{
"cells": [
{
"attachments": {
"1*KNbv0LOpKwA6g_8-d25mxw.png": {
"image/png": "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"
}
},
"cell_type": "markdown",
"metadata": {
"papermill": {
"duration": 0.061492,
"end_time": "2020-11-12T17:49:55.760867",
"exception": false,
"start_time": "2020-11-12T17:49:55.699375",
"status": "completed"
},
"tags": []
},
"source": [
"# Introduction\n",
"\n",
"POur une nation, les soins de santé sont l'un des services extrêmement importants pour maintenir sa population en bonne santé et travailler pour l'essor de l'économie. Le manque de soins de santé ou l'effondrement des soins de santé peut avoir des conséquences massives sur le développement d'un pays. C'est la raison pour laquelle chaque gouvernement de chaque pays dépense des milliards de dollars pour améliorer et maintenir le fonctionnement des soins de santé afin de donner à la population des options de soins de santé abordables.\n",
"\n",
"Cependant, les défis auxquels est confronté un pays comme l'Inde sont bien plus complexes que ceux du reste du monde. Dans un pays de 1,33 milliard d'habitants vivant dans des régions reculées, il est très difficile de fournir à chacun des possibilités égales et abordables en matière de soins de santé. De nombreux pauvres doivent parcourir des milliers de kilomètres pour obtenir les soins de santé dont ils ont besoin. Le manque de lits et de personnel de santé est un autre problème auquel sont confrontés les soins de santé en raison de l'augmentation de la population. Ce problème a été particulièrement observé pendant la période difficile de COVID-19, où les personnes présentant des symptômes, même légers, affluaient en grand nombre dans les établissements de santé du gouvernement, ce qui rendait la prise en charge des patients extrêmement difficile pour les fonctionnaires.\n",
"\n",
"Des méthodes innovantes doivent être recherchées afin que les fonctionnaires puissent prévoir le trafic des patients. En évaluant les problèmes de santé, nous pouvons mettre au point un algorithme de ML qui peut prédire combien de temps un patient devra être hospitalisé. Si l'algorithme peut aider les fonctionnaires à obtenir une valeur approximative de la durée d'hospitalisation, ils pourront mieux gérer le trafic de patients.\n",
"\n",
"\n",
"\n",
"![1*KNbv0LOpKwA6g_8-d25mxw.png](attachment:1*KNbv0LOpKwA6g_8-d25mxw.png)\n",
"\n",
"# 1. Importation de données et librairies nescessaires"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"execution": {
"iopub.execute_input": "2020-11-12T17:49:55.883628Z",
"iopub.status.busy": "2020-11-12T17:49:55.882826Z",
"iopub.status.idle": "2020-11-12T17:49:58.248200Z",
"shell.execute_reply": "2020-11-12T17:49:58.247374Z"
},
"papermill": {
"duration": 2.430084,
"end_time": "2020-11-12T17:49:58.248337",
"exception": false,
"start_time": "2020-11-12T17:49:55.818253",
"status": "completed"
},
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
" \n",
" "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"#######\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt\n",
"import plotly.graph_objects as go\n",
"import plotly.express as px\n",
"import plotly\n",
"from plotly.offline import download_plotlyjs, init_notebook_mode, plot, iplot\n",
"plotly.offline.init_notebook_mode (connected = True)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"execution": {
"iopub.execute_input": "2020-11-12T17:49:58.374265Z",
"iopub.status.busy": "2020-11-12T17:49:58.373449Z",
"iopub.status.idle": "2020-11-12T17:49:59.322365Z",
"shell.execute_reply": "2020-11-12T17:49:59.321646Z"
},
"papermill": {
"duration": 1.015756,
"end_time": "2020-11-12T17:49:59.322502",
"exception": false,
"start_time": "2020-11-12T17:49:58.306746",
"status": "completed"
},
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" case_id | \n",
" Hospital_code | \n",
" Hospital_type_code | \n",
" City_Code_Hospital | \n",
" Hospital_region_code | \n",
" Available Extra Rooms in Hospital | \n",
" Department | \n",
" Ward_Type | \n",
" Ward_Facility_Code | \n",
" Bed Grade | \n",
" patientid | \n",
" City_Code_Patient | \n",
" Type of Admission | \n",
" Severity of Illness | \n",
" Visitors with Patient | \n",
" Age | \n",
" Admission_Deposit | \n",
" Stay | \n",
" Count | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 1 | \n",
" 8 | \n",
" c | \n",
" 3 | \n",
" Z | \n",
" 3 | \n",
" radiotherapy | \n",
" R | \n",
" F | \n",
" 2.0 | \n",
" 31397 | \n",
" 7.0 | \n",
" Emergency | \n",
" Extreme | \n",
" 2 | \n",
" 51-60 | \n",
" 4911.0 | \n",
" 0-10 | \n",
" 1 | \n",
"
\n",
" \n",
" 1 | \n",
" 2 | \n",
" 2 | \n",
" c | \n",
" 5 | \n",
" Z | \n",
" 2 | \n",
" radiotherapy | \n",
" S | \n",
" F | \n",
" 2.0 | \n",
" 31397 | \n",
" 7.0 | \n",
" Trauma | \n",
" Extreme | \n",
" 2 | \n",
" 51-60 | \n",
" 5954.0 | \n",
" 41-50 | \n",
" 1 | \n",
"
\n",
" \n",
" 2 | \n",
" 3 | \n",
" 10 | \n",
" e | \n",
" 1 | \n",
" X | \n",
" 2 | \n",
" anesthesia | \n",
" S | \n",
" E | \n",
" 2.0 | \n",
" 31397 | \n",
" 7.0 | \n",
" Trauma | \n",
" Extreme | \n",
" 2 | \n",
" 51-60 | \n",
" 4745.0 | \n",
" 31-40 | \n",
" 1 | \n",
"
\n",
" \n",
" 3 | \n",
" 4 | \n",
" 26 | \n",
" b | \n",
" 2 | \n",
" Y | \n",
" 2 | \n",
" radiotherapy | \n",
" R | \n",
" D | \n",
" 2.0 | \n",
" 31397 | \n",
" 7.0 | \n",
" Trauma | \n",
" Extreme | \n",
" 2 | \n",
" 51-60 | \n",
" 7272.0 | \n",
" 41-50 | \n",
" 1 | \n",
"
\n",
" \n",
" 4 | \n",
" 5 | \n",
" 26 | \n",
" b | \n",
" 2 | \n",
" Y | \n",
" 2 | \n",
" radiotherapy | \n",
" S | \n",
" D | \n",
" 2.0 | \n",
" 31397 | \n",
" 7.0 | \n",
" Trauma | \n",
" Extreme | \n",
" 2 | \n",
" 51-60 | \n",
" 5558.0 | \n",
" 41-50 | \n",
" 1 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" case_id Hospital_code Hospital_type_code City_Code_Hospital \\\n",
"0 1 8 c 3 \n",
"1 2 2 c 5 \n",
"2 3 10 e 1 \n",
"3 4 26 b 2 \n",
"4 5 26 b 2 \n",
"\n",
" Hospital_region_code Available Extra Rooms in Hospital Department \\\n",
"0 Z 3 radiotherapy \n",
"1 Z 2 radiotherapy \n",
"2 X 2 anesthesia \n",
"3 Y 2 radiotherapy \n",
"4 Y 2 radiotherapy \n",
"\n",
" Ward_Type Ward_Facility_Code Bed Grade patientid City_Code_Patient \\\n",
"0 R F 2.0 31397 7.0 \n",
"1 S F 2.0 31397 7.0 \n",
"2 S E 2.0 31397 7.0 \n",
"3 R D 2.0 31397 7.0 \n",
"4 S D 2.0 31397 7.0 \n",
"\n",
" Type of Admission Severity of Illness Visitors with Patient Age \\\n",
"0 Emergency Extreme 2 51-60 \n",
"1 Trauma Extreme 2 51-60 \n",
"2 Trauma Extreme 2 51-60 \n",
"3 Trauma Extreme 2 51-60 \n",
"4 Trauma Extreme 2 51-60 \n",
"\n",
" Admission_Deposit Stay Count \n",
"0 4911.0 0-10 1 \n",
"1 5954.0 41-50 1 \n",
"2 4745.0 31-40 1 \n",
"3 7272.0 41-50 1 \n",
"4 5558.0 41-50 1 "
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#charger et lire les données\n",
"df=pd.read_csv('../data/Ifrisse_td1.csv')\n",
"#inspecter les 1ère lignes des données\n",
"df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {
"papermill": {
"duration": 0.058797,
"end_time": "2020-11-12T17:49:59.439743",
"exception": false,
"start_time": "2020-11-12T17:49:59.380946",
"status": "completed"
},
"tags": []
},
"source": [
"* tableau de données :\n",
"ligne = une modalité (observation) / colonne = une variable\n",
"\n",
"\n",
"Comme on peut le voir, nous avons de nombreuses colonnes contenant des informations telles que le code de l'hôpital, le code du type d'hôpital et de nombreux autres identifiants de ce type. Bien que nous ne disposions pas d'une documentation détaillée sur la signification de ces codes, nous les conserverons car ils pourraient nous fournir de précieuses informations pour notre apprentissage automatique.\n"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"RangeIndex: 318438 entries, 0 to 318437\n",
"Data columns (total 21 columns):\n",
" # Column Non-Null Count Dtype \n",
"--- ------ -------------- ----- \n",
" 0 case_id 318438 non-null int64 \n",
" 1 Hospital_code 318438 non-null int64 \n",
" 2 Hospital_type_code 318438 non-null object \n",
" 3 City_Code_Hospital 318438 non-null int64 \n",
" 4 Hospital_region_code 318438 non-null object \n",
" 5 Available Extra Rooms in Hospital 318438 non-null int64 \n",
" 6 Department 318438 non-null object \n",
" 7 Ward_Type 318438 non-null object \n",
" 8 Ward_Facility_Code 318438 non-null object \n",
" 9 Bed Grade 318325 non-null float64\n",
" 10 patientid 318438 non-null int64 \n",
" 11 City_Code_Patient 313906 non-null float64\n",
" 12 Type of Admission 318438 non-null object \n",
" 13 Severity of Illness 318438 non-null object \n",
" 14 Visitors with Patient 318438 non-null int64 \n",
" 15 Age 318438 non-null object \n",
" 16 Admission_Deposit 318438 non-null float64\n",
" 17 Stay 318438 non-null object \n",
" 18 Count 318438 non-null int64 \n",
" 19 Hospital_type_code_cat 318438 non-null int64 \n",
" 20 MissingVal 0 non-null float64\n",
"dtypes: float64(4), int64(8), object(9)\n",
"memory usage: 51.0+ MB\n"
]
}
],
"source": [
"# consulter les informations sur les données\n",
"df.info()"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Hospital_type_code | \n",
" Hospital_region_code | \n",
" Department | \n",
" Ward_Type | \n",
" Ward_Facility_Code | \n",
" Type of Admission | \n",
" Severity of Illness | \n",
" Age | \n",
" Stay | \n",
"
\n",
" \n",
" \n",
" \n",
" count | \n",
" 318438 | \n",
" 318438 | \n",
" 318438 | \n",
" 318438 | \n",
" 318438 | \n",
" 318438 | \n",
" 318438 | \n",
" 318438 | \n",
" 318438 | \n",
"
\n",
" \n",
" unique | \n",
" 7 | \n",
" 3 | \n",
" 5 | \n",
" 6 | \n",
" 6 | \n",
" 3 | \n",
" 3 | \n",
" 10 | \n",
" 11 | \n",
"
\n",
" \n",
" top | \n",
" a | \n",
" X | \n",
" gynecology | \n",
" R | \n",
" F | \n",
" Trauma | \n",
" Moderate | \n",
" 41-50 | \n",
" 21-30 | \n",
"
\n",
" \n",
" freq | \n",
" 143425 | \n",
" 133336 | \n",
" 249486 | \n",
" 127947 | \n",
" 112753 | \n",
" 152261 | \n",
" 175843 | \n",
" 63749 | \n",
" 87491 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Hospital_type_code Hospital_region_code Department Ward_Type \\\n",
"count 318438 318438 318438 318438 \n",
"unique 7 3 5 6 \n",
"top a X gynecology R \n",
"freq 143425 133336 249486 127947 \n",
"\n",
" Ward_Facility_Code Type of Admission Severity of Illness Age \\\n",
"count 318438 318438 318438 318438 \n",
"unique 6 3 3 10 \n",
"top F Trauma Moderate 41-50 \n",
"freq 112753 152261 175843 63749 \n",
"\n",
" Stay \n",
"count 318438 \n",
"unique 11 \n",
"top 21-30 \n",
"freq 87491 "
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Analyse descriptive sur les données types \"objet\"\n",
"df.describe(include=['object'])"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" case_id | \n",
" Hospital_code | \n",
" City_Code_Hospital | \n",
" Available Extra Rooms in Hospital | \n",
" Bed Grade | \n",
" patientid | \n",
" City_Code_Patient | \n",
" Visitors with Patient | \n",
" Admission_Deposit | \n",
" Count | \n",
" Hospital_type_code_cat | \n",
" MissingVal | \n",
"
\n",
" \n",
" \n",
" \n",
" count | \n",
" 318438.000000 | \n",
" 318438.000000 | \n",
" 318438.000000 | \n",
" 318438.000000 | \n",
" 318325.000000 | \n",
" 318438.000000 | \n",
" 313906.000000 | \n",
" 318438.000000 | \n",
" 318438.000000 | \n",
" 318438.0 | \n",
" 318438.000000 | \n",
" 0.0 | \n",
"
\n",
" \n",
" mean | \n",
" 159219.500000 | \n",
" 18.318841 | \n",
" 4.771717 | \n",
" 3.197627 | \n",
" 2.625807 | \n",
" 65747.579472 | \n",
" 7.251859 | \n",
" 3.284099 | \n",
" 4880.749392 | \n",
" 1.0 | \n",
" 1.256841 | \n",
" NaN | \n",
"
\n",
" \n",
" std | \n",
" 91925.276847 | \n",
" 8.633755 | \n",
" 3.102535 | \n",
" 1.168171 | \n",
" 0.873146 | \n",
" 37979.936440 | \n",
" 4.745266 | \n",
" 1.764061 | \n",
" 1086.776254 | \n",
" 0.0 | \n",
" 1.535712 | \n",
" NaN | \n",
"
\n",
" \n",
" min | \n",
" 1.000000 | \n",
" 1.000000 | \n",
" 1.000000 | \n",
" 0.000000 | \n",
" 1.000000 | \n",
" 1.000000 | \n",
" 1.000000 | \n",
" 0.000000 | \n",
" 1800.000000 | \n",
" 1.0 | \n",
" 0.000000 | \n",
" NaN | \n",
"
\n",
" \n",
" 25% | \n",
" 79610.250000 | \n",
" 11.000000 | \n",
" 2.000000 | \n",
" 2.000000 | \n",
" 2.000000 | \n",
" 32847.000000 | \n",
" 4.000000 | \n",
" 2.000000 | \n",
" 4186.000000 | \n",
" 1.0 | \n",
" 0.000000 | \n",
" NaN | \n",
"
\n",
" \n",
" 50% | \n",
" 159219.500000 | \n",
" 19.000000 | \n",
" 5.000000 | \n",
" 3.000000 | \n",
" 3.000000 | \n",
" 65724.500000 | \n",
" 8.000000 | \n",
" 3.000000 | \n",
" 4741.000000 | \n",
" 1.0 | \n",
" 1.000000 | \n",
" NaN | \n",
"
\n",
" \n",
" 75% | \n",
" 238828.750000 | \n",
" 26.000000 | \n",
" 7.000000 | \n",
" 4.000000 | \n",
" 3.000000 | \n",
" 98470.000000 | \n",
" 8.000000 | \n",
" 4.000000 | \n",
" 5409.000000 | \n",
" 1.0 | \n",
" 2.000000 | \n",
" NaN | \n",
"
\n",
" \n",
" max | \n",
" 318438.000000 | \n",
" 32.000000 | \n",
" 13.000000 | \n",
" 24.000000 | \n",
" 4.000000 | \n",
" 131624.000000 | \n",
" 38.000000 | \n",
" 32.000000 | \n",
" 11008.000000 | \n",
" 1.0 | \n",
" 6.000000 | \n",
" NaN | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" case_id Hospital_code City_Code_Hospital \\\n",
"count 318438.000000 318438.000000 318438.000000 \n",
"mean 159219.500000 18.318841 4.771717 \n",
"std 91925.276847 8.633755 3.102535 \n",
"min 1.000000 1.000000 1.000000 \n",
"25% 79610.250000 11.000000 2.000000 \n",
"50% 159219.500000 19.000000 5.000000 \n",
"75% 238828.750000 26.000000 7.000000 \n",
"max 318438.000000 32.000000 13.000000 \n",
"\n",
" Available Extra Rooms in Hospital Bed Grade patientid \\\n",
"count 318438.000000 318325.000000 318438.000000 \n",
"mean 3.197627 2.625807 65747.579472 \n",
"std 1.168171 0.873146 37979.936440 \n",
"min 0.000000 1.000000 1.000000 \n",
"25% 2.000000 2.000000 32847.000000 \n",
"50% 3.000000 3.000000 65724.500000 \n",
"75% 4.000000 3.000000 98470.000000 \n",
"max 24.000000 4.000000 131624.000000 \n",
"\n",
" City_Code_Patient Visitors with Patient Admission_Deposit Count \\\n",
"count 313906.000000 318438.000000 318438.000000 318438.0 \n",
"mean 7.251859 3.284099 4880.749392 1.0 \n",
"std 4.745266 1.764061 1086.776254 0.0 \n",
"min 1.000000 0.000000 1800.000000 1.0 \n",
"25% 4.000000 2.000000 4186.000000 1.0 \n",
"50% 8.000000 3.000000 4741.000000 1.0 \n",
"75% 8.000000 4.000000 5409.000000 1.0 \n",
"max 38.000000 32.000000 11008.000000 1.0 \n",
"\n",
" Hospital_type_code_cat MissingVal \n",
"count 318438.000000 0.0 \n",
"mean 1.256841 NaN \n",
"std 1.535712 NaN \n",
"min 0.000000 NaN \n",
"25% 0.000000 NaN \n",
"50% 1.000000 NaN \n",
"75% 2.000000 NaN \n",
"max 6.000000 NaN "
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Analyse descriptive sur les données types \"numeric\"\n",
"\n",
"df.describe(include=['number'])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"execution": {
"iopub.execute_input": "2020-11-12T17:49:59.563448Z",
"iopub.status.busy": "2020-11-12T17:49:59.562589Z",
"iopub.status.idle": "2020-11-12T17:49:59.905098Z",
"shell.execute_reply": "2020-11-12T17:49:59.904316Z"
},
"papermill": {
"duration": 0.407102,
"end_time": "2020-11-12T17:49:59.905225",
"exception": false,
"start_time": "2020-11-12T17:49:59.498123",
"status": "completed"
},
"tags": []
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(318438, 20)"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# verifier les dimensions des données\n",
"df.shape"
]
},
{
"cell_type": "markdown",
"metadata": {
"papermill": {
"duration": 0.059761,
"end_time": "2020-11-12T17:50:00.025593",
"exception": false,
"start_time": "2020-11-12T17:49:59.965832",
"status": "completed"
},
"tags": []
},
"source": [
"## Heatmap for missing values"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"execution": {
"iopub.execute_input": "2020-11-12T17:50:00.152272Z",
"iopub.status.busy": "2020-11-12T17:50:00.151417Z",
"iopub.status.idle": "2020-11-12T17:50:05.740472Z",
"shell.execute_reply": "2020-11-12T17:50:05.739843Z"
},
"papermill": {
"duration": 5.655476,
"end_time": "2020-11-12T17:50:05.740611",
"exception": false,
"start_time": "2020-11-12T17:50:00.085135",
"status": "completed"
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAGaCAYAAAAB5IgSAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/d3fzzAAAACXBIWXMAAAsTAAALEwEAmpwYAABs1UlEQVR4nO2dd7hcVdWH318SQg8dBOlIFekgvQoCCoJ0AQFRioKADbABop8IKF0gIFWRjgLSIoRehCQkoYMBIYL0jhKSrO+PtU/uuZMpZ1rmzr3rzXOee88+e529Z+5kzT5rryIzIwiCIOi/DOr0BIIgCIL2Eoo+CIKgnxOKPgiCoJ8Tij4IgqCfE4o+CIKgnxOKPgiCoJ/TFYpe0taSnpb0nKSjOj2fIAiCdiDpAkmvSXqswnVJOj3pwnGS1ihy3z6v6CUNBs4CtgFWAvaQtFJnZxUEQdAWLgK2rnJ9G2DZdBwAnF3kpn1e0QPrAM+Z2QQzmwRcDnylw3MKgiBoOWZ2N/BWlS5fAS4x50FgbkkL17pvNyj6TwMv5c4nprYgCIKBRkP6cEjbptM6VKatV94GSQfgjzGce+65ax544IF1D2JmSOWGGthynRgz5Lpbrhk68Bpb8AJVOI+MxIEkXZUYbmbD6xmsTFvN8btB0U8EFsudLwq8nO+Q3qjszbJGFH0QBEEj2JQ6+vbWVY1QUx+WoxtMNw8Dy0paStJQYHfg+g7PKQiCwJlSx9E81wNfT9436wLvmtkrtYT6/IrezCZLOgS4FRgMXGBmj3d4WkEQBEB9K/padiJJfwY2BeaXNBE4BpgJwMzOAW4CtgWeAz4C9is0bj9MU2zdYMfsFrlOjBly3S3XDN1oo5/6QXEb/aA5WrEnUD99fkUfBEHQl6lnRd8pQtEHQRA0gX3S6RnUpqnN2HLhupKOlfRvSY+mY9vUPp+kkZI+kHRmyX2GShou6RlJT0naqeT6zpJM0lrNzDcIgqDlzNjN2IZodkV/EXAmcElJ+ylmdnJJ2/+AnwErpyPPT4DXzGw5SYOAebMLkuYEvgs81ORcgyAIWk43mG6aWtEXCNfN9/3QzO7FFX4p3wB+nfpNNbM3cteOB06sIBcEQdBZumBF3y4/+kNSZrULJM1TraOkudOvx0saLekqSQula6sDi5nZjTXucYCkRyQ9Mnx4M7EIQRAE9WFTih+doh2K/mxgGWA14BXgtzX6D8Gju+4zszWAB4CTkwnnFOD7tQY0s+FmtpaZrXXAAQfU6h4EQdA6ptZxdIiWK3oze9XMppjZVOA8PPtkNd7EHf+vS+dXAWsAc+K2/DslvQCsC1wfG7JBEPQlbFLxo1O0XNGXpMzcESibQD/DPGLrBjwaDGAL4Akze9fM5jezJc1sSeBBYHsze6TVcw6CIGgUm1r86BRNed1UCNfdVNJqeEa1F4ADc/1fAIYBQyXtAGxlZk8ARwKXSjoVeJ2CYb1BEAQdpwu8biIFQibUJeHlkQIh5Pq6XDN0YwqE/z5aPAXCrKtFCoQgCILuo4MmmaI0bKOXNIukf0gaK+lxScel9nkljZD0bPo5T2pfJxctO1bSjql9Nkl/SxGxj0s6ITfG4imadkxy19y22RccBEHQSuyT4kenaGYz9mNgczNbFXel3DrlRz4KuN3MlgVuT+fgm7JrmdlqePHbcyVlTxQnm9kKwOrABpK2Se0/Ba40s9XxPPS/b2K+QRAELadf+9Gn4rQfpNOZ0mF48dqLU/vFwA6p/0dmNjm1z5L6Zu0j0++TgNG4Xz2pz7D0+1wUqKQSBEEwQ+nvfvSSBkt6FHgNGGFmDwELZRVP0s8Fc/0/L+lxYDxwUE7xZ9fnBrbDnwQAjgX2Sh49NwGHNjPfIAiCVtOvV/QAKTBqNXwFvo6k0mRlpf0fMrPPAmsDR0uaJbuWzDh/Bk43swmpeQ/gIjNbFK+qcmmKmO1FpEAIgqBj9PcVfYaZvQPcidveX82CptLP18r0fxL4kN5ZLIcDz5rZqbm2/YErk8wDuMln/jL3ixQIQRB0hH69ope0QJaQTNKswBeAp/DitfukbvsAf019lso2XyUtASyPB1Qh6Ze4Df7wkmFexCNlkbQiruhfb3TOQRAEraYbvG6a8aNfGLhY0mD8C+NKM7tR0gPAlZL2xxX1Lqn/hsBRkj7BH2K+bWZvSFoUz0f/FDA6BT2caWbn4wnNzpN0BL4xu6/1wwivIAi6mC7wo4/I2EyoS6IOIzI25Pq6XDN0Y2TsuzcUj4yda7uIjA2CIOg+uiDXTdObscnFcoykG9N52Zqxuf6Ly+vG/iDXtluKfH1c0om59u9JeiJduz3Z9oMgCPoM3ZC9shVeN4cBT5a0nWJmq6XjptJrwM3ZiaT5gJOALZLr5UKStkiXx+DRtKsAV+MlBYMgCPoM/V7Rp43ULwHnF+y/AzABeDzXvDTwjJll3jR/B3YCMLORZvZRan+QnojZIAiCPkE3eN00u6I/FfgR0+87T1czVtLseN7540r6PgesIGnJ5H65A7BYmbH2J/ckEARB0CfozwFTkr4MvGZmo0ouVaoZexxu0vkg39nM3gYOBq4A7sF960tTI+wFrIWbeMrNJSJjgyDoCN1gumnYvVLSr4G9caU8C5587Foz2yvXZ0ngRjNbWdI99KzU58a/335uZmeW3PcA4DNm9qN0/gXgDGATM5suyrYM4V7ZQrlOjBly3S3XDN3oXvnmRcXdK+fbt8vcK83saOBoAEmbAj8ws70kLZwlNSNXM9bMNspkJR0LfJApeUkLmtlryczzbWDX1L46cC6wdUElHwRBMEPp5Eq9KO3woz9RFWrGVuE0Saum339hZs+k308C5gCuSt/WL5rZ9q2dbhAEQeP0zsHbN4nI2EyoSx6Lw3QTcn1drhm60XTz+jnFTTcLHNRlppsgCIJg4JpugiAIBg5doOibDZiaW9LV8sLeT0paTxWKg6f+q0h6IKU6GK9UeETSnZKezqVNyFel2jWlQXhc0mXNzDcIgqDVdEM++mZX9KcBt5jZzpKGArMBP8aLg58g6Si8OPiRKRjqj8DeZjY2pT7Ix4rtaWaP5G8uaVncs2cDM3s7/wUQBEHQF+gG000zAVPDgI2BPwCY2aRUaapscXBgK2CcmY1N/d80q/kd9y3grBRURbhYBkHQ17DJxY8iSNo6WTieS4vl0utzSbpB0thk6div1j2bMd0sjVd7ujBlrzw/pTmoVBx8Odwj5lZJoyX9qOR+Fyazzc/Us32+HLCcpPskPShp63ITicjYIAg6RgtTIMgLOZ0FbAOsBOwhaaWSbt8BnjCzVYFNgd8mi0pFmlH0Q4A1gLPNbHW8Bux03z4l/TcE9kw/d8xlqdzTzD4HbJSOvXMyy+IvZg/gfKXyhXmiZmwQBJ2ixSkQ1gGeM7MJZjYJuBy3kvQaEpgzLYjnAN6iJG1MKc0o+onARDN7KJ1fjSv+SsXBJwJ3mdkbKSPlTak/Zvbv9PN94LL0YjOZv5rZJ2b2PPA0rviDIAj6BnWs6PPWh3SUrkw/DbyUO5+Y2vKcCawIvAyMBw4zq/410rCiN7P/AC9JWj41bQE8QYXi4MCtwCqSZksbs5sAT0gaIml+AEkzAV8mpU0A/gJslq7Nj5tyJjQ65yAIglZjVs/RY31IR6mtuVxAVWlA1heBR4FF8OSRZ6Y904o063VzKPCnZB+aAOxHKhSukuLgyWvmd8DDaeI3mdnfkl3/1qTkB+P56M9L978V2ErSE3jBrh+a2ZtNzjkIgqBltDgFwkR6p2lfFF+559kPOME8rcFzkp4HVgD+UemmkQIhE+qS8PJIgRByfV2uGboxBcJLPy+eAmGxX1QfL1k7nsEtJP/GF8ZfM7PHc33OBl41s2MlLQSMBlY1szcq3TciY4MgCJqhhX70ZjZZ0iG4NWMwcIGZPS7poHT9HOB44CJJ43FTz5HVlDw0oeiTbf6KXNPSwM/xXPPfwl0vAX5sZjcl08z5+AbsEOASM/u1pNmAq/BiJVOAG8zsqDTGzMAlwJrAm8BuZvZCo3MOgiBoNa0OmDKvs31TSds5ud9fxuOSCtPMZuzTlgqA44r4I+C6dPkUm744+C7AzMmNck3gQHlhEoCTzWwFYHVgA0nbpPb9gbfN7DN4UfHfNDrfIAiCttCfSwmWsAXwTzP7V5U+BsyebFCzApOA98zsIzMbCR5di9ubsiLg+Sjbq4EtNKONhkEQBFWox+umU7RK0e8O/Dl3Pl1xcFxRf4jXkX0RX8W/lb9JCobaDrg9NU3zKTWzycC7wHwtmnMQBEHTtDoFQjtoWtEn18rtcTs7VC4Ovg5ug18EWAr4vqSlc/cZgn9ZnG5mma98EZ/SSIEQBEHH6Ibi4K1Y0W8DjDazVwHM7FUzm5Iitc6jJ8r1a3imy09ScrL7gLVy9xkOPGtmp+bapvmUpi+CufBw315ECoQgCDqG1XF0iFYo+j3ImW2y9AeJacXBcXPN5nJmB9YFnkoyv8SV+OEl985H2e4M3GH90PE/CILupRtW9E350SfXyC3pXQC8UnHws4ALccUv4EIzGydpUeAnuNIfnfZazzSz8/EUyJdKeg5fye/ezHyDIAhaThfko29K0afkZPOVtO1doe8HpHQIJe0TKW+Lx8z+V04mCIKgr9ANhUciMjYIgqAJOlkisCjN1ow9TNJjqcrJ4amtbM1YSUMlXSivFTtW0qa5++yR2sdJuiXLZpm7vrMkk5TfvA2CIOg4/dqPXtLKeKqDdYBVgS/La7wehdeMXRb3h8+KkXwLIEXGbolXRRmUvGlOAzYzs1WAccAhuXHmBL4LZHnvgyAI+g79PDJ2ReDBFNk6GbgL97KpVDN2JVIgVHKvfAd3r1Q6Zk9Rr8PonZbzeOBE4H9NzDUIgqAtdIPXTTOK/jFgY0nzJe+bbXGf90o1Y8cCX0mFRpbC890sZmafAAfjlVJexr8Q/gAgafXU58Ym5hkEQdA+usCPvuHNWDN7UtJvgBHAB7girxbkewH+FPAI8C/gfmByymp5MJ7QbAJwBnC0pP/DE5ntW2suqRzXAQDnnntug68oCIKgfqZ2wWZsywqPJMU8ETgM2NTMXknBU3ea2fJl+t8PfBOYHa+WskVq3xi36+8B/BP/EgH4FO5Lv72ZPVJlKlF4pIVynRgz5Lpbrhm6sfDIU3sVLzyywh+bH68RmvW6WTD9XBz4Kh4hW7ZmrLxW7Ozp9y2ByWb2BF5FZSVJCySZLYEnzexdM5vfzJY0syWBB6mt5IMgCGYo3eB106wf/TWS5gM+Ab6T6sKeQJmasbit/lZJU3HlvjeAmb0s6Tjgbkmf4GadfZucVxAEwYyhCwKmomZsJtQlj8Vhugm5vi7XDN1ounli9+Kmm5Uu74zpJiJjgyAImiBSIARBEPRz+kUKhFQl6jVJj+XayqY5SNdWkfRASoswXtIsqf1Xkl6S9EGFcaZLcyDpxHSfJyWdrhn9HBkEQVCLLvCjL+J1cxGwdUlb2TQHKZ3BH4GDzOyzwKb4Ri3ADfQUIelFuTQHktYHNgBWAVYG1gY2KTDfIAiCGUY3eN3UVPRmdjfTV3WqlOZgK2CcmY1Nsm+a+YONmT2YRcyWoVyaAwNmAYYCMwMzAa/Wmm8QBMGMpD+nQKiU5mA53OvlVkmjJf2o1o0qpTkwsweAkXjd2VeAW83syQr3iJqxQRB0hi4w3bR6M3YIsCFuZvkIuF3SKDO7vVxnSYOokOZA0mfwlAmLpqYRkjZOTxi9MLPheM1ZADvwwANLuwRBELSFbvBQb3RF/2pKb5DViH0ttU8E7jKzN1L1qZuANarcZ07c/n6npBfwOrLXpw3ZHfHsmB+k6lQ3p+tBEAR9BptS/OgUjSr6smkOgFuBVVK6gyH45ukTlW5SI83Bi8AmKdvlTOleZU03QRAEnaJfbMZK+jPwALC8pIkptcEJwJaSnsVz05wAYGZvA78DHgYeBUab2d/SfU6UNBGYLd3n2BpDX40nNRuPZ8Yca2Y31P8SgyAI2kgXFB6JFAiZUJeEl0cKhJDr63LN0I0pEEZvVTwFwhq3RQqEIAiCrqMb1sqNRsaeJOkpeTHv6yTNndrnkzRS0geSziy5zy3youCPSzpH0uDUvnFyxZwsaedc/9VyEbbjJO3WslcdBEHQIvrLZuxFTB8ZOwJYORXzfgY4OrX/D/gZ8IMy99nVzFbFvWwWoCd98Yu4e+VlJf0/Ar6eImy3Bk7NvlCCIAj6DF3gR99QZKyZ3ZYKgoN7yiya2j80s3spU8jbzN5Lvw7Bo10ttb9gZuMo2aows2fM7Nn0+8u4C+cCBEEQ9CH6hddNAb6B+7jXRNKtuMJ+H/eqKYSkdfAvh382MsEgCIJ20e8VvaSf4AXB/1Skv5l9EVgYz12zecExFgYuBfYzK58tIlIgBEHQMVpsupG0taSnJT0n6agKfTaV9Gjaw7yr1j0b9rqRtA/wZWALq8NH08z+J+l6PDHaiBpjDAP+BvzUzB6scs9IgRB0hG7wuAjaSys/A8lJ5Sw8Pmki8LCk61N97azP3MDvga3N7EWl2t3VaEjRS9oaOBLYJKU6qNV/DmBOM3slRcxuC9xTQ2YocB1wiZld1cg8g6DdNOJmHl8O/YsWe9OsAzxnZhMAJF2OL4rzGQa+BlxrZi8CmNlr092lhEYjY8/E89SMSI8P5+T6v4BHx+6b+q8EzI7nsBmHR7m+BpyT+q+dImZ3Ac6V9Hi61a7Axuk+j6ZjtVrzDYIgmJG02Eb/aeCl3PnE1JZnOWAeSXdKGiXp67VuWnNFb2Z7lGn+Q5X+S1a4tHaF/g/Tk6Ey3/5HvIhJEARB36WOJzRJBwAH5JqGJ9PztC4FRhgCrAlsAcwKPCDpQTN7ptK4ERkbBEHQBPWY4kr2E8sxEVgsd74o8HKZPm+Y2YfAh5LuBlbFY5rK0mhk7PEpWvVRSbdJWiR3rWzN2Nz160vudUrONPOMpHdy1xZP939S0hOSlqw13yAIghlJi003DwPLSloq7VPujmcLzvNXYCN5Zt/ZgM9TI7Nvo5GxJ5nZKma2GnAj8HOoWTMWSV8FehUHN7MjzGy1dK8zgGtzly9JY62Ib1LU3HQIgiCYobTQvTIFoh6Cp3x/ErjSzB6XdJCkg1KfJ4FbgHHAP4DzzeyxSveEYjb6u0tX0rkoV/CN1uwlTFczNuuUPG++h9unrqww3B7AMan/SsAQMxuR7vVBBZkgCIKOMbXF6YfN7Ca8aFO+7ZyS85OAk4res+GAKUm/kvQSsCdpRU/1mrHHA7/Fc9iUu98SwFLAHbl7vSPpWkljUiK1wY3ONwiCoC30h1w3lTCzn5jZYnhU7CGpOasZu2f6uaOkLZJb5GfM7Loqt9wduNpsmlfqEGAjPEHa2sDSlKktCxEZGwRB5+j3KRASlwE7pd8r1YxdD1gz+djfCywn6c6S++wO/Dl3PhEYY2YTkt3qL1SoP2tmw81sLTNb64ADDijXJQiCoC30W0Uvadnc6fbAU+n3sjVjzexsM1sk+dhvCDxjZpvm7rc8MA8emJXxMB4UkGWs3Jwq9WeDIAg6QheYbmpuxqbI2E2B+VME6zHAtkk5TwX+BWS7wW9LymrGGnBTVjO2BnsAl+dz5pjZFEk/AG6XJGAUcF49Ly4IgqDdtHozth1EzdhMqEvqcUbN2JDr63LN0I01Y0euXLxm7GaPRc3YIAiCrqMb1sqh6IMgCJqgGxR9oykQjpX071zqgm1Te7Xi4EMlDU9pDp6StFPJ9Z0lmaS1cm37SHo2Hfs0/3KDIAhaTH/YjMVTIJyJpyPIc4qZnVzSlhUHXzkdeX4CvGZmy0kaBMybXZA0J/Bd4KFc27z4xu9a+Fs0Sp6A/+0Ccw6CIJghdMGCvrHi4FX6ViwOjteW/XXqN9XM3shdOx44sUTui8AIM3srKfcRTJ9zJwiCoKPY1OJHp2gmYOqQlMHyAknzVOsoL30FcHxKjXCVpIXStdWBxczsxhKxIgn4gyAIOkq/DZgCzgaWAVYDXsFz2FRjCJ5X+T4zWwMPjDo5mXBOAb5fRqZIAn7vGCkQgiDoEP1W0ZvZq2Y2xcym4kFM69QQeRNPZpblurkKT2cwJ27LvzOlR1gXLzm4FsUS8GfziRQIQRB0hH6r6CUtnDvdEaiaCzlFvN6AR9iCl8B6wszeNbP5zWzJlB7hQWB7M3sET6ewlaR5kmloq9QWBEEQ1EGjKRA2TRkpDXgBODDX/wVgGDBU0g7AVmb2BHAkcKmkU4HXgf2qjWtmb0k6Hk+nAPALMyu0KRwEQTCj6AY/+kiBkAl1SXh5pEAIub4u1wzdmALhpqWKp0DY9vlIgRAEQdB1GH2/HlJDkbGp/VBJT8uLgJ+Yay9bHFzSHul8nKRbJM2f2meWdIWk5yQ9pJKyhZKGpSjcXpG2QdAXqGcjrtMbckF7MBta+OgUDRUHl7QZ8BVglVQE/OTUXrY4eGo/DdjMzFbBi9pmVan2B942s8/grpa/KRn/eOCuul9ZEMwApPqPoJ9hMxc/OkSjkbEHAyeY2cepz2upfbri4Kk0oNIxe8otP4weV8mvABen368Gtkh9kLQmsBBwW2MvLwiCoL30lxV9OZYDNkqmlrskrZ1rn644uJl9gn85jMcV/ErAH5LMtAjYVDLwXWC+FEz1W+CHDc4xCIKg7Uy1OQofnaJRRT8EL/23Lq6Ir0yr8ErFwWfCFf3qwCK46ebodK9KEbDfxitUvVTmei8iMjYIgo7RBaabRr1uJgLXpkCof0iaCsxPrjg4gKSsOPh7AGb2z9R+JXBU7l6LAROTLX8u3FS0Hv7U8G1gDtwv/wMzy+SmYWbDgUzD24EHHljaJQiCoC0YnTPJFKXRFf1f8GLdSFoOGAq8QYXi4MC/gZXUU+h7S+DJ9Pv1QJZrfmfgDnP2NLPFU8TsD4BLyin5IAiCTtINNvpGI2MvAC5ILpeTgH3S6r5icXBJxwF3S/oELyi+bxriD3jE7HP4Sn731r28IAiC9tJJBV6UiIzNhLok6jAiY0Our8s1QzdGxl67yOaFlehXX74jImODIAi6jalTO+dNU5RGa8auJulBeb3YRyStk9qr1YzdLUXF9oqkTdd2lfREunZZrv3E1PakpNM1o5cXQRAENTCGFj46RUORsXjZv+PMbDXg5+kcemrG/iDfWdJ8wEnAFilidiFJW6Rry+Kulhuka4en9vWBDYBV8Jz1a+Obu0EQBH0HG1r86BCNRsYaHt0K7g75cupbqWbs0sAzZvZ6Ov87sFP6/VvAWVnR71yUrQGz4B49MwMzAa8We1lBEAQzhm5Y0Tdqoz8cuFXSyfiXxfo1+j8HrJASlk0EdoBpr3o5AEn3AYOBY83sFjN7QNJIvFShgDPN7MnSGwdBEHSSbvC6aVTRHwwcYWbXSNoVd5H8QqXOZva2pIOBK4CpwP34Kj+bw7K4C+eiwD2SVsYDsFZMbQAjJG2cnjB6IekA4ACAc889t8GXFARBUD9ms3d6CjVpVNHvAxyWfr8KOL+WgJndgJcTzBTzlHRpIvBgyofzvKSn6VH8D5rZB0nmZjzlwnSKPiJjgyDoFN2wom80MvZlejZGNweerSUgacH0cx48j0325fAXYLN0bX7clDMBeBHYRNKQlCtnE3qiaYMgCPoExkyFj07RaGTst4DTUpqD/5HMJqn/C5SvGXuapFVTt1+Y2TPp96wI+BP4Kv+HZvampKvxL5Hx+MbsLempIAiCoM/Q6hW9pK3x+h2DgfPN7IQK/dYGHgR2M7Orq94zImOTUJdEHUZkbMj1dblm6MbI2D/N9+vCSnTPN4+uOp6kwcAzeD6wiXg6mT3SYrm03wh8oX1BLUUfkbFBEARN0OIV/TrAc2Y2AUDS5XhxpidK+h0KXIPHF9UkFH0QBEETTLXZCvfNewgmhidnkoxphZgSE4HPl9zj08COuGm7kKJvNAXCqvIC4OMl3SBpWGrfM6VFyI6pklZL134l6SVJH5Tc/6B0n0cl3StppdS+mnqKjI+TtFuRFxQEQTAjqWcz1syGm9lauaO0UlKlQkx5TgWOTGVaC9FoCoTzgaPM7HPAdaRyf2b2JzNbLaVG2Bt4wcweTTI34I8lpVxmZp9LMicCv0vtHwFfT2kRtgZOlTR3sZcVBEEwg7CZih+1yQoxZSxKT33tjLWAy5Pjy87A75PjS0Vqmm7M7O4U0ZpneXr82UfgnjM/K+mzB/Dn3H0eBKbbMDGz93Kns5O+vXJeOZjZy5JeAxYA3qk15yAIghlFi90mHwaWlbQUXrBpd+BrvcYzWyr7XdJFwI1m9pdqN23URv8YsD3wV2AXen8DZeyGbyLURNJ3gO/haRE2L3N9nXTtnw3ONwiCoC2YtW6r08wmSzoEXzwPxj1qHpd0ULp+TiP3bXSG3wBOl/RzvBTgpPxFSZ8HPjKzx8oJl2JmZwFnSfoa8FN6SgsiaWHgUryK1dRy8pECIQiCTtHqQCgzuwm4qaStrII3s32L3LMhRW9mTwFbwbSasV8q6bI7ObNNHVwOnJ2dpE3evwE/zUw/FeYTKRCCIOgIZrN2ego1aUjRS1rQzF6TNAhfgZ+TuzYIN+dsXPBey5pZlkLhS6R0CpKG4hu9l5jZVY3MMwiCoN1YF3ipF3Gv/DPwALC8pImS9gf2kPQM8BS+I3xhTmRjYGLm8J+7z4kphcJs6T7HpkuHJBfKR3E7fWa22TXda9+cu+Zqjb7QIAiCdmA2U+GjU0QKhEyoS8LLIwVCyPV1uWboxhQIw+e8r7ASPeD9DaI4eBAEQbfRX0w3i8kLfj+ZTCyHpfZd0vlUSWvl+m8paVSKdh0lafPUPpukv0l6KsmdkJNZQtLtKQL2TkmL5q4tLum2NP4TZXz6gyAIOobZzIWPTlHkq2gy8H0zGy1pTmCUpBG4L/1XgVJ/xjeA7VKQ08q4P+in07WTzWxk2mi9XdI2ZnYzcDK+6Xpx+mL4NR5ZC3AJ8CszGyFpDrxCVRAEQZ+glX707aJIZOwreN1WzOx9SU8CnzazEVA20nVM7vRxYBZJM5vZR8DI1GeSpNH0lAlcCTgi/T4SL0ZCynszJBsrqzYVBEHQVzAGd3oKNamrwlQym6wOPFRQZCdgjJl9XHKfuYHtgNtT09jUFzwr25yS5sOrTb0j6VpJYySdJM/DHARB0CcwhhQ+OkVhRZ/MJtcAh5fkp6nU/7PAb4ADS9qH4MFUp+dcMH+Alw0cg5cM/DduMhoCbJSur40XFN+3zFgHSHpE0iPDh5cmgwuCIGgfZoMLH52i0FeMvGbrNcCfzOzaAv0XxYOdvm5mpflphgPPmtmpWYOZvYzb+7MvlJ3M7N3kdz8ml4T/L3iB8D/kbxiRsUEQdIpuMN0UqRkrXLE+aWa/K9B/bjxtwdFmdl/JtV8CcwHfLGmfH3gr5bI5GrggXXoYmEfSAmb2Op7w7JFacwiCIJhRtLpmbDsoYrrZAPeA2TwXobqtpB3Tins94G+Sbk39DwE+A/ws13/BtMr/Cb7xOjq1Zwp/U+DpFG27EPArgJRY/we4h854PCn/ea144UEQBK3AGFT46BQRGZsJdUnUYUTGhlxfl2uGboyMPXXWNwor0cP/O39ExgZBEHQbnVypFyUUfRAEQROY9X1F30wKhJNSOoNxkq5Lm7BVC4Tn7nm9csXGU9uuKcXB45Iuy7XvI+nZdOxDEARBH8IYXPjoFDVt9PIKTwvnUyAAO+BRrXek0le/ATCzI0tkPwf81cyWzrV9FS9ou4qZrZzalgWuBDY3s7fVk+9+XtzLZi28luwoYE0ze7vKlMNG30K5TowZct0t1wzdaKM/aeaPCtvof/jxbB2x0ddc0ZvZK2Y2Ov3+PpClQLjNzCanbg/Sk84gT68C4clH/nvAL0v6fQs4K1PgZvZaav8iMMLM3krXRgBbF31xQdBuzOo/gv5FN3jd1GWjr5IC4RvAFWVESguEHw/8FviopN9y6f734QVxjzWzW/BkaC/l+k2kJ0Fafl5RMzboCI0seEPZ9y+MjizS66Kwoq+UAkHST/B0BX8q6d+rQHiy03/GzI7Q9KmGhwDL4v70iwL3yDNflnsHp/tvEpGxQRB0im7wuik0w0opENLm6JeBPW16Y39pgfD1gDUlvQDcCywn6c50bSJuy//EzJ4HnsYV/0Rgsdw9FsVLFwZBEPQRVMfRGYp43ZRNgSBpa+BIYPuUgjgvkxUIvzxrM7OzzWwRM1sS2BB4xsw2TZf/AmyWZOfHTTkT8Fz2W0maR9I8wFapLQiCoE8w1QYVPjpFEdNNlgJhvLyAN8CPgdOBmYERabf7QTM7KF0vWyC8CplCfwKYAvzQzN4EkHQ8nvMG4Bdm9lbBewZBELSdbrDRRwqETKhLXNfCvTLk+rpcM3Sje+UvhxZXoj+dNIPf0ERExgZBEDRBC74r2k7DkbG56z+QZMm2XrE4eLo2VNJwSc+kqNqdUvv3UlTsOHmR8CVKxhgm6d+SzmzNyw6CIGgNVsfRKRouDm5mT0haDNgSeDHXv1px8J8Ar5nZcmnDdt7UPgZYy8w+knQwcCLug59xPHBXoy8yCIKgXXSD8bvhyNh0+RTgR+Req5mNSRWjIFccPJ1/A/h16jfVzN5Iv4/Mee70irKVtCaeo/62hl5hEARBG5lax9EpGi4OLml74N9mNraKyLTi4FnSM+B4SaMlXSVpoTIy+wM3p/EG4ZG0P6xnnkEQBDMKMyt8dIqGioPj5pyfAD+v0r+0OPgQfKV+n5mtATwAnFwisxeewOyk1PRt4CYzy6dBKDdWFAcPgqAjdIONvpB7ZYqMvRG41cx+l7JS3k5PzposYnUdM/uPvGzgHcB+lurGpsCrD4A5zWxqsu/fYmafTde/AJwBbJIlNZP0J2Aj/KlnDmAo8HszO6rKdMO9soVynRgz5Lpbrhm60b3yp0OmFtbhv5w8qG+6V5aLjDWz8cCCuT4v4Jupb6hCcXAzM0k34Pls7gC2AJ5I8qsD5wJb5zJXYmZ75sbYN41RTckHQRDMUKwLtmMbLg5epX/Z4uDp2pHAsZLGpXt+P7WfhK/Yr0r9r2/o1QRBEMxgrI5/nSIiYzOhLnksDtNNyPV1uWboRtPNkUMmFVaiv5k8tOZ48jxip+Ep2883sxNKru+JL5rBzeEH13CKicjYIAiCZmjlYlnSYOAsPD5pIvCwpOvN7Ilct+fxvcy3JW2Dp2j/fLX7NlMz9tgUrdrLnKMKNWMlzVnS/oakU5PM4mmMMSk6dtvc+CemcZ+UdLpm9BIjCIKgCsbUwkcB1gGeM7MJZjYJzwCcL96Emd1vPeVUK1X360XDkbHp2ilm1stF0sz+RCpCop6asY+my6tl/SSNArLc9j8FrjSzsyWtBNwELClpfXyPYJXU715gE+DOAvMOgiBoOwUVeFHKVdWrtlqfFndUjZqK3sxeAV5Jv78vKR8ZW4teNWMz5MXAFwTuyYYBhqXf56KnuIgBs+BulQJmAl4tOHYQBEHbqWeTVbmyp4nh5hXypnUpO0T5e22GK/oNa43bTM3YDYBDJH0deARf9b9dIlJaMzZjD+AK6zFuHQvcJulQYHbgCwBm9oCkkfgXjYAzzezJeuYcBEHQTqbySeG+1rvsaTkKVdWTtApwPrCNpdod1WgoMta8ZuzZwDK4OeYVPFVBvn+vmrEllJYZ3AO4yMwWBbYFLpU0SNJngBXxF/tp3MVz4zJzi8jYIAg6Qott9A8Dy0paStJQXFf2cjeXtDhu9t7bzJ4pctNCK3qVqRlrZq/mrp+HR87mKVXmWd9VgSFmNirXvD+wdbrvA5JmAeYHdsQrV32QZG8G1gXuzt/Tojh4EAQdYmoLbfRmNlnSIXjW38HABWb2uKSD0vVz8NQz8wG/T74pk81srWr3bSgyNrUvnOz34Ar5sdy1rGbsdKtvytvtX8QjZS+StCJul389tX9L0q9x080mwKm15hwEQTCjMJvS4vvZTbhDSr7tnNzv3wS+Wc89m6kZu4ek1fCNghfoSV4G1WvG7oqbZ/J8HzhP0hHpfvumlAlXA5sD41P7LWZ2Q4E5B0EQzBCM1ir6dhCRsZlQl0QdRmRsyPV1uWboxsjY7wx6sbASPWvq4n0zqVkQBEFQmSlM6vQUahKKPgiCoAm6wXTTTAqEK3LpDF7I7PeqXhx8t5Ti4HFJJ+ba95X0eu5+30ztq0l6IPUfJ2k3giAI+hDGlMJHp2imOPg0pSvpt8C76bRscXBJ8+HpiNc0s9clXSxpCzO7PcldYWaHlIz9EfB1M3tW0iJp7FvN7J2GX3EQBEELMSZ3ego1aSYFQlY0RLgnzeapz5iceL44+NLAM2b2err2d7ym7O1UIB8MkL44XgMWAN4p+PqCIAjaytT+oOjzlKRAyNgIeNXMni0jki8O/hywQrrHRGAHPIfNtL4p6vUZ4AgrqRMraZ3U/59l5jUtf8S5555bz0sKgiBoiql83Okp1KSZFAgZlRKX9SoOnvLgHAxcgSczewGmfRXeACxpZqvgK/2LS+61MHApXoN2ujA0MxtuZmuZ2VoHHHBA6eUgCIK2MZXJhY9O0XAKhNQ+BPgqsGZJ/0WB63D7+rQVeAp2uiH1OQB8d6IkKc95+BdEdq9heA3an5rZg/W8uCAIgnbTL2z0lVIgJL4APGVmE3P956ZMcfB0bUEze03SPMC3cdt+aTqF7YEnU/tQ/AvjEjO7qoHXFwRB0FasjuyVnaLhFAgpH0O5xGX54uA/S21bmdlrwGkpqRnAL3Kbrd+VtD1uynkL2De174qnU5hPUta2b66QSRAEQUfphs3YSIGQCXVJeHmkQAi5vi7XDN2YAuFr+mthJXqZfSVSIARBEHQbU/hvp6dQk2YiY1eT9GCKZH0kuT8iaaYUDDU+yRydu9evJL0k6YOSMTaWNFrSZEk7l1xbXNJt6V5PJPfMIAiCPsFUPil8dIoi7pVZZOyKeNGP78gLeJ8IHGdmq+GJ8LOUBrsAM5vZ53BvnANzyvkGvMp5KS/idvnLyly7BDgpjb8O8FqBOQdBEMwQjE8KH52imcjYagW9Z0+ul7MCk4D3kvyDwHS2NDN7IbX38pFPXyhDzGxE6tfrSSAIgqDTdHKlXpRmImMPB26VdDL+ZLB+6nY1XhD8FWA2PMr1rQbntxzwjqRrgaXwYKqjrNUlXYIgCBqkG9wrm4mMPRhX4osBR+C+9uDmlSnAIrhy/r6kpRuc3xA8xcIPgLXxfDn7lplbFAcPgqAj9BcbfaXI2H3wSuQAV9Fje/8aXvLvk+Q7fx9QtXBtFSbiuXImmNlk4C/AGqWdIgVCEASdYgofFT46RRGvm0qRsS/jxbrBM1dmSc1eBDaXMzu+gftUg/N7GJhH0gK5cZ5o8F5BEAQtZyqTCh+dosiKPouM3TxXGGRb4FvAbyWNBf6PlD0SOAuYA3gMV9QXmtk4AEknSpoIzCZpoqRjU/vaqX0X4FxJjwMkW/wPgNsljQeE58IJgiDoE3SD6SYiYzOhLok6jMjYkOvrcs3QjZGxX9QPCivRW+3kiIwNgiDoNjppkilKERv9LJL+IWlsiow9LrXPK2mEpGfTz3lS+zo5E89YSTum9tkk/U3SU+k+J+TGWDxF346R14bdNndtnzTGs5L2af1bEARB0DiT+bDw0Slqmm7SZuzsZvZB8r65FzgMz0P/lpmdIOkoYB4zO1LSbMAkM5ssLxgyFne1HAp83sxGytMP3w78n5ndLGk47l1zdgqSusnMlpQ0L/AI7rVjwCi85uzbVaYcppsWynVizJDrbrlm6EbTzSbau7Dp5i67tCOmm5orenOyiNSZ0mF4UFRWCepivDQgZvZRcoUEmCX1zdpHpt8nAaOBRbNhKB9l+0VghJm9lZT7CGDr+l9mEARBe+gvXjdIGizPRf8arngfAhbKioWknwvm+n8+ec6MBw7KKf7s+tzAdvQUBj8W2Ct53twEHJraPw3ka8dOTG1BEAR9gn6j6M1sSkpetiiwjqSVa/R/yMw+i0ezHi1pluxayoHzZ+B0M5uQmvcALjKzRYFtgUslDcLdKae7fWlDRMYGQdAppjCp8NEpCqdAADCzd4A7cfPJq8kGnxXvni6rpJk9CXwI5L8YhgPPmtmpubb9gSuTzAO4yWd+fAW/WK7fovSYdfLjRGRsEAQdoV+s6CUtkEwtSJqVVCcWuB5Pg0D6+dfUZ6m0akfSEsDywAvp/Je4Df7wkmFeBLZIfVbEFf3rwK3AVpLmSV49W6W2IAiCPsEnfFD46BRF/OgXBi6WNBj/YrjSzG6U9ABwpaT9cUW9S+q/IXCUpE+AqcC3zewNSYsCP8G/JEanHfIzzex84PvAeZKOwE0z+5q7A70l6Xg8wha8zmyjmTCDIAhaTidNMkWJyNhMqEtc18K9MuT6ulwzdKN75Wf1ucJK9HEbH5GxQRAE3UY3rOhD0QdBE/S/B+KgXqbwcaenUJO6vG6CIOiNVP8R9C8mM6nwUQRJW0t6WtJzKetA6XVJOj1dHydpuhodpcSKPgiCoAn+20JvmuT0chawJe5e/rCk680sX4djG2DZdHweODv9rEgo+iAIgib4uLWmm3WA57JgUkmX4+lm8or+K8AlyTPxQUlzS1o4y1RQjv5oupGZlT2AA6tcqyhXTba/y9WSDbm+/zfsxGemUbkO/A2b5m37WEWPfBR/OkojPIukfak7NUx/VPTVaCZstlHZkBuYcp0YM+RaK9dyLBfFn47SnC1F0r4USg2TZ6Ap+iAIgr5MkbQvhVLD5AlFHwRB0Hd4GFg2pZIZCuyOp5vJcz3w9eR9sy7wrlWxz8PA24xtJrVlo7IhNzDlOjFmyLVWboZjXrDpEDyn12DgAjN7XNJB6fo5eCr3bYHngI+A/WrdVxYRH0EQBP2aMN0EQRD0c0LRB0EQ9HNC0QdBP0DSIEnDavcMBiKh6GsgaVZJy3d6Hq1C0veqHQXvMXORtk4jaUNJ+6XfF5C01AwYc5cibWX6DJa0iKTFs6OAzGWShkmaHY+cfFrSDwvI3V6krZVI2qBIW7eO19fpt5uxkr5a7bqZXVvgHtsBJwNDzWwpSavhxU+2LyC7BLCsmf09VeYaYmbvV+h7A1UCHmqNJ2kh4P+ARcxsG0krAeuZ2R/K9D2m2r3M7Lhq19M9RpvZGrXaysgth+flWMjMVpa0CrC9mf2ywJgb4u/nhZIWAOYws+er9D8GWAtY3syWk7QIcJWZVfzPLmk81f8OqxSYZ93vjaRDgWOAV/FiPWm46uNJetTMVpO0J7AmcCQwqpKcvHbzbMBIYFN6Am+GATeb2Yo1xiv8OSsj2+hn5hrggjS/qdX6tmK8/kp/dq/cLv1cEFgfuCOdb4bXva2p6IFj8dwTdwKY2aOSlqwlJOlbeDTevMAyeEDDOaRyiWU4ucBcqnERcCFewQvgGeAKYLr/gEUUeSUkfQoPtZ5V0ur0VhSzFbjFecAPgXPTXMZJugyoqujzSht/nTMBfwSqrdB2BFYHRqexXpY0Z435fTn9/E76eWn6uSfuxlZtjtvgLm+flnR67tIwYHKNcQ/Dv5DerNGvlJkkzQTsgFdr+0RStZXbgXgZz0WAUfT8/d7DE2nV4iIKfs4yJK2H//9boOSJcRjuPliLs3H3wdMlXQVcZGZPtXG8fkm/VfRmlj2y3wislAUUyAuZF/lQA0w2s3cbqFzzHfwL4qE0l2clLVhlrnfVO0AJ85vZlZKOTvebLGlKNYG0utsf+CxeozebyzeqiH0R2Bf/4vpdrv194McF5jmbmf2j5P2spQShMaU9ycwsU3zJvFEVM/tX6rtBycr/KEn3Ab+oIv4y8AiwPa5EM94Hjqgx9EvAu7XmV4Zz8XrMY4G701Pke5U6m9lpwGmSDjWzMxoYr+7PGTAUmAPXNfm/2XvAzrUGNLO/A3+XNBewBzBC0kv4ouGPZvZJK8frr/RbRZ9jyZKosVeB5QrKPibpa8BgScsC3wXuLyD3sZlNyhSavFh6TRtZGuPXwEr0Vr5L1xD9UNJ82RhZtFwNmUvx+r1fxBXYnsCT1QTM7GK8fvBOZnZNjfuX4w1Jy+TmuTNQNaIvUbfSxusZnwvMnZ6wvoErhyLMLmlDM7s3jbc+UHVMMxsLjJV0WRnlU4sJwJ2S/gY9qRDN7HeVRcDMTgfyTw//krRZrcHM7Iz0mpYkpwPM7JIaonV/ztIi5i5JF2VfpPWSxtwL2BsYA/wJr029D26Caul4/ZGBoOjvlHQr8Gf8A7o7bqMswqH4Y+rHSf5W4PgCcndJ+jFu4tgS+DZwQwG5C3Fb7Sm4iWk/yicwKuV7eFj0MmnluQC1Vy+fMbNdJH3FzC5OJpRbC4wFcGP6AlyS3oqi2ooX/ElnOLCCpH8Dz+NfMLWoW2mb2cnpvX8PN/n83MxGFBgL/EnngrSKBHgnjVmEdSQdCyyBvzfy6VT9sn4xHUPTUQhJh+GfmfeB8/GnnqOA22rIXYqbFB8FshW5AbUUfd2fM0mnmtnhwJnlzEoF9p+uBVbAFybb5RZtV0h6pIrozJKGM/1ndPNq4/VX+u1mbJ60MbtROr3bzK5r83iDcGWxFf4f/VbgfKvxZksaZWZrShpvZp9LbfeY2UbV5FK/IbhCE/B0rVWlpH+Y2TqS7sa/iP4D/KPA0wOSbsFXcqPoURSY2W9rySb52YFBlTanK8hsSe79rENpN4zcXVFmVtisIukp3FRT+t7UtL8nc5SZWaFKFpLGmtmqkr6If4n+DLiwwAbnk7g5s+7//A18ztY0s1GSNil3vZbZUtLmZnZHtT4V5Mbi+2Klf4dRFYX6MQNC0deLmvSCaWLc+/AvpKvxzeN/AyeYWVn3TjXhWSTpm8A1wOfwTbY5gJ+Z2bkF5vmYma1cq18ZufnwJ5YN8ff3XtyLqd5NyGpjvE/1v11FX3NJe5nZH1XBzbSWKSXd4yEzq1rtp4zMyviKdd7U9AbwdTN7vIbcODNbRdJpwJ1mdp2kMWa2eg25q4DvWo1EWGXkyn3e3gXGm9lrddxnHmAxMxtXsP/KTG/OrPr0kS2ais6pv9NvTTeS7jWzDcv8x88epasFl2ReMF8FPoV7eIBvBr1QZcxm3fMOx71XvoubiDYDvl6lfzOeRbeb2dvA3cDSaf5F/czvl/Q5MxtfsH/G5Wm8ndL5nrjXxhfKdW5EaZvZnEn2F/hTyqX433xPem/OlSOzw5frV3RFNFLSSfh7n7e3j64iMxz4npmNBJC0KW6aWr/GWKMk3QYsBRydngiKuCDODzwh6R8lc6y1gNkfWI8e0+emwIPAcpJ+YWaXVhKUdCe+UT0ENxm9LukuM6sauyH3uNoUV/Q34WX07qW2mekGSd8GrqP3a3yrhlz/xMwG9AHMU+Xa3UXacteWSMeJ6fhcOk7AbcS15rJLkbYyfW4EFs6dLwxcW0NmdJm2UQXfsyeAScDTwDhgPDCugNx09wceKSD3C9y8NCfuJncw8KMaMg8Vaasgu0GRtgqyI8scd9SQGVukrUyfQcAawNzpfD5glQJym5Q7CsjdgMdAZOcL4V9o8wKP1ZAdk35+Ezgu/V7kMzM+vc6xuTFvKCD3fJljQpG/YX88+u2Kvg5ux/+zlGMBSUtbT/3GpfANqLJYc+55AEcDVxVoK2VJK+hZJGkF3KVyrpJH8WHkHo1rsE3BfqWMlLQ7cGU63xn4WwG5L1pvc8jZkh7Cv0wrMUUeSHQ5vhrfg5yttgZnMP1nolzbdJhZTa+XMkyQ9DN6/Pb3whVTzeHwle6X8c/W7BT4G5rZXeod0DcbxXzMlzSzV3PnrwHLmdlbkmp5Gg2RuzbvSo8ffhH+a2ZTJU1OeyavkZ5Aq2FmbY+C7iZC0Vf3ajkC99qZkM6XpFhZsrrc89RcsA3U51m0PK4Y5qbH9APuufGtAmNhZv9SmUjVAqIH4p4bmUIbjLvsfY/q5rRGlPbXgNPSYcB9qa0iakGwjRqLHv0GcBy+OhZu3qqZYxz4PW6q2RxX9O/j+y5r15hjaUDfp6ke0JdxjzwuJVt47IT778+OeyZV4xe4U8J9ZvawpKWBZ2vIADwiaW7clDUK+AD4Ry0hSWVNnlbbhbRfMuA3Y1U7PH1m3L0L4Ckzq1nyXdKaeNh2L/c8q2CnlbQqsBr+n+HnuUvvAyPNbem1xtwR2Did1vQskrSemT1Q674VZOtOL9AM8mjk0+iJhL0XONzMXmjxOJvg9uCDcMWX8T5uLqipmCTdTIoeNfeIGYKbLT7XyrmmsUab2Rr5DdjME6eG3KOkgL6c3Phac5QkfN9qw9T0Jm4y/E5lqdaRPgfDrMAmrqR8QNgs+JfYaDMbkEFTsaKvgjy8/EB6FOidks61Gi5l5i5cqxZ1z7OeYJs/mVmRFXw57sdX/0aVFY+kH5nZicDXJO1RZi7fLTBWI5GqSLoa/wK8xerIW5IU+leK9k9j1R35a60JtikcParkY17Jy8tqb45+ImlwJpuerIq8rw0F9JmZSfon8HncBPM8/gRRE0mL4uavDejxuDrMzCbWkLvdzLZI479Q2lZlroeW3Gcuep4kBxyh6Kubbs7G86r8Pp3vndq+WfWG/qE6hvQFIeku3I2wrMKXdKWZ7QqMUfmgklrJrXYFTsI9bQScIemHZnZ1me5Z9Gu1YJNaNBKpCr5K3i/Nr2bekowGlUTdkb85mgm2qSd6NFM8jeY6Oh33KllQ0q/wPY+fFpC7S3UE9MmT0e2Om8zexD2lVOd+xIXAZUCWyXOv1LZlhTGzBGzzJ3fMfF6lReoYN+MjYNkG5PoHnd4NnhEH/qi5X/p9AWCp3LV5q8g16g1xDW5zXTodx1DFC4bkMUOP106vo8B4Y4EFc+cLFJln6jsMmLPO9/MHeJ6VCbhd/wHg0Drk58LNIy/hTyL7ATNV6T8i9RmSjn2BETXGGJN+jks/Z6KG90vJ+3kwbt5YMzsKyq6B7we8m34+QwFPmJz8PHX2XwEPljoEWLGgzKD0d7sKj9n4FsmMW6H/VOAuPJo6a6vLgwV4tEhb7tph+BPDx+lzlh1jgUMKjHcDHsV7Pb7hPwGPSSk85/50dHwCbX+BrmRvAJ5J54vgG0JFZEcDy+TOl6aMW2IZuUeLtFWQ/RTub7wd8KmCMuNLzgeVtpWRWQt3XXsB+Ff6D1RImSX5LfGniJOBLeuQmy/9J34k/SfcDV+t39nK9xOP8gXf2FwZ9x0vpJwo6GZaRX4IbjJamSpfYLn+d+JfuPPiqRBGAb8rONbg9JlePDuamXuFMXbEV/FZMrEtgOfrvMff8VX84HTshcdyVOq/Nu4mfGg63yd9Xk6nyuIsJ593Hd0AWLTV70s3HR2fQNtfoAdniLTCS201/XdTvy3Sf7w78RXNC8BmBeQeADbMnW8APFBA7ptpvIuAi9N43yggdxLu0bBvOm4GTqwhMw7YKHe+YdH3JSeTKad5q/3nw0004F4lT+AuowuX9KnoT1+vksi9l/Pg5rMJuFvegQVf17G4OWPhIq8vyWyefn613FFDdkxuzvX4mB+KR9E+ToF4BuDK9HN86t/rKDDe7LgJ7EbcFHI2sFXB93RxXFG/no6/UOVpFV9kzZt+3xjPDroTHkh4dcExF8I9zL5M7ol3IB4dn0DbX2DPym50+jl7PQoNmBlYBVgVmLmgzGr4CvmFdIwBVi0g9zQwX+58PjyfSJExv4qnDj4F2LFA/+measq1VZA9EPfVfyEp0eepslrOvfebN/g3zCuJ1wooiUHArk18Zp4vc1R9Gsgp6AvLHBfUkB2Pf6ncBqyd2ooo3ufyn5cC/ZsyEZbca970OShkDmvgbzA29/tZwLG580cLyO+KP6lejEfRPg/s3I65dsPR8Qm0/QU2YU/GbZ9z587nAb5dx9jDcHewov1vx6tZZedDgb8XkFsKmCV3Pise3FJN5pT0vmyKP97+HvgVbmNeo4bss7h3SdHX9RTupbNGuaNNf/eKEcxt/rwtVaSt5Pou+Kr69+l8aeCaAmONxCuX1TvH3xRpa/H7sjRuQs2+rP8KLF2l/2PZa0ufn43z1wqM1/C+VX88BoQfvRrMfKhUqq2kbYzVThr1f7jp5J10Pg/wfTOr6hEh6RI8ZcJfca+Nr+Cuks9A5aRa8nSt65vZpHQ+FF+dVwyckTSyylTMqniYyLNXftXMqlZdyvV/H3iY8h5OFceSdCK+kj6npP0IfP/iyCpj/gz4L25b/jA3WM1cJylS9Hu4vfsAeZ2A5c3sxgKy5UrYtSXBlqQ/4AFwdeWxrzDHcVagVGKjSHoQX5n/OTXtji+4yiaAk/QTPIjwDfyJbg0zM0mfAS62GjEbpXEB8oyyY60N8QzdQL93r0yuf3eY2Qh5ke/lJc1kxYpDDJIkS9+GyWe5SL7wbcxsWsUlM3tb0rbUdn37Zzoy/pp+1vJRH5Ip+TTepKTsK2KNhepnHI0nNnuI3gqmkg/+c9W+OKrwZXxDs5TT8BVwRUVPT/74fDCPUSB8Hje3jKInqdhE3EOloqJXE6kl0hfaL/EvpltwM+HhZvbHanLUmcde0sH43sPSkvJBR3PiHkLtRNY76dkfJR1SqbOZ/UpesHxh4Lbs/yBulju0klyOW3LR4uCb/jc1MO9+Qb9X9LjXxUZpVf133NtjN4oVvLgVL3pxDq4kDsL/I9ZisKSZLUXRyouDz1xLyHL1XNMKZA4ze6/AeK9L2t7Mrk+yX8FXQhVR76IV5+FmlKPMrGrRisS5eKbM8RQL0GkUszKBVea5T6oWZLHmcp0sY2a7ZQFlZvbfWuPRXGqJrczsRym6eSJuyhlJT9bUslj99X8vwzfqf40XKJk2xyJPOk0yUtJR9KSx2A34m6R5ofyTlpk9WKbtmWqDpBX/Qmb2w/SFuyH+JPkAXplqYNJp21G7D3o2Ag8lZTwk54FTQ3YQrtyvxn3jDwQGF5D7ER7Usz++sryXGtkWk9xl+Apwdtwu+QrwwwJyy+DpYrMV3v3k3EIryGTZAL+Ib3SuSgHX0SRzf51/g6KeGdeUnD+M59Mp7bcsFbx00vu3bO58FzzV89fJZV6s9frwfY7ss7MMaVO/gOx6DXxGH08/zwO2zv99KvTP+4hPd9Qx7oK00S2zZKxyG9yFNrrrHOdGysQh4O7ENbNe9tdjIKzoJU9WtSeueKHgk4z5avIceuc9yd/4GjPbqbTdzE5Mj8ZfwFcTx5tZkTJ9K5nZe/IEXjfhpolRuPtktXn+E1hX0hz4I3Kvyk2S9jGv99qrOf3cFq9KNLbAqjVjpKQDcIVTM9e3FXtKgOnNKj8Hbpb0S3oKbq+Fm44Or3CPk3FFneWl+TW+ip0VN8UcVGAex+BPbotJ+hPuHrtvoVfg0c3fob6i6zfIK1P9F/h2SmXwvyr9G42kBUDSdriH1iL4xugSeNTwZ5u5bzVsxmWTXNLK5MIxs0dSrpyBSae/adp94D641wNHpvOlgdNbdO8xDcqV9anH/aFnwu3Bm6S2pj0FKJ97/kLcne9ZPNR8Torno2/LqqzCPFfGXeRGpeNi4HPV/ibkojzpHT9xbx1zmQ/4Em6OqcfD6Crc1/ufeJDPbcBpBeTmIT0tpr9HoWC5Bt/nsen1jUnnmwHD2zVe7jX9NBsHfyr7chvGea6Ra/396PcrejO7G7fTZ+cT8ApOLbl9g3KVNufOxX3Tx+LpX5fAi1s3S7mV+v64v/8EM/so5WcpkhoXPNS+14oz5SZpOWb2GK4wKyLpDOtJYjXE0v/qxN653+eucZ8VzOwpSZlHSpbjf3FJi1v1KlEZhYuuK9VDzW/eljxUla0QpuYrmX1iZm9KGiRpkJmNlPSbGjLNUvcGd4M8LOlbZtareLyk/el5Khxw9HtFnx6Df8T0j9KNeIG0irL/Sc3sdDzEO+Nfkprxjqk4nvmG5qJ4FkuAu8ysYmKrEu5n+iIc5drqpajpqJS8q91USZ8ys//AtC8KJH2a2hvH38PztJcrcm543vdaZN5c78hrnf4HT45Wjk3wTe3tylwzKpeC/HKBeVTjnWTmuxv4k6TXKFb3oBka2eBuhMOB65L5M2/uG4qnchiQ9HtFj++0X4H/5zgIXx2+3qJ7t/SDqpKsl3jahV9QOfth4VuXGesEPJ9I5onwXUnrm9nRVeb3KbxIxaySVs/ddxj+aN4s1dwli3ISbvP+Pm7GAf8COpnaex1ZUZltmnhiGZ48vH6GmwznSL+XG++Y9LPok1Qm12gK5Yzt8T2AI/C9q7moXf2sWSYl77PMVXkZcvs7rcK8Atb6aYGUueb+zczuqCLW7+n3AVNZsEo+IERelHiTFtx7Kyu+0ZiXG2Nlgq4kXYNHBGYbp3vjqRO+Wtq3zvHONLNDStrGAatZcl9MMQJjqj32S9oH35Rci94BUO/hQSztMjVUpTQASNLWwI/xpzjD9z5OMLObG7lfpbYycjsAn8ETyhXZfM/k5sa9gpakd1rksiZGVS6aXrXwvaTP44XIl8FdY/c3syeKzrMZ5EGLP8VLH95G2uA2sztnxPgDnYGwos8epV+R9CU8OdKi1QSqKKbsP9IqUN2bRL1rcs6K244zb5i9K4gtY729eI6TVwOqirwK1k5Mryh+kX5WCkyZG8g8ZeaqNU6yOV8K7GFm9fgkZ6aGLHgpC5zZE0+O1Sy9nljM7BaKxTv0vkkTTyySfo9/sdwPHC9pHTM7vuDQN+HusYXiEsysZpGXCpyFpwS5G1/Vn4K717Yd84DF0cC6+Pt6mJlVjfUIWsdAUPS/TCaR7+PpcIdR2TUvoykbqKavybkouZqcmd24DP9V71qzG+Aud7X4K27eGUXxx+Ff466AI/H/eBvjbotVSbb9A6kj+MSaLJouaeUq7xl4pGwr+CL+xLIo7n6Y8T7+hFCNjfGnrynyFAr34N43RZjFzL5X51wbYZD1pP+4SqkKVruRV7Dahp6SnE9Su8Zs0EIGgunmYnz18E46nxc42ar7NTc75qM0VpNzNdxsMxeufN/CH2/H1pB7zMzKpQqoNc+FcTu90lz/U1CuoTwy6X05xHoXTf+9leQTKiN3L76ZdhFwWfa3bBeSdjKzQiXycjKl5qOapp5c3yPwotc3UiAuoVHkRe5/kGs6OX9eyfTW5JiL4FG+r5BcX/EEd5/CU36/3Ooxg+kZCIp+Ont4JRt5Gdl18aeAFXFFMxj4sJINNCf3kJl9PhsnrWhGF7VFy2vNYsXSHyAve3eGmY0v0Leq8iniQijp+fKiVjWPTBr7QvyLzPCnkIpF00tkl8WjjHfBE71daAWT0zVCMvOVempVfPKQ9BGeNhhcmS2TznuZ+yrIfgfPHPoOPSbDiu+ncuk16kHShVUuWzsWP5IuwtMKn1rS/l280E1V19mgNQwE080gSfOY2dswbUVf9HWfiWfZuwrfgPw6vtlWi7tUX03Oso/tmfeZ1chGiOfz2Dcp4I+prlzyroNr4rl/Mlt0IRdCayDKMW32bmJmhYuml4z5rKSfpvmeDqye3PN+nF+JVnovc/ep9V4iz200Gx5IdD5ei7ViwfXEirXuW4Xv4f73RW3WDwBrSLrUzCrt90xHvd49LWJdM9u3zFxOl/R0B+YzIBkIiv63eKbFq3FFtiu+eiqEmT0nabCZTQEulHR/AbGj8ICk8Xh+nJtwhVGJ/ObagXjgVD1sU7Sj5bJWpieOhuIJko/4SvRe8V5SZdwp8mRrpxR9UsmNtQoezPUlvH7sdmY2OpkFHqC3v3n2Xi6Pm6WuT+fbkQucq8H6ZrZK8tQ6TtJvqezTDhR3eZT0gJmtV9L8OPVtSg9NHlDrq3emzGwuLTfBNEG1PaZWbMQHBej3it7MLpHna98cX7l+tQ6Xso/k6X4flaeSfQVPOFZrzKlpb+Ah/MvlaatiI7PeWSt3sDqzEprZvyStCmyUmu6pZdfPROsZJ0PSMXjBkpXwL7Ft8MRtFRV94j5JZzK9bb+W6eZMPOHXj81smuIws5fTKp9c23FpjrfhOczfT+fH4k9mRcjG+Ch9mbyJF3dpBeX88afgn7GRFEv7fBDusTQ30wdbVQu06gSlaZszhDtGBDOAfq/oAZJib8RfeG88g+UheHDJYnjJvqok++45eL4TAUtJOtCK+XHXrXzlKYe/Rc9/8D9KGm5mZ9R7r4LsjGe7HGNm+0laiOpPLBlZ+Hve1l3EXHSt9c5ljqTDzOy00vYciwOTcueTqByhWsqNybf9RHqiK4u8viKU+/v+JR3FbuCb2fdKesTM/tCiebWLuygf+QvFn7CCJun3m7HNkCmTWm1l5J7CEzY9l86XwaPzVqgml/oW9tbIyYzD0+N+mM5nxxOnTWejl3QGPcpmdzw/+DSqrCLz9/iHma0jaRRux34fL+/WluyH5d6TWhvq8gpFuwLX4a93R7w49v8VGG9W4GD8CclwV8mzrSRathEa+ftWuddQfHWfj6Q+xwoU1UkeT0vSO+6i1hNZ21D5DKtBixgQK/om2IfpfbT3LdNWymuZkk9MwNPBlkW9A7Q+o57qPzU9NnL9puTOp1Am7UHikdzvjSZ5eiSteM9L9/iA2puVQH3eLPK8KF/Dn4iuz12aEzenVMS8QtHN9Jiz9jOzMdVkclyMf3lleYf2wM1SuxaUr8a0v4uajxj+PZ7t9PfpfG/gbOCbVSfgQW/LAI/S87kxapve2slh9ESEBy0mFH0ZmlEwiccl3QRcif8H2gXPqvdVKLtZ1mySqguBhyRdl853AMo+0rdi1WRm306/niOvHzvMyuQAL6UBb5b78X2R+entLfQ+XkqwFrMB75nZhZIWkLSUmZVzDS1leTNbNXc+UlKRPQ+grqjoZiOG1y6Z5x0F57kWXvugLz3OtyPBWZAIRV+eZhXMLMCreHZC8CRq8+K2yuk2y5r02MDMfifpTnrKptWzem0I9ZRpM3wjtsj7Upc3S3pf/gVM95oLzO8YXKEtj38RzoSX5qtaVDoxRtK6lkrZyXPEFKqpqjqioq3JiGFgiqRlzAvPIGlpej/ZVeIxPGDplVodZyB96Uun3xGKvgzNKJjE9609NTh7eWxIGmZekWpePI/9C7lr87ZpDllel8/QU3j5QElfMLPvVBGDnqpJhbxZJN1rZhtq+iReVZN3JXbEIzBHwzQPnaI5Yj4PfF3Si+l8ceDJzNRSw6TyHVJUdBr3WUkL1hhvdvVOfbE+Bby7gB/iTxsT8PdkCarUFJB0A/4+zgk8Iekf9Pby2b7AmO0iVvRtJBR9GZpUMOBmlEfxleTNLXxELr3PZfjj/6hy82T60nytYhNg5ex1JVfSilG5kg7HV8TX57xZRqc5VvRmMbMN089GknhNMjOTlM2xiOLM2LqB8TI+NrNJSsFu8qjoWn///YEL5DmZwCNkawY3mdnt8ojh5fG/+VNWPWK2qRKEbabQE1PQGKHoy9CkggFYDq8X+w3gDElXABdZjQr29WJmX04/G4lUXQB3yVyS3p4XRcLgn8ZXuZnJaTGqm24WxTewV8Tfl/vxDcMHzKzinkd6UqlIjSeWKyWdC8ydzCnfwDePa1LUlFaBu1RHVHQabxTQK2JY0toF5/oxxcxmmNldAJJ+Y2a9cv/LK0zdVeQ+jaDGM6wGLSDcK2sgz88yzRZdr+1bXgDhj/ij+FjgKDN7oMG5lHUpVPn8Ne8C/zKzspWD5BG+9+BPA9PsulYgmZeku/Co02wjdW08QvWjdI+yJoDkDrgW7k+/XjreMbOVKvR/Hn/fyz3Wm9XOrbMlsFWSv9XamBsnN+YgfIU+bVzg/CJPdZJWwl1ed8c3kddq0xzLuatOq9fQpjFvoSfDav7zVq6aV9BiQtFXQdLPcY+ZbMNwB+AqM/tlDbn5gL1wD4tXcQ+Y6/EarVdVW4FX89hQhXS9kh7EqyiNw5XL5+gpAH2QlcmbL+lRq5E1ssocqxZtyVaOZeTmwpX7Bunn3HiRjrbmYJE0P/BmH/MyAab9vfdIx2Tczr6Wmb3QhrEOxp8wlsaD+TLmBO4zs71aPWZu7IYyrAYtwvpAhfK+euB5s2fJnc8KPFlA7hm8fNyiZa4dWUXuW3jlpn+m82WB2wuMdznw2dz5Svj+wNJ45sByMr8Etm3ivVkC+ELufZmzSt/huA32FuA4PGXCPAXGWCH9XKPcUUFmXeBO/Mt5ddzD5D94HMPWbfysjMe/aMseFWTux/Pc/Az/cgd4vo4xr8Hz/wwq2H8u3HTy5/T3y4552/W+lHwGPtfuceIof4SNvjov4J4umbfIzPReCVXip2Z2Zb5B0i5mdpWZ/aaKXCMeG+AK8fHsxMyekLS6mU1Q5frLhwE/lvQxXoWr6EZzTRfCMiyOv3fPAv8GJlKs8EQjxbrPxIuEzIUX3t7GzB6UtAKu4OquPFWQRnziX8ffu4WABfD3p56njrPxTdvTJV2F7wM9VaW/mdkL8rTIvWinl1aingyrQYsJ000VJP0Ftz+PwP8Dbon7jL8GVWt6NlpztKE89mmz9y160hnshscA7I3vKxTa2CuKGiisIv/G+Sxun18fL9z8Fr4he0wr52bJJCXpSTNbMXdtjBWoQ9Dk+PdZb5/4sm25a3Phm5R74C6rcwNfNLNCkca5e+wB/AR4Cd90/qOVpEKQdKOZfbnC3odZjT2PZkgmqumw5gudBwWIFX11rktHxp3VOkvaBtgW+LSk03OXhuH211rU7bGR2Df1PRz/z3svXjnoEzwKNT/HFczsqQobuFiBIiA04EJovqJ4TNI7+Kbcu/gqeB2gqqJPK9A/WU+VsHnwurW/L9M9X3O1NEXujFjV1OUTb56T/wLcvXJB/Ev6VEmLmdlitQYr2Q8ag5d43BBP37FpyVgNe2k1izWeYTVoAbGiL0hSLotZlVD/9EFeDY9o/Hnu0vvASEvFT6rIN+OxMSuwuJlVLeYgz2p5gDwlbilmBfLTy1M2v4MXYjkU/5J5wsx+UqH/d/FV/Ab4l899uJfOffhmbNWC2OU2jqt4IE3BUyAL3zvIzCbC91tmqvX6mkHSmrjizvvEF6qiVXKfJWqtdiVdi9dhvRQ327ySu/aIVfDakXQJ7nF1Tw1TT8vQ9BlWdwTamWE1yBGKvgrytALb408+j+I21busRiFnSTOVPjaXXL/GzHZq4Ty3B04ChprZUvLas7+wNkU61vuFJOl3+MbjfXllVMd44/DC21nw02B8g7Mt2TJbgRqootXAGNua2U0lbTXLDEraHF/1b0TasAfuthpZWZuca+EMq0HrCUVfhZyt/Jv4av6YVvgbl65G1WQWQ3m64M2BO3M283b7RS+Q5vZ6u8bIjXUS7i1yDv4+HQS8ZGbfb/fY9ZLs5cfQO3XwL9qh8BvdC0r9BuP7T5vh7+d/rUAa7UZJn/G1LaV6ljQL8HC1fZ2gdYSNvjpDJC2Mp6cta5ZokFKl3mwWw8nm0ZStmFtF0obqMXghFqWmKXhh8loJuJrhSLzE4sFp3NtoXSGQVnMB7tKZpTTeG3d1na5gjVKEauaRVXQASZ8CPo3v5axOz6bqMDxjZy352/F9gwdwE87aZlYxjXaLKJxhNWg9saKvgqRdcB/n+8zsYHl2wJOaNbtUWnXV67GR6/MH4Ha8Vu1OwHeBmczsoGbmWWacI/DN5gMspftN78nZwC1mdkorx+tGKuwnTNeW2sfjMQEPFVmF5+T2wTfg16J3fYH3cVt91VKCkk7BC8N/jO+T3I2bUarVd20a9USZCzcVtTXDapDD+oAz/0A78BJ85dofBTbMna9PhYCnErnZ8ILnD6fjl+QCvSrIbADMnn7fC/gdsESteQPzl2lfoNJratH7tSxwNV4OckJ2dPrvWGGuD5T8DTfAlWi5vifh3keTgfdwRT3tZ4GxdmpyrnPgm+n/wj2p2vF+DEs/5y13dPrvNVCOWNFXQdKiwBn4f9Ys7/phZjaxyftuZeXTEtTtsZFsrbea2RfqnMM4vO7rKrip6A944fSK6Q1UJYy92rVmkXQvbjI6Bc/pvx/+NNoy//tWkTyvLqHnb/g2sK9VcSWU9Fcz+0odY+xlZn+U9H3K7O2Y2e9qyB+Cb8SuiSv5u3EPnDuKzqGOuZb67k+7RJt994MewkZfnQvxVMC7pPO9UtuW5TpX2VTtFQVYTsmn9umyGNaaoJlNkfSRpLmK9M8x2cxM0leA08zsD8kkUI1JDV5rllnNU/LK3OXwWEn3UMP/vhMkhZ79DTGz9wrIfEVeYD0LbHvIqm9yZ375czQ4zVnxJ7hRViHpXauwDvruBz2Eoq/OAmZ2Ye78Inlu9Uo0VRKw1GNDniWyiMfG/4DxkkbgPuRAzULf70s6Gv/y2jg9GdTyMV9VUjnFJUqKorSY/yWXzmfTavTfQJHUEDMMSd8D3jWzP0CPgpd0KDDYzE6tIrsLniv+Tvy9PEPSD83s6nL9zezc9Pd6zxrYFzGzk+qVaRZJG+BmyA8l7YXvTZxqZi/WEA1aQJhuqiDp78BF9FRS2gMv01cpp0uz412De2xkdV33xv3Hp/PYKJEruxK3KvVhk+fG13AXt3skLQ5samadLBBdFnlu9ifx9ADH494lJ1kq9dcXkPQYnmhtUkn7zPh7XNHVVV7ndUtLni/JdfXv1rsebDm5kWa2WbU+fYVGTIVB6whFX4Wk/M7EU+oaHvRzmNWOWFwXt+2vCAwFBgMfWo2EYfV4bNRDtQCtZGLIF4JoZ2KrupB0m5ltlX4/2sx+3ek5VUJVcv1Uu1buenp6GVtNJvX7Fb4XcAW9n+TqisKdEWSeZvLU3/9OpsJCPv9B84TppgrpsbKR6NIz8eIRV+EucF/HE1bV4r/qnSdlA6bP19II0214SToQT9XwX3r2Faxc3w6yQO73XYA+q+gBJC1kZq+WthUQvUXSrfQ8Oe4G3FSlf8b66Wc+hqFSVs/8nGbHA6SmSloOT6Nws1WJ5m4BjZgKgxYRir4Mks6geqRqNdt31uc5SYPNbApwobyiUy0OAi5RT+3Qt3F/6WYp91p+gOewf6MF928X3fS4eRLwt+QJk62o18Tr41at1WpmP5T0VXp8zIeb2XXVZJJco2abu4GN5Pmbbsd98XfDA/TaxW64qXB/M/tPelqe4XsFA5VQ9OXJB6EcR/3eHR/Jy+Y9Kk8A9gpVMhhmNOKx0QT/pFjUbSdZWtL1uPLLfp+GtSmXTyOY2SWSXsdX1yvjX1KPA8eY2c0F5K+lJ+FXIdLTwv8Bi5jZNvJShOtlG8LVRM3sI0n741HNJ0pqd/DS+7h315TcU8Sfa8gELSJs9DVQAznM5bm3X8Xt80fgdtSzzKxs0ZJSj41ce02PjYLzme41pND5C/EiJ9OSYBV5WplRqMGShX2ZVu41SLoZ/xv+xMxWlaeLHlPAtj8Gzzh6Cr7CfrzWPkIL5joK992fB3gQX0x9ZGbtfIoIErGir00j34Q7mGcC/B/+RJClaa2UHfAbuLtZKcPxSNdTG5hDniPLtJ2LV2AaT+8c7n2Gooq82mZzH6SVew3zm9mVyfaNmU2W5x6qxWHA0cB1SckvDZRLW91Kyj1FPNrmMYNEKPr2sA/TK/V9y7RlWKlbXmr8WKqcqazJAK3JViPdchfRlzaQa1H276mC9QRK+FBeeCRL37wunlKh8uC+Cbpd3uxlZhPw/EjtRJLWw/cB9k9tg9s8ZpAIRV8GSe/To0BnywUJVa2rKmkPfMNpqRJ78pzAmzXGbMRjo5kArZGSDsArWOVNN33GvbIOusn+ON1cJW2Hb9gOxT87q1GsnsD3geuBZSTdh3sp7Vx1cLeRr9nIxJvkcGb8U0SQCBt9C0m2+aXwR/OjcpfexwtllA03l/R1fEVVzmPjrGqBT03M9fkyzWZdmHukm/yxK+yXNFxPINnll8cXIU8XcZGU9Fs8UdxV9Pa/r2szOOgeYkXfQlIg1b/wAKt65Jry2GgkQMv6V+6R9ibirwNJ89Z4KiqXd76hegIpovYK4IpKG/0VmBd/wsz72xt1ev0UQdKpZna4pBson4Ctz3hO9WdiRd9CJN1rZhuWmH6ghsmnjvuX9diQ9AhlArSsQg3XJDMTXsgjq4R0J3Bum4Nm2oIqZAPtBJKexdNNX4gHIRWp99tQPYH0BLlbOqbiSv9K60P5YyStaWajKnlQdaPnVDcSir6LqGSiUCoEnX/cl3S/ma0//V2myZyPRybm8+pMMbNvtmPujVBlsxmoXWKxE6TN8y/gnlTr4Mr3IjN7porMbHgFs3wN3uMtld0rOO6yeJGcPc2s6ian2pR+O+i7hKJvE+qppmPAvdaCajqVfPol3Y0rl/OB/+ABWvtalaRYksaWXi/X1knSihUqlFi09pYvbBpJmwF/xIPlxgJHmdkDVfoPw5/83q9jjCXxsoW7AVNwM85va8iMwNNvZ+/nXvgXRNn0261A0pfxhHRL4CbjljzlBsUIRd8GUuKmXeixee4AXGVmv2zyvpVW9HUFaGX3AnbJ+iQviKv74qamGiyx2AmSu+Ne+BPSq3iWxuuB1fDPwHR7I/LsnBfg3lngLpLfMK9PUG2sh/CnsqtwBT+h4BzbkjyvxpjP4XVzxxcxZwUtxvpAmav+duApdWfJnc8KPNmC+46p0H5YkbaS61sAL+K2+buAF4DNOv3eVZjrozRQYrFDc30GN6EsWubakRVkxgEb5c43xL20ao21QoNz/Dv+ZTQ4HXsBt7f5fRkJDOr032egHuF10x5ewAtxZDbWmfHcMlVp0GMD6g/Qwrxi07L0uOY9ZWYfV+rfYb6BJ4abCzeFvZva+iI/NbMr8w2SdjGzq8zsNxVk3jeze7ITM7s3bejX4u20kVtvrptv4BlWT6En/fZ+BcZrhh8BN8mL6eTjNqqWPQxaQ5hu2oCkv+Bl4Ubg/5G2xDe8XoPK+WTq9djIBWhtCNyTuzQnvrFasY5st3jdpEjO75rZKaqjxGKnKGdeq+XnL+kUvMD7n/HPy2545tJroHJ++SZy3WxgZvfVamslkm4DPqAk5YaZHdeuMYMeQtG3AdWovWoVAqDq9dhoNEAryfZ5r5sMSXea2aadnkc1JG0DbItvjF6RuzQMWMnM1qkiWy1C1MysbH55SQ+b2dr5TfoitvZGvoyaJfMMa9f9g+qE6aYN5BW5POf3YmY2roCc4U8BI3IeG99OgTHTeWxYgwFaibWtt4fNHWmcvsh9ks6kb1dSehnPyLg9kN9EfR/fIK/GF8zrFtRLXbluUq6Z9YEF5BlTM4bR/rwzf+9L8Q4DjVD0bUDSnfh/+CG4KeZ1SXdZjSRiZTw2DiXnsYGv3vP9mwnQmiJpGevtddOIspkRNFRJaUZiXktgrKQ/VXuSqsBzkq4GLjCzJ+uQ+x715boZCsyBfy7nzLW/V0OuFXwH+JGkj4FPCPfKGUqYbtpA9igt6Zv4av6YIrlLJD2D+zZfaCXBK5KOrLKZ18gct8DtuxPw/3RL4IXPI9FUA0i60sx2rRTkVe1vL2lOPLJ5P2AQ7mp5uRUoPNNgrpslrEbd46B/EYq+DaT/7Fvh9u+fmNnDBRX9rpU8NgqMWXeAlqSZyXndAGu1c0OuGSR9Cfgs7s0EgPWhgClJG+GbjKXRpUsAL5vZc2VkhpSu/iVtjG/Kzg1cjUfIPlfSZ23gJTP7Tzr/Op464V/AsZU8t9SBvDPpc1mRPmZ+67eE6aY9/AIPY78vKfmlgWcLyB0FXFnSdjSV3SqBsgFaF0kqG6CVvFh2BT6Ne/aMS1GLZ+P+/nVV05oRSDoH90rZDI/+3Rn4R0cnNT1HAj8uXSlLWgB3Y9yujMw/gDXS3+RL+Cb8EsBvgT/hFZluApYrkTsX37TPvhhOwM18q+HFaiqZYbJI2Ko1bFtMFqU7C56HaSy+sFgFr2624Qycy4AlVvR9gGY8NpL8k8DqlnKjyItYjDazFcv0vQhYDFcyn8dXgesCR5vZX5p+MW0gexrK/ZwDuNbMtur03DIkPWZmK1e4VrZMX+bpImkCHlB0fumGu6TTS91x86kqJJ0FvG5mx6bzml43Jfcq7CzQDJIuB35lZuPT+crAD8xs33aOGzixom8Dqj9pVDMeG1BfgNZawCpmNlXSLMAbeKbL/xQYp1Nkr+sjSYvgKXb7WprlWapcm7VC+4LJ++UC4L/AeskzBvBgogoxF4NzZp8tgANy12r+n27UWaBJVsiUPICZPSYvsBLMAELRt4cL8aRRu6TzvVJb2aRRTXpsgEcaPi5PVjUtQEvS6en+eWUxycympvb/SXqmryp5SYcD9wHXS5obL8QyGn+N53duZmV5WNK3zOy8fKO8RmqlnDWDcS8YpZ9F+TNwl6Q38C+Ie9JYn6FGKcHEXGb2XnIWuDBzFqhj/EZ4MsVu/BH/++0FPNHmMYNEmG7aQLnH52qP1M14bCT5wgFakj4Css09Acuk8151ZvsCkk7GXStXxG2796fjATOrWppxRiMv+3gdMIkexb4W7tK4Y7kv02aClJLP/MLAbWb2YWpbDpij1gZno84CzZCeHg/G9x2Ef2EvaWb7VxUMWkKs6NvDG5L2wldeAHtQvWbsGZI2YPoasEvgZp2q1BmgNZ3dvq9iZj8AkDQUV5rr4y6IwyW9Y2YrdXJ+eczr/a6fAt0yW/3fzOyOKmINV8YyswfLtFXMeV9C5ixwb53OAg2Tnh5H4l9OuwHz4F5FwQwgVvRtQNLieNKo9ehJGnVYJd9lSTfiHhvjStrXwssJlvPYyPe7kxKbK9Bum+sMQ57MbD18z2M93PVwvJm1OxFXW1HtJHZdT3rK2J2exc4V+CbsElUFg5YSir4P0IjHRkmfhgK0+jqShuO+8+/jrngPAg+a2dsdnViXIulHZnaipDMobyIsm2yvyTGn4nsI+2fxAJImWBcWoe9mwnTTQir9B8qo8h+pEY+NPEMkLYy7Z1asE9uFLI57ED0L/BsPRnqnkxPqcrLNz0dm4Jg74Sv6kZJuAS6nCZNV0Bih6FtL/j/QccAxBeUa8djI02iAVp/GzLaWJHxVvz7wfWBlSW/hG7JF39/A2VrSW1Yhe2o7MLPrgOskzY5XWjsCWEjS2cB1FknOZghhumkTqlDftULfuj02WjC/ZfH0xivRO61An3ykTrEJG+AK/8vAfGY2d0cn1WVIOgxfXS+M28r/bGaPdmAe8+Kux7tZhRTMQWsJRd8mGnGdK/HYeLyGx0Zert4ALSTdiz9xZOH5++Gfhz6zSpb0XVyxb4BnPLwPeCD9HJ/FAwT1Ia9jsHs6ZsG9wy6vw2sn6DJC0beJZnykGxhrBB6gleUy2QvY08zKBmglmVFmtmZ+s1fSPWa2UftnXAxJv8M9lu4zs1c6PZ/+iKTV8cjcVcys3Tnpgw4RNvoWot554WeTlKWZbXfu7QXM7MLc+UUpqrQa/5M0CHhW0iH4ZueCbZpfQ/QX99C+hryM5Nb4in4LvDh8lPTrx4SibyFmNmftXm2h3gAtgMPxjJDfBY7HM0NWjbANuhtJW+KfjS/hSe0uBw7IImuD/kuYbvoBDQRoDQZOMLMfzrhZBp0mRaZeBlzT3wO1gt6Eoh+gSLoD2MLiAxAE/Z4w3XQxTQRoAYwB/irpKnoX3L62skgQBN1IKPruptEALYB5cTt+3o/Z6KlSFQRBPyFMN/2EegK0Uv8NrKQ+bLm2IAi6n0GdnkDQMur9xj6jYFsQBF1OmG4GGKlU3frAAqmMXcYwvOJREAT9jFD0XUyDAVpD8bJ1Q4C83/97wM7tmmsQBJ0jbPQDFEkrmNlTJW3zm9kbnZpTEATtIWz0A5crU91RACTthAdaBUHQzwjTzcBlT+CCVIZwEWA+ertaBkHQTwjTzQBG0g54xsv3gY2zUm9BEPQvYkU/QJH0B2AZYBVgOeAGSWea2VmdnVkQBK0mbPQDl8eAzczseTO7FVgXmCH584MgmLGE6WaAIWmYmb1X4driZvbijJ5TEATtJVb0A487s18k3V5y7S8zdCZBEMwQQtEPPJT7fd4q14Ig6CeEoh94WIXfy50HQdAPCK+bgceCKceNcr+Tzhfo3LSCIGgXsRk7wJBUNWe9mUWR6CDoZ4SiD4Ig6OeEjT4IgqCfE4o+CIKgnxOKPgiCoJ8Tin6AImkhSX+QdHM6X0nS/p2eVxAErScU/cDlIuBWPEUxwDPA4Z2aTBAE7SMU/cBlfjO7EpgKYGaTgSmdnVIQBO0gFP3A5UNJ85GiYVO1qXc7O6UgCNpBRMYOXL4HXA8sI+k+PCo2ioMHQT8kAqYGMJKGAMvj6Q+eNrNPOjylIAjaQCj6AYakr1a7bmbXzqi5BEEwYwjTzcBjuyrXDAhFHwT9jFjRB0EQ9HPC62aAImk+SadLGi1plKTTkhdOEAT9jFD0A5fLgdeBnXBvm9eBKzo6oyAI2kKYbgYokkaZ2ZolbY+Y2VqdmlMQBO0hVvQDl5GSdpc0KB27An/r9KSCIGg9saIfYEh6H/euETA7KQUC/qX/gZkN69TcgiBoD6HogyAI+jnhRz+AkTQPsCwwS9ZmZnd3bkZBELSDUPQDFEnfBA4DFgUeBdYFHgA27+C0giBoA7EZO3A5DFgb+JeZbQasjrtYBkHQzwhFP3D5n5n9D0DSzGb2FJ7gLAiCfkaYbgYuEyXNDfwFGCHpbeDljs4oCIK2EF43AZI2AeYCbjGzSZ2eTxAErSUU/QBD0rzVrpvZWzNqLkEQzBhC0Q8wJD1PT8BUKWZmS8/gKQVB0GZC0QdBEPRzYjN2gCFpBTN7StIa5a6b2egZPacgCNpLrOgHGJKGm9kBkkaWuWxmFgFTQdDPCEUfBEHQzwnTzQBG0srASvTOdXNJ52YUBEE7iBX9AEXSMcCmuKK/CdgGuNfMdu7kvIIgaD2RAmHgsjOwBfAfM9sPWBWYubNTCoKgHYSiH7j818ymApMlDQNeA8KHPgj6IWGjH7g8knLdnAeMAj4A/tHRGQVB0BbCRh8gaUlgmJmN6/RcgiBoPaHoByiS/gpcAfzVzD7s9HyCIGgfYaMfuPwO2BB4QtJVknaWNEstoSAIuo9Y0Q9wJA3Gywd+C9jazIZ1eEpBELSY2IwdwEiaFdgO2A1YA7i4szMKgqAdxIp+gCLpCuDzwC3AlcCdyd0yCIJ+Rij6AYqkrYERZjYlnW8AfM3MvtPZmQVB0GrCdDNAMbNbJK0maQ/cdPM8cG2HpxUEQRsIRT/AkLQcsDuwB/Am7mIpM9usoxMLgqBthOlmgCFpKnAPsL+ZPZfaJkQJwSDov4Qf/cBjJ+A/wEhJ50nagvL1Y4Mg6CfEin6AIml2YAfchLM57lp5nZnd1sl5BUHQekLRB0iaF9gF2C1KCQZB/yMUfRAEQT8nbPRBEAT9nFD0QRAE/ZxQ9EEQBP2cUPRBEAT9nFD0QRAE/Zz/ByxYvOQEiPa5AAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# verifier les valeurs manquantes\n",
"sns.heatmap(df.isna(),cmap='gnuplot')"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"execution": {
"iopub.execute_input": "2020-11-12T17:50:05.868973Z",
"iopub.status.busy": "2020-11-12T17:50:05.868159Z",
"iopub.status.idle": "2020-11-12T17:50:06.186229Z",
"shell.execute_reply": "2020-11-12T17:50:06.185547Z"
},
"papermill": {
"duration": 0.384196,
"end_time": "2020-11-12T17:50:06.186367",
"exception": false,
"start_time": "2020-11-12T17:50:05.802171",
"status": "completed"
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"case_id False\n",
"Hospital_code False\n",
"Hospital_type_code False\n",
"City_Code_Hospital False\n",
"Hospital_region_code False\n",
"Available Extra Rooms in Hospital False\n",
"Department False\n",
"Ward_Type False\n",
"Ward_Facility_Code False\n",
"Bed Grade True\n",
"patientid False\n",
"City_Code_Patient True\n",
"Type of Admission False\n",
"Severity of Illness False\n",
"Visitors with Patient False\n",
"Age False\n",
"Admission_Deposit False\n",
"Stay False\n",
"Count False\n",
"Hospital_type_code_cat False\n",
"MissingVal True\n",
"dtype: bool"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.isna().any()"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" 0 | \n",
"
\n",
" \n",
" \n",
" \n",
" case_id | \n",
" int64 | \n",
"
\n",
" \n",
" Hospital_code | \n",
" int64 | \n",
"
\n",
" \n",
" Hospital_type_code | \n",
" object | \n",
"
\n",
" \n",
" City_Code_Hospital | \n",
" int64 | \n",
"
\n",
" \n",
" Hospital_region_code | \n",
" object | \n",
"
\n",
" \n",
" Available Extra Rooms in Hospital | \n",
" int64 | \n",
"
\n",
" \n",
" Department | \n",
" object | \n",
"
\n",
" \n",
" Ward_Type | \n",
" object | \n",
"
\n",
" \n",
" Ward_Facility_Code | \n",
" object | \n",
"
\n",
" \n",
" Bed Grade | \n",
" float64 | \n",
"
\n",
" \n",
" patientid | \n",
" int64 | \n",
"
\n",
" \n",
" City_Code_Patient | \n",
" float64 | \n",
"
\n",
" \n",
" Type of Admission | \n",
" object | \n",
"
\n",
" \n",
" Severity of Illness | \n",
" object | \n",
"
\n",
" \n",
" Visitors with Patient | \n",
" int64 | \n",
"
\n",
" \n",
" Age | \n",
" object | \n",
"
\n",
" \n",
" Admission_Deposit | \n",
" float64 | \n",
"
\n",
" \n",
" Stay | \n",
" object | \n",
"
\n",
" \n",
" Count | \n",
" int64 | \n",
"
\n",
" \n",
" Hospital_type_code_cat | \n",
" int64 | \n",
"
\n",
" \n",
" MissingVal | \n",
" float64 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" 0\n",
"case_id int64\n",
"Hospital_code int64\n",
"Hospital_type_code object\n",
"City_Code_Hospital int64\n",
"Hospital_region_code object\n",
"Available Extra Rooms in Hospital int64\n",
"Department object\n",
"Ward_Type object\n",
"Ward_Facility_Code object\n",
"Bed Grade float64\n",
"patientid int64\n",
"City_Code_Patient float64\n",
"Type of Admission object\n",
"Severity of Illness object\n",
"Visitors with Patient int64\n",
"Age object\n",
"Admission_Deposit float64\n",
"Stay object\n",
"Count int64\n",
"Hospital_type_code_cat int64\n",
"MissingVal float64"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# identier les types des variables de chaque colonne\n",
"df_type = pd.DataFrame(df.dtypes)\n",
"df_type"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"case_id 0\n",
"Hospital_code 0\n",
"Hospital_type_code 0\n",
"City_Code_Hospital 0\n",
"Hospital_region_code 0\n",
"Available Extra Rooms in Hospital 0\n",
"Department 0\n",
"Ward_Type 0\n",
"Ward_Facility_Code 0\n",
"Bed Grade 113\n",
"patientid 0\n",
"City_Code_Patient 4532\n",
"Type of Admission 0\n",
"Severity of Illness 0\n",
"Visitors with Patient 0\n",
"Age 0\n",
"Admission_Deposit 0\n",
"Stay 0\n",
"Count 0\n",
"Hospital_type_code_cat 0\n",
"MissingVal 318438\n",
"Name: MissingVal, dtype: int64"
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# verifier autrement les données manquantes\n",
"df_type['MissingVal'] = df.isnull().sum()\n",
"df_type['MissingVal']"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Data | \n",
" MissingVal | \n",
"
\n",
" \n",
" \n",
" \n",
" case_id | \n",
" int64 | \n",
" 0 | \n",
"
\n",
" \n",
" Hospital_code | \n",
" int64 | \n",
" 0 | \n",
"
\n",
" \n",
" Hospital_type_code | \n",
" object | \n",
" 0 | \n",
"
\n",
" \n",
" City_Code_Hospital | \n",
" int64 | \n",
" 0 | \n",
"
\n",
" \n",
" Hospital_region_code | \n",
" object | \n",
" 0 | \n",
"
\n",
" \n",
" Available Extra Rooms in Hospital | \n",
" int64 | \n",
" 0 | \n",
"
\n",
" \n",
" Department | \n",
" object | \n",
" 0 | \n",
"
\n",
" \n",
" Ward_Type | \n",
" object | \n",
" 0 | \n",
"
\n",
" \n",
" Ward_Facility_Code | \n",
" object | \n",
" 0 | \n",
"
\n",
" \n",
" Bed Grade | \n",
" float64 | \n",
" 113 | \n",
"
\n",
" \n",
" patientid | \n",
" int64 | \n",
" 0 | \n",
"
\n",
" \n",
" City_Code_Patient | \n",
" float64 | \n",
" 4532 | \n",
"
\n",
" \n",
" Type of Admission | \n",
" object | \n",
" 0 | \n",
"
\n",
" \n",
" Severity of Illness | \n",
" object | \n",
" 0 | \n",
"
\n",
" \n",
" Visitors with Patient | \n",
" int64 | \n",
" 0 | \n",
"
\n",
" \n",
" Age | \n",
" object | \n",
" 0 | \n",
"
\n",
" \n",
" Admission_Deposit | \n",
" float64 | \n",
" 0 | \n",
"
\n",
" \n",
" Stay | \n",
" object | \n",
" 0 | \n",
"
\n",
" \n",
" Count | \n",
" int64 | \n",
" 0 | \n",
"
\n",
" \n",
" Hospital_type_code_cat | \n",
" int64 | \n",
" 0 | \n",
"
\n",
" \n",
" MissingVal | \n",
" float64 | \n",
" 318438 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Data MissingVal\n",
"case_id int64 0\n",
"Hospital_code int64 0\n",
"Hospital_type_code object 0\n",
"City_Code_Hospital int64 0\n",
"Hospital_region_code object 0\n",
"Available Extra Rooms in Hospital int64 0\n",
"Department object 0\n",
"Ward_Type object 0\n",
"Ward_Facility_Code object 0\n",
"Bed Grade float64 113\n",
"patientid int64 0\n",
"City_Code_Patient float64 4532\n",
"Type of Admission object 0\n",
"Severity of Illness object 0\n",
"Visitors with Patient int64 0\n",
"Age object 0\n",
"Admission_Deposit float64 0\n",
"Stay object 0\n",
"Count int64 0\n",
"Hospital_type_code_cat int64 0\n",
"MissingVal float64 318438"
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# rename the 0 column\n",
"df_type = df_type.rename(columns={0:'DataT'})\n",
"df_type"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"#afficher les N 1ere lignes\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"papermill": {
"duration": 0.061752,
"end_time": "2020-11-12T17:50:06.310673",
"exception": false,
"start_time": "2020-11-12T17:50:06.248921",
"status": "completed"
},
"tags": []
},
"source": [
"Comme on peut le voir, la plupart des colonnes ne comportent pas de valeurs manquantes associées. C'est un très bon signe que nous traitons des données prétraitées.\n",
"\n",
"# 2. Data Visualisations\n",
"\n",
"\n",
"## Hospital type code\n",
"Vérifions quel est le code des hôpitaux ayant la plus forte densité de patients."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"_kg_hide-input": true,
"execution": {
"iopub.execute_input": "2020-11-12T17:50:06.442943Z",
"iopub.status.busy": "2020-11-12T17:50:06.442190Z",
"iopub.status.idle": "2020-11-12T17:50:06.485283Z",
"shell.execute_reply": "2020-11-12T17:50:06.484610Z"
},
"papermill": {
"duration": 0.112246,
"end_time": "2020-11-12T17:50:06.485411",
"exception": false,
"start_time": "2020-11-12T17:50:06.373165",
"status": "completed"
},
"tags": []
},
"outputs": [],
"source": [
"df_hos_code=df.groupby('Hospital_type_code')['Count'].sum().reset_index().sort_values(by='Count',ascending=False)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"_kg_hide-input": true,
"execution": {
"iopub.execute_input": "2020-11-12T17:50:06.617415Z",
"iopub.status.busy": "2020-11-12T17:50:06.616605Z",
"iopub.status.idle": "2020-11-12T17:50:07.855647Z",
"shell.execute_reply": "2020-11-12T17:50:07.856304Z"
},
"papermill": {
"duration": 1.308992,
"end_time": "2020-11-12T17:50:07.856471",
"exception": false,
"start_time": "2020-11-12T17:50:06.547479",
"status": "completed"
},
"tags": []
},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"alignmentgroup": "True",
"hovertemplate": "Hospital Type Code=%{x}
Number of patients=%{marker.color}",
"legendgroup": "",
"marker": {
"color": [
143425,
68946,
45928,
24770,
20389,
10703,
4277
],
"coloraxis": "coloraxis"
},
"name": "",
"offsetgroup": "",
"orientation": "v",
"showlegend": false,
"textposition": "auto",
"type": "bar",
"x": [
"a",
"b",
"c",
"e",
"d",
"f",
"g"
],
"xaxis": "x",
"y": [
143425,
68946,
45928,
24770,
20389,
10703,
4277
],
"yaxis": "y"
}
],
"layout": {
"barmode": "relative",
"coloraxis": {
"colorbar": {
"title": {
"text": "Number of patients"
}
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"legend": {
"tracegroupgap": 0
},
"margin": {
"t": 60
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#f2f5fa"
},
"error_y": {
"color": "#f2f5fa"
},
"marker": {
"line": {
"color": "rgb(17,17,17)",
"width": 0.5
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "rgb(17,17,17)",
"width": 0.5
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#A2B1C6",
"gridcolor": "#506784",
"linecolor": "#506784",
"minorgridcolor": "#506784",
"startlinecolor": "#A2B1C6"
},
"baxis": {
"endlinecolor": "#A2B1C6",
"gridcolor": "#506784",
"linecolor": "#506784",
"minorgridcolor": "#506784",
"startlinecolor": "#A2B1C6"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"marker": {
"line": {
"color": "#283442"
}
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"line": {
"color": "#283442"
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#506784"
},
"line": {
"color": "rgb(17,17,17)"
}
},
"header": {
"fill": {
"color": "#2a3f5f"
},
"line": {
"color": "rgb(17,17,17)"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#f2f5fa",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#f2f5fa"
},
"geo": {
"bgcolor": "rgb(17,17,17)",
"lakecolor": "rgb(17,17,17)",
"landcolor": "rgb(17,17,17)",
"showlakes": true,
"showland": true,
"subunitcolor": "#506784"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "dark"
},
"paper_bgcolor": "rgb(17,17,17)",
"plot_bgcolor": "rgb(17,17,17)",
"polar": {
"angularaxis": {
"gridcolor": "#506784",
"linecolor": "#506784",
"ticks": ""
},
"bgcolor": "rgb(17,17,17)",
"radialaxis": {
"gridcolor": "#506784",
"linecolor": "#506784",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "rgb(17,17,17)",
"gridcolor": "#506784",
"gridwidth": 2,
"linecolor": "#506784",
"showbackground": true,
"ticks": "",
"zerolinecolor": "#C8D4E3"
},
"yaxis": {
"backgroundcolor": "rgb(17,17,17)",
"gridcolor": "#506784",
"gridwidth": 2,
"linecolor": "#506784",
"showbackground": true,
"ticks": "",
"zerolinecolor": "#C8D4E3"
},
"zaxis": {
"backgroundcolor": "rgb(17,17,17)",
"gridcolor": "#506784",
"gridwidth": 2,
"linecolor": "#506784",
"showbackground": true,
"ticks": "",
"zerolinecolor": "#C8D4E3"
}
},
"shapedefaults": {
"line": {
"color": "#f2f5fa"
}
},
"sliderdefaults": {
"bgcolor": "#C8D4E3",
"bordercolor": "rgb(17,17,17)",
"borderwidth": 1,
"tickwidth": 0
},
"ternary": {
"aaxis": {
"gridcolor": "#506784",
"linecolor": "#506784",
"ticks": ""
},
"baxis": {
"gridcolor": "#506784",
"linecolor": "#506784",
"ticks": ""
},
"bgcolor": "rgb(17,17,17)",
"caxis": {
"gridcolor": "#506784",
"linecolor": "#506784",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"updatemenudefaults": {
"bgcolor": "#506784",
"borderwidth": 0
},
"xaxis": {
"automargin": true,
"gridcolor": "#283442",
"linecolor": "#506784",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "#283442",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "#283442",
"linecolor": "#506784",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "#283442",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Patient distribution per hospital type code",
"x": 0.5
},
"xaxis": {
"anchor": "y",
"domain": [
0,
1
],
"title": {
"text": "Hospital Type Code"
}
},
"yaxis": {
"anchor": "x",
"domain": [
0,
1
],
"title": {
"text": "Number of patients"
}
}
}
},
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig1=px.bar(df_hos_code,x='Hospital_type_code',y='Count',color='Count',labels={'Hospital_type_code':'Hospital Type Code','Count':'Number of patients'})\n",
"fig1.update_layout(title='Patient distribution per hospital type code',title_x=0.5,template='plotly_dark')\n",
"fig1.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"papermill": {
"duration": 0.071263,
"end_time": "2020-11-12T17:50:07.998817",
"exception": false,
"start_time": "2020-11-12T17:50:07.927554",
"status": "completed"
},
"tags": []
},
"source": [
"Comme on peut le voir, l'hôpital de type **A** a une charge de travail beaucoup plus élevée par rapport aux autres codes d'hôpitaux. L'hôpital de type **G** a la charge de travail la plus faible. Par conséquent, l'hôpital de type A a une probabilité beaucoup plus élevée d'être à court de lits de patients alors que le type G en a le moins. La distribution idéale aurait été une distribution uniforme où les lits sous-utilisés des autres codes de type d'hôpital auraient pu être utilisés de la même manière.\n",
"\n",
"\n",
"## Hospital region code\n",
"\n",
"Le code régional diviserait probablement tous les hôpitaux disponibles en trois régions codées X, Y et Z. Cela nous permettrait de savoir à nouveau quel type d'hôpital appartient à quelle région et les charges de travail correspondantes."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"_kg_hide-input": true,
"execution": {
"iopub.execute_input": "2020-11-12T17:50:08.149944Z",
"iopub.status.busy": "2020-11-12T17:50:08.149103Z",
"iopub.status.idle": "2020-11-12T17:50:14.844750Z",
"shell.execute_reply": "2020-11-12T17:50:14.844096Z"
},
"papermill": {
"duration": 6.774395,
"end_time": "2020-11-12T17:50:14.844900",
"exception": false,
"start_time": "2020-11-12T17:50:08.070505",
"status": "completed"
},
"tags": []
},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"branchvalues": "total",
"domain": {
"x": [
0,
1
],
"y": [
0,
1
]
},
"hovertemplate": "labels=%{label}
count=%{value}
parent=%{parent}
id=%{id}",
"ids": [
"X/a",
"Y/a",
"Z/a",
"X/b",
"Y/b",
"Z/c",
"Y/d",
"Z/d",
"X/e",
"Y/f",
"Y/g",
"X",
"Y",
"Z"
],
"labels": [
"a",
"a",
"a",
"b",
"b",
"c",
"d",
"d",
"e",
"f",
"g",
"X",
"Y",
"Z"
],
"name": "",
"parents": [
"X",
"Y",
"Z",
"X",
"Y",
"Z",
"Y",
"Z",
"X",
"Y",
"Y",
"",
"",
""
],
"type": "sunburst",
"values": [
91429,
46760,
5236,
17137,
51809,
45928,
8879,
11510,
24770,
10703,
4277,
133336,
122428,
62674
]
}
],
"layout": {
"legend": {
"tracegroupgap": 0
},
"margin": {
"t": 60
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Hospital region case load distribution",
"x": 0.5
}
}
},
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig2=px.sunburst(df,path=['Hospital_region_code','Hospital_type_code'])\n",
"fig2.update_layout(title='Hospital region case load distribution',title_x=0.5)\n",
"fig2.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"papermill": {
"duration": 0.078491,
"end_time": "2020-11-12T17:50:15.002099",
"exception": false,
"start_time": "2020-11-12T17:50:14.923608",
"status": "completed"
},
"tags": []
},
"source": [
"Comme on peut le voir sur le graphique ci-dessus, la charge de travail dans la région hospitalière **X** est légèrement supérieure à celle de la région hospitalière **Y** et la plus faible dans la région **Z** . Pour la région X, le type d'hôpital A a la charge de travail la plus élevée, tandis qu'elle est plus équilibrée entre a et b dans la région Y. Pour la région Z, les charges de travail les plus élevées ont été enregistrées dans le type d'hôpital C. Les hôpitaux de la région X semblent mieux répartis entre tous les types d'hôpitaux.\n",
"\n",
"Pour la région Y, la répartition entre A et B est idéale, mais f, d et g ont été sous-utilisés. Pour la région Z, les cas de l'hôpital c étaient facilement les plus élevés, mais a et d sont extrêmement sous-utilisés.\n",
"\n",
"## Chambres supplémentaires disponibles à l'hôpital\n",
"\n",
"C'est un indicateur important de la manière dont l'hôpital gère la charge de travail. Voyons comment les chambres supplémentaires sont réparties entre les différents hôpitaux."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"_kg_hide-input": true,
"execution": {
"iopub.execute_input": "2020-11-12T17:50:15.169014Z",
"iopub.status.busy": "2020-11-12T17:50:15.168174Z",
"iopub.status.idle": "2020-11-12T17:50:20.152472Z",
"shell.execute_reply": "2020-11-12T17:50:20.153375Z"
},
"papermill": {
"duration": 5.071914,
"end_time": "2020-11-12T17:50:20.153559",
"exception": false,
"start_time": "2020-11-12T17:50:15.081645",
"status": "completed"
},
"tags": []
},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"alignmentgroup": "True",
"bingroup": "x",
"hovertemplate": "Available Extra Rooms in Hospital=%{x}
count=%{y}",
"legendgroup": "",
"marker": {
"color": "orange",
"opacity": 0.7
},
"name": "",
"offsetgroup": "",
"orientation": "v",
"showlegend": false,
"type": "histogram",
"x": [
3,
2,
2,
2,
2,
2,
1,
4,
2,
2,
2,
4,
2,
3,
4,
3,
4,
4,
4,
4,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
3,
3,
3,
2,
2,
2,
1,
2,
4,
6,
2,
3,
2,
2,
2,
2,
2,
4,
5,
2,
2,
2,
4,
4,
4,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
7,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
4,
3,
3,
3,
3,
4,
4,
3,
6,
4,
5,
4,
4,
3,
4,
3,
6,
4,
3,
3,
6,
4,
4,
5,
2,
2,
4,
8,
4,
2,
6,
4,
4,
4,
4,
4,
3,
2,
7,
5,
5,
4,
3,
3,
3,
3,
3,
3,
4,
1,
3,
6,
2,
3,
1,
1,
5,
5,
4,
3,
3,
4,
3,
4,
3,
3,
4,
4,
3,
3,
3,
4,
2,
3,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
2,
4,
7,
3,
2,
2,
2,
3,
2,
2,
3,
7,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
5,
3,
4,
3,
3,
3,
3,
4,
4,
4,
5,
4,
5,
3,
4,
2,
4,
4,
3,
4,
2,
4,
4,
4,
4,
2,
2,
4,
4,
2,
2,
2,
4,
4,
3,
4,
4,
5,
5,
3,
2,
2,
2,
4,
4,
3,
4,
4,
2,
2,
4,
3,
2,
6,
4,
2,
2,
2,
2,
4,
2,
4,
4,
3,
5,
4,
4,
3,
3,
2,
3,
5,
4,
2,
2,
2,
2,
2,
4,
4,
2,
3,
4,
5,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
4,
5,
3,
4,
4,
2,
2,
4,
2,
1,
2,
3,
3,
9,
4,
3,
3,
3,
4,
2,
4,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
2,
3,
2,
2,
2,
3,
2,
2,
2,
2,
3,
4,
3,
4,
4,
4,
4,
4,
1,
4,
4,
6,
4,
4,
4,
7,
6,
4,
4,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
1,
3,
5,
4,
4,
4,
2,
3,
4,
2,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
8,
7,
7,
5,
3,
5,
5,
7,
6,
7,
5,
4,
2,
2,
2,
2,
3,
3,
3,
4,
2,
1,
2,
4,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
3,
3,
3,
4,
5,
2,
3,
3,
4,
3,
3,
4,
6,
3,
3,
4,
2,
3,
3,
7,
2,
4,
2,
4,
4,
3,
4,
4,
4,
3,
3,
6,
4,
4,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
5,
2,
3,
6,
4,
5,
5,
3,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
5,
2,
2,
3,
3,
4,
2,
2,
2,
2,
4,
2,
4,
3,
2,
4,
4,
4,
2,
2,
2,
3,
7,
2,
3,
2,
4,
4,
4,
3,
2,
3,
3,
2,
4,
3,
2,
2,
2,
4,
2,
3,
2,
2,
3,
4,
3,
4,
4,
4,
3,
3,
2,
4,
4,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
3,
2,
2,
3,
5,
4,
4,
8,
3,
2,
3,
3,
3,
2,
2,
2,
5,
2,
2,
3,
2,
3,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
5,
4,
4,
3,
3,
3,
2,
4,
2,
7,
7,
4,
5,
2,
2,
2,
4,
4,
2,
4,
2,
4,
4,
3,
2,
3,
3,
3,
3,
6,
2,
3,
4,
4,
4,
6,
3,
4,
3,
2,
1,
4,
2,
4,
4,
4,
1,
3,
1,
3,
4,
3,
3,
3,
3,
5,
2,
5,
5,
5,
4,
4,
3,
3,
4,
3,
4,
3,
4,
4,
4,
4,
3,
2,
4,
3,
4,
4,
5,
6,
7,
4,
4,
2,
2,
4,
3,
4,
4,
6,
6,
4,
6,
2,
4,
2,
2,
3,
2,
2,
2,
3,
4,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
4,
4,
4,
6,
4,
4,
3,
2,
3,
3,
1,
2,
2,
2,
2,
2,
2,
2,
5,
3,
2,
4,
2,
6,
3,
4,
4,
3,
4,
3,
4,
2,
3,
2,
3,
3,
3,
5,
5,
3,
3,
3,
2,
2,
5,
2,
2,
2,
2,
5,
2,
3,
2,
7,
2,
3,
3,
3,
3,
2,
3,
3,
2,
3,
5,
2,
2,
2,
4,
2,
2,
2,
2,
2,
5,
2,
5,
3,
3,
2,
4,
4,
2,
2,
3,
3,
3,
4,
5,
4,
3,
1,
2,
2,
4,
3,
7,
6,
2,
2,
6,
3,
2,
3,
2,
4,
4,
3,
4,
2,
4,
3,
4,
6,
2,
3,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
4,
2,
6,
3,
3,
3,
3,
3,
3,
3,
3,
4,
5,
4,
4,
2,
4,
4,
2,
2,
2,
3,
5,
4,
2,
2,
4,
4,
3,
3,
2,
3,
2,
3,
4,
3,
3,
2,
3,
3,
4,
2,
3,
2,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
7,
3,
4,
2,
3,
3,
3,
5,
3,
2,
2,
2,
2,
3,
4,
4,
2,
4,
2,
3,
3,
3,
3,
3,
2,
4,
5,
2,
2,
4,
4,
4,
4,
3,
2,
3,
3,
2,
3,
7,
4,
5,
4,
3,
4,
5,
2,
3,
2,
3,
3,
3,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
5,
10,
4,
2,
3,
3,
3,
4,
3,
3,
3,
4,
6,
4,
2,
2,
3,
4,
4,
3,
2,
2,
2,
4,
2,
4,
4,
7,
4,
5,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
2,
3,
3,
3,
4,
2,
3,
2,
2,
4,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
4,
6,
3,
2,
3,
5,
3,
3,
3,
3,
4,
4,
5,
4,
4,
4,
2,
2,
4,
2,
5,
5,
3,
3,
3,
4,
4,
2,
4,
4,
5,
4,
4,
4,
3,
4,
3,
5,
2,
5,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
5,
5,
4,
2,
3,
5,
5,
3,
3,
2,
3,
3,
2,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
5,
4,
4,
4,
3,
2,
5,
2,
5,
7,
4,
5,
4,
1,
2,
3,
3,
3,
3,
4,
3,
4,
3,
5,
4,
3,
4,
5,
3,
4,
4,
4,
2,
2,
3,
2,
5,
4,
5,
2,
2,
6,
3,
3,
4,
6,
2,
5,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
3,
4,
2,
2,
4,
4,
4,
2,
2,
3,
4,
3,
2,
4,
2,
2,
3,
5,
5,
5,
5,
3,
4,
4,
4,
4,
3,
3,
4,
2,
3,
3,
4,
2,
5,
3,
3,
2,
2,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
3,
2,
2,
2,
4,
2,
2,
5,
4,
3,
3,
2,
2,
3,
3,
2,
3,
3,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
4,
3,
2,
3,
3,
2,
2,
5,
3,
3,
3,
3,
4,
3,
3,
2,
2,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
4,
3,
3,
2,
2,
3,
2,
2,
2,
1,
3,
1,
5,
3,
3,
3,
6,
3,
3,
3,
2,
2,
2,
3,
4,
3,
4,
3,
2,
3,
6,
6,
4,
4,
4,
3,
4,
4,
2,
2,
2,
2,
2,
3,
4,
4,
3,
4,
2,
4,
4,
3,
3,
2,
3,
5,
4,
4,
4,
3,
2,
3,
4,
4,
3,
3,
4,
4,
5,
3,
2,
1,
3,
2,
3,
2,
3,
2,
4,
2,
5,
3,
2,
4,
2,
2,
4,
2,
4,
4,
2,
3,
4,
3,
4,
4,
4,
4,
6,
4,
4,
4,
4,
2,
2,
2,
7,
1,
4,
4,
5,
3,
3,
2,
1,
1,
1,
3,
3,
1,
1,
4,
3,
3,
5,
2,
2,
3,
2,
4,
4,
4,
4,
2,
4,
4,
5,
3,
4,
3,
3,
2,
2,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
6,
4,
4,
2,
3,
3,
2,
5,
1,
7,
2,
3,
3,
5,
4,
4,
4,
4,
3,
4,
4,
2,
3,
4,
4,
4,
4,
4,
1,
3,
2,
3,
3,
1,
2,
3,
3,
3,
2,
2,
1,
5,
4,
2,
2,
4,
1,
2,
2,
2,
1,
2,
3,
2,
4,
4,
4,
3,
4,
3,
3,
3,
2,
2,
4,
4,
4,
3,
2,
2,
2,
2,
6,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
5,
4,
4,
2,
2,
2,
2,
4,
4,
2,
2,
6,
3,
4,
3,
3,
2,
2,
4,
2,
3,
4,
3,
3,
1,
4,
1,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
3,
3,
4,
4,
4,
4,
3,
3,
4,
3,
4,
1,
3,
4,
2,
3,
4,
3,
5,
2,
3,
3,
6,
4,
6,
3,
7,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
3,
2,
2,
3,
4,
4,
2,
4,
3,
3,
4,
4,
4,
4,
2,
5,
2,
2,
2,
2,
2,
4,
4,
4,
2,
4,
3,
3,
3,
2,
2,
3,
2,
2,
2,
3,
3,
3,
2,
4,
3,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
6,
4,
3,
4,
3,
3,
3,
4,
3,
2,
3,
3,
5,
2,
3,
2,
4,
5,
2,
3,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
4,
2,
5,
4,
4,
2,
3,
3,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
8,
4,
3,
4,
3,
3,
2,
3,
3,
2,
4,
2,
2,
5,
5,
3,
3,
4,
3,
4,
4,
1,
3,
3,
4,
4,
4,
2,
2,
2,
2,
4,
3,
4,
5,
3,
3,
4,
4,
2,
5,
3,
2,
6,
3,
4,
4,
3,
3,
3,
3,
3,
2,
4,
2,
3,
3,
2,
4,
4,
4,
3,
4,
4,
4,
2,
2,
2,
4,
2,
4,
2,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
9,
3,
3,
3,
4,
5,
4,
4,
4,
2,
3,
3,
2,
4,
4,
4,
4,
2,
3,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
5,
5,
2,
2,
4,
3,
2,
3,
4,
2,
2,
2,
5,
3,
3,
5,
2,
6,
4,
5,
5,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
3,
2,
3,
4,
4,
3,
6,
2,
4,
2,
5,
6,
3,
2,
2,
2,
5,
3,
3,
2,
4,
3,
3,
5,
3,
2,
4,
7,
6,
4,
5,
4,
4,
4,
2,
2,
2,
3,
3,
2,
2,
3,
1,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
2,
2,
4,
2,
4,
2,
4,
2,
3,
2,
2,
2,
2,
2,
2,
5,
2,
3,
2,
5,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
3,
2,
3,
2,
4,
3,
4,
2,
4,
3,
5,
3,
4,
5,
4,
2,
3,
4,
2,
2,
3,
2,
3,
2,
4,
4,
4,
2,
5,
4,
5,
4,
2,
2,
2,
3,
3,
4,
2,
3,
5,
2,
3,
5,
3,
2,
3,
3,
3,
3,
1,
2,
4,
2,
2,
2,
3,
1,
2,
2,
2,
4,
4,
2,
5,
4,
4,
2,
2,
4,
3,
2,
2,
2,
3,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
5,
3,
2,
2,
2,
2,
4,
5,
3,
3,
4,
2,
7,
4,
4,
3,
3,
4,
4,
2,
2,
2,
2,
3,
3,
1,
6,
2,
3,
6,
3,
4,
3,
3,
2,
5,
3,
4,
4,
2,
2,
4,
4,
2,
4,
4,
4,
4,
3,
4,
2,
4,
1,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
6,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
3,
2,
4,
3,
2,
4,
3,
6,
2,
3,
6,
3,
2,
6,
4,
3,
3,
3,
4,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
6,
2,
3,
2,
3,
4,
3,
1,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
4,
4,
3,
4,
2,
4,
4,
4,
4,
3,
2,
6,
3,
3,
2,
4,
4,
6,
4,
4,
2,
2,
3,
2,
2,
3,
3,
5,
3,
3,
4,
4,
2,
2,
3,
4,
4,
2,
3,
3,
2,
2,
2,
3,
3,
4,
4,
5,
1,
3,
4,
2,
6,
4,
4,
4,
5,
4,
2,
2,
1,
2,
2,
2,
2,
2,
2,
2,
2,
4,
5,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
7,
4,
3,
4,
7,
4,
7,
4,
4,
2,
5,
5,
5,
2,
3,
2,
2,
2,
4,
2,
2,
2,
4,
4,
2,
2,
3,
3,
2,
4,
2,
2,
3,
3,
7,
7,
2,
2,
2,
2,
2,
2,
2,
4,
2,
5,
3,
3,
3,
4,
7,
2,
2,
3,
3,
2,
3,
3,
2,
3,
4,
2,
2,
3,
3,
4,
4,
6,
2,
2,
2,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
3,
2,
2,
1,
4,
2,
4,
4,
3,
2,
3,
5,
2,
3,
3,
3,
3,
2,
3,
3,
2,
1,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
3,
3,
4,
2,
2,
2,
4,
4,
4,
2,
2,
2,
4,
4,
3,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
4,
4,
4,
4,
2,
4,
4,
3,
2,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
2,
4,
2,
5,
7,
3,
4,
6,
3,
4,
6,
2,
2,
4,
5,
2,
2,
2,
4,
4,
4,
4,
5,
4,
3,
3,
4,
2,
2,
3,
2,
4,
1,
2,
2,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
3,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
6,
3,
4,
2,
2,
2,
3,
2,
1,
4,
1,
2,
3,
3,
4,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
4,
3,
3,
3,
4,
2,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
1,
2,
2,
2,
4,
5,
9,
5,
3,
2,
2,
2,
2,
4,
2,
4,
3,
3,
4,
3,
4,
2,
4,
7,
2,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
3,
2,
3,
2,
2,
2,
3,
3,
2,
3,
2,
4,
3,
2,
2,
1,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
3,
3,
4,
6,
4,
3,
2,
6,
6,
2,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
1,
4,
1,
2,
3,
4,
3,
1,
2,
2,
2,
3,
2,
2,
5,
3,
2,
3,
3,
3,
2,
3,
2,
5,
3,
3,
3,
4,
4,
6,
2,
2,
8,
4,
4,
4,
3,
3,
4,
3,
2,
3,
4,
1,
1,
4,
6,
6,
2,
2,
6,
4,
1,
4,
5,
5,
3,
2,
2,
2,
2,
2,
4,
4,
2,
2,
6,
6,
2,
3,
2,
5,
3,
5,
1,
5,
4,
2,
3,
3,
3,
1,
4,
3,
3,
3,
3,
4,
2,
3,
5,
2,
2,
4,
4,
3,
3,
2,
2,
3,
3,
2,
4,
4,
4,
3,
4,
4,
2,
2,
3,
4,
2,
4,
2,
2,
4,
2,
2,
3,
4,
3,
4,
3,
3,
3,
4,
2,
2,
3,
4,
3,
5,
3,
2,
3,
3,
5,
4,
3,
2,
4,
2,
2,
2,
3,
5,
5,
2,
4,
2,
3,
4,
5,
2,
2,
2,
2,
2,
3,
3,
4,
3,
2,
2,
2,
4,
5,
5,
5,
5,
3,
6,
2,
5,
4,
2,
4,
4,
4,
4,
4,
3,
4,
3,
2,
3,
5,
3,
3,
5,
2,
2,
2,
4,
2,
2,
4,
2,
4,
4,
4,
4,
7,
3,
4,
3,
3,
3,
3,
2,
5,
5,
4,
2,
2,
3,
1,
2,
2,
5,
4,
3,
2,
3,
2,
3,
3,
4,
4,
6,
3,
2,
2,
2,
2,
4,
5,
3,
4,
4,
4,
2,
2,
1,
2,
4,
4,
4,
4,
2,
2,
2,
3,
2,
2,
2,
8,
2,
2,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
2,
3,
4,
5,
5,
5,
3,
4,
4,
4,
4,
3,
2,
2,
5,
2,
2,
4,
6,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
7,
3,
3,
3,
4,
3,
2,
3,
2,
3,
3,
3,
2,
4,
3,
2,
2,
1,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
4,
3,
3,
2,
2,
1,
1,
3,
4,
3,
2,
3,
2,
3,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
4,
2,
4,
4,
3,
4,
4,
3,
2,
4,
2,
8,
4,
4,
4,
4,
3,
3,
2,
3,
4,
2,
2,
4,
5,
5,
4,
4,
3,
4,
4,
4,
3,
2,
4,
5,
3,
3,
3,
4,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
2,
2,
3,
3,
6,
3,
10,
5,
6,
4,
8,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
5,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
1,
3,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
3,
2,
2,
4,
6,
4,
4,
4,
4,
3,
9,
4,
3,
3,
3,
3,
6,
3,
4,
4,
4,
3,
4,
4,
3,
2,
2,
2,
3,
3,
2,
2,
4,
5,
2,
4,
3,
3,
2,
3,
4,
3,
3,
3,
3,
8,
5,
4,
4,
4,
4,
2,
2,
2,
3,
3,
4,
4,
4,
2,
3,
2,
2,
2,
2,
4,
3,
4,
2,
2,
3,
3,
2,
4,
2,
2,
4,
2,
4,
4,
3,
3,
2,
3,
5,
4,
3,
2,
4,
4,
2,
4,
4,
4,
2,
2,
2,
4,
2,
4,
4,
3,
3,
3,
2,
4,
4,
4,
3,
5,
2,
4,
4,
2,
4,
4,
4,
2,
3,
3,
2,
6,
3,
4,
5,
5,
5,
5,
4,
4,
3,
3,
3,
3,
3,
1,
2,
2,
4,
3,
3,
2,
2,
3,
4,
2,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
5,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
5,
3,
2,
2,
4,
2,
4,
5,
2,
2,
2,
4,
2,
4,
4,
5,
4,
2,
2,
2,
1,
4,
4,
4,
4,
4,
5,
3,
4,
4,
4,
4,
4,
4,
5,
5,
7,
4,
5,
3,
5,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
3,
2,
3,
4,
1,
4,
3,
4,
5,
2,
5,
4,
3,
6,
3,
4,
3,
6,
2,
3,
4,
5,
2,
3,
4,
4,
3,
4,
3,
5,
2,
4,
4,
2,
3,
2,
4,
4,
2,
4,
3,
2,
2,
4,
3,
2,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
7,
5,
4,
6,
2,
2,
4,
2,
2,
2,
2,
4,
4,
3,
2,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
4,
3,
2,
2,
4,
4,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
3,
5,
5,
4,
4,
2,
2,
3,
5,
6,
3,
3,
4,
5,
3,
5,
4,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
4,
3,
4,
6,
4,
3,
5,
4,
5,
2,
4,
4,
3,
3,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
2,
2,
3,
2,
2,
2,
2,
3,
2,
4,
4,
5,
4,
4,
4,
4,
2,
2,
2,
5,
4,
4,
4,
4,
4,
3,
3,
2,
3,
2,
3,
4,
3,
3,
3,
2,
4,
4,
2,
4,
4,
3,
3,
4,
3,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
3,
5,
3,
2,
3,
2,
3,
5,
3,
2,
5,
4,
3,
2,
2,
5,
2,
5,
3,
6,
5,
2,
4,
4,
4,
2,
4,
2,
3,
4,
5,
3,
2,
2,
4,
3,
4,
4,
3,
4,
6,
4,
4,
2,
3,
2,
2,
3,
4,
3,
4,
3,
6,
4,
4,
4,
4,
4,
2,
2,
3,
3,
2,
2,
3,
2,
5,
5,
6,
4,
4,
2,
2,
1,
4,
4,
4,
4,
2,
4,
5,
3,
3,
2,
2,
1,
3,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
3,
2,
4,
2,
4,
4,
4,
4,
2,
4,
4,
4,
3,
4,
4,
3,
3,
3,
2,
4,
2,
2,
1,
4,
4,
2,
2,
2,
4,
4,
4,
7,
4,
9,
7,
4,
4,
3,
3,
2,
2,
2,
3,
3,
6,
3,
5,
5,
4,
3,
2,
4,
4,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
3,
5,
2,
2,
3,
2,
3,
6,
5,
4,
5,
2,
6,
3,
2,
2,
2,
3,
3,
5,
3,
3,
4,
4,
3,
2,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
2,
2,
3,
2,
5,
2,
3,
3,
2,
4,
4,
3,
3,
3,
3,
3,
6,
2,
4,
3,
1,
2,
7,
2,
2,
3,
5,
2,
2,
2,
2,
2,
2,
4,
2,
1,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
3,
3,
2,
5,
5,
4,
4,
2,
4,
4,
4,
4,
4,
5,
3,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
1,
4,
2,
2,
2,
4,
4,
4,
2,
4,
3,
2,
2,
3,
2,
6,
2,
2,
3,
3,
2,
2,
3,
2,
2,
2,
4,
2,
2,
4,
2,
4,
4,
4,
3,
3,
4,
4,
2,
4,
2,
4,
3,
4,
4,
3,
4,
4,
4,
2,
4,
5,
2,
3,
2,
2,
4,
1,
1,
1,
2,
4,
2,
4,
2,
4,
2,
3,
4,
3,
3,
5,
4,
4,
3,
3,
3,
3,
3,
2,
3,
3,
5,
2,
2,
2,
2,
3,
3,
2,
4,
3,
2,
2,
2,
3,
5,
3,
4,
4,
4,
4,
2,
2,
2,
4,
2,
3,
2,
3,
5,
4,
2,
2,
4,
2,
4,
4,
4,
3,
2,
2,
2,
2,
3,
3,
4,
4,
4,
5,
4,
4,
2,
6,
3,
3,
3,
4,
3,
4,
4,
2,
3,
3,
2,
2,
3,
4,
3,
1,
4,
4,
4,
3,
4,
4,
6,
2,
4,
4,
3,
3,
3,
3,
1,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
1,
2,
2,
5,
2,
2,
2,
2,
3,
4,
3,
3,
6,
3,
2,
3,
3,
3,
3,
3,
6,
4,
4,
4,
3,
4,
4,
2,
2,
4,
3,
4,
3,
4,
4,
4,
3,
4,
4,
4,
2,
1,
3,
3,
2,
1,
4,
3,
2,
3,
3,
3,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
5,
4,
4,
2,
3,
2,
3,
3,
4,
2,
2,
4,
2,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
5,
4,
2,
2,
2,
2,
3,
4,
4,
4,
6,
2,
4,
4,
5,
2,
7,
4,
4,
4,
5,
2,
3,
2,
2,
5,
5,
2,
3,
4,
2,
2,
3,
4,
2,
5,
4,
4,
4,
2,
3,
3,
7,
5,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
3,
4,
4,
4,
2,
2,
4,
4,
4,
2,
3,
3,
2,
3,
2,
4,
4,
4,
4,
3,
4,
4,
4,
5,
4,
4,
1,
4,
3,
3,
4,
1,
4,
4,
4,
6,
3,
3,
4,
3,
3,
4,
3,
4,
3,
3,
3,
1,
2,
2,
8,
4,
3,
2,
2,
2,
2,
3,
2,
5,
3,
3,
2,
4,
4,
2,
3,
2,
3,
6,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
3,
4,
4,
3,
5,
4,
4,
4,
2,
4,
2,
2,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
2,
3,
4,
5,
5,
4,
3,
2,
4,
2,
4,
2,
2,
3,
4,
2,
2,
4,
2,
2,
2,
2,
4,
2,
3,
2,
2,
4,
4,
3,
4,
4,
4,
2,
3,
2,
3,
3,
3,
2,
2,
4,
2,
3,
2,
4,
4,
4,
4,
2,
3,
5,
3,
3,
5,
6,
3,
4,
3,
3,
3,
4,
4,
4,
4,
4,
3,
6,
7,
2,
4,
4,
4,
4,
4,
4,
2,
4,
5,
4,
4,
3,
2,
2,
2,
3,
2,
3,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
3,
4,
4,
3,
2,
4,
3,
3,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
4,
4,
5,
3,
4,
2,
4,
2,
2,
4,
4,
4,
4,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
4,
4,
3,
4,
2,
4,
2,
2,
1,
2,
3,
3,
4,
2,
4,
6,
4,
4,
4,
3,
3,
3,
3,
4,
4,
3,
5,
5,
4,
5,
4,
2,
4,
4,
4,
4,
4,
2,
3,
3,
2,
4,
3,
2,
4,
6,
4,
4,
3,
3,
2,
4,
4,
5,
3,
2,
4,
4,
2,
2,
2,
4,
2,
2,
4,
3,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
5,
3,
3,
2,
4,
2,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
1,
1,
2,
3,
3,
2,
4,
3,
6,
4,
4,
3,
3,
2,
2,
2,
4,
2,
4,
2,
1,
2,
6,
3,
2,
2,
1,
1,
3,
1,
1,
1,
3,
2,
2,
5,
4,
5,
2,
3,
3,
4,
4,
4,
4,
2,
1,
4,
4,
2,
4,
2,
4,
2,
4,
2,
1,
4,
2,
2,
2,
3,
3,
3,
6,
4,
2,
3,
3,
3,
1,
4,
2,
2,
2,
3,
3,
3,
3,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
2,
3,
3,
2,
2,
4,
4,
4,
2,
3,
4,
4,
4,
2,
2,
4,
5,
3,
4,
2,
4,
5,
5,
4,
4,
4,
4,
4,
2,
2,
4,
4,
2,
4,
4,
4,
4,
3,
3,
3,
3,
2,
4,
4,
2,
4,
3,
3,
3,
2,
5,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
4,
6,
1,
4,
4,
4,
6,
4,
4,
4,
4,
2,
6,
6,
4,
4,
4,
2,
4,
4,
4,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
5,
3,
3,
3,
4,
3,
3,
4,
4,
3,
8,
2,
3,
4,
4,
4,
3,
2,
4,
2,
2,
2,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
3,
3,
4,
3,
2,
3,
2,
1,
2,
3,
2,
2,
2,
3,
3,
2,
4,
3,
3,
4,
2,
5,
3,
4,
4,
4,
4,
2,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
4,
2,
4,
4,
3,
2,
5,
3,
3,
3,
3,
3,
2,
3,
2,
3,
2,
3,
3,
3,
4,
5,
3,
4,
4,
4,
2,
4,
4,
2,
4,
2,
3,
3,
8,
3,
2,
1,
1,
1,
2,
3,
2,
1,
5,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
3,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
6,
2,
2,
3,
2,
3,
3,
2,
3,
4,
3,
3,
4,
3,
4,
4,
3,
5,
4,
4,
5,
3,
2,
3,
5,
6,
1,
2,
3,
3,
3,
3,
5,
5,
9,
4,
8,
6,
7,
5,
7,
2,
2,
1,
2,
2,
2,
2,
4,
2,
3,
2,
4,
3,
3,
3,
3,
3,
4,
2,
4,
2,
4,
2,
2,
7,
3,
4,
2,
3,
2,
4,
7,
3,
3,
1,
2,
2,
2,
4,
2,
2,
2,
5,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
4,
4,
1,
3,
2,
3,
4,
2,
2,
2,
2,
4,
2,
4,
3,
4,
4,
2,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
6,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
5,
3,
4,
5,
2,
4,
5,
3,
2,
2,
3,
1,
1,
4,
4,
4,
2,
3,
2,
3,
3,
3,
2,
3,
2,
4,
3,
2,
5,
3,
4,
2,
4,
2,
2,
2,
2,
2,
3,
2,
3,
5,
5,
3,
3,
3,
3,
4,
2,
2,
3,
4,
2,
2,
3,
3,
4,
4,
4,
2,
2,
2,
2,
4,
3,
2,
2,
2,
3,
2,
3,
2,
2,
3,
9,
5,
5,
2,
5,
5,
4,
2,
5,
3,
3,
3,
4,
3,
3,
2,
3,
4,
2,
4,
4,
2,
2,
4,
4,
2,
3,
3,
3,
2,
4,
4,
4,
5,
5,
4,
4,
4,
4,
5,
5,
4,
2,
2,
2,
2,
3,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
4,
2,
3,
4,
5,
3,
4,
3,
5,
3,
7,
3,
3,
2,
3,
2,
2,
4,
3,
8,
7,
2,
2,
4,
2,
2,
3,
2,
4,
2,
4,
3,
4,
4,
4,
4,
4,
3,
4,
3,
3,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
4,
3,
4,
2,
2,
3,
2,
3,
5,
4,
2,
3,
2,
2,
2,
2,
3,
2,
2,
1,
2,
2,
2,
2,
7,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
1,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
4,
2,
2,
4,
4,
4,
4,
2,
2,
3,
2,
2,
2,
3,
2,
4,
4,
3,
2,
3,
3,
3,
4,
5,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
4,
3,
2,
4,
3,
4,
3,
4,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
2,
4,
5,
2,
2,
2,
4,
3,
3,
3,
3,
4,
2,
2,
7,
2,
2,
6,
5,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
5,
2,
2,
5,
2,
2,
2,
5,
3,
5,
2,
2,
2,
2,
2,
2,
1,
1,
2,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
3,
4,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
2,
1,
1,
2,
5,
5,
2,
4,
4,
4,
2,
3,
5,
3,
3,
5,
4,
4,
2,
2,
3,
2,
2,
3,
4,
4,
4,
2,
2,
2,
5,
2,
3,
2,
5,
4,
5,
4,
4,
2,
4,
4,
4,
2,
3,
2,
2,
1,
2,
2,
4,
2,
2,
4,
5,
4,
7,
3,
3,
2,
2,
2,
6,
2,
4,
2,
2,
4,
2,
4,
3,
3,
2,
2,
2,
2,
4,
3,
3,
4,
3,
3,
4,
3,
3,
4,
3,
4,
3,
7,
2,
2,
3,
3,
4,
3,
4,
2,
4,
2,
3,
3,
2,
2,
4,
4,
2,
2,
4,
5,
2,
5,
3,
4,
4,
5,
4,
3,
4,
4,
4,
4,
5,
2,
4,
4,
4,
4,
4,
2,
6,
2,
2,
2,
3,
3,
2,
3,
4,
5,
2,
2,
2,
3,
2,
3,
4,
3,
3,
2,
2,
2,
2,
3,
2,
2,
3,
3,
2,
2,
5,
2,
4,
3,
2,
3,
3,
3,
4,
4,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
1,
4,
2,
2,
2,
3,
3,
2,
2,
2,
3,
2,
3,
8,
2,
2,
2,
2,
2,
2,
3,
4,
3,
4,
2,
2,
2,
4,
4,
2,
3,
2,
3,
2,
2,
2,
3,
2,
4,
7,
5,
4,
2,
3,
2,
7,
2,
4,
4,
2,
4,
5,
4,
2,
5,
3,
2,
4,
4,
4,
3,
2,
3,
3,
2,
2,
2,
2,
1,
3,
4,
2,
2,
2,
3,
3,
3,
3,
4,
2,
3,
2,
2,
3,
3,
2,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
2,
6,
3,
4,
4,
4,
4,
4,
6,
2,
2,
2,
2,
2,
2,
3,
1,
2,
4,
4,
4,
2,
4,
4,
2,
2,
4,
3,
3,
2,
3,
2,
2,
2,
4,
4,
3,
3,
2,
2,
3,
2,
3,
2,
2,
3,
2,
7,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
6,
2,
2,
2,
4,
4,
2,
5,
2,
4,
3,
2,
1,
3,
4,
4,
4,
2,
3,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
6,
4,
4,
4,
2,
2,
2,
2,
3,
3,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
4,
6,
2,
2,
2,
3,
3,
6,
3,
2,
2,
2,
2,
4,
3,
2,
3,
3,
3,
2,
3,
4,
6,
2,
2,
3,
3,
3,
3,
2,
4,
2,
2,
4,
1,
2,
2,
2,
2,
2,
2,
2,
2,
6,
3,
5,
3,
5,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
3,
3,
5,
3,
3,
3,
4,
3,
2,
5,
2,
4,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
3,
3,
3,
4,
4,
3,
4,
4,
6,
3,
4,
3,
3,
4,
4,
2,
4,
3,
3,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
4,
3,
4,
2,
3,
5,
2,
4,
4,
4,
5,
3,
4,
3,
3,
6,
3,
3,
2,
3,
6,
3,
3,
3,
3,
3,
4,
3,
4,
5,
2,
2,
2,
3,
4,
4,
8,
4,
3,
4,
3,
4,
5,
4,
1,
3,
4,
3,
3,
3,
3,
2,
3,
3,
2,
3,
6,
3,
4,
2,
3,
4,
4,
4,
2,
2,
4,
2,
3,
3,
2,
4,
2,
3,
2,
2,
2,
4,
2,
2,
3,
3,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
3,
3,
3,
3,
2,
4,
2,
3,
1,
1,
1,
1,
1,
2,
3,
4,
7,
3,
2,
2,
2,
2,
2,
4,
4,
5,
2,
4,
5,
5,
4,
4,
4,
4,
4,
6,
4,
3,
2,
4,
4,
4,
1,
5,
2,
4,
5,
3,
10,
3,
2,
2,
2,
3,
3,
4,
4,
3,
3,
3,
2,
2,
4,
3,
3,
7,
3,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
3,
5,
5,
4,
3,
4,
3,
3,
3,
2,
3,
3,
5,
3,
3,
3,
4,
3,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
7,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
5,
2,
3,
3,
3,
3,
3,
5,
8,
2,
2,
2,
2,
2,
2,
2,
2,
2,
6,
5,
2,
4,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
5,
5,
2,
4,
4,
4,
5,
4,
6,
2,
2,
2,
4,
2,
2,
4,
4,
4,
5,
3,
7,
3,
3,
5,
3,
4,
4,
3,
3,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
2,
2,
2,
4,
3,
4,
4,
5,
6,
3,
4,
4,
2,
2,
2,
2,
2,
2,
3,
4,
4,
5,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
3,
2,
3,
5,
5,
5,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
4,
6,
4,
2,
3,
4,
3,
4,
2,
2,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
6,
3,
4,
3,
3,
3,
2,
3,
4,
2,
3,
5,
5,
5,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
2,
3,
3,
5,
3,
2,
2,
4,
5,
5,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
6,
2,
1,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
2,
2,
3,
4,
6,
2,
5,
2,
4,
2,
5,
6,
6,
5,
5,
4,
2,
5,
3,
3,
2,
3,
3,
4,
7,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
4,
3,
2,
3,
7,
3,
3,
4,
3,
2,
2,
3,
2,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
5,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
4,
2,
4,
2,
5,
4,
2,
3,
3,
8,
4,
4,
2,
4,
2,
2,
2,
2,
2,
1,
2,
4,
2,
2,
2,
2,
2,
3,
2,
2,
5,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
4,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
3,
2,
2,
4,
2,
2,
4,
4,
3,
3,
8,
4,
3,
3,
4,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
5,
4,
4,
4,
2,
2,
2,
2,
3,
4,
4,
4,
3,
7,
4,
3,
5,
4,
6,
3,
2,
4,
2,
2,
2,
2,
2,
2,
5,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
3,
4,
2,
4,
2,
4,
5,
3,
5,
5,
3,
5,
3,
5,
2,
4,
4,
3,
4,
3,
4,
2,
2,
4,
4,
3,
5,
4,
4,
4,
4,
3,
4,
4,
3,
4,
3,
4,
1,
2,
2,
5,
5,
2,
2,
3,
2,
4,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
4,
3,
6,
4,
4,
4,
4,
2,
5,
2,
3,
3,
6,
3,
2,
2,
2,
2,
3,
3,
3,
5,
4,
2,
3,
2,
3,
2,
4,
3,
2,
2,
2,
4,
3,
2,
3,
1,
3,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
5,
3,
5,
5,
5,
2,
5,
3,
2,
3,
1,
3,
3,
4,
6,
3,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
3,
3,
2,
3,
1,
4,
3,
2,
2,
2,
2,
3,
2,
3,
4,
2,
2,
2,
3,
3,
2,
4,
3,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
5,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
2,
2,
4,
4,
3,
2,
2,
2,
2,
4,
5,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
5,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
1,
3,
2,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
2,
2,
2,
2,
3,
3,
3,
5,
4,
2,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
1,
3,
3,
3,
3,
4,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
1,
1,
4,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
1,
2,
3,
5,
2,
2,
4,
5,
2,
2,
2,
2,
3,
3,
2,
3,
2,
1,
2,
4,
2,
2,
2,
2,
3,
3,
4,
2,
2,
3,
2,
2,
2,
1,
2,
2,
2,
3,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
4,
4,
3,
2,
3,
5,
2,
3,
6,
3,
3,
3,
2,
2,
4,
2,
3,
3,
4,
2,
2,
2,
4,
4,
2,
5,
3,
3,
5,
2,
2,
2,
4,
6,
4,
2,
7,
3,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
3,
2,
4,
4,
3,
4,
2,
3,
1,
7,
4,
4,
4,
5,
2,
2,
5,
5,
2,
2,
3,
2,
2,
2,
3,
3,
2,
2,
4,
3,
4,
6,
2,
3,
4,
3,
4,
3,
2,
3,
2,
3,
3,
4,
3,
3,
3,
4,
3,
2,
2,
2,
2,
4,
2,
4,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
5,
4,
2,
4,
2,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
3,
4,
2,
2,
2,
4,
4,
2,
4,
2,
2,
3,
2,
2,
4,
2,
2,
3,
2,
3,
3,
2,
4,
4,
4,
4,
4,
2,
3,
3,
4,
2,
5,
5,
5,
5,
4,
2,
4,
3,
3,
3,
4,
3,
3,
1,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
2,
3,
6,
3,
2,
4,
2,
2,
2,
3,
2,
3,
4,
2,
4,
2,
2,
3,
3,
3,
2,
2,
3,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
4,
2,
2,
3,
3,
2,
2,
2,
2,
4,
2,
4,
5,
4,
2,
3,
2,
2,
4,
2,
4,
2,
4,
4,
3,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
3,
2,
2,
3,
9,
3,
7,
4,
2,
2,
5,
2,
4,
4,
4,
3,
4,
4,
4,
3,
3,
3,
2,
2,
4,
4,
2,
4,
4,
4,
2,
2,
4,
2,
2,
3,
7,
3,
2,
2,
3,
5,
2,
2,
2,
2,
3,
3,
6,
6,
4,
5,
5,
5,
3,
2,
3,
4,
5,
3,
3,
4,
2,
3,
3,
6,
5,
5,
4,
2,
3,
2,
2,
4,
2,
2,
4,
5,
4,
5,
2,
3,
4,
4,
7,
4,
2,
2,
3,
4,
2,
5,
2,
3,
2,
2,
1,
3,
4,
2,
4,
4,
3,
2,
2,
2,
3,
3,
3,
4,
4,
3,
3,
4,
2,
3,
4,
8,
3,
4,
2,
3,
4,
4,
8,
2,
2,
3,
2,
4,
3,
4,
2,
3,
6,
4,
4,
6,
2,
5,
3,
2,
2,
3,
5,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
3,
4,
3,
2,
3,
2,
4,
4,
3,
3,
3,
2,
2,
5,
2,
3,
2,
3,
3,
4,
2,
2,
4,
2,
4,
4,
4,
2,
3,
3,
3,
2,
4,
2,
2,
4,
4,
2,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
3,
2,
2,
4,
2,
4,
5,
2,
3,
6,
6,
4,
4,
3,
5,
5,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
4,
2,
2,
4,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
6,
3,
3,
3,
4,
4,
2,
2,
2,
2,
4,
4,
2,
7,
2,
3,
5,
2,
3,
4,
4,
2,
3,
2,
2,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
1,
2,
2,
3,
4,
5,
3,
3,
3,
5,
3,
3,
5,
3,
3,
3,
3,
3,
3,
5,
6,
3,
2,
2,
3,
3,
3,
2,
2,
4,
4,
3,
5,
2,
4,
4,
6,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
5,
2,
3,
3,
5,
2,
3,
2,
2,
3,
2,
2,
2,
4,
8,
2,
4,
2,
2,
2,
3,
5,
2,
2,
4,
2,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
2,
4,
2,
2,
3,
3,
2,
3,
2,
2,
2,
3,
3,
2,
4,
2,
2,
2,
3,
3,
3,
2,
4,
2,
2,
3,
4,
4,
2,
4,
3,
6,
2,
2,
3,
3,
4,
4,
4,
3,
7,
3,
3,
2,
3,
2,
6,
4,
2,
2,
4,
3,
4,
4,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
5,
2,
2,
3,
4,
3,
2,
3,
2,
2,
2,
6,
5,
6,
7,
5,
4,
2,
4,
2,
3,
2,
2,
4,
3,
2,
2,
2,
2,
4,
3,
4,
2,
3,
2,
4,
5,
2,
2,
2,
2,
3,
2,
4,
2,
2,
3,
2,
2,
3,
3,
3,
2,
2,
4,
4,
4,
4,
4,
2,
2,
3,
4,
2,
4,
3,
2,
3,
2,
3,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
5,
4,
2,
2,
3,
3,
2,
2,
2,
3,
3,
3,
2,
3,
3,
3,
2,
2,
4,
3,
3,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
6,
5,
2,
4,
4,
4,
3,
3,
3,
3,
3,
4,
2,
4,
6,
2,
2,
4,
4,
7,
3,
3,
3,
2,
2,
2,
2,
1,
2,
2,
3,
3,
2,
4,
3,
5,
7,
3,
3,
4,
2,
5,
3,
2,
2,
3,
1,
1,
3,
1,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
3,
4,
2,
2,
2,
2,
2,
3,
3,
4,
4,
2,
5,
3,
3,
2,
2,
3,
2,
2,
2,
4,
4,
3,
3,
4,
2,
3,
3,
3,
3,
5,
4,
6,
5,
4,
4,
3,
1,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
4,
6,
5,
5,
5,
5,
2,
4,
4,
5,
4,
4,
2,
2,
2,
2,
4,
4,
2,
3,
3,
3,
3,
3,
3,
4,
3,
7,
6,
3,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
7,
4,
3,
3,
2,
3,
4,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
4,
4,
2,
4,
3,
6,
4,
3,
3,
4,
2,
3,
2,
3,
3,
3,
4,
4,
4,
3,
4,
3,
2,
4,
3,
4,
3,
4,
3,
4,
4,
2,
2,
4,
4,
3,
4,
4,
2,
2,
2,
2,
5,
5,
4,
2,
2,
3,
2,
2,
6,
3,
2,
4,
5,
6,
2,
2,
2,
2,
2,
2,
2,
2,
5,
5,
2,
3,
3,
4,
3,
2,
2,
3,
2,
4,
3,
3,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
3,
3,
5,
4,
4,
4,
4,
3,
4,
4,
3,
3,
2,
2,
2,
4,
2,
4,
4,
2,
3,
2,
2,
4,
4,
3,
2,
3,
3,
3,
2,
4,
2,
3,
3,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
5,
3,
3,
4,
3,
2,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
2,
2,
2,
5,
2,
2,
3,
4,
3,
3,
3,
3,
2,
2,
8,
3,
3,
3,
3,
5,
2,
3,
3,
8,
3,
3,
5,
3,
3,
4,
2,
2,
2,
3,
3,
3,
3,
4,
4,
2,
3,
4,
2,
2,
2,
2,
2,
2,
3,
4,
2,
3,
3,
2,
5,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
4,
2,
4,
2,
4,
3,
2,
2,
2,
2,
4,
3,
3,
2,
4,
4,
5,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
2,
1,
4,
3,
2,
3,
4,
4,
4,
4,
3,
4,
6,
6,
4,
2,
3,
2,
4,
3,
3,
4,
2,
2,
2,
2,
3,
3,
4,
4,
3,
3,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
1,
2,
2,
3,
2,
5,
7,
4,
4,
4,
2,
2,
2,
2,
2,
3,
4,
4,
2,
4,
4,
6,
6,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
2,
2,
4,
2,
4,
3,
4,
5,
4,
5,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
2,
6,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
3,
4,
4,
4,
1,
1,
5,
3,
2,
2,
3,
3,
3,
3,
4,
3,
3,
2,
2,
3,
2,
4,
2,
3,
2,
2,
2,
2,
2,
3,
2,
1,
2,
2,
2,
4,
3,
4,
4,
3,
3,
6,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
2,
3,
4,
4,
4,
4,
6,
3,
4,
3,
2,
3,
4,
6,
4,
3,
4,
2,
2,
2,
2,
3,
2,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
3,
3,
3,
2,
3,
2,
3,
2,
2,
3,
2,
3,
2,
3,
2,
2,
3,
3,
2,
3,
4,
4,
4,
5,
4,
4,
3,
4,
4,
4,
7,
4,
4,
4,
4,
3,
4,
4,
2,
2,
3,
3,
3,
3,
3,
6,
6,
5,
4,
2,
3,
3,
3,
2,
2,
3,
2,
2,
7,
2,
3,
3,
3,
3,
6,
4,
4,
3,
3,
8,
2,
2,
4,
5,
3,
4,
4,
6,
2,
2,
2,
4,
4,
5,
4,
3,
3,
3,
3,
4,
3,
3,
2,
2,
4,
2,
2,
5,
3,
2,
3,
4,
3,
3,
3,
2,
3,
3,
5,
3,
3,
2,
3,
3,
2,
2,
2,
3,
2,
3,
4,
4,
4,
2,
2,
2,
2,
8,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
5,
2,
2,
4,
2,
2,
4,
2,
4,
2,
3,
4,
2,
3,
5,
2,
7,
3,
4,
3,
1,
3,
3,
3,
3,
1,
3,
3,
2,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
1,
3,
4,
5,
3,
2,
4,
2,
2,
3,
3,
2,
3,
2,
3,
5,
2,
7,
3,
4,
5,
4,
5,
5,
3,
3,
2,
4,
4,
3,
2,
2,
3,
2,
4,
3,
3,
3,
2,
5,
2,
2,
2,
2,
6,
4,
8,
2,
6,
3,
2,
2,
5,
3,
3,
2,
2,
3,
4,
2,
4,
2,
3,
3,
2,
3,
3,
3,
3,
2,
3,
1,
4,
3,
4,
4,
3,
3,
4,
3,
4,
4,
3,
3,
4,
3,
3,
3,
2,
2,
4,
2,
2,
4,
4,
4,
4,
6,
3,
2,
2,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
5,
3,
2,
5,
3,
3,
5,
3,
3,
4,
3,
3,
4,
4,
4,
4,
2,
7,
4,
2,
4,
5,
4,
3,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
5,
2,
2,
2,
4,
3,
2,
2,
2,
2,
1,
3,
2,
3,
3,
2,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
3,
3,
2,
2,
3,
3,
4,
2,
4,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
4,
6,
4,
4,
2,
4,
4,
2,
4,
4,
4,
4,
6,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
4,
4,
4,
2,
2,
2,
1,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
3,
4,
1,
2,
4,
2,
2,
2,
3,
2,
5,
3,
3,
4,
3,
3,
3,
5,
3,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
2,
4,
2,
2,
3,
3,
3,
3,
3,
1,
3,
3,
3,
2,
2,
2,
2,
3,
4,
3,
2,
4,
2,
5,
2,
4,
4,
5,
5,
5,
5,
4,
4,
3,
5,
3,
2,
2,
2,
2,
3,
4,
2,
4,
4,
3,
3,
2,
5,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
1,
4,
4,
1,
2,
2,
5,
5,
3,
4,
5,
4,
4,
2,
2,
4,
2,
2,
3,
5,
3,
3,
4,
2,
2,
3,
3,
3,
4,
2,
4,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
6,
2,
3,
3,
6,
2,
2,
3,
4,
5,
3,
2,
4,
3,
2,
2,
4,
2,
2,
2,
5,
4,
4,
3,
3,
4,
2,
4,
4,
3,
3,
5,
4,
4,
2,
4,
3,
1,
3,
2,
3,
2,
3,
2,
2,
3,
6,
5,
6,
4,
2,
2,
2,
3,
4,
5,
3,
4,
3,
2,
3,
3,
3,
2,
4,
3,
2,
1,
2,
2,
4,
4,
1,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
4,
4,
4,
3,
5,
2,
3,
4,
3,
3,
3,
2,
3,
4,
4,
4,
4,
3,
2,
4,
2,
2,
2,
2,
2,
3,
4,
2,
4,
4,
4,
2,
4,
4,
4,
3,
4,
3,
5,
3,
3,
3,
3,
3,
2,
6,
3,
4,
2,
2,
4,
4,
4,
2,
3,
4,
2,
2,
4,
2,
2,
4,
1,
4,
7,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
4,
3,
3,
4,
4,
2,
2,
3,
3,
3,
3,
2,
2,
4,
3,
4,
4,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
3,
4,
2,
4,
2,
2,
2,
2,
4,
4,
2,
3,
3,
3,
5,
3,
2,
3,
2,
2,
2,
2,
4,
2,
3,
2,
3,
3,
3,
4,
6,
4,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
3,
4,
4,
4,
2,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
6,
2,
6,
5,
3,
4,
4,
3,
5,
3,
2,
2,
3,
3,
3,
2,
2,
2,
3,
4,
4,
2,
2,
2,
4,
4,
2,
4,
4,
3,
2,
2,
5,
4,
2,
4,
3,
3,
4,
4,
3,
2,
3,
5,
3,
3,
2,
4,
5,
2,
2,
3,
3,
2,
4,
2,
2,
4,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
3,
1,
4,
3,
4,
4,
4,
5,
2,
2,
4,
4,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
7,
2,
3,
3,
3,
3,
4,
3,
3,
3,
4,
3,
4,
4,
6,
6,
2,
2,
2,
3,
2,
3,
4,
4,
2,
3,
2,
2,
4,
2,
3,
5,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
3,
4,
3,
1,
6,
3,
4,
4,
2,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
3,
6,
8,
2,
3,
4,
3,
3,
5,
3,
2,
2,
4,
4,
3,
2,
2,
4,
3,
3,
2,
5,
2,
2,
2,
2,
4,
3,
3,
2,
7,
5,
2,
5,
2,
2,
1,
1,
1,
1,
1,
4,
4,
4,
3,
3,
2,
2,
2,
3,
3,
2,
2,
3,
2,
2,
1,
4,
4,
4,
7,
4,
4,
4,
5,
3,
4,
2,
2,
2,
6,
3,
3,
5,
2,
3,
2,
2,
2,
2,
3,
4,
3,
6,
7,
3,
4,
3,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
4,
2,
2,
4,
4,
5,
4,
3,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
3,
2,
4,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
3,
3,
2,
4,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
6,
3,
2,
5,
4,
2,
5,
3,
4,
2,
4,
4,
4,
2,
4,
7,
8,
3,
6,
3,
2,
5,
3,
2,
2,
4,
6,
6,
3,
3,
3,
3,
2,
2,
3,
5,
3,
4,
2,
2,
3,
3,
2,
3,
3,
2,
3,
3,
3,
2,
3,
2,
3,
1,
4,
2,
3,
2,
4,
3,
2,
4,
4,
2,
4,
4,
4,
4,
3,
3,
2,
6,
5,
4,
3,
2,
2,
7,
6,
2,
1,
2,
2,
2,
2,
2,
6,
6,
2,
6,
2,
2,
2,
3,
1,
4,
2,
3,
2,
2,
3,
2,
2,
2,
5,
2,
2,
4,
2,
4,
3,
2,
5,
6,
6,
2,
2,
5,
7,
3,
4,
4,
3,
3,
4,
3,
4,
3,
3,
5,
3,
2,
3,
2,
2,
3,
3,
3,
6,
3,
3,
3,
4,
2,
3,
2,
3,
3,
4,
2,
4,
4,
4,
4,
4,
3,
4,
2,
2,
3,
4,
3,
3,
4,
3,
4,
2,
4,
2,
4,
2,
4,
2,
2,
2,
4,
2,
2,
2,
2,
4,
2,
4,
3,
3,
3,
2,
3,
3,
2,
4,
3,
3,
3,
2,
2,
2,
1,
3,
2,
1,
1,
4,
2,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
3,
2,
4,
2,
4,
2,
5,
1,
2,
2,
3,
3,
4,
4,
4,
2,
2,
3,
2,
6,
1,
4,
4,
3,
4,
9,
4,
3,
3,
4,
3,
5,
1,
4,
4,
4,
4,
2,
2,
2,
5,
5,
2,
2,
2,
2,
2,
2,
4,
1,
3,
4,
2,
3,
2,
2,
4,
4,
2,
4,
2,
3,
6,
5,
7,
2,
2,
2,
2,
2,
2,
2,
3,
1,
3,
3,
1,
4,
2,
2,
2,
5,
2,
4,
2,
2,
4,
4,
2,
3,
2,
4,
3,
3,
3,
4,
3,
4,
4,
3,
2,
4,
2,
2,
2,
2,
2,
5,
3,
3,
3,
3,
3,
3,
3,
3,
6,
2,
3,
4,
5,
6,
3,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
4,
3,
2,
2,
2,
2,
6,
2,
2,
4,
4,
4,
4,
2,
2,
4,
4,
2,
3,
3,
6,
4,
2,
3,
2,
6,
4,
8,
4,
4,
4,
4,
4,
2,
2,
4,
4,
3,
4,
3,
3,
4,
6,
6,
4,
3,
3,
4,
4,
2,
3,
2,
2,
3,
3,
2,
4,
5,
2,
2,
2,
1,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
4,
4,
2,
2,
4,
4,
2,
3,
3,
3,
4,
4,
4,
4,
4,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
5,
2,
2,
2,
2,
9,
2,
4,
2,
3,
4,
2,
4,
4,
3,
2,
2,
2,
4,
2,
2,
2,
4,
3,
3,
6,
3,
3,
3,
3,
2,
5,
4,
2,
3,
2,
2,
3,
3,
3,
4,
4,
2,
2,
5,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
5,
2,
2,
2,
2,
3,
2,
2,
4,
4,
2,
2,
4,
4,
2,
3,
3,
3,
3,
3,
3,
6,
2,
2,
3,
3,
2,
3,
3,
2,
4,
3,
3,
3,
3,
4,
5,
5,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
4,
2,
3,
4,
2,
4,
2,
4,
4,
3,
3,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
2,
4,
4,
3,
4,
3,
2,
2,
3,
2,
2,
2,
4,
2,
4,
4,
4,
5,
6,
4,
5,
4,
3,
3,
2,
3,
3,
2,
2,
4,
4,
4,
4,
3,
2,
3,
2,
2,
1,
1,
2,
4,
2,
3,
3,
4,
3,
3,
3,
2,
2,
5,
3,
2,
2,
3,
2,
3,
3,
3,
3,
3,
5,
3,
3,
4,
4,
2,
6,
3,
4,
2,
2,
2,
4,
2,
4,
4,
2,
2,
4,
4,
3,
4,
3,
3,
2,
1,
2,
3,
2,
3,
4,
2,
2,
1,
2,
2,
2,
1,
2,
2,
2,
2,
2,
4,
2,
3,
4,
2,
2,
3,
2,
2,
3,
4,
2,
2,
6,
3,
5,
3,
4,
2,
5,
5,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
3,
3,
2,
2,
4,
2,
3,
2,
2,
4,
3,
2,
2,
2,
2,
2,
4,
6,
2,
4,
6,
2,
2,
2,
2,
2,
3,
4,
4,
2,
5,
2,
2,
2,
4,
3,
4,
5,
4,
2,
4,
5,
3,
8,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
3,
2,
2,
2,
4,
2,
2,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
2,
4,
5,
2,
6,
6,
4,
2,
2,
4,
4,
2,
2,
2,
2,
2,
1,
2,
4,
3,
2,
4,
4,
3,
3,
2,
2,
3,
2,
4,
4,
4,
4,
6,
3,
3,
3,
4,
5,
3,
3,
2,
2,
2,
2,
2,
2,
4,
6,
5,
2,
2,
3,
4,
2,
4,
5,
2,
6,
2,
2,
2,
2,
5,
2,
3,
3,
2,
4,
3,
2,
5,
3,
2,
2,
2,
4,
4,
4,
4,
3,
2,
4,
3,
3,
4,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
2,
4,
5,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
3,
3,
3,
5,
4,
2,
2,
2,
2,
3,
3,
4,
3,
4,
3,
4,
2,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
7,
3,
4,
3,
7,
4,
4,
4,
3,
3,
3,
4,
4,
2,
2,
2,
1,
1,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
2,
5,
3,
4,
3,
4,
4,
8,
3,
5,
3,
4,
3,
3,
2,
2,
2,
3,
3,
3,
2,
4,
4,
4,
5,
5,
4,
3,
4,
2,
4,
2,
2,
2,
4,
4,
3,
2,
2,
4,
2,
3,
3,
2,
1,
2,
3,
3,
4,
3,
4,
3,
4,
2,
3,
2,
2,
4,
4,
2,
2,
4,
7,
4,
2,
2,
3,
1,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
4,
3,
2,
2,
3,
3,
3,
3,
2,
4,
4,
3,
3,
2,
2,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
1,
3,
4,
2,
2,
2,
2,
2,
3,
5,
4,
2,
2,
3,
3,
2,
6,
2,
2,
2,
2,
3,
3,
3,
4,
2,
4,
1,
5,
3,
4,
4,
2,
4,
4,
6,
2,
4,
4,
4,
4,
3,
3,
2,
4,
1,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
2,
2,
4,
4,
3,
2,
4,
2,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
5,
2,
3,
3,
3,
4,
2,
2,
4,
2,
4,
2,
2,
2,
2,
4,
2,
3,
3,
2,
3,
2,
3,
1,
3,
2,
2,
2,
2,
3,
4,
2,
5,
3,
4,
2,
2,
3,
2,
2,
2,
4,
3,
4,
7,
4,
3,
4,
5,
4,
2,
3,
3,
4,
4,
3,
2,
3,
4,
4,
3,
3,
2,
2,
3,
3,
3,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
5,
2,
3,
5,
3,
3,
4,
5,
3,
2,
4,
3,
2,
3,
3,
3,
6,
2,
2,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
3,
4,
3,
2,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
1,
2,
4,
2,
1,
4,
4,
1,
1,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
1,
4,
3,
3,
2,
3,
4,
2,
4,
2,
5,
3,
4,
3,
3,
3,
2,
4,
2,
3,
3,
2,
5,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
3,
5,
2,
4,
3,
4,
6,
5,
6,
3,
3,
2,
4,
2,
2,
2,
5,
2,
2,
3,
3,
3,
3,
4,
3,
4,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
5,
2,
3,
3,
3,
3,
3,
5,
4,
2,
2,
3,
3,
5,
3,
2,
2,
2,
2,
1,
2,
3,
3,
2,
2,
2,
3,
2,
3,
2,
2,
3,
3,
2,
3,
2,
2,
2,
5,
6,
6,
8,
7,
3,
2,
2,
2,
3,
4,
5,
3,
3,
3,
3,
3,
3,
3,
4,
1,
3,
2,
4,
2,
3,
3,
4,
4,
2,
5,
5,
7,
3,
3,
3,
7,
3,
3,
3,
4,
5,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
3,
5,
2,
4,
4,
3,
4,
3,
2,
4,
3,
3,
5,
2,
2,
2,
4,
2,
2,
2,
4,
4,
3,
4,
4,
4,
2,
2,
1,
2,
2,
2,
2,
8,
2,
2,
2,
3,
2,
3,
2,
1,
2,
3,
3,
2,
4,
2,
3,
3,
2,
4,
2,
3,
3,
2,
2,
6,
6,
4,
3,
3,
4,
6,
2,
5,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
5,
4,
5,
4,
3,
3,
3,
6,
6,
3,
3,
3,
2,
2,
2,
2,
4,
4,
2,
2,
2,
4,
3,
3,
3,
3,
3,
4,
2,
2,
4,
2,
2,
2,
2,
3,
2,
2,
2,
5,
1,
4,
3,
3,
3,
4,
3,
3,
4,
3,
5,
3,
5,
2,
3,
4,
2,
4,
2,
2,
2,
2,
4,
2,
3,
3,
3,
2,
4,
3,
3,
6,
5,
4,
3,
2,
4,
7,
1,
2,
4,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
5,
3,
4,
3,
3,
3,
2,
3,
2,
3,
3,
6,
2,
2,
4,
4,
4,
2,
3,
3,
4,
2,
2,
5,
4,
5,
4,
2,
6,
3,
2,
2,
2,
2,
2,
2,
3,
5,
4,
4,
3,
2,
8,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
4,
4,
2,
2,
4,
3,
2,
3,
4,
5,
5,
4,
2,
2,
3,
3,
2,
3,
2,
2,
4,
3,
2,
2,
2,
2,
3,
2,
2,
4,
3,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
2,
4,
4,
4,
6,
4,
6,
4,
4,
5,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
4,
4,
4,
4,
3,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
5,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
4,
1,
2,
4,
4,
4,
2,
2,
3,
2,
2,
3,
2,
3,
4,
2,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
3,
3,
2,
3,
2,
4,
4,
4,
4,
4,
2,
5,
4,
4,
2,
2,
2,
2,
5,
4,
2,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
5,
4,
4,
7,
1,
4,
4,
4,
2,
4,
2,
3,
2,
4,
2,
2,
3,
3,
3,
3,
4,
2,
3,
1,
2,
2,
4,
2,
4,
3,
4,
7,
3,
4,
3,
3,
3,
2,
3,
2,
2,
2,
4,
2,
2,
2,
3,
2,
2,
3,
2,
5,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
5,
2,
5,
2,
4,
3,
3,
2,
3,
3,
4,
2,
3,
2,
2,
2,
2,
4,
2,
4,
3,
4,
4,
4,
6,
3,
3,
3,
1,
3,
4,
4,
4,
3,
3,
4,
5,
2,
2,
3,
3,
4,
5,
5,
5,
5,
4,
2,
3,
2,
5,
2,
2,
3,
4,
5,
4,
7,
6,
2,
3,
2,
3,
5,
4,
3,
3,
4,
3,
2,
2,
2,
7,
4,
2,
2,
4,
6,
3,
5,
2,
4,
2,
3,
3,
2,
2,
3,
4,
3,
6,
3,
2,
4,
7,
4,
4,
4,
4,
4,
9,
4,
2,
2,
4,
4,
3,
3,
3,
4,
3,
2,
4,
3,
2,
2,
2,
2,
3,
2,
2,
2,
3,
5,
2,
3,
6,
6,
4,
4,
3,
2,
2,
4,
3,
2,
3,
3,
4,
2,
4,
3,
3,
5,
3,
3,
2,
2,
1,
2,
4,
5,
2,
4,
2,
4,
3,
5,
2,
2,
4,
2,
2,
2,
4,
2,
4,
2,
3,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
5,
4,
2,
4,
3,
4,
3,
3,
3,
3,
3,
1,
3,
3,
3,
4,
5,
4,
4,
3,
1,
2,
3,
3,
3,
4,
2,
2,
2,
5,
2,
2,
3,
4,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
3,
3,
4,
2,
2,
3,
4,
3,
2,
3,
4,
3,
3,
6,
2,
6,
3,
3,
4,
3,
3,
1,
3,
2,
2,
2,
2,
3,
2,
3,
3,
2,
2,
3,
3,
3,
1,
4,
3,
3,
3,
2,
2,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
6,
2,
2,
3,
3,
5,
5,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
4,
6,
3,
4,
6,
4,
3,
4,
3,
3,
4,
3,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
2,
4,
2,
2,
2,
3,
4,
2,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
4,
3,
2,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
4,
3,
5,
4,
4,
4,
4,
4,
3,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
2,
2,
2,
5,
2,
4,
2,
3,
3,
3,
2,
2,
4,
4,
2,
2,
2,
2,
3,
2,
2,
5,
3,
2,
2,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
3,
2,
2,
2,
1,
2,
2,
2,
2,
3,
2,
3,
2,
3,
5,
1,
3,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
5,
3,
2,
3,
4,
2,
2,
2,
3,
2,
1,
2,
2,
2,
2,
4,
2,
2,
4,
3,
4,
2,
3,
6,
4,
3,
2,
2,
2,
4,
2,
6,
4,
2,
2,
2,
3,
3,
5,
3,
4,
4,
4,
4,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
5,
5,
2,
2,
3,
4,
4,
3,
3,
3,
3,
5,
3,
3,
3,
4,
3,
2,
2,
2,
2,
4,
3,
3,
4,
4,
7,
4,
7,
4,
7,
4,
2,
2,
4,
2,
3,
2,
2,
4,
5,
4,
7,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
1,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
3,
4,
3,
3,
3,
3,
2,
4,
4,
2,
2,
4,
2,
4,
4,
3,
4,
4,
4,
2,
2,
5,
4,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
5,
3,
4,
3,
4,
3,
3,
4,
4,
4,
3,
2,
4,
4,
6,
2,
4,
4,
4,
4,
3,
5,
3,
2,
3,
2,
2,
7,
3,
3,
3,
4,
4,
4,
2,
2,
2,
4,
2,
4,
4,
4,
4,
3,
4,
4,
4,
3,
2,
3,
2,
4,
4,
4,
3,
7,
4,
2,
2,
2,
1,
2,
2,
6,
4,
2,
2,
2,
3,
3,
3,
4,
4,
3,
3,
6,
4,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
2,
2,
3,
4,
4,
4,
2,
4,
2,
2,
4,
1,
3,
4,
4,
2,
2,
2,
2,
6,
2,
2,
4,
4,
5,
4,
6,
5,
3,
4,
4,
6,
3,
2,
4,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
3,
3,
4,
4,
4,
3,
4,
3,
4,
4,
4,
2,
2,
2,
2,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
3,
4,
2,
3,
3,
6,
3,
2,
4,
2,
2,
2,
3,
3,
3,
2,
2,
4,
3,
4,
4,
4,
4,
3,
4,
4,
5,
4,
2,
5,
4,
2,
4,
4,
4,
4,
4,
7,
3,
2,
4,
2,
3,
3,
3,
3,
3,
2,
4,
6,
4,
3,
3,
3,
3,
3,
2,
4,
5,
3,
3,
2,
2,
4,
6,
3,
4,
2,
2,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
4,
3,
4,
3,
4,
2,
3,
2,
4,
4,
4,
3,
6,
2,
2,
3,
2,
7,
4,
2,
2,
2,
4,
4,
4,
4,
2,
2,
4,
6,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
3,
4,
4,
2,
2,
4,
4,
3,
4,
4,
4,
2,
2,
4,
4,
3,
3,
3,
5,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
6,
4,
5,
6,
2,
2,
2,
4,
2,
4,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
5,
5,
4,
2,
2,
2,
2,
4,
2,
2,
4,
2,
2,
2,
5,
3,
4,
4,
3,
3,
5,
2,
4,
2,
3,
1,
1,
1,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
1,
4,
3,
4,
2,
4,
2,
2,
3,
2,
4,
2,
2,
4,
4,
4,
5,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
3,
2,
1,
2,
2,
3,
3,
3,
2,
6,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
1,
3,
4,
2,
2,
4,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
4,
4,
4,
1,
2,
2,
2,
2,
8,
2,
4,
3,
4,
1,
5,
3,
4,
4,
6,
4,
2,
2,
2,
2,
2,
6,
2,
4,
3,
6,
3,
4,
3,
3,
3,
2,
4,
2,
3,
3,
3,
3,
4,
2,
3,
2,
4,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
4,
3,
2,
5,
5,
4,
2,
4,
2,
4,
4,
2,
1,
2,
2,
2,
3,
3,
3,
4,
3,
2,
2,
6,
2,
2,
3,
3,
3,
3,
3,
4,
4,
7,
4,
2,
4,
6,
3,
2,
3,
4,
2,
3,
3,
3,
2,
4,
3,
3,
3,
2,
2,
2,
4,
4,
3,
3,
4,
4,
2,
4,
2,
2,
2,
3,
1,
3,
2,
2,
2,
2,
5,
5,
4,
3,
2,
2,
2,
2,
2,
2,
3,
2,
5,
6,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
4,
3,
4,
4,
4,
2,
5,
4,
4,
3,
2,
3,
2,
2,
1,
2,
2,
2,
1,
2,
2,
5,
2,
2,
2,
2,
2,
4,
4,
4,
4,
5,
5,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
5,
2,
2,
1,
3,
3,
2,
3,
4,
3,
3,
4,
2,
3,
5,
4,
2,
4,
4,
3,
2,
2,
6,
8,
4,
4,
2,
2,
2,
6,
4,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
3,
2,
4,
2,
2,
3,
4,
3,
3,
3,
2,
3,
2,
2,
3,
5,
2,
2,
4,
2,
4,
3,
4,
4,
2,
3,
4,
6,
4,
6,
3,
2,
4,
4,
4,
4,
2,
2,
2,
4,
2,
2,
4,
4,
2,
2,
3,
3,
4,
3,
4,
4,
2,
4,
4,
3,
3,
2,
4,
4,
4,
3,
4,
3,
3,
3,
4,
4,
3,
5,
6,
4,
4,
5,
4,
2,
3,
2,
2,
4,
2,
3,
3,
3,
3,
2,
3,
2,
4,
2,
4,
4,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
4,
4,
6,
4,
2,
4,
2,
2,
2,
1,
4,
4,
4,
4,
3,
3,
5,
5,
2,
2,
3,
2,
2,
2,
2,
4,
4,
2,
2,
4,
4,
4,
3,
2,
3,
2,
3,
3,
8,
2,
2,
2,
2,
2,
3,
4,
3,
3,
2,
1,
6,
4,
4,
4,
4,
3,
7,
4,
2,
2,
2,
4,
2,
2,
3,
2,
2,
2,
4,
2,
2,
6,
2,
2,
2,
2,
4,
2,
5,
5,
2,
2,
2,
2,
4,
3,
4,
3,
2,
2,
5,
4,
3,
3,
4,
2,
3,
4,
2,
2,
6,
2,
2,
2,
3,
2,
2,
2,
3,
6,
2,
2,
2,
2,
2,
5,
5,
3,
3,
2,
7,
6,
3,
4,
3,
2,
4,
3,
2,
6,
4,
2,
3,
4,
2,
2,
3,
2,
2,
5,
4,
2,
2,
2,
2,
3,
3,
2,
2,
6,
4,
5,
2,
4,
4,
4,
3,
3,
4,
4,
4,
5,
2,
5,
4,
2,
2,
2,
3,
4,
2,
4,
2,
2,
2,
4,
4,
3,
2,
3,
2,
4,
4,
2,
4,
4,
2,
2,
4,
4,
3,
4,
2,
4,
1,
8,
2,
2,
8,
9,
3,
2,
3,
2,
3,
3,
3,
4,
7,
3,
3,
6,
5,
3,
3,
3,
3,
2,
4,
3,
4,
2,
4,
4,
2,
2,
4,
2,
2,
2,
3,
3,
2,
3,
3,
4,
3,
4,
3,
2,
4,
2,
4,
2,
2,
2,
5,
2,
2,
2,
2,
7,
6,
5,
2,
2,
4,
2,
2,
2,
2,
2,
3,
3,
2,
5,
5,
4,
4,
3,
3,
3,
4,
4,
4,
4,
2,
2,
4,
3,
2,
4,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
2,
2,
3,
3,
3,
2,
3,
4,
2,
4,
3,
5,
2,
1,
4,
3,
2,
2,
3,
3,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
5,
6,
2,
2,
2,
6,
4,
2,
3,
4,
2,
4,
4,
5,
5,
4,
4,
3,
2,
4,
3,
4,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
5,
2,
3,
2,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
2,
3,
2,
3,
2,
4,
4,
2,
5,
6,
6,
5,
4,
2,
3,
3,
2,
2,
2,
2,
2,
4,
2,
4,
2,
4,
2,
2,
4,
3,
3,
3,
3,
2,
3,
2,
2,
1,
3,
3,
3,
3,
4,
2,
3,
2,
2,
4,
2,
4,
2,
3,
4,
4,
4,
2,
2,
3,
3,
4,
2,
3,
2,
5,
2,
1,
2,
2,
2,
2,
4,
3,
3,
4,
2,
2,
2,
8,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
3,
4,
2,
2,
2,
2,
3,
2,
5,
4,
3,
3,
4,
2,
2,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
3,
2,
4,
5,
4,
4,
2,
2,
4,
2,
2,
3,
2,
2,
2,
5,
1,
3,
3,
4,
2,
2,
3,
3,
2,
4,
2,
4,
3,
2,
3,
3,
3,
7,
2,
2,
4,
3,
2,
2,
2,
3,
2,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
1,
3,
3,
2,
2,
3,
2,
5,
5,
3,
3,
2,
2,
4,
3,
4,
2,
1,
2,
3,
4,
5,
2,
5,
3,
4,
3,
4,
4,
6,
2,
2,
4,
4,
2,
2,
4,
4,
2,
4,
2,
6,
3,
3,
3,
3,
4,
6,
2,
2,
2,
4,
2,
2,
4,
2,
4,
7,
6,
5,
3,
4,
4,
2,
4,
2,
2,
2,
4,
2,
3,
2,
3,
4,
3,
4,
4,
3,
2,
3,
2,
3,
3,
4,
4,
5,
6,
3,
4,
3,
5,
4,
2,
2,
2,
2,
2,
2,
5,
4,
6,
5,
4,
5,
5,
2,
2,
2,
3,
4,
2,
6,
4,
4,
3,
3,
3,
3,
2,
3,
5,
2,
5,
4,
2,
1,
3,
5,
5,
5,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
2,
4,
3,
4,
3,
4,
3,
3,
3,
3,
3,
5,
2,
4,
4,
4,
4,
2,
4,
5,
5,
2,
3,
4,
5,
5,
4,
4,
4,
2,
3,
4,
4,
4,
3,
2,
2,
4,
3,
3,
5,
2,
2,
3,
3,
3,
4,
6,
6,
3,
5,
4,
4,
4,
2,
4,
4,
4,
2,
3,
2,
3,
5,
2,
2,
2,
2,
3,
3,
4,
3,
4,
3,
4,
2,
2,
2,
3,
3,
3,
5,
4,
4,
8,
7,
2,
4,
4,
5,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
2,
3,
3,
3,
2,
3,
3,
3,
3,
4,
2,
2,
3,
4,
2,
3,
3,
4,
5,
2,
5,
2,
3,
4,
4,
3,
4,
4,
5,
5,
3,
3,
5,
3,
2,
7,
5,
4,
3,
2,
2,
3,
2,
2,
5,
2,
4,
2,
4,
3,
5,
3,
4,
2,
6,
2,
6,
7,
3,
3,
3,
3,
2,
3,
4,
1,
2,
3,
4,
4,
4,
4,
4,
3,
4,
3,
3,
5,
1,
2,
8,
3,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
2,
4,
4,
6,
3,
5,
4,
6,
2,
2,
4,
3,
4,
4,
4,
4,
4,
2,
1,
3,
3,
6,
4,
5,
4,
2,
2,
2,
3,
5,
3,
3,
7,
2,
3,
3,
3,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
5,
3,
6,
4,
3,
3,
4,
4,
2,
3,
3,
2,
3,
2,
3,
3,
2,
3,
4,
3,
3,
2,
2,
4,
3,
4,
4,
4,
2,
2,
4,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
4,
1,
1,
4,
4,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
3,
2,
3,
4,
6,
4,
6,
4,
4,
4,
2,
2,
4,
4,
7,
3,
3,
3,
5,
2,
2,
3,
2,
3,
3,
3,
4,
3,
3,
4,
2,
2,
2,
3,
2,
3,
2,
3,
2,
4,
4,
3,
4,
4,
4,
4,
4,
2,
4,
2,
3,
2,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
3,
2,
5,
5,
2,
6,
7,
4,
4,
4,
4,
2,
2,
3,
2,
4,
3,
3,
4,
4,
4,
6,
6,
4,
4,
2,
4,
4,
4,
2,
3,
3,
6,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
2,
2,
4,
2,
3,
3,
7,
4,
3,
3,
2,
2,
2,
2,
3,
2,
2,
3,
1,
2,
1,
3,
2,
3,
2,
2,
4,
4,
4,
5,
2,
3,
3,
3,
3,
5,
3,
3,
2,
4,
2,
2,
2,
2,
2,
3,
6,
2,
4,
2,
2,
2,
3,
4,
4,
4,
3,
3,
3,
3,
2,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
3,
3,
3,
4,
6,
4,
3,
4,
4,
3,
2,
2,
2,
3,
3,
4,
3,
2,
2,
3,
3,
3,
3,
4,
2,
3,
6,
4,
4,
3,
6,
2,
2,
1,
2,
3,
3,
5,
4,
4,
2,
2,
2,
2,
5,
4,
4,
4,
4,
5,
2,
3,
4,
4,
4,
4,
4,
3,
4,
4,
2,
6,
3,
3,
5,
5,
2,
4,
4,
2,
5,
4,
2,
4,
8,
2,
2,
4,
4,
4,
4,
5,
3,
3,
3,
3,
3,
5,
6,
3,
2,
4,
4,
4,
5,
1,
2,
2,
3,
4,
3,
4,
4,
6,
2,
2,
2,
2,
4,
2,
6,
4,
4,
4,
5,
4,
6,
6,
6,
4,
4,
2,
2,
1,
2,
4,
3,
2,
2,
3,
3,
1,
4,
4,
4,
5,
2,
2,
2,
2,
4,
3,
3,
3,
2,
2,
5,
4,
2,
6,
4,
4,
4,
6,
3,
3,
3,
3,
4,
2,
4,
2,
2,
3,
3,
4,
4,
4,
3,
4,
1,
4,
3,
3,
3,
5,
7,
5,
4,
2,
3,
3,
5,
3,
2,
4,
4,
1,
4,
2,
2,
2,
2,
1,
2,
2,
1,
3,
3,
3,
2,
2,
1,
4,
2,
4,
4,
3,
2,
4,
2,
2,
3,
2,
3,
3,
3,
2,
3,
2,
3,
3,
4,
2,
2,
2,
2,
3,
4,
2,
3,
4,
5,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
5,
4,
3,
3,
3,
7,
3,
3,
4,
3,
4,
4,
4,
4,
4,
3,
1,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
4,
4,
4,
2,
4,
1,
4,
4,
2,
3,
4,
4,
3,
2,
5,
6,
2,
4,
8,
3,
4,
5,
3,
3,
2,
2,
3,
2,
3,
2,
4,
4,
2,
1,
3,
2,
3,
3,
2,
3,
7,
2,
3,
3,
3,
6,
2,
2,
4,
4,
3,
2,
4,
2,
3,
2,
3,
3,
2,
3,
3,
3,
2,
4,
2,
3,
2,
4,
5,
2,
3,
3,
2,
3,
2,
2,
2,
3,
3,
2,
2,
3,
3,
3,
4,
2,
4,
4,
4,
5,
5,
6,
4,
2,
2,
2,
2,
2,
1,
2,
3,
2,
2,
5,
4,
4,
3,
7,
2,
3,
2,
3,
3,
4,
1,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
3,
3,
4,
2,
2,
2,
4,
4,
3,
2,
4,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
5,
3,
2,
2,
4,
2,
3,
3,
2,
3,
2,
3,
4,
4,
2,
4,
3,
3,
2,
2,
2,
3,
2,
3,
3,
5,
4,
4,
4,
2,
3,
4,
2,
2,
5,
2,
4,
5,
3,
3,
2,
2,
1,
2,
2,
3,
2,
3,
4,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
1,
2,
4,
2,
2,
5,
2,
3,
2,
2,
5,
1,
5,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
2,
3,
3,
2,
2,
3,
3,
2,
3,
4,
4,
5,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
2,
2,
2,
6,
3,
2,
2,
5,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
5,
2,
2,
4,
5,
4,
3,
10,
3,
3,
2,
4,
2,
2,
4,
5,
3,
3,
3,
5,
4,
7,
4,
3,
4,
4,
2,
1,
6,
4,
3,
5,
2,
5,
4,
4,
4,
4,
3,
3,
4,
2,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
3,
3,
4,
2,
3,
3,
3,
3,
3,
4,
3,
3,
5,
3,
3,
2,
5,
5,
5,
2,
3,
3,
3,
2,
2,
2,
2,
4,
3,
7,
3,
4,
4,
4,
1,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
4,
5,
3,
2,
2,
2,
2,
3,
3,
3,
2,
5,
3,
4,
6,
3,
2,
3,
3,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
3,
2,
2,
2,
4,
4,
6,
2,
2,
2,
2,
4,
4,
2,
3,
2,
2,
6,
3,
3,
3,
3,
3,
3,
5,
3,
3,
4,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
2,
2,
3,
2,
2,
1,
4,
2,
3,
3,
2,
2,
4,
4,
4,
2,
3,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
3,
4,
5,
4,
2,
2,
2,
2,
4,
4,
3,
3,
4,
3,
3,
3,
3,
1,
2,
3,
3,
3,
2,
2,
5,
4,
5,
2,
4,
4,
3,
3,
3,
4,
3,
3,
3,
2,
1,
3,
3,
3,
4,
3,
1,
3,
4,
2,
4,
4,
2,
2,
3,
2,
2,
6,
2,
2,
2,
6,
4,
2,
3,
3,
2,
2,
2,
3,
5,
6,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
2,
4,
3,
3,
2,
1,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
2,
1,
3,
2,
2,
2,
4,
2,
3,
3,
4,
3,
2,
4,
4,
4,
3,
2,
2,
4,
4,
4,
4,
3,
4,
4,
4,
4,
3,
3,
2,
2,
3,
4,
1,
2,
2,
4,
5,
5,
4,
4,
3,
3,
2,
5,
3,
3,
5,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
6,
3,
3,
3,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
3,
3,
4,
4,
4,
3,
3,
2,
7,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
5,
2,
3,
2,
2,
4,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
5,
3,
3,
6,
3,
2,
3,
4,
2,
4,
4,
3,
2,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
6,
2,
4,
6,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
5,
4,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
1,
2,
3,
2,
2,
2,
6,
3,
3,
2,
4,
4,
2,
3,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
2,
4,
4,
3,
1,
3,
2,
3,
2,
5,
4,
4,
4,
4,
2,
2,
3,
3,
4,
2,
2,
4,
6,
6,
6,
7,
8,
7,
2,
2,
2,
2,
4,
4,
4,
4,
5,
3,
2,
4,
4,
2,
8,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
5,
3,
3,
4,
2,
3,
6,
3,
4,
4,
2,
2,
4,
3,
5,
2,
2,
5,
5,
4,
2,
4,
8,
3,
2,
3,
2,
2,
3,
3,
3,
4,
2,
3,
3,
3,
2,
4,
6,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
5,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
5,
3,
5,
3,
3,
2,
2,
2,
2,
4,
3,
2,
2,
2,
4,
4,
5,
3,
4,
2,
3,
2,
2,
3,
4,
4,
3,
2,
3,
3,
3,
3,
5,
4,
6,
4,
4,
2,
4,
4,
6,
5,
2,
4,
3,
5,
2,
4,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
4,
3,
3,
6,
2,
4,
4,
4,
5,
4,
3,
3,
4,
2,
3,
5,
2,
4,
1,
1,
2,
2,
1,
2,
2,
2,
4,
4,
3,
4,
4,
2,
2,
3,
4,
2,
2,
2,
4,
2,
6,
2,
4,
3,
3,
2,
2,
3,
3,
4,
4,
4,
5,
3,
2,
3,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
2,
2,
4,
2,
2,
2,
2,
3,
3,
2,
6,
2,
5,
2,
3,
2,
2,
4,
2,
4,
3,
4,
4,
6,
8,
6,
2,
1,
4,
1,
6,
4,
2,
4,
2,
4,
2,
2,
4,
4,
3,
2,
2,
4,
6,
4,
4,
3,
2,
2,
3,
4,
2,
5,
5,
2,
5,
2,
3,
4,
2,
2,
2,
2,
2,
3,
2,
5,
5,
5,
4,
6,
4,
3,
3,
2,
3,
2,
3,
2,
4,
4,
4,
4,
2,
4,
4,
3,
3,
4,
4,
4,
2,
2,
3,
3,
3,
2,
2,
4,
3,
3,
3,
3,
3,
2,
4,
6,
2,
3,
2,
2,
3,
2,
2,
2,
2,
8,
4,
2,
4,
4,
4,
2,
3,
2,
3,
4,
2,
2,
4,
4,
3,
6,
3,
3,
2,
2,
4,
2,
3,
3,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
7,
2,
2,
1,
1,
4,
4,
3,
5,
2,
3,
3,
2,
6,
4,
4,
2,
4,
3,
3,
3,
3,
3,
12,
1,
5,
3,
4,
2,
2,
3,
3,
5,
3,
2,
3,
4,
3,
4,
3,
2,
2,
4,
2,
4,
2,
4,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
3,
4,
4,
2,
2,
4,
4,
5,
5,
4,
4,
4,
5,
2,
5,
4,
2,
4,
2,
2,
2,
1,
1,
3,
3,
3,
2,
2,
2,
2,
3,
4,
2,
3,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
1,
1,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
4,
2,
4,
4,
4,
2,
4,
3,
3,
2,
4,
4,
5,
4,
4,
1,
2,
2,
2,
5,
3,
4,
3,
2,
5,
3,
6,
3,
2,
3,
2,
1,
2,
2,
2,
2,
2,
6,
4,
3,
4,
4,
4,
3,
5,
5,
6,
3,
5,
4,
4,
2,
3,
5,
2,
2,
3,
3,
3,
3,
6,
2,
4,
3,
3,
3,
4,
4,
4,
3,
3,
2,
4,
4,
3,
4,
3,
5,
4,
2,
3,
4,
3,
6,
3,
2,
2,
3,
3,
3,
3,
4,
5,
3,
4,
3,
3,
1,
2,
1,
2,
4,
4,
2,
4,
5,
3,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
5,
5,
2,
2,
3,
3,
4,
3,
3,
3,
4,
4,
2,
1,
1,
1,
2,
4,
4,
6,
8,
4,
8,
2,
2,
1,
1,
1,
4,
3,
2,
4,
4,
3,
6,
5,
2,
4,
3,
4,
2,
2,
2,
2,
4,
3,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
5,
4,
5,
5,
5,
4,
6,
5,
4,
3,
2,
2,
3,
2,
8,
3,
2,
5,
3,
3,
2,
2,
3,
2,
2,
3,
3,
3,
3,
2,
1,
1,
3,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
4,
4,
3,
2,
4,
2,
1,
2,
2,
2,
2,
2,
3,
6,
4,
3,
2,
4,
2,
5,
4,
4,
1,
3,
3,
3,
1,
2,
2,
4,
4,
3,
2,
4,
5,
2,
3,
3,
3,
4,
2,
2,
2,
4,
2,
3,
2,
3,
3,
1,
2,
2,
3,
2,
3,
4,
2,
3,
1,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
2,
4,
3,
3,
4,
4,
4,
2,
4,
4,
4,
5,
5,
3,
4,
3,
5,
6,
4,
4,
4,
2,
4,
3,
4,
4,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
4,
4,
5,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
3,
2,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
3,
4,
3,
4,
2,
4,
2,
2,
3,
4,
2,
4,
2,
2,
2,
2,
4,
2,
4,
3,
4,
4,
2,
3,
1,
2,
2,
5,
4,
2,
2,
3,
3,
2,
2,
4,
3,
5,
4,
1,
3,
3,
3,
3,
3,
2,
2,
4,
3,
3,
3,
2,
8,
3,
4,
2,
2,
4,
2,
3,
3,
6,
4,
6,
2,
4,
4,
2,
2,
3,
2,
1,
3,
4,
2,
1,
4,
5,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
4,
4,
4,
4,
2,
3,
3,
2,
3,
2,
2,
4,
4,
4,
6,
3,
2,
4,
2,
3,
3,
2,
4,
4,
4,
4,
3,
4,
4,
3,
1,
3,
4,
2,
3,
4,
2,
4,
4,
4,
4,
2,
3,
3,
4,
4,
2,
4,
4,
4,
4,
2,
3,
3,
2,
3,
2,
4,
4,
1,
2,
3,
4,
2,
2,
4,
3,
3,
4,
4,
8,
7,
5,
4,
6,
5,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
1,
4,
4,
4,
2,
2,
2,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
5,
4,
3,
4,
3,
4,
3,
2,
4,
4,
4,
2,
2,
4,
2,
3,
4,
4,
4,
2,
2,
6,
5,
2,
4,
3,
3,
5,
2,
2,
1,
4,
4,
4,
4,
2,
3,
2,
7,
2,
4,
4,
4,
7,
2,
6,
4,
3,
4,
1,
2,
2,
2,
2,
2,
3,
2,
2,
4,
4,
4,
3,
2,
3,
3,
2,
5,
2,
2,
1,
2,
2,
2,
2,
4,
2,
2,
4,
3,
2,
3,
2,
4,
2,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
3,
4,
4,
4,
4,
5,
4,
4,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
4,
4,
3,
4,
4,
3,
4,
4,
4,
5,
4,
4,
4,
4,
5,
6,
4,
3,
4,
4,
4,
3,
5,
2,
3,
4,
2,
4,
4,
2,
4,
4,
4,
2,
2,
4,
2,
2,
3,
4,
4,
4,
2,
4,
5,
4,
5,
3,
3,
3,
4,
3,
3,
3,
3,
3,
4,
2,
4,
5,
5,
4,
4,
3,
2,
7,
2,
2,
6,
3,
3,
1,
3,
2,
2,
2,
4,
2,
4,
4,
6,
4,
4,
4,
4,
4,
3,
2,
3,
2,
3,
3,
2,
4,
4,
5,
4,
4,
2,
2,
2,
3,
2,
2,
4,
8,
4,
3,
4,
5,
6,
4,
5,
3,
2,
3,
4,
3,
2,
3,
2,
5,
5,
2,
4,
2,
2,
2,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
4,
2,
4,
3,
3,
4,
4,
4,
2,
3,
4,
4,
3,
2,
2,
2,
4,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
4,
2,
3,
2,
5,
3,
4,
4,
3,
4,
4,
2,
4,
6,
4,
4,
6,
5,
5,
5,
4,
4,
4,
5,
3,
5,
2,
4,
2,
2,
2,
2,
2,
2,
3,
4,
4,
5,
2,
4,
4,
3,
4,
4,
3,
2,
3,
2,
3,
3,
4,
3,
3,
4,
3,
4,
2,
4,
4,
4,
2,
2,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
5,
5,
3,
3,
3,
3,
4,
2,
2,
2,
4,
2,
1,
4,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
5,
5,
3,
2,
4,
4,
3,
2,
2,
3,
5,
4,
3,
4,
2,
4,
3,
4,
5,
3,
4,
4,
4,
4,
3,
4,
4,
3,
3,
2,
4,
4,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
2,
3,
2,
3,
4,
4,
2,
5,
5,
4,
6,
6,
4,
4,
2,
2,
2,
3,
2,
4,
4,
5,
3,
3,
3,
3,
4,
3,
4,
2,
3,
5,
3,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
5,
2,
2,
6,
6,
2,
2,
2,
2,
2,
2,
1,
1,
2,
2,
2,
3,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
7,
2,
2,
3,
2,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
4,
3,
3,
5,
3,
3,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
5,
3,
2,
2,
4,
8,
4,
2,
6,
2,
2,
3,
2,
2,
3,
2,
2,
3,
3,
5,
5,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
2,
6,
2,
3,
2,
3,
2,
4,
3,
4,
3,
2,
4,
3,
4,
3,
2,
4,
4,
4,
4,
3,
3,
4,
4,
4,
4,
2,
3,
7,
3,
3,
3,
3,
2,
3,
4,
4,
2,
4,
2,
4,
4,
4,
3,
1,
4,
3,
2,
2,
2,
2,
4,
2,
4,
3,
2,
3,
3,
2,
3,
3,
2,
2,
6,
2,
2,
4,
2,
3,
6,
2,
3,
2,
2,
3,
3,
3,
2,
2,
4,
3,
4,
2,
4,
3,
3,
3,
3,
3,
2,
5,
2,
8,
3,
3,
4,
3,
4,
4,
2,
3,
8,
4,
2,
4,
3,
3,
3,
3,
4,
3,
3,
2,
2,
4,
4,
4,
4,
4,
5,
2,
5,
5,
2,
2,
4,
2,
3,
3,
3,
3,
1,
3,
3,
2,
2,
4,
3,
3,
3,
2,
4,
2,
3,
1,
2,
0,
3,
2,
2,
3,
2,
3,
2,
2,
3,
3,
3,
3,
4,
2,
2,
2,
3,
2,
4,
3,
2,
3,
4,
2,
2,
1,
1,
1,
3,
1,
4,
2,
4,
4,
2,
1,
2,
2,
3,
4,
3,
4,
6,
2,
2,
2,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
4,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
4,
2,
4,
3,
3,
4,
4,
4,
2,
3,
3,
3,
2,
3,
4,
3,
2,
2,
2,
4,
4,
4,
2,
4,
3,
4,
4,
4,
4,
4,
5,
3,
4,
5,
5,
5,
2,
5,
3,
5,
3,
4,
3,
2,
2,
2,
3,
3,
3,
2,
5,
2,
3,
4,
5,
3,
3,
3,
3,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
2,
2,
4,
2,
4,
3,
5,
3,
2,
3,
3,
4,
4,
3,
3,
3,
2,
3,
3,
3,
4,
4,
3,
4,
3,
4,
2,
2,
4,
2,
3,
4,
3,
3,
2,
2,
4,
4,
4,
4,
2,
2,
2,
5,
3,
3,
4,
3,
3,
2,
4,
4,
5,
3,
4,
3,
6,
4,
5,
2,
2,
3,
2,
4,
4,
2,
4,
5,
4,
4,
3,
2,
4,
4,
4,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
5,
2,
4,
2,
2,
3,
2,
2,
3,
4,
4,
4,
4,
4,
6,
3,
4,
4,
3,
5,
3,
5,
4,
4,
2,
2,
2,
2,
2,
4,
4,
3,
4,
3,
3,
4,
4,
7,
5,
4,
4,
4,
4,
6,
3,
3,
1,
2,
4,
5,
3,
2,
4,
3,
4,
3,
3,
5,
2,
3,
4,
3,
3,
6,
3,
4,
2,
3,
4,
5,
4,
3,
2,
2,
2,
3,
3,
3,
3,
6,
3,
4,
3,
3,
5,
2,
4,
3,
4,
3,
3,
3,
2,
2,
2,
4,
3,
3,
4,
4,
6,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
6,
4,
2,
2,
2,
2,
2,
2,
2,
3,
7,
4,
2,
2,
3,
3,
3,
3,
4,
3,
4,
4,
3,
3,
2,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
1,
1,
1,
2,
3,
2,
4,
5,
2,
3,
3,
3,
2,
3,
4,
2,
4,
4,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
6,
4,
3,
2,
4,
4,
3,
2,
2,
2,
2,
2,
1,
4,
3,
4,
4,
6,
3,
2,
4,
4,
2,
4,
7,
4,
4,
2,
4,
4,
3,
3,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
3,
5,
2,
3,
2,
2,
4,
2,
4,
3,
2,
2,
6,
2,
2,
2,
5,
4,
4,
2,
4,
4,
3,
4,
3,
6,
4,
2,
2,
3,
3,
2,
4,
2,
4,
2,
3,
4,
3,
3,
4,
4,
2,
6,
1,
4,
2,
1,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
2,
5,
4,
3,
2,
2,
5,
5,
3,
3,
3,
5,
3,
4,
3,
3,
3,
7,
3,
4,
4,
2,
7,
3,
6,
3,
4,
2,
3,
2,
3,
2,
2,
2,
3,
3,
5,
3,
4,
4,
2,
2,
2,
2,
7,
3,
4,
2,
5,
3,
4,
8,
4,
4,
4,
3,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
6,
2,
2,
2,
2,
2,
5,
4,
4,
5,
3,
3,
3,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
2,
3,
4,
2,
4,
4,
4,
1,
4,
2,
4,
4,
3,
4,
4,
2,
4,
2,
2,
4,
4,
5,
5,
2,
2,
2,
2,
2,
2,
6,
2,
7,
2,
3,
3,
2,
3,
3,
3,
2,
3,
5,
3,
2,
3,
3,
3,
3,
3,
3,
3,
6,
2,
5,
5,
2,
4,
2,
2,
4,
2,
4,
2,
2,
2,
2,
3,
2,
3,
5,
2,
2,
2,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
2,
2,
2,
4,
4,
4,
6,
2,
2,
3,
2,
3,
3,
2,
3,
2,
3,
5,
3,
3,
3,
4,
3,
3,
4,
4,
2,
2,
3,
3,
3,
3,
3,
2,
3,
2,
3,
3,
4,
3,
3,
5,
3,
7,
2,
2,
4,
4,
4,
4,
4,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
5,
3,
3,
2,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
2,
2,
2,
5,
2,
2,
4,
4,
4,
5,
4,
5,
3,
2,
5,
4,
3,
4,
7,
5,
3,
2,
2,
4,
4,
4,
3,
3,
3,
4,
2,
2,
4,
2,
4,
4,
2,
3,
3,
3,
4,
2,
2,
3,
4,
5,
2,
3,
2,
4,
2,
4,
4,
2,
7,
4,
4,
2,
4,
2,
4,
4,
4,
4,
8,
8,
3,
5,
4,
5,
2,
8,
8,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
3,
3,
4,
2,
2,
2,
2,
1,
2,
2,
2,
3,
4,
2,
4,
2,
3,
2,
2,
2,
4,
2,
3,
4,
2,
4,
2,
6,
5,
5,
2,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
6,
2,
4,
2,
4,
4,
3,
4,
4,
4,
4,
2,
3,
4,
2,
4,
4,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
4,
5,
3,
2,
6,
5,
7,
3,
3,
5,
5,
5,
4,
2,
3,
3,
3,
4,
4,
6,
4,
4,
3,
3,
3,
2,
2,
3,
3,
2,
1,
2,
6,
2,
3,
3,
2,
3,
4,
2,
2,
2,
1,
3,
2,
3,
2,
2,
3,
3,
2,
3,
4,
2,
3,
3,
2,
2,
3,
2,
3,
2,
1,
1,
3,
2,
3,
5,
4,
3,
3,
3,
4,
4,
3,
4,
3,
3,
3,
2,
4,
4,
4,
2,
2,
3,
3,
4,
4,
2,
4,
4,
3,
3,
2,
3,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
3,
5,
2,
5,
4,
4,
4,
3,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
2,
5,
3,
3,
4,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
3,
3,
2,
4,
2,
3,
3,
3,
6,
5,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
2,
3,
2,
3,
3,
3,
3,
3,
2,
1,
2,
2,
2,
3,
2,
6,
6,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
1,
1,
3,
3,
6,
2,
3,
2,
1,
7,
4,
2,
2,
2,
2,
2,
3,
3,
2,
4,
2,
4,
2,
3,
3,
5,
2,
4,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
3,
2,
2,
2,
4,
5,
5,
7,
3,
4,
4,
2,
2,
2,
2,
3,
2,
2,
5,
4,
2,
5,
6,
4,
3,
2,
2,
5,
3,
4,
5,
3,
2,
4,
4,
2,
4,
2,
4,
4,
4,
8,
2,
5,
2,
3,
5,
4,
3,
3,
1,
6,
3,
3,
3,
3,
3,
3,
6,
4,
2,
4,
4,
2,
4,
2,
4,
3,
3,
2,
2,
2,
3,
5,
4,
4,
3,
3,
3,
1,
3,
2,
3,
2,
2,
2,
4,
3,
3,
4,
3,
2,
4,
4,
4,
4,
6,
6,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
2,
4,
4,
3,
4,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
5,
4,
3,
2,
3,
5,
5,
4,
5,
2,
2,
1,
1,
3,
2,
2,
2,
4,
2,
4,
3,
4,
4,
4,
3,
2,
2,
2,
2,
3,
3,
4,
4,
3,
2,
5,
2,
2,
3,
2,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
3,
3,
3,
5,
4,
4,
2,
4,
4,
3,
2,
3,
3,
5,
3,
3,
2,
2,
5,
3,
3,
4,
4,
4,
4,
5,
2,
5,
3,
2,
1,
4,
3,
3,
2,
3,
3,
3,
3,
2,
5,
2,
3,
2,
4,
2,
4,
2,
4,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
7,
4,
4,
4,
2,
3,
6,
6,
3,
4,
3,
2,
2,
2,
2,
3,
4,
7,
4,
4,
2,
5,
4,
2,
3,
2,
2,
4,
2,
3,
2,
2,
2,
2,
3,
3,
2,
3,
4,
5,
7,
6,
2,
4,
4,
4,
2,
2,
4,
4,
2,
2,
2,
4,
2,
4,
5,
3,
3,
2,
2,
1,
2,
2,
4,
4,
4,
2,
2,
3,
4,
2,
2,
3,
3,
3,
2,
3,
2,
3,
3,
4,
4,
4,
4,
3,
3,
2,
2,
2,
4,
4,
2,
6,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
4,
5,
4,
5,
3,
3,
2,
3,
2,
5,
5,
3,
3,
4,
2,
4,
4,
4,
3,
3,
4,
4,
3,
4,
4,
4,
1,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
3,
4,
4,
4,
4,
2,
4,
3,
4,
7,
4,
4,
5,
4,
4,
6,
6,
4,
4,
5,
4,
5,
5,
5,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
1,
2,
3,
3,
2,
2,
4,
4,
2,
3,
3,
3,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
3,
4,
3,
3,
2,
2,
2,
2,
4,
2,
1,
2,
2,
3,
3,
5,
7,
3,
4,
2,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
3,
2,
5,
5,
2,
2,
2,
4,
2,
2,
2,
4,
3,
2,
3,
1,
3,
2,
3,
3,
3,
3,
3,
2,
2,
6,
3,
3,
3,
9,
4,
3,
2,
4,
3,
5,
5,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
2,
3,
2,
2,
4,
3,
4,
4,
5,
2,
2,
2,
3,
3,
2,
2,
2,
3,
3,
3,
4,
5,
5,
3,
3,
3,
2,
3,
5,
3,
3,
2,
2,
2,
3,
2,
2,
2,
4,
2,
2,
4,
2,
3,
2,
2,
2,
2,
3,
7,
4,
4,
4,
3,
3,
3,
2,
3,
4,
3,
5,
3,
4,
4,
1,
2,
2,
2,
4,
3,
3,
4,
2,
4,
4,
1,
2,
2,
2,
3,
4,
4,
5,
3,
2,
2,
2,
4,
3,
3,
3,
2,
3,
4,
2,
2,
2,
2,
4,
2,
2,
2,
4,
3,
4,
4,
3,
3,
2,
5,
2,
2,
2,
3,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
4,
3,
3,
3,
3,
5,
4,
3,
3,
3,
4,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
3,
2,
4,
2,
2,
3,
2,
2,
4,
4,
3,
2,
3,
3,
2,
4,
2,
4,
2,
4,
2,
2,
3,
4,
6,
4,
2,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
1,
3,
4,
6,
3,
4,
2,
2,
5,
3,
3,
4,
2,
4,
4,
2,
2,
3,
2,
2,
5,
5,
4,
5,
2,
4,
4,
2,
4,
4,
2,
3,
3,
3,
1,
2,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
3,
4,
2,
4,
3,
4,
4,
4,
3,
2,
3,
3,
3,
2,
2,
2,
2,
3,
4,
7,
5,
3,
4,
4,
4,
3,
3,
4,
7,
4,
4,
2,
4,
3,
2,
2,
3,
2,
2,
4,
4,
3,
3,
3,
3,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
3,
4,
5,
4,
4,
2,
2,
2,
4,
5,
3,
4,
4,
6,
2,
2,
2,
2,
2,
4,
4,
2,
2,
4,
2,
4,
4,
2,
4,
2,
2,
4,
4,
2,
3,
4,
3,
2,
2,
3,
4,
3,
3,
4,
3,
2,
4,
2,
2,
3,
6,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
5,
4,
2,
4,
2,
3,
3,
4,
2,
4,
3,
3,
3,
2,
2,
4,
2,
4,
2,
3,
5,
6,
6,
3,
3,
3,
3,
3,
3,
3,
3,
5,
4,
4,
4,
6,
4,
4,
5,
4,
4,
4,
4,
4,
2,
5,
5,
4,
2,
2,
6,
2,
2,
3,
6,
3,
3,
2,
2,
3,
3,
3,
3,
3,
4,
5,
3,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
1,
4,
3,
4,
4,
4,
3,
3,
3,
4,
3,
2,
6,
2,
3,
4,
5,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
6,
4,
4,
2,
4,
4,
6,
2,
4,
4,
4,
3,
3,
3,
2,
2,
4,
4,
2,
3,
2,
5,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
6,
3,
6,
3,
4,
2,
4,
4,
4,
2,
3,
2,
3,
2,
2,
3,
3,
3,
3,
4,
2,
2,
2,
2,
3,
2,
4,
2,
3,
4,
4,
4,
4,
3,
3,
2,
3,
3,
3,
3,
2,
3,
4,
2,
5,
4,
2,
4,
4,
2,
2,
2,
2,
2,
3,
2,
4,
6,
2,
4,
2,
3,
4,
2,
4,
3,
3,
4,
7,
7,
5,
4,
3,
5,
3,
3,
3,
2,
3,
1,
2,
3,
3,
5,
3,
2,
3,
2,
3,
3,
2,
3,
3,
4,
2,
2,
4,
2,
2,
3,
2,
6,
3,
6,
2,
3,
3,
2,
2,
2,
2,
2,
4,
2,
4,
4,
3,
3,
3,
3,
4,
2,
4,
5,
3,
3,
3,
3,
3,
2,
3,
2,
4,
3,
3,
2,
2,
4,
4,
4,
3,
2,
4,
5,
2,
3,
3,
5,
5,
5,
6,
3,
4,
2,
2,
3,
2,
4,
2,
3,
2,
4,
2,
2,
1,
4,
4,
1,
2,
4,
4,
2,
2,
4,
4,
2,
4,
4,
3,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
4,
3,
6,
5,
2,
2,
4,
3,
3,
2,
3,
3,
2,
2,
3,
3,
1,
2,
2,
3,
5,
5,
2,
2,
4,
4,
1,
2,
2,
2,
2,
2,
2,
3,
2,
7,
2,
2,
6,
2,
2,
2,
2,
6,
2,
2,
2,
6,
2,
5,
5,
5,
4,
3,
5,
3,
2,
2,
2,
3,
4,
4,
3,
4,
2,
3,
2,
2,
3,
3,
4,
2,
2,
3,
2,
3,
2,
2,
1,
3,
3,
2,
4,
3,
3,
3,
3,
3,
2,
4,
3,
3,
2,
2,
2,
2,
3,
4,
2,
4,
4,
3,
2,
2,
3,
3,
2,
3,
2,
3,
2,
2,
3,
2,
4,
3,
6,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
4,
5,
4,
4,
3,
3,
2,
3,
3,
2,
3,
3,
2,
2,
2,
4,
4,
2,
2,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
4,
3,
3,
4,
3,
2,
3,
2,
6,
3,
3,
2,
4,
2,
2,
3,
2,
4,
4,
4,
5,
5,
3,
2,
1,
2,
3,
2,
2,
1,
2,
4,
5,
3,
2,
5,
2,
2,
3,
3,
3,
4,
6,
5,
5,
5,
3,
6,
2,
2,
2,
2,
3,
3,
2,
4,
4,
2,
3,
3,
5,
5,
3,
4,
4,
4,
2,
4,
4,
4,
4,
5,
2,
2,
4,
4,
2,
4,
5,
4,
5,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
4,
4,
2,
4,
2,
2,
2,
2,
3,
5,
6,
3,
3,
2,
4,
2,
4,
4,
3,
7,
4,
3,
3,
5,
3,
1,
1,
2,
3,
2,
5,
6,
6,
5,
4,
4,
2,
4,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
5,
2,
2,
2,
2,
2,
5,
3,
3,
4,
2,
4,
5,
5,
3,
3,
4,
3,
2,
2,
4,
5,
4,
2,
3,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
3,
3,
4,
2,
2,
3,
3,
3,
3,
3,
4,
4,
2,
3,
4,
3,
4,
3,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
3,
3,
2,
4,
3,
2,
3,
4,
2,
4,
4,
3,
3,
2,
2,
4,
2,
2,
2,
4,
4,
4,
2,
4,
5,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
3,
2,
2,
3,
5,
3,
1,
4,
4,
4,
3,
4,
3,
3,
5,
3,
3,
2,
2,
2,
2,
3,
5,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
1,
7,
6,
3,
3,
4,
3,
3,
3,
2,
4,
3,
3,
4,
3,
3,
2,
4,
3,
4,
3,
3,
4,
4,
4,
4,
6,
3,
3,
5,
5,
6,
4,
4,
2,
6,
2,
4,
2,
4,
2,
2,
2,
4,
3,
4,
3,
4,
4,
1,
4,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
2,
2,
6,
3,
2,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
2,
2,
3,
2,
1,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
6,
3,
7,
3,
3,
3,
3,
3,
3,
2,
6,
4,
2,
2,
1,
2,
2,
2,
1,
2,
2,
3,
3,
7,
2,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
3,
2,
2,
2,
3,
4,
2,
5,
5,
2,
4,
2,
2,
5,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
4,
4,
2,
3,
2,
2,
3,
4,
3,
3,
3,
4,
3,
3,
3,
3,
4,
3,
3,
2,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
3,
3,
5,
3,
3,
2,
4,
4,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
4,
3,
4,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
4,
1,
2,
2,
3,
4,
2,
4,
4,
4,
3,
3,
6,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
2,
1,
2,
3,
2,
2,
4,
3,
3,
3,
2,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
4,
2,
2,
2,
3,
6,
5,
3,
4,
3,
3,
3,
2,
6,
5,
2,
2,
3,
3,
4,
2,
4,
4,
6,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
3,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
4,
3,
3,
3,
3,
5,
2,
4,
2,
4,
2,
2,
3,
4,
4,
4,
4,
4,
3,
3,
1,
3,
2,
3,
3,
2,
2,
7,
5,
5,
5,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
3,
5,
4,
4,
4,
6,
4,
2,
3,
2,
2,
2,
2,
4,
3,
2,
3,
4,
4,
3,
3,
2,
3,
2,
2,
2,
3,
3,
2,
5,
3,
2,
2,
2,
2,
5,
3,
4,
3,
3,
3,
3,
3,
3,
4,
5,
4,
4,
4,
2,
2,
3,
2,
3,
4,
2,
2,
2,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
2,
2,
2,
4,
3,
3,
3,
5,
4,
3,
4,
6,
2,
5,
2,
3,
5,
2,
2,
2,
3,
2,
2,
3,
3,
3,
4,
2,
2,
3,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
5,
3,
2,
2,
4,
2,
2,
3,
2,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
5,
4,
4,
4,
4,
4,
2,
3,
6,
5,
4,
3,
4,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
2,
2,
4,
5,
4,
2,
2,
4,
4,
4,
3,
2,
5,
4,
2,
5,
3,
3,
5,
1,
2,
3,
3,
2,
2,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
2,
4,
3,
4,
3,
3,
3,
3,
4,
3,
2,
2,
3,
4,
3,
4,
3,
1,
3,
2,
4,
3,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
5,
5,
5,
5,
5,
2,
4,
2,
2,
4,
4,
4,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
1,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
2,
3,
2,
3,
2,
1,
3,
2,
2,
2,
4,
3,
3,
4,
4,
2,
2,
3,
3,
3,
4,
8,
2,
4,
2,
2,
2,
3,
2,
4,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
4,
2,
4,
4,
2,
1,
2,
6,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
4,
2,
3,
2,
2,
4,
3,
2,
4,
2,
2,
3,
3,
5,
8,
3,
3,
3,
3,
2,
3,
3,
3,
2,
4,
2,
4,
3,
2,
2,
2,
4,
3,
2,
4,
3,
4,
4,
3,
2,
2,
1,
1,
4,
4,
6,
5,
4,
10,
10,
4,
3,
3,
3,
3,
4,
4,
2,
5,
2,
2,
4,
5,
4,
4,
4,
2,
2,
2,
3,
3,
5,
3,
3,
2,
2,
2,
4,
2,
3,
5,
6,
2,
4,
3,
2,
2,
6,
3,
4,
4,
2,
3,
3,
2,
4,
6,
4,
4,
4,
3,
6,
7,
4,
4,
2,
3,
5,
3,
4,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
2,
3,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
3,
4,
3,
5,
3,
2,
3,
2,
4,
2,
2,
2,
3,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
3,
3,
3,
2,
3,
4,
4,
4,
3,
3,
5,
4,
3,
4,
4,
2,
2,
2,
4,
7,
2,
4,
2,
2,
2,
3,
2,
2,
3,
4,
4,
4,
3,
4,
3,
3,
3,
3,
4,
2,
5,
5,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
5,
5,
2,
2,
2,
2,
4,
2,
4,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
3,
2,
2,
4,
2,
4,
4,
4,
2,
2,
4,
4,
4,
5,
5,
4,
5,
5,
5,
6,
4,
2,
4,
2,
2,
2,
2,
6,
2,
3,
1,
2,
2,
2,
2,
4,
1,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
3,
3,
3,
3,
5,
4,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
3,
3,
3,
2,
4,
2,
4,
4,
3,
4,
4,
3,
2,
2,
2,
4,
2,
2,
2,
2,
4,
7,
4,
2,
4,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
2,
5,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
2,
5,
5,
2,
5,
2,
4,
4,
3,
2,
2,
2,
2,
4,
2,
2,
2,
6,
3,
3,
5,
3,
3,
3,
4,
4,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
5,
5,
4,
2,
2,
2,
1,
5,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
5,
3,
3,
3,
5,
4,
5,
3,
2,
4,
3,
3,
2,
3,
3,
3,
3,
3,
8,
5,
4,
4,
4,
2,
2,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
4,
2,
2,
2,
2,
3,
4,
6,
5,
5,
3,
3,
4,
5,
7,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
5,
3,
3,
3,
3,
3,
2,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
5,
4,
4,
4,
2,
4,
4,
2,
2,
2,
4,
2,
2,
3,
3,
2,
3,
3,
2,
2,
6,
2,
3,
4,
2,
4,
6,
2,
2,
2,
2,
3,
3,
3,
4,
4,
2,
5,
5,
3,
6,
4,
7,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
2,
4,
4,
4,
2,
2,
3,
2,
2,
3,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
2,
2,
1,
4,
4,
2,
4,
2,
2,
4,
2,
3,
2,
2,
3,
4,
3,
4,
2,
4,
2,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
3,
2,
4,
4,
2,
7,
4,
2,
2,
2,
3,
2,
2,
3,
2,
2,
3,
2,
4,
4,
3,
5,
3,
3,
2,
3,
5,
3,
3,
4,
2,
2,
2,
3,
4,
4,
2,
3,
2,
4,
3,
3,
1,
2,
2,
2,
4,
4,
2,
3,
4,
4,
2,
4,
4,
3,
2,
3,
1,
2,
4,
3,
5,
3,
2,
2,
2,
4,
2,
2,
2,
2,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
5,
4,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
1,
1,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
6,
6,
4,
4,
4,
4,
4,
4,
4,
7,
2,
2,
2,
3,
3,
3,
3,
3,
3,
6,
4,
4,
4,
4,
2,
4,
3,
2,
3,
4,
4,
2,
4,
3,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
5,
2,
4,
2,
3,
3,
6,
2,
2,
4,
4,
2,
1,
3,
5,
3,
3,
4,
3,
2,
3,
3,
3,
3,
2,
4,
3,
4,
2,
2,
3,
4,
3,
4,
3,
2,
4,
2,
4,
4,
4,
4,
2,
4,
3,
3,
2,
4,
4,
3,
2,
2,
4,
4,
3,
2,
5,
5,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
4,
2,
3,
2,
2,
2,
3,
3,
2,
4,
4,
3,
2,
5,
2,
7,
3,
3,
5,
3,
2,
2,
6,
3,
2,
3,
3,
2,
2,
4,
2,
4,
2,
2,
2,
3,
4,
2,
2,
3,
3,
7,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
8,
3,
2,
2,
4,
2,
2,
2,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
4,
4,
2,
3,
3,
2,
4,
3,
3,
3,
3,
2,
2,
5,
4,
5,
5,
5,
4,
3,
3,
2,
2,
2,
2,
2,
4,
2,
4,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
5,
2,
2,
2,
3,
3,
4,
3,
5,
4,
4,
2,
2,
4,
6,
2,
4,
4,
4,
4,
6,
6,
4,
4,
4,
2,
2,
2,
2,
4,
2,
4,
2,
2,
4,
6,
2,
2,
2,
3,
2,
5,
4,
2,
3,
3,
4,
2,
3,
3,
2,
2,
2,
3,
2,
2,
3,
4,
4,
4,
5,
6,
4,
4,
4,
6,
3,
3,
4,
4,
2,
4,
2,
2,
2,
2,
2,
4,
4,
3,
4,
4,
6,
2,
4,
2,
3,
4,
1,
1,
2,
1,
3,
3,
4,
6,
2,
6,
3,
2,
3,
3,
3,
2,
3,
1,
2,
2,
3,
3,
4,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
1,
1,
4,
5,
2,
4,
4,
3,
3,
4,
3,
3,
3,
4,
4,
2,
4,
3,
5,
4,
3,
6,
2,
3,
3,
3,
3,
3,
3,
3,
7,
7,
2,
4,
4,
2,
2,
3,
4,
2,
2,
2,
2,
4,
3,
4,
4,
3,
3,
3,
3,
3,
2,
2,
5,
2,
5,
3,
4,
4,
5,
2,
3,
2,
5,
6,
2,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
5,
7,
4,
4,
4,
3,
5,
4,
4,
4,
5,
5,
2,
3,
3,
3,
6,
4,
5,
4,
4,
4,
4,
8,
4,
4,
4,
4,
5,
4,
3,
3,
3,
2,
4,
2,
2,
4,
6,
5,
1,
2,
2,
2,
4,
3,
2,
3,
3,
3,
2,
2,
3,
2,
2,
3,
2,
2,
2,
5,
3,
5,
5,
5,
3,
3,
4,
4,
3,
3,
3,
5,
3,
3,
3,
2,
3,
3,
3,
7,
8,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
3,
3,
3,
2,
2,
1,
4,
2,
4,
4,
3,
3,
3,
4,
2,
2,
4,
2,
2,
5,
4,
4,
4,
2,
4,
4,
2,
4,
2,
3,
2,
2,
1,
2,
3,
2,
3,
3,
3,
3,
3,
5,
4,
3,
2,
2,
3,
2,
4,
3,
3,
3,
7,
4,
5,
5,
3,
5,
3,
5,
3,
3,
3,
3,
3,
4,
4,
4,
5,
4,
4,
4,
4,
5,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
5,
3,
3,
3,
4,
3,
3,
2,
2,
2,
3,
2,
2,
4,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
3,
4,
3,
2,
2,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
3,
3,
5,
6,
3,
8,
6,
6,
4,
4,
4,
2,
4,
3,
4,
4,
3,
4,
2,
4,
4,
3,
2,
4,
4,
2,
2,
4,
4,
4,
2,
5,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
5,
4,
4,
2,
2,
2,
2,
3,
5,
4,
4,
4,
2,
4,
3,
2,
5,
3,
2,
3,
4,
4,
2,
4,
3,
2,
2,
3,
4,
4,
4,
4,
3,
2,
3,
2,
2,
2,
5,
3,
3,
8,
3,
2,
3,
2,
3,
2,
4,
3,
2,
3,
2,
2,
3,
2,
5,
2,
3,
3,
2,
4,
4,
4,
3,
3,
4,
3,
3,
2,
2,
1,
4,
4,
4,
2,
3,
5,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
3,
4,
3,
3,
3,
2,
2,
6,
2,
4,
2,
3,
4,
4,
2,
3,
3,
3,
6,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
2,
3,
2,
4,
5,
3,
2,
2,
4,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
5,
4,
5,
3,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
5,
5,
4,
2,
2,
3,
3,
2,
2,
3,
3,
2,
4,
2,
3,
4,
3,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
5,
5,
4,
4,
4,
3,
3,
3,
4,
2,
4,
2,
3,
2,
2,
2,
4,
4,
3,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
3,
4,
4,
4,
4,
5,
4,
4,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
6,
4,
3,
2,
5,
3,
6,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
3,
4,
2,
3,
4,
2,
3,
2,
2,
2,
3,
3,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
5,
3,
3,
2,
4,
4,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
3,
3,
2,
2,
2,
5,
2,
2,
3,
5,
7,
6,
3,
6,
6,
2,
4,
4,
2,
2,
2,
4,
2,
2,
2,
3,
1,
4,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
4,
3,
4,
2,
2,
2,
2,
2,
3,
3,
3,
2,
5,
4,
5,
2,
2,
2,
5,
6,
6,
2,
2,
3,
2,
2,
2,
4,
3,
4,
3,
4,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
6,
2,
3,
3,
5,
3,
3,
3,
2,
2,
2,
4,
2,
2,
2,
3,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
6,
3,
3,
4,
4,
4,
4,
4,
3,
4,
2,
3,
3,
4,
4,
3,
3,
3,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
2,
2,
2,
2,
4,
4,
4,
5,
3,
2,
3,
3,
3,
3,
2,
5,
3,
8,
3,
3,
2,
3,
5,
2,
3,
3,
2,
3,
1,
3,
2,
2,
2,
2,
3,
3,
3,
2,
4,
3,
4,
1,
4,
2,
2,
2,
2,
2,
5,
2,
5,
3,
4,
4,
4,
3,
4,
3,
4,
4,
4,
4,
3,
4,
2,
4,
1,
2,
4,
1,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
2,
4,
3,
3,
4,
4,
4,
4,
4,
6,
2,
3,
4,
3,
8,
4,
5,
2,
2,
2,
4,
2,
4,
4,
3,
3,
2,
4,
4,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
4,
4,
4,
3,
3,
3,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
3,
2,
2,
5,
4,
4,
4,
4,
3,
4,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
3,
4,
3,
2,
2,
3,
2,
4,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
4,
2,
6,
5,
3,
5,
4,
4,
3,
3,
4,
3,
4,
3,
3,
3,
2,
3,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
6,
2,
3,
4,
2,
5,
4,
4,
4,
4,
2,
2,
3,
2,
3,
1,
4,
2,
3,
3,
2,
2,
3,
3,
2,
3,
5,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
4,
4,
2,
4,
4,
3,
4,
2,
4,
3,
2,
2,
5,
2,
3,
3,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
3,
2,
1,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
3,
4,
5,
4,
5,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
1,
2,
2,
2,
2,
4,
5,
3,
3,
4,
4,
2,
3,
3,
3,
4,
3,
2,
4,
6,
3,
2,
3,
2,
1,
2,
3,
4,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
3,
2,
4,
6,
2,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
1,
2,
4,
5,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
4,
3,
3,
3,
3,
2,
2,
2,
3,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
2,
2,
7,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
2,
2,
6,
5,
2,
2,
5,
4,
5,
3,
3,
2,
5,
5,
2,
4,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
4,
4,
6,
4,
8,
4,
4,
3,
3,
2,
3,
4,
4,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
3,
4,
2,
2,
3,
4,
4,
4,
3,
4,
7,
7,
3,
2,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
2,
3,
2,
2,
2,
5,
2,
2,
3,
2,
5,
3,
3,
5,
3,
3,
3,
2,
3,
3,
2,
4,
3,
4,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
2,
3,
2,
4,
4,
5,
2,
2,
2,
2,
6,
2,
4,
5,
4,
3,
3,
2,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
5,
4,
2,
4,
2,
3,
4,
4,
2,
2,
4,
4,
3,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
3,
3,
4,
3,
4,
4,
3,
4,
4,
3,
4,
3,
3,
3,
2,
4,
2,
4,
5,
5,
2,
2,
2,
1,
4,
3,
4,
4,
5,
2,
3,
2,
4,
3,
3,
2,
2,
4,
2,
4,
2,
4,
2,
1,
3,
2,
6,
4,
3,
3,
3,
3,
4,
2,
2,
5,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
4,
4,
2,
2,
4,
3,
4,
4,
5,
5,
3,
3,
2,
4,
4,
4,
3,
2,
2,
4,
2,
3,
3,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
4,
4,
4,
4,
2,
1,
3,
5,
5,
5,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
6,
4,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
2,
2,
2,
3,
4,
3,
2,
2,
4,
6,
2,
3,
4,
2,
4,
3,
3,
2,
3,
3,
3,
4,
3,
3,
4,
4,
5,
3,
4,
4,
5,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
2,
4,
4,
7,
2,
3,
2,
2,
2,
3,
2,
2,
2,
4,
4,
2,
2,
4,
2,
3,
4,
3,
4,
3,
3,
3,
3,
4,
3,
2,
4,
2,
2,
2,
4,
4,
3,
5,
2,
2,
5,
6,
5,
3,
4,
4,
4,
2,
3,
2,
2,
2,
2,
3,
3,
6,
4,
3,
3,
3,
2,
2,
2,
4,
2,
2,
4,
4,
4,
3,
4,
3,
3,
2,
2,
3,
5,
2,
2,
3,
4,
4,
3,
2,
2,
2,
1,
3,
4,
2,
5,
3,
3,
3,
3,
3,
2,
5,
5,
3,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
4,
3,
3,
2,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
6,
3,
3,
4,
3,
2,
3,
5,
5,
4,
3,
4,
4,
4,
3,
4,
4,
4,
3,
4,
1,
2,
3,
3,
3,
5,
3,
4,
4,
4,
4,
3,
2,
4,
4,
5,
4,
2,
2,
3,
4,
4,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
3,
2,
2,
2,
5,
2,
4,
3,
5,
6,
3,
3,
2,
2,
2,
2,
4,
3,
4,
2,
4,
4,
3,
2,
3,
5,
5,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
2,
4,
3,
5,
3,
2,
2,
2,
3,
2,
2,
2,
4,
4,
4,
1,
5,
4,
2,
2,
2,
3,
2,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
4,
2,
3,
3,
3,
3,
3,
2,
4,
6,
3,
6,
6,
3,
4,
2,
2,
2,
3,
2,
2,
2,
3,
2,
4,
2,
3,
2,
2,
2,
2,
1,
2,
4,
4,
2,
2,
4,
2,
4,
2,
3,
3,
2,
2,
6,
2,
3,
2,
2,
3,
4,
2,
2,
2,
3,
3,
2,
2,
2,
3,
2,
3,
3,
2,
2,
2,
5,
3,
3,
4,
3,
3,
4,
4,
6,
4,
4,
3,
4,
4,
3,
4,
3,
2,
4,
4,
4,
3,
2,
3,
3,
4,
4,
2,
4,
2,
3,
2,
2,
3,
4,
3,
3,
3,
3,
3,
6,
2,
5,
4,
6,
5,
4,
4,
2,
2,
5,
3,
4,
2,
5,
3,
8,
4,
2,
2,
2,
2,
2,
2,
1,
2,
2,
3,
3,
3,
4,
5,
4,
4,
6,
4,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
3,
2,
4,
4,
2,
6,
3,
5,
6,
6,
2,
2,
2,
4,
7,
4,
4,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
6,
2,
2,
3,
4,
4,
6,
1,
3,
4,
4,
5,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
5,
4,
3,
4,
3,
3,
3,
3,
1,
2,
2,
2,
5,
4,
2,
2,
3,
4,
6,
5,
2,
2,
3,
2,
2,
2,
3,
4,
2,
2,
4,
3,
3,
5,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
4,
4,
4,
3,
3,
2,
2,
2,
2,
5,
6,
2,
3,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
2,
4,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
3,
3,
3,
2,
3,
4,
3,
2,
3,
2,
5,
5,
4,
3,
2,
2,
2,
4,
3,
2,
1,
3,
1,
1,
2,
4,
2,
5,
4,
6,
2,
3,
4,
6,
6,
2,
2,
3,
3,
4,
2,
3,
3,
3,
3,
2,
7,
5,
4,
3,
4,
4,
2,
4,
4,
2,
2,
4,
2,
2,
3,
4,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
3,
4,
4,
2,
2,
3,
3,
3,
3,
3,
2,
3,
4,
2,
4,
4,
3,
4,
4,
2,
2,
2,
2,
2,
4,
4,
3,
4,
3,
2,
2,
2,
2,
3,
2,
3,
3,
2,
5,
2,
2,
2,
2,
2,
2,
2,
1,
2,
5,
4,
3,
2,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
3,
3,
2,
3,
3,
6,
3,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
4,
2,
4,
4,
2,
3,
2,
2,
2,
3,
3,
3,
3,
2,
3,
4,
2,
2,
4,
5,
3,
2,
2,
4,
3,
4,
4,
4,
4,
2,
4,
3,
3,
3,
2,
2,
2,
3,
2,
3,
2,
2,
3,
2,
3,
5,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
3,
4,
4,
2,
4,
5,
2,
3,
4,
1,
2,
2,
4,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
4,
4,
3,
5,
4,
3,
3,
5,
2,
2,
5,
2,
2,
2,
1,
4,
2,
2,
2,
2,
3,
3,
3,
2,
1,
3,
2,
3,
4,
2,
4,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
3,
4,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
3,
4,
3,
2,
2,
2,
4,
5,
2,
2,
4,
4,
5,
5,
5,
4,
2,
2,
3,
4,
4,
2,
2,
4,
4,
3,
3,
3,
4,
4,
3,
3,
4,
6,
5,
4,
4,
4,
2,
7,
2,
2,
2,
2,
3,
2,
4,
3,
4,
4,
4,
2,
4,
4,
2,
2,
4,
3,
2,
2,
2,
3,
3,
2,
3,
2,
4,
2,
3,
3,
2,
3,
3,
2,
4,
2,
2,
3,
2,
4,
4,
3,
2,
8,
3,
2,
2,
2,
3,
3,
4,
4,
3,
3,
3,
4,
4,
2,
2,
3,
4,
2,
4,
3,
3,
3,
3,
3,
2,
3,
2,
2,
4,
8,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
2,
4,
3,
3,
2,
3,
3,
2,
2,
3,
3,
2,
2,
6,
2,
2,
4,
3,
2,
3,
4,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
5,
4,
2,
1,
2,
2,
2,
4,
4,
3,
3,
2,
3,
4,
3,
3,
3,
3,
3,
3,
2,
4,
4,
5,
3,
5,
5,
5,
5,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
3,
5,
4,
4,
4,
4,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
5,
2,
4,
2,
3,
3,
2,
3,
5,
3,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
2,
4,
4,
4,
3,
2,
4,
5,
3,
3,
2,
4,
2,
3,
3,
4,
4,
4,
2,
2,
3,
2,
4,
2,
3,
4,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
4,
4,
2,
2,
4,
4,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
5,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
4,
2,
2,
3,
3,
2,
3,
3,
4,
3,
3,
3,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
7,
2,
2,
4,
7,
3,
3,
2,
2,
2,
2,
3,
4,
2,
2,
4,
4,
5,
4,
4,
4,
4,
1,
3,
3,
5,
2,
4,
4,
2,
2,
3,
3,
2,
5,
4,
4,
4,
4,
4,
2,
2,
2,
2,
5,
4,
4,
4,
4,
3,
4,
3,
4,
2,
4,
3,
3,
3,
2,
3,
2,
4,
3,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
4,
2,
2,
2,
6,
3,
3,
3,
2,
2,
3,
2,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
2,
2,
4,
5,
2,
5,
5,
2,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
2,
4,
4,
2,
4,
4,
2,
1,
3,
6,
2,
4,
4,
2,
4,
4,
3,
3,
3,
6,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
3,
2,
4,
2,
4,
2,
6,
6,
3,
3,
4,
3,
3,
2,
4,
3,
3,
4,
4,
1,
2,
4,
2,
2,
2,
2,
3,
2,
3,
2,
5,
4,
7,
4,
4,
3,
3,
2,
2,
3,
4,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
1,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
3,
3,
2,
2,
4,
2,
4,
5,
7,
2,
4,
2,
4,
2,
2,
6,
6,
2,
4,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
3,
2,
3,
2,
3,
2,
3,
2,
3,
3,
3,
2,
2,
3,
4,
2,
3,
4,
5,
2,
4,
4,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
2,
2,
5,
5,
4,
2,
4,
2,
2,
2,
2,
3,
2,
5,
3,
3,
3,
2,
4,
4,
2,
4,
2,
2,
2,
4,
2,
2,
1,
2,
2,
2,
2,
2,
2,
4,
3,
4,
2,
2,
2,
2,
2,
5,
3,
2,
2,
4,
4,
2,
2,
3,
3,
3,
2,
3,
4,
2,
4,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
4,
3,
2,
3,
3,
4,
4,
3,
3,
2,
4,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
3,
2,
4,
3,
2,
2,
3,
3,
4,
4,
4,
2,
2,
4,
3,
3,
2,
3,
2,
2,
2,
4,
2,
4,
2,
4,
4,
3,
3,
2,
3,
3,
3,
7,
4,
2,
4,
4,
2,
4,
4,
2,
2,
4,
2,
4,
2,
3,
3,
4,
4,
3,
4,
3,
4,
1,
2,
3,
2,
2,
2,
3,
3,
2,
3,
3,
4,
4,
5,
2,
2,
4,
3,
4,
4,
5,
2,
2,
3,
3,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
5,
6,
4,
4,
3,
4,
2,
2,
3,
3,
3,
2,
4,
5,
4,
4,
2,
2,
3,
4,
2,
2,
3,
2,
2,
3,
3,
3,
5,
4,
4,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
5,
2,
2,
2,
6,
2,
2,
5,
2,
3,
2,
3,
3,
4,
4,
2,
3,
3,
2,
2,
1,
3,
3,
2,
2,
3,
2,
4,
4,
4,
3,
4,
6,
2,
3,
4,
2,
4,
6,
4,
4,
2,
2,
2,
4,
4,
2,
2,
2,
2,
4,
4,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
3,
1,
3,
2,
2,
2,
2,
2,
2,
2,
4,
7,
3,
2,
4,
4,
8,
2,
3,
3,
4,
3,
3,
3,
2,
3,
3,
3,
3,
2,
1,
3,
3,
3,
3,
2,
3,
2,
7,
4,
4,
4,
4,
3,
3,
4,
2,
4,
5,
5,
2,
2,
2,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
6,
5,
4,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
2,
2,
3,
2,
2,
3,
4,
3,
2,
4,
2,
4,
2,
2,
2,
3,
2,
2,
3,
3,
2,
2,
6,
3,
4,
3,
3,
5,
4,
3,
2,
3,
2,
2,
5,
2,
4,
4,
4,
2,
2,
3,
3,
3,
2,
3,
3,
2,
4,
4,
3,
4,
3,
4,
4,
5,
2,
2,
4,
4,
2,
4,
4,
2,
3,
2,
2,
3,
4,
5,
5,
4,
3,
3,
2,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
5,
4,
4,
3,
3,
3,
2,
2,
1,
3,
3,
4,
3,
5,
4,
3,
2,
4,
4,
1,
4,
3,
3,
3,
3,
3,
4,
3,
2,
3,
1,
2,
4,
2,
4,
4,
4,
4,
4,
6,
6,
4,
4,
4,
6,
3,
3,
4,
4,
3,
2,
2,
2,
4,
5,
3,
3,
4,
3,
3,
2,
3,
3,
3,
2,
3,
3,
2,
3,
3,
2,
3,
3,
4,
2,
1,
2,
3,
2,
4,
2,
2,
2,
3,
2,
3,
2,
2,
3,
2,
2,
2,
3,
3,
2,
1,
4,
3,
3,
2,
6,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
2,
1,
2,
1,
2,
2,
3,
2,
3,
4,
3,
3,
5,
5,
4,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
4,
4,
2,
2,
4,
4,
5,
4,
6,
5,
2,
2,
2,
2,
3,
5,
3,
4,
5,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
4,
4,
3,
6,
4,
4,
1,
3,
3,
4,
4,
4,
4,
2,
2,
3,
3,
4,
4,
2,
2,
5,
5,
2,
2,
4,
3,
1,
1,
2,
5,
2,
2,
3,
2,
2,
3,
2,
2,
3,
2,
2,
3,
4,
2,
2,
4,
2,
3,
3,
3,
2,
2,
2,
4,
4,
3,
1,
3,
4,
4,
5,
3,
4,
4,
4,
4,
4,
4,
4,
2,
5,
2,
2,
2,
4,
4,
2,
8,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
4,
2,
2,
2,
2,
3,
4,
4,
3,
4,
2,
4,
4,
2,
4,
4,
4,
3,
3,
2,
2,
3,
6,
2,
2,
2,
5,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
5,
3,
3,
2,
2,
3,
2,
2,
3,
3,
2,
3,
2,
3,
1,
1,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
4,
2,
3,
3,
3,
2,
5,
4,
2,
1,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
2,
3,
4,
4,
4,
3,
3,
2,
3,
2,
4,
4,
4,
2,
4,
4,
4,
2,
4,
4,
5,
3,
4,
2,
4,
4,
3,
3,
3,
3,
4,
4,
2,
4,
3,
3,
3,
2,
4,
4,
7,
6,
7,
7,
5,
2,
4,
3,
1,
4,
4,
4,
4,
4,
1,
5,
4,
1,
4,
4,
6,
5,
3,
4,
3,
1,
4,
4,
2,
5,
4,
7,
3,
3,
3,
5,
2,
3,
2,
2,
3,
2,
3,
4,
2,
3,
3,
2,
2,
2,
4,
3,
2,
3,
4,
4,
4,
3,
2,
4,
2,
2,
3,
2,
3,
2,
2,
3,
3,
4,
4,
4,
2,
2,
3,
3,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
4,
3,
2,
5,
2,
3,
4,
2,
2,
2,
3,
3,
3,
3,
4,
2,
2,
2,
4,
4,
2,
2,
4,
6,
6,
3,
4,
4,
4,
4,
1,
3,
1,
3,
4,
2,
5,
4,
2,
4,
4,
2,
2,
5,
4,
4,
2,
4,
4,
2,
4,
3,
6,
3,
3,
2,
4,
2,
2,
2,
3,
3,
2,
2,
2,
4,
3,
3,
3,
2,
4,
2,
2,
2,
2,
3,
2,
5,
4,
3,
4,
4,
2,
3,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
2,
3,
3,
3,
3,
2,
4,
2,
2,
3,
3,
2,
5,
4,
2,
2,
2,
3,
4,
2,
2,
2,
4,
3,
4,
2,
2,
3,
3,
2,
4,
5,
4,
3,
2,
3,
4,
4,
2,
3,
3,
4,
4,
2,
2,
4,
3,
3,
3,
2,
2,
2,
2,
5,
2,
4,
6,
4,
3,
2,
2,
2,
3,
2,
2,
2,
3,
3,
4,
7,
3,
3,
3,
4,
2,
4,
2,
3,
3,
2,
3,
6,
3,
3,
2,
1,
2,
3,
3,
2,
4,
3,
5,
5,
4,
4,
5,
4,
2,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
3,
1,
3,
4,
5,
4,
3,
2,
2,
4,
5,
5,
5,
2,
2,
4,
4,
4,
2,
2,
4,
4,
4,
2,
2,
2,
4,
2,
4,
4,
5,
5,
5,
5,
2,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
2,
1,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
4,
1,
2,
2,
2,
5,
6,
3,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
5,
2,
4,
3,
4,
3,
2,
2,
4,
3,
4,
3,
4,
4,
4,
4,
4,
2,
2,
4,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
8,
3,
3,
5,
3,
5,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
5,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
2,
3,
2,
2,
5,
5,
2,
2,
5,
3,
2,
3,
3,
3,
2,
1,
3,
3,
2,
3,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
5,
4,
2,
2,
2,
4,
4,
4,
5,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
1,
3,
3,
3,
3,
3,
3,
3,
4,
5,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
4,
5,
3,
3,
3,
4,
3,
3,
6,
5,
4,
4,
4,
3,
4,
4,
4,
4,
6,
4,
3,
2,
2,
3,
3,
4,
5,
2,
2,
2,
3,
3,
5,
4,
4,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
5,
3,
2,
4,
4,
3,
3,
3,
2,
6,
2,
3,
4,
3,
3,
3,
3,
2,
3,
3,
4,
4,
2,
5,
4,
2,
2,
5,
3,
2,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
1,
2,
5,
6,
4,
4,
4,
3,
2,
3,
2,
2,
2,
4,
4,
3,
5,
5,
6,
4,
2,
2,
2,
2,
6,
4,
4,
2,
2,
2,
2,
1,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
2,
5,
3,
5,
2,
4,
2,
3,
4,
4,
3,
3,
2,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
3,
2,
1,
6,
5,
3,
2,
2,
2,
2,
1,
2,
2,
4,
3,
3,
2,
4,
2,
2,
2,
2,
6,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
4,
4,
3,
2,
3,
10,
2,
2,
2,
4,
4,
3,
4,
2,
2,
5,
6,
2,
2,
4,
7,
4,
3,
4,
6,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
2,
3,
5,
7,
4,
3,
3,
2,
2,
3,
2,
2,
2,
2,
3,
3,
2,
3,
4,
3,
4,
4,
4,
3,
3,
3,
4,
4,
3,
4,
3,
3,
2,
2,
1,
1,
2,
4,
2,
4,
4,
4,
2,
2,
5,
6,
4,
7,
4,
4,
3,
2,
3,
4,
3,
3,
3,
4,
3,
3,
5,
3,
3,
3,
3,
4,
3,
3,
2,
2,
2,
2,
3,
2,
4,
4,
2,
5,
4,
6,
4,
4,
2,
1,
4,
3,
2,
2,
4,
2,
2,
2,
2,
2,
3,
5,
4,
5,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
3,
2,
3,
3,
3,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
4,
3,
3,
6,
3,
3,
3,
3,
3,
2,
2,
1,
2,
3,
3,
4,
4,
5,
3,
3,
3,
2,
3,
3,
2,
5,
5,
3,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
5,
3,
3,
2,
4,
4,
4,
5,
4,
4,
2,
3,
4,
2,
3,
2,
3,
4,
3,
3,
3,
2,
2,
4,
4,
3,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
7,
4,
4,
6,
4,
4,
4,
2,
3,
3,
3,
5,
2,
2,
2,
3,
4,
3,
2,
4,
4,
4,
5,
2,
4,
3,
2,
4,
2,
5,
2,
2,
2,
2,
4,
2,
3,
4,
4,
4,
2,
3,
2,
4,
2,
3,
4,
1,
2,
3,
2,
3,
2,
3,
3,
6,
3,
3,
3,
2,
1,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
2,
3,
3,
4,
2,
2,
2,
3,
3,
2,
2,
3,
1,
2,
4,
4,
4,
3,
4,
3,
3,
4,
4,
3,
3,
3,
3,
2,
7,
2,
2,
4,
3,
2,
2,
3,
2,
2,
7,
4,
2,
4,
2,
2,
4,
3,
4,
4,
4,
4,
2,
2,
3,
3,
2,
3,
3,
4,
4,
5,
5,
5,
4,
4,
4,
4,
4,
4,
4,
5,
3,
4,
4,
3,
3,
3,
2,
2,
6,
4,
4,
4,
4,
2,
2,
3,
4,
3,
3,
3,
2,
3,
3,
3,
2,
3,
4,
1,
1,
2,
2,
3,
4,
3,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
6,
5,
6,
3,
1,
2,
4,
2,
1,
1,
3,
4,
5,
2,
2,
3,
4,
2,
2,
2,
3,
4,
2,
3,
3,
3,
3,
2,
2,
4,
3,
2,
3,
2,
3,
2,
4,
5,
2,
6,
4,
4,
5,
4,
3,
4,
4,
4,
4,
3,
2,
5,
7,
2,
4,
3,
2,
2,
3,
3,
5,
4,
4,
4,
4,
3,
2,
4,
3,
2,
2,
4,
3,
4,
2,
2,
4,
4,
4,
1,
2,
2,
2,
3,
2,
3,
2,
4,
4,
4,
4,
4,
2,
5,
4,
3,
6,
2,
3,
2,
2,
2,
3,
3,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
2,
4,
4,
5,
8,
3,
5,
3,
2,
2,
2,
3,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
5,
5,
3,
2,
3,
4,
4,
4,
4,
4,
7,
4,
5,
2,
3,
3,
2,
2,
3,
2,
2,
3,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
6,
4,
4,
4,
4,
4,
2,
2,
4,
2,
3,
2,
5,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
7,
4,
4,
4,
4,
5,
4,
2,
2,
2,
2,
4,
3,
4,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
1,
4,
4,
4,
4,
1,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
3,
2,
2,
3,
4,
4,
2,
2,
3,
2,
3,
3,
4,
2,
2,
3,
2,
3,
3,
3,
3,
4,
2,
2,
4,
2,
2,
4,
4,
3,
4,
4,
4,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
2,
2,
3,
4,
2,
4,
4,
3,
3,
4,
2,
3,
2,
4,
2,
4,
4,
4,
4,
4,
4,
2,
4,
3,
2,
2,
2,
2,
3,
3,
3,
2,
4,
2,
2,
2,
3,
3,
6,
6,
2,
4,
4,
4,
2,
5,
3,
3,
3,
5,
3,
4,
2,
2,
2,
4,
4,
3,
5,
3,
6,
2,
3,
2,
3,
2,
4,
2,
3,
2,
5,
3,
2,
4,
3,
3,
5,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
3,
2,
3,
2,
3,
2,
2,
2,
5,
2,
4,
3,
1,
7,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
3,
3,
2,
4,
2,
5,
2,
2,
4,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
2,
2,
4,
2,
2,
3,
2,
2,
2,
3,
4,
4,
2,
6,
2,
4,
2,
5,
5,
5,
7,
4,
5,
4,
3,
4,
3,
2,
2,
3,
3,
4,
3,
3,
4,
4,
2,
3,
4,
4,
2,
2,
2,
1,
2,
3,
2,
2,
3,
3,
2,
2,
2,
2,
4,
6,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
1,
3,
4,
3,
2,
2,
3,
3,
2,
2,
2,
3,
3,
4,
4,
4,
4,
2,
4,
4,
2,
3,
3,
3,
2,
2,
3,
2,
3,
3,
1,
2,
2,
2,
2,
3,
4,
2,
3,
3,
3,
3,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
5,
2,
6,
2,
3,
7,
2,
2,
2,
2,
2,
4,
4,
4,
3,
3,
2,
9,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
5,
3,
5,
2,
3,
2,
2,
3,
2,
4,
3,
3,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
2,
7,
3,
3,
4,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
2,
3,
5,
2,
2,
4,
4,
4,
4,
5,
5,
3,
3,
3,
4,
4,
3,
3,
3,
5,
4,
2,
4,
2,
5,
4,
4,
4,
4,
4,
3,
4,
2,
2,
5,
5,
2,
3,
2,
3,
2,
3,
3,
4,
5,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
3,
3,
5,
3,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
6,
3,
5,
4,
6,
5,
5,
4,
4,
4,
4,
4,
5,
6,
5,
5,
5,
2,
2,
5,
5,
4,
3,
3,
2,
3,
4,
3,
3,
3,
3,
5,
3,
2,
2,
5,
5,
12,
2,
4,
4,
4,
3,
4,
4,
6,
4,
4,
2,
2,
4,
2,
4,
2,
2,
2,
3,
5,
2,
3,
3,
3,
3,
2,
2,
2,
5,
5,
3,
3,
3,
2,
4,
4,
3,
1,
2,
2,
2,
2,
7,
2,
2,
2,
3,
3,
2,
2,
3,
3,
4,
2,
2,
4,
4,
2,
4,
4,
2,
2,
3,
2,
4,
4,
4,
2,
4,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
1,
2,
2,
2,
3,
3,
3,
3,
3,
3,
1,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
2,
3,
3,
3,
2,
5,
4,
3,
2,
2,
2,
3,
3,
3,
3,
2,
1,
2,
4,
2,
3,
2,
3,
3,
3,
3,
2,
4,
3,
2,
4,
2,
2,
3,
3,
3,
2,
2,
3,
2,
2,
3,
2,
7,
6,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
5,
4,
4,
2,
4,
4,
3,
3,
3,
2,
3,
3,
3,
3,
4,
3,
3,
4,
3,
3,
3,
3,
4,
2,
1,
2,
2,
6,
4,
2,
2,
4,
2,
2,
3,
3,
3,
4,
4,
5,
6,
6,
4,
6,
6,
2,
4,
4,
3,
3,
3,
3,
3,
3,
6,
2,
2,
2,
4,
2,
7,
2,
5,
4,
2,
2,
4,
2,
5,
4,
4,
4,
2,
3,
2,
4,
3,
2,
2,
2,
3,
5,
2,
3,
5,
2,
1,
1,
2,
3,
4,
4,
3,
4,
6,
2,
3,
2,
4,
2,
5,
6,
6,
3,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
3,
4,
3,
2,
3,
3,
1,
1,
3,
1,
3,
5,
4,
2,
4,
6,
6,
3,
2,
2,
2,
3,
3,
4,
3,
5,
4,
4,
3,
5,
2,
4,
5,
2,
2,
6,
7,
4,
4,
3,
4,
4,
3,
2,
1,
2,
1,
4,
5,
1,
3,
3,
1,
3,
2,
2,
3,
2,
3,
4,
4,
4,
4,
2,
2,
3,
3,
2,
4,
4,
3,
3,
5,
2,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
2,
3,
2,
2,
2,
3,
4,
3,
6,
3,
2,
3,
2,
3,
3,
5,
5,
2,
5,
2,
4,
5,
3,
3,
3,
4,
3,
4,
2,
2,
2,
2,
5,
4,
3,
4,
4,
4,
5,
3,
7,
3,
4,
2,
4,
4,
3,
4,
4,
3,
5,
4,
4,
2,
2,
2,
4,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
4,
2,
4,
4,
4,
2,
2,
2,
2,
3,
4,
3,
2,
2,
4,
3,
2,
3,
3,
4,
3,
4,
3,
4,
4,
3,
2,
2,
3,
5,
2,
2,
2,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
1,
4,
3,
2,
2,
2,
2,
2,
10,
3,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
3,
4,
5,
4,
2,
2,
4,
2,
4,
4,
3,
4,
2,
4,
4,
4,
4,
4,
2,
3,
3,
3,
2,
3,
4,
3,
4,
3,
2,
2,
3,
5,
2,
4,
2,
3,
4,
5,
5,
5,
5,
3,
3,
3,
1,
3,
2,
2,
3,
2,
2,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
4,
3,
2,
4,
5,
5,
2,
2,
6,
5,
2,
3,
3,
3,
5,
4,
2,
5,
2,
2,
2,
4,
3,
3,
4,
2,
2,
2,
6,
2,
2,
2,
4,
5,
5,
3,
2,
4,
4,
2,
2,
4,
3,
3,
5,
3,
3,
2,
6,
2,
4,
2,
2,
2,
2,
2,
3,
4,
2,
2,
4,
7,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
3,
1,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
6,
4,
5,
2,
2,
4,
2,
2,
4,
4,
2,
3,
3,
2,
2,
2,
3,
5,
2,
3,
4,
4,
3,
2,
5,
4,
2,
3,
3,
3,
3,
2,
3,
3,
5,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
6,
3,
3,
2,
4,
5,
2,
3,
3,
4,
2,
2,
4,
4,
4,
3,
4,
3,
8,
4,
4,
3,
4,
4,
4,
3,
3,
3,
4,
3,
4,
3,
4,
4,
3,
3,
2,
2,
2,
3,
3,
2,
2,
5,
4,
4,
4,
4,
4,
3,
2,
2,
3,
3,
2,
3,
2,
3,
2,
2,
4,
4,
4,
4,
4,
5,
2,
1,
3,
4,
4,
4,
4,
3,
1,
2,
3,
2,
4,
3,
2,
2,
3,
1,
3,
3,
3,
4,
2,
2,
4,
3,
3,
2,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
4,
3,
3,
4,
4,
4,
6,
4,
4,
3,
3,
3,
3,
3,
2,
5,
3,
2,
5,
3,
2,
2,
1,
2,
3,
3,
3,
3,
3,
4,
3,
2,
3,
3,
4,
4,
3,
2,
2,
2,
2,
3,
2,
3,
2,
5,
5,
5,
2,
3,
4,
4,
4,
4,
4,
7,
7,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
2,
4,
2,
5,
3,
3,
3,
3,
5,
3,
3,
4,
3,
3,
3,
3,
3,
3,
5,
4,
4,
6,
3,
3,
5,
3,
4,
4,
2,
3,
2,
3,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
6,
6,
4,
6,
5,
4,
3,
3,
4,
5,
3,
3,
4,
2,
4,
3,
3,
4,
3,
3,
5,
4,
5,
3,
2,
3,
3,
3,
1,
4,
6,
4,
3,
2,
3,
3,
3,
2,
3,
5,
5,
1,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
4,
5,
5,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
1,
4,
2,
2,
2,
1,
2,
3,
3,
5,
4,
2,
4,
2,
3,
3,
2,
2,
4,
3,
2,
2,
2,
3,
2,
4,
2,
2,
2,
3,
6,
1,
2,
7,
4,
4,
3,
2,
2,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
3,
3,
4,
4,
2,
7,
4,
4,
4,
3,
2,
3,
2,
2,
4,
4,
2,
4,
6,
4,
4,
3,
5,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
4,
3,
2,
2,
4,
2,
2,
2,
4,
3,
4,
4,
4,
3,
2,
2,
2,
2,
2,
4,
2,
5,
4,
1,
4,
1,
2,
2,
2,
2,
2,
3,
4,
2,
2,
4,
4,
4,
2,
3,
4,
4,
4,
4,
3,
4,
2,
3,
2,
4,
4,
1,
2,
3,
3,
3,
4,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
3,
4,
4,
4,
3,
3,
2,
2,
2,
4,
4,
4,
2,
5,
3,
3,
3,
3,
4,
2,
2,
5,
4,
5,
3,
8,
5,
4,
2,
2,
4,
2,
2,
5,
6,
4,
3,
6,
7,
2,
4,
4,
3,
5,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
3,
3,
2,
4,
2,
3,
2,
2,
3,
2,
2,
2,
4,
3,
3,
4,
4,
2,
4,
1,
1,
11,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
1,
6,
5,
4,
5,
4,
4,
2,
3,
3,
3,
2,
2,
2,
3,
1,
2,
3,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
5,
4,
4,
3,
4,
4,
3,
3,
3,
2,
2,
4,
3,
3,
3,
1,
3,
3,
3,
4,
4,
5,
2,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
2,
1,
2,
5,
2,
5,
2,
6,
5,
5,
2,
5,
3,
2,
2,
2,
3,
2,
4,
5,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
3,
2,
2,
3,
4,
3,
3,
3,
2,
2,
2,
3,
4,
9,
2,
4,
4,
4,
4,
4,
4,
5,
4,
4,
2,
4,
2,
2,
2,
4,
2,
2,
4,
3,
2,
2,
3,
2,
2,
3,
3,
4,
3,
4,
2,
3,
5,
3,
2,
2,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
3,
3,
4,
5,
4,
3,
3,
3,
2,
3,
3,
2,
2,
4,
2,
2,
3,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
5,
2,
4,
3,
4,
3,
3,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
5,
3,
4,
3,
2,
3,
2,
2,
2,
4,
2,
2,
4,
1,
2,
2,
2,
2,
5,
3,
4,
3,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
3,
2,
2,
2,
3,
3,
2,
4,
3,
4,
2,
5,
3,
3,
3,
3,
3,
3,
5,
2,
2,
4,
4,
4,
4,
5,
2,
5,
3,
5,
2,
2,
4,
2,
5,
4,
3,
3,
4,
2,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
5,
2,
6,
5,
4,
4,
7,
9,
8,
6,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
7,
6,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
4,
5,
5,
3,
2,
3,
2,
4,
2,
2,
1,
2,
3,
3,
3,
3,
3,
5,
4,
3,
4,
2,
3,
3,
4,
2,
4,
4,
3,
2,
1,
2,
1,
3,
3,
4,
4,
4,
2,
5,
4,
5,
5,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
8,
4,
8,
3,
4,
6,
3,
4,
3,
4,
5,
3,
4,
3,
4,
4,
2,
3,
3,
4,
3,
2,
3,
3,
2,
2,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
1,
2,
2,
3,
2,
2,
4,
2,
2,
2,
3,
4,
1,
1,
3,
3,
3,
2,
3,
3,
3,
3,
2,
4,
4,
4,
4,
5,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
4,
3,
3,
3,
4,
3,
4,
4,
5,
4,
3,
2,
2,
4,
2,
3,
3,
3,
6,
2,
4,
4,
4,
3,
4,
4,
4,
5,
2,
3,
3,
3,
2,
2,
3,
5,
4,
3,
1,
3,
3,
4,
4,
4,
4,
7,
4,
4,
4,
3,
3,
3,
3,
2,
4,
4,
3,
3,
3,
4,
4,
2,
4,
3,
4,
1,
4,
4,
4,
5,
4,
2,
3,
2,
3,
2,
5,
2,
2,
2,
2,
2,
4,
3,
6,
4,
4,
2,
3,
2,
3,
1,
2,
4,
4,
2,
1,
2,
5,
3,
3,
2,
4,
4,
2,
4,
2,
4,
6,
4,
4,
4,
3,
3,
2,
3,
3,
4,
4,
2,
4,
4,
7,
4,
2,
5,
5,
2,
5,
4,
2,
2,
1,
2,
4,
2,
4,
4,
2,
2,
3,
3,
3,
5,
6,
3,
6,
2,
2,
6,
2,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
5,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
5,
2,
3,
2,
4,
2,
4,
4,
4,
4,
2,
3,
3,
4,
2,
5,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
2,
3,
4,
2,
2,
3,
3,
2,
2,
2,
2,
7,
4,
5,
3,
3,
2,
3,
5,
5,
3,
4,
5,
2,
3,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
4,
4,
3,
3,
3,
4,
2,
4,
4,
4,
3,
4,
4,
3,
4,
3,
1,
2,
3,
1,
4,
4,
2,
2,
6,
5,
2,
5,
4,
2,
2,
5,
3,
3,
4,
3,
4,
5,
3,
4,
3,
3,
4,
3,
4,
3,
4,
2,
3,
2,
4,
2,
2,
2,
3,
2,
5,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
2,
2,
2,
3,
4,
2,
4,
2,
4,
3,
2,
4,
4,
4,
3,
4,
4,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
4,
3,
4,
3,
3,
2,
4,
4,
4,
2,
3,
3,
3,
3,
4,
2,
3,
2,
2,
2,
2,
2,
3,
4,
4,
4,
3,
3,
3,
2,
2,
3,
4,
2,
4,
2,
4,
3,
2,
3,
4,
4,
4,
2,
3,
2,
4,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
2,
2,
4,
3,
4,
3,
4,
2,
8,
4,
4,
1,
3,
3,
6,
3,
7,
7,
2,
3,
5,
5,
2,
2,
2,
6,
2,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
3,
2,
2,
3,
3,
2,
2,
2,
4,
3,
3,
3,
2,
2,
3,
6,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
2,
2,
4,
2,
2,
3,
3,
2,
3,
3,
7,
4,
4,
4,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
4,
4,
4,
4,
2,
2,
2,
5,
2,
4,
2,
4,
4,
5,
3,
2,
4,
2,
2,
4,
2,
1,
2,
2,
2,
3,
3,
3,
6,
4,
6,
8,
3,
5,
4,
4,
4,
4,
3,
5,
3,
3,
3,
3,
3,
3,
5,
3,
2,
3,
3,
3,
4,
4,
4,
5,
5,
5,
4,
4,
4,
4,
4,
4,
2,
2,
2,
6,
4,
4,
4,
4,
4,
4,
5,
2,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
8,
7,
5,
6,
6,
5,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
4,
3,
4,
3,
3,
4,
5,
6,
3,
2,
3,
2,
4,
5,
3,
5,
4,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
2,
4,
2,
3,
2,
4,
2,
4,
3,
2,
4,
4,
4,
4,
5,
4,
2,
4,
3,
3,
3,
2,
4,
3,
3,
4,
4,
2,
4,
2,
5,
2,
3,
3,
2,
3,
3,
3,
3,
3,
4,
5,
2,
3,
2,
5,
5,
2,
3,
3,
4,
4,
4,
3,
4,
4,
3,
4,
4,
4,
2,
2,
2,
3,
4,
1,
3,
4,
2,
3,
3,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
4,
4,
3,
3,
3,
2,
3,
2,
2,
3,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
2,
2,
2,
5,
5,
5,
5,
2,
4,
6,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
2,
2,
5,
2,
3,
4,
3,
2,
4,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
3,
2,
2,
4,
3,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
6,
4,
3,
4,
4,
4,
5,
4,
2,
2,
2,
2,
3,
3,
3,
7,
4,
3,
4,
3,
1,
2,
4,
5,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
2,
4,
2,
4,
4,
5,
5,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
5,
2,
3,
3,
3,
3,
2,
5,
3,
5,
3,
2,
4,
4,
4,
4,
4,
2,
5,
4,
2,
2,
2,
4,
2,
2,
4,
5,
4,
4,
2,
4,
3,
2,
4,
4,
4,
3,
4,
2,
1,
3,
2,
2,
2,
4,
3,
6,
4,
2,
3,
3,
4,
4,
3,
3,
2,
4,
2,
3,
3,
3,
3,
4,
4,
2,
5,
4,
4,
6,
5,
4,
3,
4,
4,
2,
2,
2,
2,
2,
5,
2,
4,
3,
5,
3,
3,
5,
3,
3,
3,
4,
3,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
4,
3,
3,
4,
3,
3,
3,
4,
6,
3,
2,
2,
5,
3,
3,
3,
2,
2,
3,
3,
2,
4,
1,
4,
4,
6,
5,
6,
6,
4,
2,
2,
4,
5,
5,
2,
2,
2,
4,
2,
4,
5,
2,
2,
4,
2,
4,
4,
4,
3,
3,
3,
3,
5,
4,
4,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
4,
3,
3,
4,
2,
2,
2,
8,
4,
2,
2,
2,
2,
3,
3,
5,
4,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
3,
4,
4,
5,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
4,
2,
2,
4,
6,
3,
4,
3,
4,
2,
4,
2,
2,
3,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
3,
6,
4,
4,
5,
2,
2,
2,
1,
1,
2,
3,
3,
4,
4,
4,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
3,
3,
2,
3,
4,
4,
2,
2,
2,
4,
4,
2,
2,
2,
2,
4,
2,
4,
3,
3,
2,
3,
3,
2,
3,
3,
3,
4,
4,
3,
2,
4,
3,
2,
2,
2,
5,
3,
3,
3,
3,
3,
4,
3,
3,
2,
4,
4,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
3,
3,
3,
5,
3,
3,
2,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
2,
3,
5,
2,
2,
3,
3,
3,
4,
2,
3,
3,
2,
2,
3,
2,
2,
4,
2,
6,
2,
3,
4,
4,
5,
3,
3,
3,
4,
4,
3,
2,
5,
5,
2,
3,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
5,
2,
2,
3,
4,
2,
2,
4,
3,
2,
2,
4,
4,
4,
6,
5,
6,
5,
6,
6,
6,
4,
2,
3,
5,
4,
2,
4,
4,
4,
4,
2,
2,
3,
3,
4,
3,
2,
3,
3,
2,
4,
5,
5,
5,
3,
3,
2,
2,
4,
2,
3,
2,
2,
2,
6,
4,
2,
3,
3,
3,
4,
3,
4,
4,
4,
3,
4,
4,
4,
3,
3,
2,
4,
2,
4,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
2,
3,
4,
3,
4,
3,
3,
3,
3,
3,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
6,
3,
3,
3,
2,
1,
4,
2,
2,
4,
4,
4,
4,
4,
5,
4,
2,
3,
4,
2,
3,
4,
2,
2,
2,
2,
4,
4,
3,
2,
4,
4,
4,
4,
2,
3,
2,
4,
4,
4,
9,
4,
3,
4,
3,
4,
2,
2,
2,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
1,
2,
4,
4,
4,
4,
4,
2,
5,
3,
3,
2,
2,
2,
4,
3,
2,
6,
3,
6,
2,
3,
3,
6,
7,
4,
4,
4,
4,
5,
4,
1,
2,
3,
4,
3,
1,
3,
3,
5,
2,
2,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
3,
2,
2,
5,
3,
2,
3,
1,
4,
2,
2,
2,
2,
2,
2,
2,
5,
2,
3,
5,
4,
8,
4,
4,
4,
4,
5,
5,
5,
5,
6,
2,
5,
5,
2,
4,
2,
2,
3,
4,
5,
2,
4,
3,
4,
2,
2,
3,
3,
4,
4,
3,
3,
3,
3,
2,
4,
4,
3,
2,
3,
3,
3,
6,
3,
3,
4,
3,
5,
3,
3,
6,
4,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
5,
3,
2,
1,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
5,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
3,
2,
3,
2,
4,
2,
5,
3,
6,
3,
2,
2,
2,
2,
3,
2,
2,
5,
3,
4,
4,
2,
2,
3,
4,
4,
4,
4,
5,
2,
5,
3,
3,
3,
2,
2,
2,
2,
4,
3,
3,
3,
5,
2,
3,
3,
2,
6,
5,
2,
4,
4,
4,
4,
4,
4,
2,
7,
3,
5,
4,
7,
2,
2,
3,
5,
2,
3,
2,
4,
4,
4,
6,
2,
2,
6,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
4,
3,
4,
4,
5,
4,
3,
3,
2,
3,
4,
2,
5,
4,
3,
2,
2,
3,
4,
2,
4,
4,
5,
1,
3,
4,
4,
2,
2,
3,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
4,
2,
3,
2,
2,
2,
4,
4,
3,
3,
4,
2,
3,
3,
2,
2,
3,
2,
3,
2,
3,
3,
2,
2,
3,
2,
2,
3,
3,
3,
3,
4,
3,
3,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
5,
5,
5,
2,
3,
7,
6,
3,
3,
2,
3,
2,
2,
4,
3,
3,
3,
3,
5,
4,
2,
4,
3,
3,
4,
2,
4,
4,
4,
1,
3,
3,
4,
3,
3,
3,
3,
3,
3,
1,
4,
4,
4,
1,
2,
4,
4,
4,
3,
2,
4,
4,
2,
2,
4,
4,
4,
3,
4,
3,
3,
4,
2,
4,
2,
4,
3,
4,
2,
4,
3,
3,
3,
5,
5,
3,
2,
3,
3,
7,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
6,
3,
4,
4,
5,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
3,
3,
2,
3,
4,
2,
3,
2,
4,
2,
3,
3,
3,
4,
4,
4,
3,
6,
1,
2,
4,
4,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
3,
5,
5,
5,
4,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
3,
3,
3,
3,
4,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
2,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
3,
2,
3,
2,
2,
2,
2,
5,
7,
2,
2,
2,
4,
4,
3,
4,
2,
4,
5,
3,
3,
6,
2,
3,
8,
4,
4,
2,
4,
4,
4,
2,
4,
2,
4,
2,
4,
3,
1,
5,
3,
3,
3,
3,
2,
3,
3,
5,
2,
3,
3,
7,
3,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
5,
6,
5,
3,
4,
2,
2,
2,
3,
2,
2,
2,
4,
2,
2,
3,
2,
2,
3,
2,
2,
4,
4,
4,
7,
2,
4,
3,
3,
2,
2,
5,
3,
3,
3,
3,
3,
4,
4,
3,
4,
4,
3,
2,
3,
3,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
1,
2,
2,
2,
2,
4,
2,
4,
2,
3,
3,
2,
2,
2,
4,
2,
5,
2,
2,
2,
3,
5,
5,
3,
3,
4,
5,
3,
3,
3,
3,
5,
5,
3,
3,
4,
3,
3,
3,
3,
3,
2,
4,
2,
4,
2,
7,
3,
3,
4,
6,
3,
3,
2,
6,
2,
4,
4,
2,
2,
2,
4,
3,
2,
3,
3,
3,
3,
3,
4,
3,
3,
2,
4,
2,
4,
3,
3,
2,
7,
4,
8,
4,
5,
6,
6,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
2,
4,
4,
4,
5,
2,
3,
2,
3,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
3,
4,
4,
4,
4,
4,
2,
3,
1,
4,
4,
2,
3,
3,
4,
2,
3,
2,
3,
4,
2,
3,
2,
3,
2,
2,
2,
2,
3,
4,
2,
2,
3,
3,
2,
4,
4,
4,
6,
1,
4,
4,
4,
2,
3,
3,
2,
3,
5,
2,
2,
6,
9,
3,
7,
2,
3,
3,
2,
2,
4,
4,
2,
6,
3,
4,
4,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
2,
3,
2,
2,
3,
3,
4,
8,
3,
3,
4,
3,
3,
4,
5,
4,
3,
3,
2,
5,
4,
3,
4,
3,
2,
2,
3,
3,
3,
3,
3,
4,
3,
6,
6,
4,
4,
4,
3,
3,
2,
3,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
3,
2,
4,
3,
3,
4,
3,
4,
2,
3,
6,
4,
2,
7,
4,
2,
2,
2,
3,
3,
2,
6,
4,
4,
4,
2,
2,
2,
4,
4,
4,
5,
2,
3,
5,
5,
2,
2,
4,
2,
3,
3,
2,
2,
2,
4,
2,
2,
2,
3,
3,
4,
2,
3,
3,
4,
2,
3,
2,
2,
2,
2,
2,
4,
4,
2,
2,
5,
3,
4,
4,
4,
5,
4,
3,
6,
5,
6,
6,
6,
4,
2,
2,
6,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
6,
2,
5,
3,
2,
2,
2,
4,
2,
2,
4,
4,
4,
4,
2,
2,
2,
5,
2,
4,
3,
3,
3,
3,
3,
2,
2,
4,
2,
3,
3,
1,
2,
3,
3,
3,
2,
2,
5,
2,
6,
4,
2,
8,
2,
4,
4,
2,
2,
2,
4,
3,
4,
4,
2,
4,
4,
3,
2,
3,
3,
2,
4,
4,
3,
2,
4,
4,
5,
5,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
6,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
3,
3,
2,
3,
2,
2,
5,
2,
4,
2,
2,
2,
2,
1,
2,
2,
6,
6,
4,
4,
4,
4,
3,
3,
1,
3,
4,
1,
4,
5,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
3,
3,
4,
4,
4,
3,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
3,
5,
3,
4,
2,
2,
4,
4,
4,
2,
6,
2,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
7,
2,
4,
2,
2,
4,
2,
4,
4,
4,
2,
2,
2,
3,
3,
2,
4,
2,
3,
2,
3,
3,
3,
3,
3,
4,
2,
3,
3,
4,
3,
2,
2,
3,
7,
4,
4,
4,
4,
5,
4,
2,
2,
3,
3,
3,
2,
3,
2,
4,
4,
2,
3,
3,
3,
2,
4,
4,
3,
6,
4,
4,
4,
4,
2,
2,
6,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
1,
2,
4,
3,
4,
4,
3,
4,
5,
4,
2,
2,
6,
4,
4,
3,
2,
5,
2,
6,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
3,
2,
3,
2,
2,
3,
1,
3,
2,
5,
4,
3,
4,
4,
4,
2,
2,
3,
5,
4,
2,
3,
3,
4,
6,
4,
4,
4,
3,
3,
4,
6,
4,
5,
2,
3,
2,
3,
3,
4,
3,
3,
2,
3,
4,
5,
4,
2,
2,
1,
4,
4,
6,
6,
3,
3,
4,
5,
3,
3,
4,
4,
4,
2,
4,
2,
4,
3,
2,
6,
4,
3,
4,
2,
2,
5,
2,
2,
4,
4,
4,
5,
5,
4,
3,
4,
3,
3,
4,
4,
4,
4,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
4,
3,
3,
4,
4,
4,
4,
2,
4,
5,
8,
4,
3,
3,
2,
3,
2,
4,
1,
2,
1,
3,
2,
2,
3,
3,
2,
2,
2,
2,
3,
4,
3,
3,
4,
5,
3,
4,
3,
4,
3,
4,
4,
4,
3,
5,
5,
2,
2,
2,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
2,
4,
4,
2,
6,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
4,
4,
3,
2,
2,
3,
2,
2,
4,
3,
3,
2,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
2,
3,
3,
3,
1,
2,
3,
3,
3,
2,
2,
2,
6,
2,
2,
2,
2,
2,
2,
5,
2,
4,
3,
2,
2,
3,
7,
3,
4,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
4,
4,
4,
5,
5,
5,
5,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
1,
3,
2,
2,
2,
2,
3,
2,
4,
5,
4,
4,
4,
3,
2,
3,
4,
4,
4,
4,
3,
4,
3,
2,
3,
3,
2,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
3,
5,
4,
2,
3,
6,
2,
2,
3,
2,
3,
3,
2,
1,
3,
2,
3,
3,
4,
4,
3,
2,
3,
2,
5,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
4,
3,
2,
4,
2,
2,
2,
3,
3,
3,
3,
1,
2,
2,
2,
2,
3,
3,
4,
2,
6,
4,
3,
5,
2,
2,
2,
3,
2,
3,
3,
3,
4,
5,
4,
4,
4,
4,
3,
4,
2,
4,
3,
2,
2,
2,
3,
2,
3,
2,
2,
2,
4,
4,
2,
2,
4,
2,
3,
2,
2,
3,
7,
2,
3,
4,
3,
3,
3,
5,
4,
3,
2,
2,
4,
4,
4,
4,
3,
2,
2,
3,
4,
3,
3,
4,
4,
2,
3,
4,
4,
3,
2,
3,
3,
2,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
3,
2,
4,
4,
4,
3,
4,
4,
4,
2,
2,
3,
4,
4,
4,
5,
2,
4,
4,
4,
7,
2,
3,
4,
2,
3,
3,
3,
3,
2,
2,
4,
5,
4,
3,
6,
4,
2,
2,
5,
2,
7,
5,
2,
2,
2,
2,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
5,
2,
2,
3,
3,
8,
2,
3,
2,
2,
4,
4,
4,
3,
5,
5,
2,
6,
2,
4,
4,
2,
4,
2,
4,
3,
2,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
2,
2,
4,
2,
3,
1,
3,
3,
2,
7,
4,
4,
2,
3,
3,
3,
3,
2,
4,
4,
3,
4,
2,
2,
4,
4,
3,
2,
2,
3,
3,
3,
1,
3,
3,
2,
2,
2,
3,
3,
5,
3,
4,
3,
3,
5,
5,
5,
5,
5,
2,
6,
4,
4,
2,
4,
4,
2,
2,
4,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
5,
4,
4,
5,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
3,
3,
4,
5,
4,
2,
2,
2,
2,
2,
3,
5,
2,
5,
2,
2,
4,
4,
7,
9,
4,
2,
5,
2,
2,
2,
2,
2,
1,
3,
4,
3,
3,
5,
5,
2,
3,
5,
3,
2,
2,
2,
3,
2,
3,
2,
4,
3,
2,
2,
3,
2,
5,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
4,
4,
4,
2,
3,
2,
4,
3,
4,
4,
2,
4,
3,
2,
3,
4,
6,
2,
2,
2,
1,
5,
3,
2,
2,
3,
3,
2,
4,
4,
2,
2,
3,
2,
2,
4,
6,
2,
4,
2,
3,
4,
3,
2,
3,
2,
3,
2,
3,
4,
4,
4,
4,
4,
3,
3,
3,
4,
3,
3,
3,
3,
3,
5,
3,
3,
3,
3,
5,
4,
2,
3,
2,
5,
3,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
5,
2,
4,
2,
2,
8,
4,
3,
3,
3,
3,
3,
2,
2,
4,
4,
6,
6,
6,
6,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
1,
2,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
2,
3,
3,
1,
2,
2,
2,
2,
3,
2,
3,
3,
4,
4,
2,
4,
4,
4,
2,
2,
2,
3,
4,
4,
6,
5,
1,
4,
3,
4,
1,
4,
5,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
3,
4,
4,
4,
3,
3,
4,
4,
4,
3,
3,
3,
2,
3,
2,
2,
3,
2,
4,
4,
4,
4,
2,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
5,
4,
6,
4,
2,
2,
2,
3,
4,
2,
4,
2,
4,
2,
3,
3,
4,
3,
2,
5,
2,
2,
3,
3,
3,
2,
3,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
4,
2,
4,
4,
2,
4,
2,
4,
4,
2,
3,
3,
2,
3,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
1,
3,
3,
6,
2,
3,
4,
4,
4,
2,
3,
3,
4,
4,
2,
2,
3,
2,
4,
3,
5,
3,
2,
3,
3,
4,
2,
2,
6,
3,
3,
1,
3,
4,
4,
4,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
2,
1,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
5,
4,
2,
2,
4,
2,
4,
4,
3,
4,
3,
5,
2,
5,
5,
2,
3,
3,
5,
3,
3,
2,
6,
2,
2,
2,
2,
3,
2,
2,
2,
5,
4,
2,
5,
2,
3,
2,
5,
2,
3,
3,
6,
5,
4,
3,
5,
3,
3,
2,
2,
2,
2,
2,
9,
5,
3,
2,
4,
1,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
7,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
2,
2,
2,
2,
5,
2,
3,
2,
4,
3,
4,
2,
2,
4,
2,
5,
2,
2,
2,
2,
3,
3,
4,
3,
2,
4,
3,
5,
3,
3,
4,
3,
3,
2,
4,
3,
4,
3,
5,
2,
2,
2,
2,
4,
3,
3,
3,
2,
3,
4,
4,
2,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
6,
2,
3,
3,
2,
2,
3,
3,
4,
3,
3,
6,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
3,
2,
2,
2,
7,
3,
2,
6,
2,
2,
2,
8,
3,
3,
3,
4,
5,
4,
4,
3,
3,
2,
2,
4,
5,
2,
2,
2,
4,
2,
2,
4,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
1,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
6,
2,
3,
3,
3,
5,
4,
2,
6,
3,
3,
3,
4,
4,
5,
3,
3,
6,
2,
6,
3,
3,
3,
3,
4,
3,
2,
4,
4,
4,
4,
4,
3,
4,
2,
5,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
5,
3,
3,
4,
4,
3,
4,
3,
5,
2,
3,
4,
2,
2,
4,
6,
5,
2,
2,
2,
3,
2,
4,
2,
4,
4,
2,
4,
4,
4,
2,
3,
3,
2,
3,
2,
5,
2,
2,
3,
1,
4,
3,
4,
2,
2,
6,
3,
2,
3,
6,
4,
4,
2,
2,
3,
3,
3,
5,
3,
3,
3,
3,
4,
2,
3,
2,
2,
3,
4,
3,
6,
2,
6,
4,
2,
5,
5,
2,
2,
7,
2,
2,
4,
5,
4,
4,
5,
3,
5,
8,
1,
3,
3,
2,
3,
3,
2,
3,
3,
3,
2,
1,
2,
3,
3,
3,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
3,
3,
2,
3,
4,
3,
5,
3,
3,
4,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
1,
2,
3,
3,
5,
2,
1,
3,
3,
2,
2,
2,
1,
2,
4,
2,
3,
3,
3,
3,
3,
3,
4,
5,
3,
3,
3,
3,
3,
2,
3,
2,
3,
3,
6,
3,
2,
2,
3,
3,
3,
2,
3,
2,
2,
3,
2,
2,
3,
2,
2,
3,
2,
2,
3,
3,
2,
3,
3,
3,
2,
4,
4,
4,
7,
3,
3,
3,
4,
4,
3,
2,
2,
3,
4,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
1,
2,
2,
4,
2,
2,
4,
4,
3,
4,
3,
3,
4,
4,
3,
6,
5,
5,
2,
3,
5,
3,
4,
3,
4,
3,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
1,
2,
3,
3,
3,
3,
4,
4,
4,
4,
2,
3,
3,
4,
2,
2,
2,
3,
2,
3,
2,
3,
4,
3,
3,
2,
2,
3,
3,
2,
2,
4,
4,
3,
4,
2,
2,
2,
3,
3,
2,
2,
4,
7,
5,
4,
4,
5,
4,
5,
3,
2,
4,
2,
2,
4,
4,
4,
3,
3,
4,
3,
4,
5,
2,
2,
4,
6,
3,
3,
2,
2,
3,
6,
2,
3,
4,
4,
2,
3,
3,
3,
2,
1,
4,
5,
2,
4,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
5,
3,
3,
3,
3,
4,
4,
3,
3,
5,
3,
2,
4,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
2,
2,
6,
3,
5,
4,
5,
3,
2,
4,
3,
4,
4,
4,
2,
2,
3,
4,
3,
2,
4,
1,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
5,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
2,
2,
3,
5,
5,
7,
2,
2,
2,
4,
2,
4,
2,
4,
3,
3,
4,
5,
3,
3,
3,
3,
3,
3,
4,
3,
4,
2,
5,
3,
6,
2,
4,
4,
4,
2,
2,
4,
2,
4,
4,
2,
4,
3,
4,
3,
2,
2,
3,
4,
4,
4,
4,
4,
3,
4,
4,
2,
4,
2,
2,
4,
2,
4,
3,
3,
3,
3,
6,
4,
2,
2,
3,
3,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
5,
2,
2,
3,
3,
2,
2,
2,
5,
1,
2,
2,
3,
2,
2,
3,
5,
4,
4,
3,
4,
4,
4,
4,
2,
2,
4,
3,
3,
4,
3,
3,
3,
2,
4,
4,
2,
3,
5,
2,
4,
3,
3,
2,
3,
2,
4,
3,
4,
3,
3,
2,
2,
3,
3,
4,
4,
3,
5,
4,
2,
4,
2,
3,
5,
2,
2,
3,
4,
2,
2,
2,
6,
2,
2,
2,
2,
4,
3,
3,
4,
3,
2,
4,
4,
3,
5,
2,
2,
5,
4,
2,
4,
3,
2,
4,
2,
3,
2,
5,
6,
3,
5,
6,
4,
2,
2,
3,
4,
3,
4,
3,
3,
4,
4,
2,
2,
3,
3,
3,
3,
4,
2,
3,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
5,
2,
2,
2,
3,
3,
4,
7,
2,
4,
2,
4,
3,
3,
4,
1,
4,
7,
4,
3,
3,
3,
3,
3,
2,
4,
4,
2,
2,
3,
3,
3,
3,
3,
2,
2,
4,
4,
3,
4,
3,
2,
2,
2,
4,
2,
5,
2,
4,
2,
4,
6,
2,
3,
2,
2,
2,
3,
3,
2,
3,
2,
2,
2,
2,
4,
3,
2,
3,
4,
3,
6,
4,
2,
2,
2,
1,
3,
2,
2,
3,
2,
3,
3,
2,
3,
2,
2,
2,
4,
2,
3,
4,
4,
4,
1,
3,
4,
4,
4,
3,
2,
2,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
6,
5,
4,
4,
3,
3,
3,
4,
2,
4,
4,
3,
2,
6,
2,
5,
3,
5,
2,
2,
2,
5,
2,
3,
5,
4,
5,
3,
2,
3,
3,
2,
2,
2,
4,
3,
4,
4,
4,
3,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
2,
5,
2,
4,
2,
2,
4,
4,
2,
3,
4,
2,
2,
3,
7,
5,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
1,
4,
4,
4,
4,
3,
4,
3,
3,
3,
4,
2,
5,
3,
2,
3,
4,
3,
3,
3,
4,
3,
3,
2,
3,
2,
3,
4,
2,
4,
2,
4,
5,
4,
4,
3,
4,
3,
3,
7,
3,
2,
2,
3,
4,
4,
4,
3,
3,
3,
2,
3,
3,
3,
3,
2,
3,
6,
3,
3,
3,
3,
3,
2,
4,
4,
5,
3,
3,
1,
3,
3,
2,
3,
3,
7,
4,
2,
4,
2,
3,
2,
2,
4,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
2,
2,
1,
2,
2,
4,
3,
3,
3,
4,
6,
4,
2,
5,
5,
7,
5,
5,
5,
5,
5,
5,
4,
4,
3,
3,
2,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
3,
4,
4,
3,
4,
3,
2,
3,
2,
6,
6,
5,
6,
4,
1,
3,
3,
2,
1,
3,
3,
3,
3,
4,
2,
4,
2,
3,
2,
5,
4,
3,
2,
4,
4,
4,
4,
2,
4,
3,
3,
2,
2,
3,
3,
2,
2,
5,
4,
2,
2,
2,
3,
6,
6,
3,
3,
4,
3,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
1,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
3,
2,
2,
2,
4,
2,
3,
2,
3,
4,
5,
4,
3,
5,
3,
2,
2,
2,
2,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
5,
2,
4,
3,
4,
4,
4,
4,
3,
3,
2,
3,
2,
4,
4,
4,
2,
2,
4,
4,
4,
3,
3,
3,
4,
2,
3,
3,
2,
3,
4,
5,
2,
2,
3,
2,
4,
4,
4,
3,
3,
3,
2,
4,
2,
2,
3,
4,
3,
2,
4,
3,
2,
4,
5,
4,
2,
4,
3,
2,
2,
3,
3,
2,
2,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
3,
3,
7,
2,
2,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
2,
2,
2,
2,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
3,
3,
2,
4,
2,
4,
2,
4,
3,
4,
2,
3,
3,
2,
2,
2,
4,
3,
2,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
5,
3,
2,
3,
2,
4,
4,
3,
6,
4,
3,
4,
5,
4,
3,
4,
3,
3,
3,
4,
3,
2,
2,
3,
2,
3,
4,
2,
2,
3,
2,
2,
7,
4,
4,
2,
2,
2,
4,
2,
5,
2,
2,
2,
2,
3,
2,
5,
3,
2,
3,
2,
2,
3,
4,
3,
3,
2,
4,
4,
2,
3,
2,
2,
2,
5,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
2,
3,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
4,
2,
3,
3,
2,
2,
2,
4,
2,
6,
4,
4,
2,
2,
2,
2,
4,
4,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
3,
2,
4,
3,
3,
4,
3,
4,
3,
2,
3,
3,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
5,
4,
2,
2,
2,
3,
3,
4,
2,
4,
4,
3,
4,
8,
4,
3,
2,
2,
2,
4,
3,
4,
4,
4,
10,
4,
2,
6,
3,
4,
4,
2,
5,
2,
3,
2,
2,
4,
4,
4,
3,
2,
5,
2,
2,
5,
3,
2,
4,
3,
3,
4,
4,
2,
2,
2,
2,
4,
4,
2,
3,
3,
3,
2,
1,
2,
3,
4,
3,
3,
2,
2,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
2,
3,
2,
4,
2,
4,
4,
5,
4,
6,
2,
2,
3,
3,
4,
3,
3,
2,
3,
4,
2,
4,
2,
5,
3,
5,
3,
4,
2,
4,
4,
4,
4,
3,
4,
4,
4,
2,
2,
2,
4,
2,
4,
4,
4,
3,
4,
4,
4,
5,
4,
5,
5,
3,
3,
3,
2,
3,
4,
4,
2,
2,
2,
4,
2,
3,
6,
8,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
1,
2,
3,
2,
4,
5,
4,
4,
2,
4,
2,
4,
2,
2,
6,
3,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
2,
7,
4,
3,
4,
4,
2,
5,
3,
3,
7,
3,
4,
4,
2,
2,
3,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
5,
5,
5,
3,
4,
6,
4,
4,
4,
4,
4,
2,
2,
3,
1,
2,
3,
3,
2,
3,
3,
3,
6,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
2,
4,
4,
4,
3,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
3,
4,
2,
5,
4,
4,
4,
5,
4,
4,
4,
2,
6,
2,
3,
4,
4,
4,
3,
3,
4,
2,
3,
2,
3,
3,
2,
4,
2,
3,
2,
4,
6,
4,
3,
2,
3,
5,
3,
3,
3,
2,
4,
4,
3,
3,
2,
2,
2,
2,
4,
4,
9,
4,
6,
5,
3,
2,
2,
2,
2,
5,
3,
4,
3,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
3,
2,
4,
2,
4,
3,
4,
2,
2,
3,
3,
3,
2,
2,
5,
3,
3,
3,
2,
2,
2,
3,
2,
4,
2,
5,
1,
1,
4,
3,
2,
3,
2,
2,
2,
4,
2,
3,
1,
2,
1,
2,
3,
2,
3,
4,
6,
3,
4,
4,
4,
4,
4,
4,
6,
2,
3,
4,
3,
4,
7,
7,
2,
5,
6,
7,
7,
6,
3,
3,
2,
2,
2,
3,
2,
2,
3,
2,
7,
4,
4,
4,
2,
5,
3,
4,
3,
5,
3,
2,
4,
2,
4,
3,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
2,
2,
4,
2,
2,
3,
3,
3,
3,
4,
4,
6,
3,
3,
4,
2,
2,
6,
4,
4,
4,
4,
4,
4,
5,
3,
3,
4,
4,
4,
4,
3,
3,
2,
3,
4,
4,
4,
2,
3,
2,
5,
3,
5,
2,
4,
4,
5,
2,
3,
3,
3,
4,
3,
1,
3,
2,
1,
5,
2,
4,
5,
2,
4,
4,
5,
4,
5,
2,
2,
2,
7,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
3,
4,
3,
4,
3,
4,
4,
3,
4,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
5,
1,
2,
6,
3,
3,
3,
3,
3,
3,
5,
4,
3,
3,
3,
2,
3,
2,
1,
2,
4,
4,
2,
4,
4,
4,
4,
2,
2,
1,
3,
3,
3,
3,
1,
3,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
3,
3,
4,
2,
2,
3,
4,
2,
3,
2,
3,
3,
3,
3,
2,
4,
3,
4,
4,
3,
2,
3,
4,
3,
2,
5,
3,
2,
2,
3,
3,
5,
4,
5,
2,
3,
2,
3,
4,
3,
5,
2,
3,
3,
3,
2,
4,
3,
2,
3,
2,
3,
1,
1,
2,
2,
2,
4,
4,
4,
4,
5,
2,
6,
3,
3,
3,
3,
4,
3,
5,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
4,
2,
2,
2,
4,
4,
2,
4,
4,
3,
2,
4,
4,
2,
4,
4,
4,
4,
5,
2,
6,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
1,
4,
3,
4,
4,
4,
4,
2,
1,
2,
3,
2,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
4,
3,
4,
2,
2,
4,
2,
3,
2,
3,
3,
2,
2,
2,
4,
2,
2,
3,
2,
3,
3,
2,
2,
2,
2,
2,
4,
3,
3,
2,
2,
4,
4,
4,
4,
3,
3,
3,
4,
2,
3,
2,
3,
2,
3,
4,
1,
4,
2,
4,
2,
3,
4,
2,
2,
2,
3,
3,
2,
2,
3,
2,
3,
3,
2,
3,
2,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
4,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
3,
2,
4,
4,
4,
3,
3,
4,
2,
4,
5,
3,
2,
2,
3,
2,
6,
3,
3,
2,
5,
2,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
6,
3,
4,
3,
4,
3,
3,
4,
4,
2,
2,
2,
4,
4,
4,
4,
3,
3,
2,
4,
2,
2,
2,
4,
5,
2,
7,
4,
4,
4,
4,
4,
2,
3,
2,
4,
5,
5,
4,
4,
3,
5,
6,
3,
2,
3,
3,
5,
3,
3,
2,
2,
2,
4,
4,
5,
4,
3,
3,
4,
3,
4,
3,
3,
4,
3,
2,
2,
3,
3,
3,
2,
4,
2,
3,
4,
2,
3,
2,
3,
3,
2,
4,
2,
4,
2,
4,
4,
5,
4,
4,
4,
6,
2,
2,
4,
4,
4,
4,
4,
4,
4,
5,
5,
3,
2,
4,
4,
1,
1,
5,
3,
3,
5,
4,
2,
3,
3,
3,
3,
3,
4,
3,
3,
4,
2,
4,
4,
4,
4,
5,
8,
4,
3,
3,
3,
3,
2,
3,
4,
4,
2,
2,
2,
5,
2,
2,
4,
3,
3,
2,
3,
4,
2,
3,
3,
3,
2,
3,
3,
4,
4,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
4,
3,
4,
3,
3,
3,
3,
3,
3,
2,
2,
6,
3,
2,
2,
4,
4,
3,
4,
2,
3,
2,
2,
4,
3,
3,
4,
4,
2,
2,
2,
5,
4,
2,
2,
2,
2,
2,
3,
2,
4,
3,
2,
3,
3,
3,
5,
3,
5,
2,
4,
2,
5,
4,
2,
2,
2,
2,
4,
4,
3,
5,
4,
5,
4,
2,
4,
5,
2,
4,
4,
2,
2,
4,
2,
3,
3,
2,
2,
2,
6,
4,
4,
4,
3,
3,
3,
3,
4,
2,
3,
3,
4,
4,
2,
3,
3,
3,
2,
2,
3,
4,
6,
2,
5,
2,
2,
3,
3,
2,
2,
3,
5,
3,
3,
3,
3,
3,
4,
4,
2,
3,
3,
3,
2,
4,
5,
4,
2,
2,
2,
3,
2,
4,
3,
3,
5,
5,
4,
4,
3,
4,
3,
4,
2,
4,
6,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
6,
5,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
1,
3,
1,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
4,
4,
3,
2,
3,
5,
2,
4,
5,
5,
4,
2,
2,
2,
2,
4,
10,
4,
2,
4,
4,
6,
4,
4,
4,
4,
4,
6,
5,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
5,
5,
4,
2,
2,
3,
2,
4,
4,
4,
4,
3,
3,
4,
5,
4,
3,
2,
3,
2,
3,
3,
4,
2,
3,
4,
3,
4,
2,
2,
2,
4,
2,
2,
2,
5,
3,
3,
3,
2,
3,
3,
5,
5,
6,
5,
4,
4,
4,
2,
4,
4,
5,
2,
2,
2,
2,
2,
3,
2,
5,
1,
1,
1,
2,
2,
3,
4,
4,
2,
2,
2,
3,
4,
4,
2,
2,
3,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
4,
5,
3,
3,
4,
4,
4,
2,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
5,
3,
4,
2,
3,
1,
2,
5,
2,
5,
4,
4,
4,
2,
2,
3,
4,
3,
2,
2,
4,
4,
3,
4,
3,
3,
3,
2,
4,
2,
5,
2,
4,
5,
2,
3,
3,
2,
4,
4,
4,
4,
3,
3,
2,
6,
3,
3,
5,
5,
4,
5,
3,
3,
3,
6,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
5,
5,
2,
2,
4,
2,
2,
2,
2,
4,
4,
3,
2,
5,
5,
4,
4,
3,
4,
3,
4,
2,
2,
4,
2,
4,
2,
2,
2,
2,
2,
3,
4,
2,
2,
3,
5,
2,
2,
2,
3,
1,
3,
2,
2,
2,
2,
2,
5,
3,
2,
2,
2,
1,
2,
3,
2,
3,
2,
2,
2,
2,
5,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
5,
2,
3,
3,
4,
4,
3,
2,
2,
4,
4,
4,
2,
3,
4,
2,
5,
1,
5,
3,
2,
2,
3,
2,
4,
2,
2,
2,
3,
5,
2,
5,
2,
2,
3,
2,
2,
4,
3,
3,
4,
2,
4,
5,
4,
3,
6,
2,
2,
4,
4,
2,
3,
2,
3,
4,
4,
4,
4,
2,
1,
4,
2,
2,
4,
3,
5,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
2,
3,
3,
2,
4,
2,
4,
1,
3,
2,
2,
2,
4,
3,
3,
3,
5,
3,
5,
2,
5,
5,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
5,
2,
5,
1,
3,
4,
2,
2,
3,
3,
4,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
2,
3,
5,
7,
2,
4,
4,
4,
3,
3,
3,
3,
9,
3,
3,
3,
3,
3,
2,
1,
3,
3,
4,
4,
4,
3,
5,
2,
2,
2,
3,
4,
2,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
5,
4,
4,
3,
4,
4,
2,
4,
2,
3,
4,
4,
4,
2,
4,
4,
1,
4,
2,
4,
3,
3,
1,
2,
3,
1,
1,
1,
1,
1,
2,
4,
4,
4,
6,
2,
4,
4,
2,
3,
3,
2,
1,
3,
3,
1,
1,
4,
5,
4,
4,
4,
4,
3,
4,
3,
6,
4,
4,
3,
2,
2,
2,
2,
4,
2,
4,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
4,
3,
4,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
3,
2,
3,
4,
2,
4,
4,
4,
3,
4,
4,
4,
4,
3,
2,
5,
2,
3,
3,
3,
3,
3,
3,
5,
4,
4,
2,
5,
2,
2,
2,
2,
3,
4,
2,
3,
2,
3,
2,
2,
3,
2,
8,
1,
3,
3,
5,
2,
3,
7,
1,
4,
2,
2,
2,
2,
3,
5,
3,
3,
3,
4,
4,
4,
2,
2,
4,
3,
2,
4,
3,
2,
2,
4,
2,
2,
4,
3,
3,
2,
3,
2,
2,
2,
4,
4,
2,
2,
5,
3,
2,
4,
2,
1,
2,
1,
1,
2,
1,
4,
4,
4,
2,
3,
5,
3,
4,
3,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
1,
4,
4,
4,
4,
4,
5,
2,
2,
4,
2,
2,
3,
2,
2,
2,
5,
4,
2,
3,
2,
4,
4,
2,
4,
3,
3,
2,
3,
3,
3,
4,
4,
3,
3,
5,
5,
6,
3,
3,
2,
3,
3,
3,
4,
2,
5,
2,
4,
4,
2,
3,
4,
6,
2,
2,
3,
2,
4,
2,
3,
5,
2,
4,
2,
3,
3,
5,
3,
3,
5,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
4,
4,
2,
2,
5,
3,
2,
2,
2,
2,
2,
3,
4,
3,
2,
3,
2,
1,
2,
2,
2,
2,
4,
2,
5,
3,
3,
2,
2,
2,
3,
5,
3,
3,
7,
2,
2,
2,
2,
4,
3,
4,
4,
4,
5,
6,
4,
2,
4,
2,
2,
3,
4,
3,
2,
2,
4,
2,
3,
3,
2,
3,
3,
2,
8,
5,
5,
5,
5,
5,
8,
4,
5,
2,
4,
4,
2,
2,
4,
2,
3,
2,
4,
2,
4,
3,
4,
6,
3,
4,
2,
2,
3,
2,
3,
3,
2,
2,
3,
1,
1,
2,
2,
4,
5,
2,
2,
2,
4,
2,
3,
4,
3,
3,
3,
3,
2,
2,
4,
2,
4,
3,
2,
2,
4,
6,
4,
4,
3,
4,
4,
6,
4,
4,
4,
4,
4,
3,
3,
3,
2,
4,
4,
4,
5,
3,
3,
3,
4,
4,
2,
4,
3,
5,
4,
3,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
4,
6,
4,
4,
2,
6,
6,
2,
5,
3,
7,
3,
3,
3,
4,
4,
4,
3,
5,
5,
4,
4,
3,
3,
2,
11,
4,
2,
2,
5,
4,
4,
3,
1,
5,
3,
5,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
3,
2,
4,
2,
4,
3,
2,
4,
4,
3,
6,
3,
4,
4,
2,
2,
3,
3,
2,
2,
1,
3,
4,
2,
2,
2,
3,
1,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
4,
3,
4,
4,
4,
3,
4,
5,
3,
3,
2,
4,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
4,
4,
3,
2,
2,
3,
2,
3,
3,
2,
2,
2,
4,
3,
3,
2,
3,
6,
4,
4,
3,
4,
2,
3,
1,
3,
3,
1,
2,
1,
5,
5,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
2,
3,
3,
3,
7,
3,
2,
3,
2,
3,
4,
1,
2,
2,
3,
2,
3,
2,
4,
3,
2,
5,
3,
3,
3,
6,
3,
6,
4,
4,
4,
4,
4,
3,
4,
4,
5,
3,
4,
3,
5,
4,
3,
2,
3,
4,
2,
1,
5,
4,
4,
4,
2,
2,
3,
4,
3,
3,
4,
2,
3,
2,
4,
4,
3,
5,
4,
4,
2,
4,
2,
3,
4,
5,
3,
3,
2,
2,
2,
3,
3,
2,
3,
2,
2,
3,
2,
5,
5,
3,
2,
3,
2,
4,
7,
4,
4,
4,
3,
4,
3,
4,
3,
5,
4,
4,
2,
4,
2,
2,
4,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
4,
4,
1,
4,
4,
3,
3,
3,
4,
4,
2,
4,
2,
3,
3,
2,
3,
3,
4,
3,
3,
4,
2,
2,
4,
2,
3,
2,
3,
4,
5,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
2,
4,
3,
3,
3,
3,
3,
4,
3,
3,
2,
3,
2,
2,
5,
4,
2,
2,
8,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
4,
4,
3,
5,
3,
3,
5,
3,
3,
2,
3,
4,
4,
4,
2,
3,
3,
2,
2,
3,
3,
3,
3,
4,
3,
4,
4,
3,
6,
2,
5,
2,
2,
2,
2,
6,
8,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
2,
5,
2,
4,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
4,
5,
4,
4,
3,
3,
2,
3,
2,
2,
2,
4,
3,
3,
4,
2,
4,
2,
3,
3,
4,
4,
4,
4,
4,
5,
4,
4,
2,
3,
3,
2,
2,
4,
3,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
5,
3,
4,
3,
3,
3,
4,
4,
4,
4,
3,
3,
3,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
5,
5,
5,
2,
5,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
5,
6,
5,
3,
5,
6,
6,
2,
3,
5,
3,
1,
4,
3,
4,
7,
3,
4,
2,
2,
1,
2,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
6,
2,
2,
2,
2,
2,
3,
3,
2,
6,
2,
3,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
4,
3,
4,
2,
4,
4,
2,
1,
4,
4,
3,
2,
2,
2,
5,
2,
2,
2,
3,
3,
2,
2,
3,
2,
2,
5,
4,
4,
4,
3,
3,
3,
5,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
5,
4,
4,
2,
4,
3,
3,
2,
2,
3,
2,
2,
3,
3,
2,
2,
2,
2,
4,
2,
2,
4,
2,
4,
2,
3,
2,
2,
1,
4,
4,
4,
2,
3,
5,
2,
2,
3,
2,
3,
3,
2,
2,
3,
4,
4,
4,
4,
3,
3,
2,
4,
4,
2,
4,
4,
4,
2,
4,
1,
1,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
9,
2,
4,
4,
2,
3,
4,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
1,
3,
3,
3,
3,
2,
3,
2,
2,
3,
2,
2,
2,
2,
4,
3,
4,
4,
4,
3,
3,
3,
2,
3,
2,
2,
2,
6,
2,
3,
3,
2,
2,
4,
3,
4,
4,
4,
2,
2,
4,
3,
3,
4,
3,
3,
3,
3,
2,
2,
6,
2,
2,
4,
3,
4,
2,
2,
2,
4,
3,
2,
3,
3,
3,
7,
2,
2,
2,
1,
2,
8,
5,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
3,
1,
4,
2,
2,
4,
2,
1,
1,
4,
4,
4,
4,
2,
2,
2,
4,
2,
1,
3,
2,
3,
2,
2,
4,
4,
4,
4,
3,
9,
4,
4,
4,
4,
3,
3,
4,
2,
3,
4,
1,
3,
2,
3,
3,
3,
4,
4,
3,
2,
4,
4,
2,
2,
3,
3,
3,
2,
3,
2,
2,
2,
3,
4,
4,
2,
2,
2,
3,
2,
4,
2,
3,
3,
3,
4,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
3,
2,
3,
6,
3,
6,
4,
3,
3,
3,
4,
3,
2,
2,
3,
2,
4,
2,
4,
2,
4,
4,
4,
4,
2,
2,
3,
3,
5,
2,
3,
4,
2,
4,
5,
3,
4,
4,
2,
2,
5,
3,
3,
4,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
3,
4,
3,
4,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
4,
5,
4,
2,
1,
3,
2,
2,
5,
4,
4,
4,
4,
4,
4,
2,
4,
2,
4,
2,
2,
2,
3,
6,
3,
2,
2,
8,
5,
3,
2,
3,
3,
2,
3,
2,
4,
3,
2,
2,
3,
3,
3,
3,
1,
4,
4,
4,
4,
4,
4,
4,
2,
6,
6,
4,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
3,
4,
3,
2,
3,
2,
3,
1,
1,
1,
6,
3,
3,
3,
3,
2,
4,
2,
4,
4,
2,
2,
2,
2,
4,
7,
4,
3,
4,
3,
2,
4,
2,
6,
2,
2,
2,
3,
3,
4,
6,
2,
2,
2,
4,
2,
2,
2,
3,
5,
8,
7,
5,
7,
2,
2,
3,
4,
4,
4,
4,
4,
2,
4,
2,
2,
3,
4,
4,
2,
5,
4,
5,
5,
4,
5,
5,
5,
2,
3,
2,
3,
3,
2,
6,
4,
4,
2,
3,
4,
2,
6,
4,
2,
3,
2,
2,
3,
6,
3,
3,
3,
2,
3,
3,
2,
3,
2,
2,
2,
3,
4,
3,
3,
3,
4,
4,
2,
2,
2,
3,
5,
4,
3,
3,
2,
2,
3,
3,
2,
3,
2,
3,
4,
2,
2,
3,
2,
4,
2,
5,
3,
3,
5,
4,
4,
3,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
2,
2,
1,
4,
2,
2,
4,
4,
2,
2,
6,
3,
2,
3,
3,
4,
4,
2,
2,
4,
2,
2,
4,
3,
4,
2,
5,
2,
3,
4,
3,
5,
1,
3,
2,
4,
3,
5,
2,
5,
3,
1,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
1,
2,
2,
3,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
4,
2,
2,
2,
3,
2,
5,
2,
2,
2,
4,
3,
2,
3,
2,
3,
5,
5,
4,
5,
5,
3,
2,
4,
6,
4,
4,
4,
3,
4,
1,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
3,
5,
3,
3,
3,
3,
3,
4,
3,
3,
2,
6,
2,
3,
2,
2,
2,
3,
4,
5,
4,
3,
2,
2,
2,
2,
8,
2,
7,
2,
2,
2,
2,
4,
2,
2,
3,
3,
2,
2,
2,
3,
2,
3,
1,
1,
2,
1,
1,
6,
4,
3,
5,
2,
3,
4,
3,
2,
2,
3,
2,
2,
4,
3,
2,
4,
3,
2,
3,
2,
3,
2,
2,
3,
3,
2,
2,
3,
1,
3,
4,
2,
2,
4,
2,
3,
4,
3,
4,
3,
2,
2,
3,
4,
2,
5,
2,
3,
3,
2,
5,
4,
2,
2,
3,
3,
3,
3,
4,
3,
2,
4,
4,
4,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
4,
5,
4,
4,
3,
5,
3,
2,
5,
3,
3,
2,
2,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
4,
4,
6,
4,
2,
5,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
2,
2,
2,
3,
4,
2,
3,
2,
2,
4,
4,
3,
3,
2,
5,
2,
4,
5,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
5,
2,
3,
3,
1,
2,
3,
3,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
4,
3,
4,
2,
2,
4,
2,
2,
2,
2,
5,
2,
7,
3,
8,
2,
3,
3,
3,
4,
3,
3,
5,
4,
7,
3,
3,
3,
2,
3,
2,
2,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
2,
1,
1,
3,
3,
1,
2,
1,
3,
1,
4,
2,
1,
3,
3,
5,
3,
6,
3,
6,
6,
6,
6,
7,
7,
2,
3,
2,
2,
4,
4,
2,
2,
5,
2,
2,
2,
2,
4,
4,
3,
3,
3,
3,
2,
4,
5,
4,
4,
4,
1,
2,
3,
3,
5,
2,
4,
1,
6,
3,
2,
2,
3,
3,
3,
4,
4,
3,
4,
4,
4,
3,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
5,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
3,
3,
2,
4,
4,
6,
4,
5,
2,
3,
4,
2,
4,
4,
3,
4,
5,
6,
3,
7,
5,
7,
3,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
3,
5,
3,
2,
5,
3,
2,
2,
2,
1,
2,
2,
3,
2,
4,
2,
3,
4,
2,
3,
4,
4,
4,
4,
1,
2,
4,
3,
3,
3,
3,
2,
5,
4,
2,
2,
2,
4,
2,
4,
4,
2,
4,
3,
4,
2,
5,
4,
4,
4,
2,
2,
4,
2,
2,
4,
2,
2,
5,
4,
1,
1,
3,
5,
6,
3,
4,
2,
3,
3,
2,
3,
2,
2,
3,
2,
6,
4,
4,
4,
3,
2,
3,
2,
2,
2,
2,
4,
2,
4,
2,
2,
2,
2,
4,
5,
3,
2,
4,
4,
5,
3,
4,
3,
3,
7,
3,
3,
2,
3,
3,
2,
4,
2,
4,
3,
3,
3,
2,
2,
4,
4,
4,
2,
1,
4,
4,
3,
3,
3,
3,
3,
2,
1,
4,
2,
5,
1,
2,
2,
3,
3,
2,
4,
2,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
4,
4,
2,
2,
3,
2,
3,
3,
2,
3,
4,
4,
4,
4,
4,
2,
2,
4,
4,
3,
2,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
5,
2,
2,
2,
4,
4,
4,
2,
2,
2,
3,
2,
5,
3,
2,
2,
2,
4,
2,
4,
4,
3,
2,
2,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
4,
2,
4,
4,
4,
4,
3,
6,
2,
5,
4,
3,
3,
5,
3,
5,
2,
2,
4,
4,
2,
4,
4,
4,
3,
2,
2,
2,
4,
3,
5,
3,
3,
3,
2,
3,
3,
5,
5,
5,
4,
4,
2,
3,
1,
2,
4,
4,
3,
4,
4,
2,
4,
4,
2,
5,
4,
4,
4,
3,
6,
4,
4,
6,
4,
3,
2,
3,
3,
3,
3,
5,
3,
2,
3,
2,
2,
2,
2,
4,
6,
3,
2,
2,
2,
4,
6,
3,
4,
4,
2,
3,
2,
3,
3,
2,
3,
5,
3,
3,
3,
3,
5,
4,
3,
2,
2,
3,
2,
2,
1,
2,
3,
2,
2,
2,
5,
2,
2,
2,
2,
4,
2,
2,
1,
4,
3,
4,
4,
2,
5,
2,
2,
2,
2,
6,
4,
5,
4,
3,
2,
2,
4,
2,
2,
4,
2,
3,
3,
4,
3,
3,
3,
2,
3,
3,
1,
8,
2,
2,
4,
2,
2,
4,
2,
4,
2,
3,
2,
6,
4,
4,
4,
2,
2,
2,
4,
3,
4,
3,
3,
3,
5,
2,
2,
4,
2,
4,
3,
3,
2,
4,
3,
2,
1,
2,
2,
1,
3,
6,
3,
3,
5,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
1,
3,
2,
4,
4,
3,
4,
3,
4,
4,
3,
5,
5,
5,
5,
5,
5,
5,
2,
4,
2,
2,
4,
2,
4,
2,
2,
2,
3,
2,
3,
3,
2,
2,
3,
2,
4,
2,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
1,
1,
2,
3,
2,
5,
6,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
5,
9,
3,
6,
3,
2,
6,
6,
3,
3,
4,
5,
4,
3,
2,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
4,
3,
8,
4,
5,
3,
2,
4,
3,
6,
6,
5,
4,
2,
2,
3,
2,
3,
1,
2,
4,
4,
4,
4,
3,
2,
2,
2,
3,
3,
1,
4,
4,
6,
6,
6,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
2,
2,
4,
4,
3,
3,
4,
2,
2,
2,
4,
2,
2,
3,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
5,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
4,
3,
3,
3,
4,
2,
2,
2,
2,
3,
4,
2,
1,
2,
2,
3,
3,
2,
2,
4,
5,
3,
2,
4,
2,
3,
2,
3,
2,
2,
3,
3,
3,
2,
4,
3,
4,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
5,
2,
2,
3,
4,
2,
2,
3,
3,
3,
3,
3,
5,
3,
4,
4,
3,
4,
2,
2,
3,
3,
2,
4,
3,
4,
2,
4,
4,
5,
5,
4,
5,
4,
2,
4,
4,
2,
2,
5,
5,
4,
3,
5,
4,
4,
3,
3,
4,
5,
5,
4,
3,
3,
2,
3,
4,
2,
4,
4,
4,
2,
3,
3,
4,
4,
2,
1,
3,
3,
3,
3,
2,
4,
3,
4,
3,
2,
2,
2,
3,
5,
4,
2,
3,
3,
4,
2,
4,
4,
4,
2,
2,
1,
3,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
2,
3,
4,
2,
5,
4,
3,
2,
2,
4,
3,
3,
2,
5,
3,
4,
5,
2,
4,
3,
3,
4,
3,
4,
3,
4,
2,
6,
6,
6,
2,
4,
2,
6,
5,
6,
3,
4,
2,
1,
2,
3,
1,
4,
3,
4,
2,
2,
4,
2,
2,
2,
2,
2,
5,
5,
4,
3,
4,
5,
6,
7,
3,
4,
2,
2,
4,
4,
2,
2,
2,
4,
2,
2,
3,
3,
4,
3,
4,
4,
2,
3,
2,
3,
4,
2,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
5,
2,
2,
2,
3,
3,
6,
4,
2,
3,
4,
4,
4,
4,
5,
2,
4,
4,
4,
4,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
4,
4,
2,
2,
2,
4,
3,
3,
3,
3,
4,
4,
4,
9,
3,
2,
3,
2,
2,
2,
4,
3,
2,
2,
6,
5,
4,
3,
5,
4,
3,
2,
2,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
3,
2,
3,
2,
2,
2,
4,
3,
5,
5,
3,
3,
4,
4,
2,
2,
4,
2,
3,
3,
2,
4,
5,
4,
4,
6,
4,
4,
4,
4,
4,
4,
5,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
4,
3,
2,
2,
2,
4,
3,
3,
1,
2,
5,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
5,
3,
4,
5,
3,
4,
3,
3,
3,
3,
3,
3,
4,
2,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
5,
4,
4,
2,
4,
6,
3,
2,
2,
6,
6,
2,
2,
4,
5,
4,
4,
2,
3,
4,
2,
4,
3,
3,
3,
3,
2,
2,
4,
3,
3,
5,
3,
8,
5,
3,
2,
2,
4,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
4,
2,
2,
2,
3,
3,
3,
3,
4,
4,
2,
2,
2,
4,
4,
4,
4,
2,
1,
3,
3,
6,
3,
4,
4,
3,
3,
3,
2,
2,
3,
5,
5,
2,
3,
4,
4,
4,
4,
4,
4,
4,
6,
4,
4,
4,
4,
2,
2,
4,
2,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
1,
5,
2,
2,
4,
4,
2,
5,
7,
5,
2,
2,
4,
2,
5,
2,
4,
6,
3,
3,
3,
2,
3,
4,
4,
4,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
5,
2,
5,
2,
6,
3,
3,
2,
4,
4,
5,
4,
2,
6,
3,
4,
5,
2,
2,
2,
2,
3,
3,
3,
1,
1,
1,
3,
2,
2,
2,
2,
1,
2,
3,
5,
4,
2,
2,
4,
2,
5,
4,
6,
2,
5,
3,
4,
3,
4,
7,
4,
5,
3,
2,
3,
2,
2,
4,
2,
3,
5,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
2,
2,
2,
3,
2,
3,
4,
4,
2,
2,
4,
3,
1,
7,
3,
2,
3,
2,
4,
3,
2,
4,
2,
2,
3,
6,
3,
4,
2,
3,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
5,
3,
5,
4,
2,
8,
3,
3,
2,
2,
2,
3,
2,
2,
2,
5,
4,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
2,
4,
2,
3,
3,
4,
4,
4,
5,
3,
4,
2,
2,
2,
2,
4,
3,
4,
4,
2,
4,
4,
5,
3,
5,
2,
3,
1,
6,
2,
3,
4,
4,
2,
6,
3,
3,
5,
2,
2,
2,
2,
1,
3,
2,
4,
2,
4,
2,
2,
2,
4,
4,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
4,
2,
4,
4,
4,
3,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
6,
4,
4,
4,
6,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
3,
4,
3,
6,
5,
2,
3,
4,
2,
2,
4,
2,
4,
2,
2,
2,
4,
2,
5,
4,
6,
4,
5,
3,
4,
3,
3,
3,
2,
2,
2,
2,
2,
3,
5,
2,
4,
2,
4,
4,
4,
2,
2,
3,
2,
2,
3,
2,
2,
5,
2,
4,
2,
2,
4,
8,
8,
4,
3,
3,
3,
3,
3,
3,
3,
3,
6,
5,
5,
4,
2,
3,
5,
4,
3,
2,
2,
2,
2,
3,
5,
3,
3,
2,
2,
3,
3,
3,
2,
3,
3,
4,
4,
4,
4,
2,
3,
2,
5,
7,
4,
2,
2,
2,
3,
1,
2,
3,
2,
2,
2,
3,
3,
3,
5,
3,
2,
4,
3,
2,
4,
2,
4,
2,
4,
4,
4,
2,
4,
3,
4,
2,
2,
4,
7,
7,
2,
4,
2,
2,
3,
2,
4,
6,
3,
2,
4,
4,
4,
4,
3,
4,
2,
2,
3,
3,
3,
3,
4,
3,
4,
2,
3,
2,
3,
1,
4,
2,
4,
2,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
2,
2,
2,
4,
2,
4,
2,
6,
3,
4,
2,
2,
4,
4,
5,
4,
4,
4,
4,
3,
4,
5,
1,
2,
4,
2,
2,
2,
4,
5,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
5,
3,
3,
2,
3,
5,
2,
2,
3,
2,
2,
3,
2,
3,
2,
2,
2,
2,
3,
2,
2,
4,
4,
3,
2,
2,
3,
3,
2,
1,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
5,
4,
7,
2,
3,
4,
4,
2,
3,
2,
4,
4,
2,
1,
4,
4,
3,
5,
5,
4,
2,
2,
5,
2,
2,
4,
2,
1,
2,
2,
2,
4,
2,
3,
4,
4,
3,
2,
2,
2,
1,
2,
3,
2,
4,
3,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
5,
3,
2,
2,
2,
5,
2,
2,
4,
6,
3,
5,
3,
3,
3,
3,
2,
5,
2,
3,
2,
3,
3,
2,
5,
2,
4,
4,
4,
2,
2,
4,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
3,
2,
3,
2,
2,
4,
2,
3,
3,
4,
1,
3,
4,
5,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
5,
4,
3,
2,
2,
2,
2,
3,
4,
2,
4,
3,
4,
4,
4,
3,
3,
5,
5,
8,
6,
3,
3,
3,
3,
4,
3,
2,
2,
5,
5,
4,
5,
2,
2,
4,
3,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
6,
3,
4,
5,
4,
1,
5,
4,
5,
6,
3,
5,
3,
2,
2,
2,
2,
3,
4,
3,
4,
2,
3,
4,
2,
4,
2,
4,
4,
4,
3,
3,
2,
4,
4,
4,
2,
4,
1,
1,
4,
4,
2,
4,
2,
2,
3,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
7,
5,
3,
6,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
3,
5,
4,
2,
4,
2,
2,
4,
4,
5,
5,
3,
5,
2,
2,
2,
3,
2,
2,
3,
3,
2,
3,
2,
3,
4,
2,
4,
2,
2,
1,
3,
4,
4,
3,
3,
3,
3,
2,
3,
2,
4,
2,
2,
4,
4,
7,
4,
3,
4,
3,
4,
7,
2,
4,
2,
3,
2,
3,
2,
1,
2,
2,
2,
2,
7,
4,
5,
2,
3,
3,
3,
3,
4,
4,
5,
4,
4,
4,
5,
3,
7,
4,
5,
2,
4,
2,
3,
5,
2,
4,
4,
2,
2,
4,
2,
2,
4,
2,
3,
2,
3,
2,
3,
2,
2,
3,
2,
4,
4,
2,
4,
2,
2,
2,
2,
4,
2,
2,
4,
3,
2,
3,
2,
3,
3,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
5,
5,
5,
4,
5,
6,
3,
4,
3,
2,
3,
3,
2,
4,
4,
2,
2,
4,
2,
2,
1,
1,
2,
4,
1,
2,
2,
1,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
4,
4,
4,
3,
3,
4,
4,
2,
4,
4,
2,
4,
4,
3,
3,
3,
3,
2,
2,
2,
5,
4,
2,
4,
5,
2,
2,
3,
2,
2,
3,
4,
7,
4,
2,
2,
2,
3,
2,
2,
1,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
3,
4,
3,
3,
2,
3,
3,
3,
2,
2,
4,
2,
4,
2,
3,
3,
3,
2,
2,
4,
3,
4,
7,
4,
4,
2,
2,
3,
2,
5,
2,
2,
5,
4,
6,
6,
2,
2,
3,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
3,
4,
4,
2,
4,
3,
2,
2,
5,
4,
5,
5,
3,
3,
1,
1,
2,
2,
3,
3,
2,
2,
2,
2,
1,
2,
1,
2,
3,
3,
3,
3,
3,
4,
2,
4,
4,
2,
4,
5,
5,
4,
2,
4,
4,
2,
2,
4,
2,
2,
4,
2,
4,
4,
4,
2,
2,
4,
2,
2,
4,
2,
2,
2,
2,
1,
3,
2,
4,
4,
2,
2,
6,
2,
4,
2,
2,
3,
3,
3,
4,
4,
3,
4,
3,
3,
3,
3,
2,
4,
3,
3,
2,
4,
4,
3,
3,
2,
3,
3,
2,
3,
4,
4,
2,
4,
2,
2,
1,
2,
2,
3,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
1,
5,
4,
3,
2,
4,
4,
2,
4,
6,
3,
2,
3,
2,
3,
3,
4,
3,
3,
6,
3,
3,
4,
3,
2,
4,
7,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
6,
2,
5,
4,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
2,
2,
2,
2,
2,
3,
1,
2,
3,
2,
4,
2,
2,
4,
4,
4,
5,
2,
3,
2,
3,
5,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
3,
4,
2,
5,
2,
2,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
1,
4,
5,
4,
4,
3,
4,
4,
4,
2,
2,
2,
4,
4,
2,
4,
4,
4,
5,
4,
4,
3,
4,
4,
2,
3,
2,
2,
6,
3,
5,
4,
4,
3,
3,
4,
4,
4,
4,
5,
4,
2,
5,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
3,
2,
4,
2,
2,
2,
3,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
3,
2,
2,
2,
4,
4,
4,
3,
2,
2,
4,
2,
4,
2,
2,
3,
2,
6,
2,
2,
3,
2,
3,
1,
2,
5,
5,
1,
2,
5,
4,
3,
1,
3,
6,
2,
2,
4,
7,
3,
5,
4,
4,
4,
6,
6,
4,
4,
8,
4,
3,
2,
2,
3,
2,
3,
2,
2,
2,
3,
6,
8,
4,
2,
2,
8,
3,
6,
5,
4,
4,
2,
4,
2,
3,
1,
4,
2,
2,
4,
3,
2,
2,
4,
5,
2,
3,
4,
2,
4,
4,
3,
2,
2,
3,
2,
2,
1,
4,
3,
4,
4,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
6,
4,
3,
2,
2,
3,
2,
2,
2,
3,
3,
2,
3,
2,
2,
2,
3,
5,
4,
2,
2,
2,
3,
3,
2,
2,
3,
2,
2,
2,
2,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
4,
2,
4,
3,
3,
3,
5,
4,
4,
2,
5,
3,
3,
6,
3,
3,
4,
3,
2,
3,
3,
2,
1,
3,
3,
3,
3,
2,
4,
2,
3,
3,
2,
2,
3,
4,
4,
4,
3,
2,
4,
2,
2,
2,
1,
4,
2,
2,
3,
2,
2,
3,
2,
3,
3,
5,
2,
1,
4,
4,
4,
5,
3,
3,
4,
4,
3,
3,
3,
3,
4,
2,
4,
2,
2,
7,
2,
2,
1,
2,
3,
3,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
1,
2,
2,
1,
7,
2,
2,
2,
2,
1,
2,
3,
3,
4,
2,
3,
2,
2,
3,
3,
2,
2,
2,
3,
5,
4,
2,
1,
4,
4,
4,
4,
2,
3,
3,
2,
3,
3,
3,
3,
1,
3,
2,
3,
3,
3,
5,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
5,
3,
2,
2,
2,
2,
2,
4,
2,
2,
4,
3,
2,
4,
4,
4,
4,
4,
5,
4,
5,
3,
4,
1,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
2,
3,
3,
1,
2,
3,
2,
3,
1,
4,
2,
5,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
3,
4,
2,
4,
3,
3,
10,
4,
4,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
3,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
4,
2,
3,
2,
4,
4,
5,
5,
4,
4,
2,
4,
4,
3,
3,
2,
4,
3,
3,
3,
3,
2,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
1,
2,
4,
2,
2,
2,
4,
2,
3,
3,
5,
3,
3,
3,
3,
3,
4,
2,
2,
2,
3,
4,
3,
3,
4,
2,
3,
4,
3,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
3,
3,
4,
2,
3,
3,
3,
3,
2,
3,
3,
3,
2,
3,
3,
2,
2,
3,
4,
2,
3,
3,
3,
3,
3,
4,
5,
3,
4,
3,
4,
2,
2,
1,
1,
1,
4,
2,
4,
3,
3,
4,
3,
2,
2,
3,
4,
1,
2,
4,
2,
2,
3,
3,
4,
3,
4,
4,
2,
2,
2,
4,
3,
3,
3,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
2,
5,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
3,
3,
2,
4,
4,
3,
3,
3,
4,
3,
3,
3,
4,
3,
2,
1,
2,
4,
2,
3,
4,
4,
3,
3,
6,
3,
3,
3,
3,
6,
3,
2,
3,
2,
3,
2,
2,
4,
4,
2,
2,
6,
4,
2,
3,
4,
6,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
5,
4,
4,
4,
8,
4,
4,
3,
4,
4,
2,
2,
4,
4,
4,
2,
2,
2,
4,
5,
3,
2,
2,
3,
3,
3,
4,
2,
3,
3,
2,
8,
3,
4,
2,
2,
2,
1,
3,
4,
4,
4,
2,
2,
4,
4,
4,
4,
2,
5,
3,
3,
5,
6,
3,
4,
2,
2,
2,
4,
3,
2,
2,
4,
4,
2,
5,
4,
4,
4,
4,
3,
2,
2,
3,
3,
2,
3,
4,
4,
3,
4,
4,
3,
3,
3,
4,
2,
4,
4,
2,
4,
2,
8,
4,
2,
4,
2,
2,
1,
2,
3,
6,
3,
3,
5,
3,
4,
3,
2,
3,
2,
3,
2,
4,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
5,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
4,
5,
4,
3,
3,
2,
3,
3,
3,
3,
4,
6,
4,
3,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
1,
2,
2,
1,
3,
4,
2,
2,
3,
4,
4,
4,
3,
4,
3,
6,
3,
6,
4,
3,
2,
2,
2,
2,
2,
3,
2,
4,
3,
2,
6,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
4,
3,
3,
3,
2,
3,
2,
4,
3,
3,
2,
2,
2,
2,
3,
2,
2,
4,
4,
4,
2,
2,
2,
4,
1,
2,
3,
3,
3,
2,
2,
4,
2,
2,
6,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
6,
3,
3,
2,
3,
3,
5,
4,
4,
2,
2,
2,
4,
4,
4,
4,
3,
3,
2,
3,
2,
4,
4,
2,
4,
4,
4,
12,
6,
5,
3,
1,
6,
7,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
2,
3,
4,
3,
2,
4,
2,
3,
4,
2,
2,
2,
2,
2,
3,
6,
4,
3,
4,
3,
2,
3,
3,
2,
2,
5,
2,
2,
3,
2,
3,
2,
2,
4,
3,
1,
2,
3,
2,
3,
3,
4,
4,
4,
4,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
2,
4,
4,
5,
5,
3,
4,
2,
2,
3,
3,
3,
3,
3,
5,
4,
4,
2,
3,
4,
4,
4,
2,
2,
2,
2,
4,
4,
3,
4,
4,
3,
4,
3,
5,
3,
3,
5,
3,
3,
3,
2,
2,
2,
5,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
2,
4,
2,
4,
2,
3,
3,
4,
2,
6,
4,
2,
2,
3,
2,
2,
4,
3,
4,
4,
6,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
1,
2,
2,
2,
3,
2,
2,
3,
3,
2,
4,
4,
2,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
4,
2,
3,
3,
2,
2,
3,
4,
4,
3,
3,
4,
1,
4,
3,
3,
4,
4,
4,
3,
4,
5,
6,
5,
2,
4,
4,
2,
2,
4,
5,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
4,
2,
2,
2,
7,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
2,
4,
2,
2,
2,
3,
3,
3,
2,
4,
3,
3,
2,
4,
2,
3,
2,
3,
3,
3,
2,
4,
3,
2,
3,
2,
3,
4,
4,
2,
2,
2,
2,
2,
4,
7,
4,
4,
2,
2,
2,
2,
5,
5,
1,
3,
3,
2,
4,
2,
2,
6,
4,
4,
3,
4,
1,
3,
2,
4,
2,
3,
4,
3,
2,
2,
6,
1,
1,
1,
1,
1,
1,
2,
2,
1,
4,
2,
4,
4,
4,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
12,
2,
4,
3,
2,
5,
3,
2,
2,
2,
4,
4,
3,
4,
5,
3,
2,
3,
2,
4,
4,
2,
4,
2,
8,
4,
3,
3,
2,
4,
4,
4,
4,
3,
2,
2,
4,
4,
4,
3,
4,
4,
2,
3,
3,
2,
4,
4,
3,
4,
2,
4,
3,
4,
2,
3,
3,
2,
2,
4,
3,
3,
5,
5,
5,
2,
4,
2,
2,
2,
2,
5,
4,
4,
3,
3,
3,
3,
4,
5,
3,
3,
3,
3,
5,
2,
4,
4,
4,
3,
7,
2,
4,
5,
2,
4,
2,
4,
4,
4,
4,
5,
2,
2,
2,
4,
1,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
2,
2,
2,
3,
3,
2,
2,
1,
4,
3,
2,
4,
4,
3,
5,
3,
6,
4,
4,
2,
2,
4,
5,
5,
2,
5,
4,
2,
2,
3,
2,
3,
3,
2,
2,
1,
1,
2,
3,
3,
4,
2,
5,
4,
4,
4,
5,
3,
6,
2,
2,
6,
3,
8,
3,
3,
2,
2,
4,
3,
4,
4,
2,
4,
5,
3,
6,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
4,
5,
4,
5,
4,
8,
2,
2,
3,
2,
4,
2,
2,
2,
2,
4,
2,
3,
2,
2,
4,
4,
2,
5,
4,
5,
3,
3,
5,
3,
3,
3,
2,
4,
2,
4,
2,
4,
4,
4,
4,
4,
5,
5,
4,
4,
5,
4,
3,
5,
5,
3,
3,
2,
3,
2,
2,
2,
2,
4,
4,
3,
4,
4,
3,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
6,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
3,
2,
5,
2,
5,
2,
3,
3,
3,
4,
5,
6,
2,
2,
3,
3,
3,
3,
3,
4,
4,
3,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
3,
2,
3,
5,
1,
3,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
6,
4,
3,
4,
4,
3,
4,
4,
3,
3,
6,
2,
2,
3,
4,
6,
2,
5,
3,
3,
3,
2,
5,
2,
4,
4,
3,
7,
3,
4,
4,
2,
2,
3,
3,
3,
4,
3,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
6,
5,
5,
5,
3,
4,
4,
4,
3,
3,
4,
3,
3,
7,
4,
4,
4,
4,
2,
3,
4,
2,
4,
4,
2,
4,
4,
3,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
1,
4,
4,
2,
2,
2,
3,
3,
3,
4,
2,
3,
2,
4,
2,
3,
3,
4,
2,
3,
2,
3,
2,
3,
3,
4,
4,
4,
4,
4,
2,
4,
3,
2,
2,
4,
4,
4,
4,
3,
3,
3,
6,
2,
3,
2,
2,
4,
3,
3,
2,
2,
5,
3,
2,
4,
2,
2,
3,
3,
2,
5,
2,
4,
5,
2,
2,
2,
2,
1,
2,
3,
3,
2,
2,
2,
2,
3,
3,
4,
3,
3,
3,
4,
4,
2,
4,
3,
3,
4,
4,
3,
2,
2,
3,
2,
2,
2,
2,
3,
3,
4,
3,
3,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
4,
2,
3,
4,
4,
4,
4,
4,
4,
2,
4,
6,
4,
3,
2,
4,
3,
2,
2,
2,
2,
2,
5,
5,
4,
4,
4,
4,
3,
4,
4,
3,
2,
3,
3,
3,
3,
3,
4,
2,
2,
5,
6,
6,
2,
5,
4,
4,
4,
5,
4,
4,
2,
4,
3,
3,
3,
3,
3,
2,
4,
3,
3,
2,
3,
3,
3,
2,
6,
4,
6,
8,
7,
2,
3,
4,
4,
4,
4,
2,
4,
5,
5,
4,
4,
4,
3,
3,
4,
2,
5,
7,
4,
4,
5,
5,
4,
2,
2,
4,
4,
4,
2,
3,
2,
1,
2,
2,
2,
4,
4,
4,
2,
5,
2,
3,
3,
2,
2,
2,
4,
2,
2,
2,
3,
4,
2,
2,
2,
2,
4,
3,
2,
2,
4,
2,
4,
3,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
6,
6,
2,
2,
2,
1,
2,
2,
2,
2,
3,
2,
2,
4,
5,
4,
4,
4,
2,
3,
5,
4,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
5,
3,
2,
3,
2,
4,
3,
4,
3,
4,
3,
2,
2,
3,
4,
3,
2,
2,
2,
6,
4,
3,
2,
4,
3,
3,
2,
2,
3,
5,
2,
3,
3,
1,
3,
4,
6,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
4,
5,
4,
3,
4,
4,
4,
2,
2,
4,
3,
3,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
5,
3,
3,
3,
2,
2,
2,
4,
4,
5,
2,
2,
4,
3,
5,
6,
2,
2,
3,
3,
2,
3,
2,
2,
3,
3,
4,
3,
2,
5,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
5,
4,
2,
4,
3,
2,
3,
7,
4,
2,
4,
4,
4,
2,
3,
4,
4,
4,
2,
4,
3,
2,
4,
4,
4,
3,
2,
4,
4,
4,
2,
4,
2,
4,
2,
2,
2,
3,
2,
3,
2,
3,
4,
2,
2,
2,
3,
4,
2,
3,
2,
2,
2,
1,
2,
3,
3,
4,
2,
4,
4,
4,
2,
4,
4,
2,
3,
3,
5,
3,
2,
4,
5,
2,
2,
2,
4,
2,
3,
3,
4,
3,
2,
2,
3,
3,
2,
3,
3,
4,
4,
4,
5,
2,
5,
3,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
5,
5,
2,
3,
2,
2,
3,
3,
2,
4,
2,
4,
4,
4,
2,
4,
5,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
5,
4,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
3,
4,
2,
4,
4,
3,
4,
1,
4,
4,
5,
5,
4,
3,
4,
4,
4,
6,
3,
3,
4,
4,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
5,
2,
2,
4,
5,
2,
5,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
3,
2,
2,
3,
4,
2,
3,
2,
3,
4,
4,
3,
5,
8,
7,
6,
6,
3,
4,
4,
4,
3,
4,
4,
2,
4,
4,
5,
3,
2,
3,
3,
2,
3,
2,
2,
3,
3,
2,
2,
3,
3,
3,
2,
5,
3,
6,
2,
2,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
2,
4,
4,
3,
4,
3,
7,
2,
3,
2,
3,
2,
2,
4,
2,
4,
4,
3,
2,
5,
5,
2,
3,
2,
4,
3,
4,
3,
3,
2,
4,
6,
4,
2,
2,
2,
4,
4,
2,
3,
2,
4,
2,
3,
2,
2,
4,
2,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
4,
2,
3,
2,
4,
3,
3,
3,
3,
1,
2,
2,
3,
4,
4,
4,
4,
3,
4,
5,
3,
5,
4,
5,
4,
5,
2,
3,
3,
2,
2,
4,
2,
4,
3,
3,
3,
3,
4,
4,
2,
3,
4,
2,
4,
3,
5,
2,
4,
2,
3,
2,
2,
3,
5,
3,
4,
3,
3,
3,
3,
2,
5,
2,
3,
3,
4,
3,
3,
6,
3,
3,
3,
3,
2,
4,
4,
2,
2,
2,
3,
2,
4,
3,
4,
1,
4,
4,
4,
3,
2,
3,
3,
4,
4,
3,
3,
6,
1,
4,
2,
2,
2,
3,
7,
3,
3,
4,
2,
5,
5,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
6,
2,
2,
2,
2,
2,
1,
1,
3,
3,
2,
2,
2,
4,
2,
3,
4,
5,
3,
3,
2,
5,
2,
3,
3,
3,
2,
3,
5,
3,
4,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
4,
2,
2,
2,
2,
4,
3,
4,
4,
4,
4,
2,
4,
1,
1,
2,
3,
3,
2,
2,
4,
3,
3,
3,
2,
4,
2,
4,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
2,
4,
2,
4,
3,
3,
2,
2,
3,
4,
3,
2,
3,
4,
2,
3,
4,
3,
2,
2,
4,
4,
2,
3,
4,
4,
4,
4,
2,
3,
4,
4,
2,
3,
4,
2,
4,
5,
5,
4,
4,
3,
5,
5,
4,
3,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
7,
4,
2,
2,
4,
2,
3,
6,
6,
2,
2,
4,
3,
6,
3,
4,
2,
2,
2,
4,
3,
4,
4,
1,
3,
2,
3,
2,
3,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
3,
2,
4,
4,
2,
4,
4,
5,
6,
3,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
3,
1,
3,
4,
4,
6,
4,
2,
2,
3,
2,
6,
6,
4,
3,
2,
3,
3,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
5,
3,
3,
2,
2,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
6,
3,
3,
5,
4,
2,
2,
3,
2,
3,
2,
6,
3,
4,
3,
6,
3,
6,
5,
3,
4,
3,
3,
3,
4,
4,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
4,
2,
2,
2,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
2,
2,
3,
2,
4,
4,
5,
5,
4,
2,
2,
5,
4,
4,
2,
3,
5,
4,
2,
3,
3,
3,
3,
3,
4,
3,
3,
2,
2,
4,
4,
2,
3,
2,
3,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
1,
2,
3,
2,
4,
4,
4,
2,
4,
4,
4,
3,
3,
2,
3,
5,
4,
2,
3,
4,
3,
3,
4,
3,
2,
4,
4,
4,
7,
3,
4,
4,
4,
3,
4,
2,
6,
6,
2,
2,
3,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
4,
3,
2,
4,
3,
4,
5,
4,
2,
3,
1,
4,
3,
4,
3,
4,
3,
4,
2,
3,
2,
3,
2,
3,
3,
4,
4,
3,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
2,
2,
3,
2,
3,
3,
2,
3,
2,
2,
4,
2,
2,
2,
4,
3,
4,
4,
2,
3,
4,
4,
2,
2,
2,
3,
2,
6,
2,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
2,
2,
4,
2,
2,
2,
3,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
5,
4,
2,
2,
3,
2,
4,
4,
2,
2,
2,
4,
4,
4,
5,
3,
6,
3,
3,
3,
3,
3,
3,
1,
3,
2,
2,
3,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
3,
2,
3,
4,
4,
4,
5,
4,
5,
4,
5,
4,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
4,
3,
2,
4,
3,
3,
3,
2,
2,
4,
2,
3,
3,
4,
3,
3,
5,
2,
4,
4,
2,
2,
2,
2,
2,
3,
2,
4,
4,
2,
2,
2,
3,
3,
4,
3,
2,
3,
3,
2,
3,
5,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
3,
2,
4,
2,
2,
4,
2,
2,
3,
3,
7,
2,
2,
2,
2,
4,
2,
2,
2,
5,
3,
4,
2,
2,
3,
2,
5,
3,
2,
2,
2,
2,
4,
4,
5,
3,
2,
2,
2,
2,
2,
6,
3,
3,
5,
3,
3,
2,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
6,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
1,
2,
2,
2,
4,
4,
2,
2,
4,
3,
4,
4,
2,
2,
2,
2,
2,
3,
4,
4,
5,
2,
2,
3,
3,
4,
3,
4,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
3,
4,
2,
5,
2,
4,
2,
6,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
1,
3,
2,
4,
5,
4,
4,
4,
4,
2,
2,
2,
3,
2,
4,
4,
5,
4,
2,
3,
3,
3,
3,
2,
2,
2,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
4,
5,
4,
6,
3,
3,
3,
2,
2,
5,
3,
2,
2,
2,
5,
2,
5,
3,
4,
4,
5,
3,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
5,
2,
4,
3,
4,
2,
5,
4,
4,
4,
4,
4,
8,
2,
2,
4,
2,
4,
2,
2,
2,
4,
3,
2,
2,
2,
6,
2,
5,
3,
4,
4,
6,
3,
3,
3,
6,
6,
6,
4,
4,
3,
3,
2,
3,
2,
2,
4,
6,
2,
2,
6,
2,
3,
3,
4,
2,
2,
2,
4,
3,
4,
3,
4,
5,
2,
3,
2,
2,
3,
4,
3,
2,
1,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
5,
3,
4,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
3,
5,
5,
4,
2,
6,
4,
7,
3,
2,
3,
2,
2,
2,
2,
3,
3,
4,
3,
2,
2,
4,
2,
4,
2,
2,
2,
3,
4,
3,
2,
3,
2,
2,
2,
2,
1,
2,
2,
3,
2,
4,
4,
2,
2,
4,
2,
3,
3,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
4,
1,
2,
2,
4,
4,
7,
2,
4,
4,
2,
2,
4,
4,
4,
3,
4,
2,
4,
5,
4,
4,
3,
5,
3,
3,
4,
4,
3,
3,
2,
6,
1,
1,
2,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
3,
2,
4,
4,
3,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
2,
4,
3,
6,
3,
4,
5,
5,
4,
3,
4,
3,
3,
5,
2,
3,
4,
2,
4,
4,
2,
4,
6,
3,
3,
5,
4,
4,
3,
4,
4,
2,
2,
3,
4,
3,
4,
3,
6,
5,
5,
4,
3,
5,
2,
2,
4,
3,
2,
3,
8,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
5,
3,
4,
2,
4,
3,
5,
4,
3,
2,
2,
2,
3,
2,
2,
5,
3,
2,
2,
2,
2,
2,
3,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
1,
4,
3,
3,
3,
3,
4,
2,
4,
2,
2,
2,
3,
3,
6,
3,
5,
5,
3,
4,
3,
4,
3,
3,
2,
3,
5,
2,
1,
2,
5,
3,
4,
4,
6,
2,
4,
4,
4,
4,
4,
4,
5,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
1,
2,
2,
1,
2,
1,
2,
3,
3,
2,
3,
2,
4,
2,
2,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
5,
4,
4,
4,
2,
5,
2,
3,
2,
2,
3,
3,
4,
4,
8,
5,
2,
4,
4,
4,
5,
3,
3,
4,
2,
4,
3,
5,
3,
4,
3,
3,
4,
2,
2,
3,
3,
3,
3,
2,
3,
2,
5,
1,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
2,
4,
4,
3,
3,
3,
2,
2,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
4,
4,
4,
2,
2,
2,
1,
2,
2,
4,
2,
4,
2,
2,
2,
4,
2,
4,
2,
4,
3,
6,
5,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
2,
2,
3,
2,
3,
3,
4,
3,
3,
4,
2,
2,
2,
5,
3,
2,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
4,
4,
4,
2,
2,
4,
4,
2,
2,
3,
4,
4,
2,
2,
3,
3,
2,
2,
3,
3,
3,
2,
2,
5,
4,
3,
2,
3,
3,
7,
4,
3,
3,
3,
2,
3,
3,
4,
4,
2,
2,
7,
2,
2,
2,
3,
3,
4,
4,
5,
4,
2,
2,
5,
3,
4,
4,
2,
2,
1,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
3,
3,
5,
5,
5,
6,
6,
6,
2,
4,
4,
2,
3,
4,
2,
2,
3,
2,
4,
4,
4,
4,
3,
5,
3,
5,
2,
2,
2,
2,
4,
4,
3,
3,
2,
2,
2,
2,
4,
2,
3,
2,
3,
4,
4,
2,
4,
2,
2,
3,
3,
3,
5,
4,
8,
7,
2,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
2,
5,
2,
2,
3,
5,
3,
3,
3,
2,
4,
4,
4,
3,
2,
4,
2,
3,
3,
3,
2,
3,
3,
4,
3,
3,
3,
6,
4,
2,
4,
3,
4,
4,
3,
3,
3,
2,
4,
2,
4,
3,
2,
3,
3,
6,
2,
3,
3,
4,
4,
4,
4,
5,
6,
2,
2,
4,
2,
2,
2,
4,
5,
4,
1,
1,
1,
2,
3,
2,
5,
3,
4,
6,
5,
2,
1,
2,
3,
4,
4,
4,
4,
2,
4,
2,
2,
3,
2,
1,
2,
2,
2,
3,
3,
2,
3,
3,
3,
4,
3,
3,
8,
2,
3,
2,
4,
5,
2,
2,
2,
4,
2,
2,
4,
4,
4,
3,
2,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
5,
3,
2,
3,
2,
3,
2,
2,
2,
4,
4,
4,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
3,
4,
3,
2,
4,
4,
4,
4,
5,
4,
4,
6,
6,
6,
6,
2,
2,
2,
2,
2,
4,
2,
3,
2,
3,
3,
3,
4,
2,
3,
3,
3,
3,
5,
2,
4,
4,
2,
2,
2,
4,
2,
4,
4,
4,
4,
7,
4,
4,
5,
3,
4,
3,
2,
2,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
6,
2,
2,
2,
2,
2,
6,
3,
3,
2,
3,
5,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
5,
2,
2,
2,
2,
4,
5,
5,
3,
3,
3,
3,
5,
3,
6,
4,
2,
2,
3,
3,
3,
3,
3,
2,
2,
3,
2,
3,
3,
4,
2,
3,
7,
3,
3,
3,
2,
5,
4,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
2,
2,
3,
3,
4,
3,
3,
4,
3,
3,
5,
5,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
3,
2,
2,
4,
4,
4,
5,
3,
5,
3,
3,
5,
6,
3,
3,
3,
3,
2,
2,
2,
3,
2,
3,
2,
5,
3,
3,
4,
2,
2,
2,
2,
4,
3,
1,
1,
2,
3,
2,
2,
2,
2,
4,
2,
3,
4,
4,
3,
2,
2,
4,
4,
4,
3,
3,
3,
3,
7,
2,
3,
2,
3,
3,
2,
4,
4,
2,
4,
3,
2,
2,
1,
4,
2,
3,
2,
3,
3,
2,
3,
2,
2,
4,
5,
3,
2,
2,
4,
6,
3,
2,
4,
2,
2,
2,
3,
2,
2,
2,
3,
3,
3,
2,
1,
1,
1,
3,
2,
3,
5,
5,
2,
2,
2,
2,
2,
5,
2,
2,
4,
2,
2,
2,
2,
3,
2,
2,
5,
3,
4,
6,
5,
3,
2,
2,
2,
3,
2,
3,
2,
2,
3,
4,
3,
2,
2,
4,
4,
4,
2,
2,
2,
2,
3,
5,
2,
2,
2,
3,
2,
6,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
3,
3,
2,
2,
2,
4,
3,
2,
2,
10,
1,
2,
4,
4,
3,
3,
5,
1,
3,
3,
3,
2,
2,
3,
2,
2,
2,
3,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
4,
3,
4,
4,
4,
3,
3,
2,
3,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
2,
2,
2,
3,
3,
5,
2,
5,
3,
3,
3,
3,
2,
4,
2,
4,
7,
4,
5,
3,
4,
2,
4,
4,
4,
4,
4,
2,
4,
3,
5,
5,
4,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
5,
5,
3,
3,
3,
2,
5,
2,
2,
4,
3,
4,
4,
5,
2,
2,
4,
3,
5,
3,
4,
4,
4,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
1,
2,
2,
3,
2,
2,
5,
2,
6,
8,
2,
4,
3,
3,
5,
3,
4,
5,
4,
3,
3,
2,
2,
2,
3,
2,
3,
3,
2,
4,
4,
2,
2,
2,
5,
3,
4,
5,
2,
4,
2,
2,
2,
3,
3,
5,
4,
4,
4,
2,
2,
2,
2,
2,
5,
3,
4,
2,
5,
4,
4,
2,
4,
2,
4,
3,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
5,
3,
1,
1,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
1,
2,
2,
2,
2,
3,
2,
3,
3,
2,
9,
3,
3,
5,
3,
3,
4,
2,
2,
1,
2,
2,
2,
2,
2,
4,
5,
2,
4,
2,
2,
3,
3,
2,
5,
1,
3,
4,
3,
2,
2,
2,
3,
3,
2,
6,
7,
4,
7,
6,
3,
2,
2,
5,
4,
2,
2,
4,
3,
4,
1,
2,
2,
2,
2,
2,
2,
5,
2,
2,
3,
2,
2,
2,
4,
3,
2,
4,
3,
2,
5,
3,
4,
4,
3,
4,
4,
4,
4,
3,
3,
2,
4,
2,
2,
2,
3,
2,
2,
2,
4,
4,
3,
4,
4,
4,
3,
5,
2,
4,
4,
2,
2,
3,
3,
2,
4,
5,
4,
3,
2,
3,
3,
3,
3,
5,
3,
3,
4,
4,
2,
2,
4,
3,
4,
4,
3,
3,
3,
3,
5,
5,
3,
3,
4,
3,
3,
2,
2,
4,
4,
4,
4,
6,
7,
6,
3,
2,
3,
2,
3,
3,
2,
2,
2,
2,
3,
4,
3,
3,
2,
2,
2,
4,
2,
3,
4,
4,
1,
4,
2,
4,
3,
2,
3,
4,
4,
3,
4,
2,
2,
3,
5,
3,
5,
4,
4,
4,
4,
4,
3,
3,
5,
5,
3,
3,
3,
3,
4,
3,
4,
3,
3,
3,
2,
3,
4,
3,
3,
2,
2,
6,
6,
3,
5,
2,
3,
4,
2,
4,
6,
2,
3,
3,
6,
4,
4,
3,
3,
6,
5,
3,
3,
2,
2,
2,
2,
1,
2,
4,
3,
2,
3,
2,
4,
4,
3,
1,
3,
3,
2,
4,
4,
3,
5,
3,
7,
3,
4,
3,
6,
4,
5,
4,
2,
2,
2,
2,
2,
2,
2,
1,
8,
2,
2,
2,
4,
4,
2,
4,
2,
2,
3,
4,
4,
2,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
4,
1,
4,
2,
2,
4,
3,
2,
3,
4,
3,
6,
4,
4,
2,
2,
2,
3,
4,
1,
2,
3,
3,
3,
2,
2,
4,
4,
2,
4,
6,
3,
4,
4,
4,
4,
4,
4,
4,
5,
3,
2,
2,
3,
2,
3,
2,
4,
4,
3,
4,
4,
4,
2,
4,
4,
5,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
4,
3,
4,
2,
2,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
3,
2,
3,
2,
2,
2,
3,
3,
3,
2,
3,
4,
4,
3,
5,
3,
2,
4,
4,
2,
3,
3,
3,
3,
4,
4,
2,
4,
2,
4,
2,
2,
2,
2,
3,
3,
5,
3,
3,
2,
5,
5,
3,
2,
2,
5,
2,
2,
3,
4,
3,
2,
2,
3,
3,
5,
4,
5,
5,
3,
3,
4,
2,
2,
2,
2,
3,
3,
3,
2,
3,
3,
3,
4,
4,
2,
5,
5,
5,
4,
2,
4,
3,
5,
3,
4,
1,
2,
3,
5,
2,
2,
2,
5,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
3,
3,
5,
4,
4,
4,
5,
4,
4,
3,
2,
3,
6,
3,
3,
5,
2,
2,
2,
3,
2,
2,
1,
2,
2,
3,
2,
2,
6,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
4,
4,
3,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
4,
5,
2,
2,
2,
2,
2,
5,
2,
2,
4,
3,
3,
2,
5,
2,
4,
2,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
4,
4,
1,
4,
5,
3,
3,
3,
4,
3,
3,
2,
3,
3,
2,
2,
5,
3,
3,
3,
3,
4,
4,
2,
5,
2,
3,
2,
2,
3,
1,
6,
2,
3,
2,
7,
4,
4,
5,
3,
3,
4,
3,
3,
4,
2,
2,
2,
4,
4,
2,
2,
4,
3,
2,
4,
4,
4,
4,
3,
5,
6,
5,
2,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
2,
5,
3,
2,
2,
2,
2,
3,
2,
4,
3,
2,
2,
3,
4,
4,
4,
4,
4,
3,
2,
3,
3,
4,
4,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
1,
2,
2,
2,
3,
4,
3,
2,
3,
2,
2,
4,
2,
2,
3,
6,
3,
3,
3,
2,
2,
3,
3,
2,
3,
2,
2,
3,
4,
3,
3,
3,
3,
3,
2,
2,
5,
2,
4,
3,
1,
2,
4,
5,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
4,
2,
4,
2,
5,
2,
2,
5,
2,
3,
3,
2,
2,
2,
2,
5,
2,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
5,
2,
4,
2,
4,
2,
3,
2,
4,
4,
2,
2,
1,
4,
2,
2,
2,
4,
4,
5,
2,
2,
2,
1,
2,
2,
2,
2,
2,
2,
4,
4,
4,
7,
3,
7,
4,
4,
4,
3,
3,
5,
4,
3,
5,
4,
4,
2,
2,
2,
2,
2,
2,
4,
2,
3,
2,
3,
3,
4,
4,
3,
6,
3,
4,
2,
2,
3,
3,
8,
4,
2,
3,
3,
3,
3,
3,
2,
5,
3,
2,
4,
4,
2,
4,
4,
4,
4,
3,
5,
3,
2,
3,
4,
2,
4,
4,
4,
2,
4,
4,
2,
4,
5,
3,
2,
4,
2,
3,
2,
3,
4,
4,
4,
2,
2,
3,
2,
4,
4,
4,
4,
2,
4,
3,
5,
3,
3,
3,
2,
1,
2,
3,
3,
2,
3,
4,
4,
2,
1,
2,
3,
4,
4,
4,
3,
4,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
4,
2,
6,
2,
4,
3,
4,
5,
8,
3,
3,
3,
3,
6,
5,
4,
4,
3,
5,
5,
4,
4,
4,
4,
6,
5,
4,
2,
2,
4,
4,
5,
4,
2,
4,
2,
3,
2,
2,
2,
3,
5,
4,
3,
5,
6,
3,
2,
6,
3,
3,
2,
3,
4,
3,
2,
4,
4,
4,
3,
4,
3,
4,
4,
4,
4,
4,
7,
4,
4,
4,
4,
4,
4,
4,
5,
4,
3,
4,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
3,
2,
3,
4,
2,
3,
4,
5,
2,
4,
4,
4,
2,
4,
3,
2,
3,
3,
3,
2,
3,
4,
3,
2,
3,
2,
2,
5,
4,
2,
2,
3,
4,
3,
4,
2,
4,
4,
3,
2,
4,
4,
4,
2,
3,
4,
3,
6,
6,
2,
2,
2,
2,
4,
2,
3,
3,
2,
2,
2,
3,
3,
1,
4,
4,
4,
2,
4,
2,
2,
4,
4,
3,
3,
6,
4,
4,
4,
4,
3,
3,
2,
3,
5,
2,
3,
3,
3,
2,
2,
4,
2,
4,
2,
2,
2,
3,
3,
2,
3,
3,
4,
4,
2,
3,
4,
4,
4,
4,
4,
6,
4,
2,
2,
2,
3,
3,
2,
4,
2,
1,
2,
3,
3,
4,
4,
2,
3,
2,
3,
2,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
4,
5,
3,
4,
2,
3,
3,
2,
2,
3,
2,
3,
2,
2,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
3,
4,
3,
5,
5,
3,
2,
3,
4,
3,
3,
3,
3,
3,
2,
2,
6,
4,
4,
4,
2,
1,
1,
2,
2,
2,
4,
3,
3,
2,
2,
3,
4,
3,
2,
2,
6,
3,
4,
2,
2,
2,
2,
2,
5,
5,
3,
3,
3,
4,
4,
4,
2,
4,
3,
3,
4,
3,
6,
2,
3,
5,
4,
4,
4,
4,
4,
2,
4,
2,
2,
4,
1,
1,
3,
5,
4,
2,
3,
3,
4,
4,
2,
2,
4,
2,
4,
2,
3,
2,
5,
5,
2,
4,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
5,
3,
2,
2,
4,
4,
2,
2,
4,
3,
3,
2,
1,
3,
2,
4,
4,
3,
2,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
4,
3,
5,
3,
5,
4,
4,
4,
3,
4,
2,
4,
0,
2,
3,
3,
4,
3,
6,
2,
4,
4,
2,
3,
2,
3,
4,
4,
3,
3,
2,
2,
3,
2,
2,
5,
4,
2,
4,
4,
2,
4,
5,
6,
3,
4,
4,
4,
5,
7,
2,
2,
2,
2,
2,
2,
1,
2,
5,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
4,
3,
3,
2,
2,
2,
3,
4,
3,
4,
4,
4,
4,
4,
5,
4,
2,
3,
2,
2,
2,
4,
4,
4,
3,
4,
2,
3,
4,
2,
3,
3,
3,
2,
4,
3,
2,
2,
3,
3,
2,
4,
4,
6,
4,
4,
3,
4,
4,
2,
2,
2,
4,
5,
4,
4,
5,
4,
4,
2,
4,
2,
2,
4,
2,
2,
4,
4,
1,
4,
1,
2,
1,
4,
4,
4,
3,
2,
2,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
5,
5,
3,
4,
4,
2,
2,
4,
3,
2,
2,
3,
4,
2,
2,
2,
3,
2,
4,
2,
4,
4,
4,
3,
2,
1,
1,
3,
3,
3,
2,
2,
4,
2,
6,
2,
5,
3,
2,
4,
3,
9,
8,
3,
2,
3,
2,
3,
3,
2,
3,
3,
2,
2,
2,
3,
3,
5,
4,
2,
6,
3,
3,
3,
1,
3,
3,
4,
4,
3,
4,
3,
4,
3,
2,
5,
4,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
3,
3,
7,
3,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
1,
3,
2,
1,
2,
2,
6,
2,
3,
3,
2,
2,
4,
2,
3,
4,
4,
4,
4,
3,
2,
2,
5,
3,
4,
3,
1,
1,
2,
1,
1,
1,
1,
2,
2,
2,
1,
2,
3,
4,
2,
2,
5,
4,
3,
5,
5,
5,
4,
5,
5,
2,
4,
4,
4,
4,
4,
5,
2,
2,
2,
6,
2,
2,
2,
3,
2,
2,
1,
2,
3,
2,
2,
2,
1,
3,
3,
2,
2,
2,
10,
2,
2,
2,
2,
3,
3,
5,
6,
4,
3,
3,
3,
2,
4,
4,
2,
2,
2,
3,
4,
3,
4,
2,
4,
4,
4,
4,
4,
3,
2,
4,
2,
2,
3,
3,
4,
3,
5,
2,
3,
2,
4,
2,
3,
3,
3,
4,
3,
3,
3,
4,
4,
4,
4,
3,
3,
3,
2,
2,
3,
4,
3,
2,
3,
1,
3,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
3,
5,
4,
3,
4,
5,
3,
3,
4,
7,
3,
3,
2,
2,
3,
3,
1,
3,
3,
3,
4,
3,
3,
4,
5,
4,
5,
4,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
3,
4,
4,
4,
3,
2,
2,
2,
1,
2,
3,
2,
3,
3,
4,
4,
4,
4,
4,
4,
2,
4,
5,
5,
5,
2,
3,
4,
2,
2,
3,
2,
2,
3,
3,
2,
4,
3,
3,
3,
2,
3,
2,
3,
3,
3,
2,
4,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
3,
2,
3,
2,
4,
2,
2,
2,
4,
2,
5,
2,
4,
4,
3,
3,
3,
1,
3,
3,
3,
3,
3,
2,
5,
3,
4,
4,
3,
4,
4,
4,
4,
3,
4,
4,
3,
2,
3,
4,
6,
6,
6,
5,
2,
3,
2,
3,
2,
4,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
2,
3,
3,
2,
3,
4,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
4,
2,
3,
2,
6,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
5,
4,
4,
2,
4,
3,
2,
7,
2,
2,
2,
2,
2,
3,
3,
3,
7,
2,
4,
4,
4,
5,
6,
3,
2,
5,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
3,
4,
4,
2,
4,
4,
2,
4,
4,
4,
2,
2,
2,
3,
2,
2,
4,
2,
3,
3,
2,
2,
3,
2,
2,
2,
2,
7,
3,
4,
2,
6,
5,
3,
3,
5,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
3,
2,
2,
3,
3,
2,
4,
2,
2,
4,
4,
4,
4,
4,
3,
4,
4,
5,
3,
2,
4,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
6,
3,
3,
2,
3,
2,
3,
3,
2,
2,
3,
3,
2,
3,
4,
2,
5,
5,
2,
4,
3,
4,
4,
2,
4,
4,
2,
4,
3,
3,
2,
2,
2,
3,
2,
4,
2,
2,
1,
2,
2,
2,
2,
4,
3,
2,
1,
3,
3,
4,
2,
2,
3,
3,
4,
2,
4,
2,
5,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
4,
3,
3,
3,
2,
2,
2,
2,
4,
4,
6,
3,
3,
4,
4,
4,
4,
2,
2,
3,
3,
3,
2,
2,
2,
2,
3,
2,
3,
3,
3,
4,
4,
2,
4,
4,
2,
1,
2,
3,
4,
2,
4,
2,
2,
2,
2,
3,
3,
4,
4,
4,
2,
3,
4,
3,
3,
2,
2,
5,
2,
3,
5,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
2,
2,
2,
2,
2,
2,
2,
5,
2,
4,
2,
3,
4,
2,
2,
2,
2,
2,
3,
4,
3,
4,
4,
4,
2,
3,
3,
3,
5,
6,
4,
2,
5,
2,
3,
2,
4,
2,
3,
3,
2,
3,
3,
3,
3,
1,
3,
1,
3,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
5,
5,
4,
2,
4,
4,
4,
4,
4,
4,
5,
2,
4,
4,
4,
3,
3,
4,
2,
4,
3,
4,
4,
3,
4,
2,
4,
2,
2,
3,
5,
5,
5,
4,
5,
4,
3,
3,
4,
4,
2,
2,
2,
4,
2,
2,
3,
2,
4,
6,
6,
4,
5,
4,
3,
3,
5,
3,
2,
4,
2,
2,
2,
4,
2,
6,
4,
4,
4,
4,
2,
3,
8,
8,
8,
4,
4,
6,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
5,
5,
4,
4,
3,
3,
4,
4,
5,
4,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
1,
2,
2,
10,
4,
1,
4,
4,
4,
2,
2,
2,
2,
4,
3,
3,
4,
4,
4,
2,
2,
3,
4,
4,
7,
4,
4,
4,
4,
4,
4,
4,
1,
4,
1,
3,
2,
3,
4,
3,
2,
3,
4,
4,
2,
2,
1,
3,
3,
4,
4,
3,
3,
3,
4,
3,
3,
2,
3,
5,
5,
3,
6,
4,
3,
3,
3,
3,
4,
3,
4,
2,
3,
2,
2,
2,
3,
2,
3,
2,
4,
5,
3,
3,
5,
3,
3,
3,
3,
3,
3,
4,
3,
4,
3,
3,
5,
3,
3,
2,
2,
2,
4,
4,
4,
4,
3,
4,
2,
1,
2,
3,
5,
2,
2,
2,
2,
4,
2,
2,
2,
5,
2,
7,
2,
2,
4,
4,
4,
3,
4,
4,
3,
2,
2,
2,
4,
4,
2,
3,
2,
2,
2,
4,
4,
4,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
5,
5,
2,
5,
4,
2,
3,
4,
3,
3,
6,
2,
2,
4,
2,
2,
4,
4,
4,
4,
2,
3,
3,
2,
2,
4,
4,
3,
2,
3,
2,
3,
3,
3,
5,
3,
5,
3,
2,
3,
5,
8,
6,
2,
4,
2,
4,
2,
4,
4,
2,
4,
3,
4,
4,
3,
2,
2,
2,
2,
2,
4,
3,
3,
4,
3,
4,
3,
3,
2,
2,
3,
3,
3,
3,
3,
6,
4,
2,
5,
3,
2,
3,
2,
2,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
2,
3,
2,
2,
3,
3,
3,
3,
4,
2,
6,
7,
2,
2,
3,
2,
6,
3,
4,
3,
3,
4,
4,
3,
2,
2,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
3,
5,
2,
3,
2,
2,
2,
3,
2,
4,
2,
2,
4,
3,
3,
3,
4,
5,
3,
2,
2,
2,
2,
2,
2,
3,
2,
1,
3,
2,
1,
1,
2,
2,
1,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
3,
5,
4,
4,
3,
3,
2,
2,
4,
4,
4,
4,
2,
2,
3,
3,
2,
2,
2,
2,
3,
2,
3,
3,
3,
4,
2,
2,
2,
3,
2,
3,
2,
4,
4,
2,
4,
4,
4,
1,
6,
2,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
4,
3,
5,
5,
4,
4,
5,
2,
2,
3,
3,
7,
2,
4,
4,
2,
4,
2,
4,
2,
2,
2,
2,
3,
3,
4,
2,
2,
3,
4,
4,
2,
2,
2,
2,
2,
1,
4,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
5,
4,
3,
4,
2,
3,
5,
3,
2,
4,
2,
3,
3,
2,
3,
2,
4,
2,
2,
7,
4,
4,
4,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
2,
2,
4,
3,
2,
3,
3,
5,
2,
7,
4,
3,
4,
4,
3,
4,
5,
4,
5,
6,
6,
6,
4,
4,
4,
4,
3,
3,
2,
3,
3,
5,
1,
2,
3,
4,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
1,
4,
3,
7,
3,
3,
4,
2,
3,
4,
2,
6,
6,
2,
4,
3,
3,
4,
4,
4,
2,
4,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
3,
4,
4,
3,
4,
2,
2,
3,
3,
3,
3,
5,
4,
4,
4,
3,
2,
2,
2,
3,
2,
2,
3,
4,
5,
4,
3,
4,
7,
2,
3,
4,
4,
4,
2,
2,
3,
2,
4,
3,
3,
2,
2,
4,
2,
4,
3,
4,
2,
6,
2,
4,
2,
3,
2,
2,
3,
2,
2,
1,
2,
3,
3,
2,
3,
4,
4,
4,
3,
2,
2,
2,
3,
2,
5,
3,
5,
4,
6,
4,
2,
2,
2,
4,
4,
4,
4,
7,
3,
5,
2,
4,
4,
2,
3,
4,
2,
2,
3,
4,
4,
3,
2,
3,
2,
4,
3,
4,
4,
4,
4,
2,
2,
4,
2,
2,
3,
4,
1,
2,
1,
1,
2,
1,
4,
3,
3,
2,
2,
3,
3,
5,
4,
2,
4,
4,
2,
5,
3,
3,
3,
2,
3,
2,
2,
2,
2,
4,
4,
5,
4,
4,
4,
4,
4,
5,
4,
4,
4,
4,
4,
3,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
2,
4,
4,
2,
2,
3,
2,
2,
5,
2,
2,
3,
3,
2,
2,
2,
2,
2,
4,
4,
5,
4,
2,
4,
4,
3,
5,
2,
2,
5,
3,
3,
2,
4,
2,
2,
3,
3,
2,
6,
3,
2,
3,
5,
4,
4,
3,
3,
5,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
4,
3,
3,
3,
5,
3,
4,
4,
4,
4,
4,
4,
3,
6,
2,
2,
2,
2,
4,
4,
8,
8,
2,
5,
2,
2,
4,
2,
2,
2,
4,
2,
3,
4,
4,
2,
4,
2,
4,
2,
2,
3,
4,
3,
5,
3,
5,
3,
8,
2,
2,
1,
1,
3,
1,
1,
3,
4,
4,
4,
3,
2,
4,
2,
2,
4,
4,
4,
4,
3,
2,
4,
3,
4,
2,
2,
2,
1,
2,
3,
3,
4,
5,
5,
3,
3,
3,
4,
4,
3,
6,
4,
5,
2,
2,
2,
1,
5,
3,
2,
3,
3,
4,
3,
3,
5,
4,
2,
4,
4,
6,
3,
3,
4,
3,
3,
2,
2,
2,
4,
4,
4,
4,
3,
4,
2,
4,
7,
4,
4,
2,
2,
2,
3,
3,
2,
4,
3,
4,
3,
4,
3,
4,
5,
3,
2,
4,
4,
4,
4,
3,
2,
2,
6,
2,
3,
4,
6,
2,
2,
3,
7,
2,
4,
4,
4,
4,
4,
4,
4,
1,
3,
3,
2,
2,
2,
4,
2,
1,
2,
4,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
1,
4,
5,
5,
2,
3,
3,
3,
2,
7,
3,
5,
2,
2,
1,
2,
2,
3,
2,
3,
3,
3,
5,
2,
2,
2,
2,
2,
3,
2,
5,
4,
2,
4,
4,
4,
3,
3,
3,
3,
2,
4,
4,
4,
3,
2,
2,
4,
2,
2,
2,
2,
2,
3,
4,
2,
1,
2,
2,
3,
3,
2,
2,
4,
6,
3,
2,
2,
2,
2,
2,
3,
4,
3,
3,
3,
1,
4,
3,
2,
4,
2,
6,
2,
5,
5,
2,
3,
3,
3,
3,
2,
2,
4,
2,
3,
3,
2,
4,
2,
1,
2,
4,
2,
4,
4,
1,
2,
2,
3,
3,
3,
3,
2,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
1,
2,
2,
6,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
3,
3,
4,
3,
4,
2,
3,
3,
3,
2,
2,
2,
4,
5,
4,
4,
2,
2,
4,
3,
5,
3,
4,
4,
3,
3,
4,
3,
3,
3,
7,
4,
2,
4,
7,
7,
2,
2,
3,
6,
2,
2,
3,
5,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
1,
4,
4,
2,
3,
2,
2,
2,
3,
3,
5,
3,
2,
2,
3,
2,
2,
4,
3,
2,
5,
2,
2,
2,
2,
2,
2,
5,
4,
4,
4,
4,
4,
3,
3,
4,
3,
4,
4,
6,
2,
4,
4,
4,
2,
3,
8,
6,
4,
8,
5,
5,
4,
5,
5,
3,
2,
5,
5,
3,
5,
4,
4,
3,
3,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
5,
4,
4,
4,
1,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
4,
4,
2,
4,
4,
4,
3,
2,
3,
3,
3,
3,
4,
4,
3,
3,
2,
2,
4,
3,
2,
3,
2,
2,
1,
3,
6,
4,
2,
2,
4,
4,
2,
3,
2,
2,
3,
3,
1,
3,
4,
2,
2,
4,
4,
2,
2,
3,
1,
3,
2,
3,
3,
3,
4,
2,
4,
4,
2,
2,
2,
2,
3,
2,
2,
6,
5,
3,
1,
4,
4,
2,
2,
2,
3,
3,
3,
3,
5,
2,
2,
4,
3,
7,
7,
2,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
4,
4,
2,
4,
4,
3,
2,
3,
3,
2,
3,
2,
4,
4,
2,
4,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
4,
4,
4,
4,
4,
2,
4,
2,
2,
3,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
6,
2,
2,
4,
5,
4,
5,
5,
5,
5,
5,
5,
5,
5,
6,
3,
2,
4,
3,
3,
3,
2,
2,
4,
6,
4,
2,
5,
4,
2,
4,
4,
4,
3,
3,
4,
4,
3,
3,
4,
3,
2,
2,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
5,
3,
2,
3,
2,
3,
3,
3,
1,
1,
2,
2,
2,
2,
2,
3,
4,
2,
4,
3,
4,
4,
3,
3,
3,
2,
3,
3,
3,
3,
4,
2,
4,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
4,
2,
4,
3,
3,
5,
5,
6,
3,
3,
3,
4,
4,
4,
5,
3,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
3,
2,
2,
3,
2,
3,
5,
3,
4,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
7,
4,
2,
3,
3,
6,
2,
3,
2,
2,
2,
4,
4,
4,
3,
3,
2,
3,
3,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
3,
3,
3,
2,
2,
2,
2,
4,
3,
2,
2,
2,
3,
4,
4,
4,
3,
5,
3,
3,
5,
7,
2,
2,
4,
2,
6,
4,
4,
4,
2,
3,
4,
4,
6,
4,
4,
2,
2,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
5,
5,
5,
5,
5,
5,
5,
4,
3,
2,
2,
2,
3,
2,
5,
2,
4,
4,
8,
4,
2,
2,
6,
4,
4,
4,
4,
5,
4,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
5,
3,
8,
3,
2,
4,
4,
4,
5,
3,
3,
3,
5,
5,
4,
5,
2,
5,
3,
3,
2,
3,
3,
3,
3,
5,
4,
5,
4,
4,
4,
4,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
3,
2,
4,
4,
4,
2,
4,
7,
8,
4,
4,
5,
5,
5,
5,
4,
4,
3,
3,
2,
4,
4,
5,
5,
5,
7,
7,
5,
4,
4,
4,
3,
3,
3,
4,
4,
3,
2,
3,
4,
4,
3,
3,
3,
3,
3,
1,
6,
6,
6,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
1,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
1,
4,
2,
2,
2,
2,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
6,
6,
3,
3,
4,
3,
3,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
4,
5,
4,
3,
3,
4,
4,
5,
4,
1,
3,
6,
7,
7,
4,
7,
5,
5,
2,
2,
5,
5,
4,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
3,
4,
4,
4,
3,
3,
2,
5,
5,
5,
4,
3,
3,
3,
3,
4,
4,
6,
4,
3,
4,
5,
4,
2,
4,
3,
4,
6,
3,
4,
4,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
4,
2,
6,
3,
4,
4,
2,
5,
2,
5,
6,
4,
2,
4,
4,
3,
4,
4,
2,
4,
5,
4,
2,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
3,
3,
3,
4,
1,
2,
4,
3,
4,
2,
4,
4,
3,
3,
1,
4,
4,
7,
7,
2,
4,
2,
4,
3,
3,
5,
3,
3,
3,
3,
4,
3,
4,
3,
3,
3,
4,
4,
4,
4,
2,
4,
4,
2,
4,
4,
4,
2,
4,
3,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
4,
4,
2,
3,
4,
6,
6,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
1,
3,
2,
3,
2,
3,
3,
6,
2,
2,
2,
6,
4,
3,
3,
3,
2,
4,
4,
4,
4,
4,
3,
2,
3,
2,
4,
2,
4,
4,
4,
3,
3,
7,
4,
5,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
3,
2,
2,
4,
5,
4,
4,
2,
4,
4,
5,
3,
3,
4,
4,
4,
3,
4,
4,
5,
3,
3,
3,
2,
4,
4,
3,
3,
3,
3,
4,
3,
3,
3,
3,
7,
7,
2,
2,
4,
3,
2,
6,
3,
3,
3,
3,
4,
4,
5,
3,
4,
4,
4,
3,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
3,
2,
5,
5,
4,
3,
3,
3,
5,
5,
6,
5,
5,
3,
5,
5,
5,
6,
6,
3,
3,
4,
4,
4,
3,
3,
4,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
6,
3,
2,
2,
4,
4,
4,
5,
3,
3,
4,
4,
4,
3,
3,
4,
3,
3,
3,
3,
4,
2,
1,
4,
4,
3,
3,
4,
4,
3,
6,
3,
4,
6,
4,
3,
5,
7,
3,
2,
4,
4,
3,
7,
2,
3,
4,
3,
4,
4,
3,
2,
2,
2,
3,
2,
4,
3,
3,
5,
7,
5,
7,
3,
3,
2,
2,
3,
2,
1,
4,
4,
4,
2,
2,
6,
2,
4,
7,
3,
3,
2,
6,
3,
5,
3,
2,
2,
2,
3,
4,
5,
2,
4,
3,
3,
3,
3,
3,
3,
5,
3,
5,
4,
6,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
4,
3,
3,
3,
3,
2,
2,
7,
2,
3,
3,
4,
4,
4,
3,
2,
3,
2,
3,
4,
3,
4,
4,
3,
5,
3,
2,
3,
3,
2,
3,
3,
3,
3,
2,
2,
3,
3,
2,
8,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
5,
8,
3,
4,
2,
4,
2,
4,
4,
2,
4,
2,
2,
5,
3,
3,
3,
4,
4,
5,
4,
5,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
4,
5,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
5,
5,
3,
3,
2,
3,
4,
4,
3,
3,
4,
2,
4,
2,
2,
3,
5,
3,
2,
4,
4,
4,
2,
3,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
1,
2,
3,
3,
2,
4,
5,
4,
3,
2,
4,
2,
3,
4,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
4,
5,
3,
2,
4,
2,
2,
6,
3,
6,
2,
3,
2,
4,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
5,
2,
4,
2,
3,
3,
3,
5,
4,
4,
4,
5,
4,
5,
3,
5,
4,
7,
6,
3,
3,
2,
2,
4,
3,
3,
4,
4,
3,
5,
3,
4,
4,
4,
5,
4,
3,
4,
3,
3,
4,
2,
3,
3,
4,
3,
3,
3,
3,
3,
6,
4,
4,
3,
5,
3,
5,
3,
5,
3,
4,
3,
4,
4,
4,
2,
3,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
4,
2,
2,
3,
3,
2,
2,
2,
2,
3,
4,
2,
2,
2,
3,
5,
4,
4,
4,
2,
4,
2,
4,
4,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
4,
3,
4,
3,
6,
6,
6,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
6,
7,
3,
6,
5,
6,
2,
6,
4,
5,
4,
4,
6,
5,
4,
4,
1,
1,
3,
2,
2,
1,
2,
2,
5,
4,
6,
5,
6,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
5,
5,
4,
3,
4,
4,
4,
5,
2,
3,
2,
4,
2,
2,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
4,
2,
4,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
4,
5,
4,
3,
2,
3,
4,
4,
4,
6,
4,
3,
3,
4,
4,
4,
4,
4,
4,
5,
4,
3,
6,
2,
2,
3,
3,
5,
6,
4,
4,
3,
4,
4,
3,
2,
3,
4,
4,
4,
2,
2,
2,
2,
4,
4,
2,
4,
3,
2,
4,
5,
3,
4,
3,
2,
5,
3,
4,
4,
3,
4,
2,
3,
6,
3,
2,
4,
4,
3,
3,
4,
3,
2,
4,
4,
2,
2,
2,
4,
1,
2,
2,
3,
3,
2,
3,
4,
2,
3,
3,
5,
4,
3,
3,
3,
4,
3,
4,
3,
5,
5,
1,
5,
4,
4,
1,
4,
3,
4,
2,
4,
4,
2,
3,
4,
6,
4,
2,
5,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
4,
4,
3,
4,
3,
2,
4,
2,
4,
1,
4,
2,
3,
3,
3,
4,
4,
4,
3,
4,
3,
4,
5,
3,
3,
3,
2,
3,
4,
4,
2,
4,
4,
1,
1,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
6,
4,
4,
2,
3,
3,
3,
2,
4,
3,
4,
2,
1,
3,
2,
3,
3,
3,
2,
3,
3,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
1,
6,
3,
4,
6,
4,
4,
3,
4,
5,
3,
3,
2,
3,
3,
3,
3,
3,
1,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
5,
3,
2,
3,
3,
3,
4,
3,
4,
4,
4,
4,
5,
3,
2,
3,
3,
3,
2,
2,
2,
2,
4,
4,
2,
2,
2,
3,
3,
2,
2,
4,
2,
4,
4,
6,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
4,
6,
4,
3,
4,
2,
4,
4,
4,
4,
4,
3,
3,
4,
6,
3,
5,
4,
4,
3,
2,
3,
4,
6,
4,
4,
4,
4,
3,
4,
4,
2,
5,
5,
4,
4,
4,
4,
4,
2,
2,
4,
4,
3,
4,
4,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
3,
7,
2,
5,
5,
5,
5,
5,
5,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
3,
2,
4,
2,
5,
4,
4,
2,
2,
2,
1,
3,
4,
2,
2,
3,
4,
2,
4,
2,
3,
3,
4,
2,
2,
2,
3,
6,
2,
4,
3,
4,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
5,
4,
4,
2,
3,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
3,
3,
4,
2,
2,
2,
2,
2,
3,
6,
3,
3,
4,
4,
2,
3,
3,
5,
7,
4,
4,
3,
3,
3,
4,
4,
4,
3,
4,
6,
4,
2,
5,
4,
4,
4,
3,
2,
2,
2,
3,
2,
5,
1,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
4,
7,
3,
3,
2,
3,
5,
3,
5,
3,
5,
3,
5,
5,
2,
4,
6,
5,
5,
6,
3,
4,
4,
4,
2,
2,
4,
4,
4,
4,
5,
4,
2,
2,
4,
4,
3,
4,
3,
2,
2,
3,
3,
3,
4,
2,
2,
4,
2,
5,
2,
4,
2,
2,
2,
4,
2,
3,
3,
4,
2,
3,
2,
3,
3,
3,
3,
4,
2,
2,
4,
3,
6,
6,
4,
3,
5,
5,
4,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
2,
4,
7,
4,
4,
4,
4,
4,
4,
8,
4,
2,
2,
4,
3,
4,
4,
6,
3,
3,
3,
2,
2,
4,
4,
4,
3,
2,
4,
2,
4,
4,
2,
3,
4,
3,
3,
2,
3,
3,
2,
2,
3,
2,
2,
1,
4,
3,
3,
2,
4,
4,
3,
4,
3,
2,
2,
5,
2,
5,
4,
4,
4,
4,
4,
5,
4,
3,
4,
6,
2,
7,
3,
3,
3,
3,
3,
3,
2,
2,
8,
2,
3,
3,
4,
4,
2,
2,
5,
4,
4,
4,
5,
4,
2,
3,
2,
3,
5,
5,
4,
5,
2,
2,
2,
4,
3,
4,
3,
3,
2,
3,
3,
4,
3,
2,
4,
2,
4,
5,
5,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
2,
4,
4,
5,
4,
3,
3,
5,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
5,
4,
4,
2,
3,
5,
2,
2,
2,
2,
3,
3,
2,
4,
2,
2,
2,
2,
4,
4,
4,
4,
6,
3,
2,
2,
4,
4,
4,
4,
4,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
1,
1,
4,
2,
3,
1,
3,
3,
3,
2,
4,
3,
4,
4,
4,
1,
4,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
3,
4,
7,
3,
6,
2,
4,
2,
5,
2,
3,
3,
2,
2,
5,
5,
5,
4,
2,
3,
4,
3,
2,
2,
2,
4,
2,
2,
4,
4,
4,
2,
1,
4,
4,
4,
4,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
4,
3,
3,
7,
4,
6,
6,
9,
8,
4,
5,
4,
4,
4,
4,
1,
2,
3,
2,
2,
4,
3,
3,
3,
7,
6,
6,
4,
2,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
4,
3,
3,
4,
2,
4,
5,
4,
3,
4,
4,
4,
3,
3,
3,
3,
6,
4,
4,
4,
3,
4,
2,
2,
1,
1,
1,
2,
1,
2,
4,
1,
2,
6,
4,
3,
3,
2,
2,
4,
4,
8,
2,
2,
5,
6,
6,
5,
8,
2,
4,
3,
3,
3,
3,
2,
2,
1,
5,
2,
4,
6,
3,
4,
4,
4,
4,
5,
3,
3,
6,
3,
4,
4,
4,
4,
4,
2,
2,
4,
2,
2,
4,
2,
1,
2,
2,
3,
2,
3,
2,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
1,
3,
4,
2,
3,
2,
3,
4,
4,
4,
4,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
5,
2,
4,
3,
4,
4,
4,
2,
4,
4,
3,
5,
4,
4,
4,
4,
3,
3,
3,
3,
3,
5,
3,
4,
2,
4,
2,
4,
4,
4,
4,
4,
5,
4,
2,
2,
2,
4,
4,
4,
1,
3,
3,
1,
4,
3,
3,
3,
3,
3,
4,
2,
4,
4,
2,
6,
3,
2,
4,
4,
4,
4,
2,
2,
3,
2,
4,
2,
2,
3,
1,
3,
7,
3,
6,
4,
4,
4,
5,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
3,
4,
3,
3,
4,
4,
4,
3,
4,
4,
2,
4,
4,
4,
4,
2,
2,
7,
2,
4,
3,
2,
2,
4,
2,
3,
4,
4,
4,
4,
2,
2,
4,
3,
5,
3,
5,
3,
3,
4,
4,
4,
5,
3,
3,
4,
2,
4,
2,
2,
2,
2,
2,
4,
3,
3,
6,
3,
2,
4,
3,
2,
3,
3,
3,
2,
3,
4,
2,
2,
2,
2,
3,
3,
5,
3,
4,
4,
4,
4,
3,
4,
4,
2,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
3,
2,
2,
3,
3,
3,
2,
2,
3,
3,
2,
3,
6,
4,
3,
3,
4,
4,
4,
5,
5,
6,
5,
5,
3,
2,
3,
2,
3,
3,
3,
4,
2,
3,
3,
4,
4,
2,
2,
3,
4,
3,
2,
3,
2,
2,
3,
2,
3,
4,
2,
3,
5,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
3,
4,
3,
2,
2,
1,
2,
2,
3,
2,
3,
2,
3,
4,
4,
3,
4,
3,
2,
3,
3,
4,
1,
3,
2,
3,
3,
4,
3,
2,
3,
2,
3,
3,
5,
4,
5,
4,
3,
4,
3,
2,
3,
2,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
2,
5,
20,
3,
2,
4,
4,
3,
3,
3,
3,
4,
2,
3,
5,
5,
6,
2,
4,
2,
3,
4,
2,
4,
3,
4,
3,
3,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
5,
3,
2,
3,
2,
4,
2,
2,
2,
2,
3,
5,
4,
7,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
1,
2,
2,
5,
3,
2,
4,
4,
2,
1,
3,
3,
1,
1,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
2,
3,
2,
1,
3,
3,
2,
3,
4,
5,
3,
4,
5,
3,
5,
3,
3,
2,
4,
4,
4,
4,
4,
2,
4,
2,
3,
5,
3,
3,
6,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
2,
2,
2,
4,
3,
2,
2,
2,
2,
3,
2,
4,
2,
2,
4,
3,
2,
4,
3,
3,
2,
3,
3,
3,
5,
3,
2,
4,
4,
3,
1,
2,
2,
3,
2,
2,
3,
2,
3,
2,
2,
3,
4,
4,
4,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
4,
2,
6,
4,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
5,
6,
3,
3,
3,
4,
4,
3,
3,
2,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
4,
2,
4,
2,
3,
2,
2,
3,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
4,
3,
3,
3,
6,
5,
5,
4,
3,
3,
4,
4,
4,
3,
3,
3,
3,
4,
3,
2,
2,
4,
4,
3,
4,
2,
1,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
4,
2,
4,
4,
4,
5,
1,
5,
4,
4,
4,
5,
4,
4,
4,
4,
3,
3,
5,
3,
2,
2,
4,
4,
3,
3,
3,
5,
4,
5,
4,
2,
3,
2,
3,
3,
3,
2,
4,
5,
5,
2,
5,
4,
3,
3,
3,
4,
2,
4,
6,
5,
4,
4,
4,
4,
4,
4,
4,
4,
6,
5,
4,
5,
4,
2,
3,
2,
1,
3,
4,
2,
3,
2,
2,
4,
3,
4,
2,
4,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
4,
2,
2,
3,
7,
6,
2,
2,
2,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
3,
3,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
1,
3,
2,
2,
3,
5,
3,
5,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
4,
4,
4,
2,
3,
3,
2,
2,
4,
2,
1,
4,
3,
3,
3,
3,
3,
2,
1,
3,
2,
2,
3,
4,
4,
2,
4,
4,
2,
4,
4,
3,
3,
3,
2,
2,
2,
5,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
3,
3,
2,
2,
3,
2,
2,
4,
4,
2,
3,
2,
2,
2,
2,
2,
1,
2,
3,
2,
2,
2,
2,
4,
4,
5,
4,
7,
4,
2,
2,
2,
5,
2,
2,
3,
2,
3,
2,
5,
5,
4,
2,
2,
4,
2,
2,
2,
2,
2,
3,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
2,
4,
5,
2,
3,
3,
3,
5,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
6,
3,
3,
2,
3,
5,
4,
4,
9,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
4,
3,
4,
3,
4,
2,
3,
4,
5,
3,
3,
4,
3,
2,
2,
2,
3,
2,
3,
5,
5,
2,
3,
2,
3,
4,
3,
2,
2,
3,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
4,
6,
5,
5,
2,
2,
2,
2,
2,
2,
4,
2,
3,
2,
6,
3,
5,
6,
3,
2,
7,
3,
2,
3,
3,
2,
2,
6,
3,
2,
4,
4,
4,
4,
2,
4,
4,
2,
2,
2,
1,
2,
5,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
3,
4,
3,
2,
2,
2,
2,
4,
4,
2,
2,
4,
5,
3,
4,
4,
2,
2,
3,
3,
4,
2,
4,
6,
4,
3,
4,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
4,
3,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
5,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
2,
3,
2,
4,
4,
4,
2,
4,
3,
5,
5,
3,
4,
4,
3,
3,
4,
3,
3,
4,
3,
3,
3,
3,
1,
2,
2,
1,
2,
1,
2,
4,
2,
2,
2,
6,
6,
4,
4,
4,
4,
2,
2,
3,
2,
2,
2,
3,
4,
3,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
6,
2,
3,
3,
2,
3,
1,
2,
3,
2,
1,
4,
3,
3,
2,
4,
3,
4,
2,
3,
4,
2,
4,
4,
4,
4,
2,
4,
4,
9,
3,
2,
2,
2,
5,
2,
4,
2,
5,
5,
3,
4,
2,
4,
2,
3,
4,
4,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
5,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
3,
3,
5,
4,
2,
2,
2,
2,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
3,
3,
5,
1,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
2,
2,
2,
3,
2,
2,
3,
3,
4,
4,
2,
2,
4,
4,
4,
4,
2,
2,
4,
3,
2,
5,
4,
3,
4,
2,
5,
3,
2,
2,
4,
2,
4,
2,
4,
5,
3,
3,
2,
3,
2,
2,
4,
2,
2,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
3,
2,
7,
3,
2,
5,
3,
3,
2,
2,
2,
3,
4,
6,
2,
4,
3,
2,
2,
4,
4,
2,
3,
2,
6,
3,
2,
2,
2,
2,
2,
5,
5,
2,
3,
5,
4,
4,
4,
3,
4,
5,
4,
3,
3,
2,
5,
2,
3,
4,
4,
4,
3,
4,
5,
4,
4,
5,
4,
4,
4,
4,
4,
6,
4,
2,
4,
3,
2,
2,
5,
3,
2,
2,
3,
4,
2,
3,
4,
4,
5,
4,
4,
4,
3,
4,
4,
4,
2,
2,
3,
2,
3,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
4,
4,
4,
4,
3,
8,
2,
2,
2,
3,
2,
3,
3,
6,
4,
2,
2,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
3,
3,
3,
3,
3,
4,
2,
3,
4,
3,
3,
2,
3,
3,
3,
3,
4,
3,
2,
4,
2,
5,
4,
3,
2,
4,
5,
2,
4,
4,
3,
1,
8,
2,
3,
3,
3,
3,
4,
4,
3,
3,
4,
6,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
2,
3,
6,
6,
3,
4,
4,
2,
2,
2,
3,
2,
4,
2,
2,
2,
4,
2,
3,
3,
4,
4,
4,
4,
6,
4,
4,
4,
4,
4,
6,
4,
4,
5,
5,
5,
5,
6,
3,
3,
3,
3,
3,
3,
2,
3,
5,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
4,
2,
4,
4,
4,
4,
5,
3,
4,
2,
3,
3,
3,
3,
2,
4,
4,
6,
4,
2,
2,
4,
2,
2,
1,
4,
2,
1,
3,
1,
2,
2,
6,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
2,
4,
2,
2,
6,
2,
2,
2,
2,
2,
2,
2,
2,
5,
5,
3,
2,
3,
2,
3,
4,
6,
3,
5,
3,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
3,
4,
4,
3,
5,
3,
5,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
2,
2,
2,
2,
3,
2,
3,
2,
2,
4,
2,
2,
3,
3,
5,
4,
5,
4,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
4,
3,
4,
2,
4,
3,
2,
5,
2,
3,
3,
5,
2,
2,
3,
3,
4,
4,
3,
2,
2,
2,
5,
3,
2,
2,
3,
3,
2,
3,
5,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
5,
2,
5,
4,
2,
4,
4,
4,
3,
3,
5,
5,
2,
2,
2,
3,
6,
4,
5,
3,
4,
3,
5,
3,
2,
5,
3,
3,
3,
6,
3,
7,
3,
2,
4,
4,
4,
4,
4,
2,
4,
3,
3,
2,
2,
3,
2,
4,
4,
4,
6,
5,
2,
2,
2,
4,
4,
2,
2,
4,
2,
6,
2,
3,
2,
3,
4,
2,
5,
4,
4,
2,
4,
4,
4,
4,
4,
2,
2,
6,
3,
3,
3,
4,
3,
5,
4,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
1,
4,
3,
4,
4,
4,
6,
4,
4,
2,
4,
2,
4,
3,
2,
2,
3,
7,
3,
4,
4,
4,
2,
2,
3,
2,
5,
3,
3,
3,
3,
3,
2,
2,
2,
1,
3,
3,
2,
3,
2,
4,
2,
4,
4,
1,
2,
4,
2,
3,
5,
5,
4,
4,
2,
4,
2,
2,
2,
5,
4,
6,
4,
3,
3,
3,
3,
3,
4,
3,
2,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
2,
4,
2,
2,
3,
5,
4,
2,
4,
6,
6,
4,
4,
2,
2,
1,
2,
2,
6,
4,
4,
2,
2,
2,
2,
2,
6,
2,
2,
3,
2,
2,
2,
2,
4,
3,
3,
3,
5,
3,
3,
4,
4,
4,
4,
7,
3,
5,
3,
3,
4,
4,
5,
3,
3,
4,
3,
4,
5,
2,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
6,
2,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
6,
6,
4,
3,
5,
5,
5,
3,
2,
3,
3,
2,
3,
4,
3,
3,
4,
3,
11,
3,
4,
3,
4,
3,
4,
2,
2,
3,
2,
3,
3,
3,
2,
4,
5,
5,
8,
4,
3,
4,
2,
3,
3,
4,
4,
4,
2,
2,
5,
4,
4,
4,
4,
4,
2,
4,
5,
2,
4,
4,
4,
3,
4,
2,
4,
4,
2,
4,
4,
3,
4,
1,
2,
1,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
1,
3,
4,
3,
3,
4,
4,
2,
2,
2,
5,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
2,
3,
3,
4,
4,
6,
5,
3,
4,
4,
2,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
2,
2,
2,
4,
2,
2,
2,
2,
4,
3,
2,
4,
3,
4,
2,
4,
3,
1,
1,
4,
2,
2,
2,
2,
3,
3,
3,
4,
4,
3,
7,
6,
2,
5,
2,
2,
2,
3,
4,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
4,
1,
3,
2,
2,
4,
6,
4,
4,
2,
2,
2,
2,
3,
4,
8,
4,
4,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
6,
3,
2,
3,
2,
2,
3,
4,
3,
2,
3,
4,
2,
4,
2,
4,
4,
4,
3,
3,
4,
4,
2,
3,
1,
4,
2,
2,
4,
4,
4,
3,
4,
4,
3,
3,
4,
4,
3,
2,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
2,
2,
4,
4,
2,
3,
2,
2,
4,
4,
2,
1,
2,
4,
5,
4,
3,
3,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
8,
2,
2,
1,
2,
3,
3,
4,
4,
3,
8,
3,
3,
2,
4,
3,
2,
2,
4,
6,
3,
4,
3,
3,
4,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
7,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
5,
2,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
3,
2,
4,
3,
3,
2,
4,
2,
2,
2,
4,
3,
4,
3,
4,
3,
3,
3,
3,
3,
2,
2,
3,
4,
4,
4,
4,
3,
2,
4,
4,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
3,
4,
4,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
2,
5,
3,
4,
2,
4,
4,
2,
2,
3,
2,
3,
2,
2,
3,
1,
2,
2,
8,
8,
2,
2,
2,
4,
4,
3,
2,
7,
2,
2,
3,
2,
3,
2,
3,
3,
3,
3,
2,
2,
3,
2,
4,
4,
3,
4,
2,
3,
2,
2,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
5,
5,
8,
3,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
3,
2,
2,
2,
4,
4,
5,
5,
4,
2,
4,
4,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
4,
2,
2,
4,
3,
3,
2,
4,
6,
3,
6,
6,
4,
2,
4,
2,
4,
4,
4,
2,
2,
2,
3,
3,
4,
3,
3,
2,
5,
5,
5,
3,
4,
4,
4,
4,
3,
2,
3,
2,
3,
3,
3,
4,
5,
3,
6,
2,
3,
3,
3,
3,
4,
2,
3,
3,
2,
3,
4,
4,
2,
3,
2,
4,
4,
2,
4,
4,
4,
4,
2,
2,
4,
2,
3,
2,
4,
4,
3,
3,
5,
3,
3,
2,
4,
2,
2,
3,
2,
3,
5,
4,
4,
4,
5,
6,
6,
6,
2,
1,
4,
2,
3,
3,
4,
6,
3,
3,
3,
3,
3,
3,
4,
4,
2,
5,
3,
4,
4,
4,
2,
4,
3,
3,
2,
4,
2,
3,
5,
2,
3,
3,
3,
3,
3,
2,
3,
2,
3,
2,
3,
3,
3,
3,
5,
5,
4,
4,
4,
4,
2,
4,
2,
3,
2,
2,
8,
3,
3,
8,
3,
3,
3,
3,
3,
7,
2,
3,
2,
3,
5,
2,
5,
3,
3,
2,
4,
3,
4,
4,
4,
4,
4,
3,
2,
2,
2,
4,
4,
4,
2,
2,
4,
3,
4,
2,
3,
2,
4,
2,
4,
2,
2,
4,
4,
3,
2,
5,
3,
3,
2,
3,
2,
5,
4,
4,
4,
2,
3,
4,
2,
3,
3,
2,
7,
4,
3,
4,
4,
3,
4,
3,
4,
3,
3,
7,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
2,
4,
4,
4,
5,
3,
2,
2,
4,
4,
3,
2,
3,
2,
2,
1,
3,
2,
1,
3,
4,
4,
3,
4,
4,
3,
4,
3,
3,
3,
4,
4,
4,
5,
4,
2,
4,
2,
4,
7,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
3,
4,
5,
5,
3,
2,
2,
5,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
7,
4,
3,
3,
3,
3,
4,
4,
2,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
2,
3,
3,
3,
2,
2,
4,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
5,
3,
3,
2,
7,
2,
4,
2,
2,
4,
4,
3,
3,
4,
3,
3,
7,
4,
4,
8,
3,
3,
3,
3,
3,
3,
3,
5,
2,
3,
2,
2,
4,
4,
4,
4,
3,
2,
4,
4,
1,
3,
3,
2,
2,
3,
4,
4,
4,
4,
7,
2,
3,
4,
3,
2,
4,
5,
2,
3,
3,
3,
4,
2,
4,
3,
4,
4,
3,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
3,
4,
2,
4,
4,
2,
3,
3,
3,
4,
4,
3,
5,
3,
3,
3,
6,
3,
3,
2,
2,
5,
3,
4,
3,
3,
2,
2,
5,
4,
4,
4,
4,
2,
2,
4,
4,
5,
3,
4,
2,
2,
2,
2,
3,
2,
4,
3,
4,
2,
6,
4,
6,
2,
4,
4,
2,
3,
3,
3,
4,
2,
4,
4,
4,
1,
2,
4,
3,
4,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
7,
5,
2,
3,
4,
4,
2,
4,
3,
2,
4,
4,
4,
5,
5,
3,
3,
3,
2,
3,
1,
3,
4,
5,
3,
2,
1,
2,
2,
2,
3,
2,
5,
3,
2,
3,
2,
2,
3,
3,
2,
3,
4,
4,
4,
2,
4,
4,
4,
7,
2,
4,
4,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
4,
4,
2,
3,
3,
3,
4,
2,
3,
5,
5,
3,
3,
3,
3,
8,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
4,
2,
2,
4,
2,
2,
3,
5,
4,
4,
6,
5,
2,
3,
2,
2,
2,
5,
2,
2,
3,
2,
2,
4,
3,
3,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
1,
3,
2,
3,
2,
2,
2,
2,
5,
5,
6,
2,
3,
3,
4,
4,
4,
2,
3,
3,
3,
6,
3,
5,
3,
3,
4,
5,
4,
2,
3,
3,
2,
4,
4,
1,
2,
2,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
4,
2,
2,
2,
4,
4,
2,
4,
5,
1,
3,
2,
5,
6,
3,
4,
4,
4,
4,
3,
3,
5,
3,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
1,
4,
2,
3,
4,
5,
4,
4,
4,
3,
3,
3,
3,
2,
2,
4,
3,
3,
3,
4,
4,
4,
5,
5,
4,
5,
4,
3,
3,
3,
3,
3,
2,
2,
3,
4,
2,
2,
2,
6,
5,
5,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
7,
3,
3,
1,
2,
1,
3,
3,
2,
5,
2,
1,
5,
4,
3,
3,
2,
3,
5,
6,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
1,
4,
4,
3,
4,
4,
4,
2,
4,
4,
4,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
5,
4,
5,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
6,
3,
3,
4,
4,
3,
7,
4,
2,
4,
4,
4,
4,
4,
2,
4,
5,
3,
4,
3,
10,
2,
3,
2,
4,
4,
4,
4,
3,
3,
2,
2,
3,
2,
5,
4,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
4,
4,
2,
3,
4,
2,
4,
4,
4,
2,
4,
4,
5,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
6,
3,
4,
2,
4,
3,
2,
6,
2,
4,
4,
3,
4,
5,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
1,
2,
3,
2,
2,
4,
5,
4,
3,
2,
2,
2,
3,
2,
2,
2,
3,
2,
5,
3,
4,
3,
2,
2,
4,
2,
4,
4,
4,
4,
7,
3,
12,
2,
4,
4,
4,
2,
4,
4,
4,
7,
7,
4,
3,
3,
6,
3,
3,
3,
3,
6,
4,
4,
4,
4,
4,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
3,
3,
4,
2,
2,
4,
4,
2,
1,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
4,
3,
4,
2,
3,
2,
2,
3,
2,
4,
4,
2,
3,
1,
3,
4,
4,
2,
4,
2,
2,
2,
3,
4,
3,
2,
3,
3,
4,
4,
3,
3,
4,
4,
4,
3,
3,
3,
1,
3,
2,
2,
4,
4,
3,
3,
3,
3,
3,
4,
3,
4,
3,
3,
2,
3,
4,
3,
3,
4,
2,
4,
4,
2,
6,
3,
1,
4,
2,
3,
3,
3,
2,
3,
3,
4,
2,
3,
3,
1,
2,
2,
3,
5,
4,
3,
2,
3,
5,
3,
3,
5,
2,
2,
2,
2,
2,
3,
2,
9,
5,
6,
4,
4,
3,
4,
5,
4,
3,
2,
4,
2,
4,
4,
4,
4,
4,
4,
5,
7,
4,
4,
4,
3,
4,
2,
3,
3,
2,
2,
1,
4,
4,
3,
3,
2,
3,
2,
3,
3,
3,
3,
3,
2,
5,
3,
4,
4,
2,
2,
5,
3,
4,
3,
2,
2,
4,
3,
2,
4,
3,
5,
4,
4,
5,
4,
4,
4,
4,
2,
4,
4,
4,
3,
2,
4,
5,
4,
3,
6,
3,
3,
4,
4,
2,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
3,
4,
4,
3,
3,
5,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
2,
2,
3,
2,
4,
3,
4,
3,
4,
3,
4,
4,
3,
3,
2,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
5,
4,
4,
4,
4,
4,
2,
2,
3,
4,
2,
2,
4,
3,
2,
2,
3,
3,
2,
2,
4,
4,
3,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
3,
3,
2,
1,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
5,
2,
2,
4,
2,
6,
4,
3,
3,
3,
4,
2,
4,
2,
2,
4,
2,
2,
3,
3,
3,
3,
4,
3,
2,
3,
3,
5,
3,
5,
5,
4,
2,
2,
4,
2,
2,
2,
3,
4,
4,
2,
2,
4,
5,
3,
2,
2,
3,
3,
3,
3,
2,
3,
4,
4,
2,
2,
2,
3,
4,
4,
4,
3,
4,
2,
4,
3,
2,
4,
3,
3,
4,
4,
3,
3,
3,
3,
3,
2,
4,
3,
3,
3,
4,
2,
3,
3,
3,
6,
2,
5,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
5,
4,
4,
5,
2,
4,
2,
4,
2,
4,
5,
4,
2,
3,
2,
2,
3,
3,
2,
3,
2,
4,
4,
4,
5,
3,
6,
3,
4,
4,
2,
4,
3,
4,
4,
4,
3,
4,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
2,
2,
3,
2,
2,
2,
3,
3,
3,
5,
4,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
4,
4,
2,
2,
2,
3,
3,
4,
4,
4,
2,
3,
3,
3,
3,
3,
4,
2,
5,
4,
2,
2,
2,
4,
4,
5,
2,
2,
2,
2,
3,
3,
2,
3,
2,
3,
3,
3,
2,
3,
4,
3,
2,
3,
2,
3,
3,
5,
4,
4,
4,
4,
3,
3,
4,
2,
2,
2,
2,
4,
5,
3,
3,
2,
3,
4,
3,
4,
6,
4,
2,
4,
2,
5,
3,
2,
5,
3,
3,
5,
4,
5,
5,
2,
4,
5,
2,
4,
3,
3,
3,
4,
2,
2,
2,
4,
3,
2,
4,
4,
4,
2,
4,
2,
4,
4,
4,
2,
2,
2,
4,
3,
2,
2,
2,
2,
3,
3,
3,
5,
4,
2,
3,
4,
4,
4,
4,
2,
4,
3,
3,
4,
4,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
5,
2,
2,
2,
3,
3,
3,
3,
4,
3,
4,
3,
3,
4,
2,
2,
2,
2,
2,
3,
3,
2,
3,
4,
3,
4,
3,
3,
2,
2,
2,
7,
2,
5,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
3,
2,
4,
2,
2,
2,
4,
3,
3,
3,
4,
2,
2,
2,
3,
4,
4,
1,
5,
5,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
5,
3,
3,
3,
3,
2,
4,
4,
2,
3,
4,
2,
4,
4,
4,
2,
6,
6,
2,
3,
3,
3,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
3,
3,
4,
5,
5,
4,
2,
2,
4,
2,
2,
4,
3,
5,
2,
3,
2,
3,
2,
4,
5,
4,
3,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
4,
5,
3,
5,
4,
2,
5,
5,
5,
5,
5,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
6,
2,
3,
3,
2,
2,
4,
5,
3,
2,
4,
3,
2,
3,
2,
3,
4,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
5,
5,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
4,
5,
5,
3,
3,
6,
3,
4,
6,
5,
4,
4,
4,
4,
4,
2,
2,
2,
4,
2,
2,
3,
4,
2,
2,
4,
6,
4,
4,
2,
3,
3,
3,
3,
2,
5,
6,
7,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
4,
2,
4,
3,
2,
2,
4,
4,
2,
4,
4,
4,
3,
2,
3,
3,
3,
4,
3,
1,
3,
3,
2,
4,
3,
3,
2,
2,
2,
3,
2,
5,
2,
2,
3,
3,
3,
4,
3,
4,
4,
3,
4,
4,
5,
5,
5,
3,
2,
4,
3,
2,
3,
4,
2,
2,
4,
6,
6,
3,
4,
3,
3,
3,
2,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
3,
3,
3,
5,
2,
4,
3,
4,
3,
3,
3,
2,
3,
3,
2,
5,
3,
3,
4,
3,
3,
3,
3,
2,
2,
3,
2,
3,
2,
4,
4,
1,
4,
4,
5,
2,
3,
2,
4,
4,
5,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
3,
2,
3,
3,
3,
3,
5,
7,
4,
4,
3,
2,
2,
2,
4,
2,
2,
4,
3,
3,
3,
3,
1,
3,
3,
4,
4,
2,
2,
4,
2,
3,
3,
5,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
4,
3,
4,
4,
3,
5,
5,
6,
4,
4,
2,
3,
4,
2,
2,
2,
2,
4,
4,
3,
2,
2,
2,
2,
2,
1,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
4,
9,
2,
3,
3,
2,
3,
2,
4,
4,
3,
4,
1,
4,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
5,
5,
3,
5,
3,
3,
2,
5,
2,
3,
2,
2,
2,
1,
3,
2,
2,
4,
2,
2,
4,
3,
3,
3,
2,
4,
2,
3,
2,
3,
1,
2,
3,
4,
3,
3,
3,
2,
2,
5,
4,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
5,
2,
5,
5,
2,
5,
5,
3,
4,
4,
4,
2,
4,
4,
2,
4,
4,
3,
5,
2,
4,
4,
4,
2,
4,
4,
3,
4,
4,
3,
1,
2,
2,
3,
3,
2,
2,
3,
4,
4,
2,
3,
2,
2,
2,
2,
4,
8,
3,
3,
3,
2,
2,
3,
3,
5,
3,
3,
3,
4,
2,
4,
2,
4,
3,
3,
3,
4,
3,
1,
3,
3,
3,
2,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
7,
3,
3,
5,
3,
3,
6,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
1,
3,
2,
6,
5,
2,
5,
3,
3,
2,
2,
3,
2,
2,
1,
2,
4,
2,
4,
4,
5,
3,
2,
3,
2,
2,
3,
2,
6,
3,
3,
2,
4,
2,
4,
3,
4,
5,
4,
2,
4,
4,
2,
2,
6,
2,
2,
2,
4,
4,
4,
4,
2,
3,
4,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
4,
5,
3,
5,
3,
3,
2,
2,
2,
2,
3,
3,
2,
2,
3,
2,
2,
2,
3,
3,
5,
4,
2,
4,
4,
5,
4,
6,
4,
6,
3,
3,
5,
5,
2,
2,
2,
3,
3,
2,
2,
4,
4,
4,
2,
2,
4,
3,
4,
1,
4,
3,
3,
2,
2,
4,
2,
4,
4,
4,
3,
3,
3,
2,
3,
3,
3,
5,
4,
5,
3,
3,
2,
2,
1,
4,
4,
2,
2,
2,
2,
2,
2,
1,
3,
4,
5,
4,
2,
2,
3,
2,
4,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
3,
4,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
1,
1,
4,
2,
3,
4,
3,
1,
3,
3,
3,
3,
4,
3,
3,
2,
3,
3,
2,
2,
3,
2,
3,
2,
2,
2,
2,
6,
2,
3,
2,
2,
3,
2,
4,
4,
1,
2,
2,
3,
3,
2,
2,
4,
4,
2,
2,
2,
3,
2,
3,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
2,
4,
4,
2,
4,
4,
2,
2,
4,
2,
2,
2,
4,
3,
4,
4,
4,
2,
2,
4,
3,
3,
5,
4,
2,
2,
3,
5,
4,
4,
3,
3,
4,
3,
4,
4,
4,
3,
3,
6,
3,
3,
1,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
3,
5,
5,
4,
3,
3,
3,
5,
5,
6,
4,
3,
2,
2,
6,
3,
3,
5,
4,
4,
2,
6,
6,
5,
3,
2,
3,
3,
2,
3,
2,
2,
4,
4,
4,
3,
3,
6,
5,
4,
3,
5,
4,
3,
4,
4,
4,
2,
2,
2,
2,
2,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
7,
4,
3,
3,
4,
3,
2,
3,
5,
2,
2,
2,
1,
2,
3,
2,
2,
4,
2,
4,
4,
3,
2,
4,
2,
2,
2,
2,
3,
4,
2,
4,
2,
5,
3,
3,
3,
3,
3,
4,
2,
2,
5,
1,
1,
2,
2,
2,
2,
2,
4,
5,
2,
2,
3,
4,
2,
5,
2,
4,
4,
4,
4,
4,
4,
3,
2,
2,
3,
2,
3,
2,
2,
4,
2,
2,
2,
2,
5,
3,
2,
5,
4,
4,
3,
2,
4,
4,
4,
4,
3,
1,
3,
5,
3,
5,
4,
3,
3,
3,
3,
4,
4,
2,
4,
4,
3,
4,
4,
8,
4,
4,
3,
2,
2,
3,
2,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
4,
3,
3,
4,
4,
3,
2,
4,
3,
3,
3,
3,
1,
2,
3,
4,
3,
4,
3,
5,
2,
3,
4,
4,
5,
7,
5,
3,
4,
3,
4,
3,
4,
3,
4,
4,
4,
4,
3,
4,
4,
2,
2,
3,
4,
3,
4,
5,
4,
4,
3,
2,
4,
3,
2,
2,
4,
3,
2,
2,
2,
2,
2,
4,
4,
4,
6,
4,
1,
3,
1,
4,
2,
1,
4,
2,
4,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
1,
3,
3,
4,
4,
4,
4,
4,
2,
2,
4,
3,
2,
2,
2,
2,
3,
4,
4,
2,
3,
2,
1,
5,
2,
3,
1,
2,
8,
3,
4,
2,
2,
4,
3,
2,
4,
2,
2,
2,
3,
3,
1,
2,
3,
2,
2,
4,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
3,
2,
5,
2,
3,
3,
3,
4,
3,
3,
3,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
5,
4,
4,
4,
4,
4,
4,
4,
2,
5,
4,
7,
4,
5,
6,
7,
6,
3,
2,
4,
2,
4,
4,
4,
2,
3,
2,
4,
2,
3,
3,
2,
2,
3,
1,
4,
4,
4,
4,
4,
4,
4,
4,
1,
2,
2,
4,
2,
2,
2,
2,
4,
3,
2,
2,
4,
2,
4,
2,
2,
2,
4,
4,
4,
2,
4,
5,
5,
4,
4,
6,
5,
5,
4,
4,
6,
4,
5,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
3,
2,
2,
2,
3,
4,
2,
4,
5,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
6,
5,
3,
2,
2,
4,
4,
4,
4,
5,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
6,
4,
4,
4,
3,
2,
4,
4,
2,
4,
2,
3,
4,
3,
3,
4,
3,
4,
4,
4,
2,
2,
4,
3,
5,
4,
4,
4,
4,
4,
3,
3,
3,
2,
4,
3,
1,
3,
3,
3,
5,
4,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
5,
2,
2,
4,
3,
2,
2,
2,
4,
2,
2,
5,
5,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
2,
4,
3,
3,
2,
4,
4,
3,
2,
7,
4,
3,
2,
3,
2,
4,
3,
5,
3,
3,
3,
3,
2,
4,
3,
4,
7,
4,
5,
4,
2,
6,
2,
5,
4,
7,
3,
2,
2,
3,
4,
3,
3,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
2,
4,
14,
2,
2,
2,
3,
2,
2,
2,
3,
4,
3,
3,
3,
3,
4,
2,
3,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
5,
3,
2,
4,
3,
1,
2,
3,
2,
2,
2,
4,
3,
2,
5,
3,
2,
2,
2,
3,
3,
3,
3,
3,
5,
5,
5,
3,
4,
4,
4,
5,
4,
4,
3,
6,
2,
2,
3,
2,
4,
2,
3,
2,
3,
3,
3,
3,
3,
6,
2,
2,
4,
2,
4,
4,
4,
2,
1,
2,
4,
4,
2,
3,
7,
3,
3,
3,
1,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
6,
4,
6,
2,
4,
2,
3,
3,
3,
4,
5,
2,
4,
2,
5,
7,
2,
3,
3,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
4,
3,
2,
4,
4,
2,
2,
2,
3,
2,
4,
4,
3,
7,
3,
3,
2,
4,
2,
2,
2,
6,
3,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
1,
2,
2,
3,
2,
2,
4,
2,
2,
5,
3,
2,
1,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
2,
3,
3,
2,
5,
5,
4,
4,
4,
2,
2,
2,
5,
3,
2,
2,
9,
3,
3,
3,
3,
3,
1,
3,
3,
3,
3,
3,
2,
3,
2,
5,
3,
4,
4,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
2,
3,
4,
4,
2,
5,
3,
2,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
1,
3,
4,
4,
4,
4,
3,
5,
4,
2,
4,
3,
4,
2,
4,
3,
2,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
2,
2,
2,
3,
5,
2,
3,
3,
2,
3,
5,
5,
4,
4,
3,
2,
2,
3,
4,
3,
3,
2,
2,
2,
4,
4,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
5,
5,
5,
6,
6,
4,
4,
4,
5,
4,
4,
2,
6,
4,
6,
6,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
1,
1,
4,
2,
2,
3,
2,
3,
3,
4,
4,
2,
2,
4,
4,
2,
3,
4,
3,
2,
3,
2,
3,
3,
3,
3,
4,
4,
2,
4,
2,
3,
3,
4,
4,
4,
4,
2,
4,
3,
2,
2,
2,
2,
2,
2,
3,
1,
3,
4,
3,
4,
3,
2,
4,
4,
4,
2,
2,
4,
4,
3,
2,
2,
3,
2,
2,
3,
2,
2,
3,
1,
4,
4,
4,
2,
1,
2,
2,
2,
3,
2,
3,
4,
4,
2,
4,
3,
3,
2,
3,
3,
4,
4,
5,
3,
3,
3,
3,
3,
4,
3,
9,
2,
2,
3,
4,
5,
2,
4,
4,
3,
4,
2,
2,
2,
3,
3,
2,
4,
2,
2,
5,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
4,
2,
4,
2,
4,
5,
3,
3,
4,
4,
4,
3,
3,
6,
4,
4,
4,
2,
4,
3,
3,
7,
3,
4,
3,
2,
3,
4,
2,
3,
3,
3,
2,
2,
2,
2,
2,
5,
2,
2,
2,
4,
2,
5,
2,
3,
4,
3,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
6,
2,
3,
2,
3,
2,
5,
3,
4,
4,
2,
2,
4,
6,
4,
4,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
2,
4,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
2,
2,
3,
4,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
3,
4,
2,
3,
4,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
6,
4,
2,
3,
4,
4,
4,
4,
4,
3,
4,
6,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
2,
2,
2,
2,
2,
3,
3,
5,
3,
5,
3,
3,
4,
3,
4,
3,
5,
3,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
4,
2,
4,
5,
2,
4,
4,
3,
4,
2,
4,
4,
3,
2,
4,
3,
2,
3,
4,
3,
2,
2,
2,
2,
2,
4,
5,
3,
5,
5,
6,
2,
3,
2,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
2,
5,
2,
4,
2,
5,
5,
5,
2,
3,
6,
3,
2,
2,
2,
2,
3,
1,
7,
2,
3,
3,
3,
3,
2,
2,
2,
3,
2,
4,
3,
5,
4,
4,
4,
2,
2,
2,
3,
4,
3,
5,
3,
3,
3,
2,
5,
3,
4,
2,
3,
5,
4,
4,
2,
4,
4,
4,
3,
3,
4,
2,
3,
2,
2,
3,
2,
4,
4,
4,
4,
3,
1,
2,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
2,
7,
3,
4,
2,
4,
3,
3,
4,
3,
2,
3,
3,
2,
2,
3,
2,
4,
5,
2,
4,
4,
4,
4,
4,
4,
3,
5,
4,
4,
2,
3,
4,
4,
3,
3,
2,
2,
2,
1,
1,
3,
4,
4,
4,
4,
4,
4,
3,
5,
3,
2,
4,
4,
4,
4,
1,
4,
4,
3,
4,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
5,
7,
2,
2,
5,
3,
3,
2,
3,
5,
4,
4,
4,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
3,
3,
3,
4,
2,
6,
5,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
2,
2,
2,
2,
2,
4,
3,
4,
4,
5,
3,
5,
6,
2,
3,
5,
5,
2,
3,
3,
3,
3,
2,
4,
4,
4,
5,
3,
3,
3,
4,
4,
2,
4,
3,
3,
4,
5,
3,
5,
2,
3,
7,
3,
4,
4,
7,
4,
5,
4,
3,
5,
3,
5,
2,
6,
3,
2,
3,
2,
3,
4,
4,
1,
1,
4,
4,
2,
2,
3,
2,
2,
4,
2,
3,
2,
4,
4,
2,
4,
4,
2,
1,
2,
4,
4,
4,
4,
4,
4,
3,
6,
3,
5,
3,
2,
4,
2,
3,
4,
4,
2,
2,
4,
3,
5,
4,
3,
4,
4,
4,
4,
4,
1,
3,
2,
3,
2,
2,
2,
2,
3,
2,
4,
2,
2,
3,
2,
4,
2,
2,
5,
2,
3,
3,
3,
3,
3,
2,
4,
4,
2,
2,
4,
3,
3,
4,
4,
2,
2,
2,
4,
3,
2,
3,
5,
3,
4,
4,
2,
2,
4,
4,
3,
4,
4,
4,
3,
4,
4,
2,
4,
4,
4,
4,
2,
3,
3,
3,
3,
2,
3,
1,
4,
4,
3,
4,
3,
5,
5,
5,
2,
3,
2,
2,
1,
3,
4,
4,
4,
4,
4,
3,
5,
2,
4,
3,
2,
1,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
1,
1,
1,
2,
4,
2,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
4,
6,
3,
2,
4,
3,
2,
4,
2,
2,
2,
4,
3,
2,
3,
3,
3,
2,
2,
3,
4,
4,
4,
2,
4,
2,
4,
4,
3,
2,
2,
3,
2,
2,
2,
4,
3,
4,
4,
4,
2,
2,
7,
4,
4,
3,
4,
4,
3,
4,
4,
3,
2,
3,
4,
2,
4,
2,
4,
4,
3,
5,
4,
4,
3,
4,
2,
2,
2,
3,
4,
6,
4,
4,
4,
5,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
2,
2,
2,
5,
2,
3,
2,
2,
2,
4,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
4,
2,
4,
4,
2,
4,
2,
5,
2,
4,
2,
4,
2,
4,
2,
4,
4,
4,
2,
5,
4,
4,
4,
3,
4,
3,
7,
4,
6,
2,
2,
5,
3,
2,
3,
3,
4,
2,
2,
4,
3,
4,
3,
5,
2,
2,
2,
3,
6,
5,
3,
2,
4,
2,
4,
4,
4,
4,
2,
2,
2,
3,
4,
2,
2,
3,
3,
2,
10,
5,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
4,
2,
4,
2,
5,
2,
2,
2,
3,
2,
4,
4,
4,
3,
3,
2,
2,
4,
4,
3,
3,
4,
2,
2,
4,
2,
4,
4,
2,
2,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
2,
4,
2,
2,
2,
2,
3,
2,
3,
3,
3,
5,
3,
4,
2,
2,
4,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
4,
2,
2,
2,
3,
4,
2,
2,
7,
5,
3,
2,
3,
2,
1,
3,
2,
2,
2,
2,
3,
2,
2,
3,
3,
2,
2,
2,
3,
2,
2,
4,
3,
4,
3,
2,
3,
3,
3,
3,
2,
3,
4,
4,
4,
2,
3,
4,
3,
5,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
5,
4,
4,
4,
4,
2,
2,
2,
3,
3,
4,
2,
2,
2,
4,
1,
2,
1,
1,
2,
3,
2,
2,
3,
2,
3,
4,
4,
4,
4,
3,
4,
4,
2,
4,
3,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
3,
4,
3,
3,
4,
2,
2,
4,
4,
4,
3,
3,
5,
5,
2,
4,
3,
4,
7,
2,
2,
3,
4,
4,
6,
3,
5,
4,
3,
2,
3,
3,
3,
3,
4,
2,
3,
4,
4,
2,
2,
4,
2,
3,
4,
2,
4,
4,
2,
2,
4,
2,
2,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
1,
3,
1,
3,
1,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
5,
4,
4,
3,
5,
4,
2,
2,
4,
3,
3,
3,
2,
4,
3,
5,
4,
4,
4,
4,
2,
2,
2,
4,
5,
6,
6,
3,
3,
3,
3,
3,
3,
2,
3,
1,
2,
3,
2,
2,
6,
6,
3,
4,
4,
4,
4,
4,
5,
1,
3,
2,
3,
5,
6,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
4,
5,
5,
2,
3,
4,
4,
4,
3,
2,
2,
2,
3,
2,
3,
3,
2,
3,
4,
2,
2,
5,
2,
3,
5,
2,
5,
4,
3,
4,
3,
4,
2,
6,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
3,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
6,
5,
4,
2,
1,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
7,
2,
3,
2,
3,
4,
4,
2,
2,
4,
4,
7,
3,
4,
4,
2,
4,
4,
4,
4,
4,
2,
3,
4,
4,
2,
4,
3,
2,
4,
3,
2,
3,
3,
2,
6,
7,
2,
4,
4,
4,
2,
2,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
4,
4,
4,
4,
4,
2,
5,
2,
2,
3,
2,
2,
3,
2,
3,
2,
2,
4,
4,
3,
2,
2,
2,
5,
4,
2,
2,
4,
2,
2,
7,
4,
6,
4,
4,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
4,
4,
4,
3,
3,
4,
4,
2,
2,
4,
4,
3,
5,
3,
3,
3,
5,
4,
7,
4,
4,
4,
4,
4,
4,
2,
2,
4,
3,
3,
3,
2,
2,
4,
4,
4,
4,
5,
5,
9,
2,
3,
5,
2,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
2,
5,
2,
4,
2,
2,
4,
2,
4,
4,
4,
4,
5,
6,
6,
3,
4,
6,
6,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
2,
6,
4,
2,
2,
2,
3,
3,
2,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
5,
2,
3,
3,
3,
2,
7,
2,
3,
2,
2,
3,
5,
2,
2,
2,
3,
2,
3,
4,
2,
3,
3,
2,
3,
2,
3,
5,
4,
3,
3,
3,
4,
3,
2,
4,
5,
3,
2,
2,
4,
4,
4,
2,
2,
3,
2,
2,
3,
4,
4,
4,
2,
3,
4,
2,
4,
2,
2,
2,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
5,
4,
4,
5,
4,
3,
9,
3,
4,
4,
4,
5,
4,
4,
5,
2,
2,
2,
2,
2,
2,
2,
3,
5,
4,
2,
2,
2,
4,
4,
4,
3,
1,
3,
2,
3,
2,
3,
3,
2,
2,
3,
2,
3,
3,
4,
3,
2,
4,
3,
5,
4,
3,
2,
6,
4,
5,
2,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
4,
3,
2,
2,
3,
2,
4,
7,
4,
4,
4,
4,
4,
3,
2,
3,
4,
3,
2,
2,
5,
4,
4,
2,
3,
3,
2,
4,
3,
3,
4,
4,
4,
2,
4,
3,
5,
3,
4,
2,
2,
4,
4,
4,
4,
3,
4,
3,
2,
3,
4,
4,
3,
4,
2,
4,
4,
3,
1,
1,
7,
2,
4,
3,
2,
3,
2,
4,
2,
4,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
3,
3,
4,
3,
4,
4,
4,
2,
2,
4,
4,
5,
2,
4,
4,
2,
2,
4,
5,
1,
4,
2,
2,
2,
2,
2,
2,
2,
5,
5,
2,
2,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
6,
2,
4,
4,
2,
6,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
5,
4,
4,
3,
4,
4,
2,
2,
2,
3,
4,
5,
5,
3,
3,
3,
3,
3,
1,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
2,
2,
2,
3,
4,
2,
4,
5,
4,
6,
4,
3,
2,
3,
3,
3,
2,
4,
2,
2,
4,
2,
2,
2,
4,
2,
4,
4,
4,
2,
4,
5,
2,
2,
2,
2,
4,
2,
5,
5,
3,
3,
4,
2,
1,
1,
4,
4,
3,
4,
4,
3,
3,
4,
3,
2,
4,
2,
4,
4,
3,
2,
2,
5,
4,
3,
5,
3,
3,
3,
3,
4,
2,
2,
4,
4,
3,
3,
2,
2,
1,
2,
1,
1,
2,
3,
2,
3,
2,
1,
6,
4,
2,
2,
3,
3,
2,
4,
4,
3,
4,
4,
4,
6,
3,
4,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
8,
6,
2,
4,
3,
2,
3,
4,
5,
4,
3,
2,
2,
2,
6,
4,
4,
2,
4,
3,
2,
4,
3,
4,
3,
4,
4,
3,
3,
3,
4,
3,
3,
4,
4,
4,
5,
4,
4,
4,
4,
4,
2,
4,
4,
1,
2,
3,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
4,
4,
4,
2,
2,
4,
2,
3,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
3,
4,
3,
4,
2,
4,
4,
2,
4,
4,
2,
2,
4,
2,
4,
2,
2,
4,
5,
5,
5,
4,
3,
3,
4,
5,
2,
2,
2,
4,
3,
3,
1,
2,
3,
2,
5,
3,
4,
3,
3,
3,
2,
4,
4,
4,
3,
3,
3,
3,
4,
3,
3,
4,
2,
3,
3,
3,
3,
4,
4,
3,
2,
3,
3,
3,
2,
3,
6,
3,
1,
2,
2,
3,
1,
2,
3,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
5,
4,
3,
2,
2,
3,
2,
4,
2,
2,
5,
3,
2,
6,
3,
3,
2,
6,
4,
2,
4,
6,
4,
2,
4,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
3,
4,
2,
2,
3,
2,
3,
2,
2,
4,
4,
3,
2,
4,
4,
4,
4,
2,
5,
5,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
4,
5,
2,
2,
4,
3,
7,
3,
2,
2,
2,
3,
3,
9,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
4,
3,
2,
3,
3,
4,
2,
2,
4,
4,
3,
4,
4,
4,
2,
4,
5,
5,
3,
5,
3,
7,
4,
8,
2,
2,
2,
3,
9,
4,
4,
2,
4,
2,
4,
2,
3,
3,
3,
3,
4,
2,
3,
4,
4,
4,
4,
2,
2,
2,
4,
5,
4,
4,
2,
3,
3,
3,
3,
4,
4,
2,
2,
2,
3,
2,
2,
2,
3,
3,
2,
2,
2,
4,
2,
3,
3,
3,
4,
5,
4,
4,
4,
5,
3,
2,
4,
5,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
3,
5,
2,
4,
4,
4,
4,
3,
1,
4,
2,
4,
4,
4,
4,
6,
6,
4,
2,
3,
2,
2,
3,
3,
3,
3,
2,
2,
3,
3,
2,
4,
3,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
5,
2,
3,
2,
3,
3,
3,
2,
3,
4,
4,
2,
2,
3,
5,
2,
3,
4,
3,
2,
2,
4,
4,
4,
6,
4,
4,
4,
1,
2,
3,
4,
2,
5,
4,
3,
4,
4,
4,
3,
3,
2,
3,
3,
4,
4,
4,
4,
4,
3,
3,
4,
3,
3,
4,
3,
1,
1,
3,
2,
5,
2,
2,
3,
2,
3,
2,
3,
2,
2,
4,
3,
3,
2,
3,
6,
2,
5,
4,
5,
4,
3,
3,
5,
3,
3,
3,
3,
4,
2,
5,
4,
4,
4,
4,
2,
2,
4,
4,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
1,
4,
4,
4,
2,
3,
3,
3,
5,
3,
3,
2,
3,
2,
3,
4,
3,
2,
3,
2,
1,
3,
2,
2,
3,
3,
2,
2,
3,
2,
3,
3,
2,
3,
3,
5,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
1,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
5,
4,
6,
2,
4,
4,
5,
5,
2,
3,
6,
3,
4,
3,
2,
4,
4,
4,
4,
4,
5,
4,
4,
4,
2,
3,
2,
6,
3,
3,
3,
5,
2,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
5,
4,
2,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
1,
3,
2,
5,
2,
2,
1,
3,
2,
4,
3,
3,
3,
3,
3,
4,
4,
2,
6,
2,
2,
2,
2,
2,
4,
3,
3,
1,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
5,
3,
4,
4,
1,
3,
6,
3,
3,
2,
3,
2,
2,
3,
3,
3,
2,
2,
1,
1,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
4,
3,
4,
4,
2,
5,
4,
1,
4,
5,
8,
5,
1,
4,
3,
4,
3,
3,
3,
4,
4,
4,
3,
4,
5,
4,
2,
2,
4,
2,
2,
2,
3,
2,
4,
4,
3,
2,
4,
3,
6,
3,
3,
3,
2,
2,
3,
3,
2,
3,
2,
2,
4,
2,
2,
9,
2,
5,
4,
3,
3,
3,
2,
2,
4,
3,
4,
4,
4,
4,
5,
3,
2,
3,
2,
2,
4,
3,
2,
3,
3,
3,
3,
2,
4,
4,
2,
2,
3,
3,
3,
3,
2,
2,
3,
4,
3,
5,
2,
1,
2,
2,
2,
4,
4,
2,
4,
6,
4,
3,
3,
3,
4,
9,
9,
2,
4,
3,
2,
4,
2,
4,
4,
3,
3,
2,
2,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
4,
2,
1,
2,
2,
2,
2,
2,
2,
2,
6,
4,
3,
3,
4,
3,
3,
3,
3,
2,
4,
4,
3,
3,
3,
2,
3,
4,
2,
4,
5,
6,
5,
3,
2,
4,
4,
5,
2,
3,
6,
6,
4,
5,
3,
4,
3,
2,
3,
4,
5,
3,
4,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
2,
4,
2,
3,
2,
6,
3,
4,
2,
4,
4,
4,
2,
2,
4,
4,
1,
2,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
7,
3,
3,
3,
4,
4,
4,
2,
2,
2,
1,
6,
3,
4,
2,
2,
3,
4,
4,
6,
5,
8,
4,
4,
4,
3,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
5,
4,
4,
4,
4,
3,
4,
4,
4,
2,
2,
3,
2,
3,
8,
2,
3,
2,
3,
3,
3,
4,
4,
1,
4,
2,
2,
2,
2,
4,
4,
2,
2,
3,
2,
3,
3,
3,
2,
3,
2,
4,
5,
4,
3,
2,
3,
2,
2,
2,
3,
4,
4,
4,
3,
3,
1,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
1,
4,
2,
4,
4,
5,
2,
2,
2,
2,
2,
2,
3,
2,
2,
6,
2,
4,
3,
3,
3,
3,
2,
2,
3,
3,
4,
2,
4,
4,
4,
3,
3,
6,
5,
5,
2,
2,
4,
2,
2,
4,
4,
4,
4,
2,
4,
4,
2,
2,
2,
3,
3,
6,
3,
5,
4,
3,
4,
4,
1,
2,
2,
3,
4,
5,
3,
4,
4,
3,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
4,
6,
2,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
5,
3,
2,
2,
3,
3,
3,
4,
3,
4,
3,
5,
4,
7,
4,
6,
4,
4,
4,
4,
2,
2,
2,
3,
2,
2,
5,
5,
3,
4,
2,
2,
3,
2,
3,
3,
2,
4,
2,
4,
4,
3,
4,
3,
5,
7,
4,
4,
5,
3,
5,
3,
3,
4,
4,
5,
2,
3,
2,
3,
3,
3,
3,
3,
4,
4,
2,
4,
3,
2,
2,
3,
2,
2,
3,
3,
2,
5,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
4,
5,
4,
4,
4,
4,
4,
3,
3,
3,
4,
6,
5,
4,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
4,
2,
2,
4,
4,
5,
3,
3,
4,
3,
5,
3,
3,
2,
6,
4,
4,
3,
4,
3,
4,
4,
3,
3,
2,
2,
3,
4,
3,
3,
3,
3,
4,
3,
3,
3,
5,
4,
4,
4,
7,
5,
4,
3,
4,
2,
2,
4,
2,
4,
2,
2,
4,
2,
4,
4,
2,
4,
2,
2,
3,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
2,
3,
2,
2,
4,
4,
5,
3,
4,
2,
2,
2,
5,
4,
4,
4,
2,
2,
2,
4,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
2,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
3,
6,
4,
4,
4,
2,
3,
2,
4,
4,
3,
4,
4,
4,
2,
3,
3,
2,
2,
2,
3,
1,
2,
7,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
2,
3,
4,
4,
2,
3,
2,
4,
4,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
4,
4,
2,
2,
3,
5,
4,
4,
5,
2,
4,
5,
4,
3,
4,
4,
2,
2,
2,
2,
4,
4,
3,
2,
2,
2,
2,
2,
4,
5,
4,
3,
3,
2,
2,
2,
3,
2,
2,
2,
4,
4,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
3,
2,
2,
4,
2,
4,
5,
4,
5,
2,
5,
2,
2,
1,
2,
2,
1,
4,
2,
3,
2,
2,
5,
3,
4,
4,
2,
5,
2,
4,
2,
4,
2,
3,
4,
4,
2,
3,
2,
3,
4,
3,
4,
4,
4,
4,
3,
2,
3,
4,
4,
3,
2,
4,
3,
3,
3,
3,
2,
2,
2,
1,
5,
2,
2,
6,
6,
3,
3,
3,
3,
5,
3,
3,
2,
2,
2,
4,
3,
3,
3,
3,
4,
3,
2,
2,
3,
6,
2,
2,
2,
4,
4,
4,
2,
8,
2,
4,
4,
3,
3,
2,
3,
4,
3,
4,
3,
6,
5,
2,
6,
4,
3,
5,
3,
2,
5,
3,
2,
2,
2,
4,
2,
2,
5,
7,
8,
3,
3,
3,
3,
2,
4,
2,
5,
4,
2,
2,
4,
7,
3,
4,
4,
4,
4,
4,
3,
4,
4,
2,
1,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
1,
3,
5,
3,
2,
4,
4,
3,
5,
3,
3,
2,
4,
4,
2,
4,
3,
2,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
1,
2,
2,
2,
7,
3,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
4,
3,
3,
3,
2,
2,
2,
4,
3,
2,
3,
2,
2,
3,
3,
4,
3,
5,
4,
3,
3,
2,
5,
7,
3,
4,
2,
2,
3,
4,
4,
4,
3,
3,
4,
2,
4,
4,
4,
4,
3,
3,
4,
2,
2,
2,
3,
2,
2,
3,
2,
3,
4,
4,
4,
4,
2,
4,
6,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
2,
3,
5,
3,
3,
3,
2,
3,
5,
4,
3,
4,
2,
3,
2,
1,
2,
2,
2,
2,
4,
3,
5,
3,
4,
4,
4,
4,
4,
3,
4,
5,
3,
1,
4,
2,
2,
3,
6,
1,
3,
3,
2,
3,
4,
2,
3,
3,
3,
1,
3,
3,
2,
4,
3,
3,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
6,
3,
3,
7,
3,
2,
5,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
6,
4,
2,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
3,
3,
3,
3,
3,
5,
4,
2,
2,
4,
5,
4,
4,
2,
4,
2,
2,
2,
4,
2,
2,
3,
2,
5,
5,
4,
3,
4,
4,
3,
4,
6,
2,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
3,
2,
3,
2,
2,
2,
3,
2,
3,
4,
2,
3,
4,
4,
4,
2,
4,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
4,
2,
2,
2,
4,
2,
4,
2,
7,
3,
3,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
2,
4,
2,
2,
3,
3,
3,
3,
3,
2,
3,
2,
2,
5,
5,
3,
6,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
3,
4,
4,
3,
4,
4,
3,
3,
2,
8,
3,
5,
4,
4,
5,
3,
3,
7,
3,
4,
2,
2,
3,
4,
3,
2,
2,
5,
3,
3,
4,
4,
3,
4,
5,
2,
2,
4,
5,
3,
3,
3,
3,
5,
3,
4,
3,
4,
4,
6,
3,
3,
2,
4,
4,
5,
3,
2,
3,
4,
4,
3,
4,
2,
3,
2,
2,
6,
3,
4,
4,
2,
2,
2,
4,
2,
5,
2,
8,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
3,
4,
1,
3,
3,
3,
3,
5,
3,
3,
3,
4,
5,
4,
4,
2,
2,
5,
3,
2,
3,
4,
2,
1,
2,
2,
2,
4,
4,
4,
4,
3,
7,
3,
1,
4,
4,
5,
2,
5,
2,
3,
4,
3,
4,
3,
4,
5,
6,
3,
6,
4,
5,
4,
4,
4,
3,
3,
2,
4,
2,
2,
2,
2,
4,
4,
2,
2,
5,
6,
3,
2,
3,
5,
3,
4,
4,
5,
3,
5,
5,
5,
4,
4,
4,
4,
2,
4,
4,
2,
2,
4,
2,
2,
3,
1,
4,
5,
5,
4,
2,
2,
3,
3,
3,
4,
4,
4,
3,
3,
2,
2,
5,
4,
4,
2,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
4,
4,
3,
6,
4,
2,
4,
2,
2,
2,
3,
3,
2,
4,
4,
2,
3,
2,
2,
2,
2,
2,
4,
3,
4,
3,
2,
8,
4,
4,
4,
4,
4,
3,
3,
1,
4,
4,
4,
2,
4,
4,
4,
2,
4,
2,
2,
5,
2,
2,
2,
1,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
5,
5,
5,
5,
5,
5,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
5,
4,
4,
4,
2,
4,
2,
3,
3,
2,
2,
3,
4,
4,
4,
4,
4,
3,
3,
4,
4,
4,
7,
4,
2,
3,
7,
2,
5,
5,
3,
4,
4,
3,
5,
2,
6,
2,
2,
2,
2,
6,
3,
3,
5,
3,
4,
2,
6,
5,
7,
4,
4,
4,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
5,
3,
5,
5,
2,
3,
4,
5,
4,
2,
2,
2,
3,
2,
6,
3,
7,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
4,
4,
2,
2,
4,
4,
2,
3,
2,
2,
3,
5,
3,
3,
4,
4,
3,
2,
2,
3,
2,
3,
3,
5,
3,
2,
3,
2,
4,
2,
2,
2,
4,
5,
4,
2,
4,
2,
2,
1,
4,
2,
2,
4,
2,
2,
2,
3,
2,
2,
4,
3,
2,
2,
2,
4,
5,
2,
1,
3,
3,
4,
4,
3,
3,
3,
3,
3,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
4,
2,
6,
2,
3,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
1,
3,
2,
3,
2,
4,
3,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
5,
2,
3,
3,
4,
5,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
2,
1,
2,
2,
4,
4,
5,
3,
2,
4,
2,
4,
4,
4,
5,
2,
4,
2,
2,
3,
2,
7,
2,
3,
2,
3,
2,
2,
4,
2,
4,
4,
2,
2,
5,
3,
2,
4,
5,
5,
1,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
4,
2,
4,
3,
3,
4,
3,
2,
4,
4,
4,
3,
4,
2,
3,
3,
2,
4,
4,
4,
2,
5,
3,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
3,
3,
2,
2,
4,
4,
4,
6,
4,
5,
7,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
1,
4,
2,
3,
4,
3,
3,
4,
3,
5,
5,
4,
4,
2,
2,
7,
4,
4,
4,
2,
4,
2,
4,
6,
3,
2,
3,
3,
2,
4,
5,
2,
3,
3,
6,
4,
3,
3,
8,
3,
3,
4,
4,
3,
2,
2,
3,
2,
4,
4,
5,
3,
2,
3,
4,
3,
3,
3,
3,
3,
2,
3,
5,
3,
5,
4,
4,
3,
2,
4,
4,
4,
3,
4,
4,
4,
4,
5,
4,
5,
2,
4,
2,
5,
2,
2,
5,
2,
5,
2,
2,
3,
2,
2,
2,
3,
2,
2,
4,
3,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
7,
2,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
3,
5,
2,
3,
2,
5,
5,
2,
1,
3,
2,
2,
4,
4,
4,
4,
3,
6,
6,
5,
4,
6,
6,
5,
6,
3,
4,
3,
2,
3,
2,
2,
5,
4,
2,
2,
4,
4,
4,
4,
5,
1,
2,
3,
3,
2,
4,
2,
3,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
4,
4,
3,
4,
2,
2,
2,
2,
4,
4,
3,
2,
4,
4,
4,
4,
4,
6,
3,
4,
4,
4,
3,
3,
4,
4,
4,
5,
3,
2,
6,
3,
3,
4,
3,
3,
6,
3,
3,
3,
4,
4,
2,
4,
2,
2,
1,
4,
2,
2,
4,
5,
5,
5,
4,
4,
4,
3,
1,
4,
4,
4,
3,
4,
3,
4,
2,
2,
2,
3,
2,
2,
4,
4,
4,
2,
6,
4,
4,
3,
3,
2,
3,
2,
2,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
2,
7,
5,
2,
4,
4,
2,
2,
2,
2,
2,
5,
5,
5,
5,
6,
6,
2,
3,
3,
4,
2,
2,
3,
3,
2,
4,
2,
2,
2,
3,
2,
2,
3,
3,
2,
2,
2,
2,
3,
4,
2,
3,
3,
3,
4,
2,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
7,
2,
3,
3,
2,
2,
2,
2,
3,
3,
5,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
4,
4,
2,
4,
4,
6,
3,
4,
4,
4,
4,
4,
4,
2,
3,
3,
5,
2,
4,
2,
3,
2,
2,
4,
2,
2,
2,
3,
4,
5,
2,
3,
3,
2,
2,
2,
1,
5,
4,
2,
4,
4,
2,
6,
5,
4,
3,
3,
3,
3,
1,
4,
6,
5,
4,
4,
4,
7,
3,
4,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
3,
2,
3,
2,
4,
2,
2,
3,
3,
6,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
3,
2,
2,
4,
2,
1,
4,
2,
4,
2,
2,
2,
2,
2,
3,
4,
6,
4,
6,
4,
4,
3,
4,
4,
3,
4,
3,
3,
4,
3,
3,
4,
4,
3,
2,
2,
3,
2,
3,
3,
4,
5,
4,
3,
4,
6,
4,
2,
4,
3,
2,
4,
4,
3,
4,
4,
4,
3,
2,
3,
3,
3,
2,
2,
2,
3,
3,
3,
4,
4,
2,
3,
5,
4,
2,
4,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
4,
3,
4,
3,
3,
2,
5,
4,
7,
4,
4,
5,
4,
3,
2,
2,
3,
3,
3,
6,
7,
4,
3,
3,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
5,
4,
2,
4,
2,
2,
4,
4,
2,
2,
2,
3,
5,
2,
2,
4,
2,
3,
2,
4,
4,
5,
1,
4,
4,
3,
6,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
5,
3,
3,
3,
5,
3,
3,
7,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
2,
2,
1,
2,
3,
3,
2,
3,
2,
2,
3,
5,
6,
6,
4,
4,
4,
4,
4,
3,
4,
3,
4,
7,
4,
2,
4,
4,
4,
2,
4,
2,
2,
3,
2,
3,
4,
4,
2,
2,
4,
2,
4,
2,
3,
2,
2,
2,
5,
6,
4,
3,
3,
4,
4,
4,
2,
2,
4,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
3,
2,
3,
3,
5,
4,
4,
4,
4,
3,
2,
3,
2,
3,
2,
2,
3,
4,
2,
4,
4,
4,
2,
3,
1,
2,
1,
4,
4,
3,
2,
2,
2,
1,
3,
3,
3,
3,
3,
4,
3,
2,
2,
4,
5,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
4,
7,
3,
3,
3,
4,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
3,
4,
4,
2,
2,
4,
3,
2,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
7,
5,
4,
2,
6,
4,
4,
3,
5,
5,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
2,
4,
4,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
3,
4,
3,
3,
3,
3,
3,
1,
4,
4,
6,
3,
2,
3,
2,
2,
2,
2,
7,
2,
2,
2,
2,
2,
4,
4,
2,
1,
5,
3,
4,
2,
5,
2,
4,
7,
5,
4,
3,
3,
2,
4,
3,
3,
2,
2,
2,
2,
3,
7,
4,
3,
4,
5,
3,
4,
4,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
3,
3,
3,
3,
4,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
5,
5,
3,
4,
3,
4,
5,
4,
6,
3,
3,
3,
2,
2,
3,
3,
2,
4,
2,
2,
2,
4,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
4,
2,
4,
3,
3,
4,
2,
2,
4,
3,
7,
2,
3,
2,
3,
2,
4,
2,
5,
2,
3,
3,
2,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
5,
4,
4,
2,
4,
5,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
4,
3,
4,
2,
3,
2,
7,
2,
1,
1,
1,
3,
3,
4,
4,
3,
4,
4,
6,
4,
2,
3,
1,
2,
4,
2,
2,
2,
3,
2,
3,
4,
3,
2,
2,
4,
2,
5,
4,
2,
2,
4,
9,
2,
2,
3,
3,
3,
2,
4,
3,
4,
2,
2,
2,
3,
3,
2,
4,
3,
2,
4,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
2,
1,
4,
2,
2,
3,
5,
2,
3,
4,
3,
4,
4,
6,
4,
2,
4,
4,
2,
2,
4,
5,
5,
5,
5,
2,
2,
2,
2,
2,
2,
5,
1,
3,
1,
1,
2,
1,
2,
2,
3,
3,
4,
1,
1,
2,
3,
6,
4,
3,
5,
1,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
3,
6,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
4,
2,
4,
3,
4,
6,
2,
2,
3,
4,
2,
4,
3,
2,
4,
2,
2,
3,
3,
4,
2,
4,
3,
2,
2,
3,
3,
6,
6,
7,
8,
7,
7,
6,
7,
4,
4,
2,
2,
4,
2,
3,
2,
3,
2,
4,
2,
3,
3,
3,
3,
3,
2,
3,
4,
3,
5,
5,
5,
5,
5,
2,
5,
6,
4,
5,
3,
6,
2,
2,
3,
3,
2,
2,
3,
2,
2,
2,
3,
2,
1,
3,
1,
3,
6,
4,
2,
5,
6,
5,
2,
8,
4,
5,
4,
4,
4,
2,
3,
5,
3,
2,
2,
2,
2,
4,
2,
4,
3,
4,
2,
2,
4,
4,
3,
5,
3,
2,
4,
3,
4,
7,
7,
3,
2,
4,
4,
2,
2,
4,
3,
3,
3,
4,
3,
5,
3,
3,
3,
7,
3,
3,
3,
2,
2,
3,
2,
4,
4,
4,
2,
4,
4,
5,
5,
7,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
2,
2,
2,
5,
4,
4,
2,
3,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
3,
2,
2,
1,
2,
1,
3,
2,
2,
2,
2,
4,
3,
4,
6,
2,
4,
4,
3,
4,
2,
4,
4,
3,
4,
4,
4,
2,
2,
4,
2,
3,
3,
2,
3,
2,
3,
3,
3,
5,
4,
6,
2,
2,
4,
2,
2,
3,
3,
3,
2,
2,
4,
4,
4,
1,
4,
4,
3,
3,
2,
4,
3,
4,
2,
2,
2,
4,
4,
4,
4,
6,
5,
4,
5,
3,
2,
3,
4,
4,
2,
2,
4,
3,
4,
2,
2,
4,
5,
2,
2,
4,
5,
3,
2,
0,
5,
3,
3,
3,
2,
4,
3,
2,
4,
4,
3,
2,
3,
4,
4,
4,
5,
4,
2,
3,
3,
2,
2,
3,
2,
3,
4,
4,
3,
4,
2,
4,
2,
2,
3,
3,
2,
2,
2,
2,
5,
2,
5,
4,
4,
6,
6,
2,
4,
3,
1,
2,
3,
2,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
4,
4,
6,
2,
4,
3,
3,
3,
3,
4,
3,
2,
3,
7,
5,
3,
6,
4,
4,
2,
4,
4,
4,
4,
5,
4,
4,
8,
3,
8,
2,
2,
3,
4,
6,
5,
2,
4,
3,
3,
3,
3,
3,
4,
3,
3,
3,
4,
3,
2,
2,
3,
2,
2,
4,
4,
2,
4,
2,
2,
2,
3,
4,
2,
3,
4,
5,
2,
3,
4,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
7,
4,
4,
4,
4,
4,
2,
4,
2,
3,
3,
3,
3,
4,
4,
4,
7,
4,
5,
2,
2,
2,
4,
4,
5,
4,
4,
5,
4,
2,
4,
4,
5,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
4,
4,
5,
3,
4,
3,
2,
2,
2,
2,
2,
3,
5,
2,
2,
4,
3,
3,
3,
3,
4,
3,
2,
3,
3,
4,
5,
4,
2,
5,
3,
2,
4,
3,
2,
2,
2,
2,
4,
3,
3,
5,
4,
4,
4,
3,
2,
2,
2,
3,
3,
2,
2,
1,
2,
2,
2,
4,
1,
1,
4,
4,
4,
2,
6,
2,
2,
4,
3,
2,
6,
4,
3,
6,
3,
3,
2,
6,
3,
2,
2,
8,
6,
3,
1,
2,
2,
2,
4,
4,
6,
3,
1,
3,
4,
3,
3,
3,
4,
3,
2,
2,
7,
3,
2,
2,
4,
3,
2,
2,
2,
3,
3,
2,
3,
4,
6,
3,
4,
8,
2,
2,
6,
3,
4,
3,
4,
4,
4,
3,
4,
3,
3,
3,
4,
2,
4,
2,
2,
4,
2,
5,
3,
3,
4,
4,
4,
2,
2,
2,
4,
4,
2,
2,
3,
3,
3,
4,
4,
2,
2,
3,
2,
4,
2,
2,
2,
4,
2,
2,
3,
2,
2,
2,
1,
1,
3,
2,
4,
2,
3,
3,
5,
5,
3,
3,
3,
3,
3,
3,
4,
4,
3,
5,
4,
4,
2,
4,
4,
4,
3,
2,
3,
4,
4,
2,
2,
2,
1,
4,
4,
2,
5,
2,
3,
2,
4,
4,
4,
5,
3,
4,
5,
4,
2,
3,
2,
4,
2,
3,
2,
2,
2,
3,
4,
3,
5,
6,
4,
3,
4,
2,
4,
2,
3,
4,
3,
3,
3,
3,
2,
2,
5,
4,
4,
4,
3,
2,
4,
4,
5,
4,
2,
3,
2,
2,
4,
4,
2,
2,
3,
3,
3,
3,
2,
3,
4,
2,
2,
3,
3,
3,
2,
2,
3,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
3,
3,
3,
4,
3,
3,
2,
3,
3,
2,
3,
3,
2,
2,
2,
4,
2,
3,
3,
4,
2,
4,
4,
3,
2,
2,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
4,
3,
3,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
6,
4,
5,
5,
4,
4,
2,
2,
3,
2,
2,
6,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
6,
3,
2,
2,
2,
3,
2,
6,
4,
4,
4,
4,
4,
4,
5,
3,
3,
2,
6,
3,
4,
4,
2,
4,
4,
3,
3,
3,
3,
2,
4,
2,
2,
4,
2,
1,
4,
2,
2,
2,
2,
2,
4,
2,
3,
3,
2,
2,
3,
3,
4,
2,
4,
2,
3,
3,
2,
2,
5,
5,
5,
4,
4,
3,
8,
1,
2,
2,
3,
3,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
7,
3,
3,
2,
4,
2,
2,
2,
3,
1,
2,
2,
2,
4,
2,
2,
4,
3,
4,
4,
2,
2,
4,
4,
2,
2,
6,
4,
5,
5,
4,
2,
3,
2,
3,
4,
4,
2,
4,
2,
2,
3,
4,
2,
3,
3,
4,
2,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
3,
3,
5,
3,
3,
4,
4,
4,
3,
5,
3,
3,
2,
2,
4,
2,
3,
3,
3,
5,
2,
3,
4,
2,
2,
2,
2,
2,
5,
4,
4,
2,
4,
2,
4,
2,
2,
2,
3,
2,
2,
4,
4,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
3,
2,
4,
2,
2,
4,
4,
3,
3,
5,
3,
3,
6,
4,
3,
2,
3,
2,
3,
4,
4,
4,
2,
4,
3,
2,
3,
3,
6,
5,
6,
5,
8,
2,
2,
2,
3,
4,
2,
3,
1,
2,
2,
2,
4,
4,
4,
4,
3,
7,
2,
3,
2,
3,
3,
3,
5,
4,
3,
3,
3,
3,
3,
3,
2,
6,
5,
5,
6,
4,
3,
4,
2,
5,
3,
3,
3,
1,
5,
3,
5,
4,
4,
4,
5,
2,
4,
5,
3,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
3,
2,
2,
4,
3,
5,
4,
4,
4,
6,
3,
4,
4,
4,
4,
6,
3,
3,
2,
1,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
3,
2,
3,
3,
6,
3,
2,
4,
5,
4,
3,
6,
6,
6,
2,
2,
4,
4,
4,
3,
1,
2,
3,
3,
4,
4,
3,
3,
2,
2,
3,
3,
2,
1,
2,
3,
5,
4,
3,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
5,
2,
2,
2,
4,
4,
5,
2,
2,
3,
3,
3,
5,
4,
3,
3,
3,
5,
6,
4,
4,
2,
2,
2,
2,
2,
4,
4,
6,
6,
3,
2,
2,
3,
3,
3,
3,
2,
3,
4,
4,
2,
2,
4,
2,
2,
3,
2,
2,
2,
4,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
8,
2,
3,
3,
3,
3,
3,
2,
3,
4,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
5,
5,
3,
5,
3,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
5,
2,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
2,
4,
2,
2,
2,
4,
4,
4,
5,
3,
4,
2,
6,
2,
4,
4,
2,
2,
4,
4,
2,
2,
3,
4,
4,
4,
8,
4,
4,
5,
3,
3,
4,
5,
4,
5,
4,
4,
3,
3,
6,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
3,
3,
3,
3,
2,
8,
2,
4,
4,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
1,
4,
1,
3,
5,
2,
4,
4,
2,
4,
3,
3,
4,
3,
3,
2,
2,
2,
2,
2,
4,
2,
4,
1,
3,
3,
3,
3,
2,
4,
3,
2,
2,
2,
2,
2,
1,
4,
3,
2,
3,
2,
3,
2,
2,
4,
4,
4,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
4,
4,
6,
3,
4,
2,
2,
2,
2,
3,
4,
3,
3,
3,
4,
4,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
6,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
4,
2,
2,
3,
3,
3,
2,
4,
4,
4,
4,
6,
2,
4,
2,
5,
5,
4,
2,
2,
2,
3,
2,
2,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
4,
6,
4,
3,
3,
2,
3,
6,
2,
2,
2,
2,
2,
3,
5,
3,
4,
4,
4,
2,
3,
3,
2,
4,
2,
3,
4,
2,
3,
2,
3,
3,
2,
4,
3,
4,
4,
4,
2,
2,
3,
3,
2,
2,
6,
5,
4,
3,
4,
4,
2,
3,
4,
3,
3,
3,
4,
3,
3,
3,
4,
3,
3,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
5,
5,
5,
5,
2,
2,
2,
2,
2,
2,
2,
3,
3,
1,
6,
2,
5,
2,
2,
2,
2,
2,
2,
5,
5,
3,
5,
3,
3,
2,
2,
2,
4,
2,
2,
4,
3,
4,
4,
4,
2,
4,
3,
2,
3,
2,
3,
2,
5,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
7,
6,
6,
2,
4,
4,
5,
3,
2,
3,
3,
4,
7,
2,
2,
2,
2,
2,
2,
4,
2,
5,
3,
2,
4,
2,
2,
2,
4,
2,
2,
6,
2,
4,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
2,
6,
3,
6,
4,
4,
3,
6,
3,
2,
4,
4,
4,
3,
4,
2,
2,
2,
5,
4,
5,
4,
2,
2,
2,
2,
3,
2,
3,
4,
5,
4,
4,
4,
4,
4,
4,
1,
3,
3,
2,
4,
3,
2,
4,
2,
3,
2,
4,
5,
4,
4,
2,
3,
2,
4,
2,
4,
4,
2,
3,
3,
4,
3,
4,
4,
4,
6,
2,
2,
3,
2,
2,
3,
2,
3,
3,
4,
4,
5,
4,
3,
2,
2,
2,
2,
4,
4,
3,
5,
2,
7,
4,
4,
6,
4,
3,
2,
3,
3,
3,
2,
3,
2,
2,
4,
4,
4,
3,
2,
4,
3,
2,
4,
2,
4,
2,
2,
4,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
5,
7,
5,
5,
3,
3,
3,
2,
4,
2,
4,
3,
4,
4,
4,
2,
2,
2,
3,
5,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
6,
3,
3,
4,
4,
4,
5,
2,
4,
4,
2,
4,
3,
3,
3,
4,
2,
3,
4,
2,
3,
4,
3,
4,
4,
3,
2,
6,
3,
5,
4,
4,
2,
3,
2,
3,
3,
2,
4,
4,
4,
2,
4,
4,
3,
6,
2,
3,
2,
2,
2,
2,
2,
5,
3,
5,
4,
2,
2,
2,
2,
2,
2,
2,
2,
5,
6,
6,
2,
5,
4,
4,
2,
2,
4,
4,
4,
3,
4,
4,
2,
4,
3,
2,
3,
4,
2,
3,
2,
4,
4,
2,
6,
2,
2,
5,
2,
3,
2,
2,
1,
2,
4,
4,
4,
3,
3,
2,
7,
3,
3,
4,
4,
3,
4,
5,
4,
7,
4,
4,
4,
5,
3,
2,
2,
1,
2,
4,
4,
4,
2,
2,
4,
2,
4,
4,
4,
5,
4,
6,
3,
4,
2,
2,
3,
2,
2,
2,
4,
2,
4,
2,
2,
2,
3,
3,
2,
3,
5,
5,
2,
5,
4,
2,
2,
4,
3,
4,
6,
6,
4,
5,
7,
2,
4,
3,
4,
3,
3,
3,
4,
4,
2,
3,
2,
3,
4,
4,
2,
3,
2,
8,
7,
4,
4,
4,
4,
3,
3,
4,
4,
2,
2,
4,
2,
2,
4,
4,
2,
2,
4,
4,
2,
3,
3,
2,
2,
4,
5,
5,
4,
3,
4,
4,
2,
3,
3,
4,
7,
4,
4,
4,
2,
4,
4,
4,
3,
3,
2,
4,
3,
2,
2,
2,
2,
3,
4,
4,
4,
3,
3,
5,
4,
3,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
3,
2,
2,
5,
3,
5,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
4,
4,
3,
2,
3,
3,
3,
4,
3,
5,
3,
2,
5,
3,
6,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
2,
4,
3,
3,
2,
3,
5,
3,
4,
3,
3,
3,
2,
3,
3,
3,
3,
2,
8,
3,
4,
2,
2,
2,
3,
2,
5,
3,
4,
4,
4,
4,
3,
2,
2,
4,
3,
3,
4,
2,
4,
2,
2,
4,
4,
5,
2,
2,
4,
2,
2,
2,
2,
3,
5,
2,
3,
3,
5,
9,
4,
6,
4,
3,
4,
3,
3,
3,
3,
2,
2,
2,
3,
4,
5,
3,
2,
4,
3,
2,
2,
3,
2,
3,
2,
3,
3,
4,
4,
2,
4,
2,
3,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
1,
2,
2,
4,
3,
4,
4,
4,
2,
4,
3,
3,
3,
2,
3,
2,
3,
3,
4,
4,
5,
3,
3,
2,
2,
2,
5,
2,
2,
2,
2,
5,
1,
2,
4,
4,
3,
3,
4,
4,
2,
5,
3,
4,
3,
3,
2,
2,
2,
4,
3,
3,
4,
3,
4,
2,
4,
2,
2,
2,
4,
5,
2,
4,
2,
4,
4,
3,
2,
4,
2,
3,
2,
1,
2,
4,
4,
4,
4,
2,
2,
2,
5,
2,
3,
3,
2,
2,
3,
3,
2,
3,
4,
5,
2,
4,
4,
4,
3,
2,
2,
3,
2,
4,
2,
4,
2,
3,
4,
2,
3,
3,
3,
2,
4,
4,
2,
4,
2,
4,
4,
4,
3,
4,
3,
4,
2,
2,
2,
4,
2,
2,
5,
2,
5,
4,
3,
2,
3,
2,
3,
1,
3,
3,
2,
2,
2,
3,
5,
2,
2,
2,
4,
3,
4,
4,
5,
5,
3,
4,
3,
5,
2,
4,
3,
3,
3,
3,
4,
2,
3,
3,
4,
4,
5,
3,
2,
2,
2,
4,
4,
4,
2,
4,
4,
2,
2,
2,
4,
7,
4,
5,
4,
2,
2,
2,
4,
4,
2,
4,
2,
2,
2,
2,
4,
4,
5,
4,
4,
3,
2,
2,
3,
3,
2,
3,
4,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
3,
3,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
2,
3,
2,
3,
7,
3,
3,
2,
3,
3,
1,
3,
3,
2,
3,
3,
5,
2,
3,
3,
2,
3,
5,
4,
2,
3,
2,
3,
5,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
1,
2,
4,
4,
7,
6,
4,
3,
4,
3,
3,
3,
3,
3,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
5,
5,
4,
4,
3,
2,
3,
2,
2,
2,
2,
2,
4,
5,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
4,
4,
4,
4,
11,
4,
4,
4,
6,
4,
4,
4,
4,
2,
2,
7,
5,
2,
5,
3,
4,
3,
4,
3,
4,
3,
2,
2,
3,
3,
3,
3,
6,
2,
2,
4,
2,
2,
3,
1,
2,
4,
4,
4,
2,
2,
4,
3,
4,
2,
5,
4,
3,
3,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
4,
4,
4,
4,
8,
3,
2,
3,
3,
1,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
3,
2,
2,
4,
2,
2,
3,
3,
5,
4,
3,
2,
5,
4,
2,
3,
2,
2,
2,
4,
2,
2,
4,
2,
4,
3,
4,
4,
4,
4,
2,
2,
2,
4,
2,
3,
3,
3,
3,
2,
7,
4,
4,
5,
3,
3,
3,
3,
1,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
5,
2,
3,
3,
5,
2,
3,
2,
3,
3,
3,
4,
2,
3,
4,
4,
4,
2,
3,
3,
2,
7,
2,
2,
3,
4,
3,
4,
2,
3,
4,
1,
2,
2,
2,
2,
1,
2,
2,
2,
4,
4,
4,
2,
4,
5,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
2,
2,
6,
4,
4,
4,
3,
1,
8,
3,
2,
4,
2,
6,
2,
5,
4,
5,
2,
2,
3,
3,
3,
3,
3,
2,
4,
4,
2,
2,
4,
1,
4,
2,
4,
3,
2,
4,
4,
4,
4,
3,
3,
3,
4,
4,
2,
2,
2,
4,
4,
4,
4,
2,
2,
3,
3,
3,
4,
4,
4,
4,
7,
4,
5,
5,
4,
4,
3,
4,
2,
2,
2,
2,
4,
2,
2,
2,
4,
6,
2,
6,
2,
4,
5,
3,
4,
4,
4,
4,
2,
3,
4,
3,
4,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
6,
3,
2,
2,
4,
3,
3,
2,
3,
1,
3,
3,
3,
4,
3,
2,
2,
4,
3,
2,
2,
3,
2,
4,
2,
2,
4,
3,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
4,
4,
5,
4,
4,
4,
4,
4,
3,
4,
4,
4,
6,
4,
2,
5,
2,
2,
2,
4,
2,
2,
3,
1,
3,
1,
6,
2,
6,
5,
3,
2,
5,
4,
6,
2,
2,
2,
2,
2,
2,
3,
4,
5,
3,
3,
3,
2,
5,
4,
3,
4,
4,
2,
2,
2,
3,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
1,
1,
1,
1,
2,
4,
4,
3,
4,
4,
3,
3,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
2,
2,
3,
3,
2,
3,
3,
4,
4,
5,
4,
4,
4,
4,
4,
4,
4,
2,
3,
5,
2,
3,
5,
3,
2,
5,
5,
5,
3,
5,
3,
4,
4,
4,
4,
2,
3,
2,
4,
2,
2,
2,
4,
4,
1,
2,
1,
3,
2,
2,
4,
4,
3,
3,
4,
4,
3,
3,
3,
2,
2,
4,
3,
5,
5,
2,
2,
7,
3,
3,
3,
5,
3,
2,
3,
3,
4,
2,
2,
3,
3,
2,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
1,
4,
4,
2,
3,
2,
2,
6,
3,
3,
5,
2,
4,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
1,
2,
2,
2,
9,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
5,
4,
4,
4,
4,
3,
2,
6,
6,
3,
4,
4,
2,
2,
2,
1,
4,
2,
4,
2,
2,
4,
4,
3,
3,
3,
5,
4,
3,
4,
4,
4,
2,
2,
6,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
2,
4,
2,
4,
6,
4,
4,
4,
3,
2,
2,
2,
5,
3,
4,
2,
2,
4,
2,
4,
4,
2,
4,
4,
2,
4,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
4,
5,
4,
2,
4,
2,
4,
3,
2,
3,
4,
3,
3,
3,
3,
2,
3,
4,
3,
3,
3,
2,
2,
6,
2,
3,
3,
3,
3,
3,
5,
3,
3,
3,
5,
4,
3,
2,
4,
4,
10,
3,
6,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
5,
4,
3,
4,
3,
4,
4,
4,
5,
3,
6,
2,
3,
5,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
4,
2,
3,
3,
3,
2,
3,
2,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
1,
3,
6,
4,
3,
2,
4,
3,
2,
2,
2,
2,
3,
3,
4,
5,
5,
3,
10,
4,
4,
3,
3,
2,
3,
3,
5,
4,
4,
3,
3,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
5,
2,
2,
3,
2,
4,
4,
4,
2,
4,
3,
4,
3,
3,
4,
4,
2,
3,
3,
3,
2,
5,
3,
3,
4,
3,
2,
6,
3,
2,
4,
4,
2,
2,
2,
2,
3,
3,
3,
2,
3,
4,
4,
3,
4,
2,
2,
3,
2,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
3,
3,
3,
4,
4,
5,
4,
3,
2,
3,
4,
2,
4,
3,
2,
1,
2,
4,
2,
2,
5,
4,
2,
7,
4,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
2,
5,
2,
3,
1,
2,
4,
2,
3,
3,
3,
3,
5,
3,
2,
4,
4,
4,
2,
4,
4,
2,
4,
4,
2,
3,
5,
2,
2,
2,
3,
4,
3,
4,
2,
3,
4,
4,
4,
3,
4,
5,
5,
5,
5,
5,
6,
5,
4,
3,
4,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
2,
5,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
4,
4,
3,
2,
4,
2,
2,
2,
4,
4,
2,
4,
2,
3,
2,
6,
1,
2,
4,
5,
3,
4,
4,
3,
3,
2,
3,
1,
2,
5,
2,
2,
2,
2,
5,
3,
5,
5,
4,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
2,
3,
3,
3,
2,
2,
4,
3,
4,
2,
3,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
3,
2,
5,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
7,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
2,
3,
5,
2,
3,
2,
2,
2,
2,
3,
3,
2,
1,
4,
4,
4,
2,
2,
2,
3,
3,
2,
3,
3,
5,
4,
2,
4,
3,
4,
5,
4,
3,
3,
2,
2,
3,
3,
5,
3,
3,
2,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
6,
3,
2,
3,
4,
4,
4,
4,
2,
4,
3,
3,
2,
3,
4,
4,
3,
2,
2,
2,
1,
2,
5,
5,
5,
5,
3,
4,
5,
4,
3,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
3,
4,
4,
4,
4,
4,
3,
4,
2,
4,
6,
4,
3,
6,
4,
3,
4,
3,
2,
4,
3,
2,
5,
4,
7,
5,
3,
3,
3,
3,
4,
3,
3,
4,
3,
5,
4,
4,
3,
3,
7,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
3,
3,
4,
4,
5,
3,
4,
2,
4,
3,
2,
2,
2,
2,
2,
2,
4,
2,
4,
2,
3,
4,
4,
3,
3,
2,
2,
2,
3,
5,
3,
5,
4,
4,
1,
2,
3,
3,
1,
4,
2,
2,
2,
4,
5,
4,
3,
4,
4,
5,
5,
5,
2,
2,
2,
3,
3,
4,
2,
2,
2,
2,
2,
2,
5,
3,
3,
3,
3,
5,
3,
3,
5,
4,
4,
2,
4,
4,
4,
5,
4,
3,
4,
2,
5,
2,
4,
4,
3,
4,
2,
2,
5,
5,
2,
3,
2,
2,
2,
2,
3,
3,
4,
3,
3,
3,
5,
4,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
3,
2,
3,
4,
4,
3,
3,
2,
2,
3,
2,
2,
3,
3,
1,
2,
2,
3,
2,
3,
4,
4,
4,
2,
2,
3,
2,
3,
5,
4,
4,
2,
2,
2,
2,
2,
4,
4,
4,
6,
4,
4,
4,
4,
2,
3,
3,
4,
5,
3,
7,
4,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
3,
2,
2,
2,
2,
2,
3,
3,
5,
2,
3,
3,
3,
2,
2,
4,
4,
7,
5,
5,
5,
5,
4,
3,
4,
3,
2,
2,
2,
3,
3,
3,
7,
3,
5,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
2,
4,
4,
2,
2,
4,
5,
4,
7,
4,
2,
6,
4,
2,
2,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
4,
2,
2,
4,
2,
2,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
4,
4,
4,
3,
3,
2,
6,
5,
2,
2,
4,
6,
6,
4,
4,
4,
4,
3,
3,
2,
3,
4,
4,
2,
2,
3,
4,
6,
2,
4,
2,
2,
2,
3,
2,
1,
3,
3,
3,
3,
2,
4,
3,
4,
4,
4,
4,
2,
5,
4,
3,
2,
5,
3,
2,
2,
4,
7,
4,
6,
4,
7,
4,
4,
3,
2,
4,
3,
3,
4,
3,
2,
2,
2,
2,
6,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
5,
7,
4,
2,
9,
7,
4,
3,
3,
5,
3,
3,
3,
5,
5,
4,
4,
6,
6,
5,
2,
3,
3,
2,
2,
2,
2,
4,
3,
3,
4,
5,
3,
5,
4,
3,
6,
2,
4,
4,
4,
4,
4,
4,
2,
4,
2,
4,
1,
2,
6,
4,
1,
3,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
5,
4,
3,
3,
4,
4,
4,
3,
5,
2,
5,
3,
2,
4,
3,
4,
4,
6,
3,
2,
2,
2,
2,
2,
3,
2,
4,
3,
3,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
3,
3,
4,
4,
4,
4,
3,
4,
4,
4,
3,
4,
3,
4,
3,
2,
2,
4,
2,
2,
4,
3,
3,
5,
5,
3,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
5,
4,
4,
4,
2,
4,
4,
5,
5,
5,
3,
2,
6,
3,
2,
2,
6,
4,
3,
2,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
3,
1,
3,
3,
4,
4,
5,
2,
4,
2,
2,
4,
3,
4,
4,
2,
3,
2,
3,
2,
5,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
5,
5,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
3,
2,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
3,
4,
5,
3,
3,
2,
3,
2,
2,
4,
2,
2,
2,
3,
2,
6,
4,
2,
4,
4,
2,
3,
1,
3,
3,
3,
3,
2,
3,
2,
4,
3,
4,
4,
3,
3,
2,
6,
3,
4,
2,
3,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
2,
5,
2,
3,
3,
3,
2,
2,
2,
6,
2,
5,
2,
2,
5,
2,
4,
4,
4,
2,
4,
4,
2,
3,
2,
2,
4,
1,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
6,
2,
2,
3,
5,
2,
2,
2,
2,
2,
2,
3,
3,
5,
3,
3,
2,
1,
3,
3,
3,
2,
4,
3,
4,
3,
3,
4,
2,
3,
3,
1,
1,
5,
5,
5,
5,
5,
3,
3,
3,
3,
2,
4,
3,
3,
3,
3,
2,
3,
3,
1,
5,
3,
7,
4,
4,
7,
4,
3,
8,
3,
4,
4,
6,
3,
4,
4,
4,
4,
3,
6,
9,
6,
3,
4,
3,
10,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
3,
4,
2,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
4,
3,
2,
3,
4,
4,
3,
3,
3,
3,
3,
3,
6,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
1,
2,
2,
3,
3,
4,
3,
3,
4,
3,
3,
3,
3,
5,
2,
2,
3,
2,
3,
3,
3,
3,
2,
4,
3,
4,
3,
3,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
7,
2,
2,
2,
3,
3,
3,
3,
5,
5,
3,
3,
2,
3,
3,
5,
5,
3,
3,
5,
2,
4,
4,
3,
4,
2,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
5,
3,
4,
3,
3,
4,
4,
4,
2,
3,
2,
2,
4,
2,
3,
1,
4,
2,
3,
4,
4,
4,
2,
2,
3,
3,
2,
4,
2,
4,
4,
2,
7,
4,
4,
4,
2,
4,
4,
3,
3,
5,
4,
3,
3,
3,
6,
2,
4,
3,
3,
2,
2,
3,
4,
3,
3,
3,
3,
3,
4,
3,
4,
4,
4,
2,
2,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
3,
9,
4,
2,
2,
2,
3,
2,
3,
3,
4,
4,
4,
3,
3,
3,
2,
2,
2,
3,
6,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
1,
3,
4,
5,
5,
3,
2,
3,
3,
3,
2,
3,
4,
3,
3,
4,
4,
5,
4,
2,
2,
3,
2,
4,
2,
4,
4,
4,
3,
4,
2,
2,
2,
4,
3,
2,
3,
2,
4,
3,
2,
2,
4,
2,
2,
4,
5,
3,
5,
2,
2,
3,
3,
4,
3,
2,
3,
3,
3,
6,
9,
3,
4,
4,
4,
2,
4,
4,
3,
4,
4,
2,
4,
4,
4,
3,
5,
4,
4,
3,
2,
2,
2,
2,
3,
4,
3,
3,
4,
5,
4,
4,
4,
1,
4,
4,
4,
4,
5,
4,
4,
2,
3,
3,
2,
3,
3,
3,
3,
2,
3,
5,
3,
3,
3,
3,
4,
4,
1,
2,
4,
2,
4,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
1,
4,
5,
3,
2,
3,
3,
3,
3,
3,
4,
4,
4,
5,
4,
3,
3,
4,
5,
4,
4,
4,
3,
3,
2,
3,
3,
2,
2,
5,
2,
2,
4,
2,
4,
3,
4,
4,
2,
1,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
2,
2,
2,
4,
2,
2,
2,
3,
1,
3,
3,
4,
4,
2,
3,
4,
2,
4,
5,
3,
2,
3,
2,
5,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
5,
4,
4,
4,
4,
2,
2,
4,
3,
3,
2,
3,
6,
3,
3,
3,
4,
1,
4,
4,
4,
4,
5,
5,
5,
6,
2,
3,
2,
2,
6,
4,
2,
4,
4,
3,
2,
2,
3,
3,
3,
3,
2,
3,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
4,
2,
3,
2,
3,
5,
4,
4,
7,
2,
4,
4,
2,
4,
3,
4,
7,
4,
4,
7,
4,
4,
8,
3,
4,
4,
4,
2,
5,
4,
6,
4,
9,
5,
2,
2,
4,
2,
2,
4,
4,
2,
4,
4,
2,
2,
2,
3,
3,
2,
3,
3,
5,
6,
3,
4,
3,
4,
2,
3,
2,
2,
2,
4,
3,
4,
4,
4,
3,
4,
2,
4,
7,
4,
5,
4,
4,
2,
4,
4,
4,
5,
3,
3,
2,
3,
2,
2,
4,
3,
3,
5,
2,
2,
2,
3,
5,
2,
3,
3,
2,
6,
6,
4,
4,
5,
4,
1,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
4,
7,
4,
3,
6,
4,
6,
2,
2,
2,
2,
3,
4,
3,
4,
2,
4,
6,
2,
2,
2,
3,
4,
4,
3,
3,
4,
2,
2,
3,
4,
4,
5,
4,
4,
4,
4,
4,
5,
5,
6,
6,
3,
3,
2,
3,
1,
2,
2,
2,
4,
2,
1,
2,
4,
4,
4,
4,
4,
4,
3,
2,
3,
2,
4,
4,
4,
4,
4,
3,
3,
2,
2,
1,
2,
4,
2,
2,
2,
4,
4,
2,
6,
4,
7,
3,
2,
6,
4,
2,
7,
4,
2,
2,
3,
2,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
6,
3,
3,
4,
3,
2,
1,
3,
5,
3,
5,
5,
3,
4,
2,
2,
2,
4,
3,
3,
3,
2,
3,
2,
2,
4,
2,
4,
4,
4,
4,
1,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
4,
3,
5,
2,
3,
2,
4,
2,
3,
4,
3,
2,
2,
2,
3,
2,
2,
2,
5,
5,
5,
6,
6,
6,
4,
5,
3,
2,
3,
4,
2,
4,
4,
4,
3,
2,
2,
2,
6,
5,
5,
6,
5,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
6,
4,
4,
4,
3,
4,
5,
4,
4,
2,
2,
4,
4,
4,
4,
4,
2,
5,
3,
4,
2,
2,
3,
2,
1,
4,
2,
3,
2,
4,
4,
4,
5,
4,
6,
5,
5,
2,
4,
4,
3,
3,
3,
6,
3,
3,
3,
4,
6,
3,
5,
3,
2,
2,
2,
4,
3,
4,
3,
3,
4,
2,
2,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
3,
3,
3,
2,
4,
4,
4,
5,
4,
4,
4,
3,
4,
2,
4,
3,
2,
4,
4,
2,
2,
1,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
3,
4,
3,
4,
3,
5,
4,
4,
4,
4,
4,
2,
4,
4,
3,
5,
2,
6,
3,
2,
2,
6,
3,
1,
2,
2,
2,
2,
2,
5,
4,
2,
7,
7,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
4,
4,
5,
4,
2,
2,
2,
4,
4,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
2,
4,
4,
7,
4,
5,
2,
4,
4,
7,
6,
4,
4,
5,
4,
5,
4,
1,
3,
2,
4,
3,
4,
4,
2,
3,
2,
3,
3,
8,
6,
4,
4,
5,
5,
5,
4,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
5,
3,
3,
2,
4,
3,
2,
2,
5,
4,
3,
4,
3,
4,
3,
2,
2,
2,
4,
4,
4,
5,
3,
5,
3,
2,
3,
3,
2,
2,
2,
3,
5,
3,
6,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
3,
2,
4,
3,
4,
4,
2,
4,
4,
2,
2,
3,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
1,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
3,
2,
4,
2,
4,
4,
4,
4,
4,
5,
3,
3,
3,
2,
2,
2,
2,
4,
2,
2,
3,
3,
4,
4,
4,
4,
5,
6,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
4,
4,
5,
5,
4,
3,
3,
3,
3,
2,
4,
2,
4,
6,
4,
4,
5,
5,
5,
4,
4,
4,
3,
4,
2,
2,
4,
3,
3,
2,
3,
3,
2,
2,
2,
3,
2,
2,
3,
3,
2,
2,
3,
2,
4,
3,
3,
5,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
3,
3,
2,
5,
4,
4,
3,
5,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
2,
1,
4,
2,
4,
2,
4,
4,
3,
3,
2,
3,
3,
5,
3,
4,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
5,
4,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
5,
4,
3,
2,
3,
3,
3,
2,
1,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
4,
3,
2,
4,
2,
2,
3,
2,
5,
4,
3,
4,
4,
2,
3,
3,
2,
5,
7,
6,
5,
4,
4,
2,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
3,
2,
4,
3,
2,
4,
1,
4,
4,
6,
5,
2,
2,
2,
2,
4,
1,
1,
1,
2,
4,
4,
2,
2,
3,
2,
2,
2,
2,
4,
4,
4,
2,
5,
3,
3,
2,
3,
2,
3,
3,
2,
3,
2,
2,
2,
2,
3,
4,
2,
2,
3,
3,
4,
4,
2,
3,
3,
4,
3,
4,
2,
4,
2,
3,
4,
3,
3,
3,
3,
2,
3,
3,
1,
3,
3,
3,
3,
4,
3,
3,
3,
4,
2,
3,
3,
4,
3,
2,
5,
4,
3,
2,
3,
2,
3,
2,
2,
4,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
4,
7,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
2,
2,
3,
2,
3,
2,
1,
2,
5,
3,
4,
4,
3,
4,
5,
5,
4,
7,
4,
1,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
4,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
3,
5,
1,
2,
2,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
4,
4,
3,
3,
3,
5,
3,
2,
4,
2,
3,
3,
3,
2,
2,
2,
4,
3,
4,
3,
3,
1,
2,
1,
3,
4,
2,
3,
2,
4,
2,
6,
5,
4,
2,
2,
2,
2,
3,
2,
2,
4,
3,
4,
3,
4,
2,
2,
5,
5,
2,
2,
3,
5,
2,
3,
3,
2,
3,
2,
1,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
1,
2,
3,
2,
2,
2,
2,
4,
5,
4,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
3,
3,
3,
3,
5,
6,
7,
3,
2,
2,
4,
3,
4,
2,
2,
2,
4,
4,
3,
2,
2,
3,
3,
2,
3,
5,
2,
4,
4,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
5,
4,
3,
5,
5,
4,
5,
4,
5,
4,
4,
3,
4,
3,
5,
2,
4,
3,
3,
4,
2,
3,
4,
2,
2,
2,
2,
1,
2,
3,
4,
3,
4,
2,
4,
4,
3,
6,
4,
2,
1,
4,
4,
2,
3,
3,
5,
3,
3,
3,
3,
3,
3,
4,
4,
2,
3,
4,
3,
2,
4,
3,
4,
3,
3,
4,
1,
4,
2,
2,
2,
2,
1,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
2,
5,
2,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
3,
2,
4,
4,
4,
3,
2,
3,
3,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
4,
1,
5,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
4,
2,
3,
2,
4,
6,
6,
3,
4,
4,
4,
3,
4,
4,
3,
5,
4,
4,
4,
2,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
5,
3,
4,
2,
2,
4,
2,
2,
2,
2,
5,
6,
4,
4,
5,
5,
2,
2,
2,
1,
3,
2,
2,
5,
4,
4,
4,
2,
2,
4,
2,
3,
3,
2,
1,
2,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
1,
1,
1,
2,
2,
4,
4,
2,
2,
4,
4,
4,
3,
3,
4,
4,
4,
2,
4,
4,
2,
4,
4,
5,
4,
4,
2,
3,
6,
5,
4,
3,
2,
4,
2,
2,
4,
2,
3,
4,
3,
3,
3,
4,
2,
2,
2,
2,
2,
5,
3,
5,
4,
4,
3,
2,
7,
5,
4,
3,
2,
4,
4,
2,
2,
3,
3,
2,
2,
2,
3,
5,
5,
4,
4,
1,
4,
4,
2,
2,
3,
3,
2,
3,
3,
3,
3,
2,
3,
6,
4,
3,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
4,
4,
3,
2,
3,
4,
4,
4,
2,
4,
2,
5,
5,
4,
3,
3,
4,
5,
3,
3,
3,
3,
4,
3,
3,
4,
2,
2,
4,
3,
4,
4,
3,
2,
4,
4,
2,
2,
2,
3,
2,
3,
2,
2,
3,
4,
2,
4,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
3,
3,
2,
2,
5,
2,
2,
1,
2,
2,
2,
2,
4,
3,
2,
4,
3,
3,
2,
4,
4,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
6,
6,
3,
2,
2,
1,
2,
2,
2,
2,
1,
3,
5,
6,
6,
4,
4,
3,
2,
6,
3,
2,
2,
2,
3,
2,
3,
3,
5,
3,
2,
4,
2,
3,
3,
3,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
3,
4,
3,
3,
2,
1,
3,
4,
5,
5,
3,
2,
4,
5,
5,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
6,
2,
2,
4,
2,
2,
3,
4,
2,
4,
4,
3,
4,
2,
4,
2,
1,
4,
3,
2,
2,
5,
3,
8,
4,
4,
2,
2,
2,
2,
2,
3,
5,
6,
4,
3,
3,
3,
3,
4,
3,
2,
5,
4,
4,
3,
5,
3,
3,
4,
2,
3,
2,
4,
4,
4,
3,
5,
3,
3,
4,
2,
2,
2,
2,
2,
2,
4,
2,
5,
4,
4,
2,
2,
2,
4,
4,
2,
3,
3,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
4,
4,
2,
4,
4,
4,
3,
4,
4,
2,
2,
2,
4,
4,
2,
3,
4,
4,
4,
2,
4,
4,
4,
3,
6,
4,
4,
3,
2,
4,
1,
2,
4,
2,
2,
2,
2,
4,
4,
4,
3,
2,
4,
3,
3,
2,
4,
4,
4,
2,
4,
4,
3,
5,
3,
2,
7,
1,
2,
2,
4,
2,
2,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
4,
3,
4,
4,
4,
4,
2,
2,
3,
3,
3,
5,
2,
2,
5,
2,
5,
3,
2,
4,
4,
5,
4,
3,
4,
4,
3,
1,
3,
3,
3,
3,
3,
5,
4,
4,
4,
2,
4,
3,
3,
3,
3,
2,
3,
4,
3,
2,
2,
2,
2,
2,
3,
2,
6,
2,
2,
4,
4,
3,
3,
4,
4,
5,
7,
4,
2,
4,
2,
4,
4,
2,
3,
1,
4,
3,
4,
5,
2,
2,
2,
3,
3,
4,
4,
3,
3,
2,
2,
2,
6,
1,
3,
2,
3,
3,
3,
3,
3,
4,
4,
3,
3,
2,
4,
4,
2,
2,
2,
3,
2,
5,
4,
4,
2,
6,
3,
4,
4,
2,
2,
3,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
2,
4,
2,
3,
3,
3,
2,
2,
4,
2,
2,
3,
4,
5,
2,
5,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
5,
2,
3,
4,
4,
4,
4,
5,
5,
5,
4,
4,
3,
3,
3,
3,
4,
2,
5,
2,
2,
2,
2,
2,
2,
3,
5,
5,
5,
7,
3,
2,
2,
4,
3,
4,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
4,
4,
2,
1,
3,
2,
5,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
3,
3,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
5,
5,
4,
4,
2,
4,
4,
4,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
2,
3,
2,
3,
8,
2,
4,
2,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
2,
3,
2,
4,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
3,
4,
2,
3,
2,
6,
4,
3,
3,
3,
3,
5,
4,
2,
4,
3,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
5,
2,
5,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
3,
3,
2,
2,
4,
3,
3,
3,
3,
2,
4,
4,
5,
4,
4,
5,
2,
4,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
4,
3,
4,
2,
2,
2,
2,
2,
5,
3,
2,
4,
4,
4,
4,
3,
2,
4,
2,
1,
3,
3,
2,
3,
4,
2,
4,
3,
3,
4,
2,
5,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
4,
4,
2,
4,
4,
4,
3,
4,
4,
2,
7,
3,
2,
2,
4,
4,
4,
2,
3,
4,
3,
6,
2,
3,
3,
3,
3,
4,
5,
2,
2,
3,
3,
4,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
3,
5,
5,
5,
4,
6,
5,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
1,
3,
4,
1,
3,
3,
3,
2,
4,
4,
4,
3,
3,
2,
2,
2,
1,
2,
1,
3,
3,
3,
3,
2,
4,
3,
3,
2,
4,
3,
5,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
2,
4,
3,
3,
2,
4,
4,
3,
3,
2,
2,
3,
2,
3,
3,
4,
4,
4,
4,
3,
3,
5,
3,
5,
5,
5,
3,
3,
5,
3,
3,
4,
2,
2,
6,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
3,
4,
2,
4,
4,
2,
4,
4,
2,
4,
3,
4,
4,
4,
4,
4,
4,
2,
2,
5,
4,
4,
2,
4,
4,
2,
3,
3,
3,
3,
3,
2,
3,
5,
5,
5,
5,
2,
2,
3,
3,
2,
2,
4,
3,
2,
2,
2,
4,
4,
4,
4,
2,
4,
6,
7,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
5,
4,
4,
4,
6,
3,
2,
3,
3,
2,
2,
2,
4,
2,
4,
2,
4,
4,
2,
3,
2,
2,
2,
4,
4,
3,
2,
4,
4,
3,
2,
3,
2,
3,
2,
1,
4,
4,
3,
3,
3,
3,
4,
3,
5,
3,
2,
3,
3,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
4,
4,
3,
1,
3,
2,
3,
3,
3,
3,
3,
3,
4,
5,
5,
3,
4,
3,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
4,
4,
3,
3,
4,
3,
3,
4,
2,
2,
2,
5,
4,
2,
2,
4,
4,
4,
3,
5,
3,
2,
2,
3,
4,
4,
4,
4,
4,
5,
5,
4,
3,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
8,
4,
4,
5,
3,
2,
4,
4,
3,
2,
4,
2,
2,
2,
2,
4,
4,
4,
5,
5,
2,
2,
5,
4,
3,
4,
3,
4,
2,
2,
3,
3,
2,
4,
4,
4,
4,
4,
3,
5,
4,
4,
3,
4,
4,
4,
4,
3,
2,
2,
3,
3,
2,
2,
3,
5,
4,
5,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
5,
3,
4,
4,
3,
4,
5,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
6,
4,
2,
2,
2,
3,
3,
2,
3,
4,
3,
3,
3,
2,
5,
2,
5,
5,
3,
4,
4,
4,
4,
2,
3,
5,
2,
5,
4,
2,
4,
4,
5,
1,
2,
4,
4,
5,
2,
5,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
2,
2,
3,
5,
3,
2,
2,
3,
3,
3,
3,
3,
4,
4,
2,
6,
4,
4,
2,
2,
2,
4,
4,
4,
5,
5,
4,
4,
2,
3,
4,
6,
2,
3,
3,
5,
3,
4,
5,
3,
3,
3,
3,
3,
3,
2,
2,
3,
6,
4,
3,
3,
3,
3,
3,
4,
3,
4,
4,
2,
2,
5,
2,
5,
2,
6,
3,
5,
1,
3,
2,
4,
2,
4,
2,
4,
4,
4,
3,
4,
4,
2,
4,
4,
2,
3,
2,
2,
4,
4,
4,
2,
3,
3,
5,
6,
2,
3,
4,
5,
2,
4,
4,
2,
3,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
2,
2,
3,
3,
2,
2,
3,
2,
5,
6,
6,
7,
6,
5,
3,
3,
4,
4,
2,
2,
4,
4,
4,
4,
7,
4,
3,
3,
4,
2,
2,
6,
4,
3,
4,
3,
4,
2,
4,
4,
3,
3,
4,
1,
4,
4,
4,
3,
3,
3,
2,
4,
3,
5,
4,
2,
7,
3,
2,
2,
2,
2,
6,
3,
3,
2,
2,
2,
6,
4,
4,
2,
2,
3,
2,
2,
2,
2,
3,
3,
2,
3,
3,
4,
4,
4,
2,
3,
3,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
5,
4,
4,
2,
2,
3,
2,
2,
3,
3,
3,
2,
2,
3,
2,
2,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
2,
2,
2,
2,
2,
2,
3,
7,
2,
4,
5,
3,
3,
3,
3,
3,
3,
2,
4,
4,
1,
4,
4,
6,
2,
3,
2,
4,
2,
4,
4,
2,
4,
6,
2,
5,
4,
5,
3,
4,
3,
4,
4,
4,
4,
2,
4,
3,
4,
4,
3,
5,
5,
5,
6,
3,
6,
4,
2,
2,
7,
6,
2,
8,
2,
2,
2,
4,
4,
2,
2,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
3,
2,
3,
3,
4,
5,
4,
2,
2,
2,
4,
2,
2,
3,
2,
1,
3,
5,
4,
4,
4,
4,
4,
6,
5,
3,
3,
6,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
2,
2,
5,
2,
2,
2,
3,
3,
3,
2,
3,
4,
4,
2,
4,
4,
2,
4,
2,
4,
4,
4,
2,
2,
2,
2,
2,
3,
4,
2,
4,
5,
2,
3,
3,
4,
2,
2,
2,
2,
2,
4,
7,
4,
4,
6,
2,
4,
2,
2,
3,
3,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
5,
3,
4,
3,
7,
2,
2,
2,
7,
4,
2,
4,
2,
4,
2,
2,
2,
2,
4,
2,
2,
4,
3,
2,
3,
4,
6,
5,
5,
2,
3,
6,
3,
6,
3,
6,
5,
2,
3,
3,
2,
3,
3,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
3,
5,
5,
2,
3,
3,
2,
3,
3,
3,
2,
8,
4,
3,
5,
4,
2,
3,
2,
3,
3,
4,
4,
4,
4,
7,
4,
3,
3,
1,
3,
2,
2,
2,
3,
3,
3,
2,
2,
4,
4,
2,
4,
2,
2,
3,
2,
4,
2,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
3,
3,
4,
3,
5,
4,
2,
3,
6,
2,
4,
2,
4,
2,
2,
2,
2,
4,
3,
4,
4,
3,
2,
3,
2,
2,
3,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
5,
5,
3,
5,
2,
7,
4,
3,
2,
3,
2,
4,
4,
4,
2,
4,
2,
2,
2,
3,
2,
3,
3,
5,
3,
3,
3,
3,
4,
3,
3,
4,
3,
6,
4,
4,
2,
2,
5,
6,
2,
2,
2,
2,
2,
2,
2,
2,
5,
3,
6,
3,
3,
3,
3,
2,
3,
3,
6,
3,
3,
3,
3,
3,
7,
5,
4,
4,
4,
2,
3,
5,
3,
4,
4,
4,
2,
5,
2,
4,
3,
3,
2,
2,
2,
2,
4,
2,
4,
3,
6,
4,
4,
3,
3,
6,
4,
2,
2,
4,
6,
3,
6,
4,
3,
4,
3,
3,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
2,
2,
2,
3,
5,
4,
2,
4,
3,
5,
3,
2,
2,
1,
2,
4,
2,
7,
3,
3,
3,
2,
2,
4,
2,
2,
4,
5,
2,
2,
1,
4,
2,
1,
4,
4,
4,
3,
6,
2,
3,
8,
6,
8,
6,
6,
3,
3,
3,
2,
2,
3,
2,
4,
4,
2,
2,
5,
4,
2,
4,
4,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
5,
2,
3,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
5,
3,
2,
4,
2,
5,
4,
4,
5,
3,
5,
7,
5,
3,
3,
3,
3,
3,
3,
4,
1,
2,
3,
4,
6,
5,
2,
2,
3,
3,
3,
2,
3,
4,
2,
4,
4,
4,
4,
3,
4,
4,
3,
3,
5,
4,
3,
4,
2,
2,
3,
2,
2,
4,
4,
2,
1,
4,
4,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
3,
3,
3,
3,
2,
6,
6,
3,
7,
4,
4,
4,
3,
3,
4,
4,
2,
2,
3,
2,
4,
2,
2,
2,
2,
4,
3,
3,
4,
4,
4,
4,
4,
5,
3,
2,
4,
4,
2,
5,
3,
3,
3,
3,
3,
3,
3,
4,
4,
6,
5,
4,
2,
3,
4,
3,
4,
4,
4,
4,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
5,
5,
2,
4,
5,
4,
3,
4,
4,
4,
6,
4,
4,
6,
4,
2,
2,
2,
4,
4,
5,
3,
4,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
4,
4,
4,
3,
3,
6,
3,
3,
2,
4,
4,
3,
2,
4,
4,
4,
7,
4,
4,
3,
2,
6,
3,
4,
4,
3,
4,
2,
2,
4,
2,
4,
3,
3,
2,
3,
2,
5,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
3,
2,
2,
3,
2,
4,
3,
4,
4,
3,
4,
4,
3,
2,
2,
3,
2,
3,
4,
3,
4,
2,
3,
4,
4,
4,
4,
1,
4,
4,
2,
2,
2,
3,
4,
4,
6,
3,
6,
5,
4,
4,
3,
4,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
3,
4,
2,
4,
4,
4,
2,
2,
4,
2,
2,
4,
3,
2,
2,
4,
4,
4,
2,
4,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
4,
2,
4,
3,
2,
3,
2,
2,
3,
4,
4,
4,
4,
4,
1,
4,
4,
4,
3,
2,
3,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
5,
4,
4,
2,
4,
3,
3,
6,
4,
4,
4,
6,
4,
4,
2,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
2,
4,
4,
2,
4,
8,
4,
4,
5,
4,
3,
4,
4,
3,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
4,
4,
2,
2,
2,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
5,
3,
2,
3,
3,
5,
2,
7,
4,
4,
7,
6,
4,
4,
5,
3,
2,
2,
3,
6,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
3,
2,
2,
3,
2,
2,
4,
2,
6,
3,
3,
3,
3,
3,
1,
4,
4,
4,
6,
1,
4,
3,
4,
4,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
4,
4,
4,
3,
3,
3,
2,
4,
2,
2,
3,
3,
3,
3,
3,
2,
8,
4,
2,
4,
6,
4,
4,
4,
4,
4,
2,
4,
5,
5,
3,
2,
5,
4,
4,
2,
2,
3,
3,
5,
5,
6,
6,
5,
5,
3,
4,
2,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
6,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
2,
2,
3,
4,
3,
3,
6,
4,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
3,
3,
6,
3,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
5,
3,
4,
1,
4,
4,
4,
4,
2,
3,
3,
3,
3,
2,
3,
3,
8,
5,
4,
4,
2,
3,
4,
2,
2,
2,
2,
2,
3,
2,
2,
7,
2,
3,
8,
10,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
4,
5,
4,
4,
4,
2,
3,
3,
3,
3,
3,
6,
7,
2,
2,
4,
5,
5,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
4,
4,
3,
4,
4,
3,
2,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
4,
3,
3,
5,
2,
3,
2,
2,
2,
3,
2,
3,
4,
2,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
2,
4,
3,
3,
3,
2,
2,
3,
2,
2,
2,
4,
2,
2,
4,
4,
4,
2,
3,
1,
3,
3,
5,
2,
2,
5,
3,
3,
4,
3,
3,
3,
3,
3,
3,
4,
1,
2,
2,
2,
2,
2,
4,
3,
3,
4,
2,
4,
4,
2,
4,
5,
4,
4,
4,
4,
4,
6,
3,
2,
4,
4,
3,
4,
4,
6,
3,
4,
4,
3,
2,
4,
2,
2,
4,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
5,
3,
4,
3,
4,
3,
4,
4,
2,
2,
3,
4,
4,
4,
1,
3,
4,
2,
4,
4,
5,
5,
5,
3,
4,
3,
4,
6,
3,
3,
2,
4,
2,
4,
4,
3,
1,
2,
4,
3,
3,
3,
4,
4,
4,
2,
3,
3,
3,
3,
3,
5,
3,
5,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
4,
3,
4,
2,
2,
3,
3,
4,
3,
3,
3,
3,
4,
3,
4,
2,
4,
2,
4,
2,
4,
2,
4,
3,
2,
4,
4,
4,
4,
3,
5,
6,
8,
3,
2,
2,
2,
2,
1,
2,
4,
2,
4,
2,
4,
4,
2,
2,
3,
2,
2,
1,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
3,
2,
6,
4,
6,
3,
3,
4,
4,
4,
4,
4,
3,
4,
2,
2,
4,
5,
8,
4,
4,
4,
3,
4,
2,
4,
3,
4,
7,
4,
3,
3,
2,
4,
3,
6,
4,
2,
3,
3,
4,
4,
4,
2,
6,
4,
3,
4,
3,
3,
4,
3,
3,
2,
4,
2,
2,
2,
3,
4,
6,
6,
4,
4,
3,
2,
5,
5,
2,
3,
2,
4,
7,
4,
3,
3,
2,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
7,
2,
3,
4,
4,
4,
2,
3,
2,
2,
4,
2,
1,
5,
3,
3,
3,
4,
4,
4,
5,
2,
8,
4,
2,
4,
2,
3,
2,
3,
1,
4,
1,
1,
1,
1,
5,
2,
5,
5,
4,
4,
4,
5,
4,
4,
2,
2,
2,
4,
3,
4,
5,
2,
2,
5,
2,
2,
4,
2,
2,
2,
4,
2,
4,
2,
3,
2,
4,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
3,
2,
3,
4,
4,
4,
4,
2,
3,
2,
4,
4,
4,
3,
3,
5,
4,
4,
3,
2,
2,
2,
2,
3,
2,
2,
2,
3,
3,
2,
3,
3,
2,
4,
3,
5,
2,
3,
5,
2,
4,
4,
2,
4,
4,
2,
2,
4,
4,
3,
3,
5,
3,
2,
4,
2,
3,
4,
3,
3,
4,
4,
5,
6,
5,
5,
4,
6,
3,
4,
4,
4,
4,
4,
3,
2,
3,
7,
3,
3,
3,
3,
5,
3,
3,
3,
2,
4,
4,
4,
3,
2,
2,
4,
2,
5,
3,
7,
3,
3,
3,
3,
2,
4,
1,
2,
3,
3,
3,
6,
3,
5,
3,
3,
3,
3,
4,
4,
5,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
8,
4,
3,
4,
6,
4,
4,
4,
3,
4,
4,
6,
4,
4,
4,
4,
2,
4,
4,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
1,
1,
2,
4,
2,
2,
4,
4,
3,
2,
2,
3,
3,
3,
4,
3,
3,
4,
3,
3,
3,
3,
3,
5,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
2,
2,
3,
6,
4,
3,
3,
5,
2,
6,
2,
3,
2,
2,
2,
2,
3,
3,
2,
3,
3,
1,
3,
3,
3,
3,
3,
2,
4,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
2,
5,
5,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
2,
4,
3,
4,
2,
4,
3,
4,
4,
3,
2,
3,
2,
4,
2,
3,
3,
3,
5,
2,
3,
3,
3,
2,
3,
2,
3,
2,
2,
3,
4,
4,
1,
4,
6,
4,
4,
4,
5,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
5,
6,
2,
6,
4,
3,
6,
3,
3,
2,
3,
3,
2,
3,
4,
4,
3,
2,
3,
6,
2,
3,
3,
3,
3,
4,
4,
4,
2,
4,
6,
4,
4,
4,
4,
4,
6,
4,
3,
3,
4,
2,
3,
2,
5,
3,
6,
3,
6,
5,
4,
4,
3,
2,
2,
3,
4,
2,
2,
4,
2,
4,
2,
3,
3,
3,
4,
3,
4,
6,
4,
4,
4,
8,
4,
2,
4,
3,
2,
4,
2,
4,
2,
4,
4,
2,
3,
2,
4,
4,
4,
4,
2,
4,
2,
4,
4,
4,
4,
3,
1,
2,
4,
3,
3,
3,
3,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
6,
1,
2,
2,
2,
5,
3,
2,
4,
3,
3,
3,
3,
2,
2,
4,
3,
2,
4,
3,
3,
3,
5,
5,
5,
5,
5,
3,
5,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
6,
4,
4,
8,
4,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
6,
2,
4,
4,
4,
3,
3,
4,
6,
2,
4,
3,
2,
2,
2,
2,
3,
2,
2,
1,
1,
1,
3,
2,
4,
4,
4,
4,
3,
4,
4,
2,
3,
4,
4,
2,
2,
2,
2,
3,
4,
6,
4,
4,
6,
2,
2,
4,
2,
5,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
4,
2,
2,
2,
4,
2,
3,
3,
7,
4,
2,
3,
3,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
3,
3,
3,
2,
3,
3,
4,
3,
1,
2,
2,
3,
2,
2,
3,
2,
4,
5,
4,
4,
3,
3,
4,
2,
4,
2,
2,
4,
4,
3,
6,
3,
6,
4,
4,
2,
4,
3,
2,
4,
4,
4,
3,
4,
4,
4,
2,
3,
3,
4,
3,
4,
4,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
4,
3,
6,
7,
4,
3,
2,
2,
6,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
3,
3,
2,
4,
4,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
7,
3,
2,
4,
4,
2,
2,
5,
4,
3,
3,
4,
2,
2,
4,
4,
3,
2,
2,
2,
3,
3,
4,
2,
3,
6,
4,
4,
3,
5,
2,
3,
4,
2,
5,
6,
3,
2,
4,
4,
3,
4,
5,
3,
3,
3,
4,
3,
2,
6,
3,
3,
3,
4,
3,
4,
3,
3,
4,
3,
3,
2,
4,
4,
2,
5,
4,
5,
4,
5,
5,
4,
2,
6,
5,
2,
2,
8,
2,
3,
4,
2,
4,
3,
3,
4,
2,
2,
3,
4,
3,
4,
3,
5,
5,
2,
2,
4,
4,
4,
5,
2,
7,
4,
4,
3,
2,
2,
2,
5,
2,
2,
3,
4,
4,
4,
5,
2,
2,
4,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
4,
2,
4,
3,
1,
4,
3,
2,
3,
3,
3,
3,
3,
4,
2,
2,
4,
4,
2,
2,
3,
5,
3,
3,
3,
3,
4,
4,
3,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
3,
2,
2,
3,
3,
2,
2,
4,
5,
4,
7,
6,
4,
4,
3,
3,
4,
3,
3,
3,
3,
4,
4,
5,
3,
3,
4,
7,
3,
5,
2,
6,
5,
2,
3,
3,
3,
1,
3,
4,
4,
4,
4,
4,
4,
7,
3,
4,
4,
4,
4,
4,
3,
5,
4,
3,
2,
2,
4,
3,
3,
4,
4,
4,
3,
2,
2,
2,
3,
3,
4,
4,
3,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
1,
4,
2,
3,
4,
4,
1,
3,
2,
4,
3,
3,
2,
4,
2,
2,
3,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
2,
5,
4,
2,
3,
2,
4,
3,
2,
4,
4,
3,
1,
3,
4,
4,
6,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
2,
3,
3,
2,
4,
3,
3,
4,
2,
4,
4,
5,
2,
3,
4,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
2,
3,
4,
3,
1,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
6,
4,
4,
4,
5,
7,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
2,
4,
3,
3,
4,
3,
2,
2,
2,
5,
2,
2,
3,
2,
2,
3,
3,
5,
4,
2,
7,
3,
3,
3,
2,
2,
3,
2,
2,
3,
2,
2,
2,
5,
3,
4,
3,
2,
2,
2,
2,
2,
4,
4,
2,
4,
2,
2,
2,
3,
4,
2,
2,
3,
2,
2,
4,
2,
2,
3,
3,
4,
3,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
6,
4,
4,
2,
2,
2,
1,
1,
4,
3,
4,
4,
5,
2,
2,
2,
2,
2,
2,
3,
2,
1,
2,
2,
4,
4,
4,
6,
3,
5,
4,
3,
4,
5,
5,
4,
3,
3,
4,
4,
5,
4,
2,
3,
2,
4,
4,
3,
4,
3,
3,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
4,
5,
3,
2,
4,
3,
4,
2,
2,
3,
4,
2,
3,
5,
5,
2,
5,
4,
5,
3,
5,
5,
3,
3,
5,
5,
2,
3,
5,
2,
4,
4,
4,
4,
6,
4,
3,
4,
2,
4,
3,
2,
4,
3,
5,
2,
8,
2,
2,
2,
2,
4,
4,
4,
4,
1,
2,
4,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
2,
6,
4,
7,
6,
2,
4,
3,
2,
4,
4,
4,
4,
2,
3,
2,
5,
4,
7,
4,
5,
3,
3,
3,
3,
5,
3,
3,
3,
3,
2,
4,
2,
2,
3,
5,
3,
3,
4,
3,
4,
2,
2,
4,
4,
4,
4,
2,
4,
5,
3,
4,
2,
3,
4,
4,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
6,
3,
4,
3,
3,
6,
3,
3,
3,
6,
4,
4,
6,
4,
4,
1,
2,
3,
3,
4,
4,
3,
4,
4,
4,
4,
6,
4,
5,
3,
6,
6,
6,
3,
5,
5,
4,
3,
2,
3,
2,
4,
2,
4,
4,
2,
2,
2,
2,
3,
3,
3,
4,
2,
2,
2,
4,
4,
2,
3,
4,
3,
2,
2,
4,
4,
4,
3,
2,
2,
3,
2,
2,
4,
2,
3,
2,
4,
3,
2,
3,
1,
3,
3,
3,
2,
4,
4,
4,
3,
4,
4,
8,
5,
3,
3,
4,
4,
4,
4,
2,
4,
2,
4,
1,
3,
3,
4,
4,
4,
4,
4,
2,
2,
1,
2,
6,
2,
5,
2,
4,
3,
3,
2,
3,
8,
3,
3,
5,
1,
3,
3,
3,
4,
4,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
5,
3,
4,
3,
4,
3,
4,
6,
4,
3,
2,
4,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
6,
3,
2,
4,
4,
4,
4,
2,
2,
1,
2,
3,
2,
4,
1,
3,
2,
1,
1,
1,
2,
1,
1,
2,
2,
2,
1,
3,
2,
4,
2,
4,
3,
5,
5,
5,
2,
5,
4,
3,
5,
4,
6,
2,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
3,
1,
4,
4,
5,
4,
2,
7,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
2,
2,
3,
3,
6,
7,
4,
2,
3,
4,
2,
2,
2,
3,
2,
2,
3,
5,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
4,
4,
5,
3,
4,
3,
3,
2,
2,
2,
2,
3,
4,
4,
4,
2,
1,
2,
1,
5,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
4,
3,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
5,
3,
5,
2,
2,
3,
3,
3,
7,
1,
2,
3,
3,
4,
2,
7,
2,
3,
3,
3,
3,
2,
1,
3,
6,
2,
5,
3,
2,
4,
4,
7,
4,
3,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
1,
2,
2,
4,
4,
3,
3,
2,
4,
2,
2,
3,
3,
3,
5,
3,
2,
4,
4,
2,
4,
4,
4,
3,
3,
1,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
6,
2,
2,
3,
4,
2,
2,
2,
4,
2,
2,
3,
4,
4,
4,
4,
3,
5,
3,
3,
3,
4,
4,
4,
4,
3,
4,
4,
4,
2,
1,
2,
2,
3,
3,
2,
4,
5,
5,
6,
7,
2,
2,
3,
3,
4,
3,
4,
2,
6,
2,
2,
2,
4,
5,
3,
4,
4,
3,
7,
4,
4,
4,
5,
4,
4,
2,
4,
2,
2,
3,
2,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
3,
4,
5,
4,
4,
2,
2,
3,
2,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
2,
4,
3,
4,
7,
4,
2,
6,
4,
4,
4,
4,
3,
7,
4,
2,
4,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
6,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
2,
9,
4,
4,
1,
6,
6,
3,
3,
3,
1,
1,
3,
4,
5,
6,
4,
3,
3,
4,
4,
4,
4,
4,
3,
2,
3,
4,
3,
4,
5,
5,
2,
3,
5,
2,
3,
5,
4,
3,
5,
4,
4,
4,
4,
3,
3,
3,
4,
2,
5,
4,
4,
2,
2,
2,
4,
2,
2,
4,
6,
3,
3,
3,
7,
2,
3,
2,
3,
2,
4,
4,
2,
2,
3,
5,
3,
3,
4,
2,
5,
3,
4,
5,
4,
3,
3,
5,
5,
2,
5,
2,
2,
5,
3,
2,
3,
3,
3,
3,
4,
1,
5,
5,
3,
4,
4,
2,
5,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
3,
3,
2,
3,
2,
5,
5,
3,
3,
2,
3,
4,
3,
3,
3,
4,
4,
3,
4,
2,
4,
2,
3,
3,
3,
3,
4,
2,
3,
2,
2,
4,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
7,
2,
4,
4,
8,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
5,
3,
4,
3,
4,
4,
4,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
3,
4,
3,
3,
4,
1,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
5,
4,
6,
3,
2,
4,
1,
4,
2,
2,
4,
2,
3,
3,
3,
4,
4,
3,
5,
3,
2,
5,
3,
4,
4,
4,
4,
4,
2,
3,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
6,
4,
4,
2,
3,
4,
3,
3,
3,
2,
3,
4,
2,
3,
3,
3,
4,
4,
6,
2,
2,
2,
2,
3,
2,
4,
2,
5,
4,
6,
3,
4,
2,
4,
2,
3,
2,
2,
2,
2,
2,
2,
4,
5,
4,
4,
4,
3,
3,
3,
4,
4,
3,
6,
3,
5,
5,
5,
3,
4,
3,
3,
4,
4,
4,
2,
4,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
3,
3,
4,
3,
4,
2,
4,
2,
3,
3,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
7,
3,
4,
4,
4,
2,
3,
2,
2,
5,
2,
6,
3,
4,
3,
6,
4,
2,
4,
2,
2,
2,
3,
3,
2,
2,
3,
4,
3,
3,
3,
4,
3,
2,
2,
4,
5,
5,
4,
4,
9,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
3,
2,
5,
3,
6,
6,
4,
4,
6,
3,
4,
4,
3,
4,
3,
3,
4,
3,
4,
4,
3,
2,
2,
3,
4,
6,
4,
3,
2,
5,
4,
2,
2,
3,
2,
3,
3,
3,
4,
3,
3,
3,
3,
4,
4,
3,
4,
4,
3,
4,
3,
2,
4,
3,
5,
2,
4,
2,
4,
3,
3,
2,
3,
4,
2,
4,
3,
4,
2,
4,
4,
2,
2,
4,
4,
2,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
5,
1,
4,
4,
4,
4,
3,
2,
2,
4,
2,
1,
2,
3,
6,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
1,
2,
2,
2,
4,
2,
2,
2,
4,
4,
2,
2,
2,
2,
5,
3,
2,
2,
4,
5,
4,
5,
5,
5,
2,
5,
4,
2,
2,
4,
2,
2,
1,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
3,
2,
3,
3,
4,
4,
3,
5,
5,
2,
3,
5,
3,
4,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
6,
4,
2,
3,
3,
3,
3,
2,
3,
3,
5,
5,
2,
2,
3,
3,
4,
3,
2,
3,
2,
2,
3,
3,
2,
3,
3,
4,
4,
4,
4,
3,
3,
5,
5,
5,
3,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
3,
2,
4,
3,
2,
2,
2,
4,
3,
4,
4,
4,
4,
1,
4,
4,
4,
4,
4,
4,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
3,
3,
2,
2,
3,
5,
2,
4,
4,
5,
4,
4,
4,
4,
4,
4,
4,
3,
4,
5,
3,
3,
3,
3,
2,
3,
3,
3,
5,
3,
3,
3,
2,
6,
2,
3,
2,
3,
3,
2,
4,
4,
4,
4,
7,
4,
4,
3,
2,
5,
2,
3,
3,
3,
3,
3,
4,
3,
6,
6,
3,
3,
4,
3,
3,
2,
4,
2,
4,
5,
1,
4,
2,
3,
2,
4,
3,
3,
3,
4,
3,
3,
4,
5,
3,
4,
4,
4,
4,
3,
4,
4,
4,
3,
3,
4,
2,
3,
3,
4,
2,
2,
2,
4,
4,
4,
3,
3,
3,
2,
4,
2,
3,
4,
6,
4,
4,
4,
2,
4,
3,
2,
3,
4,
1,
2,
5,
1,
3,
3,
3,
2,
2,
2,
2,
3,
3,
4,
2,
5,
5,
2,
5,
5,
3,
3,
4,
8,
4,
3,
3,
4,
4,
4,
4,
3,
2,
4,
7,
4,
2,
2,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
3,
4,
4,
2,
2,
4,
4,
3,
3,
3,
2,
4,
4,
4,
2,
4,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
3,
4,
4,
4,
3,
2,
3,
4,
3,
2,
2,
4,
2,
2,
4,
5,
5,
2,
6,
5,
5,
2,
2,
3,
2,
2,
3,
3,
3,
2,
4,
5,
4,
4,
4,
4,
4,
4,
4,
2,
4,
5,
3,
3,
4,
2,
4,
3,
3,
3,
3,
2,
3,
2,
4,
4,
5,
4,
4,
5,
3,
4,
4,
4,
2,
4,
4,
3,
3,
4,
4,
6,
2,
4,
4,
4,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
3,
3,
2,
3,
3,
3,
2,
4,
3,
2,
3,
2,
4,
4,
3,
2,
4,
4,
4,
4,
4,
3,
5,
5,
5,
4,
6,
4,
4,
4,
5,
4,
4,
1,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
7,
2,
3,
3,
3,
4,
5,
3,
3,
3,
2,
4,
2,
4,
4,
4,
4,
2,
2,
2,
3,
3,
4,
4,
4,
3,
3,
2,
4,
3,
4,
3,
3,
2,
4,
2,
5,
3,
3,
5,
6,
3,
3,
3,
2,
4,
4,
3,
3,
4,
4,
4,
4,
2,
4,
4,
1,
2,
2,
3,
2,
2,
2,
4,
3,
3,
3,
4,
5,
2,
5,
4,
2,
2,
4,
4,
2,
3,
3,
3,
3,
4,
2,
4,
4,
5,
5,
5,
2,
4,
4,
3,
6,
3,
3,
4,
4,
3,
2,
2,
2,
2,
4,
3,
5,
4,
4,
4,
1,
4,
4,
4,
4,
5,
5,
5,
5,
5,
4,
5,
3,
4,
2,
3,
2,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
3,
2,
2,
3,
3,
4,
4,
6,
4,
3,
3,
4,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
2,
1,
2,
2,
4,
4,
6,
4,
4,
2,
2,
3,
2,
4,
4,
8,
5,
2,
3,
3,
3,
2,
4,
3,
2,
3,
5,
4,
5,
4,
2,
4,
6,
2,
2,
2,
3,
4,
4,
4,
4,
1,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
4,
4,
3,
4,
3,
4,
2,
2,
1,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
6,
3,
3,
3,
2,
3,
6,
2,
3,
3,
3,
3,
6,
4,
3,
2,
5,
4,
4,
4,
4,
3,
3,
2,
3,
8,
3,
4,
2,
3,
3,
6,
3,
4,
2,
4,
3,
3,
5,
5,
3,
1,
2,
4,
4,
4,
2,
3,
2,
3,
4,
2,
2,
2,
1,
3,
4,
2,
2,
2,
4,
4,
4,
2,
3,
1,
3,
3,
2,
3,
6,
3,
3,
3,
2,
3,
2,
5,
4,
4,
2,
3,
4,
4,
2,
3,
4,
5,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
4,
2,
4,
1,
2,
4,
4,
3,
3,
4,
3,
3,
3,
3,
2,
2,
3,
2,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
5,
5,
2,
2,
2,
2,
5,
5,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
5,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
5,
3,
2,
3,
3,
2,
3,
3,
1,
3,
3,
4,
4,
2,
3,
5,
3,
2,
2,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
5,
5,
2,
3,
4,
3,
4,
7,
4,
2,
3,
4,
3,
2,
3,
4,
5,
3,
7,
4,
2,
2,
4,
4,
2,
3,
3,
2,
2,
2,
4,
4,
1,
4,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
3,
8,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
4,
2,
2,
2,
2,
3,
2,
5,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
4,
2,
2,
4,
4,
2,
2,
2,
2,
4,
3,
4,
5,
2,
3,
3,
4,
2,
4,
3,
2,
4,
4,
4,
4,
4,
5,
4,
2,
4,
2,
3,
6,
4,
4,
3,
4,
3,
2,
2,
3,
3,
2,
2,
2,
3,
2,
2,
2,
1,
4,
1,
2,
3,
2,
2,
4,
2,
3,
3,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
3,
3,
2,
3,
3,
4,
2,
3,
2,
3,
3,
4,
2,
2,
3,
4,
1,
3,
3,
3,
3,
4,
3,
6,
4,
4,
3,
2,
5,
2,
2,
4,
4,
4,
4,
2,
2,
4,
4,
2,
4,
1,
4,
3,
3,
2,
5,
4,
4,
2,
2,
3,
3,
2,
2,
5,
3,
3,
2,
3,
5,
2,
3,
2,
4,
2,
2,
4,
2,
2,
4,
2,
2,
4,
4,
4,
4,
4,
3,
1,
2,
2,
2,
4,
3,
4,
4,
4,
2,
2,
2,
3,
2,
2,
3,
4,
2,
5,
2,
2,
3,
2,
3,
3,
4,
3,
4,
4,
3,
4,
2,
2,
3,
4,
2,
4,
4,
2,
2,
3,
6,
4,
4,
4,
4,
3,
5,
2,
4,
4,
4,
4,
4,
2,
1,
3,
3,
2,
2,
3,
4,
4,
3,
4,
4,
2,
3,
4,
2,
2,
2,
2,
2,
3,
4,
2,
4,
4,
4,
5,
2,
2,
2,
5,
4,
5,
5,
3,
5,
4,
2,
4,
3,
5,
2,
3,
4,
3,
3,
2,
4,
4,
3,
3,
3,
4,
3,
4,
3,
4,
4,
3,
4,
4,
4,
4,
2,
2,
3,
2,
4,
1,
2,
4,
2,
2,
3,
2,
3,
2,
2,
2,
4,
4,
3,
2,
6,
2,
4,
2,
2,
3,
2,
2,
5,
3,
4,
3,
3,
4,
2,
4,
3,
3,
4,
1,
3,
3,
3,
3,
3,
2,
2,
4,
4,
2,
2,
4,
4,
3,
2,
2,
2,
2,
2,
4,
7,
2,
3,
3,
3,
3,
3,
2,
3,
2,
5,
6,
3,
3,
2,
4,
4,
4,
4,
4,
2,
2,
3,
3,
2,
2,
2,
2,
4,
4,
3,
5,
5,
3,
3,
3,
3,
5,
4,
4,
3,
5,
3,
2,
4,
3,
3,
2,
6,
3,
4,
2,
2,
3,
3,
2,
4,
3,
4,
3,
2,
3,
3,
4,
4,
5,
3,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
5,
3,
6,
2,
3,
4,
5,
3,
4,
2,
6,
2,
2,
2,
2,
4,
4,
2,
3,
3,
4,
2,
3,
3,
1,
2,
2,
2,
3,
3,
3,
3,
3,
5,
4,
4,
5,
2,
3,
6,
6,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
4,
6,
3,
4,
4,
2,
2,
3,
3,
4,
2,
2,
3,
5,
6,
3,
4,
4,
3,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
5,
3,
4,
4,
4,
2,
2,
4,
3,
2,
5,
5,
4,
2,
3,
4,
6,
4,
3,
4,
3,
3,
3,
4,
3,
4,
4,
3,
4,
4,
5,
2,
3,
2,
4,
1,
2,
2,
3,
2,
3,
3,
4,
6,
5,
2,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
4,
2,
4,
4,
6,
4,
2,
4,
1,
4,
4,
4,
5,
4,
5,
2,
2,
2,
2,
6,
2,
2,
2,
3,
4,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
5,
1,
2,
4,
3,
4,
3,
3,
3,
2,
3,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
2,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
4,
3,
3,
3,
2,
3,
3,
2,
2,
2,
4,
4,
2,
5,
2,
5,
2,
3,
6,
3,
3,
4,
5,
4,
4,
3,
2,
1,
5,
1,
5,
3,
3,
2,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
2,
4,
4,
6,
6,
3,
2,
3,
5,
3,
3,
3,
3,
2,
3,
2,
5,
3,
4,
4,
2,
4,
2,
3,
3,
3,
2,
4,
4,
2,
3,
4,
3,
3,
3,
2,
2,
2,
1,
1,
2,
2,
2,
2,
3,
3,
4,
3,
4,
3,
2,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
3,
2,
3,
4,
2,
4,
4,
2,
2,
4,
4,
2,
3,
3,
4,
2,
4,
2,
4,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
5,
6,
3,
2,
2,
2,
2,
4,
4,
3,
2,
2,
1,
2,
2,
2,
3,
3,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
3,
3,
4,
3,
4,
2,
4,
2,
3,
6,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
2,
2,
2,
2,
2,
6,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
5,
7,
2,
2,
4,
2,
3,
3,
5,
5,
5,
3,
5,
5,
5,
2,
2,
2,
4,
4,
7,
5,
3,
3,
3,
4,
2,
3,
2,
3,
4,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
4,
4,
4,
4,
6,
4,
4,
2,
2,
4,
6,
4,
2,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
2,
2,
4,
4,
3,
3,
3,
4,
3,
6,
2,
4,
9,
4,
2,
4,
4,
2,
2,
4,
2,
3,
5,
2,
4,
4,
5,
5,
6,
3,
2,
4,
4,
4,
4,
4,
3,
4,
3,
4,
4,
4,
2,
3,
3,
3,
3,
2,
3,
3,
3,
2,
3,
3,
2,
5,
3,
4,
4,
4,
5,
4,
2,
4,
4,
4,
5,
4,
2,
2,
2,
3,
4,
4,
1,
1,
2,
1,
4,
6,
2,
3,
3,
3,
4,
7,
2,
4,
3,
3,
2,
2,
4,
4,
3,
3,
4,
5,
4,
2,
4,
3,
3,
2,
2,
3,
3,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
2,
2,
2,
3,
3,
4,
2,
4,
3,
3,
2,
3,
2,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
3,
2,
2,
3,
3,
3,
4,
3,
3,
5,
3,
4,
2,
2,
2,
2,
6,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
3,
2,
5,
2,
2,
4,
4,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
4,
3,
4,
4,
3,
4,
2,
2,
2,
3,
8,
4,
5,
2,
4,
1,
2,
3,
2,
4,
2,
4,
3,
4,
4,
7,
4,
2,
3,
2,
2,
2,
4,
5,
2,
2,
2,
2,
2,
4,
3,
3,
5,
3,
4,
2,
2,
2,
4,
2,
3,
4,
4,
4,
3,
4,
4,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
4,
3,
4,
4,
4,
2,
4,
4,
5,
2,
3,
4,
4,
3,
3,
2,
3,
2,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
4,
4,
2,
2,
3,
2,
4,
7,
4,
2,
4,
4,
5,
5,
1,
3,
3,
3,
2,
3,
3,
3,
3,
4,
2,
4,
2,
4,
2,
4,
2,
2,
6,
3,
3,
2,
2,
3,
2,
3,
2,
3,
2,
2,
4,
2,
4,
2,
4,
3,
3,
3,
2,
2,
4,
4,
3,
4,
3,
3,
3,
3,
3,
4,
3,
2,
2,
2,
3,
4,
2,
4,
3,
2,
2,
4,
2,
3,
4,
5,
4,
4,
4,
4,
3,
2,
1,
2,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
1,
3,
2,
2,
4,
3,
3,
2,
4,
4,
4,
4,
4,
5,
4,
4,
3,
2,
3,
3,
4,
4,
2,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
6,
3,
4,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
3,
2,
5,
4,
3,
3,
3,
7,
3,
5,
5,
2,
2,
3,
3,
3,
2,
3,
2,
2,
5,
2,
3,
3,
4,
2,
4,
4,
2,
4,
3,
3,
6,
3,
1,
4,
4,
3,
3,
3,
5,
4,
4,
3,
3,
2,
2,
3,
3,
4,
4,
4,
2,
2,
4,
4,
4,
5,
3,
3,
3,
3,
5,
2,
2,
4,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
2,
2,
3,
2,
3,
2,
4,
3,
5,
2,
5,
2,
3,
3,
4,
5,
2,
2,
5,
2,
2,
4,
3,
3,
3,
2,
2,
2,
2,
3,
6,
3,
2,
5,
2,
2,
4,
4,
4,
4,
4,
2,
4,
6,
6,
4,
2,
3,
3,
3,
3,
2,
5,
3,
4,
4,
4,
4,
4,
2,
3,
4,
4,
3,
3,
3,
3,
4,
4,
1,
3,
4,
4,
4,
3,
2,
4,
2,
4,
4,
4,
4,
4,
3,
2,
4,
6,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
4,
4,
2,
4,
2,
4,
2,
3,
2,
2,
2,
3,
3,
4,
4,
4,
6,
2,
3,
3,
2,
4,
2,
5,
5,
3,
3,
4,
2,
2,
3,
1,
3,
2,
3,
4,
2,
3,
2,
4,
3,
2,
3,
3,
3,
2,
3,
5,
2,
2,
3,
3,
2,
1,
2,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
4,
2,
5,
5,
4,
2,
2,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
3,
5,
5,
6,
3,
4,
4,
2,
5,
2,
2,
4,
3,
3,
4,
4,
5,
5,
4,
4,
3,
4,
2,
3,
4,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
4,
3,
4,
4,
2,
2,
4,
3,
4,
4,
4,
3,
3,
3,
3,
2,
2,
3,
3,
4,
2,
4,
2,
4,
2,
4,
4,
4,
4,
2,
2,
2,
4,
2,
2,
4,
3,
2,
4,
2,
4,
4,
2,
2,
4,
3,
4,
2,
3,
4,
6,
8,
2,
4,
2,
4,
3,
3,
4,
2,
7,
7,
1,
7,
4,
2,
3,
4,
4,
2,
2,
3,
3,
3,
2,
3,
3,
4,
4,
3,
4,
3,
3,
4,
3,
2,
3,
3,
2,
3,
3,
3,
5,
2,
3,
4,
5,
4,
2,
2,
4,
4,
3,
4,
2,
4,
3,
4,
2,
2,
3,
3,
3,
2,
4,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
2,
3,
2,
2,
2,
3,
3,
3,
3,
2,
3,
3,
4,
3,
2,
3,
2,
2,
4,
5,
5,
3,
3,
3,
2,
3,
3,
2,
2,
4,
2,
5,
4,
5,
3,
3,
3,
4,
3,
2,
3,
3,
3,
3,
2,
3,
2,
4,
3,
3,
2,
2,
3,
4,
3,
6,
3,
4,
5,
3,
5,
4,
4,
2,
2,
4,
3,
4,
5,
3,
4,
2,
2,
3,
2,
5,
4,
4,
2,
4,
4,
4,
1,
3,
2,
4,
2,
4,
3,
4,
3,
2,
4,
2,
2,
3,
2,
5,
5,
6,
6,
3,
3,
3,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
3,
2,
4,
3,
5,
3,
4,
4,
3,
3,
2,
4,
4,
3,
2,
2,
4,
2,
2,
4,
3,
4,
4,
4,
2,
2,
4,
7,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
5,
3,
4,
4,
5,
5,
5,
6,
4,
2,
4,
5,
4,
4,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
4,
5,
4,
4,
2,
4,
4,
6,
2,
3,
2,
2,
3,
3,
5,
3,
4,
3,
1,
4,
4,
4,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
4,
3,
4,
4,
2,
4,
5,
4,
3,
3,
4,
4,
4,
2,
2,
4,
4,
2,
2,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
4,
2,
2,
2,
3,
4,
6,
4,
4,
4,
5,
2,
4,
4,
3,
3,
4,
2,
4,
4,
3,
2,
2,
4,
4,
4,
5,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
2,
4,
3,
3,
7,
2,
4,
3,
3,
3,
5,
2,
3,
3,
2,
3,
2,
2,
3,
3,
3,
1,
3,
2,
4,
7,
3,
4,
2,
4,
4,
3,
4,
7,
4,
4,
4,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
4,
2,
2,
4,
3,
3,
4,
4,
3,
4,
4,
2,
4,
4,
2,
4,
2,
4,
4,
3,
3,
4,
3,
3,
3,
6,
6,
7,
1,
1,
2,
4,
4,
4,
4,
2,
3,
1,
3,
3,
4,
2,
2,
2,
3,
3,
3,
6,
4,
2,
2,
3,
3,
5,
3,
4,
3,
5,
2,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
3,
3,
4,
3,
3,
3,
5,
2,
2,
3,
2,
3,
3,
5,
3,
6,
2,
2,
2,
2,
2,
5,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
3,
4,
3,
3,
3,
3,
3,
2,
3,
2,
2,
1,
2,
2,
2,
1,
2,
3,
2,
4,
4,
4,
2,
3,
4,
4,
3,
2,
3,
2,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
2,
3,
3,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
4,
2,
3,
3,
2,
3,
3,
2,
4,
5,
1,
4,
2,
4,
4,
2,
3,
2,
3,
2,
2,
2,
2,
2,
4,
3,
2,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
5,
2,
5,
3,
3,
2,
2,
2,
2,
2,
2,
6,
2,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
6,
2,
3,
3,
4,
4,
3,
3,
3,
5,
2,
2,
2,
4,
4,
2,
2,
6,
2,
2,
4,
2,
2,
3,
4,
4,
2,
2,
3,
1,
3,
4,
3,
5,
4,
4,
4,
4,
4,
4,
5,
2,
2,
2,
2,
4,
5,
2,
2,
4,
4,
5,
3,
4,
3,
4,
4,
2,
4,
4,
4,
5,
2,
4,
4,
4,
4,
4,
4,
1,
2,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
4,
4,
2,
2,
2,
4,
4,
5,
4,
4,
4,
2,
4,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
3,
4,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
3,
3,
3,
2,
4,
4,
5,
2,
2,
5,
2,
2,
5,
2,
3,
3,
3,
3,
3,
3,
2,
3,
4,
4,
3,
2,
4,
4,
4,
2,
3,
6,
3,
3,
5,
2,
3,
3,
4,
4,
4,
4,
1,
4,
5,
4,
2,
2,
2,
5,
3,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
4,
3,
4,
4,
3,
2,
2,
4,
2,
3,
3,
3,
2,
4,
2,
3,
4,
4,
5,
4,
8,
2,
3,
4,
2,
2,
6,
4,
3,
2,
4,
1,
3,
5,
2,
2,
6,
4,
3,
4,
4,
2,
3,
3,
2,
4,
2,
3,
3,
4,
5,
2,
4,
4,
3,
3,
2,
4,
4,
4,
4,
4,
3,
8,
3,
3,
3,
1,
2,
2,
2,
2,
2,
5,
3,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
4,
2,
4,
5,
2,
2,
4,
2,
4,
4,
4,
4,
2,
4,
3,
4,
3,
6,
2,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
3,
4,
4,
2,
4,
2,
4,
2,
1,
2,
2,
4,
1,
2,
2,
2,
2,
4,
4,
3,
4,
5,
4,
5,
4,
2,
4,
2,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
1,
4,
2,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
2,
7,
3,
3,
3,
4,
2,
2,
5,
4,
4,
4,
3,
1,
4,
3,
3,
3,
3,
2,
3,
4,
2,
4,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
4,
6,
4,
3,
3,
3,
2,
3,
4,
3,
4,
3,
4,
4,
4,
4,
3,
3,
4,
2,
3,
3,
3,
4,
4,
2,
3,
5,
3,
3,
5,
3,
4,
4,
4,
3,
4,
3,
3,
3,
2,
2,
4,
7,
3,
4,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
5,
6,
4,
4,
6,
4,
5,
4,
4,
2,
4,
9,
2,
2,
2,
4,
3,
2,
4,
3,
3,
3,
2,
3,
4,
3,
2,
2,
6,
2,
4,
4,
4,
2,
5,
4,
6,
4,
6,
4,
4,
5,
5,
4,
5,
8,
4,
2,
2,
2,
2,
3,
3,
3,
5,
3,
4,
5,
3,
2,
2,
1,
4,
4,
6,
4,
2,
4,
2,
5,
2,
3,
3,
3,
4,
2,
2,
2,
1,
2,
2,
3,
3,
5,
3,
3,
4,
4,
4,
3,
2,
3,
2,
5,
3,
3,
3,
4,
3,
3,
2,
2,
2,
4,
2,
2,
4,
4,
3,
3,
2,
4,
4,
4,
3,
4,
4,
3,
2,
3,
3,
3,
3,
1,
2,
2,
2,
4,
3,
2,
4,
4,
4,
3,
3,
3,
4,
4,
5,
3,
2,
2,
2,
3,
4,
4,
3,
4,
6,
4,
3,
2,
2,
4,
3,
2,
4,
3,
4,
2,
4,
2,
2,
2,
4,
5,
3,
3,
4,
2,
3,
3,
4,
3,
2,
3,
2,
3,
4,
4,
3,
4,
2,
2,
1,
2,
4,
2,
2,
2,
1,
3,
2,
4,
3,
5,
2,
2,
2,
2,
3,
3,
3,
6,
5,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
6,
5,
3,
8,
2,
6,
4,
3,
4,
2,
3,
5,
3,
1,
2,
4,
4,
5,
3,
2,
2,
3,
2,
1,
2,
4,
5,
2,
4,
4,
4,
4,
2,
4,
2,
2,
3,
3,
3,
5,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
2,
4,
3,
3,
3,
2,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
5,
5,
2,
3,
4,
4,
2,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
5,
4,
4,
4,
4,
2,
4,
4,
2,
4,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
5,
5,
4,
6,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
4,
4,
4,
3,
5,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
3,
4,
4,
3,
2,
4,
4,
3,
2,
4,
4,
4,
2,
4,
3,
3,
1,
2,
4,
4,
4,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
4,
6,
3,
4,
5,
4,
5,
4,
4,
4,
4,
4,
3,
4,
4,
2,
3,
4,
3,
4,
4,
2,
4,
4,
2,
2,
3,
3,
3,
3,
5,
4,
6,
4,
5,
4,
4,
3,
2,
3,
4,
3,
2,
6,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
4,
3,
1,
2,
4,
3,
2,
4,
4,
4,
4,
4,
4,
2,
2,
4,
5,
3,
3,
4,
4,
4,
2,
4,
4,
5,
3,
2,
2,
3,
4,
4,
3,
4,
6,
2,
2,
2,
5,
1,
2,
5,
4,
4,
2,
3,
4,
4,
2,
4,
4,
3,
3,
3,
2,
2,
3,
2,
3,
3,
2,
4,
4,
2,
2,
4,
4,
3,
2,
4,
1,
3,
2,
3,
3,
3,
3,
3,
2,
3,
4,
4,
2,
3,
3,
4,
3,
3,
3,
3,
3,
5,
3,
4,
4,
3,
2,
2,
2,
2,
3,
3,
2,
3,
3,
4,
5,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
2,
3,
3,
2,
2,
4,
3,
3,
4,
4,
4,
2,
4,
4,
5,
4,
2,
2,
4,
4,
2,
4,
4,
3,
5,
5,
4,
4,
4,
5,
4,
5,
2,
4,
3,
3,
2,
2,
4,
5,
3,
4,
4,
5,
2,
2,
4,
4,
4,
4,
2,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
6,
4,
5,
6,
4,
3,
2,
3,
2,
2,
4,
3,
2,
2,
2,
5,
5,
4,
4,
7,
2,
3,
3,
4,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
5,
3,
3,
4,
2,
5,
3,
4,
3,
3,
3,
3,
3,
6,
4,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
7,
3,
7,
3,
5,
5,
6,
4,
5,
2,
4,
5,
4,
2,
4,
5,
3,
5,
3,
5,
4,
2,
4,
3,
3,
4,
5,
2,
3,
2,
6,
2,
3,
3,
4,
2,
4,
2,
2,
2,
2,
5,
5,
6,
3,
6,
4,
2,
3,
4,
4,
4,
6,
4,
2,
4,
4,
2,
6,
2,
4,
2,
4,
4,
4,
4,
4,
2,
3,
2,
1,
2,
3,
2,
3,
4,
2,
3,
2,
3,
4,
2,
3,
3,
3,
3,
3,
3,
2,
4,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
3,
2,
2,
2,
4,
4,
5,
4,
4,
3,
3,
2,
4,
4,
4,
4,
2,
4,
2,
2,
5,
3,
2,
2,
2,
2,
2,
3,
4,
3,
2,
2,
4,
4,
3,
3,
3,
3,
5,
2,
3,
3,
3,
4,
4,
5,
3,
3,
4,
4,
4,
3,
4,
3,
3,
3,
4,
2,
4,
3,
3,
2,
3,
4,
3,
7,
2,
3,
3,
2,
4,
2,
3,
4,
4,
2,
2,
4,
4,
4,
4,
2,
4,
5,
4,
4,
4,
4,
2,
2,
6,
2,
3,
2,
2,
4,
2,
5,
5,
3,
6,
5,
2,
3,
2,
2,
2,
3,
3,
4,
8,
3,
4,
3,
3,
2,
3,
3,
3,
3,
2,
4,
4,
4,
4,
2,
4,
2,
3,
2,
2,
2,
3,
4,
3,
4,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
5,
3,
3,
3,
3,
3,
2,
1,
2,
3,
4,
4,
2,
5,
2,
2,
2,
2,
2,
4,
3,
4,
4,
4,
2,
3,
3,
1,
2,
1,
3,
2,
3,
4,
2,
3,
4,
3,
3,
4,
4,
4,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
4,
4,
2,
2,
4,
4,
5,
3,
2,
2,
3,
4,
4,
3,
3,
5,
4,
4,
4,
5,
2,
4,
4,
4,
4,
4,
2,
4,
4,
5,
5,
4,
4,
3,
4,
2,
2,
2,
2,
6,
2,
2,
1,
1,
3,
3,
3,
3,
7,
3,
4,
3,
3,
3,
2,
3,
1,
3,
3,
4,
5,
3,
4,
4,
3,
2,
3,
3,
5,
2,
3,
5,
3,
3,
9,
4,
4,
4,
4,
2,
2,
4,
4,
3,
3,
4,
4,
4,
3,
2,
2,
3,
3,
3,
3,
2,
3,
3,
4,
4,
4,
3,
4,
4,
2,
2,
5,
4,
4,
5,
4,
3,
3,
3,
6,
4,
4,
4,
4,
2,
4,
2,
3,
4,
5,
2,
5,
2,
2,
2,
2,
4,
2,
5,
4,
2,
5,
5,
3,
4,
2,
6,
3,
6,
5,
3,
3,
2,
2,
5,
4,
4,
2,
4,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
4,
1,
2,
4,
2,
2,
2,
2,
2,
2,
1,
2,
1,
3,
3,
3,
3,
6,
2,
2,
4,
3,
3,
3,
4,
4,
2,
3,
3,
7,
3,
3,
3,
3,
3,
3,
2,
5,
2,
2,
4,
4,
4,
4,
3,
3,
2,
2,
3,
3,
4,
2,
2,
3,
3,
3,
3,
3,
4,
3,
3,
4,
3,
2,
4,
4,
2,
2,
2,
4,
2,
2,
3,
3,
2,
2,
3,
3,
3,
5,
2,
2,
2,
2,
4,
4,
2,
2,
2,
1,
4,
4,
5,
4,
4,
4,
3,
3,
3,
3,
4,
2,
3,
4,
4,
1,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
6,
4,
4,
4,
3,
4,
8,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
4,
4,
5,
4,
4,
3,
3,
2,
4,
4,
5,
4,
4,
4,
3,
2,
5,
4,
6,
6,
2,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
3,
2,
2,
4,
2,
3,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
4,
2,
3,
4,
4,
5,
2,
3,
2,
3,
3,
3,
4,
4,
2,
3,
2,
3,
4,
4,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6,
3,
3,
4,
3,
2,
3,
1,
2,
4,
4,
4,
2,
2,
2,
3,
3,
4,
4,
2,
4,
4,
5,
4,
3,
5,
4,
4,
2,
4,
6,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
5,
2,
3,
3,
3,
3,
2,
3,
3,
2,
5,
2,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
3,
4,
5,
5,
3,
4,
4,
4,
2,
2,
2,
3,
2,
3,
2,
2,
4,
3,
2,
2,
2,
4,
4,
7,
4,
2,
3,
2,
3,
4,
4,
2,
2,
3,
4,
3,
3,
4,
4,
4,
5,
3,
4,
3,
2,
2,
2,
2,
2,
2,
1,
4,
2,
2,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
3,
4,
5,
5,
2,
3,
4,
4,
4,
3,
4,
2,
6,
2,
3,
3,
3,
2,
2,
2,
3,
6,
2,
2,
2,
2,
2,
4,
2,
4,
2,
1,
2,
2,
2,
3,
5,
3,
2,
2,
2,
5,
1,
2,
4,
4,
2,
2,
3,
2,
5,
6,
3,
3,
3,
3,
2,
3,
3,
1,
2,
4,
4,
4,
2,
2,
3,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
1,
3,
2,
4,
4,
4,
3,
2,
2,
3,
2,
5,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
3,
2,
5,
3,
2,
3,
2,
3,
5,
5,
3,
4,
4,
4,
4,
2,
4,
4,
4,
3,
4,
4,
2,
4,
3,
4,
3,
4,
3,
3,
5,
3,
2,
3,
5,
3,
2,
2,
4,
4,
4,
3,
4,
3,
3,
5,
3,
2,
2,
3,
4,
5,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
2,
2,
4,
2,
4,
3,
2,
3,
2,
4,
5,
5,
3,
6,
6,
4,
3,
3,
4,
3,
2,
6,
3,
1,
4,
2,
2,
3,
2,
2,
2,
4,
4,
4,
5,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
2,
2,
5,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
1,
3,
3,
3,
3,
3,
3,
5,
3,
2,
3,
3,
2,
2,
3,
3,
6,
5,
4,
4,
7,
3,
2,
1,
2,
4,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
1,
3,
3,
1,
3,
3,
3,
3,
1,
2,
2,
2,
2,
1,
4,
6,
4,
5,
4,
6,
4,
4,
2,
2,
4,
2,
2,
3,
2,
5,
4,
4,
7,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
3,
4,
4,
3,
4,
4,
3,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
4,
4,
4,
4,
3,
2,
4,
2,
3,
2,
2,
6,
2,
3,
3,
4,
2,
4,
4,
4,
3,
2,
2,
2,
2,
5,
1,
4,
4,
2,
2,
2,
2,
2,
4,
3,
2,
4,
3,
2,
2,
4,
3,
2,
2,
2,
2,
4,
4,
4,
5,
2,
2,
2,
3,
4,
4,
2,
4,
2,
2,
4,
2,
3,
3,
4,
3,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
2,
4,
4,
5,
4,
4,
4,
3,
3,
3,
3,
4,
4,
4,
3,
2,
1,
6,
3,
3,
3,
3,
3,
3,
4,
6,
3,
2,
4,
2,
3,
2,
2,
4,
2,
2,
4,
4,
4,
2,
2,
2,
3,
4,
2,
4,
4,
2,
5,
4,
4,
4,
4,
4,
4,
4,
8,
4,
3,
2,
4,
2,
4,
2,
1,
4,
3,
5,
5,
3,
5,
4,
4,
3,
3,
3,
3,
2,
2,
3,
2,
4,
2,
3,
2,
2,
2,
2,
3,
4,
4,
4,
3,
4,
3,
4,
4,
3,
3,
3,
5,
4,
4,
5,
4,
4,
2,
3,
1,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
4,
4,
9,
4,
4,
4,
4,
3,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
2,
2,
3,
4,
2,
3,
2,
2,
4,
3,
3,
3,
4,
4,
5,
3,
4,
2,
2,
4,
3,
2,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
5,
5,
2,
2,
3,
3,
3,
3,
3,
4,
4,
2,
4,
3,
4,
2,
4,
4,
4,
2,
4,
2,
2,
4,
3,
2,
2,
4,
3,
3,
4,
3,
3,
4,
4,
3,
3,
2,
3,
4,
2,
4,
2,
2,
2,
2,
2,
4,
4,
6,
7,
4,
3,
8,
2,
3,
6,
4,
6,
3,
5,
4,
4,
5,
3,
4,
4,
2,
2,
2,
3,
2,
3,
5,
4,
3,
2,
2,
2,
1,
2,
3,
3,
4,
4,
3,
3,
2,
2,
2,
1,
3,
2,
1,
3,
3,
7,
5,
3,
2,
2,
2,
2,
3,
3,
4,
3,
3,
2,
2,
3,
4,
4,
3,
2,
3,
3,
2,
4,
4,
3,
3,
4,
1,
5,
3,
3,
3,
4,
4,
2,
2,
3,
3,
2,
2,
6,
4,
2,
2,
2,
2,
2,
4,
5,
3,
4,
2,
3,
4,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
3,
4,
2,
1,
4,
2,
4,
3,
5,
4,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
2,
4,
3,
5,
3,
3,
2,
3,
4,
3,
3,
3,
2,
2,
2,
3,
2,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
4,
3,
4,
4,
2,
2,
2,
4,
2,
2,
4,
2,
4,
7,
3,
3,
3,
4,
6,
4,
4,
5,
6,
6,
3,
5,
7,
8,
7,
4,
3,
6,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
2,
2,
7,
2,
2,
2,
2,
4,
2,
3,
2,
4,
7,
2,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
4,
4,
4,
2,
2,
3,
3,
2,
5,
2,
7,
2,
2,
2,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
5,
3,
3,
2,
5,
5,
5,
3,
4,
4,
4,
5,
4,
3,
2,
4,
3,
3,
4,
3,
3,
3,
3,
4,
5,
2,
4,
2,
2,
3,
6,
2,
2,
2,
5,
3,
6,
4,
5,
5,
2,
2,
2,
3,
2,
3,
3,
3,
2,
2,
4,
4,
3,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
4,
3,
5,
6,
4,
3,
3,
4,
4,
3,
2,
2,
3,
5,
3,
2,
2,
4,
4,
2,
2,
2,
4,
5,
5,
3,
3,
2,
2,
4,
3,
1,
4,
4,
6,
4,
1,
4,
3,
5,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
4,
6,
2,
2,
3,
4,
4,
4,
2,
4,
3,
4,
3,
3,
3,
6,
3,
3,
6,
3,
4,
2,
4,
4,
3,
2,
2,
4,
4,
4,
5,
4,
4,
5,
2,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
3,
4,
3,
2,
1,
2,
3,
4,
3,
2,
1,
3,
3,
3,
3,
2,
3,
3,
2,
2,
4,
2,
4,
2,
2,
4,
4,
4,
3,
4,
5,
2,
3,
2,
3,
3,
2,
2,
3,
2,
2,
4,
3,
3,
3,
2,
2,
6,
2,
4,
2,
4,
3,
2,
2,
3,
4,
4,
2,
1,
4,
2,
3,
2,
3,
2,
3,
2,
2,
4,
4,
2,
5,
3,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
7,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
3,
2,
5,
2,
2,
2,
4,
4,
3,
4,
4,
2,
4,
4,
4,
4,
2,
2,
3,
3,
3,
4,
2,
4,
4,
2,
2,
6,
7,
4,
3,
3,
2,
3,
2,
3,
3,
4,
4,
4,
4,
3,
3,
4,
3,
3,
4,
3,
2,
3,
3,
3,
3,
4,
3,
2,
4,
5,
2,
4,
3,
5,
3,
2,
3,
3,
4,
4,
5,
4,
2,
3,
3,
3,
3,
3,
3,
5,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
3,
2,
4,
5,
6,
5,
4,
3,
3,
3,
4,
4,
2,
2,
3,
9,
2,
2,
2,
2,
2,
3,
2,
1,
1,
2,
2,
2,
3,
3,
3,
2,
4,
8,
3,
4,
2,
3,
4,
4,
4,
4,
4,
2,
4,
3,
2,
3,
2,
3,
4,
4,
4,
4,
4,
2,
4,
3,
2,
3,
2,
3,
2,
2,
3,
2,
2,
2,
3,
2,
2,
5,
2,
2,
2,
4,
2,
4,
3,
3,
2,
2,
2,
5,
5,
2,
2,
4,
3,
5,
4,
4,
4,
3,
3,
3,
2,
4,
3,
5,
7,
7,
5,
4,
4,
4,
4,
4,
5,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
2,
2,
3,
2,
4,
2,
2,
3,
3,
2,
2,
2,
2,
2,
1,
4,
2,
4,
4,
7,
4,
4,
4,
4,
4,
4,
3,
3,
3,
5,
3,
3,
3,
2,
2,
3,
2,
2,
3,
4,
5,
3,
3,
3,
2,
5,
2,
2,
3,
2,
3,
3,
5,
2,
3,
4,
4,
4,
5,
5,
4,
7,
4,
4,
3,
3,
3,
4,
2,
3,
4,
3,
2,
2,
3,
2,
4,
6,
2,
2,
2,
6,
4,
5,
4,
2,
5,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
4,
2,
3,
3,
7,
2,
4,
4,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
4,
4,
2,
4,
4,
4,
6,
3,
4,
4,
2,
4,
4,
3,
4,
2,
4,
2,
2,
4,
4,
3,
2,
4,
4,
4,
4,
4,
3,
2,
2,
4,
4,
5,
4,
4,
4,
4,
2,
3,
4,
8,
2,
4,
4,
2,
4,
4,
3,
2,
3,
3,
3,
3,
3,
5,
5,
2,
4,
2,
2,
4,
4,
5,
3,
3,
4,
4,
4,
4,
3,
5,
4,
4,
3,
1,
4,
4,
5,
4,
3,
2,
2,
2,
2,
2,
2,
3,
3,
4,
5,
4,
4,
4,
5,
3,
4,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
6,
4,
3,
3,
6,
4,
3,
3,
3,
3,
2,
3,
4,
4,
3,
4,
3,
3,
4,
4,
4,
1,
4,
2,
4,
2,
2,
6,
2,
4,
2,
3,
2,
7,
3,
3,
3,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
5,
4,
2,
4,
2,
2,
2,
3,
4,
5,
3,
2,
2,
3,
2,
3,
3,
5,
5,
7,
3,
2,
3,
3,
3,
2,
3,
3,
3,
4,
4,
3,
3,
3,
3,
4,
2,
2,
3,
3,
6,
3,
2,
2,
3,
1,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
3,
4,
4,
3,
3,
4,
4,
4,
3,
2,
2,
2,
3,
2,
4,
2,
2,
2,
4,
4,
2,
4,
3,
4,
2,
3,
2,
2,
2,
3,
3,
2,
4,
3,
4,
4,
2,
2,
4,
4,
2,
5,
4,
3,
4,
4,
4,
5,
4,
4,
4,
4,
4,
3,
5,
4,
2,
4,
4,
4,
3,
4,
4,
2,
2,
3,
4,
2,
2,
4,
4,
4,
4,
4,
3,
4,
4,
3,
3,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
6,
4,
3,
4,
2,
3,
4,
5,
2,
2,
3,
2,
3,
3,
3,
3,
4,
3,
3,
2,
1,
2,
3,
2,
2,
2,
4,
3,
3,
2,
4,
3,
2,
3,
5,
3,
3,
3,
5,
4,
2,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
6,
2,
2,
4,
3,
4,
3,
4,
4,
4,
5,
2,
2,
2,
2,
4,
4,
4,
2,
2,
5,
5,
2,
4,
4,
4,
4,
6,
3,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
1,
1,
1,
1,
3,
3,
4,
4,
4,
4,
5,
4,
2,
3,
2,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
3,
3,
4,
4,
4,
4,
4,
2,
1,
2,
4,
4,
4,
4,
2,
4,
2,
2,
3,
2,
4,
4,
2,
4,
4,
3,
3,
2,
2,
2,
2,
3,
2,
4,
5,
3,
4,
4,
4,
4,
3,
4,
2,
4,
1,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
4,
2,
2,
4,
4,
1,
3,
2,
5,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
2,
2,
3,
2,
2,
2,
3,
3,
2,
3,
4,
3,
4,
2,
4,
4,
5,
3,
4,
4,
4,
5,
5,
2,
3,
3,
5,
2,
2,
3,
3,
4,
6,
4,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
4,
3,
4,
2,
3,
4,
3,
2,
3,
2,
2,
2,
3,
2,
4,
2,
2,
4,
3,
3,
2,
2,
2,
4,
3,
3,
2,
3,
4,
3,
3,
3,
4,
4,
4,
5,
4,
4,
3,
2,
2,
4,
4,
3,
4,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
4,
4,
4,
2,
2,
6,
3,
3,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
3,
3,
4,
3,
4,
4,
2,
3,
4,
4,
5,
3,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
4,
4,
2,
3,
4,
3,
7,
4,
5,
3,
3,
3,
3,
3,
2,
2,
1,
4,
4,
4,
3,
4,
2,
2,
3,
2,
2,
4,
3,
2,
1,
2,
3,
5,
3,
2,
3,
2,
3,
5,
5,
3,
5,
4,
2,
5,
4,
5,
4,
2,
3,
3,
2,
4,
3,
2,
3,
2,
3,
3,
3,
3,
2,
3,
4,
3,
2,
2,
3,
4,
2,
4,
2,
2,
4,
5,
4,
2,
4,
2,
4,
3,
3,
4,
2,
4,
4,
2,
2,
4,
4,
3,
3,
2,
2,
4,
3,
4,
4,
3,
4,
4,
2,
2,
3,
2,
7,
4,
4,
4,
2,
5,
5,
2,
6,
2,
3,
5,
3,
4,
4,
5,
3,
2,
2,
5,
3,
3,
4,
2,
4,
6,
3,
3,
2,
3,
3,
3,
3,
3,
4,
2,
2,
2,
3,
1,
3,
2,
3,
2,
3,
4,
3,
3,
6,
4,
4,
2,
4,
2,
4,
4,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
1,
4,
4,
5,
4,
3,
4,
4,
4,
3,
3,
3,
1,
1,
2,
4,
3,
4,
4,
3,
3,
3,
4,
1,
2,
3,
1,
2,
2,
2,
4,
4,
4,
3,
2,
3,
3,
4,
2,
2,
2,
3,
3,
3,
3,
2,
2,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
5,
2,
2,
4,
1,
2,
3,
2,
2,
4,
4,
2,
2,
2,
3,
5,
2,
3,
2,
2,
4,
3,
3,
5,
2,
2,
4,
4,
4,
4,
4,
3,
3,
1,
4,
2,
2,
2,
2,
2,
3,
5,
5,
3,
4,
4,
4,
4,
2,
5,
5,
1,
2,
3,
4,
4,
3,
4,
7,
4,
4,
3,
3,
2,
2,
3,
3,
3,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
2,
3,
4,
3,
3,
3,
3,
2,
4,
7,
4,
4,
4,
5,
4,
2,
5,
5,
3,
7,
7,
4,
6,
6,
4,
4,
2,
4,
2,
2,
2,
4,
2,
2,
2,
2,
3,
5,
3,
4,
2,
2,
2,
4,
4,
2,
6,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
4,
3,
4,
1,
4,
3,
2,
3,
3,
5,
5,
3,
5,
4,
4,
4,
3,
3,
3,
5,
3,
3,
3,
1,
3,
2,
2,
2,
5,
2,
4,
2,
2,
4,
2,
2,
4,
4,
2,
2,
4,
2,
4,
4,
3,
2,
3,
3,
2,
2,
2,
2,
6,
4,
3,
2,
2,
2,
3,
3,
2,
5,
3,
2,
4,
4,
2,
4,
2,
3,
4,
6,
4,
4,
4,
3,
4,
4,
3,
3,
3,
6,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
4,
2,
4,
4,
5,
3,
3,
8,
5,
4,
4,
5,
2,
3,
4,
2,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
5,
5,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
6,
7,
2,
2,
5,
3,
2,
2,
5,
5,
6,
5,
5,
3,
5,
5,
3,
4,
2,
4,
4,
5,
4,
4,
4,
4,
2,
2,
4,
2,
4,
4,
3,
3,
3,
4,
3,
4,
2,
3,
3,
2,
3,
3,
10,
4,
6,
4,
3,
3,
3,
6,
2,
3,
4,
4,
2,
4,
5,
4,
4,
4,
5,
4,
2,
4,
4,
3,
2,
2,
4,
2,
2,
2,
4,
2,
3,
2,
4,
3,
6,
4,
3,
3,
3,
3,
3,
4,
4,
3,
4,
2,
3,
3,
4,
3,
3,
6,
1,
3,
4,
4,
2,
4,
4,
3,
5,
5,
3,
4,
2,
2,
2,
2,
5,
4,
4,
2,
4,
4,
2,
2,
4,
2,
3,
1,
2,
1,
1,
2,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
2,
2,
2,
4,
4,
3,
3,
2,
2,
2,
5,
7,
4,
5,
3,
2,
2,
2,
4,
3,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
2,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
2,
2,
2,
3,
3,
3,
4,
3,
2,
2,
4,
2,
6,
2,
2,
2,
1,
2,
3,
4,
4,
5,
2,
3,
3,
4,
3,
3,
3,
5,
3,
2,
2,
3,
2,
5,
2,
2,
4,
2,
2,
3,
4,
2,
3,
3,
4,
3,
2,
5,
1,
3,
4,
2,
5,
4,
2,
7,
2,
4,
4,
2,
4,
4,
2,
2,
2,
4,
4,
5,
2,
2,
1,
2,
3,
2,
2,
2,
2,
2,
2,
1,
4,
1,
3,
2,
4,
4,
2,
7,
2,
3,
2,
4,
5,
3,
4,
2,
3,
2,
2,
3,
3,
3,
4,
3,
4,
2,
5,
4,
3,
5,
4,
3,
5,
4,
3,
4,
4,
2,
2,
3,
3,
2,
3,
3,
2,
1,
3,
4,
3,
2,
2,
3,
3,
3,
5,
3,
3,
4,
4,
3,
4,
3,
5,
4,
5,
5,
2,
2,
4,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
5,
4,
2,
3,
4,
2,
4,
4,
3,
3,
2,
4,
8,
2,
2,
5,
3,
2,
3,
2,
5,
3,
5,
2,
6,
7,
6,
5,
3,
3,
6,
4,
4,
5,
5,
4,
3,
2,
3,
3,
5,
7,
4,
4,
4,
4,
6,
3,
3,
3,
3,
2,
3,
2,
4,
4,
2,
2,
4,
6,
2,
4,
4,
2,
3,
2,
4,
5,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
3,
3,
3,
5,
2,
2,
3,
2,
4,
2,
4,
4,
2,
2,
3,
3,
4,
4,
5,
4,
2,
5,
2,
3,
3,
2,
4,
2,
2,
3,
3,
4,
1,
2,
4,
3,
2,
5,
3,
2,
2,
3,
3,
3,
3,
3,
2,
1,
3,
2,
5,
3,
3,
2,
3,
3,
3,
7,
2,
4,
4,
4,
5,
2,
5,
5,
5,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
5,
3,
3,
4,
3,
4,
4,
2,
2,
3,
3,
3,
4,
6,
2,
3,
4,
5,
6,
5,
2,
4,
2,
5,
2,
4,
1,
4,
3,
3,
3,
4,
5,
7,
5,
2,
2,
2,
6,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
5,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
4,
4,
3,
3,
2,
2,
2,
1,
2,
4,
4,
4,
2,
2,
5,
2,
5,
6,
4,
4,
3,
3,
4,
2,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
3,
5,
5,
4,
4,
4,
2,
2,
4,
3,
5,
5,
5,
3,
4,
3,
3,
3,
4,
2,
3,
4,
4,
4,
4,
5,
7,
4,
3,
3,
3,
4,
4,
3,
2,
3,
3,
2,
2,
2,
3,
2,
2,
3,
3,
4,
2,
4,
3,
2,
3,
3,
4,
2,
3,
3,
2,
3,
4,
5,
2,
4,
4,
5,
4,
4,
3,
2,
2,
3,
3,
3,
3,
3,
2,
5,
2,
5,
3,
3,
5,
5,
2,
3,
4,
4,
4,
5,
2,
3,
4,
4,
2,
4,
3,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
2,
4,
4,
3,
4,
4,
2,
2,
3,
3,
2,
4,
4,
4,
3,
3,
3,
2,
3,
3,
2,
2,
4,
4,
2,
2,
2,
4,
2,
2,
2,
5,
3,
3,
3,
2,
3,
2,
2,
2,
3,
3,
2,
3,
3,
4,
4,
4,
4,
4,
4,
6,
4,
2,
3,
2,
3,
6,
4,
4,
4,
2,
4,
3,
2,
2,
2,
3,
3,
2,
2,
4,
4,
4,
2,
3,
3,
3,
2,
7,
4,
4,
4,
8,
6,
6,
2,
3,
2,
3,
2,
4,
4,
2,
4,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
4,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
3,
3,
3,
2,
5,
4,
6,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
3,
4,
3,
4,
6,
2,
7,
2,
4,
3,
3,
3,
2,
2,
2,
2,
5,
3,
3,
3,
3,
4,
4,
2,
4,
2,
2,
3,
3,
5,
3,
3,
2,
4,
3,
4,
4,
2,
3,
2,
4,
3,
2,
4,
1,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
7,
2,
3,
4,
2,
4,
4,
4,
4,
2,
3,
4,
4,
4,
5,
5,
2,
3,
3,
3,
2,
6,
2,
3,
3,
3,
2,
5,
5,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
5,
2,
2,
2,
2,
3,
3,
4,
2,
3,
2,
3,
4,
3,
2,
6,
2,
3,
3,
3,
2,
3,
4,
3,
3,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
5,
6,
3,
2,
6,
3,
6,
2,
2,
2,
3,
3,
3,
6,
1,
2,
2,
2,
5,
3,
4,
3,
6,
3,
3,
4,
4,
4,
4,
4,
4,
3,
2,
3,
2,
5,
2,
4,
4,
4,
4,
4,
2,
2,
6,
4,
4,
2,
2,
3,
2,
2,
4,
2,
2,
3,
3,
2,
2,
3,
2,
3,
3,
2,
4,
2,
4,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
2,
3,
4,
3,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
4,
3,
5,
4,
3,
4,
3,
3,
4,
2,
4,
2,
4,
4,
3,
3,
6,
8,
4,
2,
2,
3,
4,
2,
4,
2,
9,
2,
4,
2,
2,
2,
3,
4,
4,
2,
2,
4,
3,
2,
3,
3,
4,
3,
4,
4,
3,
3,
2,
3,
5,
2,
4,
4,
4,
5,
3,
2,
2,
4,
4,
4,
4,
3,
3,
4,
3,
2,
4,
5,
4,
3,
5,
4,
4,
3,
4,
4,
4,
4,
4,
5,
8,
2,
4,
3,
4,
4,
4,
2,
2,
4,
2,
4,
3,
3,
3,
3,
5,
4,
3,
7,
2,
4,
2,
3,
4,
4,
4,
2,
4,
3,
3,
2,
2,
4,
2,
2,
4,
3,
3,
3,
4,
2,
2,
2,
2,
3,
3,
3,
3,
5,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
3,
4,
4,
4,
6,
2,
3,
2,
2,
3,
4,
6,
2,
3,
3,
2,
2,
2,
3,
2,
4,
4,
2,
4,
4,
3,
5,
2,
5,
4,
2,
2,
3,
2,
2,
2,
8,
4,
3,
3,
1,
3,
6,
2,
4,
4,
3,
3,
3,
4,
3,
3,
3,
5,
2,
2,
3,
3,
3,
3,
2,
3,
3,
2,
3,
9,
4,
4,
4,
2,
7,
4,
7,
5,
4,
4,
3,
3,
3,
3,
6,
3,
2,
6,
3,
3,
1,
2,
2,
3,
2,
3,
3,
4,
4,
3,
4,
4,
2,
2,
3,
4,
4,
2,
4,
4,
4,
3,
5,
4,
3,
3,
2,
2,
2,
4,
2,
2,
4,
3,
3,
3,
4,
4,
4,
2,
2,
4,
2,
7,
7,
3,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
2,
2,
2,
1,
2,
2,
1,
3,
3,
3,
3,
2,
2,
3,
2,
2,
6,
4,
2,
4,
2,
2,
2,
2,
2,
4,
2,
4,
3,
3,
4,
4,
4,
3,
2,
4,
4,
3,
6,
6,
3,
2,
3,
1,
3,
3,
3,
4,
3,
5,
2,
2,
4,
4,
4,
3,
2,
2,
4,
4,
3,
2,
2,
3,
5,
2,
2,
3,
2,
2,
2,
2,
5,
6,
2,
3,
2,
5,
1,
3,
1,
1,
1,
1,
1,
3,
7,
3,
3,
5,
3,
3,
2,
4,
3,
3,
4,
2,
4,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
7,
3,
3,
5,
4,
4,
4,
2,
3,
2,
2,
2,
2,
4,
5,
5,
3,
6,
4,
3,
3,
3,
3,
2,
3,
2,
2,
3,
2,
3,
2,
4,
4,
2,
2,
3,
2,
3,
2,
4,
3,
2,
6,
5,
4,
4,
4,
4,
3,
2,
4,
4,
2,
3,
3,
3,
3,
3,
2,
4,
4,
4,
2,
2,
1,
2,
2,
3,
3,
3,
2,
4,
2,
2,
2,
4,
2,
1,
2,
2,
3,
3,
3,
3,
2,
2,
2,
4,
3,
2,
3,
3,
6,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
2,
2,
6,
2,
6,
4,
5,
2,
2,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
4,
3,
5,
4,
4,
5,
4,
3,
4,
5,
4,
3,
2,
2,
2,
2,
3,
4,
2,
4,
2,
3,
3,
3,
3,
4,
2,
2,
2,
4,
3,
5,
2,
4,
3,
4,
5,
2,
4,
4,
2,
2,
2,
4,
4,
4,
3,
2,
2,
2,
2,
3,
3,
4,
4,
2,
3,
3,
4,
4,
4,
4,
6,
2,
2,
9,
2,
6,
4,
4,
4,
4,
2,
3,
3,
3,
3,
4,
4,
3,
2,
3,
3,
4,
4,
4,
2,
2,
4,
3,
3,
3,
3,
4,
1,
2,
4,
4,
3,
4,
3,
2,
3,
4,
3,
2,
2,
2,
3,
2,
3,
3,
2,
1,
3,
3,
2,
3,
3,
3,
4,
4,
4,
2,
3,
2,
3,
5,
1,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
4,
3,
2,
3,
2,
3,
1,
2,
3,
2,
4,
3,
4,
2,
2,
5,
5,
3,
3,
4,
4,
4,
3,
2,
2,
3,
3,
2,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
5,
2,
4,
3,
2,
6,
4,
4,
4,
3,
4,
2,
3,
4,
3,
5,
1,
1,
2,
3,
2,
4,
3,
4,
4,
4,
2,
2,
2,
4,
2,
2,
3,
5,
2,
2,
2,
5,
4,
2,
4,
2,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
4,
5,
2,
2,
2,
2,
4,
6,
3,
2,
3,
2,
4,
4,
2,
2,
4,
4,
2,
4,
3,
3,
3,
4,
2,
3,
3,
3,
4,
5,
5,
2,
3,
3,
2,
5,
3,
4,
4,
4,
2,
4,
3,
4,
2,
4,
3,
6,
3,
3,
3,
3,
3,
2,
3,
3,
4,
8,
3,
3,
4,
2,
3,
3,
2,
4,
4,
2,
2,
4,
4,
2,
3,
2,
3,
2,
2,
2,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
5,
3,
5,
4,
4,
4,
6,
3,
3,
5,
3,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
3,
4,
4,
1,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
4,
3,
4,
4,
2,
3,
3,
2,
3,
4,
2,
5,
3,
5,
4,
4,
3,
2,
4,
4,
4,
4,
4,
3,
2,
2,
2,
3,
4,
6,
3,
5,
4,
2,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
4,
2,
3,
3,
4,
5,
3,
3,
3,
3,
3,
8,
2,
2,
4,
3,
2,
2,
2,
4,
3,
3,
4,
3,
4,
4,
4,
4,
4,
3,
2,
4,
3,
3,
4,
2,
2,
2,
3,
2,
3,
3,
5,
4,
4,
3,
3,
4,
2,
4,
3,
7,
4,
2,
2,
2,
4,
2,
4,
4,
4,
4,
6,
4,
4,
2,
4,
3,
3,
3,
2,
3,
2,
3,
2,
5,
4,
4,
3,
2,
3,
4,
6,
1,
5,
2,
3,
6,
5,
5,
4,
4,
4,
3,
2,
4,
2,
2,
2,
3,
2,
6,
1,
2,
6,
3,
3,
4,
2,
6,
4,
2,
6,
2,
4,
4,
6,
2,
6,
2,
2,
2,
2,
4,
4,
3,
5,
3,
4,
4,
4,
3,
2,
4,
4,
4,
3,
2,
5,
5,
5,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
2,
5,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
3,
2,
4,
4,
5,
4,
3,
3,
3,
4,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
3,
4,
4,
2,
3,
2,
7,
2,
3,
4,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
5,
4,
3,
4,
3,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
3,
3,
4,
2,
3,
4,
4,
4,
4,
5,
4,
2,
4,
4,
4,
2,
2,
2,
3,
2,
3,
5,
4,
4,
5,
4,
3,
3,
2,
3,
4,
2,
2,
2,
2,
3,
4,
4,
4,
8,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
7,
3,
2,
2,
2,
4,
4,
4,
2,
2,
2,
4,
2,
1,
4,
6,
5,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
5,
6,
6,
4,
5,
3,
5,
2,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
4,
4,
1,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
2,
2,
4,
4,
2,
2,
3,
3,
3,
1,
3,
4,
4,
5,
3,
3,
2,
4,
5,
4,
4,
1,
4,
3,
2,
6,
6,
5,
5,
2,
4,
2,
3,
2,
5,
4,
3,
3,
3,
3,
3,
2,
6,
4,
1,
2,
4,
2,
2,
2,
2,
6,
8,
4,
6,
4,
3,
4,
2,
4,
4,
4,
4,
2,
4,
3,
2,
4,
5,
5,
6,
5,
5,
4,
4,
5,
5,
4,
4,
4,
3,
2,
2,
4,
2,
3,
4,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
6,
4,
4,
4,
2,
3,
3,
2,
3,
4,
3,
4,
7,
7,
4,
4,
4,
6,
4,
4,
2,
4,
2,
7,
2,
2,
3,
4,
2,
3,
3,
2,
2,
2,
3,
3,
4,
4,
2,
2,
2,
5,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
6,
4,
6,
3,
5,
2,
5,
2,
1,
2,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
3,
2,
2,
3,
2,
2,
5,
9,
4,
3,
3,
2,
3,
5,
3,
3,
3,
4,
3,
5,
6,
4,
4,
2,
4,
4,
3,
4,
2,
3,
3,
3,
2,
2,
3,
3,
3,
4,
4,
4,
3,
4,
1,
3,
1,
4,
3,
4,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
3,
3,
2,
4,
5,
5,
4,
3,
3,
4,
7,
4,
4,
7,
3,
4,
4,
2,
5,
2,
4,
1,
4,
3,
1,
3,
4,
4,
2,
7,
2,
2,
2,
3,
3,
2,
2,
4,
2,
5,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
5,
2,
3,
4,
3,
3,
2,
3,
3,
3,
4,
3,
4,
4,
3,
3,
4,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
2,
3,
3,
3,
7,
9,
2,
3,
4,
3,
3,
3,
7,
2,
2,
2,
3,
3,
2,
5,
3,
3,
3,
3,
2,
4,
3,
4,
4,
1,
4,
2,
1,
2,
2,
2,
3,
6,
3,
3,
3,
4,
4,
4,
1,
5,
2,
4,
4,
2,
2,
6,
1,
2,
4,
5,
2,
4,
4,
4,
4,
4,
3,
4,
4,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
2,
2,
2,
3,
3,
2,
6,
3,
4,
4,
2,
8,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
3,
3,
3,
3,
6,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
2,
2,
4,
4,
2,
3,
3,
3,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
4,
2,
4,
3,
2,
2,
2,
4,
2,
3,
2,
5,
4,
3,
3,
6,
7,
4,
4,
2,
2,
4,
2,
5,
2,
4,
2,
3,
3,
5,
7,
5,
5,
2,
2,
4,
6,
3,
2,
3,
3,
3,
2,
1,
7,
2,
3,
1,
4,
2,
4,
4,
3,
4,
5,
3,
2,
2,
2,
2,
3,
4,
3,
2,
3,
2,
4,
3,
2,
4,
2,
2,
2,
4,
2,
2,
3,
3,
5,
3,
2,
4,
2,
4,
3,
3,
2,
2,
3,
2,
2,
4,
4,
2,
4,
1,
2,
4,
3,
4,
5,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
2,
4,
3,
4,
2,
3,
3,
1,
5,
2,
4,
4,
4,
3,
4,
3,
3,
3,
4,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
4,
6,
4,
4,
6,
2,
4,
4,
5,
2,
2,
2,
2,
2,
3,
2,
2,
5,
2,
4,
3,
2,
2,
2,
3,
3,
3,
3,
4,
3,
2,
4,
1,
3,
4,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
6,
3,
4,
4,
3,
2,
4,
3,
3,
3,
3,
4,
1,
2,
2,
4,
4,
4,
5,
3,
3,
5,
1,
3,
3,
3,
3,
3,
3,
1,
2,
3,
4,
4,
5,
4,
3,
2,
5,
2,
2,
2,
4,
4,
4,
6,
5,
3,
4,
5,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
3,
4,
4,
5,
3,
4,
4,
3,
1,
2,
2,
2,
2,
2,
2,
5,
4,
4,
3,
3,
2,
2,
4,
2,
2,
2,
2,
1,
3,
2,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
1,
3,
3,
3,
2,
3,
3,
2,
2,
8,
7,
2,
2,
3,
3,
4,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
4,
2,
4,
2,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
3,
2,
3,
2,
2,
3,
3,
4,
4,
4,
3,
4,
3,
2,
4,
3,
3,
3,
4,
4,
4,
4,
5,
3,
3,
4,
2,
2,
2,
3,
4,
4,
4,
4,
5,
2,
4,
6,
4,
4,
3,
3,
6,
5,
4,
4,
4,
1,
4,
2,
2,
5,
5,
4,
3,
3,
2,
3,
3,
3,
2,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
5,
3,
2,
1,
2,
4,
4,
4,
2,
4,
5,
4,
3,
4,
3,
2,
2,
2,
2,
2,
2,
6,
3,
2,
3,
2,
3,
2,
4,
5,
3,
1,
6,
3,
3,
2,
3,
2,
5,
4,
5,
5,
6,
7,
2,
2,
3,
1,
1,
3,
1,
2,
3,
4,
4,
2,
4,
3,
4,
2,
2,
2,
6,
3,
2,
2,
2,
4,
3,
6,
2,
2,
2,
2,
2,
2,
1,
2,
2,
1,
4,
2,
2,
3,
4,
3,
2,
4,
2,
3,
5,
3,
4,
4,
4,
5,
5,
4,
4,
4,
4,
2,
3,
3,
5,
6,
3,
5,
4,
2,
5,
7,
2,
2,
2,
3,
2,
3,
4,
2,
3,
5,
2,
4,
3,
3,
4,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
4,
4,
5,
4,
3,
4,
2,
2,
3,
3,
2,
3,
3,
3,
2,
3,
3,
3,
2,
2,
4,
4,
6,
4,
4,
4,
2,
2,
2,
4,
4,
2,
3,
5,
3,
4,
3,
4,
4,
3,
4,
4,
2,
2,
2,
6,
2,
3,
5,
2,
3,
2,
3,
4,
3,
1,
2,
3,
2,
1,
2,
2,
2,
3,
3,
2,
2,
2,
4,
3,
3,
3,
4,
4,
2,
4,
4,
5,
4,
4,
3,
3,
3,
3,
3,
4,
4,
3,
2,
4,
2,
3,
2,
2,
4,
2,
2,
2,
3,
4,
3,
2,
3,
3,
4,
4,
4,
2,
4,
2,
4,
4,
2,
4,
3,
2,
2,
4,
4,
2,
4,
4,
2,
3,
3,
3,
4,
2,
3,
2,
2,
2,
2,
4,
3,
2,
4,
4,
2,
4,
3,
3,
4,
3,
2,
3,
3,
3,
6,
4,
5,
4,
4,
6,
7,
2,
2,
4,
3,
3,
2,
4,
2,
2,
4,
3,
3,
2,
3,
3,
2,
2,
2,
3,
3,
5,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
3,
4,
2,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
1,
2,
2,
2,
3,
3,
4,
3,
4,
8,
4,
4,
4,
4,
4,
3,
3,
3,
4,
3,
3,
4,
4,
2,
3,
5,
3,
3,
3,
3,
5,
3,
2,
3,
5,
4,
4,
4,
1,
3,
3,
2,
5,
3,
5,
5,
2,
4,
4,
2,
2,
6,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
2,
4,
3,
4,
4,
4,
2,
3,
3,
5,
4,
5,
4,
2,
3,
3,
2,
4,
3,
2,
4,
8,
5,
3,
3,
2,
2,
7,
3,
2,
2,
1,
1,
2,
1,
1,
2,
2,
2,
2,
4,
5,
4,
4,
3,
4,
4,
4,
4,
3,
4,
2,
4,
5,
3,
2,
3,
4,
2,
5,
4,
5,
5,
4,
2,
5,
4,
2,
2,
2,
2,
2,
3,
2,
2,
5,
4,
3,
4,
5,
5,
2,
4,
5,
4,
2,
3,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
3,
3,
4,
2,
2,
3,
3,
4,
3,
3,
3,
3,
2,
3,
4,
2,
3,
4,
3,
4,
5,
4,
6,
3,
3,
3,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
4,
3,
2,
3,
4,
4,
6,
4,
3,
2,
2,
3,
5,
5,
5,
3,
5,
3,
5,
4,
4,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
2,
5,
3,
5,
2,
3,
3,
3,
2,
5,
2,
3,
3,
3,
4,
4,
2,
3,
2,
2,
4,
4,
3,
4,
4,
4,
7,
2,
2,
3,
2,
3,
3,
4,
4,
5,
6,
2,
2,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
2,
4,
3,
7,
2,
4,
3,
2,
2,
2,
2,
4,
2,
1,
3,
4,
4,
4,
3,
5,
2,
2,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
2,
5,
4,
3,
2,
3,
9,
2,
2,
3,
3,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
5,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
4,
3,
5,
4,
4,
5,
4,
3,
2,
2,
2,
4,
2,
4,
4,
2,
3,
3,
3,
4,
5,
2,
5,
3,
3,
4,
6,
2,
3,
3,
2,
3,
3,
2,
3,
7,
2,
2,
3,
4,
2,
2,
3,
3,
6,
3,
4,
6,
4,
4,
6,
2,
3,
3,
3,
4,
3,
2,
3,
3,
4,
4,
4,
4,
3,
3,
4,
4,
2,
4,
3,
4,
3,
5,
2,
2,
2,
2,
7,
6,
3,
3,
2,
3,
4,
2,
2,
4,
4,
4,
4,
4,
4,
2,
5,
3,
2,
4,
4,
2,
4,
3,
3,
5,
6,
2,
3,
4,
8,
5,
5,
4,
6,
5,
5,
4,
4,
4,
4,
3,
3,
3,
3,
4,
2,
3,
1,
2,
4,
3,
3,
4,
1,
4,
3,
3,
2,
2,
3,
2,
3,
2,
2,
4,
3,
5,
3,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
4,
3,
3,
3,
3,
4,
3,
3,
3,
4,
3,
2,
3,
3,
2,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
2,
2,
4,
4,
2,
2,
3,
4,
2,
2,
2,
4,
4,
4,
4,
2,
3,
3,
7,
3,
4,
3,
3,
3,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
2,
1,
4,
5,
4,
4,
3,
3,
2,
4,
5,
4,
4,
4,
3,
3,
2,
3,
3,
3,
4,
4,
4,
2,
6,
4,
4,
4,
4,
4,
3,
2,
2,
3,
2,
2,
5,
2,
3,
2,
2,
3,
3,
3,
1,
5,
5,
4,
3,
2,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
2,
4,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
3,
3,
3,
3,
3,
1,
3,
3,
2,
2,
2,
4,
2,
3,
2,
1,
2,
4,
4,
3,
2,
3,
6,
4,
4,
2,
3,
3,
1,
4,
3,
3,
3,
1,
3,
3,
3,
2,
4,
3,
3,
2,
4,
4,
4,
2,
3,
3,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
5,
4,
3,
3,
4,
3,
6,
3,
4,
2,
3,
3,
4,
3,
4,
5,
4,
4,
2,
4,
2,
5,
3,
4,
3,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
5,
5,
4,
2,
4,
1,
3,
2,
3,
3,
4,
3,
5,
3,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
7,
2,
4,
4,
4,
2,
3,
2,
2,
3,
4,
2,
4,
4,
3,
5,
5,
5,
3,
2,
2,
3,
7,
5,
6,
6,
4,
4,
5,
4,
3,
4,
2,
4,
4,
7,
4,
7,
7,
4,
2,
4,
3,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
3,
5,
4,
4,
4,
2,
2,
2,
3,
4,
4,
4,
3,
4,
4,
4,
4,
3,
3,
2,
3,
6,
3,
4,
3,
3,
3,
3,
4,
4,
4,
2,
2,
3,
3,
2,
2,
2,
2,
1,
2,
2,
2,
4,
3,
4,
2,
2,
4,
4,
4,
4,
4,
3,
2,
2,
5,
2,
3,
4,
3,
6,
4,
3,
3,
3,
3,
2,
3,
2,
3,
2,
1,
2,
3,
3,
3,
2,
3,
4,
2,
4,
3,
2,
2,
4,
2,
3,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
5,
4,
2,
3,
2,
2,
5,
2,
2,
4,
4,
4,
4,
3,
2,
4,
2,
2,
4,
3,
5,
3,
2,
3,
4,
5,
3,
3,
3,
4,
2,
4,
4,
4,
4,
2,
4,
3,
5,
4,
3,
6,
6,
4,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
5,
2,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
2,
5,
3,
3,
2,
4,
3,
4,
4,
4,
4,
2,
3,
4,
4,
4,
3,
4,
3,
4,
4,
2,
3,
2,
2,
2,
2,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
2,
3,
4,
2,
4,
4,
2,
3,
5,
2,
2,
2,
5,
2,
2,
6,
3,
3,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
3,
4,
4,
2,
2,
3,
3,
2,
2,
2,
3,
4,
4,
2,
5,
4,
3,
4,
3,
1,
2,
3,
3,
2,
6,
4,
4,
4,
3,
4,
2,
4,
4,
4,
3,
4,
4,
2,
2,
3,
2,
4,
2,
3,
4,
2,
3,
2,
2,
2,
1,
2,
3,
3,
2,
3,
4,
4,
4,
5,
4,
2,
3,
3,
2,
4,
7,
4,
4,
2,
4,
2,
2,
5,
4,
4,
3,
4,
2,
2,
2,
2,
4,
3,
3,
4,
3,
4,
3,
2,
3,
2,
2,
2,
2,
4,
3,
6,
4,
4,
3,
3,
4,
4,
4,
5,
5,
6,
3,
4,
2,
2,
3,
4,
4,
2,
4,
3,
2,
2,
2,
2,
2,
4,
4,
1,
2,
4,
4,
3,
3,
6,
4,
4,
4,
4,
6,
1,
3,
3,
3,
4,
4,
6,
3,
4,
4,
1,
2,
3,
4,
4,
3,
2,
3,
1,
3,
3,
4,
5,
2,
2,
4,
4,
3,
2,
4,
2,
3,
3,
4,
4,
7,
3,
4,
3,
4,
4,
4,
4,
6,
4,
2,
3,
2,
2,
4,
2,
2,
2,
4,
4,
4,
3,
3,
3,
4,
2,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
3,
4,
4,
5,
3,
4,
2,
6,
6,
6,
6,
7,
4,
4,
4,
5,
4,
3,
2,
5,
2,
3,
4,
3,
4,
6,
3,
2,
5,
4,
2,
3,
4,
3,
4,
2,
4,
4,
3,
2,
5,
2,
1,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
1,
3,
3,
5,
5,
4,
2,
4,
4,
4,
1,
4,
4,
4,
4,
4,
2,
2,
3,
2,
4,
5,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
4,
4,
4,
4,
3,
7,
6,
2,
2,
3,
3,
2,
4,
2,
2,
4,
4,
4,
4,
4,
8,
4,
4,
4,
3,
2,
2,
3,
1,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
4,
3,
4,
6,
3,
4,
3,
4,
1,
3,
3,
3,
4,
2,
2,
2,
2,
4,
5,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
2,
2,
3,
3,
3,
2,
4,
5,
3,
2,
2,
4,
2,
2,
2,
4,
2,
2,
1,
3,
4,
2,
2,
2,
3,
2,
2,
2,
3,
4,
4,
2,
2,
5,
3,
5,
3,
4,
3,
3,
2,
3,
2,
5,
4,
5,
5,
5,
5,
2,
5,
5,
2,
2,
2,
4,
2,
5,
2,
4,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
3,
5,
2,
3,
4,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
2,
2,
3,
2,
2,
3,
4,
2,
4,
3,
3,
2,
2,
2,
3,
6,
3,
3,
6,
3,
4,
5,
2,
3,
3,
2,
4,
6,
3,
3,
3,
3,
3,
4,
4,
3,
2,
2,
3,
2,
3,
3,
4,
2,
2,
4,
4,
2,
2,
2,
2,
3,
3,
4,
2,
4,
3,
5,
3,
4,
4,
4,
5,
6,
2,
3,
6,
3,
3,
3,
4,
3,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
5,
3,
2,
4,
4,
6,
4,
4,
6,
6,
6,
3,
3,
3,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
5,
4,
4,
3,
2,
5,
3,
5,
3,
4,
4,
3,
2,
3,
3,
4,
3,
6,
2,
4,
2,
2,
6,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
6,
3,
4,
4,
2,
3,
3,
3,
2,
6,
4,
4,
4,
5,
3,
3,
3,
3,
3,
3,
3,
3,
4,
1,
2,
4,
4,
2,
3,
2,
4,
5,
3,
3,
2,
3,
3,
3,
2,
4,
3,
3,
3,
4,
4,
3,
3,
5,
2,
3,
2,
4,
3,
4,
2,
3,
4,
4,
4,
2,
2,
4,
4,
2,
4,
3,
4,
3,
4,
2,
2,
3,
3,
4,
3,
3,
2,
3,
3,
2,
2,
4,
2,
3,
3,
5,
5,
3,
3,
3,
3,
2,
5,
2,
2,
4,
5,
2,
5,
4,
5,
6,
3,
3,
2,
3,
3,
4,
4,
4,
2,
3,
4,
4,
4,
2,
3,
3,
2,
2,
4,
4,
4,
8,
3,
4,
4,
4,
2,
4,
5,
4,
4,
3,
2,
3,
4,
3,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
5,
2,
5,
4,
3,
4,
5,
5,
4,
4,
4,
6,
6,
4,
6,
2,
3,
4,
4,
5,
5,
2,
5,
2,
5,
2,
3,
3,
4,
4,
3,
2,
2,
4,
6,
2,
3,
2,
5,
2,
4,
2,
2,
2,
4,
2,
4,
4,
4,
4,
2,
4,
4,
4,
5,
4,
4,
4,
3,
2,
4,
3,
3,
6,
6,
4,
4,
4,
4,
4,
4,
5,
6,
4,
2,
2,
2,
2,
7,
2,
2,
2,
4,
6,
2,
1,
2,
2,
2,
3,
2,
2,
4,
6,
3,
4,
3,
3,
1,
5,
4,
4,
4,
3,
2,
4,
4,
4,
2,
4,
4,
2,
3,
3,
3,
6,
6,
5,
6,
3,
2,
5,
2,
3,
9,
5,
2,
4,
6,
4,
4,
4,
3,
4,
3,
3,
2,
4,
2,
2,
2,
3,
3,
3,
4,
2,
3,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
4,
4,
4,
2,
2,
4,
6,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
5,
3,
4,
2,
2,
4,
4,
2,
2,
2,
3,
2,
4,
2,
3,
4,
3,
2,
2,
4,
2,
2,
4,
6,
5,
4,
4,
1,
4,
2,
2,
3,
4,
2,
4,
4,
2,
3,
2,
1,
2,
10,
10,
3,
3,
4,
2,
5,
3,
4,
4,
4,
4,
4,
2,
6,
6,
2,
2,
2,
2,
1,
1,
4,
4,
3,
3,
3,
7,
2,
4,
4,
3,
7,
2,
2,
2,
6,
2,
2,
4,
4,
4,
2,
2,
2,
2,
3,
2,
3,
2,
4,
4,
5,
4,
6,
7,
2,
2,
4,
3,
6,
3,
3,
3,
7,
3,
3,
4,
4,
4,
2,
4,
4,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
3,
2,
2,
2,
3,
3,
4,
3,
3,
2,
4,
4,
3,
3,
4,
2,
4,
6,
4,
4,
4,
4,
2,
3,
2,
2,
2,
4,
2,
2,
4,
2,
2,
2,
4,
2,
4,
4,
4,
1,
6,
5,
4,
2,
3,
3,
6,
6,
4,
3,
4,
5,
2,
4,
4,
4,
4,
4,
5,
4,
3,
3,
4,
3,
3,
4,
2,
4,
3,
2,
3,
3,
3,
3,
7,
3,
3,
3,
6,
6,
5,
2,
2,
3,
3,
2,
4,
4,
4,
3,
6,
2,
3,
4,
3,
4,
3,
4,
4,
3,
2,
4,
4,
4,
4,
2,
5,
2,
2,
4,
5,
6,
4,
4,
3,
2,
2,
3,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
3,
3,
3,
3,
3,
7,
2,
2,
1,
1,
3,
4,
2,
3,
2,
3,
3,
3,
2,
2,
3,
9,
2,
3,
3,
2,
3,
4,
2,
2,
4,
4,
2,
4,
2,
4,
2,
4,
2,
2,
3,
3,
2,
2,
2,
3,
4,
4,
4,
1,
2,
2,
2,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
2,
2,
1,
6,
7,
4,
6,
3,
3,
3,
2,
2,
4,
3,
4,
2,
2,
2,
5,
6,
5,
2,
6,
2,
2,
3,
4,
3,
2,
3,
2,
2,
5,
1,
2,
2,
3,
1,
2,
2,
2,
3,
2,
3,
7,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
1,
2,
3,
3,
4,
3,
3,
3,
3,
3,
4,
2,
2,
2,
3,
3,
4,
2,
6,
3,
3,
2,
2,
2,
4,
4,
4,
3,
2,
4,
2,
2,
2,
3,
2,
2,
3,
4,
3,
3,
5,
4,
2,
2,
2,
4,
2,
2,
3,
2,
2,
4,
4,
4,
2,
4,
3,
3,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
6,
6,
2,
3,
5,
2,
1,
4,
4,
4,
4,
3,
3,
4,
4,
4,
4,
2,
4,
4,
2,
2,
3,
4,
2,
4,
4,
3,
4,
4,
3,
4,
2,
2,
2,
1,
2,
2,
4,
4,
4,
8,
3,
4,
4,
2,
4,
2,
2,
3,
2,
3,
3,
3,
2,
3,
2,
4,
2,
5,
3,
3,
2,
4,
2,
5,
5,
3,
2,
2,
2,
5,
2,
4,
6,
2,
3,
3,
2,
7,
4,
4,
4,
4,
2,
2,
2,
1,
2,
4,
4,
4,
4,
4,
4,
6,
4,
2,
2,
2,
2,
2,
6,
2,
5,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
1,
1,
1,
3,
4,
2,
3,
3,
2,
3,
3,
2,
3,
4,
2,
2,
2,
3,
3,
4,
4,
4,
4,
3,
3,
3,
1,
3,
3,
3,
4,
1,
2,
2,
2,
4,
4,
1,
4,
5,
5,
2,
3,
2,
4,
3,
2,
2,
2,
2,
4,
2,
2,
2,
3,
4,
3,
4,
4,
3,
1,
3,
4,
2,
2,
5,
4,
2,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
7,
4,
2,
2,
3,
2,
4,
2,
2,
3,
3,
2,
4,
5,
2,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
2,
4,
4,
2,
4,
2,
2,
4,
4,
4,
4,
3,
2,
3,
2,
3,
2,
2,
3,
2,
2,
4,
5,
3,
2,
3,
2,
2,
2,
3,
2,
2,
3,
3,
2,
6,
2,
3,
1,
3,
4,
4,
2,
3,
3,
4,
2,
4,
2,
2,
3,
3,
2,
3,
4,
3,
3,
3,
5,
3,
3,
3,
4,
4,
3,
2,
1,
2,
2,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
2,
4,
2,
5,
5,
2,
2,
3,
4,
4,
2,
2,
5,
4,
4,
4,
4,
2,
1,
4,
3,
5,
4,
3,
3,
4,
5,
4,
3,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
4,
2,
4,
3,
3,
3,
4,
4,
2,
1,
2,
7,
5,
2,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
2,
2,
2,
2,
5,
5,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
3,
3,
3,
5,
3,
2,
2,
2,
4,
4,
4,
4,
3,
2,
2,
2,
2,
4,
2,
2,
2,
4,
2,
4,
3,
4,
2,
5,
4,
6,
4,
4,
2,
3,
2,
2,
2,
2,
4,
6,
2,
4,
3,
4,
3,
4,
3,
4,
2,
2,
2,
2,
3,
10,
1,
1,
6,
6,
4,
4,
2,
4,
2,
2,
4,
4,
4,
4,
4,
5,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
3,
3,
5,
4,
4,
4,
3,
2,
3,
4,
4,
2,
2,
3,
3,
3,
3,
4,
3,
3,
4,
4,
4,
7,
4,
4,
4,
2,
2,
4,
4,
4,
4,
6,
4,
2,
6,
3,
3,
2,
6,
5,
2,
2,
6,
4,
4,
3,
4,
4,
4,
4,
4,
3,
2,
3,
2,
4,
3,
7,
3,
4,
2,
4,
3,
4,
3,
3,
6,
7,
5,
3,
2,
2,
5,
3,
3,
2,
2,
5,
3,
3,
3,
5,
5,
3,
6,
3,
6,
2,
4,
3,
2,
2,
3,
4,
4,
5,
4,
3,
3,
3,
1,
4,
2,
2,
4,
4,
2,
4,
3,
3,
5,
2,
4,
3,
2,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
3,
3,
4,
4,
4,
2,
4,
2,
3,
3,
3,
3,
3,
3,
4,
7,
2,
4,
3,
1,
6,
3,
5,
4,
2,
3,
2,
2,
4,
3,
2,
6,
2,
2,
2,
3,
2,
6,
2,
6,
2,
2,
3,
2,
2,
5,
5,
5,
7,
5,
3,
3,
3,
4,
2,
4,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
2,
2,
3,
2,
6,
6,
2,
2,
2,
2,
2,
4,
2,
3,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
2,
2,
5,
3,
2,
5,
3,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
3,
3,
4,
2,
3,
4,
5,
2,
2,
4,
9,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
5,
3,
2,
2,
7,
2,
2,
2,
3,
3,
2,
3,
2,
2,
2,
2,
4,
3,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
4,
4,
2,
3,
4,
4,
4,
3,
2,
3,
3,
2,
4,
4,
4,
4,
2,
2,
4,
1,
3,
2,
2,
2,
3,
3,
7,
4,
2,
2,
4,
2,
3,
3,
2,
4,
4,
4,
4,
5,
4,
4,
4,
2,
5,
3,
3,
4,
3,
2,
5,
4,
3,
3,
3,
2,
4,
3,
3,
5,
7,
4,
4,
2,
6,
4,
4,
4,
3,
3,
3,
4,
3,
3,
2,
3,
4,
4,
4,
2,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
4,
4,
4,
3,
2,
3,
3,
2,
3,
3,
2,
3,
2,
2,
3,
2,
4,
2,
4,
4,
2,
2,
7,
3,
3,
2,
2,
4,
4,
4,
5,
3,
5,
4,
4,
2,
3,
2,
2,
4,
4,
3,
4,
3,
6,
2,
6,
4,
3,
4,
2,
4,
4,
5,
2,
2,
5,
2,
3,
3,
3,
2,
4,
2,
4,
2,
4,
4,
5,
2,
2,
2,
3,
4,
3,
4,
4,
3,
3,
3,
5,
4,
5,
5,
3,
4,
4,
4,
4,
4,
4,
4,
5,
3,
2,
5,
3,
2,
2,
2,
2,
4,
3,
2,
1,
1,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
4,
3,
3,
3,
3,
3,
2,
2,
3,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
6,
5,
6,
6,
3,
5,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
3,
1,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
2,
3,
5,
4,
3,
3,
4,
4,
4,
2,
4,
2,
3,
3,
3,
3,
2,
3,
3,
4,
2,
3,
4,
4,
2,
4,
3,
3,
4,
5,
3,
2,
2,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
5,
2,
3,
3,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
3,
2,
4,
3,
4,
2,
2,
5,
3,
2,
2,
6,
6,
3,
2,
6,
3,
3,
4,
4,
2,
2,
2,
2,
3,
2,
4,
2,
2,
3,
2,
3,
2,
2,
2,
2,
4,
2,
4,
3,
4,
4,
2,
2,
4,
4,
3,
4,
4,
5,
5,
4,
3,
5,
3,
2,
4,
2,
3,
3,
4,
1,
4,
3,
4,
3,
3,
4,
3,
6,
4,
4,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
3,
3,
9,
7,
4,
2,
4,
2,
4,
2,
4,
4,
4,
3,
2,
4,
4,
5,
4,
1,
5,
3,
3,
3,
2,
3,
2,
6,
3,
1,
3,
2,
2,
3,
3,
3,
2,
3,
3,
2,
3,
4,
3,
2,
4,
2,
4,
4,
3,
4,
4,
6,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
5,
2,
2,
2,
5,
2,
2,
1,
3,
2,
3,
3,
3,
3,
3,
4,
4,
4,
5,
5,
2,
6,
7,
4,
3,
2,
2,
2,
1,
2,
3,
2,
2,
2,
3,
2,
2,
3,
1,
2,
4,
3,
4,
2,
4,
4,
2,
2,
6,
2,
2,
3,
3,
2,
8,
4,
4,
4,
4,
2,
2,
4,
4,
2,
2,
4,
2,
2,
4,
2,
4,
4,
4,
4,
3,
4,
3,
3,
3,
2,
4,
5,
2,
3,
3,
5,
4,
2,
4,
2,
4,
4,
3,
4,
4,
3,
5,
6,
3,
4,
4,
3,
4,
2,
3,
4,
3,
3,
4,
3,
5,
4,
3,
2,
2,
4,
2,
2,
4,
4,
4,
2,
2,
2,
2,
4,
4,
3,
6,
4,
4,
4,
4,
3,
3,
3,
3,
2,
4,
2,
5,
2,
1,
3,
4,
4,
4,
5,
4,
2,
3,
3,
2,
2,
5,
3,
2,
6,
4,
4,
6,
4,
4,
4,
5,
5,
2,
2,
1,
3,
2,
4,
3,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
5,
5,
2,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
5,
4,
4,
2,
5,
4,
4,
4,
1,
2,
2,
4,
5,
3,
3,
3,
2,
3,
3,
2,
3,
3,
4,
8,
4,
2,
2,
4,
2,
5,
5,
5,
5,
5,
5,
4,
5,
2,
2,
3,
3,
3,
5,
2,
2,
2,
4,
4,
4,
3,
4,
2,
4,
4,
4,
3,
2,
3,
4,
2,
2,
3,
3,
2,
2,
2,
4,
4,
2,
2,
2,
4,
6,
2,
4,
3,
4,
3,
3,
4,
4,
2,
5,
5,
5,
5,
5,
2,
2,
4,
4,
2,
1,
4,
2,
2,
2,
2,
4,
3,
4,
4,
5,
3,
3,
2,
2,
1,
2,
1,
2,
6,
5,
3,
3,
1,
4,
2,
4,
2,
2,
2,
2,
3,
5,
3,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
3,
4,
4,
3,
3,
2,
2,
3,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
3,
2,
3,
3,
6,
4,
2,
2,
2,
4,
2,
4,
3,
4,
3,
3,
4,
3,
4,
3,
5,
5,
4,
3,
3,
6,
4,
2,
3,
2,
2,
4,
5,
2,
7,
3,
5,
2,
2,
2,
2,
2,
4,
3,
4,
2,
4,
2,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
3,
2,
4,
7,
4,
5,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
2,
4,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
2,
3,
2,
2,
2,
2,
5,
5,
5,
4,
4,
3,
3,
5,
3,
2,
3,
3,
5,
2,
4,
2,
3,
3,
4,
2,
4,
4,
4,
2,
4,
2,
5,
4,
4,
3,
2,
3,
2,
3,
1,
1,
2,
2,
2,
4,
4,
4,
4,
5,
2,
4,
5,
4,
2,
2,
2,
2,
4,
2,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
4,
2,
2,
5,
2,
4,
2,
4,
2,
4,
4,
3,
3,
4,
4,
4,
2,
3,
7,
5,
4,
3,
6,
4,
4,
3,
4,
5,
4,
4,
4,
4,
4,
2,
3,
3,
2,
4,
5,
4,
4,
4,
4,
4,
6,
5,
5,
4,
3,
2,
2,
3,
3,
4,
3,
4,
3,
2,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
2,
4,
6,
4,
3,
4,
3,
4,
2,
3,
2,
4,
4,
3,
3,
4,
4,
4,
2,
8,
5,
2,
2,
2,
2,
2,
2,
5,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
3,
3,
4,
3,
3,
4,
4,
4,
3,
3,
4,
5,
5,
4,
2,
2,
4,
3,
4,
4,
2,
2,
3,
3,
4,
3,
5,
6,
7,
3,
5,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
1,
2,
4,
4,
4,
3,
3,
3,
3,
4,
2,
2,
5,
7,
4,
4,
4,
4,
2,
4,
4,
3,
3,
3,
3,
4,
3,
4,
3,
2,
2,
2,
3,
3,
3,
5,
3,
3,
4,
5,
2,
2,
4,
4,
3,
3,
1,
2,
4,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
1,
4,
3,
3,
3,
3,
4,
5,
2,
4,
1,
1,
4,
3,
4,
2,
4,
2,
3,
4,
2,
4,
4,
3,
2,
2,
3,
4,
4,
4,
4,
5,
5,
5,
4,
2,
3,
3,
3,
4,
4,
5,
2,
2,
4,
4,
4,
5,
4,
4,
2,
2,
3,
3,
4,
4,
3,
7,
5,
4,
2,
2,
4,
5,
4,
3,
5,
2,
3,
4,
6,
4,
4,
5,
2,
5,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
5,
3,
3,
3,
3,
3,
3,
5,
2,
4,
4,
2,
4,
4,
2,
2,
4,
2,
4,
3,
3,
1,
4,
3,
3,
2,
3,
3,
2,
4,
2,
4,
2,
2,
5,
2,
3,
3,
4,
3,
3,
3,
2,
2,
5,
4,
2,
5,
5,
5,
5,
4,
3,
3,
4,
5,
4,
7,
2,
4,
6,
4,
5,
4,
3,
4,
3,
3,
2,
3,
3,
3,
7,
3,
2,
2,
3,
2,
3,
3,
3,
4,
4,
5,
4,
4,
4,
2,
3,
2,
3,
4,
5,
6,
5,
4,
2,
3,
3,
3,
5,
3,
5,
3,
3,
3,
3,
4,
4,
4,
4,
5,
5,
5,
2,
4,
3,
5,
4,
2,
4,
2,
4,
4,
4,
5,
4,
4,
3,
2,
3,
2,
2,
2,
3,
8,
4,
5,
2,
4,
2,
7,
4,
4,
2,
3,
4,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
4,
2,
3,
6,
2,
3,
2,
4,
4,
4,
2,
3,
3,
3,
2,
2,
5,
5,
5,
5,
5,
5,
3,
5,
6,
6,
4,
2,
2,
2,
2,
2,
3,
3,
3,
2,
1,
2,
2,
7,
2,
2,
4,
6,
2,
5,
2,
6,
3,
2,
3,
3,
3,
2,
3,
3,
2,
4,
3,
2,
3,
4,
6,
7,
2,
4,
3,
4,
2,
4,
4,
2,
4,
2,
6,
6,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
3,
2,
1,
4,
3,
3,
3,
3,
3,
3,
5,
3,
3,
2,
4,
3,
2,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
1,
2,
1,
2,
2,
4,
4,
4,
4,
2,
3,
4,
4,
5,
2,
4,
2,
4,
4,
3,
3,
5,
3,
3,
3,
2,
2,
2,
2,
4,
4,
3,
6,
4,
4,
4,
4,
2,
2,
2,
3,
4,
4,
3,
4,
4,
4,
4,
2,
3,
2,
5,
5,
4,
3,
3,
3,
6,
6,
6,
7,
2,
3,
4,
3,
4,
3,
3,
2,
2,
4,
2,
3,
2,
4,
3,
5,
4,
2,
4,
4,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
3,
4,
4,
3,
2,
2,
2,
4,
3,
5,
2,
2,
2,
2,
3,
3,
2,
3,
2,
4,
7,
4,
3,
4,
3,
4,
5,
4,
4,
3,
4,
2,
3,
2,
3,
4,
2,
4,
2,
4,
4,
3,
2,
2,
4,
4,
3,
3,
3,
5,
3,
3,
3,
2,
3,
3,
3,
2,
3,
5,
5,
5,
6,
3,
4,
3,
6,
4,
3,
3,
4,
4,
2,
4,
4,
4,
4,
2,
4,
3,
4,
2,
6,
4,
4,
4,
3,
4,
2,
3,
2,
2,
3,
4,
2,
5,
2,
2,
5,
3,
3,
3,
2,
2,
4,
3,
3,
3,
2,
3,
4,
3,
3,
4,
5,
4,
4,
7,
6,
7,
3,
3,
3,
3,
3,
5,
3,
2,
2,
4,
2,
2,
2,
2,
2,
3,
4,
5,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
5,
5,
5,
3,
4,
4,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
3,
3,
7,
3,
4,
4,
3,
6,
4,
4,
4,
4,
2,
4,
4,
4,
3,
8,
4,
3,
3,
2,
5,
3,
4,
4,
4,
2,
2,
4,
5,
3,
2,
2,
2,
4,
4,
4,
4,
3,
6,
3,
3,
3,
5,
3,
2,
2,
1,
3,
1,
3,
4,
4,
2,
4,
2,
3,
3,
2,
2,
5,
4,
5,
2,
2,
3,
4,
4,
4,
4,
4,
4,
3,
6,
5,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
3,
2,
4,
2,
4,
4,
5,
3,
4,
5,
4,
2,
4,
3,
6,
2,
2,
2,
2,
2,
4,
3,
2,
1,
4,
6,
3,
4,
3,
2,
3,
2,
3,
2,
2,
5,
2,
2,
5,
7,
7,
5,
3,
3,
2,
4,
4,
2,
4,
4,
4,
4,
3,
4,
3,
3,
5,
3,
3,
2,
2,
3,
3,
3,
3,
3,
7,
4,
2,
3,
3,
5,
4,
4,
1,
4,
4,
4,
4,
4,
4,
4,
2,
2,
7,
2,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
4,
5,
3,
3,
3,
3,
3,
3,
1,
1,
4,
5,
4,
3,
3,
4,
4,
4,
4,
3,
4,
4,
4,
2,
5,
7,
2,
4,
2,
4,
4,
5,
4,
3,
4,
4,
7,
3,
4,
2,
3,
2,
3,
3,
3,
4,
2,
4,
2,
6,
3,
3,
2,
2,
3,
4,
3,
3,
2,
3,
2,
2,
2,
3,
2,
4,
2,
4,
4,
5,
3,
5,
2,
5,
4,
4,
5,
4,
3,
5,
5,
2,
1,
3,
3,
3,
3,
3,
2,
3,
2,
2,
4,
2,
3,
3,
3,
2,
6,
3,
2,
2,
2,
4,
2,
3,
2,
1,
2,
5,
4,
3,
5,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
4,
3,
3,
4,
6,
3,
2,
3,
3,
3,
3,
3,
5,
1,
2,
2,
3,
4,
3,
2,
2,
3,
2,
1,
4,
2,
3,
2,
6,
4,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
4,
2,
3,
3,
3,
1,
1,
5,
2,
3,
2,
3,
3,
5,
2,
2,
4,
2,
3,
3,
4,
2,
3,
2,
3,
2,
2,
2,
2,
3,
4,
4,
2,
3,
3,
3,
3,
4,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
4,
4,
4,
3,
4,
6,
5,
5,
3,
4,
5,
4,
4,
4,
4,
4,
4,
4,
4,
2,
5,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
5,
4,
5,
2,
3,
2,
2,
3,
3,
3,
2,
2,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
4,
5,
3,
3,
2,
2,
2,
3,
2,
3,
4,
3,
3,
5,
5,
2,
2,
3,
5,
4,
2,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
2,
5,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
2,
3,
2,
4,
5,
2,
4,
4,
5,
4,
4,
2,
4,
4,
3,
4,
3,
3,
1,
3,
3,
3,
3,
2,
2,
3,
2,
2,
3,
3,
5,
2,
2,
2,
3,
1,
2,
3,
2,
4,
2,
2,
4,
4,
2,
5,
4,
2,
2,
3,
2,
4,
4,
4,
2,
4,
2,
7,
2,
4,
4,
3,
4,
4,
4,
4,
3,
3,
2,
4,
2,
3,
5,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
1,
1,
1,
2,
2,
2,
4,
4,
4,
4,
4,
1,
2,
3,
3,
3,
3,
4,
4,
2,
4,
4,
1,
4,
2,
4,
3,
3,
2,
3,
2,
4,
4,
2,
2,
2,
2,
2,
1,
3,
4,
3,
2,
4,
2,
3,
2,
4,
4,
4,
3,
3,
3,
3,
2,
2,
4,
4,
3,
4,
6,
4,
4,
2,
4,
4,
4,
3,
4,
4,
2,
2,
2,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
5,
1,
4,
4,
3,
4,
3,
2,
3,
3,
4,
2,
4,
2,
4,
6,
3,
6,
6,
4,
2,
4,
4,
4,
3,
4,
4,
2,
4,
5,
6,
4,
5,
4,
4,
4,
2,
2,
3,
1,
1,
1,
1,
4,
2,
2,
2,
3,
2,
4,
4,
4,
3,
2,
2,
4,
3,
3,
3,
2,
3,
3,
4,
3,
3,
2,
3,
3,
3,
3,
5,
3,
3,
3,
5,
6,
5,
4,
4,
4,
6,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
5,
3,
4,
6,
3,
3,
3,
3,
5,
4,
4,
3,
4,
3,
4,
3,
3,
3,
2,
3,
2,
4,
3,
2,
3,
2,
2,
3,
2,
4,
6,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
5,
3,
3,
2,
4,
2,
3,
3,
3,
3,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
6,
5,
2,
5,
3,
3,
3,
3,
4,
5,
2,
5,
5,
5,
7,
5,
3,
3,
3,
2,
2,
2,
2,
2,
2,
5,
4,
2,
4,
4,
3,
5,
8,
5,
4,
3,
3,
4,
2,
4,
4,
3,
5,
4,
2,
5,
3,
5,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
3,
2,
3,
2,
7,
4,
5,
6,
4,
3,
5,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
5,
5,
3,
4,
3,
4,
3,
3,
2,
2,
5,
2,
6,
3,
4,
4,
4,
4,
4,
4,
3,
5,
2,
2,
4,
2,
2,
3,
3,
3,
2,
3,
4,
2,
3,
4,
3,
4,
3,
3,
3,
3,
6,
4,
2,
3,
5,
2,
2,
4,
2,
4,
4,
5,
4,
4,
3,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
5,
4,
4,
4,
4,
4,
4,
5,
2,
5,
2,
3,
4,
3,
3,
3,
4,
4,
2,
3,
4,
4,
3,
3,
3,
4,
3,
4,
4,
2,
5,
2,
2,
2,
4,
3,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
3,
4,
2,
4,
4,
3,
2,
3,
3,
2,
2,
3,
4,
2,
3,
3,
4,
2,
3,
2,
4,
2,
2,
3,
2,
4,
4,
4,
4,
3,
5,
6,
4,
3,
4,
3,
2,
4,
4,
3,
5,
3,
4,
4,
5,
4,
4,
4,
4,
3,
2,
4,
3,
2,
3,
4,
5,
3,
4,
2,
4,
1,
4,
4,
6,
5,
2,
2,
3,
3,
4,
2,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
5,
4,
2,
2,
2,
3,
5,
4,
4,
1,
4,
3,
3,
4,
2,
2,
2,
3,
3,
3,
3,
4,
3,
4,
4,
3,
3,
3,
2,
3,
3,
3,
5,
5,
6,
2,
4,
4,
5,
4,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
7,
2,
4,
4,
4,
4,
4,
1,
3,
3,
3,
4,
3,
4,
4,
4,
3,
4,
4,
5,
4,
4,
2,
4,
4,
3,
4,
2,
2,
5,
3,
5,
2,
5,
7,
5,
5,
3,
4,
2,
4,
1,
2,
3,
3,
2,
3,
3,
4,
2,
3,
3,
4,
4,
2,
4,
2,
3,
5,
3,
3,
4,
6,
2,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
3,
2,
4,
3,
3,
3,
4,
3,
4,
4,
7,
5,
4,
6,
4,
6,
4,
4,
4,
3,
4,
4,
4,
2,
4,
4,
3,
3,
4,
2,
3,
4,
3,
3,
4,
4,
3,
4,
4,
3,
2,
3,
2,
3,
2,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
2,
2,
1,
4,
2,
2,
4,
2,
4,
4,
4,
4,
2,
1,
4,
3,
3,
5,
3,
3,
4,
2,
4,
2,
3,
3,
3,
2,
2,
3,
4,
2,
4,
4,
4,
6,
4,
4,
4,
4,
6,
4,
3,
4,
7,
3,
3,
4,
4,
2,
4,
4,
4,
4,
4,
5,
5,
4,
3,
2,
3,
2,
3,
2,
3,
6,
3,
4,
4,
4,
5,
2,
3,
3,
4,
2,
4,
3,
3,
3,
3,
4,
6,
4,
9,
4,
5,
2,
2,
4,
4,
4,
7,
2,
5,
3,
3,
2,
2,
3,
2,
3,
2,
2,
2,
3,
4,
4,
4,
4,
3,
4,
2,
2,
4,
2,
2,
4,
4,
3,
4,
1,
3,
2,
2,
4,
4,
3,
3,
4,
9,
4,
4,
5,
3,
2,
3,
3,
3,
2,
5,
6,
3,
5,
4,
3,
3,
5,
2,
3,
2,
3,
3,
4,
5,
3,
1,
3,
4,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
3,
2,
3,
4,
3,
3,
3,
3,
4,
2,
3,
2,
4,
2,
2,
5,
5,
3,
5,
5,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
4,
4,
5,
4,
3,
3,
4,
2,
4,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
3,
2,
3,
2,
3,
3,
2,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
6,
2,
4,
3,
3,
3,
3,
3,
5,
4,
6,
3,
4,
6,
2,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
2,
4,
3,
3,
3,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
5,
2,
4,
4,
3,
4,
3,
4,
2,
2,
2,
2,
3,
5,
4,
3,
3,
3,
5,
5,
2,
6,
2,
2,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
5,
5,
3,
3,
3,
4,
4,
8,
2,
4,
2,
2,
2,
5,
6,
5,
3,
2,
3,
5,
4,
4,
4,
2,
4,
5,
2,
4,
4,
2,
3,
3,
2,
1,
3,
5,
4,
3,
2,
2,
5,
2,
2,
2,
4,
4,
3,
5,
4,
4,
4,
2,
2,
3,
4,
3,
5,
3,
4,
3,
4,
2,
2,
4,
4,
6,
4,
2,
4,
3,
4,
4,
2,
3,
3,
2,
4,
3,
2,
2,
2,
5,
3,
3,
4,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
4,
5,
3,
4,
2,
3,
3,
2,
3,
4,
2,
4,
3,
4,
3,
6,
3,
5,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
6,
3,
2,
2,
2,
2,
3,
4,
3,
3,
1,
2,
2,
2,
2,
3,
3,
2,
2,
7,
3,
3,
3,
4,
3,
4,
2,
5,
3,
3,
3,
3,
3,
5,
3,
3,
4,
3,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
2,
5,
4,
3,
2,
2,
4,
6,
3,
7,
4,
4,
5,
5,
4,
3,
4,
4,
2,
4,
2,
2,
4,
2,
2,
2,
4,
2,
2,
4,
2,
4,
3,
4,
3,
2,
4,
2,
6,
4,
4,
4,
4,
4,
2,
2,
2,
5,
5,
2,
4,
3,
4,
4,
4,
4,
4,
2,
2,
4,
3,
3,
2,
4,
5,
4,
4,
2,
4,
4,
5,
3,
3,
3,
2,
4,
2,
2,
1,
2,
1,
3,
4,
3,
2,
4,
3,
3,
2,
3,
1,
2,
4,
2,
3,
3,
2,
3,
4,
3,
4,
4,
4,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
4,
3,
2,
2,
4,
3,
2,
3,
3,
3,
4,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
3,
3,
2,
2,
3,
5,
3,
4,
5,
5,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
2,
5,
3,
3,
2,
4,
2,
2,
4,
4,
4,
3,
2,
4,
4,
1,
2,
2,
4,
4,
2,
4,
4,
4,
4,
5,
4,
2,
2,
2,
4,
2,
4,
2,
2,
3,
4,
2,
2,
7,
3,
3,
2,
3,
2,
3,
2,
4,
3,
3,
3,
2,
4,
4,
5,
4,
5,
5,
4,
2,
3,
3,
4,
4,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
2,
3,
3,
3,
2,
5,
5,
4,
3,
3,
3,
3,
3,
6,
2,
2,
2,
2,
2,
4,
4,
6,
4,
4,
5,
5,
4,
4,
4,
4,
4,
2,
4,
3,
3,
2,
4,
4,
4,
2,
3,
4,
4,
3,
3,
6,
3,
3,
4,
3,
4,
2,
3,
2,
2,
2,
1,
3,
7,
3,
2,
4,
4,
4,
2,
4,
2,
2,
2,
3,
3,
3,
3,
4,
4,
3,
4,
2,
4,
4,
2,
2,
2,
3,
4,
4,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
1,
4,
3,
4,
4,
2,
1,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
4,
4,
3,
8,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
5,
3,
8,
1,
4,
2,
6,
4,
7,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
8,
4,
6,
5,
4,
3,
5,
3,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
4,
2,
2,
4,
2,
4,
4,
4,
3,
4,
3,
4,
3,
3,
3,
3,
4,
4,
2,
3,
4,
3,
3,
1,
2,
2,
1,
2,
4,
3,
2,
9,
3,
2,
3,
1,
2,
4,
3,
3,
3,
2,
2,
2,
4,
3,
3,
2,
2,
1,
3,
3,
3,
3,
3,
4,
2,
2,
4,
3,
2,
2,
3,
3,
3,
3,
4,
2,
4,
3,
3,
3,
2,
4,
4,
3,
4,
4,
4,
3,
2,
4,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
5,
4,
5,
6,
6,
5,
4,
2,
2,
4,
3,
4,
4,
5,
5,
4,
3,
3,
2,
3,
4,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
2,
2,
2,
2,
3,
5,
4,
3,
3,
4,
4,
3,
2,
2,
2,
4,
2,
3,
2,
2,
4,
4,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
5,
2,
2,
3,
2,
2,
2,
2,
2,
2,
6,
3,
3,
2,
3,
2,
3,
2,
2,
4,
3,
3,
2,
1,
4,
5,
1,
5,
4,
2,
5,
5,
3,
3,
4,
4,
4,
4,
3,
2,
3,
4,
3,
2,
2,
2,
2,
2,
3,
5,
3,
4,
4,
4,
3,
4,
3,
3,
4,
3,
2,
2,
2,
5,
3,
3,
3,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
1,
5,
5,
5,
4,
2,
5,
3,
1,
2,
4,
4,
5,
4,
4,
4,
4,
4,
5,
3,
3,
2,
7,
3,
3,
2,
3,
5,
2,
3,
2,
4,
4,
4,
4,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
3,
4,
3,
2,
2,
2,
4,
3,
2,
2,
3,
4,
4,
4,
6,
4,
4,
2,
3,
2,
2,
2,
2,
6,
3,
2,
2,
3,
2,
3,
2,
2,
2,
2,
3,
2,
4,
2,
3,
4,
3,
2,
3,
3,
3,
1,
3,
3,
4,
4,
2,
4,
4,
2,
2,
4,
3,
4,
3,
3,
3,
4,
3,
3,
6,
2,
4,
2,
2,
5,
3,
4,
4,
4,
6,
4,
2,
4,
3,
4,
1,
3,
2,
2,
4,
3,
4,
3,
3,
3,
3,
2,
3,
2,
2,
3,
4,
2,
2,
4,
3,
3,
3,
3,
2,
4,
3,
4,
4,
2,
3,
8,
8,
4,
4,
4,
3,
5,
2,
2,
2,
2,
2,
2,
5,
3,
3,
2,
3,
2,
2,
3,
3,
3,
4,
4,
4,
4,
3,
6,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
4,
4,
5,
5,
5,
4,
4,
2,
2,
2,
2,
4,
2,
4,
4,
2,
4,
2,
5,
2,
2,
4,
4,
4,
3,
3,
3,
3,
1,
3,
4,
3,
4,
4,
4,
4,
2,
2,
4,
3,
6,
2,
2,
2,
4,
4,
3,
4,
4,
4,
3,
2,
2,
3,
4,
3,
3,
3,
3,
3,
4,
2,
2,
3,
3,
4,
4,
4,
2,
6,
2,
3,
5,
2,
2,
2,
3,
5,
3,
3,
6,
4,
3,
3,
1,
4,
4,
4,
2,
2,
4,
4,
2,
2,
5,
3,
4,
4,
2,
2,
2,
4,
3,
2,
3,
3,
3,
5,
3,
4,
2,
4,
3,
4,
3,
4,
2,
3,
4,
2,
3,
2,
4,
4,
3,
4,
4,
2,
4,
4,
5,
4,
4,
5,
6,
3,
3,
3,
2,
3,
2,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
4,
2,
3,
5,
3,
3,
10,
4,
3,
4,
3,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
7,
2,
4,
2,
3,
2,
3,
4,
5,
4,
4,
3,
4,
1,
4,
5,
5,
1,
5,
5,
2,
3,
2,
1,
3,
3,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
4,
2,
4,
4,
5,
2,
3,
2,
2,
3,
3,
2,
4,
2,
2,
3,
5,
6,
5,
4,
2,
2,
4,
3,
3,
3,
3,
3,
3,
2,
6,
3,
3,
5,
3,
4,
3,
2,
2,
2,
3,
2,
2,
4,
3,
3,
3,
5,
3,
4,
4,
3,
2,
2,
2,
3,
3,
2,
5,
6,
4,
4,
5,
5,
2,
2,
2,
2,
4,
4,
3,
4,
4,
3,
3,
3,
2,
2,
2,
4,
2,
3,
3,
4,
2,
4,
4,
3,
2,
3,
2,
2,
4,
1,
4,
3,
3,
3,
3,
4,
2,
2,
4,
3,
2,
2,
2,
3,
3,
4,
6,
5,
4,
4,
5,
3,
4,
2,
4,
3,
3,
4,
4,
5,
2,
2,
2,
7,
2,
2,
1,
1,
2,
2,
8,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
5,
4,
4,
4,
3,
4,
3,
5,
3,
2,
2,
4,
5,
4,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
2,
2,
3,
3,
3,
5,
2,
4,
4,
2,
3,
3,
3,
3,
4,
2,
2,
3,
2,
2,
3,
2,
2,
2,
4,
2,
4,
3,
2,
3,
4,
2,
3,
2,
2,
2,
2,
4,
4,
7,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
2,
4,
3,
3,
2,
2,
3,
2,
3,
3,
2,
2,
2,
2,
4,
3,
2,
5,
2,
4,
3,
3,
3,
4,
4,
8,
6,
4,
2,
2,
3,
3,
3,
3,
2,
6,
5,
8,
4,
4,
4,
2,
4,
2,
1,
4,
4,
2,
4,
4,
4,
4,
4,
2,
2,
4,
5,
4,
5,
4,
3,
4,
4,
4,
4,
3,
4,
2,
3,
2,
2,
4,
3,
2,
3,
3,
2,
2,
4,
2,
3,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
1,
4,
3,
4,
8,
4,
2,
3,
5,
4,
3,
3,
3,
3,
3,
4,
6,
4,
4,
4,
3,
3,
3,
3,
2,
3,
2,
3,
3,
4,
4,
6,
4,
3,
4,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
1,
3,
3,
2,
6,
3,
3,
5,
5,
4,
5,
5,
3,
3,
4,
2,
4,
4,
3,
3,
2,
3,
4,
3,
5,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
4,
2,
4,
1,
3,
4,
3,
3,
5,
3,
3,
2,
2,
3,
2,
3,
3,
2,
6,
5,
5,
4,
4,
3,
3,
3,
4,
4,
5,
7,
3,
2,
2,
3,
2,
4,
4,
2,
4,
4,
4,
2,
4,
3,
4,
4,
4,
2,
3,
4,
2,
2,
2,
4,
2,
2,
4,
2,
2,
4,
2,
4,
3,
3,
4,
5,
3,
4,
4,
3,
4,
5,
3,
3,
4,
4,
2,
3,
5,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
2,
2,
3,
3,
2,
5,
5,
2,
2,
2,
2,
7,
4,
4,
5,
0,
4,
2,
3,
4,
4,
4,
4,
6,
5,
4,
4,
2,
8,
4,
6,
7,
2,
3,
3,
3,
3,
3,
2,
4,
5,
4,
4,
3,
5,
4,
5,
5,
5,
1,
3,
5,
5,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
5,
4,
4,
4,
2,
4,
2,
2,
1,
2,
2,
2,
2,
4,
4,
4,
4,
5,
2,
5,
4,
4,
2,
2,
2,
4,
4,
2,
2,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
3,
3,
6,
3,
5,
3,
4,
3,
7,
4,
2,
4,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
3,
4,
2,
6,
6,
8,
3,
5,
3,
3,
2,
3,
3,
4,
2,
4,
4,
4,
4,
5,
4,
2,
3,
2,
4,
4,
3,
3,
3,
2,
2,
3,
2,
3,
3,
3,
3,
2,
5,
5,
4,
3,
3,
3,
2,
4,
3,
2,
2,
2,
4,
4,
3,
3,
2,
3,
3,
3,
2,
4,
4,
4,
4,
4,
2,
3,
4,
3,
4,
2,
4,
2,
4,
2,
2,
2,
2,
3,
3,
3,
5,
4,
4,
3,
4,
3,
5,
3,
1,
2,
4,
2,
2,
2,
3,
3,
4,
3,
1,
2,
2,
3,
3,
4,
4,
4,
4,
6,
4,
6,
4,
2,
4,
2,
4,
3,
3,
2,
4,
3,
3,
3,
4,
3,
2,
4,
2,
3,
3,
3,
3,
5,
3,
3,
7,
2,
3,
6,
4,
2,
4,
7,
3,
3,
3,
3,
3,
3,
2,
2,
4,
3,
4,
5,
3,
3,
4,
4,
5,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
5,
5,
2,
3,
4,
2,
2,
2,
2,
3,
4,
2,
4,
4,
3,
4,
3,
4,
3,
3,
3,
4,
3,
3,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
5,
2,
3,
1,
2,
2,
1,
2,
2,
3,
2,
2,
2,
3,
3,
4,
2,
3,
2,
3,
6,
3,
2,
3,
4,
2,
2,
2,
3,
3,
5,
4,
4,
4,
3,
3,
8,
4,
4,
4,
4,
3,
4,
4,
4,
3,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
7,
2,
7,
1,
2,
2,
3,
4,
3,
5,
4,
2,
5,
1,
4,
2,
3,
3,
1,
3,
2,
4,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
4,
4,
4,
3,
5,
5,
2,
2,
5,
4,
3,
4,
2,
5,
4,
2,
4,
3,
4,
4,
4,
2,
2,
3,
3,
4,
3,
4,
5,
4,
4,
3,
5,
2,
3,
2,
5,
4,
4,
4,
3,
4,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
5,
2,
4,
4,
3,
2,
2,
4,
3,
4,
2,
4,
2,
2,
3,
3,
3,
3,
4,
3,
3,
2,
4,
4,
4,
4,
1,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
3,
3,
4,
4,
2,
3,
3,
4,
2,
5,
3,
4,
5,
2,
4,
4,
4,
6,
4,
4,
2,
4,
4,
2,
3,
2,
2,
4,
2,
4,
4,
2,
4,
4,
5,
2,
5,
3,
5,
2,
3,
3,
4,
2,
4,
4,
4,
4,
3,
3,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
5,
2,
2,
2,
2,
3,
3,
2,
2,
3,
5,
4,
2,
2,
5,
5,
3,
4,
2,
2,
2,
2,
6,
6,
3,
2,
5,
2,
2,
3,
3,
4,
3,
3,
3,
4,
5,
3,
3,
4,
4,
3,
4,
5,
3,
2,
2,
5,
3,
5,
4,
4,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
4,
3,
2,
2,
4,
4,
4,
4,
5,
2,
3,
3,
2,
3,
4,
4,
4,
4,
4,
5,
5,
3,
4,
4,
1,
4,
3,
3,
4,
3,
3,
3,
2,
3,
5,
5,
5,
3,
2,
4,
4,
4,
4,
4,
4,
4,
5,
3,
3,
4,
2,
3,
3,
3,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
6,
2,
4,
6,
4,
3,
5,
4,
3,
3,
4,
4,
4,
2,
3,
3,
7,
3,
2,
7,
3,
3,
4,
4,
3,
4,
3,
7,
5,
3,
3,
4,
3,
4,
3,
3,
3,
3,
3,
3,
6,
4,
6,
5,
5,
4,
2,
2,
3,
3,
2,
2,
2,
2,
3,
2,
4,
4,
2,
4,
4,
7,
2,
2,
4,
4,
4,
5,
6,
5,
3,
2,
2,
2,
2,
2,
2,
2,
6,
3,
5,
4,
4,
2,
3,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
2,
4,
4,
4,
2,
4,
3,
2,
2,
2,
3,
2,
2,
3,
2,
3,
2,
4,
3,
5,
2,
4,
7,
6,
4,
2,
4,
3,
2,
6,
2,
2,
6,
5,
3,
8,
3,
4,
2,
2,
2,
2,
3,
2,
4,
3,
4,
4,
2,
4,
3,
3,
3,
2,
3,
3,
6,
3,
4,
4,
3,
6,
5,
2,
5,
7,
4,
4,
4,
2,
2,
3,
3,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
2,
2,
4,
2,
4,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
3,
2,
5,
3,
3,
2,
3,
1,
4,
4,
3,
3,
3,
1,
2,
2,
3,
2,
3,
3,
3,
2,
2,
4,
4,
4,
3,
2,
2,
2,
4,
4,
6,
5,
4,
2,
4,
2,
2,
3,
3,
2,
3,
6,
4,
3,
5,
5,
5,
6,
4,
4,
2,
4,
2,
3,
3,
2,
2,
2,
4,
3,
4,
2,
3,
2,
3,
2,
4,
3,
3,
3,
5,
4,
4,
5,
6,
2,
4,
5,
5,
2,
2,
4,
3,
3,
2,
3,
4,
5,
4,
2,
2,
2,
2,
3,
4,
3,
4,
4,
4,
3,
3,
4,
4,
3,
3,
3,
3,
2,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
4,
5,
4,
6,
3,
4,
3,
3,
3,
4,
1,
3,
2,
3,
2,
3,
3,
3,
3,
5,
3,
3,
6,
5,
4,
5,
5,
2,
4,
2,
4,
2,
2,
10,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
3,
3,
2,
4,
2,
4,
3,
4,
3,
2,
3,
3,
3,
3,
3,
2,
3,
4,
2,
3,
2,
3,
2,
4,
2,
4,
4,
4,
4,
5,
3,
2,
3,
6,
4,
4,
4,
3,
4,
4,
3,
4,
3,
3,
4,
2,
2,
3,
2,
4,
3,
3,
2,
4,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
5,
4,
3,
2,
2,
2,
3,
2,
3,
3,
3,
3,
2,
6,
4,
5,
4,
3,
4,
4,
4,
4,
3,
3,
2,
5,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
3,
3,
4,
5,
4,
5,
5,
4,
5,
3,
2,
4,
3,
3,
3,
3,
3,
2,
3,
4,
4,
2,
3,
5,
5,
5,
4,
5,
6,
2,
3,
3,
2,
3,
3,
3,
2,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
3,
4,
2,
3,
4,
6,
4,
2,
4,
3,
4,
4,
3,
3,
3,
3,
4,
2,
3,
2,
5,
3,
4,
3,
4,
3,
6,
4,
2,
3,
6,
3,
2,
3,
5,
4,
4,
3,
3,
3,
2,
3,
3,
3,
2,
3,
4,
2,
4,
4,
2,
2,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
2,
4,
2,
2,
3,
2,
4,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
7,
3,
3,
3,
2,
3,
3,
2,
3,
3,
2,
2,
2,
3,
3,
2,
3,
5,
6,
4,
3,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
1,
2,
3,
3,
2,
3,
4,
4,
2,
4,
4,
3,
4,
2,
2,
3,
5,
5,
4,
3,
5,
3,
3,
5,
5,
2,
2,
3,
4,
3,
3,
3,
4,
4,
3,
4,
3,
3,
4,
3,
2,
2,
2,
4,
3,
2,
2,
2,
5,
4,
2,
4,
3,
3,
3,
3,
4,
5,
4,
5,
4,
4,
3,
5,
4,
8,
5,
2,
2,
5,
6,
6,
5,
5,
5,
6,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
6,
4,
3,
3,
2,
2,
5,
5,
2,
2,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
5,
5,
2,
5,
2,
2,
4,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
4,
3,
3,
2,
2,
2,
3,
3,
2,
4,
2,
2,
4,
6,
2,
3,
2,
2,
6,
4,
2,
5,
2,
2,
6,
2,
2,
3,
3,
4,
4,
3,
4,
6,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
3,
3,
3,
2,
5,
5,
4,
4,
4,
5,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
6,
3,
3,
2,
5,
4,
3,
2,
5,
3,
3,
2,
2,
2,
4,
6,
4,
4,
5,
3,
3,
4,
2,
3,
3,
5,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
3,
3,
4,
3,
2,
3,
3,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
6,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
4,
4,
3,
3,
3,
3,
2,
2,
4,
4,
2,
2,
4,
4,
4,
2,
2,
4,
2,
2,
2,
4,
4,
4,
3,
2,
3,
4,
4,
4,
2,
4,
2,
2,
2,
4,
3,
3,
3,
6,
6,
3,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
5,
2,
5,
5,
2,
3,
4,
5,
4,
4,
3,
4,
4,
4,
6,
4,
4,
3,
2,
2,
4,
4,
7,
4,
2,
4,
4,
2,
4,
2,
4,
3,
5,
5,
7,
2,
5,
4,
3,
3,
3,
4,
2,
4,
4,
5,
5,
4,
2,
2,
2,
1,
2,
2,
2,
2,
2,
2,
4,
6,
6,
6,
6,
5,
3,
2,
2,
2,
2,
4,
3,
2,
2,
4,
4,
4,
4,
3,
2,
2,
2,
4,
4,
4,
3,
4,
3,
3,
2,
2,
3,
2,
4,
4,
5,
3,
3,
3,
5,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
4,
4,
5,
4,
2,
2,
2,
4,
2,
2,
9,
4,
4,
2,
5,
5,
2,
6,
5,
2,
3,
6,
5,
2,
5,
2,
2,
4,
2,
4,
4,
3,
3,
2,
4,
4,
3,
3,
4,
4,
2,
4,
3,
5,
2,
3,
3,
4,
2,
3,
4,
2,
5,
5,
6,
6,
6,
5,
5,
3,
5,
3,
4,
3,
2,
3,
4,
4,
2,
2,
1,
1,
3,
3,
3,
2,
4,
2,
2,
2,
3,
3,
3,
1,
3,
3,
4,
4,
4,
4,
7,
4,
4,
4,
4,
2,
4,
3,
2,
7,
3,
3,
3,
3,
4,
5,
4,
7,
2,
3,
2,
2,
3,
5,
2,
3,
3,
2,
2,
4,
4,
5,
5,
4,
4,
4,
3,
3,
2,
2,
4,
4,
3,
4,
2,
3,
3,
3,
2,
4,
3,
3,
2,
2,
2,
7,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
3,
3,
5,
4,
2,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
1,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
4,
3,
2,
4,
3,
3,
3,
3,
2,
2,
3,
3,
2,
3,
4,
3,
2,
4,
5,
4,
4,
3,
7,
2,
3,
4,
4,
4,
5,
4,
3,
4,
2,
1,
1,
1,
1,
4,
4,
4,
5,
4,
2,
7,
5,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
3,
2,
3,
3,
2,
3,
4,
4,
3,
3,
3,
2,
4,
4,
4,
2,
1,
3,
3,
3,
2,
4,
4,
4,
3,
3,
4,
6,
4,
3,
5,
3,
2,
3,
3,
5,
5,
5,
4,
2,
4,
4,
4,
4,
4,
2,
5,
5,
5,
5,
5,
2,
5,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
4,
3,
3,
2,
6,
3,
7,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
3,
2,
3,
4,
3,
2,
1,
3,
2,
2,
3,
4,
3,
5,
4,
4,
4,
2,
3,
2,
2,
4,
3,
3,
5,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
3,
2,
2,
3,
2,
4,
1,
2,
3,
6,
4,
2,
2,
1,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
2,
5,
4,
5,
4,
2,
4,
4,
3,
3,
8,
4,
6,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
3,
2,
5,
3,
2,
4,
2,
2,
2,
3,
7,
2,
2,
4,
4,
4,
4,
4,
3,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
5,
5,
5,
3,
4,
4,
4,
4,
2,
5,
3,
3,
1,
2,
3,
3,
3,
3,
3,
3,
6,
3,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
5,
2,
2,
2,
3,
2,
4,
3,
4,
2,
2,
2,
6,
4,
4,
4,
2,
4,
4,
3,
2,
3,
2,
3,
1,
4,
3,
1,
3,
2,
2,
3,
3,
2,
4,
3,
2,
2,
2,
3,
6,
3,
3,
4,
4,
4,
3,
2,
8,
4,
4,
9,
4,
4,
4,
4,
4,
3,
2,
3,
2,
3,
3,
2,
2,
2,
2,
5,
3,
4,
2,
2,
3,
3,
3,
3,
7,
3,
3,
2,
5,
3,
3,
5,
2,
4,
3,
4,
5,
2,
4,
2,
4,
4,
4,
2,
4,
4,
3,
3,
2,
2,
2,
3,
4,
4,
5,
4,
2,
4,
4,
5,
6,
4,
4,
3,
2,
3,
2,
4,
4,
3,
3,
5,
8,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
5,
4,
5,
5,
3,
6,
4,
4,
4,
3,
2,
4,
4,
5,
6,
3,
5,
3,
3,
2,
3,
2,
4,
4,
2,
2,
2,
3,
2,
4,
2,
4,
4,
4,
3,
2,
3,
2,
2,
6,
2,
2,
2,
3,
4,
3,
3,
3,
3,
3,
4,
4,
2,
3,
4,
3,
4,
3,
4,
5,
4,
4,
3,
3,
2,
2,
5,
6,
3,
3,
2,
5,
2,
5,
2,
3,
3,
4,
4,
4,
4,
3,
4,
3,
1,
2,
3,
2,
7,
3,
4,
4,
3,
4,
7,
3,
7,
4,
4,
4,
2,
2,
4,
4,
4,
4,
2,
3,
1,
2,
2,
2,
2,
2,
4,
2,
2,
2,
5,
3,
3,
2,
4,
7,
4,
4,
2,
4,
4,
2,
6,
3,
6,
4,
2,
3,
7,
6,
4,
4,
2,
2,
3,
2,
1,
4,
4,
2,
6,
4,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
2,
4,
4,
2,
2,
6,
5,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
2,
3,
4,
4,
4,
4,
3,
4,
3,
4,
3,
5,
3,
2,
4,
3,
3,
4,
5,
4,
4,
4,
5,
5,
5,
3,
4,
4,
2,
3,
3,
3,
2,
2,
5,
2,
2,
2,
4,
2,
3,
6,
3,
2,
2,
3,
2,
2,
4,
2,
4,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
5,
3,
4,
4,
2,
3,
3,
2,
3,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
3,
5,
5,
2,
3,
4,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
2,
2,
3,
3,
4,
2,
7,
5,
4,
3,
3,
2,
4,
3,
4,
3,
3,
3,
4,
3,
3,
4,
3,
5,
4,
4,
2,
4,
3,
4,
3,
4,
2,
5,
4,
4,
3,
2,
1,
2,
2,
4,
4,
2,
2,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
2,
2,
2,
1,
5,
2,
4,
2,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
5,
2,
2,
3,
2,
4,
4,
3,
3,
1,
2,
2,
3,
3,
4,
4,
4,
4,
6,
4,
4,
1,
4,
3,
4,
3,
2,
3,
3,
2,
2,
4,
4,
3,
4,
2,
2,
2,
2,
3,
2,
4,
4,
4,
4,
2,
4,
2,
4,
6,
4,
3,
1,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
4,
4,
4,
2,
2,
2,
4,
3,
3,
4,
3,
4,
4,
4,
3,
3,
2,
3,
3,
2,
2,
6,
4,
2,
6,
4,
5,
4,
2,
4,
1,
3,
2,
3,
3,
4,
5,
5,
4,
4,
2,
6,
4,
3,
4,
4,
4,
3,
4,
7,
4,
4,
5,
4,
2,
2,
4,
3,
2,
3,
2,
2,
3,
4,
2,
2,
2,
4,
2,
3,
3,
2,
3,
2,
3,
5,
3,
4,
3,
3,
3,
2,
5,
2,
2,
2,
2,
3,
3,
4,
4,
4,
5,
3,
3,
4,
4,
1,
3,
4,
4,
4,
2,
4,
2,
5,
7,
6,
5,
3,
5,
4,
4,
4,
2,
4,
4,
3,
4,
5,
6,
1,
3,
2,
3,
5,
2,
3,
3,
5,
5,
2,
2,
2,
2,
4,
4,
4,
4,
5,
5,
4,
5,
6,
5,
6,
3,
2,
3,
8,
7,
4,
3,
3,
4,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
3,
3,
4,
4,
4,
4,
3,
5,
4,
3,
4,
2,
2,
4,
3,
2,
4,
4,
2,
2,
3,
2,
4,
4,
3,
2,
4,
2,
4,
2,
2,
2,
4,
2,
2,
3,
7,
3,
4,
3,
2,
3,
3,
4,
4,
4,
2,
2,
4,
4,
2,
3,
4,
3,
4,
3,
5,
5,
7,
6,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
3,
3,
2,
3,
2,
3,
3,
2,
3,
3,
2,
4,
2,
4,
3,
3,
4,
2,
2,
2,
2,
2,
5,
2,
2,
4,
4,
4,
5,
4,
4,
4,
2,
3,
5,
2,
3,
3,
3,
2,
3,
2,
3,
3,
4,
2,
6,
7,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
3,
2,
4,
4,
2,
3,
2,
2,
2,
4,
5,
5,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
5,
4,
4,
4,
4,
4,
4,
3,
4,
5,
3,
7,
3,
3,
3,
2,
3,
3,
2,
4,
5,
1,
3,
4,
1,
3,
4,
6,
5,
4,
6,
6,
3,
3,
2,
2,
3,
4,
4,
3,
4,
2,
3,
2,
3,
3,
3,
4,
3,
2,
5,
2,
1,
1,
1,
4,
4,
2,
2,
3,
2,
2,
4,
2,
3,
3,
4,
2,
4,
4,
2,
2,
3,
3,
3,
2,
1,
2,
2,
5,
5,
2,
5,
3,
2,
3,
4,
2,
4,
2,
4,
2,
2,
4,
3,
3,
3,
2,
3,
3,
2,
2,
3,
3,
4,
5,
3,
4,
3,
2,
6,
2,
2,
3,
3,
3,
3,
3,
2,
2,
5,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
6,
5,
2,
2,
2,
2,
4,
3,
5,
3,
2,
3,
4,
2,
3,
3,
3,
3,
2,
7,
2,
2,
2,
2,
3,
3,
3,
2,
4,
4,
3,
3,
6,
3,
3,
4,
3,
3,
2,
4,
6,
3,
3,
2,
1,
2,
3,
2,
2,
2,
2,
3,
3,
3,
4,
2,
6,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
2,
2,
2,
4,
4,
4,
6,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
3,
4,
2,
2,
2,
4,
3,
3,
3,
2,
3,
2,
2,
1,
3,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
2,
1,
3,
2,
4,
2,
2,
4,
4,
4,
3,
2,
5,
2,
4,
4,
4,
2,
2,
4,
4,
5,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
6,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
3,
2,
1,
2,
3,
4,
4,
2,
4,
4,
2,
2,
2,
2,
3,
2,
2,
4,
4,
4,
5,
5,
5,
5,
3,
1,
1,
2,
2,
1,
4,
2,
3,
3,
3,
3,
3,
4,
5,
3,
3,
3,
3,
4,
4,
2,
4,
4,
3,
2,
3,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
7,
3,
4,
2,
4,
3,
4,
4,
2,
4,
4,
4,
4,
3,
4,
3,
2,
3,
3,
3,
3,
2,
3,
4,
3,
3,
4,
4,
5,
2,
3,
5,
4,
4,
2,
4,
4,
2,
2,
3,
3,
4,
4,
3,
2,
2,
2,
4,
4,
4,
4,
2,
2,
4,
4,
2,
4,
5,
2,
4,
3,
2,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
2,
5,
3,
3,
4,
3,
2,
5,
5,
5,
8,
2,
4,
4,
4,
2,
4,
4,
3,
3,
2,
4,
5,
4,
4,
2,
5,
4,
2,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
2,
4,
3,
2,
4,
2,
4,
1,
1,
4,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
6,
2,
4,
4,
3,
4,
4,
3,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
5,
2,
4,
3,
4,
3,
3,
3,
4,
4,
2,
2,
3,
3,
4,
3,
3,
3,
3,
5,
3,
3,
4,
4,
4,
3,
3,
5,
2,
6,
2,
2,
5,
6,
5,
4,
3,
5,
8,
1,
2,
1,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
4,
7,
4,
6,
6,
4,
4,
3,
5,
4,
4,
4,
3,
3,
3,
2,
2,
4,
4,
2,
4,
4,
3,
4,
4,
3,
4,
2,
2,
2,
3,
4,
4,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
2,
3,
3,
3,
2,
3,
2,
2,
3,
4,
2,
2,
2,
2,
4,
4,
3,
2,
3,
2,
4,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
2,
3,
3,
2,
4,
3,
2,
2,
2,
4,
8,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
4,
2,
3,
3,
3,
2,
5,
7,
3,
3,
3,
2,
2,
2,
2,
1,
4,
2,
7,
4,
4,
3,
4,
2,
2,
2,
6,
3,
2,
4,
3,
3,
1,
2,
1,
1,
4,
2,
1,
3,
3,
4,
3,
2,
3,
5,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
6,
4,
4,
3,
3,
3,
6,
5,
3,
5,
5,
4,
4,
4,
2,
4,
4,
3,
5,
3,
2,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
2,
2,
5,
4,
4,
4,
5,
4,
5,
3,
3,
4,
7,
4,
5,
5,
3,
3,
3,
3,
5,
4,
3,
3,
3,
3,
3,
3,
5,
4,
4,
4,
4,
4,
4,
5,
2,
4,
2,
2,
4,
3,
2,
2,
2,
4,
5,
3,
4,
2,
4,
4,
2,
2,
4,
4,
3,
2,
4,
2,
3,
3,
4,
4,
4,
3,
4,
4,
3,
2,
2,
4,
6,
3,
4,
4,
4,
4,
4,
2,
2,
4,
2,
4,
4,
2,
2,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
4,
8,
2,
2,
3,
3,
3,
3,
4,
4,
4,
3,
2,
3,
4,
2,
2,
4,
4,
2,
4,
4,
2,
4,
4,
4,
2,
4,
3,
3,
2,
2,
2,
2,
2,
5,
5,
3,
3,
2,
2,
4,
4,
4,
2,
2,
3,
3,
2,
7,
2,
4,
4,
4,
5,
4,
5,
5,
3,
6,
4,
4,
4,
4,
3,
4,
6,
4,
4,
4,
4,
2,
2,
2,
3,
2,
3,
3,
4,
3,
4,
4,
3,
4,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
5,
3,
4,
4,
5,
4,
4,
1,
3,
1,
2,
2,
2,
4,
2,
2,
4,
2,
4,
3,
2,
3,
4,
2,
3,
5,
2,
2,
5,
2,
5,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
3,
3,
3,
7,
4,
2,
3,
4,
2,
4,
2,
3,
2,
4,
4,
2,
2,
2,
2,
1,
2,
3,
2,
2,
2,
3,
2,
2,
4,
4,
2,
2,
2,
5,
5,
4,
5,
5,
4,
3,
4,
3,
3,
3,
3,
2,
2,
5,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
5,
3,
3,
3,
2,
3,
5,
3,
3,
5,
2,
3,
2,
1,
4,
4,
4,
4,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
4,
6,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
4,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
5,
4,
5,
4,
4,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
3,
2,
2,
3,
4,
3,
4,
4,
2,
4,
4,
2,
3,
3,
3,
2,
2,
2,
5,
3,
2,
2,
4,
4,
4,
5,
2,
2,
2,
2,
2,
4,
4,
2,
2,
7,
4,
3,
3,
2,
2,
4,
4,
3,
4,
3,
3,
3,
3,
3,
4,
3,
3,
2,
3,
3,
3,
3,
2,
3,
4,
4,
3,
4,
4,
2,
4,
4,
4,
5,
4,
4,
3,
2,
3,
4,
4,
2,
3,
4,
2,
7,
4,
4,
4,
4,
5,
2,
3,
3,
3,
2,
3,
3,
3,
7,
3,
4,
4,
4,
2,
3,
3,
4,
3,
4,
5,
2,
4,
7,
3,
1,
3,
2,
2,
4,
4,
4,
3,
4,
5,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
5,
3,
5,
3,
3,
4,
4,
1,
4,
4,
2,
1,
2,
2,
4,
4,
3,
2,
2,
2,
4,
3,
4,
3,
3,
4,
4,
4,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
7,
3,
5,
5,
5,
5,
2,
6,
3,
4,
4,
2,
2,
2,
7,
4,
3,
2,
3,
3,
3,
6,
3,
4,
2,
3,
2,
4,
4,
8,
2,
2,
5,
4,
4,
3,
5,
4,
3,
4,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
5,
4,
3,
2,
2,
4,
4,
3,
2,
2,
2,
4,
3,
3,
3,
3,
3,
4,
3,
2,
4,
3,
5,
1,
4,
4,
4,
2,
2,
5,
5,
5,
3,
5,
4,
2,
4,
2,
2,
5,
3,
3,
4,
5,
2,
4,
6,
4,
4,
4,
3,
2,
3,
3,
3,
2,
4,
4,
4,
4,
4,
2,
3,
4,
3,
3,
3,
3,
3,
4,
2,
3,
3,
4,
2,
2,
2,
2,
3,
4,
2,
3,
2,
3,
4,
4,
2,
2,
5,
4,
2,
2,
2,
4,
4,
3,
3,
3,
2,
3,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
2,
4,
4,
1,
2,
2,
2,
3,
3,
4,
3,
5,
2,
2,
3,
2,
2,
2,
3,
4,
3,
6,
3,
3,
4,
4,
5,
5,
4,
5,
2,
3,
3,
1,
9,
9,
4,
5,
3,
3,
6,
2,
4,
3,
2,
2,
4,
4,
4,
4,
4,
2,
2,
5,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
1,
4,
5,
6,
4,
5,
5,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
1,
4,
2,
1,
3,
2,
2,
4,
2,
4,
4,
6,
4,
5,
3,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
2,
3,
4,
2,
3,
2,
4,
4,
4,
2,
2,
5,
2,
4,
3,
3,
2,
4,
3,
4,
7,
5,
7,
3,
4,
5,
5,
4,
3,
3,
4,
3,
4,
4,
4,
2,
2,
3,
2,
4,
4,
3,
2,
4,
2,
3,
2,
3,
3,
4,
4,
4,
3,
2,
2,
3,
6,
3,
3,
4,
4,
4,
4,
4,
2,
3,
4,
3,
5,
4,
2,
4,
4,
4,
4,
3,
5,
5,
3,
3,
3,
4,
4,
2,
2,
3,
4,
2,
3,
3,
5,
2,
3,
3,
2,
3,
3,
3,
3,
5,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
1,
3,
3,
2,
3,
1,
3,
4,
4,
4,
4,
2,
2,
3,
2,
3,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
6,
5,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
3,
3,
4,
2,
2,
2,
2,
2,
5,
3,
3,
2,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
4,
2,
3,
3,
3,
4,
3,
3,
3,
6,
3,
5,
3,
4,
4,
3,
3,
6,
3,
2,
3,
2,
2,
3,
2,
2,
4,
5,
4,
3,
5,
2,
2,
4,
3,
3,
3,
3,
4,
2,
2,
2,
4,
2,
2,
2,
3,
4,
3,
3,
3,
4,
5,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
4,
4,
4,
2,
4,
2,
3,
1,
3,
2,
3,
2,
2,
3,
3,
2,
4,
2,
3,
2,
3,
3,
3,
3,
6,
6,
4,
4,
2,
5,
5,
4,
4,
3,
2,
4,
2,
5,
2,
4,
4,
3,
2,
3,
4,
2,
2,
4,
4,
4,
4,
3,
4,
4,
4,
8,
4,
4,
2,
2,
2,
4,
2,
2,
2,
4,
3,
4,
3,
4,
4,
4,
3,
2,
2,
5,
4,
4,
3,
2,
3,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
4,
3,
9,
5,
5,
3,
8,
2,
4,
4,
4,
4,
5,
4,
3,
3,
5,
2,
3,
3,
4,
2,
4,
4,
4,
7,
4,
3,
3,
3,
2,
4,
3,
2,
2,
3,
5,
4,
3,
4,
4,
4,
6,
2,
2,
3,
2,
2,
2,
3,
3,
4,
4,
6,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
3,
2,
4,
6,
4,
4,
4,
1,
5,
4,
3,
5,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
3,
2,
4,
2,
3,
3,
6,
4,
7,
4,
4,
4,
4,
4,
3,
6,
3,
2,
2,
2,
4,
4,
2,
6,
4,
5,
4,
6,
3,
2,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
4,
5,
3,
3,
3,
3,
4,
3,
4,
2,
2,
2,
2,
2,
3,
4,
4,
4,
5,
5,
4,
4,
4,
3,
3,
5,
5,
2,
3,
4,
4,
2,
6,
5,
6,
3,
2,
3,
3,
2,
4,
3,
4,
4,
4,
2,
5,
6,
4,
3,
4,
5,
6,
4,
4,
4,
2,
7,
4,
4,
4,
3,
4,
4,
4,
3,
4,
2,
3,
3,
3,
4,
4,
4,
2,
3,
2,
4,
4,
2,
4,
2,
2,
4,
3,
4,
4,
3,
5,
4,
4,
4,
3,
4,
4,
2,
2,
2,
3,
2,
4,
4,
4,
3,
4,
4,
2,
3,
5,
4,
2,
3,
3,
4,
5,
3,
3,
5,
3,
2,
3,
5,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
4,
5,
4,
2,
2,
3,
2,
4,
4,
2,
3,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
6,
4,
6,
4,
2,
2,
5,
4,
4,
4,
3,
4,
3,
3,
6,
3,
4,
3,
5,
2,
2,
2,
2,
2,
4,
3,
3,
6,
2,
7,
3,
2,
4,
6,
5,
6,
7,
6,
2,
3,
6,
3,
5,
2,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
2,
3,
4,
5,
1,
5,
3,
5,
4,
3,
4,
4,
4,
2,
3,
1,
4,
6,
4,
4,
4,
4,
5,
4,
4,
1,
2,
4,
4,
4,
4,
3,
6,
10,
4,
3,
3,
4,
3,
6,
3,
3,
3,
4,
4,
8,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
5,
6,
3,
4,
3,
2,
7,
4,
4,
4,
3,
2,
4,
4,
2,
4,
3,
4,
4,
4,
4,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
7,
5,
5,
5,
9,
5,
4,
3,
5,
2,
4,
4,
3,
3,
4,
3,
4,
3,
2,
2,
2,
2,
2,
4,
5,
4,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
2,
4,
6,
4,
4,
1,
4,
4,
6,
6,
5,
5,
3,
5,
5,
2,
2,
2,
2,
2,
3,
3,
4,
5,
5,
4,
4,
4,
6,
2,
3,
4,
3,
4,
3,
1,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
6,
3,
4,
4,
8,
2,
3,
3,
3,
3,
4,
2,
4,
2,
5,
3,
3,
2,
3,
3,
5,
3,
5,
3,
2,
3,
2,
4,
2,
2,
3,
4,
4,
3,
6,
4,
3,
3,
6,
2,
3,
9,
9,
4,
4,
4,
4,
4,
4,
3,
1,
3,
6,
3,
4,
3,
2,
3,
3,
3,
2,
2,
4,
4,
4,
2,
4,
4,
5,
2,
3,
3,
3,
3,
2,
3,
3,
2,
2,
3,
3,
4,
3,
2,
2,
2,
4,
2,
3,
3,
3,
7,
7,
6,
6,
4,
4,
4,
3,
3,
3,
2,
4,
3,
3,
4,
2,
5,
5,
5,
3,
4,
2,
4,
4,
3,
4,
2,
2,
2,
2,
4,
3,
3,
3,
3,
2,
5,
4,
4,
4,
2,
3,
4,
2,
2,
4,
2,
5,
4,
4,
4,
4,
3,
2,
3,
3,
3,
3,
2,
5,
6,
3,
5,
4,
6,
2,
5,
3,
2,
5,
3,
2,
2,
3,
2,
2,
4,
4,
3,
3,
4,
2,
3,
3,
3,
3,
3,
2,
3,
4,
4,
3,
2,
5,
2,
2,
2,
6,
4,
3,
3,
3,
6,
6,
4,
3,
3,
3,
2,
6,
4,
3,
2,
7,
2,
2,
2,
3,
2,
2,
6,
3,
3,
2,
3,
2,
2,
2,
5,
4,
2,
3,
6,
5,
2,
3,
3,
1,
2,
3,
2,
3,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
3,
3,
2,
3,
2,
3,
3,
5,
4,
4,
3,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
4,
2,
3,
4,
1,
2,
4,
2,
2,
4,
2,
2,
3,
4,
3,
3,
3,
3,
3,
6,
3,
3,
4,
3,
3,
4,
3,
5,
4,
5,
3,
3,
2,
2,
2,
3,
3,
4,
4,
6,
4,
2,
4,
3,
4,
3,
3,
2,
2,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
5,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
4,
3,
3,
2,
4,
4,
2,
3,
3,
2,
4,
3,
2,
2,
4,
2,
4,
4,
4,
5,
2,
5,
5,
3,
3,
3,
3,
4,
2,
3,
3,
3,
3,
2,
1,
3,
2,
3,
3,
3,
3,
5,
3,
3,
3,
3,
2,
2,
2,
4,
3,
1,
2,
4,
2,
2,
5,
4,
4,
3,
4,
4,
2,
3,
3,
3,
2,
4,
1,
4,
4,
3,
3,
3,
4,
5,
4,
5,
4,
5,
4,
4,
6,
5,
4,
2,
2,
7,
5,
2,
2,
4,
5,
2,
4,
4,
4,
3,
3,
3,
4,
4,
2,
5,
2,
4,
3,
3,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
5,
5,
7,
6,
6,
4,
4,
2,
4,
3,
2,
3,
3,
3,
5,
3,
2,
2,
3,
2,
2,
4,
3,
3,
3,
6,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
5,
4,
3,
4,
4,
4,
7,
4,
2,
4,
4,
4,
2,
4,
2,
3,
2,
4,
4,
2,
4,
6,
5,
2,
4,
3,
3,
3,
2,
5,
2,
3,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
3,
2,
4,
4,
4,
4,
6,
2,
4,
4,
1,
2,
4,
4,
4,
4,
2,
3,
3,
3,
2,
4,
5,
4,
3,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
4,
2,
4,
4,
3,
5,
2,
3,
1,
3,
2,
4,
4,
4,
4,
2,
4,
2,
2,
1,
3,
3,
4,
3,
2,
3,
2,
3,
3,
2,
5,
4,
5,
5,
3,
3,
3,
3,
4,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
4,
5,
5,
5,
5,
3,
5,
5,
2,
2,
4,
5,
4,
4,
5,
4,
5,
3,
3,
2,
2,
2,
3,
3,
3,
2,
9,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
3,
3,
2,
7,
3,
4,
3,
3,
2,
4,
3,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
6,
5,
5,
5,
5,
5,
2,
3,
5,
5,
4,
2,
4,
3,
3,
2,
2,
2,
2,
1,
2,
1,
6,
5,
5,
2,
3,
4,
3,
2,
2,
2,
2,
3,
6,
4,
3,
4,
3,
4,
5,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
3,
2,
4,
2,
3,
5,
2,
3,
3,
3,
3,
4,
2,
4,
2,
4,
4,
5,
3,
4,
3,
3,
5,
3,
3,
3,
2,
2,
2,
2,
3,
2,
4,
4,
2,
4,
2,
3,
4,
2,
4,
2,
1,
3,
4,
4,
4,
3,
4,
4,
3,
4,
4,
2,
4,
2,
2,
4,
3,
2,
3,
2,
2,
2,
2,
4,
3,
2,
3,
3,
3,
3,
2,
2,
4,
4,
4,
2,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
2,
4,
3,
1,
4,
4,
4,
3,
4,
3,
3,
3,
2,
3,
3,
3,
2,
2,
4,
4,
4,
4,
5,
2,
3,
3,
3,
4,
6,
2,
5,
6,
4,
5,
3,
2,
2,
2,
3,
2,
4,
4,
3,
2,
3,
3,
3,
2,
2,
2,
4,
2,
3,
3,
4,
2,
5,
5,
2,
3,
3,
3,
4,
3,
3,
4,
2,
1,
3,
4,
2,
2,
1,
4,
3,
2,
2,
3,
2,
2,
2,
4,
2,
4,
4,
3,
3,
2,
2,
3,
3,
3,
3,
4,
4,
5,
4,
4,
2,
5,
2,
2,
2,
2,
5,
5,
2,
2,
3,
3,
2,
6,
5,
4,
3,
2,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
4,
4,
4,
2,
4,
4,
6,
2,
3,
3,
2,
3,
2,
3,
2,
4,
2,
2,
3,
5,
2,
4,
3,
3,
3,
3,
2,
2,
4,
4,
2,
3,
4,
2,
2,
3,
4,
7,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
4,
6,
4,
4,
4,
3,
4,
3,
2,
6,
6,
2,
4,
2,
2,
2,
2,
6,
3,
3,
2,
4,
2,
3,
2,
3,
5,
4,
3,
4,
4,
6,
4,
2,
4,
3,
4,
3,
3,
4,
2,
4,
3,
5,
4,
3,
3,
2,
2,
4,
6,
5,
4,
4,
5,
4,
6,
4,
3,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
1,
1,
4,
5,
3,
4,
3,
4,
4,
4,
4,
3,
4,
2,
4,
4,
2,
2,
3,
2,
1,
4,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
5,
3,
3,
3,
3,
2,
2,
3,
2,
2,
4,
3,
3,
3,
3,
3,
6,
4,
4,
4,
2,
3,
2,
4,
4,
4,
2,
3,
5,
3,
3,
3,
3,
3,
4,
5,
2,
2,
2,
2,
3,
2,
2,
3,
2,
3,
4,
4,
2,
2,
3,
4,
4,
3,
6,
4,
4,
3,
2,
3,
4,
2,
2,
2,
2,
2,
3,
3,
2,
5,
3,
3,
3,
3,
9,
5,
4,
3,
3,
2,
3,
3,
4,
3,
3,
2,
2,
3,
1,
2,
2,
2,
2,
2,
1,
1,
3,
2,
3,
2,
3,
2,
4,
4,
5,
4,
5,
2,
5,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
5,
3,
5,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
3,
4,
4,
3,
2,
2,
2,
2,
5,
5,
5,
3,
5,
3,
3,
5,
3,
2,
6,
3,
3,
3,
3,
3,
3,
2,
3,
3,
7,
2,
3,
6,
8,
4,
3,
3,
2,
3,
4,
4,
2,
2,
3,
4,
4,
3,
4,
6,
3,
3,
3,
3,
4,
4,
3,
3,
2,
3,
3,
5,
2,
2,
6,
6,
4,
6,
6,
2,
5,
2,
3,
2,
2,
4,
2,
3,
2,
2,
2,
3,
2,
2,
5,
2,
7,
3,
3,
5,
3,
1,
4,
4,
4,
3,
4,
2,
4,
4,
2,
5,
3,
2,
2,
3,
2,
2,
4,
3,
4,
3,
4,
5,
5,
4,
8,
4,
3,
3,
3,
3,
3,
4,
3,
3,
3,
4,
6,
3,
5,
2,
7,
3,
2,
2,
2,
2,
3,
3,
3,
3,
2,
3,
3,
4,
4,
4,
1,
3,
3,
5,
3,
4,
2,
2,
2,
4,
2,
3,
3,
2,
2,
2,
5,
2,
3,
4,
2,
3,
5,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
4,
3,
7,
4,
4,
4,
4,
4,
2,
3,
2,
3,
4,
3,
6,
2,
6,
2,
5,
5,
3,
2,
4,
4,
3,
4,
2,
2,
5,
4,
4,
4,
2,
2,
4,
4,
2,
5,
4,
2,
2,
3,
4,
4,
5,
4,
5,
8,
4,
3,
5,
3,
6,
6,
4,
5,
2,
5,
2,
3,
4,
2,
3,
1,
2,
2,
2,
2,
3,
2,
3,
3,
4,
4,
2,
4,
5,
4,
4,
3,
2,
3,
4,
4,
3,
1,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
2,
3,
3,
2,
3,
2,
3,
3,
3,
3,
4,
3,
2,
3,
4,
4,
2,
2,
4,
4,
3,
2,
2,
4,
4,
4,
2,
2,
2,
4,
3,
2,
3,
3,
3,
2,
2,
2,
2,
5,
3,
2,
2,
4,
2,
2,
4,
2,
2,
4,
4,
4,
5,
2,
3,
2,
2,
2,
5,
5,
5,
4,
4,
4,
2,
3,
4,
3,
2,
2,
2,
2,
4,
3,
4,
3,
4,
7,
4,
2,
6,
4,
2,
2,
5,
3,
3,
5,
3,
2,
7,
3,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
6,
4,
2,
4,
3,
3,
3,
2,
2,
4,
2,
2,
4,
2,
2,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
2,
2,
2,
2,
4,
3,
4,
3,
3,
3,
7,
4,
2,
4,
2,
3,
3,
2,
3,
3,
3,
4,
4,
4,
3,
3,
3,
3,
4,
3,
1,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
3,
2,
2,
3,
2,
3,
3,
4,
4,
4,
3,
2,
3,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
3,
4,
2,
2,
2,
2,
2,
3,
1,
3,
3,
1,
2,
3,
4,
2,
2,
4,
3,
2,
4,
3,
4,
4,
4,
4,
4,
5,
4,
4,
5,
2,
2,
2,
3,
2,
4,
4,
5,
4,
2,
3,
6,
2,
2,
3,
3,
2,
1,
2,
5,
3,
4,
4,
7,
3,
3,
2,
3,
5,
4,
3,
4,
4,
4,
3,
4,
3,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
3,
3,
3,
3,
4,
3,
2,
2,
2,
3,
2,
2,
3,
3,
4,
4,
4,
4,
4,
3,
2,
3,
3,
7,
2,
2,
4,
4,
3,
4,
3,
3,
2,
2,
4,
4,
6,
3,
2,
8,
2,
2,
3,
4,
2,
4,
3,
3,
2,
2,
4,
3,
8,
3,
4,
3,
2,
4,
4,
1,
4,
2,
4,
2,
2,
2,
2,
4,
3,
4,
4,
2,
7,
4,
4,
3,
5,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
4,
4,
2,
3,
6,
5,
4,
4,
3,
2,
4,
3,
2,
2,
2,
4,
4,
2,
2,
4,
4,
4,
1,
3,
4,
5,
3,
3,
3,
2,
3,
2,
3,
5,
3,
2,
2,
2,
3,
4,
3,
3,
5,
2,
2,
2,
5,
4,
3,
4,
3,
3,
2,
3,
4,
4,
4,
3,
4,
4,
2,
6,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
5,
7,
5,
3,
3,
3,
3,
2,
5,
7,
5,
8,
4,
4,
3,
2,
3,
2,
2,
2,
3,
4,
3,
3,
2,
2,
2,
2,
4,
2,
4,
5,
3,
3,
2,
3,
2,
2,
2,
1,
2,
3,
3,
6,
3,
3,
3,
3,
2,
2,
4,
3,
4,
5,
3,
3,
3,
3,
3,
3,
6,
2,
2,
4,
4,
7,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
6,
2,
4,
4,
2,
2,
2,
3,
4,
2,
2,
4,
2,
2,
3,
2,
4,
3,
3,
4,
2,
4,
2,
2,
4,
2,
3,
3,
5,
3,
2,
3,
4,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
4,
5,
2,
2,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
5,
2,
3,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
4,
3,
2,
4,
4,
4,
4,
2,
4,
2,
2,
3,
2,
3,
4,
4,
2,
4,
4,
2,
3,
5,
4,
4,
4,
4,
4,
2,
2,
3,
4,
3,
2,
2,
3,
3,
5,
2,
1,
4,
2,
2,
2,
4,
2,
4,
4,
2,
4,
3,
4,
2,
3,
3,
2,
2,
2,
3,
2,
4,
2,
2,
2,
3,
2,
4,
4,
2,
4,
3,
3,
2,
2,
1,
2,
3,
2,
2,
2,
1,
3,
2,
2,
2,
3,
2,
2,
2,
2,
5,
5,
4,
4,
4,
3,
5,
3,
6,
2,
3,
3,
2,
1,
3,
2,
2,
4,
3,
7,
2,
4,
2,
4,
3,
3,
4,
3,
3,
7,
4,
2,
2,
6,
4,
6,
3,
3,
2,
4,
4,
2,
3,
2,
3,
6,
2,
6,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
2,
4,
2,
4,
2,
2,
2,
2,
3,
1,
4,
3,
4,
2,
5,
2,
2,
6,
3,
3,
4,
4,
2,
2,
2,
3,
2,
5,
2,
2,
3,
2,
1,
2,
3,
2,
1,
6,
5,
5,
2,
6,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
3,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
6,
6,
6,
2,
2,
4,
4,
4,
4,
4,
3,
2,
3,
2,
2,
3,
3,
3,
5,
3,
3,
4,
4,
4,
4,
2,
4,
3,
4,
2,
5,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
3,
2,
2,
3,
4,
4,
4,
3,
5,
4,
5,
4,
4,
4,
4,
4,
3,
5,
2,
4,
4,
3,
3,
3,
2,
4,
4,
3,
3,
3,
2,
3,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
2,
2,
5,
2,
4,
4,
2,
3,
5,
2,
2,
3,
2,
2,
2,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
4,
4,
5,
4,
3,
2,
3,
2,
2,
2,
3,
8,
4,
2,
2,
2,
2,
6,
3,
6,
7,
4,
2,
2,
4,
3,
3,
2,
3,
4,
4,
5,
3,
6,
3,
4,
3,
2,
3,
4,
5,
3,
4,
4,
2,
2,
4,
2,
4,
4,
3,
2,
4,
2,
4,
3,
2,
4,
2,
2,
6,
4,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
2,
1,
2,
4,
4,
3,
2,
2,
3,
3,
2,
2,
4,
2,
3,
6,
5,
6,
5,
5,
3,
4,
2,
4,
2,
3,
2,
2,
2,
2,
3,
4,
2,
3,
4,
2,
3,
2,
4,
1,
1,
5,
5,
4,
4,
4,
3,
1,
3,
2,
2,
4,
4,
2,
2,
5,
5,
5,
5,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
6,
2,
4,
3,
3,
2,
4,
4,
5,
4,
3,
1,
2,
6,
3,
3,
2,
3,
3,
2,
3,
3,
4,
3,
3,
4,
4,
3,
3,
3,
3,
3,
2,
3,
2,
2,
4,
4,
4,
4,
4,
3,
8,
4,
3,
3,
7,
2,
4,
1,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
2,
3,
3,
3,
3,
2,
3,
4,
4,
3,
4,
5,
3,
2,
2,
4,
4,
3,
2,
2,
3,
2,
2,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
4,
3,
7,
5,
5,
4,
10,
4,
3,
4,
3,
4,
2,
2,
3,
3,
2,
4,
2,
2,
2,
3,
2,
3,
3,
3,
3,
2,
4,
3,
5,
2,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
2,
3,
3,
3,
3,
4,
1,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
7,
4,
4,
7,
3,
3,
3,
5,
2,
3,
3,
2,
1,
2,
3,
3,
4,
3,
2,
1,
3,
3,
3,
2,
3,
3,
2,
4,
2,
3,
3,
3,
5,
3,
2,
1,
3,
2,
2,
2,
4,
3,
2,
4,
4,
4,
4,
6,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
6,
3,
3,
4,
2,
3,
2,
5,
5,
4,
3,
4,
2,
5,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
7,
4,
3,
4,
6,
5,
2,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
4,
2,
3,
2,
4,
4,
4,
4,
1,
7,
4,
2,
2,
5,
4,
4,
4,
4,
5,
3,
5,
4,
3,
4,
4,
2,
4,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
4,
4,
3,
2,
2,
2,
3,
3,
2,
4,
5,
3,
6,
2,
2,
2,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
6,
2,
3,
2,
4,
4,
4,
4,
4,
4,
5,
2,
2,
2,
2,
4,
2,
4,
5,
3,
2,
4,
3,
5,
3,
3,
3,
5,
3,
3,
3,
3,
4,
4,
3,
4,
4,
4,
3,
3,
3,
2,
3,
4,
4,
3,
4,
2,
6,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
2,
3,
4,
4,
5,
3,
3,
2,
3,
3,
3,
2,
4,
2,
2,
2,
3,
4,
4,
5,
4,
4,
5,
2,
4,
7,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
4,
3,
4,
4,
3,
3,
3,
3,
4,
4,
3,
3,
5,
2,
4,
2,
2,
2,
4,
2,
4,
2,
2,
5,
3,
5,
4,
4,
3,
3,
4,
4,
4,
4,
4,
7,
4,
3,
4,
4,
4,
4,
3,
4,
2,
4,
4,
4,
2,
3,
4,
4,
2,
2,
3,
3,
4,
2,
3,
3,
6,
3,
2,
4,
2,
4,
3,
3,
5,
2,
4,
4,
2,
2,
5,
4,
4,
5,
5,
5,
4,
3,
3,
4,
2,
4,
2,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
3,
3,
6,
4,
6,
4,
2,
3,
5,
4,
4,
4,
4,
4,
4,
2,
5,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
3,
2,
3,
4,
3,
2,
2,
2,
3,
3,
2,
2,
3,
2,
6,
5,
3,
3,
3,
3,
3,
3,
4,
3,
3,
4,
5,
4,
7,
4,
4,
4,
4,
4,
2,
3,
4,
3,
4,
2,
4,
3,
2,
2,
2,
6,
3,
4,
4,
2,
4,
4,
2,
2,
3,
3,
3,
3,
2,
5,
7,
6,
2,
3,
6,
2,
4,
4,
3,
2,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
3,
2,
2,
3,
2,
3,
3,
3,
3,
3,
5,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
5,
4,
4,
4,
3,
2,
2,
2,
3,
7,
4,
3,
5,
3,
3,
3,
4,
2,
3,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
3,
5,
2,
3,
6,
3,
4,
2,
4,
4,
3,
4,
2,
4,
4,
4,
5,
4,
4,
4,
4,
3,
5,
2,
3,
3,
3,
3,
5,
4,
2,
3,
3,
2,
3,
3,
4,
4,
5,
2,
3,
4,
3,
3,
3,
2,
5,
3,
5,
1,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
5,
4,
4,
4,
4,
5,
2,
2,
6,
4,
3,
3,
3,
2,
3,
3,
3,
2,
1,
4,
4,
4,
4,
4,
2,
2,
3,
4,
2,
3,
3,
4,
4,
4,
3,
4,
3,
4,
4,
2,
2,
2,
2,
1,
4,
4,
3,
3,
3,
3,
4,
2,
4,
4,
2,
2,
3,
6,
2,
3,
4,
4,
3,
2,
4,
2,
2,
2,
3,
3,
2,
4,
5,
6,
4,
4,
4,
5,
3,
3,
5,
3,
3,
2,
2,
2,
6,
5,
4,
7,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
3,
2,
2,
4,
2,
4,
4,
4,
6,
4,
2,
4,
4,
2,
4,
5,
3,
3,
4,
3,
5,
2,
3,
5,
4,
3,
6,
3,
4,
5,
5,
3,
4,
4,
5,
4,
4,
4,
4,
4,
6,
4,
4,
4,
3,
2,
2,
3,
4,
3,
2,
3,
2,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
5,
4,
2,
2,
2,
4,
2,
5,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
4,
4,
3,
5,
2,
2,
2,
5,
6,
4,
4,
2,
2,
3,
2,
2,
4,
5,
2,
4,
2,
5,
4,
4,
3,
4,
1,
3,
2,
4,
4,
4,
2,
3,
3,
5,
4,
3,
2,
3,
3,
3,
3,
3,
3,
4,
5,
4,
4,
4,
3,
4,
3,
4,
8,
2,
2,
2,
2,
3,
2,
2,
4,
3,
4,
4,
4,
4,
4,
2,
3,
2,
3,
2,
3,
4,
3,
4,
4,
4,
2,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
6,
3,
2,
6,
4,
2,
2,
2,
2,
3,
2,
3,
4,
2,
4,
4,
3,
6,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
2,
5,
2,
2,
5,
3,
2,
2,
2,
3,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
4,
5,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
5,
2,
3,
4,
2,
4,
4,
2,
2,
4,
9,
5,
4,
4,
3,
3,
3,
3,
2,
2,
5,
3,
2,
4,
3,
2,
4,
4,
5,
3,
3,
2,
1,
2,
3,
3,
5,
3,
3,
3,
3,
1,
2,
2,
2,
2,
1,
4,
4,
4,
4,
5,
3,
4,
4,
4,
2,
4,
2,
3,
3,
3,
2,
2,
4,
2,
4,
3,
4,
2,
2,
2,
5,
2,
2,
4,
2,
4,
4,
3,
2,
2,
2,
4,
4,
2,
3,
3,
3,
5,
3,
2,
3,
3,
2,
2,
4,
4,
2,
3,
4,
3,
3,
4,
1,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
7,
4,
3,
5,
2,
3,
2,
2,
4,
2,
2,
6,
3,
5,
3,
6,
4,
3,
3,
3,
4,
4,
4,
3,
4,
4,
4,
4,
3,
4,
4,
3,
3,
4,
4,
4,
2,
4,
2,
3,
2,
4,
4,
4,
5,
2,
3,
3,
2,
4,
2,
3,
2,
3,
3,
2,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
5,
5,
6,
3,
3,
2,
2,
2,
3,
3,
2,
2,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
3,
4,
3,
3,
3,
2,
5,
5,
3,
2,
4,
3,
5,
7,
6,
3,
3,
3,
3,
3,
4,
3,
4,
3,
5,
3,
3,
3,
4,
5,
4,
3,
4,
4,
2,
3,
3,
3,
4,
2,
3,
3,
2,
2,
2,
4,
2,
4,
2,
2,
2,
2,
7,
4,
4,
3,
3,
4,
5,
4,
3,
2,
2,
6,
4,
4,
3,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
5,
4,
2,
4,
3,
4,
4,
4,
7,
5,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
5,
3,
4,
4,
4,
2,
4,
3,
2,
4,
4,
4,
3,
2,
3,
3,
4,
2,
3,
3,
3,
5,
3,
3,
3,
2,
3,
3,
6,
4,
2,
2,
2,
3,
5,
3,
2,
2,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
3,
2,
3,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
2,
2,
3,
2,
2,
2,
2,
4,
2,
3,
2,
6,
3,
4,
3,
3,
7,
4,
4,
4,
2,
4,
4,
2,
3,
4,
3,
3,
3,
3,
3,
2,
7,
4,
4,
5,
6,
3,
5,
3,
5,
5,
6,
4,
4,
3,
3,
3,
2,
3,
3,
2,
4,
3,
3,
4,
2,
5,
4,
4,
4,
2,
3,
3,
3,
2,
4,
3,
3,
2,
5,
3,
4,
2,
2,
4,
2,
2,
3,
2,
2,
4,
5,
4,
4,
4,
4,
5,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
5,
2,
2,
4,
4,
3,
4,
2,
3,
4,
4,
2,
4,
2,
2,
2,
3,
4,
2,
3,
4,
3,
3,
3,
4,
4,
4,
2,
2,
3,
3,
4,
3,
5,
3,
4,
4,
4,
2,
3,
3,
2,
4,
2,
3,
3,
4,
2,
2,
4,
2,
4,
2,
4,
3,
2,
2,
2,
2,
5,
3,
3,
5,
2,
4,
4,
7,
4,
6,
3,
2,
4,
3,
3,
2,
2,
2,
4,
4,
2,
2,
4,
3,
3,
3,
2,
3,
3,
3,
7,
4,
4,
4,
2,
4,
3,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
2,
3,
4,
3,
5,
4,
3,
3,
2,
3,
4,
3,
3,
4,
4,
5,
6,
5,
4,
5,
4,
4,
3,
2,
6,
4,
4,
3,
5,
3,
4,
3,
5,
2,
4,
4,
3,
3,
5,
2,
5,
2,
2,
2,
2,
4,
3,
2,
3,
4,
7,
2,
4,
2,
4,
4,
6,
4,
4,
4,
4,
4,
4,
3,
5,
2,
2,
4,
3,
2,
3,
2,
3,
3,
3,
3,
3,
5,
5,
5,
5,
2,
3,
3,
3,
3,
4,
4,
1,
4,
2,
2,
2,
2,
2,
4,
4,
3,
4,
4,
3,
3,
3,
3,
3,
4,
4,
3,
4,
4,
4,
4,
6,
6,
5,
6,
4,
2,
4,
3,
2,
3,
3,
5,
4,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
2,
2,
4,
3,
3,
3,
5,
5,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
5,
3,
2,
2,
3,
3,
4,
4,
6,
5,
8,
3,
2,
4,
4,
4,
3,
4,
3,
6,
3,
3,
3,
5,
4,
2,
3,
3,
3,
2,
3,
2,
4,
2,
2,
3,
11,
5,
4,
3,
4,
3,
3,
5,
5,
3,
4,
4,
3,
3,
2,
3,
1,
4,
5,
2,
1,
2,
2,
3,
3,
2,
2,
4,
2,
2,
2,
3,
2,
1,
7,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
4,
2,
4,
2,
2,
3,
2,
3,
4,
2,
4,
4,
4,
3,
8,
4,
2,
3,
4,
2,
2,
2,
4,
2,
2,
2,
4,
5,
3,
3,
2,
3,
4,
4,
6,
5,
4,
3,
4,
4,
5,
3,
4,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
2,
3,
3,
2,
2,
3,
3,
3,
2,
4,
4,
3,
3,
2,
4,
5,
3,
4,
2,
2,
3,
2,
3,
3,
3,
3,
4,
4,
4,
2,
2,
3,
4,
3,
3,
3,
2,
3,
3,
3,
3,
4,
4,
4,
3,
4,
3,
3,
4,
3,
1,
7,
4,
7,
7,
5,
4,
3,
3,
4,
3,
4,
4,
4,
6,
6,
3,
3,
2,
2,
2,
4,
2,
3,
3,
3,
2,
3,
3,
2,
3,
5,
6,
3,
4,
4,
4,
2,
6,
2,
4,
2,
3,
3,
6,
2,
2,
2,
2,
2,
5,
6,
3,
3,
2,
2,
4,
4,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
2,
8,
4,
3,
4,
3,
4,
1,
3,
3,
2,
2,
4,
3,
2,
3,
3,
5,
3,
3,
3,
4,
3,
3,
2,
3,
2,
2,
4,
4,
4,
3,
4,
5,
2,
2,
6,
6,
3,
2,
3,
1,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
3,
1,
4,
2,
3,
3,
5,
5,
3,
3,
2,
2,
3,
2,
3,
3,
5,
5,
4,
7,
3,
3,
3,
5,
5,
4,
2,
4,
4,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
7,
4,
2,
3,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
3,
4,
4,
3,
4,
2,
3,
3,
4,
3,
4,
4,
2,
4,
2,
3,
3,
3,
3,
1,
2,
2,
4,
5,
3,
3,
2,
6,
2,
2,
10,
5,
4,
4,
3,
4,
4,
2,
5,
4,
5,
4,
2,
2,
4,
2,
3,
2,
4,
4,
4,
4,
3,
4,
6,
3,
3,
4,
4,
4,
3,
5,
4,
4,
3,
4,
2,
2,
2,
4,
5,
2,
2,
1,
2,
2,
4,
3,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
2,
3,
5,
4,
2,
2,
2,
4,
4,
2,
2,
4,
3,
3,
3,
3,
2,
4,
2,
1,
1,
3,
4,
4,
3,
2,
2,
2,
3,
7,
4,
4,
3,
4,
2,
3,
4,
2,
2,
4,
2,
4,
4,
3,
3,
3,
3,
3,
4,
4,
3,
4,
3,
3,
3,
2,
2,
5,
3,
2,
3,
4,
2,
4,
3,
2,
4,
2,
3,
3,
2,
6,
1,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
4,
2,
2,
3,
2,
4,
4,
3,
5,
3,
3,
3,
3,
6,
4,
3,
4,
3,
3,
7,
2,
4,
4,
3,
2,
2,
2,
2,
2,
4,
5,
5,
5,
4,
4,
3,
5,
3,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
3,
3,
4,
4,
3,
3,
2,
4,
6,
5,
9,
5,
4,
4,
3,
4,
4,
3,
4,
5,
3,
2,
6,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
2,
5,
7,
6,
2,
3,
3,
5,
3,
4,
3,
4,
3,
5,
2,
2,
2,
2,
1,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
4,
5,
4,
2,
2,
2,
2,
2,
2,
5,
5,
6,
4,
2,
2,
3,
4,
2,
1,
2,
4,
2,
3,
1,
2,
2,
4,
5,
3,
3,
2,
2,
5,
6,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
3,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
2,
4,
4,
2,
1,
3,
3,
4,
4,
5,
2,
2,
4,
4,
2,
4,
2,
2,
2,
3,
3,
4,
5,
2,
2,
4,
2,
4,
3,
3,
4,
4,
5,
5,
3,
4,
4,
2,
2,
4,
3,
4,
3,
4,
3,
3,
4,
4,
2,
2,
3,
4,
3,
4,
2,
2,
2,
4,
4,
5,
5,
2,
4,
4,
2,
4,
2,
2,
3,
5,
4,
4,
3,
4,
3,
5,
2,
2,
2,
4,
2,
3,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
2,
3,
3,
2,
2,
3,
2,
2,
3,
4,
5,
2,
4,
2,
2,
4,
5,
2,
4,
5,
3,
4,
2,
2,
4,
3,
3,
4,
3,
3,
2,
2,
3,
4,
4,
4,
4,
3,
3,
2,
4,
4,
4,
2,
3,
3,
4,
4,
4,
2,
2,
2,
4,
2,
4,
4,
4,
2,
4,
3,
3,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
6,
7,
6,
3,
2,
2,
4,
2,
2,
3,
3,
2,
2,
3,
3,
2,
2,
2,
5,
3,
4,
4,
4,
4,
4,
3,
2,
4,
2,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
3,
2,
5,
4,
2,
4,
6,
3,
2,
2,
2,
6,
6,
4,
5,
4,
2,
1,
4,
2,
2,
3,
2,
2,
7,
3,
4,
2,
4,
4,
2,
2,
2,
2,
2,
3,
3,
5,
5,
5,
4,
4,
4,
2,
6,
3,
2,
4,
2,
2,
2,
2,
4,
5,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
2,
2,
3,
3,
1,
4,
2,
3,
3,
4,
4,
4,
3,
3,
2,
1,
2,
4,
2,
6,
4,
3,
4,
2,
2,
1,
4,
3,
2,
4,
2,
4,
4,
2,
4,
4,
4,
5,
2,
5,
4,
2,
3,
3,
3,
2,
2,
3,
3,
2,
2,
4,
2,
2,
3,
4,
4,
4,
4,
4,
5,
3,
3,
3,
5,
5,
3,
4,
3,
5,
5,
4,
4,
2,
5,
5,
2,
3,
4,
3,
4,
5,
3,
2,
2,
5,
5,
5,
4,
2,
4,
4,
3,
6,
6,
2,
5,
3,
4,
4,
6,
4,
2,
2,
4,
2,
4,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
4,
3,
3,
2,
2,
3,
4,
4,
2,
3,
2,
2,
4,
2,
2,
4,
3,
5,
2,
3,
2,
3,
3,
2,
2,
5,
4,
3,
4,
5,
4,
5,
3,
2,
2,
2,
4,
3,
3,
4,
4,
3,
2,
3,
4,
2,
2,
3,
3,
4,
4,
3,
4,
3,
4,
5,
3,
3,
3,
4,
3,
2,
2,
4,
3,
6,
2,
2,
3,
3,
2,
3,
3,
4,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
3,
3,
5,
4,
4,
2,
4,
4,
5,
2,
7,
4,
2,
3,
3,
4,
4,
3,
4,
4,
5,
2,
4,
2,
5,
2,
4,
2,
3,
3,
4,
5,
2,
2,
3,
4,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
3,
4,
2,
3,
4,
5,
4,
3,
2,
2,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
4,
4,
2,
4,
3,
2,
3,
4,
4,
3,
3,
5,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
2,
1,
3,
6,
4,
4,
4,
4,
5,
2,
4,
3,
4,
2,
2,
3,
3,
3,
2,
3,
2,
3,
2,
3,
3,
3,
3,
6,
4,
7,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
4,
3,
3,
3,
2,
5,
5,
2,
2,
4,
2,
3,
2,
2,
3,
3,
3,
2,
3,
2,
4,
2,
2,
3,
4,
2,
4,
4,
4,
4,
4,
2,
2,
3,
5,
2,
5,
4,
3,
2,
3,
2,
4,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
4,
4,
2,
4,
4,
4,
4,
5,
4,
7,
3,
2,
2,
5,
4,
5,
4,
4,
2,
3,
3,
2,
5,
2,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
2,
3,
3,
3,
3,
2,
3,
2,
2,
3,
1,
1,
2,
4,
3,
3,
2,
5,
3,
3,
3,
3,
3,
5,
2,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
3,
4,
3,
2,
5,
2,
6,
2,
4,
3,
2,
1,
2,
2,
2,
2,
3,
3,
3,
3,
4,
3,
2,
3,
3,
4,
4,
4,
5,
3,
3,
5,
4,
2,
3,
4,
8,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
5,
2,
2,
2,
2,
3,
2,
2,
2,
3,
4,
5,
3,
4,
4,
3,
2,
4,
4,
3,
2,
2,
3,
3,
3,
2,
3,
5,
2,
2,
2,
2,
2,
2,
6,
4,
3,
4,
2,
3,
3,
3,
4,
3,
4,
4,
1,
1,
4,
4,
4,
3,
2,
4,
3,
5,
4,
4,
2,
2,
4,
2,
2,
4,
5,
1,
4,
4,
4,
4,
3,
3,
2,
2,
4,
5,
4,
7,
4,
4,
3,
6,
5,
3,
5,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
7,
2,
4,
2,
3,
4,
3,
4,
2,
2,
3,
4,
3,
2,
4,
2,
4,
4,
4,
4,
3,
3,
3,
3,
2,
4,
4,
4,
4,
5,
3,
5,
3,
4,
4,
4,
4,
4,
2,
2,
4,
2,
2,
4,
3,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
3,
4,
4,
2,
3,
4,
4,
5,
5,
4,
2,
4,
2,
4,
4,
2,
4,
4,
3,
9,
5,
2,
5,
4,
4,
3,
2,
2,
2,
4,
5,
5,
3,
1,
4,
2,
2,
3,
4,
4,
4,
4,
2,
7,
5,
7,
6,
2,
2,
2,
2,
3,
3,
5,
4,
4,
3,
3,
3,
2,
2,
1,
3,
4,
3,
4,
4,
4,
6,
4,
5,
4,
2,
4,
3,
2,
4,
2,
3,
3,
3,
2,
2,
2,
2,
6,
4,
4,
7,
3,
4,
6,
3,
4,
5,
5,
3,
3,
2,
5,
2,
2,
2,
2,
3,
4,
4,
4,
5,
3,
3,
2,
3,
3,
2,
3,
3,
2,
3,
4,
2,
2,
2,
2,
3,
4,
2,
3,
2,
4,
2,
4,
2,
4,
3,
4,
3,
4,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
6,
5,
5,
5,
5,
5,
5,
5,
3,
4,
4,
3,
5,
5,
2,
4,
3,
3,
3,
3,
3,
4,
3,
3,
3,
5,
1,
3,
1,
2,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
1,
2,
2,
2,
2,
2,
3,
4,
6,
6,
3,
4,
2,
2,
2,
2,
2,
3,
2,
4,
3,
4,
5,
4,
4,
3,
4,
4,
4,
2,
5,
3,
3,
3,
4,
3,
5,
3,
3,
2,
2,
4,
4,
4,
3,
4,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
6,
7,
8,
5,
4,
4,
4,
7,
4,
6,
3,
4,
4,
4,
4,
2,
3,
3,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
5,
4,
3,
4,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
2,
4,
4,
3,
3,
3,
3,
2,
4,
2,
2,
3,
3,
3,
4,
6,
4,
2,
4,
2,
2,
3,
4,
3,
4,
2,
2,
3,
5,
1,
2,
4,
2,
4,
5,
4,
2,
2,
2,
2,
2,
2,
3,
4,
2,
4,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
5,
5,
4,
3,
4,
4,
3,
6,
3,
3,
5,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
5,
5,
7,
5,
3,
2,
3,
2,
3,
4,
4,
2,
3,
3,
2,
3,
4,
4,
3,
2,
3,
4,
3,
4,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
4,
3,
2,
2,
4,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
6,
4,
4,
2,
3,
3,
2,
3,
2,
4,
3,
2,
3,
2,
3,
3,
3,
2,
4,
3,
3,
6,
6,
4,
4,
2,
4,
5,
4,
2,
2,
3,
3,
3,
4,
4,
3,
3,
3,
5,
7,
7,
2,
5,
4,
2,
2,
4,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
3,
2,
1,
4,
3,
3,
2,
3,
2,
2,
2,
3,
1,
3,
1,
5,
3,
3,
2,
2,
3,
4,
3,
3,
6,
9,
4,
4,
4,
3,
4,
4,
2,
3,
3,
3,
3,
6,
7,
4,
4,
5,
4,
4,
5,
2,
3,
3,
4,
4,
2,
5,
4,
3,
3,
2,
2,
4,
4,
3,
3,
2,
4,
3,
4,
3,
1,
5,
3,
5,
2,
2,
4,
4,
4,
5,
4,
3,
4,
4,
3,
2,
2,
2,
3,
4,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
2,
5,
5,
4,
4,
2,
4,
4,
4,
4,
2,
5,
4,
3,
4,
2,
4,
4,
2,
2,
4,
2,
4,
4,
4,
4,
4,
2,
4,
3,
4,
3,
5,
3,
6,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
5,
5,
7,
3,
4,
3,
3,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
3,
2,
4,
2,
3,
4,
5,
4,
4,
4,
3,
2,
2,
2,
2,
7,
3,
2,
3,
4,
1,
1,
6,
4,
4,
4,
5,
3,
4,
1,
1,
2,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
2,
4,
2,
4,
3,
2,
3,
3,
2,
2,
3,
4,
3,
3,
5,
2,
4,
7,
3,
5,
4,
4,
4,
4,
4,
4,
2,
2,
1,
2,
2,
4,
4,
3,
3,
2,
3,
4,
3,
4,
4,
3,
3,
2,
3,
2,
2,
3,
2,
2,
3,
3,
2,
3,
4,
3,
6,
3,
3,
2,
3,
4,
3,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
4,
5,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
2,
3,
4,
4,
3,
7,
3,
3,
3,
2,
3,
4,
3,
2,
4,
2,
4,
2,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
4,
3,
7,
7,
7,
4,
2,
3,
3,
2,
4,
7,
5,
5,
4,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
5,
6,
2,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
2,
3,
2,
3,
4,
7,
4,
3,
4,
4,
6,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
3,
3,
2,
2,
2,
4,
2,
3,
2,
2,
4,
2,
2,
3,
5,
7,
3,
5,
5,
4,
4,
2,
3,
2,
5,
5,
3,
3,
2,
4,
2,
3,
2,
3,
2,
2,
2,
4,
4,
4,
7,
4,
4,
3,
1,
4,
2,
2,
4,
2,
2,
4,
2,
5,
2,
3,
2,
4,
4,
4,
3,
4,
3,
3,
2,
3,
3,
3,
3,
5,
3,
3,
3,
3,
2,
2,
3,
2,
6,
7,
4,
4,
4,
2,
4,
2,
4,
4,
4,
2,
3,
2,
2,
4,
3,
2,
4,
2,
3,
4,
2,
3,
3,
3,
4,
2,
2,
2,
2,
3,
3,
3,
5,
3,
5,
3,
3,
4,
3,
2,
4,
2,
2,
3,
3,
2,
3,
3,
3,
3,
5,
3,
5,
4,
4,
4,
2,
3,
3,
2,
2,
3,
2,
1,
5,
4,
3,
2,
3,
4,
2,
4,
3,
4,
4,
4,
3,
4,
3,
3,
1,
2,
3,
3,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
5,
2,
7,
5,
2,
4,
4,
4,
4,
2,
2,
4,
3,
4,
3,
4,
2,
2,
4,
5,
3,
4,
4,
2,
3,
2,
2,
4,
2,
4,
2,
2,
3,
3,
3,
2,
5,
3,
2,
3,
3,
3,
3,
4,
3,
3,
4,
3,
4,
3,
5,
4,
2,
4,
6,
4,
4,
2,
2,
4,
2,
2,
5,
2,
2,
3,
3,
2,
2,
3,
4,
4,
4,
2,
3,
4,
4,
2,
4,
4,
3,
3,
2,
4,
3,
2,
2,
4,
5,
4,
2,
2,
2,
2,
4,
7,
5,
3,
2,
3,
3,
4,
5,
3,
2,
2,
1,
2,
2,
2,
1,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
5,
5,
4,
3,
4,
4,
4,
4,
7,
4,
5,
3,
4,
4,
2,
4,
4,
2,
3,
2,
2,
2,
2,
2,
3,
1,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
3,
4,
3,
4,
5,
3,
4,
4,
3,
2,
3,
5,
5,
3,
5,
5,
4,
4,
4,
4,
3,
3,
2,
3,
3,
7,
4,
4,
4,
2,
2,
3,
4,
4,
3,
3,
4,
4,
4,
4,
2,
4,
3,
4,
2,
2,
1,
2,
2,
6,
5,
2,
5,
3,
3,
2,
4,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
5,
4,
3,
4,
4,
4,
6,
2,
1,
2,
2,
2,
5,
4,
3,
3,
2,
2,
4,
3,
4,
6,
4,
2,
4,
4,
4,
4,
3,
2,
4,
5,
4,
4,
6,
4,
4,
5,
2,
4,
3,
4,
4,
3,
2,
2,
4,
2,
2,
3,
3,
3,
4,
4,
4,
4,
3,
3,
3,
4,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
3,
3,
3,
5,
4,
2,
4,
4,
2,
3,
5,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
4,
3,
3,
5,
4,
4,
2,
2,
2,
2,
3,
4,
4,
4,
2,
4,
2,
2,
4,
4,
4,
4,
2,
4,
2,
3,
3,
2,
3,
3,
4,
4,
3,
3,
4,
5,
3,
2,
2,
4,
4,
5,
4,
4,
2,
2,
3,
4,
4,
4,
4,
2,
2,
4,
4,
4,
2,
3,
4,
3,
2,
3,
4,
4,
4,
3,
4,
4,
6,
3,
4,
4,
4,
2,
2,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
3,
3,
4,
4,
4,
2,
4,
2,
5,
4,
6,
5,
8,
2,
2,
2,
2,
4,
3,
7,
2,
4,
3,
4,
4,
4,
3,
2,
3,
2,
2,
3,
5,
5,
5,
2,
6,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
3,
4,
3,
4,
4,
4,
2,
2,
4,
4,
2,
4,
3,
6,
5,
6,
4,
2,
3,
3,
3,
3,
4,
2,
4,
4,
5,
4,
3,
4,
3,
2,
3,
3,
3,
3,
2,
3,
3,
2,
3,
4,
5,
5,
5,
2,
2,
2,
2,
1,
3,
4,
2,
2,
4,
3,
3,
4,
2,
2,
3,
2,
2,
4,
2,
6,
3,
3,
2,
2,
4,
1,
4,
4,
2,
2,
4,
3,
4,
2,
2,
3,
2,
3,
5,
3,
3,
4,
3,
4,
3,
3,
4,
3,
2,
4,
3,
3,
2,
3,
3,
4,
2,
3,
2,
5,
4,
2,
5,
3,
2,
2,
2,
3,
6,
3,
3,
3,
7,
4,
4,
3,
3,
4,
4,
3,
6,
4,
3,
2,
2,
4,
2,
2,
2,
2,
5,
4,
1,
6,
2,
3,
3,
4,
3,
3,
4,
4,
2,
2,
4,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
4,
4,
4,
3,
3,
3,
7,
3,
5,
3,
4,
3,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
5,
3,
4,
2,
4,
2,
4,
4,
3,
2,
3,
3,
5,
3,
2,
2,
2,
2,
2,
4,
3,
3,
3,
2,
2,
2,
6,
8,
2,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
4,
4,
3,
4,
4,
4,
4,
4,
3,
2,
4,
2,
4,
4,
3,
3,
3,
2,
4,
2,
4,
4,
3,
2,
5,
3,
3,
2,
2,
2,
3,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
3,
4,
5,
4,
4,
4,
2,
2,
2,
4,
2,
1,
5,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
1,
2,
5,
2,
2,
6,
3,
3,
3,
6,
6,
2,
4,
2,
3,
3,
4,
2,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
2,
5,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
3,
4,
2,
6,
7,
4,
4,
4,
4,
2,
4,
2,
2,
5,
2,
5,
2,
4,
5,
4,
7,
4,
3,
4,
4,
4,
4,
3,
4,
4,
3,
4,
4,
4,
2,
4,
2,
5,
4,
3,
3,
2,
2,
2,
3,
3,
1,
3,
2,
2,
4,
3,
4,
3,
3,
4,
2,
3,
2,
2,
2,
3,
3,
2,
3,
5,
2,
4,
4,
4,
3,
3,
3,
3,
4,
1,
2,
3,
4,
4,
4,
5,
5,
5,
4,
3,
5,
5,
4,
2,
2,
4,
4,
4,
3,
4,
3,
4,
5,
3,
3,
3,
3,
4,
3,
4,
2,
2,
3,
2,
3,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
3,
4,
4,
4,
3,
2,
4,
2,
6,
3,
6,
3,
2,
5,
5,
5,
3,
3,
6,
6,
2,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
4,
4,
4,
2,
4,
4,
2,
4,
5,
4,
4,
2,
2,
4,
4,
4,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
2,
2,
2,
6,
2,
2,
3,
3,
3,
3,
4,
2,
3,
2,
2,
4,
3,
3,
2,
2,
2,
4,
6,
2,
2,
4,
3,
3,
2,
5,
3,
4,
4,
4,
2,
4,
3,
4,
4,
4,
3,
3,
4,
4,
3,
4,
4,
2,
2,
4,
2,
4,
4,
4,
6,
5,
4,
5,
4,
4,
4,
3,
3,
4,
2,
2,
2,
3,
2,
2,
3,
4,
4,
3,
3,
4,
3,
3,
2,
4,
3,
4,
2,
3,
3,
3,
3,
3,
3,
6,
3,
3,
5,
3,
3,
3,
2,
4,
6,
2,
2,
2,
2,
4,
4,
2,
2,
2,
3,
2,
3,
6,
4,
5,
5,
3,
2,
4,
3,
2,
2,
2,
3,
3,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
7,
2,
6,
5,
4,
3,
2,
2,
3,
3,
3,
4,
4,
5,
3,
2,
4,
4,
3,
3,
3,
2,
4,
3,
5,
4,
2,
2,
4,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
4,
3,
3,
4,
3,
2,
3,
2,
2,
2,
3,
3,
4,
1,
2,
3,
3,
4,
4,
3,
6,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
8,
3,
3,
2,
6,
3,
3,
2,
4,
2,
2,
2,
3,
2,
4,
6,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
3,
2,
4,
2,
4,
6,
3,
2,
3,
4,
4,
2,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
4,
3,
2,
2,
2,
3,
2,
4,
4,
4,
4,
5,
4,
3,
4,
4,
4,
4,
3,
4,
5,
4,
4,
6,
4,
4,
2,
4,
3,
4,
4,
4,
4,
2,
4,
2,
4,
3,
3,
3,
2,
3,
4,
3,
2,
5,
3,
6,
4,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
6,
3,
7,
5,
4,
4,
2,
3,
4,
4,
4,
4,
2,
3,
3,
2,
4,
2,
2,
4,
3,
3,
2,
1,
3,
3,
3,
1,
3,
3,
3,
3,
4,
4,
3,
4,
3,
2,
2,
4,
3,
6,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
2,
2,
4,
3,
2,
3,
3,
5,
5,
4,
2,
4,
4,
4,
4,
2,
3,
2,
4,
3,
2,
3,
5,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
2,
1,
2,
3,
3,
4,
4,
4,
3,
2,
6,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
6,
3,
3,
4,
4,
2,
2,
3,
8,
5,
2,
3,
3,
6,
6,
4,
3,
3,
3,
2,
3,
3,
5,
4,
5,
5,
3,
4,
3,
3,
4,
2,
2,
4,
3,
4,
4,
4,
5,
3,
3,
5,
5,
4,
4,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
6,
4,
3,
2,
3,
3,
5,
4,
4,
4,
3,
3,
3,
3,
6,
4,
4,
5,
4,
2,
2,
2,
3,
4,
3,
4,
2,
4,
2,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
4,
2,
5,
2,
3,
4,
4,
4,
3,
3,
2,
4,
4,
7,
2,
3,
4,
4,
3,
2,
4,
2,
2,
4,
2,
5,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
5,
4,
1,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
2,
1,
4,
4,
5,
4,
2,
4,
2,
4,
3,
2,
4,
3,
4,
4,
4,
3,
2,
2,
3,
1,
3,
3,
3,
3,
3,
3,
1,
2,
3,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
3,
4,
6,
3,
4,
2,
4,
3,
4,
4,
5,
5,
5,
2,
5,
3,
3,
9,
5,
5,
5,
3,
2,
3,
3,
3,
3,
4,
4,
2,
2,
1,
3,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
6,
4,
4,
2,
4,
5,
4,
2,
3,
3,
2,
2,
1,
2,
3,
3,
3,
4,
2,
4,
2,
4,
4,
4,
3,
3,
5,
4,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
5,
2,
2,
2,
2,
3,
2,
4,
4,
3,
2,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
3,
2,
3,
3,
4,
3,
4,
2,
2,
4,
3,
3,
2,
4,
4,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
3,
4,
5,
4,
3,
2,
2,
4,
2,
2,
2,
4,
3,
4,
1,
2,
2,
2,
2,
4,
4,
4,
2,
4,
6,
4,
6,
4,
3,
3,
3,
2,
3,
4,
2,
3,
2,
2,
4,
4,
4,
3,
4,
3,
4,
2,
4,
3,
5,
5,
4,
2,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
5,
2,
2,
4,
4,
4,
4,
2,
2,
4,
2,
3,
3,
4,
3,
2,
3,
2,
3,
2,
3,
3,
4,
3,
2,
4,
4,
4,
2,
4,
2,
4,
4,
3,
5,
5,
3,
4,
2,
2,
2,
2,
2,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
3,
3,
4,
4,
5,
2,
1,
3,
3,
4,
2,
3,
2,
2,
3,
3,
2,
3,
2,
3,
2,
4,
4,
8,
2,
4,
2,
4,
2,
4,
4,
4,
2,
3,
3,
4,
5,
5,
3,
3,
3,
4,
2,
3,
3,
3,
5,
4,
3,
2,
1,
4,
4,
3,
2,
2,
2,
4,
3,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
3,
3,
4,
5,
5,
4,
4,
4,
4,
3,
3,
2,
2,
2,
4,
4,
4,
2,
2,
3,
2,
3,
3,
4,
3,
4,
4,
4,
3,
4,
2,
2,
3,
2,
3,
3,
1,
2,
3,
2,
4,
4,
4,
4,
2,
3,
2,
4,
4,
2,
4,
3,
5,
5,
2,
3,
3,
3,
4,
2,
3,
3,
4,
10,
4,
4,
7,
4,
3,
4,
6,
2,
3,
3,
2,
4,
5,
1,
4,
2,
3,
3,
4,
4,
2,
4,
3,
2,
2,
2,
3,
2,
2,
4,
4,
5,
2,
4,
3,
3,
3,
2,
3,
4,
3,
5,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
5,
11,
3,
3,
5,
2,
3,
2,
2,
3,
3,
3,
4,
2,
3,
2,
2,
2,
5,
3,
4,
3,
3,
3,
2,
3,
3,
3,
3,
3,
5,
4,
3,
5,
4,
2,
3,
2,
2,
5,
5,
2,
4,
3,
4,
4,
2,
4,
5,
4,
5,
5,
5,
4,
5,
5,
5,
3,
3,
4,
2,
4,
4,
2,
2,
2,
4,
10,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
6,
6,
5,
4,
4,
4,
4,
3,
4,
3,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
4,
4,
3,
5,
4,
4,
4,
4,
2,
2,
4,
2,
2,
3,
2,
3,
3,
4,
4,
2,
2,
4,
5,
6,
4,
4,
4,
4,
4,
4,
2,
2,
4,
1,
3,
6,
4,
2,
7,
7,
2,
2,
4,
4,
5,
4,
3,
2,
2,
3,
3,
3,
4,
2,
4,
4,
4,
3,
4,
3,
1,
3,
4,
2,
2,
2,
2,
3,
4,
5,
4,
3,
2,
2,
2,
4,
3,
3,
3,
3,
5,
2,
2,
2,
2,
2,
3,
3,
1,
2,
2,
2,
0,
2,
4,
4,
2,
6,
4,
4,
2,
2,
2,
2,
5,
2,
4,
4,
6,
4,
2,
2,
4,
2,
2,
4,
4,
4,
4,
3,
4,
4,
2,
3,
2,
3,
2,
2,
3,
3,
5,
2,
2,
4,
2,
4,
3,
3,
2,
3,
4,
3,
4,
2,
4,
4,
2,
2,
2,
3,
3,
3,
3,
4,
4,
4,
7,
3,
4,
3,
4,
3,
6,
2,
2,
4,
1,
2,
2,
4,
3,
2,
2,
3,
3,
3,
2,
3,
4,
4,
2,
4,
4,
2,
4,
3,
3,
4,
3,
5,
3,
2,
3,
4,
4,
3,
4,
4,
3,
3,
3,
5,
3,
3,
3,
3,
4,
2,
4,
3,
4,
4,
4,
4,
4,
5,
4,
3,
5,
4,
8,
4,
3,
2,
3,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
2,
3,
2,
4,
5,
4,
4,
2,
3,
3,
5,
2,
7,
2,
4,
3,
4,
4,
2,
4,
4,
4,
2,
4,
4,
4,
2,
4,
3,
4,
4,
4,
4,
2,
4,
4,
2,
4,
3,
4,
2,
2,
2,
3,
4,
2,
4,
6,
2,
3,
3,
3,
3,
5,
4,
2,
4,
4,
3,
4,
4,
2,
2,
4,
4,
2,
3,
2,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
5,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
4,
4,
4,
2,
2,
2,
3,
2,
3,
3,
2,
2,
7,
4,
3,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
3,
3,
3,
2,
2,
2,
1,
2,
2,
3,
2,
3,
2,
4,
3,
4,
3,
2,
2,
3,
2,
6,
6,
5,
4,
3,
3,
3,
3,
3,
3,
5,
3,
5,
3,
5,
5,
2,
4,
3,
3,
2,
5,
4,
5,
6,
4,
4,
4,
3,
4,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
3,
4,
2,
4,
5,
5,
4,
4,
4,
4,
4,
5,
2,
7,
2,
4,
3,
3,
4,
4,
3,
6,
3,
6,
6,
4,
4,
2,
1,
4,
2,
2,
2,
2,
2,
2,
3,
3,
5,
3,
3,
4,
4,
4,
2,
2,
2,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
3,
5,
3,
3,
4,
3,
3,
3,
2,
4,
3,
5,
4,
3,
4,
2,
2,
4,
4,
3,
3,
3,
2,
2,
2,
4,
4,
6,
5,
5,
5,
4,
4,
4,
4,
4,
1,
4,
4,
5,
4,
2,
3,
2,
7,
6,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
4,
5,
4,
2,
5,
2,
4,
3,
3,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
3,
3,
4,
4,
3,
3,
1,
3,
3,
2,
1,
2,
6,
4,
4,
4,
4,
2,
4,
3,
4,
2,
4,
4,
2,
4,
6,
7,
4,
4,
4,
7,
8,
4,
4,
4,
3,
2,
4,
1,
3,
3,
2,
2,
2,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
1,
5,
3,
4,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
2,
4,
5,
3,
2,
4,
4,
4,
2,
2,
3,
5,
3,
3,
4,
2,
4,
3,
2,
2,
3,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
2,
2,
5,
4,
3,
3,
5,
3,
5,
4,
5,
2,
5,
4,
2,
2,
3,
4,
4,
3,
4,
6,
2,
3,
7,
2,
3,
4,
4,
3,
2,
4,
2,
4,
4,
4,
3,
4,
4,
4,
2,
3,
3,
3,
3,
3,
2,
2,
4,
3,
3,
2,
3,
4,
3,
4,
4,
3,
2,
3,
4,
3,
3,
2,
4,
4,
2,
3,
2,
2,
4,
3,
2,
2,
2,
4,
2,
3,
4,
6,
4,
6,
4,
4,
2,
3,
4,
2,
2,
4,
3,
2,
2,
2,
2,
5,
3,
2,
2,
4,
2,
4,
2,
5,
2,
4,
4,
4,
2,
2,
3,
2,
2,
3,
3,
1,
2,
3,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
4,
5,
4,
4,
4,
4,
2,
5,
4,
4,
4,
2,
4,
2,
2,
2,
3,
2,
3,
3,
2,
4,
4,
4,
4,
4,
1,
5,
4,
4,
3,
4,
4,
2,
2,
6,
2,
7,
3,
3,
3,
3,
2,
4,
3,
2,
2,
2,
3,
4,
3,
2,
3,
2,
3,
3,
3,
3,
4,
5,
3,
6,
3,
5,
5,
2,
2,
4,
3,
2,
2,
1,
4,
2,
3,
5,
4,
5,
4,
2,
3,
8,
8,
2,
4,
6,
6,
3,
6,
5,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
5,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
1,
2,
2,
2,
2,
2,
3,
3,
5,
2,
2,
4,
4,
2,
2,
4,
2,
1,
2,
3,
3,
3,
4,
4,
3,
3,
2,
2,
1,
3,
1,
1,
1,
3,
1,
1,
1,
4,
1,
4,
2,
4,
4,
4,
4,
3,
3,
2,
4,
4,
4,
4,
4,
2,
4,
2,
3,
6,
4,
2,
6,
2,
2,
6,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
4,
2,
1,
2,
2,
3,
4,
4,
1,
3,
3,
4,
5,
2,
3,
2,
2,
3,
2,
3,
3,
3,
3,
3,
4,
2,
3,
2,
3,
3,
4,
4,
2,
3,
2,
2,
3,
4,
4,
3,
4,
4,
6,
2,
2,
4,
3,
4,
4,
4,
3,
4,
5,
3,
2,
5,
4,
2,
3,
5,
3,
3,
4,
2,
2,
4,
2,
4,
4,
4,
3,
1,
2,
2,
3,
2,
2,
2,
2,
4,
4,
3,
4,
3,
2,
4,
4,
4,
5,
4,
4,
4,
4,
2,
4,
2,
2,
3,
4,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
2,
5,
3,
5,
4,
4,
4,
3,
3,
4,
4,
4,
3,
4,
4,
7,
2,
3,
5,
5,
4,
3,
4,
4,
2,
2,
5,
2,
3,
3,
3,
5,
3,
4,
2,
4,
1,
4,
4,
2,
2,
2,
3,
2,
4,
4,
2,
4,
2,
2,
5,
4,
3,
5,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
1,
4,
2,
2,
3,
2,
4,
4,
2,
4,
3,
4,
4,
3,
3,
3,
7,
3,
3,
3,
3,
2,
3,
2,
4,
2,
2,
2,
2,
3,
4,
2,
3,
4,
2,
4,
2,
4,
4,
2,
2,
3,
2,
1,
2,
2,
2,
4,
4,
5,
2,
4,
2,
2,
3,
4,
4,
4,
4,
4,
6,
3,
4,
4,
4,
4,
3,
3,
7,
3,
3,
8,
2,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
4,
2,
7,
3,
2,
4,
2,
5,
3,
3,
3,
2,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
7,
2,
3,
2,
5,
4,
2,
3,
4,
4,
3,
2,
2,
2,
3,
4,
4,
4,
4,
6,
6,
5,
3,
4,
5,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
2,
5,
2,
4,
4,
4,
3,
2,
3,
3,
2,
3,
1,
2,
3,
4,
3,
3,
3,
3,
4,
3,
4,
2,
3,
4,
2,
3,
3,
4,
2,
3,
2,
2,
3,
3,
3,
4,
4,
3,
3,
2,
3,
2,
4,
6,
6,
3,
3,
3,
5,
4,
3,
4,
5,
5,
4,
2,
2,
4,
4,
3,
6,
4,
4,
4,
4,
4,
2,
3,
7,
2,
3,
2,
2,
4,
5,
5,
3,
2,
2,
2,
3,
3,
4,
2,
2,
3,
3,
3,
3,
2,
5,
3,
5,
4,
2,
2,
3,
4,
2,
3,
4,
4,
2,
4,
3,
2,
6,
2,
4,
3,
4,
2,
2,
2,
3,
2,
3,
4,
4,
2,
4,
4,
2,
4,
4,
4,
3,
3,
1,
3,
2,
2,
2,
2,
3,
4,
3,
4,
4,
2,
3,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
4,
2,
4,
2,
2,
2,
5,
7,
5,
2,
4,
4,
4,
4,
4,
3,
4,
4,
3,
6,
5,
3,
2,
2,
4,
4,
4,
4,
2,
3,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
7,
2,
3,
4,
4,
3,
4,
3,
4,
2,
4,
2,
2,
2,
2,
2,
5,
4,
4,
4,
4,
3,
2,
2,
2,
5,
2,
4,
3,
3,
4,
3,
3,
3,
5,
4,
4,
4,
4,
4,
5,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
2,
4,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
3,
1,
3,
2,
4,
2,
5,
4,
2,
6,
2,
2,
2,
2,
2,
3,
3,
6,
4,
4,
4,
2,
6,
7,
4,
4,
3,
4,
4,
4,
4,
2,
3,
4,
4,
3,
4,
2,
3,
2,
2,
3,
3,
4,
3,
4,
4,
4,
4,
2,
2,
3,
4,
2,
5,
5,
5,
3,
4,
3,
2,
5,
5,
2,
2,
4,
4,
4,
2,
3,
2,
3,
2,
2,
4,
4,
3,
7,
4,
4,
4,
3,
4,
3,
2,
2,
2,
3,
3,
3,
3,
3,
4,
4,
3,
4,
4,
4,
2,
4,
2,
2,
2,
4,
5,
4,
4,
3,
4,
4,
4,
3,
4,
9,
4,
4,
4,
4,
2,
2,
4,
4,
4,
2,
3,
4,
4,
4,
4,
4,
4,
4,
1,
4,
2,
3,
3,
4,
2,
2,
3,
4,
4,
2,
4,
2,
4,
4,
4,
2,
3,
3,
3,
3,
2,
2,
2,
3,
2,
3,
2,
2,
3,
3,
5,
3,
3,
4,
3,
4,
3,
3,
2,
3,
3,
3,
4,
4,
3,
3,
2,
2,
2,
3,
2,
2,
1,
2,
3,
6,
6,
3,
3,
3,
3,
3,
2,
5,
5,
2,
2,
3,
3,
3,
2,
3,
3,
3,
2,
4,
3,
4,
5,
5,
2,
4,
3,
2,
2,
2,
3,
3,
3,
2,
5,
2,
2,
4,
4,
3,
3,
2,
4,
5,
4,
5,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
4,
4,
3,
3,
3,
4,
4,
2,
3,
5,
1,
1,
1,
1,
1,
5,
3,
3,
3,
2,
3,
1,
3,
4,
6,
3,
4,
3,
3,
8,
4,
4,
4,
7,
6,
4,
5,
3,
2,
5,
3,
4,
5,
2,
3,
3,
2,
2,
2,
1,
4,
2,
2,
5,
5,
5,
4,
3,
3,
3,
4,
4,
2,
3,
2,
2,
4,
3,
4,
4,
2,
4,
4,
3,
3,
4,
3,
3,
4,
3,
4,
1,
4,
4,
3,
5,
2,
3,
2,
4,
2,
5,
5,
3,
4,
5,
5,
3,
4,
3,
2,
4,
2,
6,
2,
4,
4,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
6,
3,
4,
2,
4,
4,
2,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
5,
5,
5,
5,
2,
2,
2,
2,
3,
3,
2,
4,
3,
3,
3,
2,
4,
4,
4,
5,
4,
3,
2,
2,
4,
2,
2,
4,
4,
3,
3,
3,
4,
4,
2,
4,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
7,
2,
2,
3,
6,
4,
2,
4,
4,
4,
5,
3,
3,
4,
4,
2,
5,
2,
4,
3,
4,
2,
2,
5,
3,
2,
4,
2,
2,
4,
4,
3,
3,
4,
3,
2,
2,
2,
2,
4,
2,
2,
4,
4,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
4,
2,
5,
6,
4,
6,
4,
2,
5,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
4,
3,
4,
4,
5,
3,
5,
4,
5,
4,
5,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
4,
3,
4,
2,
2,
4,
5,
4,
6,
6,
4,
3,
4,
2,
3,
3,
3,
4,
1,
4,
4,
5,
4,
4,
6,
3,
4,
5,
6,
4,
7,
2,
4,
2,
4,
3,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
4,
2,
2,
4,
4,
2,
2,
3,
4,
4,
5,
6,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
5,
4,
4,
4,
4,
4,
3,
2,
2,
4,
4,
4,
2,
2,
4,
2,
4,
3,
4,
4,
4,
3,
4,
4,
3,
3,
4,
4,
1,
2,
1,
4,
1,
3,
3,
2,
2,
4,
7,
2,
2,
2,
2,
4,
4,
4,
1,
4,
3,
3,
3,
3,
3,
3,
3,
7,
3,
2,
3,
3,
3,
4,
4,
3,
3,
3,
4,
2,
4,
2,
4,
3,
1,
2,
2,
2,
3,
4,
3,
4,
4,
5,
5,
5,
4,
4,
5,
5,
6,
3,
2,
5,
6,
4,
5,
5,
5,
5,
5,
4,
4,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
5,
5,
4,
4,
4,
2,
3,
2,
4,
3,
4,
4,
4,
2,
2,
4,
4,
4,
2,
1,
2,
3,
2,
3,
3,
5,
2,
6,
2,
3,
3,
4,
4,
5,
4,
4,
2,
5,
4,
3,
2,
3,
4,
3,
4,
4,
5,
2,
2,
2,
3,
2,
2,
2,
5,
3,
6,
3,
2,
4,
4,
5,
2,
5,
3,
3,
3,
2,
3,
3,
4,
3,
5,
4,
5,
3,
5,
4,
2,
2,
4,
3,
5,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
3,
2,
4,
3,
5,
4,
3,
2,
3,
3,
4,
3,
3,
5,
3,
4,
5,
2,
3,
4,
3,
3,
2,
5,
2,
3,
2,
4,
5,
3,
5,
3,
3,
3,
3,
3,
3,
5,
3,
3,
4,
4,
4,
3,
2,
2,
3,
2,
2,
4,
3,
4,
6,
3,
5,
4,
2,
4,
4,
6,
2,
4,
4,
4,
8,
3,
3,
4,
5,
2,
3,
4,
4,
4,
4,
3,
4,
6,
2,
5,
5,
5,
6,
4,
4,
2,
4,
3,
2,
2,
2,
1,
2,
2,
4,
4,
3,
3,
3,
3,
4,
2,
3,
2,
2,
2,
4,
3,
6,
6,
5,
4,
6,
4,
4,
4,
4,
3,
2,
2,
3,
4,
5,
3,
2,
3,
2,
3,
1,
2,
3,
3,
2,
6,
4,
4,
3,
2,
3,
3,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
4,
5,
2,
5,
3,
2,
6,
8,
3,
2,
2,
2,
3,
2,
3,
3,
3,
2,
3,
3,
2,
2,
3,
2,
2,
2,
5,
4,
2,
4,
3,
3,
4,
4,
4,
2,
4,
2,
2,
3,
3,
2,
5,
4,
2,
4,
4,
2,
3,
2,
5,
3,
4,
4,
3,
4,
4,
4,
3,
3,
2,
4,
4,
3,
3,
3,
1,
4,
2,
4,
4,
4,
5,
2,
3,
3,
4,
4,
4,
3,
4,
4,
2,
2,
4,
5,
2,
2,
2,
5,
5,
1,
2,
5,
5,
6,
3,
2,
2,
2,
2,
5,
2,
2,
3,
4,
4,
3,
4,
8,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
4,
4,
3,
3,
3,
2,
2,
4,
4,
4,
4,
3,
4,
5,
5,
3,
4,
2,
2,
6,
3,
2,
2,
2,
5,
3,
6,
4,
2,
5,
2,
2,
3,
4,
4,
4,
4,
4,
3,
3,
4,
2,
2,
2,
2,
3,
3,
4,
4,
2,
3,
4,
4,
3,
4,
3,
4,
2,
3,
3,
3,
5,
4,
6,
4,
4,
4,
1,
1,
3,
3,
3,
2,
2,
3,
2,
2,
4,
6,
2,
3,
4,
3,
5,
3,
5,
3,
2,
6,
5,
5,
2,
4,
2,
4,
4,
4,
6,
4,
2,
6,
6,
3,
3,
2,
4,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
5,
2,
2,
4,
3,
3,
4,
5,
3,
4,
3,
1,
4,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
4,
4,
6,
2,
2,
3,
3,
4,
2,
4,
3,
2,
3,
3,
3,
4,
2,
2,
4,
4,
4,
4,
3,
2,
3,
2,
3,
3,
5,
2,
3,
3,
5,
4,
4,
3,
4,
4,
3,
4,
4,
4,
4,
4,
2,
5,
3,
3,
2,
2,
1,
3,
3,
3,
2,
3,
3,
4,
3,
2,
2,
2,
4,
2,
3,
1,
3,
3,
3,
3,
4,
4,
3,
3,
3,
4,
2,
2,
2,
4,
12,
6,
8,
2,
2,
2,
4,
2,
2,
4,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
4,
2,
3,
7,
2,
2,
3,
2,
3,
4,
2,
4,
5,
3,
5,
3,
2,
3,
4,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
2,
3,
3,
1,
4,
3,
3,
2,
3,
2,
2,
4,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
3,
4,
3,
2,
2,
4,
4,
2,
4,
2,
4,
4,
2,
2,
3,
2,
2,
2,
4,
3,
2,
3,
3,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
3,
4,
2,
2,
5,
2,
2,
2,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
3,
3,
4,
4,
4,
4,
2,
5,
4,
1,
2,
2,
2,
2,
3,
6,
3,
5,
8,
2,
2,
3,
4,
4,
3,
4,
2,
5,
3,
4,
4,
3,
3,
4,
6,
4,
3,
3,
3,
5,
3,
3,
4,
4,
4,
4,
5,
2,
2,
3,
2,
2,
2,
4,
5,
3,
3,
3,
3,
5,
3,
3,
3,
3,
2,
2,
2,
3,
2,
4,
4,
3,
4,
4,
4,
4,
5,
4,
2,
2,
5,
4,
2,
4,
4,
2,
2,
2,
3,
4,
4,
3,
2,
2,
3,
5,
5,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
3,
6,
4,
2,
5,
2,
3,
3,
4,
4,
3,
4,
2,
2,
3,
5,
2,
6,
4,
6,
4,
4,
4,
2,
3,
3,
4,
2,
4,
4,
3,
2,
4,
3,
3,
4,
2,
3,
2,
3,
4,
4,
2,
4,
5,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
7,
4,
4,
5,
5,
8,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
5,
4,
4,
2,
2,
2,
2,
6,
4,
4,
4,
4,
4,
2,
2,
4,
3,
4,
4,
4,
4,
3,
3,
3,
2,
2,
3,
3,
2,
7,
3,
4,
2,
6,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
3,
3,
4,
4,
5,
4,
6,
1,
3,
7,
3,
3,
2,
1,
2,
5,
5,
7,
3,
4,
4,
5,
4,
3,
3,
2,
4,
4,
2,
4,
4,
2,
2,
3,
3,
4,
5,
4,
7,
5,
6,
3,
4,
2,
2,
4,
7,
7,
3,
5,
2,
2,
4,
2,
5,
2,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
4,
2,
5,
3,
4,
2,
2,
3,
3,
2,
2,
2,
4,
4,
3,
2,
4,
2,
2,
4,
2,
4,
4,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
2,
4,
4,
4,
3,
4,
4,
2,
3,
3,
3,
4,
3,
2,
4,
3,
3,
1,
3,
3,
3,
2,
3,
7,
4,
3,
4,
2,
3,
2,
3,
2,
2,
5,
2,
3,
3,
2,
4,
2,
2,
5,
4,
4,
4,
3,
2,
3,
3,
3,
3,
2,
2,
2,
3,
2,
4,
4,
3,
4,
2,
8,
2,
2,
4,
4,
4,
2,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
4,
3,
2,
3,
3,
4,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
3,
5,
3,
4,
4,
3,
3,
4,
3,
4,
3,
4,
3,
4,
4,
4,
5,
2,
5,
4,
2,
3,
2,
2,
3,
2,
4,
4,
4,
4,
1,
2,
4,
2,
3,
3,
4,
4,
2,
2,
4,
4,
5,
7,
6,
4,
4,
5,
4,
4,
3,
2,
2,
4,
2,
4,
2,
2,
4,
2,
2,
2,
3,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
2,
3,
3,
4,
2,
4,
3,
4,
2,
3,
3,
3,
3,
6,
2,
4,
4,
2,
4,
2,
4,
3,
3,
2,
4,
2,
2,
3,
2,
4,
2,
4,
5,
3,
5,
3,
2,
2,
3,
2,
2,
3,
3,
3,
3,
2,
4,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
3,
4,
7,
4,
4,
2,
5,
2,
3,
3,
6,
6,
5,
5,
3,
2,
2,
3,
3,
3,
3,
4,
4,
2,
3,
2,
4,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
5,
2,
4,
4,
3,
2,
2,
4,
4,
4,
4,
3,
6,
6,
2,
4,
5,
3,
3,
4,
2,
2,
2,
3,
2,
2,
2,
2,
3,
3,
4,
3,
6,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
2,
3,
5,
4,
3,
3,
3,
3,
3,
3,
4,
4,
6,
4,
5,
3,
3,
3,
4,
4,
4,
4,
4,
5,
2,
4,
2,
2,
4,
4,
4,
5,
4,
4,
2,
2,
7,
4,
4,
5,
4,
3,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
4,
2,
2,
5,
4,
4,
6,
4,
2,
5,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
2,
3,
3,
2,
3,
4,
2,
4,
3,
3,
2,
2,
2,
2,
3,
4,
4,
2,
1,
4,
3,
4,
7,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
2,
4,
3,
2,
2,
3,
3,
2,
2,
3,
3,
3,
7,
4,
5,
4,
2,
3,
3,
4,
2,
4,
6,
4,
4,
2,
2,
2,
1,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
4,
7,
5,
3,
2,
2,
1,
2,
2,
4,
2,
3,
3,
4,
2,
4,
3,
4,
4,
4,
6,
4,
6,
5,
2,
2,
3,
5,
2,
2,
2,
4,
2,
8,
5,
3,
2,
5,
3,
2,
2,
4,
3,
3,
3,
3,
2,
3,
3,
5,
4,
3,
2,
2,
3,
1,
1,
2,
4,
2,
2,
3,
3,
4,
6,
4,
2,
2,
2,
2,
5,
3,
4,
5,
5,
5,
2,
2,
3,
3,
3,
3,
5,
2,
2,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
5,
4,
4,
5,
4,
4,
5,
3,
3,
4,
4,
2,
2,
9,
3,
6,
6,
3,
3,
3,
3,
4,
3,
3,
4,
4,
4,
3,
2,
4,
4,
2,
4,
2,
3,
4,
4,
3,
5,
3,
5,
3,
4,
3,
2,
2,
3,
4,
5,
4,
4,
3,
3,
2,
2,
4,
5,
3,
4,
4,
3,
2,
5,
5,
2,
2,
2,
2,
2,
4,
3,
2,
4,
2,
2,
3,
4,
5,
2,
3,
2,
2,
2,
2,
2,
2,
4,
5,
3,
2,
4,
3,
4,
3,
2,
4,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
1,
2,
4,
2,
4,
4,
2,
3,
2,
4,
4,
3,
3,
2,
4,
3,
3,
3,
3,
2,
3,
2,
3,
4,
4,
5,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
2,
3,
4,
3,
4,
2,
4,
3,
2,
2,
2,
2,
6,
4,
2,
4,
4,
3,
2,
3,
2,
2,
2,
2,
2,
1,
2,
2,
3,
3,
4,
5,
2,
1,
2,
4,
4,
3,
3,
3,
2,
2,
3,
2,
2,
2,
4,
6,
4,
3,
3,
3,
3,
3,
7,
3,
2,
2,
3,
3,
2,
2,
2,
4,
4,
3,
3,
2,
2,
3,
2,
2,
2,
3,
1,
3,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
4,
2,
6,
4,
4,
4,
2,
4,
3,
4,
4,
4,
4,
4,
3,
4,
3,
4,
4,
2,
4,
4,
4,
5,
2,
4,
4,
2,
3,
4,
4,
2,
4,
3,
4,
4,
3,
4,
3,
2,
2,
2,
2,
2,
2,
1,
6,
3,
3,
4,
4,
5,
2,
3,
4,
4,
4,
4,
3,
3,
4,
2,
4,
4,
3,
3,
3,
2,
4,
4,
2,
3,
2,
2,
2,
3,
3,
3,
2,
3,
2,
2,
4,
3,
2,
3,
4,
2,
3,
3,
2,
2,
3,
2,
3,
1,
3,
3,
3,
4,
5,
7,
6,
3,
2,
3,
3,
2,
3,
3,
2,
3,
2,
2,
2,
3,
2,
5,
2,
5,
4,
5,
4,
3,
4,
5,
3,
4,
4,
4,
4,
3,
4,
2,
2,
3,
2,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
3,
3,
3,
2,
3,
2,
2,
2,
2,
3,
4,
3,
4,
4,
4,
4,
2,
2,
3,
3,
4,
2,
3,
4,
4,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
5,
4,
4,
3,
2,
2,
3,
2,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
3,
3,
2,
1,
2,
1,
6,
5,
5,
4,
5,
2,
4,
2,
4,
5,
2,
3,
3,
4,
2,
3,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
5,
3,
2,
5,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
5,
5,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
4,
4,
5,
5,
5,
5,
3,
2,
3,
2,
2,
3,
1,
2,
3,
3,
4,
4,
4,
5,
5,
2,
4,
4,
4,
2,
3,
4,
4,
4,
2,
2,
4,
3,
3,
4,
4,
3,
3,
6,
4,
4,
4,
4,
3,
2,
2,
2,
6,
6,
2,
2,
6,
2,
2,
2,
4,
5,
4,
4,
2,
2,
4,
4,
5,
4,
6,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
3,
6,
4,
4,
2,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
3,
4,
2,
3,
5,
6,
4,
3,
3,
2,
2,
2,
4,
2,
2,
4,
4,
3,
3,
2,
1,
3,
3,
2,
2,
4,
4,
2,
2,
4,
8,
4,
2,
2,
2,
4,
2,
2,
4,
4,
2,
3,
2,
3,
5,
3,
4,
3,
5,
6,
3,
2,
4,
4,
3,
2,
2,
2,
3,
1,
2,
2,
2,
4,
3,
3,
4,
2,
4,
4,
5,
2,
2,
2,
2,
4,
4,
4,
4,
5,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
3,
2,
4,
2,
4,
4,
2,
2,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
2,
3,
3,
4,
2,
3,
4,
2,
1,
2,
2,
3,
2,
2,
2,
3,
3,
2,
2,
5,
4,
2,
2,
3,
2,
4,
2,
4,
3,
4,
4,
3,
3,
5,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
2,
2,
4,
6,
4,
4,
2,
2,
2,
2,
2,
2,
1,
4,
3,
5,
3,
5,
4,
2,
2,
2,
2,
3,
4,
3,
2,
2,
4,
4,
5,
4,
3,
3,
3,
5,
5,
3,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
6,
2,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
2,
2,
2,
2,
2,
5,
3,
3,
4,
3,
2,
3,
3,
4,
3,
4,
2,
3,
2,
5,
4,
2,
5,
3,
3,
3,
2,
2,
2,
6,
3,
3,
2,
4,
2,
2,
2,
4,
3,
3,
3,
3,
7,
4,
2,
2,
4,
4,
2,
4,
4,
2,
2,
2,
3,
3,
2,
3,
2,
2,
2,
2,
3,
5,
2,
3,
4,
4,
2,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
2,
3,
5,
2,
2,
4,
4,
3,
9,
2,
2,
2,
2,
6,
3,
3,
2,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
4,
2,
4,
3,
4,
4,
4,
4,
4,
5,
4,
3,
4,
5,
6,
2,
4,
4,
2,
4,
3,
2,
3,
4,
6,
4,
2,
5,
2,
2,
2,
5,
5,
3,
4,
3,
2,
2,
5,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
4,
2,
4,
4,
2,
4,
5,
7,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
2,
3,
3,
2,
2,
2,
2,
1,
3,
3,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
4,
3,
3,
2,
2,
2,
4,
3,
4,
2,
4,
4,
2,
2,
5,
5,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
3,
3,
3,
3,
2,
3,
4,
4,
4,
4,
2,
2,
4,
4,
6,
4,
2,
2,
4,
4,
3,
3,
3,
2,
4,
2,
3,
3,
3,
3,
4,
4,
4,
2,
4,
2,
4,
4,
2,
3,
4,
3,
3,
3,
3,
2,
3,
2,
3,
3,
3,
3,
2,
5,
2,
2,
2,
2,
2,
4,
4,
4,
4,
6,
6,
8,
8,
3,
4,
2,
2,
4,
5,
2,
2,
3,
4,
5,
2,
3,
4,
3,
4,
3,
2,
3,
4,
3,
4,
4,
2,
3,
1,
5,
3,
5,
4,
4,
4,
4,
5,
4,
2,
2,
3,
3,
2,
4,
4,
2,
2,
2,
3,
4,
4,
4,
3,
5,
2,
2,
2,
4,
4,
2,
3,
3,
3,
4,
2,
4,
4,
4,
5,
2,
3,
2,
1,
3,
2,
1,
3,
4,
4,
4,
2,
3,
2,
3,
4,
5,
4,
5,
5,
4,
5,
3,
3,
5,
4,
2,
2,
5,
3,
3,
3,
3,
2,
3,
4,
4,
3,
3,
4,
3,
4,
3,
4,
7,
3,
3,
3,
2,
5,
5,
4,
2,
4,
2,
4,
4,
1,
4,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
3,
3,
3,
2,
2,
3,
4,
4,
5,
3,
4,
3,
4,
3,
4,
3,
3,
4,
4,
3,
3,
3,
2,
2,
4,
2,
2,
4,
5,
3,
4,
4,
3,
4,
4,
3,
4,
4,
3,
3,
3,
2,
4,
4,
2,
2,
1,
2,
4,
4,
2,
4,
2,
2,
3,
3,
3,
2,
3,
4,
2,
3,
4,
2,
2,
4,
4,
2,
3,
2,
3,
2,
4,
3,
3,
2,
5,
3,
5,
4,
4,
4,
4,
3,
6,
2,
4,
4,
5,
2,
4,
2,
3,
3,
3,
5,
2,
2,
2,
2,
2,
2,
2,
2,
4,
5,
4,
4,
3,
4,
4,
3,
2,
2,
4,
3,
3,
4,
4,
3,
4,
4,
7,
5,
4,
4,
4,
4,
3,
4,
3,
2,
2,
4,
4,
3,
4,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
5,
4,
3,
5,
5,
3,
4,
4,
5,
5,
3,
5,
3,
3,
2,
2,
2,
3,
3,
4,
2,
2,
3,
3,
2,
5,
3,
2,
2,
2,
7,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
3,
4,
3,
2,
3,
3,
5,
5,
3,
4,
3,
4,
2,
2,
2,
2,
2,
2,
3,
4,
3,
5,
3,
3,
3,
4,
4,
5,
3,
5,
5,
5,
2,
2,
4,
3,
3,
2,
4,
5,
3,
2,
3,
3,
3,
3,
4,
3,
3,
6,
4,
2,
3,
3,
2,
2,
3,
4,
3,
5,
5,
4,
5,
5,
5,
2,
5,
5,
4,
7,
3,
6,
6,
2,
4,
4,
4,
3,
3,
3,
2,
5,
2,
3,
5,
4,
2,
4,
4,
2,
3,
4,
4,
2,
5,
3,
2,
4,
3,
6,
3,
3,
4,
7,
2,
2,
4,
3,
3,
2,
2,
2,
2,
4,
4,
3,
3,
4,
3,
3,
6,
4,
3,
2,
2,
2,
3,
2,
2,
3,
2,
2,
3,
2,
2,
4,
4,
3,
2,
2,
3,
4,
2,
5,
7,
2,
3,
3,
2,
2,
3,
4,
4,
3,
3,
3,
5,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
7,
3,
2,
3,
4,
2,
3,
3,
1,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
5,
6,
5,
5,
1,
3,
3,
2,
4,
4,
4,
4,
4,
3,
2,
2,
2,
3,
2,
2,
5,
4,
4,
4,
4,
2,
3,
3,
4,
4,
1,
4,
4,
2,
2,
3,
2,
2,
7,
4,
3,
3,
4,
2,
2,
3,
2,
2,
4,
4,
2,
2,
3,
2,
2,
2,
2,
3,
3,
3,
3,
5,
3,
5,
3,
4,
2,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
4,
2,
4,
3,
4,
3,
4,
3,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
2,
2,
2,
5,
2,
2,
2,
3,
4,
3,
2,
4,
4,
3,
3,
3,
4,
6,
2,
6,
2,
2,
2,
2,
2,
2,
4,
2,
4,
2,
6,
4,
2,
2,
5,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
3,
4,
5,
4,
4,
4,
4,
4,
4,
3,
5,
4,
2,
2,
4,
4,
2,
3,
4,
4,
1,
3,
3,
4,
2,
2,
5,
4,
4,
4,
5,
4,
3,
7,
4,
4,
2,
1,
3,
2,
4,
4,
2,
4,
4,
2,
6,
4,
5,
5,
4,
4,
3,
3,
5,
4,
4,
4,
4,
2,
2,
2,
4,
4,
3,
2,
3,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
3,
3,
4,
2,
1,
3,
5,
4,
2,
2,
4,
1,
4,
4,
3,
6,
2,
2,
2,
3,
3,
2,
2,
2,
3,
3,
4,
4,
2,
2,
3,
4,
2,
3,
5,
4,
2,
4,
2,
4,
5,
4,
3,
4,
4,
2,
3,
3,
2,
3,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
4,
5,
2,
4,
3,
4,
4,
2,
4,
2,
2,
3,
3,
2,
2,
2,
2,
3,
3,
8,
4,
4,
3,
1,
3,
2,
5,
4,
2,
4,
4,
3,
2,
2,
2,
2,
4,
3,
2,
3,
3,
4,
4,
4,
2,
4,
3,
6,
3,
3,
3,
3,
3,
4,
4,
6,
4,
4,
4,
4,
4,
4,
5,
2,
2,
4,
1,
3,
7,
4,
3,
3,
4,
3,
5,
2,
11,
4,
6,
3,
3,
4,
3,
2,
5,
4,
3,
3,
3,
3,
2,
3,
7,
3,
4,
3,
4,
2,
2,
2,
2,
2,
2,
5,
2,
3,
3,
4,
2,
2,
4,
4,
4,
2,
5,
5,
5,
4,
2,
4,
3,
3,
2,
4,
3,
3,
4,
4,
4,
4,
3,
5,
3,
4,
4,
3,
2,
4,
3,
3,
4,
5,
2,
3,
4,
2,
3,
2,
4,
2,
4,
3,
4,
4,
4,
4,
1,
2,
3,
2,
4,
4,
5,
5,
4,
4,
4,
4,
3,
2,
2,
2,
2,
3,
3,
2,
4,
3,
2,
3,
4,
4,
4,
2,
3,
4,
4,
4,
4,
3,
4,
1,
2,
2,
3,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
4,
4,
4,
3,
2,
3,
5,
5,
5,
5,
3,
3,
2,
5,
2,
2,
4,
4,
4,
5,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
3,
3,
5,
5,
4,
2,
3,
2,
3,
3,
3,
3,
3,
4,
3,
3,
2,
3,
2,
2,
4,
3,
4,
4,
4,
3,
3,
2,
2,
4,
2,
2,
2,
3,
2,
2,
6,
6,
5,
4,
5,
6,
4,
3,
4,
3,
2,
5,
2,
3,
4,
4,
2,
3,
3,
3,
2,
3,
6,
2,
2,
2,
3,
2,
3,
2,
3,
2,
2,
2,
4,
2,
4,
4,
4,
4,
3,
2,
2,
5,
2,
5,
2,
2,
3,
4,
3,
4,
4,
3,
3,
5,
2,
2,
2,
4,
2,
4,
4,
2,
2,
4,
4,
4,
5,
4,
4,
6,
3,
2,
1,
3,
2,
4,
2,
4,
2,
5,
4,
4,
4,
4,
2,
2,
3,
2,
4,
4,
3,
3,
5,
2,
3,
3,
3,
3,
3,
6,
7,
1,
1,
2,
4,
3,
2,
3,
3,
4,
4,
2,
2,
2,
4,
4,
3,
4,
2,
2,
2,
4,
2,
4,
4,
3,
3,
3,
3,
2,
2,
5,
3,
3,
3,
3,
3,
2,
2,
5,
3,
7,
2,
4,
6,
4,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
1,
2,
2,
5,
4,
4,
3,
1,
2,
5,
2,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
4,
4,
4,
7,
2,
4,
4,
5,
4,
6,
6,
6,
2,
4,
2,
2,
4,
2,
2,
2,
2,
4,
3,
3,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
5,
3,
2,
2,
3,
4,
2,
3,
3,
3,
7,
3,
4,
2,
3,
3,
2,
2,
4,
3,
2,
3,
2,
2,
4,
4,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
5,
4,
4,
4,
3,
3,
7,
3,
3,
3,
3,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
4,
3,
4,
4,
4,
4,
3,
3,
2,
5,
3,
3,
3,
4,
4,
4,
2,
3,
3,
4,
3,
2,
4,
4,
4,
2,
2,
4,
2,
8,
5,
4,
3,
3,
3,
3,
2,
2,
2,
4,
2,
4,
2,
1,
2,
3,
2,
6,
5,
4,
4,
3,
4,
4,
3,
3,
4,
4,
4,
5,
5,
4,
4,
3,
1,
6,
6,
2,
3,
3,
3,
3,
3,
2,
2,
2,
4,
3,
4,
5,
5,
3,
2,
4,
2,
2,
5,
2,
4,
4,
4,
4,
4,
2,
4,
2,
6,
2,
2,
4,
4,
2,
5,
3,
4,
3,
3,
2,
5,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
3,
3,
3,
2,
2,
2,
3,
3,
2,
4,
2,
4,
3,
6,
4,
2,
3,
3,
3,
3,
3,
2,
3,
2,
4,
2,
2,
2,
4,
3,
3,
2,
4,
4,
4,
2,
3,
3,
4,
3,
4,
3,
3,
3,
4,
4,
4,
3,
4,
4,
3,
3,
3,
2,
3,
2,
2,
5,
4,
4,
4,
3,
3,
4,
3,
3,
3,
3,
4,
4,
2,
4,
2,
4,
3,
3,
5,
4,
2,
4,
2,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
2,
5,
4,
8,
5,
4,
4,
4,
6,
5,
8,
3,
3,
3,
3,
3,
4,
3,
3,
4,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
2,
2,
2,
5,
3,
3,
4,
3,
6,
4,
4,
5,
3,
3,
2,
3,
2,
2,
4,
4,
2,
3,
3,
4,
2,
4,
2,
2,
4,
3,
3,
2,
5,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
3,
3,
4,
4,
3,
3,
3,
2,
3,
3,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
1,
2,
4,
4,
5,
4,
4,
4,
3,
4,
4,
3,
6,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
4,
6,
2,
5,
5,
2,
2,
2,
4,
2,
2,
3,
3,
6,
4,
2,
2,
5,
5,
5,
5,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
2,
2,
3,
3,
4,
3,
2,
2,
3,
2,
2,
3,
2,
2,
2,
5,
5,
2,
2,
2,
2,
2,
2,
5,
3,
3,
3,
3,
4,
5,
2,
2,
6,
3,
3,
2,
6,
5,
10,
2,
4,
3,
3,
4,
3,
5,
6,
2,
4,
2,
5,
2,
2,
4,
4,
2,
2,
4,
4,
3,
3,
4,
2,
1,
4,
4,
1,
2,
4,
4,
4,
2,
3,
4,
4,
4,
4,
4,
6,
4,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
6,
3,
3,
4,
4,
3,
2,
4,
3,
4,
4,
4,
4,
3,
2,
4,
3,
5,
6,
3,
3,
3,
1,
5,
2,
5,
2,
3,
3,
3,
5,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
8,
8,
4,
4,
4,
4,
3,
6,
2,
4,
4,
4,
4,
3,
3,
2,
4,
3,
2,
2,
2,
2,
4,
2,
4,
2,
2,
4,
4,
4,
5,
2,
3,
2,
3,
4,
2,
3,
2,
2,
2,
4,
4,
4,
5,
6,
4,
4,
3,
4,
3,
1,
4,
4,
4,
4,
2,
2,
3,
3,
3,
1,
3,
2,
3,
3,
2,
4,
2,
3,
4,
5,
4,
2,
4,
2,
2,
4,
2,
2,
3,
2,
4,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
3,
3,
2,
3,
5,
3,
5,
3,
5,
3,
4,
4,
2,
3,
3,
5,
3,
4,
4,
3,
3,
3,
3,
7,
4,
4,
3,
3,
4,
4,
2,
4,
2,
4,
2,
4,
3,
2,
2,
2,
3,
3,
2,
3,
2,
2,
5,
4,
4,
2,
2,
4,
4,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
4,
1,
3,
6,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
3,
2,
3,
1,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
4,
4,
2,
2,
2,
3,
2,
5,
1,
3,
3,
4,
3,
2,
2,
3,
1,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
2,
6,
3,
3,
3,
3,
2,
3,
2,
2,
5,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
3,
2,
2,
2,
1,
5,
3,
3,
4,
3,
3,
2,
2,
3,
2,
3,
3,
4,
3,
3,
3,
3,
3,
4,
6,
3,
4,
4,
8,
4,
3,
3,
3,
4,
3,
3,
2,
3,
2,
3,
2,
2,
3,
3,
3,
4,
5,
3,
3,
3,
4,
2,
4,
3,
2,
5,
3,
3,
3,
3,
6,
3,
7,
3,
3,
4,
3,
3,
3,
2,
2,
4,
2,
1,
2,
2,
3,
3,
2,
5,
5,
3,
3,
3,
4,
4,
2,
3,
5,
4,
2,
3,
2,
2,
2,
2,
3,
2,
3,
4,
3,
3,
3,
3,
3,
5,
3,
3,
3,
3,
4,
4,
4,
4,
5,
4,
4,
3,
4,
4,
5,
3,
3,
3,
3,
2,
3,
4,
4,
4,
4,
3,
6,
3,
2,
3,
4,
2,
2,
2,
2,
2,
4,
2,
2,
7,
4,
2,
3,
2,
3,
4,
4,
6,
2,
2,
2,
4,
4,
4,
3,
2,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
5,
4,
2,
2,
4,
2,
2,
2,
4,
2,
3,
3,
6,
2,
2,
2,
2,
3,
2,
2,
2,
4,
2,
6,
4,
4,
4,
4,
3,
4,
4,
4,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
5,
2,
3,
4,
2,
3,
2,
1,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
4,
4,
4,
3,
4,
3,
2,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
3,
5,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
4,
4,
2,
2,
5,
3,
3,
4,
4,
4,
3,
2,
1,
3,
2,
2,
2,
4,
4,
3,
3,
3,
2,
4,
3,
2,
2,
1,
2,
3,
2,
4,
3,
4,
3,
3,
4,
2,
3,
3,
4,
3,
2,
6,
3,
4,
4,
3,
3,
2,
4,
4,
1,
4,
2,
2,
3,
3,
2,
3,
3,
3,
3,
2,
3,
2,
3,
2,
4,
2,
6,
3,
3,
4,
2,
4,
3,
4,
2,
2,
2,
2,
2,
4,
2,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
3,
2,
3,
3,
2,
2,
4,
3,
3,
3,
4,
3,
2,
3,
2,
3,
3,
4,
5,
7,
4,
3,
2,
4,
6,
4,
4,
2,
5,
5,
2,
3,
3,
2,
2,
2,
4,
5,
5,
5,
4,
2,
3,
4,
4,
7,
6,
5,
4,
5,
2,
4,
4,
4,
4,
2,
4,
4,
6,
5,
2,
4,
2,
2,
2,
3,
3,
3,
2,
2,
3,
5,
1,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
6,
4,
4,
4,
5,
5,
6,
6,
2,
4,
4,
2,
5,
4,
4,
6,
3,
4,
5,
3,
3,
2,
4,
3,
3,
1,
4,
5,
4,
4,
4,
3,
3,
5,
4,
3,
2,
5,
5,
5,
2,
4,
3,
4,
4,
2,
2,
3,
2,
2,
2,
3,
4,
3,
3,
3,
4,
4,
5,
6,
2,
2,
4,
4,
4,
4,
4,
3,
2,
4,
2,
4,
2,
2,
4,
4,
2,
4,
2,
2,
1,
3,
4,
5,
2,
3,
3,
4,
1,
4,
2,
3,
3,
5,
7,
7,
3,
4,
4,
2,
2,
5,
2,
2,
4,
3,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
4,
2,
4,
2,
3,
2,
5,
3,
4,
5,
3,
3,
3,
3,
3,
3,
2,
3,
4,
4,
4,
4,
4,
5,
5,
6,
4,
4,
4,
4,
2,
5,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
2,
3,
3,
2,
3,
3,
2,
2,
3,
1,
2,
3,
4,
4,
4,
4,
2,
4,
3,
5,
2,
3,
2,
5,
6,
3,
3,
4,
2,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
3,
4,
4,
3,
4,
3,
3,
3,
6,
4,
3,
7,
2,
2,
3,
2,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
3,
5,
3,
2,
3,
2,
2,
4,
4,
2,
3,
3,
8,
4,
4,
4,
5,
3,
4,
3,
3,
3,
5,
4,
2,
4,
1,
4,
4,
4,
4,
4,
4,
2,
3,
4,
5,
2,
2,
4,
3,
2,
2,
3,
2,
4,
6,
3,
4,
2,
4,
4,
4,
1,
1,
3,
3,
5,
4,
2,
2,
4,
3,
3,
4,
2,
3,
3,
2,
2,
2,
3,
2,
2,
4,
3,
4,
4,
2,
4,
4,
2,
3,
2,
3,
4,
3,
2,
2,
2,
3,
3,
2,
2,
3,
2,
2,
2,
1,
3,
4,
3,
4,
2,
3,
3,
1,
2,
4,
4,
4,
5,
4,
4,
2,
4,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
4,
2,
2,
7,
2,
5,
3,
4,
2,
3,
4,
4,
4,
5,
5,
5,
3,
2,
2,
2,
3,
2,
5,
4,
6,
4,
3,
2,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
4,
2,
4,
2,
2,
4,
5,
4,
4,
2,
2,
4,
2,
6,
7,
4,
4,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
4,
2,
3,
3,
3,
3,
3,
2,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
4,
2,
2,
4,
4,
2,
4,
4,
3,
2,
2,
6,
4,
4,
3,
4,
4,
4,
2,
3,
5,
3,
4,
1,
4,
4,
6,
5,
3,
4,
3,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
4,
4,
4,
4,
3,
4,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
2,
2,
2,
3,
3,
2,
2,
6,
4,
2,
2,
2,
3,
2,
2,
4,
2,
2,
4,
2,
4,
2,
2,
2,
3,
3,
3,
4,
4,
1,
3,
2,
3,
5,
4,
3,
3,
3,
3,
4,
2,
2,
4,
2,
2,
4,
4,
3,
2,
3,
2,
2,
3,
3,
4,
4,
3,
2,
3,
4,
2,
4,
2,
2,
2,
4,
4,
2,
2,
3,
2,
3,
3,
3,
5,
2,
2,
2,
2,
4,
3,
4,
3,
3,
3,
4,
4,
4,
3,
2,
3,
2,
1,
3,
4,
3,
2,
4,
2,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
4,
3,
2,
4,
3,
5,
2,
2,
2,
6,
2,
3,
4,
5,
3,
5,
2,
4,
2,
2,
4,
2,
1,
1,
1,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
6,
2,
5,
3,
2,
2,
3,
2,
3,
3,
3,
2,
2,
3,
2,
2,
3,
3,
2,
3,
2,
6,
2,
2,
2,
2,
2,
3,
3,
4,
3,
3,
2,
2,
2,
2,
1,
2,
2,
2,
4,
7,
4,
4,
2,
4,
2,
2,
4,
2,
2,
3,
5,
4,
4,
3,
6,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
7,
5,
4,
4,
4,
6,
2,
5,
4,
2,
4,
2,
4,
4,
5,
3,
5,
3,
2,
4,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
5,
3,
2,
3,
2,
3,
2,
4,
4,
3,
7,
2,
2,
4,
4,
4,
4,
4,
3,
2,
2,
2,
3,
3,
3,
2,
3,
2,
2,
2,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
5,
4,
6,
5,
2,
2,
4,
5,
3,
4,
5,
3,
4,
3,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
1,
3,
5,
2,
4,
3,
2,
5,
3,
5,
5,
6,
4,
2,
1,
4,
2,
5,
3,
2,
2,
4,
4,
2,
2,
2,
3,
2,
3,
2,
1,
2,
2,
1,
2,
4,
1,
3,
4,
2,
2,
3,
4,
5,
2,
3,
2,
4,
2,
2,
5,
4,
3,
2,
2,
2,
4,
3,
2,
4,
4,
2,
3,
4,
4,
1,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
3,
3,
2,
3,
4,
2,
3,
3,
3,
3,
5,
5,
6,
3,
5,
3,
2,
3,
7,
3,
3,
5,
3,
3,
3,
3,
2,
3,
3,
3,
2,
4,
4,
3,
4,
3,
3,
3,
2,
2,
2,
4,
3,
4,
1,
3,
1,
4,
4,
3,
4,
5,
4,
4,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
4,
2,
4,
4,
2,
2,
3,
3,
2,
4,
4,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
4,
2,
2,
4,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
1,
6,
7,
4,
3,
3,
3,
3,
2,
4,
1,
5,
3,
4,
2,
3,
7,
5,
4,
4,
2,
7,
4,
4,
3,
4,
3,
2,
2,
2,
3,
4,
3,
2,
2,
4,
2,
2,
2,
4,
2,
2,
2,
4,
3,
4,
2,
2,
1,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
5,
2,
4,
2,
2,
2,
3,
3,
3,
4,
3,
2,
3,
3,
5,
4,
8,
6,
2,
2,
2,
5,
2,
2,
4,
2,
3,
4,
2,
2,
2,
5,
5,
2,
2,
2,
5,
2,
2,
3,
3,
2,
3,
2,
2,
4,
4,
4,
3,
3,
4,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
5,
2,
2,
4,
4,
4,
4,
2,
3,
6,
4,
2,
3,
3,
4,
4,
3,
2,
3,
4,
3,
3,
4,
4,
4,
4,
2,
2,
4,
3,
4,
4,
3,
5,
4,
5,
5,
3,
4,
8,
3,
3,
3,
4,
7,
4,
2,
5,
5,
2,
4,
4,
4,
3,
2,
2,
3,
4,
4,
4,
4,
2,
4,
3,
4,
3,
4,
4,
4,
2,
7,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
4,
5,
5,
2,
5,
3,
3,
2,
3,
3,
2,
2,
2,
2,
3,
2,
2,
3,
3,
4,
3,
1,
5,
4,
4,
4,
4,
6,
2,
3,
4,
2,
3,
3,
3,
4,
2,
3,
5,
2,
2,
4,
4,
5,
3,
3,
3,
2,
3,
3,
4,
3,
4,
3,
4,
3,
4,
4,
6,
7,
5,
1,
4,
2,
5,
4,
2,
4,
3,
4,
6,
2,
4,
6,
4,
4,
5,
6,
4,
4,
2,
4,
4,
4,
4,
5,
2,
8,
4,
4,
5,
4,
2,
4,
4,
3,
4,
4,
4,
3,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
3,
4,
5,
4,
3,
2,
3,
4,
4,
4,
4,
5,
4,
4,
4,
4,
3,
5,
4,
4,
2,
4,
4,
3,
2,
2,
2,
4,
4,
4,
3,
3,
4,
3,
2,
2,
4,
4,
4,
4,
4,
6,
2,
2,
2,
2,
4,
2,
2,
2,
4,
2,
3,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
2,
3,
3,
1,
3,
3,
3,
2,
3,
4,
4,
2,
2,
3,
1,
3,
3,
2,
2,
2,
3,
2,
3,
3,
3,
2,
2,
4,
2,
2,
2,
3,
2,
2,
3,
4,
3,
2,
5,
2,
4,
2,
2,
1,
4,
4,
3,
4,
4,
3,
4,
4,
4,
8,
5,
5,
3,
2,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
1,
1,
1,
3,
2,
3,
3,
2,
1,
3,
2,
2,
3,
3,
4,
2,
3,
1,
4,
6,
1,
3,
5,
2,
4,
3,
2,
4,
4,
4,
8,
2,
4,
4,
3,
3,
4,
3,
3,
4,
3,
3,
3,
3,
2,
3,
2,
2,
3,
2,
3,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
4,
2,
4,
5,
4,
4,
2,
2,
3,
6,
4,
3,
5,
3,
3,
2,
3,
2,
2,
2,
2,
3,
4,
3,
5,
2,
2,
4,
5,
2,
5,
2,
3,
3,
2,
3,
3,
3,
4,
4,
5,
3,
1,
4,
1,
2,
2,
3,
3,
2,
3,
3,
3,
4,
5,
2,
4,
4,
2,
3,
3,
4,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
5,
2,
2,
2,
2,
3,
3,
3,
2,
4,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
2,
2,
3,
2,
3,
1,
2,
8,
2,
2,
4,
4,
2,
2,
2,
3,
2,
2,
2,
3,
4,
5,
7,
5,
5,
4,
2,
3,
5,
2,
3,
3,
6,
3,
3,
3,
3,
3,
3,
4,
4,
6,
2,
6,
7,
4,
2,
6,
5,
7,
3,
5,
2,
2,
2,
4,
4,
2,
2,
2,
4,
6,
6,
3,
7,
3,
8,
2,
2,
4,
2,
3,
3,
2,
2,
3,
3,
3,
2,
4,
2,
3,
2,
3,
2,
4,
2,
4,
2,
3,
3,
2,
3,
2,
2,
4,
3,
4,
2,
2,
2,
2,
4,
3,
3,
2,
3,
5,
4,
3,
4,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
5,
3,
5,
4,
2,
4,
2,
5,
2,
4,
5,
4,
4,
5,
2,
3,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
4,
2,
2,
2,
4,
2,
4,
3,
5,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
2,
2,
6,
3,
3,
5,
4,
3,
5,
3,
3,
4,
5,
5,
4,
2,
2,
2,
3,
4,
6,
6,
2,
4,
2,
3,
3,
6,
4,
4,
4,
3,
3,
3,
2,
2,
2,
4,
2,
3,
4,
2,
4,
2,
3,
3,
2,
3,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
2,
2,
4,
4,
4,
2,
5,
2,
2,
2,
4,
2,
5,
2,
4,
2,
5,
4,
3,
3,
4,
4,
5,
4,
4,
2,
3,
2,
3,
4,
2,
2,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
5,
2,
4,
6,
3,
2,
2,
3,
2,
2,
2,
2,
3,
2,
3,
2,
1,
3,
2,
4,
2,
3,
4,
3,
2,
3,
4,
3,
2,
2,
3,
2,
4,
3,
4,
5,
4,
4,
4,
4,
2,
6,
2,
4,
4,
5,
4,
4,
4,
2,
3,
4,
2,
2,
2,
2,
2,
4,
4,
3,
2,
2,
3,
3,
4,
4,
3,
5,
2,
4,
5,
5,
3,
3,
3,
3,
2,
4,
3,
3,
5,
4,
3,
2,
3,
3,
5,
3,
4,
4,
4,
4,
4,
4,
2,
3,
5,
2,
2,
4,
2,
3,
2,
3,
3,
3,
3,
5,
3,
4,
3,
4,
4,
4,
5,
3,
3,
3,
4,
2,
4,
2,
2,
3,
3,
4,
4,
2,
2,
4,
6,
6,
2,
2,
4,
4,
4,
2,
3,
2,
4,
3,
2,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
3,
3,
2,
2,
2,
4,
4,
2,
4,
2,
2,
6,
3,
2,
1,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
3,
4,
3,
3,
2,
3,
4,
3,
2,
3,
3,
6,
2,
3,
3,
4,
3,
2,
2,
2,
3,
3,
4,
2,
5,
1,
3,
3,
5,
5,
5,
3,
3,
2,
3,
3,
2,
3,
2,
2,
4,
2,
5,
2,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
1,
1,
3,
2,
4,
2,
3,
2,
2,
4,
2,
1,
4,
4,
6,
2,
3,
2,
2,
3,
2,
3,
3,
4,
3,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
4,
4,
3,
4,
5,
5,
2,
5,
4,
4,
4,
3,
3,
3,
5,
2,
2,
3,
3,
3,
3,
2,
3,
2,
2,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
4,
3,
4,
4,
4,
5,
3,
2,
3,
2,
2,
4,
2,
2,
3,
3,
2,
2,
5,
2,
5,
3,
3,
3,
9,
3,
4,
3,
2,
2,
2,
3,
8,
4,
2,
3,
2,
2,
2,
3,
3,
2,
2,
3,
4,
2,
2,
2,
4,
4,
2,
4,
4,
3,
3,
2,
2,
3,
2,
5,
1,
4,
2,
4,
4,
3,
2,
2,
3,
2,
4,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
5,
3,
4,
3,
3,
3,
4,
4,
4,
4,
3,
3,
6,
7,
2,
5,
2,
5,
2,
3,
4,
2,
3,
4,
3,
3,
2,
2,
4,
2,
3,
2,
4,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
4,
3,
4,
4,
4,
4,
4,
2,
1,
2,
3,
3,
3,
2,
2,
2,
2,
2,
1,
3,
3,
2,
3,
4,
2,
3,
3,
3,
3,
4,
5,
3,
3,
7,
4,
4,
7,
3,
3,
4,
2,
3,
3,
3,
4,
2,
3,
2,
3,
4,
3,
5,
3,
3,
2,
4,
3,
4,
3,
4,
4,
5,
4,
3,
3,
3,
3,
5,
4,
6,
5,
2,
5,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
5,
2,
3,
2,
4,
2,
2,
3,
4,
4,
2,
2,
2,
3,
3,
2,
3,
4,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
2,
4,
3,
3,
4,
3,
3,
4,
4,
4,
3,
3,
3,
6,
2,
2,
4,
2,
3,
6,
3,
2,
4,
2,
4,
4,
4,
2,
2,
2,
4,
3,
4,
2,
4,
3,
4,
3,
3,
3,
3,
3,
5,
4,
2,
4,
4,
2,
2,
4,
3,
6,
6,
4,
4,
8,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
4,
2,
2,
4,
4,
6,
4,
6,
4,
3,
3,
3,
2,
3,
2,
1,
2,
2,
1,
3,
3,
3,
2,
3,
3,
3,
6,
6,
3,
3,
5,
3,
3,
1,
1,
3,
4,
2,
2,
2,
4,
3,
3,
4,
4,
3,
3,
3,
3,
4,
4,
4,
4,
2,
3,
2,
4,
2,
4,
4,
4,
4,
3,
2,
2,
3,
2,
3,
3,
2,
2,
3,
3,
3,
4,
4,
3,
3,
1,
3,
4,
3,
3,
4,
3,
3,
3,
4,
5,
2,
2,
5,
4,
3,
3,
2,
3,
2,
2,
2,
2,
4,
3,
4,
2,
4,
4,
3,
3,
2,
2,
2,
2,
2,
4,
3,
4,
2,
2,
2,
2,
2,
3,
2,
5,
2,
2,
5,
2,
2,
4,
3,
4,
4,
4,
3,
4,
4,
3,
2,
4,
2,
4,
5,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
2,
2,
3,
3,
2,
2,
3,
2,
3,
3,
3,
5,
4,
4,
1,
4,
5,
2,
2,
2,
3,
5,
4,
4,
3,
6,
2,
2,
2,
2,
4,
4,
2,
4,
4,
2,
2,
2,
2,
3,
4,
2,
4,
2,
2,
2,
5,
7,
2,
5,
5,
2,
3,
3,
5,
3,
4,
4,
2,
2,
2,
2,
4,
3,
2,
3,
3,
3,
4,
2,
2,
5,
4,
4,
4,
3,
4,
4,
3,
3,
3,
3,
4,
3,
3,
4,
2,
2,
2,
6,
2,
4,
4,
4,
3,
2,
2,
2,
2,
4,
3,
3,
3,
2,
6,
5,
5,
5,
4,
3,
3,
3,
4,
4,
3,
4,
6,
2,
4,
3,
2,
2,
3,
3,
4,
4,
4,
3,
3,
2,
2,
4,
4,
6,
4,
4,
4,
5,
2,
3,
2,
1,
2,
4,
3,
2,
6,
4,
4,
3,
2,
5,
2,
4,
4,
3,
4,
2,
2,
1,
4,
3,
1,
4,
3,
2,
4,
3,
4,
2,
2,
3,
4,
4,
3,
4,
3,
2,
5,
4,
4,
2,
4,
2,
2,
4,
3,
3,
4,
3,
1,
3,
6,
3,
6,
3,
3,
3,
3,
2,
4,
4,
3,
4,
4,
4,
4,
2,
6,
2,
2,
3,
3,
2,
3,
3,
2,
2,
3,
2,
2,
5,
3,
2,
2,
2,
2,
3,
1,
2,
3,
3,
2,
2,
2,
1,
2,
2,
3,
4,
4,
4,
6,
4,
4,
2,
2,
3,
2,
2,
2,
2,
4,
3,
3,
4,
3,
3,
3,
3,
5,
4,
4,
4,
3,
1,
2,
1,
5,
5,
4,
3,
2,
4,
2,
3,
2,
4,
3,
4,
4,
4,
4,
4,
2,
4,
3,
3,
4,
3,
3,
2,
2,
3,
5,
2,
3,
3,
4,
4,
4,
3,
6,
7,
5,
5,
4,
2,
5,
4,
6,
4,
2,
5,
3,
2,
2,
3,
3,
3,
3,
3,
3,
1,
2,
2,
3,
5,
6,
3,
1,
2,
2,
2,
4,
2,
5,
2,
2,
2,
2,
4,
1,
3,
3,
2,
3,
3,
3,
3,
2,
2,
5,
5,
4,
4,
4,
4,
4,
4,
2,
5,
2,
2,
4,
3,
2,
5,
2,
3,
3,
3,
3,
2,
2,
1,
2,
2,
3,
2,
6,
2,
7,
3,
3,
7,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
2,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
4,
3,
4,
4,
4,
4,
3,
4,
4,
2,
4,
3,
2,
2,
2,
2,
2,
1,
2,
5,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
6,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
4,
2,
2,
5,
2,
4,
2,
2,
2,
5,
5,
3,
3,
3,
2,
2,
2,
4,
4,
4,
2,
2,
4,
2,
2,
4,
2,
2,
2,
2,
5,
5,
2,
2,
4,
3,
3,
4,
2,
2,
3,
3,
4,
4,
2,
2,
3,
3,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
3,
4,
3,
4,
2,
3,
3,
3,
2,
5,
2,
4,
3,
3,
2,
5,
2,
4,
5,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
6,
3,
2,
3,
6,
4,
3,
4,
2,
3,
2,
2,
2,
6,
5,
2,
5,
4,
4,
3,
2,
5,
4,
3,
4,
3,
4,
5,
4,
4,
4,
7,
2,
2,
3,
2,
2,
2,
4,
4,
2,
4,
4,
4,
3,
3,
2,
4,
3,
3,
3,
2,
5,
3,
4,
4,
4,
4,
3,
3,
3,
4,
2,
6,
2,
2,
4,
1,
3,
3,
2,
4,
4,
3,
4,
2,
2,
2,
6,
4,
4,
4,
4,
5,
3,
2,
4,
3,
4,
4,
4,
3,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
5,
3,
4,
4,
4,
4,
2,
3,
2,
2,
3,
3,
2,
4,
2,
4,
3,
5,
2,
4,
4,
4,
4,
2,
2,
2,
3,
4,
2,
5,
3,
4,
2,
4,
4,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
5,
8,
4,
8,
5,
2,
2,
3,
3,
3,
5,
4,
3,
3,
2,
2,
3,
3,
4,
3,
5,
4,
4,
3,
5,
2,
5,
5,
5,
4,
2,
2,
2,
3,
2,
4,
3,
3,
5,
6,
4,
4,
4,
4,
5,
4,
4,
2,
2,
2,
3,
2,
3,
4,
3,
4,
2,
4,
2,
2,
3,
2,
2,
3,
4,
2,
3,
4,
2,
1,
2,
2,
2,
2,
3,
3,
6,
5,
4,
4,
4,
4,
4,
2,
5,
2,
4,
4,
3,
4,
2,
3,
3,
4,
3,
3,
4,
7,
5,
4,
1,
2,
4,
1,
2,
3,
3,
3,
7,
2,
5,
4,
6,
2,
3,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
3,
2,
2,
3,
2,
4,
2,
2,
2,
7,
4,
4,
3,
3,
4,
4,
2,
4,
4,
3,
2,
4,
4,
2,
1,
2,
2,
2,
3,
3,
3,
4,
4,
5,
4,
4,
5,
4,
3,
5,
4,
4,
4,
4,
4,
4,
5,
3,
2,
4,
4,
4,
2,
1,
2,
2,
4,
2,
2,
3,
2,
4,
6,
2,
4,
2,
3,
2,
3,
2,
5,
4,
3,
4,
2,
8,
1,
5,
3,
5,
5,
2,
4,
4,
3,
3,
2,
2,
4,
3,
3,
3,
3,
2,
3,
3,
4,
4,
4,
2,
2,
6,
1,
3,
2,
2,
3,
4,
4,
4,
3,
3,
4,
4,
4,
2,
2,
3,
4,
4,
3,
2,
5,
3,
2,
2,
4,
2,
2,
3,
2,
4,
2,
2,
4,
4,
3,
2,
4,
4,
3,
2,
3,
2,
2,
2,
4,
2,
2,
2,
2,
4,
1,
2,
2,
2,
3,
2,
2,
3,
4,
3,
3,
4,
4,
4,
4,
2,
3,
4,
4,
2,
2,
2,
3,
2,
5,
2,
2,
4,
4,
4,
3,
2,
4,
3,
3,
2,
3,
2,
3,
4,
3,
2,
2,
2,
2,
2,
1,
2,
2,
3,
2,
6,
3,
2,
3,
2,
3,
3,
4,
2,
3,
2,
4,
4,
6,
3,
2,
2,
3,
4,
4,
4,
3,
2,
4,
3,
2,
4,
3,
3,
2,
4,
5,
4,
3,
3,
3,
6,
4,
2,
2,
3,
3,
3,
2,
3,
4,
5,
2,
4,
2,
4,
2,
6,
3,
3,
3,
4,
5,
3,
3,
2,
4,
4,
3,
4,
3,
3,
3,
2,
2,
4,
4,
2,
4,
4,
2,
4,
3,
2,
3,
2,
2,
4,
2,
2,
3,
2,
2,
2,
2,
4,
2,
4,
8,
3,
2,
1,
3,
2,
3,
2,
4,
3,
3,
3,
3,
2,
2,
3,
2,
3,
2,
4,
3,
3,
4,
4,
4,
3,
2,
2,
2,
3,
3,
2,
3,
2,
2,
4,
4,
4,
1,
2,
2,
2,
4,
4,
4,
4,
3,
5,
4,
4,
2,
2,
2,
4,
5,
2,
2,
3,
4,
2,
2,
3,
5,
4,
5,
4,
2,
4,
4,
5,
3,
3,
2,
4,
2,
5,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
3,
1,
3,
3,
3,
3,
4,
4,
4,
2,
4,
2,
3,
5,
2,
3,
2,
3,
4,
1,
4,
3,
4,
4,
4,
3,
4,
5,
4,
4,
3,
2,
4,
3,
3,
6,
3,
2,
4,
2,
2,
2,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
4,
6,
4,
3,
5,
4,
4,
2,
3,
5,
6,
6,
3,
4,
7,
4,
7,
7,
3,
2,
2,
2,
2,
4,
3,
4,
4,
4,
5,
4,
2,
2,
3,
4,
2,
5,
3,
3,
3,
3,
2,
2,
3,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
4,
4,
4,
3,
3,
3,
5,
4,
4,
2,
4,
4,
4,
5,
2,
4,
3,
2,
3,
2,
2,
3,
1,
3,
2,
3,
2,
2,
4,
2,
5,
2,
5,
4,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
5,
5,
6,
4,
5,
6,
2,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
4,
4,
3,
2,
4,
2,
2,
5,
4,
2,
5,
2,
2,
3,
2,
3,
3,
2,
3,
5,
2,
2,
2,
2,
5,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
2,
5,
6,
2,
6,
2,
3,
3,
2,
6,
6,
5,
5,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
3,
2,
1,
2,
2,
2,
2,
4,
2,
3,
2,
2,
1,
2,
2,
2,
2,
1,
2,
2,
2,
4,
2,
3,
3,
2,
4,
6,
2,
2,
2,
2,
2,
6,
4,
6,
4,
4,
5,
5,
3,
2,
4,
3,
4,
4,
3,
4,
4,
2,
3,
3,
2,
4,
4,
2,
6,
3,
3,
3,
3,
4,
2,
2,
2,
2,
4,
3,
2,
2,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
3,
4,
4,
4,
3,
5,
4,
7,
2,
2,
1,
2,
3,
3,
4,
3,
3,
4,
2,
7,
3,
4,
3,
3,
2,
3,
3,
3,
3,
3,
4,
3,
3,
3,
4,
3,
2,
2,
2,
4,
2,
4,
4,
5,
5,
3,
2,
2,
2,
4,
4,
2,
2,
4,
2,
4,
2,
2,
3,
3,
2,
2,
3,
6,
2,
3,
3,
4,
2,
3,
3,
4,
3,
3,
4,
4,
4,
4,
6,
3,
5,
4,
3,
3,
4,
2,
4,
3,
5,
2,
3,
6,
6,
2,
2,
4,
4,
2,
2,
2,
2,
3,
3,
3,
2,
2,
1,
4,
3,
5,
2,
3,
5,
3,
1,
2,
3,
2,
2,
5,
4,
2,
2,
2,
3,
4,
4,
2,
2,
3,
2,
3,
3,
4,
4,
2,
4,
2,
3,
5,
2,
2,
5,
2,
2,
2,
2,
4,
3,
4,
3,
4,
3,
5,
4,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
4,
4,
4,
5,
3,
2,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
4,
2,
2,
2,
4,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
5,
2,
2,
2,
2,
2,
2,
3,
6,
3,
2,
2,
2,
6,
2,
2,
2,
2,
2,
2,
7,
5,
8,
3,
5,
3,
3,
4,
2,
3,
3,
3,
2,
2,
2,
4,
2,
2,
2,
5,
3,
3,
4,
2,
3,
2,
4,
3,
2,
2,
2,
3,
4,
4,
4,
3,
3,
2,
3,
5,
3,
4,
2,
1,
5,
5,
3,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
5,
4,
2,
2,
3,
2,
2,
4,
4,
4,
4,
3,
5,
4,
4,
3,
2,
3,
4,
4,
4,
4,
2,
4,
4,
4,
3,
2,
4,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
4,
6,
6,
3,
5,
4,
3,
2,
3,
2,
2,
4,
2,
2,
4,
4,
4,
3,
3,
3,
6,
3,
4,
5,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
4,
6,
3,
3,
3,
2,
5,
5,
4,
2,
3,
2,
2,
3,
2,
2,
3,
4,
3,
3,
5,
2,
2,
2,
3,
2,
1,
2,
2,
2,
4,
2,
4,
4,
6,
2,
4,
2,
2,
3,
2,
3,
6,
3,
3,
3,
3,
1,
3,
2,
2,
4,
2,
4,
1,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
3,
2,
2,
2,
3,
3,
4,
4,
4,
2,
2,
2,
2,
3,
4,
4,
4,
5,
4,
2,
5,
2,
3,
3,
3,
2,
3,
2,
2,
2,
5,
2,
5,
2,
2,
2,
4,
4,
3,
2,
2,
3,
2,
3,
3,
2,
3,
3,
5,
5,
4,
3,
3,
2,
3,
3,
4,
3,
4,
3,
2,
4,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
3,
5,
2,
2,
6,
4,
4,
3,
3,
2,
3,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
8,
5,
4,
3,
4,
2,
2,
6,
4,
3,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
7,
5,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
7,
4,
6,
2,
3,
4,
4,
5,
3,
4,
4,
4,
4,
4,
4,
5,
4,
4,
4,
3,
2,
3,
3,
3,
3,
2,
4,
2,
2,
5,
2,
4,
2,
4,
3,
2,
2,
2,
3,
4,
3,
7,
6,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
2,
4,
3,
4,
2,
6,
5,
5,
2,
3,
6,
3,
2,
2,
2,
2,
2,
5,
4,
2,
3,
3,
2,
2,
2,
4,
5,
4,
4,
5,
3,
4,
4,
2,
3,
4,
4,
3,
1,
3,
3,
3,
2,
2,
3,
5,
2,
2,
4,
3,
3,
3,
5,
3,
4,
4,
4,
4,
3,
4,
4,
4,
2,
2,
4,
4,
4,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
3,
5,
4,
4,
3,
3,
3,
2,
4,
4,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
3,
2,
4,
3,
2,
3,
2,
2,
5,
2,
2,
2,
4,
2,
3,
4,
4,
3,
2,
4,
2,
2,
4,
2,
4,
4,
4,
4,
2,
4,
5,
2,
2,
2,
5,
2,
3,
5,
3,
3,
2,
1,
3,
2,
3,
2,
3,
2,
3,
2,
2,
3,
2,
2,
4,
4,
2,
3,
3,
3,
3,
4,
2,
2,
2,
3,
5,
2,
2,
3,
4,
4,
3,
3,
2,
2,
3,
2,
2,
3,
3,
2,
3,
4,
5,
3,
2,
2,
2,
1,
5,
3,
2,
4,
2,
3,
2,
2,
3,
2,
5,
3,
2,
3,
3,
4,
4,
4,
7,
2,
2,
3,
2,
2,
3,
2,
4,
4,
2,
5,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
5,
5,
4,
4,
5,
2,
3,
4,
4,
4,
2,
4,
4,
1,
3,
3,
3,
2,
1,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
6,
4,
2,
2,
2,
2,
2,
2,
1,
3,
2,
2,
2,
2,
3,
2,
2,
4,
2,
2,
3,
2,
2,
3,
1,
2,
5,
4,
2,
2,
3,
3,
3,
2,
3,
5,
3,
3,
3,
5,
3,
3,
2,
2,
3,
4,
3,
6,
4,
4,
3,
2,
4,
4,
2,
3,
3,
3,
2,
2,
2,
3,
4,
4,
4,
3,
3,
4,
3,
4,
3,
2,
4,
3,
2,
3,
2,
3,
4,
6,
2,
4,
3,
3,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
4,
4,
4,
4,
2,
2,
4,
3,
3,
4,
2,
4,
2,
1,
6,
5,
2,
2,
2,
3,
5,
5,
4,
4,
3,
2,
2,
2,
3,
3,
4,
6,
6,
2,
2,
2,
2,
3,
2,
4,
2,
2,
3,
2,
2,
3,
2,
3,
2,
2,
3,
2,
1,
3,
2,
3,
3,
4,
5,
5,
1,
1,
4,
5,
7,
4,
2,
4,
4,
2,
5,
2,
5,
6,
1,
2,
2,
2,
2,
4,
3,
3,
3,
3,
4,
3,
2,
3,
3,
5,
4,
2,
4,
2,
4,
3,
3,
3,
4,
3,
2,
3,
3,
2,
4,
2,
4,
3,
3,
3,
3,
3,
2,
2,
2,
4,
3,
4,
5,
3,
4,
5,
4,
3,
5,
3,
3,
3,
4,
2,
3,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
2,
2,
3,
4,
3,
4,
3,
3,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
2,
3,
4,
2,
6,
2,
3,
3,
3,
5,
4,
4,
4,
6,
3,
3,
3,
3,
2,
4,
2,
2,
3,
2,
3,
3,
3,
4,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
4,
3,
4,
2,
5,
3,
3,
3,
3,
2,
2,
3,
4,
2,
4,
2,
4,
2,
6,
2,
2,
4,
5,
2,
1,
2,
4,
4,
2,
2,
3,
6,
4,
2,
3,
2,
4,
3,
2,
4,
2,
4,
4,
3,
2,
4,
4,
5,
4,
4,
4,
2,
4,
4,
2,
2,
4,
2,
3,
3,
2,
3,
3,
3,
4,
3,
6,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
2,
4,
2,
4,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
4,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
4,
2,
3,
2,
5,
3,
4,
2,
5,
3,
3,
5,
3,
5,
6,
4,
3,
4,
6,
2,
5,
2,
3,
3,
3,
2,
3,
4,
2,
4,
5,
4,
7,
5,
2,
2,
4,
5,
3,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
4,
2,
1,
3,
2,
4,
4,
3,
5,
2,
2,
1,
3,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
4,
4,
3,
4,
4,
3,
2,
3,
3,
3,
3,
4,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
4,
3,
5,
4,
4,
3,
3,
3,
2,
3,
3,
2,
3,
3,
3,
6,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
5,
4,
4,
2,
3,
2,
5,
5,
9,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
3,
4,
2,
2,
6,
4,
2,
3,
3,
4,
3,
3,
2,
4,
5,
3,
1,
2,
4,
2,
2,
3,
2,
5,
4,
5,
3,
2,
4,
2,
4,
2,
2,
2,
2,
3,
2,
2,
4,
5,
3,
8,
2,
2,
2,
2,
4,
2,
5,
2,
4,
4,
3,
3,
4,
2,
2,
4,
2,
2,
4,
4,
4,
5,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
5,
4,
3,
2,
4,
2,
4,
4,
3,
3,
4,
4,
4,
3,
2,
2,
3,
5,
3,
4,
3,
3,
3,
5,
6,
4,
2,
3,
4,
6,
2,
2,
2,
5,
4,
5,
2,
2,
2,
4,
4,
3,
2,
4,
6,
4,
4,
3,
2,
4,
4,
2,
2,
7,
2,
2,
2,
4,
4,
4,
3,
4,
3,
3,
4,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
3,
3,
3,
4,
2,
3,
4,
5,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
2,
3,
2,
2,
4,
3,
5,
10,
2,
3,
3,
2,
2,
2,
4,
4,
2,
5,
2,
5,
5,
2,
6,
2,
2,
2,
3,
3,
2,
3,
6,
4,
4,
4,
2,
2,
2,
2,
5,
3,
3,
3,
6,
5,
3,
2,
5,
5,
3,
4,
2,
4,
5,
5,
2,
3,
2,
3,
3,
2,
3,
3,
2,
2,
3,
3,
2,
3,
2,
2,
2,
2,
7,
5,
4,
3,
3,
2,
3,
5,
3,
2,
3,
5,
4,
5,
5,
2,
2,
5,
2,
4,
3,
5,
3,
2,
4,
4,
2,
2,
2,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
1,
3,
4,
3,
2,
3,
3,
3,
3,
2,
2,
4,
4,
5,
4,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
4,
3,
3,
3,
4,
3,
3,
4,
4,
3,
3,
3,
4,
2,
4,
4,
4,
4,
3,
4,
3,
7,
4,
2,
3,
2,
4,
2,
2,
3,
3,
3,
5,
2,
3,
5,
5,
2,
2,
3,
5,
5,
4,
2,
6,
2,
2,
2,
5,
2,
4,
4,
4,
2,
4,
2,
2,
4,
4,
4,
2,
5,
4,
4,
4,
5,
5,
2,
3,
2,
3,
3,
2,
2,
3,
2,
3,
3,
4,
6,
3,
4,
2,
4,
1,
6,
2,
4,
3,
3,
1,
2,
6,
3,
3,
2,
2,
4,
2,
4,
4,
4,
4,
2,
4,
2,
2,
4,
5,
4,
3,
3,
2,
3,
3,
3,
2,
4,
3,
4,
4,
2,
3,
3,
2,
3,
4,
2,
2,
3,
3,
2,
5,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
4,
2,
2,
3,
3,
3,
3,
4,
2,
2,
2,
4,
4,
2,
2,
4,
5,
4,
4,
4,
2,
6,
4,
4,
4,
2,
3,
5,
3,
4,
4,
4,
2,
3,
3,
3,
4,
2,
4,
2,
3,
5,
2,
3,
4,
4,
4,
6,
4,
2,
4,
3,
3,
3,
3,
3,
3,
2,
8,
3,
2,
2,
2,
2,
3,
5,
4,
3,
2,
2,
5,
2,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
2,
2,
3,
3,
2,
3,
4,
3,
3,
6,
3,
5,
3,
4,
4,
4,
6,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
4,
2,
3,
3,
3,
4,
4,
7,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
5,
3,
4,
3,
4,
2,
3,
2,
2,
4,
3,
3,
3,
3,
3,
12,
4,
4,
2,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
1,
2,
4,
3,
3,
2,
3,
4,
3,
3,
2,
2,
3,
3,
3,
2,
3,
2,
2,
4,
4,
4,
2,
3,
2,
2,
2,
3,
2,
8,
4,
4,
4,
5,
4,
4,
2,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
3,
4,
2,
3,
2,
3,
4,
4,
3,
3,
3,
4,
2,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
5,
3,
3,
3,
2,
2,
4,
4,
3,
3,
4,
4,
4,
2,
2,
2,
3,
2,
4,
2,
4,
2,
3,
4,
3,
5,
2,
3,
2,
2,
4,
4,
3,
2,
2,
3,
3,
2,
2,
3,
4,
4,
2,
2,
4,
6,
4,
7,
4,
4,
4,
5,
3,
2,
3,
3,
3,
5,
2,
4,
4,
3,
2,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
2,
4,
4,
4,
2,
3,
4,
3,
3,
1,
2,
4,
2,
2,
4,
4,
2,
3,
3,
3,
5,
1,
3,
2,
3,
5,
6,
4,
5,
5,
4,
4,
4,
4,
4,
2,
2,
2,
4,
3,
4,
2,
2,
1,
4,
2,
4,
2,
4,
2,
3,
3,
4,
2,
2,
5,
2,
2,
3,
2,
2,
2,
4,
4,
4,
3,
2,
4,
2,
4,
2,
2,
2,
4,
2,
2,
3,
3,
5,
4,
4,
4,
5,
4,
4,
4,
2,
4,
2,
2,
4,
4,
3,
4,
2,
2,
2,
3,
2,
4,
4,
4,
6,
2,
2,
3,
2,
2,
5,
4,
5,
4,
4,
3,
4,
3,
2,
3,
2,
2,
3,
3,
3,
3,
4,
2,
2,
2,
2,
3,
7,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
1,
3,
2,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
2,
2,
2,
6,
4,
4,
3,
4,
2,
3,
4,
3,
4,
4,
3,
1,
2,
3,
5,
2,
4,
6,
6,
4,
2,
3,
2,
2,
3,
4,
3,
3,
6,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
5,
4,
4,
4,
3,
4,
4,
3,
4,
4,
1,
2,
2,
1,
1,
2,
3,
3,
2,
2,
2,
3,
3,
6,
2,
4,
1,
2,
2,
2,
4,
2,
4,
4,
3,
4,
4,
3,
2,
2,
2,
2,
2,
5,
2,
3,
2,
3,
4,
5,
5,
5,
3,
4,
3,
6,
5,
3,
3,
3,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
4,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
2,
2,
3,
3,
2,
4,
3,
3,
4,
4,
5,
5,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
1,
4,
3,
4,
2,
3,
4,
3,
3,
3,
3,
2,
3,
2,
3,
3,
2,
2,
3,
3,
3,
4,
3,
4,
3,
3,
3,
4,
4,
2,
2,
2,
2,
1,
2,
3,
3,
4,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
3,
4,
4,
5,
4,
3,
3,
5,
4,
3,
2,
3,
8,
2,
4,
2,
5,
4,
4,
4,
5,
3,
2,
5,
4,
5,
4,
2,
2,
4,
4,
4,
2,
1,
3,
2,
2,
2,
3,
1,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
6,
6,
3,
6,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
4,
3,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
4,
3,
3,
5,
4,
3,
2,
3,
3,
3,
4,
4,
4,
5,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
5,
5,
2,
2,
2,
2,
3,
2,
4,
6,
4,
4,
4,
4,
7,
3,
3,
4,
4,
4,
6,
2,
4,
4,
2,
4,
4,
3,
4,
5,
2,
2,
4,
3,
3,
3,
2,
3,
4,
3,
4,
2,
3,
2,
2,
3,
2,
4,
2,
2,
4,
2,
2,
4,
4,
4,
2,
2,
3,
4,
2,
3,
3,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
4,
4,
4,
2,
3,
2,
8,
2,
8,
4,
3,
3,
3,
1,
2,
2,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
5,
4,
4,
4,
1,
3,
3,
4,
5,
3,
2,
3,
3,
3,
7,
2,
4,
2,
4,
4,
4,
6,
2,
2,
2,
3,
4,
4,
3,
2,
3,
4,
2,
3,
3,
2,
3,
3,
4,
2,
4,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
2,
1,
3,
1,
2,
2,
3,
2,
2,
2,
2,
3,
4,
5,
2,
3,
2,
4,
4,
2,
2,
3,
2,
2,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
6,
3,
4,
2,
4,
3,
3,
3,
3,
2,
2,
2,
1,
2,
4,
2,
3,
3,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
3,
2,
2,
4,
2,
2,
2,
3,
6,
3,
3,
3,
3,
2,
4,
4,
5,
3,
2,
3,
2,
5,
3,
2,
2,
1,
3,
2,
6,
3,
3,
2,
2,
2,
4,
3,
3,
3,
2,
3,
3,
5,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
2,
4,
2,
2,
3,
2,
2,
4,
4,
4,
4,
2,
3,
3,
3,
3,
4,
2,
4,
4,
4,
2,
4,
3,
4,
2,
2,
2,
4,
3,
4,
2,
5,
2,
2,
3,
2,
4,
4,
4,
4,
4,
6,
6,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
2,
2,
2,
5,
5,
4,
4,
9,
5,
3,
4,
2,
3,
1,
3,
3,
2,
4,
5,
2,
4,
3,
5,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
4,
3,
3,
4,
3,
4,
2,
2,
3,
2,
2,
2,
4,
3,
3,
3,
3,
2,
5,
3,
5,
8,
2,
4,
7,
2,
2,
2,
4,
4,
4,
4,
3,
2,
4,
2,
3,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
4,
6,
4,
2,
3,
3,
4,
4,
3,
4,
2,
4,
3,
4,
2,
2,
2,
3,
4,
3,
2,
6,
5,
4,
2,
3,
3,
4,
4,
4,
5,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
2,
2,
2,
3,
2,
2,
2,
3,
4,
4,
2,
4,
4,
2,
3,
3,
3,
5,
2,
4,
4,
4,
4,
5,
3,
3,
3,
4,
4,
2,
4,
2,
1,
3,
2,
2,
2,
3,
4,
3,
3,
2,
3,
2,
4,
3,
4,
4,
2,
3,
3,
2,
4,
2,
3,
4,
3,
3,
7,
3,
4,
2,
4,
2,
2,
3,
2,
2,
2,
4,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
5,
4,
4,
4,
3,
3,
2,
3,
3,
2,
3,
2,
2,
3,
3,
3,
2,
3,
4,
3,
2,
3,
4,
3,
4,
2,
3,
6,
2,
3,
6,
2,
4,
5,
4,
2,
2,
4,
4,
2,
3,
2,
3,
3,
3,
3,
2,
4,
5,
4,
4,
5,
3,
3,
5,
2,
3,
2,
4,
5,
5,
5,
2,
2,
4,
4,
2,
2,
5,
4,
4,
4,
3,
4,
2,
3,
5,
3,
3,
4,
2,
2,
2,
3,
3,
1,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
3,
3,
3,
2,
4,
4,
4,
4,
2,
4,
3,
1,
4,
2,
5,
2,
1,
2,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
4,
2,
4,
2,
2,
3,
4,
3,
3,
7,
3,
5,
2,
2,
2,
4,
2,
4,
4,
5,
5,
4,
7,
4,
4,
2,
4,
2,
1,
2,
2,
2,
4,
4,
2,
3,
4,
2,
4,
4,
2,
5,
4,
2,
4,
2,
3,
4,
4,
2,
4,
2,
2,
3,
3,
4,
3,
3,
4,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
3,
2,
3,
4,
3,
3,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
1,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
4,
4,
2,
2,
1,
2,
2,
4,
2,
2,
3,
4,
2,
5,
4,
4,
4,
4,
5,
3,
3,
3,
4,
3,
2,
2,
2,
1,
2,
2,
3,
2,
3,
4,
2,
2,
3,
6,
4,
3,
1,
2,
3,
3,
3,
3,
4,
2,
3,
3,
3,
2,
4,
3,
3,
4,
5,
3,
4,
3,
2,
1,
2,
3,
3,
3,
2,
3,
2,
2,
6,
3,
2,
3,
4,
5,
3,
3,
5,
2,
3,
5,
4,
2,
2,
4,
4,
3,
4,
4,
4,
2,
5,
3,
4,
2,
3,
4,
4,
4,
3,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
1,
2,
2,
4,
4,
4,
4,
2,
7,
2,
3,
4,
5,
5,
3,
3,
3,
5,
3,
3,
2,
3,
5,
3,
4,
2,
4,
4,
3,
2,
3,
2,
2,
2,
3,
4,
2,
3,
3,
3,
2,
4,
2,
3,
1,
3,
3,
3,
3,
3,
1,
2,
3,
3,
3,
3,
4,
2,
2,
5,
2,
3,
4,
3,
4,
2,
2,
3,
3,
2,
4,
4,
4,
4,
3,
5,
4,
4,
5,
4,
6,
3,
4,
4,
4,
6,
4,
4,
3,
2,
2,
1,
1,
2,
3,
2,
2,
2,
6,
3,
4,
3,
5,
2,
4,
4,
4,
3,
4,
4,
5,
2,
2,
3,
4,
3,
2,
3,
3,
3,
2,
2,
2,
2,
4,
2,
3,
3,
2,
3,
2,
3,
3,
3,
2,
4,
5,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
3,
2,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
4,
3,
4,
3,
3,
3,
2,
1,
1,
2,
3,
3,
6,
2,
4,
4,
3,
2,
2,
4,
2,
2,
2,
3,
3,
2,
4,
5,
3,
3,
2,
2,
3,
1,
2,
2,
2,
3,
3,
2,
2,
6,
3,
6,
4,
2,
4,
3,
4,
4,
4,
2,
3,
3,
3,
4,
3,
3,
2,
3,
2,
2,
3,
3,
3,
5,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
3,
2,
3,
3,
1,
3,
3,
2,
4,
2,
3,
2,
3,
2,
2,
3,
3,
2,
2,
4,
4,
9,
3,
4,
2,
4,
3,
3,
3,
4,
5,
5,
5,
3,
5,
6,
2,
4,
3,
2,
5,
2,
3,
2,
2,
3,
2,
3,
4,
3,
3,
3,
3,
3,
6,
3,
3,
3,
3,
5,
3,
3,
3,
3,
3,
4,
4,
4,
1,
6,
3,
4,
4,
6,
3,
2,
3,
3,
2,
3,
6,
4,
2,
2,
2,
2,
1,
3,
2,
4,
2,
3,
2,
5,
5,
3,
3,
2,
2,
2,
4,
2,
4,
4,
4,
4,
5,
4,
2,
4,
3,
4,
4,
4,
4,
5,
4,
4,
6,
4,
4,
3,
6,
4,
4,
3,
5,
1,
6,
4,
2,
2,
3,
2,
4,
4,
2,
2,
3,
2,
3,
3,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
5,
4,
3,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
6,
4,
4,
5,
2,
2,
5,
4,
2,
2,
4,
1,
2,
1,
4,
3,
2,
2,
2,
4,
3,
2,
2,
4,
3,
2,
4,
4,
4,
2,
2,
2,
4,
4,
2,
4,
2,
2,
3,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
2,
2,
2,
4,
3,
4,
4,
3,
3,
3,
5,
3,
2,
4,
7,
4,
3,
2,
5,
2,
2,
2,
2,
2,
2,
4,
2,
4,
3,
3,
5,
4,
3,
4,
4,
4,
4,
3,
5,
3,
6,
4,
2,
3,
7,
3,
5,
4,
4,
2,
3,
4,
4,
4,
4,
2,
4,
4,
2,
4,
2,
2,
4,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
5,
3,
3,
3,
3,
2,
2,
2,
4,
3,
4,
4,
2,
4,
4,
5,
6,
4,
2,
5,
3,
2,
2,
2,
4,
3,
3,
4,
2,
3,
2,
2,
2,
3,
4,
2,
2,
4,
2,
2,
2,
3,
3,
2,
2,
2,
6,
2,
4,
4,
4,
3,
4,
7,
4,
4,
3,
3,
4,
4,
2,
3,
3,
2,
2,
3,
3,
4,
3,
3,
3,
2,
2,
3,
4,
2,
4,
2,
2,
2,
5,
5,
4,
2,
5,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
5,
4,
2,
4,
3,
2,
2,
3,
2,
3,
2,
4,
3,
3,
4,
5,
4,
4,
4,
4,
2,
2,
2,
5,
4,
2,
3,
3,
3,
4,
3,
1,
2,
2,
2,
2,
2,
2,
2,
3,
5,
4,
3,
4,
4,
4,
6,
2,
4,
3,
4,
2,
4,
5,
4,
5,
3,
2,
2,
3,
5,
3,
2,
3,
2,
2,
3,
3,
2,
2,
2,
3,
6,
3,
4,
2,
2,
3,
2,
4,
3,
7,
3,
3,
1,
4,
2,
5,
1,
2,
1,
3,
3,
4,
3,
3,
3,
3,
1,
2,
4,
4,
3,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
2,
3,
4,
4,
4,
4,
1,
2,
1,
4,
4,
3,
3,
4,
4,
3,
5,
3,
4,
3,
2,
3,
3,
3,
3,
3,
4,
4,
3,
3,
4,
3,
4,
2,
3,
3,
2,
2,
3,
2,
3,
5,
4,
4,
4,
2,
3,
4,
2,
3,
2,
3,
2,
4,
4,
4,
4,
2,
3,
2,
3,
5,
4,
2,
4,
2,
3,
3,
7,
6,
2,
2,
3,
2,
3,
4,
2,
3,
3,
2,
2,
3,
2,
3,
2,
3,
4,
3,
4,
2,
4,
2,
4,
4,
4,
4,
5,
4,
5,
6,
7,
5,
3,
3,
1,
2,
5,
5,
2,
2,
4,
4,
2,
4,
2,
4,
2,
5,
2,
3,
3,
4,
4,
2,
2,
2,
5,
1,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
3,
3,
2,
4,
4,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
3,
6,
2,
2,
3,
3,
3,
2,
3,
1,
1,
6,
7,
2,
2,
2,
2,
4,
2,
2,
2,
5,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
2,
2,
2,
4,
4,
4,
2,
3,
3,
3,
2,
3,
3,
5,
2,
3,
2,
5,
4,
3,
3,
4,
2,
3,
3,
4,
2,
4,
2,
3,
2,
3,
2,
5,
5,
2,
4,
2,
2,
5,
3,
3,
3,
3,
4,
2,
3,
2,
4,
2,
4,
4,
2,
4,
1,
4,
3,
2,
4,
2,
3,
2,
2,
2,
2,
4,
4,
3,
2,
3,
2,
2,
7,
3,
4,
4,
2,
3,
3,
4,
4,
3,
4,
3,
3,
4,
2,
4,
2,
3,
2,
2,
4,
2,
4,
2,
2,
4,
2,
3,
3,
1,
4,
5,
4,
4,
3,
2,
2,
2,
2,
4,
2,
2,
4,
4,
2,
3,
2,
2,
3,
4,
2,
2,
4,
5,
2,
2,
2,
3,
4,
3,
2,
3,
4,
3,
5,
2,
3,
2,
2,
4,
4,
4,
5,
3,
3,
3,
3,
3,
3,
5,
2,
2,
2,
4,
5,
7,
4,
4,
4,
3,
4,
4,
3,
2,
2,
3,
3,
3,
3,
2,
2,
3,
3,
5,
3,
4,
2,
4,
8,
3,
2,
4,
3,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
4,
2,
1,
1,
3,
3,
4,
2,
4,
3,
2,
3,
7,
3,
3,
2,
3,
5,
3,
4,
4,
2,
3,
3,
2,
3,
4,
3,
4,
3,
3,
3,
2,
2,
4,
4,
3,
3,
3,
2,
2,
4,
2,
5,
3,
4,
4,
4,
2,
4,
2,
3,
3,
2,
2,
3,
4,
3,
2,
2,
2,
3,
4,
4,
3,
4,
3,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
5,
7,
5,
2,
4,
6,
4,
3,
3,
2,
6,
6,
5,
3,
3,
2,
3,
2,
2,
4,
4,
4,
5,
3,
2,
2,
3,
4,
4,
2,
2,
4,
4,
4,
3,
4,
3,
3,
3,
2,
3,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
5,
5,
2,
2,
3,
2,
3,
3,
3,
3,
3,
2,
4,
2,
2,
3,
2,
4,
4,
3,
3,
4,
4,
2,
4,
5,
2,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
3,
3,
4,
4,
4,
4,
3,
2,
2,
2,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
5,
3,
3,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
4,
1,
4,
5,
4,
4,
6,
5,
1,
3,
2,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
4,
2,
3,
7,
3,
2,
2,
2,
2,
4,
3,
3,
3,
4,
4,
3,
4,
2,
3,
4,
4,
2,
5,
3,
2,
2,
3,
3,
4,
4,
3,
4,
1,
2,
4,
4,
3,
2,
3,
4,
5,
4,
2,
2,
2,
3,
3,
3,
4,
1,
2,
2,
3,
2,
3,
5,
2,
3,
4,
2,
3,
3,
4,
2,
4,
6,
3,
3,
3,
3,
4,
3,
6,
0,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
4,
3,
3,
2,
3,
2,
2,
2,
3,
2,
2,
4,
3,
2,
3,
3,
6,
3,
4,
3,
3,
2,
2,
3,
3,
4,
3,
3,
6,
3,
4,
4,
3,
4,
3,
3,
3,
5,
4,
3,
2,
6,
3,
4,
5,
3,
2,
4,
4,
4,
4,
4,
3,
2,
4,
4,
7,
2,
3,
2,
3,
2,
2,
2,
4,
4,
2,
2,
3,
2,
2,
4,
2,
2,
3,
2,
3,
3,
4,
5,
2,
2,
2,
2,
2,
2,
4,
3,
3,
4,
3,
3,
3,
3,
4,
4,
3,
2,
3,
4,
2,
4,
4,
3,
3,
3,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
6,
3,
6,
2,
2,
4,
2,
2,
2,
5,
5,
3,
4,
3,
4,
2,
2,
3,
2,
2,
2,
4,
3,
4,
4,
2,
2,
1,
2,
2,
5,
4,
4,
2,
4,
4,
2,
5,
3,
2,
3,
4,
3,
3,
3,
4,
2,
3,
3,
4,
3,
5,
2,
2,
2,
2,
2,
5,
5,
2,
2,
4,
3,
3,
3,
3,
2,
2,
4,
4,
4,
3,
4,
4,
3,
2,
3,
5,
2,
4,
4,
4,
5,
3,
3,
3,
2,
2,
4,
2,
2,
3,
4,
2,
2,
2,
1,
2,
4,
4,
3,
3,
3,
4,
5,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
2,
12,
3,
2,
3,
3,
4,
3,
4,
4,
4,
2,
3,
3,
2,
2,
7,
3,
2,
4,
2,
4,
2,
2,
2,
2,
4,
5,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
5,
4,
8,
4,
4,
4,
4,
4,
4,
2,
5,
4,
2,
2,
3,
4,
2,
3,
4,
2,
4,
5,
2,
6,
4,
2,
5,
4,
4,
2,
2,
4,
4,
2,
3,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
6,
3,
2,
3,
2,
2,
3,
3,
3,
3,
1,
2,
2,
2,
3,
3,
2,
3,
4,
5,
6,
4,
2,
2,
2,
2,
4,
3,
2,
2,
4,
3,
4,
4,
2,
4,
3,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
3,
4,
4,
5,
2,
4,
4,
2,
3,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
3,
6,
2,
3,
2,
2,
2,
2,
3,
5,
5,
3,
3,
3,
3,
3,
3,
2,
5,
7,
2,
1,
2,
3,
2,
2,
2,
2,
2,
5,
3,
3,
6,
4,
5,
4,
3,
3,
4,
4,
4,
6,
2,
3,
6,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
6,
4,
3,
3,
3,
6,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
3,
5,
3,
8,
2,
6,
3,
3,
3,
5,
2,
3,
4,
2,
2,
2,
3,
3,
3,
2,
5,
3,
4,
4,
4,
4,
4,
4,
4,
6,
4,
3,
2,
4,
3,
5,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
5,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
3,
6,
2,
5,
3,
2,
2,
4,
5,
5,
2,
3,
3,
2,
3,
3,
2,
2,
2,
2,
3,
2,
3,
6,
6,
3,
3,
5,
2,
3,
3,
2,
3,
3,
2,
5,
2,
4,
4,
5,
2,
3,
4,
3,
2,
2,
2,
3,
3,
6,
4,
3,
6,
6,
4,
1,
3,
4,
6,
1,
5,
3,
4,
4,
2,
2,
4,
4,
1,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
2,
2,
2,
4,
2,
2,
3,
3,
3,
2,
3,
4,
3,
3,
3,
3,
2,
2,
6,
2,
2,
2,
2,
2,
3,
2,
5,
2,
2,
2,
2,
2,
2,
4,
3,
3,
6,
6,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
3,
2,
5,
2,
2,
3,
2,
2,
2,
3,
5,
4,
2,
2,
2,
4,
2,
3,
2,
3,
4,
4,
4,
4,
2,
4,
3,
6,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
5,
4,
3,
2,
2,
2,
2,
3,
4,
2,
4,
1,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
5,
2,
3,
3,
2,
4,
4,
3,
2,
3,
2,
4,
4,
2,
2,
2,
2,
4,
4,
4,
5,
4,
4,
4,
3,
2,
5,
4,
4,
2,
3,
6,
4,
4,
3,
2,
2,
4,
5,
6,
3,
2,
2,
2,
4,
7,
2,
3,
3,
2,
3,
4,
4,
2,
2,
2,
2,
5,
2,
3,
1,
5,
3,
3,
2,
3,
2,
6,
3,
2,
3,
2,
4,
2,
5,
3,
1,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
5,
4,
4,
2,
2,
2,
2,
2,
4,
3,
3,
2,
2,
3,
3,
1,
1,
4,
4,
4,
2,
2,
2,
3,
2,
1,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
7,
3,
4,
3,
2,
3,
3,
2,
4,
4,
4,
3,
4,
4,
3,
2,
3,
3,
2,
4,
2,
3,
3,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
1,
2,
3,
2,
2,
4,
6,
3,
4,
3,
4,
5,
4,
4,
3,
4,
2,
2,
2,
2,
4,
3,
2,
3,
4,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
4,
3,
2,
3,
4,
3,
2,
2,
2,
3,
4,
2,
5,
2,
2,
2,
3,
2,
2,
2,
2,
2,
5,
4,
2,
4,
4,
4,
4,
5,
3,
5,
4,
2,
4,
4,
4,
2,
2,
2,
3,
3,
6,
5,
2,
4,
5,
3,
5,
3,
6,
3,
2,
2,
4,
4,
2,
4,
5,
4,
5,
3,
4,
2,
3,
5,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
3,
2,
4,
1,
2,
2,
3,
3,
3,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
2,
2,
4,
4,
3,
3,
3,
4,
3,
5,
4,
5,
5,
2,
3,
3,
3,
3,
3,
4,
4,
3,
5,
4,
4,
4,
4,
4,
3,
2,
2,
5,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
3,
1,
3,
3,
3,
5,
4,
4,
3,
1,
4,
3,
3,
4,
2,
2,
3,
3,
8,
4,
2,
3,
3,
3,
3,
5,
2,
3,
4,
2,
2,
4,
6,
3,
6,
2,
4,
3,
3,
3,
3,
2,
2,
3,
2,
3,
2,
2,
5,
3,
4,
2,
2,
2,
3,
3,
3,
3,
3,
6,
2,
3,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
2,
2,
1,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
4,
2,
3,
4,
3,
4,
3,
4,
3,
4,
4,
5,
2,
2,
3,
4,
5,
4,
4,
2,
4,
4,
4,
4,
3,
3,
2,
2,
3,
2,
4,
4,
4,
4,
4,
3,
2,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
3,
1,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
3,
2,
3,
2,
4,
3,
4,
3,
5,
2,
4,
3,
2,
3,
3,
2,
2,
4,
5,
3,
2,
4,
3,
2,
3,
4,
5,
4,
2,
2,
2,
3,
3,
3,
2,
4,
2,
3,
2,
2,
3,
2,
7,
4,
3,
3,
3,
3,
3,
4,
2,
4,
2,
1,
2,
4,
2,
5,
2,
3,
3,
2,
4,
4,
4,
4,
3,
4,
5,
6,
2,
5,
5,
6,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
3,
2,
4,
2,
2,
2,
4,
2,
3,
4,
3,
2,
3,
2,
2,
4,
4,
2,
4,
5,
2,
4,
2,
2,
2,
2,
2,
1,
5,
3,
2,
2,
7,
3,
4,
2,
4,
3,
5,
3,
4,
2,
4,
2,
2,
4,
4,
3,
3,
3,
2,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
3,
4,
3,
4,
2,
3,
3,
1,
2,
2,
2,
1,
4,
4,
3,
3,
3,
2,
3,
2,
3,
2,
2,
3,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
3,
5,
2,
3,
3,
4,
2,
4,
4,
2,
2,
4,
4,
4,
4,
3,
4,
3,
2,
3,
3,
3,
3,
5,
2,
3,
5,
4,
4,
2,
4,
3,
5,
4,
3,
2,
2,
4,
2,
2,
2,
1,
3,
4,
4,
4,
2,
2,
3,
3,
3,
3,
5,
5,
4,
4,
4,
5,
4,
2,
2,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
2,
3,
4,
3,
3,
2,
2,
6,
2,
3,
2,
2,
3,
4,
3,
3,
4,
4,
6,
3,
4,
2,
2,
6,
4,
2,
3,
3,
4,
4,
4,
4,
4,
3,
4,
5,
2,
3,
2,
2,
2,
4,
3,
4,
2,
2,
6,
2,
2,
2,
3,
2,
2,
4,
4,
2,
2,
4,
2,
4,
4,
2,
4,
3,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
8,
4,
2,
3,
3,
2,
3,
3,
3,
2,
3,
3,
2,
5,
4,
2,
3,
3,
5,
2,
3,
3,
3,
3,
3,
4,
5,
8,
4,
4,
2,
3,
4,
3,
2,
2,
4,
4,
1,
2,
4,
2,
3,
2,
3,
3,
2,
2,
4,
5,
3,
2,
5,
2,
4,
2,
2,
2,
6,
3,
6,
2,
2,
1,
4,
3,
4,
4,
5,
4,
4,
2,
2,
2,
3,
2,
3,
3,
4,
2,
4,
3,
2,
6,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
3,
2,
4,
4,
3,
4,
2,
2,
3,
2,
2,
2,
6,
4,
4,
3,
2,
2,
2,
3,
3,
3,
3,
3,
5,
5,
4,
3,
2,
2,
2,
4,
2,
2,
4,
2,
4,
2,
4,
4,
2,
3,
3,
2,
2,
4,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
3,
6,
6,
2,
3,
6,
4,
4,
2,
4,
4,
2,
4,
4,
3,
2,
4,
4,
6,
3,
4,
3,
3,
3,
5,
3,
5,
2,
4,
2,
5,
3,
3,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
2,
3,
2,
4,
3,
2,
3,
2,
3,
3,
2,
4,
4,
2,
2,
2,
2,
2,
3,
4,
4,
3,
2,
5,
3,
3,
5,
3,
1,
3,
5,
5,
3,
2,
4,
2,
3,
8,
4,
3,
3,
3,
3,
2,
2,
5,
3,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
5,
3,
3,
3,
3,
4,
4,
6,
2,
5,
4,
3,
3,
4,
4,
4,
2,
2,
4,
2,
4,
2,
2,
4,
4,
2,
4,
3,
2,
4,
5,
2,
3,
2,
2,
2,
1,
2,
3,
2,
2,
2,
4,
4,
4,
4,
2,
4,
2,
3,
4,
4,
3,
3,
3,
3,
3,
7,
2,
2,
3,
4,
4,
4,
4,
2,
3,
2,
4,
2,
3,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
4,
2,
3,
2,
3,
4,
4,
3,
4,
7,
5,
5,
3,
3,
3,
3,
2,
2,
3,
4,
3,
4,
1,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
5,
2,
3,
1,
4,
3,
2,
3,
2,
3,
3,
4,
6,
3,
3,
3,
6,
2,
2,
3,
2,
2,
2,
4,
4,
5,
5,
4,
2,
2,
4,
4,
4,
2,
4,
2,
2,
4,
4,
4,
2,
3,
2,
2,
2,
1,
1,
3,
3,
3,
2,
7,
2,
3,
2,
3,
2,
3,
2,
3,
4,
2,
3,
2,
2,
2,
2,
3,
1,
5,
2,
3,
5,
4,
4,
3,
4,
3,
3,
4,
3,
2,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
4,
3,
2,
3,
5,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
3,
2,
3,
2,
3,
3,
3,
2,
1,
1,
3,
2,
2,
2,
2,
2,
5,
4,
2,
2,
2,
3,
6,
2,
5,
2,
4,
3,
1,
4,
3,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
5,
4,
2,
1,
2,
3,
3,
3,
1,
1,
2,
3,
3,
3,
2,
3,
3,
4,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
2,
2,
3,
3,
4,
2,
3,
2,
3,
3,
2,
3,
2,
2,
2,
2,
3,
3,
2,
2,
2,
3,
2,
3,
3,
2,
4,
3,
4,
3,
3,
3,
4,
2,
2,
3,
2,
2,
2,
4,
7,
4,
6,
4,
2,
4,
2,
3,
4,
3,
4,
3,
3,
4,
4,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
2,
3,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
2,
4,
4,
3,
2,
2,
4,
4,
4,
2,
5,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
6,
2,
3,
3,
3,
4,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
6,
4,
7,
5,
2,
4,
4,
9,
5,
3,
3,
2,
2,
2,
4,
2,
2,
4,
2,
4,
2,
2,
2,
8,
2,
4,
3,
2,
2,
6,
4,
2,
3,
8,
2,
4,
4,
2,
2,
3,
2,
2,
3,
2,
4,
2,
3,
1,
3,
1,
2,
3,
2,
3,
2,
4,
2,
4,
4,
4,
2,
2,
3,
3,
3,
2,
2,
3,
4,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
3,
2,
4,
3,
3,
3,
2,
4,
2,
2,
3,
2,
2,
3,
6,
6,
4,
2,
4,
3,
2,
2,
1,
2,
2,
4,
3,
4,
3,
6,
4,
4,
6,
2,
2,
3,
4,
2,
2,
2,
2,
3,
5,
4,
2,
2,
2,
2,
4,
2,
5,
5,
2,
4,
4,
2,
3,
6,
4,
4,
4,
3,
3,
4,
2,
4,
3,
2,
3,
5,
3,
4,
2,
2,
3,
3,
3,
4,
2,
3,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
4,
4,
3,
4,
3,
4,
3,
3,
3,
5,
2,
4,
4,
3,
5,
4,
3,
4,
4,
4,
4,
4,
2,
4,
5,
2,
2,
3,
3,
6,
4,
3,
3,
3,
4,
3,
3,
3,
4,
3,
4,
2,
2,
2,
4,
4,
2,
3,
8,
7,
6,
6,
4,
4,
2,
4,
2,
3,
2,
2,
2,
3,
1,
4,
4,
3,
3,
2,
3,
3,
2,
2,
3,
3,
2,
4,
3,
5,
3,
7,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
4,
2,
3,
4,
4,
3,
2,
4,
2,
3,
3,
2,
3,
3,
3,
2,
3,
3,
3,
4,
2,
3,
3,
1,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
4,
4,
2,
4,
3,
3,
4,
2,
6,
3,
2,
4,
2,
1,
5,
4,
3,
3,
2,
1,
4,
2,
2,
4,
2,
3,
2,
2,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
6,
3,
4,
2,
4,
4,
2,
3,
5,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
3,
2,
2,
3,
3,
2,
3,
2,
2,
4,
4,
3,
2,
3,
3,
5,
6,
5,
5,
3,
3,
5,
4,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
2,
5,
1,
2,
2,
3,
3,
4,
4,
4,
2,
5,
2,
3,
3,
3,
3,
4,
3,
3,
2,
2,
2,
4,
5,
3,
2,
3,
3,
3,
3,
4,
2,
2,
2,
3,
2,
4,
4,
4,
2,
6,
2,
4,
4,
4,
3,
4,
2,
2,
3,
3,
3,
3,
4,
5,
2,
4,
3,
3,
2,
1,
6,
2,
4,
4,
2,
4,
4,
3,
3,
3,
3,
3,
5,
2,
2,
3,
3,
3,
4,
5,
2,
3,
4,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
7,
5,
2,
3,
2,
3,
2,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
5,
2,
1,
2,
2,
2,
2,
4,
4,
2,
2,
2,
1,
1,
2,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
1,
2,
2,
2,
1,
2,
2,
2,
2,
4,
4,
1,
4,
5,
3,
3,
3,
3,
2,
2,
2,
4,
5,
4,
3,
3,
2,
4,
3,
4,
3,
3,
3,
4,
3,
2,
3,
2,
4,
3,
3,
3,
2,
4,
4,
2,
3,
3,
3,
2,
4,
2,
2,
6,
3,
4,
4,
2,
4,
4,
4,
3,
1,
2,
2,
2,
3,
3,
2,
2,
3,
2,
3,
5,
2,
4,
2,
2,
2,
3,
5,
5,
3,
5,
5,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
4,
3,
4,
2,
4,
5,
3,
3,
4,
4,
3,
4,
6,
5,
5,
4,
4,
2,
2,
1,
2,
3,
2,
1,
3,
2,
2,
3,
3,
2,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
5,
5,
5,
4,
3,
3,
3,
3,
3,
4,
4,
2,
4,
3,
3,
3,
3,
3,
5,
6,
6,
3,
3,
3,
3,
3,
4,
4,
3,
4,
2,
2,
2,
2,
4,
4,
2,
4,
3,
4,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
4,
6,
6,
3,
4,
2,
4,
4,
4,
1,
4,
2,
3,
4,
4,
4,
3,
3,
3,
4,
3,
3,
3,
11,
5,
3,
2,
3,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
5,
2,
2,
3,
7,
3,
4,
4,
2,
4,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
6,
3,
3,
4,
3,
6,
2,
6,
6,
7,
2,
4,
4,
4,
4,
2,
2,
1,
2,
4,
3,
2,
4,
2,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
6,
7,
3,
2,
4,
7,
3,
4,
5,
3,
2,
2,
3,
2,
2,
3,
3,
3,
1,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
3,
1,
3,
1,
4,
6,
4,
3,
3,
2,
4,
4,
3,
2,
3,
3,
1,
2,
2,
3,
2,
3,
5,
3,
3,
4,
3,
4,
6,
3,
2,
3,
2,
2,
5,
2,
4,
8,
4,
4,
2,
4,
4,
2,
5,
4,
2,
3,
3,
3,
1,
2,
3,
3,
4,
4,
4,
3,
2,
2,
6,
4,
3,
3,
3,
3,
2,
5,
2,
5,
3,
3,
3,
2,
2,
2,
5,
5,
5,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
3,
5,
5,
5,
4,
4,
5,
3,
2,
3,
4,
3,
6,
4,
3,
5,
2,
4,
2,
3,
4,
2,
2,
2,
3,
3,
3,
3,
3,
4,
6,
3,
4,
4,
3,
4,
4,
2,
2,
2,
2,
4,
2,
2,
4,
4,
2,
5,
5,
4,
4,
3,
2,
2,
3,
4,
3,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
3,
3,
4,
4,
3,
4,
3,
6,
4,
2,
5,
3,
3,
3,
3,
2,
5,
2,
2,
3,
5,
10,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
4,
3,
2,
2,
3,
3,
3,
4,
8,
7,
4,
3,
5,
3,
2,
3,
3,
3,
3,
2,
3,
8,
4,
4,
4,
3,
4,
2,
3,
2,
3,
2,
4,
2,
2,
2,
3,
2,
2,
2,
2,
6,
6,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
7,
5,
5,
5,
5,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
4,
4,
2,
6,
1,
1,
2,
2,
2,
6,
2,
2,
2,
2,
4,
4,
2,
1,
2,
3,
4,
2,
2,
2,
2,
4,
3,
3,
3,
3,
5,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
5,
6,
3,
4,
4,
5,
4,
2,
4,
4,
4,
4,
6,
3,
3,
5,
5,
5,
5,
4,
2,
4,
4,
4,
1,
2,
2,
2,
2,
3,
3,
5,
4,
5,
2,
4,
3,
4,
3,
4,
3,
4,
4,
4,
2,
2,
2,
2,
3,
2,
3,
5,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
4,
4,
3,
5,
5,
5,
4,
4,
2,
2,
2,
2,
3,
3,
3,
4,
2,
4,
4,
3,
6,
3,
5,
2,
4,
6,
2,
2,
6,
4,
2,
10,
2,
3,
2,
3,
5,
2,
2,
2,
2,
2,
3,
4,
4,
2,
4,
2,
2,
3,
4,
3,
4,
2,
3,
4,
3,
3,
3,
3,
4,
4,
3,
3,
2,
2,
3,
3,
3,
4,
3,
2,
2,
2,
3,
3,
3,
5,
3,
3,
3,
3,
4,
4,
4,
3,
4,
2,
8,
3,
5,
6,
3,
2,
4,
2,
2,
3,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
4,
6,
4,
4,
5,
4,
3,
4,
4,
2,
2,
3,
2,
3,
3,
4,
3,
4,
2,
2,
3,
2,
3,
3,
3,
2,
3,
4,
2,
2,
3,
2,
8,
6,
6,
5,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
2,
4,
3,
6,
4,
6,
2,
2,
6,
2,
4,
3,
2,
2,
1,
2,
3,
3,
3,
3,
4,
4,
3,
4,
2,
3,
3,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
2,
4,
5,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
5,
6,
4,
4,
2,
4,
4,
4,
7,
2,
3,
2,
2,
2,
4,
4,
3,
3,
3,
6,
6,
3,
3,
3,
2,
4,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
5,
2,
2,
4,
4,
3,
2,
2,
2,
3,
4,
4,
3,
4,
4,
3,
2,
3,
4,
2,
2,
2,
1,
1,
2,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
4,
5,
2,
4,
5,
5,
3,
1,
2,
4,
3,
5,
4,
3,
2,
2,
2,
2,
5,
3,
4,
5,
3,
3,
3,
5,
2,
2,
3,
4,
3,
3,
3,
3,
2,
4,
3,
4,
4,
3,
2,
3,
5,
3,
3,
3,
3,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
2,
2,
3,
1,
3,
3,
3,
2,
2,
2,
2,
2,
2,
5,
7,
7,
5,
4,
4,
4,
3,
4,
3,
2,
3,
4,
2,
3,
3,
3,
2,
4,
4,
4,
4,
1,
2,
2,
2,
1,
2,
4,
3,
4,
2,
2,
4,
4,
2,
4,
2,
3,
3,
2,
2,
2,
1,
2,
4,
2,
3,
5,
4,
7,
3,
2,
3,
4,
2,
1,
2,
2,
1,
2,
2,
2,
3,
3,
4,
2,
5,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
3,
4,
2,
2,
1,
2,
2,
4,
4,
4,
3,
2,
2,
4,
3,
4,
4,
4,
4,
3,
4,
4,
3,
2,
4,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
4,
5,
3,
4,
4,
2,
5,
4,
3,
4,
4,
4,
4,
4,
3,
3,
4,
4,
2,
3,
4,
2,
3,
2,
2,
4,
2,
4,
4,
4,
3,
4,
4,
4,
4,
4,
5,
4,
4,
4,
4,
3,
3,
2,
3,
4,
3,
3,
1,
3,
2,
4,
4,
4,
3,
4,
3,
4,
2,
3,
3,
2,
1,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
3,
4,
4,
3,
4,
3,
3,
4,
5,
2,
2,
4,
2,
2,
2,
3,
2,
2,
3,
4,
4,
4,
6,
4,
6,
4,
2,
4,
4,
5,
2,
2,
3,
4,
4,
4,
4,
4,
2,
8,
3,
3,
4,
3,
2,
2,
2,
5,
5,
5,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
2,
3,
2,
2,
2,
2,
3,
3,
5,
3,
2,
2,
4,
3,
3,
4,
5,
4,
4,
2,
2,
2,
4,
2,
5,
2,
2,
3,
3,
3,
2,
3,
4,
5,
3,
5,
3,
2,
2,
5,
5,
3,
4,
1,
2,
2,
2,
2,
8,
3,
3,
5,
2,
5,
2,
4,
4,
2,
4,
4,
4,
2,
3,
3,
4,
4,
4,
4,
6,
3,
3,
3,
2,
4,
3,
4,
4,
6,
4,
4,
4,
4,
4,
2,
4,
5,
4,
4,
2,
4,
2,
3,
3,
4,
2,
5,
4,
3,
4,
2,
4,
3,
2,
2,
4,
2,
2,
3,
3,
4,
3,
4,
4,
8,
4,
3,
4,
4,
4,
4,
3,
3,
3,
6,
2,
2,
3,
5,
4,
4,
2,
2,
3,
2,
1,
3,
3,
3,
2,
2,
2,
5,
4,
3,
3,
3,
2,
2,
2,
2,
4,
2,
2,
3,
4,
3,
4,
3,
4,
5,
3,
3,
3,
4,
5,
2,
4,
3,
2,
5,
2,
3,
2,
2,
3,
2,
2,
2,
3,
2,
3,
2,
2,
3,
2,
3,
3,
3,
2,
3,
3,
3,
2,
5,
4,
5,
4,
3,
3,
2,
2,
2,
4,
2,
2,
2,
4,
4,
3,
2,
2,
3,
4,
2,
3,
4,
2,
2,
4,
4,
3,
3,
5,
2,
2,
2,
2,
2,
3,
2,
2,
4,
4,
4,
3,
2,
2,
4,
2,
2,
4,
2,
2,
2,
4,
2,
2,
3,
4,
3,
3,
5,
2,
6,
2,
4,
3,
2,
3,
5,
3,
3,
3,
7,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
5,
3,
3,
3,
4,
2,
4,
3,
4,
2,
2,
2,
2,
2,
3,
3,
6,
6,
3,
3,
4,
3,
4,
4,
4,
4,
8,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
2,
5,
4,
4,
4,
4,
4,
2,
5,
3,
2,
1,
3,
3,
2,
2,
4,
2,
4,
1,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
4,
4,
2,
4,
5,
4,
6,
2,
5,
2,
4,
6,
5,
5,
4,
4,
6,
3,
3,
4,
3,
5,
5,
5,
2,
2,
2,
2,
2,
2,
4,
5,
4,
4,
4,
3,
5,
3,
2,
6,
2,
2,
3,
3,
3,
3,
2,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
3,
2,
4,
2,
3,
5,
4,
3,
3,
3,
3,
2,
3,
3,
1,
3,
3,
4,
5,
4,
2,
4,
4,
3,
4,
3,
3,
2,
2,
4,
2,
3,
3,
3,
4,
3,
4,
2,
2,
4,
3,
2,
2,
3,
4,
5,
4,
4,
4,
3,
4,
4,
2,
3,
4,
2,
2,
2,
5,
2,
2,
4,
3,
4,
2,
3,
3,
5,
2,
4,
2,
2,
2,
2,
4,
3,
2,
4,
2,
4,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
1,
3,
1,
4,
3,
3,
4,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
6,
2,
2,
2,
3,
2,
3,
3,
3,
4,
2,
2,
2,
3,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
3,
4,
5,
3,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
2,
2,
5,
3,
3,
4,
4,
4,
3,
5,
2,
2,
4,
3,
6,
2,
4,
2,
2,
1,
3,
3,
1,
1,
3,
2,
4,
3,
2,
2,
2,
2,
3,
2,
3,
2,
4,
4,
2,
2,
2,
3,
1,
3,
3,
3,
4,
2,
2,
1,
2,
2,
4,
7,
4,
4,
4,
3,
3,
2,
3,
2,
4,
3,
2,
4,
3,
7,
2,
4,
4,
4,
4,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
7,
4,
2,
3,
2,
4,
4,
4,
2,
5,
5,
6,
2,
2,
3,
2,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
3,
2,
3,
3,
2,
3,
2,
4,
4,
3,
4,
2,
2,
2,
4,
3,
5,
2,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
4,
3,
4,
2,
4,
4,
4,
6,
2,
1,
5,
6,
2,
2,
3,
3,
3,
3,
2,
4,
4,
3,
2,
2,
4,
4,
4,
4,
4,
2,
3,
3,
5,
1,
3,
3,
3,
3,
2,
5,
2,
3,
3,
3,
2,
1,
1,
3,
3,
2,
2,
1,
3,
1,
4,
3,
2,
2,
3,
3,
4,
2,
2,
3,
2,
3,
2,
4,
5,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
1,
2,
4,
2,
2,
4,
4,
2,
3,
3,
3,
3,
3,
2,
4,
2,
2,
7,
4,
3,
2,
3,
1,
2,
1,
4,
4,
2,
2,
4,
4,
3,
3,
2,
4,
4,
3,
4,
4,
2,
2,
3,
2,
4,
5,
4,
4,
4,
2,
4,
3,
3,
3,
4,
3,
3,
2,
4,
5,
3,
3,
3,
4,
3,
3,
2,
3,
2,
4,
4,
2,
4,
4,
2,
4,
4,
3,
2,
6,
4,
2,
4,
2,
4,
3,
2,
2,
3,
2,
4,
4,
3,
3,
2,
2,
2,
2,
6,
4,
5,
3,
2,
2,
2,
2,
2,
4,
5,
3,
2,
4,
2,
5,
3,
4,
2,
3,
2,
5,
4,
1,
2,
5,
6,
5,
3,
6,
4,
2,
2,
3,
4,
5,
4,
2,
2,
2,
3,
2,
2,
3,
4,
4,
5,
2,
4,
2,
1,
3,
3,
2,
2,
4,
2,
3,
7,
3,
3,
4,
4,
4,
4,
3,
4,
4,
5,
5,
5,
5,
3,
6,
2,
2,
2,
3,
2,
2,
3,
2,
4,
4,
4,
2,
4,
2,
3,
3,
3,
3,
3,
3,
6,
2,
2,
2,
2,
3,
3,
5,
3,
3,
3,
3,
2,
4,
2,
3,
3,
3,
3,
3,
5,
3,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
2,
3,
4,
2,
1,
4,
2,
2,
4,
4,
2,
4,
4,
4,
3,
4,
5,
1,
4,
3,
3,
3,
4,
2,
2,
4,
2,
4,
3,
4,
4,
4,
2,
3,
4,
4,
6,
4,
2,
4,
4,
3,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
4,
3,
3,
4,
2,
3,
6,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
6,
5,
3,
3,
3,
2,
2,
2,
3,
3,
4,
2,
8,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
3,
2,
3,
2,
4,
5,
4,
4,
2,
1,
4,
3,
3,
3,
4,
4,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
3,
3,
3,
6,
1,
2,
2,
2,
3,
2,
3,
4,
4,
4,
4,
3,
4,
3,
2,
2,
2,
3,
3,
3,
3,
2,
4,
4,
2,
2,
3,
4,
4,
5,
3,
2,
3,
3,
3,
4,
1,
4,
2,
4,
2,
2,
2,
4,
4,
3,
4,
4,
4,
2,
5,
2,
4,
3,
3,
2,
3,
3,
3,
3,
4,
4,
1,
5,
1,
3,
2,
4,
4,
4,
2,
3,
3,
3,
3,
1,
4,
2,
2,
3,
1,
2,
2,
3,
2,
5,
5,
2,
3,
1,
2,
2,
6,
2,
4,
4,
2,
2,
6,
2,
3,
3,
3,
3,
3,
3,
4,
2,
3,
2,
1,
1,
3,
3,
4,
2,
2,
2,
5,
3,
2,
1,
2,
4,
2,
2,
2,
4,
4,
5,
4,
2,
4,
4,
2,
4,
2,
3,
4,
4,
2,
5,
2,
2,
4,
2,
6,
2,
2,
4,
4,
2,
3,
3,
2,
2,
4,
2,
4,
3,
4,
2,
2,
4,
5,
4,
4,
4,
2,
4,
3,
6,
4,
4,
5,
2,
3,
3,
5,
3,
3,
2,
2,
2,
3,
2,
4,
3,
3,
4,
3,
3,
4,
2,
2,
2,
2,
3,
5,
5,
4,
4,
4,
2,
2,
3,
4,
3,
1,
4,
2,
4,
4,
2,
4,
3,
3,
4,
2,
4,
3,
4,
4,
4,
5,
4,
3,
4,
4,
4,
4,
4,
3,
4,
4,
5,
2,
2,
3,
4,
3,
2,
2,
2,
4,
2,
4,
4,
2,
2,
3,
2,
4,
3,
2,
2,
4,
2,
4,
2,
4,
4,
2,
4,
3,
2,
2,
4,
3,
2,
4,
2,
4,
4,
4,
4,
3,
2,
4,
2,
2,
3,
2,
3,
3,
4,
4,
3,
4,
5,
3,
3,
2,
3,
3,
3,
3,
2,
5,
5,
5,
3,
2,
2,
2,
2,
2,
5,
1,
2,
4,
1,
6,
1,
3,
4,
7,
2,
8,
2,
3,
3,
2,
2,
4,
3,
4,
2,
3,
2,
3,
2,
4,
2,
3,
4,
2,
3,
4,
2,
4,
4,
4,
2,
2,
2,
5,
2,
3,
3,
3,
3,
3,
2,
2,
3,
3,
4,
3,
4,
4,
2,
2,
2,
4,
3,
3,
4,
4,
2,
4,
4,
3,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
4,
4,
4,
5,
4,
2,
2,
3,
2,
4,
3,
1,
3,
4,
2,
2,
4,
4,
4,
4,
3,
3,
3,
4,
4,
6,
4,
2,
2,
4,
4,
2,
2,
6,
6,
3,
3,
2,
2,
2,
2,
3,
4,
4,
3,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
3,
2,
4,
2,
4,
2,
2,
4,
4,
2,
2,
4,
4,
3,
3,
3,
2,
2,
5,
3,
1,
4,
2,
3,
2,
4,
4,
4,
4,
4,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
5,
5,
5,
4,
2,
5,
2,
2,
5,
3,
3,
5,
5,
3,
5,
3,
8,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
5,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
3,
2,
2,
3,
2,
4,
5,
4,
4,
3,
4,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
5,
2,
3,
3,
4,
5,
5,
3,
9,
3,
2,
2,
3,
3,
4,
3,
2,
3,
2,
3,
2,
2,
4,
4,
3,
5,
6,
4,
3,
2,
5,
4,
2,
3,
2,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
5,
5,
5,
2,
4,
3,
3,
3,
3,
3,
2,
4,
3,
3,
2,
4,
4,
2,
3,
2,
2,
3,
2,
2,
2,
3,
2,
3,
2,
4,
4,
2,
3,
8,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
3,
2,
3,
2,
3,
4,
3,
2,
3,
3,
1,
3,
6,
2,
2,
2,
3,
2,
3,
2,
2,
3,
3,
4,
2,
2,
2,
2,
3,
2,
3,
3,
5,
5,
3,
2,
2,
6,
2,
2,
2,
3,
4,
6,
3,
4,
4,
1,
2,
2,
4,
2,
1,
3,
2,
3,
3,
2,
2,
4,
3,
4,
5,
3,
3,
3,
5,
7,
3,
2,
2,
2,
5,
4,
2,
2,
3,
5,
2,
2,
2,
3,
5,
4,
1,
2,
2,
2,
2,
9,
2,
3,
3,
3,
4,
2,
2,
3,
3,
3,
2,
1,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
1,
2,
1,
3,
3,
2,
2,
2,
2,
3,
3,
2,
3,
4,
5,
3,
3,
2,
2,
2,
2,
2,
1,
4,
2,
5,
5,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
2,
1,
2,
3,
3,
3,
4,
4,
4,
3,
2,
3,
3,
2,
3,
3,
3,
2,
4,
4,
3,
3,
4,
3,
3,
5,
2,
2,
2,
2,
5,
3,
2,
4,
4,
2,
2,
3,
2,
2,
3,
4,
2,
2,
3,
4,
3,
4,
4,
4,
3,
2,
2,
2,
4,
4,
3,
2,
4,
2,
1,
2,
2,
1,
2,
2,
4,
4,
2,
2,
4,
4,
3,
3,
3,
4,
2,
2,
2,
2,
4,
3,
4,
5,
3,
2,
4,
4,
4,
3,
4,
4,
8,
3,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
2,
3,
3,
3,
4,
3,
1,
3,
3,
5,
3,
3,
2,
2,
1,
2,
2,
3,
3,
3,
5,
2,
3,
4,
3,
2,
2,
4,
2,
3,
5,
2,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
5,
3,
6,
3,
4,
2,
3,
3,
2,
2,
3,
2,
4,
2,
2,
3,
2,
5,
3,
4,
2,
3,
2,
2,
2,
4,
3,
3,
3,
2,
2,
3,
4,
4,
2,
4,
3,
4,
2,
4,
3,
2,
4,
3,
3,
4,
4,
4,
4,
4,
6,
2,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
6,
5,
4,
6,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
5,
6,
4,
4,
2,
4,
2,
4,
2,
3,
2,
3,
7,
2,
2,
6,
4,
4,
3,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
4,
2,
2,
2,
3,
3,
3,
2,
2,
4,
3,
3,
3,
2,
2,
2,
2,
2,
3,
4,
2,
2,
6,
3,
3,
3,
2,
3,
4,
2,
3,
4,
3,
3,
4,
4,
4,
5,
5,
4,
2,
3,
2,
3,
6,
4,
4,
5,
6,
4,
3,
3,
4,
3,
3,
5,
3,
2,
2,
2,
2,
2,
4,
2,
3,
2,
5,
2,
3,
4,
5,
3,
3,
2,
3,
3,
4,
3,
3,
4,
4,
4,
3,
2,
4,
6,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
1,
2,
3,
6,
4,
2,
2,
2,
2,
4,
3,
2,
2,
4,
4,
2,
3,
2,
8,
5,
2,
2,
2,
4,
1,
4,
3,
3,
3,
5,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
4,
4,
4,
3,
5,
2,
4,
4,
3,
3,
5,
4,
2,
5,
4,
2,
4,
1,
2,
2,
4,
2,
3,
5,
3,
2,
2,
2,
4,
2,
3,
2,
2,
3,
4,
4,
3,
3,
3,
3,
2,
3,
3,
2,
3,
7,
6,
3,
3,
3,
2,
3,
2,
2,
6,
2,
5,
3,
2,
4,
4,
2,
5,
5,
2,
4,
3,
3,
5,
3,
3,
2,
5,
3,
2,
2,
2,
2,
6,
3,
4,
4,
7,
3,
3,
4,
2,
3,
3,
1,
3,
2,
1,
4,
3,
3,
3,
3,
5,
2,
2,
2,
2,
3,
2,
1,
3,
2,
3,
3,
2,
3,
4,
5,
2,
3,
4,
4,
3,
5,
2,
4,
3,
4,
4,
3,
3,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
6,
3,
4,
4,
2,
3,
3,
2,
2,
3,
4,
4,
4,
4,
5,
3,
4,
2,
3,
2,
3,
3,
8,
2,
2,
2,
3,
4,
2,
3,
2,
2,
2,
5,
2,
2,
2,
2,
2,
3,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
6,
2,
3,
3,
3,
3,
3,
3,
4,
4,
6,
4,
5,
3,
2,
3,
2,
4,
2,
4,
2,
4,
4,
3,
2,
4,
2,
2,
3,
3,
3,
2,
4,
2,
3,
4,
2,
1,
4,
2,
3,
2,
5,
2,
3,
3,
5,
2,
4,
3,
4,
3,
4,
2,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
4,
5,
5,
2,
2,
3,
2,
2,
2,
1,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
3,
3,
4,
5,
5,
2,
3,
4,
2,
4,
4,
2,
2,
3,
2,
4,
2,
4,
5,
4,
2,
2,
5,
3,
2,
4,
5,
2,
2,
3,
2,
2,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
7,
6,
6,
3,
4,
4,
2,
5,
2,
2,
3,
2,
2,
4,
1,
2,
2,
3,
5,
4,
2,
5,
4,
4,
5,
4,
4,
3,
3,
3,
4,
3,
2,
3,
5,
5,
3,
5,
3,
4,
3,
5,
5,
3,
3,
2,
2,
2,
3,
2,
5,
4,
4,
4,
4,
5,
2,
4,
5,
3,
3,
4,
3,
3,
2,
6,
2,
2,
3,
3,
3,
3,
2,
4,
4,
2,
4,
2,
4,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
2,
3,
4,
3,
5,
5,
5,
4,
4,
3,
4,
3,
3,
3,
1,
3,
3,
3,
3,
2,
4,
3,
6,
4,
2,
2,
2,
2,
6,
3,
4,
4,
2,
4,
3,
5,
2,
2,
2,
3,
1,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
6,
3,
3,
4,
4,
3,
4,
4,
6,
6,
6,
3,
3,
2,
4,
3,
2,
2,
2,
3,
4,
2,
2,
3,
4,
4,
8,
3,
4,
3,
2,
3,
4,
6,
2,
3,
3,
4,
2,
4,
4,
3,
3,
5,
3,
3,
4,
3,
3,
4,
3,
3,
2,
2,
4,
2,
2,
4,
2,
2,
4,
4,
3,
2,
2,
4,
2,
2,
4,
4,
3,
5,
5,
1,
2,
4,
4,
3,
3,
4,
5,
4,
4,
2,
2,
4,
4,
4,
5,
4,
4,
5,
2,
4,
3,
2,
3,
3,
4,
6,
4,
3,
2,
2,
4,
8,
5,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
7,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
5,
6,
2,
2,
2,
3,
2,
3,
4,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
2,
3,
2,
2,
2,
3,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
4,
4,
4,
3,
4,
2,
3,
4,
4,
4,
4,
4,
3,
4,
2,
3,
3,
2,
2,
3,
2,
2,
2,
3,
4,
2,
2,
2,
4,
6,
4,
4,
4,
2,
2,
2,
4,
2,
3,
5,
3,
4,
1,
5,
2,
5,
3,
3,
3,
2,
3,
1,
3,
5,
3,
2,
2,
2,
2,
3,
2,
2,
2,
3,
4,
2,
2,
4,
4,
4,
5,
3,
4,
4,
2,
5,
4,
4,
5,
4,
4,
3,
4,
3,
4,
2,
4,
2,
2,
3,
2,
2,
1,
3,
7,
4,
5,
3,
4,
2,
4,
4,
2,
5,
4,
3,
3,
4,
4,
8,
2,
4,
3,
4,
3,
2,
4,
3,
6,
4,
4,
4,
5,
4,
2,
4,
4,
2,
2,
3,
3,
5,
4,
2,
3,
3,
4,
3,
3,
3,
7,
4,
4,
5,
2,
4,
2,
5,
2,
2,
6,
2,
3,
6,
3,
4,
3,
2,
3,
3,
2,
3,
3,
2,
4,
5,
2,
4,
4,
5,
2,
2,
4,
3,
4,
4,
2,
2,
2,
2,
7,
2,
4,
3,
4,
3,
2,
3,
4,
2,
3,
2,
2,
4,
5,
4,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
7,
4,
4,
2,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
8,
3,
2,
3,
2,
4,
2,
3,
2,
5,
4,
3,
3,
2,
2,
1,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
3,
4,
5,
4,
2,
3,
5,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
3,
4,
2,
4,
6,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
4,
5,
4,
3,
3,
3,
2,
3,
5,
3,
2,
2,
4,
3,
3,
2,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
3,
2,
4,
4,
4,
4,
4,
5,
3,
5,
3,
4,
4,
2,
2,
3,
3,
2,
2,
2,
3,
2,
3,
4,
2,
2,
4,
4,
5,
4,
4,
3,
4,
3,
4,
4,
2,
2,
3,
3,
2,
2,
2,
4,
3,
4,
3,
2,
4,
3,
4,
5,
3,
4,
4,
4,
4,
3,
2,
2,
6,
2,
3,
3,
3,
3,
3,
2,
4,
3,
4,
8,
2,
5,
3,
3,
7,
3,
2,
3,
4,
2,
3,
4,
3,
2,
5,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
2,
3,
2,
2,
3,
2,
8,
4,
3,
2,
1,
3,
2,
2,
2,
2,
2,
2,
3,
5,
2,
4,
2,
2,
3,
4,
4,
4,
2,
3,
4,
2,
3,
3,
5,
3,
3,
4,
5,
1,
3,
6,
3,
3,
3,
3,
4,
3,
3,
2,
2,
5,
2,
4,
2,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
4,
2,
2,
2,
2,
3,
2,
6,
2,
2,
3,
2,
2,
1,
2,
2,
2,
2,
3,
2,
2,
3,
4,
5,
2,
3,
2,
4,
2,
2,
2,
3,
4,
3,
4,
4,
2,
5,
2,
2,
3,
1,
3,
2,
2,
6,
2,
2,
3,
3,
3,
3,
3,
3,
6,
1,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
1,
4,
3,
5,
3,
4,
6,
4,
4,
3,
3,
2,
3,
3,
4,
3,
2,
2,
2,
3,
3,
2,
4,
2,
2,
2,
5,
4,
2,
4,
6,
2,
2,
2,
3,
2,
2,
4,
3,
2,
3,
3,
4,
3,
3,
3,
3,
2,
2,
3,
2,
3,
4,
2,
4,
4,
4,
3,
2,
5,
4,
3,
4,
5,
5,
3,
3,
3,
2,
3,
3,
3,
2,
6,
2,
4,
4,
4,
2,
3,
2,
3,
4,
3,
2,
2,
2,
2,
4,
3,
2,
3,
3,
2,
2,
3,
5,
5,
3,
5,
4,
3,
3,
6,
4,
3,
2,
4,
2,
4,
2,
2,
4,
2,
3,
4,
3,
2,
3,
5,
3,
4,
5,
3,
4,
2,
3,
2,
2,
3,
7,
3,
4,
4,
4,
4,
2,
2,
4,
4,
3,
2,
3,
3,
2,
3,
5,
3,
3,
3,
2,
2,
3,
3,
3,
3,
1,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
3,
2,
4,
3,
4,
3,
6,
4,
2,
4,
2,
4,
4,
4,
3,
2,
4,
7,
4,
2,
5,
5,
4,
2,
2,
3,
5,
3,
2,
2,
2,
3,
3,
4,
2,
1,
2,
3,
2,
2,
4,
3,
4,
1,
4,
4,
2,
3,
2,
4,
5,
2,
4,
3,
3,
2,
2,
3,
3,
3,
3,
2,
2,
4,
4,
2,
2,
2,
3,
2,
3,
3,
5,
3,
2,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
3,
2,
3,
3,
4,
2,
2,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
3,
4,
4,
4,
2,
4,
3,
3,
4,
3,
3,
4,
2,
4,
3,
5,
3,
3,
5,
4,
4,
4,
3,
4,
2,
5,
5,
5,
2,
1,
2,
2,
2,
2,
3,
4,
4,
2,
4,
6,
4,
5,
1,
5,
5,
4,
3,
4,
1,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
2,
6,
6,
4,
3,
2,
3,
3,
4,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
1,
4,
3,
4,
4,
3,
4,
2,
2,
2,
3,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
5,
4,
5,
4,
4,
5,
4,
5,
3,
3,
2,
2,
4,
4,
4,
4,
3,
2,
3,
3,
3,
2,
4,
2,
6,
3,
2,
2,
4,
4,
3,
3,
3,
3,
4,
4,
2,
4,
3,
1,
2,
4,
4,
4,
4,
2,
2,
2,
3,
5,
4,
3,
4,
4,
3,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
6,
6,
2,
2,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
3,
2,
4,
4,
2,
2,
5,
5,
4,
3,
4,
2,
2,
2,
3,
3,
5,
5,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
5,
3,
3,
3,
3,
2,
2,
4,
2,
2,
4,
3,
3,
3,
3,
2,
4,
4,
6,
6,
3,
2,
2,
3,
3,
2,
3,
4,
3,
3,
4,
5,
3,
3,
3,
2,
2,
2,
3,
1,
4,
3,
3,
4,
3,
3,
2,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
2,
2,
2,
3,
3,
3,
3,
3,
2,
4,
3,
3,
3,
4,
4,
3,
4,
2,
2,
5,
2,
3,
3,
5,
3,
2,
2,
2,
3,
3,
5,
2,
4,
4,
4,
3,
2,
3,
4,
2,
1,
1,
2,
1,
1,
2,
2,
3,
3,
3,
2,
5,
3,
2,
3,
3,
3,
2,
2,
6,
3,
4,
6,
6,
2,
2,
2,
4,
5,
2,
2,
4,
2,
2,
2,
2,
3,
4,
4,
2,
4,
2,
3,
4,
4,
4,
2,
2,
3,
3,
2,
3,
2,
3,
2,
4,
2,
4,
3,
3,
1,
4,
4,
2,
4,
2,
2,
2,
4,
6,
4,
2,
4,
2,
2,
3,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
6,
2,
5,
2,
3,
4,
3,
3,
3,
3,
4,
3,
6,
4,
4,
4,
2,
3,
6,
2,
2,
2,
3,
4,
2,
3,
3,
3,
2,
2,
3,
3,
4,
4,
4,
4,
3,
5,
2,
4,
6,
2,
3,
2,
3,
3,
5,
5,
3,
3,
4,
3,
4,
4,
5,
3,
3,
3,
2,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
4,
2,
6,
4,
5,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
3,
3,
4,
7,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
5,
6,
4,
5,
3,
4,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
5,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
4,
2,
3,
5,
5,
3,
4,
4,
3,
3,
5,
4,
3,
3,
1,
5,
2,
4,
4,
2,
2,
2,
3,
2,
2,
2,
5,
2,
3,
2,
3,
2,
1,
3,
2,
4,
2,
4,
3,
4,
2,
3,
3,
5,
4,
3,
2,
2,
3,
2,
3,
2,
4,
7,
4,
4,
4,
4,
4,
6,
2,
2,
5,
2,
2,
2,
3,
4,
3,
2,
4,
2,
2,
2,
2,
4,
4,
4,
3,
2,
2,
4,
3,
2,
3,
2,
3,
3,
2,
6,
3,
2,
4,
3,
3,
2,
2,
5,
3,
6,
4,
2,
2,
2,
3,
2,
2,
4,
3,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
3,
4,
5,
5,
3,
4,
5,
3,
4,
4,
4,
4,
3,
4,
4,
7,
4,
6,
4,
3,
4,
4,
4,
4,
2,
2,
4,
2,
2,
2,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
5,
3,
4,
2,
3,
4,
3,
3,
4,
4,
4,
2,
3,
3,
3,
3,
3,
6,
3,
3,
3,
3,
2,
2,
3,
4,
3,
3,
3,
3,
2,
3,
2,
2,
2,
5,
4,
2,
2,
4,
3,
3,
3,
2,
3,
8,
2,
2,
1,
2,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
4,
2,
5,
2,
3,
4,
3,
4,
3,
2,
1,
4,
2,
3,
4,
2,
2,
2,
2,
4,
4,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
1,
1,
1,
2,
1,
5,
5,
3,
4,
4,
2,
3,
4,
4,
4,
5,
6,
6,
2,
4,
4,
2,
4,
3,
4,
4,
4,
4,
5,
4,
1,
5,
4,
4,
3,
2,
4,
4,
4,
2,
3,
4,
4,
2,
2,
4,
3,
2,
3,
3,
5,
3,
2,
2,
2,
2,
4,
4,
2,
3,
3,
4,
5,
5,
4,
2,
6,
4,
2,
2,
2,
5,
3,
2,
2,
2,
2,
1,
2,
3,
3,
2,
2,
2,
3,
2,
4,
3,
4,
3,
2,
2,
4,
3,
2,
5,
1,
2,
3,
2,
6,
3,
2,
3,
2,
2,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
4,
4,
4,
3,
3,
5,
5,
4,
4,
4,
4,
3,
6,
4,
4,
2,
2,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
5,
3,
3,
2,
2,
7,
6,
4,
4,
2,
3,
5,
4,
4,
4,
6,
4,
4,
4,
4,
4,
5,
2,
2,
3,
3,
3,
2,
2,
3,
2,
3,
2,
7,
2,
3,
3,
2,
3,
2,
2,
3,
2,
3,
3,
3,
2,
3,
6,
3,
3,
3,
3,
5,
6,
2,
4,
4,
3,
4,
3,
2,
2,
3,
4,
3,
8,
2,
2,
2,
3,
2,
2,
7,
1,
2,
2,
2,
4,
4,
4,
2,
2,
4,
2,
2,
2,
4,
2,
4,
3,
3,
3,
4,
2,
4,
3,
4,
4,
3,
2,
2,
5,
5,
3,
4,
3,
3,
2,
4,
4,
2,
5,
2,
3,
3,
3,
3,
3,
3,
3,
4,
5,
3,
3,
7,
3,
4,
3,
2,
2,
2,
3,
3,
4,
3,
4,
3,
3,
3,
3,
3,
3,
2,
5,
5,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
2,
2,
2,
5,
4,
4,
2,
4,
3,
3,
3,
3,
5,
5,
2,
2,
5,
2,
4,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
2,
3,
2,
3,
3,
3,
2,
2,
2,
4,
4,
9,
4,
4,
3,
3,
3,
2,
2,
3,
8,
3,
4,
3,
3,
6,
5,
2,
2,
2,
4,
2,
2,
3,
4,
3,
3,
2,
4,
2,
2,
4,
4,
2,
4,
2,
4,
4,
3,
2,
2,
4,
4,
2,
2,
4,
3,
2,
2,
4,
2,
2,
4,
5,
2,
4,
6,
5,
3,
3,
3,
3,
2,
3,
3,
2,
2,
3,
4,
7,
5,
5,
3,
3,
3,
3,
2,
4,
3,
4,
5,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
4,
2,
3,
2,
2,
3,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
3,
4,
2,
5,
3,
4,
3,
2,
2,
4,
2,
2,
5,
5,
2,
3,
2,
4,
4,
4,
2,
2,
4,
2,
3,
2,
3,
2,
3,
3,
4,
4,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
2,
2,
4,
4,
3,
3,
2,
2,
2,
4,
4,
2,
2,
3,
4,
4,
4,
4,
2,
2,
3,
2,
3,
3,
2,
3,
2,
3,
2,
2,
4,
4,
3,
2,
5,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
4,
2,
4,
3,
3,
3,
2,
2,
3,
1,
3,
2,
2,
3,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
4,
2,
2,
4,
5,
3,
3,
5,
1,
3,
2,
3,
3,
4,
4,
4,
2,
4,
4,
3,
3,
3,
5,
3,
3,
2,
2,
4,
2,
3,
1,
4,
5,
3,
3,
4,
3,
2,
6,
5,
3,
2,
3,
3,
2,
2,
2,
2,
3,
5,
2,
2,
2,
2,
2,
2,
3,
3,
3,
1,
3,
3,
3,
2,
2,
2,
4,
3,
3,
2,
3,
3,
2,
5,
2,
2,
3,
2,
3,
4,
1,
2,
3,
2,
2,
3,
5,
3,
3,
3,
6,
4,
4,
4,
3,
3,
5,
3,
3,
4,
5,
6,
4,
4,
4,
2,
4,
4,
4,
2,
4,
3,
3,
4,
2,
2,
2,
2,
2,
3,
2,
2,
4,
3,
5,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
2,
2,
2,
3,
4,
2,
4,
4,
4,
2,
4,
2,
2,
3,
4,
6,
4,
5,
2,
2,
2,
2,
5,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
3,
2,
5,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
6,
4,
5,
2,
2,
3,
2,
4,
3,
2,
4,
2,
3,
3,
3,
5,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
3,
4,
5,
2,
3,
2,
2,
5,
5,
2,
3,
4,
2,
4,
4,
6,
4,
2,
2,
2,
3,
3,
4,
4,
4,
2,
4,
4,
5,
5,
5,
3,
7,
2,
2,
2,
4,
4,
4,
6,
1,
3,
2,
4,
4,
3,
2,
3,
3,
3,
3,
3,
4,
3,
4,
3,
3,
3,
4,
3,
4,
4,
4,
2,
2,
4,
1,
2,
5,
5,
4,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
4,
2,
2,
3,
2,
2,
2,
4,
3,
3,
4,
2,
5,
2,
2,
3,
3,
2,
3,
3,
2,
2,
3,
3,
2,
2,
2,
3,
4,
3,
3,
3,
4,
4,
4,
6,
4,
4,
4,
4,
3,
3,
6,
6,
6,
5,
2,
4,
3,
2,
3,
4,
3,
6,
3,
3,
3,
3,
2,
2,
2,
2,
6,
4,
2,
3,
2,
2,
3,
6,
6,
4,
3,
2,
2,
2,
6,
3,
2,
4,
3,
2,
4,
4,
5,
4,
2,
2,
4,
3,
2,
2,
4,
4,
4,
2,
2,
4,
2,
3,
2,
2,
2,
3,
2,
2,
4,
3,
3,
2,
3,
3,
4,
3,
3,
3,
3,
2,
2,
3,
2,
3,
4,
3,
4,
3,
2,
2,
3,
3,
2,
4,
3,
2,
3,
2,
2,
2,
2,
2,
4,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
1,
1,
2,
2,
2,
2,
2,
2,
6,
4,
2,
3,
3,
3,
1,
3,
3,
1,
5,
4,
6,
6,
2,
1,
3,
2,
2,
2,
1,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
1,
3,
4,
4,
4,
2,
2,
2,
3,
2,
3,
2,
2,
2,
4,
1,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
3,
2,
2,
3,
7,
1,
3,
3,
3,
4,
6,
3,
2,
3,
3,
3,
4,
3,
2,
2,
2,
2,
5,
2,
2,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
2,
2,
2,
3,
2,
3,
3,
3,
2,
4,
4,
3,
2,
3,
2,
2,
2,
2,
2,
4,
2,
3,
6,
4,
2,
3,
3,
2,
2,
4,
4,
3,
2,
3,
4,
2,
3,
2,
3,
1,
2,
3,
4,
4,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
2,
4,
4,
2,
4,
4,
2,
2,
2,
3,
4,
3,
2,
4,
4,
3,
1,
4,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
6,
3,
4,
4,
3,
4,
3,
3,
5,
3,
3,
3,
3,
3,
4,
5,
3,
4,
2,
2,
3,
2,
2,
3,
4,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
5,
3,
2,
3,
2,
2,
3,
3,
2,
2,
4,
3,
2,
4,
1,
3,
4,
2,
2,
4,
2,
2,
2,
4,
2,
2,
2,
3,
2,
3,
3,
3,
3,
5,
3,
2,
5,
4,
2,
7,
6,
6,
5,
3,
4,
2,
2,
5,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
2,
5,
5,
6,
4,
3,
3,
2,
4,
4,
2,
3,
5,
4,
5,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
6,
3,
3,
4,
3,
4,
3,
2,
3,
4,
3,
5,
5,
2,
2,
2,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
3,
6,
3,
3,
5,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
3,
2,
2,
3,
3,
2,
4,
2,
2,
2,
4,
3,
4,
4,
4,
3,
4,
4,
2,
4,
2,
3,
4,
4,
2,
2,
2,
4,
3,
4,
4,
2,
2,
3,
2,
3,
2,
3,
2,
2,
4,
3,
3,
2,
4,
2,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
4,
4,
3,
4,
2,
3,
4,
3,
2,
2,
2,
1,
3,
3,
6,
5,
3,
3,
3,
3,
2,
4,
3,
2,
3,
2,
1,
2,
2,
3,
2,
2,
2,
2,
3,
1,
3,
3,
3,
1,
3,
4,
4,
4,
3,
4,
4,
3,
3,
3,
3,
2,
3,
2,
2,
3,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
3,
7,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
5,
4,
2,
4,
5,
2,
2,
2,
7,
7,
2,
2,
2,
2,
2,
3,
2,
2,
4,
3,
3,
3,
3,
4,
5,
2,
4,
3,
3,
2,
4,
2,
3,
3,
3,
4,
4,
2,
2,
4,
2,
2,
3,
4,
4,
2,
2,
4,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
5,
3,
3,
4,
2,
4,
4,
2,
3,
2,
3,
3,
4,
2,
2,
4,
4,
3,
3,
3,
2,
2,
2,
4,
3,
4,
3,
4,
4,
3,
4,
2,
4,
3,
4,
2,
3,
2,
5,
3,
2,
3,
3,
2,
2,
2,
2,
4,
4,
2,
3,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
3,
5,
3,
2,
2,
2,
2,
4,
2,
4,
6,
4,
4,
2,
2,
3,
4,
4,
2,
4,
4,
2,
4,
3,
3,
3,
2,
2,
2,
5,
4,
4,
5,
2,
2,
2,
3,
3,
4,
3,
2,
2,
4,
2,
4,
2,
4,
2,
2,
3,
3,
3,
2,
3,
4,
4,
2,
2,
2,
2,
1,
3,
1,
2,
3,
3,
4,
3,
3,
3,
3,
4,
4,
4,
3,
4,
6,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
2,
5,
3,
3,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
4,
4,
4,
2,
4,
3,
2,
3,
3,
3,
2,
5,
2,
1,
4,
2,
3,
2,
2,
1,
2,
4,
2,
2,
3,
2,
3,
4,
3,
5,
3,
3,
4,
4,
3,
3,
4,
3,
4,
5,
3,
3,
3,
2,
2,
4,
4,
4,
3,
3,
4,
4,
2,
2,
3,
2,
5,
3,
3,
4,
4,
4,
2,
2,
2,
4,
2,
3,
2,
2,
2,
2,
2,
3,
1,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
3,
4,
3,
4,
4,
4,
4,
7,
5,
2,
4,
4,
3,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
5,
4,
4,
2,
2,
2,
2,
4,
2,
3,
3,
3,
2,
3,
3,
7,
2,
2,
5,
4,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
4,
4,
3,
3,
4,
4,
4,
5,
3,
5,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
2,
1,
3,
3,
2,
2,
5,
3,
3,
4,
4,
4,
6,
4,
2,
2,
4,
6,
5,
3,
3,
2,
4,
5,
2,
4,
3,
5,
4,
5,
2,
2,
2,
5,
7,
4,
3,
3,
2,
4,
3,
3,
2,
2,
2,
4,
5,
3,
5,
4,
4,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
4,
3,
2,
5,
2,
1,
2,
4,
3,
4,
4,
2,
2,
2,
6,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
3,
1,
2,
7,
4,
3,
3,
4,
3,
3,
4,
7,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
4,
4,
3,
2,
4,
3,
4,
4,
4,
4,
2,
5,
3,
4,
2,
2,
4,
4,
2,
2,
5,
2,
2,
5,
4,
3,
3,
2,
3,
3,
3,
4,
4,
5,
2,
3,
3,
2,
3,
4,
2,
3,
3,
9,
4,
5,
3,
5,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
5,
4,
3,
2,
4,
4,
4,
4,
3,
5,
2,
5,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
3,
3,
4,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
3,
4,
3,
2,
3,
3,
5,
4,
5,
4,
4,
3,
7,
2,
4,
2,
2,
6,
4,
3,
4,
2,
2,
2,
3,
2,
3,
3,
4,
3,
3,
2,
2,
6,
3,
5,
3,
3,
3,
2,
2,
4,
2,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
1,
2,
4,
4,
3,
5,
3,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
3,
4,
2,
2,
2,
2,
3,
2,
2,
3,
2,
4,
5,
4,
2,
2,
3,
2,
2,
4,
6,
4,
2,
3,
3,
5,
2,
2,
2,
2,
1,
3,
4,
3,
3,
3,
3,
1,
4,
2,
2,
2,
2,
2,
4,
4,
1,
4,
4,
3,
4,
4,
5,
3,
4,
4,
4,
2,
2,
3,
2,
3,
4,
3,
3,
4,
5,
4,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
5,
3,
6,
4,
4,
3,
3,
3,
3,
4,
2,
4,
2,
2,
3,
4,
5,
2,
3,
2,
2,
4,
3,
6,
4,
4,
4,
4,
2,
3,
2,
2,
2,
3,
2,
3,
4,
4,
3,
5,
3,
5,
5,
3,
3,
7,
3,
2,
2,
3,
2,
4,
4,
3,
2,
4,
2,
6,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
3,
5,
3,
2,
2,
4,
4,
3,
4,
2,
2,
4,
2,
3,
3,
3,
2,
2,
4,
4,
4,
2,
2,
2,
2,
3,
2,
3,
3,
4,
4,
5,
4,
4,
5,
2,
3,
4,
5,
3,
3,
3,
3,
4,
4,
5,
2,
2,
2,
2,
3,
3,
2,
3,
3,
6,
6,
4,
5,
4,
5,
3,
2,
2,
3,
2,
4,
3,
4,
2,
4,
4,
3,
3,
5,
4,
4,
4,
2,
2,
3,
2,
3,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
5,
4,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
1,
2,
2,
4,
4,
4,
4,
4,
4,
4,
5,
5,
2,
2,
4,
4,
2,
2,
2,
4,
4,
2,
3,
4,
4,
4,
4,
5,
4,
4,
2,
2,
4,
3,
1,
7,
2,
2,
4,
2,
2,
4,
4,
4,
4,
3,
4,
3,
2,
3,
3,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
9,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
1,
1,
2,
2,
3,
5,
4,
2,
2,
2,
3,
2,
4,
3,
3,
3,
2,
5,
3,
2,
2,
2,
3,
3,
2,
5,
4,
4,
4,
2,
2,
2,
2,
3,
4,
2,
2,
4,
4,
4,
2,
3,
6,
2,
4,
3,
3,
2,
3,
2,
4,
3,
5,
2,
2,
1,
3,
3,
2,
4,
2,
4,
2,
4,
4,
6,
2,
4,
4,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
5,
3,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
5,
4,
3,
4,
4,
2,
4,
2,
4,
4,
3,
6,
3,
6,
5,
4,
8,
5,
3,
3,
3,
4,
2,
2,
2,
2,
2,
1,
4,
2,
3,
4,
5,
4,
2,
2,
4,
4,
4,
2,
2,
3,
6,
4,
4,
2,
9,
4,
5,
2,
4,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
2,
2,
2,
3,
3,
2,
1,
3,
3,
4,
3,
2,
1,
3,
2,
2,
4,
6,
2,
2,
2,
2,
2,
2,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
2,
2,
5,
3,
4,
6,
2,
1,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
2,
5,
3,
4,
4,
2,
3,
4,
2,
2,
2,
4,
4,
4,
5,
4,
2,
2,
4,
4,
4,
4,
4,
6,
2,
2,
5,
3,
3,
1,
3,
3,
3,
3,
4,
2,
2,
2,
3,
3,
1,
2,
1,
4,
1,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
2,
3,
4,
3,
3,
4,
4,
2,
5,
4,
6,
2,
3,
4,
4,
2,
2,
3,
2,
2,
2,
4,
2,
3,
3,
2,
5,
3,
2,
4,
2,
3,
3,
3,
1,
3,
3,
4,
5,
5,
5,
2,
2,
4,
3,
2,
3,
2,
2,
2,
6,
2,
4,
2,
4,
4,
4,
2,
5,
3,
4,
4,
4,
4,
3,
4,
2,
4,
4,
3,
2,
2,
1,
3,
3,
5,
2,
3,
4,
2,
4,
2,
1,
2,
2,
4,
4,
5,
3,
3,
3,
2,
2,
2,
4,
3,
3,
4,
2,
3,
3,
4,
3,
2,
2,
2,
4,
3,
6,
4,
2,
4,
5,
4,
4,
4,
2,
2,
4,
2,
3,
2,
3,
4,
4,
4,
2,
2,
4,
5,
2,
4,
3,
4,
4,
2,
2,
4,
3,
4,
2,
3,
1,
3,
3,
2,
2,
2,
1,
2,
2,
2,
2,
3,
2,
2,
5,
4,
2,
2,
5,
2,
4,
3,
3,
4,
4,
3,
4,
4,
4,
3,
2,
3,
3,
2,
2,
3,
4,
3,
3,
4,
2,
3,
1,
4,
2,
2,
3,
4,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
2,
3,
4,
2,
4,
4,
5,
2,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
2,
6,
4,
4,
3,
2,
3,
4,
2,
3,
3,
5,
3,
2,
2,
4,
5,
2,
2,
2,
5,
3,
4,
4,
4,
4,
3,
5,
7,
2,
4,
2,
4,
4,
2,
4,
3,
2,
2,
2,
2,
2,
4,
3,
3,
2,
4,
4,
4,
5,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
4,
4,
4,
2,
2,
2,
2,
3,
3,
2,
1,
3,
3,
3,
2,
3,
2,
2,
4,
3,
5,
3,
2,
3,
4,
2,
4,
2,
2,
2,
2,
4,
2,
2,
3,
3,
4,
4,
3,
3,
4,
3,
4,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
7,
6,
6,
3,
3,
4,
4,
2,
4,
3,
3,
5,
2,
4,
2,
2,
5,
5,
3,
2,
3,
4,
4,
2,
5,
3,
3,
4,
2,
2,
2,
4,
5,
2,
2,
3,
2,
3,
3,
4,
3,
3,
3,
2,
4,
3,
3,
3,
4,
4,
3,
3,
4,
3,
2,
7,
6,
2,
4,
3,
3,
6,
5,
4,
4,
5,
6,
3,
3,
4,
2,
2,
2,
3,
2,
3,
4,
3,
3,
3,
3,
3,
3,
2,
4,
2,
6,
3,
2,
5,
3,
4,
1,
1,
3,
3,
1,
1,
1,
3,
2,
4,
4,
2,
3,
2,
2,
4,
2,
2,
2,
4,
4,
4,
4,
3,
2,
3,
3,
2,
2,
5,
5,
3,
2,
2,
2,
3,
4,
4,
3,
2,
5,
2,
2,
4,
2,
5,
2,
4,
2,
2,
4,
4,
2,
1,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
6,
4,
4,
4,
5,
5,
4,
4,
3,
3,
5,
4,
3,
4,
3,
3,
3,
2,
4,
2,
3,
2,
1,
4,
3,
3,
4,
2,
2,
4,
3,
2,
2,
2,
4,
4,
4,
2,
3,
2,
3,
4,
3,
4,
3,
2,
2,
3,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
7,
5,
5,
4,
5,
2,
2,
4,
2,
4,
2,
3,
4,
4,
4,
4,
3,
4,
2,
5,
2,
4,
5,
2,
2,
3,
2,
2,
2,
2,
2,
5,
4,
5,
4,
4,
4,
4,
5,
3,
3,
3,
3,
4,
3,
2,
3,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
3,
3,
3,
2,
2,
1,
2,
5,
4,
3,
3,
2,
3,
3,
5,
3,
3,
3,
6,
5,
3,
4,
2,
2,
2,
6,
4,
3,
3,
4,
4,
3,
3,
5,
4,
4,
4,
4,
3,
4,
2,
2,
3,
2,
3,
3,
2,
4,
2,
2,
4,
3,
2,
4,
2,
7,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
3,
4,
3,
2,
4,
6,
3,
4,
4,
4,
3,
2,
4,
4,
4,
2,
5,
3,
4,
7,
4,
4,
3,
2,
3,
2,
4,
3,
4,
2,
2,
2,
2,
1,
2,
4,
4,
3,
2,
4,
3,
4,
6,
4,
3,
4,
4,
3,
2,
2,
4,
3,
2,
4,
3,
3,
3,
2,
3,
3,
4,
4,
3,
2,
2,
4,
3,
2,
2,
3,
3,
3,
2,
2,
2,
4,
2,
4,
3,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
3,
4,
3,
2,
3,
4,
4,
5,
4,
4,
5,
2,
3,
3,
3,
4,
2,
4,
2,
2,
2,
6,
2,
4,
2,
2,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
3,
2,
2,
2,
4,
4,
3,
4,
2,
4,
4,
2,
5,
4,
4,
2,
5,
5,
2,
5,
5,
6,
3,
3,
2,
6,
4,
4,
4,
3,
4,
3,
1,
3,
4,
4,
5,
3,
4,
3,
3,
2,
3,
2,
6,
3,
3,
3,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
4,
3,
3,
3,
4,
4,
4,
4,
3,
2,
2,
2,
4,
2,
3,
2,
2,
2,
3,
4,
2,
2,
2,
3,
3,
2,
2,
4,
4,
3,
4,
2,
2,
2,
5,
2,
2,
3,
2,
2,
2,
4,
2,
3,
3,
2,
2,
2,
4,
4,
2,
2,
1,
3,
3,
4,
3,
3,
2,
4,
3,
4,
3,
2,
2,
4,
3,
2,
2,
3,
2,
3,
3,
4,
2,
3,
2,
2,
3,
4,
3,
3,
3,
4,
4,
3,
4,
2,
2,
2,
4,
5,
4,
4,
2,
2,
4,
4,
2,
4,
4,
2,
3,
2,
2,
2,
7,
2,
3,
3,
2,
4,
5,
2,
2,
4,
2,
4,
2,
5,
3,
7,
2,
2,
3,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
8,
8,
4,
2,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
5,
3,
3,
4,
4,
2,
2,
4,
4,
4,
2,
4,
5,
2,
3,
2,
5,
4,
4,
4,
2,
2,
4,
5,
3,
4,
3,
4,
3,
2,
3,
3,
2,
7,
3,
3,
1,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
3,
3,
2,
2,
2,
3,
4,
5,
4,
4,
4,
3,
2,
2,
5,
3,
4,
6,
5,
2,
2,
4,
5,
2,
2,
3,
3,
4,
2,
2,
3,
3,
3,
2,
4,
4,
4,
2,
3,
2,
4,
2,
4,
2,
4,
4,
4,
3,
3,
2,
3,
4,
4,
2,
2,
2,
3,
3,
1,
1,
2,
2,
4,
4,
2,
5,
4,
2,
3,
2,
3,
3,
7,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
3,
4,
4,
4,
4,
3,
3,
4,
3,
3,
3,
3,
6,
3,
2,
1,
3,
4,
3,
3,
3,
4,
4,
4,
4,
3,
4,
4,
2,
2,
2,
4,
3,
4,
2,
2,
4,
4,
6,
1,
2,
2,
3,
4,
4,
3,
3,
7,
2,
2,
3,
6,
7,
3,
7,
4,
4,
4,
4,
5,
5,
2,
2,
4,
4,
3,
2,
4,
5,
2,
4,
2,
4,
4,
3,
3,
2,
2,
3,
3,
3,
2,
1,
2,
2,
2,
3,
4,
3,
3,
2,
2,
2,
3,
4,
4,
4,
5,
4,
4,
3,
4,
4,
3,
2,
4,
3,
5,
3,
4,
4,
3,
2,
3,
4,
4,
4,
4,
3,
2,
3,
3,
5,
4,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
2,
3,
3,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
2,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
5,
2,
3,
5,
4,
3,
2,
2,
4,
5,
5,
7,
3,
3,
3,
1,
1,
3,
4,
2,
4,
2,
4,
4,
4,
4,
4,
2,
5,
2,
3,
4,
4,
2,
2,
3,
2,
4,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
3,
2,
4,
3,
3,
3,
4,
4,
3,
2,
4,
2,
2,
2,
1,
4,
2,
2,
4,
2,
2,
4,
4,
2,
2,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
4,
4,
7,
3,
2,
2,
3,
5,
5,
3,
2,
3,
4,
4,
2,
3,
3,
5,
4,
2,
3,
3,
4,
4,
3,
2,
3,
2,
2,
2,
4,
3,
3,
3,
3,
3,
7,
5,
2,
3,
3,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
3,
5,
2,
3,
2,
6,
3,
2,
2,
3,
3,
2,
3,
3,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
3,
4,
4,
2,
3,
4,
3,
4,
6,
2,
3,
1,
3,
2,
1,
2,
3,
2,
4,
5,
2,
4,
3,
3,
3,
3,
6,
3,
4,
4,
2,
2,
2,
3,
4,
2,
3,
3,
4,
3,
3,
3,
3,
3,
4,
4,
2,
3,
2,
2,
3,
3,
2,
4,
2,
3,
3,
3,
3,
2,
2,
3,
3,
5,
3,
4,
4,
3,
2,
3,
3,
5,
4,
3,
4,
1,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
2,
4,
5,
3,
3,
2,
3,
5,
5,
2,
3,
2,
3,
4,
4,
4,
2,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
5,
5,
3,
3,
6,
3,
3,
2,
4,
4,
4,
4,
4,
3,
4,
2,
4,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
9,
2,
4,
5,
4,
6,
2,
2,
5,
3,
2,
3,
7,
4,
3,
3,
3,
5,
2,
2,
3,
3,
2,
3,
6,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
5,
4,
4,
4,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
3,
4,
3,
4,
4,
3,
4,
4,
2,
3,
3,
3,
3,
5,
2,
2,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
2,
2,
5,
2,
4,
4,
2,
3,
3,
2,
2,
3,
3,
2,
3,
3,
3,
2,
3,
4,
3,
3,
4,
3,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
5,
2,
4,
3,
3,
5,
5,
2,
1,
4,
2,
5,
4,
4,
3,
4,
4,
2,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
3,
4,
3,
4,
4,
4,
2,
2,
2,
3,
2,
4,
4,
2,
3,
2,
3,
3,
1,
4,
4,
4,
4,
5,
2,
2,
2,
3,
3,
3,
2,
2,
3,
2,
3,
2,
2,
2,
4,
5,
5,
4,
2,
5,
5,
4,
2,
2,
2,
2,
3,
5,
5,
6,
2,
2,
3,
3,
3,
3,
2,
3,
5,
2,
2,
2,
4,
2,
4,
3,
2,
3,
3,
3,
3,
2,
4,
2,
4,
4,
3,
4,
4,
2,
3,
2,
2,
2,
4,
2,
3,
6,
2,
4,
3,
4,
3,
7,
2,
3,
3,
4,
2,
3,
3,
3,
4,
4,
3,
3,
2,
2,
5,
4,
2,
3,
4,
2,
1,
2,
6,
2,
2,
3,
2,
3,
5,
4,
6,
3,
2,
1,
4,
1,
2,
2,
2,
4,
3,
3,
2,
2,
2,
2,
2,
4,
2,
5,
8,
4,
4,
2,
3,
3,
4,
3,
5,
3,
3,
3,
3,
2,
5,
7,
5,
4,
4,
5,
3,
4,
3,
2,
3,
4,
3,
3,
3,
3,
2,
3,
5,
5,
3,
3,
2,
4,
3,
2,
4,
3,
6,
3,
4,
3,
4,
2,
4,
4,
5,
4,
2,
2,
7,
3,
2,
3,
4,
3,
3,
3,
3,
4,
4,
3,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
4,
4,
3,
5,
3,
2,
3,
7,
8,
3,
3,
2,
3,
4,
3,
4,
4,
5,
2,
4,
8,
2,
3,
4,
4,
5,
5,
2,
4,
4,
4,
4,
4,
4,
1,
2,
2,
3,
4,
3,
3,
4,
3,
2,
3,
3,
3,
4,
3,
4,
2,
5,
4,
4,
5,
3,
3,
4,
7,
3,
2,
2,
2,
4,
2,
2,
3,
2,
2,
2,
5,
4,
2,
2,
4,
4,
2,
5,
3,
3,
3,
3,
5,
2,
4,
4,
4,
4,
5,
5,
3,
2,
2,
2,
2,
1,
2,
3,
2,
2,
4,
3,
4,
4,
4,
5,
4,
6,
4,
4,
4,
4,
5,
4,
4,
4,
6,
4,
6,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
6,
5,
3,
2,
2,
2,
2,
3,
2,
3,
3,
2,
2,
3,
1,
3,
4,
3,
1,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
1,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
2,
3,
1,
3,
3,
1,
2,
2,
2,
3,
2,
6,
3,
2,
2,
2,
2,
3,
6,
2,
5,
2,
3,
2,
3,
3,
2,
2,
6,
3,
4,
3,
3,
2,
5,
2,
3,
3,
3,
3,
4,
3,
4,
3,
7,
7,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
6,
3,
2,
3,
3,
2,
4,
2,
4,
2,
5,
3,
4,
3,
7,
4,
4,
3,
4,
3,
3,
3,
3,
4,
2,
4,
2,
2,
4,
2,
2,
5,
3,
5,
4,
2,
2,
3,
3,
4,
3,
7,
2,
3,
4,
4,
3,
2,
2,
2,
3,
3,
2,
2,
6,
4,
4,
2,
2,
2,
2,
3,
4,
3,
4,
3,
2,
4,
4,
4,
5,
4,
3,
2,
4,
3,
5,
3,
3,
2,
6,
3,
3,
3,
2,
1,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
3,
3,
2,
2,
2,
4,
5,
3,
4,
4,
2,
2,
2,
3,
3,
3,
2,
2,
3,
4,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
1,
3,
2,
2,
4,
2,
3,
3,
3,
2,
3,
6,
9,
2,
4,
2,
2,
3,
3,
3,
2,
3,
2,
3,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
1,
2,
2,
1,
3,
3,
2,
4,
3,
5,
3,
3,
2,
3,
6,
1,
2,
3,
2,
3,
4,
3,
4,
4,
4,
4,
3,
4,
2,
2,
3,
5,
3,
3,
3,
4,
3,
2,
2,
2,
3,
2,
2,
5,
4,
4,
5,
5,
5,
2,
2,
2,
2,
5,
8,
3,
3,
3,
3,
3,
3,
2,
3,
4,
3,
2,
4,
2,
2,
3,
4,
4,
3,
2,
3,
4,
2,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
3,
1,
5,
2,
2,
3,
2,
3,
3,
3,
2,
4,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
5,
3,
2,
5,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
3,
4,
3,
1,
1,
2,
2,
3,
3,
2,
4,
3,
3,
2,
3,
3,
4,
2,
4,
4,
6,
4,
4,
3,
2,
2,
7,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
5,
3,
3,
3,
2,
3,
3,
2,
4,
5,
3,
3,
4,
4,
3,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
4,
2,
2,
4,
3,
2,
4,
2,
2,
2,
2,
2,
3,
2,
1,
3,
2,
2,
2,
2,
4,
4,
3,
4,
3,
2,
3,
4,
2,
4,
4,
3,
3,
3,
5,
3,
2,
3,
5,
4,
2,
2,
2,
3,
2,
2,
2,
2,
3,
5,
5,
4,
4,
2,
3,
6,
3,
4,
3,
5,
2,
4,
2,
2,
2,
1,
2,
2,
2,
7,
3,
4,
5,
3,
4,
2,
2,
3,
5,
3,
4,
3,
2,
4,
2,
2,
4,
4,
4,
5,
3,
4,
2,
4,
4,
4,
4,
2,
4,
4,
5,
4,
5,
4,
4,
3,
2,
2,
3,
3,
3,
3,
7,
7,
3,
3,
4,
3,
6,
3,
3,
4,
3,
1,
4,
2,
3,
5,
3,
2,
2,
2,
2,
5,
3,
2,
3,
5,
2,
4,
4,
3,
2,
4,
4,
2,
2,
2,
4,
3,
1,
1,
2,
3,
2,
5,
2,
4,
3,
4,
5,
4,
2,
3,
2,
5,
2,
4,
2,
4,
4,
2,
3,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
4,
3,
2,
2,
3,
2,
4,
2,
2,
2,
2,
3,
4,
2,
4,
7,
4,
4,
2,
6,
4,
4,
2,
4,
4,
2,
2,
3,
3,
5,
4,
2,
2,
4,
2,
2,
2,
3,
2,
5,
5,
8,
4,
5,
2,
2,
2,
2,
4,
2,
1,
2,
2,
2,
3,
2,
3,
3,
4,
2,
4,
4,
5,
3,
3,
3,
2,
3,
2,
4,
2,
2,
4,
2,
6,
3,
1,
2,
4,
4,
3,
4,
4,
4,
3,
3,
5,
3,
3,
4,
2,
2,
2,
4,
4,
3,
4,
4,
3,
4,
4,
3,
3,
2,
4,
2,
4,
2,
5,
5,
3,
4,
3,
2,
2,
4,
3,
4,
4,
2,
4,
5,
2,
3,
3,
4,
2,
3,
2,
4,
3,
2,
4,
3,
3,
4,
3,
5,
2,
2,
4,
4,
1,
2,
4,
4,
6,
3,
4,
2,
5,
2,
2,
4,
2,
5,
5,
2,
3,
4,
2,
2,
2,
4,
2,
4,
3,
3,
3,
4,
4,
2,
3,
5,
3,
3,
3,
2,
2,
2,
3,
2,
3,
3,
2,
5,
2,
3,
2,
3,
5,
2,
2,
5,
2,
5,
3,
2,
2,
3,
3,
3,
4,
4,
2,
3,
3,
3,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
3,
4,
6,
2,
3,
4,
5,
2,
2,
4,
3,
2,
3,
2,
2,
2,
2,
2,
4,
3,
2,
3,
2,
4,
3,
3,
4,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
3,
5,
5,
4,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
4,
2,
3,
2,
4,
4,
2,
4,
2,
2,
4,
4,
2,
4,
3,
5,
5,
5,
5,
5,
4,
3,
5,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
1,
3,
3,
3,
3,
4,
2,
3,
2,
3,
3,
2,
4,
4,
2,
2,
1,
2,
2,
2,
3,
2,
2,
4,
3,
4,
3,
2,
4,
2,
3,
3,
3,
5,
7,
4,
2,
2,
3,
5,
2,
5,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
4,
2,
3,
4,
4,
3,
5,
5,
3,
2,
6,
4,
4,
4,
3,
2,
4,
1,
4,
4,
4,
11,
4,
4,
7,
2,
3,
4,
4,
4,
3,
3,
3,
4,
2,
2,
4,
4,
4,
4,
4,
2,
3,
3,
2,
2,
2,
3,
4,
2,
2,
2,
2,
3,
4,
3,
3,
2,
3,
4,
3,
2,
2,
4,
3,
3,
3,
2,
5,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
5,
4,
5,
6,
2,
1,
2,
3,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
2,
4,
3,
3,
3,
4,
3,
2,
3,
6,
2,
4,
1,
5,
4,
4,
4,
3,
3,
2,
2,
3,
4,
3,
5,
5,
4,
4,
4,
5,
6,
5,
2,
2,
2,
3,
3,
4,
3,
1,
4,
3,
5,
2,
2,
4,
2,
1,
3,
4,
2,
3,
3,
4,
3,
3,
2,
4,
4,
4,
3,
3,
4,
4,
2,
3,
4,
3,
3,
2,
3,
5,
5,
3,
2,
2,
4,
4,
4,
4,
4,
1,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
3,
3,
5,
2,
5,
4,
3,
3,
3,
3,
4,
4,
4,
4,
3,
3,
2,
3,
3,
3,
5,
5,
2,
3,
3,
5,
4,
4,
4,
4,
3,
3,
2,
2,
3,
2,
3,
6,
3,
2,
3,
4,
3,
3,
4,
5,
3,
5,
3,
4,
4,
3,
4,
2,
4,
2,
5,
7,
5,
5,
2,
4,
3,
2,
3,
4,
2,
2,
2,
5,
3,
3,
2,
2,
4,
4,
4,
3,
4,
3,
4,
2,
4,
2,
4,
2,
2,
2,
1,
2,
4,
3,
3,
7,
3,
2,
1,
2,
2,
3,
3,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
2,
2,
2,
3,
2,
1,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
5,
2,
4,
2,
2,
2,
3,
3,
1,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
1,
4,
3,
2,
3,
2,
4,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
3,
3,
2,
2,
4,
1,
2,
2,
3,
3,
2,
3,
3,
4,
4,
4,
4,
3,
4,
2,
2,
3,
2,
4,
3,
2,
2,
4,
4,
4,
4,
4,
3,
6,
5,
3,
5,
4,
3,
2,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
1,
3,
3,
3,
3,
3,
4,
2,
3,
4,
3,
4,
2,
4,
2,
3,
4,
3,
4,
2,
3,
2,
1,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
3,
3,
4,
2,
3,
2,
2,
4,
4,
4,
2,
3,
4,
2,
4,
3,
4,
3,
4,
4,
1,
2,
2,
4,
2,
4,
4,
4,
2,
1,
3,
4,
4,
2,
2,
2,
2,
3,
3,
3,
4,
1,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
4,
3,
5,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
5,
3,
3,
3,
4,
3,
6,
7,
2,
2,
3,
4,
4,
4,
4,
4,
4,
2,
3,
2,
4,
1,
4,
2,
4,
2,
4,
4,
3,
2,
3,
3,
2,
2,
2,
3,
3,
5,
2,
5,
5,
3,
4,
3,
1,
2,
4,
3,
5,
3,
3,
2,
4,
4,
3,
7,
4,
3,
4,
2,
6,
3,
4,
2,
4,
2,
3,
2,
2,
2,
3,
4,
3,
3,
3,
3,
4,
3,
4,
4,
3,
4,
4,
3,
3,
3,
3,
3,
4,
4,
3,
4,
3,
2,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
6,
2,
2,
3,
3,
4,
4,
4,
4,
4,
2,
1,
5,
3,
3,
2,
3,
3,
3,
3,
4,
3,
2,
3,
4,
4,
4,
4,
6,
3,
5,
4,
8,
3,
2,
3,
5,
3,
3,
4,
4,
4,
2,
2,
2,
2,
4,
3,
4,
2,
4,
4,
5,
4,
4,
4,
6,
3,
2,
2,
2,
4,
1,
2,
2,
1,
2,
2,
2,
8,
4,
6,
3,
4,
2,
3,
2,
6,
2,
3,
3,
3,
2,
4,
4,
3,
8,
5,
7,
3,
3,
4,
2,
3,
4,
4,
4,
3,
3,
5,
2,
4,
2,
2,
2,
2,
4,
3,
3,
4,
1,
2,
2,
3,
5,
3,
3,
4,
4,
6,
2,
3,
4,
2,
2,
2,
2,
4,
2,
2,
3,
2,
4,
3,
2,
4,
4,
2,
4,
2,
4,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
6,
5,
4,
4,
2,
3,
3,
4,
4,
2,
4,
5,
4,
4,
4,
3,
3,
3,
5,
3,
3,
3,
3,
6,
4,
4,
4,
3,
2,
2,
4,
2,
4,
4,
4,
3,
4,
3,
5,
3,
3,
3,
3,
3,
3,
4,
4,
2,
1,
6,
3,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
4,
3,
3,
2,
2,
5,
2,
2,
3,
2,
2,
2,
4,
2,
3,
2,
2,
2,
4,
3,
3,
4,
3,
3,
2,
4,
3,
2,
2,
2,
2,
2,
3,
4,
2,
3,
3,
4,
2,
4,
2,
2,
3,
4,
2,
1,
2,
2,
2,
3,
4,
4,
4,
2,
3,
2,
2,
4,
2,
2,
2,
4,
3,
3,
3,
4,
4,
2,
7,
4,
4,
4,
4,
4,
8,
8,
3,
5,
3,
3,
3,
5,
3,
2,
2,
1,
3,
3,
3,
3,
5,
3,
3,
4,
4,
3,
5,
3,
2,
2,
2,
2,
3,
2,
3,
3,
4,
3,
2,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
7,
4,
3,
3,
5,
4,
3,
2,
3,
3,
3,
3,
3,
7,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
2,
4,
4,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
5,
5,
4,
4,
4,
3,
3,
3,
4,
2,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
3,
2,
3,
3,
3,
4,
3,
3,
4,
4,
3,
4,
2,
5,
3,
3,
5,
9,
6,
4,
4,
5,
3,
3,
2,
3,
2,
3,
3,
7,
4,
3,
4,
4,
4,
1,
3,
4,
2,
4,
2,
5,
5,
3,
2,
2,
4,
2,
4,
2,
4,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
5,
6,
4,
5,
6,
3,
3,
5,
3,
2,
3,
3,
5,
3,
3,
5,
3,
5,
6,
4,
2,
4,
2,
3,
2,
3,
3,
2,
2,
2,
2,
4,
4,
6,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
2,
2,
5,
2,
2,
2,
5,
3,
3,
3,
2,
2,
3,
3,
4,
4,
4,
3,
4,
3,
2,
3,
3,
2,
2,
1,
2,
2,
5,
4,
3,
4,
6,
4,
4,
4,
4,
2,
2,
2,
4,
3,
4,
3,
2,
4,
4,
6,
4,
5,
3,
4,
2,
4,
2,
2,
3,
2,
2,
4,
4,
4,
4,
3,
3,
4,
6,
3,
5,
4,
4,
3,
3,
3,
4,
3,
3,
3,
3,
2,
3,
2,
4,
3,
11,
2,
4,
4,
4,
3,
4,
2,
2,
3,
3,
3,
3,
2,
4,
4,
4,
4,
5,
7,
2,
4,
4,
4,
7,
6,
6,
6,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
3,
4,
4,
3,
3,
4,
2,
3,
3,
3,
7,
4,
4,
4,
2,
1,
3,
4,
2,
2,
4,
3,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
4,
2,
4,
4,
3,
3,
3,
4,
3,
4,
3,
3,
4,
3,
4,
4,
2,
3,
1,
3,
4,
3,
2,
3,
3,
3,
2,
4,
4,
4,
6,
2,
5,
5,
5,
3,
3,
2,
2,
3,
3,
2,
3,
2,
3,
4,
4,
2,
4,
6,
3,
2,
4,
3,
4,
4,
3,
2,
2,
3,
2,
2,
4,
2,
3,
4,
4,
4,
5,
5,
1,
3,
3,
4,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
4,
2,
2,
4,
4,
4,
2,
2,
2,
4,
2,
4,
2,
4,
6,
4,
3,
4,
2,
3,
3,
3,
5,
3,
3,
5,
5,
3,
3,
2,
2,
3,
5,
4,
3,
5,
3,
4,
2,
2,
2,
1,
2,
3,
3,
3,
4,
2,
4,
6,
3,
4,
4,
4,
4,
4,
4,
2,
3,
3,
4,
3,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
6,
3,
3,
3,
4,
3,
3,
2,
3,
11,
2,
4,
3,
4,
4,
4,
5,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
6,
4,
2,
3,
4,
3,
4,
4,
4,
4,
2,
2,
3,
2,
6,
4,
4,
4,
2,
4,
4,
2,
3,
10,
5,
5,
2,
3,
4,
4,
4,
2,
4,
2,
2,
2,
4,
4,
3,
3,
2,
4,
4,
4,
4,
3,
6,
4,
3,
5,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
3,
5,
3,
6,
6,
2,
4,
2,
2,
2,
5,
4,
4,
3,
4,
6,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
3,
3,
3,
3,
3,
4,
3,
2,
3,
2,
4,
3,
4,
3,
4,
4,
2,
3,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
3,
4,
3,
4,
2,
5,
3,
3,
4,
4,
2,
2,
3,
4,
3,
3,
2,
2,
2,
2,
3,
2,
4,
4,
2,
5,
2,
3,
3,
4,
2,
4,
4,
2,
2,
5,
3,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
4,
4,
3,
2,
4,
3,
2,
3,
4,
3,
2,
4,
4,
3,
4,
4,
4,
4,
3,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
3,
3,
3,
4,
4,
4,
4,
4,
3,
2,
6,
4,
4,
4,
2,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
6,
2,
5,
2,
3,
2,
3,
2,
3,
4,
3,
4,
3,
3,
3,
2,
2,
2,
2,
3,
2,
4,
5,
3,
2,
1,
3,
3,
2,
1,
2,
2,
2,
3,
4,
4,
3,
3,
3,
4,
5,
3,
2,
4,
6,
6,
3,
5,
2,
3,
3,
3,
2,
3,
4,
4,
2,
2,
5,
2,
2,
2,
3,
4,
2,
3,
2,
3,
3,
2,
1,
2,
2,
4,
4,
2,
2,
2,
6,
4,
3,
2,
7,
4,
2,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
6,
2,
2,
2,
4,
3,
3,
6,
4,
3,
4,
3,
3,
2,
3,
4,
3,
4,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
5,
3,
3,
4,
2,
5,
3,
3,
2,
5,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
6,
4,
5,
4,
2,
4,
3,
3,
2,
2,
4,
4,
4,
2,
4,
4,
4,
3,
6,
3,
3,
7,
5,
4,
1,
2,
4,
2,
2,
5,
3,
5,
5,
1,
2,
3,
1,
2,
2,
2,
4,
1,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
1,
4,
4,
3,
4,
4,
4,
1,
5,
4,
3,
3,
1,
3,
5,
2,
6,
4,
2,
4,
4,
4,
4,
4,
5,
2,
1,
2,
4,
3,
3,
3,
4,
4,
4,
4,
2,
4,
4,
4,
3,
2,
3,
2,
3,
3,
4,
4,
3,
3,
4,
2,
2,
2,
3,
3,
3,
3,
2,
2,
3,
2,
3,
3,
2,
3,
2,
3,
2,
2,
4,
3,
3,
6,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
4,
4,
3,
5,
4,
3,
3,
3,
2,
2,
2,
4,
3,
2,
4,
5,
5,
6,
2,
2,
4,
4,
4,
3,
3,
3,
4,
3,
4,
4,
4,
3,
3,
3,
2,
2,
4,
2,
3,
2,
3,
3,
4,
2,
5,
3,
4,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
5,
4,
3,
3,
6,
3,
3,
3,
3,
2,
3,
2,
3,
4,
4,
2,
3,
3,
3,
3,
2,
7,
5,
4,
4,
3,
2,
6,
2,
3,
3,
2,
5,
2,
2,
2,
3,
3,
5,
2,
4,
3,
3,
2,
2,
4,
4,
3,
4,
4,
4,
3,
3,
2,
2,
4,
4,
2,
4,
4,
3,
3,
3,
3,
3,
4,
4,
2,
2,
5,
3,
3,
4,
2,
4,
4,
3,
2,
4,
5,
3,
2,
3,
3,
3,
3,
2,
3,
4,
4,
3,
2,
2,
4,
2,
2,
2,
2,
2,
4,
3,
3,
2,
5,
5,
2,
2,
2,
2,
2,
2,
4,
1,
4,
4,
2,
3,
3,
2,
4,
5,
2,
2,
4,
4,
4,
6,
4,
2,
3,
2,
4,
2,
4,
2,
4,
3,
3,
3,
4,
5,
6,
5,
6,
3,
3,
3,
3,
1,
2,
2,
3,
4,
2,
4,
4,
3,
3,
3,
3,
3,
2,
4,
4,
7,
4,
3,
7,
4,
5,
3,
2,
2,
2,
2,
2,
4,
2,
3,
4,
3,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
3,
2,
2,
4,
4,
4,
2,
7,
3,
2,
6,
2,
2,
1,
3,
3,
3,
3,
2,
3,
3,
3,
3,
4,
2,
4,
9,
3,
3,
3,
3,
3,
4,
3,
1,
2,
2,
3,
4,
4,
2,
2,
3,
5,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
4,
3,
5,
9,
5,
4,
4,
4,
4,
2,
3,
2,
3,
3,
3,
3,
3,
2,
5,
3,
3,
2,
5,
3,
6,
5,
2,
4,
4,
2,
5,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
4,
2,
3,
3,
2,
3,
3,
4,
6,
5,
4,
4,
4,
2,
2,
4,
4,
4,
3,
3,
4,
2,
4,
2,
4,
4,
4,
4,
2,
2,
2,
2,
4,
3,
3,
2,
3,
7,
5,
3,
4,
5,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
5,
4,
6,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
4,
4,
2,
3,
2,
2,
2,
4,
3,
2,
4,
2,
4,
3,
2,
7,
6,
7,
4,
4,
2,
2,
4,
2,
3,
3,
1,
2,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
5,
3,
3,
2,
2,
2,
2,
4,
4,
6,
4,
3,
3,
2,
4,
3,
2,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
6,
2,
3,
2,
2,
2,
2,
1,
5,
3,
3,
3,
4,
4,
2,
2,
2,
3,
3,
3,
2,
4,
2,
4,
3,
2,
2,
4,
4,
1,
2,
3,
5,
5,
2,
2,
3,
2,
2,
2,
2,
4,
4,
5,
3,
4,
4,
4,
6,
4,
7,
2,
2,
4,
5,
3,
5,
6,
2,
3,
4,
2,
3,
5,
2,
2,
2,
3,
3,
4,
3,
3,
1,
3,
2,
2,
4,
4,
4,
4,
3,
3,
3,
1,
2,
3,
3,
2,
3,
3,
1,
2,
2,
1,
2,
2,
3,
2,
3,
3,
2,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
4,
2,
2,
4,
4,
4,
7,
6,
4,
3,
3,
3,
4,
2,
2,
5,
2,
2,
2,
3,
3,
3,
3,
2,
3,
5,
3,
2,
3,
4,
4,
2,
4,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
4,
4,
4,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
7,
3,
4,
4,
4,
4,
4,
5,
2,
3,
3,
4,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
1,
3,
3,
4,
3,
2,
2,
2,
4,
2,
2,
2,
4,
4,
3,
2,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
6,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
4,
4,
5,
4,
4,
4,
2,
3,
3,
3,
4,
3,
3,
2,
3,
4,
2,
2,
2,
2,
3,
7,
7,
5,
5,
5,
6,
6,
5,
5,
5,
5,
3,
2,
6,
4,
4,
2,
2,
3,
2,
2,
9,
3,
4,
6,
3,
2,
2,
5,
2,
2,
4,
2,
2,
2,
4,
2,
3,
2,
2,
3,
4,
4,
4,
4,
3,
5,
2,
2,
2,
2,
5,
3,
3,
4,
4,
5,
5,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
5,
2,
4,
4,
4,
3,
3,
3,
3,
2,
2,
4,
2,
5,
5,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
3,
4,
5,
4,
5,
3,
6,
4,
2,
3,
5,
3,
4,
5,
4,
3,
2,
4,
2,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
4,
2,
2,
4,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
3,
3,
2,
4,
4,
2,
4,
4,
3,
4,
2,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
4,
4,
5,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
7,
2,
4,
1,
4,
5,
4,
3,
3,
3,
2,
2,
1,
4,
3,
4,
3,
3,
3,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
2,
2,
3,
3,
7,
3,
3,
4,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
3,
2,
4,
3,
2,
5,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
4,
3,
4,
3,
4,
4,
3,
3,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
7,
4,
4,
2,
4,
4,
4,
3,
3,
3,
6,
3,
7,
2,
4,
3,
2,
4,
4,
4,
4,
2,
4,
3,
4,
4,
2,
2,
4,
4,
4,
2,
5,
4,
2,
4,
4,
2,
1,
1,
3,
4,
2,
2,
4,
3,
4,
4,
4,
3,
2,
4,
3,
3,
3,
4,
2,
2,
2,
2,
3,
2,
6,
2,
3,
4,
1,
3,
3,
7,
4,
6,
3,
3,
3,
4,
6,
4,
2,
4,
4,
4,
2,
2,
4,
3,
5,
3,
4,
4,
4,
5,
4,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
5,
3,
3,
2,
2,
2,
3,
6,
3,
4,
2,
2,
3,
4,
2,
2,
2,
2,
4,
2,
2,
4,
4,
4,
2,
4,
4,
3,
3,
2,
3,
2,
3,
4,
3,
4,
4,
6,
2,
4,
3,
4,
5,
4,
3,
3,
3,
4,
6,
5,
4,
2,
4,
3,
3,
2,
3,
6,
3,
3,
6,
4,
2,
2,
4,
5,
4,
5,
2,
6,
5,
5,
3,
2,
2,
3,
1,
4,
1,
4,
3,
4,
2,
3,
2,
5,
4,
3,
3,
4,
2,
3,
3,
4,
2,
4,
4,
4,
2,
3,
3,
1,
1,
3,
3,
3,
2,
3,
2,
5,
2,
3,
6,
3,
4,
4,
5,
3,
4,
5,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
4,
3,
2,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
6,
4,
4,
4,
2,
3,
3,
3,
3,
3,
4,
4,
2,
4,
2,
2,
3,
3,
2,
3,
2,
3,
3,
21,
21,
3,
5,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
5,
3,
3,
7,
3,
3,
2,
4,
5,
2,
4,
4,
3,
2,
2,
3,
2,
3,
2,
2,
3,
2,
2,
2,
3,
2,
3,
2,
3,
2,
2,
5,
5,
2,
5,
3,
2,
4,
3,
3,
2,
4,
3,
7,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
4,
3,
4,
6,
4,
4,
6,
8,
4,
4,
6,
2,
3,
3,
4,
2,
4,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
4,
2,
3,
3,
4,
5,
5,
4,
6,
4,
3,
4,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
4,
3,
4,
2,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
5,
3,
3,
4,
2,
4,
4,
4,
8,
3,
4,
2,
2,
5,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
3,
3,
3,
3,
3,
4,
4,
3,
3,
2,
2,
7,
7,
2,
2,
2,
3,
3,
4,
4,
7,
2,
3,
4,
3,
3,
3,
3,
4,
2,
2,
2,
6,
2,
2,
4,
4,
2,
2,
3,
3,
4,
3,
3,
4,
3,
2,
1,
4,
4,
4,
4,
4,
4,
2,
2,
4,
2,
2,
4,
2,
1,
2,
2,
2,
4,
2,
2,
3,
2,
2,
2,
3,
5,
3,
5,
2,
3,
2,
2,
2,
2,
5,
2,
4,
3,
2,
2,
3,
4,
4,
3,
3,
3,
3,
2,
4,
4,
6,
4,
4,
3,
3,
1,
2,
4,
2,
5,
4,
4,
4,
3,
3,
2,
4,
2,
5,
5,
2,
5,
4,
3,
4,
5,
5,
4,
4,
3,
7,
4,
4,
2,
2,
3,
2,
3,
1,
4,
6,
5,
5,
3,
4,
6,
4,
3,
6,
3,
3,
4,
4,
2,
4,
4,
5,
2,
4,
4,
1,
3,
4,
2,
4,
3,
4,
4,
4,
4,
4,
2,
3,
3,
4,
4,
4,
3,
2,
4,
3,
4,
3,
3,
3,
2,
3,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
5,
5,
4,
3,
4,
4,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
4,
6,
4,
5,
2,
4,
5,
2,
3,
4,
4,
4,
3,
4,
2,
4,
2,
2,
3,
3,
2,
3,
3,
2,
4,
6,
2,
3,
2,
2,
3,
4,
3,
4,
2,
4,
4,
4,
3,
4,
4,
2,
4,
4,
2,
5,
7,
5,
4,
5,
2,
4,
5,
6,
5,
2,
6,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
3,
4,
3,
2,
3,
2,
3,
3,
3,
2,
1,
2,
2,
3,
3,
2,
2,
2,
3,
4,
4,
3,
4,
4,
4,
2,
2,
2,
3,
3,
2,
2,
4,
2,
2,
3,
3,
3,
3,
2,
2,
3,
2,
5,
2,
5,
4,
2,
2,
3,
3,
2,
2,
3,
3,
3,
2,
2,
6,
2,
3,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
4,
4,
3,
2,
2,
2,
2,
5,
4,
2,
5,
3,
4,
4,
4,
2,
2,
2,
4,
2,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
5,
4,
4,
5,
2,
2,
4,
2,
2,
2,
3,
2,
2,
2,
5,
2,
4,
4,
4,
2,
3,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
2,
3,
2,
3,
3,
3,
6,
5,
3,
3,
4,
2,
2,
2,
3,
3,
6,
4,
3,
2,
2,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
4,
4,
4,
4,
4,
3,
4,
2,
3,
4,
2,
4,
2,
6,
3,
3,
3,
3,
3,
4,
2,
5,
4,
3,
4,
4,
3,
5,
2,
1,
4,
3,
4,
4,
4,
4,
3,
2,
6,
2,
5,
2,
5,
2,
4,
3,
3,
5,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
3,
3,
2,
3,
3,
6,
2,
2,
2,
2,
5,
2,
5,
4,
3,
2,
4,
4,
4,
3,
3,
3,
3,
4,
2,
6,
3,
2,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
6,
4,
5,
5,
5,
2,
3,
3,
3,
3,
4,
2,
3,
2,
4,
2,
2,
4,
4,
2,
3,
3,
3,
3,
4,
3,
6,
2,
3,
3,
6,
3,
2,
4,
4,
4,
2,
2,
2,
5,
5,
5,
3,
4,
5,
3,
4,
4,
3,
4,
3,
3,
4,
4,
5,
2,
2,
6,
3,
2,
3,
3,
4,
4,
3,
2,
4,
4,
4,
4,
2,
3,
3,
4,
3,
3,
3,
2,
2,
3,
4,
2,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
1,
6,
3,
2,
4,
2,
2,
2,
4,
3,
2,
3,
3,
5,
2,
3,
3,
3,
3,
4,
5,
3,
2,
2,
2,
2,
2,
4,
3,
2,
2,
4,
4,
3,
3,
4,
4,
2,
4,
2,
3,
2,
3,
1,
3,
1,
4,
3,
3,
4,
2,
2,
2,
3,
3,
3,
4,
2,
2,
2,
3,
3,
3,
2,
1,
2,
2,
1,
3,
2,
4,
1,
1,
2,
3,
3,
3,
7,
2,
3,
3,
3,
3,
4,
2,
3,
3,
2,
4,
4,
2,
2,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
2,
5,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
6,
4,
3,
3,
3,
2,
2,
2,
4,
4,
3,
2,
2,
2,
4,
5,
6,
2,
4,
2,
2,
4,
3,
2,
2,
4,
3,
3,
3,
4,
4,
5,
4,
3,
2,
2,
2,
3,
5,
2,
3,
2,
3,
3,
2,
2,
4,
2,
3,
4,
4,
4,
5,
3,
2,
2,
2,
3,
3,
2,
4,
2,
4,
2,
2,
3,
2,
4,
2,
2,
2,
5,
4,
2,
3,
3,
3,
4,
2,
1,
1,
5,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
3,
2,
2,
3,
3,
4,
6,
5,
5,
4,
3,
4,
3,
4,
2,
2,
2,
3,
3,
2,
2,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
4,
2,
2,
2,
4,
7,
3,
3,
4,
4,
2,
4,
3,
3,
4,
4,
3,
2,
3,
3,
2,
3,
2,
2,
2,
2,
2,
6,
7,
4,
4,
4,
2,
6,
5,
3,
3,
3,
3,
3,
2,
3,
3,
1,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
5,
5,
2,
4,
5,
5,
2,
3,
2,
5,
4,
2,
2,
3,
8,
4,
3,
3,
2,
4,
3,
3,
5,
5,
4,
4,
5,
4,
2,
2,
2,
3,
2,
2,
2,
1,
4,
4,
2,
4,
2,
2,
3,
2,
4,
1,
2,
3,
2,
6,
3,
5,
5,
4,
3,
3,
3,
3,
6,
7,
3,
3,
3,
3,
3,
5,
3,
5,
5,
5,
2,
3,
5,
4,
6,
4,
4,
3,
5,
5,
7,
6,
3,
3,
3,
2,
3,
4,
2,
3,
3,
4,
2,
2,
2,
2,
3,
2,
2,
3,
2,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
2,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
5,
3,
3,
3,
5,
4,
2,
4,
4,
2,
4,
3,
3,
4,
3,
2,
6,
3,
2,
2,
4,
4,
2,
5,
3,
2,
2,
2,
2,
3,
7,
3,
3,
3,
4,
4,
3,
4,
2,
2,
3,
4,
3,
3,
2,
4,
3,
2,
2,
4,
4,
4,
4,
4,
2,
4,
3,
2,
3,
4,
5,
3,
3,
3,
3,
2,
4,
2,
3,
2,
4,
3,
2,
4,
3,
3,
2,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
5,
3,
4,
3,
3,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
2,
4,
3,
2,
2,
4,
4,
4,
2,
4,
4,
4,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
5,
2,
4,
2,
2,
3,
3,
4,
7,
3,
2,
2,
4,
3,
2,
5,
4,
3,
6,
4,
6,
4,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
5,
2,
3,
3,
2,
3,
4,
2,
2,
2,
4,
2,
2,
2,
2,
4,
2,
4,
4,
5,
4,
4,
4,
2,
4,
2,
5,
5,
5,
2,
4,
4,
2,
4,
2,
3,
5,
3,
3,
3,
2,
4,
4,
4,
4,
5,
2,
2,
4,
3,
3,
2,
6,
2,
4,
2,
3,
2,
4,
4,
4,
4,
3,
4,
3,
2,
4,
4,
5,
6,
5,
3,
5,
5,
4,
4,
2,
2,
2,
2,
4,
1,
1,
1,
1,
2,
4,
4,
5,
1,
3,
4,
4,
4,
4,
4,
4,
4,
5,
4,
4,
6,
4,
4,
4,
3,
3,
3,
3,
2,
4,
4,
3,
2,
5,
4,
2,
5,
2,
2,
2,
4,
3,
2,
2,
2,
6,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
6,
4,
4,
4,
2,
3,
4,
2,
3,
4,
3,
4,
2,
2,
3,
3,
3,
5,
3,
6,
3,
4,
4,
3,
4,
2,
2,
4,
4,
4,
2,
2,
4,
4,
2,
4,
3,
2,
4,
2,
2,
2,
2,
4,
2,
3,
2,
2,
4,
3,
6,
7,
2,
5,
2,
2,
3,
3,
3,
2,
2,
3,
5,
5,
5,
5,
2,
3,
4,
4,
4,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
3,
3,
3,
6,
2,
4,
3,
4,
3,
3,
3,
1,
4,
4,
4,
4,
4,
2,
5,
4,
3,
2,
3,
2,
4,
2,
2,
2,
3,
2,
2,
2,
2,
5,
6,
4,
3,
2,
2,
3,
4,
4,
3,
1,
3,
2,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
2,
3,
2,
4,
2,
4,
4,
2,
2,
5,
4,
2,
2,
2,
3,
3,
4,
4,
2,
2,
2,
4,
2,
3,
3,
3,
5,
4,
5,
3,
3,
2,
2,
4,
2,
4,
4,
4,
4,
3,
3,
3,
3,
2,
6,
2,
2,
3,
4,
2,
4,
2,
4,
4,
4,
4,
3,
4,
2,
2,
4,
3,
5,
3,
4,
4,
4,
2,
4,
3,
3,
4,
7,
2,
2,
2,
3,
3,
3,
2,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
2,
3,
4,
3,
2,
2,
5,
3,
4,
3,
4,
3,
3,
3,
4,
2,
3,
3,
2,
2,
4,
4,
2,
4,
4,
3,
3,
3,
4,
5,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
3,
2,
3,
3,
4,
2,
2,
1,
2,
8,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
3,
3,
3,
2,
2,
2,
3,
5,
5,
3,
3,
2,
4,
3,
4,
3,
3,
4,
2,
4,
2,
1,
3,
4,
2,
4,
2,
2,
1,
2,
4,
5,
5,
3,
3,
4,
3,
4,
4,
2,
2,
3,
3,
4,
2,
2,
2,
2,
4,
2,
2,
3,
3,
4,
2,
3,
3,
2,
3,
3,
4,
5,
7,
2,
2,
2,
3,
4,
4,
2,
3,
2,
3,
6,
3,
3,
4,
2,
2,
4,
4,
4,
4,
4,
4,
1,
4,
4,
4,
2,
2,
2,
2,
2,
5,
2,
5,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
3,
2,
2,
4,
5,
3,
2,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
5,
2,
4,
4,
2,
2,
4,
5,
4,
4,
4,
3,
6,
4,
4,
4,
4,
4,
4,
3,
2,
3,
2,
3,
5,
2,
5,
2,
2,
4,
5,
2,
2,
3,
2,
3,
2,
3,
3,
4,
2,
4,
4,
4,
4,
5,
4,
3,
3,
2,
2,
2,
4,
2,
4,
3,
4,
4,
4,
3,
2,
4,
2,
2,
2,
2,
3,
2,
2,
3,
3,
2,
3,
3,
3,
2,
7,
2,
2,
2,
4,
4,
2,
4,
3,
4,
3,
4,
3,
1,
2,
3,
3,
5,
2,
3,
1,
2,
2,
3,
3,
4,
4,
4,
2,
4,
5,
5,
3,
2,
3,
2,
3,
4,
4,
2,
2,
3,
2,
3,
4,
4,
2,
2,
2,
2,
2,
3,
1,
3,
4,
3,
2,
2,
3,
3,
3,
4,
4,
3,
4,
4,
4,
1,
2,
2,
2,
2,
1,
2,
4,
4,
3,
2,
3,
3,
4,
4,
2,
4,
4,
4,
2,
3,
4,
6,
2,
3,
3,
4,
1,
1,
4,
4,
3,
3,
5,
2,
5,
3,
2,
2,
3,
3,
2,
2,
2,
4,
3,
2,
3,
6,
4,
2,
4,
3,
4,
4,
4,
2,
5,
5,
3,
2,
4,
4,
2,
3,
5,
2,
4,
2,
4,
4,
5,
4,
2,
2,
2,
1,
2,
4,
4,
4,
3,
3,
3,
3,
3,
4,
3,
4,
2,
5,
5,
4,
5,
3,
3,
3,
4,
2,
3,
1,
2,
2,
3,
3,
2,
4,
4,
4,
4,
6,
5,
4,
2,
2,
3,
4,
4,
3,
2,
5,
4,
2,
3,
4,
4,
4,
4,
2,
4,
1,
4,
5,
2,
2,
2,
4,
5,
4,
2,
3,
2,
3,
3,
3,
3,
4,
2,
1,
2,
2,
2,
2,
2,
4,
4,
5,
4,
3,
3,
2,
3,
6,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
3,
2,
2,
2,
4,
3,
3,
2,
4,
2,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
2,
3,
1,
2,
3,
3,
3,
3,
5,
3,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
2,
4,
5,
2,
5,
5,
3,
5,
5,
2,
2,
7,
4,
4,
4,
4,
2,
2,
3,
4,
3,
3,
2,
3,
2,
2,
2,
2,
3,
5,
4,
5,
3,
4,
4,
5,
2,
4,
2,
5,
2,
2,
1,
2,
1,
2,
3,
3,
2,
1,
3,
4,
5,
4,
4,
2,
13,
2,
3,
2,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
6,
3,
5,
3,
5,
5,
5,
6,
4,
4,
4,
4,
4,
2,
3,
3,
4,
3,
2,
2,
8,
5,
4,
6,
4,
4,
3,
3,
4,
6,
5,
3,
5,
5,
3,
3,
3,
3,
2,
5,
3,
4,
4,
2,
5,
4,
4,
2,
4,
3,
3,
3,
2,
3,
4,
3,
2,
2,
2,
4,
4,
4,
2,
2,
2,
3,
2,
4,
6,
4,
6,
2,
6,
2,
2,
2,
2,
3,
3,
7,
7,
3,
4,
4,
4,
3,
3,
3,
4,
4,
3,
2,
3,
1,
4,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
4,
3,
2,
2,
2,
2,
2,
3,
2,
3,
2,
4,
3,
3,
6,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
5,
5,
7,
2,
3,
3,
4,
4,
4,
4,
2,
4,
3,
2,
3,
3,
3,
3,
2,
5,
3,
2,
2,
2,
3,
3,
4,
2,
3,
2,
3,
3,
4,
3,
4,
4,
4,
3,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
5,
4,
6,
4,
4,
4,
8,
5,
4,
2,
2,
4,
4,
4,
4,
4,
6,
5,
8,
4,
3,
4,
2,
3,
3,
3,
6,
3,
4,
4,
3,
4,
2,
6,
3,
3,
4,
4,
2,
2,
2,
4,
3,
2,
3,
5,
4,
7,
4,
3,
4,
4,
4,
4,
6,
4,
3,
1,
2,
1,
2,
1,
2,
3,
5,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
5,
3,
4,
3,
3,
3,
4,
1,
2,
3,
2,
3,
5,
2,
1,
4,
2,
3,
4,
4,
3,
5,
1,
1,
1,
6,
3,
2,
3,
3,
2,
4,
4,
3,
4,
3,
3,
3,
3,
2,
2,
4,
3,
3,
2,
2,
2,
2,
4,
3,
3,
5,
4,
1,
4,
4,
6,
2,
3,
4,
2,
2,
2,
2,
2,
3,
4,
3,
3,
3,
3,
4,
3,
2,
2,
3,
2,
3,
5,
2,
3,
4,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
3,
4,
3,
2,
4,
4,
3,
3,
5,
4,
4,
2,
4,
2,
2,
4,
2,
4,
3,
2,
4,
4,
3,
3,
2,
2,
3,
3,
1,
3,
4,
5,
2,
2,
4,
4,
4,
4,
4,
6,
2,
4,
2,
3,
3,
2,
5,
2,
2,
3,
4,
3,
3,
2,
4,
2,
4,
4,
4,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
6,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
4,
2,
2,
3,
2,
3,
2,
4,
4,
4,
5,
6,
3,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
2,
2,
3,
5,
2,
2,
4,
6,
4,
2,
4,
4,
3,
3,
4,
3,
4,
2,
3,
1,
4,
2,
4,
2,
2,
2,
3,
4,
2,
2,
4,
3,
4,
4,
3,
2,
2,
2,
2,
2,
4,
6,
4,
5,
4,
2,
2,
3,
4,
4,
4,
4,
4,
3,
3,
4,
2,
4,
5,
4,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
6,
3,
3,
2,
3,
3,
4,
2,
2,
4,
2,
3,
3,
4,
3,
4,
3,
2,
4,
4,
4,
4,
3,
4,
4,
5,
5,
2,
3,
4,
3,
3,
2,
2,
3,
3,
4,
4,
3,
2,
3,
4,
2,
2,
2,
2,
3,
2,
4,
2,
2,
3,
4,
2,
2,
3,
2,
1,
5,
2,
5,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
3,
4,
3,
3,
2,
3,
3,
2,
4,
3,
1,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
6,
5,
6,
2,
2,
2,
2,
2,
2,
2,
6,
3,
4,
4,
4,
4,
3,
3,
2,
2,
4,
4,
4,
5,
5,
4,
3,
4,
2,
2,
5,
3,
2,
4,
2,
1,
2,
2,
2,
2,
3,
2,
2,
1,
2,
3,
6,
4,
4,
4,
5,
5,
3,
3,
2,
2,
2,
4,
7,
4,
5,
6,
6,
3,
5,
4,
7,
6,
2,
4,
7,
5,
3,
2,
4,
2,
2,
3,
4,
2,
3,
3,
2,
2,
3,
2,
4,
5,
2,
2,
2,
2,
3,
2,
3,
3,
3,
2,
3,
2,
8,
8,
3,
2,
2,
4,
4,
3,
3,
3,
4,
3,
4,
4,
3,
2,
2,
3,
3,
5,
2,
5,
5,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
6,
3,
3,
3,
3,
2,
3,
2,
2,
4,
3,
4,
2,
3,
4,
2,
4,
3,
3,
4,
2,
3,
3,
1,
1,
1,
3,
2,
2,
5,
3,
2,
3,
5,
4,
4,
6,
4,
2,
2,
3,
2,
4,
5,
2,
2,
2,
2,
2,
4,
3,
2,
2,
1,
2,
2,
2,
3,
3,
2,
2,
4,
4,
2,
3,
4,
4,
3,
5,
4,
4,
3,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
6,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
1,
4,
2,
5,
2,
8,
4,
4,
4,
2,
4,
4,
5,
3,
4,
2,
5,
3,
2,
2,
2,
3,
3,
2,
2,
2,
3,
3,
4,
2,
3,
3,
3,
2,
2,
3,
2,
3,
4,
3,
4,
3,
3,
4,
4,
5,
5,
2,
4,
4,
6,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
2,
3,
4,
3,
3,
5,
4,
2,
4,
3,
4,
2,
2,
4,
4,
2,
2,
4,
4,
4,
5,
3,
8,
2,
3,
6,
4,
3,
4,
2,
2,
2,
2,
4,
6,
5,
3,
3,
3,
3,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
3,
2,
4,
4,
3,
4,
2,
4,
3,
2,
2,
2,
4,
2,
2,
3,
2,
3,
4,
3,
4,
3,
3,
3,
4,
2,
3,
2,
2,
4,
4,
2,
4,
4,
3,
7,
2,
2,
4,
4,
2,
4,
4,
4,
2,
3,
3,
3,
3,
2,
3,
4,
3,
3,
3,
3,
4,
5,
2,
4,
6,
3,
3,
4,
2,
2,
2,
1,
2,
2,
2,
4,
3,
2,
4,
4,
4,
2,
2,
3,
2,
6,
3,
2,
2,
2,
2,
4,
4,
4,
4,
3,
3,
3,
2,
6,
4,
4,
6,
4,
3,
3,
3,
2,
2,
1,
2,
3,
2,
3,
4,
2,
4,
3,
4,
2,
2,
2,
4,
3,
2,
3,
2,
8,
2,
2,
3,
3,
4,
2,
4,
2,
7,
3,
2,
2,
5,
5,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
2,
6,
3,
2,
3,
3,
2,
2,
3,
2,
3,
3,
4,
2,
2,
2,
3,
4,
5,
3,
2,
4,
3,
6,
4,
2,
2,
4,
4,
3,
2,
2,
4,
3,
3,
2,
4,
4,
3,
4,
4,
3,
3,
2,
4,
4,
4,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
2,
2,
3,
4,
2,
2,
2,
3,
2,
4,
2,
3,
5,
4,
6,
3,
2,
3,
2,
3,
4,
2,
2,
2,
2,
5,
3,
5,
5,
6,
3,
2,
3,
2,
4,
4,
4,
3,
4,
3,
4,
2,
2,
2,
2,
4,
3,
4,
2,
6,
2,
3,
4,
5,
4,
4,
4,
4,
4,
3,
2,
7,
4,
3,
4,
4,
3,
3,
4,
3,
4,
3,
2,
3,
2,
2,
2,
2,
2,
5,
5,
2,
4,
2,
4,
4,
4,
4,
2,
2,
3,
2,
7,
4,
4,
5,
2,
4,
2,
2,
4,
2,
2,
3,
3,
3,
2,
2,
3,
3,
4,
3,
3,
3,
2,
4,
4,
3,
2,
5,
5,
2,
5,
4,
4,
4,
5,
5,
2,
2,
3,
4,
4,
2,
2,
2,
2,
2,
1,
3,
3,
2,
5,
2,
4,
2,
3,
2,
2,
4,
7,
4,
2,
4,
3,
2,
3,
5,
3,
3,
2,
2,
6,
4,
2,
3,
3,
4,
7,
3,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
1,
4,
4,
4,
4,
2,
3,
3,
4,
4,
4,
2,
2,
4,
4,
5,
4,
2,
3,
5,
3,
3,
4,
7,
4,
5,
6,
1,
3,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
6,
2,
2,
3,
3,
4,
4,
3,
3,
2,
3,
2,
3,
3,
3,
2,
2,
3,
4,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
2,
4,
1,
2,
2,
2,
4,
3,
2,
3,
2,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
3,
4,
4,
2,
2,
2,
3,
2,
3,
3,
4,
4,
4,
4,
3,
3,
3,
2,
4,
2,
4,
3,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
5,
2,
2,
4,
3,
2,
2,
4,
6,
4,
2,
3,
3,
1,
2,
1,
3,
4,
2,
4,
2,
3,
4,
2,
3,
4,
4,
2,
3,
3,
2,
2,
7,
3,
7,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
5,
4,
3,
3,
2,
4,
4,
3,
2,
4,
3,
2,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
3,
2,
3,
3,
5,
4,
2,
3,
4,
4,
3,
3,
3,
2,
2,
3,
2,
2,
4,
2,
2,
4,
4,
4,
2,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
7,
2,
4,
3,
3,
4,
5,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
3,
2,
2,
2,
2,
1,
5,
3,
3,
2,
4,
2,
5,
3,
4,
2,
5,
3,
2,
1,
3,
3,
4,
2,
3,
2,
3,
2,
3,
3,
4,
6,
3,
3,
4,
4,
3,
3,
3,
4,
4,
2,
3,
2,
3,
2,
2,
4,
2,
3,
2,
5,
3,
3,
3,
3,
4,
4,
2,
3,
2,
2,
4,
2,
2,
4,
4,
3,
2,
2,
3,
3,
5,
5,
4,
4,
3,
4,
3,
3,
4,
4,
4,
6,
4,
4,
7,
2,
4,
4,
1,
4,
4,
4,
3,
3,
2,
2,
6,
2,
3,
3,
4,
2,
2,
4,
2,
2,
2,
4,
3,
4,
5,
3,
3,
4,
2,
5,
2,
4,
4,
4,
2,
2,
2,
2,
4,
5,
3,
4,
3,
2,
2,
4,
4,
4,
3,
6,
2,
3,
2,
4,
2,
4,
2,
2,
3,
2,
3,
3,
4,
4,
3,
3,
1,
2,
3,
3,
5,
2,
5,
1,
3,
2,
2,
4,
4,
2,
2,
4,
4,
3,
3,
3,
2,
2,
4,
3,
4,
7,
4,
4,
3,
3,
2,
2,
2,
4,
3,
2,
4,
2,
2,
3,
3,
3,
3,
5,
2,
4,
4,
6,
3,
3,
3,
3,
3,
3,
3,
2,
2,
5,
2,
3,
4,
2,
2,
3,
3,
3,
3,
4,
2,
4,
4,
2,
4,
4,
3,
3,
4,
5,
4,
3,
3,
2,
2,
1,
3,
4,
3,
4,
3,
2,
5,
4,
2,
4,
3,
2,
2,
2,
2,
9,
4,
2,
2,
5,
4,
3,
2,
3,
4,
3,
3,
3,
3,
3,
4,
2,
3,
2,
2,
2,
2,
3,
4,
4,
4,
4,
2,
3,
2,
4,
3,
2,
3,
2,
3,
3,
5,
3,
5,
2,
2,
3,
3,
4,
2,
4,
6,
2,
2,
2,
3,
3,
2,
3,
4,
5,
3,
3,
3,
3,
2,
3,
3,
4,
3,
4,
2,
4,
3,
3,
4,
4,
4,
4,
5,
4,
3,
4,
4,
6,
4,
4,
4,
4,
5,
4,
4,
2,
4,
3,
4,
3,
4,
3,
3,
2,
4,
4,
3,
6,
4,
3,
4,
4,
2,
2,
4,
4,
3,
2,
5,
4,
2,
5,
3,
2,
2,
3,
2,
2,
2,
5,
4,
2,
7,
4,
2,
3,
3,
3,
2,
3,
2,
5,
2,
2,
5,
2,
4,
4,
2,
2,
3,
3,
3,
2,
3,
3,
2,
2,
2,
4,
4,
4,
2,
3,
2,
2,
2,
4,
5,
2,
3,
5,
3,
2,
3,
2,
2,
3,
3,
2,
3,
2,
2,
4,
2,
2,
3,
3,
4,
4,
5,
3,
3,
2,
3,
2,
2,
2,
2,
5,
2,
7,
4,
5,
4,
4,
4,
3,
3,
3,
3,
2,
3,
3,
2,
4,
3,
2,
2,
2,
2,
4,
4,
5,
2,
2,
2,
2,
4,
2,
5,
2,
4,
2,
3,
2,
5,
2,
4,
2,
2,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
4,
3,
2,
4,
2,
2,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
6,
3,
2,
4,
3,
2,
4,
4,
4,
3,
5,
5,
4,
4,
4,
3,
3,
2,
4,
2,
2,
2,
2,
4,
4,
2,
2,
4,
4,
4,
3,
2,
4,
3,
4,
6,
4,
4,
4,
4,
4,
4,
4,
2,
1,
2,
2,
3,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
2,
7,
7,
3,
4,
3,
2,
5,
2,
2,
3,
3,
2,
2,
3,
2,
4,
4,
3,
3,
3,
4,
4,
1,
3,
3,
6,
4,
3,
10,
3,
2,
2,
2,
2,
4,
4,
2,
2,
4,
5,
6,
3,
4,
4,
4,
5,
3,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
3,
3,
2,
4,
2,
2,
3,
2,
3,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
5,
4,
4,
4,
3,
4,
2,
2,
6,
3,
2,
4,
2,
3,
4,
1,
5,
2,
5,
2,
4,
2,
2,
2,
3,
3,
1,
2,
2,
1,
2,
3,
2,
5,
6,
5,
3,
3,
6,
3,
3,
5,
3,
3,
2,
4,
1,
6,
4,
6,
2,
3,
3,
3,
3,
2,
2,
4,
4,
2,
3,
2,
3,
3,
2,
2,
2,
4,
3,
4,
3,
3,
3,
2,
4,
3,
3,
3,
8,
2,
3,
4,
4,
8,
5,
3,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
6,
2,
2,
3,
1,
2,
2,
6,
4,
4,
3,
4,
5,
2,
2,
3,
3,
3,
2,
3,
3,
3,
4,
3,
2,
2,
2,
4,
2,
4,
4,
4,
2,
2,
3,
2,
3,
3,
2,
3,
4,
4,
2,
1,
2,
3,
2,
2,
2,
3,
3,
4,
4,
2,
5,
3,
2,
5,
3,
3,
3,
3,
4,
3,
2,
3,
2,
3,
4,
5,
5,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
4,
7,
2,
3,
2,
4,
5,
4,
2,
2,
2,
2,
2,
3,
4,
3,
3,
2,
3,
3,
3,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
3,
2,
4,
6,
2,
2,
3,
6,
2,
2,
3,
2,
3,
3,
2,
2,
5,
2,
2,
2,
3,
2,
3,
3,
2,
3,
4,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
2,
4,
4,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
7,
5,
4,
5,
5,
2,
3,
2,
3,
3,
3,
2,
4,
4,
4,
2,
2,
2,
1,
2,
4,
3,
2,
3,
2,
2,
4,
4,
2,
4,
2,
4,
4,
2,
5,
4,
4,
4,
3,
3,
3,
4,
4,
5,
4,
1,
1,
3,
3,
3,
3,
2,
4,
5,
6,
4,
3,
4,
7,
4,
2,
1,
3,
3,
2,
3,
4,
2,
3,
4,
2,
2,
2,
2,
3,
2,
2,
5,
2,
4,
4,
2,
2,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
4,
5,
4,
4,
3,
4,
4,
9,
3,
2,
2,
2,
2,
3,
3,
4,
4,
2,
4,
2,
4,
4,
4,
3,
2,
2,
3,
4,
4,
5,
3,
3,
2,
2,
2,
5,
5,
4,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
5,
3,
4,
2,
1,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
5,
2,
6,
4,
2,
2,
3,
2,
2,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
5,
3,
3,
3,
3,
4,
7,
3,
1,
3,
2,
3,
6,
5,
4,
2,
4,
4,
4,
4,
6,
4,
4,
4,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
1,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
2,
4,
4,
3,
2,
4,
3,
4,
5,
2,
4,
2,
2,
3,
2,
3,
3,
3,
4,
3,
3,
2,
2,
3,
4,
4,
4,
2,
4,
3,
2,
2,
2,
2,
1,
2,
3,
5,
2,
5,
6,
2,
2,
3,
3,
4,
3,
3,
2,
2,
4,
2,
2,
2,
3,
2,
4,
4,
3,
3,
4,
3,
2,
3,
4,
4,
2,
2,
4,
2,
1,
4,
2,
3,
3,
3,
3,
2,
4,
5,
4,
4,
1,
3,
3,
3,
5,
4,
5,
4,
4,
2,
4,
3,
5,
3,
2,
3,
2,
4,
4,
3,
3,
4,
3,
2,
2,
2,
2,
4,
2,
3,
4,
4,
5,
2,
2,
5,
2,
2,
3,
2,
2,
4,
4,
4,
4,
6,
4,
4,
2,
2,
2,
4,
2,
3,
4,
4,
4,
3,
3,
4,
4,
3,
3,
3,
3,
3,
4,
2,
2,
2,
3,
2,
3,
2,
4,
2,
3,
3,
5,
3,
2,
3,
2,
3,
4,
4,
4,
3,
2,
2,
5,
5,
2,
2,
2,
2,
2,
4,
3,
3,
2,
2,
2,
3,
2,
3,
4,
2,
3,
2,
4,
2,
2,
3,
4,
2,
3,
2,
2,
2,
2,
2,
4,
2,
3,
4,
2,
2,
3,
4,
2,
4,
2,
2,
2,
2,
3,
3,
2,
4,
3,
3,
3,
4,
4,
3,
4,
2,
2,
2,
4,
4,
5,
4,
2,
4,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
3,
1,
4,
2,
2,
5,
3,
2,
4,
3,
3,
3,
2,
4,
2,
3,
2,
2,
2,
3,
2,
3,
2,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
3,
4,
3,
4,
4,
3,
4,
3,
3,
4,
2,
4,
1,
2,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
3,
3,
2,
2,
4,
4,
4,
4,
4,
2,
4,
3,
2,
4,
3,
3,
2,
4,
4,
4,
3,
2,
3,
4,
3,
2,
2,
5,
5,
3,
3,
4,
2,
2,
2,
2,
3,
2,
4,
4,
2,
3,
2,
3,
2,
2,
3,
3,
5,
6,
4,
2,
4,
5,
3,
7,
7,
5,
6,
6,
6,
4,
2,
4,
2,
2,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
4,
4,
3,
2,
2,
2,
3,
4,
1,
4,
4,
4,
3,
2,
3,
3,
2,
2,
2,
5,
4,
4,
4,
4,
2,
5,
3,
4,
2,
2,
5,
2,
4,
2,
6,
3,
1,
4,
4,
4,
3,
3,
5,
2,
1,
4,
3,
4,
5,
2,
2,
3,
2,
2,
3,
2,
3,
3,
4,
2,
4,
4,
2,
2,
3,
3,
3,
2,
3,
2,
3,
3,
5,
3,
3,
2,
6,
1,
2,
4,
2,
2,
4,
6,
4,
4,
2,
2,
4,
4,
2,
4,
3,
4,
3,
5,
5,
4,
4,
4,
2,
2,
4,
5,
4,
4,
4,
2,
2,
3,
2,
2,
3,
3,
5,
4,
1,
3,
3,
3,
4,
2,
4,
4,
4,
5,
4,
4,
4,
2,
4,
6,
5,
5,
4,
4,
4,
3,
3,
3,
2,
3,
2,
4,
3,
3,
2,
4,
2,
4,
3,
4,
4,
4,
5,
5,
3,
7,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
2,
4,
4,
3,
2,
2,
2,
3,
3,
4,
2,
2,
4,
3,
2,
2,
3,
3,
4,
2,
3,
3,
2,
3,
3,
2,
2,
3,
3,
3,
2,
1,
4,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
5,
2,
4,
4,
1,
3,
1,
2,
2,
4,
2,
3,
2,
2,
4,
6,
3,
3,
4,
3,
2,
5,
5,
4,
2,
4,
4,
4,
4,
2,
2,
4,
2,
2,
2,
4,
5,
3,
2,
2,
3,
3,
4,
4,
4,
3,
3,
3,
5,
3,
3,
3,
3,
2,
5,
2,
2,
2,
3,
2,
1,
2,
2,
3,
5,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
3,
2,
4,
4,
4,
3,
4,
4,
2,
4,
6,
2,
3,
3,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
4,
2,
4,
3,
4,
4,
2,
1,
2,
3,
2,
3,
3,
3,
5,
8,
3,
3,
4,
1,
3,
3,
3,
3,
3,
3,
3,
2,
5,
3,
1,
2,
2,
2,
3,
2,
5,
1,
5,
2,
2,
2,
4,
6,
1,
4,
4,
4,
5,
2,
4,
4,
4,
3,
3,
4,
2,
4,
2,
2,
5,
4,
4,
3,
4,
2,
2,
6,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
4,
2,
2,
8,
2,
2,
3,
4,
4,
5,
4,
2,
3,
4,
4,
2,
4,
4,
2,
4,
2,
2,
3,
5,
2,
1,
1,
1,
4,
1,
4,
1,
2,
3,
3,
1,
2,
2,
2,
3,
2,
2,
2,
3,
2,
3,
3,
3,
2,
1,
2,
2,
4,
3,
3,
3,
2,
2,
2,
4,
6,
3,
4,
4,
2,
3,
3,
4,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
5,
5,
5,
4,
4,
3,
3,
2,
4,
3,
2,
4,
2,
3,
3,
3,
4,
3,
3,
2,
3,
4,
4,
4,
3,
4,
4,
3,
5,
5,
4,
3,
4,
2,
2,
2,
4,
1,
3,
3,
2,
2,
2,
4,
3,
2,
6,
2,
2,
3,
4,
2,
2,
3,
4,
3,
3,
3,
3,
7,
3,
3,
2,
5,
3,
7,
2,
2,
2,
3,
4,
3,
2,
2,
4,
2,
3,
3,
2,
2,
4,
3,
3,
4,
4,
3,
4,
6,
4,
4,
4,
2,
2,
3,
4,
3,
3,
2,
3,
3,
3,
2,
3,
4,
5,
4,
3,
2,
3,
3,
2,
2,
1,
3,
2,
1,
4,
2,
2,
3,
3,
3,
5,
3,
4,
5,
4,
2,
2,
3,
4,
3,
3,
3,
2,
3,
3,
3,
4,
6,
5,
4,
2,
2,
2,
1,
2,
2,
2,
5,
3,
2,
1,
2,
1,
1,
2,
5,
4,
2,
2,
2,
3,
3,
2,
2,
2,
4,
5,
4,
2,
2,
1,
2,
1,
1,
2,
4,
4,
2,
4,
2,
4,
4,
3,
3,
3,
3,
3,
4,
2,
3,
2,
4,
3,
3,
4,
2,
4,
4,
4,
2,
3,
3,
2,
4,
2,
2,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
5,
4,
3,
2,
6,
6,
5,
4,
3,
2,
3,
3,
2,
2,
3,
5,
3,
4,
3,
4,
4,
4,
2,
2,
3,
2,
3,
3,
4,
3,
3,
2,
3,
2,
3,
5,
5,
7,
3,
4,
4,
3,
2,
2,
4,
4,
4,
4,
6,
7,
3,
2,
2,
3,
3,
2,
4,
3,
4,
6,
1,
4,
1,
2,
2,
3,
2,
3,
5,
5,
4,
3,
3,
3,
3,
3,
4,
3,
2,
2,
4,
4,
3,
3,
4,
3,
3,
4,
3,
1,
3,
7,
4,
4,
2,
3,
4,
3,
4,
3,
3,
4,
4,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
4,
4,
2,
5,
2,
2,
4,
1,
3,
2,
3,
2,
3,
3,
3,
3,
4,
4,
2,
2,
3,
3,
4,
5,
2,
4,
3,
3,
3,
3,
6,
2,
2,
3,
3,
3,
5,
3,
3,
3,
3,
3,
4,
4,
5,
2,
4,
3,
3,
4,
2,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
4,
5,
3,
5,
3,
2,
3,
2,
2,
4,
3,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
3,
2,
3,
4,
8,
4,
4,
4,
5,
4,
2,
1,
4,
2,
2,
3,
4,
4,
4,
2,
3,
4,
3,
4,
4,
5,
5,
3,
3,
3,
5,
4,
4,
3,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
3,
3,
4,
4,
3,
4,
4,
5,
4,
2,
3,
3,
3,
3,
2,
3,
2,
3,
3,
4,
2,
5,
4,
2,
4,
4,
2,
4,
4,
2,
2,
4,
3,
3,
3,
6,
3,
2,
2,
2,
3,
3,
4,
4,
3,
3,
2,
3,
2,
5,
4,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
2,
1,
3,
4,
4,
1,
3,
3,
4,
3,
2,
3,
3,
3,
4,
2,
3,
4,
4,
5,
3,
2,
2,
2,
5,
3,
3,
3,
3,
3,
4,
6,
2,
8,
2,
1,
2,
2,
4,
4,
2,
2,
3,
3,
3,
2,
3,
4,
3,
3,
2,
5,
4,
5,
4,
3,
5,
5,
6,
4,
8,
3,
6,
4,
1,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
3,
6,
2,
7,
7,
4,
4,
2,
3,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
2,
2,
3,
4,
4,
4,
4,
2,
3,
3,
4,
2,
4,
4,
2,
3,
4,
2,
2,
4,
6,
3,
4,
5,
4,
4,
4,
4,
5,
3,
5,
4,
2,
5,
5,
2,
3,
2,
2,
2,
2,
2,
4,
2,
4,
3,
2,
3,
4,
5,
4,
4,
8,
2,
2,
2,
3,
2,
2,
3,
5,
4,
4,
3,
4,
2,
5,
2,
2,
4,
2,
4,
2,
2,
4,
4,
2,
2,
4,
2,
4,
4,
2,
3,
2,
2,
3,
2,
2,
3,
4,
2,
2,
4,
2,
2,
3,
2,
2,
3,
4,
3,
3,
3,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
5,
4,
5,
4,
3,
5,
2,
2,
4,
4,
2,
2,
2,
2,
4,
4,
4,
2,
4,
2,
4,
4,
2,
2,
3,
2,
3,
5,
5,
3,
2,
2,
2,
5,
2,
8,
5,
2,
2,
2,
3,
3,
3,
3,
6,
6,
5,
3,
2,
2,
5,
3,
5,
2,
2,
2,
3,
3,
3,
5,
2,
3,
3,
1,
4,
3,
4,
6,
3,
2,
4,
3,
6,
2,
2,
4,
4,
2,
4,
5,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
3,
2,
4,
5,
4,
2,
4,
4,
3,
4,
2,
2,
2,
4,
4,
3,
5,
5,
3,
7,
2,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
2,
3,
4,
2,
2,
1,
3,
6,
3,
3,
4,
2,
4,
4,
2,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
3,
3,
6,
3,
2,
2,
2,
4,
3,
3,
4,
2,
4,
2,
2,
3,
2,
3,
2,
6,
2,
2,
2,
3,
4,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
3,
2,
4,
3,
2,
2,
3,
4,
2,
3,
5,
3,
2,
3,
2,
9,
3,
3,
5,
2,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
4,
4,
2,
2,
2,
2,
4,
4,
2,
3,
3,
3,
4,
1,
5,
2,
5,
3,
5,
3,
4,
3,
4,
3,
4,
4,
2,
4,
2,
4,
3,
3,
3,
3,
2,
5,
2,
3,
4,
2,
2,
2,
4,
3,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
4,
5,
4,
5,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
2,
4,
2,
4,
4,
5,
4,
7,
4,
2,
2,
2,
3,
6,
2,
2,
4,
3,
3,
4,
4,
3,
4,
2,
2,
6,
6,
4,
2,
2,
4,
2,
3,
4,
4,
3,
3,
2,
2,
3,
7,
4,
2,
3,
3,
4,
4,
4,
5,
4,
5,
5,
5,
2,
3,
2,
1,
2,
1,
2,
2,
2,
3,
2,
3,
2,
2,
4,
2,
4,
1,
5,
5,
2,
3,
5,
5,
5,
3,
4,
3,
3,
1,
1,
1,
2,
4,
2,
2,
7,
2,
2,
4,
4,
4,
4,
3,
2,
2,
2,
4,
2,
4,
5,
4,
2,
3,
2,
3,
3,
4,
2,
4,
3,
7,
4,
6,
3,
2,
2,
2,
4,
4,
3,
3,
3,
2,
2,
3,
3,
3,
2,
4,
2,
3,
2,
4,
4,
2,
4,
3,
4,
4,
2,
3,
3,
2,
2,
4,
4,
3,
3,
2,
3,
5,
2,
3,
6,
3,
3,
2,
2,
2,
4,
4,
2,
3,
4,
5,
4,
5,
2,
3,
2,
2,
2,
3,
3,
3,
3,
5,
3,
2,
2,
7,
4,
2,
2,
4,
3,
4,
3,
2,
2,
3,
3,
5,
2,
2,
5,
5,
7,
5,
3,
3,
6,
4,
5,
3,
3,
3,
6,
2,
2,
2,
3,
3,
2,
2,
3,
3,
2,
2,
2,
4,
2,
2,
2,
3,
4,
2,
4,
2,
4,
2,
2,
4,
3,
2,
4,
2,
2,
2,
4,
3,
10,
2,
2,
4,
5,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
3,
4,
2,
3,
3,
3,
3,
3,
2,
3,
2,
5,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
1,
2,
2,
4,
3,
2,
5,
3,
3,
5,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
2,
3,
3,
4,
2,
2,
2,
4,
3,
1,
2,
4,
3,
2,
1,
3,
3,
3,
6,
3,
2,
4,
4,
4,
4,
4,
2,
3,
5,
3,
4,
2,
4,
4,
4,
4,
3,
3,
2,
2,
4,
3,
2,
3,
3,
3,
3,
2,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
3,
4,
3,
2,
2,
3,
2,
2,
3,
2,
4,
2,
3,
2,
2,
3,
2,
3,
2,
3,
3,
2,
4,
1,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
1,
4,
4,
7,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
3,
3,
1,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
3,
2,
1,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
2,
3,
2,
6,
5,
4,
4,
4,
4,
4,
1,
2,
2,
2,
2,
3,
3,
4,
2,
4,
2,
2,
4,
4,
4,
2,
2,
3,
4,
5,
3,
4,
7,
4,
5,
6,
2,
2,
2,
4,
4,
9,
2,
2,
4,
2,
4,
4,
4,
2,
2,
2,
1,
4,
4,
2,
4,
4,
2,
2,
3,
2,
2,
3,
2,
4,
4,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
3,
3,
3,
2,
4,
3,
6,
4,
2,
2,
2,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
3,
4,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
3,
4,
4,
4,
2,
4,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
4,
2,
3,
5,
2,
2,
3,
3,
4,
2,
1,
2,
4,
4,
4,
3,
2,
4,
5,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
3,
4,
2,
2,
2,
2,
4,
3,
2,
4,
4,
3,
4,
1,
3,
2,
2,
3,
2,
2,
7,
4,
3,
2,
3,
3,
2,
4,
4,
4,
2,
2,
2,
3,
6,
4,
3,
2,
2,
2,
2,
4,
3,
2,
3,
4,
6,
6,
5,
4,
3,
3,
3,
3,
2,
2,
6,
3,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
4,
6,
3,
3,
3,
3,
3,
5,
3,
4,
3,
5,
5,
2,
4,
2,
5,
2,
4,
2,
2,
4,
5,
2,
2,
2,
2,
4,
3,
2,
3,
2,
2,
2,
3,
2,
2,
2,
4,
2,
2,
4,
4,
4,
4,
4,
3,
4,
2,
4,
3,
4,
3,
4,
4,
5,
4,
4,
3,
2,
3,
3,
3,
2,
2,
2,
4,
3,
2,
4,
4,
2,
2,
3,
3,
2,
3,
4,
4,
4,
3,
2,
3,
2,
2,
1,
3,
3,
3,
2,
2,
2,
1,
3,
4,
2,
3,
3,
3,
4,
4,
2,
1,
5,
2,
2,
2,
5,
2,
2,
4,
2,
2,
4,
4,
4,
3,
3,
5,
3,
3,
6,
7,
4,
4,
4,
4,
2,
5,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
1,
3,
3,
2,
2,
3,
6,
2,
3,
4,
3,
2,
2,
2,
4,
4,
4,
2,
2,
3,
4,
3,
4,
4,
3,
4,
2,
2,
3,
5,
3,
2,
2,
3,
4,
4,
4,
3,
2,
3,
3,
4,
2,
3,
3,
2,
2,
3,
3,
3,
2,
2,
4,
5,
2,
4,
4,
3,
3,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
5,
5,
2,
4,
2,
2,
4,
5,
2,
4,
2,
4,
2,
4,
2,
3,
3,
2,
2,
3,
2,
2,
2,
2,
4,
4,
4,
2,
2,
4,
5,
4,
2,
3,
7,
5,
2,
2,
2,
3,
1,
4,
3,
2,
2,
2,
3,
2,
4,
2,
5,
4,
2,
4,
2,
4,
3,
4,
2,
4,
2,
3,
3,
3,
2,
5,
5,
6,
4,
4,
3,
2,
7,
6,
4,
5,
4,
5,
4,
5,
4,
5,
4,
2,
4,
4,
4,
4,
3,
1,
3,
5,
2,
2,
2,
4,
6,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
5,
4,
2,
3,
2,
2,
4,
5,
3,
4,
3,
3,
2,
4,
4,
4,
4,
2,
1,
2,
2,
3,
3,
2,
3,
2,
4,
2,
4,
2,
2,
5,
2,
4,
2,
3,
3,
2,
2,
2,
2,
2,
5,
3,
5,
4,
2,
3,
2,
3,
3,
2,
3,
2,
2,
3,
4,
4,
2,
2,
3,
5,
3,
2,
3,
3,
3,
2,
3,
3,
2,
2,
3,
5,
3,
3,
5,
6,
4,
2,
2,
3,
2,
2,
3,
2,
2,
4,
2,
6,
3,
3,
3,
3,
3,
6,
4,
5,
3,
1,
3,
4,
2,
4,
4,
3,
4,
6,
3,
4,
4,
4,
5,
3,
3,
2,
4,
2,
2,
2,
3,
4,
4,
3,
2,
3,
3,
3,
2,
5,
4,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
4,
4,
4,
3,
3,
5,
2,
2,
2,
5,
3,
3,
3,
4,
4,
3,
4,
5,
6,
3,
6,
6,
3,
3,
2,
4,
6,
4,
4,
4,
2,
2,
5,
2,
3,
2,
6,
4,
2,
4,
4,
3,
4,
2,
2,
3,
3,
4,
4,
2,
6,
2,
3,
3,
2,
4,
4,
4,
2,
4,
4,
2,
2,
3,
3,
4,
2,
3,
4,
3,
3,
2,
2,
4,
2,
4,
2,
5,
5,
4,
4,
5,
2,
2,
2,
3,
3,
5,
2,
2,
5,
3,
3,
3,
3,
4,
4,
2,
2,
2,
4,
2,
6,
6,
2,
2,
4,
2,
2,
4,
4,
2,
3,
5,
4,
3,
4,
3,
3,
4,
4,
4,
4,
4,
3,
2,
3,
4,
4,
4,
4,
2,
2,
2,
4,
3,
4,
2,
2,
4,
3,
3,
2,
3,
3,
4,
4,
4,
4,
3,
4,
5,
5,
4,
5,
5,
2,
2,
4,
4,
4,
6,
4,
2,
2,
2,
2,
2,
2,
6,
4,
4,
3,
4,
4,
3,
2,
3,
3,
4,
2,
2,
4,
4,
3,
3,
3,
4,
3,
4,
3,
4,
2,
4,
2,
2,
4,
4,
4,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
3,
4,
5,
4,
2,
3,
2,
3,
2,
2,
4,
5,
5,
6,
2,
3,
2,
3,
5,
2,
4,
2,
4,
3,
2,
4,
2,
2,
3,
3,
2,
3,
3,
3,
2,
4,
2,
3,
2,
2,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
1,
1,
4,
4,
4,
5,
4,
3,
3,
3,
4,
4,
4,
3,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
5,
4,
4,
3,
2,
2,
2,
2,
3,
4,
3,
2,
3,
2,
5,
3,
3,
3,
6,
3,
3,
3,
3,
3,
3,
4,
6,
6,
3,
3,
3,
3,
6,
6,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
3,
4,
4,
4,
6,
7,
4,
2,
4,
4,
3,
4,
5,
3,
7,
2,
2,
2,
3,
2,
4,
2,
2,
2,
2,
5,
4,
2,
2,
4,
5,
2,
2,
2,
6,
4,
3,
2,
2,
2,
2,
3,
5,
2,
3,
4,
3,
4,
5,
2,
6,
2,
6,
2,
4,
3,
1,
6,
6,
2,
3,
2,
2,
3,
2,
2,
3,
2,
2,
4,
3,
2,
3,
2,
2,
4,
3,
3,
4,
4,
2,
3,
4,
4,
7,
3,
2,
1,
4,
4,
6,
4,
4,
4,
3,
4,
2,
2,
2,
2,
3,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
8,
7,
2,
3,
3,
3,
3,
2,
4,
2,
2,
4,
2,
4,
4,
2,
3,
3,
2,
3,
2,
5,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
4,
3,
3,
2,
3,
4,
4,
2,
2,
4,
4,
2,
6,
5,
3,
4,
3,
3,
2,
3,
4,
2,
2,
4,
3,
3,
3,
3,
5,
7,
4,
2,
5,
2,
2,
2,
2,
3,
4,
4,
3,
4,
4,
4,
3,
3,
4,
2,
3,
4,
4,
3,
2,
3,
4,
2,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
2,
4,
2,
3,
4,
3,
2,
3,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
5,
3,
3,
4,
3,
2,
3,
4,
2,
3,
4,
4,
3,
2,
2,
8,
4,
2,
2,
5,
4,
5,
2,
7,
3,
3,
3,
2,
3,
3,
3,
2,
3,
3,
2,
4,
4,
4,
5,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
2,
4,
2,
3,
2,
2,
2,
2,
3,
2,
3,
4,
2,
4,
4,
2,
4,
4,
3,
3,
3,
2,
3,
2,
3,
3,
3,
3,
2,
3,
3,
5,
2,
2,
2,
3,
4,
3,
6,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
5,
2,
2,
4,
4,
4,
5,
3,
5,
4,
2,
3,
3,
2,
4,
5,
4,
2,
2,
2,
6,
2,
4,
4,
3,
2,
2,
4,
4,
4,
3,
4,
4,
4,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
2,
4,
3,
4,
4,
4,
6,
6,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
4,
3,
2,
4,
3,
3,
3,
2,
3,
2,
3,
3,
2,
3,
3,
3,
7,
2,
3,
1,
4,
4,
4,
5,
5,
5,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
5,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
4,
6,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
3,
3,
5,
2,
4,
4,
4,
2,
5,
2,
2,
4,
4,
2,
2,
4,
2,
3,
3,
5,
4,
6,
2,
2,
2,
2,
2,
4,
3,
4,
3,
2,
3,
2,
5,
2,
2,
4,
1,
3,
2,
3,
3,
3,
2,
2,
2,
3,
4,
3,
2,
2,
3,
4,
4,
5,
3,
2,
2,
2,
4,
5,
6,
3,
3,
3,
3,
5,
2,
1,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
2,
3,
3,
3,
2,
4,
4,
3,
3,
4,
4,
4,
5,
4,
3,
3,
3,
2,
5,
4,
1,
2,
3,
5,
4,
4,
3,
2,
3,
4,
4,
4,
3,
4,
4,
3,
3,
6,
5,
4,
2,
7,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
4,
4,
2,
4,
3,
3,
2,
2,
4,
4,
6,
4,
4,
4,
4,
3,
2,
3,
4,
7,
2,
5,
3,
3,
3,
3,
2,
4,
2,
4,
4,
2,
3,
2,
3,
2,
1,
3,
4,
4,
4,
4,
3,
3,
6,
3,
3,
7,
3,
3,
3,
4,
4,
4,
4,
3,
4,
2,
2,
2,
6,
2,
3,
3,
3,
2,
2,
3,
4,
3,
3,
3,
3,
3,
4,
4,
4,
2,
4,
2,
2,
4,
4,
3,
4,
2,
2,
4,
4,
4,
5,
3,
4,
3,
4,
4,
2,
2,
1,
2,
2,
2,
2,
6,
2,
4,
4,
4,
2,
4,
2,
3,
2,
2,
2,
3,
4,
2,
2,
4,
4,
2,
3,
4,
4,
2,
3,
3,
3,
4,
3,
2,
5,
3,
3,
2,
3,
5,
3,
2,
4,
4,
4,
4,
3,
2,
2,
2,
2,
3,
2,
2,
7,
2,
2,
2,
2,
2,
2,
1,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
3,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
2,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
3,
1,
4,
2,
2,
4,
3,
3,
3,
5,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
2,
4,
2,
3,
3,
2,
7,
5,
2,
3,
3,
4,
3,
1,
2,
3,
3,
1,
1,
2,
4,
2,
4,
4,
4,
2,
2,
4,
4,
3,
3,
2,
3,
2,
2,
3,
3,
2,
3,
3,
3,
2,
2,
4,
4,
4,
3,
2,
2,
5,
3,
3,
2,
4,
4,
4,
4,
2,
2,
3,
4,
3,
4,
2,
4,
3,
4,
4,
2,
4,
2,
4,
3,
3,
2,
4,
4,
1,
4,
2,
2,
2,
3,
1,
1,
5,
3,
3,
2,
3,
5,
3,
2,
2,
2,
5,
4,
6,
3,
2,
3,
4,
4,
4,
2,
2,
2,
2,
2,
3,
4,
4,
3,
5,
2,
2,
3,
3,
3,
2,
2,
3,
4,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
2,
2,
4,
2,
4,
2,
4,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
5,
3,
4,
3,
3,
2,
2,
3,
4,
5,
4,
4,
2,
2,
4,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
3,
4,
4,
3,
4,
4,
4,
4,
4,
5,
2,
4,
4,
2,
2,
2,
3,
2,
3,
2,
2,
3,
2,
2,
4,
4,
4,
10,
4,
2,
3,
4,
2,
4,
4,
5,
5,
5,
7,
6,
3,
3,
5,
4,
2,
2,
3,
2,
2,
3,
2,
3,
4,
6,
3,
3,
3,
3,
3,
4,
5,
4,
5,
4,
4,
3,
2,
3,
1,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
4,
2,
3,
5,
3,
4,
4,
4,
3,
4,
5,
4,
5,
2,
3,
2,
2,
3,
2,
2,
2,
4,
2,
2,
3,
3,
2,
4,
4,
4,
2,
3,
2,
2,
3,
4,
3,
4,
4,
4,
2,
6,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
3,
4,
2,
1,
4,
5,
4,
1,
4,
3,
2,
2,
2,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
4,
2,
4,
3,
2,
2,
4,
4,
2,
3,
3,
5,
4,
3,
5,
2,
4,
2,
2,
2,
2,
2,
2,
5,
2,
2,
3,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
5,
5,
4,
3,
3,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
2,
1,
1,
3,
2,
6,
4,
3,
4,
4,
4,
2,
5,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
2,
2,
1,
3,
2,
4,
5,
2,
2,
2,
2,
2,
2,
3,
1,
4,
2,
4,
2,
2,
2,
4,
5,
2,
4,
6,
8,
3,
4,
7,
7,
2,
2,
2,
2,
4,
2,
4,
2,
2,
2,
2,
3,
5,
2,
2,
3,
3,
2,
3,
2,
4,
2,
2,
2,
3,
2,
4,
3,
4,
3,
4,
3,
2,
3,
2,
4,
4,
4,
2,
4,
3,
1,
2,
3,
2,
3,
2,
2,
4,
4,
3,
2,
4,
5,
3,
2,
3,
3,
2,
2,
3,
2,
2,
2,
4,
2,
5,
4,
3,
5,
5,
2,
4,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
4,
2,
3,
2,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
5,
4,
2,
3,
3,
4,
5,
3,
4,
3,
7,
2,
2,
3,
4,
2,
2,
6,
2,
2,
2,
2,
2,
4,
5,
4,
3,
1,
2,
4,
3,
4,
4,
3,
3,
5,
5,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
2,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
3,
6,
4,
3,
4,
3,
3,
2,
2,
5,
5,
3,
7,
5,
3,
2,
3,
5,
3,
3,
3,
3,
6,
4,
4,
3,
2,
2,
4,
4,
2,
4,
2,
1,
2,
1,
2,
4,
3,
4,
1,
7,
5,
3,
4,
4,
4,
3,
3,
1,
1,
3,
3,
1,
1,
1,
1,
2,
2,
3,
4,
1,
3,
3,
3,
2,
2,
5,
2,
3,
4,
5,
5,
2,
7,
4,
7,
3,
2,
4,
2,
2,
3,
3,
4,
4,
2,
4,
4,
4,
2,
3,
2,
4,
4,
3,
1,
3,
5,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
3,
2,
3,
2,
3,
3,
4,
3,
6,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
5,
4,
3,
4,
4,
4,
6,
4,
4,
2,
2,
3,
4,
5,
2,
4,
2,
3,
6,
6,
3,
5,
3,
2,
2,
1,
2,
3,
3,
3,
5,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
3,
4,
3,
2,
3,
3,
3,
3,
2,
3,
3,
4,
3,
3,
3,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
3,
4,
4,
3,
2,
4,
3,
2,
3,
3,
2,
2,
2,
3,
3,
2,
3,
2,
2,
2,
4,
2,
5,
3,
5,
4,
4,
4,
4,
2,
4,
4,
2,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
3,
4,
3,
2,
3,
2,
4,
4,
2,
5,
4,
3,
2,
5,
3,
2,
2,
2,
2,
3,
2,
3,
5,
2,
5,
5,
5,
1,
3,
2,
2,
1,
1,
2,
2,
2,
4,
2,
3,
3,
3,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
4,
4,
2,
2,
3,
4,
4,
2,
2,
4,
2,
4,
4,
5,
5,
5,
3,
5,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
7,
5,
2,
3,
2,
4,
4,
6,
4,
6,
4,
3,
4,
4,
4,
4,
4,
2,
2,
3,
3,
5,
3,
3,
2,
3,
4,
2,
4,
3,
4,
2,
3,
3,
5,
2,
4,
3,
4,
2,
4,
3,
5,
3,
4,
3,
1,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
4,
8,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
5,
2,
5,
5,
3,
4,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
3,
4,
3,
4,
3,
3,
1,
5,
2,
4,
4,
3,
3,
3,
2,
3,
3,
4,
1,
2,
6,
6,
2,
2,
4,
4,
4,
4,
5,
5,
3,
2,
8,
2,
4,
3,
3,
2,
3,
2,
3,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
2,
4,
2,
3,
4,
2,
5,
5,
3,
2,
4,
4,
3,
4,
4,
4,
2,
4,
4,
4,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
7,
3,
3,
3,
4,
2,
4,
2,
2,
3,
3,
5,
4,
4,
3,
3,
7,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
4,
4,
5,
4,
8,
4,
4,
4,
4,
2,
3,
3,
2,
5,
5,
4,
3,
2,
3,
2,
3,
3,
2,
3,
4,
5,
4,
3,
3,
2,
5,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
1,
3,
3,
4,
2,
4,
3,
2,
3,
4,
3,
2,
2,
1,
1,
5,
2,
4,
2,
3,
4,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
4,
4,
3,
4,
4,
4,
3,
6,
7,
5,
2,
4,
4,
4,
3,
4,
3,
2,
2,
1,
2,
2,
3,
3,
4,
3,
4,
3,
2,
2,
2,
3,
3,
4,
3,
2,
4,
4,
5,
4,
5,
2,
2,
7,
5,
5,
2,
3,
3,
3,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
5,
4,
5,
4,
4,
3,
4,
2,
1,
4,
5,
4,
2,
3,
4,
2,
4,
3,
3,
4,
3,
2,
3,
2,
3,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
5,
3,
2,
2,
4,
4,
2,
3,
3,
5,
2,
4,
2,
2,
4,
5,
6,
2,
4,
2,
3,
4,
4,
4,
2,
2,
2,
2,
2,
4,
1,
2,
2,
4,
5,
1,
3,
2,
8,
3,
4,
3,
2,
3,
4,
2,
3,
3,
5,
3,
2,
2,
2,
1,
2,
1,
4,
2,
1,
2,
4,
3,
2,
2,
5,
3,
4,
4,
4,
4,
4,
1,
2,
3,
6,
3,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
4,
3,
3,
5,
2,
2,
2,
5,
2,
2,
2,
2,
8,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
4,
3,
3,
4,
3,
4,
2,
2,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
1,
2,
2,
2,
3,
4,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
4,
2,
2,
4,
2,
2,
3,
2,
2,
2,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
3,
2,
1,
2,
2,
3,
4,
4,
2,
3,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
2,
2,
3,
4,
2,
4,
3,
2,
2,
3,
4,
2,
2,
2,
2,
4,
4,
2,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
2,
3,
4,
2,
2,
2,
3,
3,
3,
5,
3,
2,
3,
3,
1,
1,
2,
3,
5,
2,
4,
5,
2,
2,
2,
3,
3,
2,
2,
3,
2,
4,
2,
3,
3,
3,
2,
2,
2,
3,
5,
4,
4,
2,
2,
2,
2,
2,
2,
2,
6,
2,
4,
3,
2,
2,
4,
1,
6,
2,
3,
3,
3,
4,
4,
3,
3,
4,
4,
4,
4,
3,
4,
4,
2,
5,
3,
2,
4,
4,
5,
3,
2,
4,
4,
2,
4,
2,
2,
2,
2,
7,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
4,
2,
4,
4,
4,
2,
2,
3,
2,
2,
4,
4,
6,
8,
4,
3,
3,
3,
4,
5,
5,
4,
4,
4,
3,
3,
4,
2,
4,
2,
3,
4,
2,
2,
2,
3,
4,
3,
2,
2,
2,
2,
2,
3,
4,
4,
3,
2,
3,
5,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
3,
5,
2,
4,
1,
2,
3,
3,
3,
2,
2,
4,
4,
3,
3,
4,
4,
2,
1,
3,
3,
2,
2,
3,
2,
4,
3,
2,
3,
2,
3,
2,
2,
2,
2,
1,
2,
2,
4,
3,
2,
3,
4,
2,
2,
2,
2,
3,
2,
5,
3,
3,
3,
4,
3,
6,
6,
2,
3,
3,
3,
3,
5,
3,
4,
4,
2,
4,
2,
2,
2,
4,
2,
2,
4,
3,
3,
2,
2,
3,
2,
2,
3,
3,
2,
2,
3,
2,
3,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
5,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
4,
2,
3,
2,
4,
6,
5,
4,
4,
1,
4,
3,
3,
2,
3,
2,
3,
3,
4,
5,
6,
2,
4,
5,
4,
1,
1,
3,
3,
4,
5,
5,
4,
3,
4,
3,
6,
5,
2,
4,
5,
2,
3,
4,
4,
5,
4,
2,
2,
4,
4,
3,
7,
4,
3,
2,
3,
3,
4,
5,
4,
3,
3,
2,
2,
2,
2,
2,
1,
4,
3,
2,
2,
2,
2,
2,
2,
4,
2,
3,
4,
4,
5,
2,
2,
3,
3,
2,
3,
7,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
3,
2,
1,
3,
3,
4,
2,
3,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
3,
2,
3,
5,
2,
5,
2,
2,
7,
5,
5,
5,
2,
4,
5,
3,
4,
3,
2,
3,
3,
4,
3,
2,
4,
4,
4,
4,
2,
2,
4,
2,
2,
8,
4,
6,
6,
2,
2,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
3,
4,
2,
4,
3,
3,
5,
2,
3,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
6,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
3,
3,
2,
4,
4,
2,
4,
4,
3,
4,
3,
3,
3,
2,
4,
4,
3,
2,
4,
3,
4,
6,
2,
5,
2,
2,
2,
2,
3,
3,
4,
6,
5,
5,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
6,
4,
4,
5,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
1,
2,
2,
2,
2,
2,
2,
2,
2,
6,
2,
5,
4,
2,
2,
4,
2,
4,
4,
4,
3,
4,
4,
3,
3,
4,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
4,
2,
2,
4,
2,
4,
4,
5,
4,
4,
4,
3,
5,
2,
2,
4,
1,
4,
2,
3,
3,
2,
4,
2,
2,
4,
4,
4,
8,
4,
2,
4,
4,
1,
4,
2,
2,
2,
5,
4,
2,
3,
3,
3,
4,
4,
4,
2,
4,
2,
3,
3,
3,
2,
5,
5,
2,
4,
4,
4,
4,
4,
4,
3,
6,
3,
3,
3,
3,
3,
3,
2,
5,
2,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
2,
4,
2,
6,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
3,
3,
4,
3,
3,
3,
4,
3,
3,
3,
2,
2,
3,
3,
5,
2,
2,
2,
2,
3,
3,
2,
2,
4,
3,
2,
2,
4,
3,
4,
8,
5,
4,
4,
4,
4,
4,
3,
3,
3,
4,
2,
2,
1,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
2,
4,
3,
2,
2,
3,
2,
3,
2,
3,
3,
2,
4,
2,
2,
3,
5,
5,
1,
2,
4,
4,
4,
2,
4,
4,
4,
6,
4,
3,
4,
2,
2,
2,
4,
4,
3,
4,
5,
5,
3,
4,
3,
3,
3,
2,
2,
3,
4,
2,
3,
3,
4,
4,
4,
3,
4,
3,
3,
3,
4,
5,
5,
2,
4,
2,
2,
4,
5,
2,
2,
3,
3,
2,
3,
3,
2,
4,
3,
2,
1,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
2,
3,
3,
2,
4,
3,
2,
2,
2,
3,
3,
2,
1,
1,
3,
3,
3,
3,
3,
4,
3,
4,
2,
1,
4,
4,
4,
4,
4,
5,
3,
7,
4,
2,
7,
3,
3,
5,
6,
3,
8,
3,
3,
3,
4,
4,
3,
4,
6,
2,
6,
4,
2,
2,
2,
4,
4,
5,
4,
2,
4,
2,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
2,
3,
5,
7,
3,
3,
3,
2,
4,
4,
3,
3,
1,
3,
3,
3,
3,
2,
2,
2,
4,
3,
2,
3,
3,
2,
3,
8,
4,
3,
4,
4,
2,
2,
4,
4,
2,
3,
4,
4,
5,
4,
5,
2,
4,
2,
4,
4,
3,
8,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
3,
5,
5,
5,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
6,
4,
2,
1,
2,
3,
3,
3,
3,
2,
4,
4,
4,
4,
2,
2,
3,
3,
2,
4,
4,
2,
4,
4,
5,
4,
4,
4,
4,
3,
5,
7,
3,
3,
4,
5,
2,
2,
4,
2,
2,
3,
3,
5,
6,
4,
4,
3,
4,
2,
2,
4,
3,
2,
3,
6,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
1,
3,
2,
8,
4,
3,
2,
4,
4,
3,
3,
3,
3,
2,
2,
3,
5,
4,
4,
5,
3,
4,
4,
4,
4,
4,
4,
6,
4,
4,
4,
4,
4,
3,
5,
3,
3,
3,
3,
2,
3,
4,
7,
3,
2,
4,
2,
2,
3,
2,
5,
4,
7,
2,
6,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
2,
2,
2,
4,
3,
2,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
3,
4,
3,
2,
4,
2,
2,
3,
4,
4,
3,
2,
2,
3,
2,
3,
3,
4,
2,
3,
2,
4,
3,
2,
3,
4,
3,
4,
4,
5,
2,
4,
3,
4,
4,
2,
2,
2,
4,
4,
4,
4,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
4,
3,
2,
2,
3,
2,
2,
4,
4,
3,
4,
2,
4,
4,
4,
4,
4,
5,
2,
4,
4,
3,
3,
4,
2,
2,
2,
2,
6,
4,
2,
3,
2,
2,
5,
2,
6,
3,
3,
2,
2,
2,
7,
2,
3,
2,
2,
2,
2,
3,
2,
3,
4,
2,
2,
2,
2,
2,
4,
3,
3,
1,
2,
3,
2,
4,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
5,
5,
4,
2,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
6,
2,
2,
4,
4,
4,
4,
2,
3,
2,
2,
4,
5,
2,
2,
4,
4,
2,
2,
3,
2,
2,
4,
2,
3,
3,
4,
3,
3,
4,
4,
4,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
5,
4,
4,
2,
3,
2,
4,
5,
4,
4,
2,
3,
2,
2,
2,
3,
3,
5,
2,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
5,
3,
2,
2,
5,
1,
2,
3,
3,
3,
2,
4,
3,
4,
4,
2,
4,
2,
4,
5,
2,
2,
3,
3,
2,
2,
1,
2,
2,
2,
2,
2,
7,
4,
3,
2,
2,
4,
2,
4,
4,
4,
3,
3,
3,
4,
3,
3,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
3,
2,
4,
2,
4,
3,
2,
4,
1,
2,
2,
4,
4,
2,
4,
4,
5,
5,
3,
3,
4,
3,
5,
7,
3,
4,
5,
4,
2,
2,
3,
3,
3,
4,
2,
2,
6,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
1,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
1,
1,
1,
2,
2,
3,
2,
5,
2,
4,
2,
4,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
2,
2,
2,
3,
4,
4,
3,
3,
2,
3,
4,
2,
3,
3,
4,
5,
2,
2,
2,
1,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
4,
6,
5,
4,
2,
4,
4,
4,
4,
6,
3,
3,
4,
3,
4,
3,
3,
2,
2,
3,
3,
3,
4,
3,
3,
5,
5,
4,
2,
2,
2,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
1,
4,
2,
6,
3,
3,
4,
4,
4,
4,
4,
4,
2,
6,
4,
5,
5,
2,
5,
5,
5,
4,
4,
4,
4,
5,
4,
4,
4,
2,
5,
5,
5,
3,
3,
2,
3,
4,
6,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
2,
4,
2,
2,
3,
2,
3,
4,
4,
2,
4,
4,
3,
2,
3,
2,
2,
3,
4,
3,
3,
2,
4,
2,
3,
3,
3,
3,
2,
4,
4,
2,
4,
4,
2,
2,
3,
3,
2,
1,
3,
3,
3,
3,
7,
3,
4,
5,
4,
4,
4,
4,
4,
3,
4,
4,
4,
5,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
5,
4,
4,
4,
4,
4,
2,
2,
3,
4,
5,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
4,
4,
2,
3,
4,
2,
2,
4,
3,
5,
4,
4,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
5,
3,
2,
1,
3,
2,
2,
3,
3,
5,
4,
5,
2,
3,
4,
4,
1,
2,
3,
4,
2,
4,
3,
2,
3,
2,
2,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
5,
3,
2,
2,
2,
4,
2,
1,
4,
2,
2,
2,
2,
2,
1,
2,
2,
3,
4,
2,
2,
3,
3,
6,
2,
1,
2,
3,
2,
3,
3,
4,
3,
3,
3,
3,
4,
2,
4,
4,
4,
2,
6,
2,
2,
4,
3,
4,
4,
4,
5,
2,
2,
5,
2,
5,
2,
3,
4,
4,
6,
2,
3,
3,
3,
2,
2,
2,
7,
4,
3,
2,
2,
4,
3,
6,
4,
4,
2,
4,
4,
2,
4,
2,
2,
2,
5,
3,
3,
2,
3,
3,
3,
3,
2,
3,
4,
4,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
3,
3,
3,
3,
2,
5,
6,
1,
4,
2,
5,
5,
3,
3,
4,
2,
3,
4,
4,
3,
5,
4,
2,
4,
2,
2,
5,
4,
3,
4,
4,
4,
4,
4,
1,
4,
5,
4,
4,
3,
2,
5,
2,
4,
4,
5,
3,
4,
4,
4,
4,
4,
6,
4,
2,
2,
2,
3,
3,
7,
4,
5,
2,
3,
3,
3,
2,
2,
3,
3,
4,
4,
2,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
1,
2,
2,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
4,
2,
3,
3,
3,
3,
5,
4,
3,
2,
2,
3,
2,
2,
5,
2,
3,
6,
3,
7,
3,
3,
3,
1,
3,
4,
4,
5,
3,
3,
2,
4,
2,
2,
2,
4,
2,
4,
2,
3,
2,
4,
2,
3,
3,
4,
4,
2,
2,
3,
2,
3,
2,
5,
5,
2,
5,
4,
4,
2,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
2,
8,
2,
4,
4,
4,
3,
6,
5,
4,
4,
2,
3,
2,
3,
3,
4,
4,
6,
3,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
5,
5,
2,
2,
3,
5,
3,
3,
5,
2,
2,
3,
2,
2,
3,
3,
3,
4,
5,
3,
2,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
6,
2,
3,
2,
2,
3,
5,
3,
3,
7,
3,
1,
2,
3,
4,
4,
2,
4,
6,
2,
4,
2,
2,
2,
6,
2,
2,
5,
5,
2,
5,
4,
4,
5,
3,
4,
3,
4,
4,
4,
4,
4,
3,
4,
5,
4,
2,
2,
2,
5,
4,
3,
4,
3,
3,
3,
3,
3,
2,
3,
4,
2,
2,
2,
2,
4,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
5,
3,
3,
4,
4,
2,
2,
2,
3,
4,
4,
3,
3,
3,
2,
4,
2,
4,
2,
4,
4,
4,
3,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
6,
4,
3,
3,
3,
2,
4,
2,
2,
4,
4,
2,
4,
4,
5,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
4,
4,
4,
4,
4,
2,
4,
3,
4,
4,
3,
4,
3,
2,
2,
2,
2,
1,
5,
2,
2,
3,
2,
3,
2,
5,
5,
4,
4,
4,
3,
4,
3,
2,
3,
3,
2,
3,
3,
3,
4,
3,
5,
4,
4,
4,
2,
2,
2,
2,
4,
4,
2,
2,
4,
4,
4,
4,
5,
5,
2,
4,
2,
3,
3,
3,
3,
3,
4,
1,
3,
2,
2,
4,
3,
4,
3,
2,
3,
4,
2,
3,
1,
1,
2,
3,
3,
4,
2,
4,
2,
5,
3,
1,
3,
3,
1,
3,
2,
3,
5,
2,
4,
4,
3,
4,
2,
1,
2,
3,
4,
3,
2,
2,
5,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
5,
2,
4,
4,
4,
4,
4,
2,
1,
3,
4,
2,
2,
4,
4,
4,
3,
4,
4,
4,
3,
2,
2,
2,
3,
3,
4,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
5,
4,
4,
2,
2,
2,
2,
2,
7,
4,
5,
3,
4,
4,
1,
4,
2,
2,
5,
4,
3,
4,
3,
3,
3,
3,
4,
2,
1,
2,
3,
2,
4,
2,
2,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
4,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
4,
4,
2,
3,
3,
3,
3,
2,
4,
4,
2,
5,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
3,
4,
4,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
3,
2,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
4,
6,
4,
2,
2,
2,
3,
3,
3,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
5,
3,
4,
6,
6,
4,
4,
4,
6,
3,
8,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
5,
4,
5,
2,
3,
3,
3,
3,
2,
2,
2,
5,
3,
3,
4,
5,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
4,
2,
3,
4,
4,
2,
2,
2,
4,
4,
3,
4,
6,
3,
5,
4,
2,
4,
3,
2,
3,
6,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
3,
2,
1,
2,
5,
2,
4,
4,
3,
2,
5,
3,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
1,
3,
3,
4,
5,
2,
3,
3,
3,
2,
3,
2,
4,
2,
3,
4,
4,
4,
4,
3,
5,
5,
3,
4,
6,
4,
2,
2,
4,
1,
2,
2,
2,
4,
1,
2,
6,
6,
5,
4,
2,
2,
3,
3,
2,
5,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
2,
6,
4,
4,
3,
5,
4,
4,
7,
4,
3,
5,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
7,
4,
2,
1,
2,
2,
6,
3,
3,
7,
3,
1,
2,
1,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
5,
3,
4,
6,
4,
4,
3,
4,
5,
2,
2,
2,
2,
3,
4,
1,
1,
2,
4,
3,
4,
4,
3,
4,
4,
3,
3,
5,
4,
3,
1,
3,
2,
3,
2,
3,
4,
4,
4,
4,
2,
3,
4,
3,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
4,
4,
5,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
2,
3,
3,
3,
4,
3,
3,
2,
3,
3,
2,
2,
2,
5,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
3,
2,
4,
2,
3,
2,
2,
4,
3,
3,
2,
2,
4,
3,
3,
3,
2,
4,
2,
3,
3,
3,
3,
3,
4,
5,
3,
4,
3,
5,
3,
6,
3,
2,
4,
3,
4,
2,
2,
5,
4,
3,
3,
4,
2,
3,
3,
3,
2,
2,
2,
4,
5,
2,
2,
4,
7,
4,
4,
2,
1,
3,
4,
4,
1,
2,
3,
3,
2,
2,
3,
2,
3,
2,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
4,
4,
4,
3,
3,
5,
5,
6,
4,
4,
3,
2,
3,
4,
2,
5,
2,
4,
2,
4,
4,
4,
2,
2,
2,
5,
4,
3,
2,
3,
2,
2,
3,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
2,
2,
3,
2,
2,
4,
4,
3,
3,
3,
2,
4,
2,
2,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
3,
2,
2,
2,
4,
4,
6,
3,
3,
3,
3,
4,
2,
5,
2,
3,
3,
5,
3,
3,
4,
3,
3,
4,
3,
4,
1,
2,
2,
2,
1,
1,
2,
1,
1,
1,
1,
1,
1,
2,
2,
2,
4,
2,
1,
1,
3,
1,
4,
2,
3,
2,
3,
2,
4,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
4,
4,
4,
2,
4,
2,
2,
4,
6,
6,
3,
4,
5,
2,
3,
4,
6,
2,
2,
3,
4,
2,
2,
2,
2,
3,
2,
2,
4,
3,
2,
4,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
4,
3,
3,
1,
3,
3,
3,
3,
3,
3,
2,
3,
2,
1,
1,
2,
2,
1,
1,
2,
2,
2,
4,
6,
2,
3,
2,
2,
2,
2,
6,
2,
2,
2,
2,
2,
2,
2,
3,
2,
1,
3,
4,
2,
4,
2,
5,
3,
3,
1,
4,
4,
3,
3,
2,
2,
5,
4,
2,
2,
3,
2,
4,
2,
3,
4,
2,
2,
3,
4,
4,
4,
2,
4,
4,
5,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
4,
4,
4,
2,
5,
2,
4,
2,
2,
1,
4,
4,
5,
7,
4,
2,
2,
2,
2,
3,
2,
1,
3,
3,
2,
2,
2,
3,
2,
4,
3,
3,
3,
4,
2,
4,
3,
3,
2,
2,
3,
5,
2,
2,
2,
5,
5,
7,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
2,
3,
3,
4,
2,
2,
4,
4,
4,
7,
5,
4,
4,
2,
4,
5,
5,
4,
4,
6,
3,
3,
2,
5,
6,
2,
3,
4,
4,
5,
4,
3,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
5,
4,
2,
2,
5,
3,
2,
3,
4,
3,
2,
3,
4,
3,
4,
3,
3,
4,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
4,
3,
4,
5,
3,
2,
3,
3,
4,
5,
6,
5,
3,
3,
4,
2,
4,
3,
1,
2,
3,
3,
3,
2,
2,
2,
3,
3,
3,
4,
2,
4,
4,
2,
4,
4,
1,
3,
4,
2,
3,
1,
3,
2,
3,
4,
5,
2,
2,
3,
5,
3,
4,
2,
4,
5,
5,
5,
5,
5,
5,
2,
3,
2,
4,
4,
2,
4,
3,
2,
3,
3,
2,
6,
3,
3,
3,
3,
2,
2,
4,
2,
3,
6,
4,
6,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
5,
2,
1,
2,
2,
2,
2,
3,
4,
3,
3,
3,
3,
3,
6,
4,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
2,
3,
5,
3,
2,
2,
2,
3,
3,
2,
2,
2,
3,
4,
6,
4,
3,
4,
3,
5,
3,
3,
2,
3,
5,
4,
3,
2,
2,
3,
4,
2,
3,
2,
2,
2,
1,
3,
4,
3,
4,
3,
3,
2,
3,
3,
4,
2,
3,
3,
3,
5,
3,
2,
2,
3,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
2,
3,
6,
7,
2,
2,
2,
4,
4,
2,
2,
3,
4,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
4,
3,
2,
2,
2,
4,
3,
4,
4,
2,
6,
3,
5,
4,
4,
4,
3,
5,
4,
4,
3,
2,
6,
3,
3,
2,
3,
2,
3,
5,
4,
2,
5,
5,
5,
3,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
4,
4,
4,
3,
4,
4,
2,
4,
4,
3,
4,
4,
2,
2,
2,
2,
3,
5,
2,
2,
2,
2,
4,
4,
5,
3,
3,
3,
3,
2,
3,
4,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
4,
4,
5,
5,
4,
3,
3,
3,
5,
5,
3,
3,
3,
3,
5,
3,
2,
3,
3,
3,
4,
2,
2,
6,
4,
4,
2,
2,
3,
3,
3,
2,
2,
4,
2,
4,
4,
4,
4,
4,
3,
1,
4,
5,
6,
4,
2,
5,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
4,
2,
3,
2,
4,
5,
3,
4,
5,
1,
4,
2,
2,
3,
3,
2,
2,
6,
3,
5,
3,
3,
3,
4,
4,
2,
2,
2,
3,
4,
3,
2,
1,
4,
2,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
4,
2,
4,
3,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
2,
7,
3,
3,
3,
2,
4,
4,
4,
3,
0,
2,
2,
4,
3,
4,
2,
5,
5,
3,
4,
3,
2,
5,
2,
4,
4,
3,
2,
3,
3,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
2,
4,
4,
4,
2,
2,
4,
4,
3,
3,
3,
3,
2,
6,
4,
3,
4,
2,
2,
5,
4,
7,
5,
2,
3,
4,
4,
4,
4,
2,
2,
4,
2,
4,
2,
3,
4,
3,
6,
5,
5,
3,
2,
6,
6,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
2,
3,
3,
4,
3,
2,
2,
4,
2,
2,
2,
5,
2,
3,
8,
4,
2,
2,
3,
4,
4,
7,
4,
5,
3,
3,
3,
4,
2,
3,
2,
4,
2,
3,
2,
4,
4,
4,
2,
4,
3,
2,
4,
4,
4,
6,
2,
4,
2,
2,
3,
5,
3,
2,
3,
2,
3,
2,
3,
4,
2,
1,
1,
4,
4,
3,
3,
3,
3,
4,
3,
3,
4,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
3,
3,
2,
2,
3,
4,
5,
3,
2,
3,
4,
4,
3,
2,
2,
2,
3,
2,
4,
2,
5,
2,
2,
4,
4,
2,
4,
4,
4,
2,
5,
2,
3,
4,
2,
6,
4,
2,
3,
5,
2,
3,
4,
4,
3,
4,
3,
4,
2,
4,
4,
6,
2,
4,
4,
4,
4,
4,
2,
6,
1,
4,
6,
4,
6,
6,
4,
6,
5,
5,
5,
3,
3,
3,
3,
2,
3,
3,
2,
3,
2,
2,
2,
2,
2,
4,
5,
4,
2,
3,
5,
4,
3,
4,
2,
2,
3,
4,
3,
4,
2,
2,
3,
2,
4,
3,
4,
3,
5,
3,
2,
2,
3,
4,
4,
4,
4,
8,
2,
2,
2,
2,
4,
5,
2,
2,
5,
2,
2,
5,
3,
4,
3,
3,
4,
2,
4,
5,
5,
2,
4,
5,
3,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
6,
2,
4,
3,
2,
2,
3,
3,
3,
2,
3,
2,
3,
3,
2,
3,
3,
2,
3,
3,
1,
4,
2,
4,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
1,
5,
3,
3,
3,
4,
4,
3,
3,
4,
4,
4,
2,
2,
2,
2,
4,
2,
4,
3,
4,
3,
2,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
5,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
5,
2,
3,
2,
3,
3,
4,
2,
4,
4,
4,
4,
2,
5,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
7,
4,
2,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
3,
4,
4,
2,
3,
3,
6,
2,
2,
4,
2,
3,
2,
4,
2,
3,
3,
3,
2,
2,
3,
3,
2,
2,
4,
3,
4,
2,
3,
3,
4,
2,
4,
3,
3,
4,
2,
3,
3,
3,
3,
3,
2,
3,
2,
7,
3,
6,
4,
2,
5,
5,
2,
3,
4,
3,
5,
6,
7,
2,
4,
4,
2,
3,
3,
4,
4,
2,
4,
4,
3,
3,
4,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
1,
2,
4,
2,
2,
4,
3,
3,
2,
2,
3,
5,
5,
2,
3,
3,
2,
2,
2,
2,
2,
3,
6,
3,
2,
2,
3,
3,
3,
2,
5,
2,
2,
6,
5,
3,
2,
3,
4,
4,
3,
3,
4,
7,
1,
3,
2,
5,
3,
4,
2,
4,
2,
4,
2,
2,
2,
6,
4,
4,
4,
2,
2,
2,
3,
4,
4,
4,
6,
4,
4,
4,
2,
5,
3,
2,
3,
3,
2,
3,
2,
2,
1,
3,
3,
5,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
7,
3,
3,
2,
3,
5,
4,
3,
4,
3,
3,
5,
2,
3,
4,
2,
4,
4,
2,
4,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
6,
2,
4,
4,
5,
4,
3,
4,
7,
2,
3,
3,
4,
3,
3,
4,
2,
4,
1,
3,
2,
2,
2,
3,
3,
1,
2,
2,
4,
4,
4,
3,
3,
2,
3,
3,
3,
2,
3,
4,
3,
4,
4,
4,
2,
2,
2,
3,
2,
4,
3,
4,
4,
2,
2,
3,
4,
3,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
4,
3,
2,
4,
3,
2,
2,
4,
3,
3,
2,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
3,
2,
6,
3,
3,
2,
2,
2,
4,
2,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
2,
4,
4,
2,
2,
4,
4,
3,
4,
3,
1,
2,
2,
3,
4,
4,
2,
3,
2,
3,
2,
2,
3,
2,
3,
3,
2,
2,
2,
4,
2,
3,
2,
2,
5,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
4,
4,
5,
2,
2,
2,
2,
2,
2,
3,
2,
2,
5,
2,
4,
2,
2,
4,
3,
3,
2,
5,
5,
4,
4,
5,
5,
4,
3,
2,
2,
2,
1,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
4,
3,
4,
5,
4,
4,
4,
4,
2,
2,
7,
3,
3,
2,
4,
4,
2,
2,
2,
2,
3,
4,
4,
2,
2,
4,
3,
3,
3,
2,
3,
2,
4,
3,
4,
3,
2,
3,
3,
2,
3,
2,
2,
2,
2,
2,
4,
2,
4,
5,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
3,
4,
3,
2,
4,
3,
2,
6,
6,
4,
4,
4,
3,
2,
4,
4,
4,
3,
3,
3,
2,
3,
2,
4,
2,
2,
3,
1,
3,
2,
3,
2,
3,
2,
1,
3,
4,
2,
4,
2,
3,
2,
3,
4,
3,
4,
4,
3,
3,
3,
7,
2,
4,
4,
2,
4,
4,
4,
4,
4,
5,
3,
4,
3,
3,
3,
4,
3,
3,
2,
2,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
4,
3,
3,
2,
2,
4,
2,
4,
3,
2,
4,
3,
3,
4,
4,
2,
1,
2,
5,
6,
4,
4,
4,
3,
3,
3,
5,
2,
2,
2,
5,
3,
4,
2,
4,
2,
2,
3,
2,
2,
2,
2,
4,
3,
4,
3,
6,
4,
5,
3,
3,
2,
2,
2,
3,
2,
4,
6,
2,
5,
5,
4,
2,
2,
2,
2,
2,
3,
2,
2,
4,
4,
3,
2,
4,
4,
5,
6,
6,
2,
4,
2,
3,
2,
3,
4,
2,
2,
2,
2,
4,
2,
4,
7,
4,
3,
2,
3,
4,
3,
4,
3,
2,
5,
4,
3,
2,
2,
2,
3,
3,
3,
3,
4,
2,
3,
3,
4,
3,
4,
4,
6,
4,
3,
4,
4,
3,
3,
4,
3,
5,
2,
2,
2,
0,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
3,
3,
5,
4,
4,
3,
2,
4,
4,
3,
4,
3,
3,
5,
4,
4,
4,
4,
3,
2,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
2,
4,
2,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
3,
2,
1,
3,
3,
1,
3,
2,
5,
4,
4,
5,
5,
3,
3,
3,
2,
2,
4,
4,
4,
4,
3,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
4,
5,
6,
5,
3,
5,
8,
4,
2,
3,
3,
4,
4,
5,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
3,
1,
4,
4,
3,
1,
1,
2,
4,
3,
2,
3,
2,
2,
3,
2,
2,
4,
2,
2,
3,
4,
4,
4,
4,
6,
3,
4,
4,
2,
1,
2,
2,
5,
2,
2,
4,
3,
2,
3,
2,
6,
3,
6,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
9,
4,
5,
3,
5,
2,
4,
4,
4,
4,
4,
4,
2,
5,
2,
2,
3,
3,
3,
2,
3,
2,
3,
4,
3,
3,
2,
2,
4,
3,
5,
3,
4,
4,
4,
4,
1,
2,
2,
2,
2,
2,
3,
5,
3,
6,
3,
8,
7,
4,
4,
2,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
4,
4,
3,
5,
4,
5,
2,
2,
4,
5,
5,
5,
2,
2,
2,
3,
4,
2,
2,
5,
4,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
4,
3,
2,
3,
2,
4,
4,
2,
2,
4,
2,
2,
2,
5,
4,
4,
4,
4,
4,
3,
4,
3,
3,
2,
3,
2,
4,
3,
3,
1,
4,
3,
3,
3,
4,
2,
2,
2,
4,
2,
3,
3,
2,
3,
5,
5,
3,
2,
3,
3,
2,
3,
2,
3,
6,
7,
4,
3,
4,
1,
2,
4,
2,
3,
3,
3,
3,
3,
2,
3,
6,
3,
4,
4,
6,
3,
2,
2,
2,
2,
3,
2,
3,
4,
5,
4,
4,
6,
4,
6,
2,
3,
2,
2,
5,
4,
4,
3,
4,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
7,
2,
3,
5,
3,
2,
3,
3,
3,
3,
4,
4,
4,
2,
2,
3,
3,
3,
6,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
2,
2,
2,
1,
2,
4,
5,
3,
4,
3,
5,
3,
3,
4,
4,
4,
4,
3,
2,
2,
1,
4,
4,
4,
4,
3,
4,
2,
2,
3,
4,
4,
2,
2,
3,
4,
4,
3,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
3,
2,
4,
4,
4,
3,
3,
1,
3,
2,
2,
1,
1,
3,
2,
2,
4,
2,
4,
4,
3,
3,
3,
3,
2,
2,
4,
4,
5,
2,
4,
4,
6,
3,
4,
2,
4,
4,
2,
3,
3,
3,
2,
3,
3,
3,
2,
3,
5,
6,
4,
2,
2,
2,
2,
4,
1,
1,
1,
4,
4,
2,
3,
3,
2,
5,
2,
3,
3,
2,
3,
2,
2,
4,
4,
5,
5,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
3,
4,
4,
3,
2,
4,
4,
2,
4,
3,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
2,
2,
2,
4,
2,
3,
3,
4,
4,
4,
3,
2,
2,
2,
4,
2,
3,
3,
6,
2,
2,
2,
2,
4,
4,
4,
8,
4,
4,
3,
2,
3,
3,
3,
4,
2,
2,
2,
2,
3,
4,
3,
4,
2,
2,
3,
3,
3,
3,
6,
4,
1,
2,
4,
3,
3,
2,
3,
3,
3,
3,
3,
4,
4,
2,
6,
3,
5,
4,
2,
2,
4,
2,
4,
2,
3,
2,
2,
5,
2,
2,
5,
4,
3,
2,
2,
3,
4,
2,
4,
10,
3,
3,
3,
3,
5,
3,
3,
3,
3,
2,
4,
4,
2,
3,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
3,
4,
4,
4,
2,
4,
2,
4,
4,
3,
3,
3,
3,
3,
2,
2,
6,
2,
2,
2,
2,
3,
3,
4,
2,
4,
3,
3,
3,
3,
4,
4,
4,
3,
4,
3,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
6,
4,
2,
2,
1,
3,
2,
2,
2,
4,
4,
2,
2,
2,
3,
3,
4,
3,
5,
4,
4,
4,
5,
4,
4,
2,
5,
6,
5,
7,
4,
4,
6,
4,
2,
2,
2,
3,
4,
5,
2,
3,
2,
3,
4,
3,
3,
4,
4,
7,
2,
3,
2,
4,
4,
3,
5,
2,
2,
3,
2,
2,
3,
3,
3,
3,
2,
2,
2,
4,
3,
2,
4,
2,
2,
1,
4,
2,
7,
2,
3,
8,
3,
2,
5,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
4,
5,
3,
4,
2,
4,
2,
2,
2,
4,
3,
2,
2,
2,
4,
4,
6,
3,
4,
5,
4,
4,
2,
3,
4,
2,
4,
2,
2,
4,
4,
2,
3,
3,
5,
2,
4,
3,
3,
4,
4,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
5,
4,
4,
5,
5,
4,
2,
3,
4,
4,
3,
2,
3,
4,
4,
3,
4,
4,
3,
4,
3,
4,
2,
2,
2,
4,
2,
3,
4,
2,
5,
4,
3,
2,
5,
3,
4,
3,
2,
3,
4,
3,
4,
2,
2,
3,
3,
3,
2,
3,
3,
6,
2,
4,
3,
1,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
3,
2,
2,
2,
3,
7,
6,
2,
3,
2,
2,
2,
4,
4,
3,
4,
2,
3,
3,
3,
4,
3,
2,
4,
3,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
5,
4,
2,
2,
3,
2,
3,
5,
2,
3,
3,
3,
4,
2,
4,
2,
2,
4,
3,
2,
2,
1,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
4,
4,
2,
8,
4,
2,
2,
3,
3,
4,
2,
2,
3,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
2,
3,
4,
2,
3,
2,
6,
4,
4,
4,
4,
2,
2,
4,
4,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
2,
3,
3,
2,
4,
4,
2,
2,
4,
4,
3,
4,
2,
3,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
3,
3,
3,
2,
1,
3,
4,
4,
4,
3,
4,
4,
4,
3,
4,
3,
3,
3,
2,
5,
5,
2,
4,
2,
2,
2,
2,
2,
3,
3,
2,
4,
3,
2,
6,
5,
2,
2,
2,
2,
2,
3,
4,
4,
2,
3,
1,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
2,
3,
3,
2,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
6,
5,
2,
5,
2,
3,
3,
4,
4,
3,
4,
3,
2,
3,
4,
4,
4,
3,
2,
2,
1,
2,
2,
4,
4,
3,
3,
4,
4,
6,
2,
3,
3,
3,
2,
1,
3,
2,
4,
3,
3,
9,
4,
3,
2,
3,
4,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
4,
2,
3,
4,
4,
2,
3,
4,
2,
3,
3,
3,
2,
3,
2,
3,
4,
4,
5,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
5,
3,
4,
2,
3,
4,
1,
4,
2,
2,
4,
4,
4,
2,
2,
2,
5,
2,
5,
4,
3,
2,
4,
3,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
2,
3,
3,
4,
2,
2,
2,
3,
3,
3,
2,
3,
2,
3,
3,
2,
3,
4,
1,
4,
4,
4,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
5,
3,
4,
4,
4,
4,
4,
2,
4,
3,
4,
2,
2,
1,
2,
2,
2,
4,
3,
5,
5,
4,
4,
4,
4,
2,
3,
2,
2,
4,
2,
2,
3,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
2,
3,
2,
3,
3,
4,
3,
3,
4,
4,
4,
2,
3,
4,
3,
2,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
4,
3,
3,
3,
3,
5,
4,
2,
4,
1,
2,
2,
4,
4,
3,
3,
3,
3,
4,
4,
2,
4,
4,
4,
3,
4,
4,
8,
3,
2,
4,
2,
7,
6,
4,
6,
3,
2,
2,
3,
3,
4,
4,
2,
2,
3,
5,
4,
5,
7,
3,
6,
6,
3,
4,
3,
4,
2,
3,
6,
3,
2,
2,
3,
5,
1,
3,
2,
2,
4,
3,
2,
3,
3,
4,
3,
4,
2,
3,
4,
5,
3,
3,
3,
2,
4,
4,
4,
2,
4,
2,
3,
2,
2,
4,
2,
2,
3,
3,
4,
4,
3,
3,
2,
2,
2,
4,
2,
4,
3,
2,
5,
5,
5,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
2,
4,
4,
6,
2,
2,
2,
3,
2,
3,
3,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
2,
6,
6,
2,
2,
4,
3,
4,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
3,
2,
1,
3,
2,
2,
3,
4,
4,
4,
4,
2,
5,
2,
4,
4,
2,
5,
2,
2,
2,
6,
5,
4,
3,
3,
5,
2,
2,
3,
5,
3,
3,
3,
4,
4,
5,
5,
5,
2,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
4,
3,
2,
4,
4,
3,
5,
4,
3,
3,
2,
2,
2,
3,
2,
6,
5,
3,
2,
2,
6,
2,
2,
3,
4,
3,
4,
4,
2,
2,
5,
3,
2,
2,
2,
3,
3,
2,
2,
4,
2,
3,
2,
4,
3,
2,
2,
4,
2,
4,
2,
2,
2,
4,
2,
2,
4,
2,
3,
3,
3,
6,
4,
2,
2,
2,
4,
2,
3,
3,
4,
3,
3,
4,
2,
2,
1,
2,
3,
4,
2,
2,
2,
2,
4,
2,
1,
4,
2,
4,
4,
3,
4,
4,
3,
3,
2,
2,
2,
5,
4,
2,
3,
2,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
4,
2,
2,
4,
2,
5,
3,
4,
2,
6,
4,
4,
3,
3,
2,
4,
4,
4,
4,
1,
2,
2,
2,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
5,
5,
4,
4,
6,
3,
4,
2,
2,
4,
2,
2,
2,
5,
3,
5,
2,
2,
2,
5,
3,
4,
3,
2,
2,
2,
5,
4,
4,
3,
3,
5,
3,
3,
3,
5,
3,
2,
5,
2,
2,
3,
4,
2,
4,
4,
5,
4,
2,
2,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
3,
3,
5,
3,
4,
4,
2,
3,
4,
3,
5,
2,
4,
4,
3,
4,
4,
4,
3,
3,
4,
4,
3,
3,
3,
1,
1,
1,
3,
3,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
5,
5,
2,
4,
4,
4,
4,
4,
3,
2,
4,
6,
2,
4,
3,
3,
2,
3,
3,
4,
2,
4,
3,
2,
2,
2,
2,
2,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
2,
4,
3,
3,
6,
6,
3,
2,
2,
2,
1,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
5,
4,
3,
2,
3,
3,
4,
3,
2,
3,
2,
2,
4,
5,
5,
5,
5,
4,
4,
3,
5,
2,
2,
2,
2,
4,
2,
2,
5,
3,
3,
3,
2,
5,
5,
2,
4,
5,
5,
3,
2,
3,
3,
3,
2,
1,
3,
3,
3,
5,
2,
2,
2,
2,
2,
7,
4,
2,
1,
3,
2,
3,
2,
2,
3,
2,
2,
2,
3,
5,
3,
3,
2,
3,
2,
2,
4,
6,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
6,
2,
4,
2,
2,
4,
2,
2,
2,
4,
2,
3,
2,
4,
2,
3,
2,
4,
3,
4,
4,
8,
4,
5,
2,
4,
2,
8,
4,
2,
4,
2,
2,
3,
4,
3,
2,
4,
2,
3,
2,
2,
2,
9,
4,
2,
3,
3,
3,
3,
6,
2,
5,
4,
2,
4,
2,
5,
3,
4,
1,
2,
1,
4,
4,
4,
4,
3,
3,
2,
4,
4,
4,
3,
4,
3,
2,
3,
3,
5,
3,
4,
3,
5,
6,
5,
6,
5,
4,
4,
2,
2,
2,
2,
2,
4,
4,
2,
2,
5,
5,
4,
4,
2,
4,
4,
4,
2,
2,
4,
4,
3,
2,
3,
2,
4,
6,
2,
2,
3,
3,
4,
3,
2,
2,
2,
2,
2,
4,
4,
2,
3,
3,
3,
2,
2,
3,
2,
3,
4,
2,
2,
4,
4,
2,
4,
2,
6,
3,
3,
4,
4,
3,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
1,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
8,
2,
4,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
4,
2,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
2,
3,
3,
4,
3,
3,
3,
3,
2,
2,
4,
3,
6,
7,
6,
2,
3,
3,
3,
2,
4,
4,
4,
4,
2,
3,
4,
4,
4,
3,
3,
3,
3,
3,
4,
2,
5,
6,
4,
6,
3,
3,
8,
3,
3,
3,
3,
7,
2,
4,
4,
4,
3,
4,
4,
3,
5,
3,
2,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
4,
4,
6,
3,
3,
3,
6,
3,
3,
3,
3,
3,
1,
2,
5,
5,
4,
2,
3,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
6,
1,
4,
3,
3,
5,
5,
5,
6,
3,
3,
4,
5,
3,
4,
3,
4,
3,
4,
3,
4,
3,
1,
2,
2,
2,
5,
2,
7,
4,
2,
3,
2,
3,
6,
2,
3,
3,
2,
2,
4,
4,
3,
4,
3,
3,
5,
5,
3,
3,
3,
4,
2,
2,
4,
2,
2,
2,
2,
4,
2,
2,
3,
4,
4,
2,
4,
4,
4,
2,
3,
3,
4,
7,
2,
3,
2,
4,
3,
2,
3,
4,
3,
4,
4,
4,
4,
5,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
3,
3,
3,
5,
2,
3,
4,
5,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
3,
4,
4,
4,
4,
4,
5,
3,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
7,
2,
2,
2,
2,
7,
7,
4,
3,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
4,
5,
3,
2,
4,
4,
4,
2,
3,
2,
2,
3,
4,
4,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
5,
3,
4,
4,
4,
2,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
4,
4,
4,
2,
4,
4,
3,
2,
6,
2,
3,
2,
2,
2,
1,
2,
3,
4,
2,
3,
2,
3,
4,
4,
4,
3,
2,
4,
2,
3,
6,
4,
3,
3,
2,
2,
4,
4,
5,
4,
6,
4,
3,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
5,
2,
5,
5,
5,
2,
4,
3,
3,
3,
2,
3,
4,
4,
4,
4,
2,
2,
4,
2,
5,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
5,
3,
4,
3,
4,
2,
1,
1,
1,
2,
1,
4,
2,
4,
2,
4,
4,
4,
3,
3,
2,
2,
7,
2,
4,
7,
4,
4,
5,
2,
8,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
1,
2,
4,
3,
4,
3,
4,
3,
3,
4,
3,
2,
3,
2,
3,
3,
4,
4,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
2,
3,
4,
2,
5,
4,
3,
4,
3,
2,
3,
3,
4,
4,
2,
4,
5,
2,
4,
3,
2,
2,
2,
3,
4,
3,
2,
2,
4,
3,
3,
2,
3,
5,
5,
4,
3,
3,
4,
4,
3,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
2,
3,
3,
4,
3,
5,
3,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
5,
2,
4,
2,
2,
4,
3,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
5,
2,
3,
2,
4,
4,
2,
3,
3,
4,
3,
3,
5,
4,
3,
3,
2,
3,
3,
3,
3,
2,
3,
3,
1,
5,
2,
4,
4,
2,
2,
4,
3,
4,
3,
2,
2,
2,
5,
5,
3,
4,
2,
2,
4,
2,
3,
7,
6,
8,
3,
4,
2,
3,
3,
4,
3,
4,
2,
1,
4,
6,
2,
4,
2,
2,
2,
4,
3,
4,
2,
2,
2,
4,
3,
2,
2,
4,
4,
4,
4,
3,
3,
4,
2,
4,
6,
6,
4,
2,
4,
3,
3,
3,
2,
3,
3,
3,
2,
4,
4,
2,
3,
2,
2,
2,
5,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
3,
4,
3,
3,
2,
4,
7,
4,
2,
4,
3,
2,
2,
3,
3,
3,
2,
3,
3,
3,
2,
3,
2,
3,
2,
3,
2,
2,
2,
6,
3,
2,
2,
3,
2,
4,
1,
2,
2,
2,
3,
4,
5,
5,
5,
3,
2,
4,
3,
3,
3,
4,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
5,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
5,
6,
5,
4,
2,
2,
2,
3,
5,
4,
4,
2,
2,
6,
4,
4,
4,
4,
4,
5,
2,
1,
2,
3,
3,
2,
3,
6,
4,
5,
6,
6,
4,
4,
5,
3,
3,
1,
2,
1,
1,
2,
3,
3,
4,
5,
2,
4,
4,
4,
5,
2,
4,
3,
3,
3,
2,
3,
3,
1,
3,
4,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
3,
3,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
3,
4,
2,
3,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
7,
4,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
1,
2,
2,
1,
3,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
3,
3,
5,
5,
4,
3,
2,
3,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
5,
4,
4,
4,
3,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
4,
3,
2,
3,
2,
3,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
5,
4,
3,
2,
2,
2,
5,
3,
2,
5,
4,
3,
3,
3,
3,
4,
3,
4,
4,
4,
3,
2,
2,
2,
2,
2,
5,
2,
5,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
6,
4,
5,
4,
4,
2,
2,
2,
5,
2,
2,
2,
2,
4,
4,
1,
3,
4,
3,
4,
4,
4,
4,
4,
3,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
4,
5,
3,
2,
3,
3,
4,
2,
2,
2,
2,
3,
1,
4,
4,
3,
3,
6,
3,
2,
2,
4,
4,
1,
4,
2,
2,
3,
3,
4,
3,
4,
4,
4,
4,
5,
4,
2,
2,
4,
6,
3,
2,
1,
2,
2,
3,
4,
4,
4,
4,
4,
2,
3,
3,
4,
5,
3,
3,
3,
5,
2,
4,
2,
2,
4,
4,
2,
2,
4,
2,
4,
4,
2,
4,
3,
2,
5,
3,
3,
4,
2,
1,
3,
3,
4,
4,
4,
4,
3,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
7,
5,
7,
5,
5,
4,
2,
3,
6,
3,
3,
3,
3,
3,
1,
3,
3,
4,
4,
5,
3,
3,
4,
4,
3,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
2,
3,
3,
2,
8,
6,
2,
2,
2,
5,
1,
4,
3,
2,
3,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
4,
4,
3,
5,
2,
2,
2,
2,
2,
4,
4,
4,
1,
3,
7,
3,
3,
2,
3,
2,
2,
3,
2,
2,
1,
2,
5,
4,
4,
4,
5,
4,
2,
4,
4,
4,
4,
4,
3,
5,
2,
4,
2,
3,
2,
2,
2,
4,
4,
3,
4,
5,
4,
2,
2,
2,
2,
2,
3,
2,
4,
3,
4,
5,
3,
3,
4,
3,
2,
2,
4,
4,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
2,
3,
5,
3,
5,
3,
2,
2,
2,
3,
3,
3,
3,
2,
6,
2,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
5,
2,
2,
2,
2,
4,
2,
2,
5,
4,
4,
4,
2,
2,
3,
2,
2,
3,
4,
5,
4,
5,
3,
3,
3,
4,
3,
4,
4,
2,
4,
2,
3,
2,
2,
3,
3,
5,
3,
3,
2,
3,
2,
3,
3,
4,
3,
2,
4,
7,
4,
6,
3,
4,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
5,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
5,
4,
2,
4,
4,
4,
2,
2,
2,
4,
4,
5,
4,
3,
2,
2,
4,
5,
2,
4,
2,
3,
3,
2,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
4,
3,
2,
4,
2,
3,
5,
4,
2,
2,
2,
3,
1,
6,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
5,
2,
3,
3,
4,
3,
3,
2,
3,
2,
3,
3,
2,
3,
1,
3,
2,
3,
3,
2,
2,
7,
2,
2,
3,
4,
3,
3,
2,
4,
1,
1,
2,
3,
4,
3,
2,
2,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
2,
3,
4,
2,
3,
2,
3,
2,
3,
4,
4,
5,
4,
3,
4,
2,
3,
5,
2,
3,
2,
2,
2,
4,
4,
2,
2,
7,
5,
3,
3,
2,
4,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
3,
4,
3,
4,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
5,
4,
4,
5,
3,
4,
5,
4,
4,
2,
4,
4,
2,
1,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
7,
3,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
4,
3,
3,
3,
3,
4,
4,
3,
4,
2,
2,
2,
2,
5,
2,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
2,
3,
4,
5,
4,
4,
4,
6,
6,
4,
5,
5,
4,
2,
3,
3,
2,
3,
2,
4,
3,
3,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
4,
4,
6,
3,
3,
4,
4,
4,
5,
5,
2,
1,
1,
3,
3,
3,
3,
3,
2,
2,
5,
3,
4,
3,
4,
5,
5,
2,
4,
6,
6,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
5,
3,
2,
4,
2,
2,
3,
2,
4,
1,
1,
1,
1,
3,
4,
3,
2,
2,
3,
3,
5,
1,
2,
2,
2,
3,
4,
4,
2,
4,
6,
4,
2,
3,
4,
3,
3,
3,
2,
7,
3,
4,
2,
4,
3,
2,
3,
2,
4,
2,
3,
3,
4,
2,
4,
4,
4,
2,
5,
4,
4,
3,
3,
4,
6,
3,
5,
5,
4,
2,
2,
5,
2,
3,
2,
3,
4,
4,
4,
3,
3,
6,
6,
3,
3,
4,
4,
2,
2,
4,
2,
4,
2,
2,
3,
5,
2,
4,
4,
2,
4,
2,
3,
5,
1,
4,
3,
2,
2,
3,
2,
5,
2,
2,
2,
4,
3,
2,
2,
2,
4,
4,
2,
2,
3,
2,
4,
4,
4,
4,
3,
3,
4,
4,
4,
2,
4,
4,
0,
4,
4,
2,
4,
5,
4,
2,
2,
4,
4,
3,
4,
3,
3,
3,
2,
5,
2,
4,
4,
2,
2,
4,
6,
2,
4,
6,
2,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
3,
2,
2,
2,
3,
4,
4,
2,
4,
4,
5,
5,
5,
2,
2,
4,
4,
2,
2,
4,
2,
4,
3,
4,
4,
4,
2,
3,
4,
3,
4,
3,
3,
2,
2,
4,
4,
4,
4,
2,
4,
1,
2,
3,
7,
4,
4,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
3,
3,
3,
6,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
4,
3,
4,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
5,
2,
2,
3,
6,
5,
2,
8,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
1,
4,
7,
4,
4,
3,
3,
5,
4,
3,
6,
2,
4,
4,
2,
2,
3,
3,
5,
4,
4,
3,
4,
3,
4,
3,
3,
3,
4,
3,
4,
3,
4,
2,
2,
3,
4,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
2,
3,
2,
4,
5,
4,
4,
2,
3,
4,
2,
2,
2,
3,
4,
2,
4,
3,
2,
2,
2,
2,
4,
4,
2,
3,
3,
7,
4,
1,
3,
2,
2,
2,
5,
4,
4,
4,
3,
4,
3,
4,
4,
2,
3,
2,
2,
5,
4,
4,
2,
3,
3,
3,
4,
3,
2,
3,
3,
3,
3,
4,
5,
4,
3,
3,
3,
4,
1,
2,
3,
3,
2,
2,
2,
2,
2,
4,
5,
6,
4,
3,
3,
4,
3,
3,
4,
2,
4,
4,
2,
4,
2,
4,
4,
4,
2,
2,
2,
5,
4,
3,
2,
4,
2,
2,
2,
2,
4,
4,
3,
3,
2,
4,
3,
8,
3,
2,
5,
4,
3,
3,
3,
4,
2,
4,
2,
4,
3,
2,
2,
3,
2,
3,
2,
4,
5,
3,
5,
4,
4,
4,
4,
4,
2,
5,
3,
4,
6,
6,
2,
2,
2,
4,
4,
4,
3,
3,
5,
3,
1,
2,
2,
2,
3,
3,
4,
3,
4,
2,
3,
1,
2,
3,
5,
2,
2,
4,
4,
2,
4,
4,
2,
2,
2,
4,
5,
2,
2,
4,
2,
2,
2,
6,
4,
4,
4,
2,
5,
4,
4,
5,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
8,
3,
3,
3,
5,
3,
5,
2,
3,
4,
4,
3,
3,
4,
4,
4,
2,
2,
5,
2,
2,
2,
5,
4,
4,
4,
4,
4,
4,
5,
5,
6,
6,
5,
5,
6,
3,
2,
2,
2,
4,
2,
2,
4,
3,
3,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
5,
3,
4,
3,
2,
3,
2,
2,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
2,
3,
5,
3,
3,
3,
3,
4,
2,
5,
2,
3,
4,
3,
4,
4,
4,
2,
2,
1,
2,
6,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
6,
1,
2,
3,
3,
4,
4,
5,
5,
4,
2,
2,
2,
2,
7,
2,
5,
3,
3,
4,
2,
2,
3,
2,
2,
2,
1,
3,
3,
2,
4,
3,
4,
3,
4,
2,
5,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
4,
2,
2,
2,
3,
4,
2,
2,
3,
2,
2,
4,
2,
3,
2,
2,
4,
2,
3,
2,
4,
1,
2,
4,
3,
3,
3,
5,
3,
1,
3,
8,
4,
4,
4,
2,
3,
4,
6,
5,
4,
3,
3,
3,
2,
3,
4,
3,
2,
3,
4,
6,
3,
3,
5,
2,
3,
4,
3,
2,
2,
3,
3,
5,
6,
6,
4,
4,
3,
4,
4,
4,
4,
4,
3,
2,
3,
4,
3,
3,
3,
4,
3,
2,
5,
2,
4,
5,
3,
4,
2,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
5,
4,
4,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
6,
3,
3,
3,
2,
2,
2,
2,
2,
4,
3,
2,
2,
5,
5,
5,
2,
3,
2,
2,
2,
6,
2,
2,
5,
2,
5,
6,
4,
6,
7,
4,
5,
2,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
3,
2,
3,
5,
4,
4,
3,
4,
3,
2,
4,
4,
4,
4,
2,
2,
2,
4,
5,
2,
2,
2,
5,
3,
2,
2,
2,
3,
3,
3,
2,
3,
6,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
3,
4,
5,
2,
2,
2,
2,
4,
2,
4,
6,
2,
7,
4,
3,
3,
5,
3,
2,
2,
5,
5,
4,
2,
4,
4,
4,
3,
3,
4,
4,
5,
4,
5,
3,
3,
2,
3,
2,
3,
4,
3,
4,
4,
2,
3,
2,
2,
2,
3,
6,
2,
4,
2,
3,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
3,
4,
4,
3,
4,
4,
3,
3,
2,
3,
2,
3,
2,
3,
3,
3,
4,
4,
2,
3,
3,
3,
2,
2,
2,
3,
3,
3,
4,
2,
2,
3,
2,
4,
3,
2,
3,
3,
2,
4,
4,
4,
3,
3,
2,
2,
4,
4,
4,
3,
2,
2,
2,
4,
7,
2,
2,
3,
3,
3,
3,
4,
5,
4,
5,
3,
3,
3,
3,
4,
2,
3,
2,
2,
2,
1,
2,
2,
4,
2,
2,
2,
8,
8,
3,
1,
5,
5,
4,
3,
3,
2,
4,
4,
3,
3,
4,
3,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
7,
2,
2,
3,
2,
4,
2,
1,
3,
2,
3,
2,
4,
4,
3,
2,
4,
3,
3,
4,
6,
3,
2,
4,
6,
4,
2,
4,
4,
6,
2,
4,
4,
4,
6,
5,
2,
2,
5,
4,
2,
2,
2,
2,
4,
4,
2,
3,
3,
2,
4,
4,
4,
2,
4,
4,
2,
3,
3,
2,
3,
2,
4,
3,
4,
4,
4,
3,
3,
3,
4,
3,
2,
3,
2,
2,
2,
2,
3,
2,
4,
2,
3,
4,
3,
2,
3,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
8,
2,
2,
4,
2,
2,
4,
2,
3,
2,
3,
2,
5,
4,
4,
4,
4,
2,
3,
3,
3,
4,
2,
3,
2,
2,
2,
2,
2,
6,
7,
4,
4,
3,
3,
2,
2,
1,
3,
2,
2,
4,
4,
4,
2,
5,
4,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
4,
4,
3,
2,
1,
4,
3,
4,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
6,
3,
2,
4,
2,
2,
2,
3,
3,
3,
3,
4,
3,
2,
5,
5,
2,
2,
2,
3,
2,
3,
4,
4,
2,
3,
2,
2,
4,
2,
3,
2,
2,
2,
5,
5,
2,
4,
4,
4,
4,
3,
4,
4,
3,
3,
2,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
5,
5,
3,
3,
3,
3,
4,
3,
4,
3,
4,
4,
4,
2,
2,
2,
3,
3,
3,
2,
5,
4,
3,
1,
2,
2,
2,
4,
1,
3,
3,
4,
3,
5,
5,
3,
5,
4,
4,
4,
4,
3,
6,
4,
3,
3,
5,
4,
2,
2,
5,
2,
2,
3,
3,
4,
3,
2,
4,
4,
4,
4,
2,
2,
3,
4,
2,
3,
3,
2,
7,
4,
6,
4,
3,
3,
2,
5,
5,
3,
3,
5,
4,
6,
6,
4,
3,
4,
4,
2,
4,
4,
3,
4,
2,
3,
3,
3,
4,
3,
3,
3,
3,
2,
6,
5,
5,
2,
2,
5,
3,
4,
4,
3,
5,
4,
3,
2,
4,
4,
2,
2,
4,
4,
4,
5,
5,
4,
4,
5,
2,
4,
2,
3,
4,
4,
4,
4,
2,
4,
2,
2,
2,
1,
2,
3,
4,
4,
3,
2,
4,
2,
3,
4,
3,
2,
2,
4,
4,
2,
2,
2,
4,
4,
2,
4,
2,
2,
6,
3,
8,
2,
3,
3,
3,
5,
2,
2,
8,
4,
7,
4,
4,
3,
5,
5,
4,
2,
3,
3,
3,
4,
2,
3,
4,
4,
2,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
4,
3,
3,
2,
4,
4,
2,
3,
3,
4,
4,
7,
2,
3,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
2,
4,
5,
4,
4,
3,
3,
2,
2,
3,
2,
4,
3,
2,
2,
2,
2,
2,
5,
2,
6,
4,
4,
4,
2,
4,
6,
4,
3,
5,
4,
4,
3,
3,
2,
5,
4,
3,
3,
2,
2,
2,
4,
2,
2,
5,
3,
4,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
2,
2,
2,
2,
3,
2,
6,
3,
6,
4,
4,
2,
7,
2,
5,
2,
4,
2,
3,
4,
4,
2,
2,
2,
4,
5,
4,
2,
2,
3,
5,
4,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
3,
5,
2,
2,
5,
2,
4,
3,
3,
2,
3,
4,
1,
4,
4,
2,
2,
4,
2,
2,
2,
4,
2,
4,
4,
2,
2,
6,
3,
4,
3,
4,
4,
3,
3,
2,
5,
5,
6,
3,
3,
4,
4,
4,
6,
4,
4,
4,
5,
2,
4,
2,
2,
2,
3,
2,
1,
3,
4,
4,
2,
2,
2,
3,
6,
3,
4,
4,
2,
2,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
6,
4,
3,
3,
2,
3,
4,
4,
2,
4,
2,
2,
1,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
3,
5,
3,
6,
2,
4,
5,
2,
2,
2,
3,
3,
2,
3,
2,
3,
3,
2,
4,
2,
4,
1,
7,
2,
3,
3,
2,
2,
2,
4,
2,
2,
4,
2,
3,
5,
2,
4,
4,
4,
6,
4,
3,
3,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
2,
2,
6,
4,
4,
4,
4,
3,
5,
5,
3,
3,
3,
2,
2,
3,
6,
3,
3,
3,
2,
4,
2,
3,
2,
4,
2,
4,
4,
4,
3,
3,
3,
4,
3,
3,
4,
6,
2,
4,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
5,
2,
2,
2,
6,
6,
4,
4,
2,
2,
2,
5,
3,
2,
4,
4,
2,
4,
4,
4,
5,
4,
3,
5,
2,
4,
4,
2,
4,
2,
3,
2,
2,
3,
4,
2,
3,
2,
4,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
5,
5,
4,
9,
3,
7,
4,
4,
4,
4,
3,
4,
4,
4,
3,
6,
2,
4,
1,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
5,
2,
2,
2,
2,
5,
5,
2,
2,
6,
3,
2,
3,
8,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
2,
2,
1,
1,
2,
2,
2,
4,
3,
4,
2,
3,
2,
2,
5,
5,
4,
6,
6,
2,
3,
4,
4,
4,
4,
4,
3,
3,
5,
5,
5,
5,
5,
4,
4,
2,
3,
3,
3,
2,
3,
2,
4,
3,
4,
4,
4,
5,
2,
5,
4,
4,
5,
5,
4,
5,
3,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
5,
5,
3,
3,
4,
3,
2,
4,
4,
4,
3,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
2,
4,
2,
4,
4,
5,
5,
1,
3,
2,
4,
4,
2,
4,
7,
4,
3,
4,
2,
5,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
3,
5,
5,
2,
5,
4,
3,
5,
5,
1,
5,
3,
4,
3,
2,
2,
3,
3,
3,
4,
2,
2,
2,
2,
4,
2,
4,
2,
2,
3,
3,
2,
2,
2,
2,
3,
4,
3,
2,
2,
2,
2,
6,
4,
6,
5,
5,
4,
2,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
1,
2,
2,
2,
3,
2,
3,
4,
3,
3,
2,
2,
2,
3,
5,
2,
2,
3,
2,
3,
2,
2,
4,
4,
2,
4,
2,
2,
1,
4,
4,
2,
5,
3,
3,
3,
4,
3,
5,
3,
3,
3,
2,
2,
2,
4,
3,
5,
5,
3,
4,
3,
5,
4,
2,
4,
3,
3,
3,
4,
2,
5,
5,
4,
4,
6,
3,
3,
3,
2,
1,
1,
4,
2,
3,
4,
4,
4,
4,
8,
4,
3,
4,
2,
2,
2,
2,
3,
4,
2,
3,
2,
2,
2,
3,
4,
4,
2,
2,
3,
2,
3,
4,
3,
4,
2,
7,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
1,
2,
4,
2,
2,
2,
3,
1,
2,
4,
2,
3,
4,
3,
3,
2,
6,
2,
2,
3,
4,
4,
4,
3,
3,
2,
4,
3,
5,
4,
3,
4,
2,
1,
4,
4,
3,
4,
2,
3,
4,
3,
3,
2,
4,
4,
3,
4,
4,
4,
4,
5,
3,
2,
4,
4,
2,
2,
3,
4,
4,
3,
3,
4,
4,
2,
2,
4,
4,
3,
2,
2,
6,
4,
8,
2,
2,
2,
2,
3,
2,
3,
3,
4,
4,
4,
4,
5,
3,
4,
4,
4,
3,
6,
3,
4,
4,
2,
4,
2,
2,
2,
4,
2,
2,
1,
3,
3,
3,
3,
3,
2,
2,
3,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
6,
2,
2,
5,
4,
2,
3,
2,
2,
2,
3,
2,
3,
2,
1,
3,
2,
3,
3,
3,
3,
4,
3,
2,
4,
3,
3,
4,
2,
4,
3,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
2,
5,
4,
4,
4,
2,
3,
3,
3,
4,
4,
4,
2,
5,
3,
3,
3,
3,
1,
3,
3,
2,
4,
4,
4,
4,
3,
2,
2,
5,
5,
4,
2,
2,
4,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
3,
2,
2,
4,
4,
4,
2,
4,
5,
2,
2,
3,
2,
2,
4,
2,
2,
3,
1,
3,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
5,
4,
4,
3,
3,
5,
3,
2,
2,
3,
3,
2,
2,
2,
3,
6,
2,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
3,
4,
3,
3,
4,
1,
3,
2,
1,
2,
2,
4,
4,
3,
3,
3,
4,
2,
4,
3,
1,
3,
2,
2,
3,
7,
3,
2,
3,
3,
2,
2,
4,
3,
3,
3,
2,
4,
2,
3,
4,
4,
4,
4,
2,
3,
3,
4,
4,
4,
4,
2,
4,
2,
2,
4,
3,
4,
3,
3,
1,
2,
2,
2,
2,
4,
5,
2,
3,
2,
4,
4,
3,
2,
2,
4,
4,
4,
4,
4,
3,
2,
2,
1,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
3,
5,
1,
3,
3,
3,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
3,
3,
2,
3,
3,
2,
2,
4,
4,
3,
3,
4,
5,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
4,
5,
2,
3,
2,
2,
2,
2,
4,
3,
3,
5,
3,
2,
2,
2,
4,
3,
4,
3,
3,
2,
4,
2,
2,
3,
2,
2,
2,
4,
3,
4,
5,
3,
4,
4,
2,
5,
4,
3,
3,
5,
2,
2,
4,
2,
2,
3,
3,
2,
2,
3,
2,
6,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
2,
4,
7,
6,
6,
5,
5,
4,
4,
2,
3,
3,
3,
2,
4,
8,
4,
4,
4,
4,
4,
4,
5,
3,
2,
2,
4,
4,
3,
3,
3,
3,
2,
2,
2,
6,
3,
3,
3,
4,
3,
3,
3,
2,
3,
2,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
3,
4,
3,
4,
3,
2,
4,
4,
4,
2,
3,
5,
3,
3,
2,
4,
4,
4,
4,
3,
6,
6,
3,
3,
3,
3,
5,
3,
4,
4,
3,
4,
4,
3,
5,
3,
3,
2,
2,
4,
5,
5,
2,
2,
3,
3,
3,
4,
4,
2,
1,
3,
4,
3,
3,
5,
2,
2,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
4,
3,
4,
5,
2,
3,
4,
3,
5,
2,
5,
4,
4,
3,
4,
4,
2,
2,
3,
3,
4,
5,
4,
4,
2,
4,
3,
4,
3,
3,
2,
4,
3,
4,
2,
2,
2,
2,
3,
3,
3,
6,
2,
3,
2,
2,
2,
2,
3,
4,
4,
2,
2,
4,
2,
4,
3,
3,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
2,
2,
4,
4,
4,
2,
2,
2,
2,
5,
6,
3,
2,
2,
2,
2,
2,
3,
4,
2,
7,
4,
4,
4,
7,
4,
4,
4,
2,
4,
4,
2,
4,
7,
3,
3,
3,
3,
1,
2,
2,
2,
4,
2,
2,
2,
3,
3,
4,
3,
4,
4,
3,
3,
3,
1,
4,
2,
3,
3,
3,
4,
5,
3,
4,
5,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
5,
2,
2,
4,
4,
3,
4,
4,
4,
3,
2,
2,
2,
4,
4,
2,
2,
4,
4,
3,
2,
2,
4,
4,
4,
2,
4,
2,
2,
1,
2,
2,
3,
4,
3,
1,
2,
2,
2,
3,
4,
4,
2,
2,
2,
2,
2,
4,
3,
4,
4,
2,
2,
4,
4,
2,
4,
2,
2,
4,
2,
3,
2,
2,
2,
2,
5,
3,
2,
3,
3,
3,
2,
2,
3,
4,
5,
2,
4,
4,
2,
2,
4,
4,
4,
4,
4,
3,
2,
5,
3,
3,
3,
4,
4,
4,
4,
4,
5,
3,
4,
4,
2,
4,
6,
4,
4,
3,
3,
3,
4,
4,
4,
3,
4,
5,
4,
2,
5,
4,
4,
4,
4,
5,
3,
3,
2,
3,
3,
2,
1,
2,
3,
3,
3,
3,
6,
4,
6,
6,
2,
4,
2,
2,
2,
3,
3,
2,
3,
4,
2,
3,
2,
4,
3,
3,
4,
3,
3,
3,
3,
4,
4,
4,
5,
3,
3,
7,
3,
7,
6,
4,
3,
4,
3,
4,
3,
4,
4,
2,
5,
3,
3,
4,
5,
5,
3,
5,
3,
5,
7,
4,
4,
4,
7,
4,
5,
3,
6,
6,
4,
4,
2,
3,
3,
4,
4,
3,
2,
1,
2,
2,
4,
2,
3,
3,
2,
3,
3,
5,
2,
4,
1,
2,
4,
2,
6,
4,
5,
3,
2,
5,
3,
3,
5,
2,
3,
3,
2,
3,
4,
2,
4,
4,
4,
4,
2,
3,
2,
3,
5,
4,
3,
3,
3,
4,
5,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
1,
1,
3,
2,
2,
7,
5,
4,
5,
3,
5,
6,
2,
3,
2,
3,
4,
4,
5,
4,
3,
3,
6,
6,
2,
3,
3,
4,
4,
4,
5,
2,
1,
2,
2,
3,
4,
2,
2,
2,
7,
2,
2,
8,
6,
2,
3,
3,
4,
2,
5,
3,
4,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
1,
5,
5,
3,
3,
3,
5,
3,
3,
4,
4,
4,
4,
2,
3,
4,
3,
2,
4,
3,
2,
3,
2,
2,
3,
2,
3,
3,
2,
4,
4,
3,
3,
2,
2,
2,
3,
3,
3,
5,
7,
4,
6,
4,
4,
4,
6,
5,
4,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
6,
4,
6,
5,
5,
5,
4,
3,
3,
3,
2,
4,
2,
3,
3,
2,
4,
2,
4,
2,
4,
2,
2,
2,
2,
2,
1,
2,
2,
4,
4,
8,
4,
4,
2,
3,
6,
3,
4,
4,
3,
3,
1,
2,
4,
4,
2,
6,
3,
3,
3,
4,
4,
2,
3,
2,
1,
2,
3,
3,
1,
2,
5,
2,
5,
4,
4,
4,
3,
4,
4,
4,
2,
4,
4,
4,
2,
4,
3,
3,
2,
4,
4,
3,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
5,
3,
2,
1,
3,
4,
4,
4,
5,
3,
2,
3,
6,
2,
4,
3,
2,
4,
4,
4,
6,
2,
3,
3,
3,
2,
2,
2,
4,
5,
5,
2,
3,
2,
4,
6,
4,
2,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
4,
4,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
3,
3,
2,
2,
4,
2,
4,
6,
5,
3,
3,
3,
4,
3,
7,
2,
2,
2,
5,
2,
4,
3,
4,
5,
5,
1,
3,
3,
3,
5,
4,
2,
4,
2,
4,
3,
4,
3,
3,
3,
3,
2,
4,
3,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
3,
3,
3,
3,
3,
4,
3,
2,
4,
2,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
5,
4,
4,
5,
4,
4,
4,
2,
2,
4,
4,
4,
4,
5,
2,
2,
3,
3,
3,
5,
2,
1,
3,
2,
4,
3,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
5,
2,
3,
7,
4,
3,
3,
3,
4,
3,
3,
3,
3,
2,
2,
4,
4,
4,
3,
3,
4,
4,
4,
3,
2,
3,
2,
4,
2,
4,
4,
3,
3,
3,
3,
4,
5,
2,
2,
5,
5,
3,
6,
3,
2,
3,
4,
2,
3,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
2,
3,
4,
4,
3,
3,
4,
4,
4,
6,
4,
2,
4,
4,
4,
3,
3,
4,
4,
3,
4,
2,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
4,
2,
6,
7,
3,
2,
4,
4,
4,
3,
5,
4,
5,
3,
7,
4,
4,
3,
3,
2,
2,
2,
2,
5,
2,
5,
4,
2,
3,
3,
3,
3,
2,
4,
4,
2,
2,
5,
3,
3,
3,
3,
3,
5,
4,
4,
3,
4,
4,
5,
5,
5,
4,
6,
4,
4,
4,
4,
4,
4,
6,
3,
6,
3,
7,
3,
3,
3,
3,
4,
6,
3,
4,
2,
4,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
3,
4,
4,
2,
2,
4,
2,
2,
2,
3,
9,
4,
5,
5,
5,
2,
2,
6,
2,
4,
4,
4,
6,
3,
5,
1,
3,
5,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
1,
3,
3,
2,
4,
3,
4,
2,
3,
5,
5,
6,
4,
3,
5,
5,
5,
5,
5,
2,
4,
4,
4,
4,
5,
4,
4,
6,
4,
2,
4,
3,
4,
4,
4,
3,
4,
2,
5,
5,
6,
5,
3,
4,
3,
4,
3,
3,
6,
4,
2,
3,
2,
2,
5,
4,
2,
4,
4,
3,
3,
4,
2,
4,
4,
6,
4,
4,
2,
4,
4,
7,
3,
3,
3,
5,
4,
2,
4,
2,
4,
2,
2,
4,
2,
5,
2,
2,
2,
3,
3,
1,
4,
4,
3,
2,
2,
2,
4,
4,
4,
4,
3,
3,
3,
3,
0,
3,
2,
3,
3,
2,
3,
2,
5,
2,
3,
5,
3,
2,
2,
3,
2,
2,
3,
4,
2,
3,
2,
3,
4,
4,
2,
5,
4,
2,
5,
2,
6,
5,
4,
2,
3,
4,
2,
3,
2,
3,
3,
2,
5,
2,
4,
2,
4,
3,
3,
4,
4,
4,
4,
4,
3,
2,
2,
2,
4,
2,
4,
2,
3,
2,
6,
3,
3,
4,
5,
5,
3,
3,
3,
3,
2,
2,
3,
4,
4,
4,
3,
4,
6,
7,
2,
2,
4,
2,
4,
3,
4,
4,
3,
4,
4,
5,
4,
6,
7,
5,
4,
4,
3,
2,
4,
3,
4,
2,
2,
4,
4,
3,
4,
3,
5,
5,
3,
5,
5,
2,
4,
4,
3,
3,
3,
3,
3,
5,
2,
3,
2,
4,
2,
2,
2,
5,
3,
3,
3,
3,
2,
4,
3,
4,
4,
6,
6,
6,
4,
4,
5,
3,
4,
4,
2,
2,
3,
3,
3,
4,
2,
3,
4,
2,
4,
4,
5,
4,
3,
3,
2,
2,
3,
4,
3,
4,
4,
4,
3,
2,
2,
2,
2,
5,
3,
2,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
6,
3,
1,
2,
2,
2,
4,
2,
2,
2,
4,
3,
4,
2,
2,
2,
2,
3,
5,
3,
2,
3,
5,
5,
2,
3,
6,
5,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
2,
7,
2,
3,
4,
3,
5,
3,
3,
3,
4,
1,
3,
2,
4,
3,
4,
2,
3,
5,
5,
2,
2,
3,
6,
4,
4,
2,
4,
3,
2,
4,
2,
4,
5,
3,
3,
3,
2,
4,
4,
4,
4,
6,
4,
4,
4,
4,
4,
4,
4,
2,
4,
7,
7,
4,
4,
2,
4,
3,
3,
3,
3,
2,
3,
2,
3,
2,
2,
2,
4,
2,
4,
1,
4,
4,
4,
3,
2,
3,
4,
2,
3,
3,
2,
2,
4,
5,
2,
4,
4,
3,
4,
2,
2,
5,
4,
5,
5,
2,
4,
2,
3,
3,
3,
4,
2,
4,
2,
3,
3,
3,
4,
3,
2,
4,
2,
3,
3,
2,
4,
4,
6,
5,
2,
2,
4,
1,
2,
3,
3,
2,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
2,
3,
1,
1,
3,
3,
5,
5,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
4,
4,
2,
5,
2,
2,
2,
2,
2,
5,
2,
2,
2,
4,
3,
4,
2,
4,
2,
2,
2,
2,
2,
4,
5,
4,
4,
4,
4,
2,
5,
3,
3,
6,
2,
5,
3,
3,
2,
3,
7,
4,
2,
4,
2,
5,
4,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
7,
7,
3,
2,
3,
4,
6,
2,
3,
3,
3,
2,
2,
8,
3,
2,
3,
2,
3,
2,
3,
4,
4,
4,
4,
5,
5,
4,
3,
3,
3,
3,
3,
2,
3,
4,
3,
4,
4,
4,
6,
4,
4,
4,
4,
4,
4,
3,
4,
3,
4,
5,
4,
4,
4,
3,
4,
3,
2,
3,
2,
2,
3,
2,
3,
3,
3,
3,
3,
4,
6,
3,
3,
3,
2,
2,
4,
4,
2,
2,
2,
3,
7,
2,
3,
4,
4,
2,
4,
3,
2,
2,
1,
2,
4,
4,
4,
2,
6,
3,
2,
3,
2,
4,
2,
2,
4,
3,
3,
3,
2,
4,
2,
3,
5,
3,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
4,
3,
3,
2,
4,
3,
3,
3,
7,
4,
5,
3,
3,
2,
6,
7,
3,
5,
5,
5,
5,
4,
3,
3,
3,
3,
3,
2,
3,
4,
3,
3,
4,
3,
3,
4,
4,
1,
3,
3,
4,
4,
3,
3,
4,
2,
2,
2,
2,
6,
6,
3,
2,
3,
3,
3,
5,
2,
5,
5,
4,
4,
3,
2,
3,
2,
4,
2,
5,
2,
5,
4,
2,
4,
4,
4,
4,
2,
2,
3,
3,
3,
2,
3,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
5,
4,
3,
3,
4,
4,
3,
4,
3,
3,
2,
2,
5,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
4,
5,
3,
2,
2,
2,
2,
2,
2,
4,
2,
4,
2,
3,
2,
3,
3,
3,
3,
2,
2,
4,
3,
4,
3,
3,
4,
2,
3,
3,
1,
4,
4,
3,
4,
4,
4,
4,
2,
2,
3,
3,
2,
3,
4,
3,
2,
8,
2,
5,
3,
4,
6,
2,
4,
1,
2,
2,
2,
3,
2,
1,
1,
2,
2,
3,
2,
4,
4,
3,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
2,
5,
2,
4,
2,
4,
4,
4,
3,
2,
2,
2,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
2,
3,
3,
3,
4,
2,
3,
2,
2,
6,
2,
3,
4,
2,
2,
5,
4,
2,
4,
4,
4,
2,
4,
2,
4,
2,
2,
2,
3,
2,
2,
2,
3,
3,
3,
2,
3,
4,
2,
4,
2,
2,
2,
4,
3,
3,
1,
3,
3,
2,
4,
2,
2,
3,
2,
2,
3,
4,
4,
3,
4,
3,
2,
2,
3,
2,
2,
4,
3,
3,
2,
3,
4,
4,
2,
3,
3,
3,
3,
3,
5,
2,
4,
4,
2,
2,
4,
4,
3,
5,
4,
4,
4,
4,
3,
1,
3,
3,
2,
4,
1,
4,
4,
4,
4,
4,
4,
5,
5,
2,
5,
1,
4,
2,
2,
2,
2,
3,
2,
2,
3,
4,
4,
2,
4,
6,
4,
4,
4,
2,
4,
2,
3,
3,
2,
2,
2,
2,
2,
5,
4,
2,
4,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
4,
3,
3,
2,
5,
4,
4,
4,
2,
4,
4,
8,
8,
4,
2,
3,
5,
2,
2,
4,
3,
5,
3,
2,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
2,
3,
3,
5,
3,
3,
2,
3,
4,
2,
3,
3,
3,
3,
6,
5,
7,
7,
3,
3,
4,
3,
2,
1,
1,
2,
2,
2,
2,
2,
1,
5,
2,
2,
3,
3,
5,
3,
4,
6,
3,
4,
2,
1,
3,
2,
5,
2,
2,
9,
4,
4,
2,
2,
2,
3,
4,
2,
2,
4,
4,
3,
4,
4,
3,
4,
4,
4,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
4,
3,
3,
2,
4,
1,
4,
3,
2,
2,
4,
2,
3,
2,
4,
4,
3,
3,
4,
5,
3,
2,
4,
5,
4,
4,
4,
4,
4,
4,
3,
5,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
2,
3,
2,
3,
3,
2,
5,
4,
2,
2,
4,
2,
3,
6,
2,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
3,
5,
5,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
4,
3,
4,
2,
2,
2,
4,
6,
4,
2,
3,
3,
2,
4,
4,
2,
2,
3,
1,
3,
2,
2,
5,
3,
3,
3,
3,
7,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
2,
4,
2,
4,
6,
3,
4,
4,
4,
4,
2,
2,
3,
3,
1,
3,
3,
3,
2,
4,
6,
5,
5,
5,
4,
4,
4,
4,
5,
3,
2,
3,
3,
3,
4,
3,
4,
3,
1,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
9,
3,
2,
4,
4,
2,
2,
7,
4,
3,
2,
3,
4,
2,
2,
3,
2,
3,
3,
2,
2,
5,
2,
2,
3,
2,
2,
2,
3,
2,
3,
3,
3,
2,
2,
3,
2,
2,
5,
5,
2,
3,
3,
2,
1,
2,
3,
3,
5,
4,
4,
1,
4,
4,
1,
2,
3,
4,
3,
5,
4,
3,
6,
4,
4,
3,
4,
3,
4,
4,
2,
6,
4,
9,
4,
4,
3,
3,
2,
3,
2,
3,
4,
3,
3,
6,
3,
2,
4,
4,
4,
2,
4,
4,
4,
2,
2,
5,
2,
4,
3,
5,
3,
2,
3,
4,
3,
2,
2,
2,
4,
4,
4,
3,
2,
2,
2,
4,
3,
6,
6,
3,
5,
3,
3,
3,
3,
3,
4,
3,
5,
6,
4,
2,
4,
5,
5,
5,
3,
5,
4,
4,
2,
2,
2,
2,
3,
4,
4,
4,
2,
2,
2,
2,
3,
1,
3,
3,
3,
1,
4,
4,
4,
4,
2,
4,
4,
3,
2,
4,
4,
5,
7,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
5,
5,
5,
4,
4,
4,
4,
3,
2,
3,
3,
4,
5,
5,
2,
5,
5,
3,
6,
4,
4,
2,
4,
4,
4,
5,
5,
2,
2,
2,
4,
2,
4,
3,
2,
2,
3,
3,
4,
2,
3,
2,
3,
3,
3,
1,
2,
3,
5,
3,
3,
4,
4,
4,
3,
2,
2,
5,
3,
6,
3,
3,
3,
3,
2,
3,
3,
2,
2,
4,
4,
4,
3,
3,
3,
4,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
5,
2,
2,
3,
7,
4,
2,
4,
2,
3,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
5,
3,
4,
2,
2,
2,
5,
4,
4,
4,
4,
2,
4,
4,
4,
2,
4,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
6,
2,
4,
5,
4,
4,
4,
2,
2,
2,
3,
4,
3,
4,
4,
3,
4,
3,
3,
4,
2,
2,
3,
4,
3,
3,
4,
2,
2,
2,
2,
4,
2,
2,
3,
2,
4,
5,
4,
2,
4,
2,
4,
3,
2,
2,
4,
3,
2,
2,
2,
3,
4,
3,
3,
2,
2,
3,
4,
4,
3,
4,
2,
3,
4,
2,
2,
3,
4,
4,
2,
3,
3,
2,
2,
4,
4,
3,
4,
2,
2,
4,
3,
4,
3,
3,
3,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
5,
3,
2,
3,
3,
3,
2,
1,
1,
2,
3,
5,
2,
5,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
4,
5,
5,
5,
5,
4,
3,
2,
2,
4,
4,
5,
5,
4,
2,
2,
3,
2,
2,
3,
4,
3,
4,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
3,
3,
6,
4,
2,
2,
2,
2,
2,
4,
5,
4,
3,
5,
2,
2,
4,
4,
4,
4,
2,
3,
4,
4,
4,
4,
3,
2,
3,
3,
4,
4,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
6,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
3,
6,
6,
3,
4,
4,
6,
4,
8,
2,
1,
2,
4,
4,
3,
3,
2,
4,
2,
3,
2,
3,
6,
2,
4,
2,
7,
4,
3,
4,
5,
3,
2,
2,
3,
2,
3,
3,
4,
3,
4,
2,
3,
2,
5,
3,
3,
3,
4,
2,
2,
2,
4,
2,
2,
4,
3,
2,
3,
2,
3,
2,
4,
2,
2,
3,
3,
2,
2,
4,
4,
2,
3,
5,
4,
3,
3,
3,
2,
2,
2,
5,
1,
2,
2,
3,
3,
5,
3,
3,
2,
3,
2,
2,
4,
3,
4,
3,
2,
4,
2,
3,
4,
4,
4,
4,
5,
4,
5,
2,
4,
3,
3,
2,
2,
3,
3,
4,
2,
4,
6,
4,
4,
4,
4,
3,
3,
3,
3,
5,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
7,
5,
4,
6,
5,
5,
2,
3,
2,
3,
3,
2,
2,
4,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
2,
5,
6,
7,
4,
2,
3,
3,
3,
2,
2,
3,
3,
3,
4,
1,
5,
5,
2,
2,
2,
3,
3,
5,
3,
3,
2,
3,
3,
5,
1,
5,
4,
3,
3,
3,
4,
4,
4,
3,
2,
2,
2,
3,
4,
4,
4,
2,
1,
2,
2,
4,
4,
2,
5,
2,
5,
2,
3,
2,
5,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
5,
3,
4,
3,
5,
2,
5,
3,
7,
4,
8,
8,
4,
5,
3,
2,
6,
3,
2,
1,
1,
3,
3,
4,
2,
2,
4,
2,
3,
4,
2,
4,
2,
2,
4,
4,
3,
3,
5,
2,
2,
4,
2,
2,
2,
2,
3,
2,
2,
4,
4,
2,
3,
3,
3,
3,
2,
4,
5,
5,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
4,
4,
2,
2,
2,
2,
4,
2,
5,
4,
3,
3,
2,
3,
3,
3,
3,
4,
4,
2,
3,
2,
4,
1,
4,
4,
4,
4,
4,
3,
6,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
1,
3,
5,
3,
6,
4,
6,
3,
5,
2,
3,
4,
4,
4,
4,
1,
5,
2,
3,
3,
5,
3,
3,
4,
3,
5,
3,
5,
3,
4,
3,
2,
3,
3,
2,
2,
4,
5,
3,
2,
2,
6,
4,
2,
2,
3,
2,
2,
4,
2,
2,
2,
7,
5,
5,
5,
3,
6,
2,
4,
7,
6,
4,
2,
2,
2,
3,
4,
5,
5,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
5,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
5,
4,
5,
3,
3,
5,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
7,
3,
5,
3,
5,
5,
3,
2,
2,
2,
2,
4,
2,
5,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
2,
4,
6,
4,
4,
5,
5,
4,
4,
4,
2,
3,
2,
2,
2,
4,
2,
4,
4,
4,
5,
3,
4,
2,
3,
5,
3,
4,
4,
5,
1,
3,
3,
3,
3,
3,
3,
3,
1,
5,
3,
2,
2,
2,
3,
1,
1,
4,
2,
2,
3,
3,
3,
3,
3,
1,
2,
3,
2,
4,
4,
3,
4,
2,
2,
3,
2,
3,
3,
2,
4,
3,
3,
4,
2,
3,
5,
2,
4,
3,
3,
4,
4,
3,
2,
2,
2,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
1,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
5,
2,
4,
5,
5,
6,
4,
2,
2,
5,
4,
3,
2,
3,
3,
4,
4,
5,
5,
3,
4,
4,
4,
3,
2,
2,
3,
2,
2,
2,
3,
2,
2,
4,
4,
4,
5,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
4,
2,
3,
2,
4,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
3,
3,
4,
3,
3,
2,
3,
3,
4,
3,
2,
2,
5,
2,
2,
3,
5,
5,
3,
4,
4,
4,
4,
4,
7,
2,
2,
1,
2,
2,
2,
2,
2,
2,
3,
3,
4,
1,
2,
2,
3,
4,
5,
3,
2,
3,
2,
4,
2,
3,
2,
3,
3,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
4,
6,
3,
3,
3,
3,
2,
3,
4,
3,
3,
3,
2,
3,
4,
4,
5,
3,
3,
2,
2,
5,
3,
3,
2,
3,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
4,
4,
3,
2,
4,
3,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
5,
5,
5,
5,
3,
3,
2,
2,
4,
4,
5,
3,
4,
4,
4,
5,
4,
6,
3,
4,
4,
2,
3,
1,
3,
2,
2,
2,
1,
3,
4,
3,
3,
5,
3,
3,
3,
3,
2,
3,
4,
4,
3,
2,
3,
3,
3,
3,
4,
4,
2,
6,
3,
3,
2,
3,
2,
2,
3,
4,
4,
2,
3,
4,
2,
3,
5,
5,
3,
6,
3,
4,
2,
4,
4,
2,
2,
3,
3,
3,
3,
3,
2,
3,
2,
1,
4,
2,
4,
1,
2,
3,
2,
4,
4,
6,
2,
3,
6,
4,
4,
2,
2,
4,
2,
2,
3,
2,
2,
1,
3,
4,
2,
4,
3,
3,
2,
4,
5,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
4,
4,
1,
4,
4,
6,
3,
2,
4,
4,
4,
4,
4,
4,
5,
4,
1,
2,
3,
2,
4,
5,
5,
2,
2,
4,
2,
5,
3,
2,
4,
4,
5,
4,
5,
3,
3,
4,
4,
2,
2,
5,
2,
4,
4,
2,
3,
3,
3,
3,
3,
3,
5,
2,
2,
4,
2,
3,
3,
4,
4,
3,
4,
5,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
6,
5,
4,
2,
2,
2,
2,
2,
2,
3,
3,
4,
5,
6,
4,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
5,
2,
3,
2,
3,
3,
3,
6,
2,
2,
4,
3,
6,
4,
3,
3,
4,
3,
2,
5,
2,
3,
2,
6,
6,
5,
2,
3,
3,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
3,
1,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
4,
3,
2,
2,
2,
3,
2,
2,
1,
4,
2,
3,
5,
3,
4,
3,
1,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
3,
4,
4,
4,
3,
3,
2,
3,
3,
2,
2,
2,
4,
6,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
2,
5,
3,
3,
5,
4,
4,
3,
4,
3,
3,
2,
5,
2,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
5,
2,
2,
4,
3,
3,
2,
4,
6,
2,
2,
3,
7,
2,
3,
3,
4,
4,
4,
4,
2,
2,
4,
3,
2,
3,
3,
3,
4,
3,
3,
4,
3,
2,
2,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
5,
2,
3,
2,
3,
3,
3,
3,
4,
2,
2,
4,
2,
3,
6,
2,
4,
3,
3,
3,
3,
4,
4,
2,
2,
5,
3,
3,
6,
2,
5,
5,
3,
3,
3,
3,
3,
3,
2,
3,
5,
6,
5,
4,
2,
3,
2,
2,
2,
2,
3,
4,
3,
3,
6,
2,
6,
3,
6,
4,
3,
5,
4,
4,
5,
4,
4,
2,
4,
4,
4,
4,
4,
5,
4,
4,
5,
3,
3,
2,
3,
5,
5,
3,
3,
3,
3,
4,
3,
2,
3,
4,
4,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
1,
4,
3,
4,
2,
3,
3,
3,
1,
1,
3,
2,
5,
3,
4,
7,
4,
4,
2,
3,
7,
3,
3,
1,
1,
4,
2,
4,
4,
4,
2,
4,
4,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
3,
3,
4,
4,
6,
3,
2,
2,
4,
6,
3,
5,
4,
2,
2,
4,
4,
3,
2,
2,
2,
5,
3,
4,
4,
4,
5,
4,
3,
3,
4,
2,
4,
2,
2,
4,
5,
3,
4,
4,
2,
5,
3,
2,
3,
3,
3,
4,
2,
2,
2,
4,
3,
2,
4,
3,
2,
2,
2,
4,
2,
4,
2,
3,
3,
3,
3,
2,
5,
3,
2,
4,
2,
5,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
5,
4,
4,
4,
2,
4,
2,
2,
4,
3,
2,
3,
2,
2,
3,
3,
3,
2,
3,
4,
3,
4,
4,
4,
2,
1,
2,
6,
2,
4,
4,
7,
4,
6,
4,
4,
4,
4,
5,
4,
4,
3,
3,
4,
3,
1,
2,
2,
5,
5,
4,
4,
4,
4,
6,
5,
4,
4,
4,
3,
5,
4,
5,
4,
4,
5,
4,
5,
3,
5,
3,
2,
3,
1,
2,
6,
4,
4,
4,
3,
1,
3,
3,
4,
3,
2,
2,
3,
3,
5,
5,
3,
4,
3,
2,
2,
3,
2,
4,
2,
3,
3,
3,
3,
4,
4,
3,
3,
4,
3,
5,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
2,
3,
2,
3,
6,
3,
5,
5,
4,
3,
4,
4,
3,
2,
2,
2,
3,
1,
2,
2,
3,
2,
6,
3,
4,
4,
4,
5,
2,
3,
3,
2,
2,
3,
1,
3,
4,
3,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
4,
4,
5,
3,
5,
4,
4,
4,
2,
3,
4,
4,
7,
2,
2,
2,
2,
3,
4,
3,
5,
4,
4,
4,
4,
4,
4,
2,
2,
3,
5,
1,
3,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
3,
3,
2,
3,
2,
1,
3,
2,
4,
4,
3,
4,
2,
3,
3,
4,
4,
2,
2,
4,
4,
3,
4,
4,
4,
3,
3,
2,
1,
3,
3,
3,
3,
3,
3,
3,
5,
6,
5,
4,
4,
8,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
3,
4,
4,
3,
3,
2,
3,
4,
4,
2,
2,
3,
3,
3,
2,
3,
2,
2,
3,
2,
2,
4,
2,
3,
3,
4,
2,
4,
2,
3,
3,
4,
4,
3,
3,
3,
6,
3,
6,
2,
3,
4,
6,
7,
7,
3,
3,
3,
2,
3,
3,
7,
4,
3,
4,
4,
6,
5,
3,
3,
4,
3,
3,
3,
2,
3,
3,
3,
4,
2,
4,
3,
2,
2,
2,
2,
4,
4,
3,
2,
3,
2,
3,
2,
3,
3,
2,
4,
5,
5,
2,
2,
4,
2,
2,
2,
4,
4,
4,
2,
4,
2,
2,
4,
2,
2,
2,
3,
3,
3,
4,
4,
2,
3,
6,
2,
2,
2,
3,
2,
4,
4,
3,
4,
3,
1,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
1,
2,
4,
3,
1,
2,
2,
4,
4,
4,
2,
2,
2,
2,
7,
2,
2,
4,
5,
4,
4,
2,
2,
2,
2,
3,
1,
5,
1,
3,
5,
4,
5,
2,
4,
4,
4,
4,
4,
2,
4,
4,
2,
3,
4,
3,
4,
4,
4,
2,
3,
3,
3,
3,
3,
5,
3,
3,
3,
3,
3,
4,
1,
4,
1,
4,
3,
4,
2,
1,
2,
2,
2,
5,
2,
2,
2,
2,
4,
4,
3,
3,
3,
1,
3,
2,
3,
2,
2,
2,
3,
2,
3,
3,
3,
5,
3,
3,
3,
2,
2,
2,
6,
6,
6,
6,
6,
2,
4,
4,
2,
3,
3,
1,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
3,
2,
3,
2,
2,
4,
4,
5,
2,
4,
4,
2,
3,
4,
2,
2,
4,
3,
3,
3,
4,
3,
4,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
7,
3,
4,
5,
5,
4,
2,
3,
5,
5,
2,
2,
5,
3,
3,
2,
6,
4,
4,
5,
3,
5,
3,
5,
3,
3,
4,
8,
4,
6,
4,
5,
5,
2,
3,
3,
3,
4,
5,
5,
4,
2,
2,
4,
3,
2,
3,
3,
3,
2,
4,
4,
4,
5,
4,
2,
2,
2,
4,
2,
2,
3,
5,
5,
4,
3,
4,
3,
3,
3,
4,
4,
2,
4,
4,
3,
3,
4,
3,
2,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
3,
3,
5,
2,
2,
2,
1,
3,
4,
3,
3,
2,
4,
2,
4,
2,
3,
3,
3,
3,
5,
6,
5,
5,
2,
2,
3,
3,
2,
2,
7,
4,
6,
3,
3,
7,
3,
3,
3,
6,
3,
4,
2,
2,
2,
2,
5,
5,
6,
2,
5,
2,
2,
4,
3,
3,
2,
2,
3,
2,
5,
3,
8,
2,
4,
4,
4,
3,
4,
1,
5,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
4,
4,
2,
4,
2,
2,
3,
2,
4,
4,
2,
2,
2,
1,
2,
4,
2,
2,
3,
4,
4,
4,
2,
2,
3,
4,
3,
2,
4,
4,
4,
3,
3,
3,
2,
4,
3,
2,
3,
3,
3,
4,
3,
3,
2,
3,
3,
4,
4,
4,
7,
8,
3,
2,
2,
3,
2,
6,
2,
4,
4,
4,
2,
2,
5,
2,
4,
2,
4,
4,
3,
5,
2,
2,
2,
2,
5,
5,
5,
5,
5,
2,
2,
2,
2,
2,
2,
1,
3,
3,
4,
2,
3,
3,
2,
3,
3,
3,
4,
4,
2,
2,
4,
4,
4,
4,
2,
4,
3,
3,
4,
4,
2,
3,
2,
4,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
1,
3,
3,
6,
3,
5,
5,
3,
3,
4,
4,
4,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
6,
5,
4,
6,
5,
4,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
3,
2,
3,
2,
2,
3,
2,
4,
4,
2,
4,
4,
4,
2,
2,
4,
4,
2,
2,
2,
2,
3,
3,
4,
4,
2,
4,
2,
4,
4,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
3,
4,
2,
7,
4,
3,
2,
4,
9,
5,
2,
4,
2,
4,
4,
2,
4,
3,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
2,
3,
3,
2,
3,
2,
2,
3,
3,
3,
5,
4,
2,
3,
2,
4,
2,
2,
3,
3,
4,
4,
2,
4,
4,
2,
2,
6,
4,
3,
2,
3,
2,
2,
4,
4,
4,
4,
4,
2,
4,
6,
6,
3,
2,
2,
2,
4,
3,
4,
4,
2,
4,
4,
4,
2,
2,
3,
2,
5,
3,
3,
3,
4,
3,
4,
4,
2,
2,
3,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
3,
4,
2,
3,
2,
2,
2,
5,
2,
2,
2,
2,
3,
3,
2,
2,
5,
6,
4,
5,
5,
4,
4,
4,
4,
4,
5,
3,
4,
7,
6,
2,
3,
2,
4,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
2,
3,
2,
4,
2,
4,
3,
2,
2,
2,
5,
3,
4,
3,
3,
2,
6,
3,
3,
2,
2,
3,
4,
3,
3,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
2,
3,
4,
2,
3,
4,
3,
3,
3,
2,
3,
3,
2,
3,
3,
6,
6,
3,
4,
3,
2,
4,
2,
4,
4,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
2,
4,
4,
3,
2,
2,
3,
3,
3,
4,
3,
2,
2,
2,
4,
2,
4,
4,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
1,
2,
3,
5,
3,
3,
3,
2,
3,
4,
4,
4,
3,
5,
2,
2,
4,
3,
4,
2,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
5,
4,
6,
4,
4,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
6,
3,
3,
2,
3,
5,
4,
4,
4,
4,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
5,
3,
2,
3,
3,
2,
2,
3,
2,
2,
3,
1,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
3,
2,
3,
3,
3,
2,
3,
4,
4,
2,
4,
4,
4,
3,
2,
5,
2,
4,
2,
2,
2,
4,
2,
2,
1,
2,
2,
2,
6,
2,
2,
2,
4,
4,
3,
3,
4,
5,
2,
3,
4,
2,
3,
2,
2,
3,
2,
2,
3,
3,
2,
2,
3,
4,
4,
2,
2,
3,
3,
6,
6,
3,
2,
4,
4,
4,
4,
3,
4,
2,
2,
4,
2,
3,
3,
2,
3,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
5,
3,
2,
3,
3,
2,
4,
4,
2,
2,
5,
4,
4,
3,
2,
4,
3,
2,
3,
4,
2,
2,
4,
2,
2,
2,
3,
3,
2,
3,
3,
5,
3,
3,
3,
2,
2,
4,
4,
3,
2,
2,
2,
3,
2,
2,
2,
3,
4,
4,
4,
4,
3,
3,
4,
4,
3,
2,
3,
3,
2,
2,
3,
7,
5,
2,
2,
3,
2,
3,
2,
4,
3,
3,
3,
2,
2,
2,
3,
3,
4,
2,
6,
4,
5,
4,
3,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
5,
4,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
2,
2,
6,
3,
2,
4,
4,
4,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
4,
3,
4,
2,
3,
3,
2,
3,
3,
3,
3,
4,
2,
2,
2,
3,
4,
3,
6,
2,
4,
3,
7,
4,
3,
5,
4,
5,
3,
3,
6,
4,
2,
3,
6,
4,
4,
4,
3,
4,
4,
2,
5,
4,
4,
4,
4,
5,
2,
4,
5,
3,
4,
2,
3,
4,
2,
3,
4,
2,
4,
6,
4,
2,
4,
4,
4,
3,
4,
2,
4,
4,
3,
2,
3,
3,
3,
3,
2,
3,
3,
2,
4,
5,
3,
4,
4,
2,
3,
2,
2,
5,
3,
4,
3,
3,
4,
4,
2,
2,
2,
4,
4,
4,
2,
2,
4,
4,
5,
3,
4,
2,
4,
4,
2,
2,
5,
3,
3,
2,
8,
3,
4,
4,
4,
5,
4,
4,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
4,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
7,
3,
3,
3,
3,
4,
3,
2,
4,
2,
4,
5,
3,
3,
3,
2,
3,
3,
3,
2,
2,
3,
2,
5,
4,
3,
2,
3,
2,
4,
4,
5,
2,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
3,
4,
6,
4,
2,
3,
3,
3,
5,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
4,
3,
3,
2,
3,
4,
4,
5,
2,
2,
4,
2,
2,
2,
4,
2,
4,
2,
4,
2,
4,
5,
2,
5,
4,
4,
3,
2,
3,
3,
2,
3,
3,
2,
2,
1,
3,
2,
4,
2,
4,
4,
3,
2,
2,
2,
5,
3,
3,
3,
4,
3,
3,
3,
3,
2,
4,
2,
4,
7,
4,
4,
2,
4,
4,
4,
4,
3,
5,
4,
5,
3,
3,
5,
5,
5,
5,
3,
2,
4,
2,
2,
2,
1,
3,
5,
5,
2,
3,
2,
3,
3,
3,
4,
2,
5,
2,
3,
3,
3,
2,
3,
4,
3,
3,
5,
2,
6,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
2,
2,
3,
4,
4,
3,
3,
4,
3,
2,
4,
2,
2,
2,
4,
4,
2,
4,
2,
3,
3,
3,
2,
2,
3,
3,
4,
4,
4,
3,
4,
2,
2,
3,
2,
3,
3,
3,
2,
4,
2,
5,
2,
3,
2,
4,
2,
4,
2,
3,
3,
2,
2,
4,
2,
4,
2,
5,
2,
3,
3,
3,
3,
3,
4,
4,
5,
4,
4,
4,
2,
4,
4,
4,
3,
3,
4,
3,
4,
4,
3,
4,
4,
2,
3,
2,
3,
3,
2,
4,
3,
6,
2,
3,
2,
4,
3,
2,
2,
2,
4,
4,
4,
4,
2,
3,
3,
2,
3,
4,
2,
5,
3,
3,
5,
3,
3,
3,
3,
3,
3,
2,
3,
3,
5,
4,
5,
3,
3,
4,
1,
3,
2,
2,
4,
2,
4,
4,
2,
3,
4,
2,
2,
2,
2,
2,
2,
3,
3,
4,
2,
2,
3,
4,
4,
2,
1,
4,
2,
3,
2,
2,
2,
2,
4,
4,
2,
4,
4,
2,
3,
2,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
4,
4,
4,
2,
4,
3,
2,
5,
2,
4,
3,
2,
4,
4,
4,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
7,
4,
3,
5,
7,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
5,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
3,
4,
4,
4,
4,
3,
2,
2,
4,
4,
5,
5,
5,
4,
5,
3,
2,
4,
6,
4,
4,
2,
4,
4,
4,
1,
4,
2,
4,
2,
4,
3,
2,
4,
2,
2,
2,
4,
4,
3,
3,
2,
3,
3,
3,
4,
2,
3,
2,
3,
2,
3,
3,
4,
2,
4,
5,
4,
4,
3,
2,
3,
5,
4,
5,
3,
2,
4,
4,
2,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
1,
4,
2,
3,
2,
3,
3,
3,
4,
4,
4,
2,
5,
2,
3,
3,
2,
2,
1,
2,
3,
9,
5,
3,
3,
5,
2,
2,
2,
3,
2,
2,
4,
2,
3,
3,
4,
3,
2,
2,
2,
1,
1,
3,
3,
3,
3,
2,
4,
4,
4,
4,
2,
3,
2,
2,
4,
3,
4,
2,
5,
4,
4,
2,
4,
2,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
5,
3,
3,
5,
2,
2,
1,
4,
2,
2,
4,
2,
3,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
5,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
2,
2,
3,
3,
2,
3,
4,
4,
6,
5,
2,
4,
4,
4,
4,
3,
4,
3,
3,
2,
2,
2,
4,
4,
6,
4,
3,
3,
3,
5,
4,
4,
4,
2,
3,
2,
4,
4,
4,
1,
1,
2,
2,
2,
2,
2,
2,
3,
4,
2,
4,
4,
4,
4,
4,
6,
4,
2,
5,
4,
3,
3,
4,
4,
4,
5,
4,
2,
8,
3,
8,
3,
3,
4,
2,
2,
2,
3,
2,
2,
5,
2,
2,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
5,
5,
3,
2,
4,
3,
2,
2,
2,
8,
2,
2,
2,
3,
2,
3,
4,
3,
4,
5,
4,
4,
2,
3,
5,
3,
3,
5,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
5,
5,
2,
2,
6,
2,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
5,
4,
2,
3,
3,
3,
4,
2,
2,
2,
3,
2,
2,
2,
3,
2,
3,
2,
3,
3,
4,
2,
2,
3,
4,
3,
2,
3,
3,
4,
3,
2,
4,
4,
3,
5,
4,
2,
2,
3,
3,
5,
2,
2,
3,
3,
2,
2,
3,
4,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
4,
6,
2,
4,
1,
5,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
2,
4,
4,
5,
2,
3,
3,
2,
4,
4,
4,
4,
2,
4,
3,
3,
3,
4,
4,
4,
3,
3,
4,
4,
3,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
2,
4,
2,
3,
3,
3,
3,
4,
4,
5,
4,
3,
4,
2,
2,
3,
2,
3,
1,
3,
2,
5,
5,
5,
5,
3,
6,
4,
4,
3,
3,
2,
3,
3,
6,
4,
2,
2,
4,
3,
2,
2,
3,
4,
4,
1,
4,
4,
8,
2,
2,
2,
2,
3,
5,
2,
2,
3,
2,
2,
4,
3,
3,
5,
3,
4,
3,
4,
5,
4,
2,
3,
4,
3,
4,
2,
3,
2,
4,
6,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
2,
8,
2,
2,
1,
4,
4,
4,
4,
3,
5,
4,
2,
4,
4,
2,
2,
3,
2,
3,
4,
2,
2,
2,
3,
3,
2,
2,
2,
7,
4,
4,
4,
2,
5,
4,
4,
2,
5,
3,
4,
2,
5,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
5,
5,
3,
4,
4,
3,
2,
4,
3,
3,
2,
4,
2,
4,
2,
3,
2,
2,
3,
4,
4,
4,
3,
4,
2,
4,
4,
2,
4,
6,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
3,
2,
4,
2,
3,
6,
8,
3,
6,
6,
4,
4,
2,
4,
4,
3,
4,
5,
4,
4,
4,
5,
5,
3,
5,
5,
3,
2,
1,
2,
3,
3,
2,
2,
2,
3,
3,
2,
7,
4,
3,
3,
3,
4,
2,
4,
2,
2,
3,
2,
3,
3,
3,
3,
4,
2,
2,
2,
4,
3,
4,
4,
3,
3,
3,
4,
4,
5,
5,
3,
3,
5,
3,
7,
2,
3,
2,
5,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
5,
3,
6,
3,
3,
3,
3,
1,
6,
5,
3,
4,
5,
4,
3,
3,
3,
4,
4,
4,
2,
2,
2,
3,
2,
5,
4,
3,
4,
3,
2,
3,
3,
3,
3,
3,
5,
5,
4,
4,
4,
3,
3,
2,
3,
5,
3,
3,
3,
4,
3,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
3,
2,
2,
2,
4,
2,
3,
4,
4,
4,
4,
3,
2,
2,
2,
4,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
3,
2,
4,
2,
2,
2,
4,
6,
3,
3,
3,
3,
3,
2,
2,
2,
7,
4,
2,
7,
4,
4,
3,
4,
4,
2,
3,
4,
4,
4,
4,
3,
2,
4,
3,
3,
3,
3,
2,
3,
3,
4,
4,
3,
3,
3,
5,
2,
1,
2,
2,
4,
4,
4,
3,
3,
2,
2,
4,
4,
4,
4,
3,
3,
4,
4,
4,
2,
2,
3,
3,
4,
4,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
3,
2,
3,
3,
2,
3,
3,
3,
2,
4,
4,
6,
4,
2,
3,
4,
3,
5,
4,
4,
4,
4,
2,
3,
2,
3,
2,
2,
3,
2,
2,
4,
4,
4,
2,
3,
3,
2,
4,
4,
2,
7,
6,
5,
5,
3,
4,
3,
2,
3,
2,
3,
3,
3,
5,
5,
4,
6,
4,
4,
3,
2,
4,
4,
4,
4,
5,
4,
5,
3,
5,
3,
4,
4,
4,
4,
3,
3,
3,
4,
3,
3,
2,
4,
2,
2,
2,
5,
3,
4,
3,
3,
3,
4,
4,
2,
2,
2,
2,
4,
4,
4,
2,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
4,
5,
2,
6,
3,
4,
3,
2,
4,
4,
6,
3,
3,
3,
3,
4,
4,
3,
3,
2,
2,
2,
2,
3,
6,
8,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
5,
4,
2,
3,
5,
3,
3,
4,
3,
3,
2,
2,
2,
4,
2,
4,
2,
3,
2,
2,
2,
3,
2,
3,
3,
6,
5,
3,
3,
2,
2,
3,
3,
3,
4,
5,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
3,
3,
3,
3,
2,
4,
2,
3,
3,
4,
3,
3,
2,
2,
4,
3,
4,
4,
4,
2,
2,
6,
2,
3,
7,
4,
4,
2,
4,
2,
2,
3,
2,
2,
2,
4,
2,
3,
1,
2,
4,
7,
3,
4,
4,
3,
2,
2,
4,
3,
2,
3,
3,
4,
2,
3,
2,
2,
4,
2,
3,
4,
4,
4,
4,
4,
2,
4,
2,
4,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
2,
2,
4,
2,
3,
2,
1,
2,
3,
4,
1,
4,
4,
3,
4,
4,
4,
3,
3,
3,
2,
4,
2,
3,
4,
4,
4,
4,
4,
3,
7,
5,
4,
2,
3,
6,
4,
4,
3,
3,
3,
4,
3,
4,
5,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
3,
5,
2,
4,
4,
4,
5,
2,
3,
3,
4,
2,
4,
4,
3,
4,
4,
4,
4,
4,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
3,
5,
6,
5,
5,
3,
4,
3,
4,
2,
2,
4,
4,
4,
4,
3,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
4,
4,
4,
5,
3,
2,
3,
3,
3,
2,
2,
3,
2,
4,
5,
4,
4,
3,
5,
2,
2,
2,
3,
3,
2,
3,
3,
5,
2,
2,
2,
2,
4,
2,
3,
5,
3,
6,
3,
4,
4,
4,
3,
3,
4,
5,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
3,
2,
3,
2,
3,
2,
8,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
3,
4,
4,
5,
2,
3,
3,
3,
3,
3,
6,
2,
2,
2,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
3,
5,
3,
4,
3,
3,
3,
6,
3,
3,
4,
2,
5,
4,
3,
3,
4,
4,
4,
4,
2,
2,
4,
2,
4,
4,
2,
4,
2,
4,
3,
2,
4,
3,
2,
2,
2,
2,
3,
3,
6,
4,
4,
3,
2,
2,
2,
4,
3,
3,
3,
4,
3,
4,
3,
2,
4,
2,
2,
2,
5,
2,
4,
2,
4,
4,
2,
4,
5,
3,
4,
3,
5,
3,
4,
4,
2,
5,
2,
2,
2,
4,
3,
4,
4,
4,
4,
5,
3,
2,
3,
4,
1,
3,
7,
2,
3,
6,
4,
4,
2,
5,
4,
2,
2,
3,
2,
2,
3,
2,
4,
3,
2,
5,
3,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
2,
4,
4,
4,
3,
3,
3,
6,
5,
5,
4,
3,
4,
4,
4,
4,
4,
5,
3,
2,
4,
4,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
4,
3,
3,
5,
2,
2,
2,
2,
3,
2,
3,
2,
3,
5,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
2,
3,
4,
5,
2,
5,
1,
1,
1,
1,
1,
1,
2,
2,
3,
3,
6,
4,
4,
6,
2,
2,
2,
2,
4,
3,
4,
5,
3,
7,
3,
4,
3,
3,
3,
3,
2,
2,
4,
4,
4,
3,
3,
2,
2,
3,
3,
2,
6,
4,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
2,
3,
3,
4,
4,
4,
4,
4,
2,
3,
3,
4,
5,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
3,
1,
2,
3,
4,
4,
5,
4,
2,
2,
4,
4,
4,
2,
4,
2,
5,
5,
5,
2,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
4,
2,
2,
4,
3,
4,
4,
3,
4,
4,
2,
4,
4,
4,
5,
3,
4,
3,
2,
2,
2,
4,
4,
2,
2,
4,
2,
2,
5,
2,
3,
2,
2,
2,
3,
4,
2,
2,
2,
4,
4,
3,
4,
4,
3,
3,
2,
2,
2,
4,
5,
4,
4,
4,
3,
3,
4,
2,
6,
2,
3,
3,
5,
3,
3,
4,
2,
2,
2,
6,
4,
3,
3,
5,
2,
5,
3,
2,
3,
3,
3,
2,
4,
2,
4,
2,
3,
3,
1,
2,
5,
3,
2,
5,
5,
2,
3,
2,
2,
3,
5,
5,
2,
2,
3,
3,
4,
3,
5,
2,
4,
4,
4,
5,
2,
4,
2,
3,
4,
4,
4,
3,
2,
2,
3,
3,
3,
2,
3,
3,
5,
1,
4,
4,
3,
3,
4,
4,
4,
3,
2,
2,
2,
3,
4,
4,
4,
4,
2,
3,
2,
3,
3,
5,
2,
2,
3,
4,
4,
3,
4,
2,
3,
4,
6,
3,
3,
4,
2,
3,
6,
3,
3,
3,
4,
4,
5,
4,
5,
3,
6,
6,
5,
2,
3,
3,
1,
4,
4,
3,
4,
2,
2,
4,
4,
5,
4,
4,
2,
2,
2,
5,
3,
3,
4,
3,
5,
4,
2,
2,
5,
4,
4,
2,
3,
5,
5,
5,
3,
3,
3,
3,
3,
4,
3,
5,
2,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
4,
3,
5,
4,
4,
3,
2,
2,
3,
6,
3,
3,
2,
2,
2,
2,
3,
4,
2,
2,
3,
2,
2,
4,
3,
3,
4,
4,
2,
2,
4,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
2,
4,
2,
2,
2,
2,
3,
3,
3,
4,
5,
4,
3,
3,
2,
2,
2,
2,
4,
4,
2,
2,
4,
3,
2,
4,
3,
3,
2,
4,
4,
4,
4,
4,
2,
3,
3,
2,
2,
3,
3,
4,
2,
3,
5,
5,
4,
7,
4,
2,
4,
4,
3,
4,
1,
2,
1,
3,
3,
2,
4,
4,
3,
5,
3,
4,
2,
3,
5,
4,
2,
2,
4,
3,
3,
2,
4,
4,
3,
3,
3,
3,
3,
4,
4,
2,
3,
2,
3,
3,
5,
2,
2,
4,
3,
2,
4,
1,
3,
2,
4,
5,
4,
5,
3,
2,
2,
2,
2,
4,
3,
4,
4,
4,
4,
5,
4,
3,
4,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
5,
2,
2,
3,
2,
3,
5,
3,
3,
4,
4,
4,
4,
3,
4,
4,
4,
2,
2,
2,
4,
4,
2,
4,
3,
2,
3,
3,
2,
4,
2,
3,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
2,
3,
3,
2,
3,
2,
3,
2,
3,
3,
3,
3,
5,
7,
4,
4,
3,
3,
3,
3,
4,
4,
3,
4,
2,
2,
3,
2,
2,
2,
2,
3,
4,
4,
3,
2,
5,
3,
4,
4,
2,
4,
5,
3,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
2,
3,
2,
3,
4,
4,
4,
2,
5,
5,
5,
3,
2,
2,
2,
2,
4,
2,
4,
3,
3,
3,
3,
4,
4,
4,
6,
4,
3,
4,
4,
4,
3,
4,
2,
2,
3,
3,
4,
4,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
3,
2,
2,
2,
3,
2,
4,
4,
2,
2,
2,
4,
5,
4,
4,
4,
3,
3,
2,
3,
4,
4,
5,
4,
4,
2,
2,
3,
5,
3,
3,
2,
3,
4,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
3,
3,
3,
5,
6,
3,
4,
4,
3,
2,
2,
2,
3,
2,
3,
2,
5,
2,
3,
3,
2,
3,
4,
3,
5,
2,
3,
4,
4,
4,
4,
4,
3,
2,
2,
2,
4,
4,
5,
3,
2,
5,
3,
2,
2,
5,
4,
2,
3,
5,
2,
2,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
4,
4,
1,
3,
2,
4,
4,
2,
3,
4,
4,
4,
2,
2,
4,
2,
4,
2,
2,
3,
2,
2,
3,
3,
2,
2,
3,
7,
2,
2,
5,
3,
3,
6,
2,
2,
2,
2,
2,
2,
2,
2,
7,
4,
5,
3,
4,
4,
8,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
5,
4,
4,
2,
5,
4,
4,
7,
5,
4,
4,
6,
7,
2,
3,
2,
4,
5,
4,
4,
4,
4,
2,
2,
1,
3,
4,
2,
3,
2,
4,
2,
2,
2,
2,
4,
2,
4,
4,
3,
4,
5,
2,
2,
4,
4,
7,
4,
5,
3,
4,
3,
3,
2,
3,
2,
5,
4,
2,
2,
2,
4,
2,
2,
2,
2,
4,
2,
4,
4,
2,
2,
4,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
2,
3,
1,
4,
4,
7,
5,
2,
2,
7,
2,
4,
4,
5,
3,
4,
2,
4,
2,
4,
4,
7,
4,
2,
2,
3,
3,
3,
4,
3,
1,
4,
3,
4,
5,
3,
2,
2,
3,
2,
3,
5,
2,
2,
2,
2,
2,
4,
2,
2,
4,
3,
2,
2,
2,
4,
4,
2,
2,
4,
3,
5,
5,
5,
4,
4,
3,
3,
4,
4,
4,
4,
1,
4,
3,
4,
2,
2,
5,
2,
2,
3,
1,
2,
3,
3,
5,
4,
2,
4,
4,
4,
4,
3,
3,
3,
7,
4,
2,
2,
2,
4,
4,
4,
2,
3,
5,
3,
2,
2,
2,
4,
3,
2,
3,
3,
3,
3,
3,
3,
4,
3,
5,
2,
2,
2,
3,
4,
2,
6,
2,
2,
2,
4,
3,
2,
3,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
6,
3,
4,
2,
4,
4,
5,
3,
3,
6,
4,
4,
3,
7,
3,
2,
2,
4,
4,
5,
3,
3,
3,
2,
2,
2,
4,
4,
3,
4,
4,
2,
4,
3,
3,
3,
2,
1,
3,
3,
1,
1,
3,
6,
4,
2,
2,
4,
3,
5,
3,
2,
3,
2,
1,
2,
2,
3,
1,
2,
2,
4,
2,
3,
2,
2,
2,
4,
4,
4,
4,
5,
5,
6,
6,
2,
1,
4,
2,
3,
3,
2,
2,
2,
4,
4,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
2,
3,
3,
4,
4,
4,
3,
4,
4,
2,
2,
2,
2,
2,
4,
2,
3,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
4,
5,
2,
3,
2,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
4,
2,
2,
4,
2,
2,
4,
3,
3,
4,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
2,
5,
5,
3,
5,
5,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
4,
4,
5,
3,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
4,
4,
3,
4,
4,
3,
2,
2,
2,
4,
3,
3,
2,
2,
3,
4,
7,
3,
2,
2,
3,
3,
2,
6,
3,
4,
3,
4,
3,
4,
6,
3,
2,
4,
2,
2,
6,
1,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
2,
3,
4,
2,
2,
2,
2,
3,
5,
2,
1,
2,
2,
4,
2,
4,
2,
4,
4,
6,
5,
3,
5,
3,
3,
4,
4,
4,
4,
2,
2,
3,
2,
2,
1,
3,
3,
7,
2,
2,
4,
3,
2,
3,
3,
4,
4,
3,
3,
5,
3,
2,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
5,
4,
4,
3,
2,
3,
2,
3,
3,
3,
3,
3,
2,
3,
4,
6,
4,
4,
4,
2,
4,
3,
4,
3,
4,
2,
4,
3,
4,
4,
3,
4,
3,
4,
3,
3,
4,
4,
2,
4,
2,
4,
1,
4,
4,
4,
7,
4,
3,
2,
2,
4,
5,
4,
3,
2,
3,
2,
2,
2,
3,
3,
2,
2,
1,
6,
4,
4,
2,
3,
2,
2,
3,
3,
4,
3,
3,
3,
2,
3,
3,
4,
2,
2,
2,
4,
2,
3,
3,
3,
5,
4,
4,
2,
2,
2,
3,
2,
4,
4,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
3,
2,
3,
3,
4,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
4,
2,
4,
2,
3,
3,
3,
3,
5,
4,
5,
4,
2,
1,
4,
3,
6,
4,
4,
2,
2,
2,
1,
2,
3,
4,
4,
5,
2,
4,
4,
2,
4,
2,
4,
4,
5,
3,
3,
2,
3,
3,
3,
5,
4,
2,
3,
5,
5,
3,
3,
4,
3,
5,
6,
4,
8,
5,
4,
2,
4,
4,
2,
1,
4,
4,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
5,
4,
6,
1,
7,
4,
2,
4,
2,
2,
3,
3,
3,
4,
4,
4,
2,
5,
4,
6,
3,
5,
4,
2,
1,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
4,
4,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
2,
4,
5,
5,
4,
4,
4,
2,
4,
2,
2,
5,
1,
3,
4,
4,
5,
4,
3,
5,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
2,
2,
1,
2,
2,
4,
4,
4,
5,
5,
4,
4,
2,
2,
2,
4,
4,
6,
2,
5,
4,
2,
4,
2,
2,
2,
2,
3,
2,
4,
4,
2,
2,
4,
2,
5,
4,
3,
4,
2,
1,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
4,
2,
2,
4,
3,
3,
3,
3,
3,
4,
2,
3,
2,
3,
3,
3,
3,
4,
5,
5,
4,
5,
2,
2,
3,
2,
2,
2,
3,
3,
4,
2,
4,
4,
2,
3,
2,
3,
2,
3,
3,
2,
3,
3,
3,
3,
2,
4,
4,
7,
2,
3,
3,
2,
5,
2,
3,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
2,
5,
6,
3,
3,
3,
2,
2,
2,
4,
2,
4,
2,
5,
8,
4,
6,
1,
2,
3,
2,
3,
5,
3,
4,
3,
2,
3,
2,
4,
3,
6,
3,
6,
6,
3,
4,
3,
2,
2,
3,
2,
2,
3,
2,
3,
4,
6,
4,
4,
4,
5,
5,
4,
3,
4,
4,
4,
3,
4,
2,
5,
2,
2,
3,
2,
3,
4,
3,
3,
3,
2,
1,
3,
3,
6,
6,
6,
4,
4,
4,
2,
3,
5,
5,
2,
3,
3,
3,
3,
4,
3,
1,
2,
6,
4,
4,
2,
4,
4,
4,
5,
4,
5,
2,
2,
4,
4,
4,
4,
6,
4,
3,
4,
3,
2,
2,
3,
2,
3,
2,
4,
2,
4,
3,
3,
4,
3,
3,
2,
3,
2,
4,
2,
3,
4,
4,
4,
2,
3,
4,
2,
3,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
1,
4,
2,
3,
2,
2,
3,
4,
2,
2,
3,
2,
5,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
4,
2,
2,
2,
3,
4,
4,
2,
4,
3,
2,
2,
1,
2,
2,
2,
4,
5,
4,
2,
3,
2,
5,
2,
1,
2,
4,
2,
3,
4,
4,
2,
4,
4,
3,
2,
1,
1,
1,
3,
2,
2,
3,
5,
2,
3,
6,
1,
1,
2,
2,
5,
2,
7,
2,
2,
4,
2,
2,
5,
3,
2,
4,
5,
4,
3,
3,
2,
2,
5,
5,
2,
4,
3,
2,
3,
3,
3,
3,
2,
4,
2,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
4,
3,
1,
2,
3,
2,
3,
5,
4,
3,
4,
2,
2,
5,
2,
4,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
3,
3,
3,
4,
4,
3,
2,
2,
3,
4,
2,
3,
2,
4,
4,
2,
3,
2,
4,
3,
2,
2,
2,
4,
3,
4,
2,
3,
2,
2,
2,
3,
2,
3,
4,
3,
4,
3,
5,
2,
4,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
6,
3,
2,
3,
3,
3,
2,
2,
4,
5,
4,
6,
3,
3,
5,
2,
2,
2,
3,
3,
2,
2,
2,
2,
4,
2,
4,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
4,
2,
2,
6,
4,
4,
3,
2,
4,
5,
3,
4,
2,
2,
3,
2,
4,
2,
5,
5,
5,
5,
3,
2,
5,
2,
2,
4,
4,
2,
3,
2,
4,
4,
2,
3,
4,
4,
3,
4,
5,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
4,
3,
2,
4,
2,
3,
3,
3,
2,
2,
2,
2,
3,
5,
2,
4,
5,
3,
2,
3,
2,
5,
4,
4,
4,
4,
7,
6,
3,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
2,
3,
3,
2,
3,
2,
3,
3,
6,
3,
2,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
5,
4,
4,
4,
2,
2,
2,
2,
3,
4,
2,
2,
3,
3,
3,
3,
3,
2,
2,
4,
2,
3,
3,
3,
2,
4,
3,
3,
2,
5,
4,
2,
3,
3,
2,
5,
4,
3,
2,
3,
4,
2,
2,
2,
4,
4,
4,
3,
2,
3,
2,
2,
3,
4,
4,
5,
3,
4,
3,
3,
4,
4,
3,
5,
2,
3,
4,
5,
2,
4,
4,
6,
7,
4,
4,
4,
4,
2,
2,
5,
4,
4,
3,
4,
3,
2,
4,
2,
2,
2,
2,
3,
2,
4,
4,
2,
2,
3,
2,
2,
4,
2,
3,
3,
3,
4,
2,
4,
3,
2,
3,
4,
3,
4,
2,
2,
2,
4,
4,
3,
2,
3,
4,
2,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
2,
4,
2,
6,
4,
4,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
3,
3,
2,
4,
3,
2,
2,
3,
4,
4,
4,
5,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
2,
3,
3,
3,
3,
2,
2,
3,
3,
2,
3,
2,
3,
4,
5,
3,
4,
2,
4,
2,
6,
5,
2,
2,
2,
3,
3,
3,
2,
3,
4,
6,
3,
5,
4,
3,
3,
2,
2,
2,
3,
3,
3,
5,
2,
3,
2,
3,
2,
2,
2,
2,
2,
3,
4,
1,
6,
4,
2,
5,
3,
2,
3,
4,
3,
3,
4,
4,
3,
3,
4,
4,
4,
2,
2,
3,
3,
4,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
2,
2,
4,
4,
3,
3,
4,
4,
1,
5,
3,
3,
2,
3,
2,
4,
3,
5,
2,
6,
4,
2,
4,
3,
3,
4,
2,
2,
2,
2,
3,
3,
5,
3,
6,
4,
4,
4,
3,
6,
2,
2,
2,
4,
2,
3,
4,
4,
4,
2,
2,
3,
3,
4,
3,
3,
3,
4,
3,
4,
4,
4,
4,
5,
4,
4,
3,
3,
3,
4,
2,
4,
5,
4,
2,
2,
2,
1,
3,
2,
1,
1,
6,
4,
5,
4,
4,
3,
3,
3,
2,
3,
3,
3,
3,
7,
3,
4,
5,
2,
2,
6,
4,
2,
2,
4,
2,
4,
2,
4,
4,
3,
3,
3,
2,
7,
2,
4,
3,
2,
3,
6,
2,
2,
2,
3,
4,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
2,
2,
2,
3,
4,
3,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
2,
2,
4,
2,
3,
2,
4,
5,
2,
2,
4,
3,
5,
3,
3,
6,
3,
3,
3,
3,
4,
4,
4,
2,
5,
4,
4,
2,
3,
1,
3,
4,
7,
3,
3,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
3,
4,
2,
8,
4,
2,
4,
3,
5,
2,
4,
3,
4,
2,
5,
3,
4,
4,
2,
3,
3,
3,
4,
2,
2,
2,
2,
1,
2,
2,
2,
3,
3,
2,
3,
4,
4,
6,
3,
2,
4,
9,
9,
5,
3,
3,
8,
6,
2,
3,
4,
1,
4,
5,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
2,
4,
2,
3,
2,
4,
5,
2,
1,
1,
1,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
2,
4,
2,
3,
2,
2,
2,
4,
2,
2,
4,
4,
5,
2,
3,
2,
4,
2,
2,
2,
5,
4,
4,
2,
5,
3,
4,
2,
2,
3,
4,
4,
3,
4,
2,
4,
3,
3,
3,
3,
4,
2,
2,
6,
6,
2,
2,
4,
4,
4,
3,
3,
3,
3,
4,
4,
4,
3,
4,
4,
3,
4,
3,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
6,
3,
3,
6,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
3,
2,
3,
3,
3,
2,
6,
2,
2,
4,
2,
3,
3,
2,
2,
2,
3,
6,
4,
2,
3,
4,
4,
4,
4,
2,
3,
4,
5,
4,
4,
4,
1,
4,
3,
1,
4,
4,
4,
8,
5,
2,
2,
2,
2,
3,
2,
5,
3,
2,
2,
3,
5,
2,
4,
4,
2,
4,
4,
2,
4,
2,
5,
4,
3,
3,
3,
2,
2,
2,
3,
4,
4,
6,
3,
4,
3,
4,
3,
3,
2,
3,
3,
3,
2,
4,
2,
5,
3,
3,
5,
4,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
4,
2,
4,
2,
2,
2,
3,
2,
2,
4,
2,
3,
3,
5,
5,
6,
4,
6,
5,
4,
2,
6,
3,
4,
4,
4,
4,
5,
4,
3,
3,
3,
3,
3,
5,
4,
4,
4,
4,
2,
2,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
1,
2,
2,
5,
4,
2,
1,
2,
2,
5,
3,
4,
4,
2,
2,
4,
2,
4,
4,
4,
4,
3,
2,
2,
3,
4,
5,
3,
3,
2,
2,
2,
2,
2,
7,
6,
3,
2,
2,
3,
2,
2,
3,
4,
3,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
5,
5,
4,
4,
3,
5,
2,
4,
4,
3,
3,
4,
3,
4,
5,
5,
3,
3,
3,
4,
2,
2,
3,
4,
3,
3,
3,
4,
5,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
3,
4,
4,
2,
3,
4,
3,
3,
5,
7,
6,
5,
6,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
5,
2,
3,
4,
2,
2,
4,
4,
3,
5,
2,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
3,
3,
3,
4,
2,
4,
2,
4,
2,
3,
7,
5,
6,
5,
4,
4,
3,
4,
4,
3,
3,
3,
4,
4,
5,
6,
4,
5,
3,
4,
4,
3,
5,
4,
5,
5,
4,
2,
4,
4,
3,
3,
2,
3,
3,
6,
2,
4,
3,
4,
2,
4,
2,
2,
3,
2,
2,
4,
4,
4,
3,
2,
4,
4,
5,
3,
3,
5,
4,
4,
4,
3,
3,
5,
2,
3,
3,
2,
3,
4,
3,
4,
3,
4,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
5,
4,
2,
2,
2,
2,
1,
3,
5,
2,
4,
2,
4,
4,
4,
4,
3,
3,
5,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
6,
6,
2,
2,
2,
3,
4,
5,
4,
3,
2,
2,
2,
7,
5,
6,
5,
3,
4,
2,
4,
4,
4,
2,
2,
4,
3,
4,
5,
3,
4,
2,
4,
4,
4,
4,
4,
3,
5,
2,
3,
2,
2,
3,
3,
4,
3,
1,
3,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
5,
3,
3,
4,
2,
4,
4,
3,
4,
4,
3,
3,
3,
5,
3,
4,
4,
3,
5,
2,
2,
2,
2,
4,
6,
4,
4,
4,
4,
3,
8,
3,
5,
2,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
3,
3,
7,
3,
5,
3,
2,
3,
7,
2,
3,
4,
4,
2,
3,
3,
2,
3,
4,
4,
4,
3,
4,
3,
3,
5,
4,
4,
2,
7,
2,
2,
2,
3,
3,
4,
4,
4,
2,
4,
2,
2,
4,
2,
3,
2,
5,
2,
3,
4,
3,
3,
3,
4,
4,
4,
2,
4,
4,
3,
3,
3,
2,
3,
5,
4,
4,
4,
4,
4,
2,
3,
2,
3,
5,
3,
6,
3,
2,
4,
4,
3,
5,
2,
3,
3,
5,
2,
2,
2,
6,
6,
4,
4,
4,
5,
2,
4,
2,
2,
2,
5,
3,
3,
2,
2,
3,
2,
4,
2,
2,
2,
2,
4,
3,
2,
4,
5,
4,
4,
4,
1,
1,
2,
4,
3,
2,
4,
2,
2,
2,
2,
5,
4,
4,
4,
2,
3,
2,
2,
4,
4,
3,
4,
4,
2,
4,
4,
2,
3,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
3,
2,
3,
3,
2,
2,
3,
3,
2,
2,
3,
2,
2,
3,
2,
4,
3,
3,
3,
4,
4,
3,
7,
4,
4,
2,
2,
2,
2,
3,
2,
3,
4,
3,
4,
3,
3,
2,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
2,
6,
5,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
5,
4,
6,
4,
4,
4,
4,
2,
2,
4,
4,
4,
2,
2,
3,
3,
4,
3,
3,
3,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
1,
3,
1,
5,
3,
6,
5,
4,
2,
2,
2,
2,
1,
3,
3,
3,
4,
7,
4,
5,
2,
3,
3,
3,
2,
4,
6,
3,
4,
4,
3,
7,
4,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
2,
2,
2,
3,
4,
3,
2,
4,
2,
4,
2,
3,
2,
4,
4,
2,
6,
3,
4,
3,
3,
3,
2,
2,
5,
4,
3,
4,
2,
2,
2,
2,
3,
2,
2,
4,
3,
2,
3,
5,
5,
4,
3,
3,
4,
5,
4,
4,
4,
4,
4,
2,
2,
1,
2,
4,
2,
2,
2,
2,
5,
3,
5,
4,
2,
2,
4,
2,
2,
2,
4,
3,
3,
2,
2,
4,
3,
2,
3,
4,
2,
2,
3,
3,
3,
2,
3,
3,
4,
4,
2,
4,
4,
4,
3,
3,
4,
3,
4,
4,
4,
4,
4,
3,
4,
4,
2,
4,
2,
3,
2,
4,
2,
6,
4,
4,
4,
3,
2,
3,
2,
4,
3,
4,
2,
2,
4,
2,
2,
4,
2,
4,
4,
4,
4,
3,
4,
4,
3,
3,
3,
2,
4,
2,
2,
2,
4,
3,
7,
2,
2,
2,
3,
4,
3,
3,
4,
4,
2,
3,
3,
3,
3,
4,
4,
3,
2,
2,
3,
3,
3,
4,
2,
2,
5,
4,
4,
4,
2,
2,
4,
4,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
6,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
4,
4,
4,
4,
3,
2,
2,
2,
2,
3,
2,
4,
2,
5,
2,
3,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
2,
4,
4,
4,
2,
3,
2,
3,
3,
3,
2,
3,
2,
2,
2,
2,
3,
2,
6,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
3,
3,
3,
2,
2,
4,
4,
2,
3,
4,
3,
4,
4,
2,
2,
5,
4,
5,
4,
4,
4,
2,
3,
2,
2,
3,
5,
3,
2,
4,
7,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
2,
3,
1,
1,
3,
1,
2,
4,
2,
4,
4,
4,
2,
3,
2,
2,
2,
3,
4,
3,
4,
2,
4,
2,
3,
3,
2,
3,
3,
3,
6,
6,
3,
3,
4,
5,
5,
2,
3,
3,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
3,
6,
3,
4,
2,
6,
3,
4,
4,
3,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
2,
2,
2,
6,
4,
2,
2,
2,
5,
3,
3,
3,
3,
4,
4,
4,
3,
3,
3,
4,
5,
3,
3,
7,
4,
4,
2,
2,
2,
2,
5,
3,
3,
3,
4,
3,
2,
2,
2,
4,
2,
4,
4,
4,
2,
2,
2,
3,
3,
6,
3,
3,
2,
3,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
5,
2,
2,
2,
2,
4,
3,
3,
7,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
3,
3,
3,
5,
6,
6,
2,
2,
2,
2,
4,
4,
4,
4,
3,
2,
3,
2,
4,
4,
1,
3,
2,
7,
3,
3,
2,
2,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
3,
4,
2,
4,
3,
2,
3,
3,
2,
3,
3,
4,
6,
4,
3,
3,
2,
2,
4,
3,
2,
2,
5,
4,
2,
2,
3,
4,
4,
2,
3,
3,
2,
3,
2,
2,
3,
3,
4,
3,
4,
2,
4,
1,
4,
3,
3,
4,
4,
4,
5,
2,
2,
2,
2,
6,
6,
4,
4,
4,
4,
4,
4,
5,
2,
2,
5,
4,
4,
2,
4,
2,
2,
2,
7,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
3,
3,
3,
2,
2,
4,
4,
3,
3,
5,
2,
4,
3,
4,
2,
2,
4,
2,
2,
2,
2,
2,
5,
2,
1,
4,
2,
4,
4,
4,
4,
4,
3,
1,
2,
5,
4,
4,
2,
2,
2,
2,
3,
2,
3,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
7,
2,
2,
2,
4,
4,
2,
3,
1,
2,
2,
3,
2,
2,
2,
2,
3,
4,
1,
2,
4,
6,
8,
4,
4,
3,
2,
3,
2,
3,
3,
4,
4,
3,
3,
2,
3,
3,
3,
3,
3,
4,
3,
2,
2,
4,
4,
1,
4,
4,
8,
4,
6,
3,
5,
3,
3,
5,
3,
4,
4,
4,
4,
3,
4,
3,
3,
3,
5,
4,
4,
2,
7,
4,
4,
3,
5,
6,
2,
4,
5,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
3,
3,
2,
4,
2,
4,
3,
3,
4,
4,
5,
3,
2,
3,
6,
3,
2,
6,
6,
3,
5,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
4,
3,
2,
4,
4,
4,
6,
1,
4,
4,
2,
3,
3,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
3,
3,
2,
3,
1,
1,
4,
3,
1,
4,
2,
2,
3,
5,
4,
2,
4,
3,
5,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
2,
2,
5,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
4,
4,
3,
2,
4,
2,
3,
3,
4,
2,
3,
4,
4,
2,
3,
4,
2,
3,
3,
3,
2,
1,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
4,
2,
2,
2,
2,
3,
4,
2,
1,
3,
2,
4,
4,
2,
3,
3,
2,
5,
5,
4,
5,
5,
4,
3,
1,
3,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
1,
2,
2,
2,
5,
3,
3,
4,
2,
4,
5,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
4,
4,
4,
3,
2,
3,
4,
4,
3,
2,
2,
3,
3,
4,
3,
5,
2,
4,
8,
4,
2,
2,
2,
2,
4,
3,
2,
5,
2,
3,
3,
2,
2,
2,
3,
4,
3,
2,
2,
2,
4,
2,
4,
3,
3,
5,
4,
6,
3,
2,
3,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
6,
4,
3,
3,
3,
6,
2,
2,
2,
3,
4,
3,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
2,
3,
4,
2,
4,
2,
3,
3,
5,
5,
4,
3,
4,
2,
2,
2,
2,
2,
6,
4,
4,
4,
4,
4,
3,
2,
2,
2,
3,
6,
2,
4,
4,
4,
2,
3,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
4,
3,
3,
4,
3,
2,
2,
4,
2,
2,
4,
2,
2,
1,
4,
3,
2,
4,
4,
2,
2,
4,
4,
3,
2,
4,
5,
7,
4,
1,
1,
2,
3,
1,
1,
6,
2,
3,
3,
3,
6,
12,
4,
4,
2,
2,
2,
4,
1,
4,
4,
3,
3,
2,
4,
3,
4,
4,
4,
4,
3,
3,
4,
2,
4,
4,
2,
3,
2,
4,
3,
4,
3,
4,
3,
4,
3,
3,
3,
5,
3,
2,
3,
3,
4,
4,
2,
2,
2,
4,
3,
4,
2,
4,
2,
3,
3,
3,
4,
2,
2,
3,
7,
4,
4,
3,
4,
4,
3,
3,
6,
5,
3,
3,
2,
4,
3,
4,
5,
3,
3,
2,
4,
2,
4,
4,
4,
4,
2,
2,
4,
3,
2,
2,
3,
3,
3,
5,
6,
5,
4,
6,
6,
2,
3,
5,
2,
2,
4,
3,
5,
4,
5,
4,
2,
2,
2,
4,
4,
2,
4,
2,
3,
2,
3,
3,
2,
4,
3,
4,
3,
2,
4,
3,
2,
3,
2,
2,
4,
4,
2,
4,
4,
3,
2,
3,
3,
1,
4,
4,
3,
3,
3,
3,
3,
5,
4,
2,
3,
4,
3,
2,
4,
2,
4,
5,
6,
3,
3,
3,
4,
2,
2,
4,
3,
2,
2,
4,
5,
2,
3,
2,
4,
4,
2,
2,
2,
3,
5,
3,
2,
2,
3,
4,
2,
3,
5,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
7,
5,
3,
4,
2,
4,
4,
3,
3,
2,
2,
2,
2,
2,
3,
6,
4,
2,
2,
4,
4,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
4,
4,
4,
4,
3,
2,
2,
2,
3,
3,
4,
2,
2,
2,
3,
3,
3,
2,
3,
4,
5,
2,
3,
2,
3,
6,
4,
4,
2,
2,
4,
4,
4,
2,
3,
5,
3,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
4,
3,
2,
3,
4,
4,
2,
4,
3,
2,
5,
3,
4,
2,
2,
5,
4,
4,
3,
6,
4,
4,
3,
2,
3,
3,
4,
3,
2,
3,
2,
4,
4,
4,
2,
2,
3,
3,
2,
2,
5,
3,
4,
4,
3,
3,
2,
2,
2,
4,
3,
2,
3,
2,
2,
2,
3,
3,
3,
2,
3,
5,
2,
3,
2,
3,
2,
3,
3,
5,
2,
7,
3,
2,
4,
1,
2,
2,
4,
4,
4,
4,
2,
2,
4,
2,
4,
4,
2,
4,
4,
3,
4,
4,
2,
2,
3,
2,
2,
2,
2,
3,
2,
4,
3,
3,
3,
2,
3,
4,
7,
2,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
5,
2,
2,
3,
5,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
5,
3,
3,
5,
3,
5,
2,
3,
4,
2,
6,
3,
2,
2,
3,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
8,
6,
3,
4,
4,
4,
2,
2,
2,
3,
3,
3,
2,
2,
3,
4,
6,
5,
6,
2,
3,
3,
3,
2,
3,
2,
2,
3,
2,
2,
2,
3,
2,
2,
7,
5,
4,
3,
2,
3,
3,
4,
3,
4,
7,
2,
2,
6,
6,
4,
2,
3,
2,
2,
4,
2,
1,
4,
4,
4,
3,
2,
4,
3,
5,
2,
4,
3,
2,
3,
3,
3,
1,
3,
3,
3,
3,
3,
2,
2,
3,
4,
2,
4,
4,
4,
3,
4,
4,
2,
2,
2,
4,
3,
3,
4,
4,
2,
4,
3,
4,
2,
2,
1,
2,
4,
4,
4,
4,
3,
2,
5,
3,
6,
2,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
4,
2,
1,
2,
2,
2,
2,
2,
5,
2,
2,
2,
2,
4,
2,
4,
4,
2,
4,
2,
2,
2,
2,
3,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
1,
2,
5,
2,
3,
2,
2,
4,
5,
5,
4,
4,
6,
6,
4,
4,
2,
2,
2,
2,
3,
4,
2,
2,
4,
6,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
4,
2,
2,
3,
4,
2,
3,
3,
3,
5,
4,
5,
3,
3,
3,
2,
6,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
2,
4,
4,
3,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
1,
6,
3,
3,
3,
3,
1,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
5,
4,
2,
2,
4,
4,
3,
4,
2,
2,
6,
3,
3,
2,
4,
4,
4,
5,
2,
3,
3,
2,
3,
4,
3,
3,
4,
5,
3,
3,
5,
4,
3,
2,
3,
3,
4,
2,
2,
2,
2,
3,
3,
4,
4,
2,
1,
4,
4,
5,
3,
4,
3,
7,
3,
4,
4,
2,
5,
5,
3,
2,
4,
2,
2,
3,
4,
4,
2,
2,
2,
3,
2,
2,
4,
5,
2,
3,
6,
5,
2,
4,
5,
3,
3,
3,
3,
2,
3,
3,
2,
2,
3,
3,
3,
2,
2,
3,
1,
3,
3,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
6,
4,
5,
4,
4,
4,
4,
2,
2,
4,
3,
3,
4,
4,
4,
4,
2,
3,
4,
4,
5,
6,
7,
3,
4,
3,
3,
4,
3,
3,
3,
3,
5,
7,
5,
5,
4,
3,
3,
3,
5,
3,
2,
5,
3,
3,
2,
2,
2,
2,
5,
3,
2,
4,
2,
3,
2,
4,
3,
4,
5,
3,
2,
2,
4,
2,
2,
4,
3,
6,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
3,
3,
4,
2,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
5,
4,
5,
4,
4,
3,
4,
6,
3,
3,
4,
7,
4,
2,
2,
2,
4,
3,
2,
3,
3,
3,
3,
2,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
4,
3,
2,
2,
2,
4,
4,
3,
5,
2,
2,
2,
4,
2,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
3,
2,
3,
2,
3,
6,
2,
2,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
3,
4,
2,
3,
2,
1,
2,
2,
2,
1,
3,
2,
2,
1,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
1,
3,
5,
4,
2,
3,
2,
2,
4,
3,
3,
3,
3,
3,
2,
4,
2,
4,
3,
4,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
3,
3,
3,
3,
4,
2,
1,
4,
4,
2,
2,
3,
3,
3,
2,
4,
2,
7,
2,
6,
4,
8,
4,
4,
2,
2,
4,
2,
4,
3,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
2,
3,
3,
3,
4,
4,
4,
2,
2,
3,
4,
1,
2,
1,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
5,
2,
3,
4,
3,
4,
2,
3,
2,
2,
3,
2,
2,
5,
5,
4,
5,
3,
2,
3,
2,
2,
2,
2,
3,
3,
2,
4,
2,
2,
4,
2,
4,
3,
4,
2,
4,
2,
3,
4,
2,
3,
3,
1,
2,
2,
2,
4,
2,
2,
2,
3,
4,
4,
4,
5,
3,
3,
4,
4,
4,
4,
4,
5,
3,
3,
3,
3,
2,
2,
4,
4,
3,
4,
4,
4,
3,
3,
4,
3,
2,
2,
3,
3,
4,
4,
5,
2,
5,
3,
4,
4,
3,
2,
2,
2,
2,
4,
4,
1,
3,
2,
4,
3,
6,
2,
4,
3,
2,
4,
3,
3,
3,
3,
2,
2,
3,
4,
5,
3,
2,
2,
2,
4,
1,
2,
3,
3,
2,
3,
2,
3,
3,
3,
4,
4,
7,
4,
2,
2,
2,
5,
4,
4,
3,
3,
5,
3,
3,
3,
4,
3,
3,
2,
2,
3,
5,
3,
2,
3,
5,
3,
2,
3,
4,
3,
2,
3,
2,
2,
4,
2,
2,
4,
2,
2,
4,
4,
4,
4,
4,
2,
4,
2,
2,
4,
4,
2,
2,
2,
3,
2,
2,
3,
4,
2,
2,
4,
3,
2,
3,
5,
3,
3,
2,
4,
1,
1,
1,
2,
1,
3,
3,
3,
3,
3,
4,
2,
4,
1,
4,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
2,
3,
3,
2,
2,
4,
2,
3,
4,
2,
4,
2,
3,
3,
3,
2,
2,
3,
4,
3,
3,
3,
3,
4,
3,
1,
4,
4,
4,
4,
4,
4,
1,
2,
2,
3,
2,
1,
1,
2,
2,
2,
2,
2,
2,
2,
3,
6,
5,
3,
3,
4,
3,
2,
3,
3,
3,
4,
2,
3,
2,
5,
3,
3,
2,
5,
3,
3,
3,
6,
3,
3,
2,
4,
3,
4,
4,
2,
3,
3,
3,
3,
2,
3,
4,
4,
6,
3,
2,
2,
2,
2,
2,
2,
4,
4,
5,
4,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
3,
2,
3,
4,
4,
4,
8,
5,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
6,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
4,
3,
3,
3,
2,
7,
2,
3,
4,
3,
2,
4,
2,
2,
3,
3,
2,
2,
4,
3,
4,
4,
4,
4,
2,
3,
3,
2,
2,
2,
4,
4,
3,
4,
2,
6,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
9,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
4,
2,
1,
4,
4,
2,
2,
5,
5,
5,
5,
2,
5,
3,
2,
2,
2,
3,
2,
4,
3,
2,
3,
2,
2,
4,
5,
5,
2,
4,
4,
5,
2,
2,
3,
5,
3,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
3,
2,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
1,
4,
2,
3,
3,
4,
4,
3,
3,
4,
2,
2,
3,
4,
4,
4,
2,
2,
2,
5,
6,
4,
4,
3,
4,
4,
3,
2,
2,
3,
3,
2,
2,
3,
3,
4,
4,
5,
4,
2,
3,
3,
3,
3,
2,
2,
4,
2,
2,
4,
4,
3,
3,
2,
3,
4,
2,
3,
3,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
5,
4,
2,
2,
2,
2,
3,
4,
5,
3,
4,
3,
2,
5,
3,
3,
3,
3,
5,
3,
2,
4,
2,
4,
2,
2,
3,
2,
4,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
3,
3,
2,
2,
5,
5,
3,
5,
2,
5,
3,
2,
3,
5,
5,
5,
5,
5,
3,
3,
4,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
5,
5,
2,
6,
2,
5,
6,
7,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
4,
2,
4,
5,
4,
4,
2,
5,
2,
2,
4,
3,
2,
2,
2,
2,
3,
3,
5,
2,
5,
5,
3,
2,
3,
2,
3,
3,
2,
5,
3,
2,
2,
4,
4,
4,
4,
2,
4,
2,
4,
4,
2,
4,
4,
4,
2,
4,
2,
4,
2,
3,
5,
3,
3,
2,
4,
5,
4,
4,
1,
5,
4,
3,
2,
3,
4,
2,
2,
4,
4,
4,
1,
3,
2,
2,
2,
2,
2,
4,
4,
3,
2,
3,
4,
2,
3,
4,
2,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
5,
3,
2,
5,
1,
4,
4,
4,
3,
3,
3,
1,
2,
1,
1,
3,
2,
4,
2,
2,
2,
2,
2,
3,
2,
4,
2,
1,
3,
2,
3,
2,
2,
4,
3,
3,
6,
5,
3,
4,
3,
3,
3,
5,
2,
3,
2,
4,
3,
3,
6,
2,
2,
6,
6,
3,
6,
5,
3,
3,
4,
4,
5,
4,
4,
2,
2,
4,
3,
3,
2,
5,
2,
4,
2,
2,
3,
3,
3,
4,
7,
3,
4,
4,
5,
2,
2,
1,
4,
4,
3,
1,
4,
3,
3,
3,
4,
4,
3,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
3,
3,
3,
1,
3,
2,
4,
5,
2,
3,
4,
4,
2,
4,
3,
4,
7,
3,
3,
3,
5,
4,
2,
3,
4,
4,
4,
2,
3,
3,
4,
3,
3,
3,
1,
2,
5,
3,
3,
7,
2,
4,
5,
4,
3,
3,
2,
2,
3,
2,
4,
4,
4,
2,
3,
4,
3,
3,
4,
4,
6,
4,
2,
3,
2,
3,
3,
3,
2,
2,
3,
2,
2,
2,
3,
3,
6,
2,
5,
4,
4,
2,
2,
4,
2,
4,
4,
2,
4,
4,
2,
4,
2,
2,
5,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
3,
6,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
3,
3,
2,
2,
2,
5,
3,
3,
3,
3,
2,
3,
5,
2,
1,
2,
2,
5,
3,
3,
3,
2,
4,
3,
2,
2,
3,
7,
4,
2,
4,
4,
4,
4,
2,
5,
3,
5,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
6,
2,
2,
5,
2,
3,
2,
4,
4,
4,
4,
3,
3,
4,
4,
3,
3,
3,
4,
3,
3,
4,
3,
4,
3,
3,
2,
4,
3,
1,
2,
3,
2,
5,
3,
2,
3,
4,
4,
3,
2,
2,
3,
5,
3,
4,
4,
2,
2,
2,
4,
3,
3,
2,
3,
2,
3,
3,
3,
4,
4,
4,
2,
4,
2,
2,
5,
6,
3,
4,
3,
6,
3,
3,
4,
4,
2,
4,
4,
3,
6,
4,
2,
5,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
4,
1,
3,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
3,
3,
2,
2,
2,
3,
3,
3,
4,
5,
2,
3,
2,
5,
2,
4,
5,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
2,
4,
2,
3,
4,
2,
2,
4,
2,
4,
2,
4,
2,
4,
4,
4,
4,
2,
3,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
5,
4,
2,
2,
4,
2,
4,
4,
3,
4,
4,
4,
4,
2,
1,
3,
3,
2,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
4,
2,
4,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
4,
3,
3,
3,
2,
4,
4,
3,
3,
3,
3,
6,
3,
3,
4,
4,
4,
4,
2,
2,
4,
2,
2,
5,
3,
4,
4,
5,
4,
5,
5,
5,
3,
4,
2,
5,
4,
3,
3,
4,
6,
4,
2,
2,
4,
2,
3,
3,
3,
3,
4,
3,
3,
4,
4,
5,
4,
4,
4,
2,
2,
2,
1,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
3,
2,
2,
2,
2,
3,
3,
3,
3,
2,
4,
2,
3,
2,
2,
2,
4,
2,
4,
4,
4,
4,
8,
4,
3,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
5,
5,
5,
2,
2,
4,
2,
2,
3,
2,
2,
2,
7,
4,
7,
6,
3,
5,
4,
5,
3,
4,
5,
2,
4,
4,
2,
5,
2,
3,
4,
2,
3,
4,
4,
5,
2,
3,
2,
2,
4,
4,
2,
2,
2,
3,
3,
2,
3,
2,
4,
4,
3,
4,
3,
3,
2,
4,
2,
2,
4,
4,
4,
2,
4,
2,
4,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
1,
2,
2,
2,
5,
2,
7,
7,
3,
3,
3,
3,
3,
4,
4,
5,
5,
4,
4,
5,
5,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
5,
5,
3,
2,
4,
2,
4,
4,
2,
4,
1,
2,
2,
2,
4,
3,
7,
5,
3,
2,
2,
2,
4,
4,
4,
5,
4,
3,
2,
5,
3,
1,
2,
2,
3,
4,
3,
2,
2,
2,
3,
3,
3,
3,
2,
3,
2,
2,
4,
2,
2,
4,
2,
4,
2,
4,
2,
2,
4,
2,
2,
2,
6,
3,
3,
2,
5,
5,
5,
2,
4,
1,
2,
5,
2,
3,
2,
4,
2,
3,
3,
2,
3,
3,
3,
4,
4,
2,
6,
3,
2,
3,
2,
4,
4,
2,
2,
2,
3,
4,
4,
4,
3,
2,
5,
2,
4,
2,
4,
2,
3,
2,
2,
5,
3,
3,
4,
4,
2,
2,
2,
3,
2,
4,
5,
4,
4,
2,
2,
3,
3,
2,
2,
2,
2,
3,
2,
4,
2,
3,
2,
2,
2,
2,
4,
3,
2,
2,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
6,
3,
6,
2,
4,
5,
3,
4,
4,
3,
5,
4,
3,
3,
3,
3,
5,
2,
2,
4,
3,
2,
2,
2,
4,
3,
4,
3,
3,
2,
2,
2,
2,
4,
3,
4,
3,
3,
3,
4,
3,
6,
4,
2,
2,
2,
3,
2,
3,
3,
4,
4,
4,
2,
3,
2,
2,
2,
2,
4,
4,
2,
5,
4,
3,
3,
2,
2,
4,
5,
3,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
5,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
3,
4,
4,
3,
3,
2,
1,
2,
2,
4,
2,
4,
6,
3,
3,
4,
2,
3,
4,
4,
2,
4,
2,
3,
4,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
3,
5,
5,
5,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
4,
3,
2,
4,
3,
4,
4,
2,
2,
3,
4,
4,
5,
4,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
3,
3,
3,
3,
4,
2,
3,
4,
2,
3,
2,
2,
3,
2,
2,
4,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
5,
3,
3,
3,
4,
3,
2,
2,
1,
3,
3,
3,
3,
2,
2,
5,
3,
2,
4,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
3,
3,
4,
3,
2,
4,
2,
2,
3,
3,
4,
2,
3,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
2,
3,
2,
2,
3,
3,
4,
2,
3,
3,
2,
2,
4,
2,
2,
3,
3,
4,
3,
2,
2,
6,
3,
3,
2,
6,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
4,
3,
2,
2,
2,
2,
2,
3,
3,
7,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
3,
4,
4,
4,
2,
2,
4,
2,
4,
4,
4,
2,
4,
3,
4,
3,
4,
4,
4,
4,
2,
4,
4,
6,
4,
3,
3,
3,
4,
4,
4,
5,
4,
4,
2,
3,
3,
3,
2,
2,
3,
3,
3,
3,
4,
5,
3,
6,
2,
2,
5,
3,
3,
2,
3,
4,
2,
2,
8,
2,
5,
5,
4,
3,
3,
4,
4,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
1,
3,
2,
1,
2,
2,
1,
2,
2,
3,
3,
3,
3,
3,
2,
3,
4,
3,
3,
3,
6,
3,
3,
4,
4,
2,
4,
2,
3,
4,
4,
3,
4,
4,
2,
3,
2,
2,
2,
3,
4,
4,
4,
4,
5,
2,
3,
4,
4,
4,
2,
3,
3,
2,
2,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
6,
6,
4,
4,
4,
2,
2,
2,
3,
6,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
5,
3,
3,
5,
5,
6,
2,
4,
2,
2,
3,
4,
2,
2,
2,
4,
3,
3,
2,
4,
2,
2,
2,
3,
3,
2,
2,
3,
4,
3,
4,
4,
4,
4,
2,
2,
2,
5,
4,
4,
3,
2,
2,
5,
4,
4,
4,
2,
2,
4,
3,
2,
4,
3,
2,
3,
3,
2,
3,
2,
2,
2,
2,
1,
3,
2,
2,
2,
3,
7,
2,
2,
4,
4,
6,
2,
3,
4,
5,
5,
2,
3,
3,
2,
4,
4,
4,
4,
2,
2,
3,
4,
3,
2,
2,
3,
3,
3,
2,
5,
4,
4,
4,
4,
4,
4,
3,
5,
5,
5,
2,
4,
2,
2,
4,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
3,
3,
3,
2,
3,
4,
4,
4,
1,
4,
3,
3,
2,
4,
4,
4,
2,
4,
4,
3,
2,
2,
2,
1,
2,
4,
4,
3,
6,
2,
2,
2,
2,
3,
3,
2,
3,
4,
4,
5,
5,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
4,
3,
2,
3,
4,
4,
2,
3,
2,
3,
2,
2,
4,
4,
3,
2,
4,
4,
2,
3,
4,
3,
3,
4,
4,
4,
3,
3,
2,
4,
3,
4,
4,
3,
4,
3,
2,
5,
2,
2,
2,
4,
4,
2,
5,
3,
3,
5,
3,
3,
4,
3,
2,
2,
2,
4,
3,
3,
4,
3,
2,
2,
4,
3,
5,
4,
6,
3,
5,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
6,
4,
4,
4,
4,
4,
2,
2,
3,
4,
2,
3,
6,
4,
6,
4,
2,
2,
2,
3,
4,
7,
3,
4,
3,
3,
3,
3,
4,
4,
2,
4,
3,
2,
4,
5,
5,
4,
4,
2,
2,
5,
3,
3,
7,
3,
3,
4,
4,
3,
4,
4,
4,
4,
4,
3,
4,
3,
3,
2,
3,
2,
1,
3,
3,
3,
1,
3,
3,
1,
2,
2,
3,
2,
2,
4,
5,
2,
3,
4,
2,
3,
3,
2,
2,
2,
2,
3,
4,
3,
3,
2,
3,
2,
3,
3,
2,
4,
2,
4,
4,
2,
4,
4,
4,
3,
6,
3,
2,
6,
5,
2,
3,
2,
2,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
4,
2,
4,
3,
3,
3,
5,
4,
4,
3,
2,
4,
3,
3,
2,
2,
2,
2,
3,
4,
3,
2,
4,
3,
2,
2,
3,
4,
2,
3,
2,
3,
2,
2,
3,
3,
3,
2,
3,
4,
2,
3,
1,
3,
4,
6,
2,
3,
3,
2,
2,
2,
4,
2,
2,
2,
2,
1,
2,
5,
3,
4,
2,
4,
4,
3,
4,
3,
4,
3,
6,
5,
2,
3,
2,
2,
2,
3,
3,
2,
2,
3,
2,
3,
2,
6,
4,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
6,
3,
2,
3,
2,
4,
2,
2,
4,
4,
2,
3,
3,
3,
3,
2,
2,
2,
3,
2,
3,
3,
3,
1,
2,
2,
4,
4,
4,
3,
4,
6,
4,
4,
4,
2,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
4,
2,
4,
4,
4,
2,
3,
2,
4,
4,
4,
4,
4,
5,
4,
3,
4,
2,
4,
4,
2,
2,
4,
4,
3,
4,
2,
3,
3,
5,
2,
2,
3,
3,
2,
3,
2,
5,
2,
4,
4,
4,
3,
6,
3,
3,
4,
3,
3,
3,
2,
1,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
5,
5,
3,
4,
4,
5,
4,
3,
2,
2,
4,
2,
3,
3,
3,
3,
4,
3,
2,
3,
3,
4,
4,
1,
5,
5,
5,
2,
4,
2,
2,
3,
4,
2,
3,
3,
4,
2,
3,
2,
3,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
3,
5,
5,
5,
3,
3,
2,
3,
5,
5,
4,
3,
2,
8,
3,
2,
4,
3,
3,
2,
4,
2,
4,
2,
3,
3,
3,
3,
4,
4,
4,
2,
3,
3,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
1,
2,
3,
2,
3,
5,
2,
6,
2,
4,
4,
2,
4,
2,
2,
1,
2,
2,
4,
4,
4,
5,
4,
2,
2,
2,
2,
4,
4,
5,
2,
2,
2,
2,
1,
1,
3,
2,
3,
3,
5,
1,
3,
4,
3,
3,
3,
2,
3,
4,
3,
2,
4,
4,
4,
4,
3,
3,
3,
2,
4,
4,
3,
3,
2,
4,
3,
3,
5,
4,
6,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
2,
2,
2,
4,
3,
5,
5,
5,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
5,
4,
6,
3,
4,
4,
2,
3,
4,
2,
2,
2,
3,
3,
2,
3,
2,
3,
3,
2,
4,
2,
2,
2,
3,
2,
2,
4,
3,
2,
2,
3,
4,
3,
3,
4,
5,
4,
4,
3,
2,
2,
2,
2,
3,
2,
3,
2,
6,
4,
4,
4,
4,
2,
2,
2,
2,
6,
4,
4,
5,
2,
2,
2,
4,
2,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
7,
3,
3,
6,
6,
2,
3,
3,
2,
2,
2,
2,
5,
8,
2,
2,
4,
6,
5,
3,
2,
3,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
6,
5,
4,
3,
4,
4,
2,
6,
2,
3,
4,
2,
2,
3,
3,
1,
2,
3,
3,
1,
3,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
3,
4,
3,
3,
3,
3,
6,
4,
4,
3,
3,
3,
2,
3,
3,
2,
3,
2,
2,
2,
4,
2,
2,
2,
6,
2,
3,
3,
4,
4,
4,
4,
3,
6,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
2,
3,
2,
2,
4,
4,
3,
2,
4,
4,
3,
3,
2,
4,
4,
3,
3,
4,
2,
3,
4,
3,
2,
4,
4,
4,
4,
4,
4,
2,
2,
3,
5,
3,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
3,
4,
2,
3,
3,
2,
2,
6,
2,
2,
3,
3,
5,
5,
5,
5,
4,
5,
4,
4,
4,
3,
4,
2,
3,
2,
2,
2,
2,
4,
3,
5,
4,
4,
2,
2,
4,
4,
4,
4,
2,
3,
2,
2,
4,
5,
2,
3,
2,
4,
3,
3,
3,
5,
3,
3,
5,
3,
4,
3,
4,
3,
3,
3,
2,
3,
4,
4,
3,
4,
2,
2,
3,
2,
3,
2,
4,
3,
6,
2,
5,
4,
4,
3,
2,
2,
3,
3,
2,
2,
5,
1,
3,
1,
2,
3,
3,
3,
4,
1,
4,
5,
4,
4,
2,
2,
3,
3,
4,
4,
3,
4,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
2,
3,
2,
4,
2,
3,
3,
3,
2,
3,
3,
3,
4,
2,
5,
4,
3,
2,
1,
3,
3,
4,
2,
4,
2,
2,
2,
3,
2,
3,
3,
4,
2,
4,
2,
2,
2,
3,
3,
5,
5,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
5,
4,
6,
2,
6,
4,
5,
2,
1,
3,
2,
3,
1,
6,
4,
3,
4,
2,
1,
2,
5,
2,
2,
3,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
6,
3,
3,
2,
2,
2,
3,
2,
3,
2,
3,
3,
3,
5,
5,
5,
5,
5,
3,
5,
3,
3,
2,
4,
4,
5,
3,
4,
4,
4,
4,
3,
6,
3,
5,
2,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
2,
4,
2,
4,
3,
4,
2,
4,
3,
3,
4,
2,
5,
3,
4,
3,
3,
2,
4,
4,
3,
4,
4,
6,
3,
3,
2,
3,
2,
3,
3,
3,
3,
2,
3,
2,
3,
4,
3,
4,
4,
5,
2,
4,
3,
4,
4,
4,
3,
4,
7,
4,
3,
4,
2,
4,
4,
2,
6,
5,
4,
3,
2,
3,
5,
4,
4,
7,
4,
4,
4,
3,
4,
4,
4,
4,
3,
2,
2,
2,
2,
1,
2,
3,
4,
2,
2,
2,
3,
3,
2,
4,
4,
2,
2,
3,
3,
4,
9,
5,
5,
8,
4,
4,
5,
4,
2,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
4,
4,
3,
4,
4,
4,
2,
6,
2,
4,
3,
3,
3,
4,
4,
2,
4,
4,
4,
4,
2,
2,
2,
2,
5,
3,
3,
3,
5,
3,
5,
5,
4,
5,
4,
5,
4,
4,
2,
2,
4,
2,
2,
3,
3,
3,
2,
4,
3,
2,
2,
3,
2,
3,
4,
4,
4,
2,
2,
4,
2,
2,
3,
2,
4,
3,
2,
2,
4,
4,
2,
4,
4,
3,
6,
2,
2,
6,
3,
3,
3,
3,
2,
4,
4,
4,
4,
6,
3,
1,
2,
2,
2,
5,
2,
4,
2,
3,
3,
2,
2,
4,
4,
4,
4,
4,
7,
4,
3,
4,
4,
3,
6,
3,
3,
2,
5,
4,
3,
3,
5,
3,
5,
5,
5,
2,
4,
5,
4,
4,
3,
6,
2,
7,
5,
3,
4,
2,
2,
4,
4,
2,
3,
4,
4,
2,
4,
4,
3,
2,
2,
4,
2,
4,
2,
4,
3,
4,
4,
3,
2,
2,
2,
2,
2,
3,
8,
3,
3,
1,
1,
1,
3,
5,
4,
4,
2,
3,
3,
2,
6,
5,
4,
4,
4,
3,
2,
2,
2,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
3,
5,
6,
6,
6,
3,
4,
4,
4,
4,
4,
3,
3,
3,
4,
2,
2,
3,
2,
3,
5,
6,
3,
4,
3,
2,
4,
1,
3,
4,
4,
4,
2,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
4,
2,
2,
3,
3,
2,
3,
4,
2,
2,
3,
3,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
4,
4,
1,
2,
4,
4,
4,
3,
3,
3,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
2,
3,
5,
4,
7,
4,
3,
4,
2,
2,
4,
2,
2,
2,
2,
3,
2,
4,
4,
4,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
5,
3,
3,
2,
3,
3,
4,
3,
2,
3,
4,
2,
2,
2,
2,
2,
4,
3,
2,
1,
3,
2,
2,
2,
4,
4,
3,
3,
2,
3,
2,
3,
2,
3,
2,
3,
3,
2,
2,
3,
2,
3,
4,
3,
2,
3,
2,
2,
3,
1,
2,
2,
2,
2,
3,
4,
4,
4,
6,
3,
3,
3,
4,
4,
4,
4,
5,
4,
4,
6,
4,
4,
3,
3,
6,
3,
3,
3,
3,
3,
5,
3,
3,
2,
2,
3,
3,
2,
2,
2,
3,
4,
4,
4,
5,
3,
7,
5,
3,
4,
2,
2,
2,
3,
2,
2,
2,
3,
2,
3,
3,
2,
5,
2,
2,
2,
2,
4,
3,
3,
3,
2,
4,
4,
2,
2,
3,
2,
2,
4,
6,
2,
2,
2,
4,
3,
3,
2,
2,
2,
4,
4,
2,
4,
4,
4,
2,
7,
2,
6,
3,
2,
1,
2,
3,
2,
4,
5,
3,
2,
2,
2,
3,
5,
4,
2,
2,
2,
2,
2,
5,
2,
4,
3,
4,
4,
3,
2,
4,
7,
4,
3,
3,
2,
2,
2,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
5,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
5,
2,
3,
3,
2,
2,
2,
2,
4,
2,
3,
3,
6,
7,
2,
2,
3,
4,
8,
7,
2,
2,
3,
3,
4,
1,
2,
3,
3,
4,
3,
3,
3,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
3,
3,
4,
4,
3,
4,
2,
2,
2,
2,
3,
2,
3,
3,
2,
2,
3,
2,
2,
1,
2,
2,
2,
2,
5,
3,
3,
3,
2,
3,
4,
2,
4,
3,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
2,
4,
3,
2,
2,
4,
4,
4,
2,
4,
2,
1,
2,
2,
3,
4,
2,
3,
3,
3,
4,
4,
4,
3,
5,
4,
2,
4,
2,
4,
2,
2,
2,
3,
2,
4,
3,
3,
3,
3,
4,
3,
2,
2,
3,
2,
2,
2,
2,
4,
3,
2,
3,
3,
3,
7,
4,
2,
4,
6,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
4,
3,
3,
5,
6,
5,
6,
5,
4,
2,
2,
6,
2,
2,
2,
3,
3,
2,
4,
2,
2,
6,
7,
2,
2,
4,
5,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
6,
2,
2,
2,
2,
4,
4,
3,
6,
6,
4,
4,
4,
4,
4,
2,
2,
4,
3,
2,
4,
5,
3,
4,
4,
5,
3,
2,
3,
4,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
4,
1,
5,
5,
5,
4,
3,
3,
3,
3,
6,
3,
4,
2,
2,
4,
4,
4,
4,
7,
2,
7,
3,
3,
4,
3,
3,
4,
5,
3,
3,
6,
5,
3,
3,
5,
2,
2,
2,
2,
4,
4,
3,
2,
4,
2,
4,
3,
4,
2,
2,
2,
2,
1,
2,
2,
1,
3,
2,
4,
4,
2,
2,
5,
2,
5,
2,
3,
3,
3,
4,
2,
2,
5,
4,
2,
3,
6,
2,
2,
2,
3,
2,
1,
2,
2,
3,
3,
2,
2,
3,
4,
2,
3,
4,
2,
3,
3,
3,
3,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
5,
6,
4,
5,
2,
3,
5,
3,
3,
2,
5,
2,
2,
2,
2,
2,
3,
4,
3,
4,
2,
7,
3,
4,
4,
4,
4,
6,
4,
3,
4,
3,
2,
4,
4,
4,
2,
6,
4,
3,
3,
4,
6,
2,
6,
4,
3,
3,
4,
5,
5,
3,
3,
2,
7,
2,
3,
3,
4,
4,
3,
4,
5,
3,
4,
3,
3,
3,
3,
3,
3,
2,
5,
4,
5,
2,
2,
2,
5,
2,
7,
2,
3,
3,
3,
3,
4,
4,
3,
3,
2,
1,
3,
3,
3,
3,
5,
3,
5,
2,
2,
5,
3,
4,
4,
2,
2,
3,
3,
5,
6,
3,
3,
3,
3,
6,
4,
5,
4,
2,
4,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
2,
3,
1,
3,
3,
3,
4,
2,
7,
4,
4,
3,
4,
3,
2,
2,
2,
3,
3,
2,
4,
6,
3,
3,
5,
4,
5,
2,
2,
4,
4,
3,
2,
2,
2,
3,
2,
2,
2,
4,
5,
6,
4,
5,
4,
5,
3,
6,
3,
3,
3,
3,
3,
2,
4,
4,
2,
2,
4,
3,
4,
4,
4,
3,
4,
3,
2,
3,
4,
4,
4,
4,
3,
2,
2,
2,
2,
4,
4,
3,
3,
3,
9,
4,
2,
2,
2,
3,
3,
6,
2,
4,
3,
3,
3,
2,
6,
2,
2,
3,
3,
3,
4,
3,
3,
3,
5,
3,
3,
3,
5,
4,
5,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
2,
3,
4,
5,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
1,
2,
4,
4,
3,
4,
2,
4,
2,
3,
3,
4,
4,
3,
4,
2,
4,
2,
3,
2,
3,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
4,
2,
2,
4,
4,
6,
4,
2,
2,
4,
4,
2,
2,
2,
2,
3,
3,
3,
4,
3,
5,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
6,
4,
7,
3,
4,
4,
3,
4,
4,
5,
4,
3,
2,
2,
4,
4,
4,
4,
4,
2,
2,
5,
4,
2,
3,
3,
4,
2,
2,
2,
2,
2,
5,
4,
2,
3,
2,
4,
4,
2,
3,
2,
3,
3,
4,
3,
4,
5,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
4,
3,
4,
4,
5,
5,
3,
4,
3,
5,
2,
4,
3,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
3,
2,
3,
2,
3,
2,
3,
4,
3,
3,
2,
3,
5,
2,
2,
4,
4,
2,
3,
4,
3,
3,
4,
7,
2,
6,
6,
5,
4,
4,
3,
2,
4,
3,
3,
2,
5,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
2,
3,
5,
2,
2,
8,
2,
4,
4,
4,
4,
4,
2,
4,
6,
2,
3,
2,
2,
3,
3,
3,
4,
1,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
4,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
7,
3,
4,
4,
3,
4,
4,
4,
5,
3,
4,
3,
2,
4,
2,
2,
4,
3,
2,
2,
4,
4,
6,
3,
4,
5,
4,
3,
3,
2,
3,
2,
2,
2,
2,
3,
3,
4,
4,
2,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
5,
3,
1,
1,
4,
2,
3,
3,
3,
2,
4,
4,
4,
4,
3,
4,
4,
2,
4,
2,
2,
4,
4,
4,
2,
2,
4,
2,
3,
3,
5,
7,
5,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
6,
4,
4,
3,
4,
3,
3,
3,
2,
2,
4,
4,
4,
2,
4,
2,
5,
6,
4,
4,
3,
5,
5,
3,
4,
3,
2,
2,
3,
4,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
6,
3,
5,
5,
4,
4,
4,
2,
3,
2,
2,
3,
2,
2,
6,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
5,
2,
3,
6,
2,
3,
4,
5,
2,
2,
3,
3,
2,
3,
4,
4,
2,
2,
4,
4,
4,
4,
3,
3,
4,
3,
2,
2,
2,
6,
4,
4,
4,
4,
3,
2,
3,
4,
3,
2,
3,
3,
3,
3,
4,
3,
2,
2,
3,
2,
2,
2,
3,
5,
4,
4,
6,
2,
4,
3,
3,
2,
2,
2,
4,
2,
4,
2,
3,
4,
4,
5,
3,
4,
1,
2,
5,
5,
5,
4,
2,
2,
4,
2,
5,
8,
2,
2,
4,
2,
5,
6,
4,
4,
4,
3,
4,
3,
4,
3,
2,
3,
3,
3,
2,
2,
2,
4,
4,
2,
2,
4,
4,
4,
4,
3,
2,
2,
2,
4,
2,
2,
3,
3,
2,
2,
4,
4,
2,
2,
3,
2,
6,
5,
3,
8,
4,
3,
2,
4,
3,
3,
2,
4,
4,
4,
2,
2,
2,
5,
4,
3,
2,
2,
3,
2,
2,
3,
3,
3,
5,
3,
3,
3,
2,
3,
2,
4,
3,
3,
4,
4,
2,
2,
3,
3,
3,
3,
2,
2,
3,
4,
3,
3,
2,
4,
3,
1,
2,
4,
2,
2,
4,
4,
3,
6,
3,
2,
3,
6,
3,
4,
5,
2,
4,
5,
5,
5,
4,
2,
4,
2,
2,
3,
4,
3,
5,
3,
3,
2,
2,
2,
2,
2,
3,
4,
3,
2,
4,
3,
2,
3,
4,
4,
4,
4,
4,
5,
4,
4,
3,
5,
2,
3,
3,
2,
4,
4,
2,
2,
2,
2,
5,
5,
3,
2,
3,
4,
2,
2,
4,
4,
2,
5,
7,
3,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
4,
4,
2,
3,
3,
3,
2,
3,
5,
5,
3,
2,
3,
2,
2,
4,
2,
4,
4,
2,
2,
3,
2,
3,
2,
2,
2,
3,
3,
3,
2,
2,
1,
2,
4,
6,
4,
4,
5,
4,
2,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
4,
2,
5,
5,
3,
4,
4,
2,
1,
3,
3,
1,
7,
4,
4,
2,
2,
4,
4,
5,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
1,
3,
3,
3,
2,
2,
4,
2,
3,
4,
2,
3,
2,
4,
1,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
4,
4,
2,
4,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
5,
3,
3,
4,
4,
3,
3,
3,
4,
3,
4,
3,
4,
4,
3,
2,
3,
3,
5,
2,
2,
2,
2,
4,
2,
3,
4,
3,
2,
3,
3,
2,
2,
3,
4,
4,
4,
4,
3,
3,
4,
2,
4,
2,
3,
3,
4,
4,
4,
4,
2,
2,
7,
2,
2,
6,
4,
4,
4,
4,
2,
2,
4,
3,
4,
2,
3,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
2,
3,
4,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
3,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
5,
3,
3,
3,
5,
4,
4,
4,
3,
5,
3,
2,
4,
4,
3,
4,
4,
5,
4,
2,
3,
3,
2,
4,
2,
3,
4,
4,
3,
2,
3,
2,
3,
3,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
3,
3,
3,
4,
4,
3,
3,
5,
2,
2,
1,
1,
2,
2,
5,
4,
4,
4,
3,
2,
3,
2,
2,
2,
2,
4,
2,
4,
4,
4,
2,
3,
4,
2,
4,
2,
2,
2,
3,
4,
5,
5,
2,
2,
2,
3,
2,
2,
3,
2,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
3,
3,
2,
2,
4,
2,
6,
2,
4,
4,
4,
3,
3,
2,
3,
4,
3,
2,
3,
5,
8,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
4,
2,
4,
4,
4,
4,
4,
3,
4,
4,
3,
3,
3,
2,
5,
2,
3,
4,
4,
4,
7,
4,
2,
4,
2,
4,
3,
3,
3,
2,
3,
5,
3,
3,
3,
2,
2,
2,
2,
2,
4,
6,
4,
6,
2,
2,
2,
4,
4,
4,
3,
3,
4,
2,
4,
3,
3,
2,
3,
3,
2,
2,
2,
1,
2,
2,
3,
3,
1,
3,
3,
2,
5,
5,
2,
2,
4,
2,
2,
3,
4,
2,
2,
4,
3,
4,
3,
4,
4,
4,
3,
3,
1,
2,
3,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
2,
3,
4,
4,
5,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
3,
2,
2,
6,
2,
2,
2,
3,
5,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
2,
2,
4,
3,
4,
3,
3,
2,
3,
2,
2,
3,
3,
2,
5,
2,
4,
2,
2,
3,
3,
6,
3,
3,
4,
4,
3,
4,
4,
6,
4,
3,
2,
5,
4,
2,
3,
2,
2,
2,
4,
4,
2,
3,
4,
5,
2,
4,
4,
4,
4,
3,
2,
8,
3,
6,
2,
5,
3,
3,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
4,
2,
1,
1,
2,
4,
4,
2,
8,
4,
3,
3,
4,
4,
4,
3,
3,
4,
4,
2,
3,
2,
4,
3,
7,
3,
4,
3,
3,
4,
4,
6,
2,
4,
4,
4,
4,
3,
2,
4,
4,
4,
4,
2,
2,
3,
3,
3,
2,
4,
4,
4,
4,
3,
4,
4,
5,
7,
3,
4,
4,
2,
3,
2,
2,
4,
3,
3,
3,
4,
3,
4,
3,
3,
3,
3,
3,
2,
2,
4,
3,
4,
3,
2,
4,
4,
4,
4,
3,
3,
3,
2,
5,
2,
3,
2,
2,
3,
4,
3,
4,
2,
4,
3,
2,
3,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
5,
2,
3,
3,
2,
4,
3,
3,
3,
2,
4,
4,
4,
3,
4,
4,
2,
2,
1,
6,
3,
2,
6,
4,
6,
4,
4,
4,
4,
4,
3,
3,
2,
4,
2,
6,
3,
4,
4,
4,
3,
4,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
5,
5,
4,
4,
4,
4,
4,
1,
4,
3,
4,
2,
2,
4,
2,
3,
3,
4,
2,
4,
4,
3,
4,
2,
2,
1,
3,
2,
2,
1,
5,
4,
3,
4,
3,
4,
2,
2,
2,
1,
3,
3,
2,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
4,
2,
2,
4,
4,
3,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
6,
5,
4,
2,
2,
2,
2,
3,
6,
3,
2,
2,
3,
3,
3,
2,
8,
4,
4,
4,
2,
4,
2,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
4,
4,
5,
2,
3,
4,
4,
2,
3,
4,
3,
3,
3,
3,
4,
4,
2,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
1,
4,
4,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
5,
2,
4,
4,
4,
2,
4,
3,
4,
3,
2,
3,
4,
6,
4,
4,
2,
3,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
6,
3,
3,
2,
9,
2,
2,
3,
2,
1,
1,
4,
4,
2,
2,
5,
4,
4,
4,
2,
5,
4,
2,
4,
2,
4,
4,
4,
2,
3,
2,
2,
2,
3,
3,
2,
4,
2,
3,
2,
4,
4,
3,
3,
3,
2,
4,
4,
2,
4,
3,
1,
2,
4,
4,
4,
4,
4,
4,
2,
1,
4,
4,
5,
3,
3,
3,
7,
3,
2,
2,
2,
2,
2,
2,
5,
4,
4,
5,
2,
3,
5,
3,
2,
3,
3,
5,
3,
4,
6,
2,
4,
3,
2,
2,
2,
4,
3,
4,
4,
2,
4,
4,
4,
5,
5,
4,
2,
4,
3,
3,
2,
2,
4,
2,
2,
3,
4,
5,
3,
2,
2,
5,
2,
3,
3,
3,
4,
2,
2,
2,
2,
3,
4,
4,
4,
4,
3,
3,
10,
4,
9,
2,
3,
4,
5,
4,
3,
3,
3,
3,
2,
3,
3,
2,
3,
1,
2,
2,
4,
2,
5,
4,
2,
2,
4,
2,
2,
4,
2,
4,
2,
3,
4,
4,
4,
4,
4,
4,
4,
5,
2,
4,
4,
5,
2,
5,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
3,
3,
4,
3,
4,
3,
4,
3,
2,
4,
3,
4,
2,
4,
2,
2,
3,
2,
2,
4,
3,
4,
4,
3,
5,
3,
4,
3,
3,
4,
3,
3,
7,
3,
3,
2,
2,
1,
3,
4,
4,
3,
7,
3,
2,
2,
4,
5,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
2,
3,
1,
3,
4,
2,
1,
4,
2,
4,
4,
2,
2,
4,
3,
2,
2,
2,
2,
4,
4,
4,
2,
3,
5,
4,
4,
3,
2,
2,
5,
5,
5,
3,
3,
3,
7,
7,
3,
3,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
4,
4,
2,
2,
2,
2,
7,
3,
2,
3,
2,
5,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
2,
3,
3,
3,
4,
4,
2,
4,
5,
2,
3,
3,
3,
4,
5,
4,
4,
6,
3,
3,
2,
2,
2,
4,
4,
6,
3,
2,
1,
3,
4,
4,
4,
4,
5,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
7,
6,
3,
4,
3,
2,
3,
3,
2,
4,
3,
3,
4,
4,
1,
2,
3,
3,
3,
4,
4,
4,
3,
3,
5,
4,
2,
4,
12,
4,
6,
4,
2,
3,
4,
2,
5,
5,
3,
3,
2,
3,
3,
2,
2,
4,
4,
3,
4,
2,
4,
1,
2,
3,
5,
3,
5,
7,
2,
2,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
2,
3,
4,
2,
4,
2,
3,
3,
3,
2,
4,
2,
2,
4,
2,
4,
2,
2,
2,
3,
2,
2,
4,
5,
4,
3,
3,
3,
4,
2,
4,
3,
2,
2,
3,
3,
2,
2,
1,
2,
4,
3,
4,
4,
4,
2,
4,
2,
3,
3,
4,
3,
4,
3,
4,
3,
4,
5,
5,
2,
4,
3,
4,
4,
4,
2,
2,
2,
2,
2,
5,
4,
4,
3,
3,
2,
3,
2,
2,
5,
3,
3,
2,
3,
2,
4,
4,
3,
3,
3,
2,
2,
2,
2,
3,
3,
1,
2,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
5,
4,
3,
3,
2,
4,
3,
3,
3,
3,
3,
6,
4,
1,
4,
4,
2,
4,
4,
2,
3,
2,
4,
2,
3,
5,
4,
3,
2,
3,
2,
4,
3,
2,
4,
4,
5,
4,
4,
4,
4,
3,
4,
3,
5,
3,
5,
3,
3,
5,
2,
2,
1,
1,
3,
4,
2,
5,
3,
2,
3,
2,
3,
1,
4,
4,
4,
2,
2,
2,
5,
4,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
5,
6,
4,
5,
5,
3,
6,
4,
4,
5,
3,
4,
3,
5,
4,
3,
4,
3,
5,
3,
3,
4,
4,
3,
3,
3,
5,
8,
8,
4,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
2,
4,
3,
2,
2,
3,
3,
3,
4,
4,
2,
8,
3,
2,
5,
5,
5,
2,
3,
3,
5,
2,
3,
3,
3,
3,
3,
4,
4,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
4,
2,
2,
4,
2,
2,
4,
4,
2,
3,
2,
4,
4,
3,
3,
4,
2,
2,
3,
3,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
6,
3,
2,
2,
5,
5,
2,
3,
4,
4,
2,
2,
2,
2,
4,
1,
3,
2,
2,
3,
3,
3,
5,
2,
3,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
4,
7,
2,
4,
5,
3,
3,
2,
2,
3,
2,
2,
2,
2,
4,
3,
4,
5,
4,
4,
2,
3,
3,
3,
2,
4,
3,
4,
4,
3,
3,
4,
3,
3,
3,
4,
4,
2,
3,
3,
4,
4,
3,
2,
6,
3,
3,
4,
6,
4,
2,
4,
3,
4,
4,
3,
3,
3,
3,
3,
2,
4,
4,
3,
2,
4,
4,
2,
4,
2,
2,
3,
4,
4,
4,
4,
3,
3,
2,
2,
4,
2,
5,
4,
6,
2,
5,
5,
5,
3,
3,
2,
2,
3,
3,
3,
4,
3,
3,
2,
3,
2,
2,
3,
2,
4,
5,
4,
6,
3,
3,
3,
4,
2,
2,
3,
2,
2,
2,
4,
2,
2,
3,
2,
3,
4,
3,
6,
2,
4,
3,
3,
5,
4,
4,
3,
4,
2,
3,
6,
4,
2,
4,
4,
2,
4,
4,
4,
2,
2,
2,
4,
2,
4,
4,
3,
3,
4,
6,
2,
2,
4,
4,
6,
4,
4,
4,
6,
6,
6,
4,
2,
3,
2,
5,
3,
5,
2,
3,
2,
2,
2,
3,
3,
4,
3,
2,
2,
4,
3,
3,
5,
4,
2,
3,
4,
3,
2,
2,
2,
2,
2,
2,
1,
3,
3,
5,
2,
4,
3,
4,
2,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
3,
2,
3,
3,
3,
3,
4,
2,
4,
4,
5,
3,
4,
4,
4,
3,
3,
2,
4,
4,
4,
6,
2,
4,
4,
3,
3,
6,
4,
7,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
2,
5,
3,
4,
2,
3,
1,
1,
2,
3,
2,
3,
3,
4,
3,
4,
4,
4,
4,
9,
2,
4,
5,
4,
3,
4,
4,
3,
4,
3,
4,
4,
4,
2,
3,
2,
3,
4,
1,
3,
2,
4,
2,
2,
4,
5,
4,
4,
4,
3,
3,
3,
3,
4,
4,
5,
4,
3,
2,
2,
4,
4,
3,
2,
3,
2,
1,
3,
2,
4,
2,
3,
2,
3,
3,
2,
1,
2,
4,
3,
3,
3,
3,
4,
6,
2,
3,
2,
2,
2,
3,
3,
3,
6,
3,
3,
4,
4,
3,
4,
2,
2,
3,
2,
3,
5,
3,
2,
4,
2,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
4,
3,
4,
3,
2,
2,
4,
4,
2,
4,
3,
3,
2,
3,
2,
2,
2,
2,
4,
2,
4,
3,
4,
4,
4,
4,
2,
3,
4,
2,
2,
2,
2,
2,
2,
1,
3,
2,
2,
2,
2,
2,
3,
4,
2,
3,
4,
2,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
1,
3,
1,
1,
2,
2,
4,
3,
4,
4,
4,
6,
4,
4,
6,
2,
2,
2,
3,
2,
3,
2,
2,
8,
4,
2,
3,
2,
5,
3,
2,
2,
3,
3,
3,
3,
3,
4,
3,
2,
3,
3,
3,
2,
2,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
3,
3,
2,
3,
4,
3,
2,
2,
2,
2,
1,
3,
2,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
3,
4,
3,
2,
2,
4,
4,
2,
4,
4,
3,
2,
2,
3,
2,
5,
2,
4,
4,
4,
2,
4,
6,
4,
4,
4,
3,
3,
2,
2,
4,
2,
3,
3,
3,
3,
3,
2,
2,
4,
4,
2,
2,
2,
4,
4,
5,
4,
3,
3,
3,
5,
2,
2,
4,
4,
3,
4,
2,
3,
2,
3,
2,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
7,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
3,
3,
2,
3,
2,
3,
4,
2,
4,
4,
4,
2,
3,
2,
3,
3,
5,
4,
3,
3,
3,
3,
4,
2,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
1,
3,
2,
2,
2,
3,
4,
3,
2,
2,
1,
4,
2,
2,
2,
2,
4,
4,
3,
4,
3,
2,
2,
5,
4,
2,
3,
4,
4,
3,
3,
3,
4,
3,
2,
2,
4,
2,
4,
3,
4,
7,
2,
3,
3,
2,
5,
3,
2,
3,
4,
3,
3,
2,
2,
2,
3,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
4,
2,
4,
3,
6,
5,
2,
7,
6,
3,
3,
4,
4,
2,
4,
4,
5,
3,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
3,
4,
4,
4,
4,
6,
4,
4,
4,
2,
2,
2,
3,
2,
2,
2,
2,
3,
4,
4,
3,
4,
2,
2,
3,
3,
3,
2,
4,
2,
2,
3,
6,
3,
2,
2,
6,
2,
3,
5,
5,
4,
5,
5,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
2,
3,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
5,
3,
4,
5,
8,
3,
3,
7,
4,
5,
2,
2,
4,
2,
3,
4,
4,
5,
2,
7,
3,
3,
1,
3,
4,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
2,
4,
2,
3,
3,
2,
2,
4,
2,
4,
4,
4,
2,
4,
4,
3,
6,
3,
2,
1,
4,
2,
3,
4,
3,
2,
4,
4,
3,
2,
4,
4,
2,
2,
5,
2,
2,
4,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
4,
4,
4,
4,
6,
2,
2,
4,
3,
3,
3,
5,
6,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
5,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
3,
2,
3,
2,
4,
3,
4,
2,
2,
2,
3,
3,
3,
3,
4,
4,
4,
7,
4,
7,
4,
4,
4,
3,
4,
2,
2,
3,
3,
3,
6,
2,
3,
3,
2,
3,
3,
4,
3,
4,
3,
2,
3,
2,
2,
6,
3,
4,
4,
3,
3,
5,
2,
2,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
3,
4,
2,
3,
3,
2,
3,
3,
3,
2,
3,
5,
3,
5,
4,
2,
4,
3,
3,
4,
2,
4,
2,
4,
3,
3,
3,
2,
4,
2,
3,
3,
2,
3,
2,
3,
2,
4,
3,
3,
3,
2,
3,
4,
3,
3,
3,
4,
2,
3,
5,
3,
2,
2,
4,
3,
3,
4,
3,
4,
3,
3,
3,
3,
3,
1,
3,
2,
4,
5,
2,
4,
2,
2,
2,
4,
4,
4,
3,
4,
2,
2,
2,
6,
2,
2,
4,
4,
4,
2,
4,
5,
2,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
2,
5,
2,
2,
2,
2,
4,
2,
3,
3,
4,
3,
2,
3,
3,
5,
2,
2,
3,
2,
4,
8,
8,
4,
4,
3,
3,
6,
3,
2,
2,
4,
4,
3,
3,
3,
3,
3,
1,
2,
4,
2,
3,
2,
4,
3,
2,
3,
3,
4,
2,
4,
3,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
4,
3,
2,
2,
5,
2,
2,
4,
2,
3,
3,
6,
4,
3,
3,
2,
4,
4,
3,
2,
4,
2,
1,
3,
3,
3,
4,
2,
3,
4,
4,
3,
2,
5,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
3,
2,
2,
3,
4,
4,
2,
4,
2,
4,
3,
5,
4,
4,
2,
4,
2,
2,
2,
2,
2,
5,
4,
2,
2,
3,
3,
4,
3,
4,
2,
4,
4,
3,
3,
3,
4,
4,
3,
4,
4,
3,
4,
2,
3,
2,
4,
5,
3,
3,
3,
3,
6,
3,
2,
4,
4,
3,
2,
4,
2,
4,
4,
5,
4,
4,
5,
3,
2,
3,
2,
5,
3,
3,
2,
4,
4,
2,
2,
4,
2,
4,
2,
2,
2,
1,
2,
2,
2,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
3,
2,
2,
3,
3,
2,
4,
3,
2,
3,
3,
5,
4,
5,
4,
4,
4,
4,
4,
2,
3,
2,
2,
2,
4,
6,
2,
2,
3,
3,
3,
2,
3,
3,
3,
4,
4,
3,
3,
3,
4,
4,
4,
4,
2,
3,
2,
4,
2,
2,
2,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
3,
4,
4,
4,
4,
3,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
2,
2,
4,
2,
3,
2,
3,
6,
2,
3,
2,
2,
2,
3,
2,
2,
3,
3,
4,
4,
3,
2,
4,
3,
2,
4,
3,
2,
2,
4,
3,
3,
2,
3,
4,
3,
4,
2,
3,
5,
4,
3,
4,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
3,
2,
3,
7,
3,
3,
3,
5,
3,
3,
3,
2,
2,
4,
4,
4,
5,
6,
3,
2,
4,
3,
2,
1,
2,
2,
3,
2,
6,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
4,
2,
4,
5,
3,
2,
3,
4,
4,
3,
6,
3,
4,
3,
2,
2,
3,
4,
4,
5,
4,
4,
4,
4,
4,
3,
6,
3,
3,
7,
3,
2,
2,
4,
4,
2,
4,
4,
4,
2,
2,
2,
3,
2,
2,
2,
1,
2,
3,
2,
2,
1,
2,
1,
3,
3,
2,
5,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
3,
3,
2,
4,
2,
3,
4,
2,
4,
3,
3,
3,
4,
3,
3,
3,
2,
2,
3,
2,
5,
2,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
5,
3,
2,
3,
3,
3,
3,
4,
4,
4,
3,
4,
4,
4,
2,
3,
3,
2,
2,
3,
4,
1,
2,
2,
2,
2,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
4,
5,
4,
3,
3,
6,
2,
3,
2,
6,
3,
4,
4,
4,
2,
5,
3,
3,
5,
6,
6,
5,
2,
4,
3,
4,
4,
4,
2,
2,
4,
5,
5,
5,
5,
2,
3,
3,
4,
4,
4,
2,
3,
1,
2,
3,
2,
2,
2,
2,
1,
2,
2,
2,
2,
3,
3,
3,
2,
4,
4,
2,
4,
4,
4,
4,
2,
4,
3,
3,
4,
2,
6,
5,
3,
4,
2,
4,
3,
3,
4,
1,
1,
3,
3,
4,
3,
4,
5,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
3,
4,
3,
4,
4,
2,
4,
4,
3,
4,
4,
4,
3,
4,
2,
4,
2,
2,
4,
2,
2,
4,
2,
3,
5,
2,
2,
3,
2,
4,
2,
4,
4,
4,
4,
7,
4,
1,
3,
2,
3,
3,
3,
4,
2,
1,
2,
4,
4,
2,
4,
3,
4,
4,
3,
4,
4,
4,
2,
2,
5,
6,
4,
2,
3,
2,
3,
3,
2,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
2,
4,
3,
4,
4,
4,
1,
2,
3,
4,
4,
2,
3,
4,
2,
3,
2,
2,
2,
2,
4,
2,
2,
3,
4,
3,
2,
2,
2,
3,
1,
4,
2,
3,
4,
4,
1,
4,
3,
4,
4,
3,
3,
3,
3,
5,
2,
5,
3,
3,
3,
4,
4,
2,
3,
2,
4,
3,
3,
3,
3,
3,
4,
2,
4,
3,
3,
2,
3,
3,
2,
2,
2,
2,
6,
5,
2,
4,
2,
2,
3,
3,
3,
3,
2,
4,
6,
6,
7,
5,
4,
3,
1,
4,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
2,
2,
3,
4,
4,
2,
3,
2,
3,
3,
4,
2,
4,
2,
4,
2,
4,
4,
5,
4,
4,
5,
4,
2,
4,
4,
4,
5,
5,
3,
3,
5,
4,
2,
2,
2,
4,
2,
3,
2,
3,
4,
2,
3,
3,
2,
2,
1,
6,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
3,
6,
3,
3,
3,
3,
2,
3,
3,
3,
4,
4,
4,
2,
2,
4,
4,
3,
5,
2,
3,
2,
3,
3,
4,
2,
3,
3,
3,
4,
2,
4,
4,
3,
3,
4,
6,
4,
4,
4,
6,
3,
2,
4,
4,
3,
3,
2,
3,
3,
3,
3,
5,
3,
6,
4,
4,
4,
4,
3,
2,
2,
3,
3,
2,
2,
2,
3,
3,
4,
3,
4,
3,
2,
3,
2,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
4,
3,
3,
3,
3,
4,
2,
3,
2,
7,
5,
2,
3,
2,
2,
3,
4,
3,
6,
3,
3,
5,
4,
5,
5,
3,
4,
4,
2,
2,
2,
2,
2,
7,
2,
4,
2,
4,
3,
3,
4,
4,
3,
3,
3,
4,
3,
5,
4,
3,
2,
4,
4,
4,
3,
4,
4,
3,
2,
4,
2,
3,
3,
3,
5,
6,
2,
2,
5,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
4,
2,
2,
3,
2,
5,
5,
4,
6,
4,
2,
4,
4,
3,
4,
4,
3,
3,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
3,
3,
4,
2,
2,
2,
4,
2,
4,
2,
3,
2,
2,
3,
2,
4,
3,
3,
4,
5,
4,
2,
2,
2,
4,
4,
4,
4,
3,
2,
2,
4,
3,
3,
2,
3,
2,
3,
3,
2,
4,
4,
2,
6,
4,
4,
6,
2,
2,
3,
4,
3,
4,
4,
2,
3,
3,
4,
2,
2,
3,
2,
4,
2,
5,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
3,
3,
3,
2,
3,
5,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
3,
1,
1,
4,
4,
4,
4,
3,
3,
4,
2,
2,
2,
5,
3,
4,
4,
3,
2,
3,
2,
2,
4,
1,
1,
4,
4,
4,
4,
3,
4,
2,
3,
3,
4,
5,
2,
5,
4,
4,
2,
3,
3,
3,
2,
2,
4,
2,
7,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
3,
3,
3,
2,
4,
3,
2,
2,
3,
2,
2,
4,
2,
4,
3,
2,
3,
3,
1,
2,
3,
2,
2,
3,
5,
3,
3,
3,
2,
2,
5,
3,
4,
4,
3,
7,
3,
2,
2,
2,
3,
3,
6,
2,
2,
4,
4,
2,
3,
4,
2,
2,
2,
2,
4,
4,
3,
2,
4,
2,
3,
2,
7,
2,
3,
1,
2,
2,
2,
3,
2,
4,
4,
3,
4,
3,
2,
3,
3,
4,
5,
3,
2,
2,
3,
3,
3,
4,
4,
5,
1,
4,
4,
4,
2,
3,
4,
4,
4,
4,
3,
3,
1,
3,
4,
2,
3,
2,
2,
3,
6,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
4,
1,
4,
4,
2,
2,
3,
3,
3,
3,
2,
4,
2,
4,
3,
2,
2,
4,
2,
4,
4,
2,
1,
2,
2,
2,
3,
3,
2,
3,
5,
4,
2,
2,
3,
3,
4,
3,
2,
3,
3,
4,
4,
2,
4,
2,
4,
6,
4,
3,
4,
2,
4,
5,
3,
3,
4,
4,
3,
2,
2,
6,
3,
5,
2,
3,
2,
2,
4,
2,
2,
2,
4,
2,
4,
6,
4,
6,
3,
3,
2,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
3,
3,
2,
1,
1,
1,
2,
1,
2,
3,
2,
2,
2,
3,
2,
3,
3,
3,
4,
2,
3,
2,
4,
4,
2,
4,
2,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
4,
7,
4,
4,
4,
5,
2,
4,
3,
3,
3,
3,
4,
4,
2,
3,
4,
2,
2,
2,
4,
3,
3,
1,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
3,
2,
5,
3,
4,
4,
4,
3,
4,
3,
3,
2,
3,
4,
3,
3,
3,
3,
2,
2,
4,
2,
2,
2,
3,
3,
6,
7,
2,
2,
3,
3,
3,
3,
4,
4,
2,
2,
3,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
4,
4,
2,
7,
3,
3,
4,
2,
2,
7,
7,
4,
5,
3,
2,
3,
4,
4,
4,
2,
2,
2,
2,
4,
3,
3,
4,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
3,
3,
2,
4,
5,
4,
3,
3,
3,
4,
4,
3,
3,
2,
3,
4,
4,
2,
4,
4,
4,
4,
4,
3,
4,
4,
2,
2,
3,
3,
3,
5,
3,
2,
3,
4,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
3,
6,
4,
4,
3,
2,
3,
3,
5,
3,
4,
4,
5,
2,
2,
4,
4,
3,
4,
3,
3,
3,
3,
3,
2,
5,
2,
2,
3,
4,
4,
2,
4,
4,
2,
4,
4,
2,
2,
2,
3,
4,
4,
4,
4,
2,
3,
3,
2,
2,
2,
3,
3,
3,
2,
3,
2,
4,
3,
3,
3,
2,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
2,
3,
3,
3,
3,
2,
3,
4,
3,
3,
3,
4,
4,
4,
1,
4,
4,
2,
6,
5,
2,
4,
2,
2,
3,
2,
2,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
1,
1,
4,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
3,
4,
4,
3,
3,
2,
5,
2,
3,
3,
4,
6,
4,
4,
4,
7,
4,
2,
2,
2,
4,
2,
5,
2,
6,
2,
3,
3,
2,
2,
2,
3,
2,
3,
4,
2,
2,
4,
6,
2,
2,
2,
4,
4,
3,
4,
2,
2,
4,
3,
5,
3,
5,
2,
6,
1,
4,
3,
2,
2,
2,
4,
2,
2,
2,
3,
2,
3,
3,
3,
3,
4,
3,
2,
2,
2,
4,
3,
3,
4,
4,
2,
4,
4,
4,
4,
3,
2,
3,
3,
2,
5,
2,
1,
2,
2,
2,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
4,
5,
2,
4,
8,
8,
6,
2,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
2,
5,
5,
6,
6,
4,
4,
4,
5,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
2,
4,
2,
4,
8,
2,
2,
4,
4,
3,
3,
3,
4,
2,
3,
2,
2,
4,
5,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
6,
1,
4,
2,
2,
3,
3,
3,
2,
4,
2,
1,
3,
4,
2,
2,
3,
1,
4,
4,
1,
4,
4,
4,
2,
3,
3,
4,
3,
2,
2,
1,
3,
5,
2,
2,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
2,
4,
2,
3,
3,
3,
5,
4,
5,
4,
3,
3,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
4,
2,
3,
4,
3,
3,
3,
3,
4,
1,
4,
3,
4,
4,
4,
4,
2,
2,
2,
2,
4,
7,
3,
3,
2,
2,
4,
3,
1,
3,
9,
3,
3,
2,
3,
3,
2,
2,
4,
4,
3,
3,
3,
3,
2,
2,
3,
4,
4,
3,
2,
2,
4,
2,
2,
2,
4,
4,
3,
3,
3,
7,
3,
3,
4,
4,
4,
2,
4,
4,
4,
7,
7,
4,
2,
3,
2,
3,
4,
5,
2,
6,
3,
4,
4,
4,
2,
2,
2,
2,
3,
4,
4,
3,
2,
3,
2,
2,
3,
3,
4,
4,
3,
3,
3,
2,
8,
2,
2,
3,
2,
2,
2,
4,
4,
3,
2,
5,
3,
2,
5,
5,
4,
6,
4,
4,
4,
7,
2,
2,
3,
4,
2,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
5,
4,
2,
3,
4,
3,
3,
2,
3,
5,
3,
3,
2,
2,
2,
4,
3,
2,
4,
4,
5,
2,
2,
2,
4,
3,
3,
3,
4,
2,
4,
4,
3,
5,
5,
3,
4,
3,
2,
5,
4,
3,
5,
3,
5,
5,
7,
5,
2,
7,
2,
4,
2,
3,
2,
4,
4,
3,
6,
2,
2,
2,
3,
3,
3,
2,
4,
3,
2,
2,
2,
2,
3,
4,
3,
3,
3,
2,
4,
2,
2,
2,
3,
4,
3,
4,
4,
4,
4,
2,
2,
2,
4,
2,
3,
3,
4,
3,
3,
3,
6,
3,
2,
4,
4,
3,
3,
3,
2,
2,
2,
3,
2,
3,
3,
3,
4,
2,
3,
2,
3,
2,
2,
4,
4,
4,
3,
4,
4,
2,
4,
3,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
6,
3,
2,
5,
2,
2,
3,
4,
5,
2,
3,
3,
4,
3,
1,
2,
4,
5,
2,
3,
3,
3,
5,
3,
4,
3,
2,
2,
3,
3,
5,
4,
4,
4,
4,
2,
4,
2,
3,
7,
2,
4,
2,
4,
2,
2,
2,
2,
3,
3,
3,
4,
2,
6,
7,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
4,
4,
4,
2,
4,
6,
4,
3,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
3,
3,
4,
6,
6,
2,
3,
2,
2,
3,
3,
2,
4,
2,
4,
4,
4,
3,
2,
4,
3,
2,
5,
2,
3,
3,
4,
3,
4,
4,
2,
2,
2,
3,
3,
2,
4,
4,
3,
2,
4,
4,
4,
2,
3,
3,
3,
3,
2,
4,
2,
4,
4,
3,
2,
5,
5,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
4,
4,
3,
3,
3,
3,
3,
4,
3,
3,
2,
2,
2,
3,
2,
4,
4,
3,
3,
3,
4,
3,
3,
2,
2,
4,
2,
2,
4,
2,
2,
2,
2,
4,
5,
3,
1,
5,
2,
3,
3,
4,
2,
3,
4,
4,
4,
3,
2,
3,
3,
4,
2,
4,
3,
4,
4,
2,
2,
2,
3,
3,
2,
4,
6,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
4,
4,
2,
2,
5,
3,
2,
4,
4,
4,
6,
3,
3,
2,
2,
4,
1,
4,
2,
4,
3,
4,
2,
4,
4,
2,
3,
6,
2,
5,
4,
5,
4,
5,
6,
2,
2,
3,
4,
3,
4,
4,
3,
7,
6,
9,
4,
3,
5,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
4,
2,
2,
2,
2,
2,
5,
3,
2,
3,
4,
2,
2,
2,
2,
4,
2,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
4,
4,
4,
3,
4,
4,
4,
3,
3,
2,
3,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
5,
4,
5,
2,
3,
2,
3,
2,
4,
2,
3,
2,
2,
3,
5,
2,
1,
3,
3,
3,
3,
4,
6,
4,
4,
3,
2,
4,
5,
4,
4,
3,
4,
3,
4,
2,
2,
4,
2,
2,
3,
2,
3,
2,
3,
5,
2,
2,
2,
2,
3,
2,
3,
4,
5,
2,
3,
3,
3,
4,
4,
5,
3,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
2,
3,
5,
4,
3,
3,
3,
3,
2,
2,
2,
3,
5,
3,
3,
2,
2,
3,
4,
4,
2,
4,
4,
3,
2,
2,
2,
3,
2,
3,
4,
2,
4,
2,
4,
5,
4,
4,
4,
2,
4,
4,
2,
2,
3,
2,
3,
1,
5,
5,
2,
5,
2,
2,
3,
6,
3,
4,
2,
3,
5,
2,
2,
3,
3,
2,
2,
3,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
1,
2,
4,
2,
3,
2,
2,
2,
3,
2,
2,
4,
3,
3,
3,
5,
3,
3,
2,
3,
3,
2,
5,
4,
3,
2,
3,
7,
3,
4,
4,
4,
2,
3,
5,
3,
3,
3,
3,
3,
3,
3,
2,
2,
1,
2,
2,
2,
2,
3,
2,
3,
3,
2,
2,
4,
2,
2,
2,
3,
4,
3,
2,
3,
1,
4,
2,
2,
4,
2,
5,
2,
4,
2,
2,
3,
3,
3,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
2,
2,
3,
2,
3,
2,
4,
3,
4,
3,
2,
2,
2,
2,
3,
3,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
2,
4,
2,
2,
4,
4,
3,
4,
4,
2,
3,
3,
5,
3,
3,
2,
2,
2,
1,
2,
2,
5,
5,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
5,
2,
5,
4,
2,
2,
2,
3,
5,
2,
4,
3,
2,
4,
4,
2,
2,
4,
3,
3,
2,
4,
3,
5,
3,
1,
3,
2,
3,
7,
5,
4,
4,
6,
4,
4,
1,
2,
4,
4,
4,
4,
7,
4,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
2,
1,
2,
2,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
2,
4,
2,
5,
2,
4,
7,
2,
3,
2,
4,
3,
2,
5,
6,
3,
4,
2,
4,
4,
2,
2,
4,
4,
3,
4,
5,
2,
4,
2,
4,
3,
3,
3,
5,
4,
3,
3,
4,
4,
3,
3,
3,
4,
3,
2,
2,
4,
3,
5,
2,
3,
2,
4,
4,
3,
5,
2,
3,
2,
3,
3,
3,
2,
5,
4,
4,
5,
4,
4,
3,
4,
4,
4,
4,
2,
3,
2,
5,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
4,
4,
4,
2,
3,
2,
4,
4,
3,
3,
1,
5,
6,
5,
2,
2,
4,
2,
4,
2,
6,
4,
4,
5,
8,
2,
2,
2,
2,
2,
3,
4,
3,
3,
3,
2,
3,
6,
4,
1,
5,
2,
4,
5,
5,
2,
2,
3,
3,
2,
3,
3,
2,
3,
2,
2,
3,
2,
3,
2,
2,
2,
4,
2,
4,
2,
2,
3,
2,
4,
3,
3,
6,
6,
5,
3,
2,
3,
2,
3,
4,
2,
4,
4,
4,
3,
3,
3,
4,
1,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
4,
4,
5,
8,
3,
3,
2,
4,
3,
3,
3,
3,
4,
2,
4,
3,
3,
2,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
4,
4,
2,
1,
3,
2,
4,
3,
6,
6,
4,
6,
2,
4,
4,
5,
3,
5,
4,
4,
5,
3,
2,
1,
3,
2,
3,
3,
3,
3,
3,
2,
3,
4,
4,
4,
4,
2,
3,
3,
1,
2,
3,
2,
2,
2,
2,
2,
4,
4,
3,
3,
2,
4,
2,
2,
2,
3,
5,
2,
2,
3,
3,
3,
3,
4,
4,
6,
4,
2,
3,
3,
2,
1,
3,
2,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
2,
2,
4,
4,
6,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
3,
3,
3,
3,
3,
2,
2,
2,
1,
1,
3,
1,
2,
2,
3,
1,
3,
3,
2,
3,
4,
4,
4,
2,
2,
3,
5,
2,
2,
3,
4,
3,
5,
2,
2,
1,
2,
2,
5,
3,
5,
2,
2,
2,
4,
4,
2,
2,
4,
4,
6,
3,
4,
4,
5,
2,
2,
3,
2,
3,
2,
3,
3,
2,
2,
2,
3,
3,
5,
5,
4,
6,
2,
2,
2,
3,
2,
3,
2,
3,
4,
2,
2,
6,
3,
4,
5,
2,
2,
4,
2,
2,
3,
2,
2,
6,
5,
5,
5,
2,
2,
2,
4,
4,
4,
2,
3,
4,
2,
2,
2,
3,
2,
4,
3,
3,
1,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
4,
2,
4,
2,
2,
2,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
6,
6,
5,
2,
4,
2,
4,
4,
5,
3,
3,
3,
3,
4,
2,
2,
4,
3,
4,
2,
2,
2,
3,
3,
5,
3,
4,
3,
2,
2,
2,
2,
3,
2,
3,
4,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
4,
8,
3,
3,
3,
3,
4,
4,
4,
2,
2,
4,
4,
3,
2,
3,
2,
3,
2,
2,
2,
3,
2,
3,
2,
4,
12,
2,
4,
5,
4,
3,
3,
3,
4,
3,
3,
2,
1,
3,
4,
5,
5,
5,
3,
4,
4,
4,
3,
2,
2,
2,
3,
2,
4,
4,
4,
3,
2,
2,
3,
4,
3,
3,
2,
3,
4,
4,
4,
2,
4,
3,
4,
3,
3,
4,
2,
3,
3,
2,
3,
2,
2,
2,
2,
4,
2,
2,
4,
4,
3,
2,
5,
2,
3,
3,
4,
2,
2,
2,
2,
2,
3,
4,
3,
3,
2,
3,
3,
3,
2,
2,
3,
3,
3,
2,
3,
3,
3,
4,
3,
3,
2,
2,
4,
6,
3,
3,
2,
3,
3,
3,
1,
4,
6,
4,
3,
7,
2,
2,
4,
2,
2,
2,
3,
3,
2,
9,
2,
2,
2,
4,
4,
4,
2,
4,
2,
4,
4,
6,
4,
3,
4,
5,
4,
2,
2,
4,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
3,
3,
5,
2,
2,
2,
5,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
3,
4,
5,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
3,
6,
3,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
3,
4,
2,
3,
2,
3,
3,
3,
5,
4,
5,
4,
2,
4,
5,
4,
2,
2,
1,
4,
5,
4,
2,
2,
4,
3,
4,
3,
5,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
5,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
5,
2,
4,
4,
3,
5,
5,
4,
4,
2,
4,
3,
3,
4,
5,
5,
5,
5,
6,
6,
3,
3,
3,
4,
3,
7,
4,
4,
4,
4,
2,
2,
3,
3,
2,
3,
2,
3,
4,
3,
4,
4,
2,
2,
4,
2,
2,
3,
3,
3,
4,
4,
4,
2,
4,
2,
5,
5,
4,
5,
3,
5,
4,
4,
4,
4,
5,
3,
2,
3,
3,
4,
4,
4,
2,
2,
2,
5,
6,
7,
3,
3,
2,
3,
5,
3,
6,
4,
4,
4,
3,
3,
4,
4,
2,
3,
3,
3,
3,
2,
2,
2,
1,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
3,
6,
6,
2,
2,
4,
4,
5,
5,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
4,
4,
3,
3,
4,
4,
3,
3,
2,
4,
4,
2,
2,
3,
4,
3,
3,
4,
2,
4,
2,
3,
4,
2,
2,
6,
2,
2,
8,
4,
3,
2,
2,
3,
3,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
2,
4,
6,
2,
2,
3,
2,
3,
3,
2,
4,
3,
5,
3,
4,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
4,
2,
3,
4,
4,
4,
5,
6,
3,
4,
4,
3,
4,
4,
2,
4,
2,
3,
3,
3,
3,
3,
6,
3,
4,
2,
7,
7,
6,
6,
7,
2,
2,
2,
2,
1,
3,
3,
3,
2,
3,
1,
2,
2,
2,
2,
2,
2,
3,
3,
4,
2,
3,
2,
4,
3,
4,
4,
2,
3,
5,
3,
6,
5,
5,
5,
3,
3,
4,
2,
3,
3,
2,
3,
3,
3,
2,
2,
3,
4,
2,
4,
4,
2,
3,
1,
3,
2,
2,
2,
4,
2,
1,
2,
3,
2,
4,
3,
4,
2,
3,
4,
2,
5,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
3,
5,
4,
7,
2,
2,
2,
2,
3,
2,
3,
3,
3,
4,
4,
2,
2,
2,
4,
2,
4,
3,
3,
4,
3,
2,
2,
2,
2,
2,
4,
4,
3,
4,
4,
4,
4,
3,
2,
2,
2,
2,
5,
3,
5,
3,
4,
4,
2,
4,
4,
3,
3,
4,
3,
3,
2,
2,
3,
3,
2,
3,
3,
2,
4,
2,
4,
2,
4,
7,
3,
2,
2,
3,
3,
3,
4,
4,
3,
4,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
5,
4,
2,
3,
2,
5,
2,
2,
2,
4,
4,
3,
4,
6,
4,
3,
4,
3,
3,
3,
2,
4,
3,
3,
2,
3,
2,
4,
3,
5,
2,
2,
3,
4,
7,
3,
4,
2,
3,
3,
4,
4,
4,
2,
2,
4,
4,
3,
2,
4,
2,
4,
2,
2,
2,
3,
1,
2,
3,
4,
3,
3,
2,
2,
2,
3,
3,
2,
4,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
3,
6,
4,
3,
3,
2,
5,
3,
5,
2,
4,
1,
2,
1,
4,
4,
5,
4,
2,
2,
4,
2,
5,
5,
3,
4,
4,
4,
4,
1,
3,
4,
4,
2,
2,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
5,
6,
3,
4,
4,
2,
2,
5,
2,
2,
2,
3,
4,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
5,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
7,
3,
4,
4,
6,
6,
8,
4,
6,
4,
5,
1,
2,
2,
2,
2,
4,
2,
4,
5,
6,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
3,
2,
4,
4,
4,
4,
2,
2,
4,
4,
3,
5,
4,
4,
3,
2,
3,
3,
3,
5,
7,
7,
4,
5,
4,
4,
2,
1,
3,
2,
5,
2,
4,
3,
4,
2,
3,
4,
2,
2,
3,
2,
5,
5,
5,
4,
2,
2,
5,
7,
4,
2,
4,
4,
2,
4,
4,
2,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
6,
2,
3,
2,
7,
2,
3,
4,
4,
4,
3,
6,
6,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
4,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
2,
3,
3,
3,
2,
3,
3,
2,
3,
3,
3,
3,
2,
3,
2,
3,
4,
3,
2,
2,
3,
4,
4,
2,
2,
3,
5,
2,
4,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
3,
2,
2,
3,
4,
3,
1,
3,
3,
5,
3,
3,
3,
3,
3,
2,
4,
4,
4,
3,
5,
6,
2,
2,
2,
2,
4,
2,
2,
2,
3,
3,
5,
2,
2,
2,
2,
5,
4,
4,
2,
1,
2,
4,
3,
3,
4,
2,
3,
4,
4,
2,
4,
2,
5,
4,
3,
2,
4,
2,
2,
2,
4,
3,
1,
4,
4,
2,
2,
3,
6,
3,
5,
4,
4,
6,
3,
3,
2,
2,
3,
2,
3,
2,
3,
5,
2,
1,
3,
5,
7,
2,
2,
3,
2,
2,
2,
2,
4,
3,
5,
3,
3,
3,
2,
4,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
7,
3,
2,
4,
4,
2,
3,
4,
2,
4,
4,
4,
3,
3,
4,
2,
2,
4,
2,
2,
2,
2,
2,
1,
3,
3,
2,
2,
3,
4,
4,
2,
5,
3,
3,
3,
3,
4,
4,
3,
3,
2,
4,
4,
4,
4,
2,
2,
3,
3,
2,
4,
3,
3,
3,
2,
4,
2,
2,
3,
4,
4,
3,
3,
2,
3,
4,
3,
3,
2,
2,
2,
4,
4,
4,
2,
2,
2,
3,
4,
4,
4,
1,
5,
5,
5,
4,
3,
3,
4,
3,
2,
2,
2,
4,
4,
4,
3,
2,
2,
3,
2,
3,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
3,
6,
4,
4,
4,
4,
2,
3,
2,
2,
4,
4,
4,
4,
3,
2,
4,
3,
3,
3,
2,
2,
2,
3,
3,
3,
4,
2,
4,
1,
4,
5,
4,
4,
3,
4,
2,
4,
2,
1,
4,
4,
4,
2,
3,
4,
3,
2,
2,
1,
2,
2,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
5,
3,
3,
2,
2,
3,
4,
2,
2,
2,
4,
2,
2,
4,
2,
3,
3,
4,
3,
2,
3,
4,
2,
3,
5,
2,
3,
4,
2,
4,
3,
3,
2,
3,
4,
3,
4,
2,
2,
4,
4,
2,
2,
2,
3,
4,
4,
4,
5,
3,
3,
3,
2,
3,
2,
3,
2,
2,
7,
3,
3,
3,
3,
3,
2,
4,
2,
2,
4,
2,
4,
4,
4,
3,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
4,
2,
4,
4,
2,
3,
3,
3,
3,
5,
4,
4,
3,
2,
2,
2,
4,
1,
3,
3,
2,
2,
3,
3,
3,
4,
2,
2,
3,
3,
2,
2,
2,
2,
2,
4,
5,
4,
2,
5,
4,
8,
4,
4,
2,
4,
3,
5,
3,
2,
4,
4,
4,
3,
2,
5,
5,
2,
4,
4,
4,
4,
3,
2,
4,
2,
2,
3,
3,
3,
4,
4,
4,
5,
5,
4,
4,
2,
4,
2,
2,
4,
2,
3,
4,
4,
4,
2,
2,
5,
2,
3,
3,
3,
3,
2,
4,
4,
4,
2,
3,
3,
4,
3,
3,
2,
4,
2,
2,
3,
4,
6,
3,
4,
4,
2,
4,
3,
5,
5,
3,
5,
4,
4,
4,
2,
4,
1,
5,
4,
4,
4,
5,
5,
2,
5,
4,
3,
3,
3,
3,
3,
4,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
5,
4,
4,
8,
5,
2,
2,
3,
4,
4,
5,
2,
2,
2,
4,
2,
3,
2,
2,
2,
3,
3,
4,
5,
3,
3,
6,
2,
4,
6,
4,
2,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
3,
3,
2,
4,
2,
3,
3,
3,
1,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
3,
4,
4,
3,
3,
3,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
4,
4,
4,
4,
2,
4,
6,
4,
4,
4,
3,
4,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
3,
2,
3,
2,
4,
5,
3,
3,
2,
2,
6,
4,
3,
3,
3,
3,
3,
3,
2,
4,
3,
2,
6,
4,
5,
2,
2,
4,
4,
5,
5,
4,
2,
3,
2,
2,
2,
4,
1,
3,
3,
4,
4,
2,
3,
3,
4,
2,
2,
3,
4,
7,
3,
3,
1,
2,
3,
2,
2,
4,
2,
2,
4,
3,
3,
2,
2,
2,
5,
3,
3,
6,
3,
2,
2,
2,
2,
4,
3,
2,
2,
5,
3,
4,
3,
3,
2,
4,
4,
2,
5,
3,
2,
3,
3,
2,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
2,
4,
2,
1,
4,
2,
4,
4,
5,
4,
4,
2,
4,
2,
2,
4,
4,
4,
5,
4,
4,
2,
3,
3,
5,
3,
3,
2,
3,
1,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
2,
4,
1,
2,
2,
4,
4,
4,
2,
4,
2,
3,
2,
4,
2,
8,
4,
4,
2,
4,
3,
3,
2,
2,
2,
4,
3,
1,
3,
3,
2,
2,
7,
7,
4,
6,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
3,
3,
2,
2,
2,
4,
4,
4,
4,
2,
5,
7,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
5,
4,
4,
4,
2,
2,
3,
2,
3,
6,
6,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
1,
4,
2,
3,
2,
3,
2,
4,
3,
4,
4,
2,
4,
3,
4,
4,
4,
4,
2,
5,
4,
4,
4,
4,
2,
4,
3,
4,
4,
4,
2,
2,
2,
3,
3,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
4,
1,
4,
4,
4,
4,
2,
3,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
5,
5,
3,
2,
2,
4,
2,
1,
3,
2,
2,
2,
3,
3,
3,
3,
5,
3,
1,
2,
6,
2,
2,
2,
2,
4,
4,
3,
5,
5,
5,
5,
3,
2,
2,
2,
3,
2,
3,
4,
4,
4,
2,
2,
2,
4,
2,
1,
5,
2,
2,
2,
3,
3,
2,
2,
3,
3,
4,
2,
4,
2,
2,
7,
3,
3,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
3,
3,
3,
2,
3,
2,
4,
2,
3,
3,
4,
3,
3,
2,
4,
4,
2,
2,
2,
4,
2,
4,
2,
4,
2,
2,
3,
3,
3,
3,
2,
5,
2,
2,
2,
7,
2,
2,
2,
4,
4,
4,
2,
2,
3,
4,
5,
4,
4,
3,
4,
3,
3,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
2,
3,
4,
2,
1,
3,
2,
2,
2,
2,
1,
3,
2,
3,
3,
3,
3,
2,
3,
2,
2,
4,
7,
3,
4,
4,
2,
2,
3,
2,
2,
4,
4,
4,
2,
3,
3,
2,
2,
3,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
4,
4,
4,
7,
4,
2,
3,
3,
2,
2,
3,
3,
3,
2,
2,
2,
5,
4,
4,
4,
3,
2,
4,
3,
3,
4,
5,
2,
7,
2,
4,
4,
4,
2,
3,
3,
3,
2,
3,
5,
3,
3,
4,
2,
3,
1,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
3,
3,
3,
4,
3,
3,
2,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
2,
3,
4,
3,
3,
4,
2,
4,
3,
3,
4,
2,
3,
3,
2,
2,
3,
3,
3,
3,
2,
2,
2,
4,
2,
4,
2,
3,
2,
3,
4,
2,
2,
1,
2,
2,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
5,
2,
2,
2,
1,
3,
4,
4,
4,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
4,
3,
2,
2,
4,
2,
4,
2,
2,
3,
3,
3,
3,
2,
3,
4,
2,
2,
3,
3,
2,
4,
4,
3,
2,
3,
4,
4,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
2,
3,
2,
2,
2,
2,
2,
5,
4,
4,
3,
2,
3,
4,
5,
4,
2,
2,
5,
5,
5,
2,
3,
4,
3,
3,
4,
3,
3,
4,
3,
3,
3,
4,
4,
3,
3,
4,
3,
5,
4,
4,
2,
2,
4,
4,
3,
4,
2,
2,
2,
4,
2,
3,
3,
3,
2,
4,
4,
7,
4,
4,
4,
4,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
3,
2,
2,
2,
2,
2,
6,
3,
2,
6,
2,
2,
2,
2,
2,
4,
3,
3,
5,
4,
3,
2,
4,
3,
5,
5,
2,
2,
3,
2,
3,
3,
4,
4,
7,
4,
2,
2,
1,
2,
2,
2,
2,
3,
3,
2,
2,
2,
6,
5,
2,
2,
5,
2,
2,
4,
4,
2,
6,
6,
3,
4,
3,
5,
6,
4,
2,
2,
2,
2,
2,
2,
5,
7,
2,
2,
3,
4,
2,
5,
3,
1,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
3,
2,
3,
3,
1,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
2,
2,
4,
3,
3,
4,
3,
3,
3,
3,
2,
2,
5,
7,
4,
2,
4,
4,
4,
3,
3,
3,
2,
2,
4,
2,
2,
3,
3,
6,
5,
3,
2,
4,
2,
3,
3,
2,
4,
3,
2,
2,
3,
3,
2,
4,
3,
3,
4,
3,
5,
6,
3,
6,
2,
4,
4,
3,
3,
3,
4,
5,
2,
3,
3,
3,
4,
4,
2,
4,
5,
2,
2,
4,
4,
3,
4,
4,
4,
2,
2,
4,
2,
4,
2,
4,
2,
2,
2,
2,
6,
4,
2,
4,
2,
4,
4,
6,
4,
2,
2,
2,
1,
4,
4,
5,
3,
3,
7,
7,
8,
6,
5,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
1,
3,
4,
4,
4,
5,
3,
4,
4,
4,
2,
2,
4,
3,
1,
2,
2,
2,
3,
3,
2,
3,
2,
2,
3,
3,
4,
2,
2,
4,
2,
2,
1,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
5,
4,
4,
6,
4,
4,
8,
3,
3,
2,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
3,
5,
3,
3,
2,
2,
2,
3,
3,
3,
2,
7,
3,
3,
7,
3,
5,
5,
4,
4,
2,
3,
3,
2,
3,
3,
3,
3,
4,
4,
2,
2,
4,
3,
2,
4,
4,
4,
4,
4,
3,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
4,
2,
6,
4,
6,
4,
3,
2,
2,
4,
3,
2,
4,
3,
5,
3,
3,
6,
3,
3,
1,
4,
3,
2,
2,
2,
2,
2,
2,
2,
4,
6,
2,
2,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
2,
4,
2,
3,
2,
2,
4,
3,
4,
2,
3,
4,
5,
2,
3,
6,
6,
2,
4,
3,
3,
4,
5,
2,
3,
3,
3,
1,
3,
3,
2,
3,
2,
4,
3,
4,
4,
4,
3,
2,
2,
2,
2,
3,
3,
5,
6,
4,
2,
2,
3,
4,
4,
3,
4,
4,
3,
3,
1,
4,
5,
3,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
2,
1,
4,
2,
2,
2,
3,
3,
2,
5,
2,
3,
3,
2,
2,
2,
2,
6,
3,
4,
4,
4,
4,
3,
2,
5,
3,
4,
4,
4,
4,
4,
4,
1,
2,
3,
9,
4,
2,
5,
3,
3,
4,
2,
2,
3,
4,
5,
3,
3,
2,
5,
5,
3,
4,
5,
3,
3,
3,
5,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
1,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
4,
2,
4,
2,
2,
4,
3,
3,
2,
2,
4,
2,
2,
1,
2,
2,
4,
4,
4,
4,
2,
3,
4,
7,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
3,
3,
3,
3,
4,
2,
4,
4,
4,
3,
3,
3,
6,
2,
2,
4,
4,
4,
4,
2,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
2,
2,
3,
4,
4,
3,
4,
6,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
4,
4,
5,
4,
5,
4,
4,
2,
2,
3,
2,
4,
2,
3,
3,
4,
3,
2,
4,
4,
3,
2,
3,
2,
1,
6,
3,
4,
2,
2,
1,
3,
3,
4,
2,
2,
2,
2,
2,
2,
6,
7,
5,
2,
2,
4,
2,
3,
3,
3,
2,
3,
2,
2,
5,
3,
4,
2,
2,
2,
3,
3,
3,
4,
2,
4,
4,
3,
2,
6,
2,
4,
3,
3,
4,
3,
3,
4,
4,
2,
3,
2,
3,
4,
4,
4,
3,
6,
3,
3,
4,
4,
2,
2,
3,
3,
3,
4,
4,
4,
5,
4,
5,
3,
2,
3,
6,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
2,
4,
4,
4,
6,
5,
5,
3,
2,
3,
3,
3,
2,
3,
2,
2,
1,
2,
2,
2,
2,
2,
4,
3,
3,
2,
3,
3,
2,
3,
5,
2,
2,
2,
3,
2,
5,
3,
2,
6,
2,
2,
4,
2,
3,
4,
2,
2,
4,
2,
3,
3,
5,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
7,
3,
3,
3,
3,
3,
3,
4,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
5,
4,
3,
3,
2,
2,
2,
3,
2,
2,
2,
4,
3,
7,
3,
3,
4,
5,
4,
4,
3,
3,
6,
3,
3,
3,
3,
3,
2,
4,
3,
2,
5,
3,
3,
4,
5,
2,
4,
6,
3,
3,
3,
3,
4,
2,
3,
2,
2,
6,
2,
2,
2,
2,
3,
4,
4,
2,
2,
3,
6,
2,
2,
5,
4,
4,
4,
5,
4,
4,
4,
5,
3,
7,
2,
3,
3,
2,
2,
2,
2,
2,
3,
2,
6,
4,
7,
6,
4,
6,
2,
2,
3,
4,
6,
3,
2,
5,
5,
3,
5,
4,
4,
4,
2,
2,
3,
3,
4,
3,
3,
2,
2,
5,
6,
2,
3,
2,
3,
4,
2,
5,
2,
6,
4,
2,
2,
4,
3,
3,
2,
2,
3,
4,
3,
4,
4,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
6,
5,
6,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
5,
5,
1,
3,
4,
6,
4,
5,
5,
2,
3,
2,
2,
5,
2,
2,
4,
2,
2,
3,
3,
3,
3,
1,
2,
4,
3,
2,
2,
4,
3,
3,
4,
2,
2,
7,
2,
2,
2,
2,
2,
3,
3,
2,
4,
3,
4,
3,
2,
4,
4,
3,
2,
4,
4,
4,
4,
4,
2,
4,
2,
2,
4,
4,
2,
3,
3,
3,
4,
2,
2,
4,
4,
2,
3,
2,
2,
2,
2,
2,
5,
2,
2,
2,
3,
4,
4,
4,
2,
3,
3,
4,
4,
3,
4,
5,
5,
5,
6,
6,
5,
5,
3,
3,
3,
2,
3,
2,
3,
3,
3,
4,
3,
3,
2,
2,
1,
2,
2,
2,
2,
2,
4,
2,
2,
4,
5,
4,
3,
4,
3,
3,
2,
4,
4,
3,
2,
5,
3,
3,
3,
2,
2,
4,
4,
2,
3,
2,
2,
3,
2,
2,
6,
2,
2,
2,
4,
4,
4,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
4,
2,
2,
3,
2,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
4,
3,
2,
2,
4,
2,
4,
3,
2,
4,
3,
4,
4,
5,
4,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
3,
4,
3,
4,
2,
2,
3,
3,
2,
3,
3,
2,
3,
2,
2,
2,
4,
2,
4,
4,
5,
2,
4,
4,
4,
3,
3,
2,
5,
5,
6,
5,
3,
3,
3,
3,
4,
4,
5,
4,
4,
3,
1,
2,
6,
3,
4,
2,
4,
2,
2,
3,
4,
6,
4,
4,
5,
4,
3,
3,
3,
3,
3,
3,
3,
1,
3,
3,
3,
4,
4,
6,
4,
3,
6,
4,
4,
4,
4,
2,
2,
6,
3,
5,
5,
4,
4,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
4,
4,
2,
3,
2,
2,
4,
4,
2,
3,
2,
2,
4,
4,
3,
3,
4,
3,
4,
3,
3,
1,
5,
2,
3,
4,
3,
3,
3,
3,
3,
5,
5,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
5,
6,
5,
5,
4,
5,
4,
2,
3,
3,
4,
2,
2,
4,
6,
2,
2,
2,
4,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
6,
3,
2,
3,
2,
2,
2,
2,
5,
2,
4,
4,
4,
4,
2,
3,
3,
2,
4,
2,
4,
4,
4,
2,
2,
2,
4,
2,
4,
2,
3,
5,
5,
4,
2,
3,
3,
4,
2,
2,
3,
4,
3,
2,
2,
2,
2,
2,
4,
4,
4,
5,
4,
1,
4,
4,
4,
1,
1,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
5,
3,
3,
2,
2,
4,
3,
3,
3,
3,
4,
3,
3,
5,
3,
3,
2,
3,
4,
4,
2,
4,
2,
3,
2,
3,
2,
4,
4,
3,
2,
2,
2,
2,
5,
4,
4,
4,
4,
4,
4,
5,
4,
4,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
3,
3,
4,
2,
2,
3,
2,
2,
2,
2,
4,
5,
4,
3,
3,
3,
5,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
5,
5,
3,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
6,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
4,
4,
4,
5,
5,
1,
4,
2,
1,
2,
2,
1,
5,
3,
3,
3,
4,
4,
4,
3,
3,
3,
2,
2,
2,
1,
2,
3,
4,
4,
4,
4,
4,
7,
4,
2,
5,
2,
2,
2,
4,
2,
4,
4,
4,
3,
6,
2,
3,
2,
2,
4,
4,
4,
6,
2,
5,
4,
6,
2,
2,
3,
2,
2,
4,
4,
4,
2,
2,
2,
2,
1,
4,
3,
4,
4,
7,
2,
5,
5,
3,
5,
2,
2,
3,
3,
2,
4,
2,
4,
3,
2,
4,
3,
5,
5,
3,
2,
2,
2,
2,
3,
1,
4,
4,
5,
2,
4,
4,
2,
2,
1,
5,
4,
4,
4,
4,
2,
5,
2,
3,
2,
3,
3,
2,
3,
3,
4,
3,
4,
2,
2,
2,
3,
2,
4,
4,
5,
4,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
4,
3,
3,
3,
3,
3,
4,
3,
4,
2,
2,
4,
4,
2,
7,
5,
3,
3,
3,
2,
3,
2,
6,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
1,
2,
2,
4,
2,
3,
2,
2,
3,
3,
5,
2,
3,
3,
6,
3,
3,
3,
3,
2,
3,
2,
2,
2,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
3,
3,
3,
4,
2,
3,
2,
4,
4,
4,
2,
2,
2,
3,
5,
4,
4,
2,
4,
3,
4,
4,
4,
4,
2,
6,
6,
2,
4,
3,
2,
3,
6,
2,
3,
4,
2,
2,
4,
4,
2,
3,
2,
2,
2,
3,
2,
3,
2,
4,
4,
4,
2,
4,
2,
2,
2,
4,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
3,
4,
6,
6,
5,
2,
3,
5,
5,
5,
4,
2,
2,
2,
3,
2,
3,
2,
4,
2,
4,
2,
2,
4,
4,
4,
2,
3,
2,
4,
2,
4,
2,
4,
4,
4,
3,
3,
3,
2,
3,
3,
2,
4,
2,
3,
2,
3,
3,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
3,
3,
2,
3,
3,
2,
4,
2,
2,
2,
4,
2,
2,
4,
3,
3,
3,
3,
2,
2,
2,
2,
5,
3,
2,
2,
2,
3,
5,
4,
4,
4,
6,
2,
2,
2,
1,
3,
3,
4,
4,
3,
2,
2,
3,
3,
2,
3,
4,
2,
3,
6,
6,
5,
4,
4,
2,
3,
1,
6,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
5,
2,
7,
6,
4,
2,
2,
4,
3,
5,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
3,
4,
2,
4,
2,
3,
3,
3,
3,
5,
3,
2,
3,
4,
3,
3,
2,
2,
2,
2,
2,
4,
3,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
3,
3,
2,
5,
3,
2,
2,
2,
2,
5,
4,
4,
4,
4,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
4,
2,
5,
2,
4,
4,
3,
1,
3,
4,
4,
4,
3,
2,
2,
2,
2,
3,
2,
4,
4,
3,
3,
2,
2,
3,
3,
2,
3,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
5,
3,
2,
2,
2,
3,
5,
2,
4,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
3,
4,
4,
1,
1,
4,
3,
2,
2,
2,
2,
2,
4,
5,
3,
2,
3,
3,
4,
3,
6,
4,
3,
2,
2,
3,
3,
3,
3,
3,
8,
2,
4,
6,
4,
4,
3,
2,
3,
3,
3,
2,
2,
4,
3,
5,
6,
3,
3,
3,
7,
2,
2,
2,
2,
2,
2,
2,
6,
2,
4,
2,
2,
2,
2,
4,
3,
4,
2,
4,
2,
2,
3,
3,
5,
6,
6,
2,
3,
4,
2,
3,
5,
4,
4,
5,
4,
6,
2,
4,
2,
2,
2,
2,
2,
4,
1,
3,
2,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
1,
2,
6,
9,
2,
2,
2,
2,
4,
7,
3,
4,
3,
3,
2,
3,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
3,
3,
4,
5,
5,
4,
5,
5,
4,
2,
2,
2,
4,
3,
4,
3,
4,
4,
4,
2,
5,
4,
4,
2,
2,
4,
4,
2,
2,
1,
4,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
5,
4,
4,
3,
4,
3,
6,
4,
2,
2,
2,
2,
2,
2,
4,
1,
2,
2,
3,
3,
4,
3,
3,
2,
2,
2,
3,
2,
2,
4,
2,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
3,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
6,
2,
4,
6,
4,
4,
3,
3,
2,
2,
3,
2,
2,
3,
2,
2,
3,
2,
6,
4,
4,
3,
4,
3,
2,
4,
3,
3,
3,
4,
2,
4,
4,
3,
2,
2,
2,
3,
3,
4,
4,
4,
3,
5,
6,
3,
2,
2,
3,
1,
2,
3,
4,
4,
3,
3,
3,
5,
5,
5,
5,
5,
5,
3,
3,
3,
3,
3,
4,
4,
3,
4,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
6,
4,
4,
2,
4,
3,
3,
4,
3,
3,
2,
3,
4,
2,
4,
4,
4,
4,
2,
1,
2,
2,
3,
2,
2,
3,
2,
2,
3,
3,
4,
7,
3,
3,
2,
2,
4,
4,
4,
4,
4,
3,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
6,
2,
6,
5,
2,
2,
2,
4,
4,
4,
2,
4,
3,
4,
2,
4,
3,
3,
2,
1,
6,
5,
3,
4,
4,
3,
3,
4,
4,
4,
3,
3,
4,
3,
2,
3,
2,
1,
1,
3,
6,
3,
3,
3,
3,
3,
3,
4,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
8,
4,
4,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
3,
2,
3,
2,
4,
4,
4,
2,
2,
2,
1,
4,
2,
3,
4,
4,
4,
4,
6,
2,
2,
3,
2,
2,
3,
2,
5,
2,
3,
3,
4,
5,
3,
3,
2,
2,
1,
2,
3,
4,
2,
3,
3,
4,
3,
5,
4,
6,
3,
4,
4,
5,
4,
4,
2,
2,
4,
4,
4,
3,
1,
2,
3,
5,
5,
7,
4,
2,
3,
5,
4,
5,
3,
5,
4,
4,
4,
4,
3,
3,
2,
4,
4,
2,
3,
2,
2,
3,
3,
1,
4,
3,
3,
3,
6,
2,
2,
3,
3,
4,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
7,
2,
2,
4,
2,
2,
4,
2,
2,
3,
4,
5,
3,
2,
4,
1,
4,
4,
2,
4,
4,
4,
4,
2,
2,
2,
4,
2,
4,
2,
2,
3,
4,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
2,
4,
4,
2,
4,
4,
4,
2,
3,
3,
4,
4,
5,
5,
7,
5,
3,
3,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
2,
5,
2,
4,
4,
6,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
2,
4,
4,
2,
6,
1,
2,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
5,
2,
2,
1,
3,
3,
1,
3,
2,
4,
4,
4,
4,
5,
4,
4,
2,
2,
3,
3,
4,
2,
2,
4,
4,
4,
2,
4,
4,
4,
2,
4,
7,
2,
2,
2,
3,
2,
2,
5,
2,
4,
2,
2,
6,
4,
2,
4,
5,
5,
4,
5,
4,
5,
2,
2,
2,
2,
3,
3,
2,
4,
4,
2,
4,
5,
1,
4,
3,
4,
4,
3,
3,
2,
3,
2,
4,
2,
4,
2,
2,
4,
4,
4,
2,
2,
4,
2,
3,
3,
3,
3,
5,
1,
2,
3,
6,
6,
6,
6,
3,
3,
2,
2,
3,
2,
2,
4,
4,
2,
4,
2,
4,
4,
2,
4,
5,
2,
3,
3,
4,
2,
4,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
3,
2,
2,
2,
4,
4,
4,
4,
1,
4,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
3,
4,
5,
3,
3,
6,
2,
3,
4,
4,
3,
2,
3,
2,
3,
3,
2,
2,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
2,
3,
2,
2,
4,
2,
2,
1,
2,
4,
2,
2,
8,
4,
6,
3,
2,
2,
2,
3,
3,
4,
4,
5,
4,
4,
4,
4,
4,
5,
4,
4,
4,
4,
3,
2,
2,
4,
5,
3,
3,
3,
4,
2,
5,
3,
5,
2,
4,
2,
2,
2,
3,
3,
5,
4,
4,
2,
4,
4,
4,
4,
5,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
3,
4,
2,
2,
3,
3,
2,
4,
2,
4,
3,
4,
2,
2,
2,
3,
3,
4,
2,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
3,
3,
7,
2,
2,
3,
3,
3,
3,
4,
3,
8,
2,
4,
4,
4,
3,
3,
2,
2,
3,
2,
3,
4,
2,
2,
4,
2,
2,
2,
2,
3,
3,
2,
2,
4,
4,
2,
4,
4,
3,
2,
3,
2,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
4,
4,
4,
2,
2,
3,
2,
3,
4,
6,
3,
3,
3,
3,
4,
2,
3,
2,
3,
4,
2,
5,
2,
3,
4,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
4,
3,
4,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
2,
7,
5,
4,
3,
2,
2,
2,
3,
4,
4,
3,
4,
3,
2,
4,
2,
2,
4,
5,
3,
2,
3,
3,
3,
2,
2,
4,
3,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
2,
4,
2,
3,
3,
3,
5,
2,
3,
4,
3,
2,
4,
2,
2,
2,
2,
3,
4,
3,
3,
4,
4,
4,
4,
2,
4,
4,
2,
3,
3,
3,
2,
2,
2,
3,
2,
3,
2,
3,
5,
5,
4,
2,
5,
4,
4,
3,
3,
4,
5,
3,
2,
3,
4,
2,
4,
2,
2,
4,
3,
2,
4,
3,
2,
2,
3,
4,
4,
3,
3,
4,
4,
5,
2,
4,
3,
2,
3,
2,
2,
4,
2,
2,
2,
3,
3,
4,
2,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
3,
2,
4,
6,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
4,
3,
2,
2,
3,
5,
5,
2,
2,
2,
2,
4,
3,
3,
3,
3,
5,
3,
6,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
1,
3,
2,
2,
2,
4,
2,
2,
2,
2,
4,
3,
5,
4,
3,
2,
5,
4,
3,
3,
5,
5,
3,
5,
5,
2,
2,
2,
2,
2,
4,
4,
4,
4,
5,
4,
3,
4,
3,
2,
2,
2,
4,
4,
4,
4,
2,
3,
2,
5,
4,
4,
5,
3,
3,
3,
2,
2,
2,
2,
4,
2,
3,
3,
2,
2,
4,
3,
3,
2,
5,
3,
4,
5,
4,
3,
2,
2,
3,
3,
4,
3,
3,
4,
2,
4,
3,
2,
4,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
5,
3,
5,
4,
4,
3,
3,
4,
4,
4,
3,
5,
6,
2,
5,
4,
3,
5,
2,
3,
3,
2,
2,
2,
6,
3,
2,
4,
2,
2,
4,
3,
2,
3,
4,
3,
3,
2,
2,
6,
2,
3,
2,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
2,
4,
4,
4,
2,
5,
5,
3,
4,
5,
2,
2,
2,
2,
4,
2,
2,
4,
2,
4,
11,
4,
3,
3,
2,
2,
3,
2,
3,
2,
4,
4,
3,
2,
5,
3,
3,
2,
3,
2,
4,
3,
3,
4,
5,
6,
5,
3,
2,
2,
1,
1,
2,
3,
3,
3,
1,
4,
2,
2,
4,
4,
4,
4,
4,
3,
4,
2,
4,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
2,
3,
3,
2,
3,
4,
2,
4,
4,
6,
2,
5,
2,
5,
4,
2,
7,
2,
3,
3,
4,
2,
4,
2,
3,
8,
2,
4,
3,
3,
3,
3,
4,
2,
3,
3,
3,
2,
4,
4,
6,
4,
5,
5,
5,
2,
3,
3,
2,
5,
4,
4,
7,
5,
4,
4,
4,
3,
4,
3,
3,
3,
3,
4,
2,
2,
7,
2,
4,
3,
4,
1,
3,
3,
7,
5,
2,
2,
3,
2,
3,
4,
4,
2,
6,
5,
4,
3,
2,
2,
4,
4,
3,
3,
4,
4,
4,
3,
2,
3,
3,
5,
2,
4,
2,
3,
2,
4,
3,
4,
4,
2,
2,
2,
4,
2,
4,
3,
4,
4,
4,
3,
2,
4,
5,
5,
3,
4,
3,
3,
3,
3,
2,
3,
3,
2,
3,
4,
3,
2,
4,
4,
4,
2,
3,
9,
2,
2,
3,
6,
2,
2,
3,
2,
2,
5,
2,
5,
2,
2,
2,
4,
4,
2,
2,
3,
3,
2,
6,
4,
2,
2,
2,
2,
2,
2,
5,
2,
3,
4,
4,
2,
2,
2,
2,
4,
2,
3,
3,
3,
4,
4,
4,
2,
2,
4,
4,
4,
2,
6,
2,
3,
3,
4,
2,
4,
2,
3,
4,
6,
4,
5,
2,
2,
2,
2,
3,
4,
6,
4,
4,
3,
3,
3,
3,
2,
3,
3,
4,
3,
2,
1,
2,
2,
5,
4,
4,
5,
4,
2,
8,
4,
2,
2,
2,
2,
4,
6,
5,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
3,
2,
3,
2,
2,
2,
4,
3,
2,
4,
3,
4,
4,
4,
3,
3,
3,
2,
3,
3,
2,
3,
5,
2,
2,
4,
3,
2,
3,
2,
2,
3,
3,
3,
2,
3,
1,
5,
5,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
3,
4,
4,
4,
3,
4,
4,
2,
5,
4,
4,
3,
2,
4,
3,
4,
3,
2,
2,
2,
2,
4,
3,
2,
3,
2,
3,
4,
4,
1,
1,
1,
2,
2,
3,
2,
2,
2,
5,
2,
2,
2,
3,
4,
4,
6,
3,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
4,
4,
2,
3,
5,
3,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
3,
2,
4,
2,
5,
4,
3,
4,
2,
2,
2,
4,
4,
2,
3,
3,
3,
2,
3,
3,
3,
2,
6,
2,
2,
4,
5,
1,
3,
3,
2,
2,
4,
2,
2,
2,
2,
4,
2,
1,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
3,
4,
2,
2,
3,
2,
2,
4,
3,
3,
4,
3,
4,
3,
2,
2,
2,
2,
2,
5,
4,
3,
2,
4,
4,
2,
3,
6,
2,
3,
5,
5,
7,
4,
4,
3,
3,
3,
3,
2,
2,
2,
4,
3,
5,
5,
2,
5,
3,
4,
2,
2,
5,
2,
4,
3,
7,
5,
6,
5,
5,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
6,
5,
3,
4,
1,
2,
2,
2,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
3,
2,
6,
3,
3,
2,
7,
7,
4,
3,
4,
3,
2,
3,
2,
2,
3,
4,
2,
3,
2,
2,
3,
2,
2,
2,
2,
1,
2,
2,
3,
2,
3,
3,
4,
4,
2,
2,
2,
3,
5,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
3,
3,
2,
2,
6,
3,
4,
3,
4,
4,
6,
2,
1,
2,
2,
3,
3,
3,
2,
3,
3,
3,
4,
6,
4,
4,
2,
2,
4,
3,
2,
5,
2,
2,
3,
3,
3,
4,
4,
3,
4,
4,
3,
3,
3,
3,
4,
3,
3,
2,
4,
3,
3,
2,
1,
4,
4,
2,
4,
4,
3,
3,
6,
3,
5,
2,
4,
2,
4,
5,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
6,
6,
3,
4,
4,
4,
4,
3,
6,
2,
10,
5,
4,
4,
4,
3,
2,
2,
3,
4,
4,
3,
3,
3,
2,
4,
5,
3,
4,
5,
4,
4,
4,
5,
5,
7,
3,
5,
3,
2,
3,
2,
2,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
5,
2,
4,
5,
7,
2,
2,
3,
5,
2,
2,
4,
2,
3,
5,
2,
3,
3,
5,
2,
4,
4,
4,
2,
3,
3,
2,
2,
3,
3,
2,
4,
2,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
3,
3,
3,
2,
3,
2,
5,
4,
4,
2,
3,
3,
4,
3,
3,
4,
4,
2,
6,
6,
6,
2,
2,
3,
2,
4,
4,
5,
4,
4,
3,
2,
3,
2,
4,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
4,
2,
2,
4,
3,
2,
2,
2,
2,
2,
3,
3,
1,
2,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
4,
2,
4,
3,
2,
3,
1,
2,
4,
3,
3,
2,
2,
4,
6,
4,
4,
4,
4,
6,
3,
4,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
4,
6,
6,
6,
5,
8,
2,
3,
5,
2,
2,
3,
3,
3,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
5,
6,
3,
4,
4,
1,
3,
3,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
4,
4,
3,
2,
4,
4,
2,
3,
3,
3,
3,
3,
2,
3,
4,
4,
4,
2,
2,
4,
2,
2,
5,
4,
4,
4,
4,
4,
4,
3,
4,
2,
3,
2,
1,
2,
2,
2,
5,
4,
2,
3,
4,
2,
6,
2,
3,
2,
4,
2,
1,
1,
2,
3,
4,
4,
3,
3,
5,
8,
3,
3,
3,
2,
4,
5,
4,
4,
2,
2,
2,
2,
3,
10,
2,
7,
4,
4,
4,
4,
4,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
5,
3,
2,
5,
4,
4,
4,
3,
2,
2,
4,
4,
4,
4,
4,
2,
2,
3,
5,
4,
4,
4,
3,
4,
2,
4,
2,
4,
2,
2,
4,
4,
3,
4,
2,
3,
3,
4,
2,
3,
3,
3,
3,
1,
3,
3,
3,
5,
3,
3,
2,
3,
2,
4,
3,
5,
3,
3,
3,
4,
2,
3,
2,
5,
6,
2,
4,
4,
5,
4,
4,
6,
3,
2,
2,
4,
4,
5,
2,
2,
2,
3,
6,
2,
5,
7,
4,
4,
4,
4,
5,
2,
4,
5,
3,
3,
4,
4,
4,
2,
3,
3,
3,
3,
4,
2,
2,
2,
3,
3,
6,
4,
4,
4,
2,
2,
4,
2,
5,
3,
4,
4,
5,
5,
5,
3,
3,
3,
3,
5,
7,
3,
2,
4,
4,
4,
3,
5,
3,
3,
3,
3,
1,
4,
4,
2,
3,
3,
3,
3,
3,
3,
4,
5,
2,
2,
4,
7,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
4,
4,
5,
4,
2,
5,
3,
3,
4,
4,
4,
6,
5,
5,
4,
3,
2,
2,
4,
3,
2,
2,
3,
3,
3,
3,
2,
4,
4,
2,
2,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
1,
2,
2,
3,
3,
3,
3,
4,
4,
2,
3,
3,
2,
3,
2,
3,
4,
3,
4,
4,
4,
5,
4,
4,
4,
4,
4,
7,
4,
4,
4,
4,
3,
2,
3,
2,
3,
8,
3,
4,
4,
3,
4,
4,
2,
4,
4,
4,
3,
4,
3,
3,
3,
3,
3,
4,
2,
3,
3,
2,
3,
3,
6,
5,
4,
4,
5,
3,
4,
4,
4,
4,
4,
4,
6,
6,
4,
4,
2,
4,
2,
2,
2,
4,
3,
2,
5,
5,
4,
4,
1,
3,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
4,
4,
3,
3,
3,
2,
3,
2,
3,
4,
4,
1,
4,
5,
5,
6,
5,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
2,
3,
2,
3,
3,
3,
4,
2,
4,
2,
2,
4,
3,
4,
4,
4,
6,
4,
4,
4,
4,
4,
2,
4,
5,
3,
5,
4,
4,
2,
2,
2,
2,
2,
4,
4,
5,
4,
4,
4,
4,
2,
2,
4,
6,
2,
2,
2,
4,
2,
3,
4,
4,
4,
4,
4,
2,
2,
4,
2,
6,
3,
3,
4,
4,
4,
2,
4,
2,
4,
1,
2,
3,
3,
2,
4,
2,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
6,
3,
3,
3,
4,
2,
4,
3,
4,
4,
3,
3,
3,
3,
4,
2,
2,
2,
5,
3,
3,
4,
4,
3,
2,
3,
2,
3,
4,
3,
2,
2,
2,
2,
4,
2,
3,
2,
2,
4,
4,
4,
5,
4,
4,
3,
2,
4,
2,
2,
2,
4,
4,
4,
6,
3,
2,
3,
3,
4,
2,
3,
3,
2,
4,
4,
2,
3,
4,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
3,
3,
3,
2,
2,
2,
2,
1,
2,
3,
5,
3,
4,
2,
2,
2,
4,
1,
2,
2,
3,
1,
3,
4,
2,
5,
4,
3,
3,
6,
3,
3,
4,
2,
2,
4,
4,
3,
5,
5,
3,
2,
2,
2,
3,
4,
2,
2,
6,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
4,
4,
4,
2,
2,
4,
2,
2,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
7,
3,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
4,
5,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
3,
4,
5,
4,
5,
4,
3,
2,
2,
2,
5,
3,
3,
5,
4,
3,
3,
3,
3,
4,
2,
2,
4,
4,
4,
4,
6,
2,
3,
5,
4,
4,
2,
3,
3,
3,
3,
2,
2,
3,
5,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
3,
2,
3,
3,
3,
5,
5,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
4,
3,
2,
3,
5,
2,
2,
1,
2,
3,
4,
5,
3,
3,
3,
2,
2,
3,
3,
3,
4,
2,
2,
2,
2,
2,
4,
2,
4,
4,
3,
2,
3,
2,
2,
4,
4,
4,
2,
4,
3,
3,
3,
5,
4,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
2,
3,
3,
1,
2,
2,
1,
4,
4,
3,
3,
4,
4,
4,
4,
3,
6,
3,
3,
2,
3,
3,
3,
2,
2,
3,
2,
2,
3,
2,
3,
3,
5,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
2,
6,
4,
4,
2,
4,
4,
4,
2,
2,
3,
3,
4,
2,
4,
4,
3,
2,
2,
2,
3,
3,
4,
5,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
4,
2,
4,
3,
2,
2,
4,
2,
5,
4,
5,
4,
4,
3,
4,
5,
5,
2,
2,
5,
2,
4,
2,
1,
4,
6,
2,
2,
3,
2,
3,
3,
3,
6,
2,
5,
2,
4,
4,
2,
3,
2,
2,
3,
3,
2,
5,
4,
4,
3,
4,
4,
4,
4,
2,
4,
3,
5,
2,
2,
2,
3,
5,
5,
3,
3,
4,
5,
3,
4,
4,
2,
2,
5,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
4,
5,
2,
3,
2,
4,
2,
4,
5,
2,
2,
2,
3,
4,
5,
3,
3,
3,
3,
3,
5,
2,
4,
3,
3,
4,
3,
2,
2,
2,
4,
4,
2,
2,
4,
4,
2,
3,
5,
5,
2,
2,
4,
2,
2,
3,
5,
2,
2,
2,
4,
3,
3,
2,
3,
3,
3,
3,
4,
4,
2,
4,
6,
2,
4,
3,
3,
4,
4,
2,
3,
3,
2,
3,
3,
0,
3,
3,
3,
4,
4,
4,
2,
6,
4,
2,
3,
4,
3,
4,
5,
2,
2,
1,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
4,
5,
4,
3,
3,
2,
3,
3,
2,
2,
3,
4,
3,
4,
2,
5,
4,
4,
4,
5,
4,
3,
3,
4,
4,
2,
4,
4,
4,
4,
2,
3,
2,
4,
5,
5,
5,
3,
3,
3,
3,
4,
2,
5,
7,
3,
3,
2,
4,
2,
2,
2,
2,
2,
6,
2,
4,
5,
5,
4,
3,
2,
3,
3,
3,
4,
4,
3,
3,
3,
3,
2,
2,
4,
4,
5,
3,
5,
4,
3,
2,
2,
3,
3,
4,
4,
3,
3,
2,
3,
4,
2,
2,
2,
3,
3,
2,
3,
3,
2,
2,
2,
4,
2,
3,
3,
5,
5,
4,
4,
5,
3,
3,
3,
5,
3,
2,
3,
3,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
3,
3,
3,
2,
4,
3,
4,
4,
4,
3,
4,
2,
1,
2,
4,
3,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
4,
2,
3,
3,
6,
6,
3,
4,
4,
3,
2,
2,
4,
2,
2,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
2,
2,
4,
3,
5,
3,
5,
2,
4,
2,
4,
3,
3,
3,
3,
3,
1,
2,
2,
2,
4,
6,
4,
3,
2,
2,
4,
3,
7,
2,
2,
4,
2,
1,
1,
2,
4,
4,
3,
2,
3,
5,
4,
5,
3,
5,
5,
3,
5,
2,
5,
4,
3,
1,
2,
4,
3,
4,
2,
3,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
4,
2,
4,
2,
4,
4,
4,
4,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
1,
5,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
5,
2,
6,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
2,
6,
2,
2,
4,
5,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
5,
3,
5,
5,
4,
4,
3,
2,
1,
5,
4,
3,
3,
3,
2,
2,
3,
2,
2,
2,
4,
2,
4,
2,
3,
5,
2,
3,
2,
2,
2,
5,
2,
2,
2,
3,
4,
1,
5,
3,
4,
3,
3,
2,
2,
7,
5,
3,
3,
3,
3,
3,
3,
3,
5,
4,
4,
2,
4,
4,
3,
2,
2,
2,
2,
2,
3,
4,
2,
3,
4,
2,
2,
3,
3,
2,
2,
4,
5,
3,
4,
3,
5,
3,
2,
4,
3,
4,
2,
3,
3,
8,
3,
2,
2,
3,
2,
2,
3,
4,
4,
4,
3,
4,
2,
4,
3,
2,
2,
2,
4,
2,
4,
4,
2,
3,
2,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
5,
3,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
7,
4,
4,
4,
4,
4,
5,
5,
7,
2,
2,
2,
2,
4,
3,
2,
4,
4,
2,
2,
4,
4,
2,
4,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
4,
1,
2,
6,
4,
3,
5,
5,
3,
5,
5,
5,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
3,
3,
4,
2,
4,
2,
3,
2,
2,
2,
3,
4,
2,
2,
2,
2,
4,
7,
5,
3,
3,
5,
5,
7,
7,
4,
5,
5,
3,
5,
4,
4,
6,
4,
4,
3,
4,
2,
4,
3,
2,
2,
4,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
2,
3,
4,
4,
3,
4,
3,
3,
4,
4,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
6,
4,
5,
2,
4,
4,
4,
3,
2,
2,
3,
2,
2,
3,
2,
3,
2,
2,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
6,
2,
2,
2,
2,
3,
2,
4,
5,
3,
2,
4,
3,
3,
3,
5,
5,
3,
3,
3,
4,
4,
2,
3,
3,
2,
2,
4,
4,
2,
6,
2,
3,
3,
5,
4,
3,
3,
3,
3,
4,
4,
3,
3,
4,
2,
1,
2,
2,
4,
4,
4,
4,
3,
3,
6,
3,
4,
2,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
1,
3,
2,
2,
2,
4,
2,
3,
3,
4,
2,
3,
2,
2,
3,
4,
5,
2,
2,
2,
4,
2,
4,
4,
4,
3,
3,
4,
2,
2,
4,
2,
2,
3,
3,
4,
4,
4,
3,
3,
2,
4,
2,
2,
2,
2,
5,
2,
3,
2,
3,
3,
2,
3,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
5,
2,
3,
2,
3,
5,
3,
3,
4,
5,
5,
3,
3,
3,
2,
1,
3,
2,
4,
2,
2,
3,
3,
2,
3,
1,
2,
3,
3,
3,
3,
4,
2,
2,
3,
4,
3,
4,
5,
6,
5,
5,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
5,
5,
4,
2,
3,
4,
2,
3,
4,
7,
2,
5,
4,
4,
4,
1,
2,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
5,
4,
3,
1,
3,
1,
2,
4,
3,
2,
1,
4,
4,
4,
3,
4,
5,
3,
2,
2,
2,
1,
1,
1,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
3,
3,
4,
5,
3,
4,
4,
4,
2,
5,
5,
4,
4,
4,
4,
4,
4,
3,
4,
3,
4,
3,
2,
5,
4,
4,
4,
4,
4,
3,
4,
2,
3,
2,
3,
4,
3,
2,
2,
2,
2,
3,
3,
4,
3,
4,
3,
4,
4,
5,
3,
3,
3,
5,
5,
5,
4,
4,
4,
3,
2,
2,
2,
4,
3,
3,
5,
4,
4,
3,
3,
2,
3,
2,
2,
4,
3,
2,
3,
3,
4,
3,
4,
3,
3,
4,
2,
2,
2,
2,
3,
2,
4,
3,
2,
4,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
4,
4,
2,
2,
4,
2,
4,
2,
4,
2,
4,
4,
4,
3,
8,
2,
3,
3,
2,
2,
2,
4,
4,
3,
3,
2,
4,
3,
2,
2,
3,
3,
3,
2,
4,
4,
4,
2,
2,
4,
3,
2,
3,
2,
4,
4,
1,
3,
4,
4,
3,
7,
2,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
4,
5,
2,
3,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
4,
4,
4,
2,
6,
5,
2,
2,
2,
2,
4,
8,
3,
3,
4,
4,
4,
4,
3,
2,
3,
3,
3,
4,
4,
3,
3,
2,
2,
2,
5,
5,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
3,
6,
2,
4,
2,
7,
2,
3,
3,
3,
5,
3,
3,
2,
4,
4,
4,
4,
2,
5,
2,
2,
4,
3,
4,
4,
5,
4,
4,
4,
6,
3,
2,
5,
2,
4,
3,
3,
2,
3,
2,
3,
2,
5,
3,
4,
8,
3,
2,
3,
2,
4,
5,
3,
3,
3,
5,
3,
4,
2,
4,
4,
3,
3,
3,
4,
4,
3,
4,
3,
4,
4,
3,
4,
4,
2,
4,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
3,
3,
4,
4,
4,
5,
3,
4,
5,
3,
4,
2,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
1,
2,
4,
4,
2,
2,
2,
3,
3,
2,
4,
4,
2,
7,
5,
4,
2,
4,
2,
4,
4,
4,
2,
3,
1,
3,
3,
3,
3,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
3,
4,
3,
2,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
4,
3,
5,
2,
2,
2,
2,
4,
4,
2,
3,
2,
3,
3,
4,
3,
5,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
5,
3,
4,
2,
3,
3,
3,
2,
2,
2,
3,
2,
3,
1,
4,
4,
3,
2,
2,
3,
4,
5,
3,
4,
2,
2,
2,
3,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
4,
5,
2,
4,
4,
4,
4,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
3,
2,
4,
6,
2,
1,
2,
2,
2,
2,
1,
3,
5,
3,
2,
3,
2,
2,
2,
3,
4,
2,
1,
3,
1,
4,
2,
4,
4,
4,
3,
2,
4,
2,
2,
5,
4,
2,
6,
2,
2,
2,
4,
3,
4,
4,
4,
3,
1,
4,
4,
4,
3,
2,
4,
4,
4,
2,
2,
4,
2,
2,
2,
2,
3,
5,
2,
5,
4,
2,
2,
4,
2,
2,
5,
2,
2,
4,
4,
4,
2,
1,
2,
2,
2,
4,
2,
4,
4,
2,
4,
2,
3,
4,
4,
5,
3,
3,
4,
3,
2,
5,
2,
4,
2,
3,
2,
2,
4,
3,
4,
3,
2,
2,
2,
4,
4,
2,
4,
4,
3,
5,
3,
3,
3,
2,
2,
3,
3,
3,
4,
3,
4,
4,
4,
2,
3,
3,
4,
3,
4,
2,
3,
2,
4,
2,
2,
4,
2,
1,
2,
3,
3,
4,
3,
3,
3,
4,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
2,
2,
2,
3,
2,
3,
3,
3,
3,
2,
4,
4,
4,
2,
2,
2,
3,
4,
3,
4,
4,
2,
3,
4,
4,
3,
2,
3,
2,
2,
8,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
6,
4,
2,
4,
4,
4,
3,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
3,
3,
3,
3,
2,
2,
4,
3,
4,
4,
2,
3,
4,
2,
3,
5,
4,
1,
1,
3,
2,
2,
2,
3,
2,
2,
4,
2,
3,
2,
3,
2,
2,
6,
5,
4,
2,
4,
5,
4,
2,
3,
3,
2,
8,
2,
3,
4,
1,
4,
4,
3,
4,
3,
5,
3,
3,
11,
2,
2,
3,
5,
2,
3,
4,
2,
2,
4,
4,
2,
2,
2,
4,
3,
4,
4,
4,
2,
2,
4,
2,
4,
2,
2,
2,
3,
1,
5,
2,
2,
2,
2,
5,
3,
2,
3,
3,
2,
2,
2,
2,
4,
2,
4,
3,
4,
4,
4,
3,
3,
3,
4,
3,
2,
2,
2,
3,
3,
3,
3,
2,
4,
4,
4,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
1,
2,
4,
2,
3,
4,
3,
3,
4,
4,
4,
6,
4,
4,
3,
2,
4,
4,
1,
7,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
3,
2,
4,
3,
3,
4,
8,
4,
9,
4,
5,
3,
2,
2,
2,
4,
4,
1,
2,
3,
3,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
4,
2,
3,
2,
3,
2,
2,
3,
2,
5,
3,
2,
2,
2,
4,
4,
4,
4,
3,
4,
4,
3,
7,
4,
4,
3,
3,
4,
4,
3,
3,
2,
3,
2,
3,
2,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
4,
2,
4,
2,
4,
2,
4,
4,
8,
6,
4,
3,
2,
3,
2,
2,
2,
2,
4,
2,
4,
4,
5,
4,
3,
3,
2,
2,
6,
2,
3,
3,
3,
3,
5,
3,
3,
3,
2,
3,
2,
4,
2,
5,
3,
5,
2,
2,
2,
4,
4,
4,
2,
4,
3,
3,
7,
5,
7,
3,
4,
4,
3,
4,
3,
3,
3,
3,
2,
3,
2,
2,
5,
6,
6,
5,
4,
4,
2,
3,
4,
5,
5,
3,
2,
4,
2,
1,
2,
4,
3,
2,
3,
3,
2,
3,
3,
4,
4,
3,
2,
2,
2,
4,
3,
4,
3,
3,
3,
3,
7,
3,
3,
2,
2,
3,
4,
3,
3,
3,
3,
2,
3,
3,
3,
2,
4,
3,
2,
3,
4,
3,
3,
3,
4,
4,
4,
4,
5,
2,
2,
2,
5,
2,
3,
4,
4,
2,
2,
2,
4,
3,
4,
5,
5,
5,
2,
5,
4,
4,
3,
3,
5,
4,
4,
2,
3,
4,
4,
4,
6,
3,
2,
3,
2,
4,
2,
4,
4,
4,
4,
4,
3,
4,
4,
3,
3,
2,
4,
4,
2,
3,
2,
3,
8,
3,
4,
3,
4,
3,
3,
6,
4,
3,
3,
2,
2,
3,
3,
2,
3,
2,
4,
4,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
4,
4,
3,
3,
3,
2,
3,
3,
5,
5,
6,
4,
4,
4,
6,
2,
2,
2,
2,
4,
3,
3,
6,
6,
2,
4,
4,
2,
2,
4,
7,
3,
4,
3,
5,
4,
3,
3,
2,
2,
4,
2,
2,
5,
2,
2,
3,
4,
3,
2,
2,
4,
4,
3,
3,
3,
6,
3,
2,
4,
5,
2,
3,
4,
2,
2,
4,
2,
1,
3,
2,
4,
5,
5,
2,
4,
4,
3,
4,
4,
4,
4,
4,
3,
2,
2,
5,
4,
4,
2,
2,
2,
3,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
5,
3,
2,
2,
3,
4,
5,
4,
2,
4,
3,
2,
4,
4,
2,
4,
3,
3,
5,
3,
4,
5,
4,
4,
4,
4,
3,
3,
3,
2,
3,
2,
2,
2,
5,
3,
3,
3,
5,
2,
3,
3,
4,
5,
3,
2,
4,
3,
3,
3,
3,
7,
3,
2,
4,
4,
3,
5,
3,
2,
5,
4,
2,
4,
2,
2,
4,
2,
2,
4,
2,
3,
2,
3,
4,
4,
2,
4,
4,
3,
2,
5,
3,
4,
2,
1,
2,
2,
2,
4,
3,
3,
4,
2,
4,
2,
4,
2,
4,
4,
2,
2,
3,
1,
3,
5,
3,
3,
4,
2,
5,
2,
3,
2,
4,
4,
4,
4,
4,
2,
3,
3,
2,
2,
2,
3,
2,
6,
2,
2,
4,
3,
3,
3,
3,
4,
4,
3,
3,
3,
4,
4,
4,
4,
3,
2,
3,
3,
3,
2,
3,
2,
2,
2,
4,
3,
3,
2,
2,
3,
2,
2,
2,
3,
4,
2,
2,
4,
2,
2,
4,
4,
2,
3,
2,
2,
3,
5,
5,
3,
2,
2,
2,
2,
2,
6,
6,
6,
7,
8,
4,
3,
2,
3,
3,
3,
3,
4,
3,
3,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
6,
2,
4,
2,
2,
2,
4,
4,
4,
2,
5,
4,
2,
3,
4,
3,
4,
2,
2,
2,
4,
4,
4,
7,
2,
3,
3,
4,
2,
2,
1,
3,
2,
2,
2,
4,
4,
6,
3,
2,
4,
3,
4,
6,
3,
5,
3,
2,
5,
4,
3,
6,
4,
5,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
5,
2,
3,
3,
3,
2,
2,
1,
2,
2,
4,
4,
4,
4,
2,
4,
5,
6,
6,
4,
4,
4,
4,
1,
4,
4,
3,
3,
3,
2,
3,
2,
3,
3,
4,
2,
4,
2,
3,
2,
2,
4,
3,
4,
4,
4,
3,
3,
2,
3,
4,
2,
3,
2,
4,
3,
2,
5,
5,
2,
2,
2,
3,
5,
2,
5,
2,
2,
3,
3,
2,
4,
4,
3,
4,
4,
3,
4,
4,
4,
2,
2,
4,
3,
2,
2,
2,
3,
4,
3,
2,
3,
2,
1,
3,
4,
4,
4,
2,
3,
4,
4,
3,
3,
3,
3,
8,
4,
3,
2,
3,
3,
3,
6,
2,
4,
3,
3,
4,
3,
5,
2,
2,
2,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
6,
3,
3,
2,
4,
4,
2,
2,
3,
3,
2,
4,
3,
4,
3,
4,
2,
4,
4,
5,
2,
4,
3,
4,
2,
4,
3,
2,
5,
3,
3,
3,
3,
3,
3,
2,
2,
2,
1,
1,
3,
4,
1,
1,
1,
2,
2,
2,
2,
2,
2,
4,
5,
4,
4,
3,
5,
3,
4,
2,
5,
3,
3,
3,
2,
3,
2,
2,
2,
4,
3,
3,
3,
5,
3,
6,
5,
3,
2,
3,
3,
4,
4,
3,
3,
5,
6,
4,
3,
4,
4,
4,
3,
3,
2,
3,
2,
3,
7,
5,
2,
2,
2,
4,
4,
4,
3,
4,
4,
4,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
6,
7,
4,
5,
2,
5,
3,
5,
4,
3,
4,
2,
4,
4,
4,
2,
4,
1,
1,
1,
1,
1,
1,
4,
4,
4,
4,
4,
1,
4,
4,
6,
4,
4,
2,
4,
4,
3,
4,
3,
2,
2,
3,
6,
3,
3,
6,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
3,
2,
5,
3,
2,
3,
4,
7,
5,
3,
4,
5,
4,
5,
3,
5,
4,
4,
4,
4,
4,
4,
3,
1,
3,
3,
3,
3,
2,
7,
3,
4,
3,
2,
6,
6,
6,
3,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
1,
4,
3,
2,
2,
3,
2,
3,
2,
5,
4,
2,
3,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
6,
6,
2,
2,
2,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
1,
3,
2,
2,
5,
3,
3,
3,
3,
3,
2,
5,
3,
2,
3,
2,
4,
3,
2,
3,
3,
3,
2,
4,
4,
2,
4,
2,
2,
2,
3,
4,
3,
3,
2,
2,
3,
4,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
4,
3,
4,
3,
3,
2,
2,
3,
5,
3,
4,
3,
4,
2,
3,
2,
2,
3,
6,
4,
4,
2,
7,
4,
5,
5,
5,
3,
3,
2,
3,
1,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
3,
2,
2,
3,
2,
4,
2,
6,
4,
4,
2,
2,
2,
2,
4,
2,
2,
3,
6,
2,
2,
2,
2,
4,
2,
5,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
5,
8,
2,
3,
3,
2,
3,
2,
3,
3,
4,
5,
3,
3,
4,
2,
3,
3,
2,
5,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
1,
2,
3,
3,
3,
4,
4,
3,
4,
4,
4,
5,
4,
3,
3,
3,
2,
3,
3,
2,
3,
3,
4,
4,
3,
2,
4,
3,
3,
7,
1,
2,
4,
4,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
4,
4,
2,
3,
4,
2,
4,
4,
2,
3,
3,
3,
2,
2,
4,
4,
4,
4,
3,
4,
2,
2,
2,
5,
3,
2,
4,
5,
7,
4,
4,
5,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
4,
4,
4,
6,
4,
4,
4,
3,
3,
3,
5,
9,
4,
4,
2,
4,
3,
1,
3,
2,
3,
2,
1,
3,
3,
5,
5,
5,
5,
5,
3,
4,
3,
3,
3,
2,
2,
3,
4,
4,
4,
3,
2,
7,
4,
2,
3,
3,
4,
3,
7,
4,
3,
3,
4,
4,
1,
2,
4,
4,
2,
3,
5,
1,
3,
2,
4,
2,
2,
2,
2,
4,
2,
5,
3,
6,
3,
3,
4,
4,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
6,
3,
2,
4,
4,
2,
3,
2,
4,
5,
3,
4,
3,
4,
4,
4,
4,
3,
4,
3,
3,
5,
4,
4,
6,
3,
3,
3,
5,
4,
4,
3,
4,
4,
3,
2,
2,
1,
4,
4,
2,
2,
2,
3,
4,
3,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
5,
2,
3,
3,
3,
3,
3,
3,
4,
1,
2,
2,
2,
4,
4,
2,
2,
4,
2,
4,
2,
2,
3,
3,
3,
3,
1,
2,
3,
4,
2,
2,
2,
5,
5,
5,
3,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
5,
4,
4,
2,
5,
2,
3,
3,
2,
2,
2,
3,
3,
5,
2,
3,
3,
2,
4,
3,
2,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
4,
2,
2,
4,
4,
7,
7,
3,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
4,
4,
3,
3,
2,
5,
2,
4,
5,
5,
5,
2,
2,
2,
2,
2,
5,
2,
5,
2,
4,
2,
4,
2,
4,
4,
5,
4,
6,
3,
3,
2,
3,
4,
4,
3,
4,
5,
3,
2,
2,
2,
5,
2,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
3,
2,
4,
2,
2,
4,
3,
4,
5,
5,
4,
3,
3,
4,
5,
4,
4,
3,
3,
4,
3,
3,
4,
2,
4,
2,
3,
4,
2,
2,
3,
4,
4,
4,
3,
3,
2,
3,
3,
5,
3,
3,
3,
3,
6,
4,
3,
3,
3,
4,
3,
4,
4,
3,
3,
2,
5,
6,
3,
4,
2,
2,
4,
3,
3,
7,
2,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
6,
2,
3,
2,
4,
4,
4,
4,
3,
3,
3,
1,
2,
3,
3,
3,
2,
4,
4,
4,
2,
5,
3,
2,
3,
3,
3,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
5,
3,
3,
2,
2,
3,
6,
3,
4,
4,
3,
3,
3,
3,
5,
5,
3,
2,
4,
4,
4,
3,
3,
3,
4,
3,
3,
3,
2,
2,
2,
3,
2,
2,
2,
4,
4,
3,
2,
2,
2,
2,
3,
4,
3,
3,
4,
4,
2,
8,
4,
3,
3,
7,
4,
3,
3,
4,
2,
4,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
2,
3,
3,
3,
4,
2,
6,
3,
4,
3,
3,
4,
4,
3,
2,
4,
2,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
3,
3,
2,
1,
2,
3,
3,
2,
4,
4,
4,
4,
3,
2,
5,
2,
3,
2,
3,
3,
3,
3,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
5,
3,
3,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
2,
2,
3,
2,
2,
5,
4,
4,
2,
3,
2,
3,
3,
4,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
1,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
6,
6,
6,
6,
4,
2,
2,
2,
5,
4,
4,
3,
3,
3,
2,
3,
2,
3,
3,
6,
4,
3,
6,
6,
4,
3,
3,
3,
5,
3,
1,
3,
2,
3,
3,
2,
3,
4,
4,
4,
3,
2,
4,
4,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
7,
4,
4,
4,
2,
4,
3,
2,
4,
4,
5,
4,
4,
4,
2,
2,
2,
3,
2,
2,
4,
3,
2,
2,
2,
2,
2,
4,
4,
2,
3,
3,
3,
4,
8,
5,
4,
3,
2,
3,
3,
6,
4,
4,
5,
6,
4,
4,
2,
4,
4,
4,
4,
4,
3,
2,
4,
1,
4,
2,
2,
3,
4,
2,
2,
4,
2,
4,
4,
4,
4,
3,
4,
3,
2,
4,
4,
2,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
3,
3,
4,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
1,
4,
2,
1,
3,
2,
2,
3,
2,
3,
2,
3,
3,
3,
3,
3,
2,
5,
5,
2,
2,
2,
4,
7,
6,
4,
1,
5,
3,
2,
3,
3,
2,
4,
4,
4,
4,
6,
7,
5,
2,
3,
2,
3,
2,
2,
3,
2,
1,
3,
4,
5,
3,
3,
3,
2,
4,
2,
3,
4,
2,
2,
2,
2,
3,
2,
3,
5,
3,
3,
4,
4,
4,
4,
7,
2,
2,
2,
4,
4,
3,
3,
4,
4,
3,
4,
3,
2,
2,
4,
3,
2,
4,
3,
2,
3,
3,
2,
3,
4,
2,
4,
4,
4,
4,
2,
2,
3,
2,
2,
8,
4,
4,
2,
4,
5,
4,
4,
3,
3,
3,
3,
5,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
2,
2,
3,
3,
2,
4,
3,
2,
2,
2,
6,
3,
3,
4,
3,
3,
4,
2,
2,
3,
5,
5,
3,
5,
3,
3,
4,
4,
4,
3,
7,
4,
2,
2,
4,
4,
4,
2,
3,
3,
3,
2,
4,
2,
6,
3,
4,
4,
4,
4,
3,
3,
2,
4,
2,
2,
3,
3,
3,
3,
3,
2,
2,
4,
4,
2,
3,
2,
2,
5,
4,
4,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
2,
3,
4,
5,
2,
3,
3,
2,
2,
3,
4,
4,
4,
4,
4,
3,
3,
3,
5,
9,
4,
2,
2,
4,
3,
2,
4,
4,
4,
3,
4,
4,
2,
4,
4,
2,
2,
4,
4,
4,
4,
5,
4,
2,
3,
4,
3,
3,
4,
4,
3,
3,
5,
3,
4,
4,
2,
3,
2,
2,
3,
6,
4,
4,
2,
4,
5,
4,
2,
6,
4,
4,
3,
2,
1,
3,
3,
3,
2,
3,
3,
4,
4,
5,
2,
3,
4,
4,
4,
4,
4,
2,
5,
2,
4,
2,
2,
4,
5,
1,
2,
5,
2,
4,
6,
3,
3,
3,
4,
4,
3,
2,
2,
3,
1,
5,
3,
4,
4,
4,
4,
7,
3,
4,
2,
5,
3,
3,
2,
3,
4,
4,
3,
4,
3,
9,
7,
2,
3,
2,
3,
2,
2,
3,
4,
3,
3,
4,
7,
3,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
5,
4,
2,
6,
2,
4,
2,
2,
2,
4,
2,
2,
2,
3,
4,
2,
3,
2,
5,
3,
5,
5,
2,
3,
3,
3,
3,
2,
2,
2,
4,
2,
2,
2,
2,
3,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
3,
2,
2,
3,
3,
4,
2,
4,
2,
2,
6,
3,
4,
2,
2,
4,
3,
3,
2,
3,
2,
2,
4,
2,
3,
4,
4,
2,
4,
2,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
4,
3,
2,
4,
2,
5,
4,
4,
2,
2,
2,
2,
3,
4,
4,
4,
2,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
5,
5,
4,
3,
4,
3,
4,
2,
2,
2,
3,
2,
3,
3,
3,
4,
3,
3,
5,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
3,
4,
5,
2,
6,
3,
2,
4,
4,
4,
2,
4,
4,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
3,
4,
2,
2,
4,
2,
3,
3,
3,
2,
4,
4,
2,
3,
2,
4,
4,
4,
4,
7,
4,
3,
3,
4,
4,
4,
4,
2,
2,
3,
2,
4,
4,
3,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
4,
2,
2,
3,
3,
2,
5,
5,
3,
3,
4,
4,
2,
3,
5,
4,
4,
4,
4,
4,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
4,
2,
5,
2,
3,
3,
6,
2,
3,
2,
2,
2,
5,
7,
2,
2,
2,
4,
4,
2,
2,
4,
2,
3,
4,
2,
3,
4,
3,
4,
2,
4,
2,
2,
2,
4,
3,
4,
4,
2,
4,
3,
3,
3,
2,
4,
3,
2,
4,
4,
3,
3,
4,
2,
1,
1,
2,
3,
1,
1,
9,
4,
5,
5,
5,
1,
1,
1,
1,
2,
4,
1,
4,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
5,
2,
4,
2,
4,
4,
4,
2,
4,
4,
2,
3,
4,
4,
3,
3,
3,
3,
2,
2,
6,
4,
4,
2,
4,
4,
4,
3,
3,
2,
3,
4,
4,
4,
3,
2,
2,
2,
5,
3,
2,
4,
2,
2,
5,
2,
2,
2,
3,
5,
3,
3,
5,
5,
3,
3,
2,
3,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
4,
2,
4,
2,
4,
3,
4,
3,
3,
3,
3,
2,
2,
4,
2,
1,
4,
4,
4,
5,
4,
3,
3,
6,
3,
3,
4,
3,
4,
4,
3,
2,
2,
5,
2,
2,
5,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
2,
3,
2,
2,
4,
6,
4,
4,
6,
4,
4,
4,
2,
4,
2,
2,
6,
3,
4,
2,
3,
2,
2,
2,
2,
2,
3,
3,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
3,
2,
2,
4,
3,
2,
2,
2,
1,
4,
4,
2,
7,
2,
3,
3,
3,
4,
2,
3,
2,
3,
4,
3,
5,
2,
3,
2,
2,
4,
2,
4,
4,
3,
2,
3,
2,
4,
4,
6,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
4,
3,
2,
2,
4,
5,
3,
3,
2,
2,
2,
4,
3,
4,
2,
4,
3,
4,
4,
6,
3,
3,
3,
3,
4,
3,
5,
3,
3,
2,
3,
2,
3,
3,
7,
4,
4,
4,
3,
3,
4,
1,
1,
1,
4,
3,
4,
4,
4,
6,
4,
4,
5,
3,
4,
3,
3,
5,
3,
4,
2,
2,
3,
6,
4,
4,
4,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
1,
2,
3,
4,
2,
3,
2,
4,
3,
2,
2,
3,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
4,
3,
5,
5,
4,
3,
4,
3,
3,
7,
3,
3,
3,
3,
3,
3,
3,
7,
7,
3,
4,
2,
3,
3,
4,
4,
4,
4,
2,
4,
3,
6,
4,
4,
5,
4,
4,
3,
4,
4,
2,
5,
2,
4,
2,
4,
3,
2,
2,
2,
2,
3,
3,
3,
3,
2,
5,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
2,
4,
5,
7,
3,
4,
4,
4,
2,
2,
2,
2,
3,
2,
4,
1,
2,
3,
3,
5,
4,
6,
2,
3,
2,
4,
4,
5,
3,
4,
6,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
1,
2,
2,
2,
2,
3,
3,
5,
4,
4,
4,
4,
2,
2,
4,
5,
3,
4,
2,
4,
2,
3,
3,
3,
3,
4,
6,
2,
3,
2,
2,
3,
2,
2,
4,
2,
3,
2,
3,
3,
2,
2,
3,
2,
4,
2,
3,
5,
3,
3,
5,
2,
3,
2,
2,
2,
2,
2,
3,
2,
3,
6,
4,
5,
6,
3,
2,
4,
4,
2,
2,
2,
2,
3,
5,
5,
6,
2,
2,
2,
2,
2,
4,
3,
2,
3,
3,
3,
3,
4,
4,
2,
4,
6,
4,
6,
6,
4,
4,
2,
3,
2,
5,
3,
3,
2,
3,
3,
3,
5,
4,
4,
2,
2,
3,
4,
2,
3,
5,
2,
5,
2,
4,
2,
2,
2,
3,
4,
6,
3,
2,
3,
2,
2,
3,
3,
3,
4,
4,
4,
6,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
5,
4,
1,
2,
2,
2,
4,
4,
3,
2,
2,
2,
4,
4,
2,
4,
4,
2,
2,
3,
4,
2,
6,
4,
1,
4,
2,
2,
4,
4,
4,
2,
2,
5,
5,
3,
2,
2,
2,
5,
4,
4,
2,
4,
4,
2,
4,
4,
2,
2,
3,
3,
3,
4,
4,
4,
4,
3,
2,
5,
3,
5,
4,
2,
2,
3,
2,
3,
7,
5,
4,
3,
3,
4,
3,
4,
3,
5,
4,
3,
4,
3,
3,
3,
3,
1,
4,
5,
2,
2,
2,
5,
6,
6,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
2,
2,
2,
2,
3,
2,
2,
4,
2,
2,
4,
2,
3,
3,
2,
2,
4,
1,
2,
2,
2,
4,
4,
2,
4,
5,
3,
2,
3,
3,
2,
4,
2,
4,
2,
4,
3,
3,
4,
2,
2,
4,
4,
2,
2,
2,
3,
3,
2,
3,
3,
2,
2,
2,
3,
4,
4,
4,
3,
4,
4,
4,
3,
5,
4,
3,
3,
2,
2,
4,
2,
3,
2,
2,
5,
5,
5,
4,
2,
3,
2,
4,
3,
3,
4,
2,
4,
2,
2,
5,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
2,
2,
2,
4,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
3,
2,
3,
4,
3,
3,
4,
2,
2,
5,
2,
3,
4,
1,
4,
3,
2,
2,
2,
2,
4,
3,
3,
4,
2,
3,
3,
4,
2,
2,
3,
3,
3,
5,
3,
3,
2,
2,
2,
2,
1,
4,
4,
3,
2,
2,
1,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
5,
4,
3,
4,
2,
2,
2,
2,
3,
2,
2,
2,
6,
2,
2,
2,
2,
4,
2,
1,
2,
4,
3,
3,
2,
2,
2,
3,
5,
5,
4,
4,
3,
4,
2,
2,
2,
3,
3,
2,
4,
4,
4,
3,
4,
2,
3,
2,
2,
3,
4,
1,
5,
5,
4,
2,
4,
2,
3,
3,
4,
2,
2,
5,
4,
4,
2,
3,
3,
2,
2,
3,
5,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
4,
4,
6,
4,
3,
4,
2,
3,
1,
5,
2,
4,
4,
4,
4,
2,
4,
4,
5,
1,
1,
4,
5,
2,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
3,
3,
5,
4,
3,
4,
4,
2,
2,
3,
2,
2,
4,
4,
4,
2,
4,
4,
2,
3,
6,
1,
4,
6,
3,
5,
2,
2,
2,
2,
3,
3,
5,
4,
2,
2,
5,
4,
3,
5,
4,
3,
4,
4,
5,
3,
3,
3,
2,
2,
2,
4,
3,
2,
2,
2,
2,
1,
3,
2,
5,
3,
5,
3,
6,
2,
2,
2,
3,
2,
4,
2,
2,
1,
2,
2,
4,
3,
5,
2,
3,
2,
2,
4,
4,
2,
2,
4,
4,
4,
3,
4,
2,
3,
3,
2,
2,
3,
4,
4,
4,
5,
2,
3,
4,
4,
4,
2,
4,
6,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
5,
5,
2,
2,
2,
3,
3,
3,
3,
3,
2,
5,
2,
2,
3,
7,
5,
4,
6,
2,
4,
4,
2,
5,
3,
4,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
3,
2,
2,
4,
4,
4,
2,
2,
3,
3,
3,
4,
2,
3,
2,
5,
2,
2,
4,
2,
4,
5,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
5,
4,
3,
2,
4,
4,
2,
3,
3,
2,
2,
6,
4,
4,
4,
3,
3,
3,
4,
2,
3,
4,
3,
2,
4,
4,
6,
2,
4,
4,
4,
3,
3,
5,
5,
3,
2,
2,
2,
2,
2,
3,
2,
2,
4,
5,
4,
2,
2,
2,
4,
2,
5,
2,
4,
4,
3,
2,
3,
4,
2,
2,
4,
2,
2,
2,
3,
2,
3,
2,
4,
3,
4,
2,
4,
4,
4,
4,
5,
5,
5,
1,
3,
3,
2,
4,
4,
5,
5,
4,
4,
4,
3,
2,
3,
2,
2,
2,
2,
4,
4,
5,
6,
6,
3,
3,
5,
3,
4,
4,
4,
4,
2,
3,
4,
3,
4,
4,
2,
4,
2,
3,
2,
2,
3,
3,
6,
2,
2,
2,
1,
2,
2,
6,
1,
3,
2,
5,
1,
1,
1,
3,
2,
3,
3,
3,
3,
3,
5,
2,
4,
2,
4,
4,
4,
5,
3,
2,
2,
2,
3,
3,
2,
4,
2,
4,
3,
5,
5,
3,
5,
5,
4,
5,
4,
4,
2,
2,
3,
3,
4,
2,
4,
5,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
3,
2,
5,
5,
3,
2,
3,
4,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
2,
3,
2,
4,
2,
5,
3,
2,
3,
4,
4,
4,
3,
4,
2,
4,
5,
2,
2,
1,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
5,
2,
3,
2,
1,
7,
6,
2,
4,
2,
4,
4,
4,
6,
6,
4,
4,
2,
2,
2,
5,
4,
5,
4,
2,
4,
2,
5,
4,
5,
5,
5,
5,
3,
5,
5,
3,
3,
2,
4,
3,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
3,
2,
4,
6,
6,
2,
2,
2,
5,
5,
2,
5,
3,
2,
4,
3,
3,
3,
4,
4,
2,
4,
2,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
3,
2,
3,
6,
7,
2,
2,
4,
4,
2,
3,
3,
3,
4,
1,
4,
3,
3,
4,
4,
4,
3,
3,
4,
5,
2,
2,
3,
2,
4,
5,
5,
4,
5,
3,
3,
3,
5,
2,
2,
3,
2,
2,
2,
4,
4,
3,
2,
2,
4,
4,
4,
4,
1,
2,
2,
3,
4,
3,
3,
7,
3,
3,
3,
3,
2,
3,
3,
4,
2,
3,
3,
4,
3,
3,
3,
2,
4,
4,
4,
4,
3,
4,
4,
2,
4,
4,
5,
4,
7,
4,
4,
3,
3,
3,
3,
4,
3,
2,
2,
4,
4,
3,
4,
4,
3,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
3,
2,
4,
4,
3,
2,
3,
6,
2,
2,
2,
2,
2,
4,
4,
4,
8,
4,
4,
4,
2,
4,
3,
4,
3,
5,
2,
5,
2,
4,
1,
3,
2,
2,
2,
2,
3,
4,
4,
4,
2,
8,
2,
3,
3,
5,
3,
3,
3,
4,
2,
2,
3,
4,
3,
4,
4,
2,
1,
3,
3,
2,
2,
4,
2,
4,
2,
2,
2,
5,
4,
4,
3,
2,
1,
4,
4,
4,
4,
1,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
1,
3,
3,
3,
2,
3,
3,
4,
4,
2,
6,
3,
2,
4,
2,
2,
2,
2,
2,
3,
1,
2,
3,
3,
3,
3,
4,
3,
4,
4,
4,
2,
1,
3,
3,
3,
4,
2,
6,
2,
3,
2,
3,
4,
4,
2,
4,
4,
4,
4,
4,
3,
2,
9,
5,
4,
4,
4,
4,
2,
4,
4,
4,
3,
4,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
3,
4,
3,
3,
2,
3,
2,
3,
2,
4,
4,
4,
3,
4,
4,
2,
2,
3,
3,
3,
4,
3,
4,
4,
3,
2,
2,
4,
3,
2,
4,
4,
2,
4,
3,
4,
2,
4,
5,
4,
4,
3,
4,
4,
4,
2,
4,
4,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
5,
3,
3,
2,
3,
4,
4,
3,
4,
3,
3,
3,
2,
3,
5,
3,
3,
3,
3,
4,
4,
4,
2,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
1,
4,
4,
2,
2,
4,
2,
3,
4,
3,
2,
7,
3,
2,
2,
4,
3,
4,
3,
4,
3,
3,
4,
4,
4,
4,
2,
4,
3,
4,
8,
4,
3,
2,
2,
4,
4,
3,
3,
3,
4,
3,
4,
2,
2,
3,
3,
3,
4,
6,
3,
3,
4,
3,
3,
4,
2,
5,
4,
5,
4,
5,
7,
2,
4,
2,
7,
8,
3,
5,
5,
2,
3,
3,
2,
2,
4,
3,
3,
3,
3,
3,
5,
5,
5,
3,
3,
3,
4,
2,
4,
3,
2,
2,
3,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
3,
4,
2,
3,
3,
3,
2,
4,
3,
4,
2,
4,
2,
3,
4,
3,
2,
6,
2,
2,
3,
2,
2,
4,
4,
2,
3,
4,
4,
2,
4,
3,
3,
4,
3,
2,
2,
3,
3,
3,
2,
3,
5,
4,
5,
3,
2,
2,
4,
2,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
3,
3,
2,
2,
4,
4,
2,
2,
4,
4,
3,
2,
3,
3,
2,
3,
5,
3,
3,
4,
4,
2,
4,
4,
4,
2,
4,
3,
3,
4,
4,
2,
3,
4,
3,
4,
4,
1,
3,
4,
5,
5,
2,
4,
4,
4,
4,
4,
2,
4,
4,
8,
3,
3,
3,
2,
5,
5,
2,
6,
3,
3,
5,
2,
4,
6,
4,
4,
4,
2,
3,
2,
2,
4,
3,
4,
4,
4,
4,
5,
4,
6,
4,
2,
4,
4,
2,
4,
4,
2,
2,
5,
4,
4,
4,
3,
4,
4,
5,
4,
4,
4,
1,
2,
3,
3,
4,
3,
4,
5,
4,
3,
4,
3,
6,
3,
3,
5,
2,
3,
2,
3,
4,
4,
2,
4,
4,
4,
4,
2,
3,
5,
4,
4,
4,
4,
3,
4,
4,
4,
4,
5,
2,
4,
2,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
5,
4,
3,
4,
4,
4,
4,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
2,
4,
4,
5,
5,
3,
2,
2,
3,
5,
3,
2,
1,
2,
3,
4,
4,
4,
4,
3,
3,
5,
4,
2,
3,
3,
3,
4,
4,
3,
3,
2,
4,
2,
2,
2,
3,
2,
4,
3,
3,
5,
5,
4,
4,
3,
2,
5,
2,
4,
2,
5,
3,
4,
3,
3,
4,
4,
4,
2,
4,
3,
4,
1,
4,
2,
2,
4,
2,
4,
3,
5,
4,
4,
6,
3,
4,
3,
3,
3,
2,
3,
2,
4,
2,
5,
4,
4,
4,
3,
2,
3,
4,
4,
2,
4,
3,
3,
3,
5,
2,
2,
6,
3,
4,
4,
2,
3,
3,
3,
3,
4,
3,
5,
5,
2,
5,
3,
3,
5,
4,
4,
3,
4,
4,
4,
3,
2,
5,
6,
3,
3,
3,
3,
2,
4,
4,
2,
2,
1,
4,
6,
6,
3,
6,
3,
3,
3,
4,
3,
2,
3,
2,
3,
3,
4,
5,
2,
2,
4,
4,
1,
2,
2,
4,
4,
2,
2,
2,
4,
3,
4,
2,
5,
4,
4,
5,
4,
2,
1,
3,
4,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
2,
7,
7,
6,
6,
4,
4,
4,
4,
3,
2,
2,
3,
3,
3,
3,
3,
4,
2,
2,
4,
2,
4,
3,
4,
4,
3,
2,
4,
4,
2,
4,
4,
4,
4,
4,
1,
2,
2,
4,
2,
3,
4,
4,
2,
4,
3,
5,
3,
4,
2,
2,
4,
4,
3,
7,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
3,
3,
3,
2,
4,
2,
4,
2,
4,
2,
4,
4,
4,
4,
4,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
5,
2,
4,
1,
4,
4,
2,
4,
2,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
2,
2,
2,
3,
2,
4,
4,
4,
4,
2,
4,
4,
4,
5,
5,
4,
2,
4,
3,
3,
1,
2,
1,
3,
4,
3,
10,
5,
5,
2,
3,
3,
2,
2,
7,
3,
3,
3,
3,
7,
3,
2,
4,
4,
3,
4,
4,
4,
3,
3,
2,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
8,
4,
4,
4,
1,
3,
3,
2,
4,
4,
4,
4,
6,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
5,
3,
3,
3,
2,
3,
3,
2,
3,
4,
2,
3,
3,
4,
2,
2,
5,
2,
2,
2,
2,
3,
3,
4,
4,
2,
3,
3,
1,
4,
4,
4,
2,
4,
5,
2,
4,
2,
2,
3,
2,
4,
2,
1,
2,
2,
2,
3,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
3,
4,
4,
4,
3,
2,
2,
4,
4,
4,
4,
4,
4,
3,
4,
3,
4,
3,
3,
3,
2,
2,
2,
3,
4,
4,
3,
2,
3,
4,
4,
4,
4,
3,
4,
3,
2,
4,
4,
2,
2,
2,
1,
2,
3,
2,
5,
3,
2,
4,
4,
4,
6,
4,
4,
3,
3,
3,
2,
4,
2,
3,
6,
2,
4,
3,
2,
4,
3,
3,
4,
2,
4,
2,
3,
4,
3,
4,
4,
4,
4,
4,
4,
5,
5,
4,
4,
2,
4,
4,
5,
3,
4,
4,
3,
1,
2,
3,
4,
5,
4,
5,
4,
3,
6,
3,
2,
1,
2,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
3,
4,
3,
7,
3,
2,
4,
3,
4,
5,
4,
4,
2,
4,
2,
3,
4,
2,
2,
2,
3,
5,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
5,
3,
1,
4,
3,
3,
3,
2,
3,
2,
3,
3,
5,
3,
3,
2,
4,
4,
2,
4,
4,
4,
4,
2,
2,
4,
3,
2,
4,
3,
3,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
4,
2,
4,
2,
2,
3,
2,
2,
4,
4,
2,
7,
7,
5,
6,
5,
4,
4,
4,
2,
4,
2,
2,
2,
3,
2,
5,
4,
4,
3,
3,
3,
3,
4,
3,
3,
4,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
4,
3,
4,
4,
3,
5,
6,
4,
2,
4,
2,
5,
4,
4,
4,
2,
2,
3,
3,
3,
3,
2,
2,
4,
3,
6,
2,
4,
5,
3,
4,
3,
4,
2,
2,
2,
3,
2,
2,
3,
6,
4,
2,
4,
4,
3,
3,
3,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
6,
6,
3,
3,
3,
5,
2,
3,
3,
4,
2,
2,
4,
4,
4,
4,
2,
4,
2,
3,
2,
2,
2,
1,
2,
2,
3,
3,
5,
4,
2,
2,
2,
2,
5,
3,
2,
3,
2,
3,
3,
3,
4,
1,
2,
4,
1,
4,
4,
5,
4,
4,
2,
2,
3,
2,
3,
3,
5,
2,
4,
4,
4,
4,
3,
4,
3,
5,
5,
4,
4,
4,
4,
6,
2,
2,
3,
4,
3,
2,
4,
4,
4,
4,
3,
2,
2,
2,
4,
4,
4,
2,
2,
3,
3,
2,
2,
3,
3,
2,
3,
4,
4,
2,
4,
4,
5,
1,
4,
2,
2,
4,
4,
4,
4,
4,
4,
8,
3,
4,
4,
4,
4,
4,
2,
2,
3,
4,
2,
4,
4,
4,
2,
2,
2,
7,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
5,
3,
5,
3,
3,
1,
4,
2,
4,
3,
3,
3,
3,
2,
2,
4,
3,
3,
2,
2,
3,
2,
2,
2,
4,
3,
4,
2,
2,
4,
4,
7,
3,
3,
3,
2,
4,
2,
4,
2,
2,
2,
4,
4,
4,
5,
4,
2,
4,
4,
2,
4,
2,
4,
3,
2,
3,
4,
2,
2,
3,
4,
4,
4,
4,
3,
6,
5,
4,
4,
4,
4,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
7,
3,
3,
2,
4,
4,
4,
2,
2,
2,
2,
4,
3,
3,
5,
6,
3,
4,
6,
7,
3,
3,
6,
3,
3,
5,
5,
2,
3,
3,
2,
2,
2,
3,
4,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
4,
3,
2,
2,
3,
3,
2,
4,
2,
2,
2,
3,
4,
3,
3,
4,
3,
4,
1,
3,
3,
3,
2,
4,
4,
5,
4,
4,
2,
2,
2,
4,
2,
5,
3,
3,
3,
3,
2,
2,
4,
3,
3,
2,
4,
4,
4,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
4,
3,
5,
5,
4,
4,
4,
4,
4,
4,
3,
5,
3,
2,
4,
3,
3,
3,
3,
3,
3,
4,
2,
4,
3,
5,
3,
6,
2,
5,
2,
4,
4,
2,
2,
2,
2,
2,
3,
4,
3,
5,
4,
3,
2,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
3,
2,
3,
2,
4,
3,
4,
2,
7,
6,
4,
4,
4,
2,
3,
3,
3,
3,
3,
4,
4,
2,
4,
3,
4,
4,
2,
2,
2,
3,
5,
4,
2,
2,
6,
3,
3,
5,
6,
2,
4,
4,
3,
4,
7,
7,
4,
5,
3,
4,
2,
4,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
4,
4,
4,
4,
3,
4,
4,
2,
4,
4,
2,
3,
2,
2,
3,
4,
2,
2,
5,
3,
4,
2,
4,
6,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
5,
3,
2,
2,
2,
2,
2,
3,
2,
4,
3,
3,
3,
5,
5,
5,
5,
5,
4,
4,
3,
4,
4,
5,
2,
3,
5,
5,
4,
1,
5,
5,
5,
3,
4,
2,
2,
2,
3,
6,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
1,
2,
2,
2,
5,
2,
4,
5,
2,
4,
4,
3,
2,
4,
4,
7,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
5,
2,
2,
3,
4,
4,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
4,
4,
4,
3,
3,
4,
2,
2,
3,
2,
2,
3,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
3,
3,
4,
3,
2,
3,
4,
4,
4,
4,
4,
3,
2,
4,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
5,
2,
2,
5,
1,
2,
4,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
3,
3,
4,
4,
4,
4,
4,
2,
3,
4,
3,
5,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
2,
3,
1,
2,
5,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
4,
3,
7,
3,
3,
3,
2,
3,
2,
4,
4,
2,
5,
2,
2,
4,
3,
4,
4,
3,
2,
3,
2,
3,
5,
5,
5,
4,
2,
2,
2,
2,
3,
4,
4,
6,
3,
5,
2,
2,
2,
3,
3,
2,
5,
3,
4,
2,
4,
3,
2,
2,
2,
4,
3,
4,
4,
6,
4,
6,
6,
2,
4,
3,
2,
2,
4,
5,
4,
4,
3,
4,
4,
3,
3,
4,
3,
3,
4,
3,
3,
3,
2,
2,
3,
4,
2,
2,
2,
2,
3,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
5,
3,
6,
2,
3,
4,
4,
4,
4,
2,
5,
3,
3,
2,
2,
2,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
4,
3,
2,
6,
2,
2,
4,
2,
7,
2,
2,
2,
3,
2,
3,
4,
4,
6,
3,
3,
6,
4,
5,
2,
2,
3,
3,
3,
3,
4,
4,
4,
3,
2,
5,
2,
2,
2,
2,
4,
4,
4,
5,
5,
4,
4,
6,
4,
4,
3,
3,
3,
4,
4,
3,
4,
4,
2,
3,
4,
2,
4,
4,
4,
2,
3,
6,
5,
2,
5,
3,
4,
4,
5,
3,
2,
5,
2,
4,
2,
2,
3,
3,
2,
3,
3,
5,
6,
4,
4,
2,
2,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
4,
4,
2,
3,
3,
3,
5,
5,
3,
4,
2,
2,
2,
2,
2,
4,
3,
3,
4,
4,
4,
4,
2,
3,
2,
3,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
4,
4,
4,
4,
3,
2,
4,
3,
4,
4,
3,
2,
4,
4,
7,
7,
4,
3,
4,
4,
4,
4,
5,
2,
4,
4,
2,
3,
4,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
2,
2,
2,
3,
4,
3,
8,
2,
4,
4,
3,
2,
3,
3,
2,
4,
3,
4,
2,
4,
5,
3,
4,
3,
3,
3,
5,
4,
5,
4,
4,
1,
2,
2,
2,
4,
5,
2,
2,
4,
4,
3,
5,
4,
3,
4,
4,
2,
4,
2,
3,
4,
4,
3,
3,
4,
3,
4,
3,
5,
2,
4,
2,
3,
2,
3,
4,
2,
4,
4,
8,
4,
2,
4,
4,
4,
9,
5,
4,
2,
4,
3,
2,
2,
4,
3,
3,
3,
4,
4,
7,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
1,
3,
4,
3,
2,
2,
5,
8,
3,
4,
4,
2,
2,
2,
2,
2,
5,
2,
5,
3,
3,
4,
2,
2,
5,
4,
3,
3,
2,
2,
4,
2,
3,
2,
4,
2,
2,
7,
4,
3,
3,
4,
5,
4,
4,
4,
2,
2,
4,
4,
3,
2,
4,
4,
2,
2,
1,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
5,
3,
3,
3,
4,
4,
4,
4,
2,
3,
3,
2,
3,
2,
2,
4,
2,
5,
3,
2,
3,
2,
3,
3,
2,
4,
3,
5,
3,
3,
3,
2,
2,
2,
4,
3,
2,
2,
3,
3,
4,
2,
2,
5,
6,
2,
4,
3,
3,
3,
5,
3,
4,
4,
3,
4,
4,
3,
1,
3,
6,
4,
5,
5,
4,
3,
3,
3,
3,
4,
2,
2,
4,
2,
2,
2,
3,
3,
6,
2,
4,
5,
6,
1,
6,
5,
3,
3,
3,
3,
3,
3,
1,
2,
4,
1,
4,
2,
3,
2,
4,
2,
3,
2,
3,
6,
2,
2,
3,
2,
3,
4,
4,
4,
4,
4,
3,
3,
6,
4,
3,
4,
5,
4,
3,
3,
5,
2,
6,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
3,
1,
2,
2,
3,
3,
4,
2,
2,
2,
3,
4,
3,
3,
4,
2,
4,
2,
3,
2,
5,
4,
3,
4,
3,
3,
2,
2,
3,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
5,
7,
7,
3,
6,
4,
4,
3,
3,
3,
3,
2,
4,
2,
4,
3,
4,
2,
5,
2,
3,
4,
2,
2,
3,
3,
3,
6,
5,
6,
3,
3,
3,
3,
5,
5,
4,
7,
3,
2,
2,
6,
2,
1,
2,
2,
2,
2,
2,
3,
2,
5,
3,
2,
2,
6,
4,
2,
3,
3,
3,
4,
5,
2,
2,
2,
4,
4,
4,
4,
3,
3,
4,
4,
3,
2,
2,
4,
4,
3,
3,
4,
2,
2,
5,
4,
5,
2,
4,
4,
3,
3,
4,
5,
4,
2,
4,
4,
4,
2,
4,
4,
5,
2,
6,
3,
4,
4,
2,
2,
2,
3,
3,
3,
4,
4,
3,
2,
2,
4,
2,
2,
4,
3,
3,
2,
2,
2,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
3,
2,
3,
2,
4,
2,
3,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
3,
3,
4,
3,
2,
2,
4,
2,
2,
2,
3,
2,
3,
3,
3,
1,
3,
5,
3,
2,
4,
1,
1,
1,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
2,
4,
4,
2,
4,
5,
4,
2,
4,
2,
3,
2,
3,
1,
3,
2,
5,
4,
2,
2,
1,
1,
2,
1,
3,
3,
2,
3,
3,
2,
5,
4,
5,
2,
2,
2,
6,
4,
3,
3,
3,
3,
3,
3,
4,
5,
3,
3,
2,
5,
3,
4,
2,
2,
2,
4,
4,
2,
2,
3,
3,
3,
2,
3,
3,
4,
2,
2,
2,
4,
5,
2,
4,
3,
4,
5,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
5,
6,
4,
4,
2,
4,
3,
4,
4,
5,
4,
4,
4,
4,
2,
4,
2,
3,
2,
3,
3,
1,
3,
3,
2,
3,
3,
2,
5,
6,
2,
3,
4,
4,
3,
2,
3,
3,
3,
5,
3,
3,
2,
3,
3,
2,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
3,
4,
2,
3,
3,
2,
2,
6,
4,
3,
3,
4,
4,
4,
4,
2,
4,
4,
3,
4,
4,
3,
2,
3,
3,
4,
6,
4,
4,
4,
2,
3,
4,
4,
2,
2,
2,
2,
6,
3,
4,
4,
3,
4,
2,
4,
4,
2,
2,
2,
3,
3,
4,
4,
4,
4,
2,
4,
2,
6,
2,
2,
4,
1,
3,
4,
2,
2,
4,
4,
4,
5,
5,
5,
2,
5,
5,
3,
2,
5,
2,
5,
4,
5,
4,
4,
2,
3,
4,
5,
4,
2,
4,
6,
4,
2,
3,
3,
2,
4,
1,
4,
3,
3,
2,
2,
2,
3,
2,
3,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
2,
2,
1,
4,
4,
4,
3,
3,
4,
3,
2,
4,
2,
2,
3,
4,
2,
3,
2,
3,
3,
3,
3,
3,
2,
2,
6,
4,
2,
8,
3,
3,
2,
5,
4,
4,
2,
2,
2,
1,
2,
2,
4,
4,
4,
4,
3,
3,
1,
3,
5,
3,
3,
2,
3,
2,
5,
3,
4,
2,
3,
3,
4,
7,
2,
2,
2,
2,
3,
2,
4,
4,
2,
5,
5,
2,
4,
2,
4,
2,
3,
3,
2,
4,
4,
4,
4,
4,
2,
4,
4,
2,
3,
2,
3,
2,
3,
4,
3,
4,
3,
2,
2,
2,
4,
5,
5,
5,
3,
2,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
3,
1,
3,
2,
3,
3,
4,
3,
3,
3,
1,
3,
3,
4,
5,
5,
5,
4,
3,
4,
4,
4,
4,
4,
3,
5,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
3,
4,
3,
4,
4,
4,
4,
4,
2,
3,
3,
5,
5,
2,
3,
1,
5,
2,
4,
4,
4,
4,
3,
2,
3,
5,
3,
5,
4,
3,
2,
4,
4,
3,
3,
4,
3,
3,
2,
4,
4,
4,
2,
2,
2,
3,
4,
2,
3,
3,
3,
3,
4,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
5,
2,
4,
2,
2,
1,
6,
2,
4,
3,
2,
1,
6,
3,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
4,
3,
6,
3,
3,
3,
3,
6,
4,
4,
4,
3,
4,
4,
2,
2,
2,
2,
3,
8,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
5,
4,
4,
6,
4,
5,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
3,
4,
7,
5,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
2,
5,
4,
4,
3,
3,
4,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
2,
3,
1,
2,
4,
4,
3,
3,
4,
4,
4,
3,
3,
3,
3,
2,
3,
2,
2,
1,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
1,
4,
1,
1,
4,
4,
4,
5,
2,
2,
4,
2,
2,
4,
2,
4,
3,
2,
4,
2,
3,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
5,
4,
3,
5,
4,
4,
3,
4,
3,
2,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
2,
3,
4,
2,
2,
4,
2,
3,
2,
4,
2,
4,
4,
4,
4,
2,
4,
5,
5,
4,
6,
2,
3,
3,
4,
2,
2,
3,
4,
4,
2,
3,
5,
5,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
4,
3,
6,
4,
2,
2,
2,
3,
4,
4,
3,
2,
5,
3,
1,
3,
2,
2,
2,
2,
2,
5,
2,
3,
3,
4,
4,
3,
7,
4,
3,
4,
3,
4,
3,
3,
2,
4,
5,
3,
3,
5,
4,
3,
3,
5,
4,
4,
6,
6,
3,
1,
3,
4,
4,
3,
4,
4,
3,
3,
3,
2,
3,
5,
3,
4,
4,
6,
1,
3,
4,
6,
2,
4,
2,
2,
4,
3,
4,
4,
4,
2,
2,
5,
4,
3,
5,
4,
3,
5,
3,
5,
2,
3,
5,
5,
4,
3,
3,
2,
5,
2,
2,
2,
2,
2,
3,
3,
3,
5,
3,
3,
3,
3,
4,
4,
4,
4,
4,
1,
2,
4,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
3,
3,
2,
2,
2,
3,
2,
2,
2,
4,
4,
4,
3,
2,
4,
4,
4,
4,
2,
4,
4,
2,
2,
2,
4,
4,
2,
1,
2,
4,
2,
4,
2,
5,
4,
4,
4,
2,
4,
3,
2,
7,
2,
6,
3,
3,
7,
3,
4,
3,
2,
3,
4,
2,
3,
4,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
2,
3,
2,
3,
5,
2,
5,
3,
3,
4,
4,
3,
2,
4,
3,
1,
3,
3,
2,
4,
2,
3,
3,
4,
2,
3,
4,
3,
4,
3,
3,
2,
3,
3,
2,
2,
3,
2,
4,
3,
3,
3,
3,
2,
3,
4,
4,
4,
3,
4,
1,
2,
3,
4,
3,
4,
2,
3,
3,
3,
3,
4,
2,
2,
2,
2,
3,
2,
3,
4,
3,
5,
3,
4,
4,
5,
4,
2,
6,
4,
4,
3,
3,
3,
3,
3,
4,
4,
1,
3,
4,
2,
2,
2,
3,
4,
4,
2,
2,
4,
4,
2,
4,
4,
4,
2,
4,
4,
2,
4,
4,
2,
3,
3,
2,
2,
3,
3,
4,
4,
4,
2,
3,
4,
3,
4,
4,
2,
2,
3,
6,
2,
4,
2,
2,
4,
3,
2,
4,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
3,
3,
4,
3,
3,
3,
2,
2,
2,
4,
4,
2,
4,
4,
5,
3,
5,
3,
3,
3,
3,
2,
4,
3,
2,
3,
5,
3,
3,
2,
4,
3,
5,
2,
2,
2,
3,
3,
4,
2,
4,
2,
2,
5,
3,
3,
1,
3,
3,
3,
2,
2,
3,
2,
2,
4,
4,
4,
5,
3,
3,
2,
4,
3,
2,
3,
3,
5,
2,
4,
2,
2,
2,
4,
3,
2,
4,
4,
3,
3,
4,
4,
5,
1,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
3,
5,
3,
3,
5,
3,
4,
2,
2,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
3,
2,
5,
4,
2,
2,
4,
4,
4,
2,
4,
4,
3,
3,
1,
2,
3,
3,
1,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
5,
5,
3,
3,
2,
2,
3,
5,
5,
4,
3,
3,
2,
4,
4,
4,
2,
4,
2,
4,
5,
3,
4,
4,
2,
3,
2,
3,
2,
4,
3,
2,
4,
4,
4,
2,
3,
3,
2,
2,
2,
5,
3,
6,
5,
3,
3,
3,
3,
4,
3,
2,
3,
2,
4,
4,
6,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
5,
4,
2,
2,
3,
2,
2,
2,
1,
5,
2,
4,
2,
4,
4,
4,
4,
2,
5,
2,
4,
4,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
6,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
2,
5,
2,
2,
3,
2,
3,
2,
3,
3,
2,
3,
7,
4,
8,
4,
2,
4,
2,
2,
2,
2,
3,
5,
2,
2,
3,
2,
3,
2,
2,
3,
1,
3,
2,
2,
4,
2,
3,
3,
2,
8,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
1,
4,
4,
4,
4,
2,
3,
3,
2,
3,
2,
3,
3,
4,
3,
5,
5,
2,
4,
4,
4,
2,
2,
2,
4,
2,
2,
3,
4,
2,
2,
2,
4,
4,
2,
2,
4,
2,
4,
5,
5,
5,
2,
3,
2,
6,
3,
2,
2,
2,
4,
4,
4,
3,
5,
5,
5,
5,
5,
5,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
1,
4,
2,
3,
4,
2,
3,
3,
4,
4,
3,
4,
2,
2,
5,
4,
3,
2,
3,
4,
2,
3,
3,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
5,
4,
3,
3,
3,
5,
3,
3,
2,
2,
5,
2,
2,
2,
2,
2,
4,
2,
4,
4,
3,
6,
3,
2,
4,
3,
4,
3,
3,
3,
4,
4,
4,
4,
3,
4,
3,
4,
2,
4,
4,
3,
4,
3,
3,
4,
2,
2,
2,
2,
4,
3,
3,
3,
2,
2,
2,
3,
4,
3,
3,
2,
5,
2,
2,
2,
2,
2,
4,
2,
3,
4,
4,
5,
4,
4,
3,
5,
4,
6,
4,
1,
4,
3,
2,
2,
2,
5,
3,
2,
4,
2,
2,
2,
5,
4,
2,
1,
2,
2,
4,
2,
2,
2,
3,
4,
4,
2,
3,
3,
3,
3,
2,
3,
4,
3,
2,
4,
4,
3,
3,
3,
2,
2,
2,
3,
4,
4,
4,
4,
2,
3,
3,
3,
3,
4,
2,
4,
4,
3,
3,
3,
3,
2,
4,
4,
3,
5,
4,
7,
3,
6,
2,
3,
3,
4,
4,
2,
4,
3,
2,
2,
1,
4,
5,
2,
4,
7,
4,
5,
4,
5,
6,
3,
3,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
4,
2,
4,
4,
3,
3,
3,
3,
3,
4,
6,
3,
4,
4,
4,
5,
4,
3,
3,
5,
4,
3,
4,
3,
3,
4,
2,
4,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
1,
1,
2,
4,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
3,
1,
2,
2,
2,
4,
4,
3,
4,
3,
3,
3,
3,
2,
2,
3,
3,
4,
3,
4,
4,
4,
2,
2,
2,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
6,
3,
2,
2,
2,
3,
5,
2,
3,
3,
4,
4,
4,
5,
5,
4,
4,
4,
3,
4,
4,
3,
3,
2,
2,
6,
10,
3,
4,
2,
3,
3,
4,
2,
4,
5,
6,
3,
4,
7,
5,
5,
4,
3,
3,
4,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
5,
4,
2,
3,
4,
4,
4,
5,
7,
3,
2,
2,
3,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
5,
4,
4,
2,
4,
2,
4,
4,
5,
4,
4,
3,
5,
4,
4,
3,
4,
4,
4,
4,
6,
3,
3,
3,
2,
4,
2,
2,
2,
1,
5,
4,
4,
3,
2,
2,
4,
3,
5,
2,
2,
4,
4,
4,
2,
3,
2,
6,
3,
3,
4,
3,
3,
5,
5,
6,
4,
5,
4,
6,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
4,
3,
2,
4,
4,
2,
4,
3,
3,
3,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
6,
3,
5,
2,
4,
3,
4,
3,
2,
2,
3,
4,
2,
2,
2,
3,
2,
4,
3,
4,
3,
4,
4,
5,
3,
3,
3,
5,
4,
4,
2,
5,
3,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
4,
6,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
4,
2,
2,
5,
3,
5,
2,
2,
4,
4,
2,
4,
3,
2,
3,
5,
4,
6,
5,
5,
5,
4,
2,
4,
4,
4,
4,
3,
3,
2,
3,
2,
4,
2,
2,
5,
3,
4,
3,
4,
5,
2,
4,
3,
4,
3,
3,
2,
2,
3,
4,
4,
4,
2,
4,
2,
3,
3,
2,
4,
3,
4,
3,
1,
2,
4,
4,
4,
7,
5,
1,
7,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
4,
3,
2,
5,
4,
3,
2,
2,
2,
3,
6,
6,
2,
2,
4,
4,
4,
5,
2,
2,
5,
3,
4,
4,
2,
6,
2,
3,
2,
4,
5,
4,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
4,
3,
3,
2,
3,
2,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
1,
3,
3,
2,
4,
2,
4,
3,
2,
2,
3,
2,
2,
3,
5,
3,
3,
2,
3,
5,
3,
2,
4,
3,
3,
3,
3,
5,
3,
3,
5,
2,
4,
3,
2,
4,
4,
4,
1,
8,
4,
2,
2,
4,
2,
2,
2,
2,
5,
2,
4,
4,
2,
4,
4,
3,
3,
3,
2,
5,
6,
6,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
2,
2,
4,
3,
4,
2,
4,
2,
3,
2,
2,
2,
2,
2,
4,
4,
2,
3,
1,
2,
4,
4,
4,
2,
2,
3,
4,
2,
4,
3,
2,
2,
2,
2,
2,
4,
3,
3,
3,
2,
5,
6,
4,
2,
3,
3,
4,
4,
2,
5,
5,
4,
2,
7,
4,
4,
2,
3,
2,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
4,
3,
4,
2,
3,
3,
3,
2,
3,
3,
2,
4,
2,
4,
4,
2,
3,
3,
3,
3,
3,
2,
3,
2,
5,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
3,
3,
5,
6,
3,
3,
3,
2,
2,
4,
6,
3,
2,
2,
2,
4,
4,
3,
2,
4,
3,
3,
4,
3,
4,
3,
5,
3,
3,
2,
1,
2,
2,
3,
6,
3,
3,
1,
4,
4,
3,
2,
3,
3,
3,
4,
4,
4,
3,
4,
3,
4,
4,
2,
6,
3,
1,
3,
4,
4,
4,
2,
4,
4,
2,
4,
4,
2,
2,
4,
2,
3,
2,
4,
4,
3,
4,
3,
4,
2,
2,
2,
4,
3,
4,
3,
3,
3,
2,
3,
3,
4,
3,
3,
3,
2,
4,
2,
1,
2,
3,
5,
5,
7,
5,
4,
3,
2,
2,
2,
4,
2,
4,
4,
2,
5,
5,
4,
4,
2,
3,
3,
3,
1,
2,
4,
4,
4,
2,
4,
2,
2,
3,
6,
3,
3,
3,
4,
4,
2,
3,
3,
4,
3,
3,
7,
2,
5,
3,
2,
4,
2,
4,
4,
5,
7,
3,
4,
4,
3,
3,
2,
4,
3,
3,
2,
3,
3,
1,
3,
2,
2,
2,
2,
8,
3,
3,
2,
2,
2,
3,
2,
2,
5,
6,
7,
6,
3,
4,
4,
2,
4,
3,
2,
5,
3,
3,
3,
2,
4,
2,
4,
5,
3,
3,
3,
4,
4,
2,
4,
3,
4,
4,
3,
4,
5,
3,
3,
2,
2,
2,
4,
4,
1,
2,
3,
3,
4,
4,
4,
4,
4,
3,
4,
3,
3,
3,
2,
5,
5,
3,
4,
2,
3,
5,
2,
3,
3,
4,
3,
4,
2,
4,
3,
3,
6,
3,
5,
5,
2,
3,
5,
2,
4,
4,
3,
3,
3,
3,
4,
4,
2,
4,
2,
3,
2,
4,
4,
4,
3,
2,
2,
4,
3,
4,
2,
2,
5,
4,
5,
4,
2,
3,
4,
4,
3,
4,
2,
2,
4,
3,
3,
3,
6,
4,
3,
4,
4,
4,
6,
4,
7,
7,
5,
4,
5,
4,
4,
2,
3,
2,
4,
2,
4,
3,
2,
2,
2,
4,
2,
4,
2,
4,
4,
2,
2,
2,
5,
4,
4,
4,
4,
2,
2,
2,
4,
2,
2,
4,
2,
4,
4,
4,
4,
5,
5,
4,
2,
2,
3,
4,
3,
2,
3,
2,
2,
2,
4,
2,
4,
2,
3,
4,
4,
6,
2,
4,
4,
4,
2,
2,
2,
1,
2,
1,
2,
1,
2,
4,
4,
4,
4,
2,
2,
4,
7,
4,
5,
4,
4,
4,
4,
3,
2,
3,
2,
4,
5,
3,
3,
2,
2,
3,
2,
4,
4,
3,
3,
3,
7,
2,
4,
4,
2,
5,
8,
5,
2,
3,
2,
4,
2,
4,
3,
2,
2,
4,
3,
3,
3,
2,
3,
3,
2,
2,
3,
2,
2,
2,
3,
4,
4,
4,
2,
3,
5,
2,
2,
2,
2,
4,
4,
5,
2,
3,
3,
3,
3,
3,
4,
3,
3,
6,
3,
4,
4,
4,
2,
3,
4,
4,
4,
3,
6,
3,
3,
2,
3,
4,
3,
2,
4,
4,
3,
2,
2,
2,
4,
7,
4,
3,
1,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
3,
7,
6,
5,
4,
3,
3,
2,
2,
5,
3,
3,
4,
4,
3,
3,
4,
4,
4,
4,
5,
4,
3,
3,
3,
3,
5,
4,
2,
2,
7,
4,
4,
2,
2,
6,
5,
4,
4,
2,
3,
3,
3,
3,
3,
4,
4,
4,
2,
5,
4,
4,
4,
3,
4,
4,
3,
2,
4,
2,
6,
3,
4,
5,
4,
5,
3,
4,
6,
7,
2,
5,
1,
3,
3,
2,
5,
3,
4,
5,
3,
2,
4,
4,
2,
2,
2,
2,
5,
2,
2,
4,
4,
3,
4,
2,
3,
3,
3,
2,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
2,
4,
2,
2,
2,
3,
2,
2,
1,
2,
3,
5,
6,
2,
4,
4,
4,
4,
2,
4,
4,
4,
5,
2,
4,
4,
4,
5,
2,
3,
4,
4,
2,
4,
4,
2,
4,
4,
4,
4,
3,
2,
4,
4,
4,
3,
2,
3,
3,
4,
4,
4,
4,
3,
2,
4,
3,
4,
3,
4,
4,
4,
4,
4,
3,
3,
4,
5,
4,
2,
4,
3,
4,
2,
2,
2,
3,
3,
4,
4,
4,
6,
4,
3,
3,
4,
2,
2,
2,
3,
2,
2,
3,
4,
4,
2,
3,
4,
4,
3,
3,
3,
4,
3,
3,
4,
3,
1,
8,
4,
3,
3,
2,
3,
3,
3,
3,
3,
2,
5,
2,
3,
3,
3,
2,
4,
6,
2,
4,
4,
6,
2,
2,
2,
2,
2,
3,
2,
4,
4,
3,
2,
3,
4,
4,
4,
2,
4,
4,
4,
4,
2,
7,
2,
3,
3,
3,
3,
6,
3,
2,
2,
3,
4,
6,
3,
6,
4,
2,
2,
5,
2,
4,
4,
4,
4,
3,
4,
4,
5,
4,
2,
2,
2,
2,
3,
3,
3,
3,
4,
5,
4,
2,
2,
4,
6,
5,
2,
4,
7,
4,
4,
3,
7,
4,
4,
7,
3,
7,
3,
4,
1,
3,
5,
2,
2,
2,
2,
3,
3,
3,
3,
2,
3,
4,
2,
4,
3,
2,
1,
3,
2,
3,
3,
2,
3,
3,
3,
4,
2,
6,
2,
3,
4,
2,
2,
2,
3,
5,
5,
2,
4,
4,
2,
4,
3,
4,
2,
2,
4,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
3,
3,
2,
4,
2,
2,
2,
3,
2,
2,
2,
4,
4,
4,
2,
4,
3,
3,
4,
4,
5,
2,
3,
4,
5,
4,
4,
4,
2,
7,
3,
7,
2,
3,
2,
2,
2,
2,
4,
3,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
2,
6,
2,
2,
3,
3,
2,
3,
3,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
4,
4,
6,
4,
4,
4,
8,
4,
3,
3,
3,
4,
4,
3,
3,
3,
5,
4,
5,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
5,
6,
3,
4,
3,
5,
3,
3,
4,
2,
4,
2,
3,
2,
2,
4,
2,
2,
4,
3,
3,
3,
6,
6,
5,
3,
5,
3,
3,
3,
3,
3,
2,
2,
2,
2,
5,
5,
2,
3,
6,
3,
3,
3,
3,
3,
3,
4,
4,
2,
5,
4,
4,
4,
6,
3,
2,
3,
2,
2,
2,
4,
2,
2,
3,
3,
2,
1,
1,
1,
1,
1,
4,
1,
3,
4,
3,
2,
3,
3,
3,
4,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
3,
3,
2,
4,
2,
3,
3,
5,
3,
1,
2,
3,
5,
6,
4,
5,
6,
4,
3,
3,
3,
3,
3,
2,
2,
3,
4,
3,
3,
4,
2,
4,
2,
3,
4,
2,
5,
5,
4,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
5,
2,
4,
4,
2,
2,
3,
6,
3,
3,
6,
4,
2,
5,
5,
4,
4,
3,
3,
3,
4,
4,
4,
4,
8,
3,
4,
3,
5,
2,
2,
3,
3,
3,
3,
2,
2,
4,
2,
6,
4,
4,
4,
4,
3,
1,
1,
4,
5,
5,
7,
6,
5,
2,
4,
2,
4,
2,
4,
4,
4,
3,
4,
2,
5,
2,
2,
2,
2,
3,
3,
2,
3,
4,
4,
5,
2,
7,
6,
2,
4,
4,
5,
3,
2,
3,
2,
2,
3,
2,
4,
2,
3,
2,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
5,
3,
3,
2,
4,
2,
2,
6,
4,
2,
2,
4,
2,
6,
6,
5,
3,
3,
2,
2,
4,
2,
4,
2,
6,
5,
5,
8,
4,
4,
2,
2,
4,
3,
2,
2,
4,
6,
2,
3,
3,
4,
5,
2,
3,
4,
2,
3,
4,
4,
3,
4,
6,
6,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
5,
4,
5,
4,
4,
3,
3,
3,
2,
2,
4,
2,
2,
2,
3,
3,
4,
4,
4,
2,
2,
2,
2,
4,
4,
3,
2,
3,
2,
2,
3,
2,
2,
3,
3,
2,
2,
3,
2,
1,
3,
2,
2,
2,
4,
3,
4,
5,
4,
3,
4,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
3,
6,
5,
7,
5,
5,
6,
5,
2,
3,
3,
3,
3,
4,
3,
2,
4,
4,
2,
4,
4,
2,
4,
2,
3,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
2,
4,
2,
2,
1,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
3,
3,
3,
5,
5,
3,
3,
4,
4,
2,
2,
2,
2,
6,
3,
3,
4,
3,
3,
5,
3,
3,
2,
2,
4,
4,
5,
2,
2,
1,
2,
2,
3,
4,
4,
4,
3,
7,
6,
3,
1,
2,
2,
5,
5,
2,
2,
3,
4,
3,
2,
5,
2,
2,
4,
4,
5,
4,
4,
5,
2,
4,
2,
2,
4,
3,
7,
3,
2,
2,
3,
2,
2,
5,
4,
3,
2,
9,
5,
4,
3,
2,
4,
3,
4,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
5,
2,
3,
3,
4,
3,
3,
6,
4,
2,
2,
2,
5,
3,
3,
3,
5,
3,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
4,
4,
2,
2,
2,
3,
3,
5,
5,
4,
4,
3,
2,
2,
4,
4,
4,
4,
4,
2,
3,
2,
5,
3,
4,
4,
2,
2,
2,
4,
3,
3,
4,
4,
5,
4,
5,
2,
4,
4,
4,
2,
4,
2,
3,
3,
2,
3,
3,
3,
3,
2,
2,
3,
1,
5,
3,
3,
3,
2,
3,
4,
4,
3,
3,
6,
2,
6,
3,
2,
4,
2,
5,
2,
3,
5,
2,
4,
4,
4,
5,
5,
2,
2,
3,
3,
3,
3,
2,
2,
4,
2,
2,
3,
4,
5,
5,
4,
3,
2,
1,
4,
3,
3,
3,
2,
6,
3,
3,
2,
6,
3,
5,
4,
2,
2,
2,
2,
4,
4,
3,
5,
5,
4,
4,
5,
2,
2,
2,
3,
4,
4,
3,
4,
3,
4,
4,
2,
2,
2,
2,
2,
2,
5,
2,
4,
3,
5,
2,
4,
4,
3,
3,
5,
3,
4,
2,
2,
3,
4,
4,
2,
3,
4,
4,
2,
2,
4,
5,
3,
2,
4,
2,
2,
2,
5,
7,
4,
4,
4,
2,
2,
2,
4,
5,
2,
4,
4,
3,
2,
3,
4,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
8,
4,
2,
4,
3,
4,
4,
4,
2,
4,
2,
4,
4,
2,
3,
2,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
5,
2,
2,
3,
2,
3,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
2,
2,
7,
4,
4,
4,
3,
3,
2,
3,
3,
4,
3,
3,
3,
4,
4,
8,
3,
3,
3,
3,
2,
4,
2,
2,
3,
1,
4,
5,
4,
2,
2,
2,
3,
4,
4,
4,
2,
4,
2,
2,
4,
3,
4,
3,
3,
3,
2,
2,
2,
2,
4,
3,
4,
2,
3,
4,
4,
3,
3,
2,
4,
3,
4,
4,
4,
4,
4,
2,
4,
2,
4,
2,
1,
4,
2,
2,
4,
3,
2,
3,
3,
3,
2,
4,
5,
3,
3,
3,
2,
3,
4,
2,
6,
4,
4,
5,
3,
4,
4,
3,
4,
4,
3,
5,
3,
3,
3,
4,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
3,
3,
4,
4,
4,
5,
3,
4,
4,
3,
4,
4,
4,
4,
2,
4,
2,
2,
4,
3,
3,
5,
4,
5,
2,
3,
2,
2,
3,
3,
4,
2,
4,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
2,
4,
4,
6,
2,
3,
2,
2,
4,
2,
5,
5,
4,
2,
2,
4,
4,
2,
3,
3,
3,
3,
3,
2,
6,
6,
2,
2,
4,
1,
2,
6,
3,
3,
5,
3,
3,
2,
4,
6,
4,
2,
3,
3,
3,
2,
4,
4,
5,
5,
4,
5,
4,
4,
4,
6,
6,
3,
4,
3,
3,
3,
4,
2,
3,
3,
2,
2,
3,
4,
4,
4,
6,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
3,
5,
4,
2,
2,
4,
3,
3,
3,
4,
4,
2,
2,
2,
4,
4,
3,
3,
3,
7,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
3,
4,
3,
4,
4,
4,
5,
4,
3,
2,
3,
3,
4,
4,
4,
2,
2,
3,
2,
2,
3,
4,
3,
7,
5,
2,
2,
4,
4,
4,
5,
4,
4,
3,
3,
3,
4,
4,
5,
5,
4,
2,
3,
5,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
3,
3,
4,
2,
2,
2,
2,
2,
5,
6,
4,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
4,
3,
2,
4,
4,
2,
5,
5,
2,
2,
4,
2,
3,
3,
4,
4,
4,
5,
3,
5,
2,
4,
5,
3,
2,
3,
3,
3,
2,
2,
2,
5,
3,
2,
3,
3,
3,
3,
2,
3,
3,
4,
2,
2,
2,
3,
2,
4,
4,
3,
4,
4,
4,
4,
4,
5,
4,
4,
4,
3,
5,
2,
3,
2,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
2,
3,
4,
2,
2,
2,
4,
3,
4,
2,
2,
4,
3,
2,
4,
2,
6,
2,
2,
2,
4,
4,
5,
2,
6,
4,
5,
5,
5,
3,
4,
4,
2,
4,
5,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
3,
3,
3,
4,
2,
4,
2,
2,
5,
2,
3,
8,
3,
2,
3,
2,
5,
5,
2,
4,
2,
1,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
1,
3,
2,
3,
3,
2,
3,
4,
4,
4,
2,
4,
2,
3,
2,
3,
2,
3,
4,
4,
4,
5,
6,
5,
3,
5,
5,
2,
3,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
2,
3,
4,
5,
2,
2,
4,
4,
2,
4,
2,
4,
6,
4,
2,
2,
4,
3,
2,
2,
3,
4,
3,
3,
3,
2,
3,
2,
2,
3,
4,
3,
3,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
5,
5,
3,
2,
4,
2,
2,
4,
2,
4,
4,
6,
4,
3,
4,
4,
6,
4,
4,
4,
3,
5,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
5,
4,
2,
3,
6,
3,
4,
4,
4,
2,
3,
2,
2,
2,
3,
4,
5,
4,
3,
4,
4,
3,
3,
2,
3,
2,
2,
3,
3,
3,
2,
3,
3,
2,
3,
4,
4,
6,
4,
5,
5,
7,
3,
3,
3,
5,
7,
4,
3,
3,
4,
2,
5,
4,
4,
4,
4,
4,
5,
3,
3,
2,
4,
3,
4,
4,
4,
4,
4,
2,
3,
3,
2,
5,
4,
4,
2,
2,
2,
4,
4,
4,
2,
4,
4,
3,
3,
2,
4,
4,
2,
3,
3,
3,
1,
4,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
4,
3,
2,
2,
5,
2,
2,
2,
2,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
3,
3,
2,
3,
4,
4,
4,
4,
4,
2,
2,
4,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
4,
5,
3,
4,
3,
4,
4,
4,
3,
5,
3,
3,
6,
2,
2,
3,
3,
4,
2,
4,
6,
4,
4,
2,
2,
2,
5,
2,
2,
6,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
1,
2,
4,
2,
3,
3,
2,
3,
3,
4,
2,
3,
4,
2,
2,
4,
2,
3,
4,
4,
3,
3,
4,
3,
2,
2,
2,
4,
4,
6,
5,
4,
2,
2,
2,
3,
3,
2,
5,
3,
3,
2,
3,
5,
2,
4,
4,
5,
4,
2,
4,
4,
4,
2,
2,
6,
4,
3,
4,
4,
4,
3,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
2,
4,
4,
2,
2,
3,
3,
3,
2,
3,
4,
5,
4,
4,
2,
3,
1,
4,
2,
2,
2,
2,
2,
1,
4,
4,
4,
5,
2,
4,
5,
5,
4,
4,
3,
5,
3,
4,
3,
2,
3,
2,
2,
2,
2,
3,
2,
3,
2,
2,
3,
2,
3,
2,
3,
1,
3,
2,
2,
4,
4,
4,
6,
4,
4,
2,
2,
4,
4,
2,
2,
2,
3,
2,
4,
3,
4,
2,
2,
3,
3,
4,
3,
4,
3,
3,
5,
3,
5,
5,
4,
4,
2,
2,
4,
2,
2,
4,
3,
4,
3,
6,
3,
2,
3,
5,
3,
1,
2,
2,
2,
3,
7,
2,
4,
4,
5,
2,
3,
2,
4,
6,
3,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
5,
3,
3,
5,
2,
4,
2,
4,
3,
3,
3,
2,
2,
6,
3,
2,
2,
2,
2,
2,
4,
3,
4,
5,
5,
6,
5,
2,
2,
3,
4,
3,
5,
4,
4,
4,
3,
4,
2,
2,
2,
5,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
3,
1,
6,
5,
3,
2,
4,
4,
2,
3,
2,
3,
3,
3,
4,
4,
3,
6,
2,
4,
6,
6,
5,
4,
4,
4,
4,
3,
2,
4,
1,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
2,
3,
2,
2,
3,
2,
5,
7,
5,
4,
3,
3,
2,
2,
3,
4,
2,
2,
2,
4,
2,
4,
4,
2,
2,
2,
2,
3,
5,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
4,
3,
3,
2,
3,
2,
5,
3,
2,
3,
3,
4,
3,
3,
3,
2,
2,
6,
3,
3,
4,
4,
3,
3,
2,
4,
3,
2,
2,
2,
3,
3,
3,
4,
3,
5,
2,
2,
2,
4,
2,
3,
6,
2,
2,
2,
2,
5,
2,
4,
2,
2,
2,
2,
2,
5,
3,
2,
2,
2,
2,
2,
4,
4,
4,
6,
2,
4,
4,
4,
2,
3,
2,
2,
3,
3,
3,
3,
2,
5,
3,
2,
3,
3,
4,
3,
4,
4,
4,
4,
5,
5,
5,
3,
4,
4,
2,
4,
4,
5,
7,
2,
2,
3,
2,
4,
5,
3,
2,
6,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
2,
2,
4,
4,
2,
3,
4,
4,
3,
2,
2,
2,
2,
3,
3,
7,
4,
4,
6,
4,
2,
3,
6,
4,
4,
2,
4,
3,
3,
3,
4,
3,
3,
4,
2,
2,
2,
2,
2,
4,
2,
3,
5,
4,
5,
4,
5,
4,
4,
4,
2,
3,
2,
4,
9,
4,
2,
2,
5,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
3,
2,
2,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
5,
4,
2,
3,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
4,
2,
2,
4,
4,
3,
2,
4,
2,
1,
2,
2,
2,
2,
3,
5,
5,
6,
3,
7,
4,
2,
4,
2,
2,
3,
4,
3,
3,
4,
3,
4,
4,
6,
3,
3,
3,
2,
4,
2,
4,
4,
3,
2,
4,
4,
4,
3,
3,
3,
3,
4,
5,
3,
3,
2,
4,
2,
2,
4,
4,
3,
4,
1,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
2,
2,
3,
4,
5,
5,
5,
4,
4,
2,
5,
4,
2,
2,
3,
3,
3,
3,
1,
3,
3,
4,
4,
2,
3,
4,
3,
5,
3,
3,
5,
2,
2,
3,
2,
4,
2,
5,
4,
2,
2,
3,
3,
3,
3,
2,
4,
3,
3,
2,
2,
2,
3,
2,
3,
2,
2,
4,
4,
3,
3,
4,
2,
4,
4,
4,
3,
3,
5,
2,
6,
4,
2,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
2,
3,
4,
2,
4,
2,
3,
4,
2,
3,
3,
3,
2,
2,
2,
3,
2,
3,
2,
4,
5,
4,
2,
5,
6,
2,
3,
4,
4,
4,
2,
2,
4,
3,
2,
5,
4,
4,
4,
4,
1,
4,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
1,
2,
3,
2,
2,
6,
3,
3,
2,
2,
4,
4,
4,
5,
4,
4,
7,
7,
1,
5,
5,
4,
4,
3,
3,
3,
2,
4,
4,
4,
1,
2,
2,
4,
4,
2,
4,
4,
4,
4,
2,
4,
3,
4,
5,
5,
4,
4,
2,
4,
4,
2,
3,
3,
4,
2,
6,
4,
3,
3,
4,
4,
4,
3,
4,
2,
4,
2,
4,
4,
4,
4,
6,
3,
2,
3,
4,
4,
4,
2,
4,
4,
3,
2,
3,
4,
4,
3,
2,
2,
3,
2,
2,
4,
2,
3,
3,
4,
4,
4,
2,
2,
4,
2,
3,
3,
5,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
4,
4,
3,
5,
5,
5,
4,
4,
4,
4,
5,
4,
4,
1,
3,
2,
4,
3,
3,
5,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
3,
5,
5,
4,
3,
4,
3,
3,
4,
4,
4,
3,
4,
3,
4,
2,
4,
4,
3,
2,
2,
3,
4,
3,
3,
2,
5,
2,
2,
7,
2,
5,
3,
3,
5,
2,
2,
3,
2,
4,
2,
2,
2,
3,
3,
2,
2,
2,
3,
3,
3,
5,
3,
2,
3,
3,
5,
3,
3,
3,
2,
4,
4,
2,
2,
2,
2,
3,
6,
4,
2,
2,
4,
2,
5,
4,
2,
3,
4,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
3,
5,
2,
2,
2,
2,
2,
2,
4,
8,
4,
3,
3,
3,
3,
3,
3,
4,
4,
5,
4,
1,
1,
2,
4,
2,
2,
4,
2,
4,
1,
3,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
3,
2,
5,
3,
3,
3,
3,
4,
3,
5,
4,
4,
4,
4,
2,
4,
6,
3,
3,
3,
5,
4,
3,
4,
5,
2,
5,
4,
5,
2,
4,
4,
4,
4,
2,
2,
2,
3,
2,
4,
2,
2,
2,
1,
2,
3,
2,
2,
2,
3,
3,
2,
3,
3,
4,
3,
2,
3,
2,
5,
5,
5,
4,
6,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
2,
4,
3,
7,
4,
3,
3,
5,
7,
4,
6,
4,
6,
3,
2,
2,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
3,
5,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
3,
2,
2,
2,
4,
3,
3,
4,
4,
3,
3,
5,
2,
5,
2,
3,
4,
3,
4,
4,
3,
2,
3,
4,
4,
3,
4,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
4,
3,
2,
2,
4,
2,
3,
3,
2,
4,
2,
2,
3,
3,
4,
10,
5,
4,
3,
4,
4,
4,
5,
5,
5,
3,
4,
4,
4,
4,
4,
3,
3,
6,
3,
2,
3,
2,
4,
2,
2,
5,
3,
5,
5,
4,
4,
4,
2,
2,
4,
2,
2,
4,
3,
2,
2,
2,
4,
4,
4,
4,
2,
4,
3,
3,
3,
4,
3,
4,
4,
3,
2,
2,
5,
5,
6,
4,
4,
4,
2,
2,
2,
2,
3,
3,
2,
5,
3,
4,
3,
1,
3,
3,
3,
3,
4,
4,
5,
5,
3,
2,
2,
3,
3,
4,
4,
4,
4,
3,
8,
2,
2,
2,
3,
4,
3,
4,
4,
4,
3,
3,
2,
7,
5,
4,
4,
2,
2,
4,
6,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
6,
2,
2,
4,
4,
2,
1,
4,
2,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
3,
3,
6,
3,
6,
3,
3,
4,
3,
3,
2,
3,
4,
3,
5,
3,
2,
3,
5,
2,
2,
4,
2,
4,
4,
2,
4,
4,
3,
4,
6,
3,
4,
4,
4,
2,
3,
2,
5,
3,
3,
2,
3,
3,
3,
3,
4,
2,
2,
2,
4,
2,
4,
4,
2,
2,
4,
6,
6,
4,
3,
3,
6,
6,
4,
4,
3,
3,
3,
2,
5,
4,
4,
3,
5,
2,
3,
2,
3,
5,
5,
4,
4,
4,
3,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
1,
3,
4,
2,
2,
2,
4,
3,
3,
2,
3,
2,
3,
3,
2,
3,
8,
3,
4,
3,
5,
5,
2,
5,
5,
3,
3,
3,
3,
3,
7,
5,
2,
4,
4,
3,
7,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
4,
5,
2,
3,
5,
7,
3,
5,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
4,
4,
2,
2,
4,
4,
4,
5,
4,
4,
2,
3,
6,
3,
3,
3,
4,
2,
4,
2,
1,
4,
3,
4,
4,
4,
4,
2,
3,
3,
3,
2,
4,
2,
4,
4,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
3,
3,
5,
3,
3,
4,
4,
4,
4,
4,
4,
3,
3,
6,
6,
3,
3,
3,
3,
4,
3,
3,
3,
3,
4,
4,
6,
3,
3,
3,
2,
2,
2,
3,
4,
3,
1,
4,
5,
2,
3,
2,
3,
5,
2,
3,
2,
2,
3,
4,
2,
2,
4,
5,
5,
4,
2,
3,
5,
3,
3,
3,
4,
4,
4,
2,
5,
2,
3,
3,
4,
4,
2,
2,
4,
4,
3,
4,
4,
3,
4,
4,
2,
5,
2,
2,
2,
6,
4,
3,
3,
2,
4,
4,
2,
3,
2,
4,
3,
2,
3,
4,
2,
5,
3,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
5,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
5,
5,
6,
4,
2,
2,
4,
2,
2,
6,
2,
7,
2,
4,
5,
3,
4,
6,
4,
2,
2,
4,
2,
3,
2,
2,
3,
2,
4,
3,
3,
6,
2,
2,
2,
2,
5,
4,
2,
2,
4,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
1,
3,
1,
2,
1,
3,
2,
5,
4,
4,
4,
5,
4,
4,
3,
2,
2,
1,
4,
4,
4,
4,
4,
4,
4,
2,
6,
4,
5,
2,
2,
2,
4,
5,
3,
4,
4,
3,
3,
3,
3,
4,
2,
5,
5,
4,
4,
2,
4,
4,
4,
3,
2,
2,
4,
4,
4,
4,
3,
3,
3,
2,
3,
3,
4,
4,
4,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
5,
3,
3,
3,
4,
3,
3,
3,
4,
4,
3,
3,
4,
4,
4,
2,
4,
3,
3,
3,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
3,
7,
7,
2,
2,
4,
3,
1,
2,
3,
3,
2,
2,
2,
3,
2,
3,
4,
4,
3,
3,
2,
4,
3,
2,
2,
4,
3,
3,
3,
3,
3,
2,
1,
2,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
4,
2,
3,
4,
3,
4,
4,
5,
3,
3,
3,
3,
4,
4,
2,
4,
2,
4,
3,
5,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
5,
5,
2,
4,
4,
4,
2,
5,
4,
5,
2,
2,
4,
3,
3,
2,
3,
3,
3,
3,
4,
2,
4,
4,
3,
2,
2,
2,
4,
4,
3,
2,
2,
5,
2,
2,
4,
3,
3,
3,
4,
3,
2,
4,
3,
5,
4,
4,
3,
4,
3,
3,
4,
3,
4,
7,
4,
3,
4,
2,
4,
4,
4,
4,
4,
3,
2,
2,
3,
2,
4,
4,
4,
4,
2,
4,
4,
1,
4,
4,
2,
4,
3,
2,
3,
2,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
2,
4,
4,
2,
2,
6,
3,
3,
3,
3,
4,
4,
5,
4,
8,
8,
4,
6,
4,
2,
4,
4,
3,
3,
5,
3,
2,
2,
3,
4,
2,
4,
2,
3,
3,
2,
6,
2,
4,
3,
2,
8,
4,
4,
6,
6,
6,
6,
3,
6,
4,
2,
6,
2,
4,
3,
5,
4,
4,
5,
5,
3,
3,
2,
4,
2,
3,
4,
3,
5,
4,
3,
2,
2,
5,
2,
2,
6,
2,
2,
4,
4,
3,
2,
2,
3,
3,
2,
3,
3,
2,
3,
2,
4,
4,
4,
3,
5,
5,
4,
2,
2,
3,
4,
4,
4,
4,
2,
3,
4,
6,
5,
2,
6,
4,
2,
3,
3,
2,
2,
2,
2,
5,
3,
5,
3,
3,
4,
2,
4,
5,
3,
3,
3,
4,
2,
3,
2,
3,
2,
4,
2,
5,
4,
3,
5,
4,
3,
4,
4,
6,
3,
2,
2,
2,
3,
3,
4,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
5,
5,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
2,
2,
2,
2,
3,
3,
3,
2,
3,
2,
3,
2,
4,
3,
3,
3,
6,
3,
6,
3,
7,
4,
3,
3,
3,
3,
5,
4,
3,
2,
2,
3,
3,
4,
4,
4,
2,
3,
5,
5,
5,
5,
2,
4,
4,
2,
2,
3,
2,
3,
2,
4,
2,
2,
4,
4,
4,
2,
4,
2,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
5,
3,
1,
3,
3,
3,
4,
4,
4,
5,
5,
7,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
2,
2,
4,
2,
3,
3,
4,
2,
2,
4,
2,
3,
3,
2,
3,
3,
3,
4,
2,
3,
4,
4,
2,
2,
2,
4,
1,
2,
3,
4,
4,
4,
2,
4,
6,
4,
4,
3,
2,
3,
2,
4,
4,
4,
2,
5,
3,
2,
2,
4,
3,
5,
3,
3,
3,
2,
4,
6,
5,
4,
2,
2,
5,
5,
3,
3,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
6,
4,
2,
2,
5,
5,
2,
2,
2,
4,
2,
4,
3,
2,
3,
3,
4,
3,
6,
4,
4,
5,
4,
4,
2,
2,
2,
6,
8,
3,
3,
3,
2,
3,
2,
4,
3,
4,
4,
7,
4,
3,
6,
4,
4,
4,
3,
3,
3,
3,
6,
4,
3,
4,
3,
6,
4,
3,
5,
5,
6,
5,
3,
3,
3,
4,
4,
3,
2,
2,
3,
3,
3,
3,
2,
4,
2,
3,
3,
2,
2,
3,
4,
3,
2,
3,
3,
4,
3,
3,
5,
5,
4,
5,
4,
2,
4,
6,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
4,
3,
3,
2,
3,
4,
2,
2,
4,
2,
2,
4,
4,
4,
3,
4,
2,
2,
2,
4,
2,
2,
3,
2,
3,
3,
3,
4,
4,
6,
4,
2,
4,
3,
2,
2,
2,
5,
3,
3,
3,
2,
2,
7,
3,
4,
5,
3,
2,
3,
2,
2,
2,
3,
3,
3,
3,
2,
4,
3,
3,
3,
2,
3,
4,
3,
4,
3,
4,
5,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
4,
4,
2,
2,
2,
8,
4,
4,
4,
4,
4,
3,
3,
6,
3,
6,
3,
2,
2,
4,
4,
2,
3,
5,
2,
2,
4,
2,
4,
2,
2,
4,
2,
2,
2,
4,
4,
2,
2,
3,
3,
4,
4,
1,
2,
4,
2,
3,
2,
3,
4,
5,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
2,
3,
3,
4,
2,
2,
3,
3,
5,
2,
4,
2,
3,
2,
2,
2,
4,
4,
4,
3,
3,
3,
4,
4,
2,
2,
2,
3,
4,
3,
2,
4,
2,
4,
3,
3,
1,
3,
2,
3,
4,
4,
3,
4,
2,
4,
2,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
5,
2,
4,
4,
4,
4,
6,
3,
3,
3,
3,
3,
3,
2,
4,
4,
3,
1,
3,
5,
7,
7,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
6,
3,
5,
4,
4,
4,
1,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
5,
3,
3,
2,
4,
3,
3,
3,
4,
3,
4,
4,
4,
3,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
3,
2,
3,
6,
6,
6,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
6,
2,
6,
5,
6,
7,
4,
4,
6,
4,
4,
3,
2,
1,
4,
4,
2,
2,
2,
2,
4,
4,
4,
2,
5,
3,
3,
3,
2,
4,
5,
6,
3,
4,
3,
4,
4,
2,
2,
2,
4,
4,
3,
2,
4,
5,
2,
5,
6,
6,
6,
2,
3,
7,
1,
1,
2,
4,
6,
2,
3,
4,
1,
4,
4,
4,
4,
4,
4,
3,
3,
2,
1,
2,
2,
3,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
4,
3,
2,
2,
3,
4,
2,
5,
4,
3,
4,
3,
3,
4,
5,
5,
4,
1,
2,
2,
5,
4,
4,
2,
4,
4,
3,
2,
2,
2,
3,
2,
3,
4,
2,
5,
5,
6,
3,
4,
3,
4,
6,
4,
2,
3,
4,
3,
4,
5,
3,
3,
3,
6,
5,
2,
4,
5,
5,
5,
5,
4,
2,
3,
5,
3,
2,
2,
4,
2,
3,
2,
5,
3,
3,
3,
5,
2,
2,
4,
5,
2,
3,
2,
2,
2,
4,
4,
4,
2,
4,
5,
3,
5,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
3,
2,
4,
3,
3,
1,
3,
3,
2,
3,
2,
3,
2,
3,
3,
3,
3,
3,
3,
4,
5,
4,
3,
3,
5,
3,
4,
4,
4,
4,
4,
3,
4,
3,
3,
4,
4,
4,
4,
5,
4,
2,
2,
4,
4,
4,
3,
2,
2,
2,
4,
4,
4,
2,
2,
2,
3,
3,
5,
4,
3,
4,
2,
3,
4,
4,
2,
4,
4,
4,
2,
3,
3,
3,
3,
3,
5,
2,
5,
3,
1,
3,
2,
2,
2,
2,
3,
4,
4,
2,
2,
2,
3,
3,
3,
4,
2,
3,
2,
4,
5,
3,
4,
1,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
3,
4,
5,
4,
4,
4,
3,
3,
2,
6,
4,
4,
3,
2,
2,
6,
3,
1,
2,
2,
1,
2,
4,
4,
4,
4,
4,
5,
3,
4,
1,
1,
3,
2,
2,
5,
3,
3,
2,
6,
2,
5,
3,
4,
3,
6,
3,
4,
7,
6,
5,
4,
4,
3,
3,
3,
4,
2,
4,
4,
4,
2,
3,
7,
4,
1,
1,
4,
4,
7,
3,
4,
3,
3,
4,
4,
4,
3,
4,
2,
2,
2,
1,
1,
2,
3,
3,
3,
3,
4,
4,
3,
3,
2,
4,
2,
4,
6,
4,
7,
7,
2,
3,
4,
5,
4,
6,
4,
4,
2,
3,
3,
4,
4,
4,
4,
3,
2,
4,
4,
2,
4,
3,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
3,
2,
5,
3,
3,
4,
4,
4,
3,
4,
4,
4,
4,
6,
4,
4,
4,
2,
4,
4,
2,
2,
4,
2,
3,
3,
3,
4,
5,
4,
4,
4,
6,
4,
2,
2,
1,
3,
2,
4,
3,
2,
2,
3,
2,
3,
3,
2,
2,
3,
4,
4,
4,
4,
4,
5,
4,
3,
2,
3,
3,
4,
4,
4,
2,
2,
3,
1,
2,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
4,
3,
5,
3,
6,
4,
3,
2,
5,
3,
2,
3,
4,
4,
3,
3,
3,
2,
2,
2,
4,
4,
2,
6,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
2,
6,
2,
2,
3,
2,
4,
4,
3,
3,
3,
3,
3,
2,
5,
3,
2,
2,
4,
3,
6,
4,
4,
3,
3,
4,
6,
3,
4,
4,
4,
2,
6,
2,
4,
4,
4,
2,
4,
3,
2,
2,
3,
2,
2,
3,
2,
7,
4,
4,
4,
4,
4,
3,
3,
4,
4,
2,
4,
4,
5,
2,
4,
2,
2,
2,
7,
5,
2,
2,
3,
6,
4,
3,
3,
2,
2,
2,
3,
1,
2,
3,
2,
2,
4,
6,
5,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
3,
2,
3,
3,
3,
2,
7,
2,
4,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
3,
3,
5,
2,
3,
4,
3,
3,
4,
4,
4,
4,
4,
2,
4,
3,
4,
3,
2,
2,
2,
5,
4,
3,
3,
2,
3,
5,
2,
4,
4,
2,
3,
2,
4,
4,
4,
2,
3,
2,
2,
2,
3,
3,
2,
3,
4,
4,
3,
2,
4,
4,
4,
4,
4,
5,
3,
3,
3,
3,
2,
4,
4,
2,
2,
4,
4,
2,
4,
2,
3,
4,
4,
4,
2,
4,
3,
3,
4,
4,
4,
2,
2,
4,
3,
4,
2,
3,
2,
5,
6,
2,
4,
4,
4,
4,
2,
1,
3,
3,
4,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
6,
2,
2,
4,
6,
4,
2,
4,
2,
4,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
3,
3,
3,
2,
2,
2,
7,
5,
3,
3,
5,
5,
4,
3,
4,
3,
8,
4,
5,
3,
3,
3,
6,
5,
4,
1,
3,
4,
5,
3,
3,
1,
2,
2,
4,
4,
5,
8,
4,
4,
3,
1,
2,
3,
2,
7,
4,
3,
5,
2,
4,
4,
2,
3,
5,
2,
6,
4,
4,
5,
2,
4,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
4,
4,
3,
3,
4,
3,
2,
3,
3,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
4,
2,
3,
6,
3,
2,
4,
8,
2,
4,
4,
3,
3,
3,
4,
4,
4,
4,
2,
2,
4,
2,
2,
2,
2,
3,
3,
2,
2,
4,
3,
2,
4,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
2,
3,
4,
4,
2,
2,
3,
2,
4,
5,
5,
3,
2,
2,
2,
4,
2,
3,
5,
3,
1,
2,
2,
2,
4,
4,
5,
2,
3,
4,
3,
2,
3,
4,
7,
4,
3,
2,
4,
4,
4,
2,
1,
4,
3,
4,
4,
3,
3,
3,
2,
6,
2,
4,
4,
3,
2,
2,
4,
4,
3,
1,
2,
3,
5,
3,
4,
3,
2,
5,
2,
3,
4,
4,
3,
3,
2,
2,
3,
3,
4,
4,
3,
3,
3,
4,
3,
4,
2,
3,
3,
5,
4,
2,
2,
2,
4,
2,
2,
5,
3,
4,
2,
5,
3,
4,
3,
3,
4,
4,
2,
2,
2,
3,
3,
2,
4,
2,
4,
1,
2,
2,
2,
4,
4,
4,
3,
2,
3,
4,
6,
2,
4,
4,
2,
2,
2,
5,
3,
2,
2,
2,
2,
3,
3,
2,
4,
4,
2,
2,
4,
2,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
6,
4,
5,
3,
3,
4,
2,
2,
4,
4,
2,
8,
4,
3,
5,
3,
2,
4,
4,
4,
2,
2,
4,
5,
4,
4,
4,
3,
3,
3,
2,
3,
2,
3,
6,
2,
2,
2,
2,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
3,
4,
3,
3,
5,
5,
8,
4,
3,
4,
3,
3,
4,
3,
1,
4,
4,
4,
4,
4,
2,
2,
4,
2,
3,
2,
2,
6,
4,
4,
3,
2,
2,
4,
2,
2,
4,
6,
4,
4,
3,
2,
3,
3,
2,
4,
3,
3,
4,
2,
5,
5,
5,
4,
4,
4,
4,
4,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
3,
4,
4,
3,
4,
4,
5,
4,
3,
3,
2,
4,
4,
2,
3,
2,
5,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
6,
3,
5,
4,
5,
2,
2,
5,
5,
4,
2,
2,
3,
4,
2,
4,
3,
4,
4,
3,
5,
4,
2,
2,
4,
4,
2,
4,
4,
4,
3,
4,
2,
4,
3,
8,
2,
4,
2,
3,
4,
6,
6,
4,
4,
2,
2,
4,
3,
3,
5,
2,
5,
7,
5,
1,
4,
2,
2,
4,
2,
6,
6,
3,
3,
4,
4,
3,
4,
4,
4,
4,
3,
2,
2,
5,
4,
4,
4,
2,
4,
2,
3,
4,
2,
2,
4,
4,
4,
3,
3,
4,
4,
5,
3,
3,
4,
3,
3,
4,
3,
2,
4,
4,
3,
2,
3,
4,
2,
3,
2,
3,
3,
4,
3,
2,
2,
4,
4,
4,
4,
2,
2,
2,
3,
2,
2,
4,
2,
4,
4,
2,
4,
3,
2,
4,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
1,
1,
5,
5,
3,
2,
3,
4,
4,
2,
4,
2,
4,
2,
2,
4,
2,
4,
4,
2,
3,
2,
4,
3,
4,
4,
3,
2,
2,
2,
2,
2,
4,
4,
4,
6,
4,
2,
4,
2,
3,
4,
4,
3,
2,
4,
4,
2,
6,
2,
2,
2,
2,
2,
4,
2,
2,
4,
3,
2,
2,
3,
3,
3,
4,
4,
2,
2,
5,
7,
6,
2,
2,
3,
4,
2,
2,
2,
4,
4,
4,
4,
3,
3,
3,
2,
3,
4,
5,
4,
5,
6,
6,
5,
3,
2,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
5,
3,
3,
3,
3,
3,
3,
3,
3,
5,
2,
5,
5,
3,
3,
3,
3,
3,
3,
4,
4,
4,
5,
5,
2,
2,
3,
2,
2,
2,
4,
5,
4,
4,
2,
2,
4,
2,
5,
3,
5,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
3,
4,
3,
3,
4,
9,
4,
3,
2,
3,
3,
4,
2,
4,
2,
2,
2,
2,
3,
5,
2,
2,
6,
2,
2,
3,
2,
4,
5,
2,
4,
2,
4,
4,
2,
4,
3,
3,
3,
3,
4,
3,
3,
4,
4,
6,
4,
3,
4,
6,
3,
3,
2,
2,
3,
4,
3,
3,
3,
3,
3,
4,
3,
3,
4,
2,
3,
3,
5,
4,
4,
2,
2,
2,
3,
3,
5,
4,
5,
4,
2,
2,
4,
7,
5,
5,
6,
4,
4,
4,
4,
4,
3,
7,
4,
3,
4,
3,
3,
2,
3,
3,
2,
4,
4,
4,
4,
2,
4,
5,
4,
2,
2,
4,
3,
3,
3,
3,
4,
2,
4,
4,
2,
4,
4,
4,
3,
4,
4,
3,
5,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
5,
3,
4,
4,
4,
2,
4,
2,
3,
2,
3,
3,
3,
3,
5,
3,
4,
4,
5,
5,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
2,
6,
3,
2,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
6,
3,
3,
4,
2,
2,
2,
3,
3,
2,
3,
3,
2,
4,
3,
2,
4,
9,
2,
4,
6,
4,
2,
2,
2,
2,
2,
3,
3,
3,
2,
4,
4,
4,
2,
2,
4,
4,
2,
3,
4,
3,
3,
4,
2,
3,
2,
3,
4,
4,
4,
4,
5,
2,
4,
4,
4,
2,
2,
2,
2,
4,
3,
2,
2,
2,
4,
4,
2,
3,
3,
4,
7,
3,
5,
5,
5,
2,
2,
3,
2,
2,
4,
6,
2,
2,
4,
3,
4,
3,
3,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
4,
3,
2,
7,
5,
4,
4,
4,
4,
4,
3,
4,
1,
3,
2,
2,
2,
2,
2,
2,
2,
1,
4,
2,
2,
5,
5,
3,
3,
3,
5,
2,
5,
5,
4,
2,
2,
4,
2,
2,
3,
4,
3,
1,
2,
2,
2,
3,
5,
2,
3,
1,
3,
3,
4,
4,
8,
5,
2,
3,
3,
3,
2,
4,
4,
2,
2,
2,
3,
3,
4,
2,
2,
6,
2,
1,
1,
1,
2,
2,
1,
3,
4,
4,
3,
2,
4,
3,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
6,
5,
2,
6,
6,
3,
6,
4,
4,
4,
4,
4,
4,
2,
2,
4,
1,
4,
3,
4,
5,
4,
4,
4,
5,
2,
4,
6,
2,
2,
3,
4,
4,
3,
4,
4,
2,
4,
3,
2,
4,
4,
3,
2,
3,
4,
3,
3,
2,
2,
2,
3,
4,
2,
2,
3,
2,
2,
2,
4,
2,
3,
4,
3,
3,
3,
3,
6,
5,
5,
5,
3,
6,
2,
2,
3,
1,
3,
3,
3,
4,
3,
1,
2,
3,
3,
4,
3,
2,
4,
4,
4,
4,
4,
4,
5,
2,
3,
7,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
4,
3,
5,
3,
3,
3,
3,
3,
4,
4,
1,
2,
2,
6,
5,
5,
5,
3,
2,
4,
4,
2,
4,
4,
2,
2,
1,
3,
3,
3,
4,
3,
3,
3,
3,
5,
4,
3,
4,
4,
4,
2,
4,
4,
4,
3,
4,
2,
2,
4,
4,
4,
2,
2,
2,
3,
2,
2,
3,
4,
4,
4,
3,
3,
3,
3,
4,
6,
6,
8,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
3,
3,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
5,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
4,
1,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
4,
2,
2,
2,
3,
3,
3,
4,
3,
3,
1,
2,
2,
2,
3,
3,
4,
4,
4,
4,
4,
6,
2,
4,
4,
3,
4,
4,
3,
3,
1,
3,
3,
2,
2,
2,
3,
3,
4,
5,
4,
2,
5,
3,
2,
4,
4,
4,
4,
3,
4,
4,
4,
3,
3,
4,
5,
2,
3,
4,
4,
5,
4,
2,
5,
3,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
1,
4,
3,
3,
3,
3,
3,
3,
7,
3,
2,
3,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
5,
2,
2,
4,
3,
2,
3,
3,
2,
2,
4,
3,
4,
3,
4,
4,
4,
5,
4,
5,
4,
5,
4,
3,
4,
6,
2,
3,
4,
4,
5,
4,
4,
2,
4,
3,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
6,
5,
4,
4,
5,
4,
4,
4,
6,
2,
2,
4,
3,
6,
8,
6,
3,
3,
4,
5,
5,
5,
3,
2,
3,
4,
2,
2,
3,
2,
5,
6,
2,
2,
2,
4,
2,
2,
3,
4,
3,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
2,
3,
2,
4,
3,
4,
3,
3,
3,
4,
2,
4,
4,
2,
4,
2,
2,
3,
2,
2,
2,
4,
8,
3,
3,
4,
1,
3,
3,
3,
2,
3,
4,
4,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
5,
3,
5,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
3,
3,
2,
2,
5,
3,
4,
2,
4,
3,
5,
5,
4,
6,
6,
4,
4,
3,
7,
3,
3,
3,
2,
2,
1,
4,
2,
4,
3,
2,
2,
3,
3,
4,
4,
2,
2,
2,
3,
3,
4,
2,
4,
4,
2,
2,
2,
2,
3,
4,
3,
4,
4,
4,
6,
2,
6,
2,
4,
2,
3,
4,
4,
4,
4,
3,
3,
5,
3,
4,
3,
4,
4,
3,
3,
3,
3,
3,
2,
5,
4,
3,
2,
6,
4,
4,
3,
2,
3,
4,
2,
2,
2,
5,
2,
2,
3,
2,
4,
5,
6,
2,
4,
4,
3,
3,
4,
7,
4,
3,
4,
4,
2,
3,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
3,
5,
5,
3,
3,
3,
2,
6,
5,
3,
4,
4,
2,
5,
4,
2,
3,
4,
4,
4,
3,
4,
3,
6,
4,
4,
4,
3,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
1,
4,
3,
2,
2,
3,
4,
3,
8,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
5,
3,
4,
2,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
2,
2,
4,
2,
2,
4,
4,
3,
7,
4,
1,
1,
1,
3,
3,
2,
3,
3,
3,
3,
2,
3,
4,
3,
2,
4,
5,
2,
2,
2,
3,
3,
4,
2,
2,
2,
4,
4,
4,
4,
2,
3,
3,
4,
3,
2,
4,
3,
5,
5,
3,
1,
4,
3,
4,
4,
4,
4,
2,
3,
2,
3,
5,
6,
7,
3,
4,
4,
2,
6,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
2,
3,
2,
2,
3,
4,
4,
7,
6,
2,
4,
4,
4,
3,
4,
2,
2,
3,
2,
2,
4,
3,
3,
5,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
7,
3,
2,
2,
4,
2,
2,
4,
2,
3,
2,
2,
2,
3,
4,
3,
4,
3,
3,
4,
4,
4,
4,
3,
3,
3,
3,
4,
3,
3,
5,
2,
3,
3,
4,
3,
3,
3,
3,
3,
7,
5,
5,
5,
4,
4,
3,
3,
4,
3,
2,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
4,
2,
4,
4,
3,
4,
3,
3,
3,
3,
3,
5,
3,
3,
4,
3,
5,
7,
6,
2,
3,
6,
2,
5,
4,
4,
3,
4,
3,
3,
3,
3,
5,
3,
3,
3,
5,
4,
4,
4,
3,
3,
4,
5,
5,
2,
2,
4,
4,
7,
4,
5,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
5,
3,
2,
3,
4,
4,
4,
4,
2,
2,
3,
2,
4,
4,
3,
2,
2,
3,
3,
2,
3,
2,
2,
4,
7,
3,
3,
4,
5,
5,
6,
5,
5,
2,
3,
3,
2,
4,
3,
4,
4,
2,
5,
4,
4,
4,
4,
3,
4,
5,
3,
2,
4,
3,
5,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
3,
4,
3,
4,
2,
2,
2,
3,
4,
4,
4,
2,
3,
3,
2,
3,
3,
4,
1,
4,
4,
4,
2,
2,
2,
4,
2,
4,
3,
4,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
4,
4,
4,
4,
3,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
2,
3,
4,
6,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
4,
2,
2,
3,
2,
2,
3,
3,
4,
4,
2,
2,
4,
2,
3,
2,
2,
2,
2,
4,
3,
4,
4,
3,
2,
3,
2,
4,
4,
2,
4,
2,
4,
3,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
3,
5,
4,
4,
4,
4,
4,
3,
4,
4,
3,
3,
4,
2,
2,
2,
2,
5,
4,
3,
4,
2,
4,
4,
3,
3,
5,
6,
3,
4,
4,
2,
2,
3,
3,
3,
5,
6,
4,
3,
5,
4,
4,
2,
4,
5,
3,
3,
4,
3,
2,
3,
2,
2,
3,
3,
3,
3,
4,
4,
3,
3,
4,
3,
5,
6,
5,
2,
4,
5,
3,
4,
2,
3,
2,
3,
3,
4,
2,
3,
2,
3,
4,
2,
4,
3,
5,
4,
3,
5,
5,
3,
3,
3,
3,
2,
2,
4,
6,
3,
4,
2,
2,
2,
2,
3,
3,
4,
3,
2,
3,
1,
3,
3,
1,
1,
3,
5,
3,
4,
4,
3,
2,
2,
3,
4,
4,
4,
4,
4,
3,
4,
3,
3,
3,
5,
2,
6,
3,
4,
3,
2,
3,
3,
3,
4,
2,
4,
5,
5,
2,
4,
2,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
3,
4,
2,
2,
4,
4,
5,
5,
1,
5,
4,
2,
2,
5,
2,
4,
4,
4,
3,
4,
3,
4,
3,
2,
3,
2,
4,
3,
5,
5,
5,
5,
3,
3,
3,
3,
1,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
5,
4,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
5,
5,
5,
5,
4,
4,
4,
5,
2,
3,
2,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
7,
8,
6,
4,
3,
4,
4,
2,
3,
2,
5,
4,
3,
5,
2,
5,
4,
2,
3,
3,
3,
3,
2,
4,
6,
4,
4,
2,
2,
3,
3,
7,
3,
4,
4,
3,
4,
3,
5,
3,
3,
3,
3,
3,
3,
3,
2,
3,
5,
4,
2,
2,
3,
3,
4,
3,
3,
4,
4,
6,
2,
2,
2,
2,
2,
2,
4,
4,
5,
2,
3,
4,
2,
2,
4,
3,
4,
4,
3,
5,
4,
3,
3,
4,
4,
5,
7,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
3,
4,
2,
4,
4,
5,
4,
4,
3,
3,
2,
3,
6,
2,
2,
2,
2,
3,
4,
4,
2,
2,
4,
4,
4,
3,
3,
3,
2,
2,
3,
3,
3,
3,
4,
4,
5,
4,
5,
3,
3,
3,
3,
6,
4,
5,
4,
6,
3,
3,
4,
2,
3,
4,
2,
4,
3,
3,
2,
2,
4,
3,
3,
3,
2,
2,
1,
2,
2,
2,
5,
2,
4,
5,
4,
4,
4,
3,
2,
4,
3,
2,
2,
2,
3,
3,
3,
4,
3,
3,
4,
2,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
1,
2,
2,
2,
4,
4,
4,
4,
1,
3,
2,
2,
4,
5,
4,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
5,
2,
2,
3,
2,
4,
4,
3,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
4,
3,
3,
4,
2,
2,
3,
4,
4,
2,
4,
4,
2,
2,
1,
2,
4,
2,
3,
3,
7,
2,
2,
3,
4,
5,
4,
3,
4,
3,
3,
4,
2,
3,
4,
3,
3,
2,
5,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
2,
4,
4,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
4,
4,
3,
2,
3,
4,
2,
2,
3,
6,
6,
4,
3,
3,
3,
2,
2,
2,
5,
3,
3,
3,
2,
3,
2,
3,
2,
3,
2,
5,
2,
4,
2,
2,
3,
2,
4,
4,
3,
3,
4,
3,
3,
4,
5,
3,
2,
4,
4,
5,
6,
3,
6,
4,
4,
8,
5,
2,
3,
2,
2,
2,
2,
3,
6,
5,
3,
7,
4,
4,
5,
2,
4,
4,
3,
3,
3,
3,
4,
4,
4,
3,
4,
4,
3,
3,
3,
3,
4,
4,
3,
3,
2,
3,
4,
3,
4,
2,
2,
3,
3,
3,
2,
5,
3,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
4,
2,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
3,
2,
2,
4,
2,
4,
4,
2,
2,
3,
2,
2,
4,
2,
2,
2,
3,
2,
4,
2,
3,
3,
3,
3,
4,
5,
2,
3,
4,
4,
4,
2,
3,
5,
4,
2,
2,
4,
3,
3,
3,
3,
4,
2,
2,
4,
3,
4,
4,
4,
2,
3,
3,
2,
3,
2,
2,
2,
3,
2,
4,
4,
4,
4,
6,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
1,
4,
2,
3,
3,
4,
4,
2,
4,
3,
2,
3,
3,
5,
3,
3,
3,
3,
2,
2,
2,
2,
5,
5,
4,
4,
4,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
4,
4,
8,
4,
4,
3,
6,
3,
4,
4,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
1,
3,
3,
3,
4,
2,
4,
4,
2,
4,
4,
4,
3,
2,
4,
3,
3,
3,
3,
4,
4,
2,
4,
3,
5,
4,
3,
4,
4,
4,
2,
3,
2,
4,
5,
2,
5,
3,
4,
4,
4,
4,
5,
5,
2,
2,
4,
4,
4,
5,
5,
3,
4,
4,
4,
3,
2,
7,
5,
7,
4,
6,
4,
4,
3,
1,
3,
3,
4,
4,
3,
2,
2,
2,
5,
5,
1,
4,
7,
2,
2,
4,
2,
4,
4,
4,
3,
3,
3,
2,
2,
2,
4,
3,
3,
2,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
2,
1,
5,
2,
3,
2,
3,
4,
3,
4,
5,
5,
2,
6,
4,
3,
4,
3,
3,
4,
4,
2,
4,
4,
2,
3,
3,
2,
4,
4,
2,
2,
3,
2,
3,
2,
4,
4,
4,
4,
2,
5,
4,
4,
4,
4,
2,
3,
4,
6,
4,
3,
4,
5,
5,
4,
4,
3,
2,
2,
2,
3,
4,
3,
2,
5,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
4,
4,
6,
3,
4,
4,
2,
4,
4,
2,
4,
4,
2,
2,
3,
3,
5,
4,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
8,
2,
3,
2,
4,
2,
5,
5,
4,
1,
3,
4,
4,
4,
2,
5,
5,
2,
3,
3,
3,
2,
3,
2,
2,
2,
2,
3,
2,
3,
3,
4,
4,
3,
4,
3,
3,
2,
6,
2,
6,
5,
3,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
4,
3,
3,
2,
2,
2,
2,
3,
2,
4,
2,
4,
3,
2,
3,
4,
4,
4,
4,
2,
4,
4,
3,
4,
3,
4,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
4,
3,
2,
2,
3,
3,
6,
2,
4,
6,
4,
4,
3,
4,
4,
2,
4,
4,
4,
3,
4,
5,
5,
3,
5,
3,
4,
4,
2,
3,
4,
4,
3,
3,
3,
3,
4,
2,
2,
3,
3,
3,
5,
5,
4,
4,
3,
3,
2,
3,
5,
5,
4,
4,
3,
4,
4,
2,
3,
3,
2,
3,
3,
3,
3,
4,
4,
4,
3,
4,
3,
2,
4,
4,
4,
2,
2,
6,
4,
4,
2,
2,
2,
5,
4,
2,
3,
4,
2,
2,
2,
4,
4,
4,
3,
3,
4,
4,
4,
2,
4,
2,
3,
6,
4,
5,
2,
3,
3,
3,
4,
3,
2,
3,
3,
2,
6,
3,
6,
2,
2,
4,
2,
2,
2,
3,
3,
3,
2,
3,
3,
4,
2,
1,
4,
4,
4,
4,
4,
2,
3,
4,
3,
3,
2,
2,
7,
4,
4,
4,
4,
3,
5,
3,
3,
5,
5,
4,
2,
4,
4,
5,
5,
4,
2,
2,
4,
4,
4,
4,
3,
3,
2,
3,
2,
2,
1,
1,
4,
3,
2,
3,
3,
4,
3,
4,
3,
4,
3,
2,
4,
4,
3,
2,
3,
4,
4,
4,
3,
6,
5,
4,
5,
2,
1,
2,
2,
4,
2,
4,
2,
4,
4,
4,
4,
3,
3,
3,
2,
3,
5,
2,
3,
3,
3,
2,
2,
2,
2,
4,
3,
4,
3,
2,
4,
2,
3,
3,
2,
4,
4,
4,
3,
3,
4,
2,
4,
5,
5,
4,
1,
4,
4,
3,
6,
3,
4,
2,
2,
4,
2,
3,
5,
4,
3,
4,
4,
5,
4,
2,
2,
2,
2,
2,
2,
3,
6,
3,
3,
5,
3,
4,
4,
4,
4,
4,
4,
1,
2,
2,
4,
4,
4,
2,
2,
3,
4,
3,
3,
4,
3,
3,
3,
4,
2,
4,
4,
5,
4,
4,
3,
3,
2,
4,
4,
3,
4,
2,
2,
2,
2,
2,
4,
4,
4,
2,
3,
4,
4,
5,
2,
3,
4,
2,
2,
4,
4,
4,
3,
2,
2,
2,
3,
3,
4,
4,
3,
8,
4,
4,
1,
3,
3,
3,
2,
4,
4,
4,
4,
3,
3,
3,
4,
2,
4,
4,
4,
2,
3,
5,
5,
5,
4,
4,
3,
4,
4,
2,
4,
4,
4,
4,
2,
4,
2,
4,
2,
2,
2,
3,
4,
2,
2,
2,
3,
4,
2,
7,
4,
3,
4,
4,
3,
4,
3,
4,
4,
2,
5,
4,
6,
2,
3,
4,
3,
4,
3,
3,
2,
2,
4,
2,
2,
4,
5,
2,
2,
3,
1,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
2,
3,
2,
5,
3,
2,
2,
4,
2,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
4,
3,
2,
4,
4,
3,
5,
6,
4,
6,
6,
5,
2,
2,
4,
3,
2,
2,
3,
3,
3,
4,
2,
3,
2,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
4,
5,
4,
2,
2,
5,
2,
3,
3,
3,
3,
3,
2,
3,
4,
3,
2,
2,
5,
4,
4,
2,
4,
4,
4,
3,
6,
4,
6,
6,
2,
4,
6,
4,
3,
5,
6,
5,
5,
2,
3,
2,
1,
2,
4,
3,
4,
4,
2,
5,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
4,
4,
5,
2,
3,
5,
3,
3,
2,
5,
4,
2,
2,
4,
2,
2,
4,
4,
4,
4,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
2,
2,
4,
2,
2,
2,
2,
6,
6,
5,
4,
4,
4,
2,
2,
2,
1,
2,
2,
3,
2,
1,
4,
3,
4,
4,
5,
3,
4,
2,
5,
5,
2,
2,
3,
4,
4,
7,
3,
4,
4,
3,
5,
2,
4,
5,
5,
7,
5,
4,
4,
4,
4,
4,
3,
3,
5,
4,
4,
4,
2,
4,
2,
5,
4,
4,
4,
2,
4,
2,
3,
3,
4,
4,
2,
3,
3,
5,
3,
4,
4,
3,
3,
5,
5,
3,
2,
2,
4,
2,
2,
5,
3,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
1,
1,
2,
2,
3,
1,
2,
4,
4,
4,
2,
1,
4,
4,
3,
2,
3,
1,
4,
4,
6,
5,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
4,
4,
4,
3,
4,
4,
3,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
2,
2,
3,
3,
3,
4,
2,
4,
3,
5,
3,
3,
6,
3,
2,
2,
2,
2,
5,
2,
3,
5,
4,
2,
4,
4,
2,
3,
2,
4,
3,
4,
3,
4,
4,
3,
2,
4,
4,
3,
2,
2,
4,
2,
2,
4,
3,
3,
2,
3,
2,
2,
3,
2,
3,
2,
2,
5,
4,
4,
4,
2,
4,
5,
2,
3,
2,
4,
5,
2,
4,
4,
2,
3,
3,
3,
3,
4,
3,
6,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
8,
3,
3,
3,
3,
3,
4,
3,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
6,
4,
4,
2,
6,
4,
1,
4,
4,
3,
3,
3,
3,
3,
2,
3,
2,
4,
2,
3,
3,
2,
2,
4,
2,
5,
3,
3,
3,
4,
3,
3,
3,
3,
3,
4,
3,
2,
4,
4,
2,
3,
4,
3,
3,
3,
3,
2,
2,
3,
2,
4,
4,
4,
2,
4,
4,
7,
3,
2,
2,
3,
2,
2,
5,
4,
4,
2,
3,
2,
4,
3,
4,
2,
2,
3,
3,
3,
4,
3,
5,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
5,
3,
3,
4,
4,
4,
4,
4,
7,
1,
4,
4,
3,
2,
2,
4,
3,
4,
3,
2,
3,
3,
2,
5,
4,
2,
2,
2,
4,
2,
4,
4,
1,
5,
4,
4,
3,
2,
3,
4,
3,
4,
4,
3,
2,
2,
2,
3,
3,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
3,
3,
2,
5,
4,
4,
1,
2,
2,
3,
3,
2,
2,
5,
3,
3,
3,
3,
3,
4,
2,
2,
4,
2,
3,
2,
4,
4,
4,
3,
3,
4,
4,
1,
2,
2,
5,
3,
4,
2,
3,
4,
4,
4,
4,
4,
2,
4,
4,
6,
4,
3,
4,
4,
4,
4,
5,
2,
5,
1,
2,
3,
3,
3,
1,
6,
5,
2,
5,
2,
2,
4,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
4,
2,
2,
2,
3,
2,
3,
2,
3,
5,
4,
5,
3,
3,
4,
4,
4,
3,
4,
2,
2,
3,
5,
5,
4,
4,
2,
2,
2,
3,
5,
3,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
2,
3,
3,
3,
4,
3,
3,
2,
2,
4,
5,
3,
2,
2,
3,
4,
4,
3,
1,
2,
2,
3,
4,
5,
5,
2,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
5,
4,
4,
4,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
2,
3,
4,
3,
3,
2,
5,
5,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
4,
4,
3,
2,
3,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
5,
4,
3,
2,
3,
3,
3,
7,
4,
2,
4,
3,
4,
2,
3,
3,
2,
3,
4,
4,
2,
4,
3,
3,
3,
3,
4,
3,
1,
6,
3,
4,
3,
3,
2,
4,
4,
4,
4,
4,
2,
5,
4,
3,
2,
3,
3,
3,
4,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
5,
4,
2,
2,
4,
3,
2,
2,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
5,
5,
3,
5,
3,
2,
2,
2,
2,
1,
3,
2,
4,
3,
7,
2,
3,
3,
4,
4,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
5,
3,
4,
3,
3,
4,
5,
3,
2,
3,
2,
2,
2,
3,
5,
4,
3,
3,
4,
2,
2,
4,
4,
5,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
1,
2,
3,
3,
3,
2,
3,
3,
4,
4,
2,
2,
2,
7,
2,
4,
5,
3,
3,
3,
3,
5,
3,
4,
7,
3,
2,
2,
3,
4,
2,
2,
4,
3,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
4,
4,
3,
5,
6,
4,
2,
4,
2,
2,
2,
3,
3,
5,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
4,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
6,
3,
4,
2,
4,
2,
2,
2,
2,
6,
2,
2,
4,
4,
4,
2,
3,
2,
2,
1,
2,
5,
3,
3,
2,
4,
2,
3,
2,
2,
4,
4,
2,
4,
4,
4,
4,
5,
5,
5,
4,
3,
4,
2,
2,
2,
2,
2,
4,
4,
5,
5,
4,
3,
4,
5,
4,
2,
3,
2,
2,
2,
3,
2,
2,
2,
4,
4,
5,
5,
4,
5,
3,
3,
4,
4,
4,
2,
3,
2,
3,
3,
5,
3,
2,
3,
3,
2,
2,
5,
4,
4,
1,
5,
5,
5,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
2,
3,
6,
3,
5,
3,
6,
2,
2,
3,
3,
3,
6,
3,
4,
3,
2,
6,
1,
4,
2,
3,
3,
3,
3,
4,
6,
2,
2,
3,
2,
2,
3,
4,
4,
2,
3,
3,
1,
3,
4,
4,
4,
2,
2,
2,
4,
2,
3,
4,
3,
3,
3,
3,
3,
2,
2,
3,
2,
3,
3,
3,
2,
4,
5,
3,
4,
4,
3,
4,
4,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
5,
2,
3,
3,
4,
2,
3,
7,
5,
3,
5,
3,
3,
2,
3,
2,
4,
4,
2,
2,
3,
3,
3,
5,
3,
2,
3,
3,
3,
4,
3,
2,
3,
4,
3,
2,
3,
3,
3,
3,
2,
4,
4,
3,
3,
2,
4,
4,
3,
4,
7,
2,
5,
5,
5,
4,
3,
3,
5,
5,
4,
4,
3,
4,
2,
3,
3,
2,
5,
4,
3,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
3,
2,
5,
4,
2,
2,
4,
3,
3,
3,
3,
2,
2,
2,
4,
2,
3,
3,
4,
4,
3,
3,
2,
3,
2,
2,
3,
2,
3,
3,
3,
5,
4,
4,
3,
4,
4,
3,
4,
4,
2,
2,
3,
2,
2,
4,
4,
4,
5,
3,
5,
2,
3,
2,
2,
3,
7,
5,
4,
5,
2,
4,
4,
3,
3,
4,
2,
5,
5,
3,
5,
3,
3,
4,
2,
3,
2,
2,
2,
3,
2,
3,
4,
2,
4,
2,
2,
2,
2,
4,
3,
3,
4,
2,
2,
3,
4,
4,
4,
4,
4,
2,
4,
5,
4,
3,
2,
1,
5,
2,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
1,
4,
1,
3,
4,
5,
4,
4,
4,
4,
3,
3,
3,
3,
3,
6,
2,
4,
4,
3,
7,
4,
4,
4,
4,
4,
3,
4,
3,
2,
2,
4,
2,
3,
5,
2,
1,
3,
4,
5,
2,
2,
4,
6,
5,
3,
3,
4,
3,
4,
2,
4,
4,
2,
4,
3,
4,
2,
4,
3,
4,
4,
5,
4,
4,
4,
4,
2,
3,
3,
2,
4,
4,
2,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
4,
3,
5,
3,
4,
8,
4,
4,
2,
5,
4,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
4,
4,
6,
4,
3,
2,
3,
2,
4,
2,
3,
4,
2,
3,
2,
3,
2,
4,
3,
2,
5,
3,
3,
3,
3,
6,
7,
4,
5,
2,
2,
2,
6,
4,
4,
5,
4,
4,
5,
3,
3,
3,
1,
1,
3,
4,
2,
4,
5,
3,
2,
5,
2,
2,
2,
2,
2,
3,
3,
5,
5,
6,
4,
4,
4,
4,
6,
2,
3,
4,
3,
2,
3,
3,
3,
2,
4,
4,
3,
3,
2,
4,
3,
2,
3,
3,
2,
3,
3,
3,
3,
4,
2,
4,
4,
2,
3,
2,
2,
2,
2,
3,
2,
4,
5,
4,
4,
4,
2,
2,
3,
4,
4,
3,
3,
4,
4,
2,
3,
5,
2,
4,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
5,
7,
3,
2,
2,
2,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
1,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
5,
4,
2,
4,
3,
4,
4,
5,
4,
3,
4,
2,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
3,
2,
3,
2,
6,
5,
4,
2,
4,
2,
4,
2,
2,
2,
2,
4,
4,
3,
4,
3,
4,
4,
2,
2,
4,
2,
6,
4,
8,
3,
4,
4,
3,
2,
2,
4,
5,
1,
3,
6,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
3,
3,
4,
4,
4,
2,
2,
2,
3,
4,
2,
4,
2,
2,
4,
2,
2,
3,
2,
2,
4,
2,
5,
2,
4,
5,
4,
2,
2,
3,
5,
2,
4,
2,
2,
2,
3,
4,
2,
3,
3,
3,
3,
2,
2,
5,
6,
4,
4,
3,
3,
5,
2,
3,
4,
5,
4,
4,
4,
3,
4,
2,
3,
2,
3,
2,
3,
4,
2,
4,
2,
3,
3,
2,
1,
3,
3,
3,
3,
4,
4,
2,
4,
5,
2,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
3,
2,
2,
4,
4,
3,
3,
4,
3,
2,
2,
2,
4,
4,
4,
2,
3,
4,
4,
4,
2,
4,
4,
2,
2,
4,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
3,
2,
2,
3,
2,
4,
3,
3,
4,
4,
4,
3,
3,
4,
2,
2,
4,
4,
2,
1,
4,
4,
4,
4,
2,
3,
2,
4,
2,
3,
4,
4,
5,
3,
2,
2,
2,
2,
1,
1,
1,
7,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
2,
4,
4,
4,
2,
3,
4,
3,
3,
4,
3,
2,
4,
2,
2,
2,
4,
4,
2,
5,
5,
3,
4,
4,
2,
2,
5,
4,
3,
4,
3,
3,
3,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
6,
4,
4,
2,
3,
2,
2,
4,
2,
2,
4,
4,
4,
3,
5,
4,
4,
4,
4,
4,
2,
4,
2,
3,
2,
7,
6,
3,
2,
2,
4,
3,
2,
3,
3,
3,
3,
3,
2,
4,
4,
2,
2,
2,
3,
3,
4,
6,
4,
4,
4,
4,
2,
3,
3,
4,
4,
3,
2,
2,
5,
2,
3,
3,
6,
4,
5,
4,
2,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
4,
4,
5,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
5,
5,
2,
3,
2,
3,
4,
3,
3,
3,
4,
5,
2,
3,
2,
3,
4,
1,
2,
2,
1,
2,
3,
4,
2,
5,
3,
4,
3,
3,
4,
3,
5,
2,
2,
5,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
3,
2,
2,
2,
2,
4,
5,
4,
2,
2,
2,
2,
3,
5,
2,
2,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
1,
3,
4,
2,
4,
4,
2,
2,
4,
3,
2,
4,
2,
4,
5,
2,
2,
2,
5,
4,
2,
3,
3,
3,
6,
5,
5,
2,
4,
2,
3,
2,
2,
3,
6,
2,
4,
4,
4,
3,
2,
2,
2,
3,
3,
4,
3,
2,
2,
2,
4,
4,
4,
3,
3,
2,
4,
4,
2,
4,
2,
5,
2,
3,
4,
4,
3,
4,
2,
4,
4,
3,
2,
3,
3,
2,
2,
4,
4,
4,
4,
4,
2,
3,
4,
3,
3,
3,
2,
3,
3,
3,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
4,
3,
2,
4,
2,
3,
1,
3,
2,
4,
2,
3,
4,
4,
3,
3,
2,
2,
4,
3,
2,
5,
5,
4,
2,
4,
2,
2,
4,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
3,
5,
6,
4,
6,
6,
3,
2,
4,
3,
2,
2,
2,
5,
5,
4,
4,
2,
4,
5,
2,
2,
3,
2,
4,
4,
4,
4,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
4,
5,
4,
3,
2,
3,
2,
3,
4,
4,
3,
4,
2,
2,
3,
3,
5,
3,
3,
2,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
6,
6,
2,
2,
5,
2,
8,
2,
2,
2,
3,
4,
4,
2,
2,
3,
4,
4,
2,
3,
2,
4,
4,
4,
5,
3,
2,
4,
2,
3,
4,
4,
3,
3,
3,
4,
3,
2,
4,
2,
3,
2,
2,
4,
4,
4,
2,
2,
5,
6,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
5,
3,
3,
3,
5,
2,
5,
7,
2,
2,
2,
7,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
2,
4,
2,
3,
4,
3,
2,
3,
3,
3,
3,
4,
2,
2,
2,
5,
4,
4,
4,
4,
5,
4,
5,
4,
4,
4,
3,
4,
3,
4,
2,
2,
2,
4,
4,
2,
2,
5,
5,
2,
3,
4,
4,
2,
2,
4,
3,
4,
3,
3,
2,
3,
2,
3,
3,
2,
2,
3,
4,
2,
2,
2,
2,
4,
6,
2,
3,
2,
3,
2,
3,
2,
3,
3,
2,
4,
2,
4,
4,
2,
2,
4,
2,
4,
4,
4,
4,
2,
4,
3,
2,
4,
4,
2,
3,
3,
2,
4,
3,
3,
3,
3,
2,
3,
2,
2,
2,
4,
4,
4,
3,
3,
3,
6,
2,
4,
7,
2,
2,
2,
2,
1,
4,
4,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
3,
4,
4,
5,
4,
3,
3,
3,
2,
3,
3,
3,
3,
6,
3,
2,
2,
2,
2,
2,
2,
4,
3,
8,
8,
3,
2,
3,
3,
3,
3,
3,
2,
2,
3,
3,
5,
3,
4,
3,
2,
6,
2,
2,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
3,
6,
3,
3,
3,
3,
4,
2,
2,
4,
7,
3,
5,
7,
4,
2,
6,
4,
4,
3,
1,
2,
2,
2,
4,
2,
4,
4,
4,
2,
4,
3,
3,
4,
2,
3,
3,
4,
3,
4,
2,
2,
2,
3,
2,
4,
3,
3,
4,
4,
4,
4,
5,
5,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
3,
2,
2,
4,
4,
2,
4,
3,
2,
3,
3,
2,
4,
3,
4,
4,
4,
4,
3,
2,
6,
6,
4,
7,
8,
4,
8,
5,
3,
3,
3,
3,
3,
5,
3,
2,
3,
3,
5,
2,
5,
6,
6,
4,
5,
4,
4,
4,
3,
3,
2,
3,
2,
5,
2,
5,
2,
1,
4,
4,
4,
2,
2,
2,
4,
2,
5,
5,
2,
3,
5,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
2,
5,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
4,
4,
2,
4,
4,
3,
4,
4,
4,
4,
3,
2,
3,
3,
8,
2,
2,
4,
2,
2,
3,
2,
4,
2,
2,
2,
3,
3,
4,
2,
2,
7,
6,
3,
2,
5,
2,
6,
3,
3,
2,
4,
4,
2,
4,
3,
3,
4,
2,
2,
3,
4,
4,
2,
4,
5,
5,
5,
5,
2,
2,
4,
4,
4,
5,
4,
4,
4,
7,
2,
3,
2,
2,
3,
2,
3,
2,
5,
3,
2,
7,
5,
2,
5,
5,
3,
4,
3,
4,
5,
3,
3,
3,
3,
5,
5,
2,
8,
3,
3,
2,
2,
4,
2,
4,
3,
3,
3,
3,
7,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
4,
2,
2,
3,
3,
6,
5,
5,
3,
8,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
1,
4,
6,
7,
4,
3,
4,
3,
4,
3,
3,
3,
3,
5,
4,
2,
2,
2,
2,
2,
3,
2,
2,
4,
3,
3,
3,
2,
2,
3,
3,
2,
3,
3,
2,
4,
3,
6,
2,
4,
3,
3,
2,
3,
5,
3,
4,
2,
2,
4,
4,
5,
3,
2,
2,
4,
3,
4,
3,
6,
3,
3,
4,
3,
3,
4,
2,
3,
5,
4,
3,
2,
4,
3,
3,
4,
4,
4,
3,
6,
4,
2,
3,
3,
2,
4,
3,
2,
2,
3,
4,
3,
2,
2,
3,
4,
4,
4,
2,
6,
1,
2,
2,
6,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
5,
2,
3,
2,
2,
3,
4,
3,
3,
2,
3,
3,
2,
2,
5,
2,
4,
2,
3,
3,
2,
2,
3,
5,
4,
7,
4,
5,
5,
1,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
2,
5,
2,
2,
2,
3,
3,
3,
2,
4,
4,
7,
2,
4,
4,
3,
2,
2,
4,
2,
2,
2,
4,
2,
3,
2,
2,
2,
2,
4,
3,
5,
3,
2,
5,
3,
5,
3,
2,
3,
2,
2,
3,
2,
2,
2,
4,
5,
4,
2,
2,
4,
3,
3,
4,
4,
2,
2,
2,
3,
3,
4,
3,
4,
2,
3,
4,
4,
5,
4,
6,
3,
4,
4,
3,
4,
2,
2,
5,
2,
3,
2,
2,
3,
3,
3,
4,
4,
2,
3,
2,
2,
2,
2,
5,
2,
2,
2,
3,
3,
4,
4,
2,
4,
3,
3,
3,
2,
3,
3,
4,
4,
4,
2,
3,
3,
3,
2,
3,
3,
2,
3,
5,
6,
6,
4,
4,
2,
4,
4,
2,
2,
2,
5,
3,
5,
2,
2,
4,
2,
6,
5,
4,
3,
4,
4,
2,
3,
2,
4,
3,
2,
2,
2,
4,
4,
3,
4,
4,
3,
3,
4,
2,
2,
3,
2,
2,
2,
4,
4,
5,
2,
3,
3,
3,
2,
4,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
4,
2,
2,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
6,
6,
1,
3,
3,
3,
3,
2,
4,
3,
2,
4,
3,
3,
2,
2,
5,
4,
4,
3,
3,
2,
2,
3,
3,
4,
3,
3,
2,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
2,
4,
5,
2,
3,
5,
2,
8,
1,
3,
2,
6,
4,
4,
3,
3,
3,
4,
3,
3,
4,
3,
2,
3,
3,
4,
2,
4,
2,
3,
2,
2,
2,
2,
3,
2,
3,
4,
4,
3,
5,
2,
2,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
6,
3,
3,
3,
3,
2,
4,
2,
2,
2,
3,
3,
2,
2,
2,
2,
4,
4,
3,
2,
3,
5,
3,
2,
4,
2,
2,
5,
3,
4,
3,
4,
4,
2,
2,
3,
3,
3,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
4,
3,
3,
3,
4,
2,
4,
3,
2,
5,
2,
4,
3,
2,
5,
5,
4,
4,
3,
6,
4,
4,
3,
2,
2,
2,
2,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
4,
3,
4,
4,
2,
4,
3,
4,
4,
3,
4,
2,
2,
2,
2,
1,
3,
4,
4,
2,
4,
2,
2,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
3,
4,
3,
4,
4,
2,
4,
4,
2,
4,
3,
4,
3,
2,
2,
4,
2,
4,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
4,
2,
3,
4,
2,
1,
3,
2,
2,
4,
3,
4,
4,
4,
4,
2,
4,
2,
4,
4,
4,
3,
2,
2,
3,
3,
3,
3,
2,
2,
4,
4,
2,
6,
4,
7,
6,
3,
3,
2,
2,
3,
4,
4,
3,
4,
2,
2,
2,
4,
2,
1,
3,
4,
2,
2,
2,
3,
2,
2,
3,
3,
3,
4,
7,
5,
5,
4,
5,
5,
4,
2,
2,
3,
3,
3,
2,
2,
2,
4,
2,
2,
3,
3,
3,
4,
2,
3,
2,
3,
2,
3,
5,
4,
4,
2,
4,
6,
4,
6,
4,
4,
4,
5,
2,
3,
3,
1,
5,
5,
5,
4,
4,
4,
4,
4,
4,
4,
3,
2,
5,
3,
2,
2,
3,
7,
3,
2,
2,
2,
2,
3,
3,
3,
2,
3,
4,
2,
2,
4,
2,
4,
3,
4,
4,
2,
3,
4,
2,
3,
2,
2,
4,
3,
4,
4,
3,
4,
3,
3,
3,
4,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
5,
5,
4,
4,
3,
4,
4,
4,
6,
3,
2,
3,
4,
2,
4,
4,
2,
6,
4,
2,
3,
3,
2,
2,
2,
4,
2,
2,
3,
3,
2,
3,
3,
4,
3,
7,
3,
4,
3,
4,
3,
2,
2,
1,
4,
5,
3,
5,
3,
4,
4,
1,
2,
4,
4,
3,
3,
4,
2,
2,
4,
3,
3,
2,
3,
3,
2,
3,
2,
2,
4,
4,
3,
4,
2,
2,
3,
4,
3,
5,
3,
1,
4,
4,
3,
4,
2,
3,
2,
2,
3,
3,
2,
1,
5,
7,
5,
2,
3,
3,
2,
5,
7,
3,
6,
2,
2,
4,
4,
4,
3,
2,
2,
4,
5,
5,
4,
4,
4,
4,
3,
4,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
6,
6,
4,
6,
4,
3,
2,
3,
3,
3,
3,
2,
3,
3,
1,
6,
5,
2,
2,
2,
5,
4,
2,
2,
4,
2,
2,
2,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
5,
3,
3,
3,
2,
2,
4,
2,
4,
4,
2,
4,
5,
6,
4,
3,
3,
4,
4,
1,
3,
3,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
3,
4,
5,
4,
5,
4,
2,
2,
2,
2,
4,
4,
3,
4,
5,
4,
7,
4,
6,
3,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
4,
2,
2,
3,
5,
4,
2,
2,
3,
2,
2,
3,
3,
4,
2,
4,
2,
2,
2,
2,
4,
4,
2,
1,
2,
2,
2,
3,
2,
3,
2,
2,
3,
3,
4,
3,
2,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
4,
1,
6,
3,
5,
4,
1,
2,
2,
3,
2,
3,
3,
2,
4,
4,
3,
2,
4,
1,
3,
3,
7,
4,
4,
2,
6,
2,
4,
3,
1,
4,
1,
2,
3,
3,
1,
4,
2,
2,
2,
2,
2,
3,
4,
3,
6,
2,
3,
2,
3,
4,
4,
2,
4,
2,
2,
4,
4,
3,
2,
2,
3,
2,
2,
2,
1,
1,
3,
3,
3,
2,
1,
3,
3,
4,
3,
3,
3,
4,
4,
3,
4,
2,
4,
3,
3,
2,
3,
3,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
3,
6,
2,
2,
2,
2,
3,
2,
2,
3,
3,
4,
2,
4,
2,
2,
2,
2,
4,
4,
4,
5,
5,
3,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
4,
2,
3,
2,
2,
4,
2,
2,
2,
3,
5,
2,
4,
2,
4,
3,
3,
3,
4,
3,
5,
2,
3,
4,
2,
5,
4,
3,
3,
2,
3,
4,
3,
3,
3,
3,
2,
4,
7,
4,
4,
4,
2,
2,
4,
5,
5,
4,
2,
4,
3,
3,
4,
7,
2,
2,
3,
2,
3,
5,
6,
3,
3,
1,
4,
3,
2,
4,
4,
4,
3,
3,
3,
6,
3,
3,
3,
2,
4,
4,
2,
3,
3,
2,
2,
5,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
2,
2,
3,
5,
2,
3,
3,
1,
6,
9,
3,
5,
7,
5,
4,
3,
3,
3,
3,
4,
2,
6,
4,
4,
2,
2,
8,
2,
3,
3,
5,
4,
4,
2,
2,
3,
2,
5,
3,
3,
3,
3,
4,
4,
3,
3,
4,
2,
3,
3,
3,
2,
2,
3,
2,
3,
2,
2,
2,
4,
5,
4,
3,
3,
2,
2,
4,
4,
3,
4,
2,
3,
4,
3,
3,
3,
4,
2,
4,
2,
2,
4,
4,
3,
3,
2,
3,
3,
2,
2,
2,
3,
4,
2,
2,
3,
4,
4,
3,
4,
2,
2,
2,
2,
3,
4,
2,
2,
2,
4,
2,
2,
2,
2,
5,
2,
2,
2,
3,
3,
4,
2,
2,
3,
2,
4,
3,
3,
3,
3,
4,
2,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
3,
4,
2,
4,
2,
4,
4,
4,
4,
5,
5,
3,
3,
2,
2,
2,
4,
2,
2,
4,
2,
2,
4,
4,
5,
5,
3,
5,
4,
4,
5,
6,
3,
5,
4,
2,
2,
2,
2,
4,
3,
3,
5,
1,
2,
7,
4,
4,
2,
2,
3,
3,
2,
4,
4,
2,
3,
2,
2,
2,
2,
4,
4,
3,
5,
2,
4,
3,
2,
3,
2,
3,
3,
6,
3,
2,
3,
2,
2,
3,
2,
3,
4,
4,
2,
2,
3,
4,
4,
4,
5,
4,
4,
3,
3,
2,
3,
4,
5,
3,
2,
4,
4,
4,
2,
3,
4,
3,
1,
3,
3,
3,
3,
2,
3,
3,
3,
5,
4,
3,
4,
1,
4,
2,
2,
2,
2,
4,
4,
4,
4,
5,
4,
2,
2,
3,
2,
2,
3,
2,
3,
4,
4,
2,
4,
4,
3,
3,
3,
2,
2,
4,
4,
4,
2,
2,
5,
2,
4,
5,
3,
3,
3,
3,
4,
1,
3,
3,
4,
2,
2,
2,
4,
3,
2,
4,
4,
4,
2,
3,
4,
2,
3,
3,
3,
2,
2,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
3,
5,
4,
4,
5,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
3,
2,
2,
3,
4,
4,
4,
4,
4,
5,
3,
3,
4,
4,
4,
2,
5,
4,
3,
5,
3,
3,
2,
2,
2,
4,
7,
4,
4,
4,
4,
3,
2,
5,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
1,
3,
4,
4,
4,
3,
3,
3,
4,
4,
3,
3,
2,
3,
3,
2,
4,
2,
2,
1,
4,
4,
2,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
7,
3,
2,
2,
3,
3,
3,
2,
1,
2,
2,
1,
3,
4,
4,
4,
5,
5,
3,
2,
4,
4,
4,
4,
3,
3,
4,
3,
3,
3,
4,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
3,
3,
3,
3,
7,
2,
3,
2,
3,
3,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
5,
3,
4,
4,
3,
1,
2,
3,
3,
4,
3,
3,
4,
3,
4,
2,
2,
2,
2,
3,
3,
3,
4,
5,
4,
3,
3,
3,
2,
4,
3,
4,
2,
2,
2,
3,
2,
3,
2,
2,
6,
4,
3,
2,
2,
1,
2,
3,
7,
2,
2,
2,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
2,
2,
2,
2,
2,
4,
3,
3,
5,
2,
2,
5,
3,
3,
3,
5,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
5,
4,
2,
2,
4,
3,
4,
3,
4,
6,
4,
3,
4,
5,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
3,
5,
3,
2,
4,
2,
2,
3,
4,
4,
2,
3,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
4,
3,
3,
2,
2,
2,
2,
4,
3,
4,
3,
4,
2,
4,
2,
2,
5,
3,
3,
4,
3,
3,
3,
3,
5,
2,
3,
3,
4,
2,
3,
3,
3,
3,
3,
11,
4,
6,
3,
7,
4,
4,
2,
4,
4,
3,
7,
2,
6,
2,
3,
3,
2,
2,
2,
3,
1,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
5,
2,
4,
2,
2,
4,
4,
1,
2,
2,
2,
2,
3,
2,
3,
4,
3,
6,
4,
5,
3,
6,
2,
5,
3,
4,
4,
6,
6,
4,
3,
3,
2,
4,
2,
4,
2,
4,
2,
3,
2,
2,
4,
4,
3,
2,
3,
4,
4,
3,
2,
2,
5,
4,
4,
2,
2,
2,
3,
4,
3,
3,
3,
2,
2,
6,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
5,
3,
5,
3,
3,
4,
4,
2,
4,
2,
3,
4,
3,
3,
3,
4,
4,
6,
4,
3,
2,
6,
3,
2,
2,
2,
4,
2,
4,
3,
3,
7,
3,
4,
4,
3,
6,
4,
6,
4,
3,
2,
4,
5,
5,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
2,
3,
2,
2,
6,
5,
3,
4,
3,
6,
2,
3,
2,
4,
2,
4,
3,
2,
3,
3,
3,
2,
3,
4,
3,
2,
2,
3,
4,
2,
3,
3,
2,
5,
4,
4,
4,
4,
2,
5,
5,
2,
3,
2,
3,
5,
4,
2,
4,
4,
4,
3,
2,
3,
4,
4,
4,
3,
4,
2,
2,
4,
4,
1,
4,
2,
2,
6,
3,
3,
3,
5,
3,
3,
3,
3,
4,
3,
4,
2,
3,
3,
1,
2,
3,
5,
3,
4,
5,
4,
3,
3,
5,
3,
3,
5,
2,
2,
4,
2,
7,
3,
5,
5,
5,
2,
3,
2,
3,
1,
4,
2,
2,
3,
2,
3,
4,
3,
3,
3,
3,
5,
6,
6,
6,
4,
4,
2,
2,
5,
4,
2,
5,
2,
3,
2,
1,
3,
1,
4,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
5,
3,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
6,
6,
3,
3,
3,
4,
2,
5,
4,
4,
4,
4,
3,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
2,
2,
3,
2,
3,
3,
2,
2,
3,
4,
2,
4,
6,
3,
3,
2,
2,
3,
2,
2,
6,
6,
4,
4,
2,
3,
4,
2,
4,
3,
2,
3,
3,
3,
4,
3,
3,
2,
4,
3,
2,
3,
2,
4,
4,
4,
4,
2,
2,
4,
2,
4,
3,
3,
3,
7,
2,
5,
2,
4,
4,
6,
5,
3,
4,
4,
4,
4,
4,
5,
2,
3,
4,
2,
5,
5,
4,
4,
7,
4,
5,
4,
2,
2,
5,
4,
2,
2,
4,
3,
2,
4,
4,
4,
3,
4,
4,
2,
5,
4,
4,
3,
5,
2,
4,
3,
4,
4,
3,
2,
2,
2,
2,
4,
3,
4,
4,
4,
5,
7,
7,
6,
2,
2,
4,
4,
4,
4,
3,
2,
3,
3,
2,
2,
4,
2,
2,
2,
4,
2,
4,
4,
4,
3,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
4,
2,
3,
3,
3,
2,
2,
4,
4,
3,
4,
2,
3,
3,
2,
4,
4,
2,
6,
3,
2,
4,
2,
3,
4,
4,
4,
3,
2,
2,
3,
3,
4,
4,
4,
4,
2,
4,
3,
2,
2,
2,
7,
2,
4,
5,
2,
3,
2,
2,
2,
4,
3,
2,
3,
5,
4,
2,
2,
2,
2,
2,
5,
2,
3,
2,
4,
2,
6,
4,
5,
3,
3,
2,
3,
2,
4,
2,
2,
3,
3,
2,
3,
2,
3,
1,
2,
2,
2,
3,
3,
4,
2,
4,
4,
4,
4,
2,
3,
3,
3,
2,
3,
5,
2,
4,
5,
4,
5,
3,
3,
3,
3,
2,
4,
3,
1,
2,
2,
2,
2,
3,
2,
2,
4,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
2,
4,
3,
5,
2,
2,
2,
2,
3,
3,
6,
4,
4,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
1,
3,
5,
3,
3,
2,
2,
2,
6,
5,
4,
5,
5,
3,
2,
4,
2,
2,
3,
4,
3,
2,
5,
5,
4,
4,
3,
2,
3,
3,
6,
4,
3,
5,
3,
2,
4,
2,
4,
4,
4,
1,
3,
4,
4,
4,
4,
4,
3,
4,
3,
4,
4,
2,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
5,
2,
3,
3,
2,
3,
3,
2,
3,
2,
5,
4,
3,
3,
2,
8,
4,
4,
3,
4,
3,
2,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
4,
3,
2,
3,
2,
3,
2,
7,
3,
3,
2,
3,
3,
3,
4,
4,
5,
6,
2,
1,
7,
2,
3,
2,
5,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
3,
3,
2,
2,
2,
2,
4,
3,
4,
3,
4,
4,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
2,
3,
3,
2,
8,
2,
3,
2,
9,
3,
3,
3,
2,
2,
2,
6,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
2,
4,
4,
3,
4,
4,
2,
4,
4,
2,
4,
2,
2,
3,
2,
3,
3,
3,
3,
3,
4,
4,
2,
2,
4,
4,
2,
2,
2,
4,
6,
2,
4,
4,
6,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
3,
3,
4,
2,
3,
2,
4,
4,
3,
2,
2,
3,
1,
3,
4,
2,
2,
3,
3,
3,
2,
2,
7,
3,
3,
2,
5,
3,
3,
3,
5,
3,
1,
1,
3,
4,
2,
4,
3,
3,
3,
3,
3,
3,
5,
3,
4,
2,
2,
2,
4,
4,
4,
3,
2,
3,
1,
2,
4,
4,
1,
1,
2,
4,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
3,
4,
2,
4,
3,
5,
5,
5,
4,
4,
4,
4,
4,
4,
3,
2,
3,
4,
3,
5,
2,
2,
2,
1,
3,
3,
2,
4,
1,
2,
2,
4,
3,
4,
2,
5,
2,
2,
2,
4,
3,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
2,
4,
2,
2,
2,
6,
5,
4,
2,
3,
3,
3,
3,
4,
4,
5,
7,
3,
4,
2,
3,
2,
3,
3,
2,
2,
7,
7,
2,
3,
3,
3,
4,
4,
5,
3,
4,
4,
3,
4,
2,
2,
4,
2,
2,
2,
4,
2,
5,
4,
4,
4,
4,
4,
2,
2,
4,
3,
2,
5,
2,
5,
2,
4,
2,
3,
2,
2,
3,
3,
3,
3,
3,
4,
2,
4,
6,
2,
4,
5,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
5,
2,
1,
3,
3,
3,
7,
3,
2,
2,
4,
4,
3,
2,
3,
3,
2,
2,
2,
3,
2,
2,
4,
3,
3,
2,
2,
2,
3,
2,
4,
4,
3,
2,
4,
3,
2,
4,
2,
2,
2,
2,
3,
2,
2,
2,
4,
3,
3,
3,
3,
2,
5,
5,
4,
4,
2,
3,
2,
2,
3,
3,
1,
2,
3,
5,
5,
3,
4,
3,
3,
3,
3,
2,
6,
2,
2,
3,
2,
3,
2,
4,
2,
2,
2,
2,
2,
3,
5,
3,
2,
3,
4,
2,
3,
2,
2,
6,
2,
5,
2,
2,
2,
2,
2,
2,
2,
5,
2,
2,
2,
6,
1,
3,
3,
3,
4,
3,
3,
7,
4,
4,
4,
4,
4,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
3,
5,
5,
4,
5,
4,
6,
4,
4,
6,
3,
3,
3,
4,
3,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
1,
2,
3,
3,
5,
2,
3,
4,
3,
3,
3,
3,
3,
2,
1,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
4,
2,
3,
3,
2,
2,
4,
4,
4,
4,
4,
3,
3,
2,
1,
3,
4,
3,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
4,
2,
2,
2,
2,
2,
1,
3,
3,
3,
3,
2,
4,
2,
4,
3,
3,
4,
2,
2,
2,
4,
5,
4,
2,
4,
3,
4,
2,
2,
2,
4,
3,
2,
3,
4,
3,
3,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
3,
3,
5,
4,
3,
4,
4,
1,
4,
2,
2,
4,
4,
3,
3,
3,
2,
6,
3,
3,
4,
4,
4,
4,
2,
3,
4,
6,
6,
4,
2,
2,
2,
4,
4,
4,
2,
4,
4,
2,
3,
4,
2,
3,
3,
4,
2,
3,
3,
3,
4,
5,
5,
3,
3,
3,
2,
2,
4,
2,
5,
5,
4,
4,
4,
2,
2,
3,
3,
5,
4,
5,
3,
3,
3,
3,
3,
3,
2,
4,
3,
4,
4,
4,
5,
4,
6,
2,
4,
3,
2,
3,
3,
2,
3,
4,
2,
3,
2,
2,
2,
4,
2,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
5,
4,
4,
3,
2,
6,
3,
3,
3,
3,
3,
4,
3,
2,
4,
6,
4,
4,
4,
4,
4,
5,
2,
3,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
2,
2,
2,
2,
2,
3,
2,
4,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
3,
2,
1,
3,
3,
4,
3,
4,
4,
3,
5,
4,
4,
2,
4,
7,
3,
4,
2,
3,
2,
2,
2,
2,
4,
3,
2,
3,
3,
3,
3,
4,
3,
3,
4,
3,
3,
3,
4,
3,
6,
3,
4,
5,
5,
5,
5,
3,
5,
2,
4,
3,
3,
3,
2,
3,
3,
3,
4,
2,
5,
5,
3,
5,
4,
4,
3,
3,
3,
2,
4,
2,
3,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
1,
4,
6,
3,
4,
4,
2,
4,
3,
2,
4,
3,
2,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
4,
4,
2,
4,
5,
5,
3,
2,
4,
2,
4,
2,
2,
4,
2,
4,
4,
4,
3,
4,
3,
3,
3,
5,
4,
1,
2,
4,
4,
4,
5,
1,
1,
3,
3,
3,
4,
4,
3,
3,
3,
4,
4,
2,
4,
2,
4,
4,
4,
5,
5,
2,
2,
4,
4,
4,
3,
3,
3,
3,
4,
2,
2,
4,
4,
3,
4,
4,
3,
4,
4,
3,
4,
4,
4,
4,
3,
3,
5,
5,
2,
2,
4,
3,
3,
2,
3,
2,
2,
3,
3,
5,
4,
2,
3,
3,
2,
3,
7,
2,
5,
5,
4,
4,
4,
3,
2,
4,
6,
4,
3,
2,
7,
4,
3,
6,
4,
4,
3,
2,
4,
4,
3,
2,
4,
5,
7,
6,
2,
1,
2,
2,
3,
2,
2,
6,
7,
7,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
2,
2,
3,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
5,
2,
6,
5,
4,
3,
2,
5,
3,
4,
3,
7,
5,
4,
4,
4,
4,
5,
2,
3,
2,
4,
4,
3,
4,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
5,
5,
4,
5,
5,
3,
2,
4,
2,
3,
4,
2,
3,
3,
2,
4,
6,
4,
3,
4,
2,
2,
2,
2,
3,
2,
3,
3,
2,
2,
2,
2,
4,
2,
3,
5,
2,
4,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
6,
3,
6,
6,
2,
3,
4,
2,
2,
2,
3,
3,
4,
3,
3,
2,
3,
3,
6,
5,
4,
4,
6,
4,
6,
3,
3,
2,
4,
4,
4,
5,
3,
6,
3,
4,
3,
4,
2,
2,
3,
4,
3,
3,
2,
6,
2,
5,
4,
3,
2,
4,
4,
4,
2,
2,
3,
3,
2,
4,
4,
3,
3,
2,
3,
4,
4,
3,
3,
2,
3,
3,
2,
4,
2,
2,
2,
2,
2,
4,
4,
2,
3,
3,
4,
4,
7,
2,
8,
3,
3,
3,
6,
5,
4,
2,
4,
4,
5,
1,
4,
4,
3,
3,
2,
2,
2,
4,
3,
4,
4,
2,
5,
2,
4,
2,
3,
3,
2,
3,
4,
2,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
3,
3,
6,
3,
3,
3,
4,
3,
2,
5,
5,
4,
3,
3,
2,
3,
2,
3,
2,
2,
4,
3,
2,
3,
3,
2,
2,
3,
3,
3,
4,
4,
2,
2,
4,
5,
4,
2,
3,
2,
4,
4,
4,
4,
5,
4,
2,
3,
3,
4,
3,
1,
4,
2,
2,
3,
2,
3,
2,
4,
4,
4,
4,
4,
5,
4,
3,
4,
2,
2,
2,
3,
3,
4,
3,
3,
2,
1,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
4,
1,
1,
3,
4,
2,
2,
4,
4,
4,
4,
3,
4,
4,
3,
3,
2,
3,
3,
4,
2,
3,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
6,
4,
2,
4,
4,
4,
4,
2,
2,
2,
4,
2,
2,
2,
4,
2,
3,
3,
4,
2,
2,
4,
3,
4,
3,
4,
3,
3,
2,
2,
2,
3,
2,
2,
3,
3,
4,
2,
6,
2,
3,
2,
4,
4,
4,
4,
4,
4,
5,
3,
4,
4,
3,
6,
2,
2,
4,
2,
2,
4,
2,
2,
3,
4,
2,
2,
4,
3,
2,
2,
4,
4,
4,
3,
2,
4,
2,
3,
2,
3,
2,
2,
4,
2,
2,
3,
3,
5,
2,
2,
2,
2,
2,
1,
4,
5,
3,
5,
2,
2,
2,
4,
4,
3,
4,
4,
2,
5,
3,
3,
3,
4,
4,
4,
4,
2,
2,
4,
5,
4,
4,
4,
5,
3,
2,
4,
4,
3,
3,
3,
3,
2,
2,
3,
1,
6,
2,
4,
4,
3,
5,
6,
3,
4,
4,
3,
2,
6,
3,
3,
3,
2,
2,
4,
3,
4,
4,
3,
6,
5,
5,
2,
2,
3,
6,
2,
4,
6,
4,
3,
3,
2,
4,
4,
2,
3,
4,
6,
4,
4,
3,
4,
3,
3,
4,
3,
3,
5,
4,
3,
2,
2,
2,
2,
4,
4,
5,
4,
4,
4,
2,
6,
3,
3,
2,
2,
3,
3,
3,
4,
5,
4,
4,
2,
4,
6,
4,
2,
3,
3,
2,
1,
2,
2,
3,
2,
3,
3,
4,
3,
4,
5,
4,
3,
3,
3,
4,
4,
5,
5,
5,
3,
2,
1,
4,
3,
4,
3,
3,
2,
2,
2,
2,
2,
2,
1,
1,
2,
3,
2,
4,
2,
2,
2,
3,
4,
3,
4,
4,
2,
4,
2,
3,
7,
7,
2,
3,
2,
3,
3,
3,
4,
2,
2,
4,
3,
4,
6,
3,
6,
6,
5,
2,
2,
3,
3,
3,
5,
3,
3,
4,
2,
4,
2,
4,
3,
4,
2,
3,
3,
4,
4,
3,
3,
3,
3,
4,
2,
2,
2,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
3,
7,
4,
2,
5,
3,
4,
5,
3,
1,
2,
3,
2,
2,
2,
4,
4,
3,
3,
4,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
2,
3,
3,
7,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
2,
2,
3,
1,
3,
3,
3,
4,
2,
3,
3,
6,
3,
3,
4,
4,
4,
2,
2,
2,
3,
2,
2,
6,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
2,
2,
2,
2,
2,
4,
3,
9,
4,
3,
2,
2,
2,
3,
2,
4,
4,
4,
4,
5,
2,
2,
2,
2,
3,
5,
1,
2,
3,
4,
2,
3,
3,
2,
2,
2,
5,
4,
2,
2,
4,
4,
5,
3,
2,
2,
5,
2,
3,
4,
3,
2,
3,
5,
2,
4,
3,
3,
2,
3,
3,
2,
2,
4,
4,
2,
2,
3,
5,
2,
3,
4,
4,
3,
3,
4,
4,
4,
4,
3,
2,
3,
3,
2,
2,
2,
2,
5,
4,
3,
4,
4,
3,
2,
4,
4,
3,
4,
3,
4,
5,
2,
2,
2,
3,
5,
2,
3,
3,
2,
4,
3,
3,
4,
4,
4,
4,
4,
2,
2,
4,
5,
4,
4,
5,
5,
3,
3,
3,
3,
6,
2,
3,
3,
5,
2,
5,
3,
2,
1,
4,
3,
3,
2,
3,
4,
3,
3,
2,
2,
2,
4,
3,
4,
4,
7,
4,
3,
4,
4,
3,
3,
4,
3,
4,
3,
3,
3,
3,
3,
5,
4,
4,
3,
3,
3,
3,
4,
4,
4,
2,
3,
3,
4,
4,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
5,
2,
2,
4,
4,
3,
3,
5,
2,
4,
4,
4,
5,
2,
2,
4,
4,
4,
2,
4,
3,
2,
2,
4,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
2,
6,
3,
6,
4,
4,
4,
3,
2,
3,
4,
4,
4,
2,
2,
2,
3,
4,
3,
3,
3,
3,
3,
4,
5,
3,
4,
4,
4,
2,
4,
3,
5,
5,
5,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
4,
4,
3,
1,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
4,
4,
2,
2,
4,
2,
2,
7,
3,
1,
4,
2,
4,
2,
2,
2,
2,
2,
4,
2,
4,
4,
2,
2,
3,
2,
2,
3,
4,
3,
3,
3,
2,
2,
2,
3,
5,
3,
3,
3,
3,
4,
4,
4,
2,
4,
4,
2,
4,
4,
2,
4,
2,
1,
3,
3,
5,
3,
7,
3,
2,
2,
6,
4,
4,
6,
5,
5,
4,
2,
2,
4,
5,
4,
4,
4,
2,
2,
4,
4,
3,
2,
2,
4,
2,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
7,
5,
4,
6,
2,
3,
2,
2,
2,
3,
4,
2,
3,
4,
3,
4,
4,
3,
4,
4,
5,
4,
4,
3,
2,
2,
2,
2,
2,
4,
4,
2,
3,
5,
4,
3,
3,
3,
3,
6,
2,
2,
3,
3,
3,
3,
2,
3,
3,
2,
4,
2,
1,
4,
5,
6,
6,
2,
4,
2,
4,
4,
4,
4,
2,
4,
3,
2,
3,
3,
3,
8,
2,
1,
4,
4,
4,
4,
2,
2,
3,
2,
3,
2,
3,
4,
2,
4,
4,
4,
2,
4,
5,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
4,
2,
3,
6,
3,
3,
2,
8,
3,
5,
2,
6,
2,
2,
6,
2,
3,
3,
2,
1,
1,
6,
2,
5,
4,
4,
5,
3,
2,
4,
5,
2,
2,
2,
2,
4,
4,
7,
3,
3,
2,
4,
3,
3,
3,
2,
4,
2,
6,
3,
3,
3,
3,
2,
4,
3,
4,
3,
4,
3,
2,
2,
4,
4,
5,
4,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
3,
2,
4,
4,
3,
4,
2,
2,
2,
5,
6,
4,
3,
3,
3,
3,
3,
2,
2,
4,
6,
2,
3,
6,
2,
2,
3,
4,
4,
4,
2,
4,
3,
4,
2,
3,
5,
5,
4,
3,
3,
2,
3,
2,
4,
2,
3,
3,
2,
3,
4,
4,
3,
3,
3,
2,
3,
2,
3,
2,
2,
4,
4,
5,
2,
4,
4,
4,
4,
2,
2,
2,
3,
4,
7,
5,
3,
4,
4,
5,
3,
4,
2,
2,
2,
3,
2,
2,
5,
5,
6,
3,
2,
5,
5,
6,
2,
4,
4,
4,
4,
2,
4,
3,
6,
3,
6,
6,
3,
5,
2,
3,
3,
2,
3,
1,
2,
2,
4,
6,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
2,
3,
2,
4,
3,
4,
4,
4,
3,
3,
3,
2,
3,
4,
4,
3,
4,
4,
3,
3,
3,
2,
3,
4,
2,
2,
2,
3,
2,
2,
2,
3,
3,
2,
4,
4,
2,
4,
2,
4,
4,
3,
3,
4,
4,
3,
3,
5,
4,
2,
2,
4,
2,
3,
2,
2,
4,
3,
4,
4,
7,
6,
3,
4,
4,
2,
3,
4,
4,
4,
2,
3,
2,
2,
2,
2,
3,
2,
3,
4,
2,
4,
2,
4,
3,
3,
2,
4,
3,
2,
4,
3,
7,
2,
2,
2,
3,
4,
4,
2,
4,
6,
2,
3,
4,
3,
4,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
3,
2,
3,
3,
3,
5,
2,
4,
4,
5,
3,
3,
2,
2,
2,
2,
2,
2,
5,
4,
4,
4,
2,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
2,
3,
3,
2,
5,
4,
3,
3,
3,
4,
4,
3,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
5,
2,
2,
6,
3,
3,
4,
4,
3,
3,
2,
4,
3,
2,
3,
5,
1,
3,
3,
3,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
4,
2,
5,
5,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
1,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
3,
5,
4,
3,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
5,
3,
5,
2,
2,
2,
3,
4,
5,
5,
1,
2,
4,
4,
5,
2,
4,
4,
4,
4,
4,
4,
3,
6,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
2,
1,
3,
4,
4,
2,
3,
3,
3,
4,
2,
3,
2,
2,
2,
3,
2,
2,
3,
2,
2,
3,
4,
4,
4,
4,
2,
4,
2,
2,
4,
4,
3,
3,
4,
4,
2,
5,
5,
2,
3,
5,
2,
2,
2,
3,
2,
4,
5,
4,
5,
4,
4,
2,
5,
2,
2,
5,
3,
5,
4,
4,
2,
3,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
5,
5,
2,
3,
3,
2,
2,
2,
4,
3,
2,
4,
5,
6,
2,
2,
2,
3,
2,
4,
3,
3,
3,
4,
4,
4,
6,
4,
2,
4,
3,
3,
5,
3,
3,
3,
3,
3,
4,
3,
2,
3,
4,
2,
7,
3,
2,
3,
5,
3,
2,
5,
4,
3,
4,
4,
2,
4,
4,
2,
3,
6,
4,
4,
3,
4,
3,
4,
4,
4,
4,
4,
2,
3,
4,
3,
4,
3,
2,
2,
2,
2,
4,
3,
2,
2,
2,
5,
2,
2,
2,
4,
4,
2,
2,
4,
3,
4,
4,
5,
3,
2,
2,
2,
3,
4,
3,
3,
4,
2,
2,
2,
3,
3,
2,
4,
2,
3,
4,
3,
2,
3,
5,
3,
3,
3,
6,
7,
4,
2,
2,
2,
3,
2,
3,
3,
4,
3,
3,
3,
2,
2,
2,
3,
2,
2,
6,
4,
4,
2,
2,
2,
2,
2,
6,
4,
4,
4,
4,
3,
2,
2,
2,
8,
4,
4,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
7,
2,
3,
2,
2,
2,
2,
2,
3,
4,
2,
2,
5,
1,
1,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
1,
1,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
1,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
2,
3,
4,
3,
4,
4,
4,
3,
3,
3,
4,
5,
2,
2,
3,
2,
3,
3,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
4,
2,
2,
2,
3,
3,
2,
4,
4,
4,
2,
2,
3,
2,
4,
2,
3,
4,
3,
2,
2,
5,
3,
3,
2,
3,
2,
4,
5,
4,
4,
3,
2,
3,
2,
3,
3,
6,
4,
5,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
4,
5,
5,
3,
3,
3,
5,
4,
2,
4,
3,
3,
5,
3,
5,
5,
2,
4,
2,
3,
2,
4,
3,
2,
5,
2,
2,
2,
2,
3,
1,
2,
3,
8,
8,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
3,
4,
3,
2,
3,
3,
2,
2,
6,
4,
4,
3,
3,
2,
4,
4,
2,
1,
2,
2,
4,
3,
5,
4,
4,
4,
3,
4,
3,
3,
4,
5,
2,
2,
4,
2,
2,
4,
2,
3,
6,
2,
5,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
7,
4,
4,
4,
4,
4,
4,
5,
4,
4,
2,
4,
2,
2,
2,
2,
2,
3,
4,
4,
2,
6,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
5,
2,
3,
3,
2,
4,
4,
5,
5,
2,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
4,
3,
4,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
5,
4,
2,
4,
2,
2,
4,
2,
1,
1,
2,
2,
2,
2,
3,
6,
2,
4,
3,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
4,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
3,
2,
1,
2,
2,
9,
2,
2,
2,
2,
3,
2,
2,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
3,
6,
2,
2,
2,
2,
4,
3,
3,
5,
3,
3,
5,
3,
4,
4,
4,
5,
3,
3,
4,
4,
3,
4,
2,
5,
2,
3,
4,
3,
6,
3,
2,
2,
4,
2,
4,
2,
3,
3,
5,
3,
3,
4,
2,
3,
2,
5,
6,
4,
3,
4,
4,
4,
4,
6,
5,
6,
3,
8,
4,
2,
2,
4,
4,
3,
4,
4,
4,
9,
3,
3,
3,
3,
3,
1,
2,
3,
3,
3,
2,
4,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
3,
5,
2,
2,
5,
5,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
4,
2,
3,
2,
2,
2,
4,
3,
3,
2,
4,
6,
3,
2,
3,
4,
4,
4,
5,
4,
3,
3,
4,
4,
5,
3,
3,
3,
3,
3,
1,
5,
9,
4,
5,
5,
5,
3,
7,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
3,
2,
4,
5,
3,
2,
3,
2,
2,
3,
3,
3,
2,
3,
4,
5,
2,
2,
2,
2,
3,
2,
5,
4,
3,
2,
2,
3,
3,
4,
2,
2,
3,
2,
3,
3,
3,
5,
4,
2,
5,
3,
3,
2,
2,
3,
4,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
4,
3,
4,
2,
3,
3,
3,
3,
2,
4,
3,
3,
2,
3,
2,
5,
4,
4,
4,
3,
4,
4,
2,
3,
4,
3,
3,
2,
2,
3,
2,
3,
1,
2,
3,
4,
5,
5,
5,
4,
2,
4,
5,
3,
4,
2,
3,
5,
3,
3,
6,
3,
6,
2,
2,
4,
2,
3,
4,
4,
4,
5,
4,
4,
3,
3,
2,
3,
5,
4,
5,
4,
7,
2,
2,
1,
3,
3,
5,
3,
4,
2,
2,
2,
2,
3,
2,
5,
3,
2,
2,
3,
2,
3,
2,
2,
3,
2,
3,
2,
3,
2,
5,
3,
6,
5,
2,
2,
4,
3,
5,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
9,
3,
3,
3,
4,
2,
2,
3,
2,
2,
4,
4,
2,
2,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
5,
3,
3,
1,
2,
4,
2,
3,
2,
2,
4,
3,
2,
2,
2,
2,
4,
2,
2,
3,
9,
3,
3,
3,
3,
2,
3,
3,
3,
4,
4,
3,
4,
4,
2,
4,
2,
4,
4,
4,
3,
3,
3,
2,
2,
2,
3,
2,
4,
3,
3,
5,
6,
2,
4,
7,
5,
2,
4,
1,
2,
4,
2,
2,
2,
7,
4,
4,
4,
3,
2,
2,
2,
5,
2,
3,
2,
2,
2,
4,
4,
4,
3,
4,
4,
2,
3,
3,
3,
3,
5,
5,
5,
3,
3,
2,
3,
3,
3,
5,
3,
2,
2,
2,
3,
3,
4,
4,
4,
2,
2,
6,
3,
4,
4,
2,
2,
3,
4,
6,
3,
4,
4,
3,
2,
2,
2,
4,
2,
6,
6,
3,
3,
3,
3,
6,
2,
2,
2,
2,
2,
1,
3,
3,
3,
2,
2,
3,
4,
4,
3,
5,
3,
3,
3,
3,
2,
2,
3,
2,
2,
4,
4,
3,
4,
4,
3,
2,
3,
3,
3,
3,
2,
3,
3,
6,
2,
4,
3,
2,
3,
3,
4,
2,
4,
2,
5,
2,
1,
3,
4,
2,
2,
8,
6,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
3,
3,
4,
3,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
3,
2,
2,
4,
4,
4,
4,
2,
3,
7,
2,
3,
2,
2,
2,
4,
2,
3,
4,
4,
4,
2,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
4,
4,
4,
4,
2,
2,
3,
7,
3,
4,
2,
3,
4,
2,
2,
3,
3,
4,
4,
3,
4,
2,
2,
4,
2,
2,
3,
5,
2,
3,
2,
4,
4,
4,
1,
2,
4,
3,
4,
3,
3,
4,
3,
3,
4,
2,
4,
3,
3,
2,
3,
2,
4,
2,
3,
4,
2,
3,
2,
2,
3,
2,
4,
4,
4,
4,
4,
3,
5,
4,
2,
2,
4,
2,
5,
4,
3,
2,
2,
2,
3,
5,
5,
4,
3,
3,
4,
4,
2,
4,
4,
4,
3,
2,
2,
4,
3,
2,
3,
2,
3,
3,
4,
3,
3,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
2,
2,
3,
2,
4,
4,
3,
3,
2,
4,
4,
3,
6,
2,
2,
3,
4,
2,
3,
2,
3,
2,
3,
2,
2,
2,
3,
3,
2,
2,
3,
2,
2,
2,
3,
3,
2,
4,
2,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
4,
2,
3,
3,
3,
7,
4,
3,
4,
3,
2,
4,
3,
3,
2,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
2,
2,
3,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
2,
4,
4,
4,
3,
3,
3,
4,
3,
2,
2,
3,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
5,
2,
2,
2,
2,
1,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
3,
3,
3,
2,
5,
2,
2,
2,
2,
3,
3,
3,
7,
4,
4,
6,
5,
4,
4,
3,
3,
3,
2,
3,
3,
5,
5,
5,
4,
6,
3,
5,
2,
3,
2,
2,
3,
4,
4,
2,
2,
3,
2,
3,
2,
3,
3,
3,
3,
4,
5,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
4,
3,
3,
4,
2,
3,
4,
5,
6,
4,
4,
3,
2,
2,
2,
4,
4,
4,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
3,
3,
4,
4,
4,
2,
2,
4,
4,
2,
2,
4,
3,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
5,
4,
4,
4,
4,
3,
4,
4,
4,
2,
2,
3,
2,
4,
4,
2,
5,
4,
5,
2,
3,
2,
3,
3,
2,
4,
6,
3,
2,
2,
2,
4,
4,
2,
3,
3,
2,
3,
4,
3,
4,
6,
2,
4,
4,
3,
3,
2,
3,
3,
3,
2,
5,
3,
4,
3,
1,
2,
3,
2,
1,
2,
4,
2,
3,
5,
4,
4,
2,
4,
2,
3,
4,
3,
4,
2,
3,
4,
3,
3,
5,
7,
2,
2,
4,
2,
3,
3,
3,
7,
3,
3,
2,
3,
2,
3,
2,
3,
2,
3,
2,
2,
2,
1,
3,
3,
4,
3,
3,
3,
4,
3,
5,
3,
4,
4,
4,
4,
3,
4,
2,
3,
2,
4,
2,
3,
2,
2,
4,
2,
4,
2,
2,
4,
4,
4,
4,
3,
5,
4,
4,
5,
4,
2,
3,
2,
4,
2,
2,
4,
3,
5,
3,
1,
1,
5,
5,
5,
3,
4,
5,
5,
2,
4,
2,
3,
2,
1,
3,
2,
2,
2,
4,
4,
4,
1,
4,
4,
3,
4,
4,
4,
4,
4,
4,
5,
1,
4,
2,
2,
2,
2,
3,
3,
2,
2,
3,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
2,
3,
2,
2,
4,
4,
4,
2,
3,
3,
5,
3,
4,
4,
3,
2,
5,
2,
3,
6,
4,
4,
2,
2,
4,
3,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
5,
5,
2,
2,
4,
3,
2,
7,
3,
2,
4,
4,
2,
2,
2,
2,
3,
3,
5,
4,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
4,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
6,
4,
5,
5,
6,
4,
5,
3,
5,
3,
4,
4,
2,
2,
2,
2,
2,
2,
1,
3,
3,
3,
2,
2,
3,
4,
4,
2,
2,
2,
1,
2,
2,
4,
3,
3,
2,
3,
5,
3,
3,
2,
3,
3,
2,
3,
4,
2,
3,
2,
2,
2,
3,
4,
2,
2,
4,
2,
2,
5,
3,
4,
2,
4,
3,
2,
3,
3,
3,
2,
3,
3,
3,
4,
3,
3,
3,
8,
2,
4,
2,
3,
2,
2,
3,
2,
2,
3,
3,
4,
3,
2,
2,
2,
2,
4,
3,
4,
2,
4,
3,
4,
4,
4,
4,
4,
8,
2,
5,
5,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
3,
4,
2,
2,
3,
3,
3,
2,
4,
4,
2,
4,
2,
3,
4,
2,
3,
5,
3,
2,
3,
2,
3,
4,
5,
5,
5,
3,
4,
4,
5,
6,
2,
1,
2,
4,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
4,
5,
3,
2,
2,
4,
3,
3,
4,
2,
1,
1,
2,
4,
4,
2,
2,
4,
2,
3,
2,
2,
2,
1,
3,
2,
2,
2,
2,
4,
2,
4,
2,
3,
3,
2,
3,
2,
3,
4,
5,
2,
4,
4,
5,
3,
3,
4,
5,
2,
3,
3,
4,
3,
3,
6,
2,
5,
2,
2,
4,
3,
4,
4,
2,
3,
3,
3,
3,
5,
3,
4,
4,
3,
2,
2,
3,
3,
3,
2,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
5,
3,
3,
3,
4,
3,
2,
2,
2,
3,
3,
3,
3,
3,
6,
3,
5,
4,
4,
5,
4,
5,
6,
2,
4,
4,
4,
6,
6,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
6,
8,
4,
3,
5,
2,
2,
2,
3,
4,
3,
6,
3,
2,
3,
3,
3,
4,
5,
4,
2,
3,
7,
2,
2,
3,
2,
2,
4,
3,
3,
3,
4,
2,
3,
3,
2,
7,
3,
3,
3,
4,
4,
4,
5,
3,
2,
2,
3,
2,
2,
1,
2,
4,
3,
3,
3,
4,
4,
2,
3,
4,
2,
4,
2,
3,
6,
3,
4,
3,
3,
3,
3,
2,
6,
3,
3,
3,
3,
2,
3,
3,
4,
1,
4,
2,
5,
4,
2,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
5,
4,
4,
4,
3,
3,
2,
2,
1,
2,
4,
5,
3,
2,
2,
4,
2,
3,
2,
4,
5,
2,
2,
4,
3,
4,
2,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
7,
3,
2,
4,
3,
3,
3,
2,
7,
3,
2,
10,
3,
2,
4,
4,
4,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
5,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
5,
3,
5,
5,
2,
2,
3,
3,
3,
3,
2,
5,
4,
4,
2,
3,
3,
3,
3,
2,
7,
3,
4,
4,
4,
5,
3,
2,
4,
4,
4,
4,
3,
4,
4,
3,
2,
5,
4,
4,
4,
4,
2,
2,
4,
2,
4,
3,
3,
4,
3,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
2,
3,
4,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
4,
5,
5,
4,
2,
2,
4,
4,
4,
3,
3,
3,
2,
5,
2,
4,
2,
2,
2,
2,
2,
6,
4,
4,
7,
3,
2,
3,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
4,
4,
3,
4,
2,
4,
4,
4,
5,
6,
4,
5,
3,
3,
2,
3,
3,
2,
6,
6,
3,
3,
4,
4,
2,
4,
4,
2,
3,
4,
3,
3,
3,
4,
4,
2,
3,
1,
2,
4,
3,
3,
3,
4,
4,
3,
3,
2,
3,
4,
2,
2,
2,
4,
4,
6,
2,
2,
4,
1,
2,
3,
3,
7,
4,
3,
3,
4,
3,
4,
4,
4,
2,
3,
3,
6,
8,
5,
3,
2,
3,
3,
3,
2,
3,
2,
7,
6,
2,
2,
4,
1,
4,
2,
4,
3,
3,
2,
4,
4,
3,
6,
4,
3,
3,
3,
4,
5,
2,
4,
4,
4,
3,
5,
2,
3,
5,
3,
2,
5,
2,
4,
3,
5,
4,
2,
2,
2,
4,
4,
6,
4,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
3,
4,
2,
4,
3,
3,
3,
7,
5,
2,
4,
3,
6,
4,
4,
1,
4,
4,
4,
4,
3,
3,
4,
2,
2,
3,
3,
3,
4,
4,
3,
3,
2,
3,
2,
2,
3,
4,
2,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
3,
2,
6,
5,
5,
2,
2,
1,
2,
3,
2,
3,
3,
2,
2,
1,
3,
2,
2,
2,
3,
2,
2,
4,
2,
2,
2,
2,
5,
2,
5,
4,
5,
5,
3,
2,
3,
2,
3,
2,
2,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
1,
2,
3,
3,
2,
3,
4,
3,
4,
3,
2,
3,
6,
5,
5,
3,
4,
4,
4,
3,
1,
4,
2,
5,
6,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
3,
3,
4,
4,
4,
4,
3,
2,
3,
1,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
6,
1,
3,
3,
3,
2,
4,
2,
2,
4,
2,
4,
4,
2,
2,
4,
4,
4,
4,
3,
6,
4,
3,
2,
2,
3,
3,
2,
2,
4,
4,
4,
4,
3,
4,
5,
3,
4,
4,
4,
4,
2,
2,
3,
3,
3,
4,
3,
2,
2,
3,
3,
2,
1,
2,
4,
3,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
4,
1,
6,
5,
4,
2,
4,
2,
2,
7,
3,
2,
2,
4,
2,
2,
3,
2,
2,
2,
3,
2,
2,
5,
2,
3,
3,
3,
3,
3,
5,
4,
3,
4,
2,
2,
5,
2,
3,
2,
2,
2,
4,
2,
4,
2,
3,
3,
3,
2,
3,
3,
2,
4,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
3,
5,
2,
4,
5,
2,
4,
2,
3,
3,
3,
5,
3,
6,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
4,
6,
4,
4,
3,
3,
3,
3,
3,
4,
3,
4,
4,
3,
4,
2,
2,
3,
4,
4,
2,
1,
1,
1,
2,
3,
2,
4,
2,
1,
4,
5,
3,
2,
4,
2,
4,
5,
3,
4,
4,
4,
1,
1,
3,
2,
2,
2,
4,
7,
2,
3,
2,
2,
2,
2,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
5,
4,
5,
3,
3,
5,
2,
3,
2,
4,
2,
2,
2,
4,
4,
2,
2,
5,
2,
3,
2,
2,
2,
3,
3,
3,
5,
3,
3,
7,
3,
4,
4,
4,
2,
2,
4,
4,
4,
2,
4,
7,
3,
4,
3,
2,
2,
4,
2,
4,
1,
3,
3,
2,
2,
2,
6,
4,
4,
6,
2,
6,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
3,
2,
4,
4,
2,
3,
4,
2,
3,
3,
2,
4,
4,
3,
3,
4,
3,
4,
3,
3,
4,
6,
7,
3,
2,
4,
4,
2,
2,
4,
3,
3,
3,
5,
4,
2,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
4,
4,
2,
2,
2,
3,
2,
2,
2,
3,
3,
4,
4,
2,
4,
6,
4,
2,
3,
5,
4,
3,
2,
2,
3,
1,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
1,
3,
4,
5,
3,
3,
2,
2,
2,
2,
4,
4,
2,
2,
2,
4,
3,
2,
2,
2,
2,
3,
1,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
1,
4,
1,
2,
4,
2,
2,
3,
3,
3,
4,
2,
3,
2,
4,
3,
3,
3,
4,
3,
4,
3,
3,
2,
2,
2,
4,
4,
3,
3,
4,
5,
4,
3,
1,
3,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
3,
4,
6,
5,
4,
4,
6,
6,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
2,
2,
4,
4,
4,
3,
1,
4,
2,
6,
4,
3,
3,
3,
4,
3,
3,
3,
4,
5,
2,
2,
2,
2,
4,
4,
4,
3,
3,
2,
2,
3,
3,
2,
4,
3,
2,
3,
3,
5,
4,
2,
3,
3,
4,
6,
2,
4,
6,
2,
2,
3,
2,
2,
4,
4,
2,
2,
4,
4,
4,
6,
3,
2,
2,
4,
4,
3,
2,
2,
2,
2,
3,
2,
3,
3,
2,
2,
3,
6,
3,
3,
4,
4,
3,
3,
3,
2,
2,
2,
5,
4,
4,
3,
3,
3,
4,
2,
7,
4,
4,
3,
3,
2,
2,
4,
3,
3,
3,
3,
2,
2,
3,
2,
2,
4,
4,
4,
4,
2,
1,
4,
3,
2,
3,
2,
2,
2,
2,
3,
4,
7,
2,
4,
4,
4,
3,
3,
1,
4,
5,
2,
3,
3,
4,
4,
4,
3,
4,
3,
2,
2,
2,
4,
3,
3,
4,
2,
4,
2,
3,
3,
4,
3,
2,
2,
3,
4,
3,
3,
2,
2,
2,
2,
4,
2,
7,
4,
3,
4,
6,
2,
3,
2,
2,
3,
2,
3,
2,
1,
3,
2,
3,
4,
4,
4,
5,
2,
3,
4,
4,
2,
3,
2,
2,
3,
3,
4,
3,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
3,
3,
4,
2,
3,
2,
3,
2,
2,
2,
3,
4,
2,
2,
2,
2,
3,
3,
3,
2,
4,
3,
3,
3,
4,
2,
2,
3,
4,
2,
3,
2,
3,
3,
4,
4,
4,
4,
3,
4,
3,
4,
6,
3,
2,
3,
5,
3,
3,
2,
3,
3,
6,
3,
3,
3,
4,
4,
4,
3,
3,
4,
2,
2,
3,
2,
3,
4,
2,
4,
3,
3,
2,
4,
3,
2,
4,
2,
3,
3,
4,
6,
5,
2,
4,
4,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
4,
2,
2,
5,
4,
2,
2,
3,
3,
3,
2,
2,
2,
2,
4,
4,
2,
4,
4,
2,
2,
2,
4,
6,
2,
3,
3,
4,
1,
6,
6,
4,
4,
4,
4,
3,
4,
4,
2,
3,
2,
3,
3,
4,
3,
2,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
4,
2,
3,
4,
6,
3,
1,
2,
4,
3,
3,
3,
3,
1,
4,
2,
6,
1,
3,
4,
2,
3,
5,
6,
5,
2,
2,
4,
2,
2,
2,
4,
4,
3,
3,
2,
4,
3,
2,
2,
2,
3,
2,
3,
2,
3,
3,
3,
6,
3,
6,
3,
5,
4,
4,
3,
4,
3,
2,
3,
7,
7,
3,
2,
3,
4,
2,
2,
2,
3,
2,
2,
5,
4,
5,
3,
5,
2,
4,
2,
4,
2,
7,
4,
3,
2,
4,
4,
4,
5,
4,
3,
4,
4,
2,
6,
3,
3,
3,
2,
2,
2,
3,
2,
3,
3,
2,
5,
4,
3,
2,
2,
3,
3,
2,
2,
3,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
4,
4,
3,
5,
3,
3,
4,
3,
4,
4,
4,
1,
3,
2,
4,
4,
4,
4,
2,
4,
4,
3,
3,
4,
4,
3,
6,
4,
2,
2,
4,
4,
4,
4,
1,
2,
1,
2,
3,
3,
2,
3,
2,
2,
4,
2,
4,
3,
4,
2,
3,
3,
5,
5,
4,
5,
3,
4,
2,
6,
4,
4,
2,
4,
5,
3,
2,
4,
3,
2,
5,
2,
4,
3,
3,
3,
3,
2,
4,
4,
2,
2,
2,
4,
3,
4,
3,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
4,
4,
5,
2,
3,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
4,
2,
7,
7,
2,
2,
3,
4,
2,
2,
2,
7,
4,
4,
2,
4,
3,
2,
3,
2,
3,
2,
3,
4,
2,
4,
4,
4,
2,
2,
2,
3,
2,
4,
4,
3,
2,
4,
4,
4,
3,
3,
2,
3,
4,
4,
4,
4,
2,
4,
2,
5,
2,
4,
4,
4,
4,
3,
3,
4,
4,
4,
4,
3,
4,
3,
2,
4,
3,
2,
4,
6,
4,
3,
3,
5,
4,
4,
4,
2,
7,
2,
1,
2,
3,
3,
4,
4,
2,
4,
3,
2,
2,
2,
2,
3,
4,
3,
2,
2,
3,
2,
3,
2,
3,
2,
3,
5,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
4,
4,
3,
3,
3,
4,
4,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
5,
2,
2,
2,
4,
3,
4,
3,
4,
7,
5,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
5,
4,
2,
4,
5,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
3,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
2,
4,
3,
2,
4,
4,
4,
2,
2,
4,
4,
4,
2,
3,
3,
3,
3,
2,
3,
4,
3,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
4,
3,
7,
4,
2,
2,
2,
2,
4,
4,
4,
4,
3,
3,
4,
3,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
4,
2,
5,
4,
3,
4,
4,
3,
4,
3,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
4,
5,
5,
2,
3,
3,
1,
2,
5,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
4,
8,
4,
5,
5,
2,
4,
4,
5,
3,
4,
4,
4,
4,
4,
3,
3,
5,
3,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
3,
4,
4,
6,
4,
3,
3,
2,
3,
4,
8,
2,
3,
3,
4,
3,
4,
3,
4,
2,
5,
6,
5,
4,
4,
4,
4,
2,
2,
3,
2,
4,
3,
3,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
3,
2,
3,
4,
2,
2,
3,
2,
2,
2,
2,
4,
2,
4,
5,
1,
3,
4,
3,
4,
4,
4,
3,
4,
4,
2,
4,
3,
5,
4,
4,
2,
4,
4,
4,
5,
4,
3,
2,
3,
4,
3,
3,
2,
3,
5,
4,
6,
4,
4,
3,
2,
2,
3,
3,
2,
4,
3,
3,
3,
3,
4,
4,
4,
6,
4,
4,
4,
2,
4,
2,
2,
3,
3,
3,
3,
4,
4,
3,
3,
2,
3,
4,
3,
2,
3,
2,
2,
2,
2,
3,
3,
3,
1,
4,
5,
2,
2,
2,
3,
2,
3,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
5,
2,
3,
2,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
4,
4,
1,
3,
4,
4,
6,
6,
4,
4,
4,
4,
3,
4,
3,
3,
3,
3,
6,
4,
3,
4,
4,
2,
6,
2,
4,
4,
4,
3,
2,
3,
4,
2,
4,
3,
2,
3,
2,
2,
3,
4,
2,
2,
4,
4,
6,
6,
2,
3,
5,
5,
5,
2,
5,
3,
4,
3,
4,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
6,
3,
2,
3,
3,
3,
4,
2,
3,
5,
2,
2,
2,
2,
4,
4,
2,
3,
4,
2,
2,
4,
2,
5,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
5,
6,
5,
5,
6,
3,
3,
4,
4,
3,
3,
3,
4,
4,
5,
5,
4,
3,
3,
4,
3,
2,
3,
2,
2,
4,
4,
4,
4,
5,
5,
4,
5,
4,
5,
2,
4,
5,
3,
5,
5,
5,
2,
3,
4,
3,
4,
4,
4,
4,
5,
5,
5,
3,
3,
3,
2,
3,
2,
2,
2,
3,
4,
6,
3,
3,
4,
3,
2,
3,
3,
2,
2,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
4,
3,
3,
3,
4,
3,
3,
2,
3,
3,
3,
3,
3,
7,
3,
3,
3,
3,
2,
5,
1,
3,
4,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
4,
2,
4,
2,
3,
3,
3,
3,
2,
4,
4,
3,
3,
3,
6,
7,
3,
2,
2,
3,
5,
1,
3,
4,
4,
2,
2,
3,
4,
5,
3,
3,
3,
3,
5,
3,
3,
5,
6,
6,
8,
4,
4,
5,
2,
3,
4,
3,
2,
3,
2,
3,
4,
4,
2,
4,
3,
3,
3,
4,
6,
6,
4,
4,
3,
3,
4,
4,
3,
3,
3,
6,
2,
5,
3,
4,
3,
3,
3,
4,
4,
4,
3,
4,
6,
2,
3,
8,
5,
3,
4,
6,
4,
2,
6,
6,
3,
3,
5,
4,
6,
3,
4,
4,
1,
2,
4,
2,
2,
5,
4,
2,
2,
4,
2,
2,
2,
3,
3,
2,
5,
3,
2,
2,
2,
3,
2,
3,
4,
5,
2,
3,
3,
3,
3,
6,
3,
3,
3,
3,
3,
3,
3,
3,
3,
6,
3,
2,
4,
4,
4,
4,
3,
4,
4,
4,
4,
3,
3,
4,
5,
2,
2,
3,
3,
3,
2,
2,
3,
4,
3,
1,
2,
2,
3,
3,
2,
4,
3,
3,
6,
3,
3,
3,
4,
3,
2,
1,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
3,
3,
2,
4,
3,
3,
4,
4,
3,
4,
5,
4,
2,
4,
3,
2,
10,
2,
3,
3,
4,
5,
5,
2,
6,
4,
3,
4,
6,
3,
3,
2,
6,
4,
2,
4,
2,
3,
3,
4,
4,
2,
2,
6,
4,
6,
2,
4,
4,
2,
2,
2,
4,
3,
6,
4,
2,
4,
3,
0,
3,
3,
4,
6,
4,
4,
4,
5,
4,
6,
4,
3,
3,
4,
4,
4,
2,
4,
3,
3,
7,
3,
6,
3,
3,
4,
2,
1,
6,
4,
4,
6,
2,
5,
2,
3,
2,
3,
2,
2,
3,
2,
2,
2,
6,
3,
3,
4,
5,
4,
3,
3,
3,
3,
4,
4,
5,
2,
4,
6,
6,
2,
3,
4,
4,
4,
2,
4,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
5,
3,
4,
3,
3,
3,
3,
5,
10,
4,
3,
5,
2,
4,
2,
2,
2,
6,
5,
6,
2,
2,
4,
3,
3,
3,
3,
2,
2,
2,
7,
3,
3,
3,
3,
3,
4,
2,
4,
4,
5,
2,
2,
4,
4,
4,
4,
3,
4,
2,
5,
2,
3,
2,
3,
3,
2,
2,
4,
3,
4,
4,
3,
3,
3,
3,
2,
3,
2,
2,
2,
3,
3,
4,
4,
3,
3,
5,
2,
2,
2,
4,
3,
9,
10,
6,
6,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
2,
6,
3,
4,
3,
2,
4,
8,
4,
4,
3,
1,
2,
3,
3,
7,
3,
3,
2,
3,
3,
3,
4,
2,
4,
5,
2,
3,
2,
4,
2,
2,
4,
1,
2,
2,
2,
5,
3,
4,
6,
3,
6,
3,
2,
3,
5,
9,
1,
3,
4,
2,
4,
2,
4,
3,
4,
2,
2,
2,
4,
3,
3,
2,
2,
5,
3,
2,
3,
5,
4,
2,
4,
2,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
1,
3,
6,
1,
4,
2,
4,
4,
4,
4,
3,
3,
4,
5,
4,
8,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
5,
2,
4,
2,
4,
5,
3,
2,
2,
2,
2,
3,
4,
4,
4,
5,
5,
2,
3,
3,
2,
2,
2,
4,
4,
5,
7,
3,
4,
2,
2,
3,
3,
2,
5,
6,
3,
2,
4,
2,
4,
3,
2,
4,
4,
4,
4,
4,
3,
2,
2,
2,
1,
2,
3,
3,
3,
2,
4,
4,
2,
2,
3,
2,
3,
2,
3,
3,
3,
1,
2,
3,
2,
2,
3,
13,
2,
4,
3,
4,
4,
3,
3,
2,
3,
2,
4,
2,
2,
4,
3,
5,
3,
4,
3,
4,
5,
2,
3,
2,
5,
6,
2,
1,
2,
2,
3,
3,
4,
4,
2,
4,
3,
3,
2,
3,
2,
2,
2,
2,
4,
4,
2,
4,
2,
4,
5,
3,
3,
3,
5,
3,
3,
3,
3,
3,
2,
4,
2,
2,
4,
2,
4,
4,
4,
2,
3,
2,
2,
2,
2,
4,
3,
2,
2,
2,
3,
2,
2,
3,
4,
5,
2,
4,
6,
3,
3,
3,
2,
3,
1,
4,
7,
3,
5,
2,
5,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
3,
2,
4,
2,
4,
2,
3,
2,
1,
2,
4,
4,
2,
3,
3,
5,
3,
3,
7,
4,
4,
4,
2,
5,
3,
3,
4,
4,
4,
4,
4,
2,
5,
3,
2,
4,
4,
4,
4,
4,
2,
9,
7,
3,
3,
3,
4,
4,
3,
3,
5,
3,
4,
2,
2,
2,
1,
4,
4,
2,
4,
6,
4,
2,
3,
2,
3,
2,
4,
2,
4,
4,
4,
8,
4,
7,
7,
4,
2,
3,
2,
1,
1,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
3,
3,
3,
5,
3,
2,
4,
2,
5,
5,
4,
2,
2,
7,
3,
3,
2,
3,
2,
5,
3,
2,
2,
3,
3,
4,
4,
4,
2,
3,
4,
5,
5,
3,
3,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
3,
6,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
4,
3,
3,
2,
2,
3,
2,
3,
3,
5,
5,
4,
5,
4,
6,
3,
3,
3,
3,
2,
5,
4,
7,
2,
2,
4,
2,
3,
4,
2,
2,
4,
4,
2,
4,
2,
4,
4,
4,
3,
2,
2,
3,
4,
4,
3,
2,
4,
4,
3,
3,
3,
3,
2,
2,
4,
3,
2,
4,
6,
4,
4,
2,
2,
3,
2,
1,
5,
5,
2,
4,
4,
4,
5,
4,
2,
5,
3,
3,
5,
4,
4,
4,
2,
3,
2,
3,
3,
3,
3,
3,
4,
3,
2,
4,
2,
4,
4,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
3,
2,
3,
9,
5,
5,
3,
3,
4,
2,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
3,
2,
4,
4,
3,
3,
3,
3,
3,
4,
5,
5,
2,
2,
2,
3,
3,
4,
2,
5,
2,
5,
4,
2,
2,
4,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
2,
3,
4,
4,
5,
2,
3,
3,
3,
3,
2,
2,
4,
2,
2,
4,
3,
3,
2,
3,
3,
4,
2,
3,
3,
4,
3,
3,
3,
2,
6,
3,
3,
3,
2,
3,
2,
3,
3,
4,
4,
4,
4,
4,
2,
2,
1,
3,
2,
2,
3,
3,
3,
2,
2,
3,
4,
2,
3,
2,
2,
3,
3,
5,
3,
2,
5,
2,
3,
2,
4,
6,
4,
4,
2,
4,
7,
8,
5,
4,
5,
4,
3,
3,
3,
5,
2,
3,
3,
3,
2,
2,
7,
3,
4,
4,
2,
2,
2,
2,
4,
2,
3,
4,
2,
4,
2,
4,
4,
4,
4,
3,
5,
3,
4,
4,
2,
3,
3,
3,
2,
4,
3,
2,
3,
2,
3,
4,
4,
6,
4,
2,
4,
5,
4,
3,
3,
6,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
7,
3,
3,
3,
3,
4,
2,
4,
2,
5,
2,
6,
5,
5,
3,
3,
2,
2,
3,
4,
3,
3,
2,
4,
2,
2,
3,
3,
5,
5,
5,
4,
4,
3,
3,
3,
3,
4,
4,
1,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
3,
2,
4,
2,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
5,
2,
2,
3,
3,
3,
2,
2,
4,
3,
4,
6,
4,
3,
3,
5,
2,
3,
2,
4,
2,
4,
4,
3,
3,
6,
6,
6,
6,
3,
5,
3,
3,
5,
3,
5,
2,
4,
3,
4,
4,
3,
2,
3,
3,
3,
3,
1,
3,
3,
2,
2,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
6,
4,
3,
2,
3,
3,
5,
4,
2,
2,
3,
4,
2,
5,
4,
4,
4,
3,
2,
2,
3,
2,
2,
6,
3,
7,
2,
4,
1,
2,
4,
4,
2,
2,
1,
1,
1,
1,
1,
4,
4,
3,
4,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
3,
3,
5,
4,
4,
4,
4,
4,
5,
4,
4,
4,
4,
2,
2,
5,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
3,
3,
2,
2,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
2,
2,
5,
5,
3,
5,
3,
3,
3,
3,
7,
4,
2,
2,
2,
3,
2,
4,
4,
2,
3,
2,
3,
3,
4,
4,
2,
2,
3,
4,
4,
4,
2,
2,
2,
2,
3,
3,
4,
2,
1,
4,
4,
3,
4,
3,
2,
2,
2,
2,
5,
2,
3,
4,
3,
6,
6,
4,
4,
2,
2,
2,
4,
6,
2,
2,
3,
2,
4,
4,
2,
4,
6,
2,
2,
5,
2,
2,
8,
4,
3,
4,
5,
3,
3,
3,
3,
3,
4,
4,
4,
6,
2,
3,
3,
4,
2,
2,
2,
6,
5,
4,
4,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
3,
3,
2,
2,
3,
4,
4,
3,
7,
3,
2,
3,
3,
3,
2,
2,
4,
4,
2,
5,
3,
3,
2,
5,
2,
2,
3,
3,
3,
2,
4,
4,
4,
4,
4,
2,
3,
3,
4,
4,
4,
2,
2,
1,
2,
8,
2,
3,
3,
3,
7,
3,
3,
4,
2,
6,
2,
5,
2,
5,
5,
4,
2,
4,
3,
2,
2,
4,
4,
2,
2,
2,
2,
3,
3,
2,
2,
2,
7,
4,
3,
5,
2,
2,
2,
3,
2,
2,
3,
4,
3,
2,
3,
3,
3,
2,
2,
2,
4,
3,
3,
3,
4,
4,
4,
4,
3,
4,
3,
6,
7,
2,
3,
4,
4,
4,
4,
3,
4,
5,
5,
3,
4,
3,
2,
3,
3,
4,
4,
3,
4,
1,
1,
5,
3,
2,
2,
3,
1,
4,
5,
8,
4,
4,
2,
4,
4,
3,
4,
2,
4,
2,
4,
4,
6,
7,
2,
8,
2,
2,
5,
2,
2,
4,
2,
3,
3,
3,
4,
5,
4,
3,
5,
4,
4,
4,
3,
4,
4,
2,
2,
6,
3,
4,
4,
3,
2,
4,
4,
2,
2,
2,
2,
2,
4,
4,
6,
3,
2,
3,
3,
3,
3,
3,
4,
3,
4,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
6,
3,
5,
2,
3,
3,
5,
4,
5,
5,
2,
1,
1,
3,
3,
4,
3,
3,
2,
2,
3,
3,
2,
2,
4,
2,
2,
2,
4,
4,
5,
4,
2,
3,
4,
2,
4,
3,
2,
1,
5,
3,
6,
5,
5,
4,
4,
2,
2,
4,
6,
5,
2,
3,
2,
2,
3,
2,
3,
2,
3,
6,
3,
2,
6,
3,
3,
3,
5,
4,
4,
4,
4,
3,
2,
2,
2,
2,
3,
2,
4,
4,
4,
4,
2,
2,
3,
2,
6,
4,
7,
4,
5,
4,
4,
1,
3,
3,
5,
5,
2,
2,
3,
4,
2,
3,
6,
3,
3,
3,
3,
3,
4,
2,
3,
4,
4,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
2,
2,
4,
4,
2,
2,
6,
2,
4,
3,
3,
4,
3,
2,
6,
2,
4,
4,
4,
4,
2,
2,
3,
4,
3,
3,
3,
3,
4,
4,
4,
3,
2,
4,
2,
3,
3,
3,
2,
3,
4,
8,
4,
4,
2,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
5,
4,
4,
2,
2,
2,
3,
2,
2,
2,
3,
3,
4,
2,
5,
5,
7,
3,
3,
3,
3,
2,
3,
3,
3,
4,
4,
5,
3,
2,
9,
4,
4,
3,
2,
2,
4,
6,
2,
4,
2,
3,
1,
2,
2,
3,
1,
3,
2,
5,
3,
4,
3,
2,
3,
3,
4,
4,
3,
2,
3,
3,
2,
2,
1,
2,
2,
4,
3,
4,
6,
4,
3,
3,
4,
5,
4,
3,
3,
4,
3,
3,
2,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
4,
4,
3,
2,
2,
4,
4,
5,
4,
3,
2,
6,
2,
3,
4,
1,
4,
3,
3,
3,
3,
3,
5,
2,
2,
2,
2,
3,
2,
2,
2,
4,
3,
2,
2,
4,
2,
2,
4,
6,
2,
4,
2,
4,
2,
2,
2,
2,
2,
3,
2,
2,
1,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
4,
4,
3,
4,
4,
3,
3,
3,
4,
3,
3,
3,
2,
2,
3,
2,
3,
3,
4,
3,
2,
2,
4,
2,
4,
2,
4,
4,
4,
3,
3,
3,
2,
2,
4,
4,
4,
2,
3,
4,
4,
3,
4,
5,
2,
2,
3,
2,
2,
2,
5,
3,
2,
3,
2,
4,
2,
4,
8,
4,
4,
4,
2,
4,
4,
3,
2,
2,
2,
3,
1,
4,
5,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
7,
3,
3,
3,
3,
3,
3,
4,
2,
2,
4,
4,
2,
2,
2,
2,
2,
4,
4,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
3,
3,
4,
4,
3,
3,
5,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
2,
5,
4,
3,
3,
2,
3,
3,
4,
4,
8,
4,
4,
3,
4,
3,
4,
4,
3,
2,
3,
3,
4,
3,
4,
3,
3,
3,
3,
4,
5,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
2,
7,
8,
7,
4,
5,
5,
5,
4,
5,
4,
3,
2,
2,
3,
2,
3,
2,
5,
2,
2,
5,
3,
4,
4,
4,
3,
3,
2,
5,
7,
4,
4,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
5,
4,
2,
4,
2,
3,
2,
2,
4,
2,
4,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
1,
4,
2,
2,
3,
3,
3,
3,
4,
2,
3,
3,
5,
2,
2,
2,
3,
3,
4,
4,
5,
4,
2,
2,
3,
3,
4,
4,
2,
2,
3,
2,
2,
2,
4,
2,
2,
3,
3,
3,
2,
4,
3,
6,
3,
2,
4,
3,
4,
4,
2,
2,
2,
2,
5,
4,
3,
2,
2,
3,
3,
4,
2,
2,
3,
4,
3,
3,
7,
4,
3,
7,
3,
2,
3,
4,
4,
2,
4,
3,
3,
2,
2,
3,
3,
3,
4,
3,
3,
3,
4,
3,
4,
2,
3,
2,
7,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
4,
3,
3,
2,
5,
2,
3,
2,
2,
2,
2,
4,
1,
2,
1,
2,
3,
5,
5,
4,
2,
4,
3,
6,
2,
3,
4,
4,
3,
3,
3,
4,
3,
3,
3,
2,
2,
3,
4,
4,
5,
3,
2,
2,
5,
4,
2,
4,
8,
4,
2,
3,
4,
3,
5,
4,
4,
2,
3,
3,
3,
2,
5,
2,
2,
6,
3,
6,
5,
5,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
2,
2,
4,
5,
2,
6,
4,
5,
2,
4,
4,
3,
4,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
4,
4,
2,
4,
3,
4,
3,
4,
2,
2,
2,
2,
4,
4,
3,
3,
2,
1,
4,
3,
2,
4,
4,
3,
5,
3,
3,
2,
3,
2,
3,
4,
3,
3,
3,
3,
3,
2,
3,
4,
3,
3,
3,
3,
2,
3,
3,
4,
4,
3,
4,
4,
4,
2,
3,
4,
4,
2,
2,
2,
2,
4,
3,
3,
3,
5,
5,
3,
6,
2,
2,
3,
3,
2,
3,
2,
3,
3,
3,
4,
4,
3,
3,
2,
2,
2,
5,
3,
3,
4,
5,
6,
4,
4,
4,
2,
2,
3,
3,
1,
3,
3,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
3,
2,
4,
3,
2,
2,
3,
5,
4,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
4,
2,
3,
3,
2,
3,
4,
3,
5,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
2,
4,
2,
5,
5,
3,
2,
4,
4,
2,
2,
3,
2,
3,
3,
1,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
6,
4,
4,
3,
2,
4,
4,
4,
4,
4,
2,
3,
3,
3,
2,
4,
3,
2,
5,
4,
5,
5,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
3,
3,
4,
3,
4,
2,
3,
3,
2,
3,
3,
2,
4,
3,
3,
4,
6,
4,
2,
4,
4,
3,
3,
3,
3,
3,
2,
5,
4,
4,
3,
2,
2,
3,
6,
4,
2,
2,
4,
2,
3,
3,
4,
3,
4,
3,
3,
3,
2,
2,
7,
3,
3,
3,
3,
4,
3,
3,
4,
2,
2,
3,
3,
3,
3,
2,
3,
4,
2,
4,
3,
3,
4,
2,
3,
4,
4,
2,
2,
2,
2,
1,
2,
4,
2,
3,
1,
3,
4,
3,
2,
4,
2,
4,
3,
4,
3,
2,
2,
5,
4,
3,
2,
2,
3,
3,
2,
4,
4,
1,
1,
2,
2,
5,
2,
4,
2,
3,
4,
4,
4,
4,
6,
2,
5,
3,
3,
5,
3,
3,
7,
4,
3,
4,
3,
2,
4,
2,
5,
5,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
5,
2,
4,
7,
3,
2,
1,
4,
5,
3,
3,
3,
3,
4,
2,
2,
7,
2,
3,
3,
4,
4,
2,
5,
2,
4,
4,
2,
3,
5,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
2,
4,
2,
5,
4,
4,
3,
2,
2,
2,
3,
3,
4,
4,
3,
4,
4,
4,
4,
5,
3,
3,
4,
2,
2,
2,
3,
2,
3,
2,
2,
4,
3,
6,
2,
3,
5,
3,
3,
4,
5,
3,
5,
5,
2,
2,
5,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
3,
3,
3,
4,
4,
2,
2,
3,
3,
2,
3,
4,
4,
2,
2,
2,
4,
4,
2,
2,
4,
1,
5,
3,
5,
2,
4,
4,
3,
3,
2,
2,
5,
4,
2,
2,
2,
1,
3,
2,
4,
2,
5,
2,
2,
2,
3,
2,
2,
2,
2,
3,
4,
4,
1,
3,
4,
4,
2,
2,
6,
4,
6,
2,
4,
3,
2,
4,
3,
2,
2,
3,
5,
3,
3,
6,
6,
4,
5,
4,
2,
4,
4,
4,
2,
4,
2,
2,
2,
2,
3,
2,
1,
1,
2,
2,
2,
3,
2,
2,
3,
2,
3,
3,
3,
3,
3,
2,
2,
3,
4,
5,
4,
4,
4,
4,
4,
3,
2,
3,
4,
2,
3,
3,
4,
2,
4,
2,
4,
4,
3,
4,
3,
3,
3,
3,
3,
4,
4,
4,
3,
4,
5,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
6,
3,
3,
3,
4,
3,
3,
4,
2,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
2,
2,
3,
3,
3,
4,
2,
2,
3,
3,
5,
3,
2,
4,
4,
7,
2,
2,
3,
2,
4,
2,
2,
2,
2,
4,
4,
3,
2,
3,
4,
5,
6,
4,
4,
2,
3,
4,
4,
2,
3,
3,
4,
4,
4,
2,
2,
5,
2,
3,
2,
4,
2,
2,
3,
6,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
5,
4,
5,
5,
4,
5,
2,
2,
2,
2,
8,
4,
2,
2,
3,
3,
3,
3,
4,
2,
3,
3,
4,
3,
6,
7,
3,
3,
4,
2,
4,
3,
3,
4,
2,
6,
2,
3,
2,
2,
4,
4,
4,
4,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
2,
4,
2,
6,
2,
2,
2,
4,
3,
4,
3,
5,
4,
4,
4,
3,
2,
4,
4,
5,
3,
5,
6,
3,
5,
2,
3,
2,
2,
1,
2,
3,
4,
3,
3,
6,
7,
3,
2,
2,
3,
4,
4,
2,
1,
2,
5,
3,
2,
3,
2,
6,
2,
4,
5,
5,
2,
2,
2,
5,
2,
3,
3,
3,
3,
2,
2,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
2,
3,
2,
3,
6,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
5,
6,
3,
3,
4,
5,
4,
4,
2,
3,
4,
4,
4,
4,
3,
4,
3,
5,
5,
5,
4,
2,
3,
4,
4,
3,
3,
3,
2,
3,
4,
6,
2,
2,
2,
4,
2,
1,
4,
2,
2,
2,
4,
4,
2,
3,
4,
6,
4,
3,
3,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
2,
3,
3,
1,
4,
2,
3,
2,
3,
5,
3,
2,
3,
4,
4,
2,
3,
3,
4,
2,
3,
3,
2,
2,
3,
3,
4,
5,
2,
3,
4,
5,
3,
3,
1,
3,
3,
2,
2,
2,
2,
2,
6,
4,
4,
4,
4,
2,
4,
3,
2,
4,
2,
2,
2,
5,
4,
2,
4,
4,
4,
4,
4,
5,
5,
4,
3,
3,
4,
2,
2,
2,
4,
2,
2,
3,
4,
2,
2,
2,
2,
4,
3,
3,
3,
4,
6,
7,
2,
2,
2,
2,
2,
1,
5,
6,
3,
3,
4,
2,
4,
4,
3,
4,
3,
3,
4,
3,
3,
3,
3,
3,
2,
3,
3,
6,
2,
3,
3,
2,
2,
4,
4,
4,
4,
3,
2,
2,
2,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
2,
4,
2,
7,
5,
3,
2,
4,
4,
4,
2,
3,
2,
2,
2,
4,
4,
2,
2,
2,
2,
6,
3,
2,
3,
3,
1,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
3,
2,
3,
3,
3,
3,
3,
4,
2,
3,
3,
3,
3,
3,
5,
4,
3,
2,
4,
4,
3,
3,
2,
3,
4,
2,
2,
2,
3,
1,
5,
7,
2,
3,
3,
4,
3,
4,
2,
2,
4,
1,
4,
5,
4,
4,
3,
5,
2,
2,
4,
4,
4,
5,
3,
3,
4,
3,
4,
3,
3,
3,
4,
4,
4,
7,
4,
4,
2,
4,
5,
5,
4,
5,
7,
1,
4,
5,
4,
3,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
2,
3,
4,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
5,
5,
5,
5,
3,
3,
5,
2,
5,
3,
6,
1,
2,
3,
2,
3,
2,
3,
2,
3,
2,
4,
2,
2,
2,
3,
4,
2,
3,
2,
5,
3,
3,
3,
6,
3,
3,
4,
5,
5,
4,
6,
3,
3,
2,
3,
3,
4,
2,
3,
2,
4,
3,
2,
4,
4,
4,
3,
2,
3,
3,
2,
3,
2,
2,
2,
2,
4,
1,
4,
1,
1,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
4,
4,
2,
2,
2,
5,
2,
4,
4,
2,
2,
4,
6,
4,
4,
3,
3,
3,
4,
4,
4,
2,
2,
3,
3,
2,
2,
2,
5,
4,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
5,
4,
6,
4,
2,
2,
2,
7,
4,
5,
4,
5,
2,
2,
3,
3,
2,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
2,
3,
4,
4,
2,
3,
2,
3,
3,
2,
2,
4,
4,
4,
5,
2,
4,
5,
3,
3,
3,
3,
2,
3,
3,
6,
4,
3,
5,
2,
2,
4,
2,
3,
3,
4,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
7,
4,
4,
5,
3,
4,
2,
4,
4,
4,
6,
4,
2,
2,
2,
2,
3,
4,
4,
5,
3,
3,
2,
2,
2,
2,
3,
4,
4,
2,
3,
2,
2,
4,
2,
5,
2,
3,
3,
3,
2,
3,
6,
4,
4,
3,
2,
2,
2,
2,
2,
6,
4,
4,
4,
3,
2,
2,
2,
3,
2,
2,
4,
4,
5,
4,
5,
4,
3,
4,
2,
3,
3,
6,
2,
1,
2,
2,
6,
8,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
2,
2,
4,
4,
2,
2,
4,
2,
2,
3,
2,
2,
2,
3,
3,
3,
4,
4,
3,
3,
5,
4,
4,
3,
4,
5,
3,
4,
2,
3,
3,
4,
2,
4,
5,
4,
3,
2,
2,
3,
3,
3,
3,
2,
4,
2,
2,
3,
3,
4,
5,
5,
2,
3,
2,
2,
7,
2,
3,
3,
2,
4,
3,
3,
3,
4,
4,
3,
2,
2,
4,
3,
2,
4,
3,
3,
3,
2,
2,
3,
3,
4,
3,
2,
7,
4,
4,
4,
4,
4,
4,
4,
4,
4,
1,
4,
4,
5,
3,
3,
4,
3,
3,
3,
3,
2,
2,
4,
3,
3,
4,
4,
3,
3,
3,
4,
3,
3,
2,
3,
2,
3,
4,
2,
4,
4,
2,
1,
3,
4,
3,
3,
2,
2,
2,
4,
2,
3,
3,
3,
1,
2,
2,
2,
3,
3,
4,
4,
4,
2,
2,
2,
3,
3,
2,
2,
1,
3,
2,
4,
4,
4,
3,
3,
4,
5,
2,
2,
3,
3,
2,
5,
3,
3,
3,
5,
5,
2,
4,
2,
2,
2,
5,
4,
3,
2,
4,
5,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
4,
5,
2,
2,
4,
2,
4,
3,
2,
3,
3,
4,
4,
4,
4,
3,
4,
2,
4,
4,
2,
5,
3,
4,
3,
4,
4,
4,
2,
5,
5,
4,
6,
3,
2,
3,
3,
2,
4,
1,
2,
2,
3,
6,
5,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
2,
5,
3,
4,
3,
3,
5,
4,
2,
4,
4,
4,
5,
4,
3,
2,
2,
3,
2,
3,
3,
3,
3,
2,
2,
2,
1,
2,
2,
2,
3,
2,
2,
2,
3,
5,
3,
2,
3,
2,
4,
3,
3,
4,
3,
2,
3,
3,
3,
3,
4,
2,
5,
4,
4,
2,
4,
2,
2,
2,
2,
3,
3,
2,
4,
4,
2,
4,
4,
4,
4,
2,
4,
3,
3,
2,
3,
3,
4,
4,
4,
4,
3,
3,
1,
2,
2,
2,
4,
1,
4,
3,
4,
2,
3,
3,
1,
3,
3,
1,
2,
4,
8,
4,
7,
2,
3,
2,
3,
2,
4,
4,
4,
4,
3,
2,
2,
1,
4,
3,
3,
2,
5,
7,
3,
4,
7,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
3,
2,
2,
1,
3,
2,
2,
2,
2,
3,
2,
4,
5,
2,
4,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
4,
3,
3,
6,
2,
3,
3,
5,
3,
2,
4,
2,
2,
4,
3,
4,
4,
4,
5,
3,
4,
4,
4,
2,
4,
3,
4,
4,
6,
4,
3,
2,
1,
2,
2,
4,
3,
3,
3,
3,
3,
4,
4,
5,
4,
6,
1,
4,
4,
3,
3,
2,
4,
2,
4,
6,
3,
4,
2,
3,
3,
3,
2,
4,
5,
4,
2,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
3,
6,
2,
4,
4,
5,
4,
4,
3,
4,
4,
4,
3,
3,
2,
1,
2,
4,
4,
5,
1,
2,
2,
2,
2,
3,
2,
4,
2,
2,
5,
4,
2,
2,
3,
2,
2,
4,
2,
2,
2,
3,
4,
2,
4,
4,
4,
4,
3,
2,
2,
3,
2,
4,
2,
4,
2,
1,
2,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
5,
1,
4,
4,
4,
5,
5,
4,
4,
4,
2,
2,
2,
4,
3,
2,
4,
5,
3,
3,
5,
4,
2,
3,
3,
2,
2,
4,
2,
4,
4,
2,
3,
3,
2,
2,
3,
3,
4,
4,
4,
4,
2,
4,
3,
5,
2,
1,
4,
3,
4,
3,
4,
5,
2,
3,
4,
2,
3,
3,
3,
2,
2,
3,
3,
4,
3,
5,
2,
2,
3,
2,
2,
2,
2,
4,
5,
4,
5,
5,
4,
4,
4,
4,
2,
3,
2,
3,
2,
2,
3,
2,
2,
2,
5,
3,
3,
2,
4,
3,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
1,
2,
3,
3,
4,
2,
4,
2,
4,
4,
2,
1,
3,
2,
2,
3,
2,
2,
2,
6,
6,
6,
2,
4,
4,
3,
4,
8,
2,
2,
2,
2,
2,
1,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
4,
5,
2,
2,
3,
1,
4,
4,
4,
4,
4,
4,
2,
4,
3,
6,
1,
2,
4,
2,
3,
4,
1,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
3,
4,
6,
3,
3,
5,
3,
3,
3,
4,
4,
2,
5,
5,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
2,
3,
3,
4,
3,
3,
3,
5,
4,
3,
4,
4,
4,
4,
3,
2,
4,
4,
6,
2,
2,
4,
5,
2,
4,
5,
7,
2,
4,
4,
3,
4,
4,
5,
2,
5,
4,
5,
5,
4,
4,
3,
5,
4,
4,
4,
3,
3,
2,
4,
4,
3,
2,
4,
3,
3,
2,
4,
3,
2,
4,
6,
5,
5,
4,
2,
3,
2,
4,
4,
4,
3,
2,
2,
4,
2,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
5,
5,
3,
4,
4,
3,
4,
3,
4,
4,
3,
3,
3,
2,
3,
7,
7,
2,
2,
7,
5,
3,
2,
2,
2,
1,
2,
3,
3,
3,
3,
4,
4,
3,
3,
2,
2,
3,
4,
4,
4,
4,
4,
5,
4,
4,
2,
4,
3,
3,
3,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
2,
4,
3,
3,
4,
3,
2,
2,
2,
3,
1,
4,
8,
3,
3,
3,
2,
4,
2,
4,
6,
3,
2,
3,
4,
2,
2,
2,
2,
1,
4,
4,
3,
3,
3,
3,
6,
3,
3,
2,
4,
3,
3,
1,
2,
3,
3,
1,
4,
2,
3,
4,
5,
4,
3,
1,
2,
3,
2,
3,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
3,
3,
4,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
8,
3,
5,
8,
4,
5,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
4,
3,
3,
4,
3,
5,
2,
4,
3,
3,
3,
6,
6,
3,
3,
4,
4,
4,
3,
3,
3,
2,
1,
4,
3,
2,
3,
3,
3,
3,
2,
3,
5,
4,
4,
2,
4,
4,
4,
6,
6,
6,
4,
2,
4,
2,
3,
3,
3,
2,
2,
3,
2,
3,
3,
3,
2,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
3,
3,
4,
4,
3,
4,
2,
5,
2,
2,
1,
2,
2,
2,
2,
2,
5,
6,
3,
4,
4,
2,
3,
3,
2,
5,
2,
2,
3,
3,
3,
2,
3,
3,
4,
2,
4,
4,
4,
4,
4,
5,
2,
2,
3,
3,
3,
2,
3,
4,
2,
3,
3,
3,
3,
3,
4,
3,
3,
2,
2,
2,
1,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
3,
4,
6,
2,
5,
4,
4,
4,
4,
3,
9,
4,
7,
2,
5,
8,
4,
6,
6,
2,
2,
7,
1,
3,
4,
2,
2,
2,
2,
2,
3,
3,
4,
2,
3,
3,
4,
4,
5,
5,
4,
2,
2,
3,
2,
3,
4,
2,
2,
3,
3,
3,
4,
2,
6,
3,
4,
3,
4,
3,
5,
4,
3,
2,
4,
3,
2,
2,
4,
4,
4,
5,
5,
3,
3,
5,
4,
3,
3,
4,
2,
2,
2,
3,
2,
2,
8,
4,
4,
2,
6,
6,
5,
4,
2,
5,
7,
4,
3,
4,
4,
4,
2,
2,
4,
4,
4,
2,
4,
2,
2,
4,
6,
4,
7,
3,
3,
2,
4,
5,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
1,
2,
3,
2,
2,
4,
4,
4,
3,
3,
4,
3,
3,
4,
2,
2,
3,
4,
3,
4,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
4,
4,
2,
3,
3,
4,
4,
2,
4,
4,
5,
4,
3,
4,
4,
3,
3,
6,
3,
3,
2,
2,
2,
3,
3,
3,
3,
5,
3,
5,
5,
2,
2,
2,
3,
3,
4,
5,
4,
2,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
4,
1,
4,
2,
4,
4,
5,
2,
2,
2,
6,
3,
3,
2,
4,
4,
2,
2,
5,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
3,
2,
4,
1,
4,
2,
2,
4,
3,
2,
3,
4,
3,
7,
2,
2,
2,
2,
4,
3,
2,
3,
4,
3,
4,
4,
4,
4,
4,
2,
4,
2,
4,
3,
5,
3,
2,
3,
4,
5,
4,
2,
3,
4,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
9,
3,
2,
2,
5,
4,
4,
3,
1,
5,
3,
5,
4,
5,
3,
3,
2,
2,
2,
2,
4,
8,
6,
2,
4,
4,
4,
4,
4,
5,
4,
4,
3,
5,
2,
2,
2,
4,
2,
2,
4,
4,
4,
4,
2,
5,
3,
3,
3,
5,
5,
3,
5,
5,
5,
3,
5,
3,
3,
5,
3,
1,
2,
4,
2,
2,
2,
5,
5,
6,
6,
3,
2,
2,
2,
4,
4,
2,
2,
4,
4,
4,
2,
2,
2,
4,
3,
3,
5,
3,
2,
3,
3,
2,
6,
3,
4,
2,
3,
3,
4,
4,
3,
2,
3,
4,
6,
2,
4,
3,
2,
3,
3,
3,
3,
4,
4,
3,
4,
2,
2,
2,
4,
4,
5,
2,
4,
1,
2,
2,
4,
4,
3,
3,
3,
3,
2,
4,
2,
5,
4,
3,
4,
3,
4,
4,
4,
3,
3,
3,
2,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
5,
2,
5,
4,
1,
2,
4,
8,
5,
3,
3,
6,
2,
2,
4,
6,
3,
4,
3,
3,
4,
5,
6,
7,
4,
4,
4,
2,
4,
4,
4,
4,
4,
6,
4,
3,
4,
2,
2,
4,
4,
4,
3,
2,
3,
2,
3,
3,
3,
3,
3,
2,
3,
2,
2,
3,
2,
5,
5,
4,
3,
4,
4,
4,
2,
2,
2,
2,
3,
2,
6,
3,
4,
2,
4,
5,
3,
3,
4,
4,
6,
2,
2,
4,
4,
2,
3,
3,
3,
3,
4,
4,
4,
5,
5,
3,
4,
3,
3,
3,
3,
2,
2,
4,
2,
4,
4,
2,
4,
4,
2,
4,
4,
4,
5,
5,
3,
3,
3,
3,
4,
5,
2,
3,
6,
4,
4,
3,
3,
4,
3,
4,
4,
5,
5,
3,
4,
2,
2,
3,
4,
6,
4,
2,
4,
4,
1,
4,
3,
4,
3,
4,
4,
2,
3,
4,
3,
3,
2,
2,
2,
4,
2,
3,
3,
5,
2,
4,
3,
2,
2,
2,
3,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
5,
5,
6,
3,
2,
3,
4,
3,
1,
3,
3,
1,
4,
5,
4,
5,
4,
5,
2,
4,
2,
4,
4,
4,
4,
3,
3,
4,
3,
3,
4,
5,
4,
4,
8,
3,
4,
4,
4,
4,
4,
5,
2,
3,
3,
4,
5,
5,
5,
4,
3,
3,
3,
3,
3,
2,
4,
4,
2,
6,
3,
2,
2,
4,
7,
2,
3,
4,
4,
3,
4,
5,
4,
2,
2,
2,
5,
3,
3,
5,
3,
4,
8,
3,
3,
3,
2,
1,
2,
5,
3,
2,
3,
3,
4,
4,
5,
5,
2,
2,
2,
2,
4,
3,
3,
2,
4,
7,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
4,
2,
2,
4,
2,
4,
7,
7,
6,
4,
4,
4,
6,
6,
4,
3,
4,
3,
4,
4,
4,
4,
3,
4,
5,
3,
2,
2,
2,
6,
2,
2,
2,
5,
2,
2,
3,
2,
3,
2,
4,
4,
3,
2,
3,
3,
6,
4,
4,
4,
5,
2,
4,
3,
5,
5,
3,
2,
1,
3,
6,
4,
2,
2,
2,
2,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
5,
2,
3,
4,
3,
4,
4,
4,
6,
2,
4,
2,
2,
3,
2,
4,
3,
4,
2,
4,
2,
2,
2,
2,
2,
5,
2,
5,
4,
2,
2,
1,
5,
2,
3,
3,
3,
3,
2,
2,
2,
1,
2,
2,
3,
3,
2,
2,
5,
4,
3,
2,
5,
6,
4,
4,
4,
3,
3,
2,
6,
3,
2,
2,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
1,
2,
3,
2,
4,
3,
4,
4,
4,
2,
3,
2,
2,
4,
3,
2,
2,
2,
2,
4,
3,
2,
3,
6,
3,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
4,
2,
3,
1,
2,
2,
4,
2,
2,
4,
2,
4,
2,
3,
5,
1,
2,
3,
6,
5,
4,
4,
4,
4,
3,
3,
4,
4,
5,
3,
7,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
5,
1,
4,
1,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
5,
5,
5,
3,
3,
3,
4,
4,
5,
4,
4,
4,
2,
4,
3,
3,
4,
4,
4,
4,
4,
3,
2,
3,
4,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
2,
2,
2,
2,
3,
8,
2,
9,
2,
4,
3,
2,
2,
2,
3,
4,
6,
3,
3,
4,
4,
1,
3,
2,
2,
2,
2,
5,
3,
3,
1,
3,
3,
5,
3,
6,
3,
3,
4,
2,
4,
4,
2,
4,
3,
2,
3,
3,
4,
3,
3,
3,
4,
3,
3,
2,
3,
3,
3,
4,
3,
3,
2,
4,
2,
6,
3,
2,
3,
4,
5,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
1,
2,
2,
3,
4,
8,
2,
2,
4,
4,
4,
5,
5,
4,
4,
4,
3,
4,
6,
4,
5,
4,
2,
4,
3,
3,
4,
4,
8,
8,
6,
3,
7,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
2,
4,
8,
4,
3,
2,
5,
8,
5,
3,
4,
3,
5,
7,
3,
4,
5,
3,
3,
3,
1,
2,
2,
2,
2,
3,
3,
3,
7,
4,
4,
4,
4,
4,
2,
9,
4,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
2,
4,
2,
4,
4,
4,
4,
2,
4,
2,
4,
3,
2,
4,
4,
2,
2,
5,
2,
2,
4,
2,
3,
4,
4,
3,
1,
2,
3,
2,
3,
4,
2,
2,
2,
3,
3,
2,
2,
2,
3,
2,
3,
3,
3,
2,
2,
3,
2,
2,
2,
4,
2,
3,
5,
5,
4,
6,
5,
5,
4,
2,
2,
2,
2,
3,
4,
4,
2,
2,
2,
2,
2,
5,
4,
2,
3,
3,
3,
3,
2,
4,
2,
4,
4,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
4,
5,
4,
2,
3,
2,
2,
4,
3,
3,
2,
2,
2,
3,
3,
3,
4,
4,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
4,
3,
4,
5,
3,
3,
3,
4,
2,
2,
3,
3,
3,
2,
6,
4,
2,
2,
4,
4,
4,
2,
3,
4,
2,
4,
1,
4,
2,
2,
1,
3,
4,
4,
5,
3,
4,
3,
3,
3,
4,
2,
3,
4,
4,
4,
3,
3,
4,
4,
2,
4,
2,
3,
2,
2,
3,
3,
3,
2,
8,
2,
4,
2,
4,
3,
2,
2,
3,
2,
3,
2,
2,
3,
5,
4,
2,
6,
2,
4,
2,
2,
2,
4,
1,
2,
3,
5,
2,
4,
2,
3,
2,
3,
4,
3,
2,
2,
4,
7,
4,
4,
2,
2,
3,
2,
2,
4,
3,
1,
4,
2,
3,
2,
3,
3,
3,
4,
3,
2,
3,
3,
2,
3,
3,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
8,
2,
3,
2,
5,
3,
3,
2,
3,
3,
3,
2,
4,
1,
2,
4,
4,
2,
2,
3,
2,
3,
3,
3,
3,
4,
2,
2,
2,
3,
2,
4,
2,
4,
7,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
5,
3,
4,
3,
3,
2,
2,
3,
2,
3,
4,
2,
2,
2,
5,
3,
2,
3,
3,
2,
3,
2,
5,
3,
2,
2,
3,
4,
2,
2,
4,
3,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
5,
4,
2,
2,
2,
5,
4,
6,
3,
3,
3,
4,
3,
3,
5,
4,
4,
5,
2,
4,
2,
2,
2,
6,
3,
4,
3,
6,
4,
3,
2,
4,
2,
4,
4,
8,
8,
4,
4,
2,
4,
2,
2,
2,
3,
4,
3,
4,
1,
2,
2,
2,
3,
4,
3,
4,
4,
4,
3,
2,
4,
3,
2,
3,
1,
4,
4,
4,
2,
4,
2,
3,
2,
2,
4,
4,
1,
4,
4,
3,
4,
3,
6,
3,
2,
4,
3,
3,
4,
3,
4,
3,
3,
3,
3,
3,
2,
4,
4,
2,
2,
4,
2,
3,
1,
3,
4,
4,
2,
4,
4,
2,
2,
2,
2,
3,
2,
4,
3,
4,
4,
4,
4,
3,
2,
2,
6,
2,
5,
2,
2,
3,
2,
2,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
2,
3,
4,
7,
4,
4,
4,
3,
1,
4,
3,
1,
3,
4,
3,
2,
5,
2,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
4,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
6,
2,
2,
2,
4,
5,
3,
4,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
3,
6,
7,
4,
2,
4,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
4,
4,
2,
2,
2,
4,
3,
4,
2,
2,
4,
3,
4,
6,
2,
2,
2,
3,
3,
2,
2,
3,
3,
4,
2,
5,
3,
2,
3,
3,
2,
3,
2,
4,
2,
4,
4,
4,
4,
3,
2,
4,
5,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
5,
4,
3,
4,
2,
3,
4,
5,
3,
4,
4,
4,
6,
2,
4,
3,
7,
4,
2,
2,
3,
4,
4,
2,
2,
2,
2,
5,
3,
4,
4,
3,
2,
2,
2,
4,
2,
3,
5,
1,
2,
2,
2,
2,
2,
4,
4,
4,
3,
1,
3,
3,
2,
4,
2,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
3,
3,
3,
4,
3,
5,
5,
4,
2,
3,
3,
4,
3,
3,
4,
2,
2,
2,
3,
3,
4,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
5,
2,
3,
4,
5,
3,
5,
5,
4,
2,
2,
2,
2,
5,
5,
4,
4,
4,
6,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
5,
3,
3,
4,
4,
4,
3,
5,
5,
6,
2,
2,
3,
4,
4,
1,
2,
2,
4,
2,
4,
4,
7,
4,
2,
4,
4,
2,
2,
2,
3,
5,
2,
1,
3,
3,
2,
2,
2,
2,
4,
3,
4,
3,
3,
3,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
2,
3,
2,
3,
7,
4,
2,
2,
3,
2,
3,
4,
4,
2,
5,
5,
3,
2,
3,
2,
4,
2,
4,
7,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
2,
3,
3,
2,
5,
5,
4,
5,
5,
4,
4,
2,
2,
2,
2,
3,
4,
2,
5,
4,
3,
4,
9,
2,
2,
2,
2,
3,
4,
2,
4,
4,
5,
4,
4,
4,
4,
2,
4,
7,
4,
6,
7,
3,
3,
3,
3,
3,
3,
3,
4,
5,
3,
3,
3,
2,
3,
7,
7,
2,
2,
3,
4,
4,
3,
1,
3,
2,
2,
3,
2,
4,
2,
2,
2,
3,
3,
2,
4,
2,
2,
4,
4,
2,
4,
2,
5,
2,
2,
2,
3,
6,
4,
2,
4,
4,
4,
3,
4,
4,
2,
2,
5,
2,
4,
2,
6,
4,
2,
3,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
4,
4,
6,
1,
3,
5,
4,
2,
4,
3,
1,
2,
4,
5,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
5,
3,
2,
2,
2,
4,
2,
2,
7,
4,
4,
5,
4,
4,
4,
5,
2,
2,
4,
4,
4,
4,
5,
4,
2,
2,
4,
3,
2,
2,
4,
1,
2,
4,
2,
1,
5,
3,
4,
3,
4,
5,
5,
4,
4,
4,
4,
5,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
4,
4,
1,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
6,
4,
4,
3,
3,
2,
3,
3,
6,
4,
4,
4,
5,
3,
3,
3,
4,
4,
3,
4,
3,
5,
4,
4,
4,
2,
4,
1,
4,
3,
3,
2,
2,
4,
2,
4,
2,
2,
4,
2,
4,
4,
5,
4,
3,
5,
4,
4,
4,
2,
2,
4,
2,
3,
5,
2,
6,
3,
3,
3,
3,
5,
3,
4,
4,
3,
2,
4,
4,
4,
3,
2,
4,
4,
3,
4,
6,
2,
2,
4,
2,
3,
2,
3,
3,
3,
3,
2,
2,
4,
6,
6,
4,
4,
4,
5,
2,
3,
2,
4,
4,
3,
3,
3,
3,
2,
2,
2,
3,
2,
4,
2,
2,
4,
3,
3,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
3,
1,
4,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
3,
3,
4,
4,
7,
4,
4,
4,
3,
4,
4,
4,
4,
3,
2,
4,
3,
2,
2,
6,
6,
2,
2,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
7,
7,
5,
4,
4,
3,
6,
2,
2,
3,
4,
4,
2,
2,
3,
4,
4,
4,
3,
3,
2,
4,
2,
3,
2,
3,
1,
2,
2,
3,
2,
3,
3,
4,
3,
3,
2,
2,
2,
2,
1,
2,
2,
4,
4,
4,
3,
3,
1,
1,
3,
2,
2,
3,
2,
5,
2,
2,
2,
3,
3,
3,
4,
4,
4,
6,
3,
4,
3,
3,
3,
3,
4,
6,
2,
4,
2,
4,
5,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
4,
2,
2,
4,
2,
1,
4,
4,
2,
2,
4,
2,
4,
3,
2,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
6,
2,
3,
5,
3,
4,
2,
5,
5,
2,
5,
5,
6,
4,
5,
5,
3,
2,
2,
2,
2,
2,
4,
4,
3,
2,
2,
2,
3,
4,
3,
2,
3,
2,
5,
5,
3,
2,
2,
4,
2,
4,
4,
4,
2,
4,
2,
4,
2,
4,
1,
4,
4,
3,
4,
4,
4,
5,
5,
2,
3,
3,
5,
5,
3,
2,
2,
2,
2,
1,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
1,
4,
2,
4,
4,
3,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
2,
3,
3,
2,
3,
3,
3,
2,
2,
3,
4,
3,
4,
3,
4,
2,
4,
2,
4,
2,
2,
2,
3,
4,
5,
4,
2,
2,
3,
4,
6,
2,
4,
5,
4,
3,
2,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
4,
2,
4,
4,
5,
2,
7,
4,
3,
2,
3,
3,
3,
3,
3,
3,
2,
3,
6,
2,
2,
7,
7,
3,
5,
3,
2,
4,
2,
4,
6,
2,
4,
2,
3,
2,
4,
4,
3,
3,
2,
2,
2,
2,
5,
3,
3,
2,
1,
1,
3,
3,
3,
2,
4,
2,
3,
2,
4,
3,
3,
3,
3,
3,
4,
4,
4,
5,
4,
6,
2,
2,
2,
2,
2,
6,
4,
2,
5,
4,
4,
2,
3,
3,
3,
3,
3,
3,
4,
7,
7,
3,
4,
4,
2,
2,
2,
2,
5,
4,
4,
1,
2,
3,
5,
2,
4,
4,
6,
4,
2,
3,
3,
2,
2,
2,
2,
3,
3,
2,
2,
5,
3,
4,
2,
3,
2,
4,
2,
4,
4,
3,
3,
7,
3,
2,
3,
4,
3,
4,
3,
2,
3,
3,
4,
3,
4,
3,
4,
2,
3,
3,
2,
2,
3,
4,
4,
2,
4,
4,
4,
4,
4,
2,
2,
3,
4,
2,
4,
4,
7,
2,
2,
2,
3,
4,
4,
4,
5,
4,
2,
4,
2,
2,
3,
4,
2,
2,
4,
4,
2,
4,
4,
3,
2,
2,
2,
3,
3,
2,
3,
4,
4,
3,
4,
6,
3,
2,
2,
4,
3,
5,
4,
3,
4,
4,
5,
1,
2,
3,
4,
4,
2,
3,
3,
8,
2,
4,
3,
2,
2,
4,
4,
3,
5,
2,
2,
2,
2,
2,
2,
4,
2,
6,
5,
4,
3,
4,
4,
4,
4,
4,
3,
4,
4,
3,
3,
4,
4,
2,
3,
4,
4,
3,
4,
3,
3,
2,
4,
4,
4,
3,
3,
3,
2,
5,
4,
4,
4,
2,
3,
2,
3,
2,
4,
3,
2,
4,
4,
2,
3,
4,
2,
3,
3,
3,
3,
4,
3,
2,
2,
4,
3,
2,
4,
2,
2,
2,
3,
5,
4,
4,
2,
4,
4,
4,
4,
3,
2,
2,
5,
3,
2,
3,
4,
3,
3,
4,
3,
3,
3,
3,
5,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
5,
3,
6,
2,
3,
5,
3,
2,
3,
3,
4,
2,
3,
2,
5,
3,
5,
6,
2,
2,
3,
3,
3,
3,
4,
3,
2,
3,
2,
3,
3,
2,
2,
4,
3,
3,
3,
4,
3,
3,
3,
6,
4,
4,
5,
3,
4,
4,
4,
3,
5,
4,
2,
4,
3,
2,
2,
2,
2,
3,
3,
3,
4,
4,
5,
5,
3,
3,
4,
4,
3,
8,
8,
4,
6,
6,
1,
3,
3,
3,
3,
2,
2,
3,
4,
3,
3,
3,
3,
2,
3,
2,
3,
3,
3,
2,
4,
7,
6,
2,
3,
4,
3,
4,
2,
2,
2,
3,
3,
3,
2,
4,
2,
2,
4,
4,
2,
3,
3,
6,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
2,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
2,
2,
4,
4,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
4,
3,
2,
4,
4,
2,
2,
2,
3,
4,
3,
2,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
4,
4,
2,
2,
2,
4,
4,
4,
4,
3,
5,
4,
3,
2,
3,
2,
2,
4,
4,
2,
2,
4,
6,
2,
2,
2,
5,
3,
3,
4,
3,
2,
2,
3,
3,
4,
5,
6,
5,
3,
2,
3,
7,
6,
4,
2,
3,
2,
3,
3,
4,
4,
4,
1,
3,
3,
3,
2,
4,
2,
4,
2,
2,
2,
2,
2,
3,
4,
1,
3,
3,
5,
4,
3,
3,
4,
2,
2,
4,
3,
6,
4,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
2,
3,
2,
3,
4,
2,
2,
6,
3,
2,
3,
2,
3,
3,
3,
4,
2,
1,
3,
4,
3,
4,
5,
4,
5,
2,
4,
2,
4,
4,
2,
3,
4,
1,
2,
4,
3,
4,
4,
2,
4,
2,
3,
4,
3,
3,
4,
2,
6,
4,
2,
2,
4,
2,
2,
4,
4,
3,
4,
2,
2,
4,
3,
6,
3,
4,
3,
2,
2,
2,
3,
2,
4,
2,
5,
3,
8,
4,
4,
3,
4,
4,
4,
4,
4,
3,
4,
2,
3,
4,
4,
4,
7,
2,
4,
2,
2,
5,
4,
7,
3,
4,
4,
4,
3,
2,
4,
4,
2,
6,
4,
5,
4,
4,
2,
2,
2,
2,
2,
4,
4,
3,
4,
4,
2,
3,
2,
5,
6,
2,
2,
3,
2,
3,
3,
2,
6,
5,
4,
4,
5,
4,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
3,
3,
2,
3,
2,
3,
3,
2,
2,
3,
4,
2,
2,
4,
3,
2,
4,
4,
2,
3,
4,
3,
3,
3,
2,
3,
2,
2,
6,
3,
5,
2,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
2,
2,
6,
2,
2,
2,
2,
2,
2,
6,
3,
2,
4,
2,
3,
3,
3,
2,
2,
4,
2,
2,
3,
3,
4,
4,
3,
4,
5,
5,
5,
5,
5,
2,
3,
8,
2,
3,
3,
2,
4,
2,
3,
3,
4,
4,
2,
4,
3,
3,
2,
4,
4,
3,
2,
3,
2,
3,
3,
4,
1,
3,
3,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
4,
2,
2,
3,
2,
4,
4,
4,
5,
2,
4,
4,
5,
2,
4,
3,
3,
2,
4,
2,
5,
5,
2,
6,
2,
4,
4,
2,
7,
5,
4,
3,
2,
2,
2,
3,
4,
4,
2,
2,
4,
3,
5,
3,
3,
5,
2,
5,
3,
3,
3,
2,
6,
6,
2,
2,
2,
5,
5,
4,
2,
3,
2,
2,
2,
4,
2,
2,
2,
4,
3,
2,
4,
3,
4,
4,
4,
6,
3,
2,
3,
3,
3,
3,
3,
4,
4,
4,
2,
5,
2,
3,
3,
4,
2,
2,
4,
2,
3,
3,
1,
4,
4,
2,
4,
5,
5,
4,
5,
2,
4,
2,
2,
4,
3,
2,
2,
2,
2,
3,
3,
3,
2,
5,
3,
5,
4,
3,
2,
2,
1,
3,
2,
3,
3,
4,
4,
4,
4,
4,
2,
2,
4,
2,
6,
3,
2,
2,
2,
8,
3,
2,
1,
2,
2,
6,
3,
3,
3,
3,
3,
4,
3,
2,
2,
5,
5,
4,
4,
2,
1,
2,
1,
2,
2,
3,
2,
1,
5,
3,
7,
5,
5,
2,
1,
2,
2,
4,
4,
5,
5,
2,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
3,
3,
4,
2,
3,
4,
4,
4,
4,
4,
2,
2,
4,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
4,
2,
3,
5,
3,
4,
4,
4,
2,
4,
3,
2,
2,
2,
2,
2,
4,
3,
2,
3,
5,
4,
3,
4,
2,
4,
2,
2,
2,
4,
3,
4,
4,
2,
3,
5,
3,
3,
3,
4,
3,
4,
3,
2,
3,
4,
3,
4,
2,
2,
4,
2,
2,
2,
3,
2,
3,
3,
2,
2,
3,
2,
3,
5,
6,
5,
4,
2,
2,
2,
4,
5,
3,
2,
2,
2,
5,
3,
3,
3,
3,
3,
3,
3,
3,
5,
4,
5,
4,
2,
1,
3,
5,
4,
3,
4,
4,
3,
4,
2,
2,
4,
4,
3,
2,
2,
2,
2,
1,
1,
5,
4,
4,
2,
4,
4,
3,
2,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
6,
4,
4,
4,
3,
4,
2,
2,
3,
2,
3,
5,
2,
4,
7,
5,
4,
3,
3,
4,
3,
3,
2,
5,
3,
4,
5,
2,
2,
4,
3,
2,
2,
2,
3,
4,
3,
3,
5,
4,
7,
3,
2,
3,
3,
3,
4,
3,
2,
3,
3,
2,
2,
4,
4,
3,
3,
2,
2,
3,
4,
4,
4,
3,
5,
2,
3,
3,
3,
2,
2,
5,
4,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
1,
2,
5,
3,
4,
2,
3,
3,
2,
5,
3,
3,
3,
3,
2,
3,
2,
3,
3,
2,
4,
7,
3,
4,
4,
2,
4,
4,
4,
3,
2,
2,
4,
4,
4,
4,
4,
5,
4,
5,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
5,
3,
4,
4,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
4,
6,
4,
4,
3,
4,
2,
3,
2,
4,
5,
4,
2,
5,
2,
3,
2,
4,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
7,
4,
4,
3,
4,
1,
3,
3,
4,
3,
4,
2,
4,
3,
3,
2,
2,
4,
1,
2,
2,
1,
3,
3,
2,
3,
2,
3,
3,
4,
3,
3,
3,
3,
4,
3,
3,
4,
4,
2,
2,
3,
3,
4,
4,
2,
2,
2,
3,
2,
2,
4,
4,
4,
2,
2,
2,
4,
2,
4,
4,
4,
4,
3,
4,
3,
4,
4,
4,
2,
4,
2,
6,
4,
5,
7,
4,
2,
4,
4,
5,
7,
3,
4,
3,
2,
5,
4,
4,
5,
2,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
6,
3,
2,
2,
2,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
6,
5,
5,
4,
4,
4,
4,
5,
3,
2,
2,
4,
2,
2,
2,
3,
3,
3,
4,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
1,
3,
3,
3,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
4,
1,
3,
3,
4,
4,
4,
4,
4,
2,
3,
4,
2,
3,
3,
3,
3,
3,
7,
4,
2,
2,
3,
3,
4,
4,
2,
3,
3,
4,
3,
4,
3,
2,
6,
4,
4,
2,
3,
2,
2,
4,
3,
2,
2,
3,
4,
4,
4,
2,
2,
2,
4,
2,
4,
4,
2,
2,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
2,
3,
2,
2,
2,
3,
4,
2,
3,
3,
4,
4,
4,
2,
4,
2,
4,
4,
2,
4,
2,
4,
2,
4,
4,
2,
2,
2,
3,
3,
3,
4,
5,
5,
5,
5,
3,
3,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
1,
4,
3,
3,
3,
3,
2,
4,
2,
1,
4,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
4,
4,
3,
3,
3,
1,
2,
3,
4,
4,
4,
4,
4,
3,
3,
2,
3,
2,
2,
2,
3,
3,
4,
2,
5,
2,
3,
2,
3,
3,
4,
3,
6,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
6,
4,
2,
4,
4,
4,
6,
4,
3,
3,
3,
3,
2,
3,
2,
2,
3,
2,
2,
3,
3,
3,
3,
2,
1,
2,
2,
2,
4,
2,
3,
4,
3,
5,
3,
4,
2,
2,
2,
2,
4,
1,
2,
3,
4,
2,
2,
3,
3,
3,
2,
3,
2,
2,
3,
4,
2,
2,
2,
2,
3,
4,
4,
4,
4,
5,
5,
6,
3,
5,
3,
2,
6,
2,
3,
4,
4,
3,
2,
2,
2,
4,
1,
2,
3,
2,
2,
2,
2,
2,
2,
3,
5,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
5,
4,
3,
4,
4,
4,
2,
4,
2,
3,
3,
3,
1,
2,
2,
2,
3,
7,
3,
3,
2,
2,
4,
4,
4,
2,
4,
2,
4,
4,
5,
4,
2,
4,
5,
3,
4,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
2,
4,
3,
5,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
6,
4,
8,
4,
4,
4,
4,
3,
4,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
3,
2,
4,
3,
4,
3,
3,
2,
2,
3,
2,
3,
2,
1,
2,
3,
2,
6,
3,
6,
2,
3,
2,
4,
3,
3,
3,
2,
4,
2,
2,
4,
4,
2,
2,
4,
2,
2,
3,
3,
2,
2,
2,
3,
2,
2,
5,
4,
4,
4,
4,
4,
2,
3,
4,
2,
4,
4,
3,
3,
4,
4,
4,
4,
4,
5,
2,
2,
4,
3,
2,
2,
5,
2,
2,
4,
3,
4,
4,
2,
2,
4,
3,
4,
4,
2,
4,
4,
4,
4,
2,
2,
1,
3,
3,
5,
2,
4,
4,
3,
5,
4,
4,
2,
6,
2,
2,
6,
3,
2,
4,
4,
4,
4,
4,
4,
3,
2,
4,
6,
4,
3,
4,
3,
4,
2,
2,
2,
4,
3,
3,
3,
2,
4,
3,
3,
3,
2,
4,
3,
4,
2,
3,
3,
3,
4,
4,
3,
3,
3,
2,
2,
4,
2,
10,
6,
9,
5,
8,
2,
2,
2,
2,
2,
4,
4,
5,
4,
4,
4,
2,
2,
3,
6,
4,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
4,
2,
2,
3,
3,
5,
4,
3,
6,
3,
3,
3,
4,
3,
3,
3,
2,
3,
3,
4,
3,
3,
4,
5,
3,
3,
4,
3,
3,
3,
1,
20,
21,
2,
3,
2,
3,
3,
3,
3,
6,
2,
3,
4,
2,
3,
6,
3,
3,
6,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
3,
2,
4,
2,
1,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
5,
4,
2,
2,
4,
3,
1,
4,
4,
3,
7,
4,
3,
3,
7,
3,
7,
3,
5,
6,
3,
3,
3,
5,
3,
3,
4,
3,
3,
3,
3,
4,
4,
7,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
2,
2,
4,
4,
3,
4,
4,
4,
2,
2,
2,
3,
4,
4,
8,
3,
2,
4,
4,
2,
2,
6,
6,
6,
4,
4,
2,
4,
3,
3,
2,
2,
4,
4,
2,
2,
3,
4,
4,
3,
4,
6,
4,
4,
4,
2,
4,
2,
3,
4,
4,
4,
2,
4,
3,
4,
2,
3,
4,
4,
4,
7,
4,
4,
2,
2,
2,
3,
4,
3,
2,
2,
3,
3,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
5,
5,
5,
2,
3,
3,
3,
3,
3,
4,
2,
4,
2,
3,
2,
3,
3,
2,
2,
3,
3,
3,
6,
3,
2,
3,
6,
3,
7,
8,
3,
3,
3,
3,
2,
2,
2,
2,
3,
4,
3,
2,
3,
2,
2,
4,
2,
2,
1,
3,
2,
2,
6,
3,
2,
3,
3,
3,
5,
4,
3,
2,
2,
3,
5,
4,
2,
2,
5,
4,
4,
4,
3,
3,
6,
4,
4,
6,
4,
4,
6,
4,
6,
4,
5,
6,
2,
7,
3,
6,
4,
4,
4,
3,
4,
4,
4,
5,
4,
4,
2,
2,
4,
4,
4,
4,
2,
4,
2,
2,
4,
3,
4,
4,
6,
4,
4,
4,
4,
4,
5,
5,
4,
4,
2,
4,
4,
3,
3,
3,
4,
3,
3,
2,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
3,
4,
3,
3,
4,
4,
8,
3,
4,
4,
6,
2,
4,
1,
2,
2,
4,
3,
2,
2,
2,
4,
4,
2,
3,
4,
2,
4,
3,
2,
2,
5,
2,
2,
3,
2,
5,
2,
2,
2,
3,
5,
2,
3,
4,
4,
2,
3,
3,
3,
3,
4,
4,
2,
4,
2,
2,
2,
4,
2,
3,
3,
4,
5,
4,
4,
2,
4,
4,
2,
2,
2,
2,
4,
5,
5,
3,
3,
3,
2,
3,
3,
2,
4,
3,
4,
3,
3,
3,
4,
2,
6,
4,
5,
6,
6,
2,
2,
4,
2,
2,
4,
6,
2,
4,
3,
3,
3,
3,
2,
3,
2,
2,
2,
4,
2,
2,
7,
5,
5,
3,
4,
4,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
5,
4,
5,
3,
5,
2,
2,
2,
2,
2,
3,
3,
2,
4,
2,
2,
1,
8,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
4,
2,
5,
2,
2,
4,
3,
8,
3,
4,
8,
8,
4,
3,
3,
2,
4,
5,
4,
4,
3,
4,
4,
2,
4,
3,
4,
4,
4,
4,
3,
3,
3,
1,
3,
4,
2,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
5,
3,
2,
4,
4,
4,
3,
4,
2,
4,
3,
3,
4,
2,
4,
3,
3,
2,
4,
2,
4,
4,
4,
3,
3,
3,
3,
4,
3,
3,
3,
4,
4,
2,
2,
2,
4,
3,
4,
2,
4,
2,
2,
4,
4,
4,
2,
5,
6,
5,
5,
4,
2,
4,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
3,
2,
4,
2,
4,
4,
4,
4,
4,
5,
2,
5,
6,
5,
5,
3,
2,
3,
3,
6,
3,
2,
3,
3,
3,
3,
4,
4,
3,
4,
3,
5,
2,
2,
3,
3,
6,
2,
2,
5,
5,
5,
4,
3,
12,
5,
7,
4,
3,
2,
4,
4,
2,
4,
2,
2,
2,
4,
4,
5,
3,
3,
3,
4,
5,
3,
4,
3,
3,
2,
2,
4,
3,
3,
5,
2,
3,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
6,
5,
4,
5,
5,
4,
3,
2,
3,
4,
4,
7,
5,
2,
3,
2,
2,
4,
3,
4,
4,
4,
4,
3,
5,
3,
2,
4,
4,
2,
3,
2,
2,
2,
6,
3,
6,
4,
4,
4,
4,
5,
6,
3,
4,
1,
2,
2,
2,
2,
4,
3,
4,
4,
2,
2,
3,
5,
2,
3,
2,
2,
3,
2,
2,
2,
2,
5,
3,
4,
4,
3,
1,
4,
2,
2,
4,
1,
7,
3,
3,
5,
3,
2,
2,
3,
2,
8,
3,
3,
2,
2,
5,
2,
3,
5,
5,
3,
3,
7,
2,
2,
5,
4,
2,
4,
5,
4,
2,
4,
3,
4,
5,
4,
2,
1,
2,
2,
3,
2,
4,
3,
3,
2,
2,
4,
2,
4,
2,
4,
4,
4,
1,
2,
2,
2,
2,
3,
5,
3,
4,
3,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
5,
5,
4,
4,
5,
5,
2,
2,
3,
2,
4,
2,
1,
5,
4,
6,
4,
4,
4,
4,
3,
4,
2,
4,
4,
4,
3,
2,
4,
3,
3,
3,
3,
5,
3,
2,
3,
2,
3,
3,
4,
3,
2,
4,
3,
3,
1,
4,
3,
3,
5,
3,
2,
3,
2,
3,
2,
1,
4,
4,
4,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
2,
4,
4,
3,
2,
5,
3,
1,
3,
2,
2,
3,
3,
4,
4,
3,
2,
2,
3,
2,
3,
2,
2,
2,
2,
3,
3,
4,
4,
4,
2,
6,
3,
6,
5,
3,
4,
3,
3,
3,
6,
2,
2,
3,
6,
4,
2,
4,
4,
6,
5,
4,
2,
3,
3,
3,
3,
2,
2,
3,
4,
2,
4,
3,
4,
4,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
3,
3,
3,
3,
2,
3,
2,
2,
4,
4,
4,
6,
2,
2,
2,
2,
2,
4,
3,
4,
4,
2,
3,
2,
2,
2,
2,
2,
3,
5,
5,
2,
4,
2,
5,
4,
4,
4,
4,
2,
4,
4,
2,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
3,
2,
2,
2,
3,
4,
4,
4,
3,
3,
1,
2,
4,
2,
4,
3,
3,
3,
4,
2,
4,
3,
4,
7,
3,
2,
3,
6,
2,
4,
3,
2,
4,
3,
3,
3,
3,
3,
1,
1,
2,
3,
7,
3,
8,
6,
3,
4,
3,
6,
3,
5,
6,
5,
3,
4,
4,
4,
3,
2,
2,
2,
4,
2,
4,
1,
1,
1,
2,
3,
2,
2,
3,
2,
2,
4,
2,
4,
3,
3,
4,
4,
4,
5,
4,
4,
3,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
3,
3,
4,
2,
2,
4,
3,
2,
4,
4,
6,
4,
3,
3,
3,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
7,
2,
2,
4,
2,
4,
2,
2,
2,
4,
2,
2,
5,
5,
4,
4,
3,
4,
5,
4,
3,
3,
4,
5,
6,
3,
5,
6,
2,
2,
2,
1,
4,
4,
3,
4,
3,
3,
3,
5,
5,
4,
3,
2,
3,
2,
3,
3,
3,
2,
4,
3,
4,
2,
2,
2,
2,
2,
5,
4,
4,
3,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
5,
2,
4,
2,
2,
2,
2,
3,
1,
2,
4,
4,
4,
4,
4,
3,
2,
2,
3,
3,
2,
2,
2,
2,
4,
2,
2,
3,
3,
4,
2,
4,
4,
3,
4,
3,
7,
2,
2,
2,
3,
3,
2,
2,
2,
4,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
5,
4,
2,
2,
2,
3,
4,
3,
2,
2,
4,
3,
5,
3,
2,
6,
2,
4,
4,
4,
2,
3,
5,
2,
3,
3,
2,
2,
4,
2,
4,
4,
3,
6,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
6,
4,
4,
4,
4,
4,
3,
3,
4,
2,
2,
2,
2,
3,
2,
2,
4,
3,
3,
3,
2,
2,
3,
3,
4,
4,
4,
3,
2,
3,
3,
3,
2,
3,
3,
4,
5,
5,
5,
4,
5,
2,
4,
4,
4,
4,
2,
3,
4,
6,
3,
5,
6,
4,
3,
3,
2,
4,
4,
3,
3,
2,
3,
3,
2,
3,
2,
2,
4,
4,
4,
4,
3,
2,
3,
3,
2,
2,
2,
4,
2,
2,
3,
4,
2,
3,
3,
2,
2,
4,
3,
3,
3,
3,
3,
2,
2,
4,
2,
3,
3,
2,
3,
4,
2,
3,
2,
3,
4,
5,
4,
2,
4,
2,
2,
4,
4,
3,
4,
2,
5,
2,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
5,
2,
2,
3,
3,
1,
2,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
7,
4,
3,
3,
3,
3,
3,
3,
7,
2,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
6,
4,
4,
4,
5,
4,
2,
4,
2,
4,
4,
4,
4,
5,
3,
4,
4,
2,
3,
2,
3,
2,
3,
3,
4,
3,
5,
3,
4,
2,
2,
2,
4,
2,
3,
5,
2,
3,
3,
3,
2,
4,
3,
1,
4,
4,
3,
2,
4,
4,
4,
5,
2,
2,
3,
2,
2,
3,
3,
4,
4,
3,
2,
3,
3,
4,
2,
2,
3,
4,
4,
3,
2,
3,
4,
4,
3,
4,
3,
3,
3,
4,
3,
3,
3,
3,
2,
2,
2,
2,
4,
5,
3,
2,
2,
3,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
3,
3,
5,
4,
3,
5,
2,
4,
3,
7,
4,
2,
4,
4,
4,
3,
2,
3,
3,
3,
4,
2,
1,
6,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
2,
2,
2,
4,
4,
2,
4,
2,
3,
4,
3,
4,
2,
5,
6,
2,
4,
4,
4,
5,
4,
3,
3,
5,
4,
3,
2,
3,
3,
1,
2,
4,
3,
4,
3,
2,
2,
1,
3,
2,
7,
3,
3,
5,
3,
2,
5,
3,
4,
3,
4,
5,
2,
5,
5,
2,
2,
2,
3,
4,
4,
3,
3,
5,
6,
3,
3,
2,
3,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
3,
2,
5,
2,
1,
3,
3,
3,
2,
2,
2,
3,
4,
4,
4,
6,
2,
2,
4,
2,
3,
4,
7,
4,
6,
3,
3,
2,
2,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
3,
3,
2,
2,
3,
4,
8,
2,
2,
2,
3,
4,
4,
3,
7,
6,
2,
3,
2,
4,
2,
4,
7,
4,
4,
4,
4,
7,
4,
5,
4,
2,
4,
4,
4,
3,
2,
2,
2,
4,
4,
2,
3,
4,
4,
2,
4,
2,
7,
4,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
5,
4,
2,
2,
5,
3,
4,
4,
4,
3,
3,
3,
3,
3,
4,
2,
2,
4,
4,
2,
3,
3,
4,
3,
5,
3,
3,
3,
6,
1,
4,
4,
2,
3,
4,
4,
4,
4,
2,
2,
3,
1,
2,
4,
4,
5,
4,
8,
4,
4,
3,
2,
2,
2,
5,
2,
4,
0,
2,
3,
3,
4,
3,
2,
2,
2,
2,
4,
5,
3,
3,
3,
2,
2,
2,
3,
4,
4,
2,
4,
6,
4,
4,
3,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
3,
3,
4,
3,
3,
3,
2,
2,
2,
2,
3,
3,
4,
2,
2,
3,
5,
4,
2,
2,
2,
3,
4,
3,
2,
3,
7,
6,
7,
2,
3,
3,
3,
4,
2,
4,
3,
2,
3,
4,
4,
2,
2,
2,
3,
5,
2,
2,
2,
2,
5,
4,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
6,
2,
1,
3,
3,
2,
5,
5,
2,
3,
4,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
4,
4,
2,
4,
4,
5,
5,
2,
3,
3,
3,
4,
4,
4,
4,
5,
5,
5,
4,
3,
2,
4,
4,
7,
5,
6,
2,
2,
2,
3,
2,
4,
2,
2,
2,
2,
3,
3,
1,
3,
3,
4,
4,
4,
3,
3,
3,
3,
4,
5,
5,
4,
4,
2,
4,
4,
2,
2,
6,
3,
3,
3,
3,
3,
4,
3,
2,
6,
4,
4,
2,
3,
3,
3,
3,
3,
4,
3,
4,
2,
2,
6,
6,
6,
6,
4,
5,
6,
4,
3,
3,
5,
4,
4,
2,
2,
2,
4,
2,
3,
4,
3,
5,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
3,
2,
4,
3,
2,
2,
3,
2,
2,
3,
2,
2,
4,
3,
2,
4,
3,
3,
2,
2,
3,
1,
2,
6,
3,
2,
2,
2,
2,
4,
7,
2,
5,
3,
5,
2,
3,
2,
3,
2,
4,
4,
6,
2,
4,
4,
3,
4,
3,
2,
4,
4,
4,
2,
4,
2,
2,
5,
4,
3,
2,
4,
3,
4,
2,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
3,
1,
2,
2,
3,
2,
2,
4,
7,
4,
2,
6,
3,
4,
3,
2,
4,
2,
3,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
5,
2,
2,
3,
3,
2,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
5,
6,
3,
3,
3,
3,
4,
4,
5,
4,
2,
3,
3,
4,
4,
5,
5,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
2,
4,
2,
3,
4,
8,
4,
4,
3,
2,
3,
1,
1,
1,
3,
2,
4,
2,
2,
3,
2,
4,
1,
2,
1,
1,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
5,
2,
5,
4,
2,
2,
4,
4,
4,
2,
2,
4,
3,
4,
4,
4,
2,
2,
2,
3,
2,
10,
3,
4,
2,
5,
5,
2,
2,
3,
3,
4,
2,
5,
3,
1,
2,
3,
2,
4,
4,
5,
3,
2,
4,
4,
4,
3,
2,
5,
6,
4,
4,
4,
4,
2,
2,
7,
4,
4,
2,
5,
3,
3,
2,
5,
3,
4,
4,
4,
4,
2,
3,
4,
4,
2,
4,
4,
3,
3,
3,
3,
4,
4,
3,
2,
3,
3,
2,
3,
4,
4,
3,
4,
4,
3,
2,
2,
4,
4,
3,
3,
5,
4,
4,
2,
5,
2,
4,
4,
6,
8,
6,
4,
4,
8,
4,
2,
4,
3,
4,
2,
2,
2,
3,
2,
3,
3,
4,
3,
2,
5,
3,
3,
3,
4,
4,
4,
3,
2,
2,
2,
2,
3,
3,
5,
3,
4,
3,
3,
3,
8,
7,
7,
5,
6,
2,
4,
4,
6,
4,
3,
2,
4,
4,
2,
3,
4,
4,
4,
4,
4,
4,
4,
7,
4,
3,
3,
4,
3,
4,
4,
2,
3,
4,
5,
4,
4,
2,
2,
4,
2,
3,
2,
2,
4,
3,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
2,
5,
4,
4,
3,
3,
4,
3,
4,
3,
7,
3,
2,
2,
3,
3,
3,
3,
4,
3,
5,
5,
4,
4,
4,
4,
2,
5,
3,
1,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
5,
4,
4,
4,
3,
4,
3,
2,
4,
3,
3,
3,
2,
3,
2,
2,
2,
3,
4,
4,
2,
2,
2,
5,
3,
7,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
8,
3,
3,
3,
2,
3,
2,
4,
4,
4,
2,
3,
5,
3,
4,
3,
4,
2,
2,
2,
2,
3,
3,
3,
3,
6,
4,
2,
2,
6,
4,
4,
1,
3,
3,
3,
4,
2,
4,
4,
4,
5,
3,
5,
6,
5,
7,
2,
3,
3,
3,
1,
3,
2,
3,
3,
1,
5,
2,
3,
3,
4,
3,
2,
2,
1,
2,
2,
2,
2,
3,
2,
2,
1,
2,
3,
3,
2,
5,
2,
3,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
2,
4,
4,
2,
5,
4,
3,
2,
4,
3,
2,
2,
3,
3,
2,
2,
3,
4,
3,
4,
3,
3,
4,
5,
2,
6,
4,
3,
3,
4,
2,
2,
3,
3,
4,
3,
6,
6,
2,
2,
2,
3,
4,
4,
3,
4,
3,
4,
3,
3,
5,
4,
1,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
3,
3,
3,
3,
2,
4,
2,
5,
3,
2,
4,
2,
3,
2,
3,
4,
4,
4,
4,
4,
2,
3,
3,
4,
3,
3,
7,
2,
3,
5,
2,
1,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
5,
2,
2,
5,
4,
4,
5,
3,
2,
2,
3,
2,
4,
5,
4,
5,
4,
7,
7,
3,
2,
3,
4,
3,
3,
5,
5,
2,
4,
2,
3,
5,
2,
3,
3,
5,
5,
3,
3,
4,
3,
3,
5,
3,
3,
4,
3,
3,
4,
2,
4,
2,
3,
5,
2,
4,
4,
2,
4,
4,
2,
4,
3,
2,
2,
7,
3,
3,
3,
2,
5,
3,
5,
5,
4,
2,
6,
4,
2,
3,
2,
3,
3,
2,
3,
2,
4,
4,
4,
2,
4,
4,
3,
5,
3,
3,
2,
3,
4,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
3,
3,
2,
3,
3,
4,
3,
4,
3,
2,
4,
4,
4,
2,
1,
5,
4,
2,
2,
4,
4,
3,
3,
3,
4,
2,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
4,
3,
4,
4,
3,
2,
2,
7,
5,
4,
3,
4,
4,
4,
4,
4,
2,
4,
2,
2,
3,
4,
2,
3,
3,
2,
4,
2,
2,
4,
3,
4,
4,
4,
3,
3,
4,
1,
4,
4,
3,
4,
4,
3,
5,
3,
3,
3,
4,
2,
4,
4,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
7,
3,
6,
4,
4,
2,
4,
6,
3,
9,
2,
2,
2,
5,
3,
4,
4,
2,
4,
4,
3,
3,
2,
1,
2,
2,
2,
1,
4,
4,
4,
2,
3,
4,
4,
4,
4,
2,
2,
4,
4,
3,
3,
3,
4,
2,
3,
2,
4,
4,
4,
4,
4,
4,
2,
5,
2,
2,
2,
2,
2,
3,
3,
2,
4,
2,
3,
6,
3,
2,
2,
4,
4,
2,
2,
2,
2,
3,
2,
4,
3,
4,
4,
3,
3,
3,
5,
5,
4,
4,
3,
3,
4,
3,
5,
3,
1,
1,
2,
4,
4,
4,
2,
4,
3,
2,
3,
2,
3,
5,
3,
4,
3,
3,
4,
3,
3,
2,
3,
7,
3,
3,
5,
3,
4,
3,
4,
4,
1,
2,
2,
2,
2,
2,
3,
3,
3,
2,
7,
4,
2,
2,
3,
3,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
5,
3,
4,
2,
2,
4,
2,
2,
3,
2,
3,
1,
5,
2,
8,
4,
5,
2,
4,
3,
6,
4,
3,
3,
4,
4,
2,
4,
3,
2,
3,
4,
4,
4,
6,
5,
4,
4,
4,
3,
6,
4,
2,
2,
4,
3,
3,
5,
5,
5,
8,
7,
2,
4,
4,
2,
5,
3,
2,
3,
2,
3,
4,
4,
3,
3,
3,
2,
3,
3,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
5,
3,
3,
5,
5,
5,
6,
4,
4,
4,
5,
4,
5,
3,
2,
3,
3,
4,
4,
3,
5,
3,
3,
3,
2,
1,
4,
4,
3,
7,
3,
4,
3,
4,
5,
2,
2,
2,
2,
2,
2,
4,
2,
3,
4,
8,
5,
3,
2,
4,
2,
4,
2,
2,
2,
2,
3,
3,
2,
4,
3,
5,
3,
4,
4,
3,
2,
2,
4,
3,
3,
5,
3,
4,
4,
4,
2,
2,
2,
3,
2,
2,
3,
2,
2,
6,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
6,
4,
5,
4,
4,
4,
4,
3,
4,
4,
4,
3,
2,
2,
2,
2,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
7,
4,
3,
7,
5,
3,
2,
3,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
5,
4,
4,
4,
1,
2,
3,
6,
4,
4,
4,
4,
5,
4,
3,
3,
4,
2,
2,
2,
2,
4,
3,
3,
3,
5,
5,
4,
2,
2,
4,
2,
3,
4,
5,
3,
2,
5,
4,
3,
3,
2,
2,
3,
2,
2,
4,
1,
4,
4,
4,
4,
3,
2,
2,
3,
4,
2,
4,
2,
4,
2,
2,
4,
2,
2,
5,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
6,
4,
2,
3,
3,
3,
3,
4,
3,
3,
2,
3,
7,
4,
4,
3,
6,
2,
3,
3,
5,
4,
2,
3,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
2,
2,
2,
1,
2,
4,
4,
4,
3,
4,
2,
2,
2,
3,
2,
4,
4,
4,
4,
3,
3,
4,
4,
4,
2,
5,
6,
3,
2,
4,
4,
2,
2,
4,
4,
3,
4,
2,
4,
3,
5,
4,
7,
4,
5,
4,
3,
3,
6,
5,
4,
5,
7,
4,
3,
2,
3,
2,
2,
3,
2,
3,
3,
3,
2,
2,
3,
2,
3,
3,
4,
4,
1,
2,
3,
3,
5,
4,
2,
3,
2,
4,
2,
3,
3,
3,
3,
6,
6,
4,
4,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
2,
3,
6,
2,
5,
5,
4,
4,
4,
2,
4,
2,
2,
3,
2,
2,
5,
3,
4,
4,
4,
6,
4,
3,
3,
4,
4,
2,
2,
3,
3,
3,
2,
3,
3,
4,
5,
2,
3,
3,
2,
2,
2,
3,
4,
6,
5,
2,
2,
2,
3,
4,
4,
8,
3,
2,
2,
4,
4,
4,
4,
3,
2,
3,
2,
4,
2,
4,
4,
4,
2,
3,
2,
4,
3,
2,
3,
3,
3,
2,
3,
2,
2,
5,
4,
3,
3,
3,
3,
3,
6,
5,
2,
2,
3,
2,
4,
3,
3,
3,
4,
4,
4,
3,
5,
5,
3,
3,
3,
3,
4,
2,
2,
2,
2,
1,
6,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
3,
2,
3,
2,
2,
2,
4,
4,
5,
4,
4,
4,
2,
2,
5,
4,
3,
2,
2,
2,
5,
6,
6,
3,
2,
4,
4,
2,
4,
2,
4,
4,
5,
2,
2,
2,
2,
2,
4,
4,
4,
4,
3,
3,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
5,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
2,
2,
4,
3,
3,
3,
4,
4,
4,
5,
4,
3,
4,
4,
4,
2,
5,
2,
6,
1,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
4,
3,
4,
3,
5,
3,
6,
4,
4,
2,
3,
3,
2,
3,
2,
2,
3,
3,
2,
3,
2,
2,
5,
4,
2,
2,
7,
4,
4,
4,
5,
3,
4,
4,
4,
4,
6,
2,
7,
5,
2,
2,
3,
4,
3,
5,
4,
2,
3,
5,
2,
1,
2,
3,
4,
2,
2,
3,
5,
2,
3,
3,
3,
3,
2,
2,
1,
2,
3,
3,
4,
4,
2,
2,
6,
5,
3,
2,
2,
2,
2,
5,
3,
3,
2,
3,
3,
5,
4,
4,
2,
2,
2,
4,
4,
3,
2,
4,
5,
5,
6,
7,
3,
3,
4,
2,
4,
2,
2,
2,
2,
4,
4,
2,
4,
5,
2,
2,
2,
2,
3,
2,
4,
1,
3,
3,
2,
4,
4,
2,
4,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
7,
4,
4,
2,
4,
3,
3,
4,
4,
4,
6,
2,
4,
3,
2,
4,
4,
4,
6,
5,
6,
4,
4,
4,
4,
7,
2,
2,
2,
2,
4,
4,
2,
2,
2,
4,
3,
5,
2,
2,
2,
3,
2,
5,
3,
3,
3,
2,
3,
1,
4,
2,
2,
4,
2,
2,
3,
2,
2,
1,
2,
2,
6,
6,
3,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
5,
6,
4,
5,
4,
3,
3,
3,
3,
3,
3,
5,
5,
5,
2,
2,
2,
2,
2,
2,
3,
2,
2,
5,
3,
3,
3,
3,
3,
4,
6,
6,
2,
4,
4,
3,
5,
4,
4,
3,
3,
2,
4,
5,
4,
5,
3,
2,
3,
2,
4,
3,
3,
2,
3,
4,
4,
3,
4,
3,
3,
2,
4,
3,
1,
1,
5,
5,
2,
3,
2,
2,
2,
2,
2,
2,
4,
5,
3,
2,
3,
3,
2,
3,
3,
2,
4,
3,
4,
3,
2,
2,
2,
2,
3,
4,
4,
4,
4,
3,
4,
3,
3,
2,
3,
3,
3,
3,
3,
2,
6,
5,
6,
7,
5,
2,
4,
4,
2,
4,
4,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
5,
3,
2,
3,
3,
2,
4,
1,
3,
4,
4,
4,
2,
6,
3,
5,
5,
2,
1,
4,
3,
2,
2,
2,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
1,
3,
5,
4,
4,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
4,
5,
2,
2,
3,
3,
2,
3,
3,
4,
2,
2,
2,
3,
2,
4,
2,
2,
5,
2,
2,
6,
2,
2,
2,
4,
4,
2,
4,
2,
2,
4,
2,
4,
2,
2,
2,
4,
4,
4,
3,
1,
3,
3,
4,
2,
4,
2,
2,
4,
2,
2,
4,
2,
1,
2,
3,
3,
3,
1,
3,
2,
3,
3,
3,
3,
6,
5,
5,
4,
3,
8,
4,
6,
3,
3,
5,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
4,
3,
4,
4,
4,
5,
6,
5,
3,
3,
2,
2,
4,
5,
4,
4,
4,
2,
3,
4,
3,
4,
5,
2,
4,
2,
2,
3,
3,
2,
4,
1,
2,
4,
3,
5,
4,
3,
3,
8,
3,
2,
2,
6,
4,
4,
6,
4,
3,
3,
2,
4,
2,
4,
4,
4,
8,
2,
4,
1,
4,
2,
4,
2,
2,
4,
4,
3,
2,
2,
2,
2,
5,
2,
2,
3,
3,
2,
2,
4,
3,
4,
4,
2,
5,
3,
2,
3,
3,
2,
2,
3,
2,
2,
2,
3,
3,
2,
4,
2,
5,
2,
4,
5,
5,
5,
5,
3,
3,
4,
2,
2,
3,
3,
2,
2,
3,
3,
4,
3,
2,
4,
4,
4,
2,
2,
3,
2,
8,
4,
2,
2,
3,
3,
3,
2,
2,
2,
5,
3,
3,
3,
2,
2,
4,
3,
3,
1,
1,
3,
3,
3,
4,
4,
4,
4,
3,
3,
3,
2,
3,
4,
5,
4,
4,
5,
4,
2,
2,
3,
3,
2,
3,
3,
3,
4,
3,
4,
4,
4,
5,
3,
2,
3,
3,
2,
2,
4,
4,
2,
2,
2,
3,
4,
3,
2,
4,
3,
4,
4,
3,
2,
4,
6,
3,
2,
4,
3,
4,
4,
2,
2,
2,
2,
2,
3,
2,
5,
4,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
3,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
3,
4,
4,
2,
2,
2,
2,
6,
5,
2,
5,
5,
3,
4,
3,
3,
2,
4,
3,
3,
5,
3,
3,
2,
3,
3,
2,
3,
4,
4,
3,
4,
2,
3,
2,
1,
2,
3,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
5,
3,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
2,
5,
3,
2,
2,
4,
1,
2,
4,
4,
5,
3,
3,
3,
2,
6,
6,
2,
4,
5,
5,
4,
4,
4,
4,
4,
2,
3,
2,
3,
3,
3,
3,
4,
1,
4,
4,
4,
3,
2,
4,
4,
4,
2,
2,
3,
3,
2,
2,
5,
2,
4,
4,
4,
2,
4,
3,
2,
4,
3,
2,
5,
4,
3,
3,
3,
3,
3,
5,
4,
3,
3,
5,
5,
5,
6,
4,
7,
4,
2,
2,
3,
2,
3,
2,
2,
1,
2,
3,
1,
2,
3,
4,
3,
4,
3,
4,
1,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
4,
3,
4,
4,
2,
2,
4,
3,
2,
6,
4,
4,
4,
3,
3,
3,
4,
4,
2,
4,
4,
2,
4,
4,
4,
4,
3,
4,
2,
5,
1,
2,
3,
4,
4,
4,
2,
2,
2,
3,
4,
3,
2,
2,
2,
6,
3,
4,
4,
4,
4,
2,
4,
2,
3,
3,
3,
4,
2,
3,
3,
2,
4,
5,
7,
2,
3,
2,
2,
4,
4,
6,
2,
6,
3,
2,
2,
3,
4,
3,
3,
4,
3,
6,
5,
8,
5,
4,
4,
4,
3,
3,
3,
3,
5,
4,
2,
2,
2,
2,
2,
3,
4,
5,
4,
4,
2,
2,
4,
2,
2,
4,
5,
5,
2,
3,
3,
2,
2,
2,
2,
4,
3,
3,
3,
2,
3,
3,
4,
4,
4,
4,
2,
4,
3,
3,
2,
3,
2,
2,
3,
4,
4,
2,
2,
3,
3,
3,
2,
2,
4,
5,
4,
5,
2,
4,
2,
2,
8,
4,
3,
4,
2,
4,
2,
1,
2,
3,
4,
4,
4,
4,
4,
2,
2,
4,
2,
3,
4,
4,
4,
2,
2,
2,
4,
3,
3,
5,
3,
3,
2,
8,
2,
5,
4,
2,
4,
4,
2,
2,
4,
3,
2,
5,
3,
3,
2,
3,
2,
2,
4,
5,
3,
4,
3,
4,
2,
3,
3,
3,
2,
3,
3,
2,
1,
2,
2,
2,
4,
2,
4,
4,
2,
4,
2,
4,
4,
7,
2,
2,
2,
2,
2,
3,
1,
2,
1,
1,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
3,
4,
3,
4,
3,
3,
3,
3,
3,
6,
4,
4,
4,
3,
5,
3,
4,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
3,
3,
4,
3,
4,
4,
4,
4,
2,
2,
2,
4,
3,
2,
5,
4,
4,
2,
2,
2,
2,
2,
3,
2,
4,
2,
4,
3,
3,
6,
6,
5,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
6,
2,
2,
2,
5,
2,
2,
7,
3,
2,
1,
3,
6,
2,
4,
2,
2,
2,
3,
1,
2,
3,
4,
4,
3,
4,
4,
3,
1,
2,
2,
3,
3,
4,
2,
1,
2,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
4,
3,
6,
2,
4,
4,
8,
4,
2,
2,
2,
2,
1,
2,
3,
2,
3,
1,
3,
3,
2,
3,
4,
1,
2,
2,
4,
4,
2,
5,
4,
2,
3,
3,
4,
2,
3,
5,
3,
4,
2,
2,
4,
2,
3,
3,
2,
4,
3,
2,
2,
5,
4,
4,
4,
4,
3,
3,
6,
4,
3,
3,
3,
5,
5,
4,
3,
2,
4,
5,
3,
2,
3,
2,
4,
2,
2,
6,
2,
3,
3,
2,
2,
3,
3,
4,
2,
1,
4,
2,
4,
4,
1,
4,
4,
2,
2,
2,
2,
3,
4,
4,
4,
2,
3,
4,
4,
4,
4,
6,
4,
1,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
2,
2,
3,
4,
2,
1,
4,
2,
3,
2,
2,
2,
4,
3,
2,
4,
3,
2,
8,
4,
4,
5,
2,
4,
2,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
1,
2,
5,
2,
2,
3,
4,
4,
4,
4,
3,
5,
5,
4,
3,
5,
4,
4,
3,
3,
3,
4,
3,
3,
3,
6,
4,
2,
2,
4,
4,
4,
4,
2,
2,
3,
3,
4,
3,
4,
3,
2,
4,
4,
4,
3,
4,
4,
2,
5,
4,
4,
4,
3,
3,
3,
7,
4,
8,
3,
4,
4,
4,
2,
2,
2,
4,
6,
2,
1,
4,
4,
2,
4,
3,
2,
3,
3,
2,
4,
4,
4,
2,
3,
3,
4,
2,
4,
4,
3,
2,
3,
7,
2,
3,
3,
3,
2,
2,
3,
2,
2,
3,
4,
2,
3,
2,
2,
3,
3,
3,
3,
2,
2,
4,
4,
2,
7,
3,
4,
4,
3,
3,
3,
5,
6,
3,
2,
2,
3,
5,
1,
3,
2,
3,
2,
2,
2,
2,
2,
2,
5,
5,
4,
5,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
7,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
3,
2,
5,
5,
5,
7,
5,
5,
2,
2,
4,
4,
4,
4,
3,
3,
2,
2,
3,
2,
4,
4,
4,
4,
2,
5,
3,
7,
4,
2,
2,
3,
3,
3,
2,
2,
4,
3,
2,
6,
5,
1,
2,
4,
2,
4,
2,
4,
2,
3,
3,
4,
4,
4,
2,
2,
2,
4,
2,
4,
2,
4,
2,
2,
1,
2,
1,
2,
5,
3,
3,
4,
2,
4,
3,
4,
3,
2,
4,
2,
4,
4,
2,
2,
6,
3,
3,
2,
2,
3,
4,
2,
4,
4,
2,
1,
2,
2,
2,
4,
1,
1,
1,
2,
2,
4,
4,
4,
4,
4,
4,
3,
2,
3,
2,
4,
2,
4,
2,
2,
1,
3,
4,
7,
5,
2,
2,
2,
2,
3,
3,
4,
4,
3,
6,
3,
3,
4,
4,
3,
2,
4,
3,
2,
3,
3,
4,
4,
3,
2,
4,
4,
2,
4,
4,
2,
4,
3,
1,
5,
5,
5,
3,
4,
4,
3,
2,
3,
4,
3,
5,
2,
4,
4,
3,
2,
4,
2,
4,
3,
2,
1,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
3,
2,
4,
3,
3,
4,
3,
2,
4,
2,
4,
3,
7,
5,
4,
4,
4,
4,
4,
5,
2,
3,
3,
2,
2,
2,
2,
1,
4,
3,
3,
3,
2,
6,
2,
2,
4,
4,
4,
4,
2,
3,
4,
2,
2,
2,
3,
3,
4,
4,
4,
5,
3,
3,
3,
6,
6,
2,
2,
2,
3,
4,
3,
3,
2,
3,
3,
3,
3,
4,
4,
5,
4,
4,
2,
2,
2,
2,
7,
3,
4,
2,
3,
4,
4,
4,
4,
4,
2,
4,
3,
2,
3,
5,
2,
2,
2,
2,
1,
3,
3,
2,
2,
2,
2,
2,
5,
1,
2,
4,
4,
4,
2,
4,
2,
2,
3,
2,
2,
4,
4,
3,
3,
3,
5,
5,
4,
4,
4,
2,
4,
4,
4,
6,
4,
8,
2,
4,
2,
4,
4,
3,
3,
3,
4,
4,
4,
2,
2,
3,
4,
4,
2,
2,
4,
3,
5,
2,
2,
4,
2,
3,
7,
4,
2,
3,
4,
4,
2,
1,
4,
5,
4,
6,
4,
4,
4,
2,
2,
2,
4,
4,
2,
4,
4,
4,
3,
3,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
3,
3,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
4,
3,
4,
4,
3,
3,
2,
2,
4,
2,
3,
3,
2,
4,
2,
2,
2,
3,
3,
2,
4,
2,
2,
3,
4,
5,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
2,
3,
4,
3,
4,
3,
6,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
1,
3,
3,
2,
2,
2,
2,
3,
2,
5,
2,
5,
3,
3,
4,
2,
2,
3,
4,
4,
4,
4,
5,
2,
3,
3,
3,
1,
3,
4,
3,
3,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
4,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
4,
4,
2,
3,
3,
5,
6,
2,
3,
4,
4,
3,
3,
3,
4,
3,
3,
2,
4,
3,
2,
2,
2,
2,
3,
7,
2,
5,
4,
4,
4,
4,
4,
4,
3,
4,
2,
5,
2,
2,
4,
4,
2,
4,
3,
5,
3,
4,
3,
2,
4,
2,
2,
2,
3,
4,
3,
2,
4,
4,
2,
4,
2,
2,
3,
2,
2,
3,
3,
2,
3,
7,
8,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
2,
2,
3,
2,
3,
2,
4,
2,
4,
2,
2,
4,
2,
3,
3,
3,
4,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
3,
6,
4,
2,
2,
3,
3,
2,
2,
4,
2,
4,
4,
4,
4,
4,
3,
4,
5,
4,
5,
4,
3,
3,
2,
7,
3,
3,
4,
4,
4,
4,
3,
2,
3,
3,
3,
2,
4,
2,
2,
2,
3,
4,
4,
5,
5,
7,
4,
3,
2,
2,
2,
6,
2,
2,
6,
2,
2,
2,
3,
3,
3,
3,
4,
5,
5,
5,
5,
2,
1,
2,
3,
3,
2,
2,
3,
3,
3,
2,
3,
4,
4,
4,
4,
2,
2,
4,
3,
2,
4,
3,
3,
2,
2,
2,
4,
5,
5,
2,
2,
3,
1,
3,
3,
5,
4,
3,
2,
4,
4,
3,
3,
5,
2,
3,
3,
3,
4,
1,
4,
4,
4,
5,
2,
2,
3,
4,
2,
4,
4,
3,
3,
3,
4,
2,
3,
5,
4,
4,
4,
4,
3,
3,
3,
2,
2,
1,
2,
2,
3,
3,
3,
5,
4,
2,
3,
4,
2,
6,
4,
2,
4,
4,
2,
2,
4,
3,
4,
4,
4,
1,
2,
3,
6,
4,
2,
5,
2,
4,
2,
4,
3,
3,
2,
3,
2,
3,
4,
4,
2,
4,
2,
3,
3,
4,
3,
2,
2,
4,
2,
2,
3,
3,
5,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
7,
3,
3,
2,
3,
3,
4,
4,
6,
4,
2,
5,
2,
2,
6,
3,
3,
3,
2,
5,
4,
4,
2,
4,
2,
4,
4,
3,
3,
5,
4,
3,
2,
5,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
4,
4,
2,
4,
3,
4,
4,
3,
5,
4,
2,
4,
3,
4,
2,
4,
2,
2,
2,
2,
1,
1,
2,
3,
2,
2,
3,
4,
3,
2,
3,
2,
4,
2,
2,
4,
2,
2,
2,
3,
3,
2,
1,
3,
3,
3,
4,
3,
3,
5,
3,
3,
2,
3,
3,
3,
3,
3,
4,
3,
3,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
4,
3,
3,
2,
2,
4,
4,
6,
4,
2,
3,
2,
3,
3,
4,
4,
4,
4,
2,
1,
2,
4,
2,
5,
2,
4,
4,
3,
3,
3,
4,
2,
2,
2,
3,
3,
3,
3,
4,
2,
3,
4,
3,
3,
2,
4,
2,
2,
7,
5,
5,
2,
1,
3,
3,
3,
2,
3,
4,
4,
4,
4,
3,
2,
2,
3,
5,
5,
3,
7,
7,
3,
2,
5,
2,
3,
2,
3,
6,
3,
3,
2,
4,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
2,
2,
3,
3,
2,
3,
5,
2,
2,
3,
3,
2,
6,
3,
2,
2,
2,
5,
7,
3,
2,
3,
3,
3,
3,
4,
5,
2,
4,
2,
5,
2,
4,
2,
5,
2,
3,
4,
2,
4,
3,
3,
3,
3,
2,
4,
2,
2,
3,
4,
4,
3,
4,
4,
4,
3,
1,
3,
2,
4,
4,
4,
2,
2,
3,
6,
5,
5,
2,
3,
4,
5,
5,
5,
2,
2,
2,
7,
4,
5,
3,
3,
2,
4,
3,
1,
2,
2,
3,
2,
2,
2,
5,
2,
5,
4,
4,
5,
4,
3,
2,
4,
4,
4,
5,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
5,
5,
3,
4,
5,
4,
2,
6,
2,
4,
3,
4,
4,
3,
3,
4,
2,
2,
2,
5,
3,
4,
3,
2,
2,
2,
4,
2,
2,
2,
2,
5,
3,
2,
4,
4,
3,
3,
3,
3,
2,
2,
3,
4,
3,
2,
2,
2,
2,
2,
4,
2,
1,
4,
4,
2,
2,
3,
3,
5,
3,
6,
3,
3,
2,
2,
4,
2,
3,
3,
7,
3,
3,
4,
5,
4,
3,
2,
3,
4,
5,
5,
3,
2,
2,
2,
3,
4,
3,
3,
3,
4,
2,
2,
3,
3,
3,
4,
4,
3,
3,
5,
4,
1,
3,
6,
2,
3,
4,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
5,
3,
3,
4,
4,
4,
2,
2,
3,
3,
3,
3,
4,
4,
2,
2,
3,
2,
3,
3,
5,
3,
3,
3,
2,
4,
2,
2,
4,
5,
2,
2,
2,
4,
4,
6,
2,
3,
2,
2,
2,
3,
3,
2,
4,
2,
3,
3,
3,
3,
4,
3,
6,
5,
2,
5,
2,
2,
2,
3,
2,
4,
3,
3,
3,
4,
3,
3,
3,
2,
2,
4,
4,
3,
7,
3,
3,
2,
3,
2,
3,
3,
5,
5,
5,
5,
2,
7,
4,
4,
2,
2,
4,
2,
2,
3,
3,
2,
2,
4,
3,
2,
2,
4,
4,
4,
2,
3,
3,
4,
2,
2,
2,
3,
3,
2,
3,
4,
3,
3,
3,
3,
6,
5,
4,
4,
4,
2,
3,
2,
4,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
4,
2,
4,
6,
3,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
2,
2,
2,
4,
3,
4,
5,
5,
4,
2,
3,
3,
2,
3,
4,
3,
3,
3,
3,
1,
1,
2,
2,
2,
4,
2,
3,
6,
3,
4,
3,
4,
3,
4,
4,
4,
2,
2,
2,
5,
4,
3,
2,
3,
4,
3,
3,
2,
4,
4,
2,
4,
3,
6,
6,
2,
2,
5,
4,
3,
3,
3,
3,
6,
5,
5,
5,
4,
3,
3,
8,
3,
3,
6,
2,
4,
4,
6,
7,
4,
8,
1,
1,
2,
2,
4,
4,
6,
4,
2,
4,
2,
2,
2,
2,
4,
4,
2,
2,
4,
3,
3,
1,
2,
2,
2,
2,
4,
3,
4,
3,
3,
5,
3,
3,
3,
4,
7,
3,
2,
5,
2,
4,
4,
3,
2,
2,
4,
3,
2,
5,
2,
4,
3,
2,
2,
2,
2,
4,
3,
3,
4,
7,
2,
4,
3,
2,
2,
2,
2,
3,
3,
1,
5,
5,
2,
4,
4,
5,
2,
3,
3,
3,
6,
2,
6,
7,
3,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
5,
5,
2,
3,
4,
4,
3,
2,
3,
4,
7,
3,
4,
6,
3,
2,
4,
4,
3,
4,
2,
2,
4,
4,
5,
5,
3,
9,
3,
2,
2,
2,
4,
3,
3,
2,
3,
2,
2,
4,
2,
3,
4,
4,
2,
2,
4,
4,
4,
2,
2,
2,
4,
2,
3,
3,
4,
4,
2,
2,
2,
3,
2,
3,
4,
2,
3,
3,
5,
5,
1,
4,
4,
2,
2,
2,
4,
3,
5,
4,
4,
4,
4,
3,
5,
3,
4,
2,
4,
3,
4,
4,
2,
3,
4,
3,
2,
2,
4,
4,
2,
4,
3,
3,
3,
5,
4,
6,
5,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
7,
2,
2,
4,
2,
2,
3,
2,
4,
5,
2,
4,
5,
2,
3,
2,
2,
2,
2,
3,
2,
2,
3,
5,
5,
3,
5,
3,
2,
3,
3,
5,
4,
3,
4,
4,
2,
7,
2,
3,
2,
3,
2,
3,
3,
3,
3,
2,
4,
4,
3,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
2,
2,
3,
3,
4,
4,
3,
4,
6,
4,
5,
4,
5,
4,
4,
2,
4,
3,
6,
2,
6,
6,
4,
4,
3,
4,
4,
3,
2,
3,
3,
5,
5,
4,
4,
4,
4,
4,
4,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
5,
4,
3,
3,
2,
2,
4,
2,
2,
3,
3,
2,
3,
1,
4,
6,
3,
6,
4,
7,
6,
4,
3,
3,
4,
4,
3,
3,
3,
2,
4,
4,
4,
5,
3,
2,
3,
3,
3,
3,
4,
2,
2,
3,
3,
2,
4,
4,
4,
2,
2,
4,
4,
4,
3,
2,
2,
3,
1,
4,
3,
4,
5,
6,
3,
3,
4,
3,
2,
3,
4,
3,
3,
4,
5,
4,
3,
4,
3,
6,
2,
6,
4,
2,
2,
4,
3,
4,
4,
2,
2,
6,
6,
5,
3,
4,
7,
4,
4,
3,
4,
4,
4,
2,
2,
5,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
5,
2,
2,
4,
3,
3,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
4,
3,
3,
2,
3,
2,
2,
4,
2,
2,
4,
3,
6,
5,
5,
5,
3,
3,
2,
3,
3,
3,
4,
2,
4,
3,
4,
3,
3,
4,
3,
4,
3,
4,
3,
4,
4,
4,
4,
2,
4,
2,
2,
3,
2,
3,
2,
4,
3,
3,
4,
3,
3,
4,
4,
1,
3,
3,
2,
2,
3,
6,
3,
3,
4,
2,
4,
4,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
3,
2,
2,
2,
2,
3,
5,
4,
2,
4,
4,
4,
3,
2,
3,
3,
3,
3,
1,
2,
2,
4,
4,
7,
4,
4,
4,
3,
2,
3,
2,
4,
2,
3,
2,
2,
3,
4,
2,
2,
2,
2,
5,
6,
4,
4,
4,
3,
3,
2,
2,
4,
4,
5,
4,
3,
3,
3,
3,
5,
3,
3,
4,
8,
6,
2,
4,
5,
3,
4,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
4,
2,
2,
2,
3,
3,
3,
2,
5,
3,
2,
4,
4,
4,
4,
3,
3,
6,
2,
2,
2,
2,
4,
4,
2,
2,
4,
3,
4,
4,
4,
2,
2,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
5,
5,
3,
4,
3,
2,
2,
2,
2,
3,
5,
4,
4,
4,
2,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
6,
3,
5,
3,
2,
4,
3,
2,
2,
2,
2,
2,
1,
2,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
2,
2,
1,
3,
2,
2,
2,
6,
4,
2,
4,
2,
2,
3,
4,
2,
4,
5,
5,
2,
2,
2,
3,
3,
3,
2,
3,
4,
2,
4,
2,
4,
3,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
3,
1,
3,
4,
6,
4,
5,
5,
5,
5,
5,
2,
2,
4,
2,
3,
4,
4,
4,
4,
2,
4,
3,
2,
5,
2,
4,
4,
4,
4,
5,
4,
5,
2,
4,
4,
3,
4,
1,
3,
8,
3,
6,
4,
4,
6,
1,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
6,
4,
5,
4,
2,
2,
2,
3,
4,
4,
5,
5,
5,
2,
6,
2,
3,
4,
2,
3,
2,
2,
4,
2,
4,
5,
4,
2,
2,
5,
4,
4,
3,
4,
2,
10,
6,
3,
3,
3,
2,
3,
2,
4,
3,
5,
2,
2,
6,
8,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
4,
2,
2,
4,
5,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
5,
2,
4,
4,
5,
4,
2,
2,
2,
4,
3,
3,
3,
5,
3,
3,
3,
6,
7,
7,
4,
4,
3,
3,
2,
4,
2,
3,
4,
3,
3,
3,
3,
5,
5,
2,
4,
4,
4,
2,
4,
4,
4,
4,
3,
3,
3,
3,
2,
5,
3,
4,
4,
6,
4,
3,
2,
2,
5,
3,
2,
2,
2,
3,
3,
3,
5,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
8,
7,
3,
8,
3,
6,
2,
3,
4,
3,
4,
3,
3,
3,
4,
4,
4,
4,
4,
2,
5,
4,
2,
2,
2,
2,
3,
2,
2,
2,
1,
2,
2,
2,
2,
2,
2,
2,
4,
6,
8,
4,
2,
4,
2,
3,
4,
2,
4,
2,
2,
4,
2,
2,
6,
5,
3,
4,
5,
4,
2,
2,
3,
2,
4,
4,
3,
2,
2,
2,
4,
2,
2,
2,
2,
7,
4,
3,
5,
5,
5,
5,
5,
5,
3,
5,
5,
2,
3,
3,
4,
3,
6,
6,
4,
3,
2,
2,
1,
3,
4,
4,
4,
2,
4,
6,
2,
2,
2,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
6,
4,
1,
1,
4,
3,
3,
3,
3,
2,
3,
3,
5,
4,
3,
3,
3,
5,
2,
3,
4,
3,
3,
3,
2,
3,
2,
3,
2,
1,
1,
4,
1,
2,
3,
4,
2,
3,
3,
5,
2,
4,
3,
5,
2,
3,
4,
2,
2,
5,
3,
2,
2,
3,
7,
7,
4,
4,
3,
4,
2,
4,
2,
2,
2,
2,
3,
6,
6,
3,
2,
4,
2,
4,
4,
4,
4,
3,
2,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
3,
4,
2,
5,
3,
3,
6,
4,
5,
2,
6,
6,
7,
7,
4,
3,
5,
5,
4,
6,
5,
3,
3,
3,
3,
3,
3,
4,
5,
5,
5,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
5,
4,
3,
3,
2,
3,
4,
2,
2,
4,
3,
2,
3,
3,
6,
4,
4,
2,
4,
3,
2,
2,
3,
6,
4,
5,
2,
3,
4,
2,
4,
4,
2,
2,
5,
2,
4,
2,
2,
3,
3,
3,
5,
2,
4,
4,
3,
3,
2,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
2,
2,
5,
4,
3,
2,
2,
2,
2,
2,
3,
3,
1,
1,
3,
3,
3,
4,
2,
4,
4,
4,
2,
2,
3,
2,
2,
5,
3,
4,
4,
4,
4,
3,
6,
6,
6,
2,
3,
2,
4,
4,
4,
6,
6,
4,
2,
3,
6,
4,
1,
5,
5,
4,
3,
3,
3,
2,
4,
5,
5,
4,
3,
5,
3,
2,
4,
4,
2,
2,
3,
4,
4,
4,
3,
4,
3,
4,
4,
4,
3,
3,
3,
3,
8,
7,
5,
2,
3,
4,
4,
4,
3,
3,
3,
2,
2,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
4,
8,
4,
4,
4,
4,
4,
4,
5,
4,
4,
2,
1,
2,
2,
2,
4,
4,
4,
2,
3,
4,
4,
5,
3,
3,
3,
4,
2,
2,
1,
2,
2,
4,
3,
4,
2,
3,
4,
4,
3,
3,
3,
4,
2,
3,
3,
3,
2,
2,
2,
2,
3,
3,
2,
3,
4,
3,
3,
1,
1,
1,
2,
2,
2,
2,
2,
2,
2,
4,
5,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
1,
2,
3,
3,
2,
3,
3,
4,
3,
3,
3,
3,
2,
4,
4,
4,
4,
3,
2,
3,
4,
3,
3,
3,
4,
4,
4,
4,
2,
3,
2,
4,
5,
3,
4,
4,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
5,
2,
4,
5,
3,
3,
4,
2,
3,
2,
2,
4,
6,
6,
2,
3,
3,
3,
4,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
4,
2,
4,
2,
2,
3,
4,
5,
3,
2,
2,
4,
4,
5,
4,
2,
10,
4,
4,
4,
2,
3,
6,
2,
2,
4,
3,
3,
2,
6,
4,
6,
3,
3,
4,
4,
4,
2,
3,
4,
5,
4,
4,
3,
4,
4,
4,
4,
2,
4,
2,
4,
4,
4,
2,
2,
6,
3,
4,
4,
1,
3,
2,
2,
6,
2,
2,
4,
2,
2,
4,
4,
4,
2,
3,
2,
3,
3,
4,
4,
4,
3,
4,
4,
4,
3,
3,
4,
3,
2,
2,
2,
3,
5,
3,
2,
2,
2,
2,
2,
6,
6,
4,
4,
2,
2,
2,
2,
2,
2,
2,
8,
3,
3,
2,
4,
5,
2,
2,
4,
4,
4,
7,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
4,
2,
2,
2,
5,
2,
4,
4,
2,
2,
3,
4,
2,
4,
2,
4,
5,
2,
3,
4,
1,
3,
3,
4,
3,
2,
5,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
6,
6,
5,
3,
3,
2,
2,
4,
2,
3,
3,
4,
3,
3,
3,
2,
3,
4,
4,
4,
2,
4,
4,
5,
5,
4,
2,
4,
2,
6,
2,
4,
5,
2,
3,
4,
4,
1,
2,
4,
4,
2,
3,
4,
3,
3,
2,
2,
3,
4,
4,
2,
4,
4,
4,
4,
4,
3,
3,
2,
4,
3,
3,
1,
2,
2,
3,
3,
4,
3,
3,
3,
6,
2,
4,
2,
3,
3,
3,
4,
5,
3,
6,
4,
3,
2,
3,
3,
2,
3,
2,
4,
4,
4,
3,
4,
4,
2,
3,
4,
5,
4,
2,
4,
3,
2,
3,
3,
2,
3,
4,
3,
4,
6,
4,
4,
4,
4,
5,
2,
3,
3,
3,
4,
2,
4,
2,
2,
2,
6,
3,
4,
4,
3,
3,
5,
3,
4,
3,
3,
3,
2,
5,
4,
3,
3,
4,
4,
4,
1,
5,
2,
2,
3,
4,
2,
4,
3,
5,
5,
3,
3,
4,
3,
3,
5,
4,
2,
2,
2,
5,
2,
6,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
3,
4,
4,
2,
2,
2,
4,
2,
3,
3,
5,
2,
2,
2,
3,
3,
2,
3,
3,
2,
2,
4,
4,
4,
4,
3,
4,
3,
2,
2,
2,
3,
2,
3,
3,
2,
2,
3,
4,
3,
2,
4,
3,
2,
2,
2,
2,
4,
5,
4,
2,
5,
2,
3,
3,
6,
4,
1,
2,
2,
2,
2,
3,
5,
1,
5,
4,
2,
2,
2,
3,
4,
2,
5,
2,
5,
4,
7,
5,
4,
5,
4,
4,
6,
4,
5,
4,
3,
3,
4,
4,
7,
4,
3,
4,
3,
3,
6,
5,
4,
4,
3,
3,
2,
2,
2,
2,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
5,
2,
2,
6,
3,
3,
3,
2,
2,
2,
3,
2,
5,
5,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
3,
4,
2,
4,
2,
2,
4,
4,
4,
2,
2,
2,
3,
4,
4,
6,
6,
3,
2,
3,
3,
5,
3,
4,
2,
4,
3,
3,
3,
3,
3,
2,
4,
2,
1,
1,
4,
4,
3,
3,
2,
3,
2,
2,
3,
4,
2,
2,
3,
2,
4,
2,
5,
4,
3,
4,
3,
3,
3,
4,
4,
4,
4,
3,
3,
2,
4,
3,
2,
1,
1,
2,
3,
2,
3,
3,
4,
4,
4,
2,
5,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
3,
5,
2,
4,
2,
3,
3,
6,
2,
3,
4,
2,
2,
4,
2,
2,
4,
3,
3,
4,
4,
5,
2,
4,
3,
2,
2,
3,
2,
2,
2,
2,
3,
5,
5,
2,
6,
2,
6,
4,
3,
2,
4,
2,
3,
3,
4,
2,
1,
2,
2,
2,
2,
3,
3,
4,
4,
5,
7,
3,
3,
3,
3,
2,
5,
2,
2,
5,
3,
6,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
2,
2,
3,
4,
2,
2,
2,
4,
2,
4,
4,
2,
4,
3,
3,
3,
2,
3,
4,
4,
3,
4,
3,
4,
3,
3,
2,
2,
1,
2,
4,
2,
2,
2,
3,
4,
2,
2,
2,
3,
4,
3,
4,
2,
3,
6,
4,
4,
5,
4,
4,
2,
2,
3,
3,
4,
4,
2,
2,
4,
2,
5,
3,
2,
4,
2,
1,
1,
3,
2,
5,
8,
4,
4,
3,
4,
4,
4,
3,
3,
4,
3,
2,
3,
3,
3,
2,
5,
4,
3,
2,
2,
2,
5,
2,
4,
4,
5,
2,
3,
3,
3,
4,
2,
1,
2,
2,
2,
3,
7,
3,
4,
3,
5,
3,
2,
2,
4,
5,
2,
3,
5,
2,
2,
2,
6,
5,
5,
3,
2,
4,
4,
2,
3,
3,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
1,
4,
3,
2,
2,
3,
3,
3,
2,
2,
4,
4,
3,
3,
5,
6,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
5,
2,
3,
4,
4,
4,
4,
2,
3,
4,
3,
5,
3,
4,
6,
7,
7,
4,
4,
3,
3,
4,
3,
4,
4,
3,
3,
3,
5,
4,
3,
2,
3,
3,
4,
1,
3,
2,
4,
3,
2,
2,
4,
1,
2,
3,
3,
4,
4,
2,
2,
4,
4,
4,
3,
3,
4,
4,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
6,
2,
3,
4,
2,
3,
6,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
6,
3,
3,
3,
6,
6,
3,
2,
3,
3,
2,
1,
2,
3,
2,
4,
3,
2,
2,
2,
5,
3,
3,
3,
3,
4,
5,
4,
4,
3,
3,
3,
3,
4,
2,
3,
3,
4,
5,
2,
2,
2,
3,
3,
2,
3,
4,
4,
3,
2,
4,
6,
2,
8,
4,
2,
4,
3,
4,
4,
4,
4,
4,
3,
5,
3,
4,
5,
7,
4,
2,
3,
5,
2,
3,
4,
2,
1,
2,
2,
2,
4,
6,
4,
2,
2,
2,
5,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
8,
2,
2,
3,
2,
4,
4,
4,
2,
4,
4,
4,
2,
1,
2,
2,
2,
2,
2,
5,
6,
4,
3,
4,
4,
4,
3,
3,
2,
2,
3,
4,
3,
3,
3,
2,
7,
4,
2,
3,
4,
3,
2,
2,
2,
2,
3,
6,
4,
3,
2,
5,
3,
4,
4,
4,
3,
3,
2,
3,
3,
3,
6,
4,
4,
2,
2,
3,
3,
2,
4,
2,
5,
3,
3,
2,
2,
2,
3,
4,
3,
5,
4,
4,
2,
1,
3,
3,
2,
2,
6,
4,
5,
4,
5,
3,
4,
4,
4,
4,
4,
3,
5,
4,
4,
5,
2,
3,
2,
2,
2,
5,
4,
4,
4,
1,
1,
2,
4,
2,
2,
2,
3,
2,
4,
3,
2,
5,
4,
2,
3,
2,
5,
5,
2,
2,
2,
2,
2,
2,
4,
2,
6,
4,
4,
2,
4,
4,
4,
2,
2,
2,
4,
5,
3,
2,
2,
3,
3,
3,
2,
4,
4,
4,
4,
2,
3,
2,
4,
4,
2,
4,
1,
4,
3,
2,
1,
3,
3,
2,
6,
3,
4,
4,
4,
3,
3,
2,
4,
4,
4,
4,
4,
2,
3,
4,
4,
5,
4,
4,
3,
3,
3,
3,
3,
4,
5,
1,
2,
4,
6,
2,
3,
3,
4,
4,
3,
3,
3,
4,
4,
4,
3,
4,
1,
4,
2,
2,
3,
2,
4,
3,
2,
4,
3,
3,
3,
4,
4,
4,
2,
4,
4,
3,
5,
2,
5,
3,
3,
3,
2,
4,
2,
3,
2,
3,
3,
3,
4,
4,
4,
6,
3,
2,
4,
4,
3,
3,
5,
2,
3,
4,
4,
5,
6,
4,
5,
4,
3,
4,
6,
6,
4,
4,
2,
4,
4,
3,
3,
3,
3,
4,
2,
2,
6,
4,
3,
3,
3,
5,
4,
3,
2,
2,
3,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
2,
4,
5,
5,
5,
3,
4,
2,
2,
3,
3,
3,
3,
3,
6,
7,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
5,
3,
2,
1,
2,
2,
1,
2,
8,
4,
2,
5,
4,
3,
3,
5,
4,
6,
5,
5,
2,
2,
4,
4,
5,
4,
2,
5,
5,
5,
5,
3,
4,
3,
3,
4,
3,
4,
2,
1,
2,
2,
2,
2,
3,
7,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
3,
7,
4,
3,
4,
4,
3,
4,
8,
4,
2,
2,
3,
5,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
4,
6,
4,
3,
2,
4,
4,
3,
2,
2,
3,
2,
2,
2,
5,
4,
2,
4,
2,
6,
4,
5,
4,
3,
3,
3,
2,
3,
3,
2,
4,
1,
3,
2,
4,
4,
4,
4,
2,
2,
3,
4,
3,
3,
4,
4,
4,
4,
5,
7,
2,
2,
2,
3,
2,
3,
2,
4,
2,
2,
2,
4,
2,
2,
4,
3,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
4,
5,
4,
2,
5,
4,
4,
3,
2,
4,
4,
3,
4,
4,
2,
4,
4,
3,
3,
4,
4,
3,
2,
4,
3,
3,
2,
3,
3,
4,
2,
4,
2,
2,
4,
2,
3,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
5,
3,
7,
3,
4,
3,
2,
2,
4,
4,
4,
6,
4,
6,
3,
4,
2,
4,
4,
7,
3,
4,
3,
2,
3,
3,
3,
4,
4,
4,
4,
5,
2,
4,
7,
2,
4,
2,
4,
4,
4,
5,
3,
2,
3,
3,
3,
3,
4,
4,
3,
2,
2,
2,
3,
3,
3,
3,
4,
3,
2,
4,
3,
3,
5,
5,
5,
4,
3,
3,
3,
5,
2,
5,
2,
5,
5,
3,
3,
7,
3,
3,
3,
3,
4,
2,
4,
4,
6,
4,
2,
1,
3,
1,
3,
2,
3,
4,
3,
4,
4,
3,
2,
2,
2,
2,
4,
4,
4,
1,
6,
4,
3,
4,
3,
3,
3,
2,
3,
2,
2,
3,
3,
5,
3,
2,
2,
2,
2,
2,
4,
3,
2,
2,
5,
3,
4,
6,
4,
5,
5,
3,
4,
4,
3,
4,
3,
5,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
2,
4,
3,
4,
5,
3,
2,
2,
2,
1,
4,
4,
4,
3,
3,
4,
3,
3,
5,
4,
4,
2,
2,
2,
4,
4,
4,
2,
3,
4,
3,
3,
2,
2,
3,
4,
2,
2,
2,
4,
4,
4,
2,
4,
2,
3,
4,
4,
2,
2,
3,
2,
3,
4,
4,
4,
3,
3,
4,
2,
4,
5,
5,
5,
3,
3,
3,
4,
2,
6,
4,
7,
2,
4,
4,
4,
2,
2,
2,
2,
4,
2,
4,
2,
2,
6,
3,
4,
3,
3,
2,
3,
7,
5,
2,
2,
4,
4,
5,
6,
3,
2,
2,
4,
4,
6,
4,
4,
2,
2,
3,
3,
4,
5,
8,
2,
5,
3,
4,
5,
4,
3,
2,
2,
3,
3,
5,
4,
2,
2,
3,
7,
2,
2,
2,
4,
4,
6,
9,
3,
7,
2,
2,
2,
3,
3,
4,
5,
3,
5,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
3,
4,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
3,
3,
2,
5,
5,
3,
3,
4,
2,
3,
2,
2,
2,
2,
2,
2,
6,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
5,
4,
4,
4,
3,
4,
3,
3,
2,
2,
5,
3,
3,
3,
5,
4,
4,
4,
2,
4,
5,
2,
4,
4,
2,
4,
3,
2,
2,
2,
2,
4,
4,
4,
6,
3,
8,
2,
2,
4,
5,
4,
2,
2,
2,
4,
3,
4,
4,
3,
3,
2,
3,
4,
4,
2,
2,
3,
2,
4,
1,
3,
1,
4,
3,
4,
1,
3,
2,
1,
1,
2,
4,
4,
3,
5,
4,
3,
3,
3,
3,
3,
3,
2,
4,
2,
3,
2,
4,
4,
2,
3,
3,
5,
6,
2,
8,
3,
2,
2,
4,
2,
4,
5,
6,
4,
4,
5,
4,
3,
3,
5,
2,
4,
4,
4,
4,
4,
4,
1,
4,
3,
2,
4,
2,
4,
4,
4,
2,
3,
2,
4,
2,
2,
7,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
4,
3,
2,
4,
2,
4,
4,
4,
5,
4,
3,
3,
4,
4,
3,
4,
4,
2,
1,
1,
1,
4,
4,
4,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
3,
3,
3,
2,
4,
4,
3,
2,
2,
4,
4,
4,
6,
5,
3,
4,
2,
4,
4,
2,
6,
6,
4,
2,
3,
2,
3,
4,
4,
2,
4,
3,
4,
4,
4,
4,
2,
2,
3,
7,
2,
2,
2,
6,
6,
3,
2,
4,
2,
5,
4,
4,
2,
3,
3,
4,
4,
2,
2,
7,
3,
3,
2,
2,
3,
2,
4,
3,
8,
4,
4,
4,
4,
3,
4,
4,
3,
4,
4,
2,
2,
4,
3,
4,
3,
3,
3,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
2,
2,
1,
5,
4,
2,
4,
4,
3,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
6,
4,
4,
1,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
4,
4,
3,
3,
4,
2,
6,
6,
2,
2,
4,
5,
4,
2,
3,
3,
6,
5,
3,
3,
2,
2,
2,
2,
2,
3,
5,
3,
4,
4,
4,
3,
3,
2,
3,
2,
3,
2,
4,
2,
4,
4,
4,
3,
2,
6,
4,
3,
3,
3,
3,
3,
2,
4,
4,
8,
2,
2,
2,
2,
3,
3,
4,
4,
2,
4,
4,
4,
2,
8,
3,
4,
8,
2,
2,
3,
3,
3,
4,
3,
3,
2,
2,
3,
6,
6,
5,
3,
3,
3,
6,
4,
4,
4,
2,
2,
5,
3,
3,
3,
3,
4,
7,
4,
5,
4,
5,
5,
2,
2,
2,
4,
4,
2,
2,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
6,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
3,
3,
5,
5,
6,
2,
5,
3,
3,
3,
3,
5,
2,
4,
2,
2,
2,
3,
3,
3,
4,
3,
3,
2,
4,
3,
3,
3,
3,
2,
2,
4,
4,
5,
5,
1,
5,
2,
4,
4,
4,
4,
3,
3,
2,
2,
2,
3,
2,
2,
4,
4,
3,
5,
5,
4,
4,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
5,
5,
2,
2,
2,
4,
3,
2,
5,
2,
3,
5,
4,
4,
2,
1,
2,
3,
2,
3,
2,
2,
3,
2,
4,
3,
3,
3,
4,
4,
2,
3,
4,
4,
3,
2,
2,
4,
5,
4,
4,
2,
7,
3,
7,
4,
4,
3,
2,
3,
4,
4,
2,
3,
3,
2,
4,
3,
3,
3,
4,
5,
4,
5,
3,
4,
3,
4,
4,
6,
2,
2,
2,
5,
4,
4,
4,
4,
2,
3,
2,
3,
2,
3,
4,
2,
2,
2,
3,
3,
3,
3,
2,
4,
3,
3,
3,
1,
2,
4,
3,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
2,
2,
4,
3,
2,
3,
2,
3,
5,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
3,
2,
2,
3,
2,
2,
3,
5,
6,
4,
4,
4,
6,
3,
7,
3,
6,
4,
4,
4,
4,
2,
2,
3,
4,
3,
5,
2,
5,
5,
5,
5,
2,
4,
3,
2,
3,
3,
3,
4,
2,
3,
2,
2,
2,
4,
4,
3,
4,
3,
2,
4,
4,
4,
2,
2,
2,
5,
5,
4,
2,
3,
5,
5,
3,
2,
4,
2,
1,
2,
4,
2,
3,
3,
2,
3,
1,
2,
3,
3,
3,
3,
3,
3,
3,
3,
5,
6,
4,
2,
3,
3,
3,
3,
3,
2,
3,
2,
5,
3,
3,
2,
4,
4,
2,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
4,
6,
4,
4,
2,
4,
4,
2,
2,
3,
3,
2,
4,
7,
2,
2,
2,
4,
4,
11,
4,
3,
3,
3,
4,
2,
2,
3,
4,
2,
3,
2,
4,
2,
4,
3,
3,
4,
4,
4,
4,
3,
5,
4,
2,
1,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
1,
1,
4,
2,
3,
3,
4,
4,
4,
3,
2,
4,
4,
4,
4,
2,
3,
2,
2,
6,
4,
3,
4,
2,
4,
2,
3,
3,
7,
3,
3,
3,
3,
3,
3,
5,
3,
8,
6,
1,
3,
5,
4,
2,
2,
4,
4,
4,
4,
4,
4,
2,
5,
5,
5,
3,
3,
3,
3,
3,
7,
5,
2,
2,
2,
2,
2,
2,
3,
5,
2,
4,
4,
3,
3,
2,
2,
2,
3,
3,
3,
4,
5,
5,
8,
8,
4,
3,
4,
4,
4,
4,
2,
2,
5,
5,
3,
3,
2,
6,
2,
3,
4,
3,
3,
4,
4,
4,
2,
4,
3,
4,
2,
2,
2,
3,
4,
2,
2,
4,
5,
6,
5,
5,
2,
3,
2,
4,
3,
3,
3,
5,
2,
2,
4,
2,
4,
3,
5,
4,
7,
6,
4,
4,
2,
4,
4,
4,
2,
6,
4,
4,
4,
5,
2,
3,
6,
4,
6,
8,
2,
4,
8,
4,
4,
2,
2,
4,
4,
2,
2,
3,
3,
5,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
4,
5,
6,
6,
6,
6,
5,
6,
4,
6,
6,
4,
4,
4,
2,
5,
5,
5,
4,
2,
4,
2,
3,
3,
3,
3,
2,
2,
6,
3,
4,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
6,
2,
5,
6,
5,
3,
3,
3,
3,
4,
4,
4,
4,
2,
1,
2,
2,
2,
4,
2,
2,
2,
3,
3,
2,
2,
2,
2,
4,
2,
4,
5,
4,
4,
4,
5,
3,
2,
3,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
3,
3,
3,
3,
2,
2,
3,
4,
4,
2,
4,
3,
2,
2,
4,
4,
2,
2,
2,
2,
4,
4,
4,
3,
3,
4,
4,
3,
3,
5,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
5,
4,
5,
3,
5,
2,
4,
4,
4,
2,
4,
5,
8,
3,
4,
5,
3,
3,
3,
6,
4,
2,
2,
2,
4,
3,
2,
2,
2,
8,
4,
2,
2,
4,
5,
10,
3,
2,
5,
5,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
4,
3,
4,
4,
4,
3,
2,
2,
2,
5,
3,
5,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
3,
5,
4,
4,
3,
3,
4,
2,
3,
2,
2,
3,
4,
4,
4,
4,
3,
2,
3,
3,
3,
2,
3,
4,
2,
3,
2,
2,
4,
4,
5,
5,
4,
4,
2,
2,
4,
2,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
5,
3,
3,
2,
2,
4,
2,
4,
2,
2,
2,
2,
5,
3,
4,
4,
4,
4,
4,
3,
3,
3,
4,
3,
4,
3,
3,
3,
3,
3,
3,
2,
1,
2,
2,
2,
3,
7,
4,
5,
4,
5,
5,
5,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
2,
5,
4,
3,
2,
2,
7,
2,
3,
4,
2,
4,
4,
2,
4,
2,
4,
4,
3,
2,
4,
4,
6,
2,
2,
2,
4,
4,
2,
2,
1,
3,
4,
3,
2,
2,
3,
2,
8,
5,
2,
2,
2,
2,
5,
4,
4,
4,
5,
5,
2,
4,
3,
3,
3,
4,
4,
4,
2,
4,
3,
3,
3,
2,
3,
2,
1,
3,
2,
2,
3,
3,
4,
3,
3,
5,
5,
3,
3,
3,
4,
4,
4,
3,
3,
3,
4,
3,
2,
4,
2,
1,
2,
2,
2,
2,
2,
3,
3,
4,
2,
2,
2,
5,
9,
5,
6,
5,
3,
3,
4,
5,
7,
6,
4,
4,
2,
2,
3,
3,
3,
3,
4,
2,
2,
2,
4,
2,
4,
4,
2,
2,
2,
6,
4,
4,
3,
2,
3,
3,
2,
2,
1,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
3,
5,
6,
4,
5,
4,
4,
4,
4,
3,
3,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
3,
4,
2,
2,
3,
2,
2,
3,
2,
2,
6,
2,
2,
2,
4,
3,
3,
3,
3,
7,
3,
3,
4,
3,
3,
3,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
4,
2,
4,
5,
3,
2,
3,
4,
5,
3,
2,
2,
4,
2,
2,
2,
2,
6,
2,
2,
2,
2,
2,
3,
4,
4,
4,
6,
8,
6,
5,
2,
3,
2,
2,
4,
2,
2,
3,
3,
2,
2,
4,
4,
6,
1,
2,
2,
1,
2,
2,
4,
3,
3,
3,
3,
3,
1,
3,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
5,
5,
5,
3,
2,
4,
2,
6,
1,
4,
4,
2,
2,
4,
3,
4,
3,
7,
4,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
4,
2,
4,
2,
4,
4,
4,
4,
4,
3,
2,
8,
5,
3,
2,
3,
4,
4,
1,
2,
2,
2,
4,
4,
4,
5,
4,
2,
3,
3,
3,
4,
4,
4,
2,
2,
3,
4,
2,
3,
2,
6,
5,
3,
4,
4,
4,
2,
4,
3,
3,
2,
2,
2,
2,
3,
3,
5,
3,
2,
3,
4,
4,
4,
2,
4,
2,
2,
1,
4,
4,
4,
3,
5,
4,
4,
3,
2,
4,
3,
4,
3,
4,
4,
3,
3,
5,
4,
4,
2,
2,
2,
2,
2,
5,
4,
5,
3,
4,
3,
2,
4,
3,
4,
5,
4,
2,
3,
4,
1,
1,
3,
7,
4,
2,
2,
2,
2,
2,
2,
3,
5,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
1,
4,
2,
4,
4,
5,
5,
5,
3,
2,
3,
3,
3,
4,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
3,
3,
4,
5,
4,
4,
2,
3,
2,
6,
4,
2,
4,
3,
3,
4,
2,
4,
2,
2,
2,
2,
3,
3,
4,
5,
2,
3,
4,
2,
2,
4,
4,
2,
3,
4,
3,
3,
3,
4,
2,
5,
2,
5,
3,
2,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
3,
3,
3,
2,
3,
2,
2,
3,
4,
1,
2,
2,
4,
2,
5,
4,
5,
4,
4,
2,
4,
7,
3,
2,
2,
2,
3,
3,
5,
3,
4,
4,
3,
4,
6,
3,
3,
2,
4,
4,
6,
3,
2,
2,
3,
2,
2,
1,
3,
3,
3,
5,
2,
3,
1,
2,
3,
5,
2,
3,
1,
2,
3,
2,
1,
3,
3,
5,
5,
5,
4,
4,
3,
5,
4,
4,
5,
4,
3,
4,
4,
6,
2,
4,
2,
3,
6,
5,
4,
2,
4,
2,
3,
3,
3,
3,
4,
2,
3,
2,
3,
2,
5,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
6,
6,
3,
2,
2,
4,
4,
3,
3,
2,
1,
2,
6,
3,
5,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
5,
4,
4,
5,
3,
3,
3,
3,
5,
3,
2,
3,
2,
3,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
5,
2,
2,
3,
3,
3,
3,
10,
3,
4,
3,
3,
3,
3,
3,
4,
2,
4,
8,
3,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
2,
2,
2,
7,
6,
3,
4,
3,
2,
2,
3,
3,
4,
3,
2,
2,
3,
4,
3,
4,
3,
4,
4,
3,
4,
3,
3,
2,
5,
4,
2,
2,
3,
2,
2,
3,
2,
2,
4,
2,
4,
3,
2,
2,
4,
3,
2,
3,
2,
4,
4,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
2,
2,
2,
3,
3,
3,
4,
4,
2,
3,
3,
2,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
2,
5,
4,
4,
2,
3,
3,
2,
3,
4,
4,
4,
2,
2,
5,
5,
3,
2,
2,
4,
4,
3,
2,
4,
4,
4,
4,
3,
2,
2,
2,
5,
8,
3,
3,
2,
3,
2,
2,
2,
3,
3,
4,
1,
6,
2,
2,
2,
4,
3,
4,
4,
4,
2,
2,
3,
3,
3,
3,
2,
3,
5,
3,
3,
4,
3,
4,
3,
2,
1,
4,
3,
3,
4,
4,
4,
5,
3,
4,
4,
3,
2,
2,
3,
1,
3,
5,
5,
2,
3,
3,
3,
4,
4,
4,
2,
6,
3,
3,
3,
2,
3,
6,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
7,
4,
2,
2,
3,
4,
3,
6,
6,
3,
4,
2,
4,
3,
4,
2,
2,
4,
3,
4,
3,
2,
3,
2,
3,
5,
2,
3,
2,
4,
4,
4,
5,
4,
2,
2,
4,
4,
5,
3,
2,
3,
4,
2,
2,
3,
2,
3,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
2,
4,
4,
4,
10,
2,
2,
4,
4,
4,
6,
5,
3,
3,
2,
5,
2,
2,
2,
2,
3,
4,
3,
2,
4,
4,
4,
2,
7,
6,
4,
3,
5,
1,
2,
2,
3,
3,
2,
2,
3,
4,
4,
4,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
4,
2,
2,
2,
7,
3,
3,
5,
2,
4,
2,
5,
5,
3,
2,
3,
3,
4,
3,
2,
3,
5,
6,
4,
1,
5,
5,
2,
5,
4,
4,
2,
3,
2,
3,
3,
2,
3,
5,
6,
4,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
2,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
4,
4,
2,
4,
4,
4,
5,
3,
4,
7,
4,
4,
4,
4,
4,
4,
4,
2,
5,
3,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
3,
7,
4,
4,
2,
6,
3,
6,
2,
6,
3,
3,
1,
4,
2,
3,
4,
3,
4,
5,
3,
2,
3,
2,
2,
3,
4,
4,
2,
5,
3,
2,
2,
2,
2,
5,
2,
2,
2,
3,
3,
6,
2,
3,
2,
2,
2,
3,
2,
3,
3,
3,
5,
3,
2,
3,
3,
4,
4,
4,
3,
3,
2,
3,
5,
5,
2,
2,
1,
1,
3,
3,
2,
2,
6,
2,
3,
3,
3,
4,
3,
3,
2,
4,
4,
4,
3,
4,
4,
3,
3,
4,
3,
3,
4,
3,
2,
2,
5,
4,
2,
4,
2,
2,
2,
1,
1,
2,
3,
1,
1,
1,
3,
3,
4,
4,
4,
4,
6,
4,
5,
2,
4,
1,
3,
3,
6,
3,
7,
3,
4,
4,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
3,
4,
3,
2,
2,
2,
4,
2,
4,
4,
2,
3,
4,
3,
3,
2,
4,
2,
2,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
3,
4,
1,
4,
1,
3,
4,
4,
3,
2,
2,
2,
3,
3,
3,
2,
3,
5,
4,
3,
2,
3,
4,
3,
3,
4,
4,
2,
3,
2,
2,
2,
2,
5,
3,
2,
5,
5,
3,
4,
4,
2,
2,
4,
2,
4,
3,
3,
4,
4,
3,
4,
3,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
8,
4,
4,
2,
2,
3,
2,
2,
4,
3,
3,
2,
3,
4,
4,
2,
2,
3,
4,
3,
4,
4,
2,
2,
2,
2,
3,
2,
2,
3,
2,
4,
2,
5,
3,
6,
2,
2,
5,
3,
2,
5,
2,
4,
3,
5,
2,
3,
3,
3,
5,
4,
4,
2,
4,
2,
3,
3,
4,
4,
4,
4,
2,
2,
2,
4,
5,
5,
2,
2,
4,
4,
2,
2,
2,
2,
2,
5,
2,
4,
2,
5,
2,
3,
4,
4,
4,
4,
3,
2,
2,
2,
3,
3,
6,
2,
4,
4,
5,
4,
3,
3,
7,
2,
3,
3,
4,
3,
4,
4,
4,
4,
1,
2,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
3,
1,
2,
2,
3,
4,
3,
3,
3,
2,
2,
2,
3,
5,
2,
4,
3,
3,
2,
3,
2,
2,
4,
6,
2,
4,
7,
2,
3,
3,
6,
6,
6,
4,
4,
3,
3,
4,
5,
5,
4,
3,
3,
2,
2,
2,
2,
3,
4,
7,
3,
3,
2,
3,
3,
3,
3,
3,
4,
5,
4,
4,
2,
3,
7,
7,
4,
2,
2,
4,
5,
4,
2,
4,
4,
4,
3,
6,
3,
4,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
5,
4,
2,
3,
3,
3,
3,
3,
4,
3,
4,
5,
3,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
3,
3,
4,
4,
4,
4,
2,
4,
6,
4,
2,
3,
2,
3,
2,
2,
3,
2,
2,
2,
2,
4,
3,
3,
5,
4,
3,
3,
2,
2,
3,
2,
5,
2,
2,
2,
2,
3,
5,
4,
2,
3,
5,
2,
3,
2,
2,
4,
4,
3,
4,
4,
2,
3,
3,
2,
2,
3,
3,
2,
5,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
3,
2,
3,
2,
5,
2,
2,
3,
3,
4,
2,
2,
4,
4,
4,
6,
4,
4,
4,
2,
4,
5,
4,
4,
4,
4,
4,
2,
4,
6,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
3,
2,
5,
3,
2,
5,
4,
4,
4,
2,
2,
2,
2,
2,
4,
3,
3,
3,
5,
3,
3,
4,
4,
3,
3,
2,
4,
4,
4,
2,
4,
2,
4,
1,
3,
2,
1,
1,
2,
2,
2,
2,
2,
3,
3,
4,
3,
4,
4,
2,
2,
6,
4,
3,
3,
3,
4,
1,
5,
1,
2,
4,
3,
3,
6,
3,
3,
5,
2,
2,
2,
3,
3,
3,
3,
5,
5,
4,
2,
2,
2,
3,
3,
5,
5,
4,
8,
3,
3,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
4,
2,
3,
2,
3,
2,
2,
3,
2,
2,
4,
2,
2,
3,
3,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
3,
5,
4,
4,
4,
4,
4,
3,
4,
3,
2,
2,
2,
3,
2,
3,
2,
2,
3,
2,
3,
2,
2,
4,
3,
4,
3,
4,
4,
4,
2,
2,
4,
4,
2,
2,
3,
2,
2,
2,
2,
6,
3,
3,
3,
4,
2,
4,
4,
5,
2,
2,
4,
3,
2,
2,
4,
5,
4,
1,
4,
4,
3,
4,
2,
4,
4,
3,
4,
2,
2,
3,
2,
2,
3,
2,
3,
2,
4,
3,
2,
2,
3,
3,
2,
2,
2,
4,
4,
2,
3,
3,
3,
3,
2,
2,
2,
4,
2,
2,
2,
5,
5,
3,
3,
3,
4,
3,
4,
2,
1,
4,
5,
4,
4,
4,
3,
5,
3,
3,
3,
3,
1,
3,
4,
3,
3,
3,
4,
4,
4,
3,
4,
4,
4,
3,
3,
3,
2,
2,
2,
3,
2,
2,
4,
2,
2,
4,
4,
3,
3,
3,
3,
5,
6,
4,
4,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
5,
2,
6,
4,
3,
2,
2,
2,
2,
2,
1,
3,
4,
2,
2,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
1,
2,
3,
6,
3,
3,
4,
2,
4,
4,
2,
5,
4,
4,
4,
2,
2,
3,
3,
4,
4,
2,
7,
2,
4,
4,
2,
4,
3,
4,
3,
2,
3,
3,
3,
4,
2,
4,
3,
2,
2,
3,
2,
3,
3,
3,
2,
4,
3,
4,
3,
4,
4,
4,
5,
5,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
5,
4,
3,
3,
4,
2,
2,
4,
4,
2,
6,
4,
8,
6,
3,
4,
2,
3,
2,
4,
4,
2,
2,
3,
3,
4,
2,
3,
3,
4,
4,
4,
4,
4,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
7,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
6,
3,
3,
3,
4,
2,
3,
2,
2,
2,
5,
10,
4,
2,
2,
2,
4,
4,
3,
2,
3,
2,
3,
2,
3,
2,
3,
2,
2,
6,
6,
2,
3,
2,
3,
2,
2,
4,
4,
2,
2,
2,
3,
6,
3,
3,
3,
4,
3,
2,
3,
3,
3,
2,
2,
2,
2,
5,
2,
2,
3,
3,
3,
5,
4,
4,
4,
4,
2,
3,
4,
2,
2,
7,
7,
4,
4,
5,
3,
7,
6,
1,
2,
3,
2,
4,
5,
4,
2,
2,
3,
2,
4,
4,
5,
5,
4,
4,
2,
2,
4,
4,
4,
2,
2,
2,
4,
2,
2,
4,
4,
4,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
5,
3,
4,
4,
4,
3,
2,
4,
4,
6,
5,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
6,
2,
4,
3,
2,
4,
2,
2,
6,
3,
3,
3,
4,
4,
2,
3,
2,
2,
4,
2,
2,
2,
3,
2,
2,
3,
5,
2,
2,
5,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
7,
7,
2,
2,
8,
4,
2,
2,
2,
2,
2,
2,
3,
4,
5,
4,
3,
3,
3,
2,
2,
1,
2,
3,
2,
3,
4,
2,
2,
7,
4,
2,
2,
2,
2,
4,
2,
2,
3,
3,
4,
4,
2,
3,
3,
4,
6,
6,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
3,
4,
4,
3,
4,
5,
2,
3,
3,
3,
4,
2,
4,
3,
2,
4,
4,
3,
2,
4,
3,
3,
3,
3,
2,
2,
2,
3,
4,
4,
4,
2,
2,
2,
2,
3,
3,
2,
2,
6,
2,
4,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
6,
5,
4,
3,
2,
2,
5,
3,
5,
5,
5,
5,
3,
3,
2,
2,
4,
4,
4,
2,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
4,
4,
2,
4,
2,
4,
2,
3,
4,
2,
4,
3,
3,
3,
3,
3,
2,
4,
3,
6,
6,
3,
4,
4,
7,
3,
2,
2,
2,
3,
5,
6,
3,
1,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
5,
2,
2,
5,
3,
2,
2,
2,
2,
2,
4,
1,
5,
5,
3,
3,
4,
4,
3,
3,
3,
3,
3,
4,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
4,
3,
3,
6,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
3,
5,
9,
2,
4,
3,
3,
5,
4,
2,
5,
4,
6,
5,
4,
2,
2,
4,
2,
2,
3,
4,
4,
4,
4,
2,
4,
3,
4,
2,
3,
4,
4,
3,
2,
2,
4,
2,
3,
3,
2,
4,
4,
3,
3,
2,
4,
5,
1,
4,
5,
3,
3,
3,
2,
4,
3,
4,
2,
3,
3,
4,
3,
2,
3,
3,
4,
4,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
6,
2,
3,
3,
3,
3,
6,
3,
1,
2,
4,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
5,
3,
2,
2,
3,
3,
4,
4,
4,
3,
3,
6,
2,
2,
2,
2,
5,
4,
3,
3,
3,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
4,
3,
4,
4,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
4,
7,
3,
2,
4,
3,
3,
2,
3,
4,
5,
2,
2,
2,
3,
3,
3,
2,
2,
4,
5,
5,
5,
4,
4,
3,
2,
2,
2,
2,
2,
2,
4,
2,
5,
2,
4,
3,
3,
4,
2,
2,
2,
2,
3,
2,
2,
4,
4,
3,
2,
5,
1,
2,
1,
1,
2,
2,
2,
2,
3,
4,
4,
2,
1,
5,
5,
3,
3,
3,
3,
4,
4,
4,
3,
4,
3,
6,
7,
4,
4,
4,
4,
4,
4,
4,
2,
6,
6,
2,
3,
2,
5,
4,
1,
4,
4,
2,
5,
4,
4,
2,
3,
3,
3,
2,
2,
2,
4,
5,
5,
3,
5,
5,
3,
2,
3,
3,
4,
3,
3,
3,
2,
4,
4,
4,
2,
2,
4,
3,
3,
4,
2,
4,
3,
3,
3,
2,
4,
4,
2,
1,
2,
2,
2,
3,
4,
2,
3,
3,
2,
3,
3,
3,
2,
2,
1,
3,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
2,
4,
7,
7,
4,
4,
4,
4,
5,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
4,
3,
4,
2,
4,
3,
3,
1,
2,
2,
2,
3,
1,
1,
2,
6,
4,
2,
2,
1,
2,
3,
2,
4,
2,
4,
3,
4,
4,
5,
8,
2,
4,
2,
2,
3,
3,
4,
1,
4,
2,
3,
5,
4,
5,
5,
3,
2,
2,
2,
2,
2,
4,
3,
2,
4,
3,
3,
2,
3,
5,
4,
2,
3,
2,
3,
3,
3,
3,
3,
2,
2,
4,
4,
2,
2,
3,
7,
7,
5,
7,
3,
3,
4,
2,
4,
2,
4,
5,
2,
2,
2,
2,
2,
2,
2,
3,
1,
3,
4,
2,
6,
2,
3,
3,
2,
2,
3,
3,
4,
2,
3,
3,
3,
6,
2,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
5,
4,
4,
2,
6,
3,
2,
2,
4,
2,
3,
3,
3,
3,
5,
3,
3,
2,
4,
3,
3,
5,
4,
5,
2,
2,
3,
2,
3,
3,
5,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
4,
4,
3,
3,
2,
2,
3,
4,
6,
2,
3,
2,
4,
2,
2,
2,
2,
4,
4,
2,
3,
2,
4,
4,
2,
2,
4,
4,
3,
4,
3,
4,
4,
3,
4,
4,
4,
3,
2,
7,
5,
3,
4,
4,
6,
3,
3,
3,
3,
3,
4,
2,
2,
2,
4,
4,
3,
3,
2,
3,
3,
4,
4,
4,
4,
4,
3,
0,
4,
2,
2,
3,
6,
3,
3,
3,
3,
6,
6,
3,
3,
3,
3,
3,
4,
3,
3,
3,
5,
6,
2,
2,
3,
3,
4,
5,
2,
6,
3,
2,
4,
3,
1,
4,
4,
2,
2,
4,
2,
2,
4,
4,
4,
6,
3,
2,
4,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
3,
2,
3,
3,
2,
2,
3,
2,
3,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
4,
3,
2,
3,
3,
3,
6,
3,
3,
3,
4,
4,
2,
2,
3,
4,
2,
2,
5,
4,
2,
4,
2,
4,
2,
2,
4,
5,
4,
4,
4,
5,
4,
4,
4,
4,
2,
3,
2,
4,
4,
4,
4,
4,
3,
5,
1,
3,
3,
3,
3,
4,
6,
4,
3,
2,
3,
2,
2,
2,
5,
5,
3,
3,
2,
3,
4,
2,
2,
2,
2,
5,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
3,
3,
2,
2,
3,
4,
3,
2,
2,
2,
2,
2,
3,
3,
4,
5,
3,
3,
2,
3,
2,
4,
4,
4,
3,
3,
3,
3,
4,
2,
3,
4,
2,
5,
3,
3,
3,
2,
2,
2,
6,
6,
4,
4,
4,
4,
2,
3,
3,
4,
3,
4,
4,
6,
3,
2,
2,
2,
5,
2,
2,
2,
3,
6,
3,
5,
3,
6,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
2,
2,
3,
4,
1,
2,
4,
4,
3,
4,
4,
4,
3,
5,
5,
3,
3,
2,
4,
4,
2,
8,
2,
2,
4,
4,
2,
4,
2,
3,
3,
5,
2,
2,
2,
2,
3,
4,
3,
5,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
6,
6,
4,
2,
5,
6,
4,
4,
4,
6,
2,
3,
4,
3,
2,
2,
3,
2,
3,
2,
2,
3,
3,
3,
4,
3,
4,
4,
3,
4,
4,
4,
5,
3,
3,
3,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
5,
2,
5,
5,
4,
2,
2,
4,
3,
3,
4,
3,
2,
4,
4,
4,
5,
5,
3,
2,
2,
3,
3,
3,
6,
5,
2,
2,
3,
4,
2,
2,
3,
4,
6,
3,
4,
3,
4,
2,
4,
2,
5,
3,
3,
3,
3,
3,
4,
3,
2,
4,
4,
4,
5,
8,
2,
4,
3,
2,
2,
2,
6,
6,
2,
1,
3,
2,
2,
4,
3,
3,
2,
2,
2,
3,
2,
4,
3,
4,
2,
3,
4,
2,
4,
2,
2,
4,
2,
6,
4,
6,
3,
3,
2,
3,
2,
3,
4,
5,
4,
4,
4,
3,
4,
3,
6,
3,
4,
4,
1,
3,
4,
4,
4,
4,
3,
3,
3,
5,
4,
4,
3,
4,
3,
3,
6,
7,
7,
4,
2,
4,
3,
3,
3,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
3,
4,
4,
3,
2,
3,
2,
2,
4,
4,
4,
4,
3,
3,
2,
4,
4,
2,
3,
6,
5,
2,
4,
4,
4,
6,
3,
4,
4,
3,
3,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
5,
5,
5,
3,
3,
3,
3,
3,
3,
3,
3,
6,
5,
5,
3,
3,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
6,
4,
4,
4,
2,
4,
3,
3,
2,
6,
6,
5,
5,
3,
4,
4,
3,
2,
4,
2,
2,
2,
2,
2,
3,
2,
2,
3,
1,
2,
4,
6,
4,
3,
3,
2,
2,
2,
3,
3,
4,
3,
3,
2,
2,
2,
2,
3,
3,
2,
2,
4,
4,
4,
2,
2,
4,
3,
6,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
2,
2,
5,
3,
4,
1,
3,
4,
4,
3,
7,
2,
3,
2,
2,
4,
2,
3,
3,
3,
6,
3,
2,
4,
2,
4,
4,
4,
4,
2,
4,
4,
2,
4,
3,
3,
3,
3,
3,
4,
3,
2,
3,
2,
4,
4,
2,
4,
3,
2,
2,
3,
3,
3,
3,
4,
2,
3,
2,
4,
4,
2,
2,
4,
2,
2,
4,
2,
2,
2,
2,
2,
3,
4,
4,
2,
4,
2,
4,
4,
2,
3,
2,
2,
4,
4,
4,
3,
4,
4,
4,
2,
4,
2,
3,
4,
4,
4,
3,
3,
3,
4,
4,
2,
4,
3,
2,
1,
3,
3,
3,
4,
4,
4,
6,
4,
3,
3,
4,
2,
4,
2,
4,
4,
3,
4,
4,
4,
3,
3,
4,
4,
3,
3,
4,
4,
6,
5,
3,
5,
4,
3,
4,
2,
2,
1,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
4,
2,
3,
2,
3,
4,
2,
4,
2,
3,
2,
2,
4,
4,
2,
2,
3,
3,
3,
6,
6,
4,
3,
3,
3,
3,
4,
2,
2,
3,
2,
4,
5,
3,
4,
4,
5,
5,
4,
2,
2,
2,
4,
4,
3,
3,
2,
8,
3,
2,
3,
4,
4,
4,
5,
4,
5,
4,
2,
2,
2,
5,
5,
4,
4,
4,
4,
4,
2,
3,
4,
5,
7,
8,
4,
3,
3,
3,
6,
6,
1,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
3,
2,
2,
3,
4,
3,
4,
2,
3,
6,
2,
2,
3,
3,
3,
8,
3,
3,
4,
4,
3,
4,
4,
1,
1,
1,
4,
3,
3,
5,
7,
2,
2,
4,
8,
3,
2,
8,
5,
3,
4,
4,
3,
3,
5,
5,
5,
4,
4,
3,
6,
4,
5,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
4,
3,
3,
5,
4,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
6,
6,
6,
6,
4,
2,
2,
2,
4,
3,
3,
5,
2,
3,
3,
3,
2,
1,
2,
2,
4,
6,
4,
4,
4,
6,
4,
3,
4,
2,
3,
2,
3,
5,
5,
5,
3,
3,
2,
1,
4,
7,
2,
3,
3,
1,
2,
3,
4,
3,
4,
4,
4,
3,
3,
2,
2,
3,
4,
4,
3,
3,
4,
2,
2,
3,
2,
3,
5,
5,
7,
2,
2,
2,
4,
4,
3,
4,
2,
7,
7,
5,
7,
2,
4,
4,
5,
5,
7,
6,
5,
4,
4,
5,
8,
3,
4,
4,
4,
2,
4,
4,
4,
2,
4,
2,
3,
5,
5,
4,
2,
3,
3,
2,
3,
4,
4,
2,
5,
3,
3,
4,
4,
4,
2,
4,
2,
8,
4,
4,
5,
3,
5,
2,
3,
3,
3,
3,
2,
3,
4,
4,
1,
4,
4,
4,
2,
2,
3,
2,
3,
2,
3,
3,
5,
2,
2,
2,
2,
6,
2,
2,
4,
4,
2,
2,
2,
3,
4,
3,
3,
2,
4,
4,
4,
3,
2,
2,
4,
4,
3,
4,
7,
2,
2,
4,
4,
2,
2,
2,
4,
2,
2,
4,
2,
4,
2,
7,
4,
2,
2,
2,
5,
4,
4,
3,
5,
3,
3,
3,
4,
2,
4,
4,
4,
6,
2,
2,
2,
3,
3,
3,
4,
5,
5,
3,
5,
2,
3,
6,
2,
4,
4,
5,
3,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
7,
4,
5,
3,
3,
3,
3,
3,
2,
3,
2,
4,
3,
3,
3,
4,
3,
4,
2,
3,
3,
4,
4,
2,
4,
2,
2,
3,
4,
4,
4,
3,
2,
3,
2,
2,
2,
5,
3,
2,
3,
4,
2,
4,
4,
4,
3,
3,
3,
4,
2,
4,
2,
6,
3,
6,
5,
6,
2,
2,
4,
4,
1,
3,
2,
3,
4,
4,
2,
4,
4,
3,
3,
6,
3,
2,
3,
3,
4,
2,
2,
2,
2,
2,
6,
7,
4,
3,
3,
5,
6,
2,
3,
4,
4,
4,
2,
4,
4,
6,
4,
4,
2,
4,
3,
4,
4,
4,
2,
2,
2,
1,
4,
5,
5,
4,
3,
3,
2,
3,
4,
4,
2,
3,
4,
4,
3,
3,
3,
3,
4,
4,
4,
3,
2,
4,
3,
4,
3,
3,
3,
3,
2,
3,
3,
3,
2,
3,
2,
4,
2,
4,
4,
4,
4,
6,
2,
3,
2,
2,
3,
4,
2,
3,
2,
3,
2,
2,
2,
1,
4,
4,
3,
2,
2,
4,
5,
6,
5,
3,
2,
5,
2,
3,
4,
3,
2,
4,
3,
4,
3,
4,
2,
2,
4,
4,
2,
2,
5,
3,
3,
3,
3,
2,
2,
2,
3,
2,
6,
3,
4,
4,
4,
4,
2,
3,
4,
3,
4,
4,
4,
4,
4,
3,
3,
4,
3,
5,
2,
5,
5,
2,
4,
4,
5,
3,
2,
4,
3,
2,
4,
3,
3,
4,
4,
2,
5,
6,
5,
2,
6,
2,
2,
4,
2,
2,
4,
6,
4,
3,
6,
3,
5,
3,
6,
4,
4,
4,
4,
2,
3,
3,
2,
3,
2,
4,
3,
2,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
5,
2,
4,
2,
4,
4,
4,
7,
2,
3,
4,
5,
4,
2,
3,
1,
4,
3,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
5,
4,
3,
3,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
2,
6,
3,
4,
2,
2,
2,
3,
3,
3,
3,
1,
4,
2,
4,
4,
4,
4,
3,
3,
6,
2,
2,
4,
2,
4,
3,
2,
1,
3,
2,
2,
4,
6,
5,
4,
2,
4,
2,
4,
3,
2,
3,
3,
1,
2,
3,
3,
3,
3,
3,
2,
2,
6,
4,
4,
6,
4,
4,
4,
4,
1,
1,
2,
4,
6,
2,
2,
2,
2,
6,
3,
3,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
8,
1,
2,
2,
2,
2,
4,
8,
2,
2,
2,
6,
2,
4,
4,
2,
4,
4,
1,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
5,
4,
2,
3,
4,
3,
3,
2,
3,
2,
4,
2,
2,
4,
4,
2,
5,
4,
1,
6,
4,
4,
4,
4,
4,
2,
2,
3,
4,
3,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
4,
5,
3,
4,
2,
3,
7,
2,
2,
4,
2,
3,
3,
2,
4,
5,
2,
2,
4,
2,
4,
4,
4,
3,
3,
3,
5,
3,
2,
2,
4,
4,
4,
5,
6,
4,
4,
4,
4,
2,
2,
3,
8,
2,
4,
2,
4,
4,
4,
2,
2,
2,
5,
3,
4,
4,
4,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
4,
3,
2,
2,
3,
3,
3,
4,
2,
2,
3,
5,
2,
3,
3,
4,
2,
4,
5,
1,
2,
4,
2,
4,
5,
4,
5,
4,
4,
5,
3,
3,
3,
3,
6,
3,
4,
5,
2,
4,
2,
4,
5,
5,
5,
3,
2,
3,
2,
2,
3,
4,
3,
4,
4,
5,
4,
2,
4,
5,
3,
4,
5,
3,
4,
4,
8,
5,
6,
4,
3,
4,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
4,
2,
2,
5,
4,
2,
3,
3,
3,
2,
3,
9,
3,
2,
4,
4,
4,
4,
4,
7,
7,
2,
2,
5,
4,
5,
2,
2,
4,
6,
5,
7,
7,
2,
2,
3,
3,
5,
3,
2,
2,
2,
5,
3,
3,
3,
7,
3,
3,
3,
3,
2,
2,
4,
2,
2,
4,
3,
2,
4,
4,
4,
2,
3,
3,
4,
2,
4,
2,
4,
3,
3,
3,
4,
4,
4,
2,
2,
1,
3,
2,
3,
4,
3,
3,
3,
2,
1,
2,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
6,
4,
3,
3,
3,
4,
4,
6,
4,
4,
4,
2,
4,
4,
3,
3,
2,
2,
3,
3,
3,
4,
4,
4,
4,
2,
1,
2,
3,
3,
2,
2,
6,
4,
4,
4,
4,
4,
2,
2,
4,
3,
4,
4,
5,
2,
3,
2,
4,
3,
3,
4,
4,
4,
2,
4,
4,
4,
6,
6,
2,
5,
3,
4,
4,
4,
3,
4,
4,
4,
3,
1,
5,
2,
3,
3,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
2,
2,
4,
8,
3,
2,
3,
2,
4,
4,
2,
4,
2,
2,
4,
4,
3,
2,
4,
4,
2,
2,
4,
3,
4,
2,
4,
2,
5,
4,
3,
4,
4,
3,
3,
3,
4,
2,
2,
3,
3,
3,
3,
2,
4,
4,
2,
3,
3,
4,
4,
3,
2,
2,
3,
6,
2,
2,
3,
3,
4,
6,
2,
3,
3,
3,
2,
4,
2,
2,
4,
4,
3,
4,
3,
5,
3,
2,
2,
3,
3,
9,
4,
4,
4,
4,
4,
7,
4,
2,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
5,
5,
4,
6,
3,
4,
2,
4,
4,
4,
4,
4,
3,
5,
3,
2,
2,
3,
4,
2,
3,
2,
5,
4,
4,
3,
3,
3,
5,
4,
4,
4,
2,
4,
3,
4,
2,
1,
2,
3,
2,
2,
3,
2,
2,
2,
5,
5,
4,
2,
2,
1,
4,
4,
3,
5,
4,
3,
3,
2,
2,
3,
2,
5,
3,
2,
4,
3,
4,
3,
3,
4,
8,
2,
4,
5,
2,
4,
4,
3,
4,
4,
3,
2,
2,
4,
2,
2,
4,
4,
4,
5,
2,
4,
4,
3,
3,
6,
4,
2,
3,
7,
4,
4,
4,
6,
4,
4,
4,
3,
3,
3,
2,
2,
4,
2,
2,
2,
3,
3,
3,
4,
2,
3,
2,
4,
4,
4,
2,
3,
2,
3,
3,
3,
3,
2,
3,
2,
2,
2,
4,
4,
2,
6,
2,
4,
2,
3,
2,
5,
5,
5,
2,
4,
4,
3,
2,
4,
3,
4,
3,
3,
3,
2,
2,
2,
2,
2,
5,
3,
3,
4,
5,
2,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
2,
4,
4,
7,
2,
2,
2,
3,
3,
4,
2,
2,
3,
3,
3,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
3,
3,
9,
3,
2,
4,
4,
5,
6,
3,
2,
6,
3,
3,
3,
4,
4,
2,
2,
3,
4,
3,
3,
4,
4,
4,
4,
4,
6,
1,
3,
2,
3,
2,
1,
2,
1,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
2,
4,
6,
2,
2,
4,
2,
2,
6,
2,
4,
4,
4,
2,
4,
4,
4,
4,
2,
2,
4,
3,
3,
4,
3,
3,
3,
3,
2,
2,
4,
4,
6,
5,
5,
4,
4,
1,
1,
5,
7,
4,
3,
5,
6,
3,
6,
5,
5,
4,
3,
3,
6,
5,
3,
4,
4,
3,
3,
1,
2,
2,
2,
2,
3,
4,
2,
4,
4,
4,
4,
3,
2,
3,
2,
2,
5,
3,
3,
3,
4,
4,
6,
4,
4,
3,
4,
4,
3,
4,
2,
3,
3,
4,
3,
1,
2,
5,
5,
3,
3,
3,
4,
2,
2,
4,
4,
3,
5,
6,
4,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
7,
4,
4,
4,
3,
4,
4,
2,
2,
2,
2,
3,
2,
2,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
5,
2,
2,
7,
4,
4,
2,
6,
6,
3,
3,
4,
6,
5,
3,
3,
3,
2,
3,
4,
2,
2,
6,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
3,
4,
2,
2,
2,
2,
2,
1,
4,
3,
3,
2,
3,
3,
2,
6,
3,
2,
3,
3,
4,
4,
2,
3,
2,
2,
2,
4,
2,
2,
3,
3,
2,
3,
3,
3,
2,
4,
2,
2,
4,
2,
4,
4,
4,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
3,
3,
3,
3,
4,
1,
3,
2,
2,
2,
4,
4,
4,
5,
2,
2,
2,
3,
3,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
3,
2,
4,
2,
3,
6,
1,
3,
3,
2,
1,
3,
2,
2,
3,
3,
3,
0,
2,
2,
4,
2,
3,
4,
5,
4,
6,
2,
2,
4,
4,
4,
3,
3,
4,
4,
2,
2,
3,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
3,
4,
3,
2,
4,
3,
3,
4,
3,
4,
4,
4,
3,
4,
2,
2,
2,
4,
2,
2,
4,
2,
2,
2,
4,
2,
3,
1,
3,
2,
5,
4,
2,
4,
3,
2,
1,
5,
3,
4,
4,
2,
2,
2,
2,
3,
4,
4,
3,
3,
4,
5,
7,
6,
4,
4,
4,
4,
6,
2,
2,
2,
3,
4,
3,
3,
4,
4,
3,
3,
4,
4,
4,
2,
1,
3,
5,
7,
3,
4,
4,
4,
4,
1,
5,
2,
2,
5,
4,
4,
4,
3,
5,
2,
3,
3,
3,
3,
4,
4,
2,
4,
4,
2,
4,
2,
2,
3,
3,
2,
4,
7,
5,
4,
3,
3,
2,
3,
4,
2,
24,
2,
2,
6,
4,
4,
2,
2,
4,
4,
2,
2,
1,
4,
2,
2,
2,
4,
6,
3,
2,
3,
4,
4,
3,
3,
2,
6,
3,
2,
4,
2,
5,
4,
4,
3,
3,
3,
2,
5,
3,
4,
4,
4,
3,
4,
4,
4,
2,
7,
3,
6,
6,
6,
4,
2,
3,
2,
4,
2,
2,
1,
2,
2,
4,
1,
3,
3,
4,
2,
4,
2,
4,
2,
4,
3,
2,
4,
3,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
3,
4,
3,
4,
2,
4,
5,
4,
4,
4,
4,
4,
8,
4,
6,
6,
5,
4,
5,
5,
2,
3,
2,
4,
4,
4,
2,
1,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
6,
2,
2,
3,
2,
5,
3,
3,
3,
3,
4,
2,
8,
4,
4,
4,
3,
3,
3,
2,
4,
3,
5,
2,
7,
3,
2,
2,
2,
3,
3,
2,
6,
4,
3,
4,
2,
2,
4,
2,
4,
4,
7,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
2,
3,
3,
4,
2,
2,
5,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
3,
4,
4,
2,
2,
2,
3,
4,
2,
3,
2,
4,
3,
6,
3,
3,
3,
4,
3,
6,
2,
2,
2,
2,
2,
3,
3,
2,
4,
5,
5,
3,
4,
3,
2,
4,
2,
2,
1,
2,
2,
2,
3,
3,
2,
3,
4,
2,
4,
2,
4,
3,
3,
4,
4,
5,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
2,
4,
2,
2,
3,
2,
4,
5,
3,
2,
2,
3,
3,
2,
4,
2,
3,
2,
4,
3,
4,
1,
4,
4,
4,
3,
5,
1,
2,
3,
3,
3,
3,
4,
4,
4,
3,
3,
7,
4,
4,
3,
5,
3,
4,
4,
3,
3,
2,
3,
2,
2,
2,
1,
4,
2,
2,
2,
2,
10,
3,
3,
3,
4,
3,
3,
3,
3,
7,
4,
4,
2,
3,
2,
3,
3,
3,
3,
4,
3,
2,
2,
3,
5,
4,
2,
2,
4,
2,
2,
3,
3,
4,
4,
3,
1,
5,
3,
3,
8,
6,
4,
3,
4,
4,
2,
3,
3,
3,
2,
4,
3,
2,
5,
4,
4,
2,
4,
4,
4,
4,
2,
3,
4,
5,
2,
3,
2,
3,
3,
3,
3,
3,
4,
3,
2,
4,
2,
4,
3,
6,
6,
2,
2,
7,
4,
6,
3,
5,
3,
4,
3,
2,
2,
2,
2,
3,
3,
2,
3,
4,
5,
2,
4,
4,
2,
4,
2,
5,
6,
5,
5,
2,
3,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
5,
4,
4,
4,
3,
1,
2,
3,
3,
3,
4,
4,
4,
4,
3,
2,
3,
3,
3,
4,
4,
4,
3,
3,
3,
4,
2,
6,
4,
3,
4,
3,
4,
6,
6,
4,
3,
3,
6,
4,
2,
4,
2,
2,
2,
4,
4,
3,
4,
4,
5,
4,
6,
4,
2,
2,
4,
2,
3,
4,
3,
4,
2,
2,
3,
4,
2,
3,
4,
4,
8,
4,
4,
2,
2,
3,
3,
2,
2,
4,
2,
2,
3,
3,
3,
4,
3,
5,
2,
4,
3,
2,
4,
4,
3,
4,
3,
5,
4,
3,
4,
4,
4,
4,
4,
4,
6,
2,
4,
4,
4,
2,
2,
5,
2,
2,
4,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
3,
6,
3,
2,
3,
4,
4,
4,
4,
4,
6,
6,
4,
2,
4,
4,
3,
4,
4,
3,
3,
4,
3,
9,
3,
2,
2,
2,
3,
4,
4,
1,
3,
3,
4,
4,
7,
4,
4,
2,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
4,
4,
3,
3,
5,
4,
3,
3,
4,
2,
3,
3,
2,
4,
2,
4,
3,
4,
5,
2,
2,
3,
3,
2,
2,
4,
5,
2,
3,
2,
2,
2,
4,
2,
2,
3,
3,
4,
3,
3,
3,
2,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
6,
5,
2,
1,
2,
3,
3,
2,
4,
3,
3,
4,
2,
2,
5,
4,
2,
4,
2,
2,
3,
4,
4,
3,
4,
3,
3,
4,
4,
2,
4,
2,
4,
7,
3,
1,
4,
3,
3,
4,
4,
5,
2,
3,
2,
2,
3,
3,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
2,
2,
2,
3,
2,
4,
4,
3,
4,
3,
3,
2,
2,
2,
1,
3,
4,
4,
2,
4,
3,
2,
4,
3,
3,
4,
3,
3,
4,
4,
5,
2,
3,
3,
3,
2,
2,
3,
3,
4,
2,
3,
3,
4,
3,
6,
5,
6,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
3,
4,
5,
4,
4,
4,
3,
3,
2,
2,
2,
3,
3,
4,
3,
4,
2,
3,
4,
2,
4,
3,
2,
4,
5,
5,
4,
4,
2,
2,
4,
2,
4,
4,
4,
4,
3,
3,
4,
3,
3,
3,
3,
1,
2,
2,
1,
2,
3,
2,
2,
4,
4,
5,
4,
3,
2,
4,
4,
3,
3,
2,
2,
4,
3,
4,
3,
4,
6,
1,
1,
2,
3,
3,
3,
3,
3,
3,
2,
6,
3,
4,
4,
5,
3,
4,
4,
3,
4,
5,
2,
2,
2,
4,
2,
2,
2,
2,
3,
4,
4,
4,
3,
2,
3,
3,
4,
5,
4,
4,
4,
4,
4,
2,
5,
7,
6,
3,
2,
3,
3,
2,
4,
2,
2,
2,
2,
4,
3,
3,
2,
4,
3,
2,
3,
3,
2,
4,
3,
2,
2,
3,
3,
2,
2,
4,
3,
4,
2,
4,
2,
2,
2,
6,
2,
3,
3,
5,
3,
2,
2,
3,
4,
4,
3,
3,
3,
3,
4,
4,
4,
4,
1,
1,
3,
3,
2,
2,
4,
3,
2,
2,
3,
5,
4,
4,
2,
4,
4,
4,
3,
2,
1,
4,
4,
6,
1,
4,
2,
2,
3,
2,
3,
4,
4,
2,
4,
4,
3,
2,
5,
2,
4,
3,
4,
4,
5,
5,
5,
2,
5,
3,
3,
3,
2,
2,
3,
4,
2,
4,
4,
3,
2,
2,
2,
4,
4,
1,
4,
4,
2,
2,
2,
2,
5,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
3,
1,
3,
3,
5,
7,
5,
4,
7,
2,
2,
3,
4,
2,
2,
7,
4,
4,
4,
2,
2,
3,
3,
5,
4,
2,
2,
2,
1,
4,
2,
2,
2,
1,
2,
4,
2,
2,
4,
3,
4,
2,
5,
4,
6,
6,
2,
2,
4,
3,
4,
3,
5,
3,
3,
3,
3,
6,
6,
5,
4,
3,
4,
3,
3,
3,
3,
6,
4,
2,
2,
2,
4,
4,
6,
8,
2,
2,
2,
3,
2,
4,
4,
2,
3,
4,
4,
4,
2,
5,
3,
2,
4,
3,
3,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
3,
4,
2,
5,
5,
3,
3,
4,
2,
3,
2,
2,
3,
3,
4,
3,
2,
4,
4,
4,
5,
4,
3,
7,
4,
4,
5,
4,
4,
4,
4,
4,
4,
5,
4,
3,
4,
2,
3,
3,
2,
3,
2,
4,
2,
4,
3,
2,
3,
4,
2,
1,
3,
3,
3,
4,
5,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
4,
4,
3,
2,
2,
4,
2,
2,
4,
3,
4,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
4,
4,
5,
3,
1,
4,
3,
3,
4,
4,
4,
3,
3,
2,
2,
3,
3,
3,
3,
3,
4,
4,
4,
2,
3,
4,
4,
5,
2,
3,
2,
1,
2,
2,
3,
2,
2,
4,
5,
3,
1,
1,
1,
4,
3,
3,
2,
4,
1,
5,
3,
1,
3,
3,
2,
3,
2,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
4,
5,
4,
4,
2,
2,
3,
5,
5,
4,
3,
2,
3,
5,
4,
2,
2,
2,
3,
3,
2,
4,
4,
4,
3,
3,
3,
4,
4,
3,
3,
4,
4,
4,
2,
3,
6,
2,
4,
6,
5,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
4,
1,
2,
3,
2,
2,
4,
4,
2,
2,
3,
3,
5,
5,
5,
2,
3,
2,
4,
4,
3,
3,
4,
3,
3,
3,
3,
3,
2,
5,
2,
2,
4,
4,
3,
2,
4,
2,
4,
1,
2,
2,
2,
2,
3,
3,
5,
5,
2,
4,
4,
4,
4,
7,
5,
3,
2,
4,
3,
2,
4,
5,
3,
6,
2,
3,
4,
4,
5,
4,
3,
4,
4,
4,
2,
2,
2,
2,
3,
4,
4,
1,
2,
4,
4,
2,
2,
3,
4,
4,
1,
3,
6,
2,
3,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
5,
3,
4,
3,
2,
3,
4,
3,
6,
3,
3,
2,
5,
6,
4,
4,
3,
2,
2,
4,
3,
3,
3,
3,
3,
2,
2,
6,
4,
7,
2,
4,
4,
4,
2,
4,
2,
2,
3,
5,
4,
6,
3,
4,
2,
2,
3,
2,
4,
3,
3,
3,
4,
4,
2,
2,
3,
3,
3,
2,
2,
3,
4,
4,
4,
4,
4,
1,
3,
5,
3,
4,
3,
4,
4,
3,
4,
3,
5,
2,
3,
3,
3,
2,
3,
5,
3,
2,
3,
3,
1,
3,
3,
3,
4,
4,
8,
1,
5,
5,
6,
3,
3,
1,
6,
3,
2,
3,
2,
4,
3,
6,
2,
2,
2,
4,
4,
4,
4,
2,
3,
5,
8,
6,
6,
4,
4,
2,
2,
2,
1,
2,
3,
4,
4,
4,
4,
3,
4,
5,
4,
3,
1,
3,
2,
2,
3,
2,
3,
4,
1,
2,
2,
4,
4,
5,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
4,
6,
3,
2,
7,
4,
4,
4,
2,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
4,
3,
2,
6,
6,
3,
5,
3,
4,
2,
4,
8,
4,
5,
2,
2,
3,
4,
5,
2,
3,
2,
4,
2,
3,
3,
8,
4,
6,
4,
3,
3,
4,
3,
3,
4,
3,
2,
2,
3,
4,
4,
2,
3,
2,
3,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
6,
4,
4,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
9,
5,
2,
4,
4,
3,
2,
4,
2,
3,
3,
2,
5,
5,
3,
4,
4,
5,
5,
2,
4,
4,
4,
4,
2,
4,
2,
2,
4,
3,
2,
5,
4,
4,
2,
2,
3,
3,
3,
4,
3,
2,
3,
3,
4,
3,
4,
6,
4,
4,
3,
3,
3,
4,
3,
8,
7,
4,
4,
4,
4,
4,
4,
2,
4,
2,
5,
2,
3,
4,
3,
3,
3,
2,
4,
4,
4,
3,
2,
2,
4,
3,
7,
4,
4,
3,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
5,
2,
3,
2,
4,
2,
3,
3,
4,
3,
5,
4,
4,
4,
4,
3,
4,
5,
2,
2,
2,
1,
3,
3,
2,
4,
5,
5,
3,
5,
2,
6,
2,
2,
3,
3,
4,
4,
2,
4,
2,
4,
4,
2,
3,
4,
3,
3,
3,
4,
2,
2,
2,
7,
3,
3,
3,
5,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
4,
3,
4,
3,
3,
2,
4,
3,
4,
2,
6,
6,
7,
3,
4,
3,
2,
2,
4,
2,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
2,
4,
4,
5,
6,
5,
2,
3,
3,
2,
2,
4,
2,
3,
4,
4,
4,
3,
4,
4,
1,
4,
4,
4,
7,
3,
7,
7,
3,
3,
2,
2,
1,
2,
2,
3,
2,
4,
2,
3,
3,
4,
4,
4,
4,
3,
3,
4,
2,
4,
4,
3,
5,
4,
2,
2,
3,
3,
4,
5,
4,
4,
3,
3,
2,
3,
4,
4,
4,
4,
4,
3,
2,
2,
4,
4,
4,
3,
2,
1,
3,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
5,
2,
2,
5,
5,
3,
1,
2,
3,
1,
4,
6,
6,
3,
7,
4,
4,
4,
4,
2,
2,
3,
2,
3,
2,
4,
2,
3,
4,
4,
3,
2,
3,
8,
8,
4,
2,
4,
3,
4,
4,
4,
4,
3,
3,
4,
4,
3,
2,
3,
2,
3,
2,
6,
6,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
4,
3,
3,
2,
2,
2,
5,
3,
2,
3,
2,
3,
2,
4,
4,
2,
4,
3,
4,
5,
8,
4,
2,
2,
2,
4,
4,
3,
4,
4,
4,
3,
2,
2,
2,
3,
3,
3,
3,
4,
5,
6,
4,
4,
4,
3,
3,
3,
4,
5,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
2,
5,
2,
3,
4,
2,
2,
2,
4,
6,
3,
4,
4,
4,
4,
2,
2,
3,
4,
1,
3,
4,
2,
2,
2,
4,
2,
4,
2,
4,
4,
5,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
5,
3,
7,
4,
4,
5,
2,
3,
2,
2,
4,
2,
3,
4,
4,
5,
3,
7,
6,
6,
3,
4,
4,
4,
4,
2,
5,
3,
3,
4,
6,
5,
5,
3,
4,
4,
7,
2,
4,
4,
4,
3,
3,
3,
3,
3,
4,
6,
3,
3,
2,
2,
4,
3,
3,
4,
3,
5,
8,
3,
3,
3,
3,
3,
3,
2,
3,
1,
4,
3,
5,
3,
3,
2,
2,
2,
2,
2,
5,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
6,
4,
6,
6,
4,
3,
4,
4,
4,
2,
2,
2,
4,
5,
4,
4,
3,
2,
2,
2,
3,
2,
2,
3,
3,
2,
2,
4,
5,
5,
4,
4,
2,
4,
4,
7,
3,
4,
3,
3,
3,
3,
2,
4,
3,
2,
1,
2,
2,
6,
6,
3,
6,
6,
5,
7,
2,
3,
4,
4,
2,
3,
2,
2,
8,
4,
3,
3,
3,
4,
4,
4,
4,
8,
2,
4,
2,
4,
3,
2,
2,
2,
1,
4,
4,
1,
3,
3,
4,
5,
4,
5,
2,
2,
3,
3,
4,
2,
2,
2,
3,
2,
2,
3,
2,
3,
2,
2,
2,
3,
7,
4,
2,
2,
4,
3,
2,
4,
2,
8,
4,
4,
2,
9,
2,
3,
2,
3,
2,
4,
4,
2,
2,
3,
3,
5,
2,
2,
4,
4,
5,
4,
5,
6,
3,
3,
5,
2,
2,
3,
4,
4,
1,
3,
2,
2,
3,
4,
3,
2,
2,
2,
4,
2,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
1,
3,
1,
2,
4,
4,
4,
4,
3,
3,
4,
2,
4,
4,
4,
4,
3,
2,
2,
4,
2,
4,
2,
3,
3,
3,
5,
7,
5,
3,
2,
2,
4,
3,
3,
3,
4,
4,
3,
3,
6,
2,
3,
3,
4,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
1,
3,
2,
4,
2,
2,
4,
2,
2,
2,
4,
3,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
6,
3,
4,
4,
4,
3,
3,
2,
3,
4,
3,
3,
3,
3,
4,
6,
6,
4,
2,
3,
6,
4,
4,
4,
4,
2,
4,
4,
4,
6,
4,
7,
3,
3,
4,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
2,
4,
4,
2,
3,
4,
4,
5,
2,
3,
2,
2,
4,
4,
4,
2,
2,
4,
4,
3,
4,
2,
3,
3,
4,
3,
3,
2,
2,
4,
3,
1,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
5,
7,
7,
4,
4,
2,
4,
3,
2,
3,
4,
5,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
2,
7,
3,
4,
4,
2,
4,
4,
3,
6,
4,
2,
2,
4,
2,
2,
3,
3,
3,
4,
4,
4,
3,
3,
3,
3,
2,
3,
3,
4,
4,
2,
2,
4,
4,
4,
4,
3,
3,
4,
3,
4,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
2,
3,
4,
4,
3,
3,
1,
3,
2,
2,
6,
3,
4,
3,
5,
3,
4,
3,
4,
4,
5,
3,
2,
7,
6,
2,
4,
4,
2,
3,
2,
3,
4,
3,
5,
4,
4,
4,
2,
3,
2,
4,
4,
3,
4,
4,
7,
4,
8,
4,
6,
6,
6,
2,
2,
4,
4,
8,
2,
2,
2,
3,
3,
1,
3,
4,
4,
3,
3,
4,
2,
4,
2,
3,
4,
2,
3,
2,
4,
2,
2,
4,
4,
6,
3,
2,
4,
4,
3,
2,
2,
5,
2,
2,
3,
4,
6,
4,
3,
3,
3,
3,
2,
2,
1,
2,
2,
5,
2,
3,
4,
3,
4,
2,
3,
2,
4,
3,
3,
3,
2,
4,
4,
3,
3,
3,
4,
4,
4,
4,
3,
3,
5,
5,
4,
2,
4,
4,
7,
3,
4,
2,
2,
2,
4,
5,
4,
5,
6,
3,
6,
3,
5,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
5,
3,
3,
3,
4,
4,
4,
4,
5,
4,
4,
4,
3,
4,
6,
3,
4,
4,
4,
4,
3,
4,
3,
7,
7,
3,
4,
5,
4,
4,
4,
2,
2,
2,
4,
3,
4,
4,
5,
4,
4,
5,
3,
2,
2,
5,
3,
2,
2,
5,
4,
2,
2,
4,
3,
4,
4,
3,
5,
3,
2,
4,
4,
3,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
6,
2,
2,
2,
3,
4,
3,
2,
2,
2,
3,
5,
4,
4,
4,
3,
3,
4,
3,
2,
2,
4,
3,
5,
3,
4,
2,
4,
4,
4,
4,
3,
2,
4,
2,
4,
4,
4,
3,
3,
3,
2,
7,
4,
2,
2,
2,
2,
2,
3,
5,
6,
5,
4,
4,
5,
5,
2,
4,
3,
3,
3,
4,
4,
3,
2,
2,
4,
4,
4,
3,
4,
4,
4,
2,
3,
2,
3,
7,
3,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
5,
4,
2,
4,
8,
4,
4,
5,
2,
4,
4,
2,
2,
5,
2,
2,
3,
5,
4,
4,
4,
2,
4,
2,
4,
2,
5,
6,
3,
2,
4,
4,
3,
6,
4,
4,
4,
3,
6,
3,
5,
4,
3,
4,
4,
4,
4,
2,
2,
5,
2,
3,
3,
3,
4,
2,
3,
6,
3,
3,
3,
5,
4,
5,
4,
2,
4,
6,
6,
4,
5,
4,
2,
4,
2,
4,
4,
6,
3,
3,
2,
3,
4,
3,
3,
4,
2,
2,
2,
2,
3,
3,
4,
4,
2,
2,
4,
4,
4,
2,
3,
2,
2,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
3,
4,
2,
2,
4,
4,
3,
5,
8,
7,
3,
2,
3,
4,
5,
2,
2,
3,
3,
2,
7,
7,
7,
5,
2,
3,
3,
4,
2,
2,
3,
3,
3,
4,
7,
4,
4,
4,
2,
2,
4,
2,
3,
2,
2,
4,
4,
5,
5,
2,
3,
3,
4,
5,
3,
6,
3,
2,
4,
2,
2,
3,
4,
4,
2,
2,
4,
4,
2,
2,
3,
5,
7,
3,
2,
5,
4,
4,
3,
7,
3,
4,
5,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
6,
2,
5,
2,
2,
3,
3,
3,
4,
5,
4,
4,
4,
4,
4,
2,
3,
4,
5,
2,
3,
3,
1,
2,
3,
4,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
1,
2,
3,
3,
3,
2,
8,
3,
2,
3,
2,
6,
7,
7,
2,
4,
3,
6,
3,
4,
4,
3,
4,
3,
3,
5,
6,
4,
3,
3,
3,
6,
4,
4,
2,
4,
2,
3,
4,
3,
8,
6,
4,
3,
3,
3,
4,
3,
2,
3,
2,
3,
2,
2,
2,
2,
4,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
2,
4,
3,
5,
4,
4,
3,
3,
5,
4,
3,
3,
2,
3,
3,
3,
3,
2,
4,
3,
4,
2,
3,
4,
2,
5,
5,
3,
5,
4,
4,
4,
5,
6,
2,
3,
7,
4,
3,
3,
2,
2,
3,
4,
2,
4,
4,
4,
4,
3,
3,
6,
10,
3,
3,
4,
4,
5,
5,
4,
3,
3,
4,
4,
4,
3,
4,
3,
5,
2,
3,
3,
3,
2,
2,
3,
3,
2,
2,
3,
2,
3,
3,
1,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
4,
3,
2,
3,
4,
4,
3,
4,
3,
4,
7,
4,
3,
5,
3,
3,
4,
2,
2,
1,
1,
4,
3,
3,
3,
1,
4,
8,
4,
4,
4,
4,
3,
2,
4,
2,
2,
2,
2,
3,
5,
4,
3,
5,
3,
4,
4,
3,
3,
4,
2,
2,
4,
4,
6,
2,
2,
5,
2,
2,
2,
3,
3,
3,
5,
3,
3,
3,
4,
3,
8,
6,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
4,
2,
4,
2,
2,
2,
1,
4,
3,
3,
4,
2,
4,
4,
5,
2,
4,
5,
3,
3,
3,
4,
3,
3,
5,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
3,
3,
3,
5,
2,
3,
4,
4,
4,
4,
2,
3,
3,
4,
5,
5,
4,
4,
4,
4,
3,
2,
5,
2,
2,
3,
2,
4,
2,
2,
2,
5,
3,
4,
5,
2,
2,
8,
3,
3,
2,
4,
4,
6,
2,
2,
2,
3,
3,
3,
4,
3,
3,
3,
4,
4,
3,
3,
3,
3,
4,
1,
1,
4,
5,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
3,
2,
4,
3,
3,
3,
3,
2,
7,
2,
3,
3,
3,
2,
4,
4,
4,
3,
3,
3,
3,
5,
5,
3,
4,
3,
3,
5,
4,
7,
4,
3,
2,
4,
4,
4,
4,
4,
3,
3,
4,
5,
3,
5,
2,
5,
5,
2,
2,
5,
4,
4,
4,
2,
4,
4,
5,
3,
4,
4,
4,
3,
4,
4,
5,
4,
4,
7,
2,
4,
2,
2,
3,
2,
3,
3,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
2,
4,
3,
3,
4,
3,
6,
3,
4,
1,
1,
3,
2,
2,
4,
3,
4,
2,
2,
3,
2,
4,
4,
3,
7,
3,
4,
4,
2,
2,
2,
3,
2,
2,
3,
3,
9,
3,
3,
2,
2,
3,
2,
3,
3,
4,
1,
2,
2,
2,
5,
3,
3,
3,
4,
4,
3,
3,
2,
1,
8,
3,
3,
5,
4,
4,
3,
3,
6,
3,
4,
2,
5,
4,
2,
3,
4,
2,
2,
3,
2,
2,
3,
4,
4,
2,
2,
2,
2,
3,
3,
2,
3,
3,
4,
4,
4,
3,
3,
3,
3,
2,
6,
3,
4,
6,
3,
3,
4,
4,
4,
2,
3,
3,
2,
4,
7,
2,
2,
2,
5,
3,
4,
3,
2,
2,
2,
3,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
5,
2,
3,
3,
6,
4,
3,
3,
5,
2,
4,
3,
4,
6,
2,
2,
2,
3,
2,
4,
3,
5,
4,
4,
3,
2,
2,
2,
4,
4,
4,
4,
4,
3,
6,
4,
4,
5,
4,
2,
2,
3,
3,
3,
4,
4,
2,
3,
4,
4,
3,
4,
2,
4,
4,
2,
2,
5,
2,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
3,
3,
2,
3,
4,
2,
4,
3,
4,
4,
4,
3,
4,
3,
4,
5,
3,
2,
2,
4,
5,
4,
3,
3,
4,
4,
4,
2,
2,
8,
4,
4,
4,
4,
3,
3,
3,
4,
4,
5,
4,
3,
3,
3,
3,
3,
3,
5,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
8,
4,
4,
3,
6,
4,
3,
1,
2,
2,
3,
2,
4,
2,
4,
4,
4,
4,
2,
2,
2,
6,
7,
3,
5,
2,
3,
2,
2,
2,
2,
3,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
2,
2,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
4,
3,
3,
3,
7,
7,
3,
4,
4,
5,
1,
4,
2,
4,
2,
2,
4,
4,
4,
2,
2,
4,
4,
3,
1,
2,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
2,
4,
2,
4,
2,
4,
4,
3,
3,
4,
2,
2,
4,
4,
3,
2,
2,
2,
6,
3,
3,
2,
3,
5,
4,
3,
2,
4,
4,
3,
2,
2,
3,
3,
4,
4,
2,
2,
2,
2,
4,
2,
4,
2,
2,
3,
3,
4,
2,
3,
2,
2,
6,
3,
2,
4,
2,
3,
3,
3,
2,
4,
2,
3,
3,
3,
2,
4,
4,
5,
4,
4,
2,
3,
2,
4,
4,
7,
4,
2,
4,
2,
2,
3,
3,
2,
2,
4,
5,
3,
4,
2,
2,
3,
3,
2,
6,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
2,
2,
2,
2,
4,
2,
4,
4,
4,
2,
3,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
5,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
4,
2,
4,
2,
4,
4,
2,
4,
3,
4,
2,
6,
3,
2,
4,
5,
5,
3,
3,
2,
3,
5,
5,
2,
2,
2,
3,
3,
4,
2,
2,
4,
4,
2,
2,
2,
3,
4,
3,
2,
8,
4,
2,
2,
2,
3,
4,
2,
4,
4,
2,
3,
2,
2,
4,
4,
2,
2,
3,
2,
4,
3,
2,
2,
2,
2,
3,
4,
4,
2,
4,
4,
1,
2,
4,
4,
4,
4,
3,
4,
4,
2,
3,
7,
2,
2,
4,
4,
4,
1,
4,
4,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
4,
3,
6,
2,
3,
2,
2,
6,
6,
4,
2,
3,
3,
2,
2,
2,
2,
5,
4,
2,
2,
6,
3,
3,
3,
3,
4,
2,
3,
4,
4,
4,
3,
3,
2,
2,
3,
2,
3,
5,
3,
4,
3,
4,
6,
4,
4,
2,
4,
3,
4,
4,
4,
4,
3,
4,
4,
1,
2,
3,
5,
6,
1,
4,
6,
2,
4,
4,
5,
4,
4,
4,
2,
7,
6,
4,
3,
4,
4,
4,
6,
6,
5,
2,
4,
2,
3,
2,
2,
2,
2,
4,
4,
2,
5,
5,
4,
3,
4,
4,
3,
4,
4,
2,
7,
2,
5,
2,
8,
4,
4,
3,
4,
4,
2,
2,
5,
2,
1,
2,
2,
3,
4,
4,
5,
2,
2,
3,
4,
3,
3,
3,
3,
4,
4,
1,
4,
4,
4,
4,
3,
4,
4,
2,
2,
3,
4,
4,
2,
1,
2,
3,
2,
5,
4,
4,
5,
2,
2,
2,
7,
7,
3,
2,
2,
4,
6,
2,
4,
5,
4,
4,
3,
2,
4,
6,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
5,
3,
2,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
3,
2,
2,
3,
4,
5,
5,
4,
1,
4,
6,
4,
3,
3,
5,
2,
2,
2,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
5,
2,
5,
4,
4,
4,
2,
4,
4,
4,
3,
2,
4,
5,
4,
5,
2,
1,
2,
3,
3,
3,
3,
3,
4,
4,
5,
5,
5,
5,
7,
3,
2,
4,
2,
4,
4,
2,
4,
4,
6,
6,
2,
6,
6,
4,
2,
1,
3,
3,
3,
3,
3,
3,
3,
3,
5,
6,
7,
3,
3,
4,
4,
2,
4,
5,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
3,
3,
5,
1,
2,
3,
6,
4,
4,
4,
2,
6,
7,
2,
2,
8,
5,
4,
8,
8,
3,
6,
3,
6,
2,
3,
2,
2,
4,
5,
3,
4,
2,
2,
2,
4,
4,
2,
3,
3,
3,
2,
4,
3,
4,
2,
2,
5,
3,
4,
8,
2,
6,
2,
3,
3,
2,
2,
2,
2,
3,
4,
4,
2,
5,
6,
4,
4,
2,
4,
4,
4,
3,
3,
2,
3,
2,
4,
2,
2,
2,
4,
4,
5,
6,
4,
4,
3,
3,
4,
3,
4,
2,
4,
2,
2,
2,
2,
2,
3,
6,
2,
3,
4,
4,
2,
3,
4,
2,
2,
3,
2,
2,
2,
2,
4,
4,
3,
2,
3,
3,
4,
4,
4,
7,
3,
2,
2,
4,
2,
3,
3,
4,
3,
2,
2,
8,
3,
6,
3,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
3,
4,
4,
3,
4,
2,
3,
3,
4,
4,
4,
4,
5,
5,
3,
1,
2,
4,
3,
2,
2,
2,
2,
3,
4,
4,
8,
3,
3,
5,
3,
4,
4,
3,
4,
5,
5,
2,
2,
2,
3,
2,
4,
4,
3,
2,
2,
2,
2,
4,
2,
2,
4,
4,
4,
3,
2,
6,
2,
6,
6,
4,
4,
3,
4,
6,
3,
1,
2,
4,
1,
4,
3,
2,
3,
5,
3,
2,
4,
2,
4,
4,
4,
3,
2,
4,
4,
6,
2,
4,
1,
4,
5,
2,
4,
4,
4,
4,
4,
3,
4,
4,
5,
6,
4,
6,
2,
3,
3,
4,
4,
1,
1,
4,
6,
3,
3,
2,
5,
3,
3,
3,
3,
4,
3,
4,
5,
5,
2,
2,
2,
3,
3,
6,
1,
2,
3,
2,
3,
3,
4,
4,
4,
4,
4,
4,
3,
3,
4,
6,
2,
4,
4,
4,
2,
3,
3,
3,
3,
2,
2,
2,
3,
4,
5,
4,
2,
2,
3,
4,
4,
2,
3,
6,
4,
4,
2,
2,
2,
2,
2,
2,
4,
5,
4,
1,
2,
5,
3,
4,
1,
4,
6,
2,
3,
2,
2,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
1,
3,
3,
4,
4,
4,
6,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
3,
3,
2,
5,
2,
4,
4,
3,
4,
5,
4,
4,
2,
4,
4,
3,
3,
4,
2,
4,
2,
4,
5,
3,
3,
2,
4,
2,
3,
4,
3,
3,
4,
3,
4,
4,
2,
7,
3,
4,
4,
2,
2,
3,
6,
4,
3,
2,
3,
2,
2,
2,
3,
2,
3,
2,
4,
3,
4,
3,
3,
3,
3,
3,
3,
4,
3,
3,
2,
2,
1,
4,
2,
2,
7,
5,
4,
3,
4,
5,
4,
2,
3,
3,
2,
3,
2,
4,
3,
2,
3,
3,
5,
3,
3,
4,
4,
5,
5,
4,
4,
4,
3,
3,
3,
5,
5,
4,
3,
4,
4,
4,
4,
4,
3,
2,
3,
3,
1,
2,
2,
4,
3,
3,
4,
4,
2,
2,
3,
3,
4,
4,
4,
2,
2,
6,
3,
3,
2,
2,
2,
5,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
7,
3,
3,
3,
5,
3,
2,
4,
4,
2,
2,
4,
4,
4,
4,
6,
4,
4,
2,
4,
2,
3,
4,
3,
3,
2,
4,
4,
4,
2,
3,
4,
4,
4,
4,
4,
2,
2,
8,
5,
2,
4,
2,
4,
4,
3,
3,
4,
6,
3,
3,
3,
5,
3,
7,
3,
5,
4,
3,
2,
2,
2,
3,
2,
2,
6,
3,
6,
7,
7,
3,
1,
4,
3,
5,
3,
5,
4,
3,
5,
4,
4,
2,
2,
2,
6,
3,
2,
4,
3,
3,
2,
2,
2,
3,
3,
2,
3,
3,
2,
2,
3,
4,
2,
2,
2,
4,
3,
2,
4,
4,
4,
4,
3,
1,
4,
4,
4,
4,
2,
3,
2,
4,
5,
4,
3,
3,
2,
3,
4,
4,
6,
3,
4,
3,
3,
4,
2,
2,
2,
3,
3,
3,
2,
3,
5,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
4,
3,
2,
2,
5,
2,
4,
6,
3,
3,
3,
3,
2,
3,
4,
4,
3,
3,
4,
3,
4,
3,
4,
2,
4,
4,
3,
3,
4,
4,
2,
2,
4,
4,
4,
4,
4,
3,
3,
4,
3,
3,
3,
2,
2,
2,
4,
3,
3,
4,
2,
3,
4,
3,
4,
3,
3,
3,
4,
3,
3,
3,
2,
7,
2,
2,
5,
1,
2,
3,
4,
4,
4,
4,
2,
2,
6,
6,
2,
4,
3,
3,
3,
4,
4,
4,
3,
4,
4,
4,
3,
7,
3,
5,
3,
3,
3,
3,
2,
4,
4,
2,
5,
2,
5,
4,
4,
4,
2,
2,
3,
3,
4,
6,
5,
4,
3,
2,
4,
2,
3,
4,
4,
4,
2,
2,
2,
2,
3,
2,
1,
3,
3,
5,
4,
4,
4,
4,
3,
5,
3,
2,
2,
5,
4,
3,
4,
5,
5,
5,
2,
4,
4,
4,
3,
4,
4,
4,
3,
2,
4,
2,
2,
4,
3,
3,
3,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
5,
3,
2,
3,
3,
3,
4,
5,
5,
2,
2,
2,
3,
3,
3,
4,
2,
3,
3,
4,
2,
4,
4,
5,
4,
4,
3,
2,
2,
4,
3,
4,
4,
3,
3,
4,
4,
5,
2,
3,
2,
8,
1,
4,
6,
4,
5,
4,
2,
3,
2,
3,
3,
3,
3,
5,
4,
4,
4,
4,
5,
3,
3,
5,
6,
4,
4,
4,
4,
3,
4,
2,
4,
4,
4,
4,
8,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
5,
2,
3,
3,
3,
4,
6,
4,
4,
2,
8,
8,
4,
3,
4,
7,
3,
2,
2,
3,
2,
2,
2,
4,
2,
2,
3,
3,
4,
6,
3,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
7,
5,
3,
4,
4,
4,
5,
2,
4,
3,
3,
6,
2,
2,
4,
7,
5,
3,
2,
4,
4,
4,
4,
5,
5,
1,
2,
3,
3,
2,
1,
3,
3,
2,
2,
4,
2,
6,
5,
4,
4,
4,
4,
3,
2,
2,
4,
2,
4,
3,
5,
4,
4,
5,
2,
4,
3,
2,
3,
5,
2,
4,
7,
2,
4,
3,
2,
4,
4,
4,
4,
2,
4,
6,
4,
4,
4,
4,
2,
3,
1,
5,
4,
3,
3,
3,
4,
4,
4,
2,
3,
2,
4,
4,
4,
4,
1,
3,
3,
4,
2,
2,
4,
4,
3,
2,
4,
4,
3,
2,
3,
2,
5,
3,
2,
4,
6,
6,
3,
2,
2,
5,
3,
2,
4,
3,
2,
4,
2,
5,
3,
4,
3,
4,
4,
4,
4,
3,
3,
4,
2,
2,
3,
2,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
5,
5,
5,
4,
4,
5,
10,
2,
5,
3,
2,
3,
2,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
3,
3,
5,
5,
7,
3,
6,
4,
4,
2,
2,
2,
3,
3,
2,
7,
4,
3,
5,
7,
2,
3,
3,
3,
3,
3,
4,
4,
2,
4,
2,
4,
2,
3,
3,
2,
4,
4,
2,
2,
2,
2,
2,
5,
5,
3,
4,
1,
3,
6,
2,
4,
2,
3,
4,
4,
3,
4,
4,
3,
2,
4,
5,
4,
4,
2,
2,
3,
2,
6,
3,
6,
2,
2,
7,
7,
3,
5,
3,
2,
2,
3,
3,
3,
4,
5,
3,
3,
2,
2,
4,
4,
4,
4,
4,
2,
4,
5,
4,
4,
3,
3,
3,
2,
4,
3,
4,
2,
3,
2,
3,
3,
3,
2,
2,
4,
4,
3,
5,
2,
4,
4,
4,
2,
3,
3,
5,
2,
2,
1,
5,
3,
3,
6,
3,
3,
3,
4,
3,
4,
7,
4,
4,
2,
2,
2,
3,
3,
3,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
5,
6,
4,
5,
2,
4,
4,
3,
3,
4,
4,
4,
4,
4,
2,
3,
2,
4,
3,
4,
4,
4,
3,
2,
2,
3,
2,
3,
3,
4,
4,
3,
4,
2,
3,
3,
3,
3,
3,
3,
4,
6,
4,
3,
3,
7,
2,
7,
4,
4,
2,
4,
2,
6,
5,
3,
2,
2,
4,
3,
2,
4,
3,
2,
6,
2,
4,
2,
5,
4,
3,
4,
4,
4,
2,
4,
2,
3,
4,
4,
4,
4,
3,
5,
4,
3,
2,
3,
4,
4,
4,
4,
2,
3,
3,
3,
4,
4,
3,
4,
5,
4,
3,
3,
7,
3,
5,
3,
3,
3,
3,
4,
3,
5,
4,
3,
3,
7,
4,
2,
4,
3,
2,
5,
3,
2,
4,
6,
2,
4,
3,
4,
4,
4,
5,
4,
4,
2,
4,
3,
2,
4,
4,
4,
4,
4,
8,
4,
2,
2,
3,
2,
3,
3,
1,
4,
4,
2,
4,
7,
4,
3,
6,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
2,
4,
4,
4,
4,
4,
3,
3,
3,
5,
4,
4,
2,
2,
2,
3,
2,
3,
4,
2,
3,
4,
4,
4,
4,
2,
2,
2,
6,
2,
1,
2,
4,
4,
6,
2,
5,
7,
5,
3,
3,
3,
3,
3,
4,
3,
3,
4,
1,
4,
1,
5,
2,
2,
2,
2,
2,
2,
5,
6,
3,
4,
4,
2,
4,
4,
3,
2,
2,
2,
4,
2,
2,
4,
2,
4,
2,
3,
4,
5,
5,
2,
2,
2,
4,
3,
4,
3,
2,
7,
3,
5,
4,
4,
4,
4,
7,
3,
4,
3,
4,
4,
2,
2,
2,
3,
4,
4,
5,
4,
2,
4,
4,
5,
4,
4,
3,
2,
3,
3,
4,
4,
2,
3,
3,
4,
3,
4,
4,
4,
3,
3,
2,
3,
3,
3,
2,
5,
5,
2,
4,
4,
2,
2,
2,
2,
2,
2,
4,
2,
2,
1,
3,
3,
4,
5,
3,
6,
2,
3,
2,
4,
4,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
5,
4,
4,
4,
2,
4,
4,
7,
4,
4,
2,
2,
2,
2,
7,
6,
4,
1,
2,
3,
4,
3,
4,
4,
4,
3,
4,
3,
4,
4,
4,
4,
4,
3,
6,
3,
2,
4,
4,
5,
5,
4,
4,
4,
4,
4,
2,
5,
3,
3,
4,
3,
3,
3,
4,
4,
3,
4,
5,
4,
5,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
4,
2,
4,
4,
2,
2,
5,
6,
3,
3,
3,
5,
2,
2,
5,
3,
4,
2,
4,
3,
3,
3,
4,
4,
4,
6,
6,
4,
4,
4,
6,
3,
3,
2,
2,
4,
4,
3,
2,
5,
3,
4,
2,
4,
5,
3,
5,
3,
4,
4,
4,
4,
3,
4,
1,
4,
7,
4,
4,
2,
4,
4,
4,
5,
3,
3,
2,
4,
2,
1,
2,
6,
2,
2,
2,
4,
4,
5,
4,
4,
4,
4,
5,
6,
3,
3,
3,
3,
4,
4,
4,
3,
5,
4,
4,
2,
3,
2,
7,
3,
2,
3,
3,
4,
2,
2,
2,
4,
1,
4,
2,
2,
2,
6,
2,
2,
2,
6,
4,
3,
4,
4,
4,
4,
3,
3,
2,
6,
3,
4,
4,
3,
2,
4,
7,
3,
5,
2,
2,
2,
2,
4,
3,
2,
3,
2,
2,
5,
3,
2,
3,
6,
3,
1,
3,
4,
4,
6,
2,
4,
4,
3,
3,
4,
2,
6,
4,
2,
5,
6,
5,
8,
4,
5,
4,
4,
5,
4,
3,
4,
4,
4,
5,
3,
3,
4,
4,
2,
2,
2,
4,
2,
4,
5,
6,
2,
2,
2,
4,
3,
3,
3,
5,
2,
3,
2,
2,
4,
3,
3,
3,
6,
3,
4,
4,
3,
2,
3,
4,
5,
4,
4,
5,
4,
4,
3,
4,
3,
5,
7,
4,
2,
2,
4,
3,
2,
4,
5,
2,
3,
2,
2,
3,
3,
3,
3,
3,
5,
2,
2,
2,
3,
4,
2,
2,
3,
2,
6,
3,
3,
3,
4,
5,
3,
6,
2,
4,
6,
3,
4,
4,
4,
4,
3,
3,
3,
2,
2,
4,
4,
3,
2,
5,
2,
2,
2,
5,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
2,
2,
3,
4,
3,
4,
2,
4,
4,
4,
2,
4,
2,
4,
4,
3,
3,
8,
3,
4,
2,
3,
2,
2,
2,
3,
3,
2,
3,
4,
3,
3,
8,
2,
3,
3,
4,
3,
4,
7,
2,
4,
4,
2,
3,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
6,
2,
2,
5,
5,
3,
2,
3,
3,
2,
2,
5,
4,
2,
4,
5,
4,
4,
3,
3,
3,
4,
3,
4,
2,
4,
2,
6,
2,
4,
4,
4,
4,
4,
5,
4,
3,
2,
3,
4,
4,
5,
5,
2,
4,
3,
4,
2,
3,
3,
3,
5,
4,
6,
4,
2,
2,
6,
3,
4,
5,
3,
3,
4,
4,
4,
4,
5,
3,
3,
5,
3,
2,
2,
3,
3,
4,
3,
6,
5,
2,
4,
2,
2,
2,
4,
4,
5,
5,
4,
2,
2,
3,
3,
3,
3,
2,
3,
2,
4,
2,
2,
2,
2,
3,
4,
5,
4,
2,
6,
6,
4,
4,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
3,
6,
2,
4,
4,
3,
2,
4,
3,
5,
3,
2,
4,
4,
4,
3,
4,
2,
4,
4,
2,
2,
2,
2,
4,
4,
2,
2,
3,
4,
4,
2,
3,
4,
4,
3,
2,
6,
4,
2,
3,
3,
2,
2,
4,
3,
4,
4,
2,
2,
4,
4,
4,
5,
4,
7,
4,
4,
5,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
4,
2,
2,
3,
2,
2,
3,
2,
3,
4,
4,
4,
3,
8,
2,
5,
6,
6,
5,
4,
3,
3,
2,
4,
4,
5,
5,
5,
3,
3,
3,
3,
3,
3,
4,
8,
4,
4,
4,
8,
7,
3,
3,
4,
3,
6,
2,
2,
2,
4,
7,
4,
7,
4,
3,
2,
3,
7,
4,
3,
2,
7,
3,
3,
4,
3,
2,
3,
2,
2,
4,
2,
5,
3,
4,
5,
5,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
5,
2,
4,
2,
3,
2,
3,
2,
4,
4,
3,
3,
4,
4,
4,
5,
5,
5,
3,
3,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
5,
3,
3,
4,
5,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
6,
3,
2,
3,
2,
2,
4,
3,
6,
4,
4,
3,
2,
2,
2,
4,
3,
4,
3,
4,
3,
3,
5,
2,
2,
2,
3,
2,
2,
5,
7,
4,
3,
4,
4,
3,
5,
5,
4,
3,
2,
3,
4,
4,
4,
4,
3,
3,
4,
2,
2,
4,
4,
2,
3,
4,
2,
3,
4,
4,
3,
3,
3,
4,
4,
2,
1,
2,
3,
3,
4,
2,
4,
6,
5,
4,
4,
4,
4,
4,
4,
4,
5,
6,
2,
3,
4,
6,
3,
5,
2,
4,
6,
6,
2,
2,
4,
2,
5,
4,
3,
3,
5,
2,
2,
1,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
4,
2,
4,
4,
5,
4,
5,
2,
4,
3,
3,
4,
4,
4,
4,
2,
4,
2,
3,
3,
3,
2,
3,
3,
3,
4,
4,
6,
3,
2,
2,
2,
2,
4,
4,
4,
6,
3,
3,
4,
2,
5,
3,
3,
4,
4,
2,
2,
2,
3,
2,
4,
6,
4,
5,
6,
3,
4,
5,
5,
2,
2,
3,
3,
2,
5,
2,
2,
2,
3,
5,
5,
4,
2,
4,
4,
4,
3,
3,
4,
4,
3,
4,
4,
4,
3,
3,
4,
4,
3,
2,
2,
2,
3,
4,
4,
4,
4,
2,
4,
4,
3,
3,
4,
4,
4,
3,
2,
3,
4,
3,
3,
2,
4,
4,
4,
6,
4,
4,
2,
3,
4,
2,
3,
3,
2,
2,
3,
3,
5,
4,
2,
2,
3,
4,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
5,
3,
4,
2,
4,
3,
4,
4,
7,
4,
4,
4,
4,
4,
3,
2,
6,
4,
4,
4,
4,
3,
5,
5,
5,
3,
4,
4,
2,
2,
3,
4,
3,
4,
4,
2,
3,
4,
4,
3,
4,
4,
2,
4,
2,
6,
4,
5,
3,
3,
6,
2,
6,
3,
6,
3,
5,
5,
6,
6,
6,
2,
2,
4,
4,
4,
2,
4,
4,
2,
4,
4,
2,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
4,
4,
5,
2,
4,
5,
4,
3,
4,
4,
3,
4,
3,
5,
6,
4,
4,
3,
4,
4,
5,
4,
4,
2,
6,
2,
2,
4,
4,
4,
4,
4,
4,
10,
4,
3,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
4,
4,
4,
6,
4,
4,
4,
3,
4,
3,
2,
4,
4,
5,
2,
2,
3,
3,
2,
3,
3,
3,
3,
6,
3,
2,
4,
3,
2,
4,
4,
4,
4,
4,
6,
3,
3,
5,
5,
5,
2,
3,
3,
3,
3,
4,
3,
4,
4,
3,
3,
2,
2,
3,
7,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
6,
6,
3,
3,
4,
4,
4,
4,
5,
4,
5,
6,
5,
2,
3,
5,
4,
4,
2,
2,
2,
4,
4,
2,
2,
2,
2,
4,
3,
4,
4,
1,
4,
4,
3,
4,
4,
3,
4,
2,
4,
3,
7,
4,
3,
2,
4,
4,
5,
2,
3,
6,
4,
3,
6,
3,
3,
3,
3,
4,
5,
4,
4,
4,
3,
3,
2,
3,
6,
3,
3,
2,
4,
4,
4,
3,
3,
5,
3,
3,
4,
3,
1,
5,
3,
4,
3,
3,
2,
7,
3,
4,
2,
2,
2,
5,
7,
3,
5,
5,
2,
4,
4,
3,
2,
5,
5,
4,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
2,
3,
3,
3,
6,
5,
4,
2,
3,
3,
3,
4,
3,
4,
4,
4,
3,
2,
3,
3,
5,
6,
5,
3,
4,
4,
2,
2,
2,
3,
4,
4,
2,
3,
4,
3,
4,
3,
2,
4,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
3,
3,
3,
5,
4,
2,
2,
2,
5,
4,
4,
4,
4,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
4,
3,
4,
3,
4,
5,
6,
3,
3,
3,
2,
4,
3,
4,
2,
4,
4,
3,
6,
2,
4,
9,
2,
3,
3,
2,
3,
2,
3,
5,
5,
2,
2,
4,
4,
3,
3,
2,
2,
2,
4,
4,
4,
5,
5,
5,
5,
2,
4,
5,
4,
4,
4,
4,
3,
3,
2,
3,
7,
3,
3,
2,
2,
4,
2,
2,
4,
2,
7,
5,
3,
5,
4,
4,
4,
3,
3,
3,
5,
2,
2,
3,
6,
6,
3,
4,
4,
4,
4,
6,
4,
3,
2,
4,
2,
4,
2,
4,
5,
4,
5,
4,
3,
9,
4,
4,
4,
5,
4,
3,
4,
4,
3,
2,
3,
4,
4,
3,
2,
3,
2,
2,
2,
3,
3,
3,
3,
4,
4,
3,
3,
4,
4,
4,
3,
3,
2,
2,
2,
3,
3,
3,
2,
1,
7,
3,
6,
3,
3,
2,
2,
3,
3,
4,
2,
2,
4,
2,
7,
2,
4,
5,
3,
4,
2,
4,
6,
5,
4,
3,
3,
3,
3,
4,
3,
3,
3,
5,
3,
3,
3,
2,
3,
5,
3,
2,
4,
4,
4,
4,
4,
1,
2,
6,
4,
6,
5,
2,
6,
3,
3,
2,
2,
4,
2,
3,
4,
2,
3,
2,
3,
2,
3,
3,
4,
4,
6,
4,
2,
2,
4,
4,
4,
4,
4,
4,
3,
2,
2,
3,
3,
2,
2,
2,
2,
4,
2,
3,
4,
4,
4,
2,
2,
4,
2,
2,
2,
3,
6,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
2,
3,
5,
4,
6,
3,
5,
4,
4,
4,
3,
3,
3,
1,
3,
4,
4,
4,
5,
6,
4,
5,
3,
4,
2,
2,
2,
2,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
4,
5,
4,
5,
5,
5,
4,
5,
4,
3,
4,
3,
4,
4,
2,
4,
4,
2,
4,
4,
4,
4,
4,
5,
5,
5,
3,
2,
3,
3,
4,
2,
3,
3,
4,
3,
4,
3,
3,
4,
6,
4,
2,
4,
2,
3,
2,
4,
4,
2,
3,
2,
3,
5,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
2,
5,
3,
3,
4,
4,
3,
3,
3,
3,
2,
2,
6,
2,
2,
4,
2,
4,
3,
2,
3,
2,
4,
3,
3,
4,
4,
4,
3,
7,
3,
3,
7,
2,
3,
3,
2,
3,
3,
6,
2,
4,
2,
3,
2,
4,
7,
4,
2,
3,
4,
3,
3,
6,
3,
2,
3,
2,
4,
2,
2,
2,
2,
4,
5,
4,
3,
2,
2,
2,
2,
9,
4,
4,
2,
1,
2,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
6,
4,
3,
2,
6,
4,
2,
4,
2,
2,
5,
6,
3,
7,
4,
4,
4,
7,
3,
4,
3,
7,
2,
4,
3,
2,
2,
4,
4,
3,
2,
4,
6,
3,
4,
2,
2,
3,
4,
4,
4,
2,
4,
3,
4,
3,
3,
3,
4,
3,
2,
3,
3,
2,
2,
2,
4,
3,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
7,
7,
3,
2,
3,
3,
2,
2,
2,
3,
4,
4,
4,
3,
3,
6,
4,
3,
4,
3,
4,
4,
5,
2,
3,
3,
4,
3,
3,
2,
4,
3,
3,
2,
3,
6,
3,
4,
3,
3,
4,
3,
3,
3,
3,
2,
7,
4,
2,
2,
2,
3,
2,
4,
2,
2,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
4,
5,
2,
4,
2,
2,
4,
3,
4,
3,
3,
3,
4,
4,
3,
4,
2,
3,
3,
4,
4,
2,
3,
3,
6,
4,
4,
5,
2,
3,
4,
2,
4,
4,
4,
2,
1,
3,
2,
2,
4,
4,
4,
1,
2,
3,
4,
4,
2,
4,
2,
2,
3,
4,
2,
3,
4,
4,
2,
3,
2,
6,
3,
2,
4,
3,
3,
2,
4,
2,
3,
3,
3,
6,
2,
2,
2,
2,
2,
4,
2,
3,
3,
4,
2,
2,
3,
2,
5,
2,
2,
2,
4,
5,
2,
3,
5,
4,
5,
5,
4,
4,
2,
4,
2,
4,
4,
3,
4,
4,
4,
4,
3,
3,
4,
2,
5,
5,
2,
4,
2,
3,
2,
2,
2,
4,
3,
3,
4,
4,
2,
3,
3,
4,
4,
3,
2,
3,
2,
7,
4,
2,
3,
3,
3,
5,
4,
2,
2,
3,
3,
2,
3,
3,
6,
4,
5,
4,
4,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
3,
5,
5,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
2,
4,
2,
4,
4,
4,
4,
3,
4,
6,
4,
4,
4,
3,
2,
3,
4,
4,
3,
3,
3,
3,
2,
4,
3,
2,
4,
5,
3,
4,
2,
2,
3,
4,
4,
2,
2,
5,
3,
2,
2,
4,
2,
2,
3,
3,
3,
4,
4,
5,
4,
4,
3,
6,
3,
2,
9,
2,
3,
4,
4,
3,
2,
4,
4,
4,
4,
2,
4,
2,
3,
3,
2,
2,
3,
3,
5,
5,
4,
3,
3,
5,
5,
4,
4,
4,
3,
7,
4,
4,
4,
4,
2,
2,
2,
2,
5,
4,
4,
3,
2,
3,
3,
3,
3,
3,
4,
4,
3,
5,
3,
3,
4,
3,
3,
2,
3,
4,
1,
4,
4,
3,
5,
4,
4,
4,
2,
6,
2,
2,
2,
2,
4,
4,
5,
2,
2,
2,
4,
4,
4,
2,
4,
2,
5,
6,
6,
3,
4,
4,
4,
4,
2,
5,
4,
4,
3,
3,
2,
4,
3,
4,
4,
2,
4,
4,
6,
5,
3,
4,
3,
3,
3,
3,
3,
2,
4,
3,
4,
2,
2,
4,
4,
3,
3,
2,
2,
3,
3,
4,
2,
3,
3,
3,
5,
7,
2,
5,
5,
5,
7,
5,
2,
3,
3,
2,
2,
3,
3,
6,
4,
3,
3,
2,
4,
6,
4,
4,
5,
3,
4,
4,
3,
4,
3,
5,
6,
3,
2,
2,
2,
4,
6,
4,
6,
5,
3,
4,
3,
5,
3,
5,
4,
4,
4,
4,
4,
3,
1,
6,
4,
4,
2,
4,
2,
5,
1,
3,
4,
4,
3,
2,
2,
2,
3,
2,
3,
3,
2,
2,
2,
4,
4,
3,
7,
5,
8,
3,
5,
3,
5,
5,
4,
3,
6,
4,
2,
7,
2,
3,
3,
2,
2,
2,
3,
6,
3,
7,
2,
6,
2,
5,
3,
4,
3,
6,
4,
4,
4,
2,
7,
1,
3,
2,
2,
3,
3,
3,
3,
2,
3,
6,
4,
7,
4,
3,
2,
2,
2,
2,
2,
2,
3,
3,
2,
11,
3,
4,
4,
5,
2,
3,
3,
2,
2,
6,
2,
2,
4,
4,
2,
2,
4,
4,
4,
2,
2,
2,
2,
4,
2,
4,
5,
7,
2,
4,
2,
6,
3,
2,
4,
4,
4,
6,
3,
3,
2,
2,
2,
4,
3,
6,
4,
7,
4,
4,
4,
2,
4,
4,
2,
2,
4,
3,
4,
2,
2,
5,
5,
6,
3,
4,
3,
3,
4,
3,
4,
2,
4,
4,
4,
5,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
4,
2,
2,
2,
3,
6,
6,
4,
6,
2,
3,
2,
4,
2,
2,
2,
3,
1,
4,
4,
2,
4,
3,
4,
4,
3,
2,
3,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
2,
3,
4,
2,
2,
4,
6,
2,
2,
4,
4,
4,
4,
2,
2,
1,
2,
2,
2,
3,
4,
3,
3,
2,
2,
3,
2,
3,
3,
2,
4,
4,
3,
2,
4,
3,
2,
4,
2,
6,
2,
3,
2,
3,
4,
3,
5,
6,
4,
3,
3,
3,
4,
4,
5,
3,
2,
2,
2,
4,
3,
2,
2,
2,
3,
3,
4,
4,
3,
3,
2,
2,
2,
3,
3,
2,
4,
2,
2,
3,
1,
4,
2,
3,
3,
3,
3,
3,
5,
5,
3,
4,
2,
2,
3,
3,
3,
1,
5,
2,
2,
5,
2,
3,
3,
3,
3,
2,
4,
3,
2,
2,
3,
4,
4,
3,
3,
4,
4,
2,
3,
2,
2,
3,
3,
5,
2,
3,
4,
4,
2,
5,
2,
2,
2,
4,
3,
3,
4,
4,
5,
3,
4,
4,
6,
3,
6,
4,
2,
5,
4,
4,
4,
4,
5,
3,
4,
3,
3,
2,
3,
4,
4,
3,
3,
3,
2,
2,
5,
5,
3,
3,
6,
3,
3,
3,
4,
4,
4,
2,
4,
3,
4,
2,
5,
3,
3,
3,
4,
4,
3,
4,
3,
4,
3,
4,
4,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
4,
4,
2,
4,
3,
3,
3,
3,
2,
3,
3,
3,
7,
2,
3,
6,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
2,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
3,
4,
4,
4,
3,
2,
2,
4,
4,
4,
2,
5,
2,
2,
3,
3,
3,
5,
4,
4,
4,
4,
2,
2,
4,
3,
3,
4,
4,
6,
3,
4,
4,
4,
2,
2,
2,
3,
4,
2,
3,
2,
4,
4,
2,
5,
6,
5,
1,
3,
9,
5,
4,
4,
3,
3,
3,
3,
2,
4,
2,
4,
4,
4,
3,
4,
4,
4,
2,
4,
4,
3,
3,
4,
4,
3,
3,
5,
3,
4,
2,
2,
2,
2,
2,
5,
3,
2,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
5,
4,
1,
2,
2,
2,
3,
3,
4,
4,
4,
4,
3,
5,
4,
4,
2,
3,
3,
4,
2,
4,
4,
4,
4,
3,
3,
3,
3,
2,
3,
3,
5,
3,
3,
3,
2,
4,
4,
4,
4,
3,
3,
3,
3,
4,
2,
3,
3,
3,
7,
6,
3,
3,
3,
4,
5,
2,
2,
4,
4,
2,
2,
3,
2,
3,
4,
3,
5,
2,
2,
4,
3,
2,
4,
4,
3,
4,
4,
4,
3,
3,
4,
2,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
1,
3,
3,
3,
3,
4,
3,
2,
7,
7,
3,
4,
4,
3,
4,
5,
3,
4,
5,
2,
2,
2,
3,
4,
2,
2,
4,
4,
2,
4,
4,
4,
4,
2,
4,
4,
3,
4,
2,
4,
3,
7,
8,
3,
1,
4,
4,
5,
4,
6,
4,
2,
2,
4,
3,
2,
2,
2,
2,
1,
6,
4,
4,
4,
3,
2,
3,
2,
6,
6,
2,
3,
3,
4,
3,
4,
4,
4,
3,
3,
6,
5,
2,
2,
2,
5,
4,
5,
2,
4,
8,
4,
5,
4,
4,
3,
3,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
4,
4,
8,
3,
3,
6,
2,
3,
3,
3,
4,
4,
3,
3,
3,
3,
3,
4,
3,
4,
2,
2,
2,
2,
2,
3,
3,
3,
4,
5,
5,
4,
3,
3,
2,
3,
2,
3,
4,
4,
4,
3,
2,
4,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
3,
3,
2,
2,
3,
3,
2,
3,
4,
4,
2,
3,
5,
3,
3,
2,
5,
2,
2,
4,
3,
2,
2,
4,
2,
3,
4,
4,
3,
3,
2,
4,
4,
4,
3,
4,
2,
4,
2,
2,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
5,
5,
3,
3,
5,
4,
2,
2,
4,
4,
2,
4,
5,
3,
3,
2,
3,
5,
7,
5,
2,
2,
2,
4,
3,
7,
3,
3,
3,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
5,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
6,
5,
5,
3,
3,
3,
4,
4,
4,
2,
2,
6,
2,
4,
4,
3,
3,
2,
2,
4,
5,
4,
5,
3,
3,
3,
7,
2,
5,
4,
4,
4,
3,
3,
2,
6,
3,
2,
2,
2,
3,
2,
2,
3,
2,
3,
2,
3,
3,
3,
3,
2,
1,
4,
3,
3,
4,
4,
3,
3,
3,
4,
5,
5,
2,
2,
4,
3,
3,
2,
3,
3,
4,
4,
4,
4,
2,
4,
2,
4,
2,
4,
4,
5,
4,
3,
3,
4,
4,
3,
2,
4,
4,
4,
3,
3,
7,
4,
3,
4,
2,
2,
3,
4,
1,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
4,
4,
2,
2,
4,
3,
2,
3,
3,
3,
2,
2,
5,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
5,
4,
3,
6,
3,
5,
3,
4,
4,
4,
4,
2,
3,
2,
3,
4,
6,
4,
4,
3,
3,
3,
4,
4,
4,
4,
7,
5,
5,
5,
5,
2,
3,
2,
2,
2,
4,
4,
4,
2,
2,
3,
3,
2,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
4,
5,
4,
1,
2,
4,
3,
3,
3,
4,
2,
2,
3,
3,
5,
3,
4,
5,
4,
4,
2,
2,
2,
2,
6,
3,
3,
4,
4,
4,
4,
3,
2,
4,
3,
2,
1,
2,
5,
3,
2,
2,
3,
4,
3,
4,
4,
2,
4,
4,
2,
4,
4,
6,
2,
2,
2,
6,
2,
4,
2,
5,
8,
5,
4,
3,
3,
3,
3,
4,
2,
3,
3,
3,
3,
3,
2,
2,
3,
2,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
4,
4,
2,
6,
2,
3,
6,
4,
3,
7,
4,
4,
4,
4,
2,
3,
4,
2,
2,
5,
3,
3,
4,
2,
2,
4,
4,
2,
2,
5,
3,
6,
2,
2,
4,
5,
5,
4,
4,
4,
7,
3,
2,
5,
5,
3,
1,
4,
2,
3,
2,
4,
2,
2,
3,
4,
4,
4,
4,
3,
2,
3,
2,
3,
3,
2,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
1,
2,
5,
2,
3,
2,
5,
2,
6,
3,
3,
2,
3,
2,
2,
4,
4,
4,
4,
5,
5,
5,
5,
4,
4,
2,
2,
2,
2,
4,
3,
4,
4,
2,
2,
5,
5,
4,
5,
5,
3,
2,
2,
3,
4,
4,
4,
4,
1,
4,
3,
6,
6,
3,
4,
4,
4,
3,
5,
4,
2,
2,
5,
4,
4,
3,
7,
2,
3,
2,
2,
3,
6,
3,
4,
3,
3,
5,
4,
3,
3,
4,
5,
4,
4,
3,
5,
3,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
2,
3,
4,
5,
3,
2,
4,
3,
2,
5,
4,
2,
4,
4,
5,
3,
1,
6,
4,
4,
4,
2,
3,
4,
2,
2,
2,
2,
4,
4,
3,
4,
4,
3,
3,
2,
4,
2,
2,
4,
2,
2,
3,
6,
3,
2,
3,
3,
3,
3,
4,
2,
4,
4,
4,
1,
2,
1,
6,
3,
3,
3,
2,
2,
4,
4,
5,
6,
4,
6,
3,
4,
1,
2,
4,
2,
2,
4,
2,
4,
4,
4,
2,
2,
3,
3,
3,
3,
6,
3,
3,
3,
3,
3,
3,
1,
4,
3,
5,
5,
3,
5,
4,
3,
3,
2,
4,
4,
4,
4,
4,
2,
4,
3,
3,
4,
4,
4,
4,
3,
3,
3,
2,
2,
4,
4,
4,
3,
6,
4,
4,
5,
5,
5,
3,
2,
3,
4,
4,
4,
9,
3,
3,
3,
4,
2,
3,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
1,
3,
6,
5,
5,
5,
4,
2,
3,
4,
2,
4,
4,
4,
4,
2,
2,
4,
3,
3,
4,
4,
4,
4,
4,
3,
5,
3,
2,
2,
2,
4,
3,
4,
2,
2,
4,
4,
3,
2,
2,
2,
5,
2,
2,
4,
5,
2,
2,
4,
4,
3,
4,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
6,
4,
2,
4,
3,
4,
4,
2,
3,
2,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
3,
6,
6,
2,
2,
2,
4,
3,
4,
5,
2,
4,
3,
2,
4,
2,
3,
6,
5,
4,
4,
4,
2,
2,
4,
2,
4,
2,
3,
4,
4,
4,
3,
5,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
6,
2,
5,
7,
6,
5,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
4,
2,
4,
3,
4,
8,
3,
6,
5,
3,
5,
3,
3,
3,
3,
5,
4,
4,
3,
3,
3,
3,
3,
4,
4,
3,
2,
4,
3,
8,
2,
3,
6,
4,
2,
6,
3,
4,
3,
3,
3,
3,
4,
4,
4,
6,
4,
4,
2,
2,
3,
3,
4,
4,
2,
5,
4,
5,
4,
3,
5,
2,
4,
4,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
3,
4,
2,
2,
4,
5,
3,
2,
2,
2,
5,
3,
4,
3,
3,
5,
3,
3,
2,
3,
4,
4,
5,
6,
2,
2,
4,
4,
2,
4,
5,
5,
3,
4,
2,
3,
3,
4,
3,
2,
4,
3,
4,
2,
3,
2,
2,
3,
2,
2,
3,
3,
2,
5,
5,
4,
4,
4,
3,
4,
1,
2,
2,
5,
2,
3,
2,
2,
2,
3,
2,
2,
1,
2,
4,
4,
6,
4,
4,
4,
4,
3,
2,
3,
3,
3,
4,
3,
4,
3,
2,
4,
4,
2,
4,
2,
3,
4,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
4,
2,
2,
5,
4,
2,
3,
2,
2,
2,
3,
2,
4,
2,
3,
4,
3,
3,
3,
4,
4,
5,
4,
5,
4,
4,
3,
2,
4,
5,
2,
4,
4,
2,
3,
5,
6,
4,
2,
5,
3,
5,
4,
3,
3,
6,
1,
2,
3,
4,
2,
4,
4,
4,
2,
3,
4,
1,
4,
3,
2,
3,
3,
2,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
4,
2,
4,
4,
4,
4,
2,
1,
5,
5,
4,
4,
4,
6,
2,
4,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
3,
8,
7,
4,
4,
2,
4,
4,
4,
3,
3,
3,
4,
3,
4,
4,
8,
8,
2,
2,
3,
2,
4,
2,
4,
4,
4,
5,
7,
6,
6,
3,
3,
3,
2,
3,
3,
2,
3,
3,
6,
3,
3,
2,
2,
4,
3,
3,
2,
2,
2,
3,
4,
4,
2,
3,
3,
3,
2,
3,
2,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
2,
7,
2,
4,
4,
5,
3,
3,
2,
5,
4,
4,
3,
6,
2,
4,
3,
2,
4,
2,
4,
3,
2,
4,
4,
2,
3,
1,
3,
6,
3,
2,
2,
4,
4,
4,
3,
2,
4,
2,
2,
2,
2,
2,
3,
4,
3,
5,
2,
4,
5,
4,
4,
2,
4,
4,
3,
3,
2,
3,
3,
3,
3,
3,
5,
3,
2,
3,
2,
3,
3,
2,
3,
3,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
2,
3,
3,
4,
2,
2,
3,
5,
4,
2,
6,
4,
3,
3,
2,
4,
5,
4,
2,
4,
3,
2,
3,
2,
1,
2,
4,
3,
2,
4,
4,
4,
3,
3,
3,
3,
2,
2,
3,
4,
4,
4,
4,
2,
2,
4,
3,
2,
2,
2,
3,
3,
2,
2,
4,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
3,
4,
2,
3,
4,
2,
3,
2,
3,
4,
2,
4,
2,
4,
4,
2,
4,
2,
4,
6,
6,
3,
5,
4,
3,
2,
2,
2,
5,
2,
3,
4,
4,
4,
2,
5,
6,
3,
3,
4,
4,
3,
2,
4,
4,
4,
2,
4,
2,
4,
3,
2,
3,
3,
4,
2,
2,
1,
5,
4,
3,
3,
3,
3,
4,
3,
5,
5,
4,
4,
2,
2,
3,
4,
3,
2,
2,
3,
2,
2,
4,
4,
2,
2,
4,
2,
4,
2,
2,
3,
2,
2,
2,
3,
4,
4,
3,
2,
2,
5,
4,
4,
3,
1,
5,
4,
2,
4,
3,
4,
2,
4,
2,
1,
4,
3,
3,
3,
4,
4,
5,
8,
3,
2,
5,
4,
3,
2,
4,
2,
1,
3,
3,
3,
3,
4,
4,
3,
2,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
3,
2,
2,
7,
3,
3,
3,
4,
2,
2,
3,
3,
2,
2,
2,
2,
6,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
2,
3,
3,
2,
5,
3,
3,
3,
2,
4,
4,
2,
4,
2,
3,
2,
4,
5,
6,
3,
4,
3,
2,
5,
5,
3,
3,
4,
4,
3,
4,
2,
4,
5,
5,
2,
2,
2,
2,
3,
3,
4,
2,
2,
2,
2,
4,
2,
6,
4,
4,
4,
3,
3,
4,
4,
4,
3,
2,
2,
2,
4,
3,
2,
3,
2,
2,
3,
3,
4,
3,
4,
6,
3,
12,
4,
4,
3,
2,
3,
3,
4,
4,
2,
2,
3,
3,
4,
4,
2,
2,
5,
4,
4,
5,
5,
5,
4,
4,
4,
2,
2,
1,
3,
4,
3,
3,
4,
3,
4,
3,
4,
4,
4,
2,
2,
2,
5,
2,
5,
3,
3,
4,
3,
4,
4,
3,
3,
2,
4,
4,
2,
2,
8,
4,
4,
5,
9,
6,
3,
5,
6,
5,
3,
8,
3,
3,
3,
4,
2,
4,
4,
2,
2,
4,
3,
2,
2,
3,
2,
2,
4,
2,
4,
5,
4,
4,
5,
2,
6,
4,
5,
2,
4,
2,
5,
4,
3,
3,
3,
2,
6,
2,
6,
3,
3,
3,
4,
4,
2,
5,
3,
7,
3,
2,
3,
3,
3,
3,
4,
4,
2,
3,
2,
5,
4,
1,
2,
2,
2,
2,
4,
3,
3,
3,
2,
3,
2,
3,
4,
2,
4,
2,
4,
4,
5,
3,
3,
3,
4,
3,
5,
2,
2,
3,
5,
2,
3,
2,
5,
4,
4,
4,
4,
2,
4,
2,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
5,
3,
6,
4,
3,
4,
2,
3,
5,
4,
4,
4,
4,
2,
4,
4,
5,
5,
4,
3,
3,
2,
3,
6,
5,
2,
2,
5,
2,
4,
2,
3,
2,
3,
2,
2,
3,
4,
2,
3,
1,
3,
3,
2,
3,
4,
2,
4,
4,
3,
3,
2,
4,
2,
4,
4,
4,
2,
2,
3,
2,
4,
4,
3,
2,
5,
3,
3,
4,
4,
1,
3,
3,
2,
2,
4,
4,
3,
3,
2,
3,
5,
2,
3,
4,
4,
5,
5,
5,
7,
2,
2,
2,
2,
2,
2,
2,
4,
5,
3,
4,
3,
3,
2,
3,
3,
4,
5,
5,
3,
4,
4,
2,
3,
2,
2,
4,
3,
3,
2,
3,
6,
4,
3,
4,
2,
4,
2,
2,
2,
5,
3,
2,
2,
2,
2,
2,
2,
6,
3,
4,
4,
4,
2,
3,
2,
2,
2,
3,
2,
2,
3,
4,
3,
4,
4,
4,
2,
2,
3,
2,
3,
4,
2,
2,
2,
4,
6,
5,
3,
4,
4,
8,
2,
4,
4,
4,
3,
1,
4,
6,
6,
2,
2,
3,
2,
4,
4,
4,
3,
5,
3,
3,
4,
2,
3,
1,
2,
2,
2,
3,
4,
3,
4,
4,
4,
4,
3,
3,
1,
4,
4,
4,
3,
4,
4,
4,
4,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
3,
4,
4,
6,
4,
4,
4,
4,
3,
3,
3,
2,
3,
3,
2,
3,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
5,
5,
5,
4,
3,
4,
4,
2,
5,
4,
4,
4,
2,
3,
4,
3,
3,
3,
2,
6,
3,
4,
4,
4,
4,
4,
2,
2,
7,
2,
3,
4,
4,
4,
2,
2,
2,
2,
3,
2,
4,
2,
3,
2,
2,
7,
3,
3,
4,
4,
2,
3,
4,
3,
4,
4,
4,
5,
2,
2,
3,
2,
2,
5,
5,
4,
4,
3,
5,
3,
5,
1,
3,
3,
3,
3,
1,
5,
2,
6,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
6,
6,
2,
3,
6,
5,
3,
3,
2,
2,
2,
5,
8,
3,
2,
2,
4,
6,
3,
3,
2,
2,
4,
4,
4,
2,
4,
4,
4,
2,
4,
4,
4,
4,
6,
4,
2,
4,
3,
3,
3,
3,
4,
3,
3,
2,
2,
3,
4,
3,
2,
2,
3,
3,
4,
4,
2,
7,
2,
2,
2,
4,
3,
2,
3,
2,
3,
3,
3,
1,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
4,
4,
3,
2,
3,
4,
4,
4,
4,
3,
2,
5,
2,
4,
6,
2,
3,
4,
5,
7,
3,
4,
2,
3,
3,
9,
2,
2,
4,
2,
2,
4,
4,
3,
3,
2,
1,
7,
4,
4,
4,
4,
4,
3,
4,
3,
3,
2,
4,
6,
3,
3,
4,
3,
3,
3,
3,
2,
5,
5,
5,
4,
2,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
4,
2,
2,
4,
5,
6,
2,
4,
4,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
5,
3,
3,
2,
2,
3,
7,
4,
4,
2,
4,
6,
4,
4,
4,
3,
3,
2,
2,
3,
8,
2,
4,
2,
4,
2,
2,
2,
5,
5,
2,
2,
4,
4,
4,
8,
3,
2,
3,
4,
5,
3,
3,
3,
2,
3,
3,
3,
2,
2,
5,
3,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
3,
2,
2,
2,
2,
5,
4,
5,
3,
2,
2,
3,
2,
3,
2,
2,
3,
4,
3,
3,
3,
3,
5,
2,
3,
4,
4,
2,
3,
3,
2,
6,
7,
5,
5,
3,
3,
2,
2,
5,
4,
4,
2,
2,
3,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
4,
5,
3,
2,
2,
2,
4,
3,
2,
4,
2,
1,
2,
4,
2,
3,
3,
2,
3,
3,
6,
4,
4,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
6,
3,
4,
2,
3,
2,
2,
2,
4,
4,
2,
3,
4,
2,
2,
3,
2,
4,
2,
4,
2,
2,
3,
3,
6,
4,
5,
2,
3,
6,
1,
3,
4,
1,
3,
4,
2,
2,
6,
2,
3,
3,
3,
3,
3,
5,
4,
3,
4,
4,
3,
4,
3,
3,
2,
3,
5,
4,
4,
4,
3,
3,
3,
2,
2,
2,
3,
5,
3,
4,
4,
3,
2,
4,
4,
6,
8,
3,
3,
8,
4,
5,
5,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
7,
2,
6,
2,
4,
3,
5,
4,
4,
4,
4,
4,
3,
4,
2,
1,
4,
5,
3,
6,
5,
4,
2,
2,
2,
2,
6,
4,
3,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
3,
3,
4,
2,
1,
2,
3,
4,
3,
3,
3,
3,
2,
4,
3,
4,
5,
2,
2,
4,
3,
2,
5,
6,
2,
2,
2,
3,
3,
2,
3,
3,
5,
1,
3,
3,
2,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
2,
2,
4,
4,
4,
3,
2,
3,
3,
2,
3,
2,
4,
4,
4,
3,
2,
3,
4,
4,
4,
4,
4,
3,
9,
2,
2,
3,
3,
3,
3,
4,
4,
2,
4,
4,
2,
2,
9,
4,
2,
2,
3,
3,
2,
5,
5,
3,
4,
2,
2,
3,
2,
4,
2,
2,
2,
4,
2,
4,
3,
1,
2,
3,
6,
2,
2,
5,
2,
3,
3,
7,
2,
4,
4,
4,
3,
3,
5,
2,
2,
2,
3,
2,
2,
4,
4,
4,
3,
4,
2,
2,
2,
6,
4,
4,
5,
4,
3,
2,
2,
2,
4,
1,
4,
2,
3,
4,
3,
4,
3,
2,
4,
3,
3,
2,
2,
3,
4,
2,
5,
4,
2,
2,
4,
2,
1,
1,
2,
1,
2,
4,
2,
5,
5,
2,
2,
3,
2,
2,
2,
2,
2,
3,
4,
4,
8,
4,
4,
4,
2,
5,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
3,
3,
4,
2,
4,
6,
10,
3,
3,
4,
3,
4,
4,
4,
4,
1,
4,
4,
4,
2,
2,
3,
3,
3,
4,
3,
3,
3,
2,
3,
4,
2,
3,
3,
3,
2,
3,
2,
3,
4,
4,
6,
5,
8,
3,
4,
4,
4,
4,
5,
4,
4,
4,
5,
4,
3,
7,
4,
4,
3,
2,
4,
4,
4,
2,
3,
3,
2,
2,
4,
3,
3,
5,
6,
5,
4,
4,
3,
2,
2,
3,
2,
5,
4,
4,
2,
2,
3,
3,
3,
3,
4,
4,
2,
3,
3,
2,
3,
4,
3,
4,
4,
4,
4,
3,
3,
4,
2,
4,
2,
3,
3,
2,
2,
5,
5,
3,
2,
6,
3,
1,
3,
2,
4,
3,
3,
6,
2,
2,
2,
4,
4,
4,
4,
6,
5,
3,
2,
6,
2,
2,
6,
7,
3,
2,
2,
2,
2,
3,
3,
1,
2,
3,
2,
2,
1,
3,
3,
3,
3,
3,
4,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
4,
3,
2,
5,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
2,
5,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
4,
4,
3,
2,
2,
3,
3,
2,
2,
3,
2,
4,
2,
3,
3,
4,
4,
4,
4,
3,
2,
4,
4,
4,
2,
4,
2,
7,
6,
2,
4,
5,
3,
3,
4,
1,
5,
5,
7,
4,
4,
4,
3,
3,
1,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
4,
3,
2,
2,
2,
5,
3,
2,
2,
2,
3,
5,
4,
3,
2,
2,
5,
4,
3,
4,
5,
2,
2,
4,
2,
5,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
1,
3,
2,
4,
2,
4,
2,
2,
4,
3,
2,
2,
4,
2,
2,
3,
4,
2,
2,
2,
2,
2,
5,
5,
3,
3,
3,
5,
5,
2,
2,
4,
2,
4,
2,
5,
2,
2,
3,
2,
6,
1,
2,
5,
3,
4,
3,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
3,
4,
4,
3,
5,
2,
2,
4,
7,
7,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
1,
3,
3,
4,
5,
5,
4,
4,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
2,
2,
4,
4,
4,
2,
5,
4,
6,
4,
4,
4,
5,
6,
4,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
3,
2,
4,
2,
2,
2,
2,
3,
2,
4,
2,
3,
4,
3,
3,
2,
4,
1,
2,
3,
2,
3,
4,
1,
3,
3,
2,
8,
3,
3,
4,
3,
4,
2,
3,
2,
4,
3,
2,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
4,
4,
2,
2,
4,
3,
4,
4,
4,
4,
1,
3,
3,
2,
3,
5,
4,
3,
6,
2,
2,
6,
3,
7,
2,
1,
4,
3,
3,
2,
2,
2,
2,
4,
2,
4,
6,
2,
3,
4,
2,
4,
2,
5,
6,
2,
2,
4,
4,
2,
2,
3,
2,
4,
3,
4,
4,
4,
3,
3,
3,
2,
3,
3,
4,
3,
3,
1,
5,
3,
4,
4,
2,
4,
4,
4,
4,
2,
4,
2,
2,
4,
4,
4,
4,
3,
3,
2,
5,
5,
5,
5,
1,
4,
6,
3,
2,
2,
2,
2,
2,
3,
4,
4,
2,
2,
4,
4,
3,
3,
4,
4,
2,
1,
2,
2,
4,
3,
2,
3,
4,
2,
3,
3,
4,
4,
2,
2,
3,
4,
4,
4,
1,
2,
2,
2,
3,
3,
3,
7,
4,
4,
4,
4,
4,
3,
2,
4,
5,
2,
3,
3,
2,
2,
3,
4,
2,
4,
4,
2,
5,
4,
2,
4,
3,
1,
3,
3,
4,
5,
3,
3,
3,
3,
2,
2,
5,
2,
2,
3,
4,
2,
2,
2,
1,
2,
3,
4,
5,
4,
4,
4,
4,
4,
4,
5,
4,
3,
2,
2,
3,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
2,
4,
2,
2,
1,
4,
2,
2,
4,
3,
3,
2,
4,
5,
4,
4,
3,
2,
2,
2,
4,
3,
3,
3,
3,
4,
2,
2,
4,
3,
4,
3,
3,
4,
4,
5,
5,
3,
4,
2,
3,
4,
2,
2,
4,
3,
2,
4,
3,
2,
2,
3,
1,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
3,
4,
3,
3,
4,
5,
3,
6,
3,
5,
4,
5,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
4,
2,
2,
2,
3,
4,
3,
4,
4,
2,
4,
4,
5,
2,
4,
4,
4,
3,
3,
5,
6,
6,
3,
3,
2,
5,
7,
5,
5,
2,
3,
3,
4,
4,
9,
9,
4,
4,
8,
6,
3,
4,
4,
4,
4,
4,
2,
2,
3,
2,
5,
3,
2,
4,
7,
3,
3,
2,
2,
7,
3,
3,
2,
3,
2,
4,
3,
3,
4,
4,
3,
4,
2,
2,
3,
3,
4,
4,
3,
3,
3,
5,
4,
2,
4,
2,
4,
2,
2,
3,
3,
4,
3,
2,
3,
3,
1,
2,
3,
4,
4,
3,
2,
4,
2,
3,
2,
2,
3,
3,
5,
5,
4,
4,
2,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
7,
3,
2,
5,
4,
4,
3,
5,
2,
4,
4,
2,
3,
3,
1,
9,
3,
4,
3,
4,
4,
5,
5,
6,
3,
6,
3,
5,
2,
3,
3,
3,
3,
2,
2,
8,
7,
4,
4,
4,
4,
4,
4,
2,
8,
8,
4,
3,
3,
1,
4,
3,
2,
1,
4,
4,
3,
3,
6,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
2,
4,
3,
3,
3,
4,
4,
3,
2,
3,
2,
4,
2,
2,
3,
3,
2,
2,
3,
3,
3,
2,
3,
3,
3,
3,
2,
5,
4,
3,
4,
4,
2,
2,
4,
3,
2,
2,
4,
5,
3,
3,
1,
2,
5,
5,
3,
2,
6,
6,
2,
2,
5,
3,
2,
3,
4,
2,
2,
3,
4,
2,
3,
2,
6,
6,
4,
2,
2,
4,
4,
4,
4,
3,
3,
3,
5,
2,
2,
6,
4,
2,
3,
2,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
2,
3,
2,
5,
4,
6,
2,
2,
3,
2,
3,
2,
4,
4,
4,
4,
3,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
4,
2,
2,
4,
3,
2,
3,
2,
2,
4,
5,
3,
4,
2,
8,
3,
4,
3,
3,
4,
3,
4,
3,
3,
4,
4,
4,
2,
3,
5,
3,
3,
4,
4,
3,
4,
4,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
1,
5,
4,
7,
4,
4,
3,
2,
2,
4,
8,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
5,
1,
3,
3,
1,
2,
2,
6,
3,
7,
4,
3,
4,
4,
4,
3,
2,
5,
3,
4,
4,
5,
3,
2,
6,
3,
7,
7,
2,
4,
6,
6,
4,
4,
2,
3,
4,
4,
3,
3,
2,
2,
3,
4,
4,
5,
6,
5,
4,
4,
5,
4,
6,
2,
3,
3,
4,
2,
4,
2,
1,
3,
2,
2,
4,
4,
3,
5,
2,
2,
2,
2,
2,
5,
5,
4,
3,
6,
5,
4,
2,
4,
4,
4,
4,
4,
4,
5,
3,
5,
2,
4,
3,
3,
4,
4,
5,
4,
3,
2,
4,
3,
3,
3,
4,
7,
6,
3,
3,
6,
2,
3,
4,
2,
1,
5,
4,
3,
5,
4,
4,
4,
2,
4,
5,
5,
4,
2,
2,
2,
4,
2,
2,
3,
3,
2,
4,
2,
8,
6,
3,
2,
5,
4,
4,
2,
3,
2,
3,
3,
1,
4,
3,
2,
3,
4,
4,
4,
3,
4,
4,
2,
2,
4,
4,
4,
3,
3,
3,
2,
3,
2,
2,
2,
4,
5,
5,
3,
3,
3,
2,
2,
3,
8,
5,
5,
2,
4,
4,
4,
4,
3,
2,
4,
4,
2,
2,
2,
3,
2,
1,
4,
6,
7,
4,
7,
3,
3,
3,
2,
4,
4,
2,
4,
4,
5,
4,
3,
4,
4,
2,
2,
5,
4,
4,
3,
3,
4,
4,
4,
4,
8,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
4,
5,
5,
3,
4,
2,
2,
2,
2,
4,
4,
3,
2,
3,
5,
3,
5,
3,
2,
3,
3,
2,
4,
2,
2,
2,
3,
4,
4,
2,
2,
3,
2,
4,
2,
4,
2,
2,
2,
2,
4,
3,
3,
3,
2,
6,
3,
3,
3,
6,
7,
2,
2,
5,
2,
1,
4,
4,
2,
4,
2,
2,
6,
2,
2,
3,
2,
2,
3,
4,
3,
2,
4,
3,
3,
3,
4,
3,
3,
3,
3,
4,
3,
3,
2,
2,
3,
4,
2,
3,
5,
4,
4,
4,
2,
3,
3,
6,
4,
4,
4,
5,
3,
3,
3,
2,
2,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
2,
3,
3,
3,
3,
3,
4,
4,
2,
2,
4,
7,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
3,
2,
3,
3,
3,
1,
3,
8,
4,
2,
3,
4,
5,
4,
4,
4,
4,
3,
5,
2,
3,
3,
3,
2,
3,
3,
4,
3,
4,
4,
5,
3,
3,
4,
3,
3,
2,
5,
4,
3,
2,
3,
2,
2,
4,
2,
2,
3,
1,
2,
3,
3,
2,
2,
6,
3,
3,
2,
4,
3,
3,
3,
2,
4,
5,
4,
4,
6,
2,
3,
5,
4,
2,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
5,
5,
3,
2,
2,
2,
2,
4,
2,
2,
5,
3,
3,
3,
2,
2,
2,
4,
3,
2,
2,
1,
2,
3,
2,
2,
6,
3,
4,
6,
2,
2,
4,
2,
4,
4,
4,
3,
3,
2,
3,
3,
3,
2,
2,
1,
5,
3,
6,
2,
3,
4,
3,
2,
8,
6,
3,
4,
4,
2,
2,
4,
2,
3,
3,
3,
4,
3,
4,
4,
4,
2,
3,
2,
5,
2,
3,
3,
3,
6,
5,
4,
3,
3,
3,
3,
3,
7,
2,
4,
4,
2,
4,
2,
4,
4,
4,
4,
4,
3,
4,
8,
2,
4,
4,
6,
4,
2,
5,
5,
5,
4,
3,
3,
3,
4,
8,
2,
1,
1,
4,
2,
7,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
5,
3,
2,
3,
2,
4,
4,
2,
3,
2,
3,
2,
5,
2,
6,
3,
4,
2,
2,
2,
3,
3,
3,
3,
3,
4,
4,
4,
2,
3,
3,
2,
4,
4,
2,
2,
4,
3,
4,
4,
4,
6,
2,
2,
5,
5,
4,
3,
2,
2,
4,
4,
3,
3,
3,
3,
3,
5,
2,
3,
4,
5,
4,
3,
3,
3,
3,
4,
4,
2,
4,
4,
4,
4,
3,
2,
3,
4,
3,
3,
5,
7,
4,
3,
7,
2,
2,
4,
3,
6,
2,
2,
5,
3,
2,
6,
3,
4,
2,
3,
2,
2,
4,
3,
2,
4,
3,
3,
2,
3,
2,
3,
4,
4,
3,
3,
5,
4,
7,
4,
4,
3,
3,
4,
4,
2,
5,
3,
3,
5,
3,
5,
4,
3,
4,
4,
5,
4,
4,
2,
3,
4,
4,
4,
3,
5,
5,
3,
5,
4,
4,
3,
4,
6,
4,
3,
4,
4,
2,
5,
6,
4,
4,
1,
2,
4,
2,
2,
4,
4,
2,
4,
5,
4,
3,
5,
4,
4,
5,
2,
3,
4,
3,
4,
2,
2,
3,
3,
3,
1,
3,
3,
1,
2,
2,
5,
5,
5,
5,
2,
3,
3,
2,
4,
4,
5,
2,
3,
4,
3,
3,
2,
3,
2,
2,
2,
2,
4,
4,
3,
3,
3,
2,
3,
3,
2,
4,
3,
4,
1,
3,
3,
3,
3,
2,
4,
5,
4,
2,
4,
2,
3,
2,
2,
3,
2,
2,
2,
4,
1,
2,
3,
2,
2,
3,
3,
2,
3,
5,
3,
4,
5,
4,
5,
3,
2,
2,
2,
2,
2,
4,
4,
3,
3,
4,
4,
4,
3,
3,
4,
2,
2,
3,
4,
3,
3,
4,
2,
3,
3,
2,
2,
2,
3,
2,
3,
3,
3,
3,
5,
5,
3,
4,
3,
3,
5,
5,
4,
5,
3,
3,
3,
7,
5,
3,
4,
4,
4,
6,
3,
3,
5,
4,
2,
5,
4,
3,
4,
3,
3,
4,
4,
4,
2,
4,
4,
4,
3,
4,
2,
4,
4,
2,
4,
4,
2,
3,
2,
2,
5,
3,
4,
4,
4,
6,
4,
2,
2,
3,
5,
2,
5,
3,
3,
2,
2,
4,
4,
2,
4,
7,
6,
6,
2,
2,
2,
6,
2,
3,
5,
3,
6,
2,
4,
2,
2,
4,
3,
4,
4,
2,
2,
5,
4,
5,
4,
4,
2,
2,
4,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
4,
4,
2,
3,
2,
2,
2,
2,
2,
6,
4,
2,
4,
3,
3,
2,
3,
2,
4,
3,
2,
5,
2,
3,
4,
4,
3,
2,
2,
2,
5,
5,
2,
4,
7,
2,
4,
3,
4,
5,
2,
4,
2,
3,
1,
4,
4,
4,
4,
4,
4,
4,
5,
2,
1,
3,
4,
4,
3,
4,
2,
5,
3,
3,
3,
3,
6,
2,
3,
4,
3,
3,
3,
4,
4,
3,
2,
4,
4,
1,
3,
2,
2,
4,
4,
4,
1,
2,
2,
2,
4,
3,
3,
2,
2,
6,
2,
2,
3,
6,
4,
3,
3,
3,
4,
4,
3,
3,
3,
2,
2,
4,
3,
5,
3,
6,
5,
5,
5,
7,
4,
4,
4,
4,
3,
2,
4,
4,
5,
3,
2,
3,
6,
2,
6,
3,
3,
2,
3,
7,
4,
4,
4,
4,
2,
4,
4,
2,
5,
4,
2,
4,
5,
6,
3,
2,
3,
3,
3,
7,
1,
2,
4,
4,
3,
4,
4,
4,
4,
6,
4,
2,
4,
4,
3,
2,
2,
2,
2,
1,
4,
2,
4,
2,
2,
3,
4,
2,
4,
2,
3,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
4,
3,
4,
4,
4,
3,
3,
5,
5,
5,
3,
2,
4,
2,
2,
4,
4,
2,
2,
4,
2,
4,
3,
2,
2,
2,
3,
2,
5,
2,
3,
2,
3,
3,
2,
3,
2,
3,
3,
3,
2,
3,
2,
3,
7,
2,
4,
5,
2,
4,
4,
4,
3,
3,
4,
3,
3,
2,
4,
3,
3,
3,
5,
3,
3,
3,
3,
5,
4,
7,
4,
3,
4,
5,
4,
5,
5,
3,
3,
3,
3,
1,
3,
2,
3,
2,
3,
4,
5,
2,
2,
4,
4,
2,
2,
2,
3,
4,
5,
4,
5,
2,
3,
3,
3,
3,
3,
5,
3,
5,
4,
3,
4,
3,
3,
2,
3,
6,
4,
2,
3,
5,
6,
1,
6,
2,
3,
4,
3,
3,
3,
5,
2,
5,
4,
5,
3,
3,
3,
2,
4,
3,
3,
5,
3,
4,
3,
5,
3,
4,
2,
3,
3,
3,
1,
4,
1,
3,
4,
3,
4,
3,
4,
1,
3,
3,
3,
3,
2,
2,
2,
3,
5,
4,
3,
4,
5,
3,
5,
2,
3,
3,
4,
4,
4,
4,
5,
5,
5,
4,
6,
3,
2,
3,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
2,
3,
4,
3,
4,
1,
4,
5,
4,
3,
4,
2,
2,
4,
2,
4,
6,
5,
4,
4,
4,
2,
3,
4,
4,
9,
3,
3,
3,
3,
2,
3,
3,
3,
3,
5,
2,
3,
2,
3,
3,
2,
2,
3,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
5,
2,
3,
2,
4,
5,
2,
4,
4,
2,
2,
2,
4,
2,
3,
3,
4,
2,
2,
4,
1,
3,
5,
3,
2,
5,
3,
3,
7,
2,
2,
2,
4,
3,
3,
6,
5,
2,
5,
4,
4,
4,
3,
2,
4,
4,
4,
4,
3,
3,
2,
4,
4,
3,
5,
4,
4,
4,
4,
3,
3,
3,
5,
3,
3,
1,
4,
3,
3,
3,
2,
3,
1,
2,
1,
3,
3,
3,
5,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
5,
3,
3,
3,
5,
4,
3,
2,
4,
7,
2,
2,
4,
3,
3,
5,
4,
2,
4,
3,
3,
1,
2,
2,
4,
3,
4,
3,
2,
2,
2,
2,
4,
4,
4,
2,
1,
5,
4,
2,
1,
4,
4,
4,
3,
2,
3,
3,
3,
2,
3,
3,
3,
2,
3,
3,
2,
4,
3,
4,
5,
2,
4,
6,
2,
2,
2,
4,
4,
3,
2,
3,
4,
2,
2,
4,
2,
9,
4,
2,
2,
8,
4,
3,
6,
4,
2,
2,
2,
2,
4,
4,
6,
3,
3,
3,
3,
2,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
7,
6,
2,
4,
2,
4,
3,
3,
6,
2,
2,
4,
5,
3,
4,
4,
4,
4,
4,
2,
2,
3,
4,
2,
3,
2,
2,
4,
4,
3,
3,
2,
3,
4,
4,
2,
4,
4,
6,
5,
2,
4,
4,
3,
3,
2,
3,
4,
3,
3,
5,
2,
2,
3,
2,
2,
4,
3,
3,
6,
2,
2,
3,
3,
2,
4,
2,
2,
3,
2,
2,
4,
4,
4,
4,
4,
3,
7,
4,
2,
2,
2,
1,
3,
2,
3,
2,
2,
2,
2,
2,
4,
4,
5,
4,
2,
3,
3,
4,
3,
2,
2,
2,
2,
4,
3,
2,
2,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
4,
3,
5,
4,
3,
3,
3,
2,
4,
2,
4,
4,
2,
2,
4,
4,
3,
4,
7,
5,
5,
3,
3,
4,
4,
4,
4,
4,
3,
3,
2,
4,
2,
6,
5,
2,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
5,
3,
6,
4,
2,
3,
3,
2,
4,
4,
3,
2,
3,
3,
5,
3,
3,
4,
6,
3,
1,
4,
3,
3,
3,
4,
2,
3,
4,
4,
4,
4,
5,
2,
3,
5,
4,
4,
4,
4,
4,
3,
2,
4,
2,
2,
6,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
3,
5,
2,
3,
2,
2,
3,
4,
3,
3,
3,
2,
4,
4,
3,
2,
3,
4,
2,
4,
3,
3,
2,
3,
4,
6,
4,
2,
3,
2,
2,
2,
2,
2,
5,
2,
2,
2,
4,
4,
4,
7,
4,
4,
5,
4,
3,
2,
5,
3,
4,
2,
3,
4,
4,
4,
6,
4,
2,
2,
4,
5,
2,
2,
3,
6,
4,
8,
8,
3,
2,
2,
4,
3,
4,
2,
4,
4,
3,
3,
2,
4,
4,
4,
6,
6,
4,
4,
2,
2,
2,
2,
4,
5,
4,
3,
3,
3,
6,
2,
3,
2,
3,
3,
3,
4,
2,
2,
2,
3,
3,
3,
2,
1,
4,
4,
4,
3,
3,
4,
4,
2,
2,
2,
5,
4,
4,
2,
4,
2,
4,
3,
4,
3,
3,
2,
2,
2,
5,
4,
3,
3,
4,
2,
2,
2,
5,
4,
3,
4,
2,
2,
1,
2,
2,
2,
7,
2,
3,
4,
4,
4,
5,
2,
4,
2,
3,
1,
2,
5,
5,
8,
4,
2,
4,
2,
2,
4,
3,
3,
4,
4,
2,
3,
3,
3,
4,
3,
3,
4,
4,
2,
4,
3,
3,
4,
4,
4,
6,
4,
4,
4,
8,
9,
3,
3,
8,
8,
3,
3,
3,
4,
4,
6,
4,
3,
2,
3,
3,
3,
3,
3,
2,
3,
4,
4,
3,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
3,
3,
3,
3,
3,
2,
3,
4,
4,
1,
1,
1,
5,
4,
4,
4,
3,
6,
3,
5,
6,
4,
2,
3,
3,
2,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
6,
4,
8,
3,
2,
3,
4,
2,
3,
3,
5,
2,
2,
5,
2,
2,
3,
2,
6,
4,
7,
3,
2,
4,
4,
2,
4,
3,
5,
4,
3,
4,
4,
4,
4,
3,
3,
5,
4,
2,
3,
4,
4,
3,
3,
4,
5,
5,
3,
2,
3,
4,
2,
2,
4,
3,
2,
1,
2,
4,
4,
3,
3,
3,
2,
2,
4,
4,
6,
4,
4,
2,
2,
5,
5,
5,
4,
4,
4,
3,
4,
4,
3,
2,
3,
5,
6,
3,
4,
2,
4,
4,
4,
4,
6,
5,
5,
5,
6,
6,
4,
4,
3,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
4,
4,
4,
4,
2,
1,
1,
4,
5,
4,
4,
2,
2,
3,
2,
2,
2,
2,
4,
3,
2,
5,
4,
4,
4,
4,
2,
3,
2,
2,
3,
4,
3,
4,
2,
4,
2,
5,
2,
3,
2,
5,
2,
2,
4,
2,
2,
2,
2,
2,
4,
2,
4,
3,
2,
5,
3,
3,
5,
2,
3,
3,
4,
4,
3,
4,
8,
2,
4,
3,
2,
3,
3,
3,
2,
4,
2,
4,
4,
3,
3,
3,
1,
4,
5,
4,
2,
2,
4,
3,
3,
2,
2,
3,
3,
2,
3,
3,
5,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
2,
4,
4,
2,
2,
4,
3,
3,
2,
4,
2,
2,
7,
2,
3,
6,
2,
2,
2,
2,
3,
5,
4,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
4,
4,
2,
3,
3,
2,
5,
3,
3,
2,
5,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
4,
3,
8,
2,
4,
3,
4,
5,
3,
3,
3,
2,
3,
3,
5,
4,
3,
2,
4,
4,
4,
2,
3,
4,
3,
3,
2,
2,
3,
2,
7,
7,
3,
2,
2,
4,
2,
2,
2,
5,
3,
2,
3,
4,
2,
1,
3,
6,
4,
4,
2,
4,
2,
3,
2,
2,
2,
2,
2,
4,
2,
5,
3,
3,
4,
2,
4,
4,
2,
3,
4,
2,
2,
4,
2,
6,
3,
2,
2,
3,
3,
4,
6,
4,
4,
4,
3,
2,
2,
4,
2,
3,
3,
3,
4,
4,
1,
4,
8,
5,
4,
4,
4,
2,
2,
2,
4,
3,
2,
5,
5,
3,
5,
3,
3,
2,
4,
5,
4,
4,
3,
4,
4,
3,
4,
3,
2,
3,
3,
4,
3,
2,
4,
4,
4,
2,
2,
4,
4,
4,
3,
2,
4,
3,
3,
3,
5,
3,
3,
3,
3,
3,
2,
4,
5,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
7,
2,
1,
2,
4,
4,
5,
3,
3,
4,
3,
3,
3,
3,
3,
2,
6,
3,
4,
8,
4,
4,
4,
7,
4,
3,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
3,
2,
3,
3,
3,
3,
2,
4,
4,
4,
2,
2,
2,
4,
4,
2,
6,
3,
2,
2,
2,
2,
2,
4,
4,
6,
3,
2,
2,
3,
3,
3,
5,
5,
2,
2,
3,
4,
3,
3,
3,
5,
4,
4,
2,
3,
3,
2,
2,
3,
4,
4,
3,
3,
7,
3,
3,
2,
4,
2,
2,
2,
4,
2,
3,
2,
2,
3,
6,
3,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
5,
5,
2,
4,
3,
3,
3,
4,
4,
4,
2,
5,
2,
4,
3,
3,
4,
4,
3,
3,
2,
2,
2,
2,
3,
2,
4,
4,
4,
2,
3,
3,
3,
5,
5,
2,
4,
4,
3,
2,
3,
4,
4,
4,
3,
2,
4,
3,
2,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
7,
6,
4,
3,
2,
3,
3,
3,
8,
5,
3,
4,
3,
3,
4,
2,
2,
2,
2,
3,
3,
5,
5,
3,
3,
4,
3,
3,
3,
2,
2,
4,
3,
2,
4,
4,
6,
6,
2,
2,
2,
3,
4,
2,
3,
3,
4,
2,
2,
3,
3,
4,
4,
4,
7,
4,
4,
4,
5,
3,
2,
2,
3,
5,
3,
2,
3,
2,
5,
3,
4,
2,
3,
2,
5,
2,
2,
2,
2,
3,
4,
4,
4,
4,
3,
3,
3,
2,
2,
3,
2,
7,
7,
4,
5,
4,
1,
1,
4,
1,
3,
3,
2,
5,
4,
2,
4,
5,
7,
4,
3,
4,
5,
2,
5,
4,
4,
3,
2,
1,
3,
2,
3,
3,
4,
2,
4,
2,
4,
4,
2,
3,
3,
3,
3,
2,
2,
3,
4,
2,
2,
5,
4,
4,
4,
6,
8,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
3,
3,
3,
4,
4,
2,
5,
2,
3,
2,
4,
5,
2,
2,
5,
5,
1,
2,
3,
3,
2,
3,
3,
7,
3,
5,
3,
4,
4,
1,
4,
2,
3,
3,
2,
2,
3,
4,
2,
3,
3,
2,
3,
4,
2,
4,
4,
4,
5,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
5,
2,
4,
2,
5,
2,
2,
2,
4,
5,
2,
2,
3,
2,
2,
2,
3,
1,
3,
2,
2,
4,
4,
3,
7,
3,
4,
2,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
6,
5,
4,
6,
4,
4,
4,
3,
2,
4,
6,
3,
3,
3,
7,
3,
2,
2,
4,
4,
2,
3,
3,
3,
4,
4,
2,
2,
2,
6,
6,
3,
4,
6,
3,
3,
2,
3,
5,
3,
2,
2,
2,
6,
2,
3,
4,
4,
4,
3,
3,
3,
3,
2,
2,
3,
4,
4,
5,
3,
3,
2,
3,
3,
3,
2,
3,
3,
2,
2,
2,
3,
4,
2,
3,
2,
4,
2,
2,
3,
4,
3,
1,
4,
3,
3,
2,
2,
3,
3,
3,
2,
4,
6,
6,
4,
3,
4,
3,
2,
4,
5,
3,
3,
3,
3,
2,
4,
3,
2,
4,
4,
3,
3,
4,
4,
2,
4,
4,
2,
3,
3,
3,
4,
4,
5,
4,
4,
3,
4,
4,
2,
4,
1,
4,
4,
2,
5,
4,
3,
4,
3,
2,
4,
4,
4,
2,
4,
2,
4,
3,
5,
7,
4,
4,
3,
3,
3,
5,
3,
3,
2,
3,
3,
3,
3,
4,
4,
2,
2,
2,
3,
8,
3,
3,
3,
3,
4,
5,
3,
2,
2,
2,
2,
4,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
3,
3,
5,
4,
3,
4,
2,
2,
3,
2,
3,
4,
4,
7,
4,
4,
3,
3,
3,
6,
3,
3,
2,
6,
4,
2,
4,
3,
2,
2,
4,
2,
5,
5,
2,
2,
2,
3,
3,
2,
2,
3,
6,
4,
3,
3,
7,
7,
4,
4,
4,
5,
5,
6,
3,
2,
2,
2,
5,
2,
3,
4,
2,
5,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
4,
2,
4,
2,
4,
4,
6,
5,
3,
5,
5,
5,
5,
5,
2,
4,
2,
4,
2,
4,
3,
3,
2,
3,
3,
9,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
5,
3,
4,
2,
2,
2,
3,
4,
3,
2,
3,
2,
4,
4,
4,
4,
1,
1,
2,
5,
2,
3,
2,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
2,
1,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
3,
3,
3,
4,
5,
2,
4,
1,
2,
3,
3,
2,
4,
5,
5,
2,
4,
3,
3,
3,
3,
4,
2,
2,
6,
5,
5,
3,
1,
4,
2,
6,
3,
3,
4,
4,
2,
3,
3,
2,
5,
3,
4,
4,
4,
2,
4,
6,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
5,
4,
4,
2,
2,
5,
7,
4,
4,
6,
4,
2,
5,
2,
3,
4,
4,
3,
2,
2,
6,
2,
2,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
3,
2,
4,
5,
2,
7,
3,
4,
3,
4,
2,
5,
4,
9,
3,
4,
3,
2,
2,
2,
3,
1,
3,
6,
2,
4,
4,
4,
4,
2,
5,
3,
3,
3,
5,
3,
4,
5,
2,
3,
2,
4,
2,
2,
4,
1,
2,
4,
3,
1,
5,
6,
4,
4,
3,
3,
4,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
7,
6,
2,
3,
4,
3,
2,
1,
2,
4,
5,
2,
3,
3,
3,
3,
2,
5,
5,
5,
3,
2,
4,
2,
4,
4,
2,
2,
4,
1,
2,
4,
4,
3,
3,
3,
3,
4,
2,
4,
3,
4,
4,
4,
2,
2,
2,
4,
4,
1,
2,
2,
3,
6,
5,
5,
2,
3,
2,
3,
3,
4,
4,
4,
3,
4,
4,
4,
4,
6,
3,
5,
2,
1,
3,
3,
4,
4,
2,
4,
6,
4,
2,
2,
2,
2,
2,
4,
4,
5,
2,
2,
4,
3,
6,
4,
2,
4,
4,
2,
2,
5,
2,
4,
2,
2,
3,
3,
2,
2,
2,
4,
5,
4,
2,
4,
4,
3,
3,
4,
2,
6,
4,
3,
1,
3,
5,
5,
2,
4,
5,
4,
5,
4,
2,
3,
2,
2,
5,
4,
2,
4,
5,
2,
3,
3,
2,
2,
2,
2,
2,
4,
3,
2,
2,
5,
2,
2,
3,
2,
2,
2,
4,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
4,
4,
3,
4,
3,
3,
4,
3,
2,
3,
3,
2,
3,
3,
3,
3,
4,
4,
4,
2,
3,
2,
2,
3,
3,
2,
3,
5,
2,
2,
3,
4,
4,
2,
4,
3,
3,
2,
4,
5,
2,
3,
3,
3,
4,
3,
3,
4,
3,
3,
3,
2,
2,
3,
4,
6,
5,
2,
2,
3,
3,
2,
2,
2,
4,
4,
3,
4,
3,
2,
2,
3,
4,
2,
4,
4,
2,
5,
3,
2,
2,
3,
2,
2,
3,
2,
4,
4,
4,
3,
5,
4,
4,
4,
4,
4,
3,
4,
2,
3,
5,
4,
2,
4,
2,
2,
4,
5,
2,
2,
2,
2,
5,
2,
4,
4,
2,
3,
1,
3,
2,
2,
2,
4,
5,
2,
2,
4,
2,
4,
4,
5,
2,
2,
6,
2,
4,
2,
3,
4,
3,
3,
5,
5,
2,
4,
4,
3,
2,
2,
4,
5,
4,
3,
2,
2,
2,
4,
4,
4,
4,
2,
3,
3,
4,
2,
3,
3,
1,
3,
4,
3,
3,
3,
2,
8,
3,
2,
3,
5,
3,
3,
2,
2,
2,
2,
4,
3,
3,
2,
2,
4,
4,
4,
4,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
4,
3,
8,
4,
2,
2,
4,
2,
4,
5,
2,
3,
4,
2,
3,
3,
2,
3,
5,
2,
2,
4,
3,
3,
5,
4,
6,
3,
4,
4,
2,
6,
5,
2,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
4,
3,
4,
2,
4,
4,
3,
3,
2,
2,
6,
4,
3,
3,
3,
3,
2,
3,
4,
3,
3,
2,
2,
3,
3,
3,
3,
3,
2,
3,
4,
4,
3,
3,
4,
2,
2,
3,
2,
2,
2,
2,
3,
3,
4,
5,
4,
2,
2,
2,
4,
3,
2,
2,
6,
5,
4,
4,
5,
3,
3,
2,
3,
2,
2,
4,
4,
3,
3,
2,
3,
4,
3,
4,
2,
5,
5,
4,
2,
2,
2,
3,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
5,
5,
2,
2,
2,
2,
2,
2,
3,
5,
3,
3,
3,
2,
6,
5,
6,
5,
4,
3,
7,
4,
3,
5,
4,
6,
10,
6,
7,
2,
5,
5,
4,
2,
2,
3,
2,
7,
3,
2,
3,
3,
4,
8,
7,
4,
4,
3,
3,
2,
2,
4,
2,
6,
3,
2,
2,
5,
7,
2,
2,
5,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
4,
3,
6,
3,
4,
3,
6,
2,
7,
4,
8,
4,
4,
3,
2,
2,
5,
3,
3,
2,
2,
2,
2,
4,
5,
2,
2,
5,
4,
2,
2,
2,
10,
2,
6,
2,
4,
3,
2,
2,
2,
4,
2,
2,
3,
2,
3,
4,
3,
3,
4,
4,
2,
3,
1,
3,
6,
3,
3,
4,
4,
4,
2,
4,
3,
3,
2,
2,
2,
5,
6,
3,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
3,
5,
5,
4,
4,
3,
2,
2,
2,
4,
9,
9,
2,
2,
2,
2,
1,
3,
2,
4,
4,
3,
2,
2,
3,
2,
4,
4,
2,
4,
3,
3,
2,
2,
4,
4,
3,
4,
4,
2,
4,
3,
3,
3,
2,
4,
2,
2,
2,
4,
1,
2,
3,
4,
4,
2,
4,
4,
2,
2,
4,
2,
2,
3,
3,
4,
4,
3,
4,
3,
4,
4,
4,
2,
4,
6,
4,
4,
2,
4,
4,
3,
2,
4,
5,
3,
3,
3,
3,
2,
2,
3,
5,
3,
3,
3,
6,
4,
4,
2,
4,
3,
5,
2,
3,
2,
2,
2,
2,
3,
2,
3,
4,
4,
3,
4,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
2,
4,
3,
3,
2,
3,
4,
4,
1,
2,
2,
3,
5,
2,
8,
8,
8,
3,
4,
4,
2,
4,
3,
3,
4,
4,
4,
4,
2,
3,
4,
3,
4,
4,
5,
3,
4,
4,
3,
4,
4,
2,
2,
2,
2,
8,
4,
2,
7,
3,
4,
4,
5,
2,
2,
2,
4,
4,
2,
4,
6,
6,
2,
6,
3,
2,
4,
4,
4,
5,
2,
3,
6,
5,
3,
3,
4,
4,
4,
3,
3,
3,
3,
1,
1,
3,
3,
2,
2,
3,
2,
6,
4,
3,
5,
4,
4,
3,
4,
4,
1,
2,
2,
2,
2,
3,
5,
2,
3,
5,
5,
2,
4,
4,
4,
6,
4,
2,
2,
4,
4,
5,
6,
3,
4,
4,
3,
3,
4,
3,
4,
6,
2,
2,
2,
4,
4,
2,
4,
2,
2,
2,
4,
4,
6,
5,
4,
4,
4,
4,
3,
2,
4,
4,
2,
2,
2,
4,
3,
2,
3,
2,
3,
2,
4,
2,
2,
3,
3,
4,
3,
7,
7,
3,
2,
3,
4,
2,
4,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
3,
5,
2,
2,
4,
4,
3,
3,
3,
2,
4,
3,
2,
3,
2,
2,
4,
3,
2,
2,
3,
3,
4,
4,
4,
2,
2,
4,
2,
6,
5,
4,
5,
4,
4,
4,
4,
8,
8,
4,
6,
4,
2,
4,
6,
4,
4,
6,
5,
2,
2,
4,
4,
4,
3,
2,
2,
2,
5,
2,
2,
2,
2,
2,
3,
4,
4,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
7,
2,
2,
5,
3,
5,
3,
4,
4,
4,
6,
4,
3,
3,
2,
2,
2,
2,
3,
3,
5,
4,
4,
3,
3,
3,
2,
4,
2,
4,
2,
4,
4,
4,
5,
2,
4,
2,
4,
7,
3,
3,
5,
3,
2,
4,
4,
4,
4,
2,
3,
5,
4,
3,
2,
3,
6,
4,
4,
3,
3,
4,
4,
2,
5,
4,
7,
5,
4,
2,
3,
2,
2,
4,
3,
4,
2,
4,
3,
6,
4,
2,
1,
4,
4,
2,
2,
2,
3,
3,
4,
4,
2,
4,
2,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
6,
6,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
4,
4,
3,
3,
3,
4,
4,
3,
2,
3,
1,
3,
3,
4,
4,
3,
5,
3,
3,
4,
2,
4,
4,
4,
2,
6,
4,
2,
4,
3,
2,
4,
6,
3,
2,
4,
2,
3,
4,
2,
5,
4,
4,
4,
3,
3,
3,
2,
2,
3,
2,
3,
4,
2,
3,
2,
3,
3,
3,
4,
2,
1,
4,
2,
2,
2,
3,
7,
4,
4,
2,
6,
4,
2,
2,
3,
2,
2,
3,
4,
3,
6,
2,
4,
5,
2,
2,
2,
2,
2,
3,
6,
2,
4,
3,
2,
4,
4,
5,
4,
3,
3,
4,
4,
2,
3,
3,
2,
5,
8,
4,
6,
2,
3,
6,
3,
3,
2,
6,
3,
2,
2,
3,
3,
4,
3,
1,
3,
4,
3,
2,
3,
3,
2,
5,
4,
2,
2,
5,
3,
3,
3,
4,
2,
4,
3,
8,
4,
2,
1,
2,
2,
2,
4,
4,
2,
4,
4,
2,
5,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
5,
4,
2,
3,
2,
3,
4,
3,
3,
4,
5,
5,
4,
6,
6,
3,
2,
2,
4,
2,
2,
4,
4,
4,
2,
2,
3,
2,
2,
4,
2,
4,
3,
5,
3,
4,
5,
8,
2,
1,
2,
4,
5,
3,
3,
4,
4,
5,
3,
3,
4,
3,
3,
4,
3,
3,
2,
4,
4,
5,
2,
3,
4,
1,
5,
4,
4,
4,
3,
2,
2,
6,
3,
3,
3,
4,
2,
5,
5,
2,
3,
2,
3,
2,
4,
5,
3,
2,
3,
3,
2,
2,
3,
3,
3,
5,
4,
3,
3,
3,
2,
2,
2,
2,
3,
2,
4,
3,
3,
1,
1,
2,
2,
1,
2,
2,
2,
4,
4,
3,
3,
2,
2,
3,
3,
4,
4,
2,
3,
4,
5,
3,
2,
4,
2,
2,
2,
8,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
6,
3,
3,
2,
2,
4,
5,
2,
2,
4,
4,
3,
3,
3,
7,
7,
2,
7,
3,
2,
2,
2,
4,
5,
4,
2,
2,
2,
2,
2,
4,
5,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
4,
4,
2,
2,
4,
4,
2,
3,
6,
4,
3,
3,
4,
4,
4,
2,
3,
3,
4,
3,
2,
3,
3,
4,
4,
5,
3,
2,
4,
2,
4,
4,
5,
1,
2,
4,
5,
4,
3,
4,
4,
5,
5,
2,
4,
2,
4,
4,
4,
4,
4,
2,
3,
2,
4,
3,
3,
2,
3,
6,
3,
3,
3,
5,
2,
5,
4,
4,
4,
3,
4,
4,
4,
2,
3,
2,
4,
2,
3,
2,
3,
2,
2,
4,
2,
4,
2,
5,
4,
5,
6,
4,
4,
3,
4,
2,
2,
2,
3,
3,
2,
4,
4,
9,
4,
4,
4,
4,
2,
4,
5,
5,
2,
4,
3,
2,
2,
2,
2,
2,
7,
6,
3,
3,
1,
2,
4,
6,
3,
5,
5,
4,
3,
6,
4,
4,
2,
3,
3,
5,
5,
5,
5,
3,
4,
4,
4,
3,
5,
5,
2,
4,
3,
5,
2,
5,
2,
4,
2,
6,
6,
4,
3,
4,
2,
2,
2,
2,
7,
6,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
2,
2,
2,
3,
4,
3,
2,
3,
4,
4,
3,
2,
2,
4,
3,
4,
5,
3,
2,
3,
1,
2,
3,
3,
4,
3,
2,
4,
4,
4,
4,
3,
2,
8,
4,
2,
5,
4,
4,
3,
4,
4,
5,
2,
1,
4,
4,
2,
4,
2,
2,
2,
2,
3,
2,
4,
3,
4,
3,
3,
2,
3,
2,
2,
4,
4,
2,
3,
3,
2,
4,
2,
2,
4,
2,
4,
2,
2,
3,
2,
3,
2,
2,
3,
4,
4,
2,
4,
2,
4,
3,
7,
4,
4,
5,
4,
3,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
4,
2,
3,
2,
7,
3,
2,
3,
3,
4,
2,
3,
3,
6,
2,
4,
3,
3,
3,
3,
2,
2,
4,
3,
3,
2,
2,
2,
3,
2,
2,
2,
6,
6,
2,
2,
5,
4,
4,
4,
4,
7,
7,
4,
4,
4,
4,
4,
4,
2,
2,
4,
8,
5,
4,
4,
3,
4,
3,
4,
4,
4,
4,
3,
3,
3,
3,
4,
3,
2,
2,
1,
2,
4,
3,
3,
3,
3,
3,
2,
5,
4,
4,
4,
3,
3,
5,
5,
4,
4,
4,
4,
2,
6,
2,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
3,
3,
4,
4,
5,
3,
4,
4,
3,
2,
7,
3,
5,
4,
4,
5,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
8,
4,
4,
7,
2,
4,
3,
5,
6,
5,
3,
3,
2,
7,
5,
3,
2,
4,
3,
4,
3,
2,
2,
3,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
3,
6,
4,
4,
6,
7,
4,
4,
4,
4,
3,
3,
2,
4,
4,
3,
1,
3,
6,
3,
3,
3,
2,
5,
3,
2,
4,
2,
7,
4,
4,
2,
2,
2,
2,
3,
2,
4,
2,
2,
2,
2,
4,
4,
3,
1,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
4,
2,
2,
4,
4,
4,
4,
3,
6,
3,
3,
4,
2,
2,
2,
3,
2,
2,
4,
4,
4,
3,
3,
3,
3,
2,
4,
2,
4,
3,
5,
5,
3,
5,
4,
4,
5,
2,
3,
2,
3,
5,
5,
2,
3,
4,
4,
4,
3,
2,
6,
2,
3,
2,
2,
2,
4,
4,
6,
4,
3,
6,
2,
3,
2,
1,
4,
4,
3,
3,
4,
3,
3,
2,
2,
3,
2,
3,
3,
3,
3,
4,
3,
3,
4,
3,
2,
4,
4,
4,
8,
4,
5,
4,
4,
6,
3,
4,
4,
5,
2,
2,
4,
2,
2,
3,
3,
5,
5,
3,
4,
2,
2,
4,
4,
4,
4,
8,
6,
5,
4,
2,
4,
4,
4,
3,
2,
3,
2,
2,
2,
7,
2,
3,
4,
5,
4,
4,
4,
2,
3,
4,
3,
2,
3,
2,
2,
2,
4,
4,
4,
2,
2,
2,
4,
4,
4,
3,
3,
4,
4,
4,
2,
3,
3,
3,
4,
2,
2,
4,
4,
4,
4,
3,
2,
8,
2,
3,
4,
2,
2,
4,
3,
3,
4,
3,
3,
5,
5,
4,
4,
4,
2,
7,
4,
5,
4,
2,
2,
3,
2,
3,
5,
4,
4,
3,
3,
3,
2,
3,
3,
2,
4,
4,
4,
2,
3,
4,
4,
4,
3,
3,
4,
1,
2,
2,
2,
3,
2,
2,
2,
4,
2,
5,
2,
3,
3,
2,
2,
2,
5,
3,
1,
4,
4,
4,
4,
4,
3,
3,
2,
2,
3,
3,
2,
8,
1,
3,
4,
2,
2,
4,
3,
5,
4,
4,
4,
4,
4,
5,
3,
2,
3,
3,
3,
2,
1,
5,
5,
4,
4,
3,
4,
3,
4,
1,
2,
2,
3,
3,
4,
2,
5,
3,
4,
3,
3,
2,
3,
4,
4,
4,
4,
3,
3,
2,
2,
2,
3,
3,
2,
4,
4,
4,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
3,
8,
5,
3,
3,
2,
3,
3,
3,
7,
3,
3,
4,
4,
5,
5,
5,
2,
4,
2,
4,
2,
4,
4,
3,
2,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
4,
3,
3,
3,
2,
2,
4,
3,
4,
6,
4,
3,
3,
4,
4,
2,
4,
3,
2,
3,
3,
4,
5,
4,
4,
4,
4,
5,
4,
4,
4,
4,
4,
2,
2,
2,
4,
3,
4,
4,
2,
3,
4,
4,
2,
3,
3,
2,
5,
2,
2,
3,
4,
3,
4,
4,
7,
4,
2,
2,
4,
4,
4,
4,
4,
3,
3,
2,
3,
8,
6,
6,
5,
3,
5,
2,
2,
7,
4,
4,
3,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
3,
5,
5,
4,
4,
3,
2,
2,
4,
4,
4,
4,
5,
5,
5,
6,
3,
3,
4,
4,
5,
8,
4,
3,
4,
5,
2,
2,
2,
3,
2,
3,
7,
3,
5,
2,
3,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
4,
3,
2,
2,
4,
2,
4,
4,
4,
4,
2,
3,
3,
4,
1,
4,
2,
4,
2,
6,
3,
2,
2,
4,
4,
6,
2,
3,
4,
4,
4,
4,
4,
3,
4,
2,
4,
2,
3,
5,
3,
4,
4,
4,
5,
4,
5,
4,
4,
4,
3,
2,
2,
2,
4,
3,
3,
3,
4,
4,
3,
3,
1,
3,
4,
4,
3,
4,
4,
4,
2,
2,
4,
5,
4,
2,
4,
2,
4,
4,
4,
2,
3,
3,
5,
4,
3,
4,
4,
2,
3,
3,
4,
2,
4,
3,
6,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
7,
4,
4,
3,
3,
7,
4,
3,
3,
2,
3,
3,
3,
3,
4,
3,
2,
3,
2,
4,
2,
5,
5,
3,
2,
5,
4,
4,
4,
2,
4,
4,
4,
3,
2,
2,
4,
5,
8,
7,
4,
2,
2,
3,
3,
3,
3,
5,
3,
3,
4,
4,
2,
4,
2,
4,
4,
2,
2,
4,
4,
2,
2,
3,
4,
4,
2,
5,
2,
2,
4,
5,
3,
2,
6,
2,
4,
3,
3,
4,
3,
4,
3,
6,
3,
4,
4,
4,
5,
4,
2,
2,
3,
2,
4,
2,
4,
2,
3,
3,
2,
2,
2,
4,
3,
2,
7,
3,
1,
4,
3,
4,
6,
4,
4,
2,
4,
3,
5,
3,
3,
5,
3,
3,
3,
5,
3,
1,
7,
4,
4,
3,
3,
3,
3,
2,
2,
4,
5,
3,
3,
3,
4,
4,
4,
4,
3,
2,
3,
3,
4,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
4,
3,
3,
4,
4,
3,
2,
3,
3,
3,
3,
2,
4,
2,
2,
4,
7,
5,
3,
3,
4,
4,
5,
3,
3,
4,
2,
2,
2,
2,
4,
2,
4,
5,
3,
4,
3,
4,
8,
4,
4,
2,
2,
3,
4,
4,
1,
4,
4,
1,
3,
2,
3,
3,
3,
4,
4,
4,
3,
6,
5,
3,
4,
3,
2,
4,
2,
4,
4,
4,
4,
6,
6,
4,
3,
2,
3,
3,
4,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
4,
7,
5,
4,
2,
3,
4,
6,
3,
4,
2,
2,
2,
2,
2,
2,
4,
1,
3,
4,
2,
2,
1,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
4,
2,
2,
2,
4,
4,
4,
6,
6,
5,
5,
4,
7,
8,
1,
7,
8,
4,
4,
5,
2,
3,
3,
3,
4,
5,
4,
6,
9,
2,
2,
4,
4,
2,
4,
4,
3,
3,
3,
2,
2,
2,
3,
4,
4,
4,
3,
4,
2,
2,
4,
4,
4,
3,
4,
4,
4,
2,
3,
4,
2,
4,
4,
6,
5,
6,
3,
3,
4,
3,
4,
5,
5,
2,
3,
2,
3,
3,
3,
3,
2,
2,
2,
4,
2,
2,
3,
4,
2,
2,
2,
2,
2,
3,
3,
2,
6,
3,
4,
3,
2,
3,
2,
4,
3,
6,
3,
3,
3,
4,
3,
2,
3,
3,
3,
2,
2,
4,
2,
4,
5,
4,
3,
2,
2,
2,
5,
3,
4,
3,
3,
4,
3,
3,
4,
4,
3,
3,
2,
3,
3,
4,
10,
3,
3,
2,
1,
4,
3,
4,
4,
4,
4,
3,
2,
3,
2,
3,
3,
4,
2,
2,
4,
2,
3,
2,
3,
2,
3,
2,
2,
4,
3,
4,
2,
4,
4,
2,
4,
2,
7,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
2,
2,
4,
4,
8,
6,
4,
3,
5,
2,
4,
3,
3,
5,
3,
4,
4,
4,
6,
8,
5,
1,
4,
4,
2,
2,
2,
2,
7,
7,
2,
4,
2,
7,
3,
4,
4,
2,
4,
3,
4,
5,
4,
4,
5,
4,
4,
2,
4,
3,
3,
3,
5,
3,
3,
3,
2,
3,
2,
2,
3,
4,
5,
1,
4,
3,
2,
2,
4,
5,
5,
5,
4,
4,
2,
2,
2,
3,
3,
4,
4,
4,
2,
2,
4,
3,
5,
4,
2,
4,
2,
4,
2,
3,
2,
3,
2,
3,
3,
4,
4,
4,
1,
4,
1,
4,
4,
3,
3,
4,
4,
4,
4,
4,
3,
5,
2,
7,
2,
4,
2,
4,
4,
2,
4,
2,
2,
3,
4,
3,
2,
3,
3,
2,
4,
2,
2,
1,
2,
2,
6,
5,
3,
4,
2,
5,
3,
1,
3,
6,
2,
3,
3,
5,
3,
4,
3,
5,
2,
3,
4,
4,
4,
2,
6,
6,
4,
2,
6,
2,
4,
2,
2,
4,
4,
2,
3,
3,
4,
4,
3,
2,
2,
2,
6,
2,
4,
4,
4,
3,
2,
3,
3,
4,
2,
8,
3,
3,
4,
5,
3,
4,
2,
2,
4,
2,
3,
3,
3,
3,
3,
5,
4,
2,
2,
2,
2,
3,
3,
2,
2,
2,
3,
3,
4,
4,
5,
2,
2,
4,
4,
3,
4,
2,
2,
1,
2,
2,
4,
1,
4,
2,
4,
2,
4,
2,
4,
4,
3,
2,
1,
3,
2,
3,
3,
2,
3,
3,
5,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
5,
1,
4,
2,
5,
2,
4,
2,
3,
4,
3,
2,
4,
2,
4,
5,
2,
2,
3,
4,
4,
6,
4,
4,
4,
4,
4,
4,
5,
7,
5,
5,
4,
4,
2,
3,
3,
3,
4,
2,
4,
4,
4,
5,
4,
3,
3,
4,
5,
6,
4,
4,
3,
7,
4,
4,
4,
5,
4,
4,
6,
5,
5,
3,
3,
4,
4,
4,
6,
5,
5,
4,
6,
5,
3,
9,
6,
3,
3,
4,
3,
2,
4,
4,
4,
6,
3,
3,
3,
3,
3,
5,
3,
5,
6,
4,
2,
4,
4,
4,
4,
3,
2,
3,
2,
4,
6,
4,
6,
4,
2,
2,
4,
2,
4,
4,
2,
3,
3,
5,
4,
2,
4,
4,
5,
3,
3,
4,
4,
3,
5,
4,
2,
4,
4,
2,
3,
2,
2,
3,
2,
6,
7,
4,
4,
4,
4,
4,
2,
3,
3,
4,
4,
5,
2,
2,
3,
4,
3,
2,
4,
3,
3,
4,
2,
4,
3,
1,
5,
3,
4,
4,
8,
6,
4,
3,
2,
2,
2,
2,
2,
4,
4,
3,
2,
3,
2,
2,
5,
4,
5,
2,
3,
3,
3,
3,
2,
5,
4,
3,
3,
3,
3,
3,
3,
6,
2,
5,
2,
4,
4,
5,
4,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
3,
4,
4,
4,
3,
5,
3,
2,
5,
4,
4,
4,
3,
3,
3,
2,
4,
4,
4,
4,
4,
7,
3,
2,
2,
4,
2,
3,
4,
3,
2,
3,
3,
3,
3,
2,
6,
4,
2,
4,
4,
3,
3,
4,
2,
4,
5,
2,
3,
3,
4,
4,
5,
4,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
5,
4,
2,
2,
2,
3,
3,
3,
3,
5,
4,
4,
3,
3,
3,
3,
3,
3,
3,
9,
3,
4,
4,
4,
4,
3,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
6,
5,
3,
3,
3,
6,
3,
1,
2,
2,
2,
3,
2,
2,
3,
7,
8,
4,
4,
4,
5,
1,
2,
2,
3,
4,
2,
5,
5,
2,
2,
4,
4,
2,
3,
6,
3,
3,
3,
2,
3,
4,
2,
5,
3,
2,
2,
4,
2,
4,
2,
4,
3,
4,
3,
6,
2,
2,
1,
3,
3,
2,
4,
6,
2,
2,
3,
3,
3,
5,
2,
3,
2,
2,
4,
3,
2,
3,
6,
3,
4,
4,
4,
6,
4,
2,
2,
4,
6,
2,
3,
3,
3,
3,
3,
1,
2,
4,
4,
2,
3,
4,
4,
4,
2,
2,
2,
3,
2,
4,
4,
4,
2,
2,
5,
3,
2,
2,
1,
2,
2,
2,
4,
2,
2,
3,
2,
4,
4,
3,
2,
4,
4,
4,
5,
4,
2,
2,
2,
5,
3,
3,
3,
3,
2,
4,
4,
1,
4,
3,
3,
4,
4,
4,
3,
3,
4,
6,
4,
2,
6,
4,
3,
3,
2,
3,
4,
3,
4,
3,
3,
4,
4,
4,
2,
2,
4,
4,
4,
4,
2,
4,
4,
2,
3,
3,
3,
2,
4,
5,
2,
2,
2,
3,
4,
4,
4,
3,
1,
3,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
6,
4,
4,
4,
3,
3,
2,
4,
4,
3,
3,
4,
4,
4,
4,
2,
3,
6,
4,
2,
3,
3,
3,
3,
3,
2,
4,
4,
3,
3,
2,
3,
4,
2,
4,
3,
3,
2,
2,
2,
4,
4,
3,
3,
2,
4,
2,
3,
3,
3,
4,
3,
3,
3,
2,
5,
5,
2,
3,
4,
4,
4,
3,
3,
4,
2,
3,
2,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
2,
3,
5,
3,
3,
3,
2,
4,
4,
2,
2,
2,
4,
3,
3,
2,
3,
2,
4,
2,
3,
4,
7,
4,
3,
3,
4,
2,
2,
2,
3,
4,
3,
2,
2,
2,
4,
7,
3,
1,
4,
2,
2,
2,
3,
4,
4,
5,
2,
3,
4,
3,
3,
4,
7,
4,
4,
2,
3,
4,
3,
4,
2,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
3,
2,
2,
3,
2,
5,
5,
3,
2,
4,
2,
3,
4,
3,
4,
3,
2,
2,
2,
2,
4,
2,
4,
3,
3,
3,
4,
4,
4,
4,
5,
2,
3,
3,
7,
6,
6,
5,
7,
2,
2,
2,
4,
3,
2,
2,
4,
3,
3,
4,
3,
4,
4,
4,
1,
4,
6,
2,
2,
3,
5,
5,
6,
3,
3,
3,
4,
2,
2,
2,
5,
2,
3,
3,
2,
2,
2,
2,
3,
2,
4,
4,
8,
3,
2,
3,
2,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
4,
2,
5,
3,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
4,
5,
1,
4,
4,
3,
4,
3,
4,
2,
4,
3,
3,
4,
2,
2,
3,
3,
3,
4,
4,
3,
2,
2,
3,
5,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
5,
3,
5,
4,
4,
7,
3,
2,
2,
4,
3,
3,
2,
3,
5,
2,
3,
8,
4,
5,
3,
5,
2,
4,
5,
5,
5,
7,
4,
4,
4,
2,
2,
2,
2,
1,
2,
3,
2,
2,
3,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
4,
3,
2,
2,
6,
2,
4,
3,
5,
5,
7,
4,
4,
2,
4,
4,
2,
5,
4,
5,
5,
4,
4,
2,
3,
2,
2,
4,
2,
3,
5,
4,
3,
3,
4,
4,
2,
2,
4,
2,
2,
2,
4,
4,
4,
2,
4,
4,
4,
3,
4,
2,
4,
3,
4,
4,
3,
2,
2,
4,
4,
3,
4,
3,
5,
7,
2,
2,
3,
2,
3,
4,
2,
2,
2,
2,
3,
3,
3,
5,
3,
2,
4,
2,
3,
5,
2,
5,
3,
3,
2,
2,
2,
4,
2,
4,
2,
2,
2,
6,
2,
2,
2,
2,
2,
2,
2,
3,
4,
5,
3,
3,
3,
3,
4,
3,
4,
4,
4,
2,
3,
4,
2,
4,
3,
4,
5,
2,
4,
2,
5,
2,
2,
2,
2,
4,
6,
2,
4,
3,
2,
4,
2,
4,
3,
3,
4,
2,
5,
4,
4,
3,
3,
8,
4,
3,
3,
4,
3,
3,
3,
2,
3,
2,
3,
4,
5,
4,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
4,
3,
5,
4,
4,
7,
2,
3,
3,
2,
4,
3,
3,
2,
6,
3,
2,
4,
4,
3,
3,
2,
2,
2,
3,
4,
2,
4,
5,
2,
1,
2,
2,
4,
2,
4,
3,
3,
3,
2,
4,
4,
5,
3,
3,
3,
2,
2,
3,
2,
4,
3,
3,
2,
4,
3,
3,
4,
3,
2,
4,
4,
3,
3,
3,
3,
4,
3,
4,
6,
3,
2,
3,
2,
2,
6,
6,
5,
2,
4,
5,
3,
3,
3,
2,
4,
3,
4,
3,
4,
4,
4,
4,
2,
2,
4,
4,
2,
3,
4,
3,
2,
5,
4,
4,
2,
4,
2,
2,
4,
2,
2,
4,
3,
3,
3,
3,
2,
1,
4,
4,
4,
4,
2,
2,
4,
5,
3,
3,
3,
3,
4,
6,
3,
3,
2,
4,
3,
3,
5,
2,
2,
2,
3,
3,
3,
4,
3,
1,
4,
2,
1,
3,
4,
4,
4,
4,
5,
5,
6,
5,
3,
4,
2,
4,
4,
4,
6,
5,
2,
2,
4,
4,
4,
3,
7,
2,
4,
2,
4,
4,
4,
4,
3,
2,
4,
1,
3,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
3,
4,
2,
6,
2,
3,
4,
4,
3,
3,
4,
3,
5,
3,
4,
4,
2,
3,
3,
2,
7,
4,
4,
3,
5,
3,
2,
2,
2,
5,
4,
3,
4,
2,
5,
2,
2,
1,
2,
4,
2,
6,
6,
3,
1,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
8,
2,
2,
2,
6,
4,
8,
7,
8,
5,
2,
1,
1,
1,
4,
3,
1,
2,
4,
1,
5,
4,
4,
3,
2,
3,
3,
3,
4,
7,
9,
2,
4,
4,
3,
6,
4,
4,
2,
3,
2,
3,
3,
7,
3,
7,
2,
2,
2,
3,
3,
2,
2,
3,
3,
2,
3,
3,
1,
3,
2,
2,
2,
4,
6,
6,
2,
2,
3,
4,
3,
5,
5,
7,
3,
3,
5,
6,
2,
4,
4,
4,
3,
3,
3,
3,
2,
4,
2,
4,
2,
4,
2,
3,
2,
5,
2,
3,
3,
3,
3,
3,
2,
4,
4,
2,
2,
2,
4,
4,
3,
2,
3,
7,
4,
3,
2,
2,
2,
3,
2,
4,
1,
2,
2,
2,
4,
4,
4,
3,
3,
3,
4,
4,
5,
3,
4,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
2,
3,
1,
4,
4,
2,
2,
2,
2,
5,
3,
3,
2,
2,
3,
2,
3,
4,
2,
2,
2,
3,
2,
2,
3,
2,
1,
2,
6,
4,
4,
3,
3,
2,
2,
4,
2,
2,
2,
2,
3,
2,
3,
3,
2,
4,
3,
3,
3,
3,
2,
3,
3,
4,
3,
3,
5,
2,
3,
2,
2,
3,
6,
4,
4,
2,
3,
2,
4,
3,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
1,
4,
2,
7,
5,
3,
3,
2,
4,
4,
4,
4,
4,
2,
3,
5,
4,
2,
2,
2,
3,
2,
2,
4,
3,
4,
4,
1,
2,
2,
3,
2,
4,
4,
2,
2,
2,
4,
6,
2,
2,
2,
1,
2,
4,
4,
2,
4,
3,
7,
3,
3,
2,
3,
2,
2,
3,
5,
3,
4,
4,
4,
5,
4,
2,
3,
3,
2,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
6,
4,
5,
5,
2,
2,
4,
2,
3,
3,
3,
4,
1,
3,
3,
4,
2,
2,
4,
4,
3,
5,
6,
3,
5,
4,
3,
2,
2,
2,
4,
3,
2,
5,
5,
5,
4,
3,
4,
4,
4,
2,
5,
5,
5,
1,
3,
3,
4,
3,
4,
4,
3,
6,
4,
5,
5,
4,
4,
2,
3,
3,
2,
4,
4,
3,
2,
2,
2,
2,
2,
3,
4,
4,
2,
3,
2,
4,
5,
5,
4,
5,
3,
3,
3,
4,
3,
2,
4,
4,
4,
5,
3,
1,
5,
4,
5,
2,
5,
3,
3,
3,
4,
3,
2,
4,
4,
2,
2,
2,
6,
5,
5,
3,
2,
4,
2,
3,
1,
3,
2,
2,
2,
1,
5,
2,
2,
6,
4,
3,
2,
4,
2,
2,
4,
4,
3,
4,
2,
2,
3,
2,
2,
3,
3,
3,
4,
4,
6,
4,
5,
6,
3,
3,
3,
4,
2,
2,
2,
4,
3,
4,
3,
3,
4,
5,
2,
5,
4,
3,
3,
3,
3,
2,
2,
2,
2,
5,
3,
4,
3,
6,
4,
4,
7,
7,
3,
3,
2,
5,
5,
4,
4,
4,
3,
3,
2,
6,
4,
3,
3,
3,
3,
2,
4,
4,
3,
2,
2,
5,
3,
5,
7,
6,
2,
4,
5,
6,
4,
6,
4,
4,
2,
2,
3,
3,
3,
2,
3,
3,
2,
4,
1,
4,
4,
3,
2,
3,
5,
3,
2,
2,
2,
4,
3,
2,
2,
3,
1,
3,
4,
3,
4,
3,
3,
3,
4,
3,
3,
3,
3,
4,
2,
3,
3,
2,
2,
2,
8,
5,
4,
4,
2,
3,
4,
2,
3,
4,
4,
2,
2,
4,
4,
4,
3,
5,
2,
4,
5,
5,
4,
2,
3,
2,
4,
3,
3,
4,
2,
2,
1,
2,
2,
2,
3,
2,
4,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
2,
3,
5,
4,
3,
3,
3,
4,
3,
4,
2,
3,
4,
3,
3,
2,
3,
2,
2,
4,
2,
2,
2,
2,
6,
4,
2,
4,
4,
2,
1,
2,
6,
4,
4,
4,
4,
3,
2,
2,
2,
4,
4,
2,
4,
4,
2,
2,
5,
3,
4,
2,
2,
2,
2,
3,
2,
3,
4,
5,
4,
3,
3,
2,
3,
1,
6,
2,
2,
4,
3,
3,
3,
3,
4,
4,
3,
3,
4,
4,
4,
8,
8,
4,
3,
6,
3,
5,
4,
6,
3,
1,
3,
4,
3,
2,
2,
6,
4,
5,
3,
3,
3,
2,
3,
3,
4,
3,
3,
3,
4,
4,
5,
4,
2,
3,
4,
2,
2,
2,
6,
4,
2,
4,
3,
3,
3,
2,
5,
2,
2,
2,
4,
3,
3,
3,
3,
2,
3,
2,
2,
3,
3,
3,
4,
2,
4,
4,
4,
3,
3,
2,
3,
3,
2,
3,
4,
2,
5,
6,
4,
5,
3,
3,
4,
3,
2,
2,
4,
2,
3,
3,
4,
2,
2,
2,
6,
3,
5,
2,
3,
4,
2,
2,
3,
3,
2,
2,
3,
4,
4,
3,
2,
6,
4,
4,
3,
3,
4,
2,
2,
2,
4,
2,
2,
2,
4,
3,
2,
2,
2,
4,
2,
4,
4,
4,
2,
5,
4,
4,
4,
3,
3,
3,
4,
3,
4,
2,
2,
2,
2,
2,
2,
5,
2,
4,
7,
2,
4,
4,
4,
4,
5,
3,
3,
3,
3,
3,
2,
2,
4,
3,
2,
3,
3,
3,
2,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
4,
3,
5,
2,
2,
2,
2,
3,
3,
5,
5,
6,
3,
4,
2,
3,
2,
2,
2,
3,
7,
3,
1,
2,
2,
3,
2,
4,
4,
5,
2,
4,
3,
3,
4,
4,
4,
4,
6,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
4,
5,
3,
3,
5,
5,
3,
2,
2,
3,
3,
4,
2,
2,
4,
2,
2,
1,
2,
3,
2,
4,
2,
1,
2,
2,
4,
4,
5,
4,
2,
3,
2,
5,
5,
3,
5,
4,
4,
2,
4,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
3,
2,
3,
4,
3,
4,
4,
2,
4,
4,
4,
5,
2,
2,
4,
3,
3,
3,
2,
4,
5,
3,
4,
3,
3,
2,
5,
2,
2,
2,
4,
5,
8,
3,
4,
4,
4,
3,
3,
3,
3,
5,
5,
4,
4,
4,
4,
2,
3,
4,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
5,
3,
2,
2,
2,
2,
1,
3,
4,
4,
6,
2,
3,
2,
3,
3,
7,
7,
4,
4,
3,
2,
3,
4,
4,
3,
4,
2,
3,
2,
2,
3,
3,
4,
4,
3,
5,
5,
2,
4,
4,
2,
2,
4,
4,
4,
5,
2,
4,
3,
3,
4,
4,
4,
3,
2,
4,
2,
2,
1,
2,
2,
2,
2,
3,
3,
2,
4,
2,
2,
1,
3,
5,
3,
4,
3,
3,
3,
4,
5,
4,
8,
2,
2,
4,
4,
7,
3,
4,
4,
5,
2,
2,
5,
2,
2,
5,
4,
4,
4,
4,
2,
2,
3,
4,
3,
2,
2,
2,
2,
3,
2,
4,
4,
7,
3,
2,
2,
2,
7,
4,
4,
3,
2,
4,
2,
2,
2,
3,
3,
5,
3,
5,
3,
4,
1,
4,
4,
2,
4,
2,
2,
3,
5,
5,
2,
4,
4,
5,
3,
4,
4,
4,
4,
3,
3,
4,
6,
2,
4,
3,
4,
6,
6,
3,
3,
4,
4,
1,
1,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
5,
4,
2,
2,
2,
4,
4,
2,
4,
4,
4,
3,
2,
3,
3,
3,
4,
2,
3,
4,
4,
3,
3,
3,
3,
3,
2,
3,
3,
1,
5,
3,
5,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
3,
2,
5,
2,
4,
3,
4,
4,
4,
3,
3,
2,
2,
4,
4,
5,
2,
2,
2,
3,
4,
2,
1,
2,
2,
2,
4,
3,
4,
2,
2,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
4,
5,
4,
2,
4,
4,
5,
2,
3,
4,
4,
3,
4,
3,
2,
4,
3,
3,
4,
2,
3,
4,
3,
3,
3,
3,
3,
3,
2,
1,
3,
4,
3,
7,
5,
4,
4,
3,
3,
2,
2,
4,
4,
2,
3,
4,
2,
4,
3,
3,
3,
2,
4,
4,
4,
3,
2,
3,
4,
2,
2,
2,
2,
4,
3,
5,
4,
4,
3,
4,
4,
4,
3,
2,
2,
2,
4,
1,
2,
5,
2,
2,
2,
2,
2,
7,
3,
4,
3,
4,
2,
2,
4,
3,
3,
4,
4,
2,
2,
2,
3,
3,
4,
4,
4,
2,
4,
2,
2,
4,
2,
2,
4,
4,
3,
2,
3,
5,
5,
4,
2,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
7,
3,
2,
2,
2,
4,
2,
2,
2,
3,
4,
4,
3,
6,
4,
3,
7,
3,
2,
4,
4,
4,
2,
2,
2,
2,
1,
5,
6,
5,
2,
4,
3,
4,
2,
4,
2,
1,
4,
1,
4,
5,
3,
4,
4,
4,
3,
6,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
3,
2,
2,
6,
4,
5,
4,
2,
4,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
3,
3,
2,
3,
4,
4,
3,
2,
2,
4,
4,
3,
2,
3,
3,
2,
4,
4,
2,
4,
8,
4,
7,
5,
6,
5,
4,
3,
3,
2,
5,
4,
3,
4,
3,
4,
3,
3,
2,
4,
3,
3,
4,
4,
3,
3,
3,
3,
2,
3,
4,
2,
2,
3,
4,
4,
4,
4,
4,
3,
3,
3,
2,
4,
4,
2,
2,
4,
5,
2,
2,
2,
5,
3,
3,
5,
4,
3,
4,
2,
2,
2,
4,
4,
1,
2,
4,
2,
4,
4,
2,
2,
4,
4,
2,
2,
2,
6,
2,
3,
2,
1,
2,
2,
3,
2,
2,
3,
3,
3,
2,
2,
4,
3,
5,
5,
3,
3,
3,
3,
4,
4,
3,
3,
4,
2,
2,
3,
3,
3,
5,
3,
3,
4,
4,
5,
3,
4,
5,
2,
5,
3,
3,
2,
3,
3,
2,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
3,
2,
5,
2,
2,
5,
5,
5,
4,
2,
6,
6,
3,
2,
2,
4,
2,
5,
5,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
5,
4,
3,
3,
2,
2,
2,
3,
4,
2,
3,
4,
4,
3,
2,
2,
6,
2,
2,
4,
2,
2,
2,
4,
3,
5,
6,
6,
6,
3,
2,
4,
2,
4,
5,
2,
2,
4,
2,
4,
5,
5,
2,
4,
4,
4,
4,
4,
2,
2,
4,
5,
3,
4,
4,
2,
2,
2,
2,
3,
2,
3,
4,
3,
3,
3,
2,
2,
4,
8,
2,
3,
3,
3,
4,
4,
5,
4,
4,
4,
4,
2,
4,
3,
2,
2,
2,
2,
8,
3,
4,
4,
2,
2,
2,
4,
3,
2,
4,
4,
2,
3,
2,
2,
4,
3,
3,
1,
6,
7,
7,
4,
3,
4,
2,
5,
6,
6,
4,
4,
3,
4,
4,
4,
4,
3,
3,
3,
3,
7,
4,
2,
4,
4,
4,
1,
2,
2,
3,
2,
3,
3,
4,
2,
4,
5,
3,
3,
4,
3,
3,
2,
2,
2,
2,
6,
2,
2,
2,
4,
3,
4,
4,
4,
4,
3,
2,
2,
5,
3,
2,
2,
4,
4,
3,
3,
3,
4,
3,
5,
2,
5,
2,
5,
4,
2,
5,
3,
4,
7,
2,
2,
3,
3,
2,
3,
3,
2,
3,
2,
3,
2,
3,
3,
4,
2,
5,
4,
3,
3,
2,
2,
4,
3,
2,
3,
3,
2,
2,
2,
3,
3,
4,
4,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
7,
4,
4,
4,
3,
3,
3,
5,
3,
4,
4,
2,
2,
4,
4,
2,
4,
7,
2,
4,
3,
3,
3,
4,
2,
3,
4,
3,
2,
1,
5,
2,
4,
3,
5,
6,
2,
3,
3,
4,
4,
4,
4,
4,
2,
3,
4,
2,
2,
4,
3,
3,
2,
2,
2,
2,
3,
4,
2,
2,
3,
5,
5,
3,
3,
2,
2,
3,
2,
8,
2,
3,
4,
6,
2,
5,
5,
5,
2,
4,
4,
2,
4,
3,
4,
4,
3,
3,
7,
2,
3,
5,
2,
1,
2,
3,
1,
3,
1,
1,
4,
3,
2,
2,
2,
4,
2,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
9,
6,
4,
4,
3,
3,
4,
4,
4,
4,
3,
2,
4,
2,
2,
2,
2,
4,
2,
4,
7,
5,
4,
4,
4,
5,
4,
4,
4,
3,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
3,
4,
2,
2,
6,
5,
2,
2,
4,
4,
5,
3,
2,
3,
3,
4,
4,
2,
5,
5,
2,
3,
5,
4,
3,
3,
3,
3,
2,
4,
4,
2,
4,
4,
2,
3,
4,
2,
2,
4,
4,
4,
3,
4,
2,
2,
5,
7,
5,
6,
4,
4,
6,
6,
5,
3,
2,
2,
2,
4,
4,
4,
3,
3,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
6,
3,
3,
2,
3,
2,
2,
4,
5,
6,
4,
2,
3,
4,
2,
2,
3,
4,
2,
2,
4,
8,
4,
4,
4,
4,
2,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
5,
3,
4,
3,
2,
3,
4,
3,
3,
3,
4,
3,
3,
2,
5,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
3,
2,
2,
4,
4,
2,
2,
3,
4,
5,
4,
2,
2,
3,
4,
3,
2,
4,
2,
4,
3,
3,
4,
4,
4,
2,
3,
3,
2,
4,
3,
3,
4,
4,
4,
3,
4,
3,
3,
5,
5,
3,
3,
3,
4,
4,
2,
4,
4,
4,
4,
2,
5,
3,
1,
2,
2,
3,
2,
3,
3,
3,
3,
6,
2,
2,
3,
2,
2,
6,
2,
3,
3,
5,
4,
5,
2,
4,
2,
3,
2,
3,
4,
4,
2,
3,
2,
3,
2,
2,
2,
5,
4,
5,
4,
3,
6,
5,
4,
7,
3,
3,
4,
2,
3,
3,
4,
2,
2,
2,
5,
2,
4,
2,
6,
3,
4,
2,
2,
3,
2,
2,
3,
4,
2,
2,
6,
3,
4,
4,
4,
3,
6,
2,
4,
4,
3,
3,
5,
4,
6,
4,
3,
4,
3,
2,
2,
6,
3,
5,
5,
1,
2,
4,
2,
3,
3,
4,
4,
2,
2,
2,
4,
2,
4,
6,
7,
4,
4,
3,
3,
4,
6,
3,
2,
4,
4,
3,
4,
2,
2,
4,
2,
4,
2,
2,
4,
3,
4,
4,
2,
4,
3,
2,
4,
5,
4,
2,
3,
1,
3,
4,
2,
2,
4,
4,
4,
4,
4,
5,
3,
3,
5,
3,
2,
4,
2,
2,
2,
4,
3,
2,
3,
3,
2,
3,
3,
3,
6,
8,
4,
2,
4,
4,
3,
4,
5,
3,
4,
3,
6,
6,
2,
4,
2,
3,
3,
3,
2,
3,
2,
2,
2,
5,
3,
2,
3,
3,
2,
4,
4,
4,
4,
5,
5,
3,
3,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
5,
2,
4,
5,
4,
3,
2,
4,
2,
2,
2,
3,
4,
2,
5,
6,
4,
3,
4,
2,
2,
4,
4,
3,
3,
2,
2,
1,
4,
4,
4,
4,
4,
7,
3,
4,
4,
2,
5,
3,
2,
2,
2,
3,
2,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
3,
3,
3,
5,
3,
4,
4,
3,
3,
2,
5,
5,
5,
2,
2,
3,
2,
3,
6,
2,
2,
4,
3,
3,
3,
4,
3,
3,
3,
3,
7,
3,
2,
3,
2,
2,
3,
3,
2,
2,
3,
3,
6,
3,
3,
3,
3,
3,
3,
1,
5,
5,
1,
1,
4,
4,
1,
3,
3,
6,
4,
3,
5,
3,
5,
4,
5,
2,
8,
2,
4,
4,
4,
3,
2,
4,
3,
4,
2,
4,
3,
3,
4,
2,
3,
4,
4,
4,
5,
2,
4,
3,
2,
3,
2,
4,
2,
5,
4,
7,
5,
2,
4,
4,
4,
1,
1,
3,
4,
4,
3,
2,
3,
1,
6,
8,
8,
4,
2,
2,
3,
4,
4,
2,
4,
2,
4,
4,
3,
3,
4,
4,
4,
3,
4,
2,
5,
5,
3,
4,
4,
5,
5,
4,
3,
4,
4,
5,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
2,
2,
5,
5,
3,
2,
5,
5,
4,
4,
3,
3,
3,
2,
4,
2,
4,
2,
4,
4,
2,
2,
2,
3,
3,
3,
2,
4,
4,
2,
6,
3,
4,
3,
3,
3,
4,
4,
3,
2,
2,
4,
2,
4,
5,
3,
3,
3,
5,
5,
2,
1,
2,
4,
2,
3,
2,
4,
6,
4,
4,
3,
3,
3,
7,
6,
2,
2,
4,
4,
2,
4,
4,
2,
2,
4,
3,
3,
2,
4,
3,
3,
2,
2,
2,
4,
4,
3,
3,
3,
2,
3,
2,
1,
2,
4,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
5,
5,
5,
3,
7,
4,
4,
2,
2,
3,
4,
2,
5,
2,
2,
2,
3,
3,
2,
3,
2,
2,
8,
4,
4,
2,
4,
5,
5,
5,
4,
4,
2,
3,
3,
4,
5,
5,
5,
5,
3,
2,
2,
3,
3,
3,
3,
4,
4,
2,
2,
3,
2,
2,
3,
3,
4,
5,
4,
2,
4,
2,
8,
6,
4,
2,
3,
5,
2,
4,
4,
3,
3,
3,
2,
2,
4,
3,
3,
3,
3,
1,
2,
1,
2,
2,
3,
4,
4,
2,
4,
6,
2,
5,
9,
4,
2,
4,
4,
4,
3,
3,
3,
6,
3,
3,
2,
6,
4,
3,
3,
4,
5,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
4,
2,
3,
3,
4,
5,
3,
3,
3,
7,
7,
7,
3,
2,
4,
2,
5,
5,
2,
3,
4,
4,
3,
2,
3,
3,
2,
5,
3,
4,
6,
2,
3,
2,
4,
5,
4,
4,
3,
4,
2,
2,
2,
3,
3,
3,
3,
2,
6,
3,
4,
4,
4,
3,
5,
3,
6,
3,
3,
5,
4,
4,
3,
4,
6,
2,
2,
4,
4,
4,
4,
3,
4,
3,
4,
3,
3,
3,
4,
5,
4,
4,
4,
4,
5,
5,
4,
2,
5,
4,
4,
2,
3,
4,
2,
2,
2,
3,
4,
6,
4,
5,
5,
5,
5,
2,
2,
2,
3,
3,
4,
4,
4,
2,
4,
5,
3,
4,
4,
4,
3,
2,
2,
4,
4,
2,
2,
2,
4,
2,
2,
4,
4,
4,
3,
3,
3,
2,
2,
6,
2,
2,
4,
4,
5,
5,
3,
4,
4,
4,
4,
3,
4,
3,
3,
3,
4,
3,
2,
4,
3,
3,
3,
2,
6,
2,
3,
4,
4,
2,
4,
2,
2,
3,
4,
2,
2,
2,
2,
3,
3,
2,
4,
2,
2,
4,
4,
4,
5,
3,
3,
4,
3,
2,
2,
2,
4,
4,
2,
3,
5,
2,
2,
2,
2,
2,
2,
2,
6,
4,
3,
3,
4,
2,
3,
2,
4,
4,
4,
2,
3,
3,
3,
3,
3,
4,
2,
4,
1,
1,
4,
4,
3,
5,
5,
5,
3,
2,
4,
4,
6,
8,
2,
2,
4,
5,
2,
5,
5,
1,
2,
2,
2,
2,
5,
4,
7,
5,
2,
2,
4,
3,
3,
3,
3,
4,
6,
6,
5,
3,
5,
3,
4,
3,
2,
3,
4,
3,
3,
3,
3,
5,
2,
4,
4,
4,
5,
3,
5,
3,
3,
2,
4,
6,
4,
2,
3,
3,
3,
3,
4,
4,
2,
3,
4,
3,
2,
2,
3,
3,
2,
4,
4,
5,
3,
4,
3,
3,
3,
3,
3,
4,
8,
4,
4,
4,
2,
2,
3,
3,
4,
4,
3,
3,
3,
4,
4,
3,
5,
4,
5,
2,
6,
4,
4,
3,
3,
2,
2,
2,
5,
2,
3,
2,
2,
2,
2,
3,
4,
4,
2,
3,
2,
2,
4,
4,
5,
3,
6,
4,
3,
3,
6,
3,
7,
7,
2,
3,
2,
1,
5,
4,
5,
5,
4,
5,
4,
5,
2,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
8,
3,
4,
4,
3,
2,
3,
3,
4,
4,
4,
3,
3,
4,
3,
4,
3,
4,
5,
2,
2,
7,
4,
2,
3,
2,
6,
7,
8,
8,
2,
2,
2,
3,
3,
4,
7,
3,
3,
5,
2,
6,
3,
4,
4,
2,
5,
5,
4,
4,
4,
2,
4,
4,
9,
2,
4,
2,
3,
5,
5,
5,
3,
7,
1,
3,
4,
4,
4,
7,
2,
2,
3,
4,
4,
4,
2,
5,
4,
2,
4,
5,
5,
3,
2,
3,
2,
3,
3,
3,
3,
2,
5,
4,
4,
2,
2,
3,
4,
4,
4,
5,
3,
3,
2,
4,
4,
5,
7,
3,
2,
4,
2,
4,
4,
4,
5,
4,
2,
4,
5,
6,
3,
3,
4,
4,
4,
4,
2,
6,
6,
4,
4,
4,
3,
3,
3,
3,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
2,
4,
4,
2,
1,
4,
3,
4,
4,
2,
2,
4,
6,
3,
4,
2,
2,
3,
4,
3,
2,
4,
6,
4,
4,
4,
3,
2,
2,
3,
3,
3,
3,
4,
5,
6,
3,
6,
2,
4,
3,
4,
4,
3,
4,
9,
4,
6,
4,
5,
3,
4,
4,
4,
5,
3,
2,
2,
4,
3,
5,
3,
4,
4,
5,
4,
3,
3,
4,
5,
4,
3,
3,
3,
2,
4,
4,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
8,
3,
4,
4,
4,
4,
5,
3,
4,
6,
6,
4,
4,
3,
5,
3,
3,
4,
4,
2,
6,
4,
3,
3,
4,
6,
5,
3,
5,
3,
4,
4,
4,
3,
3,
3,
3,
5,
5,
4,
2,
5,
4,
3,
5,
4,
3,
2,
9,
1,
2,
2,
3,
3,
2,
3,
4,
4,
4,
3,
4,
5,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
4,
3,
2,
2,
1,
4,
2,
2,
2,
2,
2,
3,
2,
3,
4,
2,
3,
2,
3,
1,
1,
3,
4,
4,
4,
3,
2,
2,
2,
3,
4,
2,
4,
4,
2,
2,
2,
5,
4,
2,
2,
4,
4,
4,
4,
3,
2,
2,
2,
4,
4,
4,
3,
4,
4,
4,
2,
5,
4,
2,
4,
4,
4,
2,
3,
3,
2,
2,
4,
2,
2,
2,
2,
5,
4,
4,
4,
2,
2,
4,
3,
4,
3,
4,
1,
3,
6,
3,
5,
3,
6,
2,
2,
3,
2,
3,
4,
4,
3,
5,
5,
4,
4,
3,
3,
3,
3,
3,
2,
4,
3,
3,
4,
2,
2,
7,
2,
3,
3,
3,
6,
7,
2,
2,
2,
2,
3,
4,
4,
3,
3,
4,
5,
5,
4,
2,
4,
4,
4,
6,
2,
2,
3,
3,
3,
2,
2,
2,
1,
6,
3,
2,
3,
3,
5,
2,
4,
2,
2,
2,
3,
4,
2,
2,
4,
3,
5,
1,
3,
4,
4,
4,
3,
2,
3,
5,
2,
3,
4,
4,
4,
4,
2,
2,
2,
6,
2,
3,
3,
3,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
3,
3,
4,
5,
2,
4,
4,
4,
6,
2,
4,
3,
3,
3,
3,
3,
5,
4,
2,
3,
3,
2,
3,
2,
3,
2,
2,
2,
6,
7,
4,
3,
3,
3,
4,
4,
2,
4,
2,
2,
3,
4,
2,
4,
4,
3,
3,
3,
3,
3,
2,
4,
2,
4,
4,
3,
3,
2,
4,
2,
2,
7,
2,
3,
2,
2,
4,
3,
3,
7,
3,
3,
4,
3,
2,
2,
2,
5,
2,
3,
3,
3,
4,
4,
4,
4,
4,
3,
5,
4,
3,
4,
4,
2,
2,
4,
3,
2,
3,
2,
2,
2,
2,
4,
2,
3,
4,
2,
3,
2,
5,
3,
4,
4,
3,
3,
3,
3,
3,
5,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
2,
3,
2,
4,
2,
5,
2,
2,
1,
2,
2,
2,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
4,
4,
3,
5,
3,
3,
3,
3,
2,
3,
2,
3,
4,
4,
2,
4,
3,
1,
2,
3,
3,
3,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
5,
3,
2,
3,
3,
3,
5,
4,
2,
2,
4,
2,
2,
4,
3,
3,
4,
2,
2,
4,
3,
3,
2,
4,
4,
3,
3,
3,
2,
2,
7,
3,
3,
2,
2,
2,
3,
3,
4,
4,
4,
4,
4,
2,
2,
3,
4,
3,
3,
3,
4,
4,
3,
4,
3,
2,
4,
4,
3,
2,
2,
4,
4,
2,
4,
3,
5,
2,
6,
2,
2,
4,
4,
4,
2,
4,
2,
2,
4,
2,
2,
2,
4,
3,
4,
2,
3,
2,
3,
6,
1,
4,
4,
7,
7,
4,
4,
4,
4,
2,
3,
3,
3,
3,
5,
3,
4,
4,
2,
2,
4,
2,
4,
4,
1,
2,
4,
2,
2,
3,
4,
4,
4,
2,
3,
4,
5,
3,
2,
3,
5,
3,
3,
3,
5,
3,
3,
4,
4,
5,
4,
4,
4,
3,
3,
5,
2,
6,
3,
4,
3,
2,
1,
4,
2,
3,
4,
2,
4,
2,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
2,
7,
4,
3,
5,
2,
2,
2,
2,
4,
2,
3,
4,
4,
2,
4,
3,
3,
5,
6,
3,
5,
7,
3,
2,
4,
4,
4,
3,
4,
4,
3,
3,
3,
5,
2,
3,
2,
4,
4,
4,
4,
3,
2,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
2,
5,
6,
4,
3,
7,
7,
4,
4,
2,
3,
3,
2,
4,
2,
3,
2,
2,
2,
4,
4,
6,
4,
5,
3,
3,
2,
2,
5,
5,
4,
3,
4,
5,
7,
3,
2,
3,
4,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
5,
5,
4,
2,
4,
6,
4,
4,
2,
4,
4,
3,
6,
4,
2,
4,
4,
2,
3,
3,
3,
3,
3,
2,
4,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
5,
2,
2,
5,
2,
4,
2,
2,
2,
3,
4,
4,
2,
2,
2,
2,
5,
4,
4,
2,
2,
2,
5,
4,
3,
3,
2,
4,
3,
4,
4,
4,
2,
5,
5,
4,
4,
4,
4,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
5,
4,
4,
4,
1,
4,
5,
5,
4,
4,
4,
5,
3,
5,
2,
3,
2,
4,
2,
8,
4,
4,
4,
4,
2,
4,
3,
2,
6,
4,
4,
2,
4,
3,
4,
4,
4,
3,
3,
4,
4,
3,
2,
2,
2,
3,
2,
3,
3,
3,
3,
2,
2,
3,
3,
1,
2,
2,
2,
3,
2,
2,
5,
3,
4,
2,
3,
7,
2,
6,
4,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
2,
3,
5,
4,
4,
4,
3,
3,
4,
4,
5,
3,
3,
3,
3,
3,
2,
3,
8,
7,
8,
9,
2,
4,
2,
4,
4,
3,
4,
3,
3,
7,
4,
5,
4,
4,
6,
4,
4,
2,
4,
3,
3,
3,
6,
6,
2,
2,
2,
3,
3,
6,
4,
2,
3,
6,
4,
2,
2,
5,
2,
4,
3,
4,
3,
2,
2,
4,
3,
4,
4,
4,
2,
3,
3,
2,
4,
3,
4,
6,
2,
2,
4,
3,
2,
3,
2,
1,
3,
4,
3,
2,
2,
3,
2,
3,
3,
3,
2,
4,
4,
6,
5,
4,
2,
2,
3,
3,
3,
3,
3,
4,
4,
5,
4,
3,
4,
7,
6,
4,
8,
3,
2,
3,
2,
2,
2,
4,
3,
2,
4,
4,
4,
4,
3,
4,
5,
2,
2,
2,
2,
4,
4,
2,
4,
2,
2,
3,
2,
4,
4,
6,
8,
2,
2,
2,
4,
4,
3,
4,
4,
4,
3,
6,
4,
3,
3,
4,
4,
4,
6,
4,
4,
6,
4,
2,
2,
2,
3,
4,
2,
4,
3,
3,
4,
2,
2,
6,
3,
2,
2,
3,
4,
2,
2,
4,
5,
2,
2,
4,
2,
2,
4,
4,
4,
2,
3,
4,
3,
2,
3,
4,
2,
5,
2,
7,
3,
6,
3,
3,
4,
2,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
2,
2,
4,
2,
3,
2,
4,
4,
2,
4,
5,
5,
3,
2,
4,
4,
3,
2,
2,
4,
3,
2,
4,
2,
2,
2,
2,
2,
5,
4,
2,
2,
4,
1,
2,
2,
2,
4,
5,
4,
3,
8,
8,
1,
1,
4,
4,
2,
2,
2,
3,
2,
3,
2,
3,
2,
2,
3,
3,
2,
2,
4,
3,
4,
4,
3,
6,
3,
4,
4,
2,
4,
2,
3,
3,
2,
3,
3,
4,
3,
2,
6,
2,
2,
1,
3,
2,
3,
2,
4,
5,
4,
4,
4,
3,
3,
4,
4,
4,
2,
2,
2,
4,
2,
2,
4,
8,
3,
5,
4,
2,
4,
4,
3,
4,
4,
3,
4,
2,
5,
4,
2,
4,
3,
2,
4,
2,
2,
4,
4,
8,
3,
5,
3,
5,
4,
4,
6,
3,
5,
2,
4,
3,
3,
2,
2,
3,
2,
3,
3,
2,
4,
4,
3,
4,
2,
2,
2,
2,
4,
2,
4,
4,
3,
4,
6,
2,
2,
2,
3,
3,
3,
3,
5,
4,
5,
2,
2,
4,
6,
3,
3,
2,
3,
3,
4,
3,
2,
2,
6,
3,
5,
4,
2,
1,
2,
4,
4,
3,
3,
2,
2,
3,
3,
2,
5,
4,
7,
4,
4,
5,
6,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
6,
3,
2,
2,
2,
4,
4,
6,
3,
2,
2,
3,
3,
2,
3,
2,
4,
5,
4,
2,
2,
3,
3,
6,
7,
3,
7,
4,
4,
4,
3,
3,
4,
2,
3,
4,
2,
4,
3,
2,
3,
2,
4,
2,
3,
3,
5,
4,
3,
5,
3,
6,
4,
7,
2,
5,
4,
3,
3,
2,
2,
3,
2,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
4,
3,
3,
3,
7,
2,
2,
2,
4,
2,
2,
3,
4,
3,
3,
3,
2,
3,
2,
2,
3,
3,
3,
4,
2,
3,
4,
3,
2,
2,
3,
2,
4,
2,
3,
4,
7,
4,
2,
3,
1,
3,
5,
2,
2,
3,
3,
2,
2,
4,
3,
4,
4,
4,
2,
2,
3,
2,
3,
2,
3,
2,
4,
4,
2,
3,
2,
2,
5,
3,
4,
2,
3,
2,
4,
4,
4,
4,
3,
2,
3,
4,
3,
3,
2,
2,
3,
2,
3,
4,
2,
4,
2,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
3,
2,
2,
4,
4,
3,
5,
5,
3,
2,
4,
7,
5,
5,
4,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
4,
3,
2,
4,
4,
2,
2,
2,
2,
2,
4,
2,
7,
2,
1,
3,
6,
6,
4,
4,
6,
2,
3,
2,
4,
4,
4,
4,
2,
3,
5,
3,
2,
3,
5,
4,
4,
2,
4,
4,
3,
3,
2,
2,
2,
4,
3,
7,
4,
3,
2,
4,
3,
4,
5,
3,
3,
5,
7,
7,
2,
2,
4,
3,
3,
7,
5,
4,
3,
2,
2,
7,
5,
6,
5,
7,
4,
2,
4,
4,
2,
2,
4,
4,
2,
2,
4,
4,
5,
3,
3,
3,
4,
4,
5,
2,
2,
4,
4,
4,
2,
3,
3,
3,
4,
5,
4,
4,
2,
3,
2,
4,
2,
4,
4,
4,
4,
3,
2,
2,
4,
2,
3,
3,
4,
5,
5,
3,
3,
6,
3,
4,
4,
2,
4,
4,
3,
4,
4,
4,
3,
4,
5,
4,
2,
2,
3,
3,
3,
4,
4,
3,
2,
2,
4,
4,
5,
3,
3,
2,
4,
4,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
4,
3,
2,
2,
2,
5,
2,
2,
2,
2,
2,
4,
4,
4,
6,
4,
3,
3,
4,
2,
3,
5,
4,
3,
3,
5,
6,
3,
3,
8,
4,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
4,
4,
4,
4,
2,
3,
6,
2,
4,
3,
2,
2,
2,
2,
3,
3,
5,
3,
2,
6,
6,
4,
4,
3,
3,
5,
2,
4,
5,
3,
4,
2,
4,
2,
2,
4,
4,
1,
4,
4,
4,
4,
3,
2,
3,
3,
3,
4,
3,
2,
2,
4,
4,
2,
4,
4,
5,
2,
4,
4,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
8,
3,
2,
3,
2,
3,
3,
3,
2,
4,
4,
5,
2,
2,
4,
4,
7,
7,
5,
2,
2,
3,
3,
4,
2,
2,
3,
2,
1,
2,
4,
5,
5,
5,
3,
4,
3,
3,
5,
4,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
2,
3,
3,
2,
4,
4,
3,
5,
3,
3,
4,
2,
2,
5,
5,
4,
2,
5,
3,
2,
2,
4,
4,
4,
4,
3,
3,
4,
3,
2,
2,
4,
2,
3,
2,
4,
4,
4,
4,
4,
4,
6,
2,
3,
4,
2,
2,
3,
3,
4,
4,
3,
4,
4,
4,
4,
3,
4,
6,
3,
2,
3,
4,
4,
8,
3,
2,
7,
4,
4,
2,
2,
2,
2,
3,
2,
4,
4,
4,
1,
1,
5,
7,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
4,
3,
4,
4,
5,
2,
3,
4,
3,
3,
5,
4,
2,
4,
2,
4,
4,
4,
4,
4,
6,
3,
2,
3,
5,
5,
4,
2,
5,
3,
4,
4,
7,
4,
5,
6,
2,
3,
3,
3,
2,
2,
2,
4,
4,
3,
3,
5,
4,
2,
3,
2,
3,
2,
4,
6,
5,
5,
2,
3,
3,
3,
2,
3,
2,
3,
2,
3,
3,
2,
6,
2,
4,
2,
5,
4,
4,
4,
4,
4,
3,
3,
3,
2,
3,
5,
2,
3,
2,
4,
2,
3,
4,
2,
2,
2,
3,
7,
3,
4,
4,
4,
2,
2,
1,
1,
2,
3,
4,
3,
4,
6,
6,
2,
2,
3,
3,
2,
1,
2,
2,
3,
3,
2,
2,
3,
3,
3,
2,
3,
6,
4,
4,
2,
5,
3,
4,
2,
2,
2,
2,
2,
9,
9,
3,
4,
4,
2,
4,
4,
3,
4,
3,
3,
2,
3,
4,
3,
3,
5,
1,
3,
4,
2,
7,
2,
3,
2,
4,
3,
3,
3,
3,
1,
2,
4,
4,
4,
2,
4,
2,
4,
4,
3,
3,
4,
2,
4,
4,
4,
3,
3,
4,
5,
6,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
3,
2,
1,
2,
3,
2,
3,
3,
5,
3,
3,
2,
4,
4,
4,
3,
2,
4,
3,
1,
4,
2,
2,
2,
2,
4,
4,
3,
3,
4,
3,
3,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
3,
3,
2,
2,
3,
3,
1,
5,
3,
3,
3,
4,
4,
2,
2,
4,
4,
3,
2,
7,
4,
2,
3,
2,
2,
3,
3,
3,
4,
4,
2,
2,
4,
2,
3,
6,
6,
4,
4,
6,
3,
3,
2,
3,
3,
3,
4,
7,
6,
7,
4,
4,
4,
2,
2,
6,
4,
2,
2,
5,
5,
4,
4,
5,
2,
6,
3,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
3,
3,
2,
2,
2,
3,
3,
4,
4,
3,
3,
5,
5,
3,
2,
1,
2,
2,
3,
4,
4,
4,
2,
3,
3,
4,
2,
4,
2,
2,
2,
4,
3,
3,
4,
2,
4,
3,
2,
2,
2,
2,
3,
3,
4,
4,
3,
2,
3,
6,
4,
4,
3,
4,
4,
3,
4,
3,
7,
2,
2,
2,
2,
2,
5,
6,
3,
5,
4,
3,
5,
3,
2,
4,
3,
3,
3,
2,
4,
2,
5,
1,
2,
2,
4,
4,
4,
4,
2,
3,
4,
4,
4,
4,
3,
3,
4,
2,
2,
4,
4,
3,
2,
2,
4,
3,
3,
4,
2,
4,
4,
8,
3,
3,
4,
3,
2,
2,
3,
6,
4,
3,
3,
4,
5,
2,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
2,
3,
3,
3,
4,
3,
2,
6,
2,
2,
5,
3,
2,
2,
3,
2,
3,
4,
4,
5,
2,
6,
3,
2,
2,
6,
4,
5,
2,
4,
4,
4,
4,
4,
3,
4,
2,
3,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
3,
3,
7,
5,
3,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
2,
2,
4,
4,
5,
2,
3,
2,
5,
5,
2,
3,
4,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
4,
2,
4,
3,
2,
2,
2,
4,
4,
3,
4,
5,
2,
4,
2,
2,
2,
6,
3,
3,
4,
6,
3,
2,
3,
5,
5,
6,
3,
3,
3,
3,
5,
3,
2,
2,
2,
4,
4,
4,
5,
4,
3,
1,
2,
7,
3,
2,
3,
5,
4,
2,
3,
3,
4,
3,
4,
3,
3,
4,
2,
3,
2,
2,
4,
3,
3,
3,
3,
4,
5,
3,
2,
4,
2,
3,
3,
2,
2,
2,
4,
3,
4,
2,
2,
4,
2,
4,
4,
2,
3,
3,
3,
2,
3,
4,
3,
5,
2,
3,
5,
6,
4,
5,
6,
1,
2,
2,
4,
4,
3,
4,
2,
2,
2,
3,
4,
6,
3,
3,
4,
3,
4,
5,
4,
4,
4,
4,
4,
4,
2,
7,
3,
2,
5,
3,
5,
4,
5,
3,
2,
5,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
3,
2,
2,
2,
4,
4,
5,
6,
4,
4,
3,
2,
2,
2,
3,
3,
3,
3,
1,
3,
4,
1,
4,
2,
2,
3,
4,
4,
3,
2,
5,
5,
5,
1,
3,
2,
4,
3,
3,
4,
3,
4,
4,
3,
3,
7,
4,
4,
3,
5,
4,
3,
3,
7,
4,
4,
4,
3,
4,
4,
3,
2,
6,
2,
2,
4,
4,
4,
4,
2,
2,
2,
3,
5,
3,
3,
3,
2,
5,
4,
4,
2,
4,
4,
3,
3,
4,
4,
3,
4,
2,
4,
4,
3,
4,
3,
4,
2,
4,
2,
2,
2,
4,
4,
2,
4,
2,
4,
2,
2,
2,
3,
3,
6,
4,
1,
6,
3,
3,
5,
3,
3,
2,
8,
3,
4,
2,
4,
4,
4,
4,
6,
3,
1,
2,
4,
4,
4,
3,
3,
2,
4,
2,
4,
3,
3,
2,
2,
4,
4,
4,
3,
4,
6,
5,
2,
7,
2,
2,
2,
2,
3,
3,
5,
5,
6,
2,
4,
3,
4,
3,
4,
2,
2,
4,
4,
3,
5,
3,
4,
7,
7,
3,
3,
1,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
3,
3,
2,
2,
2,
4,
3,
2,
2,
3,
3,
3,
3,
5,
4,
3,
3,
2,
3,
3,
4,
2,
7,
3,
4,
3,
3,
3,
3,
3,
3,
2,
1,
2,
6,
3,
3,
3,
3,
4,
2,
4,
4,
4,
3,
4,
2,
2,
2,
2,
2,
3,
3,
4,
2,
2,
4,
3,
2,
3,
1,
3,
4,
3,
4,
4,
2,
2,
2,
1,
4,
4,
2,
2,
4,
2,
6,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
2,
2,
2,
5,
4,
2,
4,
4,
3,
3,
2,
3,
4,
2,
4,
3,
3,
3,
3,
3,
4,
3,
4,
1,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
2,
3,
6,
3,
4,
2,
2,
2,
4,
4,
4,
3,
2,
4,
4,
4,
2,
2,
3,
3,
4,
4,
2,
4,
2,
4,
3,
3,
6,
4,
5,
4,
3,
4,
2,
4,
2,
4,
8,
4,
4,
3,
3,
3,
3,
4,
2,
3,
3,
3,
3,
5,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
3,
4,
4,
4,
6,
2,
5,
3,
4,
2,
3,
3,
5,
3,
3,
4,
4,
2,
2,
2,
2,
2,
3,
3,
4,
3,
3,
3,
4,
2,
2,
5,
4,
3,
3,
5,
4,
2,
2,
6,
2,
2,
3,
2,
3,
5,
1,
2,
4,
2,
3,
4,
4,
4,
4,
3,
2,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
3,
2,
3,
3,
5,
4,
4,
2,
3,
3,
2,
2,
1,
3,
4,
2,
5,
5,
4,
2,
3,
2,
5,
2,
4,
4,
4,
4,
3,
2,
4,
4,
6,
7,
4,
3,
4,
2,
4,
6,
2,
3,
2,
6,
4,
3,
5,
2,
3,
3,
3,
5,
3,
4,
4,
4,
4,
3,
3,
4,
3,
4,
5,
2,
2,
3,
4,
4,
5,
4,
4,
2,
4,
2,
3,
5,
2,
3,
4,
7,
3,
4,
3,
4,
4,
6,
4,
2,
7,
3,
3,
5,
3,
3,
3,
5,
2,
3,
6,
4,
2,
3,
5,
3,
2,
2,
4,
3,
2,
4,
3,
2,
8,
5,
1,
4,
2,
5,
5,
2,
6,
6,
4,
4,
4,
3,
1,
3,
5,
5,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
3,
3,
4,
6,
2,
2,
3,
4,
4,
4,
4,
3,
3,
3,
4,
2,
4,
3,
3,
3,
3,
4,
3,
6,
4,
2,
3,
4,
6,
3,
3,
7,
4,
5,
5,
7,
3,
4,
4,
4,
5,
4,
4,
1,
1,
3,
3,
2,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
4,
3,
4,
3,
4,
4,
3,
4,
4,
2,
2,
2,
2,
1,
4,
4,
4,
5,
4,
6,
3,
3,
4,
3,
3,
3,
3,
6,
4,
4,
2,
3,
3,
4,
2,
4,
3,
5,
4,
2,
3,
2,
5,
4,
5,
3,
3,
3,
4,
3,
5,
4,
3,
4,
4,
2,
4,
4,
1,
4,
2,
4,
2,
4,
4,
2,
5,
4,
2,
4,
4,
2,
3,
2,
2,
4,
3,
2,
4,
2,
4,
3,
2,
4,
6,
4,
5,
2,
3,
2,
2,
3,
1,
3,
3,
4,
3,
4,
2,
2,
3,
2,
3,
3,
4,
3,
3,
3,
2,
2,
2,
4,
5,
2,
1,
6,
4,
3,
3,
3,
3,
2,
3,
4,
2,
2,
4,
4,
2,
2,
2,
4,
3,
5,
5,
5,
2,
4,
8,
6,
4,
4,
5,
4,
4,
1,
2,
2,
5,
5,
3,
3,
4,
4,
2,
2,
4,
2,
2,
5,
4,
4,
5,
6,
7,
7,
3,
6,
4,
3,
3,
4,
3,
2,
2,
2,
4,
4,
2,
4,
4,
4,
2,
2,
3,
4,
2,
2,
2,
6,
4,
3,
3,
4,
3,
3,
4,
4,
4,
5,
3,
4,
2,
4,
6,
4,
2,
2,
2,
4,
2,
2,
2,
2,
1,
3,
3,
2,
4,
3,
3,
3,
4,
4,
2,
2,
4,
2,
3,
3,
3,
3,
4,
4,
4,
5,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
3,
4,
2,
2,
3,
4,
4,
4,
6,
4,
3,
2,
2,
2,
2,
4,
3,
4,
3,
6,
4,
1,
3,
4,
3,
2,
3,
3,
3,
4,
2,
5,
4,
4,
2,
3,
2,
2,
3,
3,
2,
4,
2,
4,
4,
4,
2,
2,
3,
4,
4,
3,
3,
3,
3,
4,
3,
5,
5,
3,
6,
2,
3,
3,
3,
3,
4,
4,
2,
3,
5,
3,
2,
4,
4,
2,
3,
5,
3,
5,
2,
3,
3,
4,
4,
3,
3,
4,
4,
5,
4,
7,
3,
2,
3,
2,
2,
7,
3,
2,
2,
2,
4,
2,
2,
3,
1,
3,
2,
4,
4,
4,
2,
7,
2,
4,
8,
3,
4,
2,
3,
3,
3,
3,
4,
4,
4,
3,
4,
3,
4,
3,
4,
3,
4,
6,
4,
4,
2,
5,
3,
3,
4,
2,
4,
4,
4,
4,
3,
2,
4,
4,
3,
2,
3,
6,
4,
4,
4,
4,
4,
3,
3,
2,
5,
4,
4,
4,
4,
3,
5,
2,
2,
4,
3,
3,
3,
5,
3,
3,
2,
2,
3,
5,
2,
2,
8,
6,
4,
4,
4,
6,
5,
5,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
5,
4,
2,
3,
3,
3,
4,
2,
5,
4,
5,
5,
6,
2,
4,
4,
5,
4,
2,
4,
4,
6,
5,
4,
4,
2,
6,
8,
3,
3,
2,
2,
2,
4,
4,
4,
2,
4,
3,
4,
3,
3,
2,
4,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
4,
2,
3,
7,
4,
2,
3,
2,
4,
3,
5,
2,
2,
2,
2,
3,
4,
3,
4,
4,
7,
3,
2,
3,
4,
6,
3,
4,
4,
4,
1,
3,
3,
2,
3,
3,
2,
3,
3,
3,
4,
3,
3,
3,
4,
3,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
4,
5,
4,
3,
4,
3,
5,
4,
4,
2,
4,
4,
2,
4,
4,
5,
5,
4,
4,
3,
3,
3,
5,
4,
4,
5,
5,
4,
3,
3,
3,
3,
4,
2,
4,
4,
3,
3,
7,
4,
2,
3,
2,
4,
3,
4,
4,
4,
3,
6,
4,
4,
4,
4,
2,
2,
2,
5,
2,
3,
4,
2,
5,
3,
3,
5,
4,
3,
3,
4,
6,
4,
3,
2,
4,
2,
4,
2,
4,
5,
3,
5,
1,
2,
4,
2,
3,
5,
4,
3,
1,
4,
3,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
3,
4,
4,
3,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
5,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
4,
3,
2,
4,
7,
3,
4,
3,
3,
4,
3,
4,
4,
4,
3,
3,
3,
2,
4,
4,
4,
5,
2,
3,
3,
3,
4,
3,
3,
4,
4,
3,
3,
2,
7,
2,
3,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
4,
4,
3,
3,
5,
3,
2,
2,
2,
4,
3,
2,
5,
6,
3,
2,
4,
3,
3,
3,
2,
3,
5,
4,
2,
3,
4,
5,
6,
3,
3,
6,
3,
3,
3,
2,
2,
6,
3,
3,
3,
3,
5,
4,
2,
4,
2,
2,
3,
4,
1,
1,
3,
2,
5,
5,
2,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
4,
2,
2,
2,
3,
3,
3,
6,
6,
4,
4,
4,
2,
5,
4,
4,
2,
4,
7,
2,
2,
4,
2,
3,
3,
2,
2,
2,
3,
5,
3,
2,
4,
4,
4,
4,
5,
4,
4,
4,
2,
2,
8,
8,
2,
2,
2,
5,
7,
4,
2,
4,
3,
2,
4,
2,
4,
3,
2,
3,
2,
4,
4,
4,
4,
5,
2,
4,
3,
4,
4,
4,
2,
2,
2,
2,
3,
4,
4,
3,
2,
2,
2,
4,
3,
3,
2,
2,
3,
3,
2,
3,
4,
3,
4,
2,
2,
4,
5,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
7,
4,
4,
2,
4,
4,
3,
4,
8,
5,
4,
4,
3,
8,
3,
4,
4,
4,
4,
4,
4,
5,
4,
4,
3,
2,
4,
3,
4,
4,
6,
2,
4,
2,
3,
3,
5,
3,
4,
4,
3,
4,
4,
2,
5,
5,
4,
6,
4,
6,
3,
4,
4,
5,
4,
5,
6,
3,
3,
4,
4,
3,
4,
4,
6,
3,
3,
3,
3,
3,
4,
3,
2,
4,
3,
4,
5,
5,
2,
4,
2,
4,
5,
4,
2,
4,
4,
3,
3,
5,
8,
4,
3,
3,
3,
2,
2,
2,
4,
3,
3,
4,
2,
3,
3,
4,
3,
5,
4,
4,
3,
3,
4,
5,
5,
5,
2,
4,
4,
3,
4,
4,
4,
3,
6,
3,
3,
2,
3,
3,
3,
3,
3,
2,
4,
4,
4,
2,
3,
2,
3,
4,
3,
2,
4,
2,
2,
3,
4,
4,
5,
5,
7,
3,
3,
2,
2,
4,
3,
4,
2,
7,
7,
3,
4,
2,
2,
6,
6,
4,
5,
4,
4,
4,
7,
2,
2,
6,
3,
2,
5,
5,
3,
2,
4,
4,
4,
5,
6,
4,
4,
4,
4,
4,
2,
4,
3,
2,
3,
3,
4,
5,
2,
2,
2,
2,
3,
3,
3,
1,
3,
3,
4,
3,
4,
2,
1,
2,
1,
2,
5,
2,
5,
2,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
7,
4,
4,
4,
4,
8,
4,
4,
3,
3,
6,
5,
2,
3,
4,
3,
3,
4,
4,
3,
4,
4,
3,
5,
4,
4,
4,
4,
5,
5,
4,
3,
4,
4,
4,
4,
4,
4,
1,
4,
3,
3,
4,
4,
4,
5,
7,
4,
2,
2,
3,
3,
3,
4,
4,
2,
3,
4,
3,
4,
2,
2,
4,
5,
5,
3,
4,
3,
2,
4,
2,
4,
2,
7,
4,
7,
3,
4,
3,
2,
5,
5,
4,
3,
2,
4,
3,
4,
4,
4,
4,
3,
2,
2,
2,
2,
3,
7,
2,
4,
4,
2,
2,
3,
2,
4,
4,
3,
4,
3,
5,
5,
2,
4,
5,
3,
3,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
5,
2,
5,
3,
3,
4,
4,
3,
2,
3,
3,
4,
4,
2,
4,
2,
4,
4,
4,
6,
5,
2,
4,
4,
2,
2,
2,
3,
4,
3,
3,
3,
4,
2,
3,
6,
3,
4,
4,
3,
2,
7,
2,
4,
2,
4,
4,
2,
3,
2,
2,
4,
5,
2,
4,
3,
4,
4,
4,
5,
2,
3,
3,
2,
4,
3,
4,
4,
4,
4,
3,
3,
4,
4,
3,
4,
3,
4,
4,
4,
2,
4,
3,
3,
3,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
2,
3,
4,
2,
4,
4,
5,
2,
2,
3,
4,
4,
4,
4,
7,
3,
4,
2,
4,
3,
2,
3,
3,
2,
5,
3,
4,
4,
4,
3,
1,
1,
5,
3,
4,
4,
4,
4,
4,
5,
3,
3,
3,
3,
4,
4,
3,
2,
2,
4,
4,
4,
4,
5,
2,
3,
3,
3,
4,
4,
4,
4,
6,
4,
4,
3,
5,
2,
5,
5,
3,
2,
4,
5,
2,
2,
3,
3,
4,
4,
4,
4,
4,
9,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
3,
2,
3,
5,
3,
3,
3,
5,
4,
3,
3,
3,
3,
2,
4,
4,
4,
6,
4,
2,
2,
2,
2,
4,
5,
7,
1,
3,
5,
3,
5,
4,
3,
2,
3,
4,
2,
2,
2,
2,
6,
4,
7,
3,
2,
3,
3,
3,
3,
2,
3,
2,
4,
2,
4,
4,
4,
4,
4,
4,
3,
7,
5,
3,
3,
5,
4,
4,
2,
3,
3,
3,
5,
5,
4,
3,
3,
5,
4,
2,
3,
2,
2,
4,
3,
2,
3,
3,
2,
3,
4,
3,
2,
3,
3,
5,
4,
4,
4,
4,
2,
4,
2,
2,
2,
5,
4,
4,
3,
2,
4,
5,
4,
4,
4,
4,
6,
3,
3,
4,
2,
4,
4,
3,
4,
6,
4,
3,
3,
3,
5,
4,
2,
4,
4,
3,
2,
4,
2,
3,
5,
2,
5,
5,
3,
3,
3,
2,
5,
4,
2,
4,
2,
3,
1,
2,
4,
4,
6,
4,
6,
3,
5,
9,
4,
4,
5,
5,
6,
2,
3,
4,
2,
4,
4,
3,
3,
3,
2,
2,
1,
3,
3,
4,
2,
3,
2,
2,
3,
3,
2,
4,
2,
4,
3,
7,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
3,
2,
4,
4,
4,
3,
5,
4,
6,
4,
3,
7,
5,
2,
2,
2,
4,
4,
4,
4,
4,
4,
6,
2,
5,
3,
5,
6,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
3,
2,
2,
2,
4,
2,
5,
5,
3,
3,
3,
4,
6,
6,
5,
4,
4,
4,
3,
4,
4,
6,
4,
4,
2,
4,
4,
5,
2,
4,
2,
3,
4,
3,
5,
3,
3,
2,
3,
2,
4,
5,
3,
3,
3,
5,
4,
5,
4,
2,
4,
4,
2,
2,
4,
4,
4,
4,
2,
2,
3,
3,
5,
4,
2,
2,
4,
2,
3,
4,
2,
3,
3,
2,
6,
3,
5,
4,
2,
3,
3,
4,
4,
4,
4,
4,
4,
3,
6,
4,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
8,
4,
4,
6,
4,
5,
2,
4,
4,
2,
3,
2,
2,
4,
2,
4,
3,
2,
4,
4,
3,
2,
4,
4,
4,
2,
4,
4,
4,
2,
3,
4,
3,
2,
4,
6,
4,
2,
2,
4,
4,
3,
2,
3,
2,
3,
4,
4,
4,
2,
3,
5,
3,
5,
2,
3,
3,
4,
2,
4,
4,
6,
3,
4,
4,
2,
4,
6,
4,
4,
4,
3,
3,
4,
2,
4,
4,
5,
4,
4,
2,
5,
3,
5,
4,
7,
3,
3,
4,
3,
3,
2,
1,
5,
4,
3,
2,
3,
1,
4,
2,
4,
3,
4,
4,
4,
3,
2,
4,
2,
3,
2,
3,
3,
5,
5,
3,
3,
4,
3,
2,
2,
4,
5,
5,
3,
3,
4,
4,
2,
3,
4,
3,
2,
2,
3,
5,
4,
2,
4,
8,
3,
4,
4,
4,
4,
4,
3,
5,
5,
3,
3,
2,
2,
2,
2,
4,
2,
3,
4,
4,
4,
4,
3,
4,
3,
3,
3,
3,
3,
2,
4,
3,
3,
2,
2,
4,
3,
3,
2,
2,
2,
3,
2,
2,
3,
2,
4,
2,
2,
2,
4,
3,
2,
7,
5,
4,
3,
4,
3,
4,
4,
4,
2,
3,
4,
4,
3,
2,
2,
2,
4,
4,
2,
4,
4,
5,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
3,
3,
4,
4,
4,
3,
4,
2,
3,
4,
2,
4,
2,
5,
2,
3,
2,
4,
3,
2,
4,
4,
3,
3,
3,
3,
3,
4,
2,
4,
3,
2,
3,
4,
2,
5,
4,
4,
8,
2,
2,
4,
4,
3,
5,
2,
3,
4,
5,
4,
4,
4,
3,
2,
2,
2,
2,
5,
3,
4,
5,
5,
5,
5,
2,
3,
4,
4,
2,
3,
3,
2,
6,
4,
2,
4,
3,
2,
2,
1,
2,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
6,
2,
3,
2,
3,
4,
5,
4,
4,
3,
4,
7,
4,
3,
3,
4,
5,
4,
4,
2,
2,
4,
4,
3,
4,
2,
4,
4,
3,
3,
4,
6,
4,
4,
2,
2,
5,
2,
5,
3,
2,
3,
4,
2,
2,
5,
5,
3,
3,
2,
3,
5,
5,
5,
4,
3,
3,
3,
6,
4,
6,
3,
4,
4,
4,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
3,
3,
4,
4,
3,
4,
2,
2,
2,
6,
2,
5,
4,
3,
2,
4,
4,
2,
5,
3,
6,
7,
4,
3,
3,
4,
3,
3,
4,
5,
8,
4,
5,
1,
3,
3,
3,
4,
3,
4,
3,
3,
5,
5,
3,
4,
3,
3,
6,
5,
6,
2,
2,
4,
2,
3,
4,
4,
4,
3,
3,
3,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
6,
2,
2,
5,
5,
5,
5,
3,
4,
4,
4,
6,
3,
2,
3,
3,
4,
2,
2,
2,
2,
3,
2,
2,
3,
4,
4,
2,
5,
4,
3,
4,
4,
2,
2,
4,
2,
3,
2,
3,
4,
4,
2,
3,
2,
4,
4,
6,
4,
2,
3,
4,
4,
4,
3,
4,
3,
5,
4,
2,
2,
1,
4,
2,
4,
4,
3,
3,
4,
4,
2,
1,
2,
4,
2,
4,
3,
4,
5,
4,
6,
2,
2,
4,
5,
6,
4,
5,
5,
3,
3,
4,
4,
6,
4,
4,
4,
4,
4,
3,
3,
4,
4,
5,
5,
7,
5,
3,
2,
4,
3,
5,
4,
4,
2,
2,
3,
4,
4,
3,
4,
3,
2,
4,
5,
3,
2,
6,
4,
4,
3,
5,
3,
3,
4,
4,
1,
2,
1,
3,
3,
4,
4,
5,
6,
4,
2,
3,
4,
5,
3,
3,
4,
3,
3,
3,
4,
3,
3,
3,
3,
5,
4,
2,
4,
4,
4,
4,
4,
4,
4,
5,
3,
2,
2,
5,
2,
2,
2,
4,
3,
3,
3,
5,
2,
2,
3,
2,
6,
3,
4,
3,
4,
4,
2,
2,
2,
2,
3,
3,
3,
4,
3,
2,
4,
4,
3,
3,
6,
2,
4,
4,
3,
6,
2,
2,
3,
3,
3,
4,
4,
3,
4,
4,
2,
1,
4,
4,
5,
5,
2,
4,
4,
7,
4,
2,
2,
2,
3,
2,
2,
6,
3,
3,
3,
3,
3,
3,
2,
5,
5,
4,
3,
4,
2,
2,
2,
6,
4,
3,
2,
1,
5,
5,
2,
3,
3,
4,
6,
2,
4,
5,
4,
4,
4,
4,
2,
2,
3,
8,
5,
2,
3,
2,
2,
5,
4,
4,
3,
3,
4,
3,
4,
2,
3,
2,
4,
2,
2,
2,
6,
3,
4,
4,
4,
3,
3,
4,
3,
3,
4,
3,
3,
7,
4,
3,
2,
1,
2,
2,
3,
4,
4,
4,
5,
4,
4,
3,
4,
6,
2,
5,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
4,
5,
5,
3,
3,
7,
4,
3,
4,
5,
3,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
4,
5,
2,
4,
4,
4,
3,
3,
1,
4,
2,
2,
5,
4,
4,
2,
6,
4,
2,
5,
5,
2,
4,
6,
4,
4,
2,
4,
6,
2,
3,
4,
3,
2,
3,
4,
8,
3,
4,
5,
6,
4,
4,
4,
6,
6,
2,
4,
4,
2,
3,
2,
3,
2,
2,
4,
4,
4,
2,
2,
2,
3,
4,
4,
3,
3,
4,
4,
3,
4,
5,
3,
3,
6,
4,
4,
2,
3,
4,
2,
2,
3,
4,
3,
4,
3,
3,
2,
4,
4,
5,
4,
4,
4,
3,
5,
4,
2,
2,
3,
2,
3,
4,
6,
5,
2,
5,
3,
4,
3,
4,
3,
11,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
5,
2,
2,
2,
2,
2,
4,
5,
2,
3,
3,
2,
2,
4,
2,
1,
3,
3,
2,
3,
4,
8,
6,
4,
3,
2,
4,
4,
2,
4,
3,
1,
4,
4,
2,
2,
2,
4,
4,
7,
6,
2,
2,
3,
2,
6,
4,
4,
2,
5,
3,
2,
4,
4,
4,
2,
2,
2,
4,
4,
2,
2,
2,
3,
4,
2,
2,
2,
4,
6,
4,
4,
4,
3,
6,
3,
8,
2,
3,
3,
4,
4,
4,
3,
3,
2,
4,
5,
5,
4,
5,
5,
2,
4,
4,
2,
3,
4,
4,
3,
4,
2,
2,
3,
4,
2,
3,
3,
4,
3,
3,
3,
5,
3,
3,
2,
3,
3,
3,
3,
5,
2,
5,
2,
3,
4,
4,
5,
5,
3,
5,
4,
5,
3,
3,
2,
4,
4,
4,
5,
5,
2,
2,
2,
4,
3,
3,
8,
4,
2,
4,
4,
4,
5,
3,
4,
4,
4,
5,
3,
5,
3,
4,
4,
2,
6,
6,
3,
4,
4,
2,
6,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
4,
3,
2,
1,
2,
4,
3,
3,
3,
3,
3,
5,
4,
2,
2,
5,
5,
3,
4,
2,
3,
4,
2,
3,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
2,
4,
4,
3,
3,
4,
2,
1,
3,
2,
8,
6,
2,
2,
5,
5,
5,
6,
4,
4,
2,
3,
3,
3,
3,
5,
4,
2,
5,
3,
3,
4,
3,
3,
3,
4,
5,
5,
4,
3,
4,
5,
5,
4,
5,
3,
4,
3,
4,
3,
3,
2,
2,
4,
4,
3,
4,
5,
6,
3,
4,
3,
4,
6,
4,
3,
4,
7,
2,
4,
4,
4,
2,
2,
2,
3,
2,
6,
6,
5,
2,
4,
2,
2,
4,
4,
2,
2,
2,
4,
3,
4,
3,
3,
5,
3,
3,
8,
3,
3,
3,
3,
2,
2,
4,
2,
4,
5,
2,
2,
4,
4,
3,
3,
3,
3,
3,
4,
1,
2,
4,
4,
7,
5,
2,
5,
4,
2,
3,
7,
7,
4,
5,
3,
4,
4,
5,
2,
2,
4,
5,
2,
4,
2,
3,
6,
4,
2,
4,
5,
2,
3,
3,
4,
3,
3,
3,
2,
3,
4,
4,
6,
5,
5,
3,
4,
4,
5,
2,
3,
2,
2,
4,
4,
4,
3,
3,
4,
2,
2,
3,
2,
3,
3,
3,
3,
6,
6,
3,
3,
3,
2,
4,
6,
3,
3,
3,
5,
5,
2,
3,
4,
4,
4,
3,
4,
2,
6,
6,
4,
3,
6,
3,
7,
3,
2,
2,
5,
4,
3,
4,
3,
5,
2,
4,
3,
2,
2,
2,
2,
2,
4,
4,
6,
2,
2,
4,
3,
2,
3,
4,
2,
4,
2,
2,
4,
4,
3,
3,
3,
3,
4,
3,
3,
4,
4,
2,
2,
7,
4,
4,
2,
2,
6,
5,
4,
4,
4,
4,
4,
3,
5,
3,
4,
4,
3,
4,
3,
2,
2,
4,
5,
2,
2,
4,
4,
3,
6,
5,
4,
9,
3,
2,
4,
4,
3,
2,
5,
2,
4,
8,
4,
2,
3,
1,
1,
2,
4,
4,
3,
3,
6,
3,
7,
4,
4,
2,
2,
3,
4,
5,
2,
5,
2,
5,
4,
2,
4,
4,
4,
2,
2,
3,
2,
3,
3,
4,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
4,
2,
2,
3,
2,
2,
3,
4,
2,
3,
4,
4,
5,
3,
3,
5,
4,
4,
3,
3,
3,
3,
4,
4,
2,
2,
2,
3,
4,
6,
5,
4,
3,
3,
2,
4,
4,
5,
4,
4,
6,
4,
7,
7,
4,
4,
4,
2,
2,
6,
2,
3,
3,
7,
4,
4,
4,
3,
3,
2,
3,
3,
2,
3,
6,
3,
4,
3,
3,
4,
5,
4,
4,
4,
5,
3,
3,
4,
3,
6,
3,
2,
6,
5,
2,
2,
4,
2,
2,
2,
4,
3,
4,
7,
2,
4,
2,
7,
4,
3,
2,
2,
3,
4,
4,
3,
4,
4,
8,
3,
8,
5,
4,
4,
6,
4,
4,
4,
3,
3,
4,
5,
5,
4,
6,
4,
2,
2,
2,
2,
4,
4,
6,
2,
2,
7,
6,
4,
7,
3,
4,
6,
4,
4,
4,
4,
4,
4,
4,
5,
6,
3,
7,
4,
3,
5,
4,
4,
4,
5,
5,
5,
2,
6,
3,
4,
4,
2,
4,
3,
4,
4,
3,
2,
3,
3,
2,
2,
2,
2,
3,
4,
3,
3,
3,
7,
3,
5,
5,
4,
4,
5,
4,
2,
3,
4,
5,
2,
2,
2,
3,
2,
2,
5,
6,
5,
5,
3,
4,
4,
4,
4,
4,
4,
2,
3,
3,
5,
5,
4,
5,
5,
2,
2,
4,
4,
4,
4,
4,
2,
5,
6,
4,
7,
3,
4,
2,
4,
2,
6,
4,
3,
5,
2,
2,
3,
4,
4,
2,
2,
4,
4,
2,
1,
3,
2,
3,
5,
7,
7,
4,
9,
6,
5,
4,
4,
5,
4,
7,
6,
6,
6,
5,
6,
3,
2,
3,
4,
2,
4,
4,
3,
3,
4,
4,
3,
7,
5,
3,
3,
3,
3,
3,
4,
1,
3,
3,
6,
3,
5,
3,
5,
3,
3,
5,
2,
5,
4,
5,
4,
3,
3,
4,
7,
4,
4,
6,
4,
4,
2,
5,
1,
5,
4,
4,
3,
4,
6,
2,
4,
3,
4,
2,
4,
5,
4,
4,
2,
4,
3,
4,
2,
4,
2,
3,
3,
2,
1,
3,
4,
2,
4,
4,
2,
4,
3,
3,
5,
4,
6,
4,
3,
3,
4,
4,
4,
4,
2,
4,
2,
4,
3,
4,
6,
3,
4,
2,
6,
3,
4,
2,
7,
4,
6,
4,
3,
4,
2,
2,
5,
5,
5,
6,
5,
4,
4,
4,
4,
4,
4,
7,
7,
4,
6,
2,
2,
4,
4,
2,
4,
2,
3,
3,
4,
2,
5,
7,
4,
4,
3,
4,
4,
3,
3,
2,
3,
4,
4,
6,
2,
3,
6,
4,
2,
2,
2,
2,
4,
2,
3,
2,
3,
4,
4,
5,
5,
3,
3,
4,
4,
3,
5,
2,
4,
4,
3,
3,
3,
3,
3,
2,
3,
4,
3,
3,
3,
3,
2,
3,
6,
3,
3,
4,
4,
3,
5,
2,
4,
2,
2,
2,
4,
2,
1,
3,
2,
4,
5,
4,
2,
3,
4,
6,
4,
4,
4,
5,
4,
3,
4,
4,
3,
4,
3,
4,
4,
4,
2,
3,
4,
2,
2,
2,
3,
3,
4,
4,
4,
3,
6,
3,
3,
3,
4,
4,
3,
4,
4,
4,
4,
4,
6,
6,
3,
4,
3,
3,
2,
2,
4,
3,
4,
4,
5,
2,
4,
2,
5,
5,
5,
4,
4,
4,
4,
3,
3,
2,
4,
4,
3,
4,
4,
3,
6,
3,
4,
3,
4,
4,
5,
3,
3,
2,
4,
4,
4,
5,
4,
3,
3,
2,
2,
3,
2,
2,
3,
3,
4,
3,
3,
2,
3,
1,
4,
1,
4,
2,
4,
2,
2,
5,
3,
4,
7,
6,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
4,
2,
4,
3,
4,
5,
2,
4,
3,
4,
3,
5,
1,
2,
2,
2,
3,
3,
4,
5,
3,
4,
4,
2,
4,
4,
4,
4,
4,
3,
4,
4,
6,
7,
4,
4,
2,
4,
4,
5,
4,
6,
4,
6,
3,
3,
2,
5,
4,
3,
4,
4,
4,
4,
3,
3,
2,
2,
4,
2,
2,
3,
4,
2,
4,
5,
4,
2,
3,
3,
5,
5,
4,
5,
2,
3,
7,
4,
4,
4,
1,
2,
3,
2,
2,
4,
6,
6,
6,
3,
3,
6,
2,
9,
4,
4,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
5,
5,
4,
4,
3,
2,
4,
4,
3,
4,
3,
4,
3,
3,
6,
4,
3,
6,
4,
7,
4,
2,
3,
4,
2,
2,
2,
2,
3,
2,
3,
4,
4,
7,
3,
3,
4,
5,
2,
2,
2,
2,
3,
3,
4,
4,
2,
3,
2,
4,
2,
6,
6,
4,
3,
2,
4,
3,
2,
4,
4,
3,
3,
4,
4,
3,
6,
3,
6,
4,
3,
3,
2,
2,
2,
2,
2,
5,
6,
3,
4,
4,
3,
3,
4,
4,
4,
2,
2,
4,
4,
2,
3,
4,
3,
2,
2,
5,
2,
4,
3,
3,
3,
3,
3,
5,
2,
3,
3,
4,
3,
3,
4,
3,
2,
2,
3,
3,
4,
2,
5,
2,
3,
2,
3,
4,
7,
2,
2,
5,
3,
4,
3,
2,
6,
6,
2,
4,
2,
4,
2,
3,
2,
2,
2,
2,
3,
3,
3,
4,
3,
2,
3,
2,
2,
3,
2,
2,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
5,
5,
3,
2,
3,
2,
4,
2,
3,
3,
2,
4,
3,
5,
6,
4,
5,
3,
2,
3,
2,
3,
5,
3,
3,
4,
4,
4,
1,
3,
3,
4,
3,
3,
4,
4,
4,
5,
4,
4,
4,
4,
5,
6,
4,
5,
2,
5,
2,
4,
4,
2,
3,
3,
3,
5,
4,
4,
5,
4,
4,
2,
4,
3,
2,
2,
2,
3,
2,
2,
5,
3,
3,
3,
2,
5,
5,
4,
5,
4,
3,
4,
5,
3,
4,
3,
4,
4,
4,
3,
3,
5,
4,
3,
1,
4,
3,
5,
2,
1,
4,
4,
2,
3,
4,
4,
3,
3,
4,
4,
2,
3,
3,
5,
5,
6,
2,
5,
2,
4,
2,
3,
4,
4,
2,
5,
5,
6,
5,
6,
3,
4,
2,
2,
3,
4,
4,
6,
5,
2,
3,
4,
5,
3,
2,
4,
4,
4,
2,
2,
4,
3,
3,
2,
3,
4,
4,
4,
4,
6,
1,
1,
1,
1,
2,
4,
3,
4,
3,
1,
2,
3,
2,
2,
2,
6,
2,
2,
4,
4,
5,
2,
4,
4,
2,
5,
3,
5,
4,
4,
3,
2,
3,
4,
4,
5,
4,
3,
3,
3,
2,
5,
5,
5,
5,
4,
4,
3,
3,
2,
2,
3,
3,
4,
3,
4,
5,
4,
2,
2,
2,
3,
7,
7,
5,
5,
5,
4,
4,
3,
4,
4,
4,
2,
4,
3,
4,
4,
4,
4,
4,
5,
7,
6,
4,
5,
3,
4,
3,
3,
3,
5,
4,
5,
2,
2,
4,
4,
3,
4,
3,
5,
6,
2,
3,
5,
3,
4,
3,
3,
5,
2,
4,
4,
8,
3,
4,
2,
4,
4,
2,
2,
2,
3,
4,
3,
3,
6,
2,
6,
4,
2,
4,
4,
5,
6,
2,
2,
3,
2,
8,
3,
3,
3,
2,
4,
6,
3,
4,
2,
4,
2,
2,
3,
7,
5,
5,
4,
4,
7,
7,
3,
2,
3,
3,
3,
3,
2,
4,
3,
4,
4,
5,
3,
4,
3,
3,
4,
2,
5,
7,
2,
2,
6,
7,
4,
2,
2,
4,
4,
3,
2,
3,
5,
4,
4,
3,
3,
2,
4,
3,
3,
2,
2,
4,
3,
5,
4,
6,
3,
6,
6,
2,
2,
4,
4,
2,
3,
2,
4,
3,
4,
4,
4,
3,
2,
3,
6,
3,
3,
5,
3,
2,
2,
3,
4,
3,
3,
4,
3,
4,
4,
3,
5,
2,
3,
2,
2,
5,
4,
2,
5,
3,
5,
3,
4,
3,
2,
7,
5,
2,
4,
4,
4,
3,
3,
4,
3,
2,
4,
4,
1,
4,
4,
5,
4,
4,
4,
3,
5,
4,
3,
3,
2,
4,
4,
5,
2,
4,
4,
4,
3,
4,
4,
6,
4,
4,
3,
3,
3,
3,
4,
3,
4,
2,
3,
2,
3,
3,
4,
3,
2,
4,
5,
2,
4,
4,
4,
4,
4,
2,
3,
5,
5,
2,
3,
4,
5,
8,
5,
7,
7,
2,
2,
3,
3,
4,
3,
6,
3,
3,
2,
2,
2,
4,
3,
6,
2,
6,
2,
4,
5,
4,
4,
4,
3,
2,
2,
4,
3,
4,
3,
3,
4,
3,
4,
1,
2,
4,
3,
2,
3,
3,
2,
4,
5,
2,
3,
3,
3,
4,
4,
4,
5,
4,
4,
4,
4,
5,
4,
2,
3,
9,
5,
5,
7,
7,
8,
3,
3,
2,
3,
3,
4,
2,
4,
7,
7,
7,
3,
3,
4,
4,
4,
5,
3,
2,
7,
7,
3,
3,
3,
5,
3,
5,
2,
2,
3,
2,
4,
4,
4,
2,
2,
2,
4,
3,
2,
2,
4,
4,
4,
4,
4,
2,
4,
3,
3,
4,
3,
3,
2,
2,
8,
4,
4,
3,
4,
3,
2,
3,
2,
4,
2,
2,
2,
2,
4,
2,
3,
3,
2,
2,
3,
3,
3,
3,
6,
4,
3,
6,
4,
2,
5,
4,
2,
4,
5,
2,
5,
2,
4,
5,
3,
4,
3,
2,
2,
5,
5,
8,
4,
4,
10,
4,
4,
3,
7,
4,
4,
4,
4,
2,
3,
5,
3,
3,
3,
4,
7,
4,
2,
3,
2,
4,
2,
2,
4,
3,
5,
4,
5,
3,
3,
2,
3,
4,
3,
3,
2,
5,
3,
4,
3,
4,
3,
3,
1,
4,
1,
1,
3,
2,
3,
2,
2,
3,
3,
3,
4,
2,
3,
3,
4,
2,
5,
5,
3,
3,
4,
2,
2,
2,
2,
4,
3,
2,
3,
2,
2,
4,
2,
2,
6,
3,
2,
2,
3,
3,
3,
3,
4,
4,
4,
3,
4,
5,
3,
3,
3,
3,
6,
4,
5,
2,
2,
4,
3,
3,
3,
5,
6,
4,
5,
3,
2,
4,
2,
2,
2,
5,
2,
2,
3,
2,
4,
3,
2,
4,
4,
4,
2,
3,
4,
4,
4,
3,
4,
3,
2,
5,
3,
3,
3,
2,
2,
4,
5,
5,
2,
2,
2,
5,
2,
2,
4,
3,
3,
4,
3,
2,
4,
2,
4,
4,
6,
4,
2,
4,
3,
4,
4,
2,
2,
2,
2,
2,
3,
5,
2,
3,
3,
3,
2,
5,
5,
4,
3,
2,
5,
7,
4,
4,
4,
4,
4,
2,
4,
2,
3,
3,
2,
2,
4,
2,
4,
4,
4,
4,
3,
3,
3,
2,
5,
5,
6,
4,
2,
5,
5,
3,
4,
4,
4,
3,
4,
4,
2,
4,
2,
4,
4,
7,
7,
3,
4,
5,
3,
4,
2,
3,
3,
2,
2,
4,
4,
4,
2,
2,
6,
2,
2,
3,
3,
5,
5,
2,
4,
5,
2,
2,
2,
2,
3,
2,
4,
6,
7,
4,
1,
2,
4,
2,
3,
6,
3,
2,
2,
4,
4,
4,
2,
2,
3,
3,
2,
6,
2,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
4,
3,
2,
2,
4,
3,
4,
3,
3,
4,
5,
3,
3,
5,
4,
2,
4,
4,
5,
5,
5,
5,
4,
3,
2,
4,
4,
4,
4,
3,
4,
2,
3,
6,
2,
4,
2,
7,
7,
2,
3,
4,
5,
2,
3,
6,
7,
5,
3,
3,
3,
3,
2,
3,
3,
2,
3,
3,
3,
3,
4,
2,
2,
5,
3,
2,
3,
3,
3,
2,
2,
2,
4,
2,
2,
6,
6,
4,
5,
4,
4,
2,
4,
4,
3,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
6,
2,
4,
6,
4,
4,
2,
2,
2,
4,
4,
3,
3,
2,
4,
2,
2,
2,
4,
3,
2,
4,
4,
2,
5,
4,
4,
3,
3,
4,
2,
4,
4,
2,
2,
3,
4,
3,
4,
4,
4,
2,
3,
2,
2,
7,
4,
3,
3,
3,
2,
3,
2,
3,
3,
6,
4,
2,
3,
3,
4,
2,
3,
2,
2,
3,
5,
3,
4,
2,
3,
2,
4,
4,
2,
3,
3,
3,
2,
3,
6,
3,
3,
3,
4,
4,
7,
5,
4,
7,
4,
2,
4,
2,
3,
4,
3,
4,
2,
6,
2,
2,
2,
3,
2,
4,
5,
3,
3,
2,
5,
5,
4,
3,
4,
4,
4,
2,
4,
4,
2,
3,
4,
4,
4,
2,
2,
2,
2,
5,
4,
3,
3,
2,
5,
2,
3,
2,
6,
2,
2,
3,
3,
2,
4,
3,
4,
3,
2,
3,
5,
4,
3,
2,
4,
3,
3,
3,
4,
2,
2,
2,
2,
2,
4,
5,
7,
3,
4,
4,
4,
2,
4,
2,
3,
3,
3,
2,
2,
4,
3,
6,
4,
2,
4,
2,
4,
3,
5,
2,
4,
4,
2,
4,
5,
3,
3,
4,
4,
2,
3,
3,
2,
4,
3,
5,
5,
2,
4,
4,
4,
6,
4,
3,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
4,
7,
3,
3,
5,
4,
4,
3,
6,
5,
4,
5,
3,
5,
3,
4,
3,
4,
4,
2,
2,
2,
4,
5,
3,
6,
4,
5,
3,
5,
2,
3,
3,
2,
2,
2,
2,
3,
3,
4,
5,
3,
2,
3,
3,
5,
4,
4,
3,
2,
3,
4,
7,
4,
6,
5,
6,
3,
3,
5,
3,
4,
4,
3,
3,
2,
2,
4,
2,
3,
3,
3,
2,
2,
3,
6,
2,
4,
4,
6,
5,
3,
4,
6,
2,
3,
4,
7,
4,
3,
3,
4,
2,
4,
3,
2,
5,
2,
3,
4,
6,
5,
4,
2,
3,
3,
2,
3,
3,
3,
3,
2,
4,
5,
4,
2,
3,
4,
2,
2,
3,
4,
4,
2,
2,
3,
3,
3,
3,
4,
1,
2,
2,
3,
3,
4,
3,
3,
4,
3,
3,
3,
4,
3,
2,
3,
2,
2,
2,
2,
2,
8,
2,
2,
2,
2,
4,
4,
2,
2,
2,
3,
2,
2,
2,
4,
3,
2,
2,
5,
4,
2,
8,
6,
3,
4,
3,
3,
4,
5,
5,
5,
4,
2,
3,
2,
4,
3,
3,
2,
2,
3,
2,
2,
3,
4,
2,
3,
4,
8,
3,
2,
5,
3,
4,
4,
7,
4,
5,
3,
4,
7,
3,
6,
3,
2,
4,
3,
2,
6,
3,
2,
2,
4,
2,
3,
6,
5,
5,
4,
3,
2,
2,
2,
6,
8,
3,
4,
2,
3,
3,
2,
4,
5,
2,
3,
3,
4,
2,
2,
3,
3,
5,
2,
3,
3,
5,
3,
2,
4,
2,
3,
3,
3,
6,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
4,
4,
3,
3,
4,
4,
4,
2,
3,
3,
2,
2,
2,
1,
2,
5,
3,
5,
3,
2,
2,
3,
2,
2,
2,
3,
5,
5,
1,
3,
2,
3,
5,
3,
3,
2,
2,
2,
5,
2,
4,
3,
4,
2,
6,
4,
2,
4,
6,
4,
2,
2,
4,
4,
6,
4,
4,
2,
6,
7,
7,
3,
4,
3,
4,
4,
3,
2,
4,
2,
2,
6,
6,
5,
4,
5,
4,
2,
3,
3,
4,
5,
2,
3,
4,
3,
2,
4,
3,
2,
2,
5,
3,
1,
2,
6,
4,
3,
4,
8,
3,
2,
2,
2,
2,
7,
4,
2,
2,
4,
3,
2,
4,
2,
3,
2,
3,
4,
3,
2,
3,
4,
2,
9,
4,
2,
2,
4,
5,
3,
4,
6,
6,
3,
3,
6,
4,
4,
6,
2,
3,
3,
2,
2,
3,
4,
3,
3,
2,
2,
2,
4,
8,
8,
3,
2,
5,
1,
4,
2,
6,
4,
2,
4,
4,
5,
2,
2,
4,
2,
2,
8,
3,
3,
2,
2,
4,
2,
3,
3,
3,
2,
3,
4,
3,
7,
5,
4,
5,
3,
2,
2,
8,
4,
3,
2,
4,
5,
6,
2,
2,
6,
3,
3,
5,
7,
3,
5,
3,
4,
3,
3,
6,
2,
8,
6,
3,
3,
3,
2,
4,
2,
4,
4,
2,
5,
3,
2,
2,
2,
4,
4,
4,
6,
2,
2,
2,
4,
6,
4,
2,
2,
2,
2,
3,
2,
7,
2,
3,
6,
5,
2,
2,
2,
4,
2,
2,
5,
2,
2,
2,
3,
4,
3,
5,
5,
3,
3,
5,
3,
3,
3,
2,
2,
2,
4,
2,
8,
4,
2,
4,
2,
2,
2,
2,
3,
3,
8,
4,
2,
2,
3,
2,
4,
1,
4,
3,
2,
4,
3,
4,
3,
2,
2,
2,
2,
3,
3,
6,
7,
6,
4,
4,
2,
4,
5,
4,
5,
2,
5,
5,
6,
7,
2,
4,
3,
3,
5,
7,
7,
4,
4,
2,
3,
3,
4,
2,
2,
2,
2,
2,
4,
2,
4,
1,
3,
3,
3,
4,
2,
4,
3,
3,
5,
5,
3,
4,
4,
4,
3,
3,
4,
4,
3,
4,
5,
4,
4,
3,
2,
8,
4,
4,
3,
2,
3,
4,
4,
4,
3,
2,
4,
2,
2,
1,
4,
4,
4,
4,
3,
4,
3,
4,
3,
4,
4,
3,
2,
5,
4,
2,
2,
2,
4,
3,
3,
2,
5,
2,
2,
2,
3,
3,
4,
2,
3,
4,
4,
4,
3,
4,
3,
3,
3,
4,
4,
7,
2,
2,
2,
2,
2,
3,
4,
2,
3,
4,
4,
2,
2,
2,
3,
2,
4,
5,
8,
4,
2,
4,
4,
6,
5,
4,
6,
6,
3,
2,
3,
3,
3,
3,
5,
2,
2,
4,
4,
4,
2,
3,
2,
3,
2,
3,
4,
1,
2,
3,
3,
4,
4,
2,
5,
3,
2,
3,
3,
2,
3,
2,
2,
2,
3,
3,
4,
4,
2,
3,
4,
3,
2,
5,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
3,
2,
6,
3,
4,
3,
3,
4,
3,
2,
5,
6,
6,
2,
3,
2,
2,
3,
6,
2,
1,
3,
4,
3,
3,
4,
3,
2,
2,
3,
3,
3,
3,
4,
3,
3,
1,
2,
3,
3,
7,
6,
7,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
4,
1,
2,
2,
4,
2,
3,
2,
3,
4,
5,
3,
3,
5,
2,
3,
4,
5,
2,
4,
3,
2,
2,
5,
4,
2,
4,
3,
2,
2,
2,
4,
7,
2,
6,
3,
2,
2,
2,
4,
3,
3,
2,
3,
7,
4,
2,
2,
4,
5,
4,
3,
2,
4,
3,
3,
2,
4,
4,
4,
3,
3,
3,
2,
5,
3,
4,
4,
4,
3,
2,
4,
5,
5,
2,
4,
4,
4,
3,
4,
2,
4,
4,
2,
3,
4,
3,
2,
4,
2,
2,
2,
2,
5,
4,
4,
5,
2,
3,
6,
6,
4,
3,
2,
4,
3,
7,
4,
2,
3,
4,
3,
2,
4,
2,
2,
2,
3,
3,
3,
4,
5,
5,
4,
2,
6,
6,
4,
2,
4,
6,
4,
3,
3,
5,
4,
5,
4,
2,
4,
3,
2,
2,
3,
4,
3,
4,
3,
3,
5,
5,
4,
3,
4,
4,
3,
4,
4,
4,
3,
2,
2,
2,
4,
3,
2,
6,
3,
3,
2,
2,
2,
2,
4,
3,
2,
2,
2,
4,
4,
4,
3,
2,
3,
2,
4,
2,
3,
3,
2,
2,
3,
2,
2,
4,
2,
4,
4,
2,
2,
2,
1,
4,
2,
4,
4,
4,
4,
2,
2,
3,
3,
2,
2,
7,
2,
4,
3,
3,
3,
2,
5,
7,
3,
2,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
2,
6,
4,
4,
4,
3,
3,
3,
3,
3,
3,
5,
4,
1,
3,
2,
5,
4,
4,
4,
4,
6,
2,
6,
2,
3,
4,
4,
4,
5,
3,
3,
4,
4,
4,
5,
6,
1,
2,
3,
5,
2,
3,
3,
3,
7,
4,
4,
5,
5,
4,
4,
4,
3,
4,
2,
2,
4,
4,
4,
3,
2,
6,
2,
5,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
2,
3,
3,
7,
6,
6,
4,
7,
4,
4,
4,
2,
2,
3,
2,
2,
2,
3,
4,
7,
2,
4,
5,
5,
3,
6,
3,
4,
3,
4,
2,
3,
3,
6,
3,
3,
1,
3,
2,
2,
4,
4,
7,
7,
4,
9,
5,
3,
2,
5,
4,
3,
3,
4,
4,
2,
2,
3,
6,
5,
4,
4,
4,
4,
3,
2,
2,
2,
3,
5,
2,
2,
3,
4,
3,
3,
3,
4,
2,
2,
4,
3,
1,
1,
4,
4,
6,
3,
3,
3,
3,
3,
3,
3,
3,
6,
4,
4,
2,
3,
2,
6,
2,
1,
2,
3,
2,
5,
4,
4,
7,
2,
4,
2,
3,
4,
3,
4,
3,
2,
6,
3,
4,
3,
4,
2,
4,
4,
4,
2,
3,
3,
2,
3,
3,
4,
2,
3,
2,
2,
4,
4,
3,
3,
3,
2,
2,
4,
3,
4,
7,
1,
2,
5,
3,
3,
4,
8,
3,
4,
2,
3,
2,
3,
3,
4,
4,
2,
3,
4,
4,
2,
2,
4,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
2,
4,
4,
6,
2,
2,
2,
4,
4,
4,
3,
3,
4,
2,
5,
2,
2,
5,
2,
2,
4,
2,
2,
3,
3,
2,
3,
3,
3,
2,
3,
2,
3,
3,
3,
3,
3,
5,
2,
4,
2,
2,
4,
3,
2,
2,
4,
3,
4,
4,
3,
3,
4,
4,
2,
2,
3,
3,
2,
2,
3,
2,
3,
2,
2,
3,
2,
2,
4,
2,
2,
6,
2,
2,
5,
3,
3,
3,
4,
2,
3,
3,
3,
2,
4,
2,
4,
2,
4,
3,
4,
2,
4,
2,
2,
2,
2,
3,
3,
4,
4,
3,
4,
1,
1,
2,
3,
4,
5,
3,
2,
3,
7,
2,
3,
3,
4,
4,
8,
4,
4,
4,
3,
3,
2,
4,
3,
2,
4,
5,
4,
4,
7,
7,
4,
4,
4,
3,
2,
4,
4,
3,
4,
4,
4,
5,
2,
2,
3,
4,
3,
2,
5,
4,
4,
3,
5,
4,
4,
4,
4,
2,
2,
3,
2,
8,
8,
2,
2,
2,
3,
7,
3,
5,
3,
2,
2,
4,
4,
2,
4,
2,
4,
5,
4,
3,
4,
7,
4,
2,
5,
1,
3,
5,
4,
3,
3,
4,
2,
4,
3,
2,
2,
3,
1,
3,
6,
3,
4,
5,
3,
4,
4,
6,
6,
5,
4,
2,
3,
5,
2,
4,
5,
2,
2,
2,
3,
3,
4,
2,
4,
2,
3,
8,
4,
3,
2,
3,
4,
4,
4,
3,
3,
5,
4,
4,
3,
2,
3,
3,
4,
3,
4,
2,
3,
8,
3,
4,
2,
3,
2,
5,
2,
2,
5,
3,
4,
5,
2,
5,
2,
4,
4,
6,
4,
2,
2,
2,
2,
5,
2,
2,
3,
6,
2,
2,
2,
3,
3,
2,
4,
2,
4,
4,
4,
2,
4,
4,
4,
4,
3,
2,
3,
3,
3,
5,
6,
4,
3,
4,
5,
4,
4,
4,
5,
6,
2,
3,
3,
2,
2,
2,
5,
4,
3,
4,
5,
4,
4,
3,
6,
4,
3,
5,
2,
3,
2,
3,
2,
2,
2,
2,
2,
4,
4,
3,
4,
4,
3,
4,
3,
4,
4,
3,
2,
2,
3,
3,
4,
4,
3,
4,
5,
3,
3,
3,
2,
6,
4,
4,
2,
4,
4,
3,
2,
2,
3,
2,
2,
4,
5,
5,
5,
2,
3,
2,
2,
4,
3,
3,
4,
5,
2,
2,
6,
6,
2,
4,
4,
5,
5,
3,
4,
2,
4,
4,
2,
3,
3,
4,
4,
4,
4,
3,
4,
3,
4,
4,
3,
2,
2,
3,
3,
3,
2,
4,
4,
1,
3,
2,
3,
3,
4,
6,
5,
2,
2,
3,
4,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
3,
2,
2,
2,
3,
3,
3,
4,
2,
2,
4,
4,
3,
3,
3,
4,
5,
3,
2,
3,
2,
2,
2,
4,
6,
4,
4,
9,
3,
2,
5,
5,
7,
6,
2,
2,
2,
3,
4,
5,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
3,
4,
4,
2,
2,
3,
3,
4,
3,
2,
3,
3,
3,
4,
3,
5,
4,
4,
2,
2,
4,
2,
4,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
5,
5,
1,
4,
3,
5,
4,
5,
2,
2,
4,
2,
2,
2,
5,
3,
4,
3,
3,
3,
4,
3,
4,
2,
1,
6,
8,
4,
4,
3,
3,
2,
3,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
2,
1,
4,
5,
6,
2,
2,
3,
7,
6,
6,
5,
4,
4,
4,
3,
3,
6,
4,
2,
2,
4,
4,
2,
4,
2,
2,
4,
1,
6,
2,
4,
2,
4,
3,
2,
2,
1,
2,
2,
3,
3,
2,
2,
4,
3,
4,
4,
2,
3,
2,
2,
3,
4,
5,
5,
2,
2,
2,
2,
2,
4,
6,
4,
5,
5,
4,
3,
2,
3,
4,
4,
2,
4,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
6,
3,
4,
4,
4,
3,
2,
2,
2,
3,
4,
3,
3,
3,
2,
2,
2,
7,
4,
3,
4,
2,
2,
2,
4,
3,
3,
4,
3,
4,
2,
4,
4,
3,
3,
4,
3,
2,
4,
4,
2,
2,
4,
2,
2,
3,
3,
2,
3,
4,
4,
3,
4,
4,
4,
4,
3,
3,
2,
2,
2,
4,
4,
2,
2,
2,
5,
2,
3,
2,
4,
6,
5,
4,
4,
4,
4,
3,
2,
2,
3,
2,
2,
4,
4,
4,
2,
4,
4,
4,
4,
2,
3,
4,
4,
3,
2,
4,
3,
2,
4,
4,
2,
4,
4,
3,
2,
3,
4,
4,
3,
3,
3,
4,
3,
3,
8,
3,
3,
1,
4,
5,
4,
4,
2,
4,
2,
2,
3,
4,
6,
6,
5,
2,
2,
4,
3,
4,
4,
2,
3,
2,
2,
2,
2,
5,
2,
4,
2,
2,
4,
3,
3,
4,
3,
8,
7,
4,
3,
3,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
2,
6,
3,
3,
3,
3,
3,
4,
5,
3,
3,
2,
6,
6,
5,
3,
4,
2,
4,
4,
4,
7,
2,
4,
4,
4,
4,
4,
3,
2,
3,
3,
8,
2,
3,
4,
5,
3,
3,
4,
2,
4,
5,
4,
2,
3,
2,
3,
4,
4,
4,
3,
4,
3,
2,
4,
3,
3,
5,
1,
6,
4,
2,
5,
4,
3,
1,
3,
2,
4,
2,
4,
4,
3,
5,
4,
4,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
3,
4,
6,
2,
2,
2,
2,
2,
4,
4,
3,
2,
4,
2,
2,
4,
8,
4,
5,
4,
7,
4,
4,
3,
3,
4,
2,
2,
2,
4,
3,
2,
2,
4,
2,
3,
4,
4,
4,
4,
2,
3,
3,
4,
2,
2,
2,
3,
4,
4,
4,
2,
4,
2,
3,
2,
3,
4,
2,
6,
2,
3,
6,
4,
2,
4,
2,
2,
3,
3,
3,
6,
4,
4,
4,
3,
3,
2,
3,
2,
2,
2,
5,
4,
2,
3,
1,
3,
2,
3,
4,
3,
4,
2,
3,
3,
4,
4,
2,
2,
2,
7,
2,
4,
3,
6,
4,
3,
3,
3,
4,
2,
3,
5,
5,
2,
2,
1,
2,
3,
2,
2,
4,
3,
8,
4,
3,
4,
4,
3,
2,
3,
2,
4,
2,
3,
3,
3,
3,
3,
2,
4,
4,
4,
3,
3,
3,
7,
4,
6,
2,
2,
2,
4,
4,
4,
4,
3,
3,
2,
3,
4,
4,
3,
5,
2,
2,
2,
1,
4,
2,
5,
3,
2,
2,
3,
5,
4,
3,
3,
2,
4,
1,
4,
2,
4,
6,
2,
2,
3,
3,
3,
3,
5,
5,
4,
5,
5,
6,
4,
2,
5,
4,
4,
3,
4,
2,
2,
4,
2,
4,
4,
3,
4,
2,
2,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
4,
2,
3,
5,
4,
3,
3,
5,
4,
2,
2,
3,
5,
3,
4,
5,
6,
4,
6,
3,
3,
8,
2,
3,
3,
2,
4,
4,
3,
3,
4,
2,
4,
5,
4,
3,
3,
7,
6,
6,
3,
5,
2,
4,
3,
2,
3,
3,
5,
4,
4,
3,
3,
3,
3,
2,
6,
3,
4,
6,
3,
4,
4,
7,
2,
3,
3,
4,
3,
3,
2,
2,
2,
2,
2,
4,
4,
3,
5,
2,
2,
3,
3,
2,
6,
6,
4,
6,
2,
2,
2,
4,
3,
2,
2,
3,
4,
4,
3,
4,
3,
4,
3,
4,
3,
3,
2,
4,
4,
3,
3,
4,
3,
3,
2,
2,
2,
7,
3,
3,
5,
4,
5,
3,
3,
2,
1,
3,
3,
3,
4,
2,
4,
4,
3,
4,
3,
5,
4,
4,
2,
4,
2,
3,
2,
7,
5,
4,
6,
3,
4,
3,
4,
2,
2,
3,
2,
4,
4,
3,
2,
3,
4,
2,
4,
5,
3,
4,
4,
2,
3,
2,
3,
4,
4,
3,
4,
4,
3,
5,
3,
4,
2,
3,
3,
3,
3,
2,
3,
2,
5,
4,
4,
4,
3,
2,
8,
4,
4,
4,
4,
3,
4,
3,
3,
2,
4,
2,
6,
2,
3,
6,
6,
3,
3,
2,
2,
7,
3,
4,
4,
4,
4,
3,
5,
3,
3,
2,
5,
3,
2,
2,
4,
3,
2,
4,
2,
4,
2,
4,
4,
4,
2,
2,
3,
3,
4,
4,
3,
3,
2,
3,
4,
4,
2,
2,
6,
4,
4,
2,
3,
2,
2,
3,
4,
2,
5,
2,
7,
6,
4,
4,
4,
5,
2,
2,
2,
3,
3,
2,
3,
5,
3,
3,
3,
4,
8,
3,
2,
3,
4,
6,
3,
2,
3,
3,
3,
4,
5,
5,
3,
3,
5,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
5,
4,
3,
4,
2,
3,
4,
2,
4,
4,
2,
4,
2,
2,
3,
4,
4,
3,
3,
4,
2,
4,
4,
2,
4,
7,
2,
4,
2,
3,
2,
3,
5,
3,
3,
3,
4,
4,
2,
3,
2,
2,
7,
4,
4,
3,
4,
4,
4,
4,
5,
4,
4,
5,
3,
3,
2,
2,
4,
4,
3,
2,
3,
3,
1,
3,
2,
4,
4,
6,
4,
2,
2,
3,
3,
3,
4,
3,
2,
4,
3,
6,
3,
3,
2,
4,
3,
4,
1,
2,
3,
3,
2,
2,
2,
3,
3,
3,
4,
3,
4,
4,
3,
3,
4,
4,
3,
3,
3,
2,
4,
3,
4,
4,
4,
2,
2,
4,
5,
5,
4,
3,
2,
5,
5,
3,
4,
3,
3,
4,
3,
5,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
5,
3,
3,
3,
3,
2,
2,
3,
3,
2,
3,
2,
6,
3,
2,
3,
1,
2,
2,
2,
3,
5,
4,
4,
4,
4,
3,
3,
2,
4,
4,
3,
6,
5,
6,
6,
3,
3,
2,
3,
2,
3,
2,
2,
3,
2,
6,
3,
3,
2,
4,
4,
2,
5,
3,
2,
4,
4,
2,
4,
4,
2,
3,
4,
3,
2,
2,
2,
2,
5,
5,
3,
4,
2,
4,
3,
3,
3,
4,
3,
4,
5,
2,
6,
8,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
5,
3,
4,
4,
5,
4,
4,
2,
4,
7,
1,
2,
5,
2,
3,
3,
3,
3,
4,
3,
3,
3,
2,
5,
3,
4,
2,
3,
3,
5,
4,
2,
3,
3,
3,
2,
6,
3,
4,
4,
4,
2,
5,
2,
2,
2,
2,
5,
3,
4,
3,
2,
5,
2,
4,
2,
2,
3,
4,
4,
4,
3,
2,
2,
4,
3,
3,
4,
2,
5,
3,
4,
7,
4,
2,
2,
4,
4,
4,
2,
3,
4,
4,
4,
2,
3,
4,
3,
5,
3,
2,
3,
2,
2,
3,
3,
3,
4,
3,
3,
2,
4,
5,
3,
4,
2,
3,
3,
1,
3,
3,
5,
2,
3,
3,
2,
2,
8,
1,
3,
2,
2,
3,
2,
4,
2,
4,
2,
4,
4,
4,
4,
6,
3,
4,
2,
2,
4,
2,
2,
5,
3,
4,
4,
4,
2,
4,
4,
5,
3,
3,
2,
4,
2,
2,
4,
2,
2,
3,
3,
3,
2,
2,
4,
4,
2,
2,
3,
8,
5,
3,
4,
5,
3,
3,
4,
4,
2,
4,
2,
2,
2,
5,
3,
2,
2,
5,
3,
5,
5,
4,
3,
2,
5,
5,
6,
3,
3,
4,
2,
2,
3,
3,
2,
3,
3,
3,
3,
2,
4,
2,
3,
3,
2,
2,
2,
2,
2,
4,
3,
2,
5,
3,
4,
6,
4,
3,
2,
4,
3,
3,
5,
2,
2,
4,
3,
3,
4,
2,
2,
2,
5,
5,
5,
3,
2,
3,
2,
4,
4,
2,
4,
2,
5,
5,
2,
8,
4,
3,
3,
2,
2,
6,
5,
2,
4,
2,
2,
3,
3,
7,
2,
4,
4,
1,
3,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
4,
2,
8,
6,
4,
2,
2,
4,
3,
3,
3,
4,
2,
4,
5,
4,
2,
3,
2,
2,
2,
1,
4,
3,
4,
2,
3,
2,
2,
3,
3,
4,
2,
3,
4,
4,
2,
2,
4,
4,
2,
3,
3,
6,
2,
4,
4,
2,
2,
3,
2,
2,
2,
3,
7,
2,
3,
6,
4,
2,
2,
4,
3,
5,
5,
4,
5,
2,
2,
4,
5,
2,
4,
2,
4,
1,
3,
8,
3,
3,
2,
2,
2,
2,
2,
5,
4,
3,
2,
2,
3,
3,
4,
2,
2,
3,
3,
2,
5,
5,
3,
3,
3,
3,
3,
2,
2,
3,
2,
3,
4,
4,
3,
4,
2,
3,
4,
2,
7,
4,
2,
4,
2,
2,
2,
4,
4,
4,
2,
4,
5,
4,
2,
2,
3,
4,
4,
2,
4,
4,
2,
3,
3,
4,
3,
4,
4,
2,
2,
4,
2,
2,
4,
4,
2,
2,
3,
3,
4,
3,
2,
2,
2,
5,
2,
4,
2,
3,
4,
4,
2,
2,
3,
2,
6,
3,
4,
4,
6,
4,
2,
3,
3,
3,
2,
4,
4,
2,
2,
4,
3,
7,
4,
4,
1,
4,
6,
2,
3,
3,
3,
3,
1,
4,
3,
3,
2,
4,
4,
2,
4,
4,
3,
2,
2,
6,
4,
4,
4,
4,
4,
3,
3,
5,
4,
4,
3,
3,
2,
4,
3,
4,
3,
4,
4,
4,
4,
3,
2,
3,
3,
2,
4,
4,
2,
6,
4,
4,
5,
3,
4,
2,
2,
2,
2,
3,
3,
3,
2,
6,
5,
4,
2,
2,
2,
2,
4,
2,
4,
4,
3,
2,
2,
3,
4,
2,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
2,
4,
5,
4,
4,
4,
3,
5,
2,
2,
2,
2,
3,
2,
3,
2,
4,
6,
4,
3,
3,
3,
5,
3,
2,
2,
3,
2,
2,
2,
4,
4,
4,
3,
4,
2,
5,
4,
3,
2,
3,
2,
3,
3,
4,
2,
3,
2,
2,
3,
4,
4,
2,
3,
4,
2,
7,
3,
3,
4,
4,
2,
4,
2,
4,
3,
3,
2,
4,
2,
4,
6,
2,
3,
3,
2,
4,
2,
2,
4,
5,
2,
3,
3,
4,
5,
2,
2,
4,
4,
1,
3,
2,
2,
4,
3,
2,
5,
2,
2,
4,
5,
3,
2,
3,
1,
3,
2,
1,
3,
4,
5,
2,
2,
2,
4,
3,
5,
4,
2,
3,
2,
3,
3,
3,
4,
3,
4,
5,
3,
3,
2,
8,
2,
2,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
6,
2,
2,
2,
3,
4,
3,
4,
3,
4,
2,
2,
2,
2,
3,
4,
3,
3,
4,
3,
5,
2,
2,
5,
2,
2,
2,
4,
4,
3,
3,
2,
5,
4,
4,
3,
4,
4,
1,
4,
3,
3,
3,
3,
3,
4,
4,
6,
5,
2,
2,
4,
4,
7,
3,
4,
4,
3,
4,
4,
3,
3,
2,
4,
2,
4,
4,
4,
4,
4,
2,
2,
4,
2,
4,
2,
5,
4,
4,
2,
4,
5,
4,
4,
3,
4,
7,
2,
3,
4,
4,
2,
2,
2,
3,
4,
4,
4,
2,
4,
3,
4,
4,
6,
6,
5,
2,
3,
4,
2,
4,
2,
2,
3,
4,
4,
4,
4,
4,
3,
3,
2,
5,
4,
3,
5,
2,
3,
4,
3,
3,
4,
5,
1,
2,
3,
3,
3,
4,
5,
4,
3,
3,
4,
3,
2,
4,
4,
4,
4,
2,
2,
4,
2,
4,
3,
2,
2,
4,
3,
3,
4,
2,
5,
2,
4,
4,
4,
4,
3,
4,
3,
3,
4,
4,
5,
2,
4,
3,
2,
4,
3,
2,
2,
3,
2,
2,
5,
3,
8,
3,
3,
4,
4,
3,
4,
3,
3,
4,
4,
6,
4,
2,
1,
4,
3,
3,
3,
2,
4,
2,
4,
2,
5,
6,
3,
3,
2,
2,
4,
3,
4,
3,
3,
4,
4,
4,
4,
2,
3,
4,
3,
2,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
5,
2,
4,
3,
4,
2,
3,
3,
2,
2,
2,
4,
3,
2,
2,
2,
2,
4,
3,
4,
5,
4,
4,
3,
2,
2,
2,
4,
3,
3,
2,
4,
4,
4,
7,
3,
3,
2,
4,
3,
4,
2,
4,
3,
4,
4,
4,
3,
2,
3,
4,
7,
4,
4,
3,
4,
2,
2,
4,
4,
3,
3,
4,
2,
4,
2,
4,
2,
2,
2,
2,
4,
2,
4,
3,
4,
2,
2,
3,
7,
3,
4,
2,
5,
4,
2,
4,
4,
4,
4,
4,
4,
4,
5,
4,
2,
3,
2,
4,
4,
5,
2,
2,
4,
2,
5,
4,
4,
4,
3,
5,
3,
4,
3,
3,
2,
3,
3,
2,
2,
3,
3,
3,
2,
4,
4,
3,
2,
3,
5,
7,
2,
4,
2,
4,
2,
3,
4,
3,
2,
2,
2,
2,
2,
4,
3,
4,
2,
4,
2,
4,
4,
4,
4,
3,
3,
2,
3,
3,
4,
4,
5,
4,
6,
4,
3,
2,
6,
2,
6,
2,
3,
3,
2,
4,
3,
4,
3,
2,
2,
2,
5,
2,
4,
3,
2,
2,
3,
4,
2,
4,
3,
4,
2,
5,
2,
2,
5,
2,
2,
3,
3,
4,
3,
4,
2,
2,
4,
3,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
4,
3,
5,
2,
1,
2,
2,
3,
5,
5,
5,
2,
9,
3,
5,
2,
4,
6,
4,
4,
3,
4,
2,
4,
2,
3,
3,
1,
2,
4,
4,
2,
4,
2,
3,
6,
2,
3,
6,
4,
6,
2,
4,
4,
2,
3,
3,
4,
4,
3,
3,
3,
4,
2,
2,
3,
4,
4,
1,
3,
2,
3,
2,
3,
2,
1,
3,
4,
5,
2,
2,
2,
3,
6,
3,
2,
5,
3,
2,
4,
2,
3,
4,
7,
3,
3,
3,
4,
4,
5,
4,
3,
3,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
3,
5,
2,
3,
6,
4,
2,
3,
2,
6,
3,
3,
2,
3,
2,
4,
4,
5,
6,
2,
2,
2,
4,
1,
2,
1,
2,
2,
2,
4,
4,
2,
4,
2,
4,
4,
3,
3,
5,
2,
2,
2,
4,
2,
2,
2,
3,
4,
4,
2,
4,
2,
4,
4,
2,
5,
2,
2,
5,
4,
4,
2,
2,
5,
4,
4,
5,
5,
4,
1,
2,
4,
2,
3,
5,
2,
4,
7,
4,
2,
4,
2,
3,
4,
8,
5,
4,
2,
2,
3,
3,
2,
2,
2,
2,
3,
1,
2,
4,
7,
3,
2,
2,
2,
6,
2,
4,
3,
5,
2,
2,
7,
6,
7,
3,
3,
2,
3,
5,
6,
2,
2,
3,
1,
3,
2,
3,
3,
3,
4,
3,
3,
3,
3,
4,
2,
4,
5,
2,
3,
5,
3,
7,
2,
4,
6,
2,
4,
3,
1,
3,
4,
4,
4,
4,
5,
2,
3,
2,
3,
3,
2,
3,
2,
4,
4,
2,
2,
2,
2,
3,
4,
3,
3,
3,
4,
5,
2,
3,
2,
2,
4,
3,
5,
5,
3,
2,
2,
4,
3,
2,
4,
4,
2,
2,
6,
5,
2,
5,
3,
6,
3,
4,
3,
3,
3,
3,
6,
2,
3,
3,
2,
2,
4,
3,
3,
4,
4,
2,
4,
2,
2,
3,
2,
3,
6,
2,
2,
4,
2,
3,
2,
3,
2,
2,
3,
4,
2,
4,
6,
4,
4,
4,
4,
4,
3,
4,
4,
7,
2,
2,
2,
2,
4,
4,
2,
4,
2,
2,
3,
5,
4,
3,
4,
3,
3,
4,
2,
2,
2,
4,
3,
2,
2,
4,
2,
2,
2,
2,
3,
3,
4,
2,
1,
3,
2,
3,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
3,
2,
3,
3,
5
],
"xaxis": "x",
"yaxis": "y"
},
{
"alignmentgroup": "True",
"hovertemplate": "Available Extra Rooms in Hospital=%{x}",
"legendgroup": "",
"marker": {
"color": "orange"
},
"name": "",
"notched": true,
"offsetgroup": "",
"showlegend": false,
"type": "box",
"x": [
3,
2,
2,
2,
2,
2,
1,
4,
2,
2,
2,
4,
2,
3,
4,
3,
4,
4,
4,
4,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
3,
3,
3,
2,
2,
2,
1,
2,
4,
6,
2,
3,
2,
2,
2,
2,
2,
4,
5,
2,
2,
2,
4,
4,
4,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
7,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
4,
3,
3,
3,
3,
4,
4,
3,
6,
4,
5,
4,
4,
3,
4,
3,
6,
4,
3,
3,
6,
4,
4,
5,
2,
2,
4,
8,
4,
2,
6,
4,
4,
4,
4,
4,
3,
2,
7,
5,
5,
4,
3,
3,
3,
3,
3,
3,
4,
1,
3,
6,
2,
3,
1,
1,
5,
5,
4,
3,
3,
4,
3,
4,
3,
3,
4,
4,
3,
3,
3,
4,
2,
3,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
2,
4,
7,
3,
2,
2,
2,
3,
2,
2,
3,
7,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
5,
3,
4,
3,
3,
3,
3,
4,
4,
4,
5,
4,
5,
3,
4,
2,
4,
4,
3,
4,
2,
4,
4,
4,
4,
2,
2,
4,
4,
2,
2,
2,
4,
4,
3,
4,
4,
5,
5,
3,
2,
2,
2,
4,
4,
3,
4,
4,
2,
2,
4,
3,
2,
6,
4,
2,
2,
2,
2,
4,
2,
4,
4,
3,
5,
4,
4,
3,
3,
2,
3,
5,
4,
2,
2,
2,
2,
2,
4,
4,
2,
3,
4,
5,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
4,
5,
3,
4,
4,
2,
2,
4,
2,
1,
2,
3,
3,
9,
4,
3,
3,
3,
4,
2,
4,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
2,
3,
2,
2,
2,
3,
2,
2,
2,
2,
3,
4,
3,
4,
4,
4,
4,
4,
1,
4,
4,
6,
4,
4,
4,
7,
6,
4,
4,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
1,
3,
5,
4,
4,
4,
2,
3,
4,
2,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
8,
7,
7,
5,
3,
5,
5,
7,
6,
7,
5,
4,
2,
2,
2,
2,
3,
3,
3,
4,
2,
1,
2,
4,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
3,
3,
3,
4,
5,
2,
3,
3,
4,
3,
3,
4,
6,
3,
3,
4,
2,
3,
3,
7,
2,
4,
2,
4,
4,
3,
4,
4,
4,
3,
3,
6,
4,
4,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
5,
2,
3,
6,
4,
5,
5,
3,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
5,
2,
2,
3,
3,
4,
2,
2,
2,
2,
4,
2,
4,
3,
2,
4,
4,
4,
2,
2,
2,
3,
7,
2,
3,
2,
4,
4,
4,
3,
2,
3,
3,
2,
4,
3,
2,
2,
2,
4,
2,
3,
2,
2,
3,
4,
3,
4,
4,
4,
3,
3,
2,
4,
4,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
3,
2,
2,
3,
5,
4,
4,
8,
3,
2,
3,
3,
3,
2,
2,
2,
5,
2,
2,
3,
2,
3,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
5,
4,
4,
3,
3,
3,
2,
4,
2,
7,
7,
4,
5,
2,
2,
2,
4,
4,
2,
4,
2,
4,
4,
3,
2,
3,
3,
3,
3,
6,
2,
3,
4,
4,
4,
6,
3,
4,
3,
2,
1,
4,
2,
4,
4,
4,
1,
3,
1,
3,
4,
3,
3,
3,
3,
5,
2,
5,
5,
5,
4,
4,
3,
3,
4,
3,
4,
3,
4,
4,
4,
4,
3,
2,
4,
3,
4,
4,
5,
6,
7,
4,
4,
2,
2,
4,
3,
4,
4,
6,
6,
4,
6,
2,
4,
2,
2,
3,
2,
2,
2,
3,
4,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
4,
4,
4,
6,
4,
4,
3,
2,
3,
3,
1,
2,
2,
2,
2,
2,
2,
2,
5,
3,
2,
4,
2,
6,
3,
4,
4,
3,
4,
3,
4,
2,
3,
2,
3,
3,
3,
5,
5,
3,
3,
3,
2,
2,
5,
2,
2,
2,
2,
5,
2,
3,
2,
7,
2,
3,
3,
3,
3,
2,
3,
3,
2,
3,
5,
2,
2,
2,
4,
2,
2,
2,
2,
2,
5,
2,
5,
3,
3,
2,
4,
4,
2,
2,
3,
3,
3,
4,
5,
4,
3,
1,
2,
2,
4,
3,
7,
6,
2,
2,
6,
3,
2,
3,
2,
4,
4,
3,
4,
2,
4,
3,
4,
6,
2,
3,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
4,
2,
6,
3,
3,
3,
3,
3,
3,
3,
3,
4,
5,
4,
4,
2,
4,
4,
2,
2,
2,
3,
5,
4,
2,
2,
4,
4,
3,
3,
2,
3,
2,
3,
4,
3,
3,
2,
3,
3,
4,
2,
3,
2,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
7,
3,
4,
2,
3,
3,
3,
5,
3,
2,
2,
2,
2,
3,
4,
4,
2,
4,
2,
3,
3,
3,
3,
3,
2,
4,
5,
2,
2,
4,
4,
4,
4,
3,
2,
3,
3,
2,
3,
7,
4,
5,
4,
3,
4,
5,
2,
3,
2,
3,
3,
3,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
5,
10,
4,
2,
3,
3,
3,
4,
3,
3,
3,
4,
6,
4,
2,
2,
3,
4,
4,
3,
2,
2,
2,
4,
2,
4,
4,
7,
4,
5,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
2,
3,
3,
3,
4,
2,
3,
2,
2,
4,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
4,
6,
3,
2,
3,
5,
3,
3,
3,
3,
4,
4,
5,
4,
4,
4,
2,
2,
4,
2,
5,
5,
3,
3,
3,
4,
4,
2,
4,
4,
5,
4,
4,
4,
3,
4,
3,
5,
2,
5,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
5,
5,
4,
2,
3,
5,
5,
3,
3,
2,
3,
3,
2,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
5,
4,
4,
4,
3,
2,
5,
2,
5,
7,
4,
5,
4,
1,
2,
3,
3,
3,
3,
4,
3,
4,
3,
5,
4,
3,
4,
5,
3,
4,
4,
4,
2,
2,
3,
2,
5,
4,
5,
2,
2,
6,
3,
3,
4,
6,
2,
5,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
3,
4,
2,
2,
4,
4,
4,
2,
2,
3,
4,
3,
2,
4,
2,
2,
3,
5,
5,
5,
5,
3,
4,
4,
4,
4,
3,
3,
4,
2,
3,
3,
4,
2,
5,
3,
3,
2,
2,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
3,
2,
2,
2,
4,
2,
2,
5,
4,
3,
3,
2,
2,
3,
3,
2,
3,
3,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
4,
3,
2,
3,
3,
2,
2,
5,
3,
3,
3,
3,
4,
3,
3,
2,
2,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
4,
3,
3,
2,
2,
3,
2,
2,
2,
1,
3,
1,
5,
3,
3,
3,
6,
3,
3,
3,
2,
2,
2,
3,
4,
3,
4,
3,
2,
3,
6,
6,
4,
4,
4,
3,
4,
4,
2,
2,
2,
2,
2,
3,
4,
4,
3,
4,
2,
4,
4,
3,
3,
2,
3,
5,
4,
4,
4,
3,
2,
3,
4,
4,
3,
3,
4,
4,
5,
3,
2,
1,
3,
2,
3,
2,
3,
2,
4,
2,
5,
3,
2,
4,
2,
2,
4,
2,
4,
4,
2,
3,
4,
3,
4,
4,
4,
4,
6,
4,
4,
4,
4,
2,
2,
2,
7,
1,
4,
4,
5,
3,
3,
2,
1,
1,
1,
3,
3,
1,
1,
4,
3,
3,
5,
2,
2,
3,
2,
4,
4,
4,
4,
2,
4,
4,
5,
3,
4,
3,
3,
2,
2,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
6,
4,
4,
2,
3,
3,
2,
5,
1,
7,
2,
3,
3,
5,
4,
4,
4,
4,
3,
4,
4,
2,
3,
4,
4,
4,
4,
4,
1,
3,
2,
3,
3,
1,
2,
3,
3,
3,
2,
2,
1,
5,
4,
2,
2,
4,
1,
2,
2,
2,
1,
2,
3,
2,
4,
4,
4,
3,
4,
3,
3,
3,
2,
2,
4,
4,
4,
3,
2,
2,
2,
2,
6,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
5,
4,
4,
2,
2,
2,
2,
4,
4,
2,
2,
6,
3,
4,
3,
3,
2,
2,
4,
2,
3,
4,
3,
3,
1,
4,
1,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
3,
3,
4,
4,
4,
4,
3,
3,
4,
3,
4,
1,
3,
4,
2,
3,
4,
3,
5,
2,
3,
3,
6,
4,
6,
3,
7,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
3,
2,
2,
3,
4,
4,
2,
4,
3,
3,
4,
4,
4,
4,
2,
5,
2,
2,
2,
2,
2,
4,
4,
4,
2,
4,
3,
3,
3,
2,
2,
3,
2,
2,
2,
3,
3,
3,
2,
4,
3,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
6,
4,
3,
4,
3,
3,
3,
4,
3,
2,
3,
3,
5,
2,
3,
2,
4,
5,
2,
3,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
4,
2,
5,
4,
4,
2,
3,
3,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
8,
4,
3,
4,
3,
3,
2,
3,
3,
2,
4,
2,
2,
5,
5,
3,
3,
4,
3,
4,
4,
1,
3,
3,
4,
4,
4,
2,
2,
2,
2,
4,
3,
4,
5,
3,
3,
4,
4,
2,
5,
3,
2,
6,
3,
4,
4,
3,
3,
3,
3,
3,
2,
4,
2,
3,
3,
2,
4,
4,
4,
3,
4,
4,
4,
2,
2,
2,
4,
2,
4,
2,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
9,
3,
3,
3,
4,
5,
4,
4,
4,
2,
3,
3,
2,
4,
4,
4,
4,
2,
3,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
5,
5,
2,
2,
4,
3,
2,
3,
4,
2,
2,
2,
5,
3,
3,
5,
2,
6,
4,
5,
5,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
3,
2,
3,
4,
4,
3,
6,
2,
4,
2,
5,
6,
3,
2,
2,
2,
5,
3,
3,
2,
4,
3,
3,
5,
3,
2,
4,
7,
6,
4,
5,
4,
4,
4,
2,
2,
2,
3,
3,
2,
2,
3,
1,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
2,
2,
4,
2,
4,
2,
4,
2,
3,
2,
2,
2,
2,
2,
2,
5,
2,
3,
2,
5,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
3,
2,
3,
2,
4,
3,
4,
2,
4,
3,
5,
3,
4,
5,
4,
2,
3,
4,
2,
2,
3,
2,
3,
2,
4,
4,
4,
2,
5,
4,
5,
4,
2,
2,
2,
3,
3,
4,
2,
3,
5,
2,
3,
5,
3,
2,
3,
3,
3,
3,
1,
2,
4,
2,
2,
2,
3,
1,
2,
2,
2,
4,
4,
2,
5,
4,
4,
2,
2,
4,
3,
2,
2,
2,
3,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
5,
3,
2,
2,
2,
2,
4,
5,
3,
3,
4,
2,
7,
4,
4,
3,
3,
4,
4,
2,
2,
2,
2,
3,
3,
1,
6,
2,
3,
6,
3,
4,
3,
3,
2,
5,
3,
4,
4,
2,
2,
4,
4,
2,
4,
4,
4,
4,
3,
4,
2,
4,
1,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
6,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
3,
2,
4,
3,
2,
4,
3,
6,
2,
3,
6,
3,
2,
6,
4,
3,
3,
3,
4,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
6,
2,
3,
2,
3,
4,
3,
1,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
4,
4,
3,
4,
2,
4,
4,
4,
4,
3,
2,
6,
3,
3,
2,
4,
4,
6,
4,
4,
2,
2,
3,
2,
2,
3,
3,
5,
3,
3,
4,
4,
2,
2,
3,
4,
4,
2,
3,
3,
2,
2,
2,
3,
3,
4,
4,
5,
1,
3,
4,
2,
6,
4,
4,
4,
5,
4,
2,
2,
1,
2,
2,
2,
2,
2,
2,
2,
2,
4,
5,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
7,
4,
3,
4,
7,
4,
7,
4,
4,
2,
5,
5,
5,
2,
3,
2,
2,
2,
4,
2,
2,
2,
4,
4,
2,
2,
3,
3,
2,
4,
2,
2,
3,
3,
7,
7,
2,
2,
2,
2,
2,
2,
2,
4,
2,
5,
3,
3,
3,
4,
7,
2,
2,
3,
3,
2,
3,
3,
2,
3,
4,
2,
2,
3,
3,
4,
4,
6,
2,
2,
2,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
3,
2,
2,
1,
4,
2,
4,
4,
3,
2,
3,
5,
2,
3,
3,
3,
3,
2,
3,
3,
2,
1,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
3,
3,
4,
2,
2,
2,
4,
4,
4,
2,
2,
2,
4,
4,
3,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
4,
4,
4,
4,
2,
4,
4,
3,
2,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
2,
4,
2,
5,
7,
3,
4,
6,
3,
4,
6,
2,
2,
4,
5,
2,
2,
2,
4,
4,
4,
4,
5,
4,
3,
3,
4,
2,
2,
3,
2,
4,
1,
2,
2,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
3,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
6,
3,
4,
2,
2,
2,
3,
2,
1,
4,
1,
2,
3,
3,
4,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
4,
3,
3,
3,
4,
2,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
1,
2,
2,
2,
4,
5,
9,
5,
3,
2,
2,
2,
2,
4,
2,
4,
3,
3,
4,
3,
4,
2,
4,
7,
2,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
3,
2,
3,
2,
2,
2,
3,
3,
2,
3,
2,
4,
3,
2,
2,
1,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
3,
3,
4,
6,
4,
3,
2,
6,
6,
2,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
1,
4,
1,
2,
3,
4,
3,
1,
2,
2,
2,
3,
2,
2,
5,
3,
2,
3,
3,
3,
2,
3,
2,
5,
3,
3,
3,
4,
4,
6,
2,
2,
8,
4,
4,
4,
3,
3,
4,
3,
2,
3,
4,
1,
1,
4,
6,
6,
2,
2,
6,
4,
1,
4,
5,
5,
3,
2,
2,
2,
2,
2,
4,
4,
2,
2,
6,
6,
2,
3,
2,
5,
3,
5,
1,
5,
4,
2,
3,
3,
3,
1,
4,
3,
3,
3,
3,
4,
2,
3,
5,
2,
2,
4,
4,
3,
3,
2,
2,
3,
3,
2,
4,
4,
4,
3,
4,
4,
2,
2,
3,
4,
2,
4,
2,
2,
4,
2,
2,
3,
4,
3,
4,
3,
3,
3,
4,
2,
2,
3,
4,
3,
5,
3,
2,
3,
3,
5,
4,
3,
2,
4,
2,
2,
2,
3,
5,
5,
2,
4,
2,
3,
4,
5,
2,
2,
2,
2,
2,
3,
3,
4,
3,
2,
2,
2,
4,
5,
5,
5,
5,
3,
6,
2,
5,
4,
2,
4,
4,
4,
4,
4,
3,
4,
3,
2,
3,
5,
3,
3,
5,
2,
2,
2,
4,
2,
2,
4,
2,
4,
4,
4,
4,
7,
3,
4,
3,
3,
3,
3,
2,
5,
5,
4,
2,
2,
3,
1,
2,
2,
5,
4,
3,
2,
3,
2,
3,
3,
4,
4,
6,
3,
2,
2,
2,
2,
4,
5,
3,
4,
4,
4,
2,
2,
1,
2,
4,
4,
4,
4,
2,
2,
2,
3,
2,
2,
2,
8,
2,
2,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
2,
3,
4,
5,
5,
5,
3,
4,
4,
4,
4,
3,
2,
2,
5,
2,
2,
4,
6,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
7,
3,
3,
3,
4,
3,
2,
3,
2,
3,
3,
3,
2,
4,
3,
2,
2,
1,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
4,
3,
3,
2,
2,
1,
1,
3,
4,
3,
2,
3,
2,
3,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
4,
2,
4,
4,
3,
4,
4,
3,
2,
4,
2,
8,
4,
4,
4,
4,
3,
3,
2,
3,
4,
2,
2,
4,
5,
5,
4,
4,
3,
4,
4,
4,
3,
2,
4,
5,
3,
3,
3,
4,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
2,
2,
3,
3,
6,
3,
10,
5,
6,
4,
8,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
5,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
1,
3,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
3,
2,
2,
4,
6,
4,
4,
4,
4,
3,
9,
4,
3,
3,
3,
3,
6,
3,
4,
4,
4,
3,
4,
4,
3,
2,
2,
2,
3,
3,
2,
2,
4,
5,
2,
4,
3,
3,
2,
3,
4,
3,
3,
3,
3,
8,
5,
4,
4,
4,
4,
2,
2,
2,
3,
3,
4,
4,
4,
2,
3,
2,
2,
2,
2,
4,
3,
4,
2,
2,
3,
3,
2,
4,
2,
2,
4,
2,
4,
4,
3,
3,
2,
3,
5,
4,
3,
2,
4,
4,
2,
4,
4,
4,
2,
2,
2,
4,
2,
4,
4,
3,
3,
3,
2,
4,
4,
4,
3,
5,
2,
4,
4,
2,
4,
4,
4,
2,
3,
3,
2,
6,
3,
4,
5,
5,
5,
5,
4,
4,
3,
3,
3,
3,
3,
1,
2,
2,
4,
3,
3,
2,
2,
3,
4,
2,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
5,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
5,
3,
2,
2,
4,
2,
4,
5,
2,
2,
2,
4,
2,
4,
4,
5,
4,
2,
2,
2,
1,
4,
4,
4,
4,
4,
5,
3,
4,
4,
4,
4,
4,
4,
5,
5,
7,
4,
5,
3,
5,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
3,
2,
3,
4,
1,
4,
3,
4,
5,
2,
5,
4,
3,
6,
3,
4,
3,
6,
2,
3,
4,
5,
2,
3,
4,
4,
3,
4,
3,
5,
2,
4,
4,
2,
3,
2,
4,
4,
2,
4,
3,
2,
2,
4,
3,
2,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
7,
5,
4,
6,
2,
2,
4,
2,
2,
2,
2,
4,
4,
3,
2,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
4,
3,
2,
2,
4,
4,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
3,
5,
5,
4,
4,
2,
2,
3,
5,
6,
3,
3,
4,
5,
3,
5,
4,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
4,
3,
4,
6,
4,
3,
5,
4,
5,
2,
4,
4,
3,
3,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
2,
2,
3,
2,
2,
2,
2,
3,
2,
4,
4,
5,
4,
4,
4,
4,
2,
2,
2,
5,
4,
4,
4,
4,
4,
3,
3,
2,
3,
2,
3,
4,
3,
3,
3,
2,
4,
4,
2,
4,
4,
3,
3,
4,
3,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
3,
5,
3,
2,
3,
2,
3,
5,
3,
2,
5,
4,
3,
2,
2,
5,
2,
5,
3,
6,
5,
2,
4,
4,
4,
2,
4,
2,
3,
4,
5,
3,
2,
2,
4,
3,
4,
4,
3,
4,
6,
4,
4,
2,
3,
2,
2,
3,
4,
3,
4,
3,
6,
4,
4,
4,
4,
4,
2,
2,
3,
3,
2,
2,
3,
2,
5,
5,
6,
4,
4,
2,
2,
1,
4,
4,
4,
4,
2,
4,
5,
3,
3,
2,
2,
1,
3,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
3,
2,
4,
2,
4,
4,
4,
4,
2,
4,
4,
4,
3,
4,
4,
3,
3,
3,
2,
4,
2,
2,
1,
4,
4,
2,
2,
2,
4,
4,
4,
7,
4,
9,
7,
4,
4,
3,
3,
2,
2,
2,
3,
3,
6,
3,
5,
5,
4,
3,
2,
4,
4,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
3,
5,
2,
2,
3,
2,
3,
6,
5,
4,
5,
2,
6,
3,
2,
2,
2,
3,
3,
5,
3,
3,
4,
4,
3,
2,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
2,
2,
3,
2,
5,
2,
3,
3,
2,
4,
4,
3,
3,
3,
3,
3,
6,
2,
4,
3,
1,
2,
7,
2,
2,
3,
5,
2,
2,
2,
2,
2,
2,
4,
2,
1,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
3,
3,
2,
5,
5,
4,
4,
2,
4,
4,
4,
4,
4,
5,
3,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
1,
4,
2,
2,
2,
4,
4,
4,
2,
4,
3,
2,
2,
3,
2,
6,
2,
2,
3,
3,
2,
2,
3,
2,
2,
2,
4,
2,
2,
4,
2,
4,
4,
4,
3,
3,
4,
4,
2,
4,
2,
4,
3,
4,
4,
3,
4,
4,
4,
2,
4,
5,
2,
3,
2,
2,
4,
1,
1,
1,
2,
4,
2,
4,
2,
4,
2,
3,
4,
3,
3,
5,
4,
4,
3,
3,
3,
3,
3,
2,
3,
3,
5,
2,
2,
2,
2,
3,
3,
2,
4,
3,
2,
2,
2,
3,
5,
3,
4,
4,
4,
4,
2,
2,
2,
4,
2,
3,
2,
3,
5,
4,
2,
2,
4,
2,
4,
4,
4,
3,
2,
2,
2,
2,
3,
3,
4,
4,
4,
5,
4,
4,
2,
6,
3,
3,
3,
4,
3,
4,
4,
2,
3,
3,
2,
2,
3,
4,
3,
1,
4,
4,
4,
3,
4,
4,
6,
2,
4,
4,
3,
3,
3,
3,
1,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
1,
2,
2,
5,
2,
2,
2,
2,
3,
4,
3,
3,
6,
3,
2,
3,
3,
3,
3,
3,
6,
4,
4,
4,
3,
4,
4,
2,
2,
4,
3,
4,
3,
4,
4,
4,
3,
4,
4,
4,
2,
1,
3,
3,
2,
1,
4,
3,
2,
3,
3,
3,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
5,
4,
4,
2,
3,
2,
3,
3,
4,
2,
2,
4,
2,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
5,
4,
2,
2,
2,
2,
3,
4,
4,
4,
6,
2,
4,
4,
5,
2,
7,
4,
4,
4,
5,
2,
3,
2,
2,
5,
5,
2,
3,
4,
2,
2,
3,
4,
2,
5,
4,
4,
4,
2,
3,
3,
7,
5,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
3,
4,
4,
4,
2,
2,
4,
4,
4,
2,
3,
3,
2,
3,
2,
4,
4,
4,
4,
3,
4,
4,
4,
5,
4,
4,
1,
4,
3,
3,
4,
1,
4,
4,
4,
6,
3,
3,
4,
3,
3,
4,
3,
4,
3,
3,
3,
1,
2,
2,
8,
4,
3,
2,
2,
2,
2,
3,
2,
5,
3,
3,
2,
4,
4,
2,
3,
2,
3,
6,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
3,
4,
4,
3,
5,
4,
4,
4,
2,
4,
2,
2,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
2,
3,
4,
5,
5,
4,
3,
2,
4,
2,
4,
2,
2,
3,
4,
2,
2,
4,
2,
2,
2,
2,
4,
2,
3,
2,
2,
4,
4,
3,
4,
4,
4,
2,
3,
2,
3,
3,
3,
2,
2,
4,
2,
3,
2,
4,
4,
4,
4,
2,
3,
5,
3,
3,
5,
6,
3,
4,
3,
3,
3,
4,
4,
4,
4,
4,
3,
6,
7,
2,
4,
4,
4,
4,
4,
4,
2,
4,
5,
4,
4,
3,
2,
2,
2,
3,
2,
3,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
3,
4,
4,
3,
2,
4,
3,
3,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
4,
4,
5,
3,
4,
2,
4,
2,
2,
4,
4,
4,
4,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
4,
4,
3,
4,
2,
4,
2,
2,
1,
2,
3,
3,
4,
2,
4,
6,
4,
4,
4,
3,
3,
3,
3,
4,
4,
3,
5,
5,
4,
5,
4,
2,
4,
4,
4,
4,
4,
2,
3,
3,
2,
4,
3,
2,
4,
6,
4,
4,
3,
3,
2,
4,
4,
5,
3,
2,
4,
4,
2,
2,
2,
4,
2,
2,
4,
3,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
5,
3,
3,
2,
4,
2,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
1,
1,
2,
3,
3,
2,
4,
3,
6,
4,
4,
3,
3,
2,
2,
2,
4,
2,
4,
2,
1,
2,
6,
3,
2,
2,
1,
1,
3,
1,
1,
1,
3,
2,
2,
5,
4,
5,
2,
3,
3,
4,
4,
4,
4,
2,
1,
4,
4,
2,
4,
2,
4,
2,
4,
2,
1,
4,
2,
2,
2,
3,
3,
3,
6,
4,
2,
3,
3,
3,
1,
4,
2,
2,
2,
3,
3,
3,
3,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
2,
3,
3,
2,
2,
4,
4,
4,
2,
3,
4,
4,
4,
2,
2,
4,
5,
3,
4,
2,
4,
5,
5,
4,
4,
4,
4,
4,
2,
2,
4,
4,
2,
4,
4,
4,
4,
3,
3,
3,
3,
2,
4,
4,
2,
4,
3,
3,
3,
2,
5,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
4,
6,
1,
4,
4,
4,
6,
4,
4,
4,
4,
2,
6,
6,
4,
4,
4,
2,
4,
4,
4,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
5,
3,
3,
3,
4,
3,
3,
4,
4,
3,
8,
2,
3,
4,
4,
4,
3,
2,
4,
2,
2,
2,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
3,
3,
4,
3,
2,
3,
2,
1,
2,
3,
2,
2,
2,
3,
3,
2,
4,
3,
3,
4,
2,
5,
3,
4,
4,
4,
4,
2,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
4,
2,
4,
4,
3,
2,
5,
3,
3,
3,
3,
3,
2,
3,
2,
3,
2,
3,
3,
3,
4,
5,
3,
4,
4,
4,
2,
4,
4,
2,
4,
2,
3,
3,
8,
3,
2,
1,
1,
1,
2,
3,
2,
1,
5,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
3,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
6,
2,
2,
3,
2,
3,
3,
2,
3,
4,
3,
3,
4,
3,
4,
4,
3,
5,
4,
4,
5,
3,
2,
3,
5,
6,
1,
2,
3,
3,
3,
3,
5,
5,
9,
4,
8,
6,
7,
5,
7,
2,
2,
1,
2,
2,
2,
2,
4,
2,
3,
2,
4,
3,
3,
3,
3,
3,
4,
2,
4,
2,
4,
2,
2,
7,
3,
4,
2,
3,
2,
4,
7,
3,
3,
1,
2,
2,
2,
4,
2,
2,
2,
5,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
4,
4,
1,
3,
2,
3,
4,
2,
2,
2,
2,
4,
2,
4,
3,
4,
4,
2,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
6,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
5,
3,
4,
5,
2,
4,
5,
3,
2,
2,
3,
1,
1,
4,
4,
4,
2,
3,
2,
3,
3,
3,
2,
3,
2,
4,
3,
2,
5,
3,
4,
2,
4,
2,
2,
2,
2,
2,
3,
2,
3,
5,
5,
3,
3,
3,
3,
4,
2,
2,
3,
4,
2,
2,
3,
3,
4,
4,
4,
2,
2,
2,
2,
4,
3,
2,
2,
2,
3,
2,
3,
2,
2,
3,
9,
5,
5,
2,
5,
5,
4,
2,
5,
3,
3,
3,
4,
3,
3,
2,
3,
4,
2,
4,
4,
2,
2,
4,
4,
2,
3,
3,
3,
2,
4,
4,
4,
5,
5,
4,
4,
4,
4,
5,
5,
4,
2,
2,
2,
2,
3,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
4,
2,
3,
4,
5,
3,
4,
3,
5,
3,
7,
3,
3,
2,
3,
2,
2,
4,
3,
8,
7,
2,
2,
4,
2,
2,
3,
2,
4,
2,
4,
3,
4,
4,
4,
4,
4,
3,
4,
3,
3,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
4,
3,
4,
2,
2,
3,
2,
3,
5,
4,
2,
3,
2,
2,
2,
2,
3,
2,
2,
1,
2,
2,
2,
2,
7,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
1,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
4,
2,
2,
4,
4,
4,
4,
2,
2,
3,
2,
2,
2,
3,
2,
4,
4,
3,
2,
3,
3,
3,
4,
5,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
4,
3,
2,
4,
3,
4,
3,
4,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
2,
4,
5,
2,
2,
2,
4,
3,
3,
3,
3,
4,
2,
2,
7,
2,
2,
6,
5,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
5,
2,
2,
5,
2,
2,
2,
5,
3,
5,
2,
2,
2,
2,
2,
2,
1,
1,
2,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
3,
4,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
2,
1,
1,
2,
5,
5,
2,
4,
4,
4,
2,
3,
5,
3,
3,
5,
4,
4,
2,
2,
3,
2,
2,
3,
4,
4,
4,
2,
2,
2,
5,
2,
3,
2,
5,
4,
5,
4,
4,
2,
4,
4,
4,
2,
3,
2,
2,
1,
2,
2,
4,
2,
2,
4,
5,
4,
7,
3,
3,
2,
2,
2,
6,
2,
4,
2,
2,
4,
2,
4,
3,
3,
2,
2,
2,
2,
4,
3,
3,
4,
3,
3,
4,
3,
3,
4,
3,
4,
3,
7,
2,
2,
3,
3,
4,
3,
4,
2,
4,
2,
3,
3,
2,
2,
4,
4,
2,
2,
4,
5,
2,
5,
3,
4,
4,
5,
4,
3,
4,
4,
4,
4,
5,
2,
4,
4,
4,
4,
4,
2,
6,
2,
2,
2,
3,
3,
2,
3,
4,
5,
2,
2,
2,
3,
2,
3,
4,
3,
3,
2,
2,
2,
2,
3,
2,
2,
3,
3,
2,
2,
5,
2,
4,
3,
2,
3,
3,
3,
4,
4,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
1,
4,
2,
2,
2,
3,
3,
2,
2,
2,
3,
2,
3,
8,
2,
2,
2,
2,
2,
2,
3,
4,
3,
4,
2,
2,
2,
4,
4,
2,
3,
2,
3,
2,
2,
2,
3,
2,
4,
7,
5,
4,
2,
3,
2,
7,
2,
4,
4,
2,
4,
5,
4,
2,
5,
3,
2,
4,
4,
4,
3,
2,
3,
3,
2,
2,
2,
2,
1,
3,
4,
2,
2,
2,
3,
3,
3,
3,
4,
2,
3,
2,
2,
3,
3,
2,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
2,
6,
3,
4,
4,
4,
4,
4,
6,
2,
2,
2,
2,
2,
2,
3,
1,
2,
4,
4,
4,
2,
4,
4,
2,
2,
4,
3,
3,
2,
3,
2,
2,
2,
4,
4,
3,
3,
2,
2,
3,
2,
3,
2,
2,
3,
2,
7,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
6,
2,
2,
2,
4,
4,
2,
5,
2,
4,
3,
2,
1,
3,
4,
4,
4,
2,
3,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
6,
4,
4,
4,
2,
2,
2,
2,
3,
3,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
4,
6,
2,
2,
2,
3,
3,
6,
3,
2,
2,
2,
2,
4,
3,
2,
3,
3,
3,
2,
3,
4,
6,
2,
2,
3,
3,
3,
3,
2,
4,
2,
2,
4,
1,
2,
2,
2,
2,
2,
2,
2,
2,
6,
3,
5,
3,
5,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
3,
3,
5,
3,
3,
3,
4,
3,
2,
5,
2,
4,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
3,
3,
3,
4,
4,
3,
4,
4,
6,
3,
4,
3,
3,
4,
4,
2,
4,
3,
3,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
4,
3,
4,
2,
3,
5,
2,
4,
4,
4,
5,
3,
4,
3,
3,
6,
3,
3,
2,
3,
6,
3,
3,
3,
3,
3,
4,
3,
4,
5,
2,
2,
2,
3,
4,
4,
8,
4,
3,
4,
3,
4,
5,
4,
1,
3,
4,
3,
3,
3,
3,
2,
3,
3,
2,
3,
6,
3,
4,
2,
3,
4,
4,
4,
2,
2,
4,
2,
3,
3,
2,
4,
2,
3,
2,
2,
2,
4,
2,
2,
3,
3,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
3,
3,
3,
3,
2,
4,
2,
3,
1,
1,
1,
1,
1,
2,
3,
4,
7,
3,
2,
2,
2,
2,
2,
4,
4,
5,
2,
4,
5,
5,
4,
4,
4,
4,
4,
6,
4,
3,
2,
4,
4,
4,
1,
5,
2,
4,
5,
3,
10,
3,
2,
2,
2,
3,
3,
4,
4,
3,
3,
3,
2,
2,
4,
3,
3,
7,
3,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
3,
5,
5,
4,
3,
4,
3,
3,
3,
2,
3,
3,
5,
3,
3,
3,
4,
3,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
7,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
5,
2,
3,
3,
3,
3,
3,
5,
8,
2,
2,
2,
2,
2,
2,
2,
2,
2,
6,
5,
2,
4,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
5,
5,
2,
4,
4,
4,
5,
4,
6,
2,
2,
2,
4,
2,
2,
4,
4,
4,
5,
3,
7,
3,
3,
5,
3,
4,
4,
3,
3,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
2,
2,
2,
4,
3,
4,
4,
5,
6,
3,
4,
4,
2,
2,
2,
2,
2,
2,
3,
4,
4,
5,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
3,
2,
3,
5,
5,
5,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
4,
6,
4,
2,
3,
4,
3,
4,
2,
2,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
6,
3,
4,
3,
3,
3,
2,
3,
4,
2,
3,
5,
5,
5,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
2,
3,
3,
5,
3,
2,
2,
4,
5,
5,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
6,
2,
1,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
2,
2,
3,
4,
6,
2,
5,
2,
4,
2,
5,
6,
6,
5,
5,
4,
2,
5,
3,
3,
2,
3,
3,
4,
7,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
4,
3,
2,
3,
7,
3,
3,
4,
3,
2,
2,
3,
2,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
5,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
4,
2,
4,
2,
5,
4,
2,
3,
3,
8,
4,
4,
2,
4,
2,
2,
2,
2,
2,
1,
2,
4,
2,
2,
2,
2,
2,
3,
2,
2,
5,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
4,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
3,
2,
2,
4,
2,
2,
4,
4,
3,
3,
8,
4,
3,
3,
4,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
5,
4,
4,
4,
2,
2,
2,
2,
3,
4,
4,
4,
3,
7,
4,
3,
5,
4,
6,
3,
2,
4,
2,
2,
2,
2,
2,
2,
5,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
3,
4,
2,
4,
2,
4,
5,
3,
5,
5,
3,
5,
3,
5,
2,
4,
4,
3,
4,
3,
4,
2,
2,
4,
4,
3,
5,
4,
4,
4,
4,
3,
4,
4,
3,
4,
3,
4,
1,
2,
2,
5,
5,
2,
2,
3,
2,
4,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
4,
3,
6,
4,
4,
4,
4,
2,
5,
2,
3,
3,
6,
3,
2,
2,
2,
2,
3,
3,
3,
5,
4,
2,
3,
2,
3,
2,
4,
3,
2,
2,
2,
4,
3,
2,
3,
1,
3,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
5,
3,
5,
5,
5,
2,
5,
3,
2,
3,
1,
3,
3,
4,
6,
3,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
3,
3,
2,
3,
1,
4,
3,
2,
2,
2,
2,
3,
2,
3,
4,
2,
2,
2,
3,
3,
2,
4,
3,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
5,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
2,
2,
4,
4,
3,
2,
2,
2,
2,
4,
5,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
5,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
1,
3,
2,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
2,
2,
2,
2,
3,
3,
3,
5,
4,
2,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
1,
3,
3,
3,
3,
4,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
1,
1,
4,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
1,
2,
3,
5,
2,
2,
4,
5,
2,
2,
2,
2,
3,
3,
2,
3,
2,
1,
2,
4,
2,
2,
2,
2,
3,
3,
4,
2,
2,
3,
2,
2,
2,
1,
2,
2,
2,
3,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
4,
4,
3,
2,
3,
5,
2,
3,
6,
3,
3,
3,
2,
2,
4,
2,
3,
3,
4,
2,
2,
2,
4,
4,
2,
5,
3,
3,
5,
2,
2,
2,
4,
6,
4,
2,
7,
3,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
3,
2,
4,
4,
3,
4,
2,
3,
1,
7,
4,
4,
4,
5,
2,
2,
5,
5,
2,
2,
3,
2,
2,
2,
3,
3,
2,
2,
4,
3,
4,
6,
2,
3,
4,
3,
4,
3,
2,
3,
2,
3,
3,
4,
3,
3,
3,
4,
3,
2,
2,
2,
2,
4,
2,
4,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
5,
4,
2,
4,
2,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
3,
4,
2,
2,
2,
4,
4,
2,
4,
2,
2,
3,
2,
2,
4,
2,
2,
3,
2,
3,
3,
2,
4,
4,
4,
4,
4,
2,
3,
3,
4,
2,
5,
5,
5,
5,
4,
2,
4,
3,
3,
3,
4,
3,
3,
1,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
2,
3,
6,
3,
2,
4,
2,
2,
2,
3,
2,
3,
4,
2,
4,
2,
2,
3,
3,
3,
2,
2,
3,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
4,
2,
2,
3,
3,
2,
2,
2,
2,
4,
2,
4,
5,
4,
2,
3,
2,
2,
4,
2,
4,
2,
4,
4,
3,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
3,
2,
2,
3,
9,
3,
7,
4,
2,
2,
5,
2,
4,
4,
4,
3,
4,
4,
4,
3,
3,
3,
2,
2,
4,
4,
2,
4,
4,
4,
2,
2,
4,
2,
2,
3,
7,
3,
2,
2,
3,
5,
2,
2,
2,
2,
3,
3,
6,
6,
4,
5,
5,
5,
3,
2,
3,
4,
5,
3,
3,
4,
2,
3,
3,
6,
5,
5,
4,
2,
3,
2,
2,
4,
2,
2,
4,
5,
4,
5,
2,
3,
4,
4,
7,
4,
2,
2,
3,
4,
2,
5,
2,
3,
2,
2,
1,
3,
4,
2,
4,
4,
3,
2,
2,
2,
3,
3,
3,
4,
4,
3,
3,
4,
2,
3,
4,
8,
3,
4,
2,
3,
4,
4,
8,
2,
2,
3,
2,
4,
3,
4,
2,
3,
6,
4,
4,
6,
2,
5,
3,
2,
2,
3,
5,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
3,
4,
3,
2,
3,
2,
4,
4,
3,
3,
3,
2,
2,
5,
2,
3,
2,
3,
3,
4,
2,
2,
4,
2,
4,
4,
4,
2,
3,
3,
3,
2,
4,
2,
2,
4,
4,
2,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
3,
2,
2,
4,
2,
4,
5,
2,
3,
6,
6,
4,
4,
3,
5,
5,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
4,
2,
2,
4,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
6,
3,
3,
3,
4,
4,
2,
2,
2,
2,
4,
4,
2,
7,
2,
3,
5,
2,
3,
4,
4,
2,
3,
2,
2,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
1,
2,
2,
3,
4,
5,
3,
3,
3,
5,
3,
3,
5,
3,
3,
3,
3,
3,
3,
5,
6,
3,
2,
2,
3,
3,
3,
2,
2,
4,
4,
3,
5,
2,
4,
4,
6,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
5,
2,
3,
3,
5,
2,
3,
2,
2,
3,
2,
2,
2,
4,
8,
2,
4,
2,
2,
2,
3,
5,
2,
2,
4,
2,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
2,
4,
2,
2,
3,
3,
2,
3,
2,
2,
2,
3,
3,
2,
4,
2,
2,
2,
3,
3,
3,
2,
4,
2,
2,
3,
4,
4,
2,
4,
3,
6,
2,
2,
3,
3,
4,
4,
4,
3,
7,
3,
3,
2,
3,
2,
6,
4,
2,
2,
4,
3,
4,
4,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
5,
2,
2,
3,
4,
3,
2,
3,
2,
2,
2,
6,
5,
6,
7,
5,
4,
2,
4,
2,
3,
2,
2,
4,
3,
2,
2,
2,
2,
4,
3,
4,
2,
3,
2,
4,
5,
2,
2,
2,
2,
3,
2,
4,
2,
2,
3,
2,
2,
3,
3,
3,
2,
2,
4,
4,
4,
4,
4,
2,
2,
3,
4,
2,
4,
3,
2,
3,
2,
3,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
5,
4,
2,
2,
3,
3,
2,
2,
2,
3,
3,
3,
2,
3,
3,
3,
2,
2,
4,
3,
3,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
6,
5,
2,
4,
4,
4,
3,
3,
3,
3,
3,
4,
2,
4,
6,
2,
2,
4,
4,
7,
3,
3,
3,
2,
2,
2,
2,
1,
2,
2,
3,
3,
2,
4,
3,
5,
7,
3,
3,
4,
2,
5,
3,
2,
2,
3,
1,
1,
3,
1,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
3,
4,
2,
2,
2,
2,
2,
3,
3,
4,
4,
2,
5,
3,
3,
2,
2,
3,
2,
2,
2,
4,
4,
3,
3,
4,
2,
3,
3,
3,
3,
5,
4,
6,
5,
4,
4,
3,
1,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
4,
6,
5,
5,
5,
5,
2,
4,
4,
5,
4,
4,
2,
2,
2,
2,
4,
4,
2,
3,
3,
3,
3,
3,
3,
4,
3,
7,
6,
3,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
7,
4,
3,
3,
2,
3,
4,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
4,
4,
2,
4,
3,
6,
4,
3,
3,
4,
2,
3,
2,
3,
3,
3,
4,
4,
4,
3,
4,
3,
2,
4,
3,
4,
3,
4,
3,
4,
4,
2,
2,
4,
4,
3,
4,
4,
2,
2,
2,
2,
5,
5,
4,
2,
2,
3,
2,
2,
6,
3,
2,
4,
5,
6,
2,
2,
2,
2,
2,
2,
2,
2,
5,
5,
2,
3,
3,
4,
3,
2,
2,
3,
2,
4,
3,
3,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
3,
3,
5,
4,
4,
4,
4,
3,
4,
4,
3,
3,
2,
2,
2,
4,
2,
4,
4,
2,
3,
2,
2,
4,
4,
3,
2,
3,
3,
3,
2,
4,
2,
3,
3,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
5,
3,
3,
4,
3,
2,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
2,
2,
2,
5,
2,
2,
3,
4,
3,
3,
3,
3,
2,
2,
8,
3,
3,
3,
3,
5,
2,
3,
3,
8,
3,
3,
5,
3,
3,
4,
2,
2,
2,
3,
3,
3,
3,
4,
4,
2,
3,
4,
2,
2,
2,
2,
2,
2,
3,
4,
2,
3,
3,
2,
5,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
4,
2,
4,
2,
4,
3,
2,
2,
2,
2,
4,
3,
3,
2,
4,
4,
5,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
2,
1,
4,
3,
2,
3,
4,
4,
4,
4,
3,
4,
6,
6,
4,
2,
3,
2,
4,
3,
3,
4,
2,
2,
2,
2,
3,
3,
4,
4,
3,
3,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
1,
2,
2,
3,
2,
5,
7,
4,
4,
4,
2,
2,
2,
2,
2,
3,
4,
4,
2,
4,
4,
6,
6,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
2,
2,
4,
2,
4,
3,
4,
5,
4,
5,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
2,
6,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
3,
4,
4,
4,
1,
1,
5,
3,
2,
2,
3,
3,
3,
3,
4,
3,
3,
2,
2,
3,
2,
4,
2,
3,
2,
2,
2,
2,
2,
3,
2,
1,
2,
2,
2,
4,
3,
4,
4,
3,
3,
6,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
2,
3,
4,
4,
4,
4,
6,
3,
4,
3,
2,
3,
4,
6,
4,
3,
4,
2,
2,
2,
2,
3,
2,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
3,
3,
3,
2,
3,
2,
3,
2,
2,
3,
2,
3,
2,
3,
2,
2,
3,
3,
2,
3,
4,
4,
4,
5,
4,
4,
3,
4,
4,
4,
7,
4,
4,
4,
4,
3,
4,
4,
2,
2,
3,
3,
3,
3,
3,
6,
6,
5,
4,
2,
3,
3,
3,
2,
2,
3,
2,
2,
7,
2,
3,
3,
3,
3,
6,
4,
4,
3,
3,
8,
2,
2,
4,
5,
3,
4,
4,
6,
2,
2,
2,
4,
4,
5,
4,
3,
3,
3,
3,
4,
3,
3,
2,
2,
4,
2,
2,
5,
3,
2,
3,
4,
3,
3,
3,
2,
3,
3,
5,
3,
3,
2,
3,
3,
2,
2,
2,
3,
2,
3,
4,
4,
4,
2,
2,
2,
2,
8,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
5,
2,
2,
4,
2,
2,
4,
2,
4,
2,
3,
4,
2,
3,
5,
2,
7,
3,
4,
3,
1,
3,
3,
3,
3,
1,
3,
3,
2,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
1,
3,
4,
5,
3,
2,
4,
2,
2,
3,
3,
2,
3,
2,
3,
5,
2,
7,
3,
4,
5,
4,
5,
5,
3,
3,
2,
4,
4,
3,
2,
2,
3,
2,
4,
3,
3,
3,
2,
5,
2,
2,
2,
2,
6,
4,
8,
2,
6,
3,
2,
2,
5,
3,
3,
2,
2,
3,
4,
2,
4,
2,
3,
3,
2,
3,
3,
3,
3,
2,
3,
1,
4,
3,
4,
4,
3,
3,
4,
3,
4,
4,
3,
3,
4,
3,
3,
3,
2,
2,
4,
2,
2,
4,
4,
4,
4,
6,
3,
2,
2,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
5,
3,
2,
5,
3,
3,
5,
3,
3,
4,
3,
3,
4,
4,
4,
4,
2,
7,
4,
2,
4,
5,
4,
3,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
5,
2,
2,
2,
4,
3,
2,
2,
2,
2,
1,
3,
2,
3,
3,
2,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
3,
3,
2,
2,
3,
3,
4,
2,
4,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
4,
6,
4,
4,
2,
4,
4,
2,
4,
4,
4,
4,
6,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
4,
4,
4,
2,
2,
2,
1,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
3,
4,
1,
2,
4,
2,
2,
2,
3,
2,
5,
3,
3,
4,
3,
3,
3,
5,
3,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
2,
4,
2,
2,
3,
3,
3,
3,
3,
1,
3,
3,
3,
2,
2,
2,
2,
3,
4,
3,
2,
4,
2,
5,
2,
4,
4,
5,
5,
5,
5,
4,
4,
3,
5,
3,
2,
2,
2,
2,
3,
4,
2,
4,
4,
3,
3,
2,
5,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
1,
4,
4,
1,
2,
2,
5,
5,
3,
4,
5,
4,
4,
2,
2,
4,
2,
2,
3,
5,
3,
3,
4,
2,
2,
3,
3,
3,
4,
2,
4,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
6,
2,
3,
3,
6,
2,
2,
3,
4,
5,
3,
2,
4,
3,
2,
2,
4,
2,
2,
2,
5,
4,
4,
3,
3,
4,
2,
4,
4,
3,
3,
5,
4,
4,
2,
4,
3,
1,
3,
2,
3,
2,
3,
2,
2,
3,
6,
5,
6,
4,
2,
2,
2,
3,
4,
5,
3,
4,
3,
2,
3,
3,
3,
2,
4,
3,
2,
1,
2,
2,
4,
4,
1,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
4,
4,
4,
3,
5,
2,
3,
4,
3,
3,
3,
2,
3,
4,
4,
4,
4,
3,
2,
4,
2,
2,
2,
2,
2,
3,
4,
2,
4,
4,
4,
2,
4,
4,
4,
3,
4,
3,
5,
3,
3,
3,
3,
3,
2,
6,
3,
4,
2,
2,
4,
4,
4,
2,
3,
4,
2,
2,
4,
2,
2,
4,
1,
4,
7,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
4,
3,
3,
4,
4,
2,
2,
3,
3,
3,
3,
2,
2,
4,
3,
4,
4,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
3,
4,
2,
4,
2,
2,
2,
2,
4,
4,
2,
3,
3,
3,
5,
3,
2,
3,
2,
2,
2,
2,
4,
2,
3,
2,
3,
3,
3,
4,
6,
4,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
3,
4,
4,
4,
2,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
6,
2,
6,
5,
3,
4,
4,
3,
5,
3,
2,
2,
3,
3,
3,
2,
2,
2,
3,
4,
4,
2,
2,
2,
4,
4,
2,
4,
4,
3,
2,
2,
5,
4,
2,
4,
3,
3,
4,
4,
3,
2,
3,
5,
3,
3,
2,
4,
5,
2,
2,
3,
3,
2,
4,
2,
2,
4,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
3,
1,
4,
3,
4,
4,
4,
5,
2,
2,
4,
4,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
7,
2,
3,
3,
3,
3,
4,
3,
3,
3,
4,
3,
4,
4,
6,
6,
2,
2,
2,
3,
2,
3,
4,
4,
2,
3,
2,
2,
4,
2,
3,
5,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
3,
4,
3,
1,
6,
3,
4,
4,
2,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
3,
6,
8,
2,
3,
4,
3,
3,
5,
3,
2,
2,
4,
4,
3,
2,
2,
4,
3,
3,
2,
5,
2,
2,
2,
2,
4,
3,
3,
2,
7,
5,
2,
5,
2,
2,
1,
1,
1,
1,
1,
4,
4,
4,
3,
3,
2,
2,
2,
3,
3,
2,
2,
3,
2,
2,
1,
4,
4,
4,
7,
4,
4,
4,
5,
3,
4,
2,
2,
2,
6,
3,
3,
5,
2,
3,
2,
2,
2,
2,
3,
4,
3,
6,
7,
3,
4,
3,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
4,
2,
2,
4,
4,
5,
4,
3,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
3,
2,
4,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
3,
3,
2,
4,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
6,
3,
2,
5,
4,
2,
5,
3,
4,
2,
4,
4,
4,
2,
4,
7,
8,
3,
6,
3,
2,
5,
3,
2,
2,
4,
6,
6,
3,
3,
3,
3,
2,
2,
3,
5,
3,
4,
2,
2,
3,
3,
2,
3,
3,
2,
3,
3,
3,
2,
3,
2,
3,
1,
4,
2,
3,
2,
4,
3,
2,
4,
4,
2,
4,
4,
4,
4,
3,
3,
2,
6,
5,
4,
3,
2,
2,
7,
6,
2,
1,
2,
2,
2,
2,
2,
6,
6,
2,
6,
2,
2,
2,
3,
1,
4,
2,
3,
2,
2,
3,
2,
2,
2,
5,
2,
2,
4,
2,
4,
3,
2,
5,
6,
6,
2,
2,
5,
7,
3,
4,
4,
3,
3,
4,
3,
4,
3,
3,
5,
3,
2,
3,
2,
2,
3,
3,
3,
6,
3,
3,
3,
4,
2,
3,
2,
3,
3,
4,
2,
4,
4,
4,
4,
4,
3,
4,
2,
2,
3,
4,
3,
3,
4,
3,
4,
2,
4,
2,
4,
2,
4,
2,
2,
2,
4,
2,
2,
2,
2,
4,
2,
4,
3,
3,
3,
2,
3,
3,
2,
4,
3,
3,
3,
2,
2,
2,
1,
3,
2,
1,
1,
4,
2,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
3,
2,
4,
2,
4,
2,
5,
1,
2,
2,
3,
3,
4,
4,
4,
2,
2,
3,
2,
6,
1,
4,
4,
3,
4,
9,
4,
3,
3,
4,
3,
5,
1,
4,
4,
4,
4,
2,
2,
2,
5,
5,
2,
2,
2,
2,
2,
2,
4,
1,
3,
4,
2,
3,
2,
2,
4,
4,
2,
4,
2,
3,
6,
5,
7,
2,
2,
2,
2,
2,
2,
2,
3,
1,
3,
3,
1,
4,
2,
2,
2,
5,
2,
4,
2,
2,
4,
4,
2,
3,
2,
4,
3,
3,
3,
4,
3,
4,
4,
3,
2,
4,
2,
2,
2,
2,
2,
5,
3,
3,
3,
3,
3,
3,
3,
3,
6,
2,
3,
4,
5,
6,
3,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
4,
3,
2,
2,
2,
2,
6,
2,
2,
4,
4,
4,
4,
2,
2,
4,
4,
2,
3,
3,
6,
4,
2,
3,
2,
6,
4,
8,
4,
4,
4,
4,
4,
2,
2,
4,
4,
3,
4,
3,
3,
4,
6,
6,
4,
3,
3,
4,
4,
2,
3,
2,
2,
3,
3,
2,
4,
5,
2,
2,
2,
1,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
4,
4,
2,
2,
4,
4,
2,
3,
3,
3,
4,
4,
4,
4,
4,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
5,
2,
2,
2,
2,
9,
2,
4,
2,
3,
4,
2,
4,
4,
3,
2,
2,
2,
4,
2,
2,
2,
4,
3,
3,
6,
3,
3,
3,
3,
2,
5,
4,
2,
3,
2,
2,
3,
3,
3,
4,
4,
2,
2,
5,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
5,
2,
2,
2,
2,
3,
2,
2,
4,
4,
2,
2,
4,
4,
2,
3,
3,
3,
3,
3,
3,
6,
2,
2,
3,
3,
2,
3,
3,
2,
4,
3,
3,
3,
3,
4,
5,
5,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
4,
2,
3,
4,
2,
4,
2,
4,
4,
3,
3,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
2,
4,
4,
3,
4,
3,
2,
2,
3,
2,
2,
2,
4,
2,
4,
4,
4,
5,
6,
4,
5,
4,
3,
3,
2,
3,
3,
2,
2,
4,
4,
4,
4,
3,
2,
3,
2,
2,
1,
1,
2,
4,
2,
3,
3,
4,
3,
3,
3,
2,
2,
5,
3,
2,
2,
3,
2,
3,
3,
3,
3,
3,
5,
3,
3,
4,
4,
2,
6,
3,
4,
2,
2,
2,
4,
2,
4,
4,
2,
2,
4,
4,
3,
4,
3,
3,
2,
1,
2,
3,
2,
3,
4,
2,
2,
1,
2,
2,
2,
1,
2,
2,
2,
2,
2,
4,
2,
3,
4,
2,
2,
3,
2,
2,
3,
4,
2,
2,
6,
3,
5,
3,
4,
2,
5,
5,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
3,
3,
2,
2,
4,
2,
3,
2,
2,
4,
3,
2,
2,
2,
2,
2,
4,
6,
2,
4,
6,
2,
2,
2,
2,
2,
3,
4,
4,
2,
5,
2,
2,
2,
4,
3,
4,
5,
4,
2,
4,
5,
3,
8,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
3,
2,
2,
2,
4,
2,
2,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
2,
4,
5,
2,
6,
6,
4,
2,
2,
4,
4,
2,
2,
2,
2,
2,
1,
2,
4,
3,
2,
4,
4,
3,
3,
2,
2,
3,
2,
4,
4,
4,
4,
6,
3,
3,
3,
4,
5,
3,
3,
2,
2,
2,
2,
2,
2,
4,
6,
5,
2,
2,
3,
4,
2,
4,
5,
2,
6,
2,
2,
2,
2,
5,
2,
3,
3,
2,
4,
3,
2,
5,
3,
2,
2,
2,
4,
4,
4,
4,
3,
2,
4,
3,
3,
4,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
2,
4,
5,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
3,
3,
3,
5,
4,
2,
2,
2,
2,
3,
3,
4,
3,
4,
3,
4,
2,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
7,
3,
4,
3,
7,
4,
4,
4,
3,
3,
3,
4,
4,
2,
2,
2,
1,
1,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
2,
5,
3,
4,
3,
4,
4,
8,
3,
5,
3,
4,
3,
3,
2,
2,
2,
3,
3,
3,
2,
4,
4,
4,
5,
5,
4,
3,
4,
2,
4,
2,
2,
2,
4,
4,
3,
2,
2,
4,
2,
3,
3,
2,
1,
2,
3,
3,
4,
3,
4,
3,
4,
2,
3,
2,
2,
4,
4,
2,
2,
4,
7,
4,
2,
2,
3,
1,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
4,
3,
2,
2,
3,
3,
3,
3,
2,
4,
4,
3,
3,
2,
2,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
1,
3,
4,
2,
2,
2,
2,
2,
3,
5,
4,
2,
2,
3,
3,
2,
6,
2,
2,
2,
2,
3,
3,
3,
4,
2,
4,
1,
5,
3,
4,
4,
2,
4,
4,
6,
2,
4,
4,
4,
4,
3,
3,
2,
4,
1,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
2,
2,
4,
4,
3,
2,
4,
2,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
5,
2,
3,
3,
3,
4,
2,
2,
4,
2,
4,
2,
2,
2,
2,
4,
2,
3,
3,
2,
3,
2,
3,
1,
3,
2,
2,
2,
2,
3,
4,
2,
5,
3,
4,
2,
2,
3,
2,
2,
2,
4,
3,
4,
7,
4,
3,
4,
5,
4,
2,
3,
3,
4,
4,
3,
2,
3,
4,
4,
3,
3,
2,
2,
3,
3,
3,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
5,
2,
3,
5,
3,
3,
4,
5,
3,
2,
4,
3,
2,
3,
3,
3,
6,
2,
2,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
3,
4,
3,
2,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
1,
2,
4,
2,
1,
4,
4,
1,
1,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
1,
4,
3,
3,
2,
3,
4,
2,
4,
2,
5,
3,
4,
3,
3,
3,
2,
4,
2,
3,
3,
2,
5,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
3,
5,
2,
4,
3,
4,
6,
5,
6,
3,
3,
2,
4,
2,
2,
2,
5,
2,
2,
3,
3,
3,
3,
4,
3,
4,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
5,
2,
3,
3,
3,
3,
3,
5,
4,
2,
2,
3,
3,
5,
3,
2,
2,
2,
2,
1,
2,
3,
3,
2,
2,
2,
3,
2,
3,
2,
2,
3,
3,
2,
3,
2,
2,
2,
5,
6,
6,
8,
7,
3,
2,
2,
2,
3,
4,
5,
3,
3,
3,
3,
3,
3,
3,
4,
1,
3,
2,
4,
2,
3,
3,
4,
4,
2,
5,
5,
7,
3,
3,
3,
7,
3,
3,
3,
4,
5,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
3,
5,
2,
4,
4,
3,
4,
3,
2,
4,
3,
3,
5,
2,
2,
2,
4,
2,
2,
2,
4,
4,
3,
4,
4,
4,
2,
2,
1,
2,
2,
2,
2,
8,
2,
2,
2,
3,
2,
3,
2,
1,
2,
3,
3,
2,
4,
2,
3,
3,
2,
4,
2,
3,
3,
2,
2,
6,
6,
4,
3,
3,
4,
6,
2,
5,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
5,
4,
5,
4,
3,
3,
3,
6,
6,
3,
3,
3,
2,
2,
2,
2,
4,
4,
2,
2,
2,
4,
3,
3,
3,
3,
3,
4,
2,
2,
4,
2,
2,
2,
2,
3,
2,
2,
2,
5,
1,
4,
3,
3,
3,
4,
3,
3,
4,
3,
5,
3,
5,
2,
3,
4,
2,
4,
2,
2,
2,
2,
4,
2,
3,
3,
3,
2,
4,
3,
3,
6,
5,
4,
3,
2,
4,
7,
1,
2,
4,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
5,
3,
4,
3,
3,
3,
2,
3,
2,
3,
3,
6,
2,
2,
4,
4,
4,
2,
3,
3,
4,
2,
2,
5,
4,
5,
4,
2,
6,
3,
2,
2,
2,
2,
2,
2,
3,
5,
4,
4,
3,
2,
8,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
4,
4,
2,
2,
4,
3,
2,
3,
4,
5,
5,
4,
2,
2,
3,
3,
2,
3,
2,
2,
4,
3,
2,
2,
2,
2,
3,
2,
2,
4,
3,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
2,
4,
4,
4,
6,
4,
6,
4,
4,
5,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
4,
4,
4,
4,
3,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
5,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
4,
1,
2,
4,
4,
4,
2,
2,
3,
2,
2,
3,
2,
3,
4,
2,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
3,
3,
2,
3,
2,
4,
4,
4,
4,
4,
2,
5,
4,
4,
2,
2,
2,
2,
5,
4,
2,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
5,
4,
4,
7,
1,
4,
4,
4,
2,
4,
2,
3,
2,
4,
2,
2,
3,
3,
3,
3,
4,
2,
3,
1,
2,
2,
4,
2,
4,
3,
4,
7,
3,
4,
3,
3,
3,
2,
3,
2,
2,
2,
4,
2,
2,
2,
3,
2,
2,
3,
2,
5,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
5,
2,
5,
2,
4,
3,
3,
2,
3,
3,
4,
2,
3,
2,
2,
2,
2,
4,
2,
4,
3,
4,
4,
4,
6,
3,
3,
3,
1,
3,
4,
4,
4,
3,
3,
4,
5,
2,
2,
3,
3,
4,
5,
5,
5,
5,
4,
2,
3,
2,
5,
2,
2,
3,
4,
5,
4,
7,
6,
2,
3,
2,
3,
5,
4,
3,
3,
4,
3,
2,
2,
2,
7,
4,
2,
2,
4,
6,
3,
5,
2,
4,
2,
3,
3,
2,
2,
3,
4,
3,
6,
3,
2,
4,
7,
4,
4,
4,
4,
4,
9,
4,
2,
2,
4,
4,
3,
3,
3,
4,
3,
2,
4,
3,
2,
2,
2,
2,
3,
2,
2,
2,
3,
5,
2,
3,
6,
6,
4,
4,
3,
2,
2,
4,
3,
2,
3,
3,
4,
2,
4,
3,
3,
5,
3,
3,
2,
2,
1,
2,
4,
5,
2,
4,
2,
4,
3,
5,
2,
2,
4,
2,
2,
2,
4,
2,
4,
2,
3,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
5,
4,
2,
4,
3,
4,
3,
3,
3,
3,
3,
1,
3,
3,
3,
4,
5,
4,
4,
3,
1,
2,
3,
3,
3,
4,
2,
2,
2,
5,
2,
2,
3,
4,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
3,
3,
4,
2,
2,
3,
4,
3,
2,
3,
4,
3,
3,
6,
2,
6,
3,
3,
4,
3,
3,
1,
3,
2,
2,
2,
2,
3,
2,
3,
3,
2,
2,
3,
3,
3,
1,
4,
3,
3,
3,
2,
2,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
6,
2,
2,
3,
3,
5,
5,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
4,
6,
3,
4,
6,
4,
3,
4,
3,
3,
4,
3,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
2,
4,
2,
2,
2,
3,
4,
2,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
4,
3,
2,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
4,
3,
5,
4,
4,
4,
4,
4,
3,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
2,
2,
2,
5,
2,
4,
2,
3,
3,
3,
2,
2,
4,
4,
2,
2,
2,
2,
3,
2,
2,
5,
3,
2,
2,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
3,
2,
2,
2,
1,
2,
2,
2,
2,
3,
2,
3,
2,
3,
5,
1,
3,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
5,
3,
2,
3,
4,
2,
2,
2,
3,
2,
1,
2,
2,
2,
2,
4,
2,
2,
4,
3,
4,
2,
3,
6,
4,
3,
2,
2,
2,
4,
2,
6,
4,
2,
2,
2,
3,
3,
5,
3,
4,
4,
4,
4,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
5,
5,
2,
2,
3,
4,
4,
3,
3,
3,
3,
5,
3,
3,
3,
4,
3,
2,
2,
2,
2,
4,
3,
3,
4,
4,
7,
4,
7,
4,
7,
4,
2,
2,
4,
2,
3,
2,
2,
4,
5,
4,
7,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
1,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
3,
4,
3,
3,
3,
3,
2,
4,
4,
2,
2,
4,
2,
4,
4,
3,
4,
4,
4,
2,
2,
5,
4,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
5,
3,
4,
3,
4,
3,
3,
4,
4,
4,
3,
2,
4,
4,
6,
2,
4,
4,
4,
4,
3,
5,
3,
2,
3,
2,
2,
7,
3,
3,
3,
4,
4,
4,
2,
2,
2,
4,
2,
4,
4,
4,
4,
3,
4,
4,
4,
3,
2,
3,
2,
4,
4,
4,
3,
7,
4,
2,
2,
2,
1,
2,
2,
6,
4,
2,
2,
2,
3,
3,
3,
4,
4,
3,
3,
6,
4,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
2,
2,
3,
4,
4,
4,
2,
4,
2,
2,
4,
1,
3,
4,
4,
2,
2,
2,
2,
6,
2,
2,
4,
4,
5,
4,
6,
5,
3,
4,
4,
6,
3,
2,
4,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
3,
3,
4,
4,
4,
3,
4,
3,
4,
4,
4,
2,
2,
2,
2,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
3,
4,
2,
3,
3,
6,
3,
2,
4,
2,
2,
2,
3,
3,
3,
2,
2,
4,
3,
4,
4,
4,
4,
3,
4,
4,
5,
4,
2,
5,
4,
2,
4,
4,
4,
4,
4,
7,
3,
2,
4,
2,
3,
3,
3,
3,
3,
2,
4,
6,
4,
3,
3,
3,
3,
3,
2,
4,
5,
3,
3,
2,
2,
4,
6,
3,
4,
2,
2,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
4,
3,
4,
3,
4,
2,
3,
2,
4,
4,
4,
3,
6,
2,
2,
3,
2,
7,
4,
2,
2,
2,
4,
4,
4,
4,
2,
2,
4,
6,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
3,
4,
4,
2,
2,
4,
4,
3,
4,
4,
4,
2,
2,
4,
4,
3,
3,
3,
5,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
6,
4,
5,
6,
2,
2,
2,
4,
2,
4,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
5,
5,
4,
2,
2,
2,
2,
4,
2,
2,
4,
2,
2,
2,
5,
3,
4,
4,
3,
3,
5,
2,
4,
2,
3,
1,
1,
1,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
1,
4,
3,
4,
2,
4,
2,
2,
3,
2,
4,
2,
2,
4,
4,
4,
5,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
3,
2,
1,
2,
2,
3,
3,
3,
2,
6,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
1,
3,
4,
2,
2,
4,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
4,
4,
4,
1,
2,
2,
2,
2,
8,
2,
4,
3,
4,
1,
5,
3,
4,
4,
6,
4,
2,
2,
2,
2,
2,
6,
2,
4,
3,
6,
3,
4,
3,
3,
3,
2,
4,
2,
3,
3,
3,
3,
4,
2,
3,
2,
4,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
4,
3,
2,
5,
5,
4,
2,
4,
2,
4,
4,
2,
1,
2,
2,
2,
3,
3,
3,
4,
3,
2,
2,
6,
2,
2,
3,
3,
3,
3,
3,
4,
4,
7,
4,
2,
4,
6,
3,
2,
3,
4,
2,
3,
3,
3,
2,
4,
3,
3,
3,
2,
2,
2,
4,
4,
3,
3,
4,
4,
2,
4,
2,
2,
2,
3,
1,
3,
2,
2,
2,
2,
5,
5,
4,
3,
2,
2,
2,
2,
2,
2,
3,
2,
5,
6,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
4,
3,
4,
4,
4,
2,
5,
4,
4,
3,
2,
3,
2,
2,
1,
2,
2,
2,
1,
2,
2,
5,
2,
2,
2,
2,
2,
4,
4,
4,
4,
5,
5,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
5,
2,
2,
1,
3,
3,
2,
3,
4,
3,
3,
4,
2,
3,
5,
4,
2,
4,
4,
3,
2,
2,
6,
8,
4,
4,
2,
2,
2,
6,
4,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
3,
2,
4,
2,
2,
3,
4,
3,
3,
3,
2,
3,
2,
2,
3,
5,
2,
2,
4,
2,
4,
3,
4,
4,
2,
3,
4,
6,
4,
6,
3,
2,
4,
4,
4,
4,
2,
2,
2,
4,
2,
2,
4,
4,
2,
2,
3,
3,
4,
3,
4,
4,
2,
4,
4,
3,
3,
2,
4,
4,
4,
3,
4,
3,
3,
3,
4,
4,
3,
5,
6,
4,
4,
5,
4,
2,
3,
2,
2,
4,
2,
3,
3,
3,
3,
2,
3,
2,
4,
2,
4,
4,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
4,
4,
6,
4,
2,
4,
2,
2,
2,
1,
4,
4,
4,
4,
3,
3,
5,
5,
2,
2,
3,
2,
2,
2,
2,
4,
4,
2,
2,
4,
4,
4,
3,
2,
3,
2,
3,
3,
8,
2,
2,
2,
2,
2,
3,
4,
3,
3,
2,
1,
6,
4,
4,
4,
4,
3,
7,
4,
2,
2,
2,
4,
2,
2,
3,
2,
2,
2,
4,
2,
2,
6,
2,
2,
2,
2,
4,
2,
5,
5,
2,
2,
2,
2,
4,
3,
4,
3,
2,
2,
5,
4,
3,
3,
4,
2,
3,
4,
2,
2,
6,
2,
2,
2,
3,
2,
2,
2,
3,
6,
2,
2,
2,
2,
2,
5,
5,
3,
3,
2,
7,
6,
3,
4,
3,
2,
4,
3,
2,
6,
4,
2,
3,
4,
2,
2,
3,
2,
2,
5,
4,
2,
2,
2,
2,
3,
3,
2,
2,
6,
4,
5,
2,
4,
4,
4,
3,
3,
4,
4,
4,
5,
2,
5,
4,
2,
2,
2,
3,
4,
2,
4,
2,
2,
2,
4,
4,
3,
2,
3,
2,
4,
4,
2,
4,
4,
2,
2,
4,
4,
3,
4,
2,
4,
1,
8,
2,
2,
8,
9,
3,
2,
3,
2,
3,
3,
3,
4,
7,
3,
3,
6,
5,
3,
3,
3,
3,
2,
4,
3,
4,
2,
4,
4,
2,
2,
4,
2,
2,
2,
3,
3,
2,
3,
3,
4,
3,
4,
3,
2,
4,
2,
4,
2,
2,
2,
5,
2,
2,
2,
2,
7,
6,
5,
2,
2,
4,
2,
2,
2,
2,
2,
3,
3,
2,
5,
5,
4,
4,
3,
3,
3,
4,
4,
4,
4,
2,
2,
4,
3,
2,
4,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
2,
2,
3,
3,
3,
2,
3,
4,
2,
4,
3,
5,
2,
1,
4,
3,
2,
2,
3,
3,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
5,
6,
2,
2,
2,
6,
4,
2,
3,
4,
2,
4,
4,
5,
5,
4,
4,
3,
2,
4,
3,
4,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
5,
2,
3,
2,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
2,
3,
2,
3,
2,
4,
4,
2,
5,
6,
6,
5,
4,
2,
3,
3,
2,
2,
2,
2,
2,
4,
2,
4,
2,
4,
2,
2,
4,
3,
3,
3,
3,
2,
3,
2,
2,
1,
3,
3,
3,
3,
4,
2,
3,
2,
2,
4,
2,
4,
2,
3,
4,
4,
4,
2,
2,
3,
3,
4,
2,
3,
2,
5,
2,
1,
2,
2,
2,
2,
4,
3,
3,
4,
2,
2,
2,
8,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
3,
4,
2,
2,
2,
2,
3,
2,
5,
4,
3,
3,
4,
2,
2,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
3,
2,
4,
5,
4,
4,
2,
2,
4,
2,
2,
3,
2,
2,
2,
5,
1,
3,
3,
4,
2,
2,
3,
3,
2,
4,
2,
4,
3,
2,
3,
3,
3,
7,
2,
2,
4,
3,
2,
2,
2,
3,
2,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
1,
3,
3,
2,
2,
3,
2,
5,
5,
3,
3,
2,
2,
4,
3,
4,
2,
1,
2,
3,
4,
5,
2,
5,
3,
4,
3,
4,
4,
6,
2,
2,
4,
4,
2,
2,
4,
4,
2,
4,
2,
6,
3,
3,
3,
3,
4,
6,
2,
2,
2,
4,
2,
2,
4,
2,
4,
7,
6,
5,
3,
4,
4,
2,
4,
2,
2,
2,
4,
2,
3,
2,
3,
4,
3,
4,
4,
3,
2,
3,
2,
3,
3,
4,
4,
5,
6,
3,
4,
3,
5,
4,
2,
2,
2,
2,
2,
2,
5,
4,
6,
5,
4,
5,
5,
2,
2,
2,
3,
4,
2,
6,
4,
4,
3,
3,
3,
3,
2,
3,
5,
2,
5,
4,
2,
1,
3,
5,
5,
5,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
2,
4,
3,
4,
3,
4,
3,
3,
3,
3,
3,
5,
2,
4,
4,
4,
4,
2,
4,
5,
5,
2,
3,
4,
5,
5,
4,
4,
4,
2,
3,
4,
4,
4,
3,
2,
2,
4,
3,
3,
5,
2,
2,
3,
3,
3,
4,
6,
6,
3,
5,
4,
4,
4,
2,
4,
4,
4,
2,
3,
2,
3,
5,
2,
2,
2,
2,
3,
3,
4,
3,
4,
3,
4,
2,
2,
2,
3,
3,
3,
5,
4,
4,
8,
7,
2,
4,
4,
5,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
2,
3,
3,
3,
2,
3,
3,
3,
3,
4,
2,
2,
3,
4,
2,
3,
3,
4,
5,
2,
5,
2,
3,
4,
4,
3,
4,
4,
5,
5,
3,
3,
5,
3,
2,
7,
5,
4,
3,
2,
2,
3,
2,
2,
5,
2,
4,
2,
4,
3,
5,
3,
4,
2,
6,
2,
6,
7,
3,
3,
3,
3,
2,
3,
4,
1,
2,
3,
4,
4,
4,
4,
4,
3,
4,
3,
3,
5,
1,
2,
8,
3,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
2,
4,
4,
6,
3,
5,
4,
6,
2,
2,
4,
3,
4,
4,
4,
4,
4,
2,
1,
3,
3,
6,
4,
5,
4,
2,
2,
2,
3,
5,
3,
3,
7,
2,
3,
3,
3,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
5,
3,
6,
4,
3,
3,
4,
4,
2,
3,
3,
2,
3,
2,
3,
3,
2,
3,
4,
3,
3,
2,
2,
4,
3,
4,
4,
4,
2,
2,
4,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
4,
1,
1,
4,
4,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
3,
2,
3,
4,
6,
4,
6,
4,
4,
4,
2,
2,
4,
4,
7,
3,
3,
3,
5,
2,
2,
3,
2,
3,
3,
3,
4,
3,
3,
4,
2,
2,
2,
3,
2,
3,
2,
3,
2,
4,
4,
3,
4,
4,
4,
4,
4,
2,
4,
2,
3,
2,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
3,
2,
5,
5,
2,
6,
7,
4,
4,
4,
4,
2,
2,
3,
2,
4,
3,
3,
4,
4,
4,
6,
6,
4,
4,
2,
4,
4,
4,
2,
3,
3,
6,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
2,
2,
4,
2,
3,
3,
7,
4,
3,
3,
2,
2,
2,
2,
3,
2,
2,
3,
1,
2,
1,
3,
2,
3,
2,
2,
4,
4,
4,
5,
2,
3,
3,
3,
3,
5,
3,
3,
2,
4,
2,
2,
2,
2,
2,
3,
6,
2,
4,
2,
2,
2,
3,
4,
4,
4,
3,
3,
3,
3,
2,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
3,
3,
3,
4,
6,
4,
3,
4,
4,
3,
2,
2,
2,
3,
3,
4,
3,
2,
2,
3,
3,
3,
3,
4,
2,
3,
6,
4,
4,
3,
6,
2,
2,
1,
2,
3,
3,
5,
4,
4,
2,
2,
2,
2,
5,
4,
4,
4,
4,
5,
2,
3,
4,
4,
4,
4,
4,
3,
4,
4,
2,
6,
3,
3,
5,
5,
2,
4,
4,
2,
5,
4,
2,
4,
8,
2,
2,
4,
4,
4,
4,
5,
3,
3,
3,
3,
3,
5,
6,
3,
2,
4,
4,
4,
5,
1,
2,
2,
3,
4,
3,
4,
4,
6,
2,
2,
2,
2,
4,
2,
6,
4,
4,
4,
5,
4,
6,
6,
6,
4,
4,
2,
2,
1,
2,
4,
3,
2,
2,
3,
3,
1,
4,
4,
4,
5,
2,
2,
2,
2,
4,
3,
3,
3,
2,
2,
5,
4,
2,
6,
4,
4,
4,
6,
3,
3,
3,
3,
4,
2,
4,
2,
2,
3,
3,
4,
4,
4,
3,
4,
1,
4,
3,
3,
3,
5,
7,
5,
4,
2,
3,
3,
5,
3,
2,
4,
4,
1,
4,
2,
2,
2,
2,
1,
2,
2,
1,
3,
3,
3,
2,
2,
1,
4,
2,
4,
4,
3,
2,
4,
2,
2,
3,
2,
3,
3,
3,
2,
3,
2,
3,
3,
4,
2,
2,
2,
2,
3,
4,
2,
3,
4,
5,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
5,
4,
3,
3,
3,
7,
3,
3,
4,
3,
4,
4,
4,
4,
4,
3,
1,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
4,
4,
4,
2,
4,
1,
4,
4,
2,
3,
4,
4,
3,
2,
5,
6,
2,
4,
8,
3,
4,
5,
3,
3,
2,
2,
3,
2,
3,
2,
4,
4,
2,
1,
3,
2,
3,
3,
2,
3,
7,
2,
3,
3,
3,
6,
2,
2,
4,
4,
3,
2,
4,
2,
3,
2,
3,
3,
2,
3,
3,
3,
2,
4,
2,
3,
2,
4,
5,
2,
3,
3,
2,
3,
2,
2,
2,
3,
3,
2,
2,
3,
3,
3,
4,
2,
4,
4,
4,
5,
5,
6,
4,
2,
2,
2,
2,
2,
1,
2,
3,
2,
2,
5,
4,
4,
3,
7,
2,
3,
2,
3,
3,
4,
1,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
3,
3,
4,
2,
2,
2,
4,
4,
3,
2,
4,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
5,
3,
2,
2,
4,
2,
3,
3,
2,
3,
2,
3,
4,
4,
2,
4,
3,
3,
2,
2,
2,
3,
2,
3,
3,
5,
4,
4,
4,
2,
3,
4,
2,
2,
5,
2,
4,
5,
3,
3,
2,
2,
1,
2,
2,
3,
2,
3,
4,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
1,
2,
4,
2,
2,
5,
2,
3,
2,
2,
5,
1,
5,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
2,
3,
3,
2,
2,
3,
3,
2,
3,
4,
4,
5,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
2,
2,
2,
6,
3,
2,
2,
5,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
5,
2,
2,
4,
5,
4,
3,
10,
3,
3,
2,
4,
2,
2,
4,
5,
3,
3,
3,
5,
4,
7,
4,
3,
4,
4,
2,
1,
6,
4,
3,
5,
2,
5,
4,
4,
4,
4,
3,
3,
4,
2,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
3,
3,
4,
2,
3,
3,
3,
3,
3,
4,
3,
3,
5,
3,
3,
2,
5,
5,
5,
2,
3,
3,
3,
2,
2,
2,
2,
4,
3,
7,
3,
4,
4,
4,
1,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
4,
5,
3,
2,
2,
2,
2,
3,
3,
3,
2,
5,
3,
4,
6,
3,
2,
3,
3,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
3,
2,
2,
2,
4,
4,
6,
2,
2,
2,
2,
4,
4,
2,
3,
2,
2,
6,
3,
3,
3,
3,
3,
3,
5,
3,
3,
4,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
2,
2,
3,
2,
2,
1,
4,
2,
3,
3,
2,
2,
4,
4,
4,
2,
3,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
3,
4,
5,
4,
2,
2,
2,
2,
4,
4,
3,
3,
4,
3,
3,
3,
3,
1,
2,
3,
3,
3,
2,
2,
5,
4,
5,
2,
4,
4,
3,
3,
3,
4,
3,
3,
3,
2,
1,
3,
3,
3,
4,
3,
1,
3,
4,
2,
4,
4,
2,
2,
3,
2,
2,
6,
2,
2,
2,
6,
4,
2,
3,
3,
2,
2,
2,
3,
5,
6,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
2,
4,
3,
3,
2,
1,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
2,
1,
3,
2,
2,
2,
4,
2,
3,
3,
4,
3,
2,
4,
4,
4,
3,
2,
2,
4,
4,
4,
4,
3,
4,
4,
4,
4,
3,
3,
2,
2,
3,
4,
1,
2,
2,
4,
5,
5,
4,
4,
3,
3,
2,
5,
3,
3,
5,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
6,
3,
3,
3,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
3,
3,
4,
4,
4,
3,
3,
2,
7,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
5,
2,
3,
2,
2,
4,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
5,
3,
3,
6,
3,
2,
3,
4,
2,
4,
4,
3,
2,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
6,
2,
4,
6,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
5,
4,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
1,
2,
3,
2,
2,
2,
6,
3,
3,
2,
4,
4,
2,
3,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
2,
4,
4,
3,
1,
3,
2,
3,
2,
5,
4,
4,
4,
4,
2,
2,
3,
3,
4,
2,
2,
4,
6,
6,
6,
7,
8,
7,
2,
2,
2,
2,
4,
4,
4,
4,
5,
3,
2,
4,
4,
2,
8,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
5,
3,
3,
4,
2,
3,
6,
3,
4,
4,
2,
2,
4,
3,
5,
2,
2,
5,
5,
4,
2,
4,
8,
3,
2,
3,
2,
2,
3,
3,
3,
4,
2,
3,
3,
3,
2,
4,
6,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
5,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
5,
3,
5,
3,
3,
2,
2,
2,
2,
4,
3,
2,
2,
2,
4,
4,
5,
3,
4,
2,
3,
2,
2,
3,
4,
4,
3,
2,
3,
3,
3,
3,
5,
4,
6,
4,
4,
2,
4,
4,
6,
5,
2,
4,
3,
5,
2,
4,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
4,
3,
3,
6,
2,
4,
4,
4,
5,
4,
3,
3,
4,
2,
3,
5,
2,
4,
1,
1,
2,
2,
1,
2,
2,
2,
4,
4,
3,
4,
4,
2,
2,
3,
4,
2,
2,
2,
4,
2,
6,
2,
4,
3,
3,
2,
2,
3,
3,
4,
4,
4,
5,
3,
2,
3,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
2,
2,
4,
2,
2,
2,
2,
3,
3,
2,
6,
2,
5,
2,
3,
2,
2,
4,
2,
4,
3,
4,
4,
6,
8,
6,
2,
1,
4,
1,
6,
4,
2,
4,
2,
4,
2,
2,
4,
4,
3,
2,
2,
4,
6,
4,
4,
3,
2,
2,
3,
4,
2,
5,
5,
2,
5,
2,
3,
4,
2,
2,
2,
2,
2,
3,
2,
5,
5,
5,
4,
6,
4,
3,
3,
2,
3,
2,
3,
2,
4,
4,
4,
4,
2,
4,
4,
3,
3,
4,
4,
4,
2,
2,
3,
3,
3,
2,
2,
4,
3,
3,
3,
3,
3,
2,
4,
6,
2,
3,
2,
2,
3,
2,
2,
2,
2,
8,
4,
2,
4,
4,
4,
2,
3,
2,
3,
4,
2,
2,
4,
4,
3,
6,
3,
3,
2,
2,
4,
2,
3,
3,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
7,
2,
2,
1,
1,
4,
4,
3,
5,
2,
3,
3,
2,
6,
4,
4,
2,
4,
3,
3,
3,
3,
3,
12,
1,
5,
3,
4,
2,
2,
3,
3,
5,
3,
2,
3,
4,
3,
4,
3,
2,
2,
4,
2,
4,
2,
4,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
3,
4,
4,
2,
2,
4,
4,
5,
5,
4,
4,
4,
5,
2,
5,
4,
2,
4,
2,
2,
2,
1,
1,
3,
3,
3,
2,
2,
2,
2,
3,
4,
2,
3,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
1,
1,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
4,
2,
4,
4,
4,
2,
4,
3,
3,
2,
4,
4,
5,
4,
4,
1,
2,
2,
2,
5,
3,
4,
3,
2,
5,
3,
6,
3,
2,
3,
2,
1,
2,
2,
2,
2,
2,
6,
4,
3,
4,
4,
4,
3,
5,
5,
6,
3,
5,
4,
4,
2,
3,
5,
2,
2,
3,
3,
3,
3,
6,
2,
4,
3,
3,
3,
4,
4,
4,
3,
3,
2,
4,
4,
3,
4,
3,
5,
4,
2,
3,
4,
3,
6,
3,
2,
2,
3,
3,
3,
3,
4,
5,
3,
4,
3,
3,
1,
2,
1,
2,
4,
4,
2,
4,
5,
3,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
5,
5,
2,
2,
3,
3,
4,
3,
3,
3,
4,
4,
2,
1,
1,
1,
2,
4,
4,
6,
8,
4,
8,
2,
2,
1,
1,
1,
4,
3,
2,
4,
4,
3,
6,
5,
2,
4,
3,
4,
2,
2,
2,
2,
4,
3,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
5,
4,
5,
5,
5,
4,
6,
5,
4,
3,
2,
2,
3,
2,
8,
3,
2,
5,
3,
3,
2,
2,
3,
2,
2,
3,
3,
3,
3,
2,
1,
1,
3,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
4,
4,
3,
2,
4,
2,
1,
2,
2,
2,
2,
2,
3,
6,
4,
3,
2,
4,
2,
5,
4,
4,
1,
3,
3,
3,
1,
2,
2,
4,
4,
3,
2,
4,
5,
2,
3,
3,
3,
4,
2,
2,
2,
4,
2,
3,
2,
3,
3,
1,
2,
2,
3,
2,
3,
4,
2,
3,
1,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
2,
4,
3,
3,
4,
4,
4,
2,
4,
4,
4,
5,
5,
3,
4,
3,
5,
6,
4,
4,
4,
2,
4,
3,
4,
4,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
4,
4,
5,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
3,
2,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
3,
4,
3,
4,
2,
4,
2,
2,
3,
4,
2,
4,
2,
2,
2,
2,
4,
2,
4,
3,
4,
4,
2,
3,
1,
2,
2,
5,
4,
2,
2,
3,
3,
2,
2,
4,
3,
5,
4,
1,
3,
3,
3,
3,
3,
2,
2,
4,
3,
3,
3,
2,
8,
3,
4,
2,
2,
4,
2,
3,
3,
6,
4,
6,
2,
4,
4,
2,
2,
3,
2,
1,
3,
4,
2,
1,
4,
5,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
4,
4,
4,
4,
2,
3,
3,
2,
3,
2,
2,
4,
4,
4,
6,
3,
2,
4,
2,
3,
3,
2,
4,
4,
4,
4,
3,
4,
4,
3,
1,
3,
4,
2,
3,
4,
2,
4,
4,
4,
4,
2,
3,
3,
4,
4,
2,
4,
4,
4,
4,
2,
3,
3,
2,
3,
2,
4,
4,
1,
2,
3,
4,
2,
2,
4,
3,
3,
4,
4,
8,
7,
5,
4,
6,
5,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
1,
4,
4,
4,
2,
2,
2,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
5,
4,
3,
4,
3,
4,
3,
2,
4,
4,
4,
2,
2,
4,
2,
3,
4,
4,
4,
2,
2,
6,
5,
2,
4,
3,
3,
5,
2,
2,
1,
4,
4,
4,
4,
2,
3,
2,
7,
2,
4,
4,
4,
7,
2,
6,
4,
3,
4,
1,
2,
2,
2,
2,
2,
3,
2,
2,
4,
4,
4,
3,
2,
3,
3,
2,
5,
2,
2,
1,
2,
2,
2,
2,
4,
2,
2,
4,
3,
2,
3,
2,
4,
2,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
3,
4,
4,
4,
4,
5,
4,
4,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
4,
4,
3,
4,
4,
3,
4,
4,
4,
5,
4,
4,
4,
4,
5,
6,
4,
3,
4,
4,
4,
3,
5,
2,
3,
4,
2,
4,
4,
2,
4,
4,
4,
2,
2,
4,
2,
2,
3,
4,
4,
4,
2,
4,
5,
4,
5,
3,
3,
3,
4,
3,
3,
3,
3,
3,
4,
2,
4,
5,
5,
4,
4,
3,
2,
7,
2,
2,
6,
3,
3,
1,
3,
2,
2,
2,
4,
2,
4,
4,
6,
4,
4,
4,
4,
4,
3,
2,
3,
2,
3,
3,
2,
4,
4,
5,
4,
4,
2,
2,
2,
3,
2,
2,
4,
8,
4,
3,
4,
5,
6,
4,
5,
3,
2,
3,
4,
3,
2,
3,
2,
5,
5,
2,
4,
2,
2,
2,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
4,
2,
4,
3,
3,
4,
4,
4,
2,
3,
4,
4,
3,
2,
2,
2,
4,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
4,
2,
3,
2,
5,
3,
4,
4,
3,
4,
4,
2,
4,
6,
4,
4,
6,
5,
5,
5,
4,
4,
4,
5,
3,
5,
2,
4,
2,
2,
2,
2,
2,
2,
3,
4,
4,
5,
2,
4,
4,
3,
4,
4,
3,
2,
3,
2,
3,
3,
4,
3,
3,
4,
3,
4,
2,
4,
4,
4,
2,
2,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
5,
5,
3,
3,
3,
3,
4,
2,
2,
2,
4,
2,
1,
4,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
5,
5,
3,
2,
4,
4,
3,
2,
2,
3,
5,
4,
3,
4,
2,
4,
3,
4,
5,
3,
4,
4,
4,
4,
3,
4,
4,
3,
3,
2,
4,
4,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
2,
3,
2,
3,
4,
4,
2,
5,
5,
4,
6,
6,
4,
4,
2,
2,
2,
3,
2,
4,
4,
5,
3,
3,
3,
3,
4,
3,
4,
2,
3,
5,
3,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
5,
2,
2,
6,
6,
2,
2,
2,
2,
2,
2,
1,
1,
2,
2,
2,
3,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
7,
2,
2,
3,
2,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
4,
3,
3,
5,
3,
3,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
5,
3,
2,
2,
4,
8,
4,
2,
6,
2,
2,
3,
2,
2,
3,
2,
2,
3,
3,
5,
5,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
2,
6,
2,
3,
2,
3,
2,
4,
3,
4,
3,
2,
4,
3,
4,
3,
2,
4,
4,
4,
4,
3,
3,
4,
4,
4,
4,
2,
3,
7,
3,
3,
3,
3,
2,
3,
4,
4,
2,
4,
2,
4,
4,
4,
3,
1,
4,
3,
2,
2,
2,
2,
4,
2,
4,
3,
2,
3,
3,
2,
3,
3,
2,
2,
6,
2,
2,
4,
2,
3,
6,
2,
3,
2,
2,
3,
3,
3,
2,
2,
4,
3,
4,
2,
4,
3,
3,
3,
3,
3,
2,
5,
2,
8,
3,
3,
4,
3,
4,
4,
2,
3,
8,
4,
2,
4,
3,
3,
3,
3,
4,
3,
3,
2,
2,
4,
4,
4,
4,
4,
5,
2,
5,
5,
2,
2,
4,
2,
3,
3,
3,
3,
1,
3,
3,
2,
2,
4,
3,
3,
3,
2,
4,
2,
3,
1,
2,
0,
3,
2,
2,
3,
2,
3,
2,
2,
3,
3,
3,
3,
4,
2,
2,
2,
3,
2,
4,
3,
2,
3,
4,
2,
2,
1,
1,
1,
3,
1,
4,
2,
4,
4,
2,
1,
2,
2,
3,
4,
3,
4,
6,
2,
2,
2,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
4,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
4,
2,
4,
3,
3,
4,
4,
4,
2,
3,
3,
3,
2,
3,
4,
3,
2,
2,
2,
4,
4,
4,
2,
4,
3,
4,
4,
4,
4,
4,
5,
3,
4,
5,
5,
5,
2,
5,
3,
5,
3,
4,
3,
2,
2,
2,
3,
3,
3,
2,
5,
2,
3,
4,
5,
3,
3,
3,
3,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
2,
2,
4,
2,
4,
3,
5,
3,
2,
3,
3,
4,
4,
3,
3,
3,
2,
3,
3,
3,
4,
4,
3,
4,
3,
4,
2,
2,
4,
2,
3,
4,
3,
3,
2,
2,
4,
4,
4,
4,
2,
2,
2,
5,
3,
3,
4,
3,
3,
2,
4,
4,
5,
3,
4,
3,
6,
4,
5,
2,
2,
3,
2,
4,
4,
2,
4,
5,
4,
4,
3,
2,
4,
4,
4,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
5,
2,
4,
2,
2,
3,
2,
2,
3,
4,
4,
4,
4,
4,
6,
3,
4,
4,
3,
5,
3,
5,
4,
4,
2,
2,
2,
2,
2,
4,
4,
3,
4,
3,
3,
4,
4,
7,
5,
4,
4,
4,
4,
6,
3,
3,
1,
2,
4,
5,
3,
2,
4,
3,
4,
3,
3,
5,
2,
3,
4,
3,
3,
6,
3,
4,
2,
3,
4,
5,
4,
3,
2,
2,
2,
3,
3,
3,
3,
6,
3,
4,
3,
3,
5,
2,
4,
3,
4,
3,
3,
3,
2,
2,
2,
4,
3,
3,
4,
4,
6,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
6,
4,
2,
2,
2,
2,
2,
2,
2,
3,
7,
4,
2,
2,
3,
3,
3,
3,
4,
3,
4,
4,
3,
3,
2,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
1,
1,
1,
2,
3,
2,
4,
5,
2,
3,
3,
3,
2,
3,
4,
2,
4,
4,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
6,
4,
3,
2,
4,
4,
3,
2,
2,
2,
2,
2,
1,
4,
3,
4,
4,
6,
3,
2,
4,
4,
2,
4,
7,
4,
4,
2,
4,
4,
3,
3,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
3,
5,
2,
3,
2,
2,
4,
2,
4,
3,
2,
2,
6,
2,
2,
2,
5,
4,
4,
2,
4,
4,
3,
4,
3,
6,
4,
2,
2,
3,
3,
2,
4,
2,
4,
2,
3,
4,
3,
3,
4,
4,
2,
6,
1,
4,
2,
1,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
2,
5,
4,
3,
2,
2,
5,
5,
3,
3,
3,
5,
3,
4,
3,
3,
3,
7,
3,
4,
4,
2,
7,
3,
6,
3,
4,
2,
3,
2,
3,
2,
2,
2,
3,
3,
5,
3,
4,
4,
2,
2,
2,
2,
7,
3,
4,
2,
5,
3,
4,
8,
4,
4,
4,
3,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
6,
2,
2,
2,
2,
2,
5,
4,
4,
5,
3,
3,
3,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
2,
3,
4,
2,
4,
4,
4,
1,
4,
2,
4,
4,
3,
4,
4,
2,
4,
2,
2,
4,
4,
5,
5,
2,
2,
2,
2,
2,
2,
6,
2,
7,
2,
3,
3,
2,
3,
3,
3,
2,
3,
5,
3,
2,
3,
3,
3,
3,
3,
3,
3,
6,
2,
5,
5,
2,
4,
2,
2,
4,
2,
4,
2,
2,
2,
2,
3,
2,
3,
5,
2,
2,
2,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
2,
2,
2,
4,
4,
4,
6,
2,
2,
3,
2,
3,
3,
2,
3,
2,
3,
5,
3,
3,
3,
4,
3,
3,
4,
4,
2,
2,
3,
3,
3,
3,
3,
2,
3,
2,
3,
3,
4,
3,
3,
5,
3,
7,
2,
2,
4,
4,
4,
4,
4,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
5,
3,
3,
2,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
2,
2,
2,
5,
2,
2,
4,
4,
4,
5,
4,
5,
3,
2,
5,
4,
3,
4,
7,
5,
3,
2,
2,
4,
4,
4,
3,
3,
3,
4,
2,
2,
4,
2,
4,
4,
2,
3,
3,
3,
4,
2,
2,
3,
4,
5,
2,
3,
2,
4,
2,
4,
4,
2,
7,
4,
4,
2,
4,
2,
4,
4,
4,
4,
8,
8,
3,
5,
4,
5,
2,
8,
8,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
3,
3,
4,
2,
2,
2,
2,
1,
2,
2,
2,
3,
4,
2,
4,
2,
3,
2,
2,
2,
4,
2,
3,
4,
2,
4,
2,
6,
5,
5,
2,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
6,
2,
4,
2,
4,
4,
3,
4,
4,
4,
4,
2,
3,
4,
2,
4,
4,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
4,
5,
3,
2,
6,
5,
7,
3,
3,
5,
5,
5,
4,
2,
3,
3,
3,
4,
4,
6,
4,
4,
3,
3,
3,
2,
2,
3,
3,
2,
1,
2,
6,
2,
3,
3,
2,
3,
4,
2,
2,
2,
1,
3,
2,
3,
2,
2,
3,
3,
2,
3,
4,
2,
3,
3,
2,
2,
3,
2,
3,
2,
1,
1,
3,
2,
3,
5,
4,
3,
3,
3,
4,
4,
3,
4,
3,
3,
3,
2,
4,
4,
4,
2,
2,
3,
3,
4,
4,
2,
4,
4,
3,
3,
2,
3,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
3,
5,
2,
5,
4,
4,
4,
3,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
2,
5,
3,
3,
4,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
3,
3,
2,
4,
2,
3,
3,
3,
6,
5,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
2,
3,
2,
3,
3,
3,
3,
3,
2,
1,
2,
2,
2,
3,
2,
6,
6,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
1,
1,
3,
3,
6,
2,
3,
2,
1,
7,
4,
2,
2,
2,
2,
2,
3,
3,
2,
4,
2,
4,
2,
3,
3,
5,
2,
4,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
3,
2,
2,
2,
4,
5,
5,
7,
3,
4,
4,
2,
2,
2,
2,
3,
2,
2,
5,
4,
2,
5,
6,
4,
3,
2,
2,
5,
3,
4,
5,
3,
2,
4,
4,
2,
4,
2,
4,
4,
4,
8,
2,
5,
2,
3,
5,
4,
3,
3,
1,
6,
3,
3,
3,
3,
3,
3,
6,
4,
2,
4,
4,
2,
4,
2,
4,
3,
3,
2,
2,
2,
3,
5,
4,
4,
3,
3,
3,
1,
3,
2,
3,
2,
2,
2,
4,
3,
3,
4,
3,
2,
4,
4,
4,
4,
6,
6,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
2,
4,
4,
3,
4,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
5,
4,
3,
2,
3,
5,
5,
4,
5,
2,
2,
1,
1,
3,
2,
2,
2,
4,
2,
4,
3,
4,
4,
4,
3,
2,
2,
2,
2,
3,
3,
4,
4,
3,
2,
5,
2,
2,
3,
2,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
3,
3,
3,
5,
4,
4,
2,
4,
4,
3,
2,
3,
3,
5,
3,
3,
2,
2,
5,
3,
3,
4,
4,
4,
4,
5,
2,
5,
3,
2,
1,
4,
3,
3,
2,
3,
3,
3,
3,
2,
5,
2,
3,
2,
4,
2,
4,
2,
4,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
7,
4,
4,
4,
2,
3,
6,
6,
3,
4,
3,
2,
2,
2,
2,
3,
4,
7,
4,
4,
2,
5,
4,
2,
3,
2,
2,
4,
2,
3,
2,
2,
2,
2,
3,
3,
2,
3,
4,
5,
7,
6,
2,
4,
4,
4,
2,
2,
4,
4,
2,
2,
2,
4,
2,
4,
5,
3,
3,
2,
2,
1,
2,
2,
4,
4,
4,
2,
2,
3,
4,
2,
2,
3,
3,
3,
2,
3,
2,
3,
3,
4,
4,
4,
4,
3,
3,
2,
2,
2,
4,
4,
2,
6,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
4,
5,
4,
5,
3,
3,
2,
3,
2,
5,
5,
3,
3,
4,
2,
4,
4,
4,
3,
3,
4,
4,
3,
4,
4,
4,
1,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
3,
4,
4,
4,
4,
2,
4,
3,
4,
7,
4,
4,
5,
4,
4,
6,
6,
4,
4,
5,
4,
5,
5,
5,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
1,
2,
3,
3,
2,
2,
4,
4,
2,
3,
3,
3,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
3,
4,
3,
3,
2,
2,
2,
2,
4,
2,
1,
2,
2,
3,
3,
5,
7,
3,
4,
2,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
3,
2,
5,
5,
2,
2,
2,
4,
2,
2,
2,
4,
3,
2,
3,
1,
3,
2,
3,
3,
3,
3,
3,
2,
2,
6,
3,
3,
3,
9,
4,
3,
2,
4,
3,
5,
5,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
2,
3,
2,
2,
4,
3,
4,
4,
5,
2,
2,
2,
3,
3,
2,
2,
2,
3,
3,
3,
4,
5,
5,
3,
3,
3,
2,
3,
5,
3,
3,
2,
2,
2,
3,
2,
2,
2,
4,
2,
2,
4,
2,
3,
2,
2,
2,
2,
3,
7,
4,
4,
4,
3,
3,
3,
2,
3,
4,
3,
5,
3,
4,
4,
1,
2,
2,
2,
4,
3,
3,
4,
2,
4,
4,
1,
2,
2,
2,
3,
4,
4,
5,
3,
2,
2,
2,
4,
3,
3,
3,
2,
3,
4,
2,
2,
2,
2,
4,
2,
2,
2,
4,
3,
4,
4,
3,
3,
2,
5,
2,
2,
2,
3,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
4,
3,
3,
3,
3,
5,
4,
3,
3,
3,
4,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
3,
2,
4,
2,
2,
3,
2,
2,
4,
4,
3,
2,
3,
3,
2,
4,
2,
4,
2,
4,
2,
2,
3,
4,
6,
4,
2,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
1,
3,
4,
6,
3,
4,
2,
2,
5,
3,
3,
4,
2,
4,
4,
2,
2,
3,
2,
2,
5,
5,
4,
5,
2,
4,
4,
2,
4,
4,
2,
3,
3,
3,
1,
2,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
3,
4,
2,
4,
3,
4,
4,
4,
3,
2,
3,
3,
3,
2,
2,
2,
2,
3,
4,
7,
5,
3,
4,
4,
4,
3,
3,
4,
7,
4,
4,
2,
4,
3,
2,
2,
3,
2,
2,
4,
4,
3,
3,
3,
3,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
3,
4,
5,
4,
4,
2,
2,
2,
4,
5,
3,
4,
4,
6,
2,
2,
2,
2,
2,
4,
4,
2,
2,
4,
2,
4,
4,
2,
4,
2,
2,
4,
4,
2,
3,
4,
3,
2,
2,
3,
4,
3,
3,
4,
3,
2,
4,
2,
2,
3,
6,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
5,
4,
2,
4,
2,
3,
3,
4,
2,
4,
3,
3,
3,
2,
2,
4,
2,
4,
2,
3,
5,
6,
6,
3,
3,
3,
3,
3,
3,
3,
3,
5,
4,
4,
4,
6,
4,
4,
5,
4,
4,
4,
4,
4,
2,
5,
5,
4,
2,
2,
6,
2,
2,
3,
6,
3,
3,
2,
2,
3,
3,
3,
3,
3,
4,
5,
3,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
1,
4,
3,
4,
4,
4,
3,
3,
3,
4,
3,
2,
6,
2,
3,
4,
5,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
6,
4,
4,
2,
4,
4,
6,
2,
4,
4,
4,
3,
3,
3,
2,
2,
4,
4,
2,
3,
2,
5,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
6,
3,
6,
3,
4,
2,
4,
4,
4,
2,
3,
2,
3,
2,
2,
3,
3,
3,
3,
4,
2,
2,
2,
2,
3,
2,
4,
2,
3,
4,
4,
4,
4,
3,
3,
2,
3,
3,
3,
3,
2,
3,
4,
2,
5,
4,
2,
4,
4,
2,
2,
2,
2,
2,
3,
2,
4,
6,
2,
4,
2,
3,
4,
2,
4,
3,
3,
4,
7,
7,
5,
4,
3,
5,
3,
3,
3,
2,
3,
1,
2,
3,
3,
5,
3,
2,
3,
2,
3,
3,
2,
3,
3,
4,
2,
2,
4,
2,
2,
3,
2,
6,
3,
6,
2,
3,
3,
2,
2,
2,
2,
2,
4,
2,
4,
4,
3,
3,
3,
3,
4,
2,
4,
5,
3,
3,
3,
3,
3,
2,
3,
2,
4,
3,
3,
2,
2,
4,
4,
4,
3,
2,
4,
5,
2,
3,
3,
5,
5,
5,
6,
3,
4,
2,
2,
3,
2,
4,
2,
3,
2,
4,
2,
2,
1,
4,
4,
1,
2,
4,
4,
2,
2,
4,
4,
2,
4,
4,
3,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
4,
3,
6,
5,
2,
2,
4,
3,
3,
2,
3,
3,
2,
2,
3,
3,
1,
2,
2,
3,
5,
5,
2,
2,
4,
4,
1,
2,
2,
2,
2,
2,
2,
3,
2,
7,
2,
2,
6,
2,
2,
2,
2,
6,
2,
2,
2,
6,
2,
5,
5,
5,
4,
3,
5,
3,
2,
2,
2,
3,
4,
4,
3,
4,
2,
3,
2,
2,
3,
3,
4,
2,
2,
3,
2,
3,
2,
2,
1,
3,
3,
2,
4,
3,
3,
3,
3,
3,
2,
4,
3,
3,
2,
2,
2,
2,
3,
4,
2,
4,
4,
3,
2,
2,
3,
3,
2,
3,
2,
3,
2,
2,
3,
2,
4,
3,
6,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
4,
5,
4,
4,
3,
3,
2,
3,
3,
2,
3,
3,
2,
2,
2,
4,
4,
2,
2,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
4,
3,
3,
4,
3,
2,
3,
2,
6,
3,
3,
2,
4,
2,
2,
3,
2,
4,
4,
4,
5,
5,
3,
2,
1,
2,
3,
2,
2,
1,
2,
4,
5,
3,
2,
5,
2,
2,
3,
3,
3,
4,
6,
5,
5,
5,
3,
6,
2,
2,
2,
2,
3,
3,
2,
4,
4,
2,
3,
3,
5,
5,
3,
4,
4,
4,
2,
4,
4,
4,
4,
5,
2,
2,
4,
4,
2,
4,
5,
4,
5,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
4,
4,
2,
4,
2,
2,
2,
2,
3,
5,
6,
3,
3,
2,
4,
2,
4,
4,
3,
7,
4,
3,
3,
5,
3,
1,
1,
2,
3,
2,
5,
6,
6,
5,
4,
4,
2,
4,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
5,
2,
2,
2,
2,
2,
5,
3,
3,
4,
2,
4,
5,
5,
3,
3,
4,
3,
2,
2,
4,
5,
4,
2,
3,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
3,
3,
4,
2,
2,
3,
3,
3,
3,
3,
4,
4,
2,
3,
4,
3,
4,
3,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
3,
3,
2,
4,
3,
2,
3,
4,
2,
4,
4,
3,
3,
2,
2,
4,
2,
2,
2,
4,
4,
4,
2,
4,
5,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
3,
2,
2,
3,
5,
3,
1,
4,
4,
4,
3,
4,
3,
3,
5,
3,
3,
2,
2,
2,
2,
3,
5,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
1,
7,
6,
3,
3,
4,
3,
3,
3,
2,
4,
3,
3,
4,
3,
3,
2,
4,
3,
4,
3,
3,
4,
4,
4,
4,
6,
3,
3,
5,
5,
6,
4,
4,
2,
6,
2,
4,
2,
4,
2,
2,
2,
4,
3,
4,
3,
4,
4,
1,
4,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
2,
2,
6,
3,
2,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
2,
2,
3,
2,
1,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
6,
3,
7,
3,
3,
3,
3,
3,
3,
2,
6,
4,
2,
2,
1,
2,
2,
2,
1,
2,
2,
3,
3,
7,
2,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
3,
2,
2,
2,
3,
4,
2,
5,
5,
2,
4,
2,
2,
5,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
4,
4,
2,
3,
2,
2,
3,
4,
3,
3,
3,
4,
3,
3,
3,
3,
4,
3,
3,
2,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
3,
3,
5,
3,
3,
2,
4,
4,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
4,
3,
4,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
4,
1,
2,
2,
3,
4,
2,
4,
4,
4,
3,
3,
6,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
2,
1,
2,
3,
2,
2,
4,
3,
3,
3,
2,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
4,
2,
2,
2,
3,
6,
5,
3,
4,
3,
3,
3,
2,
6,
5,
2,
2,
3,
3,
4,
2,
4,
4,
6,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
3,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
4,
3,
3,
3,
3,
5,
2,
4,
2,
4,
2,
2,
3,
4,
4,
4,
4,
4,
3,
3,
1,
3,
2,
3,
3,
2,
2,
7,
5,
5,
5,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
3,
5,
4,
4,
4,
6,
4,
2,
3,
2,
2,
2,
2,
4,
3,
2,
3,
4,
4,
3,
3,
2,
3,
2,
2,
2,
3,
3,
2,
5,
3,
2,
2,
2,
2,
5,
3,
4,
3,
3,
3,
3,
3,
3,
4,
5,
4,
4,
4,
2,
2,
3,
2,
3,
4,
2,
2,
2,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
2,
2,
2,
4,
3,
3,
3,
5,
4,
3,
4,
6,
2,
5,
2,
3,
5,
2,
2,
2,
3,
2,
2,
3,
3,
3,
4,
2,
2,
3,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
5,
3,
2,
2,
4,
2,
2,
3,
2,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
5,
4,
4,
4,
4,
4,
2,
3,
6,
5,
4,
3,
4,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
2,
2,
4,
5,
4,
2,
2,
4,
4,
4,
3,
2,
5,
4,
2,
5,
3,
3,
5,
1,
2,
3,
3,
2,
2,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
2,
4,
3,
4,
3,
3,
3,
3,
4,
3,
2,
2,
3,
4,
3,
4,
3,
1,
3,
2,
4,
3,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
5,
5,
5,
5,
5,
2,
4,
2,
2,
4,
4,
4,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
1,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
2,
3,
2,
3,
2,
1,
3,
2,
2,
2,
4,
3,
3,
4,
4,
2,
2,
3,
3,
3,
4,
8,
2,
4,
2,
2,
2,
3,
2,
4,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
4,
2,
4,
4,
2,
1,
2,
6,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
4,
2,
3,
2,
2,
4,
3,
2,
4,
2,
2,
3,
3,
5,
8,
3,
3,
3,
3,
2,
3,
3,
3,
2,
4,
2,
4,
3,
2,
2,
2,
4,
3,
2,
4,
3,
4,
4,
3,
2,
2,
1,
1,
4,
4,
6,
5,
4,
10,
10,
4,
3,
3,
3,
3,
4,
4,
2,
5,
2,
2,
4,
5,
4,
4,
4,
2,
2,
2,
3,
3,
5,
3,
3,
2,
2,
2,
4,
2,
3,
5,
6,
2,
4,
3,
2,
2,
6,
3,
4,
4,
2,
3,
3,
2,
4,
6,
4,
4,
4,
3,
6,
7,
4,
4,
2,
3,
5,
3,
4,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
2,
3,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
3,
4,
3,
5,
3,
2,
3,
2,
4,
2,
2,
2,
3,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
3,
3,
3,
2,
3,
4,
4,
4,
3,
3,
5,
4,
3,
4,
4,
2,
2,
2,
4,
7,
2,
4,
2,
2,
2,
3,
2,
2,
3,
4,
4,
4,
3,
4,
3,
3,
3,
3,
4,
2,
5,
5,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
5,
5,
2,
2,
2,
2,
4,
2,
4,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
3,
2,
2,
4,
2,
4,
4,
4,
2,
2,
4,
4,
4,
5,
5,
4,
5,
5,
5,
6,
4,
2,
4,
2,
2,
2,
2,
6,
2,
3,
1,
2,
2,
2,
2,
4,
1,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
3,
3,
3,
3,
5,
4,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
3,
3,
3,
2,
4,
2,
4,
4,
3,
4,
4,
3,
2,
2,
2,
4,
2,
2,
2,
2,
4,
7,
4,
2,
4,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
2,
5,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
2,
5,
5,
2,
5,
2,
4,
4,
3,
2,
2,
2,
2,
4,
2,
2,
2,
6,
3,
3,
5,
3,
3,
3,
4,
4,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
5,
5,
4,
2,
2,
2,
1,
5,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
5,
3,
3,
3,
5,
4,
5,
3,
2,
4,
3,
3,
2,
3,
3,
3,
3,
3,
8,
5,
4,
4,
4,
2,
2,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
4,
2,
2,
2,
2,
3,
4,
6,
5,
5,
3,
3,
4,
5,
7,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
5,
3,
3,
3,
3,
3,
2,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
5,
4,
4,
4,
2,
4,
4,
2,
2,
2,
4,
2,
2,
3,
3,
2,
3,
3,
2,
2,
6,
2,
3,
4,
2,
4,
6,
2,
2,
2,
2,
3,
3,
3,
4,
4,
2,
5,
5,
3,
6,
4,
7,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
2,
4,
4,
4,
2,
2,
3,
2,
2,
3,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
2,
2,
1,
4,
4,
2,
4,
2,
2,
4,
2,
3,
2,
2,
3,
4,
3,
4,
2,
4,
2,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
3,
2,
4,
4,
2,
7,
4,
2,
2,
2,
3,
2,
2,
3,
2,
2,
3,
2,
4,
4,
3,
5,
3,
3,
2,
3,
5,
3,
3,
4,
2,
2,
2,
3,
4,
4,
2,
3,
2,
4,
3,
3,
1,
2,
2,
2,
4,
4,
2,
3,
4,
4,
2,
4,
4,
3,
2,
3,
1,
2,
4,
3,
5,
3,
2,
2,
2,
4,
2,
2,
2,
2,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
5,
4,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
1,
1,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
6,
6,
4,
4,
4,
4,
4,
4,
4,
7,
2,
2,
2,
3,
3,
3,
3,
3,
3,
6,
4,
4,
4,
4,
2,
4,
3,
2,
3,
4,
4,
2,
4,
3,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
5,
2,
4,
2,
3,
3,
6,
2,
2,
4,
4,
2,
1,
3,
5,
3,
3,
4,
3,
2,
3,
3,
3,
3,
2,
4,
3,
4,
2,
2,
3,
4,
3,
4,
3,
2,
4,
2,
4,
4,
4,
4,
2,
4,
3,
3,
2,
4,
4,
3,
2,
2,
4,
4,
3,
2,
5,
5,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
4,
2,
3,
2,
2,
2,
3,
3,
2,
4,
4,
3,
2,
5,
2,
7,
3,
3,
5,
3,
2,
2,
6,
3,
2,
3,
3,
2,
2,
4,
2,
4,
2,
2,
2,
3,
4,
2,
2,
3,
3,
7,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
8,
3,
2,
2,
4,
2,
2,
2,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
4,
4,
2,
3,
3,
2,
4,
3,
3,
3,
3,
2,
2,
5,
4,
5,
5,
5,
4,
3,
3,
2,
2,
2,
2,
2,
4,
2,
4,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
5,
2,
2,
2,
3,
3,
4,
3,
5,
4,
4,
2,
2,
4,
6,
2,
4,
4,
4,
4,
6,
6,
4,
4,
4,
2,
2,
2,
2,
4,
2,
4,
2,
2,
4,
6,
2,
2,
2,
3,
2,
5,
4,
2,
3,
3,
4,
2,
3,
3,
2,
2,
2,
3,
2,
2,
3,
4,
4,
4,
5,
6,
4,
4,
4,
6,
3,
3,
4,
4,
2,
4,
2,
2,
2,
2,
2,
4,
4,
3,
4,
4,
6,
2,
4,
2,
3,
4,
1,
1,
2,
1,
3,
3,
4,
6,
2,
6,
3,
2,
3,
3,
3,
2,
3,
1,
2,
2,
3,
3,
4,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
1,
1,
4,
5,
2,
4,
4,
3,
3,
4,
3,
3,
3,
4,
4,
2,
4,
3,
5,
4,
3,
6,
2,
3,
3,
3,
3,
3,
3,
3,
7,
7,
2,
4,
4,
2,
2,
3,
4,
2,
2,
2,
2,
4,
3,
4,
4,
3,
3,
3,
3,
3,
2,
2,
5,
2,
5,
3,
4,
4,
5,
2,
3,
2,
5,
6,
2,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
5,
7,
4,
4,
4,
3,
5,
4,
4,
4,
5,
5,
2,
3,
3,
3,
6,
4,
5,
4,
4,
4,
4,
8,
4,
4,
4,
4,
5,
4,
3,
3,
3,
2,
4,
2,
2,
4,
6,
5,
1,
2,
2,
2,
4,
3,
2,
3,
3,
3,
2,
2,
3,
2,
2,
3,
2,
2,
2,
5,
3,
5,
5,
5,
3,
3,
4,
4,
3,
3,
3,
5,
3,
3,
3,
2,
3,
3,
3,
7,
8,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
3,
3,
3,
2,
2,
1,
4,
2,
4,
4,
3,
3,
3,
4,
2,
2,
4,
2,
2,
5,
4,
4,
4,
2,
4,
4,
2,
4,
2,
3,
2,
2,
1,
2,
3,
2,
3,
3,
3,
3,
3,
5,
4,
3,
2,
2,
3,
2,
4,
3,
3,
3,
7,
4,
5,
5,
3,
5,
3,
5,
3,
3,
3,
3,
3,
4,
4,
4,
5,
4,
4,
4,
4,
5,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
5,
3,
3,
3,
4,
3,
3,
2,
2,
2,
3,
2,
2,
4,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
3,
4,
3,
2,
2,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
3,
3,
5,
6,
3,
8,
6,
6,
4,
4,
4,
2,
4,
3,
4,
4,
3,
4,
2,
4,
4,
3,
2,
4,
4,
2,
2,
4,
4,
4,
2,
5,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
5,
4,
4,
2,
2,
2,
2,
3,
5,
4,
4,
4,
2,
4,
3,
2,
5,
3,
2,
3,
4,
4,
2,
4,
3,
2,
2,
3,
4,
4,
4,
4,
3,
2,
3,
2,
2,
2,
5,
3,
3,
8,
3,
2,
3,
2,
3,
2,
4,
3,
2,
3,
2,
2,
3,
2,
5,
2,
3,
3,
2,
4,
4,
4,
3,
3,
4,
3,
3,
2,
2,
1,
4,
4,
4,
2,
3,
5,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
3,
4,
3,
3,
3,
2,
2,
6,
2,
4,
2,
3,
4,
4,
2,
3,
3,
3,
6,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
2,
3,
2,
4,
5,
3,
2,
2,
4,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
5,
4,
5,
3,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
5,
5,
4,
2,
2,
3,
3,
2,
2,
3,
3,
2,
4,
2,
3,
4,
3,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
5,
5,
4,
4,
4,
3,
3,
3,
4,
2,
4,
2,
3,
2,
2,
2,
4,
4,
3,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
3,
4,
4,
4,
4,
5,
4,
4,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
6,
4,
3,
2,
5,
3,
6,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
3,
4,
2,
3,
4,
2,
3,
2,
2,
2,
3,
3,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
5,
3,
3,
2,
4,
4,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
3,
3,
2,
2,
2,
5,
2,
2,
3,
5,
7,
6,
3,
6,
6,
2,
4,
4,
2,
2,
2,
4,
2,
2,
2,
3,
1,
4,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
4,
3,
4,
2,
2,
2,
2,
2,
3,
3,
3,
2,
5,
4,
5,
2,
2,
2,
5,
6,
6,
2,
2,
3,
2,
2,
2,
4,
3,
4,
3,
4,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
6,
2,
3,
3,
5,
3,
3,
3,
2,
2,
2,
4,
2,
2,
2,
3,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
6,
3,
3,
4,
4,
4,
4,
4,
3,
4,
2,
3,
3,
4,
4,
3,
3,
3,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
2,
2,
2,
2,
4,
4,
4,
5,
3,
2,
3,
3,
3,
3,
2,
5,
3,
8,
3,
3,
2,
3,
5,
2,
3,
3,
2,
3,
1,
3,
2,
2,
2,
2,
3,
3,
3,
2,
4,
3,
4,
1,
4,
2,
2,
2,
2,
2,
5,
2,
5,
3,
4,
4,
4,
3,
4,
3,
4,
4,
4,
4,
3,
4,
2,
4,
1,
2,
4,
1,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
2,
4,
3,
3,
4,
4,
4,
4,
4,
6,
2,
3,
4,
3,
8,
4,
5,
2,
2,
2,
4,
2,
4,
4,
3,
3,
2,
4,
4,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
4,
4,
4,
3,
3,
3,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
3,
2,
2,
5,
4,
4,
4,
4,
3,
4,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
3,
4,
3,
2,
2,
3,
2,
4,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
4,
2,
6,
5,
3,
5,
4,
4,
3,
3,
4,
3,
4,
3,
3,
3,
2,
3,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
6,
2,
3,
4,
2,
5,
4,
4,
4,
4,
2,
2,
3,
2,
3,
1,
4,
2,
3,
3,
2,
2,
3,
3,
2,
3,
5,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
4,
4,
2,
4,
4,
3,
4,
2,
4,
3,
2,
2,
5,
2,
3,
3,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
3,
2,
1,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
3,
4,
5,
4,
5,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
1,
2,
2,
2,
2,
4,
5,
3,
3,
4,
4,
2,
3,
3,
3,
4,
3,
2,
4,
6,
3,
2,
3,
2,
1,
2,
3,
4,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
3,
2,
4,
6,
2,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
1,
2,
4,
5,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
4,
3,
3,
3,
3,
2,
2,
2,
3,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
2,
2,
7,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
2,
2,
6,
5,
2,
2,
5,
4,
5,
3,
3,
2,
5,
5,
2,
4,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
4,
4,
6,
4,
8,
4,
4,
3,
3,
2,
3,
4,
4,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
3,
4,
2,
2,
3,
4,
4,
4,
3,
4,
7,
7,
3,
2,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
2,
3,
2,
2,
2,
5,
2,
2,
3,
2,
5,
3,
3,
5,
3,
3,
3,
2,
3,
3,
2,
4,
3,
4,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
2,
3,
2,
4,
4,
5,
2,
2,
2,
2,
6,
2,
4,
5,
4,
3,
3,
2,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
5,
4,
2,
4,
2,
3,
4,
4,
2,
2,
4,
4,
3,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
3,
3,
4,
3,
4,
4,
3,
4,
4,
3,
4,
3,
3,
3,
2,
4,
2,
4,
5,
5,
2,
2,
2,
1,
4,
3,
4,
4,
5,
2,
3,
2,
4,
3,
3,
2,
2,
4,
2,
4,
2,
4,
2,
1,
3,
2,
6,
4,
3,
3,
3,
3,
4,
2,
2,
5,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
4,
4,
2,
2,
4,
3,
4,
4,
5,
5,
3,
3,
2,
4,
4,
4,
3,
2,
2,
4,
2,
3,
3,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
4,
4,
4,
4,
2,
1,
3,
5,
5,
5,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
6,
4,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
2,
2,
2,
3,
4,
3,
2,
2,
4,
6,
2,
3,
4,
2,
4,
3,
3,
2,
3,
3,
3,
4,
3,
3,
4,
4,
5,
3,
4,
4,
5,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
2,
4,
4,
7,
2,
3,
2,
2,
2,
3,
2,
2,
2,
4,
4,
2,
2,
4,
2,
3,
4,
3,
4,
3,
3,
3,
3,
4,
3,
2,
4,
2,
2,
2,
4,
4,
3,
5,
2,
2,
5,
6,
5,
3,
4,
4,
4,
2,
3,
2,
2,
2,
2,
3,
3,
6,
4,
3,
3,
3,
2,
2,
2,
4,
2,
2,
4,
4,
4,
3,
4,
3,
3,
2,
2,
3,
5,
2,
2,
3,
4,
4,
3,
2,
2,
2,
1,
3,
4,
2,
5,
3,
3,
3,
3,
3,
2,
5,
5,
3,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
4,
3,
3,
2,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
6,
3,
3,
4,
3,
2,
3,
5,
5,
4,
3,
4,
4,
4,
3,
4,
4,
4,
3,
4,
1,
2,
3,
3,
3,
5,
3,
4,
4,
4,
4,
3,
2,
4,
4,
5,
4,
2,
2,
3,
4,
4,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
3,
2,
2,
2,
5,
2,
4,
3,
5,
6,
3,
3,
2,
2,
2,
2,
4,
3,
4,
2,
4,
4,
3,
2,
3,
5,
5,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
2,
4,
3,
5,
3,
2,
2,
2,
3,
2,
2,
2,
4,
4,
4,
1,
5,
4,
2,
2,
2,
3,
2,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
4,
2,
3,
3,
3,
3,
3,
2,
4,
6,
3,
6,
6,
3,
4,
2,
2,
2,
3,
2,
2,
2,
3,
2,
4,
2,
3,
2,
2,
2,
2,
1,
2,
4,
4,
2,
2,
4,
2,
4,
2,
3,
3,
2,
2,
6,
2,
3,
2,
2,
3,
4,
2,
2,
2,
3,
3,
2,
2,
2,
3,
2,
3,
3,
2,
2,
2,
5,
3,
3,
4,
3,
3,
4,
4,
6,
4,
4,
3,
4,
4,
3,
4,
3,
2,
4,
4,
4,
3,
2,
3,
3,
4,
4,
2,
4,
2,
3,
2,
2,
3,
4,
3,
3,
3,
3,
3,
6,
2,
5,
4,
6,
5,
4,
4,
2,
2,
5,
3,
4,
2,
5,
3,
8,
4,
2,
2,
2,
2,
2,
2,
1,
2,
2,
3,
3,
3,
4,
5,
4,
4,
6,
4,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
3,
2,
4,
4,
2,
6,
3,
5,
6,
6,
2,
2,
2,
4,
7,
4,
4,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
6,
2,
2,
3,
4,
4,
6,
1,
3,
4,
4,
5,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
5,
4,
3,
4,
3,
3,
3,
3,
1,
2,
2,
2,
5,
4,
2,
2,
3,
4,
6,
5,
2,
2,
3,
2,
2,
2,
3,
4,
2,
2,
4,
3,
3,
5,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
4,
4,
4,
3,
3,
2,
2,
2,
2,
5,
6,
2,
3,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
2,
4,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
3,
3,
3,
2,
3,
4,
3,
2,
3,
2,
5,
5,
4,
3,
2,
2,
2,
4,
3,
2,
1,
3,
1,
1,
2,
4,
2,
5,
4,
6,
2,
3,
4,
6,
6,
2,
2,
3,
3,
4,
2,
3,
3,
3,
3,
2,
7,
5,
4,
3,
4,
4,
2,
4,
4,
2,
2,
4,
2,
2,
3,
4,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
3,
4,
4,
2,
2,
3,
3,
3,
3,
3,
2,
3,
4,
2,
4,
4,
3,
4,
4,
2,
2,
2,
2,
2,
4,
4,
3,
4,
3,
2,
2,
2,
2,
3,
2,
3,
3,
2,
5,
2,
2,
2,
2,
2,
2,
2,
1,
2,
5,
4,
3,
2,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
3,
3,
2,
3,
3,
6,
3,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
4,
2,
4,
4,
2,
3,
2,
2,
2,
3,
3,
3,
3,
2,
3,
4,
2,
2,
4,
5,
3,
2,
2,
4,
3,
4,
4,
4,
4,
2,
4,
3,
3,
3,
2,
2,
2,
3,
2,
3,
2,
2,
3,
2,
3,
5,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
3,
4,
4,
2,
4,
5,
2,
3,
4,
1,
2,
2,
4,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
4,
4,
3,
5,
4,
3,
3,
5,
2,
2,
5,
2,
2,
2,
1,
4,
2,
2,
2,
2,
3,
3,
3,
2,
1,
3,
2,
3,
4,
2,
4,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
3,
4,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
3,
4,
3,
2,
2,
2,
4,
5,
2,
2,
4,
4,
5,
5,
5,
4,
2,
2,
3,
4,
4,
2,
2,
4,
4,
3,
3,
3,
4,
4,
3,
3,
4,
6,
5,
4,
4,
4,
2,
7,
2,
2,
2,
2,
3,
2,
4,
3,
4,
4,
4,
2,
4,
4,
2,
2,
4,
3,
2,
2,
2,
3,
3,
2,
3,
2,
4,
2,
3,
3,
2,
3,
3,
2,
4,
2,
2,
3,
2,
4,
4,
3,
2,
8,
3,
2,
2,
2,
3,
3,
4,
4,
3,
3,
3,
4,
4,
2,
2,
3,
4,
2,
4,
3,
3,
3,
3,
3,
2,
3,
2,
2,
4,
8,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
2,
4,
3,
3,
2,
3,
3,
2,
2,
3,
3,
2,
2,
6,
2,
2,
4,
3,
2,
3,
4,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
5,
4,
2,
1,
2,
2,
2,
4,
4,
3,
3,
2,
3,
4,
3,
3,
3,
3,
3,
3,
2,
4,
4,
5,
3,
5,
5,
5,
5,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
3,
5,
4,
4,
4,
4,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
5,
2,
4,
2,
3,
3,
2,
3,
5,
3,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
2,
4,
4,
4,
3,
2,
4,
5,
3,
3,
2,
4,
2,
3,
3,
4,
4,
4,
2,
2,
3,
2,
4,
2,
3,
4,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
4,
4,
2,
2,
4,
4,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
5,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
4,
2,
2,
3,
3,
2,
3,
3,
4,
3,
3,
3,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
7,
2,
2,
4,
7,
3,
3,
2,
2,
2,
2,
3,
4,
2,
2,
4,
4,
5,
4,
4,
4,
4,
1,
3,
3,
5,
2,
4,
4,
2,
2,
3,
3,
2,
5,
4,
4,
4,
4,
4,
2,
2,
2,
2,
5,
4,
4,
4,
4,
3,
4,
3,
4,
2,
4,
3,
3,
3,
2,
3,
2,
4,
3,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
4,
2,
2,
2,
6,
3,
3,
3,
2,
2,
3,
2,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
2,
2,
4,
5,
2,
5,
5,
2,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
2,
4,
4,
2,
4,
4,
2,
1,
3,
6,
2,
4,
4,
2,
4,
4,
3,
3,
3,
6,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
3,
2,
4,
2,
4,
2,
6,
6,
3,
3,
4,
3,
3,
2,
4,
3,
3,
4,
4,
1,
2,
4,
2,
2,
2,
2,
3,
2,
3,
2,
5,
4,
7,
4,
4,
3,
3,
2,
2,
3,
4,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
1,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
3,
3,
2,
2,
4,
2,
4,
5,
7,
2,
4,
2,
4,
2,
2,
6,
6,
2,
4,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
3,
2,
3,
2,
3,
2,
3,
2,
3,
3,
3,
2,
2,
3,
4,
2,
3,
4,
5,
2,
4,
4,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
2,
2,
5,
5,
4,
2,
4,
2,
2,
2,
2,
3,
2,
5,
3,
3,
3,
2,
4,
4,
2,
4,
2,
2,
2,
4,
2,
2,
1,
2,
2,
2,
2,
2,
2,
4,
3,
4,
2,
2,
2,
2,
2,
5,
3,
2,
2,
4,
4,
2,
2,
3,
3,
3,
2,
3,
4,
2,
4,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
4,
3,
2,
3,
3,
4,
4,
3,
3,
2,
4,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
3,
2,
4,
3,
2,
2,
3,
3,
4,
4,
4,
2,
2,
4,
3,
3,
2,
3,
2,
2,
2,
4,
2,
4,
2,
4,
4,
3,
3,
2,
3,
3,
3,
7,
4,
2,
4,
4,
2,
4,
4,
2,
2,
4,
2,
4,
2,
3,
3,
4,
4,
3,
4,
3,
4,
1,
2,
3,
2,
2,
2,
3,
3,
2,
3,
3,
4,
4,
5,
2,
2,
4,
3,
4,
4,
5,
2,
2,
3,
3,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
5,
6,
4,
4,
3,
4,
2,
2,
3,
3,
3,
2,
4,
5,
4,
4,
2,
2,
3,
4,
2,
2,
3,
2,
2,
3,
3,
3,
5,
4,
4,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
5,
2,
2,
2,
6,
2,
2,
5,
2,
3,
2,
3,
3,
4,
4,
2,
3,
3,
2,
2,
1,
3,
3,
2,
2,
3,
2,
4,
4,
4,
3,
4,
6,
2,
3,
4,
2,
4,
6,
4,
4,
2,
2,
2,
4,
4,
2,
2,
2,
2,
4,
4,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
3,
1,
3,
2,
2,
2,
2,
2,
2,
2,
4,
7,
3,
2,
4,
4,
8,
2,
3,
3,
4,
3,
3,
3,
2,
3,
3,
3,
3,
2,
1,
3,
3,
3,
3,
2,
3,
2,
7,
4,
4,
4,
4,
3,
3,
4,
2,
4,
5,
5,
2,
2,
2,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
6,
5,
4,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
2,
2,
3,
2,
2,
3,
4,
3,
2,
4,
2,
4,
2,
2,
2,
3,
2,
2,
3,
3,
2,
2,
6,
3,
4,
3,
3,
5,
4,
3,
2,
3,
2,
2,
5,
2,
4,
4,
4,
2,
2,
3,
3,
3,
2,
3,
3,
2,
4,
4,
3,
4,
3,
4,
4,
5,
2,
2,
4,
4,
2,
4,
4,
2,
3,
2,
2,
3,
4,
5,
5,
4,
3,
3,
2,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
5,
4,
4,
3,
3,
3,
2,
2,
1,
3,
3,
4,
3,
5,
4,
3,
2,
4,
4,
1,
4,
3,
3,
3,
3,
3,
4,
3,
2,
3,
1,
2,
4,
2,
4,
4,
4,
4,
4,
6,
6,
4,
4,
4,
6,
3,
3,
4,
4,
3,
2,
2,
2,
4,
5,
3,
3,
4,
3,
3,
2,
3,
3,
3,
2,
3,
3,
2,
3,
3,
2,
3,
3,
4,
2,
1,
2,
3,
2,
4,
2,
2,
2,
3,
2,
3,
2,
2,
3,
2,
2,
2,
3,
3,
2,
1,
4,
3,
3,
2,
6,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
2,
1,
2,
1,
2,
2,
3,
2,
3,
4,
3,
3,
5,
5,
4,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
4,
4,
2,
2,
4,
4,
5,
4,
6,
5,
2,
2,
2,
2,
3,
5,
3,
4,
5,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
4,
4,
3,
6,
4,
4,
1,
3,
3,
4,
4,
4,
4,
2,
2,
3,
3,
4,
4,
2,
2,
5,
5,
2,
2,
4,
3,
1,
1,
2,
5,
2,
2,
3,
2,
2,
3,
2,
2,
3,
2,
2,
3,
4,
2,
2,
4,
2,
3,
3,
3,
2,
2,
2,
4,
4,
3,
1,
3,
4,
4,
5,
3,
4,
4,
4,
4,
4,
4,
4,
2,
5,
2,
2,
2,
4,
4,
2,
8,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
4,
2,
2,
2,
2,
3,
4,
4,
3,
4,
2,
4,
4,
2,
4,
4,
4,
3,
3,
2,
2,
3,
6,
2,
2,
2,
5,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
5,
3,
3,
2,
2,
3,
2,
2,
3,
3,
2,
3,
2,
3,
1,
1,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
4,
2,
3,
3,
3,
2,
5,
4,
2,
1,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
2,
3,
4,
4,
4,
3,
3,
2,
3,
2,
4,
4,
4,
2,
4,
4,
4,
2,
4,
4,
5,
3,
4,
2,
4,
4,
3,
3,
3,
3,
4,
4,
2,
4,
3,
3,
3,
2,
4,
4,
7,
6,
7,
7,
5,
2,
4,
3,
1,
4,
4,
4,
4,
4,
1,
5,
4,
1,
4,
4,
6,
5,
3,
4,
3,
1,
4,
4,
2,
5,
4,
7,
3,
3,
3,
5,
2,
3,
2,
2,
3,
2,
3,
4,
2,
3,
3,
2,
2,
2,
4,
3,
2,
3,
4,
4,
4,
3,
2,
4,
2,
2,
3,
2,
3,
2,
2,
3,
3,
4,
4,
4,
2,
2,
3,
3,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
4,
3,
2,
5,
2,
3,
4,
2,
2,
2,
3,
3,
3,
3,
4,
2,
2,
2,
4,
4,
2,
2,
4,
6,
6,
3,
4,
4,
4,
4,
1,
3,
1,
3,
4,
2,
5,
4,
2,
4,
4,
2,
2,
5,
4,
4,
2,
4,
4,
2,
4,
3,
6,
3,
3,
2,
4,
2,
2,
2,
3,
3,
2,
2,
2,
4,
3,
3,
3,
2,
4,
2,
2,
2,
2,
3,
2,
5,
4,
3,
4,
4,
2,
3,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
2,
3,
3,
3,
3,
2,
4,
2,
2,
3,
3,
2,
5,
4,
2,
2,
2,
3,
4,
2,
2,
2,
4,
3,
4,
2,
2,
3,
3,
2,
4,
5,
4,
3,
2,
3,
4,
4,
2,
3,
3,
4,
4,
2,
2,
4,
3,
3,
3,
2,
2,
2,
2,
5,
2,
4,
6,
4,
3,
2,
2,
2,
3,
2,
2,
2,
3,
3,
4,
7,
3,
3,
3,
4,
2,
4,
2,
3,
3,
2,
3,
6,
3,
3,
2,
1,
2,
3,
3,
2,
4,
3,
5,
5,
4,
4,
5,
4,
2,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
3,
1,
3,
4,
5,
4,
3,
2,
2,
4,
5,
5,
5,
2,
2,
4,
4,
4,
2,
2,
4,
4,
4,
2,
2,
2,
4,
2,
4,
4,
5,
5,
5,
5,
2,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
2,
1,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
4,
1,
2,
2,
2,
5,
6,
3,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
5,
2,
4,
3,
4,
3,
2,
2,
4,
3,
4,
3,
4,
4,
4,
4,
4,
2,
2,
4,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
8,
3,
3,
5,
3,
5,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
5,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
2,
3,
2,
2,
5,
5,
2,
2,
5,
3,
2,
3,
3,
3,
2,
1,
3,
3,
2,
3,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
5,
4,
2,
2,
2,
4,
4,
4,
5,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
1,
3,
3,
3,
3,
3,
3,
3,
4,
5,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
4,
5,
3,
3,
3,
4,
3,
3,
6,
5,
4,
4,
4,
3,
4,
4,
4,
4,
6,
4,
3,
2,
2,
3,
3,
4,
5,
2,
2,
2,
3,
3,
5,
4,
4,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
5,
3,
2,
4,
4,
3,
3,
3,
2,
6,
2,
3,
4,
3,
3,
3,
3,
2,
3,
3,
4,
4,
2,
5,
4,
2,
2,
5,
3,
2,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
1,
2,
5,
6,
4,
4,
4,
3,
2,
3,
2,
2,
2,
4,
4,
3,
5,
5,
6,
4,
2,
2,
2,
2,
6,
4,
4,
2,
2,
2,
2,
1,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
2,
5,
3,
5,
2,
4,
2,
3,
4,
4,
3,
3,
2,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
3,
2,
1,
6,
5,
3,
2,
2,
2,
2,
1,
2,
2,
4,
3,
3,
2,
4,
2,
2,
2,
2,
6,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
4,
4,
3,
2,
3,
10,
2,
2,
2,
4,
4,
3,
4,
2,
2,
5,
6,
2,
2,
4,
7,
4,
3,
4,
6,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
2,
3,
5,
7,
4,
3,
3,
2,
2,
3,
2,
2,
2,
2,
3,
3,
2,
3,
4,
3,
4,
4,
4,
3,
3,
3,
4,
4,
3,
4,
3,
3,
2,
2,
1,
1,
2,
4,
2,
4,
4,
4,
2,
2,
5,
6,
4,
7,
4,
4,
3,
2,
3,
4,
3,
3,
3,
4,
3,
3,
5,
3,
3,
3,
3,
4,
3,
3,
2,
2,
2,
2,
3,
2,
4,
4,
2,
5,
4,
6,
4,
4,
2,
1,
4,
3,
2,
2,
4,
2,
2,
2,
2,
2,
3,
5,
4,
5,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
3,
2,
3,
3,
3,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
4,
3,
3,
6,
3,
3,
3,
3,
3,
2,
2,
1,
2,
3,
3,
4,
4,
5,
3,
3,
3,
2,
3,
3,
2,
5,
5,
3,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
5,
3,
3,
2,
4,
4,
4,
5,
4,
4,
2,
3,
4,
2,
3,
2,
3,
4,
3,
3,
3,
2,
2,
4,
4,
3,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
7,
4,
4,
6,
4,
4,
4,
2,
3,
3,
3,
5,
2,
2,
2,
3,
4,
3,
2,
4,
4,
4,
5,
2,
4,
3,
2,
4,
2,
5,
2,
2,
2,
2,
4,
2,
3,
4,
4,
4,
2,
3,
2,
4,
2,
3,
4,
1,
2,
3,
2,
3,
2,
3,
3,
6,
3,
3,
3,
2,
1,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
2,
3,
3,
4,
2,
2,
2,
3,
3,
2,
2,
3,
1,
2,
4,
4,
4,
3,
4,
3,
3,
4,
4,
3,
3,
3,
3,
2,
7,
2,
2,
4,
3,
2,
2,
3,
2,
2,
7,
4,
2,
4,
2,
2,
4,
3,
4,
4,
4,
4,
2,
2,
3,
3,
2,
3,
3,
4,
4,
5,
5,
5,
4,
4,
4,
4,
4,
4,
4,
5,
3,
4,
4,
3,
3,
3,
2,
2,
6,
4,
4,
4,
4,
2,
2,
3,
4,
3,
3,
3,
2,
3,
3,
3,
2,
3,
4,
1,
1,
2,
2,
3,
4,
3,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
6,
5,
6,
3,
1,
2,
4,
2,
1,
1,
3,
4,
5,
2,
2,
3,
4,
2,
2,
2,
3,
4,
2,
3,
3,
3,
3,
2,
2,
4,
3,
2,
3,
2,
3,
2,
4,
5,
2,
6,
4,
4,
5,
4,
3,
4,
4,
4,
4,
3,
2,
5,
7,
2,
4,
3,
2,
2,
3,
3,
5,
4,
4,
4,
4,
3,
2,
4,
3,
2,
2,
4,
3,
4,
2,
2,
4,
4,
4,
1,
2,
2,
2,
3,
2,
3,
2,
4,
4,
4,
4,
4,
2,
5,
4,
3,
6,
2,
3,
2,
2,
2,
3,
3,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
2,
4,
4,
5,
8,
3,
5,
3,
2,
2,
2,
3,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
5,
5,
3,
2,
3,
4,
4,
4,
4,
4,
7,
4,
5,
2,
3,
3,
2,
2,
3,
2,
2,
3,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
6,
4,
4,
4,
4,
4,
2,
2,
4,
2,
3,
2,
5,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
7,
4,
4,
4,
4,
5,
4,
2,
2,
2,
2,
4,
3,
4,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
1,
4,
4,
4,
4,
1,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
3,
2,
2,
3,
4,
4,
2,
2,
3,
2,
3,
3,
4,
2,
2,
3,
2,
3,
3,
3,
3,
4,
2,
2,
4,
2,
2,
4,
4,
3,
4,
4,
4,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
2,
2,
3,
4,
2,
4,
4,
3,
3,
4,
2,
3,
2,
4,
2,
4,
4,
4,
4,
4,
4,
2,
4,
3,
2,
2,
2,
2,
3,
3,
3,
2,
4,
2,
2,
2,
3,
3,
6,
6,
2,
4,
4,
4,
2,
5,
3,
3,
3,
5,
3,
4,
2,
2,
2,
4,
4,
3,
5,
3,
6,
2,
3,
2,
3,
2,
4,
2,
3,
2,
5,
3,
2,
4,
3,
3,
5,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
3,
2,
3,
2,
3,
2,
2,
2,
5,
2,
4,
3,
1,
7,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
3,
3,
2,
4,
2,
5,
2,
2,
4,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
2,
2,
4,
2,
2,
3,
2,
2,
2,
3,
4,
4,
2,
6,
2,
4,
2,
5,
5,
5,
7,
4,
5,
4,
3,
4,
3,
2,
2,
3,
3,
4,
3,
3,
4,
4,
2,
3,
4,
4,
2,
2,
2,
1,
2,
3,
2,
2,
3,
3,
2,
2,
2,
2,
4,
6,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
1,
3,
4,
3,
2,
2,
3,
3,
2,
2,
2,
3,
3,
4,
4,
4,
4,
2,
4,
4,
2,
3,
3,
3,
2,
2,
3,
2,
3,
3,
1,
2,
2,
2,
2,
3,
4,
2,
3,
3,
3,
3,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
5,
2,
6,
2,
3,
7,
2,
2,
2,
2,
2,
4,
4,
4,
3,
3,
2,
9,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
5,
3,
5,
2,
3,
2,
2,
3,
2,
4,
3,
3,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
2,
7,
3,
3,
4,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
2,
3,
5,
2,
2,
4,
4,
4,
4,
5,
5,
3,
3,
3,
4,
4,
3,
3,
3,
5,
4,
2,
4,
2,
5,
4,
4,
4,
4,
4,
3,
4,
2,
2,
5,
5,
2,
3,
2,
3,
2,
3,
3,
4,
5,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
3,
3,
5,
3,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
6,
3,
5,
4,
6,
5,
5,
4,
4,
4,
4,
4,
5,
6,
5,
5,
5,
2,
2,
5,
5,
4,
3,
3,
2,
3,
4,
3,
3,
3,
3,
5,
3,
2,
2,
5,
5,
12,
2,
4,
4,
4,
3,
4,
4,
6,
4,
4,
2,
2,
4,
2,
4,
2,
2,
2,
3,
5,
2,
3,
3,
3,
3,
2,
2,
2,
5,
5,
3,
3,
3,
2,
4,
4,
3,
1,
2,
2,
2,
2,
7,
2,
2,
2,
3,
3,
2,
2,
3,
3,
4,
2,
2,
4,
4,
2,
4,
4,
2,
2,
3,
2,
4,
4,
4,
2,
4,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
1,
2,
2,
2,
3,
3,
3,
3,
3,
3,
1,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
2,
3,
3,
3,
2,
5,
4,
3,
2,
2,
2,
3,
3,
3,
3,
2,
1,
2,
4,
2,
3,
2,
3,
3,
3,
3,
2,
4,
3,
2,
4,
2,
2,
3,
3,
3,
2,
2,
3,
2,
2,
3,
2,
7,
6,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
5,
4,
4,
2,
4,
4,
3,
3,
3,
2,
3,
3,
3,
3,
4,
3,
3,
4,
3,
3,
3,
3,
4,
2,
1,
2,
2,
6,
4,
2,
2,
4,
2,
2,
3,
3,
3,
4,
4,
5,
6,
6,
4,
6,
6,
2,
4,
4,
3,
3,
3,
3,
3,
3,
6,
2,
2,
2,
4,
2,
7,
2,
5,
4,
2,
2,
4,
2,
5,
4,
4,
4,
2,
3,
2,
4,
3,
2,
2,
2,
3,
5,
2,
3,
5,
2,
1,
1,
2,
3,
4,
4,
3,
4,
6,
2,
3,
2,
4,
2,
5,
6,
6,
3,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
3,
4,
3,
2,
3,
3,
1,
1,
3,
1,
3,
5,
4,
2,
4,
6,
6,
3,
2,
2,
2,
3,
3,
4,
3,
5,
4,
4,
3,
5,
2,
4,
5,
2,
2,
6,
7,
4,
4,
3,
4,
4,
3,
2,
1,
2,
1,
4,
5,
1,
3,
3,
1,
3,
2,
2,
3,
2,
3,
4,
4,
4,
4,
2,
2,
3,
3,
2,
4,
4,
3,
3,
5,
2,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
2,
3,
2,
2,
2,
3,
4,
3,
6,
3,
2,
3,
2,
3,
3,
5,
5,
2,
5,
2,
4,
5,
3,
3,
3,
4,
3,
4,
2,
2,
2,
2,
5,
4,
3,
4,
4,
4,
5,
3,
7,
3,
4,
2,
4,
4,
3,
4,
4,
3,
5,
4,
4,
2,
2,
2,
4,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
4,
2,
4,
4,
4,
2,
2,
2,
2,
3,
4,
3,
2,
2,
4,
3,
2,
3,
3,
4,
3,
4,
3,
4,
4,
3,
2,
2,
3,
5,
2,
2,
2,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
1,
4,
3,
2,
2,
2,
2,
2,
10,
3,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
3,
4,
5,
4,
2,
2,
4,
2,
4,
4,
3,
4,
2,
4,
4,
4,
4,
4,
2,
3,
3,
3,
2,
3,
4,
3,
4,
3,
2,
2,
3,
5,
2,
4,
2,
3,
4,
5,
5,
5,
5,
3,
3,
3,
1,
3,
2,
2,
3,
2,
2,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
4,
3,
2,
4,
5,
5,
2,
2,
6,
5,
2,
3,
3,
3,
5,
4,
2,
5,
2,
2,
2,
4,
3,
3,
4,
2,
2,
2,
6,
2,
2,
2,
4,
5,
5,
3,
2,
4,
4,
2,
2,
4,
3,
3,
5,
3,
3,
2,
6,
2,
4,
2,
2,
2,
2,
2,
3,
4,
2,
2,
4,
7,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
3,
1,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
6,
4,
5,
2,
2,
4,
2,
2,
4,
4,
2,
3,
3,
2,
2,
2,
3,
5,
2,
3,
4,
4,
3,
2,
5,
4,
2,
3,
3,
3,
3,
2,
3,
3,
5,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
6,
3,
3,
2,
4,
5,
2,
3,
3,
4,
2,
2,
4,
4,
4,
3,
4,
3,
8,
4,
4,
3,
4,
4,
4,
3,
3,
3,
4,
3,
4,
3,
4,
4,
3,
3,
2,
2,
2,
3,
3,
2,
2,
5,
4,
4,
4,
4,
4,
3,
2,
2,
3,
3,
2,
3,
2,
3,
2,
2,
4,
4,
4,
4,
4,
5,
2,
1,
3,
4,
4,
4,
4,
3,
1,
2,
3,
2,
4,
3,
2,
2,
3,
1,
3,
3,
3,
4,
2,
2,
4,
3,
3,
2,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
4,
3,
3,
4,
4,
4,
6,
4,
4,
3,
3,
3,
3,
3,
2,
5,
3,
2,
5,
3,
2,
2,
1,
2,
3,
3,
3,
3,
3,
4,
3,
2,
3,
3,
4,
4,
3,
2,
2,
2,
2,
3,
2,
3,
2,
5,
5,
5,
2,
3,
4,
4,
4,
4,
4,
7,
7,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
2,
4,
2,
5,
3,
3,
3,
3,
5,
3,
3,
4,
3,
3,
3,
3,
3,
3,
5,
4,
4,
6,
3,
3,
5,
3,
4,
4,
2,
3,
2,
3,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
6,
6,
4,
6,
5,
4,
3,
3,
4,
5,
3,
3,
4,
2,
4,
3,
3,
4,
3,
3,
5,
4,
5,
3,
2,
3,
3,
3,
1,
4,
6,
4,
3,
2,
3,
3,
3,
2,
3,
5,
5,
1,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
4,
5,
5,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
1,
4,
2,
2,
2,
1,
2,
3,
3,
5,
4,
2,
4,
2,
3,
3,
2,
2,
4,
3,
2,
2,
2,
3,
2,
4,
2,
2,
2,
3,
6,
1,
2,
7,
4,
4,
3,
2,
2,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
3,
3,
4,
4,
2,
7,
4,
4,
4,
3,
2,
3,
2,
2,
4,
4,
2,
4,
6,
4,
4,
3,
5,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
4,
3,
2,
2,
4,
2,
2,
2,
4,
3,
4,
4,
4,
3,
2,
2,
2,
2,
2,
4,
2,
5,
4,
1,
4,
1,
2,
2,
2,
2,
2,
3,
4,
2,
2,
4,
4,
4,
2,
3,
4,
4,
4,
4,
3,
4,
2,
3,
2,
4,
4,
1,
2,
3,
3,
3,
4,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
3,
4,
4,
4,
3,
3,
2,
2,
2,
4,
4,
4,
2,
5,
3,
3,
3,
3,
4,
2,
2,
5,
4,
5,
3,
8,
5,
4,
2,
2,
4,
2,
2,
5,
6,
4,
3,
6,
7,
2,
4,
4,
3,
5,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
3,
3,
2,
4,
2,
3,
2,
2,
3,
2,
2,
2,
4,
3,
3,
4,
4,
2,
4,
1,
1,
11,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
1,
6,
5,
4,
5,
4,
4,
2,
3,
3,
3,
2,
2,
2,
3,
1,
2,
3,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
5,
4,
4,
3,
4,
4,
3,
3,
3,
2,
2,
4,
3,
3,
3,
1,
3,
3,
3,
4,
4,
5,
2,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
2,
1,
2,
5,
2,
5,
2,
6,
5,
5,
2,
5,
3,
2,
2,
2,
3,
2,
4,
5,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
3,
2,
2,
3,
4,
3,
3,
3,
2,
2,
2,
3,
4,
9,
2,
4,
4,
4,
4,
4,
4,
5,
4,
4,
2,
4,
2,
2,
2,
4,
2,
2,
4,
3,
2,
2,
3,
2,
2,
3,
3,
4,
3,
4,
2,
3,
5,
3,
2,
2,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
3,
3,
4,
5,
4,
3,
3,
3,
2,
3,
3,
2,
2,
4,
2,
2,
3,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
5,
2,
4,
3,
4,
3,
3,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
5,
3,
4,
3,
2,
3,
2,
2,
2,
4,
2,
2,
4,
1,
2,
2,
2,
2,
5,
3,
4,
3,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
3,
2,
2,
2,
3,
3,
2,
4,
3,
4,
2,
5,
3,
3,
3,
3,
3,
3,
5,
2,
2,
4,
4,
4,
4,
5,
2,
5,
3,
5,
2,
2,
4,
2,
5,
4,
3,
3,
4,
2,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
5,
2,
6,
5,
4,
4,
7,
9,
8,
6,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
7,
6,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
4,
5,
5,
3,
2,
3,
2,
4,
2,
2,
1,
2,
3,
3,
3,
3,
3,
5,
4,
3,
4,
2,
3,
3,
4,
2,
4,
4,
3,
2,
1,
2,
1,
3,
3,
4,
4,
4,
2,
5,
4,
5,
5,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
8,
4,
8,
3,
4,
6,
3,
4,
3,
4,
5,
3,
4,
3,
4,
4,
2,
3,
3,
4,
3,
2,
3,
3,
2,
2,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
1,
2,
2,
3,
2,
2,
4,
2,
2,
2,
3,
4,
1,
1,
3,
3,
3,
2,
3,
3,
3,
3,
2,
4,
4,
4,
4,
5,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
4,
3,
3,
3,
4,
3,
4,
4,
5,
4,
3,
2,
2,
4,
2,
3,
3,
3,
6,
2,
4,
4,
4,
3,
4,
4,
4,
5,
2,
3,
3,
3,
2,
2,
3,
5,
4,
3,
1,
3,
3,
4,
4,
4,
4,
7,
4,
4,
4,
3,
3,
3,
3,
2,
4,
4,
3,
3,
3,
4,
4,
2,
4,
3,
4,
1,
4,
4,
4,
5,
4,
2,
3,
2,
3,
2,
5,
2,
2,
2,
2,
2,
4,
3,
6,
4,
4,
2,
3,
2,
3,
1,
2,
4,
4,
2,
1,
2,
5,
3,
3,
2,
4,
4,
2,
4,
2,
4,
6,
4,
4,
4,
3,
3,
2,
3,
3,
4,
4,
2,
4,
4,
7,
4,
2,
5,
5,
2,
5,
4,
2,
2,
1,
2,
4,
2,
4,
4,
2,
2,
3,
3,
3,
5,
6,
3,
6,
2,
2,
6,
2,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
5,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
5,
2,
3,
2,
4,
2,
4,
4,
4,
4,
2,
3,
3,
4,
2,
5,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
2,
3,
4,
2,
2,
3,
3,
2,
2,
2,
2,
7,
4,
5,
3,
3,
2,
3,
5,
5,
3,
4,
5,
2,
3,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
4,
4,
3,
3,
3,
4,
2,
4,
4,
4,
3,
4,
4,
3,
4,
3,
1,
2,
3,
1,
4,
4,
2,
2,
6,
5,
2,
5,
4,
2,
2,
5,
3,
3,
4,
3,
4,
5,
3,
4,
3,
3,
4,
3,
4,
3,
4,
2,
3,
2,
4,
2,
2,
2,
3,
2,
5,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
2,
2,
2,
3,
4,
2,
4,
2,
4,
3,
2,
4,
4,
4,
3,
4,
4,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
4,
3,
4,
3,
3,
2,
4,
4,
4,
2,
3,
3,
3,
3,
4,
2,
3,
2,
2,
2,
2,
2,
3,
4,
4,
4,
3,
3,
3,
2,
2,
3,
4,
2,
4,
2,
4,
3,
2,
3,
4,
4,
4,
2,
3,
2,
4,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
2,
2,
4,
3,
4,
3,
4,
2,
8,
4,
4,
1,
3,
3,
6,
3,
7,
7,
2,
3,
5,
5,
2,
2,
2,
6,
2,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
3,
2,
2,
3,
3,
2,
2,
2,
4,
3,
3,
3,
2,
2,
3,
6,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
2,
2,
4,
2,
2,
3,
3,
2,
3,
3,
7,
4,
4,
4,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
4,
4,
4,
4,
2,
2,
2,
5,
2,
4,
2,
4,
4,
5,
3,
2,
4,
2,
2,
4,
2,
1,
2,
2,
2,
3,
3,
3,
6,
4,
6,
8,
3,
5,
4,
4,
4,
4,
3,
5,
3,
3,
3,
3,
3,
3,
5,
3,
2,
3,
3,
3,
4,
4,
4,
5,
5,
5,
4,
4,
4,
4,
4,
4,
2,
2,
2,
6,
4,
4,
4,
4,
4,
4,
5,
2,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
8,
7,
5,
6,
6,
5,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
4,
3,
4,
3,
3,
4,
5,
6,
3,
2,
3,
2,
4,
5,
3,
5,
4,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
2,
4,
2,
3,
2,
4,
2,
4,
3,
2,
4,
4,
4,
4,
5,
4,
2,
4,
3,
3,
3,
2,
4,
3,
3,
4,
4,
2,
4,
2,
5,
2,
3,
3,
2,
3,
3,
3,
3,
3,
4,
5,
2,
3,
2,
5,
5,
2,
3,
3,
4,
4,
4,
3,
4,
4,
3,
4,
4,
4,
2,
2,
2,
3,
4,
1,
3,
4,
2,
3,
3,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
4,
4,
3,
3,
3,
2,
3,
2,
2,
3,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
2,
2,
2,
5,
5,
5,
5,
2,
4,
6,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
2,
2,
5,
2,
3,
4,
3,
2,
4,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
3,
2,
2,
4,
3,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
6,
4,
3,
4,
4,
4,
5,
4,
2,
2,
2,
2,
3,
3,
3,
7,
4,
3,
4,
3,
1,
2,
4,
5,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
2,
4,
2,
4,
4,
5,
5,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
5,
2,
3,
3,
3,
3,
2,
5,
3,
5,
3,
2,
4,
4,
4,
4,
4,
2,
5,
4,
2,
2,
2,
4,
2,
2,
4,
5,
4,
4,
2,
4,
3,
2,
4,
4,
4,
3,
4,
2,
1,
3,
2,
2,
2,
4,
3,
6,
4,
2,
3,
3,
4,
4,
3,
3,
2,
4,
2,
3,
3,
3,
3,
4,
4,
2,
5,
4,
4,
6,
5,
4,
3,
4,
4,
2,
2,
2,
2,
2,
5,
2,
4,
3,
5,
3,
3,
5,
3,
3,
3,
4,
3,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
4,
3,
3,
4,
3,
3,
3,
4,
6,
3,
2,
2,
5,
3,
3,
3,
2,
2,
3,
3,
2,
4,
1,
4,
4,
6,
5,
6,
6,
4,
2,
2,
4,
5,
5,
2,
2,
2,
4,
2,
4,
5,
2,
2,
4,
2,
4,
4,
4,
3,
3,
3,
3,
5,
4,
4,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
4,
3,
3,
4,
2,
2,
2,
8,
4,
2,
2,
2,
2,
3,
3,
5,
4,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
3,
4,
4,
5,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
4,
2,
2,
4,
6,
3,
4,
3,
4,
2,
4,
2,
2,
3,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
3,
6,
4,
4,
5,
2,
2,
2,
1,
1,
2,
3,
3,
4,
4,
4,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
3,
3,
2,
3,
4,
4,
2,
2,
2,
4,
4,
2,
2,
2,
2,
4,
2,
4,
3,
3,
2,
3,
3,
2,
3,
3,
3,
4,
4,
3,
2,
4,
3,
2,
2,
2,
5,
3,
3,
3,
3,
3,
4,
3,
3,
2,
4,
4,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
3,
3,
3,
5,
3,
3,
2,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
2,
3,
5,
2,
2,
3,
3,
3,
4,
2,
3,
3,
2,
2,
3,
2,
2,
4,
2,
6,
2,
3,
4,
4,
5,
3,
3,
3,
4,
4,
3,
2,
5,
5,
2,
3,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
5,
2,
2,
3,
4,
2,
2,
4,
3,
2,
2,
4,
4,
4,
6,
5,
6,
5,
6,
6,
6,
4,
2,
3,
5,
4,
2,
4,
4,
4,
4,
2,
2,
3,
3,
4,
3,
2,
3,
3,
2,
4,
5,
5,
5,
3,
3,
2,
2,
4,
2,
3,
2,
2,
2,
6,
4,
2,
3,
3,
3,
4,
3,
4,
4,
4,
3,
4,
4,
4,
3,
3,
2,
4,
2,
4,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
2,
3,
4,
3,
4,
3,
3,
3,
3,
3,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
6,
3,
3,
3,
2,
1,
4,
2,
2,
4,
4,
4,
4,
4,
5,
4,
2,
3,
4,
2,
3,
4,
2,
2,
2,
2,
4,
4,
3,
2,
4,
4,
4,
4,
2,
3,
2,
4,
4,
4,
9,
4,
3,
4,
3,
4,
2,
2,
2,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
1,
2,
4,
4,
4,
4,
4,
2,
5,
3,
3,
2,
2,
2,
4,
3,
2,
6,
3,
6,
2,
3,
3,
6,
7,
4,
4,
4,
4,
5,
4,
1,
2,
3,
4,
3,
1,
3,
3,
5,
2,
2,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
3,
2,
2,
5,
3,
2,
3,
1,
4,
2,
2,
2,
2,
2,
2,
2,
5,
2,
3,
5,
4,
8,
4,
4,
4,
4,
5,
5,
5,
5,
6,
2,
5,
5,
2,
4,
2,
2,
3,
4,
5,
2,
4,
3,
4,
2,
2,
3,
3,
4,
4,
3,
3,
3,
3,
2,
4,
4,
3,
2,
3,
3,
3,
6,
3,
3,
4,
3,
5,
3,
3,
6,
4,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
5,
3,
2,
1,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
5,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
3,
2,
3,
2,
4,
2,
5,
3,
6,
3,
2,
2,
2,
2,
3,
2,
2,
5,
3,
4,
4,
2,
2,
3,
4,
4,
4,
4,
5,
2,
5,
3,
3,
3,
2,
2,
2,
2,
4,
3,
3,
3,
5,
2,
3,
3,
2,
6,
5,
2,
4,
4,
4,
4,
4,
4,
2,
7,
3,
5,
4,
7,
2,
2,
3,
5,
2,
3,
2,
4,
4,
4,
6,
2,
2,
6,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
4,
3,
4,
4,
5,
4,
3,
3,
2,
3,
4,
2,
5,
4,
3,
2,
2,
3,
4,
2,
4,
4,
5,
1,
3,
4,
4,
2,
2,
3,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
4,
2,
3,
2,
2,
2,
4,
4,
3,
3,
4,
2,
3,
3,
2,
2,
3,
2,
3,
2,
3,
3,
2,
2,
3,
2,
2,
3,
3,
3,
3,
4,
3,
3,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
5,
5,
5,
2,
3,
7,
6,
3,
3,
2,
3,
2,
2,
4,
3,
3,
3,
3,
5,
4,
2,
4,
3,
3,
4,
2,
4,
4,
4,
1,
3,
3,
4,
3,
3,
3,
3,
3,
3,
1,
4,
4,
4,
1,
2,
4,
4,
4,
3,
2,
4,
4,
2,
2,
4,
4,
4,
3,
4,
3,
3,
4,
2,
4,
2,
4,
3,
4,
2,
4,
3,
3,
3,
5,
5,
3,
2,
3,
3,
7,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
6,
3,
4,
4,
5,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
3,
3,
2,
3,
4,
2,
3,
2,
4,
2,
3,
3,
3,
4,
4,
4,
3,
6,
1,
2,
4,
4,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
3,
5,
5,
5,
4,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
3,
3,
3,
3,
4,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
2,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
3,
2,
3,
2,
2,
2,
2,
5,
7,
2,
2,
2,
4,
4,
3,
4,
2,
4,
5,
3,
3,
6,
2,
3,
8,
4,
4,
2,
4,
4,
4,
2,
4,
2,
4,
2,
4,
3,
1,
5,
3,
3,
3,
3,
2,
3,
3,
5,
2,
3,
3,
7,
3,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
5,
6,
5,
3,
4,
2,
2,
2,
3,
2,
2,
2,
4,
2,
2,
3,
2,
2,
3,
2,
2,
4,
4,
4,
7,
2,
4,
3,
3,
2,
2,
5,
3,
3,
3,
3,
3,
4,
4,
3,
4,
4,
3,
2,
3,
3,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
1,
2,
2,
2,
2,
4,
2,
4,
2,
3,
3,
2,
2,
2,
4,
2,
5,
2,
2,
2,
3,
5,
5,
3,
3,
4,
5,
3,
3,
3,
3,
5,
5,
3,
3,
4,
3,
3,
3,
3,
3,
2,
4,
2,
4,
2,
7,
3,
3,
4,
6,
3,
3,
2,
6,
2,
4,
4,
2,
2,
2,
4,
3,
2,
3,
3,
3,
3,
3,
4,
3,
3,
2,
4,
2,
4,
3,
3,
2,
7,
4,
8,
4,
5,
6,
6,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
2,
4,
4,
4,
5,
2,
3,
2,
3,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
3,
4,
4,
4,
4,
4,
2,
3,
1,
4,
4,
2,
3,
3,
4,
2,
3,
2,
3,
4,
2,
3,
2,
3,
2,
2,
2,
2,
3,
4,
2,
2,
3,
3,
2,
4,
4,
4,
6,
1,
4,
4,
4,
2,
3,
3,
2,
3,
5,
2,
2,
6,
9,
3,
7,
2,
3,
3,
2,
2,
4,
4,
2,
6,
3,
4,
4,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
2,
3,
2,
2,
3,
3,
4,
8,
3,
3,
4,
3,
3,
4,
5,
4,
3,
3,
2,
5,
4,
3,
4,
3,
2,
2,
3,
3,
3,
3,
3,
4,
3,
6,
6,
4,
4,
4,
3,
3,
2,
3,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
3,
2,
4,
3,
3,
4,
3,
4,
2,
3,
6,
4,
2,
7,
4,
2,
2,
2,
3,
3,
2,
6,
4,
4,
4,
2,
2,
2,
4,
4,
4,
5,
2,
3,
5,
5,
2,
2,
4,
2,
3,
3,
2,
2,
2,
4,
2,
2,
2,
3,
3,
4,
2,
3,
3,
4,
2,
3,
2,
2,
2,
2,
2,
4,
4,
2,
2,
5,
3,
4,
4,
4,
5,
4,
3,
6,
5,
6,
6,
6,
4,
2,
2,
6,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
6,
2,
5,
3,
2,
2,
2,
4,
2,
2,
4,
4,
4,
4,
2,
2,
2,
5,
2,
4,
3,
3,
3,
3,
3,
2,
2,
4,
2,
3,
3,
1,
2,
3,
3,
3,
2,
2,
5,
2,
6,
4,
2,
8,
2,
4,
4,
2,
2,
2,
4,
3,
4,
4,
2,
4,
4,
3,
2,
3,
3,
2,
4,
4,
3,
2,
4,
4,
5,
5,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
6,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
3,
3,
2,
3,
2,
2,
5,
2,
4,
2,
2,
2,
2,
1,
2,
2,
6,
6,
4,
4,
4,
4,
3,
3,
1,
3,
4,
1,
4,
5,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
3,
3,
4,
4,
4,
3,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
3,
5,
3,
4,
2,
2,
4,
4,
4,
2,
6,
2,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
7,
2,
4,
2,
2,
4,
2,
4,
4,
4,
2,
2,
2,
3,
3,
2,
4,
2,
3,
2,
3,
3,
3,
3,
3,
4,
2,
3,
3,
4,
3,
2,
2,
3,
7,
4,
4,
4,
4,
5,
4,
2,
2,
3,
3,
3,
2,
3,
2,
4,
4,
2,
3,
3,
3,
2,
4,
4,
3,
6,
4,
4,
4,
4,
2,
2,
6,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
1,
2,
4,
3,
4,
4,
3,
4,
5,
4,
2,
2,
6,
4,
4,
3,
2,
5,
2,
6,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
3,
2,
3,
2,
2,
3,
1,
3,
2,
5,
4,
3,
4,
4,
4,
2,
2,
3,
5,
4,
2,
3,
3,
4,
6,
4,
4,
4,
3,
3,
4,
6,
4,
5,
2,
3,
2,
3,
3,
4,
3,
3,
2,
3,
4,
5,
4,
2,
2,
1,
4,
4,
6,
6,
3,
3,
4,
5,
3,
3,
4,
4,
4,
2,
4,
2,
4,
3,
2,
6,
4,
3,
4,
2,
2,
5,
2,
2,
4,
4,
4,
5,
5,
4,
3,
4,
3,
3,
4,
4,
4,
4,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
4,
3,
3,
4,
4,
4,
4,
2,
4,
5,
8,
4,
3,
3,
2,
3,
2,
4,
1,
2,
1,
3,
2,
2,
3,
3,
2,
2,
2,
2,
3,
4,
3,
3,
4,
5,
3,
4,
3,
4,
3,
4,
4,
4,
3,
5,
5,
2,
2,
2,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
2,
4,
4,
2,
6,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
4,
4,
3,
2,
2,
3,
2,
2,
4,
3,
3,
2,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
2,
3,
3,
3,
1,
2,
3,
3,
3,
2,
2,
2,
6,
2,
2,
2,
2,
2,
2,
5,
2,
4,
3,
2,
2,
3,
7,
3,
4,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
4,
4,
4,
5,
5,
5,
5,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
1,
3,
2,
2,
2,
2,
3,
2,
4,
5,
4,
4,
4,
3,
2,
3,
4,
4,
4,
4,
3,
4,
3,
2,
3,
3,
2,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
3,
5,
4,
2,
3,
6,
2,
2,
3,
2,
3,
3,
2,
1,
3,
2,
3,
3,
4,
4,
3,
2,
3,
2,
5,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
4,
3,
2,
4,
2,
2,
2,
3,
3,
3,
3,
1,
2,
2,
2,
2,
3,
3,
4,
2,
6,
4,
3,
5,
2,
2,
2,
3,
2,
3,
3,
3,
4,
5,
4,
4,
4,
4,
3,
4,
2,
4,
3,
2,
2,
2,
3,
2,
3,
2,
2,
2,
4,
4,
2,
2,
4,
2,
3,
2,
2,
3,
7,
2,
3,
4,
3,
3,
3,
5,
4,
3,
2,
2,
4,
4,
4,
4,
3,
2,
2,
3,
4,
3,
3,
4,
4,
2,
3,
4,
4,
3,
2,
3,
3,
2,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
3,
2,
4,
4,
4,
3,
4,
4,
4,
2,
2,
3,
4,
4,
4,
5,
2,
4,
4,
4,
7,
2,
3,
4,
2,
3,
3,
3,
3,
2,
2,
4,
5,
4,
3,
6,
4,
2,
2,
5,
2,
7,
5,
2,
2,
2,
2,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
5,
2,
2,
3,
3,
8,
2,
3,
2,
2,
4,
4,
4,
3,
5,
5,
2,
6,
2,
4,
4,
2,
4,
2,
4,
3,
2,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
2,
2,
4,
2,
3,
1,
3,
3,
2,
7,
4,
4,
2,
3,
3,
3,
3,
2,
4,
4,
3,
4,
2,
2,
4,
4,
3,
2,
2,
3,
3,
3,
1,
3,
3,
2,
2,
2,
3,
3,
5,
3,
4,
3,
3,
5,
5,
5,
5,
5,
2,
6,
4,
4,
2,
4,
4,
2,
2,
4,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
5,
4,
4,
5,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
3,
3,
4,
5,
4,
2,
2,
2,
2,
2,
3,
5,
2,
5,
2,
2,
4,
4,
7,
9,
4,
2,
5,
2,
2,
2,
2,
2,
1,
3,
4,
3,
3,
5,
5,
2,
3,
5,
3,
2,
2,
2,
3,
2,
3,
2,
4,
3,
2,
2,
3,
2,
5,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
4,
4,
4,
2,
3,
2,
4,
3,
4,
4,
2,
4,
3,
2,
3,
4,
6,
2,
2,
2,
1,
5,
3,
2,
2,
3,
3,
2,
4,
4,
2,
2,
3,
2,
2,
4,
6,
2,
4,
2,
3,
4,
3,
2,
3,
2,
3,
2,
3,
4,
4,
4,
4,
4,
3,
3,
3,
4,
3,
3,
3,
3,
3,
5,
3,
3,
3,
3,
5,
4,
2,
3,
2,
5,
3,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
5,
2,
4,
2,
2,
8,
4,
3,
3,
3,
3,
3,
2,
2,
4,
4,
6,
6,
6,
6,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
1,
2,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
2,
3,
3,
1,
2,
2,
2,
2,
3,
2,
3,
3,
4,
4,
2,
4,
4,
4,
2,
2,
2,
3,
4,
4,
6,
5,
1,
4,
3,
4,
1,
4,
5,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
3,
4,
4,
4,
3,
3,
4,
4,
4,
3,
3,
3,
2,
3,
2,
2,
3,
2,
4,
4,
4,
4,
2,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
5,
4,
6,
4,
2,
2,
2,
3,
4,
2,
4,
2,
4,
2,
3,
3,
4,
3,
2,
5,
2,
2,
3,
3,
3,
2,
3,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
4,
2,
4,
4,
2,
4,
2,
4,
4,
2,
3,
3,
2,
3,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
1,
3,
3,
6,
2,
3,
4,
4,
4,
2,
3,
3,
4,
4,
2,
2,
3,
2,
4,
3,
5,
3,
2,
3,
3,
4,
2,
2,
6,
3,
3,
1,
3,
4,
4,
4,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
2,
1,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
5,
4,
2,
2,
4,
2,
4,
4,
3,
4,
3,
5,
2,
5,
5,
2,
3,
3,
5,
3,
3,
2,
6,
2,
2,
2,
2,
3,
2,
2,
2,
5,
4,
2,
5,
2,
3,
2,
5,
2,
3,
3,
6,
5,
4,
3,
5,
3,
3,
2,
2,
2,
2,
2,
9,
5,
3,
2,
4,
1,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
7,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
2,
2,
2,
2,
5,
2,
3,
2,
4,
3,
4,
2,
2,
4,
2,
5,
2,
2,
2,
2,
3,
3,
4,
3,
2,
4,
3,
5,
3,
3,
4,
3,
3,
2,
4,
3,
4,
3,
5,
2,
2,
2,
2,
4,
3,
3,
3,
2,
3,
4,
4,
2,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
6,
2,
3,
3,
2,
2,
3,
3,
4,
3,
3,
6,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
3,
2,
2,
2,
7,
3,
2,
6,
2,
2,
2,
8,
3,
3,
3,
4,
5,
4,
4,
3,
3,
2,
2,
4,
5,
2,
2,
2,
4,
2,
2,
4,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
1,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
6,
2,
3,
3,
3,
5,
4,
2,
6,
3,
3,
3,
4,
4,
5,
3,
3,
6,
2,
6,
3,
3,
3,
3,
4,
3,
2,
4,
4,
4,
4,
4,
3,
4,
2,
5,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
5,
3,
3,
4,
4,
3,
4,
3,
5,
2,
3,
4,
2,
2,
4,
6,
5,
2,
2,
2,
3,
2,
4,
2,
4,
4,
2,
4,
4,
4,
2,
3,
3,
2,
3,
2,
5,
2,
2,
3,
1,
4,
3,
4,
2,
2,
6,
3,
2,
3,
6,
4,
4,
2,
2,
3,
3,
3,
5,
3,
3,
3,
3,
4,
2,
3,
2,
2,
3,
4,
3,
6,
2,
6,
4,
2,
5,
5,
2,
2,
7,
2,
2,
4,
5,
4,
4,
5,
3,
5,
8,
1,
3,
3,
2,
3,
3,
2,
3,
3,
3,
2,
1,
2,
3,
3,
3,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
3,
3,
2,
3,
4,
3,
5,
3,
3,
4,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
1,
2,
3,
3,
5,
2,
1,
3,
3,
2,
2,
2,
1,
2,
4,
2,
3,
3,
3,
3,
3,
3,
4,
5,
3,
3,
3,
3,
3,
2,
3,
2,
3,
3,
6,
3,
2,
2,
3,
3,
3,
2,
3,
2,
2,
3,
2,
2,
3,
2,
2,
3,
2,
2,
3,
3,
2,
3,
3,
3,
2,
4,
4,
4,
7,
3,
3,
3,
4,
4,
3,
2,
2,
3,
4,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
1,
2,
2,
4,
2,
2,
4,
4,
3,
4,
3,
3,
4,
4,
3,
6,
5,
5,
2,
3,
5,
3,
4,
3,
4,
3,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
1,
2,
3,
3,
3,
3,
4,
4,
4,
4,
2,
3,
3,
4,
2,
2,
2,
3,
2,
3,
2,
3,
4,
3,
3,
2,
2,
3,
3,
2,
2,
4,
4,
3,
4,
2,
2,
2,
3,
3,
2,
2,
4,
7,
5,
4,
4,
5,
4,
5,
3,
2,
4,
2,
2,
4,
4,
4,
3,
3,
4,
3,
4,
5,
2,
2,
4,
6,
3,
3,
2,
2,
3,
6,
2,
3,
4,
4,
2,
3,
3,
3,
2,
1,
4,
5,
2,
4,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
5,
3,
3,
3,
3,
4,
4,
3,
3,
5,
3,
2,
4,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
2,
2,
6,
3,
5,
4,
5,
3,
2,
4,
3,
4,
4,
4,
2,
2,
3,
4,
3,
2,
4,
1,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
5,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
2,
2,
3,
5,
5,
7,
2,
2,
2,
4,
2,
4,
2,
4,
3,
3,
4,
5,
3,
3,
3,
3,
3,
3,
4,
3,
4,
2,
5,
3,
6,
2,
4,
4,
4,
2,
2,
4,
2,
4,
4,
2,
4,
3,
4,
3,
2,
2,
3,
4,
4,
4,
4,
4,
3,
4,
4,
2,
4,
2,
2,
4,
2,
4,
3,
3,
3,
3,
6,
4,
2,
2,
3,
3,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
5,
2,
2,
3,
3,
2,
2,
2,
5,
1,
2,
2,
3,
2,
2,
3,
5,
4,
4,
3,
4,
4,
4,
4,
2,
2,
4,
3,
3,
4,
3,
3,
3,
2,
4,
4,
2,
3,
5,
2,
4,
3,
3,
2,
3,
2,
4,
3,
4,
3,
3,
2,
2,
3,
3,
4,
4,
3,
5,
4,
2,
4,
2,
3,
5,
2,
2,
3,
4,
2,
2,
2,
6,
2,
2,
2,
2,
4,
3,
3,
4,
3,
2,
4,
4,
3,
5,
2,
2,
5,
4,
2,
4,
3,
2,
4,
2,
3,
2,
5,
6,
3,
5,
6,
4,
2,
2,
3,
4,
3,
4,
3,
3,
4,
4,
2,
2,
3,
3,
3,
3,
4,
2,
3,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
5,
2,
2,
2,
3,
3,
4,
7,
2,
4,
2,
4,
3,
3,
4,
1,
4,
7,
4,
3,
3,
3,
3,
3,
2,
4,
4,
2,
2,
3,
3,
3,
3,
3,
2,
2,
4,
4,
3,
4,
3,
2,
2,
2,
4,
2,
5,
2,
4,
2,
4,
6,
2,
3,
2,
2,
2,
3,
3,
2,
3,
2,
2,
2,
2,
4,
3,
2,
3,
4,
3,
6,
4,
2,
2,
2,
1,
3,
2,
2,
3,
2,
3,
3,
2,
3,
2,
2,
2,
4,
2,
3,
4,
4,
4,
1,
3,
4,
4,
4,
3,
2,
2,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
6,
5,
4,
4,
3,
3,
3,
4,
2,
4,
4,
3,
2,
6,
2,
5,
3,
5,
2,
2,
2,
5,
2,
3,
5,
4,
5,
3,
2,
3,
3,
2,
2,
2,
4,
3,
4,
4,
4,
3,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
2,
5,
2,
4,
2,
2,
4,
4,
2,
3,
4,
2,
2,
3,
7,
5,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
1,
4,
4,
4,
4,
3,
4,
3,
3,
3,
4,
2,
5,
3,
2,
3,
4,
3,
3,
3,
4,
3,
3,
2,
3,
2,
3,
4,
2,
4,
2,
4,
5,
4,
4,
3,
4,
3,
3,
7,
3,
2,
2,
3,
4,
4,
4,
3,
3,
3,
2,
3,
3,
3,
3,
2,
3,
6,
3,
3,
3,
3,
3,
2,
4,
4,
5,
3,
3,
1,
3,
3,
2,
3,
3,
7,
4,
2,
4,
2,
3,
2,
2,
4,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
2,
2,
1,
2,
2,
4,
3,
3,
3,
4,
6,
4,
2,
5,
5,
7,
5,
5,
5,
5,
5,
5,
4,
4,
3,
3,
2,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
3,
4,
4,
3,
4,
3,
2,
3,
2,
6,
6,
5,
6,
4,
1,
3,
3,
2,
1,
3,
3,
3,
3,
4,
2,
4,
2,
3,
2,
5,
4,
3,
2,
4,
4,
4,
4,
2,
4,
3,
3,
2,
2,
3,
3,
2,
2,
5,
4,
2,
2,
2,
3,
6,
6,
3,
3,
4,
3,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
1,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
3,
2,
2,
2,
4,
2,
3,
2,
3,
4,
5,
4,
3,
5,
3,
2,
2,
2,
2,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
5,
2,
4,
3,
4,
4,
4,
4,
3,
3,
2,
3,
2,
4,
4,
4,
2,
2,
4,
4,
4,
3,
3,
3,
4,
2,
3,
3,
2,
3,
4,
5,
2,
2,
3,
2,
4,
4,
4,
3,
3,
3,
2,
4,
2,
2,
3,
4,
3,
2,
4,
3,
2,
4,
5,
4,
2,
4,
3,
2,
2,
3,
3,
2,
2,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
3,
3,
7,
2,
2,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
2,
2,
2,
2,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
3,
3,
2,
4,
2,
4,
2,
4,
3,
4,
2,
3,
3,
2,
2,
2,
4,
3,
2,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
5,
3,
2,
3,
2,
4,
4,
3,
6,
4,
3,
4,
5,
4,
3,
4,
3,
3,
3,
4,
3,
2,
2,
3,
2,
3,
4,
2,
2,
3,
2,
2,
7,
4,
4,
2,
2,
2,
4,
2,
5,
2,
2,
2,
2,
3,
2,
5,
3,
2,
3,
2,
2,
3,
4,
3,
3,
2,
4,
4,
2,
3,
2,
2,
2,
5,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
2,
3,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
4,
2,
3,
3,
2,
2,
2,
4,
2,
6,
4,
4,
2,
2,
2,
2,
4,
4,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
3,
2,
4,
3,
3,
4,
3,
4,
3,
2,
3,
3,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
5,
4,
2,
2,
2,
3,
3,
4,
2,
4,
4,
3,
4,
8,
4,
3,
2,
2,
2,
4,
3,
4,
4,
4,
10,
4,
2,
6,
3,
4,
4,
2,
5,
2,
3,
2,
2,
4,
4,
4,
3,
2,
5,
2,
2,
5,
3,
2,
4,
3,
3,
4,
4,
2,
2,
2,
2,
4,
4,
2,
3,
3,
3,
2,
1,
2,
3,
4,
3,
3,
2,
2,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
2,
3,
2,
4,
2,
4,
4,
5,
4,
6,
2,
2,
3,
3,
4,
3,
3,
2,
3,
4,
2,
4,
2,
5,
3,
5,
3,
4,
2,
4,
4,
4,
4,
3,
4,
4,
4,
2,
2,
2,
4,
2,
4,
4,
4,
3,
4,
4,
4,
5,
4,
5,
5,
3,
3,
3,
2,
3,
4,
4,
2,
2,
2,
4,
2,
3,
6,
8,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
1,
2,
3,
2,
4,
5,
4,
4,
2,
4,
2,
4,
2,
2,
6,
3,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
2,
7,
4,
3,
4,
4,
2,
5,
3,
3,
7,
3,
4,
4,
2,
2,
3,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
5,
5,
5,
3,
4,
6,
4,
4,
4,
4,
4,
2,
2,
3,
1,
2,
3,
3,
2,
3,
3,
3,
6,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
2,
4,
4,
4,
3,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
3,
4,
2,
5,
4,
4,
4,
5,
4,
4,
4,
2,
6,
2,
3,
4,
4,
4,
3,
3,
4,
2,
3,
2,
3,
3,
2,
4,
2,
3,
2,
4,
6,
4,
3,
2,
3,
5,
3,
3,
3,
2,
4,
4,
3,
3,
2,
2,
2,
2,
4,
4,
9,
4,
6,
5,
3,
2,
2,
2,
2,
5,
3,
4,
3,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
3,
2,
4,
2,
4,
3,
4,
2,
2,
3,
3,
3,
2,
2,
5,
3,
3,
3,
2,
2,
2,
3,
2,
4,
2,
5,
1,
1,
4,
3,
2,
3,
2,
2,
2,
4,
2,
3,
1,
2,
1,
2,
3,
2,
3,
4,
6,
3,
4,
4,
4,
4,
4,
4,
6,
2,
3,
4,
3,
4,
7,
7,
2,
5,
6,
7,
7,
6,
3,
3,
2,
2,
2,
3,
2,
2,
3,
2,
7,
4,
4,
4,
2,
5,
3,
4,
3,
5,
3,
2,
4,
2,
4,
3,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
2,
2,
4,
2,
2,
3,
3,
3,
3,
4,
4,
6,
3,
3,
4,
2,
2,
6,
4,
4,
4,
4,
4,
4,
5,
3,
3,
4,
4,
4,
4,
3,
3,
2,
3,
4,
4,
4,
2,
3,
2,
5,
3,
5,
2,
4,
4,
5,
2,
3,
3,
3,
4,
3,
1,
3,
2,
1,
5,
2,
4,
5,
2,
4,
4,
5,
4,
5,
2,
2,
2,
7,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
3,
4,
3,
4,
3,
4,
4,
3,
4,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
5,
1,
2,
6,
3,
3,
3,
3,
3,
3,
5,
4,
3,
3,
3,
2,
3,
2,
1,
2,
4,
4,
2,
4,
4,
4,
4,
2,
2,
1,
3,
3,
3,
3,
1,
3,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
3,
3,
4,
2,
2,
3,
4,
2,
3,
2,
3,
3,
3,
3,
2,
4,
3,
4,
4,
3,
2,
3,
4,
3,
2,
5,
3,
2,
2,
3,
3,
5,
4,
5,
2,
3,
2,
3,
4,
3,
5,
2,
3,
3,
3,
2,
4,
3,
2,
3,
2,
3,
1,
1,
2,
2,
2,
4,
4,
4,
4,
5,
2,
6,
3,
3,
3,
3,
4,
3,
5,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
4,
2,
2,
2,
4,
4,
2,
4,
4,
3,
2,
4,
4,
2,
4,
4,
4,
4,
5,
2,
6,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
1,
4,
3,
4,
4,
4,
4,
2,
1,
2,
3,
2,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
4,
3,
4,
2,
2,
4,
2,
3,
2,
3,
3,
2,
2,
2,
4,
2,
2,
3,
2,
3,
3,
2,
2,
2,
2,
2,
4,
3,
3,
2,
2,
4,
4,
4,
4,
3,
3,
3,
4,
2,
3,
2,
3,
2,
3,
4,
1,
4,
2,
4,
2,
3,
4,
2,
2,
2,
3,
3,
2,
2,
3,
2,
3,
3,
2,
3,
2,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
4,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
3,
2,
4,
4,
4,
3,
3,
4,
2,
4,
5,
3,
2,
2,
3,
2,
6,
3,
3,
2,
5,
2,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
6,
3,
4,
3,
4,
3,
3,
4,
4,
2,
2,
2,
4,
4,
4,
4,
3,
3,
2,
4,
2,
2,
2,
4,
5,
2,
7,
4,
4,
4,
4,
4,
2,
3,
2,
4,
5,
5,
4,
4,
3,
5,
6,
3,
2,
3,
3,
5,
3,
3,
2,
2,
2,
4,
4,
5,
4,
3,
3,
4,
3,
4,
3,
3,
4,
3,
2,
2,
3,
3,
3,
2,
4,
2,
3,
4,
2,
3,
2,
3,
3,
2,
4,
2,
4,
2,
4,
4,
5,
4,
4,
4,
6,
2,
2,
4,
4,
4,
4,
4,
4,
4,
5,
5,
3,
2,
4,
4,
1,
1,
5,
3,
3,
5,
4,
2,
3,
3,
3,
3,
3,
4,
3,
3,
4,
2,
4,
4,
4,
4,
5,
8,
4,
3,
3,
3,
3,
2,
3,
4,
4,
2,
2,
2,
5,
2,
2,
4,
3,
3,
2,
3,
4,
2,
3,
3,
3,
2,
3,
3,
4,
4,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
4,
3,
4,
3,
3,
3,
3,
3,
3,
2,
2,
6,
3,
2,
2,
4,
4,
3,
4,
2,
3,
2,
2,
4,
3,
3,
4,
4,
2,
2,
2,
5,
4,
2,
2,
2,
2,
2,
3,
2,
4,
3,
2,
3,
3,
3,
5,
3,
5,
2,
4,
2,
5,
4,
2,
2,
2,
2,
4,
4,
3,
5,
4,
5,
4,
2,
4,
5,
2,
4,
4,
2,
2,
4,
2,
3,
3,
2,
2,
2,
6,
4,
4,
4,
3,
3,
3,
3,
4,
2,
3,
3,
4,
4,
2,
3,
3,
3,
2,
2,
3,
4,
6,
2,
5,
2,
2,
3,
3,
2,
2,
3,
5,
3,
3,
3,
3,
3,
4,
4,
2,
3,
3,
3,
2,
4,
5,
4,
2,
2,
2,
3,
2,
4,
3,
3,
5,
5,
4,
4,
3,
4,
3,
4,
2,
4,
6,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
6,
5,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
1,
3,
1,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
4,
4,
3,
2,
3,
5,
2,
4,
5,
5,
4,
2,
2,
2,
2,
4,
10,
4,
2,
4,
4,
6,
4,
4,
4,
4,
4,
6,
5,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
5,
5,
4,
2,
2,
3,
2,
4,
4,
4,
4,
3,
3,
4,
5,
4,
3,
2,
3,
2,
3,
3,
4,
2,
3,
4,
3,
4,
2,
2,
2,
4,
2,
2,
2,
5,
3,
3,
3,
2,
3,
3,
5,
5,
6,
5,
4,
4,
4,
2,
4,
4,
5,
2,
2,
2,
2,
2,
3,
2,
5,
1,
1,
1,
2,
2,
3,
4,
4,
2,
2,
2,
3,
4,
4,
2,
2,
3,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
4,
5,
3,
3,
4,
4,
4,
2,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
5,
3,
4,
2,
3,
1,
2,
5,
2,
5,
4,
4,
4,
2,
2,
3,
4,
3,
2,
2,
4,
4,
3,
4,
3,
3,
3,
2,
4,
2,
5,
2,
4,
5,
2,
3,
3,
2,
4,
4,
4,
4,
3,
3,
2,
6,
3,
3,
5,
5,
4,
5,
3,
3,
3,
6,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
5,
5,
2,
2,
4,
2,
2,
2,
2,
4,
4,
3,
2,
5,
5,
4,
4,
3,
4,
3,
4,
2,
2,
4,
2,
4,
2,
2,
2,
2,
2,
3,
4,
2,
2,
3,
5,
2,
2,
2,
3,
1,
3,
2,
2,
2,
2,
2,
5,
3,
2,
2,
2,
1,
2,
3,
2,
3,
2,
2,
2,
2,
5,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
5,
2,
3,
3,
4,
4,
3,
2,
2,
4,
4,
4,
2,
3,
4,
2,
5,
1,
5,
3,
2,
2,
3,
2,
4,
2,
2,
2,
3,
5,
2,
5,
2,
2,
3,
2,
2,
4,
3,
3,
4,
2,
4,
5,
4,
3,
6,
2,
2,
4,
4,
2,
3,
2,
3,
4,
4,
4,
4,
2,
1,
4,
2,
2,
4,
3,
5,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
2,
3,
3,
2,
4,
2,
4,
1,
3,
2,
2,
2,
4,
3,
3,
3,
5,
3,
5,
2,
5,
5,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
5,
2,
5,
1,
3,
4,
2,
2,
3,
3,
4,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
2,
3,
5,
7,
2,
4,
4,
4,
3,
3,
3,
3,
9,
3,
3,
3,
3,
3,
2,
1,
3,
3,
4,
4,
4,
3,
5,
2,
2,
2,
3,
4,
2,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
5,
4,
4,
3,
4,
4,
2,
4,
2,
3,
4,
4,
4,
2,
4,
4,
1,
4,
2,
4,
3,
3,
1,
2,
3,
1,
1,
1,
1,
1,
2,
4,
4,
4,
6,
2,
4,
4,
2,
3,
3,
2,
1,
3,
3,
1,
1,
4,
5,
4,
4,
4,
4,
3,
4,
3,
6,
4,
4,
3,
2,
2,
2,
2,
4,
2,
4,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
4,
3,
4,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
3,
2,
3,
4,
2,
4,
4,
4,
3,
4,
4,
4,
4,
3,
2,
5,
2,
3,
3,
3,
3,
3,
3,
5,
4,
4,
2,
5,
2,
2,
2,
2,
3,
4,
2,
3,
2,
3,
2,
2,
3,
2,
8,
1,
3,
3,
5,
2,
3,
7,
1,
4,
2,
2,
2,
2,
3,
5,
3,
3,
3,
4,
4,
4,
2,
2,
4,
3,
2,
4,
3,
2,
2,
4,
2,
2,
4,
3,
3,
2,
3,
2,
2,
2,
4,
4,
2,
2,
5,
3,
2,
4,
2,
1,
2,
1,
1,
2,
1,
4,
4,
4,
2,
3,
5,
3,
4,
3,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
1,
4,
4,
4,
4,
4,
5,
2,
2,
4,
2,
2,
3,
2,
2,
2,
5,
4,
2,
3,
2,
4,
4,
2,
4,
3,
3,
2,
3,
3,
3,
4,
4,
3,
3,
5,
5,
6,
3,
3,
2,
3,
3,
3,
4,
2,
5,
2,
4,
4,
2,
3,
4,
6,
2,
2,
3,
2,
4,
2,
3,
5,
2,
4,
2,
3,
3,
5,
3,
3,
5,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
4,
4,
2,
2,
5,
3,
2,
2,
2,
2,
2,
3,
4,
3,
2,
3,
2,
1,
2,
2,
2,
2,
4,
2,
5,
3,
3,
2,
2,
2,
3,
5,
3,
3,
7,
2,
2,
2,
2,
4,
3,
4,
4,
4,
5,
6,
4,
2,
4,
2,
2,
3,
4,
3,
2,
2,
4,
2,
3,
3,
2,
3,
3,
2,
8,
5,
5,
5,
5,
5,
8,
4,
5,
2,
4,
4,
2,
2,
4,
2,
3,
2,
4,
2,
4,
3,
4,
6,
3,
4,
2,
2,
3,
2,
3,
3,
2,
2,
3,
1,
1,
2,
2,
4,
5,
2,
2,
2,
4,
2,
3,
4,
3,
3,
3,
3,
2,
2,
4,
2,
4,
3,
2,
2,
4,
6,
4,
4,
3,
4,
4,
6,
4,
4,
4,
4,
4,
3,
3,
3,
2,
4,
4,
4,
5,
3,
3,
3,
4,
4,
2,
4,
3,
5,
4,
3,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
4,
6,
4,
4,
2,
6,
6,
2,
5,
3,
7,
3,
3,
3,
4,
4,
4,
3,
5,
5,
4,
4,
3,
3,
2,
11,
4,
2,
2,
5,
4,
4,
3,
1,
5,
3,
5,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
3,
2,
4,
2,
4,
3,
2,
4,
4,
3,
6,
3,
4,
4,
2,
2,
3,
3,
2,
2,
1,
3,
4,
2,
2,
2,
3,
1,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
4,
3,
4,
4,
4,
3,
4,
5,
3,
3,
2,
4,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
4,
4,
3,
2,
2,
3,
2,
3,
3,
2,
2,
2,
4,
3,
3,
2,
3,
6,
4,
4,
3,
4,
2,
3,
1,
3,
3,
1,
2,
1,
5,
5,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
2,
3,
3,
3,
7,
3,
2,
3,
2,
3,
4,
1,
2,
2,
3,
2,
3,
2,
4,
3,
2,
5,
3,
3,
3,
6,
3,
6,
4,
4,
4,
4,
4,
3,
4,
4,
5,
3,
4,
3,
5,
4,
3,
2,
3,
4,
2,
1,
5,
4,
4,
4,
2,
2,
3,
4,
3,
3,
4,
2,
3,
2,
4,
4,
3,
5,
4,
4,
2,
4,
2,
3,
4,
5,
3,
3,
2,
2,
2,
3,
3,
2,
3,
2,
2,
3,
2,
5,
5,
3,
2,
3,
2,
4,
7,
4,
4,
4,
3,
4,
3,
4,
3,
5,
4,
4,
2,
4,
2,
2,
4,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
4,
4,
1,
4,
4,
3,
3,
3,
4,
4,
2,
4,
2,
3,
3,
2,
3,
3,
4,
3,
3,
4,
2,
2,
4,
2,
3,
2,
3,
4,
5,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
2,
4,
3,
3,
3,
3,
3,
4,
3,
3,
2,
3,
2,
2,
5,
4,
2,
2,
8,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
4,
4,
3,
5,
3,
3,
5,
3,
3,
2,
3,
4,
4,
4,
2,
3,
3,
2,
2,
3,
3,
3,
3,
4,
3,
4,
4,
3,
6,
2,
5,
2,
2,
2,
2,
6,
8,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
2,
5,
2,
4,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
4,
5,
4,
4,
3,
3,
2,
3,
2,
2,
2,
4,
3,
3,
4,
2,
4,
2,
3,
3,
4,
4,
4,
4,
4,
5,
4,
4,
2,
3,
3,
2,
2,
4,
3,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
5,
3,
4,
3,
3,
3,
4,
4,
4,
4,
3,
3,
3,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
5,
5,
5,
2,
5,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
5,
6,
5,
3,
5,
6,
6,
2,
3,
5,
3,
1,
4,
3,
4,
7,
3,
4,
2,
2,
1,
2,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
6,
2,
2,
2,
2,
2,
3,
3,
2,
6,
2,
3,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
4,
3,
4,
2,
4,
4,
2,
1,
4,
4,
3,
2,
2,
2,
5,
2,
2,
2,
3,
3,
2,
2,
3,
2,
2,
5,
4,
4,
4,
3,
3,
3,
5,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
5,
4,
4,
2,
4,
3,
3,
2,
2,
3,
2,
2,
3,
3,
2,
2,
2,
2,
4,
2,
2,
4,
2,
4,
2,
3,
2,
2,
1,
4,
4,
4,
2,
3,
5,
2,
2,
3,
2,
3,
3,
2,
2,
3,
4,
4,
4,
4,
3,
3,
2,
4,
4,
2,
4,
4,
4,
2,
4,
1,
1,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
9,
2,
4,
4,
2,
3,
4,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
1,
3,
3,
3,
3,
2,
3,
2,
2,
3,
2,
2,
2,
2,
4,
3,
4,
4,
4,
3,
3,
3,
2,
3,
2,
2,
2,
6,
2,
3,
3,
2,
2,
4,
3,
4,
4,
4,
2,
2,
4,
3,
3,
4,
3,
3,
3,
3,
2,
2,
6,
2,
2,
4,
3,
4,
2,
2,
2,
4,
3,
2,
3,
3,
3,
7,
2,
2,
2,
1,
2,
8,
5,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
3,
1,
4,
2,
2,
4,
2,
1,
1,
4,
4,
4,
4,
2,
2,
2,
4,
2,
1,
3,
2,
3,
2,
2,
4,
4,
4,
4,
3,
9,
4,
4,
4,
4,
3,
3,
4,
2,
3,
4,
1,
3,
2,
3,
3,
3,
4,
4,
3,
2,
4,
4,
2,
2,
3,
3,
3,
2,
3,
2,
2,
2,
3,
4,
4,
2,
2,
2,
3,
2,
4,
2,
3,
3,
3,
4,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
3,
2,
3,
6,
3,
6,
4,
3,
3,
3,
4,
3,
2,
2,
3,
2,
4,
2,
4,
2,
4,
4,
4,
4,
2,
2,
3,
3,
5,
2,
3,
4,
2,
4,
5,
3,
4,
4,
2,
2,
5,
3,
3,
4,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
3,
4,
3,
4,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
4,
5,
4,
2,
1,
3,
2,
2,
5,
4,
4,
4,
4,
4,
4,
2,
4,
2,
4,
2,
2,
2,
3,
6,
3,
2,
2,
8,
5,
3,
2,
3,
3,
2,
3,
2,
4,
3,
2,
2,
3,
3,
3,
3,
1,
4,
4,
4,
4,
4,
4,
4,
2,
6,
6,
4,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
3,
4,
3,
2,
3,
2,
3,
1,
1,
1,
6,
3,
3,
3,
3,
2,
4,
2,
4,
4,
2,
2,
2,
2,
4,
7,
4,
3,
4,
3,
2,
4,
2,
6,
2,
2,
2,
3,
3,
4,
6,
2,
2,
2,
4,
2,
2,
2,
3,
5,
8,
7,
5,
7,
2,
2,
3,
4,
4,
4,
4,
4,
2,
4,
2,
2,
3,
4,
4,
2,
5,
4,
5,
5,
4,
5,
5,
5,
2,
3,
2,
3,
3,
2,
6,
4,
4,
2,
3,
4,
2,
6,
4,
2,
3,
2,
2,
3,
6,
3,
3,
3,
2,
3,
3,
2,
3,
2,
2,
2,
3,
4,
3,
3,
3,
4,
4,
2,
2,
2,
3,
5,
4,
3,
3,
2,
2,
3,
3,
2,
3,
2,
3,
4,
2,
2,
3,
2,
4,
2,
5,
3,
3,
5,
4,
4,
3,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
2,
2,
1,
4,
2,
2,
4,
4,
2,
2,
6,
3,
2,
3,
3,
4,
4,
2,
2,
4,
2,
2,
4,
3,
4,
2,
5,
2,
3,
4,
3,
5,
1,
3,
2,
4,
3,
5,
2,
5,
3,
1,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
1,
2,
2,
3,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
4,
2,
2,
2,
3,
2,
5,
2,
2,
2,
4,
3,
2,
3,
2,
3,
5,
5,
4,
5,
5,
3,
2,
4,
6,
4,
4,
4,
3,
4,
1,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
3,
5,
3,
3,
3,
3,
3,
4,
3,
3,
2,
6,
2,
3,
2,
2,
2,
3,
4,
5,
4,
3,
2,
2,
2,
2,
8,
2,
7,
2,
2,
2,
2,
4,
2,
2,
3,
3,
2,
2,
2,
3,
2,
3,
1,
1,
2,
1,
1,
6,
4,
3,
5,
2,
3,
4,
3,
2,
2,
3,
2,
2,
4,
3,
2,
4,
3,
2,
3,
2,
3,
2,
2,
3,
3,
2,
2,
3,
1,
3,
4,
2,
2,
4,
2,
3,
4,
3,
4,
3,
2,
2,
3,
4,
2,
5,
2,
3,
3,
2,
5,
4,
2,
2,
3,
3,
3,
3,
4,
3,
2,
4,
4,
4,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
4,
5,
4,
4,
3,
5,
3,
2,
5,
3,
3,
2,
2,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
4,
4,
6,
4,
2,
5,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
2,
2,
2,
3,
4,
2,
3,
2,
2,
4,
4,
3,
3,
2,
5,
2,
4,
5,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
5,
2,
3,
3,
1,
2,
3,
3,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
4,
3,
4,
2,
2,
4,
2,
2,
2,
2,
5,
2,
7,
3,
8,
2,
3,
3,
3,
4,
3,
3,
5,
4,
7,
3,
3,
3,
2,
3,
2,
2,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
2,
1,
1,
3,
3,
1,
2,
1,
3,
1,
4,
2,
1,
3,
3,
5,
3,
6,
3,
6,
6,
6,
6,
7,
7,
2,
3,
2,
2,
4,
4,
2,
2,
5,
2,
2,
2,
2,
4,
4,
3,
3,
3,
3,
2,
4,
5,
4,
4,
4,
1,
2,
3,
3,
5,
2,
4,
1,
6,
3,
2,
2,
3,
3,
3,
4,
4,
3,
4,
4,
4,
3,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
5,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
3,
3,
2,
4,
4,
6,
4,
5,
2,
3,
4,
2,
4,
4,
3,
4,
5,
6,
3,
7,
5,
7,
3,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
3,
5,
3,
2,
5,
3,
2,
2,
2,
1,
2,
2,
3,
2,
4,
2,
3,
4,
2,
3,
4,
4,
4,
4,
1,
2,
4,
3,
3,
3,
3,
2,
5,
4,
2,
2,
2,
4,
2,
4,
4,
2,
4,
3,
4,
2,
5,
4,
4,
4,
2,
2,
4,
2,
2,
4,
2,
2,
5,
4,
1,
1,
3,
5,
6,
3,
4,
2,
3,
3,
2,
3,
2,
2,
3,
2,
6,
4,
4,
4,
3,
2,
3,
2,
2,
2,
2,
4,
2,
4,
2,
2,
2,
2,
4,
5,
3,
2,
4,
4,
5,
3,
4,
3,
3,
7,
3,
3,
2,
3,
3,
2,
4,
2,
4,
3,
3,
3,
2,
2,
4,
4,
4,
2,
1,
4,
4,
3,
3,
3,
3,
3,
2,
1,
4,
2,
5,
1,
2,
2,
3,
3,
2,
4,
2,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
4,
4,
2,
2,
3,
2,
3,
3,
2,
3,
4,
4,
4,
4,
4,
2,
2,
4,
4,
3,
2,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
5,
2,
2,
2,
4,
4,
4,
2,
2,
2,
3,
2,
5,
3,
2,
2,
2,
4,
2,
4,
4,
3,
2,
2,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
4,
2,
4,
4,
4,
4,
3,
6,
2,
5,
4,
3,
3,
5,
3,
5,
2,
2,
4,
4,
2,
4,
4,
4,
3,
2,
2,
2,
4,
3,
5,
3,
3,
3,
2,
3,
3,
5,
5,
5,
4,
4,
2,
3,
1,
2,
4,
4,
3,
4,
4,
2,
4,
4,
2,
5,
4,
4,
4,
3,
6,
4,
4,
6,
4,
3,
2,
3,
3,
3,
3,
5,
3,
2,
3,
2,
2,
2,
2,
4,
6,
3,
2,
2,
2,
4,
6,
3,
4,
4,
2,
3,
2,
3,
3,
2,
3,
5,
3,
3,
3,
3,
5,
4,
3,
2,
2,
3,
2,
2,
1,
2,
3,
2,
2,
2,
5,
2,
2,
2,
2,
4,
2,
2,
1,
4,
3,
4,
4,
2,
5,
2,
2,
2,
2,
6,
4,
5,
4,
3,
2,
2,
4,
2,
2,
4,
2,
3,
3,
4,
3,
3,
3,
2,
3,
3,
1,
8,
2,
2,
4,
2,
2,
4,
2,
4,
2,
3,
2,
6,
4,
4,
4,
2,
2,
2,
4,
3,
4,
3,
3,
3,
5,
2,
2,
4,
2,
4,
3,
3,
2,
4,
3,
2,
1,
2,
2,
1,
3,
6,
3,
3,
5,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
1,
3,
2,
4,
4,
3,
4,
3,
4,
4,
3,
5,
5,
5,
5,
5,
5,
5,
2,
4,
2,
2,
4,
2,
4,
2,
2,
2,
3,
2,
3,
3,
2,
2,
3,
2,
4,
2,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
1,
1,
2,
3,
2,
5,
6,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
5,
9,
3,
6,
3,
2,
6,
6,
3,
3,
4,
5,
4,
3,
2,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
4,
3,
8,
4,
5,
3,
2,
4,
3,
6,
6,
5,
4,
2,
2,
3,
2,
3,
1,
2,
4,
4,
4,
4,
3,
2,
2,
2,
3,
3,
1,
4,
4,
6,
6,
6,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
2,
2,
4,
4,
3,
3,
4,
2,
2,
2,
4,
2,
2,
3,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
5,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
4,
3,
3,
3,
4,
2,
2,
2,
2,
3,
4,
2,
1,
2,
2,
3,
3,
2,
2,
4,
5,
3,
2,
4,
2,
3,
2,
3,
2,
2,
3,
3,
3,
2,
4,
3,
4,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
5,
2,
2,
3,
4,
2,
2,
3,
3,
3,
3,
3,
5,
3,
4,
4,
3,
4,
2,
2,
3,
3,
2,
4,
3,
4,
2,
4,
4,
5,
5,
4,
5,
4,
2,
4,
4,
2,
2,
5,
5,
4,
3,
5,
4,
4,
3,
3,
4,
5,
5,
4,
3,
3,
2,
3,
4,
2,
4,
4,
4,
2,
3,
3,
4,
4,
2,
1,
3,
3,
3,
3,
2,
4,
3,
4,
3,
2,
2,
2,
3,
5,
4,
2,
3,
3,
4,
2,
4,
4,
4,
2,
2,
1,
3,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
2,
3,
4,
2,
5,
4,
3,
2,
2,
4,
3,
3,
2,
5,
3,
4,
5,
2,
4,
3,
3,
4,
3,
4,
3,
4,
2,
6,
6,
6,
2,
4,
2,
6,
5,
6,
3,
4,
2,
1,
2,
3,
1,
4,
3,
4,
2,
2,
4,
2,
2,
2,
2,
2,
5,
5,
4,
3,
4,
5,
6,
7,
3,
4,
2,
2,
4,
4,
2,
2,
2,
4,
2,
2,
3,
3,
4,
3,
4,
4,
2,
3,
2,
3,
4,
2,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
5,
2,
2,
2,
3,
3,
6,
4,
2,
3,
4,
4,
4,
4,
5,
2,
4,
4,
4,
4,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
4,
4,
2,
2,
2,
4,
3,
3,
3,
3,
4,
4,
4,
9,
3,
2,
3,
2,
2,
2,
4,
3,
2,
2,
6,
5,
4,
3,
5,
4,
3,
2,
2,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
3,
2,
3,
2,
2,
2,
4,
3,
5,
5,
3,
3,
4,
4,
2,
2,
4,
2,
3,
3,
2,
4,
5,
4,
4,
6,
4,
4,
4,
4,
4,
4,
5,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
4,
3,
2,
2,
2,
4,
3,
3,
1,
2,
5,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
5,
3,
4,
5,
3,
4,
3,
3,
3,
3,
3,
3,
4,
2,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
5,
4,
4,
2,
4,
6,
3,
2,
2,
6,
6,
2,
2,
4,
5,
4,
4,
2,
3,
4,
2,
4,
3,
3,
3,
3,
2,
2,
4,
3,
3,
5,
3,
8,
5,
3,
2,
2,
4,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
4,
2,
2,
2,
3,
3,
3,
3,
4,
4,
2,
2,
2,
4,
4,
4,
4,
2,
1,
3,
3,
6,
3,
4,
4,
3,
3,
3,
2,
2,
3,
5,
5,
2,
3,
4,
4,
4,
4,
4,
4,
4,
6,
4,
4,
4,
4,
2,
2,
4,
2,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
1,
5,
2,
2,
4,
4,
2,
5,
7,
5,
2,
2,
4,
2,
5,
2,
4,
6,
3,
3,
3,
2,
3,
4,
4,
4,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
5,
2,
5,
2,
6,
3,
3,
2,
4,
4,
5,
4,
2,
6,
3,
4,
5,
2,
2,
2,
2,
3,
3,
3,
1,
1,
1,
3,
2,
2,
2,
2,
1,
2,
3,
5,
4,
2,
2,
4,
2,
5,
4,
6,
2,
5,
3,
4,
3,
4,
7,
4,
5,
3,
2,
3,
2,
2,
4,
2,
3,
5,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
2,
2,
2,
3,
2,
3,
4,
4,
2,
2,
4,
3,
1,
7,
3,
2,
3,
2,
4,
3,
2,
4,
2,
2,
3,
6,
3,
4,
2,
3,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
5,
3,
5,
4,
2,
8,
3,
3,
2,
2,
2,
3,
2,
2,
2,
5,
4,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
2,
4,
2,
3,
3,
4,
4,
4,
5,
3,
4,
2,
2,
2,
2,
4,
3,
4,
4,
2,
4,
4,
5,
3,
5,
2,
3,
1,
6,
2,
3,
4,
4,
2,
6,
3,
3,
5,
2,
2,
2,
2,
1,
3,
2,
4,
2,
4,
2,
2,
2,
4,
4,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
4,
2,
4,
4,
4,
3,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
6,
4,
4,
4,
6,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
3,
4,
3,
6,
5,
2,
3,
4,
2,
2,
4,
2,
4,
2,
2,
2,
4,
2,
5,
4,
6,
4,
5,
3,
4,
3,
3,
3,
2,
2,
2,
2,
2,
3,
5,
2,
4,
2,
4,
4,
4,
2,
2,
3,
2,
2,
3,
2,
2,
5,
2,
4,
2,
2,
4,
8,
8,
4,
3,
3,
3,
3,
3,
3,
3,
3,
6,
5,
5,
4,
2,
3,
5,
4,
3,
2,
2,
2,
2,
3,
5,
3,
3,
2,
2,
3,
3,
3,
2,
3,
3,
4,
4,
4,
4,
2,
3,
2,
5,
7,
4,
2,
2,
2,
3,
1,
2,
3,
2,
2,
2,
3,
3,
3,
5,
3,
2,
4,
3,
2,
4,
2,
4,
2,
4,
4,
4,
2,
4,
3,
4,
2,
2,
4,
7,
7,
2,
4,
2,
2,
3,
2,
4,
6,
3,
2,
4,
4,
4,
4,
3,
4,
2,
2,
3,
3,
3,
3,
4,
3,
4,
2,
3,
2,
3,
1,
4,
2,
4,
2,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
2,
2,
2,
4,
2,
4,
2,
6,
3,
4,
2,
2,
4,
4,
5,
4,
4,
4,
4,
3,
4,
5,
1,
2,
4,
2,
2,
2,
4,
5,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
5,
3,
3,
2,
3,
5,
2,
2,
3,
2,
2,
3,
2,
3,
2,
2,
2,
2,
3,
2,
2,
4,
4,
3,
2,
2,
3,
3,
2,
1,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
5,
4,
7,
2,
3,
4,
4,
2,
3,
2,
4,
4,
2,
1,
4,
4,
3,
5,
5,
4,
2,
2,
5,
2,
2,
4,
2,
1,
2,
2,
2,
4,
2,
3,
4,
4,
3,
2,
2,
2,
1,
2,
3,
2,
4,
3,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
5,
3,
2,
2,
2,
5,
2,
2,
4,
6,
3,
5,
3,
3,
3,
3,
2,
5,
2,
3,
2,
3,
3,
2,
5,
2,
4,
4,
4,
2,
2,
4,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
3,
2,
3,
2,
2,
4,
2,
3,
3,
4,
1,
3,
4,
5,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
5,
4,
3,
2,
2,
2,
2,
3,
4,
2,
4,
3,
4,
4,
4,
3,
3,
5,
5,
8,
6,
3,
3,
3,
3,
4,
3,
2,
2,
5,
5,
4,
5,
2,
2,
4,
3,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
6,
3,
4,
5,
4,
1,
5,
4,
5,
6,
3,
5,
3,
2,
2,
2,
2,
3,
4,
3,
4,
2,
3,
4,
2,
4,
2,
4,
4,
4,
3,
3,
2,
4,
4,
4,
2,
4,
1,
1,
4,
4,
2,
4,
2,
2,
3,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
7,
5,
3,
6,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
3,
5,
4,
2,
4,
2,
2,
4,
4,
5,
5,
3,
5,
2,
2,
2,
3,
2,
2,
3,
3,
2,
3,
2,
3,
4,
2,
4,
2,
2,
1,
3,
4,
4,
3,
3,
3,
3,
2,
3,
2,
4,
2,
2,
4,
4,
7,
4,
3,
4,
3,
4,
7,
2,
4,
2,
3,
2,
3,
2,
1,
2,
2,
2,
2,
7,
4,
5,
2,
3,
3,
3,
3,
4,
4,
5,
4,
4,
4,
5,
3,
7,
4,
5,
2,
4,
2,
3,
5,
2,
4,
4,
2,
2,
4,
2,
2,
4,
2,
3,
2,
3,
2,
3,
2,
2,
3,
2,
4,
4,
2,
4,
2,
2,
2,
2,
4,
2,
2,
4,
3,
2,
3,
2,
3,
3,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
5,
5,
5,
4,
5,
6,
3,
4,
3,
2,
3,
3,
2,
4,
4,
2,
2,
4,
2,
2,
1,
1,
2,
4,
1,
2,
2,
1,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
4,
4,
4,
3,
3,
4,
4,
2,
4,
4,
2,
4,
4,
3,
3,
3,
3,
2,
2,
2,
5,
4,
2,
4,
5,
2,
2,
3,
2,
2,
3,
4,
7,
4,
2,
2,
2,
3,
2,
2,
1,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
3,
4,
3,
3,
2,
3,
3,
3,
2,
2,
4,
2,
4,
2,
3,
3,
3,
2,
2,
4,
3,
4,
7,
4,
4,
2,
2,
3,
2,
5,
2,
2,
5,
4,
6,
6,
2,
2,
3,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
3,
4,
4,
2,
4,
3,
2,
2,
5,
4,
5,
5,
3,
3,
1,
1,
2,
2,
3,
3,
2,
2,
2,
2,
1,
2,
1,
2,
3,
3,
3,
3,
3,
4,
2,
4,
4,
2,
4,
5,
5,
4,
2,
4,
4,
2,
2,
4,
2,
2,
4,
2,
4,
4,
4,
2,
2,
4,
2,
2,
4,
2,
2,
2,
2,
1,
3,
2,
4,
4,
2,
2,
6,
2,
4,
2,
2,
3,
3,
3,
4,
4,
3,
4,
3,
3,
3,
3,
2,
4,
3,
3,
2,
4,
4,
3,
3,
2,
3,
3,
2,
3,
4,
4,
2,
4,
2,
2,
1,
2,
2,
3,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
1,
5,
4,
3,
2,
4,
4,
2,
4,
6,
3,
2,
3,
2,
3,
3,
4,
3,
3,
6,
3,
3,
4,
3,
2,
4,
7,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
6,
2,
5,
4,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
2,
2,
2,
2,
2,
3,
1,
2,
3,
2,
4,
2,
2,
4,
4,
4,
5,
2,
3,
2,
3,
5,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
3,
4,
2,
5,
2,
2,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
1,
4,
5,
4,
4,
3,
4,
4,
4,
2,
2,
2,
4,
4,
2,
4,
4,
4,
5,
4,
4,
3,
4,
4,
2,
3,
2,
2,
6,
3,
5,
4,
4,
3,
3,
4,
4,
4,
4,
5,
4,
2,
5,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
3,
2,
4,
2,
2,
2,
3,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
3,
2,
2,
2,
4,
4,
4,
3,
2,
2,
4,
2,
4,
2,
2,
3,
2,
6,
2,
2,
3,
2,
3,
1,
2,
5,
5,
1,
2,
5,
4,
3,
1,
3,
6,
2,
2,
4,
7,
3,
5,
4,
4,
4,
6,
6,
4,
4,
8,
4,
3,
2,
2,
3,
2,
3,
2,
2,
2,
3,
6,
8,
4,
2,
2,
8,
3,
6,
5,
4,
4,
2,
4,
2,
3,
1,
4,
2,
2,
4,
3,
2,
2,
4,
5,
2,
3,
4,
2,
4,
4,
3,
2,
2,
3,
2,
2,
1,
4,
3,
4,
4,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
6,
4,
3,
2,
2,
3,
2,
2,
2,
3,
3,
2,
3,
2,
2,
2,
3,
5,
4,
2,
2,
2,
3,
3,
2,
2,
3,
2,
2,
2,
2,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
4,
2,
4,
3,
3,
3,
5,
4,
4,
2,
5,
3,
3,
6,
3,
3,
4,
3,
2,
3,
3,
2,
1,
3,
3,
3,
3,
2,
4,
2,
3,
3,
2,
2,
3,
4,
4,
4,
3,
2,
4,
2,
2,
2,
1,
4,
2,
2,
3,
2,
2,
3,
2,
3,
3,
5,
2,
1,
4,
4,
4,
5,
3,
3,
4,
4,
3,
3,
3,
3,
4,
2,
4,
2,
2,
7,
2,
2,
1,
2,
3,
3,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
1,
2,
2,
1,
7,
2,
2,
2,
2,
1,
2,
3,
3,
4,
2,
3,
2,
2,
3,
3,
2,
2,
2,
3,
5,
4,
2,
1,
4,
4,
4,
4,
2,
3,
3,
2,
3,
3,
3,
3,
1,
3,
2,
3,
3,
3,
5,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
5,
3,
2,
2,
2,
2,
2,
4,
2,
2,
4,
3,
2,
4,
4,
4,
4,
4,
5,
4,
5,
3,
4,
1,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
2,
3,
3,
1,
2,
3,
2,
3,
1,
4,
2,
5,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
3,
4,
2,
4,
3,
3,
10,
4,
4,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
3,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
4,
2,
3,
2,
4,
4,
5,
5,
4,
4,
2,
4,
4,
3,
3,
2,
4,
3,
3,
3,
3,
2,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
1,
2,
4,
2,
2,
2,
4,
2,
3,
3,
5,
3,
3,
3,
3,
3,
4,
2,
2,
2,
3,
4,
3,
3,
4,
2,
3,
4,
3,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
3,
3,
4,
2,
3,
3,
3,
3,
2,
3,
3,
3,
2,
3,
3,
2,
2,
3,
4,
2,
3,
3,
3,
3,
3,
4,
5,
3,
4,
3,
4,
2,
2,
1,
1,
1,
4,
2,
4,
3,
3,
4,
3,
2,
2,
3,
4,
1,
2,
4,
2,
2,
3,
3,
4,
3,
4,
4,
2,
2,
2,
4,
3,
3,
3,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
2,
5,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
3,
3,
2,
4,
4,
3,
3,
3,
4,
3,
3,
3,
4,
3,
2,
1,
2,
4,
2,
3,
4,
4,
3,
3,
6,
3,
3,
3,
3,
6,
3,
2,
3,
2,
3,
2,
2,
4,
4,
2,
2,
6,
4,
2,
3,
4,
6,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
5,
4,
4,
4,
8,
4,
4,
3,
4,
4,
2,
2,
4,
4,
4,
2,
2,
2,
4,
5,
3,
2,
2,
3,
3,
3,
4,
2,
3,
3,
2,
8,
3,
4,
2,
2,
2,
1,
3,
4,
4,
4,
2,
2,
4,
4,
4,
4,
2,
5,
3,
3,
5,
6,
3,
4,
2,
2,
2,
4,
3,
2,
2,
4,
4,
2,
5,
4,
4,
4,
4,
3,
2,
2,
3,
3,
2,
3,
4,
4,
3,
4,
4,
3,
3,
3,
4,
2,
4,
4,
2,
4,
2,
8,
4,
2,
4,
2,
2,
1,
2,
3,
6,
3,
3,
5,
3,
4,
3,
2,
3,
2,
3,
2,
4,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
5,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
4,
5,
4,
3,
3,
2,
3,
3,
3,
3,
4,
6,
4,
3,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
1,
2,
2,
1,
3,
4,
2,
2,
3,
4,
4,
4,
3,
4,
3,
6,
3,
6,
4,
3,
2,
2,
2,
2,
2,
3,
2,
4,
3,
2,
6,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
4,
3,
3,
3,
2,
3,
2,
4,
3,
3,
2,
2,
2,
2,
3,
2,
2,
4,
4,
4,
2,
2,
2,
4,
1,
2,
3,
3,
3,
2,
2,
4,
2,
2,
6,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
6,
3,
3,
2,
3,
3,
5,
4,
4,
2,
2,
2,
4,
4,
4,
4,
3,
3,
2,
3,
2,
4,
4,
2,
4,
4,
4,
12,
6,
5,
3,
1,
6,
7,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
2,
3,
4,
3,
2,
4,
2,
3,
4,
2,
2,
2,
2,
2,
3,
6,
4,
3,
4,
3,
2,
3,
3,
2,
2,
5,
2,
2,
3,
2,
3,
2,
2,
4,
3,
1,
2,
3,
2,
3,
3,
4,
4,
4,
4,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
2,
4,
4,
5,
5,
3,
4,
2,
2,
3,
3,
3,
3,
3,
5,
4,
4,
2,
3,
4,
4,
4,
2,
2,
2,
2,
4,
4,
3,
4,
4,
3,
4,
3,
5,
3,
3,
5,
3,
3,
3,
2,
2,
2,
5,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
2,
4,
2,
4,
2,
3,
3,
4,
2,
6,
4,
2,
2,
3,
2,
2,
4,
3,
4,
4,
6,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
1,
2,
2,
2,
3,
2,
2,
3,
3,
2,
4,
4,
2,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
4,
2,
3,
3,
2,
2,
3,
4,
4,
3,
3,
4,
1,
4,
3,
3,
4,
4,
4,
3,
4,
5,
6,
5,
2,
4,
4,
2,
2,
4,
5,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
4,
2,
2,
2,
7,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
2,
4,
2,
2,
2,
3,
3,
3,
2,
4,
3,
3,
2,
4,
2,
3,
2,
3,
3,
3,
2,
4,
3,
2,
3,
2,
3,
4,
4,
2,
2,
2,
2,
2,
4,
7,
4,
4,
2,
2,
2,
2,
5,
5,
1,
3,
3,
2,
4,
2,
2,
6,
4,
4,
3,
4,
1,
3,
2,
4,
2,
3,
4,
3,
2,
2,
6,
1,
1,
1,
1,
1,
1,
2,
2,
1,
4,
2,
4,
4,
4,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
12,
2,
4,
3,
2,
5,
3,
2,
2,
2,
4,
4,
3,
4,
5,
3,
2,
3,
2,
4,
4,
2,
4,
2,
8,
4,
3,
3,
2,
4,
4,
4,
4,
3,
2,
2,
4,
4,
4,
3,
4,
4,
2,
3,
3,
2,
4,
4,
3,
4,
2,
4,
3,
4,
2,
3,
3,
2,
2,
4,
3,
3,
5,
5,
5,
2,
4,
2,
2,
2,
2,
5,
4,
4,
3,
3,
3,
3,
4,
5,
3,
3,
3,
3,
5,
2,
4,
4,
4,
3,
7,
2,
4,
5,
2,
4,
2,
4,
4,
4,
4,
5,
2,
2,
2,
4,
1,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
2,
2,
2,
3,
3,
2,
2,
1,
4,
3,
2,
4,
4,
3,
5,
3,
6,
4,
4,
2,
2,
4,
5,
5,
2,
5,
4,
2,
2,
3,
2,
3,
3,
2,
2,
1,
1,
2,
3,
3,
4,
2,
5,
4,
4,
4,
5,
3,
6,
2,
2,
6,
3,
8,
3,
3,
2,
2,
4,
3,
4,
4,
2,
4,
5,
3,
6,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
4,
5,
4,
5,
4,
8,
2,
2,
3,
2,
4,
2,
2,
2,
2,
4,
2,
3,
2,
2,
4,
4,
2,
5,
4,
5,
3,
3,
5,
3,
3,
3,
2,
4,
2,
4,
2,
4,
4,
4,
4,
4,
5,
5,
4,
4,
5,
4,
3,
5,
5,
3,
3,
2,
3,
2,
2,
2,
2,
4,
4,
3,
4,
4,
3,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
6,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
3,
2,
5,
2,
5,
2,
3,
3,
3,
4,
5,
6,
2,
2,
3,
3,
3,
3,
3,
4,
4,
3,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
3,
2,
3,
5,
1,
3,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
6,
4,
3,
4,
4,
3,
4,
4,
3,
3,
6,
2,
2,
3,
4,
6,
2,
5,
3,
3,
3,
2,
5,
2,
4,
4,
3,
7,
3,
4,
4,
2,
2,
3,
3,
3,
4,
3,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
6,
5,
5,
5,
3,
4,
4,
4,
3,
3,
4,
3,
3,
7,
4,
4,
4,
4,
2,
3,
4,
2,
4,
4,
2,
4,
4,
3,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
1,
4,
4,
2,
2,
2,
3,
3,
3,
4,
2,
3,
2,
4,
2,
3,
3,
4,
2,
3,
2,
3,
2,
3,
3,
4,
4,
4,
4,
4,
2,
4,
3,
2,
2,
4,
4,
4,
4,
3,
3,
3,
6,
2,
3,
2,
2,
4,
3,
3,
2,
2,
5,
3,
2,
4,
2,
2,
3,
3,
2,
5,
2,
4,
5,
2,
2,
2,
2,
1,
2,
3,
3,
2,
2,
2,
2,
3,
3,
4,
3,
3,
3,
4,
4,
2,
4,
3,
3,
4,
4,
3,
2,
2,
3,
2,
2,
2,
2,
3,
3,
4,
3,
3,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
4,
2,
3,
4,
4,
4,
4,
4,
4,
2,
4,
6,
4,
3,
2,
4,
3,
2,
2,
2,
2,
2,
5,
5,
4,
4,
4,
4,
3,
4,
4,
3,
2,
3,
3,
3,
3,
3,
4,
2,
2,
5,
6,
6,
2,
5,
4,
4,
4,
5,
4,
4,
2,
4,
3,
3,
3,
3,
3,
2,
4,
3,
3,
2,
3,
3,
3,
2,
6,
4,
6,
8,
7,
2,
3,
4,
4,
4,
4,
2,
4,
5,
5,
4,
4,
4,
3,
3,
4,
2,
5,
7,
4,
4,
5,
5,
4,
2,
2,
4,
4,
4,
2,
3,
2,
1,
2,
2,
2,
4,
4,
4,
2,
5,
2,
3,
3,
2,
2,
2,
4,
2,
2,
2,
3,
4,
2,
2,
2,
2,
4,
3,
2,
2,
4,
2,
4,
3,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
6,
6,
2,
2,
2,
1,
2,
2,
2,
2,
3,
2,
2,
4,
5,
4,
4,
4,
2,
3,
5,
4,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
5,
3,
2,
3,
2,
4,
3,
4,
3,
4,
3,
2,
2,
3,
4,
3,
2,
2,
2,
6,
4,
3,
2,
4,
3,
3,
2,
2,
3,
5,
2,
3,
3,
1,
3,
4,
6,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
4,
5,
4,
3,
4,
4,
4,
2,
2,
4,
3,
3,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
5,
3,
3,
3,
2,
2,
2,
4,
4,
5,
2,
2,
4,
3,
5,
6,
2,
2,
3,
3,
2,
3,
2,
2,
3,
3,
4,
3,
2,
5,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
5,
4,
2,
4,
3,
2,
3,
7,
4,
2,
4,
4,
4,
2,
3,
4,
4,
4,
2,
4,
3,
2,
4,
4,
4,
3,
2,
4,
4,
4,
2,
4,
2,
4,
2,
2,
2,
3,
2,
3,
2,
3,
4,
2,
2,
2,
3,
4,
2,
3,
2,
2,
2,
1,
2,
3,
3,
4,
2,
4,
4,
4,
2,
4,
4,
2,
3,
3,
5,
3,
2,
4,
5,
2,
2,
2,
4,
2,
3,
3,
4,
3,
2,
2,
3,
3,
2,
3,
3,
4,
4,
4,
5,
2,
5,
3,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
5,
5,
2,
3,
2,
2,
3,
3,
2,
4,
2,
4,
4,
4,
2,
4,
5,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
5,
4,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
3,
4,
2,
4,
4,
3,
4,
1,
4,
4,
5,
5,
4,
3,
4,
4,
4,
6,
3,
3,
4,
4,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
5,
2,
2,
4,
5,
2,
5,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
3,
2,
2,
3,
4,
2,
3,
2,
3,
4,
4,
3,
5,
8,
7,
6,
6,
3,
4,
4,
4,
3,
4,
4,
2,
4,
4,
5,
3,
2,
3,
3,
2,
3,
2,
2,
3,
3,
2,
2,
3,
3,
3,
2,
5,
3,
6,
2,
2,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
2,
4,
4,
3,
4,
3,
7,
2,
3,
2,
3,
2,
2,
4,
2,
4,
4,
3,
2,
5,
5,
2,
3,
2,
4,
3,
4,
3,
3,
2,
4,
6,
4,
2,
2,
2,
4,
4,
2,
3,
2,
4,
2,
3,
2,
2,
4,
2,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
4,
2,
3,
2,
4,
3,
3,
3,
3,
1,
2,
2,
3,
4,
4,
4,
4,
3,
4,
5,
3,
5,
4,
5,
4,
5,
2,
3,
3,
2,
2,
4,
2,
4,
3,
3,
3,
3,
4,
4,
2,
3,
4,
2,
4,
3,
5,
2,
4,
2,
3,
2,
2,
3,
5,
3,
4,
3,
3,
3,
3,
2,
5,
2,
3,
3,
4,
3,
3,
6,
3,
3,
3,
3,
2,
4,
4,
2,
2,
2,
3,
2,
4,
3,
4,
1,
4,
4,
4,
3,
2,
3,
3,
4,
4,
3,
3,
6,
1,
4,
2,
2,
2,
3,
7,
3,
3,
4,
2,
5,
5,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
6,
2,
2,
2,
2,
2,
1,
1,
3,
3,
2,
2,
2,
4,
2,
3,
4,
5,
3,
3,
2,
5,
2,
3,
3,
3,
2,
3,
5,
3,
4,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
4,
2,
2,
2,
2,
4,
3,
4,
4,
4,
4,
2,
4,
1,
1,
2,
3,
3,
2,
2,
4,
3,
3,
3,
2,
4,
2,
4,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
2,
4,
2,
4,
3,
3,
2,
2,
3,
4,
3,
2,
3,
4,
2,
3,
4,
3,
2,
2,
4,
4,
2,
3,
4,
4,
4,
4,
2,
3,
4,
4,
2,
3,
4,
2,
4,
5,
5,
4,
4,
3,
5,
5,
4,
3,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
7,
4,
2,
2,
4,
2,
3,
6,
6,
2,
2,
4,
3,
6,
3,
4,
2,
2,
2,
4,
3,
4,
4,
1,
3,
2,
3,
2,
3,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
3,
2,
4,
4,
2,
4,
4,
5,
6,
3,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
3,
1,
3,
4,
4,
6,
4,
2,
2,
3,
2,
6,
6,
4,
3,
2,
3,
3,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
5,
3,
3,
2,
2,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
6,
3,
3,
5,
4,
2,
2,
3,
2,
3,
2,
6,
3,
4,
3,
6,
3,
6,
5,
3,
4,
3,
3,
3,
4,
4,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
4,
2,
2,
2,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
2,
2,
3,
2,
4,
4,
5,
5,
4,
2,
2,
5,
4,
4,
2,
3,
5,
4,
2,
3,
3,
3,
3,
3,
4,
3,
3,
2,
2,
4,
4,
2,
3,
2,
3,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
1,
2,
3,
2,
4,
4,
4,
2,
4,
4,
4,
3,
3,
2,
3,
5,
4,
2,
3,
4,
3,
3,
4,
3,
2,
4,
4,
4,
7,
3,
4,
4,
4,
3,
4,
2,
6,
6,
2,
2,
3,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
4,
3,
2,
4,
3,
4,
5,
4,
2,
3,
1,
4,
3,
4,
3,
4,
3,
4,
2,
3,
2,
3,
2,
3,
3,
4,
4,
3,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
2,
2,
3,
2,
3,
3,
2,
3,
2,
2,
4,
2,
2,
2,
4,
3,
4,
4,
2,
3,
4,
4,
2,
2,
2,
3,
2,
6,
2,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
2,
2,
4,
2,
2,
2,
3,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
5,
4,
2,
2,
3,
2,
4,
4,
2,
2,
2,
4,
4,
4,
5,
3,
6,
3,
3,
3,
3,
3,
3,
1,
3,
2,
2,
3,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
3,
2,
3,
4,
4,
4,
5,
4,
5,
4,
5,
4,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
4,
3,
2,
4,
3,
3,
3,
2,
2,
4,
2,
3,
3,
4,
3,
3,
5,
2,
4,
4,
2,
2,
2,
2,
2,
3,
2,
4,
4,
2,
2,
2,
3,
3,
4,
3,
2,
3,
3,
2,
3,
5,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
3,
2,
4,
2,
2,
4,
2,
2,
3,
3,
7,
2,
2,
2,
2,
4,
2,
2,
2,
5,
3,
4,
2,
2,
3,
2,
5,
3,
2,
2,
2,
2,
4,
4,
5,
3,
2,
2,
2,
2,
2,
6,
3,
3,
5,
3,
3,
2,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
6,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
1,
2,
2,
2,
4,
4,
2,
2,
4,
3,
4,
4,
2,
2,
2,
2,
2,
3,
4,
4,
5,
2,
2,
3,
3,
4,
3,
4,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
3,
4,
2,
5,
2,
4,
2,
6,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
1,
3,
2,
4,
5,
4,
4,
4,
4,
2,
2,
2,
3,
2,
4,
4,
5,
4,
2,
3,
3,
3,
3,
2,
2,
2,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
4,
5,
4,
6,
3,
3,
3,
2,
2,
5,
3,
2,
2,
2,
5,
2,
5,
3,
4,
4,
5,
3,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
5,
2,
4,
3,
4,
2,
5,
4,
4,
4,
4,
4,
8,
2,
2,
4,
2,
4,
2,
2,
2,
4,
3,
2,
2,
2,
6,
2,
5,
3,
4,
4,
6,
3,
3,
3,
6,
6,
6,
4,
4,
3,
3,
2,
3,
2,
2,
4,
6,
2,
2,
6,
2,
3,
3,
4,
2,
2,
2,
4,
3,
4,
3,
4,
5,
2,
3,
2,
2,
3,
4,
3,
2,
1,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
5,
3,
4,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
3,
5,
5,
4,
2,
6,
4,
7,
3,
2,
3,
2,
2,
2,
2,
3,
3,
4,
3,
2,
2,
4,
2,
4,
2,
2,
2,
3,
4,
3,
2,
3,
2,
2,
2,
2,
1,
2,
2,
3,
2,
4,
4,
2,
2,
4,
2,
3,
3,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
4,
1,
2,
2,
4,
4,
7,
2,
4,
4,
2,
2,
4,
4,
4,
3,
4,
2,
4,
5,
4,
4,
3,
5,
3,
3,
4,
4,
3,
3,
2,
6,
1,
1,
2,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
3,
2,
4,
4,
3,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
2,
4,
3,
6,
3,
4,
5,
5,
4,
3,
4,
3,
3,
5,
2,
3,
4,
2,
4,
4,
2,
4,
6,
3,
3,
5,
4,
4,
3,
4,
4,
2,
2,
3,
4,
3,
4,
3,
6,
5,
5,
4,
3,
5,
2,
2,
4,
3,
2,
3,
8,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
5,
3,
4,
2,
4,
3,
5,
4,
3,
2,
2,
2,
3,
2,
2,
5,
3,
2,
2,
2,
2,
2,
3,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
1,
4,
3,
3,
3,
3,
4,
2,
4,
2,
2,
2,
3,
3,
6,
3,
5,
5,
3,
4,
3,
4,
3,
3,
2,
3,
5,
2,
1,
2,
5,
3,
4,
4,
6,
2,
4,
4,
4,
4,
4,
4,
5,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
1,
2,
2,
1,
2,
1,
2,
3,
3,
2,
3,
2,
4,
2,
2,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
5,
4,
4,
4,
2,
5,
2,
3,
2,
2,
3,
3,
4,
4,
8,
5,
2,
4,
4,
4,
5,
3,
3,
4,
2,
4,
3,
5,
3,
4,
3,
3,
4,
2,
2,
3,
3,
3,
3,
2,
3,
2,
5,
1,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
2,
4,
4,
3,
3,
3,
2,
2,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
4,
4,
4,
2,
2,
2,
1,
2,
2,
4,
2,
4,
2,
2,
2,
4,
2,
4,
2,
4,
3,
6,
5,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
2,
2,
3,
2,
3,
3,
4,
3,
3,
4,
2,
2,
2,
5,
3,
2,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
4,
4,
4,
2,
2,
4,
4,
2,
2,
3,
4,
4,
2,
2,
3,
3,
2,
2,
3,
3,
3,
2,
2,
5,
4,
3,
2,
3,
3,
7,
4,
3,
3,
3,
2,
3,
3,
4,
4,
2,
2,
7,
2,
2,
2,
3,
3,
4,
4,
5,
4,
2,
2,
5,
3,
4,
4,
2,
2,
1,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
3,
3,
5,
5,
5,
6,
6,
6,
2,
4,
4,
2,
3,
4,
2,
2,
3,
2,
4,
4,
4,
4,
3,
5,
3,
5,
2,
2,
2,
2,
4,
4,
3,
3,
2,
2,
2,
2,
4,
2,
3,
2,
3,
4,
4,
2,
4,
2,
2,
3,
3,
3,
5,
4,
8,
7,
2,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
2,
5,
2,
2,
3,
5,
3,
3,
3,
2,
4,
4,
4,
3,
2,
4,
2,
3,
3,
3,
2,
3,
3,
4,
3,
3,
3,
6,
4,
2,
4,
3,
4,
4,
3,
3,
3,
2,
4,
2,
4,
3,
2,
3,
3,
6,
2,
3,
3,
4,
4,
4,
4,
5,
6,
2,
2,
4,
2,
2,
2,
4,
5,
4,
1,
1,
1,
2,
3,
2,
5,
3,
4,
6,
5,
2,
1,
2,
3,
4,
4,
4,
4,
2,
4,
2,
2,
3,
2,
1,
2,
2,
2,
3,
3,
2,
3,
3,
3,
4,
3,
3,
8,
2,
3,
2,
4,
5,
2,
2,
2,
4,
2,
2,
4,
4,
4,
3,
2,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
5,
3,
2,
3,
2,
3,
2,
2,
2,
4,
4,
4,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
3,
4,
3,
2,
4,
4,
4,
4,
5,
4,
4,
6,
6,
6,
6,
2,
2,
2,
2,
2,
4,
2,
3,
2,
3,
3,
3,
4,
2,
3,
3,
3,
3,
5,
2,
4,
4,
2,
2,
2,
4,
2,
4,
4,
4,
4,
7,
4,
4,
5,
3,
4,
3,
2,
2,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
6,
2,
2,
2,
2,
2,
6,
3,
3,
2,
3,
5,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
5,
2,
2,
2,
2,
4,
5,
5,
3,
3,
3,
3,
5,
3,
6,
4,
2,
2,
3,
3,
3,
3,
3,
2,
2,
3,
2,
3,
3,
4,
2,
3,
7,
3,
3,
3,
2,
5,
4,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
2,
2,
3,
3,
4,
3,
3,
4,
3,
3,
5,
5,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
3,
2,
2,
4,
4,
4,
5,
3,
5,
3,
3,
5,
6,
3,
3,
3,
3,
2,
2,
2,
3,
2,
3,
2,
5,
3,
3,
4,
2,
2,
2,
2,
4,
3,
1,
1,
2,
3,
2,
2,
2,
2,
4,
2,
3,
4,
4,
3,
2,
2,
4,
4,
4,
3,
3,
3,
3,
7,
2,
3,
2,
3,
3,
2,
4,
4,
2,
4,
3,
2,
2,
1,
4,
2,
3,
2,
3,
3,
2,
3,
2,
2,
4,
5,
3,
2,
2,
4,
6,
3,
2,
4,
2,
2,
2,
3,
2,
2,
2,
3,
3,
3,
2,
1,
1,
1,
3,
2,
3,
5,
5,
2,
2,
2,
2,
2,
5,
2,
2,
4,
2,
2,
2,
2,
3,
2,
2,
5,
3,
4,
6,
5,
3,
2,
2,
2,
3,
2,
3,
2,
2,
3,
4,
3,
2,
2,
4,
4,
4,
2,
2,
2,
2,
3,
5,
2,
2,
2,
3,
2,
6,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
3,
3,
2,
2,
2,
4,
3,
2,
2,
10,
1,
2,
4,
4,
3,
3,
5,
1,
3,
3,
3,
2,
2,
3,
2,
2,
2,
3,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
4,
3,
4,
4,
4,
3,
3,
2,
3,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
2,
2,
2,
3,
3,
5,
2,
5,
3,
3,
3,
3,
2,
4,
2,
4,
7,
4,
5,
3,
4,
2,
4,
4,
4,
4,
4,
2,
4,
3,
5,
5,
4,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
5,
5,
3,
3,
3,
2,
5,
2,
2,
4,
3,
4,
4,
5,
2,
2,
4,
3,
5,
3,
4,
4,
4,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
1,
2,
2,
3,
2,
2,
5,
2,
6,
8,
2,
4,
3,
3,
5,
3,
4,
5,
4,
3,
3,
2,
2,
2,
3,
2,
3,
3,
2,
4,
4,
2,
2,
2,
5,
3,
4,
5,
2,
4,
2,
2,
2,
3,
3,
5,
4,
4,
4,
2,
2,
2,
2,
2,
5,
3,
4,
2,
5,
4,
4,
2,
4,
2,
4,
3,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
5,
3,
1,
1,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
1,
2,
2,
2,
2,
3,
2,
3,
3,
2,
9,
3,
3,
5,
3,
3,
4,
2,
2,
1,
2,
2,
2,
2,
2,
4,
5,
2,
4,
2,
2,
3,
3,
2,
5,
1,
3,
4,
3,
2,
2,
2,
3,
3,
2,
6,
7,
4,
7,
6,
3,
2,
2,
5,
4,
2,
2,
4,
3,
4,
1,
2,
2,
2,
2,
2,
2,
5,
2,
2,
3,
2,
2,
2,
4,
3,
2,
4,
3,
2,
5,
3,
4,
4,
3,
4,
4,
4,
4,
3,
3,
2,
4,
2,
2,
2,
3,
2,
2,
2,
4,
4,
3,
4,
4,
4,
3,
5,
2,
4,
4,
2,
2,
3,
3,
2,
4,
5,
4,
3,
2,
3,
3,
3,
3,
5,
3,
3,
4,
4,
2,
2,
4,
3,
4,
4,
3,
3,
3,
3,
5,
5,
3,
3,
4,
3,
3,
2,
2,
4,
4,
4,
4,
6,
7,
6,
3,
2,
3,
2,
3,
3,
2,
2,
2,
2,
3,
4,
3,
3,
2,
2,
2,
4,
2,
3,
4,
4,
1,
4,
2,
4,
3,
2,
3,
4,
4,
3,
4,
2,
2,
3,
5,
3,
5,
4,
4,
4,
4,
4,
3,
3,
5,
5,
3,
3,
3,
3,
4,
3,
4,
3,
3,
3,
2,
3,
4,
3,
3,
2,
2,
6,
6,
3,
5,
2,
3,
4,
2,
4,
6,
2,
3,
3,
6,
4,
4,
3,
3,
6,
5,
3,
3,
2,
2,
2,
2,
1,
2,
4,
3,
2,
3,
2,
4,
4,
3,
1,
3,
3,
2,
4,
4,
3,
5,
3,
7,
3,
4,
3,
6,
4,
5,
4,
2,
2,
2,
2,
2,
2,
2,
1,
8,
2,
2,
2,
4,
4,
2,
4,
2,
2,
3,
4,
4,
2,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
4,
1,
4,
2,
2,
4,
3,
2,
3,
4,
3,
6,
4,
4,
2,
2,
2,
3,
4,
1,
2,
3,
3,
3,
2,
2,
4,
4,
2,
4,
6,
3,
4,
4,
4,
4,
4,
4,
4,
5,
3,
2,
2,
3,
2,
3,
2,
4,
4,
3,
4,
4,
4,
2,
4,
4,
5,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
4,
3,
4,
2,
2,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
3,
2,
3,
2,
2,
2,
3,
3,
3,
2,
3,
4,
4,
3,
5,
3,
2,
4,
4,
2,
3,
3,
3,
3,
4,
4,
2,
4,
2,
4,
2,
2,
2,
2,
3,
3,
5,
3,
3,
2,
5,
5,
3,
2,
2,
5,
2,
2,
3,
4,
3,
2,
2,
3,
3,
5,
4,
5,
5,
3,
3,
4,
2,
2,
2,
2,
3,
3,
3,
2,
3,
3,
3,
4,
4,
2,
5,
5,
5,
4,
2,
4,
3,
5,
3,
4,
1,
2,
3,
5,
2,
2,
2,
5,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
3,
3,
5,
4,
4,
4,
5,
4,
4,
3,
2,
3,
6,
3,
3,
5,
2,
2,
2,
3,
2,
2,
1,
2,
2,
3,
2,
2,
6,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
4,
4,
3,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
4,
5,
2,
2,
2,
2,
2,
5,
2,
2,
4,
3,
3,
2,
5,
2,
4,
2,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
4,
4,
1,
4,
5,
3,
3,
3,
4,
3,
3,
2,
3,
3,
2,
2,
5,
3,
3,
3,
3,
4,
4,
2,
5,
2,
3,
2,
2,
3,
1,
6,
2,
3,
2,
7,
4,
4,
5,
3,
3,
4,
3,
3,
4,
2,
2,
2,
4,
4,
2,
2,
4,
3,
2,
4,
4,
4,
4,
3,
5,
6,
5,
2,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
2,
5,
3,
2,
2,
2,
2,
3,
2,
4,
3,
2,
2,
3,
4,
4,
4,
4,
4,
3,
2,
3,
3,
4,
4,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
1,
2,
2,
2,
3,
4,
3,
2,
3,
2,
2,
4,
2,
2,
3,
6,
3,
3,
3,
2,
2,
3,
3,
2,
3,
2,
2,
3,
4,
3,
3,
3,
3,
3,
2,
2,
5,
2,
4,
3,
1,
2,
4,
5,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
4,
2,
4,
2,
5,
2,
2,
5,
2,
3,
3,
2,
2,
2,
2,
5,
2,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
5,
2,
4,
2,
4,
2,
3,
2,
4,
4,
2,
2,
1,
4,
2,
2,
2,
4,
4,
5,
2,
2,
2,
1,
2,
2,
2,
2,
2,
2,
4,
4,
4,
7,
3,
7,
4,
4,
4,
3,
3,
5,
4,
3,
5,
4,
4,
2,
2,
2,
2,
2,
2,
4,
2,
3,
2,
3,
3,
4,
4,
3,
6,
3,
4,
2,
2,
3,
3,
8,
4,
2,
3,
3,
3,
3,
3,
2,
5,
3,
2,
4,
4,
2,
4,
4,
4,
4,
3,
5,
3,
2,
3,
4,
2,
4,
4,
4,
2,
4,
4,
2,
4,
5,
3,
2,
4,
2,
3,
2,
3,
4,
4,
4,
2,
2,
3,
2,
4,
4,
4,
4,
2,
4,
3,
5,
3,
3,
3,
2,
1,
2,
3,
3,
2,
3,
4,
4,
2,
1,
2,
3,
4,
4,
4,
3,
4,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
4,
2,
6,
2,
4,
3,
4,
5,
8,
3,
3,
3,
3,
6,
5,
4,
4,
3,
5,
5,
4,
4,
4,
4,
6,
5,
4,
2,
2,
4,
4,
5,
4,
2,
4,
2,
3,
2,
2,
2,
3,
5,
4,
3,
5,
6,
3,
2,
6,
3,
3,
2,
3,
4,
3,
2,
4,
4,
4,
3,
4,
3,
4,
4,
4,
4,
4,
7,
4,
4,
4,
4,
4,
4,
4,
5,
4,
3,
4,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
3,
2,
3,
4,
2,
3,
4,
5,
2,
4,
4,
4,
2,
4,
3,
2,
3,
3,
3,
2,
3,
4,
3,
2,
3,
2,
2,
5,
4,
2,
2,
3,
4,
3,
4,
2,
4,
4,
3,
2,
4,
4,
4,
2,
3,
4,
3,
6,
6,
2,
2,
2,
2,
4,
2,
3,
3,
2,
2,
2,
3,
3,
1,
4,
4,
4,
2,
4,
2,
2,
4,
4,
3,
3,
6,
4,
4,
4,
4,
3,
3,
2,
3,
5,
2,
3,
3,
3,
2,
2,
4,
2,
4,
2,
2,
2,
3,
3,
2,
3,
3,
4,
4,
2,
3,
4,
4,
4,
4,
4,
6,
4,
2,
2,
2,
3,
3,
2,
4,
2,
1,
2,
3,
3,
4,
4,
2,
3,
2,
3,
2,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
4,
5,
3,
4,
2,
3,
3,
2,
2,
3,
2,
3,
2,
2,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
3,
4,
3,
5,
5,
3,
2,
3,
4,
3,
3,
3,
3,
3,
2,
2,
6,
4,
4,
4,
2,
1,
1,
2,
2,
2,
4,
3,
3,
2,
2,
3,
4,
3,
2,
2,
6,
3,
4,
2,
2,
2,
2,
2,
5,
5,
3,
3,
3,
4,
4,
4,
2,
4,
3,
3,
4,
3,
6,
2,
3,
5,
4,
4,
4,
4,
4,
2,
4,
2,
2,
4,
1,
1,
3,
5,
4,
2,
3,
3,
4,
4,
2,
2,
4,
2,
4,
2,
3,
2,
5,
5,
2,
4,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
5,
3,
2,
2,
4,
4,
2,
2,
4,
3,
3,
2,
1,
3,
2,
4,
4,
3,
2,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
4,
3,
5,
3,
5,
4,
4,
4,
3,
4,
2,
4,
0,
2,
3,
3,
4,
3,
6,
2,
4,
4,
2,
3,
2,
3,
4,
4,
3,
3,
2,
2,
3,
2,
2,
5,
4,
2,
4,
4,
2,
4,
5,
6,
3,
4,
4,
4,
5,
7,
2,
2,
2,
2,
2,
2,
1,
2,
5,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
4,
3,
3,
2,
2,
2,
3,
4,
3,
4,
4,
4,
4,
4,
5,
4,
2,
3,
2,
2,
2,
4,
4,
4,
3,
4,
2,
3,
4,
2,
3,
3,
3,
2,
4,
3,
2,
2,
3,
3,
2,
4,
4,
6,
4,
4,
3,
4,
4,
2,
2,
2,
4,
5,
4,
4,
5,
4,
4,
2,
4,
2,
2,
4,
2,
2,
4,
4,
1,
4,
1,
2,
1,
4,
4,
4,
3,
2,
2,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
5,
5,
3,
4,
4,
2,
2,
4,
3,
2,
2,
3,
4,
2,
2,
2,
3,
2,
4,
2,
4,
4,
4,
3,
2,
1,
1,
3,
3,
3,
2,
2,
4,
2,
6,
2,
5,
3,
2,
4,
3,
9,
8,
3,
2,
3,
2,
3,
3,
2,
3,
3,
2,
2,
2,
3,
3,
5,
4,
2,
6,
3,
3,
3,
1,
3,
3,
4,
4,
3,
4,
3,
4,
3,
2,
5,
4,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
3,
3,
7,
3,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
1,
3,
2,
1,
2,
2,
6,
2,
3,
3,
2,
2,
4,
2,
3,
4,
4,
4,
4,
3,
2,
2,
5,
3,
4,
3,
1,
1,
2,
1,
1,
1,
1,
2,
2,
2,
1,
2,
3,
4,
2,
2,
5,
4,
3,
5,
5,
5,
4,
5,
5,
2,
4,
4,
4,
4,
4,
5,
2,
2,
2,
6,
2,
2,
2,
3,
2,
2,
1,
2,
3,
2,
2,
2,
1,
3,
3,
2,
2,
2,
10,
2,
2,
2,
2,
3,
3,
5,
6,
4,
3,
3,
3,
2,
4,
4,
2,
2,
2,
3,
4,
3,
4,
2,
4,
4,
4,
4,
4,
3,
2,
4,
2,
2,
3,
3,
4,
3,
5,
2,
3,
2,
4,
2,
3,
3,
3,
4,
3,
3,
3,
4,
4,
4,
4,
3,
3,
3,
2,
2,
3,
4,
3,
2,
3,
1,
3,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
3,
5,
4,
3,
4,
5,
3,
3,
4,
7,
3,
3,
2,
2,
3,
3,
1,
3,
3,
3,
4,
3,
3,
4,
5,
4,
5,
4,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
3,
4,
4,
4,
3,
2,
2,
2,
1,
2,
3,
2,
3,
3,
4,
4,
4,
4,
4,
4,
2,
4,
5,
5,
5,
2,
3,
4,
2,
2,
3,
2,
2,
3,
3,
2,
4,
3,
3,
3,
2,
3,
2,
3,
3,
3,
2,
4,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
3,
2,
3,
2,
4,
2,
2,
2,
4,
2,
5,
2,
4,
4,
3,
3,
3,
1,
3,
3,
3,
3,
3,
2,
5,
3,
4,
4,
3,
4,
4,
4,
4,
3,
4,
4,
3,
2,
3,
4,
6,
6,
6,
5,
2,
3,
2,
3,
2,
4,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
2,
3,
3,
2,
3,
4,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
4,
2,
3,
2,
6,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
5,
4,
4,
2,
4,
3,
2,
7,
2,
2,
2,
2,
2,
3,
3,
3,
7,
2,
4,
4,
4,
5,
6,
3,
2,
5,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
3,
4,
4,
2,
4,
4,
2,
4,
4,
4,
2,
2,
2,
3,
2,
2,
4,
2,
3,
3,
2,
2,
3,
2,
2,
2,
2,
7,
3,
4,
2,
6,
5,
3,
3,
5,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
3,
2,
2,
3,
3,
2,
4,
2,
2,
4,
4,
4,
4,
4,
3,
4,
4,
5,
3,
2,
4,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
6,
3,
3,
2,
3,
2,
3,
3,
2,
2,
3,
3,
2,
3,
4,
2,
5,
5,
2,
4,
3,
4,
4,
2,
4,
4,
2,
4,
3,
3,
2,
2,
2,
3,
2,
4,
2,
2,
1,
2,
2,
2,
2,
4,
3,
2,
1,
3,
3,
4,
2,
2,
3,
3,
4,
2,
4,
2,
5,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
4,
3,
3,
3,
2,
2,
2,
2,
4,
4,
6,
3,
3,
4,
4,
4,
4,
2,
2,
3,
3,
3,
2,
2,
2,
2,
3,
2,
3,
3,
3,
4,
4,
2,
4,
4,
2,
1,
2,
3,
4,
2,
4,
2,
2,
2,
2,
3,
3,
4,
4,
4,
2,
3,
4,
3,
3,
2,
2,
5,
2,
3,
5,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
2,
2,
2,
2,
2,
2,
2,
5,
2,
4,
2,
3,
4,
2,
2,
2,
2,
2,
3,
4,
3,
4,
4,
4,
2,
3,
3,
3,
5,
6,
4,
2,
5,
2,
3,
2,
4,
2,
3,
3,
2,
3,
3,
3,
3,
1,
3,
1,
3,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
5,
5,
4,
2,
4,
4,
4,
4,
4,
4,
5,
2,
4,
4,
4,
3,
3,
4,
2,
4,
3,
4,
4,
3,
4,
2,
4,
2,
2,
3,
5,
5,
5,
4,
5,
4,
3,
3,
4,
4,
2,
2,
2,
4,
2,
2,
3,
2,
4,
6,
6,
4,
5,
4,
3,
3,
5,
3,
2,
4,
2,
2,
2,
4,
2,
6,
4,
4,
4,
4,
2,
3,
8,
8,
8,
4,
4,
6,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
5,
5,
4,
4,
3,
3,
4,
4,
5,
4,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
1,
2,
2,
10,
4,
1,
4,
4,
4,
2,
2,
2,
2,
4,
3,
3,
4,
4,
4,
2,
2,
3,
4,
4,
7,
4,
4,
4,
4,
4,
4,
4,
1,
4,
1,
3,
2,
3,
4,
3,
2,
3,
4,
4,
2,
2,
1,
3,
3,
4,
4,
3,
3,
3,
4,
3,
3,
2,
3,
5,
5,
3,
6,
4,
3,
3,
3,
3,
4,
3,
4,
2,
3,
2,
2,
2,
3,
2,
3,
2,
4,
5,
3,
3,
5,
3,
3,
3,
3,
3,
3,
4,
3,
4,
3,
3,
5,
3,
3,
2,
2,
2,
4,
4,
4,
4,
3,
4,
2,
1,
2,
3,
5,
2,
2,
2,
2,
4,
2,
2,
2,
5,
2,
7,
2,
2,
4,
4,
4,
3,
4,
4,
3,
2,
2,
2,
4,
4,
2,
3,
2,
2,
2,
4,
4,
4,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
5,
5,
2,
5,
4,
2,
3,
4,
3,
3,
6,
2,
2,
4,
2,
2,
4,
4,
4,
4,
2,
3,
3,
2,
2,
4,
4,
3,
2,
3,
2,
3,
3,
3,
5,
3,
5,
3,
2,
3,
5,
8,
6,
2,
4,
2,
4,
2,
4,
4,
2,
4,
3,
4,
4,
3,
2,
2,
2,
2,
2,
4,
3,
3,
4,
3,
4,
3,
3,
2,
2,
3,
3,
3,
3,
3,
6,
4,
2,
5,
3,
2,
3,
2,
2,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
2,
3,
2,
2,
3,
3,
3,
3,
4,
2,
6,
7,
2,
2,
3,
2,
6,
3,
4,
3,
3,
4,
4,
3,
2,
2,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
3,
5,
2,
3,
2,
2,
2,
3,
2,
4,
2,
2,
4,
3,
3,
3,
4,
5,
3,
2,
2,
2,
2,
2,
2,
3,
2,
1,
3,
2,
1,
1,
2,
2,
1,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
3,
5,
4,
4,
3,
3,
2,
2,
4,
4,
4,
4,
2,
2,
3,
3,
2,
2,
2,
2,
3,
2,
3,
3,
3,
4,
2,
2,
2,
3,
2,
3,
2,
4,
4,
2,
4,
4,
4,
1,
6,
2,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
4,
3,
5,
5,
4,
4,
5,
2,
2,
3,
3,
7,
2,
4,
4,
2,
4,
2,
4,
2,
2,
2,
2,
3,
3,
4,
2,
2,
3,
4,
4,
2,
2,
2,
2,
2,
1,
4,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
5,
4,
3,
4,
2,
3,
5,
3,
2,
4,
2,
3,
3,
2,
3,
2,
4,
2,
2,
7,
4,
4,
4,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
2,
2,
4,
3,
2,
3,
3,
5,
2,
7,
4,
3,
4,
4,
3,
4,
5,
4,
5,
6,
6,
6,
4,
4,
4,
4,
3,
3,
2,
3,
3,
5,
1,
2,
3,
4,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
1,
4,
3,
7,
3,
3,
4,
2,
3,
4,
2,
6,
6,
2,
4,
3,
3,
4,
4,
4,
2,
4,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
3,
4,
4,
3,
4,
2,
2,
3,
3,
3,
3,
5,
4,
4,
4,
3,
2,
2,
2,
3,
2,
2,
3,
4,
5,
4,
3,
4,
7,
2,
3,
4,
4,
4,
2,
2,
3,
2,
4,
3,
3,
2,
2,
4,
2,
4,
3,
4,
2,
6,
2,
4,
2,
3,
2,
2,
3,
2,
2,
1,
2,
3,
3,
2,
3,
4,
4,
4,
3,
2,
2,
2,
3,
2,
5,
3,
5,
4,
6,
4,
2,
2,
2,
4,
4,
4,
4,
7,
3,
5,
2,
4,
4,
2,
3,
4,
2,
2,
3,
4,
4,
3,
2,
3,
2,
4,
3,
4,
4,
4,
4,
2,
2,
4,
2,
2,
3,
4,
1,
2,
1,
1,
2,
1,
4,
3,
3,
2,
2,
3,
3,
5,
4,
2,
4,
4,
2,
5,
3,
3,
3,
2,
3,
2,
2,
2,
2,
4,
4,
5,
4,
4,
4,
4,
4,
5,
4,
4,
4,
4,
4,
3,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
2,
4,
4,
2,
2,
3,
2,
2,
5,
2,
2,
3,
3,
2,
2,
2,
2,
2,
4,
4,
5,
4,
2,
4,
4,
3,
5,
2,
2,
5,
3,
3,
2,
4,
2,
2,
3,
3,
2,
6,
3,
2,
3,
5,
4,
4,
3,
3,
5,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
4,
3,
3,
3,
5,
3,
4,
4,
4,
4,
4,
4,
3,
6,
2,
2,
2,
2,
4,
4,
8,
8,
2,
5,
2,
2,
4,
2,
2,
2,
4,
2,
3,
4,
4,
2,
4,
2,
4,
2,
2,
3,
4,
3,
5,
3,
5,
3,
8,
2,
2,
1,
1,
3,
1,
1,
3,
4,
4,
4,
3,
2,
4,
2,
2,
4,
4,
4,
4,
3,
2,
4,
3,
4,
2,
2,
2,
1,
2,
3,
3,
4,
5,
5,
3,
3,
3,
4,
4,
3,
6,
4,
5,
2,
2,
2,
1,
5,
3,
2,
3,
3,
4,
3,
3,
5,
4,
2,
4,
4,
6,
3,
3,
4,
3,
3,
2,
2,
2,
4,
4,
4,
4,
3,
4,
2,
4,
7,
4,
4,
2,
2,
2,
3,
3,
2,
4,
3,
4,
3,
4,
3,
4,
5,
3,
2,
4,
4,
4,
4,
3,
2,
2,
6,
2,
3,
4,
6,
2,
2,
3,
7,
2,
4,
4,
4,
4,
4,
4,
4,
1,
3,
3,
2,
2,
2,
4,
2,
1,
2,
4,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
1,
4,
5,
5,
2,
3,
3,
3,
2,
7,
3,
5,
2,
2,
1,
2,
2,
3,
2,
3,
3,
3,
5,
2,
2,
2,
2,
2,
3,
2,
5,
4,
2,
4,
4,
4,
3,
3,
3,
3,
2,
4,
4,
4,
3,
2,
2,
4,
2,
2,
2,
2,
2,
3,
4,
2,
1,
2,
2,
3,
3,
2,
2,
4,
6,
3,
2,
2,
2,
2,
2,
3,
4,
3,
3,
3,
1,
4,
3,
2,
4,
2,
6,
2,
5,
5,
2,
3,
3,
3,
3,
2,
2,
4,
2,
3,
3,
2,
4,
2,
1,
2,
4,
2,
4,
4,
1,
2,
2,
3,
3,
3,
3,
2,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
1,
2,
2,
6,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
3,
3,
4,
3,
4,
2,
3,
3,
3,
2,
2,
2,
4,
5,
4,
4,
2,
2,
4,
3,
5,
3,
4,
4,
3,
3,
4,
3,
3,
3,
7,
4,
2,
4,
7,
7,
2,
2,
3,
6,
2,
2,
3,
5,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
1,
4,
4,
2,
3,
2,
2,
2,
3,
3,
5,
3,
2,
2,
3,
2,
2,
4,
3,
2,
5,
2,
2,
2,
2,
2,
2,
5,
4,
4,
4,
4,
4,
3,
3,
4,
3,
4,
4,
6,
2,
4,
4,
4,
2,
3,
8,
6,
4,
8,
5,
5,
4,
5,
5,
3,
2,
5,
5,
3,
5,
4,
4,
3,
3,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
5,
4,
4,
4,
1,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
4,
4,
2,
4,
4,
4,
3,
2,
3,
3,
3,
3,
4,
4,
3,
3,
2,
2,
4,
3,
2,
3,
2,
2,
1,
3,
6,
4,
2,
2,
4,
4,
2,
3,
2,
2,
3,
3,
1,
3,
4,
2,
2,
4,
4,
2,
2,
3,
1,
3,
2,
3,
3,
3,
4,
2,
4,
4,
2,
2,
2,
2,
3,
2,
2,
6,
5,
3,
1,
4,
4,
2,
2,
2,
3,
3,
3,
3,
5,
2,
2,
4,
3,
7,
7,
2,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
4,
4,
2,
4,
4,
3,
2,
3,
3,
2,
3,
2,
4,
4,
2,
4,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
4,
4,
4,
4,
4,
2,
4,
2,
2,
3,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
6,
2,
2,
4,
5,
4,
5,
5,
5,
5,
5,
5,
5,
5,
6,
3,
2,
4,
3,
3,
3,
2,
2,
4,
6,
4,
2,
5,
4,
2,
4,
4,
4,
3,
3,
4,
4,
3,
3,
4,
3,
2,
2,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
5,
3,
2,
3,
2,
3,
3,
3,
1,
1,
2,
2,
2,
2,
2,
3,
4,
2,
4,
3,
4,
4,
3,
3,
3,
2,
3,
3,
3,
3,
4,
2,
4,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
4,
2,
4,
3,
3,
5,
5,
6,
3,
3,
3,
4,
4,
4,
5,
3,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
3,
2,
2,
3,
2,
3,
5,
3,
4,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
7,
4,
2,
3,
3,
6,
2,
3,
2,
2,
2,
4,
4,
4,
3,
3,
2,
3,
3,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
3,
3,
3,
2,
2,
2,
2,
4,
3,
2,
2,
2,
3,
4,
4,
4,
3,
5,
3,
3,
5,
7,
2,
2,
4,
2,
6,
4,
4,
4,
2,
3,
4,
4,
6,
4,
4,
2,
2,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
5,
5,
5,
5,
5,
5,
5,
4,
3,
2,
2,
2,
3,
2,
5,
2,
4,
4,
8,
4,
2,
2,
6,
4,
4,
4,
4,
5,
4,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
5,
3,
8,
3,
2,
4,
4,
4,
5,
3,
3,
3,
5,
5,
4,
5,
2,
5,
3,
3,
2,
3,
3,
3,
3,
5,
4,
5,
4,
4,
4,
4,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
3,
2,
4,
4,
4,
2,
4,
7,
8,
4,
4,
5,
5,
5,
5,
4,
4,
3,
3,
2,
4,
4,
5,
5,
5,
7,
7,
5,
4,
4,
4,
3,
3,
3,
4,
4,
3,
2,
3,
4,
4,
3,
3,
3,
3,
3,
1,
6,
6,
6,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
1,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
1,
4,
2,
2,
2,
2,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
6,
6,
3,
3,
4,
3,
3,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
4,
5,
4,
3,
3,
4,
4,
5,
4,
1,
3,
6,
7,
7,
4,
7,
5,
5,
2,
2,
5,
5,
4,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
3,
4,
4,
4,
3,
3,
2,
5,
5,
5,
4,
3,
3,
3,
3,
4,
4,
6,
4,
3,
4,
5,
4,
2,
4,
3,
4,
6,
3,
4,
4,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
4,
2,
6,
3,
4,
4,
2,
5,
2,
5,
6,
4,
2,
4,
4,
3,
4,
4,
2,
4,
5,
4,
2,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
3,
3,
3,
4,
1,
2,
4,
3,
4,
2,
4,
4,
3,
3,
1,
4,
4,
7,
7,
2,
4,
2,
4,
3,
3,
5,
3,
3,
3,
3,
4,
3,
4,
3,
3,
3,
4,
4,
4,
4,
2,
4,
4,
2,
4,
4,
4,
2,
4,
3,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
4,
4,
2,
3,
4,
6,
6,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
1,
3,
2,
3,
2,
3,
3,
6,
2,
2,
2,
6,
4,
3,
3,
3,
2,
4,
4,
4,
4,
4,
3,
2,
3,
2,
4,
2,
4,
4,
4,
3,
3,
7,
4,
5,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
3,
2,
2,
4,
5,
4,
4,
2,
4,
4,
5,
3,
3,
4,
4,
4,
3,
4,
4,
5,
3,
3,
3,
2,
4,
4,
3,
3,
3,
3,
4,
3,
3,
3,
3,
7,
7,
2,
2,
4,
3,
2,
6,
3,
3,
3,
3,
4,
4,
5,
3,
4,
4,
4,
3,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
3,
2,
5,
5,
4,
3,
3,
3,
5,
5,
6,
5,
5,
3,
5,
5,
5,
6,
6,
3,
3,
4,
4,
4,
3,
3,
4,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
6,
3,
2,
2,
4,
4,
4,
5,
3,
3,
4,
4,
4,
3,
3,
4,
3,
3,
3,
3,
4,
2,
1,
4,
4,
3,
3,
4,
4,
3,
6,
3,
4,
6,
4,
3,
5,
7,
3,
2,
4,
4,
3,
7,
2,
3,
4,
3,
4,
4,
3,
2,
2,
2,
3,
2,
4,
3,
3,
5,
7,
5,
7,
3,
3,
2,
2,
3,
2,
1,
4,
4,
4,
2,
2,
6,
2,
4,
7,
3,
3,
2,
6,
3,
5,
3,
2,
2,
2,
3,
4,
5,
2,
4,
3,
3,
3,
3,
3,
3,
5,
3,
5,
4,
6,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
4,
3,
3,
3,
3,
2,
2,
7,
2,
3,
3,
4,
4,
4,
3,
2,
3,
2,
3,
4,
3,
4,
4,
3,
5,
3,
2,
3,
3,
2,
3,
3,
3,
3,
2,
2,
3,
3,
2,
8,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
5,
8,
3,
4,
2,
4,
2,
4,
4,
2,
4,
2,
2,
5,
3,
3,
3,
4,
4,
5,
4,
5,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
4,
5,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
5,
5,
3,
3,
2,
3,
4,
4,
3,
3,
4,
2,
4,
2,
2,
3,
5,
3,
2,
4,
4,
4,
2,
3,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
1,
2,
3,
3,
2,
4,
5,
4,
3,
2,
4,
2,
3,
4,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
4,
5,
3,
2,
4,
2,
2,
6,
3,
6,
2,
3,
2,
4,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
5,
2,
4,
2,
3,
3,
3,
5,
4,
4,
4,
5,
4,
5,
3,
5,
4,
7,
6,
3,
3,
2,
2,
4,
3,
3,
4,
4,
3,
5,
3,
4,
4,
4,
5,
4,
3,
4,
3,
3,
4,
2,
3,
3,
4,
3,
3,
3,
3,
3,
6,
4,
4,
3,
5,
3,
5,
3,
5,
3,
4,
3,
4,
4,
4,
2,
3,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
4,
2,
2,
3,
3,
2,
2,
2,
2,
3,
4,
2,
2,
2,
3,
5,
4,
4,
4,
2,
4,
2,
4,
4,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
4,
3,
4,
3,
6,
6,
6,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
6,
7,
3,
6,
5,
6,
2,
6,
4,
5,
4,
4,
6,
5,
4,
4,
1,
1,
3,
2,
2,
1,
2,
2,
5,
4,
6,
5,
6,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
5,
5,
4,
3,
4,
4,
4,
5,
2,
3,
2,
4,
2,
2,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
4,
2,
4,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
4,
5,
4,
3,
2,
3,
4,
4,
4,
6,
4,
3,
3,
4,
4,
4,
4,
4,
4,
5,
4,
3,
6,
2,
2,
3,
3,
5,
6,
4,
4,
3,
4,
4,
3,
2,
3,
4,
4,
4,
2,
2,
2,
2,
4,
4,
2,
4,
3,
2,
4,
5,
3,
4,
3,
2,
5,
3,
4,
4,
3,
4,
2,
3,
6,
3,
2,
4,
4,
3,
3,
4,
3,
2,
4,
4,
2,
2,
2,
4,
1,
2,
2,
3,
3,
2,
3,
4,
2,
3,
3,
5,
4,
3,
3,
3,
4,
3,
4,
3,
5,
5,
1,
5,
4,
4,
1,
4,
3,
4,
2,
4,
4,
2,
3,
4,
6,
4,
2,
5,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
4,
4,
3,
4,
3,
2,
4,
2,
4,
1,
4,
2,
3,
3,
3,
4,
4,
4,
3,
4,
3,
4,
5,
3,
3,
3,
2,
3,
4,
4,
2,
4,
4,
1,
1,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
6,
4,
4,
2,
3,
3,
3,
2,
4,
3,
4,
2,
1,
3,
2,
3,
3,
3,
2,
3,
3,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
1,
6,
3,
4,
6,
4,
4,
3,
4,
5,
3,
3,
2,
3,
3,
3,
3,
3,
1,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
5,
3,
2,
3,
3,
3,
4,
3,
4,
4,
4,
4,
5,
3,
2,
3,
3,
3,
2,
2,
2,
2,
4,
4,
2,
2,
2,
3,
3,
2,
2,
4,
2,
4,
4,
6,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
4,
6,
4,
3,
4,
2,
4,
4,
4,
4,
4,
3,
3,
4,
6,
3,
5,
4,
4,
3,
2,
3,
4,
6,
4,
4,
4,
4,
3,
4,
4,
2,
5,
5,
4,
4,
4,
4,
4,
2,
2,
4,
4,
3,
4,
4,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
3,
7,
2,
5,
5,
5,
5,
5,
5,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
3,
2,
4,
2,
5,
4,
4,
2,
2,
2,
1,
3,
4,
2,
2,
3,
4,
2,
4,
2,
3,
3,
4,
2,
2,
2,
3,
6,
2,
4,
3,
4,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
5,
4,
4,
2,
3,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
3,
3,
4,
2,
2,
2,
2,
2,
3,
6,
3,
3,
4,
4,
2,
3,
3,
5,
7,
4,
4,
3,
3,
3,
4,
4,
4,
3,
4,
6,
4,
2,
5,
4,
4,
4,
3,
2,
2,
2,
3,
2,
5,
1,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
4,
7,
3,
3,
2,
3,
5,
3,
5,
3,
5,
3,
5,
5,
2,
4,
6,
5,
5,
6,
3,
4,
4,
4,
2,
2,
4,
4,
4,
4,
5,
4,
2,
2,
4,
4,
3,
4,
3,
2,
2,
3,
3,
3,
4,
2,
2,
4,
2,
5,
2,
4,
2,
2,
2,
4,
2,
3,
3,
4,
2,
3,
2,
3,
3,
3,
3,
4,
2,
2,
4,
3,
6,
6,
4,
3,
5,
5,
4,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
2,
4,
7,
4,
4,
4,
4,
4,
4,
8,
4,
2,
2,
4,
3,
4,
4,
6,
3,
3,
3,
2,
2,
4,
4,
4,
3,
2,
4,
2,
4,
4,
2,
3,
4,
3,
3,
2,
3,
3,
2,
2,
3,
2,
2,
1,
4,
3,
3,
2,
4,
4,
3,
4,
3,
2,
2,
5,
2,
5,
4,
4,
4,
4,
4,
5,
4,
3,
4,
6,
2,
7,
3,
3,
3,
3,
3,
3,
2,
2,
8,
2,
3,
3,
4,
4,
2,
2,
5,
4,
4,
4,
5,
4,
2,
3,
2,
3,
5,
5,
4,
5,
2,
2,
2,
4,
3,
4,
3,
3,
2,
3,
3,
4,
3,
2,
4,
2,
4,
5,
5,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
2,
4,
4,
5,
4,
3,
3,
5,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
5,
4,
4,
2,
3,
5,
2,
2,
2,
2,
3,
3,
2,
4,
2,
2,
2,
2,
4,
4,
4,
4,
6,
3,
2,
2,
4,
4,
4,
4,
4,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
1,
1,
4,
2,
3,
1,
3,
3,
3,
2,
4,
3,
4,
4,
4,
1,
4,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
3,
4,
7,
3,
6,
2,
4,
2,
5,
2,
3,
3,
2,
2,
5,
5,
5,
4,
2,
3,
4,
3,
2,
2,
2,
4,
2,
2,
4,
4,
4,
2,
1,
4,
4,
4,
4,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
4,
3,
3,
7,
4,
6,
6,
9,
8,
4,
5,
4,
4,
4,
4,
1,
2,
3,
2,
2,
4,
3,
3,
3,
7,
6,
6,
4,
2,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
4,
3,
3,
4,
2,
4,
5,
4,
3,
4,
4,
4,
3,
3,
3,
3,
6,
4,
4,
4,
3,
4,
2,
2,
1,
1,
1,
2,
1,
2,
4,
1,
2,
6,
4,
3,
3,
2,
2,
4,
4,
8,
2,
2,
5,
6,
6,
5,
8,
2,
4,
3,
3,
3,
3,
2,
2,
1,
5,
2,
4,
6,
3,
4,
4,
4,
4,
5,
3,
3,
6,
3,
4,
4,
4,
4,
4,
2,
2,
4,
2,
2,
4,
2,
1,
2,
2,
3,
2,
3,
2,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
1,
3,
4,
2,
3,
2,
3,
4,
4,
4,
4,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
5,
2,
4,
3,
4,
4,
4,
2,
4,
4,
3,
5,
4,
4,
4,
4,
3,
3,
3,
3,
3,
5,
3,
4,
2,
4,
2,
4,
4,
4,
4,
4,
5,
4,
2,
2,
2,
4,
4,
4,
1,
3,
3,
1,
4,
3,
3,
3,
3,
3,
4,
2,
4,
4,
2,
6,
3,
2,
4,
4,
4,
4,
2,
2,
3,
2,
4,
2,
2,
3,
1,
3,
7,
3,
6,
4,
4,
4,
5,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
3,
4,
3,
3,
4,
4,
4,
3,
4,
4,
2,
4,
4,
4,
4,
2,
2,
7,
2,
4,
3,
2,
2,
4,
2,
3,
4,
4,
4,
4,
2,
2,
4,
3,
5,
3,
5,
3,
3,
4,
4,
4,
5,
3,
3,
4,
2,
4,
2,
2,
2,
2,
2,
4,
3,
3,
6,
3,
2,
4,
3,
2,
3,
3,
3,
2,
3,
4,
2,
2,
2,
2,
3,
3,
5,
3,
4,
4,
4,
4,
3,
4,
4,
2,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
3,
2,
2,
3,
3,
3,
2,
2,
3,
3,
2,
3,
6,
4,
3,
3,
4,
4,
4,
5,
5,
6,
5,
5,
3,
2,
3,
2,
3,
3,
3,
4,
2,
3,
3,
4,
4,
2,
2,
3,
4,
3,
2,
3,
2,
2,
3,
2,
3,
4,
2,
3,
5,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
3,
4,
3,
2,
2,
1,
2,
2,
3,
2,
3,
2,
3,
4,
4,
3,
4,
3,
2,
3,
3,
4,
1,
3,
2,
3,
3,
4,
3,
2,
3,
2,
3,
3,
5,
4,
5,
4,
3,
4,
3,
2,
3,
2,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
2,
5,
20,
3,
2,
4,
4,
3,
3,
3,
3,
4,
2,
3,
5,
5,
6,
2,
4,
2,
3,
4,
2,
4,
3,
4,
3,
3,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
5,
3,
2,
3,
2,
4,
2,
2,
2,
2,
3,
5,
4,
7,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
1,
2,
2,
5,
3,
2,
4,
4,
2,
1,
3,
3,
1,
1,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
2,
3,
2,
1,
3,
3,
2,
3,
4,
5,
3,
4,
5,
3,
5,
3,
3,
2,
4,
4,
4,
4,
4,
2,
4,
2,
3,
5,
3,
3,
6,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
2,
2,
2,
4,
3,
2,
2,
2,
2,
3,
2,
4,
2,
2,
4,
3,
2,
4,
3,
3,
2,
3,
3,
3,
5,
3,
2,
4,
4,
3,
1,
2,
2,
3,
2,
2,
3,
2,
3,
2,
2,
3,
4,
4,
4,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
4,
2,
6,
4,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
5,
6,
3,
3,
3,
4,
4,
3,
3,
2,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
4,
2,
4,
2,
3,
2,
2,
3,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
4,
3,
3,
3,
6,
5,
5,
4,
3,
3,
4,
4,
4,
3,
3,
3,
3,
4,
3,
2,
2,
4,
4,
3,
4,
2,
1,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
4,
2,
4,
4,
4,
5,
1,
5,
4,
4,
4,
5,
4,
4,
4,
4,
3,
3,
5,
3,
2,
2,
4,
4,
3,
3,
3,
5,
4,
5,
4,
2,
3,
2,
3,
3,
3,
2,
4,
5,
5,
2,
5,
4,
3,
3,
3,
4,
2,
4,
6,
5,
4,
4,
4,
4,
4,
4,
4,
4,
6,
5,
4,
5,
4,
2,
3,
2,
1,
3,
4,
2,
3,
2,
2,
4,
3,
4,
2,
4,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
4,
2,
2,
3,
7,
6,
2,
2,
2,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
3,
3,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
1,
3,
2,
2,
3,
5,
3,
5,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
4,
4,
4,
2,
3,
3,
2,
2,
4,
2,
1,
4,
3,
3,
3,
3,
3,
2,
1,
3,
2,
2,
3,
4,
4,
2,
4,
4,
2,
4,
4,
3,
3,
3,
2,
2,
2,
5,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
3,
3,
2,
2,
3,
2,
2,
4,
4,
2,
3,
2,
2,
2,
2,
2,
1,
2,
3,
2,
2,
2,
2,
4,
4,
5,
4,
7,
4,
2,
2,
2,
5,
2,
2,
3,
2,
3,
2,
5,
5,
4,
2,
2,
4,
2,
2,
2,
2,
2,
3,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
2,
4,
5,
2,
3,
3,
3,
5,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
6,
3,
3,
2,
3,
5,
4,
4,
9,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
4,
3,
4,
3,
4,
2,
3,
4,
5,
3,
3,
4,
3,
2,
2,
2,
3,
2,
3,
5,
5,
2,
3,
2,
3,
4,
3,
2,
2,
3,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
4,
6,
5,
5,
2,
2,
2,
2,
2,
2,
4,
2,
3,
2,
6,
3,
5,
6,
3,
2,
7,
3,
2,
3,
3,
2,
2,
6,
3,
2,
4,
4,
4,
4,
2,
4,
4,
2,
2,
2,
1,
2,
5,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
3,
4,
3,
2,
2,
2,
2,
4,
4,
2,
2,
4,
5,
3,
4,
4,
2,
2,
3,
3,
4,
2,
4,
6,
4,
3,
4,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
4,
3,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
5,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
2,
3,
2,
4,
4,
4,
2,
4,
3,
5,
5,
3,
4,
4,
3,
3,
4,
3,
3,
4,
3,
3,
3,
3,
1,
2,
2,
1,
2,
1,
2,
4,
2,
2,
2,
6,
6,
4,
4,
4,
4,
2,
2,
3,
2,
2,
2,
3,
4,
3,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
6,
2,
3,
3,
2,
3,
1,
2,
3,
2,
1,
4,
3,
3,
2,
4,
3,
4,
2,
3,
4,
2,
4,
4,
4,
4,
2,
4,
4,
9,
3,
2,
2,
2,
5,
2,
4,
2,
5,
5,
3,
4,
2,
4,
2,
3,
4,
4,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
5,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
3,
3,
5,
4,
2,
2,
2,
2,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
3,
3,
5,
1,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
2,
2,
2,
3,
2,
2,
3,
3,
4,
4,
2,
2,
4,
4,
4,
4,
2,
2,
4,
3,
2,
5,
4,
3,
4,
2,
5,
3,
2,
2,
4,
2,
4,
2,
4,
5,
3,
3,
2,
3,
2,
2,
4,
2,
2,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
3,
2,
7,
3,
2,
5,
3,
3,
2,
2,
2,
3,
4,
6,
2,
4,
3,
2,
2,
4,
4,
2,
3,
2,
6,
3,
2,
2,
2,
2,
2,
5,
5,
2,
3,
5,
4,
4,
4,
3,
4,
5,
4,
3,
3,
2,
5,
2,
3,
4,
4,
4,
3,
4,
5,
4,
4,
5,
4,
4,
4,
4,
4,
6,
4,
2,
4,
3,
2,
2,
5,
3,
2,
2,
3,
4,
2,
3,
4,
4,
5,
4,
4,
4,
3,
4,
4,
4,
2,
2,
3,
2,
3,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
4,
4,
4,
4,
3,
8,
2,
2,
2,
3,
2,
3,
3,
6,
4,
2,
2,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
3,
3,
3,
3,
3,
4,
2,
3,
4,
3,
3,
2,
3,
3,
3,
3,
4,
3,
2,
4,
2,
5,
4,
3,
2,
4,
5,
2,
4,
4,
3,
1,
8,
2,
3,
3,
3,
3,
4,
4,
3,
3,
4,
6,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
2,
3,
6,
6,
3,
4,
4,
2,
2,
2,
3,
2,
4,
2,
2,
2,
4,
2,
3,
3,
4,
4,
4,
4,
6,
4,
4,
4,
4,
4,
6,
4,
4,
5,
5,
5,
5,
6,
3,
3,
3,
3,
3,
3,
2,
3,
5,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
4,
2,
4,
4,
4,
4,
5,
3,
4,
2,
3,
3,
3,
3,
2,
4,
4,
6,
4,
2,
2,
4,
2,
2,
1,
4,
2,
1,
3,
1,
2,
2,
6,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
2,
4,
2,
2,
6,
2,
2,
2,
2,
2,
2,
2,
2,
5,
5,
3,
2,
3,
2,
3,
4,
6,
3,
5,
3,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
3,
4,
4,
3,
5,
3,
5,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
2,
2,
2,
2,
3,
2,
3,
2,
2,
4,
2,
2,
3,
3,
5,
4,
5,
4,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
4,
3,
4,
2,
4,
3,
2,
5,
2,
3,
3,
5,
2,
2,
3,
3,
4,
4,
3,
2,
2,
2,
5,
3,
2,
2,
3,
3,
2,
3,
5,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
5,
2,
5,
4,
2,
4,
4,
4,
3,
3,
5,
5,
2,
2,
2,
3,
6,
4,
5,
3,
4,
3,
5,
3,
2,
5,
3,
3,
3,
6,
3,
7,
3,
2,
4,
4,
4,
4,
4,
2,
4,
3,
3,
2,
2,
3,
2,
4,
4,
4,
6,
5,
2,
2,
2,
4,
4,
2,
2,
4,
2,
6,
2,
3,
2,
3,
4,
2,
5,
4,
4,
2,
4,
4,
4,
4,
4,
2,
2,
6,
3,
3,
3,
4,
3,
5,
4,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
1,
4,
3,
4,
4,
4,
6,
4,
4,
2,
4,
2,
4,
3,
2,
2,
3,
7,
3,
4,
4,
4,
2,
2,
3,
2,
5,
3,
3,
3,
3,
3,
2,
2,
2,
1,
3,
3,
2,
3,
2,
4,
2,
4,
4,
1,
2,
4,
2,
3,
5,
5,
4,
4,
2,
4,
2,
2,
2,
5,
4,
6,
4,
3,
3,
3,
3,
3,
4,
3,
2,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
2,
4,
2,
2,
3,
5,
4,
2,
4,
6,
6,
4,
4,
2,
2,
1,
2,
2,
6,
4,
4,
2,
2,
2,
2,
2,
6,
2,
2,
3,
2,
2,
2,
2,
4,
3,
3,
3,
5,
3,
3,
4,
4,
4,
4,
7,
3,
5,
3,
3,
4,
4,
5,
3,
3,
4,
3,
4,
5,
2,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
6,
2,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
6,
6,
4,
3,
5,
5,
5,
3,
2,
3,
3,
2,
3,
4,
3,
3,
4,
3,
11,
3,
4,
3,
4,
3,
4,
2,
2,
3,
2,
3,
3,
3,
2,
4,
5,
5,
8,
4,
3,
4,
2,
3,
3,
4,
4,
4,
2,
2,
5,
4,
4,
4,
4,
4,
2,
4,
5,
2,
4,
4,
4,
3,
4,
2,
4,
4,
2,
4,
4,
3,
4,
1,
2,
1,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
1,
3,
4,
3,
3,
4,
4,
2,
2,
2,
5,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
2,
3,
3,
4,
4,
6,
5,
3,
4,
4,
2,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
2,
2,
2,
4,
2,
2,
2,
2,
4,
3,
2,
4,
3,
4,
2,
4,
3,
1,
1,
4,
2,
2,
2,
2,
3,
3,
3,
4,
4,
3,
7,
6,
2,
5,
2,
2,
2,
3,
4,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
4,
1,
3,
2,
2,
4,
6,
4,
4,
2,
2,
2,
2,
3,
4,
8,
4,
4,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
6,
3,
2,
3,
2,
2,
3,
4,
3,
2,
3,
4,
2,
4,
2,
4,
4,
4,
3,
3,
4,
4,
2,
3,
1,
4,
2,
2,
4,
4,
4,
3,
4,
4,
3,
3,
4,
4,
3,
2,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
2,
2,
4,
4,
2,
3,
2,
2,
4,
4,
2,
1,
2,
4,
5,
4,
3,
3,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
8,
2,
2,
1,
2,
3,
3,
4,
4,
3,
8,
3,
3,
2,
4,
3,
2,
2,
4,
6,
3,
4,
3,
3,
4,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
7,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
5,
2,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
3,
2,
4,
3,
3,
2,
4,
2,
2,
2,
4,
3,
4,
3,
4,
3,
3,
3,
3,
3,
2,
2,
3,
4,
4,
4,
4,
3,
2,
4,
4,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
3,
4,
4,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
2,
5,
3,
4,
2,
4,
4,
2,
2,
3,
2,
3,
2,
2,
3,
1,
2,
2,
8,
8,
2,
2,
2,
4,
4,
3,
2,
7,
2,
2,
3,
2,
3,
2,
3,
3,
3,
3,
2,
2,
3,
2,
4,
4,
3,
4,
2,
3,
2,
2,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
5,
5,
8,
3,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
3,
2,
2,
2,
4,
4,
5,
5,
4,
2,
4,
4,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
4,
2,
2,
4,
3,
3,
2,
4,
6,
3,
6,
6,
4,
2,
4,
2,
4,
4,
4,
2,
2,
2,
3,
3,
4,
3,
3,
2,
5,
5,
5,
3,
4,
4,
4,
4,
3,
2,
3,
2,
3,
3,
3,
4,
5,
3,
6,
2,
3,
3,
3,
3,
4,
2,
3,
3,
2,
3,
4,
4,
2,
3,
2,
4,
4,
2,
4,
4,
4,
4,
2,
2,
4,
2,
3,
2,
4,
4,
3,
3,
5,
3,
3,
2,
4,
2,
2,
3,
2,
3,
5,
4,
4,
4,
5,
6,
6,
6,
2,
1,
4,
2,
3,
3,
4,
6,
3,
3,
3,
3,
3,
3,
4,
4,
2,
5,
3,
4,
4,
4,
2,
4,
3,
3,
2,
4,
2,
3,
5,
2,
3,
3,
3,
3,
3,
2,
3,
2,
3,
2,
3,
3,
3,
3,
5,
5,
4,
4,
4,
4,
2,
4,
2,
3,
2,
2,
8,
3,
3,
8,
3,
3,
3,
3,
3,
7,
2,
3,
2,
3,
5,
2,
5,
3,
3,
2,
4,
3,
4,
4,
4,
4,
4,
3,
2,
2,
2,
4,
4,
4,
2,
2,
4,
3,
4,
2,
3,
2,
4,
2,
4,
2,
2,
4,
4,
3,
2,
5,
3,
3,
2,
3,
2,
5,
4,
4,
4,
2,
3,
4,
2,
3,
3,
2,
7,
4,
3,
4,
4,
3,
4,
3,
4,
3,
3,
7,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
2,
4,
4,
4,
5,
3,
2,
2,
4,
4,
3,
2,
3,
2,
2,
1,
3,
2,
1,
3,
4,
4,
3,
4,
4,
3,
4,
3,
3,
3,
4,
4,
4,
5,
4,
2,
4,
2,
4,
7,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
3,
4,
5,
5,
3,
2,
2,
5,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
7,
4,
3,
3,
3,
3,
4,
4,
2,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
2,
3,
3,
3,
2,
2,
4,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
5,
3,
3,
2,
7,
2,
4,
2,
2,
4,
4,
3,
3,
4,
3,
3,
7,
4,
4,
8,
3,
3,
3,
3,
3,
3,
3,
5,
2,
3,
2,
2,
4,
4,
4,
4,
3,
2,
4,
4,
1,
3,
3,
2,
2,
3,
4,
4,
4,
4,
7,
2,
3,
4,
3,
2,
4,
5,
2,
3,
3,
3,
4,
2,
4,
3,
4,
4,
3,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
3,
4,
2,
4,
4,
2,
3,
3,
3,
4,
4,
3,
5,
3,
3,
3,
6,
3,
3,
2,
2,
5,
3,
4,
3,
3,
2,
2,
5,
4,
4,
4,
4,
2,
2,
4,
4,
5,
3,
4,
2,
2,
2,
2,
3,
2,
4,
3,
4,
2,
6,
4,
6,
2,
4,
4,
2,
3,
3,
3,
4,
2,
4,
4,
4,
1,
2,
4,
3,
4,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
7,
5,
2,
3,
4,
4,
2,
4,
3,
2,
4,
4,
4,
5,
5,
3,
3,
3,
2,
3,
1,
3,
4,
5,
3,
2,
1,
2,
2,
2,
3,
2,
5,
3,
2,
3,
2,
2,
3,
3,
2,
3,
4,
4,
4,
2,
4,
4,
4,
7,
2,
4,
4,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
4,
4,
2,
3,
3,
3,
4,
2,
3,
5,
5,
3,
3,
3,
3,
8,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
4,
2,
2,
4,
2,
2,
3,
5,
4,
4,
6,
5,
2,
3,
2,
2,
2,
5,
2,
2,
3,
2,
2,
4,
3,
3,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
1,
3,
2,
3,
2,
2,
2,
2,
5,
5,
6,
2,
3,
3,
4,
4,
4,
2,
3,
3,
3,
6,
3,
5,
3,
3,
4,
5,
4,
2,
3,
3,
2,
4,
4,
1,
2,
2,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
4,
2,
2,
2,
4,
4,
2,
4,
5,
1,
3,
2,
5,
6,
3,
4,
4,
4,
4,
3,
3,
5,
3,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
1,
4,
2,
3,
4,
5,
4,
4,
4,
3,
3,
3,
3,
2,
2,
4,
3,
3,
3,
4,
4,
4,
5,
5,
4,
5,
4,
3,
3,
3,
3,
3,
2,
2,
3,
4,
2,
2,
2,
6,
5,
5,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
7,
3,
3,
1,
2,
1,
3,
3,
2,
5,
2,
1,
5,
4,
3,
3,
2,
3,
5,
6,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
1,
4,
4,
3,
4,
4,
4,
2,
4,
4,
4,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
5,
4,
5,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
6,
3,
3,
4,
4,
3,
7,
4,
2,
4,
4,
4,
4,
4,
2,
4,
5,
3,
4,
3,
10,
2,
3,
2,
4,
4,
4,
4,
3,
3,
2,
2,
3,
2,
5,
4,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
4,
4,
2,
3,
4,
2,
4,
4,
4,
2,
4,
4,
5,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
6,
3,
4,
2,
4,
3,
2,
6,
2,
4,
4,
3,
4,
5,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
1,
2,
3,
2,
2,
4,
5,
4,
3,
2,
2,
2,
3,
2,
2,
2,
3,
2,
5,
3,
4,
3,
2,
2,
4,
2,
4,
4,
4,
4,
7,
3,
12,
2,
4,
4,
4,
2,
4,
4,
4,
7,
7,
4,
3,
3,
6,
3,
3,
3,
3,
6,
4,
4,
4,
4,
4,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
3,
3,
4,
2,
2,
4,
4,
2,
1,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
4,
3,
4,
2,
3,
2,
2,
3,
2,
4,
4,
2,
3,
1,
3,
4,
4,
2,
4,
2,
2,
2,
3,
4,
3,
2,
3,
3,
4,
4,
3,
3,
4,
4,
4,
3,
3,
3,
1,
3,
2,
2,
4,
4,
3,
3,
3,
3,
3,
4,
3,
4,
3,
3,
2,
3,
4,
3,
3,
4,
2,
4,
4,
2,
6,
3,
1,
4,
2,
3,
3,
3,
2,
3,
3,
4,
2,
3,
3,
1,
2,
2,
3,
5,
4,
3,
2,
3,
5,
3,
3,
5,
2,
2,
2,
2,
2,
3,
2,
9,
5,
6,
4,
4,
3,
4,
5,
4,
3,
2,
4,
2,
4,
4,
4,
4,
4,
4,
5,
7,
4,
4,
4,
3,
4,
2,
3,
3,
2,
2,
1,
4,
4,
3,
3,
2,
3,
2,
3,
3,
3,
3,
3,
2,
5,
3,
4,
4,
2,
2,
5,
3,
4,
3,
2,
2,
4,
3,
2,
4,
3,
5,
4,
4,
5,
4,
4,
4,
4,
2,
4,
4,
4,
3,
2,
4,
5,
4,
3,
6,
3,
3,
4,
4,
2,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
3,
4,
4,
3,
3,
5,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
2,
2,
3,
2,
4,
3,
4,
3,
4,
3,
4,
4,
3,
3,
2,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
5,
4,
4,
4,
4,
4,
2,
2,
3,
4,
2,
2,
4,
3,
2,
2,
3,
3,
2,
2,
4,
4,
3,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
3,
3,
2,
1,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
5,
2,
2,
4,
2,
6,
4,
3,
3,
3,
4,
2,
4,
2,
2,
4,
2,
2,
3,
3,
3,
3,
4,
3,
2,
3,
3,
5,
3,
5,
5,
4,
2,
2,
4,
2,
2,
2,
3,
4,
4,
2,
2,
4,
5,
3,
2,
2,
3,
3,
3,
3,
2,
3,
4,
4,
2,
2,
2,
3,
4,
4,
4,
3,
4,
2,
4,
3,
2,
4,
3,
3,
4,
4,
3,
3,
3,
3,
3,
2,
4,
3,
3,
3,
4,
2,
3,
3,
3,
6,
2,
5,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
5,
4,
4,
5,
2,
4,
2,
4,
2,
4,
5,
4,
2,
3,
2,
2,
3,
3,
2,
3,
2,
4,
4,
4,
5,
3,
6,
3,
4,
4,
2,
4,
3,
4,
4,
4,
3,
4,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
2,
2,
3,
2,
2,
2,
3,
3,
3,
5,
4,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
4,
4,
2,
2,
2,
3,
3,
4,
4,
4,
2,
3,
3,
3,
3,
3,
4,
2,
5,
4,
2,
2,
2,
4,
4,
5,
2,
2,
2,
2,
3,
3,
2,
3,
2,
3,
3,
3,
2,
3,
4,
3,
2,
3,
2,
3,
3,
5,
4,
4,
4,
4,
3,
3,
4,
2,
2,
2,
2,
4,
5,
3,
3,
2,
3,
4,
3,
4,
6,
4,
2,
4,
2,
5,
3,
2,
5,
3,
3,
5,
4,
5,
5,
2,
4,
5,
2,
4,
3,
3,
3,
4,
2,
2,
2,
4,
3,
2,
4,
4,
4,
2,
4,
2,
4,
4,
4,
2,
2,
2,
4,
3,
2,
2,
2,
2,
3,
3,
3,
5,
4,
2,
3,
4,
4,
4,
4,
2,
4,
3,
3,
4,
4,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
5,
2,
2,
2,
3,
3,
3,
3,
4,
3,
4,
3,
3,
4,
2,
2,
2,
2,
2,
3,
3,
2,
3,
4,
3,
4,
3,
3,
2,
2,
2,
7,
2,
5,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
3,
2,
4,
2,
2,
2,
4,
3,
3,
3,
4,
2,
2,
2,
3,
4,
4,
1,
5,
5,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
5,
3,
3,
3,
3,
2,
4,
4,
2,
3,
4,
2,
4,
4,
4,
2,
6,
6,
2,
3,
3,
3,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
3,
3,
4,
5,
5,
4,
2,
2,
4,
2,
2,
4,
3,
5,
2,
3,
2,
3,
2,
4,
5,
4,
3,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
4,
5,
3,
5,
4,
2,
5,
5,
5,
5,
5,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
6,
2,
3,
3,
2,
2,
4,
5,
3,
2,
4,
3,
2,
3,
2,
3,
4,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
5,
5,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
4,
5,
5,
3,
3,
6,
3,
4,
6,
5,
4,
4,
4,
4,
4,
2,
2,
2,
4,
2,
2,
3,
4,
2,
2,
4,
6,
4,
4,
2,
3,
3,
3,
3,
2,
5,
6,
7,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
4,
2,
4,
3,
2,
2,
4,
4,
2,
4,
4,
4,
3,
2,
3,
3,
3,
4,
3,
1,
3,
3,
2,
4,
3,
3,
2,
2,
2,
3,
2,
5,
2,
2,
3,
3,
3,
4,
3,
4,
4,
3,
4,
4,
5,
5,
5,
3,
2,
4,
3,
2,
3,
4,
2,
2,
4,
6,
6,
3,
4,
3,
3,
3,
2,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
3,
3,
3,
5,
2,
4,
3,
4,
3,
3,
3,
2,
3,
3,
2,
5,
3,
3,
4,
3,
3,
3,
3,
2,
2,
3,
2,
3,
2,
4,
4,
1,
4,
4,
5,
2,
3,
2,
4,
4,
5,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
3,
2,
3,
3,
3,
3,
5,
7,
4,
4,
3,
2,
2,
2,
4,
2,
2,
4,
3,
3,
3,
3,
1,
3,
3,
4,
4,
2,
2,
4,
2,
3,
3,
5,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
4,
3,
4,
4,
3,
5,
5,
6,
4,
4,
2,
3,
4,
2,
2,
2,
2,
4,
4,
3,
2,
2,
2,
2,
2,
1,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
4,
9,
2,
3,
3,
2,
3,
2,
4,
4,
3,
4,
1,
4,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
5,
5,
3,
5,
3,
3,
2,
5,
2,
3,
2,
2,
2,
1,
3,
2,
2,
4,
2,
2,
4,
3,
3,
3,
2,
4,
2,
3,
2,
3,
1,
2,
3,
4,
3,
3,
3,
2,
2,
5,
4,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
5,
2,
5,
5,
2,
5,
5,
3,
4,
4,
4,
2,
4,
4,
2,
4,
4,
3,
5,
2,
4,
4,
4,
2,
4,
4,
3,
4,
4,
3,
1,
2,
2,
3,
3,
2,
2,
3,
4,
4,
2,
3,
2,
2,
2,
2,
4,
8,
3,
3,
3,
2,
2,
3,
3,
5,
3,
3,
3,
4,
2,
4,
2,
4,
3,
3,
3,
4,
3,
1,
3,
3,
3,
2,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
7,
3,
3,
5,
3,
3,
6,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
1,
3,
2,
6,
5,
2,
5,
3,
3,
2,
2,
3,
2,
2,
1,
2,
4,
2,
4,
4,
5,
3,
2,
3,
2,
2,
3,
2,
6,
3,
3,
2,
4,
2,
4,
3,
4,
5,
4,
2,
4,
4,
2,
2,
6,
2,
2,
2,
4,
4,
4,
4,
2,
3,
4,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
4,
5,
3,
5,
3,
3,
2,
2,
2,
2,
3,
3,
2,
2,
3,
2,
2,
2,
3,
3,
5,
4,
2,
4,
4,
5,
4,
6,
4,
6,
3,
3,
5,
5,
2,
2,
2,
3,
3,
2,
2,
4,
4,
4,
2,
2,
4,
3,
4,
1,
4,
3,
3,
2,
2,
4,
2,
4,
4,
4,
3,
3,
3,
2,
3,
3,
3,
5,
4,
5,
3,
3,
2,
2,
1,
4,
4,
2,
2,
2,
2,
2,
2,
1,
3,
4,
5,
4,
2,
2,
3,
2,
4,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
3,
4,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
1,
1,
4,
2,
3,
4,
3,
1,
3,
3,
3,
3,
4,
3,
3,
2,
3,
3,
2,
2,
3,
2,
3,
2,
2,
2,
2,
6,
2,
3,
2,
2,
3,
2,
4,
4,
1,
2,
2,
3,
3,
2,
2,
4,
4,
2,
2,
2,
3,
2,
3,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
2,
4,
4,
2,
4,
4,
2,
2,
4,
2,
2,
2,
4,
3,
4,
4,
4,
2,
2,
4,
3,
3,
5,
4,
2,
2,
3,
5,
4,
4,
3,
3,
4,
3,
4,
4,
4,
3,
3,
6,
3,
3,
1,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
3,
5,
5,
4,
3,
3,
3,
5,
5,
6,
4,
3,
2,
2,
6,
3,
3,
5,
4,
4,
2,
6,
6,
5,
3,
2,
3,
3,
2,
3,
2,
2,
4,
4,
4,
3,
3,
6,
5,
4,
3,
5,
4,
3,
4,
4,
4,
2,
2,
2,
2,
2,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
7,
4,
3,
3,
4,
3,
2,
3,
5,
2,
2,
2,
1,
2,
3,
2,
2,
4,
2,
4,
4,
3,
2,
4,
2,
2,
2,
2,
3,
4,
2,
4,
2,
5,
3,
3,
3,
3,
3,
4,
2,
2,
5,
1,
1,
2,
2,
2,
2,
2,
4,
5,
2,
2,
3,
4,
2,
5,
2,
4,
4,
4,
4,
4,
4,
3,
2,
2,
3,
2,
3,
2,
2,
4,
2,
2,
2,
2,
5,
3,
2,
5,
4,
4,
3,
2,
4,
4,
4,
4,
3,
1,
3,
5,
3,
5,
4,
3,
3,
3,
3,
4,
4,
2,
4,
4,
3,
4,
4,
8,
4,
4,
3,
2,
2,
3,
2,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
4,
3,
3,
4,
4,
3,
2,
4,
3,
3,
3,
3,
1,
2,
3,
4,
3,
4,
3,
5,
2,
3,
4,
4,
5,
7,
5,
3,
4,
3,
4,
3,
4,
3,
4,
4,
4,
4,
3,
4,
4,
2,
2,
3,
4,
3,
4,
5,
4,
4,
3,
2,
4,
3,
2,
2,
4,
3,
2,
2,
2,
2,
2,
4,
4,
4,
6,
4,
1,
3,
1,
4,
2,
1,
4,
2,
4,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
1,
3,
3,
4,
4,
4,
4,
4,
2,
2,
4,
3,
2,
2,
2,
2,
3,
4,
4,
2,
3,
2,
1,
5,
2,
3,
1,
2,
8,
3,
4,
2,
2,
4,
3,
2,
4,
2,
2,
2,
3,
3,
1,
2,
3,
2,
2,
4,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
3,
2,
5,
2,
3,
3,
3,
4,
3,
3,
3,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
5,
4,
4,
4,
4,
4,
4,
4,
2,
5,
4,
7,
4,
5,
6,
7,
6,
3,
2,
4,
2,
4,
4,
4,
2,
3,
2,
4,
2,
3,
3,
2,
2,
3,
1,
4,
4,
4,
4,
4,
4,
4,
4,
1,
2,
2,
4,
2,
2,
2,
2,
4,
3,
2,
2,
4,
2,
4,
2,
2,
2,
4,
4,
4,
2,
4,
5,
5,
4,
4,
6,
5,
5,
4,
4,
6,
4,
5,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
3,
2,
2,
2,
3,
4,
2,
4,
5,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
6,
5,
3,
2,
2,
4,
4,
4,
4,
5,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
6,
4,
4,
4,
3,
2,
4,
4,
2,
4,
2,
3,
4,
3,
3,
4,
3,
4,
4,
4,
2,
2,
4,
3,
5,
4,
4,
4,
4,
4,
3,
3,
3,
2,
4,
3,
1,
3,
3,
3,
5,
4,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
5,
2,
2,
4,
3,
2,
2,
2,
4,
2,
2,
5,
5,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
2,
4,
3,
3,
2,
4,
4,
3,
2,
7,
4,
3,
2,
3,
2,
4,
3,
5,
3,
3,
3,
3,
2,
4,
3,
4,
7,
4,
5,
4,
2,
6,
2,
5,
4,
7,
3,
2,
2,
3,
4,
3,
3,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
2,
4,
14,
2,
2,
2,
3,
2,
2,
2,
3,
4,
3,
3,
3,
3,
4,
2,
3,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
5,
3,
2,
4,
3,
1,
2,
3,
2,
2,
2,
4,
3,
2,
5,
3,
2,
2,
2,
3,
3,
3,
3,
3,
5,
5,
5,
3,
4,
4,
4,
5,
4,
4,
3,
6,
2,
2,
3,
2,
4,
2,
3,
2,
3,
3,
3,
3,
3,
6,
2,
2,
4,
2,
4,
4,
4,
2,
1,
2,
4,
4,
2,
3,
7,
3,
3,
3,
1,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
6,
4,
6,
2,
4,
2,
3,
3,
3,
4,
5,
2,
4,
2,
5,
7,
2,
3,
3,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
4,
3,
2,
4,
4,
2,
2,
2,
3,
2,
4,
4,
3,
7,
3,
3,
2,
4,
2,
2,
2,
6,
3,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
1,
2,
2,
3,
2,
2,
4,
2,
2,
5,
3,
2,
1,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
2,
3,
3,
2,
5,
5,
4,
4,
4,
2,
2,
2,
5,
3,
2,
2,
9,
3,
3,
3,
3,
3,
1,
3,
3,
3,
3,
3,
2,
3,
2,
5,
3,
4,
4,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
2,
3,
4,
4,
2,
5,
3,
2,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
1,
3,
4,
4,
4,
4,
3,
5,
4,
2,
4,
3,
4,
2,
4,
3,
2,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
2,
2,
2,
3,
5,
2,
3,
3,
2,
3,
5,
5,
4,
4,
3,
2,
2,
3,
4,
3,
3,
2,
2,
2,
4,
4,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
5,
5,
5,
6,
6,
4,
4,
4,
5,
4,
4,
2,
6,
4,
6,
6,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
1,
1,
4,
2,
2,
3,
2,
3,
3,
4,
4,
2,
2,
4,
4,
2,
3,
4,
3,
2,
3,
2,
3,
3,
3,
3,
4,
4,
2,
4,
2,
3,
3,
4,
4,
4,
4,
2,
4,
3,
2,
2,
2,
2,
2,
2,
3,
1,
3,
4,
3,
4,
3,
2,
4,
4,
4,
2,
2,
4,
4,
3,
2,
2,
3,
2,
2,
3,
2,
2,
3,
1,
4,
4,
4,
2,
1,
2,
2,
2,
3,
2,
3,
4,
4,
2,
4,
3,
3,
2,
3,
3,
4,
4,
5,
3,
3,
3,
3,
3,
4,
3,
9,
2,
2,
3,
4,
5,
2,
4,
4,
3,
4,
2,
2,
2,
3,
3,
2,
4,
2,
2,
5,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
4,
2,
4,
2,
4,
5,
3,
3,
4,
4,
4,
3,
3,
6,
4,
4,
4,
2,
4,
3,
3,
7,
3,
4,
3,
2,
3,
4,
2,
3,
3,
3,
2,
2,
2,
2,
2,
5,
2,
2,
2,
4,
2,
5,
2,
3,
4,
3,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
6,
2,
3,
2,
3,
2,
5,
3,
4,
4,
2,
2,
4,
6,
4,
4,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
2,
4,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
2,
2,
3,
4,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
3,
4,
2,
3,
4,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
6,
4,
2,
3,
4,
4,
4,
4,
4,
3,
4,
6,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
2,
2,
2,
2,
2,
3,
3,
5,
3,
5,
3,
3,
4,
3,
4,
3,
5,
3,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
4,
2,
4,
5,
2,
4,
4,
3,
4,
2,
4,
4,
3,
2,
4,
3,
2,
3,
4,
3,
2,
2,
2,
2,
2,
4,
5,
3,
5,
5,
6,
2,
3,
2,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
2,
5,
2,
4,
2,
5,
5,
5,
2,
3,
6,
3,
2,
2,
2,
2,
3,
1,
7,
2,
3,
3,
3,
3,
2,
2,
2,
3,
2,
4,
3,
5,
4,
4,
4,
2,
2,
2,
3,
4,
3,
5,
3,
3,
3,
2,
5,
3,
4,
2,
3,
5,
4,
4,
2,
4,
4,
4,
3,
3,
4,
2,
3,
2,
2,
3,
2,
4,
4,
4,
4,
3,
1,
2,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
2,
7,
3,
4,
2,
4,
3,
3,
4,
3,
2,
3,
3,
2,
2,
3,
2,
4,
5,
2,
4,
4,
4,
4,
4,
4,
3,
5,
4,
4,
2,
3,
4,
4,
3,
3,
2,
2,
2,
1,
1,
3,
4,
4,
4,
4,
4,
4,
3,
5,
3,
2,
4,
4,
4,
4,
1,
4,
4,
3,
4,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
5,
7,
2,
2,
5,
3,
3,
2,
3,
5,
4,
4,
4,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
3,
3,
3,
4,
2,
6,
5,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
2,
2,
2,
2,
2,
4,
3,
4,
4,
5,
3,
5,
6,
2,
3,
5,
5,
2,
3,
3,
3,
3,
2,
4,
4,
4,
5,
3,
3,
3,
4,
4,
2,
4,
3,
3,
4,
5,
3,
5,
2,
3,
7,
3,
4,
4,
7,
4,
5,
4,
3,
5,
3,
5,
2,
6,
3,
2,
3,
2,
3,
4,
4,
1,
1,
4,
4,
2,
2,
3,
2,
2,
4,
2,
3,
2,
4,
4,
2,
4,
4,
2,
1,
2,
4,
4,
4,
4,
4,
4,
3,
6,
3,
5,
3,
2,
4,
2,
3,
4,
4,
2,
2,
4,
3,
5,
4,
3,
4,
4,
4,
4,
4,
1,
3,
2,
3,
2,
2,
2,
2,
3,
2,
4,
2,
2,
3,
2,
4,
2,
2,
5,
2,
3,
3,
3,
3,
3,
2,
4,
4,
2,
2,
4,
3,
3,
4,
4,
2,
2,
2,
4,
3,
2,
3,
5,
3,
4,
4,
2,
2,
4,
4,
3,
4,
4,
4,
3,
4,
4,
2,
4,
4,
4,
4,
2,
3,
3,
3,
3,
2,
3,
1,
4,
4,
3,
4,
3,
5,
5,
5,
2,
3,
2,
2,
1,
3,
4,
4,
4,
4,
4,
3,
5,
2,
4,
3,
2,
1,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
1,
1,
1,
2,
4,
2,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
4,
6,
3,
2,
4,
3,
2,
4,
2,
2,
2,
4,
3,
2,
3,
3,
3,
2,
2,
3,
4,
4,
4,
2,
4,
2,
4,
4,
3,
2,
2,
3,
2,
2,
2,
4,
3,
4,
4,
4,
2,
2,
7,
4,
4,
3,
4,
4,
3,
4,
4,
3,
2,
3,
4,
2,
4,
2,
4,
4,
3,
5,
4,
4,
3,
4,
2,
2,
2,
3,
4,
6,
4,
4,
4,
5,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
2,
2,
2,
5,
2,
3,
2,
2,
2,
4,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
4,
2,
4,
4,
2,
4,
2,
5,
2,
4,
2,
4,
2,
4,
2,
4,
4,
4,
2,
5,
4,
4,
4,
3,
4,
3,
7,
4,
6,
2,
2,
5,
3,
2,
3,
3,
4,
2,
2,
4,
3,
4,
3,
5,
2,
2,
2,
3,
6,
5,
3,
2,
4,
2,
4,
4,
4,
4,
2,
2,
2,
3,
4,
2,
2,
3,
3,
2,
10,
5,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
4,
2,
4,
2,
5,
2,
2,
2,
3,
2,
4,
4,
4,
3,
3,
2,
2,
4,
4,
3,
3,
4,
2,
2,
4,
2,
4,
4,
2,
2,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
2,
4,
2,
2,
2,
2,
3,
2,
3,
3,
3,
5,
3,
4,
2,
2,
4,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
4,
2,
2,
2,
3,
4,
2,
2,
7,
5,
3,
2,
3,
2,
1,
3,
2,
2,
2,
2,
3,
2,
2,
3,
3,
2,
2,
2,
3,
2,
2,
4,
3,
4,
3,
2,
3,
3,
3,
3,
2,
3,
4,
4,
4,
2,
3,
4,
3,
5,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
5,
4,
4,
4,
4,
2,
2,
2,
3,
3,
4,
2,
2,
2,
4,
1,
2,
1,
1,
2,
3,
2,
2,
3,
2,
3,
4,
4,
4,
4,
3,
4,
4,
2,
4,
3,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
3,
4,
3,
3,
4,
2,
2,
4,
4,
4,
3,
3,
5,
5,
2,
4,
3,
4,
7,
2,
2,
3,
4,
4,
6,
3,
5,
4,
3,
2,
3,
3,
3,
3,
4,
2,
3,
4,
4,
2,
2,
4,
2,
3,
4,
2,
4,
4,
2,
2,
4,
2,
2,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
1,
3,
1,
3,
1,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
5,
4,
4,
3,
5,
4,
2,
2,
4,
3,
3,
3,
2,
4,
3,
5,
4,
4,
4,
4,
2,
2,
2,
4,
5,
6,
6,
3,
3,
3,
3,
3,
3,
2,
3,
1,
2,
3,
2,
2,
6,
6,
3,
4,
4,
4,
4,
4,
5,
1,
3,
2,
3,
5,
6,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
4,
5,
5,
2,
3,
4,
4,
4,
3,
2,
2,
2,
3,
2,
3,
3,
2,
3,
4,
2,
2,
5,
2,
3,
5,
2,
5,
4,
3,
4,
3,
4,
2,
6,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
3,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
6,
5,
4,
2,
1,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
7,
2,
3,
2,
3,
4,
4,
2,
2,
4,
4,
7,
3,
4,
4,
2,
4,
4,
4,
4,
4,
2,
3,
4,
4,
2,
4,
3,
2,
4,
3,
2,
3,
3,
2,
6,
7,
2,
4,
4,
4,
2,
2,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
4,
4,
4,
4,
4,
2,
5,
2,
2,
3,
2,
2,
3,
2,
3,
2,
2,
4,
4,
3,
2,
2,
2,
5,
4,
2,
2,
4,
2,
2,
7,
4,
6,
4,
4,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
4,
4,
4,
3,
3,
4,
4,
2,
2,
4,
4,
3,
5,
3,
3,
3,
5,
4,
7,
4,
4,
4,
4,
4,
4,
2,
2,
4,
3,
3,
3,
2,
2,
4,
4,
4,
4,
5,
5,
9,
2,
3,
5,
2,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
2,
5,
2,
4,
2,
2,
4,
2,
4,
4,
4,
4,
5,
6,
6,
3,
4,
6,
6,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
2,
6,
4,
2,
2,
2,
3,
3,
2,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
5,
2,
3,
3,
3,
2,
7,
2,
3,
2,
2,
3,
5,
2,
2,
2,
3,
2,
3,
4,
2,
3,
3,
2,
3,
2,
3,
5,
4,
3,
3,
3,
4,
3,
2,
4,
5,
3,
2,
2,
4,
4,
4,
2,
2,
3,
2,
2,
3,
4,
4,
4,
2,
3,
4,
2,
4,
2,
2,
2,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
5,
4,
4,
5,
4,
3,
9,
3,
4,
4,
4,
5,
4,
4,
5,
2,
2,
2,
2,
2,
2,
2,
3,
5,
4,
2,
2,
2,
4,
4,
4,
3,
1,
3,
2,
3,
2,
3,
3,
2,
2,
3,
2,
3,
3,
4,
3,
2,
4,
3,
5,
4,
3,
2,
6,
4,
5,
2,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
4,
3,
2,
2,
3,
2,
4,
7,
4,
4,
4,
4,
4,
3,
2,
3,
4,
3,
2,
2,
5,
4,
4,
2,
3,
3,
2,
4,
3,
3,
4,
4,
4,
2,
4,
3,
5,
3,
4,
2,
2,
4,
4,
4,
4,
3,
4,
3,
2,
3,
4,
4,
3,
4,
2,
4,
4,
3,
1,
1,
7,
2,
4,
3,
2,
3,
2,
4,
2,
4,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
3,
3,
4,
3,
4,
4,
4,
2,
2,
4,
4,
5,
2,
4,
4,
2,
2,
4,
5,
1,
4,
2,
2,
2,
2,
2,
2,
2,
5,
5,
2,
2,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
6,
2,
4,
4,
2,
6,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
5,
4,
4,
3,
4,
4,
2,
2,
2,
3,
4,
5,
5,
3,
3,
3,
3,
3,
1,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
2,
2,
2,
3,
4,
2,
4,
5,
4,
6,
4,
3,
2,
3,
3,
3,
2,
4,
2,
2,
4,
2,
2,
2,
4,
2,
4,
4,
4,
2,
4,
5,
2,
2,
2,
2,
4,
2,
5,
5,
3,
3,
4,
2,
1,
1,
4,
4,
3,
4,
4,
3,
3,
4,
3,
2,
4,
2,
4,
4,
3,
2,
2,
5,
4,
3,
5,
3,
3,
3,
3,
4,
2,
2,
4,
4,
3,
3,
2,
2,
1,
2,
1,
1,
2,
3,
2,
3,
2,
1,
6,
4,
2,
2,
3,
3,
2,
4,
4,
3,
4,
4,
4,
6,
3,
4,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
8,
6,
2,
4,
3,
2,
3,
4,
5,
4,
3,
2,
2,
2,
6,
4,
4,
2,
4,
3,
2,
4,
3,
4,
3,
4,
4,
3,
3,
3,
4,
3,
3,
4,
4,
4,
5,
4,
4,
4,
4,
4,
2,
4,
4,
1,
2,
3,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
4,
4,
4,
2,
2,
4,
2,
3,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
3,
4,
3,
4,
2,
4,
4,
2,
4,
4,
2,
2,
4,
2,
4,
2,
2,
4,
5,
5,
5,
4,
3,
3,
4,
5,
2,
2,
2,
4,
3,
3,
1,
2,
3,
2,
5,
3,
4,
3,
3,
3,
2,
4,
4,
4,
3,
3,
3,
3,
4,
3,
3,
4,
2,
3,
3,
3,
3,
4,
4,
3,
2,
3,
3,
3,
2,
3,
6,
3,
1,
2,
2,
3,
1,
2,
3,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
5,
4,
3,
2,
2,
3,
2,
4,
2,
2,
5,
3,
2,
6,
3,
3,
2,
6,
4,
2,
4,
6,
4,
2,
4,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
3,
4,
2,
2,
3,
2,
3,
2,
2,
4,
4,
3,
2,
4,
4,
4,
4,
2,
5,
5,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
4,
5,
2,
2,
4,
3,
7,
3,
2,
2,
2,
3,
3,
9,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
4,
3,
2,
3,
3,
4,
2,
2,
4,
4,
3,
4,
4,
4,
2,
4,
5,
5,
3,
5,
3,
7,
4,
8,
2,
2,
2,
3,
9,
4,
4,
2,
4,
2,
4,
2,
3,
3,
3,
3,
4,
2,
3,
4,
4,
4,
4,
2,
2,
2,
4,
5,
4,
4,
2,
3,
3,
3,
3,
4,
4,
2,
2,
2,
3,
2,
2,
2,
3,
3,
2,
2,
2,
4,
2,
3,
3,
3,
4,
5,
4,
4,
4,
5,
3,
2,
4,
5,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
3,
5,
2,
4,
4,
4,
4,
3,
1,
4,
2,
4,
4,
4,
4,
6,
6,
4,
2,
3,
2,
2,
3,
3,
3,
3,
2,
2,
3,
3,
2,
4,
3,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
5,
2,
3,
2,
3,
3,
3,
2,
3,
4,
4,
2,
2,
3,
5,
2,
3,
4,
3,
2,
2,
4,
4,
4,
6,
4,
4,
4,
1,
2,
3,
4,
2,
5,
4,
3,
4,
4,
4,
3,
3,
2,
3,
3,
4,
4,
4,
4,
4,
3,
3,
4,
3,
3,
4,
3,
1,
1,
3,
2,
5,
2,
2,
3,
2,
3,
2,
3,
2,
2,
4,
3,
3,
2,
3,
6,
2,
5,
4,
5,
4,
3,
3,
5,
3,
3,
3,
3,
4,
2,
5,
4,
4,
4,
4,
2,
2,
4,
4,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
1,
4,
4,
4,
2,
3,
3,
3,
5,
3,
3,
2,
3,
2,
3,
4,
3,
2,
3,
2,
1,
3,
2,
2,
3,
3,
2,
2,
3,
2,
3,
3,
2,
3,
3,
5,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
1,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
5,
4,
6,
2,
4,
4,
5,
5,
2,
3,
6,
3,
4,
3,
2,
4,
4,
4,
4,
4,
5,
4,
4,
4,
2,
3,
2,
6,
3,
3,
3,
5,
2,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
5,
4,
2,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
1,
3,
2,
5,
2,
2,
1,
3,
2,
4,
3,
3,
3,
3,
3,
4,
4,
2,
6,
2,
2,
2,
2,
2,
4,
3,
3,
1,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
5,
3,
4,
4,
1,
3,
6,
3,
3,
2,
3,
2,
2,
3,
3,
3,
2,
2,
1,
1,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
4,
3,
4,
4,
2,
5,
4,
1,
4,
5,
8,
5,
1,
4,
3,
4,
3,
3,
3,
4,
4,
4,
3,
4,
5,
4,
2,
2,
4,
2,
2,
2,
3,
2,
4,
4,
3,
2,
4,
3,
6,
3,
3,
3,
2,
2,
3,
3,
2,
3,
2,
2,
4,
2,
2,
9,
2,
5,
4,
3,
3,
3,
2,
2,
4,
3,
4,
4,
4,
4,
5,
3,
2,
3,
2,
2,
4,
3,
2,
3,
3,
3,
3,
2,
4,
4,
2,
2,
3,
3,
3,
3,
2,
2,
3,
4,
3,
5,
2,
1,
2,
2,
2,
4,
4,
2,
4,
6,
4,
3,
3,
3,
4,
9,
9,
2,
4,
3,
2,
4,
2,
4,
4,
3,
3,
2,
2,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
4,
2,
1,
2,
2,
2,
2,
2,
2,
2,
6,
4,
3,
3,
4,
3,
3,
3,
3,
2,
4,
4,
3,
3,
3,
2,
3,
4,
2,
4,
5,
6,
5,
3,
2,
4,
4,
5,
2,
3,
6,
6,
4,
5,
3,
4,
3,
2,
3,
4,
5,
3,
4,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
2,
4,
2,
3,
2,
6,
3,
4,
2,
4,
4,
4,
2,
2,
4,
4,
1,
2,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
7,
3,
3,
3,
4,
4,
4,
2,
2,
2,
1,
6,
3,
4,
2,
2,
3,
4,
4,
6,
5,
8,
4,
4,
4,
3,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
5,
4,
4,
4,
4,
3,
4,
4,
4,
2,
2,
3,
2,
3,
8,
2,
3,
2,
3,
3,
3,
4,
4,
1,
4,
2,
2,
2,
2,
4,
4,
2,
2,
3,
2,
3,
3,
3,
2,
3,
2,
4,
5,
4,
3,
2,
3,
2,
2,
2,
3,
4,
4,
4,
3,
3,
1,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
1,
4,
2,
4,
4,
5,
2,
2,
2,
2,
2,
2,
3,
2,
2,
6,
2,
4,
3,
3,
3,
3,
2,
2,
3,
3,
4,
2,
4,
4,
4,
3,
3,
6,
5,
5,
2,
2,
4,
2,
2,
4,
4,
4,
4,
2,
4,
4,
2,
2,
2,
3,
3,
6,
3,
5,
4,
3,
4,
4,
1,
2,
2,
3,
4,
5,
3,
4,
4,
3,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
4,
6,
2,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
5,
3,
2,
2,
3,
3,
3,
4,
3,
4,
3,
5,
4,
7,
4,
6,
4,
4,
4,
4,
2,
2,
2,
3,
2,
2,
5,
5,
3,
4,
2,
2,
3,
2,
3,
3,
2,
4,
2,
4,
4,
3,
4,
3,
5,
7,
4,
4,
5,
3,
5,
3,
3,
4,
4,
5,
2,
3,
2,
3,
3,
3,
3,
3,
4,
4,
2,
4,
3,
2,
2,
3,
2,
2,
3,
3,
2,
5,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
4,
5,
4,
4,
4,
4,
4,
3,
3,
3,
4,
6,
5,
4,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
4,
2,
2,
4,
4,
5,
3,
3,
4,
3,
5,
3,
3,
2,
6,
4,
4,
3,
4,
3,
4,
4,
3,
3,
2,
2,
3,
4,
3,
3,
3,
3,
4,
3,
3,
3,
5,
4,
4,
4,
7,
5,
4,
3,
4,
2,
2,
4,
2,
4,
2,
2,
4,
2,
4,
4,
2,
4,
2,
2,
3,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
2,
3,
2,
2,
4,
4,
5,
3,
4,
2,
2,
2,
5,
4,
4,
4,
2,
2,
2,
4,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
2,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
3,
6,
4,
4,
4,
2,
3,
2,
4,
4,
3,
4,
4,
4,
2,
3,
3,
2,
2,
2,
3,
1,
2,
7,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
2,
3,
4,
4,
2,
3,
2,
4,
4,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
4,
4,
2,
2,
3,
5,
4,
4,
5,
2,
4,
5,
4,
3,
4,
4,
2,
2,
2,
2,
4,
4,
3,
2,
2,
2,
2,
2,
4,
5,
4,
3,
3,
2,
2,
2,
3,
2,
2,
2,
4,
4,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
3,
2,
2,
4,
2,
4,
5,
4,
5,
2,
5,
2,
2,
1,
2,
2,
1,
4,
2,
3,
2,
2,
5,
3,
4,
4,
2,
5,
2,
4,
2,
4,
2,
3,
4,
4,
2,
3,
2,
3,
4,
3,
4,
4,
4,
4,
3,
2,
3,
4,
4,
3,
2,
4,
3,
3,
3,
3,
2,
2,
2,
1,
5,
2,
2,
6,
6,
3,
3,
3,
3,
5,
3,
3,
2,
2,
2,
4,
3,
3,
3,
3,
4,
3,
2,
2,
3,
6,
2,
2,
2,
4,
4,
4,
2,
8,
2,
4,
4,
3,
3,
2,
3,
4,
3,
4,
3,
6,
5,
2,
6,
4,
3,
5,
3,
2,
5,
3,
2,
2,
2,
4,
2,
2,
5,
7,
8,
3,
3,
3,
3,
2,
4,
2,
5,
4,
2,
2,
4,
7,
3,
4,
4,
4,
4,
4,
3,
4,
4,
2,
1,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
1,
3,
5,
3,
2,
4,
4,
3,
5,
3,
3,
2,
4,
4,
2,
4,
3,
2,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
1,
2,
2,
2,
7,
3,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
4,
3,
3,
3,
2,
2,
2,
4,
3,
2,
3,
2,
2,
3,
3,
4,
3,
5,
4,
3,
3,
2,
5,
7,
3,
4,
2,
2,
3,
4,
4,
4,
3,
3,
4,
2,
4,
4,
4,
4,
3,
3,
4,
2,
2,
2,
3,
2,
2,
3,
2,
3,
4,
4,
4,
4,
2,
4,
6,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
2,
3,
5,
3,
3,
3,
2,
3,
5,
4,
3,
4,
2,
3,
2,
1,
2,
2,
2,
2,
4,
3,
5,
3,
4,
4,
4,
4,
4,
3,
4,
5,
3,
1,
4,
2,
2,
3,
6,
1,
3,
3,
2,
3,
4,
2,
3,
3,
3,
1,
3,
3,
2,
4,
3,
3,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
6,
3,
3,
7,
3,
2,
5,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
6,
4,
2,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
3,
3,
3,
3,
3,
5,
4,
2,
2,
4,
5,
4,
4,
2,
4,
2,
2,
2,
4,
2,
2,
3,
2,
5,
5,
4,
3,
4,
4,
3,
4,
6,
2,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
3,
2,
3,
2,
2,
2,
3,
2,
3,
4,
2,
3,
4,
4,
4,
2,
4,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
4,
2,
2,
2,
4,
2,
4,
2,
7,
3,
3,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
2,
4,
2,
2,
3,
3,
3,
3,
3,
2,
3,
2,
2,
5,
5,
3,
6,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
3,
4,
4,
3,
4,
4,
3,
3,
2,
8,
3,
5,
4,
4,
5,
3,
3,
7,
3,
4,
2,
2,
3,
4,
3,
2,
2,
5,
3,
3,
4,
4,
3,
4,
5,
2,
2,
4,
5,
3,
3,
3,
3,
5,
3,
4,
3,
4,
4,
6,
3,
3,
2,
4,
4,
5,
3,
2,
3,
4,
4,
3,
4,
2,
3,
2,
2,
6,
3,
4,
4,
2,
2,
2,
4,
2,
5,
2,
8,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
3,
4,
1,
3,
3,
3,
3,
5,
3,
3,
3,
4,
5,
4,
4,
2,
2,
5,
3,
2,
3,
4,
2,
1,
2,
2,
2,
4,
4,
4,
4,
3,
7,
3,
1,
4,
4,
5,
2,
5,
2,
3,
4,
3,
4,
3,
4,
5,
6,
3,
6,
4,
5,
4,
4,
4,
3,
3,
2,
4,
2,
2,
2,
2,
4,
4,
2,
2,
5,
6,
3,
2,
3,
5,
3,
4,
4,
5,
3,
5,
5,
5,
4,
4,
4,
4,
2,
4,
4,
2,
2,
4,
2,
2,
3,
1,
4,
5,
5,
4,
2,
2,
3,
3,
3,
4,
4,
4,
3,
3,
2,
2,
5,
4,
4,
2,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
4,
4,
3,
6,
4,
2,
4,
2,
2,
2,
3,
3,
2,
4,
4,
2,
3,
2,
2,
2,
2,
2,
4,
3,
4,
3,
2,
8,
4,
4,
4,
4,
4,
3,
3,
1,
4,
4,
4,
2,
4,
4,
4,
2,
4,
2,
2,
5,
2,
2,
2,
1,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
5,
5,
5,
5,
5,
5,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
5,
4,
4,
4,
2,
4,
2,
3,
3,
2,
2,
3,
4,
4,
4,
4,
4,
3,
3,
4,
4,
4,
7,
4,
2,
3,
7,
2,
5,
5,
3,
4,
4,
3,
5,
2,
6,
2,
2,
2,
2,
6,
3,
3,
5,
3,
4,
2,
6,
5,
7,
4,
4,
4,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
5,
3,
5,
5,
2,
3,
4,
5,
4,
2,
2,
2,
3,
2,
6,
3,
7,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
4,
4,
2,
2,
4,
4,
2,
3,
2,
2,
3,
5,
3,
3,
4,
4,
3,
2,
2,
3,
2,
3,
3,
5,
3,
2,
3,
2,
4,
2,
2,
2,
4,
5,
4,
2,
4,
2,
2,
1,
4,
2,
2,
4,
2,
2,
2,
3,
2,
2,
4,
3,
2,
2,
2,
4,
5,
2,
1,
3,
3,
4,
4,
3,
3,
3,
3,
3,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
4,
2,
6,
2,
3,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
1,
3,
2,
3,
2,
4,
3,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
5,
2,
3,
3,
4,
5,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
2,
1,
2,
2,
4,
4,
5,
3,
2,
4,
2,
4,
4,
4,
5,
2,
4,
2,
2,
3,
2,
7,
2,
3,
2,
3,
2,
2,
4,
2,
4,
4,
2,
2,
5,
3,
2,
4,
5,
5,
1,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
4,
2,
4,
3,
3,
4,
3,
2,
4,
4,
4,
3,
4,
2,
3,
3,
2,
4,
4,
4,
2,
5,
3,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
3,
3,
2,
2,
4,
4,
4,
6,
4,
5,
7,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
1,
4,
2,
3,
4,
3,
3,
4,
3,
5,
5,
4,
4,
2,
2,
7,
4,
4,
4,
2,
4,
2,
4,
6,
3,
2,
3,
3,
2,
4,
5,
2,
3,
3,
6,
4,
3,
3,
8,
3,
3,
4,
4,
3,
2,
2,
3,
2,
4,
4,
5,
3,
2,
3,
4,
3,
3,
3,
3,
3,
2,
3,
5,
3,
5,
4,
4,
3,
2,
4,
4,
4,
3,
4,
4,
4,
4,
5,
4,
5,
2,
4,
2,
5,
2,
2,
5,
2,
5,
2,
2,
3,
2,
2,
2,
3,
2,
2,
4,
3,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
7,
2,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
3,
5,
2,
3,
2,
5,
5,
2,
1,
3,
2,
2,
4,
4,
4,
4,
3,
6,
6,
5,
4,
6,
6,
5,
6,
3,
4,
3,
2,
3,
2,
2,
5,
4,
2,
2,
4,
4,
4,
4,
5,
1,
2,
3,
3,
2,
4,
2,
3,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
4,
4,
3,
4,
2,
2,
2,
2,
4,
4,
3,
2,
4,
4,
4,
4,
4,
6,
3,
4,
4,
4,
3,
3,
4,
4,
4,
5,
3,
2,
6,
3,
3,
4,
3,
3,
6,
3,
3,
3,
4,
4,
2,
4,
2,
2,
1,
4,
2,
2,
4,
5,
5,
5,
4,
4,
4,
3,
1,
4,
4,
4,
3,
4,
3,
4,
2,
2,
2,
3,
2,
2,
4,
4,
4,
2,
6,
4,
4,
3,
3,
2,
3,
2,
2,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
2,
7,
5,
2,
4,
4,
2,
2,
2,
2,
2,
5,
5,
5,
5,
6,
6,
2,
3,
3,
4,
2,
2,
3,
3,
2,
4,
2,
2,
2,
3,
2,
2,
3,
3,
2,
2,
2,
2,
3,
4,
2,
3,
3,
3,
4,
2,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
7,
2,
3,
3,
2,
2,
2,
2,
3,
3,
5,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
4,
4,
2,
4,
4,
6,
3,
4,
4,
4,
4,
4,
4,
2,
3,
3,
5,
2,
4,
2,
3,
2,
2,
4,
2,
2,
2,
3,
4,
5,
2,
3,
3,
2,
2,
2,
1,
5,
4,
2,
4,
4,
2,
6,
5,
4,
3,
3,
3,
3,
1,
4,
6,
5,
4,
4,
4,
7,
3,
4,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
3,
2,
3,
2,
4,
2,
2,
3,
3,
6,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
3,
2,
2,
4,
2,
1,
4,
2,
4,
2,
2,
2,
2,
2,
3,
4,
6,
4,
6,
4,
4,
3,
4,
4,
3,
4,
3,
3,
4,
3,
3,
4,
4,
3,
2,
2,
3,
2,
3,
3,
4,
5,
4,
3,
4,
6,
4,
2,
4,
3,
2,
4,
4,
3,
4,
4,
4,
3,
2,
3,
3,
3,
2,
2,
2,
3,
3,
3,
4,
4,
2,
3,
5,
4,
2,
4,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
4,
3,
4,
3,
3,
2,
5,
4,
7,
4,
4,
5,
4,
3,
2,
2,
3,
3,
3,
6,
7,
4,
3,
3,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
5,
4,
2,
4,
2,
2,
4,
4,
2,
2,
2,
3,
5,
2,
2,
4,
2,
3,
2,
4,
4,
5,
1,
4,
4,
3,
6,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
5,
3,
3,
3,
5,
3,
3,
7,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
2,
2,
1,
2,
3,
3,
2,
3,
2,
2,
3,
5,
6,
6,
4,
4,
4,
4,
4,
3,
4,
3,
4,
7,
4,
2,
4,
4,
4,
2,
4,
2,
2,
3,
2,
3,
4,
4,
2,
2,
4,
2,
4,
2,
3,
2,
2,
2,
5,
6,
4,
3,
3,
4,
4,
4,
2,
2,
4,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
3,
2,
3,
3,
5,
4,
4,
4,
4,
3,
2,
3,
2,
3,
2,
2,
3,
4,
2,
4,
4,
4,
2,
3,
1,
2,
1,
4,
4,
3,
2,
2,
2,
1,
3,
3,
3,
3,
3,
4,
3,
2,
2,
4,
5,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
4,
7,
3,
3,
3,
4,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
3,
4,
4,
2,
2,
4,
3,
2,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
7,
5,
4,
2,
6,
4,
4,
3,
5,
5,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
2,
4,
4,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
3,
4,
3,
3,
3,
3,
3,
1,
4,
4,
6,
3,
2,
3,
2,
2,
2,
2,
7,
2,
2,
2,
2,
2,
4,
4,
2,
1,
5,
3,
4,
2,
5,
2,
4,
7,
5,
4,
3,
3,
2,
4,
3,
3,
2,
2,
2,
2,
3,
7,
4,
3,
4,
5,
3,
4,
4,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
3,
3,
3,
3,
4,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
5,
5,
3,
4,
3,
4,
5,
4,
6,
3,
3,
3,
2,
2,
3,
3,
2,
4,
2,
2,
2,
4,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
4,
2,
4,
3,
3,
4,
2,
2,
4,
3,
7,
2,
3,
2,
3,
2,
4,
2,
5,
2,
3,
3,
2,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
5,
4,
4,
2,
4,
5,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
4,
3,
4,
2,
3,
2,
7,
2,
1,
1,
1,
3,
3,
4,
4,
3,
4,
4,
6,
4,
2,
3,
1,
2,
4,
2,
2,
2,
3,
2,
3,
4,
3,
2,
2,
4,
2,
5,
4,
2,
2,
4,
9,
2,
2,
3,
3,
3,
2,
4,
3,
4,
2,
2,
2,
3,
3,
2,
4,
3,
2,
4,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
2,
1,
4,
2,
2,
3,
5,
2,
3,
4,
3,
4,
4,
6,
4,
2,
4,
4,
2,
2,
4,
5,
5,
5,
5,
2,
2,
2,
2,
2,
2,
5,
1,
3,
1,
1,
2,
1,
2,
2,
3,
3,
4,
1,
1,
2,
3,
6,
4,
3,
5,
1,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
3,
6,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
4,
2,
4,
3,
4,
6,
2,
2,
3,
4,
2,
4,
3,
2,
4,
2,
2,
3,
3,
4,
2,
4,
3,
2,
2,
3,
3,
6,
6,
7,
8,
7,
7,
6,
7,
4,
4,
2,
2,
4,
2,
3,
2,
3,
2,
4,
2,
3,
3,
3,
3,
3,
2,
3,
4,
3,
5,
5,
5,
5,
5,
2,
5,
6,
4,
5,
3,
6,
2,
2,
3,
3,
2,
2,
3,
2,
2,
2,
3,
2,
1,
3,
1,
3,
6,
4,
2,
5,
6,
5,
2,
8,
4,
5,
4,
4,
4,
2,
3,
5,
3,
2,
2,
2,
2,
4,
2,
4,
3,
4,
2,
2,
4,
4,
3,
5,
3,
2,
4,
3,
4,
7,
7,
3,
2,
4,
4,
2,
2,
4,
3,
3,
3,
4,
3,
5,
3,
3,
3,
7,
3,
3,
3,
2,
2,
3,
2,
4,
4,
4,
2,
4,
4,
5,
5,
7,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
2,
2,
2,
5,
4,
4,
2,
3,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
3,
2,
2,
1,
2,
1,
3,
2,
2,
2,
2,
4,
3,
4,
6,
2,
4,
4,
3,
4,
2,
4,
4,
3,
4,
4,
4,
2,
2,
4,
2,
3,
3,
2,
3,
2,
3,
3,
3,
5,
4,
6,
2,
2,
4,
2,
2,
3,
3,
3,
2,
2,
4,
4,
4,
1,
4,
4,
3,
3,
2,
4,
3,
4,
2,
2,
2,
4,
4,
4,
4,
6,
5,
4,
5,
3,
2,
3,
4,
4,
2,
2,
4,
3,
4,
2,
2,
4,
5,
2,
2,
4,
5,
3,
2,
0,
5,
3,
3,
3,
2,
4,
3,
2,
4,
4,
3,
2,
3,
4,
4,
4,
5,
4,
2,
3,
3,
2,
2,
3,
2,
3,
4,
4,
3,
4,
2,
4,
2,
2,
3,
3,
2,
2,
2,
2,
5,
2,
5,
4,
4,
6,
6,
2,
4,
3,
1,
2,
3,
2,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
4,
4,
6,
2,
4,
3,
3,
3,
3,
4,
3,
2,
3,
7,
5,
3,
6,
4,
4,
2,
4,
4,
4,
4,
5,
4,
4,
8,
3,
8,
2,
2,
3,
4,
6,
5,
2,
4,
3,
3,
3,
3,
3,
4,
3,
3,
3,
4,
3,
2,
2,
3,
2,
2,
4,
4,
2,
4,
2,
2,
2,
3,
4,
2,
3,
4,
5,
2,
3,
4,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
7,
4,
4,
4,
4,
4,
2,
4,
2,
3,
3,
3,
3,
4,
4,
4,
7,
4,
5,
2,
2,
2,
4,
4,
5,
4,
4,
5,
4,
2,
4,
4,
5,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
4,
4,
5,
3,
4,
3,
2,
2,
2,
2,
2,
3,
5,
2,
2,
4,
3,
3,
3,
3,
4,
3,
2,
3,
3,
4,
5,
4,
2,
5,
3,
2,
4,
3,
2,
2,
2,
2,
4,
3,
3,
5,
4,
4,
4,
3,
2,
2,
2,
3,
3,
2,
2,
1,
2,
2,
2,
4,
1,
1,
4,
4,
4,
2,
6,
2,
2,
4,
3,
2,
6,
4,
3,
6,
3,
3,
2,
6,
3,
2,
2,
8,
6,
3,
1,
2,
2,
2,
4,
4,
6,
3,
1,
3,
4,
3,
3,
3,
4,
3,
2,
2,
7,
3,
2,
2,
4,
3,
2,
2,
2,
3,
3,
2,
3,
4,
6,
3,
4,
8,
2,
2,
6,
3,
4,
3,
4,
4,
4,
3,
4,
3,
3,
3,
4,
2,
4,
2,
2,
4,
2,
5,
3,
3,
4,
4,
4,
2,
2,
2,
4,
4,
2,
2,
3,
3,
3,
4,
4,
2,
2,
3,
2,
4,
2,
2,
2,
4,
2,
2,
3,
2,
2,
2,
1,
1,
3,
2,
4,
2,
3,
3,
5,
5,
3,
3,
3,
3,
3,
3,
4,
4,
3,
5,
4,
4,
2,
4,
4,
4,
3,
2,
3,
4,
4,
2,
2,
2,
1,
4,
4,
2,
5,
2,
3,
2,
4,
4,
4,
5,
3,
4,
5,
4,
2,
3,
2,
4,
2,
3,
2,
2,
2,
3,
4,
3,
5,
6,
4,
3,
4,
2,
4,
2,
3,
4,
3,
3,
3,
3,
2,
2,
5,
4,
4,
4,
3,
2,
4,
4,
5,
4,
2,
3,
2,
2,
4,
4,
2,
2,
3,
3,
3,
3,
2,
3,
4,
2,
2,
3,
3,
3,
2,
2,
3,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
3,
3,
3,
4,
3,
3,
2,
3,
3,
2,
3,
3,
2,
2,
2,
4,
2,
3,
3,
4,
2,
4,
4,
3,
2,
2,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
4,
3,
3,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
6,
4,
5,
5,
4,
4,
2,
2,
3,
2,
2,
6,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
6,
3,
2,
2,
2,
3,
2,
6,
4,
4,
4,
4,
4,
4,
5,
3,
3,
2,
6,
3,
4,
4,
2,
4,
4,
3,
3,
3,
3,
2,
4,
2,
2,
4,
2,
1,
4,
2,
2,
2,
2,
2,
4,
2,
3,
3,
2,
2,
3,
3,
4,
2,
4,
2,
3,
3,
2,
2,
5,
5,
5,
4,
4,
3,
8,
1,
2,
2,
3,
3,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
7,
3,
3,
2,
4,
2,
2,
2,
3,
1,
2,
2,
2,
4,
2,
2,
4,
3,
4,
4,
2,
2,
4,
4,
2,
2,
6,
4,
5,
5,
4,
2,
3,
2,
3,
4,
4,
2,
4,
2,
2,
3,
4,
2,
3,
3,
4,
2,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
3,
3,
5,
3,
3,
4,
4,
4,
3,
5,
3,
3,
2,
2,
4,
2,
3,
3,
3,
5,
2,
3,
4,
2,
2,
2,
2,
2,
5,
4,
4,
2,
4,
2,
4,
2,
2,
2,
3,
2,
2,
4,
4,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
3,
2,
4,
2,
2,
4,
4,
3,
3,
5,
3,
3,
6,
4,
3,
2,
3,
2,
3,
4,
4,
4,
2,
4,
3,
2,
3,
3,
6,
5,
6,
5,
8,
2,
2,
2,
3,
4,
2,
3,
1,
2,
2,
2,
4,
4,
4,
4,
3,
7,
2,
3,
2,
3,
3,
3,
5,
4,
3,
3,
3,
3,
3,
3,
2,
6,
5,
5,
6,
4,
3,
4,
2,
5,
3,
3,
3,
1,
5,
3,
5,
4,
4,
4,
5,
2,
4,
5,
3,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
3,
2,
2,
4,
3,
5,
4,
4,
4,
6,
3,
4,
4,
4,
4,
6,
3,
3,
2,
1,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
3,
2,
3,
3,
6,
3,
2,
4,
5,
4,
3,
6,
6,
6,
2,
2,
4,
4,
4,
3,
1,
2,
3,
3,
4,
4,
3,
3,
2,
2,
3,
3,
2,
1,
2,
3,
5,
4,
3,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
5,
2,
2,
2,
4,
4,
5,
2,
2,
3,
3,
3,
5,
4,
3,
3,
3,
5,
6,
4,
4,
2,
2,
2,
2,
2,
4,
4,
6,
6,
3,
2,
2,
3,
3,
3,
3,
2,
3,
4,
4,
2,
2,
4,
2,
2,
3,
2,
2,
2,
4,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
8,
2,
3,
3,
3,
3,
3,
2,
3,
4,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
5,
5,
3,
5,
3,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
5,
2,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
2,
4,
2,
2,
2,
4,
4,
4,
5,
3,
4,
2,
6,
2,
4,
4,
2,
2,
4,
4,
2,
2,
3,
4,
4,
4,
8,
4,
4,
5,
3,
3,
4,
5,
4,
5,
4,
4,
3,
3,
6,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
3,
3,
3,
3,
2,
8,
2,
4,
4,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
1,
4,
1,
3,
5,
2,
4,
4,
2,
4,
3,
3,
4,
3,
3,
2,
2,
2,
2,
2,
4,
2,
4,
1,
3,
3,
3,
3,
2,
4,
3,
2,
2,
2,
2,
2,
1,
4,
3,
2,
3,
2,
3,
2,
2,
4,
4,
4,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
4,
4,
6,
3,
4,
2,
2,
2,
2,
3,
4,
3,
3,
3,
4,
4,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
6,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
4,
2,
2,
3,
3,
3,
2,
4,
4,
4,
4,
6,
2,
4,
2,
5,
5,
4,
2,
2,
2,
3,
2,
2,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
4,
6,
4,
3,
3,
2,
3,
6,
2,
2,
2,
2,
2,
3,
5,
3,
4,
4,
4,
2,
3,
3,
2,
4,
2,
3,
4,
2,
3,
2,
3,
3,
2,
4,
3,
4,
4,
4,
2,
2,
3,
3,
2,
2,
6,
5,
4,
3,
4,
4,
2,
3,
4,
3,
3,
3,
4,
3,
3,
3,
4,
3,
3,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
5,
5,
5,
5,
2,
2,
2,
2,
2,
2,
2,
3,
3,
1,
6,
2,
5,
2,
2,
2,
2,
2,
2,
5,
5,
3,
5,
3,
3,
2,
2,
2,
4,
2,
2,
4,
3,
4,
4,
4,
2,
4,
3,
2,
3,
2,
3,
2,
5,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
7,
6,
6,
2,
4,
4,
5,
3,
2,
3,
3,
4,
7,
2,
2,
2,
2,
2,
2,
4,
2,
5,
3,
2,
4,
2,
2,
2,
4,
2,
2,
6,
2,
4,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
2,
6,
3,
6,
4,
4,
3,
6,
3,
2,
4,
4,
4,
3,
4,
2,
2,
2,
5,
4,
5,
4,
2,
2,
2,
2,
3,
2,
3,
4,
5,
4,
4,
4,
4,
4,
4,
1,
3,
3,
2,
4,
3,
2,
4,
2,
3,
2,
4,
5,
4,
4,
2,
3,
2,
4,
2,
4,
4,
2,
3,
3,
4,
3,
4,
4,
4,
6,
2,
2,
3,
2,
2,
3,
2,
3,
3,
4,
4,
5,
4,
3,
2,
2,
2,
2,
4,
4,
3,
5,
2,
7,
4,
4,
6,
4,
3,
2,
3,
3,
3,
2,
3,
2,
2,
4,
4,
4,
3,
2,
4,
3,
2,
4,
2,
4,
2,
2,
4,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
5,
7,
5,
5,
3,
3,
3,
2,
4,
2,
4,
3,
4,
4,
4,
2,
2,
2,
3,
5,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
6,
3,
3,
4,
4,
4,
5,
2,
4,
4,
2,
4,
3,
3,
3,
4,
2,
3,
4,
2,
3,
4,
3,
4,
4,
3,
2,
6,
3,
5,
4,
4,
2,
3,
2,
3,
3,
2,
4,
4,
4,
2,
4,
4,
3,
6,
2,
3,
2,
2,
2,
2,
2,
5,
3,
5,
4,
2,
2,
2,
2,
2,
2,
2,
2,
5,
6,
6,
2,
5,
4,
4,
2,
2,
4,
4,
4,
3,
4,
4,
2,
4,
3,
2,
3,
4,
2,
3,
2,
4,
4,
2,
6,
2,
2,
5,
2,
3,
2,
2,
1,
2,
4,
4,
4,
3,
3,
2,
7,
3,
3,
4,
4,
3,
4,
5,
4,
7,
4,
4,
4,
5,
3,
2,
2,
1,
2,
4,
4,
4,
2,
2,
4,
2,
4,
4,
4,
5,
4,
6,
3,
4,
2,
2,
3,
2,
2,
2,
4,
2,
4,
2,
2,
2,
3,
3,
2,
3,
5,
5,
2,
5,
4,
2,
2,
4,
3,
4,
6,
6,
4,
5,
7,
2,
4,
3,
4,
3,
3,
3,
4,
4,
2,
3,
2,
3,
4,
4,
2,
3,
2,
8,
7,
4,
4,
4,
4,
3,
3,
4,
4,
2,
2,
4,
2,
2,
4,
4,
2,
2,
4,
4,
2,
3,
3,
2,
2,
4,
5,
5,
4,
3,
4,
4,
2,
3,
3,
4,
7,
4,
4,
4,
2,
4,
4,
4,
3,
3,
2,
4,
3,
2,
2,
2,
2,
3,
4,
4,
4,
3,
3,
5,
4,
3,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
3,
2,
2,
5,
3,
5,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
4,
4,
3,
2,
3,
3,
3,
4,
3,
5,
3,
2,
5,
3,
6,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
2,
4,
3,
3,
2,
3,
5,
3,
4,
3,
3,
3,
2,
3,
3,
3,
3,
2,
8,
3,
4,
2,
2,
2,
3,
2,
5,
3,
4,
4,
4,
4,
3,
2,
2,
4,
3,
3,
4,
2,
4,
2,
2,
4,
4,
5,
2,
2,
4,
2,
2,
2,
2,
3,
5,
2,
3,
3,
5,
9,
4,
6,
4,
3,
4,
3,
3,
3,
3,
2,
2,
2,
3,
4,
5,
3,
2,
4,
3,
2,
2,
3,
2,
3,
2,
3,
3,
4,
4,
2,
4,
2,
3,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
1,
2,
2,
4,
3,
4,
4,
4,
2,
4,
3,
3,
3,
2,
3,
2,
3,
3,
4,
4,
5,
3,
3,
2,
2,
2,
5,
2,
2,
2,
2,
5,
1,
2,
4,
4,
3,
3,
4,
4,
2,
5,
3,
4,
3,
3,
2,
2,
2,
4,
3,
3,
4,
3,
4,
2,
4,
2,
2,
2,
4,
5,
2,
4,
2,
4,
4,
3,
2,
4,
2,
3,
2,
1,
2,
4,
4,
4,
4,
2,
2,
2,
5,
2,
3,
3,
2,
2,
3,
3,
2,
3,
4,
5,
2,
4,
4,
4,
3,
2,
2,
3,
2,
4,
2,
4,
2,
3,
4,
2,
3,
3,
3,
2,
4,
4,
2,
4,
2,
4,
4,
4,
3,
4,
3,
4,
2,
2,
2,
4,
2,
2,
5,
2,
5,
4,
3,
2,
3,
2,
3,
1,
3,
3,
2,
2,
2,
3,
5,
2,
2,
2,
4,
3,
4,
4,
5,
5,
3,
4,
3,
5,
2,
4,
3,
3,
3,
3,
4,
2,
3,
3,
4,
4,
5,
3,
2,
2,
2,
4,
4,
4,
2,
4,
4,
2,
2,
2,
4,
7,
4,
5,
4,
2,
2,
2,
4,
4,
2,
4,
2,
2,
2,
2,
4,
4,
5,
4,
4,
3,
2,
2,
3,
3,
2,
3,
4,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
3,
3,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
2,
3,
2,
3,
7,
3,
3,
2,
3,
3,
1,
3,
3,
2,
3,
3,
5,
2,
3,
3,
2,
3,
5,
4,
2,
3,
2,
3,
5,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
1,
2,
4,
4,
7,
6,
4,
3,
4,
3,
3,
3,
3,
3,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
5,
5,
4,
4,
3,
2,
3,
2,
2,
2,
2,
2,
4,
5,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
4,
4,
4,
4,
11,
4,
4,
4,
6,
4,
4,
4,
4,
2,
2,
7,
5,
2,
5,
3,
4,
3,
4,
3,
4,
3,
2,
2,
3,
3,
3,
3,
6,
2,
2,
4,
2,
2,
3,
1,
2,
4,
4,
4,
2,
2,
4,
3,
4,
2,
5,
4,
3,
3,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
4,
4,
4,
4,
8,
3,
2,
3,
3,
1,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
3,
2,
2,
4,
2,
2,
3,
3,
5,
4,
3,
2,
5,
4,
2,
3,
2,
2,
2,
4,
2,
2,
4,
2,
4,
3,
4,
4,
4,
4,
2,
2,
2,
4,
2,
3,
3,
3,
3,
2,
7,
4,
4,
5,
3,
3,
3,
3,
1,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
5,
2,
3,
3,
5,
2,
3,
2,
3,
3,
3,
4,
2,
3,
4,
4,
4,
2,
3,
3,
2,
7,
2,
2,
3,
4,
3,
4,
2,
3,
4,
1,
2,
2,
2,
2,
1,
2,
2,
2,
4,
4,
4,
2,
4,
5,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
2,
2,
6,
4,
4,
4,
3,
1,
8,
3,
2,
4,
2,
6,
2,
5,
4,
5,
2,
2,
3,
3,
3,
3,
3,
2,
4,
4,
2,
2,
4,
1,
4,
2,
4,
3,
2,
4,
4,
4,
4,
3,
3,
3,
4,
4,
2,
2,
2,
4,
4,
4,
4,
2,
2,
3,
3,
3,
4,
4,
4,
4,
7,
4,
5,
5,
4,
4,
3,
4,
2,
2,
2,
2,
4,
2,
2,
2,
4,
6,
2,
6,
2,
4,
5,
3,
4,
4,
4,
4,
2,
3,
4,
3,
4,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
6,
3,
2,
2,
4,
3,
3,
2,
3,
1,
3,
3,
3,
4,
3,
2,
2,
4,
3,
2,
2,
3,
2,
4,
2,
2,
4,
3,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
4,
4,
5,
4,
4,
4,
4,
4,
3,
4,
4,
4,
6,
4,
2,
5,
2,
2,
2,
4,
2,
2,
3,
1,
3,
1,
6,
2,
6,
5,
3,
2,
5,
4,
6,
2,
2,
2,
2,
2,
2,
3,
4,
5,
3,
3,
3,
2,
5,
4,
3,
4,
4,
2,
2,
2,
3,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
1,
1,
1,
1,
2,
4,
4,
3,
4,
4,
3,
3,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
2,
2,
3,
3,
2,
3,
3,
4,
4,
5,
4,
4,
4,
4,
4,
4,
4,
2,
3,
5,
2,
3,
5,
3,
2,
5,
5,
5,
3,
5,
3,
4,
4,
4,
4,
2,
3,
2,
4,
2,
2,
2,
4,
4,
1,
2,
1,
3,
2,
2,
4,
4,
3,
3,
4,
4,
3,
3,
3,
2,
2,
4,
3,
5,
5,
2,
2,
7,
3,
3,
3,
5,
3,
2,
3,
3,
4,
2,
2,
3,
3,
2,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
1,
4,
4,
2,
3,
2,
2,
6,
3,
3,
5,
2,
4,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
1,
2,
2,
2,
9,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
5,
4,
4,
4,
4,
3,
2,
6,
6,
3,
4,
4,
2,
2,
2,
1,
4,
2,
4,
2,
2,
4,
4,
3,
3,
3,
5,
4,
3,
4,
4,
4,
2,
2,
6,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
2,
4,
2,
4,
6,
4,
4,
4,
3,
2,
2,
2,
5,
3,
4,
2,
2,
4,
2,
4,
4,
2,
4,
4,
2,
4,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
4,
5,
4,
2,
4,
2,
4,
3,
2,
3,
4,
3,
3,
3,
3,
2,
3,
4,
3,
3,
3,
2,
2,
6,
2,
3,
3,
3,
3,
3,
5,
3,
3,
3,
5,
4,
3,
2,
4,
4,
10,
3,
6,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
5,
4,
3,
4,
3,
4,
4,
4,
5,
3,
6,
2,
3,
5,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
4,
2,
3,
3,
3,
2,
3,
2,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
1,
3,
6,
4,
3,
2,
4,
3,
2,
2,
2,
2,
3,
3,
4,
5,
5,
3,
10,
4,
4,
3,
3,
2,
3,
3,
5,
4,
4,
3,
3,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
5,
2,
2,
3,
2,
4,
4,
4,
2,
4,
3,
4,
3,
3,
4,
4,
2,
3,
3,
3,
2,
5,
3,
3,
4,
3,
2,
6,
3,
2,
4,
4,
2,
2,
2,
2,
3,
3,
3,
2,
3,
4,
4,
3,
4,
2,
2,
3,
2,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
3,
3,
3,
4,
4,
5,
4,
3,
2,
3,
4,
2,
4,
3,
2,
1,
2,
4,
2,
2,
5,
4,
2,
7,
4,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
2,
5,
2,
3,
1,
2,
4,
2,
3,
3,
3,
3,
5,
3,
2,
4,
4,
4,
2,
4,
4,
2,
4,
4,
2,
3,
5,
2,
2,
2,
3,
4,
3,
4,
2,
3,
4,
4,
4,
3,
4,
5,
5,
5,
5,
5,
6,
5,
4,
3,
4,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
2,
5,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
4,
4,
3,
2,
4,
2,
2,
2,
4,
4,
2,
4,
2,
3,
2,
6,
1,
2,
4,
5,
3,
4,
4,
3,
3,
2,
3,
1,
2,
5,
2,
2,
2,
2,
5,
3,
5,
5,
4,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
2,
3,
3,
3,
2,
2,
4,
3,
4,
2,
3,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
3,
2,
5,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
7,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
2,
3,
5,
2,
3,
2,
2,
2,
2,
3,
3,
2,
1,
4,
4,
4,
2,
2,
2,
3,
3,
2,
3,
3,
5,
4,
2,
4,
3,
4,
5,
4,
3,
3,
2,
2,
3,
3,
5,
3,
3,
2,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
6,
3,
2,
3,
4,
4,
4,
4,
2,
4,
3,
3,
2,
3,
4,
4,
3,
2,
2,
2,
1,
2,
5,
5,
5,
5,
3,
4,
5,
4,
3,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
3,
4,
4,
4,
4,
4,
3,
4,
2,
4,
6,
4,
3,
6,
4,
3,
4,
3,
2,
4,
3,
2,
5,
4,
7,
5,
3,
3,
3,
3,
4,
3,
3,
4,
3,
5,
4,
4,
3,
3,
7,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
3,
3,
4,
4,
5,
3,
4,
2,
4,
3,
2,
2,
2,
2,
2,
2,
4,
2,
4,
2,
3,
4,
4,
3,
3,
2,
2,
2,
3,
5,
3,
5,
4,
4,
1,
2,
3,
3,
1,
4,
2,
2,
2,
4,
5,
4,
3,
4,
4,
5,
5,
5,
2,
2,
2,
3,
3,
4,
2,
2,
2,
2,
2,
2,
5,
3,
3,
3,
3,
5,
3,
3,
5,
4,
4,
2,
4,
4,
4,
5,
4,
3,
4,
2,
5,
2,
4,
4,
3,
4,
2,
2,
5,
5,
2,
3,
2,
2,
2,
2,
3,
3,
4,
3,
3,
3,
5,
4,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
3,
2,
3,
4,
4,
3,
3,
2,
2,
3,
2,
2,
3,
3,
1,
2,
2,
3,
2,
3,
4,
4,
4,
2,
2,
3,
2,
3,
5,
4,
4,
2,
2,
2,
2,
2,
4,
4,
4,
6,
4,
4,
4,
4,
2,
3,
3,
4,
5,
3,
7,
4,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
3,
2,
2,
2,
2,
2,
3,
3,
5,
2,
3,
3,
3,
2,
2,
4,
4,
7,
5,
5,
5,
5,
4,
3,
4,
3,
2,
2,
2,
3,
3,
3,
7,
3,
5,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
2,
4,
4,
2,
2,
4,
5,
4,
7,
4,
2,
6,
4,
2,
2,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
4,
2,
2,
4,
2,
2,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
4,
4,
4,
3,
3,
2,
6,
5,
2,
2,
4,
6,
6,
4,
4,
4,
4,
3,
3,
2,
3,
4,
4,
2,
2,
3,
4,
6,
2,
4,
2,
2,
2,
3,
2,
1,
3,
3,
3,
3,
2,
4,
3,
4,
4,
4,
4,
2,
5,
4,
3,
2,
5,
3,
2,
2,
4,
7,
4,
6,
4,
7,
4,
4,
3,
2,
4,
3,
3,
4,
3,
2,
2,
2,
2,
6,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
5,
7,
4,
2,
9,
7,
4,
3,
3,
5,
3,
3,
3,
5,
5,
4,
4,
6,
6,
5,
2,
3,
3,
2,
2,
2,
2,
4,
3,
3,
4,
5,
3,
5,
4,
3,
6,
2,
4,
4,
4,
4,
4,
4,
2,
4,
2,
4,
1,
2,
6,
4,
1,
3,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
5,
4,
3,
3,
4,
4,
4,
3,
5,
2,
5,
3,
2,
4,
3,
4,
4,
6,
3,
2,
2,
2,
2,
2,
3,
2,
4,
3,
3,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
3,
3,
4,
4,
4,
4,
3,
4,
4,
4,
3,
4,
3,
4,
3,
2,
2,
4,
2,
2,
4,
3,
3,
5,
5,
3,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
5,
4,
4,
4,
2,
4,
4,
5,
5,
5,
3,
2,
6,
3,
2,
2,
6,
4,
3,
2,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
3,
1,
3,
3,
4,
4,
5,
2,
4,
2,
2,
4,
3,
4,
4,
2,
3,
2,
3,
2,
5,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
5,
5,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
3,
2,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
3,
4,
5,
3,
3,
2,
3,
2,
2,
4,
2,
2,
2,
3,
2,
6,
4,
2,
4,
4,
2,
3,
1,
3,
3,
3,
3,
2,
3,
2,
4,
3,
4,
4,
3,
3,
2,
6,
3,
4,
2,
3,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
2,
5,
2,
3,
3,
3,
2,
2,
2,
6,
2,
5,
2,
2,
5,
2,
4,
4,
4,
2,
4,
4,
2,
3,
2,
2,
4,
1,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
6,
2,
2,
3,
5,
2,
2,
2,
2,
2,
2,
3,
3,
5,
3,
3,
2,
1,
3,
3,
3,
2,
4,
3,
4,
3,
3,
4,
2,
3,
3,
1,
1,
5,
5,
5,
5,
5,
3,
3,
3,
3,
2,
4,
3,
3,
3,
3,
2,
3,
3,
1,
5,
3,
7,
4,
4,
7,
4,
3,
8,
3,
4,
4,
6,
3,
4,
4,
4,
4,
3,
6,
9,
6,
3,
4,
3,
10,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
3,
4,
2,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
4,
3,
2,
3,
4,
4,
3,
3,
3,
3,
3,
3,
6,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
1,
2,
2,
3,
3,
4,
3,
3,
4,
3,
3,
3,
3,
5,
2,
2,
3,
2,
3,
3,
3,
3,
2,
4,
3,
4,
3,
3,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
7,
2,
2,
2,
3,
3,
3,
3,
5,
5,
3,
3,
2,
3,
3,
5,
5,
3,
3,
5,
2,
4,
4,
3,
4,
2,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
5,
3,
4,
3,
3,
4,
4,
4,
2,
3,
2,
2,
4,
2,
3,
1,
4,
2,
3,
4,
4,
4,
2,
2,
3,
3,
2,
4,
2,
4,
4,
2,
7,
4,
4,
4,
2,
4,
4,
3,
3,
5,
4,
3,
3,
3,
6,
2,
4,
3,
3,
2,
2,
3,
4,
3,
3,
3,
3,
3,
4,
3,
4,
4,
4,
2,
2,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
3,
9,
4,
2,
2,
2,
3,
2,
3,
3,
4,
4,
4,
3,
3,
3,
2,
2,
2,
3,
6,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
1,
3,
4,
5,
5,
3,
2,
3,
3,
3,
2,
3,
4,
3,
3,
4,
4,
5,
4,
2,
2,
3,
2,
4,
2,
4,
4,
4,
3,
4,
2,
2,
2,
4,
3,
2,
3,
2,
4,
3,
2,
2,
4,
2,
2,
4,
5,
3,
5,
2,
2,
3,
3,
4,
3,
2,
3,
3,
3,
6,
9,
3,
4,
4,
4,
2,
4,
4,
3,
4,
4,
2,
4,
4,
4,
3,
5,
4,
4,
3,
2,
2,
2,
2,
3,
4,
3,
3,
4,
5,
4,
4,
4,
1,
4,
4,
4,
4,
5,
4,
4,
2,
3,
3,
2,
3,
3,
3,
3,
2,
3,
5,
3,
3,
3,
3,
4,
4,
1,
2,
4,
2,
4,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
1,
4,
5,
3,
2,
3,
3,
3,
3,
3,
4,
4,
4,
5,
4,
3,
3,
4,
5,
4,
4,
4,
3,
3,
2,
3,
3,
2,
2,
5,
2,
2,
4,
2,
4,
3,
4,
4,
2,
1,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
2,
2,
2,
4,
2,
2,
2,
3,
1,
3,
3,
4,
4,
2,
3,
4,
2,
4,
5,
3,
2,
3,
2,
5,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
5,
4,
4,
4,
4,
2,
2,
4,
3,
3,
2,
3,
6,
3,
3,
3,
4,
1,
4,
4,
4,
4,
5,
5,
5,
6,
2,
3,
2,
2,
6,
4,
2,
4,
4,
3,
2,
2,
3,
3,
3,
3,
2,
3,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
4,
2,
3,
2,
3,
5,
4,
4,
7,
2,
4,
4,
2,
4,
3,
4,
7,
4,
4,
7,
4,
4,
8,
3,
4,
4,
4,
2,
5,
4,
6,
4,
9,
5,
2,
2,
4,
2,
2,
4,
4,
2,
4,
4,
2,
2,
2,
3,
3,
2,
3,
3,
5,
6,
3,
4,
3,
4,
2,
3,
2,
2,
2,
4,
3,
4,
4,
4,
3,
4,
2,
4,
7,
4,
5,
4,
4,
2,
4,
4,
4,
5,
3,
3,
2,
3,
2,
2,
4,
3,
3,
5,
2,
2,
2,
3,
5,
2,
3,
3,
2,
6,
6,
4,
4,
5,
4,
1,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
4,
7,
4,
3,
6,
4,
6,
2,
2,
2,
2,
3,
4,
3,
4,
2,
4,
6,
2,
2,
2,
3,
4,
4,
3,
3,
4,
2,
2,
3,
4,
4,
5,
4,
4,
4,
4,
4,
5,
5,
6,
6,
3,
3,
2,
3,
1,
2,
2,
2,
4,
2,
1,
2,
4,
4,
4,
4,
4,
4,
3,
2,
3,
2,
4,
4,
4,
4,
4,
3,
3,
2,
2,
1,
2,
4,
2,
2,
2,
4,
4,
2,
6,
4,
7,
3,
2,
6,
4,
2,
7,
4,
2,
2,
3,
2,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
6,
3,
3,
4,
3,
2,
1,
3,
5,
3,
5,
5,
3,
4,
2,
2,
2,
4,
3,
3,
3,
2,
3,
2,
2,
4,
2,
4,
4,
4,
4,
1,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
4,
3,
5,
2,
3,
2,
4,
2,
3,
4,
3,
2,
2,
2,
3,
2,
2,
2,
5,
5,
5,
6,
6,
6,
4,
5,
3,
2,
3,
4,
2,
4,
4,
4,
3,
2,
2,
2,
6,
5,
5,
6,
5,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
6,
4,
4,
4,
3,
4,
5,
4,
4,
2,
2,
4,
4,
4,
4,
4,
2,
5,
3,
4,
2,
2,
3,
2,
1,
4,
2,
3,
2,
4,
4,
4,
5,
4,
6,
5,
5,
2,
4,
4,
3,
3,
3,
6,
3,
3,
3,
4,
6,
3,
5,
3,
2,
2,
2,
4,
3,
4,
3,
3,
4,
2,
2,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
3,
3,
3,
2,
4,
4,
4,
5,
4,
4,
4,
3,
4,
2,
4,
3,
2,
4,
4,
2,
2,
1,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
3,
4,
3,
4,
3,
5,
4,
4,
4,
4,
4,
2,
4,
4,
3,
5,
2,
6,
3,
2,
2,
6,
3,
1,
2,
2,
2,
2,
2,
5,
4,
2,
7,
7,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
4,
4,
5,
4,
2,
2,
2,
4,
4,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
2,
4,
4,
7,
4,
5,
2,
4,
4,
7,
6,
4,
4,
5,
4,
5,
4,
1,
3,
2,
4,
3,
4,
4,
2,
3,
2,
3,
3,
8,
6,
4,
4,
5,
5,
5,
4,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
5,
3,
3,
2,
4,
3,
2,
2,
5,
4,
3,
4,
3,
4,
3,
2,
2,
2,
4,
4,
4,
5,
3,
5,
3,
2,
3,
3,
2,
2,
2,
3,
5,
3,
6,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
3,
2,
4,
3,
4,
4,
2,
4,
4,
2,
2,
3,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
1,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
3,
2,
4,
2,
4,
4,
4,
4,
4,
5,
3,
3,
3,
2,
2,
2,
2,
4,
2,
2,
3,
3,
4,
4,
4,
4,
5,
6,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
4,
4,
5,
5,
4,
3,
3,
3,
3,
2,
4,
2,
4,
6,
4,
4,
5,
5,
5,
4,
4,
4,
3,
4,
2,
2,
4,
3,
3,
2,
3,
3,
2,
2,
2,
3,
2,
2,
3,
3,
2,
2,
3,
2,
4,
3,
3,
5,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
3,
3,
2,
5,
4,
4,
3,
5,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
2,
1,
4,
2,
4,
2,
4,
4,
3,
3,
2,
3,
3,
5,
3,
4,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
5,
4,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
5,
4,
3,
2,
3,
3,
3,
2,
1,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
4,
3,
2,
4,
2,
2,
3,
2,
5,
4,
3,
4,
4,
2,
3,
3,
2,
5,
7,
6,
5,
4,
4,
2,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
3,
2,
4,
3,
2,
4,
1,
4,
4,
6,
5,
2,
2,
2,
2,
4,
1,
1,
1,
2,
4,
4,
2,
2,
3,
2,
2,
2,
2,
4,
4,
4,
2,
5,
3,
3,
2,
3,
2,
3,
3,
2,
3,
2,
2,
2,
2,
3,
4,
2,
2,
3,
3,
4,
4,
2,
3,
3,
4,
3,
4,
2,
4,
2,
3,
4,
3,
3,
3,
3,
2,
3,
3,
1,
3,
3,
3,
3,
4,
3,
3,
3,
4,
2,
3,
3,
4,
3,
2,
5,
4,
3,
2,
3,
2,
3,
2,
2,
4,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
4,
7,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
2,
2,
3,
2,
3,
2,
1,
2,
5,
3,
4,
4,
3,
4,
5,
5,
4,
7,
4,
1,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
4,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
3,
5,
1,
2,
2,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
4,
4,
3,
3,
3,
5,
3,
2,
4,
2,
3,
3,
3,
2,
2,
2,
4,
3,
4,
3,
3,
1,
2,
1,
3,
4,
2,
3,
2,
4,
2,
6,
5,
4,
2,
2,
2,
2,
3,
2,
2,
4,
3,
4,
3,
4,
2,
2,
5,
5,
2,
2,
3,
5,
2,
3,
3,
2,
3,
2,
1,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
1,
2,
3,
2,
2,
2,
2,
4,
5,
4,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
3,
3,
3,
3,
5,
6,
7,
3,
2,
2,
4,
3,
4,
2,
2,
2,
4,
4,
3,
2,
2,
3,
3,
2,
3,
5,
2,
4,
4,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
5,
4,
3,
5,
5,
4,
5,
4,
5,
4,
4,
3,
4,
3,
5,
2,
4,
3,
3,
4,
2,
3,
4,
2,
2,
2,
2,
1,
2,
3,
4,
3,
4,
2,
4,
4,
3,
6,
4,
2,
1,
4,
4,
2,
3,
3,
5,
3,
3,
3,
3,
3,
3,
4,
4,
2,
3,
4,
3,
2,
4,
3,
4,
3,
3,
4,
1,
4,
2,
2,
2,
2,
1,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
2,
5,
2,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
3,
2,
4,
4,
4,
3,
2,
3,
3,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
4,
1,
5,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
4,
2,
3,
2,
4,
6,
6,
3,
4,
4,
4,
3,
4,
4,
3,
5,
4,
4,
4,
2,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
5,
3,
4,
2,
2,
4,
2,
2,
2,
2,
5,
6,
4,
4,
5,
5,
2,
2,
2,
1,
3,
2,
2,
5,
4,
4,
4,
2,
2,
4,
2,
3,
3,
2,
1,
2,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
1,
1,
1,
2,
2,
4,
4,
2,
2,
4,
4,
4,
3,
3,
4,
4,
4,
2,
4,
4,
2,
4,
4,
5,
4,
4,
2,
3,
6,
5,
4,
3,
2,
4,
2,
2,
4,
2,
3,
4,
3,
3,
3,
4,
2,
2,
2,
2,
2,
5,
3,
5,
4,
4,
3,
2,
7,
5,
4,
3,
2,
4,
4,
2,
2,
3,
3,
2,
2,
2,
3,
5,
5,
4,
4,
1,
4,
4,
2,
2,
3,
3,
2,
3,
3,
3,
3,
2,
3,
6,
4,
3,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
4,
4,
3,
2,
3,
4,
4,
4,
2,
4,
2,
5,
5,
4,
3,
3,
4,
5,
3,
3,
3,
3,
4,
3,
3,
4,
2,
2,
4,
3,
4,
4,
3,
2,
4,
4,
2,
2,
2,
3,
2,
3,
2,
2,
3,
4,
2,
4,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
3,
3,
2,
2,
5,
2,
2,
1,
2,
2,
2,
2,
4,
3,
2,
4,
3,
3,
2,
4,
4,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
6,
6,
3,
2,
2,
1,
2,
2,
2,
2,
1,
3,
5,
6,
6,
4,
4,
3,
2,
6,
3,
2,
2,
2,
3,
2,
3,
3,
5,
3,
2,
4,
2,
3,
3,
3,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
3,
4,
3,
3,
2,
1,
3,
4,
5,
5,
3,
2,
4,
5,
5,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
6,
2,
2,
4,
2,
2,
3,
4,
2,
4,
4,
3,
4,
2,
4,
2,
1,
4,
3,
2,
2,
5,
3,
8,
4,
4,
2,
2,
2,
2,
2,
3,
5,
6,
4,
3,
3,
3,
3,
4,
3,
2,
5,
4,
4,
3,
5,
3,
3,
4,
2,
3,
2,
4,
4,
4,
3,
5,
3,
3,
4,
2,
2,
2,
2,
2,
2,
4,
2,
5,
4,
4,
2,
2,
2,
4,
4,
2,
3,
3,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
4,
4,
2,
4,
4,
4,
3,
4,
4,
2,
2,
2,
4,
4,
2,
3,
4,
4,
4,
2,
4,
4,
4,
3,
6,
4,
4,
3,
2,
4,
1,
2,
4,
2,
2,
2,
2,
4,
4,
4,
3,
2,
4,
3,
3,
2,
4,
4,
4,
2,
4,
4,
3,
5,
3,
2,
7,
1,
2,
2,
4,
2,
2,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
4,
3,
4,
4,
4,
4,
2,
2,
3,
3,
3,
5,
2,
2,
5,
2,
5,
3,
2,
4,
4,
5,
4,
3,
4,
4,
3,
1,
3,
3,
3,
3,
3,
5,
4,
4,
4,
2,
4,
3,
3,
3,
3,
2,
3,
4,
3,
2,
2,
2,
2,
2,
3,
2,
6,
2,
2,
4,
4,
3,
3,
4,
4,
5,
7,
4,
2,
4,
2,
4,
4,
2,
3,
1,
4,
3,
4,
5,
2,
2,
2,
3,
3,
4,
4,
3,
3,
2,
2,
2,
6,
1,
3,
2,
3,
3,
3,
3,
3,
4,
4,
3,
3,
2,
4,
4,
2,
2,
2,
3,
2,
5,
4,
4,
2,
6,
3,
4,
4,
2,
2,
3,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
2,
4,
2,
3,
3,
3,
2,
2,
4,
2,
2,
3,
4,
5,
2,
5,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
5,
2,
3,
4,
4,
4,
4,
5,
5,
5,
4,
4,
3,
3,
3,
3,
4,
2,
5,
2,
2,
2,
2,
2,
2,
3,
5,
5,
5,
7,
3,
2,
2,
4,
3,
4,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
4,
4,
2,
1,
3,
2,
5,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
3,
3,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
5,
5,
4,
4,
2,
4,
4,
4,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
2,
3,
2,
3,
8,
2,
4,
2,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
2,
3,
2,
4,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
3,
4,
2,
3,
2,
6,
4,
3,
3,
3,
3,
5,
4,
2,
4,
3,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
5,
2,
5,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
3,
3,
2,
2,
4,
3,
3,
3,
3,
2,
4,
4,
5,
4,
4,
5,
2,
4,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
4,
3,
4,
2,
2,
2,
2,
2,
5,
3,
2,
4,
4,
4,
4,
3,
2,
4,
2,
1,
3,
3,
2,
3,
4,
2,
4,
3,
3,
4,
2,
5,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
4,
4,
2,
4,
4,
4,
3,
4,
4,
2,
7,
3,
2,
2,
4,
4,
4,
2,
3,
4,
3,
6,
2,
3,
3,
3,
3,
4,
5,
2,
2,
3,
3,
4,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
3,
5,
5,
5,
4,
6,
5,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
1,
3,
4,
1,
3,
3,
3,
2,
4,
4,
4,
3,
3,
2,
2,
2,
1,
2,
1,
3,
3,
3,
3,
2,
4,
3,
3,
2,
4,
3,
5,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
2,
4,
3,
3,
2,
4,
4,
3,
3,
2,
2,
3,
2,
3,
3,
4,
4,
4,
4,
3,
3,
5,
3,
5,
5,
5,
3,
3,
5,
3,
3,
4,
2,
2,
6,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
3,
4,
2,
4,
4,
2,
4,
4,
2,
4,
3,
4,
4,
4,
4,
4,
4,
2,
2,
5,
4,
4,
2,
4,
4,
2,
3,
3,
3,
3,
3,
2,
3,
5,
5,
5,
5,
2,
2,
3,
3,
2,
2,
4,
3,
2,
2,
2,
4,
4,
4,
4,
2,
4,
6,
7,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
5,
4,
4,
4,
6,
3,
2,
3,
3,
2,
2,
2,
4,
2,
4,
2,
4,
4,
2,
3,
2,
2,
2,
4,
4,
3,
2,
4,
4,
3,
2,
3,
2,
3,
2,
1,
4,
4,
3,
3,
3,
3,
4,
3,
5,
3,
2,
3,
3,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
4,
4,
3,
1,
3,
2,
3,
3,
3,
3,
3,
3,
4,
5,
5,
3,
4,
3,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
4,
4,
3,
3,
4,
3,
3,
4,
2,
2,
2,
5,
4,
2,
2,
4,
4,
4,
3,
5,
3,
2,
2,
3,
4,
4,
4,
4,
4,
5,
5,
4,
3,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
8,
4,
4,
5,
3,
2,
4,
4,
3,
2,
4,
2,
2,
2,
2,
4,
4,
4,
5,
5,
2,
2,
5,
4,
3,
4,
3,
4,
2,
2,
3,
3,
2,
4,
4,
4,
4,
4,
3,
5,
4,
4,
3,
4,
4,
4,
4,
3,
2,
2,
3,
3,
2,
2,
3,
5,
4,
5,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
5,
3,
4,
4,
3,
4,
5,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
6,
4,
2,
2,
2,
3,
3,
2,
3,
4,
3,
3,
3,
2,
5,
2,
5,
5,
3,
4,
4,
4,
4,
2,
3,
5,
2,
5,
4,
2,
4,
4,
5,
1,
2,
4,
4,
5,
2,
5,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
2,
2,
3,
5,
3,
2,
2,
3,
3,
3,
3,
3,
4,
4,
2,
6,
4,
4,
2,
2,
2,
4,
4,
4,
5,
5,
4,
4,
2,
3,
4,
6,
2,
3,
3,
5,
3,
4,
5,
3,
3,
3,
3,
3,
3,
2,
2,
3,
6,
4,
3,
3,
3,
3,
3,
4,
3,
4,
4,
2,
2,
5,
2,
5,
2,
6,
3,
5,
1,
3,
2,
4,
2,
4,
2,
4,
4,
4,
3,
4,
4,
2,
4,
4,
2,
3,
2,
2,
4,
4,
4,
2,
3,
3,
5,
6,
2,
3,
4,
5,
2,
4,
4,
2,
3,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
2,
2,
3,
3,
2,
2,
3,
2,
5,
6,
6,
7,
6,
5,
3,
3,
4,
4,
2,
2,
4,
4,
4,
4,
7,
4,
3,
3,
4,
2,
2,
6,
4,
3,
4,
3,
4,
2,
4,
4,
3,
3,
4,
1,
4,
4,
4,
3,
3,
3,
2,
4,
3,
5,
4,
2,
7,
3,
2,
2,
2,
2,
6,
3,
3,
2,
2,
2,
6,
4,
4,
2,
2,
3,
2,
2,
2,
2,
3,
3,
2,
3,
3,
4,
4,
4,
2,
3,
3,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
5,
4,
4,
2,
2,
3,
2,
2,
3,
3,
3,
2,
2,
3,
2,
2,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
2,
2,
2,
2,
2,
2,
3,
7,
2,
4,
5,
3,
3,
3,
3,
3,
3,
2,
4,
4,
1,
4,
4,
6,
2,
3,
2,
4,
2,
4,
4,
2,
4,
6,
2,
5,
4,
5,
3,
4,
3,
4,
4,
4,
4,
2,
4,
3,
4,
4,
3,
5,
5,
5,
6,
3,
6,
4,
2,
2,
7,
6,
2,
8,
2,
2,
2,
4,
4,
2,
2,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
3,
2,
3,
3,
4,
5,
4,
2,
2,
2,
4,
2,
2,
3,
2,
1,
3,
5,
4,
4,
4,
4,
4,
6,
5,
3,
3,
6,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
2,
2,
5,
2,
2,
2,
3,
3,
3,
2,
3,
4,
4,
2,
4,
4,
2,
4,
2,
4,
4,
4,
2,
2,
2,
2,
2,
3,
4,
2,
4,
5,
2,
3,
3,
4,
2,
2,
2,
2,
2,
4,
7,
4,
4,
6,
2,
4,
2,
2,
3,
3,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
5,
3,
4,
3,
7,
2,
2,
2,
7,
4,
2,
4,
2,
4,
2,
2,
2,
2,
4,
2,
2,
4,
3,
2,
3,
4,
6,
5,
5,
2,
3,
6,
3,
6,
3,
6,
5,
2,
3,
3,
2,
3,
3,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
3,
5,
5,
2,
3,
3,
2,
3,
3,
3,
2,
8,
4,
3,
5,
4,
2,
3,
2,
3,
3,
4,
4,
4,
4,
7,
4,
3,
3,
1,
3,
2,
2,
2,
3,
3,
3,
2,
2,
4,
4,
2,
4,
2,
2,
3,
2,
4,
2,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
3,
3,
4,
3,
5,
4,
2,
3,
6,
2,
4,
2,
4,
2,
2,
2,
2,
4,
3,
4,
4,
3,
2,
3,
2,
2,
3,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
5,
5,
3,
5,
2,
7,
4,
3,
2,
3,
2,
4,
4,
4,
2,
4,
2,
2,
2,
3,
2,
3,
3,
5,
3,
3,
3,
3,
4,
3,
3,
4,
3,
6,
4,
4,
2,
2,
5,
6,
2,
2,
2,
2,
2,
2,
2,
2,
5,
3,
6,
3,
3,
3,
3,
2,
3,
3,
6,
3,
3,
3,
3,
3,
7,
5,
4,
4,
4,
2,
3,
5,
3,
4,
4,
4,
2,
5,
2,
4,
3,
3,
2,
2,
2,
2,
4,
2,
4,
3,
6,
4,
4,
3,
3,
6,
4,
2,
2,
4,
6,
3,
6,
4,
3,
4,
3,
3,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
2,
2,
2,
3,
5,
4,
2,
4,
3,
5,
3,
2,
2,
1,
2,
4,
2,
7,
3,
3,
3,
2,
2,
4,
2,
2,
4,
5,
2,
2,
1,
4,
2,
1,
4,
4,
4,
3,
6,
2,
3,
8,
6,
8,
6,
6,
3,
3,
3,
2,
2,
3,
2,
4,
4,
2,
2,
5,
4,
2,
4,
4,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
5,
2,
3,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
5,
3,
2,
4,
2,
5,
4,
4,
5,
3,
5,
7,
5,
3,
3,
3,
3,
3,
3,
4,
1,
2,
3,
4,
6,
5,
2,
2,
3,
3,
3,
2,
3,
4,
2,
4,
4,
4,
4,
3,
4,
4,
3,
3,
5,
4,
3,
4,
2,
2,
3,
2,
2,
4,
4,
2,
1,
4,
4,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
3,
3,
3,
3,
2,
6,
6,
3,
7,
4,
4,
4,
3,
3,
4,
4,
2,
2,
3,
2,
4,
2,
2,
2,
2,
4,
3,
3,
4,
4,
4,
4,
4,
5,
3,
2,
4,
4,
2,
5,
3,
3,
3,
3,
3,
3,
3,
4,
4,
6,
5,
4,
2,
3,
4,
3,
4,
4,
4,
4,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
5,
5,
2,
4,
5,
4,
3,
4,
4,
4,
6,
4,
4,
6,
4,
2,
2,
2,
4,
4,
5,
3,
4,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
4,
4,
4,
3,
3,
6,
3,
3,
2,
4,
4,
3,
2,
4,
4,
4,
7,
4,
4,
3,
2,
6,
3,
4,
4,
3,
4,
2,
2,
4,
2,
4,
3,
3,
2,
3,
2,
5,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
3,
2,
2,
3,
2,
4,
3,
4,
4,
3,
4,
4,
3,
2,
2,
3,
2,
3,
4,
3,
4,
2,
3,
4,
4,
4,
4,
1,
4,
4,
2,
2,
2,
3,
4,
4,
6,
3,
6,
5,
4,
4,
3,
4,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
3,
4,
2,
4,
4,
4,
2,
2,
4,
2,
2,
4,
3,
2,
2,
4,
4,
4,
2,
4,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
4,
2,
4,
3,
2,
3,
2,
2,
3,
4,
4,
4,
4,
4,
1,
4,
4,
4,
3,
2,
3,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
5,
4,
4,
2,
4,
3,
3,
6,
4,
4,
4,
6,
4,
4,
2,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
2,
4,
4,
2,
4,
8,
4,
4,
5,
4,
3,
4,
4,
3,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
4,
4,
2,
2,
2,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
5,
3,
2,
3,
3,
5,
2,
7,
4,
4,
7,
6,
4,
4,
5,
3,
2,
2,
3,
6,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
3,
2,
2,
3,
2,
2,
4,
2,
6,
3,
3,
3,
3,
3,
1,
4,
4,
4,
6,
1,
4,
3,
4,
4,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
4,
4,
4,
3,
3,
3,
2,
4,
2,
2,
3,
3,
3,
3,
3,
2,
8,
4,
2,
4,
6,
4,
4,
4,
4,
4,
2,
4,
5,
5,
3,
2,
5,
4,
4,
2,
2,
3,
3,
5,
5,
6,
6,
5,
5,
3,
4,
2,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
6,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
2,
2,
3,
4,
3,
3,
6,
4,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
3,
3,
6,
3,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
5,
3,
4,
1,
4,
4,
4,
4,
2,
3,
3,
3,
3,
2,
3,
3,
8,
5,
4,
4,
2,
3,
4,
2,
2,
2,
2,
2,
3,
2,
2,
7,
2,
3,
8,
10,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
4,
5,
4,
4,
4,
2,
3,
3,
3,
3,
3,
6,
7,
2,
2,
4,
5,
5,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
4,
4,
3,
4,
4,
3,
2,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
4,
3,
3,
5,
2,
3,
2,
2,
2,
3,
2,
3,
4,
2,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
2,
4,
3,
3,
3,
2,
2,
3,
2,
2,
2,
4,
2,
2,
4,
4,
4,
2,
3,
1,
3,
3,
5,
2,
2,
5,
3,
3,
4,
3,
3,
3,
3,
3,
3,
4,
1,
2,
2,
2,
2,
2,
4,
3,
3,
4,
2,
4,
4,
2,
4,
5,
4,
4,
4,
4,
4,
6,
3,
2,
4,
4,
3,
4,
4,
6,
3,
4,
4,
3,
2,
4,
2,
2,
4,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
5,
3,
4,
3,
4,
3,
4,
4,
2,
2,
3,
4,
4,
4,
1,
3,
4,
2,
4,
4,
5,
5,
5,
3,
4,
3,
4,
6,
3,
3,
2,
4,
2,
4,
4,
3,
1,
2,
4,
3,
3,
3,
4,
4,
4,
2,
3,
3,
3,
3,
3,
5,
3,
5,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
4,
3,
4,
2,
2,
3,
3,
4,
3,
3,
3,
3,
4,
3,
4,
2,
4,
2,
4,
2,
4,
2,
4,
3,
2,
4,
4,
4,
4,
3,
5,
6,
8,
3,
2,
2,
2,
2,
1,
2,
4,
2,
4,
2,
4,
4,
2,
2,
3,
2,
2,
1,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
3,
2,
6,
4,
6,
3,
3,
4,
4,
4,
4,
4,
3,
4,
2,
2,
4,
5,
8,
4,
4,
4,
3,
4,
2,
4,
3,
4,
7,
4,
3,
3,
2,
4,
3,
6,
4,
2,
3,
3,
4,
4,
4,
2,
6,
4,
3,
4,
3,
3,
4,
3,
3,
2,
4,
2,
2,
2,
3,
4,
6,
6,
4,
4,
3,
2,
5,
5,
2,
3,
2,
4,
7,
4,
3,
3,
2,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
7,
2,
3,
4,
4,
4,
2,
3,
2,
2,
4,
2,
1,
5,
3,
3,
3,
4,
4,
4,
5,
2,
8,
4,
2,
4,
2,
3,
2,
3,
1,
4,
1,
1,
1,
1,
5,
2,
5,
5,
4,
4,
4,
5,
4,
4,
2,
2,
2,
4,
3,
4,
5,
2,
2,
5,
2,
2,
4,
2,
2,
2,
4,
2,
4,
2,
3,
2,
4,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
3,
2,
3,
4,
4,
4,
4,
2,
3,
2,
4,
4,
4,
3,
3,
5,
4,
4,
3,
2,
2,
2,
2,
3,
2,
2,
2,
3,
3,
2,
3,
3,
2,
4,
3,
5,
2,
3,
5,
2,
4,
4,
2,
4,
4,
2,
2,
4,
4,
3,
3,
5,
3,
2,
4,
2,
3,
4,
3,
3,
4,
4,
5,
6,
5,
5,
4,
6,
3,
4,
4,
4,
4,
4,
3,
2,
3,
7,
3,
3,
3,
3,
5,
3,
3,
3,
2,
4,
4,
4,
3,
2,
2,
4,
2,
5,
3,
7,
3,
3,
3,
3,
2,
4,
1,
2,
3,
3,
3,
6,
3,
5,
3,
3,
3,
3,
4,
4,
5,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
8,
4,
3,
4,
6,
4,
4,
4,
3,
4,
4,
6,
4,
4,
4,
4,
2,
4,
4,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
1,
1,
2,
4,
2,
2,
4,
4,
3,
2,
2,
3,
3,
3,
4,
3,
3,
4,
3,
3,
3,
3,
3,
5,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
2,
2,
3,
6,
4,
3,
3,
5,
2,
6,
2,
3,
2,
2,
2,
2,
3,
3,
2,
3,
3,
1,
3,
3,
3,
3,
3,
2,
4,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
2,
5,
5,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
2,
4,
3,
4,
2,
4,
3,
4,
4,
3,
2,
3,
2,
4,
2,
3,
3,
3,
5,
2,
3,
3,
3,
2,
3,
2,
3,
2,
2,
3,
4,
4,
1,
4,
6,
4,
4,
4,
5,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
5,
6,
2,
6,
4,
3,
6,
3,
3,
2,
3,
3,
2,
3,
4,
4,
3,
2,
3,
6,
2,
3,
3,
3,
3,
4,
4,
4,
2,
4,
6,
4,
4,
4,
4,
4,
6,
4,
3,
3,
4,
2,
3,
2,
5,
3,
6,
3,
6,
5,
4,
4,
3,
2,
2,
3,
4,
2,
2,
4,
2,
4,
2,
3,
3,
3,
4,
3,
4,
6,
4,
4,
4,
8,
4,
2,
4,
3,
2,
4,
2,
4,
2,
4,
4,
2,
3,
2,
4,
4,
4,
4,
2,
4,
2,
4,
4,
4,
4,
3,
1,
2,
4,
3,
3,
3,
3,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
6,
1,
2,
2,
2,
5,
3,
2,
4,
3,
3,
3,
3,
2,
2,
4,
3,
2,
4,
3,
3,
3,
5,
5,
5,
5,
5,
3,
5,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
6,
4,
4,
8,
4,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
6,
2,
4,
4,
4,
3,
3,
4,
6,
2,
4,
3,
2,
2,
2,
2,
3,
2,
2,
1,
1,
1,
3,
2,
4,
4,
4,
4,
3,
4,
4,
2,
3,
4,
4,
2,
2,
2,
2,
3,
4,
6,
4,
4,
6,
2,
2,
4,
2,
5,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
4,
2,
2,
2,
4,
2,
3,
3,
7,
4,
2,
3,
3,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
3,
3,
3,
2,
3,
3,
4,
3,
1,
2,
2,
3,
2,
2,
3,
2,
4,
5,
4,
4,
3,
3,
4,
2,
4,
2,
2,
4,
4,
3,
6,
3,
6,
4,
4,
2,
4,
3,
2,
4,
4,
4,
3,
4,
4,
4,
2,
3,
3,
4,
3,
4,
4,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
4,
3,
6,
7,
4,
3,
2,
2,
6,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
3,
3,
2,
4,
4,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
7,
3,
2,
4,
4,
2,
2,
5,
4,
3,
3,
4,
2,
2,
4,
4,
3,
2,
2,
2,
3,
3,
4,
2,
3,
6,
4,
4,
3,
5,
2,
3,
4,
2,
5,
6,
3,
2,
4,
4,
3,
4,
5,
3,
3,
3,
4,
3,
2,
6,
3,
3,
3,
4,
3,
4,
3,
3,
4,
3,
3,
2,
4,
4,
2,
5,
4,
5,
4,
5,
5,
4,
2,
6,
5,
2,
2,
8,
2,
3,
4,
2,
4,
3,
3,
4,
2,
2,
3,
4,
3,
4,
3,
5,
5,
2,
2,
4,
4,
4,
5,
2,
7,
4,
4,
3,
2,
2,
2,
5,
2,
2,
3,
4,
4,
4,
5,
2,
2,
4,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
4,
2,
4,
3,
1,
4,
3,
2,
3,
3,
3,
3,
3,
4,
2,
2,
4,
4,
2,
2,
3,
5,
3,
3,
3,
3,
4,
4,
3,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
3,
2,
2,
3,
3,
2,
2,
4,
5,
4,
7,
6,
4,
4,
3,
3,
4,
3,
3,
3,
3,
4,
4,
5,
3,
3,
4,
7,
3,
5,
2,
6,
5,
2,
3,
3,
3,
1,
3,
4,
4,
4,
4,
4,
4,
7,
3,
4,
4,
4,
4,
4,
3,
5,
4,
3,
2,
2,
4,
3,
3,
4,
4,
4,
3,
2,
2,
2,
3,
3,
4,
4,
3,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
1,
4,
2,
3,
4,
4,
1,
3,
2,
4,
3,
3,
2,
4,
2,
2,
3,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
2,
5,
4,
2,
3,
2,
4,
3,
2,
4,
4,
3,
1,
3,
4,
4,
6,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
2,
3,
3,
2,
4,
3,
3,
4,
2,
4,
4,
5,
2,
3,
4,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
2,
3,
4,
3,
1,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
6,
4,
4,
4,
5,
7,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
2,
4,
3,
3,
4,
3,
2,
2,
2,
5,
2,
2,
3,
2,
2,
3,
3,
5,
4,
2,
7,
3,
3,
3,
2,
2,
3,
2,
2,
3,
2,
2,
2,
5,
3,
4,
3,
2,
2,
2,
2,
2,
4,
4,
2,
4,
2,
2,
2,
3,
4,
2,
2,
3,
2,
2,
4,
2,
2,
3,
3,
4,
3,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
6,
4,
4,
2,
2,
2,
1,
1,
4,
3,
4,
4,
5,
2,
2,
2,
2,
2,
2,
3,
2,
1,
2,
2,
4,
4,
4,
6,
3,
5,
4,
3,
4,
5,
5,
4,
3,
3,
4,
4,
5,
4,
2,
3,
2,
4,
4,
3,
4,
3,
3,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
4,
5,
3,
2,
4,
3,
4,
2,
2,
3,
4,
2,
3,
5,
5,
2,
5,
4,
5,
3,
5,
5,
3,
3,
5,
5,
2,
3,
5,
2,
4,
4,
4,
4,
6,
4,
3,
4,
2,
4,
3,
2,
4,
3,
5,
2,
8,
2,
2,
2,
2,
4,
4,
4,
4,
1,
2,
4,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
2,
6,
4,
7,
6,
2,
4,
3,
2,
4,
4,
4,
4,
2,
3,
2,
5,
4,
7,
4,
5,
3,
3,
3,
3,
5,
3,
3,
3,
3,
2,
4,
2,
2,
3,
5,
3,
3,
4,
3,
4,
2,
2,
4,
4,
4,
4,
2,
4,
5,
3,
4,
2,
3,
4,
4,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
6,
3,
4,
3,
3,
6,
3,
3,
3,
6,
4,
4,
6,
4,
4,
1,
2,
3,
3,
4,
4,
3,
4,
4,
4,
4,
6,
4,
5,
3,
6,
6,
6,
3,
5,
5,
4,
3,
2,
3,
2,
4,
2,
4,
4,
2,
2,
2,
2,
3,
3,
3,
4,
2,
2,
2,
4,
4,
2,
3,
4,
3,
2,
2,
4,
4,
4,
3,
2,
2,
3,
2,
2,
4,
2,
3,
2,
4,
3,
2,
3,
1,
3,
3,
3,
2,
4,
4,
4,
3,
4,
4,
8,
5,
3,
3,
4,
4,
4,
4,
2,
4,
2,
4,
1,
3,
3,
4,
4,
4,
4,
4,
2,
2,
1,
2,
6,
2,
5,
2,
4,
3,
3,
2,
3,
8,
3,
3,
5,
1,
3,
3,
3,
4,
4,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
5,
3,
4,
3,
4,
3,
4,
6,
4,
3,
2,
4,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
6,
3,
2,
4,
4,
4,
4,
2,
2,
1,
2,
3,
2,
4,
1,
3,
2,
1,
1,
1,
2,
1,
1,
2,
2,
2,
1,
3,
2,
4,
2,
4,
3,
5,
5,
5,
2,
5,
4,
3,
5,
4,
6,
2,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
3,
1,
4,
4,
5,
4,
2,
7,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
2,
2,
3,
3,
6,
7,
4,
2,
3,
4,
2,
2,
2,
3,
2,
2,
3,
5,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
4,
4,
5,
3,
4,
3,
3,
2,
2,
2,
2,
3,
4,
4,
4,
2,
1,
2,
1,
5,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
4,
3,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
5,
3,
5,
2,
2,
3,
3,
3,
7,
1,
2,
3,
3,
4,
2,
7,
2,
3,
3,
3,
3,
2,
1,
3,
6,
2,
5,
3,
2,
4,
4,
7,
4,
3,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
1,
2,
2,
4,
4,
3,
3,
2,
4,
2,
2,
3,
3,
3,
5,
3,
2,
4,
4,
2,
4,
4,
4,
3,
3,
1,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
6,
2,
2,
3,
4,
2,
2,
2,
4,
2,
2,
3,
4,
4,
4,
4,
3,
5,
3,
3,
3,
4,
4,
4,
4,
3,
4,
4,
4,
2,
1,
2,
2,
3,
3,
2,
4,
5,
5,
6,
7,
2,
2,
3,
3,
4,
3,
4,
2,
6,
2,
2,
2,
4,
5,
3,
4,
4,
3,
7,
4,
4,
4,
5,
4,
4,
2,
4,
2,
2,
3,
2,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
3,
4,
5,
4,
4,
2,
2,
3,
2,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
2,
4,
3,
4,
7,
4,
2,
6,
4,
4,
4,
4,
3,
7,
4,
2,
4,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
6,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
2,
9,
4,
4,
1,
6,
6,
3,
3,
3,
1,
1,
3,
4,
5,
6,
4,
3,
3,
4,
4,
4,
4,
4,
3,
2,
3,
4,
3,
4,
5,
5,
2,
3,
5,
2,
3,
5,
4,
3,
5,
4,
4,
4,
4,
3,
3,
3,
4,
2,
5,
4,
4,
2,
2,
2,
4,
2,
2,
4,
6,
3,
3,
3,
7,
2,
3,
2,
3,
2,
4,
4,
2,
2,
3,
5,
3,
3,
4,
2,
5,
3,
4,
5,
4,
3,
3,
5,
5,
2,
5,
2,
2,
5,
3,
2,
3,
3,
3,
3,
4,
1,
5,
5,
3,
4,
4,
2,
5,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
3,
3,
2,
3,
2,
5,
5,
3,
3,
2,
3,
4,
3,
3,
3,
4,
4,
3,
4,
2,
4,
2,
3,
3,
3,
3,
4,
2,
3,
2,
2,
4,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
7,
2,
4,
4,
8,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
5,
3,
4,
3,
4,
4,
4,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
3,
4,
3,
3,
4,
1,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
5,
4,
6,
3,
2,
4,
1,
4,
2,
2,
4,
2,
3,
3,
3,
4,
4,
3,
5,
3,
2,
5,
3,
4,
4,
4,
4,
4,
2,
3,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
6,
4,
4,
2,
3,
4,
3,
3,
3,
2,
3,
4,
2,
3,
3,
3,
4,
4,
6,
2,
2,
2,
2,
3,
2,
4,
2,
5,
4,
6,
3,
4,
2,
4,
2,
3,
2,
2,
2,
2,
2,
2,
4,
5,
4,
4,
4,
3,
3,
3,
4,
4,
3,
6,
3,
5,
5,
5,
3,
4,
3,
3,
4,
4,
4,
2,
4,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
3,
3,
4,
3,
4,
2,
4,
2,
3,
3,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
7,
3,
4,
4,
4,
2,
3,
2,
2,
5,
2,
6,
3,
4,
3,
6,
4,
2,
4,
2,
2,
2,
3,
3,
2,
2,
3,
4,
3,
3,
3,
4,
3,
2,
2,
4,
5,
5,
4,
4,
9,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
3,
2,
5,
3,
6,
6,
4,
4,
6,
3,
4,
4,
3,
4,
3,
3,
4,
3,
4,
4,
3,
2,
2,
3,
4,
6,
4,
3,
2,
5,
4,
2,
2,
3,
2,
3,
3,
3,
4,
3,
3,
3,
3,
4,
4,
3,
4,
4,
3,
4,
3,
2,
4,
3,
5,
2,
4,
2,
4,
3,
3,
2,
3,
4,
2,
4,
3,
4,
2,
4,
4,
2,
2,
4,
4,
2,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
5,
1,
4,
4,
4,
4,
3,
2,
2,
4,
2,
1,
2,
3,
6,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
1,
2,
2,
2,
4,
2,
2,
2,
4,
4,
2,
2,
2,
2,
5,
3,
2,
2,
4,
5,
4,
5,
5,
5,
2,
5,
4,
2,
2,
4,
2,
2,
1,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
3,
2,
3,
3,
4,
4,
3,
5,
5,
2,
3,
5,
3,
4,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
6,
4,
2,
3,
3,
3,
3,
2,
3,
3,
5,
5,
2,
2,
3,
3,
4,
3,
2,
3,
2,
2,
3,
3,
2,
3,
3,
4,
4,
4,
4,
3,
3,
5,
5,
5,
3,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
3,
2,
4,
3,
2,
2,
2,
4,
3,
4,
4,
4,
4,
1,
4,
4,
4,
4,
4,
4,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
3,
3,
2,
2,
3,
5,
2,
4,
4,
5,
4,
4,
4,
4,
4,
4,
4,
3,
4,
5,
3,
3,
3,
3,
2,
3,
3,
3,
5,
3,
3,
3,
2,
6,
2,
3,
2,
3,
3,
2,
4,
4,
4,
4,
7,
4,
4,
3,
2,
5,
2,
3,
3,
3,
3,
3,
4,
3,
6,
6,
3,
3,
4,
3,
3,
2,
4,
2,
4,
5,
1,
4,
2,
3,
2,
4,
3,
3,
3,
4,
3,
3,
4,
5,
3,
4,
4,
4,
4,
3,
4,
4,
4,
3,
3,
4,
2,
3,
3,
4,
2,
2,
2,
4,
4,
4,
3,
3,
3,
2,
4,
2,
3,
4,
6,
4,
4,
4,
2,
4,
3,
2,
3,
4,
1,
2,
5,
1,
3,
3,
3,
2,
2,
2,
2,
3,
3,
4,
2,
5,
5,
2,
5,
5,
3,
3,
4,
8,
4,
3,
3,
4,
4,
4,
4,
3,
2,
4,
7,
4,
2,
2,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
3,
4,
4,
2,
2,
4,
4,
3,
3,
3,
2,
4,
4,
4,
2,
4,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
3,
4,
4,
4,
3,
2,
3,
4,
3,
2,
2,
4,
2,
2,
4,
5,
5,
2,
6,
5,
5,
2,
2,
3,
2,
2,
3,
3,
3,
2,
4,
5,
4,
4,
4,
4,
4,
4,
4,
2,
4,
5,
3,
3,
4,
2,
4,
3,
3,
3,
3,
2,
3,
2,
4,
4,
5,
4,
4,
5,
3,
4,
4,
4,
2,
4,
4,
3,
3,
4,
4,
6,
2,
4,
4,
4,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
3,
3,
2,
3,
3,
3,
2,
4,
3,
2,
3,
2,
4,
4,
3,
2,
4,
4,
4,
4,
4,
3,
5,
5,
5,
4,
6,
4,
4,
4,
5,
4,
4,
1,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
7,
2,
3,
3,
3,
4,
5,
3,
3,
3,
2,
4,
2,
4,
4,
4,
4,
2,
2,
2,
3,
3,
4,
4,
4,
3,
3,
2,
4,
3,
4,
3,
3,
2,
4,
2,
5,
3,
3,
5,
6,
3,
3,
3,
2,
4,
4,
3,
3,
4,
4,
4,
4,
2,
4,
4,
1,
2,
2,
3,
2,
2,
2,
4,
3,
3,
3,
4,
5,
2,
5,
4,
2,
2,
4,
4,
2,
3,
3,
3,
3,
4,
2,
4,
4,
5,
5,
5,
2,
4,
4,
3,
6,
3,
3,
4,
4,
3,
2,
2,
2,
2,
4,
3,
5,
4,
4,
4,
1,
4,
4,
4,
4,
5,
5,
5,
5,
5,
4,
5,
3,
4,
2,
3,
2,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
3,
2,
2,
3,
3,
4,
4,
6,
4,
3,
3,
4,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
2,
1,
2,
2,
4,
4,
6,
4,
4,
2,
2,
3,
2,
4,
4,
8,
5,
2,
3,
3,
3,
2,
4,
3,
2,
3,
5,
4,
5,
4,
2,
4,
6,
2,
2,
2,
3,
4,
4,
4,
4,
1,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
4,
4,
3,
4,
3,
4,
2,
2,
1,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
6,
3,
3,
3,
2,
3,
6,
2,
3,
3,
3,
3,
6,
4,
3,
2,
5,
4,
4,
4,
4,
3,
3,
2,
3,
8,
3,
4,
2,
3,
3,
6,
3,
4,
2,
4,
3,
3,
5,
5,
3,
1,
2,
4,
4,
4,
2,
3,
2,
3,
4,
2,
2,
2,
1,
3,
4,
2,
2,
2,
4,
4,
4,
2,
3,
1,
3,
3,
2,
3,
6,
3,
3,
3,
2,
3,
2,
5,
4,
4,
2,
3,
4,
4,
2,
3,
4,
5,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
4,
2,
4,
1,
2,
4,
4,
3,
3,
4,
3,
3,
3,
3,
2,
2,
3,
2,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
5,
5,
2,
2,
2,
2,
5,
5,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
5,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
5,
3,
2,
3,
3,
2,
3,
3,
1,
3,
3,
4,
4,
2,
3,
5,
3,
2,
2,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
5,
5,
2,
3,
4,
3,
4,
7,
4,
2,
3,
4,
3,
2,
3,
4,
5,
3,
7,
4,
2,
2,
4,
4,
2,
3,
3,
2,
2,
2,
4,
4,
1,
4,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
3,
8,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
4,
2,
2,
2,
2,
3,
2,
5,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
4,
2,
2,
4,
4,
2,
2,
2,
2,
4,
3,
4,
5,
2,
3,
3,
4,
2,
4,
3,
2,
4,
4,
4,
4,
4,
5,
4,
2,
4,
2,
3,
6,
4,
4,
3,
4,
3,
2,
2,
3,
3,
2,
2,
2,
3,
2,
2,
2,
1,
4,
1,
2,
3,
2,
2,
4,
2,
3,
3,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
3,
3,
2,
3,
3,
4,
2,
3,
2,
3,
3,
4,
2,
2,
3,
4,
1,
3,
3,
3,
3,
4,
3,
6,
4,
4,
3,
2,
5,
2,
2,
4,
4,
4,
4,
2,
2,
4,
4,
2,
4,
1,
4,
3,
3,
2,
5,
4,
4,
2,
2,
3,
3,
2,
2,
5,
3,
3,
2,
3,
5,
2,
3,
2,
4,
2,
2,
4,
2,
2,
4,
2,
2,
4,
4,
4,
4,
4,
3,
1,
2,
2,
2,
4,
3,
4,
4,
4,
2,
2,
2,
3,
2,
2,
3,
4,
2,
5,
2,
2,
3,
2,
3,
3,
4,
3,
4,
4,
3,
4,
2,
2,
3,
4,
2,
4,
4,
2,
2,
3,
6,
4,
4,
4,
4,
3,
5,
2,
4,
4,
4,
4,
4,
2,
1,
3,
3,
2,
2,
3,
4,
4,
3,
4,
4,
2,
3,
4,
2,
2,
2,
2,
2,
3,
4,
2,
4,
4,
4,
5,
2,
2,
2,
5,
4,
5,
5,
3,
5,
4,
2,
4,
3,
5,
2,
3,
4,
3,
3,
2,
4,
4,
3,
3,
3,
4,
3,
4,
3,
4,
4,
3,
4,
4,
4,
4,
2,
2,
3,
2,
4,
1,
2,
4,
2,
2,
3,
2,
3,
2,
2,
2,
4,
4,
3,
2,
6,
2,
4,
2,
2,
3,
2,
2,
5,
3,
4,
3,
3,
4,
2,
4,
3,
3,
4,
1,
3,
3,
3,
3,
3,
2,
2,
4,
4,
2,
2,
4,
4,
3,
2,
2,
2,
2,
2,
4,
7,
2,
3,
3,
3,
3,
3,
2,
3,
2,
5,
6,
3,
3,
2,
4,
4,
4,
4,
4,
2,
2,
3,
3,
2,
2,
2,
2,
4,
4,
3,
5,
5,
3,
3,
3,
3,
5,
4,
4,
3,
5,
3,
2,
4,
3,
3,
2,
6,
3,
4,
2,
2,
3,
3,
2,
4,
3,
4,
3,
2,
3,
3,
4,
4,
5,
3,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
5,
3,
6,
2,
3,
4,
5,
3,
4,
2,
6,
2,
2,
2,
2,
4,
4,
2,
3,
3,
4,
2,
3,
3,
1,
2,
2,
2,
3,
3,
3,
3,
3,
5,
4,
4,
5,
2,
3,
6,
6,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
4,
6,
3,
4,
4,
2,
2,
3,
3,
4,
2,
2,
3,
5,
6,
3,
4,
4,
3,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
5,
3,
4,
4,
4,
2,
2,
4,
3,
2,
5,
5,
4,
2,
3,
4,
6,
4,
3,
4,
3,
3,
3,
4,
3,
4,
4,
3,
4,
4,
5,
2,
3,
2,
4,
1,
2,
2,
3,
2,
3,
3,
4,
6,
5,
2,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
4,
2,
4,
4,
6,
4,
2,
4,
1,
4,
4,
4,
5,
4,
5,
2,
2,
2,
2,
6,
2,
2,
2,
3,
4,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
5,
1,
2,
4,
3,
4,
3,
3,
3,
2,
3,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
2,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
4,
3,
3,
3,
2,
3,
3,
2,
2,
2,
4,
4,
2,
5,
2,
5,
2,
3,
6,
3,
3,
4,
5,
4,
4,
3,
2,
1,
5,
1,
5,
3,
3,
2,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
2,
4,
4,
6,
6,
3,
2,
3,
5,
3,
3,
3,
3,
2,
3,
2,
5,
3,
4,
4,
2,
4,
2,
3,
3,
3,
2,
4,
4,
2,
3,
4,
3,
3,
3,
2,
2,
2,
1,
1,
2,
2,
2,
2,
3,
3,
4,
3,
4,
3,
2,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
3,
2,
3,
4,
2,
4,
4,
2,
2,
4,
4,
2,
3,
3,
4,
2,
4,
2,
4,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
5,
6,
3,
2,
2,
2,
2,
4,
4,
3,
2,
2,
1,
2,
2,
2,
3,
3,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
3,
3,
4,
3,
4,
2,
4,
2,
3,
6,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
2,
2,
2,
2,
2,
6,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
5,
7,
2,
2,
4,
2,
3,
3,
5,
5,
5,
3,
5,
5,
5,
2,
2,
2,
4,
4,
7,
5,
3,
3,
3,
4,
2,
3,
2,
3,
4,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
4,
4,
4,
4,
6,
4,
4,
2,
2,
4,
6,
4,
2,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
2,
2,
4,
4,
3,
3,
3,
4,
3,
6,
2,
4,
9,
4,
2,
4,
4,
2,
2,
4,
2,
3,
5,
2,
4,
4,
5,
5,
6,
3,
2,
4,
4,
4,
4,
4,
3,
4,
3,
4,
4,
4,
2,
3,
3,
3,
3,
2,
3,
3,
3,
2,
3,
3,
2,
5,
3,
4,
4,
4,
5,
4,
2,
4,
4,
4,
5,
4,
2,
2,
2,
3,
4,
4,
1,
1,
2,
1,
4,
6,
2,
3,
3,
3,
4,
7,
2,
4,
3,
3,
2,
2,
4,
4,
3,
3,
4,
5,
4,
2,
4,
3,
3,
2,
2,
3,
3,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
2,
2,
2,
3,
3,
4,
2,
4,
3,
3,
2,
3,
2,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
3,
2,
2,
3,
3,
3,
4,
3,
3,
5,
3,
4,
2,
2,
2,
2,
6,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
3,
2,
5,
2,
2,
4,
4,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
4,
3,
4,
4,
3,
4,
2,
2,
2,
3,
8,
4,
5,
2,
4,
1,
2,
3,
2,
4,
2,
4,
3,
4,
4,
7,
4,
2,
3,
2,
2,
2,
4,
5,
2,
2,
2,
2,
2,
4,
3,
3,
5,
3,
4,
2,
2,
2,
4,
2,
3,
4,
4,
4,
3,
4,
4,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
4,
3,
4,
4,
4,
2,
4,
4,
5,
2,
3,
4,
4,
3,
3,
2,
3,
2,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
4,
4,
2,
2,
3,
2,
4,
7,
4,
2,
4,
4,
5,
5,
1,
3,
3,
3,
2,
3,
3,
3,
3,
4,
2,
4,
2,
4,
2,
4,
2,
2,
6,
3,
3,
2,
2,
3,
2,
3,
2,
3,
2,
2,
4,
2,
4,
2,
4,
3,
3,
3,
2,
2,
4,
4,
3,
4,
3,
3,
3,
3,
3,
4,
3,
2,
2,
2,
3,
4,
2,
4,
3,
2,
2,
4,
2,
3,
4,
5,
4,
4,
4,
4,
3,
2,
1,
2,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
1,
3,
2,
2,
4,
3,
3,
2,
4,
4,
4,
4,
4,
5,
4,
4,
3,
2,
3,
3,
4,
4,
2,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
6,
3,
4,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
3,
2,
5,
4,
3,
3,
3,
7,
3,
5,
5,
2,
2,
3,
3,
3,
2,
3,
2,
2,
5,
2,
3,
3,
4,
2,
4,
4,
2,
4,
3,
3,
6,
3,
1,
4,
4,
3,
3,
3,
5,
4,
4,
3,
3,
2,
2,
3,
3,
4,
4,
4,
2,
2,
4,
4,
4,
5,
3,
3,
3,
3,
5,
2,
2,
4,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
2,
2,
3,
2,
3,
2,
4,
3,
5,
2,
5,
2,
3,
3,
4,
5,
2,
2,
5,
2,
2,
4,
3,
3,
3,
2,
2,
2,
2,
3,
6,
3,
2,
5,
2,
2,
4,
4,
4,
4,
4,
2,
4,
6,
6,
4,
2,
3,
3,
3,
3,
2,
5,
3,
4,
4,
4,
4,
4,
2,
3,
4,
4,
3,
3,
3,
3,
4,
4,
1,
3,
4,
4,
4,
3,
2,
4,
2,
4,
4,
4,
4,
4,
3,
2,
4,
6,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
4,
4,
2,
4,
2,
4,
2,
3,
2,
2,
2,
3,
3,
4,
4,
4,
6,
2,
3,
3,
2,
4,
2,
5,
5,
3,
3,
4,
2,
2,
3,
1,
3,
2,
3,
4,
2,
3,
2,
4,
3,
2,
3,
3,
3,
2,
3,
5,
2,
2,
3,
3,
2,
1,
2,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
4,
2,
5,
5,
4,
2,
2,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
3,
5,
5,
6,
3,
4,
4,
2,
5,
2,
2,
4,
3,
3,
4,
4,
5,
5,
4,
4,
3,
4,
2,
3,
4,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
4,
3,
4,
4,
2,
2,
4,
3,
4,
4,
4,
3,
3,
3,
3,
2,
2,
3,
3,
4,
2,
4,
2,
4,
2,
4,
4,
4,
4,
2,
2,
2,
4,
2,
2,
4,
3,
2,
4,
2,
4,
4,
2,
2,
4,
3,
4,
2,
3,
4,
6,
8,
2,
4,
2,
4,
3,
3,
4,
2,
7,
7,
1,
7,
4,
2,
3,
4,
4,
2,
2,
3,
3,
3,
2,
3,
3,
4,
4,
3,
4,
3,
3,
4,
3,
2,
3,
3,
2,
3,
3,
3,
5,
2,
3,
4,
5,
4,
2,
2,
4,
4,
3,
4,
2,
4,
3,
4,
2,
2,
3,
3,
3,
2,
4,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
2,
3,
2,
2,
2,
3,
3,
3,
3,
2,
3,
3,
4,
3,
2,
3,
2,
2,
4,
5,
5,
3,
3,
3,
2,
3,
3,
2,
2,
4,
2,
5,
4,
5,
3,
3,
3,
4,
3,
2,
3,
3,
3,
3,
2,
3,
2,
4,
3,
3,
2,
2,
3,
4,
3,
6,
3,
4,
5,
3,
5,
4,
4,
2,
2,
4,
3,
4,
5,
3,
4,
2,
2,
3,
2,
5,
4,
4,
2,
4,
4,
4,
1,
3,
2,
4,
2,
4,
3,
4,
3,
2,
4,
2,
2,
3,
2,
5,
5,
6,
6,
3,
3,
3,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
3,
2,
4,
3,
5,
3,
4,
4,
3,
3,
2,
4,
4,
3,
2,
2,
4,
2,
2,
4,
3,
4,
4,
4,
2,
2,
4,
7,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
5,
3,
4,
4,
5,
5,
5,
6,
4,
2,
4,
5,
4,
4,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
4,
5,
4,
4,
2,
4,
4,
6,
2,
3,
2,
2,
3,
3,
5,
3,
4,
3,
1,
4,
4,
4,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
4,
3,
4,
4,
2,
4,
5,
4,
3,
3,
4,
4,
4,
2,
2,
4,
4,
2,
2,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
4,
2,
2,
2,
3,
4,
6,
4,
4,
4,
5,
2,
4,
4,
3,
3,
4,
2,
4,
4,
3,
2,
2,
4,
4,
4,
5,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
2,
4,
3,
3,
7,
2,
4,
3,
3,
3,
5,
2,
3,
3,
2,
3,
2,
2,
3,
3,
3,
1,
3,
2,
4,
7,
3,
4,
2,
4,
4,
3,
4,
7,
4,
4,
4,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
4,
2,
2,
4,
3,
3,
4,
4,
3,
4,
4,
2,
4,
4,
2,
4,
2,
4,
4,
3,
3,
4,
3,
3,
3,
6,
6,
7,
1,
1,
2,
4,
4,
4,
4,
2,
3,
1,
3,
3,
4,
2,
2,
2,
3,
3,
3,
6,
4,
2,
2,
3,
3,
5,
3,
4,
3,
5,
2,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
3,
3,
4,
3,
3,
3,
5,
2,
2,
3,
2,
3,
3,
5,
3,
6,
2,
2,
2,
2,
2,
5,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
3,
4,
3,
3,
3,
3,
3,
2,
3,
2,
2,
1,
2,
2,
2,
1,
2,
3,
2,
4,
4,
4,
2,
3,
4,
4,
3,
2,
3,
2,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
2,
3,
3,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
4,
2,
3,
3,
2,
3,
3,
2,
4,
5,
1,
4,
2,
4,
4,
2,
3,
2,
3,
2,
2,
2,
2,
2,
4,
3,
2,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
5,
2,
5,
3,
3,
2,
2,
2,
2,
2,
2,
6,
2,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
6,
2,
3,
3,
4,
4,
3,
3,
3,
5,
2,
2,
2,
4,
4,
2,
2,
6,
2,
2,
4,
2,
2,
3,
4,
4,
2,
2,
3,
1,
3,
4,
3,
5,
4,
4,
4,
4,
4,
4,
5,
2,
2,
2,
2,
4,
5,
2,
2,
4,
4,
5,
3,
4,
3,
4,
4,
2,
4,
4,
4,
5,
2,
4,
4,
4,
4,
4,
4,
1,
2,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
4,
4,
2,
2,
2,
4,
4,
5,
4,
4,
4,
2,
4,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
3,
4,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
3,
3,
3,
2,
4,
4,
5,
2,
2,
5,
2,
2,
5,
2,
3,
3,
3,
3,
3,
3,
2,
3,
4,
4,
3,
2,
4,
4,
4,
2,
3,
6,
3,
3,
5,
2,
3,
3,
4,
4,
4,
4,
1,
4,
5,
4,
2,
2,
2,
5,
3,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
4,
3,
4,
4,
3,
2,
2,
4,
2,
3,
3,
3,
2,
4,
2,
3,
4,
4,
5,
4,
8,
2,
3,
4,
2,
2,
6,
4,
3,
2,
4,
1,
3,
5,
2,
2,
6,
4,
3,
4,
4,
2,
3,
3,
2,
4,
2,
3,
3,
4,
5,
2,
4,
4,
3,
3,
2,
4,
4,
4,
4,
4,
3,
8,
3,
3,
3,
1,
2,
2,
2,
2,
2,
5,
3,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
4,
2,
4,
5,
2,
2,
4,
2,
4,
4,
4,
4,
2,
4,
3,
4,
3,
6,
2,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
3,
4,
4,
2,
4,
2,
4,
2,
1,
2,
2,
4,
1,
2,
2,
2,
2,
4,
4,
3,
4,
5,
4,
5,
4,
2,
4,
2,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
1,
4,
2,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
2,
7,
3,
3,
3,
4,
2,
2,
5,
4,
4,
4,
3,
1,
4,
3,
3,
3,
3,
2,
3,
4,
2,
4,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
4,
6,
4,
3,
3,
3,
2,
3,
4,
3,
4,
3,
4,
4,
4,
4,
3,
3,
4,
2,
3,
3,
3,
4,
4,
2,
3,
5,
3,
3,
5,
3,
4,
4,
4,
3,
4,
3,
3,
3,
2,
2,
4,
7,
3,
4,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
5,
6,
4,
4,
6,
4,
5,
4,
4,
2,
4,
9,
2,
2,
2,
4,
3,
2,
4,
3,
3,
3,
2,
3,
4,
3,
2,
2,
6,
2,
4,
4,
4,
2,
5,
4,
6,
4,
6,
4,
4,
5,
5,
4,
5,
8,
4,
2,
2,
2,
2,
3,
3,
3,
5,
3,
4,
5,
3,
2,
2,
1,
4,
4,
6,
4,
2,
4,
2,
5,
2,
3,
3,
3,
4,
2,
2,
2,
1,
2,
2,
3,
3,
5,
3,
3,
4,
4,
4,
3,
2,
3,
2,
5,
3,
3,
3,
4,
3,
3,
2,
2,
2,
4,
2,
2,
4,
4,
3,
3,
2,
4,
4,
4,
3,
4,
4,
3,
2,
3,
3,
3,
3,
1,
2,
2,
2,
4,
3,
2,
4,
4,
4,
3,
3,
3,
4,
4,
5,
3,
2,
2,
2,
3,
4,
4,
3,
4,
6,
4,
3,
2,
2,
4,
3,
2,
4,
3,
4,
2,
4,
2,
2,
2,
4,
5,
3,
3,
4,
2,
3,
3,
4,
3,
2,
3,
2,
3,
4,
4,
3,
4,
2,
2,
1,
2,
4,
2,
2,
2,
1,
3,
2,
4,
3,
5,
2,
2,
2,
2,
3,
3,
3,
6,
5,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
6,
5,
3,
8,
2,
6,
4,
3,
4,
2,
3,
5,
3,
1,
2,
4,
4,
5,
3,
2,
2,
3,
2,
1,
2,
4,
5,
2,
4,
4,
4,
4,
2,
4,
2,
2,
3,
3,
3,
5,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
2,
4,
3,
3,
3,
2,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
5,
5,
2,
3,
4,
4,
2,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
5,
4,
4,
4,
4,
2,
4,
4,
2,
4,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
5,
5,
4,
6,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
4,
4,
4,
3,
5,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
3,
4,
4,
3,
2,
4,
4,
3,
2,
4,
4,
4,
2,
4,
3,
3,
1,
2,
4,
4,
4,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
4,
6,
3,
4,
5,
4,
5,
4,
4,
4,
4,
4,
3,
4,
4,
2,
3,
4,
3,
4,
4,
2,
4,
4,
2,
2,
3,
3,
3,
3,
5,
4,
6,
4,
5,
4,
4,
3,
2,
3,
4,
3,
2,
6,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
4,
3,
1,
2,
4,
3,
2,
4,
4,
4,
4,
4,
4,
2,
2,
4,
5,
3,
3,
4,
4,
4,
2,
4,
4,
5,
3,
2,
2,
3,
4,
4,
3,
4,
6,
2,
2,
2,
5,
1,
2,
5,
4,
4,
2,
3,
4,
4,
2,
4,
4,
3,
3,
3,
2,
2,
3,
2,
3,
3,
2,
4,
4,
2,
2,
4,
4,
3,
2,
4,
1,
3,
2,
3,
3,
3,
3,
3,
2,
3,
4,
4,
2,
3,
3,
4,
3,
3,
3,
3,
3,
5,
3,
4,
4,
3,
2,
2,
2,
2,
3,
3,
2,
3,
3,
4,
5,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
2,
3,
3,
2,
2,
4,
3,
3,
4,
4,
4,
2,
4,
4,
5,
4,
2,
2,
4,
4,
2,
4,
4,
3,
5,
5,
4,
4,
4,
5,
4,
5,
2,
4,
3,
3,
2,
2,
4,
5,
3,
4,
4,
5,
2,
2,
4,
4,
4,
4,
2,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
6,
4,
5,
6,
4,
3,
2,
3,
2,
2,
4,
3,
2,
2,
2,
5,
5,
4,
4,
7,
2,
3,
3,
4,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
5,
3,
3,
4,
2,
5,
3,
4,
3,
3,
3,
3,
3,
6,
4,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
7,
3,
7,
3,
5,
5,
6,
4,
5,
2,
4,
5,
4,
2,
4,
5,
3,
5,
3,
5,
4,
2,
4,
3,
3,
4,
5,
2,
3,
2,
6,
2,
3,
3,
4,
2,
4,
2,
2,
2,
2,
5,
5,
6,
3,
6,
4,
2,
3,
4,
4,
4,
6,
4,
2,
4,
4,
2,
6,
2,
4,
2,
4,
4,
4,
4,
4,
2,
3,
2,
1,
2,
3,
2,
3,
4,
2,
3,
2,
3,
4,
2,
3,
3,
3,
3,
3,
3,
2,
4,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
3,
2,
2,
2,
4,
4,
5,
4,
4,
3,
3,
2,
4,
4,
4,
4,
2,
4,
2,
2,
5,
3,
2,
2,
2,
2,
2,
3,
4,
3,
2,
2,
4,
4,
3,
3,
3,
3,
5,
2,
3,
3,
3,
4,
4,
5,
3,
3,
4,
4,
4,
3,
4,
3,
3,
3,
4,
2,
4,
3,
3,
2,
3,
4,
3,
7,
2,
3,
3,
2,
4,
2,
3,
4,
4,
2,
2,
4,
4,
4,
4,
2,
4,
5,
4,
4,
4,
4,
2,
2,
6,
2,
3,
2,
2,
4,
2,
5,
5,
3,
6,
5,
2,
3,
2,
2,
2,
3,
3,
4,
8,
3,
4,
3,
3,
2,
3,
3,
3,
3,
2,
4,
4,
4,
4,
2,
4,
2,
3,
2,
2,
2,
3,
4,
3,
4,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
5,
3,
3,
3,
3,
3,
2,
1,
2,
3,
4,
4,
2,
5,
2,
2,
2,
2,
2,
4,
3,
4,
4,
4,
2,
3,
3,
1,
2,
1,
3,
2,
3,
4,
2,
3,
4,
3,
3,
4,
4,
4,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
4,
4,
2,
2,
4,
4,
5,
3,
2,
2,
3,
4,
4,
3,
3,
5,
4,
4,
4,
5,
2,
4,
4,
4,
4,
4,
2,
4,
4,
5,
5,
4,
4,
3,
4,
2,
2,
2,
2,
6,
2,
2,
1,
1,
3,
3,
3,
3,
7,
3,
4,
3,
3,
3,
2,
3,
1,
3,
3,
4,
5,
3,
4,
4,
3,
2,
3,
3,
5,
2,
3,
5,
3,
3,
9,
4,
4,
4,
4,
2,
2,
4,
4,
3,
3,
4,
4,
4,
3,
2,
2,
3,
3,
3,
3,
2,
3,
3,
4,
4,
4,
3,
4,
4,
2,
2,
5,
4,
4,
5,
4,
3,
3,
3,
6,
4,
4,
4,
4,
2,
4,
2,
3,
4,
5,
2,
5,
2,
2,
2,
2,
4,
2,
5,
4,
2,
5,
5,
3,
4,
2,
6,
3,
6,
5,
3,
3,
2,
2,
5,
4,
4,
2,
4,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
4,
1,
2,
4,
2,
2,
2,
2,
2,
2,
1,
2,
1,
3,
3,
3,
3,
6,
2,
2,
4,
3,
3,
3,
4,
4,
2,
3,
3,
7,
3,
3,
3,
3,
3,
3,
2,
5,
2,
2,
4,
4,
4,
4,
3,
3,
2,
2,
3,
3,
4,
2,
2,
3,
3,
3,
3,
3,
4,
3,
3,
4,
3,
2,
4,
4,
2,
2,
2,
4,
2,
2,
3,
3,
2,
2,
3,
3,
3,
5,
2,
2,
2,
2,
4,
4,
2,
2,
2,
1,
4,
4,
5,
4,
4,
4,
3,
3,
3,
3,
4,
2,
3,
4,
4,
1,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
6,
4,
4,
4,
3,
4,
8,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
4,
4,
5,
4,
4,
3,
3,
2,
4,
4,
5,
4,
4,
4,
3,
2,
5,
4,
6,
6,
2,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
3,
2,
2,
4,
2,
3,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
4,
2,
3,
4,
4,
5,
2,
3,
2,
3,
3,
3,
4,
4,
2,
3,
2,
3,
4,
4,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
6,
6,
6,
6,
3,
3,
4,
3,
2,
3,
1,
2,
4,
4,
4,
2,
2,
2,
3,
3,
4,
4,
2,
4,
4,
5,
4,
3,
5,
4,
4,
2,
4,
6,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
5,
2,
3,
3,
3,
3,
2,
3,
3,
2,
5,
2,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
3,
4,
5,
5,
3,
4,
4,
4,
2,
2,
2,
3,
2,
3,
2,
2,
4,
3,
2,
2,
2,
4,
4,
7,
4,
2,
3,
2,
3,
4,
4,
2,
2,
3,
4,
3,
3,
4,
4,
4,
5,
3,
4,
3,
2,
2,
2,
2,
2,
2,
1,
4,
2,
2,
2,
1,
1,
1,
1,
1,
1,
1,
1,
1,
3,
4,
5,
5,
2,
3,
4,
4,
4,
3,
4,
2,
6,
2,
3,
3,
3,
2,
2,
2,
3,
6,
2,
2,
2,
2,
2,
4,
2,
4,
2,
1,
2,
2,
2,
3,
5,
3,
2,
2,
2,
5,
1,
2,
4,
4,
2,
2,
3,
2,
5,
6,
3,
3,
3,
3,
2,
3,
3,
1,
2,
4,
4,
4,
2,
2,
3,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
1,
3,
2,
4,
4,
4,
3,
2,
2,
3,
2,
5,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
3,
2,
5,
3,
2,
3,
2,
3,
5,
5,
3,
4,
4,
4,
4,
2,
4,
4,
4,
3,
4,
4,
2,
4,
3,
4,
3,
4,
3,
3,
5,
3,
2,
3,
5,
3,
2,
2,
4,
4,
4,
3,
4,
3,
3,
5,
3,
2,
2,
3,
4,
5,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
2,
2,
4,
2,
4,
3,
2,
3,
2,
4,
5,
5,
3,
6,
6,
4,
3,
3,
4,
3,
2,
6,
3,
1,
4,
2,
2,
3,
2,
2,
2,
4,
4,
4,
5,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
2,
2,
5,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
1,
3,
3,
3,
3,
3,
3,
5,
3,
2,
3,
3,
2,
2,
3,
3,
6,
5,
4,
4,
7,
3,
2,
1,
2,
4,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
1,
3,
3,
1,
3,
3,
3,
3,
1,
2,
2,
2,
2,
1,
4,
6,
4,
5,
4,
6,
4,
4,
2,
2,
4,
2,
2,
3,
2,
5,
4,
4,
7,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
3,
4,
4,
3,
4,
4,
3,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
4,
4,
4,
4,
3,
2,
4,
2,
3,
2,
2,
6,
2,
3,
3,
4,
2,
4,
4,
4,
3,
2,
2,
2,
2,
5,
1,
4,
4,
2,
2,
2,
2,
2,
4,
3,
2,
4,
3,
2,
2,
4,
3,
2,
2,
2,
2,
4,
4,
4,
5,
2,
2,
2,
3,
4,
4,
2,
4,
2,
2,
4,
2,
3,
3,
4,
3,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
2,
4,
4,
5,
4,
4,
4,
3,
3,
3,
3,
4,
4,
4,
3,
2,
1,
6,
3,
3,
3,
3,
3,
3,
4,
6,
3,
2,
4,
2,
3,
2,
2,
4,
2,
2,
4,
4,
4,
2,
2,
2,
3,
4,
2,
4,
4,
2,
5,
4,
4,
4,
4,
4,
4,
4,
8,
4,
3,
2,
4,
2,
4,
2,
1,
4,
3,
5,
5,
3,
5,
4,
4,
3,
3,
3,
3,
2,
2,
3,
2,
4,
2,
3,
2,
2,
2,
2,
3,
4,
4,
4,
3,
4,
3,
4,
4,
3,
3,
3,
5,
4,
4,
5,
4,
4,
2,
3,
1,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
4,
4,
9,
4,
4,
4,
4,
3,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
2,
2,
3,
4,
2,
3,
2,
2,
4,
3,
3,
3,
4,
4,
5,
3,
4,
2,
2,
4,
3,
2,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
5,
5,
2,
2,
3,
3,
3,
3,
3,
4,
4,
2,
4,
3,
4,
2,
4,
4,
4,
2,
4,
2,
2,
4,
3,
2,
2,
4,
3,
3,
4,
3,
3,
4,
4,
3,
3,
2,
3,
4,
2,
4,
2,
2,
2,
2,
2,
4,
4,
6,
7,
4,
3,
8,
2,
3,
6,
4,
6,
3,
5,
4,
4,
5,
3,
4,
4,
2,
2,
2,
3,
2,
3,
5,
4,
3,
2,
2,
2,
1,
2,
3,
3,
4,
4,
3,
3,
2,
2,
2,
1,
3,
2,
1,
3,
3,
7,
5,
3,
2,
2,
2,
2,
3,
3,
4,
3,
3,
2,
2,
3,
4,
4,
3,
2,
3,
3,
2,
4,
4,
3,
3,
4,
1,
5,
3,
3,
3,
4,
4,
2,
2,
3,
3,
2,
2,
6,
4,
2,
2,
2,
2,
2,
4,
5,
3,
4,
2,
3,
4,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
3,
4,
2,
1,
4,
2,
4,
3,
5,
4,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
2,
4,
3,
5,
3,
3,
2,
3,
4,
3,
3,
3,
2,
2,
2,
3,
2,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
4,
3,
4,
4,
2,
2,
2,
4,
2,
2,
4,
2,
4,
7,
3,
3,
3,
4,
6,
4,
4,
5,
6,
6,
3,
5,
7,
8,
7,
4,
3,
6,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
2,
2,
7,
2,
2,
2,
2,
4,
2,
3,
2,
4,
7,
2,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
4,
4,
4,
2,
2,
3,
3,
2,
5,
2,
7,
2,
2,
2,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
5,
3,
3,
2,
5,
5,
5,
3,
4,
4,
4,
5,
4,
3,
2,
4,
3,
3,
4,
3,
3,
3,
3,
4,
5,
2,
4,
2,
2,
3,
6,
2,
2,
2,
5,
3,
6,
4,
5,
5,
2,
2,
2,
3,
2,
3,
3,
3,
2,
2,
4,
4,
3,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
4,
3,
5,
6,
4,
3,
3,
4,
4,
3,
2,
2,
3,
5,
3,
2,
2,
4,
4,
2,
2,
2,
4,
5,
5,
3,
3,
2,
2,
4,
3,
1,
4,
4,
6,
4,
1,
4,
3,
5,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
4,
6,
2,
2,
3,
4,
4,
4,
2,
4,
3,
4,
3,
3,
3,
6,
3,
3,
6,
3,
4,
2,
4,
4,
3,
2,
2,
4,
4,
4,
5,
4,
4,
5,
2,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
3,
4,
3,
2,
1,
2,
3,
4,
3,
2,
1,
3,
3,
3,
3,
2,
3,
3,
2,
2,
4,
2,
4,
2,
2,
4,
4,
4,
3,
4,
5,
2,
3,
2,
3,
3,
2,
2,
3,
2,
2,
4,
3,
3,
3,
2,
2,
6,
2,
4,
2,
4,
3,
2,
2,
3,
4,
4,
2,
1,
4,
2,
3,
2,
3,
2,
3,
2,
2,
4,
4,
2,
5,
3,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
7,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
3,
2,
5,
2,
2,
2,
4,
4,
3,
4,
4,
2,
4,
4,
4,
4,
2,
2,
3,
3,
3,
4,
2,
4,
4,
2,
2,
6,
7,
4,
3,
3,
2,
3,
2,
3,
3,
4,
4,
4,
4,
3,
3,
4,
3,
3,
4,
3,
2,
3,
3,
3,
3,
4,
3,
2,
4,
5,
2,
4,
3,
5,
3,
2,
3,
3,
4,
4,
5,
4,
2,
3,
3,
3,
3,
3,
3,
5,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
3,
2,
4,
5,
6,
5,
4,
3,
3,
3,
4,
4,
2,
2,
3,
9,
2,
2,
2,
2,
2,
3,
2,
1,
1,
2,
2,
2,
3,
3,
3,
2,
4,
8,
3,
4,
2,
3,
4,
4,
4,
4,
4,
2,
4,
3,
2,
3,
2,
3,
4,
4,
4,
4,
4,
2,
4,
3,
2,
3,
2,
3,
2,
2,
3,
2,
2,
2,
3,
2,
2,
5,
2,
2,
2,
4,
2,
4,
3,
3,
2,
2,
2,
5,
5,
2,
2,
4,
3,
5,
4,
4,
4,
3,
3,
3,
2,
4,
3,
5,
7,
7,
5,
4,
4,
4,
4,
4,
5,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
2,
2,
3,
2,
4,
2,
2,
3,
3,
2,
2,
2,
2,
2,
1,
4,
2,
4,
4,
7,
4,
4,
4,
4,
4,
4,
3,
3,
3,
5,
3,
3,
3,
2,
2,
3,
2,
2,
3,
4,
5,
3,
3,
3,
2,
5,
2,
2,
3,
2,
3,
3,
5,
2,
3,
4,
4,
4,
5,
5,
4,
7,
4,
4,
3,
3,
3,
4,
2,
3,
4,
3,
2,
2,
3,
2,
4,
6,
2,
2,
2,
6,
4,
5,
4,
2,
5,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
4,
2,
3,
3,
7,
2,
4,
4,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
4,
4,
2,
4,
4,
4,
6,
3,
4,
4,
2,
4,
4,
3,
4,
2,
4,
2,
2,
4,
4,
3,
2,
4,
4,
4,
4,
4,
3,
2,
2,
4,
4,
5,
4,
4,
4,
4,
2,
3,
4,
8,
2,
4,
4,
2,
4,
4,
3,
2,
3,
3,
3,
3,
3,
5,
5,
2,
4,
2,
2,
4,
4,
5,
3,
3,
4,
4,
4,
4,
3,
5,
4,
4,
3,
1,
4,
4,
5,
4,
3,
2,
2,
2,
2,
2,
2,
3,
3,
4,
5,
4,
4,
4,
5,
3,
4,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
6,
4,
3,
3,
6,
4,
3,
3,
3,
3,
2,
3,
4,
4,
3,
4,
3,
3,
4,
4,
4,
1,
4,
2,
4,
2,
2,
6,
2,
4,
2,
3,
2,
7,
3,
3,
3,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
5,
4,
2,
4,
2,
2,
2,
3,
4,
5,
3,
2,
2,
3,
2,
3,
3,
5,
5,
7,
3,
2,
3,
3,
3,
2,
3,
3,
3,
4,
4,
3,
3,
3,
3,
4,
2,
2,
3,
3,
6,
3,
2,
2,
3,
1,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
3,
4,
4,
3,
3,
4,
4,
4,
3,
2,
2,
2,
3,
2,
4,
2,
2,
2,
4,
4,
2,
4,
3,
4,
2,
3,
2,
2,
2,
3,
3,
2,
4,
3,
4,
4,
2,
2,
4,
4,
2,
5,
4,
3,
4,
4,
4,
5,
4,
4,
4,
4,
4,
3,
5,
4,
2,
4,
4,
4,
3,
4,
4,
2,
2,
3,
4,
2,
2,
4,
4,
4,
4,
4,
3,
4,
4,
3,
3,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
6,
4,
3,
4,
2,
3,
4,
5,
2,
2,
3,
2,
3,
3,
3,
3,
4,
3,
3,
2,
1,
2,
3,
2,
2,
2,
4,
3,
3,
2,
4,
3,
2,
3,
5,
3,
3,
3,
5,
4,
2,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
6,
2,
2,
4,
3,
4,
3,
4,
4,
4,
5,
2,
2,
2,
2,
4,
4,
4,
2,
2,
5,
5,
2,
4,
4,
4,
4,
6,
3,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
1,
1,
1,
1,
3,
3,
4,
4,
4,
4,
5,
4,
2,
3,
2,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
3,
3,
4,
4,
4,
4,
4,
2,
1,
2,
4,
4,
4,
4,
2,
4,
2,
2,
3,
2,
4,
4,
2,
4,
4,
3,
3,
2,
2,
2,
2,
3,
2,
4,
5,
3,
4,
4,
4,
4,
3,
4,
2,
4,
1,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
4,
2,
2,
4,
4,
1,
3,
2,
5,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
2,
2,
3,
2,
2,
2,
3,
3,
2,
3,
4,
3,
4,
2,
4,
4,
5,
3,
4,
4,
4,
5,
5,
2,
3,
3,
5,
2,
2,
3,
3,
4,
6,
4,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
4,
3,
4,
2,
3,
4,
3,
2,
3,
2,
2,
2,
3,
2,
4,
2,
2,
4,
3,
3,
2,
2,
2,
4,
3,
3,
2,
3,
4,
3,
3,
3,
4,
4,
4,
5,
4,
4,
3,
2,
2,
4,
4,
3,
4,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
4,
4,
4,
2,
2,
6,
3,
3,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
3,
3,
4,
3,
4,
4,
2,
3,
4,
4,
5,
3,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
4,
4,
2,
3,
4,
3,
7,
4,
5,
3,
3,
3,
3,
3,
2,
2,
1,
4,
4,
4,
3,
4,
2,
2,
3,
2,
2,
4,
3,
2,
1,
2,
3,
5,
3,
2,
3,
2,
3,
5,
5,
3,
5,
4,
2,
5,
4,
5,
4,
2,
3,
3,
2,
4,
3,
2,
3,
2,
3,
3,
3,
3,
2,
3,
4,
3,
2,
2,
3,
4,
2,
4,
2,
2,
4,
5,
4,
2,
4,
2,
4,
3,
3,
4,
2,
4,
4,
2,
2,
4,
4,
3,
3,
2,
2,
4,
3,
4,
4,
3,
4,
4,
2,
2,
3,
2,
7,
4,
4,
4,
2,
5,
5,
2,
6,
2,
3,
5,
3,
4,
4,
5,
3,
2,
2,
5,
3,
3,
4,
2,
4,
6,
3,
3,
2,
3,
3,
3,
3,
3,
4,
2,
2,
2,
3,
1,
3,
2,
3,
2,
3,
4,
3,
3,
6,
4,
4,
2,
4,
2,
4,
4,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
1,
4,
4,
5,
4,
3,
4,
4,
4,
3,
3,
3,
1,
1,
2,
4,
3,
4,
4,
3,
3,
3,
4,
1,
2,
3,
1,
2,
2,
2,
4,
4,
4,
3,
2,
3,
3,
4,
2,
2,
2,
3,
3,
3,
3,
2,
2,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
5,
2,
2,
4,
1,
2,
3,
2,
2,
4,
4,
2,
2,
2,
3,
5,
2,
3,
2,
2,
4,
3,
3,
5,
2,
2,
4,
4,
4,
4,
4,
3,
3,
1,
4,
2,
2,
2,
2,
2,
3,
5,
5,
3,
4,
4,
4,
4,
2,
5,
5,
1,
2,
3,
4,
4,
3,
4,
7,
4,
4,
3,
3,
2,
2,
3,
3,
3,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
2,
3,
4,
3,
3,
3,
3,
2,
4,
7,
4,
4,
4,
5,
4,
2,
5,
5,
3,
7,
7,
4,
6,
6,
4,
4,
2,
4,
2,
2,
2,
4,
2,
2,
2,
2,
3,
5,
3,
4,
2,
2,
2,
4,
4,
2,
6,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
4,
3,
4,
1,
4,
3,
2,
3,
3,
5,
5,
3,
5,
4,
4,
4,
3,
3,
3,
5,
3,
3,
3,
1,
3,
2,
2,
2,
5,
2,
4,
2,
2,
4,
2,
2,
4,
4,
2,
2,
4,
2,
4,
4,
3,
2,
3,
3,
2,
2,
2,
2,
6,
4,
3,
2,
2,
2,
3,
3,
2,
5,
3,
2,
4,
4,
2,
4,
2,
3,
4,
6,
4,
4,
4,
3,
4,
4,
3,
3,
3,
6,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
4,
2,
4,
4,
5,
3,
3,
8,
5,
4,
4,
5,
2,
3,
4,
2,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
5,
5,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
6,
7,
2,
2,
5,
3,
2,
2,
5,
5,
6,
5,
5,
3,
5,
5,
3,
4,
2,
4,
4,
5,
4,
4,
4,
4,
2,
2,
4,
2,
4,
4,
3,
3,
3,
4,
3,
4,
2,
3,
3,
2,
3,
3,
10,
4,
6,
4,
3,
3,
3,
6,
2,
3,
4,
4,
2,
4,
5,
4,
4,
4,
5,
4,
2,
4,
4,
3,
2,
2,
4,
2,
2,
2,
4,
2,
3,
2,
4,
3,
6,
4,
3,
3,
3,
3,
3,
4,
4,
3,
4,
2,
3,
3,
4,
3,
3,
6,
1,
3,
4,
4,
2,
4,
4,
3,
5,
5,
3,
4,
2,
2,
2,
2,
5,
4,
4,
2,
4,
4,
2,
2,
4,
2,
3,
1,
2,
1,
1,
2,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
2,
2,
2,
4,
4,
3,
3,
2,
2,
2,
5,
7,
4,
5,
3,
2,
2,
2,
4,
3,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
2,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
2,
2,
2,
3,
3,
3,
4,
3,
2,
2,
4,
2,
6,
2,
2,
2,
1,
2,
3,
4,
4,
5,
2,
3,
3,
4,
3,
3,
3,
5,
3,
2,
2,
3,
2,
5,
2,
2,
4,
2,
2,
3,
4,
2,
3,
3,
4,
3,
2,
5,
1,
3,
4,
2,
5,
4,
2,
7,
2,
4,
4,
2,
4,
4,
2,
2,
2,
4,
4,
5,
2,
2,
1,
2,
3,
2,
2,
2,
2,
2,
2,
1,
4,
1,
3,
2,
4,
4,
2,
7,
2,
3,
2,
4,
5,
3,
4,
2,
3,
2,
2,
3,
3,
3,
4,
3,
4,
2,
5,
4,
3,
5,
4,
3,
5,
4,
3,
4,
4,
2,
2,
3,
3,
2,
3,
3,
2,
1,
3,
4,
3,
2,
2,
3,
3,
3,
5,
3,
3,
4,
4,
3,
4,
3,
5,
4,
5,
5,
2,
2,
4,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
5,
4,
2,
3,
4,
2,
4,
4,
3,
3,
2,
4,
8,
2,
2,
5,
3,
2,
3,
2,
5,
3,
5,
2,
6,
7,
6,
5,
3,
3,
6,
4,
4,
5,
5,
4,
3,
2,
3,
3,
5,
7,
4,
4,
4,
4,
6,
3,
3,
3,
3,
2,
3,
2,
4,
4,
2,
2,
4,
6,
2,
4,
4,
2,
3,
2,
4,
5,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
3,
3,
3,
5,
2,
2,
3,
2,
4,
2,
4,
4,
2,
2,
3,
3,
4,
4,
5,
4,
2,
5,
2,
3,
3,
2,
4,
2,
2,
3,
3,
4,
1,
2,
4,
3,
2,
5,
3,
2,
2,
3,
3,
3,
3,
3,
2,
1,
3,
2,
5,
3,
3,
2,
3,
3,
3,
7,
2,
4,
4,
4,
5,
2,
5,
5,
5,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
5,
3,
3,
4,
3,
4,
4,
2,
2,
3,
3,
3,
4,
6,
2,
3,
4,
5,
6,
5,
2,
4,
2,
5,
2,
4,
1,
4,
3,
3,
3,
4,
5,
7,
5,
2,
2,
2,
6,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
5,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
4,
4,
3,
3,
2,
2,
2,
1,
2,
4,
4,
4,
2,
2,
5,
2,
5,
6,
4,
4,
3,
3,
4,
2,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
3,
5,
5,
4,
4,
4,
2,
2,
4,
3,
5,
5,
5,
3,
4,
3,
3,
3,
4,
2,
3,
4,
4,
4,
4,
5,
7,
4,
3,
3,
3,
4,
4,
3,
2,
3,
3,
2,
2,
2,
3,
2,
2,
3,
3,
4,
2,
4,
3,
2,
3,
3,
4,
2,
3,
3,
2,
3,
4,
5,
2,
4,
4,
5,
4,
4,
3,
2,
2,
3,
3,
3,
3,
3,
2,
5,
2,
5,
3,
3,
5,
5,
2,
3,
4,
4,
4,
5,
2,
3,
4,
4,
2,
4,
3,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
2,
4,
4,
3,
4,
4,
2,
2,
3,
3,
2,
4,
4,
4,
3,
3,
3,
2,
3,
3,
2,
2,
4,
4,
2,
2,
2,
4,
2,
2,
2,
5,
3,
3,
3,
2,
3,
2,
2,
2,
3,
3,
2,
3,
3,
4,
4,
4,
4,
4,
4,
6,
4,
2,
3,
2,
3,
6,
4,
4,
4,
2,
4,
3,
2,
2,
2,
3,
3,
2,
2,
4,
4,
4,
2,
3,
3,
3,
2,
7,
4,
4,
4,
8,
6,
6,
2,
3,
2,
3,
2,
4,
4,
2,
4,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
4,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
3,
3,
3,
2,
5,
4,
6,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
3,
4,
3,
4,
6,
2,
7,
2,
4,
3,
3,
3,
2,
2,
2,
2,
5,
3,
3,
3,
3,
4,
4,
2,
4,
2,
2,
3,
3,
5,
3,
3,
2,
4,
3,
4,
4,
2,
3,
2,
4,
3,
2,
4,
1,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
7,
2,
3,
4,
2,
4,
4,
4,
4,
2,
3,
4,
4,
4,
5,
5,
2,
3,
3,
3,
2,
6,
2,
3,
3,
3,
2,
5,
5,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
5,
2,
2,
2,
2,
3,
3,
4,
2,
3,
2,
3,
4,
3,
2,
6,
2,
3,
3,
3,
2,
3,
4,
3,
3,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
5,
6,
3,
2,
6,
3,
6,
2,
2,
2,
3,
3,
3,
6,
1,
2,
2,
2,
5,
3,
4,
3,
6,
3,
3,
4,
4,
4,
4,
4,
4,
3,
2,
3,
2,
5,
2,
4,
4,
4,
4,
4,
2,
2,
6,
4,
4,
2,
2,
3,
2,
2,
4,
2,
2,
3,
3,
2,
2,
3,
2,
3,
3,
2,
4,
2,
4,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
2,
3,
4,
3,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
4,
3,
5,
4,
3,
4,
3,
3,
4,
2,
4,
2,
4,
4,
3,
3,
6,
8,
4,
2,
2,
3,
4,
2,
4,
2,
9,
2,
4,
2,
2,
2,
3,
4,
4,
2,
2,
4,
3,
2,
3,
3,
4,
3,
4,
4,
3,
3,
2,
3,
5,
2,
4,
4,
4,
5,
3,
2,
2,
4,
4,
4,
4,
3,
3,
4,
3,
2,
4,
5,
4,
3,
5,
4,
4,
3,
4,
4,
4,
4,
4,
5,
8,
2,
4,
3,
4,
4,
4,
2,
2,
4,
2,
4,
3,
3,
3,
3,
5,
4,
3,
7,
2,
4,
2,
3,
4,
4,
4,
2,
4,
3,
3,
2,
2,
4,
2,
2,
4,
3,
3,
3,
4,
2,
2,
2,
2,
3,
3,
3,
3,
5,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
3,
4,
4,
4,
6,
2,
3,
2,
2,
3,
4,
6,
2,
3,
3,
2,
2,
2,
3,
2,
4,
4,
2,
4,
4,
3,
5,
2,
5,
4,
2,
2,
3,
2,
2,
2,
8,
4,
3,
3,
1,
3,
6,
2,
4,
4,
3,
3,
3,
4,
3,
3,
3,
5,
2,
2,
3,
3,
3,
3,
2,
3,
3,
2,
3,
9,
4,
4,
4,
2,
7,
4,
7,
5,
4,
4,
3,
3,
3,
3,
6,
3,
2,
6,
3,
3,
1,
2,
2,
3,
2,
3,
3,
4,
4,
3,
4,
4,
2,
2,
3,
4,
4,
2,
4,
4,
4,
3,
5,
4,
3,
3,
2,
2,
2,
4,
2,
2,
4,
3,
3,
3,
4,
4,
4,
2,
2,
4,
2,
7,
7,
3,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
2,
2,
2,
1,
2,
2,
1,
3,
3,
3,
3,
2,
2,
3,
2,
2,
6,
4,
2,
4,
2,
2,
2,
2,
2,
4,
2,
4,
3,
3,
4,
4,
4,
3,
2,
4,
4,
3,
6,
6,
3,
2,
3,
1,
3,
3,
3,
4,
3,
5,
2,
2,
4,
4,
4,
3,
2,
2,
4,
4,
3,
2,
2,
3,
5,
2,
2,
3,
2,
2,
2,
2,
5,
6,
2,
3,
2,
5,
1,
3,
1,
1,
1,
1,
1,
3,
7,
3,
3,
5,
3,
3,
2,
4,
3,
3,
4,
2,
4,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
7,
3,
3,
5,
4,
4,
4,
2,
3,
2,
2,
2,
2,
4,
5,
5,
3,
6,
4,
3,
3,
3,
3,
2,
3,
2,
2,
3,
2,
3,
2,
4,
4,
2,
2,
3,
2,
3,
2,
4,
3,
2,
6,
5,
4,
4,
4,
4,
3,
2,
4,
4,
2,
3,
3,
3,
3,
3,
2,
4,
4,
4,
2,
2,
1,
2,
2,
3,
3,
3,
2,
4,
2,
2,
2,
4,
2,
1,
2,
2,
3,
3,
3,
3,
2,
2,
2,
4,
3,
2,
3,
3,
6,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
2,
2,
6,
2,
6,
4,
5,
2,
2,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
4,
3,
5,
4,
4,
5,
4,
3,
4,
5,
4,
3,
2,
2,
2,
2,
3,
4,
2,
4,
2,
3,
3,
3,
3,
4,
2,
2,
2,
4,
3,
5,
2,
4,
3,
4,
5,
2,
4,
4,
2,
2,
2,
4,
4,
4,
3,
2,
2,
2,
2,
3,
3,
4,
4,
2,
3,
3,
4,
4,
4,
4,
6,
2,
2,
9,
2,
6,
4,
4,
4,
4,
2,
3,
3,
3,
3,
4,
4,
3,
2,
3,
3,
4,
4,
4,
2,
2,
4,
3,
3,
3,
3,
4,
1,
2,
4,
4,
3,
4,
3,
2,
3,
4,
3,
2,
2,
2,
3,
2,
3,
3,
2,
1,
3,
3,
2,
3,
3,
3,
4,
4,
4,
2,
3,
2,
3,
5,
1,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
4,
3,
2,
3,
2,
3,
1,
2,
3,
2,
4,
3,
4,
2,
2,
5,
5,
3,
3,
4,
4,
4,
3,
2,
2,
3,
3,
2,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
5,
2,
4,
3,
2,
6,
4,
4,
4,
3,
4,
2,
3,
4,
3,
5,
1,
1,
2,
3,
2,
4,
3,
4,
4,
4,
2,
2,
2,
4,
2,
2,
3,
5,
2,
2,
2,
5,
4,
2,
4,
2,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
4,
5,
2,
2,
2,
2,
4,
6,
3,
2,
3,
2,
4,
4,
2,
2,
4,
4,
2,
4,
3,
3,
3,
4,
2,
3,
3,
3,
4,
5,
5,
2,
3,
3,
2,
5,
3,
4,
4,
4,
2,
4,
3,
4,
2,
4,
3,
6,
3,
3,
3,
3,
3,
2,
3,
3,
4,
8,
3,
3,
4,
2,
3,
3,
2,
4,
4,
2,
2,
4,
4,
2,
3,
2,
3,
2,
2,
2,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
5,
3,
5,
4,
4,
4,
6,
3,
3,
5,
3,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
3,
4,
4,
1,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
4,
3,
4,
4,
2,
3,
3,
2,
3,
4,
2,
5,
3,
5,
4,
4,
3,
2,
4,
4,
4,
4,
4,
3,
2,
2,
2,
3,
4,
6,
3,
5,
4,
2,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
4,
2,
3,
3,
4,
5,
3,
3,
3,
3,
3,
8,
2,
2,
4,
3,
2,
2,
2,
4,
3,
3,
4,
3,
4,
4,
4,
4,
4,
3,
2,
4,
3,
3,
4,
2,
2,
2,
3,
2,
3,
3,
5,
4,
4,
3,
3,
4,
2,
4,
3,
7,
4,
2,
2,
2,
4,
2,
4,
4,
4,
4,
6,
4,
4,
2,
4,
3,
3,
3,
2,
3,
2,
3,
2,
5,
4,
4,
3,
2,
3,
4,
6,
1,
5,
2,
3,
6,
5,
5,
4,
4,
4,
3,
2,
4,
2,
2,
2,
3,
2,
6,
1,
2,
6,
3,
3,
4,
2,
6,
4,
2,
6,
2,
4,
4,
6,
2,
6,
2,
2,
2,
2,
4,
4,
3,
5,
3,
4,
4,
4,
3,
2,
4,
4,
4,
3,
2,
5,
5,
5,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
2,
5,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
3,
2,
4,
4,
5,
4,
3,
3,
3,
4,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
3,
4,
4,
2,
3,
2,
7,
2,
3,
4,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
5,
4,
3,
4,
3,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
3,
3,
4,
2,
3,
4,
4,
4,
4,
5,
4,
2,
4,
4,
4,
2,
2,
2,
3,
2,
3,
5,
4,
4,
5,
4,
3,
3,
2,
3,
4,
2,
2,
2,
2,
3,
4,
4,
4,
8,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
7,
3,
2,
2,
2,
4,
4,
4,
2,
2,
2,
4,
2,
1,
4,
6,
5,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
5,
6,
6,
4,
5,
3,
5,
2,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
4,
4,
1,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
2,
2,
4,
4,
2,
2,
3,
3,
3,
1,
3,
4,
4,
5,
3,
3,
2,
4,
5,
4,
4,
1,
4,
3,
2,
6,
6,
5,
5,
2,
4,
2,
3,
2,
5,
4,
3,
3,
3,
3,
3,
2,
6,
4,
1,
2,
4,
2,
2,
2,
2,
6,
8,
4,
6,
4,
3,
4,
2,
4,
4,
4,
4,
2,
4,
3,
2,
4,
5,
5,
6,
5,
5,
4,
4,
5,
5,
4,
4,
4,
3,
2,
2,
4,
2,
3,
4,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
6,
4,
4,
4,
2,
3,
3,
2,
3,
4,
3,
4,
7,
7,
4,
4,
4,
6,
4,
4,
2,
4,
2,
7,
2,
2,
3,
4,
2,
3,
3,
2,
2,
2,
3,
3,
4,
4,
2,
2,
2,
5,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
6,
4,
6,
3,
5,
2,
5,
2,
1,
2,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
3,
2,
2,
3,
2,
2,
5,
9,
4,
3,
3,
2,
3,
5,
3,
3,
3,
4,
3,
5,
6,
4,
4,
2,
4,
4,
3,
4,
2,
3,
3,
3,
2,
2,
3,
3,
3,
4,
4,
4,
3,
4,
1,
3,
1,
4,
3,
4,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
3,
3,
2,
4,
5,
5,
4,
3,
3,
4,
7,
4,
4,
7,
3,
4,
4,
2,
5,
2,
4,
1,
4,
3,
1,
3,
4,
4,
2,
7,
2,
2,
2,
3,
3,
2,
2,
4,
2,
5,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
5,
2,
3,
4,
3,
3,
2,
3,
3,
3,
4,
3,
4,
4,
3,
3,
4,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
2,
3,
3,
3,
7,
9,
2,
3,
4,
3,
3,
3,
7,
2,
2,
2,
3,
3,
2,
5,
3,
3,
3,
3,
2,
4,
3,
4,
4,
1,
4,
2,
1,
2,
2,
2,
3,
6,
3,
3,
3,
4,
4,
4,
1,
5,
2,
4,
4,
2,
2,
6,
1,
2,
4,
5,
2,
4,
4,
4,
4,
4,
3,
4,
4,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
2,
2,
2,
3,
3,
2,
6,
3,
4,
4,
2,
8,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
3,
3,
3,
3,
6,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
2,
2,
4,
4,
2,
3,
3,
3,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
4,
2,
4,
3,
2,
2,
2,
4,
2,
3,
2,
5,
4,
3,
3,
6,
7,
4,
4,
2,
2,
4,
2,
5,
2,
4,
2,
3,
3,
5,
7,
5,
5,
2,
2,
4,
6,
3,
2,
3,
3,
3,
2,
1,
7,
2,
3,
1,
4,
2,
4,
4,
3,
4,
5,
3,
2,
2,
2,
2,
3,
4,
3,
2,
3,
2,
4,
3,
2,
4,
2,
2,
2,
4,
2,
2,
3,
3,
5,
3,
2,
4,
2,
4,
3,
3,
2,
2,
3,
2,
2,
4,
4,
2,
4,
1,
2,
4,
3,
4,
5,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
2,
4,
3,
4,
2,
3,
3,
1,
5,
2,
4,
4,
4,
3,
4,
3,
3,
3,
4,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
4,
6,
4,
4,
6,
2,
4,
4,
5,
2,
2,
2,
2,
2,
3,
2,
2,
5,
2,
4,
3,
2,
2,
2,
3,
3,
3,
3,
4,
3,
2,
4,
1,
3,
4,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
6,
3,
4,
4,
3,
2,
4,
3,
3,
3,
3,
4,
1,
2,
2,
4,
4,
4,
5,
3,
3,
5,
1,
3,
3,
3,
3,
3,
3,
1,
2,
3,
4,
4,
5,
4,
3,
2,
5,
2,
2,
2,
4,
4,
4,
6,
5,
3,
4,
5,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
3,
4,
4,
5,
3,
4,
4,
3,
1,
2,
2,
2,
2,
2,
2,
5,
4,
4,
3,
3,
2,
2,
4,
2,
2,
2,
2,
1,
3,
2,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
1,
3,
3,
3,
2,
3,
3,
2,
2,
8,
7,
2,
2,
3,
3,
4,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
4,
2,
4,
2,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
3,
2,
3,
2,
2,
3,
3,
4,
4,
4,
3,
4,
3,
2,
4,
3,
3,
3,
4,
4,
4,
4,
5,
3,
3,
4,
2,
2,
2,
3,
4,
4,
4,
4,
5,
2,
4,
6,
4,
4,
3,
3,
6,
5,
4,
4,
4,
1,
4,
2,
2,
5,
5,
4,
3,
3,
2,
3,
3,
3,
2,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
5,
3,
2,
1,
2,
4,
4,
4,
2,
4,
5,
4,
3,
4,
3,
2,
2,
2,
2,
2,
2,
6,
3,
2,
3,
2,
3,
2,
4,
5,
3,
1,
6,
3,
3,
2,
3,
2,
5,
4,
5,
5,
6,
7,
2,
2,
3,
1,
1,
3,
1,
2,
3,
4,
4,
2,
4,
3,
4,
2,
2,
2,
6,
3,
2,
2,
2,
4,
3,
6,
2,
2,
2,
2,
2,
2,
1,
2,
2,
1,
4,
2,
2,
3,
4,
3,
2,
4,
2,
3,
5,
3,
4,
4,
4,
5,
5,
4,
4,
4,
4,
2,
3,
3,
5,
6,
3,
5,
4,
2,
5,
7,
2,
2,
2,
3,
2,
3,
4,
2,
3,
5,
2,
4,
3,
3,
4,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
4,
4,
5,
4,
3,
4,
2,
2,
3,
3,
2,
3,
3,
3,
2,
3,
3,
3,
2,
2,
4,
4,
6,
4,
4,
4,
2,
2,
2,
4,
4,
2,
3,
5,
3,
4,
3,
4,
4,
3,
4,
4,
2,
2,
2,
6,
2,
3,
5,
2,
3,
2,
3,
4,
3,
1,
2,
3,
2,
1,
2,
2,
2,
3,
3,
2,
2,
2,
4,
3,
3,
3,
4,
4,
2,
4,
4,
5,
4,
4,
3,
3,
3,
3,
3,
4,
4,
3,
2,
4,
2,
3,
2,
2,
4,
2,
2,
2,
3,
4,
3,
2,
3,
3,
4,
4,
4,
2,
4,
2,
4,
4,
2,
4,
3,
2,
2,
4,
4,
2,
4,
4,
2,
3,
3,
3,
4,
2,
3,
2,
2,
2,
2,
4,
3,
2,
4,
4,
2,
4,
3,
3,
4,
3,
2,
3,
3,
3,
6,
4,
5,
4,
4,
6,
7,
2,
2,
4,
3,
3,
2,
4,
2,
2,
4,
3,
3,
2,
3,
3,
2,
2,
2,
3,
3,
5,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
3,
4,
2,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
1,
2,
2,
2,
3,
3,
4,
3,
4,
8,
4,
4,
4,
4,
4,
3,
3,
3,
4,
3,
3,
4,
4,
2,
3,
5,
3,
3,
3,
3,
5,
3,
2,
3,
5,
4,
4,
4,
1,
3,
3,
2,
5,
3,
5,
5,
2,
4,
4,
2,
2,
6,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
2,
4,
3,
4,
4,
4,
2,
3,
3,
5,
4,
5,
4,
2,
3,
3,
2,
4,
3,
2,
4,
8,
5,
3,
3,
2,
2,
7,
3,
2,
2,
1,
1,
2,
1,
1,
2,
2,
2,
2,
4,
5,
4,
4,
3,
4,
4,
4,
4,
3,
4,
2,
4,
5,
3,
2,
3,
4,
2,
5,
4,
5,
5,
4,
2,
5,
4,
2,
2,
2,
2,
2,
3,
2,
2,
5,
4,
3,
4,
5,
5,
2,
4,
5,
4,
2,
3,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
3,
3,
4,
2,
2,
3,
3,
4,
3,
3,
3,
3,
2,
3,
4,
2,
3,
4,
3,
4,
5,
4,
6,
3,
3,
3,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
4,
3,
2,
3,
4,
4,
6,
4,
3,
2,
2,
3,
5,
5,
5,
3,
5,
3,
5,
4,
4,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
2,
5,
3,
5,
2,
3,
3,
3,
2,
5,
2,
3,
3,
3,
4,
4,
2,
3,
2,
2,
4,
4,
3,
4,
4,
4,
7,
2,
2,
3,
2,
3,
3,
4,
4,
5,
6,
2,
2,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
2,
4,
3,
7,
2,
4,
3,
2,
2,
2,
2,
4,
2,
1,
3,
4,
4,
4,
3,
5,
2,
2,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
2,
5,
4,
3,
2,
3,
9,
2,
2,
3,
3,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
5,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
4,
3,
5,
4,
4,
5,
4,
3,
2,
2,
2,
4,
2,
4,
4,
2,
3,
3,
3,
4,
5,
2,
5,
3,
3,
4,
6,
2,
3,
3,
2,
3,
3,
2,
3,
7,
2,
2,
3,
4,
2,
2,
3,
3,
6,
3,
4,
6,
4,
4,
6,
2,
3,
3,
3,
4,
3,
2,
3,
3,
4,
4,
4,
4,
3,
3,
4,
4,
2,
4,
3,
4,
3,
5,
2,
2,
2,
2,
7,
6,
3,
3,
2,
3,
4,
2,
2,
4,
4,
4,
4,
4,
4,
2,
5,
3,
2,
4,
4,
2,
4,
3,
3,
5,
6,
2,
3,
4,
8,
5,
5,
4,
6,
5,
5,
4,
4,
4,
4,
3,
3,
3,
3,
4,
2,
3,
1,
2,
4,
3,
3,
4,
1,
4,
3,
3,
2,
2,
3,
2,
3,
2,
2,
4,
3,
5,
3,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
4,
3,
3,
3,
3,
4,
3,
3,
3,
4,
3,
2,
3,
3,
2,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
2,
2,
4,
4,
2,
2,
3,
4,
2,
2,
2,
4,
4,
4,
4,
2,
3,
3,
7,
3,
4,
3,
3,
3,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
2,
1,
4,
5,
4,
4,
3,
3,
2,
4,
5,
4,
4,
4,
3,
3,
2,
3,
3,
3,
4,
4,
4,
2,
6,
4,
4,
4,
4,
4,
3,
2,
2,
3,
2,
2,
5,
2,
3,
2,
2,
3,
3,
3,
1,
5,
5,
4,
3,
2,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
2,
4,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
3,
3,
3,
3,
3,
1,
3,
3,
2,
2,
2,
4,
2,
3,
2,
1,
2,
4,
4,
3,
2,
3,
6,
4,
4,
2,
3,
3,
1,
4,
3,
3,
3,
1,
3,
3,
3,
2,
4,
3,
3,
2,
4,
4,
4,
2,
3,
3,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
5,
4,
3,
3,
4,
3,
6,
3,
4,
2,
3,
3,
4,
3,
4,
5,
4,
4,
2,
4,
2,
5,
3,
4,
3,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
5,
5,
4,
2,
4,
1,
3,
2,
3,
3,
4,
3,
5,
3,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
7,
2,
4,
4,
4,
2,
3,
2,
2,
3,
4,
2,
4,
4,
3,
5,
5,
5,
3,
2,
2,
3,
7,
5,
6,
6,
4,
4,
5,
4,
3,
4,
2,
4,
4,
7,
4,
7,
7,
4,
2,
4,
3,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
3,
5,
4,
4,
4,
2,
2,
2,
3,
4,
4,
4,
3,
4,
4,
4,
4,
3,
3,
2,
3,
6,
3,
4,
3,
3,
3,
3,
4,
4,
4,
2,
2,
3,
3,
2,
2,
2,
2,
1,
2,
2,
2,
4,
3,
4,
2,
2,
4,
4,
4,
4,
4,
3,
2,
2,
5,
2,
3,
4,
3,
6,
4,
3,
3,
3,
3,
2,
3,
2,
3,
2,
1,
2,
3,
3,
3,
2,
3,
4,
2,
4,
3,
2,
2,
4,
2,
3,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
5,
4,
2,
3,
2,
2,
5,
2,
2,
4,
4,
4,
4,
3,
2,
4,
2,
2,
4,
3,
5,
3,
2,
3,
4,
5,
3,
3,
3,
4,
2,
4,
4,
4,
4,
2,
4,
3,
5,
4,
3,
6,
6,
4,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
5,
2,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
2,
5,
3,
3,
2,
4,
3,
4,
4,
4,
4,
2,
3,
4,
4,
4,
3,
4,
3,
4,
4,
2,
3,
2,
2,
2,
2,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
2,
3,
4,
2,
4,
4,
2,
3,
5,
2,
2,
2,
5,
2,
2,
6,
3,
3,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
3,
4,
4,
2,
2,
3,
3,
2,
2,
2,
3,
4,
4,
2,
5,
4,
3,
4,
3,
1,
2,
3,
3,
2,
6,
4,
4,
4,
3,
4,
2,
4,
4,
4,
3,
4,
4,
2,
2,
3,
2,
4,
2,
3,
4,
2,
3,
2,
2,
2,
1,
2,
3,
3,
2,
3,
4,
4,
4,
5,
4,
2,
3,
3,
2,
4,
7,
4,
4,
2,
4,
2,
2,
5,
4,
4,
3,
4,
2,
2,
2,
2,
4,
3,
3,
4,
3,
4,
3,
2,
3,
2,
2,
2,
2,
4,
3,
6,
4,
4,
3,
3,
4,
4,
4,
5,
5,
6,
3,
4,
2,
2,
3,
4,
4,
2,
4,
3,
2,
2,
2,
2,
2,
4,
4,
1,
2,
4,
4,
3,
3,
6,
4,
4,
4,
4,
6,
1,
3,
3,
3,
4,
4,
6,
3,
4,
4,
1,
2,
3,
4,
4,
3,
2,
3,
1,
3,
3,
4,
5,
2,
2,
4,
4,
3,
2,
4,
2,
3,
3,
4,
4,
7,
3,
4,
3,
4,
4,
4,
4,
6,
4,
2,
3,
2,
2,
4,
2,
2,
2,
4,
4,
4,
3,
3,
3,
4,
2,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
3,
4,
4,
5,
3,
4,
2,
6,
6,
6,
6,
7,
4,
4,
4,
5,
4,
3,
2,
5,
2,
3,
4,
3,
4,
6,
3,
2,
5,
4,
2,
3,
4,
3,
4,
2,
4,
4,
3,
2,
5,
2,
1,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
1,
3,
3,
5,
5,
4,
2,
4,
4,
4,
1,
4,
4,
4,
4,
4,
2,
2,
3,
2,
4,
5,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
4,
4,
4,
4,
3,
7,
6,
2,
2,
3,
3,
2,
4,
2,
2,
4,
4,
4,
4,
4,
8,
4,
4,
4,
3,
2,
2,
3,
1,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
4,
3,
4,
6,
3,
4,
3,
4,
1,
3,
3,
3,
4,
2,
2,
2,
2,
4,
5,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
2,
2,
3,
3,
3,
2,
4,
5,
3,
2,
2,
4,
2,
2,
2,
4,
2,
2,
1,
3,
4,
2,
2,
2,
3,
2,
2,
2,
3,
4,
4,
2,
2,
5,
3,
5,
3,
4,
3,
3,
2,
3,
2,
5,
4,
5,
5,
5,
5,
2,
5,
5,
2,
2,
2,
4,
2,
5,
2,
4,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
3,
5,
2,
3,
4,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
2,
2,
3,
2,
2,
3,
4,
2,
4,
3,
3,
2,
2,
2,
3,
6,
3,
3,
6,
3,
4,
5,
2,
3,
3,
2,
4,
6,
3,
3,
3,
3,
3,
4,
4,
3,
2,
2,
3,
2,
3,
3,
4,
2,
2,
4,
4,
2,
2,
2,
2,
3,
3,
4,
2,
4,
3,
5,
3,
4,
4,
4,
5,
6,
2,
3,
6,
3,
3,
3,
4,
3,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
5,
3,
2,
4,
4,
6,
4,
4,
6,
6,
6,
3,
3,
3,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
5,
4,
4,
3,
2,
5,
3,
5,
3,
4,
4,
3,
2,
3,
3,
4,
3,
6,
2,
4,
2,
2,
6,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
6,
3,
4,
4,
2,
3,
3,
3,
2,
6,
4,
4,
4,
5,
3,
3,
3,
3,
3,
3,
3,
3,
4,
1,
2,
4,
4,
2,
3,
2,
4,
5,
3,
3,
2,
3,
3,
3,
2,
4,
3,
3,
3,
4,
4,
3,
3,
5,
2,
3,
2,
4,
3,
4,
2,
3,
4,
4,
4,
2,
2,
4,
4,
2,
4,
3,
4,
3,
4,
2,
2,
3,
3,
4,
3,
3,
2,
3,
3,
2,
2,
4,
2,
3,
3,
5,
5,
3,
3,
3,
3,
2,
5,
2,
2,
4,
5,
2,
5,
4,
5,
6,
3,
3,
2,
3,
3,
4,
4,
4,
2,
3,
4,
4,
4,
2,
3,
3,
2,
2,
4,
4,
4,
8,
3,
4,
4,
4,
2,
4,
5,
4,
4,
3,
2,
3,
4,
3,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
5,
2,
5,
4,
3,
4,
5,
5,
4,
4,
4,
6,
6,
4,
6,
2,
3,
4,
4,
5,
5,
2,
5,
2,
5,
2,
3,
3,
4,
4,
3,
2,
2,
4,
6,
2,
3,
2,
5,
2,
4,
2,
2,
2,
4,
2,
4,
4,
4,
4,
2,
4,
4,
4,
5,
4,
4,
4,
3,
2,
4,
3,
3,
6,
6,
4,
4,
4,
4,
4,
4,
5,
6,
4,
2,
2,
2,
2,
7,
2,
2,
2,
4,
6,
2,
1,
2,
2,
2,
3,
2,
2,
4,
6,
3,
4,
3,
3,
1,
5,
4,
4,
4,
3,
2,
4,
4,
4,
2,
4,
4,
2,
3,
3,
3,
6,
6,
5,
6,
3,
2,
5,
2,
3,
9,
5,
2,
4,
6,
4,
4,
4,
3,
4,
3,
3,
2,
4,
2,
2,
2,
3,
3,
3,
4,
2,
3,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
4,
4,
4,
2,
2,
4,
6,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
5,
3,
4,
2,
2,
4,
4,
2,
2,
2,
3,
2,
4,
2,
3,
4,
3,
2,
2,
4,
2,
2,
4,
6,
5,
4,
4,
1,
4,
2,
2,
3,
4,
2,
4,
4,
2,
3,
2,
1,
2,
10,
10,
3,
3,
4,
2,
5,
3,
4,
4,
4,
4,
4,
2,
6,
6,
2,
2,
2,
2,
1,
1,
4,
4,
3,
3,
3,
7,
2,
4,
4,
3,
7,
2,
2,
2,
6,
2,
2,
4,
4,
4,
2,
2,
2,
2,
3,
2,
3,
2,
4,
4,
5,
4,
6,
7,
2,
2,
4,
3,
6,
3,
3,
3,
7,
3,
3,
4,
4,
4,
2,
4,
4,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
3,
2,
2,
2,
3,
3,
4,
3,
3,
2,
4,
4,
3,
3,
4,
2,
4,
6,
4,
4,
4,
4,
2,
3,
2,
2,
2,
4,
2,
2,
4,
2,
2,
2,
4,
2,
4,
4,
4,
1,
6,
5,
4,
2,
3,
3,
6,
6,
4,
3,
4,
5,
2,
4,
4,
4,
4,
4,
5,
4,
3,
3,
4,
3,
3,
4,
2,
4,
3,
2,
3,
3,
3,
3,
7,
3,
3,
3,
6,
6,
5,
2,
2,
3,
3,
2,
4,
4,
4,
3,
6,
2,
3,
4,
3,
4,
3,
4,
4,
3,
2,
4,
4,
4,
4,
2,
5,
2,
2,
4,
5,
6,
4,
4,
3,
2,
2,
3,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
3,
3,
3,
3,
3,
7,
2,
2,
1,
1,
3,
4,
2,
3,
2,
3,
3,
3,
2,
2,
3,
9,
2,
3,
3,
2,
3,
4,
2,
2,
4,
4,
2,
4,
2,
4,
2,
4,
2,
2,
3,
3,
2,
2,
2,
3,
4,
4,
4,
1,
2,
2,
2,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
2,
2,
1,
6,
7,
4,
6,
3,
3,
3,
2,
2,
4,
3,
4,
2,
2,
2,
5,
6,
5,
2,
6,
2,
2,
3,
4,
3,
2,
3,
2,
2,
5,
1,
2,
2,
3,
1,
2,
2,
2,
3,
2,
3,
7,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
1,
2,
3,
3,
4,
3,
3,
3,
3,
3,
4,
2,
2,
2,
3,
3,
4,
2,
6,
3,
3,
2,
2,
2,
4,
4,
4,
3,
2,
4,
2,
2,
2,
3,
2,
2,
3,
4,
3,
3,
5,
4,
2,
2,
2,
4,
2,
2,
3,
2,
2,
4,
4,
4,
2,
4,
3,
3,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
6,
6,
2,
3,
5,
2,
1,
4,
4,
4,
4,
3,
3,
4,
4,
4,
4,
2,
4,
4,
2,
2,
3,
4,
2,
4,
4,
3,
4,
4,
3,
4,
2,
2,
2,
1,
2,
2,
4,
4,
4,
8,
3,
4,
4,
2,
4,
2,
2,
3,
2,
3,
3,
3,
2,
3,
2,
4,
2,
5,
3,
3,
2,
4,
2,
5,
5,
3,
2,
2,
2,
5,
2,
4,
6,
2,
3,
3,
2,
7,
4,
4,
4,
4,
2,
2,
2,
1,
2,
4,
4,
4,
4,
4,
4,
6,
4,
2,
2,
2,
2,
2,
6,
2,
5,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
1,
1,
1,
3,
4,
2,
3,
3,
2,
3,
3,
2,
3,
4,
2,
2,
2,
3,
3,
4,
4,
4,
4,
3,
3,
3,
1,
3,
3,
3,
4,
1,
2,
2,
2,
4,
4,
1,
4,
5,
5,
2,
3,
2,
4,
3,
2,
2,
2,
2,
4,
2,
2,
2,
3,
4,
3,
4,
4,
3,
1,
3,
4,
2,
2,
5,
4,
2,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
7,
4,
2,
2,
3,
2,
4,
2,
2,
3,
3,
2,
4,
5,
2,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
2,
4,
4,
2,
4,
2,
2,
4,
4,
4,
4,
3,
2,
3,
2,
3,
2,
2,
3,
2,
2,
4,
5,
3,
2,
3,
2,
2,
2,
3,
2,
2,
3,
3,
2,
6,
2,
3,
1,
3,
4,
4,
2,
3,
3,
4,
2,
4,
2,
2,
3,
3,
2,
3,
4,
3,
3,
3,
5,
3,
3,
3,
4,
4,
3,
2,
1,
2,
2,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
2,
4,
2,
5,
5,
2,
2,
3,
4,
4,
2,
2,
5,
4,
4,
4,
4,
2,
1,
4,
3,
5,
4,
3,
3,
4,
5,
4,
3,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
4,
2,
4,
3,
3,
3,
4,
4,
2,
1,
2,
7,
5,
2,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
2,
2,
2,
2,
5,
5,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
3,
3,
3,
5,
3,
2,
2,
2,
4,
4,
4,
4,
3,
2,
2,
2,
2,
4,
2,
2,
2,
4,
2,
4,
3,
4,
2,
5,
4,
6,
4,
4,
2,
3,
2,
2,
2,
2,
4,
6,
2,
4,
3,
4,
3,
4,
3,
4,
2,
2,
2,
2,
3,
10,
1,
1,
6,
6,
4,
4,
2,
4,
2,
2,
4,
4,
4,
4,
4,
5,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
3,
3,
5,
4,
4,
4,
3,
2,
3,
4,
4,
2,
2,
3,
3,
3,
3,
4,
3,
3,
4,
4,
4,
7,
4,
4,
4,
2,
2,
4,
4,
4,
4,
6,
4,
2,
6,
3,
3,
2,
6,
5,
2,
2,
6,
4,
4,
3,
4,
4,
4,
4,
4,
3,
2,
3,
2,
4,
3,
7,
3,
4,
2,
4,
3,
4,
3,
3,
6,
7,
5,
3,
2,
2,
5,
3,
3,
2,
2,
5,
3,
3,
3,
5,
5,
3,
6,
3,
6,
2,
4,
3,
2,
2,
3,
4,
4,
5,
4,
3,
3,
3,
1,
4,
2,
2,
4,
4,
2,
4,
3,
3,
5,
2,
4,
3,
2,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
3,
3,
4,
4,
4,
2,
4,
2,
3,
3,
3,
3,
3,
3,
4,
7,
2,
4,
3,
1,
6,
3,
5,
4,
2,
3,
2,
2,
4,
3,
2,
6,
2,
2,
2,
3,
2,
6,
2,
6,
2,
2,
3,
2,
2,
5,
5,
5,
7,
5,
3,
3,
3,
4,
2,
4,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
2,
2,
3,
2,
6,
6,
2,
2,
2,
2,
2,
4,
2,
3,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
2,
2,
5,
3,
2,
5,
3,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
3,
3,
4,
2,
3,
4,
5,
2,
2,
4,
9,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
5,
3,
2,
2,
7,
2,
2,
2,
3,
3,
2,
3,
2,
2,
2,
2,
4,
3,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
4,
4,
2,
3,
4,
4,
4,
3,
2,
3,
3,
2,
4,
4,
4,
4,
2,
2,
4,
1,
3,
2,
2,
2,
3,
3,
7,
4,
2,
2,
4,
2,
3,
3,
2,
4,
4,
4,
4,
5,
4,
4,
4,
2,
5,
3,
3,
4,
3,
2,
5,
4,
3,
3,
3,
2,
4,
3,
3,
5,
7,
4,
4,
2,
6,
4,
4,
4,
3,
3,
3,
4,
3,
3,
2,
3,
4,
4,
4,
2,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
4,
4,
4,
3,
2,
3,
3,
2,
3,
3,
2,
3,
2,
2,
3,
2,
4,
2,
4,
4,
2,
2,
7,
3,
3,
2,
2,
4,
4,
4,
5,
3,
5,
4,
4,
2,
3,
2,
2,
4,
4,
3,
4,
3,
6,
2,
6,
4,
3,
4,
2,
4,
4,
5,
2,
2,
5,
2,
3,
3,
3,
2,
4,
2,
4,
2,
4,
4,
5,
2,
2,
2,
3,
4,
3,
4,
4,
3,
3,
3,
5,
4,
5,
5,
3,
4,
4,
4,
4,
4,
4,
4,
5,
3,
2,
5,
3,
2,
2,
2,
2,
4,
3,
2,
1,
1,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
4,
3,
3,
3,
3,
3,
2,
2,
3,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
6,
5,
6,
6,
3,
5,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
3,
1,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
2,
3,
5,
4,
3,
3,
4,
4,
4,
2,
4,
2,
3,
3,
3,
3,
2,
3,
3,
4,
2,
3,
4,
4,
2,
4,
3,
3,
4,
5,
3,
2,
2,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
5,
2,
3,
3,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
3,
2,
4,
3,
4,
2,
2,
5,
3,
2,
2,
6,
6,
3,
2,
6,
3,
3,
4,
4,
2,
2,
2,
2,
3,
2,
4,
2,
2,
3,
2,
3,
2,
2,
2,
2,
4,
2,
4,
3,
4,
4,
2,
2,
4,
4,
3,
4,
4,
5,
5,
4,
3,
5,
3,
2,
4,
2,
3,
3,
4,
1,
4,
3,
4,
3,
3,
4,
3,
6,
4,
4,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
3,
3,
9,
7,
4,
2,
4,
2,
4,
2,
4,
4,
4,
3,
2,
4,
4,
5,
4,
1,
5,
3,
3,
3,
2,
3,
2,
6,
3,
1,
3,
2,
2,
3,
3,
3,
2,
3,
3,
2,
3,
4,
3,
2,
4,
2,
4,
4,
3,
4,
4,
6,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
5,
2,
2,
2,
5,
2,
2,
1,
3,
2,
3,
3,
3,
3,
3,
4,
4,
4,
5,
5,
2,
6,
7,
4,
3,
2,
2,
2,
1,
2,
3,
2,
2,
2,
3,
2,
2,
3,
1,
2,
4,
3,
4,
2,
4,
4,
2,
2,
6,
2,
2,
3,
3,
2,
8,
4,
4,
4,
4,
2,
2,
4,
4,
2,
2,
4,
2,
2,
4,
2,
4,
4,
4,
4,
3,
4,
3,
3,
3,
2,
4,
5,
2,
3,
3,
5,
4,
2,
4,
2,
4,
4,
3,
4,
4,
3,
5,
6,
3,
4,
4,
3,
4,
2,
3,
4,
3,
3,
4,
3,
5,
4,
3,
2,
2,
4,
2,
2,
4,
4,
4,
2,
2,
2,
2,
4,
4,
3,
6,
4,
4,
4,
4,
3,
3,
3,
3,
2,
4,
2,
5,
2,
1,
3,
4,
4,
4,
5,
4,
2,
3,
3,
2,
2,
5,
3,
2,
6,
4,
4,
6,
4,
4,
4,
5,
5,
2,
2,
1,
3,
2,
4,
3,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
5,
5,
2,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
5,
4,
4,
2,
5,
4,
4,
4,
1,
2,
2,
4,
5,
3,
3,
3,
2,
3,
3,
2,
3,
3,
4,
8,
4,
2,
2,
4,
2,
5,
5,
5,
5,
5,
5,
4,
5,
2,
2,
3,
3,
3,
5,
2,
2,
2,
4,
4,
4,
3,
4,
2,
4,
4,
4,
3,
2,
3,
4,
2,
2,
3,
3,
2,
2,
2,
4,
4,
2,
2,
2,
4,
6,
2,
4,
3,
4,
3,
3,
4,
4,
2,
5,
5,
5,
5,
5,
2,
2,
4,
4,
2,
1,
4,
2,
2,
2,
2,
4,
3,
4,
4,
5,
3,
3,
2,
2,
1,
2,
1,
2,
6,
5,
3,
3,
1,
4,
2,
4,
2,
2,
2,
2,
3,
5,
3,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
3,
4,
4,
3,
3,
2,
2,
3,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
3,
2,
3,
3,
6,
4,
2,
2,
2,
4,
2,
4,
3,
4,
3,
3,
4,
3,
4,
3,
5,
5,
4,
3,
3,
6,
4,
2,
3,
2,
2,
4,
5,
2,
7,
3,
5,
2,
2,
2,
2,
2,
4,
3,
4,
2,
4,
2,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
3,
2,
4,
7,
4,
5,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
2,
4,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
2,
3,
2,
2,
2,
2,
5,
5,
5,
4,
4,
3,
3,
5,
3,
2,
3,
3,
5,
2,
4,
2,
3,
3,
4,
2,
4,
4,
4,
2,
4,
2,
5,
4,
4,
3,
2,
3,
2,
3,
1,
1,
2,
2,
2,
4,
4,
4,
4,
5,
2,
4,
5,
4,
2,
2,
2,
2,
4,
2,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
4,
2,
2,
5,
2,
4,
2,
4,
2,
4,
4,
3,
3,
4,
4,
4,
2,
3,
7,
5,
4,
3,
6,
4,
4,
3,
4,
5,
4,
4,
4,
4,
4,
2,
3,
3,
2,
4,
5,
4,
4,
4,
4,
4,
6,
5,
5,
4,
3,
2,
2,
3,
3,
4,
3,
4,
3,
2,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
2,
4,
6,
4,
3,
4,
3,
4,
2,
3,
2,
4,
4,
3,
3,
4,
4,
4,
2,
8,
5,
2,
2,
2,
2,
2,
2,
5,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
3,
3,
4,
3,
3,
4,
4,
4,
3,
3,
4,
5,
5,
4,
2,
2,
4,
3,
4,
4,
2,
2,
3,
3,
4,
3,
5,
6,
7,
3,
5,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
1,
2,
4,
4,
4,
3,
3,
3,
3,
4,
2,
2,
5,
7,
4,
4,
4,
4,
2,
4,
4,
3,
3,
3,
3,
4,
3,
4,
3,
2,
2,
2,
3,
3,
3,
5,
3,
3,
4,
5,
2,
2,
4,
4,
3,
3,
1,
2,
4,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
1,
4,
3,
3,
3,
3,
4,
5,
2,
4,
1,
1,
4,
3,
4,
2,
4,
2,
3,
4,
2,
4,
4,
3,
2,
2,
3,
4,
4,
4,
4,
5,
5,
5,
4,
2,
3,
3,
3,
4,
4,
5,
2,
2,
4,
4,
4,
5,
4,
4,
2,
2,
3,
3,
4,
4,
3,
7,
5,
4,
2,
2,
4,
5,
4,
3,
5,
2,
3,
4,
6,
4,
4,
5,
2,
5,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
5,
3,
3,
3,
3,
3,
3,
5,
2,
4,
4,
2,
4,
4,
2,
2,
4,
2,
4,
3,
3,
1,
4,
3,
3,
2,
3,
3,
2,
4,
2,
4,
2,
2,
5,
2,
3,
3,
4,
3,
3,
3,
2,
2,
5,
4,
2,
5,
5,
5,
5,
4,
3,
3,
4,
5,
4,
7,
2,
4,
6,
4,
5,
4,
3,
4,
3,
3,
2,
3,
3,
3,
7,
3,
2,
2,
3,
2,
3,
3,
3,
4,
4,
5,
4,
4,
4,
2,
3,
2,
3,
4,
5,
6,
5,
4,
2,
3,
3,
3,
5,
3,
5,
3,
3,
3,
3,
4,
4,
4,
4,
5,
5,
5,
2,
4,
3,
5,
4,
2,
4,
2,
4,
4,
4,
5,
4,
4,
3,
2,
3,
2,
2,
2,
3,
8,
4,
5,
2,
4,
2,
7,
4,
4,
2,
3,
4,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
4,
2,
3,
6,
2,
3,
2,
4,
4,
4,
2,
3,
3,
3,
2,
2,
5,
5,
5,
5,
5,
5,
3,
5,
6,
6,
4,
2,
2,
2,
2,
2,
3,
3,
3,
2,
1,
2,
2,
7,
2,
2,
4,
6,
2,
5,
2,
6,
3,
2,
3,
3,
3,
2,
3,
3,
2,
4,
3,
2,
3,
4,
6,
7,
2,
4,
3,
4,
2,
4,
4,
2,
4,
2,
6,
6,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
3,
2,
1,
4,
3,
3,
3,
3,
3,
3,
5,
3,
3,
2,
4,
3,
2,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
1,
2,
1,
2,
2,
4,
4,
4,
4,
2,
3,
4,
4,
5,
2,
4,
2,
4,
4,
3,
3,
5,
3,
3,
3,
2,
2,
2,
2,
4,
4,
3,
6,
4,
4,
4,
4,
2,
2,
2,
3,
4,
4,
3,
4,
4,
4,
4,
2,
3,
2,
5,
5,
4,
3,
3,
3,
6,
6,
6,
7,
2,
3,
4,
3,
4,
3,
3,
2,
2,
4,
2,
3,
2,
4,
3,
5,
4,
2,
4,
4,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
3,
4,
4,
3,
2,
2,
2,
4,
3,
5,
2,
2,
2,
2,
3,
3,
2,
3,
2,
4,
7,
4,
3,
4,
3,
4,
5,
4,
4,
3,
4,
2,
3,
2,
3,
4,
2,
4,
2,
4,
4,
3,
2,
2,
4,
4,
3,
3,
3,
5,
3,
3,
3,
2,
3,
3,
3,
2,
3,
5,
5,
5,
6,
3,
4,
3,
6,
4,
3,
3,
4,
4,
2,
4,
4,
4,
4,
2,
4,
3,
4,
2,
6,
4,
4,
4,
3,
4,
2,
3,
2,
2,
3,
4,
2,
5,
2,
2,
5,
3,
3,
3,
2,
2,
4,
3,
3,
3,
2,
3,
4,
3,
3,
4,
5,
4,
4,
7,
6,
7,
3,
3,
3,
3,
3,
5,
3,
2,
2,
4,
2,
2,
2,
2,
2,
3,
4,
5,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
5,
5,
5,
3,
4,
4,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
3,
3,
7,
3,
4,
4,
3,
6,
4,
4,
4,
4,
2,
4,
4,
4,
3,
8,
4,
3,
3,
2,
5,
3,
4,
4,
4,
2,
2,
4,
5,
3,
2,
2,
2,
4,
4,
4,
4,
3,
6,
3,
3,
3,
5,
3,
2,
2,
1,
3,
1,
3,
4,
4,
2,
4,
2,
3,
3,
2,
2,
5,
4,
5,
2,
2,
3,
4,
4,
4,
4,
4,
4,
3,
6,
5,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
3,
2,
4,
2,
4,
4,
5,
3,
4,
5,
4,
2,
4,
3,
6,
2,
2,
2,
2,
2,
4,
3,
2,
1,
4,
6,
3,
4,
3,
2,
3,
2,
3,
2,
2,
5,
2,
2,
5,
7,
7,
5,
3,
3,
2,
4,
4,
2,
4,
4,
4,
4,
3,
4,
3,
3,
5,
3,
3,
2,
2,
3,
3,
3,
3,
3,
7,
4,
2,
3,
3,
5,
4,
4,
1,
4,
4,
4,
4,
4,
4,
4,
2,
2,
7,
2,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
4,
5,
3,
3,
3,
3,
3,
3,
1,
1,
4,
5,
4,
3,
3,
4,
4,
4,
4,
3,
4,
4,
4,
2,
5,
7,
2,
4,
2,
4,
4,
5,
4,
3,
4,
4,
7,
3,
4,
2,
3,
2,
3,
3,
3,
4,
2,
4,
2,
6,
3,
3,
2,
2,
3,
4,
3,
3,
2,
3,
2,
2,
2,
3,
2,
4,
2,
4,
4,
5,
3,
5,
2,
5,
4,
4,
5,
4,
3,
5,
5,
2,
1,
3,
3,
3,
3,
3,
2,
3,
2,
2,
4,
2,
3,
3,
3,
2,
6,
3,
2,
2,
2,
4,
2,
3,
2,
1,
2,
5,
4,
3,
5,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
4,
3,
3,
4,
6,
3,
2,
3,
3,
3,
3,
3,
5,
1,
2,
2,
3,
4,
3,
2,
2,
3,
2,
1,
4,
2,
3,
2,
6,
4,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
4,
2,
3,
3,
3,
1,
1,
5,
2,
3,
2,
3,
3,
5,
2,
2,
4,
2,
3,
3,
4,
2,
3,
2,
3,
2,
2,
2,
2,
3,
4,
4,
2,
3,
3,
3,
3,
4,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
4,
4,
4,
3,
4,
6,
5,
5,
3,
4,
5,
4,
4,
4,
4,
4,
4,
4,
4,
2,
5,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
5,
4,
5,
2,
3,
2,
2,
3,
3,
3,
2,
2,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
4,
5,
3,
3,
2,
2,
2,
3,
2,
3,
4,
3,
3,
5,
5,
2,
2,
3,
5,
4,
2,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
2,
5,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
2,
3,
2,
4,
5,
2,
4,
4,
5,
4,
4,
2,
4,
4,
3,
4,
3,
3,
1,
3,
3,
3,
3,
2,
2,
3,
2,
2,
3,
3,
5,
2,
2,
2,
3,
1,
2,
3,
2,
4,
2,
2,
4,
4,
2,
5,
4,
2,
2,
3,
2,
4,
4,
4,
2,
4,
2,
7,
2,
4,
4,
3,
4,
4,
4,
4,
3,
3,
2,
4,
2,
3,
5,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
1,
1,
1,
2,
2,
2,
4,
4,
4,
4,
4,
1,
2,
3,
3,
3,
3,
4,
4,
2,
4,
4,
1,
4,
2,
4,
3,
3,
2,
3,
2,
4,
4,
2,
2,
2,
2,
2,
1,
3,
4,
3,
2,
4,
2,
3,
2,
4,
4,
4,
3,
3,
3,
3,
2,
2,
4,
4,
3,
4,
6,
4,
4,
2,
4,
4,
4,
3,
4,
4,
2,
2,
2,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
5,
1,
4,
4,
3,
4,
3,
2,
3,
3,
4,
2,
4,
2,
4,
6,
3,
6,
6,
4,
2,
4,
4,
4,
3,
4,
4,
2,
4,
5,
6,
4,
5,
4,
4,
4,
2,
2,
3,
1,
1,
1,
1,
4,
2,
2,
2,
3,
2,
4,
4,
4,
3,
2,
2,
4,
3,
3,
3,
2,
3,
3,
4,
3,
3,
2,
3,
3,
3,
3,
5,
3,
3,
3,
5,
6,
5,
4,
4,
4,
6,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
5,
3,
4,
6,
3,
3,
3,
3,
5,
4,
4,
3,
4,
3,
4,
3,
3,
3,
2,
3,
2,
4,
3,
2,
3,
2,
2,
3,
2,
4,
6,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
5,
3,
3,
2,
4,
2,
3,
3,
3,
3,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
6,
5,
2,
5,
3,
3,
3,
3,
4,
5,
2,
5,
5,
5,
7,
5,
3,
3,
3,
2,
2,
2,
2,
2,
2,
5,
4,
2,
4,
4,
3,
5,
8,
5,
4,
3,
3,
4,
2,
4,
4,
3,
5,
4,
2,
5,
3,
5,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
3,
2,
3,
2,
7,
4,
5,
6,
4,
3,
5,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
5,
5,
3,
4,
3,
4,
3,
3,
2,
2,
5,
2,
6,
3,
4,
4,
4,
4,
4,
4,
3,
5,
2,
2,
4,
2,
2,
3,
3,
3,
2,
3,
4,
2,
3,
4,
3,
4,
3,
3,
3,
3,
6,
4,
2,
3,
5,
2,
2,
4,
2,
4,
4,
5,
4,
4,
3,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
5,
4,
4,
4,
4,
4,
4,
5,
2,
5,
2,
3,
4,
3,
3,
3,
4,
4,
2,
3,
4,
4,
3,
3,
3,
4,
3,
4,
4,
2,
5,
2,
2,
2,
4,
3,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
3,
4,
2,
4,
4,
3,
2,
3,
3,
2,
2,
3,
4,
2,
3,
3,
4,
2,
3,
2,
4,
2,
2,
3,
2,
4,
4,
4,
4,
3,
5,
6,
4,
3,
4,
3,
2,
4,
4,
3,
5,
3,
4,
4,
5,
4,
4,
4,
4,
3,
2,
4,
3,
2,
3,
4,
5,
3,
4,
2,
4,
1,
4,
4,
6,
5,
2,
2,
3,
3,
4,
2,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
5,
4,
2,
2,
2,
3,
5,
4,
4,
1,
4,
3,
3,
4,
2,
2,
2,
3,
3,
3,
3,
4,
3,
4,
4,
3,
3,
3,
2,
3,
3,
3,
5,
5,
6,
2,
4,
4,
5,
4,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
7,
2,
4,
4,
4,
4,
4,
1,
3,
3,
3,
4,
3,
4,
4,
4,
3,
4,
4,
5,
4,
4,
2,
4,
4,
3,
4,
2,
2,
5,
3,
5,
2,
5,
7,
5,
5,
3,
4,
2,
4,
1,
2,
3,
3,
2,
3,
3,
4,
2,
3,
3,
4,
4,
2,
4,
2,
3,
5,
3,
3,
4,
6,
2,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
3,
2,
4,
3,
3,
3,
4,
3,
4,
4,
7,
5,
4,
6,
4,
6,
4,
4,
4,
3,
4,
4,
4,
2,
4,
4,
3,
3,
4,
2,
3,
4,
3,
3,
4,
4,
3,
4,
4,
3,
2,
3,
2,
3,
2,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
2,
2,
1,
4,
2,
2,
4,
2,
4,
4,
4,
4,
2,
1,
4,
3,
3,
5,
3,
3,
4,
2,
4,
2,
3,
3,
3,
2,
2,
3,
4,
2,
4,
4,
4,
6,
4,
4,
4,
4,
6,
4,
3,
4,
7,
3,
3,
4,
4,
2,
4,
4,
4,
4,
4,
5,
5,
4,
3,
2,
3,
2,
3,
2,
3,
6,
3,
4,
4,
4,
5,
2,
3,
3,
4,
2,
4,
3,
3,
3,
3,
4,
6,
4,
9,
4,
5,
2,
2,
4,
4,
4,
7,
2,
5,
3,
3,
2,
2,
3,
2,
3,
2,
2,
2,
3,
4,
4,
4,
4,
3,
4,
2,
2,
4,
2,
2,
4,
4,
3,
4,
1,
3,
2,
2,
4,
4,
3,
3,
4,
9,
4,
4,
5,
3,
2,
3,
3,
3,
2,
5,
6,
3,
5,
4,
3,
3,
5,
2,
3,
2,
3,
3,
4,
5,
3,
1,
3,
4,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
3,
2,
3,
4,
3,
3,
3,
3,
4,
2,
3,
2,
4,
2,
2,
5,
5,
3,
5,
5,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
4,
4,
5,
4,
3,
3,
4,
2,
4,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
3,
2,
3,
2,
3,
3,
2,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
6,
2,
4,
3,
3,
3,
3,
3,
5,
4,
6,
3,
4,
6,
2,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
2,
4,
3,
3,
3,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
5,
2,
4,
4,
3,
4,
3,
4,
2,
2,
2,
2,
3,
5,
4,
3,
3,
3,
5,
5,
2,
6,
2,
2,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
5,
5,
3,
3,
3,
4,
4,
8,
2,
4,
2,
2,
2,
5,
6,
5,
3,
2,
3,
5,
4,
4,
4,
2,
4,
5,
2,
4,
4,
2,
3,
3,
2,
1,
3,
5,
4,
3,
2,
2,
5,
2,
2,
2,
4,
4,
3,
5,
4,
4,
4,
2,
2,
3,
4,
3,
5,
3,
4,
3,
4,
2,
2,
4,
4,
6,
4,
2,
4,
3,
4,
4,
2,
3,
3,
2,
4,
3,
2,
2,
2,
5,
3,
3,
4,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
4,
5,
3,
4,
2,
3,
3,
2,
3,
4,
2,
4,
3,
4,
3,
6,
3,
5,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
6,
3,
2,
2,
2,
2,
3,
4,
3,
3,
1,
2,
2,
2,
2,
3,
3,
2,
2,
7,
3,
3,
3,
4,
3,
4,
2,
5,
3,
3,
3,
3,
3,
5,
3,
3,
4,
3,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
2,
5,
4,
3,
2,
2,
4,
6,
3,
7,
4,
4,
5,
5,
4,
3,
4,
4,
2,
4,
2,
2,
4,
2,
2,
2,
4,
2,
2,
4,
2,
4,
3,
4,
3,
2,
4,
2,
6,
4,
4,
4,
4,
4,
2,
2,
2,
5,
5,
2,
4,
3,
4,
4,
4,
4,
4,
2,
2,
4,
3,
3,
2,
4,
5,
4,
4,
2,
4,
4,
5,
3,
3,
3,
2,
4,
2,
2,
1,
2,
1,
3,
4,
3,
2,
4,
3,
3,
2,
3,
1,
2,
4,
2,
3,
3,
2,
3,
4,
3,
4,
4,
4,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
4,
3,
2,
2,
4,
3,
2,
3,
3,
3,
4,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
3,
3,
2,
2,
3,
5,
3,
4,
5,
5,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
2,
5,
3,
3,
2,
4,
2,
2,
4,
4,
4,
3,
2,
4,
4,
1,
2,
2,
4,
4,
2,
4,
4,
4,
4,
5,
4,
2,
2,
2,
4,
2,
4,
2,
2,
3,
4,
2,
2,
7,
3,
3,
2,
3,
2,
3,
2,
4,
3,
3,
3,
2,
4,
4,
5,
4,
5,
5,
4,
2,
3,
3,
4,
4,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
2,
3,
3,
3,
2,
5,
5,
4,
3,
3,
3,
3,
3,
6,
2,
2,
2,
2,
2,
4,
4,
6,
4,
4,
5,
5,
4,
4,
4,
4,
4,
2,
4,
3,
3,
2,
4,
4,
4,
2,
3,
4,
4,
3,
3,
6,
3,
3,
4,
3,
4,
2,
3,
2,
2,
2,
1,
3,
7,
3,
2,
4,
4,
4,
2,
4,
2,
2,
2,
3,
3,
3,
3,
4,
4,
3,
4,
2,
4,
4,
2,
2,
2,
3,
4,
4,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
1,
4,
3,
4,
4,
2,
1,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
4,
4,
3,
8,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
5,
3,
8,
1,
4,
2,
6,
4,
7,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
8,
4,
6,
5,
4,
3,
5,
3,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
4,
2,
2,
4,
2,
4,
4,
4,
3,
4,
3,
4,
3,
3,
3,
3,
4,
4,
2,
3,
4,
3,
3,
1,
2,
2,
1,
2,
4,
3,
2,
9,
3,
2,
3,
1,
2,
4,
3,
3,
3,
2,
2,
2,
4,
3,
3,
2,
2,
1,
3,
3,
3,
3,
3,
4,
2,
2,
4,
3,
2,
2,
3,
3,
3,
3,
4,
2,
4,
3,
3,
3,
2,
4,
4,
3,
4,
4,
4,
3,
2,
4,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
5,
4,
5,
6,
6,
5,
4,
2,
2,
4,
3,
4,
4,
5,
5,
4,
3,
3,
2,
3,
4,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
2,
2,
2,
2,
3,
5,
4,
3,
3,
4,
4,
3,
2,
2,
2,
4,
2,
3,
2,
2,
4,
4,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
5,
2,
2,
3,
2,
2,
2,
2,
2,
2,
6,
3,
3,
2,
3,
2,
3,
2,
2,
4,
3,
3,
2,
1,
4,
5,
1,
5,
4,
2,
5,
5,
3,
3,
4,
4,
4,
4,
3,
2,
3,
4,
3,
2,
2,
2,
2,
2,
3,
5,
3,
4,
4,
4,
3,
4,
3,
3,
4,
3,
2,
2,
2,
5,
3,
3,
3,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
1,
5,
5,
5,
4,
2,
5,
3,
1,
2,
4,
4,
5,
4,
4,
4,
4,
4,
5,
3,
3,
2,
7,
3,
3,
2,
3,
5,
2,
3,
2,
4,
4,
4,
4,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
3,
4,
3,
2,
2,
2,
4,
3,
2,
2,
3,
4,
4,
4,
6,
4,
4,
2,
3,
2,
2,
2,
2,
6,
3,
2,
2,
3,
2,
3,
2,
2,
2,
2,
3,
2,
4,
2,
3,
4,
3,
2,
3,
3,
3,
1,
3,
3,
4,
4,
2,
4,
4,
2,
2,
4,
3,
4,
3,
3,
3,
4,
3,
3,
6,
2,
4,
2,
2,
5,
3,
4,
4,
4,
6,
4,
2,
4,
3,
4,
1,
3,
2,
2,
4,
3,
4,
3,
3,
3,
3,
2,
3,
2,
2,
3,
4,
2,
2,
4,
3,
3,
3,
3,
2,
4,
3,
4,
4,
2,
3,
8,
8,
4,
4,
4,
3,
5,
2,
2,
2,
2,
2,
2,
5,
3,
3,
2,
3,
2,
2,
3,
3,
3,
4,
4,
4,
4,
3,
6,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
4,
4,
5,
5,
5,
4,
4,
2,
2,
2,
2,
4,
2,
4,
4,
2,
4,
2,
5,
2,
2,
4,
4,
4,
3,
3,
3,
3,
1,
3,
4,
3,
4,
4,
4,
4,
2,
2,
4,
3,
6,
2,
2,
2,
4,
4,
3,
4,
4,
4,
3,
2,
2,
3,
4,
3,
3,
3,
3,
3,
4,
2,
2,
3,
3,
4,
4,
4,
2,
6,
2,
3,
5,
2,
2,
2,
3,
5,
3,
3,
6,
4,
3,
3,
1,
4,
4,
4,
2,
2,
4,
4,
2,
2,
5,
3,
4,
4,
2,
2,
2,
4,
3,
2,
3,
3,
3,
5,
3,
4,
2,
4,
3,
4,
3,
4,
2,
3,
4,
2,
3,
2,
4,
4,
3,
4,
4,
2,
4,
4,
5,
4,
4,
5,
6,
3,
3,
3,
2,
3,
2,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
4,
2,
3,
5,
3,
3,
10,
4,
3,
4,
3,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
7,
2,
4,
2,
3,
2,
3,
4,
5,
4,
4,
3,
4,
1,
4,
5,
5,
1,
5,
5,
2,
3,
2,
1,
3,
3,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
4,
2,
4,
4,
5,
2,
3,
2,
2,
3,
3,
2,
4,
2,
2,
3,
5,
6,
5,
4,
2,
2,
4,
3,
3,
3,
3,
3,
3,
2,
6,
3,
3,
5,
3,
4,
3,
2,
2,
2,
3,
2,
2,
4,
3,
3,
3,
5,
3,
4,
4,
3,
2,
2,
2,
3,
3,
2,
5,
6,
4,
4,
5,
5,
2,
2,
2,
2,
4,
4,
3,
4,
4,
3,
3,
3,
2,
2,
2,
4,
2,
3,
3,
4,
2,
4,
4,
3,
2,
3,
2,
2,
4,
1,
4,
3,
3,
3,
3,
4,
2,
2,
4,
3,
2,
2,
2,
3,
3,
4,
6,
5,
4,
4,
5,
3,
4,
2,
4,
3,
3,
4,
4,
5,
2,
2,
2,
7,
2,
2,
1,
1,
2,
2,
8,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
5,
4,
4,
4,
3,
4,
3,
5,
3,
2,
2,
4,
5,
4,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
2,
2,
3,
3,
3,
5,
2,
4,
4,
2,
3,
3,
3,
3,
4,
2,
2,
3,
2,
2,
3,
2,
2,
2,
4,
2,
4,
3,
2,
3,
4,
2,
3,
2,
2,
2,
2,
4,
4,
7,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
2,
4,
3,
3,
2,
2,
3,
2,
3,
3,
2,
2,
2,
2,
4,
3,
2,
5,
2,
4,
3,
3,
3,
4,
4,
8,
6,
4,
2,
2,
3,
3,
3,
3,
2,
6,
5,
8,
4,
4,
4,
2,
4,
2,
1,
4,
4,
2,
4,
4,
4,
4,
4,
2,
2,
4,
5,
4,
5,
4,
3,
4,
4,
4,
4,
3,
4,
2,
3,
2,
2,
4,
3,
2,
3,
3,
2,
2,
4,
2,
3,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
1,
4,
3,
4,
8,
4,
2,
3,
5,
4,
3,
3,
3,
3,
3,
4,
6,
4,
4,
4,
3,
3,
3,
3,
2,
3,
2,
3,
3,
4,
4,
6,
4,
3,
4,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
1,
3,
3,
2,
6,
3,
3,
5,
5,
4,
5,
5,
3,
3,
4,
2,
4,
4,
3,
3,
2,
3,
4,
3,
5,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
4,
2,
4,
1,
3,
4,
3,
3,
5,
3,
3,
2,
2,
3,
2,
3,
3,
2,
6,
5,
5,
4,
4,
3,
3,
3,
4,
4,
5,
7,
3,
2,
2,
3,
2,
4,
4,
2,
4,
4,
4,
2,
4,
3,
4,
4,
4,
2,
3,
4,
2,
2,
2,
4,
2,
2,
4,
2,
2,
4,
2,
4,
3,
3,
4,
5,
3,
4,
4,
3,
4,
5,
3,
3,
4,
4,
2,
3,
5,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
2,
2,
3,
3,
2,
5,
5,
2,
2,
2,
2,
7,
4,
4,
5,
0,
4,
2,
3,
4,
4,
4,
4,
6,
5,
4,
4,
2,
8,
4,
6,
7,
2,
3,
3,
3,
3,
3,
2,
4,
5,
4,
4,
3,
5,
4,
5,
5,
5,
1,
3,
5,
5,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
5,
4,
4,
4,
2,
4,
2,
2,
1,
2,
2,
2,
2,
4,
4,
4,
4,
5,
2,
5,
4,
4,
2,
2,
2,
4,
4,
2,
2,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
3,
3,
6,
3,
5,
3,
4,
3,
7,
4,
2,
4,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
3,
4,
2,
6,
6,
8,
3,
5,
3,
3,
2,
3,
3,
4,
2,
4,
4,
4,
4,
5,
4,
2,
3,
2,
4,
4,
3,
3,
3,
2,
2,
3,
2,
3,
3,
3,
3,
2,
5,
5,
4,
3,
3,
3,
2,
4,
3,
2,
2,
2,
4,
4,
3,
3,
2,
3,
3,
3,
2,
4,
4,
4,
4,
4,
2,
3,
4,
3,
4,
2,
4,
2,
4,
2,
2,
2,
2,
3,
3,
3,
5,
4,
4,
3,
4,
3,
5,
3,
1,
2,
4,
2,
2,
2,
3,
3,
4,
3,
1,
2,
2,
3,
3,
4,
4,
4,
4,
6,
4,
6,
4,
2,
4,
2,
4,
3,
3,
2,
4,
3,
3,
3,
4,
3,
2,
4,
2,
3,
3,
3,
3,
5,
3,
3,
7,
2,
3,
6,
4,
2,
4,
7,
3,
3,
3,
3,
3,
3,
2,
2,
4,
3,
4,
5,
3,
3,
4,
4,
5,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
5,
5,
2,
3,
4,
2,
2,
2,
2,
3,
4,
2,
4,
4,
3,
4,
3,
4,
3,
3,
3,
4,
3,
3,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
5,
2,
3,
1,
2,
2,
1,
2,
2,
3,
2,
2,
2,
3,
3,
4,
2,
3,
2,
3,
6,
3,
2,
3,
4,
2,
2,
2,
3,
3,
5,
4,
4,
4,
3,
3,
8,
4,
4,
4,
4,
3,
4,
4,
4,
3,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
7,
2,
7,
1,
2,
2,
3,
4,
3,
5,
4,
2,
5,
1,
4,
2,
3,
3,
1,
3,
2,
4,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
4,
4,
4,
3,
5,
5,
2,
2,
5,
4,
3,
4,
2,
5,
4,
2,
4,
3,
4,
4,
4,
2,
2,
3,
3,
4,
3,
4,
5,
4,
4,
3,
5,
2,
3,
2,
5,
4,
4,
4,
3,
4,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
5,
2,
4,
4,
3,
2,
2,
4,
3,
4,
2,
4,
2,
2,
3,
3,
3,
3,
4,
3,
3,
2,
4,
4,
4,
4,
1,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
3,
3,
4,
4,
2,
3,
3,
4,
2,
5,
3,
4,
5,
2,
4,
4,
4,
6,
4,
4,
2,
4,
4,
2,
3,
2,
2,
4,
2,
4,
4,
2,
4,
4,
5,
2,
5,
3,
5,
2,
3,
3,
4,
2,
4,
4,
4,
4,
3,
3,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
5,
2,
2,
2,
2,
3,
3,
2,
2,
3,
5,
4,
2,
2,
5,
5,
3,
4,
2,
2,
2,
2,
6,
6,
3,
2,
5,
2,
2,
3,
3,
4,
3,
3,
3,
4,
5,
3,
3,
4,
4,
3,
4,
5,
3,
2,
2,
5,
3,
5,
4,
4,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
4,
3,
2,
2,
4,
4,
4,
4,
5,
2,
3,
3,
2,
3,
4,
4,
4,
4,
4,
5,
5,
3,
4,
4,
1,
4,
3,
3,
4,
3,
3,
3,
2,
3,
5,
5,
5,
3,
2,
4,
4,
4,
4,
4,
4,
4,
5,
3,
3,
4,
2,
3,
3,
3,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
6,
2,
4,
6,
4,
3,
5,
4,
3,
3,
4,
4,
4,
2,
3,
3,
7,
3,
2,
7,
3,
3,
4,
4,
3,
4,
3,
7,
5,
3,
3,
4,
3,
4,
3,
3,
3,
3,
3,
3,
6,
4,
6,
5,
5,
4,
2,
2,
3,
3,
2,
2,
2,
2,
3,
2,
4,
4,
2,
4,
4,
7,
2,
2,
4,
4,
4,
5,
6,
5,
3,
2,
2,
2,
2,
2,
2,
2,
6,
3,
5,
4,
4,
2,
3,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
2,
4,
4,
4,
2,
4,
3,
2,
2,
2,
3,
2,
2,
3,
2,
3,
2,
4,
3,
5,
2,
4,
7,
6,
4,
2,
4,
3,
2,
6,
2,
2,
6,
5,
3,
8,
3,
4,
2,
2,
2,
2,
3,
2,
4,
3,
4,
4,
2,
4,
3,
3,
3,
2,
3,
3,
6,
3,
4,
4,
3,
6,
5,
2,
5,
7,
4,
4,
4,
2,
2,
3,
3,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
2,
2,
4,
2,
4,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
3,
2,
5,
3,
3,
2,
3,
1,
4,
4,
3,
3,
3,
1,
2,
2,
3,
2,
3,
3,
3,
2,
2,
4,
4,
4,
3,
2,
2,
2,
4,
4,
6,
5,
4,
2,
4,
2,
2,
3,
3,
2,
3,
6,
4,
3,
5,
5,
5,
6,
4,
4,
2,
4,
2,
3,
3,
2,
2,
2,
4,
3,
4,
2,
3,
2,
3,
2,
4,
3,
3,
3,
5,
4,
4,
5,
6,
2,
4,
5,
5,
2,
2,
4,
3,
3,
2,
3,
4,
5,
4,
2,
2,
2,
2,
3,
4,
3,
4,
4,
4,
3,
3,
4,
4,
3,
3,
3,
3,
2,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
4,
5,
4,
6,
3,
4,
3,
3,
3,
4,
1,
3,
2,
3,
2,
3,
3,
3,
3,
5,
3,
3,
6,
5,
4,
5,
5,
2,
4,
2,
4,
2,
2,
10,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
3,
3,
2,
4,
2,
4,
3,
4,
3,
2,
3,
3,
3,
3,
3,
2,
3,
4,
2,
3,
2,
3,
2,
4,
2,
4,
4,
4,
4,
5,
3,
2,
3,
6,
4,
4,
4,
3,
4,
4,
3,
4,
3,
3,
4,
2,
2,
3,
2,
4,
3,
3,
2,
4,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
5,
4,
3,
2,
2,
2,
3,
2,
3,
3,
3,
3,
2,
6,
4,
5,
4,
3,
4,
4,
4,
4,
3,
3,
2,
5,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
3,
3,
4,
5,
4,
5,
5,
4,
5,
3,
2,
4,
3,
3,
3,
3,
3,
2,
3,
4,
4,
2,
3,
5,
5,
5,
4,
5,
6,
2,
3,
3,
2,
3,
3,
3,
2,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
3,
4,
2,
3,
4,
6,
4,
2,
4,
3,
4,
4,
3,
3,
3,
3,
4,
2,
3,
2,
5,
3,
4,
3,
4,
3,
6,
4,
2,
3,
6,
3,
2,
3,
5,
4,
4,
3,
3,
3,
2,
3,
3,
3,
2,
3,
4,
2,
4,
4,
2,
2,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
2,
4,
2,
2,
3,
2,
4,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
7,
3,
3,
3,
2,
3,
3,
2,
3,
3,
2,
2,
2,
3,
3,
2,
3,
5,
6,
4,
3,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
1,
2,
3,
3,
2,
3,
4,
4,
2,
4,
4,
3,
4,
2,
2,
3,
5,
5,
4,
3,
5,
3,
3,
5,
5,
2,
2,
3,
4,
3,
3,
3,
4,
4,
3,
4,
3,
3,
4,
3,
2,
2,
2,
4,
3,
2,
2,
2,
5,
4,
2,
4,
3,
3,
3,
3,
4,
5,
4,
5,
4,
4,
3,
5,
4,
8,
5,
2,
2,
5,
6,
6,
5,
5,
5,
6,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
6,
4,
3,
3,
2,
2,
5,
5,
2,
2,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
5,
5,
2,
5,
2,
2,
4,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
4,
3,
3,
2,
2,
2,
3,
3,
2,
4,
2,
2,
4,
6,
2,
3,
2,
2,
6,
4,
2,
5,
2,
2,
6,
2,
2,
3,
3,
4,
4,
3,
4,
6,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
3,
3,
3,
2,
5,
5,
4,
4,
4,
5,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
6,
3,
3,
2,
5,
4,
3,
2,
5,
3,
3,
2,
2,
2,
4,
6,
4,
4,
5,
3,
3,
4,
2,
3,
3,
5,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
3,
3,
4,
3,
2,
3,
3,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
6,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
4,
4,
3,
3,
3,
3,
2,
2,
4,
4,
2,
2,
4,
4,
4,
2,
2,
4,
2,
2,
2,
4,
4,
4,
3,
2,
3,
4,
4,
4,
2,
4,
2,
2,
2,
4,
3,
3,
3,
6,
6,
3,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
5,
2,
5,
5,
2,
3,
4,
5,
4,
4,
3,
4,
4,
4,
6,
4,
4,
3,
2,
2,
4,
4,
7,
4,
2,
4,
4,
2,
4,
2,
4,
3,
5,
5,
7,
2,
5,
4,
3,
3,
3,
4,
2,
4,
4,
5,
5,
4,
2,
2,
2,
1,
2,
2,
2,
2,
2,
2,
4,
6,
6,
6,
6,
5,
3,
2,
2,
2,
2,
4,
3,
2,
2,
4,
4,
4,
4,
3,
2,
2,
2,
4,
4,
4,
3,
4,
3,
3,
2,
2,
3,
2,
4,
4,
5,
3,
3,
3,
5,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
4,
4,
5,
4,
2,
2,
2,
4,
2,
2,
9,
4,
4,
2,
5,
5,
2,
6,
5,
2,
3,
6,
5,
2,
5,
2,
2,
4,
2,
4,
4,
3,
3,
2,
4,
4,
3,
3,
4,
4,
2,
4,
3,
5,
2,
3,
3,
4,
2,
3,
4,
2,
5,
5,
6,
6,
6,
5,
5,
3,
5,
3,
4,
3,
2,
3,
4,
4,
2,
2,
1,
1,
3,
3,
3,
2,
4,
2,
2,
2,
3,
3,
3,
1,
3,
3,
4,
4,
4,
4,
7,
4,
4,
4,
4,
2,
4,
3,
2,
7,
3,
3,
3,
3,
4,
5,
4,
7,
2,
3,
2,
2,
3,
5,
2,
3,
3,
2,
2,
4,
4,
5,
5,
4,
4,
4,
3,
3,
2,
2,
4,
4,
3,
4,
2,
3,
3,
3,
2,
4,
3,
3,
2,
2,
2,
7,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
3,
3,
5,
4,
2,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
1,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
4,
3,
2,
4,
3,
3,
3,
3,
2,
2,
3,
3,
2,
3,
4,
3,
2,
4,
5,
4,
4,
3,
7,
2,
3,
4,
4,
4,
5,
4,
3,
4,
2,
1,
1,
1,
1,
4,
4,
4,
5,
4,
2,
7,
5,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
3,
2,
3,
3,
2,
3,
4,
4,
3,
3,
3,
2,
4,
4,
4,
2,
1,
3,
3,
3,
2,
4,
4,
4,
3,
3,
4,
6,
4,
3,
5,
3,
2,
3,
3,
5,
5,
5,
4,
2,
4,
4,
4,
4,
4,
2,
5,
5,
5,
5,
5,
2,
5,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
4,
3,
3,
2,
6,
3,
7,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
3,
2,
3,
4,
3,
2,
1,
3,
2,
2,
3,
4,
3,
5,
4,
4,
4,
2,
3,
2,
2,
4,
3,
3,
5,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
3,
2,
2,
3,
2,
4,
1,
2,
3,
6,
4,
2,
2,
1,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
2,
5,
4,
5,
4,
2,
4,
4,
3,
3,
8,
4,
6,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
3,
2,
5,
3,
2,
4,
2,
2,
2,
3,
7,
2,
2,
4,
4,
4,
4,
4,
3,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
5,
5,
5,
3,
4,
4,
4,
4,
2,
5,
3,
3,
1,
2,
3,
3,
3,
3,
3,
3,
6,
3,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
5,
2,
2,
2,
3,
2,
4,
3,
4,
2,
2,
2,
6,
4,
4,
4,
2,
4,
4,
3,
2,
3,
2,
3,
1,
4,
3,
1,
3,
2,
2,
3,
3,
2,
4,
3,
2,
2,
2,
3,
6,
3,
3,
4,
4,
4,
3,
2,
8,
4,
4,
9,
4,
4,
4,
4,
4,
3,
2,
3,
2,
3,
3,
2,
2,
2,
2,
5,
3,
4,
2,
2,
3,
3,
3,
3,
7,
3,
3,
2,
5,
3,
3,
5,
2,
4,
3,
4,
5,
2,
4,
2,
4,
4,
4,
2,
4,
4,
3,
3,
2,
2,
2,
3,
4,
4,
5,
4,
2,
4,
4,
5,
6,
4,
4,
3,
2,
3,
2,
4,
4,
3,
3,
5,
8,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
5,
4,
5,
5,
3,
6,
4,
4,
4,
3,
2,
4,
4,
5,
6,
3,
5,
3,
3,
2,
3,
2,
4,
4,
2,
2,
2,
3,
2,
4,
2,
4,
4,
4,
3,
2,
3,
2,
2,
6,
2,
2,
2,
3,
4,
3,
3,
3,
3,
3,
4,
4,
2,
3,
4,
3,
4,
3,
4,
5,
4,
4,
3,
3,
2,
2,
5,
6,
3,
3,
2,
5,
2,
5,
2,
3,
3,
4,
4,
4,
4,
3,
4,
3,
1,
2,
3,
2,
7,
3,
4,
4,
3,
4,
7,
3,
7,
4,
4,
4,
2,
2,
4,
4,
4,
4,
2,
3,
1,
2,
2,
2,
2,
2,
4,
2,
2,
2,
5,
3,
3,
2,
4,
7,
4,
4,
2,
4,
4,
2,
6,
3,
6,
4,
2,
3,
7,
6,
4,
4,
2,
2,
3,
2,
1,
4,
4,
2,
6,
4,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
2,
4,
4,
2,
2,
6,
5,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
2,
3,
4,
4,
4,
4,
3,
4,
3,
4,
3,
5,
3,
2,
4,
3,
3,
4,
5,
4,
4,
4,
5,
5,
5,
3,
4,
4,
2,
3,
3,
3,
2,
2,
5,
2,
2,
2,
4,
2,
3,
6,
3,
2,
2,
3,
2,
2,
4,
2,
4,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
5,
3,
4,
4,
2,
3,
3,
2,
3,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
3,
5,
5,
2,
3,
4,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
2,
2,
3,
3,
4,
2,
7,
5,
4,
3,
3,
2,
4,
3,
4,
3,
3,
3,
4,
3,
3,
4,
3,
5,
4,
4,
2,
4,
3,
4,
3,
4,
2,
5,
4,
4,
3,
2,
1,
2,
2,
4,
4,
2,
2,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
2,
2,
2,
1,
5,
2,
4,
2,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
5,
2,
2,
3,
2,
4,
4,
3,
3,
1,
2,
2,
3,
3,
4,
4,
4,
4,
6,
4,
4,
1,
4,
3,
4,
3,
2,
3,
3,
2,
2,
4,
4,
3,
4,
2,
2,
2,
2,
3,
2,
4,
4,
4,
4,
2,
4,
2,
4,
6,
4,
3,
1,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
4,
4,
4,
2,
2,
2,
4,
3,
3,
4,
3,
4,
4,
4,
3,
3,
2,
3,
3,
2,
2,
6,
4,
2,
6,
4,
5,
4,
2,
4,
1,
3,
2,
3,
3,
4,
5,
5,
4,
4,
2,
6,
4,
3,
4,
4,
4,
3,
4,
7,
4,
4,
5,
4,
2,
2,
4,
3,
2,
3,
2,
2,
3,
4,
2,
2,
2,
4,
2,
3,
3,
2,
3,
2,
3,
5,
3,
4,
3,
3,
3,
2,
5,
2,
2,
2,
2,
3,
3,
4,
4,
4,
5,
3,
3,
4,
4,
1,
3,
4,
4,
4,
2,
4,
2,
5,
7,
6,
5,
3,
5,
4,
4,
4,
2,
4,
4,
3,
4,
5,
6,
1,
3,
2,
3,
5,
2,
3,
3,
5,
5,
2,
2,
2,
2,
4,
4,
4,
4,
5,
5,
4,
5,
6,
5,
6,
3,
2,
3,
8,
7,
4,
3,
3,
4,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
3,
3,
4,
4,
4,
4,
3,
5,
4,
3,
4,
2,
2,
4,
3,
2,
4,
4,
2,
2,
3,
2,
4,
4,
3,
2,
4,
2,
4,
2,
2,
2,
4,
2,
2,
3,
7,
3,
4,
3,
2,
3,
3,
4,
4,
4,
2,
2,
4,
4,
2,
3,
4,
3,
4,
3,
5,
5,
7,
6,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
3,
3,
2,
3,
2,
3,
3,
2,
3,
3,
2,
4,
2,
4,
3,
3,
4,
2,
2,
2,
2,
2,
5,
2,
2,
4,
4,
4,
5,
4,
4,
4,
2,
3,
5,
2,
3,
3,
3,
2,
3,
2,
3,
3,
4,
2,
6,
7,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
3,
2,
4,
4,
2,
3,
2,
2,
2,
4,
5,
5,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
5,
4,
4,
4,
4,
4,
4,
3,
4,
5,
3,
7,
3,
3,
3,
2,
3,
3,
2,
4,
5,
1,
3,
4,
1,
3,
4,
6,
5,
4,
6,
6,
3,
3,
2,
2,
3,
4,
4,
3,
4,
2,
3,
2,
3,
3,
3,
4,
3,
2,
5,
2,
1,
1,
1,
4,
4,
2,
2,
3,
2,
2,
4,
2,
3,
3,
4,
2,
4,
4,
2,
2,
3,
3,
3,
2,
1,
2,
2,
5,
5,
2,
5,
3,
2,
3,
4,
2,
4,
2,
4,
2,
2,
4,
3,
3,
3,
2,
3,
3,
2,
2,
3,
3,
4,
5,
3,
4,
3,
2,
6,
2,
2,
3,
3,
3,
3,
3,
2,
2,
5,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
6,
5,
2,
2,
2,
2,
4,
3,
5,
3,
2,
3,
4,
2,
3,
3,
3,
3,
2,
7,
2,
2,
2,
2,
3,
3,
3,
2,
4,
4,
3,
3,
6,
3,
3,
4,
3,
3,
2,
4,
6,
3,
3,
2,
1,
2,
3,
2,
2,
2,
2,
3,
3,
3,
4,
2,
6,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
2,
2,
2,
4,
4,
4,
6,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
3,
4,
2,
2,
2,
4,
3,
3,
3,
2,
3,
2,
2,
1,
3,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
2,
1,
3,
2,
4,
2,
2,
4,
4,
4,
3,
2,
5,
2,
4,
4,
4,
2,
2,
4,
4,
5,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
6,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
3,
2,
1,
2,
3,
4,
4,
2,
4,
4,
2,
2,
2,
2,
3,
2,
2,
4,
4,
4,
5,
5,
5,
5,
3,
1,
1,
2,
2,
1,
4,
2,
3,
3,
3,
3,
3,
4,
5,
3,
3,
3,
3,
4,
4,
2,
4,
4,
3,
2,
3,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
7,
3,
4,
2,
4,
3,
4,
4,
2,
4,
4,
4,
4,
3,
4,
3,
2,
3,
3,
3,
3,
2,
3,
4,
3,
3,
4,
4,
5,
2,
3,
5,
4,
4,
2,
4,
4,
2,
2,
3,
3,
4,
4,
3,
2,
2,
2,
4,
4,
4,
4,
2,
2,
4,
4,
2,
4,
5,
2,
4,
3,
2,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
2,
5,
3,
3,
4,
3,
2,
5,
5,
5,
8,
2,
4,
4,
4,
2,
4,
4,
3,
3,
2,
4,
5,
4,
4,
2,
5,
4,
2,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
2,
4,
3,
2,
4,
2,
4,
1,
1,
4,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
6,
2,
4,
4,
3,
4,
4,
3,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
5,
2,
4,
3,
4,
3,
3,
3,
4,
4,
2,
2,
3,
3,
4,
3,
3,
3,
3,
5,
3,
3,
4,
4,
4,
3,
3,
5,
2,
6,
2,
2,
5,
6,
5,
4,
3,
5,
8,
1,
2,
1,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
4,
7,
4,
6,
6,
4,
4,
3,
5,
4,
4,
4,
3,
3,
3,
2,
2,
4,
4,
2,
4,
4,
3,
4,
4,
3,
4,
2,
2,
2,
3,
4,
4,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
2,
3,
3,
3,
2,
3,
2,
2,
3,
4,
2,
2,
2,
2,
4,
4,
3,
2,
3,
2,
4,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
2,
3,
3,
2,
4,
3,
2,
2,
2,
4,
8,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
4,
2,
3,
3,
3,
2,
5,
7,
3,
3,
3,
2,
2,
2,
2,
1,
4,
2,
7,
4,
4,
3,
4,
2,
2,
2,
6,
3,
2,
4,
3,
3,
1,
2,
1,
1,
4,
2,
1,
3,
3,
4,
3,
2,
3,
5,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
6,
4,
4,
3,
3,
3,
6,
5,
3,
5,
5,
4,
4,
4,
2,
4,
4,
3,
5,
3,
2,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
2,
2,
5,
4,
4,
4,
5,
4,
5,
3,
3,
4,
7,
4,
5,
5,
3,
3,
3,
3,
5,
4,
3,
3,
3,
3,
3,
3,
5,
4,
4,
4,
4,
4,
4,
5,
2,
4,
2,
2,
4,
3,
2,
2,
2,
4,
5,
3,
4,
2,
4,
4,
2,
2,
4,
4,
3,
2,
4,
2,
3,
3,
4,
4,
4,
3,
4,
4,
3,
2,
2,
4,
6,
3,
4,
4,
4,
4,
4,
2,
2,
4,
2,
4,
4,
2,
2,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
4,
8,
2,
2,
3,
3,
3,
3,
4,
4,
4,
3,
2,
3,
4,
2,
2,
4,
4,
2,
4,
4,
2,
4,
4,
4,
2,
4,
3,
3,
2,
2,
2,
2,
2,
5,
5,
3,
3,
2,
2,
4,
4,
4,
2,
2,
3,
3,
2,
7,
2,
4,
4,
4,
5,
4,
5,
5,
3,
6,
4,
4,
4,
4,
3,
4,
6,
4,
4,
4,
4,
2,
2,
2,
3,
2,
3,
3,
4,
3,
4,
4,
3,
4,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
5,
3,
4,
4,
5,
4,
4,
1,
3,
1,
2,
2,
2,
4,
2,
2,
4,
2,
4,
3,
2,
3,
4,
2,
3,
5,
2,
2,
5,
2,
5,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
3,
3,
3,
7,
4,
2,
3,
4,
2,
4,
2,
3,
2,
4,
4,
2,
2,
2,
2,
1,
2,
3,
2,
2,
2,
3,
2,
2,
4,
4,
2,
2,
2,
5,
5,
4,
5,
5,
4,
3,
4,
3,
3,
3,
3,
2,
2,
5,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
5,
3,
3,
3,
2,
3,
5,
3,
3,
5,
2,
3,
2,
1,
4,
4,
4,
4,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
4,
6,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
4,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
5,
4,
5,
4,
4,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
3,
2,
2,
3,
4,
3,
4,
4,
2,
4,
4,
2,
3,
3,
3,
2,
2,
2,
5,
3,
2,
2,
4,
4,
4,
5,
2,
2,
2,
2,
2,
4,
4,
2,
2,
7,
4,
3,
3,
2,
2,
4,
4,
3,
4,
3,
3,
3,
3,
3,
4,
3,
3,
2,
3,
3,
3,
3,
2,
3,
4,
4,
3,
4,
4,
2,
4,
4,
4,
5,
4,
4,
3,
2,
3,
4,
4,
2,
3,
4,
2,
7,
4,
4,
4,
4,
5,
2,
3,
3,
3,
2,
3,
3,
3,
7,
3,
4,
4,
4,
2,
3,
3,
4,
3,
4,
5,
2,
4,
7,
3,
1,
3,
2,
2,
4,
4,
4,
3,
4,
5,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
5,
3,
5,
3,
3,
4,
4,
1,
4,
4,
2,
1,
2,
2,
4,
4,
3,
2,
2,
2,
4,
3,
4,
3,
3,
4,
4,
4,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
7,
3,
5,
5,
5,
5,
2,
6,
3,
4,
4,
2,
2,
2,
7,
4,
3,
2,
3,
3,
3,
6,
3,
4,
2,
3,
2,
4,
4,
8,
2,
2,
5,
4,
4,
3,
5,
4,
3,
4,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
5,
4,
3,
2,
2,
4,
4,
3,
2,
2,
2,
4,
3,
3,
3,
3,
3,
4,
3,
2,
4,
3,
5,
1,
4,
4,
4,
2,
2,
5,
5,
5,
3,
5,
4,
2,
4,
2,
2,
5,
3,
3,
4,
5,
2,
4,
6,
4,
4,
4,
3,
2,
3,
3,
3,
2,
4,
4,
4,
4,
4,
2,
3,
4,
3,
3,
3,
3,
3,
4,
2,
3,
3,
4,
2,
2,
2,
2,
3,
4,
2,
3,
2,
3,
4,
4,
2,
2,
5,
4,
2,
2,
2,
4,
4,
3,
3,
3,
2,
3,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
2,
4,
4,
1,
2,
2,
2,
3,
3,
4,
3,
5,
2,
2,
3,
2,
2,
2,
3,
4,
3,
6,
3,
3,
4,
4,
5,
5,
4,
5,
2,
3,
3,
1,
9,
9,
4,
5,
3,
3,
6,
2,
4,
3,
2,
2,
4,
4,
4,
4,
4,
2,
2,
5,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
1,
4,
5,
6,
4,
5,
5,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
1,
4,
2,
1,
3,
2,
2,
4,
2,
4,
4,
6,
4,
5,
3,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
2,
3,
4,
2,
3,
2,
4,
4,
4,
2,
2,
5,
2,
4,
3,
3,
2,
4,
3,
4,
7,
5,
7,
3,
4,
5,
5,
4,
3,
3,
4,
3,
4,
4,
4,
2,
2,
3,
2,
4,
4,
3,
2,
4,
2,
3,
2,
3,
3,
4,
4,
4,
3,
2,
2,
3,
6,
3,
3,
4,
4,
4,
4,
4,
2,
3,
4,
3,
5,
4,
2,
4,
4,
4,
4,
3,
5,
5,
3,
3,
3,
4,
4,
2,
2,
3,
4,
2,
3,
3,
5,
2,
3,
3,
2,
3,
3,
3,
3,
5,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
1,
3,
3,
2,
3,
1,
3,
4,
4,
4,
4,
2,
2,
3,
2,
3,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
6,
5,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
3,
3,
4,
2,
2,
2,
2,
2,
5,
3,
3,
2,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
4,
2,
3,
3,
3,
4,
3,
3,
3,
6,
3,
5,
3,
4,
4,
3,
3,
6,
3,
2,
3,
2,
2,
3,
2,
2,
4,
5,
4,
3,
5,
2,
2,
4,
3,
3,
3,
3,
4,
2,
2,
2,
4,
2,
2,
2,
3,
4,
3,
3,
3,
4,
5,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
4,
4,
4,
2,
4,
2,
3,
1,
3,
2,
3,
2,
2,
3,
3,
2,
4,
2,
3,
2,
3,
3,
3,
3,
6,
6,
4,
4,
2,
5,
5,
4,
4,
3,
2,
4,
2,
5,
2,
4,
4,
3,
2,
3,
4,
2,
2,
4,
4,
4,
4,
3,
4,
4,
4,
8,
4,
4,
2,
2,
2,
4,
2,
2,
2,
4,
3,
4,
3,
4,
4,
4,
3,
2,
2,
5,
4,
4,
3,
2,
3,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
4,
3,
9,
5,
5,
3,
8,
2,
4,
4,
4,
4,
5,
4,
3,
3,
5,
2,
3,
3,
4,
2,
4,
4,
4,
7,
4,
3,
3,
3,
2,
4,
3,
2,
2,
3,
5,
4,
3,
4,
4,
4,
6,
2,
2,
3,
2,
2,
2,
3,
3,
4,
4,
6,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
3,
2,
4,
6,
4,
4,
4,
1,
5,
4,
3,
5,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
3,
2,
4,
2,
3,
3,
6,
4,
7,
4,
4,
4,
4,
4,
3,
6,
3,
2,
2,
2,
4,
4,
2,
6,
4,
5,
4,
6,
3,
2,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
4,
5,
3,
3,
3,
3,
4,
3,
4,
2,
2,
2,
2,
2,
3,
4,
4,
4,
5,
5,
4,
4,
4,
3,
3,
5,
5,
2,
3,
4,
4,
2,
6,
5,
6,
3,
2,
3,
3,
2,
4,
3,
4,
4,
4,
2,
5,
6,
4,
3,
4,
5,
6,
4,
4,
4,
2,
7,
4,
4,
4,
3,
4,
4,
4,
3,
4,
2,
3,
3,
3,
4,
4,
4,
2,
3,
2,
4,
4,
2,
4,
2,
2,
4,
3,
4,
4,
3,
5,
4,
4,
4,
3,
4,
4,
2,
2,
2,
3,
2,
4,
4,
4,
3,
4,
4,
2,
3,
5,
4,
2,
3,
3,
4,
5,
3,
3,
5,
3,
2,
3,
5,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
4,
5,
4,
2,
2,
3,
2,
4,
4,
2,
3,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
6,
4,
6,
4,
2,
2,
5,
4,
4,
4,
3,
4,
3,
3,
6,
3,
4,
3,
5,
2,
2,
2,
2,
2,
4,
3,
3,
6,
2,
7,
3,
2,
4,
6,
5,
6,
7,
6,
2,
3,
6,
3,
5,
2,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
2,
3,
4,
5,
1,
5,
3,
5,
4,
3,
4,
4,
4,
2,
3,
1,
4,
6,
4,
4,
4,
4,
5,
4,
4,
1,
2,
4,
4,
4,
4,
3,
6,
10,
4,
3,
3,
4,
3,
6,
3,
3,
3,
4,
4,
8,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
5,
6,
3,
4,
3,
2,
7,
4,
4,
4,
3,
2,
4,
4,
2,
4,
3,
4,
4,
4,
4,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
7,
5,
5,
5,
9,
5,
4,
3,
5,
2,
4,
4,
3,
3,
4,
3,
4,
3,
2,
2,
2,
2,
2,
4,
5,
4,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
2,
4,
6,
4,
4,
1,
4,
4,
6,
6,
5,
5,
3,
5,
5,
2,
2,
2,
2,
2,
3,
3,
4,
5,
5,
4,
4,
4,
6,
2,
3,
4,
3,
4,
3,
1,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
6,
3,
4,
4,
8,
2,
3,
3,
3,
3,
4,
2,
4,
2,
5,
3,
3,
2,
3,
3,
5,
3,
5,
3,
2,
3,
2,
4,
2,
2,
3,
4,
4,
3,
6,
4,
3,
3,
6,
2,
3,
9,
9,
4,
4,
4,
4,
4,
4,
3,
1,
3,
6,
3,
4,
3,
2,
3,
3,
3,
2,
2,
4,
4,
4,
2,
4,
4,
5,
2,
3,
3,
3,
3,
2,
3,
3,
2,
2,
3,
3,
4,
3,
2,
2,
2,
4,
2,
3,
3,
3,
7,
7,
6,
6,
4,
4,
4,
3,
3,
3,
2,
4,
3,
3,
4,
2,
5,
5,
5,
3,
4,
2,
4,
4,
3,
4,
2,
2,
2,
2,
4,
3,
3,
3,
3,
2,
5,
4,
4,
4,
2,
3,
4,
2,
2,
4,
2,
5,
4,
4,
4,
4,
3,
2,
3,
3,
3,
3,
2,
5,
6,
3,
5,
4,
6,
2,
5,
3,
2,
5,
3,
2,
2,
3,
2,
2,
4,
4,
3,
3,
4,
2,
3,
3,
3,
3,
3,
2,
3,
4,
4,
3,
2,
5,
2,
2,
2,
6,
4,
3,
3,
3,
6,
6,
4,
3,
3,
3,
2,
6,
4,
3,
2,
7,
2,
2,
2,
3,
2,
2,
6,
3,
3,
2,
3,
2,
2,
2,
5,
4,
2,
3,
6,
5,
2,
3,
3,
1,
2,
3,
2,
3,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
3,
3,
2,
3,
2,
3,
3,
5,
4,
4,
3,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
4,
2,
3,
4,
1,
2,
4,
2,
2,
4,
2,
2,
3,
4,
3,
3,
3,
3,
3,
6,
3,
3,
4,
3,
3,
4,
3,
5,
4,
5,
3,
3,
2,
2,
2,
3,
3,
4,
4,
6,
4,
2,
4,
3,
4,
3,
3,
2,
2,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
5,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
4,
3,
3,
2,
4,
4,
2,
3,
3,
2,
4,
3,
2,
2,
4,
2,
4,
4,
4,
5,
2,
5,
5,
3,
3,
3,
3,
4,
2,
3,
3,
3,
3,
2,
1,
3,
2,
3,
3,
3,
3,
5,
3,
3,
3,
3,
2,
2,
2,
4,
3,
1,
2,
4,
2,
2,
5,
4,
4,
3,
4,
4,
2,
3,
3,
3,
2,
4,
1,
4,
4,
3,
3,
3,
4,
5,
4,
5,
4,
5,
4,
4,
6,
5,
4,
2,
2,
7,
5,
2,
2,
4,
5,
2,
4,
4,
4,
3,
3,
3,
4,
4,
2,
5,
2,
4,
3,
3,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
5,
5,
7,
6,
6,
4,
4,
2,
4,
3,
2,
3,
3,
3,
5,
3,
2,
2,
3,
2,
2,
4,
3,
3,
3,
6,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
5,
4,
3,
4,
4,
4,
7,
4,
2,
4,
4,
4,
2,
4,
2,
3,
2,
4,
4,
2,
4,
6,
5,
2,
4,
3,
3,
3,
2,
5,
2,
3,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
3,
2,
4,
4,
4,
4,
6,
2,
4,
4,
1,
2,
4,
4,
4,
4,
2,
3,
3,
3,
2,
4,
5,
4,
3,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
4,
2,
4,
4,
3,
5,
2,
3,
1,
3,
2,
4,
4,
4,
4,
2,
4,
2,
2,
1,
3,
3,
4,
3,
2,
3,
2,
3,
3,
2,
5,
4,
5,
5,
3,
3,
3,
3,
4,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
4,
5,
5,
5,
5,
3,
5,
5,
2,
2,
4,
5,
4,
4,
5,
4,
5,
3,
3,
2,
2,
2,
3,
3,
3,
2,
9,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
3,
3,
2,
7,
3,
4,
3,
3,
2,
4,
3,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
6,
5,
5,
5,
5,
5,
2,
3,
5,
5,
4,
2,
4,
3,
3,
2,
2,
2,
2,
1,
2,
1,
6,
5,
5,
2,
3,
4,
3,
2,
2,
2,
2,
3,
6,
4,
3,
4,
3,
4,
5,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
3,
2,
4,
2,
3,
5,
2,
3,
3,
3,
3,
4,
2,
4,
2,
4,
4,
5,
3,
4,
3,
3,
5,
3,
3,
3,
2,
2,
2,
2,
3,
2,
4,
4,
2,
4,
2,
3,
4,
2,
4,
2,
1,
3,
4,
4,
4,
3,
4,
4,
3,
4,
4,
2,
4,
2,
2,
4,
3,
2,
3,
2,
2,
2,
2,
4,
3,
2,
3,
3,
3,
3,
2,
2,
4,
4,
4,
2,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
2,
4,
3,
1,
4,
4,
4,
3,
4,
3,
3,
3,
2,
3,
3,
3,
2,
2,
4,
4,
4,
4,
5,
2,
3,
3,
3,
4,
6,
2,
5,
6,
4,
5,
3,
2,
2,
2,
3,
2,
4,
4,
3,
2,
3,
3,
3,
2,
2,
2,
4,
2,
3,
3,
4,
2,
5,
5,
2,
3,
3,
3,
4,
3,
3,
4,
2,
1,
3,
4,
2,
2,
1,
4,
3,
2,
2,
3,
2,
2,
2,
4,
2,
4,
4,
3,
3,
2,
2,
3,
3,
3,
3,
4,
4,
5,
4,
4,
2,
5,
2,
2,
2,
2,
5,
5,
2,
2,
3,
3,
2,
6,
5,
4,
3,
2,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
4,
4,
4,
2,
4,
4,
6,
2,
3,
3,
2,
3,
2,
3,
2,
4,
2,
2,
3,
5,
2,
4,
3,
3,
3,
3,
2,
2,
4,
4,
2,
3,
4,
2,
2,
3,
4,
7,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
4,
6,
4,
4,
4,
3,
4,
3,
2,
6,
6,
2,
4,
2,
2,
2,
2,
6,
3,
3,
2,
4,
2,
3,
2,
3,
5,
4,
3,
4,
4,
6,
4,
2,
4,
3,
4,
3,
3,
4,
2,
4,
3,
5,
4,
3,
3,
2,
2,
4,
6,
5,
4,
4,
5,
4,
6,
4,
3,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
1,
1,
4,
5,
3,
4,
3,
4,
4,
4,
4,
3,
4,
2,
4,
4,
2,
2,
3,
2,
1,
4,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
5,
3,
3,
3,
3,
2,
2,
3,
2,
2,
4,
3,
3,
3,
3,
3,
6,
4,
4,
4,
2,
3,
2,
4,
4,
4,
2,
3,
5,
3,
3,
3,
3,
3,
4,
5,
2,
2,
2,
2,
3,
2,
2,
3,
2,
3,
4,
4,
2,
2,
3,
4,
4,
3,
6,
4,
4,
3,
2,
3,
4,
2,
2,
2,
2,
2,
3,
3,
2,
5,
3,
3,
3,
3,
9,
5,
4,
3,
3,
2,
3,
3,
4,
3,
3,
2,
2,
3,
1,
2,
2,
2,
2,
2,
1,
1,
3,
2,
3,
2,
3,
2,
4,
4,
5,
4,
5,
2,
5,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
5,
3,
5,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
3,
4,
4,
3,
2,
2,
2,
2,
5,
5,
5,
3,
5,
3,
3,
5,
3,
2,
6,
3,
3,
3,
3,
3,
3,
2,
3,
3,
7,
2,
3,
6,
8,
4,
3,
3,
2,
3,
4,
4,
2,
2,
3,
4,
4,
3,
4,
6,
3,
3,
3,
3,
4,
4,
3,
3,
2,
3,
3,
5,
2,
2,
6,
6,
4,
6,
6,
2,
5,
2,
3,
2,
2,
4,
2,
3,
2,
2,
2,
3,
2,
2,
5,
2,
7,
3,
3,
5,
3,
1,
4,
4,
4,
3,
4,
2,
4,
4,
2,
5,
3,
2,
2,
3,
2,
2,
4,
3,
4,
3,
4,
5,
5,
4,
8,
4,
3,
3,
3,
3,
3,
4,
3,
3,
3,
4,
6,
3,
5,
2,
7,
3,
2,
2,
2,
2,
3,
3,
3,
3,
2,
3,
3,
4,
4,
4,
1,
3,
3,
5,
3,
4,
2,
2,
2,
4,
2,
3,
3,
2,
2,
2,
5,
2,
3,
4,
2,
3,
5,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
4,
3,
7,
4,
4,
4,
4,
4,
2,
3,
2,
3,
4,
3,
6,
2,
6,
2,
5,
5,
3,
2,
4,
4,
3,
4,
2,
2,
5,
4,
4,
4,
2,
2,
4,
4,
2,
5,
4,
2,
2,
3,
4,
4,
5,
4,
5,
8,
4,
3,
5,
3,
6,
6,
4,
5,
2,
5,
2,
3,
4,
2,
3,
1,
2,
2,
2,
2,
3,
2,
3,
3,
4,
4,
2,
4,
5,
4,
4,
3,
2,
3,
4,
4,
3,
1,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
2,
3,
3,
2,
3,
2,
3,
3,
3,
3,
4,
3,
2,
3,
4,
4,
2,
2,
4,
4,
3,
2,
2,
4,
4,
4,
2,
2,
2,
4,
3,
2,
3,
3,
3,
2,
2,
2,
2,
5,
3,
2,
2,
4,
2,
2,
4,
2,
2,
4,
4,
4,
5,
2,
3,
2,
2,
2,
5,
5,
5,
4,
4,
4,
2,
3,
4,
3,
2,
2,
2,
2,
4,
3,
4,
3,
4,
7,
4,
2,
6,
4,
2,
2,
5,
3,
3,
5,
3,
2,
7,
3,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
6,
4,
2,
4,
3,
3,
3,
2,
2,
4,
2,
2,
4,
2,
2,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
2,
2,
2,
2,
4,
3,
4,
3,
3,
3,
7,
4,
2,
4,
2,
3,
3,
2,
3,
3,
3,
4,
4,
4,
3,
3,
3,
3,
4,
3,
1,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
3,
2,
2,
3,
2,
3,
3,
4,
4,
4,
3,
2,
3,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
3,
4,
2,
2,
2,
2,
2,
3,
1,
3,
3,
1,
2,
3,
4,
2,
2,
4,
3,
2,
4,
3,
4,
4,
4,
4,
4,
5,
4,
4,
5,
2,
2,
2,
3,
2,
4,
4,
5,
4,
2,
3,
6,
2,
2,
3,
3,
2,
1,
2,
5,
3,
4,
4,
7,
3,
3,
2,
3,
5,
4,
3,
4,
4,
4,
3,
4,
3,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
3,
3,
3,
3,
4,
3,
2,
2,
2,
3,
2,
2,
3,
3,
4,
4,
4,
4,
4,
3,
2,
3,
3,
7,
2,
2,
4,
4,
3,
4,
3,
3,
2,
2,
4,
4,
6,
3,
2,
8,
2,
2,
3,
4,
2,
4,
3,
3,
2,
2,
4,
3,
8,
3,
4,
3,
2,
4,
4,
1,
4,
2,
4,
2,
2,
2,
2,
4,
3,
4,
4,
2,
7,
4,
4,
3,
5,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
4,
4,
2,
3,
6,
5,
4,
4,
3,
2,
4,
3,
2,
2,
2,
4,
4,
2,
2,
4,
4,
4,
1,
3,
4,
5,
3,
3,
3,
2,
3,
2,
3,
5,
3,
2,
2,
2,
3,
4,
3,
3,
5,
2,
2,
2,
5,
4,
3,
4,
3,
3,
2,
3,
4,
4,
4,
3,
4,
4,
2,
6,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
5,
7,
5,
3,
3,
3,
3,
2,
5,
7,
5,
8,
4,
4,
3,
2,
3,
2,
2,
2,
3,
4,
3,
3,
2,
2,
2,
2,
4,
2,
4,
5,
3,
3,
2,
3,
2,
2,
2,
1,
2,
3,
3,
6,
3,
3,
3,
3,
2,
2,
4,
3,
4,
5,
3,
3,
3,
3,
3,
3,
6,
2,
2,
4,
4,
7,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
6,
2,
4,
4,
2,
2,
2,
3,
4,
2,
2,
4,
2,
2,
3,
2,
4,
3,
3,
4,
2,
4,
2,
2,
4,
2,
3,
3,
5,
3,
2,
3,
4,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
4,
5,
2,
2,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
5,
2,
3,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
4,
3,
2,
4,
4,
4,
4,
2,
4,
2,
2,
3,
2,
3,
4,
4,
2,
4,
4,
2,
3,
5,
4,
4,
4,
4,
4,
2,
2,
3,
4,
3,
2,
2,
3,
3,
5,
2,
1,
4,
2,
2,
2,
4,
2,
4,
4,
2,
4,
3,
4,
2,
3,
3,
2,
2,
2,
3,
2,
4,
2,
2,
2,
3,
2,
4,
4,
2,
4,
3,
3,
2,
2,
1,
2,
3,
2,
2,
2,
1,
3,
2,
2,
2,
3,
2,
2,
2,
2,
5,
5,
4,
4,
4,
3,
5,
3,
6,
2,
3,
3,
2,
1,
3,
2,
2,
4,
3,
7,
2,
4,
2,
4,
3,
3,
4,
3,
3,
7,
4,
2,
2,
6,
4,
6,
3,
3,
2,
4,
4,
2,
3,
2,
3,
6,
2,
6,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
2,
4,
2,
4,
2,
2,
2,
2,
3,
1,
4,
3,
4,
2,
5,
2,
2,
6,
3,
3,
4,
4,
2,
2,
2,
3,
2,
5,
2,
2,
3,
2,
1,
2,
3,
2,
1,
6,
5,
5,
2,
6,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
3,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
6,
6,
6,
2,
2,
4,
4,
4,
4,
4,
3,
2,
3,
2,
2,
3,
3,
3,
5,
3,
3,
4,
4,
4,
4,
2,
4,
3,
4,
2,
5,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
3,
2,
2,
3,
4,
4,
4,
3,
5,
4,
5,
4,
4,
4,
4,
4,
3,
5,
2,
4,
4,
3,
3,
3,
2,
4,
4,
3,
3,
3,
2,
3,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
2,
2,
5,
2,
4,
4,
2,
3,
5,
2,
2,
3,
2,
2,
2,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
4,
4,
5,
4,
3,
2,
3,
2,
2,
2,
3,
8,
4,
2,
2,
2,
2,
6,
3,
6,
7,
4,
2,
2,
4,
3,
3,
2,
3,
4,
4,
5,
3,
6,
3,
4,
3,
2,
3,
4,
5,
3,
4,
4,
2,
2,
4,
2,
4,
4,
3,
2,
4,
2,
4,
3,
2,
4,
2,
2,
6,
4,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
2,
1,
2,
4,
4,
3,
2,
2,
3,
3,
2,
2,
4,
2,
3,
6,
5,
6,
5,
5,
3,
4,
2,
4,
2,
3,
2,
2,
2,
2,
3,
4,
2,
3,
4,
2,
3,
2,
4,
1,
1,
5,
5,
4,
4,
4,
3,
1,
3,
2,
2,
4,
4,
2,
2,
5,
5,
5,
5,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
6,
2,
4,
3,
3,
2,
4,
4,
5,
4,
3,
1,
2,
6,
3,
3,
2,
3,
3,
2,
3,
3,
4,
3,
3,
4,
4,
3,
3,
3,
3,
3,
2,
3,
2,
2,
4,
4,
4,
4,
4,
3,
8,
4,
3,
3,
7,
2,
4,
1,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
2,
3,
3,
3,
3,
2,
3,
4,
4,
3,
4,
5,
3,
2,
2,
4,
4,
3,
2,
2,
3,
2,
2,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
4,
3,
7,
5,
5,
4,
10,
4,
3,
4,
3,
4,
2,
2,
3,
3,
2,
4,
2,
2,
2,
3,
2,
3,
3,
3,
3,
2,
4,
3,
5,
2,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
2,
3,
3,
3,
3,
4,
1,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
7,
4,
4,
7,
3,
3,
3,
5,
2,
3,
3,
2,
1,
2,
3,
3,
4,
3,
2,
1,
3,
3,
3,
2,
3,
3,
2,
4,
2,
3,
3,
3,
5,
3,
2,
1,
3,
2,
2,
2,
4,
3,
2,
4,
4,
4,
4,
6,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
6,
3,
3,
4,
2,
3,
2,
5,
5,
4,
3,
4,
2,
5,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
7,
4,
3,
4,
6,
5,
2,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
4,
2,
3,
2,
4,
4,
4,
4,
1,
7,
4,
2,
2,
5,
4,
4,
4,
4,
5,
3,
5,
4,
3,
4,
4,
2,
4,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
4,
4,
3,
2,
2,
2,
3,
3,
2,
4,
5,
3,
6,
2,
2,
2,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
6,
2,
3,
2,
4,
4,
4,
4,
4,
4,
5,
2,
2,
2,
2,
4,
2,
4,
5,
3,
2,
4,
3,
5,
3,
3,
3,
5,
3,
3,
3,
3,
4,
4,
3,
4,
4,
4,
3,
3,
3,
2,
3,
4,
4,
3,
4,
2,
6,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
2,
3,
4,
4,
5,
3,
3,
2,
3,
3,
3,
2,
4,
2,
2,
2,
3,
4,
4,
5,
4,
4,
5,
2,
4,
7,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
4,
3,
4,
4,
3,
3,
3,
3,
4,
4,
3,
3,
5,
2,
4,
2,
2,
2,
4,
2,
4,
2,
2,
5,
3,
5,
4,
4,
3,
3,
4,
4,
4,
4,
4,
7,
4,
3,
4,
4,
4,
4,
3,
4,
2,
4,
4,
4,
2,
3,
4,
4,
2,
2,
3,
3,
4,
2,
3,
3,
6,
3,
2,
4,
2,
4,
3,
3,
5,
2,
4,
4,
2,
2,
5,
4,
4,
5,
5,
5,
4,
3,
3,
4,
2,
4,
2,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
3,
3,
6,
4,
6,
4,
2,
3,
5,
4,
4,
4,
4,
4,
4,
2,
5,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
3,
2,
3,
4,
3,
2,
2,
2,
3,
3,
2,
2,
3,
2,
6,
5,
3,
3,
3,
3,
3,
3,
4,
3,
3,
4,
5,
4,
7,
4,
4,
4,
4,
4,
2,
3,
4,
3,
4,
2,
4,
3,
2,
2,
2,
6,
3,
4,
4,
2,
4,
4,
2,
2,
3,
3,
3,
3,
2,
5,
7,
6,
2,
3,
6,
2,
4,
4,
3,
2,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
3,
2,
2,
3,
2,
3,
3,
3,
3,
3,
5,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
5,
4,
4,
4,
3,
2,
2,
2,
3,
7,
4,
3,
5,
3,
3,
3,
4,
2,
3,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
3,
5,
2,
3,
6,
3,
4,
2,
4,
4,
3,
4,
2,
4,
4,
4,
5,
4,
4,
4,
4,
3,
5,
2,
3,
3,
3,
3,
5,
4,
2,
3,
3,
2,
3,
3,
4,
4,
5,
2,
3,
4,
3,
3,
3,
2,
5,
3,
5,
1,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
5,
4,
4,
4,
4,
5,
2,
2,
6,
4,
3,
3,
3,
2,
3,
3,
3,
2,
1,
4,
4,
4,
4,
4,
2,
2,
3,
4,
2,
3,
3,
4,
4,
4,
3,
4,
3,
4,
4,
2,
2,
2,
2,
1,
4,
4,
3,
3,
3,
3,
4,
2,
4,
4,
2,
2,
3,
6,
2,
3,
4,
4,
3,
2,
4,
2,
2,
2,
3,
3,
2,
4,
5,
6,
4,
4,
4,
5,
3,
3,
5,
3,
3,
2,
2,
2,
6,
5,
4,
7,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
3,
2,
2,
4,
2,
4,
4,
4,
6,
4,
2,
4,
4,
2,
4,
5,
3,
3,
4,
3,
5,
2,
3,
5,
4,
3,
6,
3,
4,
5,
5,
3,
4,
4,
5,
4,
4,
4,
4,
4,
6,
4,
4,
4,
3,
2,
2,
3,
4,
3,
2,
3,
2,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
5,
4,
2,
2,
2,
4,
2,
5,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
4,
4,
3,
5,
2,
2,
2,
5,
6,
4,
4,
2,
2,
3,
2,
2,
4,
5,
2,
4,
2,
5,
4,
4,
3,
4,
1,
3,
2,
4,
4,
4,
2,
3,
3,
5,
4,
3,
2,
3,
3,
3,
3,
3,
3,
4,
5,
4,
4,
4,
3,
4,
3,
4,
8,
2,
2,
2,
2,
3,
2,
2,
4,
3,
4,
4,
4,
4,
4,
2,
3,
2,
3,
2,
3,
4,
3,
4,
4,
4,
2,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
6,
3,
2,
6,
4,
2,
2,
2,
2,
3,
2,
3,
4,
2,
4,
4,
3,
6,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
2,
5,
2,
2,
5,
3,
2,
2,
2,
3,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
4,
5,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
5,
2,
3,
4,
2,
4,
4,
2,
2,
4,
9,
5,
4,
4,
3,
3,
3,
3,
2,
2,
5,
3,
2,
4,
3,
2,
4,
4,
5,
3,
3,
2,
1,
2,
3,
3,
5,
3,
3,
3,
3,
1,
2,
2,
2,
2,
1,
4,
4,
4,
4,
5,
3,
4,
4,
4,
2,
4,
2,
3,
3,
3,
2,
2,
4,
2,
4,
3,
4,
2,
2,
2,
5,
2,
2,
4,
2,
4,
4,
3,
2,
2,
2,
4,
4,
2,
3,
3,
3,
5,
3,
2,
3,
3,
2,
2,
4,
4,
2,
3,
4,
3,
3,
4,
1,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
7,
4,
3,
5,
2,
3,
2,
2,
4,
2,
2,
6,
3,
5,
3,
6,
4,
3,
3,
3,
4,
4,
4,
3,
4,
4,
4,
4,
3,
4,
4,
3,
3,
4,
4,
4,
2,
4,
2,
3,
2,
4,
4,
4,
5,
2,
3,
3,
2,
4,
2,
3,
2,
3,
3,
2,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
5,
5,
6,
3,
3,
2,
2,
2,
3,
3,
2,
2,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
3,
4,
3,
3,
3,
2,
5,
5,
3,
2,
4,
3,
5,
7,
6,
3,
3,
3,
3,
3,
4,
3,
4,
3,
5,
3,
3,
3,
4,
5,
4,
3,
4,
4,
2,
3,
3,
3,
4,
2,
3,
3,
2,
2,
2,
4,
2,
4,
2,
2,
2,
2,
7,
4,
4,
3,
3,
4,
5,
4,
3,
2,
2,
6,
4,
4,
3,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
5,
4,
2,
4,
3,
4,
4,
4,
7,
5,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
5,
3,
4,
4,
4,
2,
4,
3,
2,
4,
4,
4,
3,
2,
3,
3,
4,
2,
3,
3,
3,
5,
3,
3,
3,
2,
3,
3,
6,
4,
2,
2,
2,
3,
5,
3,
2,
2,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
3,
2,
3,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
2,
2,
3,
2,
2,
2,
2,
4,
2,
3,
2,
6,
3,
4,
3,
3,
7,
4,
4,
4,
2,
4,
4,
2,
3,
4,
3,
3,
3,
3,
3,
2,
7,
4,
4,
5,
6,
3,
5,
3,
5,
5,
6,
4,
4,
3,
3,
3,
2,
3,
3,
2,
4,
3,
3,
4,
2,
5,
4,
4,
4,
2,
3,
3,
3,
2,
4,
3,
3,
2,
5,
3,
4,
2,
2,
4,
2,
2,
3,
2,
2,
4,
5,
4,
4,
4,
4,
5,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
5,
2,
2,
4,
4,
3,
4,
2,
3,
4,
4,
2,
4,
2,
2,
2,
3,
4,
2,
3,
4,
3,
3,
3,
4,
4,
4,
2,
2,
3,
3,
4,
3,
5,
3,
4,
4,
4,
2,
3,
3,
2,
4,
2,
3,
3,
4,
2,
2,
4,
2,
4,
2,
4,
3,
2,
2,
2,
2,
5,
3,
3,
5,
2,
4,
4,
7,
4,
6,
3,
2,
4,
3,
3,
2,
2,
2,
4,
4,
2,
2,
4,
3,
3,
3,
2,
3,
3,
3,
7,
4,
4,
4,
2,
4,
3,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
2,
3,
4,
3,
5,
4,
3,
3,
2,
3,
4,
3,
3,
4,
4,
5,
6,
5,
4,
5,
4,
4,
3,
2,
6,
4,
4,
3,
5,
3,
4,
3,
5,
2,
4,
4,
3,
3,
5,
2,
5,
2,
2,
2,
2,
4,
3,
2,
3,
4,
7,
2,
4,
2,
4,
4,
6,
4,
4,
4,
4,
4,
4,
3,
5,
2,
2,
4,
3,
2,
3,
2,
3,
3,
3,
3,
3,
5,
5,
5,
5,
2,
3,
3,
3,
3,
4,
4,
1,
4,
2,
2,
2,
2,
2,
4,
4,
3,
4,
4,
3,
3,
3,
3,
3,
4,
4,
3,
4,
4,
4,
4,
6,
6,
5,
6,
4,
2,
4,
3,
2,
3,
3,
5,
4,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
2,
2,
4,
3,
3,
3,
5,
5,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
5,
3,
2,
2,
3,
3,
4,
4,
6,
5,
8,
3,
2,
4,
4,
4,
3,
4,
3,
6,
3,
3,
3,
5,
4,
2,
3,
3,
3,
2,
3,
2,
4,
2,
2,
3,
11,
5,
4,
3,
4,
3,
3,
5,
5,
3,
4,
4,
3,
3,
2,
3,
1,
4,
5,
2,
1,
2,
2,
3,
3,
2,
2,
4,
2,
2,
2,
3,
2,
1,
7,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
4,
2,
4,
2,
2,
3,
2,
3,
4,
2,
4,
4,
4,
3,
8,
4,
2,
3,
4,
2,
2,
2,
4,
2,
2,
2,
4,
5,
3,
3,
2,
3,
4,
4,
6,
5,
4,
3,
4,
4,
5,
3,
4,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
2,
3,
3,
2,
2,
3,
3,
3,
2,
4,
4,
3,
3,
2,
4,
5,
3,
4,
2,
2,
3,
2,
3,
3,
3,
3,
4,
4,
4,
2,
2,
3,
4,
3,
3,
3,
2,
3,
3,
3,
3,
4,
4,
4,
3,
4,
3,
3,
4,
3,
1,
7,
4,
7,
7,
5,
4,
3,
3,
4,
3,
4,
4,
4,
6,
6,
3,
3,
2,
2,
2,
4,
2,
3,
3,
3,
2,
3,
3,
2,
3,
5,
6,
3,
4,
4,
4,
2,
6,
2,
4,
2,
3,
3,
6,
2,
2,
2,
2,
2,
5,
6,
3,
3,
2,
2,
4,
4,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
2,
8,
4,
3,
4,
3,
4,
1,
3,
3,
2,
2,
4,
3,
2,
3,
3,
5,
3,
3,
3,
4,
3,
3,
2,
3,
2,
2,
4,
4,
4,
3,
4,
5,
2,
2,
6,
6,
3,
2,
3,
1,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
3,
1,
4,
2,
3,
3,
5,
5,
3,
3,
2,
2,
3,
2,
3,
3,
5,
5,
4,
7,
3,
3,
3,
5,
5,
4,
2,
4,
4,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
7,
4,
2,
3,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
3,
4,
4,
3,
4,
2,
3,
3,
4,
3,
4,
4,
2,
4,
2,
3,
3,
3,
3,
1,
2,
2,
4,
5,
3,
3,
2,
6,
2,
2,
10,
5,
4,
4,
3,
4,
4,
2,
5,
4,
5,
4,
2,
2,
4,
2,
3,
2,
4,
4,
4,
4,
3,
4,
6,
3,
3,
4,
4,
4,
3,
5,
4,
4,
3,
4,
2,
2,
2,
4,
5,
2,
2,
1,
2,
2,
4,
3,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
2,
3,
5,
4,
2,
2,
2,
4,
4,
2,
2,
4,
3,
3,
3,
3,
2,
4,
2,
1,
1,
3,
4,
4,
3,
2,
2,
2,
3,
7,
4,
4,
3,
4,
2,
3,
4,
2,
2,
4,
2,
4,
4,
3,
3,
3,
3,
3,
4,
4,
3,
4,
3,
3,
3,
2,
2,
5,
3,
2,
3,
4,
2,
4,
3,
2,
4,
2,
3,
3,
2,
6,
1,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
4,
2,
2,
3,
2,
4,
4,
3,
5,
3,
3,
3,
3,
6,
4,
3,
4,
3,
3,
7,
2,
4,
4,
3,
2,
2,
2,
2,
2,
4,
5,
5,
5,
4,
4,
3,
5,
3,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
3,
3,
4,
4,
3,
3,
2,
4,
6,
5,
9,
5,
4,
4,
3,
4,
4,
3,
4,
5,
3,
2,
6,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
2,
5,
7,
6,
2,
3,
3,
5,
3,
4,
3,
4,
3,
5,
2,
2,
2,
2,
1,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
4,
5,
4,
2,
2,
2,
2,
2,
2,
5,
5,
6,
4,
2,
2,
3,
4,
2,
1,
2,
4,
2,
3,
1,
2,
2,
4,
5,
3,
3,
2,
2,
5,
6,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
3,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
2,
4,
4,
2,
1,
3,
3,
4,
4,
5,
2,
2,
4,
4,
2,
4,
2,
2,
2,
3,
3,
4,
5,
2,
2,
4,
2,
4,
3,
3,
4,
4,
5,
5,
3,
4,
4,
2,
2,
4,
3,
4,
3,
4,
3,
3,
4,
4,
2,
2,
3,
4,
3,
4,
2,
2,
2,
4,
4,
5,
5,
2,
4,
4,
2,
4,
2,
2,
3,
5,
4,
4,
3,
4,
3,
5,
2,
2,
2,
4,
2,
3,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
2,
3,
3,
2,
2,
3,
2,
2,
3,
4,
5,
2,
4,
2,
2,
4,
5,
2,
4,
5,
3,
4,
2,
2,
4,
3,
3,
4,
3,
3,
2,
2,
3,
4,
4,
4,
4,
3,
3,
2,
4,
4,
4,
2,
3,
3,
4,
4,
4,
2,
2,
2,
4,
2,
4,
4,
4,
2,
4,
3,
3,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
6,
7,
6,
3,
2,
2,
4,
2,
2,
3,
3,
2,
2,
3,
3,
2,
2,
2,
5,
3,
4,
4,
4,
4,
4,
3,
2,
4,
2,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
3,
2,
5,
4,
2,
4,
6,
3,
2,
2,
2,
6,
6,
4,
5,
4,
2,
1,
4,
2,
2,
3,
2,
2,
7,
3,
4,
2,
4,
4,
2,
2,
2,
2,
2,
3,
3,
5,
5,
5,
4,
4,
4,
2,
6,
3,
2,
4,
2,
2,
2,
2,
4,
5,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
2,
2,
3,
3,
1,
4,
2,
3,
3,
4,
4,
4,
3,
3,
2,
1,
2,
4,
2,
6,
4,
3,
4,
2,
2,
1,
4,
3,
2,
4,
2,
4,
4,
2,
4,
4,
4,
5,
2,
5,
4,
2,
3,
3,
3,
2,
2,
3,
3,
2,
2,
4,
2,
2,
3,
4,
4,
4,
4,
4,
5,
3,
3,
3,
5,
5,
3,
4,
3,
5,
5,
4,
4,
2,
5,
5,
2,
3,
4,
3,
4,
5,
3,
2,
2,
5,
5,
5,
4,
2,
4,
4,
3,
6,
6,
2,
5,
3,
4,
4,
6,
4,
2,
2,
4,
2,
4,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
4,
3,
3,
2,
2,
3,
4,
4,
2,
3,
2,
2,
4,
2,
2,
4,
3,
5,
2,
3,
2,
3,
3,
2,
2,
5,
4,
3,
4,
5,
4,
5,
3,
2,
2,
2,
4,
3,
3,
4,
4,
3,
2,
3,
4,
2,
2,
3,
3,
4,
4,
3,
4,
3,
4,
5,
3,
3,
3,
4,
3,
2,
2,
4,
3,
6,
2,
2,
3,
3,
2,
3,
3,
4,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
3,
3,
5,
4,
4,
2,
4,
4,
5,
2,
7,
4,
2,
3,
3,
4,
4,
3,
4,
4,
5,
2,
4,
2,
5,
2,
4,
2,
3,
3,
4,
5,
2,
2,
3,
4,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
3,
4,
2,
3,
4,
5,
4,
3,
2,
2,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
4,
4,
2,
4,
3,
2,
3,
4,
4,
3,
3,
5,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
2,
1,
3,
6,
4,
4,
4,
4,
5,
2,
4,
3,
4,
2,
2,
3,
3,
3,
2,
3,
2,
3,
2,
3,
3,
3,
3,
6,
4,
7,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
4,
3,
3,
3,
2,
5,
5,
2,
2,
4,
2,
3,
2,
2,
3,
3,
3,
2,
3,
2,
4,
2,
2,
3,
4,
2,
4,
4,
4,
4,
4,
2,
2,
3,
5,
2,
5,
4,
3,
2,
3,
2,
4,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
4,
4,
2,
4,
4,
4,
4,
5,
4,
7,
3,
2,
2,
5,
4,
5,
4,
4,
2,
3,
3,
2,
5,
2,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
2,
3,
3,
3,
3,
2,
3,
2,
2,
3,
1,
1,
2,
4,
3,
3,
2,
5,
3,
3,
3,
3,
3,
5,
2,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
3,
4,
3,
2,
5,
2,
6,
2,
4,
3,
2,
1,
2,
2,
2,
2,
3,
3,
3,
3,
4,
3,
2,
3,
3,
4,
4,
4,
5,
3,
3,
5,
4,
2,
3,
4,
8,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
5,
2,
2,
2,
2,
3,
2,
2,
2,
3,
4,
5,
3,
4,
4,
3,
2,
4,
4,
3,
2,
2,
3,
3,
3,
2,
3,
5,
2,
2,
2,
2,
2,
2,
6,
4,
3,
4,
2,
3,
3,
3,
4,
3,
4,
4,
1,
1,
4,
4,
4,
3,
2,
4,
3,
5,
4,
4,
2,
2,
4,
2,
2,
4,
5,
1,
4,
4,
4,
4,
3,
3,
2,
2,
4,
5,
4,
7,
4,
4,
3,
6,
5,
3,
5,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
7,
2,
4,
2,
3,
4,
3,
4,
2,
2,
3,
4,
3,
2,
4,
2,
4,
4,
4,
4,
3,
3,
3,
3,
2,
4,
4,
4,
4,
5,
3,
5,
3,
4,
4,
4,
4,
4,
2,
2,
4,
2,
2,
4,
3,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
3,
4,
4,
2,
3,
4,
4,
5,
5,
4,
2,
4,
2,
4,
4,
2,
4,
4,
3,
9,
5,
2,
5,
4,
4,
3,
2,
2,
2,
4,
5,
5,
3,
1,
4,
2,
2,
3,
4,
4,
4,
4,
2,
7,
5,
7,
6,
2,
2,
2,
2,
3,
3,
5,
4,
4,
3,
3,
3,
2,
2,
1,
3,
4,
3,
4,
4,
4,
6,
4,
5,
4,
2,
4,
3,
2,
4,
2,
3,
3,
3,
2,
2,
2,
2,
6,
4,
4,
7,
3,
4,
6,
3,
4,
5,
5,
3,
3,
2,
5,
2,
2,
2,
2,
3,
4,
4,
4,
5,
3,
3,
2,
3,
3,
2,
3,
3,
2,
3,
4,
2,
2,
2,
2,
3,
4,
2,
3,
2,
4,
2,
4,
2,
4,
3,
4,
3,
4,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
6,
5,
5,
5,
5,
5,
5,
5,
3,
4,
4,
3,
5,
5,
2,
4,
3,
3,
3,
3,
3,
4,
3,
3,
3,
5,
1,
3,
1,
2,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
1,
2,
2,
2,
2,
2,
3,
4,
6,
6,
3,
4,
2,
2,
2,
2,
2,
3,
2,
4,
3,
4,
5,
4,
4,
3,
4,
4,
4,
2,
5,
3,
3,
3,
4,
3,
5,
3,
3,
2,
2,
4,
4,
4,
3,
4,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
6,
7,
8,
5,
4,
4,
4,
7,
4,
6,
3,
4,
4,
4,
4,
2,
3,
3,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
5,
4,
3,
4,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
2,
4,
4,
3,
3,
3,
3,
2,
4,
2,
2,
3,
3,
3,
4,
6,
4,
2,
4,
2,
2,
3,
4,
3,
4,
2,
2,
3,
5,
1,
2,
4,
2,
4,
5,
4,
2,
2,
2,
2,
2,
2,
3,
4,
2,
4,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
5,
5,
4,
3,
4,
4,
3,
6,
3,
3,
5,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
5,
5,
7,
5,
3,
2,
3,
2,
3,
4,
4,
2,
3,
3,
2,
3,
4,
4,
3,
2,
3,
4,
3,
4,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
4,
3,
2,
2,
4,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
6,
4,
4,
2,
3,
3,
2,
3,
2,
4,
3,
2,
3,
2,
3,
3,
3,
2,
4,
3,
3,
6,
6,
4,
4,
2,
4,
5,
4,
2,
2,
3,
3,
3,
4,
4,
3,
3,
3,
5,
7,
7,
2,
5,
4,
2,
2,
4,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
3,
2,
1,
4,
3,
3,
2,
3,
2,
2,
2,
3,
1,
3,
1,
5,
3,
3,
2,
2,
3,
4,
3,
3,
6,
9,
4,
4,
4,
3,
4,
4,
2,
3,
3,
3,
3,
6,
7,
4,
4,
5,
4,
4,
5,
2,
3,
3,
4,
4,
2,
5,
4,
3,
3,
2,
2,
4,
4,
3,
3,
2,
4,
3,
4,
3,
1,
5,
3,
5,
2,
2,
4,
4,
4,
5,
4,
3,
4,
4,
3,
2,
2,
2,
3,
4,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
2,
5,
5,
4,
4,
2,
4,
4,
4,
4,
2,
5,
4,
3,
4,
2,
4,
4,
2,
2,
4,
2,
4,
4,
4,
4,
4,
2,
4,
3,
4,
3,
5,
3,
6,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
5,
5,
7,
3,
4,
3,
3,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
3,
2,
4,
2,
3,
4,
5,
4,
4,
4,
3,
2,
2,
2,
2,
7,
3,
2,
3,
4,
1,
1,
6,
4,
4,
4,
5,
3,
4,
1,
1,
2,
1,
1,
1,
1,
1,
2,
1,
1,
1,
1,
1,
2,
4,
2,
4,
3,
2,
3,
3,
2,
2,
3,
4,
3,
3,
5,
2,
4,
7,
3,
5,
4,
4,
4,
4,
4,
4,
2,
2,
1,
2,
2,
4,
4,
3,
3,
2,
3,
4,
3,
4,
4,
3,
3,
2,
3,
2,
2,
3,
2,
2,
3,
3,
2,
3,
4,
3,
6,
3,
3,
2,
3,
4,
3,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
4,
5,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
2,
3,
4,
4,
3,
7,
3,
3,
3,
2,
3,
4,
3,
2,
4,
2,
4,
2,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
4,
3,
7,
7,
7,
4,
2,
3,
3,
2,
4,
7,
5,
5,
4,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
5,
6,
2,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
2,
3,
2,
3,
4,
7,
4,
3,
4,
4,
6,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
3,
3,
2,
2,
2,
4,
2,
3,
2,
2,
4,
2,
2,
3,
5,
7,
3,
5,
5,
4,
4,
2,
3,
2,
5,
5,
3,
3,
2,
4,
2,
3,
2,
3,
2,
2,
2,
4,
4,
4,
7,
4,
4,
3,
1,
4,
2,
2,
4,
2,
2,
4,
2,
5,
2,
3,
2,
4,
4,
4,
3,
4,
3,
3,
2,
3,
3,
3,
3,
5,
3,
3,
3,
3,
2,
2,
3,
2,
6,
7,
4,
4,
4,
2,
4,
2,
4,
4,
4,
2,
3,
2,
2,
4,
3,
2,
4,
2,
3,
4,
2,
3,
3,
3,
4,
2,
2,
2,
2,
3,
3,
3,
5,
3,
5,
3,
3,
4,
3,
2,
4,
2,
2,
3,
3,
2,
3,
3,
3,
3,
5,
3,
5,
4,
4,
4,
2,
3,
3,
2,
2,
3,
2,
1,
5,
4,
3,
2,
3,
4,
2,
4,
3,
4,
4,
4,
3,
4,
3,
3,
1,
2,
3,
3,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
5,
2,
7,
5,
2,
4,
4,
4,
4,
2,
2,
4,
3,
4,
3,
4,
2,
2,
4,
5,
3,
4,
4,
2,
3,
2,
2,
4,
2,
4,
2,
2,
3,
3,
3,
2,
5,
3,
2,
3,
3,
3,
3,
4,
3,
3,
4,
3,
4,
3,
5,
4,
2,
4,
6,
4,
4,
2,
2,
4,
2,
2,
5,
2,
2,
3,
3,
2,
2,
3,
4,
4,
4,
2,
3,
4,
4,
2,
4,
4,
3,
3,
2,
4,
3,
2,
2,
4,
5,
4,
2,
2,
2,
2,
4,
7,
5,
3,
2,
3,
3,
4,
5,
3,
2,
2,
1,
2,
2,
2,
1,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
5,
5,
4,
3,
4,
4,
4,
4,
7,
4,
5,
3,
4,
4,
2,
4,
4,
2,
3,
2,
2,
2,
2,
2,
3,
1,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
3,
4,
3,
4,
5,
3,
4,
4,
3,
2,
3,
5,
5,
3,
5,
5,
4,
4,
4,
4,
3,
3,
2,
3,
3,
7,
4,
4,
4,
2,
2,
3,
4,
4,
3,
3,
4,
4,
4,
4,
2,
4,
3,
4,
2,
2,
1,
2,
2,
6,
5,
2,
5,
3,
3,
2,
4,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
5,
4,
3,
4,
4,
4,
6,
2,
1,
2,
2,
2,
5,
4,
3,
3,
2,
2,
4,
3,
4,
6,
4,
2,
4,
4,
4,
4,
3,
2,
4,
5,
4,
4,
6,
4,
4,
5,
2,
4,
3,
4,
4,
3,
2,
2,
4,
2,
2,
3,
3,
3,
4,
4,
4,
4,
3,
3,
3,
4,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
3,
3,
3,
5,
4,
2,
4,
4,
2,
3,
5,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
4,
3,
3,
5,
4,
4,
2,
2,
2,
2,
3,
4,
4,
4,
2,
4,
2,
2,
4,
4,
4,
4,
2,
4,
2,
3,
3,
2,
3,
3,
4,
4,
3,
3,
4,
5,
3,
2,
2,
4,
4,
5,
4,
4,
2,
2,
3,
4,
4,
4,
4,
2,
2,
4,
4,
4,
2,
3,
4,
3,
2,
3,
4,
4,
4,
3,
4,
4,
6,
3,
4,
4,
4,
2,
2,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
3,
3,
4,
4,
4,
2,
4,
2,
5,
4,
6,
5,
8,
2,
2,
2,
2,
4,
3,
7,
2,
4,
3,
4,
4,
4,
3,
2,
3,
2,
2,
3,
5,
5,
5,
2,
6,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
3,
4,
3,
4,
4,
4,
2,
2,
4,
4,
2,
4,
3,
6,
5,
6,
4,
2,
3,
3,
3,
3,
4,
2,
4,
4,
5,
4,
3,
4,
3,
2,
3,
3,
3,
3,
2,
3,
3,
2,
3,
4,
5,
5,
5,
2,
2,
2,
2,
1,
3,
4,
2,
2,
4,
3,
3,
4,
2,
2,
3,
2,
2,
4,
2,
6,
3,
3,
2,
2,
4,
1,
4,
4,
2,
2,
4,
3,
4,
2,
2,
3,
2,
3,
5,
3,
3,
4,
3,
4,
3,
3,
4,
3,
2,
4,
3,
3,
2,
3,
3,
4,
2,
3,
2,
5,
4,
2,
5,
3,
2,
2,
2,
3,
6,
3,
3,
3,
7,
4,
4,
3,
3,
4,
4,
3,
6,
4,
3,
2,
2,
4,
2,
2,
2,
2,
5,
4,
1,
6,
2,
3,
3,
4,
3,
3,
4,
4,
2,
2,
4,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
4,
4,
4,
3,
3,
3,
7,
3,
5,
3,
4,
3,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
5,
3,
4,
2,
4,
2,
4,
4,
3,
2,
3,
3,
5,
3,
2,
2,
2,
2,
2,
4,
3,
3,
3,
2,
2,
2,
6,
8,
2,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
4,
4,
3,
4,
4,
4,
4,
4,
3,
2,
4,
2,
4,
4,
3,
3,
3,
2,
4,
2,
4,
4,
3,
2,
5,
3,
3,
2,
2,
2,
3,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
3,
4,
5,
4,
4,
4,
2,
2,
2,
4,
2,
1,
5,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
1,
2,
5,
2,
2,
6,
3,
3,
3,
6,
6,
2,
4,
2,
3,
3,
4,
2,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
2,
5,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
3,
4,
2,
6,
7,
4,
4,
4,
4,
2,
4,
2,
2,
5,
2,
5,
2,
4,
5,
4,
7,
4,
3,
4,
4,
4,
4,
3,
4,
4,
3,
4,
4,
4,
2,
4,
2,
5,
4,
3,
3,
2,
2,
2,
3,
3,
1,
3,
2,
2,
4,
3,
4,
3,
3,
4,
2,
3,
2,
2,
2,
3,
3,
2,
3,
5,
2,
4,
4,
4,
3,
3,
3,
3,
4,
1,
2,
3,
4,
4,
4,
5,
5,
5,
4,
3,
5,
5,
4,
2,
2,
4,
4,
4,
3,
4,
3,
4,
5,
3,
3,
3,
3,
4,
3,
4,
2,
2,
3,
2,
3,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
3,
4,
4,
4,
3,
2,
4,
2,
6,
3,
6,
3,
2,
5,
5,
5,
3,
3,
6,
6,
2,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
4,
4,
4,
2,
4,
4,
2,
4,
5,
4,
4,
2,
2,
4,
4,
4,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
2,
2,
2,
6,
2,
2,
3,
3,
3,
3,
4,
2,
3,
2,
2,
4,
3,
3,
2,
2,
2,
4,
6,
2,
2,
4,
3,
3,
2,
5,
3,
4,
4,
4,
2,
4,
3,
4,
4,
4,
3,
3,
4,
4,
3,
4,
4,
2,
2,
4,
2,
4,
4,
4,
6,
5,
4,
5,
4,
4,
4,
3,
3,
4,
2,
2,
2,
3,
2,
2,
3,
4,
4,
3,
3,
4,
3,
3,
2,
4,
3,
4,
2,
3,
3,
3,
3,
3,
3,
6,
3,
3,
5,
3,
3,
3,
2,
4,
6,
2,
2,
2,
2,
4,
4,
2,
2,
2,
3,
2,
3,
6,
4,
5,
5,
3,
2,
4,
3,
2,
2,
2,
3,
3,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
7,
2,
6,
5,
4,
3,
2,
2,
3,
3,
3,
4,
4,
5,
3,
2,
4,
4,
3,
3,
3,
2,
4,
3,
5,
4,
2,
2,
4,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
4,
3,
3,
4,
3,
2,
3,
2,
2,
2,
3,
3,
4,
1,
2,
3,
3,
4,
4,
3,
6,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
8,
3,
3,
2,
6,
3,
3,
2,
4,
2,
2,
2,
3,
2,
4,
6,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
3,
2,
4,
2,
4,
6,
3,
2,
3,
4,
4,
2,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
4,
3,
2,
2,
2,
3,
2,
4,
4,
4,
4,
5,
4,
3,
4,
4,
4,
4,
3,
4,
5,
4,
4,
6,
4,
4,
2,
4,
3,
4,
4,
4,
4,
2,
4,
2,
4,
3,
3,
3,
2,
3,
4,
3,
2,
5,
3,
6,
4,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
6,
3,
7,
5,
4,
4,
2,
3,
4,
4,
4,
4,
2,
3,
3,
2,
4,
2,
2,
4,
3,
3,
2,
1,
3,
3,
3,
1,
3,
3,
3,
3,
4,
4,
3,
4,
3,
2,
2,
4,
3,
6,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
2,
2,
4,
3,
2,
3,
3,
5,
5,
4,
2,
4,
4,
4,
4,
2,
3,
2,
4,
3,
2,
3,
5,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
2,
1,
2,
3,
3,
4,
4,
4,
3,
2,
6,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
6,
3,
3,
4,
4,
2,
2,
3,
8,
5,
2,
3,
3,
6,
6,
4,
3,
3,
3,
2,
3,
3,
5,
4,
5,
5,
3,
4,
3,
3,
4,
2,
2,
4,
3,
4,
4,
4,
5,
3,
3,
5,
5,
4,
4,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
6,
4,
3,
2,
3,
3,
5,
4,
4,
4,
3,
3,
3,
3,
6,
4,
4,
5,
4,
2,
2,
2,
3,
4,
3,
4,
2,
4,
2,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
4,
2,
5,
2,
3,
4,
4,
4,
3,
3,
2,
4,
4,
7,
2,
3,
4,
4,
3,
2,
4,
2,
2,
4,
2,
5,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
5,
4,
1,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
2,
1,
4,
4,
5,
4,
2,
4,
2,
4,
3,
2,
4,
3,
4,
4,
4,
3,
2,
2,
3,
1,
3,
3,
3,
3,
3,
3,
1,
2,
3,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
3,
4,
6,
3,
4,
2,
4,
3,
4,
4,
5,
5,
5,
2,
5,
3,
3,
9,
5,
5,
5,
3,
2,
3,
3,
3,
3,
4,
4,
2,
2,
1,
3,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
6,
4,
4,
2,
4,
5,
4,
2,
3,
3,
2,
2,
1,
2,
3,
3,
3,
4,
2,
4,
2,
4,
4,
4,
3,
3,
5,
4,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
5,
2,
2,
2,
2,
3,
2,
4,
4,
3,
2,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
3,
2,
3,
3,
4,
3,
4,
2,
2,
4,
3,
3,
2,
4,
4,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
3,
4,
5,
4,
3,
2,
2,
4,
2,
2,
2,
4,
3,
4,
1,
2,
2,
2,
2,
4,
4,
4,
2,
4,
6,
4,
6,
4,
3,
3,
3,
2,
3,
4,
2,
3,
2,
2,
4,
4,
4,
3,
4,
3,
4,
2,
4,
3,
5,
5,
4,
2,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
5,
2,
2,
4,
4,
4,
4,
2,
2,
4,
2,
3,
3,
4,
3,
2,
3,
2,
3,
2,
3,
3,
4,
3,
2,
4,
4,
4,
2,
4,
2,
4,
4,
3,
5,
5,
3,
4,
2,
2,
2,
2,
2,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
3,
3,
4,
4,
5,
2,
1,
3,
3,
4,
2,
3,
2,
2,
3,
3,
2,
3,
2,
3,
2,
4,
4,
8,
2,
4,
2,
4,
2,
4,
4,
4,
2,
3,
3,
4,
5,
5,
3,
3,
3,
4,
2,
3,
3,
3,
5,
4,
3,
2,
1,
4,
4,
3,
2,
2,
2,
4,
3,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
3,
3,
4,
5,
5,
4,
4,
4,
4,
3,
3,
2,
2,
2,
4,
4,
4,
2,
2,
3,
2,
3,
3,
4,
3,
4,
4,
4,
3,
4,
2,
2,
3,
2,
3,
3,
1,
2,
3,
2,
4,
4,
4,
4,
2,
3,
2,
4,
4,
2,
4,
3,
5,
5,
2,
3,
3,
3,
4,
2,
3,
3,
4,
10,
4,
4,
7,
4,
3,
4,
6,
2,
3,
3,
2,
4,
5,
1,
4,
2,
3,
3,
4,
4,
2,
4,
3,
2,
2,
2,
3,
2,
2,
4,
4,
5,
2,
4,
3,
3,
3,
2,
3,
4,
3,
5,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
5,
11,
3,
3,
5,
2,
3,
2,
2,
3,
3,
3,
4,
2,
3,
2,
2,
2,
5,
3,
4,
3,
3,
3,
2,
3,
3,
3,
3,
3,
5,
4,
3,
5,
4,
2,
3,
2,
2,
5,
5,
2,
4,
3,
4,
4,
2,
4,
5,
4,
5,
5,
5,
4,
5,
5,
5,
3,
3,
4,
2,
4,
4,
2,
2,
2,
4,
10,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
6,
6,
5,
4,
4,
4,
4,
3,
4,
3,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
4,
4,
3,
5,
4,
4,
4,
4,
2,
2,
4,
2,
2,
3,
2,
3,
3,
4,
4,
2,
2,
4,
5,
6,
4,
4,
4,
4,
4,
4,
2,
2,
4,
1,
3,
6,
4,
2,
7,
7,
2,
2,
4,
4,
5,
4,
3,
2,
2,
3,
3,
3,
4,
2,
4,
4,
4,
3,
4,
3,
1,
3,
4,
2,
2,
2,
2,
3,
4,
5,
4,
3,
2,
2,
2,
4,
3,
3,
3,
3,
5,
2,
2,
2,
2,
2,
3,
3,
1,
2,
2,
2,
0,
2,
4,
4,
2,
6,
4,
4,
2,
2,
2,
2,
5,
2,
4,
4,
6,
4,
2,
2,
4,
2,
2,
4,
4,
4,
4,
3,
4,
4,
2,
3,
2,
3,
2,
2,
3,
3,
5,
2,
2,
4,
2,
4,
3,
3,
2,
3,
4,
3,
4,
2,
4,
4,
2,
2,
2,
3,
3,
3,
3,
4,
4,
4,
7,
3,
4,
3,
4,
3,
6,
2,
2,
4,
1,
2,
2,
4,
3,
2,
2,
3,
3,
3,
2,
3,
4,
4,
2,
4,
4,
2,
4,
3,
3,
4,
3,
5,
3,
2,
3,
4,
4,
3,
4,
4,
3,
3,
3,
5,
3,
3,
3,
3,
4,
2,
4,
3,
4,
4,
4,
4,
4,
5,
4,
3,
5,
4,
8,
4,
3,
2,
3,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
2,
3,
2,
4,
5,
4,
4,
2,
3,
3,
5,
2,
7,
2,
4,
3,
4,
4,
2,
4,
4,
4,
2,
4,
4,
4,
2,
4,
3,
4,
4,
4,
4,
2,
4,
4,
2,
4,
3,
4,
2,
2,
2,
3,
4,
2,
4,
6,
2,
3,
3,
3,
3,
5,
4,
2,
4,
4,
3,
4,
4,
2,
2,
4,
4,
2,
3,
2,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
5,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
4,
4,
4,
2,
2,
2,
3,
2,
3,
3,
2,
2,
7,
4,
3,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
3,
3,
3,
2,
2,
2,
1,
2,
2,
3,
2,
3,
2,
4,
3,
4,
3,
2,
2,
3,
2,
6,
6,
5,
4,
3,
3,
3,
3,
3,
3,
5,
3,
5,
3,
5,
5,
2,
4,
3,
3,
2,
5,
4,
5,
6,
4,
4,
4,
3,
4,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
3,
4,
2,
4,
5,
5,
4,
4,
4,
4,
4,
5,
2,
7,
2,
4,
3,
3,
4,
4,
3,
6,
3,
6,
6,
4,
4,
2,
1,
4,
2,
2,
2,
2,
2,
2,
3,
3,
5,
3,
3,
4,
4,
4,
2,
2,
2,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
3,
5,
3,
3,
4,
3,
3,
3,
2,
4,
3,
5,
4,
3,
4,
2,
2,
4,
4,
3,
3,
3,
2,
2,
2,
4,
4,
6,
5,
5,
5,
4,
4,
4,
4,
4,
1,
4,
4,
5,
4,
2,
3,
2,
7,
6,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
4,
5,
4,
2,
5,
2,
4,
3,
3,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
3,
3,
4,
4,
3,
3,
1,
3,
3,
2,
1,
2,
6,
4,
4,
4,
4,
2,
4,
3,
4,
2,
4,
4,
2,
4,
6,
7,
4,
4,
4,
7,
8,
4,
4,
4,
3,
2,
4,
1,
3,
3,
2,
2,
2,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
1,
5,
3,
4,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
2,
4,
5,
3,
2,
4,
4,
4,
2,
2,
3,
5,
3,
3,
4,
2,
4,
3,
2,
2,
3,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
2,
2,
5,
4,
3,
3,
5,
3,
5,
4,
5,
2,
5,
4,
2,
2,
3,
4,
4,
3,
4,
6,
2,
3,
7,
2,
3,
4,
4,
3,
2,
4,
2,
4,
4,
4,
3,
4,
4,
4,
2,
3,
3,
3,
3,
3,
2,
2,
4,
3,
3,
2,
3,
4,
3,
4,
4,
3,
2,
3,
4,
3,
3,
2,
4,
4,
2,
3,
2,
2,
4,
3,
2,
2,
2,
4,
2,
3,
4,
6,
4,
6,
4,
4,
2,
3,
4,
2,
2,
4,
3,
2,
2,
2,
2,
5,
3,
2,
2,
4,
2,
4,
2,
5,
2,
4,
4,
4,
2,
2,
3,
2,
2,
3,
3,
1,
2,
3,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
4,
5,
4,
4,
4,
4,
2,
5,
4,
4,
4,
2,
4,
2,
2,
2,
3,
2,
3,
3,
2,
4,
4,
4,
4,
4,
1,
5,
4,
4,
3,
4,
4,
2,
2,
6,
2,
7,
3,
3,
3,
3,
2,
4,
3,
2,
2,
2,
3,
4,
3,
2,
3,
2,
3,
3,
3,
3,
4,
5,
3,
6,
3,
5,
5,
2,
2,
4,
3,
2,
2,
1,
4,
2,
3,
5,
4,
5,
4,
2,
3,
8,
8,
2,
4,
6,
6,
3,
6,
5,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
5,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
1,
2,
2,
2,
2,
2,
3,
3,
5,
2,
2,
4,
4,
2,
2,
4,
2,
1,
2,
3,
3,
3,
4,
4,
3,
3,
2,
2,
1,
3,
1,
1,
1,
3,
1,
1,
1,
4,
1,
4,
2,
4,
4,
4,
4,
3,
3,
2,
4,
4,
4,
4,
4,
2,
4,
2,
3,
6,
4,
2,
6,
2,
2,
6,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
4,
2,
1,
2,
2,
3,
4,
4,
1,
3,
3,
4,
5,
2,
3,
2,
2,
3,
2,
3,
3,
3,
3,
3,
4,
2,
3,
2,
3,
3,
4,
4,
2,
3,
2,
2,
3,
4,
4,
3,
4,
4,
6,
2,
2,
4,
3,
4,
4,
4,
3,
4,
5,
3,
2,
5,
4,
2,
3,
5,
3,
3,
4,
2,
2,
4,
2,
4,
4,
4,
3,
1,
2,
2,
3,
2,
2,
2,
2,
4,
4,
3,
4,
3,
2,
4,
4,
4,
5,
4,
4,
4,
4,
2,
4,
2,
2,
3,
4,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
2,
5,
3,
5,
4,
4,
4,
3,
3,
4,
4,
4,
3,
4,
4,
7,
2,
3,
5,
5,
4,
3,
4,
4,
2,
2,
5,
2,
3,
3,
3,
5,
3,
4,
2,
4,
1,
4,
4,
2,
2,
2,
3,
2,
4,
4,
2,
4,
2,
2,
5,
4,
3,
5,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
1,
4,
2,
2,
3,
2,
4,
4,
2,
4,
3,
4,
4,
3,
3,
3,
7,
3,
3,
3,
3,
2,
3,
2,
4,
2,
2,
2,
2,
3,
4,
2,
3,
4,
2,
4,
2,
4,
4,
2,
2,
3,
2,
1,
2,
2,
2,
4,
4,
5,
2,
4,
2,
2,
3,
4,
4,
4,
4,
4,
6,
3,
4,
4,
4,
4,
3,
3,
7,
3,
3,
8,
2,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
4,
2,
7,
3,
2,
4,
2,
5,
3,
3,
3,
2,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
7,
2,
3,
2,
5,
4,
2,
3,
4,
4,
3,
2,
2,
2,
3,
4,
4,
4,
4,
6,
6,
5,
3,
4,
5,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
2,
5,
2,
4,
4,
4,
3,
2,
3,
3,
2,
3,
1,
2,
3,
4,
3,
3,
3,
3,
4,
3,
4,
2,
3,
4,
2,
3,
3,
4,
2,
3,
2,
2,
3,
3,
3,
4,
4,
3,
3,
2,
3,
2,
4,
6,
6,
3,
3,
3,
5,
4,
3,
4,
5,
5,
4,
2,
2,
4,
4,
3,
6,
4,
4,
4,
4,
4,
2,
3,
7,
2,
3,
2,
2,
4,
5,
5,
3,
2,
2,
2,
3,
3,
4,
2,
2,
3,
3,
3,
3,
2,
5,
3,
5,
4,
2,
2,
3,
4,
2,
3,
4,
4,
2,
4,
3,
2,
6,
2,
4,
3,
4,
2,
2,
2,
3,
2,
3,
4,
4,
2,
4,
4,
2,
4,
4,
4,
3,
3,
1,
3,
2,
2,
2,
2,
3,
4,
3,
4,
4,
2,
3,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
4,
2,
4,
2,
2,
2,
5,
7,
5,
2,
4,
4,
4,
4,
4,
3,
4,
4,
3,
6,
5,
3,
2,
2,
4,
4,
4,
4,
2,
3,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
7,
2,
3,
4,
4,
3,
4,
3,
4,
2,
4,
2,
2,
2,
2,
2,
5,
4,
4,
4,
4,
3,
2,
2,
2,
5,
2,
4,
3,
3,
4,
3,
3,
3,
5,
4,
4,
4,
4,
4,
5,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
2,
4,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
3,
1,
3,
2,
4,
2,
5,
4,
2,
6,
2,
2,
2,
2,
2,
3,
3,
6,
4,
4,
4,
2,
6,
7,
4,
4,
3,
4,
4,
4,
4,
2,
3,
4,
4,
3,
4,
2,
3,
2,
2,
3,
3,
4,
3,
4,
4,
4,
4,
2,
2,
3,
4,
2,
5,
5,
5,
3,
4,
3,
2,
5,
5,
2,
2,
4,
4,
4,
2,
3,
2,
3,
2,
2,
4,
4,
3,
7,
4,
4,
4,
3,
4,
3,
2,
2,
2,
3,
3,
3,
3,
3,
4,
4,
3,
4,
4,
4,
2,
4,
2,
2,
2,
4,
5,
4,
4,
3,
4,
4,
4,
3,
4,
9,
4,
4,
4,
4,
2,
2,
4,
4,
4,
2,
3,
4,
4,
4,
4,
4,
4,
4,
1,
4,
2,
3,
3,
4,
2,
2,
3,
4,
4,
2,
4,
2,
4,
4,
4,
2,
3,
3,
3,
3,
2,
2,
2,
3,
2,
3,
2,
2,
3,
3,
5,
3,
3,
4,
3,
4,
3,
3,
2,
3,
3,
3,
4,
4,
3,
3,
2,
2,
2,
3,
2,
2,
1,
2,
3,
6,
6,
3,
3,
3,
3,
3,
2,
5,
5,
2,
2,
3,
3,
3,
2,
3,
3,
3,
2,
4,
3,
4,
5,
5,
2,
4,
3,
2,
2,
2,
3,
3,
3,
2,
5,
2,
2,
4,
4,
3,
3,
2,
4,
5,
4,
5,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
4,
4,
3,
3,
3,
4,
4,
2,
3,
5,
1,
1,
1,
1,
1,
5,
3,
3,
3,
2,
3,
1,
3,
4,
6,
3,
4,
3,
3,
8,
4,
4,
4,
7,
6,
4,
5,
3,
2,
5,
3,
4,
5,
2,
3,
3,
2,
2,
2,
1,
4,
2,
2,
5,
5,
5,
4,
3,
3,
3,
4,
4,
2,
3,
2,
2,
4,
3,
4,
4,
2,
4,
4,
3,
3,
4,
3,
3,
4,
3,
4,
1,
4,
4,
3,
5,
2,
3,
2,
4,
2,
5,
5,
3,
4,
5,
5,
3,
4,
3,
2,
4,
2,
6,
2,
4,
4,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
6,
3,
4,
2,
4,
4,
2,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
5,
5,
5,
5,
2,
2,
2,
2,
3,
3,
2,
4,
3,
3,
3,
2,
4,
4,
4,
5,
4,
3,
2,
2,
4,
2,
2,
4,
4,
3,
3,
3,
4,
4,
2,
4,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
7,
2,
2,
3,
6,
4,
2,
4,
4,
4,
5,
3,
3,
4,
4,
2,
5,
2,
4,
3,
4,
2,
2,
5,
3,
2,
4,
2,
2,
4,
4,
3,
3,
4,
3,
2,
2,
2,
2,
4,
2,
2,
4,
4,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
4,
2,
5,
6,
4,
6,
4,
2,
5,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
4,
3,
4,
4,
5,
3,
5,
4,
5,
4,
5,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
4,
3,
4,
2,
2,
4,
5,
4,
6,
6,
4,
3,
4,
2,
3,
3,
3,
4,
1,
4,
4,
5,
4,
4,
6,
3,
4,
5,
6,
4,
7,
2,
4,
2,
4,
3,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
4,
2,
2,
4,
4,
2,
2,
3,
4,
4,
5,
6,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
5,
4,
4,
4,
4,
4,
3,
2,
2,
4,
4,
4,
2,
2,
4,
2,
4,
3,
4,
4,
4,
3,
4,
4,
3,
3,
4,
4,
1,
2,
1,
4,
1,
3,
3,
2,
2,
4,
7,
2,
2,
2,
2,
4,
4,
4,
1,
4,
3,
3,
3,
3,
3,
3,
3,
7,
3,
2,
3,
3,
3,
4,
4,
3,
3,
3,
4,
2,
4,
2,
4,
3,
1,
2,
2,
2,
3,
4,
3,
4,
4,
5,
5,
5,
4,
4,
5,
5,
6,
3,
2,
5,
6,
4,
5,
5,
5,
5,
5,
4,
4,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
5,
5,
4,
4,
4,
2,
3,
2,
4,
3,
4,
4,
4,
2,
2,
4,
4,
4,
2,
1,
2,
3,
2,
3,
3,
5,
2,
6,
2,
3,
3,
4,
4,
5,
4,
4,
2,
5,
4,
3,
2,
3,
4,
3,
4,
4,
5,
2,
2,
2,
3,
2,
2,
2,
5,
3,
6,
3,
2,
4,
4,
5,
2,
5,
3,
3,
3,
2,
3,
3,
4,
3,
5,
4,
5,
3,
5,
4,
2,
2,
4,
3,
5,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
3,
2,
4,
3,
5,
4,
3,
2,
3,
3,
4,
3,
3,
5,
3,
4,
5,
2,
3,
4,
3,
3,
2,
5,
2,
3,
2,
4,
5,
3,
5,
3,
3,
3,
3,
3,
3,
5,
3,
3,
4,
4,
4,
3,
2,
2,
3,
2,
2,
4,
3,
4,
6,
3,
5,
4,
2,
4,
4,
6,
2,
4,
4,
4,
8,
3,
3,
4,
5,
2,
3,
4,
4,
4,
4,
3,
4,
6,
2,
5,
5,
5,
6,
4,
4,
2,
4,
3,
2,
2,
2,
1,
2,
2,
4,
4,
3,
3,
3,
3,
4,
2,
3,
2,
2,
2,
4,
3,
6,
6,
5,
4,
6,
4,
4,
4,
4,
3,
2,
2,
3,
4,
5,
3,
2,
3,
2,
3,
1,
2,
3,
3,
2,
6,
4,
4,
3,
2,
3,
3,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
4,
5,
2,
5,
3,
2,
6,
8,
3,
2,
2,
2,
3,
2,
3,
3,
3,
2,
3,
3,
2,
2,
3,
2,
2,
2,
5,
4,
2,
4,
3,
3,
4,
4,
4,
2,
4,
2,
2,
3,
3,
2,
5,
4,
2,
4,
4,
2,
3,
2,
5,
3,
4,
4,
3,
4,
4,
4,
3,
3,
2,
4,
4,
3,
3,
3,
1,
4,
2,
4,
4,
4,
5,
2,
3,
3,
4,
4,
4,
3,
4,
4,
2,
2,
4,
5,
2,
2,
2,
5,
5,
1,
2,
5,
5,
6,
3,
2,
2,
2,
2,
5,
2,
2,
3,
4,
4,
3,
4,
8,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
4,
4,
3,
3,
3,
2,
2,
4,
4,
4,
4,
3,
4,
5,
5,
3,
4,
2,
2,
6,
3,
2,
2,
2,
5,
3,
6,
4,
2,
5,
2,
2,
3,
4,
4,
4,
4,
4,
3,
3,
4,
2,
2,
2,
2,
3,
3,
4,
4,
2,
3,
4,
4,
3,
4,
3,
4,
2,
3,
3,
3,
5,
4,
6,
4,
4,
4,
1,
1,
3,
3,
3,
2,
2,
3,
2,
2,
4,
6,
2,
3,
4,
3,
5,
3,
5,
3,
2,
6,
5,
5,
2,
4,
2,
4,
4,
4,
6,
4,
2,
6,
6,
3,
3,
2,
4,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
5,
2,
2,
4,
3,
3,
4,
5,
3,
4,
3,
1,
4,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
4,
4,
6,
2,
2,
3,
3,
4,
2,
4,
3,
2,
3,
3,
3,
4,
2,
2,
4,
4,
4,
4,
3,
2,
3,
2,
3,
3,
5,
2,
3,
3,
5,
4,
4,
3,
4,
4,
3,
4,
4,
4,
4,
4,
2,
5,
3,
3,
2,
2,
1,
3,
3,
3,
2,
3,
3,
4,
3,
2,
2,
2,
4,
2,
3,
1,
3,
3,
3,
3,
4,
4,
3,
3,
3,
4,
2,
2,
2,
4,
12,
6,
8,
2,
2,
2,
4,
2,
2,
4,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
4,
2,
3,
7,
2,
2,
3,
2,
3,
4,
2,
4,
5,
3,
5,
3,
2,
3,
4,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
2,
3,
3,
1,
4,
3,
3,
2,
3,
2,
2,
4,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
3,
4,
3,
2,
2,
4,
4,
2,
4,
2,
4,
4,
2,
2,
3,
2,
2,
2,
4,
3,
2,
3,
3,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
3,
4,
2,
2,
5,
2,
2,
2,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
3,
3,
4,
4,
4,
4,
2,
5,
4,
1,
2,
2,
2,
2,
3,
6,
3,
5,
8,
2,
2,
3,
4,
4,
3,
4,
2,
5,
3,
4,
4,
3,
3,
4,
6,
4,
3,
3,
3,
5,
3,
3,
4,
4,
4,
4,
5,
2,
2,
3,
2,
2,
2,
4,
5,
3,
3,
3,
3,
5,
3,
3,
3,
3,
2,
2,
2,
3,
2,
4,
4,
3,
4,
4,
4,
4,
5,
4,
2,
2,
5,
4,
2,
4,
4,
2,
2,
2,
3,
4,
4,
3,
2,
2,
3,
5,
5,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
3,
6,
4,
2,
5,
2,
3,
3,
4,
4,
3,
4,
2,
2,
3,
5,
2,
6,
4,
6,
4,
4,
4,
2,
3,
3,
4,
2,
4,
4,
3,
2,
4,
3,
3,
4,
2,
3,
2,
3,
4,
4,
2,
4,
5,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
7,
4,
4,
5,
5,
8,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
5,
4,
4,
2,
2,
2,
2,
6,
4,
4,
4,
4,
4,
2,
2,
4,
3,
4,
4,
4,
4,
3,
3,
3,
2,
2,
3,
3,
2,
7,
3,
4,
2,
6,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
3,
3,
4,
4,
5,
4,
6,
1,
3,
7,
3,
3,
2,
1,
2,
5,
5,
7,
3,
4,
4,
5,
4,
3,
3,
2,
4,
4,
2,
4,
4,
2,
2,
3,
3,
4,
5,
4,
7,
5,
6,
3,
4,
2,
2,
4,
7,
7,
3,
5,
2,
2,
4,
2,
5,
2,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
4,
2,
5,
3,
4,
2,
2,
3,
3,
2,
2,
2,
4,
4,
3,
2,
4,
2,
2,
4,
2,
4,
4,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
2,
4,
4,
4,
3,
4,
4,
2,
3,
3,
3,
4,
3,
2,
4,
3,
3,
1,
3,
3,
3,
2,
3,
7,
4,
3,
4,
2,
3,
2,
3,
2,
2,
5,
2,
3,
3,
2,
4,
2,
2,
5,
4,
4,
4,
3,
2,
3,
3,
3,
3,
2,
2,
2,
3,
2,
4,
4,
3,
4,
2,
8,
2,
2,
4,
4,
4,
2,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
4,
3,
2,
3,
3,
4,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
3,
5,
3,
4,
4,
3,
3,
4,
3,
4,
3,
4,
3,
4,
4,
4,
5,
2,
5,
4,
2,
3,
2,
2,
3,
2,
4,
4,
4,
4,
1,
2,
4,
2,
3,
3,
4,
4,
2,
2,
4,
4,
5,
7,
6,
4,
4,
5,
4,
4,
3,
2,
2,
4,
2,
4,
2,
2,
4,
2,
2,
2,
3,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
2,
3,
3,
4,
2,
4,
3,
4,
2,
3,
3,
3,
3,
6,
2,
4,
4,
2,
4,
2,
4,
3,
3,
2,
4,
2,
2,
3,
2,
4,
2,
4,
5,
3,
5,
3,
2,
2,
3,
2,
2,
3,
3,
3,
3,
2,
4,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
3,
4,
7,
4,
4,
2,
5,
2,
3,
3,
6,
6,
5,
5,
3,
2,
2,
3,
3,
3,
3,
4,
4,
2,
3,
2,
4,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
5,
2,
4,
4,
3,
2,
2,
4,
4,
4,
4,
3,
6,
6,
2,
4,
5,
3,
3,
4,
2,
2,
2,
3,
2,
2,
2,
2,
3,
3,
4,
3,
6,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
2,
3,
5,
4,
3,
3,
3,
3,
3,
3,
4,
4,
6,
4,
5,
3,
3,
3,
4,
4,
4,
4,
4,
5,
2,
4,
2,
2,
4,
4,
4,
5,
4,
4,
2,
2,
7,
4,
4,
5,
4,
3,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
4,
2,
2,
5,
4,
4,
6,
4,
2,
5,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
2,
3,
3,
2,
3,
4,
2,
4,
3,
3,
2,
2,
2,
2,
3,
4,
4,
2,
1,
4,
3,
4,
7,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
2,
4,
3,
2,
2,
3,
3,
2,
2,
3,
3,
3,
7,
4,
5,
4,
2,
3,
3,
4,
2,
4,
6,
4,
4,
2,
2,
2,
1,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
4,
7,
5,
3,
2,
2,
1,
2,
2,
4,
2,
3,
3,
4,
2,
4,
3,
4,
4,
4,
6,
4,
6,
5,
2,
2,
3,
5,
2,
2,
2,
4,
2,
8,
5,
3,
2,
5,
3,
2,
2,
4,
3,
3,
3,
3,
2,
3,
3,
5,
4,
3,
2,
2,
3,
1,
1,
2,
4,
2,
2,
3,
3,
4,
6,
4,
2,
2,
2,
2,
5,
3,
4,
5,
5,
5,
2,
2,
3,
3,
3,
3,
5,
2,
2,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
5,
4,
4,
5,
4,
4,
5,
3,
3,
4,
4,
2,
2,
9,
3,
6,
6,
3,
3,
3,
3,
4,
3,
3,
4,
4,
4,
3,
2,
4,
4,
2,
4,
2,
3,
4,
4,
3,
5,
3,
5,
3,
4,
3,
2,
2,
3,
4,
5,
4,
4,
3,
3,
2,
2,
4,
5,
3,
4,
4,
3,
2,
5,
5,
2,
2,
2,
2,
2,
4,
3,
2,
4,
2,
2,
3,
4,
5,
2,
3,
2,
2,
2,
2,
2,
2,
4,
5,
3,
2,
4,
3,
4,
3,
2,
4,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
1,
2,
4,
2,
4,
4,
2,
3,
2,
4,
4,
3,
3,
2,
4,
3,
3,
3,
3,
2,
3,
2,
3,
4,
4,
5,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
2,
3,
4,
3,
4,
2,
4,
3,
2,
2,
2,
2,
6,
4,
2,
4,
4,
3,
2,
3,
2,
2,
2,
2,
2,
1,
2,
2,
3,
3,
4,
5,
2,
1,
2,
4,
4,
3,
3,
3,
2,
2,
3,
2,
2,
2,
4,
6,
4,
3,
3,
3,
3,
3,
7,
3,
2,
2,
3,
3,
2,
2,
2,
4,
4,
3,
3,
2,
2,
3,
2,
2,
2,
3,
1,
3,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
4,
2,
6,
4,
4,
4,
2,
4,
3,
4,
4,
4,
4,
4,
3,
4,
3,
4,
4,
2,
4,
4,
4,
5,
2,
4,
4,
2,
3,
4,
4,
2,
4,
3,
4,
4,
3,
4,
3,
2,
2,
2,
2,
2,
2,
1,
6,
3,
3,
4,
4,
5,
2,
3,
4,
4,
4,
4,
3,
3,
4,
2,
4,
4,
3,
3,
3,
2,
4,
4,
2,
3,
2,
2,
2,
3,
3,
3,
2,
3,
2,
2,
4,
3,
2,
3,
4,
2,
3,
3,
2,
2,
3,
2,
3,
1,
3,
3,
3,
4,
5,
7,
6,
3,
2,
3,
3,
2,
3,
3,
2,
3,
2,
2,
2,
3,
2,
5,
2,
5,
4,
5,
4,
3,
4,
5,
3,
4,
4,
4,
4,
3,
4,
2,
2,
3,
2,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
3,
3,
3,
2,
3,
2,
2,
2,
2,
3,
4,
3,
4,
4,
4,
4,
2,
2,
3,
3,
4,
2,
3,
4,
4,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
5,
4,
4,
3,
2,
2,
3,
2,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
3,
3,
2,
1,
2,
1,
6,
5,
5,
4,
5,
2,
4,
2,
4,
5,
2,
3,
3,
4,
2,
3,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
5,
3,
2,
5,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
5,
5,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
4,
4,
5,
5,
5,
5,
3,
2,
3,
2,
2,
3,
1,
2,
3,
3,
4,
4,
4,
5,
5,
2,
4,
4,
4,
2,
3,
4,
4,
4,
2,
2,
4,
3,
3,
4,
4,
3,
3,
6,
4,
4,
4,
4,
3,
2,
2,
2,
6,
6,
2,
2,
6,
2,
2,
2,
4,
5,
4,
4,
2,
2,
4,
4,
5,
4,
6,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
3,
6,
4,
4,
2,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
3,
4,
2,
3,
5,
6,
4,
3,
3,
2,
2,
2,
4,
2,
2,
4,
4,
3,
3,
2,
1,
3,
3,
2,
2,
4,
4,
2,
2,
4,
8,
4,
2,
2,
2,
4,
2,
2,
4,
4,
2,
3,
2,
3,
5,
3,
4,
3,
5,
6,
3,
2,
4,
4,
3,
2,
2,
2,
3,
1,
2,
2,
2,
4,
3,
3,
4,
2,
4,
4,
5,
2,
2,
2,
2,
4,
4,
4,
4,
5,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
3,
2,
4,
2,
4,
4,
2,
2,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
2,
3,
3,
4,
2,
3,
4,
2,
1,
2,
2,
3,
2,
2,
2,
3,
3,
2,
2,
5,
4,
2,
2,
3,
2,
4,
2,
4,
3,
4,
4,
3,
3,
5,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
2,
2,
4,
6,
4,
4,
2,
2,
2,
2,
2,
2,
1,
4,
3,
5,
3,
5,
4,
2,
2,
2,
2,
3,
4,
3,
2,
2,
4,
4,
5,
4,
3,
3,
3,
5,
5,
3,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
6,
2,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
2,
2,
2,
2,
2,
5,
3,
3,
4,
3,
2,
3,
3,
4,
3,
4,
2,
3,
2,
5,
4,
2,
5,
3,
3,
3,
2,
2,
2,
6,
3,
3,
2,
4,
2,
2,
2,
4,
3,
3,
3,
3,
7,
4,
2,
2,
4,
4,
2,
4,
4,
2,
2,
2,
3,
3,
2,
3,
2,
2,
2,
2,
3,
5,
2,
3,
4,
4,
2,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
2,
3,
5,
2,
2,
4,
4,
3,
9,
2,
2,
2,
2,
6,
3,
3,
2,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
4,
2,
4,
3,
4,
4,
4,
4,
4,
5,
4,
3,
4,
5,
6,
2,
4,
4,
2,
4,
3,
2,
3,
4,
6,
4,
2,
5,
2,
2,
2,
5,
5,
3,
4,
3,
2,
2,
5,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
4,
2,
4,
4,
2,
4,
5,
7,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
2,
3,
3,
2,
2,
2,
2,
1,
3,
3,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
4,
3,
3,
2,
2,
2,
4,
3,
4,
2,
4,
4,
2,
2,
5,
5,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
3,
3,
3,
3,
2,
3,
4,
4,
4,
4,
2,
2,
4,
4,
6,
4,
2,
2,
4,
4,
3,
3,
3,
2,
4,
2,
3,
3,
3,
3,
4,
4,
4,
2,
4,
2,
4,
4,
2,
3,
4,
3,
3,
3,
3,
2,
3,
2,
3,
3,
3,
3,
2,
5,
2,
2,
2,
2,
2,
4,
4,
4,
4,
6,
6,
8,
8,
3,
4,
2,
2,
4,
5,
2,
2,
3,
4,
5,
2,
3,
4,
3,
4,
3,
2,
3,
4,
3,
4,
4,
2,
3,
1,
5,
3,
5,
4,
4,
4,
4,
5,
4,
2,
2,
3,
3,
2,
4,
4,
2,
2,
2,
3,
4,
4,
4,
3,
5,
2,
2,
2,
4,
4,
2,
3,
3,
3,
4,
2,
4,
4,
4,
5,
2,
3,
2,
1,
3,
2,
1,
3,
4,
4,
4,
2,
3,
2,
3,
4,
5,
4,
5,
5,
4,
5,
3,
3,
5,
4,
2,
2,
5,
3,
3,
3,
3,
2,
3,
4,
4,
3,
3,
4,
3,
4,
3,
4,
7,
3,
3,
3,
2,
5,
5,
4,
2,
4,
2,
4,
4,
1,
4,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
3,
3,
3,
2,
2,
3,
4,
4,
5,
3,
4,
3,
4,
3,
4,
3,
3,
4,
4,
3,
3,
3,
2,
2,
4,
2,
2,
4,
5,
3,
4,
4,
3,
4,
4,
3,
4,
4,
3,
3,
3,
2,
4,
4,
2,
2,
1,
2,
4,
4,
2,
4,
2,
2,
3,
3,
3,
2,
3,
4,
2,
3,
4,
2,
2,
4,
4,
2,
3,
2,
3,
2,
4,
3,
3,
2,
5,
3,
5,
4,
4,
4,
4,
3,
6,
2,
4,
4,
5,
2,
4,
2,
3,
3,
3,
5,
2,
2,
2,
2,
2,
2,
2,
2,
4,
5,
4,
4,
3,
4,
4,
3,
2,
2,
4,
3,
3,
4,
4,
3,
4,
4,
7,
5,
4,
4,
4,
4,
3,
4,
3,
2,
2,
4,
4,
3,
4,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
5,
4,
3,
5,
5,
3,
4,
4,
5,
5,
3,
5,
3,
3,
2,
2,
2,
3,
3,
4,
2,
2,
3,
3,
2,
5,
3,
2,
2,
2,
7,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
3,
4,
3,
2,
3,
3,
5,
5,
3,
4,
3,
4,
2,
2,
2,
2,
2,
2,
3,
4,
3,
5,
3,
3,
3,
4,
4,
5,
3,
5,
5,
5,
2,
2,
4,
3,
3,
2,
4,
5,
3,
2,
3,
3,
3,
3,
4,
3,
3,
6,
4,
2,
3,
3,
2,
2,
3,
4,
3,
5,
5,
4,
5,
5,
5,
2,
5,
5,
4,
7,
3,
6,
6,
2,
4,
4,
4,
3,
3,
3,
2,
5,
2,
3,
5,
4,
2,
4,
4,
2,
3,
4,
4,
2,
5,
3,
2,
4,
3,
6,
3,
3,
4,
7,
2,
2,
4,
3,
3,
2,
2,
2,
2,
4,
4,
3,
3,
4,
3,
3,
6,
4,
3,
2,
2,
2,
3,
2,
2,
3,
2,
2,
3,
2,
2,
4,
4,
3,
2,
2,
3,
4,
2,
5,
7,
2,
3,
3,
2,
2,
3,
4,
4,
3,
3,
3,
5,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
7,
3,
2,
3,
4,
2,
3,
3,
1,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
5,
6,
5,
5,
1,
3,
3,
2,
4,
4,
4,
4,
4,
3,
2,
2,
2,
3,
2,
2,
5,
4,
4,
4,
4,
2,
3,
3,
4,
4,
1,
4,
4,
2,
2,
3,
2,
2,
7,
4,
3,
3,
4,
2,
2,
3,
2,
2,
4,
4,
2,
2,
3,
2,
2,
2,
2,
3,
3,
3,
3,
5,
3,
5,
3,
4,
2,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
4,
2,
4,
3,
4,
3,
4,
3,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
2,
2,
2,
5,
2,
2,
2,
3,
4,
3,
2,
4,
4,
3,
3,
3,
4,
6,
2,
6,
2,
2,
2,
2,
2,
2,
4,
2,
4,
2,
6,
4,
2,
2,
5,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
3,
4,
5,
4,
4,
4,
4,
4,
4,
3,
5,
4,
2,
2,
4,
4,
2,
3,
4,
4,
1,
3,
3,
4,
2,
2,
5,
4,
4,
4,
5,
4,
3,
7,
4,
4,
2,
1,
3,
2,
4,
4,
2,
4,
4,
2,
6,
4,
5,
5,
4,
4,
3,
3,
5,
4,
4,
4,
4,
2,
2,
2,
4,
4,
3,
2,
3,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
3,
3,
4,
2,
1,
3,
5,
4,
2,
2,
4,
1,
4,
4,
3,
6,
2,
2,
2,
3,
3,
2,
2,
2,
3,
3,
4,
4,
2,
2,
3,
4,
2,
3,
5,
4,
2,
4,
2,
4,
5,
4,
3,
4,
4,
2,
3,
3,
2,
3,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
4,
5,
2,
4,
3,
4,
4,
2,
4,
2,
2,
3,
3,
2,
2,
2,
2,
3,
3,
8,
4,
4,
3,
1,
3,
2,
5,
4,
2,
4,
4,
3,
2,
2,
2,
2,
4,
3,
2,
3,
3,
4,
4,
4,
2,
4,
3,
6,
3,
3,
3,
3,
3,
4,
4,
6,
4,
4,
4,
4,
4,
4,
5,
2,
2,
4,
1,
3,
7,
4,
3,
3,
4,
3,
5,
2,
11,
4,
6,
3,
3,
4,
3,
2,
5,
4,
3,
3,
3,
3,
2,
3,
7,
3,
4,
3,
4,
2,
2,
2,
2,
2,
2,
5,
2,
3,
3,
4,
2,
2,
4,
4,
4,
2,
5,
5,
5,
4,
2,
4,
3,
3,
2,
4,
3,
3,
4,
4,
4,
4,
3,
5,
3,
4,
4,
3,
2,
4,
3,
3,
4,
5,
2,
3,
4,
2,
3,
2,
4,
2,
4,
3,
4,
4,
4,
4,
1,
2,
3,
2,
4,
4,
5,
5,
4,
4,
4,
4,
3,
2,
2,
2,
2,
3,
3,
2,
4,
3,
2,
3,
4,
4,
4,
2,
3,
4,
4,
4,
4,
3,
4,
1,
2,
2,
3,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
4,
4,
4,
3,
2,
3,
5,
5,
5,
5,
3,
3,
2,
5,
2,
2,
4,
4,
4,
5,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
3,
3,
5,
5,
4,
2,
3,
2,
3,
3,
3,
3,
3,
4,
3,
3,
2,
3,
2,
2,
4,
3,
4,
4,
4,
3,
3,
2,
2,
4,
2,
2,
2,
3,
2,
2,
6,
6,
5,
4,
5,
6,
4,
3,
4,
3,
2,
5,
2,
3,
4,
4,
2,
3,
3,
3,
2,
3,
6,
2,
2,
2,
3,
2,
3,
2,
3,
2,
2,
2,
4,
2,
4,
4,
4,
4,
3,
2,
2,
5,
2,
5,
2,
2,
3,
4,
3,
4,
4,
3,
3,
5,
2,
2,
2,
4,
2,
4,
4,
2,
2,
4,
4,
4,
5,
4,
4,
6,
3,
2,
1,
3,
2,
4,
2,
4,
2,
5,
4,
4,
4,
4,
2,
2,
3,
2,
4,
4,
3,
3,
5,
2,
3,
3,
3,
3,
3,
6,
7,
1,
1,
2,
4,
3,
2,
3,
3,
4,
4,
2,
2,
2,
4,
4,
3,
4,
2,
2,
2,
4,
2,
4,
4,
3,
3,
3,
3,
2,
2,
5,
3,
3,
3,
3,
3,
2,
2,
5,
3,
7,
2,
4,
6,
4,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
1,
2,
2,
5,
4,
4,
3,
1,
2,
5,
2,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
4,
4,
4,
7,
2,
4,
4,
5,
4,
6,
6,
6,
2,
4,
2,
2,
4,
2,
2,
2,
2,
4,
3,
3,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
5,
3,
2,
2,
3,
4,
2,
3,
3,
3,
7,
3,
4,
2,
3,
3,
2,
2,
4,
3,
2,
3,
2,
2,
4,
4,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
5,
4,
4,
4,
3,
3,
7,
3,
3,
3,
3,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
4,
3,
4,
4,
4,
4,
3,
3,
2,
5,
3,
3,
3,
4,
4,
4,
2,
3,
3,
4,
3,
2,
4,
4,
4,
2,
2,
4,
2,
8,
5,
4,
3,
3,
3,
3,
2,
2,
2,
4,
2,
4,
2,
1,
2,
3,
2,
6,
5,
4,
4,
3,
4,
4,
3,
3,
4,
4,
4,
5,
5,
4,
4,
3,
1,
6,
6,
2,
3,
3,
3,
3,
3,
2,
2,
2,
4,
3,
4,
5,
5,
3,
2,
4,
2,
2,
5,
2,
4,
4,
4,
4,
4,
2,
4,
2,
6,
2,
2,
4,
4,
2,
5,
3,
4,
3,
3,
2,
5,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
3,
3,
3,
2,
2,
2,
3,
3,
2,
4,
2,
4,
3,
6,
4,
2,
3,
3,
3,
3,
3,
2,
3,
2,
4,
2,
2,
2,
4,
3,
3,
2,
4,
4,
4,
2,
3,
3,
4,
3,
4,
3,
3,
3,
4,
4,
4,
3,
4,
4,
3,
3,
3,
2,
3,
2,
2,
5,
4,
4,
4,
3,
3,
4,
3,
3,
3,
3,
4,
4,
2,
4,
2,
4,
3,
3,
5,
4,
2,
4,
2,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
2,
5,
4,
8,
5,
4,
4,
4,
6,
5,
8,
3,
3,
3,
3,
3,
4,
3,
3,
4,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
2,
2,
2,
5,
3,
3,
4,
3,
6,
4,
4,
5,
3,
3,
2,
3,
2,
2,
4,
4,
2,
3,
3,
4,
2,
4,
2,
2,
4,
3,
3,
2,
5,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
3,
3,
4,
4,
3,
3,
3,
2,
3,
3,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
1,
2,
4,
4,
5,
4,
4,
4,
3,
4,
4,
3,
6,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
4,
6,
2,
5,
5,
2,
2,
2,
4,
2,
2,
3,
3,
6,
4,
2,
2,
5,
5,
5,
5,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
2,
2,
3,
3,
4,
3,
2,
2,
3,
2,
2,
3,
2,
2,
2,
5,
5,
2,
2,
2,
2,
2,
2,
5,
3,
3,
3,
3,
4,
5,
2,
2,
6,
3,
3,
2,
6,
5,
10,
2,
4,
3,
3,
4,
3,
5,
6,
2,
4,
2,
5,
2,
2,
4,
4,
2,
2,
4,
4,
3,
3,
4,
2,
1,
4,
4,
1,
2,
4,
4,
4,
2,
3,
4,
4,
4,
4,
4,
6,
4,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
6,
3,
3,
4,
4,
3,
2,
4,
3,
4,
4,
4,
4,
3,
2,
4,
3,
5,
6,
3,
3,
3,
1,
5,
2,
5,
2,
3,
3,
3,
5,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
8,
8,
4,
4,
4,
4,
3,
6,
2,
4,
4,
4,
4,
3,
3,
2,
4,
3,
2,
2,
2,
2,
4,
2,
4,
2,
2,
4,
4,
4,
5,
2,
3,
2,
3,
4,
2,
3,
2,
2,
2,
4,
4,
4,
5,
6,
4,
4,
3,
4,
3,
1,
4,
4,
4,
4,
2,
2,
3,
3,
3,
1,
3,
2,
3,
3,
2,
4,
2,
3,
4,
5,
4,
2,
4,
2,
2,
4,
2,
2,
3,
2,
4,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
3,
3,
2,
3,
5,
3,
5,
3,
5,
3,
4,
4,
2,
3,
3,
5,
3,
4,
4,
3,
3,
3,
3,
7,
4,
4,
3,
3,
4,
4,
2,
4,
2,
4,
2,
4,
3,
2,
2,
2,
3,
3,
2,
3,
2,
2,
5,
4,
4,
2,
2,
4,
4,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
4,
1,
3,
6,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
3,
2,
3,
1,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
4,
4,
2,
2,
2,
3,
2,
5,
1,
3,
3,
4,
3,
2,
2,
3,
1,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
2,
6,
3,
3,
3,
3,
2,
3,
2,
2,
5,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
3,
2,
2,
2,
1,
5,
3,
3,
4,
3,
3,
2,
2,
3,
2,
3,
3,
4,
3,
3,
3,
3,
3,
4,
6,
3,
4,
4,
8,
4,
3,
3,
3,
4,
3,
3,
2,
3,
2,
3,
2,
2,
3,
3,
3,
4,
5,
3,
3,
3,
4,
2,
4,
3,
2,
5,
3,
3,
3,
3,
6,
3,
7,
3,
3,
4,
3,
3,
3,
2,
2,
4,
2,
1,
2,
2,
3,
3,
2,
5,
5,
3,
3,
3,
4,
4,
2,
3,
5,
4,
2,
3,
2,
2,
2,
2,
3,
2,
3,
4,
3,
3,
3,
3,
3,
5,
3,
3,
3,
3,
4,
4,
4,
4,
5,
4,
4,
3,
4,
4,
5,
3,
3,
3,
3,
2,
3,
4,
4,
4,
4,
3,
6,
3,
2,
3,
4,
2,
2,
2,
2,
2,
4,
2,
2,
7,
4,
2,
3,
2,
3,
4,
4,
6,
2,
2,
2,
4,
4,
4,
3,
2,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
5,
4,
2,
2,
4,
2,
2,
2,
4,
2,
3,
3,
6,
2,
2,
2,
2,
3,
2,
2,
2,
4,
2,
6,
4,
4,
4,
4,
3,
4,
4,
4,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
5,
2,
3,
4,
2,
3,
2,
1,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
4,
4,
4,
3,
4,
3,
2,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
3,
5,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
4,
4,
2,
2,
5,
3,
3,
4,
4,
4,
3,
2,
1,
3,
2,
2,
2,
4,
4,
3,
3,
3,
2,
4,
3,
2,
2,
1,
2,
3,
2,
4,
3,
4,
3,
3,
4,
2,
3,
3,
4,
3,
2,
6,
3,
4,
4,
3,
3,
2,
4,
4,
1,
4,
2,
2,
3,
3,
2,
3,
3,
3,
3,
2,
3,
2,
3,
2,
4,
2,
6,
3,
3,
4,
2,
4,
3,
4,
2,
2,
2,
2,
2,
4,
2,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
3,
2,
3,
3,
2,
2,
4,
3,
3,
3,
4,
3,
2,
3,
2,
3,
3,
4,
5,
7,
4,
3,
2,
4,
6,
4,
4,
2,
5,
5,
2,
3,
3,
2,
2,
2,
4,
5,
5,
5,
4,
2,
3,
4,
4,
7,
6,
5,
4,
5,
2,
4,
4,
4,
4,
2,
4,
4,
6,
5,
2,
4,
2,
2,
2,
3,
3,
3,
2,
2,
3,
5,
1,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
6,
4,
4,
4,
5,
5,
6,
6,
2,
4,
4,
2,
5,
4,
4,
6,
3,
4,
5,
3,
3,
2,
4,
3,
3,
1,
4,
5,
4,
4,
4,
3,
3,
5,
4,
3,
2,
5,
5,
5,
2,
4,
3,
4,
4,
2,
2,
3,
2,
2,
2,
3,
4,
3,
3,
3,
4,
4,
5,
6,
2,
2,
4,
4,
4,
4,
4,
3,
2,
4,
2,
4,
2,
2,
4,
4,
2,
4,
2,
2,
1,
3,
4,
5,
2,
3,
3,
4,
1,
4,
2,
3,
3,
5,
7,
7,
3,
4,
4,
2,
2,
5,
2,
2,
4,
3,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
4,
2,
4,
2,
3,
2,
5,
3,
4,
5,
3,
3,
3,
3,
3,
3,
2,
3,
4,
4,
4,
4,
4,
5,
5,
6,
4,
4,
4,
4,
2,
5,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
2,
3,
3,
2,
3,
3,
2,
2,
3,
1,
2,
3,
4,
4,
4,
4,
2,
4,
3,
5,
2,
3,
2,
5,
6,
3,
3,
4,
2,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
3,
4,
4,
3,
4,
3,
3,
3,
6,
4,
3,
7,
2,
2,
3,
2,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
3,
5,
3,
2,
3,
2,
2,
4,
4,
2,
3,
3,
8,
4,
4,
4,
5,
3,
4,
3,
3,
3,
5,
4,
2,
4,
1,
4,
4,
4,
4,
4,
4,
2,
3,
4,
5,
2,
2,
4,
3,
2,
2,
3,
2,
4,
6,
3,
4,
2,
4,
4,
4,
1,
1,
3,
3,
5,
4,
2,
2,
4,
3,
3,
4,
2,
3,
3,
2,
2,
2,
3,
2,
2,
4,
3,
4,
4,
2,
4,
4,
2,
3,
2,
3,
4,
3,
2,
2,
2,
3,
3,
2,
2,
3,
2,
2,
2,
1,
3,
4,
3,
4,
2,
3,
3,
1,
2,
4,
4,
4,
5,
4,
4,
2,
4,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
4,
2,
2,
7,
2,
5,
3,
4,
2,
3,
4,
4,
4,
5,
5,
5,
3,
2,
2,
2,
3,
2,
5,
4,
6,
4,
3,
2,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
4,
2,
4,
2,
2,
4,
5,
4,
4,
2,
2,
4,
2,
6,
7,
4,
4,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
4,
2,
3,
3,
3,
3,
3,
2,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
4,
2,
2,
4,
4,
2,
4,
4,
3,
2,
2,
6,
4,
4,
3,
4,
4,
4,
2,
3,
5,
3,
4,
1,
4,
4,
6,
5,
3,
4,
3,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
4,
4,
4,
4,
3,
4,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
2,
2,
2,
3,
3,
2,
2,
6,
4,
2,
2,
2,
3,
2,
2,
4,
2,
2,
4,
2,
4,
2,
2,
2,
3,
3,
3,
4,
4,
1,
3,
2,
3,
5,
4,
3,
3,
3,
3,
4,
2,
2,
4,
2,
2,
4,
4,
3,
2,
3,
2,
2,
3,
3,
4,
4,
3,
2,
3,
4,
2,
4,
2,
2,
2,
4,
4,
2,
2,
3,
2,
3,
3,
3,
5,
2,
2,
2,
2,
4,
3,
4,
3,
3,
3,
4,
4,
4,
3,
2,
3,
2,
1,
3,
4,
3,
2,
4,
2,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
4,
3,
2,
4,
3,
5,
2,
2,
2,
6,
2,
3,
4,
5,
3,
5,
2,
4,
2,
2,
4,
2,
1,
1,
1,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
6,
2,
5,
3,
2,
2,
3,
2,
3,
3,
3,
2,
2,
3,
2,
2,
3,
3,
2,
3,
2,
6,
2,
2,
2,
2,
2,
3,
3,
4,
3,
3,
2,
2,
2,
2,
1,
2,
2,
2,
4,
7,
4,
4,
2,
4,
2,
2,
4,
2,
2,
3,
5,
4,
4,
3,
6,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
7,
5,
4,
4,
4,
6,
2,
5,
4,
2,
4,
2,
4,
4,
5,
3,
5,
3,
2,
4,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
5,
3,
2,
3,
2,
3,
2,
4,
4,
3,
7,
2,
2,
4,
4,
4,
4,
4,
3,
2,
2,
2,
3,
3,
3,
2,
3,
2,
2,
2,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
5,
4,
6,
5,
2,
2,
4,
5,
3,
4,
5,
3,
4,
3,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
1,
3,
5,
2,
4,
3,
2,
5,
3,
5,
5,
6,
4,
2,
1,
4,
2,
5,
3,
2,
2,
4,
4,
2,
2,
2,
3,
2,
3,
2,
1,
2,
2,
1,
2,
4,
1,
3,
4,
2,
2,
3,
4,
5,
2,
3,
2,
4,
2,
2,
5,
4,
3,
2,
2,
2,
4,
3,
2,
4,
4,
2,
3,
4,
4,
1,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
3,
3,
2,
3,
4,
2,
3,
3,
3,
3,
5,
5,
6,
3,
5,
3,
2,
3,
7,
3,
3,
5,
3,
3,
3,
3,
2,
3,
3,
3,
2,
4,
4,
3,
4,
3,
3,
3,
2,
2,
2,
4,
3,
4,
1,
3,
1,
4,
4,
3,
4,
5,
4,
4,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
4,
2,
4,
4,
2,
2,
3,
3,
2,
4,
4,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
4,
2,
2,
4,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
1,
6,
7,
4,
3,
3,
3,
3,
2,
4,
1,
5,
3,
4,
2,
3,
7,
5,
4,
4,
2,
7,
4,
4,
3,
4,
3,
2,
2,
2,
3,
4,
3,
2,
2,
4,
2,
2,
2,
4,
2,
2,
2,
4,
3,
4,
2,
2,
1,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
5,
2,
4,
2,
2,
2,
3,
3,
3,
4,
3,
2,
3,
3,
5,
4,
8,
6,
2,
2,
2,
5,
2,
2,
4,
2,
3,
4,
2,
2,
2,
5,
5,
2,
2,
2,
5,
2,
2,
3,
3,
2,
3,
2,
2,
4,
4,
4,
3,
3,
4,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
5,
2,
2,
4,
4,
4,
4,
2,
3,
6,
4,
2,
3,
3,
4,
4,
3,
2,
3,
4,
3,
3,
4,
4,
4,
4,
2,
2,
4,
3,
4,
4,
3,
5,
4,
5,
5,
3,
4,
8,
3,
3,
3,
4,
7,
4,
2,
5,
5,
2,
4,
4,
4,
3,
2,
2,
3,
4,
4,
4,
4,
2,
4,
3,
4,
3,
4,
4,
4,
2,
7,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
4,
5,
5,
2,
5,
3,
3,
2,
3,
3,
2,
2,
2,
2,
3,
2,
2,
3,
3,
4,
3,
1,
5,
4,
4,
4,
4,
6,
2,
3,
4,
2,
3,
3,
3,
4,
2,
3,
5,
2,
2,
4,
4,
5,
3,
3,
3,
2,
3,
3,
4,
3,
4,
3,
4,
3,
4,
4,
6,
7,
5,
1,
4,
2,
5,
4,
2,
4,
3,
4,
6,
2,
4,
6,
4,
4,
5,
6,
4,
4,
2,
4,
4,
4,
4,
5,
2,
8,
4,
4,
5,
4,
2,
4,
4,
3,
4,
4,
4,
3,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
3,
4,
5,
4,
3,
2,
3,
4,
4,
4,
4,
5,
4,
4,
4,
4,
3,
5,
4,
4,
2,
4,
4,
3,
2,
2,
2,
4,
4,
4,
3,
3,
4,
3,
2,
2,
4,
4,
4,
4,
4,
6,
2,
2,
2,
2,
4,
2,
2,
2,
4,
2,
3,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
2,
3,
3,
1,
3,
3,
3,
2,
3,
4,
4,
2,
2,
3,
1,
3,
3,
2,
2,
2,
3,
2,
3,
3,
3,
2,
2,
4,
2,
2,
2,
3,
2,
2,
3,
4,
3,
2,
5,
2,
4,
2,
2,
1,
4,
4,
3,
4,
4,
3,
4,
4,
4,
8,
5,
5,
3,
2,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
1,
1,
1,
3,
2,
3,
3,
2,
1,
3,
2,
2,
3,
3,
4,
2,
3,
1,
4,
6,
1,
3,
5,
2,
4,
3,
2,
4,
4,
4,
8,
2,
4,
4,
3,
3,
4,
3,
3,
4,
3,
3,
3,
3,
2,
3,
2,
2,
3,
2,
3,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
4,
2,
4,
5,
4,
4,
2,
2,
3,
6,
4,
3,
5,
3,
3,
2,
3,
2,
2,
2,
2,
3,
4,
3,
5,
2,
2,
4,
5,
2,
5,
2,
3,
3,
2,
3,
3,
3,
4,
4,
5,
3,
1,
4,
1,
2,
2,
3,
3,
2,
3,
3,
3,
4,
5,
2,
4,
4,
2,
3,
3,
4,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
5,
2,
2,
2,
2,
3,
3,
3,
2,
4,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
2,
2,
3,
2,
3,
1,
2,
8,
2,
2,
4,
4,
2,
2,
2,
3,
2,
2,
2,
3,
4,
5,
7,
5,
5,
4,
2,
3,
5,
2,
3,
3,
6,
3,
3,
3,
3,
3,
3,
4,
4,
6,
2,
6,
7,
4,
2,
6,
5,
7,
3,
5,
2,
2,
2,
4,
4,
2,
2,
2,
4,
6,
6,
3,
7,
3,
8,
2,
2,
4,
2,
3,
3,
2,
2,
3,
3,
3,
2,
4,
2,
3,
2,
3,
2,
4,
2,
4,
2,
3,
3,
2,
3,
2,
2,
4,
3,
4,
2,
2,
2,
2,
4,
3,
3,
2,
3,
5,
4,
3,
4,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
5,
3,
5,
4,
2,
4,
2,
5,
2,
4,
5,
4,
4,
5,
2,
3,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
4,
2,
2,
2,
4,
2,
4,
3,
5,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
2,
2,
6,
3,
3,
5,
4,
3,
5,
3,
3,
4,
5,
5,
4,
2,
2,
2,
3,
4,
6,
6,
2,
4,
2,
3,
3,
6,
4,
4,
4,
3,
3,
3,
2,
2,
2,
4,
2,
3,
4,
2,
4,
2,
3,
3,
2,
3,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
2,
2,
4,
4,
4,
2,
5,
2,
2,
2,
4,
2,
5,
2,
4,
2,
5,
4,
3,
3,
4,
4,
5,
4,
4,
2,
3,
2,
3,
4,
2,
2,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
5,
2,
4,
6,
3,
2,
2,
3,
2,
2,
2,
2,
3,
2,
3,
2,
1,
3,
2,
4,
2,
3,
4,
3,
2,
3,
4,
3,
2,
2,
3,
2,
4,
3,
4,
5,
4,
4,
4,
4,
2,
6,
2,
4,
4,
5,
4,
4,
4,
2,
3,
4,
2,
2,
2,
2,
2,
4,
4,
3,
2,
2,
3,
3,
4,
4,
3,
5,
2,
4,
5,
5,
3,
3,
3,
3,
2,
4,
3,
3,
5,
4,
3,
2,
3,
3,
5,
3,
4,
4,
4,
4,
4,
4,
2,
3,
5,
2,
2,
4,
2,
3,
2,
3,
3,
3,
3,
5,
3,
4,
3,
4,
4,
4,
5,
3,
3,
3,
4,
2,
4,
2,
2,
3,
3,
4,
4,
2,
2,
4,
6,
6,
2,
2,
4,
4,
4,
2,
3,
2,
4,
3,
2,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
3,
3,
2,
2,
2,
4,
4,
2,
4,
2,
2,
6,
3,
2,
1,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
3,
4,
3,
3,
2,
3,
4,
3,
2,
3,
3,
6,
2,
3,
3,
4,
3,
2,
2,
2,
3,
3,
4,
2,
5,
1,
3,
3,
5,
5,
5,
3,
3,
2,
3,
3,
2,
3,
2,
2,
4,
2,
5,
2,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
1,
1,
3,
2,
4,
2,
3,
2,
2,
4,
2,
1,
4,
4,
6,
2,
3,
2,
2,
3,
2,
3,
3,
4,
3,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
4,
4,
3,
4,
5,
5,
2,
5,
4,
4,
4,
3,
3,
3,
5,
2,
2,
3,
3,
3,
3,
2,
3,
2,
2,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
4,
3,
4,
4,
4,
5,
3,
2,
3,
2,
2,
4,
2,
2,
3,
3,
2,
2,
5,
2,
5,
3,
3,
3,
9,
3,
4,
3,
2,
2,
2,
3,
8,
4,
2,
3,
2,
2,
2,
3,
3,
2,
2,
3,
4,
2,
2,
2,
4,
4,
2,
4,
4,
3,
3,
2,
2,
3,
2,
5,
1,
4,
2,
4,
4,
3,
2,
2,
3,
2,
4,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
5,
3,
4,
3,
3,
3,
4,
4,
4,
4,
3,
3,
6,
7,
2,
5,
2,
5,
2,
3,
4,
2,
3,
4,
3,
3,
2,
2,
4,
2,
3,
2,
4,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
4,
3,
4,
4,
4,
4,
4,
2,
1,
2,
3,
3,
3,
2,
2,
2,
2,
2,
1,
3,
3,
2,
3,
4,
2,
3,
3,
3,
3,
4,
5,
3,
3,
7,
4,
4,
7,
3,
3,
4,
2,
3,
3,
3,
4,
2,
3,
2,
3,
4,
3,
5,
3,
3,
2,
4,
3,
4,
3,
4,
4,
5,
4,
3,
3,
3,
3,
5,
4,
6,
5,
2,
5,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
5,
2,
3,
2,
4,
2,
2,
3,
4,
4,
2,
2,
2,
3,
3,
2,
3,
4,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
2,
4,
3,
3,
4,
3,
3,
4,
4,
4,
3,
3,
3,
6,
2,
2,
4,
2,
3,
6,
3,
2,
4,
2,
4,
4,
4,
2,
2,
2,
4,
3,
4,
2,
4,
3,
4,
3,
3,
3,
3,
3,
5,
4,
2,
4,
4,
2,
2,
4,
3,
6,
6,
4,
4,
8,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
4,
2,
2,
4,
4,
6,
4,
6,
4,
3,
3,
3,
2,
3,
2,
1,
2,
2,
1,
3,
3,
3,
2,
3,
3,
3,
6,
6,
3,
3,
5,
3,
3,
1,
1,
3,
4,
2,
2,
2,
4,
3,
3,
4,
4,
3,
3,
3,
3,
4,
4,
4,
4,
2,
3,
2,
4,
2,
4,
4,
4,
4,
3,
2,
2,
3,
2,
3,
3,
2,
2,
3,
3,
3,
4,
4,
3,
3,
1,
3,
4,
3,
3,
4,
3,
3,
3,
4,
5,
2,
2,
5,
4,
3,
3,
2,
3,
2,
2,
2,
2,
4,
3,
4,
2,
4,
4,
3,
3,
2,
2,
2,
2,
2,
4,
3,
4,
2,
2,
2,
2,
2,
3,
2,
5,
2,
2,
5,
2,
2,
4,
3,
4,
4,
4,
3,
4,
4,
3,
2,
4,
2,
4,
5,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
2,
2,
3,
3,
2,
2,
3,
2,
3,
3,
3,
5,
4,
4,
1,
4,
5,
2,
2,
2,
3,
5,
4,
4,
3,
6,
2,
2,
2,
2,
4,
4,
2,
4,
4,
2,
2,
2,
2,
3,
4,
2,
4,
2,
2,
2,
5,
7,
2,
5,
5,
2,
3,
3,
5,
3,
4,
4,
2,
2,
2,
2,
4,
3,
2,
3,
3,
3,
4,
2,
2,
5,
4,
4,
4,
3,
4,
4,
3,
3,
3,
3,
4,
3,
3,
4,
2,
2,
2,
6,
2,
4,
4,
4,
3,
2,
2,
2,
2,
4,
3,
3,
3,
2,
6,
5,
5,
5,
4,
3,
3,
3,
4,
4,
3,
4,
6,
2,
4,
3,
2,
2,
3,
3,
4,
4,
4,
3,
3,
2,
2,
4,
4,
6,
4,
4,
4,
5,
2,
3,
2,
1,
2,
4,
3,
2,
6,
4,
4,
3,
2,
5,
2,
4,
4,
3,
4,
2,
2,
1,
4,
3,
1,
4,
3,
2,
4,
3,
4,
2,
2,
3,
4,
4,
3,
4,
3,
2,
5,
4,
4,
2,
4,
2,
2,
4,
3,
3,
4,
3,
1,
3,
6,
3,
6,
3,
3,
3,
3,
2,
4,
4,
3,
4,
4,
4,
4,
2,
6,
2,
2,
3,
3,
2,
3,
3,
2,
2,
3,
2,
2,
5,
3,
2,
2,
2,
2,
3,
1,
2,
3,
3,
2,
2,
2,
1,
2,
2,
3,
4,
4,
4,
6,
4,
4,
2,
2,
3,
2,
2,
2,
2,
4,
3,
3,
4,
3,
3,
3,
3,
5,
4,
4,
4,
3,
1,
2,
1,
5,
5,
4,
3,
2,
4,
2,
3,
2,
4,
3,
4,
4,
4,
4,
4,
2,
4,
3,
3,
4,
3,
3,
2,
2,
3,
5,
2,
3,
3,
4,
4,
4,
3,
6,
7,
5,
5,
4,
2,
5,
4,
6,
4,
2,
5,
3,
2,
2,
3,
3,
3,
3,
3,
3,
1,
2,
2,
3,
5,
6,
3,
1,
2,
2,
2,
4,
2,
5,
2,
2,
2,
2,
4,
1,
3,
3,
2,
3,
3,
3,
3,
2,
2,
5,
5,
4,
4,
4,
4,
4,
4,
2,
5,
2,
2,
4,
3,
2,
5,
2,
3,
3,
3,
3,
2,
2,
1,
2,
2,
3,
2,
6,
2,
7,
3,
3,
7,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
2,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
4,
3,
4,
4,
4,
4,
3,
4,
4,
2,
4,
3,
2,
2,
2,
2,
2,
1,
2,
5,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
6,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
4,
2,
2,
5,
2,
4,
2,
2,
2,
5,
5,
3,
3,
3,
2,
2,
2,
4,
4,
4,
2,
2,
4,
2,
2,
4,
2,
2,
2,
2,
5,
5,
2,
2,
4,
3,
3,
4,
2,
2,
3,
3,
4,
4,
2,
2,
3,
3,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
3,
4,
3,
4,
2,
3,
3,
3,
2,
5,
2,
4,
3,
3,
2,
5,
2,
4,
5,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
6,
3,
2,
3,
6,
4,
3,
4,
2,
3,
2,
2,
2,
6,
5,
2,
5,
4,
4,
3,
2,
5,
4,
3,
4,
3,
4,
5,
4,
4,
4,
7,
2,
2,
3,
2,
2,
2,
4,
4,
2,
4,
4,
4,
3,
3,
2,
4,
3,
3,
3,
2,
5,
3,
4,
4,
4,
4,
3,
3,
3,
4,
2,
6,
2,
2,
4,
1,
3,
3,
2,
4,
4,
3,
4,
2,
2,
2,
6,
4,
4,
4,
4,
5,
3,
2,
4,
3,
4,
4,
4,
3,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
5,
3,
4,
4,
4,
4,
2,
3,
2,
2,
3,
3,
2,
4,
2,
4,
3,
5,
2,
4,
4,
4,
4,
2,
2,
2,
3,
4,
2,
5,
3,
4,
2,
4,
4,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
5,
8,
4,
8,
5,
2,
2,
3,
3,
3,
5,
4,
3,
3,
2,
2,
3,
3,
4,
3,
5,
4,
4,
3,
5,
2,
5,
5,
5,
4,
2,
2,
2,
3,
2,
4,
3,
3,
5,
6,
4,
4,
4,
4,
5,
4,
4,
2,
2,
2,
3,
2,
3,
4,
3,
4,
2,
4,
2,
2,
3,
2,
2,
3,
4,
2,
3,
4,
2,
1,
2,
2,
2,
2,
3,
3,
6,
5,
4,
4,
4,
4,
4,
2,
5,
2,
4,
4,
3,
4,
2,
3,
3,
4,
3,
3,
4,
7,
5,
4,
1,
2,
4,
1,
2,
3,
3,
3,
7,
2,
5,
4,
6,
2,
3,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
3,
2,
2,
3,
2,
4,
2,
2,
2,
7,
4,
4,
3,
3,
4,
4,
2,
4,
4,
3,
2,
4,
4,
2,
1,
2,
2,
2,
3,
3,
3,
4,
4,
5,
4,
4,
5,
4,
3,
5,
4,
4,
4,
4,
4,
4,
5,
3,
2,
4,
4,
4,
2,
1,
2,
2,
4,
2,
2,
3,
2,
4,
6,
2,
4,
2,
3,
2,
3,
2,
5,
4,
3,
4,
2,
8,
1,
5,
3,
5,
5,
2,
4,
4,
3,
3,
2,
2,
4,
3,
3,
3,
3,
2,
3,
3,
4,
4,
4,
2,
2,
6,
1,
3,
2,
2,
3,
4,
4,
4,
3,
3,
4,
4,
4,
2,
2,
3,
4,
4,
3,
2,
5,
3,
2,
2,
4,
2,
2,
3,
2,
4,
2,
2,
4,
4,
3,
2,
4,
4,
3,
2,
3,
2,
2,
2,
4,
2,
2,
2,
2,
4,
1,
2,
2,
2,
3,
2,
2,
3,
4,
3,
3,
4,
4,
4,
4,
2,
3,
4,
4,
2,
2,
2,
3,
2,
5,
2,
2,
4,
4,
4,
3,
2,
4,
3,
3,
2,
3,
2,
3,
4,
3,
2,
2,
2,
2,
2,
1,
2,
2,
3,
2,
6,
3,
2,
3,
2,
3,
3,
4,
2,
3,
2,
4,
4,
6,
3,
2,
2,
3,
4,
4,
4,
3,
2,
4,
3,
2,
4,
3,
3,
2,
4,
5,
4,
3,
3,
3,
6,
4,
2,
2,
3,
3,
3,
2,
3,
4,
5,
2,
4,
2,
4,
2,
6,
3,
3,
3,
4,
5,
3,
3,
2,
4,
4,
3,
4,
3,
3,
3,
2,
2,
4,
4,
2,
4,
4,
2,
4,
3,
2,
3,
2,
2,
4,
2,
2,
3,
2,
2,
2,
2,
4,
2,
4,
8,
3,
2,
1,
3,
2,
3,
2,
4,
3,
3,
3,
3,
2,
2,
3,
2,
3,
2,
4,
3,
3,
4,
4,
4,
3,
2,
2,
2,
3,
3,
2,
3,
2,
2,
4,
4,
4,
1,
2,
2,
2,
4,
4,
4,
4,
3,
5,
4,
4,
2,
2,
2,
4,
5,
2,
2,
3,
4,
2,
2,
3,
5,
4,
5,
4,
2,
4,
4,
5,
3,
3,
2,
4,
2,
5,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
3,
1,
3,
3,
3,
3,
4,
4,
4,
2,
4,
2,
3,
5,
2,
3,
2,
3,
4,
1,
4,
3,
4,
4,
4,
3,
4,
5,
4,
4,
3,
2,
4,
3,
3,
6,
3,
2,
4,
2,
2,
2,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
4,
6,
4,
3,
5,
4,
4,
2,
3,
5,
6,
6,
3,
4,
7,
4,
7,
7,
3,
2,
2,
2,
2,
4,
3,
4,
4,
4,
5,
4,
2,
2,
3,
4,
2,
5,
3,
3,
3,
3,
2,
2,
3,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
4,
4,
4,
3,
3,
3,
5,
4,
4,
2,
4,
4,
4,
5,
2,
4,
3,
2,
3,
2,
2,
3,
1,
3,
2,
3,
2,
2,
4,
2,
5,
2,
5,
4,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
5,
5,
6,
4,
5,
6,
2,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
4,
4,
3,
2,
4,
2,
2,
5,
4,
2,
5,
2,
2,
3,
2,
3,
3,
2,
3,
5,
2,
2,
2,
2,
5,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
2,
5,
6,
2,
6,
2,
3,
3,
2,
6,
6,
5,
5,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
3,
2,
1,
2,
2,
2,
2,
4,
2,
3,
2,
2,
1,
2,
2,
2,
2,
1,
2,
2,
2,
4,
2,
3,
3,
2,
4,
6,
2,
2,
2,
2,
2,
6,
4,
6,
4,
4,
5,
5,
3,
2,
4,
3,
4,
4,
3,
4,
4,
2,
3,
3,
2,
4,
4,
2,
6,
3,
3,
3,
3,
4,
2,
2,
2,
2,
4,
3,
2,
2,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
3,
4,
4,
4,
3,
5,
4,
7,
2,
2,
1,
2,
3,
3,
4,
3,
3,
4,
2,
7,
3,
4,
3,
3,
2,
3,
3,
3,
3,
3,
4,
3,
3,
3,
4,
3,
2,
2,
2,
4,
2,
4,
4,
5,
5,
3,
2,
2,
2,
4,
4,
2,
2,
4,
2,
4,
2,
2,
3,
3,
2,
2,
3,
6,
2,
3,
3,
4,
2,
3,
3,
4,
3,
3,
4,
4,
4,
4,
6,
3,
5,
4,
3,
3,
4,
2,
4,
3,
5,
2,
3,
6,
6,
2,
2,
4,
4,
2,
2,
2,
2,
3,
3,
3,
2,
2,
1,
4,
3,
5,
2,
3,
5,
3,
1,
2,
3,
2,
2,
5,
4,
2,
2,
2,
3,
4,
4,
2,
2,
3,
2,
3,
3,
4,
4,
2,
4,
2,
3,
5,
2,
2,
5,
2,
2,
2,
2,
4,
3,
4,
3,
4,
3,
5,
4,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
4,
4,
4,
5,
3,
2,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
4,
2,
2,
2,
4,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
5,
2,
2,
2,
2,
2,
2,
3,
6,
3,
2,
2,
2,
6,
2,
2,
2,
2,
2,
2,
7,
5,
8,
3,
5,
3,
3,
4,
2,
3,
3,
3,
2,
2,
2,
4,
2,
2,
2,
5,
3,
3,
4,
2,
3,
2,
4,
3,
2,
2,
2,
3,
4,
4,
4,
3,
3,
2,
3,
5,
3,
4,
2,
1,
5,
5,
3,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
5,
4,
2,
2,
3,
2,
2,
4,
4,
4,
4,
3,
5,
4,
4,
3,
2,
3,
4,
4,
4,
4,
2,
4,
4,
4,
3,
2,
4,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
4,
6,
6,
3,
5,
4,
3,
2,
3,
2,
2,
4,
2,
2,
4,
4,
4,
3,
3,
3,
6,
3,
4,
5,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
4,
6,
3,
3,
3,
2,
5,
5,
4,
2,
3,
2,
2,
3,
2,
2,
3,
4,
3,
3,
5,
2,
2,
2,
3,
2,
1,
2,
2,
2,
4,
2,
4,
4,
6,
2,
4,
2,
2,
3,
2,
3,
6,
3,
3,
3,
3,
1,
3,
2,
2,
4,
2,
4,
1,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
3,
2,
2,
2,
3,
3,
4,
4,
4,
2,
2,
2,
2,
3,
4,
4,
4,
5,
4,
2,
5,
2,
3,
3,
3,
2,
3,
2,
2,
2,
5,
2,
5,
2,
2,
2,
4,
4,
3,
2,
2,
3,
2,
3,
3,
2,
3,
3,
5,
5,
4,
3,
3,
2,
3,
3,
4,
3,
4,
3,
2,
4,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
3,
5,
2,
2,
6,
4,
4,
3,
3,
2,
3,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
8,
5,
4,
3,
4,
2,
2,
6,
4,
3,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
7,
5,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
7,
4,
6,
2,
3,
4,
4,
5,
3,
4,
4,
4,
4,
4,
4,
5,
4,
4,
4,
3,
2,
3,
3,
3,
3,
2,
4,
2,
2,
5,
2,
4,
2,
4,
3,
2,
2,
2,
3,
4,
3,
7,
6,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
2,
4,
3,
4,
2,
6,
5,
5,
2,
3,
6,
3,
2,
2,
2,
2,
2,
5,
4,
2,
3,
3,
2,
2,
2,
4,
5,
4,
4,
5,
3,
4,
4,
2,
3,
4,
4,
3,
1,
3,
3,
3,
2,
2,
3,
5,
2,
2,
4,
3,
3,
3,
5,
3,
4,
4,
4,
4,
3,
4,
4,
4,
2,
2,
4,
4,
4,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
3,
5,
4,
4,
3,
3,
3,
2,
4,
4,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
3,
2,
4,
3,
2,
3,
2,
2,
5,
2,
2,
2,
4,
2,
3,
4,
4,
3,
2,
4,
2,
2,
4,
2,
4,
4,
4,
4,
2,
4,
5,
2,
2,
2,
5,
2,
3,
5,
3,
3,
2,
1,
3,
2,
3,
2,
3,
2,
3,
2,
2,
3,
2,
2,
4,
4,
2,
3,
3,
3,
3,
4,
2,
2,
2,
3,
5,
2,
2,
3,
4,
4,
3,
3,
2,
2,
3,
2,
2,
3,
3,
2,
3,
4,
5,
3,
2,
2,
2,
1,
5,
3,
2,
4,
2,
3,
2,
2,
3,
2,
5,
3,
2,
3,
3,
4,
4,
4,
7,
2,
2,
3,
2,
2,
3,
2,
4,
4,
2,
5,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
5,
5,
4,
4,
5,
2,
3,
4,
4,
4,
2,
4,
4,
1,
3,
3,
3,
2,
1,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
6,
4,
2,
2,
2,
2,
2,
2,
1,
3,
2,
2,
2,
2,
3,
2,
2,
4,
2,
2,
3,
2,
2,
3,
1,
2,
5,
4,
2,
2,
3,
3,
3,
2,
3,
5,
3,
3,
3,
5,
3,
3,
2,
2,
3,
4,
3,
6,
4,
4,
3,
2,
4,
4,
2,
3,
3,
3,
2,
2,
2,
3,
4,
4,
4,
3,
3,
4,
3,
4,
3,
2,
4,
3,
2,
3,
2,
3,
4,
6,
2,
4,
3,
3,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
4,
4,
4,
4,
2,
2,
4,
3,
3,
4,
2,
4,
2,
1,
6,
5,
2,
2,
2,
3,
5,
5,
4,
4,
3,
2,
2,
2,
3,
3,
4,
6,
6,
2,
2,
2,
2,
3,
2,
4,
2,
2,
3,
2,
2,
3,
2,
3,
2,
2,
3,
2,
1,
3,
2,
3,
3,
4,
5,
5,
1,
1,
4,
5,
7,
4,
2,
4,
4,
2,
5,
2,
5,
6,
1,
2,
2,
2,
2,
4,
3,
3,
3,
3,
4,
3,
2,
3,
3,
5,
4,
2,
4,
2,
4,
3,
3,
3,
4,
3,
2,
3,
3,
2,
4,
2,
4,
3,
3,
3,
3,
3,
2,
2,
2,
4,
3,
4,
5,
3,
4,
5,
4,
3,
5,
3,
3,
3,
4,
2,
3,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
2,
2,
3,
4,
3,
4,
3,
3,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
2,
3,
4,
2,
6,
2,
3,
3,
3,
5,
4,
4,
4,
6,
3,
3,
3,
3,
2,
4,
2,
2,
3,
2,
3,
3,
3,
4,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
4,
3,
4,
2,
5,
3,
3,
3,
3,
2,
2,
3,
4,
2,
4,
2,
4,
2,
6,
2,
2,
4,
5,
2,
1,
2,
4,
4,
2,
2,
3,
6,
4,
2,
3,
2,
4,
3,
2,
4,
2,
4,
4,
3,
2,
4,
4,
5,
4,
4,
4,
2,
4,
4,
2,
2,
4,
2,
3,
3,
2,
3,
3,
3,
4,
3,
6,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
2,
4,
2,
4,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
4,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
4,
2,
3,
2,
5,
3,
4,
2,
5,
3,
3,
5,
3,
5,
6,
4,
3,
4,
6,
2,
5,
2,
3,
3,
3,
2,
3,
4,
2,
4,
5,
4,
7,
5,
2,
2,
4,
5,
3,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
4,
2,
1,
3,
2,
4,
4,
3,
5,
2,
2,
1,
3,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
4,
4,
3,
4,
4,
3,
2,
3,
3,
3,
3,
4,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
4,
3,
5,
4,
4,
3,
3,
3,
2,
3,
3,
2,
3,
3,
3,
6,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
5,
4,
4,
2,
3,
2,
5,
5,
9,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
3,
4,
2,
2,
6,
4,
2,
3,
3,
4,
3,
3,
2,
4,
5,
3,
1,
2,
4,
2,
2,
3,
2,
5,
4,
5,
3,
2,
4,
2,
4,
2,
2,
2,
2,
3,
2,
2,
4,
5,
3,
8,
2,
2,
2,
2,
4,
2,
5,
2,
4,
4,
3,
3,
4,
2,
2,
4,
2,
2,
4,
4,
4,
5,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
5,
4,
3,
2,
4,
2,
4,
4,
3,
3,
4,
4,
4,
3,
2,
2,
3,
5,
3,
4,
3,
3,
3,
5,
6,
4,
2,
3,
4,
6,
2,
2,
2,
5,
4,
5,
2,
2,
2,
4,
4,
3,
2,
4,
6,
4,
4,
3,
2,
4,
4,
2,
2,
7,
2,
2,
2,
4,
4,
4,
3,
4,
3,
3,
4,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
3,
3,
3,
4,
2,
3,
4,
5,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
2,
3,
2,
2,
4,
3,
5,
10,
2,
3,
3,
2,
2,
2,
4,
4,
2,
5,
2,
5,
5,
2,
6,
2,
2,
2,
3,
3,
2,
3,
6,
4,
4,
4,
2,
2,
2,
2,
5,
3,
3,
3,
6,
5,
3,
2,
5,
5,
3,
4,
2,
4,
5,
5,
2,
3,
2,
3,
3,
2,
3,
3,
2,
2,
3,
3,
2,
3,
2,
2,
2,
2,
7,
5,
4,
3,
3,
2,
3,
5,
3,
2,
3,
5,
4,
5,
5,
2,
2,
5,
2,
4,
3,
5,
3,
2,
4,
4,
2,
2,
2,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
1,
3,
4,
3,
2,
3,
3,
3,
3,
2,
2,
4,
4,
5,
4,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
4,
3,
3,
3,
4,
3,
3,
4,
4,
3,
3,
3,
4,
2,
4,
4,
4,
4,
3,
4,
3,
7,
4,
2,
3,
2,
4,
2,
2,
3,
3,
3,
5,
2,
3,
5,
5,
2,
2,
3,
5,
5,
4,
2,
6,
2,
2,
2,
5,
2,
4,
4,
4,
2,
4,
2,
2,
4,
4,
4,
2,
5,
4,
4,
4,
5,
5,
2,
3,
2,
3,
3,
2,
2,
3,
2,
3,
3,
4,
6,
3,
4,
2,
4,
1,
6,
2,
4,
3,
3,
1,
2,
6,
3,
3,
2,
2,
4,
2,
4,
4,
4,
4,
2,
4,
2,
2,
4,
5,
4,
3,
3,
2,
3,
3,
3,
2,
4,
3,
4,
4,
2,
3,
3,
2,
3,
4,
2,
2,
3,
3,
2,
5,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
4,
2,
2,
3,
3,
3,
3,
4,
2,
2,
2,
4,
4,
2,
2,
4,
5,
4,
4,
4,
2,
6,
4,
4,
4,
2,
3,
5,
3,
4,
4,
4,
2,
3,
3,
3,
4,
2,
4,
2,
3,
5,
2,
3,
4,
4,
4,
6,
4,
2,
4,
3,
3,
3,
3,
3,
3,
2,
8,
3,
2,
2,
2,
2,
3,
5,
4,
3,
2,
2,
5,
2,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
2,
2,
3,
3,
2,
3,
4,
3,
3,
6,
3,
5,
3,
4,
4,
4,
6,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
4,
2,
3,
3,
3,
4,
4,
7,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
5,
3,
4,
3,
4,
2,
3,
2,
2,
4,
3,
3,
3,
3,
3,
12,
4,
4,
2,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
1,
2,
4,
3,
3,
2,
3,
4,
3,
3,
2,
2,
3,
3,
3,
2,
3,
2,
2,
4,
4,
4,
2,
3,
2,
2,
2,
3,
2,
8,
4,
4,
4,
5,
4,
4,
2,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
3,
4,
2,
3,
2,
3,
4,
4,
3,
3,
3,
4,
2,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
5,
3,
3,
3,
2,
2,
4,
4,
3,
3,
4,
4,
4,
2,
2,
2,
3,
2,
4,
2,
4,
2,
3,
4,
3,
5,
2,
3,
2,
2,
4,
4,
3,
2,
2,
3,
3,
2,
2,
3,
4,
4,
2,
2,
4,
6,
4,
7,
4,
4,
4,
5,
3,
2,
3,
3,
3,
5,
2,
4,
4,
3,
2,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
2,
4,
4,
4,
2,
3,
4,
3,
3,
1,
2,
4,
2,
2,
4,
4,
2,
3,
3,
3,
5,
1,
3,
2,
3,
5,
6,
4,
5,
5,
4,
4,
4,
4,
4,
2,
2,
2,
4,
3,
4,
2,
2,
1,
4,
2,
4,
2,
4,
2,
3,
3,
4,
2,
2,
5,
2,
2,
3,
2,
2,
2,
4,
4,
4,
3,
2,
4,
2,
4,
2,
2,
2,
4,
2,
2,
3,
3,
5,
4,
4,
4,
5,
4,
4,
4,
2,
4,
2,
2,
4,
4,
3,
4,
2,
2,
2,
3,
2,
4,
4,
4,
6,
2,
2,
3,
2,
2,
5,
4,
5,
4,
4,
3,
4,
3,
2,
3,
2,
2,
3,
3,
3,
3,
4,
2,
2,
2,
2,
3,
7,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
1,
3,
2,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
2,
2,
2,
6,
4,
4,
3,
4,
2,
3,
4,
3,
4,
4,
3,
1,
2,
3,
5,
2,
4,
6,
6,
4,
2,
3,
2,
2,
3,
4,
3,
3,
6,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
5,
4,
4,
4,
3,
4,
4,
3,
4,
4,
1,
2,
2,
1,
1,
2,
3,
3,
2,
2,
2,
3,
3,
6,
2,
4,
1,
2,
2,
2,
4,
2,
4,
4,
3,
4,
4,
3,
2,
2,
2,
2,
2,
5,
2,
3,
2,
3,
4,
5,
5,
5,
3,
4,
3,
6,
5,
3,
3,
3,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
4,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
2,
2,
3,
3,
2,
4,
3,
3,
4,
4,
5,
5,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
1,
4,
3,
4,
2,
3,
4,
3,
3,
3,
3,
2,
3,
2,
3,
3,
2,
2,
3,
3,
3,
4,
3,
4,
3,
3,
3,
4,
4,
2,
2,
2,
2,
1,
2,
3,
3,
4,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
3,
4,
4,
5,
4,
3,
3,
5,
4,
3,
2,
3,
8,
2,
4,
2,
5,
4,
4,
4,
5,
3,
2,
5,
4,
5,
4,
2,
2,
4,
4,
4,
2,
1,
3,
2,
2,
2,
3,
1,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
6,
6,
3,
6,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
4,
3,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
4,
3,
3,
5,
4,
3,
2,
3,
3,
3,
4,
4,
4,
5,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
5,
5,
2,
2,
2,
2,
3,
2,
4,
6,
4,
4,
4,
4,
7,
3,
3,
4,
4,
4,
6,
2,
4,
4,
2,
4,
4,
3,
4,
5,
2,
2,
4,
3,
3,
3,
2,
3,
4,
3,
4,
2,
3,
2,
2,
3,
2,
4,
2,
2,
4,
2,
2,
4,
4,
4,
2,
2,
3,
4,
2,
3,
3,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
4,
4,
4,
2,
3,
2,
8,
2,
8,
4,
3,
3,
3,
1,
2,
2,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
5,
4,
4,
4,
1,
3,
3,
4,
5,
3,
2,
3,
3,
3,
7,
2,
4,
2,
4,
4,
4,
6,
2,
2,
2,
3,
4,
4,
3,
2,
3,
4,
2,
3,
3,
2,
3,
3,
4,
2,
4,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
2,
1,
3,
1,
2,
2,
3,
2,
2,
2,
2,
3,
4,
5,
2,
3,
2,
4,
4,
2,
2,
3,
2,
2,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
6,
3,
4,
2,
4,
3,
3,
3,
3,
2,
2,
2,
1,
2,
4,
2,
3,
3,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
3,
2,
2,
4,
2,
2,
2,
3,
6,
3,
3,
3,
3,
2,
4,
4,
5,
3,
2,
3,
2,
5,
3,
2,
2,
1,
3,
2,
6,
3,
3,
2,
2,
2,
4,
3,
3,
3,
2,
3,
3,
5,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
2,
4,
2,
2,
3,
2,
2,
4,
4,
4,
4,
2,
3,
3,
3,
3,
4,
2,
4,
4,
4,
2,
4,
3,
4,
2,
2,
2,
4,
3,
4,
2,
5,
2,
2,
3,
2,
4,
4,
4,
4,
4,
6,
6,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
2,
2,
2,
5,
5,
4,
4,
9,
5,
3,
4,
2,
3,
1,
3,
3,
2,
4,
5,
2,
4,
3,
5,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
4,
3,
3,
4,
3,
4,
2,
2,
3,
2,
2,
2,
4,
3,
3,
3,
3,
2,
5,
3,
5,
8,
2,
4,
7,
2,
2,
2,
4,
4,
4,
4,
3,
2,
4,
2,
3,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
4,
6,
4,
2,
3,
3,
4,
4,
3,
4,
2,
4,
3,
4,
2,
2,
2,
3,
4,
3,
2,
6,
5,
4,
2,
3,
3,
4,
4,
4,
5,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
2,
2,
2,
3,
2,
2,
2,
3,
4,
4,
2,
4,
4,
2,
3,
3,
3,
5,
2,
4,
4,
4,
4,
5,
3,
3,
3,
4,
4,
2,
4,
2,
1,
3,
2,
2,
2,
3,
4,
3,
3,
2,
3,
2,
4,
3,
4,
4,
2,
3,
3,
2,
4,
2,
3,
4,
3,
3,
7,
3,
4,
2,
4,
2,
2,
3,
2,
2,
2,
4,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
5,
4,
4,
4,
3,
3,
2,
3,
3,
2,
3,
2,
2,
3,
3,
3,
2,
3,
4,
3,
2,
3,
4,
3,
4,
2,
3,
6,
2,
3,
6,
2,
4,
5,
4,
2,
2,
4,
4,
2,
3,
2,
3,
3,
3,
3,
2,
4,
5,
4,
4,
5,
3,
3,
5,
2,
3,
2,
4,
5,
5,
5,
2,
2,
4,
4,
2,
2,
5,
4,
4,
4,
3,
4,
2,
3,
5,
3,
3,
4,
2,
2,
2,
3,
3,
1,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
3,
3,
3,
2,
4,
4,
4,
4,
2,
4,
3,
1,
4,
2,
5,
2,
1,
2,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
4,
2,
4,
2,
2,
3,
4,
3,
3,
7,
3,
5,
2,
2,
2,
4,
2,
4,
4,
5,
5,
4,
7,
4,
4,
2,
4,
2,
1,
2,
2,
2,
4,
4,
2,
3,
4,
2,
4,
4,
2,
5,
4,
2,
4,
2,
3,
4,
4,
2,
4,
2,
2,
3,
3,
4,
3,
3,
4,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
3,
2,
3,
4,
3,
3,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
1,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
4,
4,
2,
2,
1,
2,
2,
4,
2,
2,
3,
4,
2,
5,
4,
4,
4,
4,
5,
3,
3,
3,
4,
3,
2,
2,
2,
1,
2,
2,
3,
2,
3,
4,
2,
2,
3,
6,
4,
3,
1,
2,
3,
3,
3,
3,
4,
2,
3,
3,
3,
2,
4,
3,
3,
4,
5,
3,
4,
3,
2,
1,
2,
3,
3,
3,
2,
3,
2,
2,
6,
3,
2,
3,
4,
5,
3,
3,
5,
2,
3,
5,
4,
2,
2,
4,
4,
3,
4,
4,
4,
2,
5,
3,
4,
2,
3,
4,
4,
4,
3,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
1,
2,
2,
4,
4,
4,
4,
2,
7,
2,
3,
4,
5,
5,
3,
3,
3,
5,
3,
3,
2,
3,
5,
3,
4,
2,
4,
4,
3,
2,
3,
2,
2,
2,
3,
4,
2,
3,
3,
3,
2,
4,
2,
3,
1,
3,
3,
3,
3,
3,
1,
2,
3,
3,
3,
3,
4,
2,
2,
5,
2,
3,
4,
3,
4,
2,
2,
3,
3,
2,
4,
4,
4,
4,
3,
5,
4,
4,
5,
4,
6,
3,
4,
4,
4,
6,
4,
4,
3,
2,
2,
1,
1,
2,
3,
2,
2,
2,
6,
3,
4,
3,
5,
2,
4,
4,
4,
3,
4,
4,
5,
2,
2,
3,
4,
3,
2,
3,
3,
3,
2,
2,
2,
2,
4,
2,
3,
3,
2,
3,
2,
3,
3,
3,
2,
4,
5,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
3,
2,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
4,
3,
4,
3,
3,
3,
2,
1,
1,
2,
3,
3,
6,
2,
4,
4,
3,
2,
2,
4,
2,
2,
2,
3,
3,
2,
4,
5,
3,
3,
2,
2,
3,
1,
2,
2,
2,
3,
3,
2,
2,
6,
3,
6,
4,
2,
4,
3,
4,
4,
4,
2,
3,
3,
3,
4,
3,
3,
2,
3,
2,
2,
3,
3,
3,
5,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
3,
2,
3,
3,
1,
3,
3,
2,
4,
2,
3,
2,
3,
2,
2,
3,
3,
2,
2,
4,
4,
9,
3,
4,
2,
4,
3,
3,
3,
4,
5,
5,
5,
3,
5,
6,
2,
4,
3,
2,
5,
2,
3,
2,
2,
3,
2,
3,
4,
3,
3,
3,
3,
3,
6,
3,
3,
3,
3,
5,
3,
3,
3,
3,
3,
4,
4,
4,
1,
6,
3,
4,
4,
6,
3,
2,
3,
3,
2,
3,
6,
4,
2,
2,
2,
2,
1,
3,
2,
4,
2,
3,
2,
5,
5,
3,
3,
2,
2,
2,
4,
2,
4,
4,
4,
4,
5,
4,
2,
4,
3,
4,
4,
4,
4,
5,
4,
4,
6,
4,
4,
3,
6,
4,
4,
3,
5,
1,
6,
4,
2,
2,
3,
2,
4,
4,
2,
2,
3,
2,
3,
3,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
5,
4,
3,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
6,
4,
4,
5,
2,
2,
5,
4,
2,
2,
4,
1,
2,
1,
4,
3,
2,
2,
2,
4,
3,
2,
2,
4,
3,
2,
4,
4,
4,
2,
2,
2,
4,
4,
2,
4,
2,
2,
3,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
2,
2,
2,
4,
3,
4,
4,
3,
3,
3,
5,
3,
2,
4,
7,
4,
3,
2,
5,
2,
2,
2,
2,
2,
2,
4,
2,
4,
3,
3,
5,
4,
3,
4,
4,
4,
4,
3,
5,
3,
6,
4,
2,
3,
7,
3,
5,
4,
4,
2,
3,
4,
4,
4,
4,
2,
4,
4,
2,
4,
2,
2,
4,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
5,
3,
3,
3,
3,
2,
2,
2,
4,
3,
4,
4,
2,
4,
4,
5,
6,
4,
2,
5,
3,
2,
2,
2,
4,
3,
3,
4,
2,
3,
2,
2,
2,
3,
4,
2,
2,
4,
2,
2,
2,
3,
3,
2,
2,
2,
6,
2,
4,
4,
4,
3,
4,
7,
4,
4,
3,
3,
4,
4,
2,
3,
3,
2,
2,
3,
3,
4,
3,
3,
3,
2,
2,
3,
4,
2,
4,
2,
2,
2,
5,
5,
4,
2,
5,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
5,
4,
2,
4,
3,
2,
2,
3,
2,
3,
2,
4,
3,
3,
4,
5,
4,
4,
4,
4,
2,
2,
2,
5,
4,
2,
3,
3,
3,
4,
3,
1,
2,
2,
2,
2,
2,
2,
2,
3,
5,
4,
3,
4,
4,
4,
6,
2,
4,
3,
4,
2,
4,
5,
4,
5,
3,
2,
2,
3,
5,
3,
2,
3,
2,
2,
3,
3,
2,
2,
2,
3,
6,
3,
4,
2,
2,
3,
2,
4,
3,
7,
3,
3,
1,
4,
2,
5,
1,
2,
1,
3,
3,
4,
3,
3,
3,
3,
1,
2,
4,
4,
3,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
2,
3,
4,
4,
4,
4,
1,
2,
1,
4,
4,
3,
3,
4,
4,
3,
5,
3,
4,
3,
2,
3,
3,
3,
3,
3,
4,
4,
3,
3,
4,
3,
4,
2,
3,
3,
2,
2,
3,
2,
3,
5,
4,
4,
4,
2,
3,
4,
2,
3,
2,
3,
2,
4,
4,
4,
4,
2,
3,
2,
3,
5,
4,
2,
4,
2,
3,
3,
7,
6,
2,
2,
3,
2,
3,
4,
2,
3,
3,
2,
2,
3,
2,
3,
2,
3,
4,
3,
4,
2,
4,
2,
4,
4,
4,
4,
5,
4,
5,
6,
7,
5,
3,
3,
1,
2,
5,
5,
2,
2,
4,
4,
2,
4,
2,
4,
2,
5,
2,
3,
3,
4,
4,
2,
2,
2,
5,
1,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
3,
3,
2,
4,
4,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
3,
6,
2,
2,
3,
3,
3,
2,
3,
1,
1,
6,
7,
2,
2,
2,
2,
4,
2,
2,
2,
5,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
2,
2,
2,
4,
4,
4,
2,
3,
3,
3,
2,
3,
3,
5,
2,
3,
2,
5,
4,
3,
3,
4,
2,
3,
3,
4,
2,
4,
2,
3,
2,
3,
2,
5,
5,
2,
4,
2,
2,
5,
3,
3,
3,
3,
4,
2,
3,
2,
4,
2,
4,
4,
2,
4,
1,
4,
3,
2,
4,
2,
3,
2,
2,
2,
2,
4,
4,
3,
2,
3,
2,
2,
7,
3,
4,
4,
2,
3,
3,
4,
4,
3,
4,
3,
3,
4,
2,
4,
2,
3,
2,
2,
4,
2,
4,
2,
2,
4,
2,
3,
3,
1,
4,
5,
4,
4,
3,
2,
2,
2,
2,
4,
2,
2,
4,
4,
2,
3,
2,
2,
3,
4,
2,
2,
4,
5,
2,
2,
2,
3,
4,
3,
2,
3,
4,
3,
5,
2,
3,
2,
2,
4,
4,
4,
5,
3,
3,
3,
3,
3,
3,
5,
2,
2,
2,
4,
5,
7,
4,
4,
4,
3,
4,
4,
3,
2,
2,
3,
3,
3,
3,
2,
2,
3,
3,
5,
3,
4,
2,
4,
8,
3,
2,
4,
3,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
4,
2,
1,
1,
3,
3,
4,
2,
4,
3,
2,
3,
7,
3,
3,
2,
3,
5,
3,
4,
4,
2,
3,
3,
2,
3,
4,
3,
4,
3,
3,
3,
2,
2,
4,
4,
3,
3,
3,
2,
2,
4,
2,
5,
3,
4,
4,
4,
2,
4,
2,
3,
3,
2,
2,
3,
4,
3,
2,
2,
2,
3,
4,
4,
3,
4,
3,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
5,
7,
5,
2,
4,
6,
4,
3,
3,
2,
6,
6,
5,
3,
3,
2,
3,
2,
2,
4,
4,
4,
5,
3,
2,
2,
3,
4,
4,
2,
2,
4,
4,
4,
3,
4,
3,
3,
3,
2,
3,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
5,
5,
2,
2,
3,
2,
3,
3,
3,
3,
3,
2,
4,
2,
2,
3,
2,
4,
4,
3,
3,
4,
4,
2,
4,
5,
2,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
3,
3,
4,
4,
4,
4,
3,
2,
2,
2,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
5,
3,
3,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
4,
1,
4,
5,
4,
4,
6,
5,
1,
3,
2,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
4,
2,
3,
7,
3,
2,
2,
2,
2,
4,
3,
3,
3,
4,
4,
3,
4,
2,
3,
4,
4,
2,
5,
3,
2,
2,
3,
3,
4,
4,
3,
4,
1,
2,
4,
4,
3,
2,
3,
4,
5,
4,
2,
2,
2,
3,
3,
3,
4,
1,
2,
2,
3,
2,
3,
5,
2,
3,
4,
2,
3,
3,
4,
2,
4,
6,
3,
3,
3,
3,
4,
3,
6,
0,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
4,
3,
3,
2,
3,
2,
2,
2,
3,
2,
2,
4,
3,
2,
3,
3,
6,
3,
4,
3,
3,
2,
2,
3,
3,
4,
3,
3,
6,
3,
4,
4,
3,
4,
3,
3,
3,
5,
4,
3,
2,
6,
3,
4,
5,
3,
2,
4,
4,
4,
4,
4,
3,
2,
4,
4,
7,
2,
3,
2,
3,
2,
2,
2,
4,
4,
2,
2,
3,
2,
2,
4,
2,
2,
3,
2,
3,
3,
4,
5,
2,
2,
2,
2,
2,
2,
4,
3,
3,
4,
3,
3,
3,
3,
4,
4,
3,
2,
3,
4,
2,
4,
4,
3,
3,
3,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
6,
3,
6,
2,
2,
4,
2,
2,
2,
5,
5,
3,
4,
3,
4,
2,
2,
3,
2,
2,
2,
4,
3,
4,
4,
2,
2,
1,
2,
2,
5,
4,
4,
2,
4,
4,
2,
5,
3,
2,
3,
4,
3,
3,
3,
4,
2,
3,
3,
4,
3,
5,
2,
2,
2,
2,
2,
5,
5,
2,
2,
4,
3,
3,
3,
3,
2,
2,
4,
4,
4,
3,
4,
4,
3,
2,
3,
5,
2,
4,
4,
4,
5,
3,
3,
3,
2,
2,
4,
2,
2,
3,
4,
2,
2,
2,
1,
2,
4,
4,
3,
3,
3,
4,
5,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
2,
12,
3,
2,
3,
3,
4,
3,
4,
4,
4,
2,
3,
3,
2,
2,
7,
3,
2,
4,
2,
4,
2,
2,
2,
2,
4,
5,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
5,
4,
8,
4,
4,
4,
4,
4,
4,
2,
5,
4,
2,
2,
3,
4,
2,
3,
4,
2,
4,
5,
2,
6,
4,
2,
5,
4,
4,
2,
2,
4,
4,
2,
3,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
6,
3,
2,
3,
2,
2,
3,
3,
3,
3,
1,
2,
2,
2,
3,
3,
2,
3,
4,
5,
6,
4,
2,
2,
2,
2,
4,
3,
2,
2,
4,
3,
4,
4,
2,
4,
3,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
3,
4,
4,
5,
2,
4,
4,
2,
3,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
3,
6,
2,
3,
2,
2,
2,
2,
3,
5,
5,
3,
3,
3,
3,
3,
3,
2,
5,
7,
2,
1,
2,
3,
2,
2,
2,
2,
2,
5,
3,
3,
6,
4,
5,
4,
3,
3,
4,
4,
4,
6,
2,
3,
6,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
6,
4,
3,
3,
3,
6,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
3,
5,
3,
8,
2,
6,
3,
3,
3,
5,
2,
3,
4,
2,
2,
2,
3,
3,
3,
2,
5,
3,
4,
4,
4,
4,
4,
4,
4,
6,
4,
3,
2,
4,
3,
5,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
5,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
3,
6,
2,
5,
3,
2,
2,
4,
5,
5,
2,
3,
3,
2,
3,
3,
2,
2,
2,
2,
3,
2,
3,
6,
6,
3,
3,
5,
2,
3,
3,
2,
3,
3,
2,
5,
2,
4,
4,
5,
2,
3,
4,
3,
2,
2,
2,
3,
3,
6,
4,
3,
6,
6,
4,
1,
3,
4,
6,
1,
5,
3,
4,
4,
2,
2,
4,
4,
1,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
2,
2,
2,
4,
2,
2,
3,
3,
3,
2,
3,
4,
3,
3,
3,
3,
2,
2,
6,
2,
2,
2,
2,
2,
3,
2,
5,
2,
2,
2,
2,
2,
2,
4,
3,
3,
6,
6,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
3,
2,
5,
2,
2,
3,
2,
2,
2,
3,
5,
4,
2,
2,
2,
4,
2,
3,
2,
3,
4,
4,
4,
4,
2,
4,
3,
6,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
5,
4,
3,
2,
2,
2,
2,
3,
4,
2,
4,
1,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
5,
2,
3,
3,
2,
4,
4,
3,
2,
3,
2,
4,
4,
2,
2,
2,
2,
4,
4,
4,
5,
4,
4,
4,
3,
2,
5,
4,
4,
2,
3,
6,
4,
4,
3,
2,
2,
4,
5,
6,
3,
2,
2,
2,
4,
7,
2,
3,
3,
2,
3,
4,
4,
2,
2,
2,
2,
5,
2,
3,
1,
5,
3,
3,
2,
3,
2,
6,
3,
2,
3,
2,
4,
2,
5,
3,
1,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
5,
4,
4,
2,
2,
2,
2,
2,
4,
3,
3,
2,
2,
3,
3,
1,
1,
4,
4,
4,
2,
2,
2,
3,
2,
1,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
7,
3,
4,
3,
2,
3,
3,
2,
4,
4,
4,
3,
4,
4,
3,
2,
3,
3,
2,
4,
2,
3,
3,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
1,
2,
3,
2,
2,
4,
6,
3,
4,
3,
4,
5,
4,
4,
3,
4,
2,
2,
2,
2,
4,
3,
2,
3,
4,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
4,
3,
2,
3,
4,
3,
2,
2,
2,
3,
4,
2,
5,
2,
2,
2,
3,
2,
2,
2,
2,
2,
5,
4,
2,
4,
4,
4,
4,
5,
3,
5,
4,
2,
4,
4,
4,
2,
2,
2,
3,
3,
6,
5,
2,
4,
5,
3,
5,
3,
6,
3,
2,
2,
4,
4,
2,
4,
5,
4,
5,
3,
4,
2,
3,
5,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
3,
2,
4,
1,
2,
2,
3,
3,
3,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
2,
2,
4,
4,
3,
3,
3,
4,
3,
5,
4,
5,
5,
2,
3,
3,
3,
3,
3,
4,
4,
3,
5,
4,
4,
4,
4,
4,
3,
2,
2,
5,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
3,
1,
3,
3,
3,
5,
4,
4,
3,
1,
4,
3,
3,
4,
2,
2,
3,
3,
8,
4,
2,
3,
3,
3,
3,
5,
2,
3,
4,
2,
2,
4,
6,
3,
6,
2,
4,
3,
3,
3,
3,
2,
2,
3,
2,
3,
2,
2,
5,
3,
4,
2,
2,
2,
3,
3,
3,
3,
3,
6,
2,
3,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
2,
2,
1,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
4,
2,
3,
4,
3,
4,
3,
4,
3,
4,
4,
5,
2,
2,
3,
4,
5,
4,
4,
2,
4,
4,
4,
4,
3,
3,
2,
2,
3,
2,
4,
4,
4,
4,
4,
3,
2,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
3,
1,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
3,
2,
3,
2,
4,
3,
4,
3,
5,
2,
4,
3,
2,
3,
3,
2,
2,
4,
5,
3,
2,
4,
3,
2,
3,
4,
5,
4,
2,
2,
2,
3,
3,
3,
2,
4,
2,
3,
2,
2,
3,
2,
7,
4,
3,
3,
3,
3,
3,
4,
2,
4,
2,
1,
2,
4,
2,
5,
2,
3,
3,
2,
4,
4,
4,
4,
3,
4,
5,
6,
2,
5,
5,
6,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
3,
2,
4,
2,
2,
2,
4,
2,
3,
4,
3,
2,
3,
2,
2,
4,
4,
2,
4,
5,
2,
4,
2,
2,
2,
2,
2,
1,
5,
3,
2,
2,
7,
3,
4,
2,
4,
3,
5,
3,
4,
2,
4,
2,
2,
4,
4,
3,
3,
3,
2,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
3,
4,
3,
4,
2,
3,
3,
1,
2,
2,
2,
1,
4,
4,
3,
3,
3,
2,
3,
2,
3,
2,
2,
3,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
3,
5,
2,
3,
3,
4,
2,
4,
4,
2,
2,
4,
4,
4,
4,
3,
4,
3,
2,
3,
3,
3,
3,
5,
2,
3,
5,
4,
4,
2,
4,
3,
5,
4,
3,
2,
2,
4,
2,
2,
2,
1,
3,
4,
4,
4,
2,
2,
3,
3,
3,
3,
5,
5,
4,
4,
4,
5,
4,
2,
2,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
2,
3,
4,
3,
3,
2,
2,
6,
2,
3,
2,
2,
3,
4,
3,
3,
4,
4,
6,
3,
4,
2,
2,
6,
4,
2,
3,
3,
4,
4,
4,
4,
4,
3,
4,
5,
2,
3,
2,
2,
2,
4,
3,
4,
2,
2,
6,
2,
2,
2,
3,
2,
2,
4,
4,
2,
2,
4,
2,
4,
4,
2,
4,
3,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
8,
4,
2,
3,
3,
2,
3,
3,
3,
2,
3,
3,
2,
5,
4,
2,
3,
3,
5,
2,
3,
3,
3,
3,
3,
4,
5,
8,
4,
4,
2,
3,
4,
3,
2,
2,
4,
4,
1,
2,
4,
2,
3,
2,
3,
3,
2,
2,
4,
5,
3,
2,
5,
2,
4,
2,
2,
2,
6,
3,
6,
2,
2,
1,
4,
3,
4,
4,
5,
4,
4,
2,
2,
2,
3,
2,
3,
3,
4,
2,
4,
3,
2,
6,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
3,
2,
4,
4,
3,
4,
2,
2,
3,
2,
2,
2,
6,
4,
4,
3,
2,
2,
2,
3,
3,
3,
3,
3,
5,
5,
4,
3,
2,
2,
2,
4,
2,
2,
4,
2,
4,
2,
4,
4,
2,
3,
3,
2,
2,
4,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
3,
6,
6,
2,
3,
6,
4,
4,
2,
4,
4,
2,
4,
4,
3,
2,
4,
4,
6,
3,
4,
3,
3,
3,
5,
3,
5,
2,
4,
2,
5,
3,
3,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
2,
3,
2,
4,
3,
2,
3,
2,
3,
3,
2,
4,
4,
2,
2,
2,
2,
2,
3,
4,
4,
3,
2,
5,
3,
3,
5,
3,
1,
3,
5,
5,
3,
2,
4,
2,
3,
8,
4,
3,
3,
3,
3,
2,
2,
5,
3,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
5,
3,
3,
3,
3,
4,
4,
6,
2,
5,
4,
3,
3,
4,
4,
4,
2,
2,
4,
2,
4,
2,
2,
4,
4,
2,
4,
3,
2,
4,
5,
2,
3,
2,
2,
2,
1,
2,
3,
2,
2,
2,
4,
4,
4,
4,
2,
4,
2,
3,
4,
4,
3,
3,
3,
3,
3,
7,
2,
2,
3,
4,
4,
4,
4,
2,
3,
2,
4,
2,
3,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
4,
2,
3,
2,
3,
4,
4,
3,
4,
7,
5,
5,
3,
3,
3,
3,
2,
2,
3,
4,
3,
4,
1,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
5,
2,
3,
1,
4,
3,
2,
3,
2,
3,
3,
4,
6,
3,
3,
3,
6,
2,
2,
3,
2,
2,
2,
4,
4,
5,
5,
4,
2,
2,
4,
4,
4,
2,
4,
2,
2,
4,
4,
4,
2,
3,
2,
2,
2,
1,
1,
3,
3,
3,
2,
7,
2,
3,
2,
3,
2,
3,
2,
3,
4,
2,
3,
2,
2,
2,
2,
3,
1,
5,
2,
3,
5,
4,
4,
3,
4,
3,
3,
4,
3,
2,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
4,
3,
2,
3,
5,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
3,
2,
3,
2,
3,
3,
3,
2,
1,
1,
3,
2,
2,
2,
2,
2,
5,
4,
2,
2,
2,
3,
6,
2,
5,
2,
4,
3,
1,
4,
3,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
5,
4,
2,
1,
2,
3,
3,
3,
1,
1,
2,
3,
3,
3,
2,
3,
3,
4,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
2,
2,
3,
3,
4,
2,
3,
2,
3,
3,
2,
3,
2,
2,
2,
2,
3,
3,
2,
2,
2,
3,
2,
3,
3,
2,
4,
3,
4,
3,
3,
3,
4,
2,
2,
3,
2,
2,
2,
4,
7,
4,
6,
4,
2,
4,
2,
3,
4,
3,
4,
3,
3,
4,
4,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
2,
3,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
2,
4,
4,
3,
2,
2,
4,
4,
4,
2,
5,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
6,
2,
3,
3,
3,
4,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
6,
4,
7,
5,
2,
4,
4,
9,
5,
3,
3,
2,
2,
2,
4,
2,
2,
4,
2,
4,
2,
2,
2,
8,
2,
4,
3,
2,
2,
6,
4,
2,
3,
8,
2,
4,
4,
2,
2,
3,
2,
2,
3,
2,
4,
2,
3,
1,
3,
1,
2,
3,
2,
3,
2,
4,
2,
4,
4,
4,
2,
2,
3,
3,
3,
2,
2,
3,
4,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
3,
2,
4,
3,
3,
3,
2,
4,
2,
2,
3,
2,
2,
3,
6,
6,
4,
2,
4,
3,
2,
2,
1,
2,
2,
4,
3,
4,
3,
6,
4,
4,
6,
2,
2,
3,
4,
2,
2,
2,
2,
3,
5,
4,
2,
2,
2,
2,
4,
2,
5,
5,
2,
4,
4,
2,
3,
6,
4,
4,
4,
3,
3,
4,
2,
4,
3,
2,
3,
5,
3,
4,
2,
2,
3,
3,
3,
4,
2,
3,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
4,
4,
3,
4,
3,
4,
3,
3,
3,
5,
2,
4,
4,
3,
5,
4,
3,
4,
4,
4,
4,
4,
2,
4,
5,
2,
2,
3,
3,
6,
4,
3,
3,
3,
4,
3,
3,
3,
4,
3,
4,
2,
2,
2,
4,
4,
2,
3,
8,
7,
6,
6,
4,
4,
2,
4,
2,
3,
2,
2,
2,
3,
1,
4,
4,
3,
3,
2,
3,
3,
2,
2,
3,
3,
2,
4,
3,
5,
3,
7,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
4,
2,
3,
4,
4,
3,
2,
4,
2,
3,
3,
2,
3,
3,
3,
2,
3,
3,
3,
4,
2,
3,
3,
1,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
4,
4,
2,
4,
3,
3,
4,
2,
6,
3,
2,
4,
2,
1,
5,
4,
3,
3,
2,
1,
4,
2,
2,
4,
2,
3,
2,
2,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
6,
3,
4,
2,
4,
4,
2,
3,
5,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
3,
2,
2,
3,
3,
2,
3,
2,
2,
4,
4,
3,
2,
3,
3,
5,
6,
5,
5,
3,
3,
5,
4,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
2,
5,
1,
2,
2,
3,
3,
4,
4,
4,
2,
5,
2,
3,
3,
3,
3,
4,
3,
3,
2,
2,
2,
4,
5,
3,
2,
3,
3,
3,
3,
4,
2,
2,
2,
3,
2,
4,
4,
4,
2,
6,
2,
4,
4,
4,
3,
4,
2,
2,
3,
3,
3,
3,
4,
5,
2,
4,
3,
3,
2,
1,
6,
2,
4,
4,
2,
4,
4,
3,
3,
3,
3,
3,
5,
2,
2,
3,
3,
3,
4,
5,
2,
3,
4,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
7,
5,
2,
3,
2,
3,
2,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
5,
2,
1,
2,
2,
2,
2,
4,
4,
2,
2,
2,
1,
1,
2,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
1,
2,
2,
2,
1,
2,
2,
2,
2,
4,
4,
1,
4,
5,
3,
3,
3,
3,
2,
2,
2,
4,
5,
4,
3,
3,
2,
4,
3,
4,
3,
3,
3,
4,
3,
2,
3,
2,
4,
3,
3,
3,
2,
4,
4,
2,
3,
3,
3,
2,
4,
2,
2,
6,
3,
4,
4,
2,
4,
4,
4,
3,
1,
2,
2,
2,
3,
3,
2,
2,
3,
2,
3,
5,
2,
4,
2,
2,
2,
3,
5,
5,
3,
5,
5,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
4,
3,
4,
2,
4,
5,
3,
3,
4,
4,
3,
4,
6,
5,
5,
4,
4,
2,
2,
1,
2,
3,
2,
1,
3,
2,
2,
3,
3,
2,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
5,
5,
5,
4,
3,
3,
3,
3,
3,
4,
4,
2,
4,
3,
3,
3,
3,
3,
5,
6,
6,
3,
3,
3,
3,
3,
4,
4,
3,
4,
2,
2,
2,
2,
4,
4,
2,
4,
3,
4,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
4,
6,
6,
3,
4,
2,
4,
4,
4,
1,
4,
2,
3,
4,
4,
4,
3,
3,
3,
4,
3,
3,
3,
11,
5,
3,
2,
3,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
5,
2,
2,
3,
7,
3,
4,
4,
2,
4,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
6,
3,
3,
4,
3,
6,
2,
6,
6,
7,
2,
4,
4,
4,
4,
2,
2,
1,
2,
4,
3,
2,
4,
2,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
6,
7,
3,
2,
4,
7,
3,
4,
5,
3,
2,
2,
3,
2,
2,
3,
3,
3,
1,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
3,
1,
3,
1,
4,
6,
4,
3,
3,
2,
4,
4,
3,
2,
3,
3,
1,
2,
2,
3,
2,
3,
5,
3,
3,
4,
3,
4,
6,
3,
2,
3,
2,
2,
5,
2,
4,
8,
4,
4,
2,
4,
4,
2,
5,
4,
2,
3,
3,
3,
1,
2,
3,
3,
4,
4,
4,
3,
2,
2,
6,
4,
3,
3,
3,
3,
2,
5,
2,
5,
3,
3,
3,
2,
2,
2,
5,
5,
5,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
3,
5,
5,
5,
4,
4,
5,
3,
2,
3,
4,
3,
6,
4,
3,
5,
2,
4,
2,
3,
4,
2,
2,
2,
3,
3,
3,
3,
3,
4,
6,
3,
4,
4,
3,
4,
4,
2,
2,
2,
2,
4,
2,
2,
4,
4,
2,
5,
5,
4,
4,
3,
2,
2,
3,
4,
3,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
3,
3,
4,
4,
3,
4,
3,
6,
4,
2,
5,
3,
3,
3,
3,
2,
5,
2,
2,
3,
5,
10,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
4,
3,
2,
2,
3,
3,
3,
4,
8,
7,
4,
3,
5,
3,
2,
3,
3,
3,
3,
2,
3,
8,
4,
4,
4,
3,
4,
2,
3,
2,
3,
2,
4,
2,
2,
2,
3,
2,
2,
2,
2,
6,
6,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
7,
5,
5,
5,
5,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
4,
4,
2,
6,
1,
1,
2,
2,
2,
6,
2,
2,
2,
2,
4,
4,
2,
1,
2,
3,
4,
2,
2,
2,
2,
4,
3,
3,
3,
3,
5,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
5,
6,
3,
4,
4,
5,
4,
2,
4,
4,
4,
4,
6,
3,
3,
5,
5,
5,
5,
4,
2,
4,
4,
4,
1,
2,
2,
2,
2,
3,
3,
5,
4,
5,
2,
4,
3,
4,
3,
4,
3,
4,
4,
4,
2,
2,
2,
2,
3,
2,
3,
5,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
4,
4,
3,
5,
5,
5,
4,
4,
2,
2,
2,
2,
3,
3,
3,
4,
2,
4,
4,
3,
6,
3,
5,
2,
4,
6,
2,
2,
6,
4,
2,
10,
2,
3,
2,
3,
5,
2,
2,
2,
2,
2,
3,
4,
4,
2,
4,
2,
2,
3,
4,
3,
4,
2,
3,
4,
3,
3,
3,
3,
4,
4,
3,
3,
2,
2,
3,
3,
3,
4,
3,
2,
2,
2,
3,
3,
3,
5,
3,
3,
3,
3,
4,
4,
4,
3,
4,
2,
8,
3,
5,
6,
3,
2,
4,
2,
2,
3,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
4,
6,
4,
4,
5,
4,
3,
4,
4,
2,
2,
3,
2,
3,
3,
4,
3,
4,
2,
2,
3,
2,
3,
3,
3,
2,
3,
4,
2,
2,
3,
2,
8,
6,
6,
5,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
2,
4,
3,
6,
4,
6,
2,
2,
6,
2,
4,
3,
2,
2,
1,
2,
3,
3,
3,
3,
4,
4,
3,
4,
2,
3,
3,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
2,
4,
5,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
5,
6,
4,
4,
2,
4,
4,
4,
7,
2,
3,
2,
2,
2,
4,
4,
3,
3,
3,
6,
6,
3,
3,
3,
2,
4,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
5,
2,
2,
4,
4,
3,
2,
2,
2,
3,
4,
4,
3,
4,
4,
3,
2,
3,
4,
2,
2,
2,
1,
1,
2,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
4,
5,
2,
4,
5,
5,
3,
1,
2,
4,
3,
5,
4,
3,
2,
2,
2,
2,
5,
3,
4,
5,
3,
3,
3,
5,
2,
2,
3,
4,
3,
3,
3,
3,
2,
4,
3,
4,
4,
3,
2,
3,
5,
3,
3,
3,
3,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
2,
2,
3,
1,
3,
3,
3,
2,
2,
2,
2,
2,
2,
5,
7,
7,
5,
4,
4,
4,
3,
4,
3,
2,
3,
4,
2,
3,
3,
3,
2,
4,
4,
4,
4,
1,
2,
2,
2,
1,
2,
4,
3,
4,
2,
2,
4,
4,
2,
4,
2,
3,
3,
2,
2,
2,
1,
2,
4,
2,
3,
5,
4,
7,
3,
2,
3,
4,
2,
1,
2,
2,
1,
2,
2,
2,
3,
3,
4,
2,
5,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
3,
4,
2,
2,
1,
2,
2,
4,
4,
4,
3,
2,
2,
4,
3,
4,
4,
4,
4,
3,
4,
4,
3,
2,
4,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
4,
5,
3,
4,
4,
2,
5,
4,
3,
4,
4,
4,
4,
4,
3,
3,
4,
4,
2,
3,
4,
2,
3,
2,
2,
4,
2,
4,
4,
4,
3,
4,
4,
4,
4,
4,
5,
4,
4,
4,
4,
3,
3,
2,
3,
4,
3,
3,
1,
3,
2,
4,
4,
4,
3,
4,
3,
4,
2,
3,
3,
2,
1,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
3,
4,
4,
3,
4,
3,
3,
4,
5,
2,
2,
4,
2,
2,
2,
3,
2,
2,
3,
4,
4,
4,
6,
4,
6,
4,
2,
4,
4,
5,
2,
2,
3,
4,
4,
4,
4,
4,
2,
8,
3,
3,
4,
3,
2,
2,
2,
5,
5,
5,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
2,
3,
2,
2,
2,
2,
3,
3,
5,
3,
2,
2,
4,
3,
3,
4,
5,
4,
4,
2,
2,
2,
4,
2,
5,
2,
2,
3,
3,
3,
2,
3,
4,
5,
3,
5,
3,
2,
2,
5,
5,
3,
4,
1,
2,
2,
2,
2,
8,
3,
3,
5,
2,
5,
2,
4,
4,
2,
4,
4,
4,
2,
3,
3,
4,
4,
4,
4,
6,
3,
3,
3,
2,
4,
3,
4,
4,
6,
4,
4,
4,
4,
4,
2,
4,
5,
4,
4,
2,
4,
2,
3,
3,
4,
2,
5,
4,
3,
4,
2,
4,
3,
2,
2,
4,
2,
2,
3,
3,
4,
3,
4,
4,
8,
4,
3,
4,
4,
4,
4,
3,
3,
3,
6,
2,
2,
3,
5,
4,
4,
2,
2,
3,
2,
1,
3,
3,
3,
2,
2,
2,
5,
4,
3,
3,
3,
2,
2,
2,
2,
4,
2,
2,
3,
4,
3,
4,
3,
4,
5,
3,
3,
3,
4,
5,
2,
4,
3,
2,
5,
2,
3,
2,
2,
3,
2,
2,
2,
3,
2,
3,
2,
2,
3,
2,
3,
3,
3,
2,
3,
3,
3,
2,
5,
4,
5,
4,
3,
3,
2,
2,
2,
4,
2,
2,
2,
4,
4,
3,
2,
2,
3,
4,
2,
3,
4,
2,
2,
4,
4,
3,
3,
5,
2,
2,
2,
2,
2,
3,
2,
2,
4,
4,
4,
3,
2,
2,
4,
2,
2,
4,
2,
2,
2,
4,
2,
2,
3,
4,
3,
3,
5,
2,
6,
2,
4,
3,
2,
3,
5,
3,
3,
3,
7,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
5,
3,
3,
3,
4,
2,
4,
3,
4,
2,
2,
2,
2,
2,
3,
3,
6,
6,
3,
3,
4,
3,
4,
4,
4,
4,
8,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
2,
5,
4,
4,
4,
4,
4,
2,
5,
3,
2,
1,
3,
3,
2,
2,
4,
2,
4,
1,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
4,
4,
2,
4,
5,
4,
6,
2,
5,
2,
4,
6,
5,
5,
4,
4,
6,
3,
3,
4,
3,
5,
5,
5,
2,
2,
2,
2,
2,
2,
4,
5,
4,
4,
4,
3,
5,
3,
2,
6,
2,
2,
3,
3,
3,
3,
2,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
3,
2,
4,
2,
3,
5,
4,
3,
3,
3,
3,
2,
3,
3,
1,
3,
3,
4,
5,
4,
2,
4,
4,
3,
4,
3,
3,
2,
2,
4,
2,
3,
3,
3,
4,
3,
4,
2,
2,
4,
3,
2,
2,
3,
4,
5,
4,
4,
4,
3,
4,
4,
2,
3,
4,
2,
2,
2,
5,
2,
2,
4,
3,
4,
2,
3,
3,
5,
2,
4,
2,
2,
2,
2,
4,
3,
2,
4,
2,
4,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
1,
3,
1,
4,
3,
3,
4,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
6,
2,
2,
2,
3,
2,
3,
3,
3,
4,
2,
2,
2,
3,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
3,
4,
5,
3,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
2,
2,
5,
3,
3,
4,
4,
4,
3,
5,
2,
2,
4,
3,
6,
2,
4,
2,
2,
1,
3,
3,
1,
1,
3,
2,
4,
3,
2,
2,
2,
2,
3,
2,
3,
2,
4,
4,
2,
2,
2,
3,
1,
3,
3,
3,
4,
2,
2,
1,
2,
2,
4,
7,
4,
4,
4,
3,
3,
2,
3,
2,
4,
3,
2,
4,
3,
7,
2,
4,
4,
4,
4,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
7,
4,
2,
3,
2,
4,
4,
4,
2,
5,
5,
6,
2,
2,
3,
2,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
3,
2,
3,
3,
2,
3,
2,
4,
4,
3,
4,
2,
2,
2,
4,
3,
5,
2,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
4,
3,
4,
2,
4,
4,
4,
6,
2,
1,
5,
6,
2,
2,
3,
3,
3,
3,
2,
4,
4,
3,
2,
2,
4,
4,
4,
4,
4,
2,
3,
3,
5,
1,
3,
3,
3,
3,
2,
5,
2,
3,
3,
3,
2,
1,
1,
3,
3,
2,
2,
1,
3,
1,
4,
3,
2,
2,
3,
3,
4,
2,
2,
3,
2,
3,
2,
4,
5,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
1,
2,
4,
2,
2,
4,
4,
2,
3,
3,
3,
3,
3,
2,
4,
2,
2,
7,
4,
3,
2,
3,
1,
2,
1,
4,
4,
2,
2,
4,
4,
3,
3,
2,
4,
4,
3,
4,
4,
2,
2,
3,
2,
4,
5,
4,
4,
4,
2,
4,
3,
3,
3,
4,
3,
3,
2,
4,
5,
3,
3,
3,
4,
3,
3,
2,
3,
2,
4,
4,
2,
4,
4,
2,
4,
4,
3,
2,
6,
4,
2,
4,
2,
4,
3,
2,
2,
3,
2,
4,
4,
3,
3,
2,
2,
2,
2,
6,
4,
5,
3,
2,
2,
2,
2,
2,
4,
5,
3,
2,
4,
2,
5,
3,
4,
2,
3,
2,
5,
4,
1,
2,
5,
6,
5,
3,
6,
4,
2,
2,
3,
4,
5,
4,
2,
2,
2,
3,
2,
2,
3,
4,
4,
5,
2,
4,
2,
1,
3,
3,
2,
2,
4,
2,
3,
7,
3,
3,
4,
4,
4,
4,
3,
4,
4,
5,
5,
5,
5,
3,
6,
2,
2,
2,
3,
2,
2,
3,
2,
4,
4,
4,
2,
4,
2,
3,
3,
3,
3,
3,
3,
6,
2,
2,
2,
2,
3,
3,
5,
3,
3,
3,
3,
2,
4,
2,
3,
3,
3,
3,
3,
5,
3,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
2,
3,
4,
2,
1,
4,
2,
2,
4,
4,
2,
4,
4,
4,
3,
4,
5,
1,
4,
3,
3,
3,
4,
2,
2,
4,
2,
4,
3,
4,
4,
4,
2,
3,
4,
4,
6,
4,
2,
4,
4,
3,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
4,
3,
3,
4,
2,
3,
6,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
6,
5,
3,
3,
3,
2,
2,
2,
3,
3,
4,
2,
8,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
3,
2,
3,
2,
4,
5,
4,
4,
2,
1,
4,
3,
3,
3,
4,
4,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
3,
3,
3,
6,
1,
2,
2,
2,
3,
2,
3,
4,
4,
4,
4,
3,
4,
3,
2,
2,
2,
3,
3,
3,
3,
2,
4,
4,
2,
2,
3,
4,
4,
5,
3,
2,
3,
3,
3,
4,
1,
4,
2,
4,
2,
2,
2,
4,
4,
3,
4,
4,
4,
2,
5,
2,
4,
3,
3,
2,
3,
3,
3,
3,
4,
4,
1,
5,
1,
3,
2,
4,
4,
4,
2,
3,
3,
3,
3,
1,
4,
2,
2,
3,
1,
2,
2,
3,
2,
5,
5,
2,
3,
1,
2,
2,
6,
2,
4,
4,
2,
2,
6,
2,
3,
3,
3,
3,
3,
3,
4,
2,
3,
2,
1,
1,
3,
3,
4,
2,
2,
2,
5,
3,
2,
1,
2,
4,
2,
2,
2,
4,
4,
5,
4,
2,
4,
4,
2,
4,
2,
3,
4,
4,
2,
5,
2,
2,
4,
2,
6,
2,
2,
4,
4,
2,
3,
3,
2,
2,
4,
2,
4,
3,
4,
2,
2,
4,
5,
4,
4,
4,
2,
4,
3,
6,
4,
4,
5,
2,
3,
3,
5,
3,
3,
2,
2,
2,
3,
2,
4,
3,
3,
4,
3,
3,
4,
2,
2,
2,
2,
3,
5,
5,
4,
4,
4,
2,
2,
3,
4,
3,
1,
4,
2,
4,
4,
2,
4,
3,
3,
4,
2,
4,
3,
4,
4,
4,
5,
4,
3,
4,
4,
4,
4,
4,
3,
4,
4,
5,
2,
2,
3,
4,
3,
2,
2,
2,
4,
2,
4,
4,
2,
2,
3,
2,
4,
3,
2,
2,
4,
2,
4,
2,
4,
4,
2,
4,
3,
2,
2,
4,
3,
2,
4,
2,
4,
4,
4,
4,
3,
2,
4,
2,
2,
3,
2,
3,
3,
4,
4,
3,
4,
5,
3,
3,
2,
3,
3,
3,
3,
2,
5,
5,
5,
3,
2,
2,
2,
2,
2,
5,
1,
2,
4,
1,
6,
1,
3,
4,
7,
2,
8,
2,
3,
3,
2,
2,
4,
3,
4,
2,
3,
2,
3,
2,
4,
2,
3,
4,
2,
3,
4,
2,
4,
4,
4,
2,
2,
2,
5,
2,
3,
3,
3,
3,
3,
2,
2,
3,
3,
4,
3,
4,
4,
2,
2,
2,
4,
3,
3,
4,
4,
2,
4,
4,
3,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
4,
4,
4,
5,
4,
2,
2,
3,
2,
4,
3,
1,
3,
4,
2,
2,
4,
4,
4,
4,
3,
3,
3,
4,
4,
6,
4,
2,
2,
4,
4,
2,
2,
6,
6,
3,
3,
2,
2,
2,
2,
3,
4,
4,
3,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
3,
2,
4,
2,
4,
2,
2,
4,
4,
2,
2,
4,
4,
3,
3,
3,
2,
2,
5,
3,
1,
4,
2,
3,
2,
4,
4,
4,
4,
4,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
5,
5,
5,
4,
2,
5,
2,
2,
5,
3,
3,
5,
5,
3,
5,
3,
8,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
5,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
3,
2,
2,
3,
2,
4,
5,
4,
4,
3,
4,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
5,
2,
3,
3,
4,
5,
5,
3,
9,
3,
2,
2,
3,
3,
4,
3,
2,
3,
2,
3,
2,
2,
4,
4,
3,
5,
6,
4,
3,
2,
5,
4,
2,
3,
2,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
5,
5,
5,
2,
4,
3,
3,
3,
3,
3,
2,
4,
3,
3,
2,
4,
4,
2,
3,
2,
2,
3,
2,
2,
2,
3,
2,
3,
2,
4,
4,
2,
3,
8,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
3,
2,
3,
2,
3,
4,
3,
2,
3,
3,
1,
3,
6,
2,
2,
2,
3,
2,
3,
2,
2,
3,
3,
4,
2,
2,
2,
2,
3,
2,
3,
3,
5,
5,
3,
2,
2,
6,
2,
2,
2,
3,
4,
6,
3,
4,
4,
1,
2,
2,
4,
2,
1,
3,
2,
3,
3,
2,
2,
4,
3,
4,
5,
3,
3,
3,
5,
7,
3,
2,
2,
2,
5,
4,
2,
2,
3,
5,
2,
2,
2,
3,
5,
4,
1,
2,
2,
2,
2,
9,
2,
3,
3,
3,
4,
2,
2,
3,
3,
3,
2,
1,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
1,
2,
1,
3,
3,
2,
2,
2,
2,
3,
3,
2,
3,
4,
5,
3,
3,
2,
2,
2,
2,
2,
1,
4,
2,
5,
5,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
2,
1,
2,
3,
3,
3,
4,
4,
4,
3,
2,
3,
3,
2,
3,
3,
3,
2,
4,
4,
3,
3,
4,
3,
3,
5,
2,
2,
2,
2,
5,
3,
2,
4,
4,
2,
2,
3,
2,
2,
3,
4,
2,
2,
3,
4,
3,
4,
4,
4,
3,
2,
2,
2,
4,
4,
3,
2,
4,
2,
1,
2,
2,
1,
2,
2,
4,
4,
2,
2,
4,
4,
3,
3,
3,
4,
2,
2,
2,
2,
4,
3,
4,
5,
3,
2,
4,
4,
4,
3,
4,
4,
8,
3,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
2,
3,
3,
3,
4,
3,
1,
3,
3,
5,
3,
3,
2,
2,
1,
2,
2,
3,
3,
3,
5,
2,
3,
4,
3,
2,
2,
4,
2,
3,
5,
2,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
5,
3,
6,
3,
4,
2,
3,
3,
2,
2,
3,
2,
4,
2,
2,
3,
2,
5,
3,
4,
2,
3,
2,
2,
2,
4,
3,
3,
3,
2,
2,
3,
4,
4,
2,
4,
3,
4,
2,
4,
3,
2,
4,
3,
3,
4,
4,
4,
4,
4,
6,
2,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
6,
5,
4,
6,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
5,
6,
4,
4,
2,
4,
2,
4,
2,
3,
2,
3,
7,
2,
2,
6,
4,
4,
3,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
4,
2,
2,
2,
3,
3,
3,
2,
2,
4,
3,
3,
3,
2,
2,
2,
2,
2,
3,
4,
2,
2,
6,
3,
3,
3,
2,
3,
4,
2,
3,
4,
3,
3,
4,
4,
4,
5,
5,
4,
2,
3,
2,
3,
6,
4,
4,
5,
6,
4,
3,
3,
4,
3,
3,
5,
3,
2,
2,
2,
2,
2,
4,
2,
3,
2,
5,
2,
3,
4,
5,
3,
3,
2,
3,
3,
4,
3,
3,
4,
4,
4,
3,
2,
4,
6,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
1,
2,
3,
6,
4,
2,
2,
2,
2,
4,
3,
2,
2,
4,
4,
2,
3,
2,
8,
5,
2,
2,
2,
4,
1,
4,
3,
3,
3,
5,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
4,
4,
4,
3,
5,
2,
4,
4,
3,
3,
5,
4,
2,
5,
4,
2,
4,
1,
2,
2,
4,
2,
3,
5,
3,
2,
2,
2,
4,
2,
3,
2,
2,
3,
4,
4,
3,
3,
3,
3,
2,
3,
3,
2,
3,
7,
6,
3,
3,
3,
2,
3,
2,
2,
6,
2,
5,
3,
2,
4,
4,
2,
5,
5,
2,
4,
3,
3,
5,
3,
3,
2,
5,
3,
2,
2,
2,
2,
6,
3,
4,
4,
7,
3,
3,
4,
2,
3,
3,
1,
3,
2,
1,
4,
3,
3,
3,
3,
5,
2,
2,
2,
2,
3,
2,
1,
3,
2,
3,
3,
2,
3,
4,
5,
2,
3,
4,
4,
3,
5,
2,
4,
3,
4,
4,
3,
3,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
6,
3,
4,
4,
2,
3,
3,
2,
2,
3,
4,
4,
4,
4,
5,
3,
4,
2,
3,
2,
3,
3,
8,
2,
2,
2,
3,
4,
2,
3,
2,
2,
2,
5,
2,
2,
2,
2,
2,
3,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
6,
2,
3,
3,
3,
3,
3,
3,
4,
4,
6,
4,
5,
3,
2,
3,
2,
4,
2,
4,
2,
4,
4,
3,
2,
4,
2,
2,
3,
3,
3,
2,
4,
2,
3,
4,
2,
1,
4,
2,
3,
2,
5,
2,
3,
3,
5,
2,
4,
3,
4,
3,
4,
2,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
4,
5,
5,
2,
2,
3,
2,
2,
2,
1,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
3,
3,
4,
5,
5,
2,
3,
4,
2,
4,
4,
2,
2,
3,
2,
4,
2,
4,
5,
4,
2,
2,
5,
3,
2,
4,
5,
2,
2,
3,
2,
2,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
7,
6,
6,
3,
4,
4,
2,
5,
2,
2,
3,
2,
2,
4,
1,
2,
2,
3,
5,
4,
2,
5,
4,
4,
5,
4,
4,
3,
3,
3,
4,
3,
2,
3,
5,
5,
3,
5,
3,
4,
3,
5,
5,
3,
3,
2,
2,
2,
3,
2,
5,
4,
4,
4,
4,
5,
2,
4,
5,
3,
3,
4,
3,
3,
2,
6,
2,
2,
3,
3,
3,
3,
2,
4,
4,
2,
4,
2,
4,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
2,
3,
4,
3,
5,
5,
5,
4,
4,
3,
4,
3,
3,
3,
1,
3,
3,
3,
3,
2,
4,
3,
6,
4,
2,
2,
2,
2,
6,
3,
4,
4,
2,
4,
3,
5,
2,
2,
2,
3,
1,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
6,
3,
3,
4,
4,
3,
4,
4,
6,
6,
6,
3,
3,
2,
4,
3,
2,
2,
2,
3,
4,
2,
2,
3,
4,
4,
8,
3,
4,
3,
2,
3,
4,
6,
2,
3,
3,
4,
2,
4,
4,
3,
3,
5,
3,
3,
4,
3,
3,
4,
3,
3,
2,
2,
4,
2,
2,
4,
2,
2,
4,
4,
3,
2,
2,
4,
2,
2,
4,
4,
3,
5,
5,
1,
2,
4,
4,
3,
3,
4,
5,
4,
4,
2,
2,
4,
4,
4,
5,
4,
4,
5,
2,
4,
3,
2,
3,
3,
4,
6,
4,
3,
2,
2,
4,
8,
5,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
7,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
5,
6,
2,
2,
2,
3,
2,
3,
4,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
2,
3,
2,
2,
2,
3,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
4,
4,
4,
3,
4,
2,
3,
4,
4,
4,
4,
4,
3,
4,
2,
3,
3,
2,
2,
3,
2,
2,
2,
3,
4,
2,
2,
2,
4,
6,
4,
4,
4,
2,
2,
2,
4,
2,
3,
5,
3,
4,
1,
5,
2,
5,
3,
3,
3,
2,
3,
1,
3,
5,
3,
2,
2,
2,
2,
3,
2,
2,
2,
3,
4,
2,
2,
4,
4,
4,
5,
3,
4,
4,
2,
5,
4,
4,
5,
4,
4,
3,
4,
3,
4,
2,
4,
2,
2,
3,
2,
2,
1,
3,
7,
4,
5,
3,
4,
2,
4,
4,
2,
5,
4,
3,
3,
4,
4,
8,
2,
4,
3,
4,
3,
2,
4,
3,
6,
4,
4,
4,
5,
4,
2,
4,
4,
2,
2,
3,
3,
5,
4,
2,
3,
3,
4,
3,
3,
3,
7,
4,
4,
5,
2,
4,
2,
5,
2,
2,
6,
2,
3,
6,
3,
4,
3,
2,
3,
3,
2,
3,
3,
2,
4,
5,
2,
4,
4,
5,
2,
2,
4,
3,
4,
4,
2,
2,
2,
2,
7,
2,
4,
3,
4,
3,
2,
3,
4,
2,
3,
2,
2,
4,
5,
4,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
7,
4,
4,
2,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
8,
3,
2,
3,
2,
4,
2,
3,
2,
5,
4,
3,
3,
2,
2,
1,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
3,
4,
5,
4,
2,
3,
5,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
3,
4,
2,
4,
6,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
4,
5,
4,
3,
3,
3,
2,
3,
5,
3,
2,
2,
4,
3,
3,
2,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
3,
2,
4,
4,
4,
4,
4,
5,
3,
5,
3,
4,
4,
2,
2,
3,
3,
2,
2,
2,
3,
2,
3,
4,
2,
2,
4,
4,
5,
4,
4,
3,
4,
3,
4,
4,
2,
2,
3,
3,
2,
2,
2,
4,
3,
4,
3,
2,
4,
3,
4,
5,
3,
4,
4,
4,
4,
3,
2,
2,
6,
2,
3,
3,
3,
3,
3,
2,
4,
3,
4,
8,
2,
5,
3,
3,
7,
3,
2,
3,
4,
2,
3,
4,
3,
2,
5,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
2,
3,
2,
2,
3,
2,
8,
4,
3,
2,
1,
3,
2,
2,
2,
2,
2,
2,
3,
5,
2,
4,
2,
2,
3,
4,
4,
4,
2,
3,
4,
2,
3,
3,
5,
3,
3,
4,
5,
1,
3,
6,
3,
3,
3,
3,
4,
3,
3,
2,
2,
5,
2,
4,
2,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
4,
2,
2,
2,
2,
3,
2,
6,
2,
2,
3,
2,
2,
1,
2,
2,
2,
2,
3,
2,
2,
3,
4,
5,
2,
3,
2,
4,
2,
2,
2,
3,
4,
3,
4,
4,
2,
5,
2,
2,
3,
1,
3,
2,
2,
6,
2,
2,
3,
3,
3,
3,
3,
3,
6,
1,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
1,
4,
3,
5,
3,
4,
6,
4,
4,
3,
3,
2,
3,
3,
4,
3,
2,
2,
2,
3,
3,
2,
4,
2,
2,
2,
5,
4,
2,
4,
6,
2,
2,
2,
3,
2,
2,
4,
3,
2,
3,
3,
4,
3,
3,
3,
3,
2,
2,
3,
2,
3,
4,
2,
4,
4,
4,
3,
2,
5,
4,
3,
4,
5,
5,
3,
3,
3,
2,
3,
3,
3,
2,
6,
2,
4,
4,
4,
2,
3,
2,
3,
4,
3,
2,
2,
2,
2,
4,
3,
2,
3,
3,
2,
2,
3,
5,
5,
3,
5,
4,
3,
3,
6,
4,
3,
2,
4,
2,
4,
2,
2,
4,
2,
3,
4,
3,
2,
3,
5,
3,
4,
5,
3,
4,
2,
3,
2,
2,
3,
7,
3,
4,
4,
4,
4,
2,
2,
4,
4,
3,
2,
3,
3,
2,
3,
5,
3,
3,
3,
2,
2,
3,
3,
3,
3,
1,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
3,
2,
4,
3,
4,
3,
6,
4,
2,
4,
2,
4,
4,
4,
3,
2,
4,
7,
4,
2,
5,
5,
4,
2,
2,
3,
5,
3,
2,
2,
2,
3,
3,
4,
2,
1,
2,
3,
2,
2,
4,
3,
4,
1,
4,
4,
2,
3,
2,
4,
5,
2,
4,
3,
3,
2,
2,
3,
3,
3,
3,
2,
2,
4,
4,
2,
2,
2,
3,
2,
3,
3,
5,
3,
2,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
3,
2,
3,
3,
4,
2,
2,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
3,
4,
4,
4,
2,
4,
3,
3,
4,
3,
3,
4,
2,
4,
3,
5,
3,
3,
5,
4,
4,
4,
3,
4,
2,
5,
5,
5,
2,
1,
2,
2,
2,
2,
3,
4,
4,
2,
4,
6,
4,
5,
1,
5,
5,
4,
3,
4,
1,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
2,
6,
6,
4,
3,
2,
3,
3,
4,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
1,
4,
3,
4,
4,
3,
4,
2,
2,
2,
3,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
5,
4,
5,
4,
4,
5,
4,
5,
3,
3,
2,
2,
4,
4,
4,
4,
3,
2,
3,
3,
3,
2,
4,
2,
6,
3,
2,
2,
4,
4,
3,
3,
3,
3,
4,
4,
2,
4,
3,
1,
2,
4,
4,
4,
4,
2,
2,
2,
3,
5,
4,
3,
4,
4,
3,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
6,
6,
2,
2,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
3,
2,
4,
4,
2,
2,
5,
5,
4,
3,
4,
2,
2,
2,
3,
3,
5,
5,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
5,
3,
3,
3,
3,
2,
2,
4,
2,
2,
4,
3,
3,
3,
3,
2,
4,
4,
6,
6,
3,
2,
2,
3,
3,
2,
3,
4,
3,
3,
4,
5,
3,
3,
3,
2,
2,
2,
3,
1,
4,
3,
3,
4,
3,
3,
2,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
2,
2,
2,
3,
3,
3,
3,
3,
2,
4,
3,
3,
3,
4,
4,
3,
4,
2,
2,
5,
2,
3,
3,
5,
3,
2,
2,
2,
3,
3,
5,
2,
4,
4,
4,
3,
2,
3,
4,
2,
1,
1,
2,
1,
1,
2,
2,
3,
3,
3,
2,
5,
3,
2,
3,
3,
3,
2,
2,
6,
3,
4,
6,
6,
2,
2,
2,
4,
5,
2,
2,
4,
2,
2,
2,
2,
3,
4,
4,
2,
4,
2,
3,
4,
4,
4,
2,
2,
3,
3,
2,
3,
2,
3,
2,
4,
2,
4,
3,
3,
1,
4,
4,
2,
4,
2,
2,
2,
4,
6,
4,
2,
4,
2,
2,
3,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
6,
2,
5,
2,
3,
4,
3,
3,
3,
3,
4,
3,
6,
4,
4,
4,
2,
3,
6,
2,
2,
2,
3,
4,
2,
3,
3,
3,
2,
2,
3,
3,
4,
4,
4,
4,
3,
5,
2,
4,
6,
2,
3,
2,
3,
3,
5,
5,
3,
3,
4,
3,
4,
4,
5,
3,
3,
3,
2,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
4,
2,
6,
4,
5,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
3,
3,
4,
7,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
5,
6,
4,
5,
3,
4,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
5,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
4,
2,
3,
5,
5,
3,
4,
4,
3,
3,
5,
4,
3,
3,
1,
5,
2,
4,
4,
2,
2,
2,
3,
2,
2,
2,
5,
2,
3,
2,
3,
2,
1,
3,
2,
4,
2,
4,
3,
4,
2,
3,
3,
5,
4,
3,
2,
2,
3,
2,
3,
2,
4,
7,
4,
4,
4,
4,
4,
6,
2,
2,
5,
2,
2,
2,
3,
4,
3,
2,
4,
2,
2,
2,
2,
4,
4,
4,
3,
2,
2,
4,
3,
2,
3,
2,
3,
3,
2,
6,
3,
2,
4,
3,
3,
2,
2,
5,
3,
6,
4,
2,
2,
2,
3,
2,
2,
4,
3,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
3,
4,
5,
5,
3,
4,
5,
3,
4,
4,
4,
4,
3,
4,
4,
7,
4,
6,
4,
3,
4,
4,
4,
4,
2,
2,
4,
2,
2,
2,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
5,
3,
4,
2,
3,
4,
3,
3,
4,
4,
4,
2,
3,
3,
3,
3,
3,
6,
3,
3,
3,
3,
2,
2,
3,
4,
3,
3,
3,
3,
2,
3,
2,
2,
2,
5,
4,
2,
2,
4,
3,
3,
3,
2,
3,
8,
2,
2,
1,
2,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
4,
2,
5,
2,
3,
4,
3,
4,
3,
2,
1,
4,
2,
3,
4,
2,
2,
2,
2,
4,
4,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
1,
1,
1,
2,
1,
5,
5,
3,
4,
4,
2,
3,
4,
4,
4,
5,
6,
6,
2,
4,
4,
2,
4,
3,
4,
4,
4,
4,
5,
4,
1,
5,
4,
4,
3,
2,
4,
4,
4,
2,
3,
4,
4,
2,
2,
4,
3,
2,
3,
3,
5,
3,
2,
2,
2,
2,
4,
4,
2,
3,
3,
4,
5,
5,
4,
2,
6,
4,
2,
2,
2,
5,
3,
2,
2,
2,
2,
1,
2,
3,
3,
2,
2,
2,
3,
2,
4,
3,
4,
3,
2,
2,
4,
3,
2,
5,
1,
2,
3,
2,
6,
3,
2,
3,
2,
2,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
4,
4,
4,
3,
3,
5,
5,
4,
4,
4,
4,
3,
6,
4,
4,
2,
2,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
5,
3,
3,
2,
2,
7,
6,
4,
4,
2,
3,
5,
4,
4,
4,
6,
4,
4,
4,
4,
4,
5,
2,
2,
3,
3,
3,
2,
2,
3,
2,
3,
2,
7,
2,
3,
3,
2,
3,
2,
2,
3,
2,
3,
3,
3,
2,
3,
6,
3,
3,
3,
3,
5,
6,
2,
4,
4,
3,
4,
3,
2,
2,
3,
4,
3,
8,
2,
2,
2,
3,
2,
2,
7,
1,
2,
2,
2,
4,
4,
4,
2,
2,
4,
2,
2,
2,
4,
2,
4,
3,
3,
3,
4,
2,
4,
3,
4,
4,
3,
2,
2,
5,
5,
3,
4,
3,
3,
2,
4,
4,
2,
5,
2,
3,
3,
3,
3,
3,
3,
3,
4,
5,
3,
3,
7,
3,
4,
3,
2,
2,
2,
3,
3,
4,
3,
4,
3,
3,
3,
3,
3,
3,
2,
5,
5,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
2,
2,
2,
5,
4,
4,
2,
4,
3,
3,
3,
3,
5,
5,
2,
2,
5,
2,
4,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
2,
3,
2,
3,
3,
3,
2,
2,
2,
4,
4,
9,
4,
4,
3,
3,
3,
2,
2,
3,
8,
3,
4,
3,
3,
6,
5,
2,
2,
2,
4,
2,
2,
3,
4,
3,
3,
2,
4,
2,
2,
4,
4,
2,
4,
2,
4,
4,
3,
2,
2,
4,
4,
2,
2,
4,
3,
2,
2,
4,
2,
2,
4,
5,
2,
4,
6,
5,
3,
3,
3,
3,
2,
3,
3,
2,
2,
3,
4,
7,
5,
5,
3,
3,
3,
3,
2,
4,
3,
4,
5,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
4,
2,
3,
2,
2,
3,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
3,
4,
2,
5,
3,
4,
3,
2,
2,
4,
2,
2,
5,
5,
2,
3,
2,
4,
4,
4,
2,
2,
4,
2,
3,
2,
3,
2,
3,
3,
4,
4,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
2,
2,
4,
4,
3,
3,
2,
2,
2,
4,
4,
2,
2,
3,
4,
4,
4,
4,
2,
2,
3,
2,
3,
3,
2,
3,
2,
3,
2,
2,
4,
4,
3,
2,
5,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
4,
2,
4,
3,
3,
3,
2,
2,
3,
1,
3,
2,
2,
3,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
4,
2,
2,
4,
5,
3,
3,
5,
1,
3,
2,
3,
3,
4,
4,
4,
2,
4,
4,
3,
3,
3,
5,
3,
3,
2,
2,
4,
2,
3,
1,
4,
5,
3,
3,
4,
3,
2,
6,
5,
3,
2,
3,
3,
2,
2,
2,
2,
3,
5,
2,
2,
2,
2,
2,
2,
3,
3,
3,
1,
3,
3,
3,
2,
2,
2,
4,
3,
3,
2,
3,
3,
2,
5,
2,
2,
3,
2,
3,
4,
1,
2,
3,
2,
2,
3,
5,
3,
3,
3,
6,
4,
4,
4,
3,
3,
5,
3,
3,
4,
5,
6,
4,
4,
4,
2,
4,
4,
4,
2,
4,
3,
3,
4,
2,
2,
2,
2,
2,
3,
2,
2,
4,
3,
5,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
2,
2,
2,
3,
4,
2,
4,
4,
4,
2,
4,
2,
2,
3,
4,
6,
4,
5,
2,
2,
2,
2,
5,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
3,
2,
5,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
6,
4,
5,
2,
2,
3,
2,
4,
3,
2,
4,
2,
3,
3,
3,
5,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
3,
4,
5,
2,
3,
2,
2,
5,
5,
2,
3,
4,
2,
4,
4,
6,
4,
2,
2,
2,
3,
3,
4,
4,
4,
2,
4,
4,
5,
5,
5,
3,
7,
2,
2,
2,
4,
4,
4,
6,
1,
3,
2,
4,
4,
3,
2,
3,
3,
3,
3,
3,
4,
3,
4,
3,
3,
3,
4,
3,
4,
4,
4,
2,
2,
4,
1,
2,
5,
5,
4,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
4,
2,
2,
3,
2,
2,
2,
4,
3,
3,
4,
2,
5,
2,
2,
3,
3,
2,
3,
3,
2,
2,
3,
3,
2,
2,
2,
3,
4,
3,
3,
3,
4,
4,
4,
6,
4,
4,
4,
4,
3,
3,
6,
6,
6,
5,
2,
4,
3,
2,
3,
4,
3,
6,
3,
3,
3,
3,
2,
2,
2,
2,
6,
4,
2,
3,
2,
2,
3,
6,
6,
4,
3,
2,
2,
2,
6,
3,
2,
4,
3,
2,
4,
4,
5,
4,
2,
2,
4,
3,
2,
2,
4,
4,
4,
2,
2,
4,
2,
3,
2,
2,
2,
3,
2,
2,
4,
3,
3,
2,
3,
3,
4,
3,
3,
3,
3,
2,
2,
3,
2,
3,
4,
3,
4,
3,
2,
2,
3,
3,
2,
4,
3,
2,
3,
2,
2,
2,
2,
2,
4,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
1,
1,
2,
2,
2,
2,
2,
2,
6,
4,
2,
3,
3,
3,
1,
3,
3,
1,
5,
4,
6,
6,
2,
1,
3,
2,
2,
2,
1,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
1,
3,
4,
4,
4,
2,
2,
2,
3,
2,
3,
2,
2,
2,
4,
1,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
3,
2,
2,
3,
7,
1,
3,
3,
3,
4,
6,
3,
2,
3,
3,
3,
4,
3,
2,
2,
2,
2,
5,
2,
2,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
2,
2,
2,
3,
2,
3,
3,
3,
2,
4,
4,
3,
2,
3,
2,
2,
2,
2,
2,
4,
2,
3,
6,
4,
2,
3,
3,
2,
2,
4,
4,
3,
2,
3,
4,
2,
3,
2,
3,
1,
2,
3,
4,
4,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
2,
4,
4,
2,
4,
4,
2,
2,
2,
3,
4,
3,
2,
4,
4,
3,
1,
4,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
6,
3,
4,
4,
3,
4,
3,
3,
5,
3,
3,
3,
3,
3,
4,
5,
3,
4,
2,
2,
3,
2,
2,
3,
4,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
5,
3,
2,
3,
2,
2,
3,
3,
2,
2,
4,
3,
2,
4,
1,
3,
4,
2,
2,
4,
2,
2,
2,
4,
2,
2,
2,
3,
2,
3,
3,
3,
3,
5,
3,
2,
5,
4,
2,
7,
6,
6,
5,
3,
4,
2,
2,
5,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
2,
5,
5,
6,
4,
3,
3,
2,
4,
4,
2,
3,
5,
4,
5,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
6,
3,
3,
4,
3,
4,
3,
2,
3,
4,
3,
5,
5,
2,
2,
2,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
3,
6,
3,
3,
5,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
3,
2,
2,
3,
3,
2,
4,
2,
2,
2,
4,
3,
4,
4,
4,
3,
4,
4,
2,
4,
2,
3,
4,
4,
2,
2,
2,
4,
3,
4,
4,
2,
2,
3,
2,
3,
2,
3,
2,
2,
4,
3,
3,
2,
4,
2,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
4,
4,
3,
4,
2,
3,
4,
3,
2,
2,
2,
1,
3,
3,
6,
5,
3,
3,
3,
3,
2,
4,
3,
2,
3,
2,
1,
2,
2,
3,
2,
2,
2,
2,
3,
1,
3,
3,
3,
1,
3,
4,
4,
4,
3,
4,
4,
3,
3,
3,
3,
2,
3,
2,
2,
3,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
3,
7,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
5,
4,
2,
4,
5,
2,
2,
2,
7,
7,
2,
2,
2,
2,
2,
3,
2,
2,
4,
3,
3,
3,
3,
4,
5,
2,
4,
3,
3,
2,
4,
2,
3,
3,
3,
4,
4,
2,
2,
4,
2,
2,
3,
4,
4,
2,
2,
4,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
5,
3,
3,
4,
2,
4,
4,
2,
3,
2,
3,
3,
4,
2,
2,
4,
4,
3,
3,
3,
2,
2,
2,
4,
3,
4,
3,
4,
4,
3,
4,
2,
4,
3,
4,
2,
3,
2,
5,
3,
2,
3,
3,
2,
2,
2,
2,
4,
4,
2,
3,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
3,
5,
3,
2,
2,
2,
2,
4,
2,
4,
6,
4,
4,
2,
2,
3,
4,
4,
2,
4,
4,
2,
4,
3,
3,
3,
2,
2,
2,
5,
4,
4,
5,
2,
2,
2,
3,
3,
4,
3,
2,
2,
4,
2,
4,
2,
4,
2,
2,
3,
3,
3,
2,
3,
4,
4,
2,
2,
2,
2,
1,
3,
1,
2,
3,
3,
4,
3,
3,
3,
3,
4,
4,
4,
3,
4,
6,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
2,
5,
3,
3,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
4,
4,
4,
2,
4,
3,
2,
3,
3,
3,
2,
5,
2,
1,
4,
2,
3,
2,
2,
1,
2,
4,
2,
2,
3,
2,
3,
4,
3,
5,
3,
3,
4,
4,
3,
3,
4,
3,
4,
5,
3,
3,
3,
2,
2,
4,
4,
4,
3,
3,
4,
4,
2,
2,
3,
2,
5,
3,
3,
4,
4,
4,
2,
2,
2,
4,
2,
3,
2,
2,
2,
2,
2,
3,
1,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
3,
4,
3,
4,
4,
4,
4,
7,
5,
2,
4,
4,
3,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
5,
4,
4,
2,
2,
2,
2,
4,
2,
3,
3,
3,
2,
3,
3,
7,
2,
2,
5,
4,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
4,
4,
3,
3,
4,
4,
4,
5,
3,
5,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
2,
1,
3,
3,
2,
2,
5,
3,
3,
4,
4,
4,
6,
4,
2,
2,
4,
6,
5,
3,
3,
2,
4,
5,
2,
4,
3,
5,
4,
5,
2,
2,
2,
5,
7,
4,
3,
3,
2,
4,
3,
3,
2,
2,
2,
4,
5,
3,
5,
4,
4,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
4,
3,
2,
5,
2,
1,
2,
4,
3,
4,
4,
2,
2,
2,
6,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
3,
1,
2,
7,
4,
3,
3,
4,
3,
3,
4,
7,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
4,
4,
3,
2,
4,
3,
4,
4,
4,
4,
2,
5,
3,
4,
2,
2,
4,
4,
2,
2,
5,
2,
2,
5,
4,
3,
3,
2,
3,
3,
3,
4,
4,
5,
2,
3,
3,
2,
3,
4,
2,
3,
3,
9,
4,
5,
3,
5,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
5,
4,
3,
2,
4,
4,
4,
4,
3,
5,
2,
5,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
3,
3,
4,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
3,
4,
3,
2,
3,
3,
5,
4,
5,
4,
4,
3,
7,
2,
4,
2,
2,
6,
4,
3,
4,
2,
2,
2,
3,
2,
3,
3,
4,
3,
3,
2,
2,
6,
3,
5,
3,
3,
3,
2,
2,
4,
2,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
1,
2,
4,
4,
3,
5,
3,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
3,
4,
2,
2,
2,
2,
3,
2,
2,
3,
2,
4,
5,
4,
2,
2,
3,
2,
2,
4,
6,
4,
2,
3,
3,
5,
2,
2,
2,
2,
1,
3,
4,
3,
3,
3,
3,
1,
4,
2,
2,
2,
2,
2,
4,
4,
1,
4,
4,
3,
4,
4,
5,
3,
4,
4,
4,
2,
2,
3,
2,
3,
4,
3,
3,
4,
5,
4,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
5,
3,
6,
4,
4,
3,
3,
3,
3,
4,
2,
4,
2,
2,
3,
4,
5,
2,
3,
2,
2,
4,
3,
6,
4,
4,
4,
4,
2,
3,
2,
2,
2,
3,
2,
3,
4,
4,
3,
5,
3,
5,
5,
3,
3,
7,
3,
2,
2,
3,
2,
4,
4,
3,
2,
4,
2,
6,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
3,
5,
3,
2,
2,
4,
4,
3,
4,
2,
2,
4,
2,
3,
3,
3,
2,
2,
4,
4,
4,
2,
2,
2,
2,
3,
2,
3,
3,
4,
4,
5,
4,
4,
5,
2,
3,
4,
5,
3,
3,
3,
3,
4,
4,
5,
2,
2,
2,
2,
3,
3,
2,
3,
3,
6,
6,
4,
5,
4,
5,
3,
2,
2,
3,
2,
4,
3,
4,
2,
4,
4,
3,
3,
5,
4,
4,
4,
2,
2,
3,
2,
3,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
5,
4,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
1,
2,
2,
4,
4,
4,
4,
4,
4,
4,
5,
5,
2,
2,
4,
4,
2,
2,
2,
4,
4,
2,
3,
4,
4,
4,
4,
5,
4,
4,
2,
2,
4,
3,
1,
7,
2,
2,
4,
2,
2,
4,
4,
4,
4,
3,
4,
3,
2,
3,
3,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
9,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
1,
1,
2,
2,
3,
5,
4,
2,
2,
2,
3,
2,
4,
3,
3,
3,
2,
5,
3,
2,
2,
2,
3,
3,
2,
5,
4,
4,
4,
2,
2,
2,
2,
3,
4,
2,
2,
4,
4,
4,
2,
3,
6,
2,
4,
3,
3,
2,
3,
2,
4,
3,
5,
2,
2,
1,
3,
3,
2,
4,
2,
4,
2,
4,
4,
6,
2,
4,
4,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
5,
3,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
5,
4,
3,
4,
4,
2,
4,
2,
4,
4,
3,
6,
3,
6,
5,
4,
8,
5,
3,
3,
3,
4,
2,
2,
2,
2,
2,
1,
4,
2,
3,
4,
5,
4,
2,
2,
4,
4,
4,
2,
2,
3,
6,
4,
4,
2,
9,
4,
5,
2,
4,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
2,
2,
2,
3,
3,
2,
1,
3,
3,
4,
3,
2,
1,
3,
2,
2,
4,
6,
2,
2,
2,
2,
2,
2,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
2,
2,
5,
3,
4,
6,
2,
1,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
2,
5,
3,
4,
4,
2,
3,
4,
2,
2,
2,
4,
4,
4,
5,
4,
2,
2,
4,
4,
4,
4,
4,
6,
2,
2,
5,
3,
3,
1,
3,
3,
3,
3,
4,
2,
2,
2,
3,
3,
1,
2,
1,
4,
1,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
2,
3,
4,
3,
3,
4,
4,
2,
5,
4,
6,
2,
3,
4,
4,
2,
2,
3,
2,
2,
2,
4,
2,
3,
3,
2,
5,
3,
2,
4,
2,
3,
3,
3,
1,
3,
3,
4,
5,
5,
5,
2,
2,
4,
3,
2,
3,
2,
2,
2,
6,
2,
4,
2,
4,
4,
4,
2,
5,
3,
4,
4,
4,
4,
3,
4,
2,
4,
4,
3,
2,
2,
1,
3,
3,
5,
2,
3,
4,
2,
4,
2,
1,
2,
2,
4,
4,
5,
3,
3,
3,
2,
2,
2,
4,
3,
3,
4,
2,
3,
3,
4,
3,
2,
2,
2,
4,
3,
6,
4,
2,
4,
5,
4,
4,
4,
2,
2,
4,
2,
3,
2,
3,
4,
4,
4,
2,
2,
4,
5,
2,
4,
3,
4,
4,
2,
2,
4,
3,
4,
2,
3,
1,
3,
3,
2,
2,
2,
1,
2,
2,
2,
2,
3,
2,
2,
5,
4,
2,
2,
5,
2,
4,
3,
3,
4,
4,
3,
4,
4,
4,
3,
2,
3,
3,
2,
2,
3,
4,
3,
3,
4,
2,
3,
1,
4,
2,
2,
3,
4,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
2,
3,
4,
2,
4,
4,
5,
2,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
2,
6,
4,
4,
3,
2,
3,
4,
2,
3,
3,
5,
3,
2,
2,
4,
5,
2,
2,
2,
5,
3,
4,
4,
4,
4,
3,
5,
7,
2,
4,
2,
4,
4,
2,
4,
3,
2,
2,
2,
2,
2,
4,
3,
3,
2,
4,
4,
4,
5,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
4,
4,
4,
2,
2,
2,
2,
3,
3,
2,
1,
3,
3,
3,
2,
3,
2,
2,
4,
3,
5,
3,
2,
3,
4,
2,
4,
2,
2,
2,
2,
4,
2,
2,
3,
3,
4,
4,
3,
3,
4,
3,
4,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
7,
6,
6,
3,
3,
4,
4,
2,
4,
3,
3,
5,
2,
4,
2,
2,
5,
5,
3,
2,
3,
4,
4,
2,
5,
3,
3,
4,
2,
2,
2,
4,
5,
2,
2,
3,
2,
3,
3,
4,
3,
3,
3,
2,
4,
3,
3,
3,
4,
4,
3,
3,
4,
3,
2,
7,
6,
2,
4,
3,
3,
6,
5,
4,
4,
5,
6,
3,
3,
4,
2,
2,
2,
3,
2,
3,
4,
3,
3,
3,
3,
3,
3,
2,
4,
2,
6,
3,
2,
5,
3,
4,
1,
1,
3,
3,
1,
1,
1,
3,
2,
4,
4,
2,
3,
2,
2,
4,
2,
2,
2,
4,
4,
4,
4,
3,
2,
3,
3,
2,
2,
5,
5,
3,
2,
2,
2,
3,
4,
4,
3,
2,
5,
2,
2,
4,
2,
5,
2,
4,
2,
2,
4,
4,
2,
1,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
6,
4,
4,
4,
5,
5,
4,
4,
3,
3,
5,
4,
3,
4,
3,
3,
3,
2,
4,
2,
3,
2,
1,
4,
3,
3,
4,
2,
2,
4,
3,
2,
2,
2,
4,
4,
4,
2,
3,
2,
3,
4,
3,
4,
3,
2,
2,
3,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
7,
5,
5,
4,
5,
2,
2,
4,
2,
4,
2,
3,
4,
4,
4,
4,
3,
4,
2,
5,
2,
4,
5,
2,
2,
3,
2,
2,
2,
2,
2,
5,
4,
5,
4,
4,
4,
4,
5,
3,
3,
3,
3,
4,
3,
2,
3,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
3,
3,
3,
2,
2,
1,
2,
5,
4,
3,
3,
2,
3,
3,
5,
3,
3,
3,
6,
5,
3,
4,
2,
2,
2,
6,
4,
3,
3,
4,
4,
3,
3,
5,
4,
4,
4,
4,
3,
4,
2,
2,
3,
2,
3,
3,
2,
4,
2,
2,
4,
3,
2,
4,
2,
7,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
3,
4,
3,
2,
4,
6,
3,
4,
4,
4,
3,
2,
4,
4,
4,
2,
5,
3,
4,
7,
4,
4,
3,
2,
3,
2,
4,
3,
4,
2,
2,
2,
2,
1,
2,
4,
4,
3,
2,
4,
3,
4,
6,
4,
3,
4,
4,
3,
2,
2,
4,
3,
2,
4,
3,
3,
3,
2,
3,
3,
4,
4,
3,
2,
2,
4,
3,
2,
2,
3,
3,
3,
2,
2,
2,
4,
2,
4,
3,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
3,
4,
3,
2,
3,
4,
4,
5,
4,
4,
5,
2,
3,
3,
3,
4,
2,
4,
2,
2,
2,
6,
2,
4,
2,
2,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
3,
2,
2,
2,
4,
4,
3,
4,
2,
4,
4,
2,
5,
4,
4,
2,
5,
5,
2,
5,
5,
6,
3,
3,
2,
6,
4,
4,
4,
3,
4,
3,
1,
3,
4,
4,
5,
3,
4,
3,
3,
2,
3,
2,
6,
3,
3,
3,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
4,
3,
3,
3,
4,
4,
4,
4,
3,
2,
2,
2,
4,
2,
3,
2,
2,
2,
3,
4,
2,
2,
2,
3,
3,
2,
2,
4,
4,
3,
4,
2,
2,
2,
5,
2,
2,
3,
2,
2,
2,
4,
2,
3,
3,
2,
2,
2,
4,
4,
2,
2,
1,
3,
3,
4,
3,
3,
2,
4,
3,
4,
3,
2,
2,
4,
3,
2,
2,
3,
2,
3,
3,
4,
2,
3,
2,
2,
3,
4,
3,
3,
3,
4,
4,
3,
4,
2,
2,
2,
4,
5,
4,
4,
2,
2,
4,
4,
2,
4,
4,
2,
3,
2,
2,
2,
7,
2,
3,
3,
2,
4,
5,
2,
2,
4,
2,
4,
2,
5,
3,
7,
2,
2,
3,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
8,
8,
4,
2,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
5,
3,
3,
4,
4,
2,
2,
4,
4,
4,
2,
4,
5,
2,
3,
2,
5,
4,
4,
4,
2,
2,
4,
5,
3,
4,
3,
4,
3,
2,
3,
3,
2,
7,
3,
3,
1,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
3,
3,
2,
2,
2,
3,
4,
5,
4,
4,
4,
3,
2,
2,
5,
3,
4,
6,
5,
2,
2,
4,
5,
2,
2,
3,
3,
4,
2,
2,
3,
3,
3,
2,
4,
4,
4,
2,
3,
2,
4,
2,
4,
2,
4,
4,
4,
3,
3,
2,
3,
4,
4,
2,
2,
2,
3,
3,
1,
1,
2,
2,
4,
4,
2,
5,
4,
2,
3,
2,
3,
3,
7,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
3,
4,
4,
4,
4,
3,
3,
4,
3,
3,
3,
3,
6,
3,
2,
1,
3,
4,
3,
3,
3,
4,
4,
4,
4,
3,
4,
4,
2,
2,
2,
4,
3,
4,
2,
2,
4,
4,
6,
1,
2,
2,
3,
4,
4,
3,
3,
7,
2,
2,
3,
6,
7,
3,
7,
4,
4,
4,
4,
5,
5,
2,
2,
4,
4,
3,
2,
4,
5,
2,
4,
2,
4,
4,
3,
3,
2,
2,
3,
3,
3,
2,
1,
2,
2,
2,
3,
4,
3,
3,
2,
2,
2,
3,
4,
4,
4,
5,
4,
4,
3,
4,
4,
3,
2,
4,
3,
5,
3,
4,
4,
3,
2,
3,
4,
4,
4,
4,
3,
2,
3,
3,
5,
4,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
2,
3,
3,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
2,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
5,
2,
3,
5,
4,
3,
2,
2,
4,
5,
5,
7,
3,
3,
3,
1,
1,
3,
4,
2,
4,
2,
4,
4,
4,
4,
4,
2,
5,
2,
3,
4,
4,
2,
2,
3,
2,
4,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
3,
2,
4,
3,
3,
3,
4,
4,
3,
2,
4,
2,
2,
2,
1,
4,
2,
2,
4,
2,
2,
4,
4,
2,
2,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
4,
4,
7,
3,
2,
2,
3,
5,
5,
3,
2,
3,
4,
4,
2,
3,
3,
5,
4,
2,
3,
3,
4,
4,
3,
2,
3,
2,
2,
2,
4,
3,
3,
3,
3,
3,
7,
5,
2,
3,
3,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
3,
5,
2,
3,
2,
6,
3,
2,
2,
3,
3,
2,
3,
3,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
3,
4,
4,
2,
3,
4,
3,
4,
6,
2,
3,
1,
3,
2,
1,
2,
3,
2,
4,
5,
2,
4,
3,
3,
3,
3,
6,
3,
4,
4,
2,
2,
2,
3,
4,
2,
3,
3,
4,
3,
3,
3,
3,
3,
4,
4,
2,
3,
2,
2,
3,
3,
2,
4,
2,
3,
3,
3,
3,
2,
2,
3,
3,
5,
3,
4,
4,
3,
2,
3,
3,
5,
4,
3,
4,
1,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
2,
4,
5,
3,
3,
2,
3,
5,
5,
2,
3,
2,
3,
4,
4,
4,
2,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
5,
5,
3,
3,
6,
3,
3,
2,
4,
4,
4,
4,
4,
3,
4,
2,
4,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
9,
2,
4,
5,
4,
6,
2,
2,
5,
3,
2,
3,
7,
4,
3,
3,
3,
5,
2,
2,
3,
3,
2,
3,
6,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
5,
4,
4,
4,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
3,
4,
3,
4,
4,
3,
4,
4,
2,
3,
3,
3,
3,
5,
2,
2,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
2,
2,
5,
2,
4,
4,
2,
3,
3,
2,
2,
3,
3,
2,
3,
3,
3,
2,
3,
4,
3,
3,
4,
3,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
5,
2,
4,
3,
3,
5,
5,
2,
1,
4,
2,
5,
4,
4,
3,
4,
4,
2,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
3,
4,
3,
4,
4,
4,
2,
2,
2,
3,
2,
4,
4,
2,
3,
2,
3,
3,
1,
4,
4,
4,
4,
5,
2,
2,
2,
3,
3,
3,
2,
2,
3,
2,
3,
2,
2,
2,
4,
5,
5,
4,
2,
5,
5,
4,
2,
2,
2,
2,
3,
5,
5,
6,
2,
2,
3,
3,
3,
3,
2,
3,
5,
2,
2,
2,
4,
2,
4,
3,
2,
3,
3,
3,
3,
2,
4,
2,
4,
4,
3,
4,
4,
2,
3,
2,
2,
2,
4,
2,
3,
6,
2,
4,
3,
4,
3,
7,
2,
3,
3,
4,
2,
3,
3,
3,
4,
4,
3,
3,
2,
2,
5,
4,
2,
3,
4,
2,
1,
2,
6,
2,
2,
3,
2,
3,
5,
4,
6,
3,
2,
1,
4,
1,
2,
2,
2,
4,
3,
3,
2,
2,
2,
2,
2,
4,
2,
5,
8,
4,
4,
2,
3,
3,
4,
3,
5,
3,
3,
3,
3,
2,
5,
7,
5,
4,
4,
5,
3,
4,
3,
2,
3,
4,
3,
3,
3,
3,
2,
3,
5,
5,
3,
3,
2,
4,
3,
2,
4,
3,
6,
3,
4,
3,
4,
2,
4,
4,
5,
4,
2,
2,
7,
3,
2,
3,
4,
3,
3,
3,
3,
4,
4,
3,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
4,
4,
3,
5,
3,
2,
3,
7,
8,
3,
3,
2,
3,
4,
3,
4,
4,
5,
2,
4,
8,
2,
3,
4,
4,
5,
5,
2,
4,
4,
4,
4,
4,
4,
1,
2,
2,
3,
4,
3,
3,
4,
3,
2,
3,
3,
3,
4,
3,
4,
2,
5,
4,
4,
5,
3,
3,
4,
7,
3,
2,
2,
2,
4,
2,
2,
3,
2,
2,
2,
5,
4,
2,
2,
4,
4,
2,
5,
3,
3,
3,
3,
5,
2,
4,
4,
4,
4,
5,
5,
3,
2,
2,
2,
2,
1,
2,
3,
2,
2,
4,
3,
4,
4,
4,
5,
4,
6,
4,
4,
4,
4,
5,
4,
4,
4,
6,
4,
6,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
6,
5,
3,
2,
2,
2,
2,
3,
2,
3,
3,
2,
2,
3,
1,
3,
4,
3,
1,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
1,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
2,
3,
1,
3,
3,
1,
2,
2,
2,
3,
2,
6,
3,
2,
2,
2,
2,
3,
6,
2,
5,
2,
3,
2,
3,
3,
2,
2,
6,
3,
4,
3,
3,
2,
5,
2,
3,
3,
3,
3,
4,
3,
4,
3,
7,
7,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
6,
3,
2,
3,
3,
2,
4,
2,
4,
2,
5,
3,
4,
3,
7,
4,
4,
3,
4,
3,
3,
3,
3,
4,
2,
4,
2,
2,
4,
2,
2,
5,
3,
5,
4,
2,
2,
3,
3,
4,
3,
7,
2,
3,
4,
4,
3,
2,
2,
2,
3,
3,
2,
2,
6,
4,
4,
2,
2,
2,
2,
3,
4,
3,
4,
3,
2,
4,
4,
4,
5,
4,
3,
2,
4,
3,
5,
3,
3,
2,
6,
3,
3,
3,
2,
1,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
3,
3,
2,
2,
2,
4,
5,
3,
4,
4,
2,
2,
2,
3,
3,
3,
2,
2,
3,
4,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
1,
3,
2,
2,
4,
2,
3,
3,
3,
2,
3,
6,
9,
2,
4,
2,
2,
3,
3,
3,
2,
3,
2,
3,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
1,
2,
2,
1,
3,
3,
2,
4,
3,
5,
3,
3,
2,
3,
6,
1,
2,
3,
2,
3,
4,
3,
4,
4,
4,
4,
3,
4,
2,
2,
3,
5,
3,
3,
3,
4,
3,
2,
2,
2,
3,
2,
2,
5,
4,
4,
5,
5,
5,
2,
2,
2,
2,
5,
8,
3,
3,
3,
3,
3,
3,
2,
3,
4,
3,
2,
4,
2,
2,
3,
4,
4,
3,
2,
3,
4,
2,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
3,
1,
5,
2,
2,
3,
2,
3,
3,
3,
2,
4,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
5,
3,
2,
5,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
3,
4,
3,
1,
1,
2,
2,
3,
3,
2,
4,
3,
3,
2,
3,
3,
4,
2,
4,
4,
6,
4,
4,
3,
2,
2,
7,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
5,
3,
3,
3,
2,
3,
3,
2,
4,
5,
3,
3,
4,
4,
3,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
4,
2,
2,
4,
3,
2,
4,
2,
2,
2,
2,
2,
3,
2,
1,
3,
2,
2,
2,
2,
4,
4,
3,
4,
3,
2,
3,
4,
2,
4,
4,
3,
3,
3,
5,
3,
2,
3,
5,
4,
2,
2,
2,
3,
2,
2,
2,
2,
3,
5,
5,
4,
4,
2,
3,
6,
3,
4,
3,
5,
2,
4,
2,
2,
2,
1,
2,
2,
2,
7,
3,
4,
5,
3,
4,
2,
2,
3,
5,
3,
4,
3,
2,
4,
2,
2,
4,
4,
4,
5,
3,
4,
2,
4,
4,
4,
4,
2,
4,
4,
5,
4,
5,
4,
4,
3,
2,
2,
3,
3,
3,
3,
7,
7,
3,
3,
4,
3,
6,
3,
3,
4,
3,
1,
4,
2,
3,
5,
3,
2,
2,
2,
2,
5,
3,
2,
3,
5,
2,
4,
4,
3,
2,
4,
4,
2,
2,
2,
4,
3,
1,
1,
2,
3,
2,
5,
2,
4,
3,
4,
5,
4,
2,
3,
2,
5,
2,
4,
2,
4,
4,
2,
3,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
4,
3,
2,
2,
3,
2,
4,
2,
2,
2,
2,
3,
4,
2,
4,
7,
4,
4,
2,
6,
4,
4,
2,
4,
4,
2,
2,
3,
3,
5,
4,
2,
2,
4,
2,
2,
2,
3,
2,
5,
5,
8,
4,
5,
2,
2,
2,
2,
4,
2,
1,
2,
2,
2,
3,
2,
3,
3,
4,
2,
4,
4,
5,
3,
3,
3,
2,
3,
2,
4,
2,
2,
4,
2,
6,
3,
1,
2,
4,
4,
3,
4,
4,
4,
3,
3,
5,
3,
3,
4,
2,
2,
2,
4,
4,
3,
4,
4,
3,
4,
4,
3,
3,
2,
4,
2,
4,
2,
5,
5,
3,
4,
3,
2,
2,
4,
3,
4,
4,
2,
4,
5,
2,
3,
3,
4,
2,
3,
2,
4,
3,
2,
4,
3,
3,
4,
3,
5,
2,
2,
4,
4,
1,
2,
4,
4,
6,
3,
4,
2,
5,
2,
2,
4,
2,
5,
5,
2,
3,
4,
2,
2,
2,
4,
2,
4,
3,
3,
3,
4,
4,
2,
3,
5,
3,
3,
3,
2,
2,
2,
3,
2,
3,
3,
2,
5,
2,
3,
2,
3,
5,
2,
2,
5,
2,
5,
3,
2,
2,
3,
3,
3,
4,
4,
2,
3,
3,
3,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
3,
4,
6,
2,
3,
4,
5,
2,
2,
4,
3,
2,
3,
2,
2,
2,
2,
2,
4,
3,
2,
3,
2,
4,
3,
3,
4,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
3,
5,
5,
4,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
4,
2,
3,
2,
4,
4,
2,
4,
2,
2,
4,
4,
2,
4,
3,
5,
5,
5,
5,
5,
4,
3,
5,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
1,
3,
3,
3,
3,
4,
2,
3,
2,
3,
3,
2,
4,
4,
2,
2,
1,
2,
2,
2,
3,
2,
2,
4,
3,
4,
3,
2,
4,
2,
3,
3,
3,
5,
7,
4,
2,
2,
3,
5,
2,
5,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
4,
2,
3,
4,
4,
3,
5,
5,
3,
2,
6,
4,
4,
4,
3,
2,
4,
1,
4,
4,
4,
11,
4,
4,
7,
2,
3,
4,
4,
4,
3,
3,
3,
4,
2,
2,
4,
4,
4,
4,
4,
2,
3,
3,
2,
2,
2,
3,
4,
2,
2,
2,
2,
3,
4,
3,
3,
2,
3,
4,
3,
2,
2,
4,
3,
3,
3,
2,
5,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
5,
4,
5,
6,
2,
1,
2,
3,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
2,
4,
3,
3,
3,
4,
3,
2,
3,
6,
2,
4,
1,
5,
4,
4,
4,
3,
3,
2,
2,
3,
4,
3,
5,
5,
4,
4,
4,
5,
6,
5,
2,
2,
2,
3,
3,
4,
3,
1,
4,
3,
5,
2,
2,
4,
2,
1,
3,
4,
2,
3,
3,
4,
3,
3,
2,
4,
4,
4,
3,
3,
4,
4,
2,
3,
4,
3,
3,
2,
3,
5,
5,
3,
2,
2,
4,
4,
4,
4,
4,
1,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
3,
3,
5,
2,
5,
4,
3,
3,
3,
3,
4,
4,
4,
4,
3,
3,
2,
3,
3,
3,
5,
5,
2,
3,
3,
5,
4,
4,
4,
4,
3,
3,
2,
2,
3,
2,
3,
6,
3,
2,
3,
4,
3,
3,
4,
5,
3,
5,
3,
4,
4,
3,
4,
2,
4,
2,
5,
7,
5,
5,
2,
4,
3,
2,
3,
4,
2,
2,
2,
5,
3,
3,
2,
2,
4,
4,
4,
3,
4,
3,
4,
2,
4,
2,
4,
2,
2,
2,
1,
2,
4,
3,
3,
7,
3,
2,
1,
2,
2,
3,
3,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
2,
2,
2,
3,
2,
1,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
5,
2,
4,
2,
2,
2,
3,
3,
1,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
1,
4,
3,
2,
3,
2,
4,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
3,
3,
2,
2,
4,
1,
2,
2,
3,
3,
2,
3,
3,
4,
4,
4,
4,
3,
4,
2,
2,
3,
2,
4,
3,
2,
2,
4,
4,
4,
4,
4,
3,
6,
5,
3,
5,
4,
3,
2,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
1,
3,
3,
3,
3,
3,
4,
2,
3,
4,
3,
4,
2,
4,
2,
3,
4,
3,
4,
2,
3,
2,
1,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
3,
3,
4,
2,
3,
2,
2,
4,
4,
4,
2,
3,
4,
2,
4,
3,
4,
3,
4,
4,
1,
2,
2,
4,
2,
4,
4,
4,
2,
1,
3,
4,
4,
2,
2,
2,
2,
3,
3,
3,
4,
1,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
4,
3,
5,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
5,
3,
3,
3,
4,
3,
6,
7,
2,
2,
3,
4,
4,
4,
4,
4,
4,
2,
3,
2,
4,
1,
4,
2,
4,
2,
4,
4,
3,
2,
3,
3,
2,
2,
2,
3,
3,
5,
2,
5,
5,
3,
4,
3,
1,
2,
4,
3,
5,
3,
3,
2,
4,
4,
3,
7,
4,
3,
4,
2,
6,
3,
4,
2,
4,
2,
3,
2,
2,
2,
3,
4,
3,
3,
3,
3,
4,
3,
4,
4,
3,
4,
4,
3,
3,
3,
3,
3,
4,
4,
3,
4,
3,
2,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
6,
2,
2,
3,
3,
4,
4,
4,
4,
4,
2,
1,
5,
3,
3,
2,
3,
3,
3,
3,
4,
3,
2,
3,
4,
4,
4,
4,
6,
3,
5,
4,
8,
3,
2,
3,
5,
3,
3,
4,
4,
4,
2,
2,
2,
2,
4,
3,
4,
2,
4,
4,
5,
4,
4,
4,
6,
3,
2,
2,
2,
4,
1,
2,
2,
1,
2,
2,
2,
8,
4,
6,
3,
4,
2,
3,
2,
6,
2,
3,
3,
3,
2,
4,
4,
3,
8,
5,
7,
3,
3,
4,
2,
3,
4,
4,
4,
3,
3,
5,
2,
4,
2,
2,
2,
2,
4,
3,
3,
4,
1,
2,
2,
3,
5,
3,
3,
4,
4,
6,
2,
3,
4,
2,
2,
2,
2,
4,
2,
2,
3,
2,
4,
3,
2,
4,
4,
2,
4,
2,
4,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
6,
5,
4,
4,
2,
3,
3,
4,
4,
2,
4,
5,
4,
4,
4,
3,
3,
3,
5,
3,
3,
3,
3,
6,
4,
4,
4,
3,
2,
2,
4,
2,
4,
4,
4,
3,
4,
3,
5,
3,
3,
3,
3,
3,
3,
4,
4,
2,
1,
6,
3,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
4,
3,
3,
2,
2,
5,
2,
2,
3,
2,
2,
2,
4,
2,
3,
2,
2,
2,
4,
3,
3,
4,
3,
3,
2,
4,
3,
2,
2,
2,
2,
2,
3,
4,
2,
3,
3,
4,
2,
4,
2,
2,
3,
4,
2,
1,
2,
2,
2,
3,
4,
4,
4,
2,
3,
2,
2,
4,
2,
2,
2,
4,
3,
3,
3,
4,
4,
2,
7,
4,
4,
4,
4,
4,
8,
8,
3,
5,
3,
3,
3,
5,
3,
2,
2,
1,
3,
3,
3,
3,
5,
3,
3,
4,
4,
3,
5,
3,
2,
2,
2,
2,
3,
2,
3,
3,
4,
3,
2,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
7,
4,
3,
3,
5,
4,
3,
2,
3,
3,
3,
3,
3,
7,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
2,
4,
4,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
5,
5,
4,
4,
4,
3,
3,
3,
4,
2,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
3,
2,
3,
3,
3,
4,
3,
3,
4,
4,
3,
4,
2,
5,
3,
3,
5,
9,
6,
4,
4,
5,
3,
3,
2,
3,
2,
3,
3,
7,
4,
3,
4,
4,
4,
1,
3,
4,
2,
4,
2,
5,
5,
3,
2,
2,
4,
2,
4,
2,
4,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
5,
6,
4,
5,
6,
3,
3,
5,
3,
2,
3,
3,
5,
3,
3,
5,
3,
5,
6,
4,
2,
4,
2,
3,
2,
3,
3,
2,
2,
2,
2,
4,
4,
6,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
2,
2,
5,
2,
2,
2,
5,
3,
3,
3,
2,
2,
3,
3,
4,
4,
4,
3,
4,
3,
2,
3,
3,
2,
2,
1,
2,
2,
5,
4,
3,
4,
6,
4,
4,
4,
4,
2,
2,
2,
4,
3,
4,
3,
2,
4,
4,
6,
4,
5,
3,
4,
2,
4,
2,
2,
3,
2,
2,
4,
4,
4,
4,
3,
3,
4,
6,
3,
5,
4,
4,
3,
3,
3,
4,
3,
3,
3,
3,
2,
3,
2,
4,
3,
11,
2,
4,
4,
4,
3,
4,
2,
2,
3,
3,
3,
3,
2,
4,
4,
4,
4,
5,
7,
2,
4,
4,
4,
7,
6,
6,
6,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
3,
4,
4,
3,
3,
4,
2,
3,
3,
3,
7,
4,
4,
4,
2,
1,
3,
4,
2,
2,
4,
3,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
4,
2,
4,
4,
3,
3,
3,
4,
3,
4,
3,
3,
4,
3,
4,
4,
2,
3,
1,
3,
4,
3,
2,
3,
3,
3,
2,
4,
4,
4,
6,
2,
5,
5,
5,
3,
3,
2,
2,
3,
3,
2,
3,
2,
3,
4,
4,
2,
4,
6,
3,
2,
4,
3,
4,
4,
3,
2,
2,
3,
2,
2,
4,
2,
3,
4,
4,
4,
5,
5,
1,
3,
3,
4,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
4,
2,
2,
4,
4,
4,
2,
2,
2,
4,
2,
4,
2,
4,
6,
4,
3,
4,
2,
3,
3,
3,
5,
3,
3,
5,
5,
3,
3,
2,
2,
3,
5,
4,
3,
5,
3,
4,
2,
2,
2,
1,
2,
3,
3,
3,
4,
2,
4,
6,
3,
4,
4,
4,
4,
4,
4,
2,
3,
3,
4,
3,
6,
6,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
6,
3,
3,
3,
4,
3,
3,
2,
3,
11,
2,
4,
3,
4,
4,
4,
5,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
6,
4,
2,
3,
4,
3,
4,
4,
4,
4,
2,
2,
3,
2,
6,
4,
4,
4,
2,
4,
4,
2,
3,
10,
5,
5,
2,
3,
4,
4,
4,
2,
4,
2,
2,
2,
4,
4,
3,
3,
2,
4,
4,
4,
4,
3,
6,
4,
3,
5,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
3,
5,
3,
6,
6,
2,
4,
2,
2,
2,
5,
4,
4,
3,
4,
6,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
3,
3,
3,
3,
3,
4,
3,
2,
3,
2,
4,
3,
4,
3,
4,
4,
2,
3,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
3,
4,
3,
4,
2,
5,
3,
3,
4,
4,
2,
2,
3,
4,
3,
3,
2,
2,
2,
2,
3,
2,
4,
4,
2,
5,
2,
3,
3,
4,
2,
4,
4,
2,
2,
5,
3,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
4,
4,
3,
2,
4,
3,
2,
3,
4,
3,
2,
4,
4,
3,
4,
4,
4,
4,
3,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
3,
3,
3,
4,
4,
4,
4,
4,
3,
2,
6,
4,
4,
4,
2,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
6,
2,
5,
2,
3,
2,
3,
2,
3,
4,
3,
4,
3,
3,
3,
2,
2,
2,
2,
3,
2,
4,
5,
3,
2,
1,
3,
3,
2,
1,
2,
2,
2,
3,
4,
4,
3,
3,
3,
4,
5,
3,
2,
4,
6,
6,
3,
5,
2,
3,
3,
3,
2,
3,
4,
4,
2,
2,
5,
2,
2,
2,
3,
4,
2,
3,
2,
3,
3,
2,
1,
2,
2,
4,
4,
2,
2,
2,
6,
4,
3,
2,
7,
4,
2,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
6,
2,
2,
2,
4,
3,
3,
6,
4,
3,
4,
3,
3,
2,
3,
4,
3,
4,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
5,
3,
3,
4,
2,
5,
3,
3,
2,
5,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
6,
4,
5,
4,
2,
4,
3,
3,
2,
2,
4,
4,
4,
2,
4,
4,
4,
3,
6,
3,
3,
7,
5,
4,
1,
2,
4,
2,
2,
5,
3,
5,
5,
1,
2,
3,
1,
2,
2,
2,
4,
1,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
1,
4,
4,
3,
4,
4,
4,
1,
5,
4,
3,
3,
1,
3,
5,
2,
6,
4,
2,
4,
4,
4,
4,
4,
5,
2,
1,
2,
4,
3,
3,
3,
4,
4,
4,
4,
2,
4,
4,
4,
3,
2,
3,
2,
3,
3,
4,
4,
3,
3,
4,
2,
2,
2,
3,
3,
3,
3,
2,
2,
3,
2,
3,
3,
2,
3,
2,
3,
2,
2,
4,
3,
3,
6,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
4,
4,
3,
5,
4,
3,
3,
3,
2,
2,
2,
4,
3,
2,
4,
5,
5,
6,
2,
2,
4,
4,
4,
3,
3,
3,
4,
3,
4,
4,
4,
3,
3,
3,
2,
2,
4,
2,
3,
2,
3,
3,
4,
2,
5,
3,
4,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
5,
4,
3,
3,
6,
3,
3,
3,
3,
2,
3,
2,
3,
4,
4,
2,
3,
3,
3,
3,
2,
7,
5,
4,
4,
3,
2,
6,
2,
3,
3,
2,
5,
2,
2,
2,
3,
3,
5,
2,
4,
3,
3,
2,
2,
4,
4,
3,
4,
4,
4,
3,
3,
2,
2,
4,
4,
2,
4,
4,
3,
3,
3,
3,
3,
4,
4,
2,
2,
5,
3,
3,
4,
2,
4,
4,
3,
2,
4,
5,
3,
2,
3,
3,
3,
3,
2,
3,
4,
4,
3,
2,
2,
4,
2,
2,
2,
2,
2,
4,
3,
3,
2,
5,
5,
2,
2,
2,
2,
2,
2,
4,
1,
4,
4,
2,
3,
3,
2,
4,
5,
2,
2,
4,
4,
4,
6,
4,
2,
3,
2,
4,
2,
4,
2,
4,
3,
3,
3,
4,
5,
6,
5,
6,
3,
3,
3,
3,
1,
2,
2,
3,
4,
2,
4,
4,
3,
3,
3,
3,
3,
2,
4,
4,
7,
4,
3,
7,
4,
5,
3,
2,
2,
2,
2,
2,
4,
2,
3,
4,
3,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
3,
2,
2,
4,
4,
4,
2,
7,
3,
2,
6,
2,
2,
1,
3,
3,
3,
3,
2,
3,
3,
3,
3,
4,
2,
4,
9,
3,
3,
3,
3,
3,
4,
3,
1,
2,
2,
3,
4,
4,
2,
2,
3,
5,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
4,
3,
5,
9,
5,
4,
4,
4,
4,
2,
3,
2,
3,
3,
3,
3,
3,
2,
5,
3,
3,
2,
5,
3,
6,
5,
2,
4,
4,
2,
5,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
4,
2,
3,
3,
2,
3,
3,
4,
6,
5,
4,
4,
4,
2,
2,
4,
4,
4,
3,
3,
4,
2,
4,
2,
4,
4,
4,
4,
2,
2,
2,
2,
4,
3,
3,
2,
3,
7,
5,
3,
4,
5,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
5,
4,
6,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
4,
4,
2,
3,
2,
2,
2,
4,
3,
2,
4,
2,
4,
3,
2,
7,
6,
7,
4,
4,
2,
2,
4,
2,
3,
3,
1,
2,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
5,
3,
3,
2,
2,
2,
2,
4,
4,
6,
4,
3,
3,
2,
4,
3,
2,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
6,
2,
3,
2,
2,
2,
2,
1,
5,
3,
3,
3,
4,
4,
2,
2,
2,
3,
3,
3,
2,
4,
2,
4,
3,
2,
2,
4,
4,
1,
2,
3,
5,
5,
2,
2,
3,
2,
2,
2,
2,
4,
4,
5,
3,
4,
4,
4,
6,
4,
7,
2,
2,
4,
5,
3,
5,
6,
2,
3,
4,
2,
3,
5,
2,
2,
2,
3,
3,
4,
3,
3,
1,
3,
2,
2,
4,
4,
4,
4,
3,
3,
3,
1,
2,
3,
3,
2,
3,
3,
1,
2,
2,
1,
2,
2,
3,
2,
3,
3,
2,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
4,
2,
2,
4,
4,
4,
7,
6,
4,
3,
3,
3,
4,
2,
2,
5,
2,
2,
2,
3,
3,
3,
3,
2,
3,
5,
3,
2,
3,
4,
4,
2,
4,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
4,
4,
4,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
7,
3,
4,
4,
4,
4,
4,
5,
2,
3,
3,
4,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
1,
3,
3,
4,
3,
2,
2,
2,
4,
2,
2,
2,
4,
4,
3,
2,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
6,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
4,
4,
5,
4,
4,
4,
2,
3,
3,
3,
4,
3,
3,
2,
3,
4,
2,
2,
2,
2,
3,
7,
7,
5,
5,
5,
6,
6,
5,
5,
5,
5,
3,
2,
6,
4,
4,
2,
2,
3,
2,
2,
9,
3,
4,
6,
3,
2,
2,
5,
2,
2,
4,
2,
2,
2,
4,
2,
3,
2,
2,
3,
4,
4,
4,
4,
3,
5,
2,
2,
2,
2,
5,
3,
3,
4,
4,
5,
5,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
5,
2,
4,
4,
4,
3,
3,
3,
3,
2,
2,
4,
2,
5,
5,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
3,
4,
5,
4,
5,
3,
6,
4,
2,
3,
5,
3,
4,
5,
4,
3,
2,
4,
2,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
4,
2,
2,
4,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
3,
3,
2,
4,
4,
2,
4,
4,
3,
4,
2,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
4,
4,
5,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
7,
2,
4,
1,
4,
5,
4,
3,
3,
3,
2,
2,
1,
4,
3,
4,
3,
3,
3,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
2,
2,
3,
3,
7,
3,
3,
4,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
3,
2,
4,
3,
2,
5,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
4,
3,
4,
3,
4,
4,
3,
3,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
7,
4,
4,
2,
4,
4,
4,
3,
3,
3,
6,
3,
7,
2,
4,
3,
2,
4,
4,
4,
4,
2,
4,
3,
4,
4,
2,
2,
4,
4,
4,
2,
5,
4,
2,
4,
4,
2,
1,
1,
3,
4,
2,
2,
4,
3,
4,
4,
4,
3,
2,
4,
3,
3,
3,
4,
2,
2,
2,
2,
3,
2,
6,
2,
3,
4,
1,
3,
3,
7,
4,
6,
3,
3,
3,
4,
6,
4,
2,
4,
4,
4,
2,
2,
4,
3,
5,
3,
4,
4,
4,
5,
4,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
5,
3,
3,
2,
2,
2,
3,
6,
3,
4,
2,
2,
3,
4,
2,
2,
2,
2,
4,
2,
2,
4,
4,
4,
2,
4,
4,
3,
3,
2,
3,
2,
3,
4,
3,
4,
4,
6,
2,
4,
3,
4,
5,
4,
3,
3,
3,
4,
6,
5,
4,
2,
4,
3,
3,
2,
3,
6,
3,
3,
6,
4,
2,
2,
4,
5,
4,
5,
2,
6,
5,
5,
3,
2,
2,
3,
1,
4,
1,
4,
3,
4,
2,
3,
2,
5,
4,
3,
3,
4,
2,
3,
3,
4,
2,
4,
4,
4,
2,
3,
3,
1,
1,
3,
3,
3,
2,
3,
2,
5,
2,
3,
6,
3,
4,
4,
5,
3,
4,
5,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
4,
3,
2,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
6,
4,
4,
4,
2,
3,
3,
3,
3,
3,
4,
4,
2,
4,
2,
2,
3,
3,
2,
3,
2,
3,
3,
21,
21,
3,
5,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
5,
3,
3,
7,
3,
3,
2,
4,
5,
2,
4,
4,
3,
2,
2,
3,
2,
3,
2,
2,
3,
2,
2,
2,
3,
2,
3,
2,
3,
2,
2,
5,
5,
2,
5,
3,
2,
4,
3,
3,
2,
4,
3,
7,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
4,
3,
4,
6,
4,
4,
6,
8,
4,
4,
6,
2,
3,
3,
4,
2,
4,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
4,
2,
3,
3,
4,
5,
5,
4,
6,
4,
3,
4,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
4,
3,
4,
2,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
5,
3,
3,
4,
2,
4,
4,
4,
8,
3,
4,
2,
2,
5,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
5,
3,
3,
3,
3,
3,
4,
4,
3,
3,
2,
2,
7,
7,
2,
2,
2,
3,
3,
4,
4,
7,
2,
3,
4,
3,
3,
3,
3,
4,
2,
2,
2,
6,
2,
2,
4,
4,
2,
2,
3,
3,
4,
3,
3,
4,
3,
2,
1,
4,
4,
4,
4,
4,
4,
2,
2,
4,
2,
2,
4,
2,
1,
2,
2,
2,
4,
2,
2,
3,
2,
2,
2,
3,
5,
3,
5,
2,
3,
2,
2,
2,
2,
5,
2,
4,
3,
2,
2,
3,
4,
4,
3,
3,
3,
3,
2,
4,
4,
6,
4,
4,
3,
3,
1,
2,
4,
2,
5,
4,
4,
4,
3,
3,
2,
4,
2,
5,
5,
2,
5,
4,
3,
4,
5,
5,
4,
4,
3,
7,
4,
4,
2,
2,
3,
2,
3,
1,
4,
6,
5,
5,
3,
4,
6,
4,
3,
6,
3,
3,
4,
4,
2,
4,
4,
5,
2,
4,
4,
1,
3,
4,
2,
4,
3,
4,
4,
4,
4,
4,
2,
3,
3,
4,
4,
4,
3,
2,
4,
3,
4,
3,
3,
3,
2,
3,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
5,
5,
4,
3,
4,
4,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
4,
6,
4,
5,
2,
4,
5,
2,
3,
4,
4,
4,
3,
4,
2,
4,
2,
2,
3,
3,
2,
3,
3,
2,
4,
6,
2,
3,
2,
2,
3,
4,
3,
4,
2,
4,
4,
4,
3,
4,
4,
2,
4,
4,
2,
5,
7,
5,
4,
5,
2,
4,
5,
6,
5,
2,
6,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
3,
4,
3,
2,
3,
2,
3,
3,
3,
2,
1,
2,
2,
3,
3,
2,
2,
2,
3,
4,
4,
3,
4,
4,
4,
2,
2,
2,
3,
3,
2,
2,
4,
2,
2,
3,
3,
3,
3,
2,
2,
3,
2,
5,
2,
5,
4,
2,
2,
3,
3,
2,
2,
3,
3,
3,
2,
2,
6,
2,
3,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
4,
4,
3,
2,
2,
2,
2,
5,
4,
2,
5,
3,
4,
4,
4,
2,
2,
2,
4,
2,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
5,
4,
4,
5,
2,
2,
4,
2,
2,
2,
3,
2,
2,
2,
5,
2,
4,
4,
4,
2,
3,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
2,
3,
2,
3,
3,
3,
6,
5,
3,
3,
4,
2,
2,
2,
3,
3,
6,
4,
3,
2,
2,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
4,
4,
4,
4,
4,
3,
4,
2,
3,
4,
2,
4,
2,
6,
3,
3,
3,
3,
3,
4,
2,
5,
4,
3,
4,
4,
3,
5,
2,
1,
4,
3,
4,
4,
4,
4,
3,
2,
6,
2,
5,
2,
5,
2,
4,
3,
3,
5,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
3,
3,
2,
3,
3,
6,
2,
2,
2,
2,
5,
2,
5,
4,
3,
2,
4,
4,
4,
3,
3,
3,
3,
4,
2,
6,
3,
2,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
6,
4,
5,
5,
5,
2,
3,
3,
3,
3,
4,
2,
3,
2,
4,
2,
2,
4,
4,
2,
3,
3,
3,
3,
4,
3,
6,
2,
3,
3,
6,
3,
2,
4,
4,
4,
2,
2,
2,
5,
5,
5,
3,
4,
5,
3,
4,
4,
3,
4,
3,
3,
4,
4,
5,
2,
2,
6,
3,
2,
3,
3,
4,
4,
3,
2,
4,
4,
4,
4,
2,
3,
3,
4,
3,
3,
3,
2,
2,
3,
4,
2,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
1,
6,
3,
2,
4,
2,
2,
2,
4,
3,
2,
3,
3,
5,
2,
3,
3,
3,
3,
4,
5,
3,
2,
2,
2,
2,
2,
4,
3,
2,
2,
4,
4,
3,
3,
4,
4,
2,
4,
2,
3,
2,
3,
1,
3,
1,
4,
3,
3,
4,
2,
2,
2,
3,
3,
3,
4,
2,
2,
2,
3,
3,
3,
2,
1,
2,
2,
1,
3,
2,
4,
1,
1,
2,
3,
3,
3,
7,
2,
3,
3,
3,
3,
4,
2,
3,
3,
2,
4,
4,
2,
2,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
2,
5,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
6,
4,
3,
3,
3,
2,
2,
2,
4,
4,
3,
2,
2,
2,
4,
5,
6,
2,
4,
2,
2,
4,
3,
2,
2,
4,
3,
3,
3,
4,
4,
5,
4,
3,
2,
2,
2,
3,
5,
2,
3,
2,
3,
3,
2,
2,
4,
2,
3,
4,
4,
4,
5,
3,
2,
2,
2,
3,
3,
2,
4,
2,
4,
2,
2,
3,
2,
4,
2,
2,
2,
5,
4,
2,
3,
3,
3,
4,
2,
1,
1,
5,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
3,
2,
2,
3,
3,
4,
6,
5,
5,
4,
3,
4,
3,
4,
2,
2,
2,
3,
3,
2,
2,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
4,
2,
2,
2,
4,
7,
3,
3,
4,
4,
2,
4,
3,
3,
4,
4,
3,
2,
3,
3,
2,
3,
2,
2,
2,
2,
2,
6,
7,
4,
4,
4,
2,
6,
5,
3,
3,
3,
3,
3,
2,
3,
3,
1,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
5,
5,
2,
4,
5,
5,
2,
3,
2,
5,
4,
2,
2,
3,
8,
4,
3,
3,
2,
4,
3,
3,
5,
5,
4,
4,
5,
4,
2,
2,
2,
3,
2,
2,
2,
1,
4,
4,
2,
4,
2,
2,
3,
2,
4,
1,
2,
3,
2,
6,
3,
5,
5,
4,
3,
3,
3,
3,
6,
7,
3,
3,
3,
3,
3,
5,
3,
5,
5,
5,
2,
3,
5,
4,
6,
4,
4,
3,
5,
5,
7,
6,
3,
3,
3,
2,
3,
4,
2,
3,
3,
4,
2,
2,
2,
2,
3,
2,
2,
3,
2,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
2,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
5,
3,
3,
3,
5,
4,
2,
4,
4,
2,
4,
3,
3,
4,
3,
2,
6,
3,
2,
2,
4,
4,
2,
5,
3,
2,
2,
2,
2,
3,
7,
3,
3,
3,
4,
4,
3,
4,
2,
2,
3,
4,
3,
3,
2,
4,
3,
2,
2,
4,
4,
4,
4,
4,
2,
4,
3,
2,
3,
4,
5,
3,
3,
3,
3,
2,
4,
2,
3,
2,
4,
3,
2,
4,
3,
3,
2,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
5,
3,
4,
3,
3,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
2,
4,
3,
2,
2,
4,
4,
4,
2,
4,
4,
4,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
5,
2,
4,
2,
2,
3,
3,
4,
7,
3,
2,
2,
4,
3,
2,
5,
4,
3,
6,
4,
6,
4,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
5,
2,
3,
3,
2,
3,
4,
2,
2,
2,
4,
2,
2,
2,
2,
4,
2,
4,
4,
5,
4,
4,
4,
2,
4,
2,
5,
5,
5,
2,
4,
4,
2,
4,
2,
3,
5,
3,
3,
3,
2,
4,
4,
4,
4,
5,
2,
2,
4,
3,
3,
2,
6,
2,
4,
2,
3,
2,
4,
4,
4,
4,
3,
4,
3,
2,
4,
4,
5,
6,
5,
3,
5,
5,
4,
4,
2,
2,
2,
2,
4,
1,
1,
1,
1,
2,
4,
4,
5,
1,
3,
4,
4,
4,
4,
4,
4,
4,
5,
4,
4,
6,
4,
4,
4,
3,
3,
3,
3,
2,
4,
4,
3,
2,
5,
4,
2,
5,
2,
2,
2,
4,
3,
2,
2,
2,
6,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
6,
4,
4,
4,
2,
3,
4,
2,
3,
4,
3,
4,
2,
2,
3,
3,
3,
5,
3,
6,
3,
4,
4,
3,
4,
2,
2,
4,
4,
4,
2,
2,
4,
4,
2,
4,
3,
2,
4,
2,
2,
2,
2,
4,
2,
3,
2,
2,
4,
3,
6,
7,
2,
5,
2,
2,
3,
3,
3,
2,
2,
3,
5,
5,
5,
5,
2,
3,
4,
4,
4,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
3,
3,
3,
6,
2,
4,
3,
4,
3,
3,
3,
1,
4,
4,
4,
4,
4,
2,
5,
4,
3,
2,
3,
2,
4,
2,
2,
2,
3,
2,
2,
2,
2,
5,
6,
4,
3,
2,
2,
3,
4,
4,
3,
1,
3,
2,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
2,
3,
2,
4,
2,
4,
4,
2,
2,
5,
4,
2,
2,
2,
3,
3,
4,
4,
2,
2,
2,
4,
2,
3,
3,
3,
5,
4,
5,
3,
3,
2,
2,
4,
2,
4,
4,
4,
4,
3,
3,
3,
3,
2,
6,
2,
2,
3,
4,
2,
4,
2,
4,
4,
4,
4,
3,
4,
2,
2,
4,
3,
5,
3,
4,
4,
4,
2,
4,
3,
3,
4,
7,
2,
2,
2,
3,
3,
3,
2,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
2,
3,
4,
3,
2,
2,
5,
3,
4,
3,
4,
3,
3,
3,
4,
2,
3,
3,
2,
2,
4,
4,
2,
4,
4,
3,
3,
3,
4,
5,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
3,
2,
3,
3,
4,
2,
2,
1,
2,
8,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
3,
3,
3,
2,
2,
2,
3,
5,
5,
3,
3,
2,
4,
3,
4,
3,
3,
4,
2,
4,
2,
1,
3,
4,
2,
4,
2,
2,
1,
2,
4,
5,
5,
3,
3,
4,
3,
4,
4,
2,
2,
3,
3,
4,
2,
2,
2,
2,
4,
2,
2,
3,
3,
4,
2,
3,
3,
2,
3,
3,
4,
5,
7,
2,
2,
2,
3,
4,
4,
2,
3,
2,
3,
6,
3,
3,
4,
2,
2,
4,
4,
4,
4,
4,
4,
1,
4,
4,
4,
2,
2,
2,
2,
2,
5,
2,
5,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
3,
2,
2,
4,
5,
3,
2,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
5,
2,
4,
4,
2,
2,
4,
5,
4,
4,
4,
3,
6,
4,
4,
4,
4,
4,
4,
3,
2,
3,
2,
3,
5,
2,
5,
2,
2,
4,
5,
2,
2,
3,
2,
3,
2,
3,
3,
4,
2,
4,
4,
4,
4,
5,
4,
3,
3,
2,
2,
2,
4,
2,
4,
3,
4,
4,
4,
3,
2,
4,
2,
2,
2,
2,
3,
2,
2,
3,
3,
2,
3,
3,
3,
2,
7,
2,
2,
2,
4,
4,
2,
4,
3,
4,
3,
4,
3,
1,
2,
3,
3,
5,
2,
3,
1,
2,
2,
3,
3,
4,
4,
4,
2,
4,
5,
5,
3,
2,
3,
2,
3,
4,
4,
2,
2,
3,
2,
3,
4,
4,
2,
2,
2,
2,
2,
3,
1,
3,
4,
3,
2,
2,
3,
3,
3,
4,
4,
3,
4,
4,
4,
1,
2,
2,
2,
2,
1,
2,
4,
4,
3,
2,
3,
3,
4,
4,
2,
4,
4,
4,
2,
3,
4,
6,
2,
3,
3,
4,
1,
1,
4,
4,
3,
3,
5,
2,
5,
3,
2,
2,
3,
3,
2,
2,
2,
4,
3,
2,
3,
6,
4,
2,
4,
3,
4,
4,
4,
2,
5,
5,
3,
2,
4,
4,
2,
3,
5,
2,
4,
2,
4,
4,
5,
4,
2,
2,
2,
1,
2,
4,
4,
4,
3,
3,
3,
3,
3,
4,
3,
4,
2,
5,
5,
4,
5,
3,
3,
3,
4,
2,
3,
1,
2,
2,
3,
3,
2,
4,
4,
4,
4,
6,
5,
4,
2,
2,
3,
4,
4,
3,
2,
5,
4,
2,
3,
4,
4,
4,
4,
2,
4,
1,
4,
5,
2,
2,
2,
4,
5,
4,
2,
3,
2,
3,
3,
3,
3,
4,
2,
1,
2,
2,
2,
2,
2,
4,
4,
5,
4,
3,
3,
2,
3,
6,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
3,
2,
2,
2,
4,
3,
3,
2,
4,
2,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
2,
3,
1,
2,
3,
3,
3,
3,
5,
3,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
2,
4,
5,
2,
5,
5,
3,
5,
5,
2,
2,
7,
4,
4,
4,
4,
2,
2,
3,
4,
3,
3,
2,
3,
2,
2,
2,
2,
3,
5,
4,
5,
3,
4,
4,
5,
2,
4,
2,
5,
2,
2,
1,
2,
1,
2,
3,
3,
2,
1,
3,
4,
5,
4,
4,
2,
13,
2,
3,
2,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
6,
3,
5,
3,
5,
5,
5,
6,
4,
4,
4,
4,
4,
2,
3,
3,
4,
3,
2,
2,
8,
5,
4,
6,
4,
4,
3,
3,
4,
6,
5,
3,
5,
5,
3,
3,
3,
3,
2,
5,
3,
4,
4,
2,
5,
4,
4,
2,
4,
3,
3,
3,
2,
3,
4,
3,
2,
2,
2,
4,
4,
4,
2,
2,
2,
3,
2,
4,
6,
4,
6,
2,
6,
2,
2,
2,
2,
3,
3,
7,
7,
3,
4,
4,
4,
3,
3,
3,
4,
4,
3,
2,
3,
1,
4,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
4,
3,
2,
2,
2,
2,
2,
3,
2,
3,
2,
4,
3,
3,
6,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
5,
5,
7,
2,
3,
3,
4,
4,
4,
4,
2,
4,
3,
2,
3,
3,
3,
3,
2,
5,
3,
2,
2,
2,
3,
3,
4,
2,
3,
2,
3,
3,
4,
3,
4,
4,
4,
3,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
5,
4,
6,
4,
4,
4,
8,
5,
4,
2,
2,
4,
4,
4,
4,
4,
6,
5,
8,
4,
3,
4,
2,
3,
3,
3,
6,
3,
4,
4,
3,
4,
2,
6,
3,
3,
4,
4,
2,
2,
2,
4,
3,
2,
3,
5,
4,
7,
4,
3,
4,
4,
4,
4,
6,
4,
3,
1,
2,
1,
2,
1,
2,
3,
5,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
5,
3,
4,
3,
3,
3,
4,
1,
2,
3,
2,
3,
5,
2,
1,
4,
2,
3,
4,
4,
3,
5,
1,
1,
1,
6,
3,
2,
3,
3,
2,
4,
4,
3,
4,
3,
3,
3,
3,
2,
2,
4,
3,
3,
2,
2,
2,
2,
4,
3,
3,
5,
4,
1,
4,
4,
6,
2,
3,
4,
2,
2,
2,
2,
2,
3,
4,
3,
3,
3,
3,
4,
3,
2,
2,
3,
2,
3,
5,
2,
3,
4,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
3,
4,
3,
2,
4,
4,
3,
3,
5,
4,
4,
2,
4,
2,
2,
4,
2,
4,
3,
2,
4,
4,
3,
3,
2,
2,
3,
3,
1,
3,
4,
5,
2,
2,
4,
4,
4,
4,
4,
6,
2,
4,
2,
3,
3,
2,
5,
2,
2,
3,
4,
3,
3,
2,
4,
2,
4,
4,
4,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
6,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
4,
2,
2,
3,
2,
3,
2,
4,
4,
4,
5,
6,
3,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
2,
2,
3,
5,
2,
2,
4,
6,
4,
2,
4,
4,
3,
3,
4,
3,
4,
2,
3,
1,
4,
2,
4,
2,
2,
2,
3,
4,
2,
2,
4,
3,
4,
4,
3,
2,
2,
2,
2,
2,
4,
6,
4,
5,
4,
2,
2,
3,
4,
4,
4,
4,
4,
3,
3,
4,
2,
4,
5,
4,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
6,
3,
3,
2,
3,
3,
4,
2,
2,
4,
2,
3,
3,
4,
3,
4,
3,
2,
4,
4,
4,
4,
3,
4,
4,
5,
5,
2,
3,
4,
3,
3,
2,
2,
3,
3,
4,
4,
3,
2,
3,
4,
2,
2,
2,
2,
3,
2,
4,
2,
2,
3,
4,
2,
2,
3,
2,
1,
5,
2,
5,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
3,
4,
3,
3,
2,
3,
3,
2,
4,
3,
1,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
6,
5,
6,
2,
2,
2,
2,
2,
2,
2,
6,
3,
4,
4,
4,
4,
3,
3,
2,
2,
4,
4,
4,
5,
5,
4,
3,
4,
2,
2,
5,
3,
2,
4,
2,
1,
2,
2,
2,
2,
3,
2,
2,
1,
2,
3,
6,
4,
4,
4,
5,
5,
3,
3,
2,
2,
2,
4,
7,
4,
5,
6,
6,
3,
5,
4,
7,
6,
2,
4,
7,
5,
3,
2,
4,
2,
2,
3,
4,
2,
3,
3,
2,
2,
3,
2,
4,
5,
2,
2,
2,
2,
3,
2,
3,
3,
3,
2,
3,
2,
8,
8,
3,
2,
2,
4,
4,
3,
3,
3,
4,
3,
4,
4,
3,
2,
2,
3,
3,
5,
2,
5,
5,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
6,
3,
3,
3,
3,
2,
3,
2,
2,
4,
3,
4,
2,
3,
4,
2,
4,
3,
3,
4,
2,
3,
3,
1,
1,
1,
3,
2,
2,
5,
3,
2,
3,
5,
4,
4,
6,
4,
2,
2,
3,
2,
4,
5,
2,
2,
2,
2,
2,
4,
3,
2,
2,
1,
2,
2,
2,
3,
3,
2,
2,
4,
4,
2,
3,
4,
4,
3,
5,
4,
4,
3,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
6,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
1,
4,
2,
5,
2,
8,
4,
4,
4,
2,
4,
4,
5,
3,
4,
2,
5,
3,
2,
2,
2,
3,
3,
2,
2,
2,
3,
3,
4,
2,
3,
3,
3,
2,
2,
3,
2,
3,
4,
3,
4,
3,
3,
4,
4,
5,
5,
2,
4,
4,
6,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
2,
3,
4,
3,
3,
5,
4,
2,
4,
3,
4,
2,
2,
4,
4,
2,
2,
4,
4,
4,
5,
3,
8,
2,
3,
6,
4,
3,
4,
2,
2,
2,
2,
4,
6,
5,
3,
3,
3,
3,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
3,
2,
4,
4,
3,
4,
2,
4,
3,
2,
2,
2,
4,
2,
2,
3,
2,
3,
4,
3,
4,
3,
3,
3,
4,
2,
3,
2,
2,
4,
4,
2,
4,
4,
3,
7,
2,
2,
4,
4,
2,
4,
4,
4,
2,
3,
3,
3,
3,
2,
3,
4,
3,
3,
3,
3,
4,
5,
2,
4,
6,
3,
3,
4,
2,
2,
2,
1,
2,
2,
2,
4,
3,
2,
4,
4,
4,
2,
2,
3,
2,
6,
3,
2,
2,
2,
2,
4,
4,
4,
4,
3,
3,
3,
2,
6,
4,
4,
6,
4,
3,
3,
3,
2,
2,
1,
2,
3,
2,
3,
4,
2,
4,
3,
4,
2,
2,
2,
4,
3,
2,
3,
2,
8,
2,
2,
3,
3,
4,
2,
4,
2,
7,
3,
2,
2,
5,
5,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
2,
6,
3,
2,
3,
3,
2,
2,
3,
2,
3,
3,
4,
2,
2,
2,
3,
4,
5,
3,
2,
4,
3,
6,
4,
2,
2,
4,
4,
3,
2,
2,
4,
3,
3,
2,
4,
4,
3,
4,
4,
3,
3,
2,
4,
4,
4,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
2,
2,
3,
4,
2,
2,
2,
3,
2,
4,
2,
3,
5,
4,
6,
3,
2,
3,
2,
3,
4,
2,
2,
2,
2,
5,
3,
5,
5,
6,
3,
2,
3,
2,
4,
4,
4,
3,
4,
3,
4,
2,
2,
2,
2,
4,
3,
4,
2,
6,
2,
3,
4,
5,
4,
4,
4,
4,
4,
3,
2,
7,
4,
3,
4,
4,
3,
3,
4,
3,
4,
3,
2,
3,
2,
2,
2,
2,
2,
5,
5,
2,
4,
2,
4,
4,
4,
4,
2,
2,
3,
2,
7,
4,
4,
5,
2,
4,
2,
2,
4,
2,
2,
3,
3,
3,
2,
2,
3,
3,
4,
3,
3,
3,
2,
4,
4,
3,
2,
5,
5,
2,
5,
4,
4,
4,
5,
5,
2,
2,
3,
4,
4,
2,
2,
2,
2,
2,
1,
3,
3,
2,
5,
2,
4,
2,
3,
2,
2,
4,
7,
4,
2,
4,
3,
2,
3,
5,
3,
3,
2,
2,
6,
4,
2,
3,
3,
4,
7,
3,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
1,
4,
4,
4,
4,
2,
3,
3,
4,
4,
4,
2,
2,
4,
4,
5,
4,
2,
3,
5,
3,
3,
4,
7,
4,
5,
6,
1,
3,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
6,
2,
2,
3,
3,
4,
4,
3,
3,
2,
3,
2,
3,
3,
3,
2,
2,
3,
4,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
2,
4,
1,
2,
2,
2,
4,
3,
2,
3,
2,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
3,
4,
4,
2,
2,
2,
3,
2,
3,
3,
4,
4,
4,
4,
3,
3,
3,
2,
4,
2,
4,
3,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
5,
2,
2,
4,
3,
2,
2,
4,
6,
4,
2,
3,
3,
1,
2,
1,
3,
4,
2,
4,
2,
3,
4,
2,
3,
4,
4,
2,
3,
3,
2,
2,
7,
3,
7,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
5,
4,
3,
3,
2,
4,
4,
3,
2,
4,
3,
2,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
3,
2,
3,
3,
5,
4,
2,
3,
4,
4,
3,
3,
3,
2,
2,
3,
2,
2,
4,
2,
2,
4,
4,
4,
2,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
7,
2,
4,
3,
3,
4,
5,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
3,
2,
2,
2,
2,
1,
5,
3,
3,
2,
4,
2,
5,
3,
4,
2,
5,
3,
2,
1,
3,
3,
4,
2,
3,
2,
3,
2,
3,
3,
4,
6,
3,
3,
4,
4,
3,
3,
3,
4,
4,
2,
3,
2,
3,
2,
2,
4,
2,
3,
2,
5,
3,
3,
3,
3,
4,
4,
2,
3,
2,
2,
4,
2,
2,
4,
4,
3,
2,
2,
3,
3,
5,
5,
4,
4,
3,
4,
3,
3,
4,
4,
4,
6,
4,
4,
7,
2,
4,
4,
1,
4,
4,
4,
3,
3,
2,
2,
6,
2,
3,
3,
4,
2,
2,
4,
2,
2,
2,
4,
3,
4,
5,
3,
3,
4,
2,
5,
2,
4,
4,
4,
2,
2,
2,
2,
4,
5,
3,
4,
3,
2,
2,
4,
4,
4,
3,
6,
2,
3,
2,
4,
2,
4,
2,
2,
3,
2,
3,
3,
4,
4,
3,
3,
1,
2,
3,
3,
5,
2,
5,
1,
3,
2,
2,
4,
4,
2,
2,
4,
4,
3,
3,
3,
2,
2,
4,
3,
4,
7,
4,
4,
3,
3,
2,
2,
2,
4,
3,
2,
4,
2,
2,
3,
3,
3,
3,
5,
2,
4,
4,
6,
3,
3,
3,
3,
3,
3,
3,
2,
2,
5,
2,
3,
4,
2,
2,
3,
3,
3,
3,
4,
2,
4,
4,
2,
4,
4,
3,
3,
4,
5,
4,
3,
3,
2,
2,
1,
3,
4,
3,
4,
3,
2,
5,
4,
2,
4,
3,
2,
2,
2,
2,
9,
4,
2,
2,
5,
4,
3,
2,
3,
4,
3,
3,
3,
3,
3,
4,
2,
3,
2,
2,
2,
2,
3,
4,
4,
4,
4,
2,
3,
2,
4,
3,
2,
3,
2,
3,
3,
5,
3,
5,
2,
2,
3,
3,
4,
2,
4,
6,
2,
2,
2,
3,
3,
2,
3,
4,
5,
3,
3,
3,
3,
2,
3,
3,
4,
3,
4,
2,
4,
3,
3,
4,
4,
4,
4,
5,
4,
3,
4,
4,
6,
4,
4,
4,
4,
5,
4,
4,
2,
4,
3,
4,
3,
4,
3,
3,
2,
4,
4,
3,
6,
4,
3,
4,
4,
2,
2,
4,
4,
3,
2,
5,
4,
2,
5,
3,
2,
2,
3,
2,
2,
2,
5,
4,
2,
7,
4,
2,
3,
3,
3,
2,
3,
2,
5,
2,
2,
5,
2,
4,
4,
2,
2,
3,
3,
3,
2,
3,
3,
2,
2,
2,
4,
4,
4,
2,
3,
2,
2,
2,
4,
5,
2,
3,
5,
3,
2,
3,
2,
2,
3,
3,
2,
3,
2,
2,
4,
2,
2,
3,
3,
4,
4,
5,
3,
3,
2,
3,
2,
2,
2,
2,
5,
2,
7,
4,
5,
4,
4,
4,
3,
3,
3,
3,
2,
3,
3,
2,
4,
3,
2,
2,
2,
2,
4,
4,
5,
2,
2,
2,
2,
4,
2,
5,
2,
4,
2,
3,
2,
5,
2,
4,
2,
2,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
4,
3,
2,
4,
2,
2,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
6,
3,
2,
4,
3,
2,
4,
4,
4,
3,
5,
5,
4,
4,
4,
3,
3,
2,
4,
2,
2,
2,
2,
4,
4,
2,
2,
4,
4,
4,
3,
2,
4,
3,
4,
6,
4,
4,
4,
4,
4,
4,
4,
2,
1,
2,
2,
3,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
2,
7,
7,
3,
4,
3,
2,
5,
2,
2,
3,
3,
2,
2,
3,
2,
4,
4,
3,
3,
3,
4,
4,
1,
3,
3,
6,
4,
3,
10,
3,
2,
2,
2,
2,
4,
4,
2,
2,
4,
5,
6,
3,
4,
4,
4,
5,
3,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
3,
3,
2,
4,
2,
2,
3,
2,
3,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
5,
4,
4,
4,
3,
4,
2,
2,
6,
3,
2,
4,
2,
3,
4,
1,
5,
2,
5,
2,
4,
2,
2,
2,
3,
3,
1,
2,
2,
1,
2,
3,
2,
5,
6,
5,
3,
3,
6,
3,
3,
5,
3,
3,
2,
4,
1,
6,
4,
6,
2,
3,
3,
3,
3,
2,
2,
4,
4,
2,
3,
2,
3,
3,
2,
2,
2,
4,
3,
4,
3,
3,
3,
2,
4,
3,
3,
3,
8,
2,
3,
4,
4,
8,
5,
3,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
6,
2,
2,
3,
1,
2,
2,
6,
4,
4,
3,
4,
5,
2,
2,
3,
3,
3,
2,
3,
3,
3,
4,
3,
2,
2,
2,
4,
2,
4,
4,
4,
2,
2,
3,
2,
3,
3,
2,
3,
4,
4,
2,
1,
2,
3,
2,
2,
2,
3,
3,
4,
4,
2,
5,
3,
2,
5,
3,
3,
3,
3,
4,
3,
2,
3,
2,
3,
4,
5,
5,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
4,
7,
2,
3,
2,
4,
5,
4,
2,
2,
2,
2,
2,
3,
4,
3,
3,
2,
3,
3,
3,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
3,
2,
4,
6,
2,
2,
3,
6,
2,
2,
3,
2,
3,
3,
2,
2,
5,
2,
2,
2,
3,
2,
3,
3,
2,
3,
4,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
2,
4,
4,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
7,
5,
4,
5,
5,
2,
3,
2,
3,
3,
3,
2,
4,
4,
4,
2,
2,
2,
1,
2,
4,
3,
2,
3,
2,
2,
4,
4,
2,
4,
2,
4,
4,
2,
5,
4,
4,
4,
3,
3,
3,
4,
4,
5,
4,
1,
1,
3,
3,
3,
3,
2,
4,
5,
6,
4,
3,
4,
7,
4,
2,
1,
3,
3,
2,
3,
4,
2,
3,
4,
2,
2,
2,
2,
3,
2,
2,
5,
2,
4,
4,
2,
2,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
4,
5,
4,
4,
3,
4,
4,
9,
3,
2,
2,
2,
2,
3,
3,
4,
4,
2,
4,
2,
4,
4,
4,
3,
2,
2,
3,
4,
4,
5,
3,
3,
2,
2,
2,
5,
5,
4,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
5,
3,
4,
2,
1,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
5,
2,
6,
4,
2,
2,
3,
2,
2,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
5,
3,
3,
3,
3,
4,
7,
3,
1,
3,
2,
3,
6,
5,
4,
2,
4,
4,
4,
4,
6,
4,
4,
4,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
1,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
2,
4,
4,
3,
2,
4,
3,
4,
5,
2,
4,
2,
2,
3,
2,
3,
3,
3,
4,
3,
3,
2,
2,
3,
4,
4,
4,
2,
4,
3,
2,
2,
2,
2,
1,
2,
3,
5,
2,
5,
6,
2,
2,
3,
3,
4,
3,
3,
2,
2,
4,
2,
2,
2,
3,
2,
4,
4,
3,
3,
4,
3,
2,
3,
4,
4,
2,
2,
4,
2,
1,
4,
2,
3,
3,
3,
3,
2,
4,
5,
4,
4,
1,
3,
3,
3,
5,
4,
5,
4,
4,
2,
4,
3,
5,
3,
2,
3,
2,
4,
4,
3,
3,
4,
3,
2,
2,
2,
2,
4,
2,
3,
4,
4,
5,
2,
2,
5,
2,
2,
3,
2,
2,
4,
4,
4,
4,
6,
4,
4,
2,
2,
2,
4,
2,
3,
4,
4,
4,
3,
3,
4,
4,
3,
3,
3,
3,
3,
4,
2,
2,
2,
3,
2,
3,
2,
4,
2,
3,
3,
5,
3,
2,
3,
2,
3,
4,
4,
4,
3,
2,
2,
5,
5,
2,
2,
2,
2,
2,
4,
3,
3,
2,
2,
2,
3,
2,
3,
4,
2,
3,
2,
4,
2,
2,
3,
4,
2,
3,
2,
2,
2,
2,
2,
4,
2,
3,
4,
2,
2,
3,
4,
2,
4,
2,
2,
2,
2,
3,
3,
2,
4,
3,
3,
3,
4,
4,
3,
4,
2,
2,
2,
4,
4,
5,
4,
2,
4,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
3,
1,
4,
2,
2,
5,
3,
2,
4,
3,
3,
3,
2,
4,
2,
3,
2,
2,
2,
3,
2,
3,
2,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
3,
4,
3,
4,
4,
3,
4,
3,
3,
4,
2,
4,
1,
2,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
3,
3,
2,
2,
4,
4,
4,
4,
4,
2,
4,
3,
2,
4,
3,
3,
2,
4,
4,
4,
3,
2,
3,
4,
3,
2,
2,
5,
5,
3,
3,
4,
2,
2,
2,
2,
3,
2,
4,
4,
2,
3,
2,
3,
2,
2,
3,
3,
5,
6,
4,
2,
4,
5,
3,
7,
7,
5,
6,
6,
6,
4,
2,
4,
2,
2,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
4,
4,
3,
2,
2,
2,
3,
4,
1,
4,
4,
4,
3,
2,
3,
3,
2,
2,
2,
5,
4,
4,
4,
4,
2,
5,
3,
4,
2,
2,
5,
2,
4,
2,
6,
3,
1,
4,
4,
4,
3,
3,
5,
2,
1,
4,
3,
4,
5,
2,
2,
3,
2,
2,
3,
2,
3,
3,
4,
2,
4,
4,
2,
2,
3,
3,
3,
2,
3,
2,
3,
3,
5,
3,
3,
2,
6,
1,
2,
4,
2,
2,
4,
6,
4,
4,
2,
2,
4,
4,
2,
4,
3,
4,
3,
5,
5,
4,
4,
4,
2,
2,
4,
5,
4,
4,
4,
2,
2,
3,
2,
2,
3,
3,
5,
4,
1,
3,
3,
3,
4,
2,
4,
4,
4,
5,
4,
4,
4,
2,
4,
6,
5,
5,
4,
4,
4,
3,
3,
3,
2,
3,
2,
4,
3,
3,
2,
4,
2,
4,
3,
4,
4,
4,
5,
5,
3,
7,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
2,
4,
4,
3,
2,
2,
2,
3,
3,
4,
2,
2,
4,
3,
2,
2,
3,
3,
4,
2,
3,
3,
2,
3,
3,
2,
2,
3,
3,
3,
2,
1,
4,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
5,
2,
4,
4,
1,
3,
1,
2,
2,
4,
2,
3,
2,
2,
4,
6,
3,
3,
4,
3,
2,
5,
5,
4,
2,
4,
4,
4,
4,
2,
2,
4,
2,
2,
2,
4,
5,
3,
2,
2,
3,
3,
4,
4,
4,
3,
3,
3,
5,
3,
3,
3,
3,
2,
5,
2,
2,
2,
3,
2,
1,
2,
2,
3,
5,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
3,
2,
4,
4,
4,
3,
4,
4,
2,
4,
6,
2,
3,
3,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
4,
2,
4,
3,
4,
4,
2,
1,
2,
3,
2,
3,
3,
3,
5,
8,
3,
3,
4,
1,
3,
3,
3,
3,
3,
3,
3,
2,
5,
3,
1,
2,
2,
2,
3,
2,
5,
1,
5,
2,
2,
2,
4,
6,
1,
4,
4,
4,
5,
2,
4,
4,
4,
3,
3,
4,
2,
4,
2,
2,
5,
4,
4,
3,
4,
2,
2,
6,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
4,
2,
2,
8,
2,
2,
3,
4,
4,
5,
4,
2,
3,
4,
4,
2,
4,
4,
2,
4,
2,
2,
3,
5,
2,
1,
1,
1,
4,
1,
4,
1,
2,
3,
3,
1,
2,
2,
2,
3,
2,
2,
2,
3,
2,
3,
3,
3,
2,
1,
2,
2,
4,
3,
3,
3,
2,
2,
2,
4,
6,
3,
4,
4,
2,
3,
3,
4,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
5,
5,
5,
4,
4,
3,
3,
2,
4,
3,
2,
4,
2,
3,
3,
3,
4,
3,
3,
2,
3,
4,
4,
4,
3,
4,
4,
3,
5,
5,
4,
3,
4,
2,
2,
2,
4,
1,
3,
3,
2,
2,
2,
4,
3,
2,
6,
2,
2,
3,
4,
2,
2,
3,
4,
3,
3,
3,
3,
7,
3,
3,
2,
5,
3,
7,
2,
2,
2,
3,
4,
3,
2,
2,
4,
2,
3,
3,
2,
2,
4,
3,
3,
4,
4,
3,
4,
6,
4,
4,
4,
2,
2,
3,
4,
3,
3,
2,
3,
3,
3,
2,
3,
4,
5,
4,
3,
2,
3,
3,
2,
2,
1,
3,
2,
1,
4,
2,
2,
3,
3,
3,
5,
3,
4,
5,
4,
2,
2,
3,
4,
3,
3,
3,
2,
3,
3,
3,
4,
6,
5,
4,
2,
2,
2,
1,
2,
2,
2,
5,
3,
2,
1,
2,
1,
1,
2,
5,
4,
2,
2,
2,
3,
3,
2,
2,
2,
4,
5,
4,
2,
2,
1,
2,
1,
1,
2,
4,
4,
2,
4,
2,
4,
4,
3,
3,
3,
3,
3,
4,
2,
3,
2,
4,
3,
3,
4,
2,
4,
4,
4,
2,
3,
3,
2,
4,
2,
2,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
5,
4,
3,
2,
6,
6,
5,
4,
3,
2,
3,
3,
2,
2,
3,
5,
3,
4,
3,
4,
4,
4,
2,
2,
3,
2,
3,
3,
4,
3,
3,
2,
3,
2,
3,
5,
5,
7,
3,
4,
4,
3,
2,
2,
4,
4,
4,
4,
6,
7,
3,
2,
2,
3,
3,
2,
4,
3,
4,
6,
1,
4,
1,
2,
2,
3,
2,
3,
5,
5,
4,
3,
3,
3,
3,
3,
4,
3,
2,
2,
4,
4,
3,
3,
4,
3,
3,
4,
3,
1,
3,
7,
4,
4,
2,
3,
4,
3,
4,
3,
3,
4,
4,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
4,
4,
2,
5,
2,
2,
4,
1,
3,
2,
3,
2,
3,
3,
3,
3,
4,
4,
2,
2,
3,
3,
4,
5,
2,
4,
3,
3,
3,
3,
6,
2,
2,
3,
3,
3,
5,
3,
3,
3,
3,
3,
4,
4,
5,
2,
4,
3,
3,
4,
2,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
4,
5,
3,
5,
3,
2,
3,
2,
2,
4,
3,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
3,
2,
3,
4,
8,
4,
4,
4,
5,
4,
2,
1,
4,
2,
2,
3,
4,
4,
4,
2,
3,
4,
3,
4,
4,
5,
5,
3,
3,
3,
5,
4,
4,
3,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
3,
3,
4,
4,
3,
4,
4,
5,
4,
2,
3,
3,
3,
3,
2,
3,
2,
3,
3,
4,
2,
5,
4,
2,
4,
4,
2,
4,
4,
2,
2,
4,
3,
3,
3,
6,
3,
2,
2,
2,
3,
3,
4,
4,
3,
3,
2,
3,
2,
5,
4,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
2,
1,
3,
4,
4,
1,
3,
3,
4,
3,
2,
3,
3,
3,
4,
2,
3,
4,
4,
5,
3,
2,
2,
2,
5,
3,
3,
3,
3,
3,
4,
6,
2,
8,
2,
1,
2,
2,
4,
4,
2,
2,
3,
3,
3,
2,
3,
4,
3,
3,
2,
5,
4,
5,
4,
3,
5,
5,
6,
4,
8,
3,
6,
4,
1,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
3,
6,
2,
7,
7,
4,
4,
2,
3,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
2,
2,
3,
4,
4,
4,
4,
2,
3,
3,
4,
2,
4,
4,
2,
3,
4,
2,
2,
4,
6,
3,
4,
5,
4,
4,
4,
4,
5,
3,
5,
4,
2,
5,
5,
2,
3,
2,
2,
2,
2,
2,
4,
2,
4,
3,
2,
3,
4,
5,
4,
4,
8,
2,
2,
2,
3,
2,
2,
3,
5,
4,
4,
3,
4,
2,
5,
2,
2,
4,
2,
4,
2,
2,
4,
4,
2,
2,
4,
2,
4,
4,
2,
3,
2,
2,
3,
2,
2,
3,
4,
2,
2,
4,
2,
2,
3,
2,
2,
3,
4,
3,
3,
3,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
5,
4,
5,
4,
3,
5,
2,
2,
4,
4,
2,
2,
2,
2,
4,
4,
4,
2,
4,
2,
4,
4,
2,
2,
3,
2,
3,
5,
5,
3,
2,
2,
2,
5,
2,
8,
5,
2,
2,
2,
3,
3,
3,
3,
6,
6,
5,
3,
2,
2,
5,
3,
5,
2,
2,
2,
3,
3,
3,
5,
2,
3,
3,
1,
4,
3,
4,
6,
3,
2,
4,
3,
6,
2,
2,
4,
4,
2,
4,
5,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
3,
2,
4,
5,
4,
2,
4,
4,
3,
4,
2,
2,
2,
4,
4,
3,
5,
5,
3,
7,
2,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
2,
3,
4,
2,
2,
1,
3,
6,
3,
3,
4,
2,
4,
4,
2,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
3,
3,
6,
3,
2,
2,
2,
4,
3,
3,
4,
2,
4,
2,
2,
3,
2,
3,
2,
6,
2,
2,
2,
3,
4,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
3,
2,
4,
3,
2,
2,
3,
4,
2,
3,
5,
3,
2,
3,
2,
9,
3,
3,
5,
2,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
4,
4,
2,
2,
2,
2,
4,
4,
2,
3,
3,
3,
4,
1,
5,
2,
5,
3,
5,
3,
4,
3,
4,
3,
4,
4,
2,
4,
2,
4,
3,
3,
3,
3,
2,
5,
2,
3,
4,
2,
2,
2,
4,
3,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
4,
5,
4,
5,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
2,
4,
2,
4,
4,
5,
4,
7,
4,
2,
2,
2,
3,
6,
2,
2,
4,
3,
3,
4,
4,
3,
4,
2,
2,
6,
6,
4,
2,
2,
4,
2,
3,
4,
4,
3,
3,
2,
2,
3,
7,
4,
2,
3,
3,
4,
4,
4,
5,
4,
5,
5,
5,
2,
3,
2,
1,
2,
1,
2,
2,
2,
3,
2,
3,
2,
2,
4,
2,
4,
1,
5,
5,
2,
3,
5,
5,
5,
3,
4,
3,
3,
1,
1,
1,
2,
4,
2,
2,
7,
2,
2,
4,
4,
4,
4,
3,
2,
2,
2,
4,
2,
4,
5,
4,
2,
3,
2,
3,
3,
4,
2,
4,
3,
7,
4,
6,
3,
2,
2,
2,
4,
4,
3,
3,
3,
2,
2,
3,
3,
3,
2,
4,
2,
3,
2,
4,
4,
2,
4,
3,
4,
4,
2,
3,
3,
2,
2,
4,
4,
3,
3,
2,
3,
5,
2,
3,
6,
3,
3,
2,
2,
2,
4,
4,
2,
3,
4,
5,
4,
5,
2,
3,
2,
2,
2,
3,
3,
3,
3,
5,
3,
2,
2,
7,
4,
2,
2,
4,
3,
4,
3,
2,
2,
3,
3,
5,
2,
2,
5,
5,
7,
5,
3,
3,
6,
4,
5,
3,
3,
3,
6,
2,
2,
2,
3,
3,
2,
2,
3,
3,
2,
2,
2,
4,
2,
2,
2,
3,
4,
2,
4,
2,
4,
2,
2,
4,
3,
2,
4,
2,
2,
2,
4,
3,
10,
2,
2,
4,
5,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
3,
4,
2,
3,
3,
3,
3,
3,
2,
3,
2,
5,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
1,
2,
2,
4,
3,
2,
5,
3,
3,
5,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
2,
3,
3,
4,
2,
2,
2,
4,
3,
1,
2,
4,
3,
2,
1,
3,
3,
3,
6,
3,
2,
4,
4,
4,
4,
4,
2,
3,
5,
3,
4,
2,
4,
4,
4,
4,
3,
3,
2,
2,
4,
3,
2,
3,
3,
3,
3,
2,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
3,
4,
3,
2,
2,
3,
2,
2,
3,
2,
4,
2,
3,
2,
2,
3,
2,
3,
2,
3,
3,
2,
4,
1,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
1,
4,
4,
7,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
3,
3,
1,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
3,
2,
1,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
2,
3,
2,
6,
5,
4,
4,
4,
4,
4,
1,
2,
2,
2,
2,
3,
3,
4,
2,
4,
2,
2,
4,
4,
4,
2,
2,
3,
4,
5,
3,
4,
7,
4,
5,
6,
2,
2,
2,
4,
4,
9,
2,
2,
4,
2,
4,
4,
4,
2,
2,
2,
1,
4,
4,
2,
4,
4,
2,
2,
3,
2,
2,
3,
2,
4,
4,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
3,
3,
3,
2,
4,
3,
6,
4,
2,
2,
2,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
3,
4,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
3,
4,
4,
4,
2,
4,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
4,
2,
3,
5,
2,
2,
3,
3,
4,
2,
1,
2,
4,
4,
4,
3,
2,
4,
5,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
3,
4,
2,
2,
2,
2,
4,
3,
2,
4,
4,
3,
4,
1,
3,
2,
2,
3,
2,
2,
7,
4,
3,
2,
3,
3,
2,
4,
4,
4,
2,
2,
2,
3,
6,
4,
3,
2,
2,
2,
2,
4,
3,
2,
3,
4,
6,
6,
5,
4,
3,
3,
3,
3,
2,
2,
6,
3,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
4,
6,
3,
3,
3,
3,
3,
5,
3,
4,
3,
5,
5,
2,
4,
2,
5,
2,
4,
2,
2,
4,
5,
2,
2,
2,
2,
4,
3,
2,
3,
2,
2,
2,
3,
2,
2,
2,
4,
2,
2,
4,
4,
4,
4,
4,
3,
4,
2,
4,
3,
4,
3,
4,
4,
5,
4,
4,
3,
2,
3,
3,
3,
2,
2,
2,
4,
3,
2,
4,
4,
2,
2,
3,
3,
2,
3,
4,
4,
4,
3,
2,
3,
2,
2,
1,
3,
3,
3,
2,
2,
2,
1,
3,
4,
2,
3,
3,
3,
4,
4,
2,
1,
5,
2,
2,
2,
5,
2,
2,
4,
2,
2,
4,
4,
4,
3,
3,
5,
3,
3,
6,
7,
4,
4,
4,
4,
2,
5,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
1,
3,
3,
2,
2,
3,
6,
2,
3,
4,
3,
2,
2,
2,
4,
4,
4,
2,
2,
3,
4,
3,
4,
4,
3,
4,
2,
2,
3,
5,
3,
2,
2,
3,
4,
4,
4,
3,
2,
3,
3,
4,
2,
3,
3,
2,
2,
3,
3,
3,
2,
2,
4,
5,
2,
4,
4,
3,
3,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
5,
5,
2,
4,
2,
2,
4,
5,
2,
4,
2,
4,
2,
4,
2,
3,
3,
2,
2,
3,
2,
2,
2,
2,
4,
4,
4,
2,
2,
4,
5,
4,
2,
3,
7,
5,
2,
2,
2,
3,
1,
4,
3,
2,
2,
2,
3,
2,
4,
2,
5,
4,
2,
4,
2,
4,
3,
4,
2,
4,
2,
3,
3,
3,
2,
5,
5,
6,
4,
4,
3,
2,
7,
6,
4,
5,
4,
5,
4,
5,
4,
5,
4,
2,
4,
4,
4,
4,
3,
1,
3,
5,
2,
2,
2,
4,
6,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
5,
4,
2,
3,
2,
2,
4,
5,
3,
4,
3,
3,
2,
4,
4,
4,
4,
2,
1,
2,
2,
3,
3,
2,
3,
2,
4,
2,
4,
2,
2,
5,
2,
4,
2,
3,
3,
2,
2,
2,
2,
2,
5,
3,
5,
4,
2,
3,
2,
3,
3,
2,
3,
2,
2,
3,
4,
4,
2,
2,
3,
5,
3,
2,
3,
3,
3,
2,
3,
3,
2,
2,
3,
5,
3,
3,
5,
6,
4,
2,
2,
3,
2,
2,
3,
2,
2,
4,
2,
6,
3,
3,
3,
3,
3,
6,
4,
5,
3,
1,
3,
4,
2,
4,
4,
3,
4,
6,
3,
4,
4,
4,
5,
3,
3,
2,
4,
2,
2,
2,
3,
4,
4,
3,
2,
3,
3,
3,
2,
5,
4,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
4,
4,
4,
3,
3,
5,
2,
2,
2,
5,
3,
3,
3,
4,
4,
3,
4,
5,
6,
3,
6,
6,
3,
3,
2,
4,
6,
4,
4,
4,
2,
2,
5,
2,
3,
2,
6,
4,
2,
4,
4,
3,
4,
2,
2,
3,
3,
4,
4,
2,
6,
2,
3,
3,
2,
4,
4,
4,
2,
4,
4,
2,
2,
3,
3,
4,
2,
3,
4,
3,
3,
2,
2,
4,
2,
4,
2,
5,
5,
4,
4,
5,
2,
2,
2,
3,
3,
5,
2,
2,
5,
3,
3,
3,
3,
4,
4,
2,
2,
2,
4,
2,
6,
6,
2,
2,
4,
2,
2,
4,
4,
2,
3,
5,
4,
3,
4,
3,
3,
4,
4,
4,
4,
4,
3,
2,
3,
4,
4,
4,
4,
2,
2,
2,
4,
3,
4,
2,
2,
4,
3,
3,
2,
3,
3,
4,
4,
4,
4,
3,
4,
5,
5,
4,
5,
5,
2,
2,
4,
4,
4,
6,
4,
2,
2,
2,
2,
2,
2,
6,
4,
4,
3,
4,
4,
3,
2,
3,
3,
4,
2,
2,
4,
4,
3,
3,
3,
4,
3,
4,
3,
4,
2,
4,
2,
2,
4,
4,
4,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
3,
4,
5,
4,
2,
3,
2,
3,
2,
2,
4,
5,
5,
6,
2,
3,
2,
3,
5,
2,
4,
2,
4,
3,
2,
4,
2,
2,
3,
3,
2,
3,
3,
3,
2,
4,
2,
3,
2,
2,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
1,
1,
4,
4,
4,
5,
4,
3,
3,
3,
4,
4,
4,
3,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
5,
4,
4,
3,
2,
2,
2,
2,
3,
4,
3,
2,
3,
2,
5,
3,
3,
3,
6,
3,
3,
3,
3,
3,
3,
4,
6,
6,
3,
3,
3,
3,
6,
6,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
3,
4,
4,
4,
6,
7,
4,
2,
4,
4,
3,
4,
5,
3,
7,
2,
2,
2,
3,
2,
4,
2,
2,
2,
2,
5,
4,
2,
2,
4,
5,
2,
2,
2,
6,
4,
3,
2,
2,
2,
2,
3,
5,
2,
3,
4,
3,
4,
5,
2,
6,
2,
6,
2,
4,
3,
1,
6,
6,
2,
3,
2,
2,
3,
2,
2,
3,
2,
2,
4,
3,
2,
3,
2,
2,
4,
3,
3,
4,
4,
2,
3,
4,
4,
7,
3,
2,
1,
4,
4,
6,
4,
4,
4,
3,
4,
2,
2,
2,
2,
3,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
8,
7,
2,
3,
3,
3,
3,
2,
4,
2,
2,
4,
2,
4,
4,
2,
3,
3,
2,
3,
2,
5,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
4,
3,
3,
2,
3,
4,
4,
2,
2,
4,
4,
2,
6,
5,
3,
4,
3,
3,
2,
3,
4,
2,
2,
4,
3,
3,
3,
3,
5,
7,
4,
2,
5,
2,
2,
2,
2,
3,
4,
4,
3,
4,
4,
4,
3,
3,
4,
2,
3,
4,
4,
3,
2,
3,
4,
2,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
2,
4,
2,
3,
4,
3,
2,
3,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
5,
3,
3,
4,
3,
2,
3,
4,
2,
3,
4,
4,
3,
2,
2,
8,
4,
2,
2,
5,
4,
5,
2,
7,
3,
3,
3,
2,
3,
3,
3,
2,
3,
3,
2,
4,
4,
4,
5,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
2,
4,
2,
3,
2,
2,
2,
2,
3,
2,
3,
4,
2,
4,
4,
2,
4,
4,
3,
3,
3,
2,
3,
2,
3,
3,
3,
3,
2,
3,
3,
5,
2,
2,
2,
3,
4,
3,
6,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
5,
2,
2,
4,
4,
4,
5,
3,
5,
4,
2,
3,
3,
2,
4,
5,
4,
2,
2,
2,
6,
2,
4,
4,
3,
2,
2,
4,
4,
4,
3,
4,
4,
4,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
2,
4,
3,
4,
4,
4,
6,
6,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
4,
3,
2,
4,
3,
3,
3,
2,
3,
2,
3,
3,
2,
3,
3,
3,
7,
2,
3,
1,
4,
4,
4,
5,
5,
5,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
5,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
4,
6,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
3,
3,
5,
2,
4,
4,
4,
2,
5,
2,
2,
4,
4,
2,
2,
4,
2,
3,
3,
5,
4,
6,
2,
2,
2,
2,
2,
4,
3,
4,
3,
2,
3,
2,
5,
2,
2,
4,
1,
3,
2,
3,
3,
3,
2,
2,
2,
3,
4,
3,
2,
2,
3,
4,
4,
5,
3,
2,
2,
2,
4,
5,
6,
3,
3,
3,
3,
5,
2,
1,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
2,
3,
3,
3,
2,
4,
4,
3,
3,
4,
4,
4,
5,
4,
3,
3,
3,
2,
5,
4,
1,
2,
3,
5,
4,
4,
3,
2,
3,
4,
4,
4,
3,
4,
4,
3,
3,
6,
5,
4,
2,
7,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
4,
4,
2,
4,
3,
3,
2,
2,
4,
4,
6,
4,
4,
4,
4,
3,
2,
3,
4,
7,
2,
5,
3,
3,
3,
3,
2,
4,
2,
4,
4,
2,
3,
2,
3,
2,
1,
3,
4,
4,
4,
4,
3,
3,
6,
3,
3,
7,
3,
3,
3,
4,
4,
4,
4,
3,
4,
2,
2,
2,
6,
2,
3,
3,
3,
2,
2,
3,
4,
3,
3,
3,
3,
3,
4,
4,
4,
2,
4,
2,
2,
4,
4,
3,
4,
2,
2,
4,
4,
4,
5,
3,
4,
3,
4,
4,
2,
2,
1,
2,
2,
2,
2,
6,
2,
4,
4,
4,
2,
4,
2,
3,
2,
2,
2,
3,
4,
2,
2,
4,
4,
2,
3,
4,
4,
2,
3,
3,
3,
4,
3,
2,
5,
3,
3,
2,
3,
5,
3,
2,
4,
4,
4,
4,
3,
2,
2,
2,
2,
3,
2,
2,
7,
2,
2,
2,
2,
2,
2,
1,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
3,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
2,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
3,
1,
4,
2,
2,
4,
3,
3,
3,
5,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
2,
4,
2,
3,
3,
2,
7,
5,
2,
3,
3,
4,
3,
1,
2,
3,
3,
1,
1,
2,
4,
2,
4,
4,
4,
2,
2,
4,
4,
3,
3,
2,
3,
2,
2,
3,
3,
2,
3,
3,
3,
2,
2,
4,
4,
4,
3,
2,
2,
5,
3,
3,
2,
4,
4,
4,
4,
2,
2,
3,
4,
3,
4,
2,
4,
3,
4,
4,
2,
4,
2,
4,
3,
3,
2,
4,
4,
1,
4,
2,
2,
2,
3,
1,
1,
5,
3,
3,
2,
3,
5,
3,
2,
2,
2,
5,
4,
6,
3,
2,
3,
4,
4,
4,
2,
2,
2,
2,
2,
3,
4,
4,
3,
5,
2,
2,
3,
3,
3,
2,
2,
3,
4,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
2,
2,
4,
2,
4,
2,
4,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
5,
3,
4,
3,
3,
2,
2,
3,
4,
5,
4,
4,
2,
2,
4,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
3,
4,
4,
3,
4,
4,
4,
4,
4,
5,
2,
4,
4,
2,
2,
2,
3,
2,
3,
2,
2,
3,
2,
2,
4,
4,
4,
10,
4,
2,
3,
4,
2,
4,
4,
5,
5,
5,
7,
6,
3,
3,
5,
4,
2,
2,
3,
2,
2,
3,
2,
3,
4,
6,
3,
3,
3,
3,
3,
4,
5,
4,
5,
4,
4,
3,
2,
3,
1,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
4,
2,
3,
5,
3,
4,
4,
4,
3,
4,
5,
4,
5,
2,
3,
2,
2,
3,
2,
2,
2,
4,
2,
2,
3,
3,
2,
4,
4,
4,
2,
3,
2,
2,
3,
4,
3,
4,
4,
4,
2,
6,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
3,
4,
2,
1,
4,
5,
4,
1,
4,
3,
2,
2,
2,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
4,
2,
4,
3,
2,
2,
4,
4,
2,
3,
3,
5,
4,
3,
5,
2,
4,
2,
2,
2,
2,
2,
2,
5,
2,
2,
3,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
5,
5,
4,
3,
3,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
2,
1,
1,
3,
2,
6,
4,
3,
4,
4,
4,
2,
5,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
2,
2,
1,
3,
2,
4,
5,
2,
2,
2,
2,
2,
2,
3,
1,
4,
2,
4,
2,
2,
2,
4,
5,
2,
4,
6,
8,
3,
4,
7,
7,
2,
2,
2,
2,
4,
2,
4,
2,
2,
2,
2,
3,
5,
2,
2,
3,
3,
2,
3,
2,
4,
2,
2,
2,
3,
2,
4,
3,
4,
3,
4,
3,
2,
3,
2,
4,
4,
4,
2,
4,
3,
1,
2,
3,
2,
3,
2,
2,
4,
4,
3,
2,
4,
5,
3,
2,
3,
3,
2,
2,
3,
2,
2,
2,
4,
2,
5,
4,
3,
5,
5,
2,
4,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
4,
2,
3,
2,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
5,
4,
2,
3,
3,
4,
5,
3,
4,
3,
7,
2,
2,
3,
4,
2,
2,
6,
2,
2,
2,
2,
2,
4,
5,
4,
3,
1,
2,
4,
3,
4,
4,
3,
3,
5,
5,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
2,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
3,
6,
4,
3,
4,
3,
3,
2,
2,
5,
5,
3,
7,
5,
3,
2,
3,
5,
3,
3,
3,
3,
6,
4,
4,
3,
2,
2,
4,
4,
2,
4,
2,
1,
2,
1,
2,
4,
3,
4,
1,
7,
5,
3,
4,
4,
4,
3,
3,
1,
1,
3,
3,
1,
1,
1,
1,
2,
2,
3,
4,
1,
3,
3,
3,
2,
2,
5,
2,
3,
4,
5,
5,
2,
7,
4,
7,
3,
2,
4,
2,
2,
3,
3,
4,
4,
2,
4,
4,
4,
2,
3,
2,
4,
4,
3,
1,
3,
5,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
3,
2,
3,
2,
3,
3,
4,
3,
6,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
5,
4,
3,
4,
4,
4,
6,
4,
4,
2,
2,
3,
4,
5,
2,
4,
2,
3,
6,
6,
3,
5,
3,
2,
2,
1,
2,
3,
3,
3,
5,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
3,
4,
3,
2,
3,
3,
3,
3,
2,
3,
3,
4,
3,
3,
3,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
3,
4,
4,
3,
2,
4,
3,
2,
3,
3,
2,
2,
2,
3,
3,
2,
3,
2,
2,
2,
4,
2,
5,
3,
5,
4,
4,
4,
4,
2,
4,
4,
2,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
3,
4,
3,
2,
3,
2,
4,
4,
2,
5,
4,
3,
2,
5,
3,
2,
2,
2,
2,
3,
2,
3,
5,
2,
5,
5,
5,
1,
3,
2,
2,
1,
1,
2,
2,
2,
4,
2,
3,
3,
3,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
4,
4,
2,
2,
3,
4,
4,
2,
2,
4,
2,
4,
4,
5,
5,
5,
3,
5,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
7,
5,
2,
3,
2,
4,
4,
6,
4,
6,
4,
3,
4,
4,
4,
4,
4,
2,
2,
3,
3,
5,
3,
3,
2,
3,
4,
2,
4,
3,
4,
2,
3,
3,
5,
2,
4,
3,
4,
2,
4,
3,
5,
3,
4,
3,
1,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
4,
8,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
5,
2,
5,
5,
3,
4,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
3,
4,
3,
4,
3,
3,
1,
5,
2,
4,
4,
3,
3,
3,
2,
3,
3,
4,
1,
2,
6,
6,
2,
2,
4,
4,
4,
4,
5,
5,
3,
2,
8,
2,
4,
3,
3,
2,
3,
2,
3,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
2,
4,
2,
3,
4,
2,
5,
5,
3,
2,
4,
4,
3,
4,
4,
4,
2,
4,
4,
4,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
7,
3,
3,
3,
4,
2,
4,
2,
2,
3,
3,
5,
4,
4,
3,
3,
7,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
4,
4,
5,
4,
8,
4,
4,
4,
4,
2,
3,
3,
2,
5,
5,
4,
3,
2,
3,
2,
3,
3,
2,
3,
4,
5,
4,
3,
3,
2,
5,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
1,
3,
3,
4,
2,
4,
3,
2,
3,
4,
3,
2,
2,
1,
1,
5,
2,
4,
2,
3,
4,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
4,
4,
3,
4,
4,
4,
3,
6,
7,
5,
2,
4,
4,
4,
3,
4,
3,
2,
2,
1,
2,
2,
3,
3,
4,
3,
4,
3,
2,
2,
2,
3,
3,
4,
3,
2,
4,
4,
5,
4,
5,
2,
2,
7,
5,
5,
2,
3,
3,
3,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
5,
4,
5,
4,
4,
3,
4,
2,
1,
4,
5,
4,
2,
3,
4,
2,
4,
3,
3,
4,
3,
2,
3,
2,
3,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
5,
3,
2,
2,
4,
4,
2,
3,
3,
5,
2,
4,
2,
2,
4,
5,
6,
2,
4,
2,
3,
4,
4,
4,
2,
2,
2,
2,
2,
4,
1,
2,
2,
4,
5,
1,
3,
2,
8,
3,
4,
3,
2,
3,
4,
2,
3,
3,
5,
3,
2,
2,
2,
1,
2,
1,
4,
2,
1,
2,
4,
3,
2,
2,
5,
3,
4,
4,
4,
4,
4,
1,
2,
3,
6,
3,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
4,
3,
3,
5,
2,
2,
2,
5,
2,
2,
2,
2,
8,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
4,
3,
3,
4,
3,
4,
2,
2,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
1,
2,
2,
2,
3,
4,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
4,
2,
2,
4,
2,
2,
3,
2,
2,
2,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
3,
2,
1,
2,
2,
3,
4,
4,
2,
3,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
2,
2,
3,
4,
2,
4,
3,
2,
2,
3,
4,
2,
2,
2,
2,
4,
4,
2,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
2,
3,
4,
2,
2,
2,
3,
3,
3,
5,
3,
2,
3,
3,
1,
1,
2,
3,
5,
2,
4,
5,
2,
2,
2,
3,
3,
2,
2,
3,
2,
4,
2,
3,
3,
3,
2,
2,
2,
3,
5,
4,
4,
2,
2,
2,
2,
2,
2,
2,
6,
2,
4,
3,
2,
2,
4,
1,
6,
2,
3,
3,
3,
4,
4,
3,
3,
4,
4,
4,
4,
3,
4,
4,
2,
5,
3,
2,
4,
4,
5,
3,
2,
4,
4,
2,
4,
2,
2,
2,
2,
7,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
4,
2,
4,
4,
4,
2,
2,
3,
2,
2,
4,
4,
6,
8,
4,
3,
3,
3,
4,
5,
5,
4,
4,
4,
3,
3,
4,
2,
4,
2,
3,
4,
2,
2,
2,
3,
4,
3,
2,
2,
2,
2,
2,
3,
4,
4,
3,
2,
3,
5,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
3,
5,
2,
4,
1,
2,
3,
3,
3,
2,
2,
4,
4,
3,
3,
4,
4,
2,
1,
3,
3,
2,
2,
3,
2,
4,
3,
2,
3,
2,
3,
2,
2,
2,
2,
1,
2,
2,
4,
3,
2,
3,
4,
2,
2,
2,
2,
3,
2,
5,
3,
3,
3,
4,
3,
6,
6,
2,
3,
3,
3,
3,
5,
3,
4,
4,
2,
4,
2,
2,
2,
4,
2,
2,
4,
3,
3,
2,
2,
3,
2,
2,
3,
3,
2,
2,
3,
2,
3,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
5,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
4,
2,
3,
2,
4,
6,
5,
4,
4,
1,
4,
3,
3,
2,
3,
2,
3,
3,
4,
5,
6,
2,
4,
5,
4,
1,
1,
3,
3,
4,
5,
5,
4,
3,
4,
3,
6,
5,
2,
4,
5,
2,
3,
4,
4,
5,
4,
2,
2,
4,
4,
3,
7,
4,
3,
2,
3,
3,
4,
5,
4,
3,
3,
2,
2,
2,
2,
2,
1,
4,
3,
2,
2,
2,
2,
2,
2,
4,
2,
3,
4,
4,
5,
2,
2,
3,
3,
2,
3,
7,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
3,
2,
1,
3,
3,
4,
2,
3,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
3,
2,
3,
5,
2,
5,
2,
2,
7,
5,
5,
5,
2,
4,
5,
3,
4,
3,
2,
3,
3,
4,
3,
2,
4,
4,
4,
4,
2,
2,
4,
2,
2,
8,
4,
6,
6,
2,
2,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
3,
4,
2,
4,
3,
3,
5,
2,
3,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
6,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
3,
3,
2,
4,
4,
2,
4,
4,
3,
4,
3,
3,
3,
2,
4,
4,
3,
2,
4,
3,
4,
6,
2,
5,
2,
2,
2,
2,
3,
3,
4,
6,
5,
5,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
6,
4,
4,
5,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
1,
2,
2,
2,
2,
2,
2,
2,
2,
6,
2,
5,
4,
2,
2,
4,
2,
4,
4,
4,
3,
4,
4,
3,
3,
4,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
4,
2,
2,
4,
2,
4,
4,
5,
4,
4,
4,
3,
5,
2,
2,
4,
1,
4,
2,
3,
3,
2,
4,
2,
2,
4,
4,
4,
8,
4,
2,
4,
4,
1,
4,
2,
2,
2,
5,
4,
2,
3,
3,
3,
4,
4,
4,
2,
4,
2,
3,
3,
3,
2,
5,
5,
2,
4,
4,
4,
4,
4,
4,
3,
6,
3,
3,
3,
3,
3,
3,
2,
5,
2,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
2,
4,
2,
6,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
3,
3,
4,
3,
3,
3,
4,
3,
3,
3,
2,
2,
3,
3,
5,
2,
2,
2,
2,
3,
3,
2,
2,
4,
3,
2,
2,
4,
3,
4,
8,
5,
4,
4,
4,
4,
4,
3,
3,
3,
4,
2,
2,
1,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
2,
4,
3,
2,
2,
3,
2,
3,
2,
3,
3,
2,
4,
2,
2,
3,
5,
5,
1,
2,
4,
4,
4,
2,
4,
4,
4,
6,
4,
3,
4,
2,
2,
2,
4,
4,
3,
4,
5,
5,
3,
4,
3,
3,
3,
2,
2,
3,
4,
2,
3,
3,
4,
4,
4,
3,
4,
3,
3,
3,
4,
5,
5,
2,
4,
2,
2,
4,
5,
2,
2,
3,
3,
2,
3,
3,
2,
4,
3,
2,
1,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
2,
3,
3,
2,
4,
3,
2,
2,
2,
3,
3,
2,
1,
1,
3,
3,
3,
3,
3,
4,
3,
4,
2,
1,
4,
4,
4,
4,
4,
5,
3,
7,
4,
2,
7,
3,
3,
5,
6,
3,
8,
3,
3,
3,
4,
4,
3,
4,
6,
2,
6,
4,
2,
2,
2,
4,
4,
5,
4,
2,
4,
2,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
2,
3,
5,
7,
3,
3,
3,
2,
4,
4,
3,
3,
1,
3,
3,
3,
3,
2,
2,
2,
4,
3,
2,
3,
3,
2,
3,
8,
4,
3,
4,
4,
2,
2,
4,
4,
2,
3,
4,
4,
5,
4,
5,
2,
4,
2,
4,
4,
3,
8,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
3,
5,
5,
5,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
6,
4,
2,
1,
2,
3,
3,
3,
3,
2,
4,
4,
4,
4,
2,
2,
3,
3,
2,
4,
4,
2,
4,
4,
5,
4,
4,
4,
4,
3,
5,
7,
3,
3,
4,
5,
2,
2,
4,
2,
2,
3,
3,
5,
6,
4,
4,
3,
4,
2,
2,
4,
3,
2,
3,
6,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
1,
3,
2,
8,
4,
3,
2,
4,
4,
3,
3,
3,
3,
2,
2,
3,
5,
4,
4,
5,
3,
4,
4,
4,
4,
4,
4,
6,
4,
4,
4,
4,
4,
3,
5,
3,
3,
3,
3,
2,
3,
4,
7,
3,
2,
4,
2,
2,
3,
2,
5,
4,
7,
2,
6,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
2,
2,
2,
4,
3,
2,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
3,
4,
3,
2,
4,
2,
2,
3,
4,
4,
3,
2,
2,
3,
2,
3,
3,
4,
2,
3,
2,
4,
3,
2,
3,
4,
3,
4,
4,
5,
2,
4,
3,
4,
4,
2,
2,
2,
4,
4,
4,
4,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
4,
3,
2,
2,
3,
2,
2,
4,
4,
3,
4,
2,
4,
4,
4,
4,
4,
5,
2,
4,
4,
3,
3,
4,
2,
2,
2,
2,
6,
4,
2,
3,
2,
2,
5,
2,
6,
3,
3,
2,
2,
2,
7,
2,
3,
2,
2,
2,
2,
3,
2,
3,
4,
2,
2,
2,
2,
2,
4,
3,
3,
1,
2,
3,
2,
4,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
5,
5,
4,
2,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
6,
2,
2,
4,
4,
4,
4,
2,
3,
2,
2,
4,
5,
2,
2,
4,
4,
2,
2,
3,
2,
2,
4,
2,
3,
3,
4,
3,
3,
4,
4,
4,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
5,
4,
4,
2,
3,
2,
4,
5,
4,
4,
2,
3,
2,
2,
2,
3,
3,
5,
2,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
5,
3,
2,
2,
5,
1,
2,
3,
3,
3,
2,
4,
3,
4,
4,
2,
4,
2,
4,
5,
2,
2,
3,
3,
2,
2,
1,
2,
2,
2,
2,
2,
7,
4,
3,
2,
2,
4,
2,
4,
4,
4,
3,
3,
3,
4,
3,
3,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
3,
2,
4,
2,
4,
3,
2,
4,
1,
2,
2,
4,
4,
2,
4,
4,
5,
5,
3,
3,
4,
3,
5,
7,
3,
4,
5,
4,
2,
2,
3,
3,
3,
4,
2,
2,
6,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
1,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
1,
1,
1,
2,
2,
3,
2,
5,
2,
4,
2,
4,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
2,
2,
2,
3,
4,
4,
3,
3,
2,
3,
4,
2,
3,
3,
4,
5,
2,
2,
2,
1,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
4,
6,
5,
4,
2,
4,
4,
4,
4,
6,
3,
3,
4,
3,
4,
3,
3,
2,
2,
3,
3,
3,
4,
3,
3,
5,
5,
4,
2,
2,
2,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
1,
4,
2,
6,
3,
3,
4,
4,
4,
4,
4,
4,
2,
6,
4,
5,
5,
2,
5,
5,
5,
4,
4,
4,
4,
5,
4,
4,
4,
2,
5,
5,
5,
3,
3,
2,
3,
4,
6,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
2,
4,
2,
2,
3,
2,
3,
4,
4,
2,
4,
4,
3,
2,
3,
2,
2,
3,
4,
3,
3,
2,
4,
2,
3,
3,
3,
3,
2,
4,
4,
2,
4,
4,
2,
2,
3,
3,
2,
1,
3,
3,
3,
3,
7,
3,
4,
5,
4,
4,
4,
4,
4,
3,
4,
4,
4,
5,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
5,
4,
4,
4,
4,
4,
2,
2,
3,
4,
5,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
4,
4,
2,
3,
4,
2,
2,
4,
3,
5,
4,
4,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
5,
3,
2,
1,
3,
2,
2,
3,
3,
5,
4,
5,
2,
3,
4,
4,
1,
2,
3,
4,
2,
4,
3,
2,
3,
2,
2,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
5,
3,
2,
2,
2,
4,
2,
1,
4,
2,
2,
2,
2,
2,
1,
2,
2,
3,
4,
2,
2,
3,
3,
6,
2,
1,
2,
3,
2,
3,
3,
4,
3,
3,
3,
3,
4,
2,
4,
4,
4,
2,
6,
2,
2,
4,
3,
4,
4,
4,
5,
2,
2,
5,
2,
5,
2,
3,
4,
4,
6,
2,
3,
3,
3,
2,
2,
2,
7,
4,
3,
2,
2,
4,
3,
6,
4,
4,
2,
4,
4,
2,
4,
2,
2,
2,
5,
3,
3,
2,
3,
3,
3,
3,
2,
3,
4,
4,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
3,
3,
3,
3,
2,
5,
6,
1,
4,
2,
5,
5,
3,
3,
4,
2,
3,
4,
4,
3,
5,
4,
2,
4,
2,
2,
5,
4,
3,
4,
4,
4,
4,
4,
1,
4,
5,
4,
4,
3,
2,
5,
2,
4,
4,
5,
3,
4,
4,
4,
4,
4,
6,
4,
2,
2,
2,
3,
3,
7,
4,
5,
2,
3,
3,
3,
2,
2,
3,
3,
4,
4,
2,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
1,
2,
2,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
4,
2,
3,
3,
3,
3,
5,
4,
3,
2,
2,
3,
2,
2,
5,
2,
3,
6,
3,
7,
3,
3,
3,
1,
3,
4,
4,
5,
3,
3,
2,
4,
2,
2,
2,
4,
2,
4,
2,
3,
2,
4,
2,
3,
3,
4,
4,
2,
2,
3,
2,
3,
2,
5,
5,
2,
5,
4,
4,
2,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
2,
8,
2,
4,
4,
4,
3,
6,
5,
4,
4,
2,
3,
2,
3,
3,
4,
4,
6,
3,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
5,
5,
2,
2,
3,
5,
3,
3,
5,
2,
2,
3,
2,
2,
3,
3,
3,
4,
5,
3,
2,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
6,
2,
3,
2,
2,
3,
5,
3,
3,
7,
3,
1,
2,
3,
4,
4,
2,
4,
6,
2,
4,
2,
2,
2,
6,
2,
2,
5,
5,
2,
5,
4,
4,
5,
3,
4,
3,
4,
4,
4,
4,
4,
3,
4,
5,
4,
2,
2,
2,
5,
4,
3,
4,
3,
3,
3,
3,
3,
2,
3,
4,
2,
2,
2,
2,
4,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
5,
3,
3,
4,
4,
2,
2,
2,
3,
4,
4,
3,
3,
3,
2,
4,
2,
4,
2,
4,
4,
4,
3,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
6,
4,
3,
3,
3,
2,
4,
2,
2,
4,
4,
2,
4,
4,
5,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
4,
4,
4,
4,
4,
2,
4,
3,
4,
4,
3,
4,
3,
2,
2,
2,
2,
1,
5,
2,
2,
3,
2,
3,
2,
5,
5,
4,
4,
4,
3,
4,
3,
2,
3,
3,
2,
3,
3,
3,
4,
3,
5,
4,
4,
4,
2,
2,
2,
2,
4,
4,
2,
2,
4,
4,
4,
4,
5,
5,
2,
4,
2,
3,
3,
3,
3,
3,
4,
1,
3,
2,
2,
4,
3,
4,
3,
2,
3,
4,
2,
3,
1,
1,
2,
3,
3,
4,
2,
4,
2,
5,
3,
1,
3,
3,
1,
3,
2,
3,
5,
2,
4,
4,
3,
4,
2,
1,
2,
3,
4,
3,
2,
2,
5,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
5,
2,
4,
4,
4,
4,
4,
2,
1,
3,
4,
2,
2,
4,
4,
4,
3,
4,
4,
4,
3,
2,
2,
2,
3,
3,
4,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
5,
4,
4,
2,
2,
2,
2,
2,
7,
4,
5,
3,
4,
4,
1,
4,
2,
2,
5,
4,
3,
4,
3,
3,
3,
3,
4,
2,
1,
2,
3,
2,
4,
2,
2,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
4,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
4,
4,
2,
3,
3,
3,
3,
2,
4,
4,
2,
5,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
3,
4,
4,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
3,
2,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
4,
6,
4,
2,
2,
2,
3,
3,
3,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
5,
3,
4,
6,
6,
4,
4,
4,
6,
3,
8,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
5,
4,
5,
2,
3,
3,
3,
3,
2,
2,
2,
5,
3,
3,
4,
5,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
4,
2,
3,
4,
4,
2,
2,
2,
4,
4,
3,
4,
6,
3,
5,
4,
2,
4,
3,
2,
3,
6,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
3,
2,
1,
2,
5,
2,
4,
4,
3,
2,
5,
3,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
1,
3,
3,
4,
5,
2,
3,
3,
3,
2,
3,
2,
4,
2,
3,
4,
4,
4,
4,
3,
5,
5,
3,
4,
6,
4,
2,
2,
4,
1,
2,
2,
2,
4,
1,
2,
6,
6,
5,
4,
2,
2,
3,
3,
2,
5,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
2,
6,
4,
4,
3,
5,
4,
4,
7,
4,
3,
5,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
7,
4,
2,
1,
2,
2,
6,
3,
3,
7,
3,
1,
2,
1,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
5,
3,
4,
6,
4,
4,
3,
4,
5,
2,
2,
2,
2,
3,
4,
1,
1,
2,
4,
3,
4,
4,
3,
4,
4,
3,
3,
5,
4,
3,
1,
3,
2,
3,
2,
3,
4,
4,
4,
4,
2,
3,
4,
3,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
4,
4,
5,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
2,
3,
3,
3,
4,
3,
3,
2,
3,
3,
2,
2,
2,
5,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
3,
2,
4,
2,
3,
2,
2,
4,
3,
3,
2,
2,
4,
3,
3,
3,
2,
4,
2,
3,
3,
3,
3,
3,
4,
5,
3,
4,
3,
5,
3,
6,
3,
2,
4,
3,
4,
2,
2,
5,
4,
3,
3,
4,
2,
3,
3,
3,
2,
2,
2,
4,
5,
2,
2,
4,
7,
4,
4,
2,
1,
3,
4,
4,
1,
2,
3,
3,
2,
2,
3,
2,
3,
2,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
4,
4,
4,
3,
3,
5,
5,
6,
4,
4,
3,
2,
3,
4,
2,
5,
2,
4,
2,
4,
4,
4,
2,
2,
2,
5,
4,
3,
2,
3,
2,
2,
3,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
2,
2,
3,
2,
2,
4,
4,
3,
3,
3,
2,
4,
2,
2,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
3,
2,
2,
2,
4,
4,
6,
3,
3,
3,
3,
4,
2,
5,
2,
3,
3,
5,
3,
3,
4,
3,
3,
4,
3,
4,
1,
2,
2,
2,
1,
1,
2,
1,
1,
1,
1,
1,
1,
2,
2,
2,
4,
2,
1,
1,
3,
1,
4,
2,
3,
2,
3,
2,
4,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
4,
4,
4,
2,
4,
2,
2,
4,
6,
6,
3,
4,
5,
2,
3,
4,
6,
2,
2,
3,
4,
2,
2,
2,
2,
3,
2,
2,
4,
3,
2,
4,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
4,
3,
3,
1,
3,
3,
3,
3,
3,
3,
2,
3,
2,
1,
1,
2,
2,
1,
1,
2,
2,
2,
4,
6,
2,
3,
2,
2,
2,
2,
6,
2,
2,
2,
2,
2,
2,
2,
3,
2,
1,
3,
4,
2,
4,
2,
5,
3,
3,
1,
4,
4,
3,
3,
2,
2,
5,
4,
2,
2,
3,
2,
4,
2,
3,
4,
2,
2,
3,
4,
4,
4,
2,
4,
4,
5,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
4,
4,
4,
2,
5,
2,
4,
2,
2,
1,
4,
4,
5,
7,
4,
2,
2,
2,
2,
3,
2,
1,
3,
3,
2,
2,
2,
3,
2,
4,
3,
3,
3,
4,
2,
4,
3,
3,
2,
2,
3,
5,
2,
2,
2,
5,
5,
7,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
2,
3,
3,
4,
2,
2,
4,
4,
4,
7,
5,
4,
4,
2,
4,
5,
5,
4,
4,
6,
3,
3,
2,
5,
6,
2,
3,
4,
4,
5,
4,
3,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
5,
4,
2,
2,
5,
3,
2,
3,
4,
3,
2,
3,
4,
3,
4,
3,
3,
4,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
4,
3,
4,
5,
3,
2,
3,
3,
4,
5,
6,
5,
3,
3,
4,
2,
4,
3,
1,
2,
3,
3,
3,
2,
2,
2,
3,
3,
3,
4,
2,
4,
4,
2,
4,
4,
1,
3,
4,
2,
3,
1,
3,
2,
3,
4,
5,
2,
2,
3,
5,
3,
4,
2,
4,
5,
5,
5,
5,
5,
5,
2,
3,
2,
4,
4,
2,
4,
3,
2,
3,
3,
2,
6,
3,
3,
3,
3,
2,
2,
4,
2,
3,
6,
4,
6,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
5,
2,
1,
2,
2,
2,
2,
3,
4,
3,
3,
3,
3,
3,
6,
4,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
2,
3,
5,
3,
2,
2,
2,
3,
3,
2,
2,
2,
3,
4,
6,
4,
3,
4,
3,
5,
3,
3,
2,
3,
5,
4,
3,
2,
2,
3,
4,
2,
3,
2,
2,
2,
1,
3,
4,
3,
4,
3,
3,
2,
3,
3,
4,
2,
3,
3,
3,
5,
3,
2,
2,
3,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
2,
3,
6,
7,
2,
2,
2,
4,
4,
2,
2,
3,
4,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
4,
3,
2,
2,
2,
4,
3,
4,
4,
2,
6,
3,
5,
4,
4,
4,
3,
5,
4,
4,
3,
2,
6,
3,
3,
2,
3,
2,
3,
5,
4,
2,
5,
5,
5,
3,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
4,
4,
4,
3,
4,
4,
2,
4,
4,
3,
4,
4,
2,
2,
2,
2,
3,
5,
2,
2,
2,
2,
4,
4,
5,
3,
3,
3,
3,
2,
3,
4,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
4,
4,
5,
5,
4,
3,
3,
3,
5,
5,
3,
3,
3,
3,
5,
3,
2,
3,
3,
3,
4,
2,
2,
6,
4,
4,
2,
2,
3,
3,
3,
2,
2,
4,
2,
4,
4,
4,
4,
4,
3,
1,
4,
5,
6,
4,
2,
5,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
4,
2,
3,
2,
4,
5,
3,
4,
5,
1,
4,
2,
2,
3,
3,
2,
2,
6,
3,
5,
3,
3,
3,
4,
4,
2,
2,
2,
3,
4,
3,
2,
1,
4,
2,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
4,
2,
4,
3,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
2,
7,
3,
3,
3,
2,
4,
4,
4,
3,
0,
2,
2,
4,
3,
4,
2,
5,
5,
3,
4,
3,
2,
5,
2,
4,
4,
3,
2,
3,
3,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
2,
4,
4,
4,
2,
2,
4,
4,
3,
3,
3,
3,
2,
6,
4,
3,
4,
2,
2,
5,
4,
7,
5,
2,
3,
4,
4,
4,
4,
2,
2,
4,
2,
4,
2,
3,
4,
3,
6,
5,
5,
3,
2,
6,
6,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
2,
3,
3,
4,
3,
2,
2,
4,
2,
2,
2,
5,
2,
3,
8,
4,
2,
2,
3,
4,
4,
7,
4,
5,
3,
3,
3,
4,
2,
3,
2,
4,
2,
3,
2,
4,
4,
4,
2,
4,
3,
2,
4,
4,
4,
6,
2,
4,
2,
2,
3,
5,
3,
2,
3,
2,
3,
2,
3,
4,
2,
1,
1,
4,
4,
3,
3,
3,
3,
4,
3,
3,
4,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
3,
3,
2,
2,
3,
4,
5,
3,
2,
3,
4,
4,
3,
2,
2,
2,
3,
2,
4,
2,
5,
2,
2,
4,
4,
2,
4,
4,
4,
2,
5,
2,
3,
4,
2,
6,
4,
2,
3,
5,
2,
3,
4,
4,
3,
4,
3,
4,
2,
4,
4,
6,
2,
4,
4,
4,
4,
4,
2,
6,
1,
4,
6,
4,
6,
6,
4,
6,
5,
5,
5,
3,
3,
3,
3,
2,
3,
3,
2,
3,
2,
2,
2,
2,
2,
4,
5,
4,
2,
3,
5,
4,
3,
4,
2,
2,
3,
4,
3,
4,
2,
2,
3,
2,
4,
3,
4,
3,
5,
3,
2,
2,
3,
4,
4,
4,
4,
8,
2,
2,
2,
2,
4,
5,
2,
2,
5,
2,
2,
5,
3,
4,
3,
3,
4,
2,
4,
5,
5,
2,
4,
5,
3,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
6,
2,
4,
3,
2,
2,
3,
3,
3,
2,
3,
2,
3,
3,
2,
3,
3,
2,
3,
3,
1,
4,
2,
4,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
1,
5,
3,
3,
3,
4,
4,
3,
3,
4,
4,
4,
2,
2,
2,
2,
4,
2,
4,
3,
4,
3,
2,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
5,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
5,
2,
3,
2,
3,
3,
4,
2,
4,
4,
4,
4,
2,
5,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
7,
4,
2,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
3,
4,
4,
2,
3,
3,
6,
2,
2,
4,
2,
3,
2,
4,
2,
3,
3,
3,
2,
2,
3,
3,
2,
2,
4,
3,
4,
2,
3,
3,
4,
2,
4,
3,
3,
4,
2,
3,
3,
3,
3,
3,
2,
3,
2,
7,
3,
6,
4,
2,
5,
5,
2,
3,
4,
3,
5,
6,
7,
2,
4,
4,
2,
3,
3,
4,
4,
2,
4,
4,
3,
3,
4,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
1,
2,
4,
2,
2,
4,
3,
3,
2,
2,
3,
5,
5,
2,
3,
3,
2,
2,
2,
2,
2,
3,
6,
3,
2,
2,
3,
3,
3,
2,
5,
2,
2,
6,
5,
3,
2,
3,
4,
4,
3,
3,
4,
7,
1,
3,
2,
5,
3,
4,
2,
4,
2,
4,
2,
2,
2,
6,
4,
4,
4,
2,
2,
2,
3,
4,
4,
4,
6,
4,
4,
4,
2,
5,
3,
2,
3,
3,
2,
3,
2,
2,
1,
3,
3,
5,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
7,
3,
3,
2,
3,
5,
4,
3,
4,
3,
3,
5,
2,
3,
4,
2,
4,
4,
2,
4,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
6,
2,
4,
4,
5,
4,
3,
4,
7,
2,
3,
3,
4,
3,
3,
4,
2,
4,
1,
3,
2,
2,
2,
3,
3,
1,
2,
2,
4,
4,
4,
3,
3,
2,
3,
3,
3,
2,
3,
4,
3,
4,
4,
4,
2,
2,
2,
3,
2,
4,
3,
4,
4,
2,
2,
3,
4,
3,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
4,
3,
2,
4,
3,
2,
2,
4,
3,
3,
2,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
3,
2,
6,
3,
3,
2,
2,
2,
4,
2,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
2,
4,
4,
2,
2,
4,
4,
3,
4,
3,
1,
2,
2,
3,
4,
4,
2,
3,
2,
3,
2,
2,
3,
2,
3,
3,
2,
2,
2,
4,
2,
3,
2,
2,
5,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
4,
4,
5,
2,
2,
2,
2,
2,
2,
3,
2,
2,
5,
2,
4,
2,
2,
4,
3,
3,
2,
5,
5,
4,
4,
5,
5,
4,
3,
2,
2,
2,
1,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
4,
3,
4,
5,
4,
4,
4,
4,
2,
2,
7,
3,
3,
2,
4,
4,
2,
2,
2,
2,
3,
4,
4,
2,
2,
4,
3,
3,
3,
2,
3,
2,
4,
3,
4,
3,
2,
3,
3,
2,
3,
2,
2,
2,
2,
2,
4,
2,
4,
5,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
3,
4,
3,
2,
4,
3,
2,
6,
6,
4,
4,
4,
3,
2,
4,
4,
4,
3,
3,
3,
2,
3,
2,
4,
2,
2,
3,
1,
3,
2,
3,
2,
3,
2,
1,
3,
4,
2,
4,
2,
3,
2,
3,
4,
3,
4,
4,
3,
3,
3,
7,
2,
4,
4,
2,
4,
4,
4,
4,
4,
5,
3,
4,
3,
3,
3,
4,
3,
3,
2,
2,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
4,
3,
3,
2,
2,
4,
2,
4,
3,
2,
4,
3,
3,
4,
4,
2,
1,
2,
5,
6,
4,
4,
4,
3,
3,
3,
5,
2,
2,
2,
5,
3,
4,
2,
4,
2,
2,
3,
2,
2,
2,
2,
4,
3,
4,
3,
6,
4,
5,
3,
3,
2,
2,
2,
3,
2,
4,
6,
2,
5,
5,
4,
2,
2,
2,
2,
2,
3,
2,
2,
4,
4,
3,
2,
4,
4,
5,
6,
6,
2,
4,
2,
3,
2,
3,
4,
2,
2,
2,
2,
4,
2,
4,
7,
4,
3,
2,
3,
4,
3,
4,
3,
2,
5,
4,
3,
2,
2,
2,
3,
3,
3,
3,
4,
2,
3,
3,
4,
3,
4,
4,
6,
4,
3,
4,
4,
3,
3,
4,
3,
5,
2,
2,
2,
0,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
3,
3,
5,
4,
4,
3,
2,
4,
4,
3,
4,
3,
3,
5,
4,
4,
4,
4,
3,
2,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
2,
4,
2,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
3,
2,
1,
3,
3,
1,
3,
2,
5,
4,
4,
5,
5,
3,
3,
3,
2,
2,
4,
4,
4,
4,
3,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
4,
5,
6,
5,
3,
5,
8,
4,
2,
3,
3,
4,
4,
5,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
3,
1,
4,
4,
3,
1,
1,
2,
4,
3,
2,
3,
2,
2,
3,
2,
2,
4,
2,
2,
3,
4,
4,
4,
4,
6,
3,
4,
4,
2,
1,
2,
2,
5,
2,
2,
4,
3,
2,
3,
2,
6,
3,
6,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
9,
4,
5,
3,
5,
2,
4,
4,
4,
4,
4,
4,
2,
5,
2,
2,
3,
3,
3,
2,
3,
2,
3,
4,
3,
3,
2,
2,
4,
3,
5,
3,
4,
4,
4,
4,
1,
2,
2,
2,
2,
2,
3,
5,
3,
6,
3,
8,
7,
4,
4,
2,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
4,
4,
3,
5,
4,
5,
2,
2,
4,
5,
5,
5,
2,
2,
2,
3,
4,
2,
2,
5,
4,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
4,
3,
2,
3,
2,
4,
4,
2,
2,
4,
2,
2,
2,
5,
4,
4,
4,
4,
4,
3,
4,
3,
3,
2,
3,
2,
4,
3,
3,
1,
4,
3,
3,
3,
4,
2,
2,
2,
4,
2,
3,
3,
2,
3,
5,
5,
3,
2,
3,
3,
2,
3,
2,
3,
6,
7,
4,
3,
4,
1,
2,
4,
2,
3,
3,
3,
3,
3,
2,
3,
6,
3,
4,
4,
6,
3,
2,
2,
2,
2,
3,
2,
3,
4,
5,
4,
4,
6,
4,
6,
2,
3,
2,
2,
5,
4,
4,
3,
4,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
7,
2,
3,
5,
3,
2,
3,
3,
3,
3,
4,
4,
4,
2,
2,
3,
3,
3,
6,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
2,
2,
2,
1,
2,
4,
5,
3,
4,
3,
5,
3,
3,
4,
4,
4,
4,
3,
2,
2,
1,
4,
4,
4,
4,
3,
4,
2,
2,
3,
4,
4,
2,
2,
3,
4,
4,
3,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
3,
2,
4,
4,
4,
3,
3,
1,
3,
2,
2,
1,
1,
3,
2,
2,
4,
2,
4,
4,
3,
3,
3,
3,
2,
2,
4,
4,
5,
2,
4,
4,
6,
3,
4,
2,
4,
4,
2,
3,
3,
3,
2,
3,
3,
3,
2,
3,
5,
6,
4,
2,
2,
2,
2,
4,
1,
1,
1,
4,
4,
2,
3,
3,
2,
5,
2,
3,
3,
2,
3,
2,
2,
4,
4,
5,
5,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
3,
4,
4,
3,
2,
4,
4,
2,
4,
3,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
2,
2,
2,
4,
2,
3,
3,
4,
4,
4,
3,
2,
2,
2,
4,
2,
3,
3,
6,
2,
2,
2,
2,
4,
4,
4,
8,
4,
4,
3,
2,
3,
3,
3,
4,
2,
2,
2,
2,
3,
4,
3,
4,
2,
2,
3,
3,
3,
3,
6,
4,
1,
2,
4,
3,
3,
2,
3,
3,
3,
3,
3,
4,
4,
2,
6,
3,
5,
4,
2,
2,
4,
2,
4,
2,
3,
2,
2,
5,
2,
2,
5,
4,
3,
2,
2,
3,
4,
2,
4,
10,
3,
3,
3,
3,
5,
3,
3,
3,
3,
2,
4,
4,
2,
3,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
3,
4,
4,
4,
2,
4,
2,
4,
4,
3,
3,
3,
3,
3,
2,
2,
6,
2,
2,
2,
2,
3,
3,
4,
2,
4,
3,
3,
3,
3,
4,
4,
4,
3,
4,
3,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
6,
4,
2,
2,
1,
3,
2,
2,
2,
4,
4,
2,
2,
2,
3,
3,
4,
3,
5,
4,
4,
4,
5,
4,
4,
2,
5,
6,
5,
7,
4,
4,
6,
4,
2,
2,
2,
3,
4,
5,
2,
3,
2,
3,
4,
3,
3,
4,
4,
7,
2,
3,
2,
4,
4,
3,
5,
2,
2,
3,
2,
2,
3,
3,
3,
3,
2,
2,
2,
4,
3,
2,
4,
2,
2,
1,
4,
2,
7,
2,
3,
8,
3,
2,
5,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
4,
5,
3,
4,
2,
4,
2,
2,
2,
4,
3,
2,
2,
2,
4,
4,
6,
3,
4,
5,
4,
4,
2,
3,
4,
2,
4,
2,
2,
4,
4,
2,
3,
3,
5,
2,
4,
3,
3,
4,
4,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
5,
4,
4,
5,
5,
4,
2,
3,
4,
4,
3,
2,
3,
4,
4,
3,
4,
4,
3,
4,
3,
4,
2,
2,
2,
4,
2,
3,
4,
2,
5,
4,
3,
2,
5,
3,
4,
3,
2,
3,
4,
3,
4,
2,
2,
3,
3,
3,
2,
3,
3,
6,
2,
4,
3,
1,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
3,
2,
2,
2,
3,
7,
6,
2,
3,
2,
2,
2,
4,
4,
3,
4,
2,
3,
3,
3,
4,
3,
2,
4,
3,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
5,
4,
2,
2,
3,
2,
3,
5,
2,
3,
3,
3,
4,
2,
4,
2,
2,
4,
3,
2,
2,
1,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
4,
4,
2,
8,
4,
2,
2,
3,
3,
4,
2,
2,
3,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
2,
3,
4,
2,
3,
2,
6,
4,
4,
4,
4,
2,
2,
4,
4,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
2,
3,
3,
2,
4,
4,
2,
2,
4,
4,
3,
4,
2,
3,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
3,
3,
3,
2,
1,
3,
4,
4,
4,
3,
4,
4,
4,
3,
4,
3,
3,
3,
2,
5,
5,
2,
4,
2,
2,
2,
2,
2,
3,
3,
2,
4,
3,
2,
6,
5,
2,
2,
2,
2,
2,
3,
4,
4,
2,
3,
1,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
2,
3,
3,
2,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
6,
5,
2,
5,
2,
3,
3,
4,
4,
3,
4,
3,
2,
3,
4,
4,
4,
3,
2,
2,
1,
2,
2,
4,
4,
3,
3,
4,
4,
6,
2,
3,
3,
3,
2,
1,
3,
2,
4,
3,
3,
9,
4,
3,
2,
3,
4,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
4,
2,
3,
4,
4,
2,
3,
4,
2,
3,
3,
3,
2,
3,
2,
3,
4,
4,
5,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
5,
3,
4,
2,
3,
4,
1,
4,
2,
2,
4,
4,
4,
2,
2,
2,
5,
2,
5,
4,
3,
2,
4,
3,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
2,
3,
3,
4,
2,
2,
2,
3,
3,
3,
2,
3,
2,
3,
3,
2,
3,
4,
1,
4,
4,
4,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
5,
3,
4,
4,
4,
4,
4,
2,
4,
3,
4,
2,
2,
1,
2,
2,
2,
4,
3,
5,
5,
4,
4,
4,
4,
2,
3,
2,
2,
4,
2,
2,
3,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
2,
3,
2,
3,
3,
4,
3,
3,
4,
4,
4,
2,
3,
4,
3,
2,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
4,
3,
3,
3,
3,
5,
4,
2,
4,
1,
2,
2,
4,
4,
3,
3,
3,
3,
4,
4,
2,
4,
4,
4,
3,
4,
4,
8,
3,
2,
4,
2,
7,
6,
4,
6,
3,
2,
2,
3,
3,
4,
4,
2,
2,
3,
5,
4,
5,
7,
3,
6,
6,
3,
4,
3,
4,
2,
3,
6,
3,
2,
2,
3,
5,
1,
3,
2,
2,
4,
3,
2,
3,
3,
4,
3,
4,
2,
3,
4,
5,
3,
3,
3,
2,
4,
4,
4,
2,
4,
2,
3,
2,
2,
4,
2,
2,
3,
3,
4,
4,
3,
3,
2,
2,
2,
4,
2,
4,
3,
2,
5,
5,
5,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
2,
4,
4,
6,
2,
2,
2,
3,
2,
3,
3,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
2,
6,
6,
2,
2,
4,
3,
4,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
3,
2,
1,
3,
2,
2,
3,
4,
4,
4,
4,
2,
5,
2,
4,
4,
2,
5,
2,
2,
2,
6,
5,
4,
3,
3,
5,
2,
2,
3,
5,
3,
3,
3,
4,
4,
5,
5,
5,
2,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
4,
3,
2,
4,
4,
3,
5,
4,
3,
3,
2,
2,
2,
3,
2,
6,
5,
3,
2,
2,
6,
2,
2,
3,
4,
3,
4,
4,
2,
2,
5,
3,
2,
2,
2,
3,
3,
2,
2,
4,
2,
3,
2,
4,
3,
2,
2,
4,
2,
4,
2,
2,
2,
4,
2,
2,
4,
2,
3,
3,
3,
6,
4,
2,
2,
2,
4,
2,
3,
3,
4,
3,
3,
4,
2,
2,
1,
2,
3,
4,
2,
2,
2,
2,
4,
2,
1,
4,
2,
4,
4,
3,
4,
4,
3,
3,
2,
2,
2,
5,
4,
2,
3,
2,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
4,
2,
2,
4,
2,
5,
3,
4,
2,
6,
4,
4,
3,
3,
2,
4,
4,
4,
4,
1,
2,
2,
2,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
5,
5,
4,
4,
6,
3,
4,
2,
2,
4,
2,
2,
2,
5,
3,
5,
2,
2,
2,
5,
3,
4,
3,
2,
2,
2,
5,
4,
4,
3,
3,
5,
3,
3,
3,
5,
3,
2,
5,
2,
2,
3,
4,
2,
4,
4,
5,
4,
2,
2,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
3,
3,
5,
3,
4,
4,
2,
3,
4,
3,
5,
2,
4,
4,
3,
4,
4,
4,
3,
3,
4,
4,
3,
3,
3,
1,
1,
1,
3,
3,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
5,
5,
2,
4,
4,
4,
4,
4,
3,
2,
4,
6,
2,
4,
3,
3,
2,
3,
3,
4,
2,
4,
3,
2,
2,
2,
2,
2,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
2,
4,
3,
3,
6,
6,
3,
2,
2,
2,
1,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
5,
4,
3,
2,
3,
3,
4,
3,
2,
3,
2,
2,
4,
5,
5,
5,
5,
4,
4,
3,
5,
2,
2,
2,
2,
4,
2,
2,
5,
3,
3,
3,
2,
5,
5,
2,
4,
5,
5,
3,
2,
3,
3,
3,
2,
1,
3,
3,
3,
5,
2,
2,
2,
2,
2,
7,
4,
2,
1,
3,
2,
3,
2,
2,
3,
2,
2,
2,
3,
5,
3,
3,
2,
3,
2,
2,
4,
6,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
6,
2,
4,
2,
2,
4,
2,
2,
2,
4,
2,
3,
2,
4,
2,
3,
2,
4,
3,
4,
4,
8,
4,
5,
2,
4,
2,
8,
4,
2,
4,
2,
2,
3,
4,
3,
2,
4,
2,
3,
2,
2,
2,
9,
4,
2,
3,
3,
3,
3,
6,
2,
5,
4,
2,
4,
2,
5,
3,
4,
1,
2,
1,
4,
4,
4,
4,
3,
3,
2,
4,
4,
4,
3,
4,
3,
2,
3,
3,
5,
3,
4,
3,
5,
6,
5,
6,
5,
4,
4,
2,
2,
2,
2,
2,
4,
4,
2,
2,
5,
5,
4,
4,
2,
4,
4,
4,
2,
2,
4,
4,
3,
2,
3,
2,
4,
6,
2,
2,
3,
3,
4,
3,
2,
2,
2,
2,
2,
4,
4,
2,
3,
3,
3,
2,
2,
3,
2,
3,
4,
2,
2,
4,
4,
2,
4,
2,
6,
3,
3,
4,
4,
3,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
1,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
8,
2,
4,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
4,
2,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
2,
3,
3,
4,
3,
3,
3,
3,
2,
2,
4,
3,
6,
7,
6,
2,
3,
3,
3,
2,
4,
4,
4,
4,
2,
3,
4,
4,
4,
3,
3,
3,
3,
3,
4,
2,
5,
6,
4,
6,
3,
3,
8,
3,
3,
3,
3,
7,
2,
4,
4,
4,
3,
4,
4,
3,
5,
3,
2,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
4,
4,
6,
3,
3,
3,
6,
3,
3,
3,
3,
3,
1,
2,
5,
5,
4,
2,
3,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
6,
1,
4,
3,
3,
5,
5,
5,
6,
3,
3,
4,
5,
3,
4,
3,
4,
3,
4,
3,
4,
3,
1,
2,
2,
2,
5,
2,
7,
4,
2,
3,
2,
3,
6,
2,
3,
3,
2,
2,
4,
4,
3,
4,
3,
3,
5,
5,
3,
3,
3,
4,
2,
2,
4,
2,
2,
2,
2,
4,
2,
2,
3,
4,
4,
2,
4,
4,
4,
2,
3,
3,
4,
7,
2,
3,
2,
4,
3,
2,
3,
4,
3,
4,
4,
4,
4,
5,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
3,
3,
3,
5,
2,
3,
4,
5,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
3,
4,
4,
4,
4,
4,
5,
3,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
7,
2,
2,
2,
2,
7,
7,
4,
3,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
4,
5,
3,
2,
4,
4,
4,
2,
3,
2,
2,
3,
4,
4,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
5,
3,
4,
4,
4,
2,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
4,
4,
4,
2,
4,
4,
3,
2,
6,
2,
3,
2,
2,
2,
1,
2,
3,
4,
2,
3,
2,
3,
4,
4,
4,
3,
2,
4,
2,
3,
6,
4,
3,
3,
2,
2,
4,
4,
5,
4,
6,
4,
3,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
5,
2,
5,
5,
5,
2,
4,
3,
3,
3,
2,
3,
4,
4,
4,
4,
2,
2,
4,
2,
5,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
5,
3,
4,
3,
4,
2,
1,
1,
1,
2,
1,
4,
2,
4,
2,
4,
4,
4,
3,
3,
2,
2,
7,
2,
4,
7,
4,
4,
5,
2,
8,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
1,
2,
4,
3,
4,
3,
4,
3,
3,
4,
3,
2,
3,
2,
3,
3,
4,
4,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
2,
3,
4,
2,
5,
4,
3,
4,
3,
2,
3,
3,
4,
4,
2,
4,
5,
2,
4,
3,
2,
2,
2,
3,
4,
3,
2,
2,
4,
3,
3,
2,
3,
5,
5,
4,
3,
3,
4,
4,
3,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
2,
3,
3,
4,
3,
5,
3,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
5,
2,
4,
2,
2,
4,
3,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
5,
2,
3,
2,
4,
4,
2,
3,
3,
4,
3,
3,
5,
4,
3,
3,
2,
3,
3,
3,
3,
2,
3,
3,
1,
5,
2,
4,
4,
2,
2,
4,
3,
4,
3,
2,
2,
2,
5,
5,
3,
4,
2,
2,
4,
2,
3,
7,
6,
8,
3,
4,
2,
3,
3,
4,
3,
4,
2,
1,
4,
6,
2,
4,
2,
2,
2,
4,
3,
4,
2,
2,
2,
4,
3,
2,
2,
4,
4,
4,
4,
3,
3,
4,
2,
4,
6,
6,
4,
2,
4,
3,
3,
3,
2,
3,
3,
3,
2,
4,
4,
2,
3,
2,
2,
2,
5,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
3,
4,
3,
3,
2,
4,
7,
4,
2,
4,
3,
2,
2,
3,
3,
3,
2,
3,
3,
3,
2,
3,
2,
3,
2,
3,
2,
2,
2,
6,
3,
2,
2,
3,
2,
4,
1,
2,
2,
2,
3,
4,
5,
5,
5,
3,
2,
4,
3,
3,
3,
4,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
5,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
5,
6,
5,
4,
2,
2,
2,
3,
5,
4,
4,
2,
2,
6,
4,
4,
4,
4,
4,
5,
2,
1,
2,
3,
3,
2,
3,
6,
4,
5,
6,
6,
4,
4,
5,
3,
3,
1,
2,
1,
1,
2,
3,
3,
4,
5,
2,
4,
4,
4,
5,
2,
4,
3,
3,
3,
2,
3,
3,
1,
3,
4,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
3,
3,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
3,
4,
2,
3,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
7,
4,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
1,
2,
2,
1,
3,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
3,
3,
5,
5,
4,
3,
2,
3,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
5,
4,
4,
4,
3,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
4,
3,
2,
3,
2,
3,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
5,
4,
3,
2,
2,
2,
5,
3,
2,
5,
4,
3,
3,
3,
3,
4,
3,
4,
4,
4,
3,
2,
2,
2,
2,
2,
5,
2,
5,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
6,
4,
5,
4,
4,
2,
2,
2,
5,
2,
2,
2,
2,
4,
4,
1,
3,
4,
3,
4,
4,
4,
4,
4,
3,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
4,
5,
3,
2,
3,
3,
4,
2,
2,
2,
2,
3,
1,
4,
4,
3,
3,
6,
3,
2,
2,
4,
4,
1,
4,
2,
2,
3,
3,
4,
3,
4,
4,
4,
4,
5,
4,
2,
2,
4,
6,
3,
2,
1,
2,
2,
3,
4,
4,
4,
4,
4,
2,
3,
3,
4,
5,
3,
3,
3,
5,
2,
4,
2,
2,
4,
4,
2,
2,
4,
2,
4,
4,
2,
4,
3,
2,
5,
3,
3,
4,
2,
1,
3,
3,
4,
4,
4,
4,
3,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
7,
5,
7,
5,
5,
4,
2,
3,
6,
3,
3,
3,
3,
3,
1,
3,
3,
4,
4,
5,
3,
3,
4,
4,
3,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
2,
3,
3,
2,
8,
6,
2,
2,
2,
5,
1,
4,
3,
2,
3,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
4,
4,
3,
5,
2,
2,
2,
2,
2,
4,
4,
4,
1,
3,
7,
3,
3,
2,
3,
2,
2,
3,
2,
2,
1,
2,
5,
4,
4,
4,
5,
4,
2,
4,
4,
4,
4,
4,
3,
5,
2,
4,
2,
3,
2,
2,
2,
4,
4,
3,
4,
5,
4,
2,
2,
2,
2,
2,
3,
2,
4,
3,
4,
5,
3,
3,
4,
3,
2,
2,
4,
4,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
2,
3,
5,
3,
5,
3,
2,
2,
2,
3,
3,
3,
3,
2,
6,
2,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
5,
2,
2,
2,
2,
4,
2,
2,
5,
4,
4,
4,
2,
2,
3,
2,
2,
3,
4,
5,
4,
5,
3,
3,
3,
4,
3,
4,
4,
2,
4,
2,
3,
2,
2,
3,
3,
5,
3,
3,
2,
3,
2,
3,
3,
4,
3,
2,
4,
7,
4,
6,
3,
4,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
5,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
5,
4,
2,
4,
4,
4,
2,
2,
2,
4,
4,
5,
4,
3,
2,
2,
4,
5,
2,
4,
2,
3,
3,
2,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
4,
3,
2,
4,
2,
3,
5,
4,
2,
2,
2,
3,
1,
6,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
5,
2,
3,
3,
4,
3,
3,
2,
3,
2,
3,
3,
2,
3,
1,
3,
2,
3,
3,
2,
2,
7,
2,
2,
3,
4,
3,
3,
2,
4,
1,
1,
2,
3,
4,
3,
2,
2,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
2,
3,
4,
2,
3,
2,
3,
2,
3,
4,
4,
5,
4,
3,
4,
2,
3,
5,
2,
3,
2,
2,
2,
4,
4,
2,
2,
7,
5,
3,
3,
2,
4,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
3,
4,
3,
4,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
5,
4,
4,
5,
3,
4,
5,
4,
4,
2,
4,
4,
2,
1,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
7,
3,
4,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
4,
3,
3,
3,
3,
4,
4,
3,
4,
2,
2,
2,
2,
5,
2,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
2,
3,
4,
5,
4,
4,
4,
6,
6,
4,
5,
5,
4,
2,
3,
3,
2,
3,
2,
4,
3,
3,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
4,
4,
6,
3,
3,
4,
4,
4,
5,
5,
2,
1,
1,
3,
3,
3,
3,
3,
2,
2,
5,
3,
4,
3,
4,
5,
5,
2,
4,
6,
6,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
2,
5,
3,
2,
4,
2,
2,
3,
2,
4,
1,
1,
1,
1,
3,
4,
3,
2,
2,
3,
3,
5,
1,
2,
2,
2,
3,
4,
4,
2,
4,
6,
4,
2,
3,
4,
3,
3,
3,
2,
7,
3,
4,
2,
4,
3,
2,
3,
2,
4,
2,
3,
3,
4,
2,
4,
4,
4,
2,
5,
4,
4,
3,
3,
4,
6,
3,
5,
5,
4,
2,
2,
5,
2,
3,
2,
3,
4,
4,
4,
3,
3,
6,
6,
3,
3,
4,
4,
2,
2,
4,
2,
4,
2,
2,
3,
5,
2,
4,
4,
2,
4,
2,
3,
5,
1,
4,
3,
2,
2,
3,
2,
5,
2,
2,
2,
4,
3,
2,
2,
2,
4,
4,
2,
2,
3,
2,
4,
4,
4,
4,
3,
3,
4,
4,
4,
2,
4,
4,
0,
4,
4,
2,
4,
5,
4,
2,
2,
4,
4,
3,
4,
3,
3,
3,
2,
5,
2,
4,
4,
2,
2,
4,
6,
2,
4,
6,
2,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
3,
2,
2,
2,
3,
4,
4,
2,
4,
4,
5,
5,
5,
2,
2,
4,
4,
2,
2,
4,
2,
4,
3,
4,
4,
4,
2,
3,
4,
3,
4,
3,
3,
2,
2,
4,
4,
4,
4,
2,
4,
1,
2,
3,
7,
4,
4,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
3,
3,
3,
6,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
4,
3,
4,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
5,
2,
2,
3,
6,
5,
2,
8,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
1,
4,
7,
4,
4,
3,
3,
5,
4,
3,
6,
2,
4,
4,
2,
2,
3,
3,
5,
4,
4,
3,
4,
3,
4,
3,
3,
3,
4,
3,
4,
3,
4,
2,
2,
3,
4,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
2,
3,
2,
4,
5,
4,
4,
2,
3,
4,
2,
2,
2,
3,
4,
2,
4,
3,
2,
2,
2,
2,
4,
4,
2,
3,
3,
7,
4,
1,
3,
2,
2,
2,
5,
4,
4,
4,
3,
4,
3,
4,
4,
2,
3,
2,
2,
5,
4,
4,
2,
3,
3,
3,
4,
3,
2,
3,
3,
3,
3,
4,
5,
4,
3,
3,
3,
4,
1,
2,
3,
3,
2,
2,
2,
2,
2,
4,
5,
6,
4,
3,
3,
4,
3,
3,
4,
2,
4,
4,
2,
4,
2,
4,
4,
4,
2,
2,
2,
5,
4,
3,
2,
4,
2,
2,
2,
2,
4,
4,
3,
3,
2,
4,
3,
8,
3,
2,
5,
4,
3,
3,
3,
4,
2,
4,
2,
4,
3,
2,
2,
3,
2,
3,
2,
4,
5,
3,
5,
4,
4,
4,
4,
4,
2,
5,
3,
4,
6,
6,
2,
2,
2,
4,
4,
4,
3,
3,
5,
3,
1,
2,
2,
2,
3,
3,
4,
3,
4,
2,
3,
1,
2,
3,
5,
2,
2,
4,
4,
2,
4,
4,
2,
2,
2,
4,
5,
2,
2,
4,
2,
2,
2,
6,
4,
4,
4,
2,
5,
4,
4,
5,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
8,
3,
3,
3,
5,
3,
5,
2,
3,
4,
4,
3,
3,
4,
4,
4,
2,
2,
5,
2,
2,
2,
5,
4,
4,
4,
4,
4,
4,
5,
5,
6,
6,
5,
5,
6,
3,
2,
2,
2,
4,
2,
2,
4,
3,
3,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
5,
3,
4,
3,
2,
3,
2,
2,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
2,
3,
5,
3,
3,
3,
3,
4,
2,
5,
2,
3,
4,
3,
4,
4,
4,
2,
2,
1,
2,
6,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
6,
1,
2,
3,
3,
4,
4,
5,
5,
4,
2,
2,
2,
2,
7,
2,
5,
3,
3,
4,
2,
2,
3,
2,
2,
2,
1,
3,
3,
2,
4,
3,
4,
3,
4,
2,
5,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
4,
2,
2,
2,
3,
4,
2,
2,
3,
2,
2,
4,
2,
3,
2,
2,
4,
2,
3,
2,
4,
1,
2,
4,
3,
3,
3,
5,
3,
1,
3,
8,
4,
4,
4,
2,
3,
4,
6,
5,
4,
3,
3,
3,
2,
3,
4,
3,
2,
3,
4,
6,
3,
3,
5,
2,
3,
4,
3,
2,
2,
3,
3,
5,
6,
6,
4,
4,
3,
4,
4,
4,
4,
4,
3,
2,
3,
4,
3,
3,
3,
4,
3,
2,
5,
2,
4,
5,
3,
4,
2,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
5,
4,
4,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
6,
3,
3,
3,
2,
2,
2,
2,
2,
4,
3,
2,
2,
5,
5,
5,
2,
3,
2,
2,
2,
6,
2,
2,
5,
2,
5,
6,
4,
6,
7,
4,
5,
2,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
3,
2,
3,
5,
4,
4,
3,
4,
3,
2,
4,
4,
4,
4,
2,
2,
2,
4,
5,
2,
2,
2,
5,
3,
2,
2,
2,
3,
3,
3,
2,
3,
6,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
3,
4,
5,
2,
2,
2,
2,
4,
2,
4,
6,
2,
7,
4,
3,
3,
5,
3,
2,
2,
5,
5,
4,
2,
4,
4,
4,
3,
3,
4,
4,
5,
4,
5,
3,
3,
2,
3,
2,
3,
4,
3,
4,
4,
2,
3,
2,
2,
2,
3,
6,
2,
4,
2,
3,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
3,
4,
4,
3,
4,
4,
3,
3,
2,
3,
2,
3,
2,
3,
3,
3,
4,
4,
2,
3,
3,
3,
2,
2,
2,
3,
3,
3,
4,
2,
2,
3,
2,
4,
3,
2,
3,
3,
2,
4,
4,
4,
3,
3,
2,
2,
4,
4,
4,
3,
2,
2,
2,
4,
7,
2,
2,
3,
3,
3,
3,
4,
5,
4,
5,
3,
3,
3,
3,
4,
2,
3,
2,
2,
2,
1,
2,
2,
4,
2,
2,
2,
8,
8,
3,
1,
5,
5,
4,
3,
3,
2,
4,
4,
3,
3,
4,
3,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
7,
2,
2,
3,
2,
4,
2,
1,
3,
2,
3,
2,
4,
4,
3,
2,
4,
3,
3,
4,
6,
3,
2,
4,
6,
4,
2,
4,
4,
6,
2,
4,
4,
4,
6,
5,
2,
2,
5,
4,
2,
2,
2,
2,
4,
4,
2,
3,
3,
2,
4,
4,
4,
2,
4,
4,
2,
3,
3,
2,
3,
2,
4,
3,
4,
4,
4,
3,
3,
3,
4,
3,
2,
3,
2,
2,
2,
2,
3,
2,
4,
2,
3,
4,
3,
2,
3,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
8,
2,
2,
4,
2,
2,
4,
2,
3,
2,
3,
2,
5,
4,
4,
4,
4,
2,
3,
3,
3,
4,
2,
3,
2,
2,
2,
2,
2,
6,
7,
4,
4,
3,
3,
2,
2,
1,
3,
2,
2,
4,
4,
4,
2,
5,
4,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
4,
4,
3,
2,
1,
4,
3,
4,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
6,
3,
2,
4,
2,
2,
2,
3,
3,
3,
3,
4,
3,
2,
5,
5,
2,
2,
2,
3,
2,
3,
4,
4,
2,
3,
2,
2,
4,
2,
3,
2,
2,
2,
5,
5,
2,
4,
4,
4,
4,
3,
4,
4,
3,
3,
2,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
5,
5,
3,
3,
3,
3,
4,
3,
4,
3,
4,
4,
4,
2,
2,
2,
3,
3,
3,
2,
5,
4,
3,
1,
2,
2,
2,
4,
1,
3,
3,
4,
3,
5,
5,
3,
5,
4,
4,
4,
4,
3,
6,
4,
3,
3,
5,
4,
2,
2,
5,
2,
2,
3,
3,
4,
3,
2,
4,
4,
4,
4,
2,
2,
3,
4,
2,
3,
3,
2,
7,
4,
6,
4,
3,
3,
2,
5,
5,
3,
3,
5,
4,
6,
6,
4,
3,
4,
4,
2,
4,
4,
3,
4,
2,
3,
3,
3,
4,
3,
3,
3,
3,
2,
6,
5,
5,
2,
2,
5,
3,
4,
4,
3,
5,
4,
3,
2,
4,
4,
2,
2,
4,
4,
4,
5,
5,
4,
4,
5,
2,
4,
2,
3,
4,
4,
4,
4,
2,
4,
2,
2,
2,
1,
2,
3,
4,
4,
3,
2,
4,
2,
3,
4,
3,
2,
2,
4,
4,
2,
2,
2,
4,
4,
2,
4,
2,
2,
6,
3,
8,
2,
3,
3,
3,
5,
2,
2,
8,
4,
7,
4,
4,
3,
5,
5,
4,
2,
3,
3,
3,
4,
2,
3,
4,
4,
2,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
4,
3,
3,
2,
4,
4,
2,
3,
3,
4,
4,
7,
2,
3,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
2,
4,
5,
4,
4,
3,
3,
2,
2,
3,
2,
4,
3,
2,
2,
2,
2,
2,
5,
2,
6,
4,
4,
4,
2,
4,
6,
4,
3,
5,
4,
4,
3,
3,
2,
5,
4,
3,
3,
2,
2,
2,
4,
2,
2,
5,
3,
4,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
2,
2,
2,
2,
3,
2,
6,
3,
6,
4,
4,
2,
7,
2,
5,
2,
4,
2,
3,
4,
4,
2,
2,
2,
4,
5,
4,
2,
2,
3,
5,
4,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
3,
5,
2,
2,
5,
2,
4,
3,
3,
2,
3,
4,
1,
4,
4,
2,
2,
4,
2,
2,
2,
4,
2,
4,
4,
2,
2,
6,
3,
4,
3,
4,
4,
3,
3,
2,
5,
5,
6,
3,
3,
4,
4,
4,
6,
4,
4,
4,
5,
2,
4,
2,
2,
2,
3,
2,
1,
3,
4,
4,
2,
2,
2,
3,
6,
3,
4,
4,
2,
2,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
6,
4,
3,
3,
2,
3,
4,
4,
2,
4,
2,
2,
1,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
3,
5,
3,
6,
2,
4,
5,
2,
2,
2,
3,
3,
2,
3,
2,
3,
3,
2,
4,
2,
4,
1,
7,
2,
3,
3,
2,
2,
2,
4,
2,
2,
4,
2,
3,
5,
2,
4,
4,
4,
6,
4,
3,
3,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
2,
2,
6,
4,
4,
4,
4,
3,
5,
5,
3,
3,
3,
2,
2,
3,
6,
3,
3,
3,
2,
4,
2,
3,
2,
4,
2,
4,
4,
4,
3,
3,
3,
4,
3,
3,
4,
6,
2,
4,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
5,
2,
2,
2,
6,
6,
4,
4,
2,
2,
2,
5,
3,
2,
4,
4,
2,
4,
4,
4,
5,
4,
3,
5,
2,
4,
4,
2,
4,
2,
3,
2,
2,
3,
4,
2,
3,
2,
4,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
5,
5,
4,
9,
3,
7,
4,
4,
4,
4,
3,
4,
4,
4,
3,
6,
2,
4,
1,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
5,
2,
2,
2,
2,
5,
5,
2,
2,
6,
3,
2,
3,
8,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
2,
2,
1,
1,
2,
2,
2,
4,
3,
4,
2,
3,
2,
2,
5,
5,
4,
6,
6,
2,
3,
4,
4,
4,
4,
4,
3,
3,
5,
5,
5,
5,
5,
4,
4,
2,
3,
3,
3,
2,
3,
2,
4,
3,
4,
4,
4,
5,
2,
5,
4,
4,
5,
5,
4,
5,
3,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
5,
5,
3,
3,
4,
3,
2,
4,
4,
4,
3,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
2,
4,
2,
4,
4,
5,
5,
1,
3,
2,
4,
4,
2,
4,
7,
4,
3,
4,
2,
5,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
3,
5,
5,
2,
5,
4,
3,
5,
5,
1,
5,
3,
4,
3,
2,
2,
3,
3,
3,
4,
2,
2,
2,
2,
4,
2,
4,
2,
2,
3,
3,
2,
2,
2,
2,
3,
4,
3,
2,
2,
2,
2,
6,
4,
6,
5,
5,
4,
2,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
1,
2,
2,
2,
3,
2,
3,
4,
3,
3,
2,
2,
2,
3,
5,
2,
2,
3,
2,
3,
2,
2,
4,
4,
2,
4,
2,
2,
1,
4,
4,
2,
5,
3,
3,
3,
4,
3,
5,
3,
3,
3,
2,
2,
2,
4,
3,
5,
5,
3,
4,
3,
5,
4,
2,
4,
3,
3,
3,
4,
2,
5,
5,
4,
4,
6,
3,
3,
3,
2,
1,
1,
4,
2,
3,
4,
4,
4,
4,
8,
4,
3,
4,
2,
2,
2,
2,
3,
4,
2,
3,
2,
2,
2,
3,
4,
4,
2,
2,
3,
2,
3,
4,
3,
4,
2,
7,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
1,
2,
4,
2,
2,
2,
3,
1,
2,
4,
2,
3,
4,
3,
3,
2,
6,
2,
2,
3,
4,
4,
4,
3,
3,
2,
4,
3,
5,
4,
3,
4,
2,
1,
4,
4,
3,
4,
2,
3,
4,
3,
3,
2,
4,
4,
3,
4,
4,
4,
4,
5,
3,
2,
4,
4,
2,
2,
3,
4,
4,
3,
3,
4,
4,
2,
2,
4,
4,
3,
2,
2,
6,
4,
8,
2,
2,
2,
2,
3,
2,
3,
3,
4,
4,
4,
4,
5,
3,
4,
4,
4,
3,
6,
3,
4,
4,
2,
4,
2,
2,
2,
4,
2,
2,
1,
3,
3,
3,
3,
3,
2,
2,
3,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
6,
2,
2,
5,
4,
2,
3,
2,
2,
2,
3,
2,
3,
2,
1,
3,
2,
3,
3,
3,
3,
4,
3,
2,
4,
3,
3,
4,
2,
4,
3,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
2,
5,
4,
4,
4,
2,
3,
3,
3,
4,
4,
4,
2,
5,
3,
3,
3,
3,
1,
3,
3,
2,
4,
4,
4,
4,
3,
2,
2,
5,
5,
4,
2,
2,
4,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
3,
2,
2,
4,
4,
4,
2,
4,
5,
2,
2,
3,
2,
2,
4,
2,
2,
3,
1,
3,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
5,
4,
4,
3,
3,
5,
3,
2,
2,
3,
3,
2,
2,
2,
3,
6,
2,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
3,
4,
3,
3,
4,
1,
3,
2,
1,
2,
2,
4,
4,
3,
3,
3,
4,
2,
4,
3,
1,
3,
2,
2,
3,
7,
3,
2,
3,
3,
2,
2,
4,
3,
3,
3,
2,
4,
2,
3,
4,
4,
4,
4,
2,
3,
3,
4,
4,
4,
4,
2,
4,
2,
2,
4,
3,
4,
3,
3,
1,
2,
2,
2,
2,
4,
5,
2,
3,
2,
4,
4,
3,
2,
2,
4,
4,
4,
4,
4,
3,
2,
2,
1,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
3,
5,
1,
3,
3,
3,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
3,
3,
2,
3,
3,
2,
2,
4,
4,
3,
3,
4,
5,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
4,
5,
2,
3,
2,
2,
2,
2,
4,
3,
3,
5,
3,
2,
2,
2,
4,
3,
4,
3,
3,
2,
4,
2,
2,
3,
2,
2,
2,
4,
3,
4,
5,
3,
4,
4,
2,
5,
4,
3,
3,
5,
2,
2,
4,
2,
2,
3,
3,
2,
2,
3,
2,
6,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
2,
4,
7,
6,
6,
5,
5,
4,
4,
2,
3,
3,
3,
2,
4,
8,
4,
4,
4,
4,
4,
4,
5,
3,
2,
2,
4,
4,
3,
3,
3,
3,
2,
2,
2,
6,
3,
3,
3,
4,
3,
3,
3,
2,
3,
2,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
3,
4,
3,
4,
3,
2,
4,
4,
4,
2,
3,
5,
3,
3,
2,
4,
4,
4,
4,
3,
6,
6,
3,
3,
3,
3,
5,
3,
4,
4,
3,
4,
4,
3,
5,
3,
3,
2,
2,
4,
5,
5,
2,
2,
3,
3,
3,
4,
4,
2,
1,
3,
4,
3,
3,
5,
2,
2,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
4,
3,
4,
5,
2,
3,
4,
3,
5,
2,
5,
4,
4,
3,
4,
4,
2,
2,
3,
3,
4,
5,
4,
4,
2,
4,
3,
4,
3,
3,
2,
4,
3,
4,
2,
2,
2,
2,
3,
3,
3,
6,
2,
3,
2,
2,
2,
2,
3,
4,
4,
2,
2,
4,
2,
4,
3,
3,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
2,
2,
4,
4,
4,
2,
2,
2,
2,
5,
6,
3,
2,
2,
2,
2,
2,
3,
4,
2,
7,
4,
4,
4,
7,
4,
4,
4,
2,
4,
4,
2,
4,
7,
3,
3,
3,
3,
1,
2,
2,
2,
4,
2,
2,
2,
3,
3,
4,
3,
4,
4,
3,
3,
3,
1,
4,
2,
3,
3,
3,
4,
5,
3,
4,
5,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
5,
2,
2,
4,
4,
3,
4,
4,
4,
3,
2,
2,
2,
4,
4,
2,
2,
4,
4,
3,
2,
2,
4,
4,
4,
2,
4,
2,
2,
1,
2,
2,
3,
4,
3,
1,
2,
2,
2,
3,
4,
4,
2,
2,
2,
2,
2,
4,
3,
4,
4,
2,
2,
4,
4,
2,
4,
2,
2,
4,
2,
3,
2,
2,
2,
2,
5,
3,
2,
3,
3,
3,
2,
2,
3,
4,
5,
2,
4,
4,
2,
2,
4,
4,
4,
4,
4,
3,
2,
5,
3,
3,
3,
4,
4,
4,
4,
4,
5,
3,
4,
4,
2,
4,
6,
4,
4,
3,
3,
3,
4,
4,
4,
3,
4,
5,
4,
2,
5,
4,
4,
4,
4,
5,
3,
3,
2,
3,
3,
2,
1,
2,
3,
3,
3,
3,
6,
4,
6,
6,
2,
4,
2,
2,
2,
3,
3,
2,
3,
4,
2,
3,
2,
4,
3,
3,
4,
3,
3,
3,
3,
4,
4,
4,
5,
3,
3,
7,
3,
7,
6,
4,
3,
4,
3,
4,
3,
4,
4,
2,
5,
3,
3,
4,
5,
5,
3,
5,
3,
5,
7,
4,
4,
4,
7,
4,
5,
3,
6,
6,
4,
4,
2,
3,
3,
4,
4,
3,
2,
1,
2,
2,
4,
2,
3,
3,
2,
3,
3,
5,
2,
4,
1,
2,
4,
2,
6,
4,
5,
3,
2,
5,
3,
3,
5,
2,
3,
3,
2,
3,
4,
2,
4,
4,
4,
4,
2,
3,
2,
3,
5,
4,
3,
3,
3,
4,
5,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
1,
1,
3,
2,
2,
7,
5,
4,
5,
3,
5,
6,
2,
3,
2,
3,
4,
4,
5,
4,
3,
3,
6,
6,
2,
3,
3,
4,
4,
4,
5,
2,
1,
2,
2,
3,
4,
2,
2,
2,
7,
2,
2,
8,
6,
2,
3,
3,
4,
2,
5,
3,
4,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
1,
5,
5,
3,
3,
3,
5,
3,
3,
4,
4,
4,
4,
2,
3,
4,
3,
2,
4,
3,
2,
3,
2,
2,
3,
2,
3,
3,
2,
4,
4,
3,
3,
2,
2,
2,
3,
3,
3,
5,
7,
4,
6,
4,
4,
4,
6,
5,
4,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
6,
4,
6,
5,
5,
5,
4,
3,
3,
3,
2,
4,
2,
3,
3,
2,
4,
2,
4,
2,
4,
2,
2,
2,
2,
2,
1,
2,
2,
4,
4,
8,
4,
4,
2,
3,
6,
3,
4,
4,
3,
3,
1,
2,
4,
4,
2,
6,
3,
3,
3,
4,
4,
2,
3,
2,
1,
2,
3,
3,
1,
2,
5,
2,
5,
4,
4,
4,
3,
4,
4,
4,
2,
4,
4,
4,
2,
4,
3,
3,
2,
4,
4,
3,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
5,
3,
2,
1,
3,
4,
4,
4,
5,
3,
2,
3,
6,
2,
4,
3,
2,
4,
4,
4,
6,
2,
3,
3,
3,
2,
2,
2,
4,
5,
5,
2,
3,
2,
4,
6,
4,
2,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
4,
4,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
3,
3,
2,
2,
4,
2,
4,
6,
5,
3,
3,
3,
4,
3,
7,
2,
2,
2,
5,
2,
4,
3,
4,
5,
5,
1,
3,
3,
3,
5,
4,
2,
4,
2,
4,
3,
4,
3,
3,
3,
3,
2,
4,
3,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
3,
3,
3,
3,
3,
4,
3,
2,
4,
2,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
5,
4,
4,
5,
4,
4,
4,
2,
2,
4,
4,
4,
4,
5,
2,
2,
3,
3,
3,
5,
2,
1,
3,
2,
4,
3,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
5,
2,
3,
7,
4,
3,
3,
3,
4,
3,
3,
3,
3,
2,
2,
4,
4,
4,
3,
3,
4,
4,
4,
3,
2,
3,
2,
4,
2,
4,
4,
3,
3,
3,
3,
4,
5,
2,
2,
5,
5,
3,
6,
3,
2,
3,
4,
2,
3,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
3,
3,
2,
3,
4,
4,
3,
3,
4,
4,
4,
6,
4,
2,
4,
4,
4,
3,
3,
4,
4,
3,
4,
2,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
4,
2,
6,
7,
3,
2,
4,
4,
4,
3,
5,
4,
5,
3,
7,
4,
4,
3,
3,
2,
2,
2,
2,
5,
2,
5,
4,
2,
3,
3,
3,
3,
2,
4,
4,
2,
2,
5,
3,
3,
3,
3,
3,
5,
4,
4,
3,
4,
4,
5,
5,
5,
4,
6,
4,
4,
4,
4,
4,
4,
6,
3,
6,
3,
7,
3,
3,
3,
3,
4,
6,
3,
4,
2,
4,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
3,
4,
4,
2,
2,
4,
2,
2,
2,
3,
9,
4,
5,
5,
5,
2,
2,
6,
2,
4,
4,
4,
6,
3,
5,
1,
3,
5,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
1,
3,
3,
2,
4,
3,
4,
2,
3,
5,
5,
6,
4,
3,
5,
5,
5,
5,
5,
2,
4,
4,
4,
4,
5,
4,
4,
6,
4,
2,
4,
3,
4,
4,
4,
3,
4,
2,
5,
5,
6,
5,
3,
4,
3,
4,
3,
3,
6,
4,
2,
3,
2,
2,
5,
4,
2,
4,
4,
3,
3,
4,
2,
4,
4,
6,
4,
4,
2,
4,
4,
7,
3,
3,
3,
5,
4,
2,
4,
2,
4,
2,
2,
4,
2,
5,
2,
2,
2,
3,
3,
1,
4,
4,
3,
2,
2,
2,
4,
4,
4,
4,
3,
3,
3,
3,
0,
3,
2,
3,
3,
2,
3,
2,
5,
2,
3,
5,
3,
2,
2,
3,
2,
2,
3,
4,
2,
3,
2,
3,
4,
4,
2,
5,
4,
2,
5,
2,
6,
5,
4,
2,
3,
4,
2,
3,
2,
3,
3,
2,
5,
2,
4,
2,
4,
3,
3,
4,
4,
4,
4,
4,
3,
2,
2,
2,
4,
2,
4,
2,
3,
2,
6,
3,
3,
4,
5,
5,
3,
3,
3,
3,
2,
2,
3,
4,
4,
4,
3,
4,
6,
7,
2,
2,
4,
2,
4,
3,
4,
4,
3,
4,
4,
5,
4,
6,
7,
5,
4,
4,
3,
2,
4,
3,
4,
2,
2,
4,
4,
3,
4,
3,
5,
5,
3,
5,
5,
2,
4,
4,
3,
3,
3,
3,
3,
5,
2,
3,
2,
4,
2,
2,
2,
5,
3,
3,
3,
3,
2,
4,
3,
4,
4,
6,
6,
6,
4,
4,
5,
3,
4,
4,
2,
2,
3,
3,
3,
4,
2,
3,
4,
2,
4,
4,
5,
4,
3,
3,
2,
2,
3,
4,
3,
4,
4,
4,
3,
2,
2,
2,
2,
5,
3,
2,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
6,
3,
1,
2,
2,
2,
4,
2,
2,
2,
4,
3,
4,
2,
2,
2,
2,
3,
5,
3,
2,
3,
5,
5,
2,
3,
6,
5,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
2,
7,
2,
3,
4,
3,
5,
3,
3,
3,
4,
1,
3,
2,
4,
3,
4,
2,
3,
5,
5,
2,
2,
3,
6,
4,
4,
2,
4,
3,
2,
4,
2,
4,
5,
3,
3,
3,
2,
4,
4,
4,
4,
6,
4,
4,
4,
4,
4,
4,
4,
2,
4,
7,
7,
4,
4,
2,
4,
3,
3,
3,
3,
2,
3,
2,
3,
2,
2,
2,
4,
2,
4,
1,
4,
4,
4,
3,
2,
3,
4,
2,
3,
3,
2,
2,
4,
5,
2,
4,
4,
3,
4,
2,
2,
5,
4,
5,
5,
2,
4,
2,
3,
3,
3,
4,
2,
4,
2,
3,
3,
3,
4,
3,
2,
4,
2,
3,
3,
2,
4,
4,
6,
5,
2,
2,
4,
1,
2,
3,
3,
2,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
2,
3,
1,
1,
3,
3,
5,
5,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
4,
4,
2,
5,
2,
2,
2,
2,
2,
5,
2,
2,
2,
4,
3,
4,
2,
4,
2,
2,
2,
2,
2,
4,
5,
4,
4,
4,
4,
2,
5,
3,
3,
6,
2,
5,
3,
3,
2,
3,
7,
4,
2,
4,
2,
5,
4,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
7,
7,
3,
2,
3,
4,
6,
2,
3,
3,
3,
2,
2,
8,
3,
2,
3,
2,
3,
2,
3,
4,
4,
4,
4,
5,
5,
4,
3,
3,
3,
3,
3,
2,
3,
4,
3,
4,
4,
4,
6,
4,
4,
4,
4,
4,
4,
3,
4,
3,
4,
5,
4,
4,
4,
3,
4,
3,
2,
3,
2,
2,
3,
2,
3,
3,
3,
3,
3,
4,
6,
3,
3,
3,
2,
2,
4,
4,
2,
2,
2,
3,
7,
2,
3,
4,
4,
2,
4,
3,
2,
2,
1,
2,
4,
4,
4,
2,
6,
3,
2,
3,
2,
4,
2,
2,
4,
3,
3,
3,
2,
4,
2,
3,
5,
3,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
4,
3,
3,
2,
4,
3,
3,
3,
7,
4,
5,
3,
3,
2,
6,
7,
3,
5,
5,
5,
5,
4,
3,
3,
3,
3,
3,
2,
3,
4,
3,
3,
4,
3,
3,
4,
4,
1,
3,
3,
4,
4,
3,
3,
4,
2,
2,
2,
2,
6,
6,
3,
2,
3,
3,
3,
5,
2,
5,
5,
4,
4,
3,
2,
3,
2,
4,
2,
5,
2,
5,
4,
2,
4,
4,
4,
4,
2,
2,
3,
3,
3,
2,
3,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
5,
4,
3,
3,
4,
4,
3,
4,
3,
3,
2,
2,
5,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
4,
5,
3,
2,
2,
2,
2,
2,
2,
4,
2,
4,
2,
3,
2,
3,
3,
3,
3,
2,
2,
4,
3,
4,
3,
3,
4,
2,
3,
3,
1,
4,
4,
3,
4,
4,
4,
4,
2,
2,
3,
3,
2,
3,
4,
3,
2,
8,
2,
5,
3,
4,
6,
2,
4,
1,
2,
2,
2,
3,
2,
1,
1,
2,
2,
3,
2,
4,
4,
3,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
2,
5,
2,
4,
2,
4,
4,
4,
3,
2,
2,
2,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
2,
3,
3,
3,
4,
2,
3,
2,
2,
6,
2,
3,
4,
2,
2,
5,
4,
2,
4,
4,
4,
2,
4,
2,
4,
2,
2,
2,
3,
2,
2,
2,
3,
3,
3,
2,
3,
4,
2,
4,
2,
2,
2,
4,
3,
3,
1,
3,
3,
2,
4,
2,
2,
3,
2,
2,
3,
4,
4,
3,
4,
3,
2,
2,
3,
2,
2,
4,
3,
3,
2,
3,
4,
4,
2,
3,
3,
3,
3,
3,
5,
2,
4,
4,
2,
2,
4,
4,
3,
5,
4,
4,
4,
4,
3,
1,
3,
3,
2,
4,
1,
4,
4,
4,
4,
4,
4,
5,
5,
2,
5,
1,
4,
2,
2,
2,
2,
3,
2,
2,
3,
4,
4,
2,
4,
6,
4,
4,
4,
2,
4,
2,
3,
3,
2,
2,
2,
2,
2,
5,
4,
2,
4,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
4,
3,
3,
2,
5,
4,
4,
4,
2,
4,
4,
8,
8,
4,
2,
3,
5,
2,
2,
4,
3,
5,
3,
2,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
2,
3,
3,
5,
3,
3,
2,
3,
4,
2,
3,
3,
3,
3,
6,
5,
7,
7,
3,
3,
4,
3,
2,
1,
1,
2,
2,
2,
2,
2,
1,
5,
2,
2,
3,
3,
5,
3,
4,
6,
3,
4,
2,
1,
3,
2,
5,
2,
2,
9,
4,
4,
2,
2,
2,
3,
4,
2,
2,
4,
4,
3,
4,
4,
3,
4,
4,
4,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
4,
3,
3,
2,
4,
1,
4,
3,
2,
2,
4,
2,
3,
2,
4,
4,
3,
3,
4,
5,
3,
2,
4,
5,
4,
4,
4,
4,
4,
4,
3,
5,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
2,
3,
2,
3,
3,
2,
5,
4,
2,
2,
4,
2,
3,
6,
2,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
3,
5,
5,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
4,
3,
4,
2,
2,
2,
4,
6,
4,
2,
3,
3,
2,
4,
4,
2,
2,
3,
1,
3,
2,
2,
5,
3,
3,
3,
3,
7,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
2,
4,
2,
4,
6,
3,
4,
4,
4,
4,
2,
2,
3,
3,
1,
3,
3,
3,
2,
4,
6,
5,
5,
5,
4,
4,
4,
4,
5,
3,
2,
3,
3,
3,
4,
3,
4,
3,
1,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
9,
3,
2,
4,
4,
2,
2,
7,
4,
3,
2,
3,
4,
2,
2,
3,
2,
3,
3,
2,
2,
5,
2,
2,
3,
2,
2,
2,
3,
2,
3,
3,
3,
2,
2,
3,
2,
2,
5,
5,
2,
3,
3,
2,
1,
2,
3,
3,
5,
4,
4,
1,
4,
4,
1,
2,
3,
4,
3,
5,
4,
3,
6,
4,
4,
3,
4,
3,
4,
4,
2,
6,
4,
9,
4,
4,
3,
3,
2,
3,
2,
3,
4,
3,
3,
6,
3,
2,
4,
4,
4,
2,
4,
4,
4,
2,
2,
5,
2,
4,
3,
5,
3,
2,
3,
4,
3,
2,
2,
2,
4,
4,
4,
3,
2,
2,
2,
4,
3,
6,
6,
3,
5,
3,
3,
3,
3,
3,
4,
3,
5,
6,
4,
2,
4,
5,
5,
5,
3,
5,
4,
4,
2,
2,
2,
2,
3,
4,
4,
4,
2,
2,
2,
2,
3,
1,
3,
3,
3,
1,
4,
4,
4,
4,
2,
4,
4,
3,
2,
4,
4,
5,
7,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
5,
5,
5,
4,
4,
4,
4,
3,
2,
3,
3,
4,
5,
5,
2,
5,
5,
3,
6,
4,
4,
2,
4,
4,
4,
5,
5,
2,
2,
2,
4,
2,
4,
3,
2,
2,
3,
3,
4,
2,
3,
2,
3,
3,
3,
1,
2,
3,
5,
3,
3,
4,
4,
4,
3,
2,
2,
5,
3,
6,
3,
3,
3,
3,
2,
3,
3,
2,
2,
4,
4,
4,
3,
3,
3,
4,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
5,
2,
2,
3,
7,
4,
2,
4,
2,
3,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
5,
3,
4,
2,
2,
2,
5,
4,
4,
4,
4,
2,
4,
4,
4,
2,
4,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
6,
2,
4,
5,
4,
4,
4,
2,
2,
2,
3,
4,
3,
4,
4,
3,
4,
3,
3,
4,
2,
2,
3,
4,
3,
3,
4,
2,
2,
2,
2,
4,
2,
2,
3,
2,
4,
5,
4,
2,
4,
2,
4,
3,
2,
2,
4,
3,
2,
2,
2,
3,
4,
3,
3,
2,
2,
3,
4,
4,
3,
4,
2,
3,
4,
2,
2,
3,
4,
4,
2,
3,
3,
2,
2,
4,
4,
3,
4,
2,
2,
4,
3,
4,
3,
3,
3,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
5,
3,
2,
3,
3,
3,
2,
1,
1,
2,
3,
5,
2,
5,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
4,
5,
5,
5,
5,
4,
3,
2,
2,
4,
4,
5,
5,
4,
2,
2,
3,
2,
2,
3,
4,
3,
4,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
3,
3,
6,
4,
2,
2,
2,
2,
2,
4,
5,
4,
3,
5,
2,
2,
4,
4,
4,
4,
2,
3,
4,
4,
4,
4,
3,
2,
3,
3,
4,
4,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
6,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
3,
6,
6,
3,
4,
4,
6,
4,
8,
2,
1,
2,
4,
4,
3,
3,
2,
4,
2,
3,
2,
3,
6,
2,
4,
2,
7,
4,
3,
4,
5,
3,
2,
2,
3,
2,
3,
3,
4,
3,
4,
2,
3,
2,
5,
3,
3,
3,
4,
2,
2,
2,
4,
2,
2,
4,
3,
2,
3,
2,
3,
2,
4,
2,
2,
3,
3,
2,
2,
4,
4,
2,
3,
5,
4,
3,
3,
3,
2,
2,
2,
5,
1,
2,
2,
3,
3,
5,
3,
3,
2,
3,
2,
2,
4,
3,
4,
3,
2,
4,
2,
3,
4,
4,
4,
4,
5,
4,
5,
2,
4,
3,
3,
2,
2,
3,
3,
4,
2,
4,
6,
4,
4,
4,
4,
3,
3,
3,
3,
5,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
7,
5,
4,
6,
5,
5,
2,
3,
2,
3,
3,
2,
2,
4,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
2,
5,
6,
7,
4,
2,
3,
3,
3,
2,
2,
3,
3,
3,
4,
1,
5,
5,
2,
2,
2,
3,
3,
5,
3,
3,
2,
3,
3,
5,
1,
5,
4,
3,
3,
3,
4,
4,
4,
3,
2,
2,
2,
3,
4,
4,
4,
2,
1,
2,
2,
4,
4,
2,
5,
2,
5,
2,
3,
2,
5,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
5,
3,
4,
3,
5,
2,
5,
3,
7,
4,
8,
8,
4,
5,
3,
2,
6,
3,
2,
1,
1,
3,
3,
4,
2,
2,
4,
2,
3,
4,
2,
4,
2,
2,
4,
4,
3,
3,
5,
2,
2,
4,
2,
2,
2,
2,
3,
2,
2,
4,
4,
2,
3,
3,
3,
3,
2,
4,
5,
5,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
4,
4,
2,
2,
2,
2,
4,
2,
5,
4,
3,
3,
2,
3,
3,
3,
3,
4,
4,
2,
3,
2,
4,
1,
4,
4,
4,
4,
4,
3,
6,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
1,
3,
5,
3,
6,
4,
6,
3,
5,
2,
3,
4,
4,
4,
4,
1,
5,
2,
3,
3,
5,
3,
3,
4,
3,
5,
3,
5,
3,
4,
3,
2,
3,
3,
2,
2,
4,
5,
3,
2,
2,
6,
4,
2,
2,
3,
2,
2,
4,
2,
2,
2,
7,
5,
5,
5,
3,
6,
2,
4,
7,
6,
4,
2,
2,
2,
3,
4,
5,
5,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
5,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
5,
4,
5,
3,
3,
5,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
7,
3,
5,
3,
5,
5,
3,
2,
2,
2,
2,
4,
2,
5,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
2,
4,
6,
4,
4,
5,
5,
4,
4,
4,
2,
3,
2,
2,
2,
4,
2,
4,
4,
4,
5,
3,
4,
2,
3,
5,
3,
4,
4,
5,
1,
3,
3,
3,
3,
3,
3,
3,
1,
5,
3,
2,
2,
2,
3,
1,
1,
4,
2,
2,
3,
3,
3,
3,
3,
1,
2,
3,
2,
4,
4,
3,
4,
2,
2,
3,
2,
3,
3,
2,
4,
3,
3,
4,
2,
3,
5,
2,
4,
3,
3,
4,
4,
3,
2,
2,
2,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
1,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
5,
2,
4,
5,
5,
6,
4,
2,
2,
5,
4,
3,
2,
3,
3,
4,
4,
5,
5,
3,
4,
4,
4,
3,
2,
2,
3,
2,
2,
2,
3,
2,
2,
4,
4,
4,
5,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
4,
2,
3,
2,
4,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
3,
3,
4,
3,
3,
2,
3,
3,
4,
3,
2,
2,
5,
2,
2,
3,
5,
5,
3,
4,
4,
4,
4,
4,
7,
2,
2,
1,
2,
2,
2,
2,
2,
2,
3,
3,
4,
1,
2,
2,
3,
4,
5,
3,
2,
3,
2,
4,
2,
3,
2,
3,
3,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
4,
6,
3,
3,
3,
3,
2,
3,
4,
3,
3,
3,
2,
3,
4,
4,
5,
3,
3,
2,
2,
5,
3,
3,
2,
3,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
4,
4,
3,
2,
4,
3,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
5,
5,
5,
5,
3,
3,
2,
2,
4,
4,
5,
3,
4,
4,
4,
5,
4,
6,
3,
4,
4,
2,
3,
1,
3,
2,
2,
2,
1,
3,
4,
3,
3,
5,
3,
3,
3,
3,
2,
3,
4,
4,
3,
2,
3,
3,
3,
3,
4,
4,
2,
6,
3,
3,
2,
3,
2,
2,
3,
4,
4,
2,
3,
4,
2,
3,
5,
5,
3,
6,
3,
4,
2,
4,
4,
2,
2,
3,
3,
3,
3,
3,
2,
3,
2,
1,
4,
2,
4,
1,
2,
3,
2,
4,
4,
6,
2,
3,
6,
4,
4,
2,
2,
4,
2,
2,
3,
2,
2,
1,
3,
4,
2,
4,
3,
3,
2,
4,
5,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
4,
4,
1,
4,
4,
6,
3,
2,
4,
4,
4,
4,
4,
4,
5,
4,
1,
2,
3,
2,
4,
5,
5,
2,
2,
4,
2,
5,
3,
2,
4,
4,
5,
4,
5,
3,
3,
4,
4,
2,
2,
5,
2,
4,
4,
2,
3,
3,
3,
3,
3,
3,
5,
2,
2,
4,
2,
3,
3,
4,
4,
3,
4,
5,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
6,
5,
4,
2,
2,
2,
2,
2,
2,
3,
3,
4,
5,
6,
4,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
5,
2,
3,
2,
3,
3,
3,
6,
2,
2,
4,
3,
6,
4,
3,
3,
4,
3,
2,
5,
2,
3,
2,
6,
6,
5,
2,
3,
3,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
3,
1,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
4,
3,
2,
2,
2,
3,
2,
2,
1,
4,
2,
3,
5,
3,
4,
3,
1,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
3,
4,
4,
4,
3,
3,
2,
3,
3,
2,
2,
2,
4,
6,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
2,
5,
3,
3,
5,
4,
4,
3,
4,
3,
3,
2,
5,
2,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
5,
2,
2,
4,
3,
3,
2,
4,
6,
2,
2,
3,
7,
2,
3,
3,
4,
4,
4,
4,
2,
2,
4,
3,
2,
3,
3,
3,
4,
3,
3,
4,
3,
2,
2,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
5,
2,
3,
2,
3,
3,
3,
3,
4,
2,
2,
4,
2,
3,
6,
2,
4,
3,
3,
3,
3,
4,
4,
2,
2,
5,
3,
3,
6,
2,
5,
5,
3,
3,
3,
3,
3,
3,
2,
3,
5,
6,
5,
4,
2,
3,
2,
2,
2,
2,
3,
4,
3,
3,
6,
2,
6,
3,
6,
4,
3,
5,
4,
4,
5,
4,
4,
2,
4,
4,
4,
4,
4,
5,
4,
4,
5,
3,
3,
2,
3,
5,
5,
3,
3,
3,
3,
4,
3,
2,
3,
4,
4,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
1,
4,
3,
4,
2,
3,
3,
3,
1,
1,
3,
2,
5,
3,
4,
7,
4,
4,
2,
3,
7,
3,
3,
1,
1,
4,
2,
4,
4,
4,
2,
4,
4,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
3,
3,
4,
4,
6,
3,
2,
2,
4,
6,
3,
5,
4,
2,
2,
4,
4,
3,
2,
2,
2,
5,
3,
4,
4,
4,
5,
4,
3,
3,
4,
2,
4,
2,
2,
4,
5,
3,
4,
4,
2,
5,
3,
2,
3,
3,
3,
4,
2,
2,
2,
4,
3,
2,
4,
3,
2,
2,
2,
4,
2,
4,
2,
3,
3,
3,
3,
2,
5,
3,
2,
4,
2,
5,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
5,
4,
4,
4,
2,
4,
2,
2,
4,
3,
2,
3,
2,
2,
3,
3,
3,
2,
3,
4,
3,
4,
4,
4,
2,
1,
2,
6,
2,
4,
4,
7,
4,
6,
4,
4,
4,
4,
5,
4,
4,
3,
3,
4,
3,
1,
2,
2,
5,
5,
4,
4,
4,
4,
6,
5,
4,
4,
4,
3,
5,
4,
5,
4,
4,
5,
4,
5,
3,
5,
3,
2,
3,
1,
2,
6,
4,
4,
4,
3,
1,
3,
3,
4,
3,
2,
2,
3,
3,
5,
5,
3,
4,
3,
2,
2,
3,
2,
4,
2,
3,
3,
3,
3,
4,
4,
3,
3,
4,
3,
5,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
2,
3,
2,
3,
6,
3,
5,
5,
4,
3,
4,
4,
3,
2,
2,
2,
3,
1,
2,
2,
3,
2,
6,
3,
4,
4,
4,
5,
2,
3,
3,
2,
2,
3,
1,
3,
4,
3,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
4,
4,
5,
3,
5,
4,
4,
4,
2,
3,
4,
4,
7,
2,
2,
2,
2,
3,
4,
3,
5,
4,
4,
4,
4,
4,
4,
2,
2,
3,
5,
1,
3,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
3,
3,
2,
3,
2,
1,
3,
2,
4,
4,
3,
4,
2,
3,
3,
4,
4,
2,
2,
4,
4,
3,
4,
4,
4,
3,
3,
2,
1,
3,
3,
3,
3,
3,
3,
3,
5,
6,
5,
4,
4,
8,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
3,
4,
4,
3,
3,
2,
3,
4,
4,
2,
2,
3,
3,
3,
2,
3,
2,
2,
3,
2,
2,
4,
2,
3,
3,
4,
2,
4,
2,
3,
3,
4,
4,
3,
3,
3,
6,
3,
6,
2,
3,
4,
6,
7,
7,
3,
3,
3,
2,
3,
3,
7,
4,
3,
4,
4,
6,
5,
3,
3,
4,
3,
3,
3,
2,
3,
3,
3,
4,
2,
4,
3,
2,
2,
2,
2,
4,
4,
3,
2,
3,
2,
3,
2,
3,
3,
2,
4,
5,
5,
2,
2,
4,
2,
2,
2,
4,
4,
4,
2,
4,
2,
2,
4,
2,
2,
2,
3,
3,
3,
4,
4,
2,
3,
6,
2,
2,
2,
3,
2,
4,
4,
3,
4,
3,
1,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
1,
2,
4,
3,
1,
2,
2,
4,
4,
4,
2,
2,
2,
2,
7,
2,
2,
4,
5,
4,
4,
2,
2,
2,
2,
3,
1,
5,
1,
3,
5,
4,
5,
2,
4,
4,
4,
4,
4,
2,
4,
4,
2,
3,
4,
3,
4,
4,
4,
2,
3,
3,
3,
3,
3,
5,
3,
3,
3,
3,
3,
4,
1,
4,
1,
4,
3,
4,
2,
1,
2,
2,
2,
5,
2,
2,
2,
2,
4,
4,
3,
3,
3,
1,
3,
2,
3,
2,
2,
2,
3,
2,
3,
3,
3,
5,
3,
3,
3,
2,
2,
2,
6,
6,
6,
6,
6,
2,
4,
4,
2,
3,
3,
1,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
3,
2,
3,
2,
2,
4,
4,
5,
2,
4,
4,
2,
3,
4,
2,
2,
4,
3,
3,
3,
4,
3,
4,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
7,
3,
4,
5,
5,
4,
2,
3,
5,
5,
2,
2,
5,
3,
3,
2,
6,
4,
4,
5,
3,
5,
3,
5,
3,
3,
4,
8,
4,
6,
4,
5,
5,
2,
3,
3,
3,
4,
5,
5,
4,
2,
2,
4,
3,
2,
3,
3,
3,
2,
4,
4,
4,
5,
4,
2,
2,
2,
4,
2,
2,
3,
5,
5,
4,
3,
4,
3,
3,
3,
4,
4,
2,
4,
4,
3,
3,
4,
3,
2,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
3,
3,
5,
2,
2,
2,
1,
3,
4,
3,
3,
2,
4,
2,
4,
2,
3,
3,
3,
3,
5,
6,
5,
5,
2,
2,
3,
3,
2,
2,
7,
4,
6,
3,
3,
7,
3,
3,
3,
6,
3,
4,
2,
2,
2,
2,
5,
5,
6,
2,
5,
2,
2,
4,
3,
3,
2,
2,
3,
2,
5,
3,
8,
2,
4,
4,
4,
3,
4,
1,
5,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
4,
4,
2,
4,
2,
2,
3,
2,
4,
4,
2,
2,
2,
1,
2,
4,
2,
2,
3,
4,
4,
4,
2,
2,
3,
4,
3,
2,
4,
4,
4,
3,
3,
3,
2,
4,
3,
2,
3,
3,
3,
4,
3,
3,
2,
3,
3,
4,
4,
4,
7,
8,
3,
2,
2,
3,
2,
6,
2,
4,
4,
4,
2,
2,
5,
2,
4,
2,
4,
4,
3,
5,
2,
2,
2,
2,
5,
5,
5,
5,
5,
2,
2,
2,
2,
2,
2,
1,
3,
3,
4,
2,
3,
3,
2,
3,
3,
3,
4,
4,
2,
2,
4,
4,
4,
4,
2,
4,
3,
3,
4,
4,
2,
3,
2,
4,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
1,
3,
3,
6,
3,
5,
5,
3,
3,
4,
4,
4,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
6,
5,
4,
6,
5,
4,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
3,
2,
3,
2,
2,
3,
2,
4,
4,
2,
4,
4,
4,
2,
2,
4,
4,
2,
2,
2,
2,
3,
3,
4,
4,
2,
4,
2,
4,
4,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
3,
4,
2,
7,
4,
3,
2,
4,
9,
5,
2,
4,
2,
4,
4,
2,
4,
3,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
2,
3,
3,
2,
3,
2,
2,
3,
3,
3,
5,
4,
2,
3,
2,
4,
2,
2,
3,
3,
4,
4,
2,
4,
4,
2,
2,
6,
4,
3,
2,
3,
2,
2,
4,
4,
4,
4,
4,
2,
4,
6,
6,
3,
2,
2,
2,
4,
3,
4,
4,
2,
4,
4,
4,
2,
2,
3,
2,
5,
3,
3,
3,
4,
3,
4,
4,
2,
2,
3,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
3,
4,
2,
3,
2,
2,
2,
5,
2,
2,
2,
2,
3,
3,
2,
2,
5,
6,
4,
5,
5,
4,
4,
4,
4,
4,
5,
3,
4,
7,
6,
2,
3,
2,
4,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
2,
3,
2,
4,
2,
4,
3,
2,
2,
2,
5,
3,
4,
3,
3,
2,
6,
3,
3,
2,
2,
3,
4,
3,
3,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
2,
3,
4,
2,
3,
4,
3,
3,
3,
2,
3,
3,
2,
3,
3,
6,
6,
3,
4,
3,
2,
4,
2,
4,
4,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
2,
4,
4,
3,
2,
2,
3,
3,
3,
4,
3,
2,
2,
2,
4,
2,
4,
4,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
1,
2,
3,
5,
3,
3,
3,
2,
3,
4,
4,
4,
3,
5,
2,
2,
4,
3,
4,
2,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
5,
4,
6,
4,
4,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
6,
3,
3,
2,
3,
5,
4,
4,
4,
4,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
5,
3,
2,
3,
3,
2,
2,
3,
2,
2,
3,
1,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
3,
2,
3,
3,
3,
2,
3,
4,
4,
2,
4,
4,
4,
3,
2,
5,
2,
4,
2,
2,
2,
4,
2,
2,
1,
2,
2,
2,
6,
2,
2,
2,
4,
4,
3,
3,
4,
5,
2,
3,
4,
2,
3,
2,
2,
3,
2,
2,
3,
3,
2,
2,
3,
4,
4,
2,
2,
3,
3,
6,
6,
3,
2,
4,
4,
4,
4,
3,
4,
2,
2,
4,
2,
3,
3,
2,
3,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
5,
3,
2,
3,
3,
2,
4,
4,
2,
2,
5,
4,
4,
3,
2,
4,
3,
2,
3,
4,
2,
2,
4,
2,
2,
2,
3,
3,
2,
3,
3,
5,
3,
3,
3,
2,
2,
4,
4,
3,
2,
2,
2,
3,
2,
2,
2,
3,
4,
4,
4,
4,
3,
3,
4,
4,
3,
2,
3,
3,
2,
2,
3,
7,
5,
2,
2,
3,
2,
3,
2,
4,
3,
3,
3,
2,
2,
2,
3,
3,
4,
2,
6,
4,
5,
4,
3,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
5,
4,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
2,
2,
6,
3,
2,
4,
4,
4,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
4,
3,
4,
2,
3,
3,
2,
3,
3,
3,
3,
4,
2,
2,
2,
3,
4,
3,
6,
2,
4,
3,
7,
4,
3,
5,
4,
5,
3,
3,
6,
4,
2,
3,
6,
4,
4,
4,
3,
4,
4,
2,
5,
4,
4,
4,
4,
5,
2,
4,
5,
3,
4,
2,
3,
4,
2,
3,
4,
2,
4,
6,
4,
2,
4,
4,
4,
3,
4,
2,
4,
4,
3,
2,
3,
3,
3,
3,
2,
3,
3,
2,
4,
5,
3,
4,
4,
2,
3,
2,
2,
5,
3,
4,
3,
3,
4,
4,
2,
2,
2,
4,
4,
4,
2,
2,
4,
4,
5,
3,
4,
2,
4,
4,
2,
2,
5,
3,
3,
2,
8,
3,
4,
4,
4,
5,
4,
4,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
4,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
7,
3,
3,
3,
3,
4,
3,
2,
4,
2,
4,
5,
3,
3,
3,
2,
3,
3,
3,
2,
2,
3,
2,
5,
4,
3,
2,
3,
2,
4,
4,
5,
2,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
3,
4,
6,
4,
2,
3,
3,
3,
5,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
4,
3,
3,
2,
3,
4,
4,
5,
2,
2,
4,
2,
2,
2,
4,
2,
4,
2,
4,
2,
4,
5,
2,
5,
4,
4,
3,
2,
3,
3,
2,
3,
3,
2,
2,
1,
3,
2,
4,
2,
4,
4,
3,
2,
2,
2,
5,
3,
3,
3,
4,
3,
3,
3,
3,
2,
4,
2,
4,
7,
4,
4,
2,
4,
4,
4,
4,
3,
5,
4,
5,
3,
3,
5,
5,
5,
5,
3,
2,
4,
2,
2,
2,
1,
3,
5,
5,
2,
3,
2,
3,
3,
3,
4,
2,
5,
2,
3,
3,
3,
2,
3,
4,
3,
3,
5,
2,
6,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
2,
2,
3,
4,
4,
3,
3,
4,
3,
2,
4,
2,
2,
2,
4,
4,
2,
4,
2,
3,
3,
3,
2,
2,
3,
3,
4,
4,
4,
3,
4,
2,
2,
3,
2,
3,
3,
3,
2,
4,
2,
5,
2,
3,
2,
4,
2,
4,
2,
3,
3,
2,
2,
4,
2,
4,
2,
5,
2,
3,
3,
3,
3,
3,
4,
4,
5,
4,
4,
4,
2,
4,
4,
4,
3,
3,
4,
3,
4,
4,
3,
4,
4,
2,
3,
2,
3,
3,
2,
4,
3,
6,
2,
3,
2,
4,
3,
2,
2,
2,
4,
4,
4,
4,
2,
3,
3,
2,
3,
4,
2,
5,
3,
3,
5,
3,
3,
3,
3,
3,
3,
2,
3,
3,
5,
4,
5,
3,
3,
4,
1,
3,
2,
2,
4,
2,
4,
4,
2,
3,
4,
2,
2,
2,
2,
2,
2,
3,
3,
4,
2,
2,
3,
4,
4,
2,
1,
4,
2,
3,
2,
2,
2,
2,
4,
4,
2,
4,
4,
2,
3,
2,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
4,
4,
4,
2,
4,
3,
2,
5,
2,
4,
3,
2,
4,
4,
4,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
7,
4,
3,
5,
7,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
5,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
3,
4,
4,
4,
4,
3,
2,
2,
4,
4,
5,
5,
5,
4,
5,
3,
2,
4,
6,
4,
4,
2,
4,
4,
4,
1,
4,
2,
4,
2,
4,
3,
2,
4,
2,
2,
2,
4,
4,
3,
3,
2,
3,
3,
3,
4,
2,
3,
2,
3,
2,
3,
3,
4,
2,
4,
5,
4,
4,
3,
2,
3,
5,
4,
5,
3,
2,
4,
4,
2,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
1,
4,
2,
3,
2,
3,
3,
3,
4,
4,
4,
2,
5,
2,
3,
3,
2,
2,
1,
2,
3,
9,
5,
3,
3,
5,
2,
2,
2,
3,
2,
2,
4,
2,
3,
3,
4,
3,
2,
2,
2,
1,
1,
3,
3,
3,
3,
2,
4,
4,
4,
4,
2,
3,
2,
2,
4,
3,
4,
2,
5,
4,
4,
2,
4,
2,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
5,
3,
3,
5,
2,
2,
1,
4,
2,
2,
4,
2,
3,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
5,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
2,
2,
3,
3,
2,
3,
4,
4,
6,
5,
2,
4,
4,
4,
4,
3,
4,
3,
3,
2,
2,
2,
4,
4,
6,
4,
3,
3,
3,
5,
4,
4,
4,
2,
3,
2,
4,
4,
4,
1,
1,
2,
2,
2,
2,
2,
2,
3,
4,
2,
4,
4,
4,
4,
4,
6,
4,
2,
5,
4,
3,
3,
4,
4,
4,
5,
4,
2,
8,
3,
8,
3,
3,
4,
2,
2,
2,
3,
2,
2,
5,
2,
2,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
5,
5,
3,
2,
4,
3,
2,
2,
2,
8,
2,
2,
2,
3,
2,
3,
4,
3,
4,
5,
4,
4,
2,
3,
5,
3,
3,
5,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
5,
5,
2,
2,
6,
2,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
5,
4,
2,
3,
3,
3,
4,
2,
2,
2,
3,
2,
2,
2,
3,
2,
3,
2,
3,
3,
4,
2,
2,
3,
4,
3,
2,
3,
3,
4,
3,
2,
4,
4,
3,
5,
4,
2,
2,
3,
3,
5,
2,
2,
3,
3,
2,
2,
3,
4,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
4,
6,
2,
4,
1,
5,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
2,
4,
4,
5,
2,
3,
3,
2,
4,
4,
4,
4,
2,
4,
3,
3,
3,
4,
4,
4,
3,
3,
4,
4,
3,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
2,
4,
2,
3,
3,
3,
3,
4,
4,
5,
4,
3,
4,
2,
2,
3,
2,
3,
1,
3,
2,
5,
5,
5,
5,
3,
6,
4,
4,
3,
3,
2,
3,
3,
6,
4,
2,
2,
4,
3,
2,
2,
3,
4,
4,
1,
4,
4,
8,
2,
2,
2,
2,
3,
5,
2,
2,
3,
2,
2,
4,
3,
3,
5,
3,
4,
3,
4,
5,
4,
2,
3,
4,
3,
4,
2,
3,
2,
4,
6,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
2,
8,
2,
2,
1,
4,
4,
4,
4,
3,
5,
4,
2,
4,
4,
2,
2,
3,
2,
3,
4,
2,
2,
2,
3,
3,
2,
2,
2,
7,
4,
4,
4,
2,
5,
4,
4,
2,
5,
3,
4,
2,
5,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
5,
5,
3,
4,
4,
3,
2,
4,
3,
3,
2,
4,
2,
4,
2,
3,
2,
2,
3,
4,
4,
4,
3,
4,
2,
4,
4,
2,
4,
6,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
3,
2,
4,
2,
3,
6,
8,
3,
6,
6,
4,
4,
2,
4,
4,
3,
4,
5,
4,
4,
4,
5,
5,
3,
5,
5,
3,
2,
1,
2,
3,
3,
2,
2,
2,
3,
3,
2,
7,
4,
3,
3,
3,
4,
2,
4,
2,
2,
3,
2,
3,
3,
3,
3,
4,
2,
2,
2,
4,
3,
4,
4,
3,
3,
3,
4,
4,
5,
5,
3,
3,
5,
3,
7,
2,
3,
2,
5,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
5,
3,
6,
3,
3,
3,
3,
1,
6,
5,
3,
4,
5,
4,
3,
3,
3,
4,
4,
4,
2,
2,
2,
3,
2,
5,
4,
3,
4,
3,
2,
3,
3,
3,
3,
3,
5,
5,
4,
4,
4,
3,
3,
2,
3,
5,
3,
3,
3,
4,
3,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
3,
2,
2,
2,
4,
2,
3,
4,
4,
4,
4,
3,
2,
2,
2,
4,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
3,
2,
4,
2,
2,
2,
4,
6,
3,
3,
3,
3,
3,
2,
2,
2,
7,
4,
2,
7,
4,
4,
3,
4,
4,
2,
3,
4,
4,
4,
4,
3,
2,
4,
3,
3,
3,
3,
2,
3,
3,
4,
4,
3,
3,
3,
5,
2,
1,
2,
2,
4,
4,
4,
3,
3,
2,
2,
4,
4,
4,
4,
3,
3,
4,
4,
4,
2,
2,
3,
3,
4,
4,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
3,
2,
3,
3,
2,
3,
3,
3,
2,
4,
4,
6,
4,
2,
3,
4,
3,
5,
4,
4,
4,
4,
2,
3,
2,
3,
2,
2,
3,
2,
2,
4,
4,
4,
2,
3,
3,
2,
4,
4,
2,
7,
6,
5,
5,
3,
4,
3,
2,
3,
2,
3,
3,
3,
5,
5,
4,
6,
4,
4,
3,
2,
4,
4,
4,
4,
5,
4,
5,
3,
5,
3,
4,
4,
4,
4,
3,
3,
3,
4,
3,
3,
2,
4,
2,
2,
2,
5,
3,
4,
3,
3,
3,
4,
4,
2,
2,
2,
2,
4,
4,
4,
2,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
4,
5,
2,
6,
3,
4,
3,
2,
4,
4,
6,
3,
3,
3,
3,
4,
4,
3,
3,
2,
2,
2,
2,
3,
6,
8,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
5,
4,
2,
3,
5,
3,
3,
4,
3,
3,
2,
2,
2,
4,
2,
4,
2,
3,
2,
2,
2,
3,
2,
3,
3,
6,
5,
3,
3,
2,
2,
3,
3,
3,
4,
5,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
3,
3,
3,
3,
2,
4,
2,
3,
3,
4,
3,
3,
2,
2,
4,
3,
4,
4,
4,
2,
2,
6,
2,
3,
7,
4,
4,
2,
4,
2,
2,
3,
2,
2,
2,
4,
2,
3,
1,
2,
4,
7,
3,
4,
4,
3,
2,
2,
4,
3,
2,
3,
3,
4,
2,
3,
2,
2,
4,
2,
3,
4,
4,
4,
4,
4,
2,
4,
2,
4,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
2,
2,
4,
2,
3,
2,
1,
2,
3,
4,
1,
4,
4,
3,
4,
4,
4,
3,
3,
3,
2,
4,
2,
3,
4,
4,
4,
4,
4,
3,
7,
5,
4,
2,
3,
6,
4,
4,
3,
3,
3,
4,
3,
4,
5,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
3,
5,
2,
4,
4,
4,
5,
2,
3,
3,
4,
2,
4,
4,
3,
4,
4,
4,
4,
4,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
3,
5,
6,
5,
5,
3,
4,
3,
4,
2,
2,
4,
4,
4,
4,
3,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
4,
4,
4,
5,
3,
2,
3,
3,
3,
2,
2,
3,
2,
4,
5,
4,
4,
3,
5,
2,
2,
2,
3,
3,
2,
3,
3,
5,
2,
2,
2,
2,
4,
2,
3,
5,
3,
6,
3,
4,
4,
4,
3,
3,
4,
5,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
3,
2,
3,
2,
3,
2,
8,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
3,
4,
4,
5,
2,
3,
3,
3,
3,
3,
6,
2,
2,
2,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
3,
5,
3,
4,
3,
3,
3,
6,
3,
3,
4,
2,
5,
4,
3,
3,
4,
4,
4,
4,
2,
2,
4,
2,
4,
4,
2,
4,
2,
4,
3,
2,
4,
3,
2,
2,
2,
2,
3,
3,
6,
4,
4,
3,
2,
2,
2,
4,
3,
3,
3,
4,
3,
4,
3,
2,
4,
2,
2,
2,
5,
2,
4,
2,
4,
4,
2,
4,
5,
3,
4,
3,
5,
3,
4,
4,
2,
5,
2,
2,
2,
4,
3,
4,
4,
4,
4,
5,
3,
2,
3,
4,
1,
3,
7,
2,
3,
6,
4,
4,
2,
5,
4,
2,
2,
3,
2,
2,
3,
2,
4,
3,
2,
5,
3,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
2,
4,
4,
4,
3,
3,
3,
6,
5,
5,
4,
3,
4,
4,
4,
4,
4,
5,
3,
2,
4,
4,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
4,
3,
3,
5,
2,
2,
2,
2,
3,
2,
3,
2,
3,
5,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
2,
3,
4,
5,
2,
5,
1,
1,
1,
1,
1,
1,
2,
2,
3,
3,
6,
4,
4,
6,
2,
2,
2,
2,
4,
3,
4,
5,
3,
7,
3,
4,
3,
3,
3,
3,
2,
2,
4,
4,
4,
3,
3,
2,
2,
3,
3,
2,
6,
4,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
2,
3,
3,
4,
4,
4,
4,
4,
2,
3,
3,
4,
5,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
3,
1,
2,
3,
4,
4,
5,
4,
2,
2,
4,
4,
4,
2,
4,
2,
5,
5,
5,
2,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
4,
2,
2,
4,
3,
4,
4,
3,
4,
4,
2,
4,
4,
4,
5,
3,
4,
3,
2,
2,
2,
4,
4,
2,
2,
4,
2,
2,
5,
2,
3,
2,
2,
2,
3,
4,
2,
2,
2,
4,
4,
3,
4,
4,
3,
3,
2,
2,
2,
4,
5,
4,
4,
4,
3,
3,
4,
2,
6,
2,
3,
3,
5,
3,
3,
4,
2,
2,
2,
6,
4,
3,
3,
5,
2,
5,
3,
2,
3,
3,
3,
2,
4,
2,
4,
2,
3,
3,
1,
2,
5,
3,
2,
5,
5,
2,
3,
2,
2,
3,
5,
5,
2,
2,
3,
3,
4,
3,
5,
2,
4,
4,
4,
5,
2,
4,
2,
3,
4,
4,
4,
3,
2,
2,
3,
3,
3,
2,
3,
3,
5,
1,
4,
4,
3,
3,
4,
4,
4,
3,
2,
2,
2,
3,
4,
4,
4,
4,
2,
3,
2,
3,
3,
5,
2,
2,
3,
4,
4,
3,
4,
2,
3,
4,
6,
3,
3,
4,
2,
3,
6,
3,
3,
3,
4,
4,
5,
4,
5,
3,
6,
6,
5,
2,
3,
3,
1,
4,
4,
3,
4,
2,
2,
4,
4,
5,
4,
4,
2,
2,
2,
5,
3,
3,
4,
3,
5,
4,
2,
2,
5,
4,
4,
2,
3,
5,
5,
5,
3,
3,
3,
3,
3,
4,
3,
5,
2,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
4,
3,
5,
4,
4,
3,
2,
2,
3,
6,
3,
3,
2,
2,
2,
2,
3,
4,
2,
2,
3,
2,
2,
4,
3,
3,
4,
4,
2,
2,
4,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
2,
4,
2,
2,
2,
2,
3,
3,
3,
4,
5,
4,
3,
3,
2,
2,
2,
2,
4,
4,
2,
2,
4,
3,
2,
4,
3,
3,
2,
4,
4,
4,
4,
4,
2,
3,
3,
2,
2,
3,
3,
4,
2,
3,
5,
5,
4,
7,
4,
2,
4,
4,
3,
4,
1,
2,
1,
3,
3,
2,
4,
4,
3,
5,
3,
4,
2,
3,
5,
4,
2,
2,
4,
3,
3,
2,
4,
4,
3,
3,
3,
3,
3,
4,
4,
2,
3,
2,
3,
3,
5,
2,
2,
4,
3,
2,
4,
1,
3,
2,
4,
5,
4,
5,
3,
2,
2,
2,
2,
4,
3,
4,
4,
4,
4,
5,
4,
3,
4,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
3,
5,
2,
2,
3,
2,
3,
5,
3,
3,
4,
4,
4,
4,
3,
4,
4,
4,
2,
2,
2,
4,
4,
2,
4,
3,
2,
3,
3,
2,
4,
2,
3,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
2,
3,
3,
2,
3,
2,
3,
2,
3,
3,
3,
3,
5,
7,
4,
4,
3,
3,
3,
3,
4,
4,
3,
4,
2,
2,
3,
2,
2,
2,
2,
3,
4,
4,
3,
2,
5,
3,
4,
4,
2,
4,
5,
3,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
2,
3,
2,
3,
4,
4,
4,
2,
5,
5,
5,
3,
2,
2,
2,
2,
4,
2,
4,
3,
3,
3,
3,
4,
4,
4,
6,
4,
3,
4,
4,
4,
3,
4,
2,
2,
3,
3,
4,
4,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
3,
2,
2,
2,
3,
2,
4,
4,
2,
2,
2,
4,
5,
4,
4,
4,
3,
3,
2,
3,
4,
4,
5,
4,
4,
2,
2,
3,
5,
3,
3,
2,
3,
4,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
3,
3,
3,
5,
6,
3,
4,
4,
3,
2,
2,
2,
3,
2,
3,
2,
5,
2,
3,
3,
2,
3,
4,
3,
5,
2,
3,
4,
4,
4,
4,
4,
3,
2,
2,
2,
4,
4,
5,
3,
2,
5,
3,
2,
2,
5,
4,
2,
3,
5,
2,
2,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
4,
4,
1,
3,
2,
4,
4,
2,
3,
4,
4,
4,
2,
2,
4,
2,
4,
2,
2,
3,
2,
2,
3,
3,
2,
2,
3,
7,
2,
2,
5,
3,
3,
6,
2,
2,
2,
2,
2,
2,
2,
2,
7,
4,
5,
3,
4,
4,
8,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
5,
4,
4,
2,
5,
4,
4,
7,
5,
4,
4,
6,
7,
2,
3,
2,
4,
5,
4,
4,
4,
4,
2,
2,
1,
3,
4,
2,
3,
2,
4,
2,
2,
2,
2,
4,
2,
4,
4,
3,
4,
5,
2,
2,
4,
4,
7,
4,
5,
3,
4,
3,
3,
2,
3,
2,
5,
4,
2,
2,
2,
4,
2,
2,
2,
2,
4,
2,
4,
4,
2,
2,
4,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
2,
3,
1,
4,
4,
7,
5,
2,
2,
7,
2,
4,
4,
5,
3,
4,
2,
4,
2,
4,
4,
7,
4,
2,
2,
3,
3,
3,
4,
3,
1,
4,
3,
4,
5,
3,
2,
2,
3,
2,
3,
5,
2,
2,
2,
2,
2,
4,
2,
2,
4,
3,
2,
2,
2,
4,
4,
2,
2,
4,
3,
5,
5,
5,
4,
4,
3,
3,
4,
4,
4,
4,
1,
4,
3,
4,
2,
2,
5,
2,
2,
3,
1,
2,
3,
3,
5,
4,
2,
4,
4,
4,
4,
3,
3,
3,
7,
4,
2,
2,
2,
4,
4,
4,
2,
3,
5,
3,
2,
2,
2,
4,
3,
2,
3,
3,
3,
3,
3,
3,
4,
3,
5,
2,
2,
2,
3,
4,
2,
6,
2,
2,
2,
4,
3,
2,
3,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
6,
3,
4,
2,
4,
4,
5,
3,
3,
6,
4,
4,
3,
7,
3,
2,
2,
4,
4,
5,
3,
3,
3,
2,
2,
2,
4,
4,
3,
4,
4,
2,
4,
3,
3,
3,
2,
1,
3,
3,
1,
1,
3,
6,
4,
2,
2,
4,
3,
5,
3,
2,
3,
2,
1,
2,
2,
3,
1,
2,
2,
4,
2,
3,
2,
2,
2,
4,
4,
4,
4,
5,
5,
6,
6,
2,
1,
4,
2,
3,
3,
2,
2,
2,
4,
4,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
2,
3,
3,
4,
4,
4,
3,
4,
4,
2,
2,
2,
2,
2,
4,
2,
3,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
4,
5,
2,
3,
2,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
4,
2,
2,
4,
2,
2,
4,
3,
3,
4,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
2,
5,
5,
3,
5,
5,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
4,
4,
5,
3,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
4,
4,
3,
4,
4,
3,
2,
2,
2,
4,
3,
3,
2,
2,
3,
4,
7,
3,
2,
2,
3,
3,
2,
6,
3,
4,
3,
4,
3,
4,
6,
3,
2,
4,
2,
2,
6,
1,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
2,
3,
4,
2,
2,
2,
2,
3,
5,
2,
1,
2,
2,
4,
2,
4,
2,
4,
4,
6,
5,
3,
5,
3,
3,
4,
4,
4,
4,
2,
2,
3,
2,
2,
1,
3,
3,
7,
2,
2,
4,
3,
2,
3,
3,
4,
4,
3,
3,
5,
3,
2,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
5,
4,
4,
3,
2,
3,
2,
3,
3,
3,
3,
3,
2,
3,
4,
6,
4,
4,
4,
2,
4,
3,
4,
3,
4,
2,
4,
3,
4,
4,
3,
4,
3,
4,
3,
3,
4,
4,
2,
4,
2,
4,
1,
4,
4,
4,
7,
4,
3,
2,
2,
4,
5,
4,
3,
2,
3,
2,
2,
2,
3,
3,
2,
2,
1,
6,
4,
4,
2,
3,
2,
2,
3,
3,
4,
3,
3,
3,
2,
3,
3,
4,
2,
2,
2,
4,
2,
3,
3,
3,
5,
4,
4,
2,
2,
2,
3,
2,
4,
4,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
3,
2,
3,
3,
4,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
4,
2,
4,
2,
3,
3,
3,
3,
5,
4,
5,
4,
2,
1,
4,
3,
6,
4,
4,
2,
2,
2,
1,
2,
3,
4,
4,
5,
2,
4,
4,
2,
4,
2,
4,
4,
5,
3,
3,
2,
3,
3,
3,
5,
4,
2,
3,
5,
5,
3,
3,
4,
3,
5,
6,
4,
8,
5,
4,
2,
4,
4,
2,
1,
4,
4,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
5,
4,
6,
1,
7,
4,
2,
4,
2,
2,
3,
3,
3,
4,
4,
4,
2,
5,
4,
6,
3,
5,
4,
2,
1,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
4,
4,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
2,
4,
5,
5,
4,
4,
4,
2,
4,
2,
2,
5,
1,
3,
4,
4,
5,
4,
3,
5,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
2,
2,
1,
2,
2,
4,
4,
4,
5,
5,
4,
4,
2,
2,
2,
4,
4,
6,
2,
5,
4,
2,
4,
2,
2,
2,
2,
3,
2,
4,
4,
2,
2,
4,
2,
5,
4,
3,
4,
2,
1,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
4,
2,
2,
4,
3,
3,
3,
3,
3,
4,
2,
3,
2,
3,
3,
3,
3,
4,
5,
5,
4,
5,
2,
2,
3,
2,
2,
2,
3,
3,
4,
2,
4,
4,
2,
3,
2,
3,
2,
3,
3,
2,
3,
3,
3,
3,
2,
4,
4,
7,
2,
3,
3,
2,
5,
2,
3,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
2,
5,
6,
3,
3,
3,
2,
2,
2,
4,
2,
4,
2,
5,
8,
4,
6,
1,
2,
3,
2,
3,
5,
3,
4,
3,
2,
3,
2,
4,
3,
6,
3,
6,
6,
3,
4,
3,
2,
2,
3,
2,
2,
3,
2,
3,
4,
6,
4,
4,
4,
5,
5,
4,
3,
4,
4,
4,
3,
4,
2,
5,
2,
2,
3,
2,
3,
4,
3,
3,
3,
2,
1,
3,
3,
6,
6,
6,
4,
4,
4,
2,
3,
5,
5,
2,
3,
3,
3,
3,
4,
3,
1,
2,
6,
4,
4,
2,
4,
4,
4,
5,
4,
5,
2,
2,
4,
4,
4,
4,
6,
4,
3,
4,
3,
2,
2,
3,
2,
3,
2,
4,
2,
4,
3,
3,
4,
3,
3,
2,
3,
2,
4,
2,
3,
4,
4,
4,
2,
3,
4,
2,
3,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
1,
4,
2,
3,
2,
2,
3,
4,
2,
2,
3,
2,
5,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
4,
2,
2,
2,
3,
4,
4,
2,
4,
3,
2,
2,
1,
2,
2,
2,
4,
5,
4,
2,
3,
2,
5,
2,
1,
2,
4,
2,
3,
4,
4,
2,
4,
4,
3,
2,
1,
1,
1,
3,
2,
2,
3,
5,
2,
3,
6,
1,
1,
2,
2,
5,
2,
7,
2,
2,
4,
2,
2,
5,
3,
2,
4,
5,
4,
3,
3,
2,
2,
5,
5,
2,
4,
3,
2,
3,
3,
3,
3,
2,
4,
2,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
4,
3,
1,
2,
3,
2,
3,
5,
4,
3,
4,
2,
2,
5,
2,
4,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
3,
3,
3,
4,
4,
3,
2,
2,
3,
4,
2,
3,
2,
4,
4,
2,
3,
2,
4,
3,
2,
2,
2,
4,
3,
4,
2,
3,
2,
2,
2,
3,
2,
3,
4,
3,
4,
3,
5,
2,
4,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
6,
3,
2,
3,
3,
3,
2,
2,
4,
5,
4,
6,
3,
3,
5,
2,
2,
2,
3,
3,
2,
2,
2,
2,
4,
2,
4,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
4,
2,
2,
6,
4,
4,
3,
2,
4,
5,
3,
4,
2,
2,
3,
2,
4,
2,
5,
5,
5,
5,
3,
2,
5,
2,
2,
4,
4,
2,
3,
2,
4,
4,
2,
3,
4,
4,
3,
4,
5,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
4,
3,
2,
4,
2,
3,
3,
3,
2,
2,
2,
2,
3,
5,
2,
4,
5,
3,
2,
3,
2,
5,
4,
4,
4,
4,
7,
6,
3,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
2,
3,
3,
2,
3,
2,
3,
3,
6,
3,
2,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
5,
4,
4,
4,
2,
2,
2,
2,
3,
4,
2,
2,
3,
3,
3,
3,
3,
2,
2,
4,
2,
3,
3,
3,
2,
4,
3,
3,
2,
5,
4,
2,
3,
3,
2,
5,
4,
3,
2,
3,
4,
2,
2,
2,
4,
4,
4,
3,
2,
3,
2,
2,
3,
4,
4,
5,
3,
4,
3,
3,
4,
4,
3,
5,
2,
3,
4,
5,
2,
4,
4,
6,
7,
4,
4,
4,
4,
2,
2,
5,
4,
4,
3,
4,
3,
2,
4,
2,
2,
2,
2,
3,
2,
4,
4,
2,
2,
3,
2,
2,
4,
2,
3,
3,
3,
4,
2,
4,
3,
2,
3,
4,
3,
4,
2,
2,
2,
4,
4,
3,
2,
3,
4,
2,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
2,
4,
2,
6,
4,
4,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
3,
3,
2,
4,
3,
2,
2,
3,
4,
4,
4,
5,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
2,
3,
3,
3,
3,
2,
2,
3,
3,
2,
3,
2,
3,
4,
5,
3,
4,
2,
4,
2,
6,
5,
2,
2,
2,
3,
3,
3,
2,
3,
4,
6,
3,
5,
4,
3,
3,
2,
2,
2,
3,
3,
3,
5,
2,
3,
2,
3,
2,
2,
2,
2,
2,
3,
4,
1,
6,
4,
2,
5,
3,
2,
3,
4,
3,
3,
4,
4,
3,
3,
4,
4,
4,
2,
2,
3,
3,
4,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
2,
2,
4,
4,
3,
3,
4,
4,
1,
5,
3,
3,
2,
3,
2,
4,
3,
5,
2,
6,
4,
2,
4,
3,
3,
4,
2,
2,
2,
2,
3,
3,
5,
3,
6,
4,
4,
4,
3,
6,
2,
2,
2,
4,
2,
3,
4,
4,
4,
2,
2,
3,
3,
4,
3,
3,
3,
4,
3,
4,
4,
4,
4,
5,
4,
4,
3,
3,
3,
4,
2,
4,
5,
4,
2,
2,
2,
1,
3,
2,
1,
1,
6,
4,
5,
4,
4,
3,
3,
3,
2,
3,
3,
3,
3,
7,
3,
4,
5,
2,
2,
6,
4,
2,
2,
4,
2,
4,
2,
4,
4,
3,
3,
3,
2,
7,
2,
4,
3,
2,
3,
6,
2,
2,
2,
3,
4,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
2,
2,
2,
3,
4,
3,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
2,
2,
4,
2,
3,
2,
4,
5,
2,
2,
4,
3,
5,
3,
3,
6,
3,
3,
3,
3,
4,
4,
4,
2,
5,
4,
4,
2,
3,
1,
3,
4,
7,
3,
3,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
3,
4,
2,
8,
4,
2,
4,
3,
5,
2,
4,
3,
4,
2,
5,
3,
4,
4,
2,
3,
3,
3,
4,
2,
2,
2,
2,
1,
2,
2,
2,
3,
3,
2,
3,
4,
4,
6,
3,
2,
4,
9,
9,
5,
3,
3,
8,
6,
2,
3,
4,
1,
4,
5,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
2,
4,
2,
3,
2,
4,
5,
2,
1,
1,
1,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
2,
4,
2,
3,
2,
2,
2,
4,
2,
2,
4,
4,
5,
2,
3,
2,
4,
2,
2,
2,
5,
4,
4,
2,
5,
3,
4,
2,
2,
3,
4,
4,
3,
4,
2,
4,
3,
3,
3,
3,
4,
2,
2,
6,
6,
2,
2,
4,
4,
4,
3,
3,
3,
3,
4,
4,
4,
3,
4,
4,
3,
4,
3,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
6,
3,
3,
6,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
3,
2,
3,
3,
3,
2,
6,
2,
2,
4,
2,
3,
3,
2,
2,
2,
3,
6,
4,
2,
3,
4,
4,
4,
4,
2,
3,
4,
5,
4,
4,
4,
1,
4,
3,
1,
4,
4,
4,
8,
5,
2,
2,
2,
2,
3,
2,
5,
3,
2,
2,
3,
5,
2,
4,
4,
2,
4,
4,
2,
4,
2,
5,
4,
3,
3,
3,
2,
2,
2,
3,
4,
4,
6,
3,
4,
3,
4,
3,
3,
2,
3,
3,
3,
2,
4,
2,
5,
3,
3,
5,
4,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
4,
2,
4,
2,
2,
2,
3,
2,
2,
4,
2,
3,
3,
5,
5,
6,
4,
6,
5,
4,
2,
6,
3,
4,
4,
4,
4,
5,
4,
3,
3,
3,
3,
3,
5,
4,
4,
4,
4,
2,
2,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
1,
2,
2,
5,
4,
2,
1,
2,
2,
5,
3,
4,
4,
2,
2,
4,
2,
4,
4,
4,
4,
3,
2,
2,
3,
4,
5,
3,
3,
2,
2,
2,
2,
2,
7,
6,
3,
2,
2,
3,
2,
2,
3,
4,
3,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
5,
5,
4,
4,
3,
5,
2,
4,
4,
3,
3,
4,
3,
4,
5,
5,
3,
3,
3,
4,
2,
2,
3,
4,
3,
3,
3,
4,
5,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
3,
4,
4,
2,
3,
4,
3,
3,
5,
7,
6,
5,
6,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
5,
2,
3,
4,
2,
2,
4,
4,
3,
5,
2,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
3,
3,
3,
4,
2,
4,
2,
4,
2,
3,
7,
5,
6,
5,
4,
4,
3,
4,
4,
3,
3,
3,
4,
4,
5,
6,
4,
5,
3,
4,
4,
3,
5,
4,
5,
5,
4,
2,
4,
4,
3,
3,
2,
3,
3,
6,
2,
4,
3,
4,
2,
4,
2,
2,
3,
2,
2,
4,
4,
4,
3,
2,
4,
4,
5,
3,
3,
5,
4,
4,
4,
3,
3,
5,
2,
3,
3,
2,
3,
4,
3,
4,
3,
4,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
5,
4,
2,
2,
2,
2,
1,
3,
5,
2,
4,
2,
4,
4,
4,
4,
3,
3,
5,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
6,
6,
2,
2,
2,
3,
4,
5,
4,
3,
2,
2,
2,
7,
5,
6,
5,
3,
4,
2,
4,
4,
4,
2,
2,
4,
3,
4,
5,
3,
4,
2,
4,
4,
4,
4,
4,
3,
5,
2,
3,
2,
2,
3,
3,
4,
3,
1,
3,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
5,
3,
3,
4,
2,
4,
4,
3,
4,
4,
3,
3,
3,
5,
3,
4,
4,
3,
5,
2,
2,
2,
2,
4,
6,
4,
4,
4,
4,
3,
8,
3,
5,
2,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
3,
3,
7,
3,
5,
3,
2,
3,
7,
2,
3,
4,
4,
2,
3,
3,
2,
3,
4,
4,
4,
3,
4,
3,
3,
5,
4,
4,
2,
7,
2,
2,
2,
3,
3,
4,
4,
4,
2,
4,
2,
2,
4,
2,
3,
2,
5,
2,
3,
4,
3,
3,
3,
4,
4,
4,
2,
4,
4,
3,
3,
3,
2,
3,
5,
4,
4,
4,
4,
4,
2,
3,
2,
3,
5,
3,
6,
3,
2,
4,
4,
3,
5,
2,
3,
3,
5,
2,
2,
2,
6,
6,
4,
4,
4,
5,
2,
4,
2,
2,
2,
5,
3,
3,
2,
2,
3,
2,
4,
2,
2,
2,
2,
4,
3,
2,
4,
5,
4,
4,
4,
1,
1,
2,
4,
3,
2,
4,
2,
2,
2,
2,
5,
4,
4,
4,
2,
3,
2,
2,
4,
4,
3,
4,
4,
2,
4,
4,
2,
3,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
3,
2,
3,
3,
2,
2,
3,
3,
2,
2,
3,
2,
2,
3,
2,
4,
3,
3,
3,
4,
4,
3,
7,
4,
4,
2,
2,
2,
2,
3,
2,
3,
4,
3,
4,
3,
3,
2,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
2,
6,
5,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
5,
4,
6,
4,
4,
4,
4,
2,
2,
4,
4,
4,
2,
2,
3,
3,
4,
3,
3,
3,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
1,
3,
1,
5,
3,
6,
5,
4,
2,
2,
2,
2,
1,
3,
3,
3,
4,
7,
4,
5,
2,
3,
3,
3,
2,
4,
6,
3,
4,
4,
3,
7,
4,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
2,
2,
2,
3,
4,
3,
2,
4,
2,
4,
2,
3,
2,
4,
4,
2,
6,
3,
4,
3,
3,
3,
2,
2,
5,
4,
3,
4,
2,
2,
2,
2,
3,
2,
2,
4,
3,
2,
3,
5,
5,
4,
3,
3,
4,
5,
4,
4,
4,
4,
4,
2,
2,
1,
2,
4,
2,
2,
2,
2,
5,
3,
5,
4,
2,
2,
4,
2,
2,
2,
4,
3,
3,
2,
2,
4,
3,
2,
3,
4,
2,
2,
3,
3,
3,
2,
3,
3,
4,
4,
2,
4,
4,
4,
3,
3,
4,
3,
4,
4,
4,
4,
4,
3,
4,
4,
2,
4,
2,
3,
2,
4,
2,
6,
4,
4,
4,
3,
2,
3,
2,
4,
3,
4,
2,
2,
4,
2,
2,
4,
2,
4,
4,
4,
4,
3,
4,
4,
3,
3,
3,
2,
4,
2,
2,
2,
4,
3,
7,
2,
2,
2,
3,
4,
3,
3,
4,
4,
2,
3,
3,
3,
3,
4,
4,
3,
2,
2,
3,
3,
3,
4,
2,
2,
5,
4,
4,
4,
2,
2,
4,
4,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
6,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
4,
4,
4,
4,
3,
2,
2,
2,
2,
3,
2,
4,
2,
5,
2,
3,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
2,
4,
4,
4,
2,
3,
2,
3,
3,
3,
2,
3,
2,
2,
2,
2,
3,
2,
6,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
3,
3,
3,
2,
2,
4,
4,
2,
3,
4,
3,
4,
4,
2,
2,
5,
4,
5,
4,
4,
4,
2,
3,
2,
2,
3,
5,
3,
2,
4,
7,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
2,
3,
1,
1,
3,
1,
2,
4,
2,
4,
4,
4,
2,
3,
2,
2,
2,
3,
4,
3,
4,
2,
4,
2,
3,
3,
2,
3,
3,
3,
6,
6,
3,
3,
4,
5,
5,
2,
3,
3,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
3,
6,
3,
4,
2,
6,
3,
4,
4,
3,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
2,
2,
2,
6,
4,
2,
2,
2,
5,
3,
3,
3,
3,
4,
4,
4,
3,
3,
3,
4,
5,
3,
3,
7,
4,
4,
2,
2,
2,
2,
5,
3,
3,
3,
4,
3,
2,
2,
2,
4,
2,
4,
4,
4,
2,
2,
2,
3,
3,
6,
3,
3,
2,
3,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
5,
2,
2,
2,
2,
4,
3,
3,
7,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
3,
3,
3,
5,
6,
6,
2,
2,
2,
2,
4,
4,
4,
4,
3,
2,
3,
2,
4,
4,
1,
3,
2,
7,
3,
3,
2,
2,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
3,
4,
2,
4,
3,
2,
3,
3,
2,
3,
3,
4,
6,
4,
3,
3,
2,
2,
4,
3,
2,
2,
5,
4,
2,
2,
3,
4,
4,
2,
3,
3,
2,
3,
2,
2,
3,
3,
4,
3,
4,
2,
4,
1,
4,
3,
3,
4,
4,
4,
5,
2,
2,
2,
2,
6,
6,
4,
4,
4,
4,
4,
4,
5,
2,
2,
5,
4,
4,
2,
4,
2,
2,
2,
7,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
3,
3,
3,
2,
2,
4,
4,
3,
3,
5,
2,
4,
3,
4,
2,
2,
4,
2,
2,
2,
2,
2,
5,
2,
1,
4,
2,
4,
4,
4,
4,
4,
3,
1,
2,
5,
4,
4,
2,
2,
2,
2,
3,
2,
3,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
7,
2,
2,
2,
4,
4,
2,
3,
1,
2,
2,
3,
2,
2,
2,
2,
3,
4,
1,
2,
4,
6,
8,
4,
4,
3,
2,
3,
2,
3,
3,
4,
4,
3,
3,
2,
3,
3,
3,
3,
3,
4,
3,
2,
2,
4,
4,
1,
4,
4,
8,
4,
6,
3,
5,
3,
3,
5,
3,
4,
4,
4,
4,
3,
4,
3,
3,
3,
5,
4,
4,
2,
7,
4,
4,
3,
5,
6,
2,
4,
5,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
3,
3,
2,
4,
2,
4,
3,
3,
4,
4,
5,
3,
2,
3,
6,
3,
2,
6,
6,
3,
5,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
4,
3,
2,
4,
4,
4,
6,
1,
4,
4,
2,
3,
3,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
3,
3,
2,
3,
1,
1,
4,
3,
1,
4,
2,
2,
3,
5,
4,
2,
4,
3,
5,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
2,
2,
5,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
4,
4,
3,
2,
4,
2,
3,
3,
4,
2,
3,
4,
4,
2,
3,
4,
2,
3,
3,
3,
2,
1,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
4,
2,
2,
2,
2,
3,
4,
2,
1,
3,
2,
4,
4,
2,
3,
3,
2,
5,
5,
4,
5,
5,
4,
3,
1,
3,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
1,
2,
2,
2,
5,
3,
3,
4,
2,
4,
5,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
4,
4,
4,
3,
2,
3,
4,
4,
3,
2,
2,
3,
3,
4,
3,
5,
2,
4,
8,
4,
2,
2,
2,
2,
4,
3,
2,
5,
2,
3,
3,
2,
2,
2,
3,
4,
3,
2,
2,
2,
4,
2,
4,
3,
3,
5,
4,
6,
3,
2,
3,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
6,
4,
3,
3,
3,
6,
2,
2,
2,
3,
4,
3,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
2,
3,
4,
2,
4,
2,
3,
3,
5,
5,
4,
3,
4,
2,
2,
2,
2,
2,
6,
4,
4,
4,
4,
4,
3,
2,
2,
2,
3,
6,
2,
4,
4,
4,
2,
3,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
4,
3,
3,
4,
3,
2,
2,
4,
2,
2,
4,
2,
2,
1,
4,
3,
2,
4,
4,
2,
2,
4,
4,
3,
2,
4,
5,
7,
4,
1,
1,
2,
3,
1,
1,
6,
2,
3,
3,
3,
6,
12,
4,
4,
2,
2,
2,
4,
1,
4,
4,
3,
3,
2,
4,
3,
4,
4,
4,
4,
3,
3,
4,
2,
4,
4,
2,
3,
2,
4,
3,
4,
3,
4,
3,
4,
3,
3,
3,
5,
3,
2,
3,
3,
4,
4,
2,
2,
2,
4,
3,
4,
2,
4,
2,
3,
3,
3,
4,
2,
2,
3,
7,
4,
4,
3,
4,
4,
3,
3,
6,
5,
3,
3,
2,
4,
3,
4,
5,
3,
3,
2,
4,
2,
4,
4,
4,
4,
2,
2,
4,
3,
2,
2,
3,
3,
3,
5,
6,
5,
4,
6,
6,
2,
3,
5,
2,
2,
4,
3,
5,
4,
5,
4,
2,
2,
2,
4,
4,
2,
4,
2,
3,
2,
3,
3,
2,
4,
3,
4,
3,
2,
4,
3,
2,
3,
2,
2,
4,
4,
2,
4,
4,
3,
2,
3,
3,
1,
4,
4,
3,
3,
3,
3,
3,
5,
4,
2,
3,
4,
3,
2,
4,
2,
4,
5,
6,
3,
3,
3,
4,
2,
2,
4,
3,
2,
2,
4,
5,
2,
3,
2,
4,
4,
2,
2,
2,
3,
5,
3,
2,
2,
3,
4,
2,
3,
5,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
7,
5,
3,
4,
2,
4,
4,
3,
3,
2,
2,
2,
2,
2,
3,
6,
4,
2,
2,
4,
4,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
4,
4,
4,
4,
3,
2,
2,
2,
3,
3,
4,
2,
2,
2,
3,
3,
3,
2,
3,
4,
5,
2,
3,
2,
3,
6,
4,
4,
2,
2,
4,
4,
4,
2,
3,
5,
3,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
4,
3,
2,
3,
4,
4,
2,
4,
3,
2,
5,
3,
4,
2,
2,
5,
4,
4,
3,
6,
4,
4,
3,
2,
3,
3,
4,
3,
2,
3,
2,
4,
4,
4,
2,
2,
3,
3,
2,
2,
5,
3,
4,
4,
3,
3,
2,
2,
2,
4,
3,
2,
3,
2,
2,
2,
3,
3,
3,
2,
3,
5,
2,
3,
2,
3,
2,
3,
3,
5,
2,
7,
3,
2,
4,
1,
2,
2,
4,
4,
4,
4,
2,
2,
4,
2,
4,
4,
2,
4,
4,
3,
4,
4,
2,
2,
3,
2,
2,
2,
2,
3,
2,
4,
3,
3,
3,
2,
3,
4,
7,
2,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
5,
2,
2,
3,
5,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
5,
3,
3,
5,
3,
5,
2,
3,
4,
2,
6,
3,
2,
2,
3,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
8,
6,
3,
4,
4,
4,
2,
2,
2,
3,
3,
3,
2,
2,
3,
4,
6,
5,
6,
2,
3,
3,
3,
2,
3,
2,
2,
3,
2,
2,
2,
3,
2,
2,
7,
5,
4,
3,
2,
3,
3,
4,
3,
4,
7,
2,
2,
6,
6,
4,
2,
3,
2,
2,
4,
2,
1,
4,
4,
4,
3,
2,
4,
3,
5,
2,
4,
3,
2,
3,
3,
3,
1,
3,
3,
3,
3,
3,
2,
2,
3,
4,
2,
4,
4,
4,
3,
4,
4,
2,
2,
2,
4,
3,
3,
4,
4,
2,
4,
3,
4,
2,
2,
1,
2,
4,
4,
4,
4,
3,
2,
5,
3,
6,
2,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
4,
2,
1,
2,
2,
2,
2,
2,
5,
2,
2,
2,
2,
4,
2,
4,
4,
2,
4,
2,
2,
2,
2,
3,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
1,
2,
5,
2,
3,
2,
2,
4,
5,
5,
4,
4,
6,
6,
4,
4,
2,
2,
2,
2,
3,
4,
2,
2,
4,
6,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
4,
2,
2,
3,
4,
2,
3,
3,
3,
5,
4,
5,
3,
3,
3,
2,
6,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
2,
4,
4,
3,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
1,
6,
3,
3,
3,
3,
1,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
5,
4,
2,
2,
4,
4,
3,
4,
2,
2,
6,
3,
3,
2,
4,
4,
4,
5,
2,
3,
3,
2,
3,
4,
3,
3,
4,
5,
3,
3,
5,
4,
3,
2,
3,
3,
4,
2,
2,
2,
2,
3,
3,
4,
4,
2,
1,
4,
4,
5,
3,
4,
3,
7,
3,
4,
4,
2,
5,
5,
3,
2,
4,
2,
2,
3,
4,
4,
2,
2,
2,
3,
2,
2,
4,
5,
2,
3,
6,
5,
2,
4,
5,
3,
3,
3,
3,
2,
3,
3,
2,
2,
3,
3,
3,
2,
2,
3,
1,
3,
3,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
6,
4,
5,
4,
4,
4,
4,
2,
2,
4,
3,
3,
4,
4,
4,
4,
2,
3,
4,
4,
5,
6,
7,
3,
4,
3,
3,
4,
3,
3,
3,
3,
5,
7,
5,
5,
4,
3,
3,
3,
5,
3,
2,
5,
3,
3,
2,
2,
2,
2,
5,
3,
2,
4,
2,
3,
2,
4,
3,
4,
5,
3,
2,
2,
4,
2,
2,
4,
3,
6,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
3,
4,
4,
3,
3,
4,
2,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
5,
4,
5,
4,
4,
3,
4,
6,
3,
3,
4,
7,
4,
2,
2,
2,
4,
3,
2,
3,
3,
3,
3,
2,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
4,
3,
2,
2,
2,
4,
4,
3,
5,
2,
2,
2,
4,
2,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
3,
2,
3,
2,
3,
6,
2,
2,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
3,
4,
2,
3,
2,
1,
2,
2,
2,
1,
3,
2,
2,
1,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
1,
3,
5,
4,
2,
3,
2,
2,
4,
3,
3,
3,
3,
3,
2,
4,
2,
4,
3,
4,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
3,
3,
3,
3,
4,
2,
1,
4,
4,
2,
2,
3,
3,
3,
2,
4,
2,
7,
2,
6,
4,
8,
4,
4,
2,
2,
4,
2,
4,
3,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
2,
3,
3,
3,
4,
4,
4,
2,
2,
3,
4,
1,
2,
1,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
5,
2,
3,
4,
3,
4,
2,
3,
2,
2,
3,
2,
2,
5,
5,
4,
5,
3,
2,
3,
2,
2,
2,
2,
3,
3,
2,
4,
2,
2,
4,
2,
4,
3,
4,
2,
4,
2,
3,
4,
2,
3,
3,
1,
2,
2,
2,
4,
2,
2,
2,
3,
4,
4,
4,
5,
3,
3,
4,
4,
4,
4,
4,
5,
3,
3,
3,
3,
2,
2,
4,
4,
3,
4,
4,
4,
3,
3,
4,
3,
2,
2,
3,
3,
4,
4,
5,
2,
5,
3,
4,
4,
3,
2,
2,
2,
2,
4,
4,
1,
3,
2,
4,
3,
6,
2,
4,
3,
2,
4,
3,
3,
3,
3,
2,
2,
3,
4,
5,
3,
2,
2,
2,
4,
1,
2,
3,
3,
2,
3,
2,
3,
3,
3,
4,
4,
7,
4,
2,
2,
2,
5,
4,
4,
3,
3,
5,
3,
3,
3,
4,
3,
3,
2,
2,
3,
5,
3,
2,
3,
5,
3,
2,
3,
4,
3,
2,
3,
2,
2,
4,
2,
2,
4,
2,
2,
4,
4,
4,
4,
4,
2,
4,
2,
2,
4,
4,
2,
2,
2,
3,
2,
2,
3,
4,
2,
2,
4,
3,
2,
3,
5,
3,
3,
2,
4,
1,
1,
1,
2,
1,
3,
3,
3,
3,
3,
4,
2,
4,
1,
4,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
2,
3,
3,
2,
2,
4,
2,
3,
4,
2,
4,
2,
3,
3,
3,
2,
2,
3,
4,
3,
3,
3,
3,
4,
3,
1,
4,
4,
4,
4,
4,
4,
1,
2,
2,
3,
2,
1,
1,
2,
2,
2,
2,
2,
2,
2,
3,
6,
5,
3,
3,
4,
3,
2,
3,
3,
3,
4,
2,
3,
2,
5,
3,
3,
2,
5,
3,
3,
3,
6,
3,
3,
2,
4,
3,
4,
4,
2,
3,
3,
3,
3,
2,
3,
4,
4,
6,
3,
2,
2,
2,
2,
2,
2,
4,
4,
5,
4,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
3,
2,
3,
4,
4,
4,
8,
5,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
6,
2,
3,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
4,
3,
3,
3,
2,
7,
2,
3,
4,
3,
2,
4,
2,
2,
3,
3,
2,
2,
4,
3,
4,
4,
4,
4,
2,
3,
3,
2,
2,
2,
4,
4,
3,
4,
2,
6,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
9,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
4,
2,
1,
4,
4,
2,
2,
5,
5,
5,
5,
2,
5,
3,
2,
2,
2,
3,
2,
4,
3,
2,
3,
2,
2,
4,
5,
5,
2,
4,
4,
5,
2,
2,
3,
5,
3,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
3,
2,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
1,
4,
2,
3,
3,
4,
4,
3,
3,
4,
2,
2,
3,
4,
4,
4,
2,
2,
2,
5,
6,
4,
4,
3,
4,
4,
3,
2,
2,
3,
3,
2,
2,
3,
3,
4,
4,
5,
4,
2,
3,
3,
3,
3,
2,
2,
4,
2,
2,
4,
4,
3,
3,
2,
3,
4,
2,
3,
3,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
5,
4,
2,
2,
2,
2,
3,
4,
5,
3,
4,
3,
2,
5,
3,
3,
3,
3,
5,
3,
2,
4,
2,
4,
2,
2,
3,
2,
4,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
3,
3,
2,
2,
5,
5,
3,
5,
2,
5,
3,
2,
3,
5,
5,
5,
5,
5,
3,
3,
4,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
5,
5,
2,
6,
2,
5,
6,
7,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
4,
2,
4,
5,
4,
4,
2,
5,
2,
2,
4,
3,
2,
2,
2,
2,
3,
3,
5,
2,
5,
5,
3,
2,
3,
2,
3,
3,
2,
5,
3,
2,
2,
4,
4,
4,
4,
2,
4,
2,
4,
4,
2,
4,
4,
4,
2,
4,
2,
4,
2,
3,
5,
3,
3,
2,
4,
5,
4,
4,
1,
5,
4,
3,
2,
3,
4,
2,
2,
4,
4,
4,
1,
3,
2,
2,
2,
2,
2,
4,
4,
3,
2,
3,
4,
2,
3,
4,
2,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
5,
3,
2,
5,
1,
4,
4,
4,
3,
3,
3,
1,
2,
1,
1,
3,
2,
4,
2,
2,
2,
2,
2,
3,
2,
4,
2,
1,
3,
2,
3,
2,
2,
4,
3,
3,
6,
5,
3,
4,
3,
3,
3,
5,
2,
3,
2,
4,
3,
3,
6,
2,
2,
6,
6,
3,
6,
5,
3,
3,
4,
4,
5,
4,
4,
2,
2,
4,
3,
3,
2,
5,
2,
4,
2,
2,
3,
3,
3,
4,
7,
3,
4,
4,
5,
2,
2,
1,
4,
4,
3,
1,
4,
3,
3,
3,
4,
4,
3,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
3,
3,
3,
1,
3,
2,
4,
5,
2,
3,
4,
4,
2,
4,
3,
4,
7,
3,
3,
3,
5,
4,
2,
3,
4,
4,
4,
2,
3,
3,
4,
3,
3,
3,
1,
2,
5,
3,
3,
7,
2,
4,
5,
4,
3,
3,
2,
2,
3,
2,
4,
4,
4,
2,
3,
4,
3,
3,
4,
4,
6,
4,
2,
3,
2,
3,
3,
3,
2,
2,
3,
2,
2,
2,
3,
3,
6,
2,
5,
4,
4,
2,
2,
4,
2,
4,
4,
2,
4,
4,
2,
4,
2,
2,
5,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
3,
6,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
3,
3,
2,
2,
2,
5,
3,
3,
3,
3,
2,
3,
5,
2,
1,
2,
2,
5,
3,
3,
3,
2,
4,
3,
2,
2,
3,
7,
4,
2,
4,
4,
4,
4,
2,
5,
3,
5,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
6,
2,
2,
5,
2,
3,
2,
4,
4,
4,
4,
3,
3,
4,
4,
3,
3,
3,
4,
3,
3,
4,
3,
4,
3,
3,
2,
4,
3,
1,
2,
3,
2,
5,
3,
2,
3,
4,
4,
3,
2,
2,
3,
5,
3,
4,
4,
2,
2,
2,
4,
3,
3,
2,
3,
2,
3,
3,
3,
4,
4,
4,
2,
4,
2,
2,
5,
6,
3,
4,
3,
6,
3,
3,
4,
4,
2,
4,
4,
3,
6,
4,
2,
5,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
4,
1,
3,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
3,
3,
2,
2,
2,
3,
3,
3,
4,
5,
2,
3,
2,
5,
2,
4,
5,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
2,
4,
2,
3,
4,
2,
2,
4,
2,
4,
2,
4,
2,
4,
4,
4,
4,
2,
3,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
5,
4,
2,
2,
4,
2,
4,
4,
3,
4,
4,
4,
4,
2,
1,
3,
3,
2,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
4,
2,
4,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
4,
3,
3,
3,
2,
4,
4,
3,
3,
3,
3,
6,
3,
3,
4,
4,
4,
4,
2,
2,
4,
2,
2,
5,
3,
4,
4,
5,
4,
5,
5,
5,
3,
4,
2,
5,
4,
3,
3,
4,
6,
4,
2,
2,
4,
2,
3,
3,
3,
3,
4,
3,
3,
4,
4,
5,
4,
4,
4,
2,
2,
2,
1,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
3,
2,
2,
2,
2,
3,
3,
3,
3,
2,
4,
2,
3,
2,
2,
2,
4,
2,
4,
4,
4,
4,
8,
4,
3,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
5,
5,
5,
2,
2,
4,
2,
2,
3,
2,
2,
2,
7,
4,
7,
6,
3,
5,
4,
5,
3,
4,
5,
2,
4,
4,
2,
5,
2,
3,
4,
2,
3,
4,
4,
5,
2,
3,
2,
2,
4,
4,
2,
2,
2,
3,
3,
2,
3,
2,
4,
4,
3,
4,
3,
3,
2,
4,
2,
2,
4,
4,
4,
2,
4,
2,
4,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
1,
2,
2,
2,
5,
2,
7,
7,
3,
3,
3,
3,
3,
4,
4,
5,
5,
4,
4,
5,
5,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
5,
5,
3,
2,
4,
2,
4,
4,
2,
4,
1,
2,
2,
2,
4,
3,
7,
5,
3,
2,
2,
2,
4,
4,
4,
5,
4,
3,
2,
5,
3,
1,
2,
2,
3,
4,
3,
2,
2,
2,
3,
3,
3,
3,
2,
3,
2,
2,
4,
2,
2,
4,
2,
4,
2,
4,
2,
2,
4,
2,
2,
2,
6,
3,
3,
2,
5,
5,
5,
2,
4,
1,
2,
5,
2,
3,
2,
4,
2,
3,
3,
2,
3,
3,
3,
4,
4,
2,
6,
3,
2,
3,
2,
4,
4,
2,
2,
2,
3,
4,
4,
4,
3,
2,
5,
2,
4,
2,
4,
2,
3,
2,
2,
5,
3,
3,
4,
4,
2,
2,
2,
3,
2,
4,
5,
4,
4,
2,
2,
3,
3,
2,
2,
2,
2,
3,
2,
4,
2,
3,
2,
2,
2,
2,
4,
3,
2,
2,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
6,
3,
6,
2,
4,
5,
3,
4,
4,
3,
5,
4,
3,
3,
3,
3,
5,
2,
2,
4,
3,
2,
2,
2,
4,
3,
4,
3,
3,
2,
2,
2,
2,
4,
3,
4,
3,
3,
3,
4,
3,
6,
4,
2,
2,
2,
3,
2,
3,
3,
4,
4,
4,
2,
3,
2,
2,
2,
2,
4,
4,
2,
5,
4,
3,
3,
2,
2,
4,
5,
3,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
5,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
3,
4,
4,
3,
3,
2,
1,
2,
2,
4,
2,
4,
6,
3,
3,
4,
2,
3,
4,
4,
2,
4,
2,
3,
4,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
3,
5,
5,
5,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
4,
3,
2,
4,
3,
4,
4,
2,
2,
3,
4,
4,
5,
4,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
3,
3,
3,
3,
4,
2,
3,
4,
2,
3,
2,
2,
3,
2,
2,
4,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
5,
3,
3,
3,
4,
3,
2,
2,
1,
3,
3,
3,
3,
2,
2,
5,
3,
2,
4,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
3,
3,
4,
3,
2,
4,
2,
2,
3,
3,
4,
2,
3,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
2,
3,
2,
2,
3,
3,
4,
2,
3,
3,
2,
2,
4,
2,
2,
3,
3,
4,
3,
2,
2,
6,
3,
3,
2,
6,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
4,
3,
2,
2,
2,
2,
2,
3,
3,
7,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
3,
4,
4,
4,
2,
2,
4,
2,
4,
4,
4,
2,
4,
3,
4,
3,
4,
4,
4,
4,
2,
4,
4,
6,
4,
3,
3,
3,
4,
4,
4,
5,
4,
4,
2,
3,
3,
3,
2,
2,
3,
3,
3,
3,
4,
5,
3,
6,
2,
2,
5,
3,
3,
2,
3,
4,
2,
2,
8,
2,
5,
5,
4,
3,
3,
4,
4,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
1,
3,
2,
1,
2,
2,
1,
2,
2,
3,
3,
3,
3,
3,
2,
3,
4,
3,
3,
3,
6,
3,
3,
4,
4,
2,
4,
2,
3,
4,
4,
3,
4,
4,
2,
3,
2,
2,
2,
3,
4,
4,
4,
4,
5,
2,
3,
4,
4,
4,
2,
3,
3,
2,
2,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
6,
6,
4,
4,
4,
2,
2,
2,
3,
6,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
5,
3,
3,
5,
5,
6,
2,
4,
2,
2,
3,
4,
2,
2,
2,
4,
3,
3,
2,
4,
2,
2,
2,
3,
3,
2,
2,
3,
4,
3,
4,
4,
4,
4,
2,
2,
2,
5,
4,
4,
3,
2,
2,
5,
4,
4,
4,
2,
2,
4,
3,
2,
4,
3,
2,
3,
3,
2,
3,
2,
2,
2,
2,
1,
3,
2,
2,
2,
3,
7,
2,
2,
4,
4,
6,
2,
3,
4,
5,
5,
2,
3,
3,
2,
4,
4,
4,
4,
2,
2,
3,
4,
3,
2,
2,
3,
3,
3,
2,
5,
4,
4,
4,
4,
4,
4,
3,
5,
5,
5,
2,
4,
2,
2,
4,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
3,
3,
3,
2,
3,
4,
4,
4,
1,
4,
3,
3,
2,
4,
4,
4,
2,
4,
4,
3,
2,
2,
2,
1,
2,
4,
4,
3,
6,
2,
2,
2,
2,
3,
3,
2,
3,
4,
4,
5,
5,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
4,
3,
2,
3,
4,
4,
2,
3,
2,
3,
2,
2,
4,
4,
3,
2,
4,
4,
2,
3,
4,
3,
3,
4,
4,
4,
3,
3,
2,
4,
3,
4,
4,
3,
4,
3,
2,
5,
2,
2,
2,
4,
4,
2,
5,
3,
3,
5,
3,
3,
4,
3,
2,
2,
2,
4,
3,
3,
4,
3,
2,
2,
4,
3,
5,
4,
6,
3,
5,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
6,
4,
4,
4,
4,
4,
2,
2,
3,
4,
2,
3,
6,
4,
6,
4,
2,
2,
2,
3,
4,
7,
3,
4,
3,
3,
3,
3,
4,
4,
2,
4,
3,
2,
4,
5,
5,
4,
4,
2,
2,
5,
3,
3,
7,
3,
3,
4,
4,
3,
4,
4,
4,
4,
4,
3,
4,
3,
3,
2,
3,
2,
1,
3,
3,
3,
1,
3,
3,
1,
2,
2,
3,
2,
2,
4,
5,
2,
3,
4,
2,
3,
3,
2,
2,
2,
2,
3,
4,
3,
3,
2,
3,
2,
3,
3,
2,
4,
2,
4,
4,
2,
4,
4,
4,
3,
6,
3,
2,
6,
5,
2,
3,
2,
2,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
4,
2,
4,
3,
3,
3,
5,
4,
4,
3,
2,
4,
3,
3,
2,
2,
2,
2,
3,
4,
3,
2,
4,
3,
2,
2,
3,
4,
2,
3,
2,
3,
2,
2,
3,
3,
3,
2,
3,
4,
2,
3,
1,
3,
4,
6,
2,
3,
3,
2,
2,
2,
4,
2,
2,
2,
2,
1,
2,
5,
3,
4,
2,
4,
4,
3,
4,
3,
4,
3,
6,
5,
2,
3,
2,
2,
2,
3,
3,
2,
2,
3,
2,
3,
2,
6,
4,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
6,
3,
2,
3,
2,
4,
2,
2,
4,
4,
2,
3,
3,
3,
3,
2,
2,
2,
3,
2,
3,
3,
3,
1,
2,
2,
4,
4,
4,
3,
4,
6,
4,
4,
4,
2,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
4,
2,
4,
4,
4,
2,
3,
2,
4,
4,
4,
4,
4,
5,
4,
3,
4,
2,
4,
4,
2,
2,
4,
4,
3,
4,
2,
3,
3,
5,
2,
2,
3,
3,
2,
3,
2,
5,
2,
4,
4,
4,
3,
6,
3,
3,
4,
3,
3,
3,
2,
1,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
5,
5,
3,
4,
4,
5,
4,
3,
2,
2,
4,
2,
3,
3,
3,
3,
4,
3,
2,
3,
3,
4,
4,
1,
5,
5,
5,
2,
4,
2,
2,
3,
4,
2,
3,
3,
4,
2,
3,
2,
3,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
3,
5,
5,
5,
3,
3,
2,
3,
5,
5,
4,
3,
2,
8,
3,
2,
4,
3,
3,
2,
4,
2,
4,
2,
3,
3,
3,
3,
4,
4,
4,
2,
3,
3,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
1,
2,
3,
2,
3,
5,
2,
6,
2,
4,
4,
2,
4,
2,
2,
1,
2,
2,
4,
4,
4,
5,
4,
2,
2,
2,
2,
4,
4,
5,
2,
2,
2,
2,
1,
1,
3,
2,
3,
3,
5,
1,
3,
4,
3,
3,
3,
2,
3,
4,
3,
2,
4,
4,
4,
4,
3,
3,
3,
2,
4,
4,
3,
3,
2,
4,
3,
3,
5,
4,
6,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
2,
2,
2,
4,
3,
5,
5,
5,
2,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
5,
4,
6,
3,
4,
4,
2,
3,
4,
2,
2,
2,
3,
3,
2,
3,
2,
3,
3,
2,
4,
2,
2,
2,
3,
2,
2,
4,
3,
2,
2,
3,
4,
3,
3,
4,
5,
4,
4,
3,
2,
2,
2,
2,
3,
2,
3,
2,
6,
4,
4,
4,
4,
2,
2,
2,
2,
6,
4,
4,
5,
2,
2,
2,
4,
2,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
4,
7,
3,
3,
6,
6,
2,
3,
3,
2,
2,
2,
2,
5,
8,
2,
2,
4,
6,
5,
3,
2,
3,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
6,
5,
4,
3,
4,
4,
2,
6,
2,
3,
4,
2,
2,
3,
3,
1,
2,
3,
3,
1,
3,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
3,
4,
3,
3,
3,
3,
6,
4,
4,
3,
3,
3,
2,
3,
3,
2,
3,
2,
2,
2,
4,
2,
2,
2,
6,
2,
3,
3,
4,
4,
4,
4,
3,
6,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
2,
3,
2,
2,
4,
4,
3,
2,
4,
4,
3,
3,
2,
4,
4,
3,
3,
4,
2,
3,
4,
3,
2,
4,
4,
4,
4,
4,
4,
2,
2,
3,
5,
3,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
3,
4,
2,
3,
3,
2,
2,
6,
2,
2,
3,
3,
5,
5,
5,
5,
4,
5,
4,
4,
4,
3,
4,
2,
3,
2,
2,
2,
2,
4,
3,
5,
4,
4,
2,
2,
4,
4,
4,
4,
2,
3,
2,
2,
4,
5,
2,
3,
2,
4,
3,
3,
3,
5,
3,
3,
5,
3,
4,
3,
4,
3,
3,
3,
2,
3,
4,
4,
3,
4,
2,
2,
3,
2,
3,
2,
4,
3,
6,
2,
5,
4,
4,
3,
2,
2,
3,
3,
2,
2,
5,
1,
3,
1,
2,
3,
3,
3,
4,
1,
4,
5,
4,
4,
2,
2,
3,
3,
4,
4,
3,
4,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
2,
3,
2,
4,
2,
3,
3,
3,
2,
3,
3,
3,
4,
2,
5,
4,
3,
2,
1,
3,
3,
4,
2,
4,
2,
2,
2,
3,
2,
3,
3,
4,
2,
4,
2,
2,
2,
3,
3,
5,
5,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
5,
4,
6,
2,
6,
4,
5,
2,
1,
3,
2,
3,
1,
6,
4,
3,
4,
2,
1,
2,
5,
2,
2,
3,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
6,
3,
3,
2,
2,
2,
3,
2,
3,
2,
3,
3,
3,
5,
5,
5,
5,
5,
3,
5,
3,
3,
2,
4,
4,
5,
3,
4,
4,
4,
4,
3,
6,
3,
5,
2,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
2,
4,
2,
4,
3,
4,
2,
4,
3,
3,
4,
2,
5,
3,
4,
3,
3,
2,
4,
4,
3,
4,
4,
6,
3,
3,
2,
3,
2,
3,
3,
3,
3,
2,
3,
2,
3,
4,
3,
4,
4,
5,
2,
4,
3,
4,
4,
4,
3,
4,
7,
4,
3,
4,
2,
4,
4,
2,
6,
5,
4,
3,
2,
3,
5,
4,
4,
7,
4,
4,
4,
3,
4,
4,
4,
4,
3,
2,
2,
2,
2,
1,
2,
3,
4,
2,
2,
2,
3,
3,
2,
4,
4,
2,
2,
3,
3,
4,
9,
5,
5,
8,
4,
4,
5,
4,
2,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
4,
4,
3,
4,
4,
4,
2,
6,
2,
4,
3,
3,
3,
4,
4,
2,
4,
4,
4,
4,
2,
2,
2,
2,
5,
3,
3,
3,
5,
3,
5,
5,
4,
5,
4,
5,
4,
4,
2,
2,
4,
2,
2,
3,
3,
3,
2,
4,
3,
2,
2,
3,
2,
3,
4,
4,
4,
2,
2,
4,
2,
2,
3,
2,
4,
3,
2,
2,
4,
4,
2,
4,
4,
3,
6,
2,
2,
6,
3,
3,
3,
3,
2,
4,
4,
4,
4,
6,
3,
1,
2,
2,
2,
5,
2,
4,
2,
3,
3,
2,
2,
4,
4,
4,
4,
4,
7,
4,
3,
4,
4,
3,
6,
3,
3,
2,
5,
4,
3,
3,
5,
3,
5,
5,
5,
2,
4,
5,
4,
4,
3,
6,
2,
7,
5,
3,
4,
2,
2,
4,
4,
2,
3,
4,
4,
2,
4,
4,
3,
2,
2,
4,
2,
4,
2,
4,
3,
4,
4,
3,
2,
2,
2,
2,
2,
3,
8,
3,
3,
1,
1,
1,
3,
5,
4,
4,
2,
3,
3,
2,
6,
5,
4,
4,
4,
3,
2,
2,
2,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
3,
5,
6,
6,
6,
3,
4,
4,
4,
4,
4,
3,
3,
3,
4,
2,
2,
3,
2,
3,
5,
6,
3,
4,
3,
2,
4,
1,
3,
4,
4,
4,
2,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
4,
2,
2,
3,
3,
2,
3,
4,
2,
2,
3,
3,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
4,
4,
1,
2,
4,
4,
4,
3,
3,
3,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
2,
3,
5,
4,
7,
4,
3,
4,
2,
2,
4,
2,
2,
2,
2,
3,
2,
4,
4,
4,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
5,
3,
3,
2,
3,
3,
4,
3,
2,
3,
4,
2,
2,
2,
2,
2,
4,
3,
2,
1,
3,
2,
2,
2,
4,
4,
3,
3,
2,
3,
2,
3,
2,
3,
2,
3,
3,
2,
2,
3,
2,
3,
4,
3,
2,
3,
2,
2,
3,
1,
2,
2,
2,
2,
3,
4,
4,
4,
6,
3,
3,
3,
4,
4,
4,
4,
5,
4,
4,
6,
4,
4,
3,
3,
6,
3,
3,
3,
3,
3,
5,
3,
3,
2,
2,
3,
3,
2,
2,
2,
3,
4,
4,
4,
5,
3,
7,
5,
3,
4,
2,
2,
2,
3,
2,
2,
2,
3,
2,
3,
3,
2,
5,
2,
2,
2,
2,
4,
3,
3,
3,
2,
4,
4,
2,
2,
3,
2,
2,
4,
6,
2,
2,
2,
4,
3,
3,
2,
2,
2,
4,
4,
2,
4,
4,
4,
2,
7,
2,
6,
3,
2,
1,
2,
3,
2,
4,
5,
3,
2,
2,
2,
3,
5,
4,
2,
2,
2,
2,
2,
5,
2,
4,
3,
4,
4,
3,
2,
4,
7,
4,
3,
3,
2,
2,
2,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
5,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
5,
2,
3,
3,
2,
2,
2,
2,
4,
2,
3,
3,
6,
7,
2,
2,
3,
4,
8,
7,
2,
2,
3,
3,
4,
1,
2,
3,
3,
4,
3,
3,
3,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
3,
3,
4,
4,
3,
4,
2,
2,
2,
2,
3,
2,
3,
3,
2,
2,
3,
2,
2,
1,
2,
2,
2,
2,
5,
3,
3,
3,
2,
3,
4,
2,
4,
3,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
2,
4,
3,
2,
2,
4,
4,
4,
2,
4,
2,
1,
2,
2,
3,
4,
2,
3,
3,
3,
4,
4,
4,
3,
5,
4,
2,
4,
2,
4,
2,
2,
2,
3,
2,
4,
3,
3,
3,
3,
4,
3,
2,
2,
3,
2,
2,
2,
2,
4,
3,
2,
3,
3,
3,
7,
4,
2,
4,
6,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
4,
3,
3,
5,
6,
5,
6,
5,
4,
2,
2,
6,
2,
2,
2,
3,
3,
2,
4,
2,
2,
6,
7,
2,
2,
4,
5,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
6,
2,
2,
2,
2,
4,
4,
3,
6,
6,
4,
4,
4,
4,
4,
2,
2,
4,
3,
2,
4,
5,
3,
4,
4,
5,
3,
2,
3,
4,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
4,
1,
5,
5,
5,
4,
3,
3,
3,
3,
6,
3,
4,
2,
2,
4,
4,
4,
4,
7,
2,
7,
3,
3,
4,
3,
3,
4,
5,
3,
3,
6,
5,
3,
3,
5,
2,
2,
2,
2,
4,
4,
3,
2,
4,
2,
4,
3,
4,
2,
2,
2,
2,
1,
2,
2,
1,
3,
2,
4,
4,
2,
2,
5,
2,
5,
2,
3,
3,
3,
4,
2,
2,
5,
4,
2,
3,
6,
2,
2,
2,
3,
2,
1,
2,
2,
3,
3,
2,
2,
3,
4,
2,
3,
4,
2,
3,
3,
3,
3,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
5,
6,
4,
5,
2,
3,
5,
3,
3,
2,
5,
2,
2,
2,
2,
2,
3,
4,
3,
4,
2,
7,
3,
4,
4,
4,
4,
6,
4,
3,
4,
3,
2,
4,
4,
4,
2,
6,
4,
3,
3,
4,
6,
2,
6,
4,
3,
3,
4,
5,
5,
3,
3,
2,
7,
2,
3,
3,
4,
4,
3,
4,
5,
3,
4,
3,
3,
3,
3,
3,
3,
2,
5,
4,
5,
2,
2,
2,
5,
2,
7,
2,
3,
3,
3,
3,
4,
4,
3,
3,
2,
1,
3,
3,
3,
3,
5,
3,
5,
2,
2,
5,
3,
4,
4,
2,
2,
3,
3,
5,
6,
3,
3,
3,
3,
6,
4,
5,
4,
2,
4,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
2,
3,
1,
3,
3,
3,
4,
2,
7,
4,
4,
3,
4,
3,
2,
2,
2,
3,
3,
2,
4,
6,
3,
3,
5,
4,
5,
2,
2,
4,
4,
3,
2,
2,
2,
3,
2,
2,
2,
4,
5,
6,
4,
5,
4,
5,
3,
6,
3,
3,
3,
3,
3,
2,
4,
4,
2,
2,
4,
3,
4,
4,
4,
3,
4,
3,
2,
3,
4,
4,
4,
4,
3,
2,
2,
2,
2,
4,
4,
3,
3,
3,
9,
4,
2,
2,
2,
3,
3,
6,
2,
4,
3,
3,
3,
2,
6,
2,
2,
3,
3,
3,
4,
3,
3,
3,
5,
3,
3,
3,
5,
4,
5,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
2,
3,
4,
5,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
1,
2,
4,
4,
3,
4,
2,
4,
2,
3,
3,
4,
4,
3,
4,
2,
4,
2,
3,
2,
3,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
4,
2,
2,
4,
4,
6,
4,
2,
2,
4,
4,
2,
2,
2,
2,
3,
3,
3,
4,
3,
5,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
6,
4,
7,
3,
4,
4,
3,
4,
4,
5,
4,
3,
2,
2,
4,
4,
4,
4,
4,
2,
2,
5,
4,
2,
3,
3,
4,
2,
2,
2,
2,
2,
5,
4,
2,
3,
2,
4,
4,
2,
3,
2,
3,
3,
4,
3,
4,
5,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
4,
3,
4,
4,
5,
5,
3,
4,
3,
5,
2,
4,
3,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
3,
2,
3,
2,
3,
2,
3,
4,
3,
3,
2,
3,
5,
2,
2,
4,
4,
2,
3,
4,
3,
3,
4,
7,
2,
6,
6,
5,
4,
4,
3,
2,
4,
3,
3,
2,
5,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
2,
3,
5,
2,
2,
8,
2,
4,
4,
4,
4,
4,
2,
4,
6,
2,
3,
2,
2,
3,
3,
3,
4,
1,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
4,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
7,
3,
4,
4,
3,
4,
4,
4,
5,
3,
4,
3,
2,
4,
2,
2,
4,
3,
2,
2,
4,
4,
6,
3,
4,
5,
4,
3,
3,
2,
3,
2,
2,
2,
2,
3,
3,
4,
4,
2,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
5,
3,
1,
1,
4,
2,
3,
3,
3,
2,
4,
4,
4,
4,
3,
4,
4,
2,
4,
2,
2,
4,
4,
4,
2,
2,
4,
2,
3,
3,
5,
7,
5,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
6,
4,
4,
3,
4,
3,
3,
3,
2,
2,
4,
4,
4,
2,
4,
2,
5,
6,
4,
4,
3,
5,
5,
3,
4,
3,
2,
2,
3,
4,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
6,
3,
5,
5,
4,
4,
4,
2,
3,
2,
2,
3,
2,
2,
6,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
5,
2,
3,
6,
2,
3,
4,
5,
2,
2,
3,
3,
2,
3,
4,
4,
2,
2,
4,
4,
4,
4,
3,
3,
4,
3,
2,
2,
2,
6,
4,
4,
4,
4,
3,
2,
3,
4,
3,
2,
3,
3,
3,
3,
4,
3,
2,
2,
3,
2,
2,
2,
3,
5,
4,
4,
6,
2,
4,
3,
3,
2,
2,
2,
4,
2,
4,
2,
3,
4,
4,
5,
3,
4,
1,
2,
5,
5,
5,
4,
2,
2,
4,
2,
5,
8,
2,
2,
4,
2,
5,
6,
4,
4,
4,
3,
4,
3,
4,
3,
2,
3,
3,
3,
2,
2,
2,
4,
4,
2,
2,
4,
4,
4,
4,
3,
2,
2,
2,
4,
2,
2,
3,
3,
2,
2,
4,
4,
2,
2,
3,
2,
6,
5,
3,
8,
4,
3,
2,
4,
3,
3,
2,
4,
4,
4,
2,
2,
2,
5,
4,
3,
2,
2,
3,
2,
2,
3,
3,
3,
5,
3,
3,
3,
2,
3,
2,
4,
3,
3,
4,
4,
2,
2,
3,
3,
3,
3,
2,
2,
3,
4,
3,
3,
2,
4,
3,
1,
2,
4,
2,
2,
4,
4,
3,
6,
3,
2,
3,
6,
3,
4,
5,
2,
4,
5,
5,
5,
4,
2,
4,
2,
2,
3,
4,
3,
5,
3,
3,
2,
2,
2,
2,
2,
3,
4,
3,
2,
4,
3,
2,
3,
4,
4,
4,
4,
4,
5,
4,
4,
3,
5,
2,
3,
3,
2,
4,
4,
2,
2,
2,
2,
5,
5,
3,
2,
3,
4,
2,
2,
4,
4,
2,
5,
7,
3,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
4,
4,
2,
3,
3,
3,
2,
3,
5,
5,
3,
2,
3,
2,
2,
4,
2,
4,
4,
2,
2,
3,
2,
3,
2,
2,
2,
3,
3,
3,
2,
2,
1,
2,
4,
6,
4,
4,
5,
4,
2,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
4,
2,
5,
5,
3,
4,
4,
2,
1,
3,
3,
1,
7,
4,
4,
2,
2,
4,
4,
5,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
1,
3,
3,
3,
2,
2,
4,
2,
3,
4,
2,
3,
2,
4,
1,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
4,
4,
2,
4,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
5,
3,
3,
4,
4,
3,
3,
3,
4,
3,
4,
3,
4,
4,
3,
2,
3,
3,
5,
2,
2,
2,
2,
4,
2,
3,
4,
3,
2,
3,
3,
2,
2,
3,
4,
4,
4,
4,
3,
3,
4,
2,
4,
2,
3,
3,
4,
4,
4,
4,
2,
2,
7,
2,
2,
6,
4,
4,
4,
4,
2,
2,
4,
3,
4,
2,
3,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
2,
3,
4,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
3,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
5,
3,
3,
3,
5,
4,
4,
4,
3,
5,
3,
2,
4,
4,
3,
4,
4,
5,
4,
2,
3,
3,
2,
4,
2,
3,
4,
4,
3,
2,
3,
2,
3,
3,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
3,
3,
3,
4,
4,
3,
3,
5,
2,
2,
1,
1,
2,
2,
5,
4,
4,
4,
3,
2,
3,
2,
2,
2,
2,
4,
2,
4,
4,
4,
2,
3,
4,
2,
4,
2,
2,
2,
3,
4,
5,
5,
2,
2,
2,
3,
2,
2,
3,
2,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
3,
3,
2,
2,
4,
2,
6,
2,
4,
4,
4,
3,
3,
2,
3,
4,
3,
2,
3,
5,
8,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
4,
2,
4,
4,
4,
4,
4,
3,
4,
4,
3,
3,
3,
2,
5,
2,
3,
4,
4,
4,
7,
4,
2,
4,
2,
4,
3,
3,
3,
2,
3,
5,
3,
3,
3,
2,
2,
2,
2,
2,
4,
6,
4,
6,
2,
2,
2,
4,
4,
4,
3,
3,
4,
2,
4,
3,
3,
2,
3,
3,
2,
2,
2,
1,
2,
2,
3,
3,
1,
3,
3,
2,
5,
5,
2,
2,
4,
2,
2,
3,
4,
2,
2,
4,
3,
4,
3,
4,
4,
4,
3,
3,
1,
2,
3,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
2,
3,
4,
4,
5,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
3,
2,
2,
6,
2,
2,
2,
3,
5,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
2,
2,
4,
3,
4,
3,
3,
2,
3,
2,
2,
3,
3,
2,
5,
2,
4,
2,
2,
3,
3,
6,
3,
3,
4,
4,
3,
4,
4,
6,
4,
3,
2,
5,
4,
2,
3,
2,
2,
2,
4,
4,
2,
3,
4,
5,
2,
4,
4,
4,
4,
3,
2,
8,
3,
6,
2,
5,
3,
3,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
4,
2,
1,
1,
2,
4,
4,
2,
8,
4,
3,
3,
4,
4,
4,
3,
3,
4,
4,
2,
3,
2,
4,
3,
7,
3,
4,
3,
3,
4,
4,
6,
2,
4,
4,
4,
4,
3,
2,
4,
4,
4,
4,
2,
2,
3,
3,
3,
2,
4,
4,
4,
4,
3,
4,
4,
5,
7,
3,
4,
4,
2,
3,
2,
2,
4,
3,
3,
3,
4,
3,
4,
3,
3,
3,
3,
3,
2,
2,
4,
3,
4,
3,
2,
4,
4,
4,
4,
3,
3,
3,
2,
5,
2,
3,
2,
2,
3,
4,
3,
4,
2,
4,
3,
2,
3,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
5,
2,
3,
3,
2,
4,
3,
3,
3,
2,
4,
4,
4,
3,
4,
4,
2,
2,
1,
6,
3,
2,
6,
4,
6,
4,
4,
4,
4,
4,
3,
3,
2,
4,
2,
6,
3,
4,
4,
4,
3,
4,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
5,
5,
4,
4,
4,
4,
4,
1,
4,
3,
4,
2,
2,
4,
2,
3,
3,
4,
2,
4,
4,
3,
4,
2,
2,
1,
3,
2,
2,
1,
5,
4,
3,
4,
3,
4,
2,
2,
2,
1,
3,
3,
2,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
4,
2,
2,
4,
4,
3,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
4,
6,
5,
4,
2,
2,
2,
2,
3,
6,
3,
2,
2,
3,
3,
3,
2,
8,
4,
4,
4,
2,
4,
2,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
4,
4,
5,
2,
3,
4,
4,
2,
3,
4,
3,
3,
3,
3,
4,
4,
2,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
1,
4,
4,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
5,
2,
4,
4,
4,
2,
4,
3,
4,
3,
2,
3,
4,
6,
4,
4,
2,
3,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
6,
3,
3,
2,
9,
2,
2,
3,
2,
1,
1,
4,
4,
2,
2,
5,
4,
4,
4,
2,
5,
4,
2,
4,
2,
4,
4,
4,
2,
3,
2,
2,
2,
3,
3,
2,
4,
2,
3,
2,
4,
4,
3,
3,
3,
2,
4,
4,
2,
4,
3,
1,
2,
4,
4,
4,
4,
4,
4,
2,
1,
4,
4,
5,
3,
3,
3,
7,
3,
2,
2,
2,
2,
2,
2,
5,
4,
4,
5,
2,
3,
5,
3,
2,
3,
3,
5,
3,
4,
6,
2,
4,
3,
2,
2,
2,
4,
3,
4,
4,
2,
4,
4,
4,
5,
5,
4,
2,
4,
3,
3,
2,
2,
4,
2,
2,
3,
4,
5,
3,
2,
2,
5,
2,
3,
3,
3,
4,
2,
2,
2,
2,
3,
4,
4,
4,
4,
3,
3,
10,
4,
9,
2,
3,
4,
5,
4,
3,
3,
3,
3,
2,
3,
3,
2,
3,
1,
2,
2,
4,
2,
5,
4,
2,
2,
4,
2,
2,
4,
2,
4,
2,
3,
4,
4,
4,
4,
4,
4,
4,
5,
2,
4,
4,
5,
2,
5,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
3,
3,
4,
3,
4,
3,
4,
3,
2,
4,
3,
4,
2,
4,
2,
2,
3,
2,
2,
4,
3,
4,
4,
3,
5,
3,
4,
3,
3,
4,
3,
3,
7,
3,
3,
2,
2,
1,
3,
4,
4,
3,
7,
3,
2,
2,
4,
5,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
2,
3,
1,
3,
4,
2,
1,
4,
2,
4,
4,
2,
2,
4,
3,
2,
2,
2,
2,
4,
4,
4,
2,
3,
5,
4,
4,
3,
2,
2,
5,
5,
5,
3,
3,
3,
7,
7,
3,
3,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
4,
4,
2,
2,
2,
2,
7,
3,
2,
3,
2,
5,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
2,
3,
3,
3,
4,
4,
2,
4,
5,
2,
3,
3,
3,
4,
5,
4,
4,
6,
3,
3,
2,
2,
2,
4,
4,
6,
3,
2,
1,
3,
4,
4,
4,
4,
5,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
7,
6,
3,
4,
3,
2,
3,
3,
2,
4,
3,
3,
4,
4,
1,
2,
3,
3,
3,
4,
4,
4,
3,
3,
5,
4,
2,
4,
12,
4,
6,
4,
2,
3,
4,
2,
5,
5,
3,
3,
2,
3,
3,
2,
2,
4,
4,
3,
4,
2,
4,
1,
2,
3,
5,
3,
5,
7,
2,
2,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
2,
3,
4,
2,
4,
2,
3,
3,
3,
2,
4,
2,
2,
4,
2,
4,
2,
2,
2,
3,
2,
2,
4,
5,
4,
3,
3,
3,
4,
2,
4,
3,
2,
2,
3,
3,
2,
2,
1,
2,
4,
3,
4,
4,
4,
2,
4,
2,
3,
3,
4,
3,
4,
3,
4,
3,
4,
5,
5,
2,
4,
3,
4,
4,
4,
2,
2,
2,
2,
2,
5,
4,
4,
3,
3,
2,
3,
2,
2,
5,
3,
3,
2,
3,
2,
4,
4,
3,
3,
3,
2,
2,
2,
2,
3,
3,
1,
2,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
5,
4,
3,
3,
2,
4,
3,
3,
3,
3,
3,
6,
4,
1,
4,
4,
2,
4,
4,
2,
3,
2,
4,
2,
3,
5,
4,
3,
2,
3,
2,
4,
3,
2,
4,
4,
5,
4,
4,
4,
4,
3,
4,
3,
5,
3,
5,
3,
3,
5,
2,
2,
1,
1,
3,
4,
2,
5,
3,
2,
3,
2,
3,
1,
4,
4,
4,
2,
2,
2,
5,
4,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
5,
6,
4,
5,
5,
3,
6,
4,
4,
5,
3,
4,
3,
5,
4,
3,
4,
3,
5,
3,
3,
4,
4,
3,
3,
3,
5,
8,
8,
4,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
2,
4,
3,
2,
2,
3,
3,
3,
4,
4,
2,
8,
3,
2,
5,
5,
5,
2,
3,
3,
5,
2,
3,
3,
3,
3,
3,
4,
4,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
4,
2,
2,
4,
2,
2,
4,
4,
2,
3,
2,
4,
4,
3,
3,
4,
2,
2,
3,
3,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
6,
3,
2,
2,
5,
5,
2,
3,
4,
4,
2,
2,
2,
2,
4,
1,
3,
2,
2,
3,
3,
3,
5,
2,
3,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
4,
7,
2,
4,
5,
3,
3,
2,
2,
3,
2,
2,
2,
2,
4,
3,
4,
5,
4,
4,
2,
3,
3,
3,
2,
4,
3,
4,
4,
3,
3,
4,
3,
3,
3,
4,
4,
2,
3,
3,
4,
4,
3,
2,
6,
3,
3,
4,
6,
4,
2,
4,
3,
4,
4,
3,
3,
3,
3,
3,
2,
4,
4,
3,
2,
4,
4,
2,
4,
2,
2,
3,
4,
4,
4,
4,
3,
3,
2,
2,
4,
2,
5,
4,
6,
2,
5,
5,
5,
3,
3,
2,
2,
3,
3,
3,
4,
3,
3,
2,
3,
2,
2,
3,
2,
4,
5,
4,
6,
3,
3,
3,
4,
2,
2,
3,
2,
2,
2,
4,
2,
2,
3,
2,
3,
4,
3,
6,
2,
4,
3,
3,
5,
4,
4,
3,
4,
2,
3,
6,
4,
2,
4,
4,
2,
4,
4,
4,
2,
2,
2,
4,
2,
4,
4,
3,
3,
4,
6,
2,
2,
4,
4,
6,
4,
4,
4,
6,
6,
6,
4,
2,
3,
2,
5,
3,
5,
2,
3,
2,
2,
2,
3,
3,
4,
3,
2,
2,
4,
3,
3,
5,
4,
2,
3,
4,
3,
2,
2,
2,
2,
2,
2,
1,
3,
3,
5,
2,
4,
3,
4,
2,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
3,
2,
3,
3,
3,
3,
4,
2,
4,
4,
5,
3,
4,
4,
4,
3,
3,
2,
4,
4,
4,
6,
2,
4,
4,
3,
3,
6,
4,
7,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
2,
5,
3,
4,
2,
3,
1,
1,
2,
3,
2,
3,
3,
4,
3,
4,
4,
4,
4,
9,
2,
4,
5,
4,
3,
4,
4,
3,
4,
3,
4,
4,
4,
2,
3,
2,
3,
4,
1,
3,
2,
4,
2,
2,
4,
5,
4,
4,
4,
3,
3,
3,
3,
4,
4,
5,
4,
3,
2,
2,
4,
4,
3,
2,
3,
2,
1,
3,
2,
4,
2,
3,
2,
3,
3,
2,
1,
2,
4,
3,
3,
3,
3,
4,
6,
2,
3,
2,
2,
2,
3,
3,
3,
6,
3,
3,
4,
4,
3,
4,
2,
2,
3,
2,
3,
5,
3,
2,
4,
2,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
4,
3,
4,
3,
2,
2,
4,
4,
2,
4,
3,
3,
2,
3,
2,
2,
2,
2,
4,
2,
4,
3,
4,
4,
4,
4,
2,
3,
4,
2,
2,
2,
2,
2,
2,
1,
3,
2,
2,
2,
2,
2,
3,
4,
2,
3,
4,
2,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
1,
3,
1,
1,
2,
2,
4,
3,
4,
4,
4,
6,
4,
4,
6,
2,
2,
2,
3,
2,
3,
2,
2,
8,
4,
2,
3,
2,
5,
3,
2,
2,
3,
3,
3,
3,
3,
4,
3,
2,
3,
3,
3,
2,
2,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
3,
3,
2,
3,
4,
3,
2,
2,
2,
2,
1,
3,
2,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
3,
4,
3,
2,
2,
4,
4,
2,
4,
4,
3,
2,
2,
3,
2,
5,
2,
4,
4,
4,
2,
4,
6,
4,
4,
4,
3,
3,
2,
2,
4,
2,
3,
3,
3,
3,
3,
2,
2,
4,
4,
2,
2,
2,
4,
4,
5,
4,
3,
3,
3,
5,
2,
2,
4,
4,
3,
4,
2,
3,
2,
3,
2,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
7,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
3,
3,
2,
3,
2,
3,
4,
2,
4,
4,
4,
2,
3,
2,
3,
3,
5,
4,
3,
3,
3,
3,
4,
2,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
1,
3,
2,
2,
2,
3,
4,
3,
2,
2,
1,
4,
2,
2,
2,
2,
4,
4,
3,
4,
3,
2,
2,
5,
4,
2,
3,
4,
4,
3,
3,
3,
4,
3,
2,
2,
4,
2,
4,
3,
4,
7,
2,
3,
3,
2,
5,
3,
2,
3,
4,
3,
3,
2,
2,
2,
3,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
4,
2,
4,
3,
6,
5,
2,
7,
6,
3,
3,
4,
4,
2,
4,
4,
5,
3,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
3,
4,
4,
4,
4,
6,
4,
4,
4,
2,
2,
2,
3,
2,
2,
2,
2,
3,
4,
4,
3,
4,
2,
2,
3,
3,
3,
2,
4,
2,
2,
3,
6,
3,
2,
2,
6,
2,
3,
5,
5,
4,
5,
5,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
2,
3,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
5,
3,
4,
5,
8,
3,
3,
7,
4,
5,
2,
2,
4,
2,
3,
4,
4,
5,
2,
7,
3,
3,
1,
3,
4,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
2,
4,
2,
3,
3,
2,
2,
4,
2,
4,
4,
4,
2,
4,
4,
3,
6,
3,
2,
1,
4,
2,
3,
4,
3,
2,
4,
4,
3,
2,
4,
4,
2,
2,
5,
2,
2,
4,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
4,
4,
4,
4,
6,
2,
2,
4,
3,
3,
3,
5,
6,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
5,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
3,
2,
3,
2,
4,
3,
4,
2,
2,
2,
3,
3,
3,
3,
4,
4,
4,
7,
4,
7,
4,
4,
4,
3,
4,
2,
2,
3,
3,
3,
6,
2,
3,
3,
2,
3,
3,
4,
3,
4,
3,
2,
3,
2,
2,
6,
3,
4,
4,
3,
3,
5,
2,
2,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
3,
4,
2,
3,
3,
2,
3,
3,
3,
2,
3,
5,
3,
5,
4,
2,
4,
3,
3,
4,
2,
4,
2,
4,
3,
3,
3,
2,
4,
2,
3,
3,
2,
3,
2,
3,
2,
4,
3,
3,
3,
2,
3,
4,
3,
3,
3,
4,
2,
3,
5,
3,
2,
2,
4,
3,
3,
4,
3,
4,
3,
3,
3,
3,
3,
1,
3,
2,
4,
5,
2,
4,
2,
2,
2,
4,
4,
4,
3,
4,
2,
2,
2,
6,
2,
2,
4,
4,
4,
2,
4,
5,
2,
3,
3,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
2,
5,
2,
2,
2,
2,
4,
2,
3,
3,
4,
3,
2,
3,
3,
5,
2,
2,
3,
2,
4,
8,
8,
4,
4,
3,
3,
6,
3,
2,
2,
4,
4,
3,
3,
3,
3,
3,
1,
2,
4,
2,
3,
2,
4,
3,
2,
3,
3,
4,
2,
4,
3,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
4,
3,
2,
2,
5,
2,
2,
4,
2,
3,
3,
6,
4,
3,
3,
2,
4,
4,
3,
2,
4,
2,
1,
3,
3,
3,
4,
2,
3,
4,
4,
3,
2,
5,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
3,
2,
2,
3,
4,
4,
2,
4,
2,
4,
3,
5,
4,
4,
2,
4,
2,
2,
2,
2,
2,
5,
4,
2,
2,
3,
3,
4,
3,
4,
2,
4,
4,
3,
3,
3,
4,
4,
3,
4,
4,
3,
4,
2,
3,
2,
4,
5,
3,
3,
3,
3,
6,
3,
2,
4,
4,
3,
2,
4,
2,
4,
4,
5,
4,
4,
5,
3,
2,
3,
2,
5,
3,
3,
2,
4,
4,
2,
2,
4,
2,
4,
2,
2,
2,
1,
2,
2,
2,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
3,
2,
2,
3,
3,
2,
4,
3,
2,
3,
3,
5,
4,
5,
4,
4,
4,
4,
4,
2,
3,
2,
2,
2,
4,
6,
2,
2,
3,
3,
3,
2,
3,
3,
3,
4,
4,
3,
3,
3,
4,
4,
4,
4,
2,
3,
2,
4,
2,
2,
2,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
3,
4,
4,
4,
4,
3,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
2,
2,
4,
2,
3,
2,
3,
6,
2,
3,
2,
2,
2,
3,
2,
2,
3,
3,
4,
4,
3,
2,
4,
3,
2,
4,
3,
2,
2,
4,
3,
3,
2,
3,
4,
3,
4,
2,
3,
5,
4,
3,
4,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
3,
2,
3,
7,
3,
3,
3,
5,
3,
3,
3,
2,
2,
4,
4,
4,
5,
6,
3,
2,
4,
3,
2,
1,
2,
2,
3,
2,
6,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
4,
2,
4,
5,
3,
2,
3,
4,
4,
3,
6,
3,
4,
3,
2,
2,
3,
4,
4,
5,
4,
4,
4,
4,
4,
3,
6,
3,
3,
7,
3,
2,
2,
4,
4,
2,
4,
4,
4,
2,
2,
2,
3,
2,
2,
2,
1,
2,
3,
2,
2,
1,
2,
1,
3,
3,
2,
5,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
3,
3,
2,
4,
2,
3,
4,
2,
4,
3,
3,
3,
4,
3,
3,
3,
2,
2,
3,
2,
5,
2,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
5,
3,
2,
3,
3,
3,
3,
4,
4,
4,
3,
4,
4,
4,
2,
3,
3,
2,
2,
3,
4,
1,
2,
2,
2,
2,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
4,
5,
4,
3,
3,
6,
2,
3,
2,
6,
3,
4,
4,
4,
2,
5,
3,
3,
5,
6,
6,
5,
2,
4,
3,
4,
4,
4,
2,
2,
4,
5,
5,
5,
5,
2,
3,
3,
4,
4,
4,
2,
3,
1,
2,
3,
2,
2,
2,
2,
1,
2,
2,
2,
2,
3,
3,
3,
2,
4,
4,
2,
4,
4,
4,
4,
2,
4,
3,
3,
4,
2,
6,
5,
3,
4,
2,
4,
3,
3,
4,
1,
1,
3,
3,
4,
3,
4,
5,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
3,
4,
3,
4,
4,
2,
4,
4,
3,
4,
4,
4,
3,
4,
2,
4,
2,
2,
4,
2,
2,
4,
2,
3,
5,
2,
2,
3,
2,
4,
2,
4,
4,
4,
4,
7,
4,
1,
3,
2,
3,
3,
3,
4,
2,
1,
2,
4,
4,
2,
4,
3,
4,
4,
3,
4,
4,
4,
2,
2,
5,
6,
4,
2,
3,
2,
3,
3,
2,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
2,
4,
3,
4,
4,
4,
1,
2,
3,
4,
4,
2,
3,
4,
2,
3,
2,
2,
2,
2,
4,
2,
2,
3,
4,
3,
2,
2,
2,
3,
1,
4,
2,
3,
4,
4,
1,
4,
3,
4,
4,
3,
3,
3,
3,
5,
2,
5,
3,
3,
3,
4,
4,
2,
3,
2,
4,
3,
3,
3,
3,
3,
4,
2,
4,
3,
3,
2,
3,
3,
2,
2,
2,
2,
6,
5,
2,
4,
2,
2,
3,
3,
3,
3,
2,
4,
6,
6,
7,
5,
4,
3,
1,
4,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
2,
2,
3,
4,
4,
2,
3,
2,
3,
3,
4,
2,
4,
2,
4,
2,
4,
4,
5,
4,
4,
5,
4,
2,
4,
4,
4,
5,
5,
3,
3,
5,
4,
2,
2,
2,
4,
2,
3,
2,
3,
4,
2,
3,
3,
2,
2,
1,
6,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
3,
6,
3,
3,
3,
3,
2,
3,
3,
3,
4,
4,
4,
2,
2,
4,
4,
3,
5,
2,
3,
2,
3,
3,
4,
2,
3,
3,
3,
4,
2,
4,
4,
3,
3,
4,
6,
4,
4,
4,
6,
3,
2,
4,
4,
3,
3,
2,
3,
3,
3,
3,
5,
3,
6,
4,
4,
4,
4,
3,
2,
2,
3,
3,
2,
2,
2,
3,
3,
4,
3,
4,
3,
2,
3,
2,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
4,
3,
3,
3,
3,
4,
2,
3,
2,
7,
5,
2,
3,
2,
2,
3,
4,
3,
6,
3,
3,
5,
4,
5,
5,
3,
4,
4,
2,
2,
2,
2,
2,
7,
2,
4,
2,
4,
3,
3,
4,
4,
3,
3,
3,
4,
3,
5,
4,
3,
2,
4,
4,
4,
3,
4,
4,
3,
2,
4,
2,
3,
3,
3,
5,
6,
2,
2,
5,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
4,
2,
2,
3,
2,
5,
5,
4,
6,
4,
2,
4,
4,
3,
4,
4,
3,
3,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
3,
3,
4,
2,
2,
2,
4,
2,
4,
2,
3,
2,
2,
3,
2,
4,
3,
3,
4,
5,
4,
2,
2,
2,
4,
4,
4,
4,
3,
2,
2,
4,
3,
3,
2,
3,
2,
3,
3,
2,
4,
4,
2,
6,
4,
4,
6,
2,
2,
3,
4,
3,
4,
4,
2,
3,
3,
4,
2,
2,
3,
2,
4,
2,
5,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
3,
3,
3,
2,
3,
5,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
3,
1,
1,
4,
4,
4,
4,
3,
3,
4,
2,
2,
2,
5,
3,
4,
4,
3,
2,
3,
2,
2,
4,
1,
1,
4,
4,
4,
4,
3,
4,
2,
3,
3,
4,
5,
2,
5,
4,
4,
2,
3,
3,
3,
2,
2,
4,
2,
7,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
3,
3,
3,
2,
4,
3,
2,
2,
3,
2,
2,
4,
2,
4,
3,
2,
3,
3,
1,
2,
3,
2,
2,
3,
5,
3,
3,
3,
2,
2,
5,
3,
4,
4,
3,
7,
3,
2,
2,
2,
3,
3,
6,
2,
2,
4,
4,
2,
3,
4,
2,
2,
2,
2,
4,
4,
3,
2,
4,
2,
3,
2,
7,
2,
3,
1,
2,
2,
2,
3,
2,
4,
4,
3,
4,
3,
2,
3,
3,
4,
5,
3,
2,
2,
3,
3,
3,
4,
4,
5,
1,
4,
4,
4,
2,
3,
4,
4,
4,
4,
3,
3,
1,
3,
4,
2,
3,
2,
2,
3,
6,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
4,
1,
4,
4,
2,
2,
3,
3,
3,
3,
2,
4,
2,
4,
3,
2,
2,
4,
2,
4,
4,
2,
1,
2,
2,
2,
3,
3,
2,
3,
5,
4,
2,
2,
3,
3,
4,
3,
2,
3,
3,
4,
4,
2,
4,
2,
4,
6,
4,
3,
4,
2,
4,
5,
3,
3,
4,
4,
3,
2,
2,
6,
3,
5,
2,
3,
2,
2,
4,
2,
2,
2,
4,
2,
4,
6,
4,
6,
3,
3,
2,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
3,
3,
2,
1,
1,
1,
2,
1,
2,
3,
2,
2,
2,
3,
2,
3,
3,
3,
4,
2,
3,
2,
4,
4,
2,
4,
2,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
4,
7,
4,
4,
4,
5,
2,
4,
3,
3,
3,
3,
4,
4,
2,
3,
4,
2,
2,
2,
4,
3,
3,
1,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
3,
2,
5,
3,
4,
4,
4,
3,
4,
3,
3,
2,
3,
4,
3,
3,
3,
3,
2,
2,
4,
2,
2,
2,
3,
3,
6,
7,
2,
2,
3,
3,
3,
3,
4,
4,
2,
2,
3,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
4,
4,
2,
7,
3,
3,
4,
2,
2,
7,
7,
4,
5,
3,
2,
3,
4,
4,
4,
2,
2,
2,
2,
4,
3,
3,
4,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
3,
3,
2,
4,
5,
4,
3,
3,
3,
4,
4,
3,
3,
2,
3,
4,
4,
2,
4,
4,
4,
4,
4,
3,
4,
4,
2,
2,
3,
3,
3,
5,
3,
2,
3,
4,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
3,
6,
4,
4,
3,
2,
3,
3,
5,
3,
4,
4,
5,
2,
2,
4,
4,
3,
4,
3,
3,
3,
3,
3,
2,
5,
2,
2,
3,
4,
4,
2,
4,
4,
2,
4,
4,
2,
2,
2,
3,
4,
4,
4,
4,
2,
3,
3,
2,
2,
2,
3,
3,
3,
2,
3,
2,
4,
3,
3,
3,
2,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
2,
3,
3,
3,
3,
2,
3,
4,
3,
3,
3,
4,
4,
4,
1,
4,
4,
2,
6,
5,
2,
4,
2,
2,
3,
2,
2,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
1,
1,
4,
3,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
3,
4,
4,
3,
3,
2,
5,
2,
3,
3,
4,
6,
4,
4,
4,
7,
4,
2,
2,
2,
4,
2,
5,
2,
6,
2,
3,
3,
2,
2,
2,
3,
2,
3,
4,
2,
2,
4,
6,
2,
2,
2,
4,
4,
3,
4,
2,
2,
4,
3,
5,
3,
5,
2,
6,
1,
4,
3,
2,
2,
2,
4,
2,
2,
2,
3,
2,
3,
3,
3,
3,
4,
3,
2,
2,
2,
4,
3,
3,
4,
4,
2,
4,
4,
4,
4,
3,
2,
3,
3,
2,
5,
2,
1,
2,
2,
2,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
4,
5,
2,
4,
8,
8,
6,
2,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
2,
5,
5,
6,
6,
4,
4,
4,
5,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
2,
4,
2,
4,
8,
2,
2,
4,
4,
3,
3,
3,
4,
2,
3,
2,
2,
4,
5,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
6,
1,
4,
2,
2,
3,
3,
3,
2,
4,
2,
1,
3,
4,
2,
2,
3,
1,
4,
4,
1,
4,
4,
4,
2,
3,
3,
4,
3,
2,
2,
1,
3,
5,
2,
2,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
2,
4,
2,
3,
3,
3,
5,
4,
5,
4,
3,
3,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
4,
2,
3,
4,
3,
3,
3,
3,
4,
1,
4,
3,
4,
4,
4,
4,
2,
2,
2,
2,
4,
7,
3,
3,
2,
2,
4,
3,
1,
3,
9,
3,
3,
2,
3,
3,
2,
2,
4,
4,
3,
3,
3,
3,
2,
2,
3,
4,
4,
3,
2,
2,
4,
2,
2,
2,
4,
4,
3,
3,
3,
7,
3,
3,
4,
4,
4,
2,
4,
4,
4,
7,
7,
4,
2,
3,
2,
3,
4,
5,
2,
6,
3,
4,
4,
4,
2,
2,
2,
2,
3,
4,
4,
3,
2,
3,
2,
2,
3,
3,
4,
4,
3,
3,
3,
2,
8,
2,
2,
3,
2,
2,
2,
4,
4,
3,
2,
5,
3,
2,
5,
5,
4,
6,
4,
4,
4,
7,
2,
2,
3,
4,
2,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
5,
4,
2,
3,
4,
3,
3,
2,
3,
5,
3,
3,
2,
2,
2,
4,
3,
2,
4,
4,
5,
2,
2,
2,
4,
3,
3,
3,
4,
2,
4,
4,
3,
5,
5,
3,
4,
3,
2,
5,
4,
3,
5,
3,
5,
5,
7,
5,
2,
7,
2,
4,
2,
3,
2,
4,
4,
3,
6,
2,
2,
2,
3,
3,
3,
2,
4,
3,
2,
2,
2,
2,
3,
4,
3,
3,
3,
2,
4,
2,
2,
2,
3,
4,
3,
4,
4,
4,
4,
2,
2,
2,
4,
2,
3,
3,
4,
3,
3,
3,
6,
3,
2,
4,
4,
3,
3,
3,
2,
2,
2,
3,
2,
3,
3,
3,
4,
2,
3,
2,
3,
2,
2,
4,
4,
4,
3,
4,
4,
2,
4,
3,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
6,
3,
2,
5,
2,
2,
3,
4,
5,
2,
3,
3,
4,
3,
1,
2,
4,
5,
2,
3,
3,
3,
5,
3,
4,
3,
2,
2,
3,
3,
5,
4,
4,
4,
4,
2,
4,
2,
3,
7,
2,
4,
2,
4,
2,
2,
2,
2,
3,
3,
3,
4,
2,
6,
7,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
4,
4,
4,
2,
4,
6,
4,
3,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
3,
3,
4,
6,
6,
2,
3,
2,
2,
3,
3,
2,
4,
2,
4,
4,
4,
3,
2,
4,
3,
2,
5,
2,
3,
3,
4,
3,
4,
4,
2,
2,
2,
3,
3,
2,
4,
4,
3,
2,
4,
4,
4,
2,
3,
3,
3,
3,
2,
4,
2,
4,
4,
3,
2,
5,
5,
2,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
4,
4,
3,
3,
3,
3,
3,
4,
3,
3,
2,
2,
2,
3,
2,
4,
4,
3,
3,
3,
4,
3,
3,
2,
2,
4,
2,
2,
4,
2,
2,
2,
2,
4,
5,
3,
1,
5,
2,
3,
3,
4,
2,
3,
4,
4,
4,
3,
2,
3,
3,
4,
2,
4,
3,
4,
4,
2,
2,
2,
3,
3,
2,
4,
6,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
4,
4,
2,
2,
5,
3,
2,
4,
4,
4,
6,
3,
3,
2,
2,
4,
1,
4,
2,
4,
3,
4,
2,
4,
4,
2,
3,
6,
2,
5,
4,
5,
4,
5,
6,
2,
2,
3,
4,
3,
4,
4,
3,
7,
6,
9,
4,
3,
5,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
4,
2,
2,
2,
2,
2,
5,
3,
2,
3,
4,
2,
2,
2,
2,
4,
2,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
4,
4,
4,
3,
4,
4,
4,
3,
3,
2,
3,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
5,
4,
5,
2,
3,
2,
3,
2,
4,
2,
3,
2,
2,
3,
5,
2,
1,
3,
3,
3,
3,
4,
6,
4,
4,
3,
2,
4,
5,
4,
4,
3,
4,
3,
4,
2,
2,
4,
2,
2,
3,
2,
3,
2,
3,
5,
2,
2,
2,
2,
3,
2,
3,
4,
5,
2,
3,
3,
3,
4,
4,
5,
3,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
2,
3,
5,
4,
3,
3,
3,
3,
2,
2,
2,
3,
5,
3,
3,
2,
2,
3,
4,
4,
2,
4,
4,
3,
2,
2,
2,
3,
2,
3,
4,
2,
4,
2,
4,
5,
4,
4,
4,
2,
4,
4,
2,
2,
3,
2,
3,
1,
5,
5,
2,
5,
2,
2,
3,
6,
3,
4,
2,
3,
5,
2,
2,
3,
3,
2,
2,
3,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
1,
2,
4,
2,
3,
2,
2,
2,
3,
2,
2,
4,
3,
3,
3,
5,
3,
3,
2,
3,
3,
2,
5,
4,
3,
2,
3,
7,
3,
4,
4,
4,
2,
3,
5,
3,
3,
3,
3,
3,
3,
3,
2,
2,
1,
2,
2,
2,
2,
3,
2,
3,
3,
2,
2,
4,
2,
2,
2,
3,
4,
3,
2,
3,
1,
4,
2,
2,
4,
2,
5,
2,
4,
2,
2,
3,
3,
3,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
2,
2,
3,
2,
3,
2,
4,
3,
4,
3,
2,
2,
2,
2,
3,
3,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
2,
4,
2,
2,
4,
4,
3,
4,
4,
2,
3,
3,
5,
3,
3,
2,
2,
2,
1,
2,
2,
5,
5,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
5,
2,
5,
4,
2,
2,
2,
3,
5,
2,
4,
3,
2,
4,
4,
2,
2,
4,
3,
3,
2,
4,
3,
5,
3,
1,
3,
2,
3,
7,
5,
4,
4,
6,
4,
4,
1,
2,
4,
4,
4,
4,
7,
4,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
2,
1,
2,
2,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
2,
4,
2,
5,
2,
4,
7,
2,
3,
2,
4,
3,
2,
5,
6,
3,
4,
2,
4,
4,
2,
2,
4,
4,
3,
4,
5,
2,
4,
2,
4,
3,
3,
3,
5,
4,
3,
3,
4,
4,
3,
3,
3,
4,
3,
2,
2,
4,
3,
5,
2,
3,
2,
4,
4,
3,
5,
2,
3,
2,
3,
3,
3,
2,
5,
4,
4,
5,
4,
4,
3,
4,
4,
4,
4,
2,
3,
2,
5,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
4,
4,
4,
2,
3,
2,
4,
4,
3,
3,
1,
5,
6,
5,
2,
2,
4,
2,
4,
2,
6,
4,
4,
5,
8,
2,
2,
2,
2,
2,
3,
4,
3,
3,
3,
2,
3,
6,
4,
1,
5,
2,
4,
5,
5,
2,
2,
3,
3,
2,
3,
3,
2,
3,
2,
2,
3,
2,
3,
2,
2,
2,
4,
2,
4,
2,
2,
3,
2,
4,
3,
3,
6,
6,
5,
3,
2,
3,
2,
3,
4,
2,
4,
4,
4,
3,
3,
3,
4,
1,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
4,
4,
5,
8,
3,
3,
2,
4,
3,
3,
3,
3,
4,
2,
4,
3,
3,
2,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
4,
4,
2,
1,
3,
2,
4,
3,
6,
6,
4,
6,
2,
4,
4,
5,
3,
5,
4,
4,
5,
3,
2,
1,
3,
2,
3,
3,
3,
3,
3,
2,
3,
4,
4,
4,
4,
2,
3,
3,
1,
2,
3,
2,
2,
2,
2,
2,
4,
4,
3,
3,
2,
4,
2,
2,
2,
3,
5,
2,
2,
3,
3,
3,
3,
4,
4,
6,
4,
2,
3,
3,
2,
1,
3,
2,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
2,
2,
4,
4,
6,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
3,
3,
3,
3,
3,
2,
2,
2,
1,
1,
3,
1,
2,
2,
3,
1,
3,
3,
2,
3,
4,
4,
4,
2,
2,
3,
5,
2,
2,
3,
4,
3,
5,
2,
2,
1,
2,
2,
5,
3,
5,
2,
2,
2,
4,
4,
2,
2,
4,
4,
6,
3,
4,
4,
5,
2,
2,
3,
2,
3,
2,
3,
3,
2,
2,
2,
3,
3,
5,
5,
4,
6,
2,
2,
2,
3,
2,
3,
2,
3,
4,
2,
2,
6,
3,
4,
5,
2,
2,
4,
2,
2,
3,
2,
2,
6,
5,
5,
5,
2,
2,
2,
4,
4,
4,
2,
3,
4,
2,
2,
2,
3,
2,
4,
3,
3,
1,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
4,
2,
4,
2,
2,
2,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
6,
6,
5,
2,
4,
2,
4,
4,
5,
3,
3,
3,
3,
4,
2,
2,
4,
3,
4,
2,
2,
2,
3,
3,
5,
3,
4,
3,
2,
2,
2,
2,
3,
2,
3,
4,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
3,
4,
8,
3,
3,
3,
3,
4,
4,
4,
2,
2,
4,
4,
3,
2,
3,
2,
3,
2,
2,
2,
3,
2,
3,
2,
4,
12,
2,
4,
5,
4,
3,
3,
3,
4,
3,
3,
2,
1,
3,
4,
5,
5,
5,
3,
4,
4,
4,
3,
2,
2,
2,
3,
2,
4,
4,
4,
3,
2,
2,
3,
4,
3,
3,
2,
3,
4,
4,
4,
2,
4,
3,
4,
3,
3,
4,
2,
3,
3,
2,
3,
2,
2,
2,
2,
4,
2,
2,
4,
4,
3,
2,
5,
2,
3,
3,
4,
2,
2,
2,
2,
2,
3,
4,
3,
3,
2,
3,
3,
3,
2,
2,
3,
3,
3,
2,
3,
3,
3,
4,
3,
3,
2,
2,
4,
6,
3,
3,
2,
3,
3,
3,
1,
4,
6,
4,
3,
7,
2,
2,
4,
2,
2,
2,
3,
3,
2,
9,
2,
2,
2,
4,
4,
4,
2,
4,
2,
4,
4,
6,
4,
3,
4,
5,
4,
2,
2,
4,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
3,
3,
5,
2,
2,
2,
5,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
3,
4,
5,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
3,
6,
3,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
3,
4,
2,
3,
2,
3,
3,
3,
5,
4,
5,
4,
2,
4,
5,
4,
2,
2,
1,
4,
5,
4,
2,
2,
4,
3,
4,
3,
5,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
5,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
5,
2,
4,
4,
3,
5,
5,
4,
4,
2,
4,
3,
3,
4,
5,
5,
5,
5,
6,
6,
3,
3,
3,
4,
3,
7,
4,
4,
4,
4,
2,
2,
3,
3,
2,
3,
2,
3,
4,
3,
4,
4,
2,
2,
4,
2,
2,
3,
3,
3,
4,
4,
4,
2,
4,
2,
5,
5,
4,
5,
3,
5,
4,
4,
4,
4,
5,
3,
2,
3,
3,
4,
4,
4,
2,
2,
2,
5,
6,
7,
3,
3,
2,
3,
5,
3,
6,
4,
4,
4,
3,
3,
4,
4,
2,
3,
3,
3,
3,
2,
2,
2,
1,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
3,
6,
6,
2,
2,
4,
4,
5,
5,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
4,
4,
3,
3,
4,
4,
3,
3,
2,
4,
4,
2,
2,
3,
4,
3,
3,
4,
2,
4,
2,
3,
4,
2,
2,
6,
2,
2,
8,
4,
3,
2,
2,
3,
3,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
2,
4,
6,
2,
2,
3,
2,
3,
3,
2,
4,
3,
5,
3,
4,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
4,
2,
3,
4,
4,
4,
5,
6,
3,
4,
4,
3,
4,
4,
2,
4,
2,
3,
3,
3,
3,
3,
6,
3,
4,
2,
7,
7,
6,
6,
7,
2,
2,
2,
2,
1,
3,
3,
3,
2,
3,
1,
2,
2,
2,
2,
2,
2,
3,
3,
4,
2,
3,
2,
4,
3,
4,
4,
2,
3,
5,
3,
6,
5,
5,
5,
3,
3,
4,
2,
3,
3,
2,
3,
3,
3,
2,
2,
3,
4,
2,
4,
4,
2,
3,
1,
3,
2,
2,
2,
4,
2,
1,
2,
3,
2,
4,
3,
4,
2,
3,
4,
2,
5,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
3,
5,
4,
7,
2,
2,
2,
2,
3,
2,
3,
3,
3,
4,
4,
2,
2,
2,
4,
2,
4,
3,
3,
4,
3,
2,
2,
2,
2,
2,
4,
4,
3,
4,
4,
4,
4,
3,
2,
2,
2,
2,
5,
3,
5,
3,
4,
4,
2,
4,
4,
3,
3,
4,
3,
3,
2,
2,
3,
3,
2,
3,
3,
2,
4,
2,
4,
2,
4,
7,
3,
2,
2,
3,
3,
3,
4,
4,
3,
4,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
5,
4,
2,
3,
2,
5,
2,
2,
2,
4,
4,
3,
4,
6,
4,
3,
4,
3,
3,
3,
2,
4,
3,
3,
2,
3,
2,
4,
3,
5,
2,
2,
3,
4,
7,
3,
4,
2,
3,
3,
4,
4,
4,
2,
2,
4,
4,
3,
2,
4,
2,
4,
2,
2,
2,
3,
1,
2,
3,
4,
3,
3,
2,
2,
2,
3,
3,
2,
4,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
3,
6,
4,
3,
3,
2,
5,
3,
5,
2,
4,
1,
2,
1,
4,
4,
5,
4,
2,
2,
4,
2,
5,
5,
3,
4,
4,
4,
4,
1,
3,
4,
4,
2,
2,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
5,
6,
3,
4,
4,
2,
2,
5,
2,
2,
2,
3,
4,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
5,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
7,
3,
4,
4,
6,
6,
8,
4,
6,
4,
5,
1,
2,
2,
2,
2,
4,
2,
4,
5,
6,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
3,
2,
4,
4,
4,
4,
2,
2,
4,
4,
3,
5,
4,
4,
3,
2,
3,
3,
3,
5,
7,
7,
4,
5,
4,
4,
2,
1,
3,
2,
5,
2,
4,
3,
4,
2,
3,
4,
2,
2,
3,
2,
5,
5,
5,
4,
2,
2,
5,
7,
4,
2,
4,
4,
2,
4,
4,
2,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
6,
2,
3,
2,
7,
2,
3,
4,
4,
4,
3,
6,
6,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
4,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
2,
3,
3,
3,
2,
3,
3,
2,
3,
3,
3,
3,
2,
3,
2,
3,
4,
3,
2,
2,
3,
4,
4,
2,
2,
3,
5,
2,
4,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
3,
2,
2,
3,
4,
3,
1,
3,
3,
5,
3,
3,
3,
3,
3,
2,
4,
4,
4,
3,
5,
6,
2,
2,
2,
2,
4,
2,
2,
2,
3,
3,
5,
2,
2,
2,
2,
5,
4,
4,
2,
1,
2,
4,
3,
3,
4,
2,
3,
4,
4,
2,
4,
2,
5,
4,
3,
2,
4,
2,
2,
2,
4,
3,
1,
4,
4,
2,
2,
3,
6,
3,
5,
4,
4,
6,
3,
3,
2,
2,
3,
2,
3,
2,
3,
5,
2,
1,
3,
5,
7,
2,
2,
3,
2,
2,
2,
2,
4,
3,
5,
3,
3,
3,
2,
4,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
7,
3,
2,
4,
4,
2,
3,
4,
2,
4,
4,
4,
3,
3,
4,
2,
2,
4,
2,
2,
2,
2,
2,
1,
3,
3,
2,
2,
3,
4,
4,
2,
5,
3,
3,
3,
3,
4,
4,
3,
3,
2,
4,
4,
4,
4,
2,
2,
3,
3,
2,
4,
3,
3,
3,
2,
4,
2,
2,
3,
4,
4,
3,
3,
2,
3,
4,
3,
3,
2,
2,
2,
4,
4,
4,
2,
2,
2,
3,
4,
4,
4,
1,
5,
5,
5,
4,
3,
3,
4,
3,
2,
2,
2,
4,
4,
4,
3,
2,
2,
3,
2,
3,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
3,
6,
4,
4,
4,
4,
2,
3,
2,
2,
4,
4,
4,
4,
3,
2,
4,
3,
3,
3,
2,
2,
2,
3,
3,
3,
4,
2,
4,
1,
4,
5,
4,
4,
3,
4,
2,
4,
2,
1,
4,
4,
4,
2,
3,
4,
3,
2,
2,
1,
2,
2,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
5,
3,
3,
2,
2,
3,
4,
2,
2,
2,
4,
2,
2,
4,
2,
3,
3,
4,
3,
2,
3,
4,
2,
3,
5,
2,
3,
4,
2,
4,
3,
3,
2,
3,
4,
3,
4,
2,
2,
4,
4,
2,
2,
2,
3,
4,
4,
4,
5,
3,
3,
3,
2,
3,
2,
3,
2,
2,
7,
3,
3,
3,
3,
3,
2,
4,
2,
2,
4,
2,
4,
4,
4,
3,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
4,
2,
4,
4,
2,
3,
3,
3,
3,
5,
4,
4,
3,
2,
2,
2,
4,
1,
3,
3,
2,
2,
3,
3,
3,
4,
2,
2,
3,
3,
2,
2,
2,
2,
2,
4,
5,
4,
2,
5,
4,
8,
4,
4,
2,
4,
3,
5,
3,
2,
4,
4,
4,
3,
2,
5,
5,
2,
4,
4,
4,
4,
3,
2,
4,
2,
2,
3,
3,
3,
4,
4,
4,
5,
5,
4,
4,
2,
4,
2,
2,
4,
2,
3,
4,
4,
4,
2,
2,
5,
2,
3,
3,
3,
3,
2,
4,
4,
4,
2,
3,
3,
4,
3,
3,
2,
4,
2,
2,
3,
4,
6,
3,
4,
4,
2,
4,
3,
5,
5,
3,
5,
4,
4,
4,
2,
4,
1,
5,
4,
4,
4,
5,
5,
2,
5,
4,
3,
3,
3,
3,
3,
4,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
5,
4,
4,
8,
5,
2,
2,
3,
4,
4,
5,
2,
2,
2,
4,
2,
3,
2,
2,
2,
3,
3,
4,
5,
3,
3,
6,
2,
4,
6,
4,
2,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
3,
3,
2,
4,
2,
3,
3,
3,
1,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
3,
4,
4,
3,
3,
3,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
4,
4,
4,
4,
2,
4,
6,
4,
4,
4,
3,
4,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
3,
2,
3,
2,
4,
5,
3,
3,
2,
2,
6,
4,
3,
3,
3,
3,
3,
3,
2,
4,
3,
2,
6,
4,
5,
2,
2,
4,
4,
5,
5,
4,
2,
3,
2,
2,
2,
4,
1,
3,
3,
4,
4,
2,
3,
3,
4,
2,
2,
3,
4,
7,
3,
3,
1,
2,
3,
2,
2,
4,
2,
2,
4,
3,
3,
2,
2,
2,
5,
3,
3,
6,
3,
2,
2,
2,
2,
4,
3,
2,
2,
5,
3,
4,
3,
3,
2,
4,
4,
2,
5,
3,
2,
3,
3,
2,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
2,
4,
2,
1,
4,
2,
4,
4,
5,
4,
4,
2,
4,
2,
2,
4,
4,
4,
5,
4,
4,
2,
3,
3,
5,
3,
3,
2,
3,
1,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
2,
4,
1,
2,
2,
4,
4,
4,
2,
4,
2,
3,
2,
4,
2,
8,
4,
4,
2,
4,
3,
3,
2,
2,
2,
4,
3,
1,
3,
3,
2,
2,
7,
7,
4,
6,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
3,
3,
2,
2,
2,
4,
4,
4,
4,
2,
5,
7,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
5,
4,
4,
4,
2,
2,
3,
2,
3,
6,
6,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
1,
4,
2,
3,
2,
3,
2,
4,
3,
4,
4,
2,
4,
3,
4,
4,
4,
4,
2,
5,
4,
4,
4,
4,
2,
4,
3,
4,
4,
4,
2,
2,
2,
3,
3,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
4,
1,
4,
4,
4,
4,
2,
3,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
5,
5,
3,
2,
2,
4,
2,
1,
3,
2,
2,
2,
3,
3,
3,
3,
5,
3,
1,
2,
6,
2,
2,
2,
2,
4,
4,
3,
5,
5,
5,
5,
3,
2,
2,
2,
3,
2,
3,
4,
4,
4,
2,
2,
2,
4,
2,
1,
5,
2,
2,
2,
3,
3,
2,
2,
3,
3,
4,
2,
4,
2,
2,
7,
3,
3,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
3,
3,
3,
2,
3,
2,
4,
2,
3,
3,
4,
3,
3,
2,
4,
4,
2,
2,
2,
4,
2,
4,
2,
4,
2,
2,
3,
3,
3,
3,
2,
5,
2,
2,
2,
7,
2,
2,
2,
4,
4,
4,
2,
2,
3,
4,
5,
4,
4,
3,
4,
3,
3,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
2,
3,
4,
2,
1,
3,
2,
2,
2,
2,
1,
3,
2,
3,
3,
3,
3,
2,
3,
2,
2,
4,
7,
3,
4,
4,
2,
2,
3,
2,
2,
4,
4,
4,
2,
3,
3,
2,
2,
3,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
4,
4,
4,
7,
4,
2,
3,
3,
2,
2,
3,
3,
3,
2,
2,
2,
5,
4,
4,
4,
3,
2,
4,
3,
3,
4,
5,
2,
7,
2,
4,
4,
4,
2,
3,
3,
3,
2,
3,
5,
3,
3,
4,
2,
3,
1,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
3,
3,
3,
4,
3,
3,
2,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
2,
3,
4,
3,
3,
4,
2,
4,
3,
3,
4,
2,
3,
3,
2,
2,
3,
3,
3,
3,
2,
2,
2,
4,
2,
4,
2,
3,
2,
3,
4,
2,
2,
1,
2,
2,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
5,
2,
2,
2,
1,
3,
4,
4,
4,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
4,
3,
2,
2,
4,
2,
4,
2,
2,
3,
3,
3,
3,
2,
3,
4,
2,
2,
3,
3,
2,
4,
4,
3,
2,
3,
4,
4,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
2,
3,
2,
2,
2,
2,
2,
5,
4,
4,
3,
2,
3,
4,
5,
4,
2,
2,
5,
5,
5,
2,
3,
4,
3,
3,
4,
3,
3,
4,
3,
3,
3,
4,
4,
3,
3,
4,
3,
5,
4,
4,
2,
2,
4,
4,
3,
4,
2,
2,
2,
4,
2,
3,
3,
3,
2,
4,
4,
7,
4,
4,
4,
4,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
3,
2,
2,
2,
2,
2,
6,
3,
2,
6,
2,
2,
2,
2,
2,
4,
3,
3,
5,
4,
3,
2,
4,
3,
5,
5,
2,
2,
3,
2,
3,
3,
4,
4,
7,
4,
2,
2,
1,
2,
2,
2,
2,
3,
3,
2,
2,
2,
6,
5,
2,
2,
5,
2,
2,
4,
4,
2,
6,
6,
3,
4,
3,
5,
6,
4,
2,
2,
2,
2,
2,
2,
5,
7,
2,
2,
3,
4,
2,
5,
3,
1,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
3,
2,
3,
3,
1,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
2,
2,
4,
3,
3,
4,
3,
3,
3,
3,
2,
2,
5,
7,
4,
2,
4,
4,
4,
3,
3,
3,
2,
2,
4,
2,
2,
3,
3,
6,
5,
3,
2,
4,
2,
3,
3,
2,
4,
3,
2,
2,
3,
3,
2,
4,
3,
3,
4,
3,
5,
6,
3,
6,
2,
4,
4,
3,
3,
3,
4,
5,
2,
3,
3,
3,
4,
4,
2,
4,
5,
2,
2,
4,
4,
3,
4,
4,
4,
2,
2,
4,
2,
4,
2,
4,
2,
2,
2,
2,
6,
4,
2,
4,
2,
4,
4,
6,
4,
2,
2,
2,
1,
4,
4,
5,
3,
3,
7,
7,
8,
6,
5,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
1,
3,
4,
4,
4,
5,
3,
4,
4,
4,
2,
2,
4,
3,
1,
2,
2,
2,
3,
3,
2,
3,
2,
2,
3,
3,
4,
2,
2,
4,
2,
2,
1,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
5,
4,
4,
6,
4,
4,
8,
3,
3,
2,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
3,
5,
3,
3,
2,
2,
2,
3,
3,
3,
2,
7,
3,
3,
7,
3,
5,
5,
4,
4,
2,
3,
3,
2,
3,
3,
3,
3,
4,
4,
2,
2,
4,
3,
2,
4,
4,
4,
4,
4,
3,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
4,
2,
6,
4,
6,
4,
3,
2,
2,
4,
3,
2,
4,
3,
5,
3,
3,
6,
3,
3,
1,
4,
3,
2,
2,
2,
2,
2,
2,
2,
4,
6,
2,
2,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
2,
4,
2,
3,
2,
2,
4,
3,
4,
2,
3,
4,
5,
2,
3,
6,
6,
2,
4,
3,
3,
4,
5,
2,
3,
3,
3,
1,
3,
3,
2,
3,
2,
4,
3,
4,
4,
4,
3,
2,
2,
2,
2,
3,
3,
5,
6,
4,
2,
2,
3,
4,
4,
3,
4,
4,
3,
3,
1,
4,
5,
3,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
2,
1,
4,
2,
2,
2,
3,
3,
2,
5,
2,
3,
3,
2,
2,
2,
2,
6,
3,
4,
4,
4,
4,
3,
2,
5,
3,
4,
4,
4,
4,
4,
4,
1,
2,
3,
9,
4,
2,
5,
3,
3,
4,
2,
2,
3,
4,
5,
3,
3,
2,
5,
5,
3,
4,
5,
3,
3,
3,
5,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
1,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
4,
2,
4,
2,
2,
4,
3,
3,
2,
2,
4,
2,
2,
1,
2,
2,
4,
4,
4,
4,
2,
3,
4,
7,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
3,
3,
3,
3,
4,
2,
4,
4,
4,
3,
3,
3,
6,
2,
2,
4,
4,
4,
4,
2,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
2,
2,
3,
4,
4,
3,
4,
6,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
4,
4,
5,
4,
5,
4,
4,
2,
2,
3,
2,
4,
2,
3,
3,
4,
3,
2,
4,
4,
3,
2,
3,
2,
1,
6,
3,
4,
2,
2,
1,
3,
3,
4,
2,
2,
2,
2,
2,
2,
6,
7,
5,
2,
2,
4,
2,
3,
3,
3,
2,
3,
2,
2,
5,
3,
4,
2,
2,
2,
3,
3,
3,
4,
2,
4,
4,
3,
2,
6,
2,
4,
3,
3,
4,
3,
3,
4,
4,
2,
3,
2,
3,
4,
4,
4,
3,
6,
3,
3,
4,
4,
2,
2,
3,
3,
3,
4,
4,
4,
5,
4,
5,
3,
2,
3,
6,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
2,
4,
4,
4,
6,
5,
5,
3,
2,
3,
3,
3,
2,
3,
2,
2,
1,
2,
2,
2,
2,
2,
4,
3,
3,
2,
3,
3,
2,
3,
5,
2,
2,
2,
3,
2,
5,
3,
2,
6,
2,
2,
4,
2,
3,
4,
2,
2,
4,
2,
3,
3,
5,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
7,
3,
3,
3,
3,
3,
3,
4,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
5,
4,
3,
3,
2,
2,
2,
3,
2,
2,
2,
4,
3,
7,
3,
3,
4,
5,
4,
4,
3,
3,
6,
3,
3,
3,
3,
3,
2,
4,
3,
2,
5,
3,
3,
4,
5,
2,
4,
6,
3,
3,
3,
3,
4,
2,
3,
2,
2,
6,
2,
2,
2,
2,
3,
4,
4,
2,
2,
3,
6,
2,
2,
5,
4,
4,
4,
5,
4,
4,
4,
5,
3,
7,
2,
3,
3,
2,
2,
2,
2,
2,
3,
2,
6,
4,
7,
6,
4,
6,
2,
2,
3,
4,
6,
3,
2,
5,
5,
3,
5,
4,
4,
4,
2,
2,
3,
3,
4,
3,
3,
2,
2,
5,
6,
2,
3,
2,
3,
4,
2,
5,
2,
6,
4,
2,
2,
4,
3,
3,
2,
2,
3,
4,
3,
4,
4,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
6,
5,
6,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
5,
5,
1,
3,
4,
6,
4,
5,
5,
2,
3,
2,
2,
5,
2,
2,
4,
2,
2,
3,
3,
3,
3,
1,
2,
4,
3,
2,
2,
4,
3,
3,
4,
2,
2,
7,
2,
2,
2,
2,
2,
3,
3,
2,
4,
3,
4,
3,
2,
4,
4,
3,
2,
4,
4,
4,
4,
4,
2,
4,
2,
2,
4,
4,
2,
3,
3,
3,
4,
2,
2,
4,
4,
2,
3,
2,
2,
2,
2,
2,
5,
2,
2,
2,
3,
4,
4,
4,
2,
3,
3,
4,
4,
3,
4,
5,
5,
5,
6,
6,
5,
5,
3,
3,
3,
2,
3,
2,
3,
3,
3,
4,
3,
3,
2,
2,
1,
2,
2,
2,
2,
2,
4,
2,
2,
4,
5,
4,
3,
4,
3,
3,
2,
4,
4,
3,
2,
5,
3,
3,
3,
2,
2,
4,
4,
2,
3,
2,
2,
3,
2,
2,
6,
2,
2,
2,
4,
4,
4,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
4,
2,
2,
3,
2,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
4,
3,
2,
2,
4,
2,
4,
3,
2,
4,
3,
4,
4,
5,
4,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
3,
4,
3,
4,
2,
2,
3,
3,
2,
3,
3,
2,
3,
2,
2,
2,
4,
2,
4,
4,
5,
2,
4,
4,
4,
3,
3,
2,
5,
5,
6,
5,
3,
3,
3,
3,
4,
4,
5,
4,
4,
3,
1,
2,
6,
3,
4,
2,
4,
2,
2,
3,
4,
6,
4,
4,
5,
4,
3,
3,
3,
3,
3,
3,
3,
1,
3,
3,
3,
4,
4,
6,
4,
3,
6,
4,
4,
4,
4,
2,
2,
6,
3,
5,
5,
4,
4,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
4,
4,
2,
3,
2,
2,
4,
4,
2,
3,
2,
2,
4,
4,
3,
3,
4,
3,
4,
3,
3,
1,
5,
2,
3,
4,
3,
3,
3,
3,
3,
5,
5,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
5,
6,
5,
5,
4,
5,
4,
2,
3,
3,
4,
2,
2,
4,
6,
2,
2,
2,
4,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
6,
3,
2,
3,
2,
2,
2,
2,
5,
2,
4,
4,
4,
4,
2,
3,
3,
2,
4,
2,
4,
4,
4,
2,
2,
2,
4,
2,
4,
2,
3,
5,
5,
4,
2,
3,
3,
4,
2,
2,
3,
4,
3,
2,
2,
2,
2,
2,
4,
4,
4,
5,
4,
1,
4,
4,
4,
1,
1,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
5,
3,
3,
2,
2,
4,
3,
3,
3,
3,
4,
3,
3,
5,
3,
3,
2,
3,
4,
4,
2,
4,
2,
3,
2,
3,
2,
4,
4,
3,
2,
2,
2,
2,
5,
4,
4,
4,
4,
4,
4,
5,
4,
4,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
3,
3,
4,
2,
2,
3,
2,
2,
2,
2,
4,
5,
4,
3,
3,
3,
5,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
5,
5,
3,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
6,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
4,
4,
4,
5,
5,
1,
4,
2,
1,
2,
2,
1,
5,
3,
3,
3,
4,
4,
4,
3,
3,
3,
2,
2,
2,
1,
2,
3,
4,
4,
4,
4,
4,
7,
4,
2,
5,
2,
2,
2,
4,
2,
4,
4,
4,
3,
6,
2,
3,
2,
2,
4,
4,
4,
6,
2,
5,
4,
6,
2,
2,
3,
2,
2,
4,
4,
4,
2,
2,
2,
2,
1,
4,
3,
4,
4,
7,
2,
5,
5,
3,
5,
2,
2,
3,
3,
2,
4,
2,
4,
3,
2,
4,
3,
5,
5,
3,
2,
2,
2,
2,
3,
1,
4,
4,
5,
2,
4,
4,
2,
2,
1,
5,
4,
4,
4,
4,
2,
5,
2,
3,
2,
3,
3,
2,
3,
3,
4,
3,
4,
2,
2,
2,
3,
2,
4,
4,
5,
4,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
4,
3,
3,
3,
3,
3,
4,
3,
4,
2,
2,
4,
4,
2,
7,
5,
3,
3,
3,
2,
3,
2,
6,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
1,
2,
2,
4,
2,
3,
2,
2,
3,
3,
5,
2,
3,
3,
6,
3,
3,
3,
3,
2,
3,
2,
2,
2,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
3,
3,
3,
4,
2,
3,
2,
4,
4,
4,
2,
2,
2,
3,
5,
4,
4,
2,
4,
3,
4,
4,
4,
4,
2,
6,
6,
2,
4,
3,
2,
3,
6,
2,
3,
4,
2,
2,
4,
4,
2,
3,
2,
2,
2,
3,
2,
3,
2,
4,
4,
4,
2,
4,
2,
2,
2,
4,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
3,
4,
6,
6,
5,
2,
3,
5,
5,
5,
4,
2,
2,
2,
3,
2,
3,
2,
4,
2,
4,
2,
2,
4,
4,
4,
2,
3,
2,
4,
2,
4,
2,
4,
4,
4,
3,
3,
3,
2,
3,
3,
2,
4,
2,
3,
2,
3,
3,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
3,
3,
2,
3,
3,
2,
4,
2,
2,
2,
4,
2,
2,
4,
3,
3,
3,
3,
2,
2,
2,
2,
5,
3,
2,
2,
2,
3,
5,
4,
4,
4,
6,
2,
2,
2,
1,
3,
3,
4,
4,
3,
2,
2,
3,
3,
2,
3,
4,
2,
3,
6,
6,
5,
4,
4,
2,
3,
1,
6,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
5,
2,
7,
6,
4,
2,
2,
4,
3,
5,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
3,
4,
2,
4,
2,
3,
3,
3,
3,
5,
3,
2,
3,
4,
3,
3,
2,
2,
2,
2,
2,
4,
3,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
3,
3,
2,
5,
3,
2,
2,
2,
2,
5,
4,
4,
4,
4,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
4,
2,
5,
2,
4,
4,
3,
1,
3,
4,
4,
4,
3,
2,
2,
2,
2,
3,
2,
4,
4,
3,
3,
2,
2,
3,
3,
2,
3,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
5,
3,
2,
2,
2,
3,
5,
2,
4,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
3,
4,
4,
1,
1,
4,
3,
2,
2,
2,
2,
2,
4,
5,
3,
2,
3,
3,
4,
3,
6,
4,
3,
2,
2,
3,
3,
3,
3,
3,
8,
2,
4,
6,
4,
4,
3,
2,
3,
3,
3,
2,
2,
4,
3,
5,
6,
3,
3,
3,
7,
2,
2,
2,
2,
2,
2,
2,
6,
2,
4,
2,
2,
2,
2,
4,
3,
4,
2,
4,
2,
2,
3,
3,
5,
6,
6,
2,
3,
4,
2,
3,
5,
4,
4,
5,
4,
6,
2,
4,
2,
2,
2,
2,
2,
4,
1,
3,
2,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
1,
2,
6,
9,
2,
2,
2,
2,
4,
7,
3,
4,
3,
3,
2,
3,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
3,
3,
4,
5,
5,
4,
5,
5,
4,
2,
2,
2,
4,
3,
4,
3,
4,
4,
4,
2,
5,
4,
4,
2,
2,
4,
4,
2,
2,
1,
4,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
5,
4,
4,
3,
4,
3,
6,
4,
2,
2,
2,
2,
2,
2,
4,
1,
2,
2,
3,
3,
4,
3,
3,
2,
2,
2,
3,
2,
2,
4,
2,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
3,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
6,
2,
4,
6,
4,
4,
3,
3,
2,
2,
3,
2,
2,
3,
2,
2,
3,
2,
6,
4,
4,
3,
4,
3,
2,
4,
3,
3,
3,
4,
2,
4,
4,
3,
2,
2,
2,
3,
3,
4,
4,
4,
3,
5,
6,
3,
2,
2,
3,
1,
2,
3,
4,
4,
3,
3,
3,
5,
5,
5,
5,
5,
5,
3,
3,
3,
3,
3,
4,
4,
3,
4,
2,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
6,
4,
4,
2,
4,
3,
3,
4,
3,
3,
2,
3,
4,
2,
4,
4,
4,
4,
2,
1,
2,
2,
3,
2,
2,
3,
2,
2,
3,
3,
4,
7,
3,
3,
2,
2,
4,
4,
4,
4,
4,
3,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
6,
2,
6,
5,
2,
2,
2,
4,
4,
4,
2,
4,
3,
4,
2,
4,
3,
3,
2,
1,
6,
5,
3,
4,
4,
3,
3,
4,
4,
4,
3,
3,
4,
3,
2,
3,
2,
1,
1,
3,
6,
3,
3,
3,
3,
3,
3,
4,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
8,
4,
4,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
3,
2,
3,
2,
4,
4,
4,
2,
2,
2,
1,
4,
2,
3,
4,
4,
4,
4,
6,
2,
2,
3,
2,
2,
3,
2,
5,
2,
3,
3,
4,
5,
3,
3,
2,
2,
1,
2,
3,
4,
2,
3,
3,
4,
3,
5,
4,
6,
3,
4,
4,
5,
4,
4,
2,
2,
4,
4,
4,
3,
1,
2,
3,
5,
5,
7,
4,
2,
3,
5,
4,
5,
3,
5,
4,
4,
4,
4,
3,
3,
2,
4,
4,
2,
3,
2,
2,
3,
3,
1,
4,
3,
3,
3,
6,
2,
2,
3,
3,
4,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
7,
2,
2,
4,
2,
2,
4,
2,
2,
3,
4,
5,
3,
2,
4,
1,
4,
4,
2,
4,
4,
4,
4,
2,
2,
2,
4,
2,
4,
2,
2,
3,
4,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
3,
4,
4,
2,
2,
3,
2,
4,
4,
2,
4,
4,
4,
2,
3,
3,
4,
4,
5,
5,
7,
5,
3,
3,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
2,
5,
2,
4,
4,
6,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
2,
4,
4,
2,
6,
1,
2,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
5,
2,
2,
1,
3,
3,
1,
3,
2,
4,
4,
4,
4,
5,
4,
4,
2,
2,
3,
3,
4,
2,
2,
4,
4,
4,
2,
4,
4,
4,
2,
4,
7,
2,
2,
2,
3,
2,
2,
5,
2,
4,
2,
2,
6,
4,
2,
4,
5,
5,
4,
5,
4,
5,
2,
2,
2,
2,
3,
3,
2,
4,
4,
2,
4,
5,
1,
4,
3,
4,
4,
3,
3,
2,
3,
2,
4,
2,
4,
2,
2,
4,
4,
4,
2,
2,
4,
2,
3,
3,
3,
3,
5,
1,
2,
3,
6,
6,
6,
6,
3,
3,
2,
2,
3,
2,
2,
4,
4,
2,
4,
2,
4,
4,
2,
4,
5,
2,
3,
3,
4,
2,
4,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
3,
2,
2,
2,
4,
4,
4,
4,
1,
4,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
3,
4,
5,
3,
3,
6,
2,
3,
4,
4,
3,
2,
3,
2,
3,
3,
2,
2,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
2,
3,
2,
2,
4,
2,
2,
1,
2,
4,
2,
2,
8,
4,
6,
3,
2,
2,
2,
3,
3,
4,
4,
5,
4,
4,
4,
4,
4,
5,
4,
4,
4,
4,
3,
2,
2,
4,
5,
3,
3,
3,
4,
2,
5,
3,
5,
2,
4,
2,
2,
2,
3,
3,
5,
4,
4,
2,
4,
4,
4,
4,
5,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
3,
4,
2,
2,
3,
3,
2,
4,
2,
4,
3,
4,
2,
2,
2,
3,
3,
4,
2,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
3,
3,
7,
2,
2,
3,
3,
3,
3,
4,
3,
8,
2,
4,
4,
4,
3,
3,
2,
2,
3,
2,
3,
4,
2,
2,
4,
2,
2,
2,
2,
3,
3,
2,
2,
4,
4,
2,
4,
4,
3,
2,
3,
2,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
4,
4,
4,
2,
2,
3,
2,
3,
4,
6,
3,
3,
3,
3,
4,
2,
3,
2,
3,
4,
2,
5,
2,
3,
4,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
4,
3,
4,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
2,
7,
5,
4,
3,
2,
2,
2,
3,
4,
4,
3,
4,
3,
2,
4,
2,
2,
4,
5,
3,
2,
3,
3,
3,
2,
2,
4,
3,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
2,
4,
2,
3,
3,
3,
5,
2,
3,
4,
3,
2,
4,
2,
2,
2,
2,
3,
4,
3,
3,
4,
4,
4,
4,
2,
4,
4,
2,
3,
3,
3,
2,
2,
2,
3,
2,
3,
2,
3,
5,
5,
4,
2,
5,
4,
4,
3,
3,
4,
5,
3,
2,
3,
4,
2,
4,
2,
2,
4,
3,
2,
4,
3,
2,
2,
3,
4,
4,
3,
3,
4,
4,
5,
2,
4,
3,
2,
3,
2,
2,
4,
2,
2,
2,
3,
3,
4,
2,
4,
4,
4,
3,
3,
3,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
3,
2,
4,
6,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
4,
3,
2,
2,
3,
5,
5,
2,
2,
2,
2,
4,
3,
3,
3,
3,
5,
3,
6,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
1,
3,
2,
2,
2,
4,
2,
2,
2,
2,
4,
3,
5,
4,
3,
2,
5,
4,
3,
3,
5,
5,
3,
5,
5,
2,
2,
2,
2,
2,
4,
4,
4,
4,
5,
4,
3,
4,
3,
2,
2,
2,
4,
4,
4,
4,
2,
3,
2,
5,
4,
4,
5,
3,
3,
3,
2,
2,
2,
2,
4,
2,
3,
3,
2,
2,
4,
3,
3,
2,
5,
3,
4,
5,
4,
3,
2,
2,
3,
3,
4,
3,
3,
4,
2,
4,
3,
2,
4,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
5,
3,
5,
4,
4,
3,
3,
4,
4,
4,
3,
5,
6,
2,
5,
4,
3,
5,
2,
3,
3,
2,
2,
2,
6,
3,
2,
4,
2,
2,
4,
3,
2,
3,
4,
3,
3,
2,
2,
6,
2,
3,
2,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
2,
4,
4,
4,
2,
5,
5,
3,
4,
5,
2,
2,
2,
2,
4,
2,
2,
4,
2,
4,
11,
4,
3,
3,
2,
2,
3,
2,
3,
2,
4,
4,
3,
2,
5,
3,
3,
2,
3,
2,
4,
3,
3,
4,
5,
6,
5,
3,
2,
2,
1,
1,
2,
3,
3,
3,
1,
4,
2,
2,
4,
4,
4,
4,
4,
3,
4,
2,
4,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
2,
3,
3,
2,
3,
4,
2,
4,
4,
6,
2,
5,
2,
5,
4,
2,
7,
2,
3,
3,
4,
2,
4,
2,
3,
8,
2,
4,
3,
3,
3,
3,
4,
2,
3,
3,
3,
2,
4,
4,
6,
4,
5,
5,
5,
2,
3,
3,
2,
5,
4,
4,
7,
5,
4,
4,
4,
3,
4,
3,
3,
3,
3,
4,
2,
2,
7,
2,
4,
3,
4,
1,
3,
3,
7,
5,
2,
2,
3,
2,
3,
4,
4,
2,
6,
5,
4,
3,
2,
2,
4,
4,
3,
3,
4,
4,
4,
3,
2,
3,
3,
5,
2,
4,
2,
3,
2,
4,
3,
4,
4,
2,
2,
2,
4,
2,
4,
3,
4,
4,
4,
3,
2,
4,
5,
5,
3,
4,
3,
3,
3,
3,
2,
3,
3,
2,
3,
4,
3,
2,
4,
4,
4,
2,
3,
9,
2,
2,
3,
6,
2,
2,
3,
2,
2,
5,
2,
5,
2,
2,
2,
4,
4,
2,
2,
3,
3,
2,
6,
4,
2,
2,
2,
2,
2,
2,
5,
2,
3,
4,
4,
2,
2,
2,
2,
4,
2,
3,
3,
3,
4,
4,
4,
2,
2,
4,
4,
4,
2,
6,
2,
3,
3,
4,
2,
4,
2,
3,
4,
6,
4,
5,
2,
2,
2,
2,
3,
4,
6,
4,
4,
3,
3,
3,
3,
2,
3,
3,
4,
3,
2,
1,
2,
2,
5,
4,
4,
5,
4,
2,
8,
4,
2,
2,
2,
2,
4,
6,
5,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
3,
2,
3,
2,
2,
2,
4,
3,
2,
4,
3,
4,
4,
4,
3,
3,
3,
2,
3,
3,
2,
3,
5,
2,
2,
4,
3,
2,
3,
2,
2,
3,
3,
3,
2,
3,
1,
5,
5,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
3,
4,
4,
4,
3,
4,
4,
2,
5,
4,
4,
3,
2,
4,
3,
4,
3,
2,
2,
2,
2,
4,
3,
2,
3,
2,
3,
4,
4,
1,
1,
1,
2,
2,
3,
2,
2,
2,
5,
2,
2,
2,
3,
4,
4,
6,
3,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
4,
4,
2,
3,
5,
3,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
3,
2,
4,
2,
5,
4,
3,
4,
2,
2,
2,
4,
4,
2,
3,
3,
3,
2,
3,
3,
3,
2,
6,
2,
2,
4,
5,
1,
3,
3,
2,
2,
4,
2,
2,
2,
2,
4,
2,
1,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
3,
4,
2,
2,
3,
2,
2,
4,
3,
3,
4,
3,
4,
3,
2,
2,
2,
2,
2,
5,
4,
3,
2,
4,
4,
2,
3,
6,
2,
3,
5,
5,
7,
4,
4,
3,
3,
3,
3,
2,
2,
2,
4,
3,
5,
5,
2,
5,
3,
4,
2,
2,
5,
2,
4,
3,
7,
5,
6,
5,
5,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
6,
5,
3,
4,
1,
2,
2,
2,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
3,
2,
6,
3,
3,
2,
7,
7,
4,
3,
4,
3,
2,
3,
2,
2,
3,
4,
2,
3,
2,
2,
3,
2,
2,
2,
2,
1,
2,
2,
3,
2,
3,
3,
4,
4,
2,
2,
2,
3,
5,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
2,
3,
3,
2,
2,
6,
3,
4,
3,
4,
4,
6,
2,
1,
2,
2,
3,
3,
3,
2,
3,
3,
3,
4,
6,
4,
4,
2,
2,
4,
3,
2,
5,
2,
2,
3,
3,
3,
4,
4,
3,
4,
4,
3,
3,
3,
3,
4,
3,
3,
2,
4,
3,
3,
2,
1,
4,
4,
2,
4,
4,
3,
3,
6,
3,
5,
2,
4,
2,
4,
5,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
6,
6,
3,
4,
4,
4,
4,
3,
6,
2,
10,
5,
4,
4,
4,
3,
2,
2,
3,
4,
4,
3,
3,
3,
2,
4,
5,
3,
4,
5,
4,
4,
4,
5,
5,
7,
3,
5,
3,
2,
3,
2,
2,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
5,
2,
4,
5,
7,
2,
2,
3,
5,
2,
2,
4,
2,
3,
5,
2,
3,
3,
5,
2,
4,
4,
4,
2,
3,
3,
2,
2,
3,
3,
2,
4,
2,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
3,
3,
3,
2,
3,
2,
5,
4,
4,
2,
3,
3,
4,
3,
3,
4,
4,
2,
6,
6,
6,
2,
2,
3,
2,
4,
4,
5,
4,
4,
3,
2,
3,
2,
4,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
4,
2,
2,
4,
3,
2,
2,
2,
2,
2,
3,
3,
1,
2,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
4,
2,
4,
3,
2,
3,
1,
2,
4,
3,
3,
2,
2,
4,
6,
4,
4,
4,
4,
6,
3,
4,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
4,
6,
6,
6,
5,
8,
2,
3,
5,
2,
2,
3,
3,
3,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
5,
6,
3,
4,
4,
1,
3,
3,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
4,
4,
3,
2,
4,
4,
2,
3,
3,
3,
3,
3,
2,
3,
4,
4,
4,
2,
2,
4,
2,
2,
5,
4,
4,
4,
4,
4,
4,
3,
4,
2,
3,
2,
1,
2,
2,
2,
5,
4,
2,
3,
4,
2,
6,
2,
3,
2,
4,
2,
1,
1,
2,
3,
4,
4,
3,
3,
5,
8,
3,
3,
3,
2,
4,
5,
4,
4,
2,
2,
2,
2,
3,
10,
2,
7,
4,
4,
4,
4,
4,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
5,
3,
2,
5,
4,
4,
4,
3,
2,
2,
4,
4,
4,
4,
4,
2,
2,
3,
5,
4,
4,
4,
3,
4,
2,
4,
2,
4,
2,
2,
4,
4,
3,
4,
2,
3,
3,
4,
2,
3,
3,
3,
3,
1,
3,
3,
3,
5,
3,
3,
2,
3,
2,
4,
3,
5,
3,
3,
3,
4,
2,
3,
2,
5,
6,
2,
4,
4,
5,
4,
4,
6,
3,
2,
2,
4,
4,
5,
2,
2,
2,
3,
6,
2,
5,
7,
4,
4,
4,
4,
5,
2,
4,
5,
3,
3,
4,
4,
4,
2,
3,
3,
3,
3,
4,
2,
2,
2,
3,
3,
6,
4,
4,
4,
2,
2,
4,
2,
5,
3,
4,
4,
5,
5,
5,
3,
3,
3,
3,
5,
7,
3,
2,
4,
4,
4,
3,
5,
3,
3,
3,
3,
1,
4,
4,
2,
3,
3,
3,
3,
3,
3,
4,
5,
2,
2,
4,
7,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
4,
4,
5,
4,
2,
5,
3,
3,
4,
4,
4,
6,
5,
5,
4,
3,
2,
2,
4,
3,
2,
2,
3,
3,
3,
3,
2,
4,
4,
2,
2,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
1,
2,
2,
3,
3,
3,
3,
4,
4,
2,
3,
3,
2,
3,
2,
3,
4,
3,
4,
4,
4,
5,
4,
4,
4,
4,
4,
7,
4,
4,
4,
4,
3,
2,
3,
2,
3,
8,
3,
4,
4,
3,
4,
4,
2,
4,
4,
4,
3,
4,
3,
3,
3,
3,
3,
4,
2,
3,
3,
2,
3,
3,
6,
5,
4,
4,
5,
3,
4,
4,
4,
4,
4,
4,
6,
6,
4,
4,
2,
4,
2,
2,
2,
4,
3,
2,
5,
5,
4,
4,
1,
3,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
4,
4,
3,
3,
3,
2,
3,
2,
3,
4,
4,
1,
4,
5,
5,
6,
5,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
2,
3,
2,
3,
3,
3,
4,
2,
4,
2,
2,
4,
3,
4,
4,
4,
6,
4,
4,
4,
4,
4,
2,
4,
5,
3,
5,
4,
4,
2,
2,
2,
2,
2,
4,
4,
5,
4,
4,
4,
4,
2,
2,
4,
6,
2,
2,
2,
4,
2,
3,
4,
4,
4,
4,
4,
2,
2,
4,
2,
6,
3,
3,
4,
4,
4,
2,
4,
2,
4,
1,
2,
3,
3,
2,
4,
2,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
6,
3,
3,
3,
4,
2,
4,
3,
4,
4,
3,
3,
3,
3,
4,
2,
2,
2,
5,
3,
3,
4,
4,
3,
2,
3,
2,
3,
4,
3,
2,
2,
2,
2,
4,
2,
3,
2,
2,
4,
4,
4,
5,
4,
4,
3,
2,
4,
2,
2,
2,
4,
4,
4,
6,
3,
2,
3,
3,
4,
2,
3,
3,
2,
4,
4,
2,
3,
4,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
3,
3,
3,
2,
2,
2,
2,
1,
2,
3,
5,
3,
4,
2,
2,
2,
4,
1,
2,
2,
3,
1,
3,
4,
2,
5,
4,
3,
3,
6,
3,
3,
4,
2,
2,
4,
4,
3,
5,
5,
3,
2,
2,
2,
3,
4,
2,
2,
6,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
4,
4,
4,
2,
2,
4,
2,
2,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
7,
3,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
4,
5,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
3,
4,
5,
4,
5,
4,
3,
2,
2,
2,
5,
3,
3,
5,
4,
3,
3,
3,
3,
4,
2,
2,
4,
4,
4,
4,
6,
2,
3,
5,
4,
4,
2,
3,
3,
3,
3,
2,
2,
3,
5,
4,
4,
4,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
3,
2,
3,
3,
3,
5,
5,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
4,
3,
2,
3,
5,
2,
2,
1,
2,
3,
4,
5,
3,
3,
3,
2,
2,
3,
3,
3,
4,
2,
2,
2,
2,
2,
4,
2,
4,
4,
3,
2,
3,
2,
2,
4,
4,
4,
2,
4,
3,
3,
3,
5,
4,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
2,
3,
3,
1,
2,
2,
1,
4,
4,
3,
3,
4,
4,
4,
4,
3,
6,
3,
3,
2,
3,
3,
3,
2,
2,
3,
2,
2,
3,
2,
3,
3,
5,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
2,
6,
4,
4,
2,
4,
4,
4,
2,
2,
3,
3,
4,
2,
4,
4,
3,
2,
2,
2,
3,
3,
4,
5,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
4,
2,
4,
3,
2,
2,
4,
2,
5,
4,
5,
4,
4,
3,
4,
5,
5,
2,
2,
5,
2,
4,
2,
1,
4,
6,
2,
2,
3,
2,
3,
3,
3,
6,
2,
5,
2,
4,
4,
2,
3,
2,
2,
3,
3,
2,
5,
4,
4,
3,
4,
4,
4,
4,
2,
4,
3,
5,
2,
2,
2,
3,
5,
5,
3,
3,
4,
5,
3,
4,
4,
2,
2,
5,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
4,
5,
2,
3,
2,
4,
2,
4,
5,
2,
2,
2,
3,
4,
5,
3,
3,
3,
3,
3,
5,
2,
4,
3,
3,
4,
3,
2,
2,
2,
4,
4,
2,
2,
4,
4,
2,
3,
5,
5,
2,
2,
4,
2,
2,
3,
5,
2,
2,
2,
4,
3,
3,
2,
3,
3,
3,
3,
4,
4,
2,
4,
6,
2,
4,
3,
3,
4,
4,
2,
3,
3,
2,
3,
3,
0,
3,
3,
3,
4,
4,
4,
2,
6,
4,
2,
3,
4,
3,
4,
5,
2,
2,
1,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
4,
5,
4,
3,
3,
2,
3,
3,
2,
2,
3,
4,
3,
4,
2,
5,
4,
4,
4,
5,
4,
3,
3,
4,
4,
2,
4,
4,
4,
4,
2,
3,
2,
4,
5,
5,
5,
3,
3,
3,
3,
4,
2,
5,
7,
3,
3,
2,
4,
2,
2,
2,
2,
2,
6,
2,
4,
5,
5,
4,
3,
2,
3,
3,
3,
4,
4,
3,
3,
3,
3,
2,
2,
4,
4,
5,
3,
5,
4,
3,
2,
2,
3,
3,
4,
4,
3,
3,
2,
3,
4,
2,
2,
2,
3,
3,
2,
3,
3,
2,
2,
2,
4,
2,
3,
3,
5,
5,
4,
4,
5,
3,
3,
3,
5,
3,
2,
3,
3,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
3,
3,
3,
2,
4,
3,
4,
4,
4,
3,
4,
2,
1,
2,
4,
3,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
4,
2,
3,
3,
6,
6,
3,
4,
4,
3,
2,
2,
4,
2,
2,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
2,
2,
4,
3,
5,
3,
5,
2,
4,
2,
4,
3,
3,
3,
3,
3,
1,
2,
2,
2,
4,
6,
4,
3,
2,
2,
4,
3,
7,
2,
2,
4,
2,
1,
1,
2,
4,
4,
3,
2,
3,
5,
4,
5,
3,
5,
5,
3,
5,
2,
5,
4,
3,
1,
2,
4,
3,
4,
2,
3,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
4,
2,
4,
2,
4,
4,
4,
4,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
1,
5,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
5,
2,
6,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
2,
6,
2,
2,
4,
5,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
5,
3,
5,
5,
4,
4,
3,
2,
1,
5,
4,
3,
3,
3,
2,
2,
3,
2,
2,
2,
4,
2,
4,
2,
3,
5,
2,
3,
2,
2,
2,
5,
2,
2,
2,
3,
4,
1,
5,
3,
4,
3,
3,
2,
2,
7,
5,
3,
3,
3,
3,
3,
3,
3,
5,
4,
4,
2,
4,
4,
3,
2,
2,
2,
2,
2,
3,
4,
2,
3,
4,
2,
2,
3,
3,
2,
2,
4,
5,
3,
4,
3,
5,
3,
2,
4,
3,
4,
2,
3,
3,
8,
3,
2,
2,
3,
2,
2,
3,
4,
4,
4,
3,
4,
2,
4,
3,
2,
2,
2,
4,
2,
4,
4,
2,
3,
2,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
5,
3,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
7,
4,
4,
4,
4,
4,
5,
5,
7,
2,
2,
2,
2,
4,
3,
2,
4,
4,
2,
2,
4,
4,
2,
4,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
4,
1,
2,
6,
4,
3,
5,
5,
3,
5,
5,
5,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
3,
3,
4,
2,
4,
2,
3,
2,
2,
2,
3,
4,
2,
2,
2,
2,
4,
7,
5,
3,
3,
5,
5,
7,
7,
4,
5,
5,
3,
5,
4,
4,
6,
4,
4,
3,
4,
2,
4,
3,
2,
2,
4,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
2,
3,
4,
4,
3,
4,
3,
3,
4,
4,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
6,
4,
5,
2,
4,
4,
4,
3,
2,
2,
3,
2,
2,
3,
2,
3,
2,
2,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
6,
2,
2,
2,
2,
3,
2,
4,
5,
3,
2,
4,
3,
3,
3,
5,
5,
3,
3,
3,
4,
4,
2,
3,
3,
2,
2,
4,
4,
2,
6,
2,
3,
3,
5,
4,
3,
3,
3,
3,
4,
4,
3,
3,
4,
2,
1,
2,
2,
4,
4,
4,
4,
3,
3,
6,
3,
4,
2,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
1,
3,
2,
2,
2,
4,
2,
3,
3,
4,
2,
3,
2,
2,
3,
4,
5,
2,
2,
2,
4,
2,
4,
4,
4,
3,
3,
4,
2,
2,
4,
2,
2,
3,
3,
4,
4,
4,
3,
3,
2,
4,
2,
2,
2,
2,
5,
2,
3,
2,
3,
3,
2,
3,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
5,
2,
3,
2,
3,
5,
3,
3,
4,
5,
5,
3,
3,
3,
2,
1,
3,
2,
4,
2,
2,
3,
3,
2,
3,
1,
2,
3,
3,
3,
3,
4,
2,
2,
3,
4,
3,
4,
5,
6,
5,
5,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
5,
5,
4,
2,
3,
4,
2,
3,
4,
7,
2,
5,
4,
4,
4,
1,
2,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
5,
4,
3,
1,
3,
1,
2,
4,
3,
2,
1,
4,
4,
4,
3,
4,
5,
3,
2,
2,
2,
1,
1,
1,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
3,
3,
4,
5,
3,
4,
4,
4,
2,
5,
5,
4,
4,
4,
4,
4,
4,
3,
4,
3,
4,
3,
2,
5,
4,
4,
4,
4,
4,
3,
4,
2,
3,
2,
3,
4,
3,
2,
2,
2,
2,
3,
3,
4,
3,
4,
3,
4,
4,
5,
3,
3,
3,
5,
5,
5,
4,
4,
4,
3,
2,
2,
2,
4,
3,
3,
5,
4,
4,
3,
3,
2,
3,
2,
2,
4,
3,
2,
3,
3,
4,
3,
4,
3,
3,
4,
2,
2,
2,
2,
3,
2,
4,
3,
2,
4,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
4,
4,
2,
2,
4,
2,
4,
2,
4,
2,
4,
4,
4,
3,
8,
2,
3,
3,
2,
2,
2,
4,
4,
3,
3,
2,
4,
3,
2,
2,
3,
3,
3,
2,
4,
4,
4,
2,
2,
4,
3,
2,
3,
2,
4,
4,
1,
3,
4,
4,
3,
7,
2,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
4,
5,
2,
3,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
4,
4,
4,
2,
6,
5,
2,
2,
2,
2,
4,
8,
3,
3,
4,
4,
4,
4,
3,
2,
3,
3,
3,
4,
4,
3,
3,
2,
2,
2,
5,
5,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
3,
6,
2,
4,
2,
7,
2,
3,
3,
3,
5,
3,
3,
2,
4,
4,
4,
4,
2,
5,
2,
2,
4,
3,
4,
4,
5,
4,
4,
4,
6,
3,
2,
5,
2,
4,
3,
3,
2,
3,
2,
3,
2,
5,
3,
4,
8,
3,
2,
3,
2,
4,
5,
3,
3,
3,
5,
3,
4,
2,
4,
4,
3,
3,
3,
4,
4,
3,
4,
3,
4,
4,
3,
4,
4,
2,
4,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
3,
3,
4,
4,
4,
5,
3,
4,
5,
3,
4,
2,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
1,
2,
4,
4,
2,
2,
2,
3,
3,
2,
4,
4,
2,
7,
5,
4,
2,
4,
2,
4,
4,
4,
2,
3,
1,
3,
3,
3,
3,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
3,
4,
3,
2,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
4,
3,
5,
2,
2,
2,
2,
4,
4,
2,
3,
2,
3,
3,
4,
3,
5,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
5,
3,
4,
2,
3,
3,
3,
2,
2,
2,
3,
2,
3,
1,
4,
4,
3,
2,
2,
3,
4,
5,
3,
4,
2,
2,
2,
3,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
4,
5,
2,
4,
4,
4,
4,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
3,
2,
4,
6,
2,
1,
2,
2,
2,
2,
1,
3,
5,
3,
2,
3,
2,
2,
2,
3,
4,
2,
1,
3,
1,
4,
2,
4,
4,
4,
3,
2,
4,
2,
2,
5,
4,
2,
6,
2,
2,
2,
4,
3,
4,
4,
4,
3,
1,
4,
4,
4,
3,
2,
4,
4,
4,
2,
2,
4,
2,
2,
2,
2,
3,
5,
2,
5,
4,
2,
2,
4,
2,
2,
5,
2,
2,
4,
4,
4,
2,
1,
2,
2,
2,
4,
2,
4,
4,
2,
4,
2,
3,
4,
4,
5,
3,
3,
4,
3,
2,
5,
2,
4,
2,
3,
2,
2,
4,
3,
4,
3,
2,
2,
2,
4,
4,
2,
4,
4,
3,
5,
3,
3,
3,
2,
2,
3,
3,
3,
4,
3,
4,
4,
4,
2,
3,
3,
4,
3,
4,
2,
3,
2,
4,
2,
2,
4,
2,
1,
2,
3,
3,
4,
3,
3,
3,
4,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
2,
2,
2,
3,
2,
3,
3,
3,
3,
2,
4,
4,
4,
2,
2,
2,
3,
4,
3,
4,
4,
2,
3,
4,
4,
3,
2,
3,
2,
2,
8,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
6,
4,
2,
4,
4,
4,
3,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
3,
3,
3,
3,
2,
2,
4,
3,
4,
4,
2,
3,
4,
2,
3,
5,
4,
1,
1,
3,
2,
2,
2,
3,
2,
2,
4,
2,
3,
2,
3,
2,
2,
6,
5,
4,
2,
4,
5,
4,
2,
3,
3,
2,
8,
2,
3,
4,
1,
4,
4,
3,
4,
3,
5,
3,
3,
11,
2,
2,
3,
5,
2,
3,
4,
2,
2,
4,
4,
2,
2,
2,
4,
3,
4,
4,
4,
2,
2,
4,
2,
4,
2,
2,
2,
3,
1,
5,
2,
2,
2,
2,
5,
3,
2,
3,
3,
2,
2,
2,
2,
4,
2,
4,
3,
4,
4,
4,
3,
3,
3,
4,
3,
2,
2,
2,
3,
3,
3,
3,
2,
4,
4,
4,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
1,
2,
4,
2,
3,
4,
3,
3,
4,
4,
4,
6,
4,
4,
3,
2,
4,
4,
1,
7,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
3,
2,
4,
3,
3,
4,
8,
4,
9,
4,
5,
3,
2,
2,
2,
4,
4,
1,
2,
3,
3,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
4,
2,
3,
2,
3,
2,
2,
3,
2,
5,
3,
2,
2,
2,
4,
4,
4,
4,
3,
4,
4,
3,
7,
4,
4,
3,
3,
4,
4,
3,
3,
2,
3,
2,
3,
2,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
4,
2,
4,
2,
4,
2,
4,
4,
8,
6,
4,
3,
2,
3,
2,
2,
2,
2,
4,
2,
4,
4,
5,
4,
3,
3,
2,
2,
6,
2,
3,
3,
3,
3,
5,
3,
3,
3,
2,
3,
2,
4,
2,
5,
3,
5,
2,
2,
2,
4,
4,
4,
2,
4,
3,
3,
7,
5,
7,
3,
4,
4,
3,
4,
3,
3,
3,
3,
2,
3,
2,
2,
5,
6,
6,
5,
4,
4,
2,
3,
4,
5,
5,
3,
2,
4,
2,
1,
2,
4,
3,
2,
3,
3,
2,
3,
3,
4,
4,
3,
2,
2,
2,
4,
3,
4,
3,
3,
3,
3,
7,
3,
3,
2,
2,
3,
4,
3,
3,
3,
3,
2,
3,
3,
3,
2,
4,
3,
2,
3,
4,
3,
3,
3,
4,
4,
4,
4,
5,
2,
2,
2,
5,
2,
3,
4,
4,
2,
2,
2,
4,
3,
4,
5,
5,
5,
2,
5,
4,
4,
3,
3,
5,
4,
4,
2,
3,
4,
4,
4,
6,
3,
2,
3,
2,
4,
2,
4,
4,
4,
4,
4,
3,
4,
4,
3,
3,
2,
4,
4,
2,
3,
2,
3,
8,
3,
4,
3,
4,
3,
3,
6,
4,
3,
3,
2,
2,
3,
3,
2,
3,
2,
4,
4,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
4,
4,
3,
3,
3,
2,
3,
3,
5,
5,
6,
4,
4,
4,
6,
2,
2,
2,
2,
4,
3,
3,
6,
6,
2,
4,
4,
2,
2,
4,
7,
3,
4,
3,
5,
4,
3,
3,
2,
2,
4,
2,
2,
5,
2,
2,
3,
4,
3,
2,
2,
4,
4,
3,
3,
3,
6,
3,
2,
4,
5,
2,
3,
4,
2,
2,
4,
2,
1,
3,
2,
4,
5,
5,
2,
4,
4,
3,
4,
4,
4,
4,
4,
3,
2,
2,
5,
4,
4,
2,
2,
2,
3,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
5,
3,
2,
2,
3,
4,
5,
4,
2,
4,
3,
2,
4,
4,
2,
4,
3,
3,
5,
3,
4,
5,
4,
4,
4,
4,
3,
3,
3,
2,
3,
2,
2,
2,
5,
3,
3,
3,
5,
2,
3,
3,
4,
5,
3,
2,
4,
3,
3,
3,
3,
7,
3,
2,
4,
4,
3,
5,
3,
2,
5,
4,
2,
4,
2,
2,
4,
2,
2,
4,
2,
3,
2,
3,
4,
4,
2,
4,
4,
3,
2,
5,
3,
4,
2,
1,
2,
2,
2,
4,
3,
3,
4,
2,
4,
2,
4,
2,
4,
4,
2,
2,
3,
1,
3,
5,
3,
3,
4,
2,
5,
2,
3,
2,
4,
4,
4,
4,
4,
2,
3,
3,
2,
2,
2,
3,
2,
6,
2,
2,
4,
3,
3,
3,
3,
4,
4,
3,
3,
3,
4,
4,
4,
4,
3,
2,
3,
3,
3,
2,
3,
2,
2,
2,
4,
3,
3,
2,
2,
3,
2,
2,
2,
3,
4,
2,
2,
4,
2,
2,
4,
4,
2,
3,
2,
2,
3,
5,
5,
3,
2,
2,
2,
2,
2,
6,
6,
6,
7,
8,
4,
3,
2,
3,
3,
3,
3,
4,
3,
3,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
6,
2,
4,
2,
2,
2,
4,
4,
4,
2,
5,
4,
2,
3,
4,
3,
4,
2,
2,
2,
4,
4,
4,
7,
2,
3,
3,
4,
2,
2,
1,
3,
2,
2,
2,
4,
4,
6,
3,
2,
4,
3,
4,
6,
3,
5,
3,
2,
5,
4,
3,
6,
4,
5,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
5,
2,
3,
3,
3,
2,
2,
1,
2,
2,
4,
4,
4,
4,
2,
4,
5,
6,
6,
4,
4,
4,
4,
1,
4,
4,
3,
3,
3,
2,
3,
2,
3,
3,
4,
2,
4,
2,
3,
2,
2,
4,
3,
4,
4,
4,
3,
3,
2,
3,
4,
2,
3,
2,
4,
3,
2,
5,
5,
2,
2,
2,
3,
5,
2,
5,
2,
2,
3,
3,
2,
4,
4,
3,
4,
4,
3,
4,
4,
4,
2,
2,
4,
3,
2,
2,
2,
3,
4,
3,
2,
3,
2,
1,
3,
4,
4,
4,
2,
3,
4,
4,
3,
3,
3,
3,
8,
4,
3,
2,
3,
3,
3,
6,
2,
4,
3,
3,
4,
3,
5,
2,
2,
2,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
6,
3,
3,
2,
4,
4,
2,
2,
3,
3,
2,
4,
3,
4,
3,
4,
2,
4,
4,
5,
2,
4,
3,
4,
2,
4,
3,
2,
5,
3,
3,
3,
3,
3,
3,
2,
2,
2,
1,
1,
3,
4,
1,
1,
1,
2,
2,
2,
2,
2,
2,
4,
5,
4,
4,
3,
5,
3,
4,
2,
5,
3,
3,
3,
2,
3,
2,
2,
2,
4,
3,
3,
3,
5,
3,
6,
5,
3,
2,
3,
3,
4,
4,
3,
3,
5,
6,
4,
3,
4,
4,
4,
3,
3,
2,
3,
2,
3,
7,
5,
2,
2,
2,
4,
4,
4,
3,
4,
4,
4,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
6,
7,
4,
5,
2,
5,
3,
5,
4,
3,
4,
2,
4,
4,
4,
2,
4,
1,
1,
1,
1,
1,
1,
4,
4,
4,
4,
4,
1,
4,
4,
6,
4,
4,
2,
4,
4,
3,
4,
3,
2,
2,
3,
6,
3,
3,
6,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
3,
2,
5,
3,
2,
3,
4,
7,
5,
3,
4,
5,
4,
5,
3,
5,
4,
4,
4,
4,
4,
4,
3,
1,
3,
3,
3,
3,
2,
7,
3,
4,
3,
2,
6,
6,
6,
3,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
1,
4,
3,
2,
2,
3,
2,
3,
2,
5,
4,
2,
3,
2,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
6,
6,
2,
2,
2,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
1,
3,
2,
2,
5,
3,
3,
3,
3,
3,
2,
5,
3,
2,
3,
2,
4,
3,
2,
3,
3,
3,
2,
4,
4,
2,
4,
2,
2,
2,
3,
4,
3,
3,
2,
2,
3,
4,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
4,
3,
4,
3,
3,
2,
2,
3,
5,
3,
4,
3,
4,
2,
3,
2,
2,
3,
6,
4,
4,
2,
7,
4,
5,
5,
5,
3,
3,
2,
3,
1,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
3,
2,
2,
3,
2,
4,
2,
6,
4,
4,
2,
2,
2,
2,
4,
2,
2,
3,
6,
2,
2,
2,
2,
4,
2,
5,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
5,
8,
2,
3,
3,
2,
3,
2,
3,
3,
4,
5,
3,
3,
4,
2,
3,
3,
2,
5,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
1,
2,
3,
3,
3,
4,
4,
3,
4,
4,
4,
5,
4,
3,
3,
3,
2,
3,
3,
2,
3,
3,
4,
4,
3,
2,
4,
3,
3,
7,
1,
2,
4,
4,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
4,
4,
2,
3,
4,
2,
4,
4,
2,
3,
3,
3,
2,
2,
4,
4,
4,
4,
3,
4,
2,
2,
2,
5,
3,
2,
4,
5,
7,
4,
4,
5,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
4,
4,
4,
6,
4,
4,
4,
3,
3,
3,
5,
9,
4,
4,
2,
4,
3,
1,
3,
2,
3,
2,
1,
3,
3,
5,
5,
5,
5,
5,
3,
4,
3,
3,
3,
2,
2,
3,
4,
4,
4,
3,
2,
7,
4,
2,
3,
3,
4,
3,
7,
4,
3,
3,
4,
4,
1,
2,
4,
4,
2,
3,
5,
1,
3,
2,
4,
2,
2,
2,
2,
4,
2,
5,
3,
6,
3,
3,
4,
4,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
6,
3,
2,
4,
4,
2,
3,
2,
4,
5,
3,
4,
3,
4,
4,
4,
4,
3,
4,
3,
3,
5,
4,
4,
6,
3,
3,
3,
5,
4,
4,
3,
4,
4,
3,
2,
2,
1,
4,
4,
2,
2,
2,
3,
4,
3,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
5,
2,
3,
3,
3,
3,
3,
3,
4,
1,
2,
2,
2,
4,
4,
2,
2,
4,
2,
4,
2,
2,
3,
3,
3,
3,
1,
2,
3,
4,
2,
2,
2,
5,
5,
5,
3,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
5,
4,
4,
2,
5,
2,
3,
3,
2,
2,
2,
3,
3,
5,
2,
3,
3,
2,
4,
3,
2,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
4,
2,
2,
4,
4,
7,
7,
3,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
4,
4,
3,
3,
2,
5,
2,
4,
5,
5,
5,
2,
2,
2,
2,
2,
5,
2,
5,
2,
4,
2,
4,
2,
4,
4,
5,
4,
6,
3,
3,
2,
3,
4,
4,
3,
4,
5,
3,
2,
2,
2,
5,
2,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
3,
2,
4,
2,
2,
4,
3,
4,
5,
5,
4,
3,
3,
4,
5,
4,
4,
3,
3,
4,
3,
3,
4,
2,
4,
2,
3,
4,
2,
2,
3,
4,
4,
4,
3,
3,
2,
3,
3,
5,
3,
3,
3,
3,
6,
4,
3,
3,
3,
4,
3,
4,
4,
3,
3,
2,
5,
6,
3,
4,
2,
2,
4,
3,
3,
7,
2,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
6,
2,
3,
2,
4,
4,
4,
4,
3,
3,
3,
1,
2,
3,
3,
3,
2,
4,
4,
4,
2,
5,
3,
2,
3,
3,
3,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
5,
3,
3,
2,
2,
3,
6,
3,
4,
4,
3,
3,
3,
3,
5,
5,
3,
2,
4,
4,
4,
3,
3,
3,
4,
3,
3,
3,
2,
2,
2,
3,
2,
2,
2,
4,
4,
3,
2,
2,
2,
2,
3,
4,
3,
3,
4,
4,
2,
8,
4,
3,
3,
7,
4,
3,
3,
4,
2,
4,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
2,
3,
3,
3,
4,
2,
6,
3,
4,
3,
3,
4,
4,
3,
2,
4,
2,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
3,
3,
2,
1,
2,
3,
3,
2,
4,
4,
4,
4,
3,
2,
5,
2,
3,
2,
3,
3,
3,
3,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
5,
3,
3,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
2,
2,
3,
2,
2,
5,
4,
4,
2,
3,
2,
3,
3,
4,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
1,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
6,
6,
6,
6,
4,
2,
2,
2,
5,
4,
4,
3,
3,
3,
2,
3,
2,
3,
3,
6,
4,
3,
6,
6,
4,
3,
3,
3,
5,
3,
1,
3,
2,
3,
3,
2,
3,
4,
4,
4,
3,
2,
4,
4,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
7,
4,
4,
4,
2,
4,
3,
2,
4,
4,
5,
4,
4,
4,
2,
2,
2,
3,
2,
2,
4,
3,
2,
2,
2,
2,
2,
4,
4,
2,
3,
3,
3,
4,
8,
5,
4,
3,
2,
3,
3,
6,
4,
4,
5,
6,
4,
4,
2,
4,
4,
4,
4,
4,
3,
2,
4,
1,
4,
2,
2,
3,
4,
2,
2,
4,
2,
4,
4,
4,
4,
3,
4,
3,
2,
4,
4,
2,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
3,
3,
4,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
1,
4,
2,
1,
3,
2,
2,
3,
2,
3,
2,
3,
3,
3,
3,
3,
2,
5,
5,
2,
2,
2,
4,
7,
6,
4,
1,
5,
3,
2,
3,
3,
2,
4,
4,
4,
4,
6,
7,
5,
2,
3,
2,
3,
2,
2,
3,
2,
1,
3,
4,
5,
3,
3,
3,
2,
4,
2,
3,
4,
2,
2,
2,
2,
3,
2,
3,
5,
3,
3,
4,
4,
4,
4,
7,
2,
2,
2,
4,
4,
3,
3,
4,
4,
3,
4,
3,
2,
2,
4,
3,
2,
4,
3,
2,
3,
3,
2,
3,
4,
2,
4,
4,
4,
4,
2,
2,
3,
2,
2,
8,
4,
4,
2,
4,
5,
4,
4,
3,
3,
3,
3,
5,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
2,
2,
3,
3,
2,
4,
3,
2,
2,
2,
6,
3,
3,
4,
3,
3,
4,
2,
2,
3,
5,
5,
3,
5,
3,
3,
4,
4,
4,
3,
7,
4,
2,
2,
4,
4,
4,
2,
3,
3,
3,
2,
4,
2,
6,
3,
4,
4,
4,
4,
3,
3,
2,
4,
2,
2,
3,
3,
3,
3,
3,
2,
2,
4,
4,
2,
3,
2,
2,
5,
4,
4,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
2,
3,
4,
5,
2,
3,
3,
2,
2,
3,
4,
4,
4,
4,
4,
3,
3,
3,
5,
9,
4,
2,
2,
4,
3,
2,
4,
4,
4,
3,
4,
4,
2,
4,
4,
2,
2,
4,
4,
4,
4,
5,
4,
2,
3,
4,
3,
3,
4,
4,
3,
3,
5,
3,
4,
4,
2,
3,
2,
2,
3,
6,
4,
4,
2,
4,
5,
4,
2,
6,
4,
4,
3,
2,
1,
3,
3,
3,
2,
3,
3,
4,
4,
5,
2,
3,
4,
4,
4,
4,
4,
2,
5,
2,
4,
2,
2,
4,
5,
1,
2,
5,
2,
4,
6,
3,
3,
3,
4,
4,
3,
2,
2,
3,
1,
5,
3,
4,
4,
4,
4,
7,
3,
4,
2,
5,
3,
3,
2,
3,
4,
4,
3,
4,
3,
9,
7,
2,
3,
2,
3,
2,
2,
3,
4,
3,
3,
4,
7,
3,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
5,
4,
2,
6,
2,
4,
2,
2,
2,
4,
2,
2,
2,
3,
4,
2,
3,
2,
5,
3,
5,
5,
2,
3,
3,
3,
3,
2,
2,
2,
4,
2,
2,
2,
2,
3,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
3,
2,
2,
3,
3,
4,
2,
4,
2,
2,
6,
3,
4,
2,
2,
4,
3,
3,
2,
3,
2,
2,
4,
2,
3,
4,
4,
2,
4,
2,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
4,
3,
2,
4,
2,
5,
4,
4,
2,
2,
2,
2,
3,
4,
4,
4,
2,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
5,
5,
4,
3,
4,
3,
4,
2,
2,
2,
3,
2,
3,
3,
3,
4,
3,
3,
5,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
3,
4,
5,
2,
6,
3,
2,
4,
4,
4,
2,
4,
4,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
3,
4,
2,
2,
4,
2,
3,
3,
3,
2,
4,
4,
2,
3,
2,
4,
4,
4,
4,
7,
4,
3,
3,
4,
4,
4,
4,
2,
2,
3,
2,
4,
4,
3,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
4,
2,
2,
3,
3,
2,
5,
5,
3,
3,
4,
4,
2,
3,
5,
4,
4,
4,
4,
4,
3,
2,
3,
4,
2,
2,
2,
2,
2,
2,
4,
2,
5,
2,
3,
3,
6,
2,
3,
2,
2,
2,
5,
7,
2,
2,
2,
4,
4,
2,
2,
4,
2,
3,
4,
2,
3,
4,
3,
4,
2,
4,
2,
2,
2,
4,
3,
4,
4,
2,
4,
3,
3,
3,
2,
4,
3,
2,
4,
4,
3,
3,
4,
2,
1,
1,
2,
3,
1,
1,
9,
4,
5,
5,
5,
1,
1,
1,
1,
2,
4,
1,
4,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
5,
2,
4,
2,
4,
4,
4,
2,
4,
4,
2,
3,
4,
4,
3,
3,
3,
3,
2,
2,
6,
4,
4,
2,
4,
4,
4,
3,
3,
2,
3,
4,
4,
4,
3,
2,
2,
2,
5,
3,
2,
4,
2,
2,
5,
2,
2,
2,
3,
5,
3,
3,
5,
5,
3,
3,
2,
3,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
4,
2,
4,
2,
4,
3,
4,
3,
3,
3,
3,
2,
2,
4,
2,
1,
4,
4,
4,
5,
4,
3,
3,
6,
3,
3,
4,
3,
4,
4,
3,
2,
2,
5,
2,
2,
5,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
2,
3,
2,
2,
4,
6,
4,
4,
6,
4,
4,
4,
2,
4,
2,
2,
6,
3,
4,
2,
3,
2,
2,
2,
2,
2,
3,
3,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
3,
2,
2,
4,
3,
2,
2,
2,
1,
4,
4,
2,
7,
2,
3,
3,
3,
4,
2,
3,
2,
3,
4,
3,
5,
2,
3,
2,
2,
4,
2,
4,
4,
3,
2,
3,
2,
4,
4,
6,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
4,
3,
2,
2,
4,
5,
3,
3,
2,
2,
2,
4,
3,
4,
2,
4,
3,
4,
4,
6,
3,
3,
3,
3,
4,
3,
5,
3,
3,
2,
3,
2,
3,
3,
7,
4,
4,
4,
3,
3,
4,
1,
1,
1,
4,
3,
4,
4,
4,
6,
4,
4,
5,
3,
4,
3,
3,
5,
3,
4,
2,
2,
3,
6,
4,
4,
4,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
1,
2,
3,
4,
2,
3,
2,
4,
3,
2,
2,
3,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
4,
3,
5,
5,
4,
3,
4,
3,
3,
7,
3,
3,
3,
3,
3,
3,
3,
7,
7,
3,
4,
2,
3,
3,
4,
4,
4,
4,
2,
4,
3,
6,
4,
4,
5,
4,
4,
3,
4,
4,
2,
5,
2,
4,
2,
4,
3,
2,
2,
2,
2,
3,
3,
3,
3,
2,
5,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
2,
4,
5,
7,
3,
4,
4,
4,
2,
2,
2,
2,
3,
2,
4,
1,
2,
3,
3,
5,
4,
6,
2,
3,
2,
4,
4,
5,
3,
4,
6,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
1,
2,
2,
2,
2,
3,
3,
5,
4,
4,
4,
4,
2,
2,
4,
5,
3,
4,
2,
4,
2,
3,
3,
3,
3,
4,
6,
2,
3,
2,
2,
3,
2,
2,
4,
2,
3,
2,
3,
3,
2,
2,
3,
2,
4,
2,
3,
5,
3,
3,
5,
2,
3,
2,
2,
2,
2,
2,
3,
2,
3,
6,
4,
5,
6,
3,
2,
4,
4,
2,
2,
2,
2,
3,
5,
5,
6,
2,
2,
2,
2,
2,
4,
3,
2,
3,
3,
3,
3,
4,
4,
2,
4,
6,
4,
6,
6,
4,
4,
2,
3,
2,
5,
3,
3,
2,
3,
3,
3,
5,
4,
4,
2,
2,
3,
4,
2,
3,
5,
2,
5,
2,
4,
2,
2,
2,
3,
4,
6,
3,
2,
3,
2,
2,
3,
3,
3,
4,
4,
4,
6,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
5,
4,
1,
2,
2,
2,
4,
4,
3,
2,
2,
2,
4,
4,
2,
4,
4,
2,
2,
3,
4,
2,
6,
4,
1,
4,
2,
2,
4,
4,
4,
2,
2,
5,
5,
3,
2,
2,
2,
5,
4,
4,
2,
4,
4,
2,
4,
4,
2,
2,
3,
3,
3,
4,
4,
4,
4,
3,
2,
5,
3,
5,
4,
2,
2,
3,
2,
3,
7,
5,
4,
3,
3,
4,
3,
4,
3,
5,
4,
3,
4,
3,
3,
3,
3,
1,
4,
5,
2,
2,
2,
5,
6,
6,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
2,
2,
2,
2,
3,
2,
2,
4,
2,
2,
4,
2,
3,
3,
2,
2,
4,
1,
2,
2,
2,
4,
4,
2,
4,
5,
3,
2,
3,
3,
2,
4,
2,
4,
2,
4,
3,
3,
4,
2,
2,
4,
4,
2,
2,
2,
3,
3,
2,
3,
3,
2,
2,
2,
3,
4,
4,
4,
3,
4,
4,
4,
3,
5,
4,
3,
3,
2,
2,
4,
2,
3,
2,
2,
5,
5,
5,
4,
2,
3,
2,
4,
3,
3,
4,
2,
4,
2,
2,
5,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
2,
2,
2,
4,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
3,
2,
3,
4,
3,
3,
4,
2,
2,
5,
2,
3,
4,
1,
4,
3,
2,
2,
2,
2,
4,
3,
3,
4,
2,
3,
3,
4,
2,
2,
3,
3,
3,
5,
3,
3,
2,
2,
2,
2,
1,
4,
4,
3,
2,
2,
1,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
5,
4,
3,
4,
2,
2,
2,
2,
3,
2,
2,
2,
6,
2,
2,
2,
2,
4,
2,
1,
2,
4,
3,
3,
2,
2,
2,
3,
5,
5,
4,
4,
3,
4,
2,
2,
2,
3,
3,
2,
4,
4,
4,
3,
4,
2,
3,
2,
2,
3,
4,
1,
5,
5,
4,
2,
4,
2,
3,
3,
4,
2,
2,
5,
4,
4,
2,
3,
3,
2,
2,
3,
5,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
4,
4,
6,
4,
3,
4,
2,
3,
1,
5,
2,
4,
4,
4,
4,
2,
4,
4,
5,
1,
1,
4,
5,
2,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
3,
3,
5,
4,
3,
4,
4,
2,
2,
3,
2,
2,
4,
4,
4,
2,
4,
4,
2,
3,
6,
1,
4,
6,
3,
5,
2,
2,
2,
2,
3,
3,
5,
4,
2,
2,
5,
4,
3,
5,
4,
3,
4,
4,
5,
3,
3,
3,
2,
2,
2,
4,
3,
2,
2,
2,
2,
1,
3,
2,
5,
3,
5,
3,
6,
2,
2,
2,
3,
2,
4,
2,
2,
1,
2,
2,
4,
3,
5,
2,
3,
2,
2,
4,
4,
2,
2,
4,
4,
4,
3,
4,
2,
3,
3,
2,
2,
3,
4,
4,
4,
5,
2,
3,
4,
4,
4,
2,
4,
6,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
5,
5,
2,
2,
2,
3,
3,
3,
3,
3,
2,
5,
2,
2,
3,
7,
5,
4,
6,
2,
4,
4,
2,
5,
3,
4,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
3,
2,
2,
4,
4,
4,
2,
2,
3,
3,
3,
4,
2,
3,
2,
5,
2,
2,
4,
2,
4,
5,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
5,
4,
3,
2,
4,
4,
2,
3,
3,
2,
2,
6,
4,
4,
4,
3,
3,
3,
4,
2,
3,
4,
3,
2,
4,
4,
6,
2,
4,
4,
4,
3,
3,
5,
5,
3,
2,
2,
2,
2,
2,
3,
2,
2,
4,
5,
4,
2,
2,
2,
4,
2,
5,
2,
4,
4,
3,
2,
3,
4,
2,
2,
4,
2,
2,
2,
3,
2,
3,
2,
4,
3,
4,
2,
4,
4,
4,
4,
5,
5,
5,
1,
3,
3,
2,
4,
4,
5,
5,
4,
4,
4,
3,
2,
3,
2,
2,
2,
2,
4,
4,
5,
6,
6,
3,
3,
5,
3,
4,
4,
4,
4,
2,
3,
4,
3,
4,
4,
2,
4,
2,
3,
2,
2,
3,
3,
6,
2,
2,
2,
1,
2,
2,
6,
1,
3,
2,
5,
1,
1,
1,
3,
2,
3,
3,
3,
3,
3,
5,
2,
4,
2,
4,
4,
4,
5,
3,
2,
2,
2,
3,
3,
2,
4,
2,
4,
3,
5,
5,
3,
5,
5,
4,
5,
4,
4,
2,
2,
3,
3,
4,
2,
4,
5,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
3,
2,
5,
5,
3,
2,
3,
4,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
2,
3,
2,
4,
2,
5,
3,
2,
3,
4,
4,
4,
3,
4,
2,
4,
5,
2,
2,
1,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
5,
2,
3,
2,
1,
7,
6,
2,
4,
2,
4,
4,
4,
6,
6,
4,
4,
2,
2,
2,
5,
4,
5,
4,
2,
4,
2,
5,
4,
5,
5,
5,
5,
3,
5,
5,
3,
3,
2,
4,
3,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
3,
2,
4,
6,
6,
2,
2,
2,
5,
5,
2,
5,
3,
2,
4,
3,
3,
3,
4,
4,
2,
4,
2,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
3,
2,
3,
6,
7,
2,
2,
4,
4,
2,
3,
3,
3,
4,
1,
4,
3,
3,
4,
4,
4,
3,
3,
4,
5,
2,
2,
3,
2,
4,
5,
5,
4,
5,
3,
3,
3,
5,
2,
2,
3,
2,
2,
2,
4,
4,
3,
2,
2,
4,
4,
4,
4,
1,
2,
2,
3,
4,
3,
3,
7,
3,
3,
3,
3,
2,
3,
3,
4,
2,
3,
3,
4,
3,
3,
3,
2,
4,
4,
4,
4,
3,
4,
4,
2,
4,
4,
5,
4,
7,
4,
4,
3,
3,
3,
3,
4,
3,
2,
2,
4,
4,
3,
4,
4,
3,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
3,
2,
4,
4,
3,
2,
3,
6,
2,
2,
2,
2,
2,
4,
4,
4,
8,
4,
4,
4,
2,
4,
3,
4,
3,
5,
2,
5,
2,
4,
1,
3,
2,
2,
2,
2,
3,
4,
4,
4,
2,
8,
2,
3,
3,
5,
3,
3,
3,
4,
2,
2,
3,
4,
3,
4,
4,
2,
1,
3,
3,
2,
2,
4,
2,
4,
2,
2,
2,
5,
4,
4,
3,
2,
1,
4,
4,
4,
4,
1,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
1,
3,
3,
3,
2,
3,
3,
4,
4,
2,
6,
3,
2,
4,
2,
2,
2,
2,
2,
3,
1,
2,
3,
3,
3,
3,
4,
3,
4,
4,
4,
2,
1,
3,
3,
3,
4,
2,
6,
2,
3,
2,
3,
4,
4,
2,
4,
4,
4,
4,
4,
3,
2,
9,
5,
4,
4,
4,
4,
2,
4,
4,
4,
3,
4,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
3,
4,
3,
3,
2,
3,
2,
3,
2,
4,
4,
4,
3,
4,
4,
2,
2,
3,
3,
3,
4,
3,
4,
4,
3,
2,
2,
4,
3,
2,
4,
4,
2,
4,
3,
4,
2,
4,
5,
4,
4,
3,
4,
4,
4,
2,
4,
4,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
5,
3,
3,
2,
3,
4,
4,
3,
4,
3,
3,
3,
2,
3,
5,
3,
3,
3,
3,
4,
4,
4,
2,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
1,
4,
4,
2,
2,
4,
2,
3,
4,
3,
2,
7,
3,
2,
2,
4,
3,
4,
3,
4,
3,
3,
4,
4,
4,
4,
2,
4,
3,
4,
8,
4,
3,
2,
2,
4,
4,
3,
3,
3,
4,
3,
4,
2,
2,
3,
3,
3,
4,
6,
3,
3,
4,
3,
3,
4,
2,
5,
4,
5,
4,
5,
7,
2,
4,
2,
7,
8,
3,
5,
5,
2,
3,
3,
2,
2,
4,
3,
3,
3,
3,
3,
5,
5,
5,
3,
3,
3,
4,
2,
4,
3,
2,
2,
3,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
3,
4,
2,
3,
3,
3,
2,
4,
3,
4,
2,
4,
2,
3,
4,
3,
2,
6,
2,
2,
3,
2,
2,
4,
4,
2,
3,
4,
4,
2,
4,
3,
3,
4,
3,
2,
2,
3,
3,
3,
2,
3,
5,
4,
5,
3,
2,
2,
4,
2,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
3,
3,
2,
2,
4,
4,
2,
2,
4,
4,
3,
2,
3,
3,
2,
3,
5,
3,
3,
4,
4,
2,
4,
4,
4,
2,
4,
3,
3,
4,
4,
2,
3,
4,
3,
4,
4,
1,
3,
4,
5,
5,
2,
4,
4,
4,
4,
4,
2,
4,
4,
8,
3,
3,
3,
2,
5,
5,
2,
6,
3,
3,
5,
2,
4,
6,
4,
4,
4,
2,
3,
2,
2,
4,
3,
4,
4,
4,
4,
5,
4,
6,
4,
2,
4,
4,
2,
4,
4,
2,
2,
5,
4,
4,
4,
3,
4,
4,
5,
4,
4,
4,
1,
2,
3,
3,
4,
3,
4,
5,
4,
3,
4,
3,
6,
3,
3,
5,
2,
3,
2,
3,
4,
4,
2,
4,
4,
4,
4,
2,
3,
5,
4,
4,
4,
4,
3,
4,
4,
4,
4,
5,
2,
4,
2,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
5,
4,
3,
4,
4,
4,
4,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
2,
4,
4,
5,
5,
3,
2,
2,
3,
5,
3,
2,
1,
2,
3,
4,
4,
4,
4,
3,
3,
5,
4,
2,
3,
3,
3,
4,
4,
3,
3,
2,
4,
2,
2,
2,
3,
2,
4,
3,
3,
5,
5,
4,
4,
3,
2,
5,
2,
4,
2,
5,
3,
4,
3,
3,
4,
4,
4,
2,
4,
3,
4,
1,
4,
2,
2,
4,
2,
4,
3,
5,
4,
4,
6,
3,
4,
3,
3,
3,
2,
3,
2,
4,
2,
5,
4,
4,
4,
3,
2,
3,
4,
4,
2,
4,
3,
3,
3,
5,
2,
2,
6,
3,
4,
4,
2,
3,
3,
3,
3,
4,
3,
5,
5,
2,
5,
3,
3,
5,
4,
4,
3,
4,
4,
4,
3,
2,
5,
6,
3,
3,
3,
3,
2,
4,
4,
2,
2,
1,
4,
6,
6,
3,
6,
3,
3,
3,
4,
3,
2,
3,
2,
3,
3,
4,
5,
2,
2,
4,
4,
1,
2,
2,
4,
4,
2,
2,
2,
4,
3,
4,
2,
5,
4,
4,
5,
4,
2,
1,
3,
4,
2,
5,
4,
4,
4,
4,
4,
4,
4,
4,
2,
7,
7,
6,
6,
4,
4,
4,
4,
3,
2,
2,
3,
3,
3,
3,
3,
4,
2,
2,
4,
2,
4,
3,
4,
4,
3,
2,
4,
4,
2,
4,
4,
4,
4,
4,
1,
2,
2,
4,
2,
3,
4,
4,
2,
4,
3,
5,
3,
4,
2,
2,
4,
4,
3,
7,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
3,
3,
3,
2,
4,
2,
4,
2,
4,
2,
4,
4,
4,
4,
4,
5,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
5,
2,
4,
1,
4,
4,
2,
4,
2,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
2,
2,
2,
3,
2,
4,
4,
4,
4,
2,
4,
4,
4,
5,
5,
4,
2,
4,
3,
3,
1,
2,
1,
3,
4,
3,
10,
5,
5,
2,
3,
3,
2,
2,
7,
3,
3,
3,
3,
7,
3,
2,
4,
4,
3,
4,
4,
4,
3,
3,
2,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
8,
4,
4,
4,
1,
3,
3,
2,
4,
4,
4,
4,
6,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
5,
3,
3,
3,
2,
3,
3,
2,
3,
4,
2,
3,
3,
4,
2,
2,
5,
2,
2,
2,
2,
3,
3,
4,
4,
2,
3,
3,
1,
4,
4,
4,
2,
4,
5,
2,
4,
2,
2,
3,
2,
4,
2,
1,
2,
2,
2,
3,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
3,
4,
4,
4,
3,
2,
2,
4,
4,
4,
4,
4,
4,
3,
4,
3,
4,
3,
3,
3,
2,
2,
2,
3,
4,
4,
3,
2,
3,
4,
4,
4,
4,
3,
4,
3,
2,
4,
4,
2,
2,
2,
1,
2,
3,
2,
5,
3,
2,
4,
4,
4,
6,
4,
4,
3,
3,
3,
2,
4,
2,
3,
6,
2,
4,
3,
2,
4,
3,
3,
4,
2,
4,
2,
3,
4,
3,
4,
4,
4,
4,
4,
4,
5,
5,
4,
4,
2,
4,
4,
5,
3,
4,
4,
3,
1,
2,
3,
4,
5,
4,
5,
4,
3,
6,
3,
2,
1,
2,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
3,
4,
3,
7,
3,
2,
4,
3,
4,
5,
4,
4,
2,
4,
2,
3,
4,
2,
2,
2,
3,
5,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
5,
3,
1,
4,
3,
3,
3,
2,
3,
2,
3,
3,
5,
3,
3,
2,
4,
4,
2,
4,
4,
4,
4,
2,
2,
4,
3,
2,
4,
3,
3,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
4,
2,
4,
2,
2,
3,
2,
2,
4,
4,
2,
7,
7,
5,
6,
5,
4,
4,
4,
2,
4,
2,
2,
2,
3,
2,
5,
4,
4,
3,
3,
3,
3,
4,
3,
3,
4,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
4,
3,
4,
4,
3,
5,
6,
4,
2,
4,
2,
5,
4,
4,
4,
2,
2,
3,
3,
3,
3,
2,
2,
4,
3,
6,
2,
4,
5,
3,
4,
3,
4,
2,
2,
2,
3,
2,
2,
3,
6,
4,
2,
4,
4,
3,
3,
3,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
6,
6,
3,
3,
3,
5,
2,
3,
3,
4,
2,
2,
4,
4,
4,
4,
2,
4,
2,
3,
2,
2,
2,
1,
2,
2,
3,
3,
5,
4,
2,
2,
2,
2,
5,
3,
2,
3,
2,
3,
3,
3,
4,
1,
2,
4,
1,
4,
4,
5,
4,
4,
2,
2,
3,
2,
3,
3,
5,
2,
4,
4,
4,
4,
3,
4,
3,
5,
5,
4,
4,
4,
4,
6,
2,
2,
3,
4,
3,
2,
4,
4,
4,
4,
3,
2,
2,
2,
4,
4,
4,
2,
2,
3,
3,
2,
2,
3,
3,
2,
3,
4,
4,
2,
4,
4,
5,
1,
4,
2,
2,
4,
4,
4,
4,
4,
4,
8,
3,
4,
4,
4,
4,
4,
2,
2,
3,
4,
2,
4,
4,
4,
2,
2,
2,
7,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
5,
3,
5,
3,
3,
1,
4,
2,
4,
3,
3,
3,
3,
2,
2,
4,
3,
3,
2,
2,
3,
2,
2,
2,
4,
3,
4,
2,
2,
4,
4,
7,
3,
3,
3,
2,
4,
2,
4,
2,
2,
2,
4,
4,
4,
5,
4,
2,
4,
4,
2,
4,
2,
4,
3,
2,
3,
4,
2,
2,
3,
4,
4,
4,
4,
3,
6,
5,
4,
4,
4,
4,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
7,
3,
3,
2,
4,
4,
4,
2,
2,
2,
2,
4,
3,
3,
5,
6,
3,
4,
6,
7,
3,
3,
6,
3,
3,
5,
5,
2,
3,
3,
2,
2,
2,
3,
4,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
4,
3,
2,
2,
3,
3,
2,
4,
2,
2,
2,
3,
4,
3,
3,
4,
3,
4,
1,
3,
3,
3,
2,
4,
4,
5,
4,
4,
2,
2,
2,
4,
2,
5,
3,
3,
3,
3,
2,
2,
4,
3,
3,
2,
4,
4,
4,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
4,
3,
5,
5,
4,
4,
4,
4,
4,
4,
3,
5,
3,
2,
4,
3,
3,
3,
3,
3,
3,
4,
2,
4,
3,
5,
3,
6,
2,
5,
2,
4,
4,
2,
2,
2,
2,
2,
3,
4,
3,
5,
4,
3,
2,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
3,
2,
3,
2,
4,
3,
4,
2,
7,
6,
4,
4,
4,
2,
3,
3,
3,
3,
3,
4,
4,
2,
4,
3,
4,
4,
2,
2,
2,
3,
5,
4,
2,
2,
6,
3,
3,
5,
6,
2,
4,
4,
3,
4,
7,
7,
4,
5,
3,
4,
2,
4,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
4,
4,
4,
4,
3,
4,
4,
2,
4,
4,
2,
3,
2,
2,
3,
4,
2,
2,
5,
3,
4,
2,
4,
6,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
5,
3,
2,
2,
2,
2,
2,
3,
2,
4,
3,
3,
3,
5,
5,
5,
5,
5,
4,
4,
3,
4,
4,
5,
2,
3,
5,
5,
4,
1,
5,
5,
5,
3,
4,
2,
2,
2,
3,
6,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
1,
2,
2,
2,
5,
2,
4,
5,
2,
4,
4,
3,
2,
4,
4,
7,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
5,
2,
2,
3,
4,
4,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
4,
4,
4,
3,
3,
4,
2,
2,
3,
2,
2,
3,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
3,
3,
4,
3,
2,
3,
4,
4,
4,
4,
4,
3,
2,
4,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
5,
2,
2,
5,
1,
2,
4,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
3,
3,
4,
4,
4,
4,
4,
2,
3,
4,
3,
5,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
2,
3,
1,
2,
5,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
4,
3,
7,
3,
3,
3,
2,
3,
2,
4,
4,
2,
5,
2,
2,
4,
3,
4,
4,
3,
2,
3,
2,
3,
5,
5,
5,
4,
2,
2,
2,
2,
3,
4,
4,
6,
3,
5,
2,
2,
2,
3,
3,
2,
5,
3,
4,
2,
4,
3,
2,
2,
2,
4,
3,
4,
4,
6,
4,
6,
6,
2,
4,
3,
2,
2,
4,
5,
4,
4,
3,
4,
4,
3,
3,
4,
3,
3,
4,
3,
3,
3,
2,
2,
3,
4,
2,
2,
2,
2,
3,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
5,
3,
6,
2,
3,
4,
4,
4,
4,
2,
5,
3,
3,
2,
2,
2,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
4,
3,
2,
6,
2,
2,
4,
2,
7,
2,
2,
2,
3,
2,
3,
4,
4,
6,
3,
3,
6,
4,
5,
2,
2,
3,
3,
3,
3,
4,
4,
4,
3,
2,
5,
2,
2,
2,
2,
4,
4,
4,
5,
5,
4,
4,
6,
4,
4,
3,
3,
3,
4,
4,
3,
4,
4,
2,
3,
4,
2,
4,
4,
4,
2,
3,
6,
5,
2,
5,
3,
4,
4,
5,
3,
2,
5,
2,
4,
2,
2,
3,
3,
2,
3,
3,
5,
6,
4,
4,
2,
2,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
4,
4,
2,
3,
3,
3,
5,
5,
3,
4,
2,
2,
2,
2,
2,
4,
3,
3,
4,
4,
4,
4,
2,
3,
2,
3,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
4,
4,
4,
4,
3,
2,
4,
3,
4,
4,
3,
2,
4,
4,
7,
7,
4,
3,
4,
4,
4,
4,
5,
2,
4,
4,
2,
3,
4,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
2,
2,
2,
3,
4,
3,
8,
2,
4,
4,
3,
2,
3,
3,
2,
4,
3,
4,
2,
4,
5,
3,
4,
3,
3,
3,
5,
4,
5,
4,
4,
1,
2,
2,
2,
4,
5,
2,
2,
4,
4,
3,
5,
4,
3,
4,
4,
2,
4,
2,
3,
4,
4,
3,
3,
4,
3,
4,
3,
5,
2,
4,
2,
3,
2,
3,
4,
2,
4,
4,
8,
4,
2,
4,
4,
4,
9,
5,
4,
2,
4,
3,
2,
2,
4,
3,
3,
3,
4,
4,
7,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
1,
3,
4,
3,
2,
2,
5,
8,
3,
4,
4,
2,
2,
2,
2,
2,
5,
2,
5,
3,
3,
4,
2,
2,
5,
4,
3,
3,
2,
2,
4,
2,
3,
2,
4,
2,
2,
7,
4,
3,
3,
4,
5,
4,
4,
4,
2,
2,
4,
4,
3,
2,
4,
4,
2,
2,
1,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
5,
3,
3,
3,
4,
4,
4,
4,
2,
3,
3,
2,
3,
2,
2,
4,
2,
5,
3,
2,
3,
2,
3,
3,
2,
4,
3,
5,
3,
3,
3,
2,
2,
2,
4,
3,
2,
2,
3,
3,
4,
2,
2,
5,
6,
2,
4,
3,
3,
3,
5,
3,
4,
4,
3,
4,
4,
3,
1,
3,
6,
4,
5,
5,
4,
3,
3,
3,
3,
4,
2,
2,
4,
2,
2,
2,
3,
3,
6,
2,
4,
5,
6,
1,
6,
5,
3,
3,
3,
3,
3,
3,
1,
2,
4,
1,
4,
2,
3,
2,
4,
2,
3,
2,
3,
6,
2,
2,
3,
2,
3,
4,
4,
4,
4,
4,
3,
3,
6,
4,
3,
4,
5,
4,
3,
3,
5,
2,
6,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
3,
1,
2,
2,
3,
3,
4,
2,
2,
2,
3,
4,
3,
3,
4,
2,
4,
2,
3,
2,
5,
4,
3,
4,
3,
3,
2,
2,
3,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
5,
7,
7,
3,
6,
4,
4,
3,
3,
3,
3,
2,
4,
2,
4,
3,
4,
2,
5,
2,
3,
4,
2,
2,
3,
3,
3,
6,
5,
6,
3,
3,
3,
3,
5,
5,
4,
7,
3,
2,
2,
6,
2,
1,
2,
2,
2,
2,
2,
3,
2,
5,
3,
2,
2,
6,
4,
2,
3,
3,
3,
4,
5,
2,
2,
2,
4,
4,
4,
4,
3,
3,
4,
4,
3,
2,
2,
4,
4,
3,
3,
4,
2,
2,
5,
4,
5,
2,
4,
4,
3,
3,
4,
5,
4,
2,
4,
4,
4,
2,
4,
4,
5,
2,
6,
3,
4,
4,
2,
2,
2,
3,
3,
3,
4,
4,
3,
2,
2,
4,
2,
2,
4,
3,
3,
2,
2,
2,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
3,
2,
3,
2,
4,
2,
3,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
3,
3,
4,
3,
2,
2,
4,
2,
2,
2,
3,
2,
3,
3,
3,
1,
3,
5,
3,
2,
4,
1,
1,
1,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
2,
4,
4,
2,
4,
5,
4,
2,
4,
2,
3,
2,
3,
1,
3,
2,
5,
4,
2,
2,
1,
1,
2,
1,
3,
3,
2,
3,
3,
2,
5,
4,
5,
2,
2,
2,
6,
4,
3,
3,
3,
3,
3,
3,
4,
5,
3,
3,
2,
5,
3,
4,
2,
2,
2,
4,
4,
2,
2,
3,
3,
3,
2,
3,
3,
4,
2,
2,
2,
4,
5,
2,
4,
3,
4,
5,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
5,
6,
4,
4,
2,
4,
3,
4,
4,
5,
4,
4,
4,
4,
2,
4,
2,
3,
2,
3,
3,
1,
3,
3,
2,
3,
3,
2,
5,
6,
2,
3,
4,
4,
3,
2,
3,
3,
3,
5,
3,
3,
2,
3,
3,
2,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
3,
4,
2,
3,
3,
2,
2,
6,
4,
3,
3,
4,
4,
4,
4,
2,
4,
4,
3,
4,
4,
3,
2,
3,
3,
4,
6,
4,
4,
4,
2,
3,
4,
4,
2,
2,
2,
2,
6,
3,
4,
4,
3,
4,
2,
4,
4,
2,
2,
2,
3,
3,
4,
4,
4,
4,
2,
4,
2,
6,
2,
2,
4,
1,
3,
4,
2,
2,
4,
4,
4,
5,
5,
5,
2,
5,
5,
3,
2,
5,
2,
5,
4,
5,
4,
4,
2,
3,
4,
5,
4,
2,
4,
6,
4,
2,
3,
3,
2,
4,
1,
4,
3,
3,
2,
2,
2,
3,
2,
3,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
2,
2,
1,
4,
4,
4,
3,
3,
4,
3,
2,
4,
2,
2,
3,
4,
2,
3,
2,
3,
3,
3,
3,
3,
2,
2,
6,
4,
2,
8,
3,
3,
2,
5,
4,
4,
2,
2,
2,
1,
2,
2,
4,
4,
4,
4,
3,
3,
1,
3,
5,
3,
3,
2,
3,
2,
5,
3,
4,
2,
3,
3,
4,
7,
2,
2,
2,
2,
3,
2,
4,
4,
2,
5,
5,
2,
4,
2,
4,
2,
3,
3,
2,
4,
4,
4,
4,
4,
2,
4,
4,
2,
3,
2,
3,
2,
3,
4,
3,
4,
3,
2,
2,
2,
4,
5,
5,
5,
3,
2,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
3,
1,
3,
2,
3,
3,
4,
3,
3,
3,
1,
3,
3,
4,
5,
5,
5,
4,
3,
4,
4,
4,
4,
4,
3,
5,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
3,
4,
3,
4,
4,
4,
4,
4,
2,
3,
3,
5,
5,
2,
3,
1,
5,
2,
4,
4,
4,
4,
3,
2,
3,
5,
3,
5,
4,
3,
2,
4,
4,
3,
3,
4,
3,
3,
2,
4,
4,
4,
2,
2,
2,
3,
4,
2,
3,
3,
3,
3,
4,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
5,
2,
4,
2,
2,
1,
6,
2,
4,
3,
2,
1,
6,
3,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
4,
3,
6,
3,
3,
3,
3,
6,
4,
4,
4,
3,
4,
4,
2,
2,
2,
2,
3,
8,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
5,
4,
4,
6,
4,
5,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
3,
4,
7,
5,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
2,
5,
4,
4,
3,
3,
4,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
2,
3,
1,
2,
4,
4,
3,
3,
4,
4,
4,
3,
3,
3,
3,
2,
3,
2,
2,
1,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
1,
4,
1,
1,
4,
4,
4,
5,
2,
2,
4,
2,
2,
4,
2,
4,
3,
2,
4,
2,
3,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
5,
4,
3,
5,
4,
4,
3,
4,
3,
2,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
2,
3,
4,
2,
2,
4,
2,
3,
2,
4,
2,
4,
4,
4,
4,
2,
4,
5,
5,
4,
6,
2,
3,
3,
4,
2,
2,
3,
4,
4,
2,
3,
5,
5,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
4,
3,
6,
4,
2,
2,
2,
3,
4,
4,
3,
2,
5,
3,
1,
3,
2,
2,
2,
2,
2,
5,
2,
3,
3,
4,
4,
3,
7,
4,
3,
4,
3,
4,
3,
3,
2,
4,
5,
3,
3,
5,
4,
3,
3,
5,
4,
4,
6,
6,
3,
1,
3,
4,
4,
3,
4,
4,
3,
3,
3,
2,
3,
5,
3,
4,
4,
6,
1,
3,
4,
6,
2,
4,
2,
2,
4,
3,
4,
4,
4,
2,
2,
5,
4,
3,
5,
4,
3,
5,
3,
5,
2,
3,
5,
5,
4,
3,
3,
2,
5,
2,
2,
2,
2,
2,
3,
3,
3,
5,
3,
3,
3,
3,
4,
4,
4,
4,
4,
1,
2,
4,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
3,
3,
2,
2,
2,
3,
2,
2,
2,
4,
4,
4,
3,
2,
4,
4,
4,
4,
2,
4,
4,
2,
2,
2,
4,
4,
2,
1,
2,
4,
2,
4,
2,
5,
4,
4,
4,
2,
4,
3,
2,
7,
2,
6,
3,
3,
7,
3,
4,
3,
2,
3,
4,
2,
3,
4,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
2,
3,
2,
3,
5,
2,
5,
3,
3,
4,
4,
3,
2,
4,
3,
1,
3,
3,
2,
4,
2,
3,
3,
4,
2,
3,
4,
3,
4,
3,
3,
2,
3,
3,
2,
2,
3,
2,
4,
3,
3,
3,
3,
2,
3,
4,
4,
4,
3,
4,
1,
2,
3,
4,
3,
4,
2,
3,
3,
3,
3,
4,
2,
2,
2,
2,
3,
2,
3,
4,
3,
5,
3,
4,
4,
5,
4,
2,
6,
4,
4,
3,
3,
3,
3,
3,
4,
4,
1,
3,
4,
2,
2,
2,
3,
4,
4,
2,
2,
4,
4,
2,
4,
4,
4,
2,
4,
4,
2,
4,
4,
2,
3,
3,
2,
2,
3,
3,
4,
4,
4,
2,
3,
4,
3,
4,
4,
2,
2,
3,
6,
2,
4,
2,
2,
4,
3,
2,
4,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
3,
3,
4,
3,
3,
3,
2,
2,
2,
4,
4,
2,
4,
4,
5,
3,
5,
3,
3,
3,
3,
2,
4,
3,
2,
3,
5,
3,
3,
2,
4,
3,
5,
2,
2,
2,
3,
3,
4,
2,
4,
2,
2,
5,
3,
3,
1,
3,
3,
3,
2,
2,
3,
2,
2,
4,
4,
4,
5,
3,
3,
2,
4,
3,
2,
3,
3,
5,
2,
4,
2,
2,
2,
4,
3,
2,
4,
4,
3,
3,
4,
4,
5,
1,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
3,
5,
3,
3,
5,
3,
4,
2,
2,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
3,
2,
5,
4,
2,
2,
4,
4,
4,
2,
4,
4,
3,
3,
1,
2,
3,
3,
1,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
5,
5,
3,
3,
2,
2,
3,
5,
5,
4,
3,
3,
2,
4,
4,
4,
2,
4,
2,
4,
5,
3,
4,
4,
2,
3,
2,
3,
2,
4,
3,
2,
4,
4,
4,
2,
3,
3,
2,
2,
2,
5,
3,
6,
5,
3,
3,
3,
3,
4,
3,
2,
3,
2,
4,
4,
6,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
5,
4,
2,
2,
3,
2,
2,
2,
1,
5,
2,
4,
2,
4,
4,
4,
4,
2,
5,
2,
4,
4,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
6,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
2,
5,
2,
2,
3,
2,
3,
2,
3,
3,
2,
3,
7,
4,
8,
4,
2,
4,
2,
2,
2,
2,
3,
5,
2,
2,
3,
2,
3,
2,
2,
3,
1,
3,
2,
2,
4,
2,
3,
3,
2,
8,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
1,
4,
4,
4,
4,
2,
3,
3,
2,
3,
2,
3,
3,
4,
3,
5,
5,
2,
4,
4,
4,
2,
2,
2,
4,
2,
2,
3,
4,
2,
2,
2,
4,
4,
2,
2,
4,
2,
4,
5,
5,
5,
2,
3,
2,
6,
3,
2,
2,
2,
4,
4,
4,
3,
5,
5,
5,
5,
5,
5,
2,
4,
3,
4,
2,
2,
2,
2,
2,
2,
1,
4,
2,
3,
4,
2,
3,
3,
4,
4,
3,
4,
2,
2,
5,
4,
3,
2,
3,
4,
2,
3,
3,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
5,
4,
3,
3,
3,
5,
3,
3,
2,
2,
5,
2,
2,
2,
2,
2,
4,
2,
4,
4,
3,
6,
3,
2,
4,
3,
4,
3,
3,
3,
4,
4,
4,
4,
3,
4,
3,
4,
2,
4,
4,
3,
4,
3,
3,
4,
2,
2,
2,
2,
4,
3,
3,
3,
2,
2,
2,
3,
4,
3,
3,
2,
5,
2,
2,
2,
2,
2,
4,
2,
3,
4,
4,
5,
4,
4,
3,
5,
4,
6,
4,
1,
4,
3,
2,
2,
2,
5,
3,
2,
4,
2,
2,
2,
5,
4,
2,
1,
2,
2,
4,
2,
2,
2,
3,
4,
4,
2,
3,
3,
3,
3,
2,
3,
4,
3,
2,
4,
4,
3,
3,
3,
2,
2,
2,
3,
4,
4,
4,
4,
2,
3,
3,
3,
3,
4,
2,
4,
4,
3,
3,
3,
3,
2,
4,
4,
3,
5,
4,
7,
3,
6,
2,
3,
3,
4,
4,
2,
4,
3,
2,
2,
1,
4,
5,
2,
4,
7,
4,
5,
4,
5,
6,
3,
3,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
4,
2,
4,
4,
3,
3,
3,
3,
3,
4,
6,
3,
4,
4,
4,
5,
4,
3,
3,
5,
4,
3,
4,
3,
3,
4,
2,
4,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
1,
1,
2,
4,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
3,
1,
2,
2,
2,
4,
4,
3,
4,
3,
3,
3,
3,
2,
2,
3,
3,
4,
3,
4,
4,
4,
2,
2,
2,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
6,
3,
2,
2,
2,
3,
5,
2,
3,
3,
4,
4,
4,
5,
5,
4,
4,
4,
3,
4,
4,
3,
3,
2,
2,
6,
10,
3,
4,
2,
3,
3,
4,
2,
4,
5,
6,
3,
4,
7,
5,
5,
4,
3,
3,
4,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
5,
4,
2,
3,
4,
4,
4,
5,
7,
3,
2,
2,
3,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
5,
4,
4,
2,
4,
2,
4,
4,
5,
4,
4,
3,
5,
4,
4,
3,
4,
4,
4,
4,
6,
3,
3,
3,
2,
4,
2,
2,
2,
1,
5,
4,
4,
3,
2,
2,
4,
3,
5,
2,
2,
4,
4,
4,
2,
3,
2,
6,
3,
3,
4,
3,
3,
5,
5,
6,
4,
5,
4,
6,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
4,
3,
2,
4,
4,
2,
4,
3,
3,
3,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
6,
3,
5,
2,
4,
3,
4,
3,
2,
2,
3,
4,
2,
2,
2,
3,
2,
4,
3,
4,
3,
4,
4,
5,
3,
3,
3,
5,
4,
4,
2,
5,
3,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
4,
6,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
4,
2,
2,
5,
3,
5,
2,
2,
4,
4,
2,
4,
3,
2,
3,
5,
4,
6,
5,
5,
5,
4,
2,
4,
4,
4,
4,
3,
3,
2,
3,
2,
4,
2,
2,
5,
3,
4,
3,
4,
5,
2,
4,
3,
4,
3,
3,
2,
2,
3,
4,
4,
4,
2,
4,
2,
3,
3,
2,
4,
3,
4,
3,
1,
2,
4,
4,
4,
7,
5,
1,
7,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
4,
3,
2,
5,
4,
3,
2,
2,
2,
3,
6,
6,
2,
2,
4,
4,
4,
5,
2,
2,
5,
3,
4,
4,
2,
6,
2,
3,
2,
4,
5,
4,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
4,
3,
3,
2,
3,
2,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
1,
3,
3,
2,
4,
2,
4,
3,
2,
2,
3,
2,
2,
3,
5,
3,
3,
2,
3,
5,
3,
2,
4,
3,
3,
3,
3,
5,
3,
3,
5,
2,
4,
3,
2,
4,
4,
4,
1,
8,
4,
2,
2,
4,
2,
2,
2,
2,
5,
2,
4,
4,
2,
4,
4,
3,
3,
3,
2,
5,
6,
6,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
2,
2,
4,
3,
4,
2,
4,
2,
3,
2,
2,
2,
2,
2,
4,
4,
2,
3,
1,
2,
4,
4,
4,
2,
2,
3,
4,
2,
4,
3,
2,
2,
2,
2,
2,
4,
3,
3,
3,
2,
5,
6,
4,
2,
3,
3,
4,
4,
2,
5,
5,
4,
2,
7,
4,
4,
2,
3,
2,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
4,
3,
4,
2,
3,
3,
3,
2,
3,
3,
2,
4,
2,
4,
4,
2,
3,
3,
3,
3,
3,
2,
3,
2,
5,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
3,
3,
5,
6,
3,
3,
3,
2,
2,
4,
6,
3,
2,
2,
2,
4,
4,
3,
2,
4,
3,
3,
4,
3,
4,
3,
5,
3,
3,
2,
1,
2,
2,
3,
6,
3,
3,
1,
4,
4,
3,
2,
3,
3,
3,
4,
4,
4,
3,
4,
3,
4,
4,
2,
6,
3,
1,
3,
4,
4,
4,
2,
4,
4,
2,
4,
4,
2,
2,
4,
2,
3,
2,
4,
4,
3,
4,
3,
4,
2,
2,
2,
4,
3,
4,
3,
3,
3,
2,
3,
3,
4,
3,
3,
3,
2,
4,
2,
1,
2,
3,
5,
5,
7,
5,
4,
3,
2,
2,
2,
4,
2,
4,
4,
2,
5,
5,
4,
4,
2,
3,
3,
3,
1,
2,
4,
4,
4,
2,
4,
2,
2,
3,
6,
3,
3,
3,
4,
4,
2,
3,
3,
4,
3,
3,
7,
2,
5,
3,
2,
4,
2,
4,
4,
5,
7,
3,
4,
4,
3,
3,
2,
4,
3,
3,
2,
3,
3,
1,
3,
2,
2,
2,
2,
8,
3,
3,
2,
2,
2,
3,
2,
2,
5,
6,
7,
6,
3,
4,
4,
2,
4,
3,
2,
5,
3,
3,
3,
2,
4,
2,
4,
5,
3,
3,
3,
4,
4,
2,
4,
3,
4,
4,
3,
4,
5,
3,
3,
2,
2,
2,
4,
4,
1,
2,
3,
3,
4,
4,
4,
4,
4,
3,
4,
3,
3,
3,
2,
5,
5,
3,
4,
2,
3,
5,
2,
3,
3,
4,
3,
4,
2,
4,
3,
3,
6,
3,
5,
5,
2,
3,
5,
2,
4,
4,
3,
3,
3,
3,
4,
4,
2,
4,
2,
3,
2,
4,
4,
4,
3,
2,
2,
4,
3,
4,
2,
2,
5,
4,
5,
4,
2,
3,
4,
4,
3,
4,
2,
2,
4,
3,
3,
3,
6,
4,
3,
4,
4,
4,
6,
4,
7,
7,
5,
4,
5,
4,
4,
2,
3,
2,
4,
2,
4,
3,
2,
2,
2,
4,
2,
4,
2,
4,
4,
2,
2,
2,
5,
4,
4,
4,
4,
2,
2,
2,
4,
2,
2,
4,
2,
4,
4,
4,
4,
5,
5,
4,
2,
2,
3,
4,
3,
2,
3,
2,
2,
2,
4,
2,
4,
2,
3,
4,
4,
6,
2,
4,
4,
4,
2,
2,
2,
1,
2,
1,
2,
1,
2,
4,
4,
4,
4,
2,
2,
4,
7,
4,
5,
4,
4,
4,
4,
3,
2,
3,
2,
4,
5,
3,
3,
2,
2,
3,
2,
4,
4,
3,
3,
3,
7,
2,
4,
4,
2,
5,
8,
5,
2,
3,
2,
4,
2,
4,
3,
2,
2,
4,
3,
3,
3,
2,
3,
3,
2,
2,
3,
2,
2,
2,
3,
4,
4,
4,
2,
3,
5,
2,
2,
2,
2,
4,
4,
5,
2,
3,
3,
3,
3,
3,
4,
3,
3,
6,
3,
4,
4,
4,
2,
3,
4,
4,
4,
3,
6,
3,
3,
2,
3,
4,
3,
2,
4,
4,
3,
2,
2,
2,
4,
7,
4,
3,
1,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
3,
7,
6,
5,
4,
3,
3,
2,
2,
5,
3,
3,
4,
4,
3,
3,
4,
4,
4,
4,
5,
4,
3,
3,
3,
3,
5,
4,
2,
2,
7,
4,
4,
2,
2,
6,
5,
4,
4,
2,
3,
3,
3,
3,
3,
4,
4,
4,
2,
5,
4,
4,
4,
3,
4,
4,
3,
2,
4,
2,
6,
3,
4,
5,
4,
5,
3,
4,
6,
7,
2,
5,
1,
3,
3,
2,
5,
3,
4,
5,
3,
2,
4,
4,
2,
2,
2,
2,
5,
2,
2,
4,
4,
3,
4,
2,
3,
3,
3,
2,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
2,
4,
2,
2,
2,
3,
2,
2,
1,
2,
3,
5,
6,
2,
4,
4,
4,
4,
2,
4,
4,
4,
5,
2,
4,
4,
4,
5,
2,
3,
4,
4,
2,
4,
4,
2,
4,
4,
4,
4,
3,
2,
4,
4,
4,
3,
2,
3,
3,
4,
4,
4,
4,
3,
2,
4,
3,
4,
3,
4,
4,
4,
4,
4,
3,
3,
4,
5,
4,
2,
4,
3,
4,
2,
2,
2,
3,
3,
4,
4,
4,
6,
4,
3,
3,
4,
2,
2,
2,
3,
2,
2,
3,
4,
4,
2,
3,
4,
4,
3,
3,
3,
4,
3,
3,
4,
3,
1,
8,
4,
3,
3,
2,
3,
3,
3,
3,
3,
2,
5,
2,
3,
3,
3,
2,
4,
6,
2,
4,
4,
6,
2,
2,
2,
2,
2,
3,
2,
4,
4,
3,
2,
3,
4,
4,
4,
2,
4,
4,
4,
4,
2,
7,
2,
3,
3,
3,
3,
6,
3,
2,
2,
3,
4,
6,
3,
6,
4,
2,
2,
5,
2,
4,
4,
4,
4,
3,
4,
4,
5,
4,
2,
2,
2,
2,
3,
3,
3,
3,
4,
5,
4,
2,
2,
4,
6,
5,
2,
4,
7,
4,
4,
3,
7,
4,
4,
7,
3,
7,
3,
4,
1,
3,
5,
2,
2,
2,
2,
3,
3,
3,
3,
2,
3,
4,
2,
4,
3,
2,
1,
3,
2,
3,
3,
2,
3,
3,
3,
4,
2,
6,
2,
3,
4,
2,
2,
2,
3,
5,
5,
2,
4,
4,
2,
4,
3,
4,
2,
2,
4,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
3,
3,
2,
4,
2,
2,
2,
3,
2,
2,
2,
4,
4,
4,
2,
4,
3,
3,
4,
4,
5,
2,
3,
4,
5,
4,
4,
4,
2,
7,
3,
7,
2,
3,
2,
2,
2,
2,
4,
3,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
2,
6,
2,
2,
3,
3,
2,
3,
3,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
4,
4,
6,
4,
4,
4,
8,
4,
3,
3,
3,
4,
4,
3,
3,
3,
5,
4,
5,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
5,
6,
3,
4,
3,
5,
3,
3,
4,
2,
4,
2,
3,
2,
2,
4,
2,
2,
4,
3,
3,
3,
6,
6,
5,
3,
5,
3,
3,
3,
3,
3,
2,
2,
2,
2,
5,
5,
2,
3,
6,
3,
3,
3,
3,
3,
3,
4,
4,
2,
5,
4,
4,
4,
6,
3,
2,
3,
2,
2,
2,
4,
2,
2,
3,
3,
2,
1,
1,
1,
1,
1,
4,
1,
3,
4,
3,
2,
3,
3,
3,
4,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
3,
3,
2,
4,
2,
3,
3,
5,
3,
1,
2,
3,
5,
6,
4,
5,
6,
4,
3,
3,
3,
3,
3,
2,
2,
3,
4,
3,
3,
4,
2,
4,
2,
3,
4,
2,
5,
5,
4,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
5,
2,
4,
4,
2,
2,
3,
6,
3,
3,
6,
4,
2,
5,
5,
4,
4,
3,
3,
3,
4,
4,
4,
4,
8,
3,
4,
3,
5,
2,
2,
3,
3,
3,
3,
2,
2,
4,
2,
6,
4,
4,
4,
4,
3,
1,
1,
4,
5,
5,
7,
6,
5,
2,
4,
2,
4,
2,
4,
4,
4,
3,
4,
2,
5,
2,
2,
2,
2,
3,
3,
2,
3,
4,
4,
5,
2,
7,
6,
2,
4,
4,
5,
3,
2,
3,
2,
2,
3,
2,
4,
2,
3,
2,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
5,
3,
3,
2,
4,
2,
2,
6,
4,
2,
2,
4,
2,
6,
6,
5,
3,
3,
2,
2,
4,
2,
4,
2,
6,
5,
5,
8,
4,
4,
2,
2,
4,
3,
2,
2,
4,
6,
2,
3,
3,
4,
5,
2,
3,
4,
2,
3,
4,
4,
3,
4,
6,
6,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
5,
4,
5,
4,
4,
3,
3,
3,
2,
2,
4,
2,
2,
2,
3,
3,
4,
4,
4,
2,
2,
2,
2,
4,
4,
3,
2,
3,
2,
2,
3,
2,
2,
3,
3,
2,
2,
3,
2,
1,
3,
2,
2,
2,
4,
3,
4,
5,
4,
3,
4,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
3,
6,
5,
7,
5,
5,
6,
5,
2,
3,
3,
3,
3,
4,
3,
2,
4,
4,
2,
4,
4,
2,
4,
2,
3,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
2,
4,
2,
2,
1,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
3,
3,
3,
5,
5,
3,
3,
4,
4,
2,
2,
2,
2,
6,
3,
3,
4,
3,
3,
5,
3,
3,
2,
2,
4,
4,
5,
2,
2,
1,
2,
2,
3,
4,
4,
4,
3,
7,
6,
3,
1,
2,
2,
5,
5,
2,
2,
3,
4,
3,
2,
5,
2,
2,
4,
4,
5,
4,
4,
5,
2,
4,
2,
2,
4,
3,
7,
3,
2,
2,
3,
2,
2,
5,
4,
3,
2,
9,
5,
4,
3,
2,
4,
3,
4,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
5,
2,
3,
3,
4,
3,
3,
6,
4,
2,
2,
2,
5,
3,
3,
3,
5,
3,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
4,
4,
2,
2,
2,
3,
3,
5,
5,
4,
4,
3,
2,
2,
4,
4,
4,
4,
4,
2,
3,
2,
5,
3,
4,
4,
2,
2,
2,
4,
3,
3,
4,
4,
5,
4,
5,
2,
4,
4,
4,
2,
4,
2,
3,
3,
2,
3,
3,
3,
3,
2,
2,
3,
1,
5,
3,
3,
3,
2,
3,
4,
4,
3,
3,
6,
2,
6,
3,
2,
4,
2,
5,
2,
3,
5,
2,
4,
4,
4,
5,
5,
2,
2,
3,
3,
3,
3,
2,
2,
4,
2,
2,
3,
4,
5,
5,
4,
3,
2,
1,
4,
3,
3,
3,
2,
6,
3,
3,
2,
6,
3,
5,
4,
2,
2,
2,
2,
4,
4,
3,
5,
5,
4,
4,
5,
2,
2,
2,
3,
4,
4,
3,
4,
3,
4,
4,
2,
2,
2,
2,
2,
2,
5,
2,
4,
3,
5,
2,
4,
4,
3,
3,
5,
3,
4,
2,
2,
3,
4,
4,
2,
3,
4,
4,
2,
2,
4,
5,
3,
2,
4,
2,
2,
2,
5,
7,
4,
4,
4,
2,
2,
2,
4,
5,
2,
4,
4,
3,
2,
3,
4,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
8,
4,
2,
4,
3,
4,
4,
4,
2,
4,
2,
4,
4,
2,
3,
2,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
5,
2,
2,
3,
2,
3,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
2,
2,
7,
4,
4,
4,
3,
3,
2,
3,
3,
4,
3,
3,
3,
4,
4,
8,
3,
3,
3,
3,
2,
4,
2,
2,
3,
1,
4,
5,
4,
2,
2,
2,
3,
4,
4,
4,
2,
4,
2,
2,
4,
3,
4,
3,
3,
3,
2,
2,
2,
2,
4,
3,
4,
2,
3,
4,
4,
3,
3,
2,
4,
3,
4,
4,
4,
4,
4,
2,
4,
2,
4,
2,
1,
4,
2,
2,
4,
3,
2,
3,
3,
3,
2,
4,
5,
3,
3,
3,
2,
3,
4,
2,
6,
4,
4,
5,
3,
4,
4,
3,
4,
4,
3,
5,
3,
3,
3,
4,
3,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
3,
3,
4,
4,
4,
5,
3,
4,
4,
3,
4,
4,
4,
4,
2,
4,
2,
2,
4,
3,
3,
5,
4,
5,
2,
3,
2,
2,
3,
3,
4,
2,
4,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
2,
4,
4,
6,
2,
3,
2,
2,
4,
2,
5,
5,
4,
2,
2,
4,
4,
2,
3,
3,
3,
3,
3,
2,
6,
6,
2,
2,
4,
1,
2,
6,
3,
3,
5,
3,
3,
2,
4,
6,
4,
2,
3,
3,
3,
2,
4,
4,
5,
5,
4,
5,
4,
4,
4,
6,
6,
3,
4,
3,
3,
3,
4,
2,
3,
3,
2,
2,
3,
4,
4,
4,
6,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
3,
5,
4,
2,
2,
4,
3,
3,
3,
4,
4,
2,
2,
2,
4,
4,
3,
3,
3,
7,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
3,
4,
3,
4,
4,
4,
5,
4,
3,
2,
3,
3,
4,
4,
4,
2,
2,
3,
2,
2,
3,
4,
3,
7,
5,
2,
2,
4,
4,
4,
5,
4,
4,
3,
3,
3,
4,
4,
5,
5,
4,
2,
3,
5,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
3,
3,
4,
2,
2,
2,
2,
2,
5,
6,
4,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
4,
3,
2,
4,
4,
2,
5,
5,
2,
2,
4,
2,
3,
3,
4,
4,
4,
5,
3,
5,
2,
4,
5,
3,
2,
3,
3,
3,
2,
2,
2,
5,
3,
2,
3,
3,
3,
3,
2,
3,
3,
4,
2,
2,
2,
3,
2,
4,
4,
3,
4,
4,
4,
4,
4,
5,
4,
4,
4,
3,
5,
2,
3,
2,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
2,
3,
4,
2,
2,
2,
4,
3,
4,
2,
2,
4,
3,
2,
4,
2,
6,
2,
2,
2,
4,
4,
5,
2,
6,
4,
5,
5,
5,
3,
4,
4,
2,
4,
5,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
3,
3,
3,
4,
2,
4,
2,
2,
5,
2,
3,
8,
3,
2,
3,
2,
5,
5,
2,
4,
2,
1,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
1,
3,
2,
3,
3,
2,
3,
4,
4,
4,
2,
4,
2,
3,
2,
3,
2,
3,
4,
4,
4,
5,
6,
5,
3,
5,
5,
2,
3,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
4,
2,
3,
4,
5,
2,
2,
4,
4,
2,
4,
2,
4,
6,
4,
2,
2,
4,
3,
2,
2,
3,
4,
3,
3,
3,
2,
3,
2,
2,
3,
4,
3,
3,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
5,
5,
3,
2,
4,
2,
2,
4,
2,
4,
4,
6,
4,
3,
4,
4,
6,
4,
4,
4,
3,
5,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
5,
4,
2,
3,
6,
3,
4,
4,
4,
2,
3,
2,
2,
2,
3,
4,
5,
4,
3,
4,
4,
3,
3,
2,
3,
2,
2,
3,
3,
3,
2,
3,
3,
2,
3,
4,
4,
6,
4,
5,
5,
7,
3,
3,
3,
5,
7,
4,
3,
3,
4,
2,
5,
4,
4,
4,
4,
4,
5,
3,
3,
2,
4,
3,
4,
4,
4,
4,
4,
2,
3,
3,
2,
5,
4,
4,
2,
2,
2,
4,
4,
4,
2,
4,
4,
3,
3,
2,
4,
4,
2,
3,
3,
3,
1,
4,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
4,
3,
2,
2,
5,
2,
2,
2,
2,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
3,
3,
2,
3,
4,
4,
4,
4,
4,
2,
2,
4,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
2,
2,
4,
5,
3,
4,
3,
4,
4,
4,
3,
5,
3,
3,
6,
2,
2,
3,
3,
4,
2,
4,
6,
4,
4,
2,
2,
2,
5,
2,
2,
6,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
1,
2,
4,
2,
3,
3,
2,
3,
3,
4,
2,
3,
4,
2,
2,
4,
2,
3,
4,
4,
3,
3,
4,
3,
2,
2,
2,
4,
4,
6,
5,
4,
2,
2,
2,
3,
3,
2,
5,
3,
3,
2,
3,
5,
2,
4,
4,
5,
4,
2,
4,
4,
4,
2,
2,
6,
4,
3,
4,
4,
4,
3,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
2,
4,
4,
2,
2,
3,
3,
3,
2,
3,
4,
5,
4,
4,
2,
3,
1,
4,
2,
2,
2,
2,
2,
1,
4,
4,
4,
5,
2,
4,
5,
5,
4,
4,
3,
5,
3,
4,
3,
2,
3,
2,
2,
2,
2,
3,
2,
3,
2,
2,
3,
2,
3,
2,
3,
1,
3,
2,
2,
4,
4,
4,
6,
4,
4,
2,
2,
4,
4,
2,
2,
2,
3,
2,
4,
3,
4,
2,
2,
3,
3,
4,
3,
4,
3,
3,
5,
3,
5,
5,
4,
4,
2,
2,
4,
2,
2,
4,
3,
4,
3,
6,
3,
2,
3,
5,
3,
1,
2,
2,
2,
3,
7,
2,
4,
4,
5,
2,
3,
2,
4,
6,
3,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
5,
3,
3,
5,
2,
4,
2,
4,
3,
3,
3,
2,
2,
6,
3,
2,
2,
2,
2,
2,
4,
3,
4,
5,
5,
6,
5,
2,
2,
3,
4,
3,
5,
4,
4,
4,
3,
4,
2,
2,
2,
5,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
3,
1,
6,
5,
3,
2,
4,
4,
2,
3,
2,
3,
3,
3,
4,
4,
3,
6,
2,
4,
6,
6,
5,
4,
4,
4,
4,
3,
2,
4,
1,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
2,
3,
2,
2,
3,
2,
5,
7,
5,
4,
3,
3,
2,
2,
3,
4,
2,
2,
2,
4,
2,
4,
4,
2,
2,
2,
2,
3,
5,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
4,
3,
3,
2,
3,
2,
5,
3,
2,
3,
3,
4,
3,
3,
3,
2,
2,
6,
3,
3,
4,
4,
3,
3,
2,
4,
3,
2,
2,
2,
3,
3,
3,
4,
3,
5,
2,
2,
2,
4,
2,
3,
6,
2,
2,
2,
2,
5,
2,
4,
2,
2,
2,
2,
2,
5,
3,
2,
2,
2,
2,
2,
4,
4,
4,
6,
2,
4,
4,
4,
2,
3,
2,
2,
3,
3,
3,
3,
2,
5,
3,
2,
3,
3,
4,
3,
4,
4,
4,
4,
5,
5,
5,
3,
4,
4,
2,
4,
4,
5,
7,
2,
2,
3,
2,
4,
5,
3,
2,
6,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
2,
2,
4,
4,
2,
3,
4,
4,
3,
2,
2,
2,
2,
3,
3,
7,
4,
4,
6,
4,
2,
3,
6,
4,
4,
2,
4,
3,
3,
3,
4,
3,
3,
4,
2,
2,
2,
2,
2,
4,
2,
3,
5,
4,
5,
4,
5,
4,
4,
4,
2,
3,
2,
4,
9,
4,
2,
2,
5,
2,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
3,
2,
2,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
5,
4,
2,
3,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
4,
2,
2,
4,
4,
3,
2,
4,
2,
1,
2,
2,
2,
2,
3,
5,
5,
6,
3,
7,
4,
2,
4,
2,
2,
3,
4,
3,
3,
4,
3,
4,
4,
6,
3,
3,
3,
2,
4,
2,
4,
4,
3,
2,
4,
4,
4,
3,
3,
3,
3,
4,
5,
3,
3,
2,
4,
2,
2,
4,
4,
3,
4,
1,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
2,
2,
3,
4,
5,
5,
5,
4,
4,
2,
5,
4,
2,
2,
3,
3,
3,
3,
1,
3,
3,
4,
4,
2,
3,
4,
3,
5,
3,
3,
5,
2,
2,
3,
2,
4,
2,
5,
4,
2,
2,
3,
3,
3,
3,
2,
4,
3,
3,
2,
2,
2,
3,
2,
3,
2,
2,
4,
4,
3,
3,
4,
2,
4,
4,
4,
3,
3,
5,
2,
6,
4,
2,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
2,
3,
4,
2,
4,
2,
3,
4,
2,
3,
3,
3,
2,
2,
2,
3,
2,
3,
2,
4,
5,
4,
2,
5,
6,
2,
3,
4,
4,
4,
2,
2,
4,
3,
2,
5,
4,
4,
4,
4,
1,
4,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
1,
2,
3,
2,
2,
6,
3,
3,
2,
2,
4,
4,
4,
5,
4,
4,
7,
7,
1,
5,
5,
4,
4,
3,
3,
3,
2,
4,
4,
4,
1,
2,
2,
4,
4,
2,
4,
4,
4,
4,
2,
4,
3,
4,
5,
5,
4,
4,
2,
4,
4,
2,
3,
3,
4,
2,
6,
4,
3,
3,
4,
4,
4,
3,
4,
2,
4,
2,
4,
4,
4,
4,
6,
3,
2,
3,
4,
4,
4,
2,
4,
4,
3,
2,
3,
4,
4,
3,
2,
2,
3,
2,
2,
4,
2,
3,
3,
4,
4,
4,
2,
2,
4,
2,
3,
3,
5,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
4,
4,
3,
5,
5,
5,
4,
4,
4,
4,
5,
4,
4,
1,
3,
2,
4,
3,
3,
5,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
3,
5,
5,
4,
3,
4,
3,
3,
4,
4,
4,
3,
4,
3,
4,
2,
4,
4,
3,
2,
2,
3,
4,
3,
3,
2,
5,
2,
2,
7,
2,
5,
3,
3,
5,
2,
2,
3,
2,
4,
2,
2,
2,
3,
3,
2,
2,
2,
3,
3,
3,
5,
3,
2,
3,
3,
5,
3,
3,
3,
2,
4,
4,
2,
2,
2,
2,
3,
6,
4,
2,
2,
4,
2,
5,
4,
2,
3,
4,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
3,
5,
2,
2,
2,
2,
2,
2,
4,
8,
4,
3,
3,
3,
3,
3,
3,
4,
4,
5,
4,
1,
1,
2,
4,
2,
2,
4,
2,
4,
1,
3,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
3,
2,
5,
3,
3,
3,
3,
4,
3,
5,
4,
4,
4,
4,
2,
4,
6,
3,
3,
3,
5,
4,
3,
4,
5,
2,
5,
4,
5,
2,
4,
4,
4,
4,
2,
2,
2,
3,
2,
4,
2,
2,
2,
1,
2,
3,
2,
2,
2,
3,
3,
2,
3,
3,
4,
3,
2,
3,
2,
5,
5,
5,
4,
6,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
2,
4,
3,
7,
4,
3,
3,
5,
7,
4,
6,
4,
6,
3,
2,
2,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
3,
5,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
3,
2,
2,
2,
4,
3,
3,
4,
4,
3,
3,
5,
2,
5,
2,
3,
4,
3,
4,
4,
3,
2,
3,
4,
4,
3,
4,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
2,
4,
3,
2,
2,
4,
2,
3,
3,
2,
4,
2,
2,
3,
3,
4,
10,
5,
4,
3,
4,
4,
4,
5,
5,
5,
3,
4,
4,
4,
4,
4,
3,
3,
6,
3,
2,
3,
2,
4,
2,
2,
5,
3,
5,
5,
4,
4,
4,
2,
2,
4,
2,
2,
4,
3,
2,
2,
2,
4,
4,
4,
4,
2,
4,
3,
3,
3,
4,
3,
4,
4,
3,
2,
2,
5,
5,
6,
4,
4,
4,
2,
2,
2,
2,
3,
3,
2,
5,
3,
4,
3,
1,
3,
3,
3,
3,
4,
4,
5,
5,
3,
2,
2,
3,
3,
4,
4,
4,
4,
3,
8,
2,
2,
2,
3,
4,
3,
4,
4,
4,
3,
3,
2,
7,
5,
4,
4,
2,
2,
4,
6,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
6,
2,
2,
4,
4,
2,
1,
4,
2,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
3,
3,
6,
3,
6,
3,
3,
4,
3,
3,
2,
3,
4,
3,
5,
3,
2,
3,
5,
2,
2,
4,
2,
4,
4,
2,
4,
4,
3,
4,
6,
3,
4,
4,
4,
2,
3,
2,
5,
3,
3,
2,
3,
3,
3,
3,
4,
2,
2,
2,
4,
2,
4,
4,
2,
2,
4,
6,
6,
4,
3,
3,
6,
6,
4,
4,
3,
3,
3,
2,
5,
4,
4,
3,
5,
2,
3,
2,
3,
5,
5,
4,
4,
4,
3,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
1,
3,
4,
2,
2,
2,
4,
3,
3,
2,
3,
2,
3,
3,
2,
3,
8,
3,
4,
3,
5,
5,
2,
5,
5,
3,
3,
3,
3,
3,
7,
5,
2,
4,
4,
3,
7,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
4,
5,
2,
3,
5,
7,
3,
5,
3,
3,
3,
3,
3,
4,
4,
3,
3,
3,
4,
4,
2,
2,
4,
4,
4,
5,
4,
4,
2,
3,
6,
3,
3,
3,
4,
2,
4,
2,
1,
4,
3,
4,
4,
4,
4,
2,
3,
3,
3,
2,
4,
2,
4,
4,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
3,
3,
5,
3,
3,
4,
4,
4,
4,
4,
4,
3,
3,
6,
6,
3,
3,
3,
3,
4,
3,
3,
3,
3,
4,
4,
6,
3,
3,
3,
2,
2,
2,
3,
4,
3,
1,
4,
5,
2,
3,
2,
3,
5,
2,
3,
2,
2,
3,
4,
2,
2,
4,
5,
5,
4,
2,
3,
5,
3,
3,
3,
4,
4,
4,
2,
5,
2,
3,
3,
4,
4,
2,
2,
4,
4,
3,
4,
4,
3,
4,
4,
2,
5,
2,
2,
2,
6,
4,
3,
3,
2,
4,
4,
2,
3,
2,
4,
3,
2,
3,
4,
2,
5,
3,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
5,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
5,
5,
6,
4,
2,
2,
4,
2,
2,
6,
2,
7,
2,
4,
5,
3,
4,
6,
4,
2,
2,
4,
2,
3,
2,
2,
3,
2,
4,
3,
3,
6,
2,
2,
2,
2,
5,
4,
2,
2,
4,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
1,
3,
1,
2,
1,
3,
2,
5,
4,
4,
4,
5,
4,
4,
3,
2,
2,
1,
4,
4,
4,
4,
4,
4,
4,
2,
6,
4,
5,
2,
2,
2,
4,
5,
3,
4,
4,
3,
3,
3,
3,
4,
2,
5,
5,
4,
4,
2,
4,
4,
4,
3,
2,
2,
4,
4,
4,
4,
3,
3,
3,
2,
3,
3,
4,
4,
4,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
5,
3,
3,
3,
4,
3,
3,
3,
4,
4,
3,
3,
4,
4,
4,
2,
4,
3,
3,
3,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
3,
7,
7,
2,
2,
4,
3,
1,
2,
3,
3,
2,
2,
2,
3,
2,
3,
4,
4,
3,
3,
2,
4,
3,
2,
2,
4,
3,
3,
3,
3,
3,
2,
1,
2,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
4,
2,
3,
4,
3,
4,
4,
5,
3,
3,
3,
3,
4,
4,
2,
4,
2,
4,
3,
5,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
5,
5,
2,
4,
4,
4,
2,
5,
4,
5,
2,
2,
4,
3,
3,
2,
3,
3,
3,
3,
4,
2,
4,
4,
3,
2,
2,
2,
4,
4,
3,
2,
2,
5,
2,
2,
4,
3,
3,
3,
4,
3,
2,
4,
3,
5,
4,
4,
3,
4,
3,
3,
4,
3,
4,
7,
4,
3,
4,
2,
4,
4,
4,
4,
4,
3,
2,
2,
3,
2,
4,
4,
4,
4,
2,
4,
4,
1,
4,
4,
2,
4,
3,
2,
3,
2,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
2,
4,
4,
2,
2,
6,
3,
3,
3,
3,
4,
4,
5,
4,
8,
8,
4,
6,
4,
2,
4,
4,
3,
3,
5,
3,
2,
2,
3,
4,
2,
4,
2,
3,
3,
2,
6,
2,
4,
3,
2,
8,
4,
4,
6,
6,
6,
6,
3,
6,
4,
2,
6,
2,
4,
3,
5,
4,
4,
5,
5,
3,
3,
2,
4,
2,
3,
4,
3,
5,
4,
3,
2,
2,
5,
2,
2,
6,
2,
2,
4,
4,
3,
2,
2,
3,
3,
2,
3,
3,
2,
3,
2,
4,
4,
4,
3,
5,
5,
4,
2,
2,
3,
4,
4,
4,
4,
2,
3,
4,
6,
5,
2,
6,
4,
2,
3,
3,
2,
2,
2,
2,
5,
3,
5,
3,
3,
4,
2,
4,
5,
3,
3,
3,
4,
2,
3,
2,
3,
2,
4,
2,
5,
4,
3,
5,
4,
3,
4,
4,
6,
3,
2,
2,
2,
3,
3,
4,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
5,
5,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
2,
2,
2,
2,
3,
3,
3,
2,
3,
2,
3,
2,
4,
3,
3,
3,
6,
3,
6,
3,
7,
4,
3,
3,
3,
3,
5,
4,
3,
2,
2,
3,
3,
4,
4,
4,
2,
3,
5,
5,
5,
5,
2,
4,
4,
2,
2,
3,
2,
3,
2,
4,
2,
2,
4,
4,
4,
2,
4,
2,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
5,
3,
1,
3,
3,
3,
4,
4,
4,
5,
5,
7,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
2,
2,
4,
2,
3,
3,
4,
2,
2,
4,
2,
3,
3,
2,
3,
3,
3,
4,
2,
3,
4,
4,
2,
2,
2,
4,
1,
2,
3,
4,
4,
4,
2,
4,
6,
4,
4,
3,
2,
3,
2,
4,
4,
4,
2,
5,
3,
2,
2,
4,
3,
5,
3,
3,
3,
2,
4,
6,
5,
4,
2,
2,
5,
5,
3,
3,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
6,
4,
2,
2,
5,
5,
2,
2,
2,
4,
2,
4,
3,
2,
3,
3,
4,
3,
6,
4,
4,
5,
4,
4,
2,
2,
2,
6,
8,
3,
3,
3,
2,
3,
2,
4,
3,
4,
4,
7,
4,
3,
6,
4,
4,
4,
3,
3,
3,
3,
6,
4,
3,
4,
3,
6,
4,
3,
5,
5,
6,
5,
3,
3,
3,
4,
4,
3,
2,
2,
3,
3,
3,
3,
2,
4,
2,
3,
3,
2,
2,
3,
4,
3,
2,
3,
3,
4,
3,
3,
5,
5,
4,
5,
4,
2,
4,
6,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
4,
3,
3,
2,
3,
4,
2,
2,
4,
2,
2,
4,
4,
4,
3,
4,
2,
2,
2,
4,
2,
2,
3,
2,
3,
3,
3,
4,
4,
6,
4,
2,
4,
3,
2,
2,
2,
5,
3,
3,
3,
2,
2,
7,
3,
4,
5,
3,
2,
3,
2,
2,
2,
3,
3,
3,
3,
2,
4,
3,
3,
3,
2,
3,
4,
3,
4,
3,
4,
5,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
4,
4,
2,
2,
2,
8,
4,
4,
4,
4,
4,
3,
3,
6,
3,
6,
3,
2,
2,
4,
4,
2,
3,
5,
2,
2,
4,
2,
4,
2,
2,
4,
2,
2,
2,
4,
4,
2,
2,
3,
3,
4,
4,
1,
2,
4,
2,
3,
2,
3,
4,
5,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
2,
3,
3,
4,
2,
2,
3,
3,
5,
2,
4,
2,
3,
2,
2,
2,
4,
4,
4,
3,
3,
3,
4,
4,
2,
2,
2,
3,
4,
3,
2,
4,
2,
4,
3,
3,
1,
3,
2,
3,
4,
4,
3,
4,
2,
4,
2,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
5,
2,
4,
4,
4,
4,
6,
3,
3,
3,
3,
3,
3,
2,
4,
4,
3,
1,
3,
5,
7,
7,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
6,
3,
5,
4,
4,
4,
1,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
5,
3,
3,
2,
4,
3,
3,
3,
4,
3,
4,
4,
4,
3,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
3,
2,
3,
6,
6,
6,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
6,
2,
6,
5,
6,
7,
4,
4,
6,
4,
4,
3,
2,
1,
4,
4,
2,
2,
2,
2,
4,
4,
4,
2,
5,
3,
3,
3,
2,
4,
5,
6,
3,
4,
3,
4,
4,
2,
2,
2,
4,
4,
3,
2,
4,
5,
2,
5,
6,
6,
6,
2,
3,
7,
1,
1,
2,
4,
6,
2,
3,
4,
1,
4,
4,
4,
4,
4,
4,
3,
3,
2,
1,
2,
2,
3,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
4,
3,
2,
2,
3,
4,
2,
5,
4,
3,
4,
3,
3,
4,
5,
5,
4,
1,
2,
2,
5,
4,
4,
2,
4,
4,
3,
2,
2,
2,
3,
2,
3,
4,
2,
5,
5,
6,
3,
4,
3,
4,
6,
4,
2,
3,
4,
3,
4,
5,
3,
3,
3,
6,
5,
2,
4,
5,
5,
5,
5,
4,
2,
3,
5,
3,
2,
2,
4,
2,
3,
2,
5,
3,
3,
3,
5,
2,
2,
4,
5,
2,
3,
2,
2,
2,
4,
4,
4,
2,
4,
5,
3,
5,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
3,
2,
4,
3,
3,
1,
3,
3,
2,
3,
2,
3,
2,
3,
3,
3,
3,
3,
3,
4,
5,
4,
3,
3,
5,
3,
4,
4,
4,
4,
4,
3,
4,
3,
3,
4,
4,
4,
4,
5,
4,
2,
2,
4,
4,
4,
3,
2,
2,
2,
4,
4,
4,
2,
2,
2,
3,
3,
5,
4,
3,
4,
2,
3,
4,
4,
2,
4,
4,
4,
2,
3,
3,
3,
3,
3,
5,
2,
5,
3,
1,
3,
2,
2,
2,
2,
3,
4,
4,
2,
2,
2,
3,
3,
3,
4,
2,
3,
2,
4,
5,
3,
4,
1,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
3,
4,
5,
4,
4,
4,
3,
3,
2,
6,
4,
4,
3,
2,
2,
6,
3,
1,
2,
2,
1,
2,
4,
4,
4,
4,
4,
5,
3,
4,
1,
1,
3,
2,
2,
5,
3,
3,
2,
6,
2,
5,
3,
4,
3,
6,
3,
4,
7,
6,
5,
4,
4,
3,
3,
3,
4,
2,
4,
4,
4,
2,
3,
7,
4,
1,
1,
4,
4,
7,
3,
4,
3,
3,
4,
4,
4,
3,
4,
2,
2,
2,
1,
1,
2,
3,
3,
3,
3,
4,
4,
3,
3,
2,
4,
2,
4,
6,
4,
7,
7,
2,
3,
4,
5,
4,
6,
4,
4,
2,
3,
3,
4,
4,
4,
4,
3,
2,
4,
4,
2,
4,
3,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
3,
2,
5,
3,
3,
4,
4,
4,
3,
4,
4,
4,
4,
6,
4,
4,
4,
2,
4,
4,
2,
2,
4,
2,
3,
3,
3,
4,
5,
4,
4,
4,
6,
4,
2,
2,
1,
3,
2,
4,
3,
2,
2,
3,
2,
3,
3,
2,
2,
3,
4,
4,
4,
4,
4,
5,
4,
3,
2,
3,
3,
4,
4,
4,
2,
2,
3,
1,
2,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
4,
3,
5,
3,
6,
4,
3,
2,
5,
3,
2,
3,
4,
4,
3,
3,
3,
2,
2,
2,
4,
4,
2,
6,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
2,
6,
2,
2,
3,
2,
4,
4,
3,
3,
3,
3,
3,
2,
5,
3,
2,
2,
4,
3,
6,
4,
4,
3,
3,
4,
6,
3,
4,
4,
4,
2,
6,
2,
4,
4,
4,
2,
4,
3,
2,
2,
3,
2,
2,
3,
2,
7,
4,
4,
4,
4,
4,
3,
3,
4,
4,
2,
4,
4,
5,
2,
4,
2,
2,
2,
7,
5,
2,
2,
3,
6,
4,
3,
3,
2,
2,
2,
3,
1,
2,
3,
2,
2,
4,
6,
5,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
3,
2,
3,
3,
3,
2,
7,
2,
4,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
3,
3,
5,
2,
3,
4,
3,
3,
4,
4,
4,
4,
4,
2,
4,
3,
4,
3,
2,
2,
2,
5,
4,
3,
3,
2,
3,
5,
2,
4,
4,
2,
3,
2,
4,
4,
4,
2,
3,
2,
2,
2,
3,
3,
2,
3,
4,
4,
3,
2,
4,
4,
4,
4,
4,
5,
3,
3,
3,
3,
2,
4,
4,
2,
2,
4,
4,
2,
4,
2,
3,
4,
4,
4,
2,
4,
3,
3,
4,
4,
4,
2,
2,
4,
3,
4,
2,
3,
2,
5,
6,
2,
4,
4,
4,
4,
2,
1,
3,
3,
4,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
6,
2,
2,
4,
6,
4,
2,
4,
2,
4,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
3,
3,
3,
2,
2,
2,
7,
5,
3,
3,
5,
5,
4,
3,
4,
3,
8,
4,
5,
3,
3,
3,
6,
5,
4,
1,
3,
4,
5,
3,
3,
1,
2,
2,
4,
4,
5,
8,
4,
4,
3,
1,
2,
3,
2,
7,
4,
3,
5,
2,
4,
4,
2,
3,
5,
2,
6,
4,
4,
5,
2,
4,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
4,
4,
3,
3,
4,
3,
2,
3,
3,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
4,
2,
3,
6,
3,
2,
4,
8,
2,
4,
4,
3,
3,
3,
4,
4,
4,
4,
2,
2,
4,
2,
2,
2,
2,
3,
3,
2,
2,
4,
3,
2,
4,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
2,
3,
4,
4,
2,
2,
3,
2,
4,
5,
5,
3,
2,
2,
2,
4,
2,
3,
5,
3,
1,
2,
2,
2,
4,
4,
5,
2,
3,
4,
3,
2,
3,
4,
7,
4,
3,
2,
4,
4,
4,
2,
1,
4,
3,
4,
4,
3,
3,
3,
2,
6,
2,
4,
4,
3,
2,
2,
4,
4,
3,
1,
2,
3,
5,
3,
4,
3,
2,
5,
2,
3,
4,
4,
3,
3,
2,
2,
3,
3,
4,
4,
3,
3,
3,
4,
3,
4,
2,
3,
3,
5,
4,
2,
2,
2,
4,
2,
2,
5,
3,
4,
2,
5,
3,
4,
3,
3,
4,
4,
2,
2,
2,
3,
3,
2,
4,
2,
4,
1,
2,
2,
2,
4,
4,
4,
3,
2,
3,
4,
6,
2,
4,
4,
2,
2,
2,
5,
3,
2,
2,
2,
2,
3,
3,
2,
4,
4,
2,
2,
4,
2,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
6,
4,
5,
3,
3,
4,
2,
2,
4,
4,
2,
8,
4,
3,
5,
3,
2,
4,
4,
4,
2,
2,
4,
5,
4,
4,
4,
3,
3,
3,
2,
3,
2,
3,
6,
2,
2,
2,
2,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
3,
4,
3,
3,
5,
5,
8,
4,
3,
4,
3,
3,
4,
3,
1,
4,
4,
4,
4,
4,
2,
2,
4,
2,
3,
2,
2,
6,
4,
4,
3,
2,
2,
4,
2,
2,
4,
6,
4,
4,
3,
2,
3,
3,
2,
4,
3,
3,
4,
2,
5,
5,
5,
4,
4,
4,
4,
4,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
3,
4,
4,
3,
4,
4,
5,
4,
3,
3,
2,
4,
4,
2,
3,
2,
5,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
6,
3,
5,
4,
5,
2,
2,
5,
5,
4,
2,
2,
3,
4,
2,
4,
3,
4,
4,
3,
5,
4,
2,
2,
4,
4,
2,
4,
4,
4,
3,
4,
2,
4,
3,
8,
2,
4,
2,
3,
4,
6,
6,
4,
4,
2,
2,
4,
3,
3,
5,
2,
5,
7,
5,
1,
4,
2,
2,
4,
2,
6,
6,
3,
3,
4,
4,
3,
4,
4,
4,
4,
3,
2,
2,
5,
4,
4,
4,
2,
4,
2,
3,
4,
2,
2,
4,
4,
4,
3,
3,
4,
4,
5,
3,
3,
4,
3,
3,
4,
3,
2,
4,
4,
3,
2,
3,
4,
2,
3,
2,
3,
3,
4,
3,
2,
2,
4,
4,
4,
4,
2,
2,
2,
3,
2,
2,
4,
2,
4,
4,
2,
4,
3,
2,
4,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
1,
1,
5,
5,
3,
2,
3,
4,
4,
2,
4,
2,
4,
2,
2,
4,
2,
4,
4,
2,
3,
2,
4,
3,
4,
4,
3,
2,
2,
2,
2,
2,
4,
4,
4,
6,
4,
2,
4,
2,
3,
4,
4,
3,
2,
4,
4,
2,
6,
2,
2,
2,
2,
2,
4,
2,
2,
4,
3,
2,
2,
3,
3,
3,
4,
4,
2,
2,
5,
7,
6,
2,
2,
3,
4,
2,
2,
2,
4,
4,
4,
4,
3,
3,
3,
2,
3,
4,
5,
4,
5,
6,
6,
5,
3,
2,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
5,
3,
3,
3,
3,
3,
3,
3,
3,
5,
2,
5,
5,
3,
3,
3,
3,
3,
3,
4,
4,
4,
5,
5,
2,
2,
3,
2,
2,
2,
4,
5,
4,
4,
2,
2,
4,
2,
5,
3,
5,
2,
2,
2,
2,
2,
2,
2,
3,
4,
2,
3,
4,
3,
3,
4,
9,
4,
3,
2,
3,
3,
4,
2,
4,
2,
2,
2,
2,
3,
5,
2,
2,
6,
2,
2,
3,
2,
4,
5,
2,
4,
2,
4,
4,
2,
4,
3,
3,
3,
3,
4,
3,
3,
4,
4,
6,
4,
3,
4,
6,
3,
3,
2,
2,
3,
4,
3,
3,
3,
3,
3,
4,
3,
3,
4,
2,
3,
3,
5,
4,
4,
2,
2,
2,
3,
3,
5,
4,
5,
4,
2,
2,
4,
7,
5,
5,
6,
4,
4,
4,
4,
4,
3,
7,
4,
3,
4,
3,
3,
2,
3,
3,
2,
4,
4,
4,
4,
2,
4,
5,
4,
2,
2,
4,
3,
3,
3,
3,
4,
2,
4,
4,
2,
4,
4,
4,
3,
4,
4,
3,
5,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
5,
3,
4,
4,
4,
2,
4,
2,
3,
2,
3,
3,
3,
3,
5,
3,
4,
4,
5,
5,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
2,
6,
3,
2,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
6,
3,
3,
4,
2,
2,
2,
3,
3,
2,
3,
3,
2,
4,
3,
2,
4,
9,
2,
4,
6,
4,
2,
2,
2,
2,
2,
3,
3,
3,
2,
4,
4,
4,
2,
2,
4,
4,
2,
3,
4,
3,
3,
4,
2,
3,
2,
3,
4,
4,
4,
4,
5,
2,
4,
4,
4,
2,
2,
2,
2,
4,
3,
2,
2,
2,
4,
4,
2,
3,
3,
4,
7,
3,
5,
5,
5,
2,
2,
3,
2,
2,
4,
6,
2,
2,
4,
3,
4,
3,
3,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
4,
3,
2,
7,
5,
4,
4,
4,
4,
4,
3,
4,
1,
3,
2,
2,
2,
2,
2,
2,
2,
1,
4,
2,
2,
5,
5,
3,
3,
3,
5,
2,
5,
5,
4,
2,
2,
4,
2,
2,
3,
4,
3,
1,
2,
2,
2,
3,
5,
2,
3,
1,
3,
3,
4,
4,
8,
5,
2,
3,
3,
3,
2,
4,
4,
2,
2,
2,
3,
3,
4,
2,
2,
6,
2,
1,
1,
1,
2,
2,
1,
3,
4,
4,
3,
2,
4,
3,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
6,
5,
2,
6,
6,
3,
6,
4,
4,
4,
4,
4,
4,
2,
2,
4,
1,
4,
3,
4,
5,
4,
4,
4,
5,
2,
4,
6,
2,
2,
3,
4,
4,
3,
4,
4,
2,
4,
3,
2,
4,
4,
3,
2,
3,
4,
3,
3,
2,
2,
2,
3,
4,
2,
2,
3,
2,
2,
2,
4,
2,
3,
4,
3,
3,
3,
3,
6,
5,
5,
5,
3,
6,
2,
2,
3,
1,
3,
3,
3,
4,
3,
1,
2,
3,
3,
4,
3,
2,
4,
4,
4,
4,
4,
4,
5,
2,
3,
7,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
3,
2,
4,
3,
5,
3,
3,
3,
3,
3,
4,
4,
1,
2,
2,
6,
5,
5,
5,
3,
2,
4,
4,
2,
4,
4,
2,
2,
1,
3,
3,
3,
4,
3,
3,
3,
3,
5,
4,
3,
4,
4,
4,
2,
4,
4,
4,
3,
4,
2,
2,
4,
4,
4,
2,
2,
2,
3,
2,
2,
3,
4,
4,
4,
3,
3,
3,
3,
4,
6,
6,
8,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
3,
3,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
5,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
4,
1,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
4,
2,
2,
2,
3,
3,
3,
4,
3,
3,
1,
2,
2,
2,
3,
3,
4,
4,
4,
4,
4,
6,
2,
4,
4,
3,
4,
4,
3,
3,
1,
3,
3,
2,
2,
2,
3,
3,
4,
5,
4,
2,
5,
3,
2,
4,
4,
4,
4,
3,
4,
4,
4,
3,
3,
4,
5,
2,
3,
4,
4,
5,
4,
2,
5,
3,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
6,
1,
4,
3,
3,
3,
3,
3,
3,
7,
3,
2,
3,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
5,
2,
2,
4,
3,
2,
3,
3,
2,
2,
4,
3,
4,
3,
4,
4,
4,
5,
4,
5,
4,
5,
4,
3,
4,
6,
2,
3,
4,
4,
5,
4,
4,
2,
4,
3,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
6,
5,
4,
4,
5,
4,
4,
4,
6,
2,
2,
4,
3,
6,
8,
6,
3,
3,
4,
5,
5,
5,
3,
2,
3,
4,
2,
2,
3,
2,
5,
6,
2,
2,
2,
4,
2,
2,
3,
4,
3,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
2,
3,
2,
4,
3,
4,
3,
3,
3,
4,
2,
4,
4,
2,
4,
2,
2,
3,
2,
2,
2,
4,
8,
3,
3,
4,
1,
3,
3,
3,
2,
3,
4,
4,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
5,
3,
5,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
4,
3,
3,
3,
2,
2,
5,
3,
4,
2,
4,
3,
5,
5,
4,
6,
6,
4,
4,
3,
7,
3,
3,
3,
2,
2,
1,
4,
2,
4,
3,
2,
2,
3,
3,
4,
4,
2,
2,
2,
3,
3,
4,
2,
4,
4,
2,
2,
2,
2,
3,
4,
3,
4,
4,
4,
6,
2,
6,
2,
4,
2,
3,
4,
4,
4,
4,
3,
3,
5,
3,
4,
3,
4,
4,
3,
3,
3,
3,
3,
2,
5,
4,
3,
2,
6,
4,
4,
3,
2,
3,
4,
2,
2,
2,
5,
2,
2,
3,
2,
4,
5,
6,
2,
4,
4,
3,
3,
4,
7,
4,
3,
4,
4,
2,
3,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
3,
5,
5,
3,
3,
3,
2,
6,
5,
3,
4,
4,
2,
5,
4,
2,
3,
4,
4,
4,
3,
4,
3,
6,
4,
4,
4,
3,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
2,
1,
4,
3,
2,
2,
3,
4,
3,
8,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
5,
3,
4,
2,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
2,
2,
4,
2,
2,
4,
4,
3,
7,
4,
1,
1,
1,
3,
3,
2,
3,
3,
3,
3,
2,
3,
4,
3,
2,
4,
5,
2,
2,
2,
3,
3,
4,
2,
2,
2,
4,
4,
4,
4,
2,
3,
3,
4,
3,
2,
4,
3,
5,
5,
3,
1,
4,
3,
4,
4,
4,
4,
2,
3,
2,
3,
5,
6,
7,
3,
4,
4,
2,
6,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
2,
3,
2,
2,
3,
4,
4,
7,
6,
2,
4,
4,
4,
3,
4,
2,
2,
3,
2,
2,
4,
3,
3,
5,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
4,
4,
2,
2,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
7,
3,
2,
2,
4,
2,
2,
4,
2,
3,
2,
2,
2,
3,
4,
3,
4,
3,
3,
4,
4,
4,
4,
3,
3,
3,
3,
4,
3,
3,
5,
2,
3,
3,
4,
3,
3,
3,
3,
3,
7,
5,
5,
5,
4,
4,
3,
3,
4,
3,
2,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
4,
2,
4,
4,
3,
4,
3,
3,
3,
3,
3,
5,
3,
3,
4,
3,
5,
7,
6,
2,
3,
6,
2,
5,
4,
4,
3,
4,
3,
3,
3,
3,
5,
3,
3,
3,
5,
4,
4,
4,
3,
3,
4,
5,
5,
2,
2,
4,
4,
7,
4,
5,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
5,
3,
2,
3,
4,
4,
4,
4,
2,
2,
3,
2,
4,
4,
3,
2,
2,
3,
3,
2,
3,
2,
2,
4,
7,
3,
3,
4,
5,
5,
6,
5,
5,
2,
3,
3,
2,
4,
3,
4,
4,
2,
5,
4,
4,
4,
4,
3,
4,
5,
3,
2,
4,
3,
5,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
3,
4,
3,
4,
2,
2,
2,
3,
4,
4,
4,
2,
3,
3,
2,
3,
3,
4,
1,
4,
4,
4,
2,
2,
2,
4,
2,
4,
3,
4,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
4,
4,
4,
4,
3,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
2,
3,
4,
6,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
4,
2,
2,
3,
2,
2,
3,
3,
4,
4,
2,
2,
4,
2,
3,
2,
2,
2,
2,
4,
3,
4,
4,
3,
2,
3,
2,
4,
4,
2,
4,
2,
4,
3,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
3,
5,
4,
4,
4,
4,
4,
3,
4,
4,
3,
3,
4,
2,
2,
2,
2,
5,
4,
3,
4,
2,
4,
4,
3,
3,
5,
6,
3,
4,
4,
2,
2,
3,
3,
3,
5,
6,
4,
3,
5,
4,
4,
2,
4,
5,
3,
3,
4,
3,
2,
3,
2,
2,
3,
3,
3,
3,
4,
4,
3,
3,
4,
3,
5,
6,
5,
2,
4,
5,
3,
4,
2,
3,
2,
3,
3,
4,
2,
3,
2,
3,
4,
2,
4,
3,
5,
4,
3,
5,
5,
3,
3,
3,
3,
2,
2,
4,
6,
3,
4,
2,
2,
2,
2,
3,
3,
4,
3,
2,
3,
1,
3,
3,
1,
1,
3,
5,
3,
4,
4,
3,
2,
2,
3,
4,
4,
4,
4,
4,
3,
4,
3,
3,
3,
5,
2,
6,
3,
4,
3,
2,
3,
3,
3,
4,
2,
4,
5,
5,
2,
4,
2,
3,
3,
3,
3,
4,
3,
2,
2,
2,
2,
3,
4,
2,
2,
4,
4,
5,
5,
1,
5,
4,
2,
2,
5,
2,
4,
4,
4,
3,
4,
3,
4,
3,
2,
3,
2,
4,
3,
5,
5,
5,
5,
3,
3,
3,
3,
1,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
2,
5,
4,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
5,
5,
5,
5,
4,
4,
4,
5,
2,
3,
2,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
7,
8,
6,
4,
3,
4,
4,
2,
3,
2,
5,
4,
3,
5,
2,
5,
4,
2,
3,
3,
3,
3,
2,
4,
6,
4,
4,
2,
2,
3,
3,
7,
3,
4,
4,
3,
4,
3,
5,
3,
3,
3,
3,
3,
3,
3,
2,
3,
5,
4,
2,
2,
3,
3,
4,
3,
3,
4,
4,
6,
2,
2,
2,
2,
2,
2,
4,
4,
5,
2,
3,
4,
2,
2,
4,
3,
4,
4,
3,
5,
4,
3,
3,
4,
4,
5,
7,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
3,
4,
2,
4,
4,
5,
4,
4,
3,
3,
2,
3,
6,
2,
2,
2,
2,
3,
4,
4,
2,
2,
4,
4,
4,
3,
3,
3,
2,
2,
3,
3,
3,
3,
4,
4,
5,
4,
5,
3,
3,
3,
3,
6,
4,
5,
4,
6,
3,
3,
4,
2,
3,
4,
2,
4,
3,
3,
2,
2,
4,
3,
3,
3,
2,
2,
1,
2,
2,
2,
5,
2,
4,
5,
4,
4,
4,
3,
2,
4,
3,
2,
2,
2,
3,
3,
3,
4,
3,
3,
4,
2,
3,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
1,
2,
2,
2,
4,
4,
4,
4,
1,
3,
2,
2,
4,
5,
4,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
5,
2,
2,
3,
2,
4,
4,
3,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
4,
3,
3,
4,
2,
2,
3,
4,
4,
2,
4,
4,
2,
2,
1,
2,
4,
2,
3,
3,
7,
2,
2,
3,
4,
5,
4,
3,
4,
3,
3,
4,
2,
3,
4,
3,
3,
2,
5,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
2,
4,
4,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
4,
4,
3,
2,
3,
4,
2,
2,
3,
6,
6,
4,
3,
3,
3,
2,
2,
2,
5,
3,
3,
3,
2,
3,
2,
3,
2,
3,
2,
5,
2,
4,
2,
2,
3,
2,
4,
4,
3,
3,
4,
3,
3,
4,
5,
3,
2,
4,
4,
5,
6,
3,
6,
4,
4,
8,
5,
2,
3,
2,
2,
2,
2,
3,
6,
5,
3,
7,
4,
4,
5,
2,
4,
4,
3,
3,
3,
3,
4,
4,
4,
3,
4,
4,
3,
3,
3,
3,
4,
4,
3,
3,
2,
3,
4,
3,
4,
2,
2,
3,
3,
3,
2,
5,
3,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
4,
2,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
3,
2,
2,
4,
2,
4,
4,
2,
2,
3,
2,
2,
4,
2,
2,
2,
3,
2,
4,
2,
3,
3,
3,
3,
4,
5,
2,
3,
4,
4,
4,
2,
3,
5,
4,
2,
2,
4,
3,
3,
3,
3,
4,
2,
2,
4,
3,
4,
4,
4,
2,
3,
3,
2,
3,
2,
2,
2,
3,
2,
4,
4,
4,
4,
6,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
1,
4,
2,
3,
3,
4,
4,
2,
4,
3,
2,
3,
3,
5,
3,
3,
3,
3,
2,
2,
2,
2,
5,
5,
4,
4,
4,
2,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
4,
4,
8,
4,
4,
3,
6,
3,
4,
4,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
1,
3,
3,
3,
4,
2,
4,
4,
2,
4,
4,
4,
3,
2,
4,
3,
3,
3,
3,
4,
4,
2,
4,
3,
5,
4,
3,
4,
4,
4,
2,
3,
2,
4,
5,
2,
5,
3,
4,
4,
4,
4,
5,
5,
2,
2,
4,
4,
4,
5,
5,
3,
4,
4,
4,
3,
2,
7,
5,
7,
4,
6,
4,
4,
3,
1,
3,
3,
4,
4,
3,
2,
2,
2,
5,
5,
1,
4,
7,
2,
2,
4,
2,
4,
4,
4,
3,
3,
3,
2,
2,
2,
4,
3,
3,
2,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
4,
2,
1,
5,
2,
3,
2,
3,
4,
3,
4,
5,
5,
2,
6,
4,
3,
4,
3,
3,
4,
4,
2,
4,
4,
2,
3,
3,
2,
4,
4,
2,
2,
3,
2,
3,
2,
4,
4,
4,
4,
2,
5,
4,
4,
4,
4,
2,
3,
4,
6,
4,
3,
4,
5,
5,
4,
4,
3,
2,
2,
2,
3,
4,
3,
2,
5,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
4,
4,
6,
3,
4,
4,
2,
4,
4,
2,
4,
4,
2,
2,
3,
3,
5,
4,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
8,
2,
3,
2,
4,
2,
5,
5,
4,
1,
3,
4,
4,
4,
2,
5,
5,
2,
3,
3,
3,
2,
3,
2,
2,
2,
2,
3,
2,
3,
3,
4,
4,
3,
4,
3,
3,
2,
6,
2,
6,
5,
3,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
4,
3,
3,
2,
2,
2,
2,
3,
2,
4,
2,
4,
3,
2,
3,
4,
4,
4,
4,
2,
4,
4,
3,
4,
3,
4,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
4,
3,
2,
2,
3,
3,
6,
2,
4,
6,
4,
4,
3,
4,
4,
2,
4,
4,
4,
3,
4,
5,
5,
3,
5,
3,
4,
4,
2,
3,
4,
4,
3,
3,
3,
3,
4,
2,
2,
3,
3,
3,
5,
5,
4,
4,
3,
3,
2,
3,
5,
5,
4,
4,
3,
4,
4,
2,
3,
3,
2,
3,
3,
3,
3,
4,
4,
4,
3,
4,
3,
2,
4,
4,
4,
2,
2,
6,
4,
4,
2,
2,
2,
5,
4,
2,
3,
4,
2,
2,
2,
4,
4,
4,
3,
3,
4,
4,
4,
2,
4,
2,
3,
6,
4,
5,
2,
3,
3,
3,
4,
3,
2,
3,
3,
2,
6,
3,
6,
2,
2,
4,
2,
2,
2,
3,
3,
3,
2,
3,
3,
4,
2,
1,
4,
4,
4,
4,
4,
2,
3,
4,
3,
3,
2,
2,
7,
4,
4,
4,
4,
3,
5,
3,
3,
5,
5,
4,
2,
4,
4,
5,
5,
4,
2,
2,
4,
4,
4,
4,
3,
3,
2,
3,
2,
2,
1,
1,
4,
3,
2,
3,
3,
4,
3,
4,
3,
4,
3,
2,
4,
4,
3,
2,
3,
4,
4,
4,
3,
6,
5,
4,
5,
2,
1,
2,
2,
4,
2,
4,
2,
4,
4,
4,
4,
3,
3,
3,
2,
3,
5,
2,
3,
3,
3,
2,
2,
2,
2,
4,
3,
4,
3,
2,
4,
2,
3,
3,
2,
4,
4,
4,
3,
3,
4,
2,
4,
5,
5,
4,
1,
4,
4,
3,
6,
3,
4,
2,
2,
4,
2,
3,
5,
4,
3,
4,
4,
5,
4,
2,
2,
2,
2,
2,
2,
3,
6,
3,
3,
5,
3,
4,
4,
4,
4,
4,
4,
1,
2,
2,
4,
4,
4,
2,
2,
3,
4,
3,
3,
4,
3,
3,
3,
4,
2,
4,
4,
5,
4,
4,
3,
3,
2,
4,
4,
3,
4,
2,
2,
2,
2,
2,
4,
4,
4,
2,
3,
4,
4,
5,
2,
3,
4,
2,
2,
4,
4,
4,
3,
2,
2,
2,
3,
3,
4,
4,
3,
8,
4,
4,
1,
3,
3,
3,
2,
4,
4,
4,
4,
3,
3,
3,
4,
2,
4,
4,
4,
2,
3,
5,
5,
5,
4,
4,
3,
4,
4,
2,
4,
4,
4,
4,
2,
4,
2,
4,
2,
2,
2,
3,
4,
2,
2,
2,
3,
4,
2,
7,
4,
3,
4,
4,
3,
4,
3,
4,
4,
2,
5,
4,
6,
2,
3,
4,
3,
4,
3,
3,
2,
2,
4,
2,
2,
4,
5,
2,
2,
3,
1,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
2,
3,
2,
5,
3,
2,
2,
4,
2,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
4,
3,
2,
4,
4,
3,
5,
6,
4,
6,
6,
5,
2,
2,
4,
3,
2,
2,
3,
3,
3,
4,
2,
3,
2,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
4,
5,
4,
2,
2,
5,
2,
3,
3,
3,
3,
3,
2,
3,
4,
3,
2,
2,
5,
4,
4,
2,
4,
4,
4,
3,
6,
4,
6,
6,
2,
4,
6,
4,
3,
5,
6,
5,
5,
2,
3,
2,
1,
2,
4,
3,
4,
4,
2,
5,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
4,
4,
5,
2,
3,
5,
3,
3,
2,
5,
4,
2,
2,
4,
2,
2,
4,
4,
4,
4,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
2,
2,
4,
2,
2,
2,
2,
6,
6,
5,
4,
4,
4,
2,
2,
2,
1,
2,
2,
3,
2,
1,
4,
3,
4,
4,
5,
3,
4,
2,
5,
5,
2,
2,
3,
4,
4,
7,
3,
4,
4,
3,
5,
2,
4,
5,
5,
7,
5,
4,
4,
4,
4,
4,
3,
3,
5,
4,
4,
4,
2,
4,
2,
5,
4,
4,
4,
2,
4,
2,
3,
3,
4,
4,
2,
3,
3,
5,
3,
4,
4,
3,
3,
5,
5,
3,
2,
2,
4,
2,
2,
5,
3,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
1,
1,
2,
2,
3,
1,
2,
4,
4,
4,
2,
1,
4,
4,
3,
2,
3,
1,
4,
4,
6,
5,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
2,
3,
4,
4,
4,
3,
4,
4,
3,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
2,
2,
3,
3,
3,
4,
2,
4,
3,
5,
3,
3,
6,
3,
2,
2,
2,
2,
5,
2,
3,
5,
4,
2,
4,
4,
2,
3,
2,
4,
3,
4,
3,
4,
4,
3,
2,
4,
4,
3,
2,
2,
4,
2,
2,
4,
3,
3,
2,
3,
2,
2,
3,
2,
3,
2,
2,
5,
4,
4,
4,
2,
4,
5,
2,
3,
2,
4,
5,
2,
4,
4,
2,
3,
3,
3,
3,
4,
3,
6,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
8,
3,
3,
3,
3,
3,
4,
3,
2,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
6,
4,
4,
2,
6,
4,
1,
4,
4,
3,
3,
3,
3,
3,
2,
3,
2,
4,
2,
3,
3,
2,
2,
4,
2,
5,
3,
3,
3,
4,
3,
3,
3,
3,
3,
4,
3,
2,
4,
4,
2,
3,
4,
3,
3,
3,
3,
2,
2,
3,
2,
4,
4,
4,
2,
4,
4,
7,
3,
2,
2,
3,
2,
2,
5,
4,
4,
2,
3,
2,
4,
3,
4,
2,
2,
3,
3,
3,
4,
3,
5,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
5,
3,
3,
4,
4,
4,
4,
4,
7,
1,
4,
4,
3,
2,
2,
4,
3,
4,
3,
2,
3,
3,
2,
5,
4,
2,
2,
2,
4,
2,
4,
4,
1,
5,
4,
4,
3,
2,
3,
4,
3,
4,
4,
3,
2,
2,
2,
3,
3,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
3,
3,
2,
5,
4,
4,
1,
2,
2,
3,
3,
2,
2,
5,
3,
3,
3,
3,
3,
4,
2,
2,
4,
2,
3,
2,
4,
4,
4,
3,
3,
4,
4,
1,
2,
2,
5,
3,
4,
2,
3,
4,
4,
4,
4,
4,
2,
4,
4,
6,
4,
3,
4,
4,
4,
4,
5,
2,
5,
1,
2,
3,
3,
3,
1,
6,
5,
2,
5,
2,
2,
4,
3,
2,
2,
2,
2,
2,
3,
2,
3,
3,
4,
2,
2,
2,
3,
2,
3,
2,
3,
5,
4,
5,
3,
3,
4,
4,
4,
3,
4,
2,
2,
3,
5,
5,
4,
4,
2,
2,
2,
3,
5,
3,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
2,
3,
3,
3,
4,
3,
3,
2,
2,
4,
5,
3,
2,
2,
3,
4,
4,
3,
1,
2,
2,
3,
4,
5,
5,
2,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
5,
4,
4,
4,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
2,
3,
4,
3,
3,
2,
5,
5,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
4,
4,
3,
2,
3,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
5,
4,
3,
2,
3,
3,
3,
7,
4,
2,
4,
3,
4,
2,
3,
3,
2,
3,
4,
4,
2,
4,
3,
3,
3,
3,
4,
3,
1,
6,
3,
4,
3,
3,
2,
4,
4,
4,
4,
4,
2,
5,
4,
3,
2,
3,
3,
3,
4,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
5,
4,
2,
2,
4,
3,
2,
2,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
5,
5,
3,
5,
3,
2,
2,
2,
2,
1,
3,
2,
4,
3,
7,
2,
3,
3,
4,
4,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
5,
3,
4,
3,
3,
4,
5,
3,
2,
3,
2,
2,
2,
3,
5,
4,
3,
3,
4,
2,
2,
4,
4,
5,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
1,
2,
3,
3,
3,
2,
3,
3,
4,
4,
2,
2,
2,
7,
2,
4,
5,
3,
3,
3,
3,
5,
3,
4,
7,
3,
2,
2,
3,
4,
2,
2,
4,
3,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
4,
4,
3,
5,
6,
4,
2,
4,
2,
2,
2,
3,
3,
5,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
4,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
6,
3,
4,
2,
4,
2,
2,
2,
2,
6,
2,
2,
4,
4,
4,
2,
3,
2,
2,
1,
2,
5,
3,
3,
2,
4,
2,
3,
2,
2,
4,
4,
2,
4,
4,
4,
4,
5,
5,
5,
4,
3,
4,
2,
2,
2,
2,
2,
4,
4,
5,
5,
4,
3,
4,
5,
4,
2,
3,
2,
2,
2,
3,
2,
2,
2,
4,
4,
5,
5,
4,
5,
3,
3,
4,
4,
4,
2,
3,
2,
3,
3,
5,
3,
2,
3,
3,
2,
2,
5,
4,
4,
1,
5,
5,
5,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
2,
3,
6,
3,
5,
3,
6,
2,
2,
3,
3,
3,
6,
3,
4,
3,
2,
6,
1,
4,
2,
3,
3,
3,
3,
4,
6,
2,
2,
3,
2,
2,
3,
4,
4,
2,
3,
3,
1,
3,
4,
4,
4,
2,
2,
2,
4,
2,
3,
4,
3,
3,
3,
3,
3,
2,
2,
3,
2,
3,
3,
3,
2,
4,
5,
3,
4,
4,
3,
4,
4,
3,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
5,
2,
3,
3,
4,
2,
3,
7,
5,
3,
5,
3,
3,
2,
3,
2,
4,
4,
2,
2,
3,
3,
3,
5,
3,
2,
3,
3,
3,
4,
3,
2,
3,
4,
3,
2,
3,
3,
3,
3,
2,
4,
4,
3,
3,
2,
4,
4,
3,
4,
7,
2,
5,
5,
5,
4,
3,
3,
5,
5,
4,
4,
3,
4,
2,
3,
3,
2,
5,
4,
3,
2,
2,
2,
2,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
3,
2,
5,
4,
2,
2,
4,
3,
3,
3,
3,
2,
2,
2,
4,
2,
3,
3,
4,
4,
3,
3,
2,
3,
2,
2,
3,
2,
3,
3,
3,
5,
4,
4,
3,
4,
4,
3,
4,
4,
2,
2,
3,
2,
2,
4,
4,
4,
5,
3,
5,
2,
3,
2,
2,
3,
7,
5,
4,
5,
2,
4,
4,
3,
3,
4,
2,
5,
5,
3,
5,
3,
3,
4,
2,
3,
2,
2,
2,
3,
2,
3,
4,
2,
4,
2,
2,
2,
2,
4,
3,
3,
4,
2,
2,
3,
4,
4,
4,
4,
4,
2,
4,
5,
4,
3,
2,
1,
5,
2,
4,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
2,
1,
4,
1,
3,
4,
5,
4,
4,
4,
4,
3,
3,
3,
3,
3,
6,
2,
4,
4,
3,
7,
4,
4,
4,
4,
4,
3,
4,
3,
2,
2,
4,
2,
3,
5,
2,
1,
3,
4,
5,
2,
2,
4,
6,
5,
3,
3,
4,
3,
4,
2,
4,
4,
2,
4,
3,
4,
2,
4,
3,
4,
4,
5,
4,
4,
4,
4,
2,
3,
3,
2,
4,
4,
2,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
4,
3,
5,
3,
4,
8,
4,
4,
2,
5,
4,
2,
2,
3,
2,
4,
2,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
4,
4,
6,
4,
3,
2,
3,
2,
4,
2,
3,
4,
2,
3,
2,
3,
2,
4,
3,
2,
5,
3,
3,
3,
3,
6,
7,
4,
5,
2,
2,
2,
6,
4,
4,
5,
4,
4,
5,
3,
3,
3,
1,
1,
3,
4,
2,
4,
5,
3,
2,
5,
2,
2,
2,
2,
2,
3,
3,
5,
5,
6,
4,
4,
4,
4,
6,
2,
3,
4,
3,
2,
3,
3,
3,
2,
4,
4,
3,
3,
2,
4,
3,
2,
3,
3,
2,
3,
3,
3,
3,
4,
2,
4,
4,
2,
3,
2,
2,
2,
2,
3,
2,
4,
5,
4,
4,
4,
2,
2,
3,
4,
4,
3,
3,
4,
4,
2,
3,
5,
2,
4,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
5,
7,
3,
2,
2,
2,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
1,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
5,
4,
2,
4,
3,
4,
4,
5,
4,
3,
4,
2,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
3,
2,
3,
2,
6,
5,
4,
2,
4,
2,
4,
2,
2,
2,
2,
4,
4,
3,
4,
3,
4,
4,
2,
2,
4,
2,
6,
4,
8,
3,
4,
4,
3,
2,
2,
4,
5,
1,
3,
6,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
3,
3,
4,
4,
4,
2,
2,
2,
3,
4,
2,
4,
2,
2,
4,
2,
2,
3,
2,
2,
4,
2,
5,
2,
4,
5,
4,
2,
2,
3,
5,
2,
4,
2,
2,
2,
3,
4,
2,
3,
3,
3,
3,
2,
2,
5,
6,
4,
4,
3,
3,
5,
2,
3,
4,
5,
4,
4,
4,
3,
4,
2,
3,
2,
3,
2,
3,
4,
2,
4,
2,
3,
3,
2,
1,
3,
3,
3,
3,
4,
4,
2,
4,
5,
2,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
3,
2,
2,
4,
4,
3,
3,
4,
3,
2,
2,
2,
4,
4,
4,
2,
3,
4,
4,
4,
2,
4,
4,
2,
2,
4,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
2,
3,
2,
2,
3,
2,
4,
3,
3,
4,
4,
4,
3,
3,
4,
2,
2,
4,
4,
2,
1,
4,
4,
4,
4,
2,
3,
2,
4,
2,
3,
4,
4,
5,
3,
2,
2,
2,
2,
1,
1,
1,
7,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
2,
2,
4,
4,
4,
2,
3,
4,
3,
3,
4,
3,
2,
4,
2,
2,
2,
4,
4,
2,
5,
5,
3,
4,
4,
2,
2,
5,
4,
3,
4,
3,
3,
3,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
6,
4,
4,
2,
3,
2,
2,
4,
2,
2,
4,
4,
4,
3,
5,
4,
4,
4,
4,
4,
2,
4,
2,
3,
2,
7,
6,
3,
2,
2,
4,
3,
2,
3,
3,
3,
3,
3,
2,
4,
4,
2,
2,
2,
3,
3,
4,
6,
4,
4,
4,
4,
2,
3,
3,
4,
4,
3,
2,
2,
5,
2,
3,
3,
6,
4,
5,
4,
2,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
4,
4,
5,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
5,
5,
2,
3,
2,
3,
4,
3,
3,
3,
4,
5,
2,
3,
2,
3,
4,
1,
2,
2,
1,
2,
3,
4,
2,
5,
3,
4,
3,
3,
4,
3,
5,
2,
2,
5,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
3,
2,
2,
2,
2,
4,
5,
4,
2,
2,
2,
2,
3,
5,
2,
2,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
1,
3,
4,
2,
4,
4,
2,
2,
4,
3,
2,
4,
2,
4,
5,
2,
2,
2,
5,
4,
2,
3,
3,
3,
6,
5,
5,
2,
4,
2,
3,
2,
2,
3,
6,
2,
4,
4,
4,
3,
2,
2,
2,
3,
3,
4,
3,
2,
2,
2,
4,
4,
4,
3,
3,
2,
4,
4,
2,
4,
2,
5,
2,
3,
4,
4,
3,
4,
2,
4,
4,
3,
2,
3,
3,
2,
2,
4,
4,
4,
4,
4,
2,
3,
4,
3,
3,
3,
2,
3,
3,
3,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
4,
3,
2,
4,
2,
3,
1,
3,
2,
4,
2,
3,
4,
4,
3,
3,
2,
2,
4,
3,
2,
5,
5,
4,
2,
4,
2,
2,
4,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
4,
3,
5,
6,
4,
6,
6,
3,
2,
4,
3,
2,
2,
2,
5,
5,
4,
4,
2,
4,
5,
2,
2,
3,
2,
4,
4,
4,
4,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
4,
5,
4,
3,
2,
3,
2,
3,
4,
4,
3,
4,
2,
2,
3,
3,
5,
3,
3,
2,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
6,
6,
2,
2,
5,
2,
8,
2,
2,
2,
3,
4,
4,
2,
2,
3,
4,
4,
2,
3,
2,
4,
4,
4,
5,
3,
2,
4,
2,
3,
4,
4,
3,
3,
3,
4,
3,
2,
4,
2,
3,
2,
2,
4,
4,
4,
2,
2,
5,
6,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
5,
3,
3,
3,
5,
2,
5,
7,
2,
2,
2,
7,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
2,
4,
2,
3,
4,
3,
2,
3,
3,
3,
3,
4,
2,
2,
2,
5,
4,
4,
4,
4,
5,
4,
5,
4,
4,
4,
3,
4,
3,
4,
2,
2,
2,
4,
4,
2,
2,
5,
5,
2,
3,
4,
4,
2,
2,
4,
3,
4,
3,
3,
2,
3,
2,
3,
3,
2,
2,
3,
4,
2,
2,
2,
2,
4,
6,
2,
3,
2,
3,
2,
3,
2,
3,
3,
2,
4,
2,
4,
4,
2,
2,
4,
2,
4,
4,
4,
4,
2,
4,
3,
2,
4,
4,
2,
3,
3,
2,
4,
3,
3,
3,
3,
2,
3,
2,
2,
2,
4,
4,
4,
3,
3,
3,
6,
2,
4,
7,
2,
2,
2,
2,
1,
4,
4,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
4,
3,
4,
4,
5,
4,
3,
3,
3,
2,
3,
3,
3,
3,
6,
3,
2,
2,
2,
2,
2,
2,
4,
3,
8,
8,
3,
2,
3,
3,
3,
3,
3,
2,
2,
3,
3,
5,
3,
4,
3,
2,
6,
2,
2,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
3,
6,
3,
3,
3,
3,
4,
2,
2,
4,
7,
3,
5,
7,
4,
2,
6,
4,
4,
3,
1,
2,
2,
2,
4,
2,
4,
4,
4,
2,
4,
3,
3,
4,
2,
3,
3,
4,
3,
4,
2,
2,
2,
3,
2,
4,
3,
3,
4,
4,
4,
4,
5,
5,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
3,
2,
2,
4,
4,
2,
4,
3,
2,
3,
3,
2,
4,
3,
4,
4,
4,
4,
3,
2,
6,
6,
4,
7,
8,
4,
8,
5,
3,
3,
3,
3,
3,
5,
3,
2,
3,
3,
5,
2,
5,
6,
6,
4,
5,
4,
4,
4,
3,
3,
2,
3,
2,
5,
2,
5,
2,
1,
4,
4,
4,
2,
2,
2,
4,
2,
5,
5,
2,
3,
5,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
2,
5,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
4,
4,
2,
4,
4,
3,
4,
4,
4,
4,
3,
2,
3,
3,
8,
2,
2,
4,
2,
2,
3,
2,
4,
2,
2,
2,
3,
3,
4,
2,
2,
7,
6,
3,
2,
5,
2,
6,
3,
3,
2,
4,
4,
2,
4,
3,
3,
4,
2,
2,
3,
4,
4,
2,
4,
5,
5,
5,
5,
2,
2,
4,
4,
4,
5,
4,
4,
4,
7,
2,
3,
2,
2,
3,
2,
3,
2,
5,
3,
2,
7,
5,
2,
5,
5,
3,
4,
3,
4,
5,
3,
3,
3,
3,
5,
5,
2,
8,
3,
3,
2,
2,
4,
2,
4,
3,
3,
3,
3,
7,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
4,
2,
2,
3,
3,
6,
5,
5,
3,
8,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
1,
4,
6,
7,
4,
3,
4,
3,
4,
3,
3,
3,
3,
5,
4,
2,
2,
2,
2,
2,
3,
2,
2,
4,
3,
3,
3,
2,
2,
3,
3,
2,
3,
3,
2,
4,
3,
6,
2,
4,
3,
3,
2,
3,
5,
3,
4,
2,
2,
4,
4,
5,
3,
2,
2,
4,
3,
4,
3,
6,
3,
3,
4,
3,
3,
4,
2,
3,
5,
4,
3,
2,
4,
3,
3,
4,
4,
4,
3,
6,
4,
2,
3,
3,
2,
4,
3,
2,
2,
3,
4,
3,
2,
2,
3,
4,
4,
4,
2,
6,
1,
2,
2,
6,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
5,
2,
3,
2,
2,
3,
4,
3,
3,
2,
3,
3,
2,
2,
5,
2,
4,
2,
3,
3,
2,
2,
3,
5,
4,
7,
4,
5,
5,
1,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
2,
5,
2,
2,
2,
3,
3,
3,
2,
4,
4,
7,
2,
4,
4,
3,
2,
2,
4,
2,
2,
2,
4,
2,
3,
2,
2,
2,
2,
4,
3,
5,
3,
2,
5,
3,
5,
3,
2,
3,
2,
2,
3,
2,
2,
2,
4,
5,
4,
2,
2,
4,
3,
3,
4,
4,
2,
2,
2,
3,
3,
4,
3,
4,
2,
3,
4,
4,
5,
4,
6,
3,
4,
4,
3,
4,
2,
2,
5,
2,
3,
2,
2,
3,
3,
3,
4,
4,
2,
3,
2,
2,
2,
2,
5,
2,
2,
2,
3,
3,
4,
4,
2,
4,
3,
3,
3,
2,
3,
3,
4,
4,
4,
2,
3,
3,
3,
2,
3,
3,
2,
3,
5,
6,
6,
4,
4,
2,
4,
4,
2,
2,
2,
5,
3,
5,
2,
2,
4,
2,
6,
5,
4,
3,
4,
4,
2,
3,
2,
4,
3,
2,
2,
2,
4,
4,
3,
4,
4,
3,
3,
4,
2,
2,
3,
2,
2,
2,
4,
4,
5,
2,
3,
3,
3,
2,
4,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
4,
2,
2,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
6,
6,
1,
3,
3,
3,
3,
2,
4,
3,
2,
4,
3,
3,
2,
2,
5,
4,
4,
3,
3,
2,
2,
3,
3,
4,
3,
3,
2,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
2,
4,
5,
2,
3,
5,
2,
8,
1,
3,
2,
6,
4,
4,
3,
3,
3,
4,
3,
3,
4,
3,
2,
3,
3,
4,
2,
4,
2,
3,
2,
2,
2,
2,
3,
2,
3,
4,
4,
3,
5,
2,
2,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
6,
3,
3,
3,
3,
2,
4,
2,
2,
2,
3,
3,
2,
2,
2,
2,
4,
4,
3,
2,
3,
5,
3,
2,
4,
2,
2,
5,
3,
4,
3,
4,
4,
2,
2,
3,
3,
3,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
4,
3,
3,
3,
4,
2,
4,
3,
2,
5,
2,
4,
3,
2,
5,
5,
4,
4,
3,
6,
4,
4,
3,
2,
2,
2,
2,
3,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
4,
3,
4,
4,
2,
4,
3,
4,
4,
3,
4,
2,
2,
2,
2,
1,
3,
4,
4,
2,
4,
2,
2,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
3,
4,
3,
4,
4,
2,
4,
4,
2,
4,
3,
4,
3,
2,
2,
4,
2,
4,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
4,
2,
3,
4,
2,
1,
3,
2,
2,
4,
3,
4,
4,
4,
4,
2,
4,
2,
4,
4,
4,
3,
2,
2,
3,
3,
3,
3,
2,
2,
4,
4,
2,
6,
4,
7,
6,
3,
3,
2,
2,
3,
4,
4,
3,
4,
2,
2,
2,
4,
2,
1,
3,
4,
2,
2,
2,
3,
2,
2,
3,
3,
3,
4,
7,
5,
5,
4,
5,
5,
4,
2,
2,
3,
3,
3,
2,
2,
2,
4,
2,
2,
3,
3,
3,
4,
2,
3,
2,
3,
2,
3,
5,
4,
4,
2,
4,
6,
4,
6,
4,
4,
4,
5,
2,
3,
3,
1,
5,
5,
5,
4,
4,
4,
4,
4,
4,
4,
3,
2,
5,
3,
2,
2,
3,
7,
3,
2,
2,
2,
2,
3,
3,
3,
2,
3,
4,
2,
2,
4,
2,
4,
3,
4,
4,
2,
3,
4,
2,
3,
2,
2,
4,
3,
4,
4,
3,
4,
3,
3,
3,
4,
4,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
5,
5,
4,
4,
3,
4,
4,
4,
6,
3,
2,
3,
4,
2,
4,
4,
2,
6,
4,
2,
3,
3,
2,
2,
2,
4,
2,
2,
3,
3,
2,
3,
3,
4,
3,
7,
3,
4,
3,
4,
3,
2,
2,
1,
4,
5,
3,
5,
3,
4,
4,
1,
2,
4,
4,
3,
3,
4,
2,
2,
4,
3,
3,
2,
3,
3,
2,
3,
2,
2,
4,
4,
3,
4,
2,
2,
3,
4,
3,
5,
3,
1,
4,
4,
3,
4,
2,
3,
2,
2,
3,
3,
2,
1,
5,
7,
5,
2,
3,
3,
2,
5,
7,
3,
6,
2,
2,
4,
4,
4,
3,
2,
2,
4,
5,
5,
4,
4,
4,
4,
3,
4,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
6,
6,
4,
6,
4,
3,
2,
3,
3,
3,
3,
2,
3,
3,
1,
6,
5,
2,
2,
2,
5,
4,
2,
2,
4,
2,
2,
2,
3,
3,
3,
3,
3,
2,
4,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
5,
3,
3,
3,
2,
2,
4,
2,
4,
4,
2,
4,
5,
6,
4,
3,
3,
4,
4,
1,
3,
3,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
3,
4,
5,
4,
5,
4,
2,
2,
2,
2,
4,
4,
3,
4,
5,
4,
7,
4,
6,
3,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
3,
2,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
4,
2,
2,
3,
5,
4,
2,
2,
3,
2,
2,
3,
3,
4,
2,
4,
2,
2,
2,
2,
4,
4,
2,
1,
2,
2,
2,
3,
2,
3,
2,
2,
3,
3,
4,
3,
2,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
4,
1,
6,
3,
5,
4,
1,
2,
2,
3,
2,
3,
3,
2,
4,
4,
3,
2,
4,
1,
3,
3,
7,
4,
4,
2,
6,
2,
4,
3,
1,
4,
1,
2,
3,
3,
1,
4,
2,
2,
2,
2,
2,
3,
4,
3,
6,
2,
3,
2,
3,
4,
4,
2,
4,
2,
2,
4,
4,
3,
2,
2,
3,
2,
2,
2,
1,
1,
3,
3,
3,
2,
1,
3,
3,
4,
3,
3,
3,
4,
4,
3,
4,
2,
4,
3,
3,
2,
3,
3,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
2,
3,
6,
2,
2,
2,
2,
3,
2,
2,
3,
3,
4,
2,
4,
2,
2,
2,
2,
4,
4,
4,
5,
5,
3,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
4,
2,
3,
2,
2,
4,
2,
2,
2,
3,
5,
2,
4,
2,
4,
3,
3,
3,
4,
3,
5,
2,
3,
4,
2,
5,
4,
3,
3,
2,
3,
4,
3,
3,
3,
3,
2,
4,
7,
4,
4,
4,
2,
2,
4,
5,
5,
4,
2,
4,
3,
3,
4,
7,
2,
2,
3,
2,
3,
5,
6,
3,
3,
1,
4,
3,
2,
4,
4,
4,
3,
3,
3,
6,
3,
3,
3,
2,
4,
4,
2,
3,
3,
2,
2,
5,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
2,
2,
3,
5,
2,
3,
3,
1,
6,
9,
3,
5,
7,
5,
4,
3,
3,
3,
3,
4,
2,
6,
4,
4,
2,
2,
8,
2,
3,
3,
5,
4,
4,
2,
2,
3,
2,
5,
3,
3,
3,
3,
4,
4,
3,
3,
4,
2,
3,
3,
3,
2,
2,
3,
2,
3,
2,
2,
2,
4,
5,
4,
3,
3,
2,
2,
4,
4,
3,
4,
2,
3,
4,
3,
3,
3,
4,
2,
4,
2,
2,
4,
4,
3,
3,
2,
3,
3,
2,
2,
2,
3,
4,
2,
2,
3,
4,
4,
3,
4,
2,
2,
2,
2,
3,
4,
2,
2,
2,
4,
2,
2,
2,
2,
5,
2,
2,
2,
3,
3,
4,
2,
2,
3,
2,
4,
3,
3,
3,
3,
4,
2,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
3,
4,
2,
4,
2,
4,
4,
4,
4,
5,
5,
3,
3,
2,
2,
2,
4,
2,
2,
4,
2,
2,
4,
4,
5,
5,
3,
5,
4,
4,
5,
6,
3,
5,
4,
2,
2,
2,
2,
4,
3,
3,
5,
1,
2,
7,
4,
4,
2,
2,
3,
3,
2,
4,
4,
2,
3,
2,
2,
2,
2,
4,
4,
3,
5,
2,
4,
3,
2,
3,
2,
3,
3,
6,
3,
2,
3,
2,
2,
3,
2,
3,
4,
4,
2,
2,
3,
4,
4,
4,
5,
4,
4,
3,
3,
2,
3,
4,
5,
3,
2,
4,
4,
4,
2,
3,
4,
3,
1,
3,
3,
3,
3,
2,
3,
3,
3,
5,
4,
3,
4,
1,
4,
2,
2,
2,
2,
4,
4,
4,
4,
5,
4,
2,
2,
3,
2,
2,
3,
2,
3,
4,
4,
2,
4,
4,
3,
3,
3,
2,
2,
4,
4,
4,
2,
2,
5,
2,
4,
5,
3,
3,
3,
3,
4,
1,
3,
3,
4,
2,
2,
2,
4,
3,
2,
4,
4,
4,
2,
3,
4,
2,
3,
3,
3,
2,
2,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
2,
3,
5,
4,
4,
5,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
4,
3,
2,
2,
3,
4,
4,
4,
4,
4,
5,
3,
3,
4,
4,
4,
2,
5,
4,
3,
5,
3,
3,
2,
2,
2,
4,
7,
4,
4,
4,
4,
3,
2,
5,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
1,
3,
4,
4,
4,
3,
3,
3,
4,
4,
3,
3,
2,
3,
3,
2,
4,
2,
2,
1,
4,
4,
2,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
7,
3,
2,
2,
3,
3,
3,
2,
1,
2,
2,
1,
3,
4,
4,
4,
5,
5,
3,
2,
4,
4,
4,
4,
3,
3,
4,
3,
3,
3,
4,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
3,
3,
3,
3,
7,
2,
3,
2,
3,
3,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
5,
3,
4,
4,
3,
1,
2,
3,
3,
4,
3,
3,
4,
3,
4,
2,
2,
2,
2,
3,
3,
3,
4,
5,
4,
3,
3,
3,
2,
4,
3,
4,
2,
2,
2,
3,
2,
3,
2,
2,
6,
4,
3,
2,
2,
1,
2,
3,
7,
2,
2,
2,
2,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
2,
2,
2,
2,
2,
4,
3,
3,
5,
2,
2,
5,
3,
3,
3,
5,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
5,
4,
2,
2,
4,
3,
4,
3,
4,
6,
4,
3,
4,
5,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
3,
5,
3,
2,
4,
2,
2,
3,
4,
4,
2,
3,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
4,
4,
3,
3,
2,
2,
2,
2,
4,
3,
4,
3,
4,
2,
4,
2,
2,
5,
3,
3,
4,
3,
3,
3,
3,
5,
2,
3,
3,
4,
2,
3,
3,
3,
3,
3,
11,
4,
6,
3,
7,
4,
4,
2,
4,
4,
3,
7,
2,
6,
2,
3,
3,
2,
2,
2,
3,
1,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
5,
2,
4,
2,
2,
4,
4,
1,
2,
2,
2,
2,
3,
2,
3,
4,
3,
6,
4,
5,
3,
6,
2,
5,
3,
4,
4,
6,
6,
4,
3,
3,
2,
4,
2,
4,
2,
4,
2,
3,
2,
2,
4,
4,
3,
2,
3,
4,
4,
3,
2,
2,
5,
4,
4,
2,
2,
2,
3,
4,
3,
3,
3,
2,
2,
6,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
5,
3,
5,
3,
3,
4,
4,
2,
4,
2,
3,
4,
3,
3,
3,
4,
4,
6,
4,
3,
2,
6,
3,
2,
2,
2,
4,
2,
4,
3,
3,
7,
3,
4,
4,
3,
6,
4,
6,
4,
3,
2,
4,
5,
5,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
2,
3,
2,
2,
6,
5,
3,
4,
3,
6,
2,
3,
2,
4,
2,
4,
3,
2,
3,
3,
3,
2,
3,
4,
3,
2,
2,
3,
4,
2,
3,
3,
2,
5,
4,
4,
4,
4,
2,
5,
5,
2,
3,
2,
3,
5,
4,
2,
4,
4,
4,
3,
2,
3,
4,
4,
4,
3,
4,
2,
2,
4,
4,
1,
4,
2,
2,
6,
3,
3,
3,
5,
3,
3,
3,
3,
4,
3,
4,
2,
3,
3,
1,
2,
3,
5,
3,
4,
5,
4,
3,
3,
5,
3,
3,
5,
2,
2,
4,
2,
7,
3,
5,
5,
5,
2,
3,
2,
3,
1,
4,
2,
2,
3,
2,
3,
4,
3,
3,
3,
3,
5,
6,
6,
6,
4,
4,
2,
2,
5,
4,
2,
5,
2,
3,
2,
1,
3,
1,
4,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
5,
3,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
6,
6,
3,
3,
3,
4,
2,
5,
4,
4,
4,
4,
3,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
2,
2,
3,
2,
3,
3,
2,
2,
3,
4,
2,
4,
6,
3,
3,
2,
2,
3,
2,
2,
6,
6,
4,
4,
2,
3,
4,
2,
4,
3,
2,
3,
3,
3,
4,
3,
3,
2,
4,
3,
2,
3,
2,
4,
4,
4,
4,
2,
2,
4,
2,
4,
3,
3,
3,
7,
2,
5,
2,
4,
4,
6,
5,
3,
4,
4,
4,
4,
4,
5,
2,
3,
4,
2,
5,
5,
4,
4,
7,
4,
5,
4,
2,
2,
5,
4,
2,
2,
4,
3,
2,
4,
4,
4,
3,
4,
4,
2,
5,
4,
4,
3,
5,
2,
4,
3,
4,
4,
3,
2,
2,
2,
2,
4,
3,
4,
4,
4,
5,
7,
7,
6,
2,
2,
4,
4,
4,
4,
3,
2,
3,
3,
2,
2,
4,
2,
2,
2,
4,
2,
4,
4,
4,
3,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
4,
2,
3,
3,
3,
2,
2,
4,
4,
3,
4,
2,
3,
3,
2,
4,
4,
2,
6,
3,
2,
4,
2,
3,
4,
4,
4,
3,
2,
2,
3,
3,
4,
4,
4,
4,
2,
4,
3,
2,
2,
2,
7,
2,
4,
5,
2,
3,
2,
2,
2,
4,
3,
2,
3,
5,
4,
2,
2,
2,
2,
2,
5,
2,
3,
2,
4,
2,
6,
4,
5,
3,
3,
2,
3,
2,
4,
2,
2,
3,
3,
2,
3,
2,
3,
1,
2,
2,
2,
3,
3,
4,
2,
4,
4,
4,
4,
2,
3,
3,
3,
2,
3,
5,
2,
4,
5,
4,
5,
3,
3,
3,
3,
2,
4,
3,
1,
2,
2,
2,
2,
3,
2,
2,
4,
3,
3,
3,
2,
3,
3,
3,
3,
3,
2,
2,
4,
3,
5,
2,
2,
2,
2,
3,
3,
6,
4,
4,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
1,
3,
5,
3,
3,
2,
2,
2,
6,
5,
4,
5,
5,
3,
2,
4,
2,
2,
3,
4,
3,
2,
5,
5,
4,
4,
3,
2,
3,
3,
6,
4,
3,
5,
3,
2,
4,
2,
4,
4,
4,
1,
3,
4,
4,
4,
4,
4,
3,
4,
3,
4,
4,
2,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
5,
2,
3,
3,
2,
3,
3,
2,
3,
2,
5,
4,
3,
3,
2,
8,
4,
4,
3,
4,
3,
2,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
4,
3,
2,
3,
2,
3,
2,
7,
3,
3,
2,
3,
3,
3,
4,
4,
5,
6,
2,
1,
7,
2,
3,
2,
5,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
3,
3,
2,
2,
2,
2,
4,
3,
4,
3,
4,
4,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
2,
3,
3,
2,
8,
2,
3,
2,
9,
3,
3,
3,
2,
2,
2,
6,
4,
4,
4,
4,
4,
3,
4,
2,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
2,
4,
4,
3,
4,
4,
2,
4,
4,
2,
4,
2,
2,
3,
2,
3,
3,
3,
3,
3,
4,
4,
2,
2,
4,
4,
2,
2,
2,
4,
6,
2,
4,
4,
6,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
4,
3,
3,
4,
2,
3,
2,
4,
4,
3,
2,
2,
3,
1,
3,
4,
2,
2,
3,
3,
3,
2,
2,
7,
3,
3,
2,
5,
3,
3,
3,
5,
3,
1,
1,
3,
4,
2,
4,
3,
3,
3,
3,
3,
3,
5,
3,
4,
2,
2,
2,
4,
4,
4,
3,
2,
3,
1,
2,
4,
4,
1,
1,
2,
4,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
3,
4,
2,
4,
3,
5,
5,
5,
4,
4,
4,
4,
4,
4,
3,
2,
3,
4,
3,
5,
2,
2,
2,
1,
3,
3,
2,
4,
1,
2,
2,
4,
3,
4,
2,
5,
2,
2,
2,
4,
3,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
2,
4,
2,
2,
2,
6,
5,
4,
2,
3,
3,
3,
3,
4,
4,
5,
7,
3,
4,
2,
3,
2,
3,
3,
2,
2,
7,
7,
2,
3,
3,
3,
4,
4,
5,
3,
4,
4,
3,
4,
2,
2,
4,
2,
2,
2,
4,
2,
5,
4,
4,
4,
4,
4,
2,
2,
4,
3,
2,
5,
2,
5,
2,
4,
2,
3,
2,
2,
3,
3,
3,
3,
3,
4,
2,
4,
6,
2,
4,
5,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
5,
2,
1,
3,
3,
3,
7,
3,
2,
2,
4,
4,
3,
2,
3,
3,
2,
2,
2,
3,
2,
2,
4,
3,
3,
2,
2,
2,
3,
2,
4,
4,
3,
2,
4,
3,
2,
4,
2,
2,
2,
2,
3,
2,
2,
2,
4,
3,
3,
3,
3,
2,
5,
5,
4,
4,
2,
3,
2,
2,
3,
3,
1,
2,
3,
5,
5,
3,
4,
3,
3,
3,
3,
2,
6,
2,
2,
3,
2,
3,
2,
4,
2,
2,
2,
2,
2,
3,
5,
3,
2,
3,
4,
2,
3,
2,
2,
6,
2,
5,
2,
2,
2,
2,
2,
2,
2,
5,
2,
2,
2,
6,
1,
3,
3,
3,
4,
3,
3,
7,
4,
4,
4,
4,
4,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
3,
5,
5,
4,
5,
4,
6,
4,
4,
6,
3,
3,
3,
4,
3,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
1,
2,
3,
3,
5,
2,
3,
4,
3,
3,
3,
3,
3,
2,
1,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
4,
2,
3,
3,
2,
2,
4,
4,
4,
4,
4,
3,
3,
2,
1,
3,
4,
3,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
4,
2,
2,
2,
2,
2,
1,
3,
3,
3,
3,
2,
4,
2,
4,
3,
3,
4,
2,
2,
2,
4,
5,
4,
2,
4,
3,
4,
2,
2,
2,
4,
3,
2,
3,
4,
3,
3,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
3,
3,
5,
4,
3,
4,
4,
1,
4,
2,
2,
4,
4,
3,
3,
3,
2,
6,
3,
3,
4,
4,
4,
4,
2,
3,
4,
6,
6,
4,
2,
2,
2,
4,
4,
4,
2,
4,
4,
2,
3,
4,
2,
3,
3,
4,
2,
3,
3,
3,
4,
5,
5,
3,
3,
3,
2,
2,
4,
2,
5,
5,
4,
4,
4,
2,
2,
3,
3,
5,
4,
5,
3,
3,
3,
3,
3,
3,
2,
4,
3,
4,
4,
4,
5,
4,
6,
2,
4,
3,
2,
3,
3,
2,
3,
4,
2,
3,
2,
2,
2,
4,
2,
3,
3,
2,
2,
2,
3,
2,
2,
2,
2,
2,
5,
4,
4,
3,
2,
6,
3,
3,
3,
3,
3,
4,
3,
2,
4,
6,
4,
4,
4,
4,
4,
5,
2,
3,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
2,
2,
2,
2,
2,
3,
2,
4,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
3,
2,
1,
3,
3,
4,
3,
4,
4,
3,
5,
4,
4,
2,
4,
7,
3,
4,
2,
3,
2,
2,
2,
2,
4,
3,
2,
3,
3,
3,
3,
4,
3,
3,
4,
3,
3,
3,
4,
3,
6,
3,
4,
5,
5,
5,
5,
3,
5,
2,
4,
3,
3,
3,
2,
3,
3,
3,
4,
2,
5,
5,
3,
5,
4,
4,
3,
3,
3,
2,
4,
2,
3,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
1,
4,
6,
3,
4,
4,
2,
4,
3,
2,
4,
3,
2,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
4,
4,
2,
4,
5,
5,
3,
2,
4,
2,
4,
2,
2,
4,
2,
4,
4,
4,
3,
4,
3,
3,
3,
5,
4,
1,
2,
4,
4,
4,
5,
1,
1,
3,
3,
3,
4,
4,
3,
3,
3,
4,
4,
2,
4,
2,
4,
4,
4,
5,
5,
2,
2,
4,
4,
4,
3,
3,
3,
3,
4,
2,
2,
4,
4,
3,
4,
4,
3,
4,
4,
3,
4,
4,
4,
4,
3,
3,
5,
5,
2,
2,
4,
3,
3,
2,
3,
2,
2,
3,
3,
5,
4,
2,
3,
3,
2,
3,
7,
2,
5,
5,
4,
4,
4,
3,
2,
4,
6,
4,
3,
2,
7,
4,
3,
6,
4,
4,
3,
2,
4,
4,
3,
2,
4,
5,
7,
6,
2,
1,
2,
2,
3,
2,
2,
6,
7,
7,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
2,
2,
3,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
5,
2,
6,
5,
4,
3,
2,
5,
3,
4,
3,
7,
5,
4,
4,
4,
4,
5,
2,
3,
2,
4,
4,
3,
4,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
5,
5,
4,
5,
5,
3,
2,
4,
2,
3,
4,
2,
3,
3,
2,
4,
6,
4,
3,
4,
2,
2,
2,
2,
3,
2,
3,
3,
2,
2,
2,
2,
4,
2,
3,
5,
2,
4,
2,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
6,
3,
6,
6,
2,
3,
4,
2,
2,
2,
3,
3,
4,
3,
3,
2,
3,
3,
6,
5,
4,
4,
6,
4,
6,
3,
3,
2,
4,
4,
4,
5,
3,
6,
3,
4,
3,
4,
2,
2,
3,
4,
3,
3,
2,
6,
2,
5,
4,
3,
2,
4,
4,
4,
2,
2,
3,
3,
2,
4,
4,
3,
3,
2,
3,
4,
4,
3,
3,
2,
3,
3,
2,
4,
2,
2,
2,
2,
2,
4,
4,
2,
3,
3,
4,
4,
7,
2,
8,
3,
3,
3,
6,
5,
4,
2,
4,
4,
5,
1,
4,
4,
3,
3,
2,
2,
2,
4,
3,
4,
4,
2,
5,
2,
4,
2,
3,
3,
2,
3,
4,
2,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
3,
3,
6,
3,
3,
3,
4,
3,
2,
5,
5,
4,
3,
3,
2,
3,
2,
3,
2,
2,
4,
3,
2,
3,
3,
2,
2,
3,
3,
3,
4,
4,
2,
2,
4,
5,
4,
2,
3,
2,
4,
4,
4,
4,
5,
4,
2,
3,
3,
4,
3,
1,
4,
2,
2,
3,
2,
3,
2,
4,
4,
4,
4,
4,
5,
4,
3,
4,
2,
2,
2,
3,
3,
4,
3,
3,
2,
1,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
4,
1,
1,
3,
4,
2,
2,
4,
4,
4,
4,
3,
4,
4,
3,
3,
2,
3,
3,
4,
2,
3,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
6,
4,
2,
4,
4,
4,
4,
2,
2,
2,
4,
2,
2,
2,
4,
2,
3,
3,
4,
2,
2,
4,
3,
4,
3,
4,
3,
3,
2,
2,
2,
3,
2,
2,
3,
3,
4,
2,
6,
2,
3,
2,
4,
4,
4,
4,
4,
4,
5,
3,
4,
4,
3,
6,
2,
2,
4,
2,
2,
4,
2,
2,
3,
4,
2,
2,
4,
3,
2,
2,
4,
4,
4,
3,
2,
4,
2,
3,
2,
3,
2,
2,
4,
2,
2,
3,
3,
5,
2,
2,
2,
2,
2,
1,
4,
5,
3,
5,
2,
2,
2,
4,
4,
3,
4,
4,
2,
5,
3,
3,
3,
4,
4,
4,
4,
2,
2,
4,
5,
4,
4,
4,
5,
3,
2,
4,
4,
3,
3,
3,
3,
2,
2,
3,
1,
6,
2,
4,
4,
3,
5,
6,
3,
4,
4,
3,
2,
6,
3,
3,
3,
2,
2,
4,
3,
4,
4,
3,
6,
5,
5,
2,
2,
3,
6,
2,
4,
6,
4,
3,
3,
2,
4,
4,
2,
3,
4,
6,
4,
4,
3,
4,
3,
3,
4,
3,
3,
5,
4,
3,
2,
2,
2,
2,
4,
4,
5,
4,
4,
4,
2,
6,
3,
3,
2,
2,
3,
3,
3,
4,
5,
4,
4,
2,
4,
6,
4,
2,
3,
3,
2,
1,
2,
2,
3,
2,
3,
3,
4,
3,
4,
5,
4,
3,
3,
3,
4,
4,
5,
5,
5,
3,
2,
1,
4,
3,
4,
3,
3,
2,
2,
2,
2,
2,
2,
1,
1,
2,
3,
2,
4,
2,
2,
2,
3,
4,
3,
4,
4,
2,
4,
2,
3,
7,
7,
2,
3,
2,
3,
3,
3,
4,
2,
2,
4,
3,
4,
6,
3,
6,
6,
5,
2,
2,
3,
3,
3,
5,
3,
3,
4,
2,
4,
2,
4,
3,
4,
2,
3,
3,
4,
4,
3,
3,
3,
3,
4,
2,
2,
2,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
3,
7,
4,
2,
5,
3,
4,
5,
3,
1,
2,
3,
2,
2,
2,
4,
4,
3,
3,
4,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
2,
3,
3,
7,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
2,
2,
2,
3,
1,
3,
3,
3,
4,
2,
3,
3,
6,
3,
3,
4,
4,
4,
2,
2,
2,
3,
2,
2,
6,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
2,
2,
2,
2,
2,
4,
3,
9,
4,
3,
2,
2,
2,
3,
2,
4,
4,
4,
4,
5,
2,
2,
2,
2,
3,
5,
1,
2,
3,
4,
2,
3,
3,
2,
2,
2,
5,
4,
2,
2,
4,
4,
5,
3,
2,
2,
5,
2,
3,
4,
3,
2,
3,
5,
2,
4,
3,
3,
2,
3,
3,
2,
2,
4,
4,
2,
2,
3,
5,
2,
3,
4,
4,
3,
3,
4,
4,
4,
4,
3,
2,
3,
3,
2,
2,
2,
2,
5,
4,
3,
4,
4,
3,
2,
4,
4,
3,
4,
3,
4,
5,
2,
2,
2,
3,
5,
2,
3,
3,
2,
4,
3,
3,
4,
4,
4,
4,
4,
2,
2,
4,
5,
4,
4,
5,
5,
3,
3,
3,
3,
6,
2,
3,
3,
5,
2,
5,
3,
2,
1,
4,
3,
3,
2,
3,
4,
3,
3,
2,
2,
2,
4,
3,
4,
4,
7,
4,
3,
4,
4,
3,
3,
4,
3,
4,
3,
3,
3,
3,
3,
5,
4,
4,
3,
3,
3,
3,
4,
4,
4,
2,
3,
3,
4,
4,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
5,
2,
2,
4,
4,
3,
3,
5,
2,
4,
4,
4,
5,
2,
2,
4,
4,
4,
2,
4,
3,
2,
2,
4,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
2,
6,
3,
6,
4,
4,
4,
3,
2,
3,
4,
4,
4,
2,
2,
2,
3,
4,
3,
3,
3,
3,
3,
4,
5,
3,
4,
4,
4,
2,
4,
3,
5,
5,
5,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
4,
4,
3,
1,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
4,
4,
2,
2,
4,
2,
2,
7,
3,
1,
4,
2,
4,
2,
2,
2,
2,
2,
4,
2,
4,
4,
2,
2,
3,
2,
2,
3,
4,
3,
3,
3,
2,
2,
2,
3,
5,
3,
3,
3,
3,
4,
4,
4,
2,
4,
4,
2,
4,
4,
2,
4,
2,
1,
3,
3,
5,
3,
7,
3,
2,
2,
6,
4,
4,
6,
5,
5,
4,
2,
2,
4,
5,
4,
4,
4,
2,
2,
4,
4,
3,
2,
2,
4,
2,
4,
3,
2,
3,
3,
3,
3,
3,
3,
3,
7,
5,
4,
6,
2,
3,
2,
2,
2,
3,
4,
2,
3,
4,
3,
4,
4,
3,
4,
4,
5,
4,
4,
3,
2,
2,
2,
2,
2,
4,
4,
2,
3,
5,
4,
3,
3,
3,
3,
6,
2,
2,
3,
3,
3,
3,
2,
3,
3,
2,
4,
2,
1,
4,
5,
6,
6,
2,
4,
2,
4,
4,
4,
4,
2,
4,
3,
2,
3,
3,
3,
8,
2,
1,
4,
4,
4,
4,
2,
2,
3,
2,
3,
2,
3,
4,
2,
4,
4,
4,
2,
4,
5,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
4,
2,
3,
6,
3,
3,
2,
8,
3,
5,
2,
6,
2,
2,
6,
2,
3,
3,
2,
1,
1,
6,
2,
5,
4,
4,
5,
3,
2,
4,
5,
2,
2,
2,
2,
4,
4,
7,
3,
3,
2,
4,
3,
3,
3,
2,
4,
2,
6,
3,
3,
3,
3,
2,
4,
3,
4,
3,
4,
3,
2,
2,
4,
4,
5,
4,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
3,
2,
4,
4,
3,
4,
2,
2,
2,
5,
6,
4,
3,
3,
3,
3,
3,
2,
2,
4,
6,
2,
3,
6,
2,
2,
3,
4,
4,
4,
2,
4,
3,
4,
2,
3,
5,
5,
4,
3,
3,
2,
3,
2,
4,
2,
3,
3,
2,
3,
4,
4,
3,
3,
3,
2,
3,
2,
3,
2,
2,
4,
4,
5,
2,
4,
4,
4,
4,
2,
2,
2,
3,
4,
7,
5,
3,
4,
4,
5,
3,
4,
2,
2,
2,
3,
2,
2,
5,
5,
6,
3,
2,
5,
5,
6,
2,
4,
4,
4,
4,
2,
4,
3,
6,
3,
6,
6,
3,
5,
2,
3,
3,
2,
3,
1,
2,
2,
4,
6,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
2,
3,
2,
4,
3,
4,
4,
4,
3,
3,
3,
2,
3,
4,
4,
3,
4,
4,
3,
3,
3,
2,
3,
4,
2,
2,
2,
3,
2,
2,
2,
3,
3,
2,
4,
4,
2,
4,
2,
4,
4,
3,
3,
4,
4,
3,
3,
5,
4,
2,
2,
4,
2,
3,
2,
2,
4,
3,
4,
4,
7,
6,
3,
4,
4,
2,
3,
4,
4,
4,
2,
3,
2,
2,
2,
2,
3,
2,
3,
4,
2,
4,
2,
4,
3,
3,
2,
4,
3,
2,
4,
3,
7,
2,
2,
2,
3,
4,
4,
2,
4,
6,
2,
3,
4,
3,
4,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
3,
2,
3,
3,
3,
5,
2,
4,
4,
5,
3,
3,
2,
2,
2,
2,
2,
2,
5,
4,
4,
4,
2,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
2,
3,
3,
2,
5,
4,
3,
3,
3,
4,
4,
3,
4,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
5,
2,
2,
6,
3,
3,
4,
4,
3,
3,
2,
4,
3,
2,
3,
5,
1,
3,
3,
3,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
4,
2,
5,
5,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
1,
3,
3,
3,
3,
3,
3,
2,
4,
3,
3,
3,
5,
4,
3,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
5,
3,
5,
2,
2,
2,
3,
4,
5,
5,
1,
2,
4,
4,
5,
2,
4,
4,
4,
4,
4,
4,
3,
6,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
2,
1,
3,
4,
4,
2,
3,
3,
3,
4,
2,
3,
2,
2,
2,
3,
2,
2,
3,
2,
2,
3,
4,
4,
4,
4,
2,
4,
2,
2,
4,
4,
3,
3,
4,
4,
2,
5,
5,
2,
3,
5,
2,
2,
2,
3,
2,
4,
5,
4,
5,
4,
4,
2,
5,
2,
2,
5,
3,
5,
4,
4,
2,
3,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
5,
5,
2,
3,
3,
2,
2,
2,
4,
3,
2,
4,
5,
6,
2,
2,
2,
3,
2,
4,
3,
3,
3,
4,
4,
4,
6,
4,
2,
4,
3,
3,
5,
3,
3,
3,
3,
3,
4,
3,
2,
3,
4,
2,
7,
3,
2,
3,
5,
3,
2,
5,
4,
3,
4,
4,
2,
4,
4,
2,
3,
6,
4,
4,
3,
4,
3,
4,
4,
4,
4,
4,
2,
3,
4,
3,
4,
3,
2,
2,
2,
2,
4,
3,
2,
2,
2,
5,
2,
2,
2,
4,
4,
2,
2,
4,
3,
4,
4,
5,
3,
2,
2,
2,
3,
4,
3,
3,
4,
2,
2,
2,
3,
3,
2,
4,
2,
3,
4,
3,
2,
3,
5,
3,
3,
3,
6,
7,
4,
2,
2,
2,
3,
2,
3,
3,
4,
3,
3,
3,
2,
2,
2,
3,
2,
2,
6,
4,
4,
2,
2,
2,
2,
2,
6,
4,
4,
4,
4,
3,
2,
2,
2,
8,
4,
4,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
7,
2,
3,
2,
2,
2,
2,
2,
3,
4,
2,
2,
5,
1,
1,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
1,
1,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
1,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
2,
3,
4,
3,
4,
4,
4,
3,
3,
3,
4,
5,
2,
2,
3,
2,
3,
3,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
4,
2,
2,
2,
3,
3,
2,
4,
4,
4,
2,
2,
3,
2,
4,
2,
3,
4,
3,
2,
2,
5,
3,
3,
2,
3,
2,
4,
5,
4,
4,
3,
2,
3,
2,
3,
3,
6,
4,
5,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
4,
4,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
4,
5,
5,
3,
3,
3,
5,
4,
2,
4,
3,
3,
5,
3,
5,
5,
2,
4,
2,
3,
2,
4,
3,
2,
5,
2,
2,
2,
2,
3,
1,
2,
3,
8,
8,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
3,
3,
4,
3,
2,
3,
3,
2,
2,
6,
4,
4,
3,
3,
2,
4,
4,
2,
1,
2,
2,
4,
3,
5,
4,
4,
4,
3,
4,
3,
3,
4,
5,
2,
2,
4,
2,
2,
4,
2,
3,
6,
2,
5,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
7,
4,
4,
4,
4,
4,
4,
5,
4,
4,
2,
4,
2,
2,
2,
2,
2,
3,
4,
4,
2,
6,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
5,
2,
3,
3,
2,
4,
4,
5,
5,
2,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
4,
3,
4,
2,
2,
2,
4,
2,
2,
2,
2,
3,
3,
5,
4,
2,
4,
2,
2,
4,
2,
1,
1,
2,
2,
2,
2,
3,
6,
2,
4,
3,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
4,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
3,
2,
1,
2,
2,
9,
2,
2,
2,
2,
3,
2,
2,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
3,
6,
2,
2,
2,
2,
4,
3,
3,
5,
3,
3,
5,
3,
4,
4,
4,
5,
3,
3,
4,
4,
3,
4,
2,
5,
2,
3,
4,
3,
6,
3,
2,
2,
4,
2,
4,
2,
3,
3,
5,
3,
3,
4,
2,
3,
2,
5,
6,
4,
3,
4,
4,
4,
4,
6,
5,
6,
3,
8,
4,
2,
2,
4,
4,
3,
4,
4,
4,
9,
3,
3,
3,
3,
3,
1,
2,
3,
3,
3,
2,
4,
2,
2,
2,
4,
4,
4,
4,
2,
2,
2,
3,
5,
2,
2,
5,
5,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
4,
2,
3,
2,
2,
2,
4,
3,
3,
2,
4,
6,
3,
2,
3,
4,
4,
4,
5,
4,
3,
3,
4,
4,
5,
3,
3,
3,
3,
3,
1,
5,
9,
4,
5,
5,
5,
3,
7,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
2,
3,
2,
4,
5,
3,
2,
3,
2,
2,
3,
3,
3,
2,
3,
4,
5,
2,
2,
2,
2,
3,
2,
5,
4,
3,
2,
2,
3,
3,
4,
2,
2,
3,
2,
3,
3,
3,
5,
4,
2,
5,
3,
3,
2,
2,
3,
4,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
4,
3,
4,
2,
3,
3,
3,
3,
2,
4,
3,
3,
2,
3,
2,
5,
4,
4,
4,
3,
4,
4,
2,
3,
4,
3,
3,
2,
2,
3,
2,
3,
1,
2,
3,
4,
5,
5,
5,
4,
2,
4,
5,
3,
4,
2,
3,
5,
3,
3,
6,
3,
6,
2,
2,
4,
2,
3,
4,
4,
4,
5,
4,
4,
3,
3,
2,
3,
5,
4,
5,
4,
7,
2,
2,
1,
3,
3,
5,
3,
4,
2,
2,
2,
2,
3,
2,
5,
3,
2,
2,
3,
2,
3,
2,
2,
3,
2,
3,
2,
3,
2,
5,
3,
6,
5,
2,
2,
4,
3,
5,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
9,
3,
3,
3,
4,
2,
2,
3,
2,
2,
4,
4,
2,
2,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
5,
3,
3,
1,
2,
4,
2,
3,
2,
2,
4,
3,
2,
2,
2,
2,
4,
2,
2,
3,
9,
3,
3,
3,
3,
2,
3,
3,
3,
4,
4,
3,
4,
4,
2,
4,
2,
4,
4,
4,
3,
3,
3,
2,
2,
2,
3,
2,
4,
3,
3,
5,
6,
2,
4,
7,
5,
2,
4,
1,
2,
4,
2,
2,
2,
7,
4,
4,
4,
3,
2,
2,
2,
5,
2,
3,
2,
2,
2,
4,
4,
4,
3,
4,
4,
2,
3,
3,
3,
3,
5,
5,
5,
3,
3,
2,
3,
3,
3,
5,
3,
2,
2,
2,
3,
3,
4,
4,
4,
2,
2,
6,
3,
4,
4,
2,
2,
3,
4,
6,
3,
4,
4,
3,
2,
2,
2,
4,
2,
6,
6,
3,
3,
3,
3,
6,
2,
2,
2,
2,
2,
1,
3,
3,
3,
2,
2,
3,
4,
4,
3,
5,
3,
3,
3,
3,
2,
2,
3,
2,
2,
4,
4,
3,
4,
4,
3,
2,
3,
3,
3,
3,
2,
3,
3,
6,
2,
4,
3,
2,
3,
3,
4,
2,
4,
2,
5,
2,
1,
3,
4,
2,
2,
8,
6,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
3,
3,
4,
3,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
3,
2,
2,
4,
4,
4,
4,
2,
3,
7,
2,
3,
2,
2,
2,
4,
2,
3,
4,
4,
4,
2,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
4,
4,
4,
4,
2,
2,
3,
7,
3,
4,
2,
3,
4,
2,
2,
3,
3,
4,
4,
3,
4,
2,
2,
4,
2,
2,
3,
5,
2,
3,
2,
4,
4,
4,
1,
2,
4,
3,
4,
3,
3,
4,
3,
3,
4,
2,
4,
3,
3,
2,
3,
2,
4,
2,
3,
4,
2,
3,
2,
2,
3,
2,
4,
4,
4,
4,
4,
3,
5,
4,
2,
2,
4,
2,
5,
4,
3,
2,
2,
2,
3,
5,
5,
4,
3,
3,
4,
4,
2,
4,
4,
4,
3,
2,
2,
4,
3,
2,
3,
2,
3,
3,
4,
3,
3,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
2,
3,
2,
3,
2,
2,
3,
2,
4,
4,
3,
3,
2,
4,
4,
3,
6,
2,
2,
3,
4,
2,
3,
2,
3,
2,
3,
2,
2,
2,
3,
3,
2,
2,
3,
2,
2,
2,
3,
3,
2,
4,
2,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
4,
2,
3,
3,
3,
7,
4,
3,
4,
3,
2,
4,
3,
3,
2,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
3,
2,
2,
3,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
4,
2,
2,
4,
4,
2,
4,
4,
4,
3,
3,
3,
4,
3,
2,
2,
3,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
5,
2,
2,
2,
2,
1,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
3,
3,
3,
2,
5,
2,
2,
2,
2,
3,
3,
3,
7,
4,
4,
6,
5,
4,
4,
3,
3,
3,
2,
3,
3,
5,
5,
5,
4,
6,
3,
5,
2,
3,
2,
2,
3,
4,
4,
2,
2,
3,
2,
3,
2,
3,
3,
3,
3,
4,
5,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
4,
3,
3,
4,
2,
3,
4,
5,
6,
4,
4,
3,
2,
2,
2,
4,
4,
4,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
3,
3,
4,
4,
4,
2,
2,
4,
4,
2,
2,
4,
3,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
5,
4,
4,
4,
4,
3,
4,
4,
4,
2,
2,
3,
2,
4,
4,
2,
5,
4,
5,
2,
3,
2,
3,
3,
2,
4,
6,
3,
2,
2,
2,
4,
4,
2,
3,
3,
2,
3,
4,
3,
4,
6,
2,
4,
4,
3,
3,
2,
3,
3,
3,
2,
5,
3,
4,
3,
1,
2,
3,
2,
1,
2,
4,
2,
3,
5,
4,
4,
2,
4,
2,
3,
4,
3,
4,
2,
3,
4,
3,
3,
5,
7,
2,
2,
4,
2,
3,
3,
3,
7,
3,
3,
2,
3,
2,
3,
2,
3,
2,
3,
2,
2,
2,
1,
3,
3,
4,
3,
3,
3,
4,
3,
5,
3,
4,
4,
4,
4,
3,
4,
2,
3,
2,
4,
2,
3,
2,
2,
4,
2,
4,
2,
2,
4,
4,
4,
4,
3,
5,
4,
4,
5,
4,
2,
3,
2,
4,
2,
2,
4,
3,
5,
3,
1,
1,
5,
5,
5,
3,
4,
5,
5,
2,
4,
2,
3,
2,
1,
3,
2,
2,
2,
4,
4,
4,
1,
4,
4,
3,
4,
4,
4,
4,
4,
4,
5,
1,
4,
2,
2,
2,
2,
3,
3,
2,
2,
3,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
2,
3,
2,
2,
4,
4,
4,
2,
3,
3,
5,
3,
4,
4,
3,
2,
5,
2,
3,
6,
4,
4,
2,
2,
4,
3,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
5,
5,
2,
2,
4,
3,
2,
7,
3,
2,
4,
4,
2,
2,
2,
2,
3,
3,
5,
4,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
4,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
6,
4,
5,
5,
6,
4,
5,
3,
5,
3,
4,
4,
2,
2,
2,
2,
2,
2,
1,
3,
3,
3,
2,
2,
3,
4,
4,
2,
2,
2,
1,
2,
2,
4,
3,
3,
2,
3,
5,
3,
3,
2,
3,
3,
2,
3,
4,
2,
3,
2,
2,
2,
3,
4,
2,
2,
4,
2,
2,
5,
3,
4,
2,
4,
3,
2,
3,
3,
3,
2,
3,
3,
3,
4,
3,
3,
3,
8,
2,
4,
2,
3,
2,
2,
3,
2,
2,
3,
3,
4,
3,
2,
2,
2,
2,
4,
3,
4,
2,
4,
3,
4,
4,
4,
4,
4,
8,
2,
5,
5,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
3,
4,
2,
2,
3,
3,
3,
2,
4,
4,
2,
4,
2,
3,
4,
2,
3,
5,
3,
2,
3,
2,
3,
4,
5,
5,
5,
3,
4,
4,
5,
6,
2,
1,
2,
4,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
4,
5,
3,
2,
2,
4,
3,
3,
4,
2,
1,
1,
2,
4,
4,
2,
2,
4,
2,
3,
2,
2,
2,
1,
3,
2,
2,
2,
2,
4,
2,
4,
2,
3,
3,
2,
3,
2,
3,
4,
5,
2,
4,
4,
5,
3,
3,
4,
5,
2,
3,
3,
4,
3,
3,
6,
2,
5,
2,
2,
4,
3,
4,
4,
2,
3,
3,
3,
3,
5,
3,
4,
4,
3,
2,
2,
3,
3,
3,
2,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
5,
3,
3,
3,
4,
3,
2,
2,
2,
3,
3,
3,
3,
3,
6,
3,
5,
4,
4,
5,
4,
5,
6,
2,
4,
4,
4,
6,
6,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
6,
8,
4,
3,
5,
2,
2,
2,
3,
4,
3,
6,
3,
2,
3,
3,
3,
4,
5,
4,
2,
3,
7,
2,
2,
3,
2,
2,
4,
3,
3,
3,
4,
2,
3,
3,
2,
7,
3,
3,
3,
4,
4,
4,
5,
3,
2,
2,
3,
2,
2,
1,
2,
4,
3,
3,
3,
4,
4,
2,
3,
4,
2,
4,
2,
3,
6,
3,
4,
3,
3,
3,
3,
2,
6,
3,
3,
3,
3,
2,
3,
3,
4,
1,
4,
2,
5,
4,
2,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
5,
4,
4,
4,
3,
3,
2,
2,
1,
2,
4,
5,
3,
2,
2,
4,
2,
3,
2,
4,
5,
2,
2,
4,
3,
4,
2,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
7,
3,
2,
4,
3,
3,
3,
2,
7,
3,
2,
10,
3,
2,
4,
4,
4,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
5,
2,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
4,
5,
3,
5,
5,
2,
2,
3,
3,
3,
3,
2,
5,
4,
4,
2,
3,
3,
3,
3,
2,
7,
3,
4,
4,
4,
5,
3,
2,
4,
4,
4,
4,
3,
4,
4,
3,
2,
5,
4,
4,
4,
4,
2,
2,
4,
2,
4,
3,
3,
4,
3,
2,
2,
2,
3,
3,
4,
3,
3,
3,
3,
2,
3,
4,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
4,
5,
5,
4,
2,
2,
4,
4,
4,
3,
3,
3,
2,
5,
2,
4,
2,
2,
2,
2,
2,
6,
4,
4,
7,
3,
2,
3,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
4,
4,
3,
4,
2,
4,
4,
4,
5,
6,
4,
5,
3,
3,
2,
3,
3,
2,
6,
6,
3,
3,
4,
4,
2,
4,
4,
2,
3,
4,
3,
3,
3,
4,
4,
2,
3,
1,
2,
4,
3,
3,
3,
4,
4,
3,
3,
2,
3,
4,
2,
2,
2,
4,
4,
6,
2,
2,
4,
1,
2,
3,
3,
7,
4,
3,
3,
4,
3,
4,
4,
4,
2,
3,
3,
6,
8,
5,
3,
2,
3,
3,
3,
2,
3,
2,
7,
6,
2,
2,
4,
1,
4,
2,
4,
3,
3,
2,
4,
4,
3,
6,
4,
3,
3,
3,
4,
5,
2,
4,
4,
4,
3,
5,
2,
3,
5,
3,
2,
5,
2,
4,
3,
5,
4,
2,
2,
2,
4,
4,
6,
4,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
3,
4,
2,
4,
3,
3,
3,
7,
5,
2,
4,
3,
6,
4,
4,
1,
4,
4,
4,
4,
3,
3,
4,
2,
2,
3,
3,
3,
4,
4,
3,
3,
2,
3,
2,
2,
3,
4,
2,
3,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
3,
2,
6,
5,
5,
2,
2,
1,
2,
3,
2,
3,
3,
2,
2,
1,
3,
2,
2,
2,
3,
2,
2,
4,
2,
2,
2,
2,
5,
2,
5,
4,
5,
5,
3,
2,
3,
2,
3,
2,
2,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
1,
2,
3,
3,
2,
3,
4,
3,
4,
3,
2,
3,
6,
5,
5,
3,
4,
4,
4,
3,
1,
4,
2,
5,
6,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
3,
3,
4,
4,
4,
4,
3,
2,
3,
1,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
6,
1,
3,
3,
3,
2,
4,
2,
2,
4,
2,
4,
4,
2,
2,
4,
4,
4,
4,
3,
6,
4,
3,
2,
2,
3,
3,
2,
2,
4,
4,
4,
4,
3,
4,
5,
3,
4,
4,
4,
4,
2,
2,
3,
3,
3,
4,
3,
2,
2,
3,
3,
2,
1,
2,
4,
3,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
4,
1,
6,
5,
4,
2,
4,
2,
2,
7,
3,
2,
2,
4,
2,
2,
3,
2,
2,
2,
3,
2,
2,
5,
2,
3,
3,
3,
3,
3,
5,
4,
3,
4,
2,
2,
5,
2,
3,
2,
2,
2,
4,
2,
4,
2,
3,
3,
3,
2,
3,
3,
2,
4,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
3,
5,
2,
4,
5,
2,
4,
2,
3,
3,
3,
5,
3,
6,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
4,
6,
4,
4,
3,
3,
3,
3,
3,
4,
3,
4,
4,
3,
4,
2,
2,
3,
4,
4,
2,
1,
1,
1,
2,
3,
2,
4,
2,
1,
4,
5,
3,
2,
4,
2,
4,
5,
3,
4,
4,
4,
1,
1,
3,
2,
2,
2,
4,
7,
2,
3,
2,
2,
2,
2,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
5,
4,
5,
3,
3,
5,
2,
3,
2,
4,
2,
2,
2,
4,
4,
2,
2,
5,
2,
3,
2,
2,
2,
3,
3,
3,
5,
3,
3,
7,
3,
4,
4,
4,
2,
2,
4,
4,
4,
2,
4,
7,
3,
4,
3,
2,
2,
4,
2,
4,
1,
3,
3,
2,
2,
2,
6,
4,
4,
6,
2,
6,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
3,
2,
4,
4,
2,
3,
4,
2,
3,
3,
2,
4,
4,
3,
3,
4,
3,
4,
3,
3,
4,
6,
7,
3,
2,
4,
4,
2,
2,
4,
3,
3,
3,
5,
4,
2,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
4,
4,
2,
2,
2,
3,
2,
2,
2,
3,
3,
4,
4,
2,
4,
6,
4,
2,
3,
5,
4,
3,
2,
2,
3,
1,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
1,
3,
4,
5,
3,
3,
2,
2,
2,
2,
4,
4,
2,
2,
2,
4,
3,
2,
2,
2,
2,
3,
1,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
1,
4,
1,
2,
4,
2,
2,
3,
3,
3,
4,
2,
3,
2,
4,
3,
3,
3,
4,
3,
4,
3,
3,
2,
2,
2,
4,
4,
3,
3,
4,
5,
4,
3,
1,
3,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
3,
4,
6,
5,
4,
4,
6,
6,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
4,
2,
2,
4,
4,
4,
3,
1,
4,
2,
6,
4,
3,
3,
3,
4,
3,
3,
3,
4,
5,
2,
2,
2,
2,
4,
4,
4,
3,
3,
2,
2,
3,
3,
2,
4,
3,
2,
3,
3,
5,
4,
2,
3,
3,
4,
6,
2,
4,
6,
2,
2,
3,
2,
2,
4,
4,
2,
2,
4,
4,
4,
6,
3,
2,
2,
4,
4,
3,
2,
2,
2,
2,
3,
2,
3,
3,
2,
2,
3,
6,
3,
3,
4,
4,
3,
3,
3,
2,
2,
2,
5,
4,
4,
3,
3,
3,
4,
2,
7,
4,
4,
3,
3,
2,
2,
4,
3,
3,
3,
3,
2,
2,
3,
2,
2,
4,
4,
4,
4,
2,
1,
4,
3,
2,
3,
2,
2,
2,
2,
3,
4,
7,
2,
4,
4,
4,
3,
3,
1,
4,
5,
2,
3,
3,
4,
4,
4,
3,
4,
3,
2,
2,
2,
4,
3,
3,
4,
2,
4,
2,
3,
3,
4,
3,
2,
2,
3,
4,
3,
3,
2,
2,
2,
2,
4,
2,
7,
4,
3,
4,
6,
2,
3,
2,
2,
3,
2,
3,
2,
1,
3,
2,
3,
4,
4,
4,
5,
2,
3,
4,
4,
2,
3,
2,
2,
3,
3,
4,
3,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
3,
3,
4,
2,
3,
2,
3,
2,
2,
2,
3,
4,
2,
2,
2,
2,
3,
3,
3,
2,
4,
3,
3,
3,
4,
2,
2,
3,
4,
2,
3,
2,
3,
3,
4,
4,
4,
4,
3,
4,
3,
4,
6,
3,
2,
3,
5,
3,
3,
2,
3,
3,
6,
3,
3,
3,
4,
4,
4,
3,
3,
4,
2,
2,
3,
2,
3,
4,
2,
4,
3,
3,
2,
4,
3,
2,
4,
2,
3,
3,
4,
6,
5,
2,
4,
4,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
4,
2,
2,
5,
4,
2,
2,
3,
3,
3,
2,
2,
2,
2,
4,
4,
2,
4,
4,
2,
2,
2,
4,
6,
2,
3,
3,
4,
1,
6,
6,
4,
4,
4,
4,
3,
4,
4,
2,
3,
2,
3,
3,
4,
3,
2,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
4,
2,
3,
4,
6,
3,
1,
2,
4,
3,
3,
3,
3,
1,
4,
2,
6,
1,
3,
4,
2,
3,
5,
6,
5,
2,
2,
4,
2,
2,
2,
4,
4,
3,
3,
2,
4,
3,
2,
2,
2,
3,
2,
3,
2,
3,
3,
3,
6,
3,
6,
3,
5,
4,
4,
3,
4,
3,
2,
3,
7,
7,
3,
2,
3,
4,
2,
2,
2,
3,
2,
2,
5,
4,
5,
3,
5,
2,
4,
2,
4,
2,
7,
4,
3,
2,
4,
4,
4,
5,
4,
3,
4,
4,
2,
6,
3,
3,
3,
2,
2,
2,
3,
2,
3,
3,
2,
5,
4,
3,
2,
2,
3,
3,
2,
2,
3,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
4,
4,
3,
5,
3,
3,
4,
3,
4,
4,
4,
1,
3,
2,
4,
4,
4,
4,
2,
4,
4,
3,
3,
4,
4,
3,
6,
4,
2,
2,
4,
4,
4,
4,
1,
2,
1,
2,
3,
3,
2,
3,
2,
2,
4,
2,
4,
3,
4,
2,
3,
3,
5,
5,
4,
5,
3,
4,
2,
6,
4,
4,
2,
4,
5,
3,
2,
4,
3,
2,
5,
2,
4,
3,
3,
3,
3,
2,
4,
4,
2,
2,
2,
4,
3,
4,
3,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
4,
4,
5,
2,
3,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
4,
2,
7,
7,
2,
2,
3,
4,
2,
2,
2,
7,
4,
4,
2,
4,
3,
2,
3,
2,
3,
2,
3,
4,
2,
4,
4,
4,
2,
2,
2,
3,
2,
4,
4,
3,
2,
4,
4,
4,
3,
3,
2,
3,
4,
4,
4,
4,
2,
4,
2,
5,
2,
4,
4,
4,
4,
3,
3,
4,
4,
4,
4,
3,
4,
3,
2,
4,
3,
2,
4,
6,
4,
3,
3,
5,
4,
4,
4,
2,
7,
2,
1,
2,
3,
3,
4,
4,
2,
4,
3,
2,
2,
2,
2,
3,
4,
3,
2,
2,
3,
2,
3,
2,
3,
2,
3,
5,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
4,
4,
3,
3,
3,
4,
4,
3,
3,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
5,
2,
2,
2,
4,
3,
4,
3,
4,
7,
5,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
5,
4,
2,
4,
5,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
3,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
1,
2,
2,
4,
3,
2,
4,
4,
4,
2,
2,
4,
4,
4,
2,
3,
3,
3,
3,
2,
3,
4,
3,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
4,
3,
7,
4,
2,
2,
2,
2,
4,
4,
4,
4,
3,
3,
4,
3,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
4,
2,
5,
4,
3,
4,
4,
3,
4,
3,
3,
3,
2,
2,
2,
2,
4,
4,
4,
2,
4,
5,
5,
2,
3,
3,
1,
2,
5,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
4,
8,
4,
5,
5,
2,
4,
4,
5,
3,
4,
4,
4,
4,
4,
3,
3,
5,
3,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
3,
4,
4,
6,
4,
3,
3,
2,
3,
4,
8,
2,
3,
3,
4,
3,
4,
3,
4,
2,
5,
6,
5,
4,
4,
4,
4,
2,
2,
3,
2,
4,
3,
3,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
3,
2,
3,
4,
2,
2,
3,
2,
2,
2,
2,
4,
2,
4,
5,
1,
3,
4,
3,
4,
4,
4,
3,
4,
4,
2,
4,
3,
5,
4,
4,
2,
4,
4,
4,
5,
4,
3,
2,
3,
4,
3,
3,
2,
3,
5,
4,
6,
4,
4,
3,
2,
2,
3,
3,
2,
4,
3,
3,
3,
3,
4,
4,
4,
6,
4,
4,
4,
2,
4,
2,
2,
3,
3,
3,
3,
4,
4,
3,
3,
2,
3,
4,
3,
2,
3,
2,
2,
2,
2,
3,
3,
3,
1,
4,
5,
2,
2,
2,
3,
2,
3,
3,
3,
4,
4,
3,
3,
3,
3,
3,
3,
5,
2,
3,
2,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
4,
4,
1,
3,
4,
4,
6,
6,
4,
4,
4,
4,
3,
4,
3,
3,
3,
3,
6,
4,
3,
4,
4,
2,
6,
2,
4,
4,
4,
3,
2,
3,
4,
2,
4,
3,
2,
3,
2,
2,
3,
4,
2,
2,
4,
4,
6,
6,
2,
3,
5,
5,
5,
2,
5,
3,
4,
3,
4,
2,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
6,
3,
2,
3,
3,
3,
4,
2,
3,
5,
2,
2,
2,
2,
4,
4,
2,
3,
4,
2,
2,
4,
2,
5,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
5,
6,
5,
5,
6,
3,
3,
4,
4,
3,
3,
3,
4,
4,
5,
5,
4,
3,
3,
4,
3,
2,
3,
2,
2,
4,
4,
4,
4,
5,
5,
4,
5,
4,
5,
2,
4,
5,
3,
5,
5,
5,
2,
3,
4,
3,
4,
4,
4,
4,
5,
5,
5,
3,
3,
3,
2,
3,
2,
2,
2,
3,
4,
6,
3,
3,
4,
3,
2,
3,
3,
2,
2,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
4,
3,
3,
3,
4,
3,
3,
2,
3,
3,
3,
3,
3,
7,
3,
3,
3,
3,
2,
5,
1,
3,
4,
4,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
4,
2,
4,
2,
3,
3,
3,
3,
2,
4,
4,
3,
3,
3,
6,
7,
3,
2,
2,
3,
5,
1,
3,
4,
4,
2,
2,
3,
4,
5,
3,
3,
3,
3,
5,
3,
3,
5,
6,
6,
8,
4,
4,
5,
2,
3,
4,
3,
2,
3,
2,
3,
4,
4,
2,
4,
3,
3,
3,
4,
6,
6,
4,
4,
3,
3,
4,
4,
3,
3,
3,
6,
2,
5,
3,
4,
3,
3,
3,
4,
4,
4,
3,
4,
6,
2,
3,
8,
5,
3,
4,
6,
4,
2,
6,
6,
3,
3,
5,
4,
6,
3,
4,
4,
1,
2,
4,
2,
2,
5,
4,
2,
2,
4,
2,
2,
2,
3,
3,
2,
5,
3,
2,
2,
2,
3,
2,
3,
4,
5,
2,
3,
3,
3,
3,
6,
3,
3,
3,
3,
3,
3,
3,
3,
3,
6,
3,
2,
4,
4,
4,
4,
3,
4,
4,
4,
4,
3,
3,
4,
5,
2,
2,
3,
3,
3,
2,
2,
3,
4,
3,
1,
2,
2,
3,
3,
2,
4,
3,
3,
6,
3,
3,
3,
4,
3,
2,
1,
2,
2,
2,
3,
2,
2,
2,
2,
4,
2,
3,
3,
2,
4,
3,
3,
4,
4,
3,
4,
5,
4,
2,
4,
3,
2,
10,
2,
3,
3,
4,
5,
5,
2,
6,
4,
3,
4,
6,
3,
3,
2,
6,
4,
2,
4,
2,
3,
3,
4,
4,
2,
2,
6,
4,
6,
2,
4,
4,
2,
2,
2,
4,
3,
6,
4,
2,
4,
3,
0,
3,
3,
4,
6,
4,
4,
4,
5,
4,
6,
4,
3,
3,
4,
4,
4,
2,
4,
3,
3,
7,
3,
6,
3,
3,
4,
2,
1,
6,
4,
4,
6,
2,
5,
2,
3,
2,
3,
2,
2,
3,
2,
2,
2,
6,
3,
3,
4,
5,
4,
3,
3,
3,
3,
4,
4,
5,
2,
4,
6,
6,
2,
3,
4,
4,
4,
2,
4,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
5,
3,
4,
3,
3,
3,
3,
5,
10,
4,
3,
5,
2,
4,
2,
2,
2,
6,
5,
6,
2,
2,
4,
3,
3,
3,
3,
2,
2,
2,
7,
3,
3,
3,
3,
3,
4,
2,
4,
4,
5,
2,
2,
4,
4,
4,
4,
3,
4,
2,
5,
2,
3,
2,
3,
3,
2,
2,
4,
3,
4,
4,
3,
3,
3,
3,
2,
3,
2,
2,
2,
3,
3,
4,
4,
3,
3,
5,
2,
2,
2,
4,
3,
9,
10,
6,
6,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
2,
6,
3,
4,
3,
2,
4,
8,
4,
4,
3,
1,
2,
3,
3,
7,
3,
3,
2,
3,
3,
3,
4,
2,
4,
5,
2,
3,
2,
4,
2,
2,
4,
1,
2,
2,
2,
5,
3,
4,
6,
3,
6,
3,
2,
3,
5,
9,
1,
3,
4,
2,
4,
2,
4,
3,
4,
2,
2,
2,
4,
3,
3,
2,
2,
5,
3,
2,
3,
5,
4,
2,
4,
2,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
1,
3,
6,
1,
4,
2,
4,
4,
4,
4,
3,
3,
4,
5,
4,
8,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
5,
2,
4,
2,
4,
5,
3,
2,
2,
2,
2,
3,
4,
4,
4,
5,
5,
2,
3,
3,
2,
2,
2,
4,
4,
5,
7,
3,
4,
2,
2,
3,
3,
2,
5,
6,
3,
2,
4,
2,
4,
3,
2,
4,
4,
4,
4,
4,
3,
2,
2,
2,
1,
2,
3,
3,
3,
2,
4,
4,
2,
2,
3,
2,
3,
2,
3,
3,
3,
1,
2,
3,
2,
2,
3,
13,
2,
4,
3,
4,
4,
3,
3,
2,
3,
2,
4,
2,
2,
4,
3,
5,
3,
4,
3,
4,
5,
2,
3,
2,
5,
6,
2,
1,
2,
2,
3,
3,
4,
4,
2,
4,
3,
3,
2,
3,
2,
2,
2,
2,
4,
4,
2,
4,
2,
4,
5,
3,
3,
3,
5,
3,
3,
3,
3,
3,
2,
4,
2,
2,
4,
2,
4,
4,
4,
2,
3,
2,
2,
2,
2,
4,
3,
2,
2,
2,
3,
2,
2,
3,
4,
5,
2,
4,
6,
3,
3,
3,
2,
3,
1,
4,
7,
3,
5,
2,
5,
2,
2,
2,
2,
4,
4,
2,
2,
2,
2,
3,
2,
4,
2,
4,
2,
3,
2,
1,
2,
4,
4,
2,
3,
3,
5,
3,
3,
7,
4,
4,
4,
2,
5,
3,
3,
4,
4,
4,
4,
4,
2,
5,
3,
2,
4,
4,
4,
4,
4,
2,
9,
7,
3,
3,
3,
4,
4,
3,
3,
5,
3,
4,
2,
2,
2,
1,
4,
4,
2,
4,
6,
4,
2,
3,
2,
3,
2,
4,
2,
4,
4,
4,
8,
4,
7,
7,
4,
2,
3,
2,
1,
1,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
3,
3,
3,
5,
3,
2,
4,
2,
5,
5,
4,
2,
2,
7,
3,
3,
2,
3,
2,
5,
3,
2,
2,
3,
3,
4,
4,
4,
2,
3,
4,
5,
5,
3,
3,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
3,
6,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
4,
3,
3,
2,
2,
3,
2,
3,
3,
5,
5,
4,
5,
4,
6,
3,
3,
3,
3,
2,
5,
4,
7,
2,
2,
4,
2,
3,
4,
2,
2,
4,
4,
2,
4,
2,
4,
4,
4,
3,
2,
2,
3,
4,
4,
3,
2,
4,
4,
3,
3,
3,
3,
2,
2,
4,
3,
2,
4,
6,
4,
4,
2,
2,
3,
2,
1,
5,
5,
2,
4,
4,
4,
5,
4,
2,
5,
3,
3,
5,
4,
4,
4,
2,
3,
2,
3,
3,
3,
3,
3,
4,
3,
2,
4,
2,
4,
4,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
3,
2,
3,
9,
5,
5,
3,
3,
4,
2,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
3,
2,
4,
4,
3,
3,
3,
3,
3,
4,
5,
5,
2,
2,
2,
3,
3,
4,
2,
5,
2,
5,
4,
2,
2,
4,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
2,
3,
4,
4,
5,
2,
3,
3,
3,
3,
2,
2,
4,
2,
2,
4,
3,
3,
2,
3,
3,
4,
2,
3,
3,
4,
3,
3,
3,
2,
6,
3,
3,
3,
2,
3,
2,
3,
3,
4,
4,
4,
4,
4,
2,
2,
1,
3,
2,
2,
3,
3,
3,
2,
2,
3,
4,
2,
3,
2,
2,
3,
3,
5,
3,
2,
5,
2,
3,
2,
4,
6,
4,
4,
2,
4,
7,
8,
5,
4,
5,
4,
3,
3,
3,
5,
2,
3,
3,
3,
2,
2,
7,
3,
4,
4,
2,
2,
2,
2,
4,
2,
3,
4,
2,
4,
2,
4,
4,
4,
4,
3,
5,
3,
4,
4,
2,
3,
3,
3,
2,
4,
3,
2,
3,
2,
3,
4,
4,
6,
4,
2,
4,
5,
4,
3,
3,
6,
3,
3,
2,
2,
4,
4,
4,
4,
4,
4,
7,
3,
3,
3,
3,
4,
2,
4,
2,
5,
2,
6,
5,
5,
3,
3,
2,
2,
3,
4,
3,
3,
2,
4,
2,
2,
3,
3,
5,
5,
5,
4,
4,
3,
3,
3,
3,
4,
4,
1,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
3,
2,
4,
2,
4,
2,
4,
4,
4,
4,
4,
2,
4,
4,
5,
2,
2,
3,
3,
3,
2,
2,
4,
3,
4,
6,
4,
3,
3,
5,
2,
3,
2,
4,
2,
4,
4,
3,
3,
6,
6,
6,
6,
3,
5,
3,
3,
5,
3,
5,
2,
4,
3,
4,
4,
3,
2,
3,
3,
3,
3,
1,
3,
3,
2,
2,
3,
2,
4,
3,
2,
2,
2,
2,
2,
2,
6,
4,
3,
2,
3,
3,
5,
4,
2,
2,
3,
4,
2,
5,
4,
4,
4,
3,
2,
2,
3,
2,
2,
6,
3,
7,
2,
4,
1,
2,
4,
4,
2,
2,
1,
1,
1,
1,
1,
4,
4,
3,
4,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
3,
3,
5,
4,
4,
4,
4,
4,
5,
4,
4,
4,
4,
2,
2,
5,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
3,
3,
2,
2,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
2,
2,
5,
5,
3,
5,
3,
3,
3,
3,
7,
4,
2,
2,
2,
3,
2,
4,
4,
2,
3,
2,
3,
3,
4,
4,
2,
2,
3,
4,
4,
4,
2,
2,
2,
2,
3,
3,
4,
2,
1,
4,
4,
3,
4,
3,
2,
2,
2,
2,
5,
2,
3,
4,
3,
6,
6,
4,
4,
2,
2,
2,
4,
6,
2,
2,
3,
2,
4,
4,
2,
4,
6,
2,
2,
5,
2,
2,
8,
4,
3,
4,
5,
3,
3,
3,
3,
3,
4,
4,
4,
6,
2,
3,
3,
4,
2,
2,
2,
6,
5,
4,
4,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
3,
3,
2,
2,
3,
4,
4,
3,
7,
3,
2,
3,
3,
3,
2,
2,
4,
4,
2,
5,
3,
3,
2,
5,
2,
2,
3,
3,
3,
2,
4,
4,
4,
4,
4,
2,
3,
3,
4,
4,
4,
2,
2,
1,
2,
8,
2,
3,
3,
3,
7,
3,
3,
4,
2,
6,
2,
5,
2,
5,
5,
4,
2,
4,
3,
2,
2,
4,
4,
2,
2,
2,
2,
3,
3,
2,
2,
2,
7,
4,
3,
5,
2,
2,
2,
3,
2,
2,
3,
4,
3,
2,
3,
3,
3,
2,
2,
2,
4,
3,
3,
3,
4,
4,
4,
4,
3,
4,
3,
6,
7,
2,
3,
4,
4,
4,
4,
3,
4,
5,
5,
3,
4,
3,
2,
3,
3,
4,
4,
3,
4,
1,
1,
5,
3,
2,
2,
3,
1,
4,
5,
8,
4,
4,
2,
4,
4,
3,
4,
2,
4,
2,
4,
4,
6,
7,
2,
8,
2,
2,
5,
2,
2,
4,
2,
3,
3,
3,
4,
5,
4,
3,
5,
4,
4,
4,
3,
4,
4,
2,
2,
6,
3,
4,
4,
3,
2,
4,
4,
2,
2,
2,
2,
2,
4,
4,
6,
3,
2,
3,
3,
3,
3,
3,
4,
3,
4,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
6,
3,
5,
2,
3,
3,
5,
4,
5,
5,
2,
1,
1,
3,
3,
4,
3,
3,
2,
2,
3,
3,
2,
2,
4,
2,
2,
2,
4,
4,
5,
4,
2,
3,
4,
2,
4,
3,
2,
1,
5,
3,
6,
5,
5,
4,
4,
2,
2,
4,
6,
5,
2,
3,
2,
2,
3,
2,
3,
2,
3,
6,
3,
2,
6,
3,
3,
3,
5,
4,
4,
4,
4,
3,
2,
2,
2,
2,
3,
2,
4,
4,
4,
4,
2,
2,
3,
2,
6,
4,
7,
4,
5,
4,
4,
1,
3,
3,
5,
5,
2,
2,
3,
4,
2,
3,
6,
3,
3,
3,
3,
3,
4,
2,
3,
4,
4,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
2,
2,
4,
4,
2,
2,
6,
2,
4,
3,
3,
4,
3,
2,
6,
2,
4,
4,
4,
4,
2,
2,
3,
4,
3,
3,
3,
3,
4,
4,
4,
3,
2,
4,
2,
3,
3,
3,
2,
3,
4,
8,
4,
4,
2,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
5,
4,
4,
2,
2,
2,
3,
2,
2,
2,
3,
3,
4,
2,
5,
5,
7,
3,
3,
3,
3,
2,
3,
3,
3,
4,
4,
5,
3,
2,
9,
4,
4,
3,
2,
2,
4,
6,
2,
4,
2,
3,
1,
2,
2,
3,
1,
3,
2,
5,
3,
4,
3,
2,
3,
3,
4,
4,
3,
2,
3,
3,
2,
2,
1,
2,
2,
4,
3,
4,
6,
4,
3,
3,
4,
5,
4,
3,
3,
4,
3,
3,
2,
4,
2,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
2,
2,
2,
4,
4,
4,
3,
2,
2,
4,
4,
5,
4,
3,
2,
6,
2,
3,
4,
1,
4,
3,
3,
3,
3,
3,
5,
2,
2,
2,
2,
3,
2,
2,
2,
4,
3,
2,
2,
4,
2,
2,
4,
6,
2,
4,
2,
4,
2,
2,
2,
2,
2,
3,
2,
2,
1,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
4,
4,
3,
4,
4,
3,
3,
3,
4,
3,
3,
3,
2,
2,
3,
2,
3,
3,
4,
3,
2,
2,
4,
2,
4,
2,
4,
4,
4,
3,
3,
3,
2,
2,
4,
4,
4,
2,
3,
4,
4,
3,
4,
5,
2,
2,
3,
2,
2,
2,
5,
3,
2,
3,
2,
4,
2,
4,
8,
4,
4,
4,
2,
4,
4,
3,
2,
2,
2,
3,
1,
4,
5,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
7,
3,
3,
3,
3,
3,
3,
4,
2,
2,
4,
4,
2,
2,
2,
2,
2,
4,
4,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
3,
3,
4,
4,
3,
3,
5,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
2,
5,
4,
3,
3,
2,
3,
3,
4,
4,
8,
4,
4,
3,
4,
3,
4,
4,
3,
2,
3,
3,
4,
3,
4,
3,
3,
3,
3,
4,
5,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
2,
7,
8,
7,
4,
5,
5,
5,
4,
5,
4,
3,
2,
2,
3,
2,
3,
2,
5,
2,
2,
5,
3,
4,
4,
4,
3,
3,
2,
5,
7,
4,
4,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
5,
4,
2,
4,
2,
3,
2,
2,
4,
2,
4,
3,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
1,
4,
2,
2,
3,
3,
3,
3,
4,
2,
3,
3,
5,
2,
2,
2,
3,
3,
4,
4,
5,
4,
2,
2,
3,
3,
4,
4,
2,
2,
3,
2,
2,
2,
4,
2,
2,
3,
3,
3,
2,
4,
3,
6,
3,
2,
4,
3,
4,
4,
2,
2,
2,
2,
5,
4,
3,
2,
2,
3,
3,
4,
2,
2,
3,
4,
3,
3,
7,
4,
3,
7,
3,
2,
3,
4,
4,
2,
4,
3,
3,
2,
2,
3,
3,
3,
4,
3,
3,
3,
4,
3,
4,
2,
3,
2,
7,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
4,
3,
3,
2,
5,
2,
3,
2,
2,
2,
2,
4,
1,
2,
1,
2,
3,
5,
5,
4,
2,
4,
3,
6,
2,
3,
4,
4,
3,
3,
3,
4,
3,
3,
3,
2,
2,
3,
4,
4,
5,
3,
2,
2,
5,
4,
2,
4,
8,
4,
2,
3,
4,
3,
5,
4,
4,
2,
3,
3,
3,
2,
5,
2,
2,
6,
3,
6,
5,
5,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
2,
2,
4,
5,
2,
6,
4,
5,
2,
4,
4,
3,
4,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
4,
4,
2,
4,
3,
4,
3,
4,
2,
2,
2,
2,
4,
4,
3,
3,
2,
1,
4,
3,
2,
4,
4,
3,
5,
3,
3,
2,
3,
2,
3,
4,
3,
3,
3,
3,
3,
2,
3,
4,
3,
3,
3,
3,
2,
3,
3,
4,
4,
3,
4,
4,
4,
2,
3,
4,
4,
2,
2,
2,
2,
4,
3,
3,
3,
5,
5,
3,
6,
2,
2,
3,
3,
2,
3,
2,
3,
3,
3,
4,
4,
3,
3,
2,
2,
2,
5,
3,
3,
4,
5,
6,
4,
4,
4,
2,
2,
3,
3,
1,
3,
3,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
3,
2,
4,
3,
2,
2,
3,
5,
4,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
4,
2,
3,
3,
2,
3,
4,
3,
5,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
2,
4,
2,
5,
5,
3,
2,
4,
4,
2,
2,
3,
2,
3,
3,
1,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
6,
4,
4,
3,
2,
4,
4,
4,
4,
4,
2,
3,
3,
3,
2,
4,
3,
2,
5,
4,
5,
5,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
3,
3,
4,
3,
4,
2,
3,
3,
2,
3,
3,
2,
4,
3,
3,
4,
6,
4,
2,
4,
4,
3,
3,
3,
3,
3,
2,
5,
4,
4,
3,
2,
2,
3,
6,
4,
2,
2,
4,
2,
3,
3,
4,
3,
4,
3,
3,
3,
2,
2,
7,
3,
3,
3,
3,
4,
3,
3,
4,
2,
2,
3,
3,
3,
3,
2,
3,
4,
2,
4,
3,
3,
4,
2,
3,
4,
4,
2,
2,
2,
2,
1,
2,
4,
2,
3,
1,
3,
4,
3,
2,
4,
2,
4,
3,
4,
3,
2,
2,
5,
4,
3,
2,
2,
3,
3,
2,
4,
4,
1,
1,
2,
2,
5,
2,
4,
2,
3,
4,
4,
4,
4,
6,
2,
5,
3,
3,
5,
3,
3,
7,
4,
3,
4,
3,
2,
4,
2,
5,
5,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
5,
2,
4,
7,
3,
2,
1,
4,
5,
3,
3,
3,
3,
4,
2,
2,
7,
2,
3,
3,
4,
4,
2,
5,
2,
4,
4,
2,
3,
5,
5,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
2,
2,
4,
2,
5,
4,
4,
3,
2,
2,
2,
3,
3,
4,
4,
3,
4,
4,
4,
4,
5,
3,
3,
4,
2,
2,
2,
3,
2,
3,
2,
2,
4,
3,
6,
2,
3,
5,
3,
3,
4,
5,
3,
5,
5,
2,
2,
5,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
3,
3,
3,
4,
4,
2,
2,
3,
3,
2,
3,
4,
4,
2,
2,
2,
4,
4,
2,
2,
4,
1,
5,
3,
5,
2,
4,
4,
3,
3,
2,
2,
5,
4,
2,
2,
2,
1,
3,
2,
4,
2,
5,
2,
2,
2,
3,
2,
2,
2,
2,
3,
4,
4,
1,
3,
4,
4,
2,
2,
6,
4,
6,
2,
4,
3,
2,
4,
3,
2,
2,
3,
5,
3,
3,
6,
6,
4,
5,
4,
2,
4,
4,
4,
2,
4,
2,
2,
2,
2,
3,
2,
1,
1,
2,
2,
2,
3,
2,
2,
3,
2,
3,
3,
3,
3,
3,
2,
2,
3,
4,
5,
4,
4,
4,
4,
4,
3,
2,
3,
4,
2,
3,
3,
4,
2,
4,
2,
4,
4,
3,
4,
3,
3,
3,
3,
3,
4,
4,
4,
3,
4,
5,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
6,
3,
3,
3,
4,
3,
3,
4,
2,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
2,
2,
3,
3,
3,
4,
2,
2,
3,
3,
5,
3,
2,
4,
4,
7,
2,
2,
3,
2,
4,
2,
2,
2,
2,
4,
4,
3,
2,
3,
4,
5,
6,
4,
4,
2,
3,
4,
4,
2,
3,
3,
4,
4,
4,
2,
2,
5,
2,
3,
2,
4,
2,
2,
3,
6,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
5,
4,
5,
5,
4,
5,
2,
2,
2,
2,
8,
4,
2,
2,
3,
3,
3,
3,
4,
2,
3,
3,
4,
3,
6,
7,
3,
3,
4,
2,
4,
3,
3,
4,
2,
6,
2,
3,
2,
2,
4,
4,
4,
4,
3,
3,
3,
3,
4,
3,
3,
3,
2,
2,
2,
4,
2,
6,
2,
2,
2,
4,
3,
4,
3,
5,
4,
4,
4,
3,
2,
4,
4,
5,
3,
5,
6,
3,
5,
2,
3,
2,
2,
1,
2,
3,
4,
3,
3,
6,
7,
3,
2,
2,
3,
4,
4,
2,
1,
2,
5,
3,
2,
3,
2,
6,
2,
4,
5,
5,
2,
2,
2,
5,
2,
3,
3,
3,
3,
2,
2,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
2,
3,
2,
3,
6,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
5,
6,
3,
3,
4,
5,
4,
4,
2,
3,
4,
4,
4,
4,
3,
4,
3,
5,
5,
5,
4,
2,
3,
4,
4,
3,
3,
3,
2,
3,
4,
6,
2,
2,
2,
4,
2,
1,
4,
2,
2,
2,
4,
4,
2,
3,
4,
6,
4,
3,
3,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
2,
3,
3,
1,
4,
2,
3,
2,
3,
5,
3,
2,
3,
4,
4,
2,
3,
3,
4,
2,
3,
3,
2,
2,
3,
3,
4,
5,
2,
3,
4,
5,
3,
3,
1,
3,
3,
2,
2,
2,
2,
2,
6,
4,
4,
4,
4,
2,
4,
3,
2,
4,
2,
2,
2,
5,
4,
2,
4,
4,
4,
4,
4,
5,
5,
4,
3,
3,
4,
2,
2,
2,
4,
2,
2,
3,
4,
2,
2,
2,
2,
4,
3,
3,
3,
4,
6,
7,
2,
2,
2,
2,
2,
1,
5,
6,
3,
3,
4,
2,
4,
4,
3,
4,
3,
3,
4,
3,
3,
3,
3,
3,
2,
3,
3,
6,
2,
3,
3,
2,
2,
4,
4,
4,
4,
3,
2,
2,
2,
3,
3,
2,
3,
3,
3,
4,
4,
4,
4,
2,
4,
2,
7,
5,
3,
2,
4,
4,
4,
2,
3,
2,
2,
2,
4,
4,
2,
2,
2,
2,
6,
3,
2,
3,
3,
1,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
3,
2,
3,
3,
3,
3,
3,
4,
2,
3,
3,
3,
3,
3,
5,
4,
3,
2,
4,
4,
3,
3,
2,
3,
4,
2,
2,
2,
3,
1,
5,
7,
2,
3,
3,
4,
3,
4,
2,
2,
4,
1,
4,
5,
4,
4,
3,
5,
2,
2,
4,
4,
4,
5,
3,
3,
4,
3,
4,
3,
3,
3,
4,
4,
4,
7,
4,
4,
2,
4,
5,
5,
4,
5,
7,
1,
4,
5,
4,
3,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
2,
2,
3,
4,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
5,
5,
5,
5,
3,
3,
5,
2,
5,
3,
6,
1,
2,
3,
2,
3,
2,
3,
2,
3,
2,
4,
2,
2,
2,
3,
4,
2,
3,
2,
5,
3,
3,
3,
6,
3,
3,
4,
5,
5,
4,
6,
3,
3,
2,
3,
3,
4,
2,
3,
2,
4,
3,
2,
4,
4,
4,
3,
2,
3,
3,
2,
3,
2,
2,
2,
2,
4,
1,
4,
1,
1,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
4,
4,
2,
2,
2,
5,
2,
4,
4,
2,
2,
4,
6,
4,
4,
3,
3,
3,
4,
4,
4,
2,
2,
3,
3,
2,
2,
2,
5,
4,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
5,
4,
6,
4,
2,
2,
2,
7,
4,
5,
4,
5,
2,
2,
3,
3,
2,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
2,
3,
4,
4,
2,
3,
2,
3,
3,
2,
2,
4,
4,
4,
5,
2,
4,
5,
3,
3,
3,
3,
2,
3,
3,
6,
4,
3,
5,
2,
2,
4,
2,
3,
3,
4,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
7,
4,
4,
5,
3,
4,
2,
4,
4,
4,
6,
4,
2,
2,
2,
2,
3,
4,
4,
5,
3,
3,
2,
2,
2,
2,
3,
4,
4,
2,
3,
2,
2,
4,
2,
5,
2,
3,
3,
3,
2,
3,
6,
4,
4,
3,
2,
2,
2,
2,
2,
6,
4,
4,
4,
3,
2,
2,
2,
3,
2,
2,
4,
4,
5,
4,
5,
4,
3,
4,
2,
3,
3,
6,
2,
1,
2,
2,
6,
8,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
2,
2,
4,
4,
2,
2,
4,
2,
2,
3,
2,
2,
2,
3,
3,
3,
4,
4,
3,
3,
5,
4,
4,
3,
4,
5,
3,
4,
2,
3,
3,
4,
2,
4,
5,
4,
3,
2,
2,
3,
3,
3,
3,
2,
4,
2,
2,
3,
3,
4,
5,
5,
2,
3,
2,
2,
7,
2,
3,
3,
2,
4,
3,
3,
3,
4,
4,
3,
2,
2,
4,
3,
2,
4,
3,
3,
3,
2,
2,
3,
3,
4,
3,
2,
7,
4,
4,
4,
4,
4,
4,
4,
4,
4,
1,
4,
4,
5,
3,
3,
4,
3,
3,
3,
3,
2,
2,
4,
3,
3,
4,
4,
3,
3,
3,
4,
3,
3,
2,
3,
2,
3,
4,
2,
4,
4,
2,
1,
3,
4,
3,
3,
2,
2,
2,
4,
2,
3,
3,
3,
1,
2,
2,
2,
3,
3,
4,
4,
4,
2,
2,
2,
3,
3,
2,
2,
1,
3,
2,
4,
4,
4,
3,
3,
4,
5,
2,
2,
3,
3,
2,
5,
3,
3,
3,
5,
5,
2,
4,
2,
2,
2,
5,
4,
3,
2,
4,
5,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
3,
4,
5,
2,
2,
4,
2,
4,
3,
2,
3,
3,
4,
4,
4,
4,
3,
4,
2,
4,
4,
2,
5,
3,
4,
3,
4,
4,
4,
2,
5,
5,
4,
6,
3,
2,
3,
3,
2,
4,
1,
2,
2,
3,
6,
5,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
2,
5,
3,
4,
3,
3,
5,
4,
2,
4,
4,
4,
5,
4,
3,
2,
2,
3,
2,
3,
3,
3,
3,
2,
2,
2,
1,
2,
2,
2,
3,
2,
2,
2,
3,
5,
3,
2,
3,
2,
4,
3,
3,
4,
3,
2,
3,
3,
3,
3,
4,
2,
5,
4,
4,
2,
4,
2,
2,
2,
2,
3,
3,
2,
4,
4,
2,
4,
4,
4,
4,
2,
4,
3,
3,
2,
3,
3,
4,
4,
4,
4,
3,
3,
1,
2,
2,
2,
4,
1,
4,
3,
4,
2,
3,
3,
1,
3,
3,
1,
2,
4,
8,
4,
7,
2,
3,
2,
3,
2,
4,
4,
4,
4,
3,
2,
2,
1,
4,
3,
3,
2,
5,
7,
3,
4,
7,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
3,
2,
2,
1,
3,
2,
2,
2,
2,
3,
2,
4,
5,
2,
4,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
4,
3,
3,
6,
2,
3,
3,
5,
3,
2,
4,
2,
2,
4,
3,
4,
4,
4,
5,
3,
4,
4,
4,
2,
4,
3,
4,
4,
6,
4,
3,
2,
1,
2,
2,
4,
3,
3,
3,
3,
3,
4,
4,
5,
4,
6,
1,
4,
4,
3,
3,
2,
4,
2,
4,
6,
3,
4,
2,
3,
3,
3,
2,
4,
5,
4,
2,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
3,
6,
2,
4,
4,
5,
4,
4,
3,
4,
4,
4,
3,
3,
2,
1,
2,
4,
4,
5,
1,
2,
2,
2,
2,
3,
2,
4,
2,
2,
5,
4,
2,
2,
3,
2,
2,
4,
2,
2,
2,
3,
4,
2,
4,
4,
4,
4,
3,
2,
2,
3,
2,
4,
2,
4,
2,
1,
2,
2,
2,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
5,
1,
4,
4,
4,
5,
5,
4,
4,
4,
2,
2,
2,
4,
3,
2,
4,
5,
3,
3,
5,
4,
2,
3,
3,
2,
2,
4,
2,
4,
4,
2,
3,
3,
2,
2,
3,
3,
4,
4,
4,
4,
2,
4,
3,
5,
2,
1,
4,
3,
4,
3,
4,
5,
2,
3,
4,
2,
3,
3,
3,
2,
2,
3,
3,
4,
3,
5,
2,
2,
3,
2,
2,
2,
2,
4,
5,
4,
5,
5,
4,
4,
4,
4,
2,
3,
2,
3,
2,
2,
3,
2,
2,
2,
5,
3,
3,
2,
4,
3,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
1,
2,
3,
3,
4,
2,
4,
2,
4,
4,
2,
1,
3,
2,
2,
3,
2,
2,
2,
6,
6,
6,
2,
4,
4,
3,
4,
8,
2,
2,
2,
2,
2,
1,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
4,
5,
2,
2,
3,
1,
4,
4,
4,
4,
4,
4,
2,
4,
3,
6,
1,
2,
4,
2,
3,
4,
1,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
4,
3,
4,
6,
3,
3,
5,
3,
3,
3,
4,
4,
2,
5,
5,
4,
4,
4,
4,
4,
2,
4,
2,
4,
4,
2,
3,
3,
4,
3,
3,
3,
5,
4,
3,
4,
4,
4,
4,
3,
2,
4,
4,
6,
2,
2,
4,
5,
2,
4,
5,
7,
2,
4,
4,
3,
4,
4,
5,
2,
5,
4,
5,
5,
4,
4,
3,
5,
4,
4,
4,
3,
3,
2,
4,
4,
3,
2,
4,
3,
3,
2,
4,
3,
2,
4,
6,
5,
5,
4,
2,
3,
2,
4,
4,
4,
3,
2,
2,
4,
2,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
5,
5,
3,
4,
4,
3,
4,
3,
4,
4,
3,
3,
3,
2,
3,
7,
7,
2,
2,
7,
5,
3,
2,
2,
2,
1,
2,
3,
3,
3,
3,
4,
4,
3,
3,
2,
2,
3,
4,
4,
4,
4,
4,
5,
4,
4,
2,
4,
3,
3,
3,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
2,
4,
3,
3,
4,
3,
2,
2,
2,
3,
1,
4,
8,
3,
3,
3,
2,
4,
2,
4,
6,
3,
2,
3,
4,
2,
2,
2,
2,
1,
4,
4,
3,
3,
3,
3,
6,
3,
3,
2,
4,
3,
3,
1,
2,
3,
3,
1,
4,
2,
3,
4,
5,
4,
3,
1,
2,
3,
2,
3,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
3,
3,
4,
2,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
8,
3,
5,
8,
4,
5,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
4,
3,
3,
4,
3,
5,
2,
4,
3,
3,
3,
6,
6,
3,
3,
4,
4,
4,
3,
3,
3,
2,
1,
4,
3,
2,
3,
3,
3,
3,
2,
3,
5,
4,
4,
2,
4,
4,
4,
6,
6,
6,
4,
2,
4,
2,
3,
3,
3,
2,
2,
3,
2,
3,
3,
3,
2,
2,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
3,
3,
4,
4,
3,
4,
2,
5,
2,
2,
1,
2,
2,
2,
2,
2,
5,
6,
3,
4,
4,
2,
3,
3,
2,
5,
2,
2,
3,
3,
3,
2,
3,
3,
4,
2,
4,
4,
4,
4,
4,
5,
2,
2,
3,
3,
3,
2,
3,
4,
2,
3,
3,
3,
3,
3,
4,
3,
3,
2,
2,
2,
1,
2,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
3,
4,
6,
2,
5,
4,
4,
4,
4,
3,
9,
4,
7,
2,
5,
8,
4,
6,
6,
2,
2,
7,
1,
3,
4,
2,
2,
2,
2,
2,
3,
3,
4,
2,
3,
3,
4,
4,
5,
5,
4,
2,
2,
3,
2,
3,
4,
2,
2,
3,
3,
3,
4,
2,
6,
3,
4,
3,
4,
3,
5,
4,
3,
2,
4,
3,
2,
2,
4,
4,
4,
5,
5,
3,
3,
5,
4,
3,
3,
4,
2,
2,
2,
3,
2,
2,
8,
4,
4,
2,
6,
6,
5,
4,
2,
5,
7,
4,
3,
4,
4,
4,
2,
2,
4,
4,
4,
2,
4,
2,
2,
4,
6,
4,
7,
3,
3,
2,
4,
5,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
1,
2,
3,
2,
2,
4,
4,
4,
3,
3,
4,
3,
3,
4,
2,
2,
3,
4,
3,
4,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
4,
4,
2,
3,
3,
4,
4,
2,
4,
4,
5,
4,
3,
4,
4,
3,
3,
6,
3,
3,
2,
2,
2,
3,
3,
3,
3,
5,
3,
5,
5,
2,
2,
2,
3,
3,
4,
5,
4,
2,
2,
4,
2,
2,
3,
2,
2,
2,
2,
2,
3,
3,
4,
1,
4,
2,
4,
4,
5,
2,
2,
2,
6,
3,
3,
2,
4,
4,
2,
2,
5,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
3,
2,
4,
1,
4,
2,
2,
4,
3,
2,
3,
4,
3,
7,
2,
2,
2,
2,
4,
3,
2,
3,
4,
3,
4,
4,
4,
4,
4,
2,
4,
2,
4,
3,
5,
3,
2,
3,
4,
5,
4,
2,
3,
4,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
9,
3,
2,
2,
5,
4,
4,
3,
1,
5,
3,
5,
4,
5,
3,
3,
2,
2,
2,
2,
4,
8,
6,
2,
4,
4,
4,
4,
4,
5,
4,
4,
3,
5,
2,
2,
2,
4,
2,
2,
4,
4,
4,
4,
2,
5,
3,
3,
3,
5,
5,
3,
5,
5,
5,
3,
5,
3,
3,
5,
3,
1,
2,
4,
2,
2,
2,
5,
5,
6,
6,
3,
2,
2,
2,
4,
4,
2,
2,
4,
4,
4,
2,
2,
2,
4,
3,
3,
5,
3,
2,
3,
3,
2,
6,
3,
4,
2,
3,
3,
4,
4,
3,
2,
3,
4,
6,
2,
4,
3,
2,
3,
3,
3,
3,
4,
4,
3,
4,
2,
2,
2,
4,
4,
5,
2,
4,
1,
2,
2,
4,
4,
3,
3,
3,
3,
2,
4,
2,
5,
4,
3,
4,
3,
4,
4,
4,
3,
3,
3,
2,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
5,
2,
5,
4,
1,
2,
4,
8,
5,
3,
3,
6,
2,
2,
4,
6,
3,
4,
3,
3,
4,
5,
6,
7,
4,
4,
4,
2,
4,
4,
4,
4,
4,
6,
4,
3,
4,
2,
2,
4,
4,
4,
3,
2,
3,
2,
3,
3,
3,
3,
3,
2,
3,
2,
2,
3,
2,
5,
5,
4,
3,
4,
4,
4,
2,
2,
2,
2,
3,
2,
6,
3,
4,
2,
4,
5,
3,
3,
4,
4,
6,
2,
2,
4,
4,
2,
3,
3,
3,
3,
4,
4,
4,
5,
5,
3,
4,
3,
3,
3,
3,
2,
2,
4,
2,
4,
4,
2,
4,
4,
2,
4,
4,
4,
5,
5,
3,
3,
3,
3,
4,
5,
2,
3,
6,
4,
4,
3,
3,
4,
3,
4,
4,
5,
5,
3,
4,
2,
2,
3,
4,
6,
4,
2,
4,
4,
1,
4,
3,
4,
3,
4,
4,
2,
3,
4,
3,
3,
2,
2,
2,
4,
2,
3,
3,
5,
2,
4,
3,
2,
2,
2,
3,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
5,
5,
6,
3,
2,
3,
4,
3,
1,
3,
3,
1,
4,
5,
4,
5,
4,
5,
2,
4,
2,
4,
4,
4,
4,
3,
3,
4,
3,
3,
4,
5,
4,
4,
8,
3,
4,
4,
4,
4,
4,
5,
2,
3,
3,
4,
5,
5,
5,
4,
3,
3,
3,
3,
3,
2,
4,
4,
2,
6,
3,
2,
2,
4,
7,
2,
3,
4,
4,
3,
4,
5,
4,
2,
2,
2,
5,
3,
3,
5,
3,
4,
8,
3,
3,
3,
2,
1,
2,
5,
3,
2,
3,
3,
4,
4,
5,
5,
2,
2,
2,
2,
4,
3,
3,
2,
4,
7,
2,
2,
3,
3,
3,
3,
3,
2,
3,
3,
4,
2,
2,
4,
2,
4,
7,
7,
6,
4,
4,
4,
6,
6,
4,
3,
4,
3,
4,
4,
4,
4,
3,
4,
5,
3,
2,
2,
2,
6,
2,
2,
2,
5,
2,
2,
3,
2,
3,
2,
4,
4,
3,
2,
3,
3,
6,
4,
4,
4,
5,
2,
4,
3,
5,
5,
3,
2,
1,
3,
6,
4,
2,
2,
2,
2,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
5,
2,
3,
4,
3,
4,
4,
4,
6,
2,
4,
2,
2,
3,
2,
4,
3,
4,
2,
4,
2,
2,
2,
2,
2,
5,
2,
5,
4,
2,
2,
1,
5,
2,
3,
3,
3,
3,
2,
2,
2,
1,
2,
2,
3,
3,
2,
2,
5,
4,
3,
2,
5,
6,
4,
4,
4,
3,
3,
2,
6,
3,
2,
2,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
1,
2,
3,
2,
4,
3,
4,
4,
4,
2,
3,
2,
2,
4,
3,
2,
2,
2,
2,
4,
3,
2,
3,
6,
3,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
4,
2,
3,
1,
2,
2,
4,
2,
2,
4,
2,
4,
2,
3,
5,
1,
2,
3,
6,
5,
4,
4,
4,
4,
3,
3,
4,
4,
5,
3,
7,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
5,
5,
1,
4,
1,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
5,
5,
5,
3,
3,
3,
4,
4,
5,
4,
4,
4,
2,
4,
3,
3,
4,
4,
4,
4,
4,
3,
2,
3,
4,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
2,
2,
2,
2,
3,
8,
2,
9,
2,
4,
3,
2,
2,
2,
3,
4,
6,
3,
3,
4,
4,
1,
3,
2,
2,
2,
2,
5,
3,
3,
1,
3,
3,
5,
3,
6,
3,
3,
4,
2,
4,
4,
2,
4,
3,
2,
3,
3,
4,
3,
3,
3,
4,
3,
3,
2,
3,
3,
3,
4,
3,
3,
2,
4,
2,
6,
3,
2,
3,
4,
5,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
1,
2,
2,
3,
4,
8,
2,
2,
4,
4,
4,
5,
5,
4,
4,
4,
3,
4,
6,
4,
5,
4,
2,
4,
3,
3,
4,
4,
8,
8,
6,
3,
7,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
2,
4,
8,
4,
3,
2,
5,
8,
5,
3,
4,
3,
5,
7,
3,
4,
5,
3,
3,
3,
1,
2,
2,
2,
2,
3,
3,
3,
7,
4,
4,
4,
4,
4,
2,
9,
4,
3,
4,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
2,
4,
2,
4,
4,
4,
4,
2,
4,
2,
4,
3,
2,
4,
4,
2,
2,
5,
2,
2,
4,
2,
3,
4,
4,
3,
1,
2,
3,
2,
3,
4,
2,
2,
2,
3,
3,
2,
2,
2,
3,
2,
3,
3,
3,
2,
2,
3,
2,
2,
2,
4,
2,
3,
5,
5,
4,
6,
5,
5,
4,
2,
2,
2,
2,
3,
4,
4,
2,
2,
2,
2,
2,
5,
4,
2,
3,
3,
3,
3,
2,
4,
2,
4,
4,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
3,
4,
5,
4,
2,
3,
2,
2,
4,
3,
3,
2,
2,
2,
3,
3,
3,
4,
4,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
4,
3,
4,
5,
3,
3,
3,
4,
2,
2,
3,
3,
3,
2,
6,
4,
2,
2,
4,
4,
4,
2,
3,
4,
2,
4,
1,
4,
2,
2,
1,
3,
4,
4,
5,
3,
4,
3,
3,
3,
4,
2,
3,
4,
4,
4,
3,
3,
4,
4,
2,
4,
2,
3,
2,
2,
3,
3,
3,
2,
8,
2,
4,
2,
4,
3,
2,
2,
3,
2,
3,
2,
2,
3,
5,
4,
2,
6,
2,
4,
2,
2,
2,
4,
1,
2,
3,
5,
2,
4,
2,
3,
2,
3,
4,
3,
2,
2,
4,
7,
4,
4,
2,
2,
3,
2,
2,
4,
3,
1,
4,
2,
3,
2,
3,
3,
3,
4,
3,
2,
3,
3,
2,
3,
3,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
8,
2,
3,
2,
5,
3,
3,
2,
3,
3,
3,
2,
4,
1,
2,
4,
4,
2,
2,
3,
2,
3,
3,
3,
3,
4,
2,
2,
2,
3,
2,
4,
2,
4,
7,
3,
2,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
5,
3,
4,
3,
3,
2,
2,
3,
2,
3,
4,
2,
2,
2,
5,
3,
2,
3,
3,
2,
3,
2,
5,
3,
2,
2,
3,
4,
2,
2,
4,
3,
3,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
5,
4,
2,
2,
2,
5,
4,
6,
3,
3,
3,
4,
3,
3,
5,
4,
4,
5,
2,
4,
2,
2,
2,
6,
3,
4,
3,
6,
4,
3,
2,
4,
2,
4,
4,
8,
8,
4,
4,
2,
4,
2,
2,
2,
3,
4,
3,
4,
1,
2,
2,
2,
3,
4,
3,
4,
4,
4,
3,
2,
4,
3,
2,
3,
1,
4,
4,
4,
2,
4,
2,
3,
2,
2,
4,
4,
1,
4,
4,
3,
4,
3,
6,
3,
2,
4,
3,
3,
4,
3,
4,
3,
3,
3,
3,
3,
2,
4,
4,
2,
2,
4,
2,
3,
1,
3,
4,
4,
2,
4,
4,
2,
2,
2,
2,
3,
2,
4,
3,
4,
4,
4,
4,
3,
2,
2,
6,
2,
5,
2,
2,
3,
2,
2,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
2,
3,
4,
7,
4,
4,
4,
3,
1,
4,
3,
1,
3,
4,
3,
2,
5,
2,
4,
4,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
4,
2,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
4,
2,
2,
6,
2,
2,
2,
4,
5,
3,
4,
3,
4,
3,
3,
4,
4,
4,
4,
4,
4,
3,
6,
7,
4,
2,
4,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
4,
4,
2,
2,
2,
4,
3,
4,
2,
2,
4,
3,
4,
6,
2,
2,
2,
3,
3,
2,
2,
3,
3,
4,
2,
5,
3,
2,
3,
3,
2,
3,
2,
4,
2,
4,
4,
4,
4,
3,
2,
4,
5,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
5,
4,
3,
4,
2,
3,
4,
5,
3,
4,
4,
4,
6,
2,
4,
3,
7,
4,
2,
2,
3,
4,
4,
2,
2,
2,
2,
5,
3,
4,
4,
3,
2,
2,
2,
4,
2,
3,
5,
1,
2,
2,
2,
2,
2,
4,
4,
4,
3,
1,
3,
3,
2,
4,
2,
3,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
4,
3,
3,
3,
4,
3,
5,
5,
4,
2,
3,
3,
4,
3,
3,
4,
2,
2,
2,
3,
3,
4,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
5,
2,
3,
4,
5,
3,
5,
5,
4,
2,
2,
2,
2,
5,
5,
4,
4,
4,
6,
4,
4,
4,
4,
4,
4,
4,
4,
5,
4,
5,
3,
3,
4,
4,
4,
3,
5,
5,
6,
2,
2,
3,
4,
4,
1,
2,
2,
4,
2,
4,
4,
7,
4,
2,
4,
4,
2,
2,
2,
3,
5,
2,
1,
3,
3,
2,
2,
2,
2,
4,
3,
4,
3,
3,
3,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
2,
3,
2,
3,
7,
4,
2,
2,
3,
2,
3,
4,
4,
2,
5,
5,
3,
2,
3,
2,
4,
2,
4,
7,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
2,
3,
3,
2,
5,
5,
4,
5,
5,
4,
4,
2,
2,
2,
2,
3,
4,
2,
5,
4,
3,
4,
9,
2,
2,
2,
2,
3,
4,
2,
4,
4,
5,
4,
4,
4,
4,
2,
4,
7,
4,
6,
7,
3,
3,
3,
3,
3,
3,
3,
4,
5,
3,
3,
3,
2,
3,
7,
7,
2,
2,
3,
4,
4,
3,
1,
3,
2,
2,
3,
2,
4,
2,
2,
2,
3,
3,
2,
4,
2,
2,
4,
4,
2,
4,
2,
5,
2,
2,
2,
3,
6,
4,
2,
4,
4,
4,
3,
4,
4,
2,
2,
5,
2,
4,
2,
6,
4,
2,
3,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
4,
4,
6,
1,
3,
5,
4,
2,
4,
3,
1,
2,
4,
5,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
5,
3,
2,
2,
2,
4,
2,
2,
7,
4,
4,
5,
4,
4,
4,
5,
2,
2,
4,
4,
4,
4,
5,
4,
2,
2,
4,
3,
2,
2,
4,
1,
2,
4,
2,
1,
5,
3,
4,
3,
4,
5,
5,
4,
4,
4,
4,
5,
4,
2,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
4,
4,
1,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
6,
4,
4,
3,
3,
2,
3,
3,
6,
4,
4,
4,
5,
3,
3,
3,
4,
4,
3,
4,
3,
5,
4,
4,
4,
2,
4,
1,
4,
3,
3,
2,
2,
4,
2,
4,
2,
2,
4,
2,
4,
4,
5,
4,
3,
5,
4,
4,
4,
2,
2,
4,
2,
3,
5,
2,
6,
3,
3,
3,
3,
5,
3,
4,
4,
3,
2,
4,
4,
4,
3,
2,
4,
4,
3,
4,
6,
2,
2,
4,
2,
3,
2,
3,
3,
3,
3,
2,
2,
4,
6,
6,
4,
4,
4,
5,
2,
3,
2,
4,
4,
3,
3,
3,
3,
2,
2,
2,
3,
2,
4,
2,
2,
4,
3,
3,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
3,
1,
4,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
3,
3,
4,
4,
7,
4,
4,
4,
3,
4,
4,
4,
4,
3,
2,
4,
3,
2,
2,
6,
6,
2,
2,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
7,
7,
5,
4,
4,
3,
6,
2,
2,
3,
4,
4,
2,
2,
3,
4,
4,
4,
3,
3,
2,
4,
2,
3,
2,
3,
1,
2,
2,
3,
2,
3,
3,
4,
3,
3,
2,
2,
2,
2,
1,
2,
2,
4,
4,
4,
3,
3,
1,
1,
3,
2,
2,
3,
2,
5,
2,
2,
2,
3,
3,
3,
4,
4,
4,
6,
3,
4,
3,
3,
3,
3,
4,
6,
2,
4,
2,
4,
5,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
4,
2,
2,
4,
2,
1,
4,
4,
2,
2,
4,
2,
4,
3,
2,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
6,
2,
3,
5,
3,
4,
2,
5,
5,
2,
5,
5,
6,
4,
5,
5,
3,
2,
2,
2,
2,
2,
4,
4,
3,
2,
2,
2,
3,
4,
3,
2,
3,
2,
5,
5,
3,
2,
2,
4,
2,
4,
4,
4,
2,
4,
2,
4,
2,
4,
1,
4,
4,
3,
4,
4,
4,
5,
5,
2,
3,
3,
5,
5,
3,
2,
2,
2,
2,
1,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
1,
4,
2,
4,
4,
3,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
2,
3,
3,
2,
3,
3,
3,
2,
2,
3,
4,
3,
4,
3,
4,
2,
4,
2,
4,
2,
2,
2,
3,
4,
5,
4,
2,
2,
3,
4,
6,
2,
4,
5,
4,
3,
2,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
4,
2,
4,
4,
5,
2,
7,
4,
3,
2,
3,
3,
3,
3,
3,
3,
2,
3,
6,
2,
2,
7,
7,
3,
5,
3,
2,
4,
2,
4,
6,
2,
4,
2,
3,
2,
4,
4,
3,
3,
2,
2,
2,
2,
5,
3,
3,
2,
1,
1,
3,
3,
3,
2,
4,
2,
3,
2,
4,
3,
3,
3,
3,
3,
4,
4,
4,
5,
4,
6,
2,
2,
2,
2,
2,
6,
4,
2,
5,
4,
4,
2,
3,
3,
3,
3,
3,
3,
4,
7,
7,
3,
4,
4,
2,
2,
2,
2,
5,
4,
4,
1,
2,
3,
5,
2,
4,
4,
6,
4,
2,
3,
3,
2,
2,
2,
2,
3,
3,
2,
2,
5,
3,
4,
2,
3,
2,
4,
2,
4,
4,
3,
3,
7,
3,
2,
3,
4,
3,
4,
3,
2,
3,
3,
4,
3,
4,
3,
4,
2,
3,
3,
2,
2,
3,
4,
4,
2,
4,
4,
4,
4,
4,
2,
2,
3,
4,
2,
4,
4,
7,
2,
2,
2,
3,
4,
4,
4,
5,
4,
2,
4,
2,
2,
3,
4,
2,
2,
4,
4,
2,
4,
4,
3,
2,
2,
2,
3,
3,
2,
3,
4,
4,
3,
4,
6,
3,
2,
2,
4,
3,
5,
4,
3,
4,
4,
5,
1,
2,
3,
4,
4,
2,
3,
3,
8,
2,
4,
3,
2,
2,
4,
4,
3,
5,
2,
2,
2,
2,
2,
2,
4,
2,
6,
5,
4,
3,
4,
4,
4,
4,
4,
3,
4,
4,
3,
3,
4,
4,
2,
3,
4,
4,
3,
4,
3,
3,
2,
4,
4,
4,
3,
3,
3,
2,
5,
4,
4,
4,
2,
3,
2,
3,
2,
4,
3,
2,
4,
4,
2,
3,
4,
2,
3,
3,
3,
3,
4,
3,
2,
2,
4,
3,
2,
4,
2,
2,
2,
3,
5,
4,
4,
2,
4,
4,
4,
4,
3,
2,
2,
5,
3,
2,
3,
4,
3,
3,
4,
3,
3,
3,
3,
5,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
5,
3,
6,
2,
3,
5,
3,
2,
3,
3,
4,
2,
3,
2,
5,
3,
5,
6,
2,
2,
3,
3,
3,
3,
4,
3,
2,
3,
2,
3,
3,
2,
2,
4,
3,
3,
3,
4,
3,
3,
3,
6,
4,
4,
5,
3,
4,
4,
4,
3,
5,
4,
2,
4,
3,
2,
2,
2,
2,
3,
3,
3,
4,
4,
5,
5,
3,
3,
4,
4,
3,
8,
8,
4,
6,
6,
1,
3,
3,
3,
3,
2,
2,
3,
4,
3,
3,
3,
3,
2,
3,
2,
3,
3,
3,
2,
4,
7,
6,
2,
3,
4,
3,
4,
2,
2,
2,
3,
3,
3,
2,
4,
2,
2,
4,
4,
2,
3,
3,
6,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
2,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
2,
2,
4,
4,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
4,
3,
2,
4,
4,
2,
2,
2,
3,
4,
3,
2,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
4,
4,
2,
2,
2,
4,
4,
4,
4,
3,
5,
4,
3,
2,
3,
2,
2,
4,
4,
2,
2,
4,
6,
2,
2,
2,
5,
3,
3,
4,
3,
2,
2,
3,
3,
4,
5,
6,
5,
3,
2,
3,
7,
6,
4,
2,
3,
2,
3,
3,
4,
4,
4,
1,
3,
3,
3,
2,
4,
2,
4,
2,
2,
2,
2,
2,
3,
4,
1,
3,
3,
5,
4,
3,
3,
4,
2,
2,
4,
3,
6,
4,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
2,
3,
2,
3,
4,
2,
2,
6,
3,
2,
3,
2,
3,
3,
3,
4,
2,
1,
3,
4,
3,
4,
5,
4,
5,
2,
4,
2,
4,
4,
2,
3,
4,
1,
2,
4,
3,
4,
4,
2,
4,
2,
3,
4,
3,
3,
4,
2,
6,
4,
2,
2,
4,
2,
2,
4,
4,
3,
4,
2,
2,
4,
3,
6,
3,
4,
3,
2,
2,
2,
3,
2,
4,
2,
5,
3,
8,
4,
4,
3,
4,
4,
4,
4,
4,
3,
4,
2,
3,
4,
4,
4,
7,
2,
4,
2,
2,
5,
4,
7,
3,
4,
4,
4,
3,
2,
4,
4,
2,
6,
4,
5,
4,
4,
2,
2,
2,
2,
2,
4,
4,
3,
4,
4,
2,
3,
2,
5,
6,
2,
2,
3,
2,
3,
3,
2,
6,
5,
4,
4,
5,
4,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
3,
3,
2,
3,
2,
3,
3,
2,
2,
3,
4,
2,
2,
4,
3,
2,
4,
4,
2,
3,
4,
3,
3,
3,
2,
3,
2,
2,
6,
3,
5,
2,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
2,
2,
6,
2,
2,
2,
2,
2,
2,
6,
3,
2,
4,
2,
3,
3,
3,
2,
2,
4,
2,
2,
3,
3,
4,
4,
3,
4,
5,
5,
5,
5,
5,
2,
3,
8,
2,
3,
3,
2,
4,
2,
3,
3,
4,
4,
2,
4,
3,
3,
2,
4,
4,
3,
2,
3,
2,
3,
3,
4,
1,
3,
3,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
4,
2,
2,
3,
2,
4,
4,
4,
5,
2,
4,
4,
5,
2,
4,
3,
3,
2,
4,
2,
5,
5,
2,
6,
2,
4,
4,
2,
7,
5,
4,
3,
2,
2,
2,
3,
4,
4,
2,
2,
4,
3,
5,
3,
3,
5,
2,
5,
3,
3,
3,
2,
6,
6,
2,
2,
2,
5,
5,
4,
2,
3,
2,
2,
2,
4,
2,
2,
2,
4,
3,
2,
4,
3,
4,
4,
4,
6,
3,
2,
3,
3,
3,
3,
3,
4,
4,
4,
2,
5,
2,
3,
3,
4,
2,
2,
4,
2,
3,
3,
1,
4,
4,
2,
4,
5,
5,
4,
5,
2,
4,
2,
2,
4,
3,
2,
2,
2,
2,
3,
3,
3,
2,
5,
3,
5,
4,
3,
2,
2,
1,
3,
2,
3,
3,
4,
4,
4,
4,
4,
2,
2,
4,
2,
6,
3,
2,
2,
2,
8,
3,
2,
1,
2,
2,
6,
3,
3,
3,
3,
3,
4,
3,
2,
2,
5,
5,
4,
4,
2,
1,
2,
1,
2,
2,
3,
2,
1,
5,
3,
7,
5,
5,
2,
1,
2,
2,
4,
4,
5,
5,
2,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
3,
3,
4,
2,
3,
4,
4,
4,
4,
4,
2,
2,
4,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
4,
2,
3,
5,
3,
4,
4,
4,
2,
4,
3,
2,
2,
2,
2,
2,
4,
3,
2,
3,
5,
4,
3,
4,
2,
4,
2,
2,
2,
4,
3,
4,
4,
2,
3,
5,
3,
3,
3,
4,
3,
4,
3,
2,
3,
4,
3,
4,
2,
2,
4,
2,
2,
2,
3,
2,
3,
3,
2,
2,
3,
2,
3,
5,
6,
5,
4,
2,
2,
2,
4,
5,
3,
2,
2,
2,
5,
3,
3,
3,
3,
3,
3,
3,
3,
5,
4,
5,
4,
2,
1,
3,
5,
4,
3,
4,
4,
3,
4,
2,
2,
4,
4,
3,
2,
2,
2,
2,
1,
1,
5,
4,
4,
2,
4,
4,
3,
2,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
6,
4,
4,
4,
3,
4,
2,
2,
3,
2,
3,
5,
2,
4,
7,
5,
4,
3,
3,
4,
3,
3,
2,
5,
3,
4,
5,
2,
2,
4,
3,
2,
2,
2,
3,
4,
3,
3,
5,
4,
7,
3,
2,
3,
3,
3,
4,
3,
2,
3,
3,
2,
2,
4,
4,
3,
3,
2,
2,
3,
4,
4,
4,
3,
5,
2,
3,
3,
3,
2,
2,
5,
4,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
1,
2,
5,
3,
4,
2,
3,
3,
2,
5,
3,
3,
3,
3,
2,
3,
2,
3,
3,
2,
4,
7,
3,
4,
4,
2,
4,
4,
4,
3,
2,
2,
4,
4,
4,
4,
4,
5,
4,
5,
3,
3,
3,
3,
3,
3,
2,
2,
3,
3,
3,
5,
3,
4,
4,
3,
4,
3,
2,
3,
3,
3,
3,
3,
3,
4,
6,
4,
4,
3,
4,
2,
3,
2,
4,
5,
4,
2,
5,
2,
3,
2,
4,
2,
3,
3,
3,
3,
3,
3,
2,
2,
4,
7,
4,
4,
3,
4,
1,
3,
3,
4,
3,
4,
2,
4,
3,
3,
2,
2,
4,
1,
2,
2,
1,
3,
3,
2,
3,
2,
3,
3,
4,
3,
3,
3,
3,
4,
3,
3,
4,
4,
2,
2,
3,
3,
4,
4,
2,
2,
2,
3,
2,
2,
4,
4,
4,
2,
2,
2,
4,
2,
4,
4,
4,
4,
3,
4,
3,
4,
4,
4,
2,
4,
2,
6,
4,
5,
7,
4,
2,
4,
4,
5,
7,
3,
4,
3,
2,
5,
4,
4,
5,
2,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
6,
3,
2,
2,
2,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
6,
5,
5,
4,
4,
4,
4,
5,
3,
2,
2,
4,
2,
2,
2,
3,
3,
3,
4,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
1,
3,
3,
3,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
4,
1,
3,
3,
4,
4,
4,
4,
4,
2,
3,
4,
2,
3,
3,
3,
3,
3,
7,
4,
2,
2,
3,
3,
4,
4,
2,
3,
3,
4,
3,
4,
3,
2,
6,
4,
4,
2,
3,
2,
2,
4,
3,
2,
2,
3,
4,
4,
4,
2,
2,
2,
4,
2,
4,
4,
2,
2,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
4,
3,
2,
2,
3,
2,
2,
2,
3,
4,
2,
3,
3,
4,
4,
4,
2,
4,
2,
4,
4,
2,
4,
2,
4,
2,
4,
4,
2,
2,
2,
3,
3,
3,
4,
5,
5,
5,
5,
3,
3,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
1,
4,
3,
3,
3,
3,
2,
4,
2,
1,
4,
2,
2,
2,
3,
3,
3,
2,
2,
2,
2,
4,
4,
3,
3,
3,
1,
2,
3,
4,
4,
4,
4,
4,
3,
3,
2,
3,
2,
2,
2,
3,
3,
4,
2,
5,
2,
3,
2,
3,
3,
4,
3,
6,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
6,
4,
2,
4,
4,
4,
6,
4,
3,
3,
3,
3,
2,
3,
2,
2,
3,
2,
2,
3,
3,
3,
3,
2,
1,
2,
2,
2,
4,
2,
3,
4,
3,
5,
3,
4,
2,
2,
2,
2,
4,
1,
2,
3,
4,
2,
2,
3,
3,
3,
2,
3,
2,
2,
3,
4,
2,
2,
2,
2,
3,
4,
4,
4,
4,
5,
5,
6,
3,
5,
3,
2,
6,
2,
3,
4,
4,
3,
2,
2,
2,
4,
1,
2,
3,
2,
2,
2,
2,
2,
2,
3,
5,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
5,
4,
3,
4,
4,
4,
2,
4,
2,
3,
3,
3,
1,
2,
2,
2,
3,
7,
3,
3,
2,
2,
4,
4,
4,
2,
4,
2,
4,
4,
5,
4,
2,
4,
5,
3,
4,
3,
3,
3,
3,
3,
3,
4,
3,
2,
2,
2,
4,
3,
5,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
6,
4,
8,
4,
4,
4,
4,
3,
4,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
3,
2,
4,
3,
4,
3,
3,
2,
2,
3,
2,
3,
2,
1,
2,
3,
2,
6,
3,
6,
2,
3,
2,
4,
3,
3,
3,
2,
4,
2,
2,
4,
4,
2,
2,
4,
2,
2,
3,
3,
2,
2,
2,
3,
2,
2,
5,
4,
4,
4,
4,
4,
2,
3,
4,
2,
4,
4,
3,
3,
4,
4,
4,
4,
4,
5,
2,
2,
4,
3,
2,
2,
5,
2,
2,
4,
3,
4,
4,
2,
2,
4,
3,
4,
4,
2,
4,
4,
4,
4,
2,
2,
1,
3,
3,
5,
2,
4,
4,
3,
5,
4,
4,
2,
6,
2,
2,
6,
3,
2,
4,
4,
4,
4,
4,
4,
3,
2,
4,
6,
4,
3,
4,
3,
4,
2,
2,
2,
4,
3,
3,
3,
2,
4,
3,
3,
3,
2,
4,
3,
4,
2,
3,
3,
3,
4,
4,
3,
3,
3,
2,
2,
4,
2,
10,
6,
9,
5,
8,
2,
2,
2,
2,
2,
4,
4,
5,
4,
4,
4,
2,
2,
3,
6,
4,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
4,
2,
2,
3,
3,
5,
4,
3,
6,
3,
3,
3,
4,
3,
3,
3,
2,
3,
3,
4,
3,
3,
4,
5,
3,
3,
4,
3,
3,
3,
1,
20,
21,
2,
3,
2,
3,
3,
3,
3,
6,
2,
3,
4,
2,
3,
6,
3,
3,
6,
3,
3,
3,
3,
2,
2,
2,
2,
4,
4,
3,
2,
4,
2,
1,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
5,
4,
2,
2,
4,
3,
1,
4,
4,
3,
7,
4,
3,
3,
7,
3,
7,
3,
5,
6,
3,
3,
3,
5,
3,
3,
4,
3,
3,
3,
3,
4,
4,
7,
2,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
2,
2,
4,
4,
3,
4,
4,
4,
2,
2,
2,
3,
4,
4,
8,
3,
2,
4,
4,
2,
2,
6,
6,
6,
4,
4,
2,
4,
3,
3,
2,
2,
4,
4,
2,
2,
3,
4,
4,
3,
4,
6,
4,
4,
4,
2,
4,
2,
3,
4,
4,
4,
2,
4,
3,
4,
2,
3,
4,
4,
4,
7,
4,
4,
2,
2,
2,
3,
4,
3,
2,
2,
3,
3,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
3,
5,
5,
5,
2,
3,
3,
3,
3,
3,
4,
2,
4,
2,
3,
2,
3,
3,
2,
2,
3,
3,
3,
6,
3,
2,
3,
6,
3,
7,
8,
3,
3,
3,
3,
2,
2,
2,
2,
3,
4,
3,
2,
3,
2,
2,
4,
2,
2,
1,
3,
2,
2,
6,
3,
2,
3,
3,
3,
5,
4,
3,
2,
2,
3,
5,
4,
2,
2,
5,
4,
4,
4,
3,
3,
6,
4,
4,
6,
4,
4,
6,
4,
6,
4,
5,
6,
2,
7,
3,
6,
4,
4,
4,
3,
4,
4,
4,
5,
4,
4,
2,
2,
4,
4,
4,
4,
2,
4,
2,
2,
4,
3,
4,
4,
6,
4,
4,
4,
4,
4,
5,
5,
4,
4,
2,
4,
4,
3,
3,
3,
4,
3,
3,
2,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
3,
4,
3,
3,
4,
4,
8,
3,
4,
4,
6,
2,
4,
1,
2,
2,
4,
3,
2,
2,
2,
4,
4,
2,
3,
4,
2,
4,
3,
2,
2,
5,
2,
2,
3,
2,
5,
2,
2,
2,
3,
5,
2,
3,
4,
4,
2,
3,
3,
3,
3,
4,
4,
2,
4,
2,
2,
2,
4,
2,
3,
3,
4,
5,
4,
4,
2,
4,
4,
2,
2,
2,
2,
4,
5,
5,
3,
3,
3,
2,
3,
3,
2,
4,
3,
4,
3,
3,
3,
4,
2,
6,
4,
5,
6,
6,
2,
2,
4,
2,
2,
4,
6,
2,
4,
3,
3,
3,
3,
2,
3,
2,
2,
2,
4,
2,
2,
7,
5,
5,
3,
4,
4,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
5,
4,
5,
3,
5,
2,
2,
2,
2,
2,
3,
3,
2,
4,
2,
2,
1,
8,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
4,
2,
5,
2,
2,
4,
3,
8,
3,
4,
8,
8,
4,
3,
3,
2,
4,
5,
4,
4,
3,
4,
4,
2,
4,
3,
4,
4,
4,
4,
3,
3,
3,
1,
3,
4,
2,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
5,
3,
2,
4,
4,
4,
3,
4,
2,
4,
3,
3,
4,
2,
4,
3,
3,
2,
4,
2,
4,
4,
4,
3,
3,
3,
3,
4,
3,
3,
3,
4,
4,
2,
2,
2,
4,
3,
4,
2,
4,
2,
2,
4,
4,
4,
2,
5,
6,
5,
5,
4,
2,
4,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
3,
2,
4,
2,
4,
4,
4,
4,
4,
5,
2,
5,
6,
5,
5,
3,
2,
3,
3,
6,
3,
2,
3,
3,
3,
3,
4,
4,
3,
4,
3,
5,
2,
2,
3,
3,
6,
2,
2,
5,
5,
5,
4,
3,
12,
5,
7,
4,
3,
2,
4,
4,
2,
4,
2,
2,
2,
4,
4,
5,
3,
3,
3,
4,
5,
3,
4,
3,
3,
2,
2,
4,
3,
3,
5,
2,
3,
2,
2,
2,
4,
4,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
6,
5,
4,
5,
5,
4,
3,
2,
3,
4,
4,
7,
5,
2,
3,
2,
2,
4,
3,
4,
4,
4,
4,
3,
5,
3,
2,
4,
4,
2,
3,
2,
2,
2,
6,
3,
6,
4,
4,
4,
4,
5,
6,
3,
4,
1,
2,
2,
2,
2,
4,
3,
4,
4,
2,
2,
3,
5,
2,
3,
2,
2,
3,
2,
2,
2,
2,
5,
3,
4,
4,
3,
1,
4,
2,
2,
4,
1,
7,
3,
3,
5,
3,
2,
2,
3,
2,
8,
3,
3,
2,
2,
5,
2,
3,
5,
5,
3,
3,
7,
2,
2,
5,
4,
2,
4,
5,
4,
2,
4,
3,
4,
5,
4,
2,
1,
2,
2,
3,
2,
4,
3,
3,
2,
2,
4,
2,
4,
2,
4,
4,
4,
1,
2,
2,
2,
2,
3,
5,
3,
4,
3,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
5,
5,
4,
4,
5,
5,
2,
2,
3,
2,
4,
2,
1,
5,
4,
6,
4,
4,
4,
4,
3,
4,
2,
4,
4,
4,
3,
2,
4,
3,
3,
3,
3,
5,
3,
2,
3,
2,
3,
3,
4,
3,
2,
4,
3,
3,
1,
4,
3,
3,
5,
3,
2,
3,
2,
3,
2,
1,
4,
4,
4,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
2,
4,
4,
3,
2,
5,
3,
1,
3,
2,
2,
3,
3,
4,
4,
3,
2,
2,
3,
2,
3,
2,
2,
2,
2,
3,
3,
4,
4,
4,
2,
6,
3,
6,
5,
3,
4,
3,
3,
3,
6,
2,
2,
3,
6,
4,
2,
4,
4,
6,
5,
4,
2,
3,
3,
3,
3,
2,
2,
3,
4,
2,
4,
3,
4,
4,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
3,
3,
3,
3,
2,
3,
2,
2,
4,
4,
4,
6,
2,
2,
2,
2,
2,
4,
3,
4,
4,
2,
3,
2,
2,
2,
2,
2,
3,
5,
5,
2,
4,
2,
5,
4,
4,
4,
4,
2,
4,
4,
2,
2,
4,
4,
4,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
3,
2,
2,
2,
3,
4,
4,
4,
3,
3,
1,
2,
4,
2,
4,
3,
3,
3,
4,
2,
4,
3,
4,
7,
3,
2,
3,
6,
2,
4,
3,
2,
4,
3,
3,
3,
3,
3,
1,
1,
2,
3,
7,
3,
8,
6,
3,
4,
3,
6,
3,
5,
6,
5,
3,
4,
4,
4,
3,
2,
2,
2,
4,
2,
4,
1,
1,
1,
2,
3,
2,
2,
3,
2,
2,
4,
2,
4,
3,
3,
4,
4,
4,
5,
4,
4,
3,
3,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
3,
3,
4,
2,
2,
4,
3,
2,
4,
4,
6,
4,
3,
3,
3,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
3,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
7,
2,
2,
4,
2,
4,
2,
2,
2,
4,
2,
2,
5,
5,
4,
4,
3,
4,
5,
4,
3,
3,
4,
5,
6,
3,
5,
6,
2,
2,
2,
1,
4,
4,
3,
4,
3,
3,
3,
5,
5,
4,
3,
2,
3,
2,
3,
3,
3,
2,
4,
3,
4,
2,
2,
2,
2,
2,
5,
4,
4,
3,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
5,
2,
4,
2,
2,
2,
2,
3,
1,
2,
4,
4,
4,
4,
4,
3,
2,
2,
3,
3,
2,
2,
2,
2,
4,
2,
2,
3,
3,
4,
2,
4,
4,
3,
4,
3,
7,
2,
2,
2,
3,
3,
2,
2,
2,
4,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
5,
4,
2,
2,
2,
3,
4,
3,
2,
2,
4,
3,
5,
3,
2,
6,
2,
4,
4,
4,
2,
3,
5,
2,
3,
3,
2,
2,
4,
2,
4,
4,
3,
6,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
6,
4,
4,
4,
4,
4,
3,
3,
4,
2,
2,
2,
2,
3,
2,
2,
4,
3,
3,
3,
2,
2,
3,
3,
4,
4,
4,
3,
2,
3,
3,
3,
2,
3,
3,
4,
5,
5,
5,
4,
5,
2,
4,
4,
4,
4,
2,
3,
4,
6,
3,
5,
6,
4,
3,
3,
2,
4,
4,
3,
3,
2,
3,
3,
2,
3,
2,
2,
4,
4,
4,
4,
3,
2,
3,
3,
2,
2,
2,
4,
2,
2,
3,
4,
2,
3,
3,
2,
2,
4,
3,
3,
3,
3,
3,
2,
2,
4,
2,
3,
3,
2,
3,
4,
2,
3,
2,
3,
4,
5,
4,
2,
4,
2,
2,
4,
4,
3,
4,
2,
5,
2,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
5,
2,
2,
3,
3,
1,
2,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
7,
4,
3,
3,
3,
3,
3,
3,
7,
2,
3,
2,
2,
2,
2,
4,
2,
2,
2,
2,
6,
4,
4,
4,
5,
4,
2,
4,
2,
4,
4,
4,
4,
5,
3,
4,
4,
2,
3,
2,
3,
2,
3,
3,
4,
3,
5,
3,
4,
2,
2,
2,
4,
2,
3,
5,
2,
3,
3,
3,
2,
4,
3,
1,
4,
4,
3,
2,
4,
4,
4,
5,
2,
2,
3,
2,
2,
3,
3,
4,
4,
3,
2,
3,
3,
4,
2,
2,
3,
4,
4,
3,
2,
3,
4,
4,
3,
4,
3,
3,
3,
4,
3,
3,
3,
3,
2,
2,
2,
2,
4,
5,
3,
2,
2,
3,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
4,
3,
3,
5,
4,
3,
5,
2,
4,
3,
7,
4,
2,
4,
4,
4,
3,
2,
3,
3,
3,
4,
2,
1,
6,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
2,
2,
2,
4,
4,
2,
4,
2,
3,
4,
3,
4,
2,
5,
6,
2,
4,
4,
4,
5,
4,
3,
3,
5,
4,
3,
2,
3,
3,
1,
2,
4,
3,
4,
3,
2,
2,
1,
3,
2,
7,
3,
3,
5,
3,
2,
5,
3,
4,
3,
4,
5,
2,
5,
5,
2,
2,
2,
3,
4,
4,
3,
3,
5,
6,
3,
3,
2,
3,
2,
2,
3,
2,
4,
4,
2,
2,
2,
2,
3,
2,
5,
2,
1,
3,
3,
3,
2,
2,
2,
3,
4,
4,
4,
6,
2,
2,
4,
2,
3,
4,
7,
4,
6,
3,
3,
2,
2,
3,
3,
3,
2,
2,
4,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
3,
3,
2,
2,
3,
4,
8,
2,
2,
2,
3,
4,
4,
3,
7,
6,
2,
3,
2,
4,
2,
4,
7,
4,
4,
4,
4,
7,
4,
5,
4,
2,
4,
4,
4,
3,
2,
2,
2,
4,
4,
2,
3,
4,
4,
2,
4,
2,
7,
4,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
5,
4,
2,
2,
5,
3,
4,
4,
4,
3,
3,
3,
3,
3,
4,
2,
2,
4,
4,
2,
3,
3,
4,
3,
5,
3,
3,
3,
6,
1,
4,
4,
2,
3,
4,
4,
4,
4,
2,
2,
3,
1,
2,
4,
4,
5,
4,
8,
4,
4,
3,
2,
2,
2,
5,
2,
4,
0,
2,
3,
3,
4,
3,
2,
2,
2,
2,
4,
5,
3,
3,
3,
2,
2,
2,
3,
4,
4,
2,
4,
6,
4,
4,
3,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
3,
3,
4,
3,
3,
3,
2,
2,
2,
2,
3,
3,
4,
2,
2,
3,
5,
4,
2,
2,
2,
3,
4,
3,
2,
3,
7,
6,
7,
2,
3,
3,
3,
4,
2,
4,
3,
2,
3,
4,
4,
2,
2,
2,
3,
5,
2,
2,
2,
2,
5,
4,
4,
4,
2,
4,
2,
2,
2,
4,
4,
4,
6,
2,
1,
3,
3,
2,
5,
5,
2,
3,
4,
3,
3,
3,
3,
3,
2,
2,
3,
2,
2,
4,
4,
2,
4,
4,
5,
5,
2,
3,
3,
3,
4,
4,
4,
4,
5,
5,
5,
4,
3,
2,
4,
4,
7,
5,
6,
2,
2,
2,
3,
2,
4,
2,
2,
2,
2,
3,
3,
1,
3,
3,
4,
4,
4,
3,
3,
3,
3,
4,
5,
5,
4,
4,
2,
4,
4,
2,
2,
6,
3,
3,
3,
3,
3,
4,
3,
2,
6,
4,
4,
2,
3,
3,
3,
3,
3,
4,
3,
4,
2,
2,
6,
6,
6,
6,
4,
5,
6,
4,
3,
3,
5,
4,
4,
2,
2,
2,
4,
2,
3,
4,
3,
5,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
3,
2,
4,
3,
2,
2,
3,
2,
2,
3,
2,
2,
4,
3,
2,
4,
3,
3,
2,
2,
3,
1,
2,
6,
3,
2,
2,
2,
2,
4,
7,
2,
5,
3,
5,
2,
3,
2,
3,
2,
4,
4,
6,
2,
4,
4,
3,
4,
3,
2,
4,
4,
4,
2,
4,
2,
2,
5,
4,
3,
2,
4,
3,
4,
2,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
3,
1,
2,
2,
3,
2,
2,
4,
7,
4,
2,
6,
3,
4,
3,
2,
4,
2,
3,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
5,
2,
2,
3,
3,
2,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
5,
6,
3,
3,
3,
3,
4,
4,
5,
4,
2,
3,
3,
4,
4,
5,
5,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
2,
4,
2,
3,
4,
8,
4,
4,
3,
2,
3,
1,
1,
1,
3,
2,
4,
2,
2,
3,
2,
4,
1,
2,
1,
1,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
5,
2,
5,
4,
2,
2,
4,
4,
4,
2,
2,
4,
3,
4,
4,
4,
2,
2,
2,
3,
2,
10,
3,
4,
2,
5,
5,
2,
2,
3,
3,
4,
2,
5,
3,
1,
2,
3,
2,
4,
4,
5,
3,
2,
4,
4,
4,
3,
2,
5,
6,
4,
4,
4,
4,
2,
2,
7,
4,
4,
2,
5,
3,
3,
2,
5,
3,
4,
4,
4,
4,
2,
3,
4,
4,
2,
4,
4,
3,
3,
3,
3,
4,
4,
3,
2,
3,
3,
2,
3,
4,
4,
3,
4,
4,
3,
2,
2,
4,
4,
3,
3,
5,
4,
4,
2,
5,
2,
4,
4,
6,
8,
6,
4,
4,
8,
4,
2,
4,
3,
4,
2,
2,
2,
3,
2,
3,
3,
4,
3,
2,
5,
3,
3,
3,
4,
4,
4,
3,
2,
2,
2,
2,
3,
3,
5,
3,
4,
3,
3,
3,
8,
7,
7,
5,
6,
2,
4,
4,
6,
4,
3,
2,
4,
4,
2,
3,
4,
4,
4,
4,
4,
4,
4,
7,
4,
3,
3,
4,
3,
4,
4,
2,
3,
4,
5,
4,
4,
2,
2,
4,
2,
3,
2,
2,
4,
3,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
2,
5,
4,
4,
3,
3,
4,
3,
4,
3,
7,
3,
2,
2,
3,
3,
3,
3,
4,
3,
5,
5,
4,
4,
4,
4,
2,
5,
3,
1,
2,
2,
2,
2,
2,
2,
4,
3,
4,
4,
5,
4,
4,
4,
3,
4,
3,
2,
4,
3,
3,
3,
2,
3,
2,
2,
2,
3,
4,
4,
2,
2,
2,
5,
3,
7,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
8,
3,
3,
3,
2,
3,
2,
4,
4,
4,
2,
3,
5,
3,
4,
3,
4,
2,
2,
2,
2,
3,
3,
3,
3,
6,
4,
2,
2,
6,
4,
4,
1,
3,
3,
3,
4,
2,
4,
4,
4,
5,
3,
5,
6,
5,
7,
2,
3,
3,
3,
1,
3,
2,
3,
3,
1,
5,
2,
3,
3,
4,
3,
2,
2,
1,
2,
2,
2,
2,
3,
2,
2,
1,
2,
3,
3,
2,
5,
2,
3,
4,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5,
2,
4,
4,
2,
5,
4,
3,
2,
4,
3,
2,
2,
3,
3,
2,
2,
3,
4,
3,
4,
3,
3,
4,
5,
2,
6,
4,
3,
3,
4,
2,
2,
3,
3,
4,
3,
6,
6,
2,
2,
2,
3,
4,
4,
3,
4,
3,
4,
3,
3,
5,
4,
1,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
3,
3,
3,
3,
2,
4,
2,
5,
3,
2,
4,
2,
3,
2,
3,
4,
4,
4,
4,
4,
2,
3,
3,
4,
3,
3,
7,
2,
3,
5,
2,
1,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
5,
2,
2,
5,
4,
4,
5,
3,
2,
2,
3,
2,
4,
5,
4,
5,
4,
7,
7,
3,
2,
3,
4,
3,
3,
5,
5,
2,
4,
2,
3,
5,
2,
3,
3,
5,
5,
3,
3,
4,
3,
3,
5,
3,
3,
4,
3,
3,
4,
2,
4,
2,
3,
5,
2,
4,
4,
2,
4,
4,
2,
4,
3,
2,
2,
7,
3,
3,
3,
2,
5,
3,
5,
5,
4,
2,
6,
4,
2,
3,
2,
3,
3,
2,
3,
2,
4,
4,
4,
2,
4,
4,
3,
5,
3,
3,
2,
3,
4,
3,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
3,
3,
2,
3,
3,
4,
3,
4,
3,
2,
4,
4,
4,
2,
1,
5,
4,
2,
2,
4,
4,
3,
3,
3,
4,
2,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
4,
3,
4,
4,
3,
2,
2,
7,
5,
4,
3,
4,
4,
4,
4,
4,
2,
4,
2,
2,
3,
4,
2,
3,
3,
2,
4,
2,
2,
4,
3,
4,
4,
4,
3,
3,
4,
1,
4,
4,
3,
4,
4,
3,
5,
3,
3,
3,
4,
2,
4,
4,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
7,
3,
6,
4,
4,
2,
4,
6,
3,
9,
2,
2,
2,
5,
3,
4,
4,
2,
4,
4,
3,
3,
2,
1,
2,
2,
2,
1,
4,
4,
4,
2,
3,
4,
4,
4,
4,
2,
2,
4,
4,
3,
3,
3,
4,
2,
3,
2,
4,
4,
4,
4,
4,
4,
2,
5,
2,
2,
2,
2,
2,
3,
3,
2,
4,
2,
3,
6,
3,
2,
2,
4,
4,
2,
2,
2,
2,
3,
2,
4,
3,
4,
4,
3,
3,
3,
5,
5,
4,
4,
3,
3,
4,
3,
5,
3,
1,
1,
2,
4,
4,
4,
2,
4,
3,
2,
3,
2,
3,
5,
3,
4,
3,
3,
4,
3,
3,
2,
3,
7,
3,
3,
5,
3,
4,
3,
4,
4,
1,
2,
2,
2,
2,
2,
3,
3,
3,
2,
7,
4,
2,
2,
3,
3,
4,
3,
4,
2,
2,
2,
2,
2,
2,
2,
5,
3,
4,
2,
2,
4,
2,
2,
3,
2,
3,
1,
5,
2,
8,
4,
5,
2,
4,
3,
6,
4,
3,
3,
4,
4,
2,
4,
3,
2,
3,
4,
4,
4,
6,
5,
4,
4,
4,
3,
6,
4,
2,
2,
4,
3,
3,
5,
5,
5,
8,
7,
2,
4,
4,
2,
5,
3,
2,
3,
2,
3,
4,
4,
3,
3,
3,
2,
3,
3,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
5,
3,
3,
5,
5,
5,
6,
4,
4,
4,
5,
4,
5,
3,
2,
3,
3,
4,
4,
3,
5,
3,
3,
3,
2,
1,
4,
4,
3,
7,
3,
4,
3,
4,
5,
2,
2,
2,
2,
2,
2,
4,
2,
3,
4,
8,
5,
3,
2,
4,
2,
4,
2,
2,
2,
2,
3,
3,
2,
4,
3,
5,
3,
4,
4,
3,
2,
2,
4,
3,
3,
5,
3,
4,
4,
4,
2,
2,
2,
3,
2,
2,
3,
2,
2,
6,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
6,
4,
5,
4,
4,
4,
4,
3,
4,
4,
4,
3,
2,
2,
2,
2,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
7,
4,
3,
7,
5,
3,
2,
3,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
5,
4,
4,
4,
1,
2,
3,
6,
4,
4,
4,
4,
5,
4,
3,
3,
4,
2,
2,
2,
2,
4,
3,
3,
3,
5,
5,
4,
2,
2,
4,
2,
3,
4,
5,
3,
2,
5,
4,
3,
3,
2,
2,
3,
2,
2,
4,
1,
4,
4,
4,
4,
3,
2,
2,
3,
4,
2,
4,
2,
4,
2,
2,
4,
2,
2,
5,
4,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
2,
6,
4,
2,
3,
3,
3,
3,
4,
3,
3,
2,
3,
7,
4,
4,
3,
6,
2,
3,
3,
5,
4,
2,
3,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
2,
2,
2,
1,
2,
4,
4,
4,
3,
4,
2,
2,
2,
3,
2,
4,
4,
4,
4,
3,
3,
4,
4,
4,
2,
5,
6,
3,
2,
4,
4,
2,
2,
4,
4,
3,
4,
2,
4,
3,
5,
4,
7,
4,
5,
4,
3,
3,
6,
5,
4,
5,
7,
4,
3,
2,
3,
2,
2,
3,
2,
3,
3,
3,
2,
2,
3,
2,
3,
3,
4,
4,
1,
2,
3,
3,
5,
4,
2,
3,
2,
4,
2,
3,
3,
3,
3,
6,
6,
4,
4,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
2,
2,
3,
6,
2,
5,
5,
4,
4,
4,
2,
4,
2,
2,
3,
2,
2,
5,
3,
4,
4,
4,
6,
4,
3,
3,
4,
4,
2,
2,
3,
3,
3,
2,
3,
3,
4,
5,
2,
3,
3,
2,
2,
2,
3,
4,
6,
5,
2,
2,
2,
3,
4,
4,
8,
3,
2,
2,
4,
4,
4,
4,
3,
2,
3,
2,
4,
2,
4,
4,
4,
2,
3,
2,
4,
3,
2,
3,
3,
3,
2,
3,
2,
2,
5,
4,
3,
3,
3,
3,
3,
6,
5,
2,
2,
3,
2,
4,
3,
3,
3,
4,
4,
4,
3,
5,
5,
3,
3,
3,
3,
4,
2,
2,
2,
2,
1,
6,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
3,
2,
3,
2,
2,
2,
4,
4,
5,
4,
4,
4,
2,
2,
5,
4,
3,
2,
2,
2,
5,
6,
6,
3,
2,
4,
4,
2,
4,
2,
4,
4,
5,
2,
2,
2,
2,
2,
4,
4,
4,
4,
3,
3,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
4,
5,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
2,
2,
4,
3,
3,
3,
4,
4,
4,
5,
4,
3,
4,
4,
4,
2,
5,
2,
6,
1,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
4,
3,
4,
3,
5,
3,
6,
4,
4,
2,
3,
3,
2,
3,
2,
2,
3,
3,
2,
3,
2,
2,
5,
4,
2,
2,
7,
4,
4,
4,
5,
3,
4,
4,
4,
4,
6,
2,
7,
5,
2,
2,
3,
4,
3,
5,
4,
2,
3,
5,
2,
1,
2,
3,
4,
2,
2,
3,
5,
2,
3,
3,
3,
3,
2,
2,
1,
2,
3,
3,
4,
4,
2,
2,
6,
5,
3,
2,
2,
2,
2,
5,
3,
3,
2,
3,
3,
5,
4,
4,
2,
2,
2,
4,
4,
3,
2,
4,
5,
5,
6,
7,
3,
3,
4,
2,
4,
2,
2,
2,
2,
4,
4,
2,
4,
5,
2,
2,
2,
2,
3,
2,
4,
1,
3,
3,
2,
4,
4,
2,
4,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
7,
4,
4,
2,
4,
3,
3,
4,
4,
4,
6,
2,
4,
3,
2,
4,
4,
4,
6,
5,
6,
4,
4,
4,
4,
7,
2,
2,
2,
2,
4,
4,
2,
2,
2,
4,
3,
5,
2,
2,
2,
3,
2,
5,
3,
3,
3,
2,
3,
1,
4,
2,
2,
4,
2,
2,
3,
2,
2,
1,
2,
2,
6,
6,
3,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
5,
6,
4,
5,
4,
3,
3,
3,
3,
3,
3,
5,
5,
5,
2,
2,
2,
2,
2,
2,
3,
2,
2,
5,
3,
3,
3,
3,
3,
4,
6,
6,
2,
4,
4,
3,
5,
4,
4,
3,
3,
2,
4,
5,
4,
5,
3,
2,
3,
2,
4,
3,
3,
2,
3,
4,
4,
3,
4,
3,
3,
2,
4,
3,
1,
1,
5,
5,
2,
3,
2,
2,
2,
2,
2,
2,
4,
5,
3,
2,
3,
3,
2,
3,
3,
2,
4,
3,
4,
3,
2,
2,
2,
2,
3,
4,
4,
4,
4,
3,
4,
3,
3,
2,
3,
3,
3,
3,
3,
2,
6,
5,
6,
7,
5,
2,
4,
4,
2,
4,
4,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
5,
3,
2,
3,
3,
2,
4,
1,
3,
4,
4,
4,
2,
6,
3,
5,
5,
2,
1,
4,
3,
2,
2,
2,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
1,
3,
5,
4,
4,
2,
2,
2,
3,
3,
2,
2,
2,
2,
3,
3,
2,
3,
3,
3,
3,
4,
5,
2,
2,
3,
3,
2,
3,
3,
4,
2,
2,
2,
3,
2,
4,
2,
2,
5,
2,
2,
6,
2,
2,
2,
4,
4,
2,
4,
2,
2,
4,
2,
4,
2,
2,
2,
4,
4,
4,
3,
1,
3,
3,
4,
2,
4,
2,
2,
4,
2,
2,
4,
2,
1,
2,
3,
3,
3,
1,
3,
2,
3,
3,
3,
3,
6,
5,
5,
4,
3,
8,
4,
6,
3,
3,
5,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
4,
3,
4,
4,
4,
5,
6,
5,
3,
3,
2,
2,
4,
5,
4,
4,
4,
2,
3,
4,
3,
4,
5,
2,
4,
2,
2,
3,
3,
2,
4,
1,
2,
4,
3,
5,
4,
3,
3,
8,
3,
2,
2,
6,
4,
4,
6,
4,
3,
3,
2,
4,
2,
4,
4,
4,
8,
2,
4,
1,
4,
2,
4,
2,
2,
4,
4,
3,
2,
2,
2,
2,
5,
2,
2,
3,
3,
2,
2,
4,
3,
4,
4,
2,
5,
3,
2,
3,
3,
2,
2,
3,
2,
2,
2,
3,
3,
2,
4,
2,
5,
2,
4,
5,
5,
5,
5,
3,
3,
4,
2,
2,
3,
3,
2,
2,
3,
3,
4,
3,
2,
4,
4,
4,
2,
2,
3,
2,
8,
4,
2,
2,
3,
3,
3,
2,
2,
2,
5,
3,
3,
3,
2,
2,
4,
3,
3,
1,
1,
3,
3,
3,
4,
4,
4,
4,
3,
3,
3,
2,
3,
4,
5,
4,
4,
5,
4,
2,
2,
3,
3,
2,
3,
3,
3,
4,
3,
4,
4,
4,
5,
3,
2,
3,
3,
2,
2,
4,
4,
2,
2,
2,
3,
4,
3,
2,
4,
3,
4,
4,
3,
2,
4,
6,
3,
2,
4,
3,
4,
4,
2,
2,
2,
2,
2,
3,
2,
5,
4,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
3,
2,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
4,
3,
4,
4,
2,
2,
2,
2,
6,
5,
2,
5,
5,
3,
4,
3,
3,
2,
4,
3,
3,
5,
3,
3,
2,
3,
3,
2,
3,
4,
4,
3,
4,
2,
3,
2,
1,
2,
3,
2,
2,
2,
2,
4,
3,
3,
3,
3,
3,
3,
5,
3,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
2,
5,
3,
2,
2,
4,
1,
2,
4,
4,
5,
3,
3,
3,
2,
6,
6,
2,
4,
5,
5,
4,
4,
4,
4,
4,
2,
3,
2,
3,
3,
3,
3,
4,
1,
4,
4,
4,
3,
2,
4,
4,
4,
2,
2,
3,
3,
2,
2,
5,
2,
4,
4,
4,
2,
4,
3,
2,
4,
3,
2,
5,
4,
3,
3,
3,
3,
3,
5,
4,
3,
3,
5,
5,
5,
6,
4,
7,
4,
2,
2,
3,
2,
3,
2,
2,
1,
2,
3,
1,
2,
3,
4,
3,
4,
3,
4,
1,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
4,
3,
4,
4,
2,
2,
4,
3,
2,
6,
4,
4,
4,
3,
3,
3,
4,
4,
2,
4,
4,
2,
4,
4,
4,
4,
3,
4,
2,
5,
1,
2,
3,
4,
4,
4,
2,
2,
2,
3,
4,
3,
2,
2,
2,
6,
3,
4,
4,
4,
4,
2,
4,
2,
3,
3,
3,
4,
2,
3,
3,
2,
4,
5,
7,
2,
3,
2,
2,
4,
4,
6,
2,
6,
3,
2,
2,
3,
4,
3,
3,
4,
3,
6,
5,
8,
5,
4,
4,
4,
3,
3,
3,
3,
5,
4,
2,
2,
2,
2,
2,
3,
4,
5,
4,
4,
2,
2,
4,
2,
2,
4,
5,
5,
2,
3,
3,
2,
2,
2,
2,
4,
3,
3,
3,
2,
3,
3,
4,
4,
4,
4,
2,
4,
3,
3,
2,
3,
2,
2,
3,
4,
4,
2,
2,
3,
3,
3,
2,
2,
4,
5,
4,
5,
2,
4,
2,
2,
8,
4,
3,
4,
2,
4,
2,
1,
2,
3,
4,
4,
4,
4,
4,
2,
2,
4,
2,
3,
4,
4,
4,
2,
2,
2,
4,
3,
3,
5,
3,
3,
2,
8,
2,
5,
4,
2,
4,
4,
2,
2,
4,
3,
2,
5,
3,
3,
2,
3,
2,
2,
4,
5,
3,
4,
3,
4,
2,
3,
3,
3,
2,
3,
3,
2,
1,
2,
2,
2,
4,
2,
4,
4,
2,
4,
2,
4,
4,
7,
2,
2,
2,
2,
2,
3,
1,
2,
1,
1,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
3,
4,
3,
4,
3,
3,
3,
3,
3,
6,
4,
4,
4,
3,
5,
3,
4,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
3,
3,
4,
3,
4,
4,
4,
4,
2,
2,
2,
4,
3,
2,
5,
4,
4,
2,
2,
2,
2,
2,
3,
2,
4,
2,
4,
3,
3,
6,
6,
5,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
6,
2,
2,
2,
5,
2,
2,
7,
3,
2,
1,
3,
6,
2,
4,
2,
2,
2,
3,
1,
2,
3,
4,
4,
3,
4,
4,
3,
1,
2,
2,
3,
3,
4,
2,
1,
2,
3,
3,
2,
3,
3,
3,
3,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
4,
3,
6,
2,
4,
4,
8,
4,
2,
2,
2,
2,
1,
2,
3,
2,
3,
1,
3,
3,
2,
3,
4,
1,
2,
2,
4,
4,
2,
5,
4,
2,
3,
3,
4,
2,
3,
5,
3,
4,
2,
2,
4,
2,
3,
3,
2,
4,
3,
2,
2,
5,
4,
4,
4,
4,
3,
3,
6,
4,
3,
3,
3,
5,
5,
4,
3,
2,
4,
5,
3,
2,
3,
2,
4,
2,
2,
6,
2,
3,
3,
2,
2,
3,
3,
4,
2,
1,
4,
2,
4,
4,
1,
4,
4,
2,
2,
2,
2,
3,
4,
4,
4,
2,
3,
4,
4,
4,
4,
6,
4,
1,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
2,
2,
3,
4,
2,
1,
4,
2,
3,
2,
2,
2,
4,
3,
2,
4,
3,
2,
8,
4,
4,
5,
2,
4,
2,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
1,
2,
5,
2,
2,
3,
4,
4,
4,
4,
3,
5,
5,
4,
3,
5,
4,
4,
3,
3,
3,
4,
3,
3,
3,
6,
4,
2,
2,
4,
4,
4,
4,
2,
2,
3,
3,
4,
3,
4,
3,
2,
4,
4,
4,
3,
4,
4,
2,
5,
4,
4,
4,
3,
3,
3,
7,
4,
8,
3,
4,
4,
4,
2,
2,
2,
4,
6,
2,
1,
4,
4,
2,
4,
3,
2,
3,
3,
2,
4,
4,
4,
2,
3,
3,
4,
2,
4,
4,
3,
2,
3,
7,
2,
3,
3,
3,
2,
2,
3,
2,
2,
3,
4,
2,
3,
2,
2,
3,
3,
3,
3,
2,
2,
4,
4,
2,
7,
3,
4,
4,
3,
3,
3,
5,
6,
3,
2,
2,
3,
5,
1,
3,
2,
3,
2,
2,
2,
2,
2,
2,
5,
5,
4,
5,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
7,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
3,
2,
5,
5,
5,
7,
5,
5,
2,
2,
4,
4,
4,
4,
3,
3,
2,
2,
3,
2,
4,
4,
4,
4,
2,
5,
3,
7,
4,
2,
2,
3,
3,
3,
2,
2,
4,
3,
2,
6,
5,
1,
2,
4,
2,
4,
2,
4,
2,
3,
3,
4,
4,
4,
2,
2,
2,
4,
2,
4,
2,
4,
2,
2,
1,
2,
1,
2,
5,
3,
3,
4,
2,
4,
3,
4,
3,
2,
4,
2,
4,
4,
2,
2,
6,
3,
3,
2,
2,
3,
4,
2,
4,
4,
2,
1,
2,
2,
2,
4,
1,
1,
1,
2,
2,
4,
4,
4,
4,
4,
4,
3,
2,
3,
2,
4,
2,
4,
2,
2,
1,
3,
4,
7,
5,
2,
2,
2,
2,
3,
3,
4,
4,
3,
6,
3,
3,
4,
4,
3,
2,
4,
3,
2,
3,
3,
4,
4,
3,
2,
4,
4,
2,
4,
4,
2,
4,
3,
1,
5,
5,
5,
3,
4,
4,
3,
2,
3,
4,
3,
5,
2,
4,
4,
3,
2,
4,
2,
4,
3,
2,
1,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
3,
2,
4,
3,
3,
4,
3,
2,
4,
2,
4,
3,
7,
5,
4,
4,
4,
4,
4,
5,
2,
3,
3,
2,
2,
2,
2,
1,
4,
3,
3,
3,
2,
6,
2,
2,
4,
4,
4,
4,
2,
3,
4,
2,
2,
2,
3,
3,
4,
4,
4,
5,
3,
3,
3,
6,
6,
2,
2,
2,
3,
4,
3,
3,
2,
3,
3,
3,
3,
4,
4,
5,
4,
4,
2,
2,
2,
2,
7,
3,
4,
2,
3,
4,
4,
4,
4,
4,
2,
4,
3,
2,
3,
5,
2,
2,
2,
2,
1,
3,
3,
2,
2,
2,
2,
2,
5,
1,
2,
4,
4,
4,
2,
4,
2,
2,
3,
2,
2,
4,
4,
3,
3,
3,
5,
5,
4,
4,
4,
2,
4,
4,
4,
6,
4,
8,
2,
4,
2,
4,
4,
3,
3,
3,
4,
4,
4,
2,
2,
3,
4,
4,
2,
2,
4,
3,
5,
2,
2,
4,
2,
3,
7,
4,
2,
3,
4,
4,
2,
1,
4,
5,
4,
6,
4,
4,
4,
2,
2,
2,
4,
4,
2,
4,
4,
4,
3,
3,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
3,
3,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
3,
4,
3,
4,
4,
3,
3,
2,
2,
4,
2,
3,
3,
2,
4,
2,
2,
2,
3,
3,
2,
4,
2,
2,
3,
4,
5,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
2,
3,
4,
3,
4,
3,
6,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
1,
3,
3,
2,
2,
2,
2,
3,
2,
5,
2,
5,
3,
3,
4,
2,
2,
3,
4,
4,
4,
4,
5,
2,
3,
3,
3,
1,
3,
4,
3,
3,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
4,
3,
3,
2,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
4,
4,
2,
3,
3,
5,
6,
2,
3,
4,
4,
3,
3,
3,
4,
3,
3,
2,
4,
3,
2,
2,
2,
2,
3,
7,
2,
5,
4,
4,
4,
4,
4,
4,
3,
4,
2,
5,
2,
2,
4,
4,
2,
4,
3,
5,
3,
4,
3,
2,
4,
2,
2,
2,
3,
4,
3,
2,
4,
4,
2,
4,
2,
2,
3,
2,
2,
3,
3,
2,
3,
7,
8,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
4,
4,
4,
2,
2,
3,
2,
3,
2,
4,
2,
4,
2,
2,
4,
2,
3,
3,
3,
4,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
3,
6,
4,
2,
2,
3,
3,
2,
2,
4,
2,
4,
4,
4,
4,
4,
3,
4,
5,
4,
5,
4,
3,
3,
2,
7,
3,
3,
4,
4,
4,
4,
3,
2,
3,
3,
3,
2,
4,
2,
2,
2,
3,
4,
4,
5,
5,
7,
4,
3,
2,
2,
2,
6,
2,
2,
6,
2,
2,
2,
3,
3,
3,
3,
4,
5,
5,
5,
5,
2,
1,
2,
3,
3,
2,
2,
3,
3,
3,
2,
3,
4,
4,
4,
4,
2,
2,
4,
3,
2,
4,
3,
3,
2,
2,
2,
4,
5,
5,
2,
2,
3,
1,
3,
3,
5,
4,
3,
2,
4,
4,
3,
3,
5,
2,
3,
3,
3,
4,
1,
4,
4,
4,
5,
2,
2,
3,
4,
2,
4,
4,
3,
3,
3,
4,
2,
3,
5,
4,
4,
4,
4,
3,
3,
3,
2,
2,
1,
2,
2,
3,
3,
3,
5,
4,
2,
3,
4,
2,
6,
4,
2,
4,
4,
2,
2,
4,
3,
4,
4,
4,
1,
2,
3,
6,
4,
2,
5,
2,
4,
2,
4,
3,
3,
2,
3,
2,
3,
4,
4,
2,
4,
2,
3,
3,
4,
3,
2,
2,
4,
2,
2,
3,
3,
5,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
7,
3,
3,
2,
3,
3,
4,
4,
6,
4,
2,
5,
2,
2,
6,
3,
3,
3,
2,
5,
4,
4,
2,
4,
2,
4,
4,
3,
3,
5,
4,
3,
2,
5,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
4,
4,
4,
4,
2,
2,
2,
2,
4,
4,
2,
4,
3,
4,
4,
3,
5,
4,
2,
4,
3,
4,
2,
4,
2,
2,
2,
2,
1,
1,
2,
3,
2,
2,
3,
4,
3,
2,
3,
2,
4,
2,
2,
4,
2,
2,
2,
3,
3,
2,
1,
3,
3,
3,
4,
3,
3,
5,
3,
3,
2,
3,
3,
3,
3,
3,
4,
3,
3,
2,
3,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
4,
3,
3,
2,
2,
4,
4,
6,
4,
2,
3,
2,
3,
3,
4,
4,
4,
4,
2,
1,
2,
4,
2,
5,
2,
4,
4,
3,
3,
3,
4,
2,
2,
2,
3,
3,
3,
3,
4,
2,
3,
4,
3,
3,
2,
4,
2,
2,
7,
5,
5,
2,
1,
3,
3,
3,
2,
3,
4,
4,
4,
4,
3,
2,
2,
3,
5,
5,
3,
7,
7,
3,
2,
5,
2,
3,
2,
3,
6,
3,
3,
2,
4,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
2,
2,
3,
3,
2,
3,
5,
2,
2,
3,
3,
2,
6,
3,
2,
2,
2,
5,
7,
3,
2,
3,
3,
3,
3,
4,
5,
2,
4,
2,
5,
2,
4,
2,
5,
2,
3,
4,
2,
4,
3,
3,
3,
3,
2,
4,
2,
2,
3,
4,
4,
3,
4,
4,
4,
3,
1,
3,
2,
4,
4,
4,
2,
2,
3,
6,
5,
5,
2,
3,
4,
5,
5,
5,
2,
2,
2,
7,
4,
5,
3,
3,
2,
4,
3,
1,
2,
2,
3,
2,
2,
2,
5,
2,
5,
4,
4,
5,
4,
3,
2,
4,
4,
4,
5,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
2,
3,
5,
5,
3,
4,
5,
4,
2,
6,
2,
4,
3,
4,
4,
3,
3,
4,
2,
2,
2,
5,
3,
4,
3,
2,
2,
2,
4,
2,
2,
2,
2,
5,
3,
2,
4,
4,
3,
3,
3,
3,
2,
2,
3,
4,
3,
2,
2,
2,
2,
2,
4,
2,
1,
4,
4,
2,
2,
3,
3,
5,
3,
6,
3,
3,
2,
2,
4,
2,
3,
3,
7,
3,
3,
4,
5,
4,
3,
2,
3,
4,
5,
5,
3,
2,
2,
2,
3,
4,
3,
3,
3,
4,
2,
2,
3,
3,
3,
4,
4,
3,
3,
5,
4,
1,
3,
6,
2,
3,
4,
2,
3,
3,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
5,
3,
3,
4,
4,
4,
2,
2,
3,
3,
3,
3,
4,
4,
2,
2,
3,
2,
3,
3,
5,
3,
3,
3,
2,
4,
2,
2,
4,
5,
2,
2,
2,
4,
4,
6,
2,
3,
2,
2,
2,
3,
3,
2,
4,
2,
3,
3,
3,
3,
4,
3,
6,
5,
2,
5,
2,
2,
2,
3,
2,
4,
3,
3,
3,
4,
3,
3,
3,
2,
2,
4,
4,
3,
7,
3,
3,
2,
3,
2,
3,
3,
5,
5,
5,
5,
2,
7,
4,
4,
2,
2,
4,
2,
2,
3,
3,
2,
2,
4,
3,
2,
2,
4,
4,
4,
2,
3,
3,
4,
2,
2,
2,
3,
3,
2,
3,
4,
3,
3,
3,
3,
6,
5,
4,
4,
4,
2,
3,
2,
4,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
2,
2,
4,
2,
4,
6,
3,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
2,
2,
2,
4,
3,
4,
5,
5,
4,
2,
3,
3,
2,
3,
4,
3,
3,
3,
3,
1,
1,
2,
2,
2,
4,
2,
3,
6,
3,
4,
3,
4,
3,
4,
4,
4,
2,
2,
2,
5,
4,
3,
2,
3,
4,
3,
3,
2,
4,
4,
2,
4,
3,
6,
6,
2,
2,
5,
4,
3,
3,
3,
3,
6,
5,
5,
5,
4,
3,
3,
8,
3,
3,
6,
2,
4,
4,
6,
7,
4,
8,
1,
1,
2,
2,
4,
4,
6,
4,
2,
4,
2,
2,
2,
2,
4,
4,
2,
2,
4,
3,
3,
1,
2,
2,
2,
2,
4,
3,
4,
3,
3,
5,
3,
3,
3,
4,
7,
3,
2,
5,
2,
4,
4,
3,
2,
2,
4,
3,
2,
5,
2,
4,
3,
2,
2,
2,
2,
4,
3,
3,
4,
7,
2,
4,
3,
2,
2,
2,
2,
3,
3,
1,
5,
5,
2,
4,
4,
5,
2,
3,
3,
3,
6,
2,
6,
7,
3,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
5,
5,
2,
3,
4,
4,
3,
2,
3,
4,
7,
3,
4,
6,
3,
2,
4,
4,
3,
4,
2,
2,
4,
4,
5,
5,
3,
9,
3,
2,
2,
2,
4,
3,
3,
2,
3,
2,
2,
4,
2,
3,
4,
4,
2,
2,
4,
4,
4,
2,
2,
2,
4,
2,
3,
3,
4,
4,
2,
2,
2,
3,
2,
3,
4,
2,
3,
3,
5,
5,
1,
4,
4,
2,
2,
2,
4,
3,
5,
4,
4,
4,
4,
3,
5,
3,
4,
2,
4,
3,
4,
4,
2,
3,
4,
3,
2,
2,
4,
4,
2,
4,
3,
3,
3,
5,
4,
6,
5,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
7,
2,
2,
4,
2,
2,
3,
2,
4,
5,
2,
4,
5,
2,
3,
2,
2,
2,
2,
3,
2,
2,
3,
5,
5,
3,
5,
3,
2,
3,
3,
5,
4,
3,
4,
4,
2,
7,
2,
3,
2,
3,
2,
3,
3,
3,
3,
2,
4,
4,
3,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
2,
2,
3,
3,
4,
4,
3,
4,
6,
4,
5,
4,
5,
4,
4,
2,
4,
3,
6,
2,
6,
6,
4,
4,
3,
4,
4,
3,
2,
3,
3,
5,
5,
4,
4,
4,
4,
4,
4,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
5,
4,
3,
3,
2,
2,
4,
2,
2,
3,
3,
2,
3,
1,
4,
6,
3,
6,
4,
7,
6,
4,
3,
3,
4,
4,
3,
3,
3,
2,
4,
4,
4,
5,
3,
2,
3,
3,
3,
3,
4,
2,
2,
3,
3,
2,
4,
4,
4,
2,
2,
4,
4,
4,
3,
2,
2,
3,
1,
4,
3,
4,
5,
6,
3,
3,
4,
3,
2,
3,
4,
3,
3,
4,
5,
4,
3,
4,
3,
6,
2,
6,
4,
2,
2,
4,
3,
4,
4,
2,
2,
6,
6,
5,
3,
4,
7,
4,
4,
3,
4,
4,
4,
2,
2,
5,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
5,
2,
2,
4,
3,
3,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
4,
3,
3,
2,
3,
2,
2,
4,
2,
2,
4,
3,
6,
5,
5,
5,
3,
3,
2,
3,
3,
3,
4,
2,
4,
3,
4,
3,
3,
4,
3,
4,
3,
4,
3,
4,
4,
4,
4,
2,
4,
2,
2,
3,
2,
3,
2,
4,
3,
3,
4,
3,
3,
4,
4,
1,
3,
3,
2,
2,
3,
6,
3,
3,
4,
2,
4,
4,
2,
2,
2,
2,
2,
4,
2,
3,
2,
2,
3,
2,
2,
2,
2,
3,
5,
4,
2,
4,
4,
4,
3,
2,
3,
3,
3,
3,
1,
2,
2,
4,
4,
7,
4,
4,
4,
3,
2,
3,
2,
4,
2,
3,
2,
2,
3,
4,
2,
2,
2,
2,
5,
6,
4,
4,
4,
3,
3,
2,
2,
4,
4,
5,
4,
3,
3,
3,
3,
5,
3,
3,
4,
8,
6,
2,
4,
5,
3,
4,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
4,
2,
2,
2,
3,
3,
3,
2,
5,
3,
2,
4,
4,
4,
4,
3,
3,
6,
2,
2,
2,
2,
4,
4,
2,
2,
4,
3,
4,
4,
4,
2,
2,
2,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
5,
5,
3,
4,
3,
2,
2,
2,
2,
3,
5,
4,
4,
4,
2,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
2,
6,
3,
5,
3,
2,
4,
3,
2,
2,
2,
2,
2,
1,
2,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
2,
2,
1,
3,
2,
2,
2,
6,
4,
2,
4,
2,
2,
3,
4,
2,
4,
5,
5,
2,
2,
2,
3,
3,
3,
2,
3,
4,
2,
4,
2,
4,
3,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
3,
4,
3,
1,
3,
4,
6,
4,
5,
5,
5,
5,
5,
2,
2,
4,
2,
3,
4,
4,
4,
4,
2,
4,
3,
2,
5,
2,
4,
4,
4,
4,
5,
4,
5,
2,
4,
4,
3,
4,
1,
3,
8,
3,
6,
4,
4,
6,
1,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
6,
4,
5,
4,
2,
2,
2,
3,
4,
4,
5,
5,
5,
2,
6,
2,
3,
4,
2,
3,
2,
2,
4,
2,
4,
5,
4,
2,
2,
5,
4,
4,
3,
4,
2,
10,
6,
3,
3,
3,
2,
3,
2,
4,
3,
5,
2,
2,
6,
8,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
4,
2,
2,
4,
5,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
5,
2,
4,
4,
5,
4,
2,
2,
2,
4,
3,
3,
3,
5,
3,
3,
3,
6,
7,
7,
4,
4,
3,
3,
2,
4,
2,
3,
4,
3,
3,
3,
3,
5,
5,
2,
4,
4,
4,
2,
4,
4,
4,
4,
3,
3,
3,
3,
2,
5,
3,
4,
4,
6,
4,
3,
2,
2,
5,
3,
2,
2,
2,
3,
3,
3,
5,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
8,
7,
3,
8,
3,
6,
2,
3,
4,
3,
4,
3,
3,
3,
4,
4,
4,
4,
4,
2,
5,
4,
2,
2,
2,
2,
3,
2,
2,
2,
1,
2,
2,
2,
2,
2,
2,
2,
4,
6,
8,
4,
2,
4,
2,
3,
4,
2,
4,
2,
2,
4,
2,
2,
6,
5,
3,
4,
5,
4,
2,
2,
3,
2,
4,
4,
3,
2,
2,
2,
4,
2,
2,
2,
2,
7,
4,
3,
5,
5,
5,
5,
5,
5,
3,
5,
5,
2,
3,
3,
4,
3,
6,
6,
4,
3,
2,
2,
1,
3,
4,
4,
4,
2,
4,
6,
2,
2,
2,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
6,
4,
1,
1,
4,
3,
3,
3,
3,
2,
3,
3,
5,
4,
3,
3,
3,
5,
2,
3,
4,
3,
3,
3,
2,
3,
2,
3,
2,
1,
1,
4,
1,
2,
3,
4,
2,
3,
3,
5,
2,
4,
3,
5,
2,
3,
4,
2,
2,
5,
3,
2,
2,
3,
7,
7,
4,
4,
3,
4,
2,
4,
2,
2,
2,
2,
3,
6,
6,
3,
2,
4,
2,
4,
4,
4,
4,
3,
2,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
3,
4,
2,
5,
3,
3,
6,
4,
5,
2,
6,
6,
7,
7,
4,
3,
5,
5,
4,
6,
5,
3,
3,
3,
3,
3,
3,
4,
5,
5,
5,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
5,
4,
3,
3,
2,
3,
4,
2,
2,
4,
3,
2,
3,
3,
6,
4,
4,
2,
4,
3,
2,
2,
3,
6,
4,
5,
2,
3,
4,
2,
4,
4,
2,
2,
5,
2,
4,
2,
2,
3,
3,
3,
5,
2,
4,
4,
3,
3,
2,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
3,
3,
2,
2,
5,
4,
3,
2,
2,
2,
2,
2,
3,
3,
1,
1,
3,
3,
3,
4,
2,
4,
4,
4,
2,
2,
3,
2,
2,
5,
3,
4,
4,
4,
4,
3,
6,
6,
6,
2,
3,
2,
4,
4,
4,
6,
6,
4,
2,
3,
6,
4,
1,
5,
5,
4,
3,
3,
3,
2,
4,
5,
5,
4,
3,
5,
3,
2,
4,
4,
2,
2,
3,
4,
4,
4,
3,
4,
3,
4,
4,
4,
3,
3,
3,
3,
8,
7,
5,
2,
3,
4,
4,
4,
3,
3,
3,
2,
2,
3,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
4,
8,
4,
4,
4,
4,
4,
4,
5,
4,
4,
2,
1,
2,
2,
2,
4,
4,
4,
2,
3,
4,
4,
5,
3,
3,
3,
4,
2,
2,
1,
2,
2,
4,
3,
4,
2,
3,
4,
4,
3,
3,
3,
4,
2,
3,
3,
3,
2,
2,
2,
2,
3,
3,
2,
3,
4,
3,
3,
1,
1,
1,
2,
2,
2,
2,
2,
2,
2,
4,
5,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
1,
2,
3,
3,
2,
3,
3,
4,
3,
3,
3,
3,
2,
4,
4,
4,
4,
3,
2,
3,
4,
3,
3,
3,
4,
4,
4,
4,
2,
3,
2,
4,
5,
3,
4,
4,
3,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
4,
5,
2,
4,
5,
3,
3,
4,
2,
3,
2,
2,
4,
6,
6,
2,
3,
3,
3,
4,
4,
3,
4,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
4,
2,
4,
2,
2,
3,
4,
5,
3,
2,
2,
4,
4,
5,
4,
2,
10,
4,
4,
4,
2,
3,
6,
2,
2,
4,
3,
3,
2,
6,
4,
6,
3,
3,
4,
4,
4,
2,
3,
4,
5,
4,
4,
3,
4,
4,
4,
4,
2,
4,
2,
4,
4,
4,
2,
2,
6,
3,
4,
4,
1,
3,
2,
2,
6,
2,
2,
4,
2,
2,
4,
4,
4,
2,
3,
2,
3,
3,
4,
4,
4,
3,
4,
4,
4,
3,
3,
4,
3,
2,
2,
2,
3,
5,
3,
2,
2,
2,
2,
2,
6,
6,
4,
4,
2,
2,
2,
2,
2,
2,
2,
8,
3,
3,
2,
4,
5,
2,
2,
4,
4,
4,
7,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
4,
2,
2,
2,
5,
2,
4,
4,
2,
2,
3,
4,
2,
4,
2,
4,
5,
2,
3,
4,
1,
3,
3,
4,
3,
2,
5,
2,
2,
4,
4,
2,
2,
2,
2,
2,
2,
6,
6,
5,
3,
3,
2,
2,
4,
2,
3,
3,
4,
3,
3,
3,
2,
3,
4,
4,
4,
2,
4,
4,
5,
5,
4,
2,
4,
2,
6,
2,
4,
5,
2,
3,
4,
4,
1,
2,
4,
4,
2,
3,
4,
3,
3,
2,
2,
3,
4,
4,
2,
4,
4,
4,
4,
4,
3,
3,
2,
4,
3,
3,
1,
2,
2,
3,
3,
4,
3,
3,
3,
6,
2,
4,
2,
3,
3,
3,
4,
5,
3,
6,
4,
3,
2,
3,
3,
2,
3,
2,
4,
4,
4,
3,
4,
4,
2,
3,
4,
5,
4,
2,
4,
3,
2,
3,
3,
2,
3,
4,
3,
4,
6,
4,
4,
4,
4,
5,
2,
3,
3,
3,
4,
2,
4,
2,
2,
2,
6,
3,
4,
4,
3,
3,
5,
3,
4,
3,
3,
3,
2,
5,
4,
3,
3,
4,
4,
4,
1,
5,
2,
2,
3,
4,
2,
4,
3,
5,
5,
3,
3,
4,
3,
3,
5,
4,
2,
2,
2,
5,
2,
6,
4,
4,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
3,
4,
4,
2,
2,
2,
4,
2,
3,
3,
5,
2,
2,
2,
3,
3,
2,
3,
3,
2,
2,
4,
4,
4,
4,
3,
4,
3,
2,
2,
2,
3,
2,
3,
3,
2,
2,
3,
4,
3,
2,
4,
3,
2,
2,
2,
2,
4,
5,
4,
2,
5,
2,
3,
3,
6,
4,
1,
2,
2,
2,
2,
3,
5,
1,
5,
4,
2,
2,
2,
3,
4,
2,
5,
2,
5,
4,
7,
5,
4,
5,
4,
4,
6,
4,
5,
4,
3,
3,
4,
4,
7,
4,
3,
4,
3,
3,
6,
5,
4,
4,
3,
3,
2,
2,
2,
2,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
5,
2,
2,
6,
3,
3,
3,
2,
2,
2,
3,
2,
5,
5,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
3,
4,
2,
4,
2,
2,
4,
4,
4,
2,
2,
2,
3,
4,
4,
6,
6,
3,
2,
3,
3,
5,
3,
4,
2,
4,
3,
3,
3,
3,
3,
2,
4,
2,
1,
1,
4,
4,
3,
3,
2,
3,
2,
2,
3,
4,
2,
2,
3,
2,
4,
2,
5,
4,
3,
4,
3,
3,
3,
4,
4,
4,
4,
3,
3,
2,
4,
3,
2,
1,
1,
2,
3,
2,
3,
3,
4,
4,
4,
2,
5,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
3,
5,
2,
4,
2,
3,
3,
6,
2,
3,
4,
2,
2,
4,
2,
2,
4,
3,
3,
4,
4,
5,
2,
4,
3,
2,
2,
3,
2,
2,
2,
2,
3,
5,
5,
2,
6,
2,
6,
4,
3,
2,
4,
2,
3,
3,
4,
2,
1,
2,
2,
2,
2,
3,
3,
4,
4,
5,
7,
3,
3,
3,
3,
2,
5,
2,
2,
5,
3,
6,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
2,
2,
3,
4,
2,
2,
2,
4,
2,
4,
4,
2,
4,
3,
3,
3,
2,
3,
4,
4,
3,
4,
3,
4,
3,
3,
2,
2,
1,
2,
4,
2,
2,
2,
3,
4,
2,
2,
2,
3,
4,
3,
4,
2,
3,
6,
4,
4,
5,
4,
4,
2,
2,
3,
3,
4,
4,
2,
2,
4,
2,
5,
3,
2,
4,
2,
1,
1,
3,
2,
5,
8,
4,
4,
3,
4,
4,
4,
3,
3,
4,
3,
2,
3,
3,
3,
2,
5,
4,
3,
2,
2,
2,
5,
2,
4,
4,
5,
2,
3,
3,
3,
4,
2,
1,
2,
2,
2,
3,
7,
3,
4,
3,
5,
3,
2,
2,
4,
5,
2,
3,
5,
2,
2,
2,
6,
5,
5,
3,
2,
4,
4,
2,
3,
3,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
1,
4,
3,
2,
2,
3,
3,
3,
2,
2,
4,
4,
3,
3,
5,
6,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
5,
2,
3,
4,
4,
4,
4,
2,
3,
4,
3,
5,
3,
4,
6,
7,
7,
4,
4,
3,
3,
4,
3,
4,
4,
3,
3,
3,
5,
4,
3,
2,
3,
3,
4,
1,
3,
2,
4,
3,
2,
2,
4,
1,
2,
3,
3,
4,
4,
2,
2,
4,
4,
4,
3,
3,
4,
4,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
6,
2,
3,
4,
2,
3,
6,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
6,
3,
3,
3,
6,
6,
3,
2,
3,
3,
2,
1,
2,
3,
2,
4,
3,
2,
2,
2,
5,
3,
3,
3,
3,
4,
5,
4,
4,
3,
3,
3,
3,
4,
2,
3,
3,
4,
5,
2,
2,
2,
3,
3,
2,
3,
4,
4,
3,
2,
4,
6,
2,
8,
4,
2,
4,
3,
4,
4,
4,
4,
4,
3,
5,
3,
4,
5,
7,
4,
2,
3,
5,
2,
3,
4,
2,
1,
2,
2,
2,
4,
6,
4,
2,
2,
2,
5,
2,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
4,
8,
2,
2,
3,
2,
4,
4,
4,
2,
4,
4,
4,
2,
1,
2,
2,
2,
2,
2,
5,
6,
4,
3,
4,
4,
4,
3,
3,
2,
2,
3,
4,
3,
3,
3,
2,
7,
4,
2,
3,
4,
3,
2,
2,
2,
2,
3,
6,
4,
3,
2,
5,
3,
4,
4,
4,
3,
3,
2,
3,
3,
3,
6,
4,
4,
2,
2,
3,
3,
2,
4,
2,
5,
3,
3,
2,
2,
2,
3,
4,
3,
5,
4,
4,
2,
1,
3,
3,
2,
2,
6,
4,
5,
4,
5,
3,
4,
4,
4,
4,
4,
3,
5,
4,
4,
5,
2,
3,
2,
2,
2,
5,
4,
4,
4,
1,
1,
2,
4,
2,
2,
2,
3,
2,
4,
3,
2,
5,
4,
2,
3,
2,
5,
5,
2,
2,
2,
2,
2,
2,
4,
2,
6,
4,
4,
2,
4,
4,
4,
2,
2,
2,
4,
5,
3,
2,
2,
3,
3,
3,
2,
4,
4,
4,
4,
2,
3,
2,
4,
4,
2,
4,
1,
4,
3,
2,
1,
3,
3,
2,
6,
3,
4,
4,
4,
3,
3,
2,
4,
4,
4,
4,
4,
2,
3,
4,
4,
5,
4,
4,
3,
3,
3,
3,
3,
4,
5,
1,
2,
4,
6,
2,
3,
3,
4,
4,
3,
3,
3,
4,
4,
4,
3,
4,
1,
4,
2,
2,
3,
2,
4,
3,
2,
4,
3,
3,
3,
4,
4,
4,
2,
4,
4,
3,
5,
2,
5,
3,
3,
3,
2,
4,
2,
3,
2,
3,
3,
3,
4,
4,
4,
6,
3,
2,
4,
4,
3,
3,
5,
2,
3,
4,
4,
5,
6,
4,
5,
4,
3,
4,
6,
6,
4,
4,
2,
4,
4,
3,
3,
3,
3,
4,
2,
2,
6,
4,
3,
3,
3,
5,
4,
3,
2,
2,
3,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
2,
4,
5,
5,
5,
3,
4,
2,
2,
3,
3,
3,
3,
3,
6,
7,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
5,
3,
2,
1,
2,
2,
1,
2,
8,
4,
2,
5,
4,
3,
3,
5,
4,
6,
5,
5,
2,
2,
4,
4,
5,
4,
2,
5,
5,
5,
5,
3,
4,
3,
3,
4,
3,
4,
2,
1,
2,
2,
2,
2,
3,
7,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
3,
7,
4,
3,
4,
4,
3,
4,
8,
4,
2,
2,
3,
5,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
2,
4,
6,
4,
3,
2,
4,
4,
3,
2,
2,
3,
2,
2,
2,
5,
4,
2,
4,
2,
6,
4,
5,
4,
3,
3,
3,
2,
3,
3,
2,
4,
1,
3,
2,
4,
4,
4,
4,
2,
2,
3,
4,
3,
3,
4,
4,
4,
4,
5,
7,
2,
2,
2,
3,
2,
3,
2,
4,
2,
2,
2,
4,
2,
2,
4,
3,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
4,
5,
4,
2,
5,
4,
4,
3,
2,
4,
4,
3,
4,
4,
2,
4,
4,
3,
3,
4,
4,
3,
2,
4,
3,
3,
2,
3,
3,
4,
2,
4,
2,
2,
4,
2,
3,
4,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
2,
2,
5,
3,
7,
3,
4,
3,
2,
2,
4,
4,
4,
6,
4,
6,
3,
4,
2,
4,
4,
7,
3,
4,
3,
2,
3,
3,
3,
4,
4,
4,
4,
5,
2,
4,
7,
2,
4,
2,
4,
4,
4,
5,
3,
2,
3,
3,
3,
3,
4,
4,
3,
2,
2,
2,
3,
3,
3,
3,
4,
3,
2,
4,
3,
3,
5,
5,
5,
4,
3,
3,
3,
5,
2,
5,
2,
5,
5,
3,
3,
7,
3,
3,
3,
3,
4,
2,
4,
4,
6,
4,
2,
1,
3,
1,
3,
2,
3,
4,
3,
4,
4,
3,
2,
2,
2,
2,
4,
4,
4,
1,
6,
4,
3,
4,
3,
3,
3,
2,
3,
2,
2,
3,
3,
5,
3,
2,
2,
2,
2,
2,
4,
3,
2,
2,
5,
3,
4,
6,
4,
5,
5,
3,
4,
4,
3,
4,
3,
5,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
2,
4,
3,
4,
5,
3,
2,
2,
2,
1,
4,
4,
4,
3,
3,
4,
3,
3,
5,
4,
4,
2,
2,
2,
4,
4,
4,
2,
3,
4,
3,
3,
2,
2,
3,
4,
2,
2,
2,
4,
4,
4,
2,
4,
2,
3,
4,
4,
2,
2,
3,
2,
3,
4,
4,
4,
3,
3,
4,
2,
4,
5,
5,
5,
3,
3,
3,
4,
2,
6,
4,
7,
2,
4,
4,
4,
2,
2,
2,
2,
4,
2,
4,
2,
2,
6,
3,
4,
3,
3,
2,
3,
7,
5,
2,
2,
4,
4,
5,
6,
3,
2,
2,
4,
4,
6,
4,
4,
2,
2,
3,
3,
4,
5,
8,
2,
5,
3,
4,
5,
4,
3,
2,
2,
3,
3,
5,
4,
2,
2,
3,
7,
2,
2,
2,
4,
4,
6,
9,
3,
7,
2,
2,
2,
3,
3,
4,
5,
3,
5,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
2,
3,
4,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
3,
3,
2,
5,
5,
3,
3,
4,
2,
3,
2,
2,
2,
2,
2,
2,
6,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
5,
4,
4,
4,
3,
4,
3,
3,
2,
2,
5,
3,
3,
3,
5,
4,
4,
4,
2,
4,
5,
2,
4,
4,
2,
4,
3,
2,
2,
2,
2,
4,
4,
4,
6,
3,
8,
2,
2,
4,
5,
4,
2,
2,
2,
4,
3,
4,
4,
3,
3,
2,
3,
4,
4,
2,
2,
3,
2,
4,
1,
3,
1,
4,
3,
4,
1,
3,
2,
1,
1,
2,
4,
4,
3,
5,
4,
3,
3,
3,
3,
3,
3,
2,
4,
2,
3,
2,
4,
4,
2,
3,
3,
5,
6,
2,
8,
3,
2,
2,
4,
2,
4,
5,
6,
4,
4,
5,
4,
3,
3,
5,
2,
4,
4,
4,
4,
4,
4,
1,
4,
3,
2,
4,
2,
4,
4,
4,
2,
3,
2,
4,
2,
2,
7,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
4,
3,
2,
4,
2,
4,
4,
4,
5,
4,
3,
3,
4,
4,
3,
4,
4,
2,
1,
1,
1,
4,
4,
4,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
3,
3,
3,
2,
4,
4,
3,
2,
2,
4,
4,
4,
6,
5,
3,
4,
2,
4,
4,
2,
6,
6,
4,
2,
3,
2,
3,
4,
4,
2,
4,
3,
4,
4,
4,
4,
2,
2,
3,
7,
2,
2,
2,
6,
6,
3,
2,
4,
2,
5,
4,
4,
2,
3,
3,
4,
4,
2,
2,
7,
3,
3,
2,
2,
3,
2,
4,
3,
8,
4,
4,
4,
4,
3,
4,
4,
3,
4,
4,
2,
2,
4,
3,
4,
3,
3,
3,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
2,
2,
1,
5,
4,
2,
4,
4,
3,
3,
4,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
6,
4,
4,
1,
3,
3,
3,
3,
3,
3,
3,
4,
3,
2,
4,
4,
3,
3,
4,
2,
6,
6,
2,
2,
4,
5,
4,
2,
3,
3,
6,
5,
3,
3,
2,
2,
2,
2,
2,
3,
5,
3,
4,
4,
4,
3,
3,
2,
3,
2,
3,
2,
4,
2,
4,
4,
4,
3,
2,
6,
4,
3,
3,
3,
3,
3,
2,
4,
4,
8,
2,
2,
2,
2,
3,
3,
4,
4,
2,
4,
4,
4,
2,
8,
3,
4,
8,
2,
2,
3,
3,
3,
4,
3,
3,
2,
2,
3,
6,
6,
5,
3,
3,
3,
6,
4,
4,
4,
2,
2,
5,
3,
3,
3,
3,
4,
7,
4,
5,
4,
5,
5,
2,
2,
2,
4,
4,
2,
2,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
6,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
2,
3,
3,
5,
5,
6,
2,
5,
3,
3,
3,
3,
5,
2,
4,
2,
2,
2,
3,
3,
3,
4,
3,
3,
2,
4,
3,
3,
3,
3,
2,
2,
4,
4,
5,
5,
1,
5,
2,
4,
4,
4,
4,
3,
3,
2,
2,
2,
3,
2,
2,
4,
4,
3,
5,
5,
4,
4,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
3,
2,
3,
3,
3,
2,
3,
3,
3,
3,
3,
5,
5,
2,
2,
2,
4,
3,
2,
5,
2,
3,
5,
4,
4,
2,
1,
2,
3,
2,
3,
2,
2,
3,
2,
4,
3,
3,
3,
4,
4,
2,
3,
4,
4,
3,
2,
2,
4,
5,
4,
4,
2,
7,
3,
7,
4,
4,
3,
2,
3,
4,
4,
2,
3,
3,
2,
4,
3,
3,
3,
4,
5,
4,
5,
3,
4,
3,
4,
4,
6,
2,
2,
2,
5,
4,
4,
4,
4,
2,
3,
2,
3,
2,
3,
4,
2,
2,
2,
3,
3,
3,
3,
2,
4,
3,
3,
3,
1,
2,
4,
3,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
2,
2,
4,
3,
2,
3,
2,
3,
5,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
4,
2,
3,
2,
2,
3,
2,
2,
3,
5,
6,
4,
4,
4,
6,
3,
7,
3,
6,
4,
4,
4,
4,
2,
2,
3,
4,
3,
5,
2,
5,
5,
5,
5,
2,
4,
3,
2,
3,
3,
3,
4,
2,
3,
2,
2,
2,
4,
4,
3,
4,
3,
2,
4,
4,
4,
2,
2,
2,
5,
5,
4,
2,
3,
5,
5,
3,
2,
4,
2,
1,
2,
4,
2,
3,
3,
2,
3,
1,
2,
3,
3,
3,
3,
3,
3,
3,
3,
5,
6,
4,
2,
3,
3,
3,
3,
3,
2,
3,
2,
5,
3,
3,
2,
4,
4,
2,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
4,
6,
4,
4,
2,
4,
4,
2,
2,
3,
3,
2,
4,
7,
2,
2,
2,
4,
4,
11,
4,
3,
3,
3,
4,
2,
2,
3,
4,
2,
3,
2,
4,
2,
4,
3,
3,
4,
4,
4,
4,
3,
5,
4,
2,
1,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
3,
3,
1,
1,
4,
2,
3,
3,
4,
4,
4,
3,
2,
4,
4,
4,
4,
2,
3,
2,
2,
6,
4,
3,
4,
2,
4,
2,
3,
3,
7,
3,
3,
3,
3,
3,
3,
5,
3,
8,
6,
1,
3,
5,
4,
2,
2,
4,
4,
4,
4,
4,
4,
2,
5,
5,
5,
3,
3,
3,
3,
3,
7,
5,
2,
2,
2,
2,
2,
2,
3,
5,
2,
4,
4,
3,
3,
2,
2,
2,
3,
3,
3,
4,
5,
5,
8,
8,
4,
3,
4,
4,
4,
4,
2,
2,
5,
5,
3,
3,
2,
6,
2,
3,
4,
3,
3,
4,
4,
4,
2,
4,
3,
4,
2,
2,
2,
3,
4,
2,
2,
4,
5,
6,
5,
5,
2,
3,
2,
4,
3,
3,
3,
5,
2,
2,
4,
2,
4,
3,
5,
4,
7,
6,
4,
4,
2,
4,
4,
4,
2,
6,
4,
4,
4,
5,
2,
3,
6,
4,
6,
8,
2,
4,
8,
4,
4,
2,
2,
4,
4,
2,
2,
3,
3,
5,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
4,
5,
6,
6,
6,
6,
5,
6,
4,
6,
6,
4,
4,
4,
2,
5,
5,
5,
4,
2,
4,
2,
3,
3,
3,
3,
2,
2,
6,
3,
4,
2,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
6,
2,
5,
6,
5,
3,
3,
3,
3,
4,
4,
4,
4,
2,
1,
2,
2,
2,
4,
2,
2,
2,
3,
3,
2,
2,
2,
2,
4,
2,
4,
5,
4,
4,
4,
5,
3,
2,
3,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
3,
3,
3,
3,
2,
2,
3,
4,
4,
2,
4,
3,
2,
2,
4,
4,
2,
2,
2,
2,
4,
4,
4,
3,
3,
4,
4,
3,
3,
5,
3,
3,
3,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
5,
4,
5,
3,
5,
2,
4,
4,
4,
2,
4,
5,
8,
3,
4,
5,
3,
3,
3,
6,
4,
2,
2,
2,
4,
3,
2,
2,
2,
8,
4,
2,
2,
4,
5,
10,
3,
2,
5,
5,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
4,
3,
4,
4,
4,
3,
2,
2,
2,
5,
3,
5,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
3,
5,
4,
4,
3,
3,
4,
2,
3,
2,
2,
3,
4,
4,
4,
4,
3,
2,
3,
3,
3,
2,
3,
4,
2,
3,
2,
2,
4,
4,
5,
5,
4,
4,
2,
2,
4,
2,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
5,
3,
3,
2,
2,
4,
2,
4,
2,
2,
2,
2,
5,
3,
4,
4,
4,
4,
4,
3,
3,
3,
4,
3,
4,
3,
3,
3,
3,
3,
3,
2,
1,
2,
2,
2,
3,
7,
4,
5,
4,
5,
5,
5,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
3,
3,
2,
5,
4,
3,
2,
2,
7,
2,
3,
4,
2,
4,
4,
2,
4,
2,
4,
4,
3,
2,
4,
4,
6,
2,
2,
2,
4,
4,
2,
2,
1,
3,
4,
3,
2,
2,
3,
2,
8,
5,
2,
2,
2,
2,
5,
4,
4,
4,
5,
5,
2,
4,
3,
3,
3,
4,
4,
4,
2,
4,
3,
3,
3,
2,
3,
2,
1,
3,
2,
2,
3,
3,
4,
3,
3,
5,
5,
3,
3,
3,
4,
4,
4,
3,
3,
3,
4,
3,
2,
4,
2,
1,
2,
2,
2,
2,
2,
3,
3,
4,
2,
2,
2,
5,
9,
5,
6,
5,
3,
3,
4,
5,
7,
6,
4,
4,
2,
2,
3,
3,
3,
3,
4,
2,
2,
2,
4,
2,
4,
4,
2,
2,
2,
6,
4,
4,
3,
2,
3,
3,
2,
2,
1,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
3,
5,
6,
4,
5,
4,
4,
4,
4,
3,
3,
4,
4,
4,
2,
2,
2,
2,
4,
2,
2,
2,
3,
4,
2,
2,
3,
2,
2,
3,
2,
2,
6,
2,
2,
2,
4,
3,
3,
3,
3,
7,
3,
3,
4,
3,
3,
3,
4,
2,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
4,
2,
4,
5,
3,
2,
3,
4,
5,
3,
2,
2,
4,
2,
2,
2,
2,
6,
2,
2,
2,
2,
2,
3,
4,
4,
4,
6,
8,
6,
5,
2,
3,
2,
2,
4,
2,
2,
3,
3,
2,
2,
4,
4,
6,
1,
2,
2,
1,
2,
2,
4,
3,
3,
3,
3,
3,
1,
3,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
5,
5,
5,
3,
2,
4,
2,
6,
1,
4,
4,
2,
2,
4,
3,
4,
3,
7,
4,
3,
3,
3,
2,
2,
3,
3,
2,
2,
2,
4,
2,
4,
2,
4,
4,
4,
4,
4,
3,
2,
8,
5,
3,
2,
3,
4,
4,
1,
2,
2,
2,
4,
4,
4,
5,
4,
2,
3,
3,
3,
4,
4,
4,
2,
2,
3,
4,
2,
3,
2,
6,
5,
3,
4,
4,
4,
2,
4,
3,
3,
2,
2,
2,
2,
3,
3,
5,
3,
2,
3,
4,
4,
4,
2,
4,
2,
2,
1,
4,
4,
4,
3,
5,
4,
4,
3,
2,
4,
3,
4,
3,
4,
4,
3,
3,
5,
4,
4,
2,
2,
2,
2,
2,
5,
4,
5,
3,
4,
3,
2,
4,
3,
4,
5,
4,
2,
3,
4,
1,
1,
3,
7,
4,
2,
2,
2,
2,
2,
2,
3,
5,
3,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
1,
4,
2,
4,
4,
5,
5,
5,
3,
2,
3,
3,
3,
4,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
2,
4,
4,
3,
3,
3,
3,
4,
5,
4,
4,
2,
3,
2,
6,
4,
2,
4,
3,
3,
4,
2,
4,
2,
2,
2,
2,
3,
3,
4,
5,
2,
3,
4,
2,
2,
4,
4,
2,
3,
4,
3,
3,
3,
4,
2,
5,
2,
5,
3,
2,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
3,
3,
3,
2,
3,
2,
2,
3,
4,
1,
2,
2,
4,
2,
5,
4,
5,
4,
4,
2,
4,
7,
3,
2,
2,
2,
3,
3,
5,
3,
4,
4,
3,
4,
6,
3,
3,
2,
4,
4,
6,
3,
2,
2,
3,
2,
2,
1,
3,
3,
3,
5,
2,
3,
1,
2,
3,
5,
2,
3,
1,
2,
3,
2,
1,
3,
3,
5,
5,
5,
4,
4,
3,
5,
4,
4,
5,
4,
3,
4,
4,
6,
2,
4,
2,
3,
6,
5,
4,
2,
4,
2,
3,
3,
3,
3,
4,
2,
3,
2,
3,
2,
5,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
6,
6,
3,
2,
2,
4,
4,
3,
3,
2,
1,
2,
6,
3,
5,
4,
4,
3,
3,
4,
2,
2,
2,
2,
2,
2,
5,
4,
4,
5,
3,
3,
3,
3,
5,
3,
2,
3,
2,
3,
2,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
5,
2,
2,
3,
3,
3,
3,
10,
3,
4,
3,
3,
3,
3,
3,
4,
2,
4,
8,
3,
4,
4,
4,
2,
4,
4,
4,
3,
3,
3,
2,
2,
2,
7,
6,
3,
4,
3,
2,
2,
3,
3,
4,
3,
2,
2,
3,
4,
3,
4,
3,
4,
4,
3,
4,
3,
3,
2,
5,
4,
2,
2,
3,
2,
2,
3,
2,
2,
4,
2,
4,
3,
2,
2,
4,
3,
2,
3,
2,
4,
4,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
2,
2,
2,
3,
3,
3,
4,
4,
2,
3,
3,
2,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
2,
3,
2,
5,
4,
4,
2,
3,
3,
2,
3,
4,
4,
4,
2,
2,
5,
5,
3,
2,
2,
4,
4,
3,
2,
4,
4,
4,
4,
3,
2,
2,
2,
5,
8,
3,
3,
2,
3,
2,
2,
2,
3,
3,
4,
1,
6,
2,
2,
2,
4,
3,
4,
4,
4,
2,
2,
3,
3,
3,
3,
2,
3,
5,
3,
3,
4,
3,
4,
3,
2,
1,
4,
3,
3,
4,
4,
4,
5,
3,
4,
4,
3,
2,
2,
3,
1,
3,
5,
5,
2,
3,
3,
3,
4,
4,
4,
2,
6,
3,
3,
3,
2,
3,
6,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
7,
4,
2,
2,
3,
4,
3,
6,
6,
3,
4,
2,
4,
3,
4,
2,
2,
4,
3,
4,
3,
2,
3,
2,
3,
5,
2,
3,
2,
4,
4,
4,
5,
4,
2,
2,
4,
4,
5,
3,
2,
3,
4,
2,
2,
3,
2,
3,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
2,
4,
4,
4,
10,
2,
2,
4,
4,
4,
6,
5,
3,
3,
2,
5,
2,
2,
2,
2,
3,
4,
3,
2,
4,
4,
4,
2,
7,
6,
4,
3,
5,
1,
2,
2,
3,
3,
2,
2,
3,
4,
4,
4,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
4,
2,
2,
2,
7,
3,
3,
5,
2,
4,
2,
5,
5,
3,
2,
3,
3,
4,
3,
2,
3,
5,
6,
4,
1,
5,
5,
2,
5,
4,
4,
2,
3,
2,
3,
3,
2,
3,
5,
6,
4,
2,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
2,
3,
2,
3,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
4,
4,
2,
4,
4,
4,
5,
3,
4,
7,
4,
4,
4,
4,
4,
4,
4,
2,
5,
3,
2,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
3,
7,
4,
4,
2,
6,
3,
6,
2,
6,
3,
3,
1,
4,
2,
3,
4,
3,
4,
5,
3,
2,
3,
2,
2,
3,
4,
4,
2,
5,
3,
2,
2,
2,
2,
5,
2,
2,
2,
3,
3,
6,
2,
3,
2,
2,
2,
3,
2,
3,
3,
3,
5,
3,
2,
3,
3,
4,
4,
4,
3,
3,
2,
3,
5,
5,
2,
2,
1,
1,
3,
3,
2,
2,
6,
2,
3,
3,
3,
4,
3,
3,
2,
4,
4,
4,
3,
4,
4,
3,
3,
4,
3,
3,
4,
3,
2,
2,
5,
4,
2,
4,
2,
2,
2,
1,
1,
2,
3,
1,
1,
1,
3,
3,
4,
4,
4,
4,
6,
4,
5,
2,
4,
1,
3,
3,
6,
3,
7,
3,
4,
4,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
4,
4,
3,
4,
4,
3,
4,
3,
2,
2,
2,
4,
2,
4,
4,
2,
3,
4,
3,
3,
2,
4,
2,
2,
3,
2,
2,
3,
3,
3,
3,
3,
2,
2,
3,
4,
1,
4,
1,
3,
4,
4,
3,
2,
2,
2,
3,
3,
3,
2,
3,
5,
4,
3,
2,
3,
4,
3,
3,
4,
4,
2,
3,
2,
2,
2,
2,
5,
3,
2,
5,
5,
3,
4,
4,
2,
2,
4,
2,
4,
3,
3,
4,
4,
3,
4,
3,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
8,
4,
4,
2,
2,
3,
2,
2,
4,
3,
3,
2,
3,
4,
4,
2,
2,
3,
4,
3,
4,
4,
2,
2,
2,
2,
3,
2,
2,
3,
2,
4,
2,
5,
3,
6,
2,
2,
5,
3,
2,
5,
2,
4,
3,
5,
2,
3,
3,
3,
5,
4,
4,
2,
4,
2,
3,
3,
4,
4,
4,
4,
2,
2,
2,
4,
5,
5,
2,
2,
4,
4,
2,
2,
2,
2,
2,
5,
2,
4,
2,
5,
2,
3,
4,
4,
4,
4,
3,
2,
2,
2,
3,
3,
6,
2,
4,
4,
5,
4,
3,
3,
7,
2,
3,
3,
4,
3,
4,
4,
4,
4,
1,
2,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
3,
1,
2,
2,
3,
4,
3,
3,
3,
2,
2,
2,
3,
5,
2,
4,
3,
3,
2,
3,
2,
2,
4,
6,
2,
4,
7,
2,
3,
3,
6,
6,
6,
4,
4,
3,
3,
4,
5,
5,
4,
3,
3,
2,
2,
2,
2,
3,
4,
7,
3,
3,
2,
3,
3,
3,
3,
3,
4,
5,
4,
4,
2,
3,
7,
7,
4,
2,
2,
4,
5,
4,
2,
4,
4,
4,
3,
6,
3,
4,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
5,
4,
2,
3,
3,
3,
3,
3,
4,
3,
4,
5,
3,
2,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
2,
2,
3,
3,
4,
4,
4,
4,
2,
4,
6,
4,
2,
3,
2,
3,
2,
2,
3,
2,
2,
2,
2,
4,
3,
3,
5,
4,
3,
3,
2,
2,
3,
2,
5,
2,
2,
2,
2,
3,
5,
4,
2,
3,
5,
2,
3,
2,
2,
4,
4,
3,
4,
4,
2,
3,
3,
2,
2,
3,
3,
2,
5,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
3,
4,
3,
2,
3,
2,
5,
2,
2,
3,
3,
4,
2,
2,
4,
4,
4,
6,
4,
4,
4,
2,
4,
5,
4,
4,
4,
4,
4,
2,
4,
6,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
3,
2,
5,
3,
2,
5,
4,
4,
4,
2,
2,
2,
2,
2,
4,
3,
3,
3,
5,
3,
3,
4,
4,
3,
3,
2,
4,
4,
4,
2,
4,
2,
4,
1,
3,
2,
1,
1,
2,
2,
2,
2,
2,
3,
3,
4,
3,
4,
4,
2,
2,
6,
4,
3,
3,
3,
4,
1,
5,
1,
2,
4,
3,
3,
6,
3,
3,
5,
2,
2,
2,
3,
3,
3,
3,
5,
5,
4,
2,
2,
2,
3,
3,
5,
5,
4,
8,
3,
3,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
3,
2,
4,
2,
3,
2,
3,
2,
2,
3,
2,
2,
4,
2,
2,
3,
3,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
3,
5,
4,
4,
4,
4,
4,
3,
4,
3,
2,
2,
2,
3,
2,
3,
2,
2,
3,
2,
3,
2,
2,
4,
3,
4,
3,
4,
4,
4,
2,
2,
4,
4,
2,
2,
3,
2,
2,
2,
2,
6,
3,
3,
3,
4,
2,
4,
4,
5,
2,
2,
4,
3,
2,
2,
4,
5,
4,
1,
4,
4,
3,
4,
2,
4,
4,
3,
4,
2,
2,
3,
2,
2,
3,
2,
3,
2,
4,
3,
2,
2,
3,
3,
2,
2,
2,
4,
4,
2,
3,
3,
3,
3,
2,
2,
2,
4,
2,
2,
2,
5,
5,
3,
3,
3,
4,
3,
4,
2,
1,
4,
5,
4,
4,
4,
3,
5,
3,
3,
3,
3,
1,
3,
4,
3,
3,
3,
4,
4,
4,
3,
4,
4,
4,
3,
3,
3,
2,
2,
2,
3,
2,
2,
4,
2,
2,
4,
4,
3,
3,
3,
3,
5,
6,
4,
4,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
5,
2,
6,
4,
3,
2,
2,
2,
2,
2,
1,
3,
4,
2,
2,
4,
4,
2,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
2,
1,
2,
3,
6,
3,
3,
4,
2,
4,
4,
2,
5,
4,
4,
4,
2,
2,
3,
3,
4,
4,
2,
7,
2,
4,
4,
2,
4,
3,
4,
3,
2,
3,
3,
3,
4,
2,
4,
3,
2,
2,
3,
2,
3,
3,
3,
2,
4,
3,
4,
3,
4,
4,
4,
5,
5,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
5,
4,
3,
3,
4,
2,
2,
4,
4,
2,
6,
4,
8,
6,
3,
4,
2,
3,
2,
4,
4,
2,
2,
3,
3,
4,
2,
3,
3,
4,
4,
4,
4,
4,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
7,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
6,
3,
3,
3,
4,
2,
3,
2,
2,
2,
5,
10,
4,
2,
2,
2,
4,
4,
3,
2,
3,
2,
3,
2,
3,
2,
3,
2,
2,
6,
6,
2,
3,
2,
3,
2,
2,
4,
4,
2,
2,
2,
3,
6,
3,
3,
3,
4,
3,
2,
3,
3,
3,
2,
2,
2,
2,
5,
2,
2,
3,
3,
3,
5,
4,
4,
4,
4,
2,
3,
4,
2,
2,
7,
7,
4,
4,
5,
3,
7,
6,
1,
2,
3,
2,
4,
5,
4,
2,
2,
3,
2,
4,
4,
5,
5,
4,
4,
2,
2,
4,
4,
4,
2,
2,
2,
4,
2,
2,
4,
4,
4,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
5,
3,
4,
4,
4,
3,
2,
4,
4,
6,
5,
3,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
6,
2,
4,
3,
2,
4,
2,
2,
6,
3,
3,
3,
4,
4,
2,
3,
2,
2,
4,
2,
2,
2,
3,
2,
2,
3,
5,
2,
2,
5,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
7,
7,
2,
2,
8,
4,
2,
2,
2,
2,
2,
2,
3,
4,
5,
4,
3,
3,
3,
2,
2,
1,
2,
3,
2,
3,
4,
2,
2,
7,
4,
2,
2,
2,
2,
4,
2,
2,
3,
3,
4,
4,
2,
3,
3,
4,
6,
6,
3,
4,
2,
2,
2,
2,
2,
2,
3,
2,
4,
4,
3,
4,
4,
3,
4,
5,
2,
3,
3,
3,
4,
2,
4,
3,
2,
4,
4,
3,
2,
4,
3,
3,
3,
3,
2,
2,
2,
3,
4,
4,
4,
2,
2,
2,
2,
3,
3,
2,
2,
6,
2,
4,
3,
3,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
6,
5,
4,
3,
2,
2,
5,
3,
5,
5,
5,
5,
3,
3,
2,
2,
4,
4,
4,
2,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
4,
4,
2,
4,
2,
4,
2,
3,
4,
2,
4,
3,
3,
3,
3,
3,
2,
4,
3,
6,
6,
3,
4,
4,
7,
3,
2,
2,
2,
3,
5,
6,
3,
1,
4,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
3,
5,
2,
2,
5,
3,
2,
2,
2,
2,
2,
4,
1,
5,
5,
3,
3,
4,
4,
3,
3,
3,
3,
3,
4,
2,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
4,
3,
3,
6,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
3,
5,
9,
2,
4,
3,
3,
5,
4,
2,
5,
4,
6,
5,
4,
2,
2,
4,
2,
2,
3,
4,
4,
4,
4,
2,
4,
3,
4,
2,
3,
4,
4,
3,
2,
2,
4,
2,
3,
3,
2,
4,
4,
3,
3,
2,
4,
5,
1,
4,
5,
3,
3,
3,
2,
4,
3,
4,
2,
3,
3,
4,
3,
2,
3,
3,
4,
4,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
6,
2,
3,
3,
3,
3,
6,
3,
1,
2,
4,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
5,
3,
2,
2,
3,
3,
4,
4,
4,
3,
3,
6,
2,
2,
2,
2,
5,
4,
3,
3,
3,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
4,
3,
4,
4,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
3,
4,
7,
3,
2,
4,
3,
3,
2,
3,
4,
5,
2,
2,
2,
3,
3,
3,
2,
2,
4,
5,
5,
5,
4,
4,
3,
2,
2,
2,
2,
2,
2,
4,
2,
5,
2,
4,
3,
3,
4,
2,
2,
2,
2,
3,
2,
2,
4,
4,
3,
2,
5,
1,
2,
1,
1,
2,
2,
2,
2,
3,
4,
4,
2,
1,
5,
5,
3,
3,
3,
3,
4,
4,
4,
3,
4,
3,
6,
7,
4,
4,
4,
4,
4,
4,
4,
2,
6,
6,
2,
3,
2,
5,
4,
1,
4,
4,
2,
5,
4,
4,
2,
3,
3,
3,
2,
2,
2,
4,
5,
5,
3,
5,
5,
3,
2,
3,
3,
4,
3,
3,
3,
2,
4,
4,
4,
2,
2,
4,
3,
3,
4,
2,
4,
3,
3,
3,
2,
4,
4,
2,
1,
2,
2,
2,
3,
4,
2,
3,
3,
2,
3,
3,
3,
2,
2,
1,
3,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
2,
4,
7,
7,
4,
4,
4,
4,
5,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
2,
4,
3,
4,
2,
4,
3,
3,
1,
2,
2,
2,
3,
1,
1,
2,
6,
4,
2,
2,
1,
2,
3,
2,
4,
2,
4,
3,
4,
4,
5,
8,
2,
4,
2,
2,
3,
3,
4,
1,
4,
2,
3,
5,
4,
5,
5,
3,
2,
2,
2,
2,
2,
4,
3,
2,
4,
3,
3,
2,
3,
5,
4,
2,
3,
2,
3,
3,
3,
3,
3,
2,
2,
4,
4,
2,
2,
3,
7,
7,
5,
7,
3,
3,
4,
2,
4,
2,
4,
5,
2,
2,
2,
2,
2,
2,
2,
3,
1,
3,
4,
2,
6,
2,
3,
3,
2,
2,
3,
3,
4,
2,
3,
3,
3,
6,
2,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
5,
4,
4,
2,
6,
3,
2,
2,
4,
2,
3,
3,
3,
3,
5,
3,
3,
2,
4,
3,
3,
5,
4,
5,
2,
2,
3,
2,
3,
3,
5,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
4,
4,
3,
3,
2,
2,
3,
4,
6,
2,
3,
2,
4,
2,
2,
2,
2,
4,
4,
2,
3,
2,
4,
4,
2,
2,
4,
4,
3,
4,
3,
4,
4,
3,
4,
4,
4,
3,
2,
7,
5,
3,
4,
4,
6,
3,
3,
3,
3,
3,
4,
2,
2,
2,
4,
4,
3,
3,
2,
3,
3,
4,
4,
4,
4,
4,
3,
0,
4,
2,
2,
3,
6,
3,
3,
3,
3,
6,
6,
3,
3,
3,
3,
3,
4,
3,
3,
3,
5,
6,
2,
2,
3,
3,
4,
5,
2,
6,
3,
2,
4,
3,
1,
4,
4,
2,
2,
4,
2,
2,
4,
4,
4,
6,
3,
2,
4,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
3,
2,
3,
3,
2,
2,
3,
2,
3,
2,
4,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
2,
4,
3,
2,
3,
3,
3,
6,
3,
3,
3,
4,
4,
2,
2,
3,
4,
2,
2,
5,
4,
2,
4,
2,
4,
2,
2,
4,
5,
4,
4,
4,
5,
4,
4,
4,
4,
2,
3,
2,
4,
4,
4,
4,
4,
3,
5,
1,
3,
3,
3,
3,
4,
6,
4,
3,
2,
3,
2,
2,
2,
5,
5,
3,
3,
2,
3,
4,
2,
2,
2,
2,
5,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
3,
3,
2,
2,
3,
4,
3,
2,
2,
2,
2,
2,
3,
3,
4,
5,
3,
3,
2,
3,
2,
4,
4,
4,
3,
3,
3,
3,
4,
2,
3,
4,
2,
5,
3,
3,
3,
2,
2,
2,
6,
6,
4,
4,
4,
4,
2,
3,
3,
4,
3,
4,
4,
6,
3,
2,
2,
2,
5,
2,
2,
2,
3,
6,
3,
5,
3,
6,
2,
4,
4,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
2,
2,
3,
4,
1,
2,
4,
4,
3,
4,
4,
4,
3,
5,
5,
3,
3,
2,
4,
4,
2,
8,
2,
2,
4,
4,
2,
4,
2,
3,
3,
5,
2,
2,
2,
2,
3,
4,
3,
5,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
6,
6,
4,
2,
5,
6,
4,
4,
4,
6,
2,
3,
4,
3,
2,
2,
3,
2,
3,
2,
2,
3,
3,
3,
4,
3,
4,
4,
3,
4,
4,
4,
5,
3,
3,
3,
2,
4,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
5,
2,
5,
5,
4,
2,
2,
4,
3,
3,
4,
3,
2,
4,
4,
4,
5,
5,
3,
2,
2,
3,
3,
3,
6,
5,
2,
2,
3,
4,
2,
2,
3,
4,
6,
3,
4,
3,
4,
2,
4,
2,
5,
3,
3,
3,
3,
3,
4,
3,
2,
4,
4,
4,
5,
8,
2,
4,
3,
2,
2,
2,
6,
6,
2,
1,
3,
2,
2,
4,
3,
3,
2,
2,
2,
3,
2,
4,
3,
4,
2,
3,
4,
2,
4,
2,
2,
4,
2,
6,
4,
6,
3,
3,
2,
3,
2,
3,
4,
5,
4,
4,
4,
3,
4,
3,
6,
3,
4,
4,
1,
3,
4,
4,
4,
4,
3,
3,
3,
5,
4,
4,
3,
4,
3,
3,
6,
7,
7,
4,
2,
4,
3,
3,
3,
4,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
3,
3,
4,
4,
3,
2,
3,
2,
2,
4,
4,
4,
4,
3,
3,
2,
4,
4,
2,
3,
6,
5,
2,
4,
4,
4,
6,
3,
4,
4,
3,
3,
2,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
5,
5,
5,
3,
3,
3,
3,
3,
3,
3,
3,
6,
5,
5,
3,
3,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
6,
4,
4,
4,
2,
4,
3,
3,
2,
6,
6,
5,
5,
3,
4,
4,
3,
2,
4,
2,
2,
2,
2,
2,
3,
2,
2,
3,
1,
2,
4,
6,
4,
3,
3,
2,
2,
2,
3,
3,
4,
3,
3,
2,
2,
2,
2,
3,
3,
2,
2,
4,
4,
4,
2,
2,
4,
3,
6,
2,
2,
2,
2,
4,
2,
2,
2,
3,
2,
2,
2,
5,
3,
4,
1,
3,
4,
4,
3,
7,
2,
3,
2,
2,
4,
2,
3,
3,
3,
6,
3,
2,
4,
2,
4,
4,
4,
4,
2,
4,
4,
2,
4,
3,
3,
3,
3,
3,
4,
3,
2,
3,
2,
4,
4,
2,
4,
3,
2,
2,
3,
3,
3,
3,
4,
2,
3,
2,
4,
4,
2,
2,
4,
2,
2,
4,
2,
2,
2,
2,
2,
3,
4,
4,
2,
4,
2,
4,
4,
2,
3,
2,
2,
4,
4,
4,
3,
4,
4,
4,
2,
4,
2,
3,
4,
4,
4,
3,
3,
3,
4,
4,
2,
4,
3,
2,
1,
3,
3,
3,
4,
4,
4,
6,
4,
3,
3,
4,
2,
4,
2,
4,
4,
3,
4,
4,
4,
3,
3,
4,
4,
3,
3,
4,
4,
6,
5,
3,
5,
4,
3,
4,
2,
2,
1,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
4,
2,
3,
2,
3,
4,
2,
4,
2,
3,
2,
2,
4,
4,
2,
2,
3,
3,
3,
6,
6,
4,
3,
3,
3,
3,
4,
2,
2,
3,
2,
4,
5,
3,
4,
4,
5,
5,
4,
2,
2,
2,
4,
4,
3,
3,
2,
8,
3,
2,
3,
4,
4,
4,
5,
4,
5,
4,
2,
2,
2,
5,
5,
4,
4,
4,
4,
4,
2,
3,
4,
5,
7,
8,
4,
3,
3,
3,
6,
6,
1,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
3,
2,
2,
3,
4,
3,
4,
2,
3,
6,
2,
2,
3,
3,
3,
8,
3,
3,
4,
4,
3,
4,
4,
1,
1,
1,
4,
3,
3,
5,
7,
2,
2,
4,
8,
3,
2,
8,
5,
3,
4,
4,
3,
3,
5,
5,
5,
4,
4,
3,
6,
4,
5,
2,
2,
2,
2,
2,
4,
4,
3,
3,
3,
4,
3,
3,
5,
4,
3,
3,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
6,
6,
6,
6,
4,
2,
2,
2,
4,
3,
3,
5,
2,
3,
3,
3,
2,
1,
2,
2,
4,
6,
4,
4,
4,
6,
4,
3,
4,
2,
3,
2,
3,
5,
5,
5,
3,
3,
2,
1,
4,
7,
2,
3,
3,
1,
2,
3,
4,
3,
4,
4,
4,
3,
3,
2,
2,
3,
4,
4,
3,
3,
4,
2,
2,
3,
2,
3,
5,
5,
7,
2,
2,
2,
4,
4,
3,
4,
2,
7,
7,
5,
7,
2,
4,
4,
5,
5,
7,
6,
5,
4,
4,
5,
8,
3,
4,
4,
4,
2,
4,
4,
4,
2,
4,
2,
3,
5,
5,
4,
2,
3,
3,
2,
3,
4,
4,
2,
5,
3,
3,
4,
4,
4,
2,
4,
2,
8,
4,
4,
5,
3,
5,
2,
3,
3,
3,
3,
2,
3,
4,
4,
1,
4,
4,
4,
2,
2,
3,
2,
3,
2,
3,
3,
5,
2,
2,
2,
2,
6,
2,
2,
4,
4,
2,
2,
2,
3,
4,
3,
3,
2,
4,
4,
4,
3,
2,
2,
4,
4,
3,
4,
7,
2,
2,
4,
4,
2,
2,
2,
4,
2,
2,
4,
2,
4,
2,
7,
4,
2,
2,
2,
5,
4,
4,
3,
5,
3,
3,
3,
4,
2,
4,
4,
4,
6,
2,
2,
2,
3,
3,
3,
4,
5,
5,
3,
5,
2,
3,
6,
2,
4,
4,
5,
3,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
7,
4,
5,
3,
3,
3,
3,
3,
2,
3,
2,
4,
3,
3,
3,
4,
3,
4,
2,
3,
3,
4,
4,
2,
4,
2,
2,
3,
4,
4,
4,
3,
2,
3,
2,
2,
2,
5,
3,
2,
3,
4,
2,
4,
4,
4,
3,
3,
3,
4,
2,
4,
2,
6,
3,
6,
5,
6,
2,
2,
4,
4,
1,
3,
2,
3,
4,
4,
2,
4,
4,
3,
3,
6,
3,
2,
3,
3,
4,
2,
2,
2,
2,
2,
6,
7,
4,
3,
3,
5,
6,
2,
3,
4,
4,
4,
2,
4,
4,
6,
4,
4,
2,
4,
3,
4,
4,
4,
2,
2,
2,
1,
4,
5,
5,
4,
3,
3,
2,
3,
4,
4,
2,
3,
4,
4,
3,
3,
3,
3,
4,
4,
4,
3,
2,
4,
3,
4,
3,
3,
3,
3,
2,
3,
3,
3,
2,
3,
2,
4,
2,
4,
4,
4,
4,
6,
2,
3,
2,
2,
3,
4,
2,
3,
2,
3,
2,
2,
2,
1,
4,
4,
3,
2,
2,
4,
5,
6,
5,
3,
2,
5,
2,
3,
4,
3,
2,
4,
3,
4,
3,
4,
2,
2,
4,
4,
2,
2,
5,
3,
3,
3,
3,
2,
2,
2,
3,
2,
6,
3,
4,
4,
4,
4,
2,
3,
4,
3,
4,
4,
4,
4,
4,
3,
3,
4,
3,
5,
2,
5,
5,
2,
4,
4,
5,
3,
2,
4,
3,
2,
4,
3,
3,
4,
4,
2,
5,
6,
5,
2,
6,
2,
2,
4,
2,
2,
4,
6,
4,
3,
6,
3,
5,
3,
6,
4,
4,
4,
4,
2,
3,
3,
2,
3,
2,
4,
3,
2,
2,
3,
3,
2,
2,
2,
4,
4,
4,
4,
5,
2,
4,
2,
4,
4,
4,
7,
2,
3,
4,
5,
4,
2,
3,
1,
4,
3,
4,
3,
3,
3,
3,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
5,
4,
3,
3,
4,
4,
4,
4,
2,
4,
2,
2,
2,
4,
2,
6,
3,
4,
2,
2,
2,
3,
3,
3,
3,
1,
4,
2,
4,
4,
4,
4,
3,
3,
6,
2,
2,
4,
2,
4,
3,
2,
1,
3,
2,
2,
4,
6,
5,
4,
2,
4,
2,
4,
3,
2,
3,
3,
1,
2,
3,
3,
3,
3,
3,
2,
2,
6,
4,
4,
6,
4,
4,
4,
4,
1,
1,
2,
4,
6,
2,
2,
2,
2,
6,
3,
3,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
8,
1,
2,
2,
2,
2,
4,
8,
2,
2,
2,
6,
2,
4,
4,
2,
4,
4,
1,
4,
4,
3,
3,
3,
3,
2,
2,
2,
2,
5,
4,
2,
3,
4,
3,
3,
2,
3,
2,
4,
2,
2,
4,
4,
2,
5,
4,
1,
6,
4,
4,
4,
4,
4,
2,
2,
3,
4,
3,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
4,
5,
3,
4,
2,
3,
7,
2,
2,
4,
2,
3,
3,
2,
4,
5,
2,
2,
4,
2,
4,
4,
4,
3,
3,
3,
5,
3,
2,
2,
4,
4,
4,
5,
6,
4,
4,
4,
4,
2,
2,
3,
8,
2,
4,
2,
4,
4,
4,
2,
2,
2,
5,
3,
4,
4,
4,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
4,
3,
2,
2,
3,
3,
3,
4,
2,
2,
3,
5,
2,
3,
3,
4,
2,
4,
5,
1,
2,
4,
2,
4,
5,
4,
5,
4,
4,
5,
3,
3,
3,
3,
6,
3,
4,
5,
2,
4,
2,
4,
5,
5,
5,
3,
2,
3,
2,
2,
3,
4,
3,
4,
4,
5,
4,
2,
4,
5,
3,
4,
5,
3,
4,
4,
8,
5,
6,
4,
3,
4,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
4,
2,
2,
5,
4,
2,
3,
3,
3,
2,
3,
9,
3,
2,
4,
4,
4,
4,
4,
7,
7,
2,
2,
5,
4,
5,
2,
2,
4,
6,
5,
7,
7,
2,
2,
3,
3,
5,
3,
2,
2,
2,
5,
3,
3,
3,
7,
3,
3,
3,
3,
2,
2,
4,
2,
2,
4,
3,
2,
4,
4,
4,
2,
3,
3,
4,
2,
4,
2,
4,
3,
3,
3,
4,
4,
4,
2,
2,
1,
3,
2,
3,
4,
3,
3,
3,
2,
1,
2,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
6,
4,
3,
3,
3,
4,
4,
6,
4,
4,
4,
2,
4,
4,
3,
3,
2,
2,
3,
3,
3,
4,
4,
4,
4,
2,
1,
2,
3,
3,
2,
2,
6,
4,
4,
4,
4,
4,
2,
2,
4,
3,
4,
4,
5,
2,
3,
2,
4,
3,
3,
4,
4,
4,
2,
4,
4,
4,
6,
6,
2,
5,
3,
4,
4,
4,
3,
4,
4,
4,
3,
1,
5,
2,
3,
3,
4,
4,
4,
4,
4,
4,
3,
2,
3,
3,
3,
2,
2,
4,
8,
3,
2,
3,
2,
4,
4,
2,
4,
2,
2,
4,
4,
3,
2,
4,
4,
2,
2,
4,
3,
4,
2,
4,
2,
5,
4,
3,
4,
4,
3,
3,
3,
4,
2,
2,
3,
3,
3,
3,
2,
4,
4,
2,
3,
3,
4,
4,
3,
2,
2,
3,
6,
2,
2,
3,
3,
4,
6,
2,
3,
3,
3,
2,
4,
2,
2,
4,
4,
3,
4,
3,
5,
3,
2,
2,
3,
3,
9,
4,
4,
4,
4,
4,
7,
4,
2,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
5,
5,
4,
6,
3,
4,
2,
4,
4,
4,
4,
4,
3,
5,
3,
2,
2,
3,
4,
2,
3,
2,
5,
4,
4,
3,
3,
3,
5,
4,
4,
4,
2,
4,
3,
4,
2,
1,
2,
3,
2,
2,
3,
2,
2,
2,
5,
5,
4,
2,
2,
1,
4,
4,
3,
5,
4,
3,
3,
2,
2,
3,
2,
5,
3,
2,
4,
3,
4,
3,
3,
4,
8,
2,
4,
5,
2,
4,
4,
3,
4,
4,
3,
2,
2,
4,
2,
2,
4,
4,
4,
5,
2,
4,
4,
3,
3,
6,
4,
2,
3,
7,
4,
4,
4,
6,
4,
4,
4,
3,
3,
3,
2,
2,
4,
2,
2,
2,
3,
3,
3,
4,
2,
3,
2,
4,
4,
4,
2,
3,
2,
3,
3,
3,
3,
2,
3,
2,
2,
2,
4,
4,
2,
6,
2,
4,
2,
3,
2,
5,
5,
5,
2,
4,
4,
3,
2,
4,
3,
4,
3,
3,
3,
2,
2,
2,
2,
2,
5,
3,
3,
4,
5,
2,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
2,
4,
4,
7,
2,
2,
2,
3,
3,
4,
2,
2,
3,
3,
3,
4,
4,
3,
5,
4,
4,
4,
4,
4,
4,
4,
3,
3,
9,
3,
2,
4,
4,
5,
6,
3,
2,
6,
3,
3,
3,
4,
4,
2,
2,
3,
4,
3,
3,
4,
4,
4,
4,
4,
6,
1,
3,
2,
3,
2,
1,
2,
1,
2,
2,
2,
3,
3,
2,
2,
2,
4,
4,
2,
4,
6,
2,
2,
4,
2,
2,
6,
2,
4,
4,
4,
2,
4,
4,
4,
4,
2,
2,
4,
3,
3,
4,
3,
3,
3,
3,
2,
2,
4,
4,
6,
5,
5,
4,
4,
1,
1,
5,
7,
4,
3,
5,
6,
3,
6,
5,
5,
4,
3,
3,
6,
5,
3,
4,
4,
3,
3,
1,
2,
2,
2,
2,
3,
4,
2,
4,
4,
4,
4,
3,
2,
3,
2,
2,
5,
3,
3,
3,
4,
4,
6,
4,
4,
3,
4,
4,
3,
4,
2,
3,
3,
4,
3,
1,
2,
5,
5,
3,
3,
3,
4,
2,
2,
4,
4,
3,
5,
6,
4,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
7,
4,
4,
4,
3,
4,
4,
2,
2,
2,
2,
3,
2,
2,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
5,
2,
2,
7,
4,
4,
2,
6,
6,
3,
3,
4,
6,
5,
3,
3,
3,
2,
3,
4,
2,
2,
6,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
3,
2,
4,
3,
3,
4,
2,
2,
2,
2,
2,
1,
4,
3,
3,
2,
3,
3,
2,
6,
3,
2,
3,
3,
4,
4,
2,
3,
2,
2,
2,
4,
2,
2,
3,
3,
2,
3,
3,
3,
2,
4,
2,
2,
4,
2,
4,
4,
4,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
3,
3,
3,
3,
4,
1,
3,
2,
2,
2,
4,
4,
4,
5,
2,
2,
2,
3,
3,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
4,
3,
2,
4,
2,
3,
6,
1,
3,
3,
2,
1,
3,
2,
2,
3,
3,
3,
0,
2,
2,
4,
2,
3,
4,
5,
4,
6,
2,
2,
4,
4,
4,
3,
3,
4,
4,
2,
2,
3,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
3,
4,
3,
2,
4,
3,
3,
4,
3,
4,
4,
4,
3,
4,
2,
2,
2,
4,
2,
2,
4,
2,
2,
2,
4,
2,
3,
1,
3,
2,
5,
4,
2,
4,
3,
2,
1,
5,
3,
4,
4,
2,
2,
2,
2,
3,
4,
4,
3,
3,
4,
5,
7,
6,
4,
4,
4,
4,
6,
2,
2,
2,
3,
4,
3,
3,
4,
4,
3,
3,
4,
4,
4,
2,
1,
3,
5,
7,
3,
4,
4,
4,
4,
1,
5,
2,
2,
5,
4,
4,
4,
3,
5,
2,
3,
3,
3,
3,
4,
4,
2,
4,
4,
2,
4,
2,
2,
3,
3,
2,
4,
7,
5,
4,
3,
3,
2,
3,
4,
2,
24,
2,
2,
6,
4,
4,
2,
2,
4,
4,
2,
2,
1,
4,
2,
2,
2,
4,
6,
3,
2,
3,
4,
4,
3,
3,
2,
6,
3,
2,
4,
2,
5,
4,
4,
3,
3,
3,
2,
5,
3,
4,
4,
4,
3,
4,
4,
4,
2,
7,
3,
6,
6,
6,
4,
2,
3,
2,
4,
2,
2,
1,
2,
2,
4,
1,
3,
3,
4,
2,
4,
2,
4,
2,
4,
3,
2,
4,
3,
2,
2,
2,
2,
2,
3,
4,
4,
4,
4,
3,
4,
3,
4,
2,
4,
5,
4,
4,
4,
4,
4,
8,
4,
6,
6,
5,
4,
5,
5,
2,
3,
2,
4,
4,
4,
2,
1,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
6,
2,
2,
3,
2,
5,
3,
3,
3,
3,
4,
2,
8,
4,
4,
4,
3,
3,
3,
2,
4,
3,
5,
2,
7,
3,
2,
2,
2,
3,
3,
2,
6,
4,
3,
4,
2,
2,
4,
2,
4,
4,
7,
4,
4,
4,
4,
4,
2,
2,
3,
3,
3,
2,
3,
3,
4,
2,
2,
5,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
3,
4,
4,
2,
2,
2,
3,
4,
2,
3,
2,
4,
3,
6,
3,
3,
3,
4,
3,
6,
2,
2,
2,
2,
2,
3,
3,
2,
4,
5,
5,
3,
4,
3,
2,
4,
2,
2,
1,
2,
2,
2,
3,
3,
2,
3,
4,
2,
4,
2,
4,
3,
3,
4,
4,
5,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
2,
4,
2,
2,
3,
2,
4,
5,
3,
2,
2,
3,
3,
2,
4,
2,
3,
2,
4,
3,
4,
1,
4,
4,
4,
3,
5,
1,
2,
3,
3,
3,
3,
4,
4,
4,
3,
3,
7,
4,
4,
3,
5,
3,
4,
4,
3,
3,
2,
3,
2,
2,
2,
1,
4,
2,
2,
2,
2,
10,
3,
3,
3,
4,
3,
3,
3,
3,
7,
4,
4,
2,
3,
2,
3,
3,
3,
3,
4,
3,
2,
2,
3,
5,
4,
2,
2,
4,
2,
2,
3,
3,
4,
4,
3,
1,
5,
3,
3,
8,
6,
4,
3,
4,
4,
2,
3,
3,
3,
2,
4,
3,
2,
5,
4,
4,
2,
4,
4,
4,
4,
2,
3,
4,
5,
2,
3,
2,
3,
3,
3,
3,
3,
4,
3,
2,
4,
2,
4,
3,
6,
6,
2,
2,
7,
4,
6,
3,
5,
3,
4,
3,
2,
2,
2,
2,
3,
3,
2,
3,
4,
5,
2,
4,
4,
2,
4,
2,
5,
6,
5,
5,
2,
3,
2,
2,
2,
4,
2,
2,
2,
2,
4,
4,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
5,
4,
4,
4,
3,
1,
2,
3,
3,
3,
4,
4,
4,
4,
3,
2,
3,
3,
3,
4,
4,
4,
3,
3,
3,
4,
2,
6,
4,
3,
4,
3,
4,
6,
6,
4,
3,
3,
6,
4,
2,
4,
2,
2,
2,
4,
4,
3,
4,
4,
5,
4,
6,
4,
2,
2,
4,
2,
3,
4,
3,
4,
2,
2,
3,
4,
2,
3,
4,
4,
8,
4,
4,
2,
2,
3,
3,
2,
2,
4,
2,
2,
3,
3,
3,
4,
3,
5,
2,
4,
3,
2,
4,
4,
3,
4,
3,
5,
4,
3,
4,
4,
4,
4,
4,
4,
6,
2,
4,
4,
4,
2,
2,
5,
2,
2,
4,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
4,
4,
3,
6,
3,
2,
3,
4,
4,
4,
4,
4,
6,
6,
4,
2,
4,
4,
3,
4,
4,
3,
3,
4,
3,
9,
3,
2,
2,
2,
3,
4,
4,
1,
3,
3,
4,
4,
7,
4,
4,
2,
3,
3,
3,
4,
3,
2,
2,
2,
2,
2,
4,
4,
3,
3,
5,
4,
3,
3,
4,
2,
3,
3,
2,
4,
2,
4,
3,
4,
5,
2,
2,
3,
3,
2,
2,
4,
5,
2,
3,
2,
2,
2,
4,
2,
2,
3,
3,
4,
3,
3,
3,
2,
4,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
6,
5,
2,
1,
2,
3,
3,
2,
4,
3,
3,
4,
2,
2,
5,
4,
2,
4,
2,
2,
3,
4,
4,
3,
4,
3,
3,
4,
4,
2,
4,
2,
4,
7,
3,
1,
4,
3,
3,
4,
4,
5,
2,
3,
2,
2,
3,
3,
4,
4,
4,
4,
2,
2,
2,
4,
4,
2,
2,
2,
2,
3,
2,
4,
4,
3,
4,
3,
3,
2,
2,
2,
1,
3,
4,
4,
2,
4,
3,
2,
4,
3,
3,
4,
3,
3,
4,
4,
5,
2,
3,
3,
3,
2,
2,
3,
3,
4,
2,
3,
3,
4,
3,
6,
5,
6,
2,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
3,
4,
5,
4,
4,
4,
3,
3,
2,
2,
2,
3,
3,
4,
3,
4,
2,
3,
4,
2,
4,
3,
2,
4,
5,
5,
4,
4,
2,
2,
4,
2,
4,
4,
4,
4,
3,
3,
4,
3,
3,
3,
3,
1,
2,
2,
1,
2,
3,
2,
2,
4,
4,
5,
4,
3,
2,
4,
4,
3,
3,
2,
2,
4,
3,
4,
3,
4,
6,
1,
1,
2,
3,
3,
3,
3,
3,
3,
2,
6,
3,
4,
4,
5,
3,
4,
4,
3,
4,
5,
2,
2,
2,
4,
2,
2,
2,
2,
3,
4,
4,
4,
3,
2,
3,
3,
4,
5,
4,
4,
4,
4,
4,
2,
5,
7,
6,
3,
2,
3,
3,
2,
4,
2,
2,
2,
2,
4,
3,
3,
2,
4,
3,
2,
3,
3,
2,
4,
3,
2,
2,
3,
3,
2,
2,
4,
3,
4,
2,
4,
2,
2,
2,
6,
2,
3,
3,
5,
3,
2,
2,
3,
4,
4,
3,
3,
3,
3,
4,
4,
4,
4,
1,
1,
3,
3,
2,
2,
4,
3,
2,
2,
3,
5,
4,
4,
2,
4,
4,
4,
3,
2,
1,
4,
4,
6,
1,
4,
2,
2,
3,
2,
3,
4,
4,
2,
4,
4,
3,
2,
5,
2,
4,
3,
4,
4,
5,
5,
5,
2,
5,
3,
3,
3,
2,
2,
3,
4,
2,
4,
4,
3,
2,
2,
2,
4,
4,
1,
4,
4,
2,
2,
2,
2,
5,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
3,
1,
3,
3,
5,
7,
5,
4,
7,
2,
2,
3,
4,
2,
2,
7,
4,
4,
4,
2,
2,
3,
3,
5,
4,
2,
2,
2,
1,
4,
2,
2,
2,
1,
2,
4,
2,
2,
4,
3,
4,
2,
5,
4,
6,
6,
2,
2,
4,
3,
4,
3,
5,
3,
3,
3,
3,
6,
6,
5,
4,
3,
4,
3,
3,
3,
3,
6,
4,
2,
2,
2,
4,
4,
6,
8,
2,
2,
2,
3,
2,
4,
4,
2,
3,
4,
4,
4,
2,
5,
3,
2,
4,
3,
3,
4,
4,
4,
3,
2,
2,
2,
2,
2,
2,
3,
4,
2,
5,
5,
3,
3,
4,
2,
3,
2,
2,
3,
3,
4,
3,
2,
4,
4,
4,
5,
4,
3,
7,
4,
4,
5,
4,
4,
4,
4,
4,
4,
5,
4,
3,
4,
2,
3,
3,
2,
3,
2,
4,
2,
4,
3,
2,
3,
4,
2,
1,
3,
3,
3,
4,
5,
4,
2,
3,
3,
3,
3,
3,
3,
3,
2,
2,
3,
4,
4,
3,
2,
2,
4,
2,
2,
4,
3,
4,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
4,
4,
5,
3,
1,
4,
3,
3,
4,
4,
4,
3,
3,
2,
2,
3,
3,
3,
3,
3,
4,
4,
4,
2,
3,
4,
4,
5,
2,
3,
2,
1,
2,
2,
3,
2,
2,
4,
5,
3,
1,
1,
1,
4,
3,
3,
2,
4,
1,
5,
3,
1,
3,
3,
2,
3,
2,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
2,
3,
4,
4,
3,
3,
4,
5,
4,
4,
2,
2,
3,
5,
5,
4,
3,
2,
3,
5,
4,
2,
2,
2,
3,
3,
2,
4,
4,
4,
3,
3,
3,
4,
4,
3,
3,
4,
4,
4,
2,
3,
6,
2,
4,
6,
5,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
3,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
4,
1,
2,
3,
2,
2,
4,
4,
2,
2,
3,
3,
5,
5,
5,
2,
3,
2,
4,
4,
3,
3,
4,
3,
3,
3,
3,
3,
2,
5,
2,
2,
4,
4,
3,
2,
4,
2,
4,
1,
2,
2,
2,
2,
3,
3,
5,
5,
2,
4,
4,
4,
4,
7,
5,
3,
2,
4,
3,
2,
4,
5,
3,
6,
2,
3,
4,
4,
5,
4,
3,
4,
4,
4,
2,
2,
2,
2,
3,
4,
4,
1,
2,
4,
4,
2,
2,
3,
4,
4,
1,
3,
6,
2,
3,
4,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
5,
3,
4,
3,
2,
3,
4,
3,
6,
3,
3,
2,
5,
6,
4,
4,
3,
2,
2,
4,
3,
3,
3,
3,
3,
2,
2,
6,
4,
7,
2,
4,
4,
4,
2,
4,
2,
2,
3,
5,
4,
6,
3,
4,
2,
2,
3,
2,
4,
3,
3,
3,
4,
4,
2,
2,
3,
3,
3,
2,
2,
3,
4,
4,
4,
4,
4,
1,
3,
5,
3,
4,
3,
4,
4,
3,
4,
3,
5,
2,
3,
3,
3,
2,
3,
5,
3,
2,
3,
3,
1,
3,
3,
3,
4,
4,
8,
1,
5,
5,
6,
3,
3,
1,
6,
3,
2,
3,
2,
4,
3,
6,
2,
2,
2,
4,
4,
4,
4,
2,
3,
5,
8,
6,
6,
4,
4,
2,
2,
2,
1,
2,
3,
4,
4,
4,
4,
3,
4,
5,
4,
3,
1,
3,
2,
2,
3,
2,
3,
4,
1,
2,
2,
4,
4,
5,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
2,
4,
2,
3,
4,
6,
3,
2,
7,
4,
4,
4,
2,
4,
4,
4,
4,
2,
2,
2,
3,
3,
2,
4,
4,
4,
4,
4,
3,
2,
6,
6,
3,
5,
3,
4,
2,
4,
8,
4,
5,
2,
2,
3,
4,
5,
2,
3,
2,
4,
2,
3,
3,
8,
4,
6,
4,
3,
3,
4,
3,
3,
4,
3,
2,
2,
3,
4,
4,
2,
3,
2,
3,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
6,
4,
4,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
2,
4,
4,
2,
9,
5,
2,
4,
4,
3,
2,
4,
2,
3,
3,
2,
5,
5,
3,
4,
4,
5,
5,
2,
4,
4,
4,
4,
2,
4,
2,
2,
4,
3,
2,
5,
4,
4,
2,
2,
3,
3,
3,
4,
3,
2,
3,
3,
4,
3,
4,
6,
4,
4,
3,
3,
3,
4,
3,
8,
7,
4,
4,
4,
4,
4,
4,
2,
4,
2,
5,
2,
3,
4,
3,
3,
3,
2,
4,
4,
4,
3,
2,
2,
4,
3,
7,
4,
4,
3,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
5,
2,
3,
2,
4,
2,
3,
3,
4,
3,
5,
4,
4,
4,
4,
3,
4,
5,
2,
2,
2,
1,
3,
3,
2,
4,
5,
5,
3,
5,
2,
6,
2,
2,
3,
3,
4,
4,
2,
4,
2,
4,
4,
2,
3,
4,
3,
3,
3,
4,
2,
2,
2,
7,
3,
3,
3,
5,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
4,
3,
4,
3,
3,
2,
4,
3,
4,
2,
6,
6,
7,
3,
4,
3,
2,
2,
4,
2,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
2,
4,
4,
5,
6,
5,
2,
3,
3,
2,
2,
4,
2,
3,
4,
4,
4,
3,
4,
4,
1,
4,
4,
4,
7,
3,
7,
7,
3,
3,
2,
2,
1,
2,
2,
3,
2,
4,
2,
3,
3,
4,
4,
4,
4,
3,
3,
4,
2,
4,
4,
3,
5,
4,
2,
2,
3,
3,
4,
5,
4,
4,
3,
3,
2,
3,
4,
4,
4,
4,
4,
3,
2,
2,
4,
4,
4,
3,
2,
1,
3,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
5,
2,
2,
5,
5,
3,
1,
2,
3,
1,
4,
6,
6,
3,
7,
4,
4,
4,
4,
2,
2,
3,
2,
3,
2,
4,
2,
3,
4,
4,
3,
2,
3,
8,
8,
4,
2,
4,
3,
4,
4,
4,
4,
3,
3,
4,
4,
3,
2,
3,
2,
3,
2,
6,
6,
2,
4,
4,
4,
4,
2,
2,
2,
2,
2,
3,
2,
2,
4,
3,
3,
2,
2,
2,
5,
3,
2,
3,
2,
3,
2,
4,
4,
2,
4,
3,
4,
5,
8,
4,
2,
2,
2,
4,
4,
3,
4,
4,
4,
3,
2,
2,
2,
3,
3,
3,
3,
4,
5,
6,
4,
4,
4,
3,
3,
3,
4,
5,
4,
4,
4,
2,
2,
4,
4,
4,
4,
4,
4,
3,
3,
2,
5,
2,
3,
4,
2,
2,
2,
4,
6,
3,
4,
4,
4,
4,
2,
2,
3,
4,
1,
3,
4,
2,
2,
2,
4,
2,
4,
2,
4,
4,
5,
6,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
5,
3,
7,
4,
4,
5,
2,
3,
2,
2,
4,
2,
3,
4,
4,
5,
3,
7,
6,
6,
3,
4,
4,
4,
4,
2,
5,
3,
3,
4,
6,
5,
5,
3,
4,
4,
7,
2,
4,
4,
4,
3,
3,
3,
3,
3,
4,
6,
3,
3,
2,
2,
4,
3,
3,
4,
3,
5,
8,
3,
3,
3,
3,
3,
3,
2,
3,
1,
4,
3,
5,
3,
3,
2,
2,
2,
2,
2,
5,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
6,
4,
6,
6,
4,
3,
4,
4,
4,
2,
2,
2,
4,
5,
4,
4,
3,
2,
2,
2,
3,
2,
2,
3,
3,
2,
2,
4,
5,
5,
4,
4,
2,
4,
4,
7,
3,
4,
3,
3,
3,
3,
2,
4,
3,
2,
1,
2,
2,
6,
6,
3,
6,
6,
5,
7,
2,
3,
4,
4,
2,
3,
2,
2,
8,
4,
3,
3,
3,
4,
4,
4,
4,
8,
2,
4,
2,
4,
3,
2,
2,
2,
1,
4,
4,
1,
3,
3,
4,
5,
4,
5,
2,
2,
3,
3,
4,
2,
2,
2,
3,
2,
2,
3,
2,
3,
2,
2,
2,
3,
7,
4,
2,
2,
4,
3,
2,
4,
2,
8,
4,
4,
2,
9,
2,
3,
2,
3,
2,
4,
4,
2,
2,
3,
3,
5,
2,
2,
4,
4,
5,
4,
5,
6,
3,
3,
5,
2,
2,
3,
4,
4,
1,
3,
2,
2,
3,
4,
3,
2,
2,
2,
4,
2,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
1,
3,
1,
2,
4,
4,
4,
4,
3,
3,
4,
2,
4,
4,
4,
4,
3,
2,
2,
4,
2,
4,
2,
3,
3,
3,
5,
7,
5,
3,
2,
2,
4,
3,
3,
3,
4,
4,
3,
3,
6,
2,
3,
3,
4,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
1,
3,
2,
4,
2,
2,
4,
2,
2,
2,
4,
3,
2,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
6,
3,
4,
4,
4,
3,
3,
2,
3,
4,
3,
3,
3,
3,
4,
6,
6,
4,
2,
3,
6,
4,
4,
4,
4,
2,
4,
4,
4,
6,
4,
7,
3,
3,
4,
4,
2,
4,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
4,
2,
4,
4,
2,
3,
4,
4,
5,
2,
3,
2,
2,
4,
4,
4,
2,
2,
4,
4,
3,
4,
2,
3,
3,
4,
3,
3,
2,
2,
4,
3,
1,
2,
2,
2,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
5,
7,
7,
4,
4,
2,
4,
3,
2,
3,
4,
5,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
2,
7,
3,
4,
4,
2,
4,
4,
3,
6,
4,
2,
2,
4,
2,
2,
3,
3,
3,
4,
4,
4,
3,
3,
3,
3,
2,
3,
3,
4,
4,
2,
2,
4,
4,
4,
4,
3,
3,
4,
3,
4,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
2,
3,
4,
4,
3,
3,
1,
3,
2,
2,
6,
3,
4,
3,
5,
3,
4,
3,
4,
4,
5,
3,
2,
7,
6,
2,
4,
4,
2,
3,
2,
3,
4,
3,
5,
4,
4,
4,
2,
3,
2,
4,
4,
3,
4,
4,
7,
4,
8,
4,
6,
6,
6,
2,
2,
4,
4,
8,
2,
2,
2,
3,
3,
1,
3,
4,
4,
3,
3,
4,
2,
4,
2,
3,
4,
2,
3,
2,
4,
2,
2,
4,
4,
6,
3,
2,
4,
4,
3,
2,
2,
5,
2,
2,
3,
4,
6,
4,
3,
3,
3,
3,
2,
2,
1,
2,
2,
5,
2,
3,
4,
3,
4,
2,
3,
2,
4,
3,
3,
3,
2,
4,
4,
3,
3,
3,
4,
4,
4,
4,
3,
3,
5,
5,
4,
2,
4,
4,
7,
3,
4,
2,
2,
2,
4,
5,
4,
5,
6,
3,
6,
3,
5,
4,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
5,
3,
3,
3,
4,
4,
4,
4,
5,
4,
4,
4,
3,
4,
6,
3,
4,
4,
4,
4,
3,
4,
3,
7,
7,
3,
4,
5,
4,
4,
4,
2,
2,
2,
4,
3,
4,
4,
5,
4,
4,
5,
3,
2,
2,
5,
3,
2,
2,
5,
4,
2,
2,
4,
3,
4,
4,
3,
5,
3,
2,
4,
4,
3,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
6,
2,
2,
2,
3,
4,
3,
2,
2,
2,
3,
5,
4,
4,
4,
3,
3,
4,
3,
2,
2,
4,
3,
5,
3,
4,
2,
4,
4,
4,
4,
3,
2,
4,
2,
4,
4,
4,
3,
3,
3,
2,
7,
4,
2,
2,
2,
2,
2,
3,
5,
6,
5,
4,
4,
5,
5,
2,
4,
3,
3,
3,
4,
4,
3,
2,
2,
4,
4,
4,
3,
4,
4,
4,
2,
3,
2,
3,
7,
3,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
4,
5,
4,
2,
4,
8,
4,
4,
5,
2,
4,
4,
2,
2,
5,
2,
2,
3,
5,
4,
4,
4,
2,
4,
2,
4,
2,
5,
6,
3,
2,
4,
4,
3,
6,
4,
4,
4,
3,
6,
3,
5,
4,
3,
4,
4,
4,
4,
2,
2,
5,
2,
3,
3,
3,
4,
2,
3,
6,
3,
3,
3,
5,
4,
5,
4,
2,
4,
6,
6,
4,
5,
4,
2,
4,
2,
4,
4,
6,
3,
3,
2,
3,
4,
3,
3,
4,
2,
2,
2,
2,
3,
3,
4,
4,
2,
2,
4,
4,
4,
2,
3,
2,
2,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
4,
4,
3,
4,
2,
2,
4,
4,
3,
5,
8,
7,
3,
2,
3,
4,
5,
2,
2,
3,
3,
2,
7,
7,
7,
5,
2,
3,
3,
4,
2,
2,
3,
3,
3,
4,
7,
4,
4,
4,
2,
2,
4,
2,
3,
2,
2,
4,
4,
5,
5,
2,
3,
3,
4,
5,
3,
6,
3,
2,
4,
2,
2,
3,
4,
4,
2,
2,
4,
4,
2,
2,
3,
5,
7,
3,
2,
5,
4,
4,
3,
7,
3,
4,
5,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
6,
2,
5,
2,
2,
3,
3,
3,
4,
5,
4,
4,
4,
4,
4,
2,
3,
4,
5,
2,
3,
3,
1,
2,
3,
4,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
1,
2,
3,
3,
3,
2,
8,
3,
2,
3,
2,
6,
7,
7,
2,
4,
3,
6,
3,
4,
4,
3,
4,
3,
3,
5,
6,
4,
3,
3,
3,
6,
4,
4,
2,
4,
2,
3,
4,
3,
8,
6,
4,
3,
3,
3,
4,
3,
2,
3,
2,
3,
2,
2,
2,
2,
4,
2,
2,
4,
4,
4,
3,
4,
4,
4,
4,
2,
4,
3,
5,
4,
4,
3,
3,
5,
4,
3,
3,
2,
3,
3,
3,
3,
2,
4,
3,
4,
2,
3,
4,
2,
5,
5,
3,
5,
4,
4,
4,
5,
6,
2,
3,
7,
4,
3,
3,
2,
2,
3,
4,
2,
4,
4,
4,
4,
3,
3,
6,
10,
3,
3,
4,
4,
5,
5,
4,
3,
3,
4,
4,
4,
3,
4,
3,
5,
2,
3,
3,
3,
2,
2,
3,
3,
2,
2,
3,
2,
3,
3,
1,
2,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
4,
3,
2,
3,
4,
4,
3,
4,
3,
4,
7,
4,
3,
5,
3,
3,
4,
2,
2,
1,
1,
4,
3,
3,
3,
1,
4,
8,
4,
4,
4,
4,
3,
2,
4,
2,
2,
2,
2,
3,
5,
4,
3,
5,
3,
4,
4,
3,
3,
4,
2,
2,
4,
4,
6,
2,
2,
5,
2,
2,
2,
3,
3,
3,
5,
3,
3,
3,
4,
3,
8,
6,
3,
4,
4,
4,
4,
4,
2,
4,
4,
4,
2,
4,
2,
4,
2,
2,
2,
1,
4,
3,
3,
4,
2,
4,
4,
5,
2,
4,
5,
3,
3,
3,
4,
3,
3,
5,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
3,
3,
3,
5,
2,
3,
4,
4,
4,
4,
2,
3,
3,
4,
5,
5,
4,
4,
4,
4,
3,
2,
5,
2,
2,
3,
2,
4,
2,
2,
2,
5,
3,
4,
5,
2,
2,
8,
3,
3,
2,
4,
4,
6,
2,
2,
2,
3,
3,
3,
4,
3,
3,
3,
4,
4,
3,
3,
3,
3,
4,
1,
1,
4,
5,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
3,
2,
4,
3,
3,
3,
3,
2,
7,
2,
3,
3,
3,
2,
4,
4,
4,
3,
3,
3,
3,
5,
5,
3,
4,
3,
3,
5,
4,
7,
4,
3,
2,
4,
4,
4,
4,
4,
3,
3,
4,
5,
3,
5,
2,
5,
5,
2,
2,
5,
4,
4,
4,
2,
4,
4,
5,
3,
4,
4,
4,
3,
4,
4,
5,
4,
4,
7,
2,
4,
2,
2,
3,
2,
3,
3,
4,
4,
4,
3,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
2,
4,
3,
3,
4,
3,
6,
3,
4,
1,
1,
3,
2,
2,
4,
3,
4,
2,
2,
3,
2,
4,
4,
3,
7,
3,
4,
4,
2,
2,
2,
3,
2,
2,
3,
3,
9,
3,
3,
2,
2,
3,
2,
3,
3,
4,
1,
2,
2,
2,
5,
3,
3,
3,
4,
4,
3,
3,
2,
1,
8,
3,
3,
5,
4,
4,
3,
3,
6,
3,
4,
2,
5,
4,
2,
3,
4,
2,
2,
3,
2,
2,
3,
4,
4,
2,
2,
2,
2,
3,
3,
2,
3,
3,
4,
4,
4,
3,
3,
3,
3,
2,
6,
3,
4,
6,
3,
3,
4,
4,
4,
2,
3,
3,
2,
4,
7,
2,
2,
2,
5,
3,
4,
3,
2,
2,
2,
3,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
5,
2,
3,
3,
6,
4,
3,
3,
5,
2,
4,
3,
4,
6,
2,
2,
2,
3,
2,
4,
3,
5,
4,
4,
3,
2,
2,
2,
4,
4,
4,
4,
4,
3,
6,
4,
4,
5,
4,
2,
2,
3,
3,
3,
4,
4,
2,
3,
4,
4,
3,
4,
2,
4,
4,
2,
2,
5,
2,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
3,
3,
2,
3,
4,
2,
4,
3,
4,
4,
4,
3,
4,
3,
4,
5,
3,
2,
2,
4,
5,
4,
3,
3,
4,
4,
4,
2,
2,
8,
4,
4,
4,
4,
3,
3,
3,
4,
4,
5,
4,
3,
3,
3,
3,
3,
3,
5,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
4,
8,
4,
4,
3,
6,
4,
3,
1,
2,
2,
3,
2,
4,
2,
4,
4,
4,
4,
2,
2,
2,
6,
7,
3,
5,
2,
3,
2,
2,
2,
2,
3,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
2,
2,
4,
4,
4,
4,
2,
4,
4,
3,
3,
2,
4,
3,
3,
3,
7,
7,
3,
4,
4,
5,
1,
4,
2,
4,
2,
2,
4,
4,
4,
2,
2,
4,
4,
3,
1,
2,
3,
3,
3,
3,
3,
4,
3,
3,
3,
3,
2,
4,
2,
4,
2,
4,
4,
3,
3,
4,
2,
2,
4,
4,
3,
2,
2,
2,
6,
3,
3,
2,
3,
5,
4,
3,
2,
4,
4,
3,
2,
2,
3,
3,
4,
4,
2,
2,
2,
2,
4,
2,
4,
2,
2,
3,
3,
4,
2,
3,
2,
2,
6,
3,
2,
4,
2,
3,
3,
3,
2,
4,
2,
3,
3,
3,
2,
4,
4,
5,
4,
4,
2,
3,
2,
4,
4,
7,
4,
2,
4,
2,
2,
3,
3,
2,
2,
4,
5,
3,
4,
2,
2,
3,
3,
2,
6,
4,
4,
4,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
2,
4,
2,
2,
2,
2,
4,
2,
4,
4,
4,
2,
3,
3,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
5,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
4,
2,
4,
2,
4,
4,
2,
4,
3,
4,
2,
6,
3,
2,
4,
5,
5,
3,
3,
2,
3,
5,
5,
2,
2,
2,
3,
3,
4,
2,
2,
4,
4,
2,
2,
2,
3,
4,
3,
2,
8,
4,
2,
2,
2,
3,
4,
2,
4,
4,
2,
3,
2,
2,
4,
4,
2,
2,
3,
2,
4,
3,
2,
2,
2,
2,
3,
4,
4,
2,
4,
4,
1,
2,
4,
4,
4,
4,
3,
4,
4,
2,
3,
7,
2,
2,
4,
4,
4,
1,
4,
4,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
4,
3,
6,
2,
3,
2,
2,
6,
6,
4,
2,
3,
3,
2,
2,
2,
2,
5,
4,
2,
2,
6,
3,
3,
3,
3,
4,
2,
3,
4,
4,
4,
3,
3,
2,
2,
3,
2,
3,
5,
3,
4,
3,
4,
6,
4,
4,
2,
4,
3,
4,
4,
4,
4,
3,
4,
4,
1,
2,
3,
5,
6,
1,
4,
6,
2,
4,
4,
5,
4,
4,
4,
2,
7,
6,
4,
3,
4,
4,
4,
6,
6,
5,
2,
4,
2,
3,
2,
2,
2,
2,
4,
4,
2,
5,
5,
4,
3,
4,
4,
3,
4,
4,
2,
7,
2,
5,
2,
8,
4,
4,
3,
4,
4,
2,
2,
5,
2,
1,
2,
2,
3,
4,
4,
5,
2,
2,
3,
4,
3,
3,
3,
3,
4,
4,
1,
4,
4,
4,
4,
3,
4,
4,
2,
2,
3,
4,
4,
2,
1,
2,
3,
2,
5,
4,
4,
5,
2,
2,
2,
7,
7,
3,
2,
2,
4,
6,
2,
4,
5,
4,
4,
3,
2,
4,
6,
4,
4,
2,
4,
4,
4,
4,
4,
4,
3,
5,
3,
2,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
3,
2,
2,
3,
4,
5,
5,
4,
1,
4,
6,
4,
3,
3,
5,
2,
2,
2,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
2,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
5,
2,
5,
4,
4,
4,
2,
4,
4,
4,
3,
2,
4,
5,
4,
5,
2,
1,
2,
3,
3,
3,
3,
3,
4,
4,
5,
5,
5,
5,
7,
3,
2,
4,
2,
4,
4,
2,
4,
4,
6,
6,
2,
6,
6,
4,
2,
1,
3,
3,
3,
3,
3,
3,
3,
3,
5,
6,
7,
3,
3,
4,
4,
2,
4,
5,
3,
3,
3,
3,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
3,
3,
5,
1,
2,
3,
6,
4,
4,
4,
2,
6,
7,
2,
2,
8,
5,
4,
8,
8,
3,
6,
3,
6,
2,
3,
2,
2,
4,
5,
3,
4,
2,
2,
2,
4,
4,
2,
3,
3,
3,
2,
4,
3,
4,
2,
2,
5,
3,
4,
8,
2,
6,
2,
3,
3,
2,
2,
2,
2,
3,
4,
4,
2,
5,
6,
4,
4,
2,
4,
4,
4,
3,
3,
2,
3,
2,
4,
2,
2,
2,
4,
4,
5,
6,
4,
4,
3,
3,
4,
3,
4,
2,
4,
2,
2,
2,
2,
2,
3,
6,
2,
3,
4,
4,
2,
3,
4,
2,
2,
3,
2,
2,
2,
2,
4,
4,
3,
2,
3,
3,
4,
4,
4,
7,
3,
2,
2,
4,
2,
3,
3,
4,
3,
2,
2,
8,
3,
6,
3,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
3,
4,
4,
3,
4,
2,
3,
3,
4,
4,
4,
4,
5,
5,
3,
1,
2,
4,
3,
2,
2,
2,
2,
3,
4,
4,
8,
3,
3,
5,
3,
4,
4,
3,
4,
5,
5,
2,
2,
2,
3,
2,
4,
4,
3,
2,
2,
2,
2,
4,
2,
2,
4,
4,
4,
3,
2,
6,
2,
6,
6,
4,
4,
3,
4,
6,
3,
1,
2,
4,
1,
4,
3,
2,
3,
5,
3,
2,
4,
2,
4,
4,
4,
3,
2,
4,
4,
6,
2,
4,
1,
4,
5,
2,
4,
4,
4,
4,
4,
3,
4,
4,
5,
6,
4,
6,
2,
3,
3,
4,
4,
1,
1,
4,
6,
3,
3,
2,
5,
3,
3,
3,
3,
4,
3,
4,
5,
5,
2,
2,
2,
3,
3,
6,
1,
2,
3,
2,
3,
3,
4,
4,
4,
4,
4,
4,
3,
3,
4,
6,
2,
4,
4,
4,
2,
3,
3,
3,
3,
2,
2,
2,
3,
4,
5,
4,
2,
2,
3,
4,
4,
2,
3,
6,
4,
4,
2,
2,
2,
2,
2,
2,
4,
5,
4,
1,
2,
5,
3,
4,
1,
4,
6,
2,
3,
2,
2,
4,
4,
4,
3,
2,
3,
3,
3,
3,
3,
3,
2,
3,
2,
2,
1,
3,
3,
4,
4,
4,
6,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
2,
3,
3,
2,
5,
2,
4,
4,
3,
4,
5,
4,
4,
2,
4,
4,
3,
3,
4,
2,
4,
2,
4,
5,
3,
3,
2,
4,
2,
3,
4,
3,
3,
4,
3,
4,
4,
2,
7,
3,
4,
4,
2,
2,
3,
6,
4,
3,
2,
3,
2,
2,
2,
3,
2,
3,
2,
4,
3,
4,
3,
3,
3,
3,
3,
3,
4,
3,
3,
2,
2,
1,
4,
2,
2,
7,
5,
4,
3,
4,
5,
4,
2,
3,
3,
2,
3,
2,
4,
3,
2,
3,
3,
5,
3,
3,
4,
4,
5,
5,
4,
4,
4,
3,
3,
3,
5,
5,
4,
3,
4,
4,
4,
4,
4,
3,
2,
3,
3,
1,
2,
2,
4,
3,
3,
4,
4,
2,
2,
3,
3,
4,
4,
4,
2,
2,
6,
3,
3,
2,
2,
2,
5,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
7,
3,
3,
3,
5,
3,
2,
4,
4,
2,
2,
4,
4,
4,
4,
6,
4,
4,
2,
4,
2,
3,
4,
3,
3,
2,
4,
4,
4,
2,
3,
4,
4,
4,
4,
4,
2,
2,
8,
5,
2,
4,
2,
4,
4,
3,
3,
4,
6,
3,
3,
3,
5,
3,
7,
3,
5,
4,
3,
2,
2,
2,
3,
2,
2,
6,
3,
6,
7,
7,
3,
1,
4,
3,
5,
3,
5,
4,
3,
5,
4,
4,
2,
2,
2,
6,
3,
2,
4,
3,
3,
2,
2,
2,
3,
3,
2,
3,
3,
2,
2,
3,
4,
2,
2,
2,
4,
3,
2,
4,
4,
4,
4,
3,
1,
4,
4,
4,
4,
2,
3,
2,
4,
5,
4,
3,
3,
2,
3,
4,
4,
6,
3,
4,
3,
3,
4,
2,
2,
2,
3,
3,
3,
2,
3,
5,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
2,
4,
3,
2,
2,
5,
2,
4,
6,
3,
3,
3,
3,
2,
3,
4,
4,
3,
3,
4,
3,
4,
3,
4,
2,
4,
4,
3,
3,
4,
4,
2,
2,
4,
4,
4,
4,
4,
3,
3,
4,
3,
3,
3,
2,
2,
2,
4,
3,
3,
4,
2,
3,
4,
3,
4,
3,
3,
3,
4,
3,
3,
3,
2,
7,
2,
2,
5,
1,
2,
3,
4,
4,
4,
4,
2,
2,
6,
6,
2,
4,
3,
3,
3,
4,
4,
4,
3,
4,
4,
4,
3,
7,
3,
5,
3,
3,
3,
3,
2,
4,
4,
2,
5,
2,
5,
4,
4,
4,
2,
2,
3,
3,
4,
6,
5,
4,
3,
2,
4,
2,
3,
4,
4,
4,
2,
2,
2,
2,
3,
2,
1,
3,
3,
5,
4,
4,
4,
4,
3,
5,
3,
2,
2,
5,
4,
3,
4,
5,
5,
5,
2,
4,
4,
4,
3,
4,
4,
4,
3,
2,
4,
2,
2,
4,
3,
3,
3,
3,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
5,
3,
2,
3,
3,
3,
4,
5,
5,
2,
2,
2,
3,
3,
3,
4,
2,
3,
3,
4,
2,
4,
4,
5,
4,
4,
3,
2,
2,
4,
3,
4,
4,
3,
3,
4,
4,
5,
2,
3,
2,
8,
1,
4,
6,
4,
5,
4,
2,
3,
2,
3,
3,
3,
3,
5,
4,
4,
4,
4,
5,
3,
3,
5,
6,
4,
4,
4,
4,
3,
4,
2,
4,
4,
4,
4,
8,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
5,
2,
3,
3,
3,
4,
6,
4,
4,
2,
8,
8,
4,
3,
4,
7,
3,
2,
2,
3,
2,
2,
2,
4,
2,
2,
3,
3,
4,
6,
3,
3,
4,
4,
4,
4,
2,
4,
4,
4,
4,
7,
5,
3,
4,
4,
4,
5,
2,
4,
3,
3,
6,
2,
2,
4,
7,
5,
3,
2,
4,
4,
4,
4,
5,
5,
1,
2,
3,
3,
2,
1,
3,
3,
2,
2,
4,
2,
6,
5,
4,
4,
4,
4,
3,
2,
2,
4,
2,
4,
3,
5,
4,
4,
5,
2,
4,
3,
2,
3,
5,
2,
4,
7,
2,
4,
3,
2,
4,
4,
4,
4,
2,
4,
6,
4,
4,
4,
4,
2,
3,
1,
5,
4,
3,
3,
3,
4,
4,
4,
2,
3,
2,
4,
4,
4,
4,
1,
3,
3,
4,
2,
2,
4,
4,
3,
2,
4,
4,
3,
2,
3,
2,
5,
3,
2,
4,
6,
6,
3,
2,
2,
5,
3,
2,
4,
3,
2,
4,
2,
5,
3,
4,
3,
4,
4,
4,
4,
3,
3,
4,
2,
2,
3,
2,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
5,
5,
5,
4,
4,
5,
10,
2,
5,
3,
2,
3,
2,
4,
2,
4,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
4,
4,
3,
3,
3,
5,
5,
7,
3,
6,
4,
4,
2,
2,
2,
3,
3,
2,
7,
4,
3,
5,
7,
2,
3,
3,
3,
3,
3,
4,
4,
2,
4,
2,
4,
2,
3,
3,
2,
4,
4,
2,
2,
2,
2,
2,
5,
5,
3,
4,
1,
3,
6,
2,
4,
2,
3,
4,
4,
3,
4,
4,
3,
2,
4,
5,
4,
4,
2,
2,
3,
2,
6,
3,
6,
2,
2,
7,
7,
3,
5,
3,
2,
2,
3,
3,
3,
4,
5,
3,
3,
2,
2,
4,
4,
4,
4,
4,
2,
4,
5,
4,
4,
3,
3,
3,
2,
4,
3,
4,
2,
3,
2,
3,
3,
3,
2,
2,
4,
4,
3,
5,
2,
4,
4,
4,
2,
3,
3,
5,
2,
2,
1,
5,
3,
3,
6,
3,
3,
3,
4,
3,
4,
7,
4,
4,
2,
2,
2,
3,
3,
3,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
5,
6,
4,
5,
2,
4,
4,
3,
3,
4,
4,
4,
4,
4,
2,
3,
2,
4,
3,
4,
4,
4,
3,
2,
2,
3,
2,
3,
3,
4,
4,
3,
4,
2,
3,
3,
3,
3,
3,
3,
4,
6,
4,
3,
3,
7,
2,
7,
4,
4,
2,
4,
2,
6,
5,
3,
2,
2,
4,
3,
2,
4,
3,
2,
6,
2,
4,
2,
5,
4,
3,
4,
4,
4,
2,
4,
2,
3,
4,
4,
4,
4,
3,
5,
4,
3,
2,
3,
4,
4,
4,
4,
2,
3,
3,
3,
4,
4,
3,
4,
5,
4,
3,
3,
7,
3,
5,
3,
3,
3,
3,
4,
3,
5,
4,
3,
3,
7,
4,
2,
4,
3,
2,
5,
3,
2,
4,
6,
2,
4,
3,
4,
4,
4,
5,
4,
4,
2,
4,
3,
2,
4,
4,
4,
4,
4,
8,
4,
2,
2,
3,
2,
3,
3,
1,
4,
4,
2,
4,
7,
4,
3,
6,
4,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
2,
4,
4,
4,
4,
4,
3,
3,
3,
5,
4,
4,
2,
2,
2,
3,
2,
3,
4,
2,
3,
4,
4,
4,
4,
2,
2,
2,
6,
2,
1,
2,
4,
4,
6,
2,
5,
7,
5,
3,
3,
3,
3,
3,
4,
3,
3,
4,
1,
4,
1,
5,
2,
2,
2,
2,
2,
2,
5,
6,
3,
4,
4,
2,
4,
4,
3,
2,
2,
2,
4,
2,
2,
4,
2,
4,
2,
3,
4,
5,
5,
2,
2,
2,
4,
3,
4,
3,
2,
7,
3,
5,
4,
4,
4,
4,
7,
3,
4,
3,
4,
4,
2,
2,
2,
3,
4,
4,
5,
4,
2,
4,
4,
5,
4,
4,
3,
2,
3,
3,
4,
4,
2,
3,
3,
4,
3,
4,
4,
4,
3,
3,
2,
3,
3,
3,
2,
5,
5,
2,
4,
4,
2,
2,
2,
2,
2,
2,
4,
2,
2,
1,
3,
3,
4,
5,
3,
6,
2,
3,
2,
4,
4,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
5,
4,
4,
4,
2,
4,
4,
7,
4,
4,
2,
2,
2,
2,
7,
6,
4,
1,
2,
3,
4,
3,
4,
4,
4,
3,
4,
3,
4,
4,
4,
4,
4,
3,
6,
3,
2,
4,
4,
5,
5,
4,
4,
4,
4,
4,
2,
5,
3,
3,
4,
3,
3,
3,
4,
4,
3,
4,
5,
4,
5,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
4,
2,
4,
4,
2,
2,
5,
6,
3,
3,
3,
5,
2,
2,
5,
3,
4,
2,
4,
3,
3,
3,
4,
4,
4,
6,
6,
4,
4,
4,
6,
3,
3,
2,
2,
4,
4,
3,
2,
5,
3,
4,
2,
4,
5,
3,
5,
3,
4,
4,
4,
4,
3,
4,
1,
4,
7,
4,
4,
2,
4,
4,
4,
5,
3,
3,
2,
4,
2,
1,
2,
6,
2,
2,
2,
4,
4,
5,
4,
4,
4,
4,
5,
6,
3,
3,
3,
3,
4,
4,
4,
3,
5,
4,
4,
2,
3,
2,
7,
3,
2,
3,
3,
4,
2,
2,
2,
4,
1,
4,
2,
2,
2,
6,
2,
2,
2,
6,
4,
3,
4,
4,
4,
4,
3,
3,
2,
6,
3,
4,
4,
3,
2,
4,
7,
3,
5,
2,
2,
2,
2,
4,
3,
2,
3,
2,
2,
5,
3,
2,
3,
6,
3,
1,
3,
4,
4,
6,
2,
4,
4,
3,
3,
4,
2,
6,
4,
2,
5,
6,
5,
8,
4,
5,
4,
4,
5,
4,
3,
4,
4,
4,
5,
3,
3,
4,
4,
2,
2,
2,
4,
2,
4,
5,
6,
2,
2,
2,
4,
3,
3,
3,
5,
2,
3,
2,
2,
4,
3,
3,
3,
6,
3,
4,
4,
3,
2,
3,
4,
5,
4,
4,
5,
4,
4,
3,
4,
3,
5,
7,
4,
2,
2,
4,
3,
2,
4,
5,
2,
3,
2,
2,
3,
3,
3,
3,
3,
5,
2,
2,
2,
3,
4,
2,
2,
3,
2,
6,
3,
3,
3,
4,
5,
3,
6,
2,
4,
6,
3,
4,
4,
4,
4,
3,
3,
3,
2,
2,
4,
4,
3,
2,
5,
2,
2,
2,
5,
2,
2,
2,
2,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
2,
2,
3,
4,
3,
4,
2,
4,
4,
4,
2,
4,
2,
4,
4,
3,
3,
8,
3,
4,
2,
3,
2,
2,
2,
3,
3,
2,
3,
4,
3,
3,
8,
2,
3,
3,
4,
3,
4,
7,
2,
4,
4,
2,
3,
4,
4,
3,
4,
4,
4,
4,
4,
3,
3,
3,
6,
2,
2,
5,
5,
3,
2,
3,
3,
2,
2,
5,
4,
2,
4,
5,
4,
4,
3,
3,
3,
4,
3,
4,
2,
4,
2,
6,
2,
4,
4,
4,
4,
4,
5,
4,
3,
2,
3,
4,
4,
5,
5,
2,
4,
3,
4,
2,
3,
3,
3,
5,
4,
6,
4,
2,
2,
6,
3,
4,
5,
3,
3,
4,
4,
4,
4,
5,
3,
3,
5,
3,
2,
2,
3,
3,
4,
3,
6,
5,
2,
4,
2,
2,
2,
4,
4,
5,
5,
4,
2,
2,
3,
3,
3,
3,
2,
3,
2,
4,
2,
2,
2,
2,
3,
4,
5,
4,
2,
6,
6,
4,
4,
2,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
3,
6,
2,
4,
4,
3,
2,
4,
3,
5,
3,
2,
4,
4,
4,
3,
4,
2,
4,
4,
2,
2,
2,
2,
4,
4,
2,
2,
3,
4,
4,
2,
3,
4,
4,
3,
2,
6,
4,
2,
3,
3,
2,
2,
4,
3,
4,
4,
2,
2,
4,
4,
4,
5,
4,
7,
4,
4,
5,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
4,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
4,
2,
2,
3,
2,
2,
3,
2,
3,
4,
4,
4,
3,
8,
2,
5,
6,
6,
5,
4,
3,
3,
2,
4,
4,
5,
5,
5,
3,
3,
3,
3,
3,
3,
4,
8,
4,
4,
4,
8,
7,
3,
3,
4,
3,
6,
2,
2,
2,
4,
7,
4,
7,
4,
3,
2,
3,
7,
4,
3,
2,
7,
3,
3,
4,
3,
2,
3,
2,
2,
4,
2,
5,
3,
4,
5,
5,
3,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
5,
2,
4,
2,
3,
2,
3,
2,
4,
4,
3,
3,
4,
4,
4,
5,
5,
5,
3,
3,
2,
2,
2,
2,
3,
3,
4,
4,
4,
4,
5,
3,
3,
4,
5,
4,
3,
4,
4,
4,
3,
4,
4,
4,
4,
4,
4,
4,
2,
4,
6,
3,
2,
3,
2,
2,
4,
3,
6,
4,
4,
3,
2,
2,
2,
4,
3,
4,
3,
4,
3,
3,
5,
2,
2,
2,
3,
2,
2,
5,
7,
4,
3,
4,
4,
3,
5,
5,
4,
3,
2,
3,
4,
4,
4,
4,
3,
3,
4,
2,
2,
4,
4,
2,
3,
4,
2,
3,
4,
4,
3,
3,
3,
4,
4,
2,
1,
2,
3,
3,
4,
2,
4,
6,
5,
4,
4,
4,
4,
4,
4,
4,
5,
6,
2,
3,
4,
6,
3,
5,
2,
4,
6,
6,
2,
2,
4,
2,
5,
4,
3,
3,
5,
2,
2,
1,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
4,
2,
4,
4,
5,
4,
5,
2,
4,
3,
3,
4,
4,
4,
4,
2,
4,
2,
3,
3,
3,
2,
3,
3,
3,
4,
4,
6,
3,
2,
2,
2,
2,
4,
4,
4,
6,
3,
3,
4,
2,
5,
3,
3,
4,
4,
2,
2,
2,
3,
2,
4,
6,
4,
5,
6,
3,
4,
5,
5,
2,
2,
3,
3,
2,
5,
2,
2,
2,
3,
5,
5,
4,
2,
4,
4,
4,
3,
3,
4,
4,
3,
4,
4,
4,
3,
3,
4,
4,
3,
2,
2,
2,
3,
4,
4,
4,
4,
2,
4,
4,
3,
3,
4,
4,
4,
3,
2,
3,
4,
3,
3,
2,
4,
4,
4,
6,
4,
4,
2,
3,
4,
2,
3,
3,
2,
2,
3,
3,
5,
4,
2,
2,
3,
4,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
5,
3,
4,
2,
4,
3,
4,
4,
7,
4,
4,
4,
4,
4,
3,
2,
6,
4,
4,
4,
4,
3,
5,
5,
5,
3,
4,
4,
2,
2,
3,
4,
3,
4,
4,
2,
3,
4,
4,
3,
4,
4,
2,
4,
2,
6,
4,
5,
3,
3,
6,
2,
6,
3,
6,
3,
5,
5,
6,
6,
6,
2,
2,
4,
4,
4,
2,
4,
4,
2,
4,
4,
2,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
4,
4,
5,
2,
4,
5,
4,
3,
4,
4,
3,
4,
3,
5,
6,
4,
4,
3,
4,
4,
5,
4,
4,
2,
6,
2,
2,
4,
4,
4,
4,
4,
4,
10,
4,
3,
4,
4,
4,
4,
4,
4,
3,
3,
2,
4,
4,
4,
4,
6,
4,
4,
4,
3,
4,
3,
2,
4,
4,
5,
2,
2,
3,
3,
2,
3,
3,
3,
3,
6,
3,
2,
4,
3,
2,
4,
4,
4,
4,
4,
6,
3,
3,
5,
5,
5,
2,
3,
3,
3,
3,
4,
3,
4,
4,
3,
3,
2,
2,
3,
7,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
6,
6,
3,
3,
4,
4,
4,
4,
5,
4,
5,
6,
5,
2,
3,
5,
4,
4,
2,
2,
2,
4,
4,
2,
2,
2,
2,
4,
3,
4,
4,
1,
4,
4,
3,
4,
4,
3,
4,
2,
4,
3,
7,
4,
3,
2,
4,
4,
5,
2,
3,
6,
4,
3,
6,
3,
3,
3,
3,
4,
5,
4,
4,
4,
3,
3,
2,
3,
6,
3,
3,
2,
4,
4,
4,
3,
3,
5,
3,
3,
4,
3,
1,
5,
3,
4,
3,
3,
2,
7,
3,
4,
2,
2,
2,
5,
7,
3,
5,
5,
2,
4,
4,
3,
2,
5,
5,
4,
2,
2,
4,
4,
4,
4,
4,
3,
3,
3,
2,
3,
3,
3,
6,
5,
4,
2,
3,
3,
3,
4,
3,
4,
4,
4,
3,
2,
3,
3,
5,
6,
5,
3,
4,
4,
2,
2,
2,
3,
4,
4,
2,
3,
4,
3,
4,
3,
2,
4,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
3,
3,
3,
5,
4,
2,
2,
2,
5,
4,
4,
4,
4,
3,
3,
3,
3,
2,
3,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
2,
4,
3,
4,
3,
4,
5,
6,
3,
3,
3,
2,
4,
3,
4,
2,
4,
4,
3,
6,
2,
4,
9,
2,
3,
3,
2,
3,
2,
3,
5,
5,
2,
2,
4,
4,
3,
3,
2,
2,
2,
4,
4,
4,
5,
5,
5,
5,
2,
4,
5,
4,
4,
4,
4,
3,
3,
2,
3,
7,
3,
3,
2,
2,
4,
2,
2,
4,
2,
7,
5,
3,
5,
4,
4,
4,
3,
3,
3,
5,
2,
2,
3,
6,
6,
3,
4,
4,
4,
4,
6,
4,
3,
2,
4,
2,
4,
2,
4,
5,
4,
5,
4,
3,
9,
4,
4,
4,
5,
4,
3,
4,
4,
3,
2,
3,
4,
4,
3,
2,
3,
2,
2,
2,
3,
3,
3,
3,
4,
4,
3,
3,
4,
4,
4,
3,
3,
2,
2,
2,
3,
3,
3,
2,
1,
7,
3,
6,
3,
3,
2,
2,
3,
3,
4,
2,
2,
4,
2,
7,
2,
4,
5,
3,
4,
2,
4,
6,
5,
4,
3,
3,
3,
3,
4,
3,
3,
3,
5,
3,
3,
3,
2,
3,
5,
3,
2,
4,
4,
4,
4,
4,
1,
2,
6,
4,
6,
5,
2,
6,
3,
3,
2,
2,
4,
2,
3,
4,
2,
3,
2,
3,
2,
3,
3,
4,
4,
6,
4,
2,
2,
4,
4,
4,
4,
4,
4,
3,
2,
2,
3,
3,
2,
2,
2,
2,
4,
2,
3,
4,
4,
4,
2,
2,
4,
2,
2,
2,
3,
6,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
2,
3,
5,
4,
6,
3,
5,
4,
4,
4,
3,
3,
3,
1,
3,
4,
4,
4,
5,
6,
4,
5,
3,
4,
2,
2,
2,
2,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
4,
5,
4,
5,
5,
5,
4,
5,
4,
3,
4,
3,
4,
4,
2,
4,
4,
2,
4,
4,
4,
4,
4,
5,
5,
5,
3,
2,
3,
3,
4,
2,
3,
3,
4,
3,
4,
3,
3,
4,
6,
4,
2,
4,
2,
3,
2,
4,
4,
2,
3,
2,
3,
5,
3,
3,
3,
3,
3,
4,
4,
2,
2,
2,
3,
3,
3,
3,
4,
3,
3,
3,
2,
5,
3,
3,
4,
4,
3,
3,
3,
3,
2,
2,
6,
2,
2,
4,
2,
4,
3,
2,
3,
2,
4,
3,
3,
4,
4,
4,
3,
7,
3,
3,
7,
2,
3,
3,
2,
3,
3,
6,
2,
4,
2,
3,
2,
4,
7,
4,
2,
3,
4,
3,
3,
6,
3,
2,
3,
2,
4,
2,
2,
2,
2,
4,
5,
4,
3,
2,
2,
2,
2,
9,
4,
4,
2,
1,
2,
4,
2,
4,
2,
4,
4,
4,
4,
4,
4,
4,
6,
4,
3,
2,
6,
4,
2,
4,
2,
2,
5,
6,
3,
7,
4,
4,
4,
7,
3,
4,
3,
7,
2,
4,
3,
2,
2,
4,
4,
3,
2,
4,
6,
3,
4,
2,
2,
3,
4,
4,
4,
2,
4,
3,
4,
3,
3,
3,
4,
3,
2,
3,
3,
2,
2,
2,
4,
3,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
7,
7,
3,
2,
3,
3,
2,
2,
2,
3,
4,
4,
4,
3,
3,
6,
4,
3,
4,
3,
4,
4,
5,
2,
3,
3,
4,
3,
3,
2,
4,
3,
3,
2,
3,
6,
3,
4,
3,
3,
4,
3,
3,
3,
3,
2,
7,
4,
2,
2,
2,
3,
2,
4,
2,
2,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
4,
4,
4,
5,
2,
4,
2,
2,
4,
3,
4,
3,
3,
3,
4,
4,
3,
4,
2,
3,
3,
4,
4,
2,
3,
3,
6,
4,
4,
5,
2,
3,
4,
2,
4,
4,
4,
2,
1,
3,
2,
2,
4,
4,
4,
1,
2,
3,
4,
4,
2,
4,
2,
2,
3,
4,
2,
3,
4,
4,
2,
3,
2,
6,
3,
2,
4,
3,
3,
2,
4,
2,
3,
3,
3,
6,
2,
2,
2,
2,
2,
4,
2,
3,
3,
4,
2,
2,
3,
2,
5,
2,
2,
2,
4,
5,
2,
3,
5,
4,
5,
5,
4,
4,
2,
4,
2,
4,
4,
3,
4,
4,
4,
4,
3,
3,
4,
2,
5,
5,
2,
4,
2,
3,
2,
2,
2,
4,
3,
3,
4,
4,
2,
3,
3,
4,
4,
3,
2,
3,
2,
7,
4,
2,
3,
3,
3,
5,
4,
2,
2,
3,
3,
2,
3,
3,
6,
4,
5,
4,
4,
2,
2,
2,
3,
2,
3,
3,
2,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
3,
2,
3,
2,
3,
5,
5,
4,
2,
3,
2,
3,
3,
3,
3,
3,
3,
2,
4,
2,
4,
4,
4,
4,
3,
4,
6,
4,
4,
4,
3,
2,
3,
4,
4,
3,
3,
3,
3,
2,
4,
3,
2,
4,
5,
3,
4,
2,
2,
3,
4,
4,
2,
2,
5,
3,
2,
2,
4,
2,
2,
3,
3,
3,
4,
4,
5,
4,
4,
3,
6,
3,
2,
9,
2,
3,
4,
4,
3,
2,
4,
4,
4,
4,
2,
4,
2,
3,
3,
2,
2,
3,
3,
5,
5,
4,
3,
3,
5,
5,
4,
4,
4,
3,
7,
4,
4,
4,
4,
2,
2,
2,
2,
5,
4,
4,
3,
2,
3,
3,
3,
3,
3,
4,
4,
3,
5,
3,
3,
4,
3,
3,
2,
3,
4,
1,
4,
4,
3,
5,
4,
4,
4,
2,
6,
2,
2,
2,
2,
4,
4,
5,
2,
2,
2,
4,
4,
4,
2,
4,
2,
5,
6,
6,
3,
4,
4,
4,
4,
2,
5,
4,
4,
3,
3,
2,
4,
3,
4,
4,
2,
4,
4,
6,
5,
3,
4,
3,
3,
3,
3,
3,
2,
4,
3,
4,
2,
2,
4,
4,
3,
3,
2,
2,
3,
3,
4,
2,
3,
3,
3,
5,
7,
2,
5,
5,
5,
7,
5,
2,
3,
3,
2,
2,
3,
3,
6,
4,
3,
3,
2,
4,
6,
4,
4,
5,
3,
4,
4,
3,
4,
3,
5,
6,
3,
2,
2,
2,
4,
6,
4,
6,
5,
3,
4,
3,
5,
3,
5,
4,
4,
4,
4,
4,
3,
1,
6,
4,
4,
2,
4,
2,
5,
1,
3,
4,
4,
3,
2,
2,
2,
3,
2,
3,
3,
2,
2,
2,
4,
4,
3,
7,
5,
8,
3,
5,
3,
5,
5,
4,
3,
6,
4,
2,
7,
2,
3,
3,
2,
2,
2,
3,
6,
3,
7,
2,
6,
2,
5,
3,
4,
3,
6,
4,
4,
4,
2,
7,
1,
3,
2,
2,
3,
3,
3,
3,
2,
3,
6,
4,
7,
4,
3,
2,
2,
2,
2,
2,
2,
3,
3,
2,
11,
3,
4,
4,
5,
2,
3,
3,
2,
2,
6,
2,
2,
4,
4,
2,
2,
4,
4,
4,
2,
2,
2,
2,
4,
2,
4,
5,
7,
2,
4,
2,
6,
3,
2,
4,
4,
4,
6,
3,
3,
2,
2,
2,
4,
3,
6,
4,
7,
4,
4,
4,
2,
4,
4,
2,
2,
4,
3,
4,
2,
2,
5,
5,
6,
3,
4,
3,
3,
4,
3,
4,
2,
4,
4,
4,
5,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
4,
2,
2,
2,
3,
6,
6,
4,
6,
2,
3,
2,
4,
2,
2,
2,
3,
1,
4,
4,
2,
4,
3,
4,
4,
3,
2,
3,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
2,
3,
4,
2,
2,
4,
6,
2,
2,
4,
4,
4,
4,
2,
2,
1,
2,
2,
2,
3,
4,
3,
3,
2,
2,
3,
2,
3,
3,
2,
4,
4,
3,
2,
4,
3,
2,
4,
2,
6,
2,
3,
2,
3,
4,
3,
5,
6,
4,
3,
3,
3,
4,
4,
5,
3,
2,
2,
2,
4,
3,
2,
2,
2,
3,
3,
4,
4,
3,
3,
2,
2,
2,
3,
3,
2,
4,
2,
2,
3,
1,
4,
2,
3,
3,
3,
3,
3,
5,
5,
3,
4,
2,
2,
3,
3,
3,
1,
5,
2,
2,
5,
2,
3,
3,
3,
3,
2,
4,
3,
2,
2,
3,
4,
4,
3,
3,
4,
4,
2,
3,
2,
2,
3,
3,
5,
2,
3,
4,
4,
2,
5,
2,
2,
2,
4,
3,
3,
4,
4,
5,
3,
4,
4,
6,
3,
6,
4,
2,
5,
4,
4,
4,
4,
5,
3,
4,
3,
3,
2,
3,
4,
4,
3,
3,
3,
2,
2,
5,
5,
3,
3,
6,
3,
3,
3,
4,
4,
4,
2,
4,
3,
4,
2,
5,
3,
3,
3,
4,
4,
3,
4,
3,
4,
3,
4,
4,
2,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
3,
3,
2,
4,
4,
2,
4,
3,
3,
3,
3,
2,
3,
3,
3,
7,
2,
3,
6,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
2,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
3,
4,
4,
4,
3,
2,
2,
4,
4,
4,
2,
5,
2,
2,
3,
3,
3,
5,
4,
4,
4,
4,
2,
2,
4,
3,
3,
4,
4,
6,
3,
4,
4,
4,
2,
2,
2,
3,
4,
2,
3,
2,
4,
4,
2,
5,
6,
5,
1,
3,
9,
5,
4,
4,
3,
3,
3,
3,
2,
4,
2,
4,
4,
4,
3,
4,
4,
4,
2,
4,
4,
3,
3,
4,
4,
3,
3,
5,
3,
4,
2,
2,
2,
2,
2,
5,
3,
2,
2,
2,
4,
4,
3,
4,
4,
4,
4,
4,
5,
4,
1,
2,
2,
2,
3,
3,
4,
4,
4,
4,
3,
5,
4,
4,
2,
3,
3,
4,
2,
4,
4,
4,
4,
3,
3,
3,
3,
2,
3,
3,
5,
3,
3,
3,
2,
4,
4,
4,
4,
3,
3,
3,
3,
4,
2,
3,
3,
3,
7,
6,
3,
3,
3,
4,
5,
2,
2,
4,
4,
2,
2,
3,
2,
3,
4,
3,
5,
2,
2,
4,
3,
2,
4,
4,
3,
4,
4,
4,
3,
3,
4,
2,
4,
4,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
1,
3,
3,
3,
3,
4,
3,
2,
7,
7,
3,
4,
4,
3,
4,
5,
3,
4,
5,
2,
2,
2,
3,
4,
2,
2,
4,
4,
2,
4,
4,
4,
4,
2,
4,
4,
3,
4,
2,
4,
3,
7,
8,
3,
1,
4,
4,
5,
4,
6,
4,
2,
2,
4,
3,
2,
2,
2,
2,
1,
6,
4,
4,
4,
3,
2,
3,
2,
6,
6,
2,
3,
3,
4,
3,
4,
4,
4,
3,
3,
6,
5,
2,
2,
2,
5,
4,
5,
2,
4,
8,
4,
5,
4,
4,
3,
3,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
4,
4,
8,
3,
3,
6,
2,
3,
3,
3,
4,
4,
3,
3,
3,
3,
3,
4,
3,
4,
2,
2,
2,
2,
2,
3,
3,
3,
4,
5,
5,
4,
3,
3,
2,
3,
2,
3,
4,
4,
4,
3,
2,
4,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
3,
3,
2,
2,
3,
3,
2,
3,
4,
4,
2,
3,
5,
3,
3,
2,
5,
2,
2,
4,
3,
2,
2,
4,
2,
3,
4,
4,
3,
3,
2,
4,
4,
4,
3,
4,
2,
4,
2,
2,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
4,
5,
5,
3,
3,
5,
4,
2,
2,
4,
4,
2,
4,
5,
3,
3,
2,
3,
5,
7,
5,
2,
2,
2,
4,
3,
7,
3,
3,
3,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
5,
2,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
6,
5,
5,
3,
3,
3,
4,
4,
4,
2,
2,
6,
2,
4,
4,
3,
3,
2,
2,
4,
5,
4,
5,
3,
3,
3,
7,
2,
5,
4,
4,
4,
3,
3,
2,
6,
3,
2,
2,
2,
3,
2,
2,
3,
2,
3,
2,
3,
3,
3,
3,
2,
1,
4,
3,
3,
4,
4,
3,
3,
3,
4,
5,
5,
2,
2,
4,
3,
3,
2,
3,
3,
4,
4,
4,
4,
2,
4,
2,
4,
2,
4,
4,
5,
4,
3,
3,
4,
4,
3,
2,
4,
4,
4,
3,
3,
7,
4,
3,
4,
2,
2,
3,
4,
1,
2,
2,
2,
2,
2,
2,
3,
3,
4,
3,
4,
4,
2,
2,
4,
3,
2,
3,
3,
3,
2,
2,
5,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
3,
5,
4,
3,
6,
3,
5,
3,
4,
4,
4,
4,
2,
3,
2,
3,
4,
6,
4,
4,
3,
3,
3,
4,
4,
4,
4,
7,
5,
5,
5,
5,
2,
3,
2,
2,
2,
4,
4,
4,
2,
2,
3,
3,
2,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
4,
5,
4,
1,
2,
4,
3,
3,
3,
4,
2,
2,
3,
3,
5,
3,
4,
5,
4,
4,
2,
2,
2,
2,
6,
3,
3,
4,
4,
4,
4,
3,
2,
4,
3,
2,
1,
2,
5,
3,
2,
2,
3,
4,
3,
4,
4,
2,
4,
4,
2,
4,
4,
6,
2,
2,
2,
6,
2,
4,
2,
5,
8,
5,
4,
3,
3,
3,
3,
4,
2,
3,
3,
3,
3,
3,
2,
2,
3,
2,
3,
3,
3,
3,
2,
2,
3,
3,
3,
2,
3,
3,
3,
2,
2,
2,
2,
4,
4,
2,
6,
2,
3,
6,
4,
3,
7,
4,
4,
4,
4,
2,
3,
4,
2,
2,
5,
3,
3,
4,
2,
2,
4,
4,
2,
2,
5,
3,
6,
2,
2,
4,
5,
5,
4,
4,
4,
7,
3,
2,
5,
5,
3,
1,
4,
2,
3,
2,
4,
2,
2,
3,
4,
4,
4,
4,
3,
2,
3,
2,
3,
3,
2,
4,
4,
4,
3,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
1,
2,
5,
2,
3,
2,
5,
2,
6,
3,
3,
2,
3,
2,
2,
4,
4,
4,
4,
5,
5,
5,
5,
4,
4,
2,
2,
2,
2,
4,
3,
4,
4,
2,
2,
5,
5,
4,
5,
5,
3,
2,
2,
3,
4,
4,
4,
4,
1,
4,
3,
6,
6,
3,
4,
4,
4,
3,
5,
4,
2,
2,
5,
4,
4,
3,
7,
2,
3,
2,
2,
3,
6,
3,
4,
3,
3,
5,
4,
3,
3,
4,
5,
4,
4,
3,
5,
3,
4,
4,
4,
4,
4,
2,
4,
4,
3,
2,
2,
3,
4,
5,
3,
2,
4,
3,
2,
5,
4,
2,
4,
4,
5,
3,
1,
6,
4,
4,
4,
2,
3,
4,
2,
2,
2,
2,
4,
4,
3,
4,
4,
3,
3,
2,
4,
2,
2,
4,
2,
2,
3,
6,
3,
2,
3,
3,
3,
3,
4,
2,
4,
4,
4,
1,
2,
1,
6,
3,
3,
3,
2,
2,
4,
4,
5,
6,
4,
6,
3,
4,
1,
2,
4,
2,
2,
4,
2,
4,
4,
4,
2,
2,
3,
3,
3,
3,
6,
3,
3,
3,
3,
3,
3,
1,
4,
3,
5,
5,
3,
5,
4,
3,
3,
2,
4,
4,
4,
4,
4,
2,
4,
3,
3,
4,
4,
4,
4,
3,
3,
3,
2,
2,
4,
4,
4,
3,
6,
4,
4,
5,
5,
5,
3,
2,
3,
4,
4,
4,
9,
3,
3,
3,
4,
2,
3,
2,
2,
2,
2,
3,
3,
2,
4,
4,
3,
1,
3,
6,
5,
5,
5,
4,
2,
3,
4,
2,
4,
4,
4,
4,
2,
2,
4,
3,
3,
4,
4,
4,
4,
4,
3,
5,
3,
2,
2,
2,
4,
3,
4,
2,
2,
4,
4,
3,
2,
2,
2,
5,
2,
2,
4,
5,
2,
2,
4,
4,
3,
4,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
3,
2,
3,
6,
4,
2,
4,
3,
4,
4,
2,
3,
2,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
2,
4,
3,
6,
6,
2,
2,
2,
4,
3,
4,
5,
2,
4,
3,
2,
4,
2,
3,
6,
5,
4,
4,
4,
2,
2,
4,
2,
4,
2,
3,
4,
4,
4,
3,
5,
2,
3,
3,
4,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
6,
2,
5,
7,
6,
5,
4,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
2,
4,
2,
4,
3,
4,
8,
3,
6,
5,
3,
5,
3,
3,
3,
3,
5,
4,
4,
3,
3,
3,
3,
3,
4,
4,
3,
2,
4,
3,
8,
2,
3,
6,
4,
2,
6,
3,
4,
3,
3,
3,
3,
4,
4,
4,
6,
4,
4,
2,
2,
3,
3,
4,
4,
2,
5,
4,
5,
4,
3,
5,
2,
4,
4,
2,
2,
2,
4,
4,
4,
2,
2,
2,
2,
3,
4,
2,
2,
4,
5,
3,
2,
2,
2,
5,
3,
4,
3,
3,
5,
3,
3,
2,
3,
4,
4,
5,
6,
2,
2,
4,
4,
2,
4,
5,
5,
3,
4,
2,
3,
3,
4,
3,
2,
4,
3,
4,
2,
3,
2,
2,
3,
2,
2,
3,
3,
2,
5,
5,
4,
4,
4,
3,
4,
1,
2,
2,
5,
2,
3,
2,
2,
2,
3,
2,
2,
1,
2,
4,
4,
6,
4,
4,
4,
4,
3,
2,
3,
3,
3,
4,
3,
4,
3,
2,
4,
4,
2,
4,
2,
3,
4,
3,
3,
3,
3,
4,
4,
4,
4,
2,
4,
4,
2,
2,
5,
4,
2,
3,
2,
2,
2,
3,
2,
4,
2,
3,
4,
3,
3,
3,
4,
4,
5,
4,
5,
4,
4,
3,
2,
4,
5,
2,
4,
4,
2,
3,
5,
6,
4,
2,
5,
3,
5,
4,
3,
3,
6,
1,
2,
3,
4,
2,
4,
4,
4,
2,
3,
4,
1,
4,
3,
2,
3,
3,
2,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
4,
2,
4,
4,
4,
4,
2,
1,
5,
5,
4,
4,
4,
6,
2,
4,
2,
3,
3,
3,
3,
3,
4,
4,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
3,
8,
7,
4,
4,
2,
4,
4,
4,
3,
3,
3,
4,
3,
4,
4,
8,
8,
2,
2,
3,
2,
4,
2,
4,
4,
4,
5,
7,
6,
6,
3,
3,
3,
2,
3,
3,
2,
3,
3,
6,
3,
3,
2,
2,
4,
3,
3,
2,
2,
2,
3,
4,
4,
2,
3,
3,
3,
2,
3,
2,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
2,
7,
2,
4,
4,
5,
3,
3,
2,
5,
4,
4,
3,
6,
2,
4,
3,
2,
4,
2,
4,
3,
2,
4,
4,
2,
3,
1,
3,
6,
3,
2,
2,
4,
4,
4,
3,
2,
4,
2,
2,
2,
2,
2,
3,
4,
3,
5,
2,
4,
5,
4,
4,
2,
4,
4,
3,
3,
2,
3,
3,
3,
3,
3,
5,
3,
2,
3,
2,
3,
3,
2,
3,
3,
4,
2,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
4,
4,
4,
2,
3,
3,
4,
2,
2,
3,
5,
4,
2,
6,
4,
3,
3,
2,
4,
5,
4,
2,
4,
3,
2,
3,
2,
1,
2,
4,
3,
2,
4,
4,
4,
3,
3,
3,
3,
2,
2,
3,
4,
4,
4,
4,
2,
2,
4,
3,
2,
2,
2,
3,
3,
2,
2,
4,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
3,
4,
2,
3,
4,
2,
3,
2,
3,
4,
2,
4,
2,
4,
4,
2,
4,
2,
4,
6,
6,
3,
5,
4,
3,
2,
2,
2,
5,
2,
3,
4,
4,
4,
2,
5,
6,
3,
3,
4,
4,
3,
2,
4,
4,
4,
2,
4,
2,
4,
3,
2,
3,
3,
4,
2,
2,
1,
5,
4,
3,
3,
3,
3,
4,
3,
5,
5,
4,
4,
2,
2,
3,
4,
3,
2,
2,
3,
2,
2,
4,
4,
2,
2,
4,
2,
4,
2,
2,
3,
2,
2,
2,
3,
4,
4,
3,
2,
2,
5,
4,
4,
3,
1,
5,
4,
2,
4,
3,
4,
2,
4,
2,
1,
4,
3,
3,
3,
4,
4,
5,
8,
3,
2,
5,
4,
3,
2,
4,
2,
1,
3,
3,
3,
3,
4,
4,
3,
2,
3,
4,
4,
3,
3,
4,
4,
4,
4,
4,
3,
2,
2,
7,
3,
3,
3,
4,
2,
2,
3,
3,
2,
2,
2,
2,
6,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
2,
3,
3,
2,
5,
3,
3,
3,
2,
4,
4,
2,
4,
2,
3,
2,
4,
5,
6,
3,
4,
3,
2,
5,
5,
3,
3,
4,
4,
3,
4,
2,
4,
5,
5,
2,
2,
2,
2,
3,
3,
4,
2,
2,
2,
2,
4,
2,
6,
4,
4,
4,
3,
3,
4,
4,
4,
3,
2,
2,
2,
4,
3,
2,
3,
2,
2,
3,
3,
4,
3,
4,
6,
3,
12,
4,
4,
3,
2,
3,
3,
4,
4,
2,
2,
3,
3,
4,
4,
2,
2,
5,
4,
4,
5,
5,
5,
4,
4,
4,
2,
2,
1,
3,
4,
3,
3,
4,
3,
4,
3,
4,
4,
4,
2,
2,
2,
5,
2,
5,
3,
3,
4,
3,
4,
4,
3,
3,
2,
4,
4,
2,
2,
8,
4,
4,
5,
9,
6,
3,
5,
6,
5,
3,
8,
3,
3,
3,
4,
2,
4,
4,
2,
2,
4,
3,
2,
2,
3,
2,
2,
4,
2,
4,
5,
4,
4,
5,
2,
6,
4,
5,
2,
4,
2,
5,
4,
3,
3,
3,
2,
6,
2,
6,
3,
3,
3,
4,
4,
2,
5,
3,
7,
3,
2,
3,
3,
3,
3,
4,
4,
2,
3,
2,
5,
4,
1,
2,
2,
2,
2,
4,
3,
3,
3,
2,
3,
2,
3,
4,
2,
4,
2,
4,
4,
5,
3,
3,
3,
4,
3,
5,
2,
2,
3,
5,
2,
3,
2,
5,
4,
4,
4,
4,
2,
4,
2,
3,
4,
2,
3,
3,
3,
3,
3,
3,
3,
3,
2,
3,
5,
3,
6,
4,
3,
4,
2,
3,
5,
4,
4,
4,
4,
2,
4,
4,
5,
5,
4,
3,
3,
2,
3,
6,
5,
2,
2,
5,
2,
4,
2,
3,
2,
3,
2,
2,
3,
4,
2,
3,
1,
3,
3,
2,
3,
4,
2,
4,
4,
3,
3,
2,
4,
2,
4,
4,
4,
2,
2,
3,
2,
4,
4,
3,
2,
5,
3,
3,
4,
4,
1,
3,
3,
2,
2,
4,
4,
3,
3,
2,
3,
5,
2,
3,
4,
4,
5,
5,
5,
7,
2,
2,
2,
2,
2,
2,
2,
4,
5,
3,
4,
3,
3,
2,
3,
3,
4,
5,
5,
3,
4,
4,
2,
3,
2,
2,
4,
3,
3,
2,
3,
6,
4,
3,
4,
2,
4,
2,
2,
2,
5,
3,
2,
2,
2,
2,
2,
2,
6,
3,
4,
4,
4,
2,
3,
2,
2,
2,
3,
2,
2,
3,
4,
3,
4,
4,
4,
2,
2,
3,
2,
3,
4,
2,
2,
2,
4,
6,
5,
3,
4,
4,
8,
2,
4,
4,
4,
3,
1,
4,
6,
6,
2,
2,
3,
2,
4,
4,
4,
3,
5,
3,
3,
4,
2,
3,
1,
2,
2,
2,
3,
4,
3,
4,
4,
4,
4,
3,
3,
1,
4,
4,
4,
3,
4,
4,
4,
4,
3,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
2,
2,
3,
4,
4,
6,
4,
4,
4,
4,
3,
3,
3,
2,
3,
3,
2,
3,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
5,
5,
5,
4,
3,
4,
4,
2,
5,
4,
4,
4,
2,
3,
4,
3,
3,
3,
2,
6,
3,
4,
4,
4,
4,
4,
2,
2,
7,
2,
3,
4,
4,
4,
2,
2,
2,
2,
3,
2,
4,
2,
3,
2,
2,
7,
3,
3,
4,
4,
2,
3,
4,
3,
4,
4,
4,
5,
2,
2,
3,
2,
2,
5,
5,
4,
4,
3,
5,
3,
5,
1,
3,
3,
3,
3,
1,
5,
2,
6,
4,
4,
4,
2,
4,
4,
4,
4,
4,
4,
2,
6,
6,
2,
3,
6,
5,
3,
3,
2,
2,
2,
5,
8,
3,
2,
2,
4,
6,
3,
3,
2,
2,
4,
4,
4,
2,
4,
4,
4,
2,
4,
4,
4,
4,
6,
4,
2,
4,
3,
3,
3,
3,
4,
3,
3,
2,
2,
3,
4,
3,
2,
2,
3,
3,
4,
4,
2,
7,
2,
2,
2,
4,
3,
2,
3,
2,
3,
3,
3,
1,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
4,
4,
3,
2,
3,
4,
4,
4,
4,
3,
2,
5,
2,
4,
6,
2,
3,
4,
5,
7,
3,
4,
2,
3,
3,
9,
2,
2,
4,
2,
2,
4,
4,
3,
3,
2,
1,
7,
4,
4,
4,
4,
4,
3,
4,
3,
3,
2,
4,
6,
3,
3,
4,
3,
3,
3,
3,
2,
5,
5,
5,
4,
2,
4,
3,
3,
2,
2,
2,
2,
4,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
4,
2,
2,
4,
5,
6,
2,
4,
4,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
3,
2,
3,
5,
3,
3,
2,
2,
3,
7,
4,
4,
2,
4,
6,
4,
4,
4,
3,
3,
2,
2,
3,
8,
2,
4,
2,
4,
2,
2,
2,
5,
5,
2,
2,
4,
4,
4,
8,
3,
2,
3,
4,
5,
3,
3,
3,
2,
3,
3,
3,
2,
2,
5,
3,
2,
4,
4,
4,
4,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
4,
3,
2,
2,
2,
2,
5,
4,
5,
3,
2,
2,
3,
2,
3,
2,
2,
3,
4,
3,
3,
3,
3,
5,
2,
3,
4,
4,
2,
3,
3,
2,
6,
7,
5,
5,
3,
3,
2,
2,
5,
4,
4,
2,
2,
3,
4,
2,
2,
2,
3,
3,
3,
3,
3,
3,
3,
2,
3,
3,
4,
4,
5,
3,
2,
2,
2,
4,
3,
2,
4,
2,
1,
2,
4,
2,
3,
3,
2,
3,
3,
6,
4,
4,
2,
3,
2,
2,
4,
4,
4,
4,
4,
4,
2,
6,
3,
4,
2,
3,
2,
2,
2,
4,
4,
2,
3,
4,
2,
2,
3,
2,
4,
2,
4,
2,
2,
3,
3,
6,
4,
5,
2,
3,
6,
1,
3,
4,
1,
3,
4,
2,
2,
6,
2,
3,
3,
3,
3,
3,
5,
4,
3,
4,
4,
3,
4,
3,
3,
2,
3,
5,
4,
4,
4,
3,
3,
3,
2,
2,
2,
3,
5,
3,
4,
4,
3,
2,
4,
4,
6,
8,
3,
3,
8,
4,
5,
5,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
7,
2,
6,
2,
4,
3,
5,
4,
4,
4,
4,
4,
3,
4,
2,
1,
4,
5,
3,
6,
5,
4,
2,
2,
2,
2,
6,
4,
3,
2,
2,
2,
2,
4,
4,
4,
2,
4,
4,
3,
3,
4,
2,
1,
2,
3,
4,
3,
3,
3,
3,
2,
4,
3,
4,
5,
2,
2,
4,
3,
2,
5,
6,
2,
2,
2,
3,
3,
2,
3,
3,
5,
1,
3,
3,
2,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
2,
2,
2,
2,
4,
4,
4,
3,
2,
3,
3,
2,
3,
2,
4,
4,
4,
3,
2,
3,
4,
4,
4,
4,
4,
3,
9,
2,
2,
3,
3,
3,
3,
4,
4,
2,
4,
4,
2,
2,
9,
4,
2,
2,
3,
3,
2,
5,
5,
3,
4,
2,
2,
3,
2,
4,
2,
2,
2,
4,
2,
4,
3,
1,
2,
3,
6,
2,
2,
5,
2,
3,
3,
7,
2,
4,
4,
4,
3,
3,
5,
2,
2,
2,
3,
2,
2,
4,
4,
4,
3,
4,
2,
2,
2,
6,
4,
4,
5,
4,
3,
2,
2,
2,
4,
1,
4,
2,
3,
4,
3,
4,
3,
2,
4,
3,
3,
2,
2,
3,
4,
2,
5,
4,
2,
2,
4,
2,
1,
1,
2,
1,
2,
4,
2,
5,
5,
2,
2,
3,
2,
2,
2,
2,
2,
3,
4,
4,
8,
4,
4,
4,
2,
5,
3,
3,
3,
3,
3,
2,
2,
3,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
3,
4,
4,
4,
4,
3,
3,
4,
2,
4,
6,
10,
3,
3,
4,
3,
4,
4,
4,
4,
1,
4,
4,
4,
2,
2,
3,
3,
3,
4,
3,
3,
3,
2,
3,
4,
2,
3,
3,
3,
2,
3,
2,
3,
4,
4,
6,
5,
8,
3,
4,
4,
4,
4,
5,
4,
4,
4,
5,
4,
3,
7,
4,
4,
3,
2,
4,
4,
4,
2,
3,
3,
2,
2,
4,
3,
3,
5,
6,
5,
4,
4,
3,
2,
2,
3,
2,
5,
4,
4,
2,
2,
3,
3,
3,
3,
4,
4,
2,
3,
3,
2,
3,
4,
3,
4,
4,
4,
4,
3,
3,
4,
2,
4,
2,
3,
3,
2,
2,
5,
5,
3,
2,
6,
3,
1,
3,
2,
4,
3,
3,
6,
2,
2,
2,
4,
4,
4,
4,
6,
5,
3,
2,
6,
2,
2,
6,
7,
3,
2,
2,
2,
2,
3,
3,
1,
2,
3,
2,
2,
1,
3,
3,
3,
3,
3,
4,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
4,
3,
2,
5,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
2,
5,
4,
3,
3,
3,
3,
3,
3,
3,
3,
4,
4,
3,
2,
3,
3,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
4,
4,
3,
2,
2,
3,
3,
2,
2,
3,
2,
4,
2,
3,
3,
4,
4,
4,
4,
3,
2,
4,
4,
4,
2,
4,
2,
7,
6,
2,
4,
5,
3,
3,
4,
1,
5,
5,
7,
4,
4,
4,
3,
3,
1,
2,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
4,
3,
2,
2,
2,
5,
3,
2,
2,
2,
3,
5,
4,
3,
2,
2,
5,
4,
3,
4,
5,
2,
2,
4,
2,
5,
2,
2,
2,
2,
2,
2,
2,
4,
4,
2,
3,
1,
3,
2,
4,
2,
4,
2,
2,
4,
3,
2,
2,
4,
2,
2,
3,
4,
2,
2,
2,
2,
2,
5,
5,
3,
3,
3,
5,
5,
2,
2,
4,
2,
4,
2,
5,
2,
2,
3,
2,
6,
1,
2,
5,
3,
4,
3,
4,
4,
4,
4,
4,
4,
3,
3,
4,
3,
3,
4,
4,
3,
5,
2,
2,
4,
7,
7,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
1,
3,
3,
4,
5,
5,
4,
4,
2,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
2,
2,
4,
4,
4,
2,
5,
4,
6,
4,
4,
4,
5,
6,
4,
3,
3,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
4,
2,
3,
2,
4,
2,
2,
2,
2,
3,
2,
4,
2,
3,
4,
3,
3,
2,
4,
1,
2,
3,
2,
3,
4,
1,
3,
3,
2,
8,
3,
3,
4,
3,
4,
2,
3,
2,
4,
3,
2,
4,
2,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
3,
4,
4,
2,
2,
4,
3,
4,
4,
4,
4,
1,
3,
3,
2,
3,
5,
4,
3,
6,
2,
2,
6,
3,
7,
2,
1,
4,
3,
3,
2,
2,
2,
2,
4,
2,
4,
6,
2,
3,
4,
2,
4,
2,
5,
6,
2,
2,
4,
4,
2,
2,
3,
2,
4,
3,
4,
4,
4,
3,
3,
3,
2,
3,
3,
4,
3,
3,
1,
5,
3,
4,
4,
2,
4,
4,
4,
4,
2,
4,
2,
2,
4,
4,
4,
4,
3,
3,
2,
5,
5,
5,
5,
1,
4,
6,
3,
2,
2,
2,
2,
2,
3,
4,
4,
2,
2,
4,
4,
3,
3,
4,
4,
2,
1,
2,
2,
4,
3,
2,
3,
4,
2,
3,
3,
4,
4,
2,
2,
3,
4,
4,
4,
1,
2,
2,
2,
3,
3,
3,
7,
4,
4,
4,
4,
4,
3,
2,
4,
5,
2,
3,
3,
2,
2,
3,
4,
2,
4,
4,
2,
5,
4,
2,
4,
3,
1,
3,
3,
4,
5,
3,
3,
3,
3,
2,
2,
5,
2,
2,
3,
4,
2,
2,
2,
1,
2,
3,
4,
5,
4,
4,
4,
4,
4,
4,
5,
4,
3,
2,
2,
3,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
2,
4,
2,
2,
1,
4,
2,
2,
4,
3,
3,
2,
4,
5,
4,
4,
3,
2,
2,
2,
4,
3,
3,
3,
3,
4,
2,
2,
4,
3,
4,
3,
3,
4,
4,
5,
5,
3,
4,
2,
3,
4,
2,
2,
4,
3,
2,
4,
3,
2,
2,
3,
1,
2,
2,
2,
2,
2,
3,
3,
3,
3,
2,
3,
4,
3,
3,
4,
5,
3,
6,
3,
5,
4,
5,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
4,
2,
2,
2,
3,
4,
3,
4,
4,
2,
4,
4,
5,
2,
4,
4,
4,
3,
3,
5,
6,
6,
3,
3,
2,
5,
7,
5,
5,
2,
3,
3,
4,
4,
9,
9,
4,
4,
8,
6,
3,
4,
4,
4,
4,
4,
2,
2,
3,
2,
5,
3,
2,
4,
7,
3,
3,
2,
2,
7,
3,
3,
2,
3,
2,
4,
3,
3,
4,
4,
3,
4,
2,
2,
3,
3,
4,
4,
3,
3,
3,
5,
4,
2,
4,
2,
4,
2,
2,
3,
3,
4,
3,
2,
3,
3,
1,
2,
3,
4,
4,
3,
2,
4,
2,
3,
2,
2,
3,
3,
5,
5,
4,
4,
2,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
7,
3,
2,
5,
4,
4,
3,
5,
2,
4,
4,
2,
3,
3,
1,
9,
3,
4,
3,
4,
4,
5,
5,
6,
3,
6,
3,
5,
2,
3,
3,
3,
3,
2,
2,
8,
7,
4,
4,
4,
4,
4,
4,
2,
8,
8,
4,
3,
3,
1,
4,
3,
2,
1,
4,
4,
3,
3,
6,
4,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
4,
2,
4,
3,
3,
3,
4,
4,
3,
2,
3,
2,
4,
2,
2,
3,
3,
2,
2,
3,
3,
3,
2,
3,
3,
3,
3,
2,
5,
4,
3,
4,
4,
2,
2,
4,
3,
2,
2,
4,
5,
3,
3,
1,
2,
5,
5,
3,
2,
6,
6,
2,
2,
5,
3,
2,
3,
4,
2,
2,
3,
4,
2,
3,
2,
6,
6,
4,
2,
2,
4,
4,
4,
4,
3,
3,
3,
5,
2,
2,
6,
4,
2,
3,
2,
3,
2,
2,
3,
3,
2,
2,
2,
2,
2,
3,
4,
4,
4,
2,
2,
3,
2,
5,
4,
6,
2,
2,
3,
2,
3,
2,
4,
4,
4,
4,
3,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
4,
2,
2,
4,
3,
2,
3,
2,
2,
4,
5,
3,
4,
2,
8,
3,
4,
3,
3,
4,
3,
4,
3,
3,
4,
4,
4,
2,
3,
5,
3,
3,
4,
4,
3,
4,
4,
3,
2,
2,
3,
2,
2,
2,
2,
2,
3,
1,
5,
4,
7,
4,
4,
3,
2,
2,
4,
8,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
5,
1,
3,
3,
1,
2,
2,
6,
3,
7,
4,
3,
4,
4,
4,
3,
2,
5,
3,
4,
4,
5,
3,
2,
6,
3,
7,
7,
2,
4,
6,
6,
4,
4,
2,
3,
4,
4,
3,
3,
2,
2,
3,
4,
4,
5,
6,
5,
4,
4,
5,
4,
6,
2,
3,
3,
4,
2,
4,
2,
1,
3,
2,
2,
4,
4,
3,
5,
2,
2,
2,
2,
2,
5,
5,
4,
3,
6,
5,
4,
2,
4,
4,
4,
4,
4,
4,
5,
3,
5,
2,
4,
3,
3,
4,
4,
5,
4,
3,
2,
4,
3,
3,
3,
4,
7,
6,
3,
3,
6,
2,
3,
4,
2,
1,
5,
4,
3,
5,
4,
4,
4,
2,
4,
5,
5,
4,
2,
2,
2,
4,
2,
2,
3,
3,
2,
4,
2,
8,
6,
3,
2,
5,
4,
4,
2,
3,
2,
3,
3,
1,
4,
3,
2,
3,
4,
4,
4,
3,
4,
4,
2,
2,
4,
4,
4,
3,
3,
3,
2,
3,
2,
2,
2,
4,
5,
5,
3,
3,
3,
2,
2,
3,
8,
5,
5,
2,
4,
4,
4,
4,
3,
2,
4,
4,
2,
2,
2,
3,
2,
1,
4,
6,
7,
4,
7,
3,
3,
3,
2,
4,
4,
2,
4,
4,
5,
4,
3,
4,
4,
2,
2,
5,
4,
4,
3,
3,
4,
4,
4,
4,
8,
2,
2,
2,
2,
2,
3,
3,
2,
3,
2,
2,
4,
5,
5,
3,
4,
2,
2,
2,
2,
4,
4,
3,
2,
3,
5,
3,
5,
3,
2,
3,
3,
2,
4,
2,
2,
2,
3,
4,
4,
2,
2,
3,
2,
4,
2,
4,
2,
2,
2,
2,
4,
3,
3,
3,
2,
6,
3,
3,
3,
6,
7,
2,
2,
5,
2,
1,
4,
4,
2,
4,
2,
2,
6,
2,
2,
3,
2,
2,
3,
4,
3,
2,
4,
3,
3,
3,
4,
3,
3,
3,
3,
4,
3,
3,
2,
2,
3,
4,
2,
3,
5,
4,
4,
4,
2,
3,
3,
6,
4,
4,
4,
5,
3,
3,
3,
2,
2,
4,
4,
4,
4,
3,
4,
4,
4,
2,
4,
2,
3,
3,
3,
3,
3,
4,
4,
2,
2,
4,
7,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
4,
3,
3,
3,
2,
3,
3,
3,
1,
3,
8,
4,
2,
3,
4,
5,
4,
4,
4,
4,
3,
5,
2,
3,
3,
3,
2,
3,
3,
4,
3,
4,
4,
5,
3,
3,
4,
3,
3,
2,
5,
4,
3,
2,
3,
2,
2,
4,
2,
2,
3,
1,
2,
3,
3,
2,
2,
6,
3,
3,
2,
4,
3,
3,
3,
2,
4,
5,
4,
4,
6,
2,
3,
5,
4,
2,
4,
4,
2,
2,
2,
3,
3,
3,
3,
3,
2,
3,
5,
5,
3,
2,
2,
2,
2,
4,
2,
2,
5,
3,
3,
3,
2,
2,
2,
4,
3,
2,
2,
1,
2,
3,
2,
2,
6,
3,
4,
6,
2,
2,
4,
2,
4,
4,
4,
3,
3,
2,
3,
3,
3,
2,
2,
1,
5,
3,
6,
2,
3,
4,
3,
2,
8,
6,
3,
4,
4,
2,
2,
4,
2,
3,
3,
3,
4,
3,
4,
4,
4,
2,
3,
2,
5,
2,
3,
3,
3,
6,
5,
4,
3,
3,
3,
3,
3,
7,
2,
4,
4,
2,
4,
2,
4,
4,
4,
4,
4,
3,
4,
8,
2,
4,
4,
6,
4,
2,
5,
5,
5,
4,
3,
3,
3,
4,
8,
2,
1,
1,
4,
2,
7,
4,
4,
3,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
5,
3,
2,
3,
2,
4,
4,
2,
3,
2,
3,
2,
5,
2,
6,
3,
4,
2,
2,
2,
3,
3,
3,
3,
3,
4,
4,
4,
2,
3,
3,
2,
4,
4,
2,
2,
4,
3,
4,
4,
4,
6,
2,
2,
5,
5,
4,
3,
2,
2,
4,
4,
3,
3,
3,
3,
3,
5,
2,
3,
4,
5,
4,
3,
3,
3,
3,
4,
4,
2,
4,
4,
4,
4,
3,
2,
3,
4,
3,
3,
5,
7,
4,
3,
7,
2,
2,
4,
3,
6,
2,
2,
5,
3,
2,
6,
3,
4,
2,
3,
2,
2,
4,
3,
2,
4,
3,
3,
2,
3,
2,
3,
4,
4,
3,
3,
5,
4,
7,
4,
4,
3,
3,
4,
4,
2,
5,
3,
3,
5,
3,
5,
4,
3,
4,
4,
5,
4,
4,
2,
3,
4,
4,
4,
3,
5,
5,
3,
5,
4,
4,
3,
4,
6,
4,
3,
4,
4,
2,
5,
6,
4,
4,
1,
2,
4,
2,
2,
4,
4,
2,
4,
5,
4,
3,
5,
4,
4,
5,
2,
3,
4,
3,
4,
2,
2,
3,
3,
3,
1,
3,
3,
1,
2,
2,
5,
5,
5,
5,
2,
3,
3,
2,
4,
4,
5,
2,
3,
4,
3,
3,
2,
3,
2,
2,
2,
2,
4,
4,
3,
3,
3,
2,
3,
3,
2,
4,
3,
4,
1,
3,
3,
3,
3,
2,
4,
5,
4,
2,
4,
2,
3,
2,
2,
3,
2,
2,
2,
4,
1,
2,
3,
2,
2,
3,
3,
2,
3,
5,
3,
4,
5,
4,
5,
3,
2,
2,
2,
2,
2,
4,
4,
3,
3,
4,
4,
4,
3,
3,
4,
2,
2,
3,
4,
3,
3,
4,
2,
3,
3,
2,
2,
2,
3,
2,
3,
3,
3,
3,
5,
5,
3,
4,
3,
3,
5,
5,
4,
5,
3,
3,
3,
7,
5,
3,
4,
4,
4,
6,
3,
3,
5,
4,
2,
5,
4,
3,
4,
3,
3,
4,
4,
4,
2,
4,
4,
4,
3,
4,
2,
4,
4,
2,
4,
4,
2,
3,
2,
2,
5,
3,
4,
4,
4,
6,
4,
2,
2,
3,
5,
2,
5,
3,
3,
2,
2,
4,
4,
2,
4,
7,
6,
6,
2,
2,
2,
6,
2,
3,
5,
3,
6,
2,
4,
2,
2,
4,
3,
4,
4,
2,
2,
5,
4,
5,
4,
4,
2,
2,
4,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
4,
4,
2,
3,
2,
2,
2,
2,
2,
6,
4,
2,
4,
3,
3,
2,
3,
2,
4,
3,
2,
5,
2,
3,
4,
4,
3,
2,
2,
2,
5,
5,
2,
4,
7,
2,
4,
3,
4,
5,
2,
4,
2,
3,
1,
4,
4,
4,
4,
4,
4,
4,
5,
2,
1,
3,
4,
4,
3,
4,
2,
5,
3,
3,
3,
3,
6,
2,
3,
4,
3,
3,
3,
4,
4,
3,
2,
4,
4,
1,
3,
2,
2,
4,
4,
4,
1,
2,
2,
2,
4,
3,
3,
2,
2,
6,
2,
2,
3,
6,
4,
3,
3,
3,
4,
4,
3,
3,
3,
2,
2,
4,
3,
5,
3,
6,
5,
5,
5,
7,
4,
4,
4,
4,
3,
2,
4,
4,
5,
3,
2,
3,
6,
2,
6,
3,
3,
2,
3,
7,
4,
4,
4,
4,
2,
4,
4,
2,
5,
4,
2,
4,
5,
6,
3,
2,
3,
3,
3,
7,
1,
2,
4,
4,
3,
4,
4,
4,
4,
6,
4,
2,
4,
4,
3,
2,
2,
2,
2,
1,
4,
2,
4,
2,
2,
3,
4,
2,
4,
2,
3,
2,
2,
2,
2,
3,
2,
2,
3,
3,
3,
4,
3,
4,
4,
4,
3,
3,
5,
5,
5,
3,
2,
4,
2,
2,
4,
4,
2,
2,
4,
2,
4,
3,
2,
2,
2,
3,
2,
5,
2,
3,
2,
3,
3,
2,
3,
2,
3,
3,
3,
2,
3,
2,
3,
7,
2,
4,
5,
2,
4,
4,
4,
3,
3,
4,
3,
3,
2,
4,
3,
3,
3,
5,
3,
3,
3,
3,
5,
4,
7,
4,
3,
4,
5,
4,
5,
5,
3,
3,
3,
3,
1,
3,
2,
3,
2,
3,
4,
5,
2,
2,
4,
4,
2,
2,
2,
3,
4,
5,
4,
5,
2,
3,
3,
3,
3,
3,
5,
3,
5,
4,
3,
4,
3,
3,
2,
3,
6,
4,
2,
3,
5,
6,
1,
6,
2,
3,
4,
3,
3,
3,
5,
2,
5,
4,
5,
3,
3,
3,
2,
4,
3,
3,
5,
3,
4,
3,
5,
3,
4,
2,
3,
3,
3,
1,
4,
1,
3,
4,
3,
4,
3,
4,
1,
3,
3,
3,
3,
2,
2,
2,
3,
5,
4,
3,
4,
5,
3,
5,
2,
3,
3,
4,
4,
4,
4,
5,
5,
5,
4,
6,
3,
2,
3,
2,
2,
2,
2,
3,
2,
3,
3,
2,
3,
2,
3,
4,
3,
4,
1,
4,
5,
4,
3,
4,
2,
2,
4,
2,
4,
6,
5,
4,
4,
4,
2,
3,
4,
4,
9,
3,
3,
3,
3,
2,
3,
3,
3,
3,
5,
2,
3,
2,
3,
3,
2,
2,
3,
4,
2,
4,
2,
2,
2,
2,
2,
3,
3,
3,
3,
5,
2,
3,
2,
4,
5,
2,
4,
4,
2,
2,
2,
4,
2,
3,
3,
4,
2,
2,
4,
1,
3,
5,
3,
2,
5,
3,
3,
7,
2,
2,
2,
4,
3,
3,
6,
5,
2,
5,
4,
4,
4,
3,
2,
4,
4,
4,
4,
3,
3,
2,
4,
4,
3,
5,
4,
4,
4,
4,
3,
3,
3,
5,
3,
3,
1,
4,
3,
3,
3,
2,
3,
1,
2,
1,
3,
3,
3,
5,
4,
4,
4,
4,
2,
3,
3,
3,
2,
2,
2,
2,
2,
2,
4,
4,
4,
5,
3,
3,
3,
5,
4,
3,
2,
4,
7,
2,
2,
4,
3,
3,
5,
4,
2,
4,
3,
3,
1,
2,
2,
4,
3,
4,
3,
2,
2,
2,
2,
4,
4,
4,
2,
1,
5,
4,
2,
1,
4,
4,
4,
3,
2,
3,
3,
3,
2,
3,
3,
3,
2,
3,
3,
2,
4,
3,
4,
5,
2,
4,
6,
2,
2,
2,
4,
4,
3,
2,
3,
4,
2,
2,
4,
2,
9,
4,
2,
2,
8,
4,
3,
6,
4,
2,
2,
2,
2,
4,
4,
6,
3,
3,
3,
3,
2,
3,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
2,
2,
7,
6,
2,
4,
2,
4,
3,
3,
6,
2,
2,
4,
5,
3,
4,
4,
4,
4,
4,
2,
2,
3,
4,
2,
3,
2,
2,
4,
4,
3,
3,
2,
3,
4,
4,
2,
4,
4,
6,
5,
2,
4,
4,
3,
3,
2,
3,
4,
3,
3,
5,
2,
2,
3,
2,
2,
4,
3,
3,
6,
2,
2,
3,
3,
2,
4,
2,
2,
3,
2,
2,
4,
4,
4,
4,
4,
3,
7,
4,
2,
2,
2,
1,
3,
2,
3,
2,
2,
2,
2,
2,
4,
4,
5,
4,
2,
3,
3,
4,
3,
2,
2,
2,
2,
4,
3,
2,
2,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
4,
3,
5,
4,
3,
3,
3,
2,
4,
2,
4,
4,
2,
2,
4,
4,
3,
4,
7,
5,
5,
3,
3,
4,
4,
4,
4,
4,
3,
3,
2,
4,
2,
6,
5,
2,
4,
4,
4,
3,
3,
3,
4,
4,
4,
4,
5,
3,
6,
4,
2,
3,
3,
2,
4,
4,
3,
2,
3,
3,
5,
3,
3,
4,
6,
3,
1,
4,
3,
3,
3,
4,
2,
3,
4,
4,
4,
4,
5,
2,
3,
5,
4,
4,
4,
4,
4,
3,
2,
4,
2,
2,
6,
4,
4,
4,
4,
4,
4,
3,
4,
4,
2,
3,
5,
2,
3,
2,
2,
3,
4,
3,
3,
3,
2,
4,
4,
3,
2,
3,
4,
2,
4,
3,
3,
2,
3,
4,
6,
4,
2,
3,
2,
2,
2,
2,
2,
5,
2,
2,
2,
4,
4,
4,
7,
4,
4,
5,
4,
3,
2,
5,
3,
4,
2,
3,
4,
4,
4,
6,
4,
2,
2,
4,
5,
2,
2,
3,
6,
4,
8,
8,
3,
2,
2,
4,
3,
4,
2,
4,
4,
3,
3,
2,
4,
4,
4,
6,
6,
4,
4,
2,
2,
2,
2,
4,
5,
4,
3,
3,
3,
6,
2,
3,
2,
3,
3,
3,
4,
2,
2,
2,
3,
3,
3,
2,
1,
4,
4,
4,
3,
3,
4,
4,
2,
2,
2,
5,
4,
4,
2,
4,
2,
4,
3,
4,
3,
3,
2,
2,
2,
5,
4,
3,
3,
4,
2,
2,
2,
5,
4,
3,
4,
2,
2,
1,
2,
2,
2,
7,
2,
3,
4,
4,
4,
5,
2,
4,
2,
3,
1,
2,
5,
5,
8,
4,
2,
4,
2,
2,
4,
3,
3,
4,
4,
2,
3,
3,
3,
4,
3,
3,
4,
4,
2,
4,
3,
3,
4,
4,
4,
6,
4,
4,
4,
8,
9,
3,
3,
8,
8,
3,
3,
3,
4,
4,
6,
4,
3,
2,
3,
3,
3,
3,
3,
2,
3,
4,
4,
3,
4,
3,
3,
2,
4,
4,
4,
4,
4,
4,
3,
2,
2,
4,
3,
3,
3,
3,
3,
2,
3,
4,
4,
1,
1,
1,
5,
4,
4,
4,
3,
6,
3,
5,
6,
4,
2,
3,
3,
2,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
6,
4,
8,
3,
2,
3,
4,
2,
3,
3,
5,
2,
2,
5,
2,
2,
3,
2,
6,
4,
7,
3,
2,
4,
4,
2,
4,
3,
5,
4,
3,
4,
4,
4,
4,
3,
3,
5,
4,
2,
3,
4,
4,
3,
3,
4,
5,
5,
3,
2,
3,
4,
2,
2,
4,
3,
2,
1,
2,
4,
4,
3,
3,
3,
2,
2,
4,
4,
6,
4,
4,
2,
2,
5,
5,
5,
4,
4,
4,
3,
4,
4,
3,
2,
3,
5,
6,
3,
4,
2,
4,
4,
4,
4,
6,
5,
5,
5,
6,
6,
4,
4,
3,
2,
2,
2,
2,
2,
4,
4,
2,
2,
2,
4,
4,
4,
4,
2,
1,
1,
4,
5,
4,
4,
2,
2,
3,
2,
2,
2,
2,
4,
3,
2,
5,
4,
4,
4,
4,
2,
3,
2,
2,
3,
4,
3,
4,
2,
4,
2,
5,
2,
3,
2,
5,
2,
2,
4,
2,
2,
2,
2,
2,
4,
2,
4,
3,
2,
5,
3,
3,
5,
2,
3,
3,
4,
4,
3,
4,
8,
2,
4,
3,
2,
3,
3,
3,
2,
4,
2,
4,
4,
3,
3,
3,
1,
4,
5,
4,
2,
2,
4,
3,
3,
2,
2,
3,
3,
2,
3,
3,
5,
2,
2,
2,
4,
4,
4,
4,
4,
3,
3,
2,
4,
4,
2,
2,
4,
3,
3,
2,
4,
2,
2,
7,
2,
3,
6,
2,
2,
2,
2,
3,
5,
4,
2,
4,
4,
4,
4,
4,
4,
2,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
4,
4,
2,
3,
3,
2,
5,
3,
3,
2,
5,
2,
2,
2,
2,
3,
2,
3,
4,
4,
4,
4,
3,
8,
2,
4,
3,
4,
5,
3,
3,
3,
2,
3,
3,
5,
4,
3,
2,
4,
4,
4,
2,
3,
4,
3,
3,
2,
2,
3,
2,
7,
7,
3,
2,
2,
4,
2,
2,
2,
5,
3,
2,
3,
4,
2,
1,
3,
6,
4,
4,
2,
4,
2,
3,
2,
2,
2,
2,
2,
4,
2,
5,
3,
3,
4,
2,
4,
4,
2,
3,
4,
2,
2,
4,
2,
6,
3,
2,
2,
3,
3,
4,
6,
4,
4,
4,
3,
2,
2,
4,
2,
3,
3,
3,
4,
4,
1,
4,
8,
5,
4,
4,
4,
2,
2,
2,
4,
3,
2,
5,
5,
3,
5,
3,
3,
2,
4,
5,
4,
4,
3,
4,
4,
3,
4,
3,
2,
3,
3,
4,
3,
2,
4,
4,
4,
2,
2,
4,
4,
4,
3,
2,
4,
3,
3,
3,
5,
3,
3,
3,
3,
3,
2,
4,
5,
4,
4,
4,
4,
2,
2,
3,
3,
3,
3,
3,
3,
2,
2,
7,
2,
1,
2,
4,
4,
5,
3,
3,
4,
3,
3,
3,
3,
3,
2,
6,
3,
4,
8,
4,
4,
4,
7,
4,
3,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
3,
2,
3,
2,
3,
3,
3,
3,
2,
4,
4,
4,
2,
2,
2,
4,
4,
2,
6,
3,
2,
2,
2,
2,
2,
4,
4,
6,
3,
2,
2,
3,
3,
3,
5,
5,
2,
2,
3,
4,
3,
3,
3,
5,
4,
4,
2,
3,
3,
2,
2,
3,
4,
4,
3,
3,
7,
3,
3,
2,
4,
2,
2,
2,
4,
2,
3,
2,
2,
3,
6,
3,
3,
2,
3,
3,
2,
3,
3,
3,
3,
3,
5,
5,
2,
4,
3,
3,
3,
4,
4,
4,
2,
5,
2,
4,
3,
3,
4,
4,
3,
3,
2,
2,
2,
2,
3,
2,
4,
4,
4,
2,
3,
3,
3,
5,
5,
2,
4,
4,
3,
2,
3,
4,
4,
4,
3,
2,
4,
3,
2,
4,
4,
4,
2,
2,
2,
2,
2,
3,
3,
7,
6,
4,
3,
2,
3,
3,
3,
8,
5,
3,
4,
3,
3,
4,
2,
2,
2,
2,
3,
3,
5,
5,
3,
3,
4,
3,
3,
3,
2,
2,
4,
3,
2,
4,
4,
6,
6,
2,
2,
2,
3,
4,
2,
3,
3,
4,
2,
2,
3,
3,
4,
4,
4,
7,
4,
4,
4,
5,
3,
2,
2,
3,
5,
3,
2,
3,
2,
5,
3,
4,
2,
3,
2,
5,
2,
2,
2,
2,
3,
4,
4,
4,
4,
3,
3,
3,
2,
2,
3,
2,
7,
7,
4,
5,
4,
1,
1,
4,
1,
3,
3,
2,
5,
4,
2,
4,
5,
7,
4,
3,
4,
5,
2,
5,
4,
4,
3,
2,
1,
3,
2,
3,
3,
4,
2,
4,
2,
4,
4,
2,
3,
3,
3,
3,
2,
2,
3,
4,
2,
2,
5,
4,
4,
4,
6,
8,
3,
2,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
3,
3,
3,
4,
4,
2,
5,
2,
3,
2,
4,
5,
2,
2,
5,
5,
1,
2,
3,
3,
2,
3,
3,
7,
3,
5,
3,
4,
4,
1,
4,
2,
3,
3,
2,
2,
3,
4,
2,
3,
3,
2,
3,
4,
2,
4,
4,
4,
5,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
5,
2,
4,
2,
5,
2,
2,
2,
4,
5,
2,
2,
3,
2,
2,
2,
3,
1,
3,
2,
2,
4,
4,
3,
7,
3,
4,
2,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
6,
5,
4,
6,
4,
4,
4,
3,
2,
4,
6,
3,
3,
3,
7,
3,
2,
2,
4,
4,
2,
3,
3,
3,
4,
4,
2,
2,
2,
6,
6,
3,
4,
6,
3,
3,
2,
3,
5,
3,
2,
2,
2,
6,
2,
3,
4,
4,
4,
3,
3,
3,
3,
2,
2,
3,
4,
4,
5,
3,
3,
2,
3,
3,
3,
2,
3,
3,
2,
2,
2,
3,
4,
2,
3,
2,
4,
2,
2,
3,
4,
3,
1,
4,
3,
3,
2,
2,
3,
3,
3,
2,
4,
6,
6,
4,
3,
4,
3,
2,
4,
5,
3,
3,
3,
3,
2,
4,
3,
2,
4,
4,
3,
3,
4,
4,
2,
4,
4,
2,
3,
3,
3,
4,
4,
5,
4,
4,
3,
4,
4,
2,
4,
1,
4,
4,
2,
5,
4,
3,
4,
3,
2,
4,
4,
4,
2,
4,
2,
4,
3,
5,
7,
4,
4,
3,
3,
3,
5,
3,
3,
2,
3,
3,
3,
3,
4,
4,
2,
2,
2,
3,
8,
3,
3,
3,
3,
4,
5,
3,
2,
2,
2,
2,
4,
3,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
3,
3,
5,
4,
3,
4,
2,
2,
3,
2,
3,
4,
4,
7,
4,
4,
3,
3,
3,
6,
3,
3,
2,
6,
4,
2,
4,
3,
2,
2,
4,
2,
5,
5,
2,
2,
2,
3,
3,
2,
2,
3,
6,
4,
3,
3,
7,
7,
4,
4,
4,
5,
5,
6,
3,
2,
2,
2,
5,
2,
3,
4,
2,
5,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
3,
4,
2,
4,
2,
4,
4,
6,
5,
3,
5,
5,
5,
5,
5,
2,
4,
2,
4,
2,
4,
3,
3,
2,
3,
3,
9,
4,
4,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
5,
3,
4,
2,
2,
2,
3,
4,
3,
2,
3,
2,
4,
4,
4,
4,
1,
1,
2,
5,
2,
3,
2,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
2,
1,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
2,
3,
3,
3,
4,
5,
2,
4,
1,
2,
3,
3,
2,
4,
5,
5,
2,
4,
3,
3,
3,
3,
4,
2,
2,
6,
5,
5,
3,
1,
4,
2,
6,
3,
3,
4,
4,
2,
3,
3,
2,
5,
3,
4,
4,
4,
2,
4,
6,
4,
3,
3,
3,
3,
3,
3,
4,
4,
3,
5,
4,
4,
2,
2,
5,
7,
4,
4,
6,
4,
2,
5,
2,
3,
4,
4,
3,
2,
2,
6,
2,
2,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
3,
2,
4,
5,
2,
7,
3,
4,
3,
4,
2,
5,
4,
9,
3,
4,
3,
2,
2,
2,
3,
1,
3,
6,
2,
4,
4,
4,
4,
2,
5,
3,
3,
3,
5,
3,
4,
5,
2,
3,
2,
4,
2,
2,
4,
1,
2,
4,
3,
1,
5,
6,
4,
4,
3,
3,
4,
2,
4,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
7,
6,
2,
3,
4,
3,
2,
1,
2,
4,
5,
2,
3,
3,
3,
3,
2,
5,
5,
5,
3,
2,
4,
2,
4,
4,
2,
2,
4,
1,
2,
4,
4,
3,
3,
3,
3,
4,
2,
4,
3,
4,
4,
4,
2,
2,
2,
4,
4,
1,
2,
2,
3,
6,
5,
5,
2,
3,
2,
3,
3,
4,
4,
4,
3,
4,
4,
4,
4,
6,
3,
5,
2,
1,
3,
3,
4,
4,
2,
4,
6,
4,
2,
2,
2,
2,
2,
4,
4,
5,
2,
2,
4,
3,
6,
4,
2,
4,
4,
2,
2,
5,
2,
4,
2,
2,
3,
3,
2,
2,
2,
4,
5,
4,
2,
4,
4,
3,
3,
4,
2,
6,
4,
3,
1,
3,
5,
5,
2,
4,
5,
4,
5,
4,
2,
3,
2,
2,
5,
4,
2,
4,
5,
2,
3,
3,
2,
2,
2,
2,
2,
4,
3,
2,
2,
5,
2,
2,
3,
2,
2,
2,
4,
2,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
3,
3,
4,
3,
3,
4,
4,
3,
4,
3,
3,
4,
3,
2,
3,
3,
2,
3,
3,
3,
3,
4,
4,
4,
2,
3,
2,
2,
3,
3,
2,
3,
5,
2,
2,
3,
4,
4,
2,
4,
3,
3,
2,
4,
5,
2,
3,
3,
3,
4,
3,
3,
4,
3,
3,
3,
2,
2,
3,
4,
6,
5,
2,
2,
3,
3,
2,
2,
2,
4,
4,
3,
4,
3,
2,
2,
3,
4,
2,
4,
4,
2,
5,
3,
2,
2,
3,
2,
2,
3,
2,
4,
4,
4,
3,
5,
4,
4,
4,
4,
4,
3,
4,
2,
3,
5,
4,
2,
4,
2,
2,
4,
5,
2,
2,
2,
2,
5,
2,
4,
4,
2,
3,
1,
3,
2,
2,
2,
4,
5,
2,
2,
4,
2,
4,
4,
5,
2,
2,
6,
2,
4,
2,
3,
4,
3,
3,
5,
5,
2,
4,
4,
3,
2,
2,
4,
5,
4,
3,
2,
2,
2,
4,
4,
4,
4,
2,
3,
3,
4,
2,
3,
3,
1,
3,
4,
3,
3,
3,
2,
8,
3,
2,
3,
5,
3,
3,
2,
2,
2,
2,
4,
3,
3,
2,
2,
4,
4,
4,
4,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
4,
3,
8,
4,
2,
2,
4,
2,
4,
5,
2,
3,
4,
2,
3,
3,
2,
3,
5,
2,
2,
4,
3,
3,
5,
4,
6,
3,
4,
4,
2,
6,
5,
2,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
4,
3,
4,
2,
4,
4,
3,
3,
2,
2,
6,
4,
3,
3,
3,
3,
2,
3,
4,
3,
3,
2,
2,
3,
3,
3,
3,
3,
2,
3,
4,
4,
3,
3,
4,
2,
2,
3,
2,
2,
2,
2,
3,
3,
4,
5,
4,
2,
2,
2,
4,
3,
2,
2,
6,
5,
4,
4,
5,
3,
3,
2,
3,
2,
2,
4,
4,
3,
3,
2,
3,
4,
3,
4,
2,
5,
5,
4,
2,
2,
2,
3,
2,
2,
5,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
5,
5,
5,
2,
2,
2,
2,
2,
2,
3,
5,
3,
3,
3,
2,
6,
5,
6,
5,
4,
3,
7,
4,
3,
5,
4,
6,
10,
6,
7,
2,
5,
5,
4,
2,
2,
3,
2,
7,
3,
2,
3,
3,
4,
8,
7,
4,
4,
3,
3,
2,
2,
4,
2,
6,
3,
2,
2,
5,
7,
2,
2,
5,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
4,
3,
6,
3,
4,
3,
6,
2,
7,
4,
8,
4,
4,
3,
2,
2,
5,
3,
3,
2,
2,
2,
2,
4,
5,
2,
2,
5,
4,
2,
2,
2,
10,
2,
6,
2,
4,
3,
2,
2,
2,
4,
2,
2,
3,
2,
3,
4,
3,
3,
4,
4,
2,
3,
1,
3,
6,
3,
3,
4,
4,
4,
2,
4,
3,
3,
2,
2,
2,
5,
6,
3,
4,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
3,
5,
5,
4,
4,
3,
2,
2,
2,
4,
9,
9,
2,
2,
2,
2,
1,
3,
2,
4,
4,
3,
2,
2,
3,
2,
4,
4,
2,
4,
3,
3,
2,
2,
4,
4,
3,
4,
4,
2,
4,
3,
3,
3,
2,
4,
2,
2,
2,
4,
1,
2,
3,
4,
4,
2,
4,
4,
2,
2,
4,
2,
2,
3,
3,
4,
4,
3,
4,
3,
4,
4,
4,
2,
4,
6,
4,
4,
2,
4,
4,
3,
2,
4,
5,
3,
3,
3,
3,
2,
2,
3,
5,
3,
3,
3,
6,
4,
4,
2,
4,
3,
5,
2,
3,
2,
2,
2,
2,
3,
2,
3,
4,
4,
3,
4,
2,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
2,
4,
3,
3,
2,
3,
4,
4,
1,
2,
2,
3,
5,
2,
8,
8,
8,
3,
4,
4,
2,
4,
3,
3,
4,
4,
4,
4,
2,
3,
4,
3,
4,
4,
5,
3,
4,
4,
3,
4,
4,
2,
2,
2,
2,
8,
4,
2,
7,
3,
4,
4,
5,
2,
2,
2,
4,
4,
2,
4,
6,
6,
2,
6,
3,
2,
4,
4,
4,
5,
2,
3,
6,
5,
3,
3,
4,
4,
4,
3,
3,
3,
3,
1,
1,
3,
3,
2,
2,
3,
2,
6,
4,
3,
5,
4,
4,
3,
4,
4,
1,
2,
2,
2,
2,
3,
5,
2,
3,
5,
5,
2,
4,
4,
4,
6,
4,
2,
2,
4,
4,
5,
6,
3,
4,
4,
3,
3,
4,
3,
4,
6,
2,
2,
2,
4,
4,
2,
4,
2,
2,
2,
4,
4,
6,
5,
4,
4,
4,
4,
3,
2,
4,
4,
2,
2,
2,
4,
3,
2,
3,
2,
3,
2,
4,
2,
2,
3,
3,
4,
3,
7,
7,
3,
2,
3,
4,
2,
4,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
4,
3,
5,
2,
2,
4,
4,
3,
3,
3,
2,
4,
3,
2,
3,
2,
2,
4,
3,
2,
2,
3,
3,
4,
4,
4,
2,
2,
4,
2,
6,
5,
4,
5,
4,
4,
4,
4,
8,
8,
4,
6,
4,
2,
4,
6,
4,
4,
6,
5,
2,
2,
4,
4,
4,
3,
2,
2,
2,
5,
2,
2,
2,
2,
2,
3,
4,
4,
2,
4,
4,
4,
4,
2,
4,
4,
4,
4,
7,
2,
2,
5,
3,
5,
3,
4,
4,
4,
6,
4,
3,
3,
2,
2,
2,
2,
3,
3,
5,
4,
4,
3,
3,
3,
2,
4,
2,
4,
2,
4,
4,
4,
5,
2,
4,
2,
4,
7,
3,
3,
5,
3,
2,
4,
4,
4,
4,
2,
3,
5,
4,
3,
2,
3,
6,
4,
4,
3,
3,
4,
4,
2,
5,
4,
7,
5,
4,
2,
3,
2,
2,
4,
3,
4,
2,
4,
3,
6,
4,
2,
1,
4,
4,
2,
2,
2,
3,
3,
4,
4,
2,
4,
2,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
6,
6,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
2,
2,
4,
4,
3,
3,
3,
4,
4,
3,
2,
3,
1,
3,
3,
4,
4,
3,
5,
3,
3,
4,
2,
4,
4,
4,
2,
6,
4,
2,
4,
3,
2,
4,
6,
3,
2,
4,
2,
3,
4,
2,
5,
4,
4,
4,
3,
3,
3,
2,
2,
3,
2,
3,
4,
2,
3,
2,
3,
3,
3,
4,
2,
1,
4,
2,
2,
2,
3,
7,
4,
4,
2,
6,
4,
2,
2,
3,
2,
2,
3,
4,
3,
6,
2,
4,
5,
2,
2,
2,
2,
2,
3,
6,
2,
4,
3,
2,
4,
4,
5,
4,
3,
3,
4,
4,
2,
3,
3,
2,
5,
8,
4,
6,
2,
3,
6,
3,
3,
2,
6,
3,
2,
2,
3,
3,
4,
3,
1,
3,
4,
3,
2,
3,
3,
2,
5,
4,
2,
2,
5,
3,
3,
3,
4,
2,
4,
3,
8,
4,
2,
1,
2,
2,
2,
4,
4,
2,
4,
4,
2,
5,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
5,
4,
2,
3,
2,
3,
4,
3,
3,
4,
5,
5,
4,
6,
6,
3,
2,
2,
4,
2,
2,
4,
4,
4,
2,
2,
3,
2,
2,
4,
2,
4,
3,
5,
3,
4,
5,
8,
2,
1,
2,
4,
5,
3,
3,
4,
4,
5,
3,
3,
4,
3,
3,
4,
3,
3,
2,
4,
4,
5,
2,
3,
4,
1,
5,
4,
4,
4,
3,
2,
2,
6,
3,
3,
3,
4,
2,
5,
5,
2,
3,
2,
3,
2,
4,
5,
3,
2,
3,
3,
2,
2,
3,
3,
3,
5,
4,
3,
3,
3,
2,
2,
2,
2,
3,
2,
4,
3,
3,
1,
1,
2,
2,
1,
2,
2,
2,
4,
4,
3,
3,
2,
2,
3,
3,
4,
4,
2,
3,
4,
5,
3,
2,
4,
2,
2,
2,
8,
4,
4,
4,
4,
2,
2,
4,
4,
4,
4,
6,
3,
3,
2,
2,
4,
5,
2,
2,
4,
4,
3,
3,
3,
7,
7,
2,
7,
3,
2,
2,
2,
4,
5,
4,
2,
2,
2,
2,
2,
4,
5,
4,
4,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
2,
4,
4,
2,
2,
4,
4,
2,
3,
6,
4,
3,
3,
4,
4,
4,
2,
3,
3,
4,
3,
2,
3,
3,
4,
4,
5,
3,
2,
4,
2,
4,
4,
5,
1,
2,
4,
5,
4,
3,
4,
4,
5,
5,
2,
4,
2,
4,
4,
4,
4,
4,
2,
3,
2,
4,
3,
3,
2,
3,
6,
3,
3,
3,
5,
2,
5,
4,
4,
4,
3,
4,
4,
4,
2,
3,
2,
4,
2,
3,
2,
3,
2,
2,
4,
2,
4,
2,
5,
4,
5,
6,
4,
4,
3,
4,
2,
2,
2,
3,
3,
2,
4,
4,
9,
4,
4,
4,
4,
2,
4,
5,
5,
2,
4,
3,
2,
2,
2,
2,
2,
7,
6,
3,
3,
1,
2,
4,
6,
3,
5,
5,
4,
3,
6,
4,
4,
2,
3,
3,
5,
5,
5,
5,
3,
4,
4,
4,
3,
5,
5,
2,
4,
3,
5,
2,
5,
2,
4,
2,
6,
6,
4,
3,
4,
2,
2,
2,
2,
7,
6,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
2,
2,
2,
3,
4,
3,
2,
3,
4,
4,
3,
2,
2,
4,
3,
4,
5,
3,
2,
3,
1,
2,
3,
3,
4,
3,
2,
4,
4,
4,
4,
3,
2,
8,
4,
2,
5,
4,
4,
3,
4,
4,
5,
2,
1,
4,
4,
2,
4,
2,
2,
2,
2,
3,
2,
4,
3,
4,
3,
3,
2,
3,
2,
2,
4,
4,
2,
3,
3,
2,
4,
2,
2,
4,
2,
4,
2,
2,
3,
2,
3,
2,
2,
3,
4,
4,
2,
4,
2,
4,
3,
7,
4,
4,
5,
4,
3,
4,
3,
3,
3,
3,
2,
2,
3,
3,
3,
3,
3,
4,
2,
3,
2,
7,
3,
2,
3,
3,
4,
2,
3,
3,
6,
2,
4,
3,
3,
3,
3,
2,
2,
4,
3,
3,
2,
2,
2,
3,
2,
2,
2,
6,
6,
2,
2,
5,
4,
4,
4,
4,
7,
7,
4,
4,
4,
4,
4,
4,
2,
2,
4,
8,
5,
4,
4,
3,
4,
3,
4,
4,
4,
4,
3,
3,
3,
3,
4,
3,
2,
2,
1,
2,
4,
3,
3,
3,
3,
3,
2,
5,
4,
4,
4,
3,
3,
5,
5,
4,
4,
4,
4,
2,
6,
2,
4,
4,
4,
2,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
4,
3,
3,
3,
4,
4,
5,
3,
4,
4,
3,
2,
7,
3,
5,
4,
4,
5,
3,
2,
2,
2,
4,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
8,
4,
4,
7,
2,
4,
3,
5,
6,
5,
3,
3,
2,
7,
5,
3,
2,
4,
3,
4,
3,
2,
2,
3,
3,
3,
3,
3,
4,
3,
4,
4,
4,
4,
3,
6,
4,
4,
6,
7,
4,
4,
4,
4,
3,
3,
2,
4,
4,
3,
1,
3,
6,
3,
3,
3,
2,
5,
3,
2,
4,
2,
7,
4,
4,
2,
2,
2,
2,
3,
2,
4,
2,
2,
2,
2,
4,
4,
3,
1,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
4,
2,
2,
4,
4,
4,
4,
3,
6,
3,
3,
4,
2,
2,
2,
3,
2,
2,
4,
4,
4,
3,
3,
3,
3,
2,
4,
2,
4,
3,
5,
5,
3,
5,
4,
4,
5,
2,
3,
2,
3,
5,
5,
2,
3,
4,
4,
4,
3,
2,
6,
2,
3,
2,
2,
2,
4,
4,
6,
4,
3,
6,
2,
3,
2,
1,
4,
4,
3,
3,
4,
3,
3,
2,
2,
3,
2,
3,
3,
3,
3,
4,
3,
3,
4,
3,
2,
4,
4,
4,
8,
4,
5,
4,
4,
6,
3,
4,
4,
5,
2,
2,
4,
2,
2,
3,
3,
5,
5,
3,
4,
2,
2,
4,
4,
4,
4,
8,
6,
5,
4,
2,
4,
4,
4,
3,
2,
3,
2,
2,
2,
7,
2,
3,
4,
5,
4,
4,
4,
2,
3,
4,
3,
2,
3,
2,
2,
2,
4,
4,
4,
2,
2,
2,
4,
4,
4,
3,
3,
4,
4,
4,
2,
3,
3,
3,
4,
2,
2,
4,
4,
4,
4,
3,
2,
8,
2,
3,
4,
2,
2,
4,
3,
3,
4,
3,
3,
5,
5,
4,
4,
4,
2,
7,
4,
5,
4,
2,
2,
3,
2,
3,
5,
4,
4,
3,
3,
3,
2,
3,
3,
2,
4,
4,
4,
2,
3,
4,
4,
4,
3,
3,
4,
1,
2,
2,
2,
3,
2,
2,
2,
4,
2,
5,
2,
3,
3,
2,
2,
2,
5,
3,
1,
4,
4,
4,
4,
4,
3,
3,
2,
2,
3,
3,
2,
8,
1,
3,
4,
2,
2,
4,
3,
5,
4,
4,
4,
4,
4,
5,
3,
2,
3,
3,
3,
2,
1,
5,
5,
4,
4,
3,
4,
3,
4,
1,
2,
2,
3,
3,
4,
2,
5,
3,
4,
3,
3,
2,
3,
4,
4,
4,
4,
3,
3,
2,
2,
2,
3,
3,
2,
4,
4,
4,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
3,
8,
5,
3,
3,
2,
3,
3,
3,
7,
3,
3,
4,
4,
5,
5,
5,
2,
4,
2,
4,
2,
4,
4,
3,
2,
3,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
4,
3,
3,
3,
2,
2,
4,
3,
4,
6,
4,
3,
3,
4,
4,
2,
4,
3,
2,
3,
3,
4,
5,
4,
4,
4,
4,
5,
4,
4,
4,
4,
4,
2,
2,
2,
4,
3,
4,
4,
2,
3,
4,
4,
2,
3,
3,
2,
5,
2,
2,
3,
4,
3,
4,
4,
7,
4,
2,
2,
4,
4,
4,
4,
4,
3,
3,
2,
3,
8,
6,
6,
5,
3,
5,
2,
2,
7,
4,
4,
3,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
3,
5,
5,
4,
4,
3,
2,
2,
4,
4,
4,
4,
5,
5,
5,
6,
3,
3,
4,
4,
5,
8,
4,
3,
4,
5,
2,
2,
2,
3,
2,
3,
7,
3,
5,
2,
3,
2,
3,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2,
4,
2,
4,
3,
2,
2,
4,
2,
4,
4,
4,
4,
2,
3,
3,
4,
1,
4,
2,
4,
2,
6,
3,
2,
2,
4,
4,
6,
2,
3,
4,
4,
4,
4,
4,
3,
4,
2,
4,
2,
3,
5,
3,
4,
4,
4,
5,
4,
5,
4,
4,
4,
3,
2,
2,
2,
4,
3,
3,
3,
4,
4,
3,
3,
1,
3,
4,
4,
3,
4,
4,
4,
2,
2,
4,
5,
4,
2,
4,
2,
4,
4,
4,
2,
3,
3,
5,
4,
3,
4,
4,
2,
3,
3,
4,
2,
4,
3,
6,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
7,
4,
4,
3,
3,
7,
4,
3,
3,
2,
3,
3,
3,
3,
4,
3,
2,
3,
2,
4,
2,
5,
5,
3,
2,
5,
4,
4,
4,
2,
4,
4,
4,
3,
2,
2,
4,
5,
8,
7,
4,
2,
2,
3,
3,
3,
3,
5,
3,
3,
4,
4,
2,
4,
2,
4,
4,
2,
2,
4,
4,
2,
2,
3,
4,
4,
2,
5,
2,
2,
4,
5,
3,
2,
6,
2,
4,
3,
3,
4,
3,
4,
3,
6,
3,
4,
4,
4,
5,
4,
2,
2,
3,
2,
4,
2,
4,
2,
3,
3,
2,
2,
2,
4,
3,
2,
7,
3,
1,
4,
3,
4,
6,
4,
4,
2,
4,
3,
5,
3,
3,
5,
3,
3,
3,
5,
3,
1,
7,
4,
4,
3,
3,
3,
3,
2,
2,
4,
5,
3,
3,
3,
4,
4,
4,
4,
3,
2,
3,
3,
4,
2,
2,
3,
2,
2,
2,
2,
3,
2,
2,
4,
3,
3,
4,
4,
3,
2,
3,
3,
3,
3,
2,
4,
2,
2,
4,
7,
5,
3,
3,
4,
4,
5,
3,
3,
4,
2,
2,
2,
2,
4,
2,
4,
5,
3,
4,
3,
4,
8,
4,
4,
2,
2,
3,
4,
4,
1,
4,
4,
1,
3,
2,
3,
3,
3,
4,
4,
4,
3,
6,
5,
3,
4,
3,
2,
4,
2,
4,
4,
4,
4,
6,
6,
4,
3,
2,
3,
3,
4,
2,
2,
3,
4,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
2,
4,
7,
5,
4,
2,
3,
4,
6,
3,
4,
2,
2,
2,
2,
2,
2,
4,
1,
3,
4,
2,
2,
1,
2,
2,
3,
2,
2,
2,
3,
3,
3,
3,
4,
2,
2,
2,
4,
4,
4,
6,
6,
5,
5,
4,
7,
8,
1,
7,
8,
4,
4,
5,
2,
3,
3,
3,
4,
5,
4,
6,
9,
2,
2,
4,
4,
2,
4,
4,
3,
3,
3,
2,
2,
2,
3,
4,
4,
4,
3,
4,
2,
2,
4,
4,
4,
3,
4,
4,
4,
2,
3,
4,
2,
4,
4,
6,
5,
6,
3,
3,
4,
3,
4,
5,
5,
2,
3,
2,
3,
3,
3,
3,
2,
2,
2,
4,
2,
2,
3,
4,
2,
2,
2,
2,
2,
3,
3,
2,
6,
3,
4,
3,
2,
3,
2,
4,
3,
6,
3,
3,
3,
4,
3,
2,
3,
3,
3,
2,
2,
4,
2,
4,
5,
4,
3,
2,
2,
2,
5,
3,
4,
3,
3,
4,
3,
3,
4,
4,
3,
3,
2,
3,
3,
4,
10,
3,
3,
2,
1,
4,
3,
4,
4,
4,
4,
3,
2,
3,
2,
3,
3,
4,
2,
2,
4,
2,
3,
2,
3,
2,
3,
2,
2,
4,
3,
4,
2,
4,
4,
2,
4,
2,
7,
4,
4,
4,
5,
4,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
2,
2,
4,
4,
8,
6,
4,
3,
5,
2,
4,
3,
3,
5,
3,
4,
4,
4,
6,
8,
5,
1,
4,
4,
2,
2,
2,
2,
7,
7,
2,
4,
2,
7,
3,
4,
4,
2,
4,
3,
4,
5,
4,
4,
5,
4,
4,
2,
4,
3,
3,
3,
5,
3,
3,
3,
2,
3,
2,
2,
3,
4,
5,
1,
4,
3,
2,
2,
4,
5,
5,
5,
4,
4,
2,
2,
2,
3,
3,
4,
4,
4,
2,
2,
4,
3,
5,
4,
2,
4,
2,
4,
2,
3,
2,
3,
2,
3,
3,
4,
4,
4,
1,
4,
1,
4,
4,
3,
3,
4,
4,
4,
4,
4,
3,
5,
2,
7,
2,
4,
2,
4,
4,
2,
4,
2,
2,
3,
4,
3,
2,
3,
3,
2,
4,
2,
2,
1,
2,
2,
6,
5,
3,
4,
2,
5,
3,
1,
3,
6,
2,
3,
3,
5,
3,
4,
3,
5,
2,
3,
4,
4,
4,
2,
6,
6,
4,
2,
6,
2,
4,
2,
2,
4,
4,
2,
3,
3,
4,
4,
3,
2,
2,
2,
6,
2,
4,
4,
4,
3,
2,
3,
3,
4,
2,
8,
3,
3,
4,
5,
3,
4,
2,
2,
4,
2,
3,
3,
3,
3,
3,
5,
4,
2,
2,
2,
2,
3,
3,
2,
2,
2,
3,
3,
4,
4,
5,
2,
2,
4,
4,
3,
4,
2,
2,
1,
2,
2,
4,
1,
4,
2,
4,
2,
4,
2,
4,
4,
3,
2,
1,
3,
2,
3,
3,
2,
3,
3,
5,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
4,
5,
1,
4,
2,
5,
2,
4,
2,
3,
4,
3,
2,
4,
2,
4,
5,
2,
2,
3,
4,
4,
6,
4,
4,
4,
4,
4,
4,
5,
7,
5,
5,
4,
4,
2,
3,
3,
3,
4,
2,
4,
4,
4,
5,
4,
3,
3,
4,
5,
6,
4,
4,
3,
7,
4,
4,
4,
5,
4,
4,
6,
5,
5,
3,
3,
4,
4,
4,
6,
5,
5,
4,
6,
5,
3,
9,
6,
3,
3,
4,
3,
2,
4,
4,
4,
6,
3,
3,
3,
3,
3,
5,
3,
5,
6,
4,
2,
4,
4,
4,
4,
3,
2,
3,
2,
4,
6,
4,
6,
4,
2,
2,
4,
2,
4,
4,
2,
3,
3,
5,
4,
2,
4,
4,
5,
3,
3,
4,
4,
3,
5,
4,
2,
4,
4,
2,
3,
2,
2,
3,
2,
6,
7,
4,
4,
4,
4,
4,
2,
3,
3,
4,
4,
5,
2,
2,
3,
4,
3,
2,
4,
3,
3,
4,
2,
4,
3,
1,
5,
3,
4,
4,
8,
6,
4,
3,
2,
2,
2,
2,
2,
4,
4,
3,
2,
3,
2,
2,
5,
4,
5,
2,
3,
3,
3,
3,
2,
5,
4,
3,
3,
3,
3,
3,
3,
6,
2,
5,
2,
4,
4,
5,
4,
2,
4,
3,
3,
3,
3,
3,
3,
2,
2,
4,
4,
3,
4,
4,
4,
3,
5,
3,
2,
5,
4,
4,
4,
3,
3,
3,
2,
4,
4,
4,
4,
4,
7,
3,
2,
2,
4,
2,
3,
4,
3,
2,
3,
3,
3,
3,
2,
6,
4,
2,
4,
4,
3,
3,
4,
2,
4,
5,
2,
3,
3,
4,
4,
5,
4,
2,
2,
2,
2,
2,
4,
4,
4,
2,
2,
5,
4,
2,
2,
2,
3,
3,
3,
3,
5,
4,
4,
3,
3,
3,
3,
3,
3,
3,
9,
3,
4,
4,
4,
4,
3,
2,
2,
2,
4,
4,
3,
3,
3,
3,
3,
6,
5,
3,
3,
3,
6,
3,
1,
2,
2,
2,
3,
2,
2,
3,
7,
8,
4,
4,
4,
5,
1,
2,
2,
3,
4,
2,
5,
5,
2,
2,
4,
4,
2,
3,
6,
3,
3,
3,
2,
3,
4,
2,
5,
3,
2,
2,
4,
2,
4,
2,
4,
3,
4,
3,
6,
2,
2,
1,
3,
3,
2,
4,
6,
2,
2,
3,
3,
3,
5,
2,
3,
2,
2,
4,
3,
2,
3,
6,
3,
4,
4,
4,
6,
4,
2,
2,
4,
6,
2,
3,
3,
3,
3,
3,
1,
2,
4,
4,
2,
3,
4,
4,
4,
2,
2,
2,
3,
2,
4,
4,
4,
2,
2,
5,
3,
2,
2,
1,
2,
2,
2,
4,
2,
2,
3,
2,
4,
4,
3,
2,
4,
4,
4,
5,
4,
2,
2,
2,
5,
3,
3,
3,
3,
2,
4,
4,
1,
4,
3,
3,
4,
4,
4,
3,
3,
4,
6,
4,
2,
6,
4,
3,
3,
2,
3,
4,
3,
4,
3,
3,
4,
4,
4,
2,
2,
4,
4,
4,
4,
2,
4,
4,
2,
3,
3,
3,
2,
4,
5,
2,
2,
2,
3,
4,
4,
4,
3,
1,
3,
4,
3,
3,
3,
3,
3,
3,
2,
3,
4,
6,
4,
4,
4,
3,
3,
2,
4,
4,
3,
3,
4,
4,
4,
4,
2,
3,
6,
4,
2,
3,
3,
3,
3,
3,
2,
4,
4,
3,
3,
2,
3,
4,
2,
4,
3,
3,
2,
2,
2,
4,
4,
3,
3,
2,
4,
2,
3,
3,
3,
4,
3,
3,
3,
2,
5,
5,
2,
3,
4,
4,
4,
3,
3,
4,
2,
3,
2,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
2,
3,
5,
3,
3,
3,
2,
4,
4,
2,
2,
2,
4,
3,
3,
2,
3,
2,
4,
2,
3,
4,
7,
4,
3,
3,
4,
2,
2,
2,
3,
4,
3,
2,
2,
2,
4,
7,
3,
1,
4,
2,
2,
2,
3,
4,
4,
5,
2,
3,
4,
3,
3,
4,
7,
4,
4,
2,
3,
4,
3,
4,
2,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
2,
4,
2,
3,
2,
2,
3,
2,
5,
5,
3,
2,
4,
2,
3,
4,
3,
4,
3,
2,
2,
2,
2,
4,
2,
4,
3,
3,
3,
4,
4,
4,
4,
5,
2,
3,
3,
7,
6,
6,
5,
7,
2,
2,
2,
4,
3,
2,
2,
4,
3,
3,
4,
3,
4,
4,
4,
1,
4,
6,
2,
2,
3,
5,
5,
6,
3,
3,
3,
4,
2,
2,
2,
5,
2,
3,
3,
2,
2,
2,
2,
3,
2,
4,
4,
8,
3,
2,
3,
2,
3,
3,
4,
2,
4,
4,
4,
4,
4,
4,
2,
4,
3,
4,
4,
2,
5,
3,
2,
2,
2,
2,
3,
2,
3,
3,
3,
3,
3,
3,
4,
5,
1,
4,
4,
3,
4,
3,
4,
2,
4,
3,
3,
4,
2,
2,
3,
3,
3,
4,
4,
3,
2,
2,
3,
5,
2,
2,
3,
2,
2,
2,
2,
2,
3,
2,
2,
3,
2,
2,
5,
3,
5,
4,
4,
7,
3,
2,
2,
4,
3,
3,
2,
3,
5,
2,
3,
8,
4,
5,
3,
5,
2,
4,
5,
5,
5,
7,
4,
4,
4,
2,
2,
2,
2,
1,
2,
3,
2,
2,
3,
3,
2,
4,
4,
2,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
4,
4,
3,
2,
2,
6,
2,
4,
3,
5,
5,
7,
4,
4,
2,
4,
4,
2,
5,
4,
5,
5,
4,
4,
2,
3,
2,
2,
4,
2,
3,
5,
4,
3,
3,
4,
4,
2,
2,
4,
2,
2,
2,
4,
4,
4,
2,
4,
4,
4,
3,
4,
2,
4,
3,
4,
4,
3,
2,
2,
4,
4,
3,
4,
3,
5,
7,
2,
2,
3,
2,
3,
4,
2,
2,
2,
2,
3,
3,
3,
5,
3,
2,
4,
2,
3,
5,
2,
5,
3,
3,
2,
2,
2,
4,
2,
4,
2,
2,
2,
6,
2,
2,
2,
2,
2,
2,
2,
3,
4,
5,
3,
3,
3,
3,
4,
3,
4,
4,
4,
2,
3,
4,
2,
4,
3,
4,
5,
2,
4,
2,
5,
2,
2,
2,
2,
4,
6,
2,
4,
3,
2,
4,
2,
4,
3,
3,
4,
2,
5,
4,
4,
3,
3,
8,
4,
3,
3,
4,
3,
3,
3,
2,
3,
2,
3,
4,
5,
4,
2,
2,
2,
2,
4,
3,
2,
2,
2,
2,
2,
2,
4,
3,
2,
2,
2,
4,
3,
5,
4,
4,
7,
2,
3,
3,
2,
4,
3,
3,
2,
6,
3,
2,
4,
4,
3,
3,
2,
2,
2,
3,
4,
2,
4,
5,
2,
1,
2,
2,
4,
2,
4,
3,
3,
3,
2,
4,
4,
5,
3,
3,
3,
2,
2,
3,
2,
4,
3,
3,
2,
4,
3,
3,
4,
3,
2,
4,
4,
3,
3,
3,
3,
4,
3,
4,
6,
3,
2,
3,
2,
2,
6,
6,
5,
2,
4,
5,
3,
3,
3,
2,
4,
3,
4,
3,
4,
4,
4,
4,
2,
2,
4,
4,
2,
3,
4,
3,
2,
5,
4,
4,
2,
4,
2,
2,
4,
2,
2,
4,
3,
3,
3,
3,
2,
1,
4,
4,
4,
4,
2,
2,
4,
5,
3,
3,
3,
3,
4,
6,
3,
3,
2,
4,
3,
3,
5,
2,
2,
2,
3,
3,
3,
4,
3,
1,
4,
2,
1,
3,
4,
4,
4,
4,
5,
5,
6,
5,
3,
4,
2,
4,
4,
4,
6,
5,
2,
2,
4,
4,
4,
3,
7,
2,
4,
2,
4,
4,
4,
4,
3,
2,
4,
1,
3,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
3,
4,
2,
6,
2,
3,
4,
4,
3,
3,
4,
3,
5,
3,
4,
4,
2,
3,
3,
2,
7,
4,
4,
3,
5,
3,
2,
2,
2,
5,
4,
3,
4,
2,
5,
2,
2,
1,
2,
4,
2,
6,
6,
3,
1,
4,
4,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
2,
2,
8,
2,
2,
2,
6,
4,
8,
7,
8,
5,
2,
1,
1,
1,
4,
3,
1,
2,
4,
1,
5,
4,
4,
3,
2,
3,
3,
3,
4,
7,
9,
2,
4,
4,
3,
6,
4,
4,
2,
3,
2,
3,
3,
7,
3,
7,
2,
2,
2,
3,
3,
2,
2,
3,
3,
2,
3,
3,
1,
3,
2,
2,
2,
4,
6,
6,
2,
2,
3,
4,
3,
5,
5,
7,
3,
3,
5,
6,
2,
4,
4,
4,
3,
3,
3,
3,
2,
4,
2,
4,
2,
4,
2,
3,
2,
5,
2,
3,
3,
3,
3,
3,
2,
4,
4,
2,
2,
2,
4,
4,
3,
2,
3,
7,
4,
3,
2,
2,
2,
3,
2,
4,
1,
2,
2,
2,
4,
4,
4,
3,
3,
3,
4,
4,
5,
3,
4,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
2,
3,
1,
4,
4,
2,
2,
2,
2,
5,
3,
3,
2,
2,
3,
2,
3,
4,
2,
2,
2,
3,
2,
2,
3,
2,
1,
2,
6,
4,
4,
3,
3,
2,
2,
4,
2,
2,
2,
2,
3,
2,
3,
3,
2,
4,
3,
3,
3,
3,
2,
3,
3,
4,
3,
3,
5,
2,
3,
2,
2,
3,
6,
4,
4,
2,
3,
2,
4,
3,
4,
4,
4,
4,
2,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
1,
4,
2,
7,
5,
3,
3,
2,
4,
4,
4,
4,
4,
2,
3,
5,
4,
2,
2,
2,
3,
2,
2,
4,
3,
4,
4,
1,
2,
2,
3,
2,
4,
4,
2,
2,
2,
4,
6,
2,
2,
2,
1,
2,
4,
4,
2,
4,
3,
7,
3,
3,
2,
3,
2,
2,
3,
5,
3,
4,
4,
4,
5,
4,
2,
3,
3,
2,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
4,
6,
4,
5,
5,
2,
2,
4,
2,
3,
3,
3,
4,
1,
3,
3,
4,
2,
2,
4,
4,
3,
5,
6,
3,
5,
4,
3,
2,
2,
2,
4,
3,
2,
5,
5,
5,
4,
3,
4,
4,
4,
2,
5,
5,
5,
1,
3,
3,
4,
3,
4,
4,
3,
6,
4,
5,
5,
4,
4,
2,
3,
3,
2,
4,
4,
3,
2,
2,
2,
2,
2,
3,
4,
4,
2,
3,
2,
4,
5,
5,
4,
5,
3,
3,
3,
4,
3,
2,
4,
4,
4,
5,
3,
1,
5,
4,
5,
2,
5,
3,
3,
3,
4,
3,
2,
4,
4,
2,
2,
2,
6,
5,
5,
3,
2,
4,
2,
3,
1,
3,
2,
2,
2,
1,
5,
2,
2,
6,
4,
3,
2,
4,
2,
2,
4,
4,
3,
4,
2,
2,
3,
2,
2,
3,
3,
3,
4,
4,
6,
4,
5,
6,
3,
3,
3,
4,
2,
2,
2,
4,
3,
4,
3,
3,
4,
5,
2,
5,
4,
3,
3,
3,
3,
2,
2,
2,
2,
5,
3,
4,
3,
6,
4,
4,
7,
7,
3,
3,
2,
5,
5,
4,
4,
4,
3,
3,
2,
6,
4,
3,
3,
3,
3,
2,
4,
4,
3,
2,
2,
5,
3,
5,
7,
6,
2,
4,
5,
6,
4,
6,
4,
4,
2,
2,
3,
3,
3,
2,
3,
3,
2,
4,
1,
4,
4,
3,
2,
3,
5,
3,
2,
2,
2,
4,
3,
2,
2,
3,
1,
3,
4,
3,
4,
3,
3,
3,
4,
3,
3,
3,
3,
4,
2,
3,
3,
2,
2,
2,
8,
5,
4,
4,
2,
3,
4,
2,
3,
4,
4,
2,
2,
4,
4,
4,
3,
5,
2,
4,
5,
5,
4,
2,
3,
2,
4,
3,
3,
4,
2,
2,
1,
2,
2,
2,
3,
2,
4,
2,
2,
4,
4,
4,
2,
2,
2,
2,
2,
4,
2,
3,
3,
3,
2,
3,
5,
4,
3,
3,
3,
4,
3,
4,
2,
3,
4,
3,
3,
2,
3,
2,
2,
4,
2,
2,
2,
2,
6,
4,
2,
4,
4,
2,
1,
2,
6,
4,
4,
4,
4,
3,
2,
2,
2,
4,
4,
2,
4,
4,
2,
2,
5,
3,
4,
2,
2,
2,
2,
3,
2,
3,
4,
5,
4,
3,
3,
2,
3,
1,
6,
2,
2,
4,
3,
3,
3,
3,
4,
4,
3,
3,
4,
4,
4,
8,
8,
4,
3,
6,
3,
5,
4,
6,
3,
1,
3,
4,
3,
2,
2,
6,
4,
5,
3,
3,
3,
2,
3,
3,
4,
3,
3,
3,
4,
4,
5,
4,
2,
3,
4,
2,
2,
2,
6,
4,
2,
4,
3,
3,
3,
2,
5,
2,
2,
2,
4,
3,
3,
3,
3,
2,
3,
2,
2,
3,
3,
3,
4,
2,
4,
4,
4,
3,
3,
2,
3,
3,
2,
3,
4,
2,
5,
6,
4,
5,
3,
3,
4,
3,
2,
2,
4,
2,
3,
3,
4,
2,
2,
2,
6,
3,
5,
2,
3,
4,
2,
2,
3,
3,
2,
2,
3,
4,
4,
3,
2,
6,
4,
4,
3,
3,
4,
2,
2,
2,
4,
2,
2,
2,
4,
3,
2,
2,
2,
4,
2,
4,
4,
4,
2,
5,
4,
4,
4,
3,
3,
3,
4,
3,
4,
2,
2,
2,
2,
2,
2,
5,
2,
4,
7,
2,
4,
4,
4,
4,
5,
3,
3,
3,
3,
3,
2,
2,
4,
3,
2,
3,
3,
3,
2,
3,
3,
3,
2,
3,
3,
2,
2,
2,
2,
3,
4,
4,
3,
3,
3,
3,
4,
3,
5,
2,
2,
2,
2,
3,
3,
5,
5,
6,
3,
4,
2,
3,
2,
2,
2,
3,
7,
3,
1,
2,
2,
3,
2,
4,
4,
5,
2,
4,
3,
3,
4,
4,
4,
4,
6,
3,
2,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
4,
2,
2,
3,
4,
5,
3,
3,
5,
5,
3,
2,
2,
3,
3,
4,
2,
2,
4,
2,
2,
1,
2,
3,
2,
4,
2,
1,
2,
2,
4,
4,
5,
4,
2,
3,
2,
5,
5,
3,
5,
4,
4,
2,
4,
3,
3,
3,
2,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
2,
2,
3,
2,
3,
4,
3,
4,
4,
2,
4,
4,
4,
5,
2,
2,
4,
3,
3,
3,
2,
4,
5,
3,
4,
3,
3,
2,
5,
2,
2,
2,
4,
5,
8,
3,
4,
4,
4,
3,
3,
3,
3,
5,
5,
4,
4,
4,
4,
2,
3,
4,
4,
3,
2,
2,
2,
2,
4,
4,
4,
4,
2,
4,
5,
3,
2,
2,
2,
2,
1,
3,
4,
4,
6,
2,
3,
2,
3,
3,
7,
7,
4,
4,
3,
2,
3,
4,
4,
3,
4,
2,
3,
2,
2,
3,
3,
4,
4,
3,
5,
5,
2,
4,
4,
2,
2,
4,
4,
4,
5,
2,
4,
3,
3,
4,
4,
4,
3,
2,
4,
2,
2,
1,
2,
2,
2,
2,
3,
3,
2,
4,
2,
2,
1,
3,
5,
3,
4,
3,
3,
3,
4,
5,
4,
8,
2,
2,
4,
4,
7,
3,
4,
4,
5,
2,
2,
5,
2,
2,
5,
4,
4,
4,
4,
2,
2,
3,
4,
3,
2,
2,
2,
2,
3,
2,
4,
4,
7,
3,
2,
2,
2,
7,
4,
4,
3,
2,
4,
2,
2,
2,
3,
3,
5,
3,
5,
3,
4,
1,
4,
4,
2,
4,
2,
2,
3,
5,
5,
2,
4,
4,
5,
3,
4,
4,
4,
4,
3,
3,
4,
6,
2,
4,
3,
4,
6,
6,
3,
3,
4,
4,
1,
1,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
2,
4,
2,
5,
4,
2,
2,
2,
4,
4,
2,
4,
4,
4,
3,
2,
3,
3,
3,
4,
2,
3,
4,
4,
3,
3,
3,
3,
3,
2,
3,
3,
1,
5,
3,
5,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
2,
2,
3,
2,
5,
2,
4,
3,
4,
4,
4,
3,
3,
2,
2,
4,
4,
5,
2,
2,
2,
3,
4,
2,
1,
2,
2,
2,
4,
3,
4,
2,
2,
3,
3,
2,
2,
2,
2,
4,
2,
2,
2,
4,
4,
2,
2,
2,
2,
2,
4,
5,
4,
2,
4,
4,
5,
2,
3,
4,
4,
3,
4,
3,
2,
4,
3,
3,
4,
2,
3,
4,
3,
3,
3,
3,
3,
3,
2,
1,
3,
4,
3,
7,
5,
4,
4,
3,
3,
2,
2,
4,
4,
2,
3,
4,
2,
4,
3,
3,
3,
2,
4,
4,
4,
3,
2,
3,
4,
2,
2,
2,
2,
4,
3,
5,
4,
4,
3,
4,
4,
4,
3,
2,
2,
2,
4,
1,
2,
5,
2,
2,
2,
2,
2,
7,
3,
4,
3,
4,
2,
2,
4,
3,
3,
4,
4,
2,
2,
2,
3,
3,
4,
4,
4,
2,
4,
2,
2,
4,
2,
2,
4,
4,
3,
2,
3,
5,
5,
4,
2,
4,
4,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
4,
2,
2,
2,
2,
2,
2,
2,
2,
2,
2,
3,
4,
4,
3,
7,
3,
2,
2,
2,
4,
2,
2,
2,
3,
4,
4,
3,
6,
4,
3,
7,
3,
2,
4,
4,
4,
2,
2,
2,
2,
1,
5,
6,
5,
2,
4,
3,
4,
2,
4,
2,
1,
4,
1,
4,
5,
3,
4,
4,
4,
3,
6,
2,
2,
2,
3,
4,
2,
2,
2,
2,
2,
4,
3,
2,
2,
6,
4,
5,
4,
2,
4,
3,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
2,
3,
3,
3,
2,
3,
4,
4,
3,
2,
2,
4,
4,
3,
2,
3,
3,
2,
4,
4,
2,
4,
8,
4,
7,
5,
6,
5,
4,
3,
3,
2,
5,
4,
3,
4,
3,
4,
3,
3,
2,
4,
3,
3,
4,
4,
3,
3,
3,
3,
2,
3,
4,
2,
2,
3,
4,
4,
4,
4,
4,
3,
3,
3,
2,
4,
4,
2,
2,
4,
5,
2,
2,
2,
5,
3,
3,
5,
4,
3,
4,
2,
2,
2,
4,
4,
1,
2,
4,
2,
4,
4,
2,
2,
4,
4,
2,
2,
2,
6,
2,
3,
2,
1,
2,
2,
3,
2,
2,
3,
3,
3,
2,
2,
4,
3,
5,
5,
3,
3,
3,
3,
4,
4,
3,
3,
4,
2,
2,
3,
3,
3,
5,
3,
3,
4,
4,
5,
3,
4,
5,
2,
5,
3,
3,
2,
3,
3,
2,
4,
2,
2,
2,
2,
4,
2,
2,
2,
2,
2,
3,
3,
2,
5,
2,
2,
5,
5,
5,
4,
2,
6,
6,
3,
2,
2,
4,
2,
5,
5,
2,
2,
2,
2,
2,
4,
2,
2,
2,
2,
3,
5,
4,
3,
3,
2,
2,
2,
3,
4,
2,
3,
4,
4,
3,
2,
2,
6,
2,
2,
4,
2,
2,
2,
4,
3,
5,
6,
6,
6,
3,
2,
4,
2,
4,
5,
2,
2,
4,
2,
4,
5,
5,
2,
4,
4,
4,
4,
4,
2,
2,
4,
5,
3,
4,
4,
2,
2,
2,
2,
3,
2,
3,
4,
3,
3,
3,
2,
2,
4,
8,
2,
3,
3,
3,
4,
4,
5,
4,
4,
4,
4,
2,
4,
3,
2,
2,
2,
2,
8,
3,
4,
4,
2,
2,
2,
4,
3,
2,
4,
4,
2,
3,
2,
2,
4,
3,
3,
1,
6,
7,
7,
4,
3,
4,
2,
5,
6,
6,
4,
4,
3,
4,
4,
4,
4,
3,
3,
3,
3,
7,
4,
2,
4,
4,
4,
1,
2,
2,
3,
2,
3,
3,
4,
2,
4,
5,
3,
3,
4,
3,
3,
2,
2,
2,
2,
6,
2,
2,
2,
4,
3,
4,
4,
4,
4,
3,
2,
2,
5,
3,
2,
2,
4,
4,
3,
3,
3,
4,
3,
5,
2,
5,
2,
5,
4,
2,
5,
3,
4,
7,
2,
2,
3,
3,
2,
3,
3,
2,
3,
2,
3,
2,
3,
3,
4,
2,
5,
4,
3,
3,
2,
2,
4,
3,
2,
3,
3,
2,
2,
2,
3,
3,
4,
4,
2,
3,
2,
2,
2,
2,
2,
4,
4,
4,
7,
4,
4,
4,
3,
3,
3,
5,
3,
4,
4,
2,
2,
4,
4,
2,
4,
7,
2,
4,
3,
3,
3,
4,
2,
3,
4,
3,
2,
1,
5,
2,
4,
3,
5,
6,
2,
3,
3,
4,
4,
4,
4,
4,
2,
3,
4,
2,
2,
4,
3,
3,
2,
2,
2,
2,
3,
4,
2,
2,
3,
5,
5,
3,
3,
2,
2,
3,
2,
8,
2,
3,
4,
6,
2,
5,
5,
5,
2,
4,
4,
2,
4,
3,
4,
4,
3,
3,
7,
2,
3,
5,
2,
1,
2,
3,
1,
3,
1,
1,
4,
3,
2,
2,
2,
4,
2,
2,
4,
2,
4,
2,
2,
2,
2,
2,
2,
4,
3,
2,
4,
9,
6,
4,
4,
3,
3,
4,
4,
4,
4,
3,
2,
4,
2,
2,
2,
2,
4,
2,
4,
7,
5,
4,
4,
4,
5,
4,
4,
4,
3,
2,
4,
4,
4,
4,
2,
2,
2,
4,
4,
3,
4,
2,
2,
6,
5,
2,
2,
4,
4,
5,
3,
2,
3,
3,
4,
4,
2,
5,
5,
2,
3,
5,
4,
3,
3,
3,
3,
2,
4,
4,
2,
4,
4,
2,
3,
4,
2,
2,
4,
4,
4,
3,
4,
2,
2,
5,
7,
5,
6,
4,
4,
6,
6,
5,
3,
2,
2,
2,
4,
4,
4,
3,
3,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
2,
3,
6,
3,
3,
2,
3,
2,
2,
4,
5,
6,
4,
2,
3,
4,
2,
2,
3,
4,
2,
2,
4,
8,
4,
4,
4,
4,
2,
4,
3,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
5,
3,
4,
3,
2,
3,
4,
3,
3,
3,
4,
3,
3,
2,
5,
4,
4,
4,
4,
4,
4,
3,
3,
3,
4,
3,
2,
2,
4,
4,
2,
2,
3,
4,
5,
4,
2,
2,
3,
4,
3,
2,
4,
2,
4,
3,
3,
4,
4,
4,
2,
3,
3,
2,
4,
3,
3,
4,
4,
4,
3,
4,
3,
3,
5,
5,
3,
3,
3,
4,
4,
2,
4,
4,
4,
4,
2,
5,
3,
1,
2,
2,
3,
2,
3,
3,
3,
3,
6,
2,
2,
3,
2,
2,
6,
2,
3,
3,
5,
4,
5,
2,
4,
2,
3,
2,
3,
4,
4,
2,
3,
2,
3,
2,
2,
2,
5,
4,
5,
4,
3,
6,
5,
4,
7,
3,
3,
4,
2,
3,
3,
4,
2,
2,
2,
5,
2,
4,
2,
6,
3,
4,
2,
2,
3,
2,
2,
3,
4,
2,
2,
6,
3,
4,
4,
4,
3,
6,
2,
4,
4,
3,
3,
5,
4,
6,
4,
3,
4,
3,
2,
2,
6,
3,
5,
5,
1,
2,
4,
2,
3,
3,
4,
4,
2,
2,
2,
4,
2,
4,
6,
7,
4,
4,
3,
3,
4,
6,
3,
2,
4,
4,
3,
4,
2,
2,
4,
2,
4,
2,
2,
4,
3,
4,
4,
2,
4,
3,
2,
4,
5,
4,
2,
3,
1,
3,
4,
2,
2,
4,
4,
4,
4,
4,
5,
3,
3,
5,
3,
2,
4,
2,
2,
2,
4,
3,
2,
3,
3,
2,
3,
3,
3,
6,
8,
4,
2,
4,
4,
3,
4,
5,
3,
4,
3,
6,
6,
2,
4,
2,
3,
3,
3,
2,
3,
2,
2,
2,
5,
3,
2,
3,
3,
2,
4,
4,
4,
4,
5,
5,
3,
3,
2,
4,
2,
2,
2,
2,
3,
3,
3,
3,
3,
2,
5,
2,
4,
5,
4,
3,
2,
4,
2,
2,
2,
3,
4,
2,
5,
6,
4,
3,
4,
2,
2,
4,
4,
3,
3,
2,
2,
1,
4,
4,
4,
4,
4,
7,
3,
4,
4,
2,
5,
3,
2,
2,
2,
3,
2,
4,
4,
4,
4,
2,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
3,
3,
3,
5,
3,
4,
4,
3,
3,
2,
5,
5,
5,
2,
2,
3,
2,
3,
6,
2,
2,
4,
3,
3,
3,
4,
3,
3,
3,
3,
7,
3,
2,
3,
2,
2,
3,
3,
2,
2,
3,
3,
6,
3,
3,
3,
3,
3,
3,
1,
5,
5,
1,
1,
4,
4,
1,
3,
3,
6,
4,
3,
5,
3,
5,
4,
5,
2,
8,
2,
4,
4,
4,
3,
2,
4,
3,
4,
2,
4,
3,
3,
4,
2,
3,
4,
4,
4,
5,
2,
4,
3,
2,
3,
2,
4,
2,
5,
4,
7,
5,
2,
4,
4,
4,
1,
1,
3,
4,
4,
3,
2,
3,
1,
6,
8,
8,
4,
2,
2,
3,
4,
4,
2,
4,
2,
4,
4,
3,
3,
4,
4,
4,
3,
4,
2,
5,
5,
3,
4,
4,
5,
5,
4,
3,
4,
4,
5,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
2,
2,
5,
5,
3,
2,
5,
5,
4,
4,
3,
3,
3,
2,
4,
2,
4,
2,
4,
4,
2,
2,
2,
3,
3,
3,
2,
4,
4,
2,
6,
3,
4,
3,
3,
3,
4,
4,
3,
2,
2,
4,
2,
4,
5,
3,
3,
3,
5,
5,
2,
1,
2,
4,
2,
3,
2,
4,
6,
4,
4,
3,
3,
3,
7,
6,
2,
2,
4,
4,
2,
4,
4,
2,
2,
4,
3,
3,
2,
4,
3,
3,
2,
2,
2,
4,
4,
3,
3,
3,
2,
3,
2,
1,
2,
4,
2,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
5,
5,
5,
3,
7,
4,
4,
2,
2,
3,
4,
2,
5,
2,
2,
2,
3,
3,
2,
3,
2,
2,
8,
4,
4,
2,
4,
5,
5,
5,
4,
4,
2,
3,
3,
4,
5,
5,
5,
5,
3,
2,
2,
3,
3,
3,
3,
4,
4,
2,
2,
3,
2,
2,
3,
3,
4,
5,
4,
2,
4,
2,
8,
6,
4,
2,
3,
5,
2,
4,
4,
3,
3,
3,
2,
2,
4,
3,
3,
3,
3,
1,
2,
1,
2,
2,
3,
4,
4,
2,
4,
6,
2,
5,
9,
4,
2,
4,
4,
4,
3,
3,
3,
6,
3,
3,
2,
6,
4,
3,
3,
4,
5,
3,
3,
3,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
4,
2,
3,
3,
4,
5,
3,
3,
3,
7,
7,
7,
3,
2,
4,
2,
5,
5,
2,
3,
4,
4,
3,
2,
3,
3,
2,
5,
3,
4,
6,
2,
3,
2,
4,
5,
4,
4,
3,
4,
2,
2,
2,
3,
3,
3,
3,
2,
6,
3,
4,
4,
4,
3,
5,
3,
6,
3,
3,
5,
4,
4,
3,
4,
6,
2,
2,
4,
4,
4,
4,
3,
4,
3,
4,
3,
3,
3,
4,
5,
4,
4,
4,
4,
5,
5,
4,
2,
5,
4,
4,
2,
3,
4,
2,
2,
2,
3,
4,
6,
4,
5,
5,
5,
5,
2,
2,
2,
3,
3,
4,
4,
4,
2,
4,
5,
3,
4,
4,
4,
3,
2,
2,
4,
4,
2,
2,
2,
4,
2,
2,
4,
4,
4,
3,
3,
3,
2,
2,
6,
2,
2,
4,
4,
5,
5,
3,
4,
4,
4,
4,
3,
4,
3,
3,
3,
4,
3,
2,
4,
3,
3,
3,
2,
6,
2,
3,
4,
4,
2,
4,
2,
2,
3,
4,
2,
2,
2,
2,
3,
3,
2,
4,
2,
2,
4,
4,
4,
5,
3,
3,
4,
3,
2,
2,
2,
4,
4,
2,
3,
5,
2,
2,
2,
2,
2,
2,
2,
6,
4,
3,
3,
4,
2,
3,
2,
4,
4,
4,
2,
3,
3,
3,
3,
3,
4,
2,
4,
1,
1,
4,
4,
3,
5,
5,
5,
3,
2,
4,
4,
6,
8,
2,
2,
4,
5,
2,
5,
5,
1,
2,
2,
2,
2,
5,
4,
7,
5,
2,
2,
4,
3,
3,
3,
3,
4,
6,
6,
5,
3,
5,
3,
4,
3,
2,
3,
4,
3,
3,
3,
3,
5,
2,
4,
4,
4,
5,
3,
5,
3,
3,
2,
4,
6,
4,
2,
3,
3,
3,
3,
4,
4,
2,
3,
4,
3,
2,
2,
3,
3,
2,
4,
4,
5,
3,
4,
3,
3,
3,
3,
3,
4,
8,
4,
4,
4,
2,
2,
3,
3,
4,
4,
3,
3,
3,
4,
4,
3,
5,
4,
5,
2,
6,
4,
4,
3,
3,
2,
2,
2,
5,
2,
3,
2,
2,
2,
2,
3,
4,
4,
2,
3,
2,
2,
4,
4,
5,
3,
6,
4,
3,
3,
6,
3,
7,
7,
2,
3,
2,
1,
5,
4,
5,
5,
4,
5,
4,
5,
2,
4,
4,
4,
4,
4,
4,
3,
2,
2,
2,
2,
2,
8,
3,
4,
4,
3,
2,
3,
3,
4,
4,
4,
3,
3,
4,
3,
4,
3,
4,
5,
2,
2,
7,
4,
2,
3,
2,
6,
7,
8,
8,
2,
2,
2,
3,
3,
4,
7,
3,
3,
5,
2,
6,
3,
4,
4,
2,
5,
5,
4,
4,
4,
2,
4,
4,
9,
2,
4,
2,
3,
5,
5,
5,
3,
7,
1,
3,
4,
4,
4,
7,
2,
2,
3,
4,
4,
4,
2,
5,
4,
2,
4,
5,
5,
3,
2,
3,
2,
3,
3,
3,
3,
2,
5,
4,
4,
2,
2,
3,
4,
4,
4,
5,
3,
3,
2,
4,
4,
5,
7,
3,
2,
4,
2,
4,
4,
4,
5,
4,
2,
4,
5,
6,
3,
3,
4,
4,
4,
4,
2,
6,
6,
4,
4,
4,
3,
3,
3,
3,
4,
4,
3,
4,
4,
4,
3,
3,
3,
3,
3,
2,
2,
4,
4,
4,
2,
4,
4,
2,
1,
4,
3,
4,
4,
2,
2,
4,
6,
3,
4,
2,
2,
3,
4,
3,
2,
4,
6,
4,
4,
4,
3,
2,
2,
3,
3,
3,
3,
4,
5,
6,
3,
6,
2,
4,
3,
4,
4,
3,
4,
9,
4,
6,
4,
5,
3,
4,
4,
4,
5,
3,
2,
2,
4,
3,
5,
3,
4,
4,
5,
4,
3,
3,
4,
5,
4,
3,
3,
3,
2,
4,
4,
3,
3,
3,
5,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
5,
3,
3,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
8,
3,
4,
4,
4,
4,
5,
3,
4,
6,
6,
4,
4,
3,
5,
3,
3,
4,
4,
2,
6,
4,
3,
3,
4,
6,
5,
3,
5,
3,
4,
4,
4,
3,
3,
3,
3,
5,
5,
4,
2,
5,
4,
3,
5,
4,
3,
2,
9,
1,
2,
2,
3,
3,
2,
3,
4,
4,
4,
3,
4,
5,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
3,
3,
4,
3,
2,
2,
1,
4,
2,
2,
2,
2,
2,
3,
2,
3,
4,
2,
3,
2,
3,
1,
1,
3,
4,
4,
4,
3,
2,
2,
2,
3,
4,
2,
4,
4,
2,
2,
2,
5,
4,
2,
2,
4,
4,
4,
4,
3,
2,
2,
2,
4,
4,
4,
3,
4,
4,
4,
2,
5,
4,
2,
4,
4,
4,
2,
3,
3,
2,
2,
4,
2,
2,
2,
2,
5,
4,
4,
4,
2,
2,
4,
3,
4,
3,
4,
1,
3,
6,
3,
5,
3,
6,
2,
2,
3,
2,
3,
4,
4,
3,
5,
5,
4,
4,
3,
3,
3,
3,
3,
2,
4,
3,
3,
4,
2,
2,
7,
2,
3,
3,
3,
6,
7,
2,
2,
2,
2,
3,
4,
4,
3,
3,
4,
5,
5,
4,
2,
4,
4,
4,
6,
2,
2,
3,
3,
3,
2,
2,
2,
1,
6,
3,
2,
3,
3,
5,
2,
4,
2,
2,
2,
3,
4,
2,
2,
4,
3,
5,
1,
3,
4,
4,
4,
3,
2,
3,
5,
2,
3,
4,
4,
4,
4,
2,
2,
2,
6,
2,
3,
3,
3,
4,
4,
4,
3,
3,
4,
4,
4,
4,
4,
4,
3,
3,
4,
5,
2,
4,
4,
4,
6,
2,
4,
3,
3,
3,
3,
3,
5,
4,
2,
3,
3,
2,
3,
2,
3,
2,
2,
2,
6,
7,
4,
3,
3,
3,
4,
4,
2,
4,
2,
2,
3,
4,
2,
4,
4,
3,
3,
3,
3,
3,
2,
4,
2,
4,
4,
3,
3,
2,
4,
2,
2,
7,
2,
3,
2,
2,
4,
3,
3,
7,
3,
3,
4,
3,
2,
2,
2,
5,
2,
3,
3,
3,
4,
4,
4,
4,
4,
3,
5,
4,
3,
4,
4,
2,
2,
4,
3,
2,
3,
2,
2,
2,
2,
4,
2,
3,
4,
2,
3,
2,
5,
3,
4,
4,
3,
3,
3,
3,
3,
5,
3,
3,
3,
4,
3,
3,
4,
4,
4,
4,
2,
3,
2,
4,
2,
5,
2,
2,
1,
2,
2,
2,
3,
3,
3,
3,
4,
4,
3,
3,
3,
3,
2,
3,
3,
3,
3,
3,
4,
4,
4,
3,
5,
3,
3,
3,
3,
2,
3,
2,
3,
4,
4,
2,
4,
3,
1,
2,
3,
3,
3,
2,
3,
2,
4,
4,
4,
2,
2,
2,
2,
2,
2,
5,
3,
2,
3,
3,
3,
5,
4,
2,
2,
4,
2,
2,
4,
3,
3,
4,
2,
2,
4,
3,
3,
2,
4,
4,
3,
3,
3,
2,
2,
7,
3,
3,
2,
2,
2,
3,
3,
4,
4,
4,
4,
4,
2,
2,
3,
4,
3,
3,
3,
4,
4,
3,
4,
3,
2,
4,
4,
3,
2,
2,
4,
4,
2,
4,
3,
5,
2,
6,
2,
2,
4,
4,
4,
2,
4,
2,
2,
4,
2,
2,
2,
4,
3,
4,
2,
3,
2,
3,
6,
1,
4,
4,
7,
7,
4,
4,
4,
4,
2,
3,
3,
3,
3,
5,
3,
4,
4,
2,
2,
4,
2,
4,
4,
1,
2,
4,
2,
2,
3,
4,
4,
4,
2,
3,
4,
5,
3,
2,
3,
5,
3,
3,
3,
5,
3,
3,
4,
4,
5,
4,
4,
4,
3,
3,
5,
2,
6,
3,
4,
3,
2,
1,
4,
2,
3,
4,
2,
4,
2,
3,
4,
4,
4,
4,
4,
4,
4,
2,
2,
3,
2,
2,
2,
7,
4,
3,
5,
2,
2,
2,
2,
4,
2,
3,
4,
4,
2,
4,
3,
3,
5,
6,
3,
5,
7,
3,
2,
4,
4,
4,
3,
4,
4,
3,
3,
3,
5,
2,
3,
2,
4,
4,
4,
4,
3,
2,
4,
3,
2,
4,
3,
3,
3,
3,
3,
3,
3,
3,
2,
2,
4,
2,
2,
2,
5,
6,
4,
3,
7,
7,
4,
4,
2,
3,
3,
2,
4,
2,
3,
2,
2,
2,
4,
4,
6,
4,
5,
3,
3,
2,
2,
5,
5,
4,
3,
4,
5,
7,
3,
2,
3,
4,
3,
3,
3,
3,
3,
3,
2,
3,
2,
4,
5,
5,
4,
2,
4,
6,
4,
4,
2,
4,
4,
3,
6,
4,
2,
4,
4,
2,
3,
3,
3,
3,
3,
2,
4,
3,
3,
4,
4,
4,
4,
4,
2,
2,
2,
2,
2,
2,
4,
4,
5,
2,
2,
5,
2,
4,
2,
2,
2,
3,
4,
4,
2,
2,
2,
2,
5,
4,
4,
2,
2,
2,
5,
4,
3,
3,
2,
4,
3,
4,
4,
4,
2,
5,
5,
4,
4,
4,
4,
3,
2,
3,
3,
2,
2,
2,
2,
2,
2,
3,
5,
4,
4,
4,
1,
4,
5,
5,
4,
4,
4,
5,
3,
5,
2,
3,
2,
4,
2,
8,
4,
4,
4,
4,
2,
4,
3,
2,
6,
4,
4,
2,
4,
3,
4,
4,
4,
3,
3,
4,
4,
3,
2,
2,
2,
3,
2,
3,
3,
3,
3,
2,
2,
3,
3,
1,
2,
2,
2,
3,
2,
2,
5,
3,
4,
2,
3,
7,
2,
6,
4,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
3,
3,
2,
3,
5,
4,
4,
4,
3,
3,
4,
4,
5,
3,
3,
3,
3,
3,
2,
3,
8,
7,
8,
9,
2,
4,
2,
4,
4,
3,
4,
3,
3,
7,
4,
5,
4,
4,
6,
4,
4,
2,
4,
3,
3,
3,
6,
6,
2,
2,
2,
3,
3,
6,
4,
2,
3,
6,
4,
2,
2,
5,
2,
4,
3,
4,
3,
2,
2,
4,
3,
4,
4,
4,
2,
3,
3,
2,
4,
3,
4,
6,
2,
2,
4,
3,
2,
3,
2,
1,
3,
4,
3,
2,
2,
3,
2,
3,
3,
3,
2,
4,
4,
6,
5,
4,
2,
2,
3,
3,
3,
3,
3,
4,
4,
5,
4,
3,
4,
7,
6,
4,
8,
3,
2,
3,
2,
2,
2,
4,
3,
2,
4,
4,
4,
4,
3,
4,
5,
2,
2,
2,
2,
4,
4,
2,
4,
2,
2,
3,
2,
4,
4,
6,
8,
2,
2,
2,
4,
4,
3,
4,
4,
4,
3,
6,
4,
3,
3,
4,
4,
4,
6,
4,
4,
6,
4,
2,
2,
2,
3,
4,
2,
4,
3,
3,
4,
2,
2,
6,
3,
2,
2,
3,
4,
2,
2,
4,
5,
2,
2,
4,
2,
2,
4,
4,
4,
2,
3,
4,
3,
2,
3,
4,
2,
5,
2,
7,
3,
6,
3,
3,
4,
2,
3,
3,
3,
3,
3,
3,
4,
2,
3,
3,
2,
2,
4,
2,
3,
2,
4,
4,
2,
4,
5,
5,
3,
2,
4,
4,
3,
2,
2,
4,
3,
2,
4,
2,
2,
2,
2,
2,
5,
4,
2,
2,
4,
1,
2,
2,
2,
4,
5,
4,
3,
8,
8,
1,
1,
4,
4,
2,
2,
2,
3,
2,
3,
2,
3,
2,
2,
3,
3,
2,
2,
4,
3,
4,
4,
3,
6,
3,
4,
4,
2,
4,
2,
3,
3,
2,
3,
3,
4,
3,
2,
6,
2,
2,
1,
3,
2,
3,
2,
4,
5,
4,
4,
4,
3,
3,
4,
4,
4,
2,
2,
2,
4,
2,
2,
4,
8,
3,
5,
4,
2,
4,
4,
3,
4,
4,
3,
4,
2,
5,
4,
2,
4,
3,
2,
4,
2,
2,
4,
4,
8,
3,
5,
3,
5,
4,
4,
6,
3,
5,
2,
4,
3,
3,
2,
2,
3,
2,
3,
3,
2,
4,
4,
3,
4,
2,
2,
2,
2,
4,
2,
4,
4,
3,
4,
6,
2,
2,
2,
3,
3,
3,
3,
5,
4,
5,
2,
2,
4,
6,
3,
3,
2,
3,
3,
4,
3,
2,
2,
6,
3,
5,
4,
2,
1,
2,
4,
4,
3,
3,
2,
2,
3,
3,
2,
5,
4,
7,
4,
4,
5,
6,
3,
4,
4,
3,
4,
4,
4,
4,
4,
4,
2,
2,
2,
3,
2,
3,
2,
2,
2,
2,
6,
3,
2,
2,
2,
4,
4,
6,
3,
2,
2,
3,
3,
2,
3,
2,
4,
5,
4,
2,
2,
3,
3,
6,
7,
3,
7,
4,
4,
4,
3,
3,
4,
2,
3,
4,
2,
4,
3,
2,
3,
2,
4,
2,
3,
3,
5,
4,
3,
5,
3,
6,
4,
7,
2,
5,
4,
3,
3,
2,
2,
3,
2,
4,
4,
4,
4,
2,
4,
3,
3,
3,
3,
3,
3,
4,
4,
4,
3,
3,
4,
4,
3,
3,
3,
7,
2,
2,
2,
4,
2,
2,
3,
4,
3,
3,
3,
2,
3,
2,
2,
3,
3,
3,
4,
2,
3,
4,
3,
2,
2,
3,
2,
4,
2,
3,
4,
7,
4,
2,
3,
1,
3,
5,
2,
2,
3,
3,
2,
2,
4,
3,
4,
4,
4,
2,
2,
3,
2,
3,
2,
3,
2,
4,
4,
2,
3,
2,
2,
5,
3,
4,
2,
3,
2,
4,
4,
4,
4,
3,
2,
3,
4,
3,
3,
2,
2,
3,
2,
3,
4,
2,
4,
2,
3,
3,
4,
4,
4,
4,
4,
4,
3,
4,
3,
3,
3,
2,
2,
4,
4,
3,
5,
5,
3,
2,
4,
7,
5,
5,
4,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
4,
4,
3,
2,
4,
4,
2,
2,
2,
2,
2,
4,
2,
7,
2,
1,
3,
6,
6,
4,
4,
6,
2,
3,
2,
4,
4,
4,
4,
2,
3,
5,
3,
2,
3,
5,
4,
4,
2,
4,
4,
3,
3,
2,
2,
2,
4,
3,
7,
4,
3,
2,
4,
3,
4,
5,
3,
3,
5,
7,
7,
2,
2,
4,
3,
3,
7,
5,
4,
3,
2,
2,
7,
5,
6,
5,
7,
4,
2,
4,
4,
2,
2,
4,
4,
2,
2,
4,
4,
5,
3,
3,
3,
4,
4,
5,
2,
2,
4,
4,
4,
2,
3,
3,
3,
4,
5,
4,
4,
2,
3,
2,
4,
2,
4,
4,
4,
4,
3,
2,
2,
4,
2,
3,
3,
4,
5,
5,
3,
3,
6,
3,
4,
4,
2,
4,
4,
3,
4,
4,
4,
3,
4,
5,
4,
2,
2,
3,
3,
3,
4,
4,
3,
2,
2,
4,
4,
5,
3,
3,
2,
4,
4,
3,
3,
4,
4,
4,
2,
2,
2,
2,
2,
2,
2,
4,
2,
3,
3,
4,
3,
2,
2,
2,
5,
2,
2,
2,
2,
2,
4,
4,
4,
6,
4,
3,
3,
4,
2,
3,
5,
4,
3,
3,
5,
6,
3,
3,
8,
4,
4,
3,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
4,
4,
4,
4,
2,
3,
6,
2,
4,
3,
2,
2,
2,
2,
3,
3,
5,
3,
2,
6,
6,
4,
4,
3,
3,
5,
2,
4,
5,
3,
4,
2,
4,
2,
2,
4,
4,
1,
4,
4,
4,
4,
3,
2,
3,
3,
3,
4,
3,
2,
2,
4,
4,
2,
4,
4,
5,
2,
4,
4,
3,
3,
3,
4,
4,
4,
2,
4,
4,
4,
8,
3,
2,
3,
2,
3,
3,
3,
2,
4,
4,
5,
2,
2,
4,
4,
7,
7,
5,
2,
2,
3,
3,
4,
2,
2,
3,
2,
1,
2,
4,
5,
5,
5,
3,
4,
3,
3,
5,
4,
3,
2,
2,
2,
2,
2,
2,
3,
2,
2,
2,
4,
4,
2,
3,
3,
2,
4,
4,
3,
5,
3,
3,
4,
2,
2,
5,
5,
4,
2,
5,
3,
2,
2,
4,
4,
4,
4,
3,
3,
4,
3,
2,
2,
4,
2,
3,
2,
4,
4,
4,
4,
4,
4,
6,
2,
3,
4,
2,
2,
3,
3,
4,
4,
3,
4,
4,
4,
4,
3,
4,
6,
3,
2,
3,
4,
4,
8,
3,
2,
7,
4,
4,
2,
2,
2,
2,
3,
2,
4,
4,
4,
1,
1,
5,
7,
3,
2,
4,
4,
4,
4,
4,
4,
4,
3,
3,
2,
2,
4,
3,
4,
4,
5,
2,
3,
4,
3,
3,
5,
4,
2,
4,
2,
4,
4,
4,
4,
4,
6,
3,
2,
3,
5,
5,
4,
2,
5,
3,
4,
4,
7,
4,
5,
6,
2,
3,
3,
3,
2,
2,
2,
4,
4,
3,
3,
5,
4,
2,
3,
2,
3,
2,
4,
6,
5,
5,
2,
3,
3,
3,
2,
3,
2,
3,
2,
3,
3,
2,
6,
2,
4,
2,
5,
4,
4,
4,
4,
4,
3,
3,
3,
2,
3,
5,
2,
3,
2,
4,
2,
3,
4,
2,
2,
2,
3,
7,
3,
4,
4,
4,
2,
2,
1,
1,
2,
3,
4,
3,
4,
6,
6,
2,
2,
3,
3,
2,
1,
2,
2,
3,
3,
2,
2,
3,
3,
3,
2,
3,
6,
4,
4,
2,
5,
3,
4,
2,
2,
2,
2,
2,
9,
9,
3,
4,
4,
2,
4,
4,
3,
4,
3,
3,
2,
3,
4,
3,
3,
5,
1,
3,
4,
2,
7,
2,
3,
2,
4,
3,
3,
3,
3,
1,
2,
4,
4,
4,
2,
4,
2,
4,
4,
3,
3,
4,
2,
4,
4,
4,
3,
3,
4,
5,
6,
3,
2,
2,
2,
2,
2,
2,
2,
4,
2,
4,
4,
3,
2,
1,
2,
3,
2,
3,
3,
5,
3,
3,
2,
4,
4,
4,
3,
2,
4,
3,
1,
4,
2,
2,
2,
2,
4,
4,
3,
3,
4,
3,
3,
4,
2,
2,
2,
2,
4,
4,
4,
2,
2,
3,
3,
2,
2,
3,
3,
1,
5,
3,
3,
3,
4,
4,
2,
2,
4,
4,
3,
2,
7,
4,
2,
3,
2,
2,
3,
3,
3,
4,
4,
2,
2,
4,
2,
3,
6,
6,
4,
4,
6,
3,
3,
2,
3,
3,
3,
4,
7,
6,
7,
4,
4,
4,
2,
2,
6,
4,
2,
2,
5,
5,
4,
4,
5,
2,
6,
3,
3,
4,
3,
3,
3,
3,
3,
3,
4,
4,
2,
4,
4,
3,
3,
2,
2,
2,
3,
3,
4,
4,
3,
3,
5,
5,
3,
2,
1,
2,
2,
3,
4,
4,
4,
2,
3,
3,
4,
2,
4,
2,
2,
2,
4,
3,
3,
4,
2,
4,
3,
2,
2,
2,
2,
3,
3,
4,
4,
3,
2,
3,
6,
4,
4,
3,
4,
4,
3,
4,
3,
7,
2,
2,
2,
2,
2,
5,
6,
3,
5,
4,
3,
5,
3,
2,
4,
3,
3,
3,
2,
4,
2,
5,
1,
2,
2,
4,
4,
4,
4,
2,
3,
4,
4,
4,
4,
3,
3,
4,
2,
2,
4,
4,
3,
2,
2,
4,
3,
3,
4,
2,
4,
4,
8,
3,
3,
4,
3,
2,
2,
3,
6,
4,
3,
3,
4,
5,
2,
3,
3,
3,
4,
4,
4,
3,
3,
2,
3,
2,
3,
3,
3,
4,
3,
2,
6,
2,
2,
5,
3,
2,
2,
3,
2,
3,
4,
4,
5,
2,
6,
3,
2,
2,
6,
4,
5,
2,
4,
4,
4,
4,
4,
3,
4,
2,
3,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
3,
3,
7,
5,
3,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
2,
2,
4,
4,
5,
2,
3,
2,
5,
5,
2,
3,
4,
4,
3,
3,
3,
3,
2,
2,
2,
3,
3,
4,
2,
4,
3,
2,
2,
2,
4,
4,
3,
4,
5,
2,
4,
2,
2,
2,
6,
3,
3,
4,
6,
3,
2,
3,
5,
5,
6,
3,
3,
3,
3,
5,
3,
2,
2,
2,
4,
4,
4,
5,
4,
3,
1,
2,
7,
3,
2,
3,
5,
4,
2,
3,
3,
4,
3,
4,
3,
3,
4,
2,
3,
2,
2,
4,
3,
3,
3,
3,
4,
5,
3,
2,
4,
2,
3,
3,
2,
2,
2,
4,
3,
4,
2,
2,
4,
2,
4,
4,
2,
3,
3,
3,
2,
3,
4,
3,
5,
2,
3,
5,
6,
4,
5,
6,
1,
2,
2,
4,
4,
3,
4,
2,
2,
2,
3,
4,
6,
3,
3,
4,
3,
4,
5,
4,
4,
4,
4,
4,
4,
2,
7,
3,
2,
5,
3,
5,
4,
5,
3,
2,
5,
4,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
3,
2,
2,
2,
4,
4,
5,
6,
4,
4,
3,
2,
2,
2,
3,
3,
3,
3,
1,
3,
4,
1,
4,
2,
2,
3,
4,
4,
3,
2,
5,
5,
5,
1,
3,
2,
4,
3,
3,
4,
3,
4,
4,
3,
3,
7,
4,
4,
3,
5,
4,
3,
3,
7,
4,
4,
4,
3,
4,
4,
3,
2,
6,
2,
2,
4,
4,
4,
4,
2,
2,
2,
3,
5,
3,
3,
3,
2,
5,
4,
4,
2,
4,
4,
3,
3,
4,
4,
3,
4,
2,
4,
4,
3,
4,
3,
4,
2,
4,
2,
2,
2,
4,
4,
2,
4,
2,
4,
2,
2,
2,
3,
3,
6,
4,
1,
6,
3,
3,
5,
3,
3,
2,
8,
3,
4,
2,
4,
4,
4,
4,
6,
3,
1,
2,
4,
4,
4,
3,
3,
2,
4,
2,
4,
3,
3,
2,
2,
4,
4,
4,
3,
4,
6,
5,
2,
7,
2,
2,
2,
2,
3,
3,
5,
5,
6,
2,
4,
3,
4,
3,
4,
2,
2,
4,
4,
3,
5,
3,
4,
7,
7,
3,
3,
1,
4,
4,
4,
4,
4,
4,
4,
3,
3,
3,
3,
3,
2,
4,
3,
3,
2,
2,
2,
4,
3,
2,
2,
3,
3,
3,
3,
5,
4,
3,
3,
2,
3,
3,
4,
2,
7,
3,
4,
3,
3,
3,
3,
3,
3,
2,
1,
2,
6,
3,
3,
3,
3,
4,
2,
4,
4,
4,
3,
4,
2,
2,
2,
2,
2,
3,
3,
4,
2,
2,
4,
3,
2,
3,
1,
3,
4,
3,
4,
4,
2,
2,
2,
1,
4,
4,
2,
2,
4,
2,
6,
3,
3,
4,
3,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6,
2,
2,
2,
5,
4,
2,
4,
4,
3,
3,
2,
3,
4,
2,
4,
3,
3,
3,
3,
3,
4,
3,
4,
1,
4,
2,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
2,
3,
6,
3,
4,
2,
2,
2,
4,
4,
4,
3,
2,
4,
4,
4,
2,
2,
3,
3,
4,
4,
2,
4,
2,
4,
3,
3,
6,
4,
5,
4,
3,
4,
2,
4,
2,
4,
8,
4,
4,
3,
3,
3,
3,
4,
2,
3,
3,
3,
3,
5,
4,
4,
4,
4,
4,
4,
2,
3,
3,
2,
3,
4,
4,
4,
6,
2,
5,
3,
4,
2,
3,
3,
5,
3,
3,
4,
4,
2,
2,
2,
2,
2,
3,
3,
4,
3,
3,
3,
4,
2,
2,
5,
4,
3,
3,
5,
4,
2,
2,
6,
2,
2,
3,
2,
3,
5,
1,
2,
4,
2,
3,
4,
4,
4,
4,
3,
2,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
4,
4,
4,
3,
2,
3,
3,
5,
4,
4,
2,
3,
3,
2,
2,
1,
3,
4,
2,
5,
5,
4,
2,
3,
2,
5,
2,
4,
4,
4,
4,
3,
2,
4,
4,
6,
7,
4,
3,
4,
2,
4,
6,
2,
3,
2,
6,
4,
3,
5,
2,
3,
3,
3,
5,
3,
4,
4,
4,
4,
3,
3,
4,
3,
4,
5,
2,
2,
3,
4,
4,
5,
4,
4,
2,
4,
2,
3,
5,
2,
3,
4,
7,
3,
4,
3,
4,
4,
6,
4,
2,
7,
3,
3,
5,
3,
3,
3,
5,
2,
3,
6,
4,
2,
3,
5,
3,
2,
2,
4,
3,
2,
4,
3,
2,
8,
5,
1,
4,
2,
5,
5,
2,
6,
6,
4,
4,
4,
3,
1,
3,
5,
5,
4,
3,
3,
4,
4,
4,
4,
4,
4,
2,
2,
4,
4,
2,
4,
4,
4,
2,
2,
2,
2,
3,
3,
4,
6,
2,
2,
3,
4,
4,
4,
4,
3,
3,
3,
4,
2,
4,
3,
3,
3,
3,
4,
3,
6,
4,
2,
3,
4,
6,
3,
3,
7,
4,
5,
5,
7,
3,
4,
4,
4,
5,
4,
4,
1,
1,
3,
3,
2,
4,
4,
4,
3,
4,
4,
4,
4,
4,
2,
4,
3,
4,
3,
4,
4,
3,
4,
4,
2,
2,
2,
2,
1,
4,
4,
4,
5,
4,
6,
3,
3,
4,
3,
3,
3,
3,
6,
4,
4,
2,
3,
3,
4,
2,
4,
3,
5,
4,
2,
3,
2,
5,
4,
5,
3,
3,
3,
4,
3,
5,
4,
3,
4,
4,
2,
4,
4,
1,
4,
2,
4,
2,
4,
4,
2,
5,
4,
2,
4,
4,
2,
3,
2,
2,
4,
3,
2,
4,
2,
4,
3,
2,
4,
6,
4,
5,
2,
3,
2,
2,
3,
1,
3,
3,
4,
3,
4,
2,
2,
3,
2,
3,
3,
4,
3,
3,
3,
2,
2,
2,
4,
5,
2,
1,
6,
4,
3,
3,
3,
3,
2,
3,
4,
2,
2,
4,
4,
2,
2,
2,
4,
3,
5,
5,
5,
2,
4,
8,
6,
4,
4,
5,
4,
4,
1,
2,
2,
5,
5,
3,
3,
4,
4,
2,
2,
4,
2,
2,
5,
4,
4,
5,
6,
7,
7,
3,
6,
4,
3,
3,
4,
3,
2,
2,
2,
4,
4,
2,
4,
4,
4,
2,
2,
3,
4,
2,
2,
2,
6,
4,
3,
3,
4,
3,
3,
4,
4,
4,
5,
3,
4,
2,
4,
6,
4,
2,
2,
2,
4,
2,
2,
2,
2,
1,
3,
3,
2,
4,
3,
3,
3,
4,
4,
2,
2,
4,
2,
3,
3,
3,
3,
4,
4,
4,
5,
2,
2,
2,
3,
4,
4,
4,
4,
4,
2,
3,
4,
2,
2,
3,
4,
4,
4,
6,
4,
3,
2,
2,
2,
2,
4,
3,
4,
3,
6,
4,
1,
3,
4,
3,
2,
3,
3,
3,
4,
2,
5,
4,
4,
2,
3,
2,
2,
3,
3,
2,
4,
2,
4,
4,
4,
2,
2,
3,
4,
4,
3,
3,
3,
3,
4,
3,
5,
5,
3,
6,
2,
3,
3,
3,
3,
4,
4,
2,
3,
5,
3,
2,
4,
4,
2,
3,
5,
3,
5,
2,
3,
3,
4,
4,
3,
3,
4,
4,
5,
4,
7,
3,
2,
3,
2,
2,
7,
3,
2,
2,
2,
4,
2,
2,
3,
1,
3,
2,
4,
4,
4,
2,
7,
2,
4,
8,
3,
4,
2,
3,
3,
3,
3,
4,
4,
4,
3,
4,
3,
4,
3,
4,
3,
4,
6,
4,
4,
2,
5,
3,
3,
4,
2,
4,
4,
4,
4,
3,
2,
4,
4,
3,
2,
3,
6,
4,
4,
4,
4,
4,
3,
3,
2,
5,
4,
4,
4,
4,
3,
5,
2,
2,
4,
3,
3,
3,
5,
3,
3,
2,
2,
3,
5,
2,
2,
8,
6,
4,
4,
4,
6,
5,
5,
3,
3,
2,
3,
3,
3,
3,
3,
3,
4,
5,
4,
2,
3,
3,
3,
4,
2,
5,
4,
5,
5,
6,
2,
4,
4,
5,
4,
2,
4,
4,
6,
5,
4,
4,
2,
6,
8,
3,
3,
2,
2,
2,
4,
4,
4,
2,
4,
3,
4,
3,
3,
2,
4,
3,
3,
3,
4,
3,
3,
3,
3,
3,
3,
4,
2,
3,
7,
4,
2,
3,
2,
4,
3,
5,
2,
2,
2,
2,
3,
4,
3,
4,
4,
7,
3,
2,
3,
4,
6,
3,
4,
4,
4,
1,
3,
3,
2,
3,
3,
2,
3,
3,
3,
4,
3,
3,
3,
4,
3,
2,
3,
3,
3,
4,
3,
3,
3,
3,
3,
4,
5,
4,
3,
4,
3,
5,
4,
4,
2,
4,
4,
2,
4,
4,
5,
5,
4,
4,
3,
3,
3,
5,
4,
4,
5,
5,
4,
3,
3,
3,
3,
4,
2,
4,
4,
3,
3,
7,
4,
2,
3,
2,
4,
3,
4,
4,
4,
3,
6,
4,
4,
4,
4,
2,
2,
2,
5,
2,
3,
4,
2,
5,
3,
3,
5,
4,
3,
3,
4,
6,
4,
3,
2,
4,
2,
4,
2,
4,
5,
3,
5,
1,
2,
4,
2,
3,
5,
4,
3,
1,
4,
3,
4,
4,
4,
2,
2,
2,
2,
4,
4,
4,
4,
2,
2,
3,
4,
4,
3,
4,
4,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
4,
4,
4,
5,
3,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
4,
3,
2,
4,
7,
3,
4,
3,
3,
4,
3,
4,
4,
4,
3,
3,
3,
2,
4,
4,
4,
5,
2,
3,
3,
3,
4,
3,
3,
4,
4,
3,
3,
2,
7,
2,
3,
3,
5,
4,
4,
4,
4,
4,
4,
4,
4,
5,
5,
4,
4,
3,
3,
5,
3,
2,
2,
2,
4,
3,
2,
5,
6,
3,
2,
4,
3,
3,
3,
2,
3,
5,
4,
2,
3,
4,
5,
6,
3,
3,
6,
3,
3,
3,
2,
2,
6,
3,
3,
3,
3,
5,
4,
2,
4,
2,
2,
3,
4,
1,
1,
3,
2,
5,
5,
2,
3,
3,
3,
2,
2,
2,
3,
3,
3,
2,
4,
2,
2,
2,
3,
3,
3,
6,
6,
4,
4,
4,
2,
5,
4,
4,
2,
4,
7,
2,
2,
4,
2,
3,
3,
2,
2,
2,
3,
5,
3,
2,
4,
4,
4,
4,
5,
4,
4,
4,
2,
2,
8,
8,
2,
2,
2,
5,
7,
4,
2,
4,
3,
2,
4,
2,
4,
3,
2,
3,
2,
4,
4,
4,
4,
5,
2,
4,
3,
4,
4,
4,
2,
2,
2,
2,
3,
4,
4,
3,
2,
2,
2,
4,
3,
3,
2,
2,
3,
3,
2,
3,
4,
3,
4,
2,
2,
4,
5,
3,
3,
3,
3,
3,
2,
3,
3,
3,
4,
2,
2,
7,
4,
4,
2,
4,
4,
3,
4,
8,
5,
4,
4,
3,
8,
3,
4,
4,
4,
4,
4,
4,
5,
4,
4,
3,
2,
4,
3,
4,
4,
6,
2,
4,
2,
3,
3,
5,
3,
4,
4,
3,
4,
4,
2,
5,
5,
4,
6,
4,
6,
3,
4,
4,
5,
4,
5,
6,
3,
3,
4,
4,
3,
4,
4,
6,
3,
3,
3,
3,
3,
4,
3,
2,
4,
3,
4,
5,
5,
2,
4,
2,
4,
5,
4,
2,
4,
4,
3,
3,
5,
8,
4,
3,
3,
3,
2,
2,
2,
4,
3,
3,
4,
2,
3,
3,
4,
3,
5,
4,
4,
3,
3,
4,
5,
5,
5,
2,
4,
4,
3,
4,
4,
4,
3,
6,
3,
3,
2,
3,
3,
3,
3,
3,
2,
4,
4,
4,
2,
3,
2,
3,
4,
3,
2,
4,
2,
2,
3,
4,
4,
5,
5,
7,
3,
3,
2,
2,
4,
3,
4,
2,
7,
7,
3,
4,
2,
2,
6,
6,
4,
5,
4,
4,
4,
7,
2,
2,
6,
3,
2,
5,
5,
3,
2,
4,
4,
4,
5,
6,
4,
4,
4,
4,
4,
2,
4,
3,
2,
3,
3,
4,
5,
2,
2,
2,
2,
3,
3,
3,
1,
3,
3,
4,
3,
4,
2,
1,
2,
1,
2,
5,
2,
5,
2,
2,
2,
2,
3,
2,
2,
4,
4,
4,
4,
7,
4,
4,
4,
4,
8,
4,
4,
3,
3,
6,
5,
2,
3,
4,
3,
3,
4,
4,
3,
4,
4,
3,
5,
4,
4,
4,
4,
5,
5,
4,
3,
4,
4,
4,
4,
4,
4,
1,
4,
3,
3,
4,
4,
4,
5,
7,
4,
2,
2,
3,
3,
3,
4,
4,
2,
3,
4,
3,
4,
2,
2,
4,
5,
5,
3,
4,
3,
2,
4,
2,
4,
2,
7,
4,
7,
3,
4,
3,
2,
5,
5,
4,
3,
2,
4,
3,
4,
4,
4,
4,
3,
2,
2,
2,
2,
3,
7,
2,
4,
4,
2,
2,
3,
2,
4,
4,
3,
4,
3,
5,
5,
2,
4,
5,
3,
3,
4,
4,
4,
4,
4,
2,
2,
3,
2,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
5,
2,
5,
3,
3,
4,
4,
3,
2,
3,
3,
4,
4,
2,
4,
2,
4,
4,
4,
6,
5,
2,
4,
4,
2,
2,
2,
3,
4,
3,
3,
3,
4,
2,
3,
6,
3,
4,
4,
3,
2,
7,
2,
4,
2,
4,
4,
2,
3,
2,
2,
4,
5,
2,
4,
3,
4,
4,
4,
5,
2,
3,
3,
2,
4,
3,
4,
4,
4,
4,
3,
3,
4,
4,
3,
4,
3,
4,
4,
4,
2,
4,
3,
3,
3,
4,
4,
3,
4,
4,
4,
4,
2,
2,
2,
2,
3,
4,
2,
4,
4,
5,
2,
2,
3,
4,
4,
4,
4,
7,
3,
4,
2,
4,
3,
2,
3,
3,
2,
5,
3,
4,
4,
4,
3,
1,
1,
5,
3,
4,
4,
4,
4,
4,
5,
3,
3,
3,
3,
4,
4,
3,
2,
2,
4,
4,
4,
4,
5,
2,
3,
3,
3,
4,
4,
4,
4,
6,
4,
4,
3,
5,
2,
5,
5,
3,
2,
4,
5,
2,
2,
3,
3,
4,
4,
4,
4,
4,
9,
4,
4,
4,
4,
4,
4,
4,
4,
2,
3,
4,
4,
3,
2,
3,
5,
3,
3,
3,
5,
4,
3,
3,
3,
3,
2,
4,
4,
4,
6,
4,
2,
2,
2,
2,
4,
5,
7,
1,
3,
5,
3,
5,
4,
3,
2,
3,
4,
2,
2,
2,
2,
6,
4,
7,
3,
2,
3,
3,
3,
3,
2,
3,
2,
4,
2,
4,
4,
4,
4,
4,
4,
3,
7,
5,
3,
3,
5,
4,
4,
2,
3,
3,
3,
5,
5,
4,
3,
3,
5,
4,
2,
3,
2,
2,
4,
3,
2,
3,
3,
2,
3,
4,
3,
2,
3,
3,
5,
4,
4,
4,
4,
2,
4,
2,
2,
2,
5,
4,
4,
3,
2,
4,
5,
4,
4,
4,
4,
6,
3,
3,
4,
2,
4,
4,
3,
4,
6,
4,
3,
3,
3,
5,
4,
2,
4,
4,
3,
2,
4,
2,
3,
5,
2,
5,
5,
3,
3,
3,
2,
5,
4,
2,
4,
2,
3,
1,
2,
4,
4,
6,
4,
6,
3,
5,
9,
4,
4,
5,
5,
6,
2,
3,
4,
2,
4,
4,
3,
3,
3,
2,
2,
1,
3,
3,
4,
2,
3,
2,
2,
3,
3,
2,
4,
2,
4,
3,
7,
4,
4,
4,
4,
4,
4,
2,
4,
2,
2,
2,
3,
2,
4,
4,
4,
3,
5,
4,
6,
4,
3,
7,
5,
2,
2,
2,
4,
4,
4,
4,
4,
4,
6,
2,
5,
3,
5,
6,
3,
3,
3,
4,
3,
4,
4,
4,
4,
4,
3,
2,
2,
2,
4,
2,
5,
5,
3,
3,
3,
4,
6,
6,
5,
4,
4,
4,
3,
4,
4,
6,
4,
4,
2,
4,
4,
5,
2,
4,
2,
3,
4,
3,
5,
3,
3,
2,
3,
2,
4,
5,
3,
3,
3,
5,
4,
5,
4,
2,
4,
4,
2,
2,
4,
4,
4,
4,
2,
2,
3,
3,
5,
4,
2,
2,
4,
2,
3,
4,
2,
3,
3,
2,
6,
3,
5,
4,
2,
3,
3,
4,
4,
4,
4,
4,
4,
3,
6,
4,
3,
4,
4,
4,
4,
2,
2,
2,
2,
2,
4,
8,
4,
4,
6,
4,
5,
2,
4,
4,
2,
3,
2,
2,
4,
2,
4,
3,
2,
4,
4,
3,
2,
4,
4,
4,
2,
4,
4,
4,
2,
3,
4,
3,
2,
4,
6,
4,
2,
2,
4,
4,
3,
2,
3,
2,
3,
4,
4,
4,
2,
3,
5,
3,
5,
2,
3,
3,
4,
2,
4,
4,
6,
3,
4,
4,
2,
4,
6,
4,
4,
4,
3,
3,
4,
2,
4,
4,
5,
4,
4,
2,
5,
3,
5,
4,
7,
3,
3,
4,
3,
3,
2,
1,
5,
4,
3,
2,
3,
1,
4,
2,
4,
3,
4,
4,
4,
3,
2,
4,
2,
3,
2,
3,
3,
5,
5,
3,
3,
4,
3,
2,
2,
4,
5,
5,
3,
3,
4,
4,
2,
3,
4,
3,
2,
2,
3,
5,
4,
2,
4,
8,
3,
4,
4,
4,
4,
4,
3,
5,
5,
3,
3,
2,
2,
2,
2,
4,
2,
3,
4,
4,
4,
4,
3,
4,
3,
3,
3,
3,
3,
2,
4,
3,
3,
2,
2,
4,
3,
3,
2,
2,
2,
3,
2,
2,
3,
2,
4,
2,
2,
2,
4,
3,
2,
7,
5,
4,
3,
4,
3,
4,
4,
4,
2,
3,
4,
4,
3,
2,
2,
2,
4,
4,
2,
4,
4,
5,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
3,
3,
3,
2,
3,
3,
4,
4,
4,
3,
4,
2,
3,
4,
2,
4,
2,
5,
2,
3,
2,
4,
3,
2,
4,
4,
3,
3,
3,
3,
3,
4,
2,
4,
3,
2,
3,
4,
2,
5,
4,
4,
8,
2,
2,
4,
4,
3,
5,
2,
3,
4,
5,
4,
4,
4,
3,
2,
2,
2,
2,
5,
3,
4,
5,
5,
5,
5,
2,
3,
4,
4,
2,
3,
3,
2,
6,
4,
2,
4,
3,
2,
2,
1,
2,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
6,
2,
3,
2,
3,
4,
5,
4,
4,
3,
4,
7,
4,
3,
3,
4,
5,
4,
4,
2,
2,
4,
4,
3,
4,
2,
4,
4,
3,
3,
4,
6,
4,
4,
2,
2,
5,
2,
5,
3,
2,
3,
4,
2,
2,
5,
5,
3,
3,
2,
3,
5,
5,
5,
4,
3,
3,
3,
6,
4,
6,
3,
4,
4,
4,
4,
5,
2,
2,
2,
2,
2,
2,
2,
2,
4,
3,
4,
3,
3,
4,
4,
3,
4,
2,
2,
2,
6,
2,
5,
4,
3,
2,
4,
4,
2,
5,
3,
6,
7,
4,
3,
3,
4,
3,
3,
4,
5,
8,
4,
5,
1,
3,
3,
3,
4,
3,
4,
3,
3,
5,
5,
3,
4,
3,
3,
6,
5,
6,
2,
2,
4,
2,
3,
4,
4,
4,
3,
3,
3,
2,
2,
2,
4,
2,
2,
3,
3,
3,
3,
2,
2,
2,
2,
3,
4,
4,
4,
4,
4,
4,
4,
4,
6,
2,
2,
5,
5,
5,
5,
3,
4,
4,
4,
6,
3,
2,
3,
3,
4,
2,
2,
2,
2,
3,
2,
2,
3,
4,
4,
2,
5,
4,
3,
4,
4,
2,
2,
4,
2,
3,
2,
3,
4,
4,
2,
3,
2,
4,
4,
6,
4,
2,
3,
4,
4,
4,
3,
4,
3,
5,
4,
2,
2,
1,
4,
2,
4,
4,
3,
3,
4,
4,
2,
1,
2,
4,
2,
4,
3,
4,
5,
4,
6,
2,
2,
4,
5,
6,
4,
5,
5,
3,
3,
4,
4,
6,
4,
4,
4,
4,
4,
3,
3,
4,
4,
5,
5,
7,
5,
3,
2,
4,
3,
5,
4,
4,
2,
2,
3,
4,
4,
3,
4,
3,
2,
4,
5,
3,
2,
6,
4,
4,
3,
5,
3,
3,
4,
4,
1,
2,
1,
3,
3,
4,
4,
5,
6,
4,
2,
3,
4,
5,
3,
3,
4,
3,
3,
3,
4,
3,
3,
3,
3,
5,
4,
2,
4,
4,
4,
4,
4,
4,
4,
5,
3,
2,
2,
5,
2,
2,
2,
4,
3,
3,
3,
5,
2,
2,
3,
2,
6,
3,
4,
3,
4,
4,
2,
2,
2,
2,
3,
3,
3,
4,
3,
2,
4,
4,
3,
3,
6,
2,
4,
4,
3,
6,
2,
2,
3,
3,
3,
4,
4,
3,
4,
4,
2,
1,
4,
4,
5,
5,
2,
4,
4,
7,
4,
2,
2,
2,
3,
2,
2,
6,
3,
3,
3,
3,
3,
3,
2,
5,
5,
4,
3,
4,
2,
2,
2,
6,
4,
3,
2,
1,
5,
5,
2,
3,
3,
4,
6,
2,
4,
5,
4,
4,
4,
4,
2,
2,
3,
8,
5,
2,
3,
2,
2,
5,
4,
4,
3,
3,
4,
3,
4,
2,
3,
2,
4,
2,
2,
2,
6,
3,
4,
4,
4,
3,
3,
4,
3,
3,
4,
3,
3,
7,
4,
3,
2,
1,
2,
2,
3,
4,
4,
4,
5,
4,
4,
3,
4,
6,
2,
5,
3,
3,
3,
4,
4,
4,
4,
4,
3,
3,
3,
4,
5,
5,
3,
3,
7,
4,
3,
4,
5,
3,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
4,
2,
2,
4,
5,
2,
4,
4,
4,
3,
3,
1,
4,
2,
2,
5,
4,
4,
2,
6,
4,
2,
5,
5,
2,
4,
6,
4,
4,
2,
4,
6,
2,
3,
4,
3,
2,
3,
4,
8,
3,
4,
5,
6,
4,
4,
4,
6,
6,
2,
4,
4,
2,
3,
2,
3,
2,
2,
4,
4,
4,
2,
2,
2,
3,
4,
4,
3,
3,
4,
4,
3,
4,
5,
3,
3,
6,
4,
4,
2,
3,
4,
2,
2,
3,
4,
3,
4,
3,
3,
2,
4,
4,
5,
4,
4,
4,
3,
5,
4,
2,
2,
3,
2,
3,
4,
6,
5,
2,
5,
3,
4,
3,
4,
3,
11,
2,
4,
4,
4,
2,
4,
4,
4,
4,
4,
5,
2,
2,
2,
2,
2,
4,
5,
2,
3,
3,
2,
2,
4,
2,
1,
3,
3,
2,
3,
4,
8,
6,
4,
3,
2,
4,
4,
2,
4,
3,
1,
4,
4,
2,
2,
2,
4,
4,
7,
6,
2,
2,
3,
2,
6,
4,
4,
2,
5,
3,
2,
4,
4,
4,
2,
2,
2,
4,
4,
2,
2,
2,
3,
4,
2,
2,
2,
4,
6,
4,
4,
4,
3,
6,
3,
8,
2,
3,
3,
4,
4,
4,
3,
3,
2,
4,
5,
5,
4,
5,
5,
2,
4,
4,
2,
3,
4,
4,
3,
4,
2,
2,
3,
4,
2,
3,
3,
4,
3,
3,
3,
5,
3,
3,
2,
3,
3,
3,
3,
5,
2,
5,
2,
3,
4,
4,
5,
5,
3,
5,
4,
5,
3,
3,
2,
4,
4,
4,
5,
5,
2,
2,
2,
4,
3,
3,
8,
4,
2,
4,
4,
4,
5,
3,
4,
4,
4,
5,
3,
5,
3,
4,
4,
2,
6,
6,
3,
4,
4,
2,
6,
3,
2,
3,
4,
4,
4,
4,
4,
4,
4,
3,
4,
3,
4,
3,
2,
1,
2,
4,
3,
3,
3,
3,
3,
5,
4,
2,
2,
5,
5,
3,
4,
2,
3,
4,
2,
3,
4,
4,
4,
3,
4,
4,
4,
3,
4,
4,
2,
4,
4,
3,
3,
4,
2,
1,
3,
2,
8,
6,
2,
2,
5,
5,
5,
6,
4,
4,
2,
3,
3,
3,
3,
5,
4,
2,
5,
3,
3,
4,
3,
3,
3,
4,
5,
5,
4,
3,
4,
5,
5,
4,
5,
3,
4,
3,
4,
3,
3,
2,
2,
4,
4,
3,
4,
5,
6,
3,
4,
3,
4,
6,
4,
3,
4,
7,
2,
4,
4,
4,
2,
2,
2,
3,
2,
6,
6,
5,
2,
4,
2,
2,
4,
4,
2,
2,
2,
4,
3,
4,
3,
3,
5,
3,
3,
8,
3,
3,
3,
3,
2,
2,
4,
2,
4,
5,
2,
2,
4,
4,
3,
3,
3,
3,
3,
4,
1,
2,
4,
4,
7,
5,
2,
5,
4,
2,
3,
7,
7,
4,
5,
3,
4,
4,
5,
2,
2,
4,
5,
2,
4,
2,
3,
6,
4,
2,
4,
5,
2,
3,
3,
4,
3,
3,
3,
2,
3,
4,
4,
6,
5,
5,
3,
4,
4,
5,
2,
3,
2,
2,
4,
4,
4,
3,
3,
4,
2,
2,
3,
2,
3,
3,
3,
3,
6,
6,
3,
3,
3,
2,
4,
6,
3,
3,
3,
5,
5,
2,
3,
4,
4,
4,
3,
4,
2,
6,
6,
4,
3,
6,
3,
7,
3,
2,
2,
5,
4,
3,
4,
3,
5,
2,
4,
3,
2,
2,
2,
2,
2,
4,
4,
6,
2,
2,
4,
3,
2,
3,
4,
2,
4,
2,
2,
4,
4,
3,
3,
3,
3,
4,
3,
3,
4,
4,
2,
2,
7,
4,
4,
2,
2,
6,
5,
4,
4,
4,
4,
4,
3,
5,
3,
4,
4,
3,
4,
3,
2,
2,
4,
5,
2,
2,
4,
4,
3,
6,
5,
4,
9,
3,
2,
4,
4,
3,
2,
5,
2,
4,
8,
4,
2,
3,
1,
1,
2,
4,
4,
3,
3,
6,
3,
7,
4,
4,
2,
2,
3,
4,
5,
2,
5,
2,
5,
4,
2,
4,
4,
4,
2,
2,
3,
2,
3,
3,
4,
2,
2,
2,
2,
2,
3,
3,
4,
2,
4,
4,
2,
2,
3,
2,
2,
3,
4,
2,
3,
4,
4,
5,
3,
3,
5,
4,
4,
3,
3,
3,
3,
4,
4,
2,
2,
2,
3,
4,
6,
5,
4,
3,
3,
2,
4,
4,
5,
4,
4,
6,
4,
7,
7,
4,
4,
4,
2,
2,
6,
2,
3,
3,
7,
4,
4,
4,
3,
3,
2,
3,
3,
2,
3,
6,
3,
4,
3,
3,
4,
5,
4,
4,
4,
5,
3,
3,
4,
3,
6,
3,
2,
6,
5,
2,
2,
4,
2,
2,
2,
4,
3,
4,
7,
2,
4,
2,
7,
4,
3,
2,
2,
3,
4,
4,
3,
4,
4,
8,
3,
8,
5,
4,
4,
6,
4,
4,
4,
3,
3,
4,
5,
5,
4,
6,
4,
2,
2,
2,
2,
4,
4,
6,
2,
2,
7,
6,
4,
7,
3,
4,
6,
4,
4,
4,
4,
4,
4,
4,
5,
6,
3,
7,
4,
3,
5,
4,
4,
4,
5,
5,
5,
2,
6,
3,
4,
4,
2,
4,
3,
4,
4,
3,
2,
3,
3,
2,
2,
2,
2,
3,
4,
3,
3,
3,
7,
3,
5,
5,
4,
4,
5,
4,
2,
3,
4,
5,
2,
2,
2,
3,
2,
2,
5,
6,
5,
5,
3,
4,
4,
4,
4,
4,
4,
2,
3,
3,
5,
5,
4,
5,
5,
2,
2,
4,
4,
4,
4,
4,
2,
5,
6,
4,
7,
3,
4,
2,
4,
2,
6,
4,
3,
5,
2,
2,
3,
4,
4,
2,
2,
4,
4,
2,
1,
3,
2,
3,
5,
7,
7,
4,
9,
6,
5,
4,
4,
5,
4,
7,
6,
6,
6,
5,
6,
3,
2,
3,
4,
2,
4,
4,
3,
3,
4,
4,
3,
7,
5,
3,
3,
3,
3,
3,
4,
1,
3,
3,
6,
3,
5,
3,
5,
3,
3,
5,
2,
5,
4,
5,
4,
3,
3,
4,
7,
4,
4,
6,
4,
4,
2,
5,
1,
5,
4,
4,
3,
4,
6,
2,
4,
3,
4,
2,
4,
5,
4,
4,
2,
4,
3,
4,
2,
4,
2,
3,
3,
2,
1,
3,
4,
2,
4,
4,
2,
4,
3,
3,
5,
4,
6,
4,
3,
3,
4,
4,
4,
4,
2,
4,
2,
4,
3,
4,
6,
3,
4,
2,
6,
3,
4,
2,
7,
4,
6,
4,
3,
4,
2,
2,
5,
5,
5,
6,
5,
4,
4,
4,
4,
4,
4,
7,
7,
4,
6,
2,
2,
4,
4,
2,
4,
2,
3,
3,
4,
2,
5,
7,
4,
4,
3,
4,
4,
3,
3,
2,
3,
4,
4,
6,
2,
3,
6,
4,
2,
2,
2,
2,
4,
2,
3,
2,
3,
4,
4,
5,
5,
3,
3,
4,
4,
3,
5,
2,
4,
4,
3,
3,
3,
3,
3,
2,
3,
4,
3,
3,
3,
3,
2,
3,
6,
3,
3,
4,
4,
3,
5,
2,
4,
2,
2,
2,
4,
2,
1,
3,
2,
4,
5,
4,
2,
3,
4,
6,
4,
4,
4,
5,
4,
3,
4,
4,
3,
4,
3,
4,
4,
4,
2,
3,
4,
2,
2,
2,
3,
3,
4,
4,
4,
3,
6,
3,
3,
3,
4,
4,
3,
4,
4,
4,
4,
4,
6,
6,
3,
4,
3,
3,
2,
2,
4,
3,
4,
4,
5,
2,
4,
2,
5,
5,
5,
4,
4,
4,
4,
3,
3,
2,
4,
4,
3,
4,
4,
3,
6,
3,
4,
3,
4,
4,
5,
3,
3,
2,
4,
4,
4,
5,
4,
3,
3,
2,
2,
3,
2,
2,
3,
3,
4,
3,
3,
2,
3,
1,
4,
1,
4,
2,
4,
2,
2,
5,
3,
4,
7,
6,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
4,
2,
4,
3,
4,
5,
2,
4,
3,
4,
3,
5,
1,
2,
2,
2,
3,
3,
4,
5,
3,
4,
4,
2,
4,
4,
4,
4,
4,
3,
4,
4,
6,
7,
4,
4,
2,
4,
4,
5,
4,
6,
4,
6,
3,
3,
2,
5,
4,
3,
4,
4,
4,
4,
3,
3,
2,
2,
4,
2,
2,
3,
4,
2,
4,
5,
4,
2,
3,
3,
5,
5,
4,
5,
2,
3,
7,
4,
4,
4,
1,
2,
3,
2,
2,
4,
6,
6,
6,
3,
3,
6,
2,
9,
4,
4,
2,
2,
2,
2,
2,
4,
4,
2,
4,
4,
5,
5,
4,
4,
3,
2,
4,
4,
3,
4,
3,
4,
3,
3,
6,
4,
3,
6,
4,
7,
4,
2,
3,
4,
2,
2,
2,
2,
3,
2,
3,
4,
4,
7,
3,
3,
4,
5,
2,
2,
2,
2,
3,
3,
4,
4,
2,
3,
2,
4,
2,
6,
6,
4,
3,
2,
4,
3,
2,
4,
4,
3,
3,
4,
4,
3,
6,
3,
6,
4,
3,
3,
2,
2,
2,
2,
2,
5,
6,
3,
4,
4,
3,
3,
4,
4,
4,
2,
2,
4,
4,
2,
3,
4,
3,
2,
2,
5,
2,
4,
3,
3,
3,
3,
3,
5,
2,
3,
3,
4,
3,
3,
4,
3,
2,
2,
3,
3,
4,
2,
5,
2,
3,
2,
3,
4,
7,
2,
2,
5,
3,
4,
3,
2,
6,
6,
2,
4,
2,
4,
2,
3,
2,
2,
2,
2,
3,
3,
3,
4,
3,
2,
3,
2,
2,
3,
2,
2,
3,
3,
3,
3,
2,
4,
4,
4,
4,
4,
4,
4,
4,
3,
3,
5,
5,
3,
2,
3,
2,
4,
2,
3,
3,
2,
4,
3,
5,
6,
4,
5,
3,
2,
3,
2,
3,
5,
3,
3,
4,
4,
4,
1,
3,
3,
4,
3,
3,
4,
4,
4,
5,
4,
4,
4,
4,
5,
6,
4,
5,
2,
5,
2,
4,
4,
2,
3,
3,
3,
5,
4,
4,
5,
4,
4,
2,
4,
3,
2,
2,
2,
3,
2,
2,
5,
3,
3,
3,
2,
5,
5,
4,
5,
4,
3,
4,
5,
3,
4,
3,
4,
4,
4,
3,
3,
5,
4,
3,
1,
4,
3,
5,
2,
1,
4,
4,
2,
3,
4,
4,
3,
3,
4,
4,
2,
3,
3,
5,
5,
6,
2,
5,
2,
4,
2,
3,
4,
4,
2,
5,
5,
6,
5,
6,
3,
4,
2,
2,
3,
4,
4,
6,
5,
2,
3,
4,
5,
3,
2,
4,
4,
4,
2,
2,
4,
3,
3,
2,
3,
4,
4,
4,
4,
6,
1,
1,
1,
1,
2,
4,
3,
4,
3,
1,
2,
3,
2,
2,
2,
6,
2,
2,
4,
4,
5,
2,
4,
4,
2,
5,
3,
5,
4,
4,
3,
2,
3,
4,
4,
5,
4,
3,
3,
3,
2,
5,
5,
5,
5,
4,
4,
3,
3,
2,
2,
3,
3,
4,
3,
4,
5,
4,
2,
2,
2,
3,
7,
7,
5,
5,
5,
4,
4,
3,
4,
4,
4,
2,
4,
3,
4,
4,
4,
4,
4,
5,
7,
6,
4,
5,
3,
4,
3,
3,
3,
5,
4,
5,
2,
2,
4,
4,
3,
4,
3,
5,
6,
2,
3,
5,
3,
4,
3,
3,
5,
2,
4,
4,
8,
3,
4,
2,
4,
4,
2,
2,
2,
3,
4,
3,
3,
6,
2,
6,
4,
2,
4,
4,
5,
6,
2,
2,
3,
2,
8,
3,
3,
3,
2,
4,
6,
3,
4,
2,
4,
2,
2,
3,
7,
5,
5,
4,
4,
7,
7,
3,
2,
3,
3,
3,
3,
2,
4,
3,
4,
4,
5,
3,
4,
3,
3,
4,
2,
5,
7,
2,
2,
6,
7,
4,
2,
2,
4,
4,
3,
2,
3,
5,
4,
4,
3,
3,
2,
4,
3,
3,
2,
2,
4,
3,
5,
4,
6,
3,
6,
6,
2,
2,
4,
4,
2,
3,
2,
4,
3,
4,
4,
4,
3,
2,
3,
6,
3,
3,
5,
3,
2,
2,
3,
4,
3,
3,
4,
3,
4,
4,
3,
5,
2,
3,
2,
2,
5,
4,
2,
5,
3,
5,
3,
4,
3,
2,
7,
5,
2,
4,
4,
4,
3,
3,
4,
3,
2,
4,
4,
1,
4,
4,
5,
4,
4,
4,
3,
5,
4,
3,
3,
2,
4,
4,
5,
2,
4,
4,
4,
3,
4,
4,
6,
4,
4,
3,
3,
3,
3,
4,
3,
4,
2,
3,
2,
3,
3,
4,
3,
2,
4,
5,
2,
4,
4,
4,
4,
4,
2,
3,
5,
5,
2,
3,
4,
5,
8,
5,
7,
7,
2,
2,
3,
3,
4,
3,
6,
3,
3,
2,
2,
2,
4,
3,
6,
2,
6,
2,
4,
5,
4,
4,
4,
3,
2,
2,
4,
3,
4,
3,
3,
4,
3,
4,
1,
2,
4,
3,
2,
3,
3,
2,
4,
5,
2,
3,
3,
3,
4,
4,
4,
5,
4,
4,
4,
4,
5,
4,
2,
3,
9,
5,
5,
7,
7,
8,
3,
3,
2,
3,
3,
4,
2,
4,
7,
7,
7,
3,
3,
4,
4,
4,
5,
3,
2,
7,
7,
3,
3,
3,
5,
3,
5,
2,
2,
3,
2,
4,
4,
4,
2,
2,
2,
4,
3,
2,
2,
4,
4,
4,
4,
4,
2,
4,
3,
3,
4,
3,
3,
2,
2,
8,
4,
4,
3,
4,
3,
2,
3,
2,
4,
2,
2,
2,
2,
4,
2,
3,
3,
2,
2,
3,
3,
3,
3,
6,
4,
3,
6,
4,
2,
5,
4,
2,
4,
5,
2,
5,
2,
4,
5,
3,
4,
3,
2,
2,
5,
5,
8,
4,
4,
10,
4,
4,
3,
7,
4,
4,
4,
4,
2,
3,
5,
3,
3,
3,
4,
7,
4,
2,
3,
2,
4,
2,
2,
4,
3,
5,
4,
5,
3,
3,
2,
3,
4,
3,
3,
2,
5,
3,
4,
3,
4,
3,
3,
1,
4,
1,
1,
3,
2,
3,
2,
2,
3,
3,
3,
4,
2,
3,
3,
4,
2,
5,
5,
3,
3,
4,
2,
2,
2,
2,
4,
3,
2,
3,
2,
2,
4,
2,
2,
6,
3,
2,
2,
3,
3,
3,
3,
4,
4,
4,
3,
4,
5,
3,
3,
3,
3,
6,
4,
5,
2,
2,
4,
3,
3,
3,
5,
6,
4,
5,
3,
2,
4,
2,
2,
2,
5,
2,
2,
3,
2,
4,
3,
2,
4,
4,
4,
2,
3,
4,
4,
4,
3,
4,
3,
2,
5,
3,
3,
3,
2,
2,
4,
5,
5,
2,
2,
2,
5,
2,
2,
4,
3,
3,
4,
3,
2,
4,
2,
4,
4,
6,
4,
2,
4,
3,
4,
4,
2,
2,
2,
2,
2,
3,
5,
2,
3,
3,
3,
2,
5,
5,
4,
3,
2,
5,
7,
4,
4,
4,
4,
4,
2,
4,
2,
3,
3,
2,
2,
4,
2,
4,
4,
4,
4,
3,
3,
3,
2,
5,
5,
6,
4,
2,
5,
5,
3,
4,
4,
4,
3,
4,
4,
2,
4,
2,
4,
4,
7,
7,
3,
4,
5,
3,
4,
2,
3,
3,
2,
2,
4,
4,
4,
2,
2,
6,
2,
2,
3,
3,
5,
5,
2,
4,
5,
2,
2,
2,
2,
3,
2,
4,
6,
7,
4,
1,
2,
4,
2,
3,
6,
3,
2,
2,
4,
4,
4,
2,
2,
3,
3,
2,
6,
2,
4,
4,
3,
3,
3,
3,
3,
2,
2,
2,
4,
4,
4,
3,
2,
2,
4,
3,
4,
3,
3,
4,
5,
3,
3,
5,
4,
2,
4,
4,
5,
5,
5,
5,
4,
3,
2,
4,
4,
4,
4,
3,
4,
2,
3,
6,
2,
4,
2,
7,
7,
2,
3,
4,
5,
2,
3,
6,
7,
5,
3,
3,
3,
3,
2,
3,
3,
2,
3,
3,
3,
3,
4,
2,
2,
5,
3,
2,
3,
3,
3,
2,
2,
2,
4,
2,
2,
6,
6,
4,
5,
4,
4,
2,
4,
4,
3,
3,
3,
4,
2,
2,
2,
2,
2,
4,
4,
2,
6,
2,
4,
6,
4,
4,
2,
2,
2,
4,
4,
3,
3,
2,
4,
2,
2,
2,
4,
3,
2,
4,
4,
2,
5,
4,
4,
3,
3,
4,
2,
4,
4,
2,
2,
3,
4,
3,
4,
4,
4,
2,
3,
2,
2,
7,
4,
3,
3,
3,
2,
3,
2,
3,
3,
6,
4,
2,
3,
3,
4,
2,
3,
2,
2,
3,
5,
3,
4,
2,
3,
2,
4,
4,
2,
3,
3,
3,
2,
3,
6,
3,
3,
3,
4,
4,
7,
5,
4,
7,
4,
2,
4,
2,
3,
4,
3,
4,
2,
6,
2,
2,
2,
3,
2,
4,
5,
3,
3,
2,
5,
5,
4,
3,
4,
4,
4,
2,
4,
4,
2,
3,
4,
4,
4,
2,
2,
2,
2,
5,
4,
3,
3,
2,
5,
2,
3,
2,
6,
2,
2,
3,
3,
2,
4,
3,
4,
3,
2,
3,
5,
4,
3,
2,
4,
3,
3,
3,
4,
2,
2,
2,
2,
2,
4,
5,
7,
3,
4,
4,
4,
2,
4,
2,
3,
3,
3,
2,
2,
4,
3,
6,
4,
2,
4,
2,
4,
3,
5,
2,
4,
4,
2,
4,
5,
3,
3,
4,
4,
2,
3,
3,
2,
4,
3,
5,
5,
2,
4,
4,
4,
6,
4,
3,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
4,
7,
3,
3,
5,
4,
4,
3,
6,
5,
4,
5,
3,
5,
3,
4,
3,
4,
4,
2,
2,
2,
4,
5,
3,
6,
4,
5,
3,
5,
2,
3,
3,
2,
2,
2,
2,
3,
3,
4,
5,
3,
2,
3,
3,
5,
4,
4,
3,
2,
3,
4,
7,
4,
6,
5,
6,
3,
3,
5,
3,
4,
4,
3,
3,
2,
2,
4,
2,
3,
3,
3,
2,
2,
3,
6,
2,
4,
4,
6,
5,
3,
4,
6,
2,
3,
4,
7,
4,
3,
3,
4,
2,
4,
3,
2,
5,
2,
3,
4,
6,
5,
4,
2,
3,
3,
2,
3,
3,
3,
3,
2,
4,
5,
4,
2,
3,
4,
2,
2,
3,
4,
4,
2,
2,
3,
3,
3,
3,
4,
1,
2,
2,
3,
3,
4,
3,
3,
4,
3,
3,
3,
4,
3,
2,
3,
2,
2,
2,
2,
2,
8,
2,
2,
2,
2,
4,
4,
2,
2,
2,
3,
2,
2,
2,
4,
3,
2,
2,
5,
4,
2,
8,
6,
3,
4,
3,
3,
4,
5,
5,
5,
4,
2,
3,
2,
4,
3,
3,
2,
2,
3,
2,
2,
3,
4,
2,
3,
4,
8,
3,
2,
5,
3,
4,
4,
7,
4,
5,
3,
4,
7,
3,
6,
3,
2,
4,
3,
2,
6,
3,
2,
2,
4,
2,
3,
6,
5,
5,
4,
3,
2,
2,
2,
6,
8,
3,
4,
2,
3,
3,
2,
4,
5,
2,
3,
3,
4,
2,
2,
3,
3,
5,
2,
3,
3,
5,
3,
2,
4,
2,
3,
3,
3,
6,
3,
3,
3,
3,
3,
3,
2,
2,
2,
2,
3,
4,
4,
3,
3,
4,
4,
4,
2,
3,
3,
2,
2,
2,
1,
2,
5,
3,
5,
3,
2,
2,
3,
2,
2,
2,
3,
5,
5,
1,
3,
2,
3,
5,
3,
3,
2,
2,
2,
5,
2,
4,
3,
4,
2,
6,
4,
2,
4,
6,
4,
2,
2,
4,
4,
6,
4,
4,
2,
6,
7,
7,
3,
4,
3,
4,
4,
3,
2,
4,
2,
2,
6,
6,
5,
4,
5,
4,
2,
3,
3,
4,
5,
2,
3,
4,
3,
2,
4,
3,
2,
2,
5,
3,
1,
2,
6,
4,
3,
4,
8,
3,
2,
2,
2,
2,
7,
4,
2,
2,
4,
3,
2,
4,
2,
3,
2,
3,
4,
3,
2,
3,
4,
2,
9,
4,
2,
2,
4,
5,
3,
4,
6,
6,
3,
3,
6,
4,
4,
6,
2,
3,
3,
2,
2,
3,
4,
3,
3,
2,
2,
2,
4,
8,
8,
3,
2,
5,
1,
4,
2,
6,
4,
2,
4,
4,
5,
2,
2,
4,
2,
2,
8,
3,
3,
2,
2,
4,
2,
3,
3,
3,
2,
3,
4,
3,
7,
5,
4,
5,
3,
2,
2,
8,
4,
3,
2,
4,
5,
6,
2,
2,
6,
3,
3,
5,
7,
3,
5,
3,
4,
3,
3,
6,
2,
8,
6,
3,
3,
3,
2,
4,
2,
4,
4,
2,
5,
3,
2,
2,
2,
4,
4,
4,
6,
2,
2,
2,
4,
6,
4,
2,
2,
2,
2,
3,
2,
7,
2,
3,
6,
5,
2,
2,
2,
4,
2,
2,
5,
2,
2,
2,
3,
4,
3,
5,
5,
3,
3,
5,
3,
3,
3,
2,
2,
2,
4,
2,
8,
4,
2,
4,
2,
2,
2,
2,
3,
3,
8,
4,
2,
2,
3,
2,
4,
1,
4,
3,
2,
4,
3,
4,
3,
2,
2,
2,
2,
3,
3,
6,
7,
6,
4,
4,
2,
4,
5,
4,
5,
2,
5,
5,
6,
7,
2,
4,
3,
3,
5,
7,
7,
4,
4,
2,
3,
3,
4,
2,
2,
2,
2,
2,
4,
2,
4,
1,
3,
3,
3,
4,
2,
4,
3,
3,
5,
5,
3,
4,
4,
4,
3,
3,
4,
4,
3,
4,
5,
4,
4,
3,
2,
8,
4,
4,
3,
2,
3,
4,
4,
4,
3,
2,
4,
2,
2,
1,
4,
4,
4,
4,
3,
4,
3,
4,
3,
4,
4,
3,
2,
5,
4,
2,
2,
2,
4,
3,
3,
2,
5,
2,
2,
2,
3,
3,
4,
2,
3,
4,
4,
4,
3,
4,
3,
3,
3,
4,
4,
7,
2,
2,
2,
2,
2,
3,
4,
2,
3,
4,
4,
2,
2,
2,
3,
2,
4,
5,
8,
4,
2,
4,
4,
6,
5,
4,
6,
6,
3,
2,
3,
3,
3,
3,
5,
2,
2,
4,
4,
4,
2,
3,
2,
3,
2,
3,
4,
1,
2,
3,
3,
4,
4,
2,
5,
3,
2,
3,
3,
2,
3,
2,
2,
2,
3,
3,
4,
4,
2,
3,
4,
3,
2,
5,
4,
3,
3,
3,
3,
3,
2,
3,
3,
3,
2,
2,
3,
2,
6,
3,
4,
3,
3,
4,
3,
2,
5,
6,
6,
2,
3,
2,
2,
3,
6,
2,
1,
3,
4,
3,
3,
4,
3,
2,
2,
3,
3,
3,
3,
4,
3,
3,
1,
2,
3,
3,
7,
6,
7,
4,
2,
2,
3,
2,
2,
2,
2,
2,
4,
2,
2,
4,
1,
2,
2,
4,
2,
3,
2,
3,
4,
5,
3,
3,
5,
2,
3,
4,
5,
2,
4,
3,
2,
2,
5,
4,
2,
4,
3,
2,
2,
2,
4,
7,
2,
6,
3,
2,
2,
2,
4,
3,
3,
2,
3,
7,
4,
2,
2,
4,
5,
4,
3,
2,
4,
3,
3,
2,
4,
4,
4,
3,
3,
3,
2,
5,
3,
4,
4,
4,
3,
2,
4,
5,
5,
2,
4,
4,
4,
3,
4,
2,
4,
4,
2,
3,
4,
3,
2,
4,
2,
2,
2,
2,
5,
4,
4,
5,
2,
3,
6,
6,
4,
3,
2,
4,
3,
7,
4,
2,
3,
4,
3,
2,
4,
2,
2,
2,
3,
3,
3,
4,
5,
5,
4,
2,
6,
6,
4,
2,
4,
6,
4,
3,
3,
5,
4,
5,
4,
2,
4,
3,
2,
2,
3,
4,
3,
4,
3,
3,
5,
5,
4,
3,
4,
4,
3,
4,
4,
4,
3,
2,
2,
2,
4,
3,
2,
6,
3,
3,
2,
2,
2,
2,
4,
3,
2,
2,
2,
4,
4,
4,
3,
2,
3,
2,
4,
2,
3,
3,
2,
2,
3,
2,
2,
4,
2,
4,
4,
2,
2,
2,
1,
4,
2,
4,
4,
4,
4,
2,
2,
3,
3,
2,
2,
7,
2,
4,
3,
3,
3,
2,
5,
7,
3,
2,
4,
4,
4,
4,
4,
3,
2,
4,
4,
4,
2,
6,
4,
4,
4,
3,
3,
3,
3,
3,
3,
5,
4,
1,
3,
2,
5,
4,
4,
4,
4,
6,
2,
6,
2,
3,
4,
4,
4,
5,
3,
3,
4,
4,
4,
5,
6,
1,
2,
3,
5,
2,
3,
3,
3,
7,
4,
4,
5,
5,
4,
4,
4,
3,
4,
2,
2,
4,
4,
4,
3,
2,
6,
2,
5,
4,
4,
4,
2,
2,
3,
4,
4,
4,
4,
3,
3,
3,
2,
2,
2,
4,
4,
4,
4,
4,
2,
4,
4,
4,
4,
4,
2,
4,
2,
3,
3,
7,
6,
6,
4,
7,
4,
4,
4,
2,
2,
3,
2,
2,
2,
3,
4,
7,
2,
4,
5,
5,
3,
6,
3,
4,
3,
4,
2,
3,
3,
6,
3,
3,
1,
3,
2,
2,
4,
4,
7,
7,
4,
9,
5,
3,
2,
5,
4,
3,
3,
4,
4,
2,
2,
3,
6,
5,
4,
4,
4,
4,
3,
2,
2,
2,
3,
5,
2,
2,
3,
4,
3,
3,
3,
4,
2,
2,
4,
3,
1,
1,
4,
4,
6,
3,
3,
3,
3,
3,
3,
3,
3,
6,
4,
4,
2,
3,
2,
6,
2,
1,
2,
3,
2,
5,
4,
4,
7,
2,
4,
2,
3,
4,
3,
4,
3,
2,
6,
3,
4,
3,
4,
2,
4,
4,
4,
2,
3,
3,
2,
3,
3,
4,
2,
3,
2,
2,
4,
4,
3,
3,
3,
2,
2,
4,
3,
4,
7,
1,
2,
5,
3,
3,
4,
8,
3,
4,
2,
3,
2,
3,
3,
4,
4,
2,
3,
4,
4,
2,
2,
4,
2,
2,
2,
2,
3,
3,
2,
2,
2,
4,
2,
4,
4,
6,
2,
2,
2,
4,
4,
4,
3,
3,
4,
2,
5,
2,
2,
5,
2,
2,
4,
2,
2,
3,
3,
2,
3,
3,
3,
2,
3,
2,
3,
3,
3,
3,
3,
5,
2,
4,
2,
2,
4,
3,
2,
2,
4,
3,
4,
4,
3,
3,
4,
4,
2,
2,
3,
3,
2,
2,
3,
2,
3,
2,
2,
3,
2,
2,
4,
2,
2,
6,
2,
2,
5,
3,
3,
3,
4,
2,
3,
3,
3,
2,
4,
2,
4,
2,
4,
3,
4,
2,
4,
2,
2,
2,
2,
3,
3,
4,
4,
3,
4,
1,
1,
2,
3,
4,
5,
3,
2,
3,
7,
2,
3,
3,
4,
4,
8,
4,
4,
4,
3,
3,
2,
4,
3,
2,
4,
5,
4,
4,
7,
7,
4,
4,
4,
3,
2,
4,
4,
3,
4,
4,
4,
5,
2,
2,
3,
4,
3,
2,
5,
4,
4,
3,
5,
4,
4,
4,
4,
2,
2,
3,
2,
8,
8,
2,
2,
2,
3,
7,
3,
5,
3,
2,
2,
4,
4,
2,
4,
2,
4,
5,
4,
3,
4,
7,
4,
2,
5,
1,
3,
5,
4,
3,
3,
4,
2,
4,
3,
2,
2,
3,
1,
3,
6,
3,
4,
5,
3,
4,
4,
6,
6,
5,
4,
2,
3,
5,
2,
4,
5,
2,
2,
2,
3,
3,
4,
2,
4,
2,
3,
8,
4,
3,
2,
3,
4,
4,
4,
3,
3,
5,
4,
4,
3,
2,
3,
3,
4,
3,
4,
2,
3,
8,
3,
4,
2,
3,
2,
5,
2,
2,
5,
3,
4,
5,
2,
5,
2,
4,
4,
6,
4,
2,
2,
2,
2,
5,
2,
2,
3,
6,
2,
2,
2,
3,
3,
2,
4,
2,
4,
4,
4,
2,
4,
4,
4,
4,
3,
2,
3,
3,
3,
5,
6,
4,
3,
4,
5,
4,
4,
4,
5,
6,
2,
3,
3,
2,
2,
2,
5,
4,
3,
4,
5,
4,
4,
3,
6,
4,
3,
5,
2,
3,
2,
3,
2,
2,
2,
2,
2,
4,
4,
3,
4,
4,
3,
4,
3,
4,
4,
3,
2,
2,
3,
3,
4,
4,
3,
4,
5,
3,
3,
3,
2,
6,
4,
4,
2,
4,
4,
3,
2,
2,
3,
2,
2,
4,
5,
5,
5,
2,
3,
2,
2,
4,
3,
3,
4,
5,
2,
2,
6,
6,
2,
4,
4,
5,
5,
3,
4,
2,
4,
4,
2,
3,
3,
4,
4,
4,
4,
3,
4,
3,
4,
4,
3,
2,
2,
3,
3,
3,
2,
4,
4,
1,
3,
2,
3,
3,
4,
6,
5,
2,
2,
3,
4,
2,
2,
2,
2,
2,
3,
4,
2,
2,
2,
2,
3,
2,
2,
2,
3,
3,
3,
4,
2,
2,
4,
4,
3,
3,
3,
4,
5,
3,
2,
3,
2,
2,
2,
4,
6,
4,
4,
9,
3,
2,
5,
5,
7,
6,
2,
2,
2,
3,
4,
5,
4,
2,
2,
2,
2,
2,
2,
2,
4,
3,
2,
3,
4,
4,
2,
2,
3,
3,
4,
3,
2,
3,
3,
3,
4,
3,
5,
4,
4,
2,
2,
4,
2,
4,
4,
2,
3,
3,
3,
3,
4,
4,
4,
4,
5,
5,
1,
4,
3,
5,
4,
5,
2,
2,
4,
2,
2,
2,
5,
3,
4,
3,
3,
3,
4,
3,
4,
2,
1,
6,
8,
4,
4,
3,
3,
2,
3,
2,
2,
2,
4,
4,
4,
3,
3,
3,
3,
2,
1,
4,
5,
6,
2,
2,
3,
7,
6,
6,
5,
4,
4,
4,
3,
3,
6,
4,
2,
2,
4,
4,
2,
4,
2,
2,
4,
1,
6,
2,
4,
2,
4,
3,
2,
2,
1,
2,
2,
3,
3,
2,
2,
4,
3,
4,
4,
2,
3,
2,
2,
3,
4,
5,
5,
2,
2,
2,
2,
2,
4,
6,
4,
5,
5,
4,
3,
2,
3,
4,
4,
2,
4,
2,
4,
4,
3,
2,
2,
2,
2,
2,
2,
2,
3,
3,
4,
6,
3,
4,
4,
4,
3,
2,
2,
2,
3,
4,
3,
3,
3,
2,
2,
2,
7,
4,
3,
4,
2,
2,
2,
4,
3,
3,
4,
3,
4,
2,
4,
4,
3,
3,
4,
3,
2,
4,
4,
2,
2,
4,
2,
2,
3,
3,
2,
3,
4,
4,
3,
4,
4,
4,
4,
3,
3,
2,
2,
2,
4,
4,
2,
2,
2,
5,
2,
3,
2,
4,
6,
5,
4,
4,
4,
4,
3,
2,
2,
3,
2,
2,
4,
4,
4,
2,
4,
4,
4,
4,
2,
3,
4,
4,
3,
2,
4,
3,
2,
4,
4,
2,
4,
4,
3,
2,
3,
4,
4,
3,
3,
3,
4,
3,
3,
8,
3,
3,
1,
4,
5,
4,
4,
2,
4,
2,
2,
3,
4,
6,
6,
5,
2,
2,
4,
3,
4,
4,
2,
3,
2,
2,
2,
2,
5,
2,
4,
2,
2,
4,
3,
3,
4,
3,
8,
7,
4,
3,
3,
2,
2,
2,
2,
3,
3,
2,
2,
4,
2,
2,
6,
3,
3,
3,
3,
3,
4,
5,
3,
3,
2,
6,
6,
5,
3,
4,
2,
4,
4,
4,
7,
2,
4,
4,
4,
4,
4,
3,
2,
3,
3,
8,
2,
3,
4,
5,
3,
3,
4,
2,
4,
5,
4,
2,
3,
2,
3,
4,
4,
4,
3,
4,
3,
2,
4,
3,
3,
5,
1,
6,
4,
2,
5,
4,
3,
1,
3,
2,
4,
2,
4,
4,
3,
5,
4,
4,
3,
3,
4,
4,
4,
4,
2,
2,
2,
2,
3,
4,
6,
2,
2,
2,
2,
2,
4,
4,
3,
2,
4,
2,
2,
4,
8,
4,
5,
4,
7,
4,
4,
3,
3,
4,
2,
2,
2,
4,
3,
2,
2,
4,
2,
3,
4,
4,
4,
4,
2,
3,
3,
4,
2,
2,
2,
3,
4,
4,
4,
2,
4,
2,
3,
2,
3,
4,
2,
6,
2,
3,
6,
4,
2,
4,
2,
2,
3,
3,
3,
6,
4,
4,
4,
3,
3,
2,
3,
2,
2,
2,
5,
4,
2,
3,
1,
3,
2,
3,
4,
3,
4,
2,
3,
3,
4,
4,
2,
2,
2,
7,
2,
4,
3,
6,
4,
3,
3,
3,
4,
2,
3,
5,
5,
2,
2,
1,
2,
3,
2,
2,
4,
3,
8,
4,
3,
4,
4,
3,
2,
3,
2,
4,
2,
3,
3,
3,
3,
3,
2,
4,
4,
4,
3,
3,
3,
7,
4,
6,
2,
2,
2,
4,
4,
4,
4,
3,
3,
2,
3,
4,
4,
3,
5,
2,
2,
2,
1,
4,
2,
5,
3,
2,
2,
3,
5,
4,
3,
3,
2,
4,
1,
4,
2,
4,
6,
2,
2,
3,
3,
3,
3,
5,
5,
4,
5,
5,
6,
4,
2,
5,
4,
4,
3,
4,
2,
2,
4,
2,
4,
4,
3,
4,
2,
2,
4,
3,
3,
3,
2,
2,
2,
2,
2,
2,
3,
4,
2,
2,
4,
2,
3,
5,
4,
3,
3,
5,
4,
2,
2,
3,
5,
3,
4,
5,
6,
4,
6,
3,
3,
8,
2,
3,
3,
2,
4,
4,
3,
3,
4,
2,
4,
5,
4,
3,
3,
7,
6,
6,
3,
5,
2,
4,
3,
2,
3,
3,
5,
4,
4,
3,
3,
3,
3,
2,
6,
3,
4,
6,
3,
4,
4,
7,
2,
3,
3,
4,
3,
3,
2,
2,
2,
2,
2,
4,
4,
3,
5,
2,
2,
3,
3,
2,
6,
6,
4,
6,
2,
2,
2,
4,
3,
2,
2,
3,
4,
4,
3,
4,
3,
4,
3,
4,
3,
3,
2,
4,
4,
3,
3,
4,
3,
3,
2,
2,
2,
7,
3,
3,
5,
4,
5,
3,
3,
2,
1,
3,
3,
3,
4,
2,
4,
4,
3,
4,
3,
5,
4,
4,
2,
4,
2,
3,
2,
7,
5,
4,
6,
3,
4,
3,
4,
2,
2,
3,
2,
4,
4,
3,
2,
3,
4,
2,
4,
5,
3,
4,
4,
2,
3,
2,
3,
4,
4,
3,
4,
4,
3,
5,
3,
4,
2,
3,
3,
3,
3,
2,
3,
2,
5,
4,
4,
4,
3,
2,
8,
4,
4,
4,
4,
3,
4,
3,
3,
2,
4,
2,
6,
2,
3,
6,
6,
3,
3,
2,
2,
7,
3,
4,
4,
4,
4,
3,
5,
3,
3,
2,
5,
3,
2,
2,
4,
3,
2,
4,
2,
4,
2,
4,
4,
4,
2,
2,
3,
3,
4,
4,
3,
3,
2,
3,
4,
4,
2,
2,
6,
4,
4,
2,
3,
2,
2,
3,
4,
2,
5,
2,
7,
6,
4,
4,
4,
5,
2,
2,
2,
3,
3,
2,
3,
5,
3,
3,
3,
4,
8,
3,
2,
3,
4,
6,
3,
2,
3,
3,
3,
4,
5,
5,
3,
3,
5,
4,
4,
4,
3,
4,
4,
4,
4,
4,
3,
5,
4,
3,
4,
2,
3,
4,
2,
4,
4,
2,
4,
2,
2,
3,
4,
4,
3,
3,
4,
2,
4,
4,
2,
4,
7,
2,
4,
2,
3,
2,
3,
5,
3,
3,
3,
4,
4,
2,
3,
2,
2,
7,
4,
4,
3,
4,
4,
4,
4,
5,
4,
4,
5,
3,
3,
2,
2,
4,
4,
3,
2,
3,
3,
1,
3,
2,
4,
4,
6,
4,
2,
2,
3,
3,
3,
4,
3,
2,
4,
3,
6,
3,
3,
2,
4,
3,
4,
1,
2,
3,
3,
2,
2,
2,
3,
3,
3,
4,
3,
4,
4,
3,
3,
4,
4,
3,
3,
3,
2,
4,
3,
4,
4,
4,
2,
2,
4,
5,
5,
4,
3,
2,
5,
5,
3,
4,
3,
3,
4,
3,
5,
4,
3,
3,
3,
3,
3,
3,
4,
2,
2,
5,
3,
3,
3,
3,
2,
2,
3,
3,
2,
3,
2,
6,
3,
2,
3,
1,
2,
2,
2,
3,
5,
4,
4,
4,
4,
3,
3,
2,
4,
4,
3,
6,
5,
6,
6,
3,
3,
2,
3,
2,
3,
2,
2,
3,
2,
6,
3,
3,
2,
4,
4,
2,
5,
3,
2,
4,
4,
2,
4,
4,
2,
3,
4,
3,
2,
2,
2,
2,
5,
5,
3,
4,
2,
4,
3,
3,
3,
4,
3,
4,
5,
2,
6,
8,
4,
2,
2,
3,
3,
3,
3,
3,
3,
3,
5,
3,
4,
4,
5,
4,
4,
2,
4,
7,
1,
2,
5,
2,
3,
3,
3,
3,
4,
3,
3,
3,
2,
5,
3,
4,
2,
3,
3,
5,
4,
2,
3,
3,
3,
2,
6,
3,
4,
4,
4,
2,
5,
2,
2,
2,
2,
5,
3,
4,
3,
2,
5,
2,
4,
2,
2,
3,
4,
4,
4,
3,
2,
2,
4,
3,
3,
4,
2,
5,
3,
4,
7,
4,
2,
2,
4,
4,
4,
2,
3,
4,
4,
4,
2,
3,
4,
3,
5,
3,
2,
3,
2,
2,
3,
3,
3,
4,
3,
3,
2,
4,
5,
3,
4,
2,
3,
3,
1,
3,
3,
5,
2,
3,
3,
2,
2,
8,
1,
3,
2,
2,
3,
2,
4,
2,
4,
2,
4,
4,
4,
4,
6,
3,
4,
2,
2,
4,
2,
2,
5,
3,
4,
4,
4,
2,
4,
4,
5,
3,
3,
2,
4,
2,
2,
4,
2,
2,
3,
3,
3,
2,
2,
4,
4,
2,
2,
3,
8,
5,
3,
4,
5,
3,
3,
4,
4,
2,
4,
2,
2,
2,
5,
3,
2,
2,
5,
3,
5,
5,
4,
3,
2,
5,
5,
6,
3,
3,
4,
2,
2,
3,
3,
2,
3,
3,
3,
3,
2,
4,
2,
3,
3,
2,
2,
2,
2,
2,
4,
3,
2,
5,
3,
4,
6,
4,
3,
2,
4,
3,
3,
5,
2,
2,
4,
3,
3,
4,
2,
2,
2,
5,
5,
5,
3,
2,
3,
2,
4,
4,
2,
4,
2,
5,
5,
2,
8,
4,
3,
3,
2,
2,
6,
5,
2,
4,
2,
2,
3,
3,
7,
2,
4,
4,
1,
3,
4,
3,
3,
2,
3,
2,
2,
2,
2,
2,
4,
2,
8,
6,
4,
2,
2,
4,
3,
3,
3,
4,
2,
4,
5,
4,
2,
3,
2,
2,
2,
1,
4,
3,
4,
2,
3,
2,
2,
3,
3,
4,
2,
3,
4,
4,
2,
2,
4,
4,
2,
3,
3,
6,
2,
4,
4,
2,
2,
3,
2,
2,
2,
3,
7,
2,
3,
6,
4,
2,
2,
4,
3,
5,
5,
4,
5,
2,
2,
4,
5,
2,
4,
2,
4,
1,
3,
8,
3,
3,
2,
2,
2,
2,
2,
5,
4,
3,
2,
2,
3,
3,
4,
2,
2,
3,
3,
2,
5,
5,
3,
3,
3,
3,
3,
2,
2,
3,
2,
3,
4,
4,
3,
4,
2,
3,
4,
2,
7,
4,
2,
4,
2,
2,
2,
4,
4,
4,
2,
4,
5,
4,
2,
2,
3,
4,
4,
2,
4,
4,
2,
3,
3,
4,
3,
4,
4,
2,
2,
4,
2,
2,
4,
4,
2,
2,
3,
3,
4,
3,
2,
2,
2,
5,
2,
4,
2,
3,
4,
4,
2,
2,
3,
2,
6,
3,
4,
4,
6,
4,
2,
3,
3,
3,
2,
4,
4,
2,
2,
4,
3,
7,
4,
4,
1,
4,
6,
2,
3,
3,
3,
3,
1,
4,
3,
3,
2,
4,
4,
2,
4,
4,
3,
2,
2,
6,
4,
4,
4,
4,
4,
3,
3,
5,
4,
4,
3,
3,
2,
4,
3,
4,
3,
4,
4,
4,
4,
3,
2,
3,
3,
2,
4,
4,
2,
6,
4,
4,
5,
3,
4,
2,
2,
2,
2,
3,
3,
3,
2,
6,
5,
4,
2,
2,
2,
2,
4,
2,
4,
4,
3,
2,
2,
3,
4,
2,
2,
2,
3,
2,
2,
2,
4,
4,
4,
4,
4,
3,
4,
2,
4,
5,
4,
4,
4,
3,
5,
2,
2,
2,
2,
3,
2,
3,
2,
4,
6,
4,
3,
3,
3,
5,
3,
2,
2,
3,
2,
2,
2,
4,
4,
4,
3,
4,
2,
5,
4,
3,
2,
3,
2,
3,
3,
4,
2,
3,
2,
2,
3,
4,
4,
2,
3,
4,
2,
7,
3,
3,
4,
4,
2,
4,
2,
4,
3,
3,
2,
4,
2,
4,
6,
2,
3,
3,
2,
4,
2,
2,
4,
5,
2,
3,
3,
4,
5,
2,
2,
4,
4,
1,
3,
2,
2,
4,
3,
2,
5,
2,
2,
4,
5,
3,
2,
3,
1,
3,
2,
1,
3,
4,
5,
2,
2,
2,
4,
3,
5,
4,
2,
3,
2,
3,
3,
3,
4,
3,
4,
5,
3,
3,
2,
8,
2,
2,
4,
4,
2,
2,
2,
4,
2,
2,
2,
2,
2,
2,
6,
2,
2,
2,
3,
4,
3,
4,
3,
4,
2,
2,
2,
2,
3,
4,
3,
3,
4,
3,
5,
2,
2,
5,
2,
2,
2,
4,
4,
3,
3,
2,
5,
4,
4,
3,
4,
4,
1,
4,
3,
3,
3,
3,
3,
4,
4,
6,
5,
2,
2,
4,
4,
7,
3,
4,
4,
3,
4,
4,
3,
3,
2,
4,
2,
4,
4,
4,
4,
4,
2,
2,
4,
2,
4,
2,
5,
4,
4,
2,
4,
5,
4,
4,
3,
4,
7,
2,
3,
4,
4,
2,
2,
2,
3,
4,
4,
4,
2,
4,
3,
4,
4,
6,
6,
5,
2,
3,
4,
2,
4,
2,
2,
3,
4,
4,
4,
4,
4,
3,
3,
2,
5,
4,
3,
5,
2,
3,
4,
3,
3,
4,
5,
1,
2,
3,
3,
3,
4,
5,
4,
3,
3,
4,
3,
2,
4,
4,
4,
4,
2,
2,
4,
2,
4,
3,
2,
2,
4,
3,
3,
4,
2,
5,
2,
4,
4,
4,
4,
3,
4,
3,
3,
4,
4,
5,
2,
4,
3,
2,
4,
3,
2,
2,
3,
2,
2,
5,
3,
8,
3,
3,
4,
4,
3,
4,
3,
3,
4,
4,
6,
4,
2,
1,
4,
3,
3,
3,
2,
4,
2,
4,
2,
5,
6,
3,
3,
2,
2,
4,
3,
4,
3,
3,
4,
4,
4,
4,
2,
3,
4,
3,
2,
2,
2,
2,
4,
2,
2,
2,
3,
3,
3,
5,
2,
4,
3,
4,
2,
3,
3,
2,
2,
2,
4,
3,
2,
2,
2,
2,
4,
3,
4,
5,
4,
4,
3,
2,
2,
2,
4,
3,
3,
2,
4,
4,
4,
7,
3,
3,
2,
4,
3,
4,
2,
4,
3,
4,
4,
4,
3,
2,
3,
4,
7,
4,
4,
3,
4,
2,
2,
4,
4,
3,
3,
4,
2,
4,
2,
4,
2,
2,
2,
2,
4,
2,
4,
3,
4,
2,
2,
3,
7,
3,
4,
2,
5,
4,
2,
4,
4,
4,
4,
4,
4,
4,
5,
4,
2,
3,
2,
4,
4,
5,
2,
2,
4,
2,
5,
4,
4,
4,
3,
5,
3,
4,
3,
3,
2,
3,
3,
2,
2,
3,
3,
3,
2,
4,
4,
3,
2,
3,
5,
7,
2,
4,
2,
4,
2,
3,
4,
3,
2,
2,
2,
2,
2,
4,
3,
4,
2,
4,
2,
4,
4,
4,
4,
3,
3,
2,
3,
3,
4,
4,
5,
4,
6,
4,
3,
2,
6,
2,
6,
2,
3,
3,
2,
4,
3,
4,
3,
2,
2,
2,
5,
2,
4,
3,
2,
2,
3,
4,
2,
4,
3,
4,
2,
5,
2,
2,
5,
2,
2,
3,
3,
4,
3,
4,
2,
2,
4,
3,
3,
2,
2,
3,
3,
2,
3,
3,
3,
3,
3,
2,
3,
3,
2,
3,
4,
3,
5,
2,
1,
2,
2,
3,
5,
5,
5,
2,
9,
3,
5,
2,
4,
6,
4,
4,
3,
4,
2,
4,
2,
3,
3,
1,
2,
4,
4,
2,
4,
2,
3,
6,
2,
3,
6,
4,
6,
2,
4,
4,
2,
3,
3,
4,
4,
3,
3,
3,
4,
2,
2,
3,
4,
4,
1,
3,
2,
3,
2,
3,
2,
1,
3,
4,
5,
2,
2,
2,
3,
6,
3,
2,
5,
3,
2,
4,
2,
3,
4,
7,
3,
3,
3,
4,
4,
5,
4,
3,
3,
3,
2,
3,
2,
3,
2,
2,
2,
2,
2,
3,
5,
2,
3,
6,
4,
2,
3,
2,
6,
3,
3,
2,
3,
2,
4,
4,
5,
6,
2,
2,
2,
4,
1,
2,
1,
2,
2,
2,
4,
4,
2,
4,
2,
4,
4,
3,
3,
5,
2,
2,
2,
4,
2,
2,
2,
3,
4,
4,
2,
4,
2,
4,
4,
2,
5,
2,
2,
5,
4,
4,
2,
2,
5,
4,
4,
5,
5,
4,
1,
2,
4,
2,
3,
5,
2,
4,
7,
4,
2,
4,
2,
3,
4,
8,
5,
4,
2,
2,
3,
3,
2,
2,
2,
2,
3,
1,
2,
4,
7,
3,
2,
2,
2,
6,
2,
4,
3,
5,
2,
2,
7,
6,
7,
3,
3,
2,
3,
5,
6,
2,
2,
3,
1,
3,
2,
3,
3,
3,
4,
3,
3,
3,
3,
4,
2,
4,
5,
2,
3,
5,
3,
7,
2,
4,
6,
2,
4,
3,
1,
3,
4,
4,
4,
4,
5,
2,
3,
2,
3,
3,
2,
3,
2,
4,
4,
2,
2,
2,
2,
3,
4,
3,
3,
3,
4,
5,
2,
3,
2,
2,
4,
3,
5,
5,
3,
2,
2,
4,
3,
2,
4,
4,
2,
2,
6,
5,
2,
5,
3,
6,
3,
4,
3,
3,
3,
3,
6,
2,
3,
3,
2,
2,
4,
3,
3,
4,
4,
2,
4,
2,
2,
3,
2,
3,
6,
2,
2,
4,
2,
3,
2,
3,
2,
2,
3,
4,
2,
4,
6,
4,
4,
4,
4,
4,
3,
4,
4,
7,
2,
2,
2,
2,
4,
4,
2,
4,
2,
2,
3,
5,
4,
3,
4,
3,
3,
4,
2,
2,
2,
4,
3,
2,
2,
4,
2,
2,
2,
2,
3,
3,
4,
2,
1,
3,
2,
3,
2,
2,
2,
3,
2,
2,
3,
3,
3,
2,
3,
2,
3,
3,
5
],
"xaxis": "x2",
"yaxis": "y2"
}
],
"layout": {
"barmode": "relative",
"legend": {
"tracegroupgap": 0
},
"margin": {
"t": 60
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#f2f5fa"
},
"error_y": {
"color": "#f2f5fa"
},
"marker": {
"line": {
"color": "rgb(17,17,17)",
"width": 0.5
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "rgb(17,17,17)",
"width": 0.5
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#A2B1C6",
"gridcolor": "#506784",
"linecolor": "#506784",
"minorgridcolor": "#506784",
"startlinecolor": "#A2B1C6"
},
"baxis": {
"endlinecolor": "#A2B1C6",
"gridcolor": "#506784",
"linecolor": "#506784",
"minorgridcolor": "#506784",
"startlinecolor": "#A2B1C6"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"marker": {
"line": {
"color": "#283442"
}
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"line": {
"color": "#283442"
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#506784"
},
"line": {
"color": "rgb(17,17,17)"
}
},
"header": {
"fill": {
"color": "#2a3f5f"
},
"line": {
"color": "rgb(17,17,17)"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#f2f5fa",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#f2f5fa"
},
"geo": {
"bgcolor": "rgb(17,17,17)",
"lakecolor": "rgb(17,17,17)",
"landcolor": "rgb(17,17,17)",
"showlakes": true,
"showland": true,
"subunitcolor": "#506784"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "dark"
},
"paper_bgcolor": "rgb(17,17,17)",
"plot_bgcolor": "rgb(17,17,17)",
"polar": {
"angularaxis": {
"gridcolor": "#506784",
"linecolor": "#506784",
"ticks": ""
},
"bgcolor": "rgb(17,17,17)",
"radialaxis": {
"gridcolor": "#506784",
"linecolor": "#506784",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "rgb(17,17,17)",
"gridcolor": "#506784",
"gridwidth": 2,
"linecolor": "#506784",
"showbackground": true,
"ticks": "",
"zerolinecolor": "#C8D4E3"
},
"yaxis": {
"backgroundcolor": "rgb(17,17,17)",
"gridcolor": "#506784",
"gridwidth": 2,
"linecolor": "#506784",
"showbackground": true,
"ticks": "",
"zerolinecolor": "#C8D4E3"
},
"zaxis": {
"backgroundcolor": "rgb(17,17,17)",
"gridcolor": "#506784",
"gridwidth": 2,
"linecolor": "#506784",
"showbackground": true,
"ticks": "",
"zerolinecolor": "#C8D4E3"
}
},
"shapedefaults": {
"line": {
"color": "#f2f5fa"
}
},
"sliderdefaults": {
"bgcolor": "#C8D4E3",
"bordercolor": "rgb(17,17,17)",
"borderwidth": 1,
"tickwidth": 0
},
"ternary": {
"aaxis": {
"gridcolor": "#506784",
"linecolor": "#506784",
"ticks": ""
},
"baxis": {
"gridcolor": "#506784",
"linecolor": "#506784",
"ticks": ""
},
"bgcolor": "rgb(17,17,17)",
"caxis": {
"gridcolor": "#506784",
"linecolor": "#506784",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"updatemenudefaults": {
"bgcolor": "#506784",
"borderwidth": 0
},
"xaxis": {
"automargin": true,
"gridcolor": "#283442",
"linecolor": "#506784",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "#283442",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "#283442",
"linecolor": "#506784",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "#283442",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Number of hospitals with extra rooms",
"x": 0.5
},
"xaxis": {
"anchor": "y",
"domain": [
0,
1
],
"title": {
"text": "Available Extra Rooms in Hospital"
}
},
"xaxis2": {
"anchor": "y2",
"domain": [
0,
1
],
"matches": "x",
"showgrid": true,
"showticklabels": false
},
"yaxis": {
"anchor": "x",
"domain": [
0,
0.8316
],
"title": {
"text": "count"
}
},
"yaxis2": {
"anchor": "x2",
"domain": [
0.8416,
1
],
"matches": "y2",
"showgrid": false,
"showline": false,
"showticklabels": false,
"ticks": ""
}
}
},
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"fig3=px.histogram(df,x='Available Extra Rooms in Hospital',marginal='box',color_discrete_sequence=['orange'],opacity=0.7)\n",
"fig3.update_layout(template='plotly_dark',title='Number of hospitals with extra rooms',title_x=0.5)\n",
"fig3.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"papermill": {
"duration": 1.791482,
"end_time": "2020-11-12T17:50:23.734547",
"exception": false,
"start_time": "2020-11-12T17:50:21.943065",
"status": "completed"
},
"tags": []
},
"source": [
"Comme nous pouvons le voir sur l'histogramme ci-dessus, la majorité des hôpitaux disposent de chambres supplémentaires de 2, 3 ou 4 pièces. La médiane des chambres supplémentaires est de 3.\n",
"\n",
"\n",
"## Chambres disponibles Vs Code de la région\n",
"\n",
"Vérifions quelle région de X,Y et Z dispose du plus grand nombre de chambres supplémentaires. Idéalement, elles devraient avoir une répartition uniforme montrant des charges de cas égales. Vérifions ce que disent les données."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"_kg_hide-input": true,
"execution": {
"iopub.execute_input": "2020-11-12T17:50:27.333455Z",
"iopub.status.busy": "2020-11-12T17:50:27.332525Z",
"iopub.status.idle": "2020-11-12T17:50:27.405417Z",
"shell.execute_reply": "2020-11-12T17:50:27.404776Z"
},
"papermill": {
"duration": 1.909809,
"end_time": "2020-11-12T17:50:27.405544",
"exception": false,
"start_time": "2020-11-12T17:50:25.495735",
"status": "completed"
},
"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/rodrique/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:2: SettingWithCopyWarning:\n",
"\n",
"\n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
"\n"
]
}
],
"source": [
"df_beds=df[['Hospital_code','Available Extra Rooms in Hospital','Hospital_region_code']]\n",
"df_beds['Hospital_region_code']=df_beds['Hospital_region_code'].map({'X':1,'Y':2,'Z':3})\n",
"df_beds_grouped=df_beds.groupby('Hospital_code')[['Available Extra Rooms in Hospital','Hospital_region_code']].median().reset_index()\n"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"execution": {
"iopub.execute_input": "2020-11-12T17:50:30.932071Z",
"iopub.status.busy": "2020-11-12T17:50:30.930907Z",
"iopub.status.idle": "2020-11-12T17:50:30.935371Z",
"shell.execute_reply": "2020-11-12T17:50:30.934794Z"
},
"papermill": {
"duration": 1.773606,
"end_time": "2020-11-12T17:50:30.935499",
"exception": false,
"start_time": "2020-11-12T17:50:29.161893",
"status": "completed"
},
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Hospital_code | \n",
" Available Extra Rooms in Hospital | \n",
" Hospital_region_code | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 1 | \n",
" 3 | \n",
" Y | \n",
"
\n",
" \n",
" 1 | \n",
" 2 | \n",
" 2 | \n",
" Z | \n",
"
\n",
" \n",
" 2 | \n",
" 3 | \n",
" 3 | \n",
" Z | \n",
"
\n",
" \n",
" 3 | \n",
" 4 | \n",
" 3 | \n",
" X | \n",
"
\n",
" \n",
" 4 | \n",
" 5 | \n",
" 3 | \n",
" X | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Hospital_code Available Extra Rooms in Hospital Hospital_region_code\n",
"0 1 3 Y\n",
"1 2 2 Z\n",
"2 3 3 Z\n",
"3 4 3 X\n",
"4 5 3 X"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_beds_grouped['Hospital_region_code']=df_beds_grouped['Hospital_region_code'].map({1:'X',2:'Y',3:'Z'})\n",
"df_beds_grouped.head()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"_kg_hide-input": true,
"execution": {
"iopub.execute_input": "2020-11-12T17:50:34.514087Z",
"iopub.status.busy": "2020-11-12T17:50:34.508535Z",
"iopub.status.idle": "2020-11-12T17:50:34.592568Z",
"shell.execute_reply": "2020-11-12T17:50:34.593210Z"
},
"papermill": {
"duration": 1.873756,
"end_time": "2020-11-12T17:50:34.593407",
"exception": false,
"start_time": "2020-11-12T17:50:32.719651",
"status": "completed"
},
"tags": []
},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"domain": {
"x": [
0,
1
],
"y": [
0,
1
]
},
"hole": 0.4,
"hovertemplate": "Hospital_region_code=%{label}
Available Extra Rooms in Hospital=%{value}",
"labels": [
"X",
"Y",
"Z"
],
"legendgroup": "",
"name": "",
"showlegend": true,
"textinfo": "percent+label",
"type": "pie",
"values": [
36,
29,
29
]
}
],
"layout": {
"legend": {
"tracegroupgap": 0
},
"margin": {
"t": 60
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Number of extra rooms in each region code",
"x": 0.5
}
}
},
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df_beds_1=df_beds_grouped.groupby('Hospital_region_code')['Available Extra Rooms in Hospital'].sum().reset_index()\n",
"fig4=px.pie(df_beds_1,values='Available Extra Rooms in Hospital',names='Hospital_region_code',hole=0.4)\n",
"fig4.update_layout(title='Number of extra rooms in each region code',title_x=0.5)\n",
"fig4.update_traces(textinfo='percent+label')"
]
},
{
"cell_type": "markdown",
"metadata": {
"papermill": {
"duration": 1.8859,
"end_time": "2020-11-12T17:50:38.261565",
"exception": false,
"start_time": "2020-11-12T17:50:36.375665",
"status": "completed"
},
"tags": []
},
"source": [
"Le graphique ci-dessus montre que le nombre de chambres supplémentaires disponibles est réparti presque égale entre les trois codes régionaux. C'est un scénario idéal.\n",
"\n",
"## Département\n",
"\n",
"Ici, nous allons vérifier quels sont les services qui ont le plus grand nombre de dossiers.\n"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"_kg_hide-input": true,
"execution": {
"iopub.execute_input": "2020-11-12T17:50:41.894471Z",
"iopub.status.busy": "2020-11-12T17:50:41.893668Z",
"iopub.status.idle": "2020-11-12T17:50:41.939220Z",
"shell.execute_reply": "2020-11-12T17:50:41.938519Z"
},
"papermill": {
"duration": 1.888588,
"end_time": "2020-11-12T17:50:41.939384",
"exception": false,
"start_time": "2020-11-12T17:50:40.050796",
"status": "completed"
},
"tags": []
},
"outputs": [],
"source": [
"df_dept=df.groupby('Department')['Count'].sum().reset_index().sort_values(by='Count',ascending=False)\n"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"_kg_hide-input": true,
"execution": {
"iopub.execute_input": "2020-11-12T17:50:45.586489Z",
"iopub.status.busy": "2020-11-12T17:50:45.585654Z",
"iopub.status.idle": "2020-11-12T17:50:45.676753Z",
"shell.execute_reply": "2020-11-12T17:50:45.677366Z"
},
"papermill": {
"duration": 1.943112,
"end_time": "2020-11-12T17:50:45.677528",
"exception": false,
"start_time": "2020-11-12T17:50:43.734416",
"status": "completed"
},
"tags": []
},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"alignmentgroup": "True",
"hovertemplate": "Department=%{x}
Number of patients=%{y}",
"legendgroup": "gynecology",
"marker": {
"color": "#636efa"
},
"name": "gynecology",
"offsetgroup": "gynecology",
"orientation": "v",
"showlegend": true,
"textposition": "auto",
"type": "bar",
"x": [
"gynecology"
],
"xaxis": "x",
"y": [
249486
],
"yaxis": "y"
},
{
"alignmentgroup": "True",
"hovertemplate": "Department=%{x}
Number of patients=%{y}",
"legendgroup": "anesthesia",
"marker": {
"color": "#EF553B"
},
"name": "anesthesia",
"offsetgroup": "anesthesia",
"orientation": "v",
"showlegend": true,
"textposition": "auto",
"type": "bar",
"x": [
"anesthesia"
],
"xaxis": "x",
"y": [
29649
],
"yaxis": "y"
},
{
"alignmentgroup": "True",
"hovertemplate": "Department=%{x}
Number of patients=%{y}",
"legendgroup": "radiotherapy",
"marker": {
"color": "#00cc96"
},
"name": "radiotherapy",
"offsetgroup": "radiotherapy",
"orientation": "v",
"showlegend": true,
"textposition": "auto",
"type": "bar",
"x": [
"radiotherapy"
],
"xaxis": "x",
"y": [
28516
],
"yaxis": "y"
},
{
"alignmentgroup": "True",
"hovertemplate": "Department=%{x}
Number of patients=%{y}",
"legendgroup": "TB & Chest disease",
"marker": {
"color": "#ab63fa"
},
"name": "TB & Chest disease",
"offsetgroup": "TB & Chest disease",
"orientation": "v",
"showlegend": true,
"textposition": "auto",
"type": "bar",
"x": [
"TB & Chest disease"
],
"xaxis": "x",
"y": [
9586
],
"yaxis": "y"
},
{
"alignmentgroup": "True",
"hovertemplate": "Department=%{x}
Number of patients=%{y}",
"legendgroup": "surgery",
"marker": {
"color": "#FFA15A"
},
"name": "surgery",
"offsetgroup": "surgery",
"orientation": "v",
"showlegend": true,
"textposition": "auto",
"type": "bar",
"x": [
"surgery"
],
"xaxis": "x",
"y": [
1201
],
"yaxis": "y"
}
],
"layout": {
"barmode": "relative",
"legend": {
"title": {
"text": "Department"
},
"tracegroupgap": 0
},
"margin": {
"t": 60
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#f2f5fa"
},
"error_y": {
"color": "#f2f5fa"
},
"marker": {
"line": {
"color": "rgb(17,17,17)",
"width": 0.5
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "rgb(17,17,17)",
"width": 0.5
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#A2B1C6",
"gridcolor": "#506784",
"linecolor": "#506784",
"minorgridcolor": "#506784",
"startlinecolor": "#A2B1C6"
},
"baxis": {
"endlinecolor": "#A2B1C6",
"gridcolor": "#506784",
"linecolor": "#506784",
"minorgridcolor": "#506784",
"startlinecolor": "#A2B1C6"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"marker": {
"line": {
"color": "#283442"
}
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"line": {
"color": "#283442"
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#506784"
},
"line": {
"color": "rgb(17,17,17)"
}
},
"header": {
"fill": {
"color": "#2a3f5f"
},
"line": {
"color": "rgb(17,17,17)"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#f2f5fa",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#f2f5fa"
},
"geo": {
"bgcolor": "rgb(17,17,17)",
"lakecolor": "rgb(17,17,17)",
"landcolor": "rgb(17,17,17)",
"showlakes": true,
"showland": true,
"subunitcolor": "#506784"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "dark"
},
"paper_bgcolor": "rgb(17,17,17)",
"plot_bgcolor": "rgb(17,17,17)",
"polar": {
"angularaxis": {
"gridcolor": "#506784",
"linecolor": "#506784",
"ticks": ""
},
"bgcolor": "rgb(17,17,17)",
"radialaxis": {
"gridcolor": "#506784",
"linecolor": "#506784",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "rgb(17,17,17)",
"gridcolor": "#506784",
"gridwidth": 2,
"linecolor": "#506784",
"showbackground": true,
"ticks": "",
"zerolinecolor": "#C8D4E3"
},
"yaxis": {
"backgroundcolor": "rgb(17,17,17)",
"gridcolor": "#506784",
"gridwidth": 2,
"linecolor": "#506784",
"showbackground": true,
"ticks": "",
"zerolinecolor": "#C8D4E3"
},
"zaxis": {
"backgroundcolor": "rgb(17,17,17)",
"gridcolor": "#506784",
"gridwidth": 2,
"linecolor": "#506784",
"showbackground": true,
"ticks": "",
"zerolinecolor": "#C8D4E3"
}
},
"shapedefaults": {
"line": {
"color": "#f2f5fa"
}
},
"sliderdefaults": {
"bgcolor": "#C8D4E3",
"bordercolor": "rgb(17,17,17)",
"borderwidth": 1,
"tickwidth": 0
},
"ternary": {
"aaxis": {
"gridcolor": "#506784",
"linecolor": "#506784",
"ticks": ""
},
"baxis": {
"gridcolor": "#506784",
"linecolor": "#506784",
"ticks": ""
},
"bgcolor": "rgb(17,17,17)",
"caxis": {
"gridcolor": "#506784",
"linecolor": "#506784",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"updatemenudefaults": {
"bgcolor": "#506784",
"borderwidth": 0
},
"xaxis": {
"automargin": true,
"gridcolor": "#283442",
"linecolor": "#506784",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "#283442",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "#283442",
"linecolor": "#506784",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "#283442",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Case load distribution per department",
"x": 0.5
},
"xaxis": {
"anchor": "y",
"categoryarray": [
"gynecology",
"anesthesia",
"radiotherapy",
"TB & Chest disease",
"surgery"
],
"categoryorder": "array",
"domain": [
0,
1
],
"title": {
"text": "Department"
}
},
"yaxis": {
"anchor": "x",
"domain": [
0,
1
],
"title": {
"text": "Number of patients"
}
}
}
},
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig5=px.bar(df_dept,x='Department',y='Count',color='Department',labels={'Count':'Number of patients'})\n",
"fig5.update_layout(title='Case load distribution per department',title_x=0.5,template='plotly_dark')\n",
"fig5.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"papermill": {
"duration": 1.824551,
"end_time": "2020-11-12T17:50:49.288622",
"exception": false,
"start_time": "2020-11-12T17:50:47.464071",
"status": "completed"
},
"tags": []
},
"source": [
"Sur le graphique ci-dessus, on voit que la majorité des patients s'inscrivent eux-mêmes au service de gynécologie. Le service de chirurgie est celui qui compte le moins de cas. On peut s'y attendre, car le nombre de naissances quotidiennes est bien plus élevé que le nombre d'opérations quotidiennes.\n",
"\n",
"\n",
"## Gravité de la maladie\n",
"\n",
"Vérifions le nombre de patients pour chaque gravité de maladie."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"_kg_hide-input": true,
"execution": {
"iopub.execute_input": "2020-11-12T17:50:52.937438Z",
"iopub.status.busy": "2020-11-12T17:50:52.936604Z",
"iopub.status.idle": "2020-11-12T17:50:53.118298Z",
"shell.execute_reply": "2020-11-12T17:50:53.118967Z"
},
"papermill": {
"duration": 2.024769,
"end_time": "2020-11-12T17:50:53.119131",
"exception": false,
"start_time": "2020-11-12T17:50:51.094362",
"status": "completed"
},
"tags": []
},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Number of patients=%{x}
Severity of Illness=%{y}",
"legendgroup": "175843",
"marker": {
"color": "#636efa"
},
"name": "175843",
"orientation": "h",
"showlegend": true,
"type": "funnel",
"x": [
175843
],
"xaxis": "x",
"y": [
"Moderate"
],
"yaxis": "y"
},
{
"hovertemplate": "Number of patients=%{x}
Severity of Illness=%{y}",
"legendgroup": "85872",
"marker": {
"color": "#EF553B"
},
"name": "85872",
"orientation": "h",
"showlegend": true,
"type": "funnel",
"x": [
85872
],
"xaxis": "x",
"y": [
"Minor"
],
"yaxis": "y"
},
{
"hovertemplate": "Number of patients=%{x}
Severity of Illness=%{y}",
"legendgroup": "56723",
"marker": {
"color": "#00cc96"
},
"name": "56723",
"orientation": "h",
"showlegend": true,
"type": "funnel",
"x": [
56723
],
"xaxis": "x",
"y": [
"Extreme"
],
"yaxis": "y"
}
],
"layout": {
"legend": {
"title": {
"text": "Number of patients"
},
"tracegroupgap": 0
},
"margin": {
"t": 60
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#f2f5fa"
},
"error_y": {
"color": "#f2f5fa"
},
"marker": {
"line": {
"color": "rgb(17,17,17)",
"width": 0.5
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "rgb(17,17,17)",
"width": 0.5
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#A2B1C6",
"gridcolor": "#506784",
"linecolor": "#506784",
"minorgridcolor": "#506784",
"startlinecolor": "#A2B1C6"
},
"baxis": {
"endlinecolor": "#A2B1C6",
"gridcolor": "#506784",
"linecolor": "#506784",
"minorgridcolor": "#506784",
"startlinecolor": "#A2B1C6"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"marker": {
"line": {
"color": "#283442"
}
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"line": {
"color": "#283442"
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#506784"
},
"line": {
"color": "rgb(17,17,17)"
}
},
"header": {
"fill": {
"color": "#2a3f5f"
},
"line": {
"color": "rgb(17,17,17)"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#f2f5fa",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#f2f5fa"
},
"geo": {
"bgcolor": "rgb(17,17,17)",
"lakecolor": "rgb(17,17,17)",
"landcolor": "rgb(17,17,17)",
"showlakes": true,
"showland": true,
"subunitcolor": "#506784"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "dark"
},
"paper_bgcolor": "rgb(17,17,17)",
"plot_bgcolor": "rgb(17,17,17)",
"polar": {
"angularaxis": {
"gridcolor": "#506784",
"linecolor": "#506784",
"ticks": ""
},
"bgcolor": "rgb(17,17,17)",
"radialaxis": {
"gridcolor": "#506784",
"linecolor": "#506784",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "rgb(17,17,17)",
"gridcolor": "#506784",
"gridwidth": 2,
"linecolor": "#506784",
"showbackground": true,
"ticks": "",
"zerolinecolor": "#C8D4E3"
},
"yaxis": {
"backgroundcolor": "rgb(17,17,17)",
"gridcolor": "#506784",
"gridwidth": 2,
"linecolor": "#506784",
"showbackground": true,
"ticks": "",
"zerolinecolor": "#C8D4E3"
},
"zaxis": {
"backgroundcolor": "rgb(17,17,17)",
"gridcolor": "#506784",
"gridwidth": 2,
"linecolor": "#506784",
"showbackground": true,
"ticks": "",
"zerolinecolor": "#C8D4E3"
}
},
"shapedefaults": {
"line": {
"color": "#f2f5fa"
}
},
"sliderdefaults": {
"bgcolor": "#C8D4E3",
"bordercolor": "rgb(17,17,17)",
"borderwidth": 1,
"tickwidth": 0
},
"ternary": {
"aaxis": {
"gridcolor": "#506784",
"linecolor": "#506784",
"ticks": ""
},
"baxis": {
"gridcolor": "#506784",
"linecolor": "#506784",
"ticks": ""
},
"bgcolor": "rgb(17,17,17)",
"caxis": {
"gridcolor": "#506784",
"linecolor": "#506784",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"updatemenudefaults": {
"bgcolor": "#506784",
"borderwidth": 0
},
"xaxis": {
"automargin": true,
"gridcolor": "#283442",
"linecolor": "#506784",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "#283442",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "#283442",
"linecolor": "#506784",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "#283442",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Case load depending upon severity of illness",
"x": 0.5
},
"xaxis": {
"anchor": "y",
"categoryarray": [
175843,
85872,
56723
],
"categoryorder": "array",
"domain": [
0,
1
],
"title": {
"text": "Number of patients"
}
},
"yaxis": {
"anchor": "x",
"domain": [
0,
1
],
"title": {
"text": "Severity of Illness"
}
}
}
},
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df_sev=df.groupby('Severity of Illness')['Count'].sum().reset_index().sort_values(by='Count',ascending=False)\n",
"fig6=px.funnel(df_sev,x='Count',y='Severity of Illness',labels={'Count':'Number of patients'},color='Count')\n",
"fig6.update_layout(title='Case load depending upon severity of illness',title_x=0.5,template='plotly_dark')\n",
"fig6.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"papermill": {
"duration": 1.816077,
"end_time": "2020-11-12T17:50:56.724535",
"exception": false,
"start_time": "2020-11-12T17:50:54.908458",
"status": "completed"
},
"tags": []
},
"source": [
"L'entonnoir ci-dessus nous montre que la plupart des cas sont de nature modérée, puis mineurs et enfin extrêmes.\n",
"\n",
"\n",
"## Âge contre gravité de la maladie\n",
"\n",
"Vérifions s'il existe un lien entre l'âge et la gravité de la maladie"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"execution": {
"iopub.execute_input": "2020-11-12T17:51:00.364080Z",
"iopub.status.busy": "2020-11-12T17:51:00.362962Z",
"iopub.status.idle": "2020-11-12T17:51:06.997156Z",
"shell.execute_reply": "2020-11-12T17:51:06.997800Z"
},
"papermill": {
"duration": 8.471335,
"end_time": "2020-11-12T17:51:06.997967",
"exception": false,
"start_time": "2020-11-12T17:50:58.526632",
"status": "completed"
},
"tags": []
},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"branchvalues": "total",
"domain": {
"x": [
0,
1
],
"y": [
0,
1
]
},
"hovertemplate": "labels=%{label}
count=%{value}
parent=%{parent}
id=%{id}",
"ids": [
"0-10/Extreme",
"11-20/Extreme",
"21-30/Extreme",
"31-40/Extreme",
"41-50/Extreme",
"51-60/Extreme",
"61-70/Extreme",
"71-80/Extreme",
"81-90/Extreme",
"91-100/Extreme",
"0-10/Minor",
"11-20/Minor",
"21-30/Minor",
"31-40/Minor",
"41-50/Minor",
"51-60/Minor",
"61-70/Minor",
"71-80/Minor",
"81-90/Minor",
"91-100/Minor",
"0-10/Moderate",
"11-20/Moderate",
"21-30/Moderate",
"31-40/Moderate",
"41-50/Moderate",
"51-60/Moderate",
"61-70/Moderate",
"71-80/Moderate",
"81-90/Moderate",
"91-100/Moderate",
"0-10",
"11-20",
"21-30",
"31-40",
"41-50",
"51-60",
"61-70",
"71-80",
"81-90",
"91-100"
],
"labels": [
"Extreme",
"Extreme",
"Extreme",
"Extreme",
"Extreme",
"Extreme",
"Extreme",
"Extreme",
"Extreme",
"Extreme",
"Minor",
"Minor",
"Minor",
"Minor",
"Minor",
"Minor",
"Minor",
"Minor",
"Minor",
"Minor",
"Moderate",
"Moderate",
"Moderate",
"Moderate",
"Moderate",
"Moderate",
"Moderate",
"Moderate",
"Moderate",
"Moderate",
"0-10",
"11-20",
"21-30",
"31-40",
"41-50",
"51-60",
"61-70",
"71-80",
"81-90",
"91-100"
],
"name": "",
"parents": [
"0-10",
"11-20",
"21-30",
"31-40",
"41-50",
"51-60",
"61-70",
"71-80",
"81-90",
"91-100",
"0-10",
"11-20",
"21-30",
"31-40",
"41-50",
"51-60",
"61-70",
"71-80",
"81-90",
"91-100",
"0-10",
"11-20",
"21-30",
"31-40",
"41-50",
"51-60",
"61-70",
"71-80",
"81-90",
"91-100",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
],
"type": "sunburst",
"values": [
658,
1358,
4237,
10219,
13393,
10467,
7215,
7038,
1842,
296,
2530,
8027,
15406,
16462,
12933,
10513,
8199,
9686,
1840,
276,
3066,
7383,
21200,
36958,
37423,
27534,
18273,
19068,
4208,
730,
6254,
16768,
40843,
63639,
63749,
48514,
33687,
35792,
7890,
1302
]
}
],
"layout": {
"legend": {
"tracegroupgap": 0
},
"margin": {
"t": 60
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Age (in years) and Severity of Illness",
"x": 0.5
}
}
},
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig7=px.sunburst(df,path=['Age','Severity of Illness'])\n",
"fig7.update_layout(title='Age (in years) and Severity of Illness',title_x=0.5)\n",
"fig7.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"papermill": {
"duration": 1.786285,
"end_time": "2020-11-12T17:51:10.611637",
"exception": false,
"start_time": "2020-11-12T17:51:08.825352",
"status": "completed"
},
"tags": []
},
"source": [
"Comme nous pouvons le voir sur le graphique des rayons du soleil ci-dessus, les cas extrêmes sont moins nombreux pour chaque groupe d'âge. Cependant, les cas extrêmes par rapport aux cas modérés et mineurs semblent augmenter avec les groupes d'âge plus élevés.\n",
"\n",
"\n",
"## Gravité de la maladie contre séjour\n",
"\n",
"Voyons comment la gravité de la maladie et la durée du séjour évoluent.\n"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"_kg_hide-input": true,
"execution": {
"iopub.execute_input": "2020-11-12T17:51:14.271137Z",
"iopub.status.busy": "2020-11-12T17:51:14.269925Z",
"iopub.status.idle": "2020-11-12T17:51:21.127909Z",
"shell.execute_reply": "2020-11-12T17:51:21.128548Z"
},
"papermill": {
"duration": 8.729012,
"end_time": "2020-11-12T17:51:21.128732",
"exception": false,
"start_time": "2020-11-12T17:51:12.399720",
"status": "completed"
},
"tags": []
},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"branchvalues": "total",
"domain": {
"x": [
0,
1
],
"y": [
0,
1
]
},
"hovertemplate": "labels=%{label}
count=%{value}
parent=%{parent}
id=%{id}",
"ids": [
"0-10/Extreme",
"11-20/Extreme",
"21-30/Extreme",
"31-40/Extreme",
"41-50/Extreme",
"51-60/Extreme",
"61-70/Extreme",
"71-80/Extreme",
"81-90/Extreme",
"91-100/Extreme",
"More than 100 Days/Extreme",
"0-10/Minor",
"11-20/Minor",
"21-30/Minor",
"31-40/Minor",
"41-50/Minor",
"51-60/Minor",
"61-70/Minor",
"71-80/Minor",
"81-90/Minor",
"91-100/Minor",
"More than 100 Days/Minor",
"0-10/Moderate",
"11-20/Moderate",
"21-30/Moderate",
"31-40/Moderate",
"41-50/Moderate",
"51-60/Moderate",
"61-70/Moderate",
"71-80/Moderate",
"81-90/Moderate",
"91-100/Moderate",
"More than 100 Days/Moderate",
"0-10",
"11-20",
"21-30",
"31-40",
"41-50",
"51-60",
"61-70",
"71-80",
"81-90",
"91-100",
"More than 100 Days"
],
"labels": [
"Extreme",
"Extreme",
"Extreme",
"Extreme",
"Extreme",
"Extreme",
"Extreme",
"Extreme",
"Extreme",
"Extreme",
"Extreme",
"Minor",
"Minor",
"Minor",
"Minor",
"Minor",
"Minor",
"Minor",
"Minor",
"Minor",
"Minor",
"Minor",
"Moderate",
"Moderate",
"Moderate",
"Moderate",
"Moderate",
"Moderate",
"Moderate",
"Moderate",
"Moderate",
"Moderate",
"Moderate",
"0-10",
"11-20",
"21-30",
"31-40",
"41-50",
"51-60",
"61-70",
"71-80",
"81-90",
"91-100",
"More than 100 Days"
],
"name": "",
"parents": [
"0-10",
"11-20",
"21-30",
"31-40",
"41-50",
"51-60",
"61-70",
"71-80",
"81-90",
"91-100",
"More than 100 Days",
"0-10",
"11-20",
"21-30",
"31-40",
"41-50",
"51-60",
"61-70",
"71-80",
"81-90",
"91-100",
"More than 100 Days",
"0-10",
"11-20",
"21-30",
"31-40",
"41-50",
"51-60",
"61-70",
"71-80",
"81-90",
"91-100",
"More than 100 Days",
"",
"",
"",
"",
"",
"",
"",
"",
"",
"",
""
],
"type": "sunburst",
"values": [
3399,
10518,
15502,
10086,
2351,
7777,
647,
2575,
1113,
805,
1950,
7866,
27081,
21535,
14447,
3000,
7128,
519,
1928,
985,
425,
958,
12339,
40540,
50454,
30626,
6392,
20113,
1578,
5751,
2740,
1535,
3775,
23604,
78139,
87491,
55159,
11743,
35018,
2744,
10254,
4838,
2765,
6683
]
}
],
"layout": {
"legend": {
"tracegroupgap": 0
},
"margin": {
"t": 60
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Stay period (in days) vs Severity of illness",
"x": 0.5
}
}
},
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig8=px.sunburst(df,path=['Stay','Severity of Illness'])\n",
"fig8.update_layout(title='Stay period (in days) vs Severity of illness',title_x=0.5)\n",
"fig8.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"papermill": {
"duration": 1.79562,
"end_time": "2020-11-12T17:51:24.727094",
"exception": false,
"start_time": "2020-11-12T17:51:22.931474",
"status": "completed"
},
"tags": []
},
"source": [
"Le graphique ci-dessus montre qu'en général, pour les séjours de courte durée (jusqu'à 20 jours), la gravité de la maladie est mineure ou modérée. Pour des séjours plus longs, les cas d'extrême gravité commencent à augmenter.\n",
"\n",
"Les durées de séjour les plus courantes dans les hôpitaux sont de 21 à 30 jours et de 11 à 20 jours.\n",
"\n",
"\n",
"# 3. Discussion sur la qualité des données\n",
"\n",
"Comme on peut le voir, nous disposons de nombreuses données. Certaines de ces données nous fournissent des informations utiles tandis que d'autres ne le font pas. Une partie des données n'est pas numérique et, à cette fin, nous devons travailler avec les données pour les coder en les étiquettant autrement (transformation de variables). "
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"execution": {
"iopub.execute_input": "2020-11-12T17:51:28.380519Z",
"iopub.status.busy": "2020-11-12T17:51:28.379511Z",
"iopub.status.idle": "2020-11-12T17:51:28.385021Z",
"shell.execute_reply": "2020-11-12T17:51:28.384388Z"
},
"papermill": {
"duration": 1.83417,
"end_time": "2020-11-12T17:51:28.385179",
"exception": false,
"start_time": "2020-11-12T17:51:26.551009",
"status": "completed"
},
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" case_id | \n",
" Hospital_code | \n",
" Hospital_type_code | \n",
" City_Code_Hospital | \n",
" Hospital_region_code | \n",
" Available Extra Rooms in Hospital | \n",
" Department | \n",
" Ward_Type | \n",
" Ward_Facility_Code | \n",
" Bed Grade | \n",
" patientid | \n",
" City_Code_Patient | \n",
" Type of Admission | \n",
" Severity of Illness | \n",
" Visitors with Patient | \n",
" Age | \n",
" Admission_Deposit | \n",
" Stay | \n",
" Count | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 1 | \n",
" 8 | \n",
" c | \n",
" 3 | \n",
" Z | \n",
" 3 | \n",
" radiotherapy | \n",
" R | \n",
" F | \n",
" 2.0 | \n",
" 31397 | \n",
" 7.0 | \n",
" Emergency | \n",
" Extreme | \n",
" 2 | \n",
" 51-60 | \n",
" 4911.0 | \n",
" 0-10 | \n",
" 1 | \n",
"
\n",
" \n",
" 1 | \n",
" 2 | \n",
" 2 | \n",
" c | \n",
" 5 | \n",
" Z | \n",
" 2 | \n",
" radiotherapy | \n",
" S | \n",
" F | \n",
" 2.0 | \n",
" 31397 | \n",
" 7.0 | \n",
" Trauma | \n",
" Extreme | \n",
" 2 | \n",
" 51-60 | \n",
" 5954.0 | \n",
" 41-50 | \n",
" 1 | \n",
"
\n",
" \n",
" 2 | \n",
" 3 | \n",
" 10 | \n",
" e | \n",
" 1 | \n",
" X | \n",
" 2 | \n",
" anesthesia | \n",
" S | \n",
" E | \n",
" 2.0 | \n",
" 31397 | \n",
" 7.0 | \n",
" Trauma | \n",
" Extreme | \n",
" 2 | \n",
" 51-60 | \n",
" 4745.0 | \n",
" 31-40 | \n",
" 1 | \n",
"
\n",
" \n",
" 3 | \n",
" 4 | \n",
" 26 | \n",
" b | \n",
" 2 | \n",
" Y | \n",
" 2 | \n",
" radiotherapy | \n",
" R | \n",
" D | \n",
" 2.0 | \n",
" 31397 | \n",
" 7.0 | \n",
" Trauma | \n",
" Extreme | \n",
" 2 | \n",
" 51-60 | \n",
" 7272.0 | \n",
" 41-50 | \n",
" 1 | \n",
"
\n",
" \n",
" 4 | \n",
" 5 | \n",
" 26 | \n",
" b | \n",
" 2 | \n",
" Y | \n",
" 2 | \n",
" radiotherapy | \n",
" S | \n",
" D | \n",
" 2.0 | \n",
" 31397 | \n",
" 7.0 | \n",
" Trauma | \n",
" Extreme | \n",
" 2 | \n",
" 51-60 | \n",
" 5558.0 | \n",
" 41-50 | \n",
" 1 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" case_id Hospital_code Hospital_type_code City_Code_Hospital \\\n",
"0 1 8 c 3 \n",
"1 2 2 c 5 \n",
"2 3 10 e 1 \n",
"3 4 26 b 2 \n",
"4 5 26 b 2 \n",
"\n",
" Hospital_region_code Available Extra Rooms in Hospital Department \\\n",
"0 Z 3 radiotherapy \n",
"1 Z 2 radiotherapy \n",
"2 X 2 anesthesia \n",
"3 Y 2 radiotherapy \n",
"4 Y 2 radiotherapy \n",
"\n",
" Ward_Type Ward_Facility_Code Bed Grade patientid City_Code_Patient \\\n",
"0 R F 2.0 31397 7.0 \n",
"1 S F 2.0 31397 7.0 \n",
"2 S E 2.0 31397 7.0 \n",
"3 R D 2.0 31397 7.0 \n",
"4 S D 2.0 31397 7.0 \n",
"\n",
" Type of Admission Severity of Illness Visitors with Patient Age \\\n",
"0 Emergency Extreme 2 51-60 \n",
"1 Trauma Extreme 2 51-60 \n",
"2 Trauma Extreme 2 51-60 \n",
"3 Trauma Extreme 2 51-60 \n",
"4 Trauma Extreme 2 51-60 \n",
"\n",
" Admission_Deposit Stay Count \n",
"0 4911.0 0-10 1 \n",
"1 5954.0 41-50 1 \n",
"2 4745.0 31-40 1 \n",
"3 7272.0 41-50 1 \n",
"4 5558.0 41-50 1 "
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"execution": {
"iopub.execute_input": "2020-11-12T17:51:32.002952Z",
"iopub.status.busy": "2020-11-12T17:51:32.002149Z",
"iopub.status.idle": "2020-11-12T17:51:32.078904Z",
"shell.execute_reply": "2020-11-12T17:51:32.078059Z"
},
"papermill": {
"duration": 1.88606,
"end_time": "2020-11-12T17:51:32.079048",
"exception": false,
"start_time": "2020-11-12T17:51:30.192988",
"status": "completed"
},
"tags": []
},
"outputs": [],
"source": [
"from sklearn.preprocessing import LabelEncoder"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"execution": {
"iopub.execute_input": "2020-11-12T17:51:35.842659Z",
"iopub.status.busy": "2020-11-12T17:51:35.746429Z",
"iopub.status.idle": "2020-11-12T17:51:35.847622Z",
"shell.execute_reply": "2020-11-12T17:51:35.846974Z"
},
"papermill": {
"duration": 1.929826,
"end_time": "2020-11-12T17:51:35.847764",
"exception": false,
"start_time": "2020-11-12T17:51:33.917938",
"status": "completed"
},
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0 2\n",
"1 2\n",
"2 4\n",
"3 1\n",
"4 1\n",
" ..\n",
"318433 0\n",
"318434 0\n",
"318435 0\n",
"318436 1\n",
"318437 0\n",
"Name: Hospital_type_code_cat, Length: 318438, dtype: int64\n"
]
},
{
"data": {
"text/plain": [
"0 c\n",
"1 c\n",
"2 e\n",
"3 b\n",
"4 b\n",
" ..\n",
"318433 a\n",
"318434 a\n",
"318435 a\n",
"318436 b\n",
"318437 a\n",
"Name: Hospital_type_code, Length: 318438, dtype: object"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"le=LabelEncoder()\n",
"df['Hospital_type_code_cat']=le.fit_transform(df['Hospital_type_code'])\n",
"print(df['Hospital_type_code_cat'])\n",
"df['Hospital_type_code'] #nominal to discrete"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"execution": {
"iopub.execute_input": "2020-11-12T17:51:39.546580Z",
"iopub.status.busy": "2020-11-12T17:51:39.545701Z",
"iopub.status.idle": "2020-11-12T17:51:40.023070Z",
"shell.execute_reply": "2020-11-12T17:51:40.022368Z"
},
"papermill": {
"duration": 2.33641,
"end_time": "2020-11-12T17:51:40.023201",
"exception": false,
"start_time": "2020-11-12T17:51:37.686791",
"status": "completed"
},
"tags": []
},
"outputs": [],
"source": [
"df_reg_codes=pd.get_dummies(df['Hospital_region_code'])\n",
"\n",
"df=pd.merge(df,df_reg_codes,on=df.index)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"execution": {
"iopub.execute_input": "2020-11-12T17:51:43.729993Z",
"iopub.status.busy": "2020-11-12T17:51:43.729158Z",
"iopub.status.idle": "2020-11-12T17:51:43.866910Z",
"shell.execute_reply": "2020-11-12T17:51:43.866082Z"
},
"papermill": {
"duration": 1.981194,
"end_time": "2020-11-12T17:51:43.867056",
"exception": false,
"start_time": "2020-11-12T17:51:41.885862",
"status": "completed"
},
"tags": []
},
"outputs": [],
"source": [
"df.drop('key_0',axis=1,inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"execution": {
"iopub.execute_input": "2020-11-12T17:51:47.591898Z",
"iopub.status.busy": "2020-11-12T17:51:47.591116Z",
"iopub.status.idle": "2020-11-12T17:51:48.196320Z",
"shell.execute_reply": "2020-11-12T17:51:48.195529Z"
},
"papermill": {
"duration": 2.486622,
"end_time": "2020-11-12T17:51:48.196457",
"exception": false,
"start_time": "2020-11-12T17:51:45.709835",
"status": "completed"
},
"tags": []
},
"outputs": [],
"source": [
"df_dept=pd.get_dummies(df['Department'])\n",
"df=pd.merge(df,df_dept,on=df.index)\n",
"df.drop('key_0',axis=1,inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"execution": {
"iopub.execute_input": "2020-11-12T17:51:52.019328Z",
"iopub.status.busy": "2020-11-12T17:51:51.926101Z",
"iopub.status.idle": "2020-11-12T17:51:52.139092Z",
"shell.execute_reply": "2020-11-12T17:51:52.138052Z"
},
"papermill": {
"duration": 2.117858,
"end_time": "2020-11-12T17:51:52.139275",
"exception": false,
"start_time": "2020-11-12T17:51:50.021417",
"status": "completed"
},
"tags": []
},
"outputs": [],
"source": [
"df['Ward_Type_cat']=le.fit_transform(df['Ward_Type'])\n",
"df['Ward_Facility_Code_cat']=le.fit_transform(df['Ward_Facility_Code'])"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"execution": {
"iopub.execute_input": "2020-11-12T17:51:55.744768Z",
"iopub.status.busy": "2020-11-12T17:51:55.743973Z",
"iopub.status.idle": "2020-11-12T17:51:56.979048Z",
"shell.execute_reply": "2020-11-12T17:51:56.978101Z"
},
"papermill": {
"duration": 3.04004,
"end_time": "2020-11-12T17:51:56.979216",
"exception": false,
"start_time": "2020-11-12T17:51:53.939176",
"status": "completed"
},
"tags": []
},
"outputs": [],
"source": [
"df_adm=pd.get_dummies(df['Type of Admission'])\n",
"df=pd.merge(df,df_adm,on=df.index)\n",
"df.drop('key_0',axis=1,inplace=True)\n",
"df_sev_ill=pd.get_dummies(df['Severity of Illness'])\n",
"df=pd.merge(df,df_sev_ill,on=df.index)\n",
"df.drop('key_0',axis=1,inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"execution": {
"iopub.execute_input": "2020-11-12T17:52:00.778665Z",
"iopub.status.busy": "2020-11-12T17:52:00.695241Z",
"iopub.status.idle": "2020-11-12T17:52:00.903737Z",
"shell.execute_reply": "2020-11-12T17:52:00.903038Z"
},
"papermill": {
"duration": 2.046466,
"end_time": "2020-11-12T17:52:00.903869",
"exception": false,
"start_time": "2020-11-12T17:51:58.857403",
"status": "completed"
},
"tags": []
},
"outputs": [],
"source": [
"df['Age_cat']=le.fit_transform(df['Age'])\n",
"df['Stay_cat']=le.fit_transform(df['Stay'])"
]
},
{
"cell_type": "markdown",
"metadata": {
"papermill": {
"duration": 1.842342,
"end_time": "2020-11-12T17:52:04.585017",
"exception": false,
"start_time": "2020-11-12T17:52:02.742675",
"status": "completed"
},
"tags": []
},
"source": [
"Maintenant que nous avons soit codé l'étiquette, soit codé en une seule fois toutes les données, supprimons les colonnes catégorielles précédentes de la trame de données."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"execution": {
"iopub.execute_input": "2020-11-12T17:52:08.201923Z",
"iopub.status.busy": "2020-11-12T17:52:08.201132Z",
"iopub.status.idle": "2020-11-12T17:52:08.226974Z",
"shell.execute_reply": "2020-11-12T17:52:08.226330Z"
},
"papermill": {
"duration": 1.827378,
"end_time": "2020-11-12T17:52:08.227117",
"exception": false,
"start_time": "2020-11-12T17:52:06.399739",
"status": "completed"
},
"tags": []
},
"outputs": [],
"source": [
"df_train=df.copy()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"execution": {
"iopub.execute_input": "2020-11-12T17:52:11.833984Z",
"iopub.status.busy": "2020-11-12T17:52:11.832167Z",
"iopub.status.idle": "2020-11-12T17:52:12.198819Z",
"shell.execute_reply": "2020-11-12T17:52:12.198191Z"
},
"papermill": {
"duration": 2.167272,
"end_time": "2020-11-12T17:52:12.198953",
"exception": false,
"start_time": "2020-11-12T17:52:10.031681",
"status": "completed"
},
"tags": []
},
"outputs": [],
"source": [
"unn_cols=['case_id','Hospital_type_code','Hospital_region_code','Department','Ward_Type',\n",
" 'Ward_Facility_Code','Type of Admission','Severity of Illness','Age','Stay',\n",
" 'Count','Admission_Deposit','Bed Grade','City_Code_Patient']\n",
"\n",
"for cols in unn_cols:\n",
" df_train.drop(cols,axis=1,inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"execution": {
"iopub.execute_input": "2020-11-12T17:52:15.900373Z",
"iopub.status.busy": "2020-11-12T17:52:15.899562Z",
"iopub.status.idle": "2020-11-12T17:52:15.927323Z",
"shell.execute_reply": "2020-11-12T17:52:15.928042Z"
},
"papermill": {
"duration": 1.886839,
"end_time": "2020-11-12T17:52:15.928222",
"exception": false,
"start_time": "2020-11-12T17:52:14.041383",
"status": "completed"
},
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"Int64Index: 318438 entries, 0 to 318437\n",
"Data columns (total 24 columns):\n",
" # Column Non-Null Count Dtype\n",
"--- ------ -------------- -----\n",
" 0 Hospital_code 318438 non-null int64\n",
" 1 City_Code_Hospital 318438 non-null int64\n",
" 2 Available Extra Rooms in Hospital 318438 non-null int64\n",
" 3 patientid 318438 non-null int64\n",
" 4 Visitors with Patient 318438 non-null int64\n",
" 5 Hospital_type_code_cat 318438 non-null int64\n",
" 6 X 318438 non-null uint8\n",
" 7 Y 318438 non-null uint8\n",
" 8 Z 318438 non-null uint8\n",
" 9 TB & Chest disease 318438 non-null uint8\n",
" 10 anesthesia 318438 non-null uint8\n",
" 11 gynecology 318438 non-null uint8\n",
" 12 radiotherapy 318438 non-null uint8\n",
" 13 surgery 318438 non-null uint8\n",
" 14 Ward_Type_cat 318438 non-null int64\n",
" 15 Ward_Facility_Code_cat 318438 non-null int64\n",
" 16 Emergency 318438 non-null uint8\n",
" 17 Trauma 318438 non-null uint8\n",
" 18 Urgent 318438 non-null uint8\n",
" 19 Extreme 318438 non-null uint8\n",
" 20 Minor 318438 non-null uint8\n",
" 21 Moderate 318438 non-null uint8\n",
" 22 Age_cat 318438 non-null int64\n",
" 23 Stay_cat 318438 non-null int64\n",
"dtypes: int64(10), uint8(14)\n",
"memory usage: 31.0 MB\n"
]
}
],
"source": [
"df_train.info()"
]
},
{
"cell_type": "markdown",
"metadata": {
"papermill": {
"duration": 1.803115,
"end_time": "2020-11-12T17:52:19.532423",
"exception": false,
"start_time": "2020-11-12T17:52:17.729308",
"status": "completed"
},
"tags": []
},
"source": [
"Comme nous pouvons le voir, toutes les données disponibles sont maintenant sous forme numérique et peuvent donc être utilisées pour les algorithmes ML. Vérifions la corrélation de chaque élément entre eux grâce à une carte thermique."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"_kg_hide-input": true,
"execution": {
"iopub.execute_input": "2020-11-12T17:52:23.185512Z",
"iopub.status.busy": "2020-11-12T17:52:23.184666Z",
"iopub.status.idle": "2020-11-12T17:52:26.082753Z",
"shell.execute_reply": "2020-11-12T17:52:26.083367Z"
},
"papermill": {
"duration": 4.717371,
"end_time": "2020-11-12T17:52:26.083532",
"exception": false,
"start_time": "2020-11-12T17:52:21.366161",
"status": "completed"
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"