{
"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",
"![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": 46,
"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",
"\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": 47,
"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": [],
"source": [
"#charger et lire les données\n",
"chemin = 'Ifrisse_td1_covid19.csv'\n",
"#Vous pouvez verifier le chemin courant en utilisant os.getcwd()\n",
"df = pd.read_csv(chemin)\n",
"###########\n",
"\n",
"#inspecter les 1ère lignes des données\n",
"#df.head()\n",
"\n",
"\n",
"#df = df[:100]\n",
"#df"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"7\n",
">> \n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"[, , , , , , ]\n"
]
},
{
"data": {
"text/plain": [
"array([2, 3, 4, 5, 7])"
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"a = [2,'b',3.5, [1,2,3],'KI', 'cours sd', (3,7,8)]\n",
"\n",
"etudiant1 = a[4]\n",
"etudiant1\n",
"# remplacer KY par Diallo\n",
"a[4] = 'diallo'\n",
"print(len(a))\n",
"tupl_a = tuple(a)\n",
"print(\">>\",type(tupl_a))\n",
"\n",
"####### donner le type de chaque element de la liste a\n",
"for x in a:\n",
" print(type(x))\n",
" \n",
"var = [type(x) for x in a]\n",
"print(var)\n",
" \n",
"##### \n",
"\n",
"list = [2,3,2,4,5,7]\n",
"np.unique(list)"
]
},
{
"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": 49,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"RangeIndex: 318438 entries, 0 to 318437\n",
"Data columns (total 18 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",
"dtypes: float64(3), int64(6), object(9)\n",
"memory usage: 43.7+ MB\n"
]
}
],
"source": [
"# consulter les informations sur les données\n",
"df.info()"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [],
"source": [
"# types de variables en python ?\n"
]
},
{
"cell_type": "code",
"execution_count": 51,
"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": 51,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Analyse descriptive sur les données types \"objet\"\n",
"df.describe(include=['object'])"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(318438, 18)"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Analyse descriptive sur les données types \"numeric\"\n",
"df.describe(include=['number'])\n",
"df.shape"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"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",
"
\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",
"
\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",
"
\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",
"
\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",
"
\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",
"
\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 \n",
"0 4911.0 0-10 \n",
"1 5954.0 41-50 \n",
"2 4745.0 31-40 \n",
"3 7272.0 41-50 \n",
"4 5558.0 41-50 "
]
},
"execution_count": 53,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# verifier les dimensions des données\n",
"df.shape\n",
"df.head()\n",
"df_type = df.rename(columns={'C_id':'Hospital_type_code'})\n",
"df_type[:5]\n"
]
},
{
"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": 54,
"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": [
"(318438, 18)"
]
},
"execution_count": 54,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# verifier les valeurs manquantes\n",
"sns.heatmap(df.isna(),cmap='gnuplot')\n",
"\n",
"df.shape"
]
},
{
"cell_type": "code",
"execution_count": 55,
"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": [
"(318438, 18)"
]
},
"execution_count": 55,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.isna().any()\n",
"df.shape"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(18, 1)"
]
},
"execution_count": 56,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# identier les types des variables de chaque colonne\n",
"df_type = pd.DataFrame(df.dtypes)\n",
"df_type.shape"
]
},
{
"cell_type": "code",
"execution_count": 57,
"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",
"Name: MissingVal, dtype: int64"
]
},
"execution_count": 57,
"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": 58,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" 0 | \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",
"
\n",
"
"
],
"text/plain": [
" 0 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"
]
},
"execution_count": 58,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# rename the 0 column\n",
"df_type = df_type.rename(columns={'MsV':'new_col'})\n",
"df_type"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"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",
"
\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",
"
\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",
"
\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",
"
\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",
"
\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",
"
\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 \n",
"0 4911.0 0-10 \n",
"1 5954.0 41-50 \n",
"2 4745.0 31-40 \n",
"3 7272.0 41-50 \n",
"4 5558.0 41-50 "
]
},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#afficher les N 1ere lignes\n",
"df[:5]"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"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": 60,
"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['Count'] = 1\n",
"#print(df[:2].shape)\n",
"df_hos_code = df.groupby('Hospital_type_code')['Count'].sum().reset_index().sort_values(by='Count',ascending=False)\n",
"#df"
]
},
{
"cell_type": "code",
"execution_count": 61,
"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 fréquentation plus élevée par rapport aux autres codes d'hôpitaux. L'hôpital de type **G** a la fréquentation 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": 62,
"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 fréquentation 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 fréquentation la plus élevée, tandis qu'elle est plus équilibrée entre a et b dans la région Y. Pour la région Z, les fréquentations 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 l'occupation des lits. Voyons comment les chambres supplémentaires sont réparties entre les différents hôpitaux."
]
},
{
"cell_type": "code",
"execution_count": 63,
"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": [
"