Taller 8 - Modelado de Temas_Villate_Angela.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src='https://encrypted-tbn0.gstatic.com/images?q=tbn%3AANd9GcQ-VfNtOyJbsaxu43Kztf_cv1mgBG6ZIQZEVw&usqp=CAU'>\n",
    "\n",
    "# Procesamiento de Lenguage Natural\n",
    "\n",
    "## Taller #8: Modelado de temas\n",
    "`Fecha de entrega: 🎃 Octubre 31, 2020. (Antes del inicio de la próxima clase).`\n",
    "\n",
    "`Modo de entrega: Subir link de GitHub al aula virtual.`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "import re\n",
    "import pandas as pd \n",
    "from pprint import pprint\n",
    "\n",
    "from nltk.corpus import stopwords\n",
    "stopwords = stopwords.words('spanish')\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.feature_extraction.text import TfidfVectorizer\n",
    "\n",
    "from nltk.stem.snowball import SnowballStemmer\n",
    "spanishStemmer=SnowballStemmer(\"spanish\")\n",
    "\n",
    "import pyLDAvis.gensim\n",
    "from gensim.models import LdaModel\n",
    "from gensim.corpora import Dictionary\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\", category=DeprecationWarning)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tenemos 1,000 documentos\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "'Buen. Buena calidad, y buena presentación.'"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Cargar datos\n",
    "path = 'reviews_vidjew_es.csv'\n",
    "data = pd.read_csv(path)\n",
    "print(f\"Tenemos {data.shape[0]:,d} documentos\") #esto se hace por buena práctica, saber cuántos documentos tenemos\n",
    "data['review_body'][0] #esto lo hacemos para que nos muestre un texto\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>review_id</th>\n",
       "      <th>product_id</th>\n",
       "      <th>reviewer_id</th>\n",
       "      <th>stars</th>\n",
       "      <th>review_body</th>\n",
       "      <th>review_title</th>\n",
       "      <th>language</th>\n",
       "      <th>product_category</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>es_0825565</td>\n",
       "      <td>product_es_0370490</td>\n",
       "      <td>reviewer_es_0174781</td>\n",
       "      <td>3</td>\n",
       "      <td>Buen. Buena calidad, y buena presentación.</td>\n",
       "      <td>Contenta</td>\n",
       "      <td>es</td>\n",
       "      <td>jewelry</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>es_0227934</td>\n",
       "      <td>product_es_0354224</td>\n",
       "      <td>reviewer_es_0411613</td>\n",
       "      <td>3</td>\n",
       "      <td>Un producto a perfecto, para salir de casa con...</td>\n",
       "      <td>Versatilidad</td>\n",
       "      <td>es</td>\n",
       "      <td>video_games</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>es_0468601</td>\n",
       "      <td>product_es_0665460</td>\n",
       "      <td>reviewer_es_0348315</td>\n",
       "      <td>1</td>\n",
       "      <td>No funciona con Nintendo Switch. No hay forma ...</td>\n",
       "      <td>Decepción absoluta</td>\n",
       "      <td>es</td>\n",
       "      <td>video_games</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>es_0814494</td>\n",
       "      <td>product_es_0692692</td>\n",
       "      <td>reviewer_es_0951508</td>\n",
       "      <td>5</td>\n",
       "      <td>Recomendado, los utilizo para pc y no me dan n...</td>\n",
       "      <td>Auriculares Pecham ps4</td>\n",
       "      <td>es</td>\n",
       "      <td>video_games</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>es_0206329</td>\n",
       "      <td>product_es_0728826</td>\n",
       "      <td>reviewer_es_0493255</td>\n",
       "      <td>4</td>\n",
       "      <td>El cable funciona bien podria ser un poco mas ...</td>\n",
       "      <td>Perfecto</td>\n",
       "      <td>es</td>\n",
       "      <td>video_games</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    review_id          product_id          reviewer_id  stars  \\\n",
       "0  es_0825565  product_es_0370490  reviewer_es_0174781      3   \n",
       "1  es_0227934  product_es_0354224  reviewer_es_0411613      3   \n",
       "2  es_0468601  product_es_0665460  reviewer_es_0348315      1   \n",
       "3  es_0814494  product_es_0692692  reviewer_es_0951508      5   \n",
       "4  es_0206329  product_es_0728826  reviewer_es_0493255      4   \n",
       "\n",
       "                                         review_body            review_title  \\\n",
       "0         Buen. Buena calidad, y buena presentación.                Contenta   \n",
       "1  Un producto a perfecto, para salir de casa con...            Versatilidad   \n",
       "2  No funciona con Nintendo Switch. No hay forma ...      Decepción absoluta   \n",
       "3  Recomendado, los utilizo para pc y no me dan n...  Auriculares Pecham ps4   \n",
       "4  El cable funciona bien podria ser un poco mas ...                Perfecto   \n",
       "\n",
       "  language product_category  \n",
       "0       es          jewelry  \n",
       "1       es      video_games  \n",
       "2       es      video_games  \n",
       "3       es      video_games  \n",
       "4       es      video_games  "
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head() #aquí visualizamos el archivo"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###  `[12 pts]` Punto 1: Hacer pre-procesamiento del texto"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>review_id</th>\n",
       "      <th>product_id</th>\n",
       "      <th>reviewer_id</th>\n",
       "      <th>stars</th>\n",
       "      <th>review_body</th>\n",
       "      <th>review_title</th>\n",
       "      <th>language</th>\n",
       "      <th>product_category</th>\n",
       "      <th>preprocesado</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>es_0825565</td>\n",
       "      <td>product_es_0370490</td>\n",
       "      <td>reviewer_es_0174781</td>\n",
       "      <td>3</td>\n",
       "      <td>Buen. Buena calidad, y buena presentación.</td>\n",
       "      <td>Contenta</td>\n",
       "      <td>es</td>\n",
       "      <td>jewelry</td>\n",
       "      <td>[buen, buena, calidad, buena, presentación]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>es_0227934</td>\n",
       "      <td>product_es_0354224</td>\n",
       "      <td>reviewer_es_0411613</td>\n",
       "      <td>3</td>\n",
       "      <td>Un producto a perfecto, para salir de casa con...</td>\n",
       "      <td>Versatilidad</td>\n",
       "      <td>es</td>\n",
       "      <td>video_games</td>\n",
       "      <td>[producto, perfecto, salir, casa, nintendo, sw...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>es_0468601</td>\n",
       "      <td>product_es_0665460</td>\n",
       "      <td>reviewer_es_0348315</td>\n",
       "      <td>1</td>\n",
       "      <td>No funciona con Nintendo Switch. No hay forma ...</td>\n",
       "      <td>Decepción absoluta</td>\n",
       "      <td>es</td>\n",
       "      <td>video_games</td>\n",
       "      <td>[funciona, nintendo, switch, forma, emparejarl...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>es_0814494</td>\n",
       "      <td>product_es_0692692</td>\n",
       "      <td>reviewer_es_0951508</td>\n",
       "      <td>5</td>\n",
       "      <td>Recomendado, los utilizo para pc y no me dan n...</td>\n",
       "      <td>Auriculares Pecham ps4</td>\n",
       "      <td>es</td>\n",
       "      <td>video_games</td>\n",
       "      <td>[recomendado, utilizo, pc, dan, ningún, proble...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>es_0206329</td>\n",
       "      <td>product_es_0728826</td>\n",
       "      <td>reviewer_es_0493255</td>\n",
       "      <td>4</td>\n",
       "      <td>El cable funciona bien podria ser un poco mas ...</td>\n",
       "      <td>Perfecto</td>\n",
       "      <td>es</td>\n",
       "      <td>video_games</td>\n",
       "      <td>[cable, funciona, bien, podria, ser, mas, larg...</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    review_id          product_id          reviewer_id  stars  \\\n",
       "0  es_0825565  product_es_0370490  reviewer_es_0174781      3   \n",
       "1  es_0227934  product_es_0354224  reviewer_es_0411613      3   \n",
       "2  es_0468601  product_es_0665460  reviewer_es_0348315      1   \n",
       "3  es_0814494  product_es_0692692  reviewer_es_0951508      5   \n",
       "4  es_0206329  product_es_0728826  reviewer_es_0493255      4   \n",
       "\n",
       "                                         review_body            review_title  \\\n",
       "0         Buen. Buena calidad, y buena presentación.                Contenta   \n",
       "1  Un producto a perfecto, para salir de casa con...            Versatilidad   \n",
       "2  No funciona con Nintendo Switch. No hay forma ...      Decepción absoluta   \n",
       "3  Recomendado, los utilizo para pc y no me dan n...  Auriculares Pecham ps4   \n",
       "4  El cable funciona bien podria ser un poco mas ...                Perfecto   \n",
       "\n",
       "  language product_category                                       preprocesado  \n",
       "0       es          jewelry        [buen, buena, calidad, buena, presentación]  \n",
       "1       es      video_games  [producto, perfecto, salir, casa, nintendo, sw...  \n",
       "2       es      video_games  [funciona, nintendo, switch, forma, emparejarl...  \n",
       "3       es      video_games  [recomendado, utilizo, pc, dan, ningún, proble...  \n",
       "4       es      video_games  [cable, funciona, bien, podria, ser, mas, larg...  "
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def pre_procesado(texto):\n",
    "    texto = texto.lower()\n",
    "    texto = re.sub(r\"[\\W\\d_]+\", \" \",texto)\n",
    "    texto = [palabra for palabra in texto.split() if palabra not in stopwords]\n",
    "    return texto\n",
    "\n",
    "data['preprocesado'] = data['review_body'].apply(lambda texto: pre_procesado(texto))\n",
    "\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "En la columna preprocesado vemos el texto en minúscula, sin espacios. En este caso se debe usar en la función del preprocesado, una que permita una lista de palabras y no una cadena de texto, por eso suprimimos el join."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###  `[13 pts]` Punto 2: Modelo de LDA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<gensim.corpora.dictionary.Dictionary at 0x21751420988>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#diccionario\n",
    "dictionary = Dictionary(data['preprocesado'].values)\n",
    "dictionary\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
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       "  (170, 1),\n",
       "  (171, 1)],\n",
       " [(27, 1),\n",
       "  (30, 1),\n",
       "  (33, 1),\n",
       "  (40, 1),\n",
       "  (74, 1),\n",
       "  (86, 1),\n",
       "  (124, 1),\n",
       "  (172, 1),\n",
       "  (173, 1),\n",
       "  (174, 1)],\n",
       " [(51, 1), (73, 1), (101, 1), (175, 1), (176, 1), (177, 1), (178, 1)],\n",
       " [(27, 1),\n",
       "  (51, 1),\n",
       "  (54, 1),\n",
       "  (84, 1),\n",
       "  (101, 1),\n",
       "  (125, 1),\n",
       "  (135, 1),\n",
       "  (144, 1),\n",
       "  (179, 1),\n",
       "  (180, 1),\n",
       "  (181, 1),\n",
       "  (182, 1),\n",
       "  (183, 1),\n",
       "  (184, 1)],\n",
       " [(75, 1), (108, 1), (152, 1), (185, 1), (186, 1)],\n",
       " [(11, 1), (41, 1), (56, 1), (178, 1), (187, 1), (188, 1), (189, 1), (190, 1)],\n",
       " [(154, 1), (191, 1), (192, 1), (193, 1), (194, 1)],\n",
       " [(2, 1), (73, 1), (195, 1)],\n",
       " [(0, 1), (23, 2), (31, 1), (121, 1), (196, 1), (197, 1), (198, 1)],\n",
       " [(13, 2), (194, 1), (199, 1)],\n",
       " [(199, 1), (200, 1), (201, 1)],\n",
       " [(7, 1), (27, 1), (83, 1), (202, 1), (203, 1), (204, 1)],\n",
       " [(7, 1),\n",
       "  (40, 1),\n",
       "  (46, 1),\n",
       "  (65, 1),\n",
       "  (88, 1),\n",
       "  (174, 1),\n",
       "  (193, 1),\n",
       "  (205, 1),\n",
       "  (206, 2),\n",
       "  (207, 1),\n",
       "  (208, 1)],\n",
       " [(56, 1), (144, 1), (209, 1), (210, 1), (211, 1)],\n",
       " [(1, 1),\n",
       "  (4, 1),\n",
       "  (72, 1),\n",
       "  (95, 1),\n",
       "  (108, 2),\n",
       "  (212, 1),\n",
       "  (213, 1),\n",
       "  (214, 1),\n",
       "  (215, 1)],\n",
       " [(15, 1), (29, 1), (51, 1), (216, 1)],\n",
       " [(13, 1),\n",
       "  (30, 1),\n",
       "  (31, 1),\n",
       "  (38, 1),\n",
       "  (58, 1),\n",
       "  (73, 1),\n",
       "  (103, 1),\n",
       "  (157, 1),\n",
       "  (217, 1),\n",
       "  (218, 1),\n",
       "  (219, 1),\n",
       "  (220, 1),\n",
       "  (221, 1),\n",
       "  (222, 1)],\n",
       " [(13, 1), (223, 1)],\n",
       " [(56, 1), (108, 1), (224, 1)],\n",
       " [(0, 1),\n",
       "  (7, 1),\n",
       "  (31, 1),\n",
       "  (140, 1),\n",
       "  (161, 1),\n",
       "  (191, 1),\n",
       "  (205, 1),\n",
       "  (219, 1),\n",
       "  (225, 1),\n",
       "  (226, 1),\n",
       "  (227, 1)],\n",
       " [(13, 1), (27, 1), (228, 1), (229, 1)],\n",
       " [(171, 1), (230, 1), (231, 1)],\n",
       " [(108, 1), (129, 1), (174, 1), (232, 1)],\n",
       " [(1, 1), (2, 1), (128, 1), (143, 1), (233, 1)],\n",
       " [(14, 1),\n",
       "  (30, 1),\n",
       "  (80, 1),\n",
       "  (95, 1),\n",
       "  (104, 1),\n",
       "  (108, 2),\n",
       "  (120, 1),\n",
       "  (150, 1),\n",
       "  (154, 1),\n",
       "  (193, 1),\n",
       "  (223, 2),\n",
       "  (234, 1),\n",
       "  (235, 1),\n",
       "  (236, 1),\n",
       "  (237, 1),\n",
       "  (238, 1),\n",
       "  (239, 3),\n",
       "  (240, 1),\n",
       "  (241, 1),\n",
       "  (242, 1),\n",
       "  (243, 1),\n",
       "  (244, 1),\n",
       "  (245, 1)],\n",
       " [(40, 1), (183, 1), (246, 1), (247, 1)],\n",
       " [(53, 1), (176, 1), (232, 1), (248, 1)],\n",
       " [(249, 1)],\n",
       " [(13, 1), (27, 1), (75, 1)],\n",
       " [(197, 1), (250, 1)],\n",
       " [(6, 1), (41, 1), (79, 1), (121, 1), (251, 1)],\n",
       " [(13, 1),\n",
       "  (27, 1),\n",
       "  (32, 1),\n",
       "  (75, 1),\n",
       "  (170, 1),\n",
       "  (181, 1),\n",
       "  (200, 1),\n",
       "  (219, 1),\n",
       "  (252, 1),\n",
       "  (253, 1),\n",
       "  (254, 1),\n",
       "  (255, 1),\n",
       "  (256, 1),\n",
       "  (257, 1),\n",
       "  (258, 1),\n",
       "  (259, 1),\n",
       "  (260, 1),\n",
       "  (261, 1)],\n",
       " [(6, 1), (63, 1), (262, 1), (263, 1)],\n",
       " [(2, 1),\n",
       "  (54, 1),\n",
       "  (95, 2),\n",
       "  (156, 1),\n",
       "  (218, 1),\n",
       "  (264, 1),\n",
       "  (265, 1),\n",
       "  (266, 1),\n",
       "  (267, 1),\n",
       "  (268, 1)],\n",
       " [(6, 1), (94, 1), (269, 1), (270, 1)],\n",
       " [(6, 1), (80, 1), (205, 1), (243, 1), (248, 1), (261, 1)],\n",
       " [(54, 1), (71, 1), (195, 1), (270, 1), (271, 1)],\n",
       " [(2, 1), (31, 1), (47, 1), (72, 1), (272, 1)],\n",
       " [(40, 1), (44, 1), (86, 1), (109, 1)],\n",
       " [(0, 1), (56, 1), (273, 1)],\n",
       " [(0, 1)],\n",
       " [(0, 1), (13, 1), (23, 1), (31, 1), (95, 1), (108, 1), (232, 1), (274, 1)],\n",
       " [(27, 2), (275, 1), (276, 1), (277, 1)],\n",
       " [(13, 1), (99, 1), (143, 1), (250, 1), (278, 1), (279, 1)],\n",
       " [(139, 1)],\n",
       " [(0, 1), (31, 1), (276, 1)],\n",
       " [(54, 1),\n",
       "  (72, 1),\n",
       "  (73, 2),\n",
       "  (171, 1),\n",
       "  (200, 1),\n",
       "  (212, 1),\n",
       "  (280, 1),\n",
       "  (281, 2),\n",
       "  (282, 1),\n",
       "  (283, 1),\n",
       "  (284, 1)],\n",
       " [(6, 1), (25, 1), (31, 1), (56, 1), (130, 1), (148, 1)],\n",
       " [(42, 1), (185, 1)],\n",
       " [(2, 1), (27, 1), (51, 1), (120, 1), (165, 1), (285, 1), (286, 1)],\n",
       " [(23, 1), (83, 1), (287, 1)],\n",
       " [(49, 1), (72, 1), (128, 1), (288, 1), (289, 1)],\n",
       " [(7, 1), (10, 1), (13, 3), (130, 1), (196, 1)],\n",
       " [(93, 1), (128, 1), (185, 1), (290, 2)],\n",
       " [(13, 1), (23, 1), (56, 1), (108, 1)],\n",
       " [(13, 1), (73, 1), (236, 1), (291, 1), (292, 1)],\n",
       " [(7, 1), (47, 1), (79, 1), (155, 1), (293, 1), (294, 1)],\n",
       " [(6, 1),\n",
       "  (13, 1),\n",
       "  (28, 1),\n",
       "  (97, 1),\n",
       "  (224, 1),\n",
       "  (295, 1),\n",
       "  (296, 1),\n",
       "  (297, 1),\n",
       "  (298, 1)],\n",
       " [(70, 1),\n",
       "  (140, 1),\n",
       "  (219, 1),\n",
       "  (227, 1),\n",
       "  (242, 1),\n",
       "  (299, 1),\n",
       "  (300, 1),\n",
       "  (301, 1),\n",
       "  (302, 1),\n",
       "  (303, 2)],\n",
       " [(31, 1),\n",
       "  (71, 1),\n",
       "  (125, 2),\n",
       "  (129, 1),\n",
       "  (203, 1),\n",
       "  (256, 1),\n",
       "  (304, 1),\n",
       "  (305, 1),\n",
       "  (306, 1),\n",
       "  (307, 1)],\n",
       " [(2, 1), (57, 1), (108, 1), (130, 1), (240, 1), (293, 1), (294, 1), (303, 1)],\n",
       " [(56, 1),\n",
       "  (83, 1),\n",
       "  (110, 1),\n",
       "  (210, 1),\n",
       "  (236, 1),\n",
       "  (271, 1),\n",
       "  (308, 1),\n",
       "  (309, 1)],\n",
       " [(121, 1), (225, 1)],\n",
       " [(51, 1), (56, 2), (94, 1), (168, 1), (293, 1), (294, 1), (310, 1)],\n",
       " [(56, 1), (270, 1), (281, 1), (311, 1), (312, 1), (313, 1)],\n",
       " [(38, 1), (143, 1), (213, 1), (314, 1)],\n",
       " [(0, 1),\n",
       "  (164, 1),\n",
       "  (224, 1),\n",
       "  (262, 1),\n",
       "  (287, 1),\n",
       "  (315, 1),\n",
       "  (316, 1),\n",
       "  (317, 1),\n",
       "  (318, 1)],\n",
       " [(6, 1),\n",
       "  (61, 1),\n",
       "  (68, 1),\n",
       "  (82, 1),\n",
       "  (87, 1),\n",
       "  (103, 1),\n",
       "  (184, 1),\n",
       "  (185, 1),\n",
       "  (194, 1),\n",
       "  (319, 1),\n",
       "  (320, 1),\n",
       "  (321, 1),\n",
       "  (322, 1)],\n",
       " [(68, 1),\n",
       "  (108, 1),\n",
       "  (117, 1),\n",
       "  (125, 1),\n",
       "  (128, 3),\n",
       "  (133, 1),\n",
       "  (285, 2),\n",
       "  (300, 2),\n",
       "  (308, 1),\n",
       "  (323, 1),\n",
       "  (324, 1)],\n",
       " [(40, 1), (65, 1), (236, 1), (250, 2)],\n",
       " [(11, 1),\n",
       "  (12, 1),\n",
       "  (38, 2),\n",
       "  (83, 1),\n",
       "  (108, 1),\n",
       "  (166, 3),\n",
       "  (223, 2),\n",
       "  (239, 1),\n",
       "  (252, 1),\n",
       "  (288, 1),\n",
       "  (294, 1),\n",
       "  (325, 1)],\n",
       " [(7, 1),\n",
       "  (13, 1),\n",
       "  (63, 1),\n",
       "  (94, 1),\n",
       "  (276, 1),\n",
       "  (315, 1),\n",
       "  (326, 1),\n",
       "  (327, 1),\n",
       "  (328, 1)],\n",
       " [(7, 2),\n",
       "  (13, 1),\n",
       "  (130, 1),\n",
       "  (139, 1),\n",
       "  (252, 1),\n",
       "  (300, 1),\n",
       "  (328, 1),\n",
       "  (329, 1),\n",
       "  (330, 1),\n",
       "  (331, 1)],\n",
       " [(97, 1), (113, 1), (307, 1), (327, 1)],\n",
       " [(77, 1), (99, 1), (255, 1)],\n",
       " [(38, 1),\n",
       "  (60, 2),\n",
       "  (67, 1),\n",
       "  (148, 1),\n",
       "  (153, 1),\n",
       "  (156, 1),\n",
       "  (162, 1),\n",
       "  (165, 1),\n",
       "  (166, 1),\n",
       "  (206, 1),\n",
       "  (268, 1),\n",
       "  (326, 1),\n",
       "  (332, 1),\n",
       "  (333, 1),\n",
       "  (334, 1)],\n",
       " [(186, 1), (260, 1), (335, 1)],\n",
       " [(336, 1)],\n",
       " [(13, 1), (51, 1), (97, 1), (337, 1)],\n",
       " [(2, 1),\n",
       "  (23, 1),\n",
       "  (43, 1),\n",
       "  (54, 1),\n",
       "  (56, 4),\n",
       "  (88, 1),\n",
       "  (99, 1),\n",
       "  (101, 1),\n",
       "  (115, 1),\n",
       "  (121, 1),\n",
       "  (147, 2),\n",
       "  (150, 1),\n",
       "  (151, 1),\n",
       "  (162, 1),\n",
       "  (197, 1),\n",
       "  (211, 1),\n",
       "  (215, 1),\n",
       "  (239, 1),\n",
       "  (241, 1),\n",
       "  (273, 1),\n",
       "  (286, 1),\n",
       "  (312, 1),\n",
       "  (337, 1),\n",
       "  (338, 1),\n",
       "  (339, 1),\n",
       "  (340, 1),\n",
       "  (341, 1),\n",
       "  (342, 2),\n",
       "  (343, 1),\n",
       "  (344, 1),\n",
       "  (345, 2),\n",
       "  (346, 1),\n",
       "  (347, 1),\n",
       "  (348, 1)],\n",
       " [(13, 1), (191, 1)],\n",
       " [(13, 1), (194, 1)],\n",
       " [(7, 1),\n",
       "  (23, 1),\n",
       "  (24, 1),\n",
       "  (43, 1),\n",
       "  (108, 1),\n",
       "  (124, 1),\n",
       "  (131, 1),\n",
       "  (148, 1),\n",
       "  (154, 1),\n",
       "  (155, 1),\n",
       "  (193, 1),\n",
       "  (212, 1),\n",
       "  (213, 1),\n",
       "  (245, 1),\n",
       "  (275, 1),\n",
       "  (305, 1),\n",
       "  (308, 1),\n",
       "  (349, 1),\n",
       "  (350, 1)],\n",
       " [(0, 1), (7, 1), (21, 1), (25, 1), (33, 1), (51, 1), (63, 1), (75, 1)],\n",
       " [(11, 1), (16, 1), (72, 1), (309, 1), (351, 1)],\n",
       " [(77, 1), (198, 1), (256, 1), (352, 1), (353, 1)],\n",
       " [(0, 1), (3, 1), (7, 1), (13, 2), (75, 1), (229, 1), (354, 1)],\n",
       " [(29, 1), (121, 1), (250, 1), (277, 1), (328, 1)],\n",
       " [(7, 1), (36, 1), (268, 1)],\n",
       " [(1, 1), (2, 1), (6, 1), (27, 1), (93, 1), (109, 1), (241, 1), (355, 1)],\n",
       " [(27, 1), (40, 1), (44, 1), (197, 1), (355, 1)],\n",
       " [(31, 1), (95, 1), (241, 1), (266, 1), (281, 1)],\n",
       " [(6, 1), (17, 1), (184, 1), (189, 1), (248, 1)],\n",
       " [(13, 1), (83, 1), (93, 1), (152, 1)],\n",
       " [(2, 1),\n",
       "  (17, 1),\n",
       "  (37, 1),\n",
       "  (143, 1),\n",
       "  (148, 1),\n",
       "  (152, 1),\n",
       "  (340, 1),\n",
       "  (356, 1),\n",
       "  (357, 1)],\n",
       " [(2, 1), (13, 1), (31, 1)],\n",
       " [(209, 1), (352, 1), (358, 1), (359, 1)],\n",
       " [(7, 1),\n",
       "  (44, 1),\n",
       "  (83, 1),\n",
       "  (88, 1),\n",
       "  (149, 1),\n",
       "  (159, 1),\n",
       "  (189, 1),\n",
       "  (205, 1),\n",
       "  (283, 1),\n",
       "  (302, 1),\n",
       "  (320, 1),\n",
       "  (336, 1),\n",
       "  (360, 1),\n",
       "  (361, 1),\n",
       "  (362, 1)],\n",
       " [(7, 1), (13, 1), (333, 1), (352, 1)],\n",
       " [(2, 1),\n",
       "  (7, 1),\n",
       "  (31, 1),\n",
       "  (50, 1),\n",
       "  (63, 1),\n",
       "  (252, 1),\n",
       "  (315, 1),\n",
       "  (363, 1),\n",
       "  (364, 1),\n",
       "  (365, 1),\n",
       "  (366, 1)],\n",
       " [(2, 1), (13, 1), (22, 1), (143, 1), (194, 1), (367, 2), (368, 1)],\n",
       " [(27, 1), (33, 1), (154, 1), (203, 1), (369, 1), (370, 1)],\n",
       " [(101, 1), (250, 1), (364, 1)],\n",
       " [(13, 1), (31, 1), (47, 1), (72, 1), (175, 1), (301, 1), (371, 1), (372, 1)],\n",
       " [(2, 1), (132, 1), (165, 1)],\n",
       " [(75, 1), (128, 1), (130, 1), (373, 1)],\n",
       " [(94, 1), (135, 1)],\n",
       " [(13, 1),\n",
       "  (38, 1),\n",
       "  (40, 1),\n",
       "  (54, 1),\n",
       "  (77, 2),\n",
       "  (87, 1),\n",
       "  (147, 1),\n",
       "  (178, 1),\n",
       "  (182, 1),\n",
       "  (213, 1),\n",
       "  (260, 1),\n",
       "  (374, 1),\n",
       "  (375, 1)],\n",
       " [(0, 1),\n",
       "  (7, 1),\n",
       "  (13, 2),\n",
       "  (57, 1),\n",
       "  (130, 1),\n",
       "  (156, 1),\n",
       "  (193, 1),\n",
       "  (260, 1),\n",
       "  (299, 1),\n",
       "  (360, 1),\n",
       "  (363, 1),\n",
       "  (372, 1)],\n",
       " [(2, 1)],\n",
       " [(8, 1),\n",
       "  (26, 1),\n",
       "  (56, 1),\n",
       "  (58, 1),\n",
       "  (140, 1),\n",
       "  (155, 1),\n",
       "  (195, 1),\n",
       "  (312, 1),\n",
       "  (358, 1),\n",
       "  (369, 1)],\n",
       " [(323, 1), (335, 1), (353, 1), (364, 1)],\n",
       " [(56, 1), (63, 1), (223, 1), (266, 2), (289, 1), (376, 1)],\n",
       " [(141, 1), (261, 1), (274, 1), (328, 1)],\n",
       " [(38, 1),\n",
       "  (61, 2),\n",
       "  (81, 2),\n",
       "  (83, 1),\n",
       "  (240, 1),\n",
       "  (316, 1),\n",
       "  (322, 1),\n",
       "  (342, 1),\n",
       "  (377, 1)],\n",
       " [(13, 1),\n",
       "  (26, 1),\n",
       "  (31, 1),\n",
       "  (40, 1),\n",
       "  (51, 1),\n",
       "  (72, 1),\n",
       "  (88, 2),\n",
       "  (130, 1),\n",
       "  (150, 1),\n",
       "  (197, 1),\n",
       "  (280, 1),\n",
       "  (295, 1),\n",
       "  (316, 1),\n",
       "  (357, 1),\n",
       "  (378, 1),\n",
       "  (379, 1)],\n",
       " [(1, 1), (72, 1), (192, 1), (223, 1), (249, 1)],\n",
       " [(74, 1), (117, 1), (285, 1), (300, 1)],\n",
       " [(34, 1), (99, 1), (128, 1)],\n",
       " [(36, 1),\n",
       "  (75, 1),\n",
       "  (83, 1),\n",
       "  (88, 1),\n",
       "  (121, 1),\n",
       "  (139, 1),\n",
       "  (150, 1),\n",
       "  (154, 1),\n",
       "  (158, 1),\n",
       "  (225, 1),\n",
       "  (241, 1),\n",
       "  (331, 1),\n",
       "  (380, 1),\n",
       "  (381, 1)],\n",
       " [(0, 1), (1, 2), (2, 2), (31, 2), (318, 1), (382, 1)],\n",
       " [(7, 1), (130, 1), (153, 1)],\n",
       " [(38, 1),\n",
       "  (56, 1),\n",
       "  (88, 1),\n",
       "  (154, 1),\n",
       "  (219, 1),\n",
       "  (239, 1),\n",
       "  (241, 1),\n",
       "  (254, 1),\n",
       "  (256, 1),\n",
       "  (383, 1),\n",
       "  (384, 1),\n",
       "  (385, 1)],\n",
       " [(302, 1), (386, 1)],\n",
       " [(39, 1), (47, 1), (68, 1), (88, 1), (280, 1), (378, 1), (387, 1)],\n",
       " [(30, 1), (75, 1), (185, 1), (229, 1)],\n",
       " [(8, 3),\n",
       "  (13, 4),\n",
       "  (20, 1),\n",
       "  (24, 1),\n",
       "  (35, 1),\n",
       "  (40, 1),\n",
       "  (43, 1),\n",
       "  (52, 1),\n",
       "  (54, 1),\n",
       "  (57, 2),\n",
       "  (65, 1),\n",
       "  (88, 1),\n",
       "  (93, 1),\n",
       "  (99, 1),\n",
       "  (101, 1),\n",
       "  (108, 1),\n",
       "  (109, 1),\n",
       "  (120, 1),\n",
       "  (125, 1),\n",
       "  (139, 1),\n",
       "  (174, 1),\n",
       "  (287, 1),\n",
       "  (290, 1),\n",
       "  (292, 1),\n",
       "  (295, 2),\n",
       "  (320, 1),\n",
       "  (388, 1),\n",
       "  (389, 3)],\n",
       " [(4, 1),\n",
       "  (14, 1),\n",
       "  (96, 1),\n",
       "  (105, 1),\n",
       "  (109, 2),\n",
       "  (140, 1),\n",
       "  (205, 1),\n",
       "  (229, 1),\n",
       "  (300, 2),\n",
       "  (308, 1),\n",
       "  (329, 2),\n",
       "  (390, 1),\n",
       "  (391, 1),\n",
       "  (392, 1),\n",
       "  (393, 1),\n",
       "  (394, 1),\n",
       "  (395, 1)],\n",
       " [(0, 1),\n",
       "  (13, 1),\n",
       "  (46, 1),\n",
       "  (95, 2),\n",
       "  (132, 1),\n",
       "  (163, 2),\n",
       "  (200, 1),\n",
       "  (221, 1),\n",
       "  (241, 1),\n",
       "  (283, 1),\n",
       "  (293, 1),\n",
       "  (294, 1),\n",
       "  (387, 1),\n",
       "  (396, 2),\n",
       "  (397, 1),\n",
       "  (398, 1)],\n",
       " [(11, 1)],\n",
       " [(2, 1), (399, 1)],\n",
       " [(400, 1), (401, 1)],\n",
       " [(13, 1), (34, 1), (117, 1), (259, 1)],\n",
       " [(98, 1), (310, 1)],\n",
       " [(7, 1), (54, 1), (56, 1), (71, 1), (109, 1), (176, 1)],\n",
       " [(130, 1), (402, 1)],\n",
       " [(13, 1), (79, 1)],\n",
       " [(2, 1),\n",
       "  (13, 1),\n",
       "  (83, 1),\n",
       "  (106, 1),\n",
       "  (175, 1),\n",
       "  (197, 1),\n",
       "  (304, 1),\n",
       "  (355, 1),\n",
       "  (372, 1)],\n",
       " [(44, 1), (93, 1), (123, 1), (154, 1), (224, 1), (355, 1), (403, 1)],\n",
       " [(1, 1), (75, 1), (88, 1), (404, 1)],\n",
       " [(31, 1), (47, 1), (72, 1), (255, 1)],\n",
       " [(2, 1),\n",
       "  (27, 1),\n",
       "  (31, 1),\n",
       "  (75, 1),\n",
       "  (91, 1),\n",
       "  (135, 1),\n",
       "  (203, 1),\n",
       "  (245, 1),\n",
       "  (277, 1),\n",
       "  (311, 1),\n",
       "  (405, 1),\n",
       "  (406, 1)],\n",
       " [(2, 1),\n",
       "  (71, 1),\n",
       "  (77, 1),\n",
       "  (125, 1),\n",
       "  (142, 1),\n",
       "  (201, 1),\n",
       "  (368, 1),\n",
       "  (407, 1),\n",
       "  (408, 1)],\n",
       " [(27, 1), (65, 1), (93, 1), (152, 1)],\n",
       " [(83, 1),\n",
       "  (89, 1),\n",
       "  (97, 1),\n",
       "  (175, 1),\n",
       "  (187, 1),\n",
       "  (197, 1),\n",
       "  (337, 1),\n",
       "  (375, 1),\n",
       "  (409, 1)],\n",
       " [(2, 2),\n",
       "  (9, 1),\n",
       "  (13, 1),\n",
       "  (31, 1),\n",
       "  (59, 1),\n",
       "  (66, 1),\n",
       "  (187, 1),\n",
       "  (276, 1),\n",
       "  (290, 1),\n",
       "  (372, 1),\n",
       "  (378, 1),\n",
       "  (379, 1),\n",
       "  (397, 1),\n",
       "  (406, 1),\n",
       "  (409, 1)],\n",
       " [(0, 1), (56, 1), (261, 1), (364, 1)],\n",
       " [(2, 1),\n",
       "  (27, 1),\n",
       "  (31, 1),\n",
       "  (73, 1),\n",
       "  (93, 1),\n",
       "  (125, 1),\n",
       "  (152, 1),\n",
       "  (154, 1),\n",
       "  (197, 1),\n",
       "  (229, 1),\n",
       "  (382, 1),\n",
       "  (410, 1),\n",
       "  (411, 1)],\n",
       " [(130, 1), (294, 1)],\n",
       " [(116, 1), (118, 1), (301, 1)],\n",
       " [(59, 1), (78, 1), (128, 1), (152, 1), (202, 1), (383, 1), (407, 1)],\n",
       " [(56, 1), (163, 1), (276, 1), (401, 1)],\n",
       " [(71, 1), (255, 1), (408, 1)],\n",
       " [(2, 1),\n",
       "  (26, 1),\n",
       "  (54, 1),\n",
       "  (56, 1),\n",
       "  (241, 1),\n",
       "  (291, 1),\n",
       "  (305, 1),\n",
       "  (340, 1),\n",
       "  (370, 1),\n",
       "  (389, 1),\n",
       "  (396, 1),\n",
       "  (412, 1),\n",
       "  (413, 1),\n",
       "  (414, 1),\n",
       "  (415, 1),\n",
       "  (416, 1)],\n",
       " [(13, 1),\n",
       "  (23, 1),\n",
       "  (36, 1),\n",
       "  (38, 2),\n",
       "  (55, 1),\n",
       "  (59, 1),\n",
       "  (75, 1),\n",
       "  (88, 1),\n",
       "  (167, 1),\n",
       "  (185, 1),\n",
       "  (203, 1),\n",
       "  (210, 1),\n",
       "  (228, 1),\n",
       "  (250, 1),\n",
       "  (277, 1),\n",
       "  (278, 1),\n",
       "  (299, 1),\n",
       "  (320, 2),\n",
       "  (355, 2),\n",
       "  (367, 2),\n",
       "  (417, 1),\n",
       "  (418, 1)],\n",
       " [(88, 1), (229, 1), (233, 1), (349, 1), (356, 1), (404, 1)],\n",
       " [(2, 1), (92, 1), (117, 1), (276, 1), (307, 1), (335, 1)],\n",
       " [(130, 1), (300, 1), (392, 1), (393, 1), (402, 1), (414, 1)],\n",
       " [(2, 2), (13, 1), (31, 1), (95, 1), (108, 1), (165, 1), (166, 1)],\n",
       " [(83, 1), (151, 1), (154, 1), (237, 1), (419, 1), (420, 1)],\n",
       " [(40, 1), (143, 1), (255, 1), (375, 1)],\n",
       " [(6, 2),\n",
       "  (10, 1),\n",
       "  (32, 1),\n",
       "  (54, 1),\n",
       "  (160, 1),\n",
       "  (195, 1),\n",
       "  (283, 2),\n",
       "  (319, 1),\n",
       "  (421, 1),\n",
       "  (422, 1)],\n",
       " [(11, 1), (80, 1), (128, 1), (165, 1)],\n",
       " [(1, 1),\n",
       "  (2, 1),\n",
       "  (26, 1),\n",
       "  (31, 1),\n",
       "  (56, 1),\n",
       "  (72, 1),\n",
       "  (151, 1),\n",
       "  (187, 1),\n",
       "  (236, 1),\n",
       "  (378, 1),\n",
       "  (401, 1)],\n",
       " [(23, 1), (199, 1), (207, 1), (228, 1)],\n",
       " [(80, 1), (95, 1), (150, 1), (156, 1), (333, 1), (357, 1)],\n",
       " [(0, 1),\n",
       "  (7, 2),\n",
       "  (13, 1),\n",
       "  (26, 1),\n",
       "  (31, 1),\n",
       "  (83, 1),\n",
       "  (200, 1),\n",
       "  (278, 1),\n",
       "  (342, 1)],\n",
       " [(423, 1)],\n",
       " [(23, 1), (31, 1), (59, 1), (95, 1), (109, 1), (139, 2), (314, 1), (414, 1)],\n",
       " [(6, 1), (121, 1), (175, 1), (356, 1)],\n",
       " [(108, 1),\n",
       "  (155, 1),\n",
       "  (258, 1),\n",
       "  (261, 1),\n",
       "  (415, 1),\n",
       "  (424, 1),\n",
       "  (425, 1),\n",
       "  (426, 1)],\n",
       " [(51, 1), (254, 1)],\n",
       " [(130, 1), (366, 1)],\n",
       " [(75, 1),\n",
       "  (137, 1),\n",
       "  (148, 1),\n",
       "  (173, 1),\n",
       "  (194, 2),\n",
       "  (220, 1),\n",
       "  (229, 1),\n",
       "  (279, 1),\n",
       "  (321, 1),\n",
       "  (358, 1),\n",
       "  (406, 1)],\n",
       " [(6, 1),\n",
       "  (43, 1),\n",
       "  (215, 1),\n",
       "  (226, 1),\n",
       "  (261, 1),\n",
       "  (300, 1),\n",
       "  (302, 1),\n",
       "  (372, 1),\n",
       "  (427, 1)],\n",
       " [(16, 1), (94, 1), (294, 1)],\n",
       " [(93, 1), (259, 1), (355, 1)],\n",
       " [(7, 1), (70, 1), (130, 1), (233, 1)],\n",
       " [(40, 1)],\n",
       " [(152, 2), (323, 1), (428, 1)],\n",
       " [(13, 1),\n",
       "  (27, 1),\n",
       "  (88, 1),\n",
       "  (152, 1),\n",
       "  (158, 1),\n",
       "  (197, 1),\n",
       "  (202, 1),\n",
       "  (229, 1),\n",
       "  (357, 1)],\n",
       " [(15, 1),\n",
       "  (31, 1),\n",
       "  (54, 1),\n",
       "  (87, 1),\n",
       "  (93, 1),\n",
       "  (131, 1),\n",
       "  (154, 1),\n",
       "  (175, 1),\n",
       "  (186, 1),\n",
       "  (227, 1),\n",
       "  (245, 1),\n",
       "  (379, 1)],\n",
       " [(68, 1), (95, 1), (256, 1), (260, 1), (268, 1), (328, 1), (336, 1)],\n",
       " [(27, 1), (135, 1), (185, 1), (355, 1), (429, 1)],\n",
       " [(13, 1),\n",
       "  (56, 1),\n",
       "  (68, 1),\n",
       "  (130, 1),\n",
       "  (148, 1),\n",
       "  (226, 1),\n",
       "  (254, 1),\n",
       "  (300, 1),\n",
       "  (305, 1),\n",
       "  (328, 1),\n",
       "  (364, 3)],\n",
       " [(6, 1), (121, 1), (225, 1)],\n",
       " [(7, 2),\n",
       "  (49, 1),\n",
       "  (54, 1),\n",
       "  (64, 1),\n",
       "  (104, 1),\n",
       "  (130, 1),\n",
       "  (139, 1),\n",
       "  (302, 1),\n",
       "  (311, 1),\n",
       "  (320, 1),\n",
       "  (430, 1)],\n",
       " [(1, 1),\n",
       "  (2, 2),\n",
       "  (7, 1),\n",
       "  (10, 1),\n",
       "  (20, 2),\n",
       "  (24, 1),\n",
       "  (72, 1),\n",
       "  (95, 1),\n",
       "  (96, 1),\n",
       "  (163, 1),\n",
       "  (166, 1),\n",
       "  (169, 1),\n",
       "  (224, 1),\n",
       "  (252, 1),\n",
       "  (257, 1),\n",
       "  (263, 1),\n",
       "  (266, 1),\n",
       "  (296, 1),\n",
       "  (297, 1),\n",
       "  (306, 1),\n",
       "  (330, 1),\n",
       "  (334, 1),\n",
       "  (431, 1),\n",
       "  (432, 1)],\n",
       " [(2, 1), (31, 1), (165, 1), (337, 1)],\n",
       " [(23, 1), (433, 1)],\n",
       " [(2, 1), (13, 1), (40, 1), (93, 1), (152, 1), (236, 1), (287, 1)],\n",
       " [(434, 1)],\n",
       " [(13, 1), (77, 1), (236, 1), (407, 1)],\n",
       " [(75, 2), (149, 1), (175, 1), (246, 1), (395, 1), (428, 1), (435, 1)],\n",
       " [(1, 1),\n",
       "  (13, 1),\n",
       "  (23, 1),\n",
       "  (71, 1),\n",
       "  (86, 1),\n",
       "  (162, 1),\n",
       "  (176, 1),\n",
       "  (223, 1),\n",
       "  (243, 1),\n",
       "  (246, 1),\n",
       "  (252, 1),\n",
       "  (291, 1),\n",
       "  (403, 1),\n",
       "  (436, 1),\n",
       "  (437, 1)],\n",
       " [(36, 1), (43, 1), (56, 1), (75, 1), (396, 1)],\n",
       " [(2, 1),\n",
       "  (83, 1),\n",
       "  (93, 1),\n",
       "  (165, 1),\n",
       "  (191, 1),\n",
       "  (218, 1),\n",
       "  (224, 1),\n",
       "  (264, 1),\n",
       "  (278, 1),\n",
       "  (289, 1)],\n",
       " [(109, 1), (216, 1), (224, 1)],\n",
       " [(15, 1), (45, 1), (75, 1), (203, 1), (290, 1), (320, 1), (333, 1)],\n",
       " [(1, 1), (2, 1), (29, 1), (181, 1), (228, 1), (250, 1), (354, 1), (438, 1)],\n",
       " [(4, 1),\n",
       "  (15, 1),\n",
       "  (31, 1),\n",
       "  (33, 1),\n",
       "  (79, 1),\n",
       "  (80, 1),\n",
       "  (121, 1),\n",
       "  (216, 1),\n",
       "  (256, 1),\n",
       "  (300, 1),\n",
       "  (322, 1)],\n",
       " [(33, 1), (94, 1)],\n",
       " [(89, 1),\n",
       "  (99, 1),\n",
       "  (108, 1),\n",
       "  (110, 1),\n",
       "  (115, 1),\n",
       "  (127, 1),\n",
       "  (182, 1),\n",
       "  (219, 1),\n",
       "  (439, 1)],\n",
       " [(8, 1),\n",
       "  (10, 1),\n",
       "  (16, 1),\n",
       "  (95, 1),\n",
       "  (120, 1),\n",
       "  (152, 1),\n",
       "  (178, 1),\n",
       "  (279, 1),\n",
       "  (284, 1),\n",
       "  (304, 1),\n",
       "  (415, 1),\n",
       "  (440, 1),\n",
       "  (441, 1)],\n",
       " [(0, 1), (97, 1), (202, 1), (236, 1)],\n",
       " [(20, 1), (289, 1), (311, 1), (440, 1)],\n",
       " [(6, 1), (11, 1), (136, 1)],\n",
       " [(1, 1),\n",
       "  (7, 1),\n",
       "  (11, 1),\n",
       "  (13, 2),\n",
       "  (61, 1),\n",
       "  (84, 1),\n",
       "  (108, 1),\n",
       "  (109, 2),\n",
       "  (124, 1),\n",
       "  (218, 1),\n",
       "  (239, 3)],\n",
       " [(402, 1)],\n",
       " [(98, 1), (267, 1), (330, 1), (344, 1), (358, 1), (367, 1)],\n",
       " [(0, 1), (12, 1), (72, 1), (96, 1), (109, 1), (187, 1), (224, 1), (345, 1)],\n",
       " [(31, 1),\n",
       "  (38, 1),\n",
       "  (39, 1),\n",
       "  (41, 1),\n",
       "  (95, 1),\n",
       "  (123, 1),\n",
       "  (154, 1),\n",
       "  (168, 1),\n",
       "  (198, 1),\n",
       "  (256, 1),\n",
       "  (282, 1),\n",
       "  (358, 1),\n",
       "  (442, 1),\n",
       "  (443, 1)],\n",
       " [(300, 1), (328, 1), (364, 1), (414, 1), (430, 1), (444, 1)],\n",
       " [(13, 1),\n",
       "  (27, 1),\n",
       "  (33, 1),\n",
       "  (36, 1),\n",
       "  (38, 1),\n",
       "  (83, 1),\n",
       "  (202, 1),\n",
       "  (330, 1),\n",
       "  (418, 1),\n",
       "  (445, 1)],\n",
       " [(51, 1), (63, 1), (113, 1), (238, 1), (239, 1), (325, 1), (330, 1)],\n",
       " [(154, 1), (362, 1), (411, 1)],\n",
       " [(7, 2), (23, 1), (37, 2), (190, 1), (210, 1), (219, 1), (446, 1)],\n",
       " [(73, 1)],\n",
       " [(1, 1), (2, 1), (13, 1), (141, 1), (447, 1)],\n",
       " [(0, 1),\n",
       "  (29, 1),\n",
       "  (32, 1),\n",
       "  (35, 1),\n",
       "  (144, 1),\n",
       "  (261, 1),\n",
       "  (340, 1),\n",
       "  (405, 1),\n",
       "  (406, 1)],\n",
       " [(18, 1),\n",
       "  (50, 1),\n",
       "  (81, 1),\n",
       "  (145, 1),\n",
       "  (223, 1),\n",
       "  (239, 1),\n",
       "  (241, 1),\n",
       "  (273, 1),\n",
       "  (448, 1)],\n",
       " [(0, 1),\n",
       "  (7, 1),\n",
       "  (66, 1),\n",
       "  (120, 1),\n",
       "  (156, 1),\n",
       "  (256, 1),\n",
       "  (265, 1),\n",
       "  (291, 1),\n",
       "  (297, 1),\n",
       "  (383, 1),\n",
       "  (388, 1),\n",
       "  (425, 1)],\n",
       " [(23, 1), (50, 1), (72, 1), (80, 1), (117, 1), (197, 1), (252, 1), (449, 1)],\n",
       " [(11, 1), (136, 1), (434, 1), (450, 1)],\n",
       " [(31, 1), (276, 1), (451, 1)],\n",
       " [(0, 1),\n",
       "  (13, 1),\n",
       "  (27, 2),\n",
       "  (31, 1),\n",
       "  (39, 1),\n",
       "  (54, 1),\n",
       "  (58, 1),\n",
       "  (73, 1),\n",
       "  (75, 1),\n",
       "  (79, 1),\n",
       "  (91, 1),\n",
       "  (97, 1),\n",
       "  (108, 1),\n",
       "  (117, 1),\n",
       "  (180, 1),\n",
       "  (202, 2),\n",
       "  (203, 2),\n",
       "  (229, 1),\n",
       "  (304, 1),\n",
       "  (333, 1),\n",
       "  (373, 1),\n",
       "  (380, 1),\n",
       "  (400, 1),\n",
       "  (418, 1),\n",
       "  (445, 1),\n",
       "  (452, 1),\n",
       "  (453, 1),\n",
       "  (454, 1),\n",
       "  (455, 2)],\n",
       " [(6, 1), (58, 1), (72, 1), (108, 1), (328, 1), (355, 1), (364, 1)],\n",
       " [(49, 1), (128, 1), (148, 1), (372, 1)],\n",
       " [(11, 1), (56, 1), (234, 1), (257, 1), (297, 1), (301, 1), (456, 1)],\n",
       " [(7, 1), (36, 1), (130, 3), (140, 1), (180, 1), (200, 1), (205, 1)],\n",
       " [(4, 1),\n",
       "  (13, 1),\n",
       "  (17, 2),\n",
       "  (38, 1),\n",
       "  (68, 2),\n",
       "  (88, 1),\n",
       "  (119, 1),\n",
       "  (132, 1),\n",
       "  (133, 1),\n",
       "  (150, 1),\n",
       "  (188, 1),\n",
       "  (189, 1),\n",
       "  (190, 1),\n",
       "  (228, 1),\n",
       "  (231, 1),\n",
       "  (242, 1),\n",
       "  (277, 1),\n",
       "  (279, 1),\n",
       "  (292, 1),\n",
       "  (320, 1),\n",
       "  (424, 1),\n",
       "  (454, 1),\n",
       "  (457, 1)],\n",
       " [(23, 1), (42, 1), (80, 1), (108, 2), (154, 1)],\n",
       " [(17, 1), (20, 1), (52, 1), (83, 1), (95, 1), (262, 1), (458, 1)],\n",
       " [(14, 1),\n",
       "  (38, 1),\n",
       "  (56, 1),\n",
       "  (154, 1),\n",
       "  (207, 1),\n",
       "  (310, 1),\n",
       "  (362, 1),\n",
       "  (375, 1),\n",
       "  (407, 1),\n",
       "  (414, 1),\n",
       "  (457, 1)],\n",
       " [(24, 1), (38, 1), (58, 1), (61, 1), (245, 1), (269, 1), (457, 1)],\n",
       " [(2, 1),\n",
       "  (13, 1),\n",
       "  (26, 1),\n",
       "  (143, 1),\n",
       "  (154, 1),\n",
       "  (165, 1),\n",
       "  (228, 1),\n",
       "  (250, 1),\n",
       "  (277, 1)],\n",
       " [(27, 1), (179, 1), (256, 1), (320, 1), (459, 1)],\n",
       " [(56, 1), (80, 1), (273, 1), (320, 1), (340, 1)],\n",
       " [(280, 1), (430, 1)],\n",
       " [(1, 1), (2, 1), (13, 1), (31, 1), (143, 1), (194, 1)],\n",
       " [(2, 1),\n",
       "  (73, 1),\n",
       "  (77, 1),\n",
       "  (86, 2),\n",
       "  (101, 1),\n",
       "  (197, 2),\n",
       "  (202, 1),\n",
       "  (393, 1),\n",
       "  (460, 1),\n",
       "  (461, 1)],\n",
       " [(1, 1),\n",
       "  (2, 1),\n",
       "  (31, 1),\n",
       "  (51, 1),\n",
       "  (63, 1),\n",
       "  (143, 1),\n",
       "  (148, 1),\n",
       "  (225, 1),\n",
       "  (315, 1),\n",
       "  (382, 1)],\n",
       " [(11, 1),\n",
       "  (13, 1),\n",
       "  (20, 1),\n",
       "  (23, 1),\n",
       "  (72, 1),\n",
       "  (73, 1),\n",
       "  (80, 1),\n",
       "  (108, 1),\n",
       "  (130, 1),\n",
       "  (176, 1),\n",
       "  (196, 1),\n",
       "  (223, 3),\n",
       "  (280, 1),\n",
       "  (351, 2),\n",
       "  (425, 1),\n",
       "  (431, 1),\n",
       "  (441, 1),\n",
       "  (462, 1)],\n",
       " [(31, 1),\n",
       "  (68, 1),\n",
       "  (71, 1),\n",
       "  (83, 1),\n",
       "  (93, 1),\n",
       "  (118, 1),\n",
       "  (143, 1),\n",
       "  (183, 1),\n",
       "  (189, 1),\n",
       "  (193, 1),\n",
       "  (224, 1),\n",
       "  (229, 1),\n",
       "  (236, 1),\n",
       "  (241, 1),\n",
       "  (253, 1),\n",
       "  (294, 1),\n",
       "  (320, 1),\n",
       "  (335, 1),\n",
       "  (424, 1),\n",
       "  (448, 1),\n",
       "  (463, 1)],\n",
       " [(7, 1),\n",
       "  (23, 1),\n",
       "  (31, 1),\n",
       "  (41, 1),\n",
       "  (47, 1),\n",
       "  (50, 1),\n",
       "  (123, 1),\n",
       "  (124, 1),\n",
       "  (140, 1),\n",
       "  (174, 1),\n",
       "  (342, 1),\n",
       "  (464, 1)],\n",
       " [(13, 1), (77, 1), (176, 1)],\n",
       " [(27, 1),\n",
       "  (108, 1),\n",
       "  (115, 1),\n",
       "  (141, 1),\n",
       "  (153, 1),\n",
       "  (201, 1),\n",
       "  (241, 1),\n",
       "  (465, 1),\n",
       "  (466, 1)],\n",
       " [(0, 1),\n",
       "  (20, 1),\n",
       "  (53, 1),\n",
       "  (144, 1),\n",
       "  (163, 1),\n",
       "  (177, 1),\n",
       "  (205, 1),\n",
       "  (279, 1),\n",
       "  (288, 1),\n",
       "  (320, 1)],\n",
       " [(138, 1), (304, 1), (365, 1), (443, 1)],\n",
       " [(2, 1), (223, 1), (274, 1)],\n",
       " [(8, 1), (80, 1), (122, 1), (184, 1), (389, 1), (445, 1), (467, 1)],\n",
       " [(0, 1),\n",
       "  (1, 2),\n",
       "  (2, 1),\n",
       "  (11, 1),\n",
       "  (26, 1),\n",
       "  (72, 1),\n",
       "  (95, 1),\n",
       "  (102, 1),\n",
       "  (108, 2),\n",
       "  (111, 1),\n",
       "  (206, 1),\n",
       "  (223, 1),\n",
       "  (317, 1),\n",
       "  (318, 3),\n",
       "  (397, 1),\n",
       "  (437, 1),\n",
       "  (468, 1)],\n",
       " [(40, 1), (64, 1), (250, 1), (272, 1)],\n",
       " [(32, 1),\n",
       "  (145, 1),\n",
       "  (173, 1),\n",
       "  (182, 1),\n",
       "  (194, 1),\n",
       "  (203, 1),\n",
       "  (250, 1),\n",
       "  (277, 1),\n",
       "  (321, 1),\n",
       "  (417, 1)],\n",
       " [(219, 1), (222, 1), (410, 1), (463, 1)],\n",
       " [(28, 1), (77, 1), (290, 1), (335, 1)],\n",
       " [(0, 1), (7, 1), (83, 1), (109, 2), (320, 2)],\n",
       " [(118, 1), (132, 1), (260, 1)],\n",
       " [(7, 1),\n",
       "  (13, 2),\n",
       "  (23, 1),\n",
       "  (40, 1),\n",
       "  (79, 1),\n",
       "  (80, 1),\n",
       "  (104, 1),\n",
       "  (108, 1),\n",
       "  (132, 1),\n",
       "  (203, 3),\n",
       "  (277, 1),\n",
       "  (304, 1),\n",
       "  (314, 3),\n",
       "  (374, 1),\n",
       "  (375, 1),\n",
       "  (435, 1),\n",
       "  (449, 1),\n",
       "  (467, 1),\n",
       "  (469, 2)],\n",
       " [(7, 1),\n",
       "  (47, 1),\n",
       "  (59, 1),\n",
       "  (83, 1),\n",
       "  (113, 1),\n",
       "  (117, 1),\n",
       "  (128, 1),\n",
       "  (219, 1),\n",
       "  (260, 1),\n",
       "  (316, 1),\n",
       "  (372, 2),\n",
       "  (416, 1)],\n",
       " [(2, 1), (6, 1), (13, 1), (24, 1), (31, 1), (191, 1)],\n",
       " [(24, 1),\n",
       "  (33, 1),\n",
       "  (36, 1),\n",
       "  (40, 1),\n",
       "  (128, 1),\n",
       "  (152, 1),\n",
       "  (155, 1),\n",
       "  (181, 1),\n",
       "  (258, 1),\n",
       "  (348, 1),\n",
       "  (428, 1)],\n",
       " [(6, 1), (25, 1), (79, 1), (363, 1), (445, 1)],\n",
       " [(7, 1),\n",
       "  (19, 1),\n",
       "  (24, 1),\n",
       "  (68, 1),\n",
       "  (81, 1),\n",
       "  (84, 1),\n",
       "  (89, 1),\n",
       "  (108, 1),\n",
       "  (109, 1),\n",
       "  (127, 1),\n",
       "  (132, 1),\n",
       "  (175, 1),\n",
       "  (232, 1),\n",
       "  (254, 1),\n",
       "  (266, 1),\n",
       "  (300, 1),\n",
       "  (320, 1),\n",
       "  (470, 1)],\n",
       " [(1, 1), (2, 1), (144, 1), (259, 1), (471, 1)],\n",
       " [(25, 1),\n",
       "  (41, 1),\n",
       "  (79, 1),\n",
       "  (128, 1),\n",
       "  (144, 1),\n",
       "  (162, 1),\n",
       "  (302, 1),\n",
       "  (342, 1),\n",
       "  (373, 1),\n",
       "  (374, 1)],\n",
       " [(13, 1), (154, 1), (166, 1), (305, 1), (349, 1), (472, 1)],\n",
       " [(13, 1), (100, 1)],\n",
       " [(30, 1), (54, 1), (56, 1), (270, 1), (271, 1), (320, 1), (467, 1)],\n",
       " [(72, 1), (289, 1), (372, 1), (404, 1), (410, 1)],\n",
       " [(2, 2),\n",
       "  (13, 1),\n",
       "  (23, 2),\n",
       "  (60, 1),\n",
       "  (63, 1),\n",
       "  (67, 1),\n",
       "  (73, 1),\n",
       "  (97, 1),\n",
       "  (108, 1),\n",
       "  (163, 1),\n",
       "  (198, 1),\n",
       "  (222, 1),\n",
       "  (223, 1),\n",
       "  (337, 1),\n",
       "  (399, 1)],\n",
       " [(6, 1), (41, 1), (56, 2), (200, 1), (296, 1), (297, 1), (372, 1)],\n",
       " [(17, 1),\n",
       "  (23, 1),\n",
       "  (39, 1),\n",
       "  (45, 1),\n",
       "  (70, 1),\n",
       "  (120, 1),\n",
       "  (148, 1),\n",
       "  (150, 1),\n",
       "  (189, 1),\n",
       "  (210, 1),\n",
       "  (282, 1),\n",
       "  (302, 5),\n",
       "  (329, 2),\n",
       "  (413, 1),\n",
       "  (426, 1),\n",
       "  (430, 1),\n",
       "  (473, 1),\n",
       "  (474, 1)],\n",
       " [(79, 1), (84, 1), (203, 1), (475, 1)],\n",
       " [(13, 1),\n",
       "  (27, 1),\n",
       "  (40, 1),\n",
       "  (45, 1),\n",
       "  (71, 1),\n",
       "  (101, 1),\n",
       "  (129, 1),\n",
       "  (152, 1),\n",
       "  (197, 1),\n",
       "  (240, 1),\n",
       "  (253, 1),\n",
       "  (306, 1),\n",
       "  (320, 1),\n",
       "  (355, 1),\n",
       "  (379, 1),\n",
       "  (476, 1)],\n",
       " [(7, 1),\n",
       "  (13, 1),\n",
       "  (26, 2),\n",
       "  (40, 1),\n",
       "  (44, 1),\n",
       "  (88, 1),\n",
       "  (101, 1),\n",
       "  (108, 1),\n",
       "  (109, 1),\n",
       "  (125, 1),\n",
       "  (127, 1),\n",
       "  (152, 1),\n",
       "  (283, 1),\n",
       "  (464, 1),\n",
       "  (477, 1),\n",
       "  (478, 1)],\n",
       " [(43, 1),\n",
       "  (44, 1),\n",
       "  (72, 1),\n",
       "  (75, 1),\n",
       "  (104, 1),\n",
       "  (130, 1),\n",
       "  (150, 1),\n",
       "  (175, 1),\n",
       "  (177, 1),\n",
       "  (178, 1),\n",
       "  (183, 1),\n",
       "  (254, 1),\n",
       "  (279, 1),\n",
       "  (300, 1),\n",
       "  (301, 1),\n",
       "  (308, 1),\n",
       "  (384, 1),\n",
       "  (385, 1),\n",
       "  (398, 1),\n",
       "  (444, 1),\n",
       "  (458, 1),\n",
       "  (468, 2)],\n",
       " [(2, 1),\n",
       "  (17, 1),\n",
       "  (25, 1),\n",
       "  (56, 1),\n",
       "  (65, 1),\n",
       "  (108, 1),\n",
       "  (170, 1),\n",
       "  (205, 1),\n",
       "  (229, 1),\n",
       "  (290, 1),\n",
       "  (310, 2),\n",
       "  (396, 1),\n",
       "  (455, 1),\n",
       "  (479, 1)],\n",
       " [(71, 1), (132, 1), (287, 1), (411, 1), (465, 1), (472, 1), (480, 1)],\n",
       " [(2, 1), (7, 1), (180, 1), (229, 1), (247, 1), (422, 1)],\n",
       " [(7, 1), (29, 1), (63, 1), (238, 1), (266, 1), (315, 1), (481, 1)],\n",
       " [(9, 1),\n",
       "  (23, 1),\n",
       "  (54, 1),\n",
       "  (85, 3),\n",
       "  (108, 1),\n",
       "  (234, 1),\n",
       "  (246, 1),\n",
       "  (253, 1),\n",
       "  (294, 1),\n",
       "  (435, 1),\n",
       "  (452, 1)],\n",
       " [(9, 1), (91, 1), (92, 1), (152, 1), (182, 1), (365, 1), (482, 1)],\n",
       " [(22, 1), (250, 1)],\n",
       " [(71, 1), (152, 1), (236, 1), (323, 1), (408, 1)],\n",
       " [(28, 1),\n",
       "  (32, 1),\n",
       "  (40, 1),\n",
       "  (95, 1),\n",
       "  (127, 1),\n",
       "  (160, 1),\n",
       "  (194, 1),\n",
       "  (266, 1),\n",
       "  (303, 1),\n",
       "  (467, 1),\n",
       "  (481, 1)],\n",
       " [(13, 1), (57, 1), (367, 1), (438, 1)],\n",
       " [(6, 1), (87, 1), (125, 1), (149, 1), (373, 1), (389, 1), (411, 1), (483, 1)],\n",
       " [(36, 1), (41, 1), (95, 1), (188, 1), (477, 1), (484, 1)],\n",
       " [(1, 1),\n",
       "  (2, 1),\n",
       "  (59, 1),\n",
       "  (73, 1),\n",
       "  (83, 1),\n",
       "  (117, 1),\n",
       "  (126, 1),\n",
       "  (139, 1),\n",
       "  (225, 1),\n",
       "  (276, 1),\n",
       "  (279, 1),\n",
       "  (376, 1),\n",
       "  (452, 1)],\n",
       " [(27, 1),\n",
       "  (31, 1),\n",
       "  (44, 1),\n",
       "  (75, 1),\n",
       "  (83, 1),\n",
       "  (246, 1),\n",
       "  (306, 1),\n",
       "  (485, 1),\n",
       "  (486, 1)],\n",
       " [(1, 1), (56, 1), (301, 1)],\n",
       " [(2, 1), (7, 1), (40, 1), (85, 1), (108, 1), (148, 1), (339, 1), (439, 1)],\n",
       " [(30, 1), (63, 1), (150, 1), (232, 1), (369, 1)],\n",
       " [(5, 1),\n",
       "  (54, 1),\n",
       "  (67, 1),\n",
       "  (76, 1),\n",
       "  (109, 1),\n",
       "  (166, 1),\n",
       "  (213, 1),\n",
       "  (299, 1),\n",
       "  (379, 1)],\n",
       " [(8, 1), (310, 1), (405, 1)],\n",
       " [(277, 1), (423, 1)],\n",
       " [(54, 1),\n",
       "  (56, 1),\n",
       "  (108, 1),\n",
       "  (178, 1),\n",
       "  (236, 1),\n",
       "  (270, 2),\n",
       "  (313, 1),\n",
       "  (378, 1),\n",
       "  (487, 1)],\n",
       " [(54, 1),\n",
       "  (97, 1),\n",
       "  (125, 1),\n",
       "  (147, 1),\n",
       "  (157, 1),\n",
       "  (255, 1),\n",
       "  (320, 1),\n",
       "  (330, 1),\n",
       "  (437, 1),\n",
       "  (445, 1),\n",
       "  (488, 1)],\n",
       " [(13, 1), (103, 1), (152, 1)],\n",
       " [(13, 1), (250, 1), (318, 1), (406, 1), (422, 1)],\n",
       " [(2, 1), (7, 1), (31, 1), (32, 1)],\n",
       " [(43, 1), (75, 1), (112, 1), (115, 1), (139, 2), (240, 1), (266, 1)],\n",
       " [(36, 1), (90, 1)],\n",
       " [(29, 1),\n",
       "  (56, 1),\n",
       "  (73, 1),\n",
       "  (74, 1),\n",
       "  (81, 1),\n",
       "  (108, 1),\n",
       "  (121, 1),\n",
       "  (144, 1),\n",
       "  (162, 1),\n",
       "  (229, 1),\n",
       "  (231, 1),\n",
       "  (273, 1),\n",
       "  (324, 1),\n",
       "  (357, 1),\n",
       "  (383, 1),\n",
       "  (416, 3)],\n",
       " [(13, 1),\n",
       "  (26, 1),\n",
       "  (93, 1),\n",
       "  (97, 1),\n",
       "  (235, 1),\n",
       "  (276, 1),\n",
       "  (278, 1),\n",
       "  (369, 1),\n",
       "  (389, 1)],\n",
       " [(333, 1), (390, 1)],\n",
       " [(13, 1), (38, 2), (311, 1), (316, 1), (326, 1), (416, 1), (436, 1)],\n",
       " [(88, 1), (270, 1), (309, 1), (381, 1)],\n",
       " [(2, 1)],\n",
       " [(201, 1), (225, 1), (254, 1), (300, 1), (430, 1)],\n",
       " [(11, 1), (29, 1), (108, 1), (123, 1), (340, 1), (351, 1), (388, 1)],\n",
       " [(1, 1), (2, 1), (31, 1)],\n",
       " [(130, 1), (402, 1)],\n",
       " [(27, 1), (62, 1), (154, 1)],\n",
       " [(0, 1),\n",
       "  (1, 1),\n",
       "  (3, 1),\n",
       "  (41, 2),\n",
       "  (62, 1),\n",
       "  (130, 1),\n",
       "  (138, 1),\n",
       "  (251, 1),\n",
       "  (261, 1),\n",
       "  (342, 1)],\n",
       " [(6, 1), (7, 1), (40, 1), (44, 1), (189, 1), (372, 1), (385, 1)],\n",
       " [(56, 1), (146, 1), (483, 1)],\n",
       " [(51, 1), (79, 1)],\n",
       " [(31, 1), (283, 1)],\n",
       " [(2, 1), (24, 1), (29, 1), (75, 1), (86, 1), (125, 1), (204, 1), (339, 1)],\n",
       " [(2, 1),\n",
       "  (31, 1),\n",
       "  (70, 1),\n",
       "  (108, 1),\n",
       "  (132, 1),\n",
       "  (133, 1),\n",
       "  (165, 1),\n",
       "  (217, 1),\n",
       "  (489, 1)],\n",
       " [(0, 1), (68, 1), (130, 1), (219, 1)],\n",
       " [(0, 1), (21, 1), (25, 1), (31, 1), (75, 1), (276, 1)],\n",
       " [(32, 1), (138, 1), (172, 1), (223, 2), (243, 1), (304, 1)],\n",
       " [(10, 1), (75, 1), (223, 1), (236, 1), (311, 1)],\n",
       " [(56, 1), (175, 1)],\n",
       " [(120, 1), (128, 1), (228, 1), (279, 1), (379, 1), (428, 1)],\n",
       " [(13, 1)],\n",
       " [(2, 2),\n",
       "  (7, 1),\n",
       "  (31, 1),\n",
       "  (47, 1),\n",
       "  (68, 1),\n",
       "  (72, 1),\n",
       "  (75, 1),\n",
       "  (77, 3),\n",
       "  (78, 1),\n",
       "  (97, 1),\n",
       "  (120, 1),\n",
       "  (165, 1),\n",
       "  (202, 1),\n",
       "  (241, 1),\n",
       "  (254, 1),\n",
       "  (337, 1),\n",
       "  (355, 1),\n",
       "  (375, 1),\n",
       "  (434, 1),\n",
       "  (448, 1),\n",
       "  (457, 1)],\n",
       " [(205, 1), (236, 1), (261, 1), (274, 1), (328, 1), (387, 1), (422, 1)],\n",
       " [(30, 1), (31, 1), (47, 1), (72, 1), (264, 1), (375, 2), (440, 1), (490, 1)],\n",
       " [(51, 1), (57, 1), (125, 1), (211, 1), (329, 1), (356, 1)],\n",
       " [(6, 1)],\n",
       " [(14, 1),\n",
       "  (15, 1),\n",
       "  (56, 1),\n",
       "  (153, 1),\n",
       "  (205, 1),\n",
       "  (219, 1),\n",
       "  (299, 1),\n",
       "  (391, 1),\n",
       "  (491, 1)],\n",
       " [(56, 1), (79, 2), (132, 1), (139, 1), (171, 1), (226, 2), (316, 1)],\n",
       " [(13, 1), (124, 1), (355, 1)],\n",
       " [(99, 1), (137, 1), (189, 1)],\n",
       " [(144, 1), (236, 1), (245, 1), (317, 1), (379, 1), (492, 1)],\n",
       " [(13, 1), (230, 1), (372, 1)],\n",
       " [(2, 1),\n",
       "  (23, 1),\n",
       "  (31, 1),\n",
       "  (40, 1),\n",
       "  (85, 1),\n",
       "  (101, 1),\n",
       "  (128, 1),\n",
       "  (138, 1),\n",
       "  (148, 1),\n",
       "  (209, 1),\n",
       "  (311, 1),\n",
       "  (323, 1),\n",
       "  (467, 1),\n",
       "  (469, 1)],\n",
       " [(13, 1)],\n",
       " [(13, 1), (150, 1), (152, 1), (323, 1)],\n",
       " [(2, 1),\n",
       "  (23, 1),\n",
       "  (31, 1),\n",
       "  (95, 2),\n",
       "  (99, 1),\n",
       "  (122, 1),\n",
       "  (124, 1),\n",
       "  (197, 1),\n",
       "  (223, 1),\n",
       "  (266, 2)],\n",
       " [(6, 1), (41, 1)],\n",
       " [(13, 2), (31, 1), (125, 1), (475, 1)],\n",
       " [(26, 1), (300, 2), (329, 2), (426, 1), (492, 1)],\n",
       " [(13, 1), (85, 1), (489, 1)],\n",
       " [(10, 1),\n",
       "  (11, 1),\n",
       "  (24, 1),\n",
       "  (31, 1),\n",
       "  (56, 1),\n",
       "  (80, 1),\n",
       "  (139, 2),\n",
       "  (190, 1),\n",
       "  (236, 1),\n",
       "  (271, 1)],\n",
       " [(0, 1),\n",
       "  (2, 1),\n",
       "  (7, 1),\n",
       "  (30, 1),\n",
       "  (31, 1),\n",
       "  (75, 1),\n",
       "  (137, 1),\n",
       "  (181, 1),\n",
       "  (274, 1),\n",
       "  (358, 1),\n",
       "  (382, 1)],\n",
       " [(140, 1), (308, 1), (401, 1), (493, 1)],\n",
       " [(13, 1), (27, 1), (56, 2), (407, 1), (450, 1)],\n",
       " [(13, 1), (28, 1), (73, 1), (191, 1), (194, 1), (218, 1)],\n",
       " [(75, 1), (135, 1), (300, 1), (372, 1)],\n",
       " [(51, 1), (71, 1), (168, 1), (203, 2), (362, 1), (408, 1)],\n",
       " [(17, 1), (312, 1), (468, 1), (483, 1)],\n",
       " [(5, 1),\n",
       "  (8, 1),\n",
       "  (89, 1),\n",
       "  (95, 1),\n",
       "  (109, 1),\n",
       "  (193, 1),\n",
       "  (219, 1),\n",
       "  (262, 1),\n",
       "  (287, 1),\n",
       "  (446, 1),\n",
       "  (451, 1),\n",
       "  (485, 1),\n",
       "  (494, 1)],\n",
       " [(13, 1),\n",
       "  (15, 1),\n",
       "  (49, 1),\n",
       "  (73, 1),\n",
       "  (107, 1),\n",
       "  (139, 2),\n",
       "  (200, 1),\n",
       "  (252, 1),\n",
       "  (300, 1),\n",
       "  (372, 1),\n",
       "  (426, 1)],\n",
       " [(0, 1),\n",
       "  (33, 1),\n",
       "  (247, 1),\n",
       "  (250, 1),\n",
       "  (355, 1),\n",
       "  (367, 1),\n",
       "  (372, 1),\n",
       "  (385, 1),\n",
       "  (460, 1),\n",
       "  (462, 1)],\n",
       " [(156, 1), (162, 1)],\n",
       " [(13, 1), (38, 1), (56, 1), (68, 1), (301, 1)],\n",
       " [(323, 1)],\n",
       " [(23, 1),\n",
       "  (38, 1),\n",
       "  (77, 3),\n",
       "  (80, 1),\n",
       "  (189, 1),\n",
       "  (239, 1),\n",
       "  (255, 1),\n",
       "  (279, 1),\n",
       "  (476, 1)],\n",
       " [(27, 1), (40, 1), (352, 1)],\n",
       " [(13, 1), (60, 1), (109, 1), (156, 1), (224, 1)],\n",
       " [(23, 1),\n",
       "  (94, 1),\n",
       "  (135, 1),\n",
       "  (162, 1),\n",
       "  (239, 1),\n",
       "  (268, 1),\n",
       "  (342, 1),\n",
       "  (455, 1),\n",
       "  (490, 1)],\n",
       " [(63, 1), (160, 1), (315, 1)],\n",
       " [(40, 1), (250, 1), (367, 1)],\n",
       " [(58, 1), (329, 1), (394, 1), (415, 1), (416, 1), (495, 1)],\n",
       " [(6, 1),\n",
       "  (7, 1),\n",
       "  (29, 1),\n",
       "  (57, 1),\n",
       "  (64, 1),\n",
       "  (109, 1),\n",
       "  (203, 3),\n",
       "  (232, 1),\n",
       "  (255, 1),\n",
       "  (303, 1),\n",
       "  (362, 1),\n",
       "  (373, 1),\n",
       "  (408, 1),\n",
       "  (447, 1)],\n",
       " [(23, 1), (104, 1), (109, 1), (170, 1), (207, 1), (290, 1)],\n",
       " [(56, 1),\n",
       "  (127, 1),\n",
       "  (146, 1),\n",
       "  (270, 1),\n",
       "  (309, 1),\n",
       "  (412, 1),\n",
       "  (487, 1),\n",
       "  (496, 1)],\n",
       " [(71, 1), (99, 1), (161, 1), (236, 1)],\n",
       " [(6, 1), (319, 1), (406, 1), (419, 1), (420, 1)],\n",
       " [(13, 1), (23, 1), (27, 1), (50, 1), (93, 1), (252, 1)],\n",
       " [(1, 1), (2, 1), (31, 1), (162, 1), (382, 1)],\n",
       " [(13, 2), (162, 1), (163, 1), (166, 1), (224, 1), (245, 1)],\n",
       " [(0, 1), (44, 1), (75, 1), (76, 1), (85, 1), (481, 1)],\n",
       " [(40, 1),\n",
       "  (113, 1),\n",
       "  (115, 1),\n",
       "  (128, 1),\n",
       "  (154, 1),\n",
       "  (197, 1),\n",
       "  (323, 1),\n",
       "  (428, 2),\n",
       "  (467, 1),\n",
       "  (497, 1)],\n",
       " [(54, 2),\n",
       "  (56, 1),\n",
       "  (71, 1),\n",
       "  (108, 1),\n",
       "  (109, 2),\n",
       "  (110, 1),\n",
       "  (223, 1),\n",
       "  (270, 2),\n",
       "  (309, 1),\n",
       "  (313, 1),\n",
       "  (477, 1),\n",
       "  (495, 1),\n",
       "  (496, 1)],\n",
       " [(71, 1),\n",
       "  (108, 2),\n",
       "  (121, 1),\n",
       "  (172, 1),\n",
       "  (205, 1),\n",
       "  (242, 1),\n",
       "  (370, 1),\n",
       "  (436, 1),\n",
       "  (460, 1)],\n",
       " [(161, 1)],\n",
       " [(123, 1)],\n",
       " [(5, 1), (15, 1), (17, 1), (63, 1), (163, 1), (388, 1)],\n",
       " [(2, 1), (13, 2), (31, 1), (63, 1), (152, 1), (162, 1), (263, 1), (489, 1)],\n",
       " [(25, 1)],\n",
       " [(2, 1), (27, 1), (77, 1), (202, 1), (322, 1), (336, 1)],\n",
       " [(27, 1)],\n",
       " [(3, 1), (13, 1), (54, 1), (165, 1), (266, 1), (364, 1), (380, 1)],\n",
       " [(13, 2),\n",
       "  (20, 1),\n",
       "  (60, 1),\n",
       "  (72, 1),\n",
       "  (167, 1),\n",
       "  (224, 1),\n",
       "  (298, 1),\n",
       "  (301, 1),\n",
       "  (306, 1),\n",
       "  (334, 1),\n",
       "  (367, 1),\n",
       "  (396, 1)],\n",
       " [(13, 1),\n",
       "  (15, 1),\n",
       "  (31, 2),\n",
       "  (56, 1),\n",
       "  (72, 1),\n",
       "  (89, 1),\n",
       "  (115, 2),\n",
       "  (153, 1),\n",
       "  (195, 1),\n",
       "  (237, 1),\n",
       "  (241, 1),\n",
       "  (245, 2),\n",
       "  (266, 1),\n",
       "  (291, 1),\n",
       "  (343, 1),\n",
       "  (359, 2),\n",
       "  (375, 1),\n",
       "  (453, 1),\n",
       "  (494, 1)],\n",
       " [(8, 3),\n",
       "  (9, 1),\n",
       "  (72, 1),\n",
       "  (95, 1),\n",
       "  (117, 1),\n",
       "  (164, 1),\n",
       "  (167, 1),\n",
       "  (189, 1),\n",
       "  (193, 1),\n",
       "  (208, 1),\n",
       "  (224, 1),\n",
       "  (276, 3),\n",
       "  (284, 1),\n",
       "  (304, 1),\n",
       "  (320, 1),\n",
       "  (375, 1),\n",
       "  (388, 1),\n",
       "  (427, 1)],\n",
       " [(203, 1), (250, 1), (335, 1), (353, 1)],\n",
       " [(87, 1),\n",
       "  (101, 1),\n",
       "  (120, 1),\n",
       "  (208, 1),\n",
       "  (229, 1),\n",
       "  (231, 1),\n",
       "  (254, 1),\n",
       "  (323, 1)],\n",
       " [(13, 1),\n",
       "  (23, 1),\n",
       "  (26, 1),\n",
       "  (89, 1),\n",
       "  (103, 2),\n",
       "  (108, 1),\n",
       "  (123, 1),\n",
       "  (162, 1),\n",
       "  (168, 1),\n",
       "  (170, 1),\n",
       "  (173, 1),\n",
       "  (194, 1),\n",
       "  (234, 1),\n",
       "  (250, 1),\n",
       "  (258, 1),\n",
       "  (277, 2),\n",
       "  (279, 2),\n",
       "  (300, 1),\n",
       "  (321, 1),\n",
       "  (338, 2),\n",
       "  (417, 2),\n",
       "  (425, 1),\n",
       "  (441, 1),\n",
       "  (453, 1),\n",
       "  (485, 2),\n",
       "  (498, 1),\n",
       "  (499, 1)],\n",
       " [(144, 1)],\n",
       " [(13, 1), (39, 1), (130, 1), (154, 1), (260, 1)],\n",
       " [(11, 1), (12, 1), (196, 1), (262, 1), (375, 1)],\n",
       " [(2, 1), (134, 1), (180, 1), (322, 1), (336, 1)],\n",
       " [(13, 1),\n",
       "  (18, 1),\n",
       "  (34, 1),\n",
       "  (38, 1),\n",
       "  (56, 1),\n",
       "  (139, 2),\n",
       "  (146, 1),\n",
       "  (243, 1),\n",
       "  (292, 1),\n",
       "  (297, 1),\n",
       "  (332, 1),\n",
       "  (403, 1)],\n",
       " [(27, 1), (445, 1), (478, 1)],\n",
       " [(0, 1),\n",
       "  (38, 1),\n",
       "  (54, 1),\n",
       "  (57, 1),\n",
       "  (73, 1),\n",
       "  (93, 1),\n",
       "  (96, 1),\n",
       "  (144, 1),\n",
       "  (146, 1),\n",
       "  (208, 1),\n",
       "  (218, 1),\n",
       "  (322, 1),\n",
       "  (363, 1),\n",
       "  (442, 1)],\n",
       " [(7, 1), (130, 1), (193, 1), (239, 1)],\n",
       " [(96, 1), (193, 1), (207, 1), (246, 1), (353, 1), (412, 1)],\n",
       " [(236, 1), (255, 1), (259, 1)],\n",
       " [(14, 1), (55, 1), (154, 1), (194, 1), (228, 1), (320, 1)],\n",
       " [(13, 1), (87, 1), (194, 1), (203, 1), (250, 1), (292, 1)],\n",
       " [(2, 2),\n",
       "  (31, 1),\n",
       "  (113, 1),\n",
       "  (127, 1),\n",
       "  (128, 1),\n",
       "  (147, 1),\n",
       "  (165, 1),\n",
       "  (300, 1),\n",
       "  (323, 1),\n",
       "  (337, 1),\n",
       "  (353, 1),\n",
       "  (412, 1),\n",
       "  (414, 1),\n",
       "  (479, 1)],\n",
       " [(23, 1),\n",
       "  (26, 1),\n",
       "  (38, 1),\n",
       "  (47, 1),\n",
       "  (51, 1),\n",
       "  (56, 1),\n",
       "  (75, 1),\n",
       "  (79, 1),\n",
       "  (131, 1),\n",
       "  (254, 1),\n",
       "  (358, 1),\n",
       "  (447, 1)],\n",
       " [(17, 1), (20, 1), (148, 1), (260, 1), (261, 1), (294, 1), (485, 1)],\n",
       " [(10, 1), (13, 1), (483, 1)],\n",
       " [(89, 1), (130, 1), (205, 1), (299, 1), (329, 1)],\n",
       " [(32, 1), (56, 1), (94, 1), (121, 1), (269, 1), (278, 1), (362, 1)],\n",
       " [(7, 1), (24, 1), (29, 2), (31, 1), (415, 1)],\n",
       " [(13, 1),\n",
       "  (31, 1),\n",
       "  (38, 1),\n",
       "  (81, 1),\n",
       "  (96, 1),\n",
       "  (108, 1),\n",
       "  (250, 1),\n",
       "  (306, 1),\n",
       "  (355, 1),\n",
       "  (393, 1),\n",
       "  (429, 1)],\n",
       " [(39, 1),\n",
       "  (106, 1),\n",
       "  (108, 1),\n",
       "  (153, 1),\n",
       "  (304, 1),\n",
       "  (311, 1),\n",
       "  (384, 1),\n",
       "  (425, 1),\n",
       "  (500, 1)],\n",
       " [(11, 1), (56, 1), (94, 1), (143, 1), (327, 1), (494, 1)],\n",
       " [(13, 1),\n",
       "  (20, 2),\n",
       "  (51, 1),\n",
       "  (86, 2),\n",
       "  (95, 2),\n",
       "  (158, 1),\n",
       "  (163, 1),\n",
       "  (192, 1),\n",
       "  (224, 1),\n",
       "  (233, 1),\n",
       "  (236, 1),\n",
       "  (266, 2),\n",
       "  (279, 1),\n",
       "  (304, 1),\n",
       "  (349, 1),\n",
       "  (420, 1),\n",
       "  (482, 1)],\n",
       " [(7, 1),\n",
       "  (26, 1),\n",
       "  (84, 1),\n",
       "  (155, 1),\n",
       "  (197, 1),\n",
       "  (300, 1),\n",
       "  (372, 1),\n",
       "  (415, 1),\n",
       "  (426, 1),\n",
       "  (459, 1)],\n",
       " [(0, 1),\n",
       "  (31, 1),\n",
       "  (56, 1),\n",
       "  (81, 1),\n",
       "  (148, 1),\n",
       "  (231, 1),\n",
       "  (297, 1),\n",
       "  (309, 1),\n",
       "  (340, 1),\n",
       "  (381, 1),\n",
       "  (425, 1)],\n",
       " [(10, 1), (16, 1), (24, 1), (95, 2), (109, 1), (197, 1), (236, 1)],\n",
       " [(95, 1), (108, 1), (389, 1), (422, 1), (427, 1), (431, 1)],\n",
       " [(2, 1),\n",
       "  (43, 1),\n",
       "  (95, 2),\n",
       "  (109, 1),\n",
       "  (118, 2),\n",
       "  (142, 1),\n",
       "  (193, 1),\n",
       "  (244, 1),\n",
       "  (294, 1),\n",
       "  (356, 1),\n",
       "  (360, 1),\n",
       "  (442, 1),\n",
       "  (443, 1),\n",
       "  (501, 1)],\n",
       " [(51, 1), (160, 1), (301, 1), (336, 1)],\n",
       " [(2, 1),\n",
       "  (13, 1),\n",
       "  (73, 1),\n",
       "  (165, 1),\n",
       "  (166, 1),\n",
       "  (229, 1),\n",
       "  (236, 1),\n",
       "  (245, 1),\n",
       "  (349, 1),\n",
       "  (466, 1)],\n",
       " [(5, 2),\n",
       "  (7, 2),\n",
       "  (8, 2),\n",
       "  (10, 2),\n",
       "  (46, 1),\n",
       "  (65, 1),\n",
       "  (104, 1),\n",
       "  (108, 3),\n",
       "  (115, 1),\n",
       "  (154, 1),\n",
       "  (184, 1),\n",
       "  (216, 2),\n",
       "  (227, 1),\n",
       "  (260, 1),\n",
       "  (266, 4),\n",
       "  (279, 1),\n",
       "  (348, 1),\n",
       "  (388, 1),\n",
       "  (396, 2),\n",
       "  (443, 1)],\n",
       " [(10, 1),\n",
       "  (24, 1),\n",
       "  (40, 1),\n",
       "  (54, 1),\n",
       "  (56, 1),\n",
       "  (71, 1),\n",
       "  (108, 1),\n",
       "  (131, 1),\n",
       "  (195, 1),\n",
       "  (270, 1),\n",
       "  (309, 1),\n",
       "  (341, 1),\n",
       "  (391, 1),\n",
       "  (419, 2),\n",
       "  (420, 4),\n",
       "  (438, 1),\n",
       "  (481, 1)],\n",
       " [(40, 1)],\n",
       " [(13, 1), (34, 1), (117, 1), (200, 1), (236, 1), (285, 1), (497, 1)],\n",
       " [(24, 1),\n",
       "  (26, 1),\n",
       "  (54, 1),\n",
       "  (108, 1),\n",
       "  (114, 1),\n",
       "  (121, 1),\n",
       "  (139, 1),\n",
       "  (169, 1),\n",
       "  (200, 1),\n",
       "  (227, 1),\n",
       "  (297, 1),\n",
       "  (304, 1),\n",
       "  (332, 1),\n",
       "  (372, 1),\n",
       "  (425, 1),\n",
       "  (449, 1),\n",
       "  (502, 1)],\n",
       " [(406, 1)],\n",
       " [(13, 2), (51, 1), (75, 1), (130, 1), (149, 1), (203, 1), (418, 1)],\n",
       " [(10, 1),\n",
       "  (13, 1),\n",
       "  (31, 1),\n",
       "  (73, 1),\n",
       "  (103, 1),\n",
       "  (166, 1),\n",
       "  (235, 1),\n",
       "  (317, 1),\n",
       "  (379, 1)],\n",
       " [(2, 1), (71, 1), (99, 1), (128, 1), (182, 1), (394, 1)],\n",
       " [(13, 2),\n",
       "  (31, 1),\n",
       "  (40, 1),\n",
       "  (54, 1),\n",
       "  (75, 1),\n",
       "  (77, 1),\n",
       "  (152, 1),\n",
       "  (162, 1),\n",
       "  (178, 1),\n",
       "  (202, 1),\n",
       "  (355, 1),\n",
       "  (356, 1)],\n",
       " [(40, 1), (114, 1), (216, 1), (272, 1)],\n",
       " [(10, 1),\n",
       "  (23, 2),\n",
       "  (95, 1),\n",
       "  (139, 1),\n",
       "  (150, 1),\n",
       "  (193, 1),\n",
       "  (229, 2),\n",
       "  (333, 1),\n",
       "  (451, 1),\n",
       "  (488, 1)],\n",
       " [(11, 1), (56, 1), (73, 1), (94, 1)],\n",
       " [(434, 1)],\n",
       " [(30, 1),\n",
       "  (75, 1),\n",
       "  (108, 1),\n",
       "  (128, 1),\n",
       "  (148, 1),\n",
       "  (181, 1),\n",
       "  (200, 1),\n",
       "  (300, 1),\n",
       "  (323, 1),\n",
       "  (333, 1),\n",
       "  (405, 1)],\n",
       " [(6, 1),\n",
       "  (10, 1),\n",
       "  (13, 1),\n",
       "  (29, 1),\n",
       "  (162, 1),\n",
       "  (214, 1),\n",
       "  (276, 1),\n",
       "  (318, 2),\n",
       "  (321, 1),\n",
       "  (363, 1),\n",
       "  (484, 1)],\n",
       " [(237, 1), (243, 1), (248, 1), (309, 1), (487, 1)],\n",
       " [(12, 1), (108, 1), (124, 1), (267, 1)],\n",
       " [(43, 1), (56, 1), (348, 1), (493, 1), (501, 1)],\n",
       " [(6, 1),\n",
       "  (12, 1),\n",
       "  (13, 1),\n",
       "  (31, 1),\n",
       "  (38, 1),\n",
       "  (39, 1),\n",
       "  (56, 1),\n",
       "  (80, 1),\n",
       "  (88, 1),\n",
       "  (108, 1),\n",
       "  (109, 1),\n",
       "  (124, 1),\n",
       "  (154, 1),\n",
       "  (171, 1),\n",
       "  (185, 2),\n",
       "  (186, 1),\n",
       "  (193, 1),\n",
       "  (201, 1),\n",
       "  (212, 1),\n",
       "  (228, 2),\n",
       "  (250, 1),\n",
       "  (276, 1),\n",
       "  (286, 2),\n",
       "  (294, 1),\n",
       "  (297, 1),\n",
       "  (320, 1),\n",
       "  (368, 1),\n",
       "  (400, 1),\n",
       "  (425, 1),\n",
       "  (435, 1),\n",
       "  (441, 1),\n",
       "  (445, 1),\n",
       "  (459, 1),\n",
       "  (465, 1),\n",
       "  (480, 1)],\n",
       " [(27, 1), (429, 1)],\n",
       " [(2, 1),\n",
       "  (9, 1),\n",
       "  (33, 1),\n",
       "  (35, 1),\n",
       "  (42, 1),\n",
       "  (59, 1),\n",
       "  (61, 1),\n",
       "  (65, 1),\n",
       "  (114, 1),\n",
       "  (117, 1),\n",
       "  (135, 1),\n",
       "  (185, 1),\n",
       "  (194, 1),\n",
       "  (203, 2),\n",
       "  (216, 1),\n",
       "  (228, 1),\n",
       "  (277, 3),\n",
       "  (279, 1),\n",
       "  (297, 1),\n",
       "  (304, 1),\n",
       "  (321, 1),\n",
       "  (355, 1),\n",
       "  (369, 1),\n",
       "  (404, 1),\n",
       "  (405, 1),\n",
       "  (417, 1),\n",
       "  (435, 1),\n",
       "  (437, 1),\n",
       "  (460, 1)],\n",
       " [(13, 1), (23, 1), (27, 1), (40, 1), (245, 2), (357, 1), (375, 1), (467, 1)],\n",
       " [(7, 1), (13, 1), (21, 1), (79, 1)],\n",
       " [(245, 1), (253, 1), (294, 1)],\n",
       " [(231, 1)],\n",
       " [(2, 1), (31, 1)],\n",
       " [(196, 1), (374, 1)],\n",
       " [(5, 1), (8, 1), (95, 1), (284, 1), (352, 1)],\n",
       " [(2, 1),\n",
       "  (26, 1),\n",
       "  (27, 1),\n",
       "  (30, 1),\n",
       "  (42, 1),\n",
       "  (75, 1),\n",
       "  (77, 1),\n",
       "  (83, 1),\n",
       "  (123, 1),\n",
       "  (144, 1),\n",
       "  (152, 1),\n",
       "  (180, 3),\n",
       "  (244, 1),\n",
       "  (355, 1),\n",
       "  (373, 1),\n",
       "  (445, 1),\n",
       "  (465, 1),\n",
       "  (480, 1)],\n",
       " [(41, 1), (109, 1), (152, 1), (267, 1), (323, 1), (423, 1)],\n",
       " [(2, 1), (26, 1), (31, 1), (40, 1), (72, 1), (83, 1), (89, 1), (377, 1)],\n",
       " [(0, 1),\n",
       "  (2, 1),\n",
       "  (30, 1),\n",
       "  (31, 1),\n",
       "  (39, 1),\n",
       "  (47, 1),\n",
       "  (61, 1),\n",
       "  (72, 3),\n",
       "  (83, 1),\n",
       "  (139, 1),\n",
       "  (150, 1),\n",
       "  (160, 1),\n",
       "  (180, 1),\n",
       "  (198, 1),\n",
       "  (208, 1),\n",
       "  (217, 1),\n",
       "  (233, 1),\n",
       "  (276, 1),\n",
       "  (277, 2),\n",
       "  (280, 1),\n",
       "  (322, 1),\n",
       "  (354, 1),\n",
       "  (369, 1),\n",
       "  (375, 3),\n",
       "  (380, 1),\n",
       "  (386, 1),\n",
       "  (398, 1),\n",
       "  (430, 1),\n",
       "  (445, 1)],\n",
       " [(75, 1), (144, 1), (273, 1), (456, 1)],\n",
       " [(57, 1), (135, 1), (384, 1), (480, 1)],\n",
       " [(2, 1), (31, 1), (75, 1), (229, 1), (323, 1)],\n",
       " [(2, 1), (117, 1), (165, 1), (197, 1), (295, 1), (410, 1)],\n",
       " [(14, 1), (48, 1), (173, 1), (179, 1), (250, 1), (276, 1), (355, 1)],\n",
       " [(31, 1), (47, 1), (72, 1), (233, 1), (264, 1), (276, 1)],\n",
       " [(5, 1), (37, 1), (266, 1), (299, 1), (326, 1), (440, 1)],\n",
       " [(6, 2), (96, 1), (276, 1), (358, 1), (364, 1), (372, 1), (450, 1)],\n",
       " [(7, 1), (50, 1), (147, 1), (244, 1), (387, 1), (464, 1)],\n",
       " [(27, 1),\n",
       "  (31, 1),\n",
       "  (75, 1),\n",
       "  (127, 1),\n",
       "  (246, 1),\n",
       "  (267, 1),\n",
       "  (288, 1),\n",
       "  (439, 1),\n",
       "  (485, 1)],\n",
       " [],\n",
       " [(27, 1),\n",
       "  (106, 1),\n",
       "  (121, 1),\n",
       "  (143, 1),\n",
       "  (148, 1),\n",
       "  (197, 1),\n",
       "  (202, 1),\n",
       "  (364, 1)],\n",
       " [(27, 1), (197, 1)],\n",
       " [(133, 1), (179, 1), (285, 1), (300, 2), (305, 1), (324, 1), (353, 1)],\n",
       " [(103, 1), (239, 1), (249, 1), (449, 1)],\n",
       " [(0, 1),\n",
       "  (2, 1),\n",
       "  (39, 1),\n",
       "  (73, 1),\n",
       "  (75, 1),\n",
       "  (83, 1),\n",
       "  (125, 1),\n",
       "  (162, 1),\n",
       "  (259, 1),\n",
       "  (433, 1)],\n",
       " [(36, 1), (38, 1), (75, 1), (80, 1), (120, 1), (196, 1), (417, 1)],\n",
       " [(30, 1), (75, 1), (300, 1), (352, 1)],\n",
       " [(2, 1), (31, 1), (51, 1), (458, 1)],\n",
       " [(6, 1), (13, 1), (51, 2), (372, 1), (500, 1)],\n",
       " [(0, 1), (2, 1), (90, 1), (343, 1)],\n",
       " [(6, 1),\n",
       "  (56, 1),\n",
       "  (73, 1),\n",
       "  (87, 1),\n",
       "  (139, 1),\n",
       "  (149, 1),\n",
       "  (169, 1),\n",
       "  (221, 1),\n",
       "  (254, 1),\n",
       "  (300, 1),\n",
       "  (302, 1),\n",
       "  (331, 1),\n",
       "  (372, 1),\n",
       "  (379, 1),\n",
       "  (474, 1)],\n",
       " [(1, 1), (2, 1), (218, 1), (491, 1)],\n",
       " [(128, 1), (208, 1), (428, 1)],\n",
       " [(2, 1), (108, 1), (143, 1), (229, 1), (275, 1), (399, 1), (489, 1)],\n",
       " [(24, 1),\n",
       "  (27, 1),\n",
       "  (29, 1),\n",
       "  (40, 1),\n",
       "  (91, 1),\n",
       "  (128, 1),\n",
       "  (152, 1),\n",
       "  (181, 1),\n",
       "  (258, 1),\n",
       "  (428, 1)],\n",
       " [(30, 1), (203, 1)],\n",
       " [(0, 1), (5, 1), (7, 1), (13, 1), (21, 1), (238, 1), (349, 1)],\n",
       " [(23, 1), (175, 1), (367, 1)],\n",
       " [(14, 1), (174, 1), (250, 1), (370, 1)],\n",
       " [(149, 1)],\n",
       " [(7, 1),\n",
       "  (15, 1),\n",
       "  (31, 1),\n",
       "  (41, 1),\n",
       "  (54, 1),\n",
       "  (56, 3),\n",
       "  (57, 1),\n",
       "  (72, 1),\n",
       "  (80, 1),\n",
       "  (87, 1),\n",
       "  (88, 1),\n",
       "  (89, 1),\n",
       "  (96, 1),\n",
       "  (122, 1),\n",
       "  (139, 2),\n",
       "  (144, 1),\n",
       "  (154, 1),\n",
       "  (158, 1),\n",
       "  (205, 2),\n",
       "  (219, 1),\n",
       "  (225, 1),\n",
       "  (241, 1),\n",
       "  (253, 1),\n",
       "  (266, 1),\n",
       "  (320, 1),\n",
       "  (332, 1),\n",
       "  (338, 1),\n",
       "  (360, 1),\n",
       "  (412, 1),\n",
       "  (421, 1),\n",
       "  (463, 1),\n",
       "  (477, 1),\n",
       "  (483, 1)],\n",
       " [(23, 1),\n",
       "  (56, 2),\n",
       "  (83, 1),\n",
       "  (175, 1),\n",
       "  (186, 1),\n",
       "  (224, 1),\n",
       "  (236, 1),\n",
       "  (253, 1),\n",
       "  (270, 1),\n",
       "  (313, 1),\n",
       "  (341, 1),\n",
       "  (376, 1),\n",
       "  (503, 1),\n",
       "  (504, 1)],\n",
       " [(13, 1),\n",
       "  (33, 1),\n",
       "  (40, 1),\n",
       "  (59, 1),\n",
       "  (143, 1),\n",
       "  (185, 1),\n",
       "  (302, 1),\n",
       "  (308, 1),\n",
       "  (369, 1),\n",
       "  (372, 1),\n",
       "  (433, 1),\n",
       "  (476, 1),\n",
       "  (478, 1)],\n",
       " [(0, 1),\n",
       "  (29, 1),\n",
       "  (30, 1),\n",
       "  (150, 1),\n",
       "  (175, 1),\n",
       "  (251, 1),\n",
       "  (277, 2),\n",
       "  (373, 1),\n",
       "  (462, 1)],\n",
       " [(11, 1), (65, 1), (325, 1), (338, 1), (340, 1), (434, 1)],\n",
       " [(1, 2),\n",
       "  (2, 2),\n",
       "  (7, 1),\n",
       "  (18, 1),\n",
       "  (26, 1),\n",
       "  (31, 1),\n",
       "  (33, 1),\n",
       "  (82, 1),\n",
       "  (116, 1),\n",
       "  (117, 1),\n",
       "  (128, 2),\n",
       "  (133, 1),\n",
       "  (205, 1),\n",
       "  (212, 1),\n",
       "  (227, 1),\n",
       "  (245, 1),\n",
       "  (262, 1),\n",
       "  (274, 1),\n",
       "  (276, 1),\n",
       "  (280, 1),\n",
       "  (289, 1),\n",
       "  (300, 1),\n",
       "  (319, 1),\n",
       "  (355, 1),\n",
       "  (362, 1),\n",
       "  (369, 1),\n",
       "  (423, 1),\n",
       "  (427, 1),\n",
       "  (494, 1)],\n",
       " [(13, 1), (27, 1), (34, 1), (108, 1), (203, 2), (228, 1), (229, 1), (355, 1)],\n",
       " [(21, 1),\n",
       "  (101, 1),\n",
       "  (121, 1),\n",
       "  (128, 1),\n",
       "  (176, 1),\n",
       "  (178, 1),\n",
       "  (219, 1),\n",
       "  (323, 1)],\n",
       " [(41, 1),\n",
       "  (109, 1),\n",
       "  (127, 1),\n",
       "  (183, 1),\n",
       "  (188, 1),\n",
       "  (279, 1),\n",
       "  (283, 1),\n",
       "  (300, 1),\n",
       "  (342, 1),\n",
       "  (404, 1),\n",
       "  (442, 1),\n",
       "  (444, 1)],\n",
       " [(1, 1), (2, 1), (31, 1)],\n",
       " [(145, 1), (148, 1), (177, 1), (205, 1), (279, 1), (288, 1)],\n",
       " [(7, 1), (71, 1), (82, 1), (245, 1), (276, 1), (323, 1)],\n",
       " [(7, 1),\n",
       "  (9, 1),\n",
       "  (72, 1),\n",
       "  (83, 1),\n",
       "  (138, 1),\n",
       "  (139, 1),\n",
       "  (161, 1),\n",
       "  (236, 1),\n",
       "  (271, 1),\n",
       "  (376, 1)],\n",
       " [(26, 1), (64, 1), (69, 1), (104, 1), (187, 1)],\n",
       " [(1, 2),\n",
       "  (36, 1),\n",
       "  (38, 1),\n",
       "  (73, 1),\n",
       "  (75, 1),\n",
       "  (160, 1),\n",
       "  (203, 1),\n",
       "  (238, 1),\n",
       "  (354, 1),\n",
       "  (358, 1),\n",
       "  (460, 2)],\n",
       " [(40, 1),\n",
       "  (83, 1),\n",
       "  (86, 1),\n",
       "  (88, 1),\n",
       "  (101, 1),\n",
       "  (109, 1),\n",
       "  (155, 1),\n",
       "  (159, 1),\n",
       "  (240, 1)],\n",
       " [(101, 1), (119, 1), (260, 1), (300, 1), (462, 1)],\n",
       " [(79, 1), (139, 1), (205, 1), (239, 1), (254, 1), (424, 1)],\n",
       " [(6, 1), (77, 1), (96, 1), (118, 1), (353, 1), (355, 1), (407, 1)],\n",
       " [(1, 1),\n",
       "  (37, 4),\n",
       "  (38, 1),\n",
       "  (57, 1),\n",
       "  (80, 1),\n",
       "  (95, 1),\n",
       "  (108, 1),\n",
       "  (150, 1),\n",
       "  (153, 1),\n",
       "  (170, 1),\n",
       "  (190, 1),\n",
       "  (205, 4),\n",
       "  (208, 1),\n",
       "  (210, 1),\n",
       "  (254, 2),\n",
       "  (261, 1),\n",
       "  (358, 1),\n",
       "  (415, 2),\n",
       "  (447, 1),\n",
       "  (457, 1),\n",
       "  (504, 1)],\n",
       " [(230, 1)],\n",
       " [(1, 1), (2, 1), (31, 1), (101, 1), (272, 1), (445, 1)],\n",
       " [(9, 1), (127, 1), (156, 1), (223, 1), (284, 1), (361, 1), (406, 1)],\n",
       " [(175, 1), (221, 1), (302, 1), (328, 1), (398, 1)],\n",
       " [(10, 1), (13, 1), (57, 1), (79, 1), (121, 1)],\n",
       " [(23, 1),\n",
       "  (51, 1),\n",
       "  (79, 1),\n",
       "  (266, 1),\n",
       "  (268, 1),\n",
       "  (276, 1),\n",
       "  (280, 1),\n",
       "  (387, 1),\n",
       "  (427, 1),\n",
       "  (446, 1),\n",
       "  (503, 1)],\n",
       " [(208, 1), (250, 1), (475, 1)],\n",
       " [(1, 1), (2, 1), (73, 1), (83, 1), (277, 1), (367, 1), (417, 1), (445, 1)],\n",
       " [],\n",
       " [(89, 1), (229, 1), (474, 1)],\n",
       " [(10, 1), (24, 1), (51, 1), (56, 1), (183, 1), (198, 1), (342, 1), (468, 1)],\n",
       " [(2, 1), (31, 1), (67, 1), (115, 1), (165, 1), (223, 1), (236, 1)],\n",
       " [(43, 1), (84, 1), (155, 2), (300, 2), (372, 1), (477, 1)],\n",
       " [(2, 1),\n",
       "  (66, 1),\n",
       "  (88, 1),\n",
       "  (152, 1),\n",
       "  (156, 2),\n",
       "  (158, 1),\n",
       "  (175, 1),\n",
       "  (194, 1),\n",
       "  (200, 1),\n",
       "  (233, 1),\n",
       "  (235, 2),\n",
       "  (279, 1),\n",
       "  (304, 2),\n",
       "  (306, 1),\n",
       "  (308, 1),\n",
       "  (320, 1),\n",
       "  (341, 1),\n",
       "  (348, 1),\n",
       "  (351, 1),\n",
       "  (388, 1),\n",
       "  (389, 1)],\n",
       " [(143, 1),\n",
       "  (152, 1),\n",
       "  (175, 1),\n",
       "  (178, 1),\n",
       "  (197, 1),\n",
       "  (465, 1),\n",
       "  (480, 1),\n",
       "  (482, 1)],\n",
       " [(56, 1),\n",
       "  (73, 1),\n",
       "  (108, 1),\n",
       "  (117, 1),\n",
       "  (148, 1),\n",
       "  (175, 1),\n",
       "  (193, 1),\n",
       "  (224, 1),\n",
       "  (245, 1),\n",
       "  (273, 1),\n",
       "  (276, 1),\n",
       "  (342, 1),\n",
       "  (359, 1),\n",
       "  (375, 1),\n",
       "  (384, 1),\n",
       "  (409, 1),\n",
       "  (453, 1),\n",
       "  (468, 1)],\n",
       " [(355, 1)],\n",
       " [(56, 1), (162, 1)],\n",
       " [(0, 1),\n",
       "  (1, 1),\n",
       "  (2, 1),\n",
       "  (20, 1),\n",
       "  (31, 1),\n",
       "  (61, 1),\n",
       "  (66, 1),\n",
       "  (73, 1),\n",
       "  (102, 1),\n",
       "  (108, 1),\n",
       "  (162, 1),\n",
       "  (184, 1),\n",
       "  (228, 1),\n",
       "  (265, 1),\n",
       "  (318, 2),\n",
       "  (468, 1)],\n",
       " [(11, 1), (13, 1), (282, 1), (379, 1), (432, 1)],\n",
       " [(63, 1), (315, 1)],\n",
       " [(128, 1), (203, 1), (241, 1), (323, 1), (353, 1), (410, 1)],\n",
       " [(114, 1), (130, 1), (289, 1), (323, 1)],\n",
       " [(2, 1), (38, 1), (68, 1), (125, 2), (406, 1), (459, 1), (475, 1)],\n",
       " [(7, 1), (86, 1), (109, 1), (131, 1), (303, 1), (369, 1)],\n",
       " [(0, 1), (1, 1), (2, 1), (75, 1), (117, 1), (258, 1), (345, 1), (441, 1)],\n",
       " [(83, 1), (99, 1), (130, 1), (460, 1)],\n",
       " [(6, 1),\n",
       "  (7, 1),\n",
       "  (13, 1),\n",
       "  (56, 1),\n",
       "  (83, 1),\n",
       "  (108, 1),\n",
       "  (127, 2),\n",
       "  (172, 1),\n",
       "  (176, 1),\n",
       "  (236, 1),\n",
       "  (248, 2),\n",
       "  (270, 1),\n",
       "  (271, 1),\n",
       "  (364, 1),\n",
       "  (372, 1),\n",
       "  (383, 1),\n",
       "  (413, 1),\n",
       "  (467, 1),\n",
       "  (489, 1)],\n",
       " [(199, 1), (461, 1)],\n",
       " [(23, 1),\n",
       "  (26, 1),\n",
       "  (46, 1),\n",
       "  (80, 1),\n",
       "  (83, 1),\n",
       "  (143, 1),\n",
       "  (156, 1),\n",
       "  (223, 2),\n",
       "  (236, 1)],\n",
       " [(101, 1),\n",
       "  (107, 1),\n",
       "  (130, 1),\n",
       "  (197, 1),\n",
       "  (204, 1),\n",
       "  (279, 1),\n",
       "  (379, 1),\n",
       "  (482, 1)],\n",
       " [(13, 2), (19, 1), (24, 1), (95, 1), (218, 1), (228, 1), (266, 1), (389, 1)],\n",
       " [(97, 1), (117, 1), (123, 1), (135, 1), (345, 1), (497, 1)],\n",
       " [(7, 1),\n",
       "  (13, 1),\n",
       "  (17, 1),\n",
       "  (23, 1),\n",
       "  (24, 1),\n",
       "  (63, 1),\n",
       "  (95, 1),\n",
       "  (102, 1),\n",
       "  (143, 1),\n",
       "  (175, 1),\n",
       "  (276, 1),\n",
       "  (326, 1),\n",
       "  (419, 1),\n",
       "  (420, 1),\n",
       "  (455, 1),\n",
       "  (468, 1)],\n",
       " [(59, 1),\n",
       "  (80, 1),\n",
       "  (88, 1),\n",
       "  (193, 1),\n",
       "  (220, 1),\n",
       "  (225, 1),\n",
       "  (253, 1),\n",
       "  (290, 1),\n",
       "  (360, 1),\n",
       "  (411, 1),\n",
       "  (479, 1)],\n",
       " [(1, 1), (2, 1), (307, 1)],\n",
       " [(143, 1), (170, 1), (250, 1), (367, 1)],\n",
       " [(54, 1),\n",
       "  (56, 1),\n",
       "  (118, 1),\n",
       "  (139, 1),\n",
       "  (150, 1),\n",
       "  (314, 1),\n",
       "  (387, 1),\n",
       "  (449, 1)],\n",
       " [(13, 1),\n",
       "  (15, 1),\n",
       "  (31, 1),\n",
       "  (56, 1),\n",
       "  (71, 1),\n",
       "  (88, 1),\n",
       "  (193, 1),\n",
       "  (248, 1),\n",
       "  (282, 1),\n",
       "  (302, 1),\n",
       "  (309, 2),\n",
       "  (372, 2),\n",
       "  (496, 1)],\n",
       " [(23, 3),\n",
       "  (27, 1),\n",
       "  (31, 1),\n",
       "  (40, 2),\n",
       "  (72, 1),\n",
       "  (130, 1),\n",
       "  (193, 1),\n",
       "  (197, 1),\n",
       "  (220, 1),\n",
       "  (238, 1),\n",
       "  (245, 1),\n",
       "  (253, 1),\n",
       "  (303, 1),\n",
       "  (363, 1),\n",
       "  (369, 1),\n",
       "  (489, 1),\n",
       "  (503, 1)],\n",
       " [(162, 1), (208, 1)],\n",
       " [(2, 1), (9, 1), (31, 1), (86, 1), (165, 1), (260, 1), (319, 1), (372, 1)],\n",
       " [(7, 2),\n",
       "  (15, 1),\n",
       "  (109, 1),\n",
       "  (156, 1),\n",
       "  (219, 1),\n",
       "  (281, 1),\n",
       "  (292, 1),\n",
       "  (299, 1),\n",
       "  (377, 1),\n",
       "  (396, 1),\n",
       "  (470, 1)],\n",
       " [(41, 1),\n",
       "  (63, 1),\n",
       "  (160, 1),\n",
       "  (208, 1),\n",
       "  (222, 1),\n",
       "  (283, 1),\n",
       "  (315, 1),\n",
       "  (342, 1),\n",
       "  (362, 1),\n",
       "  (363, 1),\n",
       "  (503, 1)],\n",
       " [(2, 1),\n",
       "  (87, 1),\n",
       "  (125, 1),\n",
       "  (131, 1),\n",
       "  (143, 1),\n",
       "  (149, 1),\n",
       "  (186, 1),\n",
       "  (385, 1),\n",
       "  (475, 1)],\n",
       " [(1, 1),\n",
       "  (2, 1),\n",
       "  (7, 1),\n",
       "  (88, 2),\n",
       "  (95, 1),\n",
       "  (108, 1),\n",
       "  (109, 1),\n",
       "  (144, 1),\n",
       "  (158, 1),\n",
       "  (187, 1),\n",
       "  (296, 1),\n",
       "  (297, 1),\n",
       "  (374, 1),\n",
       "  (409, 1),\n",
       "  (419, 1),\n",
       "  (420, 1)],\n",
       " [(52, 1),\n",
       "  (56, 1),\n",
       "  (153, 1),\n",
       "  (305, 1),\n",
       "  (344, 1),\n",
       "  (375, 1),\n",
       "  (418, 1),\n",
       "  (492, 1)],\n",
       " [(0, 2),\n",
       "  (8, 1),\n",
       "  (16, 1),\n",
       "  (17, 1),\n",
       "  (88, 1),\n",
       "  (95, 3),\n",
       "  (108, 2),\n",
       "  (148, 1),\n",
       "  (158, 1),\n",
       "  (346, 1),\n",
       "  (404, 1),\n",
       "  (477, 1)],\n",
       " [(9, 1),\n",
       "  (10, 1),\n",
       "  (17, 1),\n",
       "  (24, 1),\n",
       "  (28, 1),\n",
       "  (43, 1),\n",
       "  (50, 1),\n",
       "  (54, 1),\n",
       "  (95, 1),\n",
       "  (177, 1),\n",
       "  (253, 1),\n",
       "  (291, 1),\n",
       "  (361, 1),\n",
       "  (362, 1),\n",
       "  (429, 1),\n",
       "  (431, 1),\n",
       "  (502, 1)],\n",
       " [(235, 1), (241, 1), (347, 1), (432, 1), (458, 1), (471, 1)],\n",
       " [(13, 1), (27, 1), (120, 1), (402, 1), (482, 1)],\n",
       " [(24, 1), (41, 1), (77, 1), (86, 1), (107, 1), (121, 1), (225, 1), (300, 1)],\n",
       " [(51, 1), (79, 1)],\n",
       " [(2, 1), (162, 1), (165, 1), (311, 1)],\n",
       " [(27, 1), (68, 1), (77, 1), (219, 1), (222, 1), (260, 1)],\n",
       " [(7, 2),\n",
       "  (35, 1),\n",
       "  (108, 1),\n",
       "  (153, 1),\n",
       "  (190, 1),\n",
       "  (201, 1),\n",
       "  (219, 1),\n",
       "  (225, 1),\n",
       "  (240, 1),\n",
       "  (254, 1),\n",
       "  (379, 1),\n",
       "  (473, 1),\n",
       "  (477, 1),\n",
       "  (489, 1)],\n",
       " [(154, 1), (283, 1)],\n",
       " [(200, 1), (228, 1), (272, 1)],\n",
       " [(18, 1),\n",
       "  (20, 1),\n",
       "  (26, 1),\n",
       "  (50, 1),\n",
       "  (219, 1),\n",
       "  (243, 1),\n",
       "  (300, 1),\n",
       "  (431, 1),\n",
       "  (444, 1)],\n",
       " [(56, 2), (270, 2), (274, 1), (312, 1), (313, 1), (340, 2)],\n",
       " [(8, 1), (27, 1), (56, 1), (101, 1), (241, 1), (448, 1)],\n",
       " [(7, 1), (79, 1), (155, 1), (256, 1)],\n",
       " [(1, 1), (29, 1), (42, 1), (471, 1)],\n",
       " [(11, 1),\n",
       "  (17, 1),\n",
       "  (62, 1),\n",
       "  (95, 2),\n",
       "  (108, 1),\n",
       "  (157, 1),\n",
       "  (162, 1),\n",
       "  (174, 1),\n",
       "  (184, 1),\n",
       "  (193, 1),\n",
       "  (218, 1),\n",
       "  (240, 1),\n",
       "  (266, 1),\n",
       "  (276, 1),\n",
       "  (294, 1),\n",
       "  (340, 1),\n",
       "  (403, 1),\n",
       "  (434, 1),\n",
       "  (442, 1),\n",
       "  (476, 1),\n",
       "  (479, 1),\n",
       "  (488, 1)],\n",
       " [(116, 1), (160, 1), (204, 1), (233, 1)],\n",
       " [(69, 1), (75, 1), (83, 1), (141, 1), (229, 1)],\n",
       " [(108, 1), (240, 1), (300, 1), (463, 1)],\n",
       " [(1, 1),\n",
       "  (2, 1),\n",
       "  (21, 1),\n",
       "  (29, 1),\n",
       "  (219, 1),\n",
       "  (238, 1),\n",
       "  (363, 1),\n",
       "  (364, 1),\n",
       "  (366, 1),\n",
       "  (453, 1)],\n",
       " [(11, 1),\n",
       "  (37, 1),\n",
       "  (56, 1),\n",
       "  (95, 1),\n",
       "  (152, 1),\n",
       "  (190, 1),\n",
       "  (233, 1),\n",
       "  (282, 1),\n",
       "  (397, 1),\n",
       "  (441, 1),\n",
       "  (442, 1),\n",
       "  (444, 1)],\n",
       " [(6, 1), (31, 1), (207, 1), (232, 1), (332, 1), (372, 1)],\n",
       " [(7, 1), (59, 1), (154, 1), (184, 1), (218, 1), (337, 1)],\n",
       " [(7, 1), (39, 1), (87, 1), (105, 1), (234, 1), (364, 1), (404, 1)],\n",
       " [(1, 1),\n",
       "  (26, 1),\n",
       "  (29, 1),\n",
       "  (93, 1),\n",
       "  (95, 1),\n",
       "  (108, 3),\n",
       "  (114, 1),\n",
       "  (146, 1),\n",
       "  (159, 1),\n",
       "  (244, 1),\n",
       "  (266, 1),\n",
       "  (281, 1),\n",
       "  (350, 1),\n",
       "  (351, 1)],\n",
       " [(6, 1), (41, 1), (135, 1), (356, 1)],\n",
       " [(6, 1), (55, 1), (75, 1), (108, 1), (189, 1), (242, 1), (250, 1), (355, 1)],\n",
       " [(30, 1), (64, 1), (163, 1), (166, 1), (262, 1), (379, 1), (422, 1)],\n",
       " [(13, 1), (88, 1), (162, 1), (205, 1)],\n",
       " [(1, 2), (2, 1), (56, 1), (147, 1), (364, 1)],\n",
       " [(11, 1), (23, 2), (402, 1), (450, 1), (453, 1)],\n",
       " [(154, 1)],\n",
       " [(66, 1), (259, 1), (265, 1)],\n",
       " [(108, 1), (117, 1), (123, 1), (247, 1), (250, 1), (277, 1)],\n",
       " [(119, 1), (135, 1), (180, 1), (229, 1)],\n",
       " [(13, 2),\n",
       "  (31, 1),\n",
       "  (73, 1),\n",
       "  (130, 1),\n",
       "  (162, 1),\n",
       "  (176, 1),\n",
       "  (197, 1),\n",
       "  (236, 1),\n",
       "  (264, 1),\n",
       "  (265, 1),\n",
       "  (279, 1),\n",
       "  (374, 1),\n",
       "  (385, 1),\n",
       "  (395, 1),\n",
       "  (488, 1)],\n",
       " [(7, 1), (130, 1), (300, 1), (444, 1)],\n",
       " [(7, 1), (10, 1), (83, 1), (198, 1), (322, 1), (340, 1), (422, 1)],\n",
       " [(4, 1), (31, 1), (127, 1), (283, 1), (395, 1), (456, 1)],\n",
       " [(94, 1), (135, 1)],\n",
       " [(23, 1), (92, 1), (232, 1), (387, 1), (412, 1), (454, 1), (473, 1)],\n",
       " [(1, 1), (123, 1), (152, 1), (217, 1), (262, 1), (284, 1), (368, 1)],\n",
       " [(1, 1),\n",
       "  (2, 3),\n",
       "  (31, 1),\n",
       "  (35, 1),\n",
       "  (47, 1),\n",
       "  (51, 2),\n",
       "  (72, 1),\n",
       "  (77, 2),\n",
       "  (80, 1),\n",
       "  (83, 1),\n",
       "  (86, 1),\n",
       "  (87, 1),\n",
       "  (104, 1),\n",
       "  (108, 1),\n",
       "  (120, 1),\n",
       "  (160, 1),\n",
       "  (224, 1),\n",
       "  (233, 1),\n",
       "  (305, 1),\n",
       "  (325, 1),\n",
       "  (390, 1),\n",
       "  (427, 1),\n",
       "  (486, 1)],\n",
       " [(13, 1), (23, 1), (71, 1), (85, 2), (128, 1), (180, 1), (267, 1)],\n",
       " [(10, 1),\n",
       "  (16, 1),\n",
       "  (20, 1),\n",
       "  (28, 1),\n",
       "  (80, 1),\n",
       "  (142, 1),\n",
       "  (178, 1),\n",
       "  (184, 1),\n",
       "  (189, 1)],\n",
       " [(29, 1),\n",
       "  (135, 1),\n",
       "  (179, 1),\n",
       "  (181, 1),\n",
       "  (194, 1),\n",
       "  (204, 1),\n",
       "  (250, 1),\n",
       "  (321, 1),\n",
       "  (488, 1)],\n",
       " [(10, 1), (13, 1), (59, 1), (200, 1)],\n",
       " [(189, 1), (199, 1)],\n",
       " [(108, 1), (229, 1), (335, 1), (406, 1), (491, 1)],\n",
       " [(6, 1), (51, 1), (372, 1)],\n",
       " [(256, 1)],\n",
       " [(228, 1)],\n",
       " [(99, 1)],\n",
       " [(2, 1),\n",
       "  (104, 1),\n",
       "  (122, 1),\n",
       "  (214, 1),\n",
       "  (229, 1),\n",
       "  (236, 1),\n",
       "  (433, 1),\n",
       "  (445, 1),\n",
       "  (461, 1),\n",
       "  (464, 1)],\n",
       " [(120, 1), (278, 1), (331, 1)],\n",
       " [(6, 1), (51, 1)],\n",
       " [(1, 1), (24, 1), (61, 1), (265, 1)],\n",
       " [(101, 1),\n",
       "  (108, 1),\n",
       "  (161, 1),\n",
       "  (219, 1),\n",
       "  (222, 1),\n",
       "  (247, 1),\n",
       "  (267, 1),\n",
       "  (350, 1),\n",
       "  (388, 1)],\n",
       " [(17, 1), (75, 1), (155, 1), (193, 1), (455, 1), (503, 1)],\n",
       " [(7, 1), (63, 1), (138, 1), (156, 1), (223, 1), (263, 1), (274, 1), (284, 1)],\n",
       " [(205, 1), (372, 1), (375, 1), (377, 1)],\n",
       " [(79, 1), (260, 1), (286, 1)],\n",
       " [(199, 1), (241, 1)],\n",
       " [(100, 1),\n",
       "  (147, 1),\n",
       "  (228, 1),\n",
       "  (250, 1),\n",
       "  (277, 1),\n",
       "  (302, 1),\n",
       "  (346, 1),\n",
       "  (459, 1)],\n",
       " [(7, 1), (176, 1), (231, 1)],\n",
       " [(50, 1), (56, 2), (108, 1), (115, 1), (424, 1)],\n",
       " [(1, 1),\n",
       "  (2, 1),\n",
       "  (13, 1),\n",
       "  (24, 1),\n",
       "  (31, 1),\n",
       "  (32, 1),\n",
       "  (75, 1),\n",
       "  (95, 1),\n",
       "  (191, 1),\n",
       "  (303, 1),\n",
       "  (352, 1),\n",
       "  (389, 1)],\n",
       " [],\n",
       " [(29, 1), (59, 1)],\n",
       " [(143, 1), (228, 1)],\n",
       " [(2, 1),\n",
       "  (13, 1),\n",
       "  (26, 1),\n",
       "  (31, 1),\n",
       "  (48, 1),\n",
       "  (50, 1),\n",
       "  (64, 1),\n",
       "  (80, 2),\n",
       "  (108, 1),\n",
       "  (115, 1),\n",
       "  (124, 1),\n",
       "  (199, 1),\n",
       "  (241, 1),\n",
       "  (277, 1),\n",
       "  (294, 1),\n",
       "  (296, 1),\n",
       "  (327, 1),\n",
       "  (341, 1),\n",
       "  (396, 1),\n",
       "  (470, 1)],\n",
       " [(13, 1), (41, 1), (86, 1), (101, 1), (160, 1), (372, 1), (445, 1)],\n",
       " [(13, 1),\n",
       "  (108, 1),\n",
       "  (109, 1),\n",
       "  (156, 1),\n",
       "  (253, 1),\n",
       "  (280, 1),\n",
       "  (294, 1),\n",
       "  (453, 1),\n",
       "  (489, 1)],\n",
       " [(18, 1),\n",
       "  (73, 1),\n",
       "  (75, 1),\n",
       "  (128, 2),\n",
       "  (205, 1),\n",
       "  (302, 1),\n",
       "  (303, 1),\n",
       "  (348, 1),\n",
       "  (492, 1),\n",
       "  (493, 1)],\n",
       " [(7, 2),\n",
       "  (29, 1),\n",
       "  (31, 1),\n",
       "  (65, 1),\n",
       "  (75, 1),\n",
       "  (89, 1),\n",
       "  (97, 1),\n",
       "  (108, 3),\n",
       "  (161, 1),\n",
       "  (193, 1),\n",
       "  (236, 1),\n",
       "  (254, 1),\n",
       "  (258, 2),\n",
       "  (308, 1),\n",
       "  (374, 1),\n",
       "  (490, 1),\n",
       "  (494, 1)],\n",
       " [(93, 1), (152, 1), (156, 1), (282, 1)],\n",
       " [(4, 1), (74, 1), (237, 1), (300, 1), (301, 1), (343, 1), (372, 1), (490, 1)],\n",
       " [(4, 1), (40, 1), (104, 1), (240, 1)],\n",
       " [(6, 1), (27, 1), (55, 1), (355, 1), (367, 1), (406, 1)],\n",
       " [(13, 1),\n",
       "  (23, 1),\n",
       "  (26, 1),\n",
       "  (41, 1),\n",
       "  (43, 1),\n",
       "  (72, 2),\n",
       "  (96, 1),\n",
       "  (185, 1),\n",
       "  (212, 1),\n",
       "  (282, 1),\n",
       "  (342, 1)],\n",
       " [(27, 1), (40, 1), (83, 1), (245, 1), (287, 1), (375, 1), (433, 1)],\n",
       " [(80, 1), (193, 1), (228, 1), (355, 1)],\n",
       " [(75, 1), (93, 1), (352, 1)],\n",
       " [(2, 1),\n",
       "  (31, 1),\n",
       "  (84, 1),\n",
       "  (87, 1),\n",
       "  (126, 1),\n",
       "  (139, 1),\n",
       "  (141, 1),\n",
       "  (252, 1),\n",
       "  (303, 1),\n",
       "  (369, 1),\n",
       "  (394, 1),\n",
       "  (436, 1)],\n",
       " [(56, 2),\n",
       "  (152, 1),\n",
       "  (169, 1),\n",
       "  (205, 1),\n",
       "  (232, 1),\n",
       "  (241, 1),\n",
       "  (320, 1),\n",
       "  (401, 1)],\n",
       " [(0, 2),\n",
       "  (7, 1),\n",
       "  (31, 1),\n",
       "  (54, 1),\n",
       "  (162, 1),\n",
       "  (225, 1),\n",
       "  (303, 1),\n",
       "  (364, 1),\n",
       "  (480, 1)],\n",
       " [(62, 1), (66, 1), (355, 1)],\n",
       " [(23, 1), (256, 1), (443, 1), (504, 1)],\n",
       " [(30, 1),\n",
       "  (38, 1),\n",
       "  (59, 1),\n",
       "  (61, 1),\n",
       "  (80, 1),\n",
       "  (83, 1),\n",
       "  (87, 1),\n",
       "  (88, 1),\n",
       "  (95, 1),\n",
       "  (97, 1),\n",
       "  (99, 1),\n",
       "  (108, 1),\n",
       "  (113, 1),\n",
       "  (130, 1),\n",
       "  (143, 1),\n",
       "  (158, 1),\n",
       "  (159, 1),\n",
       "  (214, 1),\n",
       "  (218, 1),\n",
       "  (228, 1),\n",
       "  (241, 1),\n",
       "  (253, 1),\n",
       "  (276, 1),\n",
       "  (279, 2),\n",
       "  (325, 1),\n",
       "  (355, 1),\n",
       "  (375, 1),\n",
       "  (383, 1),\n",
       "  (389, 1),\n",
       "  (442, 1),\n",
       "  (444, 1),\n",
       "  (484, 1),\n",
       "  (489, 1),\n",
       "  (498, 1),\n",
       "  (499, 1)],\n",
       " [(6, 1), (10, 1), (56, 1)],\n",
       " [(13, 1), (62, 1), (72, 1), (108, 1), (249, 1), (295, 1)],\n",
       " [(11, 1), (23, 1), (56, 1), (109, 1), (190, 1)],\n",
       " [(251, 1)],\n",
       " [(13, 1),\n",
       "  (56, 1),\n",
       "  (123, 1),\n",
       "  (206, 1),\n",
       "  (253, 1),\n",
       "  (317, 1),\n",
       "  (318, 1),\n",
       "  (333, 1),\n",
       "  (337, 1),\n",
       "  (341, 1)],\n",
       " [(7, 1), (250, 1), (274, 1)],\n",
       " [(40, 1), (104, 1), (125, 1), (172, 1), (478, 1)],\n",
       " [(1, 1),\n",
       "  (2, 1),\n",
       "  (24, 1),\n",
       "  (27, 1),\n",
       "  (31, 1),\n",
       "  (221, 1),\n",
       "  (365, 1),\n",
       "  (382, 1),\n",
       "  (406, 1),\n",
       "  (497, 1)],\n",
       " [(29, 1), (101, 1), (162, 1), (225, 1), (373, 1)],\n",
       " [(0, 1), (6, 1), (7, 1)],\n",
       " [(9, 1), (108, 1), (308, 1), (347, 1)],\n",
       " [(56, 1), (498, 1)],\n",
       " [(30, 1),\n",
       "  (75, 1),\n",
       "  (154, 1),\n",
       "  (158, 1),\n",
       "  (205, 1),\n",
       "  (241, 1),\n",
       "  (299, 1),\n",
       "  (300, 1),\n",
       "  (329, 1),\n",
       "  (362, 1),\n",
       "  (392, 1),\n",
       "  (430, 1),\n",
       "  (469, 1),\n",
       "  (494, 1)],\n",
       " [(9, 1),\n",
       "  (27, 1),\n",
       "  (38, 1),\n",
       "  (68, 1),\n",
       "  (78, 1),\n",
       "  (127, 1),\n",
       "  (139, 2),\n",
       "  (202, 1),\n",
       "  (203, 1),\n",
       "  (303, 1),\n",
       "  (383, 1),\n",
       "  (453, 1),\n",
       "  (483, 1),\n",
       "  (489, 1)],\n",
       " [(54, 1), (56, 1), (108, 1), (274, 1), (383, 1)],\n",
       " [(65, 1), (118, 1), (169, 1), (193, 1), (310, 1), (361, 1)],\n",
       " [(130, 1), (280, 1)],\n",
       " [(27, 1), (74, 1), (137, 1), (180, 1)],\n",
       " [(0, 1), (7, 1), (30, 1), (161, 1), (279, 1), (372, 1)],\n",
       " [(84, 1), (130, 1), (158, 1), (415, 1)],\n",
       " [(13, 3), (51, 1), (56, 1), (108, 1), (139, 1), (150, 1), (225, 1), (466, 1)],\n",
       " [(32, 1),\n",
       "  (88, 1),\n",
       "  (91, 1),\n",
       "  (93, 1),\n",
       "  (101, 1),\n",
       "  (143, 1),\n",
       "  (158, 1),\n",
       "  (161, 1),\n",
       "  (197, 1),\n",
       "  (269, 1),\n",
       "  (465, 1),\n",
       "  (467, 1),\n",
       "  (480, 1)],\n",
       " [(73, 1)],\n",
       " [(91, 1), (255, 1), (323, 1)],\n",
       " [(79, 1), (155, 1)],\n",
       " [(0, 1), (23, 1), (31, 1), (56, 1), (301, 1), (302, 2), (386, 1)],\n",
       " [(95, 1), (107, 1), (108, 1), (118, 1), (154, 1), (372, 1), (500, 2)],\n",
       " [(6, 1),\n",
       "  (10, 1),\n",
       "  (34, 1),\n",
       "  (88, 1),\n",
       "  (115, 1),\n",
       "  (131, 1),\n",
       "  (153, 1),\n",
       "  (218, 1),\n",
       "  (241, 1),\n",
       "  (256, 1),\n",
       "  (266, 1),\n",
       "  (268, 1),\n",
       "  (275, 1),\n",
       "  (350, 1),\n",
       "  (391, 2),\n",
       "  (463, 1),\n",
       "  (500, 1)],\n",
       " [(13, 1), (77, 1), (99, 1), (105, 1), (117, 1), (175, 1), (375, 1)],\n",
       " [(2, 1),\n",
       "  (13, 1),\n",
       "  (73, 1),\n",
       "  (88, 1),\n",
       "  (104, 1),\n",
       "  (109, 1),\n",
       "  (112, 1),\n",
       "  (250, 1),\n",
       "  (265, 1),\n",
       "  (404, 1)],\n",
       " [(56, 1), (450, 1)],\n",
       " [(14, 1),\n",
       "  (30, 1),\n",
       "  (31, 1),\n",
       "  (62, 1),\n",
       "  (65, 1),\n",
       "  (72, 1),\n",
       "  (80, 1),\n",
       "  (108, 1),\n",
       "  (124, 1),\n",
       "  (127, 1),\n",
       "  (139, 1),\n",
       "  (158, 1),\n",
       "  (206, 1),\n",
       "  (209, 1),\n",
       "  (216, 1),\n",
       "  (217, 1),\n",
       "  (236, 2),\n",
       "  (238, 1),\n",
       "  (264, 1),\n",
       "  (318, 1),\n",
       "  (319, 1),\n",
       "  (337, 1),\n",
       "  (446, 1),\n",
       "  (449, 1),\n",
       "  (489, 1)],\n",
       " [(1, 1),\n",
       "  (11, 1),\n",
       "  (30, 1),\n",
       "  (31, 1),\n",
       "  (73, 1),\n",
       "  (108, 1),\n",
       "  (109, 1),\n",
       "  (198, 1),\n",
       "  (215, 1),\n",
       "  (265, 1),\n",
       "  (266, 1),\n",
       "  (273, 1),\n",
       "  (309, 1),\n",
       "  (339, 1),\n",
       "  (348, 1),\n",
       "  (359, 1),\n",
       "  (375, 1),\n",
       "  (437, 1)],\n",
       " [(300, 1)],\n",
       " [(335, 1)],\n",
       " [(6, 1), (8, 1), (80, 1), (157, 1), (215, 1)],\n",
       " [(143, 1), (175, 1), (278, 1), (306, 1), (325, 1), (338, 1)],\n",
       " [(2, 1), (13, 1), (97, 1), (162, 1), (175, 1), (236, 1), (399, 1)],\n",
       " [(7, 1), (13, 1), (17, 1), (67, 2), (109, 1), (112, 1), (124, 1), (279, 1)],\n",
       " [(2, 1),\n",
       "  (13, 1),\n",
       "  (20, 1),\n",
       "  (24, 1),\n",
       "  (31, 1),\n",
       "  (47, 1),\n",
       "  (55, 1),\n",
       "  (68, 1),\n",
       "  (120, 1),\n",
       "  (124, 1),\n",
       "  (169, 1),\n",
       "  (231, 1)],\n",
       " [(38, 1),\n",
       "  (52, 1),\n",
       "  (72, 1),\n",
       "  (118, 1),\n",
       "  (130, 1),\n",
       "  (254, 1),\n",
       "  (302, 1),\n",
       "  (376, 1),\n",
       "  (402, 1),\n",
       "  (495, 1)],\n",
       " [(2, 1), (23, 1), (117, 1), (165, 1), (218, 1), (260, 1), (365, 1), (497, 1)],\n",
       " [(1, 1),\n",
       "  (2, 1),\n",
       "  (13, 2),\n",
       "  (31, 1),\n",
       "  (47, 1),\n",
       "  (72, 1),\n",
       "  (73, 2),\n",
       "  (86, 1),\n",
       "  (93, 1),\n",
       "  (144, 1),\n",
       "  (189, 1),\n",
       "  (228, 1),\n",
       "  (236, 1),\n",
       "  (272, 1),\n",
       "  (306, 1),\n",
       "  (338, 1),\n",
       "  (345, 1),\n",
       "  (406, 1),\n",
       "  (438, 1),\n",
       "  (478, 1)],\n",
       " [(7, 1), (124, 1), (430, 1)],\n",
       " [(5, 1),\n",
       "  (11, 1),\n",
       "  (97, 1),\n",
       "  (123, 1),\n",
       "  (156, 2),\n",
       "  (189, 1),\n",
       "  (215, 1),\n",
       "  (239, 1),\n",
       "  (263, 1),\n",
       "  (266, 1),\n",
       "  (274, 1),\n",
       "  (304, 1),\n",
       "  (331, 1)],\n",
       " [(42, 1), (203, 1), (260, 1), (320, 1)],\n",
       " [(116, 1), (128, 1), (154, 1), (203, 1)],\n",
       " [(19, 1), (24, 1), (92, 1), (95, 1), (267, 1), (362, 1), (389, 1)],\n",
       " [(7, 1),\n",
       "  (14, 1),\n",
       "  (31, 2),\n",
       "  (33, 1),\n",
       "  (45, 1),\n",
       "  (48, 1),\n",
       "  (51, 1),\n",
       "  (59, 2),\n",
       "  (69, 1),\n",
       "  (71, 1),\n",
       "  (83, 1),\n",
       "  (89, 1),\n",
       "  (100, 1),\n",
       "  (121, 1),\n",
       "  (141, 1),\n",
       "  (172, 1),\n",
       "  (203, 1),\n",
       "  (225, 1),\n",
       "  (232, 1),\n",
       "  (237, 1),\n",
       "  (250, 1),\n",
       "  (261, 1),\n",
       "  (266, 1),\n",
       "  (267, 1),\n",
       "  (308, 1),\n",
       "  (347, 2),\n",
       "  (369, 1),\n",
       "  (394, 1),\n",
       "  (460, 1),\n",
       "  (461, 1),\n",
       "  (491, 1)],\n",
       " [(6, 1), (50, 1), (163, 1), (166, 1), (257, 1), (292, 1)],\n",
       " [(13, 1), (125, 1), (220, 1)],\n",
       " [(2, 1), (68, 1), (82, 1), (307, 1), (362, 1)],\n",
       " [(73, 1), (89, 1), (298, 1), (339, 1)],\n",
       " [(40, 1), (80, 1), (478, 1)],\n",
       " [(31, 1), (97, 1), (103, 1), (499, 2)],\n",
       " [(103, 1), (109, 1), (381, 1), (472, 1)],\n",
       " [(13, 1), (20, 1), (52, 1), (108, 1), (218, 1), (254, 2), (279, 1), (431, 2)],\n",
       " [(44, 1), (75, 1), (86, 1), (161, 1), (445, 1)],\n",
       " [(27, 1),\n",
       "  (75, 1),\n",
       "  (107, 1),\n",
       "  (148, 1),\n",
       "  (160, 1),\n",
       "  (266, 1),\n",
       "  (300, 1),\n",
       "  (329, 1),\n",
       "  (348, 1),\n",
       "  (429, 1)],\n",
       " [(1, 1), (2, 1), (21, 1), (25, 1)],\n",
       " [(6, 1), (40, 1), (44, 1), (120, 1), (306, 1), (334, 1)],\n",
       " [(5, 1), (30, 1), (163, 1), (169, 1), (209, 1), (388, 1)],\n",
       " [(436, 1)],\n",
       " [(9, 1),\n",
       "  (40, 1),\n",
       "  (56, 1),\n",
       "  (108, 1),\n",
       "  (161, 1),\n",
       "  (205, 1),\n",
       "  (309, 1),\n",
       "  (421, 1),\n",
       "  (456, 1),\n",
       "  (478, 1),\n",
       "  (487, 1),\n",
       "  (496, 1),\n",
       "  (499, 1)],\n",
       " [(1, 1), (2, 1), (63, 1), (75, 1), (434, 1)],\n",
       " [(2, 1), (233, 1), (237, 1), (277, 1), (355, 1), (375, 1), (458, 1)],\n",
       " [(31, 1), (47, 1), (72, 1), (335, 1)],\n",
       " [(2, 1), (38, 1), (125, 1), (254, 1), (256, 1), (343, 2), (344, 1), (459, 1)],\n",
       " [(4, 1),\n",
       "  (112, 1),\n",
       "  (139, 1),\n",
       "  (148, 1),\n",
       "  (205, 1),\n",
       "  (300, 1),\n",
       "  (328, 1),\n",
       "  (392, 1),\n",
       "  (415, 3),\n",
       "  (469, 1),\n",
       "  (489, 1)],\n",
       " [(2, 1), (93, 1), (101, 1), (117, 1), (175, 1), (250, 1), (279, 1)],\n",
       " [(52, 1), (152, 1), (342, 1)],\n",
       " [(13, 1), (19, 1), (27, 1), (87, 1), (92, 1), (95, 1), (189, 1)],\n",
       " [(5, 1),\n",
       "  (10, 1),\n",
       "  (13, 1),\n",
       "  (17, 1),\n",
       "  (43, 1),\n",
       "  (59, 1),\n",
       "  (72, 1),\n",
       "  (87, 1),\n",
       "  (92, 1),\n",
       "  (108, 1),\n",
       "  (111, 2),\n",
       "  (149, 1),\n",
       "  (194, 1),\n",
       "  (236, 2),\n",
       "  (244, 1),\n",
       "  (253, 1),\n",
       "  (254, 1),\n",
       "  (292, 1),\n",
       "  (316, 1),\n",
       "  (320, 1),\n",
       "  (327, 1),\n",
       "  (338, 1),\n",
       "  (340, 1),\n",
       "  (351, 1),\n",
       "  (370, 1),\n",
       "  (485, 1)],\n",
       " [(7, 1),\n",
       "  (128, 2),\n",
       "  (155, 2),\n",
       "  (160, 1),\n",
       "  (174, 1),\n",
       "  (203, 1),\n",
       "  (253, 1),\n",
       "  (294, 1),\n",
       "  (308, 1)],\n",
       " [(2, 1), (26, 1), (27, 1), (83, 1), (399, 1)],\n",
       " [(406, 1), (429, 1)],\n",
       " [(39, 1), (41, 1), (130, 2), (188, 1)],\n",
       " [(73, 1), (250, 1), (275, 1), (277, 1), (491, 1), (499, 1)],\n",
       " [(13, 1),\n",
       "  (40, 1),\n",
       "  (73, 1),\n",
       "  (119, 1),\n",
       "  (134, 1),\n",
       "  (154, 1),\n",
       "  (155, 1),\n",
       "  (205, 1),\n",
       "  (241, 1),\n",
       "  (245, 2),\n",
       "  (261, 1),\n",
       "  (304, 1),\n",
       "  (327, 1),\n",
       "  (341, 1),\n",
       "  (346, 1),\n",
       "  (396, 1),\n",
       "  (451, 1),\n",
       "  (504, 1)],\n",
       " [(13, 1),\n",
       "  (108, 1),\n",
       "  (109, 1),\n",
       "  (197, 1),\n",
       "  (239, 1),\n",
       "  (247, 1),\n",
       "  (388, 1),\n",
       "  (389, 1)],\n",
       " [(228, 1), (367, 1)],\n",
       " [(153, 1), (155, 1), (298, 1), (360, 1), (364, 1), (372, 1)],\n",
       " [(23, 1), (108, 1), (340, 2), (413, 1), (441, 1)],\n",
       " [(11, 1), (56, 1), (93, 1), (98, 1), (136, 1), (183, 1), (358, 1), (450, 1)],\n",
       " [(73, 1), (100, 1), (143, 1)],\n",
       " [(75, 1), (305, 1), (439, 1)],\n",
       " [(0, 1), (62, 1), (323, 1)],\n",
       " [(108, 1), (109, 1), (115, 1), (177, 1), (432, 1)],\n",
       " [(27, 1), (77, 1), (78, 1), (187, 1), (411, 1), (465, 1)],\n",
       " [(129, 1), (323, 1)],\n",
       " [(68, 1), (95, 1), (353, 1), (388, 1)],\n",
       " [(73, 1),\n",
       "  (99, 1),\n",
       "  (106, 1),\n",
       "  (168, 1),\n",
       "  (261, 1),\n",
       "  (303, 1),\n",
       "  (364, 1),\n",
       "  (372, 1)],\n",
       " [(24, 1), (51, 1), (462, 1)],\n",
       " [(31, 1), (47, 1), (72, 1), (298, 1)],\n",
       " [(7, 1),\n",
       "  (29, 1),\n",
       "  (45, 1),\n",
       "  (49, 1),\n",
       "  (108, 2),\n",
       "  (139, 1),\n",
       "  (141, 1),\n",
       "  (148, 2),\n",
       "  (156, 1),\n",
       "  (371, 2),\n",
       "  (372, 1),\n",
       "  (414, 1),\n",
       "  (432, 1),\n",
       "  (463, 1),\n",
       "  (464, 1)],\n",
       " [(31, 1), (59, 1), (83, 1), (157, 1), (175, 1), (219, 1), (236, 1), (412, 1)],\n",
       " [(0, 2),\n",
       "  (6, 1),\n",
       "  (21, 1),\n",
       "  (25, 1),\n",
       "  (31, 1),\n",
       "  (32, 1),\n",
       "  (51, 1),\n",
       "  (97, 1),\n",
       "  (250, 1),\n",
       "  (277, 1),\n",
       "  (439, 1)],\n",
       " [(20, 1),\n",
       "  (22, 1),\n",
       "  (32, 1),\n",
       "  (72, 1),\n",
       "  (73, 1),\n",
       "  (93, 1),\n",
       "  (97, 1),\n",
       "  (108, 1),\n",
       "  (122, 1),\n",
       "  (150, 1),\n",
       "  (154, 1),\n",
       "  (218, 1),\n",
       "  (241, 1),\n",
       "  (262, 1),\n",
       "  (298, 2),\n",
       "  (333, 1),\n",
       "  (367, 1),\n",
       "  (479, 1)],\n",
       " [(110, 1), (130, 1), (271, 1), (309, 1), (336, 1)],\n",
       " [(54, 1), (75, 2), (93, 1), (175, 1), (323, 2), (435, 1), (438, 1), (452, 1)],\n",
       " [(13, 1), (31, 1)],\n",
       " [(10, 1),\n",
       "  (24, 1),\n",
       "  (83, 1),\n",
       "  (140, 1),\n",
       "  (144, 1),\n",
       "  (150, 1),\n",
       "  (164, 1),\n",
       "  (274, 1),\n",
       "  (323, 1),\n",
       "  (425, 1)],\n",
       " [(13, 1), (173, 1), (194, 1)],\n",
       " [(7, 1), (240, 1), (303, 1), (391, 1)],\n",
       " [(61, 1), (90, 2), (109, 1), (131, 1)],\n",
       " [(32, 1),\n",
       "  (56, 1),\n",
       "  (175, 1),\n",
       "  (208, 1),\n",
       "  (315, 1),\n",
       "  (319, 1),\n",
       "  (356, 1),\n",
       "  (359, 1)],\n",
       " [(50, 1),\n",
       "  (54, 1),\n",
       "  (87, 1),\n",
       "  (88, 2),\n",
       "  (128, 1),\n",
       "  (184, 1),\n",
       "  (193, 1),\n",
       "  (208, 2),\n",
       "  (320, 1),\n",
       "  (327, 1),\n",
       "  (396, 1),\n",
       "  (424, 1),\n",
       "  (445, 1),\n",
       "  (497, 1)],\n",
       " [(6, 1),\n",
       "  (24, 1),\n",
       "  (29, 1),\n",
       "  (32, 1),\n",
       "  (76, 1),\n",
       "  (106, 1),\n",
       "  (232, 1),\n",
       "  (325, 1),\n",
       "  (466, 1)],\n",
       " [(17, 1), (169, 1), (205, 1), (364, 1), (395, 1)],\n",
       " [(2, 1),\n",
       "  (3, 2),\n",
       "  (30, 1),\n",
       "  (50, 1),\n",
       "  (65, 1),\n",
       "  (102, 1),\n",
       "  (108, 1),\n",
       "  (109, 1),\n",
       "  (193, 1),\n",
       "  (195, 1),\n",
       "  (209, 1),\n",
       "  (325, 1),\n",
       "  (344, 1)],\n",
       " [(0, 1), (27, 1), (58, 1), (86, 1), (90, 1), (203, 1)],\n",
       " [(83, 1), (123, 1), (162, 1), (255, 2), (369, 1)],\n",
       " [(27, 1), (128, 1), (428, 1)],\n",
       " [(6, 2), (111, 1), (122, 2), (322, 1), (421, 1)],\n",
       " [(13, 1),\n",
       "  (30, 1),\n",
       "  (93, 1),\n",
       "  (148, 1),\n",
       "  (214, 1),\n",
       "  (219, 1),\n",
       "  (222, 1),\n",
       "  (240, 1),\n",
       "  (249, 1),\n",
       "  (397, 1)],\n",
       " [(65, 1), (77, 1), (139, 1), (154, 1), (165, 1), (380, 1)],\n",
       " [(15, 1), (46, 1), (120, 1), (192, 1), (260, 2), (320, 1), (447, 1)],\n",
       " [(2, 1),\n",
       "  (13, 1),\n",
       "  (29, 1),\n",
       "  (31, 1),\n",
       "  (40, 1),\n",
       "  (44, 1),\n",
       "  (103, 1),\n",
       "  (189, 1),\n",
       "  (274, 1),\n",
       "  (382, 1)],\n",
       " [(0, 1),\n",
       "  (1, 1),\n",
       "  (2, 1),\n",
       "  (13, 1),\n",
       "  (38, 1),\n",
       "  (52, 1),\n",
       "  (91, 1),\n",
       "  (121, 1),\n",
       "  (200, 1),\n",
       "  (202, 1),\n",
       "  (225, 1),\n",
       "  (261, 1),\n",
       "  (306, 1),\n",
       "  (334, 1),\n",
       "  (340, 1),\n",
       "  (342, 1)],\n",
       " [(0, 1), (29, 1), (273, 1), (340, 1), (355, 1), (363, 1), (366, 1)],\n",
       " [(31, 1), (54, 1), (91, 1), (258, 1), (352, 1), (452, 1), (482, 1)],\n",
       " [(13, 2),\n",
       "  (38, 1),\n",
       "  (57, 1),\n",
       "  (67, 1),\n",
       "  (108, 1),\n",
       "  (166, 1),\n",
       "  (189, 1),\n",
       "  (239, 1),\n",
       "  (350, 1),\n",
       "  (487, 1)],\n",
       " [(23, 1),\n",
       "  (36, 1),\n",
       "  (58, 1),\n",
       "  (76, 1),\n",
       "  (79, 1),\n",
       "  (89, 1),\n",
       "  (108, 1),\n",
       "  (130, 1),\n",
       "  (279, 1),\n",
       "  (303, 1),\n",
       "  (356, 1),\n",
       "  (496, 1),\n",
       "  (503, 1)],\n",
       " [(2, 1),\n",
       "  (8, 1),\n",
       "  (12, 2),\n",
       "  (13, 2),\n",
       "  (15, 1),\n",
       "  (16, 1),\n",
       "  (50, 2),\n",
       "  (58, 2),\n",
       "  (73, 2),\n",
       "  (80, 3),\n",
       "  (86, 1),\n",
       "  (88, 1),\n",
       "  (108, 2),\n",
       "  (150, 1),\n",
       "  (158, 1),\n",
       "  (223, 1),\n",
       "  (230, 1),\n",
       "  (236, 1),\n",
       "  (241, 1),\n",
       "  (261, 1),\n",
       "  (281, 1),\n",
       "  (292, 1),\n",
       "  (295, 1),\n",
       "  (309, 1),\n",
       "  (312, 2),\n",
       "  (319, 1),\n",
       "  (368, 1),\n",
       "  (379, 1),\n",
       "  (386, 1),\n",
       "  (396, 1),\n",
       "  (420, 1),\n",
       "  (421, 1),\n",
       "  (424, 1),\n",
       "  (448, 1),\n",
       "  (470, 1),\n",
       "  (471, 2),\n",
       "  (476, 1),\n",
       "  (477, 1),\n",
       "  (489, 1),\n",
       "  (491, 1),\n",
       "  (494, 1)],\n",
       " [(26, 1), (412, 1)],\n",
       " [(6, 1),\n",
       "  (13, 1),\n",
       "  (48, 1),\n",
       "  (88, 1),\n",
       "  (194, 1),\n",
       "  (228, 1),\n",
       "  (241, 1),\n",
       "  (256, 1),\n",
       "  (355, 1),\n",
       "  (367, 1)],\n",
       " [(52, 1), (79, 1), (141, 1), (183, 1), (240, 1), (261, 1)],\n",
       " [(11, 1), (72, 1), (108, 1), (123, 1), (431, 1), (456, 1)],\n",
       " [(75, 1),\n",
       "  (147, 1),\n",
       "  (175, 1),\n",
       "  (205, 1),\n",
       "  (225, 1),\n",
       "  (226, 1),\n",
       "  (258, 1),\n",
       "  (300, 2),\n",
       "  (340, 1),\n",
       "  (454, 1)],\n",
       " [(10, 1),\n",
       "  (23, 1),\n",
       "  (31, 1),\n",
       "  (45, 1),\n",
       "  (57, 1),\n",
       "  (120, 1),\n",
       "  (137, 1),\n",
       "  (140, 1),\n",
       "  (306, 1),\n",
       "  (308, 1),\n",
       "  (341, 1),\n",
       "  (362, 1),\n",
       "  (422, 1)],\n",
       " [(134, 1), (482, 1)],\n",
       " [(21, 1),\n",
       "  (27, 1),\n",
       "  (86, 1),\n",
       "  (139, 1),\n",
       "  (148, 1),\n",
       "  (180, 1),\n",
       "  (197, 1),\n",
       "  (232, 1),\n",
       "  (323, 1)],\n",
       " [(7, 1),\n",
       "  (26, 1),\n",
       "  (49, 1),\n",
       "  (84, 1),\n",
       "  (93, 1),\n",
       "  (96, 1),\n",
       "  (149, 1),\n",
       "  (200, 1),\n",
       "  (241, 1),\n",
       "  (260, 1),\n",
       "  (262, 1),\n",
       "  (283, 1),\n",
       "  (298, 2),\n",
       "  (342, 1),\n",
       "  (355, 1),\n",
       "  (372, 1),\n",
       "  (415, 1),\n",
       "  (463, 1)],\n",
       " [(130, 2),\n",
       "  (300, 3),\n",
       "  (301, 1),\n",
       "  (394, 1),\n",
       "  (402, 2),\n",
       "  (414, 1),\n",
       "  (415, 1),\n",
       "  (430, 1)],\n",
       " [(1, 1),\n",
       "  (2, 1),\n",
       "  (6, 1),\n",
       "  (96, 1),\n",
       "  (152, 1),\n",
       "  (323, 2),\n",
       "  (355, 1),\n",
       "  (356, 1),\n",
       "  (379, 1),\n",
       "  (423, 1),\n",
       "  (476, 1)],\n",
       " [(51, 1),\n",
       "  (155, 1),\n",
       "  (195, 1),\n",
       "  (224, 1),\n",
       "  (254, 1),\n",
       "  (301, 1),\n",
       "  (327, 1),\n",
       "  (332, 2),\n",
       "  (362, 1),\n",
       "  (392, 1),\n",
       "  (502, 1),\n",
       "  (504, 1)],\n",
       " [(0, 1),\n",
       "  (26, 1),\n",
       "  (40, 1),\n",
       "  (74, 1),\n",
       "  (75, 1),\n",
       "  (93, 1),\n",
       "  (101, 1),\n",
       "  (149, 2),\n",
       "  (202, 2),\n",
       "  (237, 1),\n",
       "  (283, 1),\n",
       "  (339, 1),\n",
       "  (355, 1),\n",
       "  (406, 1),\n",
       "  (435, 1),\n",
       "  (454, 1),\n",
       "  (467, 1),\n",
       "  (486, 1)],\n",
       " [(181, 1), (236, 1), (242, 1), (250, 1), (355, 1), (367, 1)],\n",
       " [(65, 1),\n",
       "  (98, 1),\n",
       "  (269, 1),\n",
       "  (270, 1),\n",
       "  (278, 1),\n",
       "  (358, 1),\n",
       "  (367, 1),\n",
       "  (381, 1)],\n",
       " [(10, 1), (60, 1), (68, 1), (142, 1), (322, 1), (372, 1), (379, 1), (501, 1)],\n",
       " [(6, 1), (32, 1), (51, 1), (161, 1), (303, 1), (372, 1), (466, 1)],\n",
       " [(162, 1), (199, 1), (385, 1), (403, 1), (460, 1), (462, 1)],\n",
       " [(17, 1), (27, 1), (132, 1), (180, 2), (314, 1), (371, 1), (418, 1)],\n",
       " [(27, 1), (123, 1), (406, 1)],\n",
       " [(5, 1), (30, 1), (56, 1), (57, 1), (126, 1)],\n",
       " [(77, 1), (259, 1), (445, 1), (491, 1)],\n",
       " [(23, 1), (40, 1), (143, 1), (228, 1), (367, 1)],\n",
       " [(14, 1), (138, 1), (250, 1), (311, 1), (333, 1), (390, 1)],\n",
       " [(69, 1), (85, 1), (94, 1), (208, 1), (315, 1)],\n",
       " [(0, 2), (97, 1), (117, 1)],\n",
       " [(22, 1), (29, 1), (51, 1), (108, 1), (109, 1), (143, 1), (163, 1), (175, 1)],\n",
       " [(46, 1), (144, 1), (157, 1), (379, 1)],\n",
       " [(6, 1), (148, 1)],\n",
       " [(2, 1),\n",
       "  (17, 1),\n",
       "  (152, 1),\n",
       "  (184, 1),\n",
       "  (236, 1),\n",
       "  (301, 1),\n",
       "  (311, 1),\n",
       "  (322, 1),\n",
       "  (497, 1)],\n",
       " [(13, 1),\n",
       "  (51, 1),\n",
       "  (88, 1),\n",
       "  (89, 1),\n",
       "  (155, 1),\n",
       "  (168, 1),\n",
       "  (224, 1),\n",
       "  (225, 2),\n",
       "  (240, 2),\n",
       "  (251, 1),\n",
       "  (254, 1),\n",
       "  (256, 1),\n",
       "  (299, 1),\n",
       "  (300, 1),\n",
       "  (302, 1),\n",
       "  (305, 1),\n",
       "  (378, 1),\n",
       "  (444, 2),\n",
       "  (457, 1),\n",
       "  (469, 1),\n",
       "  (495, 2)],\n",
       " [(232, 1)],\n",
       " [(1, 1),\n",
       "  (2, 1),\n",
       "  (3, 1),\n",
       "  (75, 1),\n",
       "  (128, 1),\n",
       "  (259, 1),\n",
       "  (352, 1),\n",
       "  (433, 1),\n",
       "  (434, 1)],\n",
       " [(2, 1),\n",
       "  (13, 1),\n",
       "  (15, 1),\n",
       "  (183, 1),\n",
       "  (200, 1),\n",
       "  (206, 1),\n",
       "  (357, 1),\n",
       "  (399, 1),\n",
       "  (495, 1)],\n",
       " [(189, 1), (294, 1), (367, 1)],\n",
       " [(31, 1), (273, 1), (364, 1)],\n",
       " [(5, 1), (10, 1), (95, 1), (109, 1), (302, 1), (333, 1), (379, 1), (474, 1)],\n",
       " [(87, 1), (329, 1), (430, 1), (495, 1)],\n",
       " [(115, 2), (239, 1), (484, 1)],\n",
       " [(13, 1),\n",
       "  (43, 1),\n",
       "  (79, 1),\n",
       "  (130, 2),\n",
       "  (150, 1),\n",
       "  (233, 1),\n",
       "  (300, 1),\n",
       "  (302, 1),\n",
       "  (311, 1),\n",
       "  (324, 1),\n",
       "  (402, 2)],\n",
       " [(115, 1), (151, 1), (241, 1), (265, 1)],\n",
       " [(23, 1), (57, 1), (86, 1), (93, 1), (120, 1), (197, 1), (355, 1), (434, 1)],\n",
       " [(85, 1), (108, 1), (203, 1), (489, 1)],\n",
       " [(95, 1)],\n",
       " [(2, 1), (165, 1), (194, 1), (218, 2), (347, 1)],\n",
       " [(11, 1),\n",
       "  (23, 1),\n",
       "  (31, 1),\n",
       "  (47, 1),\n",
       "  (58, 1),\n",
       "  (66, 1),\n",
       "  (85, 1),\n",
       "  (134, 1),\n",
       "  (184, 1),\n",
       "  (256, 1),\n",
       "  (397, 1)],\n",
       " [(101, 1), (175, 1), (196, 1), (370, 1), (372, 1), (385, 1)],\n",
       " [(45, 1),\n",
       "  (56, 1),\n",
       "  (130, 1),\n",
       "  (301, 1),\n",
       "  (302, 1),\n",
       "  (343, 1),\n",
       "  (392, 1),\n",
       "  (393, 1)],\n",
       " [(73, 1), (493, 1)],\n",
       " [(32, 1),\n",
       "  (52, 1),\n",
       "  (58, 1),\n",
       "  (88, 1),\n",
       "  (158, 1),\n",
       "  (169, 1),\n",
       "  (231, 1),\n",
       "  (266, 1),\n",
       "  (292, 1),\n",
       "  (300, 1),\n",
       "  (338, 1),\n",
       "  (398, 1),\n",
       "  (437, 1),\n",
       "  (494, 1)],\n",
       " [(9, 1),\n",
       "  (51, 1),\n",
       "  (56, 1),\n",
       "  (88, 1),\n",
       "  (149, 1),\n",
       "  (169, 1),\n",
       "  (225, 1),\n",
       "  (380, 1),\n",
       "  (413, 1)],\n",
       " [(75, 1), (352, 1)],\n",
       " [(1, 1), (2, 1), (97, 1), (343, 1)],\n",
       " [(208, 1), (315, 1)],\n",
       " [(2, 1), (32, 1), (73, 1), (175, 1), (201, 1)],\n",
       " [(0, 1), (13, 1), (123, 1), (471, 1)],\n",
       " [(56, 1), (229, 1)],\n",
       " [(44, 1), (53, 1), (65, 1), (85, 1), (481, 1)],\n",
       " [(73, 1), (175, 1), (281, 1), (312, 1)],\n",
       " [(132, 1), (162, 1), (277, 1), (286, 1), (324, 1)],\n",
       " [(80, 1), (229, 1)],\n",
       " [(56, 1), (121, 1), (225, 1), (270, 1)],\n",
       " [(2, 1),\n",
       "  (7, 1),\n",
       "  (107, 1),\n",
       "  (115, 1),\n",
       "  (123, 1),\n",
       "  (130, 1),\n",
       "  (196, 1),\n",
       "  (197, 1),\n",
       "  (229, 1),\n",
       "  (241, 1)],\n",
       " [(11, 1),\n",
       "  (12, 1),\n",
       "  (36, 1),\n",
       "  (51, 1),\n",
       "  (56, 1),\n",
       "  (109, 1),\n",
       "  (139, 1),\n",
       "  (150, 1),\n",
       "  (195, 1),\n",
       "  (332, 1),\n",
       "  (378, 1),\n",
       "  (486, 1),\n",
       "  (502, 1)],\n",
       " [(5, 1), (8, 1), (13, 1), (72, 1), (100, 1), (123, 1), (224, 1)],\n",
       " [(41, 1), (43, 1), (72, 1), (108, 1), (280, 1), (430, 2)],\n",
       " [(24, 1), (49, 1), (139, 2), (206, 1), (236, 1), (303, 1), (326, 1)],\n",
       " [(65, 1), (240, 1), (473, 1)],\n",
       " [(56, 1), (94, 1), (123, 1), (151, 1), (173, 1), (241, 1), (448, 1)],\n",
       " [(35, 1),\n",
       "  (154, 1),\n",
       "  (205, 1),\n",
       "  (279, 1),\n",
       "  (302, 1),\n",
       "  (360, 1),\n",
       "  (492, 1),\n",
       "  (493, 1)],\n",
       " [(7, 1), (41, 1), (385, 1)],\n",
       " [(23, 2),\n",
       "  (118, 1),\n",
       "  (153, 1),\n",
       "  (201, 1),\n",
       "  (251, 1),\n",
       "  (254, 1),\n",
       "  (360, 2),\n",
       "  (392, 2),\n",
       "  (457, 1)],\n",
       " [(372, 1)],\n",
       " [(86, 1), (197, 1), (202, 1), (383, 1)],\n",
       " [(26, 1), (119, 1), (194, 1), (223, 1), (243, 1), (320, 1), (349, 1)],\n",
       " [(27, 1), (152, 1), (362, 1)],\n",
       " [(1, 1), (2, 1), (6, 1), (7, 1), (27, 1), (54, 1), (355, 1), (435, 1)],\n",
       " [(2, 1), (73, 1), (118, 1), (165, 1), (193, 1), (208, 1)],\n",
       " [(130, 1)],\n",
       " [(13, 2),\n",
       "  (21, 1),\n",
       "  (23, 1),\n",
       "  (35, 1),\n",
       "  (38, 1),\n",
       "  (54, 2),\n",
       "  (73, 3),\n",
       "  (79, 1),\n",
       "  (83, 1),\n",
       "  (101, 1),\n",
       "  (197, 1),\n",
       "  (202, 2),\n",
       "  (297, 1),\n",
       "  (320, 1),\n",
       "  (425, 1),\n",
       "  (452, 1)],\n",
       " [(13, 1),\n",
       "  (17, 1),\n",
       "  (88, 1),\n",
       "  (108, 2),\n",
       "  (139, 2),\n",
       "  (143, 1),\n",
       "  (184, 1),\n",
       "  (228, 1),\n",
       "  (249, 1),\n",
       "  (477, 1),\n",
       "  (483, 1)],\n",
       " [(20, 1), (31, 1), (108, 1), (126, 1), (243, 1), (291, 1), (370, 1)],\n",
       " [(2, 1), (110, 1), (165, 1), (179, 1)],\n",
       " [(40, 1),\n",
       "  (73, 1),\n",
       "  (100, 1),\n",
       "  (101, 1),\n",
       "  (229, 1),\n",
       "  (236, 1),\n",
       "  (250, 1),\n",
       "  (287, 1),\n",
       "  (367, 1),\n",
       "  (475, 1)],\n",
       " [(43, 1), (64, 1), (194, 1), (269, 1)],\n",
       " [(160, 1), (300, 1), (329, 1)],\n",
       " [(31, 1), (63, 1)],\n",
       " [(1, 1), (2, 1), (31, 1), (354, 1), (382, 1), (404, 1)],\n",
       " [(6, 1),\n",
       "  (108, 1),\n",
       "  (139, 1),\n",
       "  (167, 1),\n",
       "  (254, 1),\n",
       "  (256, 1),\n",
       "  (267, 2),\n",
       "  (322, 1),\n",
       "  (324, 1),\n",
       "  (337, 1),\n",
       "  (384, 1),\n",
       "  (500, 2)],\n",
       " [(2, 1), (29, 1), (68, 1), (80, 1), (175, 1), (250, 1), (373, 1), (457, 1)],\n",
       " [(99, 1), (317, 1), (343, 1)],\n",
       " [(21, 2),\n",
       "  (56, 2),\n",
       "  (87, 1),\n",
       "  (130, 1),\n",
       "  (132, 1),\n",
       "  (171, 1),\n",
       "  (271, 1),\n",
       "  (283, 1),\n",
       "  (289, 1),\n",
       "  (291, 1),\n",
       "  (303, 1),\n",
       "  (328, 1),\n",
       "  (333, 2),\n",
       "  (377, 1),\n",
       "  (444, 1),\n",
       "  (472, 1),\n",
       "  (473, 1),\n",
       "  (489, 1),\n",
       "  (501, 1)],\n",
       " [(31, 1), (63, 1), (80, 1), (160, 1), (303, 1)],\n",
       " [(6, 1), (7, 1), (130, 1), (148, 1), (230, 1), (269, 1), (320, 1)],\n",
       " [(10, 1),\n",
       "  (24, 1),\n",
       "  (30, 1),\n",
       "  (56, 1),\n",
       "  (96, 1),\n",
       "  (296, 1),\n",
       "  (297, 1),\n",
       "  (332, 1),\n",
       "  (418, 1),\n",
       "  (486, 1),\n",
       "  (490, 1)],\n",
       " [(160, 1), (430, 1)],\n",
       " [(10, 1), (24, 1), (73, 1), (75, 1), (94, 1), (401, 1)],\n",
       " [(130, 1),\n",
       "  (148, 1),\n",
       "  (224, 1),\n",
       "  (251, 1),\n",
       "  (277, 1),\n",
       "  (280, 1),\n",
       "  (301, 1),\n",
       "  (329, 1),\n",
       "  (392, 1),\n",
       "  (402, 1),\n",
       "  (467, 1)],\n",
       " [(1, 1),\n",
       "  (2, 1),\n",
       "  (13, 1),\n",
       "  (54, 1),\n",
       "  (139, 1),\n",
       "  (180, 1),\n",
       "  (204, 1),\n",
       "  (286, 1),\n",
       "  (304, 1),\n",
       "  (333, 2),\n",
       "  (390, 1)],\n",
       " [(175, 1), (492, 1)],\n",
       " [(13, 1), (200, 1), (232, 1)],\n",
       " [(160, 1), (371, 1)],\n",
       " [(85, 1), (201, 1), (305, 1)],\n",
       " [(10, 1), (15, 1), (54, 1), (187, 1), (380, 1), (409, 1), (420, 2)],\n",
       " [(7, 2), (53, 1), (58, 1), (109, 1), (138, 1), (139, 1), (213, 1), (485, 1)],\n",
       " [(364, 1)],\n",
       " [(2, 1),\n",
       "  (7, 1),\n",
       "  (17, 1),\n",
       "  (28, 1),\n",
       "  (72, 1),\n",
       "  (73, 1),\n",
       "  (102, 1),\n",
       "  (154, 1),\n",
       "  (163, 1),\n",
       "  (237, 2),\n",
       "  (253, 2),\n",
       "  (257, 1),\n",
       "  (267, 1),\n",
       "  (294, 1),\n",
       "  (295, 1),\n",
       "  (316, 1),\n",
       "  (335, 1),\n",
       "  (339, 1),\n",
       "  (342, 1),\n",
       "  (351, 1),\n",
       "  (356, 1),\n",
       "  (379, 1),\n",
       "  (406, 2),\n",
       "  (427, 1),\n",
       "  (470, 1)],\n",
       " [(31, 1), (40, 1), (57, 1), (236, 1), (377, 1), (467, 1)],\n",
       " [(27, 1), (37, 1), (114, 1), (406, 1), (483, 1)],\n",
       " [(40, 1), (101, 1), (203, 1), (399, 1)],\n",
       " [(0, 1), (7, 1), (232, 1), (328, 1)],\n",
       " [(1, 1),\n",
       "  (2, 1),\n",
       "  (11, 1),\n",
       "  (29, 1),\n",
       "  (44, 1),\n",
       "  (62, 1),\n",
       "  (81, 1),\n",
       "  (108, 1),\n",
       "  (114, 1),\n",
       "  (186, 1),\n",
       "  (211, 1),\n",
       "  (223, 2),\n",
       "  (233, 1),\n",
       "  (236, 1),\n",
       "  (245, 1),\n",
       "  (253, 1),\n",
       "  (319, 1),\n",
       "  (358, 1),\n",
       "  (379, 1),\n",
       "  (396, 1),\n",
       "  (461, 1)],\n",
       " [(1, 1),\n",
       "  (2, 1),\n",
       "  (21, 1),\n",
       "  (29, 1),\n",
       "  (63, 1),\n",
       "  (113, 1),\n",
       "  (229, 1),\n",
       "  (232, 1),\n",
       "  (243, 1),\n",
       "  (315, 1)],\n",
       " [(7, 1),\n",
       "  (13, 1),\n",
       "  (15, 1),\n",
       "  (17, 1),\n",
       "  (39, 1),\n",
       "  (57, 1),\n",
       "  (88, 1),\n",
       "  (127, 1),\n",
       "  (131, 1),\n",
       "  (139, 2),\n",
       "  (156, 1),\n",
       "  (178, 1),\n",
       "  (224, 1),\n",
       "  (299, 1),\n",
       "  (361, 1),\n",
       "  (380, 1),\n",
       "  (412, 1),\n",
       "  (501, 1)],\n",
       " [(7, 1), (118, 1), (254, 1), (378, 1)],\n",
       " [(46, 1), (56, 1), (114, 1), (229, 1)],\n",
       " [(1, 1), (29, 1), (229, 1), (494, 1)],\n",
       " [(219, 1), (465, 1)],\n",
       " [(4, 1),\n",
       "  (10, 1),\n",
       "  (24, 1),\n",
       "  (26, 1),\n",
       "  (29, 1),\n",
       "  (38, 1),\n",
       "  (68, 1),\n",
       "  (84, 1),\n",
       "  (372, 1),\n",
       "  (373, 1),\n",
       "  (411, 1)],\n",
       " [(20, 1), (192, 1), (239, 1)],\n",
       " [(23, 1), (34, 1), (83, 1), (117, 1), (250, 1), (367, 1)],\n",
       " [(2, 1), (23, 2), (165, 1), (205, 1), (219, 2), (445, 1), (446, 1)],\n",
       " [(6, 1),\n",
       "  (11, 1),\n",
       "  (56, 1),\n",
       "  (63, 1),\n",
       "  (139, 1),\n",
       "  (175, 1),\n",
       "  (245, 1),\n",
       "  (248, 1),\n",
       "  (258, 1),\n",
       "  (332, 1),\n",
       "  (400, 1),\n",
       "  (445, 1),\n",
       "  (472, 1)],\n",
       " [(31, 1), (154, 1), (250, 1)],\n",
       " [(7, 1),\n",
       "  (26, 1),\n",
       "  (27, 1),\n",
       "  (77, 1),\n",
       "  (202, 1),\n",
       "  (236, 1),\n",
       "  (253, 1),\n",
       "  (255, 1),\n",
       "  (362, 1),\n",
       "  (375, 1)],\n",
       " [(28, 1), (269, 1), (406, 1)],\n",
       " [(4, 1), (13, 1), (25, 1), (105, 1), (300, 1), (379, 1), (383, 1), (451, 1)],\n",
       " [(0, 1), (31, 1), (33, 1), (62, 1), (250, 1), (451, 2)],\n",
       " [(29, 1), (93, 1), (109, 1), (115, 1), (202, 1), (483, 1)],\n",
       " [(13, 1), (326, 1), (370, 1)],\n",
       " [(28, 1), (92, 1), (120, 1), (282, 1)],\n",
       " [(50, 1), (75, 1), (94, 1), (150, 1), (303, 1), (384, 1), (494, 1)],\n",
       " [(56, 1)],\n",
       " [(7, 1), (40, 1)],\n",
       " [(2, 1), (7, 1), (63, 1), (150, 1), (187, 1), (263, 1), (409, 1)],\n",
       " [(2, 1), (7, 1), (13, 1), (73, 2), (161, 1), (184, 1), (191, 1)],\n",
       " [(10, 1),\n",
       "  (23, 1),\n",
       "  (31, 1),\n",
       "  (43, 1),\n",
       "  (56, 1),\n",
       "  (142, 1),\n",
       "  (169, 1),\n",
       "  (395, 1),\n",
       "  (412, 1)],\n",
       " [(7, 1),\n",
       "  (50, 1),\n",
       "  (51, 1),\n",
       "  (102, 1),\n",
       "  (105, 1),\n",
       "  (130, 1),\n",
       "  (162, 1),\n",
       "  (208, 1),\n",
       "  (245, 1),\n",
       "  (252, 1),\n",
       "  (371, 1),\n",
       "  (372, 1),\n",
       "  (460, 1)],\n",
       " [(48, 1), (59, 1), (179, 1), (202, 1), (277, 1)],\n",
       " [(27, 1), (152, 1), (482, 1)],\n",
       " [(7, 1),\n",
       "  (43, 1),\n",
       "  (56, 1),\n",
       "  (72, 1),\n",
       "  (79, 1),\n",
       "  (174, 1),\n",
       "  (205, 1),\n",
       "  (387, 1),\n",
       "  (502, 1)],\n",
       " [(42, 1), (56, 1), (65, 1), (75, 1), (88, 1), (137, 1), (373, 2)],\n",
       " [(27, 1), (101, 1), (286, 1), (447, 1)],\n",
       " [(40, 1), (89, 1), (104, 1), (175, 1), (229, 1), (287, 1), (430, 1)],\n",
       " [(13, 1), (84, 1), (202, 1)],\n",
       " [(27, 1), (51, 1), (79, 1)],\n",
       " [(2, 1), (40, 1), (147, 1), (187, 1), (266, 1), (374, 1), (399, 1)],\n",
       " [(11, 1), (13, 1), (16, 2), (95, 1), (396, 1), (474, 1), (487, 2)],\n",
       " [(23, 1),\n",
       "  (31, 1),\n",
       "  (108, 1),\n",
       "  (139, 1),\n",
       "  (149, 1),\n",
       "  (239, 1),\n",
       "  (304, 1),\n",
       "  (320, 1),\n",
       "  (331, 1),\n",
       "  (400, 1),\n",
       "  (430, 1)],\n",
       " [(20, 2), (42, 1), (318, 1), (427, 1), (476, 1)],\n",
       " [(88, 1), (205, 1), (219, 1), (277, 1)],\n",
       " [(0, 1), (5, 1), (44, 1), (56, 1), (239, 2), (383, 1)],\n",
       " [(7, 1), (85, 1), (240, 1), (378, 1)],\n",
       " [(364, 1)],\n",
       " [(2, 1), (13, 1), (77, 1), (117, 1), (202, 2), (247, 1), (264, 1)],\n",
       " [(7, 2),\n",
       "  (34, 1),\n",
       "  (51, 1),\n",
       "  (79, 1),\n",
       "  (101, 1),\n",
       "  (124, 1),\n",
       "  (157, 1),\n",
       "  (182, 1),\n",
       "  (371, 1)],\n",
       " [(56, 1), (115, 1), (241, 1), (328, 1), (366, 1), (501, 1)],\n",
       " [(1, 1),\n",
       "  (2, 1),\n",
       "  (26, 1),\n",
       "  (31, 1),\n",
       "  (35, 1),\n",
       "  (73, 1),\n",
       "  (144, 2),\n",
       "  (461, 1),\n",
       "  (464, 1)],\n",
       " [(26, 1), (72, 1), (104, 1), (176, 1), (337, 1)],\n",
       " [(57, 1),\n",
       "  (79, 1),\n",
       "  (132, 1),\n",
       "  (267, 1),\n",
       "  (293, 1),\n",
       "  (294, 1),\n",
       "  (336, 1),\n",
       "  (364, 1)],\n",
       " [(144, 1), (493, 1)],\n",
       " [(0, 1), (1, 1), (9, 1), (56, 1)],\n",
       " [(0, 1),\n",
       "  (2, 1),\n",
       "  (4, 1),\n",
       "  (13, 1),\n",
       "  (24, 1),\n",
       "  (132, 1),\n",
       "  (205, 1),\n",
       "  (328, 1),\n",
       "  (346, 1)],\n",
       " [(10, 1),\n",
       "  (49, 1),\n",
       "  (57, 1),\n",
       "  (83, 1),\n",
       "  (139, 1),\n",
       "  (175, 1),\n",
       "  (232, 1),\n",
       "  (236, 1),\n",
       "  (304, 1),\n",
       "  (413, 1)],\n",
       " [(0, 1), (55, 1), (92, 1), (318, 1), (431, 1)],\n",
       " [(13, 1),\n",
       "  (56, 1),\n",
       "  (72, 1),\n",
       "  (79, 1),\n",
       "  (108, 1),\n",
       "  (188, 1),\n",
       "  (234, 1),\n",
       "  (333, 1),\n",
       "  (432, 1)],\n",
       " [(119, 1), (201, 1), (237, 1), (260, 1), (372, 1)],\n",
       " [(13, 1), (77, 1), (105, 1)],\n",
       " [(23, 1), (120, 1), (154, 1), (175, 1), (383, 1)],\n",
       " [(13, 1), (54, 1), (157, 1), (176, 2)],\n",
       " [(156, 1), (164, 1), (451, 1)],\n",
       " [(7, 1),\n",
       "  (79, 1),\n",
       "  (83, 1),\n",
       "  (155, 1),\n",
       "  (253, 1),\n",
       "  (294, 1),\n",
       "  (337, 1),\n",
       "  (432, 1),\n",
       "  (439, 1),\n",
       "  (503, 1)],\n",
       " [(6, 1),\n",
       "  (10, 1),\n",
       "  (24, 1),\n",
       "  (31, 1),\n",
       "  (32, 1),\n",
       "  (56, 1),\n",
       "  (79, 1),\n",
       "  (186, 1),\n",
       "  (224, 1),\n",
       "  (243, 1),\n",
       "  (283, 1),\n",
       "  (294, 1),\n",
       "  (311, 1)],\n",
       " [(13, 1), (17, 1), (128, 1), (286, 1)],\n",
       " [(1, 1), (31, 1), (57, 1), (215, 1), (232, 1), (284, 1)],\n",
       " [(56, 1)],\n",
       " [(63, 1), (120, 2), (123, 1), (125, 1), (254, 1)],\n",
       " [(7, 1),\n",
       "  (23, 1),\n",
       "  (35, 1),\n",
       "  (38, 1),\n",
       "  (127, 1),\n",
       "  (150, 1),\n",
       "  (311, 1),\n",
       "  (322, 1),\n",
       "  (337, 1),\n",
       "  (399, 1),\n",
       "  (412, 1)],\n",
       " [(11, 1), (56, 1), (72, 1), (208, 1), (273, 1), (401, 1)],\n",
       " [(83, 1), (129, 1)],\n",
       " [(6, 1), (93, 1), (108, 1), (145, 1), (152, 1), (189, 1), (283, 1), (465, 1)],\n",
       " [(108, 1), (123, 1), (286, 1), (323, 1), (350, 1), (488, 1)],\n",
       " [(13, 1), (56, 1), (331, 1)],\n",
       " [(11, 1),\n",
       "  (56, 1),\n",
       "  (109, 1),\n",
       "  (165, 1),\n",
       "  (210, 1),\n",
       "  (211, 1),\n",
       "  (223, 1),\n",
       "  (340, 1),\n",
       "  (383, 1)],\n",
       " [(27, 1), (56, 1), (101, 1), (270, 1)],\n",
       " [(13, 1), (75, 1)],\n",
       " [(30, 1),\n",
       "  (31, 1),\n",
       "  (127, 1),\n",
       "  (141, 1),\n",
       "  (160, 1),\n",
       "  (225, 1),\n",
       "  (229, 1),\n",
       "  (245, 1),\n",
       "  (267, 1),\n",
       "  (372, 1),\n",
       "  (383, 1)],\n",
       " [(26, 1),\n",
       "  (56, 3),\n",
       "  (102, 1),\n",
       "  (174, 1),\n",
       "  (183, 1),\n",
       "  (254, 1),\n",
       "  (312, 1),\n",
       "  (386, 1),\n",
       "  (440, 1),\n",
       "  (468, 1),\n",
       "  (484, 1),\n",
       "  (498, 1)],\n",
       " [(1, 1),\n",
       "  (2, 1),\n",
       "  (13, 1),\n",
       "  (77, 1),\n",
       "  (83, 1),\n",
       "  (152, 1),\n",
       "  (202, 1),\n",
       "  (204, 1),\n",
       "  (362, 1)],\n",
       " [(13, 1), (31, 1), (40, 1), (77, 1), (83, 1), (255, 1), (267, 1), (443, 1)],\n",
       " [(13, 1), (31, 1), (77, 1), (143, 1), (255, 1)],\n",
       " [(13, 1), (150, 1), (277, 1)],\n",
       " [(11, 1),\n",
       "  (80, 1),\n",
       "  (108, 3),\n",
       "  (122, 1),\n",
       "  (123, 1),\n",
       "  (154, 1),\n",
       "  (266, 1),\n",
       "  (327, 1),\n",
       "  (396, 1),\n",
       "  (498, 1)],\n",
       " [(43, 1),\n",
       "  (65, 1),\n",
       "  (80, 1),\n",
       "  (83, 1),\n",
       "  (86, 1),\n",
       "  (133, 1),\n",
       "  (151, 1),\n",
       "  (198, 1),\n",
       "  (312, 1)]]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Filtrar palabras muy frecuentes o infrecuentes\n",
    "\n",
    "dictionary.filter_extremes(no_below=5, no_above=0.5)\n",
    "\n",
    "corpus = [dictionary.doc2bow(text) for text in data['preprocesado'].values]\n",
    "corpus"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(0,\n",
       "  '0.032*\"llego\" + 0.032*\"plata\" + 0.031*\"bastante\" + 0.026*\"bien\" + 0.020*\"producto\" + 0.018*\"pulsera\" + 0.016*\"tiempo\" + 0.016*\"pone\" + 0.016*\"nunca\" + 0.015*\"regalo\" + 0.014*\"si\" + 0.013*\"dos\" + 0.012*\"mas\" + 0.012*\"pequeña\" + 0.011*\"bonito\"'),\n",
       " (1,\n",
       "  '0.037*\"perfecto\" + 0.035*\"mando\" + 0.027*\"si\" + 0.021*\"juego\" + 0.017*\"funciona\" + 0.017*\"jugar\" + 0.017*\"bien\" + 0.016*\"producto\" + 0.014*\"perfectamente\" + 0.011*\"switch\" + 0.011*\"problema\" + 0.010*\"quedan\" + 0.010*\"compra\" + 0.010*\"original\" + 0.010*\"botones\"'),\n",
       " (2,\n",
       "  '0.081*\"calidad\" + 0.056*\"precio\" + 0.040*\"buena\" + 0.034*\"bien\" + 0.019*\"regalo\" + 0.018*\"buen\" + 0.017*\"parece\" + 0.017*\"queda\" + 0.016*\"bonita\" + 0.015*\"bonito\" + 0.015*\"cierre\" + 0.014*\"aunque\" + 0.013*\"pulsera\" + 0.012*\"mala\" + 0.012*\"foto\"'),\n",
       " (3,\n",
       "  '0.066*\"juego\" + 0.024*\"gusto\" + 0.020*\"hijo\" + 0.016*\"mano\" + 0.016*\"pena\" + 0.016*\"llegó\" + 0.015*\"todas\" + 0.014*\"ser\" + 0.013*\"regalo\" + 0.013*\"vale\" + 0.013*\"bastante\" + 0.012*\"encantado\" + 0.012*\"bonito\" + 0.011*\"expectativas\" + 0.011*\"collar\"'),\n",
       " (4,\n",
       "  '0.025*\"bien\" + 0.023*\"pequeño\" + 0.023*\"si\" + 0.022*\"bonito\" + 0.019*\"tamaño\" + 0.018*\"juego\" + 0.018*\"mas\" + 0.015*\"tal\" + 0.015*\"ve\" + 0.014*\"español\" + 0.014*\"mejor\" + 0.011*\"precio\" + 0.011*\"grande\" + 0.011*\"perfecto\" + 0.011*\"grandes\"'),\n",
       " (5,\n",
       "  '0.025*\"llegado\" + 0.025*\"producto\" + 0.022*\"día\" + 0.021*\"bonitos\" + 0.019*\"mas\" + 0.019*\"pendientes\" + 0.017*\"mal\" + 0.016*\"pedido\" + 0.014*\"bien\" + 0.013*\"gracias\" + 0.013*\"llegó\" + 0.012*\"juegos\" + 0.012*\"si\" + 0.012*\"caja\" + 0.011*\"así\"'),\n",
       " (6,\n",
       "  '0.054*\"bien\" + 0.024*\"juego\" + 0.018*\"original\" + 0.017*\"caja\" + 0.015*\"producto\" + 0.014*\"caso\" + 0.014*\"amazon\" + 0.014*\"si\" + 0.013*\"momento\" + 0.013*\"viene\" + 0.013*\"entrega\" + 0.012*\"ningún\" + 0.012*\"dos\" + 0.011*\"envío\" + 0.011*\"roto\"')]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Train the topic model\n",
    "model = LdaModel(corpus=corpus, id2word=dictionary, num_topics=7, passes=50)\n",
    "model\n",
    "\n",
    "model.print_topics(num_words=15)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###  `[25 pts]` Punto 3: Visualización de LDA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<link rel=\"stylesheet\" type=\"text/css\" href=\"https://cdn.rawgit.com/bmabey/pyLDAvis/files/ldavis.v1.0.0.css\">\n",
       "\n",
       "\n",
       "<div id=\"ldavis_el1597622991730604241453209033\"></div>\n",
       "<script type=\"text/javascript\">\n",
       "\n",
       "var ldavis_el1597622991730604241453209033_data = {\"mdsDat\": {\"x\": [0.04249518993222669, 0.0833325341101981, -0.20669314943010966, -0.08654731074220316, -0.06279347871858641, 0.0862374936592041, 0.14396872118927], \"y\": [-0.12987501789395503, 0.037299015093622566, -0.11160879878646153, 0.21008591014435135, 0.022746273727665824, -0.05330015154262752, 0.02465276925740424], \"topics\": [1, 2, 3, 4, 5, 6, 7], \"cluster\": [1, 1, 1, 1, 1, 1, 1], \"Freq\": [10.446192741394043, 15.663270950317383, 18.448604583740234, 9.770599365234375, 14.137660026550293, 19.009838104248047, 12.523834228515625]}, \"tinfo\": {\"Term\": [\"calidad\", \"juego\", \"buena\", \"precio\", \"perfecto\", \"mando\", \"plata\", \"llego\", \"bien\", \"bastante\", \"bonito\", \"llegado\", \"peque\\u00f1o\", \"gusto\", \"pendientes\", \"pulsera\", \"bonitos\", \"hijo\", \"original\", \"mas\", \"regalo\", \"d\\u00eda\", \"jugar\", \"bonita\", \"pedido\", \"tama\\u00f1o\", \"lleg\\u00f3\", \"pena\", \"caja\", \"cierre\", \"tienda\", \"juegazo\", \"piedra\", \"llego\", \"plata\", \"siendo\", \"fea\", \"ayuda\", \"asi\", \"semanas\", \"pone\", \"nunca\", \"f\\u00e1cilmente\", \"quedado\", \"esperado\", \"ningun\", \"comprado\", \"peque\\u00f1a\", \"compro\", \"acero\", \"cuesta\", \"esperar\", \"buscaba\", \"lamentable\", \"q\", \"pantalla\", \"corresponde\", \"bastante\", \"empresa\", \"duda\", \"devolver\", \"creo\", \"pulsera\", \"puedo\", \"mismo\", \"tiempo\", \"espero\", \"dos\", \"collar\", \"producto\", \"bien\", \"regalo\", \"jugar\", \"mas\", \"si\", \"bonito\", \"ps\", \"llegado\", \"puede\", \"precio\", \"amazon\", \"mejor\", \"m\\u00f3viles\", \"largo\", \"adapta\", \"rato\", \"mando\", \"conectar\", \"completo\", \"divertido\", \"perfecto\", \"funda\", \"envio\", \"botones\", \"negra\", \"ni\\u00f1os\", \"unas\", \"materiales\", \"rapido\", \"consolas\", \"switch\", \"ideal\", \"horas\", \"puedes\", \"deber\\u00edan\", \"usar\", \"encima\", \"tiendas\", \"jugar\", \"funciona\", \"detalle\", \"mont\\u00f3n\", \"correctamente\", \"cualquier\", \"quedan\", \"problema\", \"nintendo\", \"cable\", \"gran\", \"perfectamente\", \"si\", \"original\", \"cargador\", \"compra\", \"juego\", \"sido\", \"producto\", \"tener\", \"bien\", \"tiempo\", \"ser\", \"solo\", \"recomendable\", \"caja\", \"cumple\", \"calidad\", \"uso\", \"precio\", \"pandora\", \"relaci\\u00f3n\", \"cierre\", \"perdi\\u00f3\", \"ruido\", \"bonita\", \"buena\", \"excelente\", \"mu\\u00f1eca\", \"excesivamente\", \"conjunto\", \"encant\\u00f3\", \"elegante\", \"calidad\", \"pulseras\", \"sonido\", \"peque\\u00f1as\", \"mala\", \"baja\", \"material\", \"s\\u00f3lo\", \"certificado\", \"precio\", \"bajo\", \"queda\", \"utilizar\", \"ven\", \"devuelto\", \"precioso\", \"primer\", \"correcto\", \"fina\", \"regalar\", \"tan\", \"parece\", \"pedir\", \"pulsera\", \"regalo\", \"aunque\", \"buen\", \"cadena\", \"colgante\", \"bien\", \"bonito\", \"bueno\", \"foto\", \"ps\", \"puede\", \"gustado\", \"verdad\", \"cumple\", \"producto\", \"grande\", \"si\", \"hijo\", \"entretenido\", \"gr\\u00e1ficos\", \"gusto\", \"mano\", \"rapidez\", \"rat\\u00f3n\", \"adecuado\", \"fan\", \"saga\", \"esperando\", \"expectativas\", \"encantado\", \"gust\\u00f3\", \"todas\", \"opini\\u00f3n\", \"cambiar\", \"imagen\", \"dio\", \"collar\", \"semana\", \"piel\", \"alg\\u00fan\", \"tacto\", \"doy\", \"contenta\", \"vale\", \"contento\", \"hija\", \"deja\", \"juego\", \"pena\", \"ser\", \"lleg\\u00f3\", \"comprar\", \"bastante\", \"regalo\", \"bonito\", \"entrega\", \"d\\u00eda\", \"viene\", \"estrellas\", \"presentaci\\u00f3n\", \"c\\u00f3modos\", \"ingles\", \"anuncio\", \"espa\\u00f1ola\", \"espa\\u00f1ol\", \"peque\\u00f1o\", \"bolsa\", \"totalmente\", \"quieres\", \"merece\", \"ve\", \"entender\", \"historia\", \"veo\", \"play\", \"versi\\u00f3n\", \"cuenta\", \"plazo\", \"tama\\u00f1o\", \"much\\u00edsimo\", \"misma\", \"peso\", \"seguro\", \"modo\", \"cabe\", \"sistema\", \"tal\", \"igual\", \"poner\", \"dise\\u00f1o\", \"grandes\", \"bonito\", \"mejor\", \"pueden\", \"gran\", \"grande\", \"colgante\", \"mas\", \"si\", \"pena\", \"bien\", \"juego\", \"tener\", \"ps\", \"d\\u00edas\", \"perfecto\", \"buen\", \"viene\", \"precio\", \"calidad\", \"foto\", \"solo\", \"compra\", \"recibido\", \"pendientes\", \"todav\\u00eda\", \"pedido\", \"gracias\", \"elegantes\", \"fecha\", \"pasado\", \"hola\", \"hoy\", \"dicen\", \"bonitos\", \"juegos\", \"parecido\", \"sorpresa\", \"perdido\", \"llegado\", \"segundo\", \"previsto\", \"puestos\", \"brillo\", \"dan\", \"simplemente\", \"pienso\", \"mal\", \"usado\", \"seg\\u00fan\", \"s\\u00e9\", \"d\\u00eda\", \"funcionar\", \"devoluci\\u00f3n\", \"ver\", \"vez\", \"mujer\", \"meses\", \"cosa\", \"mas\", \"lleg\\u00f3\", \"producto\", \"pl\\u00e1stico\", \"entregado\", \"as\\u00ed\", \"caja\", \"ahora\", \"menos\", \"solo\", \"parte\", \"parece\", \"despu\\u00e9s\", \"si\", \"bien\", \"foto\", \"tal\", \"dos\", \"amazon\", \"bonitas\", \"jugando\", \"prime\", \"caso\", \"par\", \"funcionan\", \"disco\", \"cerrar\", \"caro\", \"compras\", \"tipo\", \"c\\u00f3digo\", \"veces\", \"entra\", \"xbox\", \"opinar\", \"ning\\u00fan\", \"usb\", \"sitio\", \"momento\", \"corta\", \"fatal\", \"devolverlo\", \"embalaje\", \"base\", \"dice\", \"siempre\", \"original\", \"roto\", \"\\u00fanica\", \"entrega\", \"env\\u00edo\", \"servicio\", \"va\", \"bien\", \"amazon\", \"caja\", \"viene\", \"juego\", \"vendedor\", \"r\\u00e1pido\", \"dos\", \"recomiendo\", \"producto\", \"si\", \"nintendo\", \"art\\u00edculo\", \"tiempo\", \"buen\", \"cadena\", \"perfectamente\"], \"Freq\": [141.0, 117.0, 64.0, 114.0, 59.0, 52.0, 35.0, 34.0, 185.0, 53.0, 63.0, 50.0, 30.0, 20.0, 28.0, 37.0, 39.0, 15.0, 32.0, 64.0, 61.0, 48.0, 34.0, 25.0, 24.0, 34.0, 42.0, 31.0, 47.0, 23.0, 5.87381649017334, 4.916816234588623, 8.0645112991333, 25.598421096801758, 24.909019470214844, 4.656779766082764, 3.9625091552734375, 4.628348350524902, 4.598412990570068, 3.9636282920837402, 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\"vendedor\", \"veo\", \"veo\", \"ver\", \"ver\", \"ver\", \"ver\", \"verdad\", \"verdad\", \"verdad\", \"verdad\", \"verdad\", \"verdad\", \"verdad\", \"versi\\u00f3n\", \"versi\\u00f3n\", \"versi\\u00f3n\", \"vez\", \"vez\", \"vez\", \"vez\", \"vez\", \"viene\", \"viene\", \"viene\", \"viene\", \"viene\", \"viene\", \"xbox\", \"xbox\", \"\\u00fanica\", \"\\u00fanica\"]}, \"R\": 30, \"lambda.step\": 0.01, \"plot.opts\": {\"xlab\": \"PC1\", \"ylab\": \"PC2\"}, \"topic.order\": [1, 2, 3, 4, 5, 6, 7]};\n",
       "\n",
       "function LDAvis_load_lib(url, callback){\n",
       "  var s = document.createElement('script');\n",
       "  s.src = url;\n",
       "  s.async = true;\n",
       "  s.onreadystatechange = s.onload = callback;\n",
       "  s.onerror = function(){console.warn(\"failed to load library \" + url);};\n",
       "  document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
       "}\n",
       "\n",
       "if(typeof(LDAvis) !== \"undefined\"){\n",
       "   // already loaded: just create the visualization\n",
       "   !function(LDAvis){\n",
       "       new LDAvis(\"#\" + \"ldavis_el1597622991730604241453209033\", ldavis_el1597622991730604241453209033_data);\n",
       "   }(LDAvis);\n",
       "}else if(typeof define === \"function\" && define.amd){\n",
       "   // require.js is available: use it to load d3/LDAvis\n",
       "   require.config({paths: {d3: \"https://cdnjs.cloudflare.com/ajax/libs/d3/3.5.5/d3.min\"}});\n",
       "   require([\"d3\"], function(d3){\n",
       "      window.d3 = d3;\n",
       "      LDAvis_load_lib(\"https://cdn.rawgit.com/bmabey/pyLDAvis/files/ldavis.v1.0.0.js\", function(){\n",
       "        new LDAvis(\"#\" + \"ldavis_el1597622991730604241453209033\", ldavis_el1597622991730604241453209033_data);\n",
       "      });\n",
       "    });\n",
       "}else{\n",
       "    // require.js not available: dynamically load d3 & LDAvis\n",
       "    LDAvis_load_lib(\"https://cdnjs.cloudflare.com/ajax/libs/d3/3.5.5/d3.min.js\", function(){\n",
       "         LDAvis_load_lib(\"https://cdn.rawgit.com/bmabey/pyLDAvis/files/ldavis.v1.0.0.js\", function(){\n",
       "                 new LDAvis(\"#\" + \"ldavis_el1597622991730604241453209033\", ldavis_el1597622991730604241453209033_data);\n",
       "            })\n",
       "         });\n",
       "}\n",
       "</script>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lda_display = pyLDAvis.gensim.prepare(model, corpus, dictionary, sort_topics=False)\n",
    "pyLDAvis.display(lda_display)\n",
    "# pyLDAvis.save_html(lda_display, 'lda.html')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "El grupo 1 tiende a asociar adjetivos positivos en relación a los sujetos o sustantivos que describen. Tenemos superlativos como \"totalmente\", \"claramente\" que refuerzan el adjetivo positivo.\n",
    "\n",
    "El grupo 2 asocia los textos por temas de envíos, así que encontraremos léxico que hace referencia desde la tienda de despacho hasta el momento del recibo del producto.\n",
    "\n",
    "El grupo 3 asocia los textos por la descripción de las joyas (en su mayoría). Por el grupo de palabras las descripciones son positivas.\n",
    "\n",
    "El grupo 4 asocia los textos por temas relacionados con los envíos. Sin emabrgo, a diferencia del grupo 2, aquí las calificaciones son negativas.\n",
    "\n",
    "La asociación de los grupos 5 y 6 es dificil de comprender. No puedo establecer una única temática ni sujetos. Consideraría que aquí se agrupan aquellas palabras distantes en la descripción de los productos.\n",
    "\n",
    "El grupo 7 también es confuso; sin emabrgo, parece modelar temas en relación con el uso que se le da a los productos. \n",
    "\n"
   ]
  }
 ],
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