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@myoshimu
Last active July 12, 2019 04:20
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bqml_cycle_kmeans_with_tuning
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "bqml_cycle_kmeans_with_tuning",
"version": "0.3.2",
"provenance": []
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "dB30suHhNvix",
"colab_type": "text"
},
"source": [
"# K 平均法クラスタリングデモ\n",
"\n",
"BigQuery ML は教師なし学習をサポートしています。データをクラスタにグループ化するために K 平均法アルゴリズムを適用することができます。教師あり機械学習が予測分析を目的としているのとは異なり、教師なし学習では記述分析が目的となります。データに基づいて意思決定を下せるように、データを理解することが重要になります。\n",
"\n",
"このデモでは、ロンドンのレンタル自転車のデータを自転車ステーションの属性に基づいてクラスタ化します。その際、BigQuery ML を使用して K 平均法モデルを作成します。\n",
"\n",
"同データセットには、ロンドンの Santander Cycle Hire Scheme の 2011 年から現在までの利用者数が含まれています。また、開始時と終了時のタイムスタンプ、ステーション名、乗車時間も含まれます。\n",
"\n",
"クエリでは、地理関数を使用します(BigQuery GIS 内で利用可能)。BigQuery GIS の詳細については、BigQuery GIS の概要をご覧ください。"
]
},
{
"cell_type": "code",
"metadata": {
"id": "1Hz0Xhd2KQ_0",
"colab_type": "code",
"colab": {}
},
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import sys\n",
"from google.cloud import bigquery\n",
"from google.colab import auth\n",
"auth.authenticate_user()\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "6-8mGYqQKUGO",
"colab_type": "code",
"colab": {}
},
"source": [
"#@title プロジェクト変数の設定 { run: \"auto\", display-mode: \"form\" }\n",
"project_id = '' #@param {type:\"string\"}\n",
"dataset_name = \"cycle\" #@param {type:\"string\"}\n",
"#eval_name = model_name + \"_eval\"\n",
"client = bigquery.Client(project=project_id)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "1FlmhAvVOPq6",
"colab_type": "text"
},
"source": [
"ここでは、以下の属性に基づいて自転車ステーションのクラスタリングを行います。\n",
"\n",
"* レンタル期間\n",
"* 1 日あたりの利用数\n",
"* 自転車ラックの数\n",
"* 市中心部からの距離\n",
"\n",
"次のクエリで、トレーニング データをまとめます。このクエリは、後半で CREATE MODEL ステートメントに含まれます。このクエリは、start_station_name と duration を含む自転車レンタルのデータを抽出し、bike_count と distance-from-city-center を含むステーション情報に結合します。そして、平均乗車時間と利用数を含んだステーション属性 stationstats を計算します。この計算には、ステーション属性 bike_count と distance_from_city_center も含まれます。"
]
},
{
"cell_type": "code",
"metadata": {
"id": "oauym3lRKv4g",
"colab_type": "code",
"colab": {}
},
"source": [
"query = \"\"\"\n",
"--WITH 句を使用してサブクエリ定義\n",
"WITH hs AS (\n",
"SELECT \n",
"h.start_station_name as station_name,\n",
"IF(EXTRACT(DAYOFWEEK FROM h.start_date) = 1 OR\n",
" EXTRACT(DAYOFWEEK FROM h.start_date) = 7, \"weekend\", \"weekday\") AS isweekday,\n",
"h.duration,\n",
"s.bikes_count,\n",
"--BigQuery GIS 関数で駅からの距離を計算\n",
"ST_DISTANCE(ST_GEOGPOINT(s.longitude, s.latitude), ST_GEOGPOINT(-0.1, 51.5))/1000 AS distance_from_city_center\n",
"FROM `bigquery-public-data.london_bicycles.cycle_hire` as h\n",
"JOIN `bigquery-public-data.london_bicycles.cycle_stations` as s\n",
"ON h.start_station_id = s.id\n",
"WHERE h.start_date BETWEEN CAST('2015-01-01 00:00:00' AS TIMESTAMP) AND CAST('2016-01-01 00:00:00' AS TIMESTAMP)\n",
"),\n",
"stationstats AS (\n",
"SELECT \n",
"station_name,\n",
"isweekday,\n",
"AVG(duration) as duration,\n",
"COUNT(duration) as num_trips,\n",
"MAX(bikes_count) as bikes_count,\n",
"MAX(distance_from_city_center) as distance_from_city_center\n",
"FROM hs\n",
"GROUP BY station_name, isweekday)\n",
"\n",
"SELECT * \n",
"from stationstats\n",
"ORDER BY distance_from_city_center ASC\n",
"\"\"\"\n",
"df = client.query(query).to_dataframe()"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "EnB6tsRSLhDv",
"colab_type": "code",
"outputId": "bde20a5c-1eb3-413f-a3f6-5c6bf6d25e3f",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 184
}
},
"source": [
"df.head()"
],
"execution_count": 40,
"outputs": [
{
"output_type": "execute_result",
"data": {
"application/vnd.google.colaboratory.module+javascript": "\n import \"https://ssl.gstatic.com/colaboratory/data_table/81868506e94e6988/data_table.js\";\n\n window.createDataTable({\n data: [[{\n 'v': 0,\n 'f': \"0\",\n },\n\"Borough Road, Elephant & Castle\",\n\"weekday\",\n{\n 'v': 1109.932162115151,\n 'f': \"1109.932162115151\",\n },\n{\n 'v': 5749,\n 'f': \"5749\",\n },\n{\n 'v': 12,\n 'f': \"12\",\n },\n{\n 'v': 0.12623965466425408,\n 'f': \"0.12623965466425408\",\n }],\n [{\n 'v': 1,\n 'f': \"1\",\n },\n\"Borough Road, Elephant & Castle\",\n\"weekend\",\n{\n 'v': 2125.0958286358505,\n 'f': \"2125.0958286358505\",\n },\n{\n 'v': 1774,\n 'f': \"1774\",\n },\n{\n 'v': 12,\n 'f': \"12\",\n },\n{\n 'v': 0.12623965466425408,\n 'f': \"0.12623965466425408\",\n }],\n [{\n 'v': 2,\n 'f': \"2\",\n },\n\"Webber Street , Southwark\",\n\"weekend\",\n{\n 'v': 938.3570105003088,\n 'f': \"938.3570105003088\",\n },\n{\n 'v': 1619,\n 'f': \"1619\",\n },\n{\n 'v': 4,\n 'f': \"4\",\n },\n{\n 'v': 0.16402063786209384,\n 'f': \"0.16402063786209384\",\n }],\n [{\n 'v': 3,\n 'f': \"3\",\n },\n\"Webber Street , Southwark\",\n\"weekday\",\n{\n 'v': 795.439619456805,\n 'f': \"795.439619456805\",\n },\n{\n 'v': 6517,\n 'f': \"6517\",\n },\n{\n 'v': 4,\n 'f': \"4\",\n },\n{\n 'v': 0.16402063786209384,\n 'f': \"0.16402063786209384\",\n }],\n [{\n 'v': 4,\n 'f': \"4\",\n },\n\"Great Suffolk Street, The Borough\",\n\"weekday\",\n{\n 'v': 802.5302922309335,\n 'f': \"802.5302922309335\",\n },\n{\n 'v': 8418,\n 'f': \"8418\",\n },\n{\n 'v': 6,\n 'f': \"6\",\n },\n{\n 'v': 0.19366718830977991,\n 'f': \"0.19366718830977991\",\n }]],\n columns: [[\"number\", \"index\"], [\"string\", \"station_name\"], [\"string\", \"isweekday\"], [\"number\", \"duration\"], [\"number\", \"num_trips\"], [\"number\", \"bikes_count\"], [\"number\", \"distance_from_city_center\"]],\n rowsPerPage: 25,\n });\n ",
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\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>station_name</th>\n",
" <th>isweekday</th>\n",
" <th>duration</th>\n",
" <th>num_trips</th>\n",
" <th>bikes_count</th>\n",
" <th>distance_from_city_center</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>Borough Road, Elephant &amp; Castle</td>\n",
" <td>weekday</td>\n",
" <td>1109.932162</td>\n",
" <td>5749</td>\n",
" <td>12</td>\n",
" <td>0.126240</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>Borough Road, Elephant &amp; Castle</td>\n",
" <td>weekend</td>\n",
" <td>2125.095829</td>\n",
" <td>1774</td>\n",
" <td>12</td>\n",
" <td>0.126240</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>Webber Street , Southwark</td>\n",
" <td>weekend</td>\n",
" <td>938.357011</td>\n",
" <td>1619</td>\n",
" <td>4</td>\n",
" <td>0.164021</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>Webber Street , Southwark</td>\n",
" <td>weekday</td>\n",
" <td>795.439619</td>\n",
" <td>6517</td>\n",
" <td>4</td>\n",
" <td>0.164021</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>Great Suffolk Street, The Borough</td>\n",
" <td>weekday</td>\n",
" <td>802.530292</td>\n",
" <td>8418</td>\n",
" <td>6</td>\n",
" <td>0.193667</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" station_name ... distance_from_city_center\n",
"0 Borough Road, Elephant & Castle ... 0.126240\n",
"1 Borough Road, Elephant & Castle ... 0.126240\n",
"2 Webber Street , Southwark ... 0.164021\n",
"3 Webber Street , Southwark ... 0.164021\n",
"4 Great Suffolk Street, The Borough ... 0.193667\n",
"\n",
"[5 rows x 6 columns]"
]
},
"metadata": {
"tags": []
},
"execution_count": 40
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "D_be0Oq2sOra",
"colab_type": "code",
"outputId": "0cae888c-3b3d-46ba-9f3c-aa8223bd2853",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 744
}
},
"source": [
"sns.pairplot(df)"
],
"execution_count": 41,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<seaborn.axisgrid.PairGrid at 0x7fca9a7696d8>"
]
},
"metadata": {
"tags": []
},
"execution_count": 41
},
{
"output_type": "display_data",
"data": {
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3eFZbN0QCOY0tQHjWb2T05/N4KpI0bRslCS4+xQ6PmWtIQ0IzbC1qYFID3SFJ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zbUSqXNGOJJAwYX2NHqhyFk0qHbocLgc01ctrf6oQC4t9mfpi2skKert2fwG+FaxA2BtwbG0Vnv\ng0NToAlhtw+PzCRwfiiK7S0BHNxUDwYgYXAcvzSK+9tr07ovWlhhH5le7LUCCelFwIVIWzZhYGn1\npK14PremwKkp0BjDqZtj6Frnw+t9EZy4dhs7WwNZ3mu/2wFVkdmv722rxQ4SzgRBVBBWONx0wrCr\nWEixLMuIWV0KpxIGtjbV4LW+SN5qBFbYm0xQVHBwUx0Y5PK5U2M4fVPGOD+6pRGMMRhC4MDGEHie\nyh8wp9i4IfDqFfm9Z65nhDKY47His1+5PIpd64O2iLb2O3FNlhl75fIoXjcrMC2mYUVmUh+DWNBz\nvdyJgGu5moiVAOrRFLsyhdUkxUJhDG8PTmJfexCaKqt4TCdlI6EDG+sACIRDVZhJGLivWVbDSILD\n5VDAhQzrOHNzHNtbAkhyAy5FgWAMPUOT2NLosz3VMZ3DqTIwKHj3lkzAjSUNOFRgd1sQgPQWG9yw\nS+RZXmkBmaPQHqpC3BCym6L5UHBucALbW4O4MJye5HthZG5Fxao0M5vkUPN0KV3owaqSE1ZJSC8C\n6+RbBjQ2HYff47A9yblqSG9t8kEIaSxuTYXf7cCHutYBAHSDI2EIMMhOXLNC/l1pRkaUNgYXUJXC\nbG0x+xKEBQNsj9d0wkDCkNWMFAgwhaGzvhrttVW2SLWqEaS+RzZGCcGtMhzoqINhCOhCigJL4O4L\nh/DeVj8cqoqYwfH6pbkErG0tATzYUQcBwDC4FCZmzgswF8LgUpWspfHeW1HUuDXsC4cAJudyryu7\n+sF0woDHqdp/G1yAo7DQiFye691tQbw1MImYbuT0Yq+Et7uUq4msBIwxuB0aps1Si9aDnNXG2+1Q\nUFelAUzBlJnQaiXr9d6KortJJvLd2+SDqmo4fmlECmwBaAqDqijon4xjRysgBIMCBg7ptPv51TG8\nr6PODve4u94HwYDOBh+SBgcXwImrsqrHPY0+zCZl3LpbU3Ffs99uFONSYZfn3dNWaxdJuK9F1rtO\n6Aa2NvmgKCpUANVOWTjh5YsjaQ8OMuTUn9WldH94/gercl+VWQgS0ovArSkw+Fx2aqDKCZUBTjBs\nbw3CMAwc3FQPLoQdI7e53geFMRzuWmeWq9HtiXFXWxADEzPYVC+zfRPmxH5+KIqtzTUVY2REaaMq\nDN8/c7OgfX9nW+syj4aoSBgwMJ4el3lxJIrmQFWW88Gtyfk1MpPA2wOT2NYSQMCjYSZhwK0yxFKW\n1q2kvpguEJlJ4GpkCu2hakzGdVwancK2lgA8DhljeqZ/ruLHrrYgLo1O4e51fjOERAcXwAe71gHc\nwI5WP+K6FLoqA3a0+iG4Ab9bA8Bwf3stWB4PN0v5GwCiGVUSQlVOdDf6TLGlgwH2PJ/puT6ZEhOe\ny4u9Uu2ZS7GayEoihABMT6xVbk52JJSe3/vba3H80gjcmoo9G4J20utkXNpVZ70P00mBakU+VCU5\nh4MJeDQVOhj2rK8BwBDTORyqgpmEgSqHggavS14sAthc7wM37eSXprebCxkf3dLiAQegcw5VYbjX\nFNGdDT5cMP/vMPeNGxw+p4LuRh8YpK6R5RcV9I1EsTFUDUWZy2lI7a7od2nQhWzqsmt90F7R0TIe\n7mL6XHtxIcO+89qpW1MQ12VoCATs41XmaQJTapCQXgRW3/r94RBe64tAYwy64EhygauRKWwIVeNV\nM/HQWnpUGTCr62klmva0BXF2YNKuRf1/l9O7fXXW+6hmNEEQFYMigPZQdVpnwwfaQzg3NJF2c33d\nrPl8/NKo/V7VvI96nSq4+P/svXtsHNd5//09Z2bv3OUud3mnKF50MWXZsi6RZEuOIumXN21e/5yi\nSF+0QRugaRC0RYH80QY1WuSCFkXgpP2jQJEGRdACTYtfkSBo+tbp2zaxHNVSfIllyQ4t2bIk6kLq\nQnF539vszDnvH2dmdvZGkRTJJannAwgilzOzM7NnZ555zvf5Pmr2ztt18M2bUzi5rdVVS5+6ch9H\n+1qqZgi9AbdTtDg6lUGfR67nBPMaK/n4R/waPtrfAgGGVz3X6qP9SRzta8GZ65Nl1++s52cG4OZU\nzr1nBHWtSr96sDeBy+Nz2NsdX1ATXiuL/SgXAq42Qgg7IFQBqikEDvUmMDadRVDX3cD5yc4YpD3r\nkDEsXLw7h8faIu7nzwCE/RpMS7gSJ0gJXddhAfhwfBY72mIQUDZ5QgLv3J7FM30teNzWTYd0Jc+Q\nkG622xICAZ3brhsaLEsg5GPwaxoE4BbXOg1YnMB3bDqHJzpjmMkXIaGaxADAhbFp7O2OY65gIuCZ\neffODA21R3H62gTaIgH4NFbesGUgieaAjpmCiV/cnsGujqj7sFEphwFgFx5LzBaKyBeFKzeptBjc\nCAnFzS9yWmkk4NcYjg+mYEF1GjozksZgKlpWgJAxlDeqAIMpHMNzW0dnD8iMYaHgqbh1MhCOYTpd\nDAmC2Ax4XTsA+/p4PY2hdjVNfHJbq5uNDvs1HBtI4hM7WrG/pxlvjU7jpYv3cOrKBLJFC+fHZnB+\nbBpPdsWQDPsR1JWM49SV+8jawYzGeU3HD8eT2glQB1PRqv06M5IG41rZa1lPl1nvcgFdw4GeOE5u\na8WBnjgCGoNfYzjQE4ePKzu9/mTYlaM809fiBtHe/epPNrmZay+OJtz5uVKH6hQCVq6z0oWAUkq7\nFbXpWgBuZoQQmCuYmCuYmMkXkTcFzl6fwvhcAX3JJuSKyiP6QE8MIfsBz/kcRqayePPWDHwcCPuV\nJzRnDJrGMTadxdH+JEK6CnYlJFqjITBIcKiA3RJS2ezaRYaAdJ1hGBgMpylLUeD2dBYnB5PQOUfe\nFDAsoGipFHBQ5+73qS0SQJOf4Wh/Er2JEAQkgjqHT9Nw8e6c2xNDAvbr3D0eZ2bocG/CzhJreLwj\nirP2AyRQyjA7zVp2tKqmLs5Yd+oTvDi2lJmCinvquepsBJtFykgvEckAS6inTGbrxTKGas5SLzPw\nwbiysiuYwtXbBeyBWjlIMoYFiUenKpogiM2P17XDIWNYCOgcr90oz+hyAG+NTrsdBetJHZysssbg\nJjGcaWhL1M7Uhnwlx4+CJRD01e9I+MnH2lEUAhpU9rDm9d0uBvQxIBb0IWuYCGgMsaAPEspf+PZ0\nFgE9hKyh+gTUyzpfuD1TpT090p/Eh+PzVQV+buGWkDixLYW3Rz2NagaSCGiqhfVKaJo3u77VSzgS\ncc9bxlBt35/tb4FmO1X0JsI4fU0Vmu7viblKhIu27eJ7d2bQn2xCzM8hoDyhdc4Au/6pszmMd25P\nY19PwpYAqc9GgoEDaPIzSAB7u+MQUJnOgK7BsJRkYySdwWAyjCP9SdyfzWFLIgwJBstS7co1zsDA\n3Pbje7piyBdVN2YBYPjONJ7qjoOBQdeUplvVK6j9cAL+C2PT7kyJczwWGISUeKpLHbfXYCHi49Ds\nbLoTvOeLwl3G+W6/YXdpHOqIQmeAkKVmNRu5CR0F0ktFAhpj4JDIWRL5ounq4o4NJO2pGVtbx5UU\nZFdHtGxKU1XYShzpa8F7d2cBoHxAMpXxFkJtP6Brm+6CRRDEo4PXtcMh4tcwbxdwAaVA+UhfAnu7\n42gO1g86nZ+DOkdALxUHhnzc9XKu9X5+jePYQBJNgVKmsKYDARgEk24xWM6orXMGmKqT0RhGpzLY\nEg+jIGSZxO9ofxI6E4gEdDCm7hPDd+fcxi8RvwbGVHc5P2c4NpBCUQjkiqo9+v4tibJguGZg25/E\nR7Yor2EpgWzRqgqulxv4rpUOu9FIKZHq6sXPb05ib08cOlfjyqdpmM0X7eSWChR1DQjqOuYNE6aw\nMJ4pIDXvw+7OZrdhyumrEzixLQWfxvG2LZtgTFkx7oUEhwqwIz4OCxIWAMY0XBibxoGeOGxZNsCA\necNCIqRjZCqL/mQE92ez6E2EoT4RCTCOqUwerdEQICUCGsAhEPJpKJgCEkDRUh7UGlMFtpIp2dGT\nXc1gUiLo464UZWy2AL+m4fGOZtyYnEe8NYrTtgd2fzKC2XwR3bEAHmuL4v3xOWXdZ1oI+3W3e6LG\nWVnHx3duz+KZrQlwzvHO2LTrGgKUu/E4RZzqe64eQDKGCSlVTLUeddMUSC8DKSUsxnBmRGmFTgym\nYAhZpqk71JvAeY+f6PHBFIqWQMbWAu3vScC0LOzubAYwU1YUcMZzET7Um0BQF4htwqd/giAeDThQ\n0zf/rVvT7jJuswtNg2aaMEyrZpDrJCrUTVfd/Ct1xycGUzUcP1pcvfXrN6YQ1Bn29cRxwpbpFe2C\n72hAQ7ZolWXKD/cm8ExfAj+7PlVT53y0P4kt8RAkY7CEKNNwO70HzoyUJ1OcovPDW1vg48BrN6bL\nGsGYlkTeVNP0jhMIUDuw/cWdGdc2sJYm/GEC30dFh503BV67pYJgYeuinQBx+O4cjg8kwBjD7o6o\n8lnuSeCD8Tns6ojiSF8Cfk3D+bFp7OmK2xIJDcxOWY/NFpAIqSC4OxaAyhsDws7K5ooqCJVMYkdr\nFAIMli33yBcFMnkDLSGfq7vuioch7ECcMQZTWGiLhiDtGQgDHEVTwrBM1RwOQFDjONxrNwiCkon0\nJ8MomAIWZ5jKGOhsDrkPvYOpCN67a9vsmQJtkQAGWoIQkLg5lXPtAI/2tUBCQuNA1lDv9/qNKTyz\nNYGnuuO4MDaNfT1x5E0LPk1zM/pO+/OnbReQ4TszeKYvASGZ2xRpf08McwWzvDFdfxLx0PqKhyiQ\nXiKOEEPaHaoGUxHMFsyqTj9v2IWEWcNC0RLwcw1+Xck1nrLbe4Jz+Jhy/Hh7tLZG6I2bU3hmawvy\npthUT/8EQTxa6Bw40BOHX1cuGvmihaCudJsRn5redlodO8HpR/sTyBYldK7aFgd0hqCm4ZND7dCh\nsmqQQFBjZY5JhmVVuYR4XTuU3hN4e3S6rMBJdXBLALDKguHXb07h6a0tODaQgsYZTtnJDqCklz6+\nLYVXPEkQp6i8Vstm5/4wkzchhMT/3FBBxZNdsargH4CtyVWZuFqBbX+yqUrDXdkFcrmB76PSkMVr\nf3jp7pzboXAmbyKoM3Cu44PxWWxrjWJXexQS6rw7zUsAuNnXkE89EOVMgaBPWcm1NgUghIV9PXHM\nZAuIhwN4e3Qae3vi4AzgUkIwhiZbO2xZEprOcOneLPb3JCAgMZLO4onOGCwhwexwgEsJv12MmCla\niPh1NR4HU7gykcHuzph7fJzrsOxxoDOGsF9zM9/RkA+ZvIFIQMexgSQ4Z+hPNqFoKZHK7o4oJGMw\nTBP9ybAr4/DrGoqmBUMoTfTTW1uQN5X1I+MMT3REYQqJI33qO+dIP4K6hkNbYihKjmFbEhPUNZy6\noh44D25JoGB3UXRmnCI+Ds6ZXQexfrLTVGy4RDgA+0EQe7pieO3GZFmnn2TYj6P9SRzubQED4NOA\nD8bnMF+0cOrKffx/H4zjp1cnkLcE3hmbxksX7+LUlfvY0RZFqI5ez6/bfUQJgiA2IBaAc6OzsOyb\n70+vTuBaOosnu5qhMcCncTeIBtR1b/jODAQ43hqdxstX7uOt0WlYAihYAqevTmDOli+YwoIJFdz+\n6NI9nL42ATCOnW1RaFxJL+YKpsruolTwbZiyLHmRDPvxWFsUp67cx08+vF9W0OjouU9fm3ALGr1k\nDMvVhHrf48nOWFnvAe/yhl1EGParIOHJzpjr3nFyWyv2dsfx3t1ZTOaK+PHlcUznim7GsTsWKCvS\njNS5d3i7QC438HUasjjFYpu1IQtHacZjPFPA+/fmwRnD/bkc9vcozfIHE1mYlkDQp7K8ER/Hro4o\nwBgsAJfH5xCwZ0liAR1+nYNB4pm+BJr8GjjjYBKIhf3ImxbGZgtgYAjoGt4am3ZbzjMAmqZ00zvb\novb+qQyygOrCqZoQSdyezYPbGmy/prLNeztjYIyhNxFC0VTjIm8KSEgYpgUNpay0My4+GJ9DMOBD\nwVLOOAwMEds6MqgrmzvVSZTjjZtTYACe6lKdFH265loB6lwqxzL7Ydmn63j39gyEZJBSSZjyRWUx\nqWkq6PdrGlqCOiRUkNyfCCPs11x5zZNdMYyk52EIiXfGpjGVK9qyMBNCNL4YcXN9E9YCOwNydWLO\nfaHBrgQAACAASURBVKoK+VThYDLsx5NdMZwfUxf+V65OwBTKQ7Iy03xmJI19PQn8710d6E8oL1Uf\nL1XKOjg6QqV9qx1MP2oV1QRBbCyUX626YUso+7ptKTWt/NboNISsLkaslcl9/eYUdI3bRYYMe7ri\n4Fyrckw6M5LGZM7EqSv3MWdYuDIxjye7YuhPhN1ER1NALwtAn+yMVXUqdJw+HH3ssYEUQj6ls06G\n/e6+1iscD/s116LMi6PXPj82jR9duofzY9MI+jgea4u694/zto7U2cdXR9LIFi34mMTuzuay5WAH\n15Xv4ehOHybw9TZkef7xDnx8R9umKzSUUkJIlTV1OgWOZwr42fVJbGuNKhky1Dk1LGnPfEgEdKWn\nl1BOH7s6opBOYMdUwacEgyXUw2TBsiAZg2lJZIsCezuj4HZKeGy2gLylgl0mLVcuENJLM+Fhj0+5\nZZnwaRwdsSAKtrWekCqoS0YCYFIiGlAZaOX4oYJjSwJFoY7BKYKE7dpRMJWlnk/X7Ey3BiEEGINd\nEMng15ldkMsQ9usQKGXzn+yMwbCAG+l5W+7BIaHkKremMoAUaAroEBIomBISEm2RAHZ1NKFo70t3\nTDWXmS+YrrzGcbZx5K/nx6bxkw/v49SVCczkzYbHPCTtWCLONMhgqgkcyvj8vF3hKoSsKc342GAK\nQV3DwS0JhHyqsCRrWGB228++ZBjxoA5LCHx0IImsYblTmU7L273dzTBMUaUNepQqqgmC2JhogK0T\nLpduXLwz47pkVMoH6mVyHZlGxrCwMxXGjrYYDve2uI5I6axR5gLgSBwuj8/h8Y6Ya9vlSCe6YwGM\nzRYQ8pUXEzoFTxEfx/HBlLIXs5tmXZmYx56uGEbSWfQmQm7xYjLsLysi5Izh8vhslRvH0f4kLlQ4\nkmRtl4jKQF61mXay3haEzmta9n1sMIXpvMfXtz+JgM7dphfO/aBWq+YH4QSaqjZMBZGb6f6SNwWy\nRQFLAG/emiqTEjhBZNG0cKg3AR9n4Axu0Kk6ZNquFZYFU0r4pYTJlAc6kxIhn2bb2mkQkPBpHFwW\n0ZOIoCgluFQBpMZVsJq3lAWehASYZofqDE4YbQFgXIMQFhjXENBVQFswJcK6hAWGTNFCyKcpswIA\nfl3D6FQGXfGw6okBlGa6JRD2cfW5QgXugjFIKaBpSmrC7fEiwbC3Mwr1SMzcIHZnKoyoLUvpiofB\nJeDTlBq8ya9hW2sUP706gSN9SXWcUv1tqEPJZLKGCZ0L7O+Jw5LA8N05fGRLDLptRRnxaVXy16Cu\nIVe04Nd4Qxu5UCC9DBzjdEuWfBLzpsSh3kTdC/9T3c14vcLmqWgJnBstFSSGNI68Vd4I4HBvAkFd\ndTw6PzbtXhSdCyEDYJjCvZGMTeeQMyz4OF9XGiKCIB5davlInxlJ4+CWBPqTSotaWYzoZHIrtbmO\nPViTX+mqT3l0yQd7E3jXLuJz/JfVTZhjT1ccphA4NpCCJVTh93t3Z7G3J47pKxNuMO/VKgd1rera\nfXhrC3a0RvHB+FzVw4G3iPBQbwKGaWJ7WxQQEie2tboBqGWpaX0vzjR2ZWvyoij5SPu1UvtpLxlD\naVL3dscR1DnCfg1hX7XbU2XiRWnC4xjcuatMh+0smzcFICVypqh6EIgHdXC+OSa1hX2szsNbxlDt\nvff1xFSWlwEf3M/gsfYm6FwFnD5N6ZJDPg4ulV4/oOuYzRfh12Bbyim/aNOSCNg6ZiYlGAPi4QAE\nJIqWgI8D+3ridlDKcPa602SIoWhZbh8KALa4Qrl8cMad+BESEhHXdk85XEgpoNmfEWPAzZkCehJh\n9TsAyRgKRhFBv243ZnHEG7ammqk4hzPYfTMkdDBsSUTs0F5luyEEdrZFbY8NJXHZ15PAfL6onMg0\n1TAmqKuHgqDOkS1asCwTXFM6bZ1z3JvLoz8ZQa6odOk+rr7vO1Nh+HSGoCyX0T7ZFXOz1I1s5EKB\n9BJhUF8qAcCwSpq4dNbAbEUrWKB04XcuxEApU32gJ46hdtUQ4MxIGie2tVYVjLxvD0gJiae3tkAK\nielcsW6XLMfLciVsjwiCIFaCej7SYb/SSx/ta4FfQ1nB4I3JLJ7pS8AwS8WGQV1lwM6P1faZftO+\nrnLO8O5tZS3aHQsAjJVZkB7sTWAkPY8dbVFwCRwbTLnBvOWZWTy4JVF17X79xiSOD6bqFhGe2NYK\nS0rokDAEcN4taPT4Q/cl3Ux4CVl1PXd8tSN+Dc/0JVAUEvlibTcTv8YBWCrJKOG2XfZa53kdP5Jh\nP3a0Rd3iLu/9AoAbcB8bSNV8CDq5vRUR/+YIpDljGEnP46nuOCJ2A5MnOmOYN0zM5fJoi4bQmwjh\n2oQaM0pGYYEzHT5Ng2mPWc5UYO24wwjGMDGXQ1uTkt04tnMMKjBVSmcJnevgkJCMwwKwq7UJgAqQ\n/Rp3p8KF7fahtM1lHbWVrtoOPDmAgFZ6KGL2e+3rbkbBtBDUdbcTaMDvc9d3g3Aom1/lZqMeAiyh\n2pcL+/1GpzLYkghDhwA0pS13WpT3J5sgpUQ6Y6A5qQJ3n8ZxoCeO8bkcuuMhNPk1WMKCBgbB1NH2\ntYTBIOHXVPJR2Puyoy2Gt0fVzJIz9ofao+5sU61GLmtpz0iB9BJhzBbiMwZLyLIL2qV7czi8taUs\ne/H0VlV1XesmonPufgAZw3LbjDr0J8KqUtaeUlNfGAkG6VajzxdMtEUC6O4OqSxG0cKO1ijGZgsN\nGVAEQRCVOMFgZfCnajssGJYE5wyvjpSyyx8dSEJI4K3R8gYlVyfmXZ/pWhncaNCHD8dnkc4aiPg1\n7O2J4xU7WATKHS3etAPf01fu45m+Foyks9jdWZKKVO6zsz4YQ9hXO4Ms7RCFgeHVkYmqG31Q11Aw\nLeztiWOfXbluAdAZ8HLFfr5htz/f2x2HJYCL4zPY0Rqtkoo8vbUFphDug0VldtwJkL2OH04gUisA\nAeAG3PWbja3sGGkkQZ3jia5m3J7O4vhgEoZQ99qpTMG1hFPjLQxARcJFk6Fgmq41oWUJ6LbvtAAg\nhAmda2iLBiEl3ADXMJ3MrPo9qNsuHSgFvR32eypzA+bJOjtIaFCBr7Bt8gBWchUTJjjXkTct5RYG\nQJMSIR93Pzen4YsTrDrBNDzvowoYmR3ccjDb+hdSdWS8NZVFTyJixyWAztU+OM1dtraE7YcANQsT\n1DX0JMIwbCs8P9dUsG4q6YYK0hlyRYlIgKFQtOzz61hBWq5VXiygvv/O/5Xfw7W0Z6RAehlkiwIx\nP0dQ52UXtKBeag+r2yL7kM6BOvZBplDC+6P9SYyk58HA3CyFqiCPIFO0yjPOfQlYAnj95kTZzcWb\nhT7SXyqEGWpXpucZw3SnqEI63zRTcgRBrH8YgCN9ys7Ka2XnvddVZn5raYbP2lrgn15VXrS1Mrg5\nw8TWlgj6WiLIFIUbuDiaV41zFIVw3QgKpu3CISUGUpEyqcjR/urMccSvAVJNT9d6/0zBwpu3pnC0\nP4n+RBgxTzfDZNiPp7pKRY2OfG90OosdbVEctfWjllDSPb+tqY0FdfgAt9/Aro6oe58xhZIGvHN7\npioId+zvnADZa2X3oE5yzt+krP0QxDfRJCdjDDG/BsRCABhupOewvS2GnoRqPhIPcgAMRQEEbVlF\nwMdxPa28oVXY7QgsACYBjavwSgLgTP1dAG5WV4fSMguUn0gOaQfIpQDXyQJzlNw2SsszaABM2B2X\nofTTlr0tJ1iWdnaaMxVUS0+2WnjWVfMasDPT0nbrcJq4KG11USjLve542PWyBgMM00RAA4J24k4I\npbEW0ik8VAWRfl2HZZkwNb0kk3EeGGw7P6d4MmsoS7+DW2KwwMEh8Hinyqzv6Yq5/1d+D7U1HJ8U\nTS0RIYGpTAEC6sIVsKcrPjnUjj3dcfzPtTROX0vjwu0ZSACnrk5gvmDi8NaWMvugQ70JhH0cr9+Y\nwkh6Hnt74ihaAnt74tiZCmOoPYpsUbiDA1AXtoIpqyrLz46k0Z9sKvv98NYE9vUoy5g5w8TLH97H\nSxfv4uUP72M6X9syZinuH0t1CiFnEYJ4dJEALIEqKztH+8kZqwrqvLaiDhlD+fI7U7yV18c3bk5B\nSKiCwqLS9RYtaRcGzkPATioIwLQsPNPXAr/O8cnH2hH0aVXB/JmRtPteQOnaXTAt5Gpcn9+4OVW2\nbn8ygozdFRGo7Qzy/vgcBpJNmM2bMO2kB6ACrp9encBLF+/h9NUJ5IXE7eks+pNN+Nn1KZy+lsbL\nV+7j9LU0/mdk0r0HeM+VtwukkBIBzfbtth09Km30umMBcMbcgBtQM61H+svt7472J1WSaJMgbR34\nL+7MAAwYTEXB7OA45ONuMKs0zwxMqmC2tyUMZhfhhXTdDjgZwJgnAJZ2sKwKCZ0MsxMsO8Gr87/T\nLlxlqUuZYu8yzt1b2LljCyorqqEk0VC2dCqY585+2Pddy90HtZ4s26Y3aGduEO18E1WWmrsyV24H\n1wwSAU0DmIaJuTwAQNdK32/GPBlzSOiakpcw+28SUgX+jCGkqYx2yMcxPleABkDXdGQNCwULODuS\nhpBwv++1voeOXnst2LQZ6ZGREbzwwguYnp5GPB7Hiy++iL6+vofappQSGiQ6m1UHoR1tqn/96Wtp\nJMN+HN5aKjb0TptxxnBhbEa5dtj2NVnP1NiOtqg79ehcpHwaR86o9iutd3NxLpjO7wVTQMj61nuV\n+rZwJLJo94+lOoWsB2eRykr1cCSyJu9LEIS6MVcGkK/bsgqvTZv32maK6tcifg0+jeP89Ukc7m2p\neS10gnLnmsiYutEe3JJwg/m2SADb25rKss/Ht6XqyDhQlv3VOVC0gLC/9rXY8eV1gtfhu3Nul0Wv\nM4jDjtYoChVF5od6E3ZQXdH0ZTCFnMev2vu+le4bznl1fuaMoWBJt4V1zM9rOqkENBXYPDuQxKvX\n0hiZyrr6dZVd3Xyzmnn7ftmfbFKhMJNgtr6c2cGgEzhKO9iD/TtseQUDg2EqBwnJVJbY0UE79nPe\nXLI3C2yXd9p/V9tyM8mw24mjFFQ729DA7PcoBbre5Rw5CHe3LN1gVvOsxz3LO5lwuH+TbjDt7Ldz\nPpyjcvacMVWk2BT0QwK2HrskK+VQtWU+vaTlhv2gUTpPUA8b0oTGdWxtCbvvoXOOgF0Q6nzPaz2E\ne2dW1oLN802o4Ktf/So+85nP4L/+67/wmc98Bl/5ylceepsF04KA+tAsAG/enAKD0kmns4Y9BaEG\njXfarGAJ5E0Lr1ydwH9cuocfXbqHN29NIVMUNXVqZ0bSYCjdSLzUes17wXR+z5sqW1Lrwl1L39ba\n3lnVdvbVa+kqb1SgdovaessuZ/mVxgnkf3x5HP/ve3fx48vjSHX1UlacINYIido6WwkVpEZ8HEf6\nymft/DrD4d5EVSbUsY1zgm8v3qDc+d+5BoY9Geyh9miV9zRsCUPl9iChGsn4OCypGstUZm0r39/5\nWUpViP7u7Vnlfc1rr1MroxasqGtxtNn1jjvo42Xn6lBvApfuzZX5SAspMTZbwJmRNGYNUbOIsGDJ\nKu/ooY5mRPwaogEdEf/mcetwcIKuoN38jNvZU2Upp8Zp0bTcQj8nE+wEp8wOKDNFgUzRcoNS5yw5\n2V0nUHSyvt4M80zehCXV1izP3yDh7ovzDyjPVsuKvzvbZJ73Y1LJPLjnNUBltZmU7ja82XBvsKx5\n1pEArqUzpfe019egxk7QzuJniwIC8HhZQ3lvy5I7SClIl27ALAFIpsMwlUbf2S9TCNddp/J77mWt\nO29urm+DTTqdxsWLF/Hcc88BAJ577jlcvHgRk5OTD7VdS9r2L5yjaDt2zBcsPG3LNt69M+veDLwf\n7qV7KiNR6yJXT6emLGJUFbl3vUCdm8tIet79/aC9badQpPYgKz82rvsW/VRXq0XtQk+AS11+pakV\nyL92a2bNAnmCeNRxig29RPyaewMyBWDZFnFOcd3bo7O4YAegz+3qwIGeOAIac/XKta6rjhvH0f4k\non6uirJRCmqda0C9ArrK661jaXp+bBozeRNnRtLImxZMoSbr613Xnevy1Yk5ACqYPjOSRtYwq94D\ndfalkog9mzmSnq/5vjpjZU1TmoM6jvS3lDVQ8Qb/D9JIM8YQ8mmI+HW7/8EmEkVXwBlDvqi6V4Ix\njE5l3E5+2aIKm38+OgNLCEBa4GC4NZUBk+pv+aIJDvXZOJbG3qDT0VBzALemMmUBrQm4MxcMyg2D\nA8ibptqOEGXLSwCmKAW+zBOUOg1WprMFFXhapp3hljChWogDHqkH1MOAiVKwymr87L6X59/IVNb9\nWTWeAUwwZA3Tzair2i/1d0ceIgBMF5S81Kvrdh5HSpl0iUxRuA8pDNJtSHPI/p4f9Pzv/T6sdefN\nTSntuHPnDtrb26HZUzKapqGtrQ137txBS0vLordz7ty5st+373oC3J7eg4AbPO/rieFjg8o037Qs\nHB9MoWgJHOlL4uz1NNJZA5fH59xllJm75Xqd1pq+tCTw1ugsnuqKuZZQnAHzBQt+jeHYQApFIZAr\nCmiQ2NMVx1C7QN4UePd2qWI9X7TcacVSwWILxsdGMTmZdt9z68C22lX1mQze/8WVsvOwlGWXs/xK\n079jqOYNI5cv4OK7l6qW379//6rv08MyPDxc92+rvf+V34uNwEbc53psxPH5+O49NZuSQKpCIlMI\nV0/5+s3Jsu/r+bFp5axxLY3/tb3VvZY4md4DPXFEg7rb1W1bqglMCliM4+y1CQR1FWjmzZJtXK0C\nusv357Cnq7lMxqFx4OLdOdcBw9lvaQdQTktvZTWmMppP97WAQdXSdMXDGLUdlCJ+DZyrqX7veziB\nfuX10fu6EywzKbGvJw5IZdlXtFQxZUDnMAoFXLn8/oKfSzgSwdNbevHarZm6956HvS5vxPEZjkTQ\n3rMVQljQNB2JSABFU0LXlC3e/h41ft64NYMnO2No9ku0xUK4NZ3DlkQEF+/NYW93FLs7mzF8Zwb7\nexIlha5d2Jc1TExlCmiLhVRwbPvXcQbMF1U88N7dOWxvbYKwTGicg0PaMgcViGtMFSrOGSaagz5I\nO0DmUkJIC2BcOYEEfCr8ZMpr/fL4LLa3NiGgq/ULRRNBn2YH6iY4Vz/nTRN+XXeDcJ+mewJdu3iQ\nK/eOQ72lY9S4kwWXuHBbJRQZVBMmDrht0wEVIA/fVR7dIa5mACxpQbet+2D7bAPq3Ld0x13rv2sT\nc9jZGkVQ59iWaoKfM+zpjkMDcHwwCcu0YBYN3L1xDdcymbLP2LkHrMb4ZHITzm8PDw/jj//4j/Gj\nH/3Ife2Tn/wkvvnNb+Lxxx9fcN1CoeB+ySpPeK5oIWsU3d9NAbe//FNdMbsogcG0BHRNDWhHYK90\n0SYu3J5FUGfY3xN3n8AKlqzWqXGGnH2RbAqotqSGKcqq2AF14Ts+mHLbyXoD5qP9SYR9HEIo78qF\nXDsuvf8+OrYObEqNdK5o4ceXx6vO20a0BXTG5+7duxEIBOou93/Ojy56m7+xt2fRy//G3p5Fb3e9\ncO7cuQ1xc98M1BufGcPE+GwOrdGQOxU+OpXB+TtzrnOFZgeZhpBVFfhRv46fXLlvu2804zVvg5Te\nBK6ls+iOhxDxqYzi8J0ZPNEZdQMER99qWBKvjqRdjfTZiuuuBuEmYBw9a87OVEooB4s7M1m0x0Iq\nmGa8bBtH+pMIcYafXFU1L92xAPZ2x9XWbNswVWDl0ZVKiYKovgf4ODBXKHW5jfg1+DgHpLAzeyVb\nNA6JpsDirqdOvYiUEgVTuL0LGlG7stYsdP2UUmJ6dh6BUAi5oglLKE/oogDMogndp5d9RscHk+o+\nKpXu9xd3ZrCrPYqgT3lCK9cJFUSPTmXR2RxC3hSYyhSwJREBpHBjA0sCBUvi9RuTCOoadndE0RLQ\nYXGG6UxBNW+RAhrjkNKEKTl8nMOUopTBlYDGBDSmw5QCnHF8MD6LXa1RZIXSxu9qjyLk03FudApP\ndEbh5xymBHQmwMFhSEDjHPfncmiJBOBjAmCqhFHCDrQ19Y2yhJqdBwPeHp3G/u44JFMNkp7tSyCg\nK39tnXEYlgk/1+yAGDh1RT3gHtkaA5iGvGlBZ0oD7WTANQAFAVxPz2NHawScceQsibN2D43dHVE0\nBXRonNVsPuRlte8BmzKQTqfT+MQnPoE33njD7qhj4dChQ/jv//7vB2akFwqkpZSYzRdhCQlTSIR9\nmludywG7uMBxepZK2yQlTl8rffDRgK4KGOD1hCwvCtAgYYIpyxj7ycz5mIwaF9zr6Xm0RtVNxG8L\n+9kSC0LOnTuHffv2VbWOrTc4a7WZXWggL3X5laRWIP/0lmakoqENd8NodCD9/+zphrZI3ytLyEUv\nu5pQIL121BuflmVhtmC5QVt3LIC9dmaV2Rk3qDgTli0F8waQymuZ4UzFTZRBZawd68+nt7bg1lTG\nbprB1I1b2oG0rdOE7RCgOzpY6RR3OUVPqrmGZAzcDnJfrbjmjs/msCURVm2zPQEthMCl8Qx6EyFE\ng2rC9/zoNPKmdPeZM6dwHRCMe4rJ7EcMe2NO4y8nAaJB7ZMzZb0S11PnupzLFxAKBjZ9J9wHXT+d\n++BsoYhMQRVwBuziQR2A5UlIBTig264Yte5vQghkixZ8YMgJiZH0PLa3Rm2HCsBnP+EJCW+nbgBw\nuxIDKGvA9lRXzG2OEtLtgBms1I0SnoJEBvdBaVdrEzqaQ+64z5kCw3eUJ3ncrylvaJSKDLOWwEy2\ngLZoSI07O+g3pdpmxI59AEBIgaIAhu/M4CPdUeQEx/CdGezpioIzJRBx5J1Rv3rQLYpSp9OTAy0I\n+HW3YNZnO3YApWJI50HYFGJZD5CrfQ/YlNKOZDKJoaEhvPTSS/jUpz6Fl156CUNDQ0uSddSCMYZY\n0IeCacEUjj8kwO2Ra8pS5aqU6n8fYzi5rVVpjljp6ZNDTYdIN2Auv0AyOwhh9vsqo3GJIJc4ub1V\nXWg5g58DO9tjC2abl3J8i83QLmXZ5Sy/kngLZ5wL3fWrH6L1sccasj8bGY2zTZ29JlYHTdMQCwAn\nt7e630ENKjBRgYfmWpDpkqE5xO1rnA4GCUsCAQb1HbYjY+fm+pHeFuwT0g1Ad7bHENSYJ7OspqRz\npnC7z4V1zb1OloIg2NdhtZ7zWkhj9n7b13AJbGmJIKgxXP7wQ/QNbnePiWkMT3TG3LlwjQH7tySq\ngmGGUpMtJhk4V++7lCB2Ja6nznX54ruX6GHThjGGWMAHv+1/vJgHlVr3N03T0MQ58qZAgEvsbI+5\n9+2lPLDEQ+X3roCm3FeElPBxVQBr1bn/h3yybF1njAV0gb1dzQDnsGqs57MsBPSQMiVgSk9vShXr\naHbW2Hk/xpQXuzPOwzqwvydhnxf1oKCz0nda44BPU9cCKdU9JaAx5Zn+gPPdyITcQmzKQBoAvva1\nr+GFF17At771LcRiMbz44osrsl1Vkbq6p63eBTJUJz6ObCx1QkOovNBlK/RTBEGsLpqmIaLVzw4x\nxrBaLac553W3Xe8hfzGBajaT2XDyMOLBrFTiZyW2U2sb9WKBxb4/5xyXL/6i7sOT8131slDUsxIx\n0WKOqZEJuYXYtIH04OAgvv/97zd6NwiCIAiCIIhNyqa0vyMIgiAIgiCI1YYCaYIgVgWrsuvPCi1L\nEARBEOuFTSvtWC5eE5NCodDAPVl76HhL+P3+dVHEUInr3mIYdZdZyM1jLVlqYeJqjr/NNrY38vgE\nNtfnsVmOZSWPYyOPz83yeS6GR/VYV3p8bkr7u4dhbm4Oly9fbvRuEA3mQfZyjYLGJwHQ+CTWNzQ+\nifXMSo9PCqQrEEIgk8nA59u8pvTEg1mvGRUanwRA45NY39D4JNYzlJEmCIIgCIIgiHUAFRsSBEEQ\nBEEQxDKgQJogCIIgCIIglgEF0gRBEARBEASxDCiQJgiCIAiCIIhlQIE0QRAEQRAEQSwDCqQJgiAI\ngiAIYhlQIE0QBEEQBEEQy4ACaYIgCIIgCIJYBhRIEwRBEARBEMQyoECaIAiCIAiCIJYBBdIEQRAE\nQRAEsQwokCYIgiAIgiCIZUCBNEEQBEEQBEEsAwqkCYIgCIIgCGIZUCBNEARBEARBEMuAAmmCIAiC\nIAiCWAYUSBMEQRAEQRDEMqBAmiAIgiAIgiCWAQXSBEEQBEEQBLEMKJAmCIIgCIIgiGVAgTRBEARB\nEARBLAMKpAmCIAiCIAhiGVAgTRAEQRAEQRDLgAJpgiAIgiAIglgGFEgTBEEQBEEQxDKgQJogCIIg\nCIIglgEF0gRBEARBEASxDCiQJgiCIAiCIIhlQIE0QRAEQRAEQSwDCqQJgiAIgiAIYhlQIE0QBEEQ\nBEEQy4ACaYIgCIIgCIJYBhRIEwRBEARBEMQyoECaIAiCIAiCIJYBBdIEQRAEQRAEsQwokK5ASolC\noQApZaN3hSCqoPFJrGdofBLrGRqfxGpAgXQFhmFgeHgYw8PDjd6VNeW9995r9C6sKRv1eJ3xaRhG\n3WU26rGtFnQ+1o5HbXxulmPZLMfxIB40Ph+V8wDQsa4kFEjXYaEbwWYkn883ehfWlM18vJv52JYD\nnY/1xWb6PDbLsWyW43hYHqXzQMe6clAgTRAEQRAEQRDLgAJpgiAIgiAIglgGFEgTBEEQBEEQxDKg\nQJogCIIgCIIgloHe6B3YyEgpkTcFhJTQGGBJQEiAMyCkc3C+/OcU77Y5YwjqHIyxFdx74lFBCIGc\nKWqOzQeNMxqHxErz+O4nFr2sJSQ0TuONWP8sdJ1dD1TuX0tLstG7tGmgQHqZSCkxnS/i1WtpBHUN\ne7pieOPmFDKGhYhfw9H+JOJBfVlfJO+2ne09O5BEPOijIIZYEkIITOdNnBlJV41NxtiC44zGIbEa\nBAN+/J/zo4ta9jf29qzy3hDEw7PQdXY9BNO19u9IXyeEEOti/zY6dAaXSd4UboAx1B51g2gAQerg\n6wAAIABJREFUyBgWzoykkTPFQ2/b2d6r19LIL3N7xKNLzhTuxRMoH5sPGmc0DgmCIB7MQtfZ9UCt\n/Tt7fXLd7N9GhzLSy0RI6Q7KgMbdnx0yhgWxQPOkhabMvdsu3x51YyKWhpBYYGwuPM4edhySLIQg\niM1IpUxi4ets41nv+7fRoUB6mXDGEPFryBgWCpZwf3aI+DXUk/Y9aMrcu+3y7VEQQiweKSUYUHds\nPmicPcw4JFkIQRCbkVoyiRPbWpcUA6w1nNW/DxAPD0k7lklQ53i2P4mIX8Ole3M41JtAxK8BgKuP\nCum1T++DpsyDOsezA8my7T07kESwzvYIohZ5U+Dy+CyO9Cdrjs0HjbOHGYckCyEIYjNSSyZxeXwW\nR+tcZ9cDIZ1X7d+RvpZ1s38bHcpILxPGGAI6x97uOAIaB2cSHxtMAQA0zhas2H3QlDljDPGgDx/f\n0UbT4sSyEVLig4ksDAs4NpACY4CUgF9j7thcaJw9zDgkeRJBEJuRWjKJDyayeKwthpPbW9elawfn\nHPGgXrZ/42OjSPb3NXrXNgUUSD8EjDGcH5uumi75+I62Bb9Ai5kyZ4wh5NNWZ8eJRwJnnI1MZTEy\nlQVQGp8ODxpnyx2HJE8iCGIzUk8mIRkQ8a/fkIpzjoi/FJdMTqbR39/XqN3ZVKyPx6UNynKnvkm6\nQawFjRxnNMYJgtiM1JJJrCcZB7H2rN/Hpw3Acqe+SbpBrAWNHGc0xgmC2IzUkkmsJxkHsfZsik/+\nb/7mb7Bz505cvnwZAHDhwgU8//zz+MQnPoHPfe5zSKfTq/beztR3xK8j5NMWDBSklMgVLWQME3lT\nIKjzRa33ILzbzRUtSNKhPtKEI5GyccbQmPGwlO8GQRDERkHJJHREAzoi/vXRdGUzIoRAxjAxVzCR\nMUwIsT6L1Td8Rvq9997DhQsX0N3dDUCd+C996Uv4+te/jgMHDuBb3/oW/vIv/xJf//rXG7qfq2UH\nRjZjhBcpJVJdvfjx5XF3PBzqTeCd27PImxaNDYIgCGLds967RXpZX3uzRAzDwJ/92Z/ha1/7mvva\n8PAwAoEADhw4AAD49V//dfznf/5ng/awxGrZgZHNGOElbwq8dmumbDy8cXMKQ+1RGhsEQRDEhmC9\nd4v0sqEz0n/913+N559/Hj09Pe5rd+7cQVdXl/t7S0uLerKZnkY8Hl/S9s+dO7foZcORCFrbO8F1\nH4RZxP17dwDAfU3X9Zp2YLl8ARffvbSk/fLSv2Noxba7lOPdDNQ73v3796/xniyd4eHhmq/XGw8B\njbs/F00L169+iGwms+r7uV7YTGN7I49PYOn7v94/u/W+f4tlpY5jo49P73loaUki1dEFyRiYlJi4\nexuTk6snFV1r1vPY3f74kzXvZZaQy9pvZ53VGJ8bNpA+f/48hoeH8Ud/9Eer9h6LPeE15RX9A+Ac\nOH1VvXbMdjCotMwJBQMP9cHmitaKbPfcuXMb4gK4Umz04929ezcCgUDV6/XGQ8ES7s/zhoWOrQOP\njMRjo3/WG5F643M5rOfPbrOMrc1yHIul3vj0ngdHWvDKNa+0oAtbt/auO2nBcljvn3nGMGveyzTO\nlvUwvprHumFHw89//nNcvXoVJ0+exIkTJ3D37l38zu/8Dm7cuIHbt2+7y01OTqoq2yVmo5dCTXnF\nSBqZguW+Nny3uvvhStiBkc0Y4SWocxztaykbD4d6E7h0bw4Rv4aDvQkM350jiQdBEMQCbCRpwWZk\nI9kMbtiM9Be+8AV84QtfcH8/ceIEvv3tb2Pbtm343ve+h7feegsHDhzAv/zLv+CXfumXVnVf6nVx\n0z1PremsgXduz+Lk9lYAWDE7MLIZI7wwxqBBuB03hZSI+DQ81dWMgiXw7u1ZpLMGAFCXQYIgiDrU\n6mCourM2aIceMTaSzeCGDaTrwTnHN77xDXz1q19FoVBAd3c3vvnNb67ue9bp4mZWWLXkTQt8FToW\nUhdEwkvRMHD+dtYdj0f7kzU7cFKXQYIgiNrU62DI6bK5ZlR2Y1yvbJpA+tSpU+7P+/btw7//+7+v\n2Xs78opyjXQSnJe+iCS5INaK+/fu4NmBAXc8jqTncbQ/WWYjRGORIAiiPo60oNJ+bT1KC4jGsmkC\n6UZST14BgCQXxJqTzWSqxmNAYzQWCYIgFslGkhYQjYUC6RWinryCJBdEI6g1HkN0/ScIglg0G0Va\nQDQWCqRXGSkl8qZ4YCZwscsRxFJYaFzRmCMIgmg8QgjkTEGZ7w0KBdKryGLbd1Obb2I1WGhcAaAx\nRxAE0WA2Uitsojb0Ka0ii23fTW2+idVgoXFFY44gCKLxkF/1xocy0itErWnyev7Slf69QkoEdc31\n/i1YApfuzZHPL/FQSCmrxlQ6a7jjisYcQRBEY9nIftUkSVFQIL0C1JtCD+m8jg9l+dS5xoA9XTG8\ncXPKXf9QbwIazbATy0RKiYIpXP9op6vh5fE5cMbAIGnMEQRBNJiN6ldNkpQSj9bRrhL1psklWFn7\n7u5YACe2pSCERK5oQdrZPwnmBjTO+m/cnIIl4S5DEEshbwrVpt4zpt68OYV9PQkAgJSoOeakBHJF\nCxnDLBujBEEQxMqz2FbYQghkDBNzBRMZw4QQjZV+kCSlBGWkV4CFJByOn6+TITx1ZaKquKve+lnD\ngmEJKgAjlsxCY+r1m5M4Ppiq+XdTSLxy9T4VIBIEQawBi/GrXo/Z340sSVlpGp6Rfuedd2q+/u67\n767xniwfp0W4F0fC4fj5MsaqMoROcVe99Z1MNxWAEUul3pgqWAIZw8Jcwaz5d5XtoAJEgiCItUL5\nVeuIBnRE/NXB8XrM/jqSFC8bQZKyGjQ8I/3bv/3bePvtt6te//znP48333yzAXu0dLwtwoO6ht0d\nUUQD6tQ6U+NCShzta4Gulb4gWcMCkxISqGpFerg3Ac6Ajw2mYNpSEMfnl/x/iXpIKTGwbQcgJY4N\nJJExLOicwxQC0YAGzjj+76F2FEyBYwNJnK5oa//zW9Nl26tVHEsQBEGsHQ+b/a1VFLgYTNNEQcBd\nL8ABXdchhABHddyyFi3U12OBY8MCaSEEpJRl/xxu3rwJTds4HQGdFuH/145W5IolbaoTnHAOvDM2\ng8faojhzvSTtONSbQFEI5EyJ9+/NYm93HEGd244fFvIm8NOrE2Xbag7qmCmY5P9LVCGlxGyhCKH7\nkC2aEJLhrVFVbNgdC+DxzmacHblfdtE73JsAwGAKAc6AoF4+hmoVxxIEQRBrx8MUJNaThbS0JBdc\nzzRNzBqiar0YSq+3RQI4NpgCZ2oWdLWD2vUocQEaGEjv2rXLDfx27dpV9jfOOX73d3+3Ebu1bBhj\nkKgh3xhJ40BPHP3JJrxeo7jr2GAKr99Q64zNFgCoL8ixwRTeuDlRta2T21trFjZ+fEcbtSN/xMmb\nAplC6UL71mhpvPUnm3C2xtTg3u44zoxMAFDj7sS2FKYrdPzBVc4wEARBEPVxChKXk/2tJws5PtC1\n4HoFgZrrndze6r4+YmQxMpVFxK/h5PbWVQ9m6x3Lye2tDW3l3rBA+uWXX4aUEr/1W7+Ff/qnf3Jf\nZ4yhpaUFwWCwUbu2bOoVeOmcQ0f51Ewy7MdQexScAXu7467Hr/f1elM5i/GmJh49hJTQ7QsZ5+Xj\nJKDxmuMm4JEaZQwLDAwf39FGsiGCIIh1wmIKEutRL2aQD7iuLyQnqfU6k1BuIqsouVivBY4NC6S7\nu7sBAK+88kqjdmHFcQq8KqdfTCFgydLUTDLsx5NdMbzp8fA92JvA9XQWfckw3rw5hb3d8bpTOYvx\npiYePThTEg2dM/g1rWycFCxRc9wULFH2O+eMZjYIgiDWGaogcemBab2YgT0g+baQnKTy9Z2pMPJW\ntQxkpSUX69Vzu+HFhtPT0/j7v/97XLp0Cdlstuxv//zP/9ygvVoc3qI/jQFMVovvn+1PgjPgndsz\nONybwOs3pzDUHnWDaKDk8XtsIIXT19S0+qV7czjYmygLtp+1p3KODSaRKZSKyCIBjabfCQTtBkAa\nZ3h7dLps/Iyk52tODQ7fmQEAknEQBEEsQL3Cu6Wy1sVy9WQhE3dvI9rfV3e9AFfxzPX0PAZTUTBb\nB+287t3ejrYYTl25v+qSi4eRuKwmDQ+k//AP/xCGYeCXf/mXEQqFGr07i8bbzTCoa26XuKCu4UBP\nHE0BHYwB50enkTcldndEEfZpOD6YAurINrzT8emsgXdvqwLEeMgHnTM3yBECbhGZE2ATBKAuzEIC\nY7MF5M3yFuEaSr+HfByAxEd6W7CfZBwEQRB1WajwbinBdCOK5erJQkYm0+jv76u7nq7riMFEX7LJ\nTfC5x+3nZdtbK8nFw0hcVpOGB9Lnz5/H66+/Dr/fv+R1f//3fx+jo6PgnCMcDuPLX/4yhoaGMDIy\nghdeeAHT09OIx+N48cUX0dfXt6L77e1muLc77naJyxgWTl9L49hA0g12AeD0tTQifg17u+MAak9P\nCFn+ejpr4PzYdFkhYa5o1SxopGJDIm8KzNnFhhG/hnTWwJmRtPu7KiwsjUNnbEX8Db8MEARBrFsW\nKrxbytWzUcVyy5WFLHTc3vtGxjDXTHKx3GNZTRp+B925cyfu3r2L3t7eJa/74osvIhqNAgB+8pOf\n4E/+5E/wr//6r/jqV7+Kz3zmM/jUpz6Ff/u3f8NXvvIV/OM//uOK7re3sNAp5HIKBSM+Dr+u4Zm+\nFuSKwi0kzBgWmoM6DNPCkb4kzl4vZbPDfg0MwMnBFM6NTWNstuBmm73T7bUKGoO6Zr9uUmbxEUZI\niYifQ2ccJ7a1QgKAlPjw/hy642G8c3vWzSgwOztd2QKcPMoJgiDKERLY1dqEjuYQJCQYGO7O5Moy\nrouRbKzXYrl6LLawsJbc42EkF5XnMsBRJqtZD1loLw0PpA8fPozPf/7z+NVf/VWkUqmyv336059e\ncF0niAaA+fl5MMaQTqdx8eJF/MM//AMA4LnnnsOf//mfY3JyEi0tLSu2397CQiElumMB7GiL4vL4\nHHa0RXHmSsmv92BvAu/enkXeVC2a37w1hSN9CTyzNQHOedngO9SbwJOdMezuAHSNw6+xskCmsqAx\nGfZjT1cML39IbZ0fdTQGmGCYL1ruDIl7QeMM+3ua4dM4LlQ8qIV80m3048iVaCwRBEEofAxoaQq4\nOmDnuuqzL4uLlWys12K5eiylsLBS7rHcYLfyXO5MhdGXbFp33tFeGh5Iv/XWW2hvb8fZs2fLXmeM\nPTCQBoA//dM/xdmzZyGlxHe+8x3cuXMH7e3tbkMXTdPQ1taGO3furGggHfQU/UX8Gvb1xHHqygT2\ndsdrFhIeH0xBY4AEw8cGU5BQ/dlfuVruFf3GzSlXY10wBTSuIV80YUlb6K8xt4tixrCwuyPqBk1q\nvzTkDAs+zqFxyig+Slh29sArKXKn4ra1IqhrkFJid0cz9nQxWEIgV7QQ0DmkBMCAkYn5Ml31L27P\n4CO9LTVlQ5S9JgjiUcAC3AYkQwOq8E5C/QMeLNlwMqxaDUOC9VAsV49axX2VhYVtkQA0zpCz7MDb\nVyMTLwQKpnIvk6gdaHuX8Z7LwVTU1WgD68c72kvDA+nvfve7D7X+X/zFXwAAfvjDH+Ib3/gGvvjF\nL67EbgEAzp07V/dv4UgErd1b8dboNIK6hqe3Jlxf3pqejQAMIfE/HtH+xwZTdX2nC6bATz6872ap\n37Ez2k9vacZ8ehzPdCXAdR90vTw7XWmr9/SWZkzcvolsJvNQx7sZqXe8+/fvX+M9WTrDw8NVr+3Y\n/SR0Xnv8CUicH53GzraoO5YO9iZwZWIej3c249ytaQR1Znc/LF00D/YmYBgGLr57sWyb4UgEqa5e\nvHZrZlljba3ZTGN7o45Ph6Xu/3r/7Nb7/i2WlTqOjT4+a52HHbufRFskgO1t1YV3d8euI9nZXfO6\nawmJkZHriLV14sZkBluTTbiRnsexgZTrgpGdmcL5SzdX/BgXw2I+85aWJI4PdEEyBh0SFkry0v5E\nWJ0TTwfmI30tmB2/g8nJtLt+sqMTRcnK7i1H+5OYuXcbk5PpsmV8nJWdS1bHnMEScklj1ll2NcZn\nwwNpIUTdvy0lbf8rv/Ir+MpXvoKOjg7cu3cPlmVB0zRYloXx8XF0dnYued8WOuG5ooUfXx53iw2Z\nLbmo59c7XzABoOypar5QW6Dv+E47y71h+0qfGUnjtVsz+PiOLWXFh842atnqqeW3P7AQ8dy5cxvi\nArhSbPTj3b17NwKBQNlrGcNUdoh1Cln7k01lY8nxKz9rdzgEUNX98M2bUzi5vbXqXHnHv7PsYsfa\nWrPRP+uNSK3xuVzW82e3WcbWZjmOxVJvfNY7DxnDxFBH1A0Y1WtOZrQHQG3JhsYZ2rp78PKH98vs\nbT+YyLrLnNzeiv1tratxmAuynM88Y5gQQpbFHJXZ4rPXJ3Fye4/rCKLuSxJna2aV1XLeZY4NpMrO\npZT1z+1i93+1x3fDA2lvq/BKLl26VHe9TCaD2dlZN0A+deoUmpubkUwmMTQ0hJdeegmf+tSn8NJL\nL2FoaGhFZR1AedFfyMcBKXGwN4HL4yX/56CuYXdHFE0BHVnDgl8rP87hu3N4tj/punA42WeNA2+P\nzpaO1Sh1oHM02Q5BnbtSj3rZ8NXoekjT+usPLoGmgLJYdD7xvC3duHR3DgPJSNVYcsZMyMchRO0n\nf9QYPvW6eFKHTYIgNhsBvnChYMRX3984UxSqQG+BbsULUauIEcCaelG7+yKBS3fncKQ/ibMj6UUd\nk5AAw8LLeZe5dK+0/Yxh4erEXF0/6/VCwwPpl19+uez3+/fv4+/+7u9w/PjxBdfL5XL44he/iFwu\nB845mpub8e1vfxuMMXzta1/DCy+8gG9961uIxWJ48cUXV3y/naK/oK7Br3FYAC6Pz6E/2YSI7Rdd\nFLLsi3WkrwXJsB/prAEAyJsWdK400w4MwPmxaXcZoLwDXWUXQ8YY4kGf29Z5LboeUlHa+oRxwDAk\nfna9/MHMEhKGZbmzJd6x5Lzm1ziyllV7/NSohKnXxZM6bBIEsdnQdR1cLGzx5uPAscEUGGwdsJ2B\ncAr26mVWFyo0rFXEeHwwiaLHlm4ti+84A8YzBWAcODaQWuA+UL6O+YBj9y4zMqWy9Y78ReMqaK7l\nZx3nYl0UHDY8kHZahXt/f/HFF/HpT38av/Zrv1Z3vVQqhe9973s1/zY4OIjvf//7K7qflTiZ4Jxh\n4cLYNJ7ojLr60qCu4fDWRFXxwdnrkzjQE3c9pY/0J/He3TnMFkw81d2M129MunZ403mzLBhyrMtq\ndZ9jTLV1llKWFSKuVrc6r4e2c2yvXiMv60YjwfCz65M1i1ef6o7jwth02VjyzqBcGJvGY23R6s6c\ndcaPdyZkNccaQRDEemChrno5U+CVq+mqQPHk9lZ3vasT5ZnWxRQa1ipiFGA4M9KY4jsOuMcw8n4W\nO1PhBxZPhnSOjGEueOyVy4xMZTGeKeBofxJNfq1h/tuLpeGBdC3m5+cxOTnZ6N1YECcT7OMcfk2D\nzjWAMZzY1goGQKD2VEY06MNzu9pdH8rZgomh9ih0Bpy0vX851M8C6klNY8CR/pYHSigqs9OOS0i2\naK2o/IKm9dcn9T4XnavP/UBPAhLA030JMDBYloX+ZBPevT2LdNbA3p4EfBzu+FlozFSONZL3EASx\nmVmoq56Qoq50wVlvZ3sMTGLRFnFCiJpyEkcC0Z8IY6jddhCRAJPV6y8k/2hpScLrBf2gfXG29eH4\nPD4+mILFGCQkNLCyeKVyO6qBig7dFG5/g7JzZ7t1aIwjpAEntrWCA5B2x0TnfZcji1krGh5If+lL\nXyq7+ebzefz85z/H888/38C9WhyMMegc2NHW5NrYORnksE+rOZUxly+WZaQ/0uTDqyOqQHBnKozB\nVBMypijzAX62P4l4aHGyCW92erXkFzStvz7hqD19ZgqBubxA0Kdh+M6M6yF9sDfhNguK+DVM54o4\nPza96HHijDWCIIhHgXpd9R7kD73UbnyOpEPj1fdaCeXlvLWG1CEohBucLuRrLYRArK2zrP9EPXmI\nd1vHBlJob/IhJ6SbFff6SNdrl845R6jG8QshkDFMGKJU6F7LN/rEttZ17b/d8Jz41q1b0dvb6/7b\ns2cP/uqv/gpf/vKXG71ri6LS8zCoa7CEBIPyi4z4VaDhaKRvTuUA2FKPkTQ0Xhocg6moOx1fJpsY\nSSNvKs/fjGEiV7SqOtJVUk9+kTfru6QsFmda33ts631aX0pZdv7CkUijd2nFkagec4d6E4j4NaQz\nql14f7IJQMmRY6g9iohfw0f7WxDUOQ73tiBnWCiYVu33qDiPDxqHBEEQmxkhBDiqr70P4w/tSBmc\nwj7vdjkkdrTFcHYkjV2tTfjfuzpwfFsKfo3DsO/v9aQQOc/fz1bIAL1/d44rY5jIFkvbunRvDq3R\nUM1tFypCC2f9uYJpu31Uxx45U0CAlblFDaaiVdu/PD67oud3pWl4RvoP/uAPGr0LD4V3yqHSx7k7\nFsDxbSkYpkC2KPDe3VnsaItitmC6LcMZg1uAyBjq+gCblijLej8oa7ia8ouNNq1fKzv/9JZeSCnX\n7T4vB0sCfs5wpC8Jv646BmQMC+/cnsHjnc1ljh2A+ltzUMfBLQkYAnj9xmTZLEhALz8/VGRKEARR\nwputbYsEcGwwBW67SjyMk4YTV4wY5YV3nDGEfcoJZFdrU81uizo3HyiFeODfPcfl7XcxMpXF453R\nBzt1LLLTYy1Hj1pOIIZVv5hzPbAuwvkf/OAH+OxnP4tPfOIT+OxnP4sf/OAHjd6lReNM6QCo8nEe\nmy3glSsT7hPd2GzBzQICaj0G5v4uJVwfYC8Rv2Y/1S0+u+zILyq3s1LyC2daP+LXEfJp6zqQqpWd\nf+3WzIpk59cTnKkOXLrG8MqVCbx06R5euTqBsdkCzo6kMdQRdR07ADUeZvImikK6QTRQPgviZTVn\nOQiCIDYa3szvyFQW/3HpHl65MgFgaX0wKvHGFSNTWfzH+/fw06sTKpjmHJwBHc31M8Pe9R0qXTIW\n+rv3uCpjCYZ6sUXt8+Ldt1zFvYLbHSK923PcTbwMdUTxytU0/uPSPfzo0j11nq9Wb69RNDwj/bd/\n+7f44Q9/iM997nPo6urC7du38Z3vfAfj4+P4vd/7vUbvXk28wnsNpZaf9XycK7OAIR/HsYEkmgI6\nGIBkyIfnd7UDYIgGVMfDgimQNwVG0vN4orMZBVO4metk2I+h9ihMoabZGaTbQtzJDJOrQolHpTiS\nS/spnbGax+sUeCTDfgR1hr09cRRMAb/GEdTL9WcZQ3WOyhimO64elfNIEASxGFa6CM6JLdgCrcQd\nKYnp6TD4ke5mdDSHwCFV8SBQ5ZJxpD/pFiSGdI4jfS24MZnBYEqZHUjG7OMpz2gzKd1ttUUC0KSs\nuW8BDpimiYKof16YZ/uc2f7cQm3/hu0TrbPSsbdFAhjqiIIv04N7rWh4IP39738f3/3ud8ts8I4e\nPYrf/M3fXJeBdM0pi74W13GjliC+MgsY0LlrU+ZtwnJzMmuL7CfKBv8H4/MYzxRwsDeB6+ks+pLh\nsjbg3hbi3qn2jSS/WE0emeJIe87LyRhUHq8QwM9uTOJofxIcEq9cmagaQ45/ecSvYdZTGPvsgLqI\nPxLnkSAIYhE8qMhwKVTGFjtT4SqXCwDuMk4BniPxuDw+i63JJpwdUd0Bva3IpQSuTsxhZ3tM7Tfn\nsDKz6Es24+rEnLtereI+UwI30vM4OZhCQUjcnc+jvSlg75sEAwOXKsaZNYRblFh5XnamwshboioA\nj/k5fKLcJ3pnKoz/ta0VeUvg9NXqbocPc55Xg4anJ3O5XFXXwXg8jnw+36A9WpiaUxbXJ5ExTJiW\nhSN9LeUFhv1JjKTnS7/3teD86HTZ+m/cnIJhypoi+7MjaXTHQ2XFYZVtwN+wX6+cat9I8ovVpFZx\n5NNbmjdddl4AmCuowozKApUj/UlcujfnTrFli6JqDO3uKEmODvUmMHx3zv37q9fSkGAbrsiUIAhi\ntXA8oleiCK4ytvhgIotTV+7bwbrSFnuXcTLDjsRjMBV1M9CX7s39/+y9a2wc1302/pyZ2Qv3vtwb\nLxLFFUlJlHWxbFlSKvmVJTlxo9hyX6D4J29vQIvUaNoi/ZAUKBAjcZOghpP0TVK0Sex+aJOibYqg\nQFpf0iaxZb2VYtmOIl9kUZZEU5JFibflbbnLvcyc8/9w5pyd2Z2lKVnWUtY8AEHu7FzOzB7Onvmd\n5yJdPZ4dGseRd6bQmwjZ/Z3D0YbtAFE5ZvI7ROxLBzdWSIXb8PPhHJ4+PYZnTo/j6dNj+Pkwp5RY\nRYn130Hr0pGmVBQDaDj3KmNL7s8VG1pw77334vOf/zw+97nPoaurC6Ojo/jWt76FPXv2tLppjqCM\nO3Ns647BpyooGxRD43loCuGe0gS2p8BLM0VkEyHc2R2DQggYYxidL9v2Wahwr99m0xfWSGdFee91\n3Kl2O5yq8xeGzyG1YUOrm3ZDwRgXq749VYRHVWXFgFJgaDwvE6NEf7OiUOEe558YzEAhPNjFmq4p\n+pW4jgZlPHXq9nw2c+HChQsAfDDt5I98rainQwifaEG3qI8prwKYXigjE22TxgVWUSBgpg8qRNIo\nOCWV8kquSQF0EvcZ4H7RMl0QADXXY2ik+O1YFZVts9JMrNflvWgw6aAPg2stvthY+nxuViz6ctDy\ngfQXv/hFfPnLX8ahQ4dgGAY0TcPHP/5xPProo61umiNUAmztith8nnetaYeiEJwYncUdHRFpK2NN\nj+tPhhD2aSjp1HGKwpyTX5IaEvSqoE2iNptFiLvgqPc8LhYKLWzNjYdh8BucTim6Iz6kwlzNva07\nhpOjsw39Ra+zIuLCVyBf1hH0aSjV2d9Z+1VJN1znDhcuXNzWaOZMcb1VUitNJBsPYCA+BXejAAAg\nAElEQVRtpzr0JkI2X2nGgNOTC+iItiHobYwgF+mAIl2xnjayLh1x3A7gAsCJQhkjZ/gANhsPYFNn\nRBokWNfft7YdXg/Xe+1aHUU00OgkEvEqKNPmNBgFsJ2vk3e09XyC3pYPXW1o+XA+FArha1/7Gt54\n4w0cPXoUr7/+Or72ta8hEom0ummOIIAcRCcCXmzrjoE/3BEMZiIN3oyvXJrBnd0xBL0qqoaBoEd1\n9Ppt86g4eXkWO0zfX/GemJIX6w2N5RvW2WkGa7hT7bcvSgbDycuz8GoEd3bHJP1naLyxv4j+V7+M\nMB0BrwovafREFf3Kde5w4cLFhxlO/sdOy5brTLFctGkK9vUlcHAwg82dESnuO7ghI2kRwld6fTIg\nRXmT+UVbBLkT/aG+rX3JsKQA1m+3PhmAhxDbd8BgR1h6OYvjifdCfi+OjuQwNrfY4DG9MRWCV1Wg\nG5Be2+uTARzckMEnBjPY35/ilXaggV6y0r2jrWj5sP7HP/4xNmzYgA0bNiCRSAAAzpw5gzNnzuA3\nfuM3Wty6Rojo73rP6KBXtfktChQqBgi4rZ1CgHxFx9sTeWzrjsGvKfB7FJSrBsoGxeh8GSWd2Wgj\nfoVgd287GCCn2+fLulwn6FOXHSHu4sMLyrjdoldVbT6fuWIFb1yZx7buGKJ+DXMlHV6F4Oxk3uYO\nc+rqHDZ1RjExv4h40IeRXBHbV8UQ9mnQVEX2K9e5w4ULFx9WtLcnGqrM+/oSqFr4v2JA52ni0vV+\nnCSqFLiQy2MgHUY66JNVWjG2GKkUkQx40JsI4fnhKelq4SNoGkHOo8bt921COA+5YnDbXo3UorlL\nBsXPz0/afLEBgojPA48CtIf88AKSOsjM8351dA4PRv02J5H2kA+T+UVEAz4cNQNkeh0SGZ2u5dtT\nRWxIR5Ydqd5KtHwg/e1vfxs//vGPbcs6Ojrwmc98ZkUOpIUDhJPob6GsO05dEEJw9MIM9vYl8bKp\njBU86aCX861VwhD0qsgVeQKdeG/7qhjiAS8AyOl2sU7Qq+Kj69LwuzHNtz3EtGB3rA35kr0f5ooV\nnBydlTSP7atiSIXb8KIZ8CMwW+Jq6yPvTGFbd0w6dnx0XVo+nN02DiguXLi47ZDs6MLhuhk3CiKd\ntMSyoyM5k2Jw45wkRNV479okKONV4CPmPdpKv0iF/XIgOlIpYmSmiKBXxYGBFAK+xiGdsOq1tlXc\nx0dmipJ/LPYhfbHr9t0RbZOUDev5Wq+DlfYh1t/fn5LbWdu+nGvJTKHlSkfLW7iwsIBQKGRbFg6H\nMT8/36IWLQ2/qdLlHruG9HT2qdxn18lfkYBhX18ShBDs6mmXAsVcsQK/pvK0H9LoG7k7m8C5iQVE\n2zwIeNSmvtCMMZR0etvb3N3O8KtE9suTo3PYuzaBkk7h1/iNnQA4O5nHvdkEDErh92jYuzaJxaqB\nN67O25I200Ef4m1ceAhwH9FCRefEOQLs6+c3+qGxPCYKZZdO5MKFiw8FmIMHf33yHlDzRG7m9Xw9\nEGI8QoDTY3nbzKJwrTg2krOJA4UgkRBAtXg0a4TPnovquKCECLqIgpp38/pUGIwQMNgFgUI0yMBA\nGEAdRIbcPYRfh7liGRpq10SIEq3ixHphYzYewOaO8LKvpTXDYyVVqFs+kO7r68N///d/4+DBg3LZ\nz372M/T19bWwVc1BzOhPgwHdER/WpcO2SPCtXVFsXxWDV1PgVRW8NjqLks4aBIrCEzqbCMjo74ZI\n8atzGMxEoJLmsdwA3NhmF1BVFQGNB/MkAxoog62/7eyJoy8ZgpcA8wZsYpBdPXG8ZvqQK4RgIB1q\nEItMzC8iFvTZqEx7sgnc6YnAp92+1oouXLj48IAw5ii8c55pvrGx1WJWkTEu9LuDheVxpWtFXxKq\nWU22Uj+El7QIMRlIhyTn+KGNHZgolIEJSC9oxgC/AgykQihRhmMjnCYiBIX18eO7VkeRCrc5ekMX\nDQofoYgGfLiaX5Qe0/I6WarUBHZB5cYO+/GXilhfbux4K9DygfTnP/95PPLII/jJT36C1atX49Kl\nS3jppZfw1FNPtbppS+JXl2dwd3cMOoD7+pJgDKgaBo6YA9o92YQMXdmTTUhetOA+n53I465VcSxW\nDexYHQfAO0++xJPkBL1jtjSNjw7wTikSC8u6AcPkPBECvHllrkH8dWAghcBt7B19O8IAMJFfxPp0\nBM+fn7TZNDLwhy+dEBjUkEmGhYqB45dmsH1VDH6PCsKYo5H/unTENq1nnZJz+5gLFy4+DJgau4I9\n2S7bYE0BkxXXVLhNhpBQAIeHcw0DbE5TWN7AzlphFeJBIf47N5m3pRN6VUAlBAQ8tVBTCI6YPGkr\n7WJwbdhGnxib4+LAC7kFMMJpKvv6kqDg920xiN3cGcHbpgDRpyq2+30q3CZFhtZrI74X9vencNT8\n/XNzu3u6ozZx4tGRnC1xcTATBjOP70QlqR8cNxN3clcStLRS3fKB9Pbt2/HMM8/gmWeewdWrV7Fl\nyxZ84QtfQGdnZ6ub1hSUAV5VRZmyhqejdNCHkUrRFhce9Ci2yrWoSFd0AydH5xqq1buzCRkHXqgY\n0CkDM8Vc8+UqSlXaUN0u6Uz6/hYqBooVAxWDupXp2wgKA6IBH4pVPlCuF8NaEzB39MTxxpUapSPs\n90Ax+9iaOjHI7mzC0Tv0/QprXLhw4WIlYXo6hzVrehwFe4Dd1m1fv7O5wHLviU4V1n19CSkatIoH\nCeMiwBfOT+JAXxIeBZKGN5AOLUmfeHV0DvvWtqM3EZKiQ5OlB4DvY2NHCBQMFYNX2a37y8YDYGA4\n/u4c7umO2hINhdDQicbx6uicpIdoqIkgz03kTT9oXqhZ7jVcKna81ZXq1pNLAHR1deGRRx7Bl770\nJTzyyCMNg+iHHnqoRS1rAsKFAE5PR4NmOlzZoNK2RVWUBmHiK5dmoCoKBjNhOSgW74mnNYA/4ebL\nOkqmu0KhbDSsLxIPBYJeVdqUubZktw8o4crykk6xqWPpBExrn+H+5Aw64xzBehuiYyM5OT1nxfsR\n1rhw4cLFSoSiKAh6NYR9GkSioDW1D6gN9t7PPdGpwnp4mM9EB8xji9+M1I7PCMGLwzlQysch9fdn\n5tCuNp+H85ZZjT7CwH8GO8JgIFLg+OKwfX+DmbB8/eronEw0rKUu1ugb9d8Tr47O4YXzkzBEOiPh\ntJXnzoyD0procTnXUByrfl3rtRHX8f3YEF4PVsRA+r1w+fLlhmUzMzP4wz/8QzzwwAN46KGH8Kd/\n+qeYnp4GALz22ms4dOgQHnjgAfzBH/wBcrncDW0PAZqmEGoE+Ni6JOJtHuzrT+ETg5mmlmFVSm2V\na+t7PlVB0KviI2vacWlmkQ90KIOmOK8v+NKiQi3ioF1bstsH4ol9aDyPkE9r2q/E3xG/hvsHUtjX\nn4QGBp06p1bxp37m6Eftv8WiDRljWKwaKFR0LFYNOdPjwoULF83glDoohHX190SfwkV/Vs/p5ewT\nWLoauzEVwkMbO+Q9emg8L8chgr4R9KqOcdpivcl8SdJHCBg0MClGHxpz3h8hsL2uP1crfaPeY9q6\nHmCPVB8az0vRo3X9A30JgEFeP13XAQCEoWHd3dnENV3HDwotp3YsB07UBEIIPv3pT2Pnzp0AgCee\neALf+MY38NWvfhV//ud/jscffxzbt2/Hd77zHXzjG9/A448/fsPaw+MuG23AuiM+6JRBp8Cxuikg\nJ7HCYrWWRlj/XsAcRA9PFZBNBPD8uUnTJq/5+vcPpFDSqZyyd23Jbi+IJ/ZcsYKi2ffq+4k1AbNQ\n1qXF3Z5sAm+N5bG1K9bEhogg7NWwvz+Fsm6gWOXe05u7ooj5bw2XGMaYK8x14cLFNcMpdVD4OFsF\ncj4FmK/QZdEMlCbf5fXVWEopPADaQz6cnZiXiYQAbJViK+1CI8RGTwG4MDAe8uFCbgF9yTA8ABYp\nM6kcdoHjVLGKzkhNNHh6cgEbARutQyOApmmIKRQ+TYHKAF+kDWqdl7VP4esBvNof82uSrkIBXMzl\npSZHtOnoSF0yInQwAkf9zvpM5IbaEF4PbomKtBNisZgcRAPAnXfeiStXruDUqVPw+XzYvn07AOBT\nn/oU/uu//uuGHpuB4PJMoeHJa9uqmJxCt04znLw827Du7mwCI7kFDI3nsdOh0veryzP4+blJ9MTb\n5P6GxvPwaqRh/V1r2qESQFMJTo7OykG0a0t2e0EkRwW9Kt64Ot/QT6wJmDt74jg1lgdQmwrLJkKO\n1Yzd2QTOTswDhLt9/PTsJI6O5DA6X76l6ENuKqMLFy6uB6LyGvTyDAlBfxuZKeK5oXEcPj8FAI4U\nkGY0A2t1Fmie3LeoU+jg+7UmEoq0QXG/FjSKqsHg0+z0lDZNwbo0T0t8e6qI586Mo8L4Pt8a49Vp\nq8BxsCOM54dzePr0GE5d5cc4PbmAp0+P4fD5KVQMCq/ZTkGF8ZvHEr/FscUgWkCszwhwdmJeanKe\nHRqHYRot1F+/MuWfQa9l3SPvTKE3EbJ9Nktdxw8St0RF+r1AKcW//uu/Yv/+/bh69Sq6urrke+3t\n7ZzUPzuLWCx2Tfs9ceKE4/K+9Rtx8moeh2J+HOhPgYIPYiicqRej82XcvYpIBwXKGBiluLM7BkII\nVMDcD3/Sg6FjW1cUWzsMEMUerPGry/PY0hnB/v4UDMawWDHw2ugcdvXEMDt2Bb/WFYeieUD1KsYu\nvoN3CoVln+/QmTNIZTrl9pPjV1G8hu1vNTT7fO++++6b3JJrx6lTpxqWDdyxBWcnFnBfH39iV0Bk\nv9INBk0h2LUmDoUQnDK9owUKFQOxNg9ibRp0g/uew3zqPz2Wx8hMEQPpsOMU2mKpjNNvDH3g5/x+\ncOLECWTXDd6y7bfiVu2fAtfa/mb/pysFK719y8WNOo9bvX82uw6rV/fIiqyoTItUQGamvgJ2moEQ\n21HGsFDWUZybwbvvXpLvt7cnsG9tFxghIIxhauwKRqZztveTXd1yvyKRMOLzIBNtk+mE1oouJQSF\nqgECKo8n9pMO+jC4lvtOC1HiSIVb623uCGNdOgINQNVyHsJ672N9SeiEmBZ/BMUqBQOn/U1evYLp\n6Rw/Tof9fKbN86l/D4TI9h/oS5pe1vZrKyrPhDG8/vobts+AgKA4N4PXzfNb6jpaP9cPon/eEgPp\n9+IxfuUrX0EgEMDv/M7v4Gc/+9kNO67TBWdmOEV3xIeSQXDsAp+CWJ8MYCAdhk6p89Q4eLVYuCn8\n4mLNe/qOzqh8whUc57MTfNrcr6m2/eWKFbzy7gy2dcdsCYgLFQOxji7bNHUyHl32uQ6dOYOONWvr\npr3XfminvU+cOHFL3PCbYdOmTfD5fLZlhYqOiUIZ8xf1BseO3dkETo7OYnS+LCvS82VdDqaDXhX5\nUlVSPT6yph0GZTg8PCXfb5Zq2Ob3rehrKT7rxaoz3WWlt/9WhFP/vF6s5M/mVr+PCHxYzmO5aNY/\nl3MdChUd65MBrEmEMDyVx5pEqMGHWdi/Wb2YRaV069atDVVagXC2F9lsL4CaqwdlkN7RjNUoGtT0\nvBbphOJ4IoXRerz5CoXCIH2n69sq9rFrdRTRgA+qYr/X98b9KFKGC7k8+lMhVCmzjVn2ZLuwevUq\nzFeoTIYUy9es6QHAnTXEe+uTARtFRXhJ7+9PyWtbHyO+bdu2BnpMKJ1COp1a8jou93N9P1hx8/6l\nUgmVSsW27Mtf/nLT9Z944glcvHgR3/rWt6AoCjo7O3HlyhX5/vT0NOflXGM1umn79JoHtEgsfHAw\ng4F0hPNSPXbqhQhZqRoU9/UlsdUc4Pg1s5N3xaAbFDtWx3GgP4Vt3TGcncjjzu4YFisGCBjuXds4\nbTGSWwDA/6n296cQ8mlQCEFZN5q2fSmkMp3utPctDgLg3mwCmzrCOGv6lj+wLoV9fUn4VIJtq+J4\ncDCDHavjeHsij00dNdeOeqrHSxenIZ6fRJ9TCRr64q1EH/JryoptvyuCdOHi1oACYF06gou5Bfl7\n79okNnVGbFSLjmhbU5rCUqCUmvcBzrUeGsuDMCpFgoKiIdIKxf1sqeMdHcmBAnLwO5ix00IAPpZI\nh/k+Jue5KHHX6ige2tiBkN8rqSUMjc5O1uNYl88VyyibAXPivX1r27EuHbFRVMT+xuYW5fmJ/aSD\nfGBfqtJliThbgZZXpJ944gl8/OMfx5YtW/Diiy/is5/9LAgh+OY3v4n9+/cDaG5/93//7//FqVOn\n8NRTT8Hr9QLgT5qlUgm//OUvsX37dvzwhz/Er//6r9+w9jLK0BUL4FeXZ7CxI4xi1bB5Ou/qicOr\ncFI+AUPZYDh8vvZkdV9fsqnH72tX5qTHr25Q/PLyLO7NJhD1a7ZEQ59KcPfqOLbqBgyQhider0qv\n2T9R0TxNlK/uF/qtAmKKOyI+DevSfDDt2EfXtGNjRxg+VcWB/hQCXhW/uDDdQPUIeDU8uDEj6R2b\nuyKO6Zq3yoxFs3TQVrffFUG6cHHrgDGeYLgmEQJhTFZP7+tL2qgW1+O9L6rQF3ILkkonqBdbTeqF\n8G4Wy6X4Ds3dKwoVw/a+oIiItvJIcQYKhnTQh3jIB72qIxrgFXXhmS1uR0sdR+Ce7iiSIR+KOoVH\nIXIQ7fVoYIzJ41uj0KeKVWSifvlaCDuHJ0Xlf+WlGgIroCL99NNPY2BgAADwd3/3d/j617+O7373\nu/jmN7+55Hbnzp3Dk08+iYmJCXzqU5/Cww8/jD/5kz+Boij42te+hr/8y7/Exz72Mbz66qv43Oc+\nd8PaywjwyqUZZBMhVHTWICw8fmkGC1WGp0+PYc5iEi7eXyjry/L4VU2u9f+M5FA2GNo8KhcNeFQo\nisLdOBTlhvknUr3axM/R/SK/VUAJcOSdHEDI0n304jQqOgNlwPFL0zAoQ6luJkNQPWYXdTw7NI6J\nQhkKISCE2PrirTbQW4ntd0WQLlzcOmAEoGZV1uq7LzyaR2a4mO96vPeFt3RfMmzzqR6ZKeLHQ3bv\nZrH8uTPjeHF4qqnPsjV6XLxf31ad8XMiILJCHDCr0IWKIc+FsaW9n63LO6JttetkHk9Utom5j5GZ\nIiitbTeYsZ+3EHb2JcOOVfCb6RW9FFpekV5cXERbWxtmZmbw7rvv4oEHHgAAjI6OLrndwMAA3n77\nbcf37rrrLjz99NM3vK1AzfvR6scLAImAF4OZMHyqgoBXxcfWJeHVVFtMc9mgyBUq6E0EHJ/oIn5N\nJhpWzWmLZlVhv6ZAp7Tpk+Fi1bimatvk+FXcu7aeI70ypr1dLA+ib1LG4NdURP2aOR3m5DuuQlV4\nvH1Zp/i13jh+caFWtb43mwAYhaqq2Ls2gaBPlX2BMYaSTmVVl4DBMG+wK6HCe6uhmc+8OxvkwkXr\nIWK8VQYYhN9nmUgItPzvCscjMeBzitS2eio7HovVRIWnx+z7E9sLP+VjIzlsTIXQEeWx5SqDPJ51\nuXBzEtHjx0Zytramgz6ZMjg2t4hM1I900GerqAu/5+GpPDakw9idTeCiaaNHCKARAmI5Pq+AMxDY\n/avFPgljDW25mFuAogBvXa21TaQ3KkrrvaKXQssH0r29vfjP//xPXLp0Cbt37wbAec1+v7/FLXOG\neOoqG1R6OjejavgZbPHfQliYL+mOoqdCmYvEzk7kbR7TTlVhQkhT8RdjDD87O3lN08PFQmFFTnu7\nWD5E31QA3NkdxUKZG9k79RGPRvCryzXx4a6eOHb1xNHm1ZAvVfngGMCrF2dQ0g0+sIYzDcEaPe5S\nEq4dzf6P3dkgFy5aC0G10Ks6NI+GoyM57F3LHY3WJwOysioEewBMX2kiPZSbeSo7wVo9niiUgQk7\ndcOnEOiM+yl/tC+JRcps1M77+xL42EAKRZ3a48wt0eOiPSqj+OhACjrltWiA4fTkArqifgykQ7IK\nXagYoCC4mMtLjvR8sSSt6ERMuRiUW321dcZs/tVCYCjOweo2wiPM7eetEYKBdAhgy/PcbhVaXm78\n0pe+hH/5l3/B8ePH8Wd/9mcAgKNHj8pB9UqDSiDFfsLTuRlVwwBs0+pZk+NzaizfkBK3wxR7vXJp\nBnd2x6Tf773Z5lVhlcDRK7iiG9c1PbwSp71dLB8quNiQATh+cRqnxpr4jvfEcfLyLLKJEIAaJanN\nq0LXeUjL/xuZRllnkm70P2b0uBMNwUpLcikJ146VLIJ04eJ2hqBaWGkOQ+Pcd9kqmBP/uxOFMgzK\nEPQo0kN5KU/leghvaVE9FnHaLw5PwaC8uCG8l508l38+nIOBRtFfffR42Kdh6K03QcEpHWcn5qES\ngt3ZhBQTWtMMF0oVOXAGY0iFa8LGZr7aKngl2+pfvVCqyPOz+kdXzDYLAaU4b4NxdxAFzqmGK+UO\n2fKK9JYtW/DDH/7QtuzQoUM4dOhQi1q0NAwGnJ1YwF2rYuZTHE/ncZp2AGCjdvg0znsuVAy8cWVe\nLvd7FBy/OCPFXoQQfKQ3DgJie+Kqn1JnDHjdsp+yQfH6lXnc2RWVbaCMNWznVpo/nKgywGtGdu9Y\nHUfAvOmoGsH+viQMgPuOm8mXW7tjkkpUqBjQDYYq5dsXKgY0RZE3iELFgG7Oo20zH/REf62nOi2H\nkuD2yRpWqgjShYvbHTWhXo3mMDJTRDJg93G2+iArqP3fCloIYSa3msEU9kFWqds0RQrmRPJfffVY\nrFeoUpuPdP24Y2Mq1DQymzBu3Sfasu6OLaCMuz29PVVEfyqMcxMLUvw3VayiO+KXvs0e1NISBaUl\nGw9AUWDzp2aM01yqjLd50ai15/A709K1QwFkwqEBZwElCBcpGgDOTdQq2Cr4NdTNc7Jew1ag5QNp\nADh27BieffZZTE9P43vf+x7efPNNLCws4CMf+Uirm9YAhRB4VUA3ozVLOkVZd/aOJrBTO/aaVadC\nxUCuWMHREe7Zu6071tTPd2dPHFVKEfZqmCvrdg5zNgG/RqSftNjeGgOtEriOALcJFAIQRlClFIQA\nLw7X3GJ2rWnHa6Nztn4mqERvmLSMikEhxsBBrwqdUhiW19Z+uaMnbouit/a596IkuC4VjRCzQS5c\nuFg5EFQLK80hG7f7OAM1H2QrlzniVTBfobiQW5COE1YaRDP3CZ785zwoVAiVVAkCO91B+EjXLwc4\nDaVkNLZlU2cEFHY6ySZEpJfzz4anGtq5qFPopp/1mkTI5k8t1t2dTcgIcYXaqayH35lG0KviwECK\nPxxUdBCiNHhai3XWJwNQCMFEoYyRM0Xp5LGSHDxaXhn/p3/6Jzz22GPo7e3Fq6++CgDw+/349re/\n3eKWOcOvKVifjkDjj0t4a2yeT83WTTvs7ImDEDu149RYYxy4iAq3bmf183350gwAgkUnZf9IDnet\nijXsz6MQdEd8uHctn6ZxHQFuD7RpirQ4cnLqsPpGW6lEmzrC+MiadoS8GoI+FQcHM/hf2Th8GnGM\nFPdrKihl2NkTx4H+JPb1JRH08O0O9CUBLB2i5LpUuHDh4laAoFoUTUpC0FuLCBdey1YfZKDRV9nq\nOCG2TQd9ODSYwf39KfhVBcUqlf7Ius5/O/klt5njj4u5BWiwR2MLH2mVsYbI7HXpiGNbzk7My3jw\n4ak87utLQGWswcvZ6pLRpik2yobVnzobD+BAXxI+VYHOgFJFl2JHq1/1/n5e2eauG6SBImMVZtZT\naKxUkvq2tQotr0h///vfxz/+4z9i1apV+Pu//3sAwNq1azEyMtLiljUHZRRVCvhUYDATwdEL0/Br\nKvb1JcG7BVDRG30Vc8UKXr8yj/v6kihVKcoGxbmJBdy1Ko5t5sDjJQvFA+DbV3QKRWuMHhe2NB9d\nl4Zu8H/EE+/OSnFY1MefHl1HgNsDlHKqhFNMfaFiIOzXcKA/hbJBZTUZAMJ+DWAMz9f5kWuE4s6u\nqI16lAh4pbDWr6nY2hXBYUvVYkdPHGdHZ7G5K9q0wuy6VLhw4eJWgKBaLGoKVAvVQngtW/2erRCO\nEsKBQ7wvXCg2doRggAGMoUprA9H1yQB6E6EGpw9RbaWUgoDxdEEwTC+UJfVCFFGqgG25CgJDuGXU\ntUVQUzZ3hLEhHUHJoHhxZAr7+pJNz4lXzDUUTEcocdxsPICNHSFZnd+xKgqvKdAUIkQPAUpGTSD5\n8GAGqPO0FvQQj0KgaRqYodveX4kOHi2vSBcKBXR2dgKA/NLVdR0ej6eVzWqKkk5BwekUDAQvXZyW\nVI3Zko4jw5w8/7NzU5gz3Tns2xuYK+l4/vwkjo7keKRzqQpCCGZLuqOfb0nng2RH70aTRH14eApH\n3slJvqvwn27u+Xh7TqF/mFGmQL6sy5h6K4JeFZRy3+ijI7k6KpGOfNloeMIHUfH8+UnMWfrlYKYm\nrB3MhBsq38K/eqkKs9snXbhwcatADBz9plBPIZBV6Len7D7IAkv5Nw92cOcL8WOtrvYlw0tmQ5Qp\nFwcy0/P59OQCnj49hmdOj0tKB2OwLa9SJr2ZrW0R9+GRmSL+c4ivJ45t9XKuPydxTerPbzBjTz0M\nWQSaQoRYZXYhJCVEHkt4Wj87NI4j70yBiWMR+/tLXe9WoeUD6XvuuQdPPfWUbdkPfvAD7Ny5s0Ut\nWhqU1bwRq4a92js0bnfjGMktOE9XqASJgNc2xc7AGrYX7w+N53FpZrGBPiKU/UtV+JxoJ/dmEyBg\nWDCnjkpVHYFg8AO9bm4E8gcPyoBLM4uSimFz6ljTjqHxRmrRLrP/aXXcMlG9AOz92KfWqt3Wv63b\nieXWCrP18weAvX3X71Lh9iUXLly0Cm0aH0SKe5/wQXaiJVgdOIJeFUPjea5lQe1HunqZwr2lhIKU\n1cYgVlcNANK32no8gFeehRuG9T3h5bxrdRT/e2MHFDN90HpO65MBHBrM4KGNHbi/PwUFQKmsY6Gs\nSz9rsU9C7OfjlOwo3s/GAzi4IcPHPWPO169N4xX4emrI8FS+gboi1m8VWk7teNPgTvsAACAASURB\nVPTRR/FHf/RH+NGPfoRCoYAHHngAwWAQTz75ZKub5giF8GmSoFdtEBnmihWcnchjf38Ki1UDJZ1T\nN4SDwkJZxy9N6sXubAJVnUqhFwFBrljBG1fmsXdtEhWDW429cWUeAJBNBPDm1Tls647Brylo8ygI\nmBZ17+VDqyjA9lUxaAoPcVHMdEbhIbyzJ47MqjVgjH0gYi9XXHZzoBJgbTKI16/MYV0qjH193O+U\nU40oBlJBGwVJOHiUdMOcGKwh6FWhKgSH7uiQoSsHBlKy+lCoGCgbziJbsVz0P8fPP5vAx9alrjnI\nxe1LLpaCQRnUZZamrmVdFy4EeDW2du9z8o8WLhIxhTo6cOiWh/+gV5UiRGq5vwoIoeDRkRznFpvL\n58tVpCOcMsFdoAEfmOPxhDfzYCYMjcCkfQBGtYpMyIeiQaEqdk/sZMCDgRSnalzM5dGfCkFlvCou\nPKFFKItGAEYIDFOAKWin9efCUBMpHnlnCvv7U45+2V7z/3LWTIeu96eu9+e+7V070uk0/v3f/x1v\nvvkmRkdH0dnZiS1btqyI/HQn+DUFoBR7sgnoBsXu3nYcuzAtv9TXp8MwDANelaBqAGsTQfg8inRQ\nEDg2ksNH1rRjU0cYIZ8GAobuiA+j82W8fmUWd3RGcXJ0Vrp9iCn00fkyAP7P9tF1abQpNR9ap1TC\nkk5xZDjXMNjZ1h3D6HxZCtO2r4qhpNMPxDmgmbjso+vSrlPBDYTwj67vJ9tXxRDxawBM8hkBXreE\nsezsiSPkVeVNTzzhyyQvyqAoBAEP/58UfU1UuF+2BBHt6Inj7ETeVmF2/PxH+OdfP0X3XnD7koul\noCoE/3ry8rLW/T/bVn3ArXHxYYDVwo4QboErqqQXLOl+CiHwq3ygWahSKIQL84JerWF/hYouSxe7\nswloCsGRYR5uUp9muC4dkZzisblFZCI+ALAtFxBOF36PwtMYwQspoq0At5pTABilAgL+ICiAoyOT\ntmOLZESD8UH0+nQEOmNghODoyCT2rk1KP2vh1rE+GcBAKiT3ITyjxUB4sCMMD7G327rOyJmi/O7x\naER6eBcq3BbP6uShaVrrB68WtLwtzz33HA4ePIgtW7Zgy5Ytcvnf/M3f4LOf/WwLW9YciwbDqatz\nuLs7Bp0x/NqadvjMipoZooySwfDLy3wgfP9AynkKXFMkx1p0oLu6CfdHNAxeUQTnji8lzlrKh7YZ\n7UP4/orXmqJ8YGIvV1x2c9DMP5R/tsBrozNYlw7j7EQed3REsKmD3/BfvzKPj6yJm0pqBsYgDfPf\nujonB9yi8mvtayoB/9s0JCUA7ulpt1WYb+Tn7/YlFy5c3CyIZMMLuQUu8DNqwsBdq6MypGQ5QkEB\nwbku69xuVFOb+ygrhEgxHwC8OjqHXw8moamKI3VC0EBEm4XV3cZUyNbWoFfF7t52OV6xHlskJlLG\noAHoT4VAwf+mFtGio0CQEGhareLtIcBHB1JY1CmOmMXEBwczst3CV1qsL9IfF3UqPaTrz2+lxIJb\n0fKy71//9V/jyJEjDcteeOGFFrVoaZTMp6TR+TIYITjyTg4/OzeJZ4bG8fTpMcyWqnI6QnSCku4s\n/uIcZbuoYKak49mhcfz32SkcHp5CvqyDkGbk+tq0ZLNUwmbCLuH7K15zyscHM83pistuDpQm/USn\nFAw8WVOIAY9dmEahyvtySTeQL+uYL1Xx7NA4njszjrenijg2krOlHwoBobWv+T28vwVNIU7AIRXz\nRn7+bl9y4cLFzYKoiopobKswsD3ot33Pv5dQ0ApFUdDm1RDw8R/rvVuI6l4cnjIH0/b7ukfTcHg4\n11R0x0ij7V4q7G9o27EL0yZfm9iOLRITGYMZMsMFgYwQua6g+NULBA0CtHk1hHw8PdHv1cyKt0Vg\nWCdkPPzONF44P2mepyYFle8leFxJaPlA+qmnnsJjjz2GX/7ylwCAxx9/HMeOHcP3v//9FrfMGVzA\nx580xRNhIuDFvr4kHhrMIOL3IOTTlhQhiidV4csr0KxSTABHweByxFlO8cMi4ly83tkTh1/FBxZJ\n7EYg3xy0NfEz92oEhkER8WvwazXBYNSvYe/aBH6tlwsOgz5uj7cnm0Ai4HXsj5Syaxb7+VTSVCh7\nrXD7kgsXLj4IUEqxbuNmm3+z1cLOKqQDIK3khHBOCAXF608MZni11uH2KOgd4lhCmGi9r+3rS/Dj\nMP7e+mRNoFeoGA0iR6s/s2izaK/1b4FCxYDKAI1ReexsPCD3P5kvgYELG4dMQwTF4jm927LNwcEM\n9vUn5bkBkH7Y9TOlS7dbl2mLS4kQVxpaTu3o6+vD3/7t3+KP//iPcdddd+Hq1av4wQ9+gFAo1Oqm\nOUIlPK3w7Yk87loVR3fEhw3pMM5M5LEuza3BtnXHHEWIe/uSKFe5169XIY5Wd86VYrVRMLjMvuRE\n+/CpBPf0tOMuynjcJgFGhs+jfcOGG3ad3qsNbgTyjQelFD6V8AcjD0/WLFYMnB7Loz8ZAnSKrV0R\nmcg1V9JxcnQWu3ri8GsEhbJuSy48O5Fv6I8MDPPlquTdv5fYjzGGubLeVCh7rXD7kgsXLm40BIXD\nSsvY15eQiXuMASA1IWA2ztP2rMK5vWuTttdWeoefUknvcDqWSEIUAjqNmNXw4ckGGsn+/pQcXHoU\nLnLUAJQp92fe35+0VY258K9RxCiq14sGMFcs4/7+FEoGBQGR6YlgXHszUShjMyJgAC7m8lJgKLY5\nMuyc6nh0JIe9a5O2Y4/MFOFVa/HgJYNKznTQq2J/fwoAmooQV6J+riUteumll2w/8/Pz+M3f/E28\n+uqr+PSnP40333wTL730Uiua9p5gIHjZnB4/OzGPbatiOG6+Fv66ThXoTZ1R6IaB45emUaUMvxqd\ndaxS11eKfRqBwYAjwzkceSeH589P4sg7ORwZXn4SXD3tQ1EUtHlUhMzpeL9HQ7FQ+GAuWJM2uAOf\nG48y5f2TECL9zF95dwbr02EEPApOjeXx8qUZEAJpq1ioGDh+aQZ3dsdsiZqvXJrBtlWxhv5YrBgo\n1HlOL+UZLcSBo/NlHB3J4efnJvHC+SmUjesnurl9yYULFzcSVmEbYM6+WRL3hqfyMgEw6FVlKqA1\nAXBoPL9kIuBSxxJJiEEvp0TU0yGsNBJhezfYEcaLwzk8NzQO3eLPrIA0VI0VoKG6uzubkMc5/u6c\n9JEem1uU5/HWWO28CWNQAPmg8J9D46gy1vRcjlquS/2xexMhnsRL0LD92Yl5qISfw0ShLGku+kok\nR5toSUX6C1/4guNyr9eLv/qrvwLAvyyff/75m9msZUGInXyqgqmijn7GI5MjFjqHsLHb1h1D1K/x\np1lGoWmaJNWPzpdR0hm2dcfgUxWUDV5NvGtVHNsZM43KGYoVA36tWZLPyu1YLm4++H2G4bXROexY\nHUebt1aVpgwyhCXgVVEo1/oTv/kCO3viqFKKxSrF0DgfVK9L8cSrssFFiXd2RaEp3Ad9MBNG0KNA\nVRTolNM96qvDrjjQhQsXKx319ANeca4J6gYzYagANJXI7/C3p4roT4VtldaNHc1TDp2OlY0HMJgJ\nS7GeoEXUt0dQM+7pjqIr2gYFQBXO1A0DDOcmFrC5IwxCCO7vT8EAcG4ibxMGDo3ncUdnpGEfr47O\n4cGo3yZA3NwRhkEIGOP7PtCXhEqIrQ0C6aCvof1+hV83DQAznU8KVSrX39wXBiMEGhh0ELO9C47t\nXYloyUB6pQoJlwMhdqKMYWtXBIbBp8sNymzTF7liBSdHZ7G/P4kXLNMeO3vich+5YoUnyIE/pd3X\nl8RrozPY1BnF0ZHaNvdmE9IaT8AVWLmoh0IAME4ZOjw8JZcLu0Px9+wip3Ts6InjjSvz8GsEZYPa\nbBx39sSxWDEAArx2ZQ65YkVSjVSFYEtXBGcFnemCpa/W0Tzey+PchQsXLloNpY62YfV0HpkpSq9o\nYb9mTRG03t/qX4tthECOR3zbvaOtNJB9fQlUKWyezmK/u1ZHkQz5sGhQHKujTNhpHAReFdL/eU0i\nBE0hmCiUMXKmKNu1PhmwUT7EPtJBHxTYPaVHZoo4OJgBAPDCMkPRYPDUtVPEhNef4/PDU9iYCiET\n8aFicT45NJiRseLzxRKiAR+OjnCaTH17g14Vm1fo18bKI5ssE0888QT279+P9evX4+zZs3L5yMgI\nPvnJT+KBBx7AJz/5SVy4cOGGHlckBRICvHxpBh5NxcuXZuDXFOzubbdNX+xa087/AXraOU/Ksm59\nwtzOnjgquoGsxT4HqHnu3rUq5gqsXCwJn8JFGk59a2g8L+lDQY+Cbd0xnJ3IY1NHGNu6Y3IQDfA+\n9/KlGVDGg3sGM2F0R3y4ry+JsE9DyKvh7ETeRmcS2715ZQ5FixDRpxJXHOjChYsVjTZNkYK7wQx3\nu3ASu9ULAKcLJZtIULwWwsBDgxnc38+DrPJlHYs6lXQRETMu7p/poA+EKDhad+x7uqPwKASpcBuo\nxTlkaDyP+/oSODSYgUchsh1VXZfUDOHc4XQu69IR2Zagl6cu7skmcEdHGASNVBDNFBuuS0fAzHYq\nAO7rS+DgIBdXbuqMgIHIlEXrOXZE7e0HAApIN5RUuE2OfSbzpQbx5UoVGgItqkh//OMfx09+8hMA\nwN69exs4jiJh78UXX2y6jwMHDuD3fu/38Nu//du25V/60pfwW7/1W3j44YfxH//xH/jiF7+IH/zg\nBzes7YQQRHwqijr3OGTgLh4lg+KtsXkpqPJpCgzKK4PiaVNUABmA103qh6B1iGlzn+rsnVjWKfb3\nJ0FAoCiuwMpFIxRFgWEYeP3KPPb1JcEA01UDuHtVFF5NwUlLEMuOnjjCXpVPszn0OcX08Wxv8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wxILrlKKqU+naYU32EfvKFSs4O5Hn00gA8mVdihPFNq7g0IWAeELPFSuyr/k1BV5VwdB4Hv3J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\n4zhlwdHVgqVKj6k1S43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cxHDtSAE2kv2bWwA9byS+i4tSpHIe71+e4+7eZu7uhYW8R8SC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\n",
"text/plain": [
"<Figure size 720x720 with 20 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "L7jM_fPq9wfS",
"colab_type": "text"
},
"source": [
"k-means 法のイメージを把握するため distance_from_city_center と bikes_count のプロットでクラスタリングをシミュレーションしてみます。"
]
},
{
"cell_type": "code",
"metadata": {
"id": "PXR8gJP_rbkm",
"colab_type": "code",
"outputId": "21f30aa8-c623-44ee-f445-026a702ce785",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 269
}
},
"source": [
"plt.scatter(df.distance_from_city_center, df.bikes_count)\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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a0v04Bd/wPome0Jn5MoB/AeC/AHgFwFeY+bu5DHMRkpJT4icdm85T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\nlwO7AAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "Ii9j4rSCvD61",
"colab_type": "code",
"outputId": "8d49643e-aacc-4b45-ce9f-4f76191e0c4c",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 269
}
},
"source": [
"y = np.random.binomial(n = 1, p = 0.5, size = 1594) # 割り振り\n",
"plt.scatter(df.distance_from_city_center, df.bikes_count, c = y)\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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tHEN6tw3odCo7trQiJOmVej9UqrPo2w/46NE/iW1jRau34HZ678OcTCMv3JGK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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "4qkO_NFEvScC",
"colab_type": "code",
"outputId": "5508f20e-e5c0-476f-caea-64e404cf7ad8",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 121
}
},
"source": [
"#各クラスターの重心を計算\n",
"center = pd.DataFrame(df, columns = ['distance_from_city_center', 'bikes_count']).assign(y = y).groupby(y).mean()\n",
"center"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"application/vnd.google.colaboratory.module+javascript": "\n import \"https://ssl.gstatic.com/colaboratory/data_table/81868506e94e6988/data_table.js\";\n\n window.createDataTable({\n data: [[{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 4.4966921720563535,\n 'f': \"4.4966921720563535\",\n },\n{\n 'v': 10.93939393939394,\n 'f': \"10.93939393939394\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n }],\n [{\n 'v': 1,\n 'f': \"1\",\n },\n{\n 'v': 4.404613997754837,\n 'f': \"4.404613997754837\",\n },\n{\n 'v': 10.958387516254877,\n 'f': \"10.958387516254877\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n }]],\n columns: [[\"number\", \"index\"], [\"number\", \"distance_from_city_center\"], [\"number\", \"bikes_count\"], [\"number\", \"y\"]],\n rowsPerPage: 25,\n });\n ",
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\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>distance_from_city_center</th>\n",
" <th>bikes_count</th>\n",
" <th>y</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>4.496692</td>\n",
" <td>10.939394</td>\n",
" <td>0.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>4.404614</td>\n",
" <td>10.958388</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" distance_from_city_center bikes_count y\n",
"0 4.496692 10.939394 0.0\n",
"1 4.404614 10.958388 1.0"
]
},
"metadata": {
"tags": []
},
"execution_count": 16
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "rHfVqLavxxaa",
"colab_type": "text"
},
"source": [
"各データポイントの重心からの近さを2乗距離で計算します。この結果をもとに各データポイントのクラスターを近いほうの重心に対応するクラスターに更新します。"
]
},
{
"cell_type": "code",
"metadata": {
"id": "q2E1okRsxuUn",
"colab_type": "code",
"outputId": "61e3b940-b12f-4dd3-a4f6-e86a1cf47746",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 269
}
},
"source": [
"# クラスターの重心をnumpy配列で抽出する。\n",
"center_cluster_0 = center.loc[0, ['distance_from_city_center', 'bikes_count']].values\n",
"center_cluster_1 = center.loc[1, ['distance_from_city_center', 'bikes_count']].values\n",
"\n",
"# 各データポイントについてクラスターからの2乗距離を計算する。\n",
"dist_cluster_0 = (df.distance_from_city_center.values.reshape(1594) - center_cluster_0[0])**2 + (df.bikes_count.values.reshape(1594) - center_cluster_0[1])**2\n",
"dist_cluster_1 = (df.distance_from_city_center.values.reshape(1594) - center_cluster_1[0])**2 + (df.bikes_count.values.reshape(1594) - center_cluster_1[1])**2\n",
"new_cluster_id = dist_cluster_0 < dist_cluster_1\n",
"\n",
"# 可視化\n",
"plt.scatter(df.distance_from_city_center, df.bikes_count, c = new_cluster_id)\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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T5thl0KpetBnTlK3zduLl40HDPh/iqRH7Db3zgNO/nOPZSiWfivWFjKIoCsf3nEZJSKBy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\nU+TEAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "B9Q95QosP1Yy",
"colab_type": "text"
},
"source": [
"明確に2つのクラスターに分かれました。このように重心の計算・クラスターの更新を繰り返すことでクラスターをまとめていきます。\n",
"\n",
"トレーニング データを確認できたので、 K 平均法モデルを作成します。\n",
"\n",
"CREATE MODEL ステートメントを model_type=kmeans オプションで使用することで、K 平均法モデルの作成とトレーニングが行えます。次のクエリでは、上記のクエリに CREATE MODEL ステートメントを追加し、データ内の id フィールドを削除します。"
]
},
{
"cell_type": "code",
"metadata": {
"id": "3z40TpZJLhb8",
"colab_type": "code",
"outputId": "2e4f17ed-f35e-4381-eca9-6ae80e6755c7",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 168
}
},
"source": [
"query = \"\"\"\n",
"CREATE OR REPLACE MODEL cycle.kmeans\n",
"OPTIONS (model_type='kmeans', num_clusters=4, standardize_features = TRUE) AS\n",
"SELECT * EXCEPT(station_name, isweekday) -- EXCEPT 句を使って特徴量以外を除外\n",
"FROM cycle.stationstats\n",
" \"\"\"\n",
"df = client.query(query).to_dataframe()\n",
"df"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Traceback (most recent call last):\n",
" File \"/usr/local/lib/python3.6/dist-packages/google/colab/data_table.py\", line 124, in _repr_javascript_module_\n",
" return self._gen_js(self._preprocess_dataframe())\n",
" File \"/usr/local/lib/python3.6/dist-packages/google/colab/data_table.py\", line 144, in _gen_js\n",
" data, _DEFAULT_NONUNICODE_FORMATTER, data_formatters)\n",
" File \"/usr/local/lib/python3.6/dist-packages/google/colab/_interactive_table_helper.py\", line 298, in _format_data\n",
" num_columns = len(data[0])\n",
"IndexError: index 0 is out of bounds for axis 0 with size 0\n"
],
"name": "stderr"
},
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\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",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
"Empty DataFrame\n",
"Columns: []\n",
"Index: []"
]
},
"metadata": {
"tags": []
},
"execution_count": 13
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "jJxez2dzSbQn",
"colab_type": "text"
},
"source": [
"特徴ごとに動的な範囲が異なる場合は、特徴の標準化を行うことをおすすめします。ここでは、bikes_count の範囲が 10 〜 50 になりますが、num_trips は 1000 以内です。したがって、standardize_features オプションを true に設定します。standardize_features はデフォルトで true に設定されているため、設定自体は省略できます。\n",
"\n",
"num_clusters オプションを省略すると、BigQuery ML がトレーニング データの総行数から適切なデフォルト値を選択します。また、ハイパーパラメータを調整して適切な数値を見つけることもできます。適切なクラスタ数を決定するには、複数の num_clusters 値で CREATE MODEL クエリを実行して、誤差測定値を確認します。そして、誤差測定値が最小になるポイントを選択します。誤差測定値は、モデルを選択して [トレーニング] タブをクリックすると取得できます。"
]
},
{
"cell_type": "code",
"metadata": {
"id": "tVbCeZc2TXic",
"colab_type": "code",
"outputId": "096a2226-cc56-4c62-e267-193fa490d760",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 297
}
},
"source": [
"query = \"\"\"\n",
"SELECT\n",
" * EXCEPT(nearest_centroids_distance)\n",
"FROM\n",
" ML.PREDICT( MODEL cycle.kmeans, --ML.PREDICT でどのクラスタにステーションが含まれるかを予測\n",
" (\n",
" SELECT\n",
" *\n",
" FROM\n",
" cycle.stationstats\n",
" --WHERE REGEXP_CONTAINS(station_name, 'Kennington') --REGEXP_CONTAINS 関数を使用して、station_name 列に文字列「Kennington」を含むすべてのエントリを検索します。\n",
" )) \n",
" \"\"\"\n",
"df=client.query(query).to_dataframe()\n",
"df"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"application/vnd.google.colaboratory.module+javascript": "\n import \"https://ssl.gstatic.com/colaboratory/data_table/81868506e94e6988/data_table.js\";\n\n window.createDataTable({\n data: [[{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 3,\n 'f': \"3\",\n },\n\"Bow Church Station, Bow\",\n\"weekend\",\n{\n 'v': 2361.671469740634,\n 'f': \"2361.671469740634\",\n },\n{\n 'v': 2082,\n 'f': \"2082\",\n },\n{\n 'v': 31,\n 'f': \"31\",\n },\n{\n 'v': 6.438894078071367,\n 'f': \"6.438894078071367\",\n }],\n [{\n 'v': 1,\n 'f': \"1\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Crisp Road, Hammersmith\",\n\"weekday\",\n{\n 'v': 1651.005917159764,\n 'f': \"1651.005917159764\",\n },\n{\n 'v': 6591,\n 'f': \"6591\",\n },\n{\n 'v': 34,\n 'f': \"34\",\n },\n{\n 'v': 8.86407914302677,\n 'f': \"8.86407914302677\",\n }],\n [{\n 'v': 2,\n 'f': \"2\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Kingsway Southbound, Strand\",\n\"weekday\",\n{\n 'v': 1219.5338345864648,\n 'f': \"1219.5338345864648\",\n },\n{\n 'v': 10640,\n 'f': \"10640\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 1.9732139328562202,\n 'f': \"1.9732139328562202\",\n }],\n [{\n 'v': 3,\n 'f': \"3\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Riverlight North, Nine Elms\",\n\"weekday\",\n{\n 'v': 1163.2715008431708,\n 'f': \"1163.2715008431708\",\n },\n{\n 'v': 3558,\n 'f': \"3558\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 3.1782969142113977,\n 'f': \"3.1782969142113977\",\n }],\n [{\n 'v': 4,\n 'f': \"4\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Sidney Street, Stepney\",\n\"weekday\",\n{\n 'v': 881.888822474597,\n 'f': \"881.888822474597\",\n },\n{\n 'v': 1673,\n 'f': \"1673\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 3.7730980913113146,\n 'f': \"3.7730980913113146\",\n }],\n [{\n 'v': 5,\n 'f': \"5\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Sidney Street, Stepney\",\n\"weekend\",\n{\n 'v': 839.1836734693876,\n 'f': \"839.1836734693876\",\n },\n{\n 'v': 588,\n 'f': \"588\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 3.7730980913113146,\n 'f': \"3.7730980913113146\",\n }],\n [{\n 'v': 6,\n 'f': \"6\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Austin Road, Battersea Park\",\n\"weekday\",\n{\n 'v': 1587.6839038601606,\n 'f': \"1587.6839038601606\",\n },\n{\n 'v': 5492,\n 'f': \"5492\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 4.780705942238549,\n 'f': \"4.780705942238549\",\n }],\n [{\n 'v': 7,\n 'f': \"7\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Austin Road, Battersea\",\n\"weekday\",\n{\n 'v': 1089.6010296010304,\n 'f': \"1089.6010296010304\",\n },\n{\n 'v': 2331,\n 'f': \"2331\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 4.780705942238549,\n 'f': \"4.780705942238549\",\n }],\n [{\n 'v': 8,\n 'f': \"8\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Austin Road, Battersea\",\n\"weekend\",\n{\n 'v': 1544.2438452520514,\n 'f': \"1544.2438452520514\",\n },\n{\n 'v': 853,\n 'f': \"853\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 4.780705942238549,\n 'f': \"4.780705942238549\",\n }],\n [{\n 'v': 9,\n 'f': \"9\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Austin Road, Battersea Park\",\n\"weekend\",\n{\n 'v': 1733.2451923076922,\n 'f': \"1733.2451923076922\",\n },\n{\n 'v': 2496,\n 'f': \"2496\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 4.780705942238549,\n 'f': \"4.780705942238549\",\n }],\n [{\n 'v': 10,\n 'f': \"10\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Globe Town Market, Bethnal Green\",\n\"weekend\",\n{\n 'v': 2167.191378184192,\n 'f': \"2167.191378184192\",\n },\n{\n 'v': 3062,\n 'f': \"3062\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 4.8454862114962465,\n 'f': \"4.8454862114962465\",\n }],\n [{\n 'v': 11,\n 'f': \"11\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Globe Town Market, Bethnal Green\",\n\"weekday\",\n{\n 'v': 1559.550997782704,\n 'f': \"1559.550997782704\",\n },\n{\n 'v': 7216,\n 'f': \"7216\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 4.8454862114962465,\n 'f': \"4.8454862114962465\",\n }],\n [{\n 'v': 12,\n 'f': \"12\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Twig Folly Bridge, Mile End\",\n\"weekday\",\n{\n 'v': 1242.0144214261193,\n 'f': \"1242.0144214261193\",\n },\n{\n 'v': 8737,\n 'f': \"8737\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 5.202722039014765,\n 'f': \"5.202722039014765\",\n }],\n [{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 4,\n 'f': \"4\",\n },\n\"Museum of London, Barbican\",\n\"weekday\",\n{\n 'v': 848.0171821305835,\n 'f': \"848.0171821305835\",\n },\n{\n 'v': 17460,\n 'f': \"17460\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 1.9964322433205839,\n 'f': \"1.9964322433205839\",\n }],\n [{\n 'v': 14,\n 'f': \"14\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Twig Folly Bridge, Mile End\",\n\"weekend\",\n{\n 'v': 1588.2893617021275,\n 'f': \"1588.2893617021275\",\n },\n{\n 'v': 4700,\n 'f': \"4700\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 5.202722039014765,\n 'f': \"5.202722039014765\",\n }],\n [{\n 'v': 15,\n 'f': \"15\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Sugden Road, Clapham\",\n\"weekday\",\n{\n 'v': 1424.815370759533,\n 'f': \"1424.815370759533\",\n },\n{\n 'v': 3331,\n 'f': \"3331\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 5.572513422534333,\n 'f': \"5.572513422534333\",\n }],\n [{\n 'v': 16,\n 'f': \"16\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Sugden Road, Battersea\",\n\"weekday\",\n{\n 'v': 1282.265193370166,\n 'f': \"1282.265193370166\",\n },\n{\n 'v': 1086,\n 'f': \"1086\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 5.572513422534333,\n 'f': \"5.572513422534333\",\n }],\n [{\n 'v': 17,\n 'f': \"17\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Sugden Road, Clapham\",\n\"weekend\",\n{\n 'v': 2125.63965170797,\n 'f': \"2125.63965170797\",\n },\n{\n 'v': 1493,\n 'f': \"1493\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 5.572513422534333,\n 'f': \"5.572513422534333\",\n }],\n [{\n 'v': 18,\n 'f': \"18\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Sugden Road, Battersea\",\n\"weekend\",\n{\n 'v': 1841.025641025641,\n 'f': \"1841.025641025641\",\n },\n{\n 'v': 468,\n 'f': \"468\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 5.572513422534333,\n 'f': \"5.572513422534333\",\n }],\n [{\n 'v': 19,\n 'f': \"19\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Napier Avenue, Millwall\",\n\"weekend\",\n{\n 'v': 2006.5753424657537,\n 'f': \"2006.5753424657537\",\n },\n{\n 'v': 1752,\n 'f': \"1752\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 5.5990761678653875,\n 'f': \"5.5990761678653875\",\n }],\n [{\n 'v': 20,\n 'f': \"20\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Napier Avenue, Millwall\",\n\"weekday\",\n{\n 'v': 1137.7660461239234,\n 'f': \"1137.7660461239234\",\n },\n{\n 'v': 3599,\n 'f': \"3599\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 5.5990761678653875,\n 'f': \"5.5990761678653875\",\n }],\n [{\n 'v': 21,\n 'f': \"21\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Devonshire Terrace, Bayswater\",\n\"weekday\",\n{\n 'v': 1300.461738002593,\n 'f': \"1300.461738002593\",\n },\n{\n 'v': 11565,\n 'f': \"11565\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 5.720765862271118,\n 'f': \"5.720765862271118\",\n }],\n [{\n 'v': 22,\n 'f': \"22\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Devonshire Terrace, Bayswater\",\n\"weekend\",\n{\n 'v': 1696.3063619518223,\n 'f': \"1696.3063619518223\",\n },\n{\n 'v': 4857,\n 'f': \"4857\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 5.720765862271118,\n 'f': \"5.720765862271118\",\n }],\n [{\n 'v': 23,\n 'f': \"23\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Gunmakers Lane, Old Ford\",\n\"weekend\",\n{\n 'v': 2200.4724409448813,\n 'f': \"2200.4724409448813\",\n },\n{\n 'v': 3429,\n 'f': \"3429\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 6.045736742314391,\n 'f': \"6.045736742314391\",\n }],\n [{\n 'v': 24,\n 'f': \"24\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Museum of London, Barbican\",\n\"weekend\",\n{\n 'v': 1248.1984334203657,\n 'f': \"1248.1984334203657\",\n },\n{\n 'v': 2298,\n 'f': \"2298\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 1.9964322433205839,\n 'f': \"1.9964322433205839\",\n }],\n [{\n 'v': 25,\n 'f': \"25\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Gunmakers Lane, Old Ford\",\n\"weekday\",\n{\n 'v': 2127.1255576800513,\n 'f': \"2127.1255576800513\",\n },\n{\n 'v': 4707,\n 'f': \"4707\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 6.045736742314391,\n 'f': \"6.045736742314391\",\n }],\n [{\n 'v': 26,\n 'f': \"26\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Gun Makers Lane, Old Ford\",\n\"weekday\",\n{\n 'v': 2141.286370597244,\n 'f': \"2141.286370597244\",\n },\n{\n 'v': 1959,\n 'f': \"1959\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 6.045736742314391,\n 'f': \"6.045736742314391\",\n }],\n [{\n 'v': 27,\n 'f': \"27\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Gun Makers Lane, Old Ford\",\n\"weekend\",\n{\n 'v': 2730.0,\n 'f': \"2730.0\",\n },\n{\n 'v': 1076,\n 'f': \"1076\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 6.045736742314391,\n 'f': \"6.045736742314391\",\n }],\n [{\n 'v': 28,\n 'f': \"28\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Lancaster Drive, Blackwall\",\n\"weekday\",\n{\n 'v': 1285.4388984509465,\n 'f': \"1285.4388984509465\",\n },\n{\n 'v': 1743,\n 'f': \"1743\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 6.348075369076817,\n 'f': \"6.348075369076817\",\n }],\n [{\n 'v': 29,\n 'f': \"29\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Lancaster Drive, Blackwall\",\n\"weekend\",\n{\n 'v': 1881.8060695780907,\n 'f': \"1881.8060695780907\",\n },\n{\n 'v': 1351,\n 'f': \"1351\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 6.348075369076817,\n 'f': \"6.348075369076817\",\n }],\n [{\n 'v': 30,\n 'f': \"30\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Peterborough Road, Sands End\",\n\"weekend\",\n{\n 'v': 3673.0024813895766,\n 'f': \"3673.0024813895766\",\n },\n{\n 'v': 1209,\n 'f': \"1209\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 7.502868826168464,\n 'f': \"7.502868826168464\",\n }],\n [{\n 'v': 31,\n 'f': \"31\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Peterborough Road, Sands End\",\n\"weekday\",\n{\n 'v': 1897.2017673048601,\n 'f': \"1897.2017673048601\",\n },\n{\n 'v': 2716,\n 'f': \"2716\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 7.502868826168464,\n 'f': \"7.502868826168464\",\n }],\n [{\n 'v': 32,\n 'f': \"32\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Alma Road, Wandsworth\",\n\"weekday\",\n{\n 'v': 1479.633540372671,\n 'f': \"1479.633540372671\",\n },\n{\n 'v': 3220,\n 'f': \"3220\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 7.504154533112758,\n 'f': \"7.504154533112758\",\n }],\n [{\n 'v': 33,\n 'f': \"33\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Alma Road, Wandsworth\",\n\"weekend\",\n{\n 'v': 2784.1864268192953,\n 'f': \"2784.1864268192953\",\n },\n{\n 'v': 1223,\n 'f': \"1223\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 7.504154533112758,\n 'f': \"7.504154533112758\",\n }],\n [{\n 'v': 34,\n 'f': \"34\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Parsons Green Station, Parsons Green\",\n\"weekday\",\n{\n 'v': 1295.7443646271986,\n 'f': \"1295.7443646271986\",\n },\n{\n 'v': 12111,\n 'f': \"12111\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 7.584153672086318,\n 'f': \"7.584153672086318\",\n }],\n [{\n 'v': 35,\n 'f': \"35\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"New Fetter Lane, Holborn\",\n\"weekend\",\n{\n 'v': 1724.7986577181205,\n 'f': \"1724.7986577181205\",\n },\n{\n 'v': 1788,\n 'f': \"1788\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 2.015199947060962,\n 'f': \"2.015199947060962\",\n }],\n [{\n 'v': 36,\n 'f': \"36\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Parsons Green Station, Parsons Green\",\n\"weekend\",\n{\n 'v': 1961.640031438302,\n 'f': \"1961.640031438302\",\n },\n{\n 'v': 3817,\n 'f': \"3817\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 7.584153672086318,\n 'f': \"7.584153672086318\",\n }],\n [{\n 'v': 37,\n 'f': \"37\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Elysium Place, Fulham\",\n\"weekend\",\n{\n 'v': 2223.5514018691583,\n 'f': \"2223.5514018691583\",\n },\n{\n 'v': 1284,\n 'f': \"1284\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 8.130351102767875,\n 'f': \"8.130351102767875\",\n }],\n [{\n 'v': 38,\n 'f': \"38\",\n },\n{\n 'v': 1,\n 'f': \"1\",\n },\n\"Elysium Place, Fulham\",\n\"weekday\",\n{\n 'v': 1264.1361556064062,\n 'f': \"1264.1361556064062\",\n },\n{\n 'v': 3496,\n 'f': \"3496\",\n },\n{\n 'v': 13,\n 'f': \"13\",\n },\n{\n 'v': 8.130351102767875,\n 'f': \"8.130351102767875\",\n }],\n [{\n 'v': 39,\n 'f': \"39\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Lambeth North Station, Waterloo\",\n\"weekday\",\n{\n 'v': 901.7441423380532,\n 'f': \"901.7441423380532\",\n },\n{\n 'v': 7981,\n 'f': \"7981\",\n },\n{\n 'v': 14,\n 'f': \"14\",\n },\n{\n 'v': 0.8382981864852832,\n 'f': \"0.8382981864852832\",\n }],\n [{\n 'v': 40,\n 'f': \"40\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Lambeth North Station, 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},\n{\n 'v': 3232,\n 'f': \"3232\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 3.6644273143673622,\n 'f': \"3.6644273143673622\",\n }],\n [{\n 'v': 794,\n 'f': \"794\",\n },\n{\n 'v': 4,\n 'f': \"4\",\n },\n\"Chapel Place, Marylebone\",\n\"weekday\",\n{\n 'v': 1006.499506741204,\n 'f': \"1006.499506741204\",\n },\n{\n 'v': 12164,\n 'f': \"12164\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 3.683772365148935,\n 'f': \"3.683772365148935\",\n }],\n [{\n 'v': 795,\n 'f': \"795\",\n },\n{\n 'v': 3,\n 'f': \"3\",\n },\n\"Tanner Street, Bermondsey\",\n\"weekday\",\n{\n 'v': 1365.0398390342036,\n 'f': \"1365.0398390342036\",\n },\n{\n 'v': 12425,\n 'f': \"12425\",\n },\n{\n 'v': 40,\n 'f': \"40\",\n },\n{\n 'v': 1.4830282477680599,\n 'f': \"1.4830282477680599\",\n }],\n [{\n 'v': 796,\n 'f': \"796\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Chapel Place, Marylebone\",\n\"weekend\",\n{\n 'v': 1649.5457822638793,\n 'f': \"1649.5457822638793\",\n },\n{\n 'v': 2774,\n 'f': \"2774\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 3.683772365148935,\n 'f': \"3.683772365148935\",\n }],\n [{\n 'v': 797,\n 'f': \"797\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"South Audley Street, Mayfair\",\n\"weekday\",\n{\n 'v': 1116.0444993819524,\n 'f': \"1116.0444993819524\",\n },\n{\n 'v': 4854,\n 'f': \"4854\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 3.695760013136258,\n 'f': \"3.695760013136258\",\n }],\n [{\n 'v': 798,\n 'f': \"798\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"South Audley Street, Mayfair\",\n\"weekend\",\n{\n 'v': 1648.9981447124305,\n 'f': \"1648.9981447124305\",\n },\n{\n 'v': 1078,\n 'f': \"1078\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 3.695760013136258,\n 'f': \"3.695760013136258\",\n }],\n [{\n 'v': 799,\n 'f': \"799\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Northdown Street, King's Cross\",\n\"weekday\",\n{\n 'v': 1242.7689429373245,\n 'f': \"1242.7689429373245\",\n },\n{\n 'v': 9621,\n 'f': \"9621\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 3.7045586867054605,\n 'f': \"3.7045586867054605\",\n }],\n [{\n 'v': 800,\n 'f': \"800\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Northdown Street, King's Cross\",\n\"weekend\",\n{\n 'v': 1676.8891022563616,\n 'f': \"1676.8891022563616\",\n },\n{\n 'v': 2083,\n 'f': \"2083\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 3.7045586867054605,\n 'f': \"3.7045586867054605\",\n }],\n [{\n 'v': 801,\n 'f': \"801\",\n },\n{\n 'v': 4,\n 'f': \"4\",\n },\n\"Marylebone Lane, Marylebone\",\n\"weekday\",\n{\n 'v': 1203.2693230916962,\n 'f': \"1203.2693230916962\",\n },\n{\n 'v': 12498,\n 'f': \"12498\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 3.7118826459007033,\n 'f': \"3.7118826459007033\",\n }],\n [{\n 'v': 802,\n 'f': \"802\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Marylebone Lane, Marylebone\",\n\"weekend\",\n{\n 'v': 2067.5923392612854,\n 'f': \"2067.5923392612854\",\n },\n{\n 'v': 4386,\n 'f': \"4386\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 3.7118826459007033,\n 'f': \"3.7118826459007033\",\n }],\n [{\n 'v': 803,\n 'f': \"803\",\n },\n{\n 'v': 4,\n 'f': \"4\",\n },\n\"Hyde Park Corner, Hyde Park\",\n\"weekday\",\n{\n 'v': 2997.980672402526,\n 'f': \"2997.980672402526\",\n },\n{\n 'v': 56603,\n 'f': \"56603\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 3.720811451857217,\n 'f': \"3.720811451857217\",\n }],\n [{\n 'v': 804,\n 'f': \"804\",\n },\n{\n 'v': 4,\n 'f': \"4\",\n },\n\"Hyde Park Corner, Hyde Park\",\n\"weekend\",\n{\n 'v': 3036.1054756368594,\n 'f': \"3036.1054756368594\",\n },\n{\n 'v': 39137,\n 'f': \"39137\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 3.720811451857217,\n 'f': \"3.720811451857217\",\n }],\n [{\n 'v': 805,\n 'f': \"805\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Millennium Hotel, Mayfair\",\n\"weekend\",\n{\n 'v': 1850.7626514611545,\n 'f': \"1850.7626514611545\",\n },\n{\n 'v': 1403,\n 'f': \"1403\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 3.741085286996207,\n 'f': 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809,\n 'f': \"809\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Grosvenor Square, Mayfair\",\n\"weekend\",\n{\n 'v': 1875.2074622064963,\n 'f': \"1875.2074622064963\",\n },\n{\n 'v': 3109,\n 'f': \"3109\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 3.7468039887207256,\n 'f': \"3.7468039887207256\",\n }],\n [{\n 'v': 810,\n 'f': \"810\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Warren Street Station, Euston\",\n\"weekend\",\n{\n 'v': 1511.1225685493314,\n 'f': \"1511.1225685493314\",\n },\n{\n 'v': 4267,\n 'f': \"4267\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 3.782424273925941,\n 'f': \"3.782424273925941\",\n }],\n [{\n 'v': 811,\n 'f': \"811\",\n },\n{\n 'v': 4,\n 'f': \"4\",\n },\n\"Warren Street Station, Euston\",\n\"weekday\",\n{\n 'v': 918.7289719626162,\n 'f': \"918.7289719626162\",\n },\n{\n 'v': 20330,\n 'f': \"20330\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 3.782424273925941,\n 'f': \"3.782424273925941\",\n }],\n [{\n 'v': 812,\n 'f': \"812\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Knightsbridge, Hyde Park\",\n\"weekday\",\n{\n 'v': 2454.0388463802246,\n 'f': \"2454.0388463802246\",\n },\n{\n 'v': 8495,\n 'f': \"8495\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 3.8434700348738677,\n 'f': \"3.8434700348738677\",\n }],\n [{\n 'v': 813,\n 'f': \"813\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Knightsbridge, Hyde Park\",\n\"weekend\",\n{\n 'v': 2620.8305489260147,\n 'f': \"2620.8305489260147\",\n },\n{\n 'v': 6285,\n 'f': \"6285\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 3.8434700348738677,\n 'f': \"3.8434700348738677\",\n }],\n [{\n 'v': 814,\n 'f': \"814\",\n },\n{\n 'v': 4,\n 'f': \"4\",\n },\n\"Hampstead Road, Euston\",\n\"weekday\",\n{\n 'v': 1079.4728434504798,\n 'f': \"1079.4728434504798\",\n },\n{\n 'v': 17528,\n 'f': \"17528\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 3.8814989181236816,\n 'f': \"3.8814989181236816\",\n }],\n [{\n 'v': 815,\n 'f': \"815\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Hampstead Road, 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'v': 5069,\n 'f': \"5069\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 4.010708376935723,\n 'f': \"4.010708376935723\",\n }],\n [{\n 'v': 825,\n 'f': \"825\",\n },\n{\n 'v': 4,\n 'f': \"4\",\n },\n\"Sedding Street, Sloane Square\",\n\"weekday\",\n{\n 'v': 1147.0034285714285,\n 'f': \"1147.0034285714285\",\n },\n{\n 'v': 13125,\n 'f': \"13125\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 4.010708376935723,\n 'f': \"4.010708376935723\",\n }],\n [{\n 'v': 826,\n 'f': \"826\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Upper Grosvenor Street, Mayfair\",\n\"weekday\",\n{\n 'v': 1557.3639743156468,\n 'f': \"1557.3639743156468\",\n },\n{\n 'v': 2959,\n 'f': \"2959\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 4.020212856925267,\n 'f': \"4.020212856925267\",\n }],\n [{\n 'v': 827,\n 'f': \"827\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Upper Grosvenor Street, Mayfair\",\n\"weekend\",\n{\n 'v': 2075.6557377049185,\n 'f': \"2075.6557377049185\",\n },\n{\n 'v': 976,\n 'f': \"976\",\n 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'f': \"3\",\n },\n\"East India DLR, Blackwall\",\n\"weekend\",\n{\n 'v': 2700.130293159609,\n 'f': \"2700.130293159609\",\n },\n{\n 'v': 1842,\n 'f': \"1842\",\n },\n{\n 'v': 43,\n 'f': \"43\",\n },\n{\n 'v': 6.845423242123661,\n 'f': \"6.845423242123661\",\n }],\n [{\n 'v': 841,\n 'f': \"841\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"Green Street, Mayfair\",\n\"weekend\",\n{\n 'v': 2133.0697190426654,\n 'f': \"2133.0697190426654\",\n },\n{\n 'v': 2883,\n 'f': \"2883\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 4.203125687217355,\n 'f': \"4.203125687217355\",\n }],\n [{\n 'v': 842,\n 'f': \"842\",\n },\n{\n 'v': 2,\n 'f': \"2\",\n },\n\"George Street, Marylebone\",\n\"weekend\",\n{\n 'v': 1466.6920152091257,\n 'f': \"1466.6920152091257\",\n },\n{\n 'v': 2367,\n 'f': \"2367\",\n },\n{\n 'v': 0,\n 'f': \"0\",\n },\n{\n 'v': 4.230411089002196,\n 'f': \"4.230411089002196\",\n }],\n [{\n 'v': 843,\n 'f': \"843\",\n },\n{\n 'v': 4,\n 'f': \"4\",\n },\n\"George Street, 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