634 lines
355 KiB
Plaintext
634 lines
355 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "e44db5d2-08ee-4982-bcc8-fe2bd435900a",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/html": [
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"<div>\n",
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"<style scoped>\n",
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" .dataframe tbody tr th:only-of-type {\n",
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" vertical-align: middle;\n",
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" }\n",
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"\n",
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" .dataframe tbody tr th {\n",
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" vertical-align: top;\n",
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" }\n",
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"\n",
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" .dataframe thead th {\n",
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" text-align: right;\n",
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" }\n",
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"</style>\n",
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"<table border=\"1\" class=\"dataframe\">\n",
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" <thead>\n",
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" <tr style=\"text-align: right;\">\n",
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" <th></th>\n",
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" <th>Rank</th>\n",
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" <th>Image Link</th>\n",
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" <th>Title</th>\n",
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" <th>Current</th>\n",
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" <th>24h Peak</th>\n",
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" <th>All-Time Peak</th>\n",
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" <th>Genre</th>\n",
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" </tr>\n",
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" </thead>\n",
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" <tbody>\n",
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" <tr>\n",
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" <th>0</th>\n",
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" <td>1.0</td>\n",
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" <td>https://shared.cloudflare.steamstatic.com/stor...</td>\n",
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" <td>counter-strike 2</td>\n",
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" <td>1015721</td>\n",
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" <td>1276702</td>\n",
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" <td>1818773</td>\n",
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" <td>first-person shooter</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>1</th>\n",
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" <td>2.0</td>\n",
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" <td>https://shared.cloudflare.steamstatic.com/stor...</td>\n",
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" <td>dota 2</td>\n",
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" <td>702487</td>\n",
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" <td>805624</td>\n",
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" <td>1295114</td>\n",
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" <td>moba (multiplayer online battle arena)</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>2</th>\n",
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" <td>3.0</td>\n",
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" <td>https://shared.cloudflare.steamstatic.com/stor...</td>\n",
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" <td>banana</td>\n",
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" <td>409758</td>\n",
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" <td>428540</td>\n",
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" <td>917272</td>\n",
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" <td>unknown</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>3</th>\n",
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" <td>4.0</td>\n",
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" <td>https://shared.cloudflare.steamstatic.com/stor...</td>\n",
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" <td>pubg: battlegrounds</td>\n",
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" <td>371000</td>\n",
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" <td>688475</td>\n",
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" <td>3257248</td>\n",
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" <td>battle royale</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>4</th>\n",
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" <td>5.0</td>\n",
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" <td>https://shared.cloudflare.steamstatic.com/stor...</td>\n",
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" <td>elden ring</td>\n",
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" <td>294359</td>\n",
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" <td>319707</td>\n",
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" <td>953426</td>\n",
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" <td>action rpg</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>...</th>\n",
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" <td>...</td>\n",
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" <td>...</td>\n",
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" <td>...</td>\n",
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" <td>...</td>\n",
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" <td>...</td>\n",
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" <td>...</td>\n",
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" <td>...</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>95</th>\n",
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" <td>96.0</td>\n",
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" <td>https://shared.cloudflare.steamstatic.com/stor...</td>\n",
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" <td>soundpad</td>\n",
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" <td>16028</td>\n",
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" <td>17064</td>\n",
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" <td>21920</td>\n",
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" <td>simulation / tycoon</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>96</th>\n",
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" <td>97.0</td>\n",
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" <td>https://shared.cloudflare.steamstatic.com/stor...</td>\n",
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" <td>supermarket simulator</td>\n",
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" <td>15817</td>\n",
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" <td>15875</td>\n",
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" <td>51363</td>\n",
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" <td>vampire / open world</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>97</th>\n",
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" <td>98.0</td>\n",
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" <td>https://shared.cloudflare.steamstatic.com/stor...</td>\n",
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" <td>v rising</td>\n",
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" <td>15803</td>\n",
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" <td>16275</td>\n",
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" <td>150645</td>\n",
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" <td>tactical shooter</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>98</th>\n",
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" <td>99.0</td>\n",
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" <td>https://shared.cloudflare.steamstatic.com/stor...</td>\n",
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" <td>squad</td>\n",
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" <td>15729</td>\n",
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" <td>19288</td>\n",
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" <td>35151</td>\n",
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" <td>grand strategy</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>99</th>\n",
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" <td>100.0</td>\n",
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" <td>https://shared.cloudflare.steamstatic.com/stor...</td>\n",
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" <td>victoria 3</td>\n",
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" <td>15609</td>\n",
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" <td>17598</td>\n",
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" <td>70100</td>\n",
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" <td>unknown</td>\n",
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" </tr>\n",
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" </tbody>\n",
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"</table>\n",
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"<p>100 rows × 7 columns</p>\n",
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"</div>"
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],
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"text/plain": [
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" Rank Image Link \\\n",
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"0 1.0 https://shared.cloudflare.steamstatic.com/stor... \n",
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"1 2.0 https://shared.cloudflare.steamstatic.com/stor... \n",
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"2 3.0 https://shared.cloudflare.steamstatic.com/stor... \n",
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"3 4.0 https://shared.cloudflare.steamstatic.com/stor... \n",
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"4 5.0 https://shared.cloudflare.steamstatic.com/stor... \n",
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".. ... ... \n",
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"95 96.0 https://shared.cloudflare.steamstatic.com/stor... \n",
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"96 97.0 https://shared.cloudflare.steamstatic.com/stor... \n",
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"97 98.0 https://shared.cloudflare.steamstatic.com/stor... \n",
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"98 99.0 https://shared.cloudflare.steamstatic.com/stor... \n",
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"99 100.0 https://shared.cloudflare.steamstatic.com/stor... \n",
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"\n",
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" Title Current 24h Peak All-Time Peak \\\n",
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"0 counter-strike 2 1015721 1276702 1818773 \n",
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"1 dota 2 702487 805624 1295114 \n",
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"2 banana 409758 428540 917272 \n",
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"3 pubg: battlegrounds 371000 688475 3257248 \n",
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"4 elden ring 294359 319707 953426 \n",
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".. ... ... ... ... \n",
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"95 soundpad 16028 17064 21920 \n",
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"96 supermarket simulator 15817 15875 51363 \n",
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"97 v rising 15803 16275 150645 \n",
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"98 squad 15729 19288 35151 \n",
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"99 victoria 3 15609 17598 70100 \n",
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"\n",
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" Genre \n",
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"0 first-person shooter \n",
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"1 moba (multiplayer online battle arena) \n",
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"2 unknown \n",
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"3 battle royale \n",
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"4 action rpg \n",
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".. ... \n",
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"95 simulation / tycoon \n",
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"96 vampire / open world \n",
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"97 tactical shooter \n",
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"98 grand strategy \n",
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"99 unknown \n",
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"\n",
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"[100 rows x 7 columns]"
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]
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},
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"execution_count": 1,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"import pandas as pd\n",
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"import matplotlib.pyplot as plt\n",
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"import seaborn as sns\n",
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"from sklearn.linear_model import LinearRegression\n",
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"import numpy as np\n",
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"from scipy import stats\n",
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"import warnings\n",
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"warnings.filterwarnings('ignore')\n",
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"\n",
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"df = pd.read_csv('module_a.csv')\n",
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"\n",
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"df"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "a7a25c54-121f-4614-ba10-dccdec0f24f1",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"<class 'pandas.core.frame.DataFrame'>\n",
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"RangeIndex: 100 entries, 0 to 99\n",
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"Data columns (total 7 columns):\n",
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" # Column Non-Null Count Dtype \n",
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"--- ------ -------------- ----- \n",
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" 0 Rank 100 non-null float64\n",
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" 1 Image Link 100 non-null object \n",
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" 2 Title 100 non-null object \n",
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" 3 Current 100 non-null int64 \n",
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" 4 24h Peak 100 non-null int64 \n",
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" 5 All-Time Peak 100 non-null int64 \n",
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" 6 Genre 100 non-null object \n",
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"dtypes: float64(1), int64(3), object(3)\n",
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"memory usage: 5.6+ KB\n"
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]
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}
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],
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"source": [
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"df.info()"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"id": "22efb72d-de48-45fe-8e7e-329b518acb90",
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"metadata": {},
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"outputs": [],
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"source": [
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"# Создание численной переменной для дальнейших работ\n",
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"nums = df.select_dtypes('int64')"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"id": "4dc11b15-0d86-41d1-8c8f-8b6eddf9ec9c",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"\n",
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" Средние значения \n",
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" Current 70578.93\n",
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"24h Peak 85990.56\n",
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"All-Time Peak 276282.68\n",
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"dtype: float64\n",
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"\n",
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" Медиана (центральные значения) \n",
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" Current 30677.0\n",
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"24h Peak 37379.5\n",
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"All-Time Peak 104201.0\n",
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"dtype: float64\n",
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"\n",
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" Минимальные значения \n",
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" Current 15609\n",
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"24h Peak 15875\n",
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"All-Time Peak 21920\n",
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"dtype: int64\n",
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"\n",
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" Максимальные значения \n",
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" Current 1015721\n",
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"24h Peak 1276702\n",
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"All-Time Peak 3257248\n",
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"dtype: int64\n",
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"\n",
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" Квантили (25%, 50% и 75%) \n",
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" Current 24h Peak All-Time Peak\n",
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"0.25 20386.25 22942.75 69868.00\n",
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"0.50 30677.00 37379.50 104201.00\n",
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"0.75 62550.50 65821.50 248263.25\n"
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]
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}
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],
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"source": [
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"# Расчет основных статистических характеристик данных\n",
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"mean = nums.mean() # Средние значения\n",
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"median = nums.median() # Медиана (центральные значения)\n",
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"min_values = nums.min() # Минимальные значения\n",
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"max_values = nums.max() # Максимальные значения\n",
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"quantiles = nums.quantile([0.25, 0.5, 0.75]) # Квантили (25%, 50% и 75%)\n",
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"\n",
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"print('\\n Средние значения \\n', mean)\n",
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"print('\\n Медиана (центральные значения) \\n', median)\n",
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"print('\\n Минимальные значения \\n', min_values)\n",
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"print('\\n Максимальные значения \\n', max_values)\n",
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"print('\\n Квантили (25%, 50% и 75%) \\n', quantiles)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"id": "faa8a3ef-09d4-4009-9758-620bf46a6028",
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"metadata": {},
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"outputs": [
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{
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"data": {
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",
|
||
"text/plain": [
|
||
"<Figure size 1500x1000 with 3 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# Построены графики распределения данных\n",
|
||
"plt.figure(figsize=(15, 10))\n",
|
||
"for i, col in enumerate(nums, 1):\n",
|
||
" plt.subplot(2, 2, i)\n",
|
||
" sns.scatterplot(df[col], color=\"r\")\n",
|
||
" plt.title(f\"KDE для {col}\")\n",
|
||
" plt.xlabel(\"Значение\")\n",
|
||
" plt.ylabel(\"Плотность\")\n",
|
||
"plt.tight_layout()\n",
|
||
"plt.show()\n",
|
||
"# закомментить каждую строку желательно"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "155bb054-8770-498e-be3a-a9f15503b153",
|
||
"metadata": {},
|
||
"source": [
|
||
"На этих графиках можно увидеть, что данные распределены более-менее нормально"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 7,
|
||
"id": "7949b4e5-1634-487e-98b4-3afc733fdd57",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 2 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# Корреляционный анализ\n",
|
||
"corr_matr = nums.corr() # создание переменной для построения матрицы из чисел\n",
|
||
"\n",
|
||
"sns.heatmap(corr_matr, annot=True) # ввод данных\n",
|
||
"plt.title('Корреляционная матрица \\n', fontsize=14)\n",
|
||
"plt.tight_layout()\n",
|
||
"plt.show() # вывод матрицы"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "e370fad0-d937-4e72-9e71-a423327490ab",
|
||
"metadata": {},
|
||
"source": [
|
||
"Был выполнен корреляционный анализ между параметрами Current (текущее количество пользователей), 24h Peak (количество пользователей за последние 24 часа) и All-Time Peak (количество пользователей за все время)\n",
|
||
"\n",
|
||
"на данной матрице можно увидеть, что у параметров Current и 24h Peak хорошая взаимосвязь\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "c5ae17f3-ffd8-4c4a-ba96-44b901c55f9d",
|
||
"metadata": {},
|
||
"source": [
|
||
"Тенденции по жанрам:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 10,
|
||
"id": "463217e5-d96c-4f05-8d40-0a79640b86a1",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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bGQFAMhEQEKDPP/9cb775po4ePaoyZcqof//+2rRpk4oUKaK5c+caHdHusCUCEG/69OkaOnSo+vTpo1GjRllesc+SJYsmTZpEmZNCFS9eXJMnT9a4ceP01Vdf6eOPP9b06dPl7++v3r17q3379qzaSUHeeeedRGPvv/++AUlgS76+vvruu+/06aefJhhfunSpChQoYFAq2IqHh4c2btyYqLDduHGjPDw8DEoFW2Lbk5SvWbNmkv5cYdeuXbsE74CKjY3VkSNHVKlSJaPiAQD+pfPnz8vPz0+StHz5cr311lsaPXq0Dh48qDfffNPgdPaJwhaIN3XqVM2aNUtNmjRJsOl5mTJlNGDAAAOTwZaio6O1cuVKzZ07V+vXr1eFChXUsWNHXblyRYMHD9aGDRu0aNEio2MC+BeCg4PVokULbdu2TZUrV5bJZNKOHTu0ceNGfffdd0bHg5X1799fvXr10qFDh1SpUiXL/Q4JCdHkyZONjgcbmDp1qqZPn55g25PGjRuraNGiGjZsGIVtCuDq6irpzy0vMmXKpHTp0lmuOTs7q0KFCurcubNR8QAA/5Kzs7MePnwoSdqwYYPlZ3i2bNl4t8RzUNgC8c6fP6+SJUsmGndxcVFkZKQBiWBLBw8e1Ny5c7V48WI5OjoqMDBQEydOVOHChS1z6tSpoypVqhiYEsB/8fbbb+t///ufJk6cqB9++EFms1l+fn7au3fvM7/PI3n74IMPlDt3bo0fP95SyBcpUkRLly7l3TEpVERExDNXV1aqVEkREREGJIK1PX1rrJeXlwYOHKj06dMbnAgA8Cpef/119evXT5UrV9bevXu1dOlSSX9ucfN0qzokRGELxPP29tahQ4cSnTb766+/WpbuI+UoW7asateurenTp6tJkyZycnJKNMfPz0/vvfeeAekAvKrSpUtr4cKFRsdAEmnatKmaNm1qdAwkEbY9ST3atm2ry5cvJ7qvZ86ckZOTk7y8vIwJBqtat26dqlev/szfxwGkDNOmTVP37t21bNkyTZ8+XXnz5pX0Z99Sr149g9PZJw4dA+LNnTtXQ4YM0fjx49WxY0d98803CgsL02effaZvvvmG4i6FuXjxYqJyHikTTwJSp9jYWP3www86efKkTCaT/Pz81KhRIzk6OhodDTZy4MCBBPeb1dQp1/Lly9WiRQvVqlXrmdueUN6nHFWrVlWHDh0S7Te/cOFCffPNN9qyZYsxwWBVPj4+unXrlurWravGjRvrzTffVJYsWYyOBQCGorAF/mLWrFkaOXKkLl26JEnKmzevhg0bpo4dOxqcDLby1yf4RYoUUalSpYyOBCvjSUDqc/bsWTVo0EC///67ChUqJLPZrNOnT8vDw0M///yz8ufPb3REWNG1a9f03nvvacuWLcqSJYvMZrPu3r2r6tWra8mSJYlOl0fKcODAAU2cOFEnT560bHvSv39/ivoUJnPmzDp48GCiQwXPnj2rMmXK6M6dO8YEg9UdOXJEq1at0qpVq3TkyBFVrlxZjRs3VqNGjVhJDaQQYWFhmjt3rsLCwjR58mS5ublpzZo18vDwUNGiRY2OZ3cobAFJMTEx+vbbb1W3bl3lzp1bN27cUFxcnNzc3IyOBhvhCX7qwpOA1OXNN9+U2WzWt99+q2zZskmSbt68qTZt2sjBwUE///yzwQlhTS1atFBYWJgWLFigIkWKSJJOnDih999/X76+vlq8eLHBCQH8V66urtqyZUuiIv7AgQOqVq2a7t+/b1Ay2NKVK1csv7dt3rxZBQsWtPzeVqZMGaPjAfgPtm7dqvr166ty5cratm2bTp48KR8fH40dO1Z79+7VsmXLjI5odyhsgXjp06fXyZMneZt8KsET/NSLJwEpX4YMGbRnzx4FBAQkGD98+LAqV66sBw8eGJQMtuDq6qoNGzaobNmyCcb37t2rOnXqsAIvhYqLi9PZs2d17do1xcXFJbjGgaEpR8OGDZU+fXrLIbHSn1vetGjRQpGRkfr1118NTghbi4yM1Jo1a/Tjjz/ql19+Ub9+/RLtXw3A/lWsWFHvvvuu+vXrp0yZMunw4cPy8fHRvn371KRJE12+fNnoiHaHQ8eAeOXLl1doaCiFbSqxZs0abdiwwVLWSn8eMvbll1+qTp06BiaDrbm7u6tbt27q1q1bgicB9erV40lACuHi4vLMVVcPHjyQs7OzAYlgS3Fxcc/co9rJySlRkYeUYc+ePWrVqpUuXryov689MZlMio2NNSgZrG3s2LGqUqWKChUqpDfeeEOStH37dt27d0+bNm0yOB2SQoYMGfT222/r7bffVlxcnG7evGl0JAD/wdGjR7Vo0aJE4zlz5uTf9XNQ2ALxunfvrv79++v3339X6dKllSFDhgTXixUrZlAy2AJP8CHxJCClatiwobp06aLZs2erXLlykqT//e9/6tatmxo1amRwOlhbjRo11Lt3by1evFju7u6SpMuXL6tv376qWbOmwelgC926dVOZMmX0888/K0+ePDKZTEZHgo34+fnpyJEjmjZtmg4fPqx06dKpbdu26tGjh2XLG6QeDg4ObFsGJFNZsmRRRESEvL29E4yHhoYqb968BqWyb2yJAMRzcHBINGYymWQ2m1mtkQI1btxYd+7cSfQEv3Xr1sqaNatWrlxpcEIA/9WdO3f0/vvva/Xq1ZYXZmJiYtSoUSOFhITI1dXV4ISwpkuXLqlx48Y6duyYPDw8ZDKZFB4eroCAAP3444967bXXjI4IK8uQIYMOHz6c6CAqAABgnz766CPt3r1b33//vQoWLKiDBw/qjz/+UNu2bdW2bVsFBQUZHdHuUNgC8S5evPjC62yVkLLwBB9I+c6cOaPffvvNcoI85U7Ktn79+gT3u1atWkZHgo3UqFFDH330kerVq2d0FCSRhw8fKjw8XFFRUQnGeQccACQP0dHRateunZYsWSKz2aw0adIoNjZWrVq1UkhIiGWfcvx/FLYAUjWe4AMAkLysXLlS//d//6eBAwcqICAg0RZHlHgpx/Xr19W+ffvnHi7GO+AAIHkJCwtTaGio4uLiVLJkSRUoUMDoSHaLwhb4mxMnTjzzFXz2PUw5YmJilDZtWh06dEj+/v5GxwFgZbGxsQoJCdHGjRufeYI8B9WkPBs3bnzu/Z4zZ45BqWArbGOVerRu3VoXLlzQpEmTVL16da1cuVJ//PGHRo4cqfHjx6tBgwZGR4SVxcXF6ezZs8/8fl6lShWDUgFA0uPQMSDeuXPn1LRpUx09etTyS78ky0EW/PKfcqRJk0aenp7c01Tg3r17Lz03c+bMNkyCpNS7d2+FhISoQYMG8vf350CiFC44OFjDhw9XmTJlOIAqlTh//rzREZBENm3apB9//FFly5aVg4ODPD09Vbt2bWXOnFmfffYZhW0Ks2fPHrVq1UoXL17U39eV8WIMkPz069fvpedOmDDBhkmSJwpbIF7v3r3l7e2tDRs2yMfHR3v37tXNmzfVv39/jRs3zuh4sLL/+7//06BBg7Rw4UJOGU7BsmTJ8o/lDSuyUp4lS5bou+++05tvvml0FCSBGTNmKCQkRIGBgUZHQRJxdXVVlixZnnnt7NmzSRsGNhUZGSk3NzdJUrZs2XT9+nUVLFhQAQEBOnjwoMHpYG3dunVTmTJl9PPPP/MCHJAChIaGJnh84MABxcbGqlChQpKk06dPy9HRUaVLlzYint2jsAXi7d69W5s2bVLOnDnl4OAgBwcHvf766/rss8/Uq1evRN9skLxNmTJFZ8+elbu7uzw9PZUhQ4YE13kSkDJs3rzZ6AgwgLOzMweMpSJRUVGqVKmS0TGQhN58801t2rRJadOmTTB+6tQp1axZU7///rtByWBthQoV0qlTp+Tl5aUSJUro66+/lpeXl2bMmKE8efIYHQ9WdubMGS1btoyf4UAK8dfnYhMmTFCmTJk0b948Zc2aVZJ0+/ZttW/fXm+88YZREe0ahS0QLzY2VhkzZpQk5ciRQ1euXFGhQoXk6empU6dOGZwO1takSROjIyAJVK1a1egIMED//v01efJkTZs2jdU5qUCnTp20aNEiDRkyxOgoSCJZs2ZVkyZN9NNPPylNmj+fzpw8eVI1atRQ8+bNDU4Ha+rTp48iIiIkSUFBQapbt66+/fZbOTs7KyQkxNhwsLry5cvr7NmzFLZACjR+/HitW7fOUtZKf/48HzlypOrUqaP+/fsbmM4+UdgC8fz9/XXkyBH5+PiofPnyGjt2rJydnTVz5kz5+PgYHQ9WFhQUZHQEGODOnTuaPXu2Tp48KZPJJD8/P3Xo0EGurq5GR8MratasWYLHmzZt0q+//qqiRYsmOkF+xYoVSRkNNvDXPdHi4uI0c+ZMbdiwQcWKFUt0v9kTLeVZvny5ateurVatWmnp0qU6fvy4atasqdatW3O/U5jWrVtbPi9ZsqQuXLig3377Tfny5VOOHDkMTAZb6Nmzp/r376+rV68qICAg0ffzYsWKGZQMwKu6d++e/vjjDxUtWjTB+LVr13T//n2DUtk3k/nvu3kDqdTatWsVGRmpZs2a6dy5c2rYsKF+++03Zc+eXUuXLlWNGjWMjgjgFezfv19169ZVunTpVK5cOZnNZu3fv1+PHj3SunXrVKpUKaMj4hW0b9/+pefOnTvXhkmQFKpXr/5S80wmkzZt2mTjNDDC3bt3Va1aNeXPn1/bt29X27Zt9cUXXxgdC8ArcHBwSDT29DBozhsAkre2bdtq69atGj9+vCpUqCDpz4MGBw4cqCpVqmjevHkGJ7Q/FLbAC9y6dUtZs2blLbVACvDGG2/I19dXs2bNsryFNiYmRp06ddK5c+e0bds2gxMCAJ7n3r17icauXr2qWrVqqWHDhhozZoxlPHPmzEkZDYCVXLx48YXXPT09kygJAGt7+PChBgwYoDlz5ig6OlqSlCZNGnXs2FFffPFFojNlQGELAEgl0qVLp9DQUBUuXDjB+IkTJ1SmTBk9fPjQoGSwtkePHslsNit9+vSS/nwCuHLlSvn5+alOnToGp4Ot3bt3T5s2bVLhwoUT/XtH8uXg4PDMF9CfPpVhFR4AAPYvMjJSYWFhMpvN8vX1pah9AfawBQCkCpkzZ1Z4eHiiAufSpUvKlCmTQalgC40bN1azZs3UrVs33blzR+XKlZOzs7Nu3LihCRMm6IMPPjA6IqyoefPmqlKlinr06KFHjx6pTJkyunDhgsxms5YsWaK3337b6Iiwgr+eNA0g5QoLC9OkSZMs5w0UKVJEvXv3Vv78+Y2OBsAKMmTIwH7UL4nCFkCqFhUVpfPnzyt//vyWt8kjZWrRooU6duyocePGqVKlSjKZTNqxY4cGDhyoli1bGh0PVnTw4EFNnDhRkrRs2TLlzp1boaGhWr58uYYOHUphm8Js27ZNgwcPliStXLlSZrNZd+7c0bx58zRy5EgK2xSiatWqRkdAEpo5c6YaNWqk3LlzGx0FSWjt2rVq1KiRSpQoocqVK8tsNmvXrl0qWrSoVq9erdq1axsdEQCSDFsiAEiVHj58qJ49e1o2Nz99+rR8fHzUq1cvubu765NPPjE4IawtKipKAwcO1IwZMxQTEyNJcnJy0gcffKAxY8bIxcXF4ISwlvTp01tOEW/evLmKFi2qoKAgXbp0SYUKFWL7ixQmXbp0On36tDw8PNS2bVu5u7trzJgxCg8Pl5+fnx48eGB0RNjAnTt3tHfvXl27dk1xcXEJrrVt29agVLCW6tWra/fu3SpevLgaN26sxo0bJzpZHClPyZIlVbdu3QR7UkvSJ598onXr1ungwYMGJQOApEdhCyBV6t27t3bu3KlJkyapXr16OnLkiHx8fLRq1SoFBQUpNDTU6IiwkYcPHybYN+npPqdIOYoVK6ZOnTqpadOm8vf315o1a1SxYkUdOHBADRo00NWrV42OCCsqWLCgRo4cqQYNGsjb21tLlixRjRo1dPjwYdWsWVM3btwwOiKsbPXq1WrdurUiIyOVKVOmBHvbmkwm3bp1y8B0sJbbt2/r559/1qpVq7R27VrlyJFDjRs3VqNGjVSlShU5ODgYHRFWljZtWh09elQFChRIMH769GkVK1ZMjx8/NigZACQ9fsoBf7FgwQJVrlxZ7u7ullNKJ02apB9//NHgZLC2H374QdOmTdPrr7+e4Imen5+fwsLCDEwGW0ufPr2yZs2q7NmzU9amUEOHDtWAAQPk5eWl8uXLq2LFipKkdevWqWTJkgang7X16dNHrVu31muvvSZ3d3dVq1ZN0p9bJQQEBBgbDjbRv39/dejQQffv39edO3d0+/ZtywdlbcqRNWtWtWnTRt99952uX7+uL7/8Uo8fP1ZgYKBy5syptm3batmyZYqMjDQ6KqwkZ86cOnToUKLxQ4cOyc3NLekDAXhln376qfbu3Wt0jGSJwhaIN336dPXr109vvvmm7ty5YzlhOEuWLJo0aZKx4WB1169ff+YvfpGRkc88hRrJX1xcnIYPHy5XV1d5enoqX758ypIli0aMGJHo7bRI3t555x2Fh4dr//79WrNmjWW8Zs2alr1tkXJ0795de/bs0Zw5c7Rjxw7LqjsfHx+NHDnS4HSwhcuXL6tXr1686JaKODs7q169evrqq6906dIlrV27Vl5eXhoxYoQmTJhgdDxYSefOndWlSxd9/vnn2r59u3bs2KExY8aoa9eu6tKli9HxAPwHERERatiwofLkyaMuXbro559/1pMnT4yOlSywJQIQz8/PT6NHj1aTJk2UKVMmHT58WD4+Pjp27JiqVavGWypTmKpVq+qdd95Rz549lSlTJh05ckTe3t7q0aOHzp49m6DkQcowaNAgzZ49W8HBwZaDLHbu3Klhw4apc+fOGjVqlNERAQAvoVmzZnrvvffUvHlzo6PADkRHR8vJycnoGLACs9msSZMmafz48bpy5Yokyd3dXQMHDlSvXr1YVAEkU2azWTt27NDq1au1atUqXb58WbVr11ajRo3UsGFD5ciRw+iIdonCFoiXLl06/fbbb/L09ExQ2J45c0bFihXTo0ePjI4IK9q1a5fq1aun1q1bKyQkRF27dtXx48e1e/dubd26VaVLlzY6IqzM3d1dM2bMUKNGjRKM//jjj+revbsuX75sUDIAwL8xe/ZsDR8+XO3bt1dAQECisu7v3+cBJD/379+XJGXKlMngJACs7eTJk1q9erV+/PFH7d+/X+XLl1ejRo3UsmVL5c2b1+h4doPCFojn5+enzz77TI0bN05Q2E6ZMkXz5s3TgQMHjI4IKzt69KjGjRunAwcOKC4uTqVKldLHH3/MnocpVNq0aXXkyBEVLFgwwfipU6dUokQJXpQBgGTiRYdNmUwmy7ZWAADAvl2/fl2rVq3SqlWr9MYbb2jAgAFGR7IbFLZAvLlz52rIkCEaP368OnbsqG+++UZhYWH67LPP9M033+i9994zOiKAV1C+fHmVL19eU6ZMSTDes2dP7du3T3v27DEoGQAAQOpUqlQpbdy4UVmzZlXJkiVfuO3BwYMHkzAZABgrjdEBAHvRvn17xcTE6KOPPtLDhw/VqlUr5c2bV5MnT6asTSHu3bv30nMzZ85swyQwwtixY9WgQQNt2LBBFStWlMlk0q5du3Tp0iX98ssvRscDALyk4cOHP/eayWTSkCFDkjANgFfRuHFjubi4WD5nn1oA+BMrbIFnuHHjhuLi4uTm5mZ0FFiRg4PDP/4SaDabeTtlCnblyhV9+eWX+u2332Q2m+Xn56fu3bvL3d3d6GiwstOnT2vLli26du2a4uLiElwbOnSoQalgK3fu3NHevXufeb/btm1rUCrYSsmSJRM8jo6O1vnz55UmTRrlz5+fVXgpzPbt2/X1118rLCxMy5YtU968ebVgwQJ5e3vr9ddfNzoeAAA2QWELINXYunXrS8+tWrWqDZPACOHh4fLw8HhmaR8eHq58+fIZkAq2MGvWLH3wwQfKkSOHcufOneCem0wmypwUZvXq1WrdurUiIyOVKVOmRPf71q1bBqZDUrl3757atWunpk2bKjAw0Og4sJLly5crMDBQrVu31oIFC3TixAn5+Pjoq6++0k8//cQ7ZFIYHx8f7du3T9mzZ08wfufOHZUqVUrnzp0zKBkAJD0KW6Rq/7RP0l/xBD9leV55ZzabdenSJcq7FMjR0VERERGJVs7fvHlTbm5urKpOQTw9PdW9e3d9/PHHRkdBEihYsKDefPNNjR49WunTpzc6Dgx07NgxNWzYUBcuXDA6CqykZMmS6tu3r9q2bZvgUOBDhw6pXr16unr1qtERYUUODg66evVqot/V/vjjD3l4eCgqKsqgZABeVWRkpDJkyGB0jGSFPWyRqjVp0sToCDCIt7f3M8u7W7duydvbm/IuBXq63cXfPXjwQGnTpjUgEWzl9u3bevfdd42OgSRy+fJl9erVi7IWunPnju7evWt0DFjRqVOnVKVKlUTjmTNn1p07d5I+EGxi1apVls/Xrl0rV1dXy+PY2Fht3LhR3t7eRkQDYCW5cuVS8+bN1aFDB7azeUkUtkjVgoKCjI4Ag1DepR79+vWT9P8PovlrqRMbG6v//e9/KlGihEHpYAvvvvuu1q1bp27duhkdBUmgbt262r9/v3x8fIyOgiQyZcqUBI/NZrMiIiK0YMEC1atXz6BUsIU8efLo7Nmz8vLySjC+Y8cO/s2nIE8X0ZhMJr3//vsJrjk5OcnLy0vjx483IBkAa1m8eLFCQkJUs2ZNeXp6qkOHDmrbti1nibwAhS0Qjz2TUgfKu9QnNDRU0p9P6I8ePSpnZ2fLNWdnZxUvXlwDBgwwKh5swNfXV0OGDNGePXsUEBAgJyenBNd79eplUDLYQoMGDTRw4ECdOHHimfe7UaNGBiWDrUycODHBYwcHB+XMmVPvv/++Bg0aZFAq2ELXrl3Vu3dvzZkzRyaTSVeuXNHu3bs1YMAADpBMQZ4eFunt7a19+/YpR44cBicCYG1vvfWW3nrrLd28eVPz589XSEiIhgwZorp166pDhw5q1KiR0qShovwr9rAF4rFnUupQvXp1SX8eQFaxYsVE5Z2Xl5cGDBigAgUKGBURNtK+fXtNnjxZmTNnNjoKbOxFb5s0mUy8AJfCODg4PPeayWRiixsgmRs8eLAmTpyox48fS5JcXFw0YMAAjRgxwuBkAIBXMXXqVA0cOFBRUVHKkSOHunXrpk8++YRtruJR2CLVe7pnUpMmTTRv3rxn7pm0fv16nTp1yqiIsAHKOwAAgOTh4cOHOnHihOLi4uTn56eMGTMaHQk2EhkZqa1btyo8PDzRghneIQMkf1evXtX8+fM1d+5chYeHq2nTpurYsaOuXLmiMWPGKE+ePFq3bp3RMe0ChS1SvRetzPnrnkkNGzZMwlSwtQ4dOmjy5MnKlClTgvHIyEj17NlTc+bMMSgZAGt6+mvOs/asBgAA9iM0NFRvvvmmHj58qMjISGXLlk03btxQ+vTp5ebmxjtkgGRsxYoVmjt3rtauXSs/Pz916tRJbdq0UZYsWSxzjh8/rpIlS/Lu5ngUtkA89kxKXRwdHRUREZFoC4wbN24od+7ciomJMSgZAGuYP3++vvjiC505c0aSVLBgQQ0cOFCBgYEGJ4MtbN26VePGjdPJkydlMplUpEgRDRw4UG+88YbR0QD8S82aNXvpuStWrLBhEiS1atWqqWDBgpo+fbqyZMmiw4cPy8nJSW3atFHv3r3/1f83ANgXV1dXvffee+rUqZPKli37zDmPHj3S2LFjORw+Hjv6AvGCg4MTrbaUpKioKC1ZskRt27Y1IBWs7d69ezKbzTKbzbp//77Spk1ruRYbG6tffvklUYkLIHmZMGGChgwZoh49eqhy5coym83auXOnunXrphs3bqhv375GR4QVLVy4UO3bt1ezZs3Uq1cvmc1m7dq1SzVr1lRISIhatWpldEQA/8JftydD6nLo0CF9/fXXcnR0lKOjo548eSIfHx+NHTtW77//PoUtkIxFRET849606dKlo6z9C1bYAvGet+Ly5s2bcnNz49CSFMLBweGFb402mUwKDg7W4MGDkzAVAGvy9vZWcHBwohfa5s2bp2HDhun8+fMGJYMtFClSRF26dElUxE+YMEGzZs3SyZMnDUoGAPg3cubMqZ07d6pgwYIqVKiQpkyZorp16+q3335TqVKl9PDhQ6MjAviP6Fv+PVbYAvHMZvMzi7zff/+dV/pTkM2bN8tsNqtGjRpavny5smXLZrnm7OwsT09Pubu7G5gQwKuKiIhQpUqVEo1XqlRJERERBiSCLZ07d05vvfVWovFGjRrp008/NSARAOC/KFmypPbv36+CBQuqevXqGjp0qG7cuKEFCxYoICDA6HgAXsHz1oo+efJEzs7OSZwmeaCwRapXsmRJmUwmmUwm1axZU2nS/P9/FrGxsTp//rzq1atnYEJYU9WqVSVJ58+fl4eHxwsPnQOQPPn6+uq7775LVNYtXbpUBQoUMCgVbMXDw0MbN26Ur69vgvGNGzfKw8PDoFQArGXZsmX67rvvFB4enuggmoMHDxqUCrYwevRo3b9/X5I0YsQIvf/++/rggw/k6+uruXPnGpwOwH8xZcoUSX++k/Wbb75RxowZLddiY2O1bds2FS5c2Kh4do3CFqlekyZNJP25Z1LdunUTfANxdnaWl5eX3n77bYPSwVY8PT0lSQ8fPnzmE4BixYoZEQuAFQQHB6tFixbatm2bKleuLJPJpB07dmjjxo367rvvjI4HK+vfv7969eqlQ4cOqVKlSpb7HRISosmTJxsdD8ArmDJligYPHqz3339fP/74o9q3b6+wsDDt27dPH374odHxYGVlypSxfJ4zZ0798ssvBqYBYA0TJ06U9OcK2xkzZsjR0dFy7WnfMmPGDKPi2TX2sAXizZs3Ty1atEhwCBVSruvXr6t9+/b69ddfn3mdPXSA5O3AgQOaOHGiTp48KbPZLD8/P/Xv318lS5Y0OhpsYOXKlRo/frxlv9oiRYpo4MCBaty4scHJALyKwoULKygoSC1btlSmTJl0+PBh+fj4aOjQobp165amTZtmdEQAwEuoXr26VqxYoaxZsxodJdmgsAWQKrVu3VoXLlzQpEmTVL16da1cuVJ//PGHRo4cqfHjx6tBgwZGRwQAAEjV0qdPr5MnT8rT01Nubm5av369ihcvrjNnzqhChQq6efOm0RHxip5uT/cy2AIDQGrClghAvNjYWE2cOPG5e2TdunXLoGSwhU2bNunHH39U2bJl5eDgIE9PT9WuXVuZM2fWZ599RmELJGMHDx6Uk5OT5YCSH3/8UXPnzpWfn5+GDRvGwQYpzKVLl2QymfTaa69Jkvbu3atFixbJz89PXbp0MTgdgFeRO3du3bx5U56envL09NSePXtUvHhxnT9//rkH2CB5ebo9HYCUp1+/fhoxYoQyZMigfv36vXDuhAkTkihV8kFhC8QLDg7WN998o379+mnIkCEaPHiwLly4oB9++EFDhw41Oh6sLDIyUm5ubpKkbNmy6fr16ypYsKACAgJ49R5I5rp27apPPvlEAQEBOnfunFq0aKFmzZrp+++/18OHDzVp0iSjI8KKWrVqpS5duigwMFBXr15VrVq15O/vr4ULF+rq1av8DAeSsRo1amj16tUqVaqUOnbsqL59+2rZsmXav3+/mjVrZnQ8WEFQUJDREQDYSGhoqKKjoy2fP8/LrrJPbdgSAYiXP39+TZkyRQ0aNFCmTJl06NAhy9iePXu0aNEioyPCisqWLauRI0eqbt26atKkiWVl7ZQpU7Rs2TKFhYUZHRHAf+Tq6qqDBw8qf/78+vzzz7Vp0yatXbtWO3fu1HvvvadLly4ZHRFWlDVrVu3Zs0eFChXSlClTtHTpUu3cuVPr1q1Tt27ddO7cOaMjAviP4uLiFBcXpzRp/lxn9N1332nHjh3y9fVVt27deMcEACDFYoUtEO/q1auWt89mzJhRd+/elSQ1bNhQQ4YMMTIabKBPnz6KiIiQ9Ocr+3Xr1tW3334rZ2dnhYSEGBsOwCsxm82Ki4uTJG3YsEENGzaUJHl4eOjGjRtGRoMNREdHy8XFRdKf97tRo0aS/jys6On3eQDJk4ODgxwcHCyPmzdvrubNmxuYCLbk4ODwwpV2HAoMIDWhsAXivfbaa4qIiFC+fPnk6+urdevWqVSpUtq3b5/liSBSjtatW1s+L1mypC5cuKDffvtN+fLlU44cOQxMBuBVlSlTRiNHjlStWrW0detWTZ8+XZJ0/vx55cqVy+B0sLaiRYtqxowZatCggdavX68RI0ZIkq5cuaLs2bMbnA7Aq/Dy8lKHDh3Url075cuXz+g4sLGVK1cmeBwdHa3Q0FDNmzdPwcHBBqUC8F/9m61rVqxYYcMkyROFLRCvadOm2rhxo8qXL6/evXurZcuWmj17tsLDw9W3b1+j48GGzGaz0qVLp1KlShkdBYAVTJo0Sa1bt9YPP/ygwYMHy9fXV5K0bNkyVapUyeB0sLbPP/9cTZs21RdffKH3339fxYsXlyStWrVK5cqVMzgdgFfRv39/hYSEaPjw4apevbo6duyopk2bspgihWrcuHGisXfeeUdFixbV0qVL1bFjRwNSAfivXF1djY6QrLGHLfAce/bs0a5du+Tr62t5eyVSltmzZ2vixIk6c+aMJKlAgQLq06ePOnXqZHAyAP9VbGysduzYoYCAAGXLli3BtcePH8vR0VFOTk4GpYO1mc1mhYeHK2vWrIqNjVXWrFkt1y5cuKD06dNbDpgEkHwdPnxYc+bM0eLFixUTE6NWrVqpQ4cOvNieSoSFhalYsWKKjIw0OgoAJBkKWwCp0pAhQzRx4kT17NlTFStWlCTt3r1b06ZNU+/evTVy5EiDEwL4r9KmTauTJ0/K29vb6Ciwsbi4OKVNm1bHjx9XgQIFjI4DwMaio6P11Vdf6eOPP1Z0dLT8/f3Vu3dvtW/fnlPGU6hHjx5p0KBB+vXXX3Xq1Cmj4wBAkmFLBOAvTp06palTp+rkyZMymUwqXLiwevbsqUKFChkdDVY2ffp0zZo1Sy1btrSMNWrUSMWKFVPPnj0pbIFkLCAgQOfOnaOwTQUcHBxUoEAB3bx5k8IWSMGio6O1cuVKzZ07V+vXr1eFChXUsWNHXblyRYMHD9aGDRu0aNEio2PiFWXNmjVB8W42m3X//n2lT59eCxcuNDAZgP+iVKlS2rhxo7JmzaqSJUu+8IW1gwcPJmGy5IHCFoi3bNkytWzZUmXKlLGsuNyzZ4/8/f21aNEivfvuuwYnhDXFxsaqTJkyicZLly6tmJgYAxIBsJZRo0ZpwIABGjFihEqXLq0MGTIkuJ45c2aDksEWxo4dq4EDB2r69Ony9/c3Og4AKzp48KDmzp2rxYsXy9HRUYGBgZo4caIKFy5smVOnTh1VqVLFwJSwlkmTJiV47ODgoJw5c6p8+fIJtrwBkDw0btzYsud448aNeSfEv8SWCEA8Hx8ftWnTRsOHD08wHhQUpAULFujcuXMGJYMt9OzZU05OTpowYUKC8QEDBujRo0f68ssvDUoG4FU5ODhYPv/7Sh2TyaTY2FgjYsFGsmbNqocPHyomJkbOzs5Kly5dguu3bt0yKBmAV+Xo6KjatWurY8eOatKkyTP3II+MjFSPHj00d+5cAxICAGAbFLZAvPTp0+vIkSOW08SfOnPmjIoXL66HDx8alAzW0q9fP8vnMTExCgkJUb58+VShQgVJf66ovnTpktq2baupU6caFRPAK9q6desLr1etWjWJkiApzJs374XX33///SRKAsDaLl68KE9PT6NjIAk9fvxYR44c0bVr1xQXF5fgGgdBA8mXj4+P9u3bp+zZsycYv3PnjkqVKsUCuWegsAXivfnmm3r33XfVvn37BONz587VkiVLtHbtWoOSwVqqV6/+UvNMJpM2bdpk4zQAAAB4GQcOHLCcMVGkSBGVKlXK6EiwgTVr1igwMFA3b95MdI13yADJm4ODg65evSo3N7cE43/88Yc8PDwUFRVlUDL7xR62SNVWrVpl+bxRo0b6+OOPdeDAgQQrLr///nsFBwcbFRFWtHnzZqMjAEgi27dv19dff61z587p+++/V968ebVgwQJ5e3vr9ddfNzoerCwsLExz585VWFiYJk+eLDc3N61Zs0YeHh4qWrSo0fEA/EfXrl3Te++9py1btihLliwym826e/euqlevriVLlihnzpxGR4QV9ejRQ82bN9fQoUOVK1cuo+MAsIK/di5r166Vq6ur5XFsbKw2btzIQcHPwQpbpGp/3efwRXhFFwCSj+XLlyswMFCtW7fWggULdOLECfn4+Oirr77STz/9pF9++cXoiLCirVu3qn79+qpcubK2bdumkydPysfHR2PHjtXevXu1bNkyoyMC+I9atGihsLAwLViwQEWKFJEknThxQu+//758fX21ePFigxPCmjJnzqzQ0FDlz5/f6CgArORp52IymfT3+tHJyUleXl4aP368GjZsaEQ8u0ZhCwAAUpSSJUuqb9++atu2rTJlyqTDhw/Lx8dHhw4dUr169XT16lWjI8KKKlasqHfffVf9+vVLcL/37dunJk2a6PLly0ZHBPAfubq6asOGDSpbtmyC8b1796pOnTq6c+eOMcFgEx06dFDlypXVsWNHo6MAsDJvb2/t27dPOXLkMDpKssGWCAAAIEU5deqUqlSpkmg8c+bMPLlPgY4ePapFixYlGs+ZM+cz90EEkHzExcXJyckp0biTk1OiA6mQ/E2bNk3vvvuutm/froCAgET3vlevXgYlA/Cqzp8/b3SEZIfCFgAApCh58uTR2bNn5eXllWB8x44d8vHxMSYUbCZLliyKiIhItP9ZaGio8ubNa1AqANZQo0YN9e7dW4sXL5a7u7sk6fLly+rbt69q1qxpcDpY26JFi7R27VqlS5dOW7ZskclkslwzmUwUtkAyNnz48BdeHzp0aBIlST4obAEAQIrStWtX9e7dW3PmzJHJZNKVK1e0e/duDRgwgF8GU6BWrVrp448/1vfffy+TyaS4uDjt3LlTAwYMUNu2bY2OB+AVTJs2TY0bN5aXl5c8PDxkMpkUHh6ugIAALVy40Oh4sLL/+7//0/Dhw/XJJ5+89FkjAJKHlStXJngcHR2t8+fPK02aNMqfPz+/oz8De9gCAIAUZ/DgwZo4caIeP34sSXJxcdGAAQM0YsQIg5PB2qKjo9WuXTstWbJEZrNZadKkUWxsrFq1aqWQkBA5OjoaHRHAK1q/fr1+++03mc1m+fn5qVatWkZHgg1ky5ZN+/bt49AxIJW4d++e2rVrp6ZNmyowMNDoOHaHwhYAAKRIDx8+1IkTJxQXFyc/Pz9lzJjR6EiwobCwMIWGhiouLk4lS5ZUgQIFjI4E4BXExMQobdq0OnTokPz9/Y2OgyTQt29f5cyZU59++qnRUQAkkWPHjqlhw4a6cOGC0VHsDlsiAH8RFhamuXPnKiwsTJMnT5abm5vWrFkjDw8PFS1a1Oh4AIB/IX369MqVK5dMJhNlbSqQP39+yx7Ff933EEDylCZNGnl6eio2NtboKEgisbGxGjt2rNauXatixYolOnRswoQJBiUDYCt37tzR3bt3jY5hl1hhC8TbunWr6tevr8qVK2vbtm06efKkfHx8NHbsWO3du1fLli0zOiIA4CXExMQoODhYU6ZM0YMHDyRJGTNmVM+ePRUUFPTME8eRvM2ePVsTJ07UmTNnJEkFChRQnz591KlTJ4OTAXgVc+fO1ffff6+FCxcqW7ZsRseBjVWvXv2510wmkzZt2pSEaQBY05QpUxI8NpvNioiI0IIFC1SlShUtXrzYoGT2i8IWiFexYkW9++676tevnzJlyqTDhw/Lx8dH+/btU5MmTXT58mWjIwIAXkK3bt20cuVKDR8+XBUrVpQk7d69W8OGDVPjxo01Y8YMgxPCmoYMGaKJEyeqZ8+eCe73tGnT1Lt3b40cOdLghAD+q5IlS+rs2bOKjo6Wp6enMmTIkOD6wYMHDUoGAPg3vL29Ezx2cHBQzpw5VaNGDQ0aNEiZMmUyKJn9orAF4mXMmFFHjx6Vt7d3gsL2woULKly4sOXgGgCAfXN1ddWSJUtUv379BOO//vqr3nvvPd52lcLkyJFDU6dOVcuWLROML168WD179tSNGzcMSgbgVQUHB7/welBQUBIlAQAgabGHLRAvS5YsioiISPTKT2hoqPLmzWtQKgDAv5U2bVp5eXklGvfy8pKzs3PSB4JNxcbGqkyZMonGS5curZiYGAMSAbAWCtmUr1mzZgoJCVHmzJnVrFmzF85dsWJFEqUCAOM5GB0AsBetWrXSxx9/rKtXr8pkMikuLk47d+7UgAED1LZtW6PjAQBe0ocffqgRI0boyZMnlrEnT55o1KhR6tGjh4HJYAtt2rTR9OnTE43PnDlTrVu3NiARAOBlubq6Wg6KdHV1feEHAKQmbIkAxIuOjla7du20ZMkSmc1mpUmTRrGxsWrVqpVCQkLk6OhodEQAwEto2rSpNm7cKBcXFxUvXlySdPjwYUVFRalmzZoJ5rJaJ/nr2bOn5s+fLw8PD1WoUEGStGfPHl26dElt27ZNcMgcJ4wDAAAgOaCwBf4mLCxMoaGhiouLU8mSJVWgQAGjIwEA/oX27du/9Ny5c+faMAmSwotOFf8rThgHAPv26NEjmc1mpU+fXpJ08eJFrVy5Un5+fqpTp47B6QAgaVHYAgAAAAAAQ9WpU0fNmjVTt27ddOfOHRUqVEjOzs66ceOGJkyYoA8++MDoiACQZNjDFogXGxur2bNnq1WrVqpVq5Zq1KiR4AMAkPyMGTNGd+7cMToGksjixYsVGRlpdAwAVhYVFaVTp05xkGAKd/DgQb3xxhuSpGXLlil37ty6ePGi5s+frylTphicDgCSFoUtEK93797q3bu3YmNj5e/vr+LFiyf4AAAkP6NHj9atW7eMjoEk0rVrV/3xxx9GxwBgJQ8fPlTHjh2VPn16FS1aVOHh4ZKkXr16acyYMQang7U9fPhQmTJlkiStW7dOzZo1k4ODgypUqKCLFy8anA4AklYaowMA9mLJkiX67rvv9OabbxodBQBgJez8lLpwv4GUZdCgQTp8+LC2bNmievXqWcZr1aqloKAgffLJJwamg7X5+vrqhx9+UNOmTbV27Vr17dtXknTt2jVlzpzZ4HQAkLRYYQvEc3Z2lq+vr9ExAAAAAEj64YcfNG3aNL3++usymUyWcT8/P4WFhRmYDLYwdOhQDRgwQF5eXipfvrwqVqwo6c/VtiVLljQ4HQAkLQpbIF7//v01efJkVucAQApy4sQJeXp6Gh0DSeTXX39V3rx5jY4BwEquX78uNze3ROORkZEJClykDO+8847Cw8O1f/9+rVmzxjJes2ZNTZw40cBkAJD0TGbaKUCS1LRpU23evFnZsmVT0aJF5eTklOD6ihUrDEoGAPg3fHx8tG/fPmXPnj3B+J07d1SqVCmdO3fOoGSwhRo1amjFihXKkiVLgvF79+6pSZMm2rRpkzHBALyyqlWr6p133lHPnj2VKVMmHTlyRN7e3urRo4fOnj2boNQDACAlYQ9bIF6WLFnUtGlTo2MAAF7RhQsXFBsbm2j8yZMnunz5sgGJYEtbtmxRVFRUovHHjx9r+/btBiQCYC2fffaZ6tWrpxMnTigmJkaTJ0/W8ePHtXv3bm3dutXoeAAA2AyFLRBv7ty5RkcAALyCVatWWT5fu3atXF1dLY9jY2O1ceNGeXl5GZAMtnDkyBHL5ydOnNDVq1ctj2NjY7VmzRq2RwCSuUqVKmnnzp0aN26c8ufPr3Xr1qlUqVLavXu3AgICjI4HAIDNsCUCAABIERwc/tya32QyJdqP3MnJSV5eXho/frwaNmxoRDxYmYODg2UPy2f9OpsuXTpNnTpVHTp0SOpoAAAAwCuhsEWqVqpUKW3cuFFZs2ZVyZIlX3h4wcGDB5MwGQDgv/L29ta+ffuUI0cOo6PAhi5evCiz2SwfHx/t3btXOXPmtFxzdnaWm5ubHB0dDUwI4L+4d+/eS8/NnDmzDZMAAGActkRAqta4cWO5uLhIkpo0aWJsGACAVZw/fz7R2J07dxIdSoXkzdPTU5IUFxdncBIA1pQlS5YXLqKQ/lxVbzKZnrlfOQAAKQErbAEAQIry+eefy8vLSy1atJAkvfvuu1q+fLny5MmjX375RcWLFzc4Iaxp3rx5ypEjhxo0aCBJ+uijjzRz5kz5+flp8eLFlmIXQPLwbw4Tq1q1qg2TAABgHApbAACQovj4+GjhwoWqVKmS1q9fr+bNm2vp0qX67rvvFB4ernXr1hkdEVZUqFAhTZ8+XTVq1NDu3btVs2ZNTZo0ST/99JPSpEmjFStWGB0RwH8UHh4uDw+PRCtuzWazLl26pHz58hmUDAAA26KwRaqWNWvWf3zL1VO3bt2ycRoAgDWkS5dOp0+floeHh3r37q3Hjx/r66+/1unTp1W+fHndvn3b6IiwovTp0+u3335Tvnz59PHHHysiIkLz58/X8ePHVa1aNV2/ft3oiAD+I0dHR0VERMjNzS3B+M2bN+Xm5saWCACAFIs9bJGqTZo0yegIAAAry5o1qy5duiQPDw+tWbNGI0eOlPTniiye3Kc8GTNm1M2bN5UvXz6tW7dOffv2lSSlTZtWjx49MjgdgFfxdK/av3vw4IHSpk1rQCIAAJIGhS1Stffff9/oCAAAK2vWrJlatWqlAgUK6ObNm6pfv74k6dChQ/L19TU4Haytdu3a6tSpk0qWLKnTp09b9rI9fvy4vLy8jA0H4D/p16+fJMlkMmnIkCFKnz695VpsbKz+97//qUSJEgalAwDA9ihsgb+Ii4vT2bNnde3atUSnTlepUsWgVACAf2PixIny9vZWeHi4xo4dq4wZM0qSIiIi1L17d4PTwdq+/PJLDRkyROHh4Vq+fLmyZ88uSTpw4IBatmxpcDoA/0VoaKikP1fYHj16VM7OzpZrzs7OKl68uAYMGGBUPAAAbI49bIF4e/bsUatWrXTx4kX9/Z+FyWTibbQAkAxER0erS5cuGjJkiHx8fIyOAxuLiYnRqFGj1KFDB3l4eBgdB4CVtW/fXpMnT1bmzJmNjgIAQJJyMDoAYC+6deumMmXK6NixY7p165Zu375t+eDAMQBIHpycnLRy5UqjYyCJpEmTRl988QUvqgIplMlkeuYetpGRkerQoYMBiQAASBqssAXiZciQQYcPH2Z/QwBI5tq3b6+AgADLHohI2Zo0aaImTZqoXbt2RkcBYGWOjo6KiIiQm5tbgvEbN24od+7ciomJMSgZAAC2xR62QLzy5cvr7NmzFLYAkMz5+vpqxIgR2rVrl0qXLq0MGTIkuN6rVy+DksEW6tevr0GDBunYsWPPvN+NGjUyKBmA/+revXsym80ym826f/++0qZNa7kWGxurX375JVGJCwBASsIKWyDeypUr9X//938aOHCgAgIC5OTklOB6sWLFDEoGAPg3vL29n3vNZDLp3LlzSZgGtubg8PwdvtiDHkieHBwcnrkVwlMmk0nBwcEaPHhwEqYCACDpUNgC8Z71hM9kMslsNvOEDwAAAEgiW7duldlsVo0aNbR8+XJly5bNcs3Z2Vmenp5yd3c3MCEAALZFYQvEu3jx4guve3p6JlESAAAAABcvXpSHh8cLV9IDAJASUdgCAIBkr1+/fhoxYoQyZMjwj4eNTZgwIYlSwVamTJmiLl26KG3atJoyZcoL57JnMZD8PXz4UOHh4YqKikowzpZlAICUisIW+IuwsDBNmjRJJ0+elMlkUpEiRdS7d2/lz5/f6GgAgBeoXr26Vq5cqSxZsqhatWrP3fvQZDJp06ZNSZwO1ubt7a39+/cre/bs7FkMpGDXr19X+/bt9euvvz7zOluWAQBSKgpbIN7atWvVqFEjlShRQpUrV5bZbNauXbt0+PBhrV69WrVr1zY6IgDgOY4cOSJ/f3/eNptK3L17V66urkbHAGBjrVu31oULFzRp0iTLC3N//PGHRo4cqfHjx6tBgwZGRwQAwCYobIF4JUuWVN26dTVmzJgE45988onWrVungwcPGpQMAPBPHB0dFRERITc3N/n4+Gjfvn3Knj270bFgI3+93zVq1NCKFSuUJUsWo2MBsLI8efLoxx9/VLly5ZQ5c2bt379fBQsW1KpVqzR27Fjt2LHD6IgAANgEy1CAeCdPnlTHjh0TjXfo0EEnTpwwIBEA4GVlyZJF58+flyRduHBBcXFxBieCLWXMmFE3b96UJG3ZskXR0dEGJwJgC5GRkXJzc5MkZcuWTdevX5ckBQQEsJgCAJCipTE6AGAvcubMqUOHDqlAgQIJxg8dOmT5RREAYJ/efvttVa1aVXny5JHJZFKZMmXk6Oj4zLnsaZr81apVS9WrV1eRIkUkSU2bNpWzs/Mz57JnMZB8FSpUSKdOnZKXl5dKlCihr7/+Wl5eXpoxY4by5MljdDwAAGyGwhaI17lzZ3Xp0kXnzp1TpUqVZDKZtGPHDn3++efq37+/0fEAAC8wc+ZMNWvWTGfPnlWvXr3UuXNnZcqUyehYsJGFCxdq3rx5CgsL09atW1W0aFGlT5/e6FgArKxPnz6KiIiQJAUFBalu3br69ttv5ezsrJCQEGPDAQBgQ+xhC8Qzm82aNGmSxo8frytXrkiS3N3dNXDgQPXq1eu5J44DAOxL+/btNWXKFArbVOLpQUTsYQukfA8fPtRvv/2mfPnyKUeOHEbHAQDAZihsgWe4f/++JPFkHwAAALADT5+2sogCAJAacOgY8AyZMmWirAUAAAAMNnv2bPn7+ytt2rRKmzat/P399c033xgdCwAAm2IPWwAAAACA3RkyZIgmTpyonj17qmLFipKk3bt3q2/fvrpw4YJGjhxpcEIAAGyDLREAAAAAAHYnR44cmjp1qlq2bJlgfPHixerZs6du3LhhUDIAAGyLLREAAACQ7MycOVNXr141OgYAG4qNjVWZMmUSjZcuXVoxMTEGJAIAIGlQ2AKSoqOjVb16dZ0+fdroKAAA4CUsXrxYXl5eKl++vEaPHq3jx48bHQmAlbVp00bTp09PND5z5ky1bt3agEQAACQN9rAFJDk5OenYsWOcOgsAQDKxefNm3b59Wz///LNWrVqlzz//XDly5FDjxo3VqFEjValSRQ4OrE0Akpt+/fpZPjeZTPrmm2+0bt06VahQQZK0Z88eXbp0SW3btjUqIgAANscetkC8/v37y8nJSWPGjDE6CgAA+JeioqK0adMmrVq1SqtXr9bDhw/VoEEDNWrUSPXr11eGDBmMjgjgJVSvXv2l5plMJm3atMnGaQAAMAaFLRCvZ8+emj9/vnx9fVWmTJlET+wmTJhgUDIAAPBv7d+/X6tWrdKPP/6od955R0OGDDE6EgAAAPBSKGyBeC96NZ9X8AEASL6io6Pl5ORkdAwAAADgpVDYAgAAAAAAAICd4CQG4G/Onj2rtWvX6tGjR5IkXtMAAAAAAABAUqGwBeLdvHlTNWvWVMGCBfXmm28qIiJCktSpUyf179/f4HQAAAAAAABIDShsgXh9+/aVk5OTwsPDlT59est4ixYttGbNGgOTAQAAAAAAILWgsAXirVu3Tp9//rlee+21BOMFChTQxYsXDUoFAAD+yfbt29WmTRtVrFhRly9fliQtWLBAO3bsMDgZAAAA8O9R2ALxIiMjE6ysferGjRtycXExIBEAAPgny5cvV926dZUuXTqFhobqyZMnkqT79+9r9OjRBqcDAAAA/j0KWyBelSpVNH/+fMtjk8mkuLg4ffHFF6pevbqByQAAwPOMHDlSM2bM0KxZs+Tk5GQZr1Spkg4ePGhgMgAAAOC/SWN0AMBefPHFF6pWrZr279+vqKgoffTRRzp+/Lhu3bqlnTt3Gh0PAAA8w6lTp1SlSpVE45kzZ9adO3eSPhAAAADwilhhC8Tz8/PTkSNHVK5cOdWuXVuRkZFq1qyZQkNDlT9/fqPjAQCAZ8iTJ4/Onj2baHzHjh3y8fExIBEAAADwalhhC/xF7ty5FRwcbHQMAADwkrp27arevXtrzpw5MplMunLlinbv3q0BAwZo6NChRscDAAAA/jWT2Ww2Gx0CsAdeXl7q0KGD2rdvLw8PD6PjAACAlzR48GBNnDhRjx8/liS5uLhowIABGjFihMHJAAAAgH+PwhaIN3XqVIWEhOjw4cOqXr26OnbsqKZNm8rFxcXoaAAA4B88fPhQJ06cUFxcnPz8/JQxY0ajIwEAAAD/CYUt8DeHDx/WnDlztHjxYsXExKhVq1bq0KGDSpUqZXQ0AAAAAAAApHAUtsBzREdH66uvvtLHH3+s6Oho+fv7q3fv3mrfvr1MJpPR8QAASLWaNWv20nNXrFhhwyQAAACA9XHoGPA30dHRWrlypebOnav169erQoUK6tixo65cuaLBgwdrw4YNWrRokdExAQBItVxdXY2OAAAAANgMK2yBeAcPHtTcuXO1ePFiOTo6KjAwUJ06dVLhwoUtc/bt26cqVaro0aNHBiYFAAAAAABASsUKWyBe2bJlVbt2bU2fPl1NmjSRk5NTojl+fn567733DEgHAAAAAACA1IAVtkC8ixcvytPT0+gYAADgX1q2bJm+++47hYeHKyoqKsG1gwcPGpQKAAAA+G8cjA4A2AvKWgAAkp8pU6aoffv2cnNzU2hoqMqVK6fs2bPr3Llzql+/vtHxAAAAgH+NFbZAvNjYWE2cOPG5K3Ru3bplUDIAAPA8hQsXVlBQkFq2bKlMmTLp8OHD8vHx0dChQ3Xr1i1NmzbN6IgAAADAv8IKWyBecHCwJkyYoObNm+vu3bvq16+fmjVrJgcHBw0bNszoeAAA4BnCw8NVqVIlSVK6dOl0//59SVJgYKAWL15sZDQAAADgP6GwBeJ9++23mjVrlgYMGKA0adKoZcuW+uabbzR06FDt2bPH6HgAAOAZcufOrZs3b0r6c3ujpz+zz58/L95IBgAAgOSIwhaId/XqVQUEBEiSMmbMqLt370qSGjZsqJ9//tnIaAAA4Dlq1Kih1atXS5I6duyovn37qnbt2mrRooWaNm1qcDoAAADg30tjdADAXrz22muKiIhQvnz55Ovrq3Xr1qlUqVLat2+fXFxcjI4HAACeYebMmYqLi5MkdevWTdmyZdOOHTv01ltvqVu3bganAwAAAP49Dh0D4n3yySfKnDmzPv30Uy1btkwtW7aUl5eXwsPD1bdvX40ZM8boiAAAAAAAAEjhKGyB59izZ4927dolX19fNWrUyOg4AADgGby8vNShQwe1a9dO+fLlMzoOAAAA8MoobAEAAJBsTZ06VSEhITp8+LCqV6+ujh07qmnTpmxnBAAAgGSLwhap2qpVq156LqtsAQCwX4cPH9acOXO0ePFixcTEqFWrVurQoYNKlSpldDQAAADgX6GwRarm4ODwUvNMJpNiY2NtnAYAALyq6OhoffXVV/r4448VHR0tf39/9e7dW+3bt5fJZDI6HgAAAPCPKGwBAACQ7EVHR2vlypWaO3eu1q9frwoVKqhjx466cuWKpk2bpurVq2vRokVGxwQAAAD+EYUtAAAAkq2DBw9q7ty5Wrx4sRwdHRUYGKhOnTqpcOHCljn79u1TlSpV9OjRIwOTAgAAAC/n5d4PDqQSGzduVMOGDZU/f375+vqqYcOG2rBhg9GxAADAc5QtW1ZnzpzR9OnT9fvvv2vcuHEJylpJ8vPz03vvvWdQQgAAAODfYYUtEG/atGnq27ev3nnnHVWsWFGStGfPHi1btkwTJkxQjx49DE4IAAD+7uLFi/L09DQ6BgAAAGA1FLZAvLx582rQoEGJitkvv/xSo0aN0pUrVwxKBgAA/smBAwd08uRJmUwmFSlSRKVKlTI6EgAAAPCfUNgC8TJlyqTQ0FD5+vomGD9z5oxKliypBw8eGJQMAAA8z7Vr1/Tee+9py5YtypIli8xms+7evavq1atryZIlypkz5/9r796DrC7v+4G/D8i6YOUmrMKESzAqUW4G46UmKhTUmmqkxZqElAJNGzVZNYTRWHWUBFtDAGPFRC0QsDE0SYmBNmqMI2BMIVagGDXYaERQKeEmS1gMsHt+f2TdXzeAcpNzcF+vmTOz+zzf7znvdYZxefv4+ZY6IgAA7BMzbKHBJZdckgcffHCX9blz5+biiy8uQSIA4J1UV1enpqYmzz33XDZu3JhNmzbl2WefTU1NTa6++upSxwMAgH3mhC00mDBhQiZNmpSzzz67yQzbn/3sZ/niF7+Ytm3bNl7rL4AAUB7atWuXxx57LB/+8IebrD/11FM5//zz88Ybb5QmGAAA7CeFLTR4//vfv1fXFQqF/PrXv36X0wAAe+Poo4/OT3/60wwYMKDJ+rJly3LuueempqamNMEAAGA/KWwBADhsffzjH88bb7yR2bNnp2vXrkmS1157LSNGjEiHDh12O+4IAADKmcIWAIDD1urVq/Pxj388zz77bLp165ZCoZBVq1alb9++mTt3bt73vveVOiIAAOwThS3N2tixY/OVr3wlRx11VMaOHfu2106ZMuUQpQIA9tVPfvKTrFixIsViMSeffHKGDBlS6kgAALBfjih1ACilZcuWZceOHY1fAwCHj507d6aysjL//d//naFDh2bo0KGljgQAAAfMCVsAAA5bxx9/fH7wgx+kf//+pY4CAAAHRYtSB4ByMWbMmGzZsmWX9a1bt2bMmDElSAQAvJObbropN9xwQzZu3FjqKAAAcFA4YQsNWrZsmTVr1qSqqqrJ+vr163Pcccdl586dJUoGAOzJqaeemhdffDE7duxIjx49ctRRRzXZX7p0aYmSAQDA/jHDlmavpqYmxWIxxWIxW7ZsSWVlZeNeXV1dHnrooV1KXACgPFx66aWljgAAAAeVE7Y0ey1atEihUNjjfqFQyPjx43PjjTcewlQAAAAANEcKW5q9hQsXplgsZvDgwZkzZ046duzYuFdRUZEePXqka9euJUwIAAAAQHOhsIUGr7zySrp37/62p20BAAAA4N2ksKVZe+aZZ/b62n79+r2LSQAAAABAYUsz99b82nf6Y1AoFFJXV3eIUgEAAADQXB1R6gBQSi+//HKpIwAAB8H27dvz8ssv5/jjj88RR/gVFwCAw5cTtgAAHLZqa2tTXV2dWbNmJUn+53/+J7169crVV1+drl275ktf+lKJEwIAwL5x/AAa3H///W+7P3LkyEOUBADYWzfccEOWL1+eBQsW5MILL2xcHzJkSG655RaFLQAAhx0nbKFBhw4dmny/Y8eO1NbWpqKiIm3atMnGjRtLlAwA2JMePXrku9/9bs4888wcffTRWb58eXr16pUXX3wxH/rQh1JTU1PqiAAAsE9alDoAlItNmzY1ef32t7/NCy+8kI985COZPXt2qeMBALuxbt26VFVV7bK+devWFAqFEiQCAIADo7CFt3HCCSfk9ttvzzXXXFPqKADAbnz4wx/Oj370o8bv3ypp//mf/zlnnXVWqWIBAMB+M8MW3kHLli3z+uuvlzoGALAb//iP/5gLL7wwzz//fHbu3Jk777wzzz33XBYtWpSFCxeWOh4AAOwzM2yhwbx585p8XywWs2bNmkydOjXdunXLww8/XKJkAMDb+cUvfpFJkyZlyZIlqa+vz4c+9KFcf/316du3b6mjAQDAPlPYQoMWLZpOCCkUCuncuXMGDx6cyZMnp0uXLiVKBgAAAEBzobAFAOCwUlNTs9fXtm3b9l1MAgAAB5/CFgCAw0qLFi0aHy62J8ViMYVCIXV1dYcoFQAAHBweOgYNisVi/u3f/i3z58/Pb37zm9TX1zfZ/8EPflCiZADA/zV//vxSRwAAgHeNwhYaXHPNNbnvvvsyaNCgHHvsse94cgcAKI1zzz238etVq1alW7duu/x7u1gsZvXq1Yc6GgAAHDAjEaBBx44d8+1vfzsXXXRRqaMAAHupZcuWWbNmTaqqqpqsb9iwIVVVVUYiAABw2GlR6gBQLtq1a5devXqVOgYAsA/emlX7h37729+msrKyBIkAAODAGIkADW699daMHz8+M2bMSOvWrUsdBwB4G2PHjk2SFAqF3HzzzWnTpk3jXl1dXX7+859nwIABJUoHAAD7T2ELDS677LLMnj07VVVV6dmzZ1q1atVkf+nSpSVKBgD8oWXLliX5/QnbX/ziF6moqGjcq6ioSP/+/TNu3LhSxQMAgP2msIUGo0aNypIlS/LpT3/aQ8cAoMzNnz8/STJ69Ojceeedadu2bYkTAQDAwaGwhQY/+tGP8uMf/zgf+chHSh0FANhLhUJht/+RdevWramurs6MGTNKkAoAAPafh45Bg27dujmdAwCHmVmzZmXbtm27rG/bti33339/CRIBAMCBUdhCg8mTJ+e6667LypUrSx0FAHgHNTU12bx5c4rFYrZs2ZKamprG16ZNm/LQQw+lqqqq1DEBAGCfFYrFYrHUIaAcdOjQIbW1tdm5c2fatGmzy0PHNm7cWKJkAMAfatGixdvOmy8UChk/fnxuvPHGQ5gKAAAOnBm20ODrX/96qSMAAHtp/vz5KRaLGTx4cObMmZOOHTs27lVUVKRHjx7p2rVrCRMCAMD+ccIWAIDD1iuvvJJu3bqlRQuTvgAAeG9Q2NKsbd26NUcdddS7dj0AcGjU1tZm1apV2b59e5P1fv36lSgRAADsH0cRaNY+8IEP5B/+4R/y+uuv7/GaYrGYn/zkJ/nTP/3T/NM//dMhTAcAvJN169blz/7sz3L00UfnlFNOyamnntrkBQAAhxszbGnWFixYkJtuuinjx4/PgAEDctppp6Vr166prKzMpk2b8vzzz2fRokVp1apVbrjhhvzd3/1dqSMDAP/Htddem02bNmXx4sUZNGhQHnzwwaxduzYTJkzI5MmTSx0PAAD2mZEIkOTVV1/N97///TzxxBNZuXJltm3blk6dOuXUU0/NBRdckIsuushsPAAoQ126dMncuXNz+umnp23btnn66adz4oknZt68eZk4cWKefPLJUkcEAIB9orAFAOCw1bZt2zzzzDPp2bNnevbsmQceeCBnn312Xn755Zxyyimpra0tdUQAANgnjgwCAHDYOumkk/LCCy8kSQYMGJB77703r732Wu6555506dKlxOkAAGDfOWELAMBh64EHHsiOHTsyatSoLFu2LBdccEE2bNiQioqKzJw5M5dffnmpIwIAwD5R2AIA8J5RW1ubFStWpHv37unUqVOp4wAAwD5T2AIA8J7w1q+1hUKhxEkAAGD/mWELAMBhbfr06enTp08qKytTWVmZPn36ZNq0aaWOBQAA++WIUgeAclNbW5tVq1Zl+/btTdb79etXokQAwJ7cfPPNueOOO1JdXZ2zzjorSbJo0aJ84QtfyMqVKzNhwoQSJwQAgH1jJAI0WLduXUaPHp2HH354t/t1dXWHOBEA8E46deqUu+66K5/85CebrM+ePTvV1dVZv359iZIBAMD+MRIBGlx77bXZtGlTFi9enNatW+eRRx7JrFmzcsIJJ2TevHmljgcA7EZdXV1OO+20XdYHDhyYnTt3liARAAAcGCdsoUGXLl0yd+7cnH766Wnbtm2efvrpnHjiiZk3b14mTpyYJ598stQRAYA/UF1dnVatWmXKlClN1seNG5dt27bl7rvvLlEyAADYP2bYQoOtW7emqqoqSdKxY8esW7cuJ554Yvr27ZulS5eWOB0A8JaxY8c2fl0oFDJt2rQ8+uijOfPMM5MkixcvzurVqzNy5MhSRQQAgP2msIUGJ510Ul544YX07NkzAwYMyL333puePXvmnnvuSZcuXUodDwBosGzZsibfDxw4MEny0ksvJUk6d+6czp0757nnnjvk2QAA4EAZiQANHnjggezYsSOjRo3KsmXLcsEFF2TDhg2pqKjIzJkzc/nll5c6IgAAAADvcQpb2IPa2tqsWLEi3bt3T6dOnUodBwAAAIBmQGELu/HWH4tCoVDiJAAAAAA0Jy1KHQDKyfTp09OnT59UVlamsrIyffr0ybRp00odCwAAAIBmwkPHoMHNN9+cO+64I9XV1TnrrLOSJIsWLcoXvvCFrFy5MhMmTChxQgAAAADe64xEgAadOnXKXXfdlU9+8pNN1mfPnp3q6uqsX7++RMkAAAAAaC6MRIAGdXV1Oe2003ZZHzhwYHbu3FmCRAAAAAA0NwpbaPDpT3863/zmN3dZv++++zJixIgSJAIAAACguTHDlmZt7NixjV8XCoVMmzYtjz76aM4888wkyeLFi7N69eqMHDmyVBEBAAAAaEbMsKVZGzRo0F5dVygU8vjjj7/LaQAAAABo7hS2AAAAAABlwgxb2I1XX301r732WqljAAAAANDMKGyhQX19fb785S+nXbt26dGjR7p375727dvnK1/5Surr60sdDwAAAIBmwEPHoMGNN96Y6dOn5/bbb8/ZZ5+dYrGYn/3sZ7n11lvz5ptv5rbbbit1RAAAAADe48ywhQZdu3bNPffck0suuaTJ+ty5c3PVVVcZkQAAAADAu85IBGiwcePG9O7de5f13r17Z+PGjSVIBAAAAEBzo7CFBv3798/UqVN3WZ86dWr69+9fgkQAAAAANDdGIkCDhQsX5mMf+1i6d++es846K4VCIf/5n/+Z1atX56GHHspHP/rRUkcEAAAA4D1OYQv/x+uvv5677747K1asSLFYzMknn5yrrroqXbt2LXU0AAAAAJoBhS0AAAAAQJk4otQBoJy8+eabeeaZZ/Kb3/wm9fX1TfYuueSSEqUCAAAAoLlQ2EKDRx55JCNHjsz69et32SsUCqmrqytBKgAAAACakxalDgDl4vOf/3wuu+yyrFmzJvX19U1eyloAAAAADgUzbKFB27Zts2zZshx//PGljgIAAABAM+WELTQYPnx4FixYUOoYAAAAADRjTthCg9ra2lx22WXp3Llz+vbtm1atWjXZv/rqq0uUDAAAAIDmQmELDaZNm5YrrrgirVu3zjHHHJNCodC4VygU8utf/7qE6QAAAABoDhS20OC4447L1VdfnS996Utp0cK0EAAAAAAOPa0UNNi+fXsuv/xyZS0AAAAAJaOZggZ//dd/ne9+97uljgEAAABAM3ZEqQNAuairq8vEiRPz4x//OP369dvloWNTpkwpUTIAAAAAmgszbKHBoEGD9rhXKBTy+OOPH8I0AAAAADRHClsAAAAAgDJhhi0AAAAAQJlQ2AIAAAAAlAmFLQAAAABAmVDYAgAAAACUCYUtAAAAAECZUNgCAAAAAJQJhS0AAAAAQJlQ2AIAAAAAlAmFLQAAAABAmVDYAgAAAACUCYUtAAAAAECZUNgCAAAAAJQJhS0AAAAAQJlQ2AIAAAAAlAmFLQAAAABAmVDYAgAAAACUCYUtAAAAAECZUNgCAAAAAJQJhS0AAAAAQJlQ2AIAAAAAlAmFLQAAAABAmVDYAgAAAACUCYUtAAAAAECZUNgCAAAAAJQJhS0AAAAAQJlQ2AIAAAAAlAmFLQAAzc4vf/nLdO7cOVVVVVmxYsUu+zNnzkyhUMi//uu/7rK3fPnydOjQIV26dMmLL754KOICANCMKGwBAGh2PvjBD+aRRx7J7373uwwdOjSvvPLKXt33q1/9Kueff34KhUIeffTRfOADH3iXkwIA0NwobAEAaJYGDhyYf//3f8+GDRsyZMiQrF279m2vf/XVVzNkyJDU1tbm4YcfTt++fQ9RUgAAmhOFLQAAzdY555yT73//+3nllVdy/vnnZ9OmTbu9bt26dRk6dGjWrl2buXPn5owzzmiyX19fn9tuuy3nnHNOjjvuuFRUVKR79+658sors2HDhibXrly5MoVCIbfeeusun7NgwYIUCoXMnDmzce2t8QyPPfZYbr311vTo0SNHHnlk+vbtm+985zt79XPu6TPXrl2b9u3b7/Ezd/f6/Oc/33hdz549c95552Xp0qUZPHhw/uiP/igdO3bMyJEjdynA33rPBQsWvG3WQqGQUaNG7dXPBQDwXnREqQMAAEApfexjH8v999+fESNG5KKLLspjjz3WZL+mpiYXXnhhXnzxxcyZMyeDBw/e5T22b9+eSZMm5bLLLsuwYcPSpk2bPPXUU5k+fXqefPLJLFmyJBUVFQeU8/rrr8/WrVtz5ZVXplAo5Fvf+lZGjBiRbdu25W/+5m/26z2vu+66bN68eY/7f//3f58PfvCDTdZOOumkJt+/+uqr+ZM/+ZP8xV/8RYYPH56lS5dmxowZ+a//+q88/fTTOeqoo/YrGwBAc6WwBQCg2RsyZEjat2+fxYsX59JLL83w4cOTJNu2bcvFF1+cpUuXpkuXLjnvvPN2e/+RRx6Z119/Pa1bt25c++xnP5s//uM/zmc+85n88Ic/zF/+5V8eUMb169fnmWeeSbt27ZIkV1xxRfr165cvfvGL+cQnPrHPxeiiRYvyL//yLxk2bFgefPDB3V4zdOjQPf7Mb3nppZdyxx135Nprr21cO+WUUzJ27Nh8/etfz4033rhPuQAAmjsjEQAAaPauueaavPHGGxk9enQee+yx3HzzzUl+f6r1iSeeyJgxY7JmzZpcd911u72/UCg0lrV1dXV54403sn79+sbTuD//+c93uae2tjbr169v8nq7065XXnllY1mbJO3atcsVV1yRzZs3Z/78+fv089bX1+dzn/tc+vTpk8997nP7dO8fatu2ba688soma1dddVXatm272yJ48+bNWb9+fTZu3JhisXhAnw0A8F6ksAUAoFl76KGH8p3vfCfV1dWZMWNGrr/++qxbty7J72fXfvnLX8706dMzZsyY3HfffVm4cOFu3+d73/tezjjjjLRu3TodOnRI586d06tXryTZ7Wzcr33ta+ncuXOT16WXXrrHnH84miBJTj755CS/P+W6L+69994sW7YsU6dOTcuWLffp3j/Uq1evHHnkkU3WjjzyyPTq1Wu3uS699NJ07tw5xxxzTCorK3P66adn7ty5B5QBAOC9xEgEAACarS1btuSKK67I+9///tx2221Jkttvvz3/+7//m1mzZuWzn/1s42nbyZMn5+GHH87f/u3fZvny5U3GH8yZMyeXX355Tj/99Nx5553p1q1bKisrU1dXlwsvvDD19fW7fPZf/dVfZeTIkU3Wli9fnnHjxu02a6FQ2GXtrROqu9vbkw0bNuSmm27Kpz71qZxzzjnv+BCwd7Knzy4Wi7vdmzRpUvr375/6+vqsXLkyEydOzLBhw7Jw4cJ89KMfPaAsAADvBQpbAACareuuuy6rV6/Oo48+2mQG7HnnnZdZs2Y1md/avn373H333fnzP//z3HLLLZk4cWLj3re//e1UVlZm/vz5adOmTeP6ihUr9vjZvXr1ypAhQ5qsHXHEnn89f/7553PJJZc0WfvlL3/Z+F5764Ybbsj27dvzta99ba/veTsvvfRStm/f3uShar/73e/y8ssv54QTTtjl+oEDBzb559q7d++ce+65mTdvnsIWACBGIgAA0Ew98cQTuffeezN69OgMHTp0r+4ZNmxYhg8fnilTpmTJkiWN6y1btkyhUGhykrZYLGbChAkHLe83v/nNJjNuN2/enHvuuSft27fPoEGD9uo9lixZkunTp+eWW25J165dD0qumpqafOMb32iy9o1vfCM1NTUZNmzYO97/1inhAx3NAADwXuGELQAAzc6bb76Zz3zmMzn22GMzefLkfbp36tSpefzxxzNmzJg8/fTTadWqVYYPH545c+Zk8ODBGTlyZHbs2JEf/vCHqa2tPWiZO3XqlDPOOCNjxoxJsVjMt771raxatSrTpk1rcjr47fzHf/xHevfunWuuueag5Tr++OMzfvz4PPvssxk4cGCWLFmSGTNmpHfv3rn22mt3uf6pp57Km2++2TgSYdKkSWnZsmWGDx9+0DIBABzOFLYAADQ7t9xyS371q19lzpw56dChwz7de+yxx2bKlCkZNWpUvvrVr+amm27KJz7xiWzZsiV33HFHxo0blw4dOuTiiy/O7bffnmOOOeagZP7qV7+an/70p5k6dWrWrl2bE044IQ888EA+9alP7dP73HXXXWnVqtVByZQk73vf+/K9730v48aNy+zZs1NRUZERI0Zk0qRJuy2Sr7/++iS/n31bVVWVU089NTNnzsxpp5120DIBABzOCsW3/h8kAACg7MycOTOjR4/O/Pnzm8x+LQc9e/ZMz549D/jBZQAA/H9m2AIAAAAAlAmFLQAAAABAmVDYAgAAAACUCTNsAQAAAADKhBO2AAAAAABlQmELAAAAAFAmFLYAAAAAAGVCYQsAAAAAUCYUtgAAAAAAZUJhCwAAAABQJhS2AAAAAABlQmELAAAAAFAmFLYAAAAAAGVCYQsAAAAAUCYUtgAAAAAAZUJhCwAAAABQJhS2AAAAAABlQmELAAAAAFAmFLYAAAAAAGVCYQsAAAAAUCYUtgAAAAAAZUJhCwAAAABQJhS2AAAAAABlQmELAAAAAFAmFLYAAAAAAGVCYQsAAAAAUCYUtgAAAAAAZUJh0HV3kgAAAEBJREFUCwAAAABQJhS2AAAAAABlQmELAAAAAFAmFLYAAAAAAGVCYQsAAAAAUCYUtgAAAAAAZUJhCwAAAABQJv4f7He6kaftlf0AAAAASUVORK5CYII=",
|
||
"text/plain": [
|
||
"<Figure size 1600x1000 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Среднее отношение текущей популярности к историческому пику: 37.14%\n",
|
||
"Среднее отношение текущей популярности к пику за 24 часа: 87.06%\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"# Группируем данные по жанрам и анализируем средние показатели:\n",
|
||
"genre_stats = df.groupby('Genre').agg({\n",
|
||
" 'Current': 'mean',\n",
|
||
" '24h Peak': 'mean',\n",
|
||
" 'All-Time Peak': 'mean'\n",
|
||
"}).sort_values(by='Current', ascending=False)\n",
|
||
"\n",
|
||
"# Визуализация\n",
|
||
"plt.figure(figsize=(16, 10))\n",
|
||
"sns.barplot(x=genre_stats.head(10).index, y=genre_stats.head(10)['Current'], color='gray')\n",
|
||
"plt.title('Топ-10 жанров по текущей популярности \\n ', fontsize = 15)\n",
|
||
"plt.xlabel('\\n Жанр игры \\n', fontsize=13)\n",
|
||
"plt.ylabel('\\n Количество пользователей на текущий момент \\n', fontsize=13)\n",
|
||
"plt.xticks(rotation=90)\n",
|
||
"plt.show()\n",
|
||
"\n",
|
||
"df['Current/All-Time Ratio'] = df['Current'] / df['All-Time Peak']\n",
|
||
"df['Current/24h Peak Ratio'] = df['Current'] / df['24h Peak']\n",
|
||
"\n",
|
||
"# Средние значения\n",
|
||
"mean_all_time_ratio = df['Current/All-Time Ratio'].mean()\n",
|
||
"mean_24h_ratio = df['Current/24h Peak Ratio'].mean()\n",
|
||
"print(f\"Среднее отношение текущей популярности к историческому пику: {mean_all_time_ratio:.2%}\")\n",
|
||
"print(f\"Среднее отношение текущей популярности к пику за 24 часа: {mean_24h_ratio:.2%}\")"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "a4039d35-1408-44ce-a607-add957d22449",
|
||
"metadata": {},
|
||
"source": [
|
||
"\n",
|
||
"Прогнозирование текущей популярности:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"id": "b9a929e1-0897-4ff8-90a7-6028a029639a",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Построение модели линейной регрессии для предсказания текущей популярности на основе пиковых значений\n",
|
||
"X = df[['24h Peak', 'All-Time Peak']]\n",
|
||
"y = df['Current']\n",
|
||
"\n",
|
||
"model = LinearRegression()\n",
|
||
"model.fit(X, y)\n",
|
||
"y_pred = model.predict(X)\n",
|
||
"\n",
|
||
"# Оценка точности\n",
|
||
"r_squared = model.score(X, y)\n",
|
||
"print(f\"R² (точность модели): {r_squared:.2%}\")\n",
|
||
"\n",
|
||
"plt.figure(figsize=(10, 6))\n",
|
||
"sns.scatterplot(x=y, y=y_pred)\n",
|
||
"sns.lineplot(x=[y.min(), y.max()], y=[y.min(), y.max()], color='red', linestyle='--')\n",
|
||
"plt.xlabel('Фактическая популярность')\n",
|
||
"plt.ylabel('Прогнозируемая популярность')\n",
|
||
"plt.title('Точность прогноза текущей популярности')\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "269ecea0-99da-4b75-a50a-a08e9e283a92",
|
||
"metadata": {},
|
||
"source": [
|
||
"Проверка на нормальность распределения для числовых переменных\n",
|
||
"\n",
|
||
"Для выполнения этой задачи я решил использовать тест Шапиро-Уилка, а также Q-Q графики и Гистограммы"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 45,
|
||
"id": "e5943c9a-05de-4831-ab28-cfe747a27e9a",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 1200x400 with 2 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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fVbt2bY0cOVJ16tTR7bffrmeeeUbbt28v9FoBACiNNm60HyGVlWFIx49b+pUmhFIAAAD5tGfPHoWGhkqS/vvf/6pp06batGmTvvrqK82bN69QXzs1NVXR0dHq1q2bTXu3bt20adMmh/t07NhRsbGxWrFihQzD0N9//63Fixfr3nvvLdRaAQAoreLjC7ZfSUEoBQAAkE9paWny9vaWJP3vf//T/fffL0lq2LCh4gv56vL06dMym80KDAy0aQ8MDFRCQoLDfTp27KgFCxbo4YcflpeXl6pVq6by5cvrgw8+yPZ1UlJSlJSUZPMAAAA5ExRUsP1KCkIpAACAfGrSpIk+/PBDbdy4UVFRUerRo4ck6cSJE6pUqZJTajCZTDbPDcOwa8u0b98+jRw5Uq+99pqio6O1atUqHTlyREOHDs32+FOmTFFAQID1ERISUqD1AwBQkoWHW1bZy+ZHs0wmKSTE0q80IZQCAADIp7ffflsfffSROnfurEcffVQtWrSQJH3//ffW2/oKS+XKleXu7m43KurkyZN2o6cyTZkyRbfddpv+9a9/qXnz5urevbtmzZqlzz77LNuRXePHj1diYqL1cfz48QJ/LwAAlFTu7tL06ZZ/Xx9MZT6PjLT0K008XF0AAABAcde5c2edPn1aSUlJqlChgrX96aeflp+fX6G+tpeXl9q0aaOoqCj16dPH2h4VFaXevXs73OfSpUvy8LC9DHS/ehVsOFoWSJK3t7f1FkUAAJB7fftKixdbVuHLOul5cLAlkOrb12WluQyhFAAAQAEwDEPR0dE6fPiw+vfvL39/f3l5eRV6KCVJY8aM0YABA9S2bVt16NBBc+bMUUxMjPV2vPHjxysuLk7z58+XJPXq1UtPPfWUZs+ere7duys+Pl6jR49WaGioqlevXuj1AgBQWvXtK/XubVllLz7eModUeHjpGyGViVAKAAAgn44dO6YePXooJiZGKSkp6tq1q/z9/TV16lRduXJFH374YaG+/sMPP6wzZ87o9ddfV3x8vJo2baoVK1aoVq1akqT4+HjFxMRY+z/++ONKTk7WjBkz9MILL6h8+fK688479fbbbxdqnQAAwBJAde7s6iqKBkIpAACAfBo1apTatm2r3377zWZi8z59+mjIkCFOqWHYsGEaNmyYw23z5s2za3vuuef03HPPFXJVAAAA2XPpROezZ89W8+bNVa5cOZUrV04dOnTQypUrrdsNw1BERISqV68uX19fde7cWXv37nVhxQAAAPZ+/vlnvfLKK/Ly8rJpr1WrluLi4lxUFQAAQNHm0lAqODhY//73v7V9+3Zt375dd955p3r37m0NnqZOnapp06ZpxowZ2rZtm6pVq6auXbsqOTnZlWUDAADYyMjIkNlstmuPjY2Vv7+/CyoCAAAo+lwaSvXq1Uv33HOPGjRooAYNGuitt95S2bJl9euvv8owDEVGRmrChAnq27evmjZtqs8//1yXLl3SV1995cqyAQAAbHTt2lWRkZHW5yaTSRcuXNDEiRN1zz33uK4wAACAIsyloVRWZrNZX3/9tS5evKgOHTroyJEjSkhIULdu3ax9vL291alTJ23atCnb46SkpCgpKcnmAQAAUJjef/99bdiwQY0bN9aVK1fUv39/1a5dW3FxcUweDgAAkA2XT3T++++/q0OHDrpy5YrKli2rpUuXqnHjxtbgKTAw0KZ/YGCgjh07lu3xpkyZokmTJhVqzQAAAFlVr15du3bt0sKFC7Vjxw5lZGRo8ODBeuyxx+Tr6+vq8gAAAIokl4dSt956q3bt2qXz58/r22+/1aBBg7RhwwbrdpPJZNPfMAy7tqzGjx+vMWPGWJ8nJSUpJCSk4AsHAADIwtfXV08++aSefPJJV5cCAABQLLg8lPLy8lK9evUkSW3bttW2bds0ffp0vfTSS5KkhIQEBQUFWfufPHnSbvRUVt7e3vL29i7cogEAALKYP3/+DbcPHDjQSZUAAAAUHy4Ppa5nGIZSUlJUp04dVatWTVFRUWrVqpUkKTU1VRs2bGBuBgAAUKSMGjXK5nlaWpouXbokLy8v+fn5EUoBAAA44NJQ6uWXX1bPnj0VEhKi5ORkff3111q/fr1WrVolk8mk0aNHa/Lkyapfv77q16+vyZMny8/PT/3793dl2QAAADbOnTtn13bo0CE9++yz+te//uWCigAAAIo+l4ZSf//9twYMGKD4+HgFBASoefPmWrVqlbp27SpJGjt2rC5fvqxhw4bp3LlzCgsL05o1a+Tv7+/KsgEAAG6qfv36+ve//61//vOfOnDggKvLAQAAKHJcGkp9+umnN9xuMpkUERGhiIgI5xQEAABQgNzd3XXixAlXlwEAAPLJbJY2bpTi46WgICk8XHJ3d3VVxV+Rm1MKAACguPn+++9tnhuGofj4eM2YMUO33Xabi6oCAAAFYckSadQoKTb2WltwsDR9utS3r+vqKgkIpQAAAPLpgQcesHluMplUpUoV3XnnnXrvvfdcUxQAAMi3JUukhx6SDMO2PS7O0r54McFUfhBKAQAA5FNGRoarSwAAAAXMbLaMkLo+kJIsbSaTNHq01Ls3t/LllZurCwAAAAAAAChqNm60vWXveoYhHT9u6Ye8YaQUAABAHowZMybHfadNm1aIlQAAgMIQH1+w/WCPUAoAACAPdu7cmaN+JpOpkCsBAACFISioYPvBHqEUAABAHqxbt87VJQAAgEIUHm5ZZS8uzvG8UiaTZXt4uPNrKymYUwoAAAAAAOA67u7S9OmWf18/8DnzeWQkk5znByOlAAAACsC2bdv0zTffKCYmRqmpqTbblixZ4qKqAABAfvTtKy1ebFmFL+uk58HBlkCqb1+XlVYiMFIKAAAgn77++mvddttt2rdvn5YuXaq0tDTt27dPa9euVUBAgKvLAwAA+dC3r3T0qLRunfTVV5aPR44QSBUERkoBAADk0+TJk/X+++9r+PDh8vf31/Tp01WnTh0988wzCmL2UwAAij13d6lzZ1dXUfIwUgoAACCfDh8+rHvvvVeS5O3trYsXL8pkMun555/XnDlzXFwdAABA0ZSnUOqWW27RmTNn7NrPnz+vW265Jd9FAQAAFCcVK1ZUcnKyJKlGjRras2ePJMu10aVLl1xZGgAAQJGVp9v3jh49KrPZbNeekpKiuLi4fBcFAABQnISHhysqKkrNmjVTv379NGrUKK1du1ZRUVG66667XF0eAABAkZSrUOr777+3/nv16tU2E3eazWb9+OOPql27doEVBwAAUJTt2rVLLVu21IwZM3TlyhVJ0vjx4+Xp6amff/5Zffv21auvvuriKgEAAIqmXIVSDzzwgCTJZDJp0KBBNts8PT1Vu3ZtvffeewVWHAAAQFHWunVrtWrVSkOGDFH//v0lSW5ubho7dqzGjh3r4uoAAACKtlzNKZWRkaGMjAzVrFlTJ0+etD7PyMhQSkqKDh48qPvuu6+wagUAAChSfvnlF7Vu3Vrjxo1TUFCQ/vnPf2rdunUuqWXWrFmqU6eOfHx81KZNG23cuPGG/VNSUjRhwgTVqlVL3t7eqlu3rj777DMnVQsAAJDHic6PHDmiypUrF3QtAAAAxUqHDh308ccfKyEhQbNnz1ZsbKzuvvtu1a1bV2+99ZZiY2OdUseiRYs0evRoTZgwQTt37lR4eLh69uypmJiYbPfp16+ffvzxR3366ac6ePCgFi5cqIYNGzqlXgAAACmPE51L0o8//qgff/zROmIqK/7KBgAAShNfX18NGjRIgwYN0uHDhzV37lx99NFHioiIUNeuXbVixYpCff1p06Zp8ODBGjJkiCQpMjJSq1ev1uzZszVlyhS7/qtWrdKGDRv0119/qWLFipLEvKAAAMDp8jRSatKkSerWrZt+/PFHnT59WufOnbN5AAAAlFZ169bVuHHjNGHCBJUrV06rV68u1NdLTU1VdHS0unXrZtPerVs3bdq0yeE+33//vdq2baupU6eqRo0aatCggV588UVdvny5UGsFAADIKk8jpT788EPNmzdPAwYMKOh6AAAAiq0NGzbos88+07fffit3d3f169dPgwcPLtTXPH36tMxmswIDA23aAwMDlZCQ4HCfv/76Sz///LN8fHy0dOlSnT59WsOGDdPZs2ezHfGekpKilJQU6/OkpKSCexMAAKBUylMolZqaqo4dOxZ0LQAAAMXO8ePHNW/ePM2bN09HjhxRx44d9cEHH6hfv34qU6aM0+owmUw2zw3DsGvLlJGRIZPJpAULFiggIECS5RbAhx56SDNnzpSvr6/dPlOmTNGkSZMKvnAAAFBq5en2vSFDhuirr74q6FoAAACKla5du6pOnTqaNWuWHnroIe3fv18///yznnjiCacFUpUrV5a7u7vdqKiTJ0/ajZ7KFBQUpBo1algDKUlq1KiRDMPIdnL28ePHKzEx0fo4fvx4wb0JAABQKuVppNSVK1c0Z84c/e9//1Pz5s3l6elps33atGkFUhwAAEBR5uvrq2+//Vb33Xef3N3dXVKDl5eX2rRpo6ioKPXp08faHhUVpd69ezvc57bbbtM333yjCxcuqGzZspKkP/74Q25ubgoODna4j7e3t7y9vQv+DQAAgFIrT6HU7t271bJlS0nSnj17bLZlN0wcAACgpPn+++9dXYIkacyYMRowYIDatm2rDh06aM6cOYqJidHQoUMlWUY5xcXFaf78+ZKk/v3764033tATTzyhSZMm6fTp0/rXv/6lJ5980uGtewAAAIUhT6HUunXrCroOAAAA5NHDDz+sM2fO6PXXX1d8fLyaNm2qFStWqFatWpKk+Ph4xcTEWPuXLVtWUVFReu6559S2bVtVqlRJ/fr105tvvumqtwAAAEqhPIVSAAAAKFqGDRumYcOGOdw2b948u7aGDRsqKiqqkKsCAADIXp5CqS5dutzwNr21a9fmuSAAAAAAAACUfHkKpTLnk8qUlpamXbt2ac+ePRo0aFBB1AUAAAAAAIASLE+h1Pvvv++wPSIiQhcuXMhXQQAAAMVBbiY5v//++wuxEgAAgOKpQOeU+uc//6nQ0FC9++67BXlYAACAIueBBx6weW4ymWQYhs3zTGaz2VllAQAAFBtuBXmwzZs3y8fHpyAPCQAAUCRlZGRYH2vWrFHLli21cuVKnT9/XomJiVqxYoVat26tVatWubpUAACAIilPI6X69u1r89wwDMXHx2v79u169dVXC6QwAACA4mL06NH68MMPdfvtt1vbunfvLj8/Pz399NPav3+/C6sDAAAomvIUSgUEBNg8d3Nz06233qrXX39d3bp1K5DCAAAAiovDhw/bXR9Jlmumo0ePOr8gAACAYiBPodTcuXMLug4AAIBiq127dho9erS+/PJLBQUFSZISEhL0wgsvKDQ01MXVAQAAFE35mug8Ojpa+/fvl8lkUuPGjdWqVauCqgsAAKDY+Oyzz9SnTx/VqlVLNWvWlCTFxMSoQYMGWrZsmWuLAwAAKKLyFEqdPHlSjzzyiNavX6/y5cvLMAwlJiaqS5cu+vrrr1WlSpWCrhMAAKDIqlevnnbv3q2oqCgdOHBAhmGocePGuvvuu21W4QMAAMA1eQqlnnvuOSUlJWnv3r1q1KiRJGnfvn0aNGiQRo4cqYULFxZokQAAAEWdyWRSt27ddMcdd8jb25swCgAA4Cbc8rLTqlWrNHv2bGsgJUmNGzfWzJkztXLlygIrDgAAoDjIyMjQG2+8oRo1aqhs2bI6cuSIJOnVV1/Vp59+6uLqAAAAiqY8hVIZGRny9PS0a/f09FRGRka+iwIAAChO3nzzTc2bN09Tp06Vl5eXtb1Zs2b65JNPXFgZAABA0ZWnUOrOO+/UqFGjdOLECWtbXFycnn/+ed11110FVhwAAEBxMH/+fM2ZM0ePPfaY3N3dre3NmzfXgQMHXFgZAABA0ZWnUGrGjBlKTk5W7dq1VbduXdWrV0916tRRcnKyPvjgg4KuEQAAoEiLi4tTvXr17NozMjKUlpbmgooAAACKvjxNdB4SEqIdO3Y4XGEGAACgtGnSpIk2btyoWrVq2bR/8803atWqlYuqAgAAKNpyFUqtXbtWI0aM0K+//qpy5cqpa9eu6tq1qyQpMTFRTZo00Ycffqjw8PBCKRYAAKAomjhxogYMGKC4uDhlZGRoyZIlOnjwoObPn6/ly5e7ujwAAIAiKVe370VGRuqpp55SuXLl7LYFBATomWee0bRp0wqsOAAAgOKgV69eWrRokVasWCGTyaTXXntN+/fv1w8//GD9Ax4AAABs5SqU+u2339SjR49st3fr1k3R0dH5LgoAAKC4SE9P16RJk9S4cWNt2LBBFy5c0KVLl/Tzzz+rW7duri4PAACgyMpVKPX333/L09Mz2+0eHh46depUvosCAAAoLjw8PPTOO+/IbDa7uhQAAIBiJVehVI0aNfT7779nu3337t0KCgrKd1EAAADFyd13363169e7ugwAAIBiJVcTnd9zzz167bXX1LNnT/n4+Nhsu3z5siZOnKj77ruvQAsEAAAo6nr27Knx48drz549atOmjcqUKWOz/f7773dRZQAAAEVXrkKpV155RUuWLFGDBg00YsQI3XrrrTKZTNq/f79mzpwps9msCRMmFFatAAAARdKzzz4rSQ4XfDGZTNzaBwBAEWE2Sxs3SvHxUlCQFB4uubu7uqrSK1ehVGBgoDZt2qRnn31W48ePl2EYkiwXW927d9esWbMUGBhYKIUCAAAUVRkZGa4uAQAA3MSSJdKoUVJs7LW24GBp+nSpb1/X1VWa5SqUkqRatWppxYoVOnfunP78808ZhqH69eurQoUKhVEfAABAsXLlyhW7aQ4AAIBrLVkiPfSQdHVsjVVcnKV98WKCKVfI1UTnWVWoUEHt2rVTaGhongOpKVOmqF27dvL391fVqlX1wAMP6ODBgzZ9DMNQRESEqlevLl9fX3Xu3Fl79+7Na9kAAAAFzmw264033lCNGjVUtmxZ/fXXX5KkV199VZ9++qmLqwMAoHQzmy0jpK4PpKRrbaNHW/rBufIcShWEDRs2aPjw4fr1118VFRWl9PR0devWTRcvXrT2mTp1qqZNm6YZM2Zo27Ztqlatmrp27ark5GQXVg4AAHDNW2+9pXnz5mnq1Kny8vKytjdr1kyffPKJCysDAAAbN9resnc9w5COH7f0g3O5NJRatWqVHn/8cTVp0kQtWrTQ3LlzFRMTo+joaEmWUVKRkZGaMGGC+vbtq6ZNm+rzzz/XpUuX9NVXX7mydAAAAKv58+drzpw5euyxx+SeZbbU5s2b68CBAy6sDAAAxMcXbD8UHJeGUtdLTEyUJFWsWFGSdOTIESUkJKhbt27WPt7e3urUqZM2bdrkkhoBAACuFxcXp3r16tm1Z2RkKC0tzSk1zJo1S3Xq1JGPj4/atGmjjTn8c+8vv/wiDw8PtWzZsnALBADARYKCCrYfCk6RCaUMw9CYMWN0++23q2nTppKkhIQESbJb0S8wMNC67XopKSlKSkqyeQAAABSmJk2aOAyBvvnmG7Vq1arQX3/RokUaPXq0JkyYoJ07dyo8PFw9e/ZUTEzMDfdLTEzUwIEDdddddxV6jQAAuEp4uGWVPZPJ8XaTSQoJsfSDc+V69b3CMmLECO3evVs///yz3TbTdV85hmHYtWWaMmWKJk2aVCg15sWOHTv0yJPPOtxWpby/Ppg21ckVAQCAgjZx4kQNGDBAcXFxysjI0JIlS3Tw4EHNnz9fy5cvL/TXnzZtmgYPHqwhQ4ZIkiIjI7V69WrNnj1bU6ZMyXa/Z555Rv3795e7u7uWLVtW6HUCAOAK7u7S9OmWVfZMJtsJzzOjhchISz84V5EYKfXcc8/p+++/17p16xQcHGxtr1atmiTZjYo6efKk3eipTOPHj1diYqL1cfz48cIrPAdSM6SwR593+Dh1nsnaAQAoCXr16qVFixZpxYoVMplMeu2117R//3798MMP6tq1a6G+dmpqqqKjo22mO5Ckbt263XC6g7lz5+rw4cOaOHFijl6H0egAgOKsb19p8WKpRg3b9uBgS3vfvq6pq7Rz6UgpwzD03HPPaenSpVq/fr3q1Kljs71OnTqqVq2aoqKirEPfU1NTtWHDBr399tsOj+nt7S1vb+9Crx0AACCr7t27q3v37k5/3dOnT8tsNudquoNDhw5p3Lhx2rhxozw8cnY5WNRGowMAkFt9+0q9e1tW2YuPt8whFR7OCClXcmkoNXz4cH311Vf67rvv5O/vb71wCggIkK+vr0wmk0aPHq3Jkyerfv36ql+/viZPniw/Pz/179/flaUDAAAUKTmd7sBsNqt///6aNGmSGjRokOPjjx8/XmPGjLE+T0pKUkhISN4LBgDABdzdpc6dXV0FMrk0lJo9e7YkqfN1XxFz587V448/LkkaO3asLl++rGHDhuncuXMKCwvTmjVr5O/v7+RqAQAArqlQoUK2c1xe7+zZs4VWR+XKleXu7p7j6Q6Sk5O1fft27dy5UyNGjJBkWSXQMAx5eHhozZo1uvPOO+32YzQ6AAAoaC6/fe9mTCaTIiIiFBERUfgFAQAA5FBkZKT132fOnNGbb76p7t27q0OHDpKkzZs3a/Xq1Xr11VcLtQ4vLy+1adNGUVFR6tOnj7U9KipKvXv3tutfrlw5/f777zZts2bN0tq1a7V48WK76RQAAAAKS5FZfQ8AAKA4GTRokPXfDz74oF5//XXryCNJGjlypGbMmKH//e9/ev755wu1ljFjxmjAgAFq27atOnTooDlz5igmJkZDhw6VZLn1Li4uTvPnz5ebm5uaNm1qs3/VqlXl4+Nj1w4AAFCYCKUAAADyafXq1Q4XYenevbvGjRtX6K//8MMP68yZM3r99dcVHx+vpk2basWKFapVq5YkKT4+XjExMYVeBwAAQG64uboAAACA4q5SpUpaunSpXfuyZctUqVIlp9QwbNgwHT16VCkpKYqOjtYdd9xh3TZv3jytX78+230jIiK0a9euwi8SAAAgC0ZKAQAA5NOkSZM0ePBgrV+/3jqn1K+//qpVq1bpk08+cXF1AAAARRMjpQAAAPLp8ccf16ZNm1S+fHktWbJE3377rQICAvTLL79YVxQGAAAoEgxDOnJE+vpr6cIFl5bCSCkAAIB8SEtL09NPP61XX31VCxYscHU5AAAAts6elbZtk7ZskbZutTxOnbJs+/FH6c47XVYaoRQAAEA+eHp6aunSpXr11VddXQoAACjtUlKkXbtsA6hDh+z7eXpKLVtK6enOrtAGoRQAAEA+9enTR8uWLdOYMWNcXQoAAKWS2Sxt3CjFx0tBQVJ4uOTu7uqqCllGhiVw2rr1Wgi1a5eUlmbft149KSxMCg21fGzRQvLxcXrJ1yOUAgAAyKd69erpjTfe0KZNm9SmTRuVKVPGZvvIkSNdVBkAACXfkiXSqFFSbOy1tuBgafp0qW9f19VV4P7++9ropy1bLLfknT9v369y5WsBVGio1K6d5KTVgHOLUAoAACCfPvnkE5UvX17R0dGKjo622WYymQilAAAoJEuWSA89ZJm7O6u4OEv74sXFNJi6dEmKjrYdBXXsmH0/Hx+pdWvbUVC1a0smk9NLzgtCKQAAgHw6cuSIq0sAAKDUMZstI6SuD6QkS5vJJI0eLfXuXcRv5TObpX37bEdB7dljac/KZJIaNboWPoWGSs2aWeaHKqYIpQAAAArI6dOnZTKZVKmIDpEHAKA4ym6+qI0bbW/Zu55hSMePW/p17uy0cm/MMCzDuDJHP23ZIm3fLl28aN83KMgSPmUGUG3bSuXKOb/mQkQoBQAAkA/nz5/XhAkTtGjRIp07d06SVKFCBT3yyCN68803Vb58edcWCABAMXaj+aJSUnJ2jPj4wqktR5KSLHM/ZR0F5aigsmUtoVPWUVDBwc6v18kIpQAAAPLo7Nmz6tChg+Li4vTYY4+pUaNGMgxD+/fv17x58/Tjjz9q06ZNqlChgqtLBQCg2LnZfFERETk7TlBQgZfmWFqa9PvvtqOgDhywfwPu7pbb7tq1uzYSqlGjIn6PYeEglAIAAMij119/XV5eXjp8+LACAwPttnXr1k2vv/663n//fRdVCABA8ZST+aI+/tgymCguznE/k8myPTy8EAo0DOnIEdsAaudO6coV+761a19bCS8sTGrVSrpupd7SilAKAAAgj5YtW6aPPvrILpCSpGrVqmnq1KkaOnQooRQAALmUk/miYmOlSZMsI6ZMJttgKnPxucjIAhqAdOaM7S14W7da2q5XvrxtANWuneTgOgEWhFIAAAB5FB8fryZNmmS7vWnTpkpISHBiRQAAlAw5nQeqfn1p8WLH805FRkp9++bhxa9ckXbtsh0FdfiwfT8vL6llS9t5oOrVk9zc8vCipROhFAAAQB5VrlxZR48eVXA2E5EeOXKElfgAAMiDnM4DFRRkWVmvd2/HK/TdVEaG9McftiOgfvvNMj/U9Ro0sA2gWrSQvL1z87ZwHUIpAACAPOrRo4cmTJigqKgoeXl52WxLSUnRq6++qh49erioOgAAiq/w8NzNF+Xubgmnburvv21HQG3bJiUm2verUuVa+BQWZlkZr2LF/LwlOEAoBQAAkEeTJk1S27ZtVb9+fQ0fPlwNGzaUJO3bt0+zZs1SSkqKvvjiCxdXCQBA8ePuLk2fblllL8/zRV28KEVH246Ciomx7+frK7VpYzsKqlatay+EQkMoBQAAkEfBwcHavHmzhg0bpvHjx8u4esVsMpnUtWtXzZgxQyEhIS6uEgCA4qlv31zMF2U2S3v32gZQe/ZYbs/LymSSmjSxDaCaNJE8PZ3xlnAdQikAAIB8qFOnjlauXKlz587p0KFDkqR69eqpIkP8AQDIt759HcwXdbsh9/hYaXGW2/Cioy0jo65Xo4btbXht2kj+/s5/I3CIUAoAAKAAVKhQQaGhoa4uAwCAYsdsvvEk5e4XEtU5fZt0ZKv09Rbp0a2So9Vty5aV2rW7FkKFhlpCKRRZhFIAAAAAAKBQZRc8LVlie3uep1J1d9XfNbn3FrVMvToK6sAB+wO6u0vNm9vehtewYQ6X3ENRQSgFAAAAAAAKzfXBk2SZF+rRRwwtefcv3a6tCtMWhWqrWmuHfE6mSB9fd5DatW1vw2vVSvLzc+bbQCEglAIAAAAAAIViyRLLCnqGIVXUGYVqq0K1VWGxWxT67lZN1Rm7fc6qgrYqVAfKheq5L8Lk3r6dVLWqC6pHYSOUAgAAAAAABevKFZm379RvT27Vl4ZlFFQ9HbbrliIv7VQrbVM7bVGYtihMf6qeJJOUJLUsJ3UmjyqxCKUAAAAAAEDeZWRIBw9eWwlv61bpt9/knp6uSdd1PaBbr46VCtUWhWm3mitV3tkeOj6+cEuHaxFKAQAAAACAnIuPtw2gtm2TkpLsul0pV1VrksKsAdR2tdV5VcjVSwUFFVTRKIoIpQAAAAAAgGMXLkg7dlgCqMwQ6vhx+36+vjJat1FsjTDFBLaTe8cwXaxcS727mvL0siaTZTL08PB81o8ijVAKAACgBJg1a5beeecdxcfHq0mTJoqMjFR4NlfyS5Ys0ezZs7Vr1y6lpKSoSZMmioiIUPfu3Z1cNQCgSElPl/butR0FtXev5fa8rNzcpCZNpHbtLCvhhYVp6R9NNHKMh2J/udrnA6lGDalSJensWctE59kxmWy3m67mWJGRkrt7Qb5BFDWEUgAAAMXcokWLNHr0aM2aNUu33XabPvroI/Xs2VP79u1TzZo17fr/9NNP6tq1qyZPnqzy5ctr7ty56tWrl7Zs2aJWrVq54B0AAJzOMKSYGNsAKjpaunTJvm9wsBQaag2gzC1aa+Muf8XHW26vO31I6vewffB04sS1tuyCpxdflBYulGJjbV8uMlLq27dA3zGKIEIpAACAYm7atGkaPHiwhgwZIkmKjIzU6tWrNXv2bE2ZMsWuf2RkpM3zyZMn67vvvtMPP/xAKAUAJdX589L27ba34f39t30/f/9rI6BCQy2P6tWtm5cskUY1sw2R3N0dj4QyDEv4VLGi5OubffA0ZYq0caOsIVd4OCOkSgtCKQAAgGIsNTVV0dHRGjdunE17t27dtGnTphwdIyMjQ8nJyapYsWK2fVJSUpSSkmJ9nuRgQlsAQBGRmir99psleMocCXXwoH0/Dw+pWTPrCCiFhkoNG1puz3NgyRLpoYfsAyizOftSDEM6c0b63/8sQZOj4MndXercOW9vFcUboRQAAEAxdvr0aZnNZgUGBtq0BwYGKiEhIUfHeO+993Tx4kX169cv2z5TpkzRpEnXL+wNAHA5w5AOH74WPm3ZIu3caQmmrnfLLbYjoFq1sgxhygGzWRo16sZzQ93IyZPSo4/mbV+UXIRSAAAAJYDJZLu6kWEYdm2OLFy4UBEREfruu+9UtWrVbPuNHz9eY8aMsT5PSkpSSEhI3gsGAOTN6dO2I6C2brXMJH69ihWvzQOVGUJVrpzrlzObLbfW/fij7e13uRUUlPd9UXIRSgEAABRjlStXlru7u92oqJMnT9qNnrreokWLNHjwYH3zzTe6++67b9jX29tb3t7e+a4XAJALly9bRj1lDaD++su+n7e3ZdRTlsnIdcst12YTz6MlSyyjo/ITRplMlvmjslkQFqUcoRQAAEAx5uXlpTZt2igqKkp9+vSxtkdFRal3797Z7rdw4UI9+eSTWrhwoe69915nlAoAuJGMDOnAgWvh09at0u7dUnq6fd+GDa+NfgoLk5o3l7y8CrSc7OaPyo3MTCwykonL4RihFAAAQDE3ZswYDRgwQG3btlWHDh00Z84cxcTEaOjQoZIst97FxcVp/vz5kiyB1MCBAzV9+nS1b9/eOsrK19dXAQEBLnsfAFCqxMdfC6C2bJG2bZOSk+37BQbaTkTerp1UyN+r8zp/lLu77aTnWVfYAxwhlAIAACjmHn74YZ05c0avv/664uPj1bRpU61YsUK1atWSJMXHxysmJsba/6OPPlJ6erqGDx+u4cOHW9sHDRqkefPmObt8ACj5LlyQtm+3nQvK0T1xfn5Smza2IVRISL5vw8upvM4flVnewoVSlSqOV9gDHCGUAgAAKAGGDRumYcOGOdx2fdC0fv36wi8IAEqr9HRpzx7beaD27bPcnpeVm5vUtKntbXiNG0servk1PT/zRzEiCnlFKAUAAAAAQF4YhnTsmO0IqOhoywTl1wsOth0B1aaNVLas82t2IK/zR73yinTXXYyIQt4RSgEAAAAAkBPnzlnmfso6GfnJk/b9ypWzzP2UOQIqNNRyP1sRlJf5ozJX1IuIIIxC/hBKAQAAAABwvZQUy+p3WScj/+MP+34eHpbV77KOgrr1VsvtecXAxo15mz+KFfVQEAilAAAAAAClm2FIf/5pG0Dt2iWlptr3rVvXEj61a2f52KqV5OPj9JJzK3MS88xJyDt2lDZtkr79NnfHYf4oFCRCKQAAAABA6XLqlO1E5Fu3Wm7Nu16lSra34LVrJ1Wu7Px688nRJObu7pagKqeYPwqFgVAKAAAAAFByXbok7dxpOwrq6FH7ft7eUuvWtqvh3XLLtfvViqnsJjHPaSDF/FEoTIRSAAAAAICSwWyWDhywHQG1e7fjBKZRI9sAqnlzydPT+TUXorxMYp4V80ehsBFKAQAAAACKpxMnLAFUZgi1fbuUnGzfr1q1a+FTWJjUtq0UEOD8ep0kc/6oH3/M3STm12P+KBQ2QikAAAAAQNGXnGwJnbLOBRUXZ9+vTBmpTZtr80CFhVnSlWJ+G96NZJ3E/NAh6eOP8xdGjRghPfgg80eh8BFKAQAAAACKlrQ0ac8e2wBq3z77+9Dc3KSmTa8FUKGhUuPGkkfJ/lW3oEOo6z34oNS5c8EdD8hOyf6fCgAAAAAo2gzDMvF41gBqxw7p8mX7vjVr2gZQbdpYRkaVcIUdQmXKnNQ8PLzgjw04QigFAAAAAHCes2elbdtsQ6hTp+z7BQRcC58yH9WqOb/eApY1YKpa1dJ28qTtv4OCpI4dpU2bpO++kxYscHyKChKTmsMVXBpK/fTTT3rnnXcUHR2t+Ph4LV26VA888IB1u2EYmjRpkubMmaNz584pLCxMM2fOVJMmTVxXNAAAAAAgZ1JSpN9+s52M/NAh+36enlKLFrbzQNWvb7k9rxjKLnjKzSgnd3fHiwYWlOuPz6TmcAWXhlIXL15UixYt9MQTT+jBBx+02z516lRNmzZN8+bNU4MGDfTmm2+qa9euOnjwoPz9/V1QMQAAAADAoYwM6c8/r4VPW7dKu3ZJqan2fevVuzb6KSxMatlS8vFxdsWFYskSadSo/N9eV1iB1CuvSHfddW0kVny8ZWQWk5rDFVwaSvXs2VM9e/Z0uM0wDEVGRmrChAnqezWq/fzzzxUYGKivvvpKzzzzjDNLBQAAAABkdfLktQBqyxbLLXnnz9v3q1zZNoBq106qVMnp5RaG60dEbdwoTZrk6qocy5wvKiLiWvjEZOZwtSI7p9SRI0eUkJCgbt26Wdu8vb3VqVMnbdq0KdtQKiUlRSkpKdbnSUlJhV4rAAAAAJRoly5ZJh/POgrq6FH7fj4+UuvW1wKo0FCpTp1rExYVU45ux1u+3DlzPRUE5otCUVVkQ6mEhARJUmBgoE17YGCgjh07lu1+U6ZM0aSiGk1fZ8eOHXrkyWft2quU99cH06a6oCIAAAAApZ7ZLO3fbzsKas8e+/vJTCapUSPbAKpZM8v8UEVMZqgUF2cJkapUuTZn+vWTjGf+OyHB0vfoUemrr4pH+JQd5otCUVVkQ6lMpusSdcMw7NqyGj9+vMaMGWN9npSUpJCQkEKrLz9SM6SwR5+3a9+y8H0XVAMAAACg1DEMS1KTGT5t2SJFR0sXLtj3DQq6FkCFhUlt20rlyjm/5lwqqDmeipPgYOmppyxzxTNfFIqyIhtKVbsaWyckJCgoKMjafvLkSbvRU1l5e3vL29u70OsDAAAAgGInKUnavt12FFR8vH2/smUtoVPWUVDBwYVa2o1GM2WOWsptW1Ge46kgEUKhuCqyoVSdOnVUrVo1RUVFqVWrVpKk1NRUbdiwQW+//baLqwMAAACAIi4tTfr992vh09atltvyDMO2n7u71LSpbQDVuHG+U42chEyVKklnzpSMW+SciRAKJYVLQ6kLFy7ozz//tD4/cuSIdu3apYoVK6pmzZoaPXq0Jk+erPr166t+/fqaPHmy/Pz81L9/fxdWDQAAAABFjGFIR47YBlA7dkhXrtj3rV3bsgLe1QDK3KK1Nu4ocy082i1VO2npmtsRSoRMBcfd3XYarypVpMcek3r3JoRCyeHSUGr79u3q0qWL9XnmXFCDBg3SvHnzNHbsWF2+fFnDhg3TuXPnFBYWpjVr1sjf399VJedIRoah0xdSdCLxinTrXVp38KQMQ/L38VCAr6eqB/iqrE+RHaQGAAAAoAgzm6XN/3dW6Zu2qmb8FpU7sFVl92+VT/Jpu75XfMvrXN12utIiTEkNQ/VnxVAdTw28dnvbj9IHD0hnzzr/fZRWWUc5OZpg/eRJy+injh2lTZssd1cyGgollUuTkc6dO8u4fuhoFiaTSREREYqIiHBeUflwKjlFu2PP64+/LyjVnGFprHubdscm2vUNLOct1emglHSzvD34zgIAAAAUdZm3o8XHZx8m5PXfjkYfZW53S72ilK275PPbVpXdt0UV/9yq283X7jjJlCpP7VJLbVGYtipUWxSmPy/Xk7HHTdpTCCcEOTJxoiVQygybchMude5cqKUBLsdwnQJwyd1fS3bG6vjZy9Y2Lw83BQX46Nj2tQrtco8kKelKms5eTNXJ5BT9nZQiNeqqz345qpbB5dW6VnnCKQAAAORK1pAku192b9bnRtuz21YQ7ZJtm6NRITfrk5/nNxqV4ig0Wr5cWrCg8G9HMylD9XVIodqqMG1RPW1RC/0mL6XZ9T2kejYB1C61VKpY9KmoCAmRIiOlvn1dXQlQdBFK5UPipTS9/78/tLtiuHT2stxMUt0qZdU8OEDVy/vKzWTS9C/WqMOQATb7XUxJ1+FTF7Ru+z6l+lfR1qNntTc+UV1uraq6Vcq66N0AAAC4Xk5CluJSQ16Pk9P9HC1zHxwsTZ9+7Zfgm/W50XbJ8bZHH5UWLsxfe6VKlo9nzlxru37+nJz0ye/zrG60rTBV1d8K0xaFaqtCtVXttE0VdN6u3ylVtgmgtqmdzqmi8wuGncy5nu67z/I8LyOigNLKZNzo/rkSICkpSQEBAUpMTFS5cuUK9Nhf/HpMry6zjIOtW6WMwutXUYCvp02f6S8M0Kj3vnC4//QXBuiel2Zp059ndP6y5S8fDaqWVbm9i7X40w8KtFYAAOBYYV4rlGSFcd5yErIUtoKqIa/Hyel+S5ZIDz1kv4iayWT5uHix5eON+rz4ovTuu463l+zfEFzHTxfVWjusIVSYtqiWYuz6XZaPotXGGkBtVaiOqrYkk9NrxjWET0DO5fQ6gZFS+fBouxD9eviM/vppqbrdNeDmOzhQv6q/6lQqoy1HzmpHzDn9cfKCfCrcrj/+TlaDwKI9oTsAAEBByS5kiYuztC9eXPjBVEHVkNfj5HQ/s9kSXDkKjgzDEiqNGnXtuaM+kjRt2o23I3/cZFZj7bMZBdVUe+Qh2+FYGTJpvxppi8KsAdQeNVW6PLM5MvLr8celu++2n7vr+n9nneerRg3CJ6AwEErlg4e7m2Y+1lqP/Phxvo9zW73KuqVKGa34PUEXVFa9Z/yiGf1b6a5GgQVULQAAKMlmzZqld955R/Hx8WrSpIkiIyMVnjkpjwMbNmzQmDFjtHfvXlWvXl1jx47V0KFDnVjxNTkJWUaPtiyDXli/EBZUDXk9Tm7227jRdiSVo/432p71NVFQDAUr1iaAaqvtKquLdj3jVN0aPm1VqLarrZLFKE1nYI4noOghlCpCggJ89WhoiBb9uFVJqqKnv4jWlD7N1K9diKtLAwAARdiiRYs0evRozZo1S7fddps++ugj9ezZU/v27VPNmjXt+h85ckT33HOPnnrqKX355Zf65ZdfNGzYMFWpUkUPPvig0+vPSchy/LilX2GtRFVQNeT1OLnZLz4++35wDn8lqZ22WW/BC9MWBSnBrl+yymqb2tnchndCNVxQcfFRpYplHrI6dWxXInS0OmFO27jNDii6CKWKGD8vDzU8v1UhPZ7RtztiNfbb3TpzMVXPdq7r6tIAAEARNW3aNA0ePFhDhgyRJEVGRmr16tWaPXu2pkyZYtf/ww8/VM2aNRUZGSlJatSokbZv3653333XJaFUTkOWwgxjCqqGvB4nN/sFBeWsLwqGh9LUTL/bzAPVUAfkJtthbely1+9qZjMKar8aKUOlOwW5WchUqZJlMntukQNKJ0KpIshNht79R3MFlvPWrPWH9faqAzJnZGjEnfVdXRoAAChiUlNTFR0drXHjxtm0d+vWTZs2bXK4z+bNm9WtWzebtu7du+vTTz9VWlqaPD2dO5dNTkOWwgxjCqqGvB4nN/uFh1smP4+Lc3y7n8lk+eVeyr6PZPnFPyODOaRsGbpFf1lvwQvTFrXSTvnqil3Pv1THGj5tUZh2qpUuy88FNRecChUst4hmnW8ptyOUCJkA5AahVBFlMpk0tkdDlfH20DurD+rdNX/IMKTn7iKYAgAA15w+fVpms1mBgbbzUAYGBiohwf52IklKSEhw2D89PV2nT59WkIOEJCUlRSkpKdbnSUlJBVC9RU5CluBgS7/CUlA15PU4udnP3d2yGt9DD9mvlJe5st706ZaPN+ozZoxl9T1H2zOfl/SV+CrptM1teKHaqso6Y9fvrCpom9pZJyPfpnY6paouqPia61eC4/Y2AMURoVQRN7xLPUnSO6sP6r2oP+Tv46HHb6vj4qoAAEBRYzLZLhVvGIZd2836O2rPNGXKFE2aNCmfVTqWk5AlMrJwf1kuqBryepzc7te3r2U1vlGjbOeiCg62ncj5Zn3at89+u2S/LSREeuQRaeHC/LVXqmT5eCZL/uPubjv5ek765Oa5t66ordtOtcm4FkDV02FdL0Ve2qWW1tvwtihMf6qeJMsn4vowKLuV23L77+zCIlaCA1CSEUoVA8O71FO62dD7//tDk5bvU6Wy3urVorqrywIAAEVA5cqV5e7ubjcq6uTJk3ajoTJVq1bNYX8PDw9VykwCrjN+/HiNGTPG+jwpKUkhIQW3GEtOQ5bCVFA15PU4ud2vb99rq/FlzjV1fVBxsz43257dtilT8t8u2bZ17Cht2pS7Ptk+j8tQXfMfap22RX//sFU+u7eoQsxvcjOn2533pGr1dalZmCrfE6bfvEP1Z5kWqlzDW00kVTkpPZElQGI0EQAULEKpYmLkXfV05mKK5m8+pjH/3aUKfl66vX5lV5cFAABczMvLS23atFFUVJT69OljbY+KilLv3r0d7tOhQwf98MMPNm1r1qxR27Zts51PytvbW97e3gVXuAM5CVkKW0HVkNfj5HY/d/ebr0h4sz432p7dtoJqv74tL306d5ZlGNGWLdKkreq8dau0bZuUmChJtmvdVakihYVZHqGhUrt2Klehgspd3dzm6gMA4ByEUkXQjh079MiTz9q1G5KCKoUqXlX1zBfbtfDp9moeXN7p9QEAgKJlzJgxGjBggNq2basOHTpozpw5iomJ0dChQyVZRjnFxcVp/vz5kqShQ4dqxowZGjNmjJ566ilt3rxZn376qRYuXOjKtyEpZyFLcakhr8cpCuegSLtwQdqxwxJCbd1q+Xj8uH0/X1+pTRtL+BQaagmiatW6dj8kAMDlCKWKoNQMKezR5x1uMxZOV50OA7Tp8Bk9MXebFj/bUXUql3FyhQAAoCh5+OGHdebMGb3++uuKj49X06ZNtWLFCtWqVUuSFB8fr5iYGGv/OnXqaMWKFXr++ec1c+ZMVa9eXf/5z3/04IMPuuotAI6lp0v79tkGUHv3WpYNzMpkkpo0uRY+tWsnNW0qOXklSQBA7hBKFTNuytBHA9ro0Y9/1Z64JA38bIuWDrtNlcsW7nB6AABQtA0bNkzDhg1zuG3evHl2bZ06ddKOHTsKuSogFwzDMuIpM4DaulXavl26dMm+b40a127BCwuzjIjy93d+zQCAfCGUKob8fTw19/FQPTh7k2LOXtKQz7fr66fby8eTGRcBAABQTJw/bwmdso6C+vtv+37+/paRT5khVGioVJ1FfwCgJCCUKqaq+Htr7hPt1HfWJu06fl6jv96lWY+1lpsb98gDAACgiElNlXbvvhY+bd0qHThg38/DQ2rWzHYy8oYNJTc359cMACh0hFLFWN0qZfXxwLb65ydbtGpvgqas3K8J9zZ2dVkAAAAozQxDOnzYNoDauVNKSbHvW6eO7W14rVpZJigHAJQKhFLFXGidinrnH8016utd+njjEYVU9NPADrVdXRYAAABKi9OnbQOorVuls2ft+1WocC18yrwNr0oV59cLACgyCKVKgN4tayj23GW9s/qgIr7fqxrlfXVXo0BXlwUAAICS5vJly6inzPBpyxbpr7/s+3l5WUY9ZR0FVbeuZZU8AACuIpQqIYZ1rqvjZy/p623HNeKrnfrvMx3ULDjA1WUBAACguMrIsMz7lDWA2r1bSk+379uw4bXRT2FhUvPmlmAKAIAbIJQqIUwmk954oKnizl/WxkOn9eTn27R0WEcFV/BzdWkAAAAoDuLjbVfC275dSkqy7xcYaHsLXrt2UvnyTi8XAFD8EUqVIJ7ubpr1WGv948PNOpCQrCfnbdM3QzsqwNfT1aUBAACgKLlwQYqOtp0L6vhx+35+flKbNtdGQIWFSSEh3IYHACgQhFIljL+Ppz57vJ36zPpFf/x9Qc9+Ga15T4TKy4NldAEAAEql9HRp717bAGrvXsvteVm5uUlNmtiOgmrSRPLgVwYAQOHgJ0wJVL28rz57vJ36fbhZmw6f0ctLf9c7DzWXib9oAQAAlGyGIcXE2AZQ0dHSpUv2fUNCbFfDa9NGKlvW+TUDAEotQqkSqkn1AM14rLWGfL5di6NjVbOin0beVd/VZQEAAKAgnTsnbdt2bTLyrVulv/+271eunGXup6yjoIKCnF8vAABZEEqVYF1urarXezfRhKV7NC3qD4VU9FWfVsGuLgsAAAB5kZJiWf0u62Tkf/xh38/DQ2rRwnYU1K23Wm7PAwCgCCGUKuEeC6ulmLOX9NGGvzR28W4FlvNRx7qVXV0WAAAAbsQwpD//tL0Nb+dOKTXVvm/dutdGQYWFSS1bSr6+Ti8ZAIDcIpQqBV7q3lCxZy/r/36P19Pzo/XF4FC1qlnB1WUBAAAg06lT126/ywyhzp2z71ep0rXb78LCLGFUZf7gCAAongilSgE3N5Pe69dC5y6latPhMxr42VYtfKq9mtYIcHVpAAAApc+lS5ZRT1kDqCNH7Pt5e0utW9vehnfLLRKL1wAASghCqVLCx9Ndnwxqq0GfbdW2o+f0z0+36Oun26thtXKuLg0AAKDkMpulAwdsA6jduy3t12vUyDaAatZM8vJyfs0AADgJoVQp4ufloc8eb6cBn27VruPn9djHW7TomfaqV9Xf1aUBAACUDHFxtgHU9u1ScrJ9v2rVroVPYWFS27ZSAKPYAQClC6FUKePv46nPnwzVY5/8qj1xSer/sWXE1C1Vyrq6NAAAgOIlOdkSOmUNoeLi7Pv5+VlCp6whVHAwt+EBAEo9QqlSKMDXU188GaZHP/5VBxKS1e+jzZr/ZJgaV+dWPgAAAIfS0qQ9e2wDqH37LKvkZeXmJjVtansbXuPGkgeX3QAAXI+fjqVUhTJe+nJImAZ+ulX74pP0yJzNmvtEO7WpVdHVpQEAALiWYUhHj9quhrdjh3T5sn3fmjVtA6g2baQyZZxeMgAAxRGhVClWuay3Fj7dXoPnbdP2Y+fU/+Mtmv5IS/VoGuTq0gAAAJzn3DnbAGrrVunUKft+AQFSu3bXAqjQUMvcUAAAIE8IpUq5AF9PzR8cquELdmjdwVN6dsEOTbinkQbfXkcm5jkAAAAlTUqKtGuXbQB16JB9P09PqUUL2wCqQQPL7XkAAKBAEEpBfl4e+nhgW0X8sFdf/hqjN/9vvw4kJOvNB5rKx9Pd1eUBAADkTUaG9Oef18KnLVssgVRamn3fevVsb8Nr2VLy8XF2xQAAlCqEUsXMjh079MiTzzrcVqW8vz6YNjVPx/Vwd9MbvZuqdqUymrxivxZHx+pgQrJm/7O1giv45adkAAAA5zh58loAlfk4f96+X+XKtgFUu3ZSpUpOLxcAgNKOUKqYSc2Qwh593uG2LQvfz9exTSaThoTfokZB5TTiqx36PS5R90zfqCl9m+ve5swzBQAAipBLlyyTj2cdBXXsmH0/Hx+pdWvbEKpOHYlpCgAAcDlCKdi5rV5l/fDc7Rr+1U79dvy8hn+1Q+sPBuuV+xorwNfT1eUBAIDSxmyW9u+3HQX1+++W9qxMJqlRI9sAqlkzy/xQAACgyCGUgkPBFfy0eGgHTf/fIc1c/6e+iY7VT4dO6Y3eTdWtCavMAACAQhQbazsR+fbt0oUL9v2Cgq6FT2FhUps2lhXyAABAsUAohWx5urvpxe636o4GVfTSt7t15PRFPf1FtO5uVFUT7m2sOpXLuLpEAABQEnXpYpmgPKsyZSxzP2WuhBcWJtWowW14AAAUY6xpi5sKrVNRK0eFa2inuvJwM+l/+0+q2/sb9MbyfTp9IcXV5QEAUKqdO3dOAwYMUEBAgAICAjRgwACddzS591VpaWl66aWX1KxZM5UpU0bVq1fXwIEDdeLECecVfTMdO0otWkhPPy198onlVr3ERGndOuntt6UHH5SCgwmkAAAo5hgpVYIU1sp8kuTj6a5xPRvqoTbBemP5Pm3445Q+/fmIFm6N0eMda+uJ2+qoir93no8PAADypn///oqNjdWqVaskSU8//bQGDBigH374wWH/S5cuaceOHXr11VfVokULnTt3TqNHj9b999+v7du3O7P07M2bR+AEAEApQChVghTmynyZ6lUtq8+fDNWGP07pvTUHtTs2UbPWH9YnPx/Rg61r6J/ta6lJdeZyAADAGfbv369Vq1bp119/VVhYmCTp448/VocOHXTw4EHdeuutdvsEBAQoKirKpu2DDz5QaGioYmJiVLNmTafUfkMEUgAAlAqEUsiTTg2q6I76lRW172/NWn9Yu46f18Ktx7Vw63E1CiqnB1vX0AOtaqhyWUZPAQBQWDZv3qyAgABrICVJ7du3V0BAgDZt2uQwlHIkMTFRJpNJ5cuXz7ZPSkqKUlKu3baflJSU57oBAAAkQinkg8lkUrcm1dS1caCij53T3E1HFbX3b+2PT9Kb/5ekf688oM63VtHdjQLV6dYqCgrwdXXJAACUKAkJCapatapde9WqVZWQkJCjY1y5ckXjxo1T//79Va5cuWz7TZkyRZMmTcpzrQAAANcjlEK+mUwmta1dUW1rV9T5S6n6YXe8FkfH6rfj5/W//Sf1v/0nJUkNq/mr061VdEf9KmoRUl5lvfnyAwDAkYiIiJsGQNu2bZNk+Tl8PcMwHLZfLy0tTY888ogyMjI0a9asG/YdP368xowZY32elJSkkJCQm74GAABAdkgFUKDK+3lpQPtaGtC+lv48mazlu+O1/uAp/RZ7XgcSknUgIVkfbfhLbiapQaC/WtUsr1YhFdSkRjnVrVJWPp7urn4LAAC43IgRI/TII4/csE/t2rW1e/du/f3333bbTp06pcDAwBvun5aWpn79+unIkSNau3btDUdJSZK3t7e8vbktHwAAFBxCKei5MWN16nyyw2379/6uRk2a5Wubj6TWJk8lelXRscteMlW5RanuftaQauHW45adjAz5mC/J13xBfunJ8jZflLf5snzMl1S9nIdm5mH1wLy+t/yuVlhQblR/UamxpMvuc1Bczj9fQyhO+Hq9pnLlyqpcufJN+3Xo0EGJiYnaunWrQkNDJUlbtmxRYmKiOnbsmO1+mYHUoUOHtG7dOlWqVKnAagcAAMgpQino1PnkbFft+/WFAQW6bfoLAzTqvS90MSVdCUlXFJ94RQmJV3T6QopS0qUrHmV1xaOsznlXs9lvp5Gh395eq+AKvgqu4KegAB9VLuutymW9VcXfW5XLeqmKv7fKenvY3K6Q1/dWUKsV5teN6i8qNZZ02X0Oisv552sIxQlfr7nXqFEj9ejRQ0899ZQ++ugjSdLTTz+t++67z2aS84YNG2rKlCnq06eP0tPT9dBDD2nHjh1avny5zGazdf6pihUrysvLyyXvBQAAlD7FIpSaNWuW3nnnHcXHx6tJkyaKjIxUeHi4q8tCPpTx9lDdKmVVt0pZSZa5L/4zYZj6vPiezlxI0dmLqUq6kq6ky2lKvpIus9wUe+6yYs9dlnQ22+N6e7hdDaksj8P+LZRy6JR8PNzl7ekmHw93+Xi6ydvTXfKroCtpZnl5uMmNpacBAMXUggULNHLkSHXr1k2SdP/992vGjBk2fQ4ePKjExERJUmxsrL7//ntJUsuWLW36rVu3Tp07dy70mgEAAKRiEEotWrRIo0eP1qxZs3Tbbbfpo48+Us+ePbVv3z7VrFnT1eWhgJhMJinlgmpW9FPNin422wzD0M//na0Jr76m2HOXdfzsJZ1MTtGp5BSdvpD5MVUXUtKVkp6RJbyS5BuiUzHnHb9o5+f00U9/SbKEWd4ebvLycJOXu5suBYRq+Fc7VNbLQ2W8PVTW293y0cdDZb09VMba7qEy3u7y9XK/Gni5y9vDTW5uhFwAAOeoWLGivvzyyxv2MQzD+u/atWvbPAcAAHCVIh9KTZs2TYMHD9aQIUMkSZGRkVq9erVmz56tKVOmuLg6OIPJZJJXRora1KqoNrWy73c51azTF1J08mpYdfpCij784htVbdxRV9LNupJmVkpaxtV/Z+jCxYuSh2XC1pT0DKWkZ1w7mHdV/d/u+DzX7OXhJh8PN/l4ul99XP331RFb3pkjtjzc5eVhkpe7mzzd3eTpYfno5W6Sp7ub4n3raHfsebm5meRuMsndzSS3qx/Pe1bWr3+dudrfEqh5Xt3P6+pxMp97urvJnaAsRwzDUIYhpWdkyJxhKN3koStpZmUYhgxD1o9X3P3058kLyjAMpZsNmTMMmQ1DGVd/0bP9fc/IcnxHrde1Z3ly/a+NJklubia5mSQ3k+nawy3r88w+Jl1x91PS5TTJZNnXZDJd/SilmTyVeDlNbibJ3c3ydZX5dZaTVbuAwnaj/wsAAAAo/op0KJWamqro6GiNGzfOpr1bt27atGmTi6pCUeXr5a6Qin4KyTLS6oePDius/v0O+09/YYBGvDNfKVdDqpR0s1LTM5RqztCBX1ZpwGP9dTElXRdSzLqYkn7135bHRetHy7bLaWalZ1z7lSk1PUOp6RlKupKevzfl30THDp5yvK1Cez0y59ccH8pkkjzcTPJwc7N8dDfJ3c0SXLm7mazBVea2rP083NyufrT8293dJE83y/4ebia5uZlkuhp6ZL6W6eoz23aTTT1Z+2QYhjKuBjvmDFn/bf1oXG27rt2cYQmCzBmGMjKuhUnmq2FRhmEoPXO/6x7pGZbjpGc5rjnjul99q/TQ9qsj6mxUulN3T9uQ4/PvMpXu1K5NRx1vq9JdLSatcbjJzSR5uLnJze3qR5Pk4W651dUjM8DK+jA5aLva7uFusu7n5mb78Ub7ubtf3d/BfrZ1uMn9aihn8zWW5f1kzdhs/i2Tw/ascnTMbI5jGJIhwxo6GroWtFxrs2y39M3cz7D82+H+9m262t/aluV51mM6/L9g3Pj/Rub/IcvzDJkzJHNGhszG1Y9Z/+9d/X+acf3/TUPWY2cYme3K8n/XUsflKj21de0hm7ozlalwu+NPEAAAAIqtIh1KnT59Wmaz2W5J48DAQOuEnNdLSUlRSkqK9Xnm/AlJSUmFVmdaaqquXLzgcFuG2ZzrbXnZ52bb0lJTsz0HBV3/jbYVRv03crP3lnb5otwk+Uny89DV/xEm/Z30lx5slruViNLNGbqSnqGUtKujssyZ/85QalqGrpivjtRKM1v7pZozlJZuKN2codQMQ2nmDKWbM5RmzlBquqGft2xX+eD610KYLIHMhXOnVS2omtLM1/ZLNWcozWwJY9KvD1ckmSWl2JeOHDIpM/iQjPRUlfHztQYlWUexWfubbPe91u445FAO+meO5Mr8xT4jI3P0lqXdyBICZMjQpUspcvPwtAYcGVnCjBvJkJTPSBUoUOa0S4X2s7wwrxFKssyAlfMHAACul3l9cLMpA0xGEZ5U4MSJE6pRo4Y2bdqkDh06WNvfeustffHFFzpw4IDdPhEREZo0aZIzywQAACVAYmKiypUr5+oyio3Y2FiFhIS4ugwAAFCEHT9+XMHBwdluL9IjpSpXrix3d3e7UVEnT560Gz2Vafz48RozZoz1eUZGhs6ePatKlSrla46UpKQkhYSE6Pjx41yw3gTnKuc4V7nD+co5zlXucL5yriSeq8y/z/n7+7u4kuKlevXqOn78uPz9/ZmHTiXz/0Zxwvl3PT4HrsX5dz0+B7YMw1BycrKqV69+w35FOpTy8vJSmzZtFBUVpT59+ljbo6Ki1Lt3b4f7eHt7y9vb26atfPnyBVZTuXLl+ALLIc5VznGucofzlXOcq9zhfOUc5wpubm43/MtnacX/Ddfi/LsenwPX4vy7Hp+DawICAm7ap0iHUpI0ZswYDRgwQG3btlWHDh00Z84cxcTEaOjQoa4uDQAAAAAAAHlU5EOphx9+WGfOnNHrr7+u+Ph4NW3aVCtWrFCtWrVcXRoAAAAAAADyqMiHUpI0bNgwDRs2zKU1eHt7a+LEiXa3BsIe5yrnOFe5w/nKOc5V7nC+co5zBTjG/w3X4vy7Hp8D1+L8ux6fg7wp0qvvAQAAAAAAoGRyc3UBAAAAAAAAKH0IpQAAAAAAAOB0hFIAAAAAAABwOkKpLGbNmqU6derIx8dHbdq00caNG2/Yf8OGDWrTpo18fHx0yy236MMPP3RSpa6Xm3O1ZMkSde3aVVWqVFG5cuXUoUMHrV692onVulZuv64y/fLLL/Lw8FDLli0Lt8AiJrfnKyUlRRMmTFCtWrXk7e2tunXr6rPPPnNSta6V23O1YMECtWjRQn5+fgoKCtITTzyhM2fOOKla1/npp5/Uq1cvVa9eXSaTScuWLbvpPqX1+3tuz1Vp//4OOHL06FENHjxYderUka+vr+rWrauJEycqNTXV1aWVKm+99ZY6duwoPz8/lS9f3tXllHh5vd5F/uXlOgcFZ8qUKWrXrp38/f1VtWpVPfDAAzp48KCryypWCKWuWrRokUaPHq0JEyZo586dCg8PV8+ePRUTE+Ow/5EjR3TPPfcoPDxcO3fu1Msvv6yRI0fq22+/dXLlzpfbc/XTTz+pa9euWrFihaKjo9WlSxf16tVLO3fudHLlzpfbc5UpMTFRAwcO1F133eWkSouGvJyvfv366ccff9Snn36qgwcPauHChWrYsKETq3aN3J6rn3/+WQMHDtTgwYO1d+9effPNN9q2bZuGDBni5Mqd7+LFi2rRooVmzJiRo/6l+ft7bs9Vaf7+DmTnwIEDysjI0EcffaS9e/fq/fff14cffqiXX37Z1aWVKqmpqfrHP/6hZ5991tWllHh5vd5Fwcjtz24UrA0bNmj48OH69ddfFRUVpfT0dHXr1k0XL150dWnFhwHDMAwjNDTUGDp0qE1bw4YNjXHjxjnsP3bsWKNhw4Y2bc8884zRvn37QquxqMjtuXKkcePGxqRJkwq6tCInr+fq4YcfNl555RVj4sSJRosWLQqxwqIlt+dr5cqVRkBAgHHmzBlnlFek5PZcvfPOO8Ytt9xi0/af//zHCA4OLrQaiyJJxtKlS2/YpzR/f88qJ+fKkdLy/R3IjalTpxp16tRxdRml0ty5c42AgABXl1GiFcTvBigYef3ZjYJz8uRJQ5KxYcMGV5dSbDBSSpa/pERHR6tbt2427d26ddOmTZsc7rN582a7/t27d9f27duVlpZWaLW6Wl7O1fUyMjKUnJysihUrFkaJRUZez9XcuXN1+PBhTZw4sbBLLFLycr6+//57tW3bVlOnTlWNGjXUoEEDvfjii7p8+bIzSnaZvJyrjh07KjY2VitWrJBhGPr777+1ePFi3Xvvvc4ouVgprd/fC0Jp+f4O5FZiYiL/L1AiFcTvBkBJkpiYKEl8z88FD1cXUBScPn1aZrNZgYGBNu2BgYFKSEhwuE9CQoLD/unp6Tp9+rSCgoIKrV5Xysu5ut57772nixcvql+/foVRYpGRl3N16NAhjRs3Ths3bpSHR+n675mX8/XXX3/p559/lo+Pj5YuXarTp09r2LBhOnv2bImeVyov56pjx45asGCBHn74YV25ckXp6em6//779cEHHzij5GKltH5/Lwil5fs7kBuHDx/WBx98oPfee8/VpQAFriB+NwBKCsMwNGbMGN1+++1q2rSpq8spNhgplYXJZLJ5bhiGXdvN+jtqL4lye64yLVy4UBEREVq0aJGqVq1aWOUVKTk9V2azWf3799ekSZPUoEEDZ5VX5OTmaysjI0Mmk0kLFixQaGio7rnnHk2bNk3z5s0r8aOlpNydq3379mnkyJF67bXXFB0drVWrVunIkSMaOnSoM0otdkrz9/e8Ko3f31G6REREyGQy3fCxfft2m31OnDihHj166B//+EepmMOvsOXlcwDnyOvvBkBJMmLECO3evVsLFy50dSnFSukaipGNypUry93d3S7NP3nypF3qn6latWoO+3t4eKhSpUqFVqur5eVcZVq0aJEGDx6sb775RnfffXdhllkk5PZcJScna/v27dq5c6dGjBghyRK6GIYhDw8PrVmzRnfeeadTaneFvHxtBQUFqUaNGgoICLC2NWrUSIZhKDY2VvXr1y/Uml0lL+dqypQpuu222/Svf/1LktS8eXOVKVNG4eHhevPNNxn9k0Vp/f6eH6Xt+ztKpxEjRuiRRx65YZ/atWtb/33ixAl16dJFHTp00Jw5cwq5utIht58DFL78/G4AlCTPPfecvv/+e/30008KDg52dTnFCqGUJC8vL7Vp00ZRUVHq06ePtT0qKkq9e/d2uE+HDh30ww8/2LStWbNGbdu2laenZ6HW60p5OVeS5S/oTz75pBYuXFhq5rDJ7bkqV66cfv/9d5u2WbNmae3atVq8eLHq1KlT6DW7Ul6+tm677TZ98803unDhgsqWLStJ+uOPP+Tm5laifxjk5VxdunTJ7pZQd3d3SddGAcGitH5/z6vS+P0dpVPlypVVuXLlHPWNi4tTly5d1KZNG82dO1dubtycUBBy8zmAc+T1dwOgpDAMQ88995yWLl2q9evXl/jf2QqFK2ZXL4q+/vprw9PT0/j000+Nffv2GaNHjzbKlCljHD161DAMwxg3bpwxYMAAa/+//vrL8PPzM55//nlj3759xqeffmp4enoaixcvdtVbcJrcnquvvvrK8PDwMGbOnGnEx8dbH+fPn3fVW3Ca3J6r65W21fdye76Sk5ON4OBg46GHHjL27t1rbNiwwahfv74xZMgQV70Fp8ntuZo7d67h4eFhzJo1yzh8+LDx888/G23btjVCQ0Nd9RacJjk52di5c6exc+dOQ5Ixbdo0Y+fOncaxY8cMw+D7e1a5PVel+fs7kJ24uDijXr16xp133mnExsba/N+A8xw7dszYuXOnMWnSJKNs2bLW723JycmuLq3Eudk1CQrXzX52o3A9++yzRkBAgLF+/Xqb7/eXLl1ydWnFBqFUFjNnzjRq1apleHl5Ga1bt7ZZxnHQoEFGp06dbPqvX7/eaNWqleHl5WXUrl3bmD17tpMrdp3cnKtOnToZkuwegwYNcn7hLpDbr6usSlsoZRi5P1/79+837r77bsPX19cIDg42xowZU2p+COT2XP3nP/8xGjdubPj6+hpBQUHGY489ZsTGxjq5audbt27dDb8H8f39mtyeq9L+/R1wZO7cuQ7/X/C3YOcaNGiQw8/BunXrXF1aiXSjaxIUrpv97Ebhyu77/dy5c11dWrFhMgzu2wAAAAAAAIBzcYM7AAAAAAAAnI5QCgAAAAAAAE5HKAUAAAAAAACnI5QCAAAAAACA0xFKAQAAAAAAwOkIpQAAAAAAAOB0hFIAAAAAAABwOkIpAAAAAAAAOB2hFIBizWQyadmyZa4uw07nzp01evRoV5cBlAg//fSTevXqperVq+f5/7xhGHr33XfVoEEDeXt7KyQkRJMnTy74YgGUakePHpXJZNKuXbtcXUqu1K5dW5GRkQV2vJJwHZT1501x/bwCxQGhFACXmDJlitq1ayd/f39VrVpVDzzwgA4ePJht/2eeeUYmk6lALpg6d+4sk8kkk8kkb29vNWjQQJMnT5bZbM73sQEUvIsXL6pFixaaMWNGno8xatQoffLJJ3r33Xd14MAB/fDDDwoNDS3AKgGUdJnXDtk9Hn/8cVeXeFPz5s1T+fLl7dq3bdump59+2vkFFQERERFq2bKlXXt8fLx69uzp/IKAUsbD1QUAKJ02bNig4cOHq127dkpPT9eECRPUrVs37du3T2XKlLHpu2zZMm3ZskXVq1cvsNd/6qmn9Prrr+vKlStavny5Ro4cKXd3d7300ksF9hoACkbPnj1v+ItBamqqXnnlFS1YsEDnz59X06ZN9fbbb6tz586SpP3792v27Nnas2ePbr31VidVDaCkiY+Pt/570aJFeu2112z+oObr66tz5865ojSZzWaZTCa5ueVtzEGVKlUKuKLir1q1aq4uASgVGCkFwCVWrVqlxx9/XE2aNFGLFi00d+5cxcTEKDo62qZfXFycRowYoQULFsjT09PhsU6fPq0+ffrIz89P9evX1/fff3/T1/fz81O1atVUu3ZtjRgxQnfddZd1iHZqaqrGjh2rGjVqqEyZMgoLC9P69eut+545c0aPPvqogoOD5efnp2bNmmnhwoU3fb8BAQGaP3/+TWsDkDtPPPGEfvnlF3399dfavXu3/vGPf6hHjx46dOiQJOmHH37QLbfcouXLl6tOnTqqXbu2hgwZorNnz7q4cgDFSbVq1ayPgIAAmUwmu7ZMf/31l7p06SI/Pz+1aNFCmzdvtjnWpk2bdMcdd8jX11chISEaOXKkLl68aN1+7tw5DRw4UBUqVJCfn5969uxp/Z4mXRvxtHz5cjVu3Fje3t46duzYDa9h1q9fryeeeEKJiYnW0V0RERGS7G/fO3/+vJ5++mkFBgbKx8dHTZs21fLlyyXl7TrIkX//+98KDAyUv7+/Bg8erHHjxtmMWHJ0C+ADDzxgMyLtyy+/VNu2beXv769q1aqpf//+OnnypHX7+vXrZTKZ9OOPP/5/e/cfU1X9/wH8eQFphMqSKCEDHQaBQl7IOUAEE7l5y2jqYAwvFptKIdGEdA0BmcuwxaS57B8mzFEIBDgKMS0wwR/YvXghEeKHVykH2p3LSRLEve/PH4wzrpcfl/p2+Q6fj+1u3Pd5/7rnjnNe7/c9533w8ssv48knn0RwcLA0mVhYWIjs7Gw0NzdL+6SwsBDA1EtEXL9+HUqlEnPnzsWzzz4LlUoFvV4vbf/666/h5+cHBwcHODs7IyIiwuQ7JqIRnJQiov8X7t+/DwBYsGCBlGY0GqFSqfDBBx9g2bJlE5bNzs5GdHQ0WlpaoFQqERcXN+3BpoODA/7++28AUw9w//rrLwQGBuLbb7/FtWvXsGPHDqhUKjQ2No5b94kTJxAdHY3jx48jPj5+Wv0iosl1d3ejuLgYZWVlCA0NhaenJ9LS0rB69WoUFBQAGBkc3rp1C2VlZTh+/DgKCwuh0WiwZcuWGe49Ec1W6enpSEtLg1arhZeXF2JjYzE8PAwA+Pnnn6FQKLBp0ya0tLSgpKQEDQ0N2LVrl1T+rbfeglqtRlVVFS5dugQhBJRKpRSrAMDDhw/x8ccfIz8/H62trXjmmWcmjWGCg4ORl5eH+fPno7e3F729vUhLSzPru9FoxIYNG3Dx4kUUFRXh+vXryMnJga2tLYDpx0HjKS0tRVZWFj766COo1Wq4urri6NGj097PQ0NDOHDgAJqbm3Hy5EnodLpxb6NMT09Hbm4u1Go17OzskJCQAACIiYlBamoqli1bJu2TmJiYKdvt7e1FWFgYVqxYAbVajdOnT+POnTuIjo6WtsfGxiIhIQFtbW04d+4cNm3aBCHEtD8j0awniIhmmNFoFBs3bhSrV682ST948KBYv369MBqNQgghPDw8xOHDh03yABD79u2T3vf39wuZTCZqamombC8sLEykpKQIIYQwGAyipqZG2Nvbiz179oiuri4hk8nE7du3TcqsW7dOfPjhhxPWqVQqRWpqqlkbn3/+uXBychK1tbWT7gMisgwAUVlZKb0vLS0VAISjo6PJy87OTkRHRwshhNi+fbsAIH755RepnEajEQBEe3u7tT8CEc0CBQUFwsnJySxdp9MJACI/P19Ka21tFQBEW1ubEEIIlUolduzYYVKuvr5e2NjYiIGBAdHR0SEAiAsXLkjb9Xq9cHBwEKWlpVL7AIRWq5XyWBLDTNTvsTHWd999J2xsbEyOmVOZKA6aSFBQkEhMTDRJW7VqlXjppZcmrSMqKkps27ZtwnqvXLkiAIgHDx4IIYSoq6sTAMT3338v5amurhYAxMDAgBBCiKysLJN2R40934x+r1evXhVCCJGRkSEiIyNN8v/666/SuWb0HHPz5s0J+0pEI7imFBHNuF27dqGlpQUNDQ1SmkajwWeffYampibIZLJJy/v7+0t/Ozo6Yt68eSaXbo/n6NGjyM/Px9DQEABApVIhKysL1dXVEELAy8vLJP/g4CCcnZ0BjKzbkJOTg5KSEty+fRuDg4MYHBw0WwurvLwcd+7cQUNDAxdUJvqPGI1G2NraQqPRSL/ij5o7dy4AwNXVFXZ2dib/1z4+PgCAnp4erjNFRP/nxsYmrq6uAIC7d+/ixRdfhEajQVdXF7788kspjxACRqMROp0OnZ2dsLOzw6pVq6Ttzs7O8Pb2Rltbm5Rmb29v0k5TU9OUMYwltFotFi1aZFbPKEvjoMm0tbUhMTHRJC0oKAh1dXUW1wEAV69exf79+6HVanHv3j0YjUYAI8d2X19fKd9E34e7u/u02hul0WhQV1cnnWfG6u7uRmRkJNatWwc/Pz8oFApERkZiy5YteOqpp/5Re0SzGSeliGhGJScno6qqCufPn8eiRYuk9Pr6erNgwWAwIDU1FXl5ebh586aU/uhaUzKZTApKJhIXF4f09HQ88cQTcHNzkwazlgxwc3NzcfjwYeTl5cHPzw+Ojo54//33pQmuUStWrEBTUxMKCgqwcuXKKSfXiGj65HI5DAYD7t69i9DQ0HHzhISEYHh4GN3d3fD09AQAdHR0AAA8PDys1lcienyMjU1Gz/+jsYnRaMTOnTvx3nvvmZVzd3eXjk+PEkKYxBIODg4m7y2JYSzh4OAw6XZL46B/y8bGxux2t7G3L/7555+IjIxEZGQkioqK4OLigp6eHigUCrO+TPZ9/BNGoxEbN27EoUOHzLa5urrC1tYWZ8+excWLF3HmzBkcOXIE6enpaGxsxJIlS/5xu0SzESeliGhGCCGQnJyMyspKnDt3zuwErVKpEBERYZKmUCigUqnw9ttv/+v2nZycsHTpUrN0Swa49fX1iIqKwtatWwGMBCadnZ3SlRejPD09kZubi/DwcNja2v6rx9kTPc76+/vR1dUlvdfpdNBqtViwYAG8vLwQFxeH+Ph45ObmQi6XQ6/Xo7a2Fn5+flAqlYiIiEBAQAASEhKQl5cHo9GIpKQkrF+/fsIrAYiI/isBAQFobW0dNw4BAF9fXwwPD6OxsRHBwcEARhYX7+joMIs1xrIkhrG3t4fBYJi0f/7+/vjtt9/Q0dEx7jHS0jhoMj4+Prh8+bLJWpuXL182yePi4mLyxEODwYBr165h7dq1AID29nbo9Xrk5OTg+eefBwCo1WqL+zDKkn3yqICAAJSXl2Px4sWwsxt/SC2TyRASEoKQkBBkZmbCw8MDlZWV2L1797T7SDSbcaFzIpoRSUlJKCoqwldffYV58+ahr68PfX19GBgYADBymfry5ctNXnPmzMHChQv/01ttxg5wKyoqoNPp8NNPP+HQoUM4deoUAGDp0qXSr19tbW3YuXMn+vr6Jqyvrq4O5eXlZk+QISLLqNVqyOVyyOVyAMDu3bshl8uRmZkJACgoKEB8fDxSU1Ph7e2NN954A42NjdIgxcbGBt988w2efvpprFmzBq+99hp8fHxw4sSJGftMRPT42rt3Ly5duoSkpCRotVp0dnaiqqoKycnJAIAXXngBUVFR2L59OxoaGtDc3IytW7fiueeeQ1RU1IT1WhLDLF68GP39/fjhhx+g1+vx8OFDs3rCwsKwZs0abN68GWfPnoVOp0NNTQ1Onz4NYHpx0ERSUlJw7NgxHDt2DB0dHcjKykJra6tJnldeeQXV1dWorq5Ge3s73n33Xfzxxx/Sdnd3d9jb2+PIkSO4ceMGqqqqcODAgWn1Y3SfjP7YodfrMTg4OGWZpKQk3Lt3D7Gxsbhy5Qpu3LiBM2fOICEhAQaDAY2NjTh48CDUajV6enpQUVGB33//fVoTd0SPC05KEdGM+OKLL3D//n2Eh4fD1dVVepWUlMx016Yc4GZkZCAgIAAKhQLh4eFYuHAh3nzzzQnr8/b2Rm1tLYqLi5GammqlT0E0e4SHh0MIYfYafWz3nDlzkJ2dDZ1Oh6GhIfT29qKiogJ+fn5SHW5ubigvL8eDBw/Q19eHgoICk6d9EhFZi7+/P3788Ud0dnYiNDQUcrkcGRkZ0lpHwEgsEhgYiNdffx1BQUEQQuDUqVNmSxY8aqoYJjg4GImJiYiJiYGLiws++eSTcespLy/HypUrERsbC19fX+zZs0e6mmi6cdB4YmJikJmZib179yIwMBC3bt3CO++8Y5InISEB27ZtQ3x8PMLCwrBkyRLpKilg5EqqwsJClJWVwdfXFzk5Ofj000+n1Q8A2Lx5M1599VWsXbsWLi4uKC4unrKMm5sbLly4AIPBAIVCgeXLlyMlJQVOTk6wsbHB/Pnzcf78eSiVSnh5eWHfvn3Izc3Fhg0bpt0/otlOJh69UZeIiIiIiIjIivbv34+TJ09Cq9XOdFeIyIp4pRQREREREREREVkdJ6WIiIiIiIiIiMjqePseERERERERERFZHa+UIiIiIiIiIiIiq+OkFBERERERERERWR0npYiIiIiIiIiIyOo4KUVERERERERERFbHSSkiIiIiIiIiIrI6TkoREREREREREZHVcVKKiIiIiIiIiIisjpNSRERERERERERkdZyUIiIiIiIiIiIiq/sfP63p/JvpAXMAAAAASUVORK5CYII=",
|
||
"text/plain": [
|
||
"<Figure size 1200x400 with 2 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 1200x400 with 2 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"for col in nums:\n",
|
||
" plt.figure(figsize=(12, 4))\n",
|
||
" \n",
|
||
" # Гистограмма с ядерной оценкой плотности (KDE)\n",
|
||
" plt.subplot(1, 2, 1)\n",
|
||
" sns.histplot(df[col], kde=True)\n",
|
||
" plt.title(f'Гистограмма для {col}')\n",
|
||
" \n",
|
||
" # Q-Q график\n",
|
||
" plt.subplot(1, 2, 2)\n",
|
||
" stats.probplot(df[col], dist=\"norm\", plot=plt)\n",
|
||
" plt.title(f'Q-Q график для {col}')\n",
|
||
" \n",
|
||
" plt.tight_layout()\n",
|
||
" plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 42,
|
||
"id": "180d3756-cba2-4d72-aae1-d8c8e5cadf68",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Переменная: Current\n",
|
||
"Статистика: 0.407, p-value: 2.994e-18\n",
|
||
"Вывод: Распределение отличается от нормального (p < 0.05)\n",
|
||
"---\n",
|
||
"Переменная: 24h Peak\n",
|
||
"Статистика: 0.404, p-value: 2.751e-18\n",
|
||
"Вывод: Распределение отличается от нормального (p < 0.05)\n",
|
||
"---\n",
|
||
"Переменная: All-Time Peak\n",
|
||
"Статистика: 0.518, p-value: 1.507e-16\n",
|
||
"Вывод: Распределение отличается от нормального (p < 0.05)\n",
|
||
"---\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"for col in nums:\n",
|
||
" stat, p = stats.shapiro(df[col])\n",
|
||
" print(f'Переменная: {col}')\n",
|
||
" print(f'Статистика: {stat:.3f}, p-value: {p:.3e}')\n",
|
||
" if p > 0.05:\n",
|
||
" print('Вывод: Распределение не отличается от нормального (p > 0.05)')\n",
|
||
" else:\n",
|
||
" print('Вывод: Распределение отличается от нормального (p < 0.05)')\n",
|
||
" print('---')"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "f0cd67d0-12f7-4bd4-87fe-1d69038fe66d",
|
||
"metadata": {},
|
||
"source": [
|
||
"Можно увидеть, что данные распределены неправильно и необходимо провести работы с нормальностью распределения"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"id": "c177a231-0510-4da1-883d-cf159d4a20e9",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"df.to_csv('')"
|
||
]
|
||
}
|
||
],
|
||
"metadata": {
|
||
"kernelspec": {
|
||
"display_name": "Python 3 (ipykernel)",
|
||
"language": "python",
|
||
"name": "python3"
|
||
},
|
||
"language_info": {
|
||
"codemirror_mode": {
|
||
"name": "ipython",
|
||
"version": 3
|
||
},
|
||
"file_extension": ".py",
|
||
"mimetype": "text/x-python",
|
||
"name": "python",
|
||
"nbconvert_exporter": "python",
|
||
"pygments_lexer": "ipython3",
|
||
"version": "3.12.4"
|
||
}
|
||
},
|
||
"nbformat": 4,
|
||
"nbformat_minor": 5
|
||
}
|