{
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"source": [
"from IPython.core.display import HTML\n",
"HTML(\"\"\"\n",
"\n",
"\"\"\")"
]
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{
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"source": [
"# Dota2 contest\n",
"\n",
"По первым 5 минутам игры предсказать, какая из команд победит: Radiant или Dire?\n",
"\n",
"https://inclass.kaggle.com/c/dota-2-win-probability-prediction\n",
"\n",
"## Предметная область\n",
"\n",
"Dota 2 — многопользовательская компьютерная игра жанра MOBA. Игроки играют между собой матчи. В каждом матче участвует две команды, 5 человек в каждой. Одна команда играет за светлую сторону (The Radiant), другая — за тёмную (The Dire). Цель каждой команды — уничтожить главное здание базы противника (трон).\n",
"\n",
""
]
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"source": [
"### Как проходит матч\n",
"\n",
"#### 1. Выбор героев\n",
"\n",
"Всего в игре чуть более 100 различных героев (персонажей). Герои различаются между собой своими характеристиками и способностями. От комбинации выбранных героев во многом зависит успех команды.\n",
"\n",
"#### 2. Основная игра\n",
"\n",
"Игроки могут получать золото и опыт за убийство чужих героев или прочих юнитов. Накопленный опыт влияет на уровень героя, который в свою очередь позволяет улучшать способности. За накопленное золото игроки покупают предметы, которые улучшают характеристики героев или дают им новые способности.\n",
"\n",
"После смерти герой отправляется в \"таверну\" и возрождается только по прошествии некоторого времени, таким образом команда на некоторое время теряет игрока, однако игрок может досрочно выкупить героя из таверны за определенную сумму золота.\n",
"\n",
"#### 3. Конец игры\n",
"\n",
"Игра заканчивается, когда одна из команд разрушет определенное число \"башен\" противника и уничтожает трон.\n",
"\n",
"## Признаки\n",
"\n",
"- `match_id`: идентификатор матча в наборе данных\n",
"- `start_time`: время начала матча (unixtime)\n",
"- `lobby_type`: тип комнаты, в которой собираются игроки (расшифровка в `dictionaries/lobbies.csv`)\n",
"\n",
"- Наборы признаков для каждого игрока (игроки команды Radiant — префикс `rN`, Dire — `dN`):\n",
" - `rN_hero`: герой игрока (расшифровка в dictionaries/heroes.csv)\n",
" - `rN_level`: максимальный достигнутый уровень героя (за первые 5 игровых минут)\n",
" - `rN_xp`: максимальный полученный опыт\n",
" - `rN_gold`: достигнутая ценность героя\n",
" - `rN_lh`: число убитых юнитов\n",
" - `rN_kills`: число убитых игроков\n",
" - `rN_deaths`: число смертей героя\n",
" - `rN_items`: число купленных предметов\n",
" \n",
"- Признаки события \"первая кровь\" (first blood). Если событие \"первая кровь\" не успело произойти за первые 5 минут, то признаки принимают пропущенное значение\n",
" - `first_blood_time`: игровое время первой крови\n",
" - `first_blood_team`: команда, совершившая первую кровь (0 — Radiant, 1 — Dire)\n",
" - `first_blood_player1`: игрок, причастный к событию\n",
" - `first_blood_player2`: второй игрок, причастный к событию\n",
" \n",
"- Признаки для каждой команды (префиксы `radiant_` и `dire_`)\n",
" - `radiant_bottle_time`: время первого приобретения командой предмета \"bottle\"\n",
" - `radiant_courier_time`: время приобретения предмета \"courier\" \n",
" - `radiant_flying_courier_time`: время приобретения предмета \"flying_courier\" \n",
" - `radiant_tpscroll_count`: число предметов \"tpscroll\" за первые 5 минут\n",
" - `radiant_boots_count`: число предметов \"boots\"\n",
" - `radiant_ward_observer_count`: число предметов \"ward_observer\"\n",
" - `radiant_ward_sentry_count`: число предметов \"ward_sentry\"\n",
" - `radiant_first_ward_time`: время установки командой первого \"наблюдателя\", т.е. предмета, который позволяет видеть часть игрового поля\n",
" \n",
"- Итог матча (данные поля отсутствуют в тестовой выборке, поскольку содержат информацию, выходящую за пределы первых 5 минут матча)\n",
" - `duration`: длительность\n",
" - `radiant_win`: 1, если победила команда Radiant, 0 — иначе\n",
" - Состояние башен и барраков к концу матча (см. описание полей набора данных)\n",
" - `tower_status_radiant`\n",
" - `tower_status_dire`\n",
" - `barracks_status_radiant`\n",
" - `barracks_status_dire`"
]
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"# магическая функция, чтобы графики рисовались в ноутбуке, а не в отдельном окне\n",
"%matplotlib inline\n",
"import matplotlib # графики\n",
"import numpy as np # библиотека для вычислений, там есть все полезные математические функции\n",
"import matplotlib.pyplot as plt # графики\n",
"import pandas as pd # утилиты для работы с данными, умеет csv, sql и так далее...\n",
"pd.set_option('display.max_columns', 500)\n",
"import seaborn as sns # красивые графики\n",
"sns.set_style(\"dark\")\n",
"plt.rcParams['figure.figsize'] = 16, 12 # увеличиваем размер картинок\n",
"\n",
"import datetime\n",
"\n",
"from sklearn.dummy import DummyClassifier\n",
"from sklearn.model_selection import cross_val_score, KFold\n",
"\n",
"from sklearn.ensemble import AdaBoostClassifier, RandomForestClassifier, GradientBoostingClassifier, VotingClassifier\n",
"from sklearn.neighbors import KNeighborsClassifier\n",
"from sklearn.svm import SVC\n",
"from sklearn.linear_model import SGDClassifier, Lasso, RidgeClassifier, LogisticRegression\n",
"from sklearn.naive_bayes import MultinomialNB\n",
"from sklearn.pipeline import Pipeline, FeatureUnion\n",
"from sklearn.base import BaseEstimator, TransformerMixin\n",
"from xgboost import XGBClassifier\n",
"from sklearn.preprocessing import PolynomialFeatures\n",
"from scipy import sparse"
]
},
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"cell_type": "code",
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" 0 | \n",
" 6 | \n",
" 37 | \n",
" 2 | \n",
" 591 | \n",
" 499 | \n",
" 0 | \n",
" 0 | \n",
" 0 | \n",
" 6 | \n",
" 41 | \n",
" 3 | \n",
" 712 | \n",
" 1075 | \n",
" 12 | \n",
" 0 | \n",
" 0 | \n",
" 6 | \n",
" 96 | \n",
" 5 | \n",
" 1878 | \n",
" 1174 | \n",
" 17 | \n",
" 0 | \n",
" 0 | \n",
" 6 | \n",
" 48 | \n",
" 3 | \n",
" 732 | \n",
" 1468 | \n",
" 22 | \n",
" 0 | \n",
" 0 | \n",
" 10 | \n",
" 15 | \n",
" 4 | \n",
" 1681 | \n",
" 1051 | \n",
" 11 | \n",
" 0 | \n",
" 0 | \n",
" 7 | \n",
" 102 | \n",
" 2 | \n",
" 674 | \n",
" 537 | \n",
" 1 | \n",
" 0 | \n",
" 0 | \n",
" 7 | \n",
" 20 | \n",
" 2 | \n",
" 510 | \n",
" 499 | \n",
" 0 | \n",
" 0 | \n",
" 0 | \n",
" 7 | \n",
" NaN | \n",
" NaN | \n",
" NaN | \n",
" NaN | \n",
" 208.0 | \n",
" -75.0 | \n",
" NaN | \n",
" 0 | \n",
" 3 | \n",
" 2 | \n",
" 0 | \n",
" -30.0 | \n",
" 124.0 | \n",
" -80.0 | \n",
" 184.0 | \n",
" 0 | \n",
" 4 | \n",
" 2 | \n",
" 0 | \n",
" 27.0 | \n",
" 1459 | \n",
" 0 | \n",
" 1920 | \n",
" 2047 | \n",
" 50 | \n",
" 63 | \n",
"
\n",
" \n",
" 4 | \n",
" 1430282290 | \n",
" 7 | \n",
" 13 | \n",
" 4 | \n",
" 1431 | \n",
" 1090 | \n",
" 8 | \n",
" 1 | \n",
" 0 | \n",
" 8 | \n",
" 27 | \n",
" 2 | \n",
" 629 | \n",
" 552 | \n",
" 0 | \n",
" 0 | \n",
" 1 | \n",
" 7 | \n",
" 30 | \n",
" 3 | \n",
" 884 | \n",
" 927 | \n",
" 0 | \n",
" 1 | \n",
" 0 | \n",
" 8 | \n",
" 72 | \n",
" 3 | \n",
" 925 | \n",
" 1439 | \n",
" 16 | \n",
" 1 | \n",
" 0 | \n",
" 11 | \n",
" 93 | \n",
" 4 | \n",
" 1482 | \n",
" 880 | \n",
" 7 | \n",
" 0 | \n",
" 0 | \n",
" 8 | \n",
" 26 | \n",
" 3 | \n",
" 704 | \n",
" 586 | \n",
" 1 | \n",
" 0 | \n",
" 2 | \n",
" 9 | \n",
" 69 | \n",
" 3 | \n",
" 1169 | \n",
" 1665 | \n",
" 20 | \n",
" 1 | \n",
" 0 | \n",
" 7 | \n",
" 22 | \n",
" 3 | \n",
" 1055 | \n",
" 638 | \n",
" 1 | \n",
" 0 | \n",
" 0 | \n",
" 9 | \n",
" 25 | \n",
" 5 | \n",
" 1815 | \n",
" 1275 | \n",
" 18 | \n",
" 0 | \n",
" 0 | \n",
" 8 | \n",
" 8 | \n",
" 4 | \n",
" 1119 | \n",
" 904 | \n",
" 6 | \n",
" 0 | \n",
" 1 | \n",
" 7 | \n",
" -21.0 | \n",
" 1.0 | \n",
" 6.0 | \n",
" NaN | \n",
" 166.0 | \n",
" -81.0 | \n",
" 181.0 | \n",
" 1 | \n",
" 4 | \n",
" 2 | \n",
" 0 | \n",
" 46.0 | \n",
" 182.0 | \n",
" -80.0 | \n",
" 225.0 | \n",
" 6 | \n",
" 3 | \n",
" 3 | \n",
" 0 | \n",
" -16.0 | \n",
" 2449 | \n",
" 0 | \n",
" 4 | \n",
" 1974 | \n",
" 3 | \n",
" 63 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" start_time lobby_type r1_hero r1_level r1_xp r1_gold r1_lh \\\n",
"match_id \n",
"0 1430198770 7 11 5 2098 1489 20 \n",
"1 1430220345 0 42 4 1188 1033 9 \n",
"2 1430227081 7 33 4 1319 1270 22 \n",
"3 1430263531 1 29 4 1779 1056 14 \n",
"4 1430282290 7 13 4 1431 1090 8 \n",
"\n",
" r1_kills r1_deaths r1_items r2_hero r2_level r2_xp r2_gold \\\n",
"match_id \n",
"0 0 0 7 67 3 842 991 \n",
"1 0 1 12 49 4 1596 993 \n",
"2 0 0 12 98 3 1314 775 \n",
"3 0 0 5 30 2 539 539 \n",
"4 1 0 8 27 2 629 552 \n",
"\n",
" r2_lh r2_kills r2_deaths r2_items r3_hero r3_level r3_xp \\\n",
"match_id \n",
"0 10 0 0 4 29 5 1909 \n",
"1 10 0 1 7 67 4 1506 \n",
"2 6 0 0 6 20 3 1297 \n",
"3 1 0 0 6 75 5 2037 \n",
"4 0 0 1 7 30 3 884 \n",
"\n",
" r3_gold r3_lh r3_kills r3_deaths r3_items r4_hero r4_level \\\n",
"match_id \n",
"0 1143 10 0 0 8 20 3 \n",
"1 1502 18 1 0 7 37 3 \n",
"2 909 0 1 0 6 27 5 \n",
"3 1139 15 0 0 6 37 2 \n",
"4 927 0 1 0 8 72 3 \n",
"\n",
" r4_xp r4_gold r4_lh r4_kills r4_deaths r4_items r5_hero \\\n",
"match_id \n",
"0 757 741 6 0 0 7 105 \n",
"1 669 631 7 0 0 7 26 \n",
"2 2360 2096 26 1 1 6 4 \n",
"3 591 499 0 0 0 6 41 \n",
"4 925 1439 16 1 0 11 93 \n",
"\n",
" r5_level r5_xp r5_gold r5_lh r5_kills r5_deaths r5_items \\\n",
"match_id \n",
"0 3 732 658 4 0 1 11 \n",
"1 2 415 539 1 0 0 5 \n",
"2 3 1395 1627 27 0 0 9 \n",
"3 3 712 1075 12 0 0 6 \n",
"4 4 1482 880 7 0 0 8 \n",
"\n",
" d1_hero d1_level d1_xp d1_gold d1_lh d1_kills d1_deaths \\\n",
"match_id \n",
"0 4 3 1058 996 12 0 0 \n",
"1 39 5 1960 1384 16 0 0 \n",
"2 22 5 2305 2028 19 1 1 \n",
"3 96 5 1878 1174 17 0 0 \n",
"4 26 3 704 586 1 0 2 \n",
"\n",
" d1_items d2_hero d2_level d2_xp d2_gold d2_lh d2_kills \\\n",
"match_id \n",
"0 6 42 4 1085 986 12 0 \n",
"1 8 88 3 640 566 1 0 \n",
"2 10 66 3 1024 959 19 0 \n",
"3 6 48 3 732 1468 22 0 \n",
"4 9 69 3 1169 1665 20 1 \n",
"\n",
" d2_deaths d2_items d3_hero d3_level d3_xp d3_gold d3_lh \\\n",
"match_id \n",
"0 0 4 21 5 2052 1536 23 \n",
"1 1 5 79 3 720 1350 2 \n",
"2 1 10 86 3 755 620 3 \n",
"3 0 10 15 4 1681 1051 11 \n",
"4 0 7 22 3 1055 638 1 \n",
"\n",
" d3_kills d3_deaths d3_items d4_hero d4_level d4_xp d4_gold \\\n",
"match_id \n",
"0 0 0 6 37 3 742 500 \n",
"1 2 0 12 7 2 440 583 \n",
"2 0 0 8 29 4 1319 667 \n",
"3 0 0 7 102 2 674 537 \n",
"4 0 0 9 25 5 1815 1275 \n",
"\n",
" d4_lh d4_kills d4_deaths d4_items d5_hero d5_level d5_xp \\\n",
"match_id \n",
"0 2 0 0 8 84 3 958 \n",
"1 0 0 0 7 12 4 1470 \n",
"2 4 0 0 7 80 3 1350 \n",
"3 1 0 0 7 20 2 510 \n",
"4 18 0 0 8 8 4 1119 \n",
"\n",
" d5_gold d5_lh d5_kills d5_deaths d5_items first_blood_time \\\n",
"match_id \n",
"0 1003 3 1 0 9 7.0 \n",
"1 1622 24 0 0 9 54.0 \n",
"2 1512 25 0 0 7 224.0 \n",
"3 499 0 0 0 7 NaN \n",
"4 904 6 0 1 7 -21.0 \n",
"\n",
" first_blood_team first_blood_player1 first_blood_player2 \\\n",
"match_id \n",
"0 1.0 9.0 NaN \n",
"1 1.0 7.0 NaN \n",
"2 0.0 3.0 NaN \n",
"3 NaN NaN NaN \n",
"4 1.0 6.0 NaN \n",
"\n",
" radiant_bottle_time radiant_courier_time \\\n",
"match_id \n",
"0 134.0 -80.0 \n",
"1 173.0 -80.0 \n",
"2 63.0 -82.0 \n",
"3 208.0 -75.0 \n",
"4 166.0 -81.0 \n",
"\n",
" radiant_flying_courier_time radiant_tpscroll_count \\\n",
"match_id \n",
"0 244.0 2 \n",
"1 NaN 2 \n",
"2 NaN 2 \n",
"3 NaN 0 \n",
"4 181.0 1 \n",
"\n",
" radiant_boots_count radiant_ward_observer_count \\\n",
"match_id \n",
"0 2 2 \n",
"1 0 2 \n",
"2 5 2 \n",
"3 3 2 \n",
"4 4 2 \n",
"\n",
" radiant_ward_sentry_count radiant_first_ward_time \\\n",
"match_id \n",
"0 0 35.0 \n",
"1 0 -20.0 \n",
"2 1 -39.0 \n",
"3 0 -30.0 \n",
"4 0 46.0 \n",
"\n",
" dire_bottle_time dire_courier_time dire_flying_courier_time \\\n",
"match_id \n",
"0 103.0 -84.0 221.0 \n",
"1 149.0 -84.0 195.0 \n",
"2 45.0 -77.0 221.0 \n",
"3 124.0 -80.0 184.0 \n",
"4 182.0 -80.0 225.0 \n",
"\n",
" dire_tpscroll_count dire_boots_count dire_ward_observer_count \\\n",
"match_id \n",
"0 3 4 2 \n",
"1 5 4 3 \n",
"2 3 4 3 \n",
"3 0 4 2 \n",
"4 6 3 3 \n",
"\n",
" dire_ward_sentry_count dire_first_ward_time duration radiant_win \\\n",
"match_id \n",
"0 2 -52.0 2874 1 \n",
"1 1 -5.0 2463 1 \n",
"2 1 13.0 2130 0 \n",
"3 0 27.0 1459 0 \n",
"4 0 -16.0 2449 0 \n",
"\n",
" tower_status_radiant tower_status_dire barracks_status_radiant \\\n",
"match_id \n",
"0 1796 0 51 \n",
"1 1974 0 63 \n",
"2 0 1830 0 \n",
"3 1920 2047 50 \n",
"4 4 1974 3 \n",
"\n",
" barracks_status_dire \n",
"match_id \n",
"0 0 \n",
"1 1 \n",
"2 63 \n",
"3 63 \n",
"4 63 "
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# df - data frame.\n",
"# Загружаем тренировочную выборку\n",
"df = pd.read_csv(\"data/features.csv.zip\", compression='zip', index_col='match_id')\n",
"df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Исследуем данные\n",
"\n",
"Для начала посмотрим информацию о датафреме и базовые характеристики признаков"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"Int64Index: 97230 entries, 0 to 114406\n",
"Columns: 108 entries, start_time to barracks_status_dire\n",
"dtypes: float64(12), int64(96)\n",
"memory usage: 80.9 MB\n"
]
}
],
"source": [
"df.info()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"
\n",
" \n",
" \n",
" | \n",
" start_time | \n",
" lobby_type | \n",
" r1_hero | \n",
" r1_level | \n",
" r1_xp | \n",
" r1_gold | \n",
" r1_lh | \n",
" r1_kills | \n",
" r1_deaths | \n",
" r1_items | \n",
" r2_hero | \n",
" r2_level | \n",
" r2_xp | \n",
" r2_gold | \n",
" r2_lh | \n",
" r2_kills | \n",
" r2_deaths | \n",
" r2_items | \n",
" r3_hero | \n",
" r3_level | \n",
" r3_xp | \n",
" r3_gold | \n",
" r3_lh | \n",
" r3_kills | \n",
" r3_deaths | \n",
" r3_items | \n",
" r4_hero | \n",
" r4_level | \n",
" r4_xp | \n",
" r4_gold | \n",
" r4_lh | \n",
" r4_kills | \n",
" r4_deaths | \n",
" r4_items | \n",
" r5_hero | \n",
" r5_level | \n",
" r5_xp | \n",
" r5_gold | \n",
" r5_lh | \n",
" r5_kills | \n",
" r5_deaths | \n",
" r5_items | \n",
" d1_hero | \n",
" d1_level | \n",
" d1_xp | \n",
" d1_gold | \n",
" d1_lh | \n",
" d1_kills | \n",
" d1_deaths | \n",
" d1_items | \n",
" d2_hero | \n",
" d2_level | \n",
" d2_xp | \n",
" d2_gold | \n",
" d2_lh | \n",
" d2_kills | \n",
" d2_deaths | \n",
" d2_items | \n",
" d3_hero | \n",
" d3_level | \n",
" d3_xp | \n",
" d3_gold | \n",
" d3_lh | \n",
" d3_kills | \n",
" d3_deaths | \n",
" d3_items | \n",
" d4_hero | \n",
" d4_level | \n",
" d4_xp | \n",
" d4_gold | \n",
" d4_lh | \n",
" d4_kills | \n",
" d4_deaths | \n",
" d4_items | \n",
" d5_hero | \n",
" d5_level | \n",
" d5_xp | \n",
" d5_gold | \n",
" d5_lh | \n",
" d5_kills | \n",
" d5_deaths | \n",
" d5_items | \n",
" first_blood_time | \n",
" first_blood_team | \n",
" first_blood_player1 | \n",
" first_blood_player2 | \n",
" radiant_bottle_time | \n",
" radiant_courier_time | \n",
" radiant_flying_courier_time | \n",
" radiant_tpscroll_count | \n",
" radiant_boots_count | \n",
" radiant_ward_observer_count | \n",
" radiant_ward_sentry_count | \n",
" radiant_first_ward_time | \n",
" dire_bottle_time | \n",
" dire_courier_time | \n",
" dire_flying_courier_time | \n",
" dire_tpscroll_count | \n",
" dire_boots_count | \n",
" dire_ward_observer_count | \n",
" dire_ward_sentry_count | \n",
" dire_first_ward_time | \n",
" duration | \n",
" radiant_win | \n",
" tower_status_radiant | \n",
" tower_status_dire | \n",
" barracks_status_radiant | \n",
" barracks_status_dire | \n",
"
\n",
" \n",
" \n",
" \n",
" count | \n",
" 9.723000e+04 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 77677.000000 | \n",
" 77677.000000 | \n",
" 77677.000000 | \n",
" 53243.000000 | \n",
" 81539.000000 | \n",
" 96538.000000 | \n",
" 69751.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 95394.000000 | \n",
" 81087.000000 | \n",
" 96554.000000 | \n",
" 71132.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 95404.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
" 97230.000000 | \n",
"
\n",
" \n",
" mean | \n",
" 1.444232e+09 | \n",
" 2.630999 | \n",
" 51.517104 | \n",
" 3.442672 | \n",
" 1233.405801 | \n",
" 1147.899702 | \n",
" 11.231996 | \n",
" 0.357009 | \n",
" 0.362285 | \n",
" 8.271315 | \n",
" 52.183452 | \n",
" 3.364661 | \n",
" 1189.223676 | \n",
" 1107.863993 | \n",
" 10.471747 | \n",
" 0.348709 | \n",
" 0.363550 | \n",
" 8.275584 | \n",
" 52.710491 | \n",
" 3.353924 | \n",
" 1182.879965 | \n",
" 1099.643742 | \n",
" 10.333004 | \n",
" 0.342723 | \n",
" 0.357338 | \n",
" 8.273527 | \n",
" 52.648092 | \n",
" 3.308896 | \n",
" 1159.088481 | \n",
" 1082.090240 | \n",
" 9.981909 | \n",
" 0.337746 | \n",
" 0.357307 | \n",
" 8.275049 | \n",
" 52.625630 | \n",
" 3.304237 | \n",
" 1158.586167 | \n",
" 1082.057061 | \n",
" 9.995351 | \n",
" 0.337262 | \n",
" 0.352782 | \n",
" 8.288491 | \n",
" 51.990106 | \n",
" 3.461123 | \n",
" 1238.855765 | \n",
" 1151.018184 | \n",
" 11.253841 | \n",
" 0.372262 | \n",
" 0.344091 | \n",
" 8.296380 | \n",
" 52.708547 | \n",
" 3.388933 | \n",
" 1199.858809 | \n",
" 1108.633436 | \n",
" 10.460424 | \n",
" 0.356238 | \n",
" 0.347012 | \n",
" 8.310419 | \n",
" 52.755137 | \n",
" 3.378638 | \n",
" 1193.554438 | \n",
" 1103.273702 | \n",
" 10.386918 | \n",
" 0.353533 | \n",
" 0.347732 | \n",
" 8.305420 | \n",
" 52.922421 | \n",
" 3.337725 | \n",
" 1171.952155 | \n",
" 1088.711653 | \n",
" 10.035349 | \n",
" 0.354952 | \n",
" 0.341860 | \n",
" 8.319665 | \n",
" 53.059694 | \n",
" 3.345274 | \n",
" 1177.395351 | \n",
" 1089.558850 | \n",
" 10.053739 | \n",
" 0.356063 | \n",
" 0.342538 | \n",
" 8.323048 | \n",
" 97.688029 | \n",
" 0.521815 | \n",
" 4.593483 | \n",
" 4.383224 | \n",
" 126.800255 | \n",
" -80.059510 | \n",
" 215.987126 | \n",
" 2.994775 | \n",
" 3.312527 | \n",
" 2.431719 | \n",
" 0.716250 | \n",
" -6.875747 | \n",
" 127.215028 | \n",
" -80.191893 | \n",
" 214.870536 | \n",
" 2.965566 | \n",
" 3.349553 | \n",
" 2.448339 | \n",
" 0.689119 | \n",
" -6.901922 | \n",
" 2332.247886 | \n",
" 0.518503 | \n",
" 1309.227790 | \n",
" 1286.310820 | \n",
" 40.599095 | \n",
" 41.337036 | \n",
"
\n",
" \n",
" std | \n",
" 5.515393e+06 | \n",
" 2.835761 | \n",
" 32.564211 | \n",
" 1.111741 | \n",
" 566.588895 | \n",
" 464.111662 | \n",
" 9.041620 | \n",
" 0.663889 | \n",
" 0.626704 | \n",
" 2.497575 | \n",
" 32.674077 | \n",
" 1.097536 | \n",
" 555.363510 | \n",
" 458.001007 | \n",
" 8.972073 | \n",
" 0.654060 | \n",
" 0.624236 | \n",
" 2.433864 | \n",
" 32.560923 | \n",
" 1.092126 | \n",
" 554.899600 | \n",
" 454.727127 | \n",
" 8.950871 | \n",
" 0.647774 | \n",
" 0.618071 | \n",
" 2.440139 | \n",
" 32.670519 | \n",
" 1.092502 | \n",
" 550.937530 | \n",
" 450.353291 | \n",
" 8.917997 | \n",
" 0.642908 | \n",
" 0.616181 | \n",
" 2.427832 | \n",
" 32.608231 | \n",
" 1.095842 | \n",
" 553.020429 | \n",
" 453.165214 | \n",
" 8.948413 | \n",
" 0.643538 | \n",
" 0.614965 | \n",
" 2.430826 | \n",
" 32.442153 | \n",
" 1.104905 | \n",
" 560.550962 | \n",
" 459.111207 | \n",
" 9.007098 | \n",
" 0.678321 | \n",
" 0.609487 | \n",
" 2.472106 | \n",
" 32.500960 | \n",
" 1.088991 | \n",
" 551.118181 | \n",
" 450.268322 | \n",
" 8.889886 | \n",
" 0.659384 | \n",
" 0.608894 | \n",
" 2.428835 | \n",
" 32.421325 | \n",
" 1.088969 | \n",
" 550.704105 | \n",
" 450.015146 | \n",
" 8.901528 | \n",
" 0.656819 | \n",
" 0.608922 | \n",
" 2.434323 | \n",
" 32.460902 | \n",
" 1.085221 | \n",
" 547.308063 | \n",
" 448.416794 | \n",
" 8.872503 | \n",
" 0.658713 | \n",
" 0.602357 | \n",
" 2.427417 | \n",
" 32.535112 | \n",
" 1.091848 | \n",
" 550.887551 | \n",
" 449.877513 | \n",
" 8.882013 | \n",
" 0.659190 | \n",
" 0.605956 | \n",
" 2.432850 | \n",
" 82.625879 | \n",
" 0.499527 | \n",
" 2.886984 | \n",
" 2.870915 | \n",
" 61.427907 | \n",
" 15.814209 | \n",
" 34.604997 | \n",
" 1.933283 | \n",
" 1.154414 | \n",
" 0.811435 | \n",
" 0.725331 | \n",
" 39.508650 | \n",
" 62.442018 | \n",
" 15.261950 | \n",
" 34.137158 | \n",
" 1.907288 | \n",
" 1.155609 | \n",
" 0.813459 | \n",
" 0.710122 | \n",
" 40.701397 | \n",
" 715.806850 | \n",
" 0.499660 | \n",
" 853.921365 | \n",
" 851.009148 | \n",
" 27.871645 | \n",
" 27.064873 | \n",
"
\n",
" \n",
" min | \n",
" 1.430199e+09 | \n",
" 0.000000 | \n",
" 1.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 1.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 1.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 1.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 1.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 1.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 1.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 1.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 1.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 1.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" -78.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" -37.000000 | \n",
" -90.000000 | \n",
" 180.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" -236.000000 | \n",
" -45.000000 | \n",
" -90.000000 | \n",
" 180.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" -84.000000 | \n",
" 900.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
"
\n",
" \n",
" 25% | \n",
" 1.440815e+09 | \n",
" 1.000000 | \n",
" 22.000000 | \n",
" 3.000000 | \n",
" 767.000000 | \n",
" 746.000000 | \n",
" 2.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 7.000000 | \n",
" 25.000000 | \n",
" 3.000000 | \n",
" 740.000000 | \n",
" 708.000000 | \n",
" 2.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 7.000000 | \n",
" 25.000000 | \n",
" 3.000000 | \n",
" 736.000000 | \n",
" 705.000000 | \n",
" 2.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 7.000000 | \n",
" 25.000000 | \n",
" 3.000000 | \n",
" 716.000000 | \n",
" 692.000000 | \n",
" 2.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 7.000000 | \n",
" 25.000000 | \n",
" 3.000000 | \n",
" 717.000000 | \n",
" 690.000000 | \n",
" 2.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 7.000000 | \n",
" 23.000000 | \n",
" 3.000000 | \n",
" 779.000000 | \n",
" 757.000000 | \n",
" 2.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 7.000000 | \n",
" 25.000000 | \n",
" 3.000000 | \n",
" 755.000000 | \n",
" 718.000000 | \n",
" 2.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 7.000000 | \n",
" 25.000000 | \n",
" 3.000000 | \n",
" 750.000000 | \n",
" 712.000000 | \n",
" 2.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 7.000000 | \n",
" 25.000000 | \n",
" 3.000000 | \n",
" 733.000000 | \n",
" 701.000000 | \n",
" 2.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 7.000000 | \n",
" 25.000000 | \n",
" 3.000000 | \n",
" 735.000000 | \n",
" 701.000000 | \n",
" 2.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 7.000000 | \n",
" 15.000000 | \n",
" 0.000000 | \n",
" 2.000000 | \n",
" 2.000000 | \n",
" 84.000000 | \n",
" -86.000000 | \n",
" 186.000000 | \n",
" 2.000000 | \n",
" 3.000000 | \n",
" 2.000000 | \n",
" 0.000000 | \n",
" -31.000000 | \n",
" 83.000000 | \n",
" -86.000000 | \n",
" 185.000000 | \n",
" 2.000000 | \n",
" 3.000000 | \n",
" 2.000000 | \n",
" 0.000000 | \n",
" -31.000000 | \n",
" 1818.000000 | \n",
" 0.000000 | \n",
" 36.000000 | \n",
" 256.000000 | \n",
" 3.000000 | \n",
" 3.000000 | \n",
"
\n",
" \n",
" 50% | \n",
" 1.446338e+09 | \n",
" 1.000000 | \n",
" 50.000000 | \n",
" 3.000000 | \n",
" 1175.000000 | \n",
" 1113.000000 | \n",
" 11.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 8.000000 | \n",
" 50.000000 | \n",
" 3.000000 | \n",
" 1109.000000 | \n",
" 1054.000000 | \n",
" 9.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 8.000000 | \n",
" 51.000000 | \n",
" 3.000000 | \n",
" 1101.000000 | \n",
" 1040.000000 | \n",
" 9.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 8.000000 | \n",
" 51.000000 | \n",
" 3.000000 | \n",
" 1066.000000 | \n",
" 1017.000000 | \n",
" 8.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 8.000000 | \n",
" 51.000000 | \n",
" 3.000000 | \n",
" 1063.000000 | \n",
" 1012.000000 | \n",
" 8.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 8.000000 | \n",
" 50.000000 | \n",
" 3.000000 | \n",
" 1191.000000 | \n",
" 1121.000000 | \n",
" 11.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 8.000000 | \n",
" 51.000000 | \n",
" 3.000000 | \n",
" 1131.000000 | \n",
" 1059.000000 | \n",
" 9.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 8.000000 | \n",
" 51.000000 | \n",
" 3.000000 | \n",
" 1121.000000 | \n",
" 1051.000000 | \n",
" 9.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 8.000000 | \n",
" 51.000000 | \n",
" 3.000000 | \n",
" 1092.000000 | \n",
" 1028.000000 | \n",
" 8.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 8.000000 | \n",
" 51.000000 | \n",
" 3.000000 | \n",
" 1096.000000 | \n",
" 1027.000000 | \n",
" 8.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 8.000000 | \n",
" 93.000000 | \n",
" 1.000000 | \n",
" 5.000000 | \n",
" 4.000000 | \n",
" 131.000000 | \n",
" -83.000000 | \n",
" 204.000000 | \n",
" 3.000000 | \n",
" 3.000000 | \n",
" 2.000000 | \n",
" 1.000000 | \n",
" -15.000000 | \n",
" 131.000000 | \n",
" -84.000000 | \n",
" 203.000000 | \n",
" 3.000000 | \n",
" 3.000000 | \n",
" 2.000000 | \n",
" 1.000000 | \n",
" -16.000000 | \n",
" 2268.000000 | \n",
" 1.000000 | \n",
" 1824.000000 | \n",
" 1798.000000 | \n",
" 63.000000 | \n",
" 60.000000 | \n",
"
\n",
" \n",
" 75% | \n",
" 1.448829e+09 | \n",
" 7.000000 | \n",
" 75.000000 | \n",
" 4.000000 | \n",
" 1704.000000 | \n",
" 1479.000000 | \n",
" 19.000000 | \n",
" 1.000000 | \n",
" 1.000000 | \n",
" 10.000000 | \n",
" 75.000000 | \n",
" 4.000000 | \n",
" 1641.000000 | \n",
" 1434.000000 | \n",
" 18.000000 | \n",
" 1.000000 | \n",
" 1.000000 | \n",
" 10.000000 | \n",
" 76.000000 | \n",
" 4.000000 | \n",
" 1628.000000 | \n",
" 1424.000000 | \n",
" 18.000000 | \n",
" 1.000000 | \n",
" 1.000000 | \n",
" 10.000000 | \n",
" 78.000000 | \n",
" 4.000000 | \n",
" 1594.000000 | \n",
" 1404.000000 | \n",
" 17.000000 | \n",
" 1.000000 | \n",
" 1.000000 | \n",
" 10.000000 | \n",
" 76.000000 | \n",
" 4.000000 | \n",
" 1594.000000 | \n",
" 1404.000000 | \n",
" 17.000000 | \n",
" 1.000000 | \n",
" 1.000000 | \n",
" 10.000000 | \n",
" 75.000000 | \n",
" 4.000000 | \n",
" 1702.000000 | \n",
" 1477.000000 | \n",
" 19.000000 | \n",
" 1.000000 | \n",
" 1.000000 | \n",
" 10.000000 | \n",
" 76.000000 | \n",
" 4.000000 | \n",
" 1643.000000 | \n",
" 1430.000000 | \n",
" 18.000000 | \n",
" 1.000000 | \n",
" 1.000000 | \n",
" 10.000000 | \n",
" 75.000000 | \n",
" 4.000000 | \n",
" 1637.000000 | \n",
" 1424.000000 | \n",
" 18.000000 | \n",
" 1.000000 | \n",
" 1.000000 | \n",
" 10.000000 | \n",
" 76.000000 | \n",
" 4.000000 | \n",
" 1604.000000 | \n",
" 1409.000000 | \n",
" 17.000000 | \n",
" 1.000000 | \n",
" 1.000000 | \n",
" 10.000000 | \n",
" 78.000000 | \n",
" 4.000000 | \n",
" 1615.000000 | \n",
" 1409.000000 | \n",
" 17.000000 | \n",
" 1.000000 | \n",
" 1.000000 | \n",
" 10.000000 | \n",
" 155.000000 | \n",
" 1.000000 | \n",
" 7.000000 | \n",
" 7.000000 | \n",
" 164.000000 | \n",
" -79.000000 | \n",
" 241.000000 | \n",
" 4.000000 | \n",
" 4.000000 | \n",
" 3.000000 | \n",
" 1.000000 | \n",
" 9.000000 | \n",
" 165.000000 | \n",
" -79.000000 | \n",
" 238.000000 | \n",
" 4.000000 | \n",
" 4.000000 | \n",
" 3.000000 | \n",
" 1.000000 | \n",
" 8.000000 | \n",
" 2778.000000 | \n",
" 1.000000 | \n",
" 1974.000000 | \n",
" 1974.000000 | \n",
" 63.000000 | \n",
" 63.000000 | \n",
"
\n",
" \n",
" max | \n",
" 1.450313e+09 | \n",
" 7.000000 | \n",
" 112.000000 | \n",
" 6.000000 | \n",
" 3319.000000 | \n",
" 4332.000000 | \n",
" 47.000000 | \n",
" 8.000000 | \n",
" 5.000000 | \n",
" 34.000000 | \n",
" 112.000000 | \n",
" 6.000000 | \n",
" 3234.000000 | \n",
" 4136.000000 | \n",
" 44.000000 | \n",
" 8.000000 | \n",
" 6.000000 | \n",
" 33.000000 | \n",
" 112.000000 | \n",
" 7.000000 | \n",
" 3115.000000 | \n",
" 3740.000000 | \n",
" 51.000000 | \n",
" 8.000000 | \n",
" 6.000000 | \n",
" 83.000000 | \n",
" 112.000000 | \n",
" 7.000000 | \n",
" 3308.000000 | \n",
" 3782.000000 | \n",
" 50.000000 | \n",
" 8.000000 | \n",
" 8.000000 | \n",
" 33.000000 | \n",
" 112.000000 | \n",
" 6.000000 | \n",
" 3224.000000 | \n",
" 3840.000000 | \n",
" 45.000000 | \n",
" 7.000000 | \n",
" 6.000000 | \n",
" 23.000000 | \n",
" 112.000000 | \n",
" 7.000000 | \n",
" 3457.000000 | \n",
" 4734.000000 | \n",
" 45.000000 | \n",
" 7.000000 | \n",
" 6.000000 | \n",
" 26.000000 | \n",
" 112.000000 | \n",
" 7.000000 | \n",
" 3371.000000 | \n",
" 3764.000000 | \n",
" 45.000000 | \n",
" 8.000000 | \n",
" 6.000000 | \n",
" 24.000000 | \n",
" 112.000000 | \n",
" 7.000000 | \n",
" 3208.000000 | \n",
" 3446.000000 | \n",
" 46.000000 | \n",
" 8.000000 | \n",
" 5.000000 | \n",
" 29.000000 | \n",
" 112.000000 | \n",
" 7.000000 | \n",
" 3133.000000 | \n",
" 3661.000000 | \n",
" 46.000000 | \n",
" 8.000000 | \n",
" 5.000000 | \n",
" 31.000000 | \n",
" 112.000000 | \n",
" 7.000000 | \n",
" 3525.000000 | \n",
" 4788.000000 | \n",
" 50.000000 | \n",
" 9.000000 | \n",
" 7.000000 | \n",
" 25.000000 | \n",
" 300.000000 | \n",
" 1.000000 | \n",
" 9.000000 | \n",
" 9.000000 | \n",
" 300.000000 | \n",
" 300.000000 | \n",
" 300.000000 | \n",
" 81.000000 | \n",
" 8.000000 | \n",
" 10.000000 | \n",
" 25.000000 | \n",
" 300.000000 | \n",
" 300.000000 | \n",
" 296.000000 | \n",
" 300.000000 | \n",
" 21.000000 | \n",
" 9.000000 | \n",
" 9.000000 | \n",
" 13.000000 | \n",
" 300.000000 | \n",
" 8452.000000 | \n",
" 1.000000 | \n",
" 2047.000000 | \n",
" 2047.000000 | \n",
" 63.000000 | \n",
" 63.000000 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" start_time lobby_type r1_hero r1_level r1_xp \\\n",
"count 9.723000e+04 97230.000000 97230.000000 97230.000000 97230.000000 \n",
"mean 1.444232e+09 2.630999 51.517104 3.442672 1233.405801 \n",
"std 5.515393e+06 2.835761 32.564211 1.111741 566.588895 \n",
"min 1.430199e+09 0.000000 1.000000 0.000000 0.000000 \n",
"25% 1.440815e+09 1.000000 22.000000 3.000000 767.000000 \n",
"50% 1.446338e+09 1.000000 50.000000 3.000000 1175.000000 \n",
"75% 1.448829e+09 7.000000 75.000000 4.000000 1704.000000 \n",
"max 1.450313e+09 7.000000 112.000000 6.000000 3319.000000 \n",
"\n",
" r1_gold r1_lh r1_kills r1_deaths r1_items \\\n",
"count 97230.000000 97230.000000 97230.000000 97230.000000 97230.000000 \n",
"mean 1147.899702 11.231996 0.357009 0.362285 8.271315 \n",
"std 464.111662 9.041620 0.663889 0.626704 2.497575 \n",
"min 0.000000 0.000000 0.000000 0.000000 0.000000 \n",
"25% 746.000000 2.000000 0.000000 0.000000 7.000000 \n",
"50% 1113.000000 11.000000 0.000000 0.000000 8.000000 \n",
"75% 1479.000000 19.000000 1.000000 1.000000 10.000000 \n",
"max 4332.000000 47.000000 8.000000 5.000000 34.000000 \n",
"\n",
" r2_hero r2_level r2_xp r2_gold r2_lh \\\n",
"count 97230.000000 97230.000000 97230.000000 97230.000000 97230.000000 \n",
"mean 52.183452 3.364661 1189.223676 1107.863993 10.471747 \n",
"std 32.674077 1.097536 555.363510 458.001007 8.972073 \n",
"min 1.000000 0.000000 0.000000 0.000000 0.000000 \n",
"25% 25.000000 3.000000 740.000000 708.000000 2.000000 \n",
"50% 50.000000 3.000000 1109.000000 1054.000000 9.000000 \n",
"75% 75.000000 4.000000 1641.000000 1434.000000 18.000000 \n",
"max 112.000000 6.000000 3234.000000 4136.000000 44.000000 \n",
"\n",
" r2_kills r2_deaths r2_items r3_hero r3_level \\\n",
"count 97230.000000 97230.000000 97230.000000 97230.000000 97230.000000 \n",
"mean 0.348709 0.363550 8.275584 52.710491 3.353924 \n",
"std 0.654060 0.624236 2.433864 32.560923 1.092126 \n",
"min 0.000000 0.000000 0.000000 1.000000 0.000000 \n",
"25% 0.000000 0.000000 7.000000 25.000000 3.000000 \n",
"50% 0.000000 0.000000 8.000000 51.000000 3.000000 \n",
"75% 1.000000 1.000000 10.000000 76.000000 4.000000 \n",
"max 8.000000 6.000000 33.000000 112.000000 7.000000 \n",
"\n",
" r3_xp r3_gold r3_lh r3_kills r3_deaths \\\n",
"count 97230.000000 97230.000000 97230.000000 97230.000000 97230.000000 \n",
"mean 1182.879965 1099.643742 10.333004 0.342723 0.357338 \n",
"std 554.899600 454.727127 8.950871 0.647774 0.618071 \n",
"min 0.000000 0.000000 0.000000 0.000000 0.000000 \n",
"25% 736.000000 705.000000 2.000000 0.000000 0.000000 \n",
"50% 1101.000000 1040.000000 9.000000 0.000000 0.000000 \n",
"75% 1628.000000 1424.000000 18.000000 1.000000 1.000000 \n",
"max 3115.000000 3740.000000 51.000000 8.000000 6.000000 \n",
"\n",
" r3_items r4_hero r4_level r4_xp r4_gold \\\n",
"count 97230.000000 97230.000000 97230.000000 97230.000000 97230.000000 \n",
"mean 8.273527 52.648092 3.308896 1159.088481 1082.090240 \n",
"std 2.440139 32.670519 1.092502 550.937530 450.353291 \n",
"min 0.000000 1.000000 0.000000 0.000000 0.000000 \n",
"25% 7.000000 25.000000 3.000000 716.000000 692.000000 \n",
"50% 8.000000 51.000000 3.000000 1066.000000 1017.000000 \n",
"75% 10.000000 78.000000 4.000000 1594.000000 1404.000000 \n",
"max 83.000000 112.000000 7.000000 3308.000000 3782.000000 \n",
"\n",
" r4_lh r4_kills r4_deaths r4_items r5_hero \\\n",
"count 97230.000000 97230.000000 97230.000000 97230.000000 97230.000000 \n",
"mean 9.981909 0.337746 0.357307 8.275049 52.625630 \n",
"std 8.917997 0.642908 0.616181 2.427832 32.608231 \n",
"min 0.000000 0.000000 0.000000 0.000000 1.000000 \n",
"25% 2.000000 0.000000 0.000000 7.000000 25.000000 \n",
"50% 8.000000 0.000000 0.000000 8.000000 51.000000 \n",
"75% 17.000000 1.000000 1.000000 10.000000 76.000000 \n",
"max 50.000000 8.000000 8.000000 33.000000 112.000000 \n",
"\n",
" r5_level r5_xp r5_gold r5_lh r5_kills \\\n",
"count 97230.000000 97230.000000 97230.000000 97230.000000 97230.000000 \n",
"mean 3.304237 1158.586167 1082.057061 9.995351 0.337262 \n",
"std 1.095842 553.020429 453.165214 8.948413 0.643538 \n",
"min 0.000000 0.000000 0.000000 0.000000 0.000000 \n",
"25% 3.000000 717.000000 690.000000 2.000000 0.000000 \n",
"50% 3.000000 1063.000000 1012.000000 8.000000 0.000000 \n",
"75% 4.000000 1594.000000 1404.000000 17.000000 1.000000 \n",
"max 6.000000 3224.000000 3840.000000 45.000000 7.000000 \n",
"\n",
" r5_deaths r5_items d1_hero d1_level d1_xp \\\n",
"count 97230.000000 97230.000000 97230.000000 97230.000000 97230.000000 \n",
"mean 0.352782 8.288491 51.990106 3.461123 1238.855765 \n",
"std 0.614965 2.430826 32.442153 1.104905 560.550962 \n",
"min 0.000000 0.000000 1.000000 0.000000 0.000000 \n",
"25% 0.000000 7.000000 23.000000 3.000000 779.000000 \n",
"50% 0.000000 8.000000 50.000000 3.000000 1191.000000 \n",
"75% 1.000000 10.000000 75.000000 4.000000 1702.000000 \n",
"max 6.000000 23.000000 112.000000 7.000000 3457.000000 \n",
"\n",
" d1_gold d1_lh d1_kills d1_deaths d1_items \\\n",
"count 97230.000000 97230.000000 97230.000000 97230.000000 97230.000000 \n",
"mean 1151.018184 11.253841 0.372262 0.344091 8.296380 \n",
"std 459.111207 9.007098 0.678321 0.609487 2.472106 \n",
"min 0.000000 0.000000 0.000000 0.000000 0.000000 \n",
"25% 757.000000 2.000000 0.000000 0.000000 7.000000 \n",
"50% 1121.000000 11.000000 0.000000 0.000000 8.000000 \n",
"75% 1477.000000 19.000000 1.000000 1.000000 10.000000 \n",
"max 4734.000000 45.000000 7.000000 6.000000 26.000000 \n",
"\n",
" d2_hero d2_level d2_xp d2_gold d2_lh \\\n",
"count 97230.000000 97230.000000 97230.000000 97230.000000 97230.000000 \n",
"mean 52.708547 3.388933 1199.858809 1108.633436 10.460424 \n",
"std 32.500960 1.088991 551.118181 450.268322 8.889886 \n",
"min 1.000000 0.000000 0.000000 0.000000 0.000000 \n",
"25% 25.000000 3.000000 755.000000 718.000000 2.000000 \n",
"50% 51.000000 3.000000 1131.000000 1059.000000 9.000000 \n",
"75% 76.000000 4.000000 1643.000000 1430.000000 18.000000 \n",
"max 112.000000 7.000000 3371.000000 3764.000000 45.000000 \n",
"\n",
" d2_kills d2_deaths d2_items d3_hero d3_level \\\n",
"count 97230.000000 97230.000000 97230.000000 97230.000000 97230.000000 \n",
"mean 0.356238 0.347012 8.310419 52.755137 3.378638 \n",
"std 0.659384 0.608894 2.428835 32.421325 1.088969 \n",
"min 0.000000 0.000000 0.000000 1.000000 0.000000 \n",
"25% 0.000000 0.000000 7.000000 25.000000 3.000000 \n",
"50% 0.000000 0.000000 8.000000 51.000000 3.000000 \n",
"75% 1.000000 1.000000 10.000000 75.000000 4.000000 \n",
"max 8.000000 6.000000 24.000000 112.000000 7.000000 \n",
"\n",
" d3_xp d3_gold d3_lh d3_kills d3_deaths \\\n",
"count 97230.000000 97230.000000 97230.000000 97230.000000 97230.000000 \n",
"mean 1193.554438 1103.273702 10.386918 0.353533 0.347732 \n",
"std 550.704105 450.015146 8.901528 0.656819 0.608922 \n",
"min 0.000000 0.000000 0.000000 0.000000 0.000000 \n",
"25% 750.000000 712.000000 2.000000 0.000000 0.000000 \n",
"50% 1121.000000 1051.000000 9.000000 0.000000 0.000000 \n",
"75% 1637.000000 1424.000000 18.000000 1.000000 1.000000 \n",
"max 3208.000000 3446.000000 46.000000 8.000000 5.000000 \n",
"\n",
" d3_items d4_hero d4_level d4_xp d4_gold \\\n",
"count 97230.000000 97230.000000 97230.000000 97230.000000 97230.000000 \n",
"mean 8.305420 52.922421 3.337725 1171.952155 1088.711653 \n",
"std 2.434323 32.460902 1.085221 547.308063 448.416794 \n",
"min 0.000000 1.000000 0.000000 0.000000 0.000000 \n",
"25% 7.000000 25.000000 3.000000 733.000000 701.000000 \n",
"50% 8.000000 51.000000 3.000000 1092.000000 1028.000000 \n",
"75% 10.000000 76.000000 4.000000 1604.000000 1409.000000 \n",
"max 29.000000 112.000000 7.000000 3133.000000 3661.000000 \n",
"\n",
" d4_lh d4_kills d4_deaths d4_items d5_hero \\\n",
"count 97230.000000 97230.000000 97230.000000 97230.000000 97230.000000 \n",
"mean 10.035349 0.354952 0.341860 8.319665 53.059694 \n",
"std 8.872503 0.658713 0.602357 2.427417 32.535112 \n",
"min 0.000000 0.000000 0.000000 0.000000 1.000000 \n",
"25% 2.000000 0.000000 0.000000 7.000000 25.000000 \n",
"50% 8.000000 0.000000 0.000000 8.000000 51.000000 \n",
"75% 17.000000 1.000000 1.000000 10.000000 78.000000 \n",
"max 46.000000 8.000000 5.000000 31.000000 112.000000 \n",
"\n",
" d5_level d5_xp d5_gold d5_lh d5_kills \\\n",
"count 97230.000000 97230.000000 97230.000000 97230.000000 97230.000000 \n",
"mean 3.345274 1177.395351 1089.558850 10.053739 0.356063 \n",
"std 1.091848 550.887551 449.877513 8.882013 0.659190 \n",
"min 0.000000 0.000000 0.000000 0.000000 0.000000 \n",
"25% 3.000000 735.000000 701.000000 2.000000 0.000000 \n",
"50% 3.000000 1096.000000 1027.000000 8.000000 0.000000 \n",
"75% 4.000000 1615.000000 1409.000000 17.000000 1.000000 \n",
"max 7.000000 3525.000000 4788.000000 50.000000 9.000000 \n",
"\n",
" d5_deaths d5_items first_blood_time first_blood_team \\\n",
"count 97230.000000 97230.000000 77677.000000 77677.000000 \n",
"mean 0.342538 8.323048 97.688029 0.521815 \n",
"std 0.605956 2.432850 82.625879 0.499527 \n",
"min 0.000000 0.000000 -78.000000 0.000000 \n",
"25% 0.000000 7.000000 15.000000 0.000000 \n",
"50% 0.000000 8.000000 93.000000 1.000000 \n",
"75% 1.000000 10.000000 155.000000 1.000000 \n",
"max 7.000000 25.000000 300.000000 1.000000 \n",
"\n",
" first_blood_player1 first_blood_player2 radiant_bottle_time \\\n",
"count 77677.000000 53243.000000 81539.000000 \n",
"mean 4.593483 4.383224 126.800255 \n",
"std 2.886984 2.870915 61.427907 \n",
"min 0.000000 0.000000 -37.000000 \n",
"25% 2.000000 2.000000 84.000000 \n",
"50% 5.000000 4.000000 131.000000 \n",
"75% 7.000000 7.000000 164.000000 \n",
"max 9.000000 9.000000 300.000000 \n",
"\n",
" radiant_courier_time radiant_flying_courier_time \\\n",
"count 96538.000000 69751.000000 \n",
"mean -80.059510 215.987126 \n",
"std 15.814209 34.604997 \n",
"min -90.000000 180.000000 \n",
"25% -86.000000 186.000000 \n",
"50% -83.000000 204.000000 \n",
"75% -79.000000 241.000000 \n",
"max 300.000000 300.000000 \n",
"\n",
" radiant_tpscroll_count radiant_boots_count \\\n",
"count 97230.000000 97230.000000 \n",
"mean 2.994775 3.312527 \n",
"std 1.933283 1.154414 \n",
"min 0.000000 0.000000 \n",
"25% 2.000000 3.000000 \n",
"50% 3.000000 3.000000 \n",
"75% 4.000000 4.000000 \n",
"max 81.000000 8.000000 \n",
"\n",
" radiant_ward_observer_count radiant_ward_sentry_count \\\n",
"count 97230.000000 97230.000000 \n",
"mean 2.431719 0.716250 \n",
"std 0.811435 0.725331 \n",
"min 0.000000 0.000000 \n",
"25% 2.000000 0.000000 \n",
"50% 2.000000 1.000000 \n",
"75% 3.000000 1.000000 \n",
"max 10.000000 25.000000 \n",
"\n",
" radiant_first_ward_time dire_bottle_time dire_courier_time \\\n",
"count 95394.000000 81087.000000 96554.000000 \n",
"mean -6.875747 127.215028 -80.191893 \n",
"std 39.508650 62.442018 15.261950 \n",
"min -236.000000 -45.000000 -90.000000 \n",
"25% -31.000000 83.000000 -86.000000 \n",
"50% -15.000000 131.000000 -84.000000 \n",
"75% 9.000000 165.000000 -79.000000 \n",
"max 300.000000 300.000000 296.000000 \n",
"\n",
" dire_flying_courier_time dire_tpscroll_count dire_boots_count \\\n",
"count 71132.000000 97230.000000 97230.000000 \n",
"mean 214.870536 2.965566 3.349553 \n",
"std 34.137158 1.907288 1.155609 \n",
"min 180.000000 0.000000 0.000000 \n",
"25% 185.000000 2.000000 3.000000 \n",
"50% 203.000000 3.000000 3.000000 \n",
"75% 238.000000 4.000000 4.000000 \n",
"max 300.000000 21.000000 9.000000 \n",
"\n",
" dire_ward_observer_count dire_ward_sentry_count dire_first_ward_time \\\n",
"count 97230.000000 97230.000000 95404.000000 \n",
"mean 2.448339 0.689119 -6.901922 \n",
"std 0.813459 0.710122 40.701397 \n",
"min 0.000000 0.000000 -84.000000 \n",
"25% 2.000000 0.000000 -31.000000 \n",
"50% 2.000000 1.000000 -16.000000 \n",
"75% 3.000000 1.000000 8.000000 \n",
"max 9.000000 13.000000 300.000000 \n",
"\n",
" duration radiant_win tower_status_radiant tower_status_dire \\\n",
"count 97230.000000 97230.000000 97230.000000 97230.000000 \n",
"mean 2332.247886 0.518503 1309.227790 1286.310820 \n",
"std 715.806850 0.499660 853.921365 851.009148 \n",
"min 900.000000 0.000000 0.000000 0.000000 \n",
"25% 1818.000000 0.000000 36.000000 256.000000 \n",
"50% 2268.000000 1.000000 1824.000000 1798.000000 \n",
"75% 2778.000000 1.000000 1974.000000 1974.000000 \n",
"max 8452.000000 1.000000 2047.000000 2047.000000 \n",
"\n",
" barracks_status_radiant barracks_status_dire \n",
"count 97230.000000 97230.000000 \n",
"mean 40.599095 41.337036 \n",
"std 27.871645 27.064873 \n",
"min 0.000000 0.000000 \n",
"25% 3.000000 3.000000 \n",
"50% 63.000000 60.000000 \n",
"75% 63.000000 63.000000 \n",
"max 63.000000 63.000000 "
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.describe()"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Если внимательно посмотреть, то мы увидим что в данных есть пропуски - NaN значения.\n",
"\n",
"### Что делать с пропусками?\n",
"- удалить все строки с пропущенными данными\n",
"- заполнить пропуски 0\n",
"- заполнить пропуски совсем нехарактерными значениями (большое отрицательное число)\n",
"- заполнить пропуск средним, медианой\n",
"- заполнить пропуск средним в подгруппе по какому-то другому признаку\n",
"\n",
"Для начала посмотрим какие признаки имеют пропуски"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"text/plain": [
"['first_blood_time',\n",
" 'first_blood_team',\n",
" 'first_blood_player1',\n",
" 'first_blood_player2',\n",
" 'radiant_bottle_time',\n",
" 'radiant_courier_time',\n",
" 'radiant_flying_courier_time',\n",
" 'radiant_first_ward_time',\n",
" 'dire_bottle_time',\n",
" 'dire_courier_time',\n",
" 'dire_flying_courier_time',\n",
" 'dire_first_ward_time']"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"nan_features = [i for i, v in df.count().iteritems() if v < df.shape[0]]\n",
"nan_features"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"
\n",
" \n",
" \n",
" | \n",
" first_blood_time | \n",
" first_blood_team | \n",
" first_blood_player1 | \n",
" first_blood_player2 | \n",
" radiant_bottle_time | \n",
" radiant_courier_time | \n",
" radiant_flying_courier_time | \n",
" radiant_first_ward_time | \n",
" dire_bottle_time | \n",
" dire_courier_time | \n",
" dire_flying_courier_time | \n",
" dire_first_ward_time | \n",
"
\n",
" \n",
" \n",
" \n",
" count | \n",
" 77677.000000 | \n",
" 77677.000000 | \n",
" 77677.000000 | \n",
" 53243.000000 | \n",
" 81539.000000 | \n",
" 96538.000000 | \n",
" 69751.000000 | \n",
" 95394.000000 | \n",
" 81087.000000 | \n",
" 96554.000000 | \n",
" 71132.000000 | \n",
" 95404.000000 | \n",
"
\n",
" \n",
" mean | \n",
" 97.688029 | \n",
" 0.521815 | \n",
" 4.593483 | \n",
" 4.383224 | \n",
" 126.800255 | \n",
" -80.059510 | \n",
" 215.987126 | \n",
" -6.875747 | \n",
" 127.215028 | \n",
" -80.191893 | \n",
" 214.870536 | \n",
" -6.901922 | \n",
"
\n",
" \n",
" std | \n",
" 82.625879 | \n",
" 0.499527 | \n",
" 2.886984 | \n",
" 2.870915 | \n",
" 61.427907 | \n",
" 15.814209 | \n",
" 34.604997 | \n",
" 39.508650 | \n",
" 62.442018 | \n",
" 15.261950 | \n",
" 34.137158 | \n",
" 40.701397 | \n",
"
\n",
" \n",
" min | \n",
" -78.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" -37.000000 | \n",
" -90.000000 | \n",
" 180.000000 | \n",
" -236.000000 | \n",
" -45.000000 | \n",
" -90.000000 | \n",
" 180.000000 | \n",
" -84.000000 | \n",
"
\n",
" \n",
" 25% | \n",
" 15.000000 | \n",
" 0.000000 | \n",
" 2.000000 | \n",
" 2.000000 | \n",
" 84.000000 | \n",
" -86.000000 | \n",
" 186.000000 | \n",
" -31.000000 | \n",
" 83.000000 | \n",
" -86.000000 | \n",
" 185.000000 | \n",
" -31.000000 | \n",
"
\n",
" \n",
" 50% | \n",
" 93.000000 | \n",
" 1.000000 | \n",
" 5.000000 | \n",
" 4.000000 | \n",
" 131.000000 | \n",
" -83.000000 | \n",
" 204.000000 | \n",
" -15.000000 | \n",
" 131.000000 | \n",
" -84.000000 | \n",
" 203.000000 | \n",
" -16.000000 | \n",
"
\n",
" \n",
" 75% | \n",
" 155.000000 | \n",
" 1.000000 | \n",
" 7.000000 | \n",
" 7.000000 | \n",
" 164.000000 | \n",
" -79.000000 | \n",
" 241.000000 | \n",
" 9.000000 | \n",
" 165.000000 | \n",
" -79.000000 | \n",
" 238.000000 | \n",
" 8.000000 | \n",
"
\n",
" \n",
" max | \n",
" 300.000000 | \n",
" 1.000000 | \n",
" 9.000000 | \n",
" 9.000000 | \n",
" 300.000000 | \n",
" 300.000000 | \n",
" 300.000000 | \n",
" 300.000000 | \n",
" 300.000000 | \n",
" 296.000000 | \n",
" 300.000000 | \n",
" 300.000000 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" first_blood_time first_blood_team first_blood_player1 \\\n",
"count 77677.000000 77677.000000 77677.000000 \n",
"mean 97.688029 0.521815 4.593483 \n",
"std 82.625879 0.499527 2.886984 \n",
"min -78.000000 0.000000 0.000000 \n",
"25% 15.000000 0.000000 2.000000 \n",
"50% 93.000000 1.000000 5.000000 \n",
"75% 155.000000 1.000000 7.000000 \n",
"max 300.000000 1.000000 9.000000 \n",
"\n",
" first_blood_player2 radiant_bottle_time radiant_courier_time \\\n",
"count 53243.000000 81539.000000 96538.000000 \n",
"mean 4.383224 126.800255 -80.059510 \n",
"std 2.870915 61.427907 15.814209 \n",
"min 0.000000 -37.000000 -90.000000 \n",
"25% 2.000000 84.000000 -86.000000 \n",
"50% 4.000000 131.000000 -83.000000 \n",
"75% 7.000000 164.000000 -79.000000 \n",
"max 9.000000 300.000000 300.000000 \n",
"\n",
" radiant_flying_courier_time radiant_first_ward_time dire_bottle_time \\\n",
"count 69751.000000 95394.000000 81087.000000 \n",
"mean 215.987126 -6.875747 127.215028 \n",
"std 34.604997 39.508650 62.442018 \n",
"min 180.000000 -236.000000 -45.000000 \n",
"25% 186.000000 -31.000000 83.000000 \n",
"50% 204.000000 -15.000000 131.000000 \n",
"75% 241.000000 9.000000 165.000000 \n",
"max 300.000000 300.000000 300.000000 \n",
"\n",
" dire_courier_time dire_flying_courier_time dire_first_ward_time \n",
"count 96554.000000 71132.000000 95404.000000 \n",
"mean -80.191893 214.870536 -6.901922 \n",
"std 15.261950 34.137158 40.701397 \n",
"min -90.000000 180.000000 -84.000000 \n",
"25% -86.000000 185.000000 -31.000000 \n",
"50% -84.000000 203.000000 -16.000000 \n",
"75% -79.000000 238.000000 8.000000 \n",
"max 296.000000 300.000000 300.000000 "
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[nan_features].describe()"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Так как у нас есть только первые 5 минут игры, то некоторые характеристки еще не были заполнены. \n",
"Напрмимер, время покупки курьера или first blood.\n",
"\n",
"Интересные детали в данных:\n",
"- *_time бывает отрицательным. Это означает, что отсчет времени начала игры немного смещен. Там есть период времени для покупок товарами, распределения внутри команды и так далее. Вполне возмодно отрицательное время не стоит делать положительным. В нем может заключаться некоторый смысл.\n",
"- другие признаки категориальные и они распределены от 0 до N. Заполнять нулями на мой взгляд странно. Это может запутать алгоритм.\n",
"\n",
"Предлагаю время заполнить `max + std`\n",
"\n",
"Для категориальных признаков завести специальный номер"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def fill_na(df, nan_features):\n",
" times = [f for f in nan_features if f.find('time') != -1]\n",
" categorical = [f for f in nan_features if f.find('time') == -1]\n",
" \n",
" df[times] = df[times].fillna(301.0)\n",
" df[categorical] = df[categorical].fillna(-1)\n",
" return df\n",
" \n",
"fill_na(df, nan_features)\n",
"[i for i, v in df.count().iteritems() if v < df.shape[0]]"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def get_X(df):\n",
" return df.drop(['start_time', 'duration', 'radiant_win', 'tower_status_radiant', 'tower_status_dire','barracks_status_radiant', 'barracks_status_dire'], axis=1)\n",
"\n",
"def get_Y(df):\n",
" return df['radiant_win']"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"X = get_X(df)\n",
"y = get_Y(df)"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 74,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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LFy9m06ZNzJ49G4CCggLi8ThVVVXk5eV13t9AkiRJ6gRv7T/GMxuPv9f1E/MnMG54bsiL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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"support = np.linspace(0, 1, df.shape[0])\n",
"plt.plot(support, df['first_blood_time'].sort_values())"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Глупое предсказание\n",
"\n",
"\n",
"\n",
"В качестве базового предсказателя часто берут какой-то константный предсказатель, чтобы понять, что хуже него ни в коем случае быть нельзя.\n",
"\n",
"В нашем случае выборка сбалансированная, поэтому если мы будем просто предсказывать что победит вторая команда, то мы получим точность в 50%."
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 69,
"metadata": {},
"output_type": "execute_result"
},
{
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AAEoSvAAAAJQkeAEAAChJ8AIAAFCS4AUAAKAkwQsAAEBJghcAAICSBC8AAAAlCV4AAABK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\nAdDFsfSgUNF2AAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# почти сбалансированные данные, отлично\n",
"sns.countplot(data=df, x='radiant_win')"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ROC_AUC: mean=0.5003919299939009, std=0.005770428948303072\n"
]
}
],
"source": [
"clf = DummyClassifier(random_state=42)\n",
"scores = cross_val_score(clf, X, y, scoring='roc_auc')\n",
"print(\"ROC_AUC: mean={}, std={}\".format(scores.mean(), 2*scores.std()))"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Решаем в Лоб\n",
"\n",
"Иногда полезно попробовать парочку моделей на чистых признаках без предподготовки. Это хорошая стартовая линия, по ней мы сможем ориентироваться, улучшаем ли мы модель или нет.\n",
"\n",
"Можно поробовать: \n",
"- Градиентный бустинг на деревьях\n",
"- Cлучайный лес\n",
"- K ближайших соседей\n",
"- Линеный классификатор\n",
"- Машину опорных векторов\n",
"\n",
"Для оценки качества предсказания будем пользоваться кросс-валидацией. Это когда данные разбивают случайным образом на наборы, тренируются на них и предсказывают, а потом получается среднее значение качества и погрешность.\n",
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Метрика качества\n",
"\n",
"В задачах бинарной классификации можно использовать метрики accuracy, roc_auc, f1, log_loss, precision, recall.\n",
"\n",
"## Ошибки 1, 2 рода\n",
"\n",
"- true-positive, TP — пациент болен раком, диагноз положительный\n",
"- false-positive, FP — пациент здоров, диагноз положительный\n",
"- true-negative, TN — пациент здоров, диагноз отрицательный\n",
"- false-negative, FN — пациент болен раком, диагноз отрицательный\n",
"\n",
"\n",
"\n",
"- Precision - точность - способность алгоритма «видеть» больных\n",
"- Recall - специфичность - способность алгоритма не принимать здоровых за больных\n",
"\n",
"$$Precision = \\frac{TP}{TP+FP}$$\n",
"\n",
"$$Recall = \\frac{TP}{TP+FN}$$\n",
"\n",
"## F1\n",
"\n",
"1- хорошо, 0 - плохо\n",
"$$F1 = 2 * \\frac{precision * recall}{precision + recall} = \\frac{2TP}{2TP + FP + FN}$$\n",
"\n",
"\n",
"\n",
"\n",
"## Площадь под ROC кривой\n",
"\n",
"$$FPR = \\frac{FP}{FP+TN}$$\n",
"\n",
"$$TPR=\\frac{TP}{TP+FN}$$\n",
"\n",
""
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [],
"source": [
"def examine(clf, X, y, scoring='roc_auc'):\n",
" cv = KFold(n_splits=5, shuffle=True, random_state=42)\n",
" start_time = datetime.datetime.now()\n",
" scores = cross_val_score(clf, X, y, scoring=scoring, cv=cv, n_jobs=4)\n",
" end_time = datetime.datetime.now()\n",
" result = (clf.__class__.__name__, scoring, scores.mean(), scores.std()*2, end_time-start_time)\n",
" return result\n",
"\n",
"def print_report(result):\n",
" print('{0}. {1} {2:.5f} +-{3:.5f}. Time to fit: {4}'.format(result[0], result[1], result[2], result[3], result[4]))"
]
},
{
"cell_type": "code",
"execution_count": 87,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"DummyClassifier. roc_auc 0.49717 +-0.00387. Time to fit: 0:00:00.854263\n",
"SGDClassifier. roc_auc 0.66375 +-0.01491. Time to fit: 0:00:01.136679\n",
"RandomForestClassifier. roc_auc 0.66861 +-0.00267. Time to fit: 0:00:29.182890\n",
"GradientBoostingClassifier. roc_auc 0.68970 +-0.00422. Time to fit: 0:00:52.825710\n",
"AdaBoostClassifier. roc_auc 0.70079 +-0.00519. Time to fit: 0:00:38.704049\n",
"Lasso. roc_auc 0.71183 +-0.00397. Time to fit: 0:00:02.337585\n",
"RidgeClassifier. roc_auc 0.71678 +-0.00234. Time to fit: 0:00:01.339913\n"
]
}
],
"source": [
"classifiers = [\n",
" DummyClassifier(random_state=42), \n",
" Lasso(random_state=42), \n",
" RidgeClassifier(random_state=42),\n",
" SGDClassifier(random_state=42),\n",
" AdaBoostClassifier(random_state=42),\n",
" GradientBoostingClassifier(n_estimators=30, random_state=42),\n",
" RandomForestClassifier(n_estimators=30, random_state=42),\n",
"]\n",
"\n",
"results = [examine(clf, X, y) for clf in classifiers]\n",
"results = sorted(results, key=lambda el: el[2])\n",
"\n",
"for r in results:\n",
" print_report(r)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Достаточно ли хорошее качество получилось у нас? Может быть и невозможно предсказать лучше? Но стоит учесть, что мы совсем никак не подготавливали признаки. Мы не показали что там есть какие-то закономерности. Категориальные признаки мы просто рассматривали как числа, что не совсем верно(откуда между категориями может появиться отношение порядка?) и так далее.\n",
"\n",
"Поэтому далее нужно анализировать признаки. Зафиксируем какой-нибудь алгоритм классификации и будем проверять, как он реагирует на новые признаки."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Тюним признаки\n",
"\n",
"\n",
"\n",
"К счастью, некоторые модели внутри себя содержат информацию о важности признаков для них. В первую очередь стоит посмотреть на эти данные."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [],
"source": [
"def describeImportance(clf, X):\n",
" indices = np.argsort(clf.feature_importances_)[::-1]\n",
" for f in range(X.shape[1]):\n",
" print('%d. feature %d %s (%f)' % (f + 1, indices[f], X.columns[indices[f]],\n",
" clf.feature_importances_[indices[f]]))\n",
" \n",
"def describeCoef(clf, X):\n",
" coefs = clf.coef_[0]\n",
" indices = np.argsort(np.abs(coefs))[::-1]\n",
" for f in range(X.shape[1]):\n",
" print('%d. feature %d %s (%f)' % (f, indices[f], X.columns[indices[f]],\n",
" coefs[indices[f]]))"
]
},
{
"cell_type": "code",
"execution_count": 136,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0. feature 31 r4_deaths (-0.022837)\n",
"1. feature 39 r5_deaths (-0.021651)\n",
"2. feature 79 d5_deaths (0.020496)\n",
"3. feature 47 d1_deaths (0.019996)\n",
"4. feature 89 radiant_boots_count (0.019045)\n",
"5. feature 23 r3_deaths (-0.018953)\n",
"6. feature 78 d5_kills (-0.018043)\n",
"7. feature 55 d2_deaths (0.018001)\n",
"8. feature 15 r2_deaths (-0.017989)\n",
"9. feature 62 d3_kills (-0.017901)\n",
"10. feature 71 d4_deaths (0.017860)\n",
"11. feature 6 r1_kills (0.017414)\n",
"12. feature 63 d3_deaths (0.016781)\n",
"13. feature 70 d4_kills (-0.016606)\n",
"14. feature 22 r3_kills (0.016058)\n",
"15. feature 97 dire_boots_count (-0.016006)\n",
"16. feature 54 d2_kills (-0.015697)\n",
"17. feature 7 r1_deaths (-0.015672)\n",
"18. feature 14 r2_kills (0.015579)\n",
"19. feature 30 r4_kills (0.015169)\n",
"20. feature 38 r5_kills (0.015108)\n",
"21. feature 46 d1_kills (-0.015096)\n",
"22. feature 34 r5_level (0.013196)\n",
"23. feature 26 r4_level (0.012045)\n",
"24. feature 10 r2_level (0.011369)\n",
"25. feature 74 d5_level (-0.010977)\n",
"26. feature 50 d2_level (-0.010977)\n",
"27. feature 58 d3_level (-0.010625)\n",
"28. feature 66 d4_level (-0.010432)\n",
"29. feature 18 r3_level (0.009988)\n",
"30. feature 42 d1_level (-0.009746)\n",
"31. feature 2 r1_level (0.009222)\n",
"32. feature 96 dire_tpscroll_count (0.008646)\n",
"33. feature 88 radiant_tpscroll_count (-0.007639)\n",
"34. feature 82 first_blood_team (-0.006816)\n",
"35. feature 40 r5_items (0.006445)\n",
"36. feature 24 r3_items (0.006112)\n",
"37. feature 56 d2_items (-0.005463)\n",
"38. feature 80 d5_items (-0.005421)\n",
"39. feature 8 r1_items (0.005396)\n",
"40. feature 72 d4_items (-0.005363)\n",
"41. feature 64 d3_items (-0.005290)\n",
"42. feature 32 r4_items (0.005102)\n",
"43. feature 16 r2_items (0.004734)\n",
"44. feature 48 d1_items (-0.004639)\n",
"45. feature 99 dire_ward_sentry_count (0.004198)\n",
"46. feature 98 dire_ward_observer_count (0.003498)\n",
"47. feature 91 radiant_ward_sentry_count (-0.003130)\n",
"48. feature 53 d2_lh (-0.003027)\n",
"49. feature 13 r2_lh (0.002973)\n",
"50. feature 45 d1_lh (-0.002814)\n",
"51. feature 5 r1_lh (0.002805)\n",
"52. feature 29 r4_lh (0.002796)\n",
"53. feature 77 d5_lh (-0.002775)\n",
"54. feature 69 d4_lh (-0.002750)\n",
"55. feature 21 r3_lh (0.002677)\n",
"56. feature 37 r5_lh (0.002670)\n",
"57. feature 61 d3_lh (-0.002603)\n",
"58. feature 90 radiant_ward_observer_count (-0.002022)\n",
"59. feature 83 first_blood_player1 (-0.001531)\n",
"60. feature 84 first_blood_player2 (0.001485)\n",
"61. feature 0 lobby_type (-0.000980)\n",
"62. feature 87 radiant_flying_courier_time (-0.000324)\n",
"63. feature 95 dire_flying_courier_time (0.000272)\n",
"64. feature 92 radiant_first_ward_time (-0.000219)\n",
"65. feature 85 radiant_bottle_time (-0.000193)\n",
"66. feature 93 dire_bottle_time (0.000176)\n",
"67. feature 100 dire_first_ward_time (0.000154)\n",
"68. feature 9 r2_hero (-0.000134)\n",
"69. feature 86 radiant_courier_time (-0.000130)\n",
"70. feature 94 dire_courier_time (0.000095)\n",
"71. feature 52 d2_gold (-0.000071)\n",
"72. feature 65 d4_hero (0.000069)\n",
"73. feature 33 r5_hero (-0.000068)\n",
"74. feature 44 d1_gold (-0.000067)\n",
"75. feature 12 r2_gold (0.000067)\n",
"76. feature 4 r1_gold (0.000066)\n",
"77. feature 68 d4_gold (-0.000066)\n",
"78. feature 76 d5_gold (-0.000065)\n",
"79. feature 28 r4_gold (0.000064)\n",
"80. feature 36 r5_gold (0.000063)\n",
"81. feature 60 d3_gold (-0.000062)\n",
"82. feature 20 r3_gold (0.000061)\n",
"83. feature 73 d5_hero (0.000045)\n",
"84. feature 49 d2_hero (0.000037)\n",
"85. feature 75 d5_xp (-0.000037)\n",
"86. feature 51 d2_xp (-0.000035)\n",
"87. feature 1 r1_hero (0.000035)\n",
"88. feature 59 d3_xp (-0.000035)\n",
"89. feature 27 r4_xp (0.000034)\n",
"90. feature 35 r5_xp (0.000033)\n",
"91. feature 11 r2_xp (0.000032)\n",
"92. feature 43 d1_xp (-0.000031)\n",
"93. feature 67 d4_xp (-0.000031)\n",
"94. feature 3 r1_xp (0.000030)\n",
"95. feature 19 r3_xp (0.000029)\n",
"96. feature 57 d3_hero (-0.000019)\n",
"97. feature 25 r4_hero (0.000018)\n",
"98. feature 81 first_blood_time (0.000014)\n",
"99. feature 41 d1_hero (0.000008)\n",
"100. feature 17 r3_hero (0.000007)\n"
]
}
],
"source": [
"clf = RidgeClassifier(normalize=True)\n",
"clf.fit(X, y)\n",
"describeCoef(clf, X)"
]
},
{
"cell_type": "code",
"execution_count": 137,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1. feature 44 d1_gold (0.021682)\n",
"2. feature 4 r1_gold (0.021188)\n",
"3. feature 52 d2_gold (0.021159)\n",
"4. feature 12 r2_gold (0.020970)\n",
"5. feature 36 r5_gold (0.020498)\n",
"6. feature 28 r4_gold (0.020383)\n",
"7. feature 76 d5_gold (0.020005)\n",
"8. feature 68 d4_gold (0.019637)\n",
"9. feature 20 r3_gold (0.019593)\n",
"10. feature 60 d3_gold (0.019292)\n",
"11. feature 59 d3_xp (0.016761)\n",
"12. feature 75 d5_xp (0.016608)\n",
"13. feature 35 r5_xp (0.016457)\n",
"14. feature 11 r2_xp (0.016428)\n",
"15. feature 51 d2_xp (0.016424)\n",
"16. feature 43 d1_xp (0.016403)\n",
"17. feature 67 d4_xp (0.016256)\n",
"18. feature 27 r4_xp (0.016003)\n",
"19. feature 19 r3_xp (0.015973)\n",
"20. feature 3 r1_xp (0.015959)\n",
"21. feature 100 dire_first_ward_time (0.014943)\n",
"22. feature 92 radiant_first_ward_time (0.014768)\n",
"23. feature 93 dire_bottle_time (0.013898)\n",
"24. feature 9 r2_hero (0.013570)\n",
"25. feature 49 d2_hero (0.013569)\n",
"26. feature 85 radiant_bottle_time (0.013529)\n",
"27. feature 25 r4_hero (0.013403)\n",
"28. feature 41 d1_hero (0.013257)\n",
"29. feature 17 r3_hero (0.013201)\n",
"30. feature 65 d4_hero (0.013175)\n",
"31. feature 33 r5_hero (0.013156)\n",
"32. feature 1 r1_hero (0.013088)\n",
"33. feature 73 d5_hero (0.013081)\n",
"34. feature 57 d3_hero (0.013059)\n",
"35. feature 5 r1_lh (0.012459)\n",
"36. feature 81 first_blood_time (0.012440)\n",
"37. feature 69 d4_lh (0.012228)\n",
"38. feature 77 d5_lh (0.012180)\n",
"39. feature 61 d3_lh (0.012133)\n",
"40. feature 29 r4_lh (0.012127)\n",
"41. feature 13 r2_lh (0.012116)\n",
"42. feature 37 r5_lh (0.011944)\n",
"43. feature 53 d2_lh (0.011925)\n",
"44. feature 21 r3_lh (0.011759)\n",
"45. feature 45 d1_lh (0.011704)\n",
"46. feature 86 radiant_courier_time (0.011490)\n",
"47. feature 95 dire_flying_courier_time (0.011360)\n",
"48. feature 87 radiant_flying_courier_time (0.011279)\n",
"49. feature 94 dire_courier_time (0.010894)\n",
"50. feature 83 first_blood_player1 (0.010027)\n",
"51. feature 64 d3_items (0.009163)\n",
"52. feature 40 r5_items (0.009121)\n",
"53. feature 56 d2_items (0.009081)\n",
"54. feature 32 r4_items (0.009053)\n",
"55. feature 8 r1_items (0.009029)\n",
"56. feature 80 d5_items (0.009004)\n",
"57. feature 24 r3_items (0.008942)\n",
"58. feature 72 d4_items (0.008936)\n",
"59. feature 16 r2_items (0.008893)\n",
"60. feature 48 d1_items (0.008889)\n",
"61. feature 89 radiant_boots_count (0.008712)\n",
"62. feature 96 dire_tpscroll_count (0.007941)\n",
"63. feature 97 dire_boots_count (0.007896)\n",
"64. feature 88 radiant_tpscroll_count (0.007682)\n",
"65. feature 84 first_blood_player2 (0.006139)\n",
"66. feature 82 first_blood_team (0.006113)\n",
"67. feature 66 d4_level (0.004599)\n",
"68. feature 58 d3_level (0.004525)\n",
"69. feature 34 r5_level (0.004503)\n",
"70. feature 18 r3_level (0.004378)\n",
"71. feature 74 d5_level (0.004376)\n",
"72. feature 10 r2_level (0.004349)\n",
"73. feature 42 d1_level (0.004281)\n",
"74. feature 26 r4_level (0.004231)\n",
"75. feature 50 d2_level (0.004213)\n",
"76. feature 2 r1_level (0.004212)\n",
"77. feature 90 radiant_ward_observer_count (0.004186)\n",
"78. feature 98 dire_ward_observer_count (0.004101)\n",
"79. feature 0 lobby_type (0.003588)\n",
"80. feature 91 radiant_ward_sentry_count (0.003545)\n",
"81. feature 99 dire_ward_sentry_count (0.003391)\n",
"82. feature 31 r4_deaths (0.003198)\n",
"83. feature 39 r5_deaths (0.003092)\n",
"84. feature 78 d5_kills (0.003048)\n",
"85. feature 47 d1_deaths (0.003017)\n",
"86. feature 62 d3_kills (0.003010)\n",
"87. feature 70 d4_kills (0.002954)\n",
"88. feature 79 d5_deaths (0.002949)\n",
"89. feature 7 r1_deaths (0.002944)\n",
"90. feature 15 r2_deaths (0.002924)\n",
"91. feature 22 r3_kills (0.002889)\n",
"92. feature 54 d2_kills (0.002848)\n",
"93. feature 6 r1_kills (0.002844)\n",
"94. feature 55 d2_deaths (0.002837)\n",
"95. feature 23 r3_deaths (0.002830)\n",
"96. feature 71 d4_deaths (0.002806)\n",
"97. feature 46 d1_kills (0.002714)\n",
"98. feature 38 r5_kills (0.002674)\n",
"99. feature 30 r4_kills (0.002654)\n",
"100. feature 63 d3_deaths (0.002646)\n",
"101. feature 14 r2_kills (0.002609)\n"
]
}
],
"source": [
"clf = RandomForestClassifier(n_estimators=50,random_state=42, n_jobs=4)\n",
"clf.fit(X, y)\n",
"describeImportance(clf, X)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Один классификатор говорит что деньги и опыт важен и время покупки и использования каких-то предметов, а другой говорит важны убийства персонажей и их уровни. Такое разное \"восприятие\" из-за неподготовленности признаков. Лучше доаверять в этом плане деревьям, так как для них без разницы как представленны признаки.\n",
"\n",
"Детальный анализ предметной области подсказывает нам, что должны быть важны следующие признаки: \n",
"- деньги\n",
"- ботинки\n",
"- курьеры\n",
"- first blood\n",
"- свитки телепортации!\n",
"- опыт\n",
"\n",
"И нам не важны характеристики каждого героя по отдельности, можно посмотреть в целом на команду. Среднее, сумма золота, предметов, опыта и так далее. То есть то, что алгоритм машинного обучения сам не сможет выявить. Это наше эмперическая креативная идея."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Проверяем распределения\n",
"\n",
"Обычно, алгоритмы машинного обучения работаю лучше если распределения признаков близки к нормальным. Если есть смещения то из лучше выровнять. Если есть прерывистые изменения, то их лучше сгладить. Обычно помогают логарифмы, возведения в степени."
]
},
{
"cell_type": "code",
"execution_count": 164,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 164,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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dQXlNA+/kl5pdjoiIiIichy4DbHZ2Nnl5eUDLxEttky0BTJkyhfz8fPx+P/X1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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"ax1 = plt.subplot2grid((3, 1), (0, 0), colspan=2)\n",
"ax2 = plt.subplot2grid((3, 1), (1, 0), colspan=2)\n",
"ax3 = plt.subplot2grid((3, 1), (2, 0), colspan=2)\n",
"sns.distplot(df['dire_first_ward_time'], ax=ax1)\n",
"sns.distplot(df['radiant_first_ward_time'], ax=ax2)\n",
"sns.distplot(df['dire_first_ward_time'] - df['radiant_first_ward_time'], ax=ax3)"
]
},
{
"cell_type": "code",
"execution_count": 165,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 165,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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piX0i+cJzc7VyfZ0qtzdpa+1BnVuSEe8qDUqEVQDAGXd0K7dhmmpu61F9k0/1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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"ax1 = plt.subplot2grid((3, 1), (0, 0), colspan=2)\n",
"ax2 = plt.subplot2grid((3, 1), (1, 0), colspan=2)\n",
"ax3 = plt.subplot2grid((3, 1), (2, 0), colspan=2)\n",
"sns.distplot(df['dire_bottle_time'], ax=ax1)\n",
"sns.distplot(df['radiant_bottle_time'], ax=ax2)\n",
"sns.distplot(df['dire_bottle_time'] - df['radiant_bottle_time'], ax=ax3)"
]
},
{
"cell_type": "code",
"execution_count": 214,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 214,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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2rmOGQiF897vfwNe+dhNuv/3v4fH0mI+pqorvf//b+Otft2fEfkKHBIogiDE5ePAAmpp2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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Весьма логично, что чем больше разница времени покупки важного артефакта, тем больше шансов победить \n",
"\n",
"df['delta_bottle_time'] = df['dire_bottle_time'] - df['radiant_bottle_time']\n",
"h = df.groupby(['delta_bottle_time'])['radiant_win'].sum() / df.groupby(['delta_bottle_time'])['radiant_win'].count()\n",
"sns.jointplot(h.index, h.values, kind=\"reg\")"
]
},
{
"cell_type": "code",
"execution_count": 166,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 166,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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LObNqsyqwW5XSnFnNsbIKlC6sDvqj2ZBPRERERDTbMazSJbKV1XFtwABQ5S7NHlOgsDOr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hKUnpqgYw0etbb7IrJNIBaFDatut1t2+xcnkVssFvn9/tAyh+OLf+1JTk6W2+1Wbm6uFi9erDfe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\n3aDP2t0AAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"ax1 = plt.subplot2grid((3, 1), (0, 0), colspan=2)\n",
"ax2 = plt.subplot2grid((3, 1), (1, 0), colspan=2)\n",
"ax3 = plt.subplot2grid((3, 1), (2, 0), colspan=2)\n",
"sns.distplot(df['dire_tpscroll_count'], ax=ax1)\n",
"sns.distplot(df['radiant_tpscroll_count'], ax=ax2)\n",
"sns.distplot(df['dire_tpscroll_count'] - df['radiant_tpscroll_count'], ax=ax3)"
]
},
{
"cell_type": "code",
"execution_count": 167,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 167,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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/phyG9Gz7+4rFk7kuCQAAAMAEldE04KVLl6q5uVk1NTWyLEsbNmzQli1bVF5e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\ndNFFF+nee++Vz+fT+eefr92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CgUB6zOfzKRwOa+7cubrtttv06KOP6vrrr9f69etHWfrE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\ndZisEhERERERUdRhskpERERERERR5/8BVyKtDUTP1UYAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"ax1 = plt.subplot2grid((3, 1), (0, 0), colspan=2)\n",
"ax2 = plt.subplot2grid((3, 1), (1, 0), colspan=2)\n",
"ax3 = plt.subplot2grid((3, 1), (2, 0), colspan=2)\n",
"sns.distplot(df['dire_courier_time'], ax=ax1)\n",
"sns.distplot(df['radiant_courier_time'], ax=ax2)\n",
"sns.distplot(df['dire_courier_time'] - df['radiant_courier_time'], ax=ax3)"
]
},
{
"cell_type": "code",
"execution_count": 168,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 168,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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ll069akREscenJSuy5amo0g0XD1bGoORIl9SuWSwWde8cp+6d4zRldKqqAkHt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\nHYrUfIVrHkNhQ6FQRKFwzbRQ2FAoHFGodp5wpLY9Yihc2x6sDquiKqJ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eqOr01UUzCif930sRqaQokuEgAAcYRVAMCAF4kaevy/S3SoJqBrZ47Wgi+NSXSR+sysqSP09X+4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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"ax1 = plt.subplot2grid((3, 1), (0, 0), colspan=2)\n",
"ax2 = plt.subplot2grid((3, 1), (1, 0), colspan=2)\n",
"ax3 = plt.subplot2grid((3, 1), (2, 0), colspan=2)\n",
"sns.distplot(df['dire_flying_courier_time'], ax=ax1)\n",
"sns.distplot(df['radiant_flying_courier_time'], ax=ax2)\n",
"sns.distplot(df['dire_flying_courier_time'] - df['radiant_flying_courier_time'], ax=ax3)"
]
},
{
"cell_type": "code",
"execution_count": 218,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 218,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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H5pfnctPy8n6DksVkIMtpwWgYuVT1c2bk8Mr7x9lf2y6BK2b79u0sX74ciPac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\nQqHARQghJKFQ4CKEEJJQKHARQghJKP8fU9M8KgpwgTgAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Очень сильный признак - наличие ботинок\n",
"\n",
"df['delta_flying_courier_time'] = df['dire_flying_courier_time'] - df['radiant_flying_courier_time']\n",
"h = df.groupby(['delta_flying_courier_time'])['radiant_win'].sum() / df.groupby(['delta_flying_courier_time'])['radiant_win'].count()\n",
"sns.jointplot(h.index, h.values, kind=\"reg\")"
]
},
{
"cell_type": "code",
"execution_count": 169,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 169,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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djhrbughHjGNeTwqx7XYyM9y0B0KYpnlM/w+GqrfWVff7Z8+bWZLASkRERGI0UioiMgCa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\nWbYAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"ax1 = plt.subplot2grid((3, 1), (0, 0), colspan=2)\n",
"ax2 = plt.subplot2grid((3, 1), (1, 0), colspan=2)\n",
"ax3 = plt.subplot2grid((3, 1), (2, 0), colspan=2)\n",
"sns.distplot(df['dire_boots_count'], ax=ax1)\n",
"sns.distplot(df['radiant_boots_count'], ax=ax2)\n",
"sns.distplot(df['dire_boots_count'] - df['radiant_boots_count'], ax=ax3)"
]
},
{
"cell_type": "code",
"execution_count": 217,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 217,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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bLYQQCaZpGu3u4KCEWSSq8pctdbz45qF4mJXkO3lgycyEhhmA3WrE6w+jDeU2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\nAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Очень сильный признак - наличие ботинок\n",
"\n",
"df['delta_boots_count'] = df['radiant_boots_count'] - df['dire_boots_count']\n",
"h = df.groupby(['delta_boots_count'])['radiant_win'].sum() / df.groupby(['delta_boots_count'])['radiant_win'].count()\n",
"sns.jointplot(h.index, h.values, kind=\"reg\")"
]
},
{
"cell_type": "code",
"execution_count": 171,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 171,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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AoFgRQIEikYpjWEq69oASQJOLL7/t3+dgAK1wlkhiEBEAACheBFCgSLj9QZlNJjlKrCf9\nGAc7oCzBTaax1Sfp8ACa6IASQAEAQJEigAJFwuMLyVVmk9lkOunHYAluzzW2+lVis6jCeXDPbfxt\nOqAAAKBYEUCBIuH2hXo1AVeSrBazrBYTQ3SS8PpD8naG1b+PQ6ZDAn+p3aoSm4UOKAAAKFoEUKAI\nhCNR+QLhXu3/jCu1W+mAJnGs/Z9xFU6bPP6QwpFopssCAADIOgIoUAS8/vgE3JM/giWuxG5RZyDC\nWZbH0dh2vABql2FITV33AQAAKCYEUKAIJCbg9nIJrhTbBxo1DIXo4HWrsdUvi9mk6orSo65Vdu0D\n3dviy3RZAAAAWUcABYqA29/7I1ji4oOIAizDPaZgKKJWd0D9qkplMR898Ck+iGjfAQIoAAAoPgRQ\noAi4fbGhN64UdUAlqTNAAD2W+NLaAX3Kjnk93gHdRwcUAAAUIQIoUAQ8iQ5o7/eAltpj54h2Mgn3\nmPYfZwCRFNuHazJJew94M1kWAABATiCAAkUgsQc0hUtwO4PhXj9WIWps9cskqV/V0fs/JcliNqnc\nYaMDCgAAihIBFCgCqVyCW8IS3G5FolE1t3eqT0WJ7FZLt/ercNrl7Qwn/l4AAACKBQEUKAJpWYLL\nEKKjtLQHFI0a6l917OW3cQwiAgAAxYoAChSB+BLcVA4hCrAH9CiNrbFA2d3+zziOYgEAAMWqRwF0\n06ZNWrBgwVG3r169WrNmzdLcuXO1cuXKlBcHIDXcvpAcJRbZrL3/nVM8gPoD7AE9UmNiANGxJ+DG\nVbjogAIAgOJkTXaHhx9+WKtWrZLDcfhv9EOhkO6991499dRTcjgcmjdvniZNmqR+/fqlrVgAJ8ft\nD6rc0fvlt5JktZhltZjogB7BMAw1tvnlcthUVnr8b60cxQIAAIpV0nbIsGHDdP/99x91e11dnYYN\nG6bKykrZ7XaNGzdO69evT0uRAE6eYRjy+EJypWACblyp3coe0CO0e4IKhqJJl99KUonNImepVXvp\ngAIAgCKTNIBOmTJFVuvRv833eDwqLy9PvO90OuXxeFJbHYBe8wciikQNladg/2dcid2izmBEhmGk\n7DHzXWOS8z8PZTKZNLBvmZrb/ApHoukuDQAAIGec9IYwl8slr/fgQeper/ewQAogN7j9XUewpLQD\nalE0aihEeEpobOt5AJWkgdVlikQNNXV9HAAAQDE46QA6cuRI1dfXq62tTcFgUBs2bNA555yTytoA\npIDHl7ojWOISk3BZhpuw/4BPJTZLYn9nMgOrY4OKGEQEAACKSdIhREf6y1/+Ip/Pp7lz52rx4sW6\n7rrrZBiGZs2apQEDBqSjRgC9ED+CJZVLcOMBtDMYUfnxB74WBa8/JG9nWEP6u2QymXr0MYP6OiV1\nDSI6LZ3VAQAA5I4eBdAhQ4YkjlmZMWNG4vZJkyZp0qRJ6akMQEq4falfgltij33rYBBRTHz57YAe\nLr+VDnZAGUQEAACKSe8PBQSQ0zz+1C/BdSQ6oJwFKknNbZ2SpJqqngfQ/n0cMptMLMEFAABFhQAK\nFLh0LMEtOWQJLqRWd0CS1Ke8pMcfY7WY1a+qlLNAAQBAUSGAAgUuPgW3PMVTcCWpM0AAlaQ2T0Au\nh00264l9Sx1UXSaPP5ToUgMAABQ6AihQ4OIdUJcjhVNwbbE9oIEQAdQfCKszGDmh7mfcwL5dk3Dp\nggIAgCJBAAUKnNsXksVskqPEkrLHLGEPaEKbJ7b8tsp14gE/MYioxZvkngAAAIWBAAoUOI8/qPIy\nW4+PB+kJm9Usq8XEHlAd3P9ZdRId0MRRLAwiAgAARYIAChQ4ty+U0uW3cSU2CwFUUpsntse2j+sk\nluB2dUAJoAAAoFgQQIECFgpH1RmMpHQAUVxpiVWdwYgMw0j5Y+eTNndAZpNU4TzxkF9eZlNZiZUA\nCgAAigYBFChgB88ATUMAtVsUjRoKR4o3gBqGoTZPQBVOu8zmE1/ibDKZNLBvmRpb/QpHommoEAAA\nILcQQIEC5vZ1HcGShiW4pTYGEXn8IYUjxklNwI0bVF2mSNRQc3tnCisDAADITQRQoIC5uzqgrjR0\nQA9Owi3efaDx/Z9VJ7H/M46jWAAAQDEhgAIFLNEBTdMeUKm4A2h8Am5vOqCJo1gOcBQLAAAofARQ\noIB5fPE9oCzBTYe2+BEsveqAdh3FQgcUAAAUAQIoUMDcXQHU5UjPECKpuDugbZ6ArBaTnA7rST9G\n/yqHTCaOYgEAAMWBAAoUMHc6p+CWxAJooEgDaDgSVbs3qCpXiUymE5+AG2ezmlVT6SCAAgCAokAA\nBQqYJzEFNw0B1Fbce0D3tfhkGL3b/xk3sG+Z3L5Q4tgcAACAQkUABQpYc3unLGaTnGkIoAen4Bbn\nHtDdTR5Jvdv/GRcfREQXFAAAFDoCKFCggqGIdjV6NGxAuayW1P9Tt1nNslpMRdsBbWiOTa1NVQdU\nYhARAAAofARQoEDV73crEjU0srYibc9RYrMUbQDd3djVAS3v/YThQfGjWFo4igUAABQ2AihQoOoa\nOiRJIwdXpu05Su1WdQYjMgwjbc+RqxqavSq1W1RqP/kJuHFD+rtkkvSvvR29LwwAACCHEUCBAlW3\np12S0toBLbVbFI0aRdcF9QfCam7vVFUKlt9KkrPUptoal+r2dCgUjqbkMQEAAHIRARQoQIZhqK6h\nXZVOu/pWlKbteeJngbqLbHrrnvj+zxQMIIo7fViVQuEoXVAAAFDQer92DEDOaXUH1OYJ6txRNb06\nozKZ+CRctzeo/lWOtD1PrklMwE3B/s+404dW6ZV3dmvrrjaNGlqVssctJK9ubOjVx08YW5uiSgAA\nwMlKGkCj0ajuuusubd26VXa7XXfffbdOOeWUxPW7775b7777rpxOpyRp2bJlKi8vT1/FAJLa3tC1\n/HZw+pbfSod0QH3F1QFtaEp9BzQeOrftbJUuODVljwsAAJBLkgbQl19+WcFgUE888YQ2btyon/70\np/rVr36VuP7hhx/qkUceUXV1dVoLBdBzO/Z0DSCqTd8AIkmJATxuXzCtz5Nr4h3QyhQG0AqnXYP6\nlml7Q4fCkWhajs4BAADItqQ/4bzzzju66KKLJEljx47V5s2bE9ei0ajq6+t155136uqrr9ZTTz2V\nvkoB9FhdQ7ssZpNOGZje1QjxDmhHkQXQhmavaqpKZbOmNiSePqyPAqGI6ve7U/q4AAAAuSLpT08e\nj0culyvxvsViUTgcliT5fD597Wtf09KlS/XII4/o97//vT7++OP0VQsgqVA4qvr9bg3p71KJzZLW\n5yrGJbjt3qDcvpBq+7mS3/kEnZ5YhtuW8scuFJEoU4IBAMhnSQOoy+WS13vwcPRoNCqrNbbszuFw\naOHChXI4HHK5XPrCF75AAAWybOd+t8IRI+37PyWprNQmSdrT4k1yz8LR0LX8dkh/Z8ofO74PdOsu\nAuixNDR59Ie/bdc7W5uK8uxZAAAKQdIAeu655+r111+XJG3cuFGjRo1KXPvkk080b948RSIRhUIh\nvfvuuzrrrLPSVy2ApOoytP9TkspKrapy2fVxfZsCRXIW6O6uAUTp6ID2KS9R/z4O/XN3m6JRAtaR\n3q9rUdQw9OG/DuiND/YpwmsEAEDeSTqE6Mtf/rLeeOMNXX311TIMQ/fcc49+85vfaNiwYZo8ebJm\nzpypq666SjabTTNnztRpp52WiboBdKMuQxNw44b2d+mDHQe05ZMDOmdUTUaeM5sSHdAap/7Z9Vqn\n0ulDq7T2/b3a1ehJ+x7efPKvvR1qauvUgGqHIhFDO/Z0yB8Ia8I5tSnfiwsAANInaQA1m8360Y9+\ndNhtI0eOTLz9jW98Q9/4xjdSXxmAk7JjT7vKy2yqydC5nENqYgF04/bmogigu5u8sphNGlBdlp4A\nOiwWQLfubCWAHuJvG3ZJks4e0Vc1VQ6t3bRHu5u8evHtnZo8bogcJRxrDQBAPuDXxkABaXUH1NIR\n0MjBlTKZTBl5zr5VpSovsyWWRxayqGFoT7NXg/qWpe2YlNOH9pHEPtBDtboDWv9RoypdsaNqbFaz\nJpxTq08NqdSBjoBeeGunOrzFNYkZAIB8RQAFCsiOPV3Lb2szs/xWkswmk8aM7Kt2b1D1+wr7+JDm\n9k4FQhHV1qR+/2dc38pS9a0o1bZdbQUf6HtqzXsNikQNnXlKn8QvVsxmk84/a4DGjOwrjz+kF97a\nqaY2f5YrBQAAyRBAgQISH0A0YnD6BxAd6jMj+0mSNv6zOaPPm2mH7v9Mp9OHVcnbGdaepuKZLtyd\nUDii1zY2yFlq1Ygj9jWbTCaNPa2fvnDWAAVDEf1t/S7tbvRkqVIAANATBFCggNQ1tMtkkoYPyuze\nwbOGV8tqMWnT9sIOoOmcgHuo0zmOJeGtLfvl9oX0pbGDu132PGpolSacWyvDiHVLd+4v7E48AAD5\njAAKFIhwJKpP9rk1pMalUntmB7I4Sqw6fVgf7Wz06EBHZ0afO5My2QGVpK07W9P6PLnOMAz9bf1u\nmU0mTT53yHHvO7S/S5ecN1Qmk0nvbG3iGBsAAHIUARQoELsaPQqFoxk5//NYxn4qtgx3U11LVp4/\nExqavCqxW1RdWZrW56mpcqhPeYm27WqTUcT7QLfubNPuJo/GnV6j6orkr3lNlUOfqq2Q2xcq+P3I\nAADkKwIoUCB2dO3/zNT5n0f6zMi+klSwy3DDkaj2HfBpSD+nzGmeMGwymTRqaJU6fCHtO+BL63Pl\nsvjRK1/+7NAef8xZw6tlkvTBjpaiDu8AAOQqAihQIOoa4hNws9MB7VflUG2NU1s+aVUgGMlKDem0\nr8WnSNRQbZqX38Yl9oHuLM59oI1tfm38Z7OGDyo/oanO5WV2nTqoXG2eoBoY4gQAQM4hgAIFom5P\nu5ylVg3o48haDWM/1U/hSFRb6g9krYZ02d0c2/+ZziNYDpXYB1qkg4hWv7NbhqSLPzv0hM+0HT0i\n1o1/v44uKAAAuYYAChSADm9QTW2dGllbecI/rKfSZ+L7QAtwGW68mzakX2Y6oAOry1ThtGvrztai\nC1H+QFhr39+jSpddnzuj/wl/fJ/yEg3p71Jze6f2H+BsUAAAcgkBFCgAdXtiy2+PPCcx00YMqpDL\nYdOm7S2KFlhoigfQ2v6Z6YDG94G2eYJqaiuuEPXGB3vlD0Q06Zzabo9eSebsEdWSYntBAQBA7sjs\nWQ3ACXh1Y0O31zz+kPY0ezVicMUxf0CdMLY2naXlnLqGrgFEWdr/GWc2m/SZkX31xuZ9qt/n1vBB\n2Q3EqbS7yaOKMpsqyuwZe87Th1Zpw8eN2rqzTf37lGXsebMpahh6+Z3dslrMGn/Oyf87rqlyaGB1\nmfa2+NTc3ql+aZ5cDAAAeoYOKPLO7iaPnn3zE7314X69uG6nPP5QtkvKuh172mVSrAOZbYW4DNcf\nCKu5vTNj+z/jEoOIimgf6Pt1LWps9esLnx7Q67B/9shYF3QzXVAAAHIGARR5I2oY2vjPZq1+p0Hh\niKHB/Zxq6QjouTfrta+leI+qiESj2rG3Q4NrnHKUZH9Rw1nDq2Uxm7SxgALonuau5bcZmoAbN7jG\nKWeptagm4b7cdfTKxZ8d0uvHGlhdpr6Vpdq536M2T6DXjwcAAHqPAIq80BkM65UNu/V+XYtcDpum\nfn6YJo+r1ec/3V+hcER/27BLW/51oOiGtUixvYnBUDRr538eyVFi1RnDqrRzv0cHOjqzXU5KNHQF\n0CEZ7oCau/aBtnR0qrm98PeB7m7yaMsnrTpjWJWGDSjv9eOZTKbEXtAPdxTeZGYAAPIRARQ5r7nN\nr2ffrNfeFp9qa5yadv4p6ltZKpPJpNOH9dEl5w1Vqd2iDVubtPb9vQqFo9kuOaMS538Ozu7+z0PF\nl+G+X1cYSx93N8aPYMlsB1SSTh/WR5K0rcCX4QZDET324lZJsaNXUmVof5cqXXbt2NtRFCEeAIBc\nRwBFzjIMQ1t3tuqv63bK1xnW2NP6adK5tSqxWw67X/8+ZZp2/qmqqSrVJ3vd+uu6nWosoqmhdXti\nA4hGZHkA0aHGdgXQQliGe6CjU+/+s0kmk1SboSNYDpXYB1rAy3Aj0aiWP/Ohtu1u12dPr9HY0/ql\n7LFNJpOT76ftAAAgAElEQVRGD6+WYUgvrtuVsscFAAAnhwCKnBQIRfTGB/u0bkujbFaLLv7sEI0Z\n2bfbMy7LSq265LxhGjW0Uq3ugH68Yn3RDB6pa2iXo8SqQX1zZ0pqvyqHamuc+qi+VYFQJNvlnLRW\nd0BL//CeDnQENPPC4Sq1Z36P7dD+LjlKrAU7iChqGFrx/MfauL1Znz61j7454yyZU3yW7fCu44Fe\nf3+P2r3BlD42AAA4MQRQ5Jz6fW79aMV67djToX6VpZp2wSka3IPOk8Vs0hfOGqjzRw9QIBTRfSs3\n6Y+v1ykcKdwluR5/SPtb/RoxuCLlP7T31mdG9lMoHNVHn7Rmu5ST0u4N6mePv6f9rX5NO/8Uzbjg\n1KzUYTabdNqQSjW2+tXqLqxBOoZhaOXq7Xpj8z4NH1Sh71x5tmzW1P9nyWw26azhfRQKR/W39XRB\nAQDIJgIockY0aui5f3yiu3+7QXtbfDrjlCpN+fxQuRy2E3qc04ZUafFXx6lvZamefbNed//fBu1u\n8qSn6Cw7uP8zNwYQHSqfl+F2+IJa+of3tLfFp0vPG6YrvzSi2+57Jpw+LLYMt9D2gT7/Vr1eWr9L\ng/qW6eY5Y9LaYf5UbaUqnHatfne3fJ0c3QQAQLZk/8yGAuPrDGtPi1fBUETBUFTBcOzPzZ+0KBIx\nFIlEZTKZVFvjVJ/ykh79UDth7Mkfxp4vmtv8euTZLdq2u12VLruu+8qZau7FBNURgyv0w2vP0xOr\n/6nXN+3Vj1as1xVfGqEpnxsmszm3OoW9Ed//OTKH9n/GjRgcW/a4qa5ZUcPIuQ5tdzz+kH72h43a\n0+zVxZ8dojkTR2Y1fErS6UNjg4g+/NcBnXdm/6zXkwqvbmzQ06/tUN+KEn1/7liV9/LMz2QsFrOm\nfG6onny1Tqve+ERzJo6UxczvYAEAyDQCaAoEghFtqmvWui379cGOFoUjyY8Cee+fzapy2TV8UIVO\nHVSe9h++cpVhGPrHh/v02Evb1BmMaNyoGl0z9Qy5HDa9urGhV4/tKLHq61PP1NjTarTihY/15Jo6\nbfxns66b/mn1r3Kk6DPInnAkqm07Y8tbR+RgB9RsNukzI/vqjc37VL/PreGDcq/GI3k7Q/rZ4+9p\nd5NHk86t1bzJp+VE2Bs2wCWXw6a/f7BXDc0eTf38KTp3VE3e/jJlw8eNevSvW+Vy2PS9uWNVXVGa\nkeedcE6tXnx7p15av0vvbG3SlPOG6qIxg48abAYAANLHctddd92VySf0+QpjAEQoHNGm7S165u//\n0oq/fqx1Wxq174BPg/o5df5ZA3X2iL4aM7KfzhnVT+NOr1F5mU0jayt12pDKxFEOTW2d2tvi08f1\nbdrT7FUkYsjpsB21B+rUgbn/g/vJ8PhD+t/nPtKzb9bLYjHrmilnaNb4ESqxxX4Y/GSf+6Qf+9DX\nbGB1mb549kA1t/m1+V8HtHbTXrnKbDplQHlOhIsTEYlG9VF9q57/xyf6zfMfa98Bv2prnJpy3rBe\nP3aqXu9DRaOG1n/cqPIym848pU9Ov96+zpD+3+MbVb/fo/FjB+trl5yetGubjtfsWMxmk0aP6KsO\nb1Af17dq/ceNemvLflktZtXWOPOqk/fhvw7ogT99IJvNokXzxmpo/56f99mb11uKLc//7Bn9FYka\n+ufudm3a3qLXNu5RMBzVkBqX7DaCKAAAqeB0lnR7zWQYxnHbddFoVHfddZe2bt0qu92uu+++W6ec\nckri+sqVK/X444/LarXqhhtu0MSJE49bTFNT736AyDTDMOQPRNTuDajNE1SbO6AtnxzQu/9skj8Q\nm+7Zv49D5505QOed2b/bg+qP1c0LhiKq3+/Rv/Z2aF+LT5JkMkmD+papurxULodNTodNk86tVd+K\n0rz/4agzGFa7J6g2T0D7W/3689odavME9akhlfrGMbqSvemAHmvZsmEYWrdlvx57aZt8gbDOHtFX\nk8cNUZXLrkpXicodtpzsKEUNQ9t3t2vdR/v1zseN6vDF9q9Vuuz63Bn9NfGcWg3q2/vjQVL9ekuS\nPxDWd3+5VuGIIZfDplMHlevUgRU6dWC5Th1Y3uNl6OnmD4T1/57YqB17OnThmEH6+tQzerRkOB2v\nWTJ7W7x68e1denPzXoUjhirKbLr4s0M18dxaOUtPbL90JoTC0cT3z/0HfHrspW2KRKO65aqxOvOU\nPif0WL1dFXHoa97hC+qVDbu1+t3d8naGZbeZ9aUxg3XJeUPVrzL/V0gcKRyJytsZlscXlMcfkscf\nVjAcUSgcPeR/EQW73g5HonKUWFVeZldFmU3lZXaVH/Kn1ZI/v/QAAGReTU33v2BOGkBfeuklrV69\nWj/96U+1ceNGPfjgg/rVr34lSWpqatK1116rp59+WoFAQPPnz9fTTz8tu7375aS5HkBffHun6vZ0\nqN0TUJsnoHZPUMHw0VNUqytKdN4ZA3Tep/v3qJOW7AcnX2dYn+zr0L/2utXSfuy9jxVOu/pVlqpv\nRalK7RaZTCaZzSaZTJJZJpnMktkUe78nP9T35sd+o+v/jNhbin8VGV23GYbk9YfU5ukK7p6AOoOH\nH8dhMZs088Lh+soXTjlm8EvXD/cHOjr1m+c/0odHTGc1m0wqd9pU6bSrylWiCqddpV1L80yKva5S\n7JcEJpkSL2AqXsdo1wsYNWKvnQwpKkOhcFQf/utAYvqpy2HT587or/PO7K/ThlSlNDCn6/V++6P9\nWv9xo+r3udV8xNd2RZlNpw6qUP8qh0ymg6+xdGKvc9JF70YsCAVCEQXDEQWCka63Y7d1eINy+0I6\n/6yBum7amT1+XbMRQOPaPAG9vGG31rzXIH8grBKbRWNG9pXdapbJbJLZZJKl68/49waz2dT7r9eu\nN478tx9/2xcIqc0T7PoeGgs7hzKZpH+//GyNO73mhJ8/lQE0rjMY1uub9uql9Tt1oCMgs8mkUUMr\nVWKzyGoxy2IxyWoxy2oxyWIxy2o2y2I2Jf2Hn5LXudsbYt8rIlFD0aihSDSqSPTQ92PfOzz+kJra\n/OoMxoJmKjlLrXKUWGW3WWS3mlVis8Tetpllt1pUYjPLYjHHXgdT999Ds/3rJ+OIN47137SoEXtd\n46+5ETUUid8WNRSOxG4PR7r+HiLRrtti70ux/96ZD/132fW22Rx732KOfX3F/ozfFvv6M5tM3b6O\nsZvT+/WYCj35Hh374+jvK7112H9Xjnwljv9u3kn2vcNI/jfRI4X+OiaTwi/P4zre61hWatUlnxuW\nlsnxqdKrAHrvvfdqzJgxmjZtmiTpoosu0tq1ayVJr7zyil577TX96Ec/kiTdeOONuv766zVmzJhU\n1Q4AAAAAKBBJY7PH45HLdXBZqcViUTgcTlwrLz+Ybp1OpzyewjzuAgAAAADQO0kDqMvlktfrTbwf\njUZltVqPec3r9R4WSAEAAAAAiEsaQM8991y9/vrrkqSNGzdq1KhRiWtjxozRO++8o0AgILfbrbq6\nusOuAwAAAAAQ1+MpuNu2bZNhGLrnnnv0+uuva9iwYZo8ebJWrlypJ554QoZh6Prrr9eUKVMyVTsA\nAAAAII8kDaAAAAAAAKRC7s7uBQAAAAAUFAIoAAAAACAjCKBpFI1Gdeedd2ru3LlasGCB6uvrs10S\ncEyhUEiLFi3S/PnzNXv2bL3yyivZLgk4rpaWFo0fP151dXXZLgXo1oMPPqi5c+fqyiuv1JNPPpnt\ncoBjCoVC+v73v6+rr75a8+fP5/sq0o4AmkYvv/yygsGgnnjiCX3/+9/XT3/602yXBBzTqlWrVFVV\npd///vd65JFH9OMf/zjbJQHdCoVCuvPOO1VaWprtUoBurVu3Tu+9957+8Ic/6NFHH9W+ffuyXRJw\nTK+99prC4bAef/xx3Xjjjfr5z3+e7ZJQ4AigafTOO+/ooosukiSNHTtWmzdvznJFwLFdeuml+u53\nvytJMgxDFoslyxUB3VuyZImuvvpq9e/fP9ulAN36+9//rlGjRunGG2/Ut7/9bU2YMCHbJQHHNHz4\ncEUiEUWjUXk8Hlmt1myXhALHV1gaeTweuVyuxPsWi0XhcJh/2Mg5TqdTUuxr9qabbtLNN9+c5YqA\nY/vjH/+o6upqXXTRRXrooYeyXQ7QrdbWVu3Zs0fLly/X7t27dcMNN+ivf/2rTCZTtksDDlNWVqaG\nhgZNnTpVra2tWr58ebZLQoGjA5pGLpdLXq838X40GiV8Imft3btXCxcu1MyZMzVjxoxslwMc09NP\nP60333xTCxYs0EcffaRbb71VTU1N2S4LOEpVVZUuvPBC2e12jRgxQiUlJTpw4EC2ywKOsmLFCl14\n4YV68cUX9cwzz2jx4sUKBALZLgsFjACaRueee65ef/11SdLGjRs1atSoLFcEHFtzc7OuvfZaLVq0\nSLNnz852OUC3fve73+mxxx7To48+qjPPPFNLlixRTU1NtssCjjJu3DitXbtWhmFo//798vv9qqqq\nynZZwFEqKipUXl4uSaqsrFQ4HFYkEslyVShktOPS6Mtf/rLeeOMNXX311TIMQ/fcc0+2SwKOafny\n5ero6NCyZcu0bNkySdLDDz/MkBcAOEkTJ07U+vXrNXv2bBmGoTvvvJP99chJX//613X77bdr/vz5\nCoVCuuWWW1RWVpbtslDATIZhGNkuAgAAAABQ+FiCCwAAAADICAIoAAAAACAjCKAAAAAAgIwggAIA\nAAAAMoIACgAAAADICAIoAAAAACAjCKAAgIxavHixli9frm9+85vZLqVbu3fv1qRJk07qY//4xz9q\n8eLFKa4oP73//vtaunRptssAAOQQAigAIOP69++vhx9+ONtlIM22b9+ulpaWbJcBAMghBFAAQFoZ\nhqF7771XU6ZM0YIFC7Rz505JSnQYFy9erG9/+9uaOnWqVq9erffff1/z5s3TFVdcoWuvvVa7du3q\n9rE3b96sOXPmSJJ8Pp9Gjx6tTZs2SZLuvPNOPf/889q2bZsWLFigWbNmaeLEifrtb38rSbr//vt1\n3XXX6Stf+Yp+97vfacuWLbriiit0xRVX6IEHHkj6efn9fn3/+9/X9OnTNWPGDP35z39OXKuvr9dX\nv/pVTZs2TT/72c9kGIY8Ho++9a1v6corr9SVV16pV155JXHff/u3f9MVV1yhefPmacuWLUe9Li+/\n/LKuv/76xOM/9thjuvvuuxWJRHTvvffqiiuu0GWXXaYVK1ZIktatW6fZs2fryiuv1K233trt5xAI\nBHT77bdrypQpmj59up5//nlJ0saNGzVnzhxddtlluuaaa1RfXy9JWrBggdatWyfp8C7x4sWLdffd\nd2vevHmaNGmSnn76aXV0dOiXv/ylVq9erV/96ldJX08AQHGwZrsAAEBhe/HFF7VlyxY9++yzcrvd\nuuyyy466T1VVlZYvX65gMKjZs2dr+fLlGjx4sNauXasf/OAHiWB1pLPOOkuNjY1yu9167733VFFR\nobfffluf+cxn9I9//EOLFi3SL3/5S/37v/+7zj//fO3atUuXXXaZFi5cKEkKBoOJ0DVjxgzddttt\nuuCCC/TAAw8kglZ37r//fvXp00fPPvusDhw4oDlz5uiMM86QFAtnzzzzjFwul6655hq98sorcrvd\nqq2t1UMPPaS6ujo99dRTmjx5sm699Vbdeeed+vSnP63t27frxhtv1IsvvnjY6xIKhXTXXXepvb1d\nlZWVevbZZ3X77bdr5cqVkqQ//elPCgaDuu666zR69GhJ0ieffKI1a9aovLy828/h0Ucflc/n0wsv\nvKCWlhZ9/etf18UXX6zvfe97+vnPf64xY8bohRde0Pe+9z09/fTTx3099u3bp9///vfatm2bFi5c\nqFmzZummm27S22+/rRtuuOG4HwsAKB4EUABAWr399tu65JJLZLPZVF1drS996UtH3WfMmDGSYqFp\n165dhwUWj8fT7WObTCZ98Ytf1Lp16/Tuu+/qmmuu0fr16zVx4kQNGjRI5eXlWrx4sdauXasHH3xQ\nW7dulc/nO+p5Dxw4oMbGRl1wwQWSpCuvvDJp4Hrrrbd0zz33SJKqq6s1efJkvf3223K5XJo0aZKq\nq6slSVOnTtXbb7+t+fPn67//+7+1f/9+TZgwQTfeeKO8Xq82b96s2267LfG4Pp9Pra2th9Vns9l0\nySWX6KWXXtIFF1ygtrY2jRkzRo888og++ugjvfXWW4mP3bp1qz71qU9p+PDhxw2fkrR+/XpdddVV\nMpvNqqmp0XPPPadt27apoqIi8dxTp07VnXfeKbfbfdzH+uIXvyiTyaRRo0apra3tuPcFABQvAigA\nIK1MJpOi0Wjifav16P/0lJaWSpKi0aiGDBmiZ555RpIUiUTU3Nx83McfP368/vGPf2jz5s363//9\nXz3xxBNas2aNJk6cKEm6+eabVVFRoYkTJ+orX/mKnnvuuaOe12QyyTCMxO0WiyXp53Xo/ePvRyKR\noz5HwzBktVp16qmn6oUXXtDatWu1Zs0a/frXv9aTTz4pu92e+HylWCexqqrqsPok6bLLLtMvfvEL\ntbe3a/r06YnXZ9GiRbrkkkskxYJ0WVmZNm3adNjHdufIv4v6+vrD/q6O9bnFP+9wOHzYfUpKSiTF\nXksAALrDHlAAQFqdf/75+utf/6pgMKj29natXbu22/uOGDFC7e3t2rBhgyTp6aef1n/+538e9/G/\n+MUv6u9//7vMZrNcLpfOPPNM/fa3v9WECRMkSW+88YZuuukmXXzxxVq/fr0kJcJUXJ8+fTR48GC9\n+uqrkqRnn3026ef1hS98QU899ZSkWPB75ZVXdN5550mSXnvtNXV0dCgQCOi5557TBRdcoMcee0z3\n33+/pk6dqv/6r//SgQMHZBiGTj311EQAfeONN/TVr371mM83duxYNTY26plnntHMmTMTNaxcuVKh\nUEher1fz589P7IHtic997nN64YUXZBiGWlpa9LWvfU21tbVqa2vT+++/L0l6/vnnNXjwYFVVValP\nnz7avn27JOnll19O+vgWi+WooAoAKG50QAEAaXXxxRfrgw8+0PTp09WvXz+NHDmy2/va7Xb94he/\n0E9+8hMFAgG5XC4tWbLkuI/vcrk0cOBAnX322ZJioWz79u0aPny4JOk//uM/NH/+fFVUVGj48OGq\nra3V7t27j3qcpUuX6rbbbtPPf/5zjR07NunndeONN+quu+7SjBkzFIlE9O1vf1tnnXWWtm7dqhEj\nRuhb3/qWOjo6NH36dF144YUaO3asvve972nGjBmyWq36zne+o4qKCi1dulR33XWXHnnkEdlsNt13\n333ddhGnTp2qv//97xo6dKgk6eqrr1Z9fb2uuOIKhcNhXXnllfr85z+fdP9q3Pz583X33Xcn9uX+\n4Ac/UHl5ue677z79+Mc/lt/vV2Vlpe677z5J0je+8Q0tXrxYTz/9tCZPnpz08ceMGaP/+Z//0c9+\n9rOkv0gAABQHk3HkGiIAAAAAANKADigAIOctWbJEb7755lG3jx49Wj/5yU/S9rwrVqzQn/70p6Nu\nz6dzTJ9//nk9+OCDx7x26N5TAAAygQ4oAAAAACAjGEIEAAAAAMgIAigAAAAAICMIoAAAAACAjCCA\nAgAAAAAyggAKAAAAAMgIAigAAAAAICMyfg5oU5M7008JAAAAAMiQmprybq/RAQUAAAAAZAQBFAAA\nAACQEQRQAAAAAEBGEEABAAAAABlBAAUAAAAAZAQBFAAAAACQEQRQAAAAAEBGEEABAAAAABlhzXYB\nAHrv1Y0Nvfr4CWNrU1QJAAAA0D06oAAAAACAjCCAAgAAAAAyggAKAAAAAMgIAigAAAAAICMIoAAA\nAACAjCCAAgAAAAAyggAKAAAAAMgIzgEF8tif1+6Qs9Qmm43fJQEAACD3JQ2goVBIt99+uxoaGhQM\nBnXDDTdo8uTJiesrVqzQk08+qerqaknSD3/4Q40YMSJ9FQNIeGHdTlWU2TTtglOzXQoAAACQVNIA\numrVKlVVVWnp0qVqa2vT5ZdfflgA3bx5s5YsWaLRo0entVAAhwuGIgqFo2p1BxU1DJlNpmyXBAAA\nABxX0gB66aWXasqUKZIkwzBksVgOu/7hhx/qoYceUlNTkyZMmKDrr78+PZUCOIy3MyxJihqG/IGw\nnKW2LFcEAAAAHF/SAOp0OiVJHo9HN910k26++ebDrk+bNk3z58+Xy+XSd77zHa1Zs0YTJ05MT7UA\nErydocTbPj8BFAAAALmvR5NL9u7dq4ULF2rmzJmaMWNG4nbDMHTNNdeourpadrtd48eP15YtW9JW\nLICDfF0dUEnyHBJGAQAAgFyVNIA2Nzfr2muv1aJFizR79uzDrnk8Hk2fPl1er1eGYWjdunXsBQUy\nxOs/pAN6SBgFAAAAclXSJbjLly9XR0eHli1bpmXLlkmS5syZI7/fr7lz5+qWW27RwoULZbfbdf75\n52v8+PFpLxrAwT2g0uFhFAAAAMhVJsMwjEw+YVOTO5NPBxSsF9/eqSdWb5ckDe3v0sRza0/6sSaM\nPfmPBQAAAA5VU1Pe7TVOrwfy1GFDiNgDCgAAgDxAAAXyVHwJrsl0+HJcAAAAIFcRQIE8Fd/3ObC6\nTJ3BiMKRaJYrAgAAAI6PAArkqXjXc2h/lyQm4QIAACD3EUCBPOXrDMlmNWtAnzJJh+8JBQAAAHIR\nARTIU15/WM5Sq/pWlibeBwAAAHIZARTIU97OkJwOm6rLSyQxCRcAAAC5jwAK5KGoYcjXGZazxKrq\nilgH1MMeUAAAAOQ4AiiQh/yBsAwp1gGtoAMKAACA/EAABfJQ/AgWZ6lNpXar7DYzZ4ECAAAg5xFA\ngTwUD5tlpVZJsSDq9YdkGEY2ywIAAACOiwAK5KH4kStOh01SLIiGI4ZC4Wg2ywIAAACOiwAK5CFf\nVwfUeUgHVOIsUAAAAOQ2AiiQhw7dAxr709p1O/tAAQAAkLsIoEAeih+54nR0dUAddEABAACQ+wig\nQB6KH7lyVAeUSbgAAADIYQRQIA/Fl9oeuQfURwAFAABADiOAAnnoWFNwpYN7QwEAAIBcRAAF8pC3\nMyyTJEdJLHiazSY5SqwswQUAAEBOI4ACecjbGVJZqVVmkylxm7PUKl9nSIZhZLEyAAAAoHsEUCAP\nef2hxL7POGepVVFD8gciWaoKAAAAOD4CKJCHfJ3hxL7POI5iAQAAQK4jgAJ5JhiKKBiOJgJnXDyQ\nMgkXAAAAuYoACuSZ+KAh55Ed0K4luUzCBQAAQK4igAJ5xhc/guXIPaCOrqNY6IACAAAgRxFAgTyT\n6IA6uumAsgcUAAAAOYoACuSZeMAsKzm8A1pqt8hsMtEBBQAAQM6yJrtDKBTS7bffroaGBgWDQd1w\nww2aPHly4vrq1av1wAMPyGq1atasWbrqqqvSWjBQ7Lz+Y3dATSaTnA5rYokuAAAAkGuSBtBVq1ap\nqqpKS5cuVVtbmy6//PJEAA2FQrr33nv11FNPyeFwaN68eZo0aZL69euX9sKBYhXvgLqO2AMqxSbh\n7j/gVyQalcXMAgcAAADklqQ/oV566aX67ne/K0kyDEMWiyVxra6uTsOGDVNlZaXsdrvGjRun9evX\np69aAIkltkeeAyod3AfKUSwAAADIRUk7oE6nU5Lk8Xh000036eabb05c83g8Ki8vP+y+Ho8nDWUC\niIt3QI88B1Q6eDSL1x9WeZk9o3UBAAAAyfRojd7evXu1cOFCzZw5UzNmzEjc7nK55PV6E+97vd7D\nAimA1Iuf83nkMSyH3sYkXAAAAOSipAG0ublZ1157rRYtWqTZs2cfdm3kyJGqr69XW1ubgsGgNmzY\noHPOOSdtxQI4uLzWeawluJwFCgAAgByWdAnu8uXL1dHRoWXLlmnZsmWSpDlz5sjv92vu3LlavHix\nrrvuOhmGoVmzZmnAgAFpLxooZt7OkGxWs+w2y1HXyhJ7QOmAAgAAIPckDaB33HGH7rjjjm6vT5o0\nSZMmTUppUQC65/WHj9n9lOiAAgAAILdxTgOQZ7ydoWPu/5Qku9Uim9Wc2CcKAAAA5BICKJBHooYh\nX2f3HVAptjeUDigAAAByEQEUyCP+QFiGDu71PBZnqU2hcFTBcCRzhQEAAAA9QAAF8ki8sxnf63ks\nZV3dUZ+fLigAAAByCwEUyCPHOwM0zungLFAAAADkJgIokEeOdwZoXPwa+0ABAACQawigQB6JdzXj\nXc5jiXdHmYQLAACAXEMABfJIz5bg0gEFAABAbiKAAnnE24MluIkhRARQAAAA5BgCKJBHerIE12I2\nq9RuYQgRAAAAcg4BFMgjXn/yDqgUC6jezrAMw8hEWQAAAECPEECBPBLvapYdZw+oFAuo0aihzmAk\nE2UBAAAAPUIABfKItzMsk6SykiQd0PgkXPaBAgAAIIcQQIE84u0MqazUKrPZdNz7Jc4C5SgWAAAA\n5BACKJBHfJ3hxJTb4ynrGlLEJFwAAADkEgIokEe8/tBxzwCNS3RAmYQLAACAHEIABfJEKBxRMBxN\nOgFXYg8oAAAAchMBFMgT8TB5vDNA4xwlFplN7AEFAABAbiGAAnkiHiZ7sgTXZDKprNRGBxQAAAA5\nhQAK5Il4mOzJECIptg/UHwgrGjXSWRYAAADQYwRQIE/EBwr1pAMqHQyqTMIFAABAriCAAnnC64/v\nAe1pBzQ+iIh9oAAAAMgNBFAgT/hOsAMaD6rsAwUAAECuIIACecITn4Lb4z2gdEABAACQWwigQJ5I\n7AHtwTEssfuxBxQAAAC5hQAK5AlfogPa0yFEXR1QzgIFAOD/s3fn8VGW5/7Hv8/sk5kshEBY44Li\ngijghnUBoRQ9iFq0BWmhi/bYvnqO9fysredUqVWLWm2PFeva1ra2HqVuFdtaKy60YBHRgKiAgrIv\nISszmf15fn9MZgAJZJstk8/79WpDZr0yBibfXPd93QAKRKcC6KpVqzRnzpyDLv/Nb36jadOmac6c\nOZZ3U0sAACAASURBVJozZ442btyY8QIBJO07B7RzS3BdDpscdoM9oAAAACgYHf4k+8gjj+j555+X\n1+s96Lo1a9bozjvv1EknnZSV4gDsEwzH5LDb5HLaO3V7wzDk8zjZAwoAAICC0WEAramp0YIFC/S9\n733voOvee+89Pfzww6qrq9PEiRN19dVXZ6VIAMlptp09giWlxONQczCqeMKUw86K+097rXZbt+87\ncczQDFYCAADQN3T4E+nUqVPlcLT/Q++0adN0880367e//a1WrlypV199NeMFAkgKhmLyd3L/Z4rX\nnfy7G4qwDBcAAAD51+2WiGVZ+spXvqLKykq5XC5NmDBB77//fiZrA9DGtCy1RuIq6eT+zxSPK7lc\nNxxNZKMsAAAAoEu6HUADgYAuuugiBYNBWZal5cuXsxcUyJJwJC7L6vwE3BQ6oAAAACgkXWunSFq0\naJFaW1s1c+ZM/dd//Zfmzp0rl8uls846SxMmTMhGjUCfF0gdwdLFPaB0QAEAAFBIOvXT7LBhw7Rw\n4UJJ0vTp09OXX3rppbr00kuzUxmAtNZw6giW7nVAw3RAAQAAUAAYiwn0AsFQWwe0m3tAQ3RAAQAA\nUAAIoEAvkDrL0+elAwoAAIDeiwAK9ALBtj2gXZ2C63bSAQUAAEDhIIACvUAwlOyAdvUcUJvNkMdl\npwMKAACAgkAABXqB7i7BlZL7QOmAAgAAoBAQQIFeoLtLcCXJ43YoFjeVSJiZLgsAAADoEgIo0Auk\nluB29RgWSfIyCbdD726s18btLfkuAwAAoOgRQIFeIN0BdXejA+pqm4QbZR9oe+qaQnpn/R6t+mhP\nvksBAAAoegRQoBdoDcdU4nbIZjO6fF+vO9kBDUfogLbn3Q31kpIh37KsPFcDAABQ3AigQC8QDMfl\n83a9+yntOws0RAf0IA0tYW2tC0qSTNNSmGXKAAAAWUUABXqBYDimkm7s/5T2W4JLB/Qgqe5nhd8l\nad9eWwAAAGQHARQocLF4QtGYKX83JuBKkqdtCW6Is0APsG1PUJt2BdS/zKNjhpVL2rfXFgAAANnR\nvZ9oAeRMKhR15wxQSfK6Uktw6YDu7y9vfCJJGj2iMn0ZHVAAAIDsogMKFLh9Z4B2dwluaggR3b2U\nXY2t+tf7u9Sv1K3hA/3p420CYQIoAABANhFAgQK37wzQ7i1YsNkMuZ12Buzs5y9vbJJlSaOPrpRh\nGOkBT8EQIR0AACCbCKBAgQuGUwG0ex1QKbkPlCm4SfXNYS1bs1ODKktUM6hUkuR22mW3GenXGgAA\nANlBAAUKXGtqD2g3O6BSch9oNGYqYXLO5V+Wb1LCtDTtrCNkM5Lnqia7oE46oAAAAFlGAAUKXHoJ\nbjeHEEn77QPt413Qxr0R/WPVDlWVezR+VPUB1/k8DkViCcXiZp6qAwAAKH4EUKDABTLRAXVzFqgk\n/e3NzYonTE076wjZbQf+85cK+CzDBQAAyB4CKFDgWjOxB7StA9qX94G2tEb1Wu029St16zMnDT7o\nen8qgLIMFwAAIGsIoECB6+k5oJLkoQOqv6/YomjM1L+NP0JOx8H/9KU6zHRAAQAAsocAChS41B7Q\nkh4NIerbHdBgOKbFK7eqzOfSuScf3P2U9nWYU683AAAAMo8AChS4YDguh90mVztdu87q6x3QxW9t\nVTia0AVn1MjltLd7m/RZoOG+GdIBAABygQAKFLhgOCaf1yGj7ciQ7ujLHdBILKG/v7VFfq9TE8cO\nOeTtSuiAAgAAZB0BFChwreF4jwYQSZLH3XYMSx/sgG6tCygYjuvME6vlcR16GbPdZqjE7aADCgAA\nkEUEUKCAmZaV7ID2YP+nJNltySW8ffEc0LqmkCRpUGVJh7f1eR0KhmMyLSvbZQEAAPRJnQqgq1at\n0pw5cw66/JVXXtFll12mmTNnauHChRkvDujrwpG4LKtnR7CkeNwOhfpgB7SuKSxJGlDh7fC2Po9T\nliWFIn0vqAMAAORCh22VRx55RM8//7y83gN/eIvFYrr99tv11FNPyev16oorrtCkSZNUVVWVtWKB\nviZ9BEsPO6BSch9oSzAq07Rks3V/P2lvk+qADqjwdHhbn3ffPtBMhH4AAAAcqMMOaE1NjRYsWHDQ\n5Rs2bFBNTY3Ky8vlcrl06qmnasWKFVkpEuirUmdS9uQM0JT0JNxo3+qC7mkKyZBUVd6JAJo6CzRE\nBxQAACAbOgygU6dOlcNxcPclEAiotLQ0/bnP51MgEMhsdUAflwpCmeqASupz+0DrmkKqKHXL6Wj/\n+JX9+duCfiDMJFwAAIBs6PYQIr/fr2AwmP48GAweEEgB9FyqA1qSoT2gkvrUPtB4wlRDS6RT+z+l\n/c4CpQMKAACQFd0OoCNGjNCmTZvU1NSkaDSqt956S2PHjs1kbUCfl94D6qUD2h31zWFZ6tz+T2nf\nsKcgHVAAAICs6PJPtYsWLVJra6tmzpypG264QVdeeaUsy9Jll12m6urqbNQI9FnBUNse0Ex2QPvQ\nHtB9A4g61wF1Oe1yOmzp1x0AAACZ1akAOmzYsPQxK9OnT09fPmnSJE2aNCk7lQFQa3oKbs8DaLoD\n2oeOGOlqAJWS+21TnWcAAABkVreX4ALIvkB6Cm7Pl+D2xSm4XTkDNMXndSoWNxWN9Z3XCQAAIFcI\noEABy+QS3FQHNEQH9LDYBwoAAJA9BFCggKWW4Ja4e94BtdttcjpsfS6Aupw2lZV0PsD727rNASbh\nAgAAZBwBFChgwXBMJW6HbDYjI4/ncdn7zBJcy7K0uymkARVeGUbnX790B5RBRAAAABlHAAUKWDAc\nV4mn593PFK/boUg0IdOyMvaYhSoQiikcTWhAeeeX30rJPaCSGEQEAACQBQRQoIAFw7F0IMoEj8su\nS1KkD3RBuzOASNo38IkOKAAAQOYRQIEClZzEasqf4Q6oJIWjxd/d2zeAyNOl+3ndDhkGQ4gAAACy\ngQAKFKjWtgBUkoEJuCme9CTcvtAB7foEXEmyGYZ8HidDiAAAALKAAAoUqD3NySWkFX53xh7T6+qL\nHdCuBVBJ8nkcCkXiSpjFv1cWAAAglwigQIHaXh+UJA2uKsnYY3rcfa8DWlXetSW40r5BRK0swwUA\nAMgoAihQoHbUt0qShvT3Zewx+1YHNKwKv0sup73L9/V5UoOIiv91AgAAyCUCKFCgdrYF0MH96YB2\nVTxhqmFvWAO7sfxW2v8oFjqgAAAAmUQABQrU9vqg/F6nSktcGXtMTx/pgNa3hGVZ3dv/KUm+tsFP\nHMUCAACQWQRQoADF4gnVNYU0JIPdT0lyOmxy2I2i74D2ZACRJPnbzgINhIs7qAMAAOQaARQoQLsa\nQrIsaXBV5vZ/pnhcjqLvgNY1JScIdzeAltABBQAAyAoCKFCA0hNwKzPbAZUkr9uucDQhyyreI0Z6\n2gF1OmxyO+0K0gEFAADIKAIoUIBSE3Cz0QH1uh2yLCkSK95luPsCaNePYEnxeR0KhmJFHdQBAABy\njQAKFKAdqQ5ohveASpLHlZyEGy7ifaB1TSG5HDaV+bo/wMnncSphWkUd1AEAAHKNAAoUoB31rXI5\nbaos634H71BSk3BDRboP1LIs1TWFNKDCK8Mwuv04/tRRLJwFCgAAkDEEUKDAmKalnQ2tGlzpk60H\nAepQvO7i7oAGw3GFIolu7/9M8XnaJuEyiAgAACBjCKBAgdnTElYsbmpwVeaX30rF3wFN7f+s6sH+\nT0nypTqgYQIoAABAphBAgQKzY0/2JuBKxd8B7ekE3BRf21mgLMEFAADIHAIoUGDSE3D7Z34CrtR3\nOqA9X4JLBxQAACDTCKBAgUmfAZqFI1ik5DEskhSOFmsHNCyp5wHU47LLZjPogAIAAGQQARQoMDvq\ng7IZhqr79SxAHYrDbshuMxSOFGewSu8BLe/ZHlDDMOTzOOiAAgAAZBABFCgglmVpZ32rBvbzymHP\nzl9PwzDkdTsUKtoOaEjlfpfcTnuPH8vvdSocTSieMDNQGQAAABwd3cA0Td18881at26dXC6Xbrvt\nNh1xxBHp62+77Ta9/fbb8vmSywXvv/9+lZaWZq9ioIi1tMYUDMc1cnhFVp/H47KroSUsy7J6dFZm\noYknTDW0RHT00LKMPF56H2gornK/KyOPCQAA0Jd1GEBffvllRaNRPfnkk6qtrdUdd9yhBx54IH39\ne++9p1/+8peqrKzMaqFAX5CagDskS/s/Uzxuh0xLisZMuV097xQWioaWsEzL0oDyzCxfTk/CDccI\noAAAABnQ4Rq/lStX6txzz5UkjRkzRmvWrElfZ5qmNm3apHnz5mnWrFl66qmnslcp0AfsaBtANChL\nR7CkeNtCZ7FNwt03gKhn+z9TmIQLAACQWR12QAOBgPx+f/pzu92ueDwuh8Oh1tZWffnLX9bXvvY1\nJRIJzZ07VyeddJKOP/74rBYNFKvtbUew5KIDKrWdBerv4Ma9SGoA0cAMDXDiLNADffBJg4ZXl8rv\ndea7FAAA0Et1GED9fr+CwWD6c9M05XAk7+b1ejV37lx5vckf9saPH6+1a9cSQIFuogPaM5k6AzQl\nFbSCITqg67c06a4najVsoF+Txg3t9uNMHNP9+wIAgN6vwyW448aN05IlSyRJtbW1GjlyZPq6Tz75\nRFdccYUSiYRisZjefvttjRo1KnvVAkVuR32r+pW602d1ZssBHdAikukAWuJJvk4BluBq8cqtkqSt\nuwNqaAnnuRoAANBbdfhT7pQpU7R06VLNmjVLlmVp/vz5evTRR1VTU6PJkyfrkksu0Re/+EU5nU5d\ncsklOvbYY3NRN1B0QpG4GvdGNOrIfll/rlQHNFx0HdCwnA6byn2ZGRhkt9nkddv7/BLcpkBEb6+v\nazsXNa7VG+o1cSydTAAA0HUdBlCbzaZbbrnlgMtGjBiR/vNVV12lq666KvOVAX3Mzobk/s/B/bO7\n/1OSPK7kX/1iOwu0rimkARXejB4t4/M4i/LImq54vXa7EqalGRNG6C//2qTNuwJq3BtRv1J3vksD\nAAC9THZOugfQZdvbjmAZnOUBRJLkdbd1QCPF09kLhmNqjcQ1oDwzE3BTfF6nTEsKFdly5c6KJ0y9\nVrtNXrddZ42q1ikj+kuS3t1Qn+fKAABAb0QABQrEjrYJuIOzPIBIkpwOm2w2o6g6oJne/5ni8+w7\nC7Qvqv1wj5oDUX3mpMHyuBwaOsCnyjK3Ptm5V82BSL7LAwAAvQwBFCgQqQm4ueiAGoYhr8teVB3Q\nfWeAZjiAtk3CDfTRSbivvJ0cPpSafGsYhkYf3dYF3diQt7oAAEDvRAAFCsT2+lb5PA6VleTmjEWP\n26FQNCHLsnLyfNmWrQ5o+iiWcPGE9c7aVhfQ2s1NOuGIfgfsTa6p9qvC79LHO1q0tzWaxwoBAEBv\nQwAFCkA8YaquMaTB/X05G3TjddllmpZicTMnz5dt+wJohveAppbg9sEO6CvvbJMkTRo37IDLDcPQ\n6BH9ZVl0QQEAQNcQQIECsKsxJNOyNLh/9vd/pqTPAi2SfaCpAFqVpSW4fS2AhiJxLVuzU/1K3Rpz\nbP+Drj9iUKnKfC5t2NasQGvfem0AAED3EUCBArAjNQE3B0ewpKTOAg0VyT7QuqaQyn0uuZ32jD6u\ny2GTw270uSW4y9bsVCSa0MQxQ2S3HfxWYTMMnTyiUpYlrfmYibgAAKBzCKBAAUgPIMplB9RVPB3Q\nhGmqvjmS8f2fUnK5qc/rVDAUK5r9sh2xLEuvvrNNdpuh88YMPeTtjhxUptISpz7a2qLWPjolGAAA\ndA0BFCgA6SNYcjABN8XjLp4OaENLRKZlZXz/Z0o/v1vRuJmetFvs1m1u0vY9QZ12/ECV+1yHvJ3N\nZuiko/vLtCyt+Zi9oAAAoGMEUKAAbK8PyumwqaosOwGqPd4i6oBmawJuyrHDyyVJ6zY3ZuXxC82n\nj145nBFDyuTzOPThluai+GUGAADILgIokGemZWlnfasGVZbIZsvNBFypuDqg2Q6ggypLVO5zadPO\nvUXxeh1O496I3l6/R8MH+nXM0PIOb2+zJc8FTZiW3qMLCgAAOkAABfKsoSWsaNzM6f5Pqdg6oMml\nsdkKoIZh6LiaCpmW9OHW5qw8R6F4vXabTMvS+eOGdvpIoBHDylTicWj9liaFo8Ud0AEAQM8QQIE8\nS+3/HJLDCbiS5HLaZDPogHbW0UPL5LAbWr+lSaZZnMOI4glTr9dul9ft0FknDur0/ew2m046qlLx\nhKX3Pu4by5QBAED3EEBRsMw+MnE0fQRLDgcQScmunsflKJIOaEhOh03l/kMPzOkpl8OuEUPL1RqO\na8vuQNaeJ5/eXl+n5mBUZ48eJLera8fZHDusXF63Q2s3NSrQx85MBQAAnefIdwHApz35yod6a22d\nwtG4pp5ZI7/X2aX7TzzMsRGFaHtqAm5lbpfgSsl9oC3BaM6fN9PqmkKqKvfI1sklo911XE2F1m1u\n0rrNTVl9nnx55e1tkqRJ44Z1+b52u02nHlelf67eqZVrd2vC2N719xAAAOQGHVAUjD1NId3/3Br9\n7c0tqm8JKxiO69W3tykWN/NdWlbtqA/KMKTqPARQr8uheMLq1fv2guGYguF4VpffplT43RpUWaKd\nDa3a1ta5Lhabd+3V+i1NGnVkPw3q5vfiUYPLNKDCo027AumzbQEAAPZHAEXehaNxPbNkg/7nkeV6\na+1uVZV7dOH4Go0cXq7GvRH9c/UOWUW8HHdHfasGVHjldOT+r2NqEm5v7oLuyfIAok87rqZCkvRq\n21ElxSCeMPXoX9ZKkqacXtPtxzEMQ2ecUC1JWvHB7qLdKwsAALqPAIq8MS1LS9/dof9++F96Ydkm\nlZY49Y3pJ+rC8TUaUOHVGSdUa1BlibbsDqj2wz35LjcrWlqjCoRiOR9AlFLatrx52ZqdeXn+THh3\nY70kaWCOAujwgX6VeBxaumZnUQxwkqRn/7FRm3bt1TmjB+vkEf179Fj9yz06dli5mgLRol2qDAAA\nuo8AirzYuL1FP/7dW/rVnz9Qaziui88+UvO/MV5njRqUPvrBZjN03pghKi1x6t2NDdq4vSXPVWfe\nztT+zxwfwZJy3BH95Pc6tWjpJ3r/k953huP6LU167h8fq9zn0hknVufkOW02QyOHVygSTfTq4J6y\ndlOjXvzXZg2s8OqKzx6bkcccO7JKLodNtR/t6dXLuwEAQOYRQJFztR/u0R1/WKmPd+zVmSdWa/43\nxuvSc49ud+qmx2XX+eOGyumwadmanenjNorF9rZ9coPz1AF1O+0675TBstkMPbzofTUHInmpozua\nAxE98Kc1kqRvXjJK5b7sTcD9tGOHlctuM/TK21t79fLwYDimR154X4Zh6BsXnyivOzNz6Twuh045\ntkqxuKl31hfn6gUAANA9BFDk1Ftrd+sXz74rm83Q//viKbr64lHqX+457H0q/G6dd8oQWaal197Z\npmC4eI542LGnrQNalZ8OqCRVVXj1xfOPUUswqoeef69X7NtLmKYe/NN7ag5EdfnEETqupl9On9/r\nduj04wdqR32r1vbSZaaWZem3L65T496ILj7nSI0YUp7Rxz9ueIUq/C59uLVZ9c3hjD42AADovQig\nyJl/vbdTD/7pPTkdNv2/L47RSUd3fq/Z0AE+nXr8AIUiiaKajJuaFDq4Mj8d0JTPnjZMY4+t0trN\nTXp+6cd5raUznn59o9ZtadKpIwdo6hnD81JD6qiSV1b2zmFEy9bs1Ftrd+uYYeWadtYRGX98m83Q\n6ScMlCS9+cGuXt0pBgAAmUMAzSDLsrRmY71eXL5ZtR/t0Z7mED90tfnHqu16ZNH7crvsum7WGI0c\nXtHlxzjhiH46Zli5GloiWvZucUzG3VEfVLnfpRJPfo/kNQxDX592gqrKPQW/H3Tlut16cflmVffz\n6uvTTkjvGc61EUPLVDPQr3c+3KOGlt7V4dvd2Krf/329vG67/v2iE2W3ZeetYHB/n46o9quuKVyU\ne7gBAEDX5fen3iJhmpbeWrdbf3ljkzbvDhxwndNuU0WpSxV+typK3erX9tHTzn7HT5s4pjgOcn/1\nnW167G/r5PM49N1ZY3XEoNJuPY5hGDrzxGrtDUa1aVdAqz6q15hjqzJcbe6Eo3HVt0R0whG5XT56\nKD6PU9+85CTd/vuVenjR+/rR105Xud+d77IOsLOhVb/68wdyOW369ozRGduz2B2GYWjSqcP0m7+u\n1Wu12zXjvKPzVktXxBOmHl70viLRhL4x/URVZXl68KnHD9TWuqDeXl+nmuru/d0HAADFgwDaA7G4\nqWVrduivyzdrd2NIhiGdccJAjT12gHY3Jg+qX7elSXuaw6prOrBDMnSATyOHV2holU82W346OLnw\n0ootemLxhyotcer6WWM1bKC/R49ntxmaMHaI/vLGZq3eUK9dDa068ahKDRvgy1snrLs2bEt2hPI1\nAbc9Rw8p0xfPP0b/t/hDPfT8e/rurLEF8/0ZiSb0i2ffVbgtOA0b0LPvpUw488Rq/fHVj7Skdpum\nf+bIvJzl2lUvLPtEG7e3aPyJ1Tpr1KCsP5/f69RJR1dq1Uf1Wr2hXlNOy8+SaQAAUBgIoN0Qjsb1\neu12/e3NzWoKROWwGzrvlCG6cHyNqvsdGCZeq92mhGmqJRhV496omgIR7axv1ba6oLbVBeV1O3Ts\nsHIdM6xc/rYzGYvFn9/4RE+/vlHlfpeunzVWQ6oys8/R43Los6cN05sf7NL2Pa3a1bhNpSVOnXhk\nP40YmtlBKpkWjsa1Yu1u/WP1Dn20tVmSCq4r9NnThmnt5ka98+EePb/0Y116bv47e5Zl6Xd/W6tt\ndUGdP25oToJTZ7iddp09erBeWrFFK9ft1vgCqetQPtrarEXLPlH/Mre+/LmROXveUUdV6qOtzfrg\nkwbtbGjVoMrC+aULAADIrQ4DqGmauvnmm7Vu3Tq5XC7ddtttOuKIfQMrFi5cqCeeeEIOh0Pf+ta3\ndP7552e14FyzLEuNeyPa2dCqHfWt2l4f1Jvv71IwHJfbadfUM4brc6fXqF/poZcq2m029Sv1qF/p\nvmmvDS1hfbi1WRu3t2j1hmRnYGiVT8cOL9ewAf6C6Tp1hWlaatib7Pau+miPXlqxRZVlbl1/xdiD\ngnlPlflc+uxpw9W4N6IPPmnUxu0tWv7+br3z4R61BKOaPG5YwSwftSxLH21r1j9W79CKD3YrEkvI\nkDTqyH465+QhOv34gfku8QCp/aA/enSFFi39RCOHV+jEIyvzWtNrtdv1xnu7dPSQMs2alJmzKjPl\n/HFD9fcVW7R45VadckxVXpcFH0o8YaqhJayHF70nSfrG9FEq8eTuF14Ou02nHT9Qr9du10N/ek9n\nnlitIVUlGtLfp8pyj2y9bPVCeyzLUjiaUEtrVIHWmDraol7icajM55LP4+h1qzcAAOgJw+pgkstL\nL72kV155RXfccYdqa2v10EMP6YEHHpAk1dXV6etf/7qefvppRSIRzZ49W08//bRcrkOfx1dXtzez\nX0GGrdvcqHWbm7SjoVU761u1s7FVkWjigNv4PA5NOW24Jp06rMOu5Wu12w57fSxuatPOvVrftlRX\nSp59WeZzaVBliUo8DnndDpW0/c/rSX7cf2jI/j+7GAf9oZssyZLafohKfoukvlMsSYmEqYa9EdU1\nhbSnKaS6prDqW8JK7HeER1W5R9+7YmyX95h19Jq1JxSJa93mJq3b3KRILCGH3dDpx1erutIrh93W\n9j9DDrtNdpuRvqzDnN/R9enXyTrg9Un9taprCmnpuzu1syF53Er/Mo/OOXmwzh49SFXlmdt7153X\nbH/t7TfeuL1Ft/9+pXwehyaMGSqHwyZn6nVM/7ntdTzcytNOzIpKmJai8YSicVPRmKlYPKFozFQ0\nnlAkZuqfq7fL43Lo5q+drsqywx/b0xU9ed32f83+d+EqvbuxXpLkdtmTe739LvUr3bf3u9zvlv1T\n33AHfXsd7vvNavePBwSdcDSupkBEDXsjatq772NLMJq+z0WfOUIzzhvR2S/zIN19zSzL0uu127V5\n14H75F1OmwZX+pKBtMqnqnLvAa9T8t83I/3vnJH+v25q5/vx0xeZpqWEaSlhmkokLMVNS4mE2XaZ\npWgsoZZgVM3B6AEfo92Yzm0zDHncdnldjvRHr9suh8Mmm2HIZhg6vqZC9rZ/u+x2Qw6bTYZh6NO5\ntUvfTz3Vie9Hy7JkWpZMM/VRyY+WJavttTSt1Ottpl9300p+tMzkNGWbzZCj7aPdbshuGLLbbcnr\njORraLMlX499f05e9+lw3+5Lks/834l/Hz99k0zM3+vwe+egO/T8ObMqVzMJC/116Clex84pgNfJ\n53Hq2GHlBf0LzAEDDr3Cr8Nf1a9cuVLnnnuuJGnMmDFas2ZN+rrVq1dr7Nixcrlccrlcqqmp0dq1\na3XyySdnoOzciydM3f1EbTpEOR02Vfcr0aD+JRpc2faxf4mGVvnkdHQ8RKgznA6bjmlbgtu4N6z1\nW5q1aede1TWGtLsxlJHnyIWyEqeOHFSqqgqvBlR4NKDcqzHHVqm05NC/jMgkr9uhMcdW6aSjK2W3\n2fTSii16472dOXnujjjsNo0/sVrnnDxYxx/Rr9d0e44eUqaZk47R4y9/qEXLPslrLQ67TVdfPCqj\n4TOTZk0+Rv3L3GrYG1Fj2/9Sv3TIJ6fDpn5+t0YOr1C/UreGV/vztgfTMAxNGDNExw3vpx31QW3f\nE9T2+ta2j0Ft2lXYv5w8FLvNUJnPpcH9fSrzuVTuc8lf4jzolw37f32WJUVjCYWiCYUjcYUiyV8c\nJFra/6lmxdrdWf0aAAC9z81fO73gtnF1VocBNBAIyO/fN+zDbrcrHo/L4XAoEAiotHTfF+7z+RQI\nBNp7mLTDpeFC8NxdF2f08b4w5fiMPl5fkInX7Iuf61uve7a+z6648ERdceGJWXnsQpCp123ADYrF\nigAAIABJREFUgFKdfHxh7//MlEy8ZqdkoA4AANA7dTiy0e/3KxgMpj83TVMOh6Pd64LB4AGBFAAA\nAACAlA4D6Lhx47RkyRJJUm1trUaO3Dc58eSTT9bKlSsViUS0d+9ebdiw4YDrAQAAAABI6XAIUWoK\n7vr162VZlubPn68lS5aopqZGkydP1sKFC/Xkk0/KsixdffXVmjp1aq5qBwAAAAD0Ih0GUAAAAAAA\nMqHDJbgAAAAAAGQCARQAAAAAkBME0CwwTVPz5s3TzJkzNWfOHG3atCnfJaFIxWIxXX/99Zo9e7Yu\nv/xyLV68ON8locjV19drwoQJ2rBhQ75LQRF76KGHNHPmTM2YMUN//OMf810OilAsFtN1112nWbNm\nafbs2fybhqxYtWqV5syZI0natGmTrrjiCs2ePVs//OEPZZpmnqvLHwJoFrz88suKRqN68skndd11\n1+mOO+7Id0koUs8//7wqKir0+OOP65e//KVuvfXWfJeEIhaLxTRv3jx5PJ58l4Iitnz5cr3zzjv6\nv//7Pz322GPauXNnvktCEXr99dcVj8f1xBNP6Nvf/rbuueeefJeEIvPII4/oxhtvVCQSkSTdfvvt\nuvbaa/X444/Lsqw+3TQggGbBypUrde6550qSxowZozVr1uS5IhSrCy64QN/5znckSZZlyW6357ki\nFLM777xTs2bN0sCBA/NdCorYP//5T40cOVLf/va39c1vflMTJ07Md0koQkcddZQSiYRM01QgEEif\ncQ9kSk1NjRYsWJD+/L333tMZZ5whSTrvvPO0bNmyfJWWd/xty4JAICC/35/+3G63Kx6P848bMs7n\n80lKfs9dc801uvbaa/NcEYrVM888o8rKSp177rl6+OGH810OilhjY6O2b9+uBx98UFu3btW3vvUt\nvfjiizIMI9+loYiUlJRo27ZtuvDCC9XY2KgHH3ww3yWhyEydOlVbt25Nf25ZVvrfMZ/Pp7179+ar\ntLyjA5oFfr9fwWAw/blpmoRPZM2OHTs0d+5cXXLJJZo+fXq+y0GRevrpp7Vs2TLNmTNHH3zwgb7/\n/e+rrq4u32WhCFVUVOicc86Ry+XS0UcfLbfbrYaGhnyXhSLzm9/8Ruecc47+9re/6U9/+pNuuOGG\n9FJJIBtstn2xKxgMqqysLI/V5BcBNAvGjRunJUuWSJJqa2s1cuTIPFeEYrVnzx59/etf1/XXX6/L\nL7883+WgiP3hD3/Q73//ez322GM64YQTdOedd2rAgAH5LgtF6NRTT9U//vEPWZalXbt2KRQKqaKi\nIt9lociUlZWptLRUklReXq54PK5EIpHnqlDMTjzxRC1fvlyStGTJEp122ml5rih/aMtlwZQpU7R0\n6VLNmjVLlmVp/vz5+S4JRerBBx9US0uL7r//ft1///2SkpveGRIDoLc6//zztWLFCl1++eWyLEvz\n5s1jfzsy7qtf/ar+53/+R7Nnz1YsFtN//dd/qaSkJN9loYh9//vf10033aSf/exnOvroozV16tR8\nl5Q3hmVZVr6LAAAAAAAUP5bgAgAAAAByggAKAAAAAMgJAigAAAAAICcIoAAAAACAnCCAAgAAAABy\nggAKAAAAAMgJAigAIOfmzJmj5cuX691339UPfvCDbj3G6tWrddddd2W4ss5J1d8dxx13XIar6b3m\nzJmT7xIAADnmyHcBAIC+a/To0Ro9enS37vvRRx+pvr4+wxUhl9588818lwAAyDECKACgR5YvX667\n7rpLpmmqvLxcNptNe/fuVV1dnaZNm6bvfve7ikaj+sEPfqA1a9Zo6NChamxsTN/3vvvu02OPPaY3\n33xT//u//6twOKzm5mZdf/31uvDCC3XDDTfI7/frvffe065du/Ttb39bU6ZM0b333qvW1lY98MAD\n+ta3vtVubdOnT9c999yjESNG6LrrrpPf79ePfvQj1dbW6he/+IUeeOAB3Xzzzfrwww+1Z88eHXXU\nUbrvvvu0Z88eXXXVVerXr5/cbrcefvjhdus/nKefflqPPvqoDMPQqFGjdNNNN8nn80mSbrrpJq1e\nvVr9+vXT/PnzNWTIED366KN69tlnZbPZdPLJJ+uWW25RIpHQT37yE7355ptKJBKaMWOGvvrVrx7w\nmh911FFavny5nnvuOVVVVampqUkXXXSRXn31Vb3xxhu69957FY/HNWzYMN16663q16+fJk2apJNP\nPlkffPCBHn/8cfXv37/dr2HRokV64IEHZBiGRo8erVtvvVXxeFw33nij1q1bJ8MwdOWVV+rSSy/V\nM888ozfffFN33HGHpGR38z/+4z8kSQ899JA8Ho82bNig4447Tnfffbd+8pOfSJK+8IUv6I9//GPX\nvukAAL0WS3ABAD32ySef6Le//a3OOeccXXTRRVq4cKGef/55Pf7442poaNBjjz0mSfrrX/+qG2+8\nUZs3bz7oMX7/+9/rtttu07PPPqsf//jHuv/++9PX7dy5U48//rgeeOAB/eQnP1FZWZmuueYaTZo0\n6ZDhU5ImTJigN954Q5K0fv16vf3225KkJUuWaOLEiXrnnXfkdDr15JNP6u9//7sikYhef/11SdLH\nH3+su+66S7/5zW86Vf/+1q1bpwcffFCPPfaYFi1aJK/Xq/vuuy99/emnn64//elPmjJlin784x8r\nHo/roYce0tNPP61nnnlGhmFo165dWrhwoSTp2Wef1VNPPaXFixfrrbfeOuA1/+lPf6oLLrhAL774\noiTppZde0mc/+1nt3btXP/3pT/WrX/1Kzz33nM455xzdfffd6RrOO+88/e1vfztk+Ny1a5duv/12\n/frXv9af//xnJRIJvf7661qwYIH69eunF154Qb/97W+1YMECrV279rCvxzvvvKN58+bpr3/9q7Zv\n365//vOfuvHGGyWJ8AkAfQwdUABAjx111FEqLS3VlVdeqX/961/61a9+pQ8//FCxWEyhUEhvvvmm\nZs6cKUk68sgjNXbs2IMe46677tKrr76qF198UatWrVIwGExfd/bZZ8swDI0cOVJNTU2drmvixIl6\n9NFHNX78eB1zzDHauHGj6uvrtWTJEt17770aMmSIKioq9Ic//EEbN27UJ598otbWVklS//79NWzY\nMEnqVP37W7Fihc4//3z169dPkjRz5kz993//tyTJ4/Ho4osvliRdcskluueee+RwODR27Fhdfvnl\nmjx5sr70pS+purpab7zxhj744AP961//kiS1trZq3bp1OuaYY9Kveepx5s+fry9/+ct64YUXdO21\n12rVqlXasWOH5s6dK0npDnXKKaecctiv4Z133tG4ceM0aNAgSUrvt73//vs1f/58SVJlZaUmT56s\nN998U36//5CPdeyxx6YfZ8SIEWpubj7scwMAihcBFADQYx6PR5J0xx13aMuWLbrooov02c9+VsuW\nLZNlWTIMQ6Zppm/vcBz89jN79mydeeaZOvPMM3XWWWfpu9/9bvo6t9stSTIMo0t1jR07Vt/73ve0\nbNkynXHGGerfv79efPFFxWIxDRkyRIsXL9a9996ruXPnasaMGWpsbJRlWQd8Tann7aj+/e1/W0my\nLEvxeFySZLPZDrg89Vj333+/amtrtWTJEl111VW6++67lUgkdP311+tzn/ucJKmhoUElJSVatWrV\nAfWNHj1azc3NWr16tXbt2qVx48bp5Zdf1rhx4/Tggw9KkiKRyAGhPvWaHsqnv8aGhoZ0zZ/+2hKJ\nhAzDOOC6WCzW7nN9+nYAgL6FJbgAgIxZunSprrzySl144YXasWOHdu3aJdM0ddZZZ+mFF16QaZra\ntm1beilsSlNTkz755BN95zvf0YQJE7R06VIlEonDPpfdbk+HusPd5pRTTtFjjz2mM844Q+PHj9eD\nDz6oCRMmSJLeeOMNXXjhhbrssstUVVWlFStWtPu8HdX/aWeccYZeeeWVdLd24cKFOvPMMyUlu5iL\nFy+WlNwn+pnPfEYNDQ268MILNXLkSH3nO9/R2WefrXXr1mn8+PFauHChYrGYgsGgZs+erVWrVrX7\nnNOnT9cPf/hD/du//ZukZIeztrZWH3/8saRkwE3tu+yM0aNHa9WqVaqrq5MkzZ8/X4sXL9b48eP1\n1FNPSUqG0sWLF+uMM85Qv379tGHDBlmWpS1btmjdunUdPkdn/hsCAIoLHVAAQMZcffXV+t73vqey\nsjL1799fJ510krZu3arZs2frww8/1IUXXqihQ4dq5MiRB9yvoqJCX/jCFzRt2jT5/X6NGTNG4XA4\nvRy2PSeffLLuu+8+3X333Qd0Sz9twoQJWrFihUaMGKEBAwaovr5eEydOlJQcgPPd735XL774olwu\nl8aMGaOtW7ce9Bgd1f9pxx9/vK6++mrNmTNHsVhMo0aN0o9+9CNJUllZmV5++WX9/Oc/V3V1tW6/\n/XZVVlZq1qxZuvzyy+X1ejV48GB9/vOfl9vt1qZNm/T5z39e8XhcM2bM0JlnntnuETAXX3yxfv7z\nn+tnP/uZJGnAgAGaP3++rr32Wpmmqerq6i4dW1NdXa0f/OAHuvLKK2WapsaMGaMZM2YoFArp5ptv\n1vTp05VIJPTNb35To0aNUjQa1dNPP60LLrhARx11lE499dQOn2Py5Mm65JJL9Mwzz3TYkQUAFAfD\nYh0MAAAAACAH6IACAHq1t956S7feemu71z388MOqrq7OyvNu3rxZ//mf/9nudbfddlu3zzfNpXA4\nnB6u9GnXXHONJk+enOOKAADFjg4oAAAAACAnGEIEAAAAAMgJAigAAAAAICcIoAAAAACAnCCAAgAA\nAAByggAKAAAAAMgJAigAAAAAICdyfg5oXd3eXD8lAAAAACBHBgwoPeR1dEABAAAAADnRqQC6atUq\nzZkz55DX33TTTbr77rszVhQAAAAAoPh0GEAfeeQR3XjjjYpEIu1e/8QTT2j9+vUZLwwAAAAAUFw6\nDKA1NTVasGBBu9e9/fbbWrVqlWbOnJnxwgAAAAAAxaXDADp16lQ5HAfPKtq9e7d+8YtfaN68eVkp\nDAAAAABQXLo9BffFF19UY2Oj/v3f/111dXUKh8M6+uijNWPGjEzWBwAAAAAoEt0OoHPnztXcuXMl\nSc8884w2btxI+AQAAAAAHFKXj2FZtGiRnnzyyWzUAgAAAAAoYoZlWVYun7Cubm8unw4AAEnSa7Xb\nun3fiWOGZrASAACK24ABpYe8rssdUAAAAAAAuoMACgAAAADICQIoAAAAACAnCKAAAAAAgJwggAIA\n+oy6ppBagtF8lwEAQJ9FAAUA9AmWZenlt7bqn6t35LsUAAD6LAIoAKBPSJiWYnFTjXsjMnN7AhkA\nAGhDAAUA9AmxuCkpGUSDoVieqwEAoG8igAIA+oRUAJWk5gD7QAEAyAcCKACgT4juF0CbApE8VgIA\nQN9FAAUA9AmxeCL9ZzqgAADkBwEUANAn7L8Et4mjWAAAyAsCKACgT4jG9t8DGpHFJFwAAHKOAAoA\n6BNSHVC7zVA8YSkYjue5IgAA+h4CKACgT0jtAe1f7pGU7IICAIDcIoACAPqE1BTcARVeSVITg4gA\nAMg5AigAoE+IpQNoqgNKAAUAINcIoACAPiEVQCvLPDIMzgIFACAfCKAAgD4hFUDdTrvKfC41B6NM\nwgUAIMc6FUBXrVqlOXPmHHT5Cy+8oC984QuaNWuW5s2bJ9M027k3AAD5F40nZBiSw26owudSLG6q\nNcIkXAAAcqnDAPrII4/oxhtvVCRy4FKlcDise+65R7/73e/0xBNPKBAI6NVXX81aoQAA9EQsbsrp\nsMkwDJX73ZLYBwoAQK51GEBramq0YMGCgy53uVx64okn5PUmpwnG43G53e7MVwgAQAZE46ac9uTb\nXrnfJYl9oAAA5FqHAXTq1KlyOBwH39FmU1VVlSTpscceU2trq84+++zMVwgAQAbE4qZcTrskqYIO\nKAAAeXFwsuwC0zR111136eOPP9aCBQtkGEam6gIAIGNMy0ovwZWkMp+zbRIuARQAgFzqUQCdN2+e\nXC6X7r//ftlsDNQFABSmSDQhSekAarfZVFriUnMwIsuy+AUqAAA50uUAumjRIrW2tuqkk07SU089\npdNOO01f+cpXJElz587VlClTMl4kAAA9EWqbdpsKoJJU4Xdp866owtGEvO4e/T4WAAB0UqfecYcN\nG6aFCxdKkqZPn56+fO3atdmpCgCADAq1dUBd+wXQct++QUQEUAAAcoN1swCAohdOd0Dt6ctSR7Gw\nDxQAgNwhgAIAit6hluBKUjNHsQAAkDMEUABA0WtvCW6ZzyVDHMUCAEAuEUABAEWvvQ6ow26Tv8TJ\nElwAAHKIAAoAKHrtBVApuQ80EksoHI3noywAAPocAigAoOilAqhrvyFEklSRnoRLFxQAgFwggAIA\nil4oktwDenAHdN9RLAAAIPsIoACAoneoJbgVbUexMIgIAIDcIIACAIpeqG2Pp8t54NtemS91FAsB\nFACAXCCAAgCK3qE6oE6HTX6vkyW4AADkCAEUAFD0QpGEbDZDdtvBb3vlfpfC0YTCbWeFAgCA7CGA\nAgCKXjgal8vR/lteRdsgouYgXVAAALKNAAoAKHqtkfhBy29Tyn0MIgIAIFcIoACAoheOJA4ZQCs4\nigUAgJwhgAIAilrCNBWJHTqAlnMUCwAAOUMABQAUtdRwIZfD3u71TodNJR6HmgigAABkHQEUAFDU\nQuH2j2DZX4XfrVAkrmiMSbgAAGQTARQAUNRCbR3QwwfQtkm4dEEBAMgqAigAoKiFIskO6KGOYZGS\nZ4FKUhNHsQAAkFWdCqCrVq3SnDlzDrr8lVde0WWXXaaZM2dq4cKFGS8OAICeSgXQw3ZAOYoFAICc\ncHR0g0ceeUTPP/+8vF7vAZfHYjHdfvvteuqpp+T1enXFFVdo0qRJqqqqylqxAAB01b4A2v4QImm/\nDihHsQAAkFUddkBramq0YMGCgy7fsGGDampqVF5eLpfLpVNPPVUrVqzISpEAAHRXKD0F99BveS6n\nXV43k3ABAMi2DgPo1KlT5XAc3CgNBAIqLS1Nf+7z+RQIBDJbHQAAPRTuxBJcKTmIqDUcVzTOJFwA\nALKl20OI/H6/gsFg+vNgMHhAIAUAoBC0pgKo8/BvealluC10QQEAyJpuB9ARI0Zo06ZNampqUjQa\n1VtvvaWxY8dmsjYAAHosHOl4Ca6UPAtUEstwAQDIog6HEH3aokWL1NraqpkzZ+qGG27QlVdeKcuy\ndNlll6m6ujobNQIA0G3pDqj90EOIpH0d0GaOYgEAIGs6FUCHDRuWPmZl+vTp6csnTZqkSZMmZacy\nAAAyIBzt5BJcHx1QAACyrdtLcAEA6A3Sx7DYD/+W53HZ5XHZOQsUAIAsIoACAIpaKJKQ22mXzWZ0\neNsyn0uBUEymZeWgMgAA+h4CKACgqIUicXnch9//meJ2Jm8Xi5nZLAkAgD6LAAoAKGqhaFwl7s7N\n3EsF0EiMs0ABAMgGAigAoKiFInF5XJ0LoK62QUVRAigAAFlBAAUAFK1Y3FQ8Yamki0tw6YACAJAd\nBFAAQNEKtR3B4unsElxXKoCyBxQAgGwggAIAilbqCBYve0ABACgIBFAAQNEKR5JB0sseUAAACgIB\nFABQtFrTHVD2gAIAUAgIoACAohXu7hLcKAEUAIBsIIACAIpWaxcDqKstgEYZQgQAQFYQQAEARSvc\n1snsbAB12A3ZDIMluAAAZAkBFABQtNIdUFfn9oAahiG3y0YABQAgSwigAICi1dU9oFJyGS4BFACA\n7CCAAgCKVuocUE8XAqjbaVc0ZsqyrGyVBQBAn0UABQAUrVDbHtCSLgZQSYrGGUQEAECmEUABAEUr\n3QHt5B5QSXI5k2+NUZbhAgCQcR0GUNM0NW/ePM2cOVNz5szRpk2bDrj+17/+tWbMmKHLLrtMf//7\n37NWKAAAXRWKxGWoawGUs0ABAMieDtckvfzyy4pGo3ryySdVW1urO+64Qw888IAkqaWlRb/73e/0\n0ksvKRQK6dJLL9WUKVOyXjQAAJ0RiiTkcTtkGEan75MOoJwFCgBAxnXYAV25cqXOPfdcSdKYMWO0\nZs2a9HVer1dDhgxRKBRSKBTq0hs8AADZForE5XV3vvsp7R9A6YACAJBpHXZAA4GA/H5/+nO73a54\nPC6HI3nXwYMHa9q0aUokErr66quzVykAAF0UjsZVUeru0n1cbct12QMKAEDmddgB9fv9CgaD6c9N\n00yHzyVLlmj37t1avHixXnvtNb388stavXp19qoFAKCTLMtSKJKQ19X5CbiS5G4bQkQHFACAzOsw\ngI4bN05LliyRJNXW1mrkyJHp68rLy+XxeORyueR2u1VaWqqWlpbsVQsAyJtgOKaE2Xv2RUZjpkzL\nkrcLR7BILMEFACCbOnxXnjJlipYuXapZs2bJsizNnz9fjz76qGpqajR58mQtW7ZMX/ziF2Wz2TRu\n3DidffbZuagbAJBDzYGIvv/QG5p21pGa/pkj811Op7S2HcHS1T2grtQ5oAwhAgAg4zoMoDabTbfc\ncssBl40YMSL952uuuUbXXHNN5isDABSMrXuCisZMbdzWnO9SOi0cTQVQOqAAABSKDpfgAgBQ3xyW\nJO1pCee5ks5Ld0C7uAfUYTdkMzgHFACAbCCAAgA6lA6gzWFZlpXnajonHEkGyK4uwTUMQ26XnQ4o\nAABZQAAFAHSovq3zGYkmFAzH81xN54TaOqCeLi7BlZL7QNkDCgBA5hFAAQAdSnVAJamuKZTHSjov\nFUBLuhFA3U67orFEr+n2AgDQWxBAAQAdqt9v7+f+YbSQhdr2cHq6uAdUSnZALUnROF1QAAAyqevv\nygCAPsU0LTXujaQ/39NbAmg3j2GRJLcz+fvZaCyRnoqbL6/VbuvR/SeOGZqhSgAA6Dk6oACAw2oK\nRJQwLQ2p8kmS6pp71xLcrh7DInEUCwAA2UIHFABwWKmO53HDK7R9T1DrtzR1qyuX605cRgJotPct\nwbUsS/GEJaeD3zEDAAoP704AgMNK7f8cNsAnl9OmQCiW54o6J7UHtDsB1NWLO6DvbmzQH1/9KB3A\nAQAoJARQAMBhpYYO9S/3yO91KhiK9YrpsOkOqKsbe0Db7hPtZQHUsix9tLVZ8YSl5kA03+UAAHAQ\nAigA4LBSS3D7lyUDaDxhKRwt/GAWjsRltxndWoqaGkLU2zqgTYFIukMdDPeOTjUAoG8hgAIADiu1\nBDfVAZWkYC9YhtsaicvrdsgwjC7fN7UENxrrXXtAN+8KpP/cyhJcAEABIoACAA6rvjksn8chj8sh\nX1sA7Q37QMPRRLeOYJF67xTcLbv3C6BhAigAoPAQQAEAh2RZlhpawupf7pGkdAe0NwTQUCQur6t7\nw957YwANhGJqaImosswtiQAKAChMBFAAwCHtbY0pGjfVv6x3BVDTtNo6oN0LoA67IZshRXrBXteU\nVPfzmGHlstkMluACAAoSARQAcEj77/+U9g+ghR1uwj04gkWSDMOQy2nvVVNwt7Tt/6wZ6FeJ26FW\nhhABAAoQARQAcEipI1iq2jqgTodNbqe94IcQpY5g8XRzD6iUXIYb6SVDiCLRhHY1tqqq3KMSj1M+\nj0OhSEKmWfjH5QAA+hYCKADgkPY0H9gBlZJd0ECBnwUairadAdrNDqiUPAs0GksU9NeZsrUuIMuS\nhg/0S5K8nuTXHWIZLgCgwBBAAQCH9OkluJLk9zqUMAv7LNBU8OruECIpeRSLJSkWL/wuaGr/5/Dq\nZAAtaQve7AMFABSaDt+ZTdPUzTffrHXr1snlcum2227TEUcckb7+9ddf1y9+8QtZlqVRo0bphz/8\nYbfOXAMAFJ7UEtzUECJJBxzF0pMOYzaFIqk9oD1Zgpv8HW2hT8KNJ0xt3xNUaYlT5T6XJMnnSf43\nYhIuAKDQdNgBffnllxWNRvXkk0/quuuu0x133JG+LhAI6K677tKDDz6oP/7xjxo6dKgaGxuzWjAA\nIHfqW8JyOW3p4UPSfoOIWgt3H2i6A9qTJbjpo1gKuwO6s75V8YSlmmp/+hfAJW1LcAmgAIBC02EA\nXblypc4991xJ0pgxY7RmzZr0de+8845GjhypO++8U7Nnz1ZVVZUqKyuzVy0AIKfqm8PqX+Y5YGWL\nv6Twj2LJyB7QVAAt4KXGkrQ5tfx2YGn6snQAjRTufyMAQN/U4TtzIBCQ3+9Pf2632xWPx+VwONTY\n2Kjly5frueeeU0lJib70pS9pzJgxOuqoo7JaNAAg+0KRuFojcR09tOyAy3vDWaCZ2gMqqaCPYjEt\nS1t3B+Rx2VVVsW+ZdGoPaJAOKACgwHTYAfX7/QoGg+nPTdOUw5F8Y6uoqNDo0aM1YMAA+Xw+nXba\nafrggw+yVy0AIGc+fQRLSmp/YWEH0L6xB7SuKaRwNKHhA/2y7delTnV+QwRQAECB6TCAjhs3TkuW\nLJEk1dbWauTIkenrRo0apfXr16uhoUHxeFyrVq3SMccck71qAQA5s6edCbhS8ixQj8te0AE0nIE9\noL2hA7pl14HTb1NsNkNet50puACAgtPhO/OUKVO0dOlSzZo1S5Zlaf78+Xr00UdVU1OjyZMn67rr\nrtNVV10lSbrgggsOCKgAgN6rvQm4KX6vUw0tEVmWVZCTzzMyhMhV2EOILMvSlt0BOeyGBleWHHR9\nidupxkDh/jcCAPRNHb4z22w23XLLLQdcNmLEiPSfp02bpmnTpmW+MgBAXrV3BmiKz+vUnuawQpFE\neuBNIQlFU0twMzEFtzA7oM2BqPa2xnREtV92+8ELmko8DtW3hBUMxw+YYgwAQD51uAQXANA3ddQB\nlaRAKJrTmjor1QH1uHqyB7SwA2h6+m11abvXp34x0ND2iwQAAAoBARQA0K76lrDsNkMVfvdB1+0L\noIW5xzAUicvlsMnRTmewsxx2Q4ZRuHtAt+wKyDCkoQN87V6fmoTbFIjksiwAAA6LAAoJf17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qLEBX9QRkNzZuxn6/OH0dLpxyUTc3RtSOOwmeCym9HeE0jLfklvIILGFg+qJmTDnoIZoBqnPXZs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\niIiIiIiI0uL/A1wbrfU9/bKeAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"ax1 = plt.subplot2grid((3, 1), (0, 0), colspan=2)\n",
"ax2 = plt.subplot2grid((3, 1), (1, 0), colspan=2)\n",
"ax3 = plt.subplot2grid((3, 1), (2, 0), colspan=2)\n",
"sns.distplot(df['dire_ward_observer_count'], ax=ax1)\n",
"sns.distplot(df['radiant_ward_observer_count'], ax=ax2)\n",
"sns.distplot(df['dire_ward_observer_count'] - df['radiant_ward_observer_count'], ax=ax3)"
]
},
{
"cell_type": "code",
"execution_count": 157,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 157,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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1XTl76XIOHR+Y+0UCAIvC0dPTAxhnLr8twZaezoyOTbkCbIFcNVb37t2be+65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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.distplot(df['first_blood_time'])"
]
},
{
"cell_type": "code",
"execution_count": 223,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"text/plain": [
"first_blood_team\n",
"-1.0 0.527029\n",
" 0.0 0.594901\n",
" 1.0 0.444379\n",
"Name: radiant_win, dtype: float64"
]
},
"execution_count": 223,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# какая команда сделал first blood тоже влияет\n",
"df.groupby(['first_blood_team'])['radiant_win'].sum() / df.groupby(['first_blood_team'])['radiant_win'].count()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [],
"source": [
"\"\"\"Метод для подготовки данных. \n",
"Убирает все ненужные признаки, оставляет только полезные и проводит аггрегацию некоторых.\n",
"Заметим, что у нас теперь нет информации о героях совсем!\n",
"\"\"\"\n",
"def prepareData(X):\n",
" X_ = pd.DataFrame(index=X.index)\n",
" \n",
" #X_['first_blood_team'] = X['first_blood_team']\n",
" \n",
" # Для этих признаков лучше больше, поэтому разность в прямом направлении\n",
" dire_gold = X['d5_gold'] + X['d4_gold'] + X['d3_gold'] + X['d2_gold'] + X['d1_gold']\n",
" radiant_gold = X['r5_gold'] + X['r4_gold'] + X['r3_gold'] + X['r2_gold'] + X['r1_gold']\n",
" X_['gold_delta'] = radiant_gold - dire_gold # дельта золота на команду\n",
" \n",
" dire_lh = X['d5_lh'] + X['d4_lh'] + X['d3_lh']+ X['d2_lh'] +X['d1_lh']\n",
" radiant_lh = X['r5_lh'] + X['r4_lh'] + X['r3_lh']+ X['r2_lh'] +X['r1_lh']\n",
" X_['lh_delta'] = radiant_lh - dire_lh # дельта числа убитых юнитов\n",
" \n",
" dire_items = X['d5_items'] + X['d4_items'] + X['d3_items'] + X['d2_items'] + X['d1_items'] \n",
" radiant_items = X['r5_items'] + X['r4_items'] + X['r3_items'] + X['r2_items'] + X['r1_items']\n",
" X_['items_delta'] = radiant_items - dire_items # дельта числа купленных предметов\n",
" \n",
" dire_boots_count = X['dire_boots_count']\n",
" radiant_boots_count = X['radiant_boots_count']\n",
" X_['boots_count_delta'] = radiant_boots_count - dire_boots_count # дельта числа ботинок на команду\n",
" \n",
" dire_xp = X['d5_xp'] + X['d4_xp'] + X['d3_xp'] + X['d2_xp'] + X['d1_xp']\n",
" radiant_xp = X['r5_xp'] + X['r4_xp'] + X['r3_xp'] + X['r2_xp'] + X['r1_xp']\n",
" X_['xp_delta'] = radiant_xp - dire_xp # дельта опыта на команду. Нам не нужны поэтому уровни, так как они зависимы друг от друга, но не совсем линейно\n",
" \n",
" dire_kills = X['d5_kills'] + X['d4_kills'] + X['d3_kills'] + X['d2_kills'] + X['d1_kills']\n",
" radiant_kills = X['r5_kills'] + X['r4_kills'] + X['r3_kills'] + X['r2_kills'] + X['r1_kills']\n",
" X_['kills_delta'] = radiant_kills - dire_kills # дельта килов героев на команду\n",
" \n",
" X_['tpscroll_count_delta'] = X['radiant_tpscroll_count'] - X['dire_tpscroll_count'] # дельта числа свитков телепортации\n",
" X_['ward_observer_count_delta'] = X['radiant_ward_observer_count'] - X['dire_ward_observer_count']\n",
" X_['ward_sentry_count_delta'] = X['radiant_ward_sentry_count'] - X['dire_ward_sentry_count']\n",
" \n",
" # Для времени лучше меньше чем больше поэтому разность в другую сторону\n",
" X_['bottle_time_delta'] = X['dire_bottle_time'] - X['radiant_bottle_time']\n",
" X_['flying_courier_time_delta'] = X['dire_flying_courier_time'] - X['radiant_flying_courier_time']\n",
" X_['courier_time_delta'] = X['dire_courier_time'] - X['radiant_courier_time']\n",
" X_['first_ward_time_delta'] = X['dire_first_ward_time'] - X['radiant_first_ward_time']\n",
" \n",
" return X_"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [],
"source": [
"def drawJointPlots(df):\n",
" X = prepareData(df)\n",
" y = df['radiant_win']\n",
" d = pd.concat([X, y], axis=1)\n",
" for column in X.columns:\n",
" h = d.groupby([column])['radiant_win'].sum() / d.groupby([column])['radiant_win'].count()\n",
" sns.jointplot(h.index, h.values, kind=\"reg\")"
]
},
{
"cell_type": "code",
"execution_count": 241,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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XzwwssWFgiQ1b99UhFInDZjHmekh9htWwlDOKCvhDcdR4wwhG4gV5ELvQyAkF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\ngSuuuKLFZbfeeiuCwSAAIBgMwuVytfm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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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TX724K5m0VAXu/MBcbrhkliStMaSpCq9vqce0rFM/eAKRxCWEGJVQROeHT21l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\nMbNmzTJr164tsW5p9nVZK+tj6VY+//xzM336dGOMMVeuXDF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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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tdeysRZVcdc6stF17mohZVm8nfOEJeZ5sIsElhMg5cd2g0x8d0T5a7d0RfrNx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\nRJcRAxfFlWnTpgEAiouL0dTU1OVrt2zZou5afcMNN2DIkCEAgk1Q9+/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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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f6pe7n23q5endtcOCJD/byfaNlSyoyJ2U90xzWGnq9E3KaycyCS4hxKSZDt3d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\nESkKg4uIiBSFwUVERIrC4CIiIkX5/1VZ8EqIJTzRAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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NPLfuYDzMinJs/NOnZnLltIKEhhnEAi0Yio7JaiGD7qHdeOONNDQ0nHNcp9OR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\n4D//+Q/q6upQXl6OsWPHYsGCBVi4cCEqKyvx7LPP4g9/+MMNx/Cvf/0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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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/dduUS1xykVkIETfvH2zkP/93dzRpLSnP5bufWiVJa4IoCmzdW5/oMCadJC4h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\niNTgMalQHVp9u7Xm3pvjaB0WiL+fhruLiEhNHhNcAMP7d2D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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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pR6W9p6KvynEqkeASQkxamqbhC8WHPZIkGInz9Bv7ONDsA0CnKHz2ohmcN79o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\nFhGRf/HK4DJbrPj2eAn+daXCvm3SsB6Y9Ys4yFoxHZMqNBi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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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LeoyWxcff37+NtIPvU/poJZjimjs8+MPf9mPbgQ5IooCLThuPKxdPhk5O/+WF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