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Probabilistic Programming for Sports Analytics Part 1
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
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"source": [
"A Dockerfile that will produce a container with all the dependencies necessary to run this notebook is available [here](https://github.com/AustinRochford/notebooks)."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"Clear the `theano` cache before each run to avoid subtle bugs."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"!rm -rf /home/jovyan/.theano/"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"slideshow": {
"slide_type": "skip"
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},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"import datetime\n",
"from itertools import product\n",
"import logging\n",
"import pickle\n",
"from warnings import filterwarnings"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING (theano.configdefaults): install mkl with `conda install mkl-service`: No module named 'mkl'\n"
]
}
],
"source": [
"import arviz as az\n",
"from matplotlib import pyplot as plt\n",
"from matplotlib.offsetbox import AnchoredText\n",
"from matplotlib.ticker import FuncFormatter, StrMethodFormatter\n",
"import numpy as np\n",
"import pandas as pd\n",
"import pymc3 as pm\n",
"import scipy as sp\n",
"import seaborn as sns\n",
"from sklearn.preprocessing import LabelEncoder\n",
"from theano import shared, tensor as tt"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"# keep theano from complaining about compile locks for small models\n",
"(logging.getLogger('theano.gof.compilelock')\n",
" .setLevel(logging.CRITICAL))\n",
"\n",
"# silence PyMC3 warnings (there aren't many)\n",
"filterwarnings(\n",
" 'ignore', \".*diverging samples after tuning.*\",\n",
" module='pymc3'\n",
")\n",
"filterwarnings(\n",
" 'ignore', \".*acceptance probability.*\",\n",
" module='pymc3'\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"pct_formatter = StrMethodFormatter('{x:.1%}')\n",
"svpct_formatter = ba_formatter = StrMethodFormatter(\"{x:.3f}\")\n",
"\n",
"sns.set(color_codes=True)\n",
"\n",
"# configure pyplot for readability when rendered as a slideshow and projected\n",
"plt.rc('figure', figsize=(8, 6))\n",
"\n",
"LABELSIZE = 14\n",
"plt.rc('axes', labelsize=LABELSIZE)\n",
"plt.rc('axes', titlesize=LABELSIZE)\n",
"plt.rc('figure', titlesize=LABELSIZE)\n",
"plt.rc('legend', fontsize=LABELSIZE)\n",
"plt.rc('xtick', labelsize=LABELSIZE)\n",
"plt.rc('ytick', labelsize=LABELSIZE)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"SEED = 54902 # from random.org, for reproducibility"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Probabilistic Programming for Sports Analytics\n",
"\n",
"## Bayesian Data Analysis Meetup • April 18, 2019 • New York City\n",
"## [@AustinRochford](https://twitter.com/AustinRochford)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## About Me\n",
"\n",
"<center><img src='http://austinrochford.com/resources/img/bball.jpg' width=300></center>\n",
"\n",
"### Chief Data Scientist @ [Monetate](http://www.monetate.com/) &#8226; PyMC3 contributor\n",
"\n",
"### [@AustinRochford](https://twitter.com/AustinRochford) &#8226; [austinrochford.com](http://austinrochford.com) &#8226; [github.com/AustinRochford](http://github.com/AustinRochford)\n",
"\n",
"### [arochford@monetate.com](mailto:arochford@monetate.com) &#8226; [austin.rochford@gmail.com](mailto:arochford@monetate.com)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## About Monetate\n",
"\n",
"<center><img src='http://austinrochford.com/resources/talks/img/monetate_logos.png' width=700></center>\n",
"\n",
"* Founded 2008, web optimization and personalization SaaS\n",
"* Observed 5B impressions and $4.1B in revenue during Cyber Week 2017"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"<center>\n",
" <img src='https://technical.ly/philly/wp-content/uploads/sites/2/2014/10/monetate-sign.jpg' width=700>\n",
" <a href=\"https://www.monetate.com/about/careers\">monetate.com/about/careers</a>\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Agenda\n",
"\n",
"* Sports analytics\n",
" * Heuristics and uncertainty\n",
"* First steps\n",
" * Batting average\n",
" * Save percentage\n",
"* NBA foul calls\n",
"* Future work"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# Sports Analytics\n",
"\n",
"<center>\n",
" <img src=\"https://upload.wikimedia.org/wikipedia/en/thumb/2/2e/Moneyball_Poster.jpg/220px-Moneyball_Poster.jpg\">\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"<center>\n",
" <img src=\"https://images-na.ssl-images-amazon.com/images/I/51RUr5WkcWL._SX324_BO1,204,203,200_.jpg\">\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"<center>\n",
" <img src=\"https://images-na.ssl-images-amazon.com/images/I/51QZKMRYFWL._SX377_BO1,204,203,200_.jpg\">\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"<center>\n",
" <table>\n",
" <tr>\n",
" <td>\n",
" <img src=\"https://images-na.ssl-images-amazon.com/images/I/819sfHUyCIL.jpg\" width=350>\n",
" </td>\n",
" <td>\n",
" <img src=\"https://images-na.ssl-images-amazon.com/images/I/41DfPuEMVtL._SX335_BO1,204,203,200_.jpg\">\n",
" </td>\n",
" </tr>\n",
" </table>\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Heuristics and Uncertainty\n",
"\n",
"> The basic blueprint for predicting a player’s upcoming season from his past is the Marcel method, introduced by prominent baseball and hockey analyst Tom Tango back in 2005. It’s a three-step process that \n",
"> 1. starts with a weighted average of a player’s three most recent seasons;\n",
"> 2. regresses that player’s performance toward the league mean, based on games played (we’ll explain why and how in a moment); and\n",
"> 3. applies an age adjustment to account for developing rookies and declining veterans. With regard to the first step, Tango proposes a weighting of 5-4-3, while I prefer a 4-2-1 approach that assumes that every season’s data has twice the predictive power as the season previous. \n",
"\n",
"Vollman, Rob, Awad, Tom, Fyffe, Iain. _Hockey Abstract Presents_ Stat Shot. ECW Press. Kindle Edition. "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"<center>\n",
" <img src=\"https://www.baseballprospectus.com/wp-content/uploads/2018/03/judge8.png\" width=500>\n",
" <a href=\"https://www.baseballprospectus.com/news/article/38289/bayesian-bagging-generate-uncertainty-intervals-catcher-framing-story/\">Bayesian Bagging to Generate Uncertainty Intervals: A Catcher Framing Story</a>\n",
"</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# First Steps\n",
"\n",
"## Batting Average"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"def get_data_url(filename):\n",
" return f\"https://www.austinrochford.com/resources/sports_precision/{filename}\""
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"def load_data(filepath, player_col, usecols):\n",
" df = pd.read_csv(filepath, usecols=[player_col] + usecols)\n",
" \n",
" return (pd.concat((df[player_col]\n",
" .str.split('\\\\', expand=True)\n",
" .rename(columns={0: 'name', 1: 'player_id'}),\n",
" df.drop(player_col, axis=1)),\n",
" axis=1)\n",
" .rename(columns=str.lower)\n",
" .groupby(['player_id', 'name'])\n",
" .first() # players that switched teams have their entire season stats listed once per team\n",
" .reset_index('name'))"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"mlb_df = load_data(get_data_url('2018_batting.csv'), 'Name', ['AB', 'H'])"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
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" <thead>\n",
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" <th></th>\n",
" <th>name</th>\n",
" <th>ab</th>\n",
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" <tr>\n",
" <th>player_id</th>\n",
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" <tr>\n",
" <th>abreujo02</th>\n",
" <td>Jose Abreu</td>\n",
" <td>499</td>\n",
" <td>132</td>\n",
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" <tr>\n",
" <th>acunaro01</th>\n",
" <td>Ronald Acuna</td>\n",
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" <td>127</td>\n",
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" <td>288</td>\n",
" <td>80</td>\n",
" </tr>\n",
" <tr>\n",
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" <td>Jason Adam</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>adamsau02</th>\n",
" <td>Austin L. Adams</td>\n",
" <td>0</td>\n",
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"text/plain": [
" name ab h\n",
"player_id \n",
"abreujo02 Jose Abreu 499 132\n",
"acunaro01 Ronald Acuna 433 127\n",
"adamewi01 Willy Adames 288 80\n",
"adamja01 Jason Adam 0 0\n",
"adamsau02 Austin L. Adams 0 0"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mlb_df.head()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"batter_df = mlb_df[mlb_df['ab'] > 0]\n",
"n_player, _ = batter_df.shape"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"[Batting average](https://en.wikipedia.org/wiki/Batting_average_(baseball%29) is the most basic summary of a player's batting performance and is defined as their number of hits divided by their number of at bats. In order to assess the amount of precision that is justified when calculating batting average, we build a hierarchical logistic model. Let $n_i$ be the number of at bats for the $i$-th player and let $y_i$ be their number of hits. Our model is\n",
"\n",
"$$\n",
"\\begin{align*}\n",
" \\mu_{\\eta}\n",
" & \\sim N(0, 5^2) \\\\\n",
" \\sigma_{\\eta}\n",
" & \\sim \\textrm{Half-}N(2.5^2) \\\\\n",
" \\eta_i\n",
" & \\sim N(\\mu, \\sigma_{\\eta}^2) \\\\\n",
" \\textrm{ba}_i\n",
" & = \\textrm{sigm}(\\eta_i) \\\\\n",
" y_i\\ |\\ n_i\n",
" & \\sim \\textrm{Binomial}(n_i, \\textrm{ba}_i).\n",
"\\end{align*}\n",
"$$\n",
"\n",
"We specify this model in [`pymc3`](https://docs.pymc.io/) below using a [non-centered parametrization](https://twiecki.github.io/blog/2017/02/08/bayesian-hierchical-non-centered/)."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [],
"source": [
"def hierarchical_normal(name, shape, μ=None):\n",
" if μ is None:\n",
" μ = pm.Normal(f\"μ_{name}\", 0., 5.)\n",
" \n",
" Δ = pm.Normal(f\"Δ_{name}\", shape=shape)\n",
" σ = pm.HalfNormal(f\"σ_{name}\", 2.5)\n",
" \n",
" return pm.Deterministic(name, μ + Δ * σ)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"with pm.Model() as mlb_model:\n",
" η = hierarchical_normal(\"η\", n_player)\n",
" ba = pm.Deterministic(\"ba\", pm.math.sigmoid(η))\n",
" \n",
" hits = pm.Binomial(\"hits\", batter_df['ab'], ba, observed=batter_df['h'])"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"We proceeed to sample from the model's posterior distribution."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"CHAINS = 3\n",
"SEED = 88564 # from random.org, for reproducibility\n",
"\n",
"SAMPLE_KWARGS = {\n",
" 'draws': 1000,\n",
" 'tune': 1000,\n",
" 'chains': CHAINS,\n",
" 'cores': CHAINS,\n",
" 'random_seed': list(SEED + np.arange(CHAINS))\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (3 chains in 3 jobs)\n",
"NUTS: [σ_η, Δ_η, μ_η]\n",
"Sampling 3 chains: 100%|██████████| 6000/6000 [00:49<00:00, 120.10draws/s]\n"
]
}
],
"source": [
"with mlb_model:\n",
" mlb_trace = pm.sample(**SAMPLE_KWARGS)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"Before drawing conclusions from the posterior samples, we use [`arviz`](https://arviz-devs.github.io/arviz/index.html) to verify that there are no obvious problems with the sampler diagnostics."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"az.plot_energy(mlb_trace);"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<xarray.DataArray ()>\n",
"array(1.01)"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(az.rhat(mlb_trace).max().to_array().max())"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"First we'll examine the posterior distribution of [Mike Trout](https://www.baseball-reference.com/players/t/troutmi01.shtml)'s batting average."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Mike Trout"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"scrolled": false,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"\n",
"trout_ix = (batter_df.index == 'troutmi01').argmax()\n",
"ax.hist(mlb_trace['ba'][:, trout_ix], bins=30, alpha=0.5, lw=0.);\n",
"\n",
"ax.vlines(batter_df['h']\n",
" .div(batter_df['ab'])\n",
" .loc['troutmi01'],\n",
" 0, 275,\n",
" linestyles='--',\n",
" label=\"Actual batting average\");\n",
"\n",
"ax.xaxis.set_major_formatter(ba_formatter);\n",
"ax.set_xlabel(\"Batting average\");\n",
"\n",
"ax.set_yticks([]);\n",
"ax.set_ylabel(\"Posterior density\");\n",
"\n",
"ax.legend();\n",
"ax.set_title(\"Mike Trout\");"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Mike Trout vs. Bryce Harper"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"scrolled": false,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
"image/png": 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+li3bYOHCOWjfvjNiYm5i+vTZqvfs7R3w11+HUKpUaRgbi6+mO3duISUlBUOGDFOdmHb79mG1ecqXr4CIiKNq094dk719Vdy6FQM7u7Ki161pPKmLiGTvxIkIpKSkoH37jqhUqYrar2bNWmLfvr0QBAEtWrSGlZUVfH1H49KlC4iPv4eIiKM4f/4sgDfHNhMSHuDatWikpKQgPT0dAFCzZm3s3BmM6OgoXL8ejV9//Vltt6idXTkolUoEB2/B/fvxOHgwHMHBWz5pLJGR/yIoKBB378bh9993ITw8THXcWMx6SpcujfT0NJw5cxIpKSlITU1VTb98+SKSkh4iJSX5k7IBQLduPbFvXyhCQ/fg7t04bNq0HlFR/+Z66VTZsuXw6FESDhz4A/Hx97Br1w4cOrQ/x3yNGjVBZmYmZs2aDkdHJ5QrV171Xpcu3fHixQtMmeKLyMh/ER9/D2fOnMLs2b/i1auXH1x3yZKlYWpqipCQYMTH38Px4xEICFipNk/Hjl0QH38PS5cuQlzcbRw9ehh79uwE8L/bX379dV9cvRqJuXP9cP16NO7du4t//jmGOXN+zdPP73OwkIlI9kJD96BmzdooUiTnVm/Tps3x4MF9nDlzChYWFli6dDVsbEpi/PhR+OabHli7dtV/5m2GBg0a4ocfhsLLq7mqNIYPH4UyZewwfPgQ/PTTeLRr10HtmGGVKv+HH34Yi23bNsHbuztCQ/e8d9eqGD169MbNmzcwYMDXCAhYgYEDh6iOgYtZT40aLujYsQumTZsEL6/m2LRpPQBg4MDvkJiYiB49OqJ162aflA0AmjdvhX79BmLlyqUYMOBrxMbGoEOHLjmO2/6Xu3sj9OrVB4sXz0e/fr1w5swpDBz4XY75zM3N0ahRE9y8eR0tW7ZRe694cRusWLEWBQooMGbMcPTp0wMLFsyGqalJrg9DsbKywqRJ03Ds2BH06dMdgYGrMXz4KLV5SpUqjRkz5iAi4m/069cb27ZtRv/+gwBANa4qVf4Py5YF4MGDB/DxGYJ+/Xph1aqlsLYuJvpn97kUgvDukRPtePz4xWcdo5AzG5vCSEp6LnWMfKFLY/2c65B1aZx5lZBwB6VK/W/LhM/O1T+aHqev71hkZWVhzpyFGlumpnzqWIODt2Dt2pUIDz/yWTdOeff79FaBAgoUK5a365d5DJmIiFRSU1Oxa9cO1KvXAMbGRjhy5DAiIo5ixoy8X3MtJyEhwXB0dELRolaIjLyC9evX4Kuv2snqLmYsZCIiUlEogJMnjyMoKBBpaamwsyuHyZOno3HjplJH+yzx8XcRFBSIZ8+ewsamBDp06KLabS0XLGQiIlIxMzOHv//yj8+oY0aMGIMRI8ZIHSNXPKmLiIhIBljIREREMsBCJjI4CgiC/p9pTKRtb75HmjspjIVMZGBMTc2RkvIImZkZyKerHon0iiAIyMzMQErKI5iammtsuTypi8jAWFnZ4MWLp3jyJBFKZRYKFCjw3ttJ6iNDGauhjBOQbqwFChjBwsISlpZFNLZMFjKRgVEoFChcuCgKF35z1yt9vgnKuwxlrIYyTkC/xspCJp0j9g5cRES6hMeQiYiIZICFTEREJAMsZCIiIhlgIRMREckAC5mIiEgGWMhEREQywEImIiKSARYyERGRDLCQiYiIZIB36iLZ4B24iMiQcQuZiIhIBljIREREMsBCJiIikgEeQyaD975j108KmSHtZZraNLPanfIrEhEZIG4hExERyQALmYiISAZYyERERDLAQiYiIpIBFjIREZEMsJCJiIhkgIVMREQkAyxkIiIiGWAhExERyQALmSjb+OUbMX75RqljkJ4YM2Y4xowZLnUM0iG8dSZRtmcvXkkdQW/sPhb70Xk6elTKhyTSSUlJkToC6RhuIRMREckAC5mIiEgGWMhEREQywGPIRNlqO1aWOgLpkXr1GkgdgXQMC5ko28B2zaSOQHpk8ODvpY5AOoa7rImIiGSAhUyUbeSiQIxcFCh1DNITw4YNwrBhg6SOQTqEu6yJsqWlZ0gdgfRIamqq1BFIx3ALmYiISAZYyERERDLAQiYiIpIBHkMmytbQparUEUiPNGrUROoIpGNYyETZvFs1kjoC6ZG+fQdKHYF0DAuZiCQh5olQgP4/FYroLRYyUbahc1YDAFb8OFjiJPIltkTze51yLO2BA/sAANauDZI4CekKntRFREQkAyxkIiIiGWAhExERyQALmYiISAZ4UhdRtmZ1akgdgfRIy5ZfSR2BdAwLmShb16Z8oDxpTo8evaWOQDqGhUyULTUtHQBgbmYqcRLKK7GXYw3q7KLlJP/z+vVrAICFhUW+rZN0GwuZKNso/3UAeB0yaYaPz5s/R7wOmcTiSV1EREQywEImIiKSARYyERGRDLCQiYiIZIAndRFla9uwltQRSI+0b99J6gikY1jIRNm8WMikQR06dJY6AukY7rImypby/CVSnr+UOgbpieTkZCQnJ0sdg3QIt5CJsvmu2ASA1yGTZowdOwIAr0Mm8VjIlC/Szu6SOgIRkaxxlzUREZEMsJCJiIhkgIVMREQkAzyGTJStc5P6UkcgPdK9ey+pI5COYSETZWtR11nqCKRHWrVqI3UE0jHcZU2ULfFJChKfpEgdg/REQsIDJCQ8kDoG6RBuIRNlm7YmGACvQ9Znm/dH4+XLtI/O19Gj0meva9KkHwHwOmQSj1vIREREMsBCJiIikgHusiYSSezdxsxq8yk/RJR3LGQiDRNT3CxtInoXC5koW++WHlJHID3yzTf9pY5AOoaFTJTNw9VR6gikRxo39pQ6AukYUSd1ZWZmajsHkeTuJCThTkKS1DFIT9y+HYvbt2OljkE6RFQhu7u7Y/bs2YiJidF2HiLJzNqwC7M28DGRpBnTp0/F9OlTpY5BOkRUIY8ePRoXLlyAl5cXevToge3bt+Ply5fazkZERGQwRBVy9+7dsXXrVoSGhqJmzZrw9/eHu7s7fH19ce7cOW1nJCIi0nt5ujFI5cqVMX78eBw9ehSjR49GaGgovL290bp1a2zZsgVKpVJbOYmIiPRans6yTk9Px8GDBxESEoKTJ0+iVq1a6NKlCx4+fIjly5fj9OnTWLhwobayEhER6S1RhRwZGYmQkBCEhYXB2NgYHTp0wOTJk1GxYkXVPE2bNkWXLl20FpRI2/p78TIV0pxBg4ZKHYF0jKhC7tq1Kxo2bIhffvkFzZo1g7Fxzo/Z2tqibdu2Gg9IlF/qOlWROgLpkfr1v5Q6AukYUYV86NAh2Nra5jpPwYIFMXPmTI2EIpLC9bj7AAD7cmUkTkL6IDr6KgCgalXecIbEEXVS1zfffIPk5OQc0589e4ZmzZppPBSRFBZuDcXCraFSxyA9MXeuH+bO9ZM6BukQUYUcHx//3jOo09PTkZiYqPFQREREhibXXdYHDhxQ/f7IkSMoXLiw6nVWVhZOnDjx0V3ZRERE9HG5FvKIESMAAAqFApMmTVL/oLExbG1tMWHCBO2lIyIiMhC5FnJ0dDQAwNPTEzt27IC1tXW+hCIiIjI0os6yPnz4sLZzEEluaOdWUkcgPTJ8+CipI5CO+WAhBwYGonfv3jAzM0NgYGCuC+nfnw/iJt3nXKW81BFIj7i61pQ6AumYDxZyUFAQOnbsCDMzMwQFBX1wAQqFgoVMeuHyzTsAWMykGRcvngfAYibxPljI/91NzV3WZAhW7Nz/5r8/DpY4CemDJUve3Nd/7doPb9AQ/Veenvb0XxkZGZrMQUREZNBEFfKGDRuwf/9+1WtfX1+4uLigVatWiI2N1Vo4IiIiQyGqkIOCglSXPJ05cwbh4eGYN28eHB0dMXv2bK0GJCIiMgSiLntKTEyEnZ0dgDfHk1u3bo02bdrAwcEBvXv31mpAItK+3ce4p4tIaqIK2dLSEo8fP0bp0qVx/PhxDBw48M2HjY2Rnp6u1YBE+WVUTy+pI5AeGTduotQRSMeIKuSGDRti8uTJcHJyQlxcHBo1agQAuHHjhmrLmQxT2tldUkfQGD52kTSJj12kvBJ1DHnq1KmoWbMmnjx5An9/fxQtWhQAEBUVhbZt22o1IFF+OR11E6ejbkodg/TEyZPHcfLkcaljkA4Rvct68uTJOaa/ffgEkT4IDH1zvX1dpyoSJyF9EBCwAgBQv/6XEichXSGqkN9KTEzEkydPcjwbuVq1ahoNRUREZGhEFXJUVBTGjRuH2NhYCIKg9p5CocDVq1e1Eo6IiMhQiCrkyZMno1SpUpg+fTpKlCgBhUKh7VxEREQGRVQhx8TEYNeuXahYsaK28xARERkkUYVsb2+PR48esZBJr034ppPUEUiPTJ78s9QRSMeIKuRRo0Zh7ty5GDlyJOzt7WFsrP6xt5dBEemy8qVspI5AeqRChUpSRyAdI6qQ3z7veMCAAWrHjwVB4EldpDeOXXzz59jDlTd0oM939Oiby+gaN/aUOAnpClGFvGHDBm3nIJLc5gPHALCQSTM2bAgEwEIm8UQVct26dbWdg4iIyKCJunUmAFy7dg2//PILvv32Wzx8+BAAcOjQIURFRWktHBERkaEQVcgRERHo2rUrEhMTcfLkSaSlpQEA4uLisHTpUq0GJCIiMgSiCtnf3x8TJkzAsmXLYGJioppet25dXL58WWvhiIiIDIWoY8g3btxA48aNc0wvUqQInj59qvFQRFKY9m13qSOQHvn11zlSRyAdI6qQixQpgsTExBzPPo6KikKpUqW0Eowov5W05vX0pDmlSpWWOgLpGFG7rL28vDB37lwkJCRAoVAgMzMTp0+fxuzZs9GhQwdtZyTKFwdPX8bB0zwEQ5qxf/8+7N+/T+oYpENEbSGPHDkSEyZMQNOmTSEIAtq2bQtBEODl5YWhQ4dqOyNRvth55CQAoEVdZ4mTkD4IDt4CAGjVqo3ESUhXiCpkExMTzJ8/Hz/88AOioqKgVCrh5OSEChUqaDkeERGRYRBVyG+VK1cO5cqV01YWIiIig/XBQvb19RW9kJkzZ2okDBGRHOw+FvvReTp68OERpFkfLOTk5GS112fOnEGBAgVgb28P4M2lUEqlErVr19ZuQiIiIgPwwUJeuXKl6verVq2CmZkZZs6ciYIFCwIAXr16hUmTJqkKmkjXzRz6tdQRSI/Mm7dY6gikY0Rd9hQUFIThw4eryhgAChYsiO+//x4bN27UWjii/FS0cCEULVxI6hikJ6ysrGBlZSV1DNIhogr55cuXqgdK/FdSUhJev36t8VBEUgj95xxC/zkndQzSE3v27MSePTuljkE6RFQht2rVCr6+vggLC8O9e/dw7949hIWFYdKkSWjZsqW2MxLli7B/ziGMhUwa8vvvu/D777ukjkE6RNRlT9OmTcOsWbMwYcIEZGZmAgCMjIzQtWtXjB8/XqsBiYiIDIGoQjY3N8e0adPw448/Ii4uDsCba5L/e0yZiIiIPl2ebgxSsGBBVK1aVVtZiAxG2llxuzLNanfSchIikgtRx5CJiIhIu/K0hUykzxb+0E/qCKRHli5dLXUE0jEsZKJs5mamUkcgPWJhYSF1BNIxH91lnZGRgTlz5iA+Pj4/8hBJZsdfJ7DjrxNSxyA9sW3bZmzbtlnqGKRDPlrIJiYm2LJlCwRByI88RJL588wV/HnmitQxSE8cOPAHDhz4Q+oYpENEndTl7u6OkydPajsLERGRwRJ1DLl+/fpYuHAhrl27hmrVquW4/ph36yKSr489SrBQIbN8SkJEuRFVyNOnTwfw5iET71IoFLh69apmUxERERkYUYUcHR2t7RxEREQGjZc9EWVb8eNgqSOQHlm7NuceRaLciC7kI0eOICAgADdv3oRCoUCVKlUwaNAgNG7cWJv5iIiIDIKos6y3b98OHx8flCtXDmPHjsWYMWNgZ2eHYcOGYceOHdrOSJQvNu7/Gxv3/y11DNIT69evxfr1a6WOQTpE1BZyQEAAJkyYAG9vb9W0bt26oVq1aggICEDXrl21FpAov/xz6c25Et6tGkmchPTB338fAQD07TtQ2iCkM0RtId+/fx8eHh45pjdq1Ih38CIiItIAUYVcpkwZ/PPPPzmmR0REwNbWVuOhiIiIDI2oXdYDBgzAjBkzEBUVBTc3NwC3P4qCAAAgAElEQVTA+fPnsWfPHkyePFmrAYmIiAyBqELu2bMnihUrht9++w0HDx4EAFSqVAmLFi1C8+bNtRqQKL+YmZpIHYH0iLm5udQRSMeIvuypRYsWaNGihTazEElq0cj+UkcgPbJsWYDUEUjHiDqGTERERNr1wS3kmjVr4tChQ7C2toabmxsUCsUHF3L+/HmthCPKT2v3/gkAGNiumcRJSB+sXr0cADB48PcSJyFd8cFCnjx5MiwtLQEAU6ZMybdARFI5ezUGAAuZNOPUqRMAWMgk3gcLuVOnTgCAzMxMWFtbw9nZGVZWVvkWjIiIyJB89BiysbExfHx88PLly/zIQ0REZJBEndRVtWpVxMXFaTsLERGRwRJ12ZOPjw9mzZqFESNGoFq1arCwsFB7v2jRoloJR5SfvrAsKHUE0iP8e5HySlQhDxkyBMCbYv7v2daCIEChUODq1avaSUeUj2Z/7/3xmWRk97FYqSNQLubPXyJ1BNIxogp5w4YN2s5BMpN2dtd7pz8pZIa0l2n5nIaISP+JKuS6detqOweR5JaFhAMAhnVpLXES0geLF88HAIwYMUbiJKQrRN8689q1a9i2bRvi4uLg5+eHEiVK4NChQyhTpgycnJy0mZEoX/wbwxMXSXMuXboodQTSMaLOso6IiEDXrl2RmJiIkydPIi3tzS7LuLg4LF26VKsBiYiIDIGoQvb398eECROwbNkymJj874k4devWxeXLl7UWjoiIyFCIKuQbN26gcePGOaYXKVIET58+1XgoIiIiQyPqGHKRIkWQmJgIOzs7telRUVEoVaqUVoIR5bcSVkWkjpDDh852B4CKScmq39+yaZIPaSgvSpbk342UN6IK2cvLC3PnzsWiRYugUCiQmZmJ06dPY/bs2ejcubO2MxLli58H9ZA6AukRP7+5UkcgHSNql/XIkSNha2uLpk2b4tWrV2jbti369u2LWrVqYejQodrOSEREpPdEbSGbmJhg/vz5GDlyJCIjI6FUKuHk5IQKFSpoOR5R/lmwdS8AYHTPdhInIX0wZ44fAODHHydKnIR0hahCXrp0KQYOHIiyZcuibNmyqumpqalYs2YNfHx8tBaQKL/ciHsgdQTSIR+7dek/py/kUxLSF6J2WS9btgyvXr3KMf3169dYtmyZxkMREREZGlGF/PYhEu+6evUqihSR35mpREREuibXXdZubm5QKBRQKBRo1qyZWikrlUqkpaWhZ8+eWg9JRESk73It5ClTpkAQBEycOBGjRo1C4cKFVe+ZmJjA1tYWbm5uWg9JlB/KlioudQTSI8VK2EodgXRMroXcqVMnAICdnR1q1qwJY2PRz6Ig0jkTv+E19aQ57XuNkDoC6RhRx5Ctra0RF/e/J+H8888/GDt2LFatWoWsrCythSMiIjIUogp54sSJuHr1KgDgwYMH+P777/H06VNs2rQJixYt0mpAovzit2En/DbslDoG6YnftyzG71sWSx2DdIioQo6NjVU983j//v1wdnZGQEAA5syZg7CwMK0GJMovdxMe4W7CI6ljkJ54/DAejx/GSx2DdIioQs7KylI9dvHEiROqJz+VK1cOjx7xLzAiIqLPJaqQ7e3tsWXLFpw9exYnTpyAh4cHACAxMRFWVlZaDUhERGQIRBXy2LFjsX37dvTp0wdt27aFg4MDAODw4cNwdnbWakAiIiJDIOo6pjp16uDEiRN48eKF2p25evToAQsLC62FI8pP/1eutNQRSI+UsqskdQTSMaIvLDYyMoK5uTmuX78OhUKBcuXKwc7OTpvZiPIVn/JEmvRVlyFSRyAdI6qQMzMzMX/+fGzatAkZGRkQBAGmpqbw9vbGqFGjVCd8ERER0acRVchz585FWFgYfv75Z9SqVQsAcPbsWSxYsACCIGD8+PFaDUmUH6YGbAMA/Dyoh8RJSB+ErJ8LAOjosULiJKQrRBVyaGgo/Pz8VJc7AW8uebK2tsZPP/3EQia98DD5qdQRSI88S+EloZQ3os6yfv78OcqWLZtjetmyZfHs2TONhyIiIjI0ogq5atWqCAoKyjF9w4YNcHR01HgoIiIiQyNql/W4ceMwePBgHD9+HK6urgCAixcv4uHDhwgICNBqQCIiIkMg+jrk8PBwbN68GbGxsQCA1q1bo3fv3ihZsqRWAxLll+qVy0kdgfRI2YpVpY5AOkb0dcglS5bEqFGjtJmFSFLDurSWOgLpkebt+0sdgXRMrseQX79+jZ9//hkeHh5o0KABxowZgydPnuRXNiIiIoORayEvXrwYu3btQpMmTdC2bVv8888/mDZtWj5FI8pf45dvxPjlG6WOQXpi25oZ2LZmhtQxSIfkusv64MGD+PXXX9G2bVsAQPv27dGrVy9kZWXByMgoXwIS5ZdnL15JHYH0yKuXzwEAu4/Fipq/owfvfW3oct1CTkhIQO3atVWvnZ2dYWRkhIcPH2o9GBERkSHJtZCzsrJy3KfayMgImZmZWg1FRERkaHLdZS0IAsaNG6dWyunp6Zg8eTLMzc1V01auXKm9hERERAYg10Lu1KlTjmnt27fXWhgiKdV2rCx1BNIjlRxcpI5AOibXQp45c2Z+5SCS3MB2zaSOQHqkceveUkcgHSPqXtZERESkXSxkomwjFwVi5KJAqWOQnti4fDI2Lp8sdQzSIaJvnUmk79LSM6SOQHokIyNd6gikY7iFTEREJAMsZCIiIhlgIRMREckAjyETZWvowufXkubYV68rdQTSMSxkA5N2dpfUEWTLu1UjqSOQHmnYrIvUEUjHcJc1ERGRDLCQibINnbMaQ+esljoG6YlA//EI9B8vdQzSISxkIiIiGWAhExERyQBP6iLKR9FxyR+dp2o5q3xIQkRywy1kIiIiGeAWMlG2ZnVqSB2B9Eg1Nw+pI5COYSETZevatIHUEUiP1G3kJXUE0jHcZU2ULTUtHalpfEIPaUZ6eirS01OljkE6hIVMlG2U/zqM8l8ndQzSE5tWTMWmFVOljkE6hLusiWRGzJnYRKR/uIVMREQkA9xCJtIDFZOOiJrvlk0TreYgok/HLWQiIiIZ4BYyUba2DWtJHYH0iGu95lJHIB3DQibK5sVCJg1yq99C6gikY7jLmihbyvOXSHn+UuoYpCdevniKly+eSh2DdAgLmSib74pN8F2xSeoYpCeC1/oheK2f1DFIh7CQiYiIZICFTEREJAMsZCIiIhlgIRMREckAL3siyta5SX2pI5AeqePeRuoIpGNYyETZWtR1ljoC6ZHqtRpLHYF0DHdZE2VLfJKCxCcpUscgPfE0OQlPk5OkjkE6hIVMlG3ammBMWxMsdQzSEzs3zMPODfOkjkE6hIVMREQkAyxkIiIiGWAhExERyQDPsiYi0hG7j8WKmm9QZxctJyFtYCETZevd0kPqCKRHvvTsnKf5xZYt6S8WMlE2D1dHqSOQHnGoUU/qCKRjeAyZKNudhCTcSeB1o6QZjxLv4VHiPaljkA7hFrKeSDu7S+oIOm/Whjc/wxU/DpY4CemDvVuXAAD6/zBb4iSkK7iFTEREJAMsZCIiIhngLmsiA1Ix6UiOaaYpxkjPyFSbdsumSf4EIiIVbiETERHJALeQibL19/KUOgLpkUatekodgXQMC5koW12nKlJHID1Suaqb1BFIx3CXNVG263H3cT3uvtQxSE88uBeDB/dipI5BOoSFTJRt4dZQLNwaKnUM0hPhIasRHrJa6hikQ7jLmkgDouOSpY5ARDqOW8hEREQywEImIiKSARYyERGRDPAYMlG2oZ1bSR2B9Eizdn2ljkA6hoVMlM25SnmpI5AeKVfJSeoIpGO4y5oo2+Wbd3D55h2pY5CeiIuNQlxslNQxSIdwC5ko24qd+9/8l89Dfu9DKN6HD6H4sD/3rgfA5yGTeNxCJiIikgEWMhERkQywkImIiGSAhUxERCQDPKmLKNuonl5SRyA90roLTw6kvGEhE2WzL1cmxzQ+NII+VWm7ylJHIB3DXdZE2U5H3cTpqJtSxyA9ERN9ATHRF6SOQTqEW8hE2QJDDwMA6jpVkTgJ6YO/928FAFSu6iZxEtIV3EImIiKSAW4hExHpmc37o/HyZdpH5+voUSkf0pBY3EImIiKSARYyERGRDHCXNVG2Cd90kjoC6ZF2PYdLHYF0DAuZKFv5UjZSRyA9UrykndQRSMdwlzVRtmMXr+LYxatSxyA9ce3KKVy7ckrqGKRDuIVMlG3zgWMAAA9XR4mTkD44fngnAMChRj2Jk5CuYCHLXNrZXVJHICI9tftY7Efn4aVR+Ye7rImIiGSAhUxERCQDLGQiIiIZ4DFkomzTvu0udQTSI52/GSt1BNIxLGSibCWti0odgfRIESte1055w0Imynbw9GUAQIu6zhIn0R0Vk46Imu+WTROt5pCjf88dBQBUr9VY4iSkK1jIRNl2HjkJgIVMmnEmYh8AFjKJx5O6iIiIZICFTEREJAMsZCIiIhlgIRMREckAT+oiyjZz6NdSRyA90n3gRKkjkI5hIZPBio5Lfu/0hOR0mJoYIz0jM58TkT4pZFlE6gikY1jIEuKTnOTl2MUrAAAP1xoSJyF9cOHkQQCAW/0WEichXcFjyETZIi79i4hL/0odg/TExVOHcPHUIaljkA5hIRMREckAC5mIiEgGeAxZC3hsWFofOlmLiLRn97FYUfN19Kik5SS6i1vIREREMsAtZKJso3t3lToC6ZGvh/4sdQTSMSxkomxmJiZSRyA9YmpqLnUEjRC7K5o+Hws5Dz50bPhJITOkvUzL5zSkaX+euQAAaFbHTeIkhknfnq18+u9QAEDdRl4SJyFdwUImynY6KhoAC1kbxJatPom8cAwAC/ldYra4DfXELxYy6QyePU1E+oyFTER66X1b5aYpOe9Rriu7wEn/6WQhi73O16x2Jy0nIU3h1i+JJdXub307xq0Pdh+LRaFCZnj5kXN4dGUXeL4VcoECCo0ty8iikKj5MiMPiJrPtEarz1pvATNTGCl18t82eaatsZpbSv9kpZKlSgMAzC0Lw8TEGAUM5GlPhj5Wx9fnxH3YsrC42Qq+OVu/VKmSaq/zU0FzEygEZb6vV1MOnbsraj7LgiaixipmeS3rlBO1TrE+pfMUgiAIGk1BREREecY7dREREckAC5mIiEgGWMhEREQywEImIiKSARYyERGRDLCQiYiIZICFTEREJAMsZCIiIhlgIRMREckAC5mIiEgGDL6QN23aBE9PT9SoUQOdO3fG2bNnPzjvgQMHMGDAANSvXx9ubm7o1q0b/vzzzxzz7d+/H23atEH16tXRpk0bHDx4UO19QRCwZMkSuLu7w9nZGX369MGNGzc0PrZ3aXqswcHB6N27N+rUqYPatWujT58+OZa5ZMkSODg4qP1q2LChVsb3lqbHuXPnzhxjcHBwQFqa+g3t87JeTdH0WPv06fPesbZt21Y1j9ifh6blZaynT59Gz549Ua9ePTg7O6N169ZYu3Ztjvnk+F3V9Djl+j0FND9WOX9XRREMWFhYmODk5CRs27ZNuHnzpvDLL78Irq6uQnx8/Hvnnz59urBq1Srh0qVLwu3bt4UlS5YIVatWFc6cOaOa5/z584Kjo6OwfPly4ebNm8Ly5csFR0dH4eLFi6p5Vq1aJbi6ugrh4eHCtWvXhBEjRggNGzYUnj9/rlNjHT16tBAUFCRERkYKMTExwuTJkwUXFxfh1q1bqnkWL14stGrVSnj48KHq1+PHj3VqnCEhIYKLi4vaGB4+fPhZ65XrWJOTk9XGeO/ePcHNzU1YsmSJah4xPw+px3rlyhUhNDRUuH79uhAXFyfs3r1bcHFxETZu3KiaR47fVW2MU47fU22NVa7fVbEMupC7du0qTJo0SW1aixYthHnz5oleRpcuXYSZM2eqXv/www9Cv3791Obp27evMGrUKEEQBEGpVAoNGzYUli9frnr/9evXgqurq7Bly5ZPGYYo2hjru5RKpfDll18KGzZsUE1bvHix0LZt27wH/kTaGGdISIjg6uqq9fXmVX78P92zZ4/g6Ogo3L9/XzVNzM9D0zQx1mHDhqm+h4Igz++qNsb5Ljl8TwVBO2OV63dVLIPdZZ2eno7IyMgcu2UaNmyICxcuiF7Oy5cv8cUXX6heX7x4Mccy3d3dVcu8d+8ekpKS1OYxNzdHnTp18rTevNDWWN+VkZGBtLS0HPPcvXsX7u7u8PT0xKhRo3D3rrhHq+WVNseZmpqKpk2bolGjRhgyZAiioqI0vt68yK//p9u3b4eHhwdKly6tNj23n4emaWKsUVFRuHDhAurUqaOaJrfvqrbG+S6pv6eAdscqt+9qXhhsIScnJyMrKwvFixdXm16sWDEkJSWJWsamTZuQkJCADh06qKY9evQoxzKLFy+uWubb/75vvY8ePcrzOMTQ1ljftXDhQhQsWBDNmjVTTXN2dsbMmTOxZs0azJgxA48ePULPnj2RnJz8aYPJhbbGWbFiRfj5+WH58uVYsGABzMzM0KtXL9y+fVtj682r/Ph/euvWLZw+fRrdunVTm/6xn4emfc5YGzVqhOrVq6NLly7o1asXevXqpXpPbt9VbY3zXVJ/TwHtjVWO39W80PyT5g3E/v37MWfOHCxcuBC2trZSx9EqMWNdv349tm3bhnXr1sHS0lI1vXHjxmrzubi4oHnz5ti9ezf69++v1dx59aFxurm5wc3NTe11x44dsXHjRvz0009SRP1sYv6fBgcHw8bGBk2aNFGbrks/j02bNuHVq1e4dOkS5s2bBzs7O3Ts2FHqWBondpz68D3Nbay69GfzfQy2kK2srGBkZJTjX7qPHz+GjY1Nrp8NDw/H+PHjMXv2bHh6eqq9V7x48RzLfPTokWqZb//76NEjlClTRm297/6rTVO0Nda31q1bB39/fwQEBMDZ2TnX5RUqVAhVqlTRytaUtsf5lpGREapXr64aw+es91Npe6zp6enYvXs3unfvDmPj3P+aePfnoWmfM9ayZcsCABwcHPDo0SMsXbpU9Ze33L6r2hrnW3L5ngLaH+tbcviu5oXB7rI2NTVFtWrVcPz4cbXpx48fV/sX1rv27duHH3/8ETNnzkTr1q1zvO/q6prrMu3s7GBjY6M2T1paGs6ePZvrej+HtsYKAIGBgfD398fq1atRu3btj2ZJS0vDrVu3tPKHX5vj/C9BEHDt2jXVGD51vZ9D22M9dOgQkpOT0bVr149meffnoWma+vkqlUqkp6erXsvtu6qtcQLy+p4C2h3rf8nhu5onEp9UJqmwsDChWrVqQnBwsHDz5k1h+vTpgqurq3Dv3j1BEARh3Lhxwrhx41Tzh4aGCk5OTsK6devUTqlPTk5WzXPu3DnB0dFRWLVqlXDz5k1h5cqVgpOTU45LKWrWrCns379fuHbtmjBy5Mh8uexJ02MNCAgQqlWrJoSFhanN8+zZM9U8s2bNEk6dOiXExcUJFy9eFAYPHiy4ubmp1qsL41yyZInw999/C3FxcUJUVJQwYcIEwcnJSbh06ZLo9erKWN/q27dvjjOQ3xLz89C0vI51w4YNwuHDh4Vbt24Jt27dEoKDgwU3Nzdh7ty5qnnk+F3Vxjjl+D3V1ljl+l0Vy2B3WQNAmzZtkJycjBUrVuDhw4ewt7fH6tWrVcfUHjx4oDb/1q1bkZmZCT8/P/j5+amm161bF0FBQQCAmjVrYsGCBVi0aBEWL16MsmXLYuHChXBxcVHNP2jQIKSlpeGXX37B06dP4eLigt9++03tmI4ujHXz5s3IyMjAqFGj1D7bqVMnzJo1CwCQkJCA0aNHIyUlBVZWVnB1dUVwcLDWjrtrY5zPnj3DlClTkJSUhMKFC8PJyQkbN25U2+33sfXqyliBN2fbnjx5EgsWLHjvesX8PDQtr2PNysrCvHnzEB8fDyMjI5QrVw5jxoxROwFIjt9VbYxTjt9TbY1Vrt9VsRSCIAhShyAiIjJ0BnsMmYiISE5YyERERDLAQiYiIpIBFjIREZEMsJCJiIhkgIVMREQkAyxkIgns3LlTHncGIiLZYCGTwZswYQIcHBxUv+rVq4chQ4YgJiYmT8tZsmQJvLy8ckx3cHBAeHi42rQ2bdrg0KFDn5WbiPQLC5kIwJdffomIiAhERETgt99+Q2pqKnx8fLS2PnNzcxQrVkxry5dabvcXJqL3YyET4c1N521sbGBjY4Nq1aqhX79+iI2NRWpqqmqeefPmoVWrVnB2doanpyfmzJmDtLQ0AG92QS9duhQ3btxQbWnv3LlT9TSlH374AQ4ODqrX7+6yfrt1HRYWhubNm8PNzQ3ff/89njx5oprn7W0v69Spgzp16sDPzw9Tp05Fnz59PjiurKwsTJw4EZ6ennB2dkbLli0REBAApVIJAIiIiED16tVzPPd2wYIFaNeuner1+fPn4e3tDRcXF3h4eGDq1Kl48eKF6v0+ffpg6tSpmD17NurXr6+6nWFgYCDatWsHV1dXeHh4YNKkSXj27Jnaunbs2IEmTZrAxcUF3333HTZt2gQHBwe1eQ4fPozOnTujRo0a8PT0xMKFC1n6pHdYyETvePHiBfbt2wd7e3uYm5urpltYWMDPzw/79u3D1KlTsW/fPqxYsQLAm13QAwYMQMWKFVVb2m3atMGOHTsAADNmzEBERITq9fvEx8dj3759WLp0KX777TdcvXoVixYtUr3/22+/YdeuXZgxYwa2bdsGpVKJ0NDQXMeiVCpRsmRJLFq0CPv27cPIkSOxatUqhISEAAAaNGiAokWLqu1SFwQBoaGhaN++PQDg2rVrGDhwIDw9PbFnzx4sXboU0dHRmDhxotq6fv/9dwiCgE2bNmHOnDkAAIVCgYkTJyI0NBTz58/H5cuXMX36dNVnLly4gJ9++gm9e/fG7t274enpiSVLlqgt99ixYxg7diy+/vprhIWFwc/PD+Hh4Vi4cGGuYyfSOdI+24JIeuPHjxccHR0FV1dXwdXVVbC3txcaN24sXLt2LdfPbd68WWjevLnq9eLFi4W2bdvmmM/e3l74448/1KaFhIQIrq6uap+tXr262hN4li9frrb8hg0bCqtWrVK9ViqVQsuWLQVvb2/xgxUEYe7cuULfvn1Vr/38/IRevXqpXp85c0aoWrWq8ODBA0EQ3jx1x9fXV20ZUVFRgr29vfDo0SNBEATB29tb8PLy+ui6jx49KlSrVk3IysoSBEEQRo0aJQwYMEBtnp9++kmwt7dXve7du7ewdOlStXkOHjwouLq6CkqlUsSIiXSDQT/tieit2rVrq7bcnj59ii1btmDAgAHYvn07SpcuDQAIDw/H+vXrERcXh1evXiErK0u161cTypQpg8KFC6telyhRAo8fPwYAPH/+HElJSahRo4bqfYVCAWdnZyQkJOS63C1btmD79u24f/8+0tLSkJGRofZkm/bt22P9+vWIj4+Hra0t9u7dizp16qBUqVIAgMjISNy5cwd//PGH6jNC9jNp4uLiVMfCq1evnmPdJ06cwOrVqxETE4Pnz59DqVQiIyMDSUlJKFmyJGJjY9G0aVO1zzg7OyM4OFj1OjIyEpcvX8aaNWtU05RKJVJTU5GUlIQSJUrkOn4iXcFCJsKb3dHly5dXva5WrRpq166Nbdu2YeTIkbh48SJGjx6NYcOGwcPDA1988QUOHz6M2bNnayyDiYmJ2muFQqEqvk+1b98++Pn5Yfz48XBzc4OlpSU2bdqkdoZ3tWrVUKlSJYSGhmLAgAEIDw/HuHHjVO8rlUp069YN/fr1y7H8kiVLqn5vYWGh9l58fDyGDBmC7t27Y8SIEShatCiioqIwevRoZGRkiB6DUqmEj48PWrduneM9a2tr0cshkjsWMtF7KBQKKBQK1Uld58+fR8mSJTFs2DDVPPfv31f7jImJCbKysnIsy8TE5LO3pAsXLgwbGxtcuXIFDRo0APBmK/XKlSuwsbH54OfOnTsHFxcXeHt7q6bFxcXlmK99+/bYu3cv/u///g+vX79WKz8nJyfcvHlT7R8sYvz777/IyMiAr68vjIyMAABHjhxRm6dSpUq4cuWK2rR3Xzs5OSE2NjbP6yfSNTypiwhvLtNJSkpCUlISYmJiMH36dLx69Uq1O7VChQpITEzE77//jrt372Lz5s05TqiytbXF/fv3ERkZiSdPnqjOAra1tcWJEyeQlJSEp0+ffnLGb775BmvXrsXBgwcRGxuLWbNmISkpKdfPVKhQAZGRkTh69Chu376NZcuW4cyZMznma9euHW7evAl/f380bdoUlpaWqvcGDRqEy5cvY8qUKYiKisKdO3fw119/YcqUKbmuu3z58lAqlVi/fj3u3r2L0NBQrF+/Xm2ePn364J9//sGaNWtw+/ZtbN++HQcPHlSbZ9iwYQgNDYW/vz+uX7+OmJgYhIeHq04cI9IXLGQiAMePH4e7uzvc3d3RrVs3XLlyBf7+/qhXrx4AwNPTEwMHDoSfnx/at2+P48ePY8SIEWrLaNWqFRo3box+/fqhQYMGqsIeP348Tp06hSZNmqBTp06fnHHAgAFo3749fH190aNHDwBAixYtYGZm9sHP9OjRA1999RXGjh2Lrl27Ij4+Hv37988xn62tLWrVqoXo6GjV2dVvVa1aFRs3bkR8fDy8vb3RoUMHLFiw4KPXUVetWhWTJk1CYGAg2rZti+3bt+PHH39Um8fNzQ3Tp09HUFAQ2rdvjz///BODBg1SG5OHhwdWrVqFU6dOoVu3bujWrRtWr16NMmXKfPRnRqRLFMLnHqQiIsl07NgRtWrVwuTJk6WOojF+fn44ceIE9u7dK3UUonzFY8hEOiI+Ph4RERGoU6cOMjMzERwcjGvXrqld16uL1qxZg4YNG6JgwYI4fvw4tm7ditGjR0sdiyjfsZCJdESBAgWwe/duzJkzB0qlElWqVEFAQIDapVC66N9//8Vvv/2G58+fw87ODqNHjw82afEAAAA9SURBVEbfvn2ljkWU77jLmoiISAZ4UhcREZEMsJCJiIhkgIVMREQkAyxkIiIiGWAhExERyQALmYiISAb+H2rmW+0OTmOPAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"\n",
"ax.hist(mlb_trace['ba'][:, trout_ix], bins=30, alpha=0.5, lw=0.);\n",
"\n",
"ax.vlines(batter_df['h']\n",
" .div(batter_df['ab'])\n",
" .loc['troutmi01'],\n",
" 0, 275,\n",
" linestyles='--',\n",
" label=\"Actual batting average\");\n",
"\n",
"ax.xaxis.set_major_formatter(ba_formatter);\n",
"ax.set_xlabel(\"Batting average\");\n",
"\n",
"ax.set_yticks([]);\n",
"ax.set_ylabel(\"Posterior density\");\n",
"\n",
"ax.legend();\n",
"ax.set_title(\"Mike Trout\");\n",
"\n",
"harper_ix = (batter_df.index == 'harpebr03').argmax()\n",
"ax.hist(mlb_trace['ba'][:, harper_ix], bins=30, alpha=0.5, lw=0.);\n",
"\n",
"ax.vlines(batter_df['h']\n",
" .div(batter_df['ab'])\n",
" .loc['harpebr03'],\n",
" 0, 275,\n",
" linestyles='--');\n",
"\n",
"ax.xaxis.set_major_formatter(ba_formatter);\n",
"ax.set_xlabel(\"Batting average\");\n",
"\n",
"ax.set_yticks([]);\n",
"ax.set_ylabel(\"Posterior density\");\n",
"\n",
"ax.legend();\n",
"ax.set_title(\"Mike Trout\");"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"scrolled": false,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 8))\n",
"ax.set_aspect('equal');\n",
"\n",
"ax.scatter(mlb_trace['ba'][:, harper_ix],\n",
" mlb_trace['ba'][:, trout_ix],\n",
" alpha=0.25);\n",
"\n",
"BA_RANGE = [0.18, 0.37]\n",
"\n",
"ax.plot(BA_RANGE, BA_RANGE, '--', c='k');\n",
"\n",
"ax.set_xlim(*BA_RANGE);\n",
"ax.set_xlabel(\"Bryce Harper\");\n",
"\n",
"ax.set_ylim(*BA_RANGE);\n",
"ax.set_ylabel(\"Mike Trout\");\n",
"\n",
"ax.set_title(\"Posterior Expected Batting Average\");"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.96666666666666667"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(mlb_trace['ba'][:, harper_ix] < mlb_trace['ba'][:, trout_ix]).mean()"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Bryce Harper vs. Rhys Hoskins"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 8))\n",
"ax.set_aspect('equal');\n",
"\n",
"hoskins_ix = (batter_df.index == 'hoskirh01').argmax()\n",
"ax.scatter(mlb_trace['ba'][:, harper_ix],\n",
" mlb_trace['ba'][:, hoskins_ix],\n",
" alpha=0.25);\n",
"\n",
"BA_RANGE = [0.18, 0.37]\n",
"\n",
"ax.plot(BA_RANGE, BA_RANGE, '--', c='k');\n",
"\n",
"ax.set_xlim(*BA_RANGE);\n",
"ax.set_xlabel(\"Bryce Harper\");\n",
"\n",
"ax.set_ylim(*BA_RANGE);\n",
"ax.set_ylabel(\"Rhys Hoskins\");\n",
"\n",
"ax.set_title(\"Posterior Expected Batting Average\");"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.45700000000000002"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(mlb_trace['ba'][:, harper_ix] < mlb_trace['ba'][:, hoskins_ix]).mean()"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"mlb_df = batter_df.assign(\n",
" width_95=sp.stats.iqr(mlb_trace[\"ba\"], axis=0, rng=(2.5, 97.5))\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"def plot_ci_width(grouped, width):\n",
" fig, ax = plt.subplots(figsize=(8, 6))\n",
"\n",
" low = grouped.quantile(0.025)\n",
" high = grouped.quantile(0.975)\n",
"\n",
" ax.fill_between(low.index, low, high,\n",
" alpha=0.25,\n",
" label=f\"{width:.0%} interval\");\n",
"\n",
" grouped.mean().plot(ax=ax, label=\"Average\")\n",
"\n",
" ax.set_ylabel(\"Width of 95% credible interval\");\n",
" ax.legend(loc=0);\n",
" \n",
" return ax"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Uncertainty in batting average"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = plot_ci_width(mlb_df['width_95'].groupby(mlb_df['ab'].round(-2)), 0.95)\n",
"\n",
"ax.set_xlim(0, mlb_df['ab'].max());\n",
"ax.set_xlabel(\"At bats\");\n",
"\n",
"#ax.set_ylim(bottom=0.);\n",
"ax.yaxis.set_major_formatter(ba_formatter);\n",
"\n",
"ax.set_title(\"Batting average\");"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ax.figure"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Save Percentage"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"We apply a similar analysis to save percentage in the NHL. First we load 2018 goaltending data from [Hockey Reference](https://www.hockey-reference.com/leagues/NHL_2018_goalies.html#stats::none)."
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [],
"source": [
"nhl_df = load_data(get_data_url('2017_2018_goalies.csv'), 'Player', ['SA', 'SV'])"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>name</th>\n",
" <th>sa</th>\n",
" <th>sv</th>\n",
" </tr>\n",
" <tr>\n",
" <th>player_id</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>allenja01</th>\n",
" <td>Jake Allen</td>\n",
" <td>1614</td>\n",
" <td>1462</td>\n",
" </tr>\n",
" <tr>\n",
" <th>andercr01</th>\n",
" <td>Craig Anderson</td>\n",
" <td>1768</td>\n",
" <td>1588</td>\n",
" </tr>\n",
" <tr>\n",
" <th>anderfr01</th>\n",
" <td>Frederik Andersen</td>\n",
" <td>2211</td>\n",
" <td>2029</td>\n",
" </tr>\n",
" <tr>\n",
" <th>appleke01</th>\n",
" <td>Ken Appleby</td>\n",
" <td>55</td>\n",
" <td>52</td>\n",
" </tr>\n",
" <tr>\n",
" <th>bernijo01</th>\n",
" <td>Jonathan Bernier</td>\n",
" <td>1092</td>\n",
" <td>997</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" name sa sv\n",
"player_id \n",
"allenja01 Jake Allen 1614 1462\n",
"andercr01 Craig Anderson 1768 1588\n",
"anderfr01 Frederik Andersen 2211 2029\n",
"appleke01 Ken Appleby 55 52\n",
"bernijo01 Jonathan Bernier 1092 997"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"nhl_df.head()"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"n_goalie, _ = nhl_df.shape"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [],
"source": [
"with pm.Model() as nhl_model:\n",
" η = hierarchical_normal(\"η\", n_goalie)\n",
" svp = pm.Deterministic(\"svp\", pm.math.sigmoid(η))\n",
" \n",
" saves = pm.Binomial(\"saves\", nhl_df['sa'], svp, observed=nhl_df['sv'])"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (3 chains in 3 jobs)\n",
"NUTS: [σ_η, Δ_η, μ_η]\n",
"Sampling 3 chains: 100%|██████████| 6000/6000 [00:21<00:00, 276.80draws/s]\n"
]
}
],
"source": [
"with nhl_model:\n",
" nhl_trace = pm.sample(nuts_kwargs={'target_accept': 0.9}, **SAMPLE_KWARGS)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"az.plot_energy(nhl_trace);"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
"text/plain": [
"<xarray.Dataset>\n",
"Dimensions: ()\n",
"Data variables:\n",
" μ_η float64 1.0\n",
" Δ_η float64 1.0\n",
" σ_η float64 1.0\n",
" η float64 1.0\n",
" svp float64 1.0"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"az.rhat(nhl_trace).max()"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Sergei Bobrovsky"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"\n",
"bobs_ix = (nhl_df.index == 'bobrose01').argmax()\n",
"ax.hist(nhl_trace['svp'][:, bobs_ix], bins=30, alpha=0.5, lw=0.);\n",
"\n",
"ax.vlines(nhl_df['sv']\n",
" .div(nhl_df['sa'])\n",
" .loc['bobrose01'],\n",
" 0, 325,\n",
" linestyles='--',\n",
" label=\"Actual save percentage\");\n",
"\n",
"ax.xaxis.set_major_formatter(ba_formatter);\n",
"ax.set_xlabel(\"Save percentage\");\n",
"\n",
"ax.set_ylabel(\"Posterior density\");\n",
"\n",
"ax.legend(loc=2);\n",
"ax.set_title(\"Sergei Bobrovsky\");"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Uncertainty in save percentage"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"nhl_df = nhl_df.assign(\n",
" width_95=sp.stats.iqr(nhl_trace[\"svp\"], axis=0, rng=(2.5, 97.5))\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
"image/png": 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Ia+nfO59QqQeETl1CpR7QuutSUHCchIQ0JElqEd+OG0qo1KUl1UNRFAoLT5CY2LbWaxc6xkLkCmkhPN4AuUWVFNncyCLWEwThIlW1VAjCuTXG34kILFoQWVawlrvIKarE5Q2E3AeDJP7aBEEQQp74qG+BXG4/JwvtWCvcIdEzKkkSLm+Ak8WhkWtFEARBODsRWNRL090UA7JCUamTk8WVeP0yrbXxQpYVimwuThbasVd6sVZ4Wm1dBEFoGgcO7Oeaa67kwQfvbe6iCBdABBb18On3RykpdzXpNR1OHycK7JQ5vK3rhixBpdvP8UI71nIXgeqWCpvdjdPjb+bCCYLQkq1cuZybbvp//PLLEY4dO9ro1/P7xWdSQxKBRT2UlLlY9Pl+vtp+Eo830GTX9QdkCkoc5JY48Lfw+eiSBH5ZJt/qJLfIXut9OtWCoYREJ48gCA3N43Gzfv1axo69mcGDh7Fq1YrgaxMn3s2bb86qsb/DUcnQoQPYsOFrAHw+H2+//QY33TSaYcMGcN99d/LDD9nB/bdv38rAgX3Izt7IxIl3MnjwVfzwQza5uSf5y18eZuzYUQwfPpB7772DTZu+r3Gt0lIrjz8+laFDB3DLLWNYvfozxo+/jQUL5gb3qays5OWXpzNmzAhGjLiGyZPvZ//+nxrjrWqxRGBRD+NHdqJHegzbDhTz7qqf2POLlaaarasoUFHp5URhBXa3v0W2XihAmcPL8Xw75XbPWafNutz+6i6RFlgJQRCa1TfffEVCQhLp6ZcxatRo1q5dHWxRGDVqNF99ta7GqpXffvs1Op2Ofv0GAjBjxrPs3Lmdp59+gfff/zfXXXc9jz8+lUOHDta4zpw5bzJx4u9ZsuRjunbNxOl0ctVV/Zk16y3ee28pgwYNZdq0Rzl+/FjwmBdeeIaCggLeeGMOL730KuvWfU5BQUHwdUVRePTRP1JSUsTMmbNYtGgJPXtmMWXKg7XSWYSykEhC1lQMeg2jrkijZ3os67ed5PMfTrDrcAnDLk8lKcbUJGXw+mTyiypxWvTERRppCWtqSZKE2xegyObE6fLVaR0OW4Ubi1GLXqtu/AIKgsCmPfls3J1//h0b0MAeSQzonlSvY1atWsGoUaMByMq6HIPBwPfff8uQIcMZMWIkr7/+Ctu3b6VPnysBWLduLUOGDEen05Gbe5L167/go49WkpiYCMAtt/wvW7duYcWKT3jkkb8Er3Pvvfdz5ZVXBZ9HRUXRseOviSvvumsCmzZ9zzffrOfuu+/jxIljbNmSzTvvLCIzszsATzzxNLfeOjZ4zPbtWzl8+CCrVn2JXm8AYOLEB9m06Xu++GI1d9xxV73ei9ZKBBYXIDHaxB3DO7LvWCkbdubxwboD9EiP4ZqeyZj0jf+WyoqCrcKNy+0jIcaESa9tspaT31JQsFZ4KC131WvZ4EBAodDmIjXeTAuIjQRBaAFOnsxhz55dPPPMdKDqS8uIEdeyatVnDBkynIiISPr27ce6dZ/Tp8+VlJQUs2PHVu655z6gatCnoiiMH39rjfN6vV4uv/yKGts6d+5a47nL5WLRonls3ryRkpISAgE/Xq+X9PSOABw/fgyVSkXnzl2CxyQkJBIb+2sSzQMHfsbtdjNmzIha18/NPXmR707rIQKLCyRJEpntY+iYEsmmvflsP1jMwZwyBnZPotdlsaiaoCnB7Q2QU1hJdISBmHBDk96gJQmcHj9FNhcu94UNfHK6fJRVeoi26EUiNkFoZAO617/1oKmtXLmcQCDALbf8msfp1JemwsICUlKSGTlyNDNnvsCf//wX1q//gvj4BHr2zKreV0aSJN599300mpq3N71eX+O5wWCs8fytt17nhx+y+cMf/kibNmkYDAZeeOFp/H5fncsvyzLR0dG89db8Wq+FhTVsoq+WTAQW9XCmIQF6nZqhvdvQIz2Gr7adZP22k+w+YmXY5W1Ija//Uqj1JcsKJTYXTref2AgjWo0KnUYCpEZrxfDLCtZyN+WVnotel8Ja5sZk0KLXiOE+gnAp8/v9rF27igcemMyAAQNrvPb8839jzZqVTJz4AAMHXsPMmbB58/esW7eWESOuDY7X6tixE4qiUFpqpXfvPvW6/u7dO7n22usZPHgYUJUFOzf3JKmpaQC0bdsOWZY5cGA/3bplAlBUVEhJSXHwHJ06daa0tBRJkkhJaXPB70VrJz7N6yEuyoT2LDfA2Agjtw25jP8Z0A6X18/Srw6xavMx7M66R7sXw+nykVNYwfH8co7mVZBX4qCs0ovL68cXUJCkhlm61e7ykVNox1bhbpDFrvwBmWKbC9EfIgiXtuzsjZSVlTF27I106HBZjZ9hw0ayZs1KFEVBr9czaNBQFi9eyMGD+xk58rrgOdLS2jJy5HVMn/4M33yzntzck+zf/xP/+tcHwVkjZ5OamsZ3333DgQP7OXLkMM8//xRer+e0c7fjyiv78corM9i7dw+HDh1gxoxn0esNwc/WPn360r17T/761z+Tnb2JvLxc9u7dzYIFc9m1a0fjvHEtkGixqAeDVkWbBAt5xZVnnG4qSRKd0qLokBzBf38qYMvPRRzKLad/ZiJ9MuJQqxs3jlOUqgys/kAAtzdAeWXVYlRqlQqNRsKg02DUa9AZPfhlBa26bi0bkgRev0xxmQu7w9vg3RYOl5dyh5bIMJ3oEhGES9SqVSvo3bsPERGRtV4bMmQ477wzmy1b/svll/dl1KjRrFmzkoyMTrRv36HGvk888TSLFy/g7bffpLi4kPDwCLp06XreFoyHHnqYF198nj/84T4slnBuvfV3eL01k05Om/Y0L788nSlTHiAyMor77ptEXl4uOp0OqLoHvPLKP5g3bw4zZ07HZislOjqG7t17cO2111/kO9R6iOym9WC1ViLLCr6ATF6J47xjC2x2D1/vOMmR3AqiLXqGXd6G9knhTVTas4uKNGG3u2sGG1o1Wo2qVrBxagqp1ebCH2i8bHxajYq0JAtaVd2Dr9acffK3QqUuoVIPaN11KSg4HsxW2ZIyaV6sllaXsrIybrzxWp55ZnqwC6UuWlo9Tv97Od2FZjcVLRYXQKtWkRJnJt/qwHGOro4oi55brknnSF45X23L5aNvj9CxTQRDslKINOvPelxjU6jqgvAHwO0JUGb/TcuGvirY0KpVlJS7cboavzvHV90ikhx96QxwEgShddm27UecTgcdOlyGzWbj3Xffrp6p0r+5i9aiiMDiAmlUEimxYeSXOrFXes+5b3pyBG0TLGw9UET23kIW5v/MlV0SSIkNQ6WSUNf4UdXcppaqn6tQNdA4iTOp6kY5LdjAc/6DGpi90ovdqMNi1Db5tQVBEM7H7/fz7rtzyMvLxWAw0LVrd956612MRuP5D76EiMDiIqgkieSYMAoliTL7uW/EGrWKq7om0q1dNN/syGXz3oJz7n82apVUKxg5FXi0T7LQPzMRg651/rMqStWy6Ua9Bk1LWPlLEAThNH379qNv337NXYwWr3XegVoQCUiINqFWqSitcJ138KHFpGPsgPYM7OHG5QkQkGXkgEJA/vVHrvFYPutrpx/r9gXYeqCYfcdsXN0jiR4dYppkLY2G5vEGsJa7SYw2ioGcgiAIrZAILBqABMRFGlCpJUpszjrdEKMtBrA0bDkKS518tT2XdT/msPNQCUMvTyEtvoEv0gTK7R7MRi1hBvHnKQiC0NqIdSwaUGy4nviYsGZrKUiINvG7YZcxdkA73F4/y746zIqNRyl3nHsMSEsjKwpFNmeDrJMhCIIgNC3xlbABKQpEm/WoJYnCUke9cmc0FEmS6JwWRXpyBFv2F/LDT4UcySvnis4J9O0aj07TOpJ+ebwBrBUe4qMMoktEEAShFREtFg1MURQiwrQkx5nRNPKCWOei1agYkJnEfdd3pWObSLL3FbBg9c/8dKy02RKW1ZfN7sbpubA8JIIgCELzEIFFI1AUMBs0pMSb0Wmb9y0OD9NxQ/923D68Iya9hlXZx5m3fA8Fpc5mLVddyLJCkc2FQusIhARBEAQRWDQaRQGjTk1KvAW9rvm7H9rEmRk/shPXXplGSbmb9784wOc/nMDRBItfXQyX20+p3dto63cIgiCcSX5+HgMH9mH//p+auygXZcGCuYwff1uTXlOMsWhkeo2KNglm8orPvwR4Y1OpJHqkx3BlZhKfbz7KtoPFHDhho39mIpc3QS6TC1Va7sJs0KDXNn+AJgitmV+W8fqabilpnVaFph7L9DudDt599x2+++4bbDYbGRmd+OMf/0yXLt2C+0yf/gyff76qxnFdu2Yyb957wedvvvkaa9aswmg0MmnS5BqJyjZu/I4lSxbz9tvzz/mFJT4+gRUr1p4xd8nZrFmzklmzZvLll9/X+ZhQJAKLJqBVVS0BXmB1Uuls/hkaBr2GIVkp9EyP4ZsduXy7M49dR6wMyUohPTm8xbUOBAIKhTYXqfFmkQRVEC6C1ydzoqDp8p+kJVrQ6OseWLz00gscOXKIadOeIT4+gS++WMOf/vR7/vnPj4iLiw/u16fPlTz11HPB51rtr6v1btz4HV9++QWzZs0mJ+cEL774PFde2Y/IyEicTgdvvvkaL7302nk/59RqNTExsfWobcPy+/1oNK3zFt0yv6KGII1KIjnWRLhZ19xFCYoON3DLoHT+36B0JAk++e4XPv72CNZyd3MXrRany0dZdbZWQRBCj8fjZsOGr5k0aTK9e/ehTZtUJkx4gJSUVD799OMa++p0OmJiYoM/4eERwdeOHz9KVlZvOnfuyogR1xIWFkZ+fi4Ac+e+xciR19XKiHomv+0K2b59KwMH9mHr1i1MnHgXw4YNYMKE8Rw4sD/4+owZz+JyuRg4sA8DB/ZhwYK5APh8Pt5++w1uumk0w4YN4J57/o8ffsgOXuvUubOzNzJx4p0MHnwVn376MQMH9uHIkcM1yrVixSdcf/0w/H4/gUCAF198jltvHcvQoQMYN+4mlixZjCw3b4Kz1hkOtVKnlgBXq1TYKlrOzbtDcjhtE7uw42Axm/YWsOjzn8nKiKNf1wRMhpaTt8Na5ibMoEWnEfGwIISaQCBAIBBAp6uZoFGv17N7984a23bv3smYMSMwmy1kZfXm/vt/T1RUNACXXZbBZ599SkVFBXl5uXg8HlJSUtm7dw/bt29l4cIlF1XOuXNn8+CDU4iJieUf/3iF5557kn/+8yO6d+/JlCl/Zt68t/j3v5cDYDSaAJgx41lyc0/y9NMvEBcXz5Ytm3n88am8++77dOyYETz3nDlvMnnyVFJS2mAyhbFu3RrWrfucBx98KLjPl1+uZciQEWg0Gvx+P3Fx8Tz33ItERkbx00/7+PvfpxMREcGYMTdeVD0vhggsmkFCtBGVSqK0/PxLgDcVtUqiT+d4uraL4vvd+Ww7UMy2A8VEmvUkRhtJigkjMdpEfJSx2cY6+AMyxTYXKfFhiIkighBaTKYwMjN7sHjxAjp0SCc6Oob1679g3749pKS0Ce7Xt28/Bg0aQlJSCvn5ebz77hymTJnEggX/RKfT0bdvP0aOvI6JE+9Er9czbdozmEwm/v736TzyyBOsXv0ZH320FL3ewNSpj9K9e896lfO++x6kd+8+ANx99338/vf3UVxcRHx8AmazGUmSanSh5OaeZP36L/joo5UkJiYCcOut49iy5QdWrPiERx75S3Dfe++9nyuvvCr4fOTI0Sxb9k8mTZqMJEkUFBSwa9cOHnjgDwBoNBruu29ScP+kpGQOHtzPl1+uE4HFJUepWgLcbNTiD8h4fQG8PhmPz48sgyzLVb+bIeowGbSMujKN3hlxHMktp6DUSW6Jg/0nyoL7xIQbSIw2kRhjIinaRFykEW0TtSJUuryUO7REhrWcLiVBEBrGU089x4svPsdNN41GrVaTkdGJ4cNHceDAz8F9hg8fFXycnn4ZnTt34ZZbxpCdvZFBg4YCMGHCA0yY8EBwv8WLF5CZ2QOz2cyCBXNZtOhf/PLLYf72t7/y4YcraozROJ/09I7Bx7GxcQDYbDbi4xPOuP+BA/tRFIXx42+tsd3r9XL55VfU2Na5c9caz4cPH8ns2bPYtWsHvXr1Zv36tSQlJdcIhpYv/5iVK1dQWJj1cqmNAAAgAElEQVSPx+PB7/eTkJBU5/o0BhFYNJfq6aigRjJpAQlJAn/g1wRjgYCCzy/j9VcFHj5/APm0RGSNKS7SSFzkr6mAHS4fBTYnBVYnBaVOjhVUsO9YKQCSBHERRhJjTFUBR7SJuAhDo8wyURQosbkwiTwighByUlLaMHv2PFwuFw6Hg9jYWP72t7+SnJxy1mNiY+OIj08gJ+fEGV8/ceI4q1Z9xqJFS/j881X07JlFbGwssbGx+HxeTpw4Tnr6ZXUu4+kDKk8NAFWUs49pUBQZSZJ49933g8eq1RKBgIJeX7Pbx2ComX49KiqaK67oy7p1n9OrV2++/HJtjRkuX321jjfeeI0//OGPZGb2JCwsjE8++ZDvvvu2zvVpDOLTuQWoaphQUBRQSaBSS2jVaqgOoiWp6g9YURT8AQV/dYvGb1s7TgUijSHMqCXdGEF6ckR1mRUqXT4KSp3kVwcbB3PK2H3EClR1rcRFGkk6LdiICTc0SB4Vn1+muMxFYlz4RZ9LEISWx2g0YjQaqaioYMuWbB58cMpZ9y0rK6O4uOiMMzgURWHmzOlMnvxHzGYziiITCPiDr/n9fmQ50GDl1mi0BAI1P4M7duyEoiiUllqDXSgajQp/HT+rR44czaxZMxk79maOHDnM88+/HHxt9+6ddO2ayS23/G9wW27uyQaoycURgUUroCgEl+FWqyTUqlNjHGq2dnh9MiUVLsrtnkYfuyFJEhaTDotJR8c2kdXlVCh3eGsEG/uOlrLjUAkAEWE6bhtyGVEW/blOXSf2Si+lFW4kiRYzTkUQhIvzww/ZyLJM27btyM3N4a233iAtrR3XXz8WAKfTybx57zB48FBiYmLJz89j7ty3iIqKZtCgIbXOt2rVCiyW8GAXSY8evZg/fy67du3k8OGDaDQa0tLaNlj5k5KS8Ho9/Pjjf+nYsTMGg4G0tLaMHHkd06c/w+TJfyIjozNOZyU//vgjKSkpwbKdzTXXDObvf5/BSy89T5cuXWuUNzU1jTVrVpGdvYk2bVL56qt17Ny5HYuleb90icCilTu9tUOjlkiMNhFm1FFic+LxNlwkXheSJBFp1hNp1tM5Laq6fAqldg95JQ6+2ZHLv78+xO+GZxBxkWMkFAWKSp3o1RIWk1asbyEIIaCyspK5c2dTXFxEeHhVQHD//X8IdiGoVCp++eUwa9euprLSTkxMLL179+G5517EZAqrca7SUiuLFy9gzpwFwW2dO3dl/Pi7mTbtEYzGMJ588jn0ekODlb97957ceOMtPPPMNMrLy7nnnolMmPAATzzxNIsXL+Dtt9+kuLiQ8PAIunTpGmzBOBeDwcA11wzmiy/W8Mc/PlLjtf/5n1s4dOggzz77JKAwaNBQxo37P1av/qzB6nQhJKW1ZKRqAazWylaTytsvK1jL3ZTbPbUGgUZGmigra/pcIQWlTv799WGMejW/G9YRi+nigovISBPl5U5MRi1xkUaMOk2rSbD2W3FxFoqLm27hosYSKvWA1l2XgoLjJCZWfbM9vdm9pa+8eT716UJoyVpaPU7/ezmdSiURE2Ou9/lEi0WI0qgkEqKNhBm1FDdD68WZJEabuHVwOv/+5jD//vow44Z1xGy8uHUyFAUcTh9ut59Ii4HoiKq09YIg1KZRqeq1EqYgXAjxFxbKqrOspiVaiAo3oGoBN9zk2DBuHZyO3enjw28ON1ha9ICsYC13caLAjt3lQ/SNCIIgNA8RWFwC1JJEYrSRlHhzi8m0evM1HSir9PDh14dxNVBwAeDxBsgrruRkkQOPX25xeU8EQRBCnQgsLhGKAmHVrRcRZl2DTPu8GG0TLdw4sAPWCjcffXukQbtqFAUqnV5OFFRQXO5qNeNiBEEQQoEILC4xakkiNcHSIlovOiSH8z8D21Nkc/LxhiN4fQ07DiQQUCixuTheWN09IgiCIDQ6EVhcgiRJIkyvoW1iONERDbNo1YW6LCWCGwa0J8/q4D/f/dIoC3yd6h7JLRHdI8KlQjrnapCCcErV30nDfiaKwOISppIgIcpIm3gzhmZsveiUGsn1V7Ulp6iST7//BX+g4T8QFQXsDi85BRWUVLibJQ+LIDQVnc5AWVkJfr+v1U7BFhpX1cqjPsrKStDpGm4tDxDTTS95igImfdXYC2u5B5vd3SxjErq2iyYgK3z+wwmWbzzKTQPbN0quEX9AobjUib3SQ2yUCbNRIzKlCiEnKiqOyspySksLAQVZDo3WC5VKFRJ1aSn1UKnUGI1mzOaIBj1vkwcWS5YsYcGCBRQXF9OxY0eeeOIJ+vQ5++pjW7Zs4aWXXuLQoUPEx8dz33338bvf/S74+ty5c1m3bh1Hjx5Fp9PRq1cvHn74YTIyfs1x/5e//IVPP/20xnl79uzJhx9+2PAVbKVUkkR8lAGzSUNhqRO3p+nXvejeIYaArLDuxxw+23yMsQPao26kbhq3N0BukR1LmI64SCM6jUosDS6EDEmSsFgisVgiW/VCX78VKnUJlXqcTZN2haxZs4YZM2YwadIkli9fTlZWFhMnTiQvL++M++fk5HD//feTlZXF8uXLeeCBB3jhhRf44osvgvts2bKF22+/nWXLlrF48WLUajX33HMPZWVlNc7Vv39/Nm7cGPyZN29eo9a1NVIUMOo0pCVYiIk0NsvYi16XxTKsdwqHTpazOvtYo7aeKApUVHo5nm/HavegiKYLQRCEi9akLRaLFi3ipptu4rbbbgPgqaee4vvvv2fp0qX8+c9/rrX/smXLiI+P56mnngIgPT2dXbt2sXDhQkaNGgXAggULahwzc+ZM+vTpw/bt2xk69NfkLjqdjri4uMaqWkhRSRLxkQYsJi0Olx+Hy4vXJzfK2IczubxTPH5ZYcPOPNSqE4y+Kq1RB1z6AzJFVicVlR5S4sxoG6ELRhAE4VLRZJ+gXq+Xffv2MWDAgBrbBwwYwI4dO854zM6dO2vtP3DgQPbu3YvPd+bpgw6HA1mWCQ+vmd1t27Zt9OvXj1GjRvHkk09itVovojahT1HAoFUTG6GnbaKFtkkWUhMsREcYMOjVjdZFcUrfLgkM7J7EvmOlfPFjTpMMQHN7AuRbnWJgpyAIwkU4a4vFunXr6nySkSNHnncfm81GIBAgNja2xvaYmBg2b958xmNKSkro169fjW2xsbH4/X5sNhvx8fG1jpk+fTpdunQhKysruO3qq69mxIgRtGnThtzcXF5//XXuuusuPvnkE3S6uifCupBkLC1VXJzlgo8NBGRcHj9uj59Ktw+XO0BAlht8jMLogR3QaNV8u/0kJqOWGwZ2qNVyERlpatiLAq4ApCaYGz14+q2L+TdpSUKlHhA6dQmVekDo1CVU6nEmZw0spkyZUqcTSJLEzz//3GAFuhgvvvgi27ZtY+nSpajVv06fvP7664OPO3XqRLdu3Rg6dCjffvttnYKiU1pTdtNzaciBQ2atGpNahdcfwOUNUOny4fH48QcaJtC4IiMWh9PLf/cW4PcFGJKVEgwuGitLa3m5E4/bS4zF0GRT9UJlMFeo1ANCpy6hUg8Inbq0lno0eHbT/fv3X1SBfisqKgq1Wk1JSUmN7Var9axjH2JjY2t1WZSUlKDRaIiKiqqxfcaMGaxZs4bFixeTmpp6zrIkJCSQkJDAsWPH6l8RoQZFUZAk0GvV6LVqoi16fH65KtBwB6h0+/B6Axc8PkOSJAb3SiYQkNl6oBiNWsXVPZIadcyFokCJzYVOo8ZsEDOyBUEQ6qPJxljodDq6detWq9tj8+bNNbotTterV68z7p+ZmYlW+2u67RdeeIHVq1ezePFi0tPTz1uW0tJSioqKztiVIlwcWVZQqySMOg0xEXraJphpmxQeHJ9xITNNJEli2OVt6JEew39/KiR7X2EjlLwmWVYotFat1CkIgiDUXZ2/jvn9fnbv3k1+fn6tgZM33nhjnc5xzz338Nhjj9GjRw969+7N0qVLKSoqYty4cQA89thjQNXMDoBx48axZMkSpk+fzrhx49i+fTuffvopr776avCczz77LCtWrOCtt94iPDyc4uJiAEwmE2FhYTgcDmbPns3IkSOJi4sjNzeX1157jejoaIYPH17X6gsX4FQvglYtoVVrsJi0GHQaCq0OAvXsUpIkiVFXpCLLChv35KNWSYzq374OZVBweQM43T6cbj9Ojx+H21/judNdtc0fkLm6RxLdO8QA4PPLFFgdpMZbaOacbYIgCK1GnQKLI0eO8OCDD3Ly5EkURUGtVuP3+9FoNOh0ujoHFqNHj8ZmszFnzhyKiorIyMhg3rx5pKSkAJCfn19j/9TUVObNm8eLL77I0qVLiY+PZ9q0acGppgD/+te/ALj77rtrHDt58mQeeugh1Go1Bw8eZPny5djtduLi4ujbty+vv/46ZnPoDMZsDWRZISJMBxIUllxYcHHtlWn4AzIbduWh02uwGDTVgcHpgcJpjz3+M471kKSqNTtMhqqfxGgjFQ4vn/9wArc3wBWdq1qzXG4/BTYHSdFhDbyafstweo+SmAwjCEJDkJQ6jE6bMGEC4eHhTJ8+nQEDBrBixQrsdjvPPPMMf/rTn2pNCQ1VYvBmw5AkqHD6KLiA4AIgICus3HSUgyfLa2zXaVWY9FrCqoMFk/5U4KANPg6r3m7QaWp1y/gDMquzj3Mgp4x+3aqmu54ayxEbZSQuwtBoN99m+TeRwFbpxev1o1ar0KhUqDUSakmFSlX176SqfqxWSaiq34uq90A543vR3H9bDSlU6hIq9YDQqUtrqUeDD9483d69e/nggw8wmUyoVCr8fj/dunXj0Ucf5fnnn2flypX1vrBw6VIUCDdpIc5MQUklgUD97tZqlcTYAe0pd/txu3yEGTQY9Rq0mosbMqRRq7ihfzv0W3PI3leIyxNgRJ82SJJEabkbvVZNuEkbGt/sJbBWeCixOc/aoqOSJCRJQpKqWotUKtCo1WjUEmq1hEalQqNRoVZV7aeSJJxuH5IkWj8E4VJWp8BCURSMRiMA0dHRFBYW0qFDBxITEzlx4kSjFlAITYoC4UYNUqyZ/AsILlQqifbJEQ0+3VSlqhrLYdCp2fJzER5fgNFXtQWg0OpEp7Wgv8gApiUoKXdjLXOdNQBQFAgoCrUztJ05h8yp4KPC7cegkUInABMEod7qFFh07NiR/fv3k5qaSo8ePZg/fz5qtZoPP/yQtLS0xi6jEKIUBSxGDVKcmfziSvz1DC4aS9UU1xSMOg0bduXh8QX4nwFVA0Xziytpk2BB01pHc0pQXOamtPzsQcWFUJSqLyABWaHA6kSSzFiMGhFcCMIlqE5fvSZNmhRcKOhPf/oTeXl53HnnnWzatIknn3yyUQsohDZFAbNBQ3KcGU0Ly9HRt2sCo65I5Ze8Cj769jBurx+3N0BhqbNVpitTgCKb65wtFQ0hEFAoKKnE4fbTiMuNCILQQtWpxeLqq68OPk5NTeXzzz+nrKyMiIiIRl2oSLg0KAqEGTSkxIeRW+RosmRnddHzslj0OjWrso+z7KvD3Dq4ap2UEq2auEhD7Z6CFupUUGGrcDfJ9fwBhbxiB8lxYYQZRMuFIFxK6vQV8b333qu1AmZkZKQIKoQGoyhg0mtIjgtD08LGMHROi+KWazpgs3tYsv4Q5ZUeSstdVDh8reIbuQIUljqbLKg4xR+QyStx4PSceVyGIAihqc6BxaBBg5gwYQKfffYZLperscslXIKCLRdx5oue4dHQ2ieFc9vQy3B5/CxZf4jiMheFpS3/pqmgkF/qoMzuaZbr+/0y+SWVYgVTQbiE1OnT+5tvvmH+/PkkJSXxwgsv0L9/fx555BG+++47ZFl8YAgNR1HAqFOTEt+0wYVaJWEJ0xFh0Z81q2lKbBi/G9YRRVFYuv4QJ4sqKbA6Wsyg09+SFYV8q5MKu7dZy+H1yeQW2UVwIQiXiDp9ckuSxFVXXcULL7zAxo0befnll/F6vTz00ENcc801jV1G4RJk0KppE29Gp23c4EKjUREdYSAtKZw2cWEkx5hISwon3KI7Y16T+Cgjtw/PQKdVs+zrwxzMKaOgBQ7mDAYVlc0bVJzi9cnkFVfia0HjZwRBaBz1/tTW6XT06tWLXr16kZycXCtbqSA0FL1WTUq8pVGCC71OTUKMiXaJ4SREmdBrVNVTJkGvUZESE0ZaooVwc+0AI8qi5/bhGUSE6fj42yPsOFhEcZmLlrLmd0BRyCtxYHe0jKDiFI83wMmiSnyilVMQQlqdk5BVVlbyxRdfsHLlSn788UfS0tIYM2YMY8eObczyCZc4vUZFSryFvOJKPN6LG88gSWDUa4gKN2A2alBJUnD9hd9SlKpWk+TYMFyeAKUVbhxOH3L1vhaTlt8N68h/Nhxh+cajeHwBhl+RRpRZ16wzIPyyQr7VgcPpO//OzcDjDZBX7CAlLgyNqmWNoxEEoWHUKbCYMmUKGzZswGw2c9111/Hwww/To0ePxi6bIABVwUVynPmCgwu1SiLMqCUqXI9RrwlOEa1TAHBqzEdcGC6PH2u5B4fLWzUWRK/htiGXsXzjUdb89wQen8zNgzpg1NU5Xm9Q/oBCXkklTre/Wa5fVy63n9xiB23izGcdz9IYJAlc3gB+v4zZpG01U4UFobWp0yegVqvljTfeYODAgajV6sYukyDUoteoSIkzk1uP4EKrUVUNyDTrMWirujou+GaiVGVDbROnweXVU1LuxunyodOqufmaDqzKPs5X207i8fq5Y1Qn9Jqm/X/il2VySxy4WnhQcYrL7Se3pKrlQt3Ic3ZVKgmXt6rVye7woigKEWY9sZHG1ruCqiC0YOcNLHw+HydOnCA1NVUEFUKz0mlUtIk3c7Lo3MGFXqcm0qLHYtKhVatQlDNn4rxQRp2GtHgzlW4/1nI3LrePsf3b8cWPOWzcU4DHLzPxhq5N1tTvC8jkFlfibuFTX3/L6fKRV+IgJdZMY9zfJUnC4w9gs3mocHhq5KMps3twefzER5swiwW8BKFBnTew0Gq1nDx5UiyGJbQIWrWKlPiqbpHT1Wf8RENQFAjTawhLMONw+bGWu7iubyrG6uRlXp/M5JszUTdycOH1y/VqxWlpHE4f+SUOkmJNwbTsF0uSwOeXsdm9lFe6zzod2OMNkFtUSVS4gZhwfYNdXxAudXX61Lvxxhv58MMPG7ssglAnuurgQq9To1ZJhJt1pCVaaJtowWLUIiE13TfQ6kW9UhMstEkI57p+bRnUK5ldh0t47d+78DXi2g2eVh5UnGJ3eskvdaJc5KAHSaoavFpc7uZYgR1rueu8a4zIsoK1zEVOUSVuX6BVrKQqCC1dncZYuFwuVq5cyebNm+nWrRsmk6nG6yIRmdDUtCoVqfFhmLSq4PiJ5mzOlqhKphZmsHDzoHTMRi2rs48z5Y3v6XVZLP26JXJZmwg0ahVqlYRGLSFJpwKg+hfc4wuQW1yJ1xcaUzftlV7ygaSYsHrP2pWkqsRnZU4vtnL3BQVzLrefnEI7MZFGosz6ljJzWBBapToFFkeOHKFr164A5OTk1HhNdJEIzcVo0ATXn2gpJMBi1HLzoHQ6pkbyzbaTbD9YzA8/FRJp1tG9Qww90mOIshjQaFToNCq0GjWo1Tg9AdQqCZVKQq2SqEr2KgG/jhGRJHB6AlWLTYXYSpYVlV5UkkRCtKnON3ZZUSh3+Cgtd+G7yCArEFAosjpxuvwkRBsv6lyCcCmrU2DxwQcfNHY5BCGkSECPDjF07xBNoc1N9p58dh0p4fvd+Xy/O5/UeDOZ7aPJSI1Er1XjU6CszIlKJaGSJCRV1TRZrUaNVqNCp1Gj0ahQUCi0OvE3QFDh8QWocHjxB2T8AYWAXP07IOOXFQKnbfMHZAJy9e+Agl+u/v2b7Sajlt4dY2kTZ76gMpXZPUiSRHyU8ZzBhQJUOL2UlrsbvCuo0unF4/Wj1Wsb9LyCcKmQlHqMbistLSUnJ4cuXbqg0+kas1wtktVaiSy3oK/HFyguzkJxsb25i3HRWks9JAl8AYUyu4fjBRXsPmJl79FSbHYPWrWKjqkRXNU9mWiT9ozLiDcERVEotXvIK3FU/VgdlJS7693ao1ZJqNUSGpUKjVpCrVahUVX/VkuUO7zYnT46pUYyqFcykWb9BZU3OsJAfJSxVi+RAlS6fFjLXY0+CyYq0oQcCBDXyqeltpb/J3URKnVpLfVQqSRiYur/JaFOLRaVlZU88cQTrFu3DkmSWLduHampqfztb38jLi6Ohx56qN4XFoRLhaKARiURF2kkPExHcpyZ/pmJ5BY72Hu0lJ+P2/jpmA2LSUvXttFkdogmJtxwUdf0eAPkWasCiLwSB/lWJ+7qb/Z6rZqkGBMd20QSG2FA85vgQF0dNPw6HkSFWl3VPXO+rk9TmJ51/z3Glp8LOZxbTp9OcVzVLRG9tn5T1UvL3UiSRFxE9fsggd3lp7Tc1WRrdShAud2D2+MnPsqE2SimpQpCXdQpsHjllVcoKiri008/5fbbbw9uHzJkCLNmzRKBhSDUgaIo6DQqkmNMRJr1mIxaUuLCGNo7hfwyNz/szWfL/kJ++LmQpBgTme2j6ZwWVbVa6HnOa61wk1viIK/ESV6JA2uFO/h6bISBjNRIkmPCSI41ERNuaLSxUTqtmoHdk+iZHsN3u/L54eci9vxSysAeSfToEFOvFpnScldwGvGp9UKa48bu8VYNlI2yGIiJENNSBeF86hRYfP3118yePZsuXbrU2J6enl5rMKcgCOd2KjV8arwZu8uPtcxJ9xgzqTEmKl0+fj5uY+9RK19uPcnX23NJT4kgs3007ZPCUaskXB4/+VYHeVZnsFvj1OwQg64qv0mXtlEkx5pIig5Dr2v6he0sJh3X92tL74w4vtlxknU/5rDjYDFDeqfQLjG8TudQFCixVQUXzd1SIMsK1nIXTo+P+CgTJr2m0dZIEYTWrk6BRUVFBVFRUbW2OxwOsRqnIFwoBSwGDeZEC4pajaPSjdmo5YrO8VzROZ4im5O9R0v56ZiNgzllmPQaDDo1pXYPUDV2Iy7CSNe20STHmEiODSPKom9RM7WSYkz8blhHDuaU8e3OPD785gjpyeEMzkqpc3dPS7p/u9x+Tp6almoR01IF4UzqFFh0796dr776irvvvrvG9mXLlpGVldUY5RKES4aERHx0GLIvQJndQ5m9arXI+CgTQ6NMDOqVwtH8Cn46VoovIJPZPpqk2DCSok3o6jl2oTlIkkSntCjSUyLYdqCY7H0FLFrzM706xjEgM/G8XT0tTUBWKCp14nD7SIgyode2rCnPgtDc6vQ/eurUqUyYMIHDhw8TCAR47733OHToEHv27OGf//xnY5dREC4Jpw/wtFYnzJJlBbVK4rKUCC5LiWjuIl4UjVpF364JZHaIZtOeAnYcKuanY6X075ZIVsdY1OrWlUbd4fRxwmMnLtpIZJhOBBeCUK1O/5N79+7NsmXL8Pl8pKWlkZ2dTXx8PMuWLaNbt26NXUZBuGScPsAzNcFCmEkbcstMhxm0jLwilbuv7UxitImvd+Sy8PP9HDpZ1urGLfgDMgUlDnJLHOddPlwQLhX1WsfiUifWsWhZQqUecI66VE+ztJY5W0X20shIE2VlzjrvrygKv+RX8M2OXEorPKQlmBmalUJ8lOn8Bzey+tZFp1URFx1GeAublnpJ/D9pZVpLPS50HYs6tVh06dIFq9Vaa7vNZqs1U0QQhAZUPcCzbaKFxNgwtNrW1V1wPpIkkZ4cwT3XdWH45W0osrl4b+0BPv/hBJUuX3MXr168Ppn8okoKSl0h8QVEEC5UncZYnK1Rw+v1otWKZW8FobFJSESZdYQbtTg8fsoqPbjdfgIhcgNTqyR6Z8TRtV0Um/cWsP1QCftP2OjbJYEOyeFEh+vRaVr+QFVZUbBVuHF5fCREmzDpta2ue0cQLtY5A4tFixYBVd8qli5dSlhYWPC1QCDA1q1b6dChQ+OWUBAEoGrapUolYTFqsZi0eHwyDqePcocHry/QoprfL5RBp2Fo7zb06hjLhp15bNyTz8Y9+QBEhOmICTcQE2E47bceg67lzSpxewKcLKwkqrqsITZMRhDO6Zz/I08lH1MUhY8//hiV6tdmWK1WS5s2bXj22Wcbt4SCINSmgF6jwhChJypcj8vjp9zhxeHyNUiCsuYWbTFw09UdKLW7KS5zYy13Y62o+n2iyF5joGSYUUNMuIHY04OOcAMmg6ZZ1/QIyAolNhdOt5+EaBMGMS1VuEScM7D4+uuvARg/fjyzZ88mIqJ1T3cThFCjKFWZVE16DWajFq9fxuH2VeW48AZafV9/tMVAtMUAqb9uk2WFCqeXktOCDWuFm71HS/GeFlQZdOqaLRzhBmIjDFhM2iYNOJwuHzkFdmKjjESadbUSqwlCqBFp0wUhRMiygkYlEWHSERmmw+2TsTu8VDi8eH0tf0ZJXalUEpFmPZFmfY21PRRFqc58WhVolFS4sZZ7OHSynN2eXwefx4QbyGwfTdd2UVhMTZOl2R+QKbQ6cLp9xEcZ0agadxCuJEnIioLbGyC/xIESkNFpRIuJ0DTq3Dm5Zs0asrOzsVqtyHLNptZ33nmnwQsmCMKFU051lURWJc5yugOUV3pwuv34A62/q+RMJEnCYtJhMelol1QzH4nT7cNa4aGozMX+4zY27Mrju915tEuw0K19NB3bRKLVNO7NXlGgotKL2+MnLsqExaRt0NYLlUrC55dx+wI4XD4qnT58/gARESYclW7ioxv+moJwJnUKLF5++WXef/99+vbtS3x8fIvKRSAIwtlVdZVIhBk01QM+AzjcfsrsbrxeGfkS+QprMmgxGbSkxpu5PCOOUrubfUdL2Xe0lFXZx9Fpc+icFkVm+2hSYsMa9TPO65PJK64k0mIgLtJIPRK+1iJJ4PPLuLwB7E4vLrcf3xnG2Pj8VdeMqu4OEhlahcZUp/8wCHcAACAASURBVMBixYoVvPrqq1x77bWNXR5BEBqJLCto1Soiw3REmnW4PFU3I69Pxh+omlVS9aNU/1Q9D8XgI9pi4OoeyQzsnsSJokr2HS3l5+M2dh+xEmnW0a19NP17pDTabA5FAVuFG6fbR2LMqWyp5z/uVDzg9sm4PH7sTi8eT6BOrVCKAqXlblweP4kxYWIwqdBo6hRYyLIsFsIShFBSnbrdpDcGv50rioKsVAUgsgIKCrL8a5ARkBUCAYWALJ/2WAkGJbJSldfkVJfCqfNKUtWPSqVCJUlVjyUJlapqH5VKqvotSagkTnte9brbF6Cswo3H2/DjRCRJom2ChbYJFoZf3oaDJ8vYe7SUTXsK2LSngNR4M5nto8lIjUTfCAnfPN4AOYWVRFdPnZXOEMqcPl7C6fZjd3rw+eQLXsPE5faTU1BBXLSJiCYaYyJcWuq0pPesWbPQaDQ89NBDTVGmFkss6d2yhEo9oHXV5ddWdCn4WFEUAjJERhqx2ZzVwUTV6xLU6Fr4/+zdeXxTVdoH8N/N1jbd2zRAS5FFWrEVWqBSKAyKCg7igijigI6gIOMwOsAroKUw7KDiwiIDDqA4WFEEXGAGHBUVKiBLwSKURZZCgTZtoHvW8/6REgndUkhCE37fD3ya3Jx77/M0TfLk3nPP+f0dR9SyrPb9WYVAWaW5evAps9u/aZeUG3H8fCl2H7oAfakBSrkM7WNDkdgmAq20wZBdz/mLOqj9FWgWGQh/pdx+iuPq/hLXknddQ5NLEhAS5AdteADkXnJqxJteJ/XxljyudUhvp45YlJSU4KuvvsL27dsRHx9fY7TNyZMnN3rHROSdriwMrvygk0mAn0oB+ZUfusJWPlzP6JOX+4lcHhisosoMfakB5ZUmtxX6IYEq3N0lFkltI5BfVIGcE0U4fOoifj2pR7BaiYTWEUhoE4HIEH+X7bOi+khCWLA/jGZLnf0lXEUI4FKpAQaDGdoINQL9OUoouYZThcWxY8dw2223AQB+++03h8fYkZOIPEbYxuwI9FegymiBvsyAsnKT2650kSQJMZpAxGgCcU/nljh29hJyThRj56EL2PHrBbSIVCOxTQQ63BLukhFAzRYB3cVKF0TuvCqjBWcLyhAZHoDwID+OEkrXjeNYEJHXEQLwU8rRIiIQhhALSsqNuFRqcOs3fIVchttaheO2VuEoqzTh15O2q0q+3n0G3+49i1tjQpHQJgJtWoQ4HrXxAharQEFRBSqrzGgW4f5xNsi3Nb1B9omInCSEgEouQ1SoP8KD/FBaacLFkipUuaGj55WCApS4s0MzpNymRYG+EjknivHrKT1y8y5C7afA7a1tl642henfG6O03AiD0YxmEYEIamLTv5P3qLOwGD16NN544w0EBQVh9OjR9W6kMQNkrV69GsuXL0dhYSHat2+PV199FV27dq2z/a5duzB37lwcPXoUWq0Wzz33HJ588kn740uXLsWWLVtw4sQJqFQqJCUlYdy4cYiLi7O3EUJg0aJFWLNmDUpKStCpUydMmTIF7du3dzpuImq6hLDNkBoWqEJooArllSYUlxpQWWVy64ejJEloFqFGswg17kqOwW/5JTh4ogh7j+qwO7cQ2rAAJFSP8hno7x0zQRtNVpwtvHylivdNoCZJ1d2CWRTdMHUe7woPD3e4Xd9/Z23atAmzZ8/G6NGjsWHDBiQnJ2PkyJHIz8+vtX1eXh5GjRqF5ORkbNiwAc8//zxmzpyJzZs329vs2rULf/rTn/Dxxx/jgw8+gFwux/Dhw3Hx4kV7m/feew8rVqxARkYG1q5di4iICAwfPhxlZWVOx05E3kGC7YhCq2ZBaNU8GMGBKo+cmpDLJLRvGYpHerXFXx9JxL1dWkImk/DdvrN4d0MOPvv+OHJP671i5FNr9QRqZwrLYLJY4U1d6UoqTLa4rU3/9+yrnLrc1FUef/xxxMfHY+bMmfZlffv2Rb9+/TB+/Pga7V9//XV8/fXX2LJli31Zeno6jh07hjVr1tS6j/LycnTt2hWLFy9Gnz59IIRAr169MHToUPzlL38BAFRVVaF79+6YOHEihgwZ4nT8vNy0afGVPADfyaUp5iFJtgGl9KVVjeroWddlmo2lu1R9quSkHmWVJvir5PZRPltEqt3eAf5681AqZIiKUCOkCQwHXtfflyQBJosVBRcrUVpmhBCASilDC00g1H5N72qXpvg6qc21Xm7qsR46RqMRBw8eRFpamsPytLQ07Nu3r9Z1srOza7Tv2bMncnJyYDKZal2nvLwcVqsVISG2uQLOnDmDwsJCh+34+/sjJSWlzv0Ske+4PG9Ki4hA3NIiGNpINfz95G4Zi6I2mtAA3JUUg9EPJeDxu9qhTYsQ5Jwowr+/PoLlmw5hx8HzKK0weiSWa2EyW3GusAwXiiub7CisJRUmnDpXipJSo/3Ul9FkxZkLZSguM9zY4G5CHuu8qdfrYbFYoNFoHJZHRkYiKyur1nV0Oh26d+/usEyj0cBsNkOv10Or1dZYZ9asWejQoQOSk5MBAIWFhfb1rt5vQUFBo3K4lsqtqYqKCr7RIbiEr+QB+E4u3pCHxSpQXmlEWaUJpeVGmMzWWvtihIW5tvNlREQgkjs0R5XBjF+O67A3txA/HDiHHw+cQ7uWoUiO16JdTKhtRFOzFWaLgNli/f2/2QqTRcBSfd9kscJiETBVP2ZrJxzay+USYrXBuKVFCJpHBl7zaSEB4FKVBc0j1QgJ9HPp76Uxrvz7qqgy40JxOSqMVgQG1T6miNEsUGkRaBEZCKUbRk+9Vt7wOrlWPnVVyJw5c7Bnzx5kZmZCLnf9HxBPhTQtvpIH4Du5eFseKgmICFTCYLSgvNKMkgoDjCYrrFbhslMhdWkfHYL20SHQlxpwsPrS1U+/OXrN25MkQCGTQS6XIJdLUMhkUMhlMFus2H9UB8B2WiM6MhAxUYFoGRWIFpGBjR6qXFdUhrAgf4QGqeCvknv0PfHKv6/SShMKiiucusRYf7ECuuJyNItQQyW/8ZfSesvrxK0jb7pCeHg45HI5dDqdw/KioiJERUXVuo5Go0FRUZHDMp1OB4VCUaPT6OzZs7Fp0yZ88MEHiI2NtS+/vG2dTofo6GiH/V59FIOIbi6Xj1L4KeXwV8kREeoHg9GCskozoLDNbeLuw//hwX7oeUcLpCU2R15hGYouVUEhl0Euk2w/q4sEudx2XyGXIJdV/5TLoKhuV9epnbAwNU6fvYgzhWU4qyvH2cJyZOWcB2ArRrRhAWgZFYSYKNtAYMENzB9isQgUXarExbIqBKlVCA/2g79K7rH+F2aLQMGlCntfCmeVV5hwxlSK5pGBHGXUzTxWWKhUKiQkJCArKwt//OMf7cuzsrLQt2/fWtdJSkrC//73P4dlWVlZSExMdBhWfObMmfjPf/6DVatWoV27dg7tW7ZsiaioKGRlZaFjx44AAIPBgN27d2PChAmuSo+IvNzVRUZYeCAClTKUVZhQVmGEwXRtc3U4S5IktNIGo5XW9YfIQwJVuD0wAre3jgBgm/wsv6jcVmwUlmP/cR32HLGdNg4NVFUXGUFoGRUITah/rR1MLRaBS6UGlJYbofZXIiLED2p/hVsLDN3FCpw6X3LNA6EZTVacLSiDpnqUUXIPpwuL3NxcrFmzBqdPn8bs2bOh1Wrxv//9D9HR0bj99tud2sbw4cMxYcIEdOzYEZ07d0ZmZiYKCgrsV2Zc/qB/7bXXAABDhgzB6tWrMWvWLAwZMgR79+7F+vXrMX/+fPs2p02bhs8//xyLFy9GSEiIvU+FWq1GYGAgJEnC008/jaVLl6Jt27Zo3bo1lixZArVajQEDBjibPhHdRISwjbTpr5QjIEyOyFB/VBltE4LZppp3b5Hhbn4qOdq0CEGbFrZO7harQIG+AmcKy3FWV45T50vx60m9ra1Sbjt1oglETFQQmkeo7TPYArZLU8sqjCivNCLAT4GIEH8E+itdeonq5aMUcrniukdXtVgFCoorYDRZERXmD5k3XUvrJZwqLLZt24a//OUv+MMf/oAdO3bAYLD1sj19+jTWrVuHd99916md9e/fH3q9HkuWLEFBQQHi4uKwbNkyxMTEAADOnTvn0D42NhbLli3DnDlzkJmZCa1Wi/T0dPTr18/e5qOPPgIAPPPMMw7rjhkzxj4b68iRI2EwGDB9+nRcunQJnTp1wooVKxAU5DudMYnIPWyToF2eZv73IqOs0nYkw9uLDMA2BkeLSFufixTYBhW8WGbE2cIynKk+ffJbfom9bdvoENzeOgLtokOgqO6zIIStM2VFVRn8/eQID/FHUIASCpl07b8fCSitMKFQbysEwsJcc5BdCEBfUgWDyYIWkWoom0C/C1/i1DgWjz/+OB555BEMHToUycnJ+OKLLxAbG4ucnByMHj0a27Zt80SsNxw7bzYtvpIH4Du5+EoeQMO52KZzt03iVVphRHmlqUkWGa7qhFppMOOsrhwnz5ci97Qe5VVmqJQyxLUMw+2tw2udTl6llCMsxA8hahWUclmj+jXU1pfCHR1qVUoZmkUGIsiD/S685XXi1s6bR48eRe/evWssDw0NxaVLlxq9UyIib+d4JCMA1tAAVJnMKK0woazCBJO56RUZ1yPAT4FbY0Jxa0wo+iTH4PSFUvx6So8jeReRc6IYgf4K3HZLOG6/JRzNI2wDfxlNFhQUVUB/qQohgX4IDVbBX9nAlSRXHaVwN6PJivzqfhcRwX4+9ZzdKE4VFqGhobhw4QJatmzpsPzXX39F8+bN3RIYEZG3EMJ2BCNApYDaT4GosABUGX23yJDJJLRuEYLWLUJwX9dY/JZ/Cb+e0iP7qA57cgsRHuyHDtVFRkSIP0xmq/1KkuBAFcKDbFeSXP07MVsECi9VoqTM4PTvSwgBfZkBF4orcUFfgcKLlYgKC0Dq7c2cnsqe/S5cy6nf+oABA/D666/j7bffhiRJMJvN2LVrF+bNm4dHH33U3TESEXmN349kKKD2UyIqzIoqowUlFUaUV5h9rshQKmSIbxWO+FbhqDKacSTvEn49WYysnPPIyjmP5hFqdLjFNt18sFqJiyUGlJQZERhQfSWJnwICzh2lsFgFCi/aCojLhUSBvhLG6g6dMpmEiGA/nDhXigPHi9A9oTmS22vs/UDqw34XruNUHwuTyYRJkyZh06ZNEEJAJrOdKxswYADmzp3rlsGomiL2sWhafCUPwHdy8ZU8ANfnIkkSrMKKSoMFpZVGlFWYYK5jxE9XcvdAX3UprTDi8OmL+PVkMS7oKwEAtzQLQodbIhAfGwY/ldx2lMff1sGztMJxXAqzxQrdpSpcKK7ABf3loxFV9rlelHIZosID0Cw8AM3C1WgWEQBNiD/kchkK9BXYmp2Pk+dLERakwh86RSM+NszpeVmUChmaRwYiKMA9/S685XVyrX0sGjUJ2enTp/Hrr7/CarXi9ttvR+vWrRu9Q2/GwqJp8ZU8AN/JxVfyANybiyRJsFitqLzc8bPCdN2XUdblRhUWVyoqqcKvJ/U4dKoYF8uMkMsktIsOQYfqK0usQqBQX2krIKoLCd2lSlx+u/VTyqEND8AtLUIQqlaiebga4cF+Dc73cuJcCbbuO4vCS1VoEanG3ckxaBnl3AelTCZBEx6ASDf0u/CW14lHCoubHQuLpsVX8gB8JxdfyQPwXC6SJMFstf5+dUmFCRarcNl7TVMoLC4TQuBcUQUOndLj0Ck9KgxmKOUymK6YcVbtp7AdhYhQ23+GBqogSdI15WK1Chw8WYwfD5xDWaUJ7VuGonenaESE1D63yJUkCQgN8oM2XA25THLZ0QtveZ24/KqQK6c2b8jkyZMbvWMiIrJ92MolCYF+CgT5K2EOs000ZjZbUGmwoMpohslkhcVihcXLv9hIkoRoTSCiNYG4OzkGpy6U4tjZS7ZiorqQCApQunQqeZlMwh1tIxHfKgy7Dxdi56ELOH72EDrdqkFaYnOo/ZV1risEcLHUgIoqMwL8FFAHKOCnlEMpl0GpsHUJ4FfzmuosLHJzc53agCv/AIiIbmaXiwy5QgIUMgRXf8harAKm6tlODSYLqgxmGExmmM0CFqv7+mlIku2DWSZJkCQJCrkERfUcKpbqD1WrVcBaHcPlOAQEqv9V//z9/uVv/TKZ5DD6p7upFHL0SGyOTu0isT3nPLKP6XDwRDFSb2+GLvFah9FEr2Y0WWA0WXCpzGCb7E0ug1Iph9pfgQCVAiqlDCqFDIDrjmp4szoLiw8//NCTcRAR0VVsH9YCEgCVQgaVAlD7ySEF+wEQtiMbFitMZisqDWZUGS0wmSywWkW9RzckyfalUCZJkGSonvBMDqVCgkIhh1Jhm9xMLrMVFHKZbcZUmeQ4iuaV3ysvf6BabdUDrNUJWIUEQNgLD4Hfv+WL6nbCKmA0W2E2W2AyC5gtFlisAsIKWIXrTgsBQGCAEn1TYtElPgrfZ+fjhwPnsO+YDr06tkBC64gGvywLAZjMtt95RaUJACCXS1DKZfD3V0Dtr4SfwnZEQyG/OY9qNHp81PLycgBAYGCgy4MhIqKGXf4QV8gkKGRy+CvlCFEr7Z1CbR98tqMbKj8FhNkPCoUEpVwOhUIGucx2xEAuk0EuSZDJbIWGqD7EUOsHoUCNmV5raycBgCRBfuVPOHdk+3LBI6qLCYtAdX8T22mgALUfZOJyfhZYqwsPYRW2n434AI8M8cejf2iL0wWl2LovH5t2nMbuw4W4KzkarZs37iiKxSJgsVhQZbTgYokBMslWiKlUcgT6K+GvUkCpkOxHNXyd04XF+++/j/fffx8XLlwAAGi1WgwfPhx//vOfeTqEiOgG+/3ohgSVQg6VAggKUECjCYZOV4Y6C4Yr1r3RroxDkiTYzghJAGynKaIiA6EQVgASJOnKoqP6thAwm62oNJpRVm6E2dJwTq20wXiqbxwOndLjhwPn8Ml3x9G2RQh6J0UjKizgmvKwCgGr2Xb6qrzCdlTj8mmkAH8FoJDBbBFQKWU+cUHA1ZwqLF577TV88sknePbZZ5GUlAQAyM7OxuLFi1FQUMDpx4mImqArTzn4iiuPqkiA7ajLld0j/ICwID8YQ/xRVFKF0jJjg51eJUnC7a0jEBcbhr1HCvHTwQt4/7+HcUfbSPS8owWCAuru4Okss8V2iqfKYIGQ5CgrrYI6QIHQQD8E+MkhlzVuLpWmzKnCYu3atZg5cybuv/9++7Lu3bujTZs2mDp1KgsLIiJqMoQQUMpliI4MRGWwP4pKKlFWbmrw6IBCLsOdHZrhjraRyDp4HvuO6nDopB63tQpDSKAKQQFK23+17afaT3HNR+zNFitKyowoKTNCqZQhWK1CsFqFAD85JNR+mslbOH0qJD4+vtZlVqv7J4khIiJqLKtVwE8hQ0xkICqDLSi6VIXyClONviJXC/BT4J7OLdG5fRR+PJCP4/klqDCYa7STSbbOoEFX/A++8n51AeKnlNdbgJhMVhRfqsLFEgNUKhlCg/wQ6K+En1LmlQWGU4XFww8/jNWrV9cYryIzMxMPP/ywWwIjIiJyBSEAf6UcMVGBqDSYobtUhYpKU4Mf2uHBfngorQ0AwGKxorzKjLJKU63/9aUGnL5QBoPJUmM7CrnkUHxEhqmhkksIVtsKkWC1CoEBSkAGVBksqDJUQC6T4O+vQFiQHwL8FI2edv5GcmqALLPZjC+++ALbtm2z97HYv38/CgoK8OCDD7o/SiIiouslbJPDtdIGoazSjKJLlag0mJ06KiCXyxASqEJIoKrediaztc7io6zShAv6ShzPL6l1CPfAAAWCA1S2gkOtqi46lAgL9oM2Qo2WUUEIDVTWuOy3qXF6gKyEhAQAwNmzZwEAGo0GGo0Gv/32mxvDIyIici0hgEB/BdT+wSirNKHoUiWqDDWPNFwLpUKG8GA/hAf71dkmNDQAFwpLUVphQmmF0faz0na7rKL+ox9qPwXCgv0QGeIHTWgAwoL9EBXqj47tIusdRdSTOEAWERHdlCTA3ieitNKEoouVMBhdU2DUu19Jgr9KAX+Vot5LWg0mC8oqryg+KkworbTdvqCvxPGzv/f9UMpl6HRrJHoktkBi2winpop3l0YPkEVERORLJAAhAUoEByhwqdwEfUmVRwqMhvgp5fBTyhEZ4g+53DagmUoph7+f3DbollwGq7DiQnEFdvx6AT/lnMfu3EIEq5W4s0Mz9EhsjtbNgz0+1lSdhcXo0aPxxhtvICgoCKNHj653I//85z9dHhgREZEnSZAQHqRCSIASFyuM0F+qctt09nXGINnG5lAoJPgpFfD3s018ppBLUCpk9llWf+9jIUPr5iFo3TwEj/Vuh0On9Nj+y3n8kJ2Pb/acQYtINXokNkfq7c0RGdrwjK6uUGdhER4eXuttIiIiXyVE9XThwX4IUatwscyAS6UGWK0C9s/yyxOrXbHOtZDJfp+HJcBfgQCVEsrqeUaUcgm1TWpW31gcCrkMd7SNxB1tI1FRZcKeIzps/+UcPvv+N6z7/jfE3xKOHgnN0SU+CgF+7jthIQlvuX6lCSgqKvOJ4VejooJRWFh6o8O4br6SB+A7ufhKHoDv5OIreQA3JhdJAkyWyxOhCQghVZcUVx41ELiyCLg8i+vvI5/+fl8ACA72Q1Wl0Tbhm8w2a+zldu5QeLEKOw+dx7YD51Cgr4RKIUPnuCj0SGyODq3DIZfV3h9DJpMQGRnU6P2xjwUREVEdhKier0Tmun4KUZoghwLJ3V/vo8L8MaB7azyQegtOnCtF1sHz2HHwPHb8egGhgSqkJjRDj8QWiNU2voioTZ2FxVNPPeV0h49Vq1a5JBgiIiJyD0mS0DY6BG2jQ/DE3bci50Qxtv9yDv/bfQabd+UhVhuE7gnNkZrQDGFBdV8u25A6C4u4uDj7bYvFgi+//BIajQadOnUCABw4cACFhYV46KGHrnnnRERE5HlKhQzJ7TVIbq9BWaURu3N12HYgH598dwxrtx7HlGe6onWLxk0ff1mdhUVGRob99uzZszFw4ECkp6c7HMWYNWuW1wwxSkRERDUFBahwV1I07kqKxgV9BQ6fvghthPqat+fUCBqff/45hg4dWuPUyJ/+9Cd88cUX17xzIiIiajqahavRu1M0/JXya96GU4WFEAJHjhypsby2ZURERHTzcuqqkEGDBmHy5Mk4deqUvY/F/v378a9//QuPPvqoWwMkIiIi7+FUYfHyyy8jIiICq1atwptvvgkAiIqKwsiRIzFixAi3BkhERETew6nCQiaTYeTIkRg5ciTKysoAAEFBrrnelYiIiHxHo6Y/++WXX/DDDz9AVj1KV0VFBcxms1sCIyIiIu/j1BELnU6HF154AQcOHIAkSdiyZQvUajXmzp0LlUqFyZMnuztOIiIi8gJOHbGYM2cOIiMjsXPnTvj7/z472v3334/t27e7LTgiIiLyLk4dsfjpp5/w/vvvIzQ01GF5bGwszp0755bAiIiIyPs4dcSiqqoKSqWyxnK9Xg8/v2sfT5yIiIh8i1OFRUpKCtavX++wzGKx4L333kNqaqpbAiMiIiLv4/Q4FsOGDcMvv/wCk8mEefPm4ejRoygrK0NmZqa7YyQiIiIv4VRhceutt+LLL79EZmYmVCoVDAYD7r//fgwdOhRardbdMRIREZGXaLCwMJlMeOuttzB06FC8+OKLnoiJiIiIvFSDfSyUSiUyMzM5PToRERE1yKnOmz179sSOHTvcHQsRERF5Oaf6WKSmpuKtt95Cbm4uEhISoFarHR7v27ev0ztcvXo1li9fjsLCQrRv3x6vvvoqunbtWmf7Xbt2Ye7cuTh69Ci0Wi2ee+45PPnkk/bHf/75ZyxfvhwHDx5EQUEB5syZU2PG1UmTJtW4qqVTp0745JNPnI6biIiIGuZUYTFjxgwAwIcffljjMUmScOjQIad2tmnTJsyePRtTp05Fly5d8NFHH2HkyJHYuHEjoqOja7TPy8vDqFGjMGjQILz++uvYs2cPpk2bhoiICPTr1w+Abb6SuLg4PPLII5g4cWKd++7Rowdee+01+/3axuUgIiKi6+NUYXH48GGX7GzlypUYOHAgBg8eDADIyMjAjz/+iMzMTIwfP75G+48//hharRYZGRkAgHbt2mH//v1YsWKFvbDo3bs3evfuDQB45ZVX6ty3SqVCVFSUS/IgIiKi2jVqdtPrYTQacfDgQaSlpTksT0tLw759+2pdJzs7u0b7nj17IicnByaTqVH737NnD7p3745+/fph8uTJKCoqalwCRERE1CCnCotXXnkFK1asqLF85cqVSE9Pd2pHer0eFosFGo3GYXlkZCQKCwtrXUen0yEyMtJhmUajgdlshl6vd2q/ANCrVy/MmzcP77//PiZOnIgDBw7gz3/+M4xGo9PbICIiooY5dSrkhx9+wFNPPVVjeWpqKpYvX+7yoFztgQcesN+Oj49HQkIC+vTpg61btzaq42lkZJA7wrshoqKCb3QILuEreQC+k4uv5AH4Ti6+kgfgO7n4Sh61caqwKCkpqXElCAAEBATg0qVLTu0oPDwccrkcOp3OYXlRUVGdfR80Gk2NUxY6nQ4KhQLh4eFO7bc2zZo1Q7NmzXDy5MlGrVdUVAar1fvH84iKCkZhYemNDuO6+UoegO/k4it5AL6Ti6/kAfhOLt6Sh0wmXdMXaqdOhbRu3Rrff/99jeVbt27FLbfc4tSOVCoVEhISkJWV5bA8KysLycnJta6TlJRUa/vExMTruqqjuLgYBQUFHI6ciIjIxZw6YjFixAhMnToVxcXF9tlMf/rpJ3zwwQeYMmWK0zsbPnw4JkyYgI4dO6Jz587IzMxEQUEBhgwZAgCYMGECANgvCx0yZAhWr16NWbNmYciQIdi7dy/Wr1+P+fPn27dZXl6O06dPAwCsVivy8/Nx6NAhhIaGIjo6GuXl5Vi0nfbCzQAAIABJREFUaBH69u2LqKgonD17Fm+++SYiIiJw7733Oh07ERERNcypwmLgwIEwGAxYsmQJli5dCsB2OmHSpEkYNGiQ0zvr378/9Ho9lixZgoKCAsTFxWHZsmWIiYkBAJw7d86hfWxsLJYtW4Y5c+YgMzMTWq0W6enp9ktNASAnJwdPP/20/f7ChQuxcOFCDBw4EHPnzoVcLseRI0ewYcMGlJaWIioqCt26dcPbb7+NoCDf6TNBRETUFEiikZOAFBcXAwAiIiLcElBTxj4WTYuv5AH4Ti6+kgfgO7n4Sh6A7+TiLXlcax8Lp45YXOlmLCiIiIjIOR4bIIuIiIh8HwsLIiIichkWFkREROQyLCyIiIjIZRrVebO8vBzvvvsuduzYAavVii5dumDMmDEICwtzV3xERETkRRp1xGLq1KkoKCjAiy++iL/+9a84ceKEfVArIiIionqPWHz66ad4/PHH7fezs7OxZcsWyGS2eqRdu3Z47LHH3BshEREReY16j1j8+OOPeOqpp+yTdXXq1Anp6en4/vvv8c0332D27Nno3LmzJ+IkIiIiL1DvEYsFCxbgf//7H0aOHIlBgwYhIyMDS5cuxTvvvOPQx4KIiIgIcKLz5r333ovU1FS88cYbePrppzF9+nRMnDjRE7ERERGRl3HqqpCgoCD84x//wN69e5GRkYFu3bph3LhxUKvV7o6PiIiIvEi9fSzy8/Px0ksv4cEHH8T48ePRsmVLrFu3DmFhYXjkkUfw3XffeSpOIiIi8gL1FhYTJ06ETCbDyy+/jMjISEyZMgVKpRJjxozBkiVLsHz5crz44oueipWIiIiauHpPheTk5ODzzz9Hq1at0KtXL9xzzz32x9q1a4d///vfWLNmjduDJCIiIu9Qb2GRkJCAd955BwMHDkRWVhbi4uJqtHniiSfcFhwRERF5l3pPhcybNw8mkwlz5szBhQsXMG3aNE/FRURERF6o3iMWMTExWLBggadiISIiIi93TbObFhcXw2QyuToWIiIi8nL1FhZr1qyB0WgEAAgh8M9//hMpKSlIS0tDSkoK5syZA6vV6pFAiYiIqOmrt7D4xz/+gdLSUgC2ImPp0qV4/vnnsWrVKowdOxafffYZPvroI48ESkRERE1fvX0shBD222vXrsVLL72EZ555BgCQkpICtVqNDz/8EMOGDXNrkEREROQdGuxjIUkSAODMmTNITU11eCw1NRV5eXnuiYyIiIi8ToNzhXz33XcIDg6Gn58fKioqHB6rqqqCTHZN/T+JiIjIBzVYWKSnp9tv79y5E507d7bfz87ORqtWrdwTGREREXmdeguLw4cP17uyRqPBuHHjXBoQEREReS+npk2vy9133+2qOIiIiMgHOFVY5OXlYc+ePSgoKIBMJkNsbCzS0tIQFBTk7viIiIjIi9RbWFRUVGDSpEnYsmULANsVIpGRkSguLoafnx/+7//+D0OHDvVIoERERNT01VtYzJ07F4WFhfjiiy/g5+eH+fPnIzY2FmPGjMHGjRsxc+ZMhISE4MEHH/RUvERERNSE1VtYbNmyBf/617/s06XPmDEDvXr1wpgxY/DYY4/BYDBg+fLlLCyIiIgIQAMDZFksFod+FGq1GmazGZWVlQCAtLQ0/Pbbb+6NkIiIiLxGvYXFHXfcgffff99+f+XKlYiIiEBERAQAoLy8HGq12q0BEhERkfeo91TI+PHjMWLECGzevBkKhQJ6vR7z5s2zP56dnY3evXu7PUgiIiLyDvUWFgkJCfjyyy+xdetWGI1GpKam4tZbb7U/PnToUF4VQkRERHYNjmOh1WoxePBgT8RCREREXo4ziBEREZHLsLAgIiIil2FhQURERC5TZ2GxYcMGGI1GT8ZCREREXq7OwuKVV15BWVkZAKBDhw4oKiryWFBERETkneosLCIiIrBv3z4AgBACkiR5LCgiIiLyTnVebjpkyBD89a9/hSRJkCQJaWlpdW7k0KFDbgmOiIiIvEudhcXf/vY33H///Th16hTGjBmDGTNmICQk5Lp3uHr1aixfvhyFhYVo3749Xn31VXTt2rXO9rt27cLcuXNx9OhRaLVaPPfcc3jyySftj//8889Yvnw5Dh48iIKCAsyZMwePPvqowzaEEFi0aBHWrFmDkpISdOrUCVOmTEH79u2vOx8iIiL6Xb0DZLVv3x7t27fHmDFjMGDAAAQEBFzXzjZt2oTZs2dj6tSp6NKlCz766COMHDkSGzduRHR0dI32eXl5GDVqFAYNGoTXX38de/bswbRp0xAREYF+/foBACoqKhAXF4dHHnkEEydOrHW/7733HlasWIG5c+eiTZs2WLx4MYYPH47//ve/DpOsERER0fVx6nLTMWPGICAgAHl5efjuu++wdetW5OXlNXpnK1euxMCBAzF48GC0a9cOGRkZiIqKQmZmZq3tP/74Y2i1WmRkZKBdu3YYPHgwHnnkEaxYscLepnfv3hg3bhzuv/9+yGQ10xFCYNWqVRg1ahT69euHuLg4zJs3D+Xl5fjqq68anQMRERHVrcEhvQGgrKwMr776KrZs2WL/8BZCoG/fvpg1a5ZT3/qNRiMOHjyIESNGOCxPS0uzdxK9WnZ2do2+HT179sSGDRtgMpmgVCob3O+ZM2dQWFjosB1/f3+kpKRg3759GDJkSIPbICIiIuc4VVjMmjULubm5WLVqFZKTkwEAe/fuxdSpUzF79mzMnj27wW3o9XpYLBZoNBqH5ZGRkcjKyqp1HZ1Oh+7duzss02g0MJvN0Ov10Gq1De63sLDQvt7V+y0oKGhwfcd1fOe0SVRU8I0OwSV8JQ/Ad3LxlTwA38nFV/IAfCcXX8mjNk4VFt9++y0WL17s0MmyW7dumDFjBsaMGeO24JqaoqIyWK3iRodx3aKiglFYWHqjw7huvpIH4Du5+EoegO/k4it5AL6Ti7fkIZNJ1/SF2qk+FlVVVQgLC6uxPDQ0FAaDwakdhYeHQy6XQ6fTOSwvKipCVFRUretoNJoaA3PpdDooFAqEh4c7td/L265tv1cfxSAiIqLr41Rh0blzZ7zzzjuorKy0L6uoqMDChQvtp0YaolKpkJCQUOO0R1ZWVp3bSEpKqrV9YmKiU/0rAKBly5aIiopy2I7BYMDu3budjp2IiIic49SpkFdeeQXPPvss/vCHPyA+Ph4AcOTIEfj7+2P58uVO72z48OGYMGECOnbsiM6dOyMzMxMFBQX2DpQTJkwAALz22msAbIN0rV69GrNmzcKQIUOwd+9erF+/HvPnz7dvs7y8HKdPnwYAWK1W5Ofn49ChQwgNDUV0dDQkScLTTz+NpUuXom3btmjdujWWLFkCtVqNAQMGOB07ERERNcypwiIuLg5btmzBl19+id9++w0A8PDDD+PBBx+Ev7+/0zvr378/9Ho9lixZgoKCAsTFxWHZsmWIiYkBAJw7d86hfWxsLJYtW4Y5c+YgMzMTWq0W6enp9jEsACAnJwdPP/20/f7ChQuxcOFCDBw4EHPnzgUAjBw5EgaDAdOnT8elS5fQqVMnrFixgmNYEBERuZgkhPD+3ogews6bTYuv5AH4Ti6+kgfgO7n4Sh6A7+TiLXm4tfMmERERkTNYWBAREZHLsLAgIiIil2FhQURERC7DwoKIiIhcxqnLTS9evIi33noLO3bsQFFREaxWq8Pje/fudUtwRERE5F2cKizS09Nx6NAhDB48GFqtFpIkuTsuIiIi8kJOFRY//fQTVq5ciU6dOrk7HiIiIvJiTvWxiIyMhFqtdncsRERE5OWcKizGjh2LBQsWoLy83N3xEBERkRer81TIgw8+6HD/zJkz6NGjB6Kjo6FQOK725Zdfuic6IiIi8ip1FhZXTvRFRERE5Iw6C4sxY8Z4Mg4iIiLyAU71sbjnnnug1+trLC8pKcE999zj8qCIiIjIOzlVWJw9e7bGoFgAYDQaceHCBZcHRURERN6p3nEstmzZYr+9detWBAcH2+9bLBb89NNPiImJcV90RERE5FXqLSxefPFFAIAkSUhPT3dcUaFATEwMJk2a5L7oiIiIyKvUW1gcPnwYANCnTx+sXbsWERERHgmKiIiIvJNTQ3p/++237o6DiIiIfECdhcWiRYuc3ggvTSUiIiKgnsJi8+bNDvfPnj2LqqoqaLVaAEBBQQH8/f0RExPDwoKIiIgA1FNYXDlM92effYYNGzZg3rx5iI6OBgDk5+fjlVdeqTH0NxEREd28nBrHYvHixUhPT7cXFQAQHR2NSZMmYfHixW4LjoiIiLyLU4VFUVERqqqqaiw3GAy1jshJRERENyenCosePXogIyMD2dnZsFgssFqtyM7OxpQpU9CjRw93x0hERERewqnLTWfNmoWJEydiyJAhkMvlAACr1YqePXti5syZbg2QiIiIvIdThUVERATee+89nDhxAr/99hsAoG3btmjTpo1bgyMiIiLv4lRhcVmbNm1YTBAREVGd6iwsZs6ciXHjxkGtVjd4umPy5MkuD4yIiIi8T52FRW5uLsxms/12XSRJcn1URERE5JXqLCw+/PDDWm8TERER1aXey0137NgBo9HoqViIiIjIy9XbefOZZ56Bn58fkpKS0K1bN6SmpqJTp072S06JiIiIrlRvYbFlyxbs2LEDO3fuRGZmJhYsWICAgAB06dIFqamp6NatGxITE9nPgoiIiAA0UFi0atUKrVq1wuDBgwEAx48fx86dO/Hzzz9j5cqVmD9/PoKDg7Fr1y6PBEtERERNW6PGsWjXrh3CwsIQFhaG4OBgbNy4ERUVFe6KjYiIiLxMg4WFXq/Hrl27sHPnTuzYsQN5eXlISEjAnXfeibfffhtdunTxRJxERETkBeotLB588EGcOnUKiYmJSElJQXp6Ojp37oyAgABPxUdERERepN7LTU+fPo2QkBC0bNkSsbGxaNWqFYsKIiIiqlO9Ryx2796N/fv3Y+fOnfjiiy8wffp0REZGIiUlBXfeeSe6deuG2NhYT8VKRERETVy9hYVSqUTXrl3RtWtX/PWvf4XRaMS+ffuwa9cubNiwAdOnT4dGo8G3337rqXiJiIioCav3VMjVJEmCTCaDJEmQJAlCCJw7d85dsREREZGXqfeIhdlsxoEDB7Bz507s3LkT2dnZqKqqQnR0NLp164ZBgwYhNTW1UTtcvXo1li9fjsLCQrRv3x6vvvoqunbtWmf7Xbt2Ye7cuTh69Ci0Wi2ee+45PPnkk43a5lNPPVVjrI3+/fvjrbfealTsREREVL96C4uUlBRUVVUhKioK3bp1w+TJk5GamoqWLVte0842bdqE2bNnY+rUqejSpQs++ugjjBw5Ehs3bkR0dHSN9nl5eRg1ahQGDRqE119/HXv27MG0adMQERGBfv36NWqbjz76KMaNG2e/7+/vf005EBERUd3qLSwmTZqEbt26oXXr1i7Z2cqVKzFw4ED7SJ4ZGRn48ccfkZmZifHjx9do//HHH0Or1SIjIwOAbYCu/fv3Y8WKFfbCwtltBgQEICoqyiV5EBERUe3q7WPxxBNPuKyoMBqNOHjwINLS0hyWp6WlYd++fbWuk52dXaN9z549kZOTA5PJ1Khtbty4Ed26dcMDDzyAefPmoayszAVZERER0ZUaNaT39dDr9bBYLNBoNA7LIyMjkZWVVes6Op0O3bt3d1im0WhgNpuh1+shhHBqmwMGDEB0dDS0Wi2OHTuG+fPnIzc3FytWrHBRdkRERAR4sLC4kZ544gn77fj4eMTGxuLxxx/HwYMHkZCQ4PR2IiOD3BHeDREVFXyjQ3AJX8kD8J1cfCUPwHdy8ZU8AN/JxVfyqI3HCovw8HDI5XLodDqH5UVFRXX2fdBoNCgqKnJYptPpoFAoEB4eDiFEo7cJAImJiZDL5Th16lSjCouiojJYrcLp9k1VVFQwCgtLb3QY181X8gB8JxdfyQPwnVx8JQ/Ad3LxljxkMumavlA3ahyL66FSqZCQkFDjtEdWVhaSk5NrXScpKanW9omJiVAqlde0TQA4cuQILBYLO3MSERG5mMcKCwAYPnw41q9fj08//RTHjx/HzJkzUVBQgCFDhgAAJkyYgAkTJtjbDxkyBBcuXMCsWbNw/PhxfPrpp1i/fj1GjBjh9DZPnz6NRYsW4ZdffsGZM2fw/fffY+zYsbj99tvRuXNnT6ZPRETk8zzax6J///7Q6/VYsmQJCgoKEBcXh2XLliEmJgYAaoziGRsbi2XLlmHOnDnIzMyEVqtFenq6/VJTZ7apVCqxY8cOfPjhhygvL0eLFi3Qu3dvjBkzBnK53HPJExER3QQkIYT3dxrwEPaxaFp8JQ/Ad3LxlTwA38nFV/IAfCcXb8mjyfexICIiIt/HwoKIiIhchoUFERERuQwLCyIiInIZFhZERETkMiwsiIiIyGVYWBAREZHLsLAgIiIil2FhQURERC7DwoKIiIhchoUFERERuQwLCyIiInIZFhZERETkMiwsiIiIyGVYWBAREZHLsLAgIiIil2FhQURERC7DwoKIiIhchoUFERERuQwLCyIiInIZFhZERETkMiwsiIiIyGVYWBAREZHLsLAgIiIil2FhQURERC7DwoKIiIhchoUFERERuQwLCyIiInIZFhZERETkMiwsiIiIyGVYWBAREZHLsLAgIiIil2FhQURERC7DwoKIiIhchoUFERERuQwLCyIiInIZFhZERETkMiwsiIiIyGVYWBAREZHLsLAgIiIil2FhQURERC7DwoKIiIhchoUFERERuYzHC4vVq1ejT58+uOOOO/Doo49i9+7d9bbftWsXHn30Udxxxx245557kJmZ2ehtGo1GzJgxA926dUNSUhJGjx6N8+fPuzQvIiIi8nBhsWnTJsyePRujR4/Ghg0bkJycjJEjRyI/P7/W9nl5eRg1ahSSk5OxYcMGPP/885g5cyY2b97cqG3OmjULmzdvxptvvonVq1ejvLwczz//PCwWi9tzJiIiupl4tLBYuXIlBg4ciMGDB6Ndu3bIyMhAVFRUrUchAODjjz+GVqtFRkYG2rVrh8GDB+ORRx7BihUrnN5maWkpPvvsM0yYMAFpaWlISEjAa6+9htzcXGRlZXkkbyIiopuFwlM7MhqNOHjwIEaMGOGwPC0tDfv27at1nezsbKSlpTks69mzJzZs2ACTyQQhRIPbzMnJgclkQs+ePe2Pt2jRAu3atcO+ffvQq1cvp3OQySSn2zZ1vpKLr+QB+E4uvpIH4Du5+EoegO/k4g15XGuMHiss9Ho9LBYLNBqNw/LIyMg6jxzodDp0797dYZlGo4HZbIZer4cQosFt6nQ6yOVyhIeH12ij0+kalUN4eGCj2jdlkZFBNzoEl/CVPADfycVX8gB8JxdfyQPwnVx8JY/a8KoQIiIichmPFRbh4eGQy+U1jhIUFRUhKiqq1nU0Gg2Kiooclul0OigUCoSHhzu1TY1GA4vFAr1eX6PN1Uc6iIiI6Pp4rLBQqVRISEiocdojKysLycnJta6TlJRUa/vExEQolUqntnm57fbt2+2Pnz9/HsePH69zv0RERHRt5P/4xz/+4amdBQUFYeHChYiKioK/vz/effdd7N69G7Nnz0ZISAgmTJiAr7/+Gvfddx8AoFWrVnjvvfdQVFSEmJgYfPPNN/jnP/+JSZMm4dZbb3Vqm35+frhw4QJWr16N+Ph4lJaWYsqUKQgODsb//d//QSbj2SAiIiJX8VjnTQDo378/9Ho9lixZgoKCAsTFxWHZsmWIiYkBAJw7d86hfWxsLJYtW4Y5c+YgMzMTWq0W6enp6Nevn9PbBID09HQoFAqMHTsWVVVV6N69O1577TXI5XLPJE5ERHSTkIQQ4kYHQURERL6B5wGIiIjIZVhYEBERkcuwsCAiIiKXYWFBRERELsPCwgmNnerd05YuXYpBgwahc+fOSE1NxejRo3HkyBGHNpMmTUJ8fLzD/8GDBzu0udHTyy9cuLBGjFfOFSOEwMKFC9GzZ0907NgRTz31FI4ePeqwjUuXLuHll19Gly5d0KVLF7z88ssoKSnxWA6X9enTp0Yu8fHxGDVqFICGcwWcy9fVfv75Z4wePRq9evVCfHw81q1b1+iYnHkOcnNzMWzYMHTs2BG9evXCokWL4Op+5PXlYjKZ8Prrr+PBBx9EUlISevbsifHjx9eYafmpp56q8TyNHTu20fm6Kw/Ada/t/Px8jB49GklJSejWrRtmzpwJo9HosjycyaW210x8fDymTZvm8nyvhzPvud70WnE5QfXauHGjuP3228WaNWvEsWPHxPTp00VSUpI4e/bsjQ7NbsSIEWLt2rUiNzdXHD58WLzwwguiR48eQq/X29tMnDhRPPPMM6KgoMD+/8rHhRBiypQpIi0tTWzbtk3k5OSIYcOGiYceekiYzWaP5LFgwQLRr18/hxiLiorsjy9dulQkJSWJ//73vyI3N1e8+OKLIi0tTZSWltrbPPvss6J///5i7969Yu/evaJ///7i+eef90j8VyoqKnLI4+DBgyI+Pl6sW7fOqVyFcC5fV9u6dauYP3+++M9//iM6duwoPvvss0bH1NBzUFpaKnr06CFefPFFkZubK/7zn/+IpKQksXz5co/lUlJSIp555hmxceNGcfz4cbF//37x5JNPij/+8Y/CZDLZ2w0bNkxMmjTJ4XkqKSlx2I+7/+Yaek5c8do2m81iwIABYtiwYSInJ0ds27ZNpKWlienTp7ssD2dyuTKHgoIC8e2334q4uDixc+dOl+Z7vZx5z/Wm14qrsbBowGOPPSbS09Mdlt13333ijTfeuEERNaysrEzcdttt4ptvvrEvmzhxohg1alSd65SUlIiEhATx+eef25fl5+eL+Ph48cMPP7g13ssWLFggHnjggVofs1qtIi0tTbz77rv2ZZWVlSIpKUlkZmYKIYQ4duyYiIuLE7t377a3+fnnn0VcXJw4fvy4e4NvwLvvviu6dOkiKisrhRD15yqEc/m6W1JSksMbv6ueg9WrV4vk5GT770IIIRYvXix69uwprFarR3KpzdGjR0VcXJw4fPiwfdmwYcPEtGnT6lzH039zteXhitf21q1bRXx8vMjPz7e32bBhg0hMTHRbIevMc5Keni769u3rsKwpvpdd/Z7rza8VV+CpkHpcnur96kPU9U313hSUl5fDarUiJCTEYfmePXvQvXt39OvXD5MnT3aYh6Wh6eU9JS8vDz179kSfPn0wduxY5OXlAQDOnDmDwsJCh+fC398fKSkp9vj27dsHtVqNzp0729t06dIFarX6hj5fQgisXbsWDz30EPz9/e3L68oVcC5fT3PVc5CdnY2uXbs6/C569uyJgoICnDlzxkPZ1FRWVgYACA0NdVi+ceNGdOvWDQ888ADmzZtnbwc0nb+5631tZ2dno127dmjRooW9Ta9evWA0GpGTk+OxPK5UXl6OjRs31jjNATS997Kr33N9/bXSEI+OvOltrmWq96Zg1qxZ6NChg8NcKL169cJ9992Hli1b4uzZs3j77bfx5z//GevWrYNKpXLp9PLXqmPHjpgzZw7atm2L4uJiLFmyBEOGDMFXX32FwsJCAKj1uSgoKABgm6AuIiICkiTZH5ckCRERER7LoTbbt2/HmTNnHN4g68s1PDzcqXw9zVXPgU6nQ7NmzRy2cXmbOp0OsbGxbsuhLkajEXPnzsXdd9+N5s2b25cPGDAA0dHR0Gq1OHbsGObPn4/c3FysWLHCHu+N/ptzxWtbp9MhMjLS4fG6Jnn0lK+++gomkwkDBw50WN4U38uufs/15deKM1hY+Jg5c+Zgz549yMzMdBiy/IEHHrDfjo+PR0JCAvr06YOtW7eib9++NyLUGnr37u1wv1OnTrj33nuxYcMGdOrU6QZFdf0++eQT3HHHHbjtttvsy+rLdfjw4Z4O8aZmNpvx8ssvo7S0FEuWLHF47IknnrDfjo+PR2xsLB5//HEcPHgQCQkJng61Vt7w2r4Wn3zyCe655x5EREQ4LG9q+db1nnsz46mQelzLVO830uzZs7Fx40Z88MEHDVayzZo1Q7NmzXDy5EkATXN6+cDAQNx66604efKk/fdd23NxOT6NRoPi4mKHHtNCCBQXF9+wHIqKivDtt9/Wejj3SlfmCsCpfD3NVc+BRqNxOHR95TY9nZvZbMa4ceOQm5uL999/v8a33KslJiZCLpfj1KlTAJrm39y1vLZre07qOmLrCYcOHUJOTk6Drxvgxr6X1fWe64uvlcZgYVGPa5nq/UaZOXOm/Q+8Xbt2DbYvLi5GQUEBtFotgKY5vbzBYMCJEycQFRWFli1bIioqyuG5MBgM2L17tz2+5ORkVFRUOJxH3bdvHyoqKm5YDuvWrYNSqXT4llWbK3MF4FS+nuaq5yApKQm7d++GwWCwt8nKyoJWq0XLli09lI3tktOxY8ciNzcXq1atcurLwpEjR2CxWOxtm+Lf3LW8tpOSknD8+HGHSzK3b98OlUqFxMREzyYAYM2aNWjZsiV69OjRYNsb9V5W33uur71WGsuj06Z7o4amZW8Kpk2bhg0bNuCdd95BixYtUFFRgYqKCgC24qi8vBxvvfUWAgMDYbFYcOjQIUyePBkWiwUZGRlQqVRNYnr5efPmQaVSwWq14uTJk5g+fTpOnTqF6dOnIyQkBGazGcuWLUObNm1gsVgwd+5cFBYWYvr06VCpVIiIiMD+/fvx1VdfoUOHDjh//jymTp1qv4bc04QQePXVV3HXXXfh/vvvb1SukiQ1mK87lJeX4/jx49DpdPj0008RFxeH4OBgmEwmlz0HrVu3xpo1a3Do0CG0bdsWe/bswbx58/D88887dGRzZy4BAQF46aWXcODAASxcuBBBQUH2141cLodCocDp06fx4YcfIiAgACaTCfv27UNGRgZatGiBl156CTKZzCN/c/XlIZPJXPLajo2Nxddff41t27aZpCeUAAAJwklEQVQhPj4eR48exbRp0/DQQw/hvvvuc0keDeUSHBwMAKisrMSkSZMwbNgwpKSk1Fi/KbyXNfSe68zrtym9VlzuRl2O4k3+/e9/i7vvvlskJCSIgQMHil27dt3okBzExcXV+n/BggVCCNtlTiNGjBCpqakiISFB3HXXXWLixIkOl5YJIYTBYBDTp08Xd955p+jYsaN4/vnna7Rxp7///e8iLS1NJCQkiJ49e4oxY8aIo0eP2h+3Wq1iwYIFIi0tTSQmJoqhQ4eK3Nxch21cvHhRjB8/XiQnJ4vk5GQxfvx4cenSJY/lcKWffvpJxMXFif3799d4rKFchXAuX1fbsWNHrX9LEydOdDomZ56Dw4cPiz/96U8iMTFRpKWliYULF7r88rn6csnLy6vzdXP5Esj8/HwxdOhQceedd4qEhARx7733ihkzZtQYM8Hdf3P15eHK1/bZs2fFqFGjRMeOHcWdd94pZsyYIQwGg8vyaCiXy9auXSs6dOggzp8/X2P9pvJe1tB7rhDe9VpxNU6bTkRERC7DPhZERETkMiwsiIiIyGVYWBAREZHLsLAgIiIil2FhQURERC7DwoKIiIhchoUFEdn16dMHy5cvv9FheNTNmDORO3ESMqKbRHFxMRYsWIAffvgBBQUFCAkJQfv27TFq1CiH6Z2v18KFC7F582Z89dVXLtumO61duxYBAQEu295TTz2F9u3bY8qUKS7bJpE3YWFBdJP429/+hsrKSsyaNQutWrVCUVERfv75Z1y8ePFGh3ZDXT17JhFdH468SXQTKCkpQUpKClauXFnvxE59+vTBY489hvPnz+Orr75CUFAQnn76aTz33HP2Nvn5+Zg1a5Z9gqW0tDRMnjwZzZs3x7p16/DKK684bHPOnDl49NFH8fHHH2PlypXIz8+HWq1GYmIili5dCoWi9u83b7zxBr7++mucO3cOGo0G999/P1566SX4+fnZ2yxduhQffPABKisrcd9996FVq1ZYt24dvv32WwDAgQMH8Pbbb+PgwYMwmUyIj4/HhAkTHCaj6tOnD4YOHYpnn30WgG0q7unTp2P79u344YcfEBkZiRdffBEPP/ywfZ1Fixbhs88+Q2FhIUJDQ5GWlobXXnsNkyZNwvr16x3y+Oabb5r0hFFErsYjFkQ3AbVaDbVajW+//RZdunRx+HC+2gcffIC//e1vWL9+PX744QfMnDkTXbp0QXJyMqxWK1544QX4+/tj1apVAIAZM2bghRdewGeffYb+/fvj6NGj+O677/Dhhx8CAIKDg/HLL79g+vTpmDt3Lrp06YLS0lLs2LGj3pgDAgIwe/ZsNGvWDMePH8fUqVOhUqnw97//HQCwceNGLFq0CFOmTEHXrl2xZcsWLFu2DKGhofZtlJeX46GHHkJ6ejoAYPXq1Rg1ahS2bNlS7xTpixcvxvjx4zF+/HisXbsW6enpSElJQXR0NDZv3owVK1bgzTffRFxcHIqKirB//34AQHp6Ok6ePIk2bdpg3LhxAHhEhG5CN3aqEiLylP/+978iJSVFJCYmisGDB4u5c+eK7OxshzZ33323GDt2rMOy++67TyxevFgIIcS2bdvEbbfdJvLy8uyPnz59WsTHx4vt27cLIYRYsGCBeOCBBxy2sXnzZtG5c2dRWlp6zfF/9NFH4t5777XfHzx4sMjIyHBoM3z4cHH33XfXuQ2r1SrS0tLEhg0b7Mvuvvtu8a9//ct+Py7u/9u7v5Cm3jiO4++VQ3DDoouZhn9q9hsErQKD1AkjUQvrxgq6EIlCMJT+CmXghTEMqaAwrEiEvMmLyNhNkglBdSGUFSu6yCKmGJomBG3H6fR3ERxaqb+K/Yja53V3zvk+5/lzs++e5znn/DN37tw583h6enrO7XabZTo6OuZKS0vnIpHIvHVUVlbONTU1/VznRP4imrEQSRBlZWV4vV4eP37M06dPefjwIR0dHRw9epSamhozzuVyxZRzOBx8/PgRgDdv3uBwOGKm9jMzM3E4HAwODi64zFJQUEBGRgbFxcV4PB48Hg8lJSXY7fYF29vT08P169cJBoOEQiGi0Sizs7Pm9bdv37Jnz56YMm63m3fv3pnHExMTXLx4kf7+fsbHx5mdncUwDN6/f7/oWH09BklJSaxYscIcg23bttHZ2Wn2paioiOLi4v/tU/Yifxo9biqSQJKTkyksLKSuro6uri52797NpUuXiEQiZsy3ex4sFkvMD/pCLBbLgtfsdjvd3d1cuHCBjIwMrl69yvbt2xkdHZ03/tmzZxw7dgyPx8Ply5fp7u7myJEjTE9P/2BPvzhx4gSBQICGhga6urq4ffs2K1eu/M/7LDYG6enp9PT0cPr0aex2Oy0tLVRUVBAKhX6qbSJ/KyUWIgksNzeXmZmZmMRiMU6nk7GxMYaHh81zQ0NDjI2NkZubC4DVaiUajX5XNikpifz8fI4fP47f7yccDnP//v156xkYGCAtLY3a2lrcbjc5OTmMjIzExKxZs4ZAIBBz7tvjJ0+eUFlZidfrZe3atdhsNj58+PBDfV1McnIyXq+XU6dOcfPmTV6/fs3AwACwcP9FEoWWQkQSwOTkJIcPH2bXrl24XC5sNhsvXrygvb2d/Pz8RZckvlZQUIDL5aK+vt7cEOnz+Vi3bh1btmwBYNWqVYyMjPDy5UvS09Ox2+08evSIYDDI5s2bWbZsGf39/Xz+/Bmn0zlvPTk5OYyOjuL3+9m0aRMPHjz47r0YVVVVNDQ0sH79evLy8ujt7eX58+ekpqaaMatXr8bv97NhwwZCoRBnz57FarX+yhCabt26RTQaxe12k5KSwp07d7BarWRnZ5v9DwQCDA8Pk5KSwvLly1myRP/hJHEosRBJADabjY0bN9LZ2UkwGCQSiZCWlsaOHTs4ePDgD9/HYrHQ1taGz+ejqqoK+JJsNDY2mkshZWVl9Pb2sm/fPj59+sSZM2fIysri3r17tLW1EQ6HycrKwufzkZeXN289W7du5cCBAzQ3NzM1NUVhYSGHDh2iqanJjCkvL2doaIjz589jGAYlJSXs3buXvr4+M6a5uZnGxkYqKipwOBzU1dUxOTn5K0NoSk1N5dq1a7S0tDAzM4PT6aS1tZXMzEwA9u/fz8mTJykvL8cwDD1uKglH77EQkb9GbW0t0WiUK1eu/O6miCQszViIyB8pHA5z48YNioqKWLp0KXfv3qWvr4/W1tbf3TSRhKYZCxH5IxmGQU1NDa9evcIwDLKzs6murmbnzp2/u2kiCU2JhYiIiMSNtiqLiIhI3CixEBERkbhRYiEiIiJxo8RCRERE4kaJhYiIiMSNEgsRERGJm38BhfQZYllXv2IAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = plot_ci_width(nhl_df['width_95'].groupby(nhl_df['sa'].round(-2)), 0.95)\n",
"\n",
"ax.set_xlim(0, nhl_df['sa'].max());\n",
"ax.set_xlabel(\"Shots against\");\n",
"\n",
"ax.set_ylim(bottom=0.);\n",
"ax.yaxis.set_major_formatter(svpct_formatter);\n",
"\n",
"ax.set_title(\"Save percentage\");"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Ia+nfO59QqQeETl1CpR7QuutSUHCchIQ0JElqEd+OG0qo1KUl1UNRFAoLT5CY2LbWaxc6xkLkCmkhPN4AuUWVFNncyCLWEwThIlW1VAjCuTXG34kILFoQWVawlrvIKarE5Q2E3AeDJP7aBEEQQp74qG+BXG4/JwvtWCvcIdEzKkkSLm+Ak8WhkWtFEARBODsRWNRL090UA7JCUamTk8WVeP0yrbXxQpYVimwuThbasVd6sVZ4Wm1dBEFoGgcO7Oeaa67kwQfvbe6iCBdABBb18On3RykpdzXpNR1OHycK7JQ5vK3rhixBpdvP8UI71nIXgeqWCpvdjdPjb+bCCYLQkq1cuZybbvp//PLLEY4dO9ro1/P7xWdSQxKBRT2UlLlY9Pl+vtp+Eo830GTX9QdkCkoc5JY48Lfw+eiSBH5ZJt/qJLfIXut9OtWCoYREJ48gCA3N43Gzfv1axo69mcGDh7Fq1YrgaxMn3s2bb86qsb/DUcnQoQPYsOFrAHw+H2+//QY33TSaYcMGcN99d/LDD9nB/bdv38rAgX3Izt7IxIl3MnjwVfzwQza5uSf5y18eZuzYUQwfPpB7772DTZu+r3Gt0lIrjz8+laFDB3DLLWNYvfozxo+/jQUL5gb3qays5OWXpzNmzAhGjLiGyZPvZ//+nxrjrWqxRGBRD+NHdqJHegzbDhTz7qqf2POLlaaarasoUFHp5URhBXa3v0W2XihAmcPL8Xw75XbPWafNutz+6i6RFlgJQRCa1TfffEVCQhLp6ZcxatRo1q5dHWxRGDVqNF99ta7GqpXffvs1Op2Ofv0GAjBjxrPs3Lmdp59+gfff/zfXXXc9jz8+lUOHDta4zpw5bzJx4u9ZsuRjunbNxOl0ctVV/Zk16y3ee28pgwYNZdq0Rzl+/FjwmBdeeIaCggLeeGMOL730KuvWfU5BQUHwdUVRePTRP1JSUsTMmbNYtGgJPXtmMWXKg7XSWYSykEhC1lQMeg2jrkijZ3os67ed5PMfTrDrcAnDLk8lKcbUJGXw+mTyiypxWvTERRppCWtqSZKE2xegyObE6fLVaR0OW4Ubi1GLXqtu/AIKgsCmPfls3J1//h0b0MAeSQzonlSvY1atWsGoUaMByMq6HIPBwPfff8uQIcMZMWIkr7/+Ctu3b6VPnysBWLduLUOGDEen05Gbe5L167/go49WkpiYCMAtt/wvW7duYcWKT3jkkb8Er3Pvvfdz5ZVXBZ9HRUXRseOviSvvumsCmzZ9zzffrOfuu+/jxIljbNmSzTvvLCIzszsATzzxNLfeOjZ4zPbtWzl8+CCrVn2JXm8AYOLEB9m06Xu++GI1d9xxV73ei9ZKBBYXIDHaxB3DO7LvWCkbdubxwboD9EiP4ZqeyZj0jf+WyoqCrcKNy+0jIcaESa9tspaT31JQsFZ4KC131WvZ4EBAodDmIjXeTAuIjQRBaAFOnsxhz55dPPPMdKDqS8uIEdeyatVnDBkynIiISPr27ce6dZ/Tp8+VlJQUs2PHVu655z6gatCnoiiMH39rjfN6vV4uv/yKGts6d+5a47nL5WLRonls3ryRkpISAgE/Xq+X9PSOABw/fgyVSkXnzl2CxyQkJBIb+2sSzQMHfsbtdjNmzIha18/NPXmR707rIQKLCyRJEpntY+iYEsmmvflsP1jMwZwyBnZPotdlsaiaoCnB7Q2QU1hJdISBmHBDk96gJQmcHj9FNhcu94UNfHK6fJRVeoi26EUiNkFoZAO617/1oKmtXLmcQCDALbf8msfp1JemwsICUlKSGTlyNDNnvsCf//wX1q//gvj4BHr2zKreV0aSJN599300mpq3N71eX+O5wWCs8fytt17nhx+y+cMf/kibNmkYDAZeeOFp/H5fncsvyzLR0dG89db8Wq+FhTVsoq+WTAQW9XCmIQF6nZqhvdvQIz2Gr7adZP22k+w+YmXY5W1Ija//Uqj1JcsKJTYXTref2AgjWo0KnUYCpEZrxfDLCtZyN+WVnotel8Ja5sZk0KLXiOE+gnAp8/v9rF27igcemMyAAQNrvPb8839jzZqVTJz4AAMHXsPMmbB58/esW7eWESOuDY7X6tixE4qiUFpqpXfvPvW6/u7dO7n22usZPHgYUJUFOzf3JKmpaQC0bdsOWZY5cGA/3bplAlBUVEhJSXHwHJ06daa0tBRJkkhJaXPB70VrJz7N6yEuyoT2LDfA2Agjtw25jP8Z0A6X18/Srw6xavMx7M66R7sXw+nykVNYwfH8co7mVZBX4qCs0ovL68cXUJCkhlm61e7ykVNox1bhbpDFrvwBmWKbC9EfIgiXtuzsjZSVlTF27I106HBZjZ9hw0ayZs1KFEVBr9czaNBQFi9eyMGD+xk58rrgOdLS2jJy5HVMn/4M33yzntzck+zf/xP/+tcHwVkjZ5OamsZ3333DgQP7OXLkMM8//xRer+e0c7fjyiv78corM9i7dw+HDh1gxoxn0esNwc/WPn360r17T/761z+Tnb2JvLxc9u7dzYIFc9m1a0fjvHEtkGixqAeDVkWbBAt5xZVnnG4qSRKd0qLokBzBf38qYMvPRRzKLad/ZiJ9MuJQqxs3jlOUqgys/kAAtzdAeWXVYlRqlQqNRsKg02DUa9AZPfhlBa26bi0bkgRev0xxmQu7w9vg3RYOl5dyh5bIMJ3oEhGES9SqVSvo3bsPERGRtV4bMmQ477wzmy1b/svll/dl1KjRrFmzkoyMTrRv36HGvk888TSLFy/g7bffpLi4kPDwCLp06XreFoyHHnqYF198nj/84T4slnBuvfV3eL01k05Om/Y0L788nSlTHiAyMor77ptEXl4uOp0OqLoHvPLKP5g3bw4zZ07HZislOjqG7t17cO2111/kO9R6iOym9WC1ViLLCr6ATF6J47xjC2x2D1/vOMmR3AqiLXqGXd6G9knhTVTas4uKNGG3u2sGG1o1Wo2qVrBxagqp1ebCH2i8bHxajYq0JAtaVd2Dr9acffK3QqUuoVIPaN11KSg4HsxW2ZIyaV6sllaXsrIybrzxWp55ZnqwC6UuWlo9Tv97Od2FZjcVLRYXQKtWkRJnJt/qwHGOro4oi55brknnSF45X23L5aNvj9CxTQRDslKINOvPelxjU6jqgvAHwO0JUGb/TcuGvirY0KpVlJS7cboavzvHV90ikhx96QxwEgShddm27UecTgcdOlyGzWbj3Xffrp6p0r+5i9aiiMDiAmlUEimxYeSXOrFXes+5b3pyBG0TLGw9UET23kIW5v/MlV0SSIkNQ6WSUNf4UdXcppaqn6tQNdA4iTOp6kY5LdjAc/6DGpi90ovdqMNi1Db5tQVBEM7H7/fz7rtzyMvLxWAw0LVrd956612MRuP5D76EiMDiIqgkieSYMAoliTL7uW/EGrWKq7om0q1dNN/syGXz3oJz7n82apVUKxg5FXi0T7LQPzMRg651/rMqStWy6Ua9Bk1LWPlLEAThNH379qNv337NXYwWr3XegVoQCUiINqFWqSitcJ138KHFpGPsgPYM7OHG5QkQkGXkgEJA/vVHrvFYPutrpx/r9gXYeqCYfcdsXN0jiR4dYppkLY2G5vEGsJa7SYw2ioGcgiAIrZAILBqABMRFGlCpJUpszjrdEKMtBrA0bDkKS518tT2XdT/msPNQCUMvTyEtvoEv0gTK7R7MRi1hBvHnKQiC0NqIdSwaUGy4nviYsGZrKUiINvG7YZcxdkA73F4/y746zIqNRyl3nHsMSEsjKwpFNmeDrJMhCIIgNC3xlbABKQpEm/WoJYnCUke9cmc0FEmS6JwWRXpyBFv2F/LDT4UcySvnis4J9O0aj07TOpJ+ebwBrBUe4qMMoktEEAShFREtFg1MURQiwrQkx5nRNPKCWOei1agYkJnEfdd3pWObSLL3FbBg9c/8dKy02RKW1ZfN7sbpubA8JIIgCELzEIFFI1AUMBs0pMSb0Wmb9y0OD9NxQ/923D68Iya9hlXZx5m3fA8Fpc5mLVddyLJCkc2FQusIhARBEAQRWDQaRQGjTk1KvAW9rvm7H9rEmRk/shPXXplGSbmb9784wOc/nMDRBItfXQyX20+p3dto63cIgiCcSX5+HgMH9mH//p+auygXZcGCuYwff1uTXlOMsWhkeo2KNglm8orPvwR4Y1OpJHqkx3BlZhKfbz7KtoPFHDhho39mIpc3QS6TC1Va7sJs0KDXNn+AJgitmV+W8fqabilpnVaFph7L9DudDt599x2+++4bbDYbGRmd+OMf/0yXLt2C+0yf/gyff76qxnFdu2Yyb957wedvvvkaa9aswmg0MmnS5BqJyjZu/I4lSxbz9tvzz/mFJT4+gRUr1p4xd8nZrFmzklmzZvLll9/X+ZhQJAKLJqBVVS0BXmB1Uuls/hkaBr2GIVkp9EyP4ZsduXy7M49dR6wMyUohPTm8xbUOBAIKhTYXqfFmkQRVEC6C1ydzoqDp8p+kJVrQ6OseWLz00gscOXKIadOeIT4+gS++WMOf/vR7/vnPj4iLiw/u16fPlTz11HPB51rtr6v1btz4HV9++QWzZs0mJ+cEL774PFde2Y/IyEicTgdvvvkaL7302nk/59RqNTExsfWobcPy+/1oNK3zFt0yv6KGII1KIjnWRLhZ19xFCYoON3DLoHT+36B0JAk++e4XPv72CNZyd3MXrRany0dZdbZWQRBCj8fjZsOGr5k0aTK9e/ehTZtUJkx4gJSUVD799OMa++p0OmJiYoM/4eERwdeOHz9KVlZvOnfuyogR1xIWFkZ+fi4Ac+e+xciR19XKiHomv+0K2b59KwMH9mHr1i1MnHgXw4YNYMKE8Rw4sD/4+owZz+JyuRg4sA8DB/ZhwYK5APh8Pt5++w1uumk0w4YN4J57/o8ffsgOXuvUubOzNzJx4p0MHnwVn376MQMH9uHIkcM1yrVixSdcf/0w/H4/gUCAF198jltvHcvQoQMYN+4mlixZjCw3b4Kz1hkOtVKnlgBXq1TYKlrOzbtDcjhtE7uw42Axm/YWsOjzn8nKiKNf1wRMhpaTt8Na5ibMoEWnEfGwIISaQCBAIBBAp6uZoFGv17N7984a23bv3smYMSMwmy1kZfXm/vt/T1RUNACXXZbBZ599SkVFBXl5uXg8HlJSUtm7dw/bt29l4cIlF1XOuXNn8+CDU4iJieUf/3iF5557kn/+8yO6d+/JlCl/Zt68t/j3v5cDYDSaAJgx41lyc0/y9NMvEBcXz5Ytm3n88am8++77dOyYETz3nDlvMnnyVFJS2mAyhbFu3RrWrfucBx98KLjPl1+uZciQEWg0Gvx+P3Fx8Tz33ItERkbx00/7+PvfpxMREcGYMTdeVD0vhggsmkFCtBGVSqK0/PxLgDcVtUqiT+d4uraL4vvd+Ww7UMy2A8VEmvUkRhtJigkjMdpEfJSx2cY6+AMyxTYXKfFhiIkighBaTKYwMjN7sHjxAjp0SCc6Oob1679g3749pKS0Ce7Xt28/Bg0aQlJSCvn5ebz77hymTJnEggX/RKfT0bdvP0aOvI6JE+9Er9czbdozmEwm/v736TzyyBOsXv0ZH320FL3ewNSpj9K9e896lfO++x6kd+8+ANx99338/vf3UVxcRHx8AmazGUmSanSh5OaeZP36L/joo5UkJiYCcOut49iy5QdWrPiERx75S3Dfe++9nyuvvCr4fOTI0Sxb9k8mTZqMJEkUFBSwa9cOHnjgDwBoNBruu29ScP+kpGQOHtzPl1+uE4HFJUepWgLcbNTiD8h4fQG8PhmPz48sgyzLVb+bIeowGbSMujKN3hlxHMktp6DUSW6Jg/0nyoL7xIQbSIw2kRhjIinaRFykEW0TtSJUuryUO7REhrWcLiVBEBrGU089x4svPsdNN41GrVaTkdGJ4cNHceDAz8F9hg8fFXycnn4ZnTt34ZZbxpCdvZFBg4YCMGHCA0yY8EBwv8WLF5CZ2QOz2cyCBXNZtOhf/PLLYf72t7/y4YcraozROJ/09I7Bx7GxcQDYbDbi4xPOuP+BA/tRFIXx42+tsd3r9XL55VfU2Na5c9caz4cPH8ns2bPYtWsHvXr1Zv36tSQlJdcIhpYv/5iVK1dQWJj1cqmNAAAgAElEQVSPx+PB7/eTkJBU5/o0BhFYNJfq6aigRjJpAQlJAn/g1wRjgYCCzy/j9VcFHj5/APm0RGSNKS7SSFzkr6mAHS4fBTYnBVYnBaVOjhVUsO9YKQCSBHERRhJjTFUBR7SJuAhDo8wyURQosbkwiTwighByUlLaMHv2PFwuFw6Hg9jYWP72t7+SnJxy1mNiY+OIj08gJ+fEGV8/ceI4q1Z9xqJFS/j881X07JlFbGwssbGx+HxeTpw4Tnr6ZXUu4+kDKk8NAFWUs49pUBQZSZJ49933g8eq1RKBgIJeX7Pbx2ComX49KiqaK67oy7p1n9OrV2++/HJtjRkuX321jjfeeI0//OGPZGb2JCwsjE8++ZDvvvu2zvVpDOLTuQWoaphQUBRQSaBSS2jVaqgOoiWp6g9YURT8AQV/dYvGb1s7TgUijSHMqCXdGEF6ckR1mRUqXT4KSp3kVwcbB3PK2H3EClR1rcRFGkk6LdiICTc0SB4Vn1+muMxFYlz4RZ9LEISWx2g0YjQaqaioYMuWbB58cMpZ9y0rK6O4uOiMMzgURWHmzOlMnvxHzGYziiITCPiDr/n9fmQ50GDl1mi0BAI1P4M7duyEoiiUllqDXSgajQp/HT+rR44czaxZMxk79maOHDnM88+/HHxt9+6ddO2ayS23/G9wW27uyQaoycURgUUroCgEl+FWqyTUqlNjHGq2dnh9MiUVLsrtnkYfuyFJEhaTDotJR8c2kdXlVCh3eGsEG/uOlrLjUAkAEWE6bhtyGVEW/blOXSf2Si+lFW4kiRYzTkUQhIvzww/ZyLJM27btyM3N4a233iAtrR3XXz8WAKfTybx57zB48FBiYmLJz89j7ty3iIqKZtCgIbXOt2rVCiyW8GAXSY8evZg/fy67du3k8OGDaDQa0tLaNlj5k5KS8Ho9/Pjjf+nYsTMGg4G0tLaMHHkd06c/w+TJfyIjozNOZyU//vgjKSkpwbKdzTXXDObvf5/BSy89T5cuXWuUNzU1jTVrVpGdvYk2bVL56qt17Ny5HYuleb90icCilTu9tUOjlkiMNhFm1FFic+LxNlwkXheSJBFp1hNp1tM5Laq6fAqldg95JQ6+2ZHLv78+xO+GZxBxkWMkFAWKSp3o1RIWk1asbyEIIaCyspK5c2dTXFxEeHhVQHD//X8IdiGoVCp++eUwa9euprLSTkxMLL179+G5517EZAqrca7SUiuLFy9gzpwFwW2dO3dl/Pi7mTbtEYzGMJ588jn0ekODlb97957ceOMtPPPMNMrLy7nnnolMmPAATzzxNIsXL+Dtt9+kuLiQ8PAIunTpGmzBOBeDwcA11wzmiy/W8Mc/PlLjtf/5n1s4dOggzz77JKAwaNBQxo37P1av/qzB6nQhJKW1ZKRqAazWylaTytsvK1jL3ZTbPbUGgUZGmigra/pcIQWlTv799WGMejW/G9YRi+nigovISBPl5U5MRi1xkUaMOk2rSbD2W3FxFoqLm27hosYSKvWA1l2XgoLjJCZWfbM9vdm9pa+8eT716UJoyVpaPU7/ezmdSiURE2Ou9/lEi0WI0qgkEqKNhBm1FDdD68WZJEabuHVwOv/+5jD//vow44Z1xGy8uHUyFAUcTh9ut59Ii4HoiKq09YIg1KZRqeq1EqYgXAjxFxbKqrOspiVaiAo3oGoBN9zk2DBuHZyO3enjw28ON1ha9ICsYC13caLAjt3lQ/SNCIIgNA8RWFwC1JJEYrSRlHhzi8m0evM1HSir9PDh14dxNVBwAeDxBsgrruRkkQOPX25xeU8EQRBCnQgsLhGKAmHVrRcRZl2DTPu8GG0TLdw4sAPWCjcffXukQbtqFAUqnV5OFFRQXO5qNeNiBEEQQoEILC4xakkiNcHSIlovOiSH8z8D21Nkc/LxhiN4fQ07DiQQUCixuTheWN09IgiCIDQ6EVhcgiRJIkyvoW1iONERDbNo1YW6LCWCGwa0J8/q4D/f/dIoC3yd6h7JLRHdI8KlQjrnapCCcErV30nDfiaKwOISppIgIcpIm3gzhmZsveiUGsn1V7Ulp6iST7//BX+g4T8QFQXsDi85BRWUVLibJQ+LIDQVnc5AWVkJfr+v1U7BFhpX1cqjPsrKStDpGm4tDxDTTS95igImfdXYC2u5B5vd3SxjErq2iyYgK3z+wwmWbzzKTQPbN0quEX9AobjUib3SQ2yUCbNRIzKlCiEnKiqOyspySksLAQVZDo3WC5VKFRJ1aSn1UKnUGI1mzOaIBj1vkwcWS5YsYcGCBRQXF9OxY0eeeOIJ+vQ5++pjW7Zs4aWXXuLQoUPEx8dz33338bvf/S74+ty5c1m3bh1Hjx5Fp9PRq1cvHn74YTIyfs1x/5e//IVPP/20xnl79uzJhx9+2PAVbKVUkkR8lAGzSUNhqRO3p+nXvejeIYaArLDuxxw+23yMsQPao26kbhq3N0BukR1LmI64SCM6jUosDS6EDEmSsFgisVgiW/VCX78VKnUJlXqcTZN2haxZs4YZM2YwadIkli9fTlZWFhMnTiQvL++M++fk5HD//feTlZXF8uXLeeCBB3jhhRf44osvgvts2bKF22+/nWXLlrF48WLUajX33HMPZWVlNc7Vv39/Nm7cGPyZN29eo9a1NVIUMOo0pCVYiIk0NsvYi16XxTKsdwqHTpazOvtYo7aeKApUVHo5nm/HavegiKYLQRCEi9akLRaLFi3ipptu4rbbbgPgqaee4vvvv2fp0qX8+c9/rrX/smXLiI+P56mnngIgPT2dXbt2sXDhQkaNGgXAggULahwzc+ZM+vTpw/bt2xk69NfkLjqdjri4uMaqWkhRSRLxkQYsJi0Olx+Hy4vXJzfK2IczubxTPH5ZYcPOPNSqE4y+Kq1RB1z6AzJFVicVlR5S4sxoG6ELRhAE4VLRZJ+gXq+Xffv2MWDAgBrbBwwYwI4dO854zM6dO2vtP3DgQPbu3YvPd+bpgw6HA1mWCQ+vmd1t27Zt9OvXj1GjRvHkk09itVovojahT1HAoFUTG6GnbaKFtkkWUhMsREcYMOjVjdZFcUrfLgkM7J7EvmOlfPFjTpMMQHN7AuRbnWJgpyAIwkU4a4vFunXr6nySkSNHnncfm81GIBAgNja2xvaYmBg2b958xmNKSkro169fjW2xsbH4/X5sNhvx8fG1jpk+fTpdunQhKysruO3qq69mxIgRtGnThtzcXF5//XXuuusuPvnkE3S6uifCupBkLC1VXJzlgo8NBGRcHj9uj59Ktw+XO0BAlht8jMLogR3QaNV8u/0kJqOWGwZ2qNVyERlpatiLAq4ApCaYGz14+q2L+TdpSUKlHhA6dQmVekDo1CVU6nEmZw0spkyZUqcTSJLEzz//3GAFuhgvvvgi27ZtY+nSpajVv06fvP7664OPO3XqRLdu3Rg6dCjffvttnYKiU1pTdtNzaciBQ2atGpNahdcfwOUNUOny4fH48QcaJtC4IiMWh9PLf/cW4PcFGJKVEgwuGitLa3m5E4/bS4zF0GRT9UJlMFeo1ANCpy6hUg8Inbq0lno0eHbT/fv3X1SBfisqKgq1Wk1JSUmN7Var9axjH2JjY2t1WZSUlKDRaIiKiqqxfcaMGaxZs4bFixeTmpp6zrIkJCSQkJDAsWPH6l8RoQZFUZAk0GvV6LVqoi16fH65KtBwB6h0+/B6Axc8PkOSJAb3SiYQkNl6oBiNWsXVPZIadcyFokCJzYVOo8ZsEDOyBUEQ6qPJxljodDq6detWq9tj8+bNNbotTterV68z7p+ZmYlW+2u67RdeeIHVq1ezePFi0tPTz1uW0tJSioqKztiVIlwcWVZQqySMOg0xEXraJphpmxQeHJ9xITNNJEli2OVt6JEew39/KiR7X2EjlLwmWVYotFat1CkIgiDUXZ2/jvn9fnbv3k1+fn6tgZM33nhjnc5xzz338Nhjj9GjRw969+7N0qVLKSoqYty4cQA89thjQNXMDoBx48axZMkSpk+fzrhx49i+fTuffvopr776avCczz77LCtWrOCtt94iPDyc4uJiAEwmE2FhYTgcDmbPns3IkSOJi4sjNzeX1157jejoaIYPH17X6gsX4FQvglYtoVVrsJi0GHQaCq0OAvXsUpIkiVFXpCLLChv35KNWSYzq374OZVBweQM43T6cbj9Ojx+H21/judNdtc0fkLm6RxLdO8QA4PPLFFgdpMZbaOacbYIgCK1GnQKLI0eO8OCDD3Ly5EkURUGtVuP3+9FoNOh0ujoHFqNHj8ZmszFnzhyKiorIyMhg3rx5pKSkAJCfn19j/9TUVObNm8eLL77I0qVLiY+PZ9q0acGppgD/+te/ALj77rtrHDt58mQeeugh1Go1Bw8eZPny5djtduLi4ujbty+vv/46ZnPoDMZsDWRZISJMBxIUllxYcHHtlWn4AzIbduWh02uwGDTVgcHpgcJpjz3+M471kKSqNTtMhqqfxGgjFQ4vn/9wArc3wBWdq1qzXG4/BTYHSdFhDbyafstweo+SmAwjCEJDkJQ6jE6bMGEC4eHhTJ8+nQEDBrBixQrsdjvPPPMMf/rTn2pNCQ1VYvBmw5AkqHD6KLiA4AIgICus3HSUgyfLa2zXaVWY9FrCqoMFk/5U4KANPg6r3m7QaWp1y/gDMquzj3Mgp4x+3aqmu54ayxEbZSQuwtBoN99m+TeRwFbpxev1o1ar0KhUqDUSakmFSlX176SqfqxWSaiq34uq90A543vR3H9bDSlU6hIq9YDQqUtrqUeDD9483d69e/nggw8wmUyoVCr8fj/dunXj0Ucf5fnnn2flypX1vrBw6VIUCDdpIc5MQUklgUD97tZqlcTYAe0pd/txu3yEGTQY9Rq0mosbMqRRq7ihfzv0W3PI3leIyxNgRJ82SJJEabkbvVZNuEkbGt/sJbBWeCixOc/aoqOSJCRJQpKqWotUKtCo1WjUEmq1hEalQqNRoVZV7aeSJJxuH5IkWj8E4VJWp8BCURSMRiMA0dHRFBYW0qFDBxITEzlx4kSjFlAITYoC4UYNUqyZ/AsILlQqifbJEQ0+3VSlqhrLYdCp2fJzER5fgNFXtQWg0OpEp7Wgv8gApiUoKXdjLXOdNQBQFAgoCrUztJ05h8yp4KPC7cegkUInABMEod7qFFh07NiR/fv3k5qaSo8ePZg/fz5qtZoPP/yQtLS0xi6jEKIUBSxGDVKcmfziSvz1DC4aS9UU1xSMOg0bduXh8QX4nwFVA0Xziytpk2BB01pHc0pQXOamtPzsQcWFUJSqLyABWaHA6kSSzFiMGhFcCMIlqE5fvSZNmhRcKOhPf/oTeXl53HnnnWzatIknn3yyUQsohDZFAbNBQ3KcGU0Ly9HRt2sCo65I5Ze8Cj769jBurx+3N0BhqbNVpitTgCKb65wtFQ0hEFAoKKnE4fbTiMuNCILQQtWpxeLqq68OPk5NTeXzzz+nrKyMiIiIRl2oSLg0KAqEGTSkxIeRW+RosmRnddHzslj0OjWrso+z7KvD3Dq4ap2UEq2auEhD7Z6CFupUUGGrcDfJ9fwBhbxiB8lxYYQZRMuFIFxK6vQV8b333qu1AmZkZKQIKoQGoyhg0mtIjgtD08LGMHROi+KWazpgs3tYsv4Q5ZUeSstdVDh8reIbuQIUljqbLKg4xR+QyStx4PSceVyGIAihqc6BxaBBg5gwYQKfffYZLperscslXIKCLRdx5oue4dHQ2ieFc9vQy3B5/CxZf4jiMheFpS3/pqmgkF/qoMzuaZbr+/0y+SWVYgVTQbiE1OnT+5tvvmH+/PkkJSXxwgsv0L9/fx555BG+++47ZFl8YAgNR1HAqFOTEt+0wYVaJWEJ0xFh0Z81q2lKbBi/G9YRRVFYuv4QJ4sqKbA6Wsyg09+SFYV8q5MKu7dZy+H1yeQW2UVwIQiXiDp9ckuSxFVXXcULL7zAxo0befnll/F6vTz00ENcc801jV1G4RJk0KppE29Gp23c4EKjUREdYSAtKZw2cWEkx5hISwon3KI7Y16T+Cgjtw/PQKdVs+zrwxzMKaOgBQ7mDAYVlc0bVJzi9cnkFVfia0HjZwRBaBz1/tTW6XT06tWLXr16kZycXCtbqSA0FL1WTUq8pVGCC71OTUKMiXaJ4SREmdBrVNVTJkGvUZESE0ZaooVwc+0AI8qi5/bhGUSE6fj42yPsOFhEcZmLlrLmd0BRyCtxYHe0jKDiFI83wMmiSnyilVMQQlqdk5BVVlbyxRdfsHLlSn788UfS0tIYM2YMY8eObczyCZc4vUZFSryFvOJKPN6LG88gSWDUa4gKN2A2alBJUnD9hd9SlKpWk+TYMFyeAKUVbhxOH3L1vhaTlt8N68h/Nhxh+cajeHwBhl+RRpRZ16wzIPyyQr7VgcPpO//OzcDjDZBX7CAlLgyNqmWNoxEEoWHUKbCYMmUKGzZswGw2c9111/Hwww/To0ePxi6bIABVwUVynPmCgwu1SiLMqCUqXI9RrwlOEa1TAHBqzEdcGC6PH2u5B4fLWzUWRK/htiGXsXzjUdb89wQen8zNgzpg1NU5Xm9Q/oBCXkklTre/Wa5fVy63n9xiB23izGcdz9IYJAlc3gB+v4zZpG01U4UFobWp0yegVqvljTfeYODAgajV6sYukyDUoteoSIkzk1uP4EKrUVUNyDTrMWirujou+GaiVGVDbROnweXVU1LuxunyodOqufmaDqzKPs5X207i8fq5Y1Qn9Jqm/X/il2VySxy4WnhQcYrL7Se3pKrlQt3Ic3ZVKgmXt6rVye7woigKEWY9sZHG1ruCqiC0YOcNLHw+HydOnCA1NVUEFUKz0mlUtIk3c7Lo3MGFXqcm0qLHYtKhVatQlDNn4rxQRp2GtHgzlW4/1nI3LrePsf3b8cWPOWzcU4DHLzPxhq5N1tTvC8jkFlfibuFTX3/L6fKRV+IgJdZMY9zfJUnC4w9gs3mocHhq5KMps3twefzER5swiwW8BKFBnTew0Gq1nDx5UiyGJbQIWrWKlPiqbpHT1Wf8RENQFAjTawhLMONw+bGWu7iubyrG6uRlXp/M5JszUTdycOH1y/VqxWlpHE4f+SUOkmJNwbTsF0uSwOeXsdm9lFe6zzod2OMNkFtUSVS4gZhwfYNdXxAudXX61Lvxxhv58MMPG7ssglAnuurgQq9To1ZJhJt1pCVaaJtowWLUIiE13TfQ6kW9UhMstEkI57p+bRnUK5ldh0t47d+78DXi2g2eVh5UnGJ3eskvdaJc5KAHSaoavFpc7uZYgR1rueu8a4zIsoK1zEVOUSVuX6BVrKQqCC1dncZYuFwuVq5cyebNm+nWrRsmk6nG6yIRmdDUtCoVqfFhmLSq4PiJ5mzOlqhKphZmsHDzoHTMRi2rs48z5Y3v6XVZLP26JXJZmwg0ahVqlYRGLSFJpwKg+hfc4wuQW1yJ1xcaUzftlV7ygaSYsHrP2pWkqsRnZU4vtnL3BQVzLrefnEI7MZFGosz6ljJzWBBapToFFkeOHKFr164A5OTk1HhNdJEIzcVo0ATXn2gpJMBi1HLzoHQ6pkbyzbaTbD9YzA8/FRJp1tG9Qww90mOIshjQaFToNCq0GjWo1Tg9AdQqCZVKQq2SqEr2KgG/jhGRJHB6AlWLTYXYSpYVlV5UkkRCtKnON3ZZUSh3+Cgtd+G7yCArEFAosjpxuvwkRBsv6lyCcCmrU2DxwQcfNHY5BCGkSECPDjF07xBNoc1N9p58dh0p4fvd+Xy/O5/UeDOZ7aPJSI1Er1XjU6CszIlKJaGSJCRV1TRZrUaNVqNCp1Gj0ahQUCi0OvE3QFDh8QWocHjxB2T8AYWAXP07IOOXFQKnbfMHZAJy9e+Agl+u/v2b7Sajlt4dY2kTZ76gMpXZPUiSRHyU8ZzBhQJUOL2UlrsbvCuo0unF4/Wj1Wsb9LyCcKmQlHqMbistLSUnJ4cuXbqg0+kas1wtktVaiSy3oK/HFyguzkJxsb25i3HRWks9JAl8AYUyu4fjBRXsPmJl79FSbHYPWrWKjqkRXNU9mWiT9ozLiDcERVEotXvIK3FU/VgdlJS7693ao1ZJqNUSGpUKjVpCrVahUVX/VkuUO7zYnT46pUYyqFcykWb9BZU3OsJAfJSxVi+RAlS6fFjLXY0+CyYq0oQcCBDXyqeltpb/J3URKnVpLfVQqSRiYur/JaFOLRaVlZU88cQTrFu3DkmSWLduHampqfztb38jLi6Ohx56qN4XFoRLhaKARiURF2kkPExHcpyZ/pmJ5BY72Hu0lJ+P2/jpmA2LSUvXttFkdogmJtxwUdf0eAPkWasCiLwSB/lWJ+7qb/Z6rZqkGBMd20QSG2FA85vgQF0dNPw6HkSFWl3VPXO+rk9TmJ51/z3Glp8LOZxbTp9OcVzVLRG9tn5T1UvL3UiSRFxE9fsggd3lp7Tc1WRrdShAud2D2+MnPsqE2SimpQpCXdQpsHjllVcoKiri008/5fbbbw9uHzJkCLNmzRKBhSDUgaIo6DQqkmNMRJr1mIxaUuLCGNo7hfwyNz/szWfL/kJ++LmQpBgTme2j6ZwWVbVa6HnOa61wk1viIK/ESV6JA2uFO/h6bISBjNRIkmPCSI41ERNuaLSxUTqtmoHdk+iZHsN3u/L54eci9vxSysAeSfToEFOvFpnScldwGvGp9UKa48bu8VYNlI2yGIiJENNSBeF86hRYfP3118yePZsuXbrU2J6enl5rMKcgCOd2KjV8arwZu8uPtcxJ9xgzqTEmKl0+fj5uY+9RK19uPcnX23NJT4kgs3007ZPCUaskXB4/+VYHeVZnsFvj1OwQg64qv0mXtlEkx5pIig5Dr2v6he0sJh3X92tL74w4vtlxknU/5rDjYDFDeqfQLjG8TudQFCixVQUXzd1SIMsK1nIXTo+P+CgTJr2m0dZIEYTWrk6BRUVFBVFRUbW2OxwOsRqnIFwoBSwGDeZEC4pajaPSjdmo5YrO8VzROZ4im5O9R0v56ZiNgzllmPQaDDo1pXYPUDV2Iy7CSNe20STHmEiODSPKom9RM7WSYkz8blhHDuaU8e3OPD785gjpyeEMzkqpc3dPS7p/u9x+Tp6almoR01IF4UzqFFh0796dr776irvvvrvG9mXLlpGVldUY5RKES4aERHx0GLIvQJndQ5m9arXI+CgTQ6NMDOqVwtH8Cn46VoovIJPZPpqk2DCSok3o6jl2oTlIkkSntCjSUyLYdqCY7H0FLFrzM706xjEgM/G8XT0tTUBWKCp14nD7SIgyode2rCnPgtDc6vQ/eurUqUyYMIHDhw8TCAR47733OHToEHv27OGf//xnY5dREC4Jpw/wtFYnzJJlBbVK4rKUCC5LiWjuIl4UjVpF364JZHaIZtOeAnYcKuanY6X075ZIVsdY1OrWlUbd4fRxwmMnLtpIZJhOBBeCUK1O/5N79+7NsmXL8Pl8pKWlkZ2dTXx8PMuWLaNbt26NXUZBuGScPsAzNcFCmEkbcstMhxm0jLwilbuv7UxitImvd+Sy8PP9HDpZ1urGLfgDMgUlDnJLHOddPlwQLhX1WsfiUifWsWhZQqUecI66VE+ztJY5W0X20shIE2VlzjrvrygKv+RX8M2OXEorPKQlmBmalUJ8lOn8Bzey+tZFp1URFx1GeAublnpJ/D9pZVpLPS50HYs6tVh06dIFq9Vaa7vNZqs1U0QQhAZUPcCzbaKFxNgwtNrW1V1wPpIkkZ4cwT3XdWH45W0osrl4b+0BPv/hBJUuX3MXr168Ppn8okoKSl0h8QVEEC5UncZYnK1Rw+v1otWKZW8FobFJSESZdYQbtTg8fsoqPbjdfgIhcgNTqyR6Z8TRtV0Um/cWsP1QCftP2OjbJYEOyeFEh+vRaVr+QFVZUbBVuHF5fCREmzDpta2ue0cQLtY5A4tFixYBVd8qli5dSlhYWPC1QCDA1q1b6dChQ+OWUBAEoGrapUolYTFqsZi0eHwyDqePcocHry/QoprfL5RBp2Fo7zb06hjLhp15bNyTz8Y9+QBEhOmICTcQE2E47bceg67lzSpxewKcLKwkqrqsITZMRhDO6Zz/I08lH1MUhY8//hiV6tdmWK1WS5s2bXj22Wcbt4SCINSmgF6jwhChJypcj8vjp9zhxeHyNUiCsuYWbTFw09UdKLW7KS5zYy13Y62o+n2iyF5joGSYUUNMuIHY04OOcAMmg6ZZ1/QIyAolNhdOt5+EaBMGMS1VuEScM7D4+uuvARg/fjyzZ88mIqJ1T3cThFCjKFWZVE16DWajFq9fxuH2VeW48AZafV9/tMVAtMUAqb9uk2WFCqeXktOCDWuFm71HS/GeFlQZdOqaLRzhBmIjDFhM2iYNOJwuHzkFdmKjjESadbUSqwlCqBFp0wUhRMiygkYlEWHSERmmw+2TsTu8VDi8eH0tf0ZJXalUEpFmPZFmfY21PRRFqc58WhVolFS4sZZ7OHSynN2eXwefx4QbyGwfTdd2UVhMTZOl2R+QKbQ6cLp9xEcZ0agadxCuJEnIioLbGyC/xIESkNFpRIuJ0DTq3Dm5Zs0asrOzsVqtyHLNptZ33nmnwQsmCMKFU051lURWJc5yugOUV3pwuv34A62/q+RMJEnCYtJhMelol1QzH4nT7cNa4aGozMX+4zY27Mrju915tEuw0K19NB3bRKLVNO7NXlGgotKL2+MnLsqExaRt0NYLlUrC55dx+wI4XD4qnT58/gARESYclW7ioxv+moJwJnUKLF5++WXef/99+vbtS3x8fIvKRSAIwtlVdZVIhBk01QM+AzjcfsrsbrxeGfkS+QprMmgxGbSkxpu5PCOOUrubfUdL2Xe0lFXZx9Fpc+icFkVm+2hSYsMa9TPO65PJK64k0mIgLtJIPRK+1iJJ4PPLuLwB7E4vLrcf3xnG2Pj8VdeMqu4OEhlahcZUp/8wCHcAACAASURBVMBixYoVvPrqq1x77bWNXR5BEBqJLCto1Soiw3REmnW4PFU3I69Pxh+omlVS9aNU/1Q9D8XgI9pi4OoeyQzsnsSJokr2HS3l5+M2dh+xEmnW0a19NP17pDTabA5FAVuFG6fbR2LMqWyp5z/uVDzg9sm4PH7sTi8eT6BOrVCKAqXlblweP4kxYWIwqdBo6hRYyLIsFsIShFBSnbrdpDcGv50rioKsVAUgsgIKCrL8a5ARkBUCAYWALJ/2WAkGJbJSldfkVJfCqfNKUtWPSqVCJUlVjyUJlapqH5VKqvotSagkTnte9brbF6Cswo3H2/DjRCRJom2ChbYJFoZf3oaDJ8vYe7SUTXsK2LSngNR4M5nto8lIjUTfCAnfPN4AOYWVRFdPnZXOEMqcPl7C6fZjd3rw+eQLXsPE5faTU1BBXLSJiCYaYyJcWuq0pPesWbPQaDQ89NBDTVGmFkss6d2yhEo9oHXV5ddWdCn4WFEUAjJERhqx2ZzVwUTV6xLU6Fr4/+zdeXxTVdoH8N/N1jbd2zRAS5FFWrEVWqBSKAyKCg7igijigI6gIOMwOsAroKUw7KDiwiIDDqA4WFEEXGAGHBUVKiBLwSKURZZCgTZtoHvW8/6REgndUkhCE37fD3ya3Jx77/M0TfLk3nPP+f0dR9SyrPb9WYVAWaW5evAps9u/aZeUG3H8fCl2H7oAfakBSrkM7WNDkdgmAq20wZBdz/mLOqj9FWgWGQh/pdx+iuPq/hLXknddQ5NLEhAS5AdteADkXnJqxJteJ/XxljyudUhvp45YlJSU4KuvvsL27dsRHx9fY7TNyZMnN3rHROSdriwMrvygk0mAn0oB+ZUfusJWPlzP6JOX+4lcHhisosoMfakB5ZUmtxX6IYEq3N0lFkltI5BfVIGcE0U4fOoifj2pR7BaiYTWEUhoE4HIEH+X7bOi+khCWLA/jGZLnf0lXEUI4FKpAQaDGdoINQL9OUoouYZThcWxY8dw2223AQB+++03h8fYkZOIPEbYxuwI9FegymiBvsyAsnKT2650kSQJMZpAxGgCcU/nljh29hJyThRj56EL2PHrBbSIVCOxTQQ63BLukhFAzRYB3cVKF0TuvCqjBWcLyhAZHoDwID+OEkrXjeNYEJHXEQLwU8rRIiIQhhALSsqNuFRqcOs3fIVchttaheO2VuEoqzTh15O2q0q+3n0G3+49i1tjQpHQJgJtWoQ4HrXxAharQEFRBSqrzGgW4f5xNsi3Nb1B9omInCSEgEouQ1SoP8KD/FBaacLFkipUuaGj55WCApS4s0MzpNymRYG+EjknivHrKT1y8y5C7afA7a1tl642henfG6O03AiD0YxmEYEIamLTv5P3qLOwGD16NN544w0EBQVh9OjR9W6kMQNkrV69GsuXL0dhYSHat2+PV199FV27dq2z/a5duzB37lwcPXoUWq0Wzz33HJ588kn740uXLsWWLVtw4sQJqFQqJCUlYdy4cYiLi7O3EUJg0aJFWLNmDUpKStCpUydMmTIF7du3dzpuImq6hLDNkBoWqEJooArllSYUlxpQWWVy64ejJEloFqFGswg17kqOwW/5JTh4ogh7j+qwO7cQ2rAAJFSP8hno7x0zQRtNVpwtvHylivdNoCZJ1d2CWRTdMHUe7woPD3e4Xd9/Z23atAmzZ8/G6NGjsWHDBiQnJ2PkyJHIz8+vtX1eXh5GjRqF5ORkbNiwAc8//zxmzpyJzZs329vs2rULf/rTn/Dxxx/jgw8+gFwux/Dhw3Hx4kV7m/feew8rVqxARkYG1q5di4iICAwfPhxlZWVOx05E3kGC7YhCq2ZBaNU8GMGBKo+cmpDLJLRvGYpHerXFXx9JxL1dWkImk/DdvrN4d0MOPvv+OHJP671i5FNr9QRqZwrLYLJY4U1d6UoqTLa4rU3/9+yrnLrc1FUef/xxxMfHY+bMmfZlffv2Rb9+/TB+/Pga7V9//XV8/fXX2LJli31Zeno6jh07hjVr1tS6j/LycnTt2hWLFy9Gnz59IIRAr169MHToUPzlL38BAFRVVaF79+6YOHEihgwZ4nT8vNy0afGVPADfyaUp5iFJtgGl9KVVjeroWddlmo2lu1R9quSkHmWVJvir5PZRPltEqt3eAf5681AqZIiKUCOkCQwHXtfflyQBJosVBRcrUVpmhBCASilDC00g1H5N72qXpvg6qc21Xm7qsR46RqMRBw8eRFpamsPytLQ07Nu3r9Z1srOza7Tv2bMncnJyYDKZal2nvLwcVqsVISG2uQLOnDmDwsJCh+34+/sjJSWlzv0Ske+4PG9Ki4hA3NIiGNpINfz95G4Zi6I2mtAA3JUUg9EPJeDxu9qhTYsQ5Jwowr+/PoLlmw5hx8HzKK0weiSWa2EyW3GusAwXiiub7CisJRUmnDpXipJSo/3Ul9FkxZkLZSguM9zY4G5CHuu8qdfrYbFYoNFoHJZHRkYiKyur1nV0Oh26d+/usEyj0cBsNkOv10Or1dZYZ9asWejQoQOSk5MBAIWFhfb1rt5vQUFBo3K4lsqtqYqKCr7RIbiEr+QB+E4u3pCHxSpQXmlEWaUJpeVGmMzWWvtihIW5tvNlREQgkjs0R5XBjF+O67A3txA/HDiHHw+cQ7uWoUiO16JdTKhtRFOzFWaLgNli/f2/2QqTRcBSfd9kscJiETBVP2ZrJxzay+USYrXBuKVFCJpHBl7zaSEB4FKVBc0j1QgJ9HPp76Uxrvz7qqgy40JxOSqMVgQG1T6miNEsUGkRaBEZCKUbRk+9Vt7wOrlWPnVVyJw5c7Bnzx5kZmZCLnf9HxBPhTQtvpIH4Du5eFseKgmICFTCYLSgvNKMkgoDjCYrrFbhslMhdWkfHYL20SHQlxpwsPrS1U+/OXrN25MkQCGTQS6XIJdLUMhkUMhlMFus2H9UB8B2WiM6MhAxUYFoGRWIFpGBjR6qXFdUhrAgf4QGqeCvknv0PfHKv6/SShMKiiucusRYf7ECuuJyNItQQyW/8ZfSesvrxK0jb7pCeHg45HI5dDqdw/KioiJERUXVuo5Go0FRUZHDMp1OB4VCUaPT6OzZs7Fp0yZ88MEHiI2NtS+/vG2dTofo6GiH/V59FIOIbi6Xj1L4KeXwV8kREeoHg9GCskozoLDNbeLuw//hwX7oeUcLpCU2R15hGYouVUEhl0Euk2w/q4sEudx2XyGXIJdV/5TLoKhuV9epnbAwNU6fvYgzhWU4qyvH2cJyZOWcB2ArRrRhAWgZFYSYKNtAYMENzB9isQgUXarExbIqBKlVCA/2g79K7rH+F2aLQMGlCntfCmeVV5hwxlSK5pGBHGXUzTxWWKhUKiQkJCArKwt//OMf7cuzsrLQt2/fWtdJSkrC//73P4dlWVlZSExMdBhWfObMmfjPf/6DVatWoV27dg7tW7ZsiaioKGRlZaFjx44AAIPBgN27d2PChAmuSo+IvNzVRUZYeCAClTKUVZhQVmGEwXRtc3U4S5IktNIGo5XW9YfIQwJVuD0wAre3jgBgm/wsv6jcVmwUlmP/cR32HLGdNg4NVFUXGUFoGRUITah/rR1MLRaBS6UGlJYbofZXIiLED2p/hVsLDN3FCpw6X3LNA6EZTVacLSiDpnqUUXIPpwuL3NxcrFmzBqdPn8bs2bOh1Wrxv//9D9HR0bj99tud2sbw4cMxYcIEdOzYEZ07d0ZmZiYKCgrsV2Zc/qB/7bXXAABDhgzB6tWrMWvWLAwZMgR79+7F+vXrMX/+fPs2p02bhs8//xyLFy9GSEiIvU+FWq1GYGAgJEnC008/jaVLl6Jt27Zo3bo1lixZArVajQEDBjibPhHdRISwjbTpr5QjIEyOyFB/VBltE4LZppp3b5Hhbn4qOdq0CEGbFrZO7harQIG+AmcKy3FWV45T50vx60m9ra1Sbjt1oglETFQQmkeo7TPYArZLU8sqjCivNCLAT4GIEH8E+itdeonq5aMUcrniukdXtVgFCoorYDRZERXmD5k3XUvrJZwqLLZt24a//OUv+MMf/oAdO3bAYLD1sj19+jTWrVuHd99916md9e/fH3q9HkuWLEFBQQHi4uKwbNkyxMTEAADOnTvn0D42NhbLli3DnDlzkJmZCa1Wi/T0dPTr18/e5qOPPgIAPPPMMw7rjhkzxj4b68iRI2EwGDB9+nRcunQJnTp1wooVKxAU5DudMYnIPWyToF2eZv73IqOs0nYkw9uLDMA2BkeLSFufixTYBhW8WGbE2cIynKk+ffJbfom9bdvoENzeOgLtokOgqO6zIIStM2VFVRn8/eQID/FHUIASCpl07b8fCSitMKFQbysEwsJcc5BdCEBfUgWDyYIWkWoom0C/C1/i1DgWjz/+OB555BEMHToUycnJ+OKLLxAbG4ucnByMHj0a27Zt80SsNxw7bzYtvpIH4Du5+EoeQMO52KZzt03iVVphRHmlqUkWGa7qhFppMOOsrhwnz5ci97Qe5VVmqJQyxLUMw+2tw2udTl6llCMsxA8hahWUclmj+jXU1pfCHR1qVUoZmkUGIsiD/S685XXi1s6bR48eRe/evWssDw0NxaVLlxq9UyIib+d4JCMA1tAAVJnMKK0woazCBJO56RUZ1yPAT4FbY0Jxa0wo+iTH4PSFUvx6So8jeReRc6IYgf4K3HZLOG6/JRzNI2wDfxlNFhQUVUB/qQohgX4IDVbBX9nAlSRXHaVwN6PJivzqfhcRwX4+9ZzdKE4VFqGhobhw4QJatmzpsPzXX39F8+bN3RIYEZG3EMJ2BCNApYDaT4GosABUGX23yJDJJLRuEYLWLUJwX9dY/JZ/Cb+e0iP7qA57cgsRHuyHDtVFRkSIP0xmq/1KkuBAFcKDbFeSXP07MVsECi9VoqTM4PTvSwgBfZkBF4orcUFfgcKLlYgKC0Dq7c2cnsqe/S5cy6nf+oABA/D666/j7bffhiRJMJvN2LVrF+bNm4dHH33U3TESEXmN349kKKD2UyIqzIoqowUlFUaUV5h9rshQKmSIbxWO+FbhqDKacSTvEn49WYysnPPIyjmP5hFqdLjFNt18sFqJiyUGlJQZERhQfSWJnwICzh2lsFgFCi/aCojLhUSBvhLG6g6dMpmEiGA/nDhXigPHi9A9oTmS22vs/UDqw34XruNUHwuTyYRJkyZh06ZNEEJAJrOdKxswYADmzp3rlsGomiL2sWhafCUPwHdy8ZU8ANfnIkkSrMKKSoMFpZVGlFWYYK5jxE9XcvdAX3UprTDi8OmL+PVkMS7oKwEAtzQLQodbIhAfGwY/ldx2lMff1sGztMJxXAqzxQrdpSpcKK7ABf3loxFV9rlelHIZosID0Cw8AM3C1WgWEQBNiD/kchkK9BXYmp2Pk+dLERakwh86RSM+NszpeVmUChmaRwYiKMA9/S685XVyrX0sGjUJ2enTp/Hrr7/CarXi9ttvR+vWrRu9Q2/GwqJp8ZU8AN/JxVfyANybiyRJsFitqLzc8bPCdN2XUdblRhUWVyoqqcKvJ/U4dKoYF8uMkMsktIsOQYfqK0usQqBQX2krIKoLCd2lSlx+u/VTyqEND8AtLUIQqlaiebga4cF+Dc73cuJcCbbuO4vCS1VoEanG3ckxaBnl3AelTCZBEx6ASDf0u/CW14lHCoubHQuLpsVX8gB8JxdfyQPwXC6SJMFstf5+dUmFCRarcNl7TVMoLC4TQuBcUQUOndLj0Ck9KgxmKOUymK6YcVbtp7AdhYhQ23+GBqogSdI15WK1Chw8WYwfD5xDWaUJ7VuGonenaESE1D63yJUkCQgN8oM2XA25THLZ0QtveZ24/KqQK6c2b8jkyZMbvWMiIrJ92MolCYF+CgT5K2EOs000ZjZbUGmwoMpohslkhcVihcXLv9hIkoRoTSCiNYG4OzkGpy6U4tjZS7ZiorqQCApQunQqeZlMwh1tIxHfKgy7Dxdi56ELOH72EDrdqkFaYnOo/ZV1risEcLHUgIoqMwL8FFAHKOCnlEMpl0GpsHUJ4FfzmuosLHJzc53agCv/AIiIbmaXiwy5QgIUMgRXf8harAKm6tlODSYLqgxmGExmmM0CFqv7+mlIku2DWSZJkCQJCrkERfUcKpbqD1WrVcBaHcPlOAQEqv9V//z9/uVv/TKZ5DD6p7upFHL0SGyOTu0isT3nPLKP6XDwRDFSb2+GLvFah9FEr2Y0WWA0WXCpzGCb7E0ug1Iph9pfgQCVAiqlDCqFDIDrjmp4szoLiw8//NCTcRAR0VVsH9YCEgCVQgaVAlD7ySEF+wEQtiMbFitMZisqDWZUGS0wmSywWkW9RzckyfalUCZJkGSonvBMDqVCgkIhh1Jhm9xMLrMVFHKZbcZUmeQ4iuaV3ysvf6BabdUDrNUJWIUEQNgLD4Hfv+WL6nbCKmA0W2E2W2AyC5gtFlisAsIKWIXrTgsBQGCAEn1TYtElPgrfZ+fjhwPnsO+YDr06tkBC64gGvywLAZjMtt95RaUJACCXS1DKZfD3V0Dtr4SfwnZEQyG/OY9qNHp81PLycgBAYGCgy4MhIqKGXf4QV8gkKGRy+CvlCFEr7Z1CbR98tqMbKj8FhNkPCoUEpVwOhUIGucx2xEAuk0EuSZDJbIWGqD7EUOsHoUCNmV5raycBgCRBfuVPOHdk+3LBI6qLCYtAdX8T22mgALUfZOJyfhZYqwsPYRW2n434AI8M8cejf2iL0wWl2LovH5t2nMbuw4W4KzkarZs37iiKxSJgsVhQZbTgYokBMslWiKlUcgT6K+GvUkCpkOxHNXyd04XF+++/j/fffx8XLlwAAGi1WgwfPhx//vOfeTqEiOgG+/3ohgSVQg6VAggKUECjCYZOV4Y6C4Yr1r3RroxDkiTYzghJAGynKaIiA6EQVgASJOnKoqP6thAwm62oNJpRVm6E2dJwTq20wXiqbxwOndLjhwPn8Ml3x9G2RQh6J0UjKizgmvKwCgGr2Xb6qrzCdlTj8mmkAH8FoJDBbBFQKWU+cUHA1ZwqLF577TV88sknePbZZ5GUlAQAyM7OxuLFi1FQUMDpx4mImqArTzn4iiuPqkiA7ajLld0j/ICwID8YQ/xRVFKF0jJjg51eJUnC7a0jEBcbhr1HCvHTwQt4/7+HcUfbSPS8owWCAuru4Okss8V2iqfKYIGQ5CgrrYI6QIHQQD8E+MkhlzVuLpWmzKnCYu3atZg5cybuv/9++7Lu3bujTZs2mDp1KgsLIiJqMoQQUMpliI4MRGWwP4pKKlFWbmrw6IBCLsOdHZrhjraRyDp4HvuO6nDopB63tQpDSKAKQQFK23+17afaT3HNR+zNFitKyowoKTNCqZQhWK1CsFqFAD85JNR+mslbOH0qJD4+vtZlVqv7J4khIiJqLKtVwE8hQ0xkICqDLSi6VIXyClONviJXC/BT4J7OLdG5fRR+PJCP4/klqDCYa7STSbbOoEFX/A++8n51AeKnlNdbgJhMVhRfqsLFEgNUKhlCg/wQ6K+En1LmlQWGU4XFww8/jNWrV9cYryIzMxMPP/ywWwIjIiJyBSEAf6UcMVGBqDSYobtUhYpKU4Mf2uHBfngorQ0AwGKxorzKjLJKU63/9aUGnL5QBoPJUmM7CrnkUHxEhqmhkksIVtsKkWC1CoEBSkAGVBksqDJUQC6T4O+vQFiQHwL8FI2edv5GcmqALLPZjC+++ALbtm2z97HYv38/CgoK8OCDD7o/SiIiouslbJPDtdIGoazSjKJLlag0mJ06KiCXyxASqEJIoKrediaztc7io6zShAv6ShzPL6l1CPfAAAWCA1S2gkOtqi46lAgL9oM2Qo2WUUEIDVTWuOy3qXF6gKyEhAQAwNmzZwEAGo0GGo0Gv/32mxvDIyIici0hgEB/BdT+wSirNKHoUiWqDDWPNFwLpUKG8GA/hAf71dkmNDQAFwpLUVphQmmF0faz0na7rKL+ox9qPwXCgv0QGeIHTWgAwoL9EBXqj47tIusdRdSTOEAWERHdlCTA3ieitNKEoouVMBhdU2DUu19Jgr9KAX+Vot5LWg0mC8oqryg+KkworbTdvqCvxPGzv/f9UMpl6HRrJHoktkBi2winpop3l0YPkEVERORLJAAhAUoEByhwqdwEfUmVRwqMhvgp5fBTyhEZ4g+53DagmUoph7+f3DbollwGq7DiQnEFdvx6AT/lnMfu3EIEq5W4s0Mz9EhsjtbNgz0+1lSdhcXo0aPxxhtvICgoCKNHj653I//85z9dHhgREZEnSZAQHqRCSIASFyuM0F+qctt09nXGINnG5lAoJPgpFfD3s018ppBLUCpk9llWf+9jIUPr5iFo3TwEj/Vuh0On9Nj+y3n8kJ2Pb/acQYtINXokNkfq7c0RGdrwjK6uUGdhER4eXuttIiIiXyVE9XThwX4IUatwscyAS6UGWK0C9s/yyxOrXbHOtZDJfp+HJcBfgQCVEsrqeUaUcgm1TWpW31gcCrkMd7SNxB1tI1FRZcKeIzps/+UcPvv+N6z7/jfE3xKOHgnN0SU+CgF+7jthIQlvuX6lCSgqKvOJ4VejooJRWFh6o8O4br6SB+A7ufhKHoDv5OIreQA3JhdJAkyWyxOhCQghVZcUVx41ELiyCLg8i+vvI5/+fl8ACA72Q1Wl0Tbhm8w2a+zldu5QeLEKOw+dx7YD51Cgr4RKIUPnuCj0SGyODq3DIZfV3h9DJpMQGRnU6P2xjwUREVEdhKier0Tmun4KUZoghwLJ3V/vo8L8MaB7azyQegtOnCtF1sHz2HHwPHb8egGhgSqkJjRDj8QWiNU2voioTZ2FxVNPPeV0h49Vq1a5JBgiIiJyD0mS0DY6BG2jQ/DE3bci50Qxtv9yDv/bfQabd+UhVhuE7gnNkZrQDGFBdV8u25A6C4u4uDj7bYvFgi+//BIajQadOnUCABw4cACFhYV46KGHrnnnRERE5HlKhQzJ7TVIbq9BWaURu3N12HYgH598dwxrtx7HlGe6onWLxk0ff1mdhUVGRob99uzZszFw4ECkp6c7HMWYNWuW1wwxSkRERDUFBahwV1I07kqKxgV9BQ6fvghthPqat+fUCBqff/45hg4dWuPUyJ/+9Cd88cUX17xzIiIiajqahavRu1M0/JXya96GU4WFEAJHjhypsby2ZURERHTzcuqqkEGDBmHy5Mk4deqUvY/F/v378a9//QuPPvqoWwMkIiIi7+FUYfHyyy8jIiICq1atwptvvgkAiIqKwsiRIzFixAi3BkhERETew6nCQiaTYeTIkRg5ciTKysoAAEFBrrnelYiIiHxHo6Y/++WXX/DDDz9AVj1KV0VFBcxms1sCIyIiIu/j1BELnU6HF154AQcOHIAkSdiyZQvUajXmzp0LlUqFyZMnuztOIiIi8gJOHbGYM2cOIiMjsXPnTvj7/z472v3334/t27e7LTgiIiLyLk4dsfjpp5/w/vvvIzQ01GF5bGwszp0755bAiIiIyPs4dcSiqqoKSqWyxnK9Xg8/v2sfT5yIiIh8i1OFRUpKCtavX++wzGKx4L333kNqaqpbAiMiIiLv4/Q4FsOGDcMvv/wCk8mEefPm4ejRoygrK0NmZqa7YyQiIiIv4VRhceutt+LLL79EZmYmVCoVDAYD7r//fgwdOhRardbdMRIREZGXaLCwMJlMeOuttzB06FC8+OKLnoiJiIiIvFSDfSyUSiUyMzM5PToRERE1yKnOmz179sSOHTvcHQsRERF5Oaf6WKSmpuKtt95Cbm4uEhISoFarHR7v27ev0ztcvXo1li9fjsLCQrRv3x6vvvoqunbtWmf7Xbt2Ye7cuTh69Ci0Wi2ee+45PPnkk/bHf/75ZyxfvhwHDx5EQUEB5syZU2PG1UmTJtW4qqVTp0745JNPnI6biIiIGuZUYTFjxgwAwIcffljjMUmScOjQIad2tmnTJsyePRtTp05Fly5d8NFHH2HkyJHYuHEjoqOja7TPy8vDqFGjMGjQILz++uvYs2cPpk2bhoiICPTr1w+Abb6SuLg4PPLII5g4cWKd++7Rowdee+01+/3axuUgIiKi6+NUYXH48GGX7GzlypUYOHAgBg8eDADIyMjAjz/+iMzMTIwfP75G+48//hharRYZGRkAgHbt2mH//v1YsWKFvbDo3bs3evfuDQB45ZVX6ty3SqVCVFSUS/IgIiKi2jVqdtPrYTQacfDgQaSlpTksT0tLw759+2pdJzs7u0b7nj17IicnByaTqVH737NnD7p3745+/fph8uTJKCoqalwCRERE1CCnCotXXnkFK1asqLF85cqVSE9Pd2pHer0eFosFGo3GYXlkZCQKCwtrXUen0yEyMtJhmUajgdlshl6vd2q/ANCrVy/MmzcP77//PiZOnIgDBw7gz3/+M4xGo9PbICIiooY5dSrkhx9+wFNPPVVjeWpqKpYvX+7yoFztgQcesN+Oj49HQkIC+vTpg61btzaq42lkZJA7wrshoqKCb3QILuEreQC+k4uv5AH4Ti6+kgfgO7n4Sh61caqwKCkpqXElCAAEBATg0qVLTu0oPDwccrkcOp3OYXlRUVGdfR80Gk2NUxY6nQ4KhQLh4eFO7bc2zZo1Q7NmzXDy5MlGrVdUVAar1fvH84iKCkZhYemNDuO6+UoegO/k4it5AL6Ti6/kAfhOLt6Sh0wmXdMXaqdOhbRu3Rrff/99jeVbt27FLbfc4tSOVCoVEhISkJWV5bA8KysLycnJta6TlJRUa/vExMTruqqjuLgYBQUFHI6ciIjIxZw6YjFixAhMnToVxcXF9tlMf/rpJ3zwwQeYMmWK0zsbPnw4JkyYgI4dO6Jz587IzMxEQUEBhgwZAgCYMGECANgvCx0yZAhWr16NWbNmYciQIdi7dy/Wr1+P+fPn27dZXl6O06dPAwCsVivy8/Nx6NAhhIaGIjo6GuXl5Vi0nfbCzQAAIABJREFUaBH69u2LqKgonD17Fm+++SYiIiJw7733Oh07ERERNcypwmLgwIEwGAxYsmQJli5dCsB2OmHSpEkYNGiQ0zvr378/9Ho9lixZgoKCAsTFxWHZsmWIiYkBAJw7d86hfWxsLJYtW4Y5c+YgMzMTWq0W6enp9ktNASAnJwdPP/20/f7ChQuxcOFCDBw4EHPnzoVcLseRI0ewYcMGlJaWIioqCt26dcPbb7+NoCDf6TNBRETUFEiikZOAFBcXAwAiIiLcElBTxj4WTYuv5AH4Ti6+kgfgO7n4Sh6A7+TiLXlcax8Lp45YXOlmLCiIiIjIOR4bIIuIiIh8HwsLIiIichkWFkREROQyLCyIiIjIZRrVebO8vBzvvvsuduzYAavVii5dumDMmDEICwtzV3xERETkRRp1xGLq1KkoKCjAiy++iL/+9a84ceKEfVArIiIionqPWHz66ad4/PHH7fezs7OxZcsWyGS2eqRdu3Z47LHH3BshEREReY16j1j8+OOPeOqpp+yTdXXq1Anp6en4/vvv8c0332D27Nno3LmzJ+IkIiIiL1DvEYsFCxbgf//7H0aOHIlBgwYhIyMDS5cuxTvvvOPQx4KIiIgIcKLz5r333ovU1FS88cYbePrppzF9+nRMnDjRE7ERERGRl3HqqpCgoCD84x//wN69e5GRkYFu3bph3LhxUKvV7o6PiIiIvEi9fSzy8/Px0ksv4cEHH8T48ePRsmVLrFu3DmFhYXjkkUfw3XffeSpOIiIi8gL1FhYTJ06ETCbDyy+/jMjISEyZMgVKpRJjxozBkiVLsHz5crz44oueipWIiIiauHpPheTk5ODzzz9Hq1at0KtXL9xzzz32x9q1a4d///vfWLNmjduDJCIiIu9Qb2GRkJCAd955BwMHDkRWVhbi4uJqtHniiSfcFhwRERF5l3pPhcybNw8mkwlz5szBhQsXMG3aNE/FRURERF6o3iMWMTExWLBggadiISIiIi93TbObFhcXw2QyuToWIiIi8nL1FhZr1qyB0WgEAAgh8M9//hMpKSlIS0tDSkoK5syZA6vV6pFAiYiIqOmrt7D4xz/+gdLSUgC2ImPp0qV4/vnnsWrVKowdOxafffYZPvroI48ESkRERE1fvX0shBD222vXrsVLL72EZ555BgCQkpICtVqNDz/8EMOGDXNrkEREROQdGuxjIUkSAODMmTNITU11eCw1NRV5eXnuiYyIiIi8ToNzhXz33XcIDg6Gn58fKioqHB6rqqqCTHZN/T+JiIjIBzVYWKSnp9tv79y5E507d7bfz87ORqtWrdwTGREREXmdeguLw4cP17uyRqPBuHHjXBoQEREReS+npk2vy9133+2qOIiIiMgHOFVY5OXlYc+ePSgoKIBMJkNsbCzS0tIQFBTk7viIiIjIi9RbWFRUVGDSpEnYsmULANsVIpGRkSguLoafnx/+7//+D0OHDvVIoERERNT01VtYzJ07F4WFhfjiiy/g5+eH+fPnIzY2FmPGjMHGjRsxc+ZMhISE4MEHH/RUvERERNSE1VtYbNmyBf/617/s06XPmDEDvXr1wpgxY/DYY4/BYDBg+fLlLCyIiIgIQAMDZFksFod+FGq1GmazGZWVlQCAtLQ0/Pbbb+6NkIiIiLxGvYXFHXfcgffff99+f+XKlYiIiEBERAQAoLy8HGq12q0BEhERkfeo91TI+PHjMWLECGzevBkKhQJ6vR7z5s2zP56dnY3evXu7PUgiIiLyDvUWFgkJCfjyyy+xdetWGI1GpKam4tZbb7U/PnToUF4VQkRERHYNjmOh1WoxePBgT8RCREREXo4ziBEREZHLsLAgIiIil2FhQURERC5TZ2GxYcMGGI1GT8ZCREREXq7OwuKVV15BWVkZAKBDhw4oKiryWFBERETkneosLCIiIrBv3z4AgBACkiR5LCgiIiLyTnVebjpkyBD89a9/hSRJkCQJaWlpdW7k0KFDbgmOiIiIvEudhcXf/vY33H///Th16hTGjBmDGTNmICQk5Lp3uHr1aixfvhyFhYVo3749Xn31VXTt2rXO9rt27cLcuXNx9OhRaLVaPPfcc3jyySftj//8889Yvnw5Dh48iIKCAsyZMwePPvqowzaEEFi0aBHWrFmDkpISdOrUCVOmTEH79u2vOx8iIiL6Xb0DZLVv3x7t27fHmDFjMGDAAAQEBFzXzjZt2oTZs2dj6tSp6NKlCz766COMHDkSGzduRHR0dI32eXl5GDVqFAYNGoTXX38de/bswbRp0xAREYF+/foBACoqKhAXF4dHHnkEEydOrHW/7733HlasWIG5c+eiTZs2WLx4MYYPH47//ve/DpOsERER0fVx6nLTMWPGICAgAHl5efjuu++wdetW5OXlNXpnK1euxMCBAzF48GC0a9cOGRkZiIqKQmZmZq3tP/74Y2i1WmRkZKBdu3YYPHgwHnnkEaxYscLepnfv3hg3bhzuv/9+yGQ10xFCYNWqVRg1ahT69euHuLg4zJs3D+Xl5fjqq68anQMRERHVrcEhvQGgrKwMr776KrZs2WL/8BZCoG/fvpg1a5ZT3/qNRiMOHjyIESNGOCxPS0uzdxK9WnZ2do2+HT179sSGDRtgMpmgVCob3O+ZM2dQWFjosB1/f3+kpKRg3759GDJkSIPbICIiIuc4VVjMmjULubm5WLVqFZKTkwEAe/fuxdSpUzF79mzMnj27wW3o9XpYLBZoNBqH5ZGRkcjKyqp1HZ1Oh+7duzss02g0MJvN0Ov10Gq1De63sLDQvt7V+y0oKGhwfcd1fOe0SVRU8I0OwSV8JQ/Ad3LxlTwA38nFV/IAfCcXX8mjNk4VFt9++y0WL17s0MmyW7dumDFjBsaMGeO24JqaoqIyWK3iRodx3aKiglFYWHqjw7huvpIH4Du5+EoegO/k4it5AL6Ti7fkIZNJ1/SF2qk+FlVVVQgLC6uxPDQ0FAaDwakdhYeHQy6XQ6fTOSwvKipCVFRUretoNJoaA3PpdDooFAqEh4c7td/L265tv1cfxSAiIqLr41Rh0blzZ7zzzjuorKy0L6uoqMDChQvtp0YaolKpkJCQUOO0R1ZWVp3bSEpKqrV9YmKiU/0rAKBly5aIiopy2I7BYMDu3budjp2IiIic49SpkFdeeQXPPvss/vCHPyA+Ph4AcOTIEfj7+2P58uVO72z48OGYMGECOnbsiM6dOyMzMxMFBQX2DpQTJkwAALz22msAbIN0rV69GrNmzcKQIUOwd+9erF+/HvPnz7dvs7y8HKdPnwYAWK1W5Ofn49ChQwgNDUV0dDQkScLTTz+NpUuXom3btmjdujWWLFkCtVqNAQMGOB07ERERNcypwiIuLg5btmzBl19+id9++w0A8PDDD+PBBx+Ev7+/0zvr378/9Ho9lixZgoKCAsTFxWHZsmWIiYkBAJw7d86hfWxsLJYtW4Y5c+YgMzMTWq0W6enp9jEsACAnJwdPP/20/f7ChQuxcOFCDBw4EHPnzgUAjBw5EgaDAdOnT8elS5fQqVMnrFixgmNYEBERuZgkhPD+3ogews6bTYuv5AH4Ti6+kgfgO7n4Sh6A7+TiLXm4tfMmERERkTNYWBAREZHLsLAgIiIil2FhQURERC7DwoKIiIhcxqnLTS9evIi33noLO3bsQFFREaxWq8Pje/fudUtwRERE5F2cKizS09Nx6NAhDB48GFqtFpIkuTsuIiIi8kJOFRY//fQTVq5ciU6dOrk7HiIiIvJiTvWxiIyMhFqtdncsRERE5OWcKizGjh2LBQsWoLy83N3xEBERkRer81TIgw8+6HD/zJkz6NGjB6Kjo6FQOK725Zdfuic6IiIi8ip1FhZXTvRFRERE5Iw6C4sxY8Z4Mg4iIiLyAU71sbjnnnug1+trLC8pKcE999zj8qCIiIjIOzlVWJw9e7bGoFgAYDQaceHCBZcHRURERN6p3nEstmzZYr+9detWBAcH2+9bLBb89NNPiImJcV90RERE5FXqLSxefPFFAIAkSUhPT3dcUaFATEwMJk2a5L7oiIiIyKvUW1gcPnwYANCnTx+sXbsWERERHgmKiIiIvJNTQ3p/++237o6DiIiIfECdhcWiRYuc3ggvTSUiIiKgnsJi8+bNDvfPnj2LqqoqaLVaAEBBQQH8/f0RExPDwoKIiIgA1FNYXDlM92effYYNGzZg3rx5iI6OBgDk5+fjlVdeqTH0NxEREd28nBrHYvHixUhPT7cXFQAQHR2NSZMmYfHixW4LjoiIiLyLU4VFUVERqqqqaiw3GAy1jshJRERENyenCosePXogIyMD2dnZsFgssFqtyM7OxpQpU9CjRw93x0hERERewqnLTWfNmoWJEydiyJAhkMvlAACr1YqePXti5syZbg2QiIiIvIdThUVERATee+89nDhxAr/99hsAoG3btmjTpo1bgyMiIiLv4lRhcVmbNm1YTBAREVGd6iwsZs6ciXHjxkGtVjd4umPy5MkuD4yIiIi8T52FRW5uLsxms/12XSRJcn1URERE5JXqLCw+/PDDWm8TERER1aXey0137NgBo9HoqViIiIjIy9XbefOZZ56Bn58fkpKS0K1bN6SmpqJTp072S06JiIiIrlRvYbFlyxbs2LEDO3fuRGZmJhYsWICAgAB06dIFqamp6NatGxITE9nPgoiIiAA0UFi0atUKrVq1wuDBgwEAx48fx86dO/Hzzz9j5cqVmD9/PoKDg7Fr1y6PBEtERERNW6PGsWjXrh3CwsIQFhaG4OBgbNy4ERUVFe6KjYiIiLxMg4WFXq/Hrl27sHPnTuzYsQN5eXlISEjAnXfeibfffhtdunTxRJxERETkBeotLB588EGcOnUKiYmJSElJQXp6Ojp37oyAgABPxUdERERepN7LTU+fPo2QkBC0bNkSsbGxaNWqFYsKIiIiqlO9Ryx2796N/fv3Y+fOnfjiiy8wffp0REZGIiUlBXfeeSe6deuG2NhYT8VKRERETVy9hYVSqUTXrl3RtWtX/PWvf4XRaMS+ffuwa9cubNiwAdOnT4dGo8G3337rqXiJiIioCav3VMjVJEmCTCaDJEmQJAlCCJw7d85dsREREZGXqfeIhdlsxoEDB7Bz507s3LkT2dnZqKqqQnR0NLp164ZBgwYhNTW1UTtcvXo1li9fjsLCQrRv3x6vvvoqunbtWmf7Xbt2Ye7cuTh69Ci0Wi2ee+45PPnkk43a5lNPPVVjrI3+/fvjrbfealTsREREVL96C4uUlBRUVVUhKioK3bp1w+TJk5GamoqWLVte0842bdqE2bNnY+rUqejSpQs++ugjjBw5Ehs3bkR0dHSN9nl5eRg1ahQGDRqE119/HXv27MG0adMQERGBfv36NWqbjz76KMaNG2e/7+/vf005EBERUd3qLSwmTZqEbt26oXXr1i7Z2cqVKzFw4ED7SJ4ZGRn48ccfkZmZifHjx9do//HHH0Or1SIjIwOAbYCu/fv3Y8WKFfbCwtltBgQEICoqyiV5EBERUe3q7WPxxBNPuKyoMBqNOHjwINLS0hyWp6WlYd++fbWuk52dXaN9z549kZOTA5PJ1Khtbty4Ed26dcMDDzyAefPmoayszAVZERER0ZUaNaT39dDr9bBYLNBoNA7LIyMjkZWVVes6Op0O3bt3d1im0WhgNpuh1+shhHBqmwMGDEB0dDS0Wi2OHTuG+fPnIzc3FytWrHBRdkRERAR4sLC4kZ544gn77fj4eMTGxuLxxx/HwYMHkZCQ4PR2IiOD3BHeDREVFXyjQ3AJX8kD8J1cfCUPwHdy8ZU8AN/JxVfyqI3HCovw8HDI5XLodDqH5UVFRXX2fdBoNCgqKnJYptPpoFAoEB4eDiFEo7cJAImJiZDL5Th16lSjCouiojJYrcLp9k1VVFQwCgtLb3QY181X8gB8JxdfyQPwnVx8JQ/Ad3LxljxkMumavlA3ahyL66FSqZCQkFDjtEdWVhaSk5NrXScpKanW9omJiVAqlde0TQA4cuQILBYLO3MSERG5mMcKCwAYPnw41q9fj08//RTHjx/HzJkzUVBQgCFDhgAAJkyYgAkTJtjbDxkyBBcuXMCsWbNw/PhxfPrpp1i/fj1GjBjh9DZPnz6NRYsW4ZdffsGZM2fw/fffY+zYsbj99tvRuXNnT6ZPRETk8zzax6J///7Q6/VYsmQJCgoKEBcXh2XLliEmJgYAaoziGRsbi2XLlmHOnDnIzMyEVqtFenq6/VJTZ7apVCqxY8cOfPjhhygvL0eLFi3Qu3dvjBkzBnK53HPJExER3QQkIYT3dxrwEPaxaFp8JQ/Ad3LxlTwA38nFV/IAfCcXb8mjyfexICIiIt/HwoKIiIhchoUFERERuQwLCyIiInIZFhZERETkMiwsiIiIyGVYWBAREZHLsLAgIiIil2FhQURERC7DwoKIiIhchoUFERERuQwLCyIiInIZFhZERETkMiwsiIiIyGVYWBAREZHLsLAgIiIil2FhQURERC7DwoKIiIhchoUFERERuQwLCyIiInIZFhZERETkMiwsiIiIyGVYWBAREZHLsLAgIiIil2FhQURERC7DwoKIiIhchoUFERERuQwLCyIiInIZFhZERETkMiwsiIiIyGVYWBAREZHLsLAgIiIil2FhQURERC7DwoKIiIhchoUFERERuQwLCyIiInIZFhZERETkMiwsiIiIyGVYWBAREZHLsLAgIiIil2FhQURERC7DwoKIiIhchoUFERERuYzHC4vVq1ejT58+uOOOO/Doo49i9+7d9bbftWsXHn30Udxxxx245557kJmZ2ehtGo1GzJgxA926dUNSUhJGjx6N8+fPuzQvIiIi8nBhsWnTJsyePRujR4/Ghg0bkJycjJEjRyI/P7/W9nl5eRg1ahSSk5OxYcMGPP/885g5cyY2b97cqG3OmjULmzdvxptvvonVq1ejvLwczz//PCwWi9tzJiIiupl4tLBYuXIlBg4ciMGDB6Ndu3bIyMhAVFRUrUchAODjjz+GVqtFRkYG2rVrh8GDB+ORRx7BihUrnN5maWkpPvvsM0yYMAFpaWlISEjAa6+9htzcXGRlZXkkbyIiopuFwlM7MhqNOHjwIEaMGOGwPC0tDfv27at1nezsbKSlpTks69mzJzZs2ACTyQQhRIPbzMnJgclkQs+ePe2Pt2jRAu3atcO+ffvQq1cvp3OQySSn2zZ1vpKLr+QB+E4uvpIH4Du5+EoegO/k4g15XGuMHiss9Ho9LBYLNBqNw/LIyMg6jxzodDp0797dYZlGo4HZbIZer4cQosFt6nQ6yOVyhIeH12ij0+kalUN4eGCj2jdlkZFBNzoEl/CVPADfycVX8gB8JxdfyQPwnVx8JY/a8KoQIiIichmPFRbh4eGQy+U1jhIUFRUhKiqq1nU0Gg2Kiooclul0OigUCoSHhzu1TY1GA4vFAr1eX6PN1Uc6iIiI6Pp4rLBQqVRISEiocdojKysLycnJta6TlJRUa/vExEQolUqntnm57fbt2+2Pnz9/HsePH69zv0RERHRt5P/4xz/+4amdBQUFYeHChYiKioK/vz/effdd7N69G7Nnz0ZISAgmTJiAr7/+Gvfddx8AoFWrVnjvvfdQVFSEmJgYfPPNN/jnP/+JSZMm4dZbb3Vqm35+frhw4QJWr16N+Ph4lJaWYsqUKQgODsb//d//QSbj2SAiIiJX8VjnTQDo378/9Ho9lixZgoKCAsTFxWHZsmWIiYkBAJw7d86hfWxsLJYtW4Y5c+YgMzMTWq0W6enp6Nevn9PbBID09HQoFAqMHTsWVVVV6N69O1577TXI5XLPJE5ERHSTkIQQ4kYHQURERL6B5wGIiIjIZVhYEBERkcuwsCAiIiKXYWFBRERELsPCwgmNnerd05YuXYpBgwahc+fOSE1NxejRo3HkyBGHNpMmTUJ8fLzD/8GDBzu0udHTyy9cuLBGjFfOFSOEwMKFC9GzZ0907NgRTz31FI4ePeqwjUuXLuHll19Gly5d0KVLF7z88ssoKSnxWA6X9enTp0Yu8fHxGDVqFICGcwWcy9fVfv75Z4wePRq9evVCfHw81q1b1+iYnHkOcnNzMWzYMHTs2BG9evXCokWL4Op+5PXlYjKZ8Prrr+PBBx9EUlISevbsifHjx9eYafmpp56q8TyNHTu20fm6Kw/Ada/t/Px8jB49GklJSejWrRtmzpwJo9HosjycyaW210x8fDymTZvm8nyvhzPvud70WnE5QfXauHGjuP3228WaNWvEsWPHxPTp00VSUpI4e/bsjQ7NbsSIEWLt2rUiNzdXHD58WLzwwguiR48eQq/X29tMnDhRPPPMM6KgoMD+/8rHhRBiypQpIi0tTWzbtk3k5OSIYcOGiYceekiYzWaP5LFgwQLRr18/hxiLiorsjy9dulQkJSWJ//73vyI3N1e8+OKLIi0tTZSWltrbPPvss6J///5i7969Yu/evaJ///7i+eef90j8VyoqKnLI4+DBgyI+Pl6sW7fOqVyFcC5fV9u6dauYP3+++M9//iM6duwoPvvss0bH1NBzUFpaKnr06CFefPFFkZubK/7zn/+IpKQksXz5co/lUlJSIp555hmxceNGcfz4cbF//37x5JNPij/+8Y/CZDLZ2w0bNkxMmjTJ4XkqKSlx2I+7/+Yaek5c8do2m81iwIABYtiwYSInJ0ds27ZNpKWlienTp7ssD2dyuTKHgoIC8e2334q4uDixc+dOl+Z7vZx5z/Wm14qrsbBowGOPPSbS09Mdlt13333ijTfeuEERNaysrEzcdttt4ptvvrEvmzhxohg1alSd65SUlIiEhATx+eef25fl5+eL+Ph48cMPP7g13ssWLFggHnjggVofs1qtIi0tTbz77rv2ZZWVlSIpKUlkZmYKIYQ4duyYiIuLE7t377a3+fnnn0VcXJw4fvy4e4NvwLvvviu6dOkiKisrhRD15yqEc/m6W1JSksMbv6ueg9WrV4vk5GT770IIIRYvXix69uwprFarR3KpzdGjR0VcXJw4fPiwfdmwYcPEtGnT6lzH039zteXhitf21q1bRXx8vMjPz7e32bBhg0hMTHRbIevMc5Keni769u3rsKwpvpdd/Z7rza8VV+CpkHpcnur96kPU9U313hSUl5fDarUiJCTEYfmePXvQvXt39OvXD5MnT3aYh6Wh6eU9JS8vDz179kSfPn0wduxY5OXlAQDOnDmDwsJCh+fC398fKSkp9vj27dsHtVqNzp0729t06dIFarX6hj5fQgisXbsWDz30EPz9/e3L68oVcC5fT3PVc5CdnY2uXbs6/C569uyJgoICnDlzxkPZ1FRWVgYACA0NdVi+ceNGdOvWDQ888ADmzZtnbwc0nb+5631tZ2dno127dmjRooW9Ta9evWA0GpGTk+OxPK5UXl6OjRs31jjNATS997Kr33N9/bXSEI+OvOltrmWq96Zg1qxZ6NChg8NcKL169cJ9992Hli1b4uzZs3j77bfx5z//GevWrYNKpXLp9PLXqmPHjpgzZw7atm2L4uJiLFmyBEOGDMFXX32FwsJCAKj1uSgoKABgm6AuIiICkiTZH5ckCRERER7LoTbbt2/HmTNnHN4g68s1PDzcqXw9zVXPgU6nQ7NmzRy2cXmbOp0OsbGxbsuhLkajEXPnzsXdd9+N5s2b25cPGDAA0dHR0Gq1OHbsGObPn4/c3FysWLHCHu+N/ptzxWtbp9MhMjLS4fG6Jnn0lK+++gomkwkDBw50WN4U38uufs/15deKM1hY+Jg5c+Zgz549yMzMdBiy/IEHHrDfjo+PR0JCAvr06YOtW7eib9++NyLUGnr37u1wv1OnTrj33nuxYcMGdOrU6QZFdf0++eQT3HHHHbjtttvsy+rLdfjw4Z4O8aZmNpvx8ssvo7S0FEuWLHF47IknnrDfjo+PR2xsLB5//HEcPHgQCQkJng61Vt7w2r4Wn3zyCe655x5EREQ4LG9q+db1nnsz46mQelzLVO830uzZs7Fx40Z88MEHDVayzZo1Q7NmzXDy5EkATXN6+cDAQNx66604efKk/fdd23NxOT6NRoPi4mKHHtNCCBQXF9+wHIqKivDtt9/Wejj3SlfmCsCpfD3NVc+BRqNxOHR95TY9nZvZbMa4ceOQm5uL999/v8a33KslJiZCLpfj1KlTAJrm39y1vLZre07qOmLrCYcOHUJOTk6Drxvgxr6X1fWe64uvlcZgYVGPa5nq/UaZOXOm/Q+8Xbt2DbYvLi5GQUEBtFotgKY5vbzBYMCJEycQFRWFli1bIioqyuG5MBgM2L17tz2+5ORkVFRUOJxH3bdvHyoqKm5YDuvWrYNSqXT4llWbK3MF4FS+nuaq5yApKQm7d++GwWCwt8nKyoJWq0XLli09lI3tktOxY8ciNzcXq1atcurLwpEjR2CxWOxtm+Lf3LW8tpOSknD8+HGHSzK3b98OlUqFxMREzyYAYM2aNWjZsiV69OjRYNsb9V5W33uur71WGsuj06Z7o4amZW8Kpk2bhg0bNuCdd95BixYtUFFRgYqKCgC24qi8vBxvvfUWAgMDYbFYcOjQIUyePBkWiwUZGRlQqVRNYnr5efPmQaVSwWq14uTJk5g+fTpOnTqF6dOnIyQkBGazGcuWLUObNm1gsVgwd+5cFBYWYvr06VCpVIiIiMD+/fvx1VdfoUOHDjh//jymTp1qv4bc04QQePXVV3HXXXfh/vvvb1SukiQ1mK87lJeX4/jx49DpdPj0008RFxeH4OBgmEwmlz0HrVu3xpo1a3Do0CG0bdsWe/bswbx58/D88887dGRzZy4BAQF46aWXcODAASxcuBBBQUH2141cLodCocDp06fx4YcfIiAgACaTCfv27UNGRgZatGiBl156CTKZzCN/c/XlIZPJXPLajo2Nxddff41t27aZpCeUAAAJwklEQVQhPj4eR48exbRp0/DQQw/hvvvuc0keDeUSHBwMAKisrMSkSZMwbNgwpKSk1Fi/KbyXNfSe68zrtym9VlzuRl2O4k3+/e9/i7vvvlskJCSIgQMHil27dt3okBzExcXV+n/BggVCCNtlTiNGjBCpqakiISFB3HXXXWLixIkOl5YJIYTBYBDTp08Xd955p+jYsaN4/vnna7Rxp7///e8iLS1NJCQkiJ49e4oxY8aIo0eP2h+3Wq1iwYIFIi0tTSQmJoqhQ4eK3Nxch21cvHhRjB8/XiQnJ4vk5GQxfvx4cenSJY/lcKWffvpJxMXFif3799d4rKFchXAuX1fbsWNHrX9LEydOdDomZ56Dw4cPiz/96U8iMTFRpKWliYULF7r88rn6csnLy6vzdXP5Esj8/HwxdOhQceedd4qEhARx7733ihkzZtQYM8Hdf3P15eHK1/bZs2fFqFGjRMeOHcWdd94pZsyYIQwGg8vyaCiXy9auXSs6dOggzp8/X2P9pvJe1tB7rhDe9VpxNU6bTkRERC7DPhZERETkMiwsiIiIyGVYWBAREZHLsLAgIiIil2FhQURERC7DwoKIiIhchoUFEdn16dMHy5cvv9FheNTNmDORO3ESMqKbRHFxMRYsWIAffvgBBQUFCAkJQfv27TFq1CiH6Z2v18KFC7F582Z89dVXLtumO61duxYBAQEu295TTz2F9u3bY8qUKS7bJpE3YWFBdJP429/+hsrKSsyaNQutWrVCUVERfv75Z1y8ePFGh3ZDXT17JhFdH468SXQTKCkpQUpKClauXFnvxE59+vTBY489hvPnz+Orr75CUFAQnn76aTz33HP2Nvn5+Zg1a5Z9gqW0tDRMnjwZzZs3x7p16/DKK684bHPOnDl49NFH8fHHH2PlypXIz8+HWq1GYmIili5dCoWi9u83b7zxBr7++mucO3cOGo0G999/P1566SX4+fnZ2yxduhQffPABKisrcd9996FVq1ZYt24dvv32WwDAgQMH8Pbbb+PgwYMwmUyIj4/HhAkTHCaj6tOnD4YOHYpnn30WgG0q7unTp2P79u344YcfEBkZiRdffBEPP/ywfZ1Fixbhs88+Q2FhIUJDQ5GWlobXXnsNkyZNwvr16x3y+Oabb5r0hFFErsYjFkQ3AbVaDbVajW+//RZdunRx+HC+2gcffIC//e1vWL9+PX744QfMnDkTXbp0QXJyMqxWK1544QX4+/tj1apVAIAZM2bghRdewGeffYb+/fvj6NGj+O677/Dhhx8CAIKDg/HLL79g+vTpmDt3Lrp06YLS0lLs2LGj3pgDAgIwe/ZsNGvWDMePH8fUqVOhUqnw97//HQCwceNGLFq0CFOmTEHXrl2xZcsWLFu2DKGhofZtlJeX46GHHkJ6ejoAYPXq1Rg1ahS2bNlS7xTpixcvxvjx4zF+/HisXbsW6enpSElJQXR0NDZv3owVK1bgzTffRFxcHIqKirB//34AQHp6Ok6ePIk2bdpg3LhxAHhEhG5CN3aqEiLylP/+978iJSVFJCYmisGDB4u5c+eK7OxshzZ33323GDt2rMOy++67TyxevFgIIcS2bdvEbbfdJvLy8uyPnz59WsTHx4vt27cLIYRYsGCBeOCBBxy2sXnzZtG5c2dRWlp6zfF/9NFH4t5777XfHzx4sMjIyHBoM3z4cHH33XfXuQ2r1SrS0tLEhg0b7Mvuvvtu8a9//ct+Py7u/9u7v5Cm3jiO4++VQ3DDoouZhn9q9hsErQKD1AkjUQvrxgq6EIlCMJT+CmXghTEMqaAwrEiEvMmLyNhNkglBdSGUFSu6yCKmGJomBG3H6fR3ERxaqb+K/Yja53V3zvk+5/lzs++e5znn/DN37tw583h6enrO7XabZTo6OuZKS0vnIpHIvHVUVlbONTU1/VznRP4imrEQSRBlZWV4vV4eP37M06dPefjwIR0dHRw9epSamhozzuVyxZRzOBx8/PgRgDdv3uBwOGKm9jMzM3E4HAwODi64zFJQUEBGRgbFxcV4PB48Hg8lJSXY7fYF29vT08P169cJBoOEQiGi0Sizs7Pm9bdv37Jnz56YMm63m3fv3pnHExMTXLx4kf7+fsbHx5mdncUwDN6/f7/oWH09BklJSaxYscIcg23bttHZ2Wn2paioiOLi4v/tU/Yifxo9biqSQJKTkyksLKSuro6uri52797NpUuXiEQiZsy3ex4sFkvMD/pCLBbLgtfsdjvd3d1cuHCBjIwMrl69yvbt2xkdHZ03/tmzZxw7dgyPx8Ply5fp7u7myJEjTE9P/2BPvzhx4gSBQICGhga6urq4ffs2K1eu/M/7LDYG6enp9PT0cPr0aex2Oy0tLVRUVBAKhX6qbSJ/KyUWIgksNzeXmZmZmMRiMU6nk7GxMYaHh81zQ0NDjI2NkZubC4DVaiUajX5XNikpifz8fI4fP47f7yccDnP//v156xkYGCAtLY3a2lrcbjc5OTmMjIzExKxZs4ZAIBBz7tvjJ0+eUFlZidfrZe3atdhsNj58+PBDfV1McnIyXq+XU6dOcfPmTV6/fs3AwACwcP9FEoWWQkQSwOTkJIcPH2bXrl24XC5sNhsvXrygvb2d/Pz8RZckvlZQUIDL5aK+vt7cEOnz+Vi3bh1btmwBYNWqVYyMjPDy5UvS09Ox2+08evSIYDDI5s2bWbZsGf39/Xz+/Bmn0zlvPTk5OYyOjuL3+9m0aRMPHjz47r0YVVVVNDQ0sH79evLy8ujt7eX58+ekpqaaMatXr8bv97NhwwZCoRBnz57FarX+yhCabt26RTQaxe12k5KSwp07d7BarWRnZ5v9DwQCDA8Pk5KSwvLly1myRP/hJHEosRBJADabjY0bN9LZ2UkwGCQSiZCWlsaOHTs4ePDgD9/HYrHQ1taGz+ejqqoK+JJsNDY2mkshZWVl9Pb2sm/fPj59+sSZM2fIysri3r17tLW1EQ6HycrKwufzkZeXN289W7du5cCBAzQ3NzM1NUVhYSGHDh2iqanJjCkvL2doaIjz589jGAYlJSXs3buXvr4+M6a5uZnGxkYqKipwOBzU1dUxOTn5K0NoSk1N5dq1a7S0tDAzM4PT6aS1tZXMzEwA9u/fz8mTJykvL8cwDD1uKglH77EQkb9GbW0t0WiUK1eu/O6miCQszViIyB8pHA5z48YNioqKWLp0KXfv3qWvr4/W1tbf3TSRhKYZCxH5IxmGQU1NDa9evcIwDLKzs6murmbnzp2/u2kiCU2JhYiIiMSNtiqLiIhI3CixEBERkbhRYiEiIiJxo8RCRERE4kaJhYiIiMSNEgsRERGJm38BhfQZYllXv2IAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ax.figure"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"The code in the following cell converts this notebook to an HTML slideshow powered by [reveal.js](http://lab.hakim.se/reveal-js/)."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"scrolled": false,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"[NbConvertApp] Converting notebook ./Probabilistic Programming for Sports Analytics.ipynb to slides\n",
"[NbConvertApp] Writing 709699 bytes to ./pp-sports-analytics-part-1.slides.html\n"
]
}
],
"source": [
"%%bash\n",
"jupyter nbconvert \\\n",
" --to=slides \\\n",
" --reveal-prefix=https://cdnjs.cloudflare.com/ajax/libs/reveal.js/3.2.0/ \\\n",
" --output=pp-sports-analytics-part-1 \\\n",
" ./Probabilistic\\ Programming\\ for\\ Sports\\ Analytics.ipynb"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"celltoolbar": "Slideshow",
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.7"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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