{ "cells": [ { "cell_type": "markdown", "id": "f6132b39", "metadata": {}, "source": [ "# 比率のP値函数達\n", "\n", "* 黒木玄\n", "* 2022-09-08~2022-11-24\n", "* Copyright 2022 Gen Kuroki\n", "* License: https://opensource.org/licenses/MIT\n", "* [nbviewer版](https://nbviewer.org/github/genkuroki/public/blob/main/0036/P-value%20functions%20of%20proportions.ipynb)\n", "* [repository版](https://github.com/genkuroki/public/blob/main/0036/P-value%20functions%20of%20proportions.ipynb)\n", "* [ダウンロードPDF](https://github.com/genkuroki/public/raw/main/0036/P-value%20functions%20of%20proportions.pdf)\n", "* [PDF版(repository)](https://github.com/genkuroki/public/blob/main/0036/P-value%20functions%20of%20proportions.pdf)\n", "$\n", "\\newcommand\\ds{\\displaystyle}\n", "\\newcommand\\op[1]{{\\operatorname{#1}}}\n", "\\newcommand\\R{{\\mathbb R}}\n", "\\newcommand\\pdf{\\op{pdf}}\n", "\\newcommand\\cdf{\\op{cdf}}\n", "\\newcommand\\ccdf{\\op{ccdf}}\n", "\\newcommand\\quantile{\\op{quantile}}\n", "\\newcommand\\cquantile{\\op{cquantile}}\n", "\\newcommand\\pvalue{\\op{pvalue}}\n", "\\newcommand\\confint{\\op{confint}}\n", "\\newcommand\\credint{\\op{credint}}\n", "\\newcommand\\phat{{\\hat p}}\n", "$\n", "\n", "このノートでは事象 $A$ の確率を $P(A)$ と表し, 確率変数 $X$ の函数 $f(X)$ の期待値を $E[f(X)]$ と表す.\n", "\n", "__予備知識:__ 二項分布, 正規分布, ベータ分布などの確率分布, P値と信頼区間.\n", "\n", "__終わりの方で必要になる追加の予備知識:__ 二項分布モデルのベイズ統計.\n", "\n", "__想定読者:__\n", "\n", "* すでに統計学入門を学習済みだが, P値や信頼区間について明瞭なイメージをまだ持てていない人達.\n", "* 比率に関するP値と信頼区間の複数の定義について正確な知識を得たい人達.\n", "* P値と信頼区間のあいだの表裏一体性について理解したい人達.\n", "* P値と信頼区間に関する __データの数値と統計モデルのcompatibility__ という解釈について知りたい人達.\n", "* P値と使う統計学とベイズ統計が水と油では __ない__ ことを具体的計算で納得したい人達." ] }, { "cell_type": "markdown", "id": "26fbb11d", "metadata": { "toc": true }, "source": [ "

目次

\n", "
" ] }, { "cell_type": "code", "execution_count": 1, "id": "42544758", "metadata": {}, "outputs": [], "source": [ "using Printf\n", "\n", "using Distributions\n", "using StatsPlots\n", "default(fmt=:png, size=(500, 300),\n", " titlefontsize=10, tickfontsize=6, guidefontsize=9,\n", " plot_titlefontsize=10)\n", "\n", "# Sterneの信頼区間の定義で使用\n", "using Roots\n", "using StatsFuns: logit\n", "\n", "# highest density interval (HDI) の構成で使用\n", "using Optim" ] }, { "cell_type": "markdown", "id": "0ccc9fc4", "metadata": {}, "source": [ "## データと統計モデルの設定\n", "\n", "当たりまたは外れの目が出るルーレットを $n$ 回まわしたとき当たりが $k$ 回出たと仮定する.\n", "\n", "このとき「$n$ 回中当たりが $k$ 回」をこのルーレットに関するデータと呼ぶ.\n", "\n", "そのデータの確率的揺らぎのモデルとして, 二項分布を考える.\n", "\n", "すなわち, 次の確率質量函数で定義される $k$ に関する確率分布を考える:\n", "\n", "$$\n", "P(k|n,p) = \\binom{n}{k} p^k (1-p)^{n-k} \\quad (k=0,1,\\ldots,n).\n", "$$\n", "\n", "ここで, $0\\le p\\le 1$ であり, $\\ds\\binom{n}{k}$ は次で定義される二項係数である:\n", "\n", "$$\n", "\\binom{n}{k} = \\frac{n(n-1)\\cdots(n-k+1)}{k!} = \\frac{n!}{k!(n-k)!}.\n", "$$" ] }, { "cell_type": "markdown", "id": "2ba4581d", "metadata": {}, "source": [ "## P値函数と信頼区間の一般論\n", "\n", "以下では具体的な数値 $p_0$ に関する仮説「当たりが出る確率は $p$ である」と「$n$ 回中当たりが $k$ 回」というデータの __両立性__ (compatibility)もしくは __整合性__ (consistency)の指標の1つである(両側検定の) __P値__ (P-value)を複数定義して比較してみる.\n", "\n", "以下ではそのP値を $\\pvalue(k|n,p=p_0)$ のように書くことにする.\n", "\n", "データ「$n$ 回中当たりが $k$ 回」が与えられたときに, パラメータ値 $p$ に $\\pvalue(k|n,p=p_0)$ を対応させる函数\n", "\n", "$$\n", "p \\mapsto \\pvalue(k|n,p)\n", "$$\n", "\n", "をデータ「$n$ 回中当たりが $k$ 回」に関する __P値函数__ (P-value function)と呼ぶ.\n", "\n", "P値函数のグラフは, 与えられたデータとパラメータ値 $p$ の両立性の様子の全体の視覚化になっている.\n", "\n", "$0\\le\\alpha\\le 1$ と仮定する. $\\alpha$ は __有意水準__ (significance level)と呼ばれる.\n", "\n", "データ「$n$ 回中当たりが $k$ 回」のP値函数が与えられたとき, パラメータ $p$ に関する __信頼度__ (confidence level) $1-\\alpha$ の __信頼区間__ (confidence interval)が次によって定義される:\n", "\n", "$$\n", "\\confint(k|n,\\alpha) = \\{\\,p\\mid \\pvalue(k|n,p) \\ge \\alpha\\,\\}.\n", "$$\n", "\n", "すなわち, データ「$n$ 回中当たりが $k$ 回」に関するパラメータ $p$ の信頼度 $1-\\alpha$ の信頼区間は, データの数値とパラメータ値 $p$ の両立性の指標であるP値が最初に決めておいた閾値 $\\alpha$ 以上になるような値 $p=p_0$ 全体の集合である.\n", "\n", "この集合が区間にならない場合には, この集合を含む最小の区間を信頼区間と定義することもある." ] }, { "cell_type": "markdown", "id": "764dae73", "metadata": {}, "source": [ "## 累積分布函数 cdf と分位点函数 quantile\n", "\n", "確率分布 $D$ に従う確率変数 $X$ に対して, $x\\in\\R$ の函数\n", "\n", "$$\n", "\\cdf(D, x) = P(X\\le x)\n", "$$\n", "\n", "を分布 $D$ の __累積分布函数__ (cumulative distribution function, __cdf__)と呼ぶ.\n", "\n", "例えば, 試行回数 $n$, 成功確率 $p$ の二項分布 $\\op{Binomial}(n,p)$ の累積分布函数は次のように表される:\n", "\n", "$$\n", "\\cdf(\\op{Binomial}(n,p), x) = \\sum_{k\\le x}\\binom{n}{k}p^k(1-p)^{n-k}.\n", "$$\n", "\n", "例えば, 平均 $\\mu$, 標準偏差 $\\sigma$ の正規分布 $\\op{Normal}(\\mu,\\sigma)$ の累積分布函数は次のように表される:\n", "\n", "$$\n", "\\cdf(\\op{Normal}(\\mu,\\sigma), x) =\n", "\\frac{1}{\\sqrt{2\\pi\\sigma^2}}\\int_{-\\infty}^t \\exp\\left(-\\frac{(x-\\mu)^2}{2\\sigma^2}\\right)\\,dt.\n", "$$\n", "\n", "もしも, 累積分布函数 $p = \\cdf(D,x)$ の逆函数が存在するならば, それを\n", "\n", "$$\n", "x = \\quantile(D, p)\n", "$$\n", "\n", "と表し, 分布 $D$ の __分位点函数__ (quantile function)と呼ぶ.\n", "\n", "例えば, 正規分布の累積分布函数は狭義単調増加函数なので, 分位点函数 $x = \\quantile(\\op{Normal}(\\mu,\\sigma),p)$ が定義される.\n", "\n", "累積分布函数の逆函数が存在しない場合にも, その代わりとなる便利な函数が定義可能な場合には, それも分位点函数と呼び, 同じ記号で表す." ] }, { "cell_type": "code", "execution_count": 2, "id": "1de45a57", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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OTk4AMG/evDJn4kLAKpVKrVYLdYSrqyt//Y2XlpbGL6ziv65MXl4ey7LV+SVTSmfNmvXgwYMrV65YW1sbvpWfny+Xyw0b5ci0OI6bPHmyWq0+c+ZM+eOTd/v27enTp1dWwtWrV8ufp5b5oXEcJ4wj5w9sajBK1fBnOHPmTJZl09PT+by7dOnSiIgI4V3DH0jtqNVqW1vbMh2DhWKr+Ml37tx54sSJ77///meffSYslMlkZXr163S6Gv3ky7zkcRw3duzYCRMmXLhwwcbGBgCGDh1a4UB8R0dHwyHLCoXC3t5erJ98fn4+X+FUh+HnwH+hhpV5jYoSFybgSl27do1Syv8gb9++rVary58wAkCnTp3CwsIqLKHCfMCyrJ+f35kzZ954440yb7Vv395wDHuZ8exl+Pv7V5jneIsXL/7f//5neH21ffv2lNLLly8LWfnSpUv8JTVjcBx38+bNHTt28Ecwv4sKWyp84/vJkydCKzwoKGjPnj0cx/FVzMmTJyUSSffu3WsRxuPHjzt06FCddswnn3wSERFx/vz58ufsjx498vf3rzB4ZBILFy68dOnS5cuXHRwcKlvHxcWlsh8gVHIJuswP7dq1a0L+kEgkjo6OhuNebt++LRwS165d+/LLL4VW76VLl6rzX8jlcpZlqzM0qFu3brm5uRYWFvxtnTL8/f0fP35c2barV69u3779zp07hSXt2rVLTU1NTExs3bo1ABBCLl++3Ldv3+rEXIWEhISsrKyZM2fy2VelUt26dev555+vMOC0tLSioiJ+TQDo0aPHiRMnVqxYwb88efKkk5OTt7d3LcJ4+PBh1dcIDV29evX1118X/lYoFELjPjs7Oy8vr/pFicwkd57NX58+feRy+fLly0tKSpKSknr16tW9e/equ8tX37Zt2xiGWbt2bUFBgUajuXDhwp07dyilp0+fZhhm48aNGo3mwYMH/DFRWSesiIgIuVxuOF6C74QlvPz000/5xMZ3wiKEdOvWzd/f/+HDhyqVasOGDQzD7Nixg1+5Xbt2Ql8PSil/kijsmv9AFixYILxcunRp165d+b99fHzGjh1bVFRUVFT0/vvvKxSKwMBA/i3DTlh6vd7Jyenbb78VComOjpbL5XPnzi0tLb1586aTk9PUqVOFd0ePHj1t2jThZVRU1KlTp0aMGOHm5nbq1KlTp04Zjg3r16/f/PnzhZd9+/ZduHBh+U9+7969DMN888035YchUUp79Ojx7rvvlt8KmcSmTZtYlt2+fbvow5Bu3rzJ/wD5UbNBQUESiYTvhEUpHTNmTMeOHWNjYwsKClatWqVUKoVOWAEBAUOHDi0oKCguLl65cqVSqRS6BPK9oIVdcBwHAHv37uVfenl5TZ069d69e/wwpMo6YWm12s6dO3fu3Pnq1as6na6goODkyZM//fQTX8inn35quAuhE5awJCwsjP/J852wCgsLXV1dBw0alJqaWlhYuHjxYpZlhYGLEolk586dwrZ8Jyy+pxKvefPm33zzjfBywoQJfN+lkpISS0vLBQsWaDSanJycKVOmKJXKSZMm8asZdsLKzMyUSCSGjwY6duwYAHz66adarfbo0aNKpdKw2gkICPjggw/4v0tLS/mfeUBAQM+ePfm/NRoN/y4hxNXV9euvv+ZfarVaLy+vL7/8ssKvm2EYGxubPXv26HS6q1evurq6GvZlO3jwoEKhePr0aYXb1jVMwBXr06fP7Nmz+WG1AODv7284tM54mzZt4js7sCzr7Ox87tw5fvmaNWuUSqVEIrGzs+PHzAidJ8ePHz9v3jyhBI1G06JFCyGDUkr9/f0//vhj4WVpaWn79u0dHBxOnjzJL0lMTOzfvz8A8Eek4fi8oKAgwwdUabVaw11TSocMGWKY3T/++OP+/fvzf585c4bvaiGVSseOHbt48eIBAwbwb61bt45vefMWLVo0aNAgw89h//79fC8VlmXHjh3Lj8XktWvXbvr06cJLZ2dnh38TqpLU1FSJRML356SU8jeS/+///q/8x7506dIyhQg1Gt9H7O7du+W3QiYxe/bsMl+WcGJnvA0bNlhZWUkkEisrq++//14YhkQpffLkCd8AZRjm5Zdffuedd4YOHcq/denSJTc3N4ZhpFLp8OHDly9fHhQUxL/11Vdf8TcXeRzHOTg48B2tKaUnT54MDAx0dHR0cHAoLS29ceOGhYUFfz6RkZFhYWFx6dIlfs309PSxY8dKpVL+8q+rq+uGDRuEt2QymTBCV61WOzg4bN26Vdhpamqqi4uLg4ODMKjm1q1b/AUnhmGaN2++fft2YWUnJyfh/IBS+ujRIwcHB8MhQ76+vobZffr06a+++ir/944dO2xsbKRSqUwmmzt37tSpU4W2wbx58/hxkrxRo0a9/vrrhp/8119/zTeIZTLZG2+8wffQppRqtVqlUil0dE9ISHAoh+9VTik9d+6cQqHgO2xTSnNycgDgu+++oxXhh4T5+/vzlfmIESMM0+3kyZNfeeWVCjesB5iAK9anTx9+hExmZqbhoDER6fX6+Pj4lJQU4RDkFRUV8SPin1nCqlWrnnvuuZruNzMzMyYmpsxodCPp9frExES+l2MV4uPjLS0ty5zK6HS6+Pj4MttmZmZKpdL79+9XZ+8ffvih4dj/O3fuKJXKMo8deKalS5cKgylRU1BSUhIbG8uPUzJMwLzU1NTs7OzyW3Ecl5SUVOFbIuKfGCPkG8Frr71meBmsmlJSUuLi4srUM0bSaDRxcXGGZ8wVOn/+vL29fZmn62g0mtjY2DKNzosXL9rZ2T2zDuFNnjzZMK/v37+/ZcuW/Nit8oQBpUlJSRkZGYZvZWVlWVtbV/OBHnUBE3DFhARszkpLSzt06PD777+bOpAaWLZs2ZtvvvnM1W7cuLFy5crqFFhUVOTl5cWPVuSdPn3a8NJZdRQUFLRu3drw9B81KeUTsHlKTU11d3cX94lgde2VV14xvLpWmSNHjvzwww/VKTAuLs7Dw8Mwle7YsWPPnj2VrS8k4PJWrFhR5kHT9YyhOANMRYKDg3v06LFu3TpTB4IQqnO2trZfffXVa6+9ZupAkPhYlt25cyf/UAdzgwm4YkVFRRKJpJpPdUAINWgFBQWWlpYVjjNEDV1+fr6VlZV5frmYgBFCCCETwOkIEUIIIRPABIwQQgiZACZghBBCyAQwASOEEEImgAkYIYQQMgFzScA6ne6TTz4xpoQKp+MwkuhdxDFIsTTZIM3Txo0bDScwEIj1kfJPLRClKBG/FBGLwg+qnosykw/KXBJwYWHhV199ZUwJok/oyHEc/7hzEdVFkCqVStwyRQ+SENIggiwtLRW3TFNNMlr/du7cGRsbW2ahiN+7RqPhpzcwnohfilhFUUrFOva0Wm2ZKQhrzQw/KAAQ64PS6XTVmZ+qOowJyVwSMEIIIdSkYAJGCCGETKCeEnBBQUH97AghhBBqEERLwAsWLPDz8xs3blyZ5SqVasSIEXPnzu3Xr19qaqpYu0MIIYQaNNES8Nq1a3ft2lV++a5du4KCgnbs2LFgwYIvvvhCrN0hhBBCDZpUrIIUCkWFy//444+RI0cCQK9evdavX19FCXq9PioqSnjZtm1bDw8PscJDqEYKtEAp6CkU6f4aq0AoPNVWvDJHobCit0pLWcvCag11cFBAoBNTy1gRQg2TaAm4MiUlJUqlEgAsLCyq6Iyu1+tLS0tXr14tLBk9evTMmTNrtCOGEbMK4zhOq9WKNfiBVxdBajQaccebih4kIUStVps2SA0H6WomrZRJKoEsNZOvhUIdU6hjCrT07z+gWC9TcToNBwBgK6MsA1IGrP/+ibAM2FUyoRkL1LaitziOkUgqSdr/5moB3/UsOyiCZVmcEBOhRqzOE7Cbm1tKSgoAJCcnu7u7VxqHVGpra3vmzJla74hSam1tXevNy+MTsIWFhYhl1kWQMplM3Gpa9CAJIVKptD6D5CjczqV/5NAHBfR+AX1YABkq2tKScbMCdyvG1RLsLZjW9mAnB3s52MkZOznYSomc0zjZWiokogVZVFRkY1P9/7ria0gIocZKtAR8//79q1evZmVlRUVF9e3bt7S09Ouvv/7oo48mTZo0d+7crl27fvbZZ5MnTxZrdwiVwVG4lEnPpdOLmeRKFvWwZoKcmA4OzOBWbAd7aGPzjPYyIYxKRUXMvgghVDXREnBiYmJ+fv7IkSNv3rzZo0cPmUzWunVrAPD391+5cuWWLVvGjRtXvo80QkaiAJcy6e5YsieeuFkxA1syc/3YXc+zDtieRAiZN9ES8LBhw4YNG2a45LXXXuP/6NevX79+/cTaEUK89FLYcJ/bFkNtZfCSN/v7SKm3LfZjEt+9e/fGjRu3d+/ezp07mzoWhBqVOr8HjJDo4ovo8muyo2m6V7zZo0MkHR0w79YVjuP+85//eHp6ajQaU8eCUGODCRg1JHkaWH6T+yWOzPahsZNk9pV0S0Zi+eyzz1577bWdO3dWvZper09LS4uLi+NfWllZtWjRou6jQ6hhwwSMGgYK8OMjsuwGN9GTfRQqk2nVNph969jjx48fPnz43nvvPTMBJyUlLViwQHgYgI+PT0REhIjDz9RqtVQqlUpFqK9EHGUnVlGUUpVKJcrseBqNhmVZmUxmfFFm+EGBeBMrabVaAJDLRahEKgtJqVQ+84jFBIwagJQSOvM8l6eBU8OknZsxAFBUreG1yCjr169PTEycOHHilStXli5dumPHjsratV5eXuHh4cHBwYYLRRx+Jv2b8UWJOMpOrKIopSzLWllZGV+UTCYTKwGb4QfFE6UoERMwGBESJmBk7k6k0FfP6ef6SZZ0YaU4fVc9WrNmDX/rd8aMGW+99Zazs7OpI0KoUcEEjMzaqttk0wOye6C0vyv2tKpvlpaWfPt12LBhXl5eLIunPwiJCRMwMlM6Aq9f5O7m0xtjpC5iPo4M1dicOXNMHQJCjRAmYGSOVHoYf1ovY5nfRkit8CBFCDVGeE0JmR2VHkaf0jdTMPsHSzD7IoTMWWopcLXtwI4JGJkXDQejT+ldLJif+0skeNsXIWTeZl+RXc2qZQbGBIzMCKHw6nnOTs5sweyLEGoIdARqPYIbL/AhM/J/17i0EnpimBSzL0KoQaAAta6uMAEjc/HDI3Ismf4+UqrEOQERQg0EpVDrx3xhAkZm4WoWXXqdOx8ixWkEEUINiDEtYLwHjEwvRw2hp7nNz0k62OOlZ4RQU4EJGJkYBZhxnnvZmxnpgUcjQqiBIRRYk1+CJoTs27cvLy9v4sSJDg4Ohm9dvnz52rVrwcHB3bt3F2t3qNHYcJ+kldK9g/FuCEKo4aHA1DoBi9bmWLZs2e3bt+3t7UeNGmU4r9bRo0c/+uijgICATz755Ny5c2LtDjUOj57SFX9wuwdK5Nj6RQg1QGbRC3rv3r0PHz6USCQRERHXr1/v0aMHv/zQoUOLFi3q378/AHz77bf8HwgBAKEw+wL3YTeJjy3e+kUINUgchVoPmxQnAT99+tTGxkYikQCAl5dXQkKCkIBbtWr14MGDIUOG3L9/Py4urrIS9Hp9SUnJzJkzhSUDBgwYP3589WNQqVR8AGLhOE6r1YoyS7agLoLkJ4wTkehB8hOzl1++8RGr1bPTW2tLS2tcZl0EqVKpxJo2nGdkkAzDWFjgNBQImTXT3wOWy+V6vZ7/W6fTKRT/DCWZP3/+66+/Pnbs2ObNm1cx4zQ/23ZQUJCwpFOnToblPJNWq63R+s/EcRzDMOKWWRdBAoCZB0kIoZSWKTOlhIZH0/PDGQtlbfZVF0ESQsz8k0QImRs9gVrPUy5OArawsCCElJSUWFlZ3blzx3DyMjs7u127dgHATz/95OrqWkUhCoXi9ddfr3UMEolE3CZRXZTZNINkGKZ8mf93nZvrx3RoVssd1U+QRqqLrxshZFaIEX2pRLsHvHTp0rFjx3p5ebVq1crX1zc3N7d///737t27e/fu+vXrJRLJ48eP9+7dK9buUHKCF+MAACAASURBVIN2Oo1ey6Y/9ceezwihhs30LWAAmDx58qBBgwoLC319fQHAwcHh9OnTANCpU6eFCxcCQNu2bVkWu7oi0BN46xL3dW/WEvMvQqiBM30nLJ6Li4uLiwv/N8uyLVq04P9u3769iHtBDd33j4iLBYxqjWdjCKEGT08ZmclbwAhVR7EOVt4ih1/EO6MIocZAR6istt2gsRWC6tXaO9zgVkw3Jxz4ixBqDLQEav0cIWwBo/qTrYaN98mtcXjUIYQaCR2BWl+CxhYwqj/hf3Kv+LDuVtj8bTBCQkIGDRrUq1evn3/+2dSxIGSOtIRR1PaWGrZFUD3JUMGWx+QONn8blEOHDrEsW1JS4u/vP336dFOHg5B54SgQWvsWMNaGqJ6s+ZOb7su2wuZvg8IwzI0bN27dutWrV68qVtPr9WlpacKzZq2srIRBEAg1YmoOFGztH1eMCRjVh2w1s+0JiZ4gM3UgqGYopXv37o2Pj696MGFiYuKCBQuE5256eHhERkbyzwAnhBgfhlqt5p9Wa3xRJSUlYj3xW6yiKKUqlUqUx85rNBqWZWUyEX5oZvhB8UWJUo5WqwUAuVxuZDk5GkYpkRYXF5d/S6lUPvOIxQSM6sOGR8wkL9YFZxZoaFiWXbNmDQB07dr1rbfecnJyqnA1b2/v8PDw4OBgw4WEEKlUamlpaXwY0r8ZXxSl1Nra2vhyRCyKUsqybBWPyq8+mUwmVgI2ww+KJ0pRYiXgXKDWMn2tQ8JOWKjOFepgcwy7qBMebA1MYWHhrVu3VCrV9evXS0tL7e3tTR0RQualRA+WErwEjczYdw/pYFeKk/42OJTSH3/8MT4+3s3Nbf/+/aI0QBFqTAq1YC3DBIzMlY7A+vt0b38RbgSiemZnZ7d+/XpTR4GQ+SrSga0R1/vxqiCqW7/Gkba2tJO9CB1MEELIrDzVUhtMwMhsfR1NFnbCJz8jhBqhfA3YG3EJGhMwqkMXMmi+Foa2MnUcCCFUB7LV4KjABIzM0vr7ZEFHtrYzhSCEkFnL1dBmitpvjgkY1ZX0UohKJVN98RhDCDVOmSpwUZpBCzg+Pn78+PEhISEnT540XK5SqcLCwkaNGhUaGpqUlCTW7pD5+99D8pI3a0wXQYQQMmcZpbS5svabi5aAZ82a9eGHH+7atevdd981fFrYjh077OzsDh06FBoaumrVKrF2h8ycnsAPj8jr7bH5ixBqtFJKoJWlqVvAWq02NTW1c+fONjY2PXv2vHr1qvBWmzZt0tPTCwoKEhISvLy8RNkdMn8HE4mXDXRqhrd/EUKNEwVILqGtjHjWqjgP4sjLyxMeU+fo6JiTkyO8FRgY+N///nfKlCmZmZlbt26trAS9Xp+Xl2f4wO5FixZ9/PHH1Y9BxOd98ziO02q1HMeJWGZdBKnRaER53r1AlCC/vS971ZMrLlYDgIgP5ReI/knyQYryQHyBkUGyLCvKg5QRQnUhUwVWUrCSmvpJWM2aNXv69Cn/d15enqOjo/DW2rVrp02bNn369Pv378+fP//UqVMVxyGVNmvWzDBz15S4z/uGvxOwhYWYEwjURZAymUzcatr4IFNK6J/5+sNDFUoJgKgP5ReI/kkSQiQSiSgPxBeIHiRCyHw8eWrsE3bFuQQtl8tdXFyio6OLi4uvXr3as2dPtVodGRkJAAqFIjc3FwBycnKMn3oCNQg/PqIve7NKfPwGQqjxelJIfe2MSsCiPQv6+++//7//+z+NRrNmzRpra+u8vLyIiIgRI0YsWLDg7bffHjlypFQq/fzzz8XaHTJbhMKWx+TAC5h+EUKNWXQ+7ehgHgnYx8cnIiJCeNmsWbMffvgBABwcHH7++Wex9oLMX1QadVZCgCN2v0IINWZ38+hgf6OuIuMoESSyzY/IzHZ4XCGEGjMK8EcO7epkBveAEeIV6uBECgn1wuMKIdSYxRZSKxnjYlwnXawokZh+iSWDW7GORjwcFSGEzN+lTNq7ubE32jABIzFtiyFTffDuL0KokYtKpQNbYgJGZiOxmD4ooEPd8aBCCDVmFCAqjbzQChMwMhtbn9CXvVk5HlMIoUbtz1xqK2M8bTABI7OxI4ZM8cEjCiHUyO2NJ2PaiHCvDatLJI6bOVRPIcgZbwAjhBq5fQk01FOE7IkJGIljdyx52VvU6RGQGZg8eXL//v379Onz448/mjoWhMzC1SxKKAQaNwKYJ9qTsFBTRgH2xNPIIfj4ycZm5cqVnp6eKpWqQ4cOr7zyirhzkyDUEH0v3rOGMAEjEVzMoHZyMPKxqMgMeXp6wt+TblUxmYper09LS4uLi+NfOjg4ODg41FOICNWjXA3sTyAPJshEKQ0TMBLBrljysjfezmicOI6bNWvWihUrJJJKr3AkJiYuWLBAofjrCSweHh6RkZEizgOtVqulUqlUKkJ9JeJM0mIVRSlVqVSizEWt0WhYlpXJREgPZvhB8UWJUo5WqwWAWkzQ92W0dGQrsOI0xcXPCEmpVD7ziMUEjIzFUdiXQC6PwmOpESKEzJ49u2/fvi+//HIVq3l7e4eHhwcHB5fZVqx5oKV/M74oESdpFqsoSinLsqLMRS2TycRKwGb4QfFEKap2CbhQB/+L0Z0PkVpbK0UJCVstyFhn06mHFeNl9JA4ZIbeeOMNa2vr4cOHx8XF6XQ6U4eDkCmtu0uGtGLbGTcHsCFstSBj7Y3H2RcaLZZlNRpNeHg4AKxatcrJycnUESFkGmml9Jto7sYYMZMmJmBkFELhYCK5EIIHUuO0adMmU4eAkFl49yoJ68C2EfVSn5j1ZmFhYXp6uq+vL8v+0x4qLi7Oysri/5bL5W5ubiLuEZncuQzqasl42+L1Z4RQo3UsmV7Lpj/2E7mlIVpxFy9efO+994KCgh4/fnzkyBEhB9+5c+fLL78EgLS0NCsrqxMnToi1R2QO9sYTUZ4IgxBC5ilHDWEXua0DJBZiX+kTrbwVK1Zs2bKlbdu2YWFhUVFRL774Ir+8T58+ffr0AYCFCxcGBQWJtTtkDgiFiARybgRef0YINU4UYNYF7hUfZoCr+Nf5RKs6Y2Nj27ZtCwABAQF3794VEjBPq9UeOXJk1apVVZSg1Wp/+eUX4aWfn5+fn1/1A+A4juO4Gkb97ALrokzRCzRVkJeywFkBXtak6tUJIeb/SZpnkFUMvUUI1YPP7pAsFd0zqE6aGaIVKowil8lkGo2mzLsHDx4cMmRIFSMC9Xq9Vqv99ddfhSUjR4709vaufgBarbb8fo3BcZxWqzW8n228ughSo9GIW01XP8i9cZJR7qDRPGN0CiHEhEFWEx+kKCNNBUYGyTAMPvoRIROKTKZfRZPLoySyurnPJlp14+DgkJub6+joGB8f7+/vX+bdzZs3V938lUql1tbW+/btq3UAHMeJMuTfsECpVCpuDVgXQUokEtHLrGaBR1L0B16QWFo+48oMIYRlWVMFWU2EEIZhzDxIhFC9uZ1LZ5zXH3pB6m5VV51MRUvrs2fPXrJkyfHjx48dOxYSEgIAkyZN4t9KSUnJzMzs1q2bWPtC5uB2LqUAnZph/2eEUGPz5CkdcYLbFCzp2bwOqzjRWsCvv/56ZGTk48ePDxw4YGNjAwBjxozh3yotLcXRhI1PRAIZL8aU1AghZFbiiugLx7hPurPj2tTtEA8x73iNGDHC8KXw8Fi+cxZqZCIS6bfB2EUIIdSoPHlKBx/jlgWwM9rW+QBLHMGJaiO2kGaraK+6vDiDEEL17Ho27R+p/6gbO6d9fSRHHMGJauNgIh3dmmUx/yKEGovIZDrjvP7HftIQj3qq2rAFjGrjUBIZ1RoPHoRQI/HpHRJ2kTv0Qv1lX8AWMKqFPA3czqUDW2L7FyHU4BXrYM5FLqaQXhklcauzEUcVwkYMqrHIZDKoJavEDlgIoQbubh4NOqhXSuB8iLSesy9gCxjVwuFEOqo1Nn8RQg0YBdhwn3z8B/d5L8lUH9O0RTEBo5rREohKIxuDZaYOBCGEaimtFOZcgiI9uTRK6mO62VTxEjSqmd/SqL8D46Q0dRwIIVRzhMKG+6THESa4OXMhxJTZF7AFjGrqcBIJ8cDzNoRQw3M3j4Zd5CQsnBpCO9iB1NQ1man3jxqayGRan930EULIeIU6eO8aN/iYfkY79nyItIOdqQMCAEzAqEbu5lEGwM8eEzBCqGEgFH54RNrv0eVq4M442ax2ZvQAIbwEjWrgCDZ/EUINx5k0+s5Vzk4OkUOkXR3Nru7CFjCqgcgkMsIdj5kmZN26dX369Jk9e7apA0GoZq5n0xeP6d/4nftPAHt2hDlmX8AEjKovTwP38ml/V3M8jlEdGTly5Ndff52ZmWnqQBCqrnv5dFwUN+E0N9GLjR4vHe9pvmkOL0Gj6jqaTAbiA7CaGB8fn+jo6GeuxnFcWlpaXFwc/9LOzs7R0bGOQ0OorNu59JNb5FImWdxFsvN5iflXVpiAUXVFJtMR7tj8RRVISEhYsGCBQqHgX7q7u0dGRhJCNBoNx3HGl69Wq6VSqVQqQn1VXFxsfCHiFkUpValUhBDji9JoNCzLymQiPCfHDD8oACgpKaGUll9+PZf99L7kboFkfjv9pu6chYTqSkFXeTlarRYA5HJ53YWkVCqf+UWIloBLS0s3bdpUWlo6Z86cFi1aGL6Vmpq6devWp0+fvvbaa+3atRNrj6g+cRROpZDPe+IZG6qAt7d3eHh4cHCw4UJCiEwms7S0NL58mUwmVgIGABsbG1HKEasoSqlEIrGysjK+KLlcLlYCBvP7oACAYRhra2vhJQU4kkQ+vUNSS+DdzuyBtqxCUq3/XcQEXCakGhHt4vjMmTOdnJyCgoLGjx9vuDw/P3/cuHFdunQZN26cKKd4yCSuZlF3a6alJbaAm5acnJyUlJSSkpK4uDidrooWBUL1SqWHHx6Rjnv1K/4g8/zYxxOlb3RgFWZ/zbkMcRJwaWnpnTt3pk+fPnToUAcHB8ObRps3b54yZUrz5s1dXV07dOggyu5Q/TuWQoa5YfZtco4fP75//34fH5/w8PCnT5+aOhyEILmELr3Otd6tO5hINgZLro+RTvRiJQ2zchLnkk5GRoaLiwv/t7u7e3JycseOHfmXDx8+/PPPP4uKik6dOvXmm2+GhoZWWIJery8sLBw4cKCwZMyYMTNmzKh+DCUlJQwj5pfAcZxWqxXlDpagLoLUaDTiXlqoMMijifLVXfXFxbXZESFErVbXQ5DG4IOs8F5OrRkZJMuyoly/NcaUKVOmTJli2hgQAgAKcCaNbrgrO5eln+rLmnYSBbGIk4AtLS01Gg3/t1qtNqw1lErlhAkTFi9ePGnSpBkzZlSWgKVSqaWl5fvvvy8s8fX1rdGFdUpprS/EV4hPwBYWFiKWWRdBinWbTVA+yGw1xBXrBra2lNXqigkhhP9+xYkPAOrgkySEiHUfTiB6kAg1Qdlq+Okx+f4RsZDAq57k54EKm8YyGZs4Cbh58+Z5eXmlpaUWFhZ//vlnx44dOY4rLCx0cHAIDAxMSEgAgNLSUqWyqjl0pFLp4MGDRYkHiet4ChnUiq1d9kUIodq5mUP/95DsiSeDW7Ib+0gGt2KKi9XWjSX7glgJmGXZjz76aNiwYdbW1qGhoY6Ojk+ePJk+ffqlS5deeumlSZMmzZw58/79+5999pkou0P17FgyxRvACKH6kaWCbTHkfw+JQgJz2rPhPWT2IvRWNkeijSqZOHHiqFGjdDod393c19f34sWLAKBUKg8ePJiTk2Nvby/WKAJUnwiFqFQS3gO/O4RQHdJwcDiJ/PyE/J5JR7dmtzwn6dOikZ/3i1mrKpVKw4vMLPvPJUsnJycRd4Tq0/Vs6mLJuFs18l8CQshUbubQrU/I7jjia8tM82V3Pc82puvMVcBmDXoGHICEEKoLKSV0Rwzd/JiwDEzyYq6MknraNK2qBhMweoZjyTS8R0Mb344QMldZKtgTT3bHkUcFdJIXu22ApIdz08q7AkzAqCo5anj8lDb6OzEIobr2VAsHE8meeHI+nT7nyszvyI5uzcqb9tgKTMCoKidTyQDXpv4jQQjVWrEO9iayB9O5s+lkUEt2mi/760DWAjMPAGACRlU7lkyH4QxICKEaKtTB4USyL4GeTiU9nSRT2jJbB8hsm0bXqurDBIwqRSicSiUru+NBghCqlgItnEolhxNpZDLp5sSEuLPf9ZUpdWobm6qewtRkYd2KKnUzhzopmdbW2AJGCFUlRw2Hksi+eHIxgw5syY73ZL7pI7P7++kZRTiNViUwAaNKHU+hQ3EAEkKoEonF9EACPZBIbuXSF1uxU33Y3QPZRvOg5nqACRhV6lgy+aQ7DkBCCP1LXBE9nEj3xJOHBXS4O/umHzvcnbXCZFJz+JmhiuVr4H4B7YsDkBBCAByF3zPpoURyMJHqKYxuzazqLunrwjTQiXjNBCZgVLETKaS/K6vABjBCTZhKD1Fp5EgSPZRImimYka2ZLc9Jgl1EnYu7CcMEjCqGN4ARarJSS+jeWElUlv58Ou3VnBndmv1PVyk+EF50mIBRBSjAyVSyvBseHgg1FRTgjxx6OIkcSaIJRXRgC3aKD7t9AGvXSKcCNAdYw6IK3MqhdnLGq4k9GB2hJkilh9Npf+VdGxmM9GA+7ykJbsGoSnDwbp3DBIwqcDyF4gxICDViKSU0MpkeSSLn02k3JybEgz07gvW1w199vcIEjCpwLIV80BX7XyHUqBAKt3JpVCo9nEQePaXPu7KhnuzW/qyDwtSRNVX/eso+IWT79u0hISGdO3ceNGjQ6tWri4uLq1lQenr66NGjR4wYsWrVKsPlubm5vXv3fuGFF1544YXffvtNtMBRnSnUMXdyaT8cgNTQ3Llz58MPPywsLBSWUEqXL19uTJm7d+8eOnTokCFDbt26ZXSAyDSeamFvPHn1HOe6U/faea5AS8N7SDImy34dJJnmi9nXlP7VAp43b96ePXteffXV4cOHZ2dnb9u27cCBA+fOnbOwsHhmQR988EFYWNjw4cNDQkJu3brVtWtXfrlOp2vWrFlkZGSdhI/qwJkMpq8Lg9OVNDgPHjxYvXp1RETEkSNHPDw8+IXr1q1bsWJF7Qp8+vTpf//732vXrmVkZLz00kuXL18WL1hU5x49pUeS6NFkciObBrswIe7sx4FSfLKsWfmnls3Nzd2yZcu9e/e8vb35JYsXLw4KCjp58uTo0aOfWdDFixe//fZbABg2bNi5c+eEBAwADx8+DAsLCwgImDVrlkxW6WPKKKX5+fnCSysrK7kcu9+ZwKl0yTB3nICwQXrllVdsbW179ux56NChoKAgI0u7efNmjx49FApF69atS0pKSktLLS0tK1yTEFJUVCT8fuVyuZWVlZF7R7Wg4eD3DDiexkUmUy0Hw92Zt/3ZQS1ZSzyfNkv/fC2ZmZkeHh5C9gUACwuLXr16ZWRkVKcgrVYrlUoBwNbWNiYmRlhua2v7888/N2/e/Jtvvlm+fPl///vfCjfX6/UFBQVeXl7Ckrlz57733nvV/0+qf7W8mjiO02q1er1exDLrKEiO48QqkAKcSpe/41daVETFKpMQotFoRAwS6uCTJISo1WpCiIhlGhkkwzDW1tY12kQqlX7zzTc+Pj6DBg3aunVrdU6dq1BQUGBra8v/bWdnl5+fX1kCjouLCw0N5WsAAGjbtm1UVJSI37tarZZKpUL5xhDxyBGrKEqpSqUy5thLV8HJdMnJdMm5TKa9LTeslX5rb66T/V8/YU4FRTUv0ww/KAAoKSmhVISqSavVAoAobbzKQlIqlVU0OHn/HNDt27eXy+WXL1/u3bs3vyQ7O/v3339ftmxZdYKwtLRUqVQWFhbZ2dktWrQwXN63b18AeP/998eOHVtpHFKpg4NDTk5OdfZVGRsbG2M2L4PPbdW5/F4jogep0WgqqxZr4c88aiXTdXGtWb1fNUKITCYTMUieuJ8kIUQqlYrebhM3yGpasGBB69atp02b9tFHHxlTjrOzs/CTzMnJcXJyqmxNHx+f8PDw4OBgw4Uifu8ymUysBAyifimiFEUplUgkNT32DHtUPSygA1uyIW2Y9b31rpaSZ9b71WRuHxTU6qy0QiImYGNC+ueAJoR06dKlf//+Q4cO9fLyys7OjoyM7Nq163fffcevsHLlyip+AMOHD9+6dev06dP37t27Y8cOANi4ceObb76ZlJSkUCgcHR23bdsWEBBQuyhRvTmeTF9wEbOpikxizJgxFy5cCAkJMaaQHj16zJ07NzMzMy4urk2bNgoFdtcxvUIdnEwhkcn0aDJprmRGeDCrgyR9mjNSFgBAo6EAeJe3wfgnoVJKtVrtmDFjACAtLQ0AXnzxRQCIi4sTVqiioI8//njZsmUvv/zy4sWLPT09AeDu3bsAkJ2dvXLlypKSkm7duq1du7bO/hEkjmMpZL6vaBefUX168cUXe/XqJbzs0qXL5cuXr1+/XusCFQrFjz/+OH/+fEtLy82bN4sRI6qlJ0/pkWQamUSu/92j6sOu0jb4qJwG7p8ELJPJfv3111oXZGFh8cUXXxgu2bRpEwAEBgZGRETUulhUnwp1cCuH9g0W8z4oqjcODg4ODg6GS9zc3Nzc3IwpMygo6JdffjEuLlRLOgIXMmhkMjmSREv0MNydmd+RHdwKe1Q1HvhNon9EpZI+LRgLCbaAETKZPA0cSyaHk+jJVOJry4R4sLueZ7s64QREjRAmYPSP4yl0qBsOQELIBPhZ7o8kk2tZtEdzJsSd/byntBVOQNSoYQJG/ziRQt/thAkYoXrCUbiYQQ8lkQPxMi3lQjyYhf6SgS0ZJT4HtmnABIz+ci+fShhoa8cU1WLMIEKo2kr0cDyZHEqiR5NJG2tmpAezra++j5vI4/SQ+cMEjP5yPIUOc8frXQjVlRw1HE0mR5LoyVTi78CEerIru0vdrRhKaWkpdrxoijABo78cSyYL/fHKF0Iiiymk+xNoRAJ5/JQOdWMneDI/PCezFedRGahhwwSMAABK9HA9mw5wxRYwQuKIzqd74smRJJpUTIe6se8HsEPcWDl2sUAGMAEjAIDTqaRnc8Yaz8oRMgKhcCmT7k8gEYlUysC4Nsw3fSQ9nRkWz2xRRTABIwCAYyl0GA5AQqhWCIULGXRvPNmfQB2VMMGTPfQC26kZZl30DJiAEQDAyRT61hBMwAjVAKFwMYPuiSd74omDnAn1YqKGSzrYY95F1YUJGMHDAqoj4IcVB0LVQAEuZdLdseTXOIW7NTfBkz0fIvWxxZ8PqjFMwAiOpdDhOAAJoWfh+1Vtj6EKFkK9mOMDtV1bijlxJ2pqMAEjOJ5M3vDD688IVexBAd0dS3bHUY7CS17MgRck/g4MABQV4eBdZBRMwE2dSg9XsuivgzABI/QvuRrYFUu2PiFppTDJi9k+QBLkjBeKkJgwATd1Z9JpoBNjJzd1HAiZB47Cb2n0fw/JiRQyxI39oCs7zI2V4gkqqgOYgJu648lkqDvWLghBdD7dFkO2PCbuVsyc9uyPz8lscGQ8qktiJuCbN28SQrp3786Um7myqKgoPj6+c+fOIu4OieJ4Ct0/GBMwarpy1PDTE7LlEdFRmOrDXh0lbWODl5pRfRAtAS9ZsiQ/P18qle7ateuLL74o8+7ChQtPnDiRnJws1u6QKJ48pWoO/PGJAahJOp9Bv3tAjiaT0a3Z//WTBLfAHwKqV+Ik4KKiosjIyLt37wJAYGBgQUGBvb298O7hw4c7d+585swZUfaFRHQshQ51K3e9AqFG7akWfokj6+8TLQevtWW/6i1zUpo6JtQkiZOAExISvL29+b99fHxiY2MDAwP5lwUFBVu2bNmzZ8+XX35ZRQmEELVavXr1amFJ7969+/btW/0YdDqdTqereeyV4jhOp9NJpWJepa+jIGtd5rFkeM0HdDpiuFD0IAkhopfZFIJkGEbcww9dzaJf3ZEdS9ON8GA39JH0c8GTT2RK4vy8Kf1nPBzLsoT8U6EvXrx4xYoVEskz5rmjlBJC8vPzhSVFRUWG5TwTIaRG61ezwLooU/QCa1emmoNLmexPwWW3Nqsgqy5T9ALNKsjyfSlQ7egI7I0nX0WTHDXM9KLf9JM5KkwdE0JiJWAPD4+EhAT+79jYWE9PT+GtoqKihQsXAkBGRsbs2bO///77CkuQSCSWlpaffvpprWPQarUKhZi/Ko7jGIYRt8y6CBIAalfmbyk0wJFrYVN2W9GDJIRQSs38k+STpZkHWf/Wr1+/b9++gICAdevWmTqW2sjXwLcPyfpo4ucAywLYEe5sSbGq3CGPkGmIk4Dt7e179uz5wQcfyGSyjh07Ojk53b9/f8OGDRs2bNi1axe/jpeXV2XZF5nE8RQcgISeYfDgwd27dze8N9RQJBTRL6PJtidkdGv2xLC/nl2FkFkR7Q7Txo0bT5w4QSl9//33AcDNzW3GjBmGK2zbtk2sfSFRHEumvwzEBIyq0r59++jo6GeuRggpKioSbiHJ5XIrK6s6Dq1SDwvo6tvkWAqZ1Y69O17a0hJTLzJToiVgiUQyfPhw4aWtra3QD4sXHBws1r6Q8WILaZGOdnHEugkBAKSlpZW5QDVu3LhOnTpVc/O4uLjQ0FChy1i7du2ioqL4npWi3FZXq9VSqfSZXdLuP2W+fCA9ncHM9OFujyB2MgoEiov/tU5JSYlYN9fFKopSqlKpDHvS1JpGo2FZViYT4QEiZvhB8UWJUo5WqwUAuVyERwBWFpJSqXzmEYt9LJuoI0l0hDuL6RfxbGxsnn/+ecMlLVq0qP7mPj4+4eHhZU6yCSFSqdTS0tL48KR/q2yFBwV0+U1yKZO+04n9fgBrVXnFRim1thZnCiOxiqKUsiwryjUDmUwmVgI2ww+KJ0pRIiZgMCIkTMBNVGQyeRNnQEJ/s7Gxee6558ovLy0tLSws1Ol0+fn5dnZ2rFpr3QAAIABJREFULGt2x0xSMV11mxxIJIv8JVv7SyywSkMNh9n9nFA9KNbB1Sw6qCV+++gZtm/fvm7dOhsbm7CwsOzsbFOH8y/5Glh0hQs8oHe1hCcTZe91YTH7ooYFD9im6EQK6dOCwQfNo2eaM2fOnDlzTB1FWXoC3z4kK29x49qw9yfInPE5VqhhwgTcFEUm0xEe2PxFDdKZNDrvEudhDaeHSzvi4CLUkGECbnIIhWPJZFkAfvWogclWwztXuPMZ9Ove7KjWeAaJGjw8iJucmzm0mYLxtsWmA2owKMBPMeC/T9fcAqInSDH7osYBm0FNzqEkMqYNZl/UYKSU0Jnn2FwNPTFUGoAj11EjgieSTc6hRDoSbwCjBuKXOBJ4QN/bGS6OYDD7okYGW8BNS2IxzVTRHs5YkSFzV6KH+Ze4i5n02BCpn7VGan5DkBEyEh7TTcuBBDrSg8UnYCEzF1tI+xzScxRujpF2c8LjFTVOmICblsNJZKQHVmfIrB1LpsGH9W/6sT/1l1jjaHXUeOEl6CbkqRZu5NDBrfCsC5mvDffJ6tsk4gVp7+Z4pogaOUzATcjRZPKcC2uJ3zkySxTg3avc8WT6+0hJGxvMvqjxw8q4CYlIoGNxABIySxyF2Re4J4X091FSe3GmqEHI3OHVyKZCw0FUGgnBAUjI/HAUppzlUkvoiaGYfVETIloLWKPRhIeHJyUlhYWFBQUFCctTU1M/++yztLS0jh07Llq0SMRZIVGNnEqlXZox+Nh6ZG4owKwLXJ6aHnpRqpCYOhqE6pFo7aElS5Y4OTl9+OGHs2bNKigoEJbL5fLp06dv3LiRELJixQqxdodqKiKBjMEH+CHzs+gKF1tII17A7IuaHNFq5KNHj86ePdvd3X348OEnTpwQljs7OwcEBDg6Onp6eoq1L1RTHIUjyWRUa7wBjMzLD4/I8RR68AUp9g1ETZBoR71Op5PJZADg6uqanp5u+NbFixeXLl2anJz822+/Vba5Xq9/+vRp165dhSWhoaFvvfVW9QMoLi6uedRV4ThOq9Xq9XoRy6yjIDmOq3q1i1msq1LqBMVFRc8uU/QgCSEajeaZQdZIXQSpVqsJISKWaWSQDMM07ls2Ual0+U3u4kipg8LUoSBkCqIlYInkr+tHJSUlLVq0MHyrb9++Fy5cOH/+/Pz58w8fPlxxHFKptbX1Dz/8ICzx9va2sbGpUQw1Xb9qfG6zsLAQsUyogyA1Go2lpWXVqx2/x4V6MzY21a3nxA2SECKTyZ4ZZE2JHqRUKrWyshKxTBA7yMYkQwXTz3E7n5d64Ygj1FSJloB9fX3v3LnTuXPns2fPrlu3DgCio6M7duwotIytra01Gk0VJUgkksDAQLHiQQIKEJFATwzDG8DIXBAK087q57RnB7hi9kVNl2gJeO3atfPmzbOwsAgKCvLz8wOAiRMnRkdH79+/f9OmTTKZTK1Wf/XVV2LtDlXfpUxqJ4cO9ljTIXOx7h7REvhPVzwpRE2aaAnY39//7NmzlFKG+auij46OBoBJkyZNmjSJEMLiZCYmsi+eTPDEDx+Zi9hCGv4nd2W0VILnhKhpE7leFrJv2d1g9jURCrA/gU7wxKoOmYu3r3D/11mCt34RwrzYyF3LokoJdHTAyg7VxuzZswcMGNCvX7/du3eLUuDJVPrkKSzwx5oHIXwWdGO3L4GEemH2RbW0YMECf3//oqIif3//MWPGKJVGPUqNAiy9zq3qzsox/yKECbhxowC/xtHIIfiEIVRL/v7+ACCVSuVyuVRaaXVBCCkqKsrPz+dfyuXyCgd0HU4kDMA47JGAEABgAm7cfs+gtnK8/oyeLT8/f8OGDYZLhg4d2r17dwCglL7xxhtLly6tIgHHxsaGhoYKK3h7e589e7b8s01W/SF7uz1XUqyuaXhqtVoqlVYRQPWVlJRU1lXFVEVRSlUqFaXU+KI0Gg3LsvzITyOZ4QfFFyVKOVqtFgDkchGm/qgsJKVS+cwjFhNwY7Y7jrzkha0N9GxKpTI4ONhwiaurKwBQSufPn9++ffsZM2ZUsbmvr294eHiZEvhnmwgPYLmSRfN03CvtFWzNq2Lp32q8ZTmUUrGeLyZWUZRSlmVFeQiMTCYTKwGb4QfFE6UoERMwGBESJuBGi6OwN55cHIlfMXo2CwuL559/vvzyd955RyaThYWF5efn29nZGTOc4dsH5I0ObC2yL0KNFdbOjdaZNNramvGxxQoP1V56ejrHcWFhYQDwzTfflHnKbPUV6eBgIvmspwgtM4QaDUzAjdYvcWQSXn9Gxtm1a5co5RxMJP1cWCecjhohA1hBN05qDg4kkEk4AAmZh73xdCIejQj9GybgxulQIgl0YlpZYZWHTE/NwW9pZIQ71jYI/Qv+JBqnbTFkqi9+ucgsnEunXRwZnPQXoTKwjm6EstVwMYOOaY1fLjILv6WTwa3waESoLPxVNEI7Y8io1qw1djhF5uFcOu3vgndDECoLE3AjtC2GTPXBbxaZBQ0Hd/Nod2dMwAiVhdV0Y3Mvn2apYGBLrO+QWbiTR33tGCsc8IhQOSInYI7jKlyu1+vF3RGqzI+PyGttGXzeEDITt3NpV0c8HBGqgGgJOCsra8iQIWPGjHnllVd0Op2w/MGDB3379h02bFhQUNClS5fE2h2qkJbAzlgyDfs/I7NxL5/643QgCFVEtJr6s88+mz59+uHDh1u1arVv3z5huZub2+nTp0+dOrVp06aPP/5YrN2hCkUkkC7NGG98/CQyG9H51L8ZHpAIVUC0BHz16tX+/fsDwIABA65evSost7GxUSgUAJCSkuLu7l5FCRzH3TSQk5MjVmxNx4+PyMx22PxFZuTRU2hnZ+ogEDJLonWNKCoq4ucds7KyKiwsLPNuTEzM6tWrDx48WNnmer2+uLh49uzZwpLQ0NC33nqr+gGIOOUkj+M4rVZb2V3t2qmLIDUaDT/lalIJcytHNriPurjYqDJFD7L8vLDGq6MgRZmTVWBkkCzLCnP5NVBqDnLU1B2fyIZQRURLwK6urunp6Q4ODmlpaS1btjR8KyEhYerUqTt27OBnGK04DqnUzs7ujz/+qHUA4k45CX8nYAsLCxHLrIsgZTIZX01vf8BNawuOdsaWL3qQZeaFFUVdBCmRSESZk1UgepANTnIJuFlhl0CEKiba5coJEyasX78+IyNj8+bN48aNA4DPP/+8sLAwPT192LBh8+bNKywsvH//vli7Q2VoONjymIS1x+vPyIykqliPJn0GglBVRGsBv/baa1qtdtmyZQsXLuzatSsA8HN3FxYWjh49+u7du3fv3m3RooWfn59Ye0SGfo0nAY5MWztsayAzkqGClpZ4TCJUMTGHx4eFhfETd/MWLlwIALa2tmvWrBFxL6hCm+6TpQHY/EXmJV3FuDbsu9gI1SGsshuD27k0tRSG43RvyMxkqWhzC2wBI1QxrLIbg6+jyRsdWAlWdMjM5GoYJ5yFEKFK4BNaG7wsNXMwkTyeiJMfIbOTpwVHpamDQMhcYQu4wdv4iHnFm3XEdgYyP4U6xk6OV2YQqhi2gBu2Uj38FMteGoUnUsgcFWjBXm7qIBAyV1hxN2w/P6G9ncEHH/6M6saECRMGDx48YMCAQ4cO1WLzIh1ji/dGEKoEtoAbMB2BL6Lhh15iPiwTIUNbt261tLTMy8vr3r37qFGjarp5sY5ay/DsEKGKYQJuwHbGEi8b2stZzMcXI2TIwsIiLi7uzz//7NChQxWrEUKKiory8/P5l9bW1jKZDABKOcYaW8AIVQITcENFKHx6h3zdC28iIBE8efLEcBZRAJg8ebK7uzulNDw8PCYmZsSIEVVsHhsbGxoaKpX+VZ94e3ufPXtWxxEdsdCrjJwcBABArVZLpVKhfGOIOI2HWEVRSlUqlSgTgWg0GpZl+bMfI5nhB8UXJUo5Wq0WAORyEXooVBaSUql85hGLCbih2pdA7OTQ3wU0GlOHgho+e3v7wMBAwyU2NjYAwLLsd999Rynt0qXL9OnTHR0dK9zc19c3PDw8+P/bu/O4pq60ceAnCbuIICLighYEUSsDdVSUQasFq0Gd0boUl9GOtmJHVKoUoSha7bjVXSjWdWZUHLWjdUFFfi+4jFOlLC6QyBKQzQBhC4Ss957fH9fJmxckXMhxEvD5fvwj3kuePLm5uU/Oveee4++vu7BRRVvxKCLTUZj9h+GhCM6QQSoUxpjL5RKZCMTc3JxUATbBDcUgEopgAUYGpAQFuEuiMNqSQe/14yFEco4/8M5ycnIKCgpqsVAmk9XW1g4aNKioqKi5uZkpyezJNciSC9dHAGgTFOAu6WwB7WCJpg3kEJ2tGID/Q6VSff3111VVVQ4ODmfOnOloc0FJYSsz6IEFQJugAHc9ahp9m0UfD+AZOxHQzTk4OCQmJnb66UoaWUIXBQDaBt+Pruf4C3qoHfrQBdoWwKSpKGTGgVPQALQJWsBdjFSNtmVRSR/DBwdMnZpGFnCaBoC2QQu4i9meRc1w5fo4QvMXmDoNRnAJGAA9SBbgrKysc+fOicXiFssrKytTU1PLy8sJvta7qagRn8qjt34AzQrQBahpZA6/8AFoG7Hvx40bNzZt2oQQmjFjRn19vXa5SqVavnz5pk2bkpKSSL3WO2vdL/T6UTwXG2PnAQALGhqZQQEGoG3Evh+HDx/et2/fwoULZ8+erTukjoWFxfXr1/UPowPYuPKSFtbj8PfhkAa6BgojHpyCBqBtxPryiEQid3d3hJCHh0dWVlZHn05RVHNz84YNG7RL/P39p0+fzj6CQqEgMv6LbkoqlYrUCGqMTifZrEHr/s1L8KOxWqNQ/+9yiqKYweeIpfgWtiRN0wqFokskyeORPL1vYJIcDsfSsgvP80xhxEXQCxqANhErwFwul6ZpHo9HUVQnRozjcrlcLrd3797aJU5OTh06GvJ4PLJHz7cRs9MBt2SiSf3QRwPeUMNMJ8m2cDgcSLJzKRFM5r+PRhxoAQOgB7ECPGzYMIFA4O3tLRAIvLy8Ovp0DodjZWUVHR3d6QTMzc3JNom4XC7GmGzMziX5QIwvv6SezDFr/VTmd48pJKkHTdMURZl+khqNxsST7FrgFDQA+hErwBs2bAgLC+Pz+Xfu3Nm4cSNCyMfH59GjR5aWlt99992dO3esra2bmprCw8NJveI7QqZBn92jjv6O17sLn4wE7yKMURdvwwPwdhErwAEBAefOnSsoKAgLC7OxsUEIJSYmMoPHzpw5c9q0aQgha2trUi/37lj9kPrQhcMfBEcy0MVACxgA/UgOqDRgwIABAwZo/6udwdvb25vgq7xTEgvph5X41z/AuFeg68EIQf0FQA84spuunDq87hcqNdis57t7GRF0YXAKGgD94KZSE1WrRLNTqL3jeCPs4RgGuiSMMAfawAC0DQqwKVLTaP7/08wZwlk8FD4g0FXRGHGh/gLQNji+mxyM0BcPqB7mnL/8FsZ8Bl0YXAMGQD+4Bmxyvn5ECepxynQzaD2ALg2uAQOgHxRg07I5g0oux2nBZrbQ8Qp0cdACBkA/KMAmJPIxdbsMp/DNHGDMDdD1QQsYAP2gAJsENY1CH1DP6vD/BJvBiFcAAPAugAJsfHVKtOB/NFY8TmqwWQ/4QEB3AaegAdAPekEbWVYNHvOzxrs353IQD6ovMEHFxcXjxo3Lzc3t6BNH2qOp/em3kRIA3QMc8o2Gwuj7p/S+51TcBN7c9+CXEDBFGOPo6GgbGxuZTNbR53rZc4ZYQQEGoE1QgI3jSS1e9YCyNkOPf2822BZO1AETdfz4cT6ff+3aNf1/hjFubGysq6tj/mtjY2NpCX0ZAGgHFOD/tio5+jaLulREbxvNW+EF9/oCk3Dv3r1Hjx7pLgkPD6+qqrp9+/bFixfbLcAFBQXz5s0zM3t9PHFzc0tLS6NpWqlUUhRleHoKhcLMzEwb3xBNTU2GByEbCmMsl8tpmsDZAqVSyeVyicxCbYIbCiEkk8kwxobHUalUCCFmvj4DtZWSlZVVux8EFOD/HrEc7X5q9jeRerEHN3euOfR2BqajX79+o0aN0l3C5XK///57CwuLqKiop0+fHjlyZP/+/b17937j0z08PHbt2uXv76+7kKZpc3NzZnJSA5mbm5MqwAihnj17EolDKhTGmMfj9ejRw/BQFhYWpAowMr0NhRDicDi2traGxyFYgA1JCQrwW0djdF+MT+XR10rouYNQ9hyzgT2g3QtMi6enp6enZ4uF69atq66uRghlZmYGBgYSqRAAAC0owG8LRujflfgfIvpSEXa2RouGcvf7mZupFD2h+oIuwtXV1dXVFSE0ffr0CRMmwGVdAMgiVoArKio2btwol8sjIiLGjh2ru+ro0aM3btzw9fXdvHkzj9edJxigMHpWix9U4n9X4rti7GCBFrhxU4O5nr1eF91GlXETBKAzwsPDjZ0CAN0QsQK8bNmy7du3Dx48OCgo6Ndff9WeW797925ycvLly5djY2MTEhL+/Oc/k3pFo1PRqFyGC6RIUI+F9VhYjzMkeEAPzgRnTtAAztbR3KF20NgFAADwZmQKsEKhKC8vZxq+Pj4+6enp2u4Y169fX7RoEY/HW7JkSXh4uKkVYIxQvfL143oVxgipKCTTIIRQvRLJlFw5ohtUqE6J6lW4QYUaVKhehV81o1fNuFaJXGw4Hr3QsF6ckQ6cOUO4vn04jnCWDgAAAAtkCnBNTY22e6STk1NVVZV2VXV1dZ8+fZjllZWVbUXQaDR1dXUODg7aJaGhod98882O52bxeawGqcDYgsPRd4ZXTSOZpmWTlINQL4vXPcjtzBEXIQseYkaksuXRPET3tka9zHEvc2xvyelrg+16YXtLTl9Lur8N6muFW4ZToya1viRlMhmH6Pj0FEUplUoiNzBoEU+SpmmFQtElkiRyh4OWgUlyuVwiXYgBAKaJTAG2t7eXSqXM44aGBt066uDgwKxqaGho6x4GhJCZmZm9vX1BQYF2SY8ePSwsLGLHog2+rHJoamrS3xfcnIs6NMcfRVEqlcrammSTFmNMpA+9FkVRpO700CKeJE3TZmZmpp8kqVtBtIgnCQDoTsiMgNijRw9ra+uXL18qFIr09PTRo0crFIqHDx8ihCZOnJiUlIQQSkpKmjRpkp4gHA7HQQdzFdmCixwsWf2rfpmn/w86OsOuTCYrLy/v/EZ5k/z8fLJtrObm5rKyMoIBEUIFBQVkk1QoFCUlJQQDIoQKCgrINqmVSuXLly8JBkQIFRYWEhmGoouSy+WlpaVEQonFYu1PfAMVFhaS2nPy8/OJxCG471VXV2vHIzOQSCQitfeS2lBqtbqoqIhIKIlEIpFIiIQqLi5Wq/We+dQDE5KZmfnxxx8HBQVduHABYywWiz/99FOMsUajCQ8P5/P5ixYtkkqlbT1dIpE4OjoaksDAgQPLy8sNidDCqVOnli1bRjAgxtjNza24uJhgwLNnz4aEhBAMiDH28vLKy8sjGPDSpUtz584lGBBjPGrUqJycHIIBf/7551mzZhEMiDH+4IMPsrKyyMY0Tf7+/g8ePGix8MKFC/PnzycS/8svv4yLiyMSytvb+/nz54bHkUql9vb2hsfBGF+/fn3GjBlEQkVEROzatYtIqHHjxj1+/NjwOGq12tra2vA4GOO0tLTJkycTCRUbGxsbG0sk1JQpU1JTUzv3XGK9oH19fW/duqX9r7Ozc2JiIkKIx+Pt27eP1KvogTEm2ySiKIpsQIQQTdNkm0SQJCkURWGi7X70FpLsWgh+7gS3JKlQNE2Tenfde0NhjDUajeFxENENRfCLaciGgkl4AAAAACOAAgwAAAAYgakMRUlRVHNz88aNGzsdoaGhYceOHQRHD3/69GlpaakhKbVWV1e3e/due3t7UgFzcnIKCwvJJimRSPbu3evo6EgqoFAoFAgEZJOsrKw8cOCAk5MTqYD5+fnEk3z16tXhw4f79evX6QgrVqwYOnQowZTekurq6h9++KHFpEkCgeDFixdENukvv/xSUFBApFOkWCw+ePCg4XuOUqlUKpVE3l1BQYFQKCQS6v79+9bW1g0NDYaHKisri4+Pv3LlioFxmDO0RN7dy5cvi4qKSG0ohFDnO0/pEIlEx48fv3PnTovlEyZMmDVrlv7ncohf9+ocjUbzxRdfDBs2rNMRnj9/PmLECC6XWJu+oaGhvr5+8ODBpAIihJ4/fz58+HCC43FKpdKampr33nuPVECEUE5OzrBhw0jNPIMQampqqqqqcnNzIxUQIZSbm+vh4UFq1heEkEwmE4vF7u7upAIihAQCgbu7uyEzrixcuHDQoEEEU3pLtmzZwuVyWwwW3djYKJFIiOycZWVlNjY2eu5jZI/UnoMxfvbsmbe3t+EpyWSyV69eEfmlVVFRYW5uTuSHqVAodHNzIzJf0NOnT4lsKKZffetZQzqBGZTC2dnZ8FB5eXmDBg2ytrZusXzMmDFTpkzR/1xTKcAAAADAOwWuAQMAAABGAAUYAAAAMAIowAAAAIARQAEGAAAAjIC3ZcsWY+dA3pMnT2QyGZE+k3K5PCUlJS0tTaFQuLq6Gh4QIVRZWXn9+vVnz565urpaWVkRiSkWi9PT0y0tLQ28EUssFl+9epWmaUNuntHV1NT066+/1tfXE+lwiBCiKOr+/fupqakajWbAgAFEYgoEgps3b+bk5AwaNIjUJ4IQUqvVqampLi4uBHtrmzKFQnHt2rWSkhJ3d/cW00Dl5OTcuXPH0dHRzs6OTSipVHrlypWGhoYWXzqVSpWdnV1cXMy+c3hZWdm1a9fMzMxa9A3Ozc1NSkoqLy93d3dneffEo0ePHjx40L9/f90urwqFIiUlJTU1VS6XszxE6NlQTMJCoZDlvt3Y2HjlypW6uroW92u8ePEiOztbJBK9evWKZVZ5eXk3b960s7NrfZ9kZmbmrVu32H/jMjMz09LSnJ2ddWc3kUgkDx8+FIlEIpGooqKCTVYURSUlJb148aL1Z/T48ePbt29TFNW/f382KdXX11+5ckUqlbbYczDGt27dysrKcnV1bdGN/43UavXTp08LCgpa3yDT1mehRzdsAefn5//hD384ffo0kWjl5eXPnj3r2bPn7t27Dx06RCTmtm3bampqqqqq/P39m5ubDQ8ol8tXrFgRExOjOxpoJ9TV1c2cORNjHB0dbWAorZiYmP3792/fvp1INIRQSkoKczyNioo6deoUkZhpaWkIIYlE8rvf/U6pVLb352zt3r170aJFFRUVpAKauJCQkOLi4uTk5KioKN3l9+/fX7duHYfDmTNnzqtXr9qNQ1EUn89vbGw8evRoQkKC7qr4+PiEhITPPvuMZUrl5eWffPIJh8NZs2YNMz0MQyqVbtu2DWOcnJy8ePFiNqHOnDmzd+9ehULB5/N1d5JXr149efKkZ8+ee/fu3b9/P5tQCxYsKC4uvn37dnR0dItVzA2ZX375JZs4NE0HBwdLpdKTJ08ePnxYd1V8fPw///nPjIyMZ8+esQmVlZX1+eef83i8kJCQwsJC3VX79+/fu3evubl5ZmYmm1BXr16NjY2lKIrJTbtcKpVmZGRkZGScPXt2x44dbEKFhoZmZGRkZ2d/8cUXussvXLgQGxvbu3fvqKgoNncqazQaPp/f3NwcFxd3/Phx3VWrVq1KTU1tbm6eNWsWmxElT506FRcXt2jRohbLaZrm8/lSqfTEiRNxcXEs3hxCiNxkDCaCoqg5c+YcOHAgJiaGbOS0tLQ//vGPZGMGBwdnZ2eTirZt27YTJ04YEiEhIWHHjh0Y49zc3ODgYEJ54fT0dFKD8uu6d+/ewoULycacMGFCaWkpkVC5ublhYWGBgYHM7FLdXn5+fmBgIMaYpmlPT0+VSqVdtWDBgl9++QVjfOTIkT179rQbKiUlZfny5RjjxsbGUaNGtVirVqs9PT1ZZrVjx46EhASM8b/+9a/Fixe3/gOapgcNGsQm1JgxY6qqqjDG4eHhly9fbv0H9+/fZ7ND5uXlBQUF4f9sKLVarbt2+/btiYmJo0ePZpPS3bt3ly5dijGWyWQjRozQXbVmzZqUlBRmims2QkNDb926hTE+e/bsN998o10ulUp9fHxUKpVcLmcZKjAwkJn2bevWradOnWr9B6tWrbp06VK7cWpra319fZnHv/3tbyUSiXZVVFTUuXPnMMZ//etft2zZ0m6omzdvhoaGYozr6+t9fHx0Vw0ePJimaYzxZ599lpyc3G4ohpubW4slqampzOQ9TU1NI0eOZBmnu7WA4+Li5s2b16dPH4IxMzIy5s+fv379+tY/Vw1RWFgoFouHDx9OMKaBCgsLmdEAhg4d2uJXsAk6depUuwPNsLdhw4aPPvooICBg4MCBhkejaTomJmbr1q2Gh+oqRCIRM4wJh8NxcXERi8XaVdr9ysPDQ3fO77Zo/97W1lYulxsy/r5IJNL/0v/4xz8CAwPZhJJIJMxJ7NahsrKy5s+fv3bt2piYGPYpcTicfv36MSNCMIRCYWlp6dSpU9nkg3Q2lI2NjUaj0Z3zwNHR8ciRI5MnT2YKD/tQHh4eut/9vLw8pVI5b9682bNnR0REsMmquLiYGXXnjdtcLpffuXNnxowZ7cYpKSkZMmQI89jNzU13IsKwsLBjx4796U9/On369KpVq9oNpd3mvXr1amxs1N0gVlZWtbW1zMsZMm2idgP26NFDpVKxnJ7BVIai7CiBQBAWFqa7JCYmxt3dPSUl5fTp0xcvXpTL5QqFokPX8/bv33/jxg3tf62srK5fv44Q8vb2PnTo0JkzZw4cOPDDDz90KM8W3+1PPvmE2V3EYvGSJUtOnz7d0YFmTpw4wUwzpXXjxg02ly7Y4HK5zMGOmZ2eSMy35LvvvrOzs1uwYAGpgJs3bxaJRCtWrCgpKTH8Yv/BgwenT5+OEFKr1Q0NDRjj1pdeuBQwAAAIh0lEQVT6uhkul6s9rlEUpTuSmna/arFcTyht0TVw0+m+dOtd+t69e0ePHv355587FLP1u3j//fcPHTqUmJi4b9++Y8eOtZtSWxvqq6++OnToUH19vUajaWpqsrW1bTdUWxtq8+bNzIMZM2Y8fPjQ39+fZagWG4pp0v300088Hm/s2LGlpaXtXn3ncF6P7/TGj/unn36aNWsWm0OW7rtrEer8+fO+vr4rV66Mi4u7cOHC6tWr2YdiMtQ+3rdv3+zZsx0cHGiaNmTYr87ttF21AA8fPjwlJaXFwuzsbEtLy5UrV5aUlEil0smTJwcHB7OPGR4eHh4e3nq5ubl5v379Fi9e3In2VuskEUJVVVVz5849cuTI+++/39GAy5cvX758eUefxZKXl5dAIEAICQQCQ4YFfdv27t1bWlra0R9D+tnZ2fn4+PzmN7/Jy8szvABzOJzk5OTk5GShUBgTE3Px4kXd3ijdkqenp1AoRAhRFFVdXd23b1/tKma/cnJyEgqFXl5e7Yby8vK6e/cuQqiurq5Xr16GFGAvL6/c3NygoCCBQNDipR8+fLhp06YrV66w7BfWv3//8vLyAQMGCASCFg045hCxZMmSjz/+uN04np6ezLeMoihtq5rRs2fP6OholUpVUlLCXEfTH2rYsGFMXw2pVGpjY/PGH819+vSRyWTtZsVsKA8PjxbffXd3dwcHByaynZ2dXC5n8waFQuHIkSMFAkHrQ9zJkycPHDjQbhCE0JAhQ0QiEfO4sLBQd0zTe/fubdq0ydPTc+HChfv27Wu3AHt5ef3tb39DCDETz+uu4vP5fD4fITRz5kw/Pz82ib3RsGHDmOGgGxoabG1t2Q6KzPJUdddy5swZUteAL126xMxxHRAQcPz4cSIxP/zww6lTp0ZGRkZGRubl5RGJ+e233wYEBEyfPv3AgQOdDtLY2Ojn57dr166JEye2nl+9c86fP7906VIvL6/IyEipVGp4wJs3b9rb20dERERGRh47dszwgBjjJUuW7Ny586uvvho/frxMJiMSk/HuXAPGGC9btmz9+vULFy7cvXs3xvj27dtr1qzBGGdmZk6YMGHPnj3jxo2rqalpNw5N01OnTt26dSufz09MTMQYHzt27Pvvv8cY37t3LyIionfv3pGRkUKhsN1Q1dXVY8eO3bNnz4QJE5j+FqtXr05JSWFK+4oVK5ivITMbtH5Xr14NDAzcvn37pEmTmAu3Xl5eGOPLly8zh4iJEyf++OOP7cbBGC9dunT9+vUhISHMFfFbt26tW7dOu7ampoblNWCMMZ/Pj42NnTFjxt///neM8enTp3fu3Mm8zb/85S+rV6/29/dnc/lWKBT6+fnt2bNn7NixZWVlGONZs2YxR6evv/46LCwsOjo6ODiYuVyqX2pq6qRJk3bu3Dl+/Pjm5maM8ahRo5gtJhKJ/Pz8WL41jHFkZOTnn38eGhq6fv16jHFmZmZISAjG+OzZs5MmTTp8+HBAQMCFCxfajUNR1EcfffTtt99Omzbt4sWLGOOEhATmUHny5MkdO3YsWrSIeYl2PXr0KDIy0t7ePjIy8smTJ9p3R9P0tGnTtmzZEhwcfPbsWZZvsHuOBV1bW6tQKFh2T9dPo9FkZGTU19ePHDmSyNVBhFBOTo5CoWAee3h4sPwBrt+TJ0+YK0A2NjaGXFeWyWTp6ekeHh6k7vApLi6uqalhHnt7ext+Q05NTU1xcTHz2M7OzsPDw8CA6D993e3t7ceMGUP23Ht+fj7L2xu6AZqm09PTbWxsRo0ahRCSSqUNDQ3MGUuxWCwQCEaPHs1yb1epVI8fP+7Xrx9zXU0ikVAU5ezsXFlZWVZWxvzN0KFDe/Xq1W4opvPtiBEjmBvhSktL7e3traysnj59qv2bDz74gE07u6ioqKysbMyYMcy1rZycnJEjR2o0mszMzLq6OvaHCJqmHz9+bGtryzQQpVKpVCrVPlej0eTn57P8FqtUqvT09L59+zJfhJqaGo1G4+zsXFpampOT06Fdurq6+vnz5z4+Pg4ODgihwsLCgQMHMrtudnZ2U1PT+PHjWYYqKysrKCgYO3asjY0NQig3N3fEiBEIodra2ubm5g4dSDMzMzHGzAckl8vFYjHTFC4qKsrLy/Py8mJ5z49SqUxPT3dxcWF6KkgkEpqm+/btK5FIMjMzXV1d2ZybYZ748uVL5rGbm5uDg4P23bX4LNjongUYAAAAMHHdrRc0AAAA0CVAAQYAAACMAAowAAAAYARQgAEAAAAjgAIMAAAAGAEUYAAAAMAIoAADAAAARgAFGAAAADCCrjoWNCBOLpczk09oDR061NfX11j5AABYqqioyMjImDhx4rlz52Qy2bRp0zoxzjz474MCDF5TKBTaqSMwxmfOnAkNDYUCDIDpy8jIWLp06Xvvvefn5yeTyWJjY8+fPz9z5kxj5wXaAQUYvObg4HD06FHmcVRUlIuLy8aNG42bEgCApbq6uvj4+E8//RQhNHz48PDw8ODgYLZz8gAjgY8HtHTy5Mkff/wxKSlJd0Y5AIApMzMzmzdvHvM4JCSksLCwvLzcuCmBdkEBBv9HWlra2rVrL168aMrzAQMAWujZs6d2qiJ7e3uEUG1trVEzAu2DAgz+l0AgmDNnTnx8/JQpU4ydCwCgA+rq6qqqqpjHeXl5HA5nyJAhRs0ItA8KMHiturqaz+evXbt2yZIlxs4FANAxXC43KiqKoii5XL5p06bf//73bCZLBsYFBRi89vz584aGhoMHD/b+j4iICGMnBQBgxdnZ2cXFpW/fvo6Ojs3NzfHx8cbOCLSPgzE2dg4AAAA679q1aytXrqyoqGhqalIqlY6OjsbOCLACtyEBAEA3YWtra2tra+wsAFtwChoAALo2JyengIAAY2cBOgxOQQMAAABG8P8BALtfe1OAF2oAAAAASUVORK5CYII=", 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"\n", "P2 = plot(p -> quantile(Normal(0,1), p), 0, 1; label=\"\")\n", "plot!(ylim=(-4.5, 4.5))\n", "plot!(ytick=-10:10, xtick=0:0.1:1)\n", "plot!(yguide=\"z\", xguide=\"p\")\n", "title!(\"z = quantile(Normal(0,1), p)\")\n", "\n", "plot(P1, P2; size=(640, 320))" ] }, { "cell_type": "code", "execution_count": 4, "id": "fdc6b883", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = range(-4.5, 4.5, 1000)\n", "plot(p -> quantile(Normal(0,1), p), 0, 1; label=\"quantile\")\n", "plot!(cdf.(Normal(0,1), x), x; label=\"inverse of cdf\", ls=:dash)\n", "plot!(ylim=(-4.5, 4.5))\n", "plot!(ytick=-10:10, xtick=0:0.1:1)\n", "plot!(yguide=\"z\", xguide=\"p\")\n", "title!(\"Normal(0,1)\")\n", "plot!(size=(320, 320), legend=:topleft)" ] }, { "cell_type": "markdown", "id": "3135d6a5", "metadata": {}, "source": [ "離散分布 $D$ の場合には累積分布函数 $p = \\cdf(D, x)$ のグラフに平坦な部分ができてしまうので, その逆函数は存在しなくなってしまうが, 適当にほぼ逆函数とみなせるものが $x = \\quantile(D, p)$ として定義されている." ] }, { "cell_type": "code", "execution_count": 5, "id": "9aadba19", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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yguide=\"p\")\n", "title!(\"p = cdf(Binomial(10, 0.3), z)\")\n", "\n", "P2 = plot(p -> quantile(Binomial(10, 0.3), p), 0, 1; label=\"\")\n", "plot!(ylim=(-0.5, 10.5))\n", "plot!(ytick=-1:100, xtick=0:0.1:1)\n", "plot!(yguide=\"z\", xguide=\"p\")\n", "title!(\"z = quantile(Binomial(10, 0.3), p)\")\n", "\n", "plot(P1, P2; size=(640, 320))" ] }, { "cell_type": "code", "execution_count": 6, "id": "9d91a199", "metadata": {}, "outputs": [ { "data": { "image/png": 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"metadata": {}, "source": [ "## 補累積分布函数 ccdf と補分位点函数 cquantile\n", "\n", "確率分布 $D$ の __補累積分布函数__ (complementary cumulative distribution function, __ccdf__) を\n", "\n", "$$\n", "\\ccdf(D, x) = 1 - \\cdf(D, x) = P(X > x)\n", "$$\n", "\n", "と定める. 補累積分布函数は単調減少函数になる.\n", "\n", "補累積分布函数 $p = \\ccdf(D, x) = 1 - \\cdf(D, x)$ の逆函数を\n", "\n", "$$\n", "x = \\cquantile(D, p) = \\quantile(D, 1-p)\n", "$$\n", "\n", "と表し, __補分位点函数__ (complementary quantile function)と呼ぶ.\n", "\n", "補分位点函数も単調減少函数になる.\n", "\n", "例えば, \n", "\n", "$$\n", "\\cquantile(\\op{Normal}(0,1), 0.05/2) = 1.95996398454\\cdots \\approx 1.96\n", "$$\n", "\n", "は非常に有名である. 実践的にはこれの値が $1.96$ にぴったり等しいとみなして扱って問題ない." ] }, { "cell_type": "markdown", "id": "460e2765", "metadata": {}, "source": [ "標準正規分布における $\\cquantile(\\op{Normal}(0,1), 0.05/2) \\approx 1.96$ よりも右側の確率(面積)が $2.5\\%$ になる." ] }, { "cell_type": "code", "execution_count": 7, "id": "99f53f04", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "c = cquantile(Normal(0, 1), 0.05 / 2) = 1.9599639845400592\n" ] }, { "data": { "image/png": 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", "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@show c = cquantile(Normal(0,1), 0.05/2)\n", "plot(Normal(0,1), -4.5, 4.5; label=\"\", xtick=-5:5, xguide=\"x\")\n", "plot!(Normal(0,1), c, 4.5;\n", " fillrange=0, c=1, fc=:pink, label=\"0.05/2 = 2.5%\")\n", "vline!([c]; label=\"x = $(round(c; digits=2))\", c=:red, ls=:dash)\n", "title!(\"Normal(0,1)\"; legend=:topleft)" ] }, { "cell_type": "markdown", "id": "5107aa53", "metadata": {}, "source": [ "標準正規分布における $\\cquantile(\\op{Normal}(0,1), 0.05/2) \\approx 1.96$ よりも右側の確率(面積)と反対側の確率(面積)の和が $5\\%$ になる." ] }, { "cell_type": "code", "execution_count": 8, "id": "35a608c0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "c = cquantile(Normal(0, 1), 0.05 / 2) = 1.9599639845400592\n" ] }, { "data": { "image/png": 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", "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@show c = cquantile(Normal(0,1), 0.05/2)\n", "plot(Normal(0,1), -4.5, 4.5; label=\"\", xtick=-5:5, xguide=\"x\")\n", "plot!(Normal(0,1), c, 4.5;\n", " fillrange=0, c=1, fc=:pink, label=\"5%\")\n", "plot!(Normal(0,1), -4.5, -c;\n", " fillrange=0, c=1, fc=:pink, label=\"\")\n", "vline!([c]; label=\"x = $(round(c; digits=2))\", c=:red, ls=:dash)\n", "title!(\"Normal(0,1)\"; legend=:topleft)" ] }, { "cell_type": "markdown", "id": "b2bc5394", "metadata": {}, "source": [ "## WilsonのP値と信頼区間\n", "\n", "WilsonのP値と信頼区間は二項分布の正規分布近似によって定義される.\n", "\n", "__注意:__ 二項分布の正規分布近似を使った検定には少なくとも, Wilson検定(スコア検定)とWald検定がある. 標本サイズが小さい場合のそれらの性質の良さは大きく違い, 以下で説明するWilson検定の性質は非常に良いことが知られている. 例えば, 次の論文を参照せよ:\n", "\n", "* Alan Agresti and Brent A. Coull. Approximate is Better than \"Exact\" for Interval Estimation of Binomial Proportions. The American Statistician, Vol. 52, No. 2 (May, 1998), pp. 119-126. \\[[Google Scholar](https://scholar.google.co.jp/scholar?cluster=5129299358902170657)\\]\n", "\n", "この論文を読めば分かるように, 二項分布モデルにおけるWilsonのP値と信頼区間は, 二項分布における確率を正確に計算する方法と比較しても, 広く使用が勧められる優れた方法になっている.\n", "\n", "__注意:__ その論文で良い性質を持つと結論されているのは, Yatesの連続性補正をしていないナマのWilsonのP値と信頼区間である. だから, この解説ノートでは連続性補正版を扱わない." ] }, { "cell_type": "markdown", "id": "2d3dd130", "metadata": {}, "source": [ "### WilsonのP値\n", "\n", "$k$ を二項分布 $\\op{Binomial}(n,p)$ に従う確率変数とするとき, \n", "\n", "$$\n", "\\phat = \\frac{k}{n}\n", "$$\n", "\n", "とおくと, $np$ と $n(1-p)$ が十分に大きいならば, 中心極限定理より次の近似が成立している:\n", "\n", "$$\n", "\\frac{k - np}{\\sqrt{np(1-p)}} = \\frac{\\phat - p}{\\sqrt{p(1-p)/n}}\n", "\\sim \\op{Normal}(0,1),\\ \\text{approximately}.\n", "$$\n", "\n", "これを用いて, データ「$n$ 回中当たりは $k$ 回」に関する「当たりが出る確率は $p$ である」という仮説の __WilsonのP値__ を次のように定義する:\n", "\n", "$$\n", "\\pvalue_\\op{Wilson}(k|n,p) =\n", " 2\\ccdf\\left(\\op{Normal}(0,1),\\,\n", " \\left|\\frac{\\phat - p}{\\sqrt{p(1-p)/n}}\\right|\\right).\n", "$$" ] }, { "cell_type": "markdown", "id": "11fb4be3", "metadata": {}, "source": [ "### Wilsonの信頼区間\n", "\n", "WilsonのP値に対応する信頼度 $1-\\alpha$ の __Wilsonの信頼区間__\n", "\n", "$$\n", "\\confint_\\op{Wilson}(k|n,\\alpha) =\n", "\\{\\,p\\mid \\pvalue_\\op{Wilson}(k|n,p)\\ge\\alpha\\,\\}\n", "$$\n", "\n", "がどうなるかを計算してみよう. これはP値函数から信頼区間がどのように得られるかを理解するために手頃な複雑さを持つ良い練習問題になっている.\n", "\n", "$z_{\\alpha/2}$ を次のように定義する:\n", "\n", "$$\n", "z_{\\alpha/2} = \\cquantile(\\op{Normal}(0,1), \\alpha/2).\n", "$$\n", "\n", "例えば, $\\alpha=5\\%$ のとき, $z = z_{5\\%/2} \\approx 1.96$ になることは非常に有名である. このとき\n", "\n", "$$\n", "\\begin{aligned}\n", "p\\in \\confint_\\op{Wilson}(k|n,\\alpha)\n", "& \\iff\n", "\\pvalue_\\op{Wilson}(k|n,p)\\ge\\alpha\n", "\\\\ & \\iff\n", "2\\ccdf\\left(\\op{Normal}(0,1),\\,\n", " \\left|\\frac{\\phat - p}{\\sqrt{p(1-p)/n}}\\right|\\right)\n", " \\ge\\alpha\n", "\\\\ & \\iff\n", "\\ccdf\\left(\\op{Normal}(0,1),\\, \\left|\\frac{\\phat - p}{\\sqrt{p(1-p)/n}}\\right|\\right)\n", "\\ge \\frac{\\alpha}{2}\n", "\\\\ & \\iff\n", "\\left|\\frac{\\phat - p}{\\sqrt{p(1-p)/n}}\\right| \\le\n", "\\cquantile\\left(\\op{Normal}(0,1), \\frac{\\alpha}{2}\\right) = z_{\\alpha/2}\n", "\\\\ & \\iff\n", "\\frac{(p - \\phat)^2}{p(1-p)/n} \\le z_{\\alpha/2}^2\n", "\\\\ & \\iff\n", "(p - \\phat)^2 \\le \\frac{z_{\\alpha/2}^2}{n} p(1-p)\n", "\\\\ & \\iff\n", "\\left(1 + \\frac{z_{\\alpha/2}^2}{n}\\right)p^2 -\n", "2\\left(\\phat + \\frac{z_{\\alpha/2}^2}{2n}\\right)p +\n", "\\phat^2 \\le 0.\n", "\\end{aligned}\n", "$$\n", "\n", "ゆえに, \n", "\n", "$$\n", "a = 1 + \\frac{z_{\\alpha/2}^2}{n}, \\quad\n", "b = \\phat + \\frac{z_{\\alpha/2}^2}{2n}, \\quad\n", "c = \\phat^2\n", "$$\n", "\n", "とおき,\n", "\n", "$$\n", "p_\\pm = \\frac{b \\pm \\sqrt{b^2 - ac}}{a}\n", "$$\n", "\n", "とおくと, Wilsonの信頼区間は次のように表される:\n", "\n", "$$\n", "\\confint_\\op{Wilson}(k|n,\\alpha) = [p_-, p_+].\n", "$$\n", "\n", "__注意:__ $f(p)$ を\n", "\n", "$$\n", "f(p) = \\left(1 + \\frac{z_{\\alpha/2}^2}{n}\\right)p^2 -\n", "2\\left(\\phat + \\frac{z_{\\alpha/2}^2}{2n}\\right)p +\n", "\\phat^2 =\n", "ap^2 -2bp^2 + c\n", "$$\n", "\n", "とおくと,\n", "\n", "$$\n", "f(0) = \\phat^2 \\ge 0, \\quad\n", "f(1) = (1-\\phat)^2 \\ge 0\n", "$$\n", "\n", "となるので, Wilsonの信頼区間は区間 $[0,1]$ に自然に含まれることがわかる." ] }, { "cell_type": "markdown", "id": "1d0afe14", "metadata": {}, "source": [ "### WilsonのP値と信頼区間の実装例\n", "\n", "以下はほぼ以上で説明した公式通りの実装になっている." ] }, { "cell_type": "code", "execution_count": 9, "id": "b23808a7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "confint_wilson (generic function with 1 method)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "safediv(x, y) = x == 0 ? x : y == Inf ? zero(y) : x/y\n", "\n", "function pvalue_wilson(k, n, p)\n", " p̂ = k/n\n", " se = √(p*(1 - p)/n)\n", " 2ccdf(Normal(0,1), safediv(abs(p̂ - p), se))\n", "end\n", "\n", "function confint_wilson(k, n, α)\n", " z = cquantile(Normal(0,1), α/2)\n", " p̂ = k/n\n", " a, b, c = 1 + z^2/n, p̂ + z^2/(2n), p̂^2\n", " sqrtD = √(b^2 - a*c)\n", " (b - sqrtD)/a, (b + sqrtD)/a\n", "end" ] }, { "cell_type": "markdown", "id": "dca0f51a", "metadata": {}, "source": [ "### P値函数のcompatibilityの指標としての解釈の仕方" ] }, { "cell_type": "code", "execution_count": 10, "id": "b17941e6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (10, 3, 0.05) = (10, 3, 0.05)\n", "ci = confint_wilson(k, n, α) |> collect = [0.10779126740630075, 0.6032218525388553]\n" ] }, { "data": { "image/png": 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", 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"title!(\"Wilson's P-value function for n=$n, k=$k\")" ] }, { "attachments": { "10.1177_02683962221105904-fig1.gif": { "image/gif": 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" } }, "cell_type": "markdown", "id": "34701e80", "metadata": {}, "source": [ "上のグラフは「$n=10$ 回中当たりが $k=3$ 回」というデータに関する二項分布モデルのパラメータ $p$ のP値函数と95%信頼区間のプロットである.\n", "\n", "このように信頼度 $1-\\alpha$ の信頼区間はP値函数のグラフを高さ $\\alpha$ で切断して得られる区間になる.\n", "\n", "上のグラフは次のように解釈される.\n", "\n", "(1) データ「$n=10$ 回中当たりが $k=3$ 回」と最も __相性がよい__ パラメータ値は $p=0.3$ である.\n", "\n", "一般にP値函数が最大になるパラメータ値をパラメータの __点推定値__ とみなせる.\n", "\n", "そのとき, 点推定値はデータの数値と最も相性が良いモデルのパラメータ値であると解釈される.\n", "\n", "(2) $0$ 近くの $p$ や $0.8$ 以上の $p$ は「$n=10$ 回中当たりが $k=3$ 回」というデータと __両立しない__.\n", "\n", "(3) 閾値を $\\alpha=5\\%$ に定めておいて, P値が $\\alpha$ 未満になったときに「パラメータ値とデータの数値が両立しなさすぎる」と判断することにしたとき, そのように判断されずにすむ $p$ の範囲はおおよそ $10.8\\%$ から $60.3\\%$ になる.\n", "\n", "これが $95\\%$ 信頼区間の穏健な(自信過剰にならずにすむ)解釈になる.\n", "\n", "このように信頼区間も「データの数値とモデル+パラメータ値の相性の良さ, 整合性, 両立性」で解釈すればよい.\n", "\n", "閾値 $\\alpha$ で「パラメータ値 $\\theta$ とデータの数値 $x$ が両立しなさすぎる」と判断することを, 「データの数値 $x$ によってパラメータ値 $\\theta$ は __棄却__ された」のように言うことがある. \n", "\n", "「棄却」という強い響きを持つ言葉を使っているが, 実際にはデータの数値とモデルのパラメータ値の相性を見ているに過ぎない.\n", "\n", "データの数値とモデルのパラメータ値の相性の良し悪しは, P値を計算することによって, データの数値が現実においてどのように生成されたかと無関係に判定される. (ゆえに信頼区間の解釈においても同様である.)\n", "\n", "もしもP値を使って得たデータの数値とモデルのパラメータ値の相性の良し悪しに関する結果を, データの数値を生成した現実の法則にも適用したければ, 各目的ごとに統計モデルが現実においてどのようにどれだけ妥当であるかについて別の議論が必要になる.\n", "\n", "例えば, 上で述べた「棄却」という強い響きを持つ言い方に実質的な力を持たせるためには, P値の計算以外に沢山の議論が必要になる.\n", "\n", "なお, P値をデータの数値と統計モデルの矛盾の無さ(整合性(consistency), 両立性(combatibility), 相性の良さ)の指標とみなすこの解説ノートの立場は\n", "\n", "* [P値に関する米国統計学会による声明(ASA声明)の日本語版](https://www.biometrics.gr.jp/news/all/ASA.pdf)\n", "\n", "でも採用されており, P値を使った検定の結果だけを見て自信過剰にならないように注意を促している. \n", "\n", "米国統計学会による声明なので, 現代的なP値の理解はこれが標準的であるとも考えられる.\n", "\n", "次の有名な記事でもP値の解釈の説明について __compatibility__ がキーワードになっている:\n", "\n", "* Valentin Amrhein, Sander Greenland, and Blake McShane. Scientists rise up against statistical significance. Valentin Amrhein, Sander Greenland, Blake McShane and more than 800 signatories call for an end to hyped claims and the dismissal of possibly crucial effects. \\[[DOI](https://doi.org/10.1038/d41586-019-00857-9)\\]\n", "\n", "P値函数や信頼区間の解釈については, 上の記事の共著者のうちの2人が書いた次の論文が非常にわかりやすい:\n", "\n", "* Valentin Amrhein and Sander Greenland. Discuss practical importance of results based on interval estimates and p-value functions, not only on point estimates and null p-values. Journal of Information Technology, First Published June 3, 2022. Nature 567, 305-307 (2019) \\[[DOI](https://doi.org/10.1177%2F02683962221105904)\\]\n", "\n", "この論文には次の図がある:\n", "\n", "![10.1177_02683962221105904-fig1.gif](attachment:10.1177_02683962221105904-fig1.gif)\n", "\n", "この図でP値は __compatibility__ (両立性, 相性の良さ)の指標とみなされており, confidence interval (信頼区間)は compatibility interval (両立区間)に言い換えられている." ] }, { "cell_type": "code", "execution_count": 11, "id": "42949c97", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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$p\\in[0,1]$ としたときの, P値函数 $\\pvalue_\\op{Wilson}(k|n,p)$ の値のヒートマップである. ヒートマップでは値が大きな所ほど明るくプロットされる.\n", "\n", "P値はデータの数値 $k$ とモデルのパラメータ値 $p$ の相性の良さ(compatibility, 両立性)の指標の1つであった.\n", "\n", "ゆえに, 上のグラフにおける明るい部分はデータの数値 $k$ とパラメータ値 $p$ の相性が良い部分であり, 暗い部分は相性が悪い部分である.\n", "\n", "$k=3$ での「切断面」のグラフがすでに示した以下のグラフになる." ] }, { "cell_type": "code", "execution_count": 12, "id": "a443ddc3", "metadata": {}, "outputs": [ { "data": { "image/png": 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"その代わりに, WaldのP値に対応するWaldの信頼区間は, Wilsonの信頼区間と違って, 二次方程式を解くことなく容易に計算可能になる." ] }, { "cell_type": "markdown", "id": "fc771dbe", "metadata": {}, "source": [ "### WaldのP値\n", "\n", "データ「$n$ 回中当たりは $k$ 回」に関する「当たりが出る確率は $p$ である」という仮説の __WaldのP値__ を次のように定義する:\n", "\n", "$$\n", "\\pvalue_\\op{Wald}(k|n,p) =\n", " 2\\ccdf\\left(\\op{Normal}(0,1),\\,\n", " \\left|\\frac{\\phat - p}{\\sqrt{\\phat(1-\\phat)/n}}\\right|\\right).\n", "$$\n", "\n", "この定義はWilsonのP値の定義における分母の平方根内の $p(1-p)/n$ を $\\phat(1-\\phat)/n$ で置き換えることによって得られる. \n", "\n", "その置き換えは中心極限定理による二項分布の正規分布近似を悪化させる.\n", "\n", "その代わりに, 次の節で示すようにこのP値の定義に対応する信頼区間の導出はWilsonのP値の場合よりもずっと易しくなり, 対応する信頼区間の計算も易しくなる. (二次方程式を解く必要がなくなる.)" ] }, { "cell_type": "markdown", "id": "f6966f5c", "metadata": {}, "source": [ "### Waldの信頼区間\n", "\n", "WaldのP値に対応する信頼度 $1-\\alpha$ の __Waldの信頼区間__\n", "\n", "$$\n", "\\confint_\\op{Wald}(k|n,\\alpha) =\n", "\\{\\,p\\mid \\pvalue_\\op{Wald}(k|n,p)\\ge\\alpha\\,\\}\n", "$$\n", "\n", "がどうなるかを計算してみよう. 以下のようにWilsonの信頼区間の場合よりもずっと簡単になる.\n", "\n", "$$\n", "\\begin{aligned}\n", "p\\in \\confint_\\op{Wald}(k|n,\\alpha)\n", "& \\iff\n", "\\pvalue_\\op{Wald}(k|n,p)\\ge\\alpha\n", "\\\\ & \\iff\n", "2\\ccdf\\left(\\op{Normal}(0,1),\\,\n", " \\left|\\frac{\\phat - p}{\\sqrt{\\phat(1-\\phat)/n}}\\right|\\right)\n", " \\ge\\alpha\n", "\\\\ & \\iff\n", "\\ccdf\\left(\\op{Normal}(0,1),\\, \\left|\\frac{\\phat - p}{\\sqrt{\\phat(1-\\phat)/n}}\\right|\\right)\n", "\\ge \\frac{\\alpha}{2}\n", "\\\\ & \\iff\n", "\\left|\\frac{\\phat - p}{\\sqrt{\\phat(1-\\phat)/n}}\\right| \\le\n", "\\cquantile\\left(\\op{Normal}(0,1), \\frac{\\alpha}{2}\\right) = z_{\\alpha/2}\n", "\\\\ & \\iff\n", "\\phat - z_{\\alpha/2}\\sqrt{\\frac{p(1-p)}{n}} \\le p \\le \\phat + z_{\\alpha/2}\\sqrt{\\frac{p(1-p)}{n}}.\n", "\\end{aligned}\n", "$$\n", "\n", "すなわち,\n", "\n", "$$\n", "\\confint_\\op{Wald}(k|n,\\alpha) =\n", "\\left[\n", "\\phat - z_{\\alpha/2}\\sqrt{\\frac{p(1-p)}{n}},\\;\n", "\\phat + z_{\\alpha/2}\\sqrt{\\frac{p(1-p)}{n}}\\,\n", "\\right].\n", "$$\n", "\n", "Waldの信頼区間は区間 $[0,1]$ をはみ出すことがある." ] }, { "cell_type": "markdown", "id": "eb714c5a", "metadata": {}, "source": [ "### WaldのP値と信頼区間の実装例" ] }, { "cell_type": "code", "execution_count": 13, "id": "d8061131", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "confint_wald (generic function with 1 method)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function pvalue_wald(k, n, p)\n", " p̂ = k/n\n", " sehat = √(p̂*(1 - p̂)/n)\n", " 2ccdf(Normal(0,1), abs(p̂ - p)/sehat)\n", "end\n", "\n", "function confint_wald(k, n, α)\n", " z = cquantile(Normal(0,1), α/2)\n", " p̂ = k/n\n", " sehat = √(p̂*(1 - p̂)/n)\n", " p̂ - z*sehat, p̂ + z*sehat\n", "end" ] }, { "cell_type": "code", "execution_count": 14, "id": "97c4ceb8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (10, 3, 0.05) = (10, 3, 0.05)\n", "ci = confint_wald(k, n, α) |> collect = [0.0159742349106739, 0.5840257650893261]\n" ] }, { "data": { "image/png": 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P-value function for n=$n, k=$k\")" ] }, { "cell_type": "markdown", "id": "d0972b60", "metadata": {}, "source": [ "WaldのP値函数は左右対称になり, 一般に台($0$ でない値を取る範囲)が区間 $[0,1]$ をはみ出す.\n", "\n", "WaldのP値函数とそれに付随する信頼区間はこのように誤差が大きくなってしまうものだが, 信頼区間の計算が簡単になるという利点がある.\n", "\n", "$np$ と $n(1-p)$ が非常に大きければ, Waldの信頼区間はWilsonの信頼区間とほぼぴったり一致するようになり, 二次方程式を解いてWilsonの信頼区間を求めるメリットはなくなる.\n", "\n", "コンピュータで自動的に計算するならば, Wilsonの信頼区間の方を計算するべきだが, 暗算でどんぶり勘定したい場合にはWaldの信頼区間の方が便利である.\n", "\n", "このように統計学的道具にはそれぞれ異なる利点と欠点があり, 適材適所で使い分けるのがよい." ] }, { "cell_type": "markdown", "id": "2d79147b", "metadata": {}, "source": [ "### WaldのP値と信頼区間の構成で使った正規分布近似の粗さの視覚化" ] }, { "cell_type": "code", "execution_count": 15, "id": "8a9cbde0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "plot_bin_normal (generic function with 1 method)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mypdf(dist::DiscreteUnivariateDistribution, x) = pdf(dist, round(Int, x))\n", "\n", "function plot_bin_normal(n, p, p̂;\n", " μ = n*p, σ = √(n*p*(1-p)), σ̂ = √(n*p̂*(1-p̂)),\n", " xlim = (max(-1, μ - 4.5σ), min(n+1, μ + 4.5σ)),\n", " titlehead = \"\", kwargs...)\n", " bin = Binomial(n, p)\n", " normal = Normal(μ, σ̂)\n", " title = titlehead *\n", " \"Bin(n=$n, p=$(@sprintf(\"%.2f\", p))), p̂=$(@sprintf(\"%.2f\", p̂))\"\n", " plot(; legend=:outertop, legendfontsize=10, title)\n", " plot!(x -> mypdf(bin, x), xlim...; label=\"\")\n", " plot!(normal, xlim...; label=\"\", ls=:dash)\n", " plot!(; kwargs...)\n", "end" ] }, { "cell_type": "code", "execution_count": 16, "id": "d573efd4", "metadata": {}, "outputs": [ { "data": { "image/png": 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"\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mSaved animation to D:\\OneDrive\\public\\0036\\Wald_normal_approx.gif\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "Plots.AnimatedGif(\"D:\\\\OneDrive\\\\public\\\\0036\\\\Wald_normal_approx.gif\")" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n, p̂ = 30, 0.3\n", "ps = 0.05:0.01:0.95\n", "ps = [fill(ps[begin], 10); ps; fill(ps[end], 10); reverse(ps)]\n", "anim = @animate for p in ps\n", " plot_bin_normal(n, p, p̂;\n", " xlim=(-1, n+1), ylim=(-0.01, 0.35),\n", " xtick=0:n, ytick=0:0.05:1,\n", " titlehead=\"Wald: \")\n", "end\n", "gif(anim, \"Wald_normal_approx.gif\")" ] }, { "cell_type": "markdown", "id": "36a5cbe6", "metadata": {}, "source": [ "$p$ の値が $0$ または $1$ に近付くと, Wald版の正規分布近似の精度は容易にかつ大幅に悪化することがわかる. その理由はWald版の正規分布近似で使う正規分布の分散が $p$ を動かしても一定の値になっているからである." ] }, { "cell_type": "markdown", "id": "470d9026", "metadata": {}, "source": [ "上の動画は以下の場所で見ることができる:\n", "\n", "* https://github.com/genkuroki/public/blob/main/0036/Wald_normal_approx.gif" ] }, { "cell_type": "code", "execution_count": 18, "id": "a2812dac", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mSaved animation to D:\\OneDrive\\public\\0036\\Wilson_normal_approx.gif\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "Plots.AnimatedGif(\"D:\\\\OneDrive\\\\public\\\\0036\\\\Wilson_normal_approx.gif\")" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n = 30\n", "ps = 0.05:0.01:0.95\n", "ps = [fill(ps[begin], 10); ps; fill(ps[end], 10); reverse(ps)]\n", "anim = @animate for p in ps\n", " plot_bin_normal(n, p, p;\n", " xlim=(-1, n+1), ylim=(-0.01, 0.35),\n", " xtick=0:n, ytick=0:0.05:1,\n", " titlehead=\"Wilson: \")\n", "end\n", "gif(anim, \"Wilson_normal_approx.gif\")" ] }, { "cell_type": "markdown", "id": "301e416f", "metadata": {}, "source": [ "Wilson版の正規分布近似は $p$ が $0$ または $1$ に近付いても精度が大きく悪化し難い." ] }, { "cell_type": "markdown", "id": "d0aee57e", "metadata": {}, "source": [ "上の動画は以下の場所で見ることができる:\n", "\n", "* https://github.com/genkuroki/public/blob/main/0036/Wilson_normal_approx.gif" ] }, { "cell_type": "markdown", "id": "8f2520a7", "metadata": {}, "source": [ "## Clopper-PearsonのP値と信頼区間\n", "\n", "二項分布における確率を正規分布で近似せずに正確に求めることによって定義されるP値と信頼区間の一種がClopper-PearsonのP値と信頼区間である.\n", "\n", "__注意:__ 二項分布モデルでのClopper-Pearosnの信頼区間には, シンプルな良い公式が存在するので(後述), 平易な実装で効率的に計算できるという利点がある. しかし, 一般に離散分布モデルにおいて「片側確率の2倍」で定義されたClopper-Pearosn型のP値は他の流儀のP値の定義よりも過剰に大きくなる傾向があり, Clopper-Pearson型の信頼区間には過剰に広くなる傾向がある.\n", "\n", "__注意:__ ところが非常に困ったことに, トレードオフ(ある利点を得るために別の欠点を受け入れること)の考え方ではなく, 独自の「主義」によって, 「両側検定のP値は片側確率の2倍で定義しなければいけない」と不合理に信じ, そう信じることを他人に勧めている人達がいる. そのような人達の不合理なこだわりに影響を受けないように注意するべきである." ] }, { "cell_type": "markdown", "id": "122eab20", "metadata": {}, "source": [ "### Clopper-PearsonのP値\n", "\n", "データ「$n$ 回中当たりは $k$ 回」に関する「当たりが出る確率は $p$ である」という仮説の __Clopper-PearsonのP値__ を次のように定義する:\n", "\n", "$$\n", "\\pvalue_\\op{CP}(k|n,p) = \\min\n", "\\begin{pmatrix}\n", "1 \\\\\n", "2\\cdf(\\op{Binomial}(n,p), k) \\\\\n", "2\\ccdf(\\op{Binomial}(n,p), k-1) \\\\\n", "\\end{pmatrix}.\n", "$$\n", "\n", "ここで, $\\cdf(\\op{Binomial}(n,p), k)$ と $\\ccdf(\\op{Binomial}(n,p), k-1)$ はそれぞれ, 二項分布において $k$ 以下になる確率と $k$ 以下になる確率なので, この定義はおおよそ「片側検定のP値の2倍」=「片側確率の2倍」になっている. その定義のままだと $1$ より大きくなる場合があるので, $1$ 以下になるようにしてある. " ] }, { "cell_type": "markdown", "id": "c9261dda", "metadata": {}, "source": [ "### 二項分布とベータ分布の関係\n", "\n", "Clopper-PearsonのP値に対応する信頼度 $1-\\alpha$ のClopper-Pearsonの信頼区間を計算するためには, 二項分布とベータ分布の素晴らしい関係が必要になる. 次が成立している:\n", "\n", "$$\n", "\\begin{aligned}\n", "&\n", "\\cdf(\\op{Binomial}(n,p), k) = \\ccdf(\\op{Beta}(k+1, n-k), p) \\quad (0\\le k < n),\n", "\\\\ &\n", "\\ccdf(\\op{Binomial}(n,p), k-1) = \\cdf(\\op{Beta}(k, n-k+1), p) \\quad (0 < k \\le n).\n", "\\end{aligned}\n", "$$\n", "\n", "前者は後者で $k$ を $k+1$ に置き換えれば得られるので, 後者のみを示そう.\n", "\n", "後者は具体的には次が成立するということを意味している:\n", "\n", "$$\n", "\\sum_{i\\ge k}\\binom{n}{i}p^i(1-p)^{n-i} =\n", "\\frac{1}{B(k, n-k+1)}\\int_0^p t^{k-1}(1-t)^{n-k}\\,dt. \n", "$$\n", "\n", "両辺の $p=0$ での値は $0$ になる. \n", "\n", "ゆえに両辺の $p$ に関する導函数が等しいことを示せば, 両辺が等しいことがわかる.\n", "\n", "左辺を $p$ で微分すると以下のようになる:\n", "\n", "$$\n", "\\begin{aligned}\n", "\\frac{\\partial}{\\partial p}\n", "\\sum_{i\\ge k}\\binom{n}{i}p^i(1-p)^{n-i}\n", "& =\n", "\\sum_{i\\ge k}\\binom{n}{i}i p^{i-1}(1-p)^{n-i} -\n", "\\sum_{i\\ge k}\\binom{n}{i}(n-i) p^{i-1}(1-p)^{n-i-1}\n", "\\\\ &=\n", "\\sum_{i\\ge k}\\frac{n!}{(i-1)!(n-i)!} p^{i-1}(1-p)^{n-i} -\n", "\\sum_{i\\ge k}\\frac{n!}{i!(n-i-1)!} p^{i-1}(1-p)^{n-i-1}\n", "\\\\ &=\n", "\\sum_{i\\ge k}\\frac{n!}{(i-1)!(n-i)!} p^{i-1}(1-p)^{n-i} -\n", "\\sum_{i\\ge k+1}\\frac{n!}{(i-1)!(n-i)!} p^{i-1}(1-p)^{n-i-1}\n", "\\\\ &=\n", "\\frac{n!}{(k-1)!(n-k)!} p^{k-1}(1-p)^{n-k}\n", "\\end{aligned}\n", "$$\n", "\n", "右辺を $p$ で微分すると\n", "\n", "$$\n", "\\begin{aligned}\n", "\\frac{1}{B(k, n-k+1)}\\frac{\\partial}{\\partial p}\\int_0^p t^{k-1}(1-t)^{n-k}\\,dt\n", "&=\n", "\\frac{1}{B(k, n-k+1)} p^{k-1}(1-p)^{n-k}\n", "\\\\ &=\n", "\\frac{\\Gamma(k+(n-k+1)}{\\Gamma(k)\\Gamma(n-k+1)} p^{k-1}(1-p)^{n-k}\n", "\\\\ &=\n", "\\frac{n!}{(k-1)!(n-k)!} p^{k-1}(1-p)^{n-k}.\n", "\\end{aligned}\n", "$$\n", "\n", "これで左辺と右辺の導函数が等しいことが証明された.\n", "\n", "__注意:__ 二項分布の累積分布函数と補累積分布函数は素朴に和で実装するよりも, 上の公式を用いて, ベータ分布の補累積分布函数と累積分布函数で計算するようにした方が効率がよい. ベータ分布の累積分布函数は regularized incomplete Beta function としてコンピュータの基本特殊函数ライブラリで効率的に実装されている." ] }, { "cell_type": "code", "execution_count": 19, "id": "3a3a93a5", "metadata": {}, "outputs": [ { "data": { "image/png": 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"cell_type": "code", "execution_count": 20, "id": "7af7c82a", "metadata": {}, "outputs": [ { "data": { "image/png": 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"image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n, k = 10, 3\n", "plot(p -> cdf(Binomial(n,p), k);\n", " label=\"cdf(Binomial(n,p), k)\")\n", "plot!(p -> ccdf(Beta(k+1, n-k), p), 0, 1;\n", " label=\"ccdf(Beta(k+1, n-k), p)\", ls=:dash)\n", "plot!(legend=:topright)\n", "plot!(xguide=\"p\")\n", "plot!(xtick=0:0.1:1, ytick=0:0.1:1)\n", "title!(\"n=$n, k=$k\")" ] }, { "cell_type": "markdown", "id": "09b78e5e", "metadata": {}, "source": [ "ぴったり重なっている." ] }, { "cell_type": "markdown", "id": "39868427", "metadata": {}, "source": [ "### Clopper-Pearsonの信頼区間\n", "\n", "Clopper-PearsonのP値に対応する信頼度 $1-\\alpha$ の __Clopper-Pearsonの信頼区間__\n", "\n", "$$\n", "\\confint_\\op{CP}(k|n,\\alpha) =\n", "\\{\\,p\\mid \\pvalue_\\op{CP}(k|n,p)\\ge\\alpha\\,\\}\n", "$$\n", "\n", "が具体的にどのように表されるかを計算しよう. Clopper-PearsonのP値の定義は\n", "\n", "$$\n", "\\pvalue_\\op{CP}(k|n,p) = \\min\n", "\\begin{pmatrix}\n", "1 \\\\\n", "2\\cdf(\\op{Binomial}(n,p), k) \\\\\n", "2\\ccdf(\\op{Binomial}(n,p), k-1) \\\\\n", "\\end{pmatrix}.\n", "$$\n", "\n", "であった. これは二項分布とベータ分布の関係\n", "\n", "$$\n", "\\begin{aligned}\n", "&\n", "\\cdf(\\op{Binomial}(n,p), k) = \\ccdf(\\op{Beta}(k+1, n-k), p) \\quad (0\\le k < n),\n", "\\\\ &\n", "\\ccdf(\\op{Binomial}(n,p), k-1) = \\cdf(\\op{Beta}(k, n-k+1), p) \\quad (0 < k \\le n).\n", "\\end{aligned}\n", "$$\n", "\n", "を使えば,\n", "\n", "$$\n", "\\pvalue_\\op{CP}(k|n,p) = \\min\n", "\\begin{pmatrix}\n", "1 \\\\\n", "2\\ccdf(\\op{Beta}(k+1, n-k), p) \\\\\n", "2\\cdf(\\op{Beta}(k, n-k+1), p) \\\\\n", "\\end{pmatrix}.\n", "$$\n", "\n", "に書き直される. ゆえに,\n", "\n", "$$\n", "\\begin{aligned}\n", "&\n", "p\\in \\confint_\\op{CP}(k|n,\\alpha)\n", "\\\\ & \\iff\n", "\\pvalue_\\op{CP}(k|n,p)\\ge\\alpha\n", "\\\\ & \\iff\n", "\\ccdf(\\op{Beta}(k+1, n-k), p) \\ge \\alpha/2 \\;\\text{and}\\;\n", "\\cdf(\\op{Beta}(k, n-k+1), p) \\ge \\alpha/2\n", "\\\\ & \\iff\n", "p \\le \\cquantile(\\op{Beta}(k+1, n-k), \\alpha/2) \\;\\text{and}\\;\n", "p \\ge \\quantile(\\op{Beta}(k, n-k+1), \\alpha/2),\n", "\\end{aligned}\n", "$$\n", "\n", "このことより, \n", "\n", "$$\n", "p_L = \\quantile(\\op{Beta}(k, n-k+1), \\alpha/2), \\quad\n", "p_U = \\cquantile(\\op{Beta}(k+1, n-k), \\alpha/2)\n", "$$\n", "\n", "とおくと,\n", "\n", "$$\n", "\\confint_\\op{CP}(k|n,\\alpha) = [p_L, p_U].\n", "$$" ] }, { "cell_type": "markdown", "id": "56c63a6d", "metadata": {}, "source": [ "### Clopper-PearsonのP値と信頼区間の実装例\n", "\n", "以下のようにClopper-PearsonのP値と信頼区間の実装は非常にシンプルになる." ] }, { "cell_type": "code", "execution_count": 21, "id": "f9143a1d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "confint_cp (generic function with 1 method)" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function pvalue_cp(k, n, p)\n", " bin = Binomial(n, p)\n", " min(1, 2cdf(bin, k), 2ccdf(bin, k-1))\n", "end\n", "\n", "function confint_cp(k, n, α)\n", " quantile(Beta(k, n-k+1), α/2), cquantile(Beta(k+1, n-k), α/2)\n", "end" ] }, { "cell_type": "code", "execution_count": 22, "id": "d23bac7e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (10, 3, 0.05) = (10, 3, 0.05)\n", "ci = confint_cp(k, n, α) |> collect = [0.06673951117773444, 0.6524528500599971]\n" ] }, { "data": { "image/png": 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"image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@show n, k, α = 10, 3, 0.05\n", "@show ci = confint_cp(k, n, α) |> collect\n", "\n", "P_CP = plot(p -> pvalue_cp(k, n, p), 0, 1; label=\"\")\n", "plot!(xguide=\"p\", yguide=\"P-value\")\n", "plot!(xtick=0:0.1:1, ytick=0:0.05:1)\n", "plot!(ci, fill(α,2); label=\"$(100(1-α))% CI\")\n", "title!(\"Clopper-Pearson P-value function for n=$n, k=$k\")" ] }, { "cell_type": "markdown", "id": "aa803ebf", "metadata": {}, "source": [ "Clopper-Pearsonの信頼区間は小さめの $n$ については過剰に保守的になることが多い.\n", "\n", "しかし, 上のコードを見れば分かるように, 実装は極めてシンプルである.\n", "\n", "そして, さらにデータが二項分布 $\\op{Binomial}(n,p)$ に従ってランダムに生成されているとき, P値が $\\alpha$ 以下になる確率が確実に $\\alpha$ 以下になってくれるという利点もある." ] }, { "cell_type": "markdown", "id": "f289cd8f", "metadata": {}, "source": [ "## SterneのP値と信頼区間\n", "\n", "SterneのP値と信頼区間も, 二項分布における確率を正規分布で近似せずに正確に求めることによって定義される. \n", "\n", "Sterneの信頼区間の方がClopper-Pearsonの信頼区間よりも概ね狭くなってくれるという利点があるが, Clopper-Pearsonの信頼区間の場合と違ってシンプルな公式がないので, 実装はかなり面倒になる.\n", "\n", "__再注意:__ 独自の「主義」に基く不合理なこだわりによって, 「両側検定のP値は片側確率の2倍で定義しなければいけない」という誤解を積極的に宣伝している人達がいる. そのような人達は, 「片側確率の2倍ではないSterneのP値とそれに対応する信頼区間を使うことは, より小さなP値とより狭い信頼区間を不当な方法で求める行為に近い」のように言って来るかもしれない. そのような不合理な考え方を一切受け入れないように注意した方がよい. Sterneの方法とClopper-Pearsonの方法には互いに異なる利点と欠点がある. どちらを使うかはトレードオフの問題になる." ] }, { "cell_type": "markdown", "id": "072db195", "metadata": {}, "source": [ "### SterneのP値と信頼区間\n", "\n", "データ「$n$ 回中当たりは $k$ 回」に関する「当たりが出る確率は $p$ である」という仮説の __SterneのP値__ を次のように定義する:\n", "\n", "$$\n", "\\pvalue_\\op{Sterne}(k|n,p) = \\sum_{P(i|n,p) \\le P(k|n,p)} P(i|n,p).\n", "$$\n", "\n", "ここで,\n", "\n", "$$\n", "P(i|n,p) = \\binom{n}{i} p^i (1-p)^{n-i} \\quad (i=0,1,\\ldots,n).\n", "$$\n", "\n", "SterneのP値は二項分布 $\\op{Binomial}(n,p)$ 内でデータの数値よりも生じる確率が低い値の確率の総和になる.\n", "\n", "これに対応するSterneの信頼区間は\n", "\n", "$$\n", "\\confint_\\op{Sterne}(k|n,\\alpha) =\n", "\\{\\,p\\mid \\pvalue_\\op{Sterne}(k|n,p)\\ge\\alpha\\,\\}\n", "$$\n", "\n", "であるが, この定義のままだと区間にならない場合があるので, 実装時にはこの集合を含む最小の区間として実装することにする.\n", "\n", "二項分布モデルでのSterneの信頼区間にはシンプルな公式はないので直接的な数値計算で計算する必要がある." ] }, { "cell_type": "markdown", "id": "ba2ae6a7", "metadata": {}, "source": [ "### SterneのP値と信頼区間の実装例\n", "\n", "効率的でない実装でよいならば, P値函数の実装の仕方は" ] }, { "cell_type": "code", "execution_count": 23, "id": "1a08bb52", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "pvalue_sterne_naive (generic function with 1 method)" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x ⪅ y = x < y || x ≈ y\n", "\n", "function pvalue_sterne_naive(k, n, p)\n", " bin = Binomial(n, p)\n", " sum(pdf(bin, i) for i in support(bin) if pdf(bin, i) ⪅ pdf(bin, k))\n", "end" ] }, { "cell_type": "markdown", "id": "c95399aa", "metadata": {}, "source": [ "で十分だが, 次のセルのように計算は非常に遅くなる." ] }, { "cell_type": "code", "execution_count": 24, "id": "e961890a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 2.996687 seconds\n", " 3.001059 seconds\n", " 3.137191 seconds\n" ] }, { "data": { "text/plain": [ "5.35489885976154e-12" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@time pvalue_sterne_naive(3*10^6, 10*10^6, 0.301)\n", "@time pvalue_sterne_naive(3*10^6, 10*10^6, 0.301)\n", "@time pvalue_sterne_naive(3*10^6, 10*10^6, 0.301)" ] }, { "cell_type": "markdown", "id": "c2194bf8", "metadata": {}, "source": [ "__注意:__ 上で, $x\\le y$ ではなく, $x \\lessapprox y$ を使っている理由は, 数学的に $\\pdf(\\op{bin}, j)=\\pdf(\\op{bin}, k)$ が成立していても, 浮動小数点数の計算では $\\pdf(\\op{bin}, j)\\ne\\pdf(\\op{bin}, k)$ となってしまうかもしれないからである. そのような場合に $\\le$ を使うとバグが発生することになる." ] }, { "cell_type": "markdown", "id": "40131a73", "metadata": {}, "source": [ "以下はより最適化されたSterneのP値函数の実装である. かなり複雑になっている." ] }, { "cell_type": "code", "execution_count": 25, "id": "0793a3e9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "confint_sterne (generic function with 1 method)" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x ⪅ y = x < y || x ≈ y\n", "\n", "_pdf_le(x, (dist, y)) = pdf(dist, x) ⪅ y\n", "\n", "function _search_boundary(f, x0, Δx, param)\n", " x = x0\n", " if f(x, param)\n", " while f(x - Δx, param) x -= Δx end\n", " else\n", " x += Δx\n", " while !f(x, param) x += Δx end\n", " end\n", " x\n", "end\n", "\n", "function pvalue_sterne(dist::DiscreteUnivariateDistribution, x)\n", " Px = pdf(dist, x)\n", " Px == 0 && return Px\n", " Px == 1 && return Px\n", " m = mode(dist)\n", " Px ≈ pdf(dist, m) && return one(Px)\n", " if x < m\n", " y = _search_boundary(_pdf_le, 2m - x, 1, (dist, Px))\n", " cdf(dist, x) + ccdf(dist, y-1)\n", " else # x > m\n", " y = _search_boundary(_pdf_le, 2m - x, -1, (dist, Px))\n", " cdf(dist, y) + ccdf(dist, x-1)\n", " end\n", "end\n", "\n", "function pvalue_sterne(k, n, p)\n", " pvalue_sterne(Binomial(n, p), k)\n", "end\n", "\n", "function confint_sterne(k, n, α)\n", " a, b = confint_cp(k, n, α/10)\n", " ps = find_zeros(a-√eps(), b+√eps()) do p\n", " logit(0 < p ≤ 1 ? pvalue_sterne(k, n, p) : zero(p)) - logit(α)\n", " end\n", " first(ps), last(ps)\n", "end" ] }, { "cell_type": "markdown", "id": "8c3b528b", "metadata": {}, "source": [ "上のセルでのSterneのP値函数の実装結果は大幅に高速化されている!" ] }, { "cell_type": "code", "execution_count": 26, "id": "bbe0cac0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 0.028359 seconds (8 allocations: 1.875 KiB)\n", " 0.000011 seconds (8 allocations: 1.875 KiB)\n", " 0.000009 seconds (8 allocations: 1.875 KiB)\n" ] }, { "data": { "text/plain": [ "5.354898860502031e-12" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@time pvalue_sterne(3*10^6, 10*10^6, 0.301)\n", "@time pvalue_sterne(3*10^6, 10*10^6, 0.301)\n", "@time pvalue_sterne(3*10^6, 10*10^6, 0.301)" ] }, { "cell_type": "markdown", "id": "1296f9a7", "metadata": {}, "source": [ "この高速化によって, Sterneの信頼区間の計算も十分に高速化されることになる." ] }, { "cell_type": "code", "execution_count": 27, "id": "87d672b9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 0.151747 seconds (58.19 k allocations: 3.821 MiB, 97.06% compilation time)\n", " 0.002909 seconds (11.11 k allocations: 2.317 MiB)\n", " 0.002007 seconds (11.11 k allocations: 2.317 MiB)\n" ] }, { "data": { "text/plain": [ "(0.2995232976841354, 0.30047704792862706)" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@time confint_sterne(3*10^6, 10*10^6, 0.001)\n", "@time confint_sterne(3*10^6, 10*10^6, 0.001)\n", "@time confint_sterne(3*10^6, 10*10^6, 0.001)" ] }, { "cell_type": "code", "execution_count": 28, "id": "e8ecabe5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (10, 3, 0.05) = (10, 3, 0.05)\n", "ci = confint_sterne(k, n, α) |> collect = [0.08726443391415024, 0.6194106589132863]\n" ] }, { "data": { "image/png": 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", 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"title!(\"Sterne's P-value function for n=$n, k=$k\")" ] }, { "cell_type": "markdown", "id": "183a5375", "metadata": {}, "source": [ "SterneのP値函数はこのように不連続函数になる." ] }, { "cell_type": "markdown", "id": "bbe8d6f3", "metadata": {}, "source": [ "## 4種のP値函数と信頼区間を同時にプロット" ] }, { "cell_type": "code", "execution_count": 29, "id": "8cbf4f9f", "metadata": {}, "outputs": [ { "data": { "image/png": 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"execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot(P_Wilson, P_Wald, P_CP, P_Sterne; layout=(2, 2), size=(800, 500))" ] }, { "cell_type": "markdown", "id": "864f6cce", "metadata": {}, "source": [ "P値函数のグラフの形は以下のようになる:\n", "\n", "* 正規分布近似(中心極限定理)を使って構成されたWilsonのP値函数とWaldのP値函数のグラフは「とんがり帽子」の形になる.\n", "* WaldのP値函数のグラフは頂点について左右対称になるが, WilsonのP値函数はそうならない.\n", "* Clopper-PearsonのP値函数は人為的に値が $1$ を超えないようにしているので, そのグラフは「天辺が切れて平らになったとんがり帽子」の形になる.\n", "* SterneのP値函数は連続にもならないし, 広義でも単峰型にならない.\n", "\n", "このようにP値を定義する手法によってP値函数のグラフは異なる形になる.\n", "\n", "しかし, $n$ が十分に大きければ, これらのP値函数は近似的に一致するようになる. そのような場合には, どのP値函数を使っても結果はほぼ同じになる.\n", "\n", "信頼度 $1-\\alpha$ の信頼区間(CI, confidence interval)はP値函数のグラフを高さ $\\alpha$ で切断する線分になる." ] }, { "cell_type": "code", "execution_count": 30, "id": "e1f41e56", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (10, 3, 0.05) = (10, 3, 0.05)\n", "confint_wilson(k, n, α) = (0.10779126740630075, 0.6032218525388553)\n", "confint_wald(k, n, α) = (0.0159742349106739, 0.5840257650893261)\n", "confint_cp(k, n, α) = (0.06673951117773444, 0.6524528500599971)\n", "confint_sterne(k, n, α) = (0.08726443391415024, 0.6194106589132863)\n" ] }, { "data": { "image/png": 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"image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@show n, k, α = 10, 3, 0.05\n", "@show confint_wilson(k, n, α)\n", "@show confint_wald(k, n, α)\n", "@show confint_cp(k, n, α)\n", "@show confint_sterne(k, n, α)\n", "\n", "plot()\n", "plot!(p -> pvalue_wilson(k, n, p), -0.1, 0.8; label=\"Wilson\")\n", "plot!(p -> pvalue_wald(k, n, p); label=\"Wald\", ls=:dash)\n", "plot!(p -> pvalue_cp(k, n, p); label=\"Clopper-Pearson\", ls=:dashdot)\n", "plot!(p -> pvalue_sterne(k, n, p); label=\"Sterne\", ls=:dashdotdot)\n", "plot!(xguide=\"p\", yguide=\"P-value\")\n", "plot!(xtick=0:0.1:1, ytick=0:0.05:1)\n", "title!(\"P-value functions for n=$n, k=$k\")" ] }, { "cell_type": "code", "execution_count": 31, "id": "11d3328c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (30, 9, 0.05) = (30, 9, 0.05)\n", "confint_wilson(k, n, α) = (0.1666474826824377, 0.4787578745871499)\n", "confint_wald(k, n, α) = (0.13601764806888816, 0.4639823519311118)\n", "confint_cp(k, n, α) = (0.14734518475470101, 0.49395904146255365)\n", "confint_sterne(k, n, α) = (0.16323067162201024, 0.48314417772285406)\n" ] }, { "data": { "image/png": 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", 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pvalue_wald(k, n, p); label=\"Wald\", ls=:dash)\n", "plot!(p -> pvalue_cp(k, n, p); label=\"Clopper-Pearson\", ls=:dashdot)\n", "plot!(p -> pvalue_sterne(k, n, p); label=\"Sterne\", ls=:dashdotdot)\n", "plot!(xguide=\"p\", yguide=\"P-value\")\n", "plot!(xtick=0:0.05:1, ytick=0:0.05:1)\n", "title!(\"P-value functions for n=$n, k=$k\")" ] }, { "cell_type": "code", "execution_count": 32, "id": "b5132abd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (100, 30, 0.05) = (100, 30, 0.05)\n", "confint_wilson(k, n, α) = (0.21894885294932742, 0.39584854633346683)\n", "confint_wald(k, n, α) = (0.21018316681457921, 0.38981683318542076)\n", "confint_cp(k, n, α) = (0.21240642048953662, 0.39981467617980404)\n", "confint_sterne(k, n, α) = (0.21419730401454767, 0.3996107372232877)\n" ] }, { "data": { "image/png": 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"image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@show n, k, α = 100, 30, 0.05\n", "@show confint_wilson(k, n, α)\n", "@show confint_wald(k, n, α)\n", "@show confint_cp(k, n, α)\n", "@show confint_sterne(k, n, α)\n", "\n", "plot()\n", "plot!(p -> pvalue_wilson(k, n, p), 0.15, 0.5; label=\"Wilson\")\n", "plot!(p -> pvalue_wald(k, n, p); label=\"Wald\", ls=:dash)\n", "plot!(p -> pvalue_cp(k, n, p); label=\"Clopper-Pearson\", ls=:dashdot)\n", "plot!(p -> pvalue_sterne(k, n, p); label=\"Sterne\", ls=:dashdotdot)\n", "plot!(xguide=\"p\", yguide=\"P-value\")\n", "plot!(xtick=0:0.05:1, ytick=0:0.05:1)\n", "title!(\"P-value functions for n=$n, k=$k\")" ] }, { "cell_type": "markdown", "id": "e75df479", "metadata": {}, "source": [ "$n$ を大きくすると, 4種のP値函数はほぼ一致するようになる." ] }, { "cell_type": "code", "execution_count": 33, "id": "d9c34083", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (300, 90, 0.05) = (300, 90, 0.05)\n", "confint_wilson(k, n, α) = (0.25093966378487664, 0.3541175247049418)\n", "confint_wald(k, n, α) = (0.2481442271826376, 0.3518557728173624)\n", "confint_cp(k, n, α) = (0.2486815765240469, 0.3553195044630606)\n", "confint_sterne(k, n, α) = (0.24972109503883086, 0.3548448258761688)\n" ] }, { "data": { "image/png": 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pvalue_cp(k, n, p); label=\"Clopper-Pearson\", ls=:dashdot)\n", "plot!(p -> pvalue_sterne(k, n, p); label=\"Sterne\", ls=:dashdotdot)\n", "plot!(xguide=\"p\", yguide=\"P-value\")\n", "plot!(xtick=0:0.05:1, ytick=0:0.05:1)\n", "title!(\"P-value functions for n=$n, k=$k\")" ] }, { "cell_type": "markdown", "id": "231548c0", "metadata": {}, "source": [ "## ベイズ統計での信用区間に対応するP値函数\n", "\n", "P値函数と区間推定の表裏一体性については, 私のツイログの検索を参照せよ:\n", "\n", "* [P値 信頼区間 表裏一体](https://twilog.org/genkuroki/search?word=P%E5%80%A4%20%E4%BF%A1%E9%A0%BC%E5%8C%BA%E9%96%93%20%E8%A1%A8%E8%A3%8F%E4%B8%80%E4%BD%93&ao=a)\n", "\n", "区間推定の方法には, 通常の信頼区間以外にも, ベイズ統計の __信用区間__ (credible interval, 確信区間)の方法もある.\n", "\n", "ゆえに, P値函数と区間推定の表裏一体性より, ベイズ統計の方法を使っても, P値函数を構成することができる.\n", "\n", "ベイズ版のP値函数と通常のP値函数を比較したい." ] }, { "cell_type": "markdown", "id": "4fb55cf2", "metadata": {}, "source": [ "### 二項分布モデルのHDI版信用区間\n", "\n", "簡単のため共役事前分布の場合のみを扱おう.\n", "\n", "二項分布モデルのベイズ統計では以下の手続きでパラメータ $p$ の事後分布が得られる.\n", "\n", "(1) パラメータ $p$ の事前分布 $\\op{prior}=\\op{Beta}(a, b)$ ($a,b>0$)を任意に用意する.\n", "\n", "(2) 「$n$ 回中当たりが $k$ 回」の型のデータを取得する.\n", "\n", "(3) パラメータ $p$ の事後分布 $\\op{posterior}=\\op{Beta}(k+a, n-k+b)$ が得られる.\n", "\n", "この手続きの中身については任意のベイズ統計に関する教科書を参照せよ.\n", "\n", "このとき, パラメータ $p$ に関する $100(1-\\alpha)\\%$ 信用区間が次のように定義される.\n", "\n", "(4) $[0,1]$ に含まれる区間 $[p_L, p_U]$ で事後分布で測ったその区間に含まれる確率が\n", "\n", "$$\n", "\\cdf(\\op{posterior}, p_U) - \\cdf(\\op{posterior}, p_L) = 1 - \\alpha\n", "$$\n", "\n", "となるものの中で長さ $p_U - p_L$ が最小のものを highest density interval (HDI, 最高密度区間)として定義された信用度 $1-\\alpha$ の __信用区間__ と呼び, 次のように表す:\n", "\n", "$$\n", "\\credint_\\op{HDI}(k|n,p,a,b) = [p_L, p_U].\n", "$$\n", "\n", "ベータ分布の確率密度函数を\n", "\n", "$$\n", "\\pdf(\\op{Beta}(a,b), t) = \\frac{1}{B(a,b)} t^{a-1}(1-t)^{b-1} \n", "$$\n", "\n", "と書くと, HDI版信用区間 $[p_L, p_U]$ について,\n", "\n", "$$\n", "\\pdf(\\op{Beta}(k+a, n-k+b), p_L) =\n", "\\pdf(\\op{Beta}(k+a, n-k+b), p_U)\n", "$$\n", "\n", "が成立しており, この条件と上の確率に関する条件でHDI版信用区間は一意に特徴付けられる.\n", "\n", "__注意:__ 実際の実装では,\n", "\n", "$$\n", "p_L = \\quantile(\\op{posterior}, t), \\quad\n", "p_U = \\quantile(\\op{posterior}, t + (1 - α))\n", "$$\n", "\n", "のあいだの長さ,\n", "\n", "$$\n", "f(t) = p_U - p_L =\n", "\\quantile(\\op{posterior}, t + (1 - α)) - \\quantile(\\op{posterior}, t)\n", "$$\n", "\n", "を最小化する $t$ を求め, それに対応する区間 $[p_L, p_U]$ としてHDI版信用区間を計算する." ] }, { "cell_type": "markdown", "id": "0e2acc38", "metadata": {}, "source": [ "### HDI版信用区間に対応するP値函数\n", "\n", "HDI版信用区間に対応するP値函数 $\\pvalue_\\op{HDI}(k|n,p,a,b)$ は以下のように定義される.\n", "\n", "与えられた値 $p$ に対して, $t$ に関する方程式\n", "\n", "$$\n", "\\pdf(\\op{Beta}(k+a, n-k+b), t) =\n", "\\pdf(\\op{Beta}(k+a, n-k+b), p)\n", "$$\n", "\n", "の2つの解を $p_L\\le p_U$ と書き, \n", "\n", "$$\n", "\\pvalue_\\op{HDI}(k|n,p,a,b) =\n", "\\cdf(\\op{Beta}(k+a, n-k+b), p_L) + \n", "\\ccdf(\\op{Beta}(k+a, n-k+b), p_U).\n", "$$\n", "\n", "これを, __ベイズ版P値函数__ (Bayesian P-value function)のHDI版と呼ぶ." ] }, { "cell_type": "markdown", "id": "6ca24342", "metadata": {}, "source": [ "### HDI版の信用区間とそれに対応するベイズ版P値函数の実装例" ] }, { "cell_type": "code", "execution_count": 34, "id": "02be5d1f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "credint_hdi (generic function with 1 method)" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function hdi(dist::ContinuousUnivariateDistribution, α = 0.05; alg = Brent())\n", " f(t) = quantile(dist, t + (1 - α)) - quantile(dist, t)\n", " o = optimize(f, 0, α, alg)\n", " p = o.minimizer\n", " quantile.(dist, (p, p + (1 - α)))\n", "end\n", "\n", "function pvalue_hdi(dist::ContinuousUnivariateDistribution, x₀; xlim = extrema(dist))\n", " p₀ = pdf(dist, x₀)\n", " m = mode(dist)\n", " f(x) = pdf(dist, x) - p₀\n", " if x₀ == m\n", " 1.0\n", " elseif x₀ > m\n", " x₁ = find_zero(f, (xlim[begin], m))\n", " cdf(dist, x₁) + ccdf(dist, x₀)\n", " else\n", " x₁ = find_zero(f, (m, xlim[end]))\n", " cdf(dist, x₀) + ccdf(dist, x₁)\n", " end\n", "end\n", "\n", "function pvalue_hdi(k, n, p; a=1, b=1)\n", " posterior = Beta(k+a, n-k+b)\n", " if k+a ≤ 1\n", " return ccdf(posterior, p)\n", " elseif n-k+b ≤ 1\n", " return cdf(posterior, p)\n", " end\n", " pvalue_hdi(posterior, p)\n", "end\n", "\n", "function credint_hdi(k, n, α; a=1, b=1)\n", " posterior = Beta(k+a, n-k+b)\n", " hdi(posterior, α)\n", "end" ] }, { "cell_type": "code", "execution_count": 35, "id": "25bc224a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (10, 3, 0.05) = (10, 3, 0.05)\n", "(a, b) = (1, 1) = (1, 1)\n", "ci = credint_hdi(k, n, α; a, b) |> collect = [0.09337233277687074, 0.5879525589019585]\n" ] }, { "data": { "image/png": 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", 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CI (HDI)\")\n", "title!(\"Bayesian P-value function for n=$n, k=$k, a=$a, b=$b\")" ] }, { "cell_type": "markdown", "id": "0366095a", "metadata": {}, "source": [ "このグラフも通常のP値函数と信頼区間と同様に,\n", "\n", "* データの数値とパラメータ値の相性の良さ(両立性, compatibility)\n", "\n", "を表すグラフだと解釈可能である. この解釈は次の事後分布のグラフにもそのまま一般化される." ] }, { "cell_type": "code", "execution_count": 36, "id": "987fc431", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (10, 3, 0.05) = (10, 3, 0.05)\n", "(a, b) = (1, 1) = (1, 1)\n", "ci = credint_hdi(k, n, α; a, b) |> collect = [0.09337233277687074, 0.5879525589019585]\n" ] }, { "data": { "image/png": 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", "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@show n, k, α = 10, 3, 0.05\n", "@show a, b = 1, 1\n", "@show ci = credint_hdi(k, n, α; a, b) |> collect\n", "\n", "f(p) = pdf(Beta(k+a, n-k+b), p)\n", "Q_HDI = plot(f, 0, 1; label=\"\")\n", "plot!(xguide=\"p\", yguide=\"probability density\")\n", "plot!(xtick=0:0.1:1)\n", "plot!(ci, fill(f(ci[end]), 2); label=\"$(100(1-α))% CI (HDI)\")\n", "title!(\"Posterior for n=$n, k=$k, a=$a, b=$b\")" ] }, { "cell_type": "markdown", "id": "df719d91", "metadata": {}, "source": [ "### WilsonのP値函数とベイズ版P値函数のHDI版の比較\n", "\n", "この節の目的は通常のP値函数とベイズ版P値函数を比較することであった.\n", "\n", "以下では, 通常のP値函数の代表例としてWilsonのP値函数を選び, ベイズ版P値函数の代表例として一様事前分布 $\\op{Beta}(1,1)$ から得られるベイズ版P値函数を選んで比較することにする." ] }, { "cell_type": "markdown", "id": "f031af4d", "metadata": {}, "source": [ "上のベイズ版P値函数をWilsonのP値函数と重ねてプロットしてみよう." ] }, { "cell_type": "code", "execution_count": 37, "id": "67ea805c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (10, 3, 0.05) = (10, 3, 0.05)\n", "(a, b) = (1, 1) = (1, 1)\n" ] }, { "data": { "image/png": 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", "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@show n, k, α = 10, 3, 0.05\n", "@show a, b = 1, 1\n", "\n", "plot(p -> pvalue_hdi(k, n, p; a, b), 0, 1; label=\"Bayesian (HDI)\")\n", "plot!(p -> pvalue_wilson(k, n, p); label=\"Wilson\", ls=:dash)\n", "plot!(xguide=\"p\", yguide=\"P-value\")\n", "plot!(xtick=0:0.1:1, ytick=0:0.05:1)\n", "title!(\"P-value functions for n=$n, k=$k, a=$a, b=$b\")" ] }, { "cell_type": "markdown", "id": "a52211ca", "metadata": {}, "source": [ "ベイズ版P値函数が通常のWilsonのP値函数によく一致していることが確認された.\n", "\n", "$n$, $k$ を大きくすると違いはさらに小さくなる." ] }, { "cell_type": "code", "execution_count": 38, "id": "af3e44d5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (30, 9, 0.05) = (30, 9, 0.05)\n", "(a, b) = (1, 1) = (1, 1)\n" ] }, { "data": { "image/png": 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ytick=0:0.05:1)\n", "title!(\"P-value functions for n=$n, k=$k, a=$a, b=$b\")" ] }, { "cell_type": "code", "execution_count": 39, "id": "a774c93c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (100, 30, 0.05) = (100, 30, 0.05)\n", "(a, b) = (1, 1) = (1, 1)\n" ] }, { "data": { "image/png": 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a=$a, b=$b\")" ] }, { "cell_type": "markdown", "id": "9e3c3dc6", "metadata": {}, "source": [ "$n=100$, $k=30$ ではほぼぴったり重なっている!" ] }, { "cell_type": "markdown", "id": "d727e4d7", "metadata": {}, "source": [ "### 二項分布モデルのETI版の信用区間とそれに対応するP値\n", "\n", "ETI版の信用区間に対応するP値は以下のように「片側確率の2倍」で定義されるので, Clopper-PearsonのP値のベイズ版であると考えられる.\n", "\n", "$\\op{posterior}$ は事後分布を表すことにする:\n", "\n", "$$\n", "\\op{posterior} = \\op{Beta}(k+a, n-k+b).\n", "$$\n", "\n", "HDI版ではなく, equal tailed interval (ETI, 等裾区間, とうきょくかん)版の信用区間も定義しておこう:\n", "\n", "$$\n", "\\credint_\\op{ETI}(k|n,p,a,b) =\n", "\\left[\n", "\\quantile(\\op{posterior}, \\alpha/2),\\;\n", "\\cquantile(\\op{posterior}, \\alpha/2)\n", "\\right].\n", "$$\n", "\n", "これに対応するP値函数は次になる:\n", "\n", "$$\n", "\\pvalue_\\op{ETI}(k|n,p,a,b) = \\min\\begin{pmatrix}\n", "1 \\\\\n", "2\\cdf(\\op{posterior}, p) \\\\\n", "2\\ccdf(\\op{posterior}, p) \\\\\n", "\\end{pmatrix}.\n", "$$" ] }, { "cell_type": "markdown", "id": "c5b1258d", "metadata": {}, "source": [ "### ETI版の信用区間とそれに対応するベイズ版P値函数の実装例" ] }, { "cell_type": "code", "execution_count": 40, "id": "dae4468a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "credint_eti (generic function with 1 method)" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function pvalue_eti(k, n, p; a=1//3, b=1//3)\n", " posterior = Beta(k+a, n-k+b)\n", " min(1, 2cdf(posterior, p), 2ccdf(posterior, p))\n", "end\n", "\n", "function credint_eti(k, n, α; a=1//3, b=1//3)\n", " posterior = Beta(k+a, n-k+b)\n", " quantile(posterior, α/2), cquantile(posterior, α/2)\n", "end" ] }, { "cell_type": "code", "execution_count": 41, "id": "eef231cb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (10, 3, 0.05) = (10, 3, 0.05)\n", "(a, b) = (1 / 2, 1 / 2) = (0.5, 0.5)\n", "ci = credint_eti(k, n, α; a, b) |> collect = [0.0926945939381532, 0.6058183181486713]\n" ] }, { "data": { "image/png": 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", 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label=\"$(100(1-α))% CI (ETI)\")\n", "title!(\"Bayesian P-value function for n=$n, k=$k, a=$a, b=$b\")" ] }, { "cell_type": "markdown", "id": "120aac66", "metadata": {}, "source": [ "### WilsonのP値函数とベイズ版P値函数のETI版の比較\n", "\n", "ベイズ版P値函数のETI版は, Jeffreys事前分布 $\\op{Beta}(1/2, 1/2)$ の場合にWilsonのP値とよく一致することを確認しよう.\n", "\n", "Jeffreys事前分布は一様事前分布と共に __無情報事前分布__ の代表例である." ] }, { "cell_type": "code", "execution_count": 42, "id": "ae2d1ac1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (10, 3, 0.05) = (10, 3, 0.05)\n", "(a, b) = (1 / 2, 1 / 2) = (0.5, 0.5)\n" ] }, { "data": { "image/png": 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olK1bt7LZ7LS0NEdHRwRB8AFVFEUdHR3NzMxiYmL4fD6LxYqKihKPxxBHfEAVwzAvLy9LS8vs7Oyamprdu3fLycmJD6iKh3zhEQXPnj3DMKyqqkpPT8/FxSUjIwNF0by8vNDQULzakCFDpkyZkpKSgodCig+oVldXa2tru7u7l5SUfP36dd26dWQyGR8VxHvZt27dIsQRQ7sFBQW///47HplQW1vr6+trZWXV5KWJD6jy+XwzM7Phw4fn5OSw2ezdu3cDsWFMbW1tPFSpSfAB1fj4eKJkxowZ06dPb65+k7x48SIyMnLlypUAgIiIiMjISDyuFMOw48ePk8nk69ev8/l8/C1FTNWprq5mMplnzpxp3KB4tExiYqKWltacOXMkDyl5+/bt3r17ExMTy8rKUlJSfvjhBwAAISghIYHJZIqPKBLs3LlTTU0tOTlZKBQ+fvwYfzEnJydL/lNERUUhCBIQEMDj8Z48eSIvL+/v709clJGR0bFjx/DdXbt2PXz4MC8vLycn58iRI3Jycr6+vkQ7vr6+M2bMaFLEmDFjaDTaxo0b6+rqioqKXFxcLC0t2zTOeeDAASqVGhISwufzT5w4gSDI7du38UPx8fFGRkbPnz/Hd3/88cfnz58XFxd/+PAB78MFBgZKLqgrAI27RHh4eMyaNUvCytevX1dTU3NychIvjIuL69OnD4IgFArF09Nzy5Ytw4cPxw+dPn3a2NiYqPnHH3/gXS11dfWQkBAtLS0i0KWysnLOnDlUKhXvymlpae3bt69JHWxtbQ8fPkzsZmVl4d+8CILMnDlz/fr1RHjvtm3bxOOv8cEl4hZ///79qFGjAAAkEolCofznP/8hLmfEiBFaWlpqampFRUXZ2dkMBiMpKQk/mpCQQIjT0dG5ceMGXi4UCtXU1O7evUuI+/XXX3FNCgoKLC0tEQTBv7Lt7OyasyympqZ4vATOx48f8fEP3FksHsdpZmbWpAHFKSgoUFNTe/36NVGyaNGiBQsWNFe/SRwdHdX+DRFph6Lozz//jI9FMxiMHTt2EGfl5eUBAK5evdq4QTabraamFhERge+mpaWZmpquXLlSQhOWnJyMdyxw+vTpc+TIEeLogwcPQDMTiVks1tixYwEAFAqlb9++ly9fVlNTazKQsQWCgoLw4UoKhbJo0SJi3gCLxWIwGEQsjZ+fH/5fBgAoKCgsXbpUPJ5n0KBBzRn3KVOmrFixYtq0afhnioWFhfg0aUkQiURr167Fny8FBQXxxyc6OprBYBDzIQYNGkS47LS0tHbt2tXtAiL/5eGFdCgikaioqEhBQaFVHx+fzy8sLDQ0NGzyK57NZpeVlSkoKEj4JUtQUlJCpVLx6J02UVFRwWKxdHV1JRnyIigsLBQIBPhUeAlPYbFYFRUVqqqqEg48EpSWlrLZbPGR4S4C/s/S09MTD1m5fPlyQEBAenp6B2n79evXL1++aGhoiEeGAAB+/fXX5OTk+/fvN3fily9fOByOgYHBNw/R47duY9EN4PF4ZWVlZDJZX19f3CtSU1OjpaWVkJBA+Nma05PNZhsZGUniUWlMXV1deXm5vr4+/uptDvx/h8/Y+AYpMgcadwikszl//ry2tranp2cnyw0ICJg8eXLLdlO2pKSkhISEbNu2TdaK9ASgcYdAIJAeCEz5C4FAID0QaNwhEAikBwKNOwQCgfRAoHGHQCCQHgg07hAIBNIDgcYdAoFAeiDQuEMgEEgPBBp3CAQC6YFA4w6BQCA9kK5r3E+fPr19+/ZWq3G53E5QBoomwBe0k4logUDQIHt7p4GiKI/Hk4lo0FvvtN4pGl8uUSpNdV3jzmKx8PSnLSOrp73XisbTE8pENIqiRHb7TgbDMFmJBr31TuudoqX4fHVd4w6BQCCQb0b6xr2yslJ8dTECHo+XkJAgvlhXeXl5QkJCgyXfIBAIBNJ+pGzcN27cOGXKlDlz5jQo53A4Y8eODQ8Pnzp1akJCAgDg+fPn3t7eYWFhbm5u0L5DIBCIdJGycd+/f//Vq1cblwcHB48ePXr79u2HDh0KDAwEAOzdu/f06dMBAQFDhw5tcqloCAQCgXwznbRszfv37+3s7AAANjY2Hz58AAB8/PgRXw/M2tr6w4cP06ZNa3BKdXV1cnLyqVOn8F0EQXx9fZWVlRtUE4lEIpGowy+gKXqzaAzDCtmYgcK3rIPTHtEIgsjkwkX/0PmiQRf4d0PRnSy61TFVEonU6ipUnWTciQXLSSSSQCAAAGAYhitHJpPxkgaw2ezS0tI3b97gu3Q6fdy4ceJrleEIBIImT+8Eeq1oCoVSJyINCCHfcBa56Xde5IxAIEAQ5NtWVmsnIpEIv/DOFw068d/N5/OLiorES9hstoKCQieIbkxvE02lUg0MDAQCAZlMbnWZQxqN1lWMu4mJSU5ODgAgOzubyWQCAPr06VNQUGBoaJidnW1qatr4FAMDA3d3d9yH0wICgaDlhRA7jt4pWsjnCWJCH5vNQjFRSCFlElPS9VHbD27ZibWVOxORSEQikXr8v/v06dPbtm0TX8CW6IR1Pr1NdEFBQWZmpra2tpyc3DevYSuOlI37y5cvo6KiiouLg4KCvL295eXl58+ff+vWLV9f3wkTJpiaml66dGnFihUAgJUrV65fv97X1zcsLOzp06fSVQPSQfA/f8RoCpyXf8fWj9psa3w4TSRAyVQYT9tT4PF4S5cu3bdvn6wV6Y1YWFhId6KclJ9LBoNhamq6c+dONTU1MplMo9EWL14MANDU1AwJCamqqvrll18mT54MAJg5c+aaNWtqa2vv3bvX2JMO6ZpUX/0dramgWDuqfoxZOZDUXwV5WgzX4IVAuiJS7rkPGjRo0KBB4iXjx4/HNwwNDZcsWSJ+yNHR0dHRUboKQDoOQWk+Ws+lGJjFV9KnJh5Wp/v5mJBu56LuBp3nmYFAIBICv6ghksJNes6wdQIIcqneTA2pF5Tme5sgd/NRocym5UMgkGaBxh0iKdykGHlbp3oR+LsIKA525ibGGCsiJkpIVAn0zEAgXY4OMe7NzTiVYV49SDsRlH1G6zk0Y4snJcggdaAxxImTFAMAwD0zstYOAoE0RMrG/fPnz6NHj54xY8acOXPEZwEIhcIZM2bMnDlz9OjRiYmJAIDr168PGjTIzc3Nzc2NxWJJVw2I1OEmxTIGOQIEuVtI9jYh0Qz7A6FAUJzrbYLcyUdFsO8OgXQxpGzc9+zZs379+tDQUDU1tfv37xPl4eHh6urqoaGhFy5cWL9+PQCAx+MtWrQoMjIyMjJSSUlJumpApA43JZYxyFGAgodFyBQjABBEyW0WWs9hKiEGCkhMKbTukG5AXl5eTExMOxtBUfTevXvtaeHZs2dfv35tpxqtImXj/vr1aycnJwCAk5PT69eviXIWi6WhoQEA0NDQePXqFV549uxZT0/PoKCgJpvi8XhlZWVv/+Hdu3eymhAMwfg8hEShm1g+Lcb6KwM864DCCHc60xIA4GNCupUDPTOQbyQxMRGfnkYikfT19VeuXNlxmQSfP3/e6rzIVrl06dLDhw/xbQsLC4oYK1asWLt2LaUR48aNy83NpVAo9fX1AIDU1NSdO3e292JaQ8qhkHV1dfLy8gAABQUFcWfLhAkTDhw4oK2t/fbtWwqFIhQKJ0yY4OXlhaLo3LlzdXR0pkyZ0qCpvLy8iIiItLQ0fJdKpQYFBTWey8pms2U1ja1XiZZftruOzb6eRZmgw6+rA+Iz6Dx0kHGp1D02XHIHa8Tj8WQ4Q5XP58uqe9Fp/25Z5Wel0Wj4gFxBQYGbm9vp06d/+OGHjhA0b968efPmtacFDMP27NkTEhKC7wqFwuDg4Abm69ChQwCArVu3vn///vbt23hhTk4OkTRm8eLFTCbT39+/wWRgDodTV1cnFApbnaEqLy/fah0pG3d9ff3i4mJjY+OioqI+ffoQ5ZqamtHR0a9evRo/fjxu37W1tfFDPj4+iYmJjY27ubn5/PnzW33NYhimqKgo3auQkN4mWoSBh8WCJ2PJiooM8RvLRhHoKwiT6hRc9DrWAFGpVNka98apjTqHTvt3y+S3FcfQ0NDW1rakpAQAIBAIfH193717JxAIhg4deuLEiT59+ly7du3Nmze///47Xn/37t3KysqrV68uLy9fu3ZtbGwsjUZbvnw57vt99OjRhg0bampqAAA//fTTDz/8EB4eHhERcfToUQzDfHx83rx5IxAIBg8efOLECWNjYwDAtGnTPDw8/vjjj9LS0vHjx587d45KpYprGB8fT6FQLC0t23OZCgoKzs7Ot27dWrZsGVGIIIi8vLyioqK00g9I2S3j6+t76NChvLy8S5cueXl5AQC2b9+Or7qZlpbWr1+/gwcPrlq1CgAQHR2dkZGRlpZ29uxZZ2dn6aoB6Qiel2IGCkhfcSODYTWhpwCGTWeSbsGYmR4HSwByWFhH/PH+/QmEomhQUNDJkyfXr1+fmpq6cOFCvHzdunU5OTkFBQVWVlZr164FAIwdO/bs2bMVFRUAAB6Pd/jwYVdXVwzDpk+fbmFhkZOTEx8ff+XKlbt37wIAli5d+scff3z+/DkzM9PNzQ0AUF1dnZeXBwBAEGT16tU5OTmFhYUjRoxYvXo1LvH9+/fXrl179uxZVlZWSkrKjRs3Gvwm0dHRQ4cOFS+5d+/eoX9ITk6W8LcdPnx4+73/LSPlnvvy5cuDgoL27du3c+dOMzMzAICioiL+Rfnw4cOKiopx48b5+PgAAOrq6q5evUoikTZt2vTdd99JVw2IFOHnZZCUVCgaesG5qLfJv3sDCML7mMjPz5jBtHC4JzoyktzRnhlIZ3IhEz2SJv13NoKAQyNIk4z+fy9hGIYnFqysrKRSqXhfm0qlWltb3759u6SkRCAQxMXFAQC0tLQ8PDwuX768bt26W7dumZubW1lZZWZmJiYmnj9/Pj8/HwDg5eUVFhY2ZcoUBQWF+/fvGxgY9OvXz8LCooEa9vb2ISEhRUVF9fX1eOM469atwwcIJ06cmJycPHfuXPGzCgoK9PT0xEuqqqqItefYbLaEP4Kenh7+Buo4pGzcEQQR/9AAAODfRwCAXbt2iZdPnDhx4sSJ0pUO6QhqQk+pTPQja+jdzcceTWj4qccY7MJJjGZ6DdBXQGJLsY72zEA6kzWWpDWWnTHPkUwm7927F98+dOjQ6tWrX716lZ2d7ezsPGPGDFNTU3V1ddziAwBWrFixdOnStWvXBgUF4dYGT1P8yy+/EA3iq0cEBwfv27fP0dFRRUXljz/+cHd3JyoUFBSMHDnS29vbzMxMvHEAAG7ZAQBycnKNY1pIJFKDpdIXLFjQ2KvcKkQW9I5DNvmpId0FUU2F8EsxzdT6VTmmTAMWqkiDrom8nUvF0Z9UpyydbkK6lYu66ME8M5B2oa6uXlZWBgC4c+fOhAkTDh48CAB48uQJUcHZ2ZlKpZ49ezYtLQ1f5IfJZAoEgnPnzjUIqrawsLhw4YJIJDpz5szKlSuzs7OJQ2FhYa6urkeOHAEAxMfHS66eiYkJPlOnnRQWFpqYmLS/nRaAxh3SEtyk5wyrkQiZEpwr8u7bRK+cotWHpKzOy071ZdpAzwzk20BR9NatWwCAqqqqPXv2zJw5EwCgr69//vz5jIwMDofz22+/iddftmzZ6tWrV61ahcfmGRsb40s379ixQ1VVNSkpicFgjBkzZv/+/Z6enlpaWhUVFfr6+uIt6Ovrv379+sOHDwKBYNOmTZKrOmbMmBMnToiXxMfHE0up6OnpOTg4SNLOixcvfH19JZf7DUDjDmkJbkq80tgZAIDQfCx4bNO9cnk7V05iNNN3EPTMQL4BVVVVLy8v3Lhra2vv27dv+vTpAIAZM2Z8+PBh4cKFWlpaO3fuPH/+PHHK9OnT16xZs3TpUqLk0qVLR44c+emnn+rq6vr37//jjz8iCFJZWblmzZr6+norK6u//voLANC3b188fGPKlCmpqalLlixRV1ffunXryZMn8T+3c18AACAASURBVHbGjx9PuGUGDhwoHvKHM3jwYBUVlYSEBHxY1dPTMz8/H/f1AwDs7OwI425tba2mpkacqKioOGPGDHwxr+rq6oSEhOvXr0vvV2wKTKrk5+d7e3tPmDDh9u3b4uVcLnfFihWTJk1auXIlh8PBMKy6unru3LkeHh7Hjh1rsqnAwMANGza0KvHr169S0fwb6PGihV+rin7xQYWCxC+oyXUBXlhXV4eH6/6/WnV50a/TUaFgT5JoVZyw4/Spr6/n8Xgd134LCIVC/L6VCZ12p+3bt2/jxo2dI6s9HDlyZMyYMbKSfvfu3RkzZrSnhYCAgN27dzcoNDc3z8jIYLPZDZ6vb0bKoyWrVq3auHFjaGjorl27KisrifJTp05pa2vfu3fP2toad6Jt3brVw8MjPDz87t27KSkp0lUDIhXqU+LlBgxFyJSQPHS6SbP9cbKqFkXbgJeZ6MtEgnNhnhlIB4KHpQcEBMhwuajJkyeLD95+A9OnT1+3bp209GkOKRv39PT0YcOG0en00aNHP3/+nCjPzc3Fx6/t7OwePXoEAHjy5ImXlxeCIFOnTn38+LF01YBIBU5yLGOQIwAgNA+b2relW0V53GyEQmUqIfoKyHOYZwbSYVAolODg4MLCQnt7exmq0WBJorZiYWFBp9OlpUxzSNPnzmaziWV81dXVxXvubm5uR48e1dXVPXnyJF7O4XDwympqakSOAXFSU1MvXbp04MABfJdGo8XHx/fv379Btbq6OileQpvo8aKFnDqhgfm74roqHt2SUYenk+BwOE1MjzYwBwDwWawp+pS/PgrtFQUdoY/M0w8IhcLOFw068U7rskm5MQw7f/78/PnzqVRqVlYWAIDJZMpaKSmDYRibza6rqxMIBJKkH2g1klKaxl1BQQFPiwMAqKystLKyIg55enrKyck9fvx44sSJ+NxiBQUFLpfLYDCqqqo0NTUbt2Ztbb1hwwZJsvzIMKlkzxattOEoAODvJNTbBFP+RxyJRGIwGM3dfPMGYMPvCk86y1E6IDyaRqP1zvQDoLPuNDqd3vldlqqqKi0trZycHDwBwJYtW3bv3l1eXo4PbK5Zs4bD4QQFBf3www++vr5UKvXQoUN+fn49z7gjCKKgoNB10w9YWVnFx8dzudynT586OTkJhUI8bw6Xy3Vycvr5558jIiL8/PwAAG5ubrdv30ZRNCQkZNy4cdJVAyJFQvLQaS36ZMQxUYJrM0Hahrq6uo2NTXR0NL4bHR1tY2MTGxtL7Lq4uJBIJA6HA3ODtwkpG/fjx48fOXLE19d3x44d6urqQqEwPDwcAFBRUTFlypTx48cPHjx41qxZAIBt27ZFRUVNmjRp5syZ7czCA+k48uuw/DrMUUei6Maqvw6g3DpfJukmzDMDaQuurq54ohUul5uVlbVq1Sp8t6qqKi0tzcXFBUVRU1PTBl8VcXFxVlZWxsbG+vr6P/30E1547NgxExMTHR2dcePG4WlkuFyuqanp6dOnjYyM1NXVf/75586+PBkh5Tj3Pn36iKfakZOT+/PPPwEARkZGf//9t3hNZWXlc+fOSVc6RFoISvIAKqL2MQ3Jw6YakyT0sWD8em5KnK/VuMEhomOjyDS4QG83B2V/FVaVNS5HSCSqPhP8k4VYWFaA8usbVyMrqZFV/+dxxQR8QWk+cYiqbYDQ/+/jcnFx2bBhAwDgxYsXw4YNc3V1xQPPo6OjmUymkZGRSCTKyclpMO9/48aNv/32m6+vL4qieGqax48f79q1Ky4uzsTEZNOmTbNmzYqPj8cwLCcn58OHD7m5ueXl5VZWVrNmzbK1tW3nj9P1gZOYIE3w9eFlhtUIah/T0DzUf5CkGQXk7Vzr4u4bDnc3V0WeFmPjDeBspu4NJymG8zKiiQMISXPpdpKiKr5XE3IS5TSxUia9n43KlO/xbX5eeu29s8Qh5Qnz5Qb+P7eis7Nzbm7u58+fo6OjnZ2d+/XrV1FRUVNTEx0d7erq2px6qqqqd+7cMTIyGjp0aL9+/QAAwcHBhDt+y5YtgYGBRUVFeM50f39/Mpmsp6c3cuTI9+/fQ+MO6Y1gfB4vM0lt5o9lXJBahX2nL6mNlhs4rPrGYVFtpa+J2s0cdLwBzDPTvVF08FR08Gy1muaK3a3WoZsN0l5/tLmj6urqgwYNiomJiYqKwnO1Ozg4PH/+PCoqivC3NObChQuBgYELFizAkxYsXry4vLzc3NwcP8pgMFRUVMrLy3HjTkwWlZOTI+I+ejbwyxnSkPqMNzRjc5K8UmgeOtGIJCexiUaoNDmrkdyk575M0r18lA8d7xCJcXV1jYiISE9Px/vUzs7OoaGhqampLfTctbW1AwMDMzIyrl69umrVKqFQ2Ldv3/T0dPxoaWlpdXU1HoHTO5Gycccw7MiRI4sWLYqIaPg1d//+/fnz569evRrPzfbu3Tv/f+BwONJVA9IeuP+fu4R6GbfNtSJv58p5+1RPHliqIY8KYcwMRFJcXV1v3LgxZMgQPPuKi4vLlStXTE1NG2d3Idi5c2dsbCzuTzc0NKRQKEuXLr1x48aVK1eSk5O///77mTNnEolieiFSdsscO3asqKhoz5493t7effv2JT6R8vPzN23a9OjRo8zMzLlz57548SI1NVUkEuHp32S+uBeEABMJ69PfqEz5voYPXlVgIW5te/3L9R9cffWAsLzQl6l/Iwf1NIKeGYhEODs7L1y40MPDA98dMGDA0qVLCc84iURauHAhbijc3d3xtZQVFBQCAwNramosLCzwFavNzc0jIyMPHz586dIlJyenjRs3AgBwo09M+XFzc2u8cEePRMrG/fbt21euXNHR0Zk/f/6dO3fEo45UVFQ0NTX5fD6x1G9tbW1hYaGDgwP+roZ0BXiZSRQdI7Ky+t0s9Dt9kkJb/zMkEmOwK+ddlK/r3C1vBVwhmQH/txAJUFVVPX36NLGLIMixY8fEd4mskPh6e/gGsU0wdOhQPAEkAY1GE2+5wWpCPRgpP3mlpaW6uroAAH19/ffv3xPlxsbGdnZ2tra2tbW1Z8+eBQCYmppWVVVlZmb6+/uHhYXhg93iZGRkhIWFiaedOX/+fONqPT4HQCeL5r6NIlkMYbFYtz7RphqKWCxRgwpNpx8QgzRknKgsT07AslWl3s7kTzWUmusdph/oaLps+oHeQJdOPwAAUFJS4nA4KioqbDZbWVmZKI+Njc3NzU1KSqqqqnJycnr//r2jo6OjoyN+yo0bNxrnyzc1NXV3d//Pf/6D71KpVCsrqyavuWfnAOhk0Xw+V3XYGB5DKbZCcPk7ulKj7EYtpx/ANQOGJgCAuebo3QJs3kCpeWZg+oGORibpByA4XT39wPDhw6OiogAAUVFRw4cPBwBkZGSgKFpZWamlpUUikVRUVOrr61EUJTpBeXl54intCahUqo6Ojv0/2NjYSOWCIS2jsWgLWU37fgE6UhtRa1/euml9SY+L0Fq+lDSDQCBtQcrm8tdffz1+/LinpyePx5swYQIAwM/Pj8PhTJgwoaqqytPTc/To0evWraNQKFu3bnV1dXVxcfn06dPChQulqwaknYTkYZLnk2kOVRpw0SPd+wwjIiEQGSD99AOPHj3CMIwYNX316hW+ERwcjKIo0fvetWvX/5YLgf3xLgZPBP4uQA+NoLankZrbxxh2rjOYA69+Quf1g/9iCKSz6ZCnjrDsDYX9244jCAIte9dBVFvJy0oCADwuxmzUEd32uZcpusbsuAeTjUixZVgVHKWDQDodGKcG+R91z+8BBKGb2QbntiHHb3PID3b5ev+iGsp1N6AF56LfW8C3ePcgLy8ProwmE9hstnQbhMYd8j+4qfHqc34SoiD8M7rNrr03BklBmW5qxU2Jm8n87tgHaNy7B9bW1pGRkeLLk4pEolZD7jqI3iba0tJSS0tLig1K2bhjGHbnzp3y8nIfH58GE39fvXoVFxdnbGw8ZcoUfNbSkydPPn786OnpaWRkJF01IG1FUPoZ43FphmZPSjATJcRIUQoJHeWHjGG/eOixdOyS56IiNtZHASaJ7OpMmDABj4MgYLFYsor37Z2ipZiLRcr9qR07dsTFxamrq0+aNEk8+fLLly9//PFHOzu76Ojo7du3AwCuXLly/vx5Y2NjLy+vmpoa6aoBaSvc1DiGjQNAkNA81KvdPhkcOcvh/IIsCuvLVGPSzVyYZwYC6VSkbNz/+uuvPXv2TJ8+vX///sRCWQCA3Nzc0aNHu7q6zp49G08cdvr06f3790+cOHHq1Kl37tyRrhqQtlKfEs+wccAAuJuPefWVThcbodIYNg6cd1GzTEnXsmFAJATSqUjTLVNfX08mk6lUKgCAyWTm5uY6Ozvjh7y9vf/6668pU6YUFBRcu3YNAFBcXIzne2MymZmZmY1b+/z587Nnz6qqqogSf3//xiniuFyurBxzPUY0WlMhqCwV6ZpEfeYqU8iGVH4Ln4YcDkfyAFaStUNd+PkRwz2K2NTkUo6ZcuuntACefkAmOQDwGaoYJpvvjx5zp0HRrcLhcMRDxptDklms0jTuFAqFcMUIBAI6/f8THMPCwtTV1X///feHDx/u3r374sWLJBIJvwY+ny9ek0BFRUVPT2/o0P8t10KlUrW1tRvXbO70TqDHiGZnvmNYjaAz5O8XYz5M0HLLQqGQTqdLaNzp5oOpyCK6HH26CRZSSPttcHu/CWSYfgBBkJ7x74aiu7JokUgkyfPVXLi5OFI27gwGo6amRlVVNTk52dfXlzj07t27sWPHamlpTZ48+cCBAwAACwuL9+/fW1tbp6SkNJmPX0VFZdCgQcuXL29ZKJlMltU7tseIRmsqFIZ8RyaT73wWBo8lk8kt3Te4aMknKMgPHAoAmN0Pm/NMtH1Iu3Qmk8kIgvSM3xyKhqJbEC2VCUBSjpbZtGmTt7f3wIEDFRUVra2t2Wy2ra1tVlaWr6/v/Pnzc3NzY2Njv//+ewDAL7/8snz5cgcHh+Tk5P3790tXDUibUJ26FACQVImhGBik3iExLcO0EBIC3n7B7DVhzAwE0hlI2bj7+Pg4OTlVV1f3798fACAvLx8TEwMAGDRoUGxs7MePH5csWYL7zUeNGnX//v2CgoLdu3fDfO5dgZA81MekYywvhmGoaAYTuZaN2mvC5TsgkM5A+lNLdHR0LCws8M8KBEH09PTwciUlpSFDhoiPiKqqqlpbW0PL3kUIzcOkFQTZAG5qfPXV32eZkq7nYCgMiYRAOgU4b7BXgwn43ORYAEBmLVbNB8O1OqTnTjcbVP8hwZzG1mWA6FJo3SGQzgAa915N/ftX7FcRAIDbuZiXMULqGK8MiaEoZ2HPTYyebUr66xMMeIdAOgPpu0TKy8uzs7NtbW3Fl61hsVhEMDuVSrWxsamsrMzLy8NLBg0aBJ0zMoGbEsuwHgUACMlDDwzvQG+4/NCxXx/9NWfZxIG3BUdHwoVVIZAOR8o999evX0+bNu3p06djxowRX6+ruLg4KCgoKCgoICAAj5YJDw9fs2YNXghXbpQJmFBQn/5WznJEfh2WX4c56nRgHIuchZ2oqlzja8EQTSS8AHbeIZAOR8o9qAMHDhw8eHDYsGEikej27dsLFizAy83NzfEFyLdu3UoMsfr6+hJLpEI6H15mElWvL1lZLSQNnWpMonSoi45Elh/yHfvNkzn95//1CZtu0pGyIBCI1I17enq6tbU1AMDKyopYg4kARdEbN268fPkSAIAgyNWrV2/evInbfTxpgThVVVVJSUknT54kSqZPn66iotKgmkAgEAgE0r0KCenuotkpcVTL4QKB4HYO8LcGAoFEHWqBQEChUL5hkgVtsGv12W2TR8/+8SVSwkI15dqssEAgQBBEkrl5UkckEuEX3vmiQfe/06DoNomWZBIThUJp9UGQ8s2KoigukkwmN84B8vjx46FDh6qqqgIA5syZM3/+fADADz/8cPHixSVLljSozOVyy8rK3r59+z9FKZQJEyYoKio2qCYSiUQikXSvQkK6t2gM46W9VFm5t4SNptcgLjqohO3hor8hywqiZUBSUiV/fj9Oz/JWLra0f5tbwHMAyOQ3F/1D54sG3f1Og6LbLrrV5wufrd1yHSkbdyaTmZ2dbWlp+enTJ1NT0wZHz507R6QTIGb32tjYlJSUNG6qT58+7u7ugYGBLUsUCARycm3vBEqDbi2al/OerKKuoN/3Ujo60QhTlpc0YYtIJJIkaVGTaC/fiTAU/RTIu5JEa2zafO/h3XZZ5ZYhkUjd998NRXcX0SiKfvPz1QApG/cVK1b8/PPPfn5+165de/jwIQDA29v70qVLCgoKlZWVKSkpLi4ueM3z58+TyWSBQHDw4MHbt29LVw1IqwgriuSHjgUAhOShKwd0UkQsSVEVAODWByyKwbJqMTMVmIoAAukopGzcPTw8dHR0UlNT7969iy8ZtWLFCjy/Go/Hu3z5MvFGcnBwiIuLo1Aojx8/bpzIF9LRKAwfBwCo4oGECszdrVOnO1BIYIYp6Wo2ttUOGncIpKOQ/gCRvb29vb09sTt27Fh8Q19fX19fnyg3Nzc3NzeXunRIm7ibj7r1Icl37jChoDR/Xj+j6U9Ev9l10KwpCAQCZ6j2bkLzpLbukuRUnt1mw8uVp4A4mIoAAukwoHHvjXDePgMAsAQgphT1NOrse0De/jv2q4j5ZqTLMBUBBNJhSP/BxjBM8hmnXC5X6gpAWkb4pbj27hkAQNhn1EkXUW44waDDkR/mxnkXNbev8HYuypXBknkQSK9AysY9NjbW0dFx2rRpW7ZsES8PDg52c3Nzc3OzsrKaNWsWAODjx4+Ojo5z58718/OT1dKUvRNuSryc9UgAQHAu5t0xOX5bhqKhS9UzUct5NUQTCfsMO+8QSIcg5Wf7p59+unHjxv37958/f56Tk0OUe3t7R0ZGRkZGDh8+fM6cOQCA7du379mzJzg4mEQiPX36VLpqQFqAmxrPsB7FEYInxehkY9n45RRGjme//HueGelSFjTuEEiHIM1nG0XRqqoqAwMDAMCoUaOIyaUEdXV1z58/Hz9+PADg3bt3o0aNAgA4Ojq+efOmcWs8Hg+foUogk2XvexgiVrWw7DPdbNCDAnS4FqIum0WAAcPGgV+YPUW5Ir4cK4WeOQikA5BmEByPxyOSb8jLy7NYrAYVbty44ePjg9fh8/n4JFUGg9G4JgAgPz8/IiIiNTX1f4pSKGfPnmUymQ2qieee7GS6o2j+66fkfoPrONwbn2gT9UQsVpstK4fDEQqF7Z9BR7EexXsRPlF/zp8fhKv6S/Ta5vF4MpyhyufzZdW96I53GhT9bXC5XIFA0OrzJS8v3+oS3tI07gwGg8fjoShKIpEKCwuHDRvWoMKFCxfOnj2Lb2toaFRWVmpoaBQVFeGd/Qb0799//vz5raYfAAAoKSm1X/lvo9uJ/pL1TnnkeERe6XGJ4JgjXYnR+ikNIJFIDAaj/cZdzmVq7b2zi4fR//NC5G8vkR40Gk22xl18iYJOptvdaVD0t0Emk6WVfkDKLtdx48adOnUqOTn55cuXLi4uPB6PGFnNzMwkk8kWFhb47syZMwMDA7Oysm7cuDFlyhTpqgFpErSezc/LkBsw9FEhaquB6MjMUgEAAFXXSHNpgIsewhaCxEo4og6BSBkpG/dDhw6xWKzLly/fvHmTTqcjCKKhoYEfKisrCwgIIGquW7eub9++x48fP378OJHhHdKhCCuK5axHIDS54DzM26RLTHFAAJjXj3QhEw6rQiBSBumyYYgHDhwoKytr1S3DYrFk9QHVTUULUKD3lyBxGsVQ4VvmprLZbKm4ZQjy67Ahd4SFs6j01pb5k7nPXVZumW56p0HR3wCHw+mibhlI1+dJMWauinybZZc6wrICnaJEG3UY8A6BSBlo3HsdIXnoNFnMXWoSlMetuXV0kRkCPTMQiHTpKg85pKOp//Aa43FFGLibj/qYdIluOwCAZtQfkZP3FCS/KseKOV3UQwiBdEekbNxZLJafn5+np+fu3bsbHMrMzJw6dep3332HD6uGh4c7OzvjOQmajHOHSBNUVHX1d5TLflaM9VVEjBW7inEHACiOmih89cCrL+nKJ2jcIRCpIWXjvnfvXmdn5/Dw8MTExNjYWKJcIBDMmTPn0KFDT58+3bBhAwCgsrKSyEkgw2jWXgIvO42irkNW1QzOQ7tInAyBvP1oXlbyEr1q6JmBQKSIlJ/zJ0+e4EHrU6ZMefLkCVH+6tUrMzOzkJCQgIAAop/+8OHDX375JS4urrnWeDxe9T/A3n174KbGM2wcRBgIzetCPhkchM5g2DoNyI0EAMSXwc47BCIdpLwGT1VVlYqKCgBAVVW1srKSKC8pKYmMjFy2bNnXr18nTpz45s2b4cOHm5qaoii6Zs2ao0eP4nlmxElNTb1x48bly5eJksePH/fv379Btd45R7ltojGMnRyn6Lf5YTZbT46iBera86KUVvoBcRDb0ay/9s3znHwqjWwtL2iumsxDIWH6ASi6o+mi6QcAAJqamlVVVTo6OpWVlfgaqjgaGhojRozAV8feunVrdXU1MVX1hx9+iIyMbGzcra2ttbW1YfqB9ovmf84k0+gqTIuH8aIZ/RAlpXZlC5NW+oF/oWTNV1FfQvswoNj2mJxccynmYfoBKLrHi+666Qfc3d1v3bqFYditW7fc3d0BADdu3BAIBCNGjCgqKmKxWKWlpRwOR0VFJTc3F0VRPp//4MEDwtBDOoL61BeMQY4oBu7kYV3NJ0Og7OGnTAWj9UnXs6HnHQKRAlI27hs3bkxPT588ebKHhweeOOzJkydCoVBeXv7IkSMLFixYvnz5n3/+SSKRHj16NGbMGA8PjyFDhvj6+kpXDYg4nJRYho3D81JMmwH6KXdR4y5nYS83cOji/qRzH6Fxh0CkgJTdMgwG4/jx4+IlQUFB+IaTk5OTkxNRvmzZsmXLlklXOqQxGJ+HUOk0Q7Pgl6hPF4uTaYy7AbIiDiRXYYPUu+hLCALpLnT1px3SThAaXWfDMRQgIXmYd9+ubjFJCFjQH85WhUCkADTuvYL4MkydDixUu7px//ro2hIs4eontF4ka1UgkG4ONO69guC8buCTAQBQdY3pcbfsNJGQPNh5h0DahZQfeDab/csvvyxZsiQxMbHBofz8/B9//HHWrFnPnj0DAAiFwj179ixYsEB8rhNEuvALMoWVJRgAIXnY9K4aJyMOw2q4sKr8Pxr5QRnQuEMg7ULKxv2HH36wsrLasmWLn58fh8Mhyuvq6ry9vWfNmnXo0CEjIyMAwN69e1EUDQwM/OWXXz5//ixdNSA4tWEXBCX5caWYKg0M6PI+GQAAIJEVHDyG5dzPqgUfauBsVQjk22nFuNfV1aWmptbX10vYXHR09OzZs42NjZ2cnKKjo4nymzdvTpw4sby8/OPHj6ampgCAkJCQVatWaWlpzZw5Myws7JsvANIcKLdO8DlTrv/gW7no9O7gk8FRHOnBS45Zasw+CzvvEEg7aDYUksPhrFix4vLlyxiGpaenW1hYuLi4bNmyZezYsS2cwmAwEAQBAOjp6ZWUlBCHcnJyQkJCjIyMQkJCnjx5EhAQUFNTo6qqitd8//5949bS09ODg4Nv376N71Kp1OvXr5uZmTWo1jvnKEsiWpAUTWZafq3n384l3XPhsVjS6Qh3RPqBf0Mimw6aW/33sCovfwsug/x/tWH6ASi6x4vujPQDv/76a1FRUWZm5rx58/CScePGPXjwoAXjLicnx+fz8e26ujplZWXikJKS0qRJkxYvXjx37lxra+uAgAA6nS4UCikUSoOaBGZmZr6+vv7+/kSJiYkJ/uZoQC+coyyJ6MrMt0p2rm84itoMkX0fRWnJ7ZD0A/+G/p039teBYUOmPfoiP7ff/wXB9ANQdI8X3RnpB8LDw48ePdqvXz/CnjKZzIKCgpbaIpF0dXWzs7MxDHv+/PmwYcNQFE1NTQUAjBo1Cu/Il5WV4R324cOHR0VFAQCePXs2cuTIxq1RKBQVFRWmGE1adkiTYPx6XlaKnOWwWzndySeDQzMZSGIo/qSQehp6ZiCQb6XZxx5BkAZvj9LSUvFcYE1y6NChxYsXjxs3burUqUZGRvX19d9//z0AwMnJSVtbe/LkyfPmzTt06BAAYNu2bfv27fPw8NDU1BSfuQqRCvXpCbS+FkBOsbvEyTRAY9FmR3vzXBZIq4bDqhDIt9CsW8bR0XHnzp3nz5/H+8t5eXlHjhzZs2dPy83Z29vj/XEceXn5ly9f4tsHDhwQr9m3b9/IyMhv1hvSMtzkWMYgx9gyTIcBzFS6n3Enq2mTAVjUX3QmAz0yshXfIgQCaUyzPffdu3e/ffvW0NAwLS1t5syZAwYMGDZs2IwZMzpTOcg3I6r5wrAeeTMH9WV2M5+MON9bkP76hLJlM4oJgXRvmu256+npJSYmhoeHf/jwgUajDR06dPTo0dDr3V3QWvM7ioGQPEGMp5Rzw3UmepxiF23Nq5/Q7y268SsKApEJLT35dDrd29vb29u707SBSJGYUkxfHumyOX4lgfX4xq8KfZekT4bGHQJpK80a9ytXrhQVFTUoHDVqVKuDn0+fPk1NTfXw8BCPSReJROfOncO3HR0dBw4cmJmZSXjn/fz86PR2LQ8EacyNbu6TAQAojPToc2Ufv79nfBk2Sqcbv6UgkM6nWeOekJDw4cMHfFsoFKalpdHpdB0dnZaNe0hIyLVr15YuXTp79ux79+7p6ekRLfz+++87d+4EAOB2/MWLFy9evPDw8AAAQG+PFBFVl4tY1SQD85A89NXkbuyTAQDQ+lqQFFW3ySecSB8xSgcOq0IgbaDZh//IkSPiuywWa+LEiebm5i03d+bMmcOHD5ubm3/48OHWrVtr1qwhDikrK1tbWxsaGiooKOAlffv2HTx4sImJSatTGUx/iwAAIABJREFUrSCSw3pyi6ymFUfq308Z6avU7d+aSq7THKNDl6kPK+OSVbv3dwgE0qlI2rNTUlKaO3fu6dOnm5xwRJCXl9e3b18AgImJiXhMJIIgurq6R48ejY2N3bNnj4eHh4aGRlRUVEBAQEZGxsOHDzU0NBo0lZ+fHxERkZOT8z9FKZQdO3YYGBg0qMblcmX1buiKojGMkxqvvHj7X5l8LwOMw+FLXTSHw8EwrENnqP6LfoPBvXOrjDNOpfVf04+DIIhMcgDgM1QxTDZB913xToOiOwYOh4OiaKvPlySzWNvw2U7Y2Rag0WhCoZBOp/P5fDk5OfFyPDtYXl6ej4+Ph4eHp6enp6cnAGDfvn0XLlzYsGFDg6bU1NQsLCzEl1fV1dVt7Jrn8/my8td3QdGCvHQSQ5Gka/IgGt09FKHTpd9zx/+/nWfcAZB39PTLuT+mfsC6gXQKSWbpBxAE6Wr/bii654kWiUSSPF+SuLKbNe779+/Pzs4mdnNycqKioiIiIlpuztraOikpycHBISkpydLSsgl5FAqK/mtOOZlMbrJDpKysbG5u3mpkPZlMltU7tguKrnv/Ut7W6XEJYqOOGCp1iMMdF92Zxl3ZYSL7id9gu4oHxepexkhX+82haCha6qKl8nxJ+vw7ODj8/vvvNjY2LVfbuHHj0qVLHR0d37x5s2nTJgBAv3793r179+bNmzNnzujr60dFRW3ZsgUAsGXLlurqaj6f//bt24cPH7bzMiA43JQ4jYWbr2ViM017jn8aoTOUvpu+ily0I0PDy1jW2kAg3QRE6m5ENpv9+fPn/v3746++iooKTU1NBEHy8/Orq6uZTCaeA1IgEHz8+JFMJhM1G3DgwIGysrLAwMCWxbFYLFnlb+tqogVF2ZXndyj/8mefq4KP06naHZPBkM1md3RWyCYRYcD0huC6CzZCr9dlhexqdxoU3XFwOBxpZYVsoufegrmXxNGjoKAwYMAAYpfINWZsbGxs/P9+F5VKtbKyaoOmkNbgpsQzBjmGfUZHaCMdZNllCBkB35thpz4iI/RkrQoE0h1o+H5YvHgxqXk2b94sEy0hkiCsKJS3c72Zg3X3uUvNscgMCysAFZIuCwaB9Goa9ty3bt26evXq5mrr6up2sD6Qb0d9/i+1fPD0qeCcM1XWunQI8mlPf6arnk4fvnlwz3x7QSBSpKFxNzIywhew/maysrIqKyvt7e2p1P+bGDabnZGRgW+bm5srKioCAAoLC3Nzc4cMGSLDBW56GMF56Jg+JFUZOKU7A5Ki6oysPx0EQzYOItGgeYdAWqSlR6S+vj4+Pv727du3/iEtLa3l5i5durR+/fr79+/7+PiIl79///7777/HG6msrAQAPHv2bN68ebGxsW5ubjwer/1XAgEAXMtGZzG7/azU5qCZ29Fp5Omid8G5cIUmCKQVmg2FTEtLmzhxYl1dHYvFUlNTKy8vV1NT27x5c8ujoIGBgS9evFBUVPTx8Xn37p2dnR1xaMSIEXv37iV29+/ff+rUKXNz8+rq6rCwsAYvA0ibQOvZ/LyMGmP7t18wD8Oe3KeVd566NDZkQZr9rB4U6wmBdATNGveNGzfOmjVr3bp1Tk5OHz9+fPfu3YIFC/A8X80hEAiEQiHucrG0tExPTxc37nFxca6urgoKCn/++aeWllZWVlb//v2Jmo1bq6ysfPXq1e7du/FdKpW6YMECfP3VBkIFAoHE1ytNuo5oTvxDYWn+XzybSYaAgnWsUgKBgEKhdH4oJC6aNGC4yt+XdasynxaaOel0nmiRSIRfeOeJFKPr3GlQdCeIlmQSE4VCaTV2sdmbNSkp6eTJk2Qyub6+HgBgZ2e3YsWKY8eOHTt2rLlTUBQl5JFIJJFIRBwaMmRIcnIyAODkyZO7d+8+dOgQhmF4ZTKZLF6TgMfjcbncqqoqooTD4TQOPhWJRE2e3gl0HdHc5Dj573yu52BbbTGRqGPzn+CiZZJlBc8BwHCY/Ov74J3v/Udpdt6PL/qHTpPYWDoU3XtEt/p8kcnkbzfudDpdKBSqqalVV1ez2WwFBQU5ObmysrIW2qLT6RiG8Xg8Op2elZXl5uZGHCJeRJaWlrGxsQAAIyOj/Px8Y2PjrKws8czvBPr6+q6urq1OYhIIBOJJbDqTLiJaVFuJVhRWGA37nAbGG9MoHdylFolE0ppk0VYQBEEQhOo82TAmpKKwKLfeeIBqJw0wiEQiEonUFf7dUHTPFo2iqLSer2absLe3f/nyJYlE+u677+bOnXvkyJFt27aNGjWq5eaWLFmyevXqoKCggoKCkSNHcrncSZMmAQDu3r178uTJixcvrlu3bs6cOQCA1atX/+c//7ly5cr9+/enTp3a/ivptXCTYxlWI67mkWcySR1t2bsCCI2u6DR5By/sSBocVoVAmqVZYxAYGIh7zM+cOaOmpnbz5s158+atWrWq5ebWr18/e/ZsFRWV8PBwBEFoNNq6desAAMOGDcPd5deuXcMd997e3ps3b0YQ5MGDB7ibHvJtcJNiGLZON3LQ3jPGqDTax2ay940ctIwra1UgkK5Ks24ZExMTfENLS+v8+fOStzh69Ghim0wm47t6enqzZs1qUHPIkCFDhgxpg7KQRoi+VgtKP2doDuYKwXDtHhsE2QCEQtUx0J/OFJ1KR7fa9ZZXGgTSJpp9MGbMmOHv7//p06fO1AbSVrhJMXJWI67kkub063VrFW6wJp1MF3FlsHQHBNINaNa4+/j4xMfHm5ubu7i4XLhwgcVidaZaEAkRVhQxhoy9lo3N6dfrOrBm8gJf2qdLn6DnHQJpgmYtwvTp02NiYjIzM11dXQMCAvT09Pz8/FJTUyVptK6uTnoaQlpC1XtlrIKNgQIwV+ltHXeA1rM3vNt66m2tEJp3CKQRrXT3TE1Nt2/fnpOTc+zYseDg4Js3b7ZcPzc319HRcfHixT4+Po1nASQmJsrLy0dHRwMALl68aGFh4ebm5ubmBj8L2sOVT+jc3tdtBwCQldSUbB0Wfrl3G2YjgEAa0YpRqKuru3jx4nfffbd48WI7Ozvx0PUm2b179+bNm2/cuGFgYBAeHi5+SCgU7ty5c+LEiUTJihUrIiMjIyMjZZUXvwfAEYKwz2hPzfHbKspusyaXPTj65qtsFq6GQLowzRqFuLg4Pz8/XV3drVu3Ojk5ZWZmxsTEODs7t9zcu3fv8Fj4UaNGvXnzRvzQnj17li1bJh71GBQU5Obmdvjw4Sabqq+vz8/Pf/wPMTExspoQ3DXBeFxu6os7+egobUSnt2bVJKtrq9iMnFZ892EBNO8QyL9oNhTyt99+09DQwMPSJV8rls1m4zO7GAwGm80mytPT0wsLC7ds2XLt2jW8xNPTc+bMmSKRaM6cOYaGht7e3g2aKigoePny5ZcvX4iSw4cPEwGaBDL078tWNP9DvDA//U+dwbOMRSxW58V7czgcoVAokxmqPB4PnzwhXkgaNcnrhP/iF55OHZnpGF9mTyiUTWhOr73Je6FoLpcrEAhafb7k5eVbNcvNGveIiAg8TVJubq6ysrKGhoYkmunr6xcVFZmYmBQWFhoYGBDl165dy8vL8/X1TUhIyMvLu3TpkqGhIX5oypQpqampjY27mZmZsrJyq+kHAAAy9OrIUHR9RgI2YvLbD+Q77nLynZjPikQiyWQNVQAAjUZrbNyBkpLI1mFs4f1k9jxH3Y4aVZbtGqqgt97kvVA0mUzu8PQDRAK8jRs3BgcHS9jc7Nmz9+/fn5GRcfHixWnTpgEAfv311/r6+oCAgIiIiJs3b7q6um7bts3Q0DAyMjIpKSkhIeHUqVPi854gkoCxvwoKP92m2E02JnWmZe+aKLvNnFUefvhNrawVgUC6EFI2DEuWLKHRaGfOnDl48CCTyQQA6Ovri7+Fpk+fjpcjCHLhwgUKhbJ3714XFxfpqtHjEXx4JWdhfz6HEji8lw6likPR0NWYtDDzkyCxEhus0etCQiGQJpF+r2/+/Pniuw1WZCUywo8dO3bs2LFSl95LELx/WWs/qSIfuOpBWwYAACoOExapoDsS0ZCxko4PQSA9m9b7fRs3bnR3d+8EVSASgrK/igo/nUftFvRHyNC2/8PyAaTXFVhyFQybgUAAaNK4l5WVLVy40MrKasyYMffv3x86dKixsXHnawZpDm7qC1K/QZc/03rn3KXmkCODnwYId73ly1oRCKRL0IR1mDFjRnR09Lhx4xgMxpQpU1pdFBvSyYiqy1P7jjFVRnphyoGWmf8lfMTbsymw8w6BNDbu5eXlsbGxMTExBw8eDA8PnzhxYuh/2zvvgCiOt4/P3t7B0e4AqYoCUqUpICoiYFBQQVFAwYKiscU3MRpL7L3FyI9ooibGmhgUxS4YFUEUFcECKiggKIpKr8f12933j43kAiiIe7eU+fy1OzvM99m93YfdmXmeOXu29c29ePFizJgx/v7+0dHRTY+mpKT079+fnENaUVERFhbm7+/fmsmOEHk4o6buxd0irOBre2O47n5jq2/svf2ObkMgEPpp7CDevn1rZGTUMEV9wIABb9++bX1zX3/99caNG8+fPx8VFVVWViZ/SCgU/vTTT0KhkFyccP369RMmTIiPj09OTs7IyPi8s+haVIlBcgky3hw698YwNDja3oFOj2KewJd3SJensYPAMEx+ifcPrV7dLARB5OfnOzs7s1gsHx+f27dvyx9du3btkiVLGiJQrl+/PmbMGARBRo8enZSU1GxrIpGo+j3y8a5dnOMFuJ8xrsh4zA6M7rAQP/6D/bcK6TYEAqGZZqZCFhUV6erqktsikQjH8YYgpsWLF69atepDbQkEAlVVVXKby+VWVVU1HEpLS8NxXH4JVqFQSFbW1tZ+8+ZN09aysrJOnDjx119/kbsIgly7ds3a2rpRNT6f3+Iq4ApC+dKEiC/NfXC4bPhSK0F9PT2h8AKBgFwtWvnSzaYfaIqG52iXe3/ddVnkoE3Z+zsZodr6Fx1q6VI3eReXbmV6D3V19RbrNHbupqamv/7664dqOzs7f6QtDQ0NofCfJCeVlZVOTk4NhzZt2sTlcufOnVtUVLRo0aKDBw9qaGjw+XwNDY3Kykp9ff2mrTk6OhoYGLTYI08QBF1LsCpfuj4jqfp5Xrm638heLLrOGkEQutIPsFisVjl33/GDb8/cfff1z+P7UCVNb/qBLnWTd3FpBoNBVfqBxs5dX19/zpw5bW6uX79+ycnJ/fv3T0pKWrdunUwmO3HixJQpU/bv30/6/ZSUlAULFgAARo0aFRMTExERERsbu2/fvs85h66D4OGNuF6h03shDDhN5sMgLBWD0VNHXDpw1ytyUJdZVxYCaQTF71979+49dOjQlClTduzYoa2tLZPJUlJSAADGxsa9e/fu3bv36NGjLS0tAQDr1q178OBBUFDQ7NmzbW1tqTWjU4LVlMvKin7kO02D82RaQnvgcL0e3TfdU16yTAikvUFx+gFDQ8M///yzYZfNZv/222/yFX788UdyQ0NDY+/evdSqd24ED28Um3vYdWNZcBC4dFULMBj95y4uOCVLekf4dIcv75CuCHwH7DAIM24eVRsy0xr+ZK0CRcAaZ8aKexicFAnpmkBP0TGQVbyT1JTH4A7jzOBP1lomWTCEGIh7DVdYhXRFoKfoGAgeXM828Qq1ZLJh0sNWw0DAIdmJR6eOyaB7h3Q9KHbuOI5v37594sSJFy5ckC/n8XjffvttUFDQggULiouLAQCpqalz3wMDlFoEl4i3q/jNtIH/jD8NZz+/8cUXYjJK6TYEAlE2FA+o7tq1q76+ft++fWPHjrW0tLSzsyPLURSdNWuWmZlZXFzc119/febMmby8PENDw+nTpwMAaFy9rKNw13kG7z7WVxeODX4aqLY+cB8juXSI33eFRpdfsgrSpaD4TfDs2bNz587lcrnh4eHnz59vKFdXV3dycuJwOAYGBg1BKOQS2HRFxHQs9j3D5/aBV6kt2IwJcxM+i058TLchEIhSofhlprS01NDQEABgZGT05MkT+UMFBQWzZ8/Ozc0lkxnY2NgIBILq6mofH59z587Z2Ng0aurp06dnzpw5deoUuauiohITE2NlZdWoWleIUS4RIsnFrF/dpPX1hJKlm9L+0w80hT18kvm1fQUu2w3b+okI0w9AaeWgwPQDnwmHw+Hz+dra2jwej8vlyh+ysLBISkp6+/btqFGjHj9+PGjQoEGDBgEAWCxWbGzs6tWrGzVlY2MTGhq6fPlychdBEDMzs6ZXvNPHKEtLXt+9UzDRwstILlUYjWfd/tMPNMXqi5E1dy5fTbgzb7Jf26Rh+gEorRwoTD9A8SPq7u6emJgIAEhKSiLThGVmZmIYJhKJ/tFjMMjXH7FYTJbk5uY2m1sGRVEul9v7Pebm5nT9L6UX3o2z2YXlc21hn8xngCDmE+cNzDjytFRAtykQiJKg2GWsXLny4MGD/v7+TCbTz88PAPDtt98KhcKMjIyhQ4cOGzZswoQJu3fvBgBs3bp16NChXl5epaWl5LAqpCkEJqvLvP2kp2e/bl3xHxuF6FnaVvYN2HazrOWqEEingOJuGSMjo0uXLsmX3Lx5EwDg7u6enJwsX75hwwZqpTsloqfpL9RMg/sa0m1IZ8BnypTFZ2XnXuHjTOFnEKTzA+/ydk1lamI054uw3vBnogAUAVED0SVpuJieYVEIRKlAr9F+wQU8Sf4jHRdPOEGbKob3QBx1kL0P6ug2BAJRONC5t194D28maznP7kvPqH1nJcq2wjv2q7fVMCga0smhPv3AsWPHdu3aVVJSIl9eXl7+22+/bd68+cKFCwTxz2TtuLi4yMjI/Px8am3oNLy5nfjUdJgNFw6lUol5T8OKXm63//qDbkMgEMVCsXNft25ddnZ27969AwMD5SM+qqqqdHR0PDw8jh49Si7jd/jw4dOnT/fr1y80NFR+tVVIAzdZNt6ernRb0QnxiJhtXXT7zsMcug2BQBQIxb25J06cyM7OZrFYZ8+eTUlJGTp0KFluY2NDxqCWlJRkZmYCAA4cOHDq1CljY+OQkJBz5859+eWX1FrS0cmoJLZ3n1lgBrvbqUeDoynwnYWd+knksIetAq8wpHNC5Z0tEolYLBaLxQIAmJmZFRYWyh+9evXqli1bysvLr1+/DgAoKSkxNjYma+bm5jZt7eXLlwkJCS9evCB3EQTZsmVLz549G1UTCoUoSk8aXIVKRz1CZ1sBsVCifOmPIxAICIKgMf2ATCb7/Kb6eQxMTr9++dgJv9Cg1tQnI1QbehSVTGe9yaF0UwQCAY7jLT5frYlipdK5s1ishq4YiUTCZrPlj/r5+Q0bNmzPnj2bN2/+5ZdfUBQlz0EsFjeqSaKnp2draxsWFkbuIgjSo0ePpjWlUmmzf64EFCddKQZxb7AdA1E2m6Vk6RbBMIyq8OhPBUGQtqUfaBb7afPqdi0s9vYyN+3RYmUynU7nu9OgdHuTxnG8Nc9Xax5AKp07iqLq6upVVVW6uroZGRmTJk0CAEilUvJdnqzg6el59epVAICdnd3jx4/79euXmZnp6+vbtDUtLS0yvczHRRkMBl1JJRUnnR577Buus5FGH+VLtwjjPbRIIwhClbRpT+PzLqHsY79ZrNrSYmXyY6Xz3WlQun1KU6JOcYfj+vXrg4KCLC0tDQwM7O3t6+vrnZycXrx4sW/fvtTUVC6Xe+vWrR07dgAAVq1a9dVXX7m5ueXl5UVFRVFrRodGIhL1fnym17cj6Dak8zMqNOjrI0bVBfhECzgnGNLZoNi5BwYGent7V1VVmZubAwA0NTXv378PAJg7d+7IkSPr6+u3b99Ofu+4ubklJiYWFxdbWFh0zYxgH+LmtZtCHfsxvbrRbUjnR4XJmDN28JirMp/uDAO4YAykc0H9VAEulyuf7FdXV5fcMDU1bVRTQ0PD0tKScgM6Ovj9qzperRrlg3w+bvrIVEvGojTsr6FwdVpIpwJ+jbYv7j57a8x/4+41kG5DuhAbXdGSwtfJN9LpNgQCoRLo3NsXTxMTqvp8gTLh5GvlocYEm9yY3eL+V10KEwJDOg/UO/c3b94kJibyeLxG5QUFBX///XdBQQG5W1lZ+eA9lMxc7gS8qMX6vk5w9oNDqcrG3b7nQ9vg7IORgKaZ7BAI5VDs3O/cuTNlypSMjAxfX195/56cnLxq1aqsrKzp06cfPXoUABAXF7ds2bLY2NjY2FiJpPlQna7G+aSHiJYux8SMbkO6IsHhE+qEWPrZU3QbAoFQA8Wf/1FRUVFRUa6urmKx+OTJkzNnziTLhw4dSqYiGDZs2Pr166dOnQoAGDNmzIIFC6g1oONSKQZ/VhqGhc2n25AuipYqo9vU79m/Lyjt62JoYUG3ORDI50Kxc8/JybGzswMA2NnZpaamNq1w9uxZHx8fAACDwTh58uTJkydNTU0PHz6sqqraqGZ5eXlaWtrWrVvJXQRBZs6cqaOj06iaVCqVSqXUnkUroVZ652PgZm2sbw5a0ya9Z81kMmkJ8ZBKpWSQqoLadzHX/cNtZr/DP+is3Imw/hMHi2EYeeIKkv44neYmh9KtkUZRtOXUAkxmiw8CxTcrQRCkJIIgOI43Onrs2LFnz56dOHECABAeHk6+vy9atOjIkSNz585tVFkmk4lEourqanIXQRCJRNK0TRzHmxYqBwql+TKwLxe5PoJoZXud46zbIN3sfUUhoWO8Lubfkx475DJ1TiPpLnvNoXQHlabYuVtYWDx//tzR0TEvL6/RHPZTp06dOHEiNjaWzMjT8G/HxsamvLy8aVPGxsbe3t5kOOtHkEgkTd/6lQOF0nuf48ONpfb6rW2NxrOWyWSqqqp0BWdTmFumWVQBcJwxP3vfj90lLFOtf88RwzAEQTrBnQal27k0hmFUPV8UP6Lz589funTpH3/8ERsbS6aFCQgI4PP56enps2bNcnFx+emnn8gB1d9+++3333/fs2fPzp07x48fT60ZHQsJDm7eztyUs5VuQyAAAODUXevt+A2Tk3EZPa9uEAg1UPzm7uvra2xsnJ2dHRcXR8amLl++nM1mm5qanjr1zzwEMn51xIgRqampKIomJycbGhpSa0bHIjofn14dbwQDl9oNix0ZKSXE2gfYVjcYtgrpqFA/QOTg4ODg4NCw6+npCQAwNDRs5MHNzc3J/DNdHJwAB+5XHq95pO66hG5bIP+AAHDQE3U5KxuJ5nu5wAwZkA4JjFClmZMv8HGV17ScPRFVmLmqHaHHBtHeQO3EhncP79JtCwTSFqBzpxOcAFsysPGVVzQGj6LbFkhjPLszHwxbXhOzS1xRTLctEMgnQ71zl8lkdXV1TcslEklpaan8QmU4jtfU1FBuQAci9iXuU5emoa2t0tOablsgzTDb1/6iRdiz3RsIiYhuWyCQT4Ni5379+nUvL69p06YtWfKfHuQ///zT19d34cKF/fv3f/XqFQAgOzvbw8Pjq6++CgsLo2tKKb3gBNiSif9fbZym51i6bYE0D4qA2dPHpataZe//H0w7A+lYUOzcly9ffvr06XPnzmVkZDx//ryhfPz48Tdu3Dh+/PjMmTOPHDkCANi4cWNUVFRMTAyHw7l27Rq1ZnQITr7AexJVnJoitX6edNsC+SC6qmDgzG9KS8oLEy7QbQsE8glQ6dzJbhZjY2MAwKBBgzIyMhoOqaurkxtZWVk2NjYAgMzMzIEDBwIA3N3dHz582LQ1oVD46tWra+9JTEzsTPnFyNf27wbpG674HUFhgt92TV8D1doJK6W3L1Q+zWi5NgTSPqDSrYjF4obkG2w2m8/nN6pw7NixsrKysLAwAIBUKiWjsJqtCQB48+ZNWlpaRUUFuYsgyK5du8zMzBpV4/P5dK3S9znSJwoZmig6iCsSyACor1em9GciEAgwDKMlQlUsFis6QvVD+PVW/2XAd/oJDyb2tEKVfuE76E0OpduAQCCQyWQtPl/q6uot55+hziqgpqYmkUgwDENRtKioyN3dXf7o6dOnY2JiYmNjyaump6dXUVGhp6dXVFTUs2fPpq1ZWVlxOJwW0w8QBKGpqUnhWbSeNktLcLDtqWy/J6qp2cYQZxrPGkEQNTU1Wpw7i8Wiy7ljGLbQ32FiinN2FvKzu7IjmzriTQ6l2waDwWCz2e0x/UBAQMCuXbtSU1Pv3bvn5eUlFouXLl0KALh69erSpUvnzJmTkpKSk5MDAAgPD9+yZcujR49Onjw5dmzXGlHc+xS30ybcq+/RbQjkE0ARcMyHmVxM7HnaFcf/IR0Oip37jh07WCxWfHz86dOnVVRUGAyGhYUFAIDNZs+dOzc7O/vBgwfkbJn58+f369fv+PHjBw8e7FLpB+qk4IdH2I+c+3VXj9NtC+TT4LDAOV/0x4eie3EX4eQZSDuH4qE8Fos1f/58+d2vvvoKAODl5eXl5SVfE0GQiIgIatU7BJGPsZEmjG73zmh4da3vlc5Bby3k+DCV8j2JucJKmwnT6TYHAvkgMEJVqZQJwW/P8I2G+Vh1mTqcAdkxGWzMRKauL3tw++WVs3TbAoF8EOjclcq6h9g0K4ZG2mlN73GAATMOdlRG2Wi/CtlUk3S65F4K3bZAIM0DnbvyeFJFnC3El/csE+dlagwaSbc5kM8i3M3o9ogNFbF7K7Ie0G0LBNIMFDv3mpqaSZMm+fv7r1mzRj6NDEEQc+fOHTx4cGxsLFkSFxfn5eXl6+vr6+vL4/GoNaN9siAVW++CordiNYeMhjkgOwHf+FgkfLGm9I8d1TlP6LYFAmkMxc5927Zto0aNunTpUn5+/o0bN+QPzZkzJzAwsKysjNytrKwMCQlJSEhISEjQ0tKi1ox2yMkXeLUEfNm9RpiZApPJdBoWjrKLH/z9u4Nb6nmfHIkGgSgUip17cnJyQEAAAGD06NHJyckN5QiCuLq6slgs+crnzp0nN63AAAAd2ElEQVRbuHBhUlJSs00RBEEukE3SofNHCmTg+3T8F3eUIRFyx81haHLptghCDQgAS8a57Bv+c/AttlBGtzUQiBwUT4Wsrq7mcDgAAC6XW1VV9ZGaHh4eDg4OOI5/8803O3bsaDRREgCQlZV14sSJv/76i9xFEOTatWvW1o1T43aIGOUtT9CB3Rj9NEUiwAV27vWfnm+gzdKU0zXTD2AYRkZfN3t002D1eWnYyEtYrLdMHaV+/nuHuMmhNCW00/QDAAB9ff3KykojI6OKigoDA4OP1LS0/Gf1snnz5iUlJTV17o6OjgYGBp0g/cALHnGgQJYZxNTUoGw9dZh+QMmQzl1N7YMjJX8NA3NvYXMTKg4PlGr3NKNWvf3f5FCaKtpv+oFRo0ZFR0djGBYTEzNq1CgAwB9//EFmc6ytrRUKhUKhkFzKIzc3VyqVCgSC8+fPOzo6UmtG+4EAYO4tbHlftIcGPS8CEOXAQMDvnqibas3bn5eXP4PjqxD6odi5L126tLi4eOzYsWFhYa6urgCA+/fvkx+zK1asePz4cXp6+po1awAAt2/f9vf3Dw4O/uKLL0JCQqg1o/3wRx5eLQYL7Bl1fx/lJcbSbQ5EgSAArBhjf917ecmhLa/v3aHbHEhXByHaa4qMyMjI0tLSFrtleDweXZNtWpSuEAHH09L4Ecx+7LqSH+YYLtmNausrR1px8Pl8urplaO9z/0i3jDx/3ch1jNugOmKa7XBqohna800OpalFIBC0024ZiDxf38GmWzNc9JC6hOPq/YdR5dkh7Zxwb5tXE3/gJRx7dB5+q0FoAzp3RXHuFZ5ZSax1RrGqMsH9JM7wMLotgiiPQNdewi//V5mWlPr7LoA3P8cGAlEo0LkrhDIh+L/b2H5PVI0Jai8d0fQMhHPbuxpeNvqmi/73vFy09u9CGcwAD1E6FDv3urq6hQsXTp48OS0tTb68urp6586d8+bNKygoIEukUunatWtDQ0MvXbpErQ20QwAQcUM224bhZYRI3xaI8zK1vui0I8aQj2Chpx64dFk6ajr6qqym8ywADOkYUOzcv/76ay8vr6ioqNmzZ8uvjCqRSPT19QsLC0tKSsiSLVu2cDicgwcPbtq06eXLl9SaQS+7s/FqCVjjjAIAas7u44yaCjPJdFm0VUD8CKa9DuJ6VvbgbTNrBUMgCoJi537nzp2goCAjIyNvb2/59AOGhoZTpkzR1/93RPHcuXNz5szR0tIKCwuLi4uj1gwaya4mNmVgR71RJgPgwnqGlrbGwBF0GwWhExQB/xuI7hjIqNuzOPHoUbiEE0Q5UBmhKhAI1NTUyLBdQ0PDhpf0ZqmrqyMTFRgaGmZnZzetkJ2dffbs2VOnTpG7CIKcOnWqnacfqJch4xNYm/pixqiYTDGgGvJtvUCgBGmlAdMPtA0/PVA4c82boz9d3ZbjEDGfw/2EAMh2dZNDaYXSTtMPqKmpkcGoAAAej9enT5+PVGaz2VKplMVi8Xg8LreZwUZbW9vQ0NDly5eTuwiCmJubN63WfmKUCQC+TMQ8u4O5jgr3PjD9gJL5pHnuH8JBU9Nq1fa4g0dKdi15HbR4kLtzK/+w/dzkUFrRtNP0AwiCmJiY5OXl4Th+8+bNQYMG4Th+//79Ziu7u7tfu3YNAJCQkODh4dG0AoqiXC6393ua9eztisjH+Kt64hd3FABAYDL49Q1piioLDflqpnjcItWzkSd/PVAvhpkkIYqC4vevnTt3/t///d+IESMmT57co0cPkUi0ZMkSAACPx/P19X306NHy5cs3b94MANiwYcMvv/wycuTI3r17Dx48mFozlM/1YuKnLCx2GKqKAkAQFb+uEOVl0G0UpJ3iPtjFbMWvOrVF9zYtTHleQbc5kM4JxVkhnZycyPdxEnV1dXJYVUtLKyEhQb6miYlJp5kEmVNDTEqSHfuC2UsTAQDU37pIYBjburUf3ZAuiI4Ox3f5hpSEm9+mEn3fYZEDUT023TZBOhcwiOlzKREC/yvY9gGoT3cEACCrLK67/JfupEWApgEZSAfC09crZZK+ripwOC09kIvjsCcPQh3QuX8W9VIw+opshjUjwooBAAA4Xh0dqeU7kWlgQrdpkI6BJgtEDUL/HsnkJRw/sj0q5UUt3RZBOgnQubcdCQ4mJMqcuyFrnP+5jHUJxwFTRcs7iF7DIB0O527IgllBjsYa2nvnRh24kF0JB1ohnwvFfe4AgEuXLj169CgwMNDe3l6+vLi4ODo6Wl9fPzw8HEXRvLy8hiiniIgIVVXKVilSDlIcTLujoqmC/OqBkiXi/Cf82/EGi3+BHTKQNsBgq7tFzOW/HeF9bF915IVtjtPHB3hYceG9BGkjFL+5x8TEREdHDxkyZPr06W/fvm0oxzAsMDDQzs6usLBw5cqVAIDU1NTU1FQdHR0dHR264gXajBgDoYkYA4BjX6BMBgAAEFJJ1dEfdKYsQbnd6LYO0oHR6GHmunSb/ZR5AfnHc3csXn8qM7sa9sRD2gLFzv3QoUPr16/39PScOnVqbOy/yaxv3bplb2/v7++/evXqs2fPkoXGxsZ2dnZBQUG0hKW0Gb4MBF6VsRjgyGAJ6/31Q5gsvTmb2DYutJoG6SToOLg6rdk9aPTooJxDIRerJ95SSSmBLh7yaVDcLVNUVGRqagoAMDMzu379ekP569evyXIURdlsNp/PNzAwSEtL+/nnn+/du3flyhX5tDMkL1++TEhIePHiBbmLIMjmzZt79erVqJpQKERRlNqz+AhlImTCDdSOS+weiAn5QoFATlrHSKqATAPNouSzlkcgEBAEQWP6AZmMhv5oMkJVycuWqTsNsnIadAcDB5+JZt5A2Ag+0woL683gsJRnBo13WteUFggEOI63+Hy1JoqVYueuqqoqkUhUVFTEYrG6urq8KVKplNyWSqWqqqqjRo0iV9COjIw8cuTI0qVLGzWlp6dna2sbFvbPGhcIgvTs2ZPNbjwZWCqVNi1UEFnVxLhrxDRLZI0zggAWLlOedCOUedaNwDCMqvDoTwVBEBrTD5Bx4cqXZgMwx0a6qD8zI+m6+olDu3RHCpxHhvfVddVTRmcmjXda15TGcbw1z1drHkDqg5gePHjg7e398OHDvn37AgBEIhGbzXZycjpw4AAAoLq6Wk1Njcn8VxfDsGb/SWppadnY2ISGhn5ckcFgKMfRnHiBz7+D/zQInWLJaJDmJ56UlrzSnbpMCQbIo7Sz/pA0LeoMBgNBEFqkyY8VGq85ymD0Hz5M6mA5P+m86Nq85HS3n3qNcXO2HW+O9NRQoJen/U7rmtKUqFPs3JctWzZz5kxXV9fc3Nx169YBABwcHB4+fGhjY2Nqajpt2rSXL19u2LABALBy5crS0lKZTJabmxsfH0+tGdQilIHFaVjCW+LqKGa/bv8+SOLrsbLsVP2vt9NoG6RLwTIy7T75W3zcl+PvXhl6M7IuD92n5fnEbJh3H+Px5ggZIA2BkCCUdyNKJJK3b9+amZmRc2Dk1xF/+/Yth8Mhd3Ecf/nyJYqivXr1avbfVGRkZGlp6Y4dOz4up+h1ylPLiJk3sf56yG4PlMN6X4rjNef2CZ8/Nvx6G0NTW3HqH4LG1dn5fD5dWSFpT/n7mVkh28yHfm5JYU79w+TXEvZek6nnCnELDjK6F8O3B+Kqh6AU+Xka77SuKS0QCKjq9qR+nruKiop8Bkf5a9SjR4+GbQaDYWFhQbk6hVSLwZoH2NlCYqc7Y4L5v9caF/Gr/tgGcFzjy3W0eHYIhETFzFbXzFYXgN8B2DsYTS4m3iTH30iqWKnu3M2yzxc9mL49EAsOfJ3volDv3DsBIgz89gz/4REWYs7ICmHqyMVXSQqfVR39ke0wUHvsbB5fSXNjIJAWYTLA8B6I1MdB8OD6pKf7ZddKcnWdflJxeajTz7SX8QB9ZIA+4tINUYNPfJcB/tT/oVoMDuXhP2Xh/fWQpACmnfZ/3npwYX3V0e3coK/UHAbRZSEE8hFYxmbc0TO4o2fg9TUGuQ/dch7yc47LcvFMk6Hf9ZiZXU3YaiMD9ZG+3RA7bcROB+nWwQLDIZ8A9c49KyurrKzMw8OjUUaB2tratLQ0a2trMzMzsqSgoKCgoMDd3Z2u7q0GCADSy4j9ufiZQjygJ+OiH+rcrZmPWYaaptGaI0q3DgL5ZBia2uquPuquProAYDUVJsL6IGOmGAMZlcTLR4907166x+q1G5gUqZtoGJlY67LstRErLmKqCUw1EVV6ZnhDKIZi537gwIErV67069cvMjJSPl07j8cjV/DYtm3bxo0bPT09r169umPHjoCAgHXr1iUlJdEyVCWQgdQy4sIr/NwrQp0Jplsxciew9OWmt8rK3/LTE5h63TUG+infPAiEElBtPVRbDwCgioJBBsgAD0uR7qBBJa8jSlOExUVETglfQ/+dRs8Cle7LDCY8FWvqqgIzTcRUCzHVBPooaq6LG7ARAzXQXR3RZLWoBmkvUOzcd+7cmZaWpqGhERoaeu/ePTc3N7I8NjY2ICDg22+/9fb2JvMTREZG7t2718rKqrS09MKFCw3BSgqlTAie1xHPaoisaiK1lMiuJvp2QwJ6Mi6PZPTRRgAAhEQkK6+UvnshfvlM9Ow+IaxX7+/DtuqnBNsgEOXAUNdUd/Vp2CUwGVZRbFr6ekB12cwBLESNVSwgXvKA3u/zCLGgWlW3FuW+YmqlI5xXgFuFckq5FlXdeuuoAh0VRFeF0GeKNdXVdFSBOhOoooCrgrAYgMMCbBSoMYEWC2EiQAd2/tABlc5dIpHgOK6hoQEA6NOnT25uboNzb9gmywEAL168sLS0lC9pRHl5eVpa2tatW8ldBEFmzJjRrdt/0nLJZFji2biGiSwSAmDvJ3a+5Vo+7davQgSqxIBTWWhfcV8gA2pMoK+Cm6DCUWwwUw0YcYHW4DEoRxcAIJWCqt1LZMWFDE43poEJy9SWM3Ehq4clQBAcAPx9eK08UqlU2ly5EqBXmslk0jIVUiqVkkGqypfGMIw8ceVLAyX83LpGTF0jJgAYAEAq1WcBfV1ALP0Jr6vSK37NJjBcUIfX1xKCWinvtUCnpqS/ebUY1EgI5ouHbgnbUEwsZmkQAIhQNRlACQB4TM2t5l9lqNvUy4AUBxFvYuzEhUwGEKPqBIqqMACCAAIwStUMr1sEkyZoyOrHvTrDAP88wKookAIGpqIGAHip3/edjhUAgMMCJpVPu1c8bXoGBGA8th4tQ/+ZJuv0PF4dEzKb3Ck13F5veg4gt7V4xaavbjd7PXJ7DJLq/PMJb/rqthavuGkdiYpmnvVIcpslE1rn/o0QeNNqJcZOFd2syW2DsqcGZc0YjyOMXNvRGKoCAJBKQYSNtIdGS6kFmMwWHwSKb9aGWfONhAmCaDShvsX59RiGiUSi6upqcldFRQXDMBz/z+WTYRgmEgICQwBAAFBDQMP0XpwpYesSuiqEHhsxqJboPK9no4CJogSBI+z3eREYKMFgNrSp/dUP4L8+CyeIj6xzjeN4I3uURpeVRhCEFnX8PcqXBnRdc4SBcPUAQ5X13yExLgDG4L0xvfqBoScAQeBCPgAASIQEjgEAcEF9tLEZgv5TTfa2v7iihxgDYpEQk2ECKQAAEADHUVUXm/ceQ8pQE2sx8H8SBwkxhBAJVEE9AEBNU2KoSwAA6qRAi4FxpfVNjcUZKBfFZMx/WuNgAoaYL2vy7IpVhdWS94piGS5spikAAE9CCN9XMxKLNJqrJsXRhqZUpTJMWM9ozrnzRZKGalpiabOKOAOtFWNS0niMkMgo+rUJSunTpw+ZWGrixImpqakN5b///vuWLVsIgnjy5MmYMWMIgvDx8SkoKCAIYtWqVdHR0U2b2rFjx5IlSz4uJ5VKDx8+TJ35n8aBAwfoko6Ojubz+bRIx8fHv3nzhhbpu3fvZmZm0iKdn59/7do1WqRrampOnjxJi7RMJjt06BAt0gRBHDx4EMdxWqSPHz/O4/Fokb58+fLr168paYpi5/7zzz+Hh4fv3LnTx8cHx3E+nz98+HCCIKqrq93c3Pbv3+/r65uQkEAQxPnz5/39/fft2+fm5lZfX9+0qdY496Kioh49elB7Cq1HTU2NLg/r6OhIl5sbN24cXb7m+++/37RpEy3S+/fvj4iIoEU6JSXF3d2dFumSkhIDAwNapAmC0NLSqq2tpUW6X79+9+/fp0V6woQJx44do6Qpirtl5s+ff/fu3bKysgsXLiAIoqqqSmaS0dbWvnTp0o0bN3bt2tWnTx8AQGBgoLm5+fPnzy9fvkx200MgEAiEKqgfIBo06N8AHxRFBw8eTG7r6emFhITI13R0dHR0dKTcAAgEAoHABbIhEAikE0J9VkiqmDdv3t9//21lZfWROmKx+N69e0OGDFGaVfIkJyd7eXnRMikwLS3N3t5eU1NT+dKPHz82MjIyMDBQvnR+fj6TyWyIcFYm7969q6mpsbOzU750bW3t8+fP+/fvr3xpqVR69+5dT09P5UsDAJKTkz09PWlZESk9Pb1Pnz60RM5nZWXp6+sbGhp+vJq/v/9333338Trt17kXFxenpaW16L9KS0tbvBAKgkbpsrIyfX19WmZ8V1VVaWlpsVg0hCrW19czGAz5Fb6UhlgsFgqF2to0JAHFcbyysrLpOpTKAT5fSqaqqkpTU7PFvNa2trYmJiYfr9N+nTsEAoFA2gzsc4dAIJBOCHTuEAgE0gmBzh0CgUA6IR3MuVdWVs6ZM4fMbdDoUHR0dHBw8Nq1a2UymSKkcRzftGlTUFDQ4cOHGx369ddfZ86cee7cOUXokhw+fDgoKGjTpk3yWSekUumaNWv8/f3Dw8OfPXumIOmYmJjg4ODVq1c3yl21bdu2UaNGBQUFJSYmKkj6zJkzwcHBy5YtE4vFTY9u3rz50KFDCpLOyckJDw+fNm1aYWGhfPnVq1dD36OgZF75+flTp04NDw9//vx5o0PJyclhYWGBgYGZmZmKkObz+QsXLhw/fvzly5fly2/evNlw1qtWrVKEtEQiWb58eXBw8OnTpxsd2r9/f3Bw8OTJk58+bSbr1udDEERkZGRQUNDu3bsbHYqPjx8/fvysWbNKS0sVIf306dNVq1ZNmjSp6aH79+9PmjTpyy+/bLs0JXGuSiM4OPjq1avl5eWOjo7yof/379/39fWVSCQbN27csWOHIqT37NmzYsUKiUQSGBiYkpIifyg6OnrFihXbtm1ThC5BECkpKYGBgRKJZMWKFXv27GkoFwqF58+fFwqFaWlpffv2VYR0Zmamj4+PWCzeunVroxPMycmRSCRFRUVmZmYikYhy6dzcXA8PD6FQuHPnzjVr1jQ6+vfffw8dOnT+/PmU6xIEgeO4s7Nzfn5+VlbW4MGD5Q/t2bNn165dVVVVVVVVipAmCMLNze3Zs2dkIlX58idPnnh7e5eUlNTV1ZWXlytC+ptvvjly5Eh9fb2rq+u7d+8aysViMXnKP/7449q1axUhvXbt2qioKJFI5OnpmZOT01D+5MkTDw8PsVickZGhoDQM0dHR8+bNk0gkU6dOvXjxYkP569evXVxc6urqHj58OGLECEVIZ2ZmXr582cTEpFG5SCRycHAoLi6+deuWv79/2xrvSG/u5LXw9fXV09MbMmTIrVu3Gg7Fx8dPmTKFxWLNmDHj4sWLilC/ePFiREQEi8UKDw9vJDF58mSFTr6+ePFieHg4i8WKiIiQl2az2YGBgWw228HBgc/nK0I6Pj5+8uTJKioqM2bMiIuLkz9kY2PDYrEIguByuYqY7H/p0qWwsDA2m91Uuq6ubu/evQsWLKBclCQnJ8fIyMjCwsLe3h5BkJKSEvmjGRkZp06d4vF4ipB+9eqVhoaGra2ttbU1l8t9+fJlw6GDBw9OmzYtLi7uwYMHenp6ilBPSEiYPHmyhobG2LFjr1y50lCuoqKio6Ojo6Nz6tSpadOmKUL64sWLM2bMUFVVDQsLi4+PbyjX0NAgMy0TBKGgqahxcXHkoz1t2jT55ysnJ8fFxUVLS8vZ2fnx48f19c2nkPwc+vbtO2LEiKYTi9PT011cXIyMjDw8PF68eCGRSNrQeEdy7jU1NRwOh9zW19eX/1oh56UCAAwMDMrKyhShXlZWRj5RBgYGCvpG+4j0x89uwYIFy5YtU6h0owtOMnHiRB8fn7CwMEVMe2+Q5nA4tbW18odWrly5bt06xWVXLy8vb5hX3ujEnZ2dfX19URT18/Nr2m2iUOlXr179+eefhoaGv/zyy4EDByiXBgBIJBLyp2z2Js/KyuJwOBYWFoqQrq6uJn13I2kzMzNLS8shQ4aMHz9+8eLFipCWf7Tlny8nJ6fU1NS8vLyLFy+WlZUpyLE0i/xtoKenV1FR0YZGOtIC2RwORyAQkNt1dXU6OjoNh7S1tevq6shyBf1719bW5vF43bp1ayStBD5+dsuWLTM2Np41a5ZCpXk8XlPpmJgYgiC8vLxCQkKsra0VJC0Wi+VXYczJyUlLS3Nycnry5El2dvaDBw9cXV0pl254MW/0c7u7u7u7uwMAeDzexYsXFy1aRK00l8v9kDSXyw0ODh49erS5ufn333+viF8cRVGCIBAEafYmP3DgwJdffkm5KImGhoZQKFRTU2skTX60paen19bWDhgwoNmFfT6Thp+70fNlaGh44MCBn3/+2crKyt7eXpkRVY3uwLb5tI705o6iqJGRUV5enkwmS0lJGThwoEwmI0dWPT09ya/Iy5cve3l5KULdy8uLlLhy5QopkZ6e3uxAH+U0nF2D9NOnTysrKwEAa9askUqlGzduVLR0w4XNy8srLS0lCIK8+WQymVAoVMSbu/xZkxHw+fn5796909fX//7773V0dDQ1NVVVVdlsdkstfTI2NjZ5eXk8Hq+qqqqiosLExKS6uvrJkycAAPKsCYLIyMjo3r075dLm5uZv3rypqampra199eqVhYVFXV3do0ePAADe3t75+fkAgPz8fEVIAwBcXV1v3rxJEETDNb958yZ5SCKRxMfHjxs3ThG6AAAvLy9yFLfhTiNHtsRiMZmBgMFgSCQSQgFBl56eno2kHz58SPZzurm57d69e8CAAT179lRO8lrSq7i4uKSlpYnF4tevX6upqbUxKruNAwE08fjxYz8/Pz8/P3INgdraWnK0AcOwxYsXBwQEhISEVFZWKkK6pqZm4sSJAQEB8+fPl8lkBEEEBweXlJQQBDFhwgQHBwd7e3sFjbrIZLL58+cHBASEhYXV1NQQBLFixYqbN2+WlZX17t3b9T0YhlEujeP40qVLAwICgoODyUG8LVu2XLp0SSaTDR8+3MfHZ8iQIXv37qVcl2T16tX+/v5jx44tLi4mCCIqKurMmTMNRxMTE9evX68g6bi4OF9f3+HDh1+/fp0giPT09O+++44giJUrV3p7ew8ZMmTBggXkbUA5CQkJw4cPHz58+JUrVwiCePz48bx58wiCkEgk8+bNGzt27JgxY4qKihQhXVhYGBAQMHLkyO3bt5MlQ4YMabBqxYoVihAlKSkpGTdunL+//6pVq8gSb29vqVQqkUgiIiICAgK8vLwUtJAAn8+fNm1aQEDArFmzxGIxQRAzZsx4/vw5QRAhISHDhg0LCQmRH16mkOvXr7u6ulpaWrq6upJnFxwcTL48RUdH+/n5DR8+vM2Z5WH6AQgEAumEdKRuGQgEAoG0EujcIRAIpBMCnTsEAoF0QqBzh0AgkE4IdO4QCATSCYHOHQKBQDoh0LlDIBBIJwQ6dwgEAumEQOcOgXyQ4uLi0NDQtLS0MWPG9O/ff9GiRUKhkG6jIJBWASNUIZAP8vz5c2tra0dHx82bN2tray9ZssTExOTMmTN02wWBtAx07hDIByGde0xMTFhYGAAgLy/P1tY2NzfXysqKbtMgkBaA3TIQSAt4eHiQG9bW1t26dVPQYm8QCLVA5w6BtACGYQ3bOI4jCEKjMRBIK4HOHQJpgdu3b5MbT58+rampsbe3p9ceCKQ1dKSVmCAQWvjhhx8YDAaXy12xYkVoaKiC1pmDQKgFOncIpAX279+/c+fON2/ejBkzZvXq1XSbA4G0CjhbBgL5IORsmYa1myGQDgTsc4dAIJBOCHTuEMgHMTAw2LdvXxuXJ4ZAaAV2y0AgEEgnBL65QyAQSCcEOncIBALphEDnDoFAIJ0Q6NwhEAikE/L/qSVEAHn/iGgAAAAASUVORK5CYII=", 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"title!(\"P-value functions for n=$n, k=$k, a=$a, b=$b\")" ] }, { "cell_type": "code", "execution_count": 43, "id": "60a17f65", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (30, 9, 0.05) = (30, 9, 0.05)\n", "(a, b) = (1 / 2, 1 / 2) = (0.5, 0.5)\n" ] }, { "data": { "image/png": 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ytick=0:0.05:1)\n", "title!(\"P-value functions for n=$n, k=$k, a=$a, b=$b\")" ] }, { "cell_type": "code", "execution_count": 44, "id": "d3f285a2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (100, 30, 0.05) = (100, 30, 0.05)\n", "(a, b) = (1 / 2, 1 / 2) = (0.5, 0.5)\n" ] }, { "data": { "image/png": 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", "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@show n, k, α = 100, 30, 0.05\n", "@show a, b = 1/2, 1/2\n", "\n", "plot(p -> pvalue_eti(k, n, p; a, b), 0.15, 0.5; label=\"Bayesian (ETI)\")\n", "plot!(p -> pvalue_wilson(k, n, p); label=\"Wilson\", ls=:dash)\n", "plot!(xguide=\"p\", yguide=\"P-value\")\n", "plot!(xtick=0:0.05:1, ytick=0:0.05:1)\n", "title!(\"P-value functions for n=$n, k=$k, a=$a, b=$b\")" ] }, { "cell_type": "markdown", "id": "0d2c6899", "metadata": {}, "source": [ "$n=100$, $k=30$ ではほぼぴったり重なっている!" ] }, { "cell_type": "markdown", "id": "9731553b", "metadata": {}, "source": [ "ベイズ版P値函数のETI版が与える点推定の結果を最尤推定値によりよく一致させるためには, 事前分布として, Jeffreys事前分布 $\\op{Beta}(1/2, 1/2)$ ではなく, 事前分布\n", "$\\op{Beta}(1/3, 1/3)$ を採用すればよい.\n", "\n", "その理由はベータ分布 $\\op{Beta}(a, b)$ の中央値が $(a-1/3)/(a+b-2/3)$ で近似されるからである.\n", "\n", "ベータ分布についてはウィキペディアを参照せよ:\n", "\n", "* [ベータ分布 - Wikipedia](https://ja.wikipedia.org/wiki/%E3%83%99%E3%83%BC%E3%82%BF%E5%88%86%E5%B8%83)" ] }, { "cell_type": "code", "execution_count": 45, "id": "226b4e9e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (10, 3, 0.05) = (10, 3, 0.05)\n", "(a, b) = (1 // 3, 1 // 3) = (1//3, 1//3)\n" ] }, { "data": { "image/png": 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", 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"title!(\"P-value functions for n=$n, k=$k, a=$a, b=$b\")" ] }, { "cell_type": "code", "execution_count": 46, "id": "9358360c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (30, 9, 0.05) = (30, 9, 0.05)\n", "(a, b) = (1 // 3, 1 // 3) = (1//3, 1//3)\n" ] }, { "data": { "image/png": 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ytick=0:0.05:1)\n", "title!(\"P-value functions for n=$n, k=$k, a=$a, b=$b\")" ] }, { "cell_type": "code", "execution_count": 47, "id": "df54df53", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (100, 30, 0.05) = (100, 30, 0.05)\n", "(a, b) = (1 // 3, 1 // 3) = (1//3, 1//3)\n" ] }, { "data": { "image/png": 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", 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k=$k, a=$a, b=$b\")" ] }, { "cell_type": "markdown", "id": "300d6508", "metadata": {}, "source": [ "$n=100$, $k=30$ ではほぼぴったり重なっている!" ] }, { "cell_type": "markdown", "id": "54123d11", "metadata": {}, "source": [ "### ETI版信用区間とClopper-Pearsonの信頼区間の類似と比較\n", "\n", "ETI版の信用区間に付随するP値函数の定義は\n", "\n", "$$\n", "\\pvalue_\\op{ETI}(k|n,p,a,b) = \\min\\begin{pmatrix}\n", "1 \\\\\n", "2\\cdf(\\op{Beta}(k+a, n-k+b), p) \\\\\n", "2\\ccdf(\\op{Beta}(k+a, n-k+b), p) \\\\\n", "\\end{pmatrix}\n", "$$\n", "\n", "であり, Clopper-PearsonのP値函数の定義は\n", "\n", "$$\n", "\\pvalue_\\op{CP}(k|n,p) = \\min\n", "\\begin{pmatrix}\n", "1 \\\\\n", "2\\cdf(\\op{Beta}(k, n-k+1), p) \\\\\n", "2\\ccdf(\\op{Beta}(k+1, n-k), p) \\\\\n", "\\end{pmatrix}\n", "$$\n", "\n", "と書き直せるのであった. これらは非常によく似ている.\n", "\n", "ETI版の信用区間の定義は\n", "\n", "$$\n", "\\begin{aligned}\n", "&\n", "\\credint_\\op{ETI}(k|n,p,a,b)\n", "\\\\ &=\n", "\\left[\n", "\\quantile(\\op{Beta}(k+a, n-k+b), \\alpha/2),\\;\n", "\\cquantile(\\op{Beta}(k+a, n-k+b), \\alpha/2)\n", "\\right]\n", "\\end{aligned}\n", "$$\n", "\n", "と書け, Clopper-Pearsonの信頼区間の定義は\n", "\n", "$$\n", "\\begin{aligned}\n", "&\n", "\\confint_\\op{CP}(k|n,p)\n", "\\\\ &=\n", "\\left[\n", "\\quantile(\\op{Beta}(k, n-k+1), \\alpha/2),\\;\n", "\\cquantile(\\op{Beta}(k+1, n-k), \\alpha/2)\n", "\\right]\n", "\\end{aligned}\n", "$$\n", "\n", "と書ける. 当然のことながら, これらも非常によく似ている.\n", "\n", "各 $a,b$ ごとに $k$, $n-k$ が十分に大きければ次の分布の近似関係が成立している:\n", "\n", "$$\n", "\\begin{aligned}\n", "&\n", "\\op{Beta}(k+a, n-k+b) \\approx \\op{Beta}(k, n-k+1),\n", "\\\\ &\n", "\\op{Beta}(k+a, n-k+b) \\approx \\op{Beta}(k+1, n-k).\n", "\\end{aligned}\n", "$$\n", "\n", "ゆえにこの近似が成立するとき,\n", "\n", "$$\n", "\\begin{aligned}\n", "&\n", "\\pvalue_\\op{ETI}(k|n,p,a,b) \\approx \\pvalue_\\op{CP}(k|n,p),\n", "\\\\ &\n", "\\credint_\\op{ETI}(k|n,p,a,b) \\approx \\confint_\\op{CP}(k|n,p).\n", "\\end{aligned}\n", "$$\n", "\n", "という近似も成立することになる." ] }, { "cell_type": "code", "execution_count": 48, "id": "d1bafd39", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k) = (10, 3) = (10, 3)\n", "(a, b) = (1 // 3, 1 // 3) = (1//3, 1//3)\n" ] }, { "data": { "image/png": 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", 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"plot!(xtick=0:0.1:1)\n", "title!(\"n=$n, k=$k, a=$a, b=$b\")\n", "\n", "P2 = plot(Beta(k+a, n-k+b), 0., 0.85; label=\"Beta(k+a, n-k+b)\")\n", "plot!(Beta(k+1, n-k), 0, 0.85; label=\"Beta(k, n-k+1)\", ls=:dash)\n", "plot!(xguide=\"p\", yguide=\"probability density\")\n", "plot!(xtick=0:0.1:1)\n", "title!(\"n=$n, k=$k, a=$a, b=$b\")\n", "\n", "plot(P1, P2; size=(800, 250), leftmargin=4Plots.mm, bottommargin=4Plots.mm)" ] }, { "cell_type": "code", "execution_count": 49, "id": "7e36edc9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (10, 3, 0.05) = (10, 3, 0.05)\n", "(a, b) = (1 // 3, 1 // 3) = (1//3, 1//3)\n" ] }, { "data": { "image/png": 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", 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functions for n=$n, k=$k, a=$a, b=$b\")" ] }, { "cell_type": "markdown", "id": "11b89716", "metadata": {}, "source": [ "このように, ベイズ版P値函数のETI版のグラフの幅は, Clopper-PearsonのP値函数のグラフの幅よりも狭くなる.\n", "\n", "つまり, ベイズ版P値函数のETI版は, 「幅を縮める変更」をClopper-PearsonのP値函数に施して得られたP値函数であると考えることができる.\n", "\n", "$n$ を大きくするとそれらはほぼ一致する." ] }, { "cell_type": "code", "execution_count": 50, "id": "c6af20fa", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k) = (30, 9) = (30, 9)\n", "(a, b) = (1 // 3, 1 // 3) = (1//3, 1//3)\n" ] }, { "data": { "image/png": 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iItLS0qjyUjNnzqzvw0HqCF6cL/yaTvBLUbY226VrQ7sDgUAgNYME4FMZmVQMiqpIFgqMNREPA8RAo6HdgrQ86j3AcnFxyc7OLigo2LNnT4cOHer7cJDagRfn856F8uMfERU8loUtytFFMAbbqTNoam9tnj179vjxY+ozNSpHqqprXaB6sNGYsauqqtLQoE34qT5YLBaLrgZp7HOGYdiECRO4XG7dm4JAFJFYRB5OIq6lkxgCXA2AgQYiwMG3CiKhkLTlIsMssR9dgGljmikI6lXz1qt6D7BatWo1efLk+j4KpNYQlfzSO2f40eFaHfsaTl3DtLADMn9IopL/bfMM7W6+OgPHIRqaDeKniuzbt6+ysrJdu3YN7YiqiLsb0gWPx6O3QVq4deuWsbHxyJEjG9oRSPMkrZRc/ZKIyiPntEMj/VAH3f+IGE6CZznkyWTc+YpoWlt0bXtMnyEiyooRBgPl6DWUzwDqVXPXK3WMIoQ0ZqpS4oFI2GrNUSVCg7K1TFf9VRp66tu2ufrjlrIdPdXpYU0ZP3782LFjG9oLyH/IycmBdeUh9QEJwJ5E4v9e4avcsTPemKa8exqGgF6tEE+uaLN5xovwhwnB8baCbCZHB9MzNlm6+9+mhAKESVtCRUWgXjVC6NIrGGC1dDTde2q691SygYgAT3PIZ7n6SeZLTZHXU0/9+dZmQFGvyX0tUEv484FAIA1HuRBMjsS/VZAvhzHacJW9C6tKiS8NOYXyywZ06pfWc9mg9617mzP3dP93jh6ikv9t83R2u446gyYxjKqZTggCUYUm1sMGok5yKsDql7jFeeHKKLyoiuxvgfTq0T5t8v52xW/tQrb4h1R0ucU8+I6opHNiCggEAlGJbxWgd4jIWBM89K8muuI9u1UUtE+zh7/pL3/rDJrk6eEYNYJdUAUG3BLl/28uSZSt1WrdSWar1rl7lpWEnCSFdM75CWmZwACr5UGSRZf2l4YGKtlEQIAtrwiXy8JKHDzxZ0QPZ+zogk11QH9ojQ531ndfubWjGftZ8cY97SvCs0HbINE/aYTa3IdAIJCvfNA3VDTcBj3qhbGqu49pdRnY6pe/mW49xB1MuUwQ1B/r3QrxuinK4n1/GYSytbgDxpquPizKy87dtUiY86VeTwHS7IEBVoujJOSEMPsTd0CAog3el5Bdrouicsm4EYy93TGp7qIAAARjGExapWHn1k2r6OoA9PIAbE8i4Xtb9JXm7o8QCAQih8IqMPC2aIoDuqGDSrcwhMEEqHTFDgSA/+uMzW6H9gnFM3n/drjBuPqG09dy+o3O2/9TxZvndPoNaWHAAKtlURl1pyIxymj2RkWDAW9lkL1DRPOd0Rs+mDVHcdYdQXQGTUL1jAEAXYyRqB8YPUzRTtdFD7/CjswQCKQeqcTB0HsiPytkjYey+1dZ5NWK10+qbW2FGzrfCR14G8+t+I9du8tA4x83F1/5q/JddB0dhrRYYIDVghB8TKyIuGg053dUS/70HidSiNmP8RsDGXPa1eyHwUDBr57oaW9s7H3R6VT4uhACgdQXsx/jltrIti7KasiWhV/kv7jDauOsSoPL3dAxbZCh90R80X/sTEt7k+X7WNZt6+ItpCUDA6yWAl5aVHxmBydgKcOwldwNDicRv8cRkX5YV5OaTUwn/JrOj7kPAOhvjjz0Z/waR+xJbJ4xVkRERHh4eHh4+JMnT0pKSmhp8+3btzt37gQA5OXlTZ06lZY2a83vv//+4sWLGu0yderUvLw8KWNERMTp06fp8wsC+c6+t0RSMXmyN6ZEpHjPbvFe3DWavw3TMVCx2Y0dMSc9ZFIkTvw3BY/pGKAc3dq726BAvZJFzXoFA6yWAUkWntmu2dWXae8hd/25D8T/vSIe+MnpcVUtqBa35ObxqpR4AICjLvLIHzuUROxujjGWj4/Pzp07jx49umHDBhsbm4iICCUbT506dc+ePdW2uXLlyvbt2wMA+Hz+tWvXlGxZWFhIVVesPx4+fJiZmaloLZ/Pl51m8Nq1a7LGrl27bty4sbCwkH4XIS2Yl3nk/73CL/XHtBRPEFOZFFN696zRvC2qR1cAAASAo72w/EpyU7zCvxhR2cQ6mUK9anC9ggFWi6Ai4SnAce7A8XLXRn4ll7/Abw/ClA91VgSma2gw5efCMzvw4nwAgJU2EjEEO/CWOJbcDGOsnTt3BgUF3b9/f968ebt3/ztFYWlp6bNnz96+fUtNT1daWlpWVlZQUPDx48fc3FwAgFAojImJefjwYU5OjnivpKSk5OTkAQMGyB4oPT29tLRU0tK1a1dZNSksLHz8+HFUVFS1MywXFhYWFhYWFxffv3//y5fqh0fl5+dnZWVJWvbs2UM9vMry+vXrqKgogeD7yHYOhzNo0KATJ05UexQIREXKhWDiA/xgT2UyJcrLKjq3y3D6eoahWU3bZ6HgUn/GiRQiNEN+R9Kc7T9Sj5FNCKhXcjdWm17BmSJbBGzXbmynzoS8Ik0fSslx90Xn+jJc9GtfskrDzo3Te3jh6W3GC7cDFLPURu4NxnqFiMy0EH9r2iphNSoqKyvFlaqCg4MXLVrUvXv39PR0ExOTa9euvXjxIi4u7tOnT+/fv+/du/fChQu7d+9uZmamo6Pz4MGDrVu3Utn1oKCgIUOGSBULw3F8yZIlKSkply9fVu5DfHz8+PHjO3ToUFJSkpSUdO/ePQcHB0Ub79y5MzY2tri42NLSMjIy8u+//1ZSCCIiImL27NmnT5+2sLCo9lIsXryYIIiysrLi4uKIiAhDQ0MAwJAhQzZt2rRy5cpqd4dAVGF5FN67FTLSRmFSgBRUFhz/XcdvGsumlpVnTDXB+b7YqHBR1DCG7BAfg8k/FZzYbLL4D4aJZe3ab0CgXolRp17BAKtFgGAMgDEALj0laIUIjI7A13XA+pnXNQzi9g+oSksoDbuo4zsBAGCng1wfyBh6TxQ2mOFu0DAx1tk0IrPOda7cDZDBVv/6P3fuXA6Hk5eXJxAI7ty5AwAoKiqaM2fOgwcPnJ2dSZL08/M7c+bMtGnT+vTp06FDh6VLl1I7Pnv2jCprmpyc3Lt3b0qwoqOj/f39JQ/H5/PHjRtnaGgYGhpabdlXFxeXpKQkSu+2bt36xx9/HDlyRMn2mZmZcXFxbDb77Nmzf/75pyLBCgwM3Lp16+3btx0dHau9PgAANze3zZs3AwDGjRu3c+fObdu2AQDc3d1jY2NFIhGDAUUGUlfuZZFhWWTCSGW/pdI7Z1itHbW7+dblQD1MkeVu2IQH+EN/hlQ/Lw1bV13/6fnHfzddvrc+SrJCvZKiGegV1L4WzZIXuLMestCZjjfFCKI/fnnOzgVs584sKwcAQBdjZF93bHgY/nIYw4hNwxFqSpkQFAnqOm0ETwQA+FewlixZ4uDgUFhY+Oeff/7+++9///13bGwsAODmzZs3b94EAJAkGR0dPW3aNKl2Xr58efz48ezsbIIgCgoKCgoKDA0N8/Pz9fX1xdsIhcK+ffsOHjz4t99+oyxFRUWdOnWiPmdkZPTq1Yv6/+/bt8/Pz4/BYBw9ejQ8PLy4uDg/P19Xt5reuAMGDGCz2QAANzc3KuseFxf3+vVrAICjo2OPHj0AAPv37+fxeI8ePTIxMaH2mjNnDtV7o7i4mCRJqjdonz59xBn10aNHUx/GjBkjfg1hYGAgEomKioqMjY1VvNQQiFzKhWDuE/yoF8ZVegfX7ulfo35Xiljhht7NJLa+ItbJTLKl3c1XkJFSeP5Pw2lr634gKaBeSdEM9AoGWM0Zoryk/PktHQVdr66mEw+yybgRtP0GMF1DvWGzi87/abJiP4IxAABjbdFXBeSkSNEtXwaq9jTWj070dzF0dnZ2d3cHAFhbWzs5Oe3YsYPH42lra9va2lIb2Nratm7dWmqv1NTU0aNHHz9+3M3NTUtLy8zMrKqqCgDA5XIli8mjKGpmZpacnCwUCqnHQV1d3fv371Nrvb29z507Z25uDgCgVGDfvn3Xr1/ftWuXubl5eHj4wYMHlTuvqfn9sRvDMBzHAQBfv36Nj48HAGhpaVGrTE1No6KiCgoKxIK1ZcuWtWvXAgD++usvkUi0ZMkSyaYAANSTLvWBOi8AQHl5OXWCKl1WCEQxG+PwPq2QgRbVKIii8dE1BUVAYB+s43WRnzXSwVD6oHrD5+buXVb+5CbHaygthxMD9UqKZqBXMMBqzpTcPIFqy//F5FSABU/x6wMZyh8Ka4pW5/5Vn96Kvn1hWnz/A2/uhA28Jdr8ilBxzuWmwufPnzEMY7PZHTp0yMvL69atm5WVleQGmpqa4n9vQkKCi4uLn58fAODRo0ci0ff5dtzc3N6/fy/eBcOwK1euTJ8+fcSIEZcvX2az2SiKiuWPwWBYWFhYW1uLt4+Ojh49enTHjh0BANSDKUV2draWlpaenl61Z+Hn50d5JSYgIGDKlCm+vr43b9708PAA/xNHAICenp5QKJSV4ydPnjg7OwMAHj9+TO0CAEhOTnZ0dKQeQCGQWvOmkDydRiSOolWnqsNCG9nVFZv2EI8ezpCqw4MwWYbT1ubuWaZh5wY4hur0qi5AvRKjTr2CAVazRZj1sTLppekvx+WunfcUn+mI1nTKK1XQD1gsuYgh4Fw/huc1YT8zxKtVk+/wvmnTJgMDg4KCgvDw8N9//11LS8va2nrt2rV9+/adPn26pqZmTEyMn5/fxIkTe/fu/csvv+Tk5HTr1q179+4zZ85ct24dh8MJDQ0VP0L5+fmtWbNGsn0Mw06ePDlnzpwRI0ZcvXpV8sFLlr59+27evBnH8ZSUlCdPnoif6saPH+/n5/fTTz/V7hz9/f0xDBs8ePDVq1e7detW7fbHjh3LyckpKysLDAx89OgRZXz48OGQIUNq5wAEImbJc/w3T8xY8Y2vKiUeMFgati70HneiPXr5E/l/r/DfPKVnNGUYmesOnVF89RB7yjp6D0o7UK9kUadewQCr2VJy42+u70SUrSW76vInIrWEvNBPTd9+K01wrBdjUiT+eiRDl6WeY9YLFy9epEY1a2pq7t69W/wI+PPPPw8aNOjRo0cCgWDSpEn9+vUDAEyYMMHV1TUtLc3S0tLKyioqKurGjRva2trBwcGRkZFUV4Z+/fqVl5e/e/fO2dnZ2Ng4MDAQAIBh2LFjx0JCQjIyMtq2/XcW6T179hgZGUn6M2vWLEtLy7i4uL59+65bty4pKQkAQJJkWlra0KHS7y8mTJhAOQ8AsLKyktu9dMOGDXZ2dgCAwYMH37p1ixqwLWbEiBGyE9sEBgZ6eXldu3aNy+VGRUXZ2NgAAAiCOH/+fHBwcI0uLwQixfUvSEEVUFJYguCXF57ZaTjrt/o4+v4eaIdrovF2qKPM7IDaXX3Z7To18nmxoF41vF6RjQwfH5+7d+8qWltaWkrjsQQCQUVFBY0N0uteXRqsePvy65aZhEgoaRSJRHw+v7iKtDwnfPqNqLt75eXlBKFqO/OeiKZGipRvU/cLOHbs2AsXLtSxEXVy48aNefPm0dhgdnb2unXraGywFgQHBy9YsEDSMm3atJMnT9L+B2lwoF7VX4N8gcj2guB+tjKFKbq0v+jSARUbrJFeUexNxL1DhIr2gXpVd5q3XjWrbjGQ7xBEyc3juj/MonqaS7EhFvezQnqY1vvburx9K4jyYvHizq7Ys1zyxudmOPtoXRg6dGi1nT1rhJmZ2aZNm2hssBb88MMPBw4caFgfIE2dg0mkow7R10yhUgkz0yoSnun41WPBloXOaCUOAlOgan0H6lWNgAFWM4QfH4lqamu6ynkbnVSCXPhIbO6krE4qXbBsnIpv/NsDTJsB/u6FzX9GFAvUcHAIBNKEKRWCHW/IzR0UT1tAksVXD+kMmYpqcurPDRQBf/XAfo7GC6rkbyD8ms6Pi6w/ByBNGhhgNUPKwi7oDJ4sd9XyaPQ3T0w9s1Lp+E6sSokXpCeLLb1bIX5WyNoY6flOmwqXL1++dOnSpUuX7tmglwwAACAASURBVNy5k5+fT0ubr1+//vPPP0E9FE+dPn26ZJkLVRAIBDExMZcuXZIsOvHPP/+Eh4fT6BgEUi17Egkfc8RJV2GAVfHqMSGo1O7qU9+eeBohAbbohlj5qoVqahdfPSTKz65vN2oB1KsGBwZYzRD9sUs1HNrL2m98IXMqkdmOavrSEQ1NXb/pxdcOA/JfldzRBbv5mXzyra7z6TUIY8eODQoKCg8P379/v729/e3bt5VsrGLx1OXLl3fo0AGoUDy1pgQHB1OTu8glLy+voqJCytimTZtx48ZNnz49KipKbOzWrduSJUtwmTIAEEg9USwAf73D18vRsO+QuKgk9KTe8LkAUcfA5I2e2JVPREKhHNXC9Ix1Bo4rCtovqXKNBKhXDQ4MsJohrDbOskYRAdbEgO0dCYYav3OtTv0AAPy4B2KLLgvs7obOfYILmmavhvXr1x85ciQ0NHTx4sWSr+3z8vLu3bsXExNDjVvJy8srKCjIzMyMjY1NT08HAFRUVDx+/PjmzZuShUsTEhK+fPni7e0tdRSSJF+9eqXkoTM1NbWwsPDDhw8hISHZ2dU/Pb9//16qYOr8+fPDwsKkNktOTk5LS5OcugYA4ODgYGpqStXZgEDUwI7X+PDWqJ2OwuCJHxPBMLbQsHdXjz/6GmB9B2zZC/n3bE6vYQS/jB//UD3O1AioVw0LDLBaCoGphLkWOdBMvXENguiN+LHk5klS8G8XhlFtUHtdZPebphlh/Y+ioiJx1YigoKBOnTqdO3du1apVPj4+QqEwPj4+MTExIiJi+/btISEhAIDevXsfPHjw2rVrPXv2PHr0KLXj1atXBw0aJFU8VSQS/fjjjxs3bhTPEyPLokWLJk+ePHPmzLNnz7q4uMTFxSlxde/evWPHjkXllfqWQtFExoMGDbp69Wq1u0MgdSevEhxNJta2V/ZzZTt1Npio1jric9uhuRXgutwxOiiqP2peyY3jpKBSnS7VCKhXDQKcB6tZQVSUy+3yWYmD3+OJc94NEE+zbNqxWrcrf3SdO2Cs2Li7G9o1WDTJHrHQrscMP+/ZLVHBN1k7wmRxB44TD7FUcTOK8ePHa2pqlpaWMhgM6k1/QUHBggULnj9/bm9vDwAYNmzY6dOnZ86cKVU89cWLFxiGAQA+fPjQpUuXOXPmAACio6N/+OEHyfbLy8sDAgLs7e0vX75Mba8IHR2d0NBQAMDq1auPHz/u6ekpuw2O4wsXLnz//v2jR490dHSUtKYcNze3f/75p9a7NzmKi4uzsrJcXGieuxKiCn++wcfaodYcRMlLHlpqDtYIBgp2d8N+fIoPsUJZMjrKauOiYe9WFnaxLkMaoV41P71SFmBlZWWdP39+2rRpUtOFQRonle9elj+8bjTv/2RXHUoiPA2RbsZA0BAj+HT9pxWc3CwZYNlykR+d0NXRxBnvehzPiLDYqJa8EUYYQ/IhTMXNKNavX+/g4FBRUbFr166ffvrpzJkzVM2Hv//+m9qgpKQkNjZ25syZUjs+ePDg6NGjmZmZAoGAqnVqZGRUUFAgWSBCKBR6eXmNHTtWarpkufj6+lIfXFxcrly5AgAICQn5/PkzAMDb25sKDqZMmWJvb3/r1i1xofuOHTtSKfri4uKIiAgNDQ0AwOLFi5UfUV9fn65OsvUHjXo1f/782NhYyaogEPVQLADHkomY4Y3xyX+ABdJOFxx6RyxxlfOkqvvD7JwdP2p1GcAwtqhd+1Cvmp9eKfsdMxiMs2fPrlu3buTIkXPmzOnTp4/s9wdpPJSGXeT2GS5rLxeCHa/xO4MZADTMWzmGsYXpT4ekjL94YM5XRI++kb3rrX4O1QOMrs0oxMVTTU1N27Ztu3fv3srKSg6HQxXYAgB07NhRtvpVcnLy5MmTz5496+7uTpKkmZmZQCAAAOjo6Ej268QwzMnJKSoqqqqqipISJYg3QFGU6kiRn5+fkZEB/le4FADg6uoaExNTVFQkroQaFhZGdf+cNWvWmDFjKNVTktunKCsr09XVre7aNDB06VVgYGCfPn0ka6VB1MaBt4S/NWrDVfjF4UW5mJ6xevq2y7KtCzbglmhaW1S2IgWmo8/tO6os/KL++OW1axzqVfPTK2UBlqmpaXx8fGxs7NGjR4cOHWpubj5jxowZM2aIiymqDp/PLygokKouCaERwedkorRQ072n7KoD74h+5qiHgbKUu/rRZIDtndGlz/Ho4QysCcbtKSkpTCZTS0vL09OzoKCgc+fOVNUFMVpaWpWV3/tkvH37tl27dlRJioiICPEIF3d39+Tkf6exQFH0zJkzc+bMGT58uLiw16tXr2xtbVVJmE+bNk3KsmbNmjt37nh7e4eFhVlYWAAADAy+v1thsVg6Ojoq/peTkpLEVVEbLbTo1bdv327cuHHu3DlqLHq15OfnX7hwISYmhlrU19efNWuWeK1QKBQKhTU6CyUIhUIcx5W/iKlpgzS6V/cG+SJw4B246wOEQgIAgOO4UChkMP69SRH88oI/FhquOoRq1+b9EeVeXdIEjhzgawF2vBb+1v7fBsVr2V7DiPLiGl0BUl1jD6Fe1RTq56fk28QwrNqOYtV3yunYseORI0eysrKWLl168OBBa2vryZMnK++kJsu8efMGDBhQo10gNaIs7AK332gg833zRWBvIr62Q2MczRBgi3KY4HRqU+rtvmrVqoCAgCFDhkyYMGHHjh2ampqWlpabNm3q06fP2rVrN23aNHz4cKpEV//+/Q8cODBnzpyTJ09279799evXy5cv//XXXzdu3Ch+mBs6dOj9+/cl28cw7O+//27btu2gQYPKysoAAL1795YchFxTFixYsHTp0t69e3/8+LHajTdu3BgQEJCVlbVr166AgADxO7LIyEh/f/9a+6BO6qhXq1at2r59u+r3YJFIVFZWVvQ/8vPzCUht+fs92cMEtNNRuAH/yQ2WcxegyVGjU9KsdycOJ5HZPFLOOgAAR69GrdV3gAX1qtaQpLyvuIbfnUqvuquqqkJDQ4OCgnJzc0eNGoUgSNeuXXfs2LFs2TJVdr948WLHjh1fvHihysaQWiDKzRR8fm8w9RfZVYeTiF6tUGe9RpEjqkh4yrJywPRNxJY/umIjw/EAW1S7MXa6kEZcPNXIyOjkyZOmpqaUfcmSJb6+vk+ePKmsrFy2bJmXlxcAYPTo0e3bt09KSjI1NTU3N4+LiwsJCeFwOCtXrgwLC6NG9PTu3VskEiUkJLi7u4uLpyIIsmfPntDQ0MzMTG1tbQ6H07OndGJy7dq14sR+r169pB5GKcQezpkzx8nJKScnx9bWVrx29erVshllb29vZ2fnMWPGUIuGhoYAgLy8vNjY2HPnztXt4qmPuuhVSUnJvHnzCILIzMxcsmTJ3r17lW/fqlWr2bNn+/jIn+5SIBBU++pEdVAUxXGcxgbpda+ODYoIcOC9KKgfpqHxXaxwHEcQRNwgUcmveBZqsnQ3o9aHEIk0NDTq2NHFXgPMcMS3JoLDXljdL6AqY+VqDdSrusBgMDQ0NOr4/SLKo7Dk5ORjx46dPn1aR0dnzpw54nx7SEjI4sWLVYkxCwoKZs6ceeHCBQ8PD1U6jXbt2rVbt25OTk7Uoq6ubkBAgHhtWVmZopGZtYBKubPZtM1rTq97qjdYevUQqsXhDJKevb0KB22vkNf7Ix0MAQAAx3GBQEAlcmmBx+NpaWmpLljlEUGib1/0/ju+ekIk6aIH1rZHAB0XcMKECSNHjhw7dmz1mzYO7t27d+/evT/++EPu2ufPn2dkZEj+BdTPnj17dHV1p0+fXpdGpk+f3qtXr5EjRyr5flEUrePNr+56RSEQCNzc3FTRK19f3xUrVigKsKBeqU7QR+LAO+KR/79PWlJ6VRp2XpSbVZfZGWqqV4oorAKOl4QvfmCYIOVyz7cq9RXL1lVuKVgpxo0bN2LECKhXNEKXXvXp02fUqFF1/IMo+wWkpqa6uroOGTLk9OnTvr6+krF2jx49OnXqpMoBVq1atXXrVtXjdD6fn5KSwuPxqEUTE5MRI0aI18I+DbKQVRX8uEj9pXtltzz2HulggLrqiKg1sn0aaHFPdcFidRvM2/ljRdZHhsm/zyK/eYBet9HpdqQxm6z7BVRbnwa68PHxUXR7BgB07969e/fu6vRHFvHI7TpSbZ8GJpNZlz8jLXpFwWAwTp48WWtPILVgdyLxs4fC2wQpqOI9umG8aKc6XVKEgQZY5IJtiif2y5lqAAAAyh/d0Pj6mdN7mHr9UgctR69ooZpO7h8+fJAdYgAAMDAwCAoKUuUA6enpixcvVj3lbm5uvmzZMkVfoVAopPEBDsMwep8I6XVPxQb5b55oOnfWMpUeGywiwN5k0bm+GJv9fcgrjuMoitLoIXX1avBEyGaLvEcJIi9zpvw7yNaJDaa2xbe+BQd7YnW/gPWacofUBSaTyWaz6f2DSEKLXlGgKNqjRw/6XINUw9McMrcC+Fsr/PPyXt5j2bowTCzV6ZUSlruiDkHC9/ZIJ3kJDp0hU/IPrtHu6oNo0Pa6ANIUUXY3ysnJoaYXk8TT0/PTp0+qH+D+/fthYWG3b9+2tLSsNrqC1AJNT2/9cXI6l1xJJyy1QTeTRtH7Sgyn19CqtATht8+SxrXtscufiA+lTSz5BGlU0KJXkAZhdyKx3A1VOJqYIMojr3H7jlKrT0rhMMESV2z7O6bctUwzG422Hcoi6SzVB2mKKAuwcBynxgVIkpubK54ETHUYDAaMruoJBGMgTJlZWQDYnUisdGt06RyExeZ4jyq9e1bSaKABFrtgv8U1peGEkMYGjXoFUSefy8mHX4mpDgrFSpjzhWFqxbJxUqdX1bLIBX2Si7yRVwEaAKAzZHL5o+sEr1TNXkEaFfJfEWZlZZ05cyYvLy8rK2v79u1i+7dv33g8XqtWrWp6GBRFBw0aVHs3ITXkwVeyuEpZyr0B4XgN/bZ5uvBrOtPMRmxc5oY6BAnf2CE96Ox0C2kR0K5XEHVyKImY4oByFIfBTDMbo9kb1eiRSmgzwNJ2+G9x2JUBcjoOMgzNtNr3Lrt/WXfoDPX7BmkkyA+wSkpKwsPDeTwe9UFs19XVvXz5Mo29pCF1gRRUkYIKlKMnu2pXAr7CDUUb1+vB7yAsDY73yLKwCwZTfhYbtRlgtTu2NZF5E05GC6khUK+aLlU4OJXyn8GDTYgZdqL9t5lvCkk3AzlSy/UZn7NjHrfvSLkSDWkJyP9ZOzs7h4WFZWVlHTp0aPPmzWr2CaIipXf+QVhsnUGTpOzJxWRMPnl5QGNMX1FwvPx50eFSxh+d0F0JSFQu2bVu/cbOnz8fHx9flxYgtBMbG+vt7V1PjUO9arqc/UB0MkLa6jbKZ8HqYGNgiQu69TVxrq+cJBama6jVsW/Z/cu6P8ySXSsG6lUjhC69UvbcYGFhAdWq0UKKhLyX4SbLdsuuOvCOmN0OZddjGeW6grDYnJ7SM+1qYGC1i2hdLBo2uPaPswsXLnz69Cn1mSRJkUhEYxccapILGityqlLDS3VIkhQKhSyWnA55tUMoFKpSDkIVpkyZMnDgwLq3owSoV02RQ++ITZ0UShXJK63KTNFwaLxlmuY7o/YXhe9LUEd5MSJ3wDje81tKdod61bz1Sv6drH///hMmTPDx8ZkyZYrs2rNnz5qbm9f92JC6UPH6CcvSjmFoJmUvFoBzH4g3I5tkyn28Df5nMnj8jexV2wrQXl5e1MTEAACCICorK6utDKo6fD6fzWbTOBMEvTM9kiTJ4/E4HA5dDVZUVDCZTBpfscl2QqcFqFdNlOe5ZLEA+Fgo/LPzI68wNbUac4ClzQALXbCtr4hTfeQlsXT0dXwnKtkd6lXz1iv5rgwZMsTR0VFbW9vPz092rba2dh2PCqk7vOe3OL2Hy9qPvyeGWKEW2k0y5c5EwS/t0U3x+L06JLEgLQ2oV02Uw0nEj04Ku4qSVRVVcQ/0fzqoXqdqzEJn1D5I+LEMteU2SdWF1B/yb2MrVqygPqxcWfu6BJD6Q5SbKcrNYrt0lbITJDj4Tn6HgMZJ/pH1+uOWYrqGYssUB3TLK6IuSSxISwPqVVOkWABufCb+6KrwjRj/ZRjL3gPTM1anV7VAlwXmOaHbXxNHvJqM8ELUQzXJw/v37/P5fABAaWnphg0bVqxYkZ6erg6/IErhvbij1WWgbK2r0AzCiA3q2ElcnTBMrcojr0paqCTW5ni8oVyCNF2gXjUhTqUQftaosaKJ/UmS/zSE3UNOSrIRstQVu/yJ+FyucKrkwjM78NIidboEaQwoC7DS0tImTpxIdWpbvnz5uXPnUlJSBgwYIBKJ1OUeRB4Ezo+5r93NV3bNwXfEQpfGO3hQFq73SF7UXanp+KY6oCml4HkunNgdUgOgXjUt/n5PzG2nUKwqk2MBS4PRup06Xao1BhpgliO6643CqZJRbZ3yB5fV6RKkMaDsZpyamurh4YFhmEAgCAoKOnz48M2bNzkcTkxMjNr8g8hSmfKKYWrNMJLut/uxjIwrIMe0aUoBFqZnpOnWs/zJTUkjEwVrPNDf42ASC1IDoF41IR59I3ESeCnuBlD+JETba6g6Xaojq9yxc2lENl/+YyG3fwDvZRhRXqxmryANi7KbMYIgBEEAAB4/fsxisfr27QsAsLCwyM/PV5N3EHloOHgYzfpV1n44iZjm0KhnZ5ALt99o3pMQUlAlaZzeFk0uAU9zYBILoipQr5oQR5OJue0UToSMF+UK0t9ptu+jVp/qhhEbTHZAdytIYmE6Blod+sDqhC0NZQFW+/btX758eeLEiW3btvn7+2MYBgBIS0uDpScaFgRjyBZpr8LB6VRilmNTSl9RMEytWG2ceS/uSBqZKFjtjm55BZNYEFWBetVUKKgCoV+IKYqLDwoyP3C9RyIs2qZcUg/L3dCTKURRlfy13AEBvOe3YXXCFoWy+3GrVq0OHDiwf/9+FEU3bdoEAHj79m1ZWZm7u7u63IOoyqVPRAdDxKFpTojMHTC2LPIKif+nr8xMRzSpGLzMg0ksiEpAvWoqnE0jhlqjBorDJ0237tyB49ToET1YaSM/tEYPJilIYukZa3p4lT++oWavIA1INQmPSZMmxcfH371718rKCgDg4uKSnZ1N49SrkJpCVPLk2qkZZdTsDF2wrNsyDM0r3zyXNDJR8JM7ujleYb9RCEQKqFdNgpMpxIwmmGtXhdUe6IG3eIWCYRXc/mPKn4SQVRXqdQrSYFQ/nWNpaennz58FAoHY4urqSuN8+RDVEaQnFQcfM1nyp5T9TSH5pRz4WzdhzTKYsBxgTCldmt4W3RwvSigk3eXVUoVAZIF61ciJySdLBKCPWfP8RzvqIt1M0BMpxAJnOWrMMDRjO3bgvbjD6TNC/b5B1E81AdaGDRu2b98uqVYAgLS0NDs7u/r0CiIfXtQ9TdfusvZj74kZjgjWlCUL0zcBAID/liZgY2CpK7pNQS1VCEQKqFeNnxPviVmOiru3lxaJcr405to41bKmPTruPj63HcqQ98CrO3wOWclXu1OQhkFZziMxMfGPP/4IDg4WCASkBFCtGgRSKKh4/USrY18peyUOzn8gprdtwukrJcx3Ru9nEyklsCcWpBqgXjV+KkQg6CMx2UHhs2BZRFBVyit1ukQ7XYyR1hwQ9ElBTyyuPsPYQs0uQRoKZXfl9PT0zp07Dxo0iMb63pBaU5n4gmXdFtMzkrJf/kR0NkZac5py/up/kLiIFP4n/aDNAD86oTsTYE8sSDVAvWr8XEknupogVgoqpZJCAT8mQqv7IDV7RTurPbDtrwn4UAhRFmB16tQpMzOTKj0BaXB40eFanfvL2o8lE7ObS49R0dvnRed2SRkXu2BX04kvistQQCAA6lVT4MR7YobiXHvFq8cs67YMA1N1ulQf+FoiKAJuZyiTLKknSUizRFkfLG1t7V69eg0YMGDWrFlcLldsHzx4MIfDqX/fIP9ClBcLPr0znLpGyp5SQqaUkE26e7skTKcuZbdPi/KzJeepN9AAM9qiuxOJ3d1gTyyIQqBeNXLSy8g3RcrEivf8NqfvSHW6VE8gAPzkjm5/jQ+xkn+HFWZ/Kvxnu+lPhwDSHN48QBShLMDKzc19/PgxAGDLli2S9q5du0LBUjO8mPua7j1l5xc9lkxMa4sym0l8BQBTQ7ubb/nD63qj5kuaV7hjrpeFazwwE+kLAIF8B+pVIycwlRxvh2ooeEoS5WWJ8rPYzl3U61R9EWCLroshnueS3U3khFBM8zaIBrvibZSmazf1+wZRG8oCLDs7uw8fPqjNFYgSKmIf6A6bLWUUEuCfNOKxf/VzbTQhOL2H5WybqzNoEqqtIza20gRjbNG9b/EtnWASCyIfqFeNGRKAf9KIoH4K/7+857e1uvggWDNRMwwBK9zQnQnE1QHyT5nbd1TZvfMwwGreqJT6yMvLS0lJqW9XIErQGzVfw85NyhjyhXDUbaqztysC0zHQdOtR/jRUyv6TO3okiSiG/RYg1QH1qhHy8CupiQFPIwViReD8mPvaXX3U61T9MsMRfZFLJBXL74ml6e5FVFVUpb1Rs1cQdVJNgBUTE+Pu7m5iYjJt2jQAQEJCgrOzM0nC7sbqhmXjJPu2/mQK2SxnZ+D2G817ckOqE2gbLjLECj2soAwFBAKgXjViAlOVTSUjzMlg2bRrZvMXsDHwoxO2J1GBZCEIt++osoiL6nUKolaU3Z7Ly8uHDx8+ZcqUp0+fUhZ3d3eBQPD27Vu1+AZRRk4FeJJDjG7TDAMshqkV09KBHxMhZV/THt2bqLAMBaSFA/Wq0cITgeDPxAR7hWLFNLMxnLFBnS6ph4XO6JVPxFcFA1u1OvcXfk0XZn1Ur1MQ9aHs9hwXF2dlZbVy5UoDAwOx0dbW9suXL/XvGKQaTqUQo2xQTjOd8Yfbbwwv6p6U0UkP6WyMBqbCJBZEDlCvGi1XPhFepmirljdCxUADTLBHD7zD5a5FMAan9/CyiCA1ewVRG9XkPzBMuoPet2/fjI2N680fiDQlwccqk6Jl7cpT7k0dDXs3o7mbZO1r26M7EwgRDLEg8qi7XuXk5Ozdu3ft2rUXL14kCPg7o4fTqcRUxbO3N2+WuaLHkolyofy1nJ5+VamvYfnn5oqyO7SHh0dCQsK9e/eQ//X+CQwMzMjIcHFxUYtvEEAKBbyoe0xzWyn70xwSJ0F30+asWaimnKH1XU0QS21wWUEZCkhLhha9Kisra9269Q8//HDz5s2//vqrfjxtWWTxyNeFiqe/IknBp+b8DrcNF+lvgR57L1+yEA1N07XHZeffgTQPlI2J1dXVPXTo0LBhw1q3bp2bm+vq6pqamnrmzBktLS3VD0CSZGpqal5eXtu2bWHqq6aI3scyLe0xXUMpe2AqMaOtwoKpzZufPbA10fhYuxZ6+hBF0KJX9vb29vb2AIAPHz4kJCTUm7MtiNNp5Jg2Cqe/qkpLKLnxt8mK/ep1Sq387IH638UXOKMseUEmyq7B7xPStKhm0pGJEyd279797t27nz9/tra29vX1rWnl1OfPnwcGBpqami5atGj79u0DBw6sg7ctDmHCY06nflLGChG48ol4PbKZTBijHOHXdKaZjaRlsBWyNgbcySAHW8EQC/If6q5XAICwsLCNGzfm5eVR05Yq58uXL7///vvhw4epRR0dnQMHDojX8ng8hL6puoVCIY7jIhFtozzodU9Rg2dSWPu7iMrL5adw+E9DMfde5eXlsqtwHBcIBDguvwNTLeDz+QRB0HjKKl5AOxZw4DJPvxOMs1GWeicIorKyksYX03w+XyQSoShtPUno/cGQJElvYauKigomk8lg0HZnVH6+bDa72mNV74qtre28efNq7Nr/6NGjR48ePQAAnTp1unnzJgywVIfgl4k+vtWUKY9zNZ3oaoJYKiiY2qwg8LwDP5ks38swNJM0r3JHtyfggxWUoYC0ZOqoVwCAgQMHDhw48OjRoxs2bBBHToowMDDw9vZ2d3enFo2MjCQTZjiO1yh/phwqwGKz2XQ1SK97chuMziMFJNnHii1XrYhKXmlKnMGo+ag8N3AcZzAYmpq0vT4jSVJLS4vGEEH1C7i6PVj1EpvurDDvLsz8gJpaoShK7zfCZrNpDLDo/cGQJEl9I3Q1iCAIvQGW8vNV5cLKd2XHjh1KJo+ZO3eunp6eKv5RJCYmXrly5eXLl9u2bat24+Li4tDQ0I8fv49c1dPTGzNmjHgtjuM0PtDg/4PeBulqjR/3EHPwIJkaUm2eSiFmtEVqcaB6Ol96BUvKPa1ug8oir+kMnytpHNUabIgFT77i3U2UtUYQRH2cL43zKtHrHkmStJ8viqL1+v1KUutj0atXFNQDYbWbcTic3r17+/jInyETRVEab28oipIkSW+DNLYmt8GzH/EpDiim4CgV8Y80HD0ZXPnfDnWytJ8vjb9n1d3ztQRroomwbGSQpfyj8x5dY1raY10G0X6+jfYHU0/fb6M6X/kBVnh4OCVYRUVFsbGxbdu2tbCwyMrKSklJ6dSp0+TJk2skWIaGht27d09LS3v8+LGbm/R05FLweLyUlBQej0ct6urqDh8+XLxWKBQKhQrGY9Qc6olQduRRXRqk0T1+3AOko49Ug9l8EJuPBvXGa3EcHMeFQiGNAT51vvS+BJE6X1b3IUW7FrL7jkG0uJL2Re2Q7QnopT7KggmCIGj/wWAYRuMfmF73SJKk/XypZmlsUIl7TCazdn9GGvXq6NGjEREROjo6cXFxe/bsqYUzEDEiAlz6SDz9QaHg8KLu6QyerE6XGpAVbujOBHyQpfyrwe07Ov/YBp2OA9TsFaRekf9l37t3DwAgEAi6desWGho6ZMgQyh4aGrphwwYjI6MaHcPMzMzMzMzGxmbhwoXz589XvrGFhcWyZcsUPREKhUIaM+QYhtGbcqfRPbw4D8/JCaLwgwAAIABJREFU4Lh0kWrwfDIxzo7U57Bq0yaOoyhK7ysGNptNb4Al7R67VZV7D2FsuM7A8ZLmuS5ge6IorULDVV/h0aneDDSeL0EQ9Kbc6f09UxksehukN+VO7/mKoVGv5syZM2zYMB6PZ2lpyWLV5l8GEXM7k3DQRWy58v+hotxMvCSf7eipZq8airG26NoYIiaf7CSvXhDTwpZhYiV8/Rh4+anfN0g9oexW8fjxY319fbFaAQD8/Px0dXXFEyWrQkhISGBg4I0bN1auXDl06NDae9riQPSGz5UtfXomjZjq0Gynv5ILp+8o3uObpOg/mQ8NDCx0QXcmwPkaIN+hRa8AAKampra2tjC6qjv/pJKTFc/ezntxR6vzAEDrO8rGDAMFy1zRHa8VSha3fwD/4VUAKzs1I5T9uDU0ND5//iwQ/FsSTiAQfP78uUbPoJ6eniRJpqen//LLL4sWLaq9py0MTM9Iq3N/KePzXBIBoKtJC+jeLgGzVWumpZ1s5Zz5TuitDOJzOdQjCAA06RWELkqFIDybGGOr8BZTmRSj3aVljXma3Q59+I1ILZEvWSwHD5TFrngbpWavIPWHsuR/586dtbW1fX1958+fb2FhkZmZeejQIR0dnY4dO6p+AHNzc6rwKqTuBKYQU1pY+oqC23dU0aUD2l19JSte67LATEf0jwRifw/aetFBmi606BWELoI+Ev3NUT3FeUCTFfsRRjMt9aUALQaY2w79M5E41FO+ZLF7jyiLCNJ07aZmxyD1RDUZrDt37jg4OCxZsqRnz55Lly51dHS8ffs2TJ43CJU4uPyJmGjfstJXFBoO7TFdQ1F+tpR9mSt29gPxDdaZgEC9amScSSMmKRWrlhZdUSxxxYI+KpQslmt3oryk6sMb9ToFqS+q6b5qZmZ29OhR9bgC+Q5Jltw8rus/Q6p3wo3PhKcRYtUSpr+Sh/GC7bJGU00wzhbd/xbf0gkmsSBQrxoLX8rJt0XkIMuWmG5XjqEGGGeHHniLb5YrWQiiM3iyID1Zw66a4faQJgH8AzQ6BF/eV7yNku37eTq1hb4fVM4qd/RIElEsqH5LCASiHs6kkQG2Csvj4GVFJE7bfPRNjpVu6NFkokzBdCVant7c/mPkr4M0NeANu9HBj4vU6tBHyphbAZ7mkMNbw+9LmjZcZJAVeiQJDieEQBoL5z4QkxSPH8w/sl6YkaZOfxoV38s/J0PJav7AG3YjgyAq4h9pdewrZT77gRhhg3JaYqeF/1CV+pooL5Yyrm2P7knEK1ruIzEE0oiIzScrcdBNwWBn4dd0gl/Kau2oZq8aFT97oLsTCQEMsZo7MMBqXFSlvcb0jBjGFlL2Fjt+UIqqtITSO2eljE56SGdj9FQqlCsIpOH5J42YbK+w6B7vxR3tzgMBrUWmmxweBoiTHjj/QaFk4WVF/LhINXoEqReU3bNzc3MvX75MY+UNSLXwYx9oeXpLGROLyGIB6N2qRUsSBafXUH78Q6K8RMq+tj26M4EQwRCrBQP1qjEgIsDFD8R4O/liReIifmykVhdYEAb85I5tf00QCmbxQ1Cs+PJfeFmRep2C0IyyAEsgECxYsMDa2vqXX3759OmT2nxqsZAiYcWb55oyHbBOphBTHBCFj4QtCZSjp9m+V/kT6Sq8XU0Qaw64+BFGWC0XqFeNgbAssg0XaasrX60q30YxW1kzDM3U7FUjZIAFosUAtzLkR1ioto5Wx77lD6+r2SsIvSgLsCwtLTMyMvbt2xcdHe3g4DBw4MBLly7BB8T6o/JdNNPCFtM1lDSKCHD+AzFRcY/RlgbXe2T5kxBSUCVlX+OBbXml8IkQ0uyBetUYOJOmrHs7Lyqspc3eroRV7uiOBIXl6rl9R/Oe3yYqeep0CUIv1dy2WSzWmDFjwsLCkpOTPT09FyxY0Lp16/Xr13/9+lU9/rUo8KJcjpd0uca7WWQbLuKo4ImwBcIwttCwc+W9uCNl97VEtBkg5AtMYrVcoF41LOUi5FYGMdZO/m0FLy0SfErUbN9LzV41Wka3QbN44GmO/IdCzMCE7dyZ9yREzV5BaETVvEhubm5ubi6Px7O1tX306JGtre358+fr1bMWCKfPcE0PLynjP3D6Kxm4/QPK7l+WnUpntQe6VXEtVUjLAepVg3AjE+1jhhpqyF9b8eqRpntPhAVLQ34HQ8Aqd3Tba8VJrH5jyh8Fk0I4y19TpZo7d3Fx8f79+93c3AYNGsRms58/f/7kyZOHDx/u27fvt99+U4uHLZoSIXI3kwhoAwOs/8CybsswsaiIeyhlH2mDFgvAg6/wNWELBepVw3LxMzZZcXkcLc8+usNmq9Ofxs/0tmhcPogvkC9ZTDMblk073vPbavYKQhfK7tzp6enm5ubHjh2bP39+VlbWoUOH3N3dqVXDhg3T09NTi4ctmqtfUB9LVF/BE2FLRnfIVLwkX8qIIuBnD3RLvMInQkgzBupVw5LNJ18VIkOsFN5TUI4eqslRp0uNHw0MLHFF/0hQmHfnDhxX9uBKS574vkmjrBYhl8u9d++el5f0SysAgImJSVRUVL151eIgBZWCzDQNW1cp+7l0bH1HmL6SA8vGiWXjJGufaIdujCOe5pA9TWGvtZYF1KuG5WwaOcyK0KymvC1EmnlOqO1F4YdStI284JNl1Va72yBSUInA2LQJouzmXVZWdvz4cSnjsGHDMjMz69Ollggv6h7vuXSv7bRSMr0c8bWAgUINYKBgtQe69RVMYrU4oF41LKdTifGtFf7vYA5GEVwm+NEJ3ak4iaXjOwFm/pooygKsysrK9+/fSxlfvXqF4/DuRTP82AdantLTXwWmEqOtcQZMYNWQaQ7o60KF3RogzRWoVw1IbD7JE4FuxvKjhIpXj4uD9qnZpSbEUlfs8iciiwclq7khP59bUFBw//79rKysgoKCS5cuie2UpVWrVupyr0UgKvgmyv/KdvSUNBIkOJ1KXugJ7w3KIPhl5Y+CdQZNkjRqYGCFG7rlFRHUFyb/WgRQrxqc06nEVAeFcyGXPwvl9PBTq0NNCkMNMLUt+mciucWjoV2B0Ir8AOvz588///yzUCjMy8v7+eefxXZ9ff3Dhw9raMBO13TCj3ug1b4XQDFJY0Q2acwGrnrwmUYZiIYm7+U9tksXllVbSfucduj218I3haiDVkO5BlEfUK8aFhEBgj4ST4bKv5vghbnCrI9s125q9qppscodc70sXOqItFYgWWX3LzPN27DbdVSvX5A6If8v4enp+eHDh/T09I0bN548eVLNPrU0KuIe6gcskjIGphLT2sK3g9WAYAyu96iysIuGM9ZL2rUYYJkbtjWBOAFVvQUA9aphuZVBtNVF7HSQsjI5a3kv72l17IswmGr3qynRShOMaYP89R7Z0V3+BgwTy5KbJ9iOni28TnbTQtkt3MbGBqpVfSPM+khWVbBsnCWNpUIQ+oUYZwsDrOrR7j5YkJ4k/PZFyr7AGY38Sr4rgWLUUoB61VCcTiMVToZMkvyYCO0uPur1qEmy2h05kYYWSdcA+46mS1eAIJXJMep1ClIn5GewZs6cOWTIkJ49e65Zs0Z27Y4dO4yNjevZsZYCP/a+Zse+Ug8lFz4QAyxQIzYog4XUqgNhsjh9hpeFXzCY9JOkXZsBFjmjf7xFL8DCss0dqFcNSGEViMgijveSn6CqSnuNaGgxLe3U7FVTxJqDDLEg970lfvWUF60iiE7/gNK759hOndXuGqSWyH/s0NbWZrFYCIJoywOBKUr6qEyK0erYT8oYmEpMheVxVIbjNbQyOVaUny1lX+iMRHxFUkpgP7ZmDtSrBuTCB2KwFarLkr+WF3VPuytMX6nKTy74/rd4sYLSOJrte5FVFZXJsep1ClJ75Gew9u37PqT2wIEDanSmJWK85E+U/Z9uje9LyE9l5CBLeFdQFURDk+M1tCzsgv745ZJ2LhMsaEdujidOe2OK9oU0A6BeNSD/pBG/esr/f5FVFZVvX+qN+FHNLjVdbLlgiBV64C2xroOCJJbvxNI7/8Cu7k0FmCZpYKSiKwDAqRRikj0Kp7+qEZw+wysSX4gKc6Ts89viYVlEcjFMYkEg9JNaQqaXkQPM5T8NIkyW4fS1qLaOmr1q0mzwRPe/w0sVdA7R9PAiqyork6LV6xSklsjPYJmamhKEwollo6OjbWxs6sujlg1BgrNpZKgvzLjUDFSTYzDpJ9mRShwmWOyKbYonzvaFl7TZAvWqoQhMVfo0iGIabTuo1aGmj70OMtACPfCW+KW9giTWoIllYRdhT6wmgfwA6/Tp0ySp8KHf1NS03vxpQZCCSoAxEOw/X8G9LNJMC7gZwPeDNYbt1EmufbELandR+KYQhVe1uQL1qkEgSHAmjbzpAx9daGZde7RPqGiRC8qVN3JA090L0zdRu1OQ2iA/wPL19VWzHy2QwrN/aHl6a3r8pzbtqRQ4/RXNaDPAcjdsyyviQj94J2ie0KhXX7582bJlS1pamqOj46ZNmwwNDelqufkR+ZU00IBPg/TTTg/xsUD3vSXWKkhisawd1e4UpDbID7Cio6PNzMyMjIwSEhJk13p4eNRocuT8/PyPHz+2adMGDpYWQ/DLqt7H649fJmksqgJ3M4lDPeGMfDSzwBl1CBImFKLu8GbQHKFRrwQCwdy5c9u3b3/o0KG1a9cePnyYVk+bFadTCUXTX5FCQd7+VSbL9sBZMWvHr55o9xui+U6oPixD0JSRH2D17Nlz9erVkyZN6tGjh+zalJQUW1tbFQ8QGRm5Y8cOd3f3iIiIdevWDRs2rPbONiP48Q/Zzp1Rtrak8cJHwtcS/qPqBD86QvDlvd6o+ZJGbQZY7Y6tjyWCB8IkVjOERr2yt7enPjg7Oz9//pw2F5sdPBG48YXY1kX+02BFwhNUmwujq1pjr4P4W6N73+K/KRihCQDASwowXZhhbdTID7AEgu8TcYhEojoeoE+fPt7e3gCA6Ojo//u//4MBFgU/OlzHd5KU8VQKsbEjjADqBNu1a3HwMY73CMb/t3efAVEcbwPAZ8s14OgIiIooqICCHQTBhoqiQTEGe4uxRBOjJpYYoya2GDWxRo3lNUaNPXaJxt6DIkpXAZUivV3hyu68Hy7/ywl3gLoc7fl94maXuWeuPDu3Oztj88YEo9PcyfUx6rvZ2LcRJP36hsN8pVFSUvL111/v2LGj0j3j4+OHDRtG0/8mUkdHx/v372u3SqVSDmfhUqlUDMNw1Ub0fuEdTCV9bEgzRiGR6KlQcuucwCdYorvt7TEMo1QqGYazBe9lMhnLshy+I9y+vyzLlpaWam/X+LI10eMv3sfNS634+scXSv5vpcB/MK+N/rGnCCGZTKZWq0mSszEn3LYXYyyTybiqDSEkl8t5PJ72y/j+Km6vUCis9Lk4C8UQbXwXL1709a18ZbjCwsKzZ88mJydrHlpaWg4fPly7lWEYDr9vzP9wW2Glu6lzM5i8LJ6rl+7OiUU4XYZ6O7C6FdSJ9nL4leMgPL7I1D+kOOKARfgXLMtqK6QR+toLfROpjuj/7ulGU1sF46nfrUKuasMYc/7+kiRptPeX2+d6ZzKZ7MMPP1yyZEm7du0q3bl169bTp0/v1auX5iGPxzMzM9NuxRjrPnxPmg6WUCjkqsL3Ce/AC/UMD9LM7I1gNBWqczNKctItO/cscwfP29J0sEQi0ftUoosgCBMTE267CBy+vyzL0jRtYvLvxD2eZmiYC7MtmVrRWf+vbjpoeNG536w69TB0ppAkSaFQyGEHi9v2YowJguCwQoqiuO1gvX97KwklKytr6dKlp06dyszMdHR0DA0NXbp0aaNGb30Lw+nTp2/cuHHy5MlK95RKpUlJSVKpVPPQ3Nx8yJAh2q0qlUql4mz5GE3CoijOThpVMTzZ/Yv89oEqhkXMf/eW/xpPjGyOWDXWvd2c2/YyDKNSqTj8/GnC4/Y3+vu3l9dtoOTH6YKMVMLGUbfC0c3R2hjq4it1T4d37CGpVCqKojhMWNy+vxhjzr8gmmo5rLCC8Hg83nt+Gd8/X8nl8g8//HDGjBnBwcFV2Z8kSTMzMysrq3cNuU56XoxjC/AHzvq/CNI750269HnP3hVACH3TgexwXP25J2Wvr5Mp9PQtvviHLOqaSceexo4MVE1F3wGFQhEcHCwWi9etW9e4ceOMjIwtW7YEBwffvXuXzzewMoI+ERERmzZtOnHiRFX+y8nJafbs2f366V9dQaVScfgDjqIobn8RVik8jAsfXbeZtJins6eSRQdTVTcH00LhG50VbturOSHBbYVCoZDbDhYH4QmF6p5DFVePWY7+EiGkW+GyTuyyx0T/5vS7RcyyLLe/CLl9fzVnsLitkNtfhNy2twxO8tXNmzfz8/M3bdq0adMmDw+PDRs2VFO0ddr/PWXHuJJ8fd8DzKhl9y/Zfb7W6EHVQ01NibFu5MpHzIZu+n94WAz+uOCPn0Xe3aE7WztV9K5ERkYWFxffvXtXew/O0KFDPTw8Hjx40K1btyo+QVRU1OjRoxcuXLh//357e3sYg6VMjSf4Qp7TG6ufnnrBeloRruY1f32kfhAHDnm9YpIqMxVZOeiWj2hBrnvCnkhlw5rDXBj1DSf5qm/fvn379q22GOsDFqPfnuJTBqa/kkffpB2daTsnI0dVXy1qT7U5ovqiLeki1nN0ELRsR1vby+79Zeo30PixgUpVdJiRy+XNmzfXvcNZIBA4OzuXlpZW/QlsbW1/+eWXZs2aWVlZicXid4+0vqAdmllP+LpM4c5E9uPWcMjnDCEQifuEl5zbW6acJNCKztTCf1i1wXm/QV3FSb4ClforHduLkLeBGU+kdy6Y+YUYOaR6zFaIPvUgv48ymLDMQyYU/3UAqwwsEA1qVEUH9YCAgPz8/IiICG3JhQsXCgsL/f39q/4ETZs2Hf4/vXv3fvdI6wtSZMazb6Zb8kqKI3PwUAMDGsC7MfUPUb9+yRbmlCkPbkI0NUV7kqCHVd9wkq9ApfYksRMNT4Zs6ttf2K6q5wtBVXzpRZ17xcYZWFCV36wV39ldcr3y8c3A+PRfIuzXr59mZCtFUcHBwa1bt27SpElaWlpiYmKnTp1yc3MbN25s3Djrs12J7ChXUgTX0DlF0Dy7+dsUaj33rK3sQg27xIyB17y+gHxlNHkK9Fcau727wcmQTTr1MmY8DYE5D833phb+Y3AaP4tBE4rP7zNyVKAq9B9hgoKCtLcO6c6SoKG9jxS8PwajPUmwnle1IGge0tfB6mpH+NkTP8UYWE4V1DWQr4xmbxL7gTNp+Rb3OAEOzPAgt8Spr2TiXo56rszSdk7W4xYYPypQKf0drHnz5hk5joZAnZ9V8MdPdp+u1i08/wo7miBYwsXIVnUhfU6qP25N6r3/GdQtkK+MZlciu707/Bo0Nj6JvutELrjP3A19xzugQY2o0i94hUJRoEM71Sx4K7L7F3kOzmUKtycwU9vAeZRqpM7NUCTHlilsISbGu5FLH3I2JyeoPSBfVZMbrzGLkL+D/kN8/m+r2KI8I4fUcIxsSbIYHUuBD3NdUsmh/fLly+3atTMxMbHWkZKSYpzg6hWMZfcvmvq8Mb/XKym+k4XDW0AHqxqxcmn+3pVYWfZWsm86UCdS2ZgCzmbRBDUO8lW12pnITmlD6u1eqdKeKVLjSXHDmnDVmAiEfuhKLfyHVRruYpVcPqpKf27EoEAlKhrlW1hYOHz48GXLlr148YIgiNDQ0B9//LFRo0bNmjWr4L+AXqWJD0lT8zLTX+1IYEe7kiYw1Lo68Zu6CVq2Lbly3Lz/KN1ySz5a6E3Nu8+c6w9vQH0A+apaFSrR6ZfsWh/9w9slN06Z+Q9C3M3BC8rr3ZjwsCI2xbJz2+l/nUkzi4IjmxvNWg/LbNcSFX0foqOjXV1dZ86caWdnJxaL/f39jxw5cuXKlVevXhktvnpDei/CxLe/bomaRXuS8BS4Plj9zEMmSq7/yRQXlCmf4UG+lKBzr+AkVn0A+apa/faUHdCEtNM3Dz8rk8if3C5zeh5Uh/U+5JrHTK6Bmd1MuwQhhpFH3zRuUMCgSiYatbCwQAjZ2NhkZWUhhHg8nqura3x8vJGiqy9YabEi4WGZFaNOvmBbipGnFfzUqHa0jYOpb//is3vKlpPoJ19q1h1GAWOx6j7IV9VqRwJr6Neg9O4FoacvaWZp5JAaoJbmxMiWhgePEoRF6CdFp3djNWcLkoL3UVEHq02bNvHx8SzLdunS5fjx4zdv3jx//vz169dbtGhhtPjqB+n9i6J23UjRG+tyb0tgp7rD6SsjMe83qjThgfJlUpnyvk5EKwu0JQ6GjtZ5kK+qz7VMjDHqoW+OAISx9NZZs4DBRg+qgfq2A3UkhY01MHhU4NqO59Si5MpRI0cF9KroAN+8efNp06ZlZ2d7eXl98skn/fr1Gzp06Jdffunu7m60+OoH2b0I027BuiUJhTgmH3/oAh0sIyEEIvMB44r+3I5w2cS03pdaHc1ky2skLsAZyFfVZ2s8+6mH/mRVGnefNDXnN2tt5JAaLGsB+rYD9fkdg2fdLYZMkVw9wZRbxAIYXyUH+EWLFjk4OCCEli1bVlJSIpFIli1bZpTA6hVx35F8F0/dki1x7Cdt9C9HD6qJqU8/VqmQPy47QKG1BTHejZz/D1wmrPMgX1WH13J0KZ0d66Y/W5Vc+9OsR6iRQ2rgprmT+Qp01MCUDbS1vVnAB0Undxo5KlBe5Ud4iUTy999///7771evXlUoFEaIqf4ps3xEiQodeG5wQAOoLgRhPXYebdek/JZvO1KX0vG1TBjtXudBvuLcjgQ2vAVpbmB1HFOffqL2gcaNqKGjCLTZj5p7j5Wq9e8g7vOR8kUCkw23d9SwSm5QP3Xq1OTJk6VSqb29/evXr8Vi8c6dOwcPhsvt7+X/kti+TmQTUxjebmxlltnWEvPQWh9y5m0maihNQ7+3zoJ8xTk1i3YmsGf6G5y9HRYfrBH+9kSAA7HqEbO8s563huDxG325pRTDIaaGVXQwyc7OHjVq1JIlS4qKipKTk4uKihYvXjxq1Kjc3FyjxVf/YIR+MTygAdSU8BakvQhGu9dhkK+qw6mXbHMxrOVVG63pSu5IYBMK9Z93J03MYDasGlfRYf7BgwcdO3acMWMGTdMIIR6PN3PmzPbt2z948MBY4dVxGOdu/wYr3hg+fSkd80gUaGC5CWAc6uy08oVb/KkVj5g0KVworJMgX1WHn2PYzz3h12Bt1NiEWNyBmnqTgYRVa1X0zWnSpElBQQHWuesKY1xQUODk5FT9gdUHpYkPmZJCQvDGesI/xTBftIWEVcPyD/4ke3i1TGFrC2KmJzXtJox2r5MgX3EuKg+/lKAhznryFVYpszfMRSx8WWrSDA9SwaLfnxk8744ZtfTWWWOGBHTpP9JrFklt0qSJr6/v2LFj//nnn/T09Pv3748dO9bf39/Dw8PIUdZR0ltnzfxDdEsSi3BULh7ZEjpYNcxy6NSiP3ewspIy5Qu8yZQS9OcLuFBYl0C+qiYbYtgZHqTeUYmyyL9JEzNEGhybBYyAJNAWP2r+fSbfwO0cBEGUXD8pf3LHuHGBf+kf5G5ra6u7BP3+/ft1t86bN69ly5bl/gm8QZ2fpUiOsR47T7dw3RN2ugclhKRU0/jNWok6BBad3Gk1cvYb5STa3p0adYXp5Uha8GsqOvB2IF9Vhyw5Ov2S/clX392DLFty+ajViC+MHhQoq5MtEd6CnH2X2dtD33GFpKw++ix/3w8CNy9SaGr06Bo6/R2sp0+fVvA/TZs2rZ5g6hXpjVOmvv0J/n9rd+WUomMpbMJwA7c7A+OyCJmQ9cM0xdNHArf2uuXdHYiQZsSX95hfA6AjXDdAvqoOv8QzI1qSVgI9m+TRN0kTsaBlO6MHBfRY0ZnyOq4+/ZId3EzPyUZBy3aitr5FJ3dahc8yfmwNnP4OFiwu8Z6wslR6/6L93M26hVvj2OEu+ldLBcZH8IWWYdMKDm+y/2orwX/jMLLWh/I6pr6QhoObwL0IdQDkK86VMmh7PHslRP8BouTyEfPg0UYOCRhiQqNt/tTkG0xPR1Ks7/e7xQeTs36YXpr4UNi6o9Gja9AqGQwkk8m+//77rl27NmnSxMfHZ8WKFTKZzDiR1WnS+5cErt6UdSNtiVyNtsUzs2B4e20i9PTlN2tddG5vmXJTGm3rTk27yRTDkql1CuQrrvz2lO1sR7Sx1PMDozTxIVYphR4+xo8KGBLkRAQ5EQsMLEdB8IWWH35aeGQTVsLUu0ZV0USjGOOBAwe+evVq8uTJTk5OaWlpu3btunz58qVLlwiYYKNCkhunrD76TLdkTxLbtRHpri9hgRpkGTYta810kw6BfOc2uuV9nYi+TsRX95jt3eFCYd0A+YorLEZrn7C7DVwiL/n7sLjPcJhjqbZZ50N5H1cPbqb/vLvQvQvfxbPo9C7LYZ8aP7YGq6IOVlxcXEJCQmxsrI2NjaZk6tSp7u7uiYmJbdq0qeAfgXm/kboDFBiM1sewv+kdhAhqFGlqbjNpMWlqXn7TT75Uxz/VZ17iQc3gWFIHQL7iyvFU1lqAuuubq0+V9pzJzRR17Gn0oEAlLPhoVyA14RrzOIzWO3LOMmxa1o+fmgV8QDfSs1wYqA4VXbF6+fKlp6enNlshhGxsbDw9PV+8eFH9gdVtZZaPOPicbWqK/OzhOF0b8Z3b0LaNy5eb8dCeQOqTG+osefmNoNaBfMWVdU/Yhd76Dw20XWObqd8TVCVrrIEa0acx8YEzMfuu/guFpMjMft4vtB1MC2c8FXWwWrduHRkZqXuHzrNnzx48eAA/B98KRuiHaHZhezh9Vff42xMTWpFTYerRugDyFSeuZuJCJdJ7PxpCiBCIDC3oCWqDNV2p29n4aIr+mfxIoSlc2zWmin6ItGjRIiwsrEOHDkNO0vIbAAAgAElEQVSHDnVyckpPT//zzz/Dw8OdnZ2NFl89cOYly6dQPyf4WNd2ypRY2t6ZNDHTLVzWiep2Sr0tnp3mDjco1GqQrzixPIqZ70WSkK7qJlMa7e9JDfpL3dWOsIWMVdMqeQf27Nmzb98+mqajoqJ4PN6+fft27txpnMjqIrYgK2fL/DKF30exizvAJ70OKE14UHBgLcJvLO3FJ9Gh3tS3D5hHebDkV20H+eo93c3Gz4rRaFc9+YotlcI9aHVCFztiTltq9FWmgkUKi/7coc7NMGJQDVRFB/5r164NHz586NChe/bsiYiI2L1795AhQ97tadLT0yUSybv9bx2ivHVa0PyNdTlOv2RVLArVt5gXqG3E/UYxxQWS6yfLlLuaE5v8qI8uMxI1/K6vvTjJVyUlJYMHD/b09Dxz5kx1BFnLLXvILGpP8vSlq/z/WymPvWv0iMC7+MqLFFJodYzB4w5l65i/dzVm1MaMqgGq6MBPEERycvJ7PkFBQUHnzp0DAgLqfcJiivKUj2+Z9QjVlmCElj1kl3SE0+11A0HR1uMXFl/8Q/kqqcym8Bakvz0x+x/oKNdenOQrkUi0Y8eO0NDQhvCDsIz7OTi+EI1vpedDrngarc7NFHn5Gz8q8A5IAv3Wg97zjLpk4CyVWffBlKVt8endxo2rwanogOHn50eS5Llz597nCaysrCIjI0eMGPE+ldQJJX8f5nfoSZpZaktOv2BZDKev6hLaxsFq+Mz8vavYUmmZTVv9qNhCYlsCXCispTjJVzRNOzo6Vn1/tVqdmZmZ/D+ZmZnv8+w16/soZr43yS+frjAuOrPHfOA4uHmwDnE0QXv8mQnXmTSp/pRlNXK2/PEt+eNbRg6sQanoC5OZmUmSZEhIiLu7u5PTf/d27t27t3FjPbe1c6KoqOjs2bPaX6J2dna65/kZhmEYzm7pYv6Hg6qK82WRl0WfrtXWxmK05AH7bQeCfY/6a217dSvkcBZHbsNjWfYdKuS37SZ4/iTvtzXWkxbr3nHDJ9BeP2W/y4L21sjHjpsIuW0vxpjz95ckSaO9v+/5XDWSr5KTk+fPny8SiTQPGzdufOHCBe1Wbk+DqVQqhmFUKs6WF9AN734eGZ3L29NVXlJS7nlj7zLKUsa1Y0n5bYYrfH8MwyiVSrWas8tYMpmM23zFbXtZllUoFBx+fzuYyKe0NBv2F3u+t1LvZV/hiLn5e1eYmlpTVZsZi9v2YoxlMhnGnP1klcvlPB6Ppjn7GVBxe4VCIY9XycrCFYViYmISFhYWFhZWvryK8b0DiUSSmJiobZi5ufmAAQO0W5VKpULB2UBLTcLi5Psm+/sIv0NPFV+kDe9QKkkTZD971fvEy217NQmLJDk7o6ZQKCiK4jBhcdteTcKiqLeeIEPQb4xy99LCC7+Len+kW+7EK93Shfrwb/pmsNpBxEFe4La9GGOFQlHpd77qFAqFppPKVYUVt5fP579PcqyRfNWqVau5c+f269fP0A5isZir59LkK6GQy9VMteF9f129rDNpa8kvuwfLvr5yxCpsmtBcz2S8FVT4/jT5Stt5fX8kSZqYmHA7rT+H7WVZlsfjcfhxpShqcRfhw0t4SSy9yU9fGhR78YdMKT60rtGcjaSwSs/LYXsxxiRJmpmZVb5r1dA0zW0HC713eysKxcbGZv78svfEVTcnJ6c5c+YYSlgMw3D4+eMqYTElBYUPr9gv2C4j/v16KFm0/Il6VyBlalIuYb1VzZy2l2EYmqY5TFgYY24TFrftZVlWk1Lf4X8FE7/J3bZI1H8UwXvjHQyzFjwpwePv8C4NoAXvPbUZt+3FGGveEa4qJAiC24TFbXvL4CpfpaSkFBQUZGdnZ2RkVN+pr1rlQhp+LUNj9d08KL1znjK3hkWC6ygCof29KL9T6u0J7NQ2et5fky59FM+fFPzxk82ERcYPr96rPHXGxcWdO3cuMzPT0dFRc/r9bZ9j9+7dUVFROTk5IpEoNDS08n+oa6S3zpp07k2ZW6P/nUL/JY51t0Q9HWF0e11Fia3sv9qqd9PSTtTTK8yUm8xeWPuo9nn/fPXTTz+xLBsbG1taWjpv3rzqCLJWwQgtimRWdSHpcsdfVi4pjvjdduqKmogLcEPMQ6f6Uf6n1a0siF76DkmWw2eWv3UacKKSq0Vr1qzx9vY+fPhwcnLy4cOHvby81q5d+7bPYWVlNWnSpH79+nF4drFWMQv4wGLwx9qHEhVaHc0s7wxH3/qJQGhXAJVYhFdH658uGdQUTvLVxo0bt2/fvn379obQu0II/fGcpQk0pLmeY4EqM9W020CeUwvjRwU45CImfutBj76iTi7RM7CBoGhxr2HGj6ohqOgMVkpKyrJly65cudK9e3dNyY0bNwYMGDB8+PC3mhx56NCh7xVjrVdmqeDlj5j+Tcj2NnD6qp5gSgpIE7HuLVQiGh0PonxPMi3N0XAXuEu0VuAqXzUocjVa8A+7vyelN1sJWrQVtGhr7JhANQhyIhZ3oAZeYG59QNvoWwoaVIeKjg2xsbF+fn7abIUQCggI8PX1jYuLq/7A6qrnxXhXIruyCxx06w/J1RP5v61G7BvnqxqbEOeCqc9uMxfTYeKGWgHy1TtY85jt1ojo7gC/Buu/6e7k0ObEwAtqqeH7MqX3ItRZr4wYVD1XUT+gbdu2ycnJMplMWyKTyVJSUjw8PCr4rwZF8exxmZJZd5h5XlRjE0hY9Yf5wHGsXFJ4rOyQrLZWxOE+9Jir6ihYRacWgHz1tjJkaHMc80NX+DXYUKzsQrWyIMZcMbiKDkHzcrd/wxTnGzeuequir5adnV337t179OixY8eOs2fP7tixIzAwMDAw8OnTp5cuXbp+/brRoqydSuMjCw5v1C25mEklFaNZbSFh1SsERdtM+lbxIl5++XCZTYEOxFY/avBfzNMi6GPVMMhXb2vJY97UNqSzWdlfg2ypNGfzV2VO2YJ6gEBoVyAlU+PJN/R3sUw69Tb1G5j7y9esrJI5z0BVVDQGKyMj4/Tp0wihBQsWaAuTk5NPnjyJELKzs0tMTKzu+GotzKgL/9xhGfqJtqSUQfOi6I1+lJ6pkEEdRwpNbKcuz9owVyIyNe8zXHfTMBeySIWCzjNXQygXMZy5rDGQr97K5Qx8J5fc1UvPvThFp3fzHJwRdxPmgdqDT6ITfekBF9QzbzOb/fSMvRMHhbOlspwtC+xm/kCKOJukqmGqqIPl5uaWnw+nCvWT3jhFWzcSevpoS757yLS3wgObwiG2fqLEVuaTv5PsXEzy+GaBb8w2MqkViTHqdZa5An2smgP5qupKGTT9FrOuk9qULjtRnzIltjTmrv3CHTUSGDACExqd7k/3Paeed4/50UdPD9ti0ERcKsvbucx26vcEn8uJbRsa+I3yLpiivOJLhyzDpmtLovPxriR2dQfOVrEAtRBpbm0zbZXk6nHp3Ygymz5uTc5tR/Y9z6TquxEagFpl5SPG25ro71h2jn6sLM3fv87ywxmk0LRGAgPGYc5D54Ppy5l47j391woth31K2zXO3fYNVsiNHVw9Ah2sd1F4YpuZfwht9+96ZyxG028yq7pQ9kI4uNZzlHUj2xk/YEZPT/ozT/LLdmT3M0xMAXwMQO0VX4i3xbMbuum7OHhyJ7+Fp6idn/GjAkZmLUB/D6RvZeGZt/X1sQjCKvwLnmPzgkMbjB9bvQEdrLdWGndflZ4sDhqhLVn3hBXRaGIreDEbBNrGwcx/kN5N09zJFZ3J/ueZR3BfIaiVVCwad5VZ3plyLLdkUWnCA3n8fcuwaTURF6gBlnz01wD6cT6eeI1Rlb+lgSAsP5xh+eHMGoisvoA+wdvBSkXB4U1W4V9ol6iLysNrnzC7A/XP1AcamvFu5CY/sv8FNcyPBWqh76MYGyH6pNyydKykqOCPn6xHzoGLgw2KOQ9dGkBL1WhghLqk/Hl5giBNYJz7u4MO1luiKKuPPhO4ttM8kqnR6CvMz75U+VudQUMgvXM+b+dSrCzVLQxrTh7rQ4+7qt77FG50B7XI3Wz8awL7fz3o8tlKlf1K3DNM4Na+BsICNUpAoYO9qOZmRNA59WvDA65UGSlMRooR46oPoIP1dgiKFnp01T786j7T2ZYY2RJexgbK1KcfaWaZs2keU5SnW97dgbgSQn8fxS74x+CcfgAYU4kKjbvGbPWnHER6tgpatDXrGWb0oECtQJPo1wDqA2fS56TBaZNZuUT62wr5oxtGjq1Og57BuzuUzEak4c3+sKhzA0ZSViO+ELUPyF7/uSI5RndLG0viXigdmYMH/6UuVNZUfAAghBBGaNJ1prcjMVTfos4AIIQWtSd/8iWDL6gPJ+s59S5o2c50wuKi07uLTu9GGH41Vgl82aoEM2rZg8u6JY/z8We3mWNBlDmvpoICtYW4z3CrkXPy96yQ3DilW24jQBeC6VYWRJc/1Q9zISWBGrP+CftSgsvfOcgUZJc5+QoasrDmZEQwvfAfdtYdRlmul0U5ODea/bPyRXzuzqUw1XtVQAerSorP7dU9NVqgQGGXmA3dKG9rGHoFEEJI2KaT3RfrZfcv5u1Zzsok2nKaRD/7Uqu6kAMi1FviWOhkAeO7lonXPmaO9KEEb/avsKwkZ8sCVdqzGooL1EbtbYgHQ+kXEhR4Rp1SblY/0szCdvoqXqMmWWtnKFNiayTCOgQ6WJWTPbgif3TTasRszUMli8Ivq0OdYegVeANt42j3xU+0VaPis/9XZtOHLuTtwfRvT9lBEeoMGfSygPEkFeERl9X7etLN3rwRBysVsgNrRO0DdJejAAAhZMlHJ/pSI1uQPifVe5LKnsgiKNoi9BOrD2fm7VkuuXmmRiKsK6CLUAnlq6dFf+6wmbyENDVH/xvKYEoTa7rC0CtQFkHRFkOmWA7XM3NMS3Pi5mC6ix3R8YT6j+dwdyEwhiw5GhjBrOhCBTm92bti1Hm7vyOtHSxCJtRQaKBWIxCa1Za8HEJvjGXDLjHl7y4UenRtNHczbetYE9HVGdDBqog6Pytv51KrkXN4js01JXPvMi8l+EAvCqa9AlWhzs3Q/s0j0dKO1Jn+9IpH7KAIPaffAeCQRIUGRajHupKTysyBzLL5v68heALRkGmIgEQGDGprRdwLpT2tkPdx1Y6EsiMcKAsbYZtONRNZHQEdLIOYorzcrQvFfUcKPbpoSpY9ZC9l4FP9aFFFa2QD8C+sUuZuW5S3d6XuOOLOtsTDoXSAA9n1pHpdPF1adjk4ADggVaNBf6k72hJLOr6R5LFalbd3FS6VW0/4GpFwGh5Ugk+i7ztRfw+k9z5lgy/zDd6sg3HermWKp9HGja62gw6WfmypNPeXhabdgs26/7soysJ/mGOp7MUBtGXZ5ecB0I/g8e3nb+c1apK1Znrx+X3aZVN5JJrvTf4TSj/MJ92Pqv94DoPfAZdKVGjABXUrC+KXMpPIYJy3cylCyObjbwkKfiaCqmprRdwYRI9qzgz6S/3xdSZTVm4PgjD17V9wcH3e7u/VOek1EGKtBB0s/bBKadZrmLjPRwghFqNZd5iL6fhKCG2vb44+AAwheHzzAePsv9yszst8vXKy5PpJrPp3UqzmYmK/v3JvD2p9DOtzUn3uFfSyAAdyS1H/82pPK2J7d4oscwGQIEy7BduMX0jQMLsMeDskgca3YBKH8xqJULtjqvn3mdw3FrBAQk9f+4W/8p1bZ2+YU3hsK0z/gaCDZQgltjL16Y8QkqjQ0EtMTAH+eyBtI6jpsEDdRFk1sh4zz3bKd4qnj16vmCS9F6HdFOhA3Aulv/Ii599nfE6qT79k4XQWeGdJRbjbKXXvxsRWf/3DREXeAYiEtA/ekZiHVnWhosNoqRq1OaJa+A+TLv0vYRE8vrjPRw4LfyUoOuuHaYXHf2ng3Sz4pr1Be3ZBI7UEB5xR24vQhWDaAq4MgvfDc2pp8/ES28nLsOKNn34EQsNdyOgw+isv8ruHbOsj6p9iWJj8HbytiDTc44x6UXtyeec3eleK509g6m3AISdTYrMf9XAoLVMj7+PqUVeYe9n/fcBIU3OLIVPsF+4gSCp3x+IajLPGQQfrfzAu+ftI1g/TtAV/PGd9TqkntSJ3dKd48DoBjvCatDQLDNU+VOekK54+QhiTBPrQhfxnCL2vJxWZg1scUk2/xcQWwHERVE7NogX/MJ/cYA73oSfo3DPIFBfk/rq08MS2Mj8dAXh/zcyIDd2o5BE8Hzti9FXG95T64HNWe9cOJbayGDLF/qut//0DxphR10ioNQXGOSKEEFNSUHhoAyMptJv5A0IotxTNucvcz8EXgukONnAbM6hGrKSo8M9fcanMpFNPUadePPtmvo0I30bUazm1I4Htd55pbILCW5IfuRBlJooEQONxPv7kBmMnRA+H0rbC/5ViLIv8u+j0LlOfYPGkb2BIO6gm5jw0qy35mSd55iW7OY6deZsZ3Iwc2ZLs05ig3zwxoXj6KG/vKpGXv0mHHgJXr4YwRUiD/9ZhLL1zvujsXlPf/tYDvsEkvTOR/SaSGe1KPhhKmzb4lwdUN76Lh/1XW1Rpz2QPruRuXUiamgs9fUSePg7Obb7tQC5qT17LxIeS2c5/Mm4WRHgLcogz9LTAv0pUaHkUs/cpu7ILpTvZlfJFQuGJbQgjm0+W8Zu2qsEIQQNBEugDZ/IDZzJThg4ns0sfMuOu4eEuZFhzsrsDwScRQkjQqoP9V1tkUdeLzuxmCnJE3t2Re1fk3qkeDwps0D0I5fOYkvN7SYKw+3QV3djlWAq77KHaUoAiBtCwyCAwJl4TV4smrhYfTFamxslj7xcc3shKix2+3UtRdO/GRO/G1BY/6lIGPpTMLo9ibIREUGOirxPRqzEphrvBGiS5Gm2JZ9c+ZgY0JR+H8Rr97+5mVdrzonN7VRkpFgPHmXQJaggnCUCt4miCZrUlZ7UlU0rwH8l4USQTV4ADHYl+TmT/JkQrSztxr2HiXsPUeZmyh9ekZ3bL9v8gcOtgFf45aSKu6di513A7WEUnf5U9vm3SezjddcBvyXjTcTWfQmu6UgOaQkoCNYQg+C6efBdPi0ETsVKhvayDGbXk1K4AR+c+rTyo7k2jC9DFdLwpjh19lfG2JnwaEV3tiK52RHOzmo0eGEOmDO1MZLfFs93sicshtIflG/lK8Sxa1NYXprkCNc5FTCz0JhZ6kwUK9HcGG5GG1z5hMUZ+9pqU5dChZ7i42yARq1Q+jyF4/92iX5rwgDKz5DVuXg8mwjXGl1ChUDx79qxFixYiUS2aRcokaGRk+7FHX5KH/1B3dyBXd6WCm0DXCtQWBP+/jEOQFM+xueL545KLh1hpkZOjyyeNm89o3IJ1a/6Q3+JugeBwMv7yHqtgcEdrXns7xsOS8LAi3C0JuMb9DmQyWWJiopubm5lZLeqxStXo9At0KJm8nqUKb0FGDKDaWhFYpSxNeEKamvObuml2M+sZVrNxAlCGlQB96EJ+6IIQQk+L8L0cfC8bH3zOxhbg1ub8jnYid8vubbMId0usGfygePqoNO4fdX4Wr3ELflNXnn0z2r4Zz9FZsxxw3VLtCTgnJyc0NDQwMPDatWuHDh1q1qxZdT9jGZhRq149UzyLlsfeE7bumO03+uZrfCUTn38laGaKPmiKo8PoJqbQtQK1GEGY+vY39e2PEGJlElVGiiojWZn2THXvL++mbj3+t7Z0Rr4k8eaNlDzHqEzLbUrbaImgkYhwNUfNzYjmYqK5GWouJpqaIlshYQIdLwOysrKGDBkSFBR08eLFQ4cOOTs712AwDEbRefj6a3w5A1/LZLs1QqFN8W/+WJCdpIiKz02KUqTE8Z1aiPuPrsEgAag6NwvCzYIY44oQQnI1vpsufyanYwtxRBobW4AkKuxqQbiIJ7j0nOAqLHWXPnMsem6S+oyOvMxkveA5ONt9vu7fijBWvkgkza0oc+vaPGtutSfaXbt2jRs3btq0aYcPH966devq1aur+xkRxorkGHXWK3laijw9BWc+LxE7Jlq3u2o96liOJ3WWCXQkAhyI5Z1pB76aYVihEHpXoM4gTcwEru0Eru3Kb2pEltIF0W1LLg8sLmAKcxBBsuZ2coFFMU/8uHH3s7Y9UkvYNCmSyuSd5AkCgdDEVCQSCUVmZhZmQlszvp0Q2QoJMxqZ8ZCYh4QU4jGEBdWwhhHs2rVr4sSJU6ZM8fb23rJly5o1a4z21HkKlCXHz4pwfCGKK8RxBTihCDubET0ciTGuxF5fJXNiozo6tTg/i+fgzHdubeoXYj3ha1JoarQIAeCQkEJdbNheZv+NcC9QoOclOKUEp5SgRyXCP0s802SeOQjnmiErG+TEV5mfUdsJCQcT1JguHXh9r7g4XSAtwLSAFVuTZhbI1IJnbmXu0sa0ax9tnarXLwgen+AJCR6PFBn7nHS1J88nT558/vnnCKH27dv/9ttvle5fVFR09uzZ5ORkzUM7O7shQ4Zo/mYY5sbZCD5WI4QYuZRgGZ5ShtRKWinLF9mdaje1WIkkaqyWSaY9PpRGWSUJnbMsfeX+LZ1tzdwt0GBLYp4FcjTRVIYRwioVo8FVY7mtjfMKGaZa2ktwN5CW2/BYlq2O9mLu5mzk+ANjZikYMl17YYstlTGFuVhazEqL2tk4jHdCCBEIIdXr3MKTJ5RFMiZbjpVKorSEUpUihBS0MKL5kMNNw6VqVKImnIuTp6TuYjChIPgMzaMIopQW0TRFIBRv3yXKritCiE+ipsocvxfnEEI0iRiBKUYEQkhAIZJAGY3aZtq2seQhhJCwtLDpy7ssSQ0d0pcsu4DLv0iS5PCz9G5iY2M1+crLy2vPnj2V7l9YWKibrywtLYcPH675m2HYK39dpzCWMwghRGIGK+QMRhihLL7tXYeecgaVqLBMrhz2dK9paYEllltiuR2Wt8Syj1RSnlpOt/SyG/M9QgghjBla1s6P7zfYxNntv8F5CL3P5wfyFScVclVbQ8tXGOMyFZrTqIMV6mClLdC8UwRGKEeOchX83FIiuxRny1GuQvBrt+9zS1GBAlOlEoG8gJYVi0vzzIsKX6SRF2JUpjxkwSfscfGq2LXmqhIhq+CzSpFaqiT5aopfyjN9aut12HuWZv5wkbI4LHI9yxMihFiSx/IENIEQQkpa0HvCxySlfyhYVfJVtXewVCoVRVEIIR6Pp1AoKt1fIpEkJiZKJBLNQ7FYPGDAAM3fOXkFT6KinZs1QwhhgQiTtFJsT/L4SGCisGzcyUptzsOmNGHOEzby/zpAiMz+O3H43yR7uiGcOXMmMzPzk08+4aCdCCGEvvnmmylTpri6unJSW2lp6eTJk3///XdOakMIXbt2LTo6WnP84MTy5cuHDRvWrp2esynvgGXZMWPGHD58mJPaEEL379//+++/Fy5cyFWF69atCwwM9PX15arCsWPHHjhwgDLwBX5bsbGxBw8eXL58+b+PCQpZ2SMrewIhBiFG+9G3sjef8E2Z/8WMGikVE2neJJ7q3xK1/dENRHNnZy9PD3mpWsFilVxeqmJZhFysLXraMwghJYtUxYSDzAQhrGIJolRCIIwQUjIEi5GlqlhCMrlyjBCykEpE2c+SX7zMD+wkFuv/Hcnn82m6hs+XqdVqzdtB07RSWfnknFKpNCkpSSqVah6am5trfxBm5+S9une1iZOTKYkRQpggMd+EIhBBIFMzsbkjY0IjMxpZ8UhHK2exyI0nEhECESkwQUIRKTRFAhFB0SqVSvtcEc+zMzOjp0xxRayqfCTvYPHixVOnTuUwX02aNOnAgQOc1IYQunr1anR09KxZs7iqcMWKFcOGDfPy8uKkNpZlx44de+TIEU5qQwjdv3//0qVLX3/9NVcVrl+/vkePHhzmq3Hjxh08eJCrfBUTE3Pw4MEVK1ZUZWcrGlnRyE3/6VoRQiKEGm/atMnd3T0oqJuCYeQMUajEpYyJPHCtEqECNVJqfueolZJSJamQsHzTwQKmSIkQQgQ2eeU1hJCXIIRIRoVUpUoWIYSiHkV3KpGYmZrofVYej1fpS1Ht6ax58+apqamdO3dOTk52cXGpdH8nJ6c5c+b069dPz7acnC0H9758+ZKr2F69epWammpiov/lewfR0dEFBQVcVVhaWnr16lUOw0tLS0tMTOSwwpiYmICAAK4qVKlUf/31F4fhZWVlxcfHc1hhfHx8q1atOKzw0qVLPB5PKBRWvmsV5OTkxMbGchje9dQcuV3zHp16WFW0lyPqOKoKlTVHfb+ws7MbMX8hhxFyrnnz5ikpKZp81aJFi0r3d3Jymj17tt58hVn1D38cqlK+ahJSldhevnyZmprK1acFIfTo0aO8vLy2bdtyUptMJrt69SqH4b169SohIYHDCp88edK9e3euKlSpVBERERyGl5mZGRcXx2GFcXFxbm5uHFZ48eJFiqK4qjA7OzsmJobD8BISEsRisVAoFCJkgZCD/r00Nw/ZlC326lx+1y9nf7xo/rT3ibDaO1jjxo2bPn26hYXFmjVrvvvuu+p+OgAAeGfjx4+fMmWKqanpunXrVq1aVdPhAADqsGqfQbVt27ZbtmyJi4tbuXJlt27dqvvpAADgnXl4eOzYsSMlJWX9+vVdu3at6XAAAHWYMUY8eHl5Vf2yN8uyEomkoKCg/KaioiKWZfVuejdyuVyhUHBYoVqtLikp4arCwsJCjDGH4clkMm7bq1KpDL1Z71Ybt+2VSCRKpZLDCpVKpVQq5bBCjHFhYaFAIKh81yqQSCQqlar2t9fQQCsTExOuXor34eHh4eHhUcWdIV9pQb56T5Cv3lMtzFcEh7cYcMLb2zs1NVXv2DGMsVQq5XD2P6VSiTHmMKfLZDKBQMDVGECMsUQiEYs5W0BApVIxDMPhNW+ZTMbtwOSSkhIO26tWq1UqFYfT28rlch6PV2vbyzCMQqHgcIRTaWkpRVE8HjTTm3sAABGhSURBVGfTzEgkElNTU0O33kyfPr2KI15rD8hXWpCv3hPkq/dUC/NVretgAQAAAADUdfV2FWsAAAAAgJoCHSwAAAAAAI5BBwsAAAAAgGPQwQIAAAAA4Bh0sAAAAAAAOAYdLAAAAAAAjtXw0qp6YYx/+eWX+/fvh4WFffDBB7qbEhISfv75Z3Nz80WLFllYWDx8+HD79u2aTatWrbK2ttZbYXp6+urVqwmCWLBgQePGjbXlaWlpx44dS0xMXL9+vWa2leLi4hUrVhQWFs6aNauCyQbv3bu3Y8eOZs2aLViwQHdamkePHp07d06lUi1ZskRT8vnnn2uWuA4NDR04cKCh9m7YsOHRo0cjRowIDg7WlmdnZ2/ZsiUpKalNmzZz587VTKizb9++S5cu9e3bd8yYMYbCKykpWbFiRX5+/hdffKHbipiYmN27d2dlZQUEBEydOpUgiAMHDly7dg0hZG9vX8FCRjdu3NizZ4+rq+tXX32lO8vIvn37IiIiaJqeOHFijx49EEJxcXEbNmywsrJatGhRBTOm/P777xcvXgwKCho7dqxu+bJlyxISEqytrWfPnu3q6pqcnPzDDz9oNi1YsMDQWpYFBQUrVqyQSqVz5sxxc3Mrs/XJkydbt2795ZdfEEIKhWL16tUvX76cMmWKj4+PofA0rbC0tFy0aJG5uXmZrSdPnkxKSvrqq68QQosXL87OzkYI9ejRY9Qog0vy7d69+9q1ayEhIR999JFu+dy5czXrmg8cODA0NBQhdOrUqePHj3fp0uXTTz81NP+KUqlcvXp1amrqlClTdFdyzc7OXrx4sebvmTNntmvX7uzZs6dOnUIICQSCjRs3GgovOjp68+bNjRo1+vrrr01N31hP9fz580eOHBEIBMuXL7exsXn58uWaNWtoml64cKG9vb2hCk+fPn3s2LHOnTvPmDFDtxUY4x07dly/ft3FxWX58uV5eXnapW2nTZvWoUMHQxXWZpCvNCBfQb7SW1uDzle49tm1a9fMmTNzcnKCgoIePHigLVepVN7e3gkJCX/++eeHH36IMT569Oinn34aGRkZGRmpUCgMVejv73/37t3bt28HBATolkdFRe3du7dly5ZFRUWakvDw8KNHjyYmJnp7e2um9SsvPz/fy8vr1atXW7ZsmT17tu6ms2fP7t+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0.65; label=\"Beta(k, n-k+1)\", ls=:dash)\n", "plot!(xguide=\"p\", yguide=\"probability density\")\n", "plot!(xtick=0:0.05:1)\n", "title!(\"n=$n, k=$k, a=$a, b=$b\")\n", "\n", "P2 = plot(Beta(k+a, n-k+b), 0.05, 0.65; label=\"Beta(k+a, n-k+b)\")\n", "plot!(Beta(k+1, n-k), 0.05, 0.65; label=\"Beta(k, n-k+1)\", ls=:dash)\n", "plot!(xguide=\"p\", yguide=\"probability density\")\n", "plot!(xtick=0:0.05:1)\n", "title!(\"n=$n, k=$k, a=$a, b=$b\")\n", "\n", "plot(P1, P2; size=(800, 250), leftmargin=4Plots.mm, bottommargin=4Plots.mm)" ] }, { "cell_type": "code", "execution_count": 51, "id": "15932ac9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (30, 9, 0.05) = (30, 9, 0.05)\n", "(a, b) = (1 // 3, 1 // 3) = (1//3, 1//3)\n" ] }, { "data": { "image/png": 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"plot!(xtick=0:0.05:1, ytick=0:0.05:1)\n", "title!(\"P-value functions for n=$n, k=$k, a=$a, b=$b\")" ] }, { "cell_type": "code", "execution_count": 52, "id": "6d690707", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k) = (100, 30) = (100, 30)\n", "(a, b) = (1 // 3, 1 // 3) = (1//3, 1//3)\n" ] }, { "data": { "image/png": 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"title!(\"n=$n, k=$k, a=$a, b=$b\")\n", "\n", "P2 = plot(Beta(k+a, n-k+b), 0.15, 0.5; label=\"Beta(k+a, n-k+b)\")\n", "plot!(Beta(k+1, n-k), 0.15, 0.5; label=\"Beta(k, n-k+1)\", ls=:dash)\n", "plot!(xguide=\"p\", yguide=\"probability density\")\n", "plot!(xtick=0:0.05:1)\n", "title!(\"n=$n, k=$k, a=$a, b=$b\")\n", "\n", "plot(P1, P2; size=(800, 250), leftmargin=4Plots.mm, bottommargin=4Plots.mm)" ] }, { "cell_type": "code", "execution_count": 53, "id": "c9ab25da", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (100, 30, 0.05) = (100, 30, 0.05)\n", "(a, b) = (1 // 3, 1 // 3) = (1//3, 1//3)\n" ] }, { "data": { "image/png": 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", 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n=$n, k=$k, a=$a, b=$b\")" ] }, { "cell_type": "code", "execution_count": 54, "id": "bdf16297", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k) = (300, 90) = (300, 90)\n", "(a, b) = (1 // 3, 1 // 3) = (1//3, 1//3)\n" ] }, { "data": { "image/png": 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gGIagkYch7wXW/fv38/PzB9vKYrGkGYx4weBlBQYvKwod/FAoRL6CYQiCYQiCYQgaeRjyXmBBEARBEAQpHDjZMwRB0D+4XG5vby8xlQeGYe3t7cR6TU1NYkpgCIKgoZB4C9aFCxeWLl164MABYrG+vn7qfyUkJEj66hAEQUO3du1ad3f3FStWEIsVFRWurq6RkZGRkZEZGRmyjQ2CIMUi8RYsKyuriIiIq1evEotMJpPBYBBTuEMKhNfRwi7PwzrbUIYez9QewFt5SBn9/PPPGRkZ3333HX+Nt7c3P31ByiSrBc9vx3V7ewNGddH0DBASfJ4DiZnE/6SCgoJevnwpuKaoqGj//v3jx4+X3FRTkJjheMOpPZWo7hveKFpn07ie/CxN+2S396dOtJ9lgYg+XLp+++23xsZGITv09vbSaDSpxSNeihv87NmzLS0tZR2FCCQSqc+apKSkyZMnjx49+ttvv9XT0xN+eFdXV0JCQk9PD7Gop6cXEhLC34phGIZh4g14GGAYVd34R8+w0i7kh/LvLeuT3pC1DJAebb8ZWtOXIRSqlIM5d+5cY2OjnPxfwzD4Zs2aZWlpKeRPdCizKEq7ZtfW1t61a5ehoeG///3vgoKCzZs3C9//zZs3c+bM4S9aWFhkZ2fzF7u6uiQVqOQpUPC3q9DPTH4IMsTet+X56GNUjE15ETvx+d5bpSHfjVl+3JtnRZejGS1Xr169devWPvOe9sH/CFREihh8SkpKbW3t9u3bheyjpqYmb52cTE1NCwsLNTQ0jh07tmvXrpMnTwrfv6mp6dmzZwUFBcQinU738fHhb2Uymf0LOOlT8TDKu5EZj6mrRvNuBHHx8mCW9jv5vforEjp+Kz1tdnyb5odfIjQxT9gs3Jo1a4h8xWQypXndwcAwAAApKSl1dXU7duwQ8ieqpqZGJouooKRdYOnq6i5ZsgQAYGlpuWrVKpEFlouLy7Fjx2bPnj3YDn3mPFcs8hw8zmFzqkso1g47U3nXSvGb00g+hv+ULMikmfTgGe9f+XEUo3zKI7sLk8lTzeSoKeubb75R7knaFc53333X2Nioqakpz3/z/VGpVCqVCgCYNWvWjRs3RO5vbW0dGRk5WL7CcVxTU1PMIb49VQ6jiwPeieZ+7o5ucKIAAIDLxM7OzjlaGqP11UPu7ngEfiVfPqL/8UEpPy6E+UreEPmKTqeP8E9U2r/UpqYmLpcLAHj8+LGdnZ2Urw4NEc7jNp/7V09q7McJvGe1eHI4WbC6IqB0hv7Krz4IdrgWSn4vjnuvUo4asSBoeFJSUmJjYysrK6OiolgsVmpq6r179xITE3fs2DFjxgxZRweN1JZk3gR9ZINT3w8+Rx3k92DKLPIqHlmt6+lNmcQGKR+J1+mHDx+OjY0FAEydOvWvv/7Kysrat28fhUIxNTX9/vvvJX11aHjarv+CoKR/26xJr8YfzyRrCn1uE2CM3JlGnh3N/XsK2c9IjtqxIOhtNTQ0IAgSHh5eUlLC5XJHjRoVExPT09OzbNmyuXPnyjo6aETi6/AHlXiGeXTb35U68yP7bJ1mhsy0RA8af/6jR69MwoOUj8QLrO3btwt2vAgJCRHs9QnJoe7E++zSnMT53/+RgSaHi6iuCF6a3X9bZEc88noxl2SlCWssSFHNnj1b8AGfpqbmrl27ZBgPJC44AJ8k8o6O6+699IfBhsMD7nNwPGlsFG2lG91dysFBSgo+94X+B7e+sv3e+e6I3WtSqFGhJAO1IR2Fczk2Mf8+YFz0zmMeV/bvJ0EQBP2P66UYCQHBRdfU3fwoxlYD7qNNBV96kHal8qQcG6SsYIEFCcCwlktHGDM++DDHZNc4kpf+UNuiSFq6OgvXzUj+Xp/M3p8B0xMEQXIEB2BfOnbQubs78QFj+jIhe652QF+3gJdNeG9BBsBhv1JoRGCBBf2jK+EOQlP7TXs6AsAm57f721AfF0g1szvZe+VUHvaqBSYmCILkRUw1TkKAd/EddfcAkvYoIXtSUfC5O/pNJtZ+9zwrJ1lqEUJKCRZY0D+6E+/z5m46kImdDCChb9+TSnt+JEiL/sm2enU8j6eMJdbLly9jY2NjY2Pj4uJqamrEcs7u7u4NGzYQw9lFRkZWVlaK5bTDc+XKlT/++OOtDjlw4MCLFy/6rKysrPziiy/EFxcEjci/3/C2OPK6X9zTnDxf5M4r7NH4OqzHZ37nE8WecQTmq/6knK9ggQX9w2j7ye0lxivHoo46w+moTtLSZYQtD00/oUEGv+YrYVesTz/9dMeOHadPnz5y5IiTk9MPP/wgZOcTJ04sXbpU5DmPHDliaGhIjIJz9+5d/tTC/XV2dvb2Svb9pjdv3mRlZQ22lcPh9A8vPj6+oqKiz0oLC4uEhAQ42SgkD4o78PQmPLzrOcXEhmIkei4BDTL40B49gfhym2o5tWUSj09iYL6Seb6CBRb0j1cteHQVtmvc8IdX1vSbiXW1nxj18qs0XjtbjKHJi9WrV1+9evXu3bsXLlzgT2EOAGCz2WlpaampqWw2GwDQ29vb1NTU1dVVUlJC3OThOJ6bm/vo0aPi4mLBo06ePMmfWlhQbW1tnwl/1q9ff/Nm3xF6WCxWcnJyfHx8S0uL8Mh7enpqamrYbHZ8fPzr169FfqdE8LhAN5SEhARilOD+ysrKnj592tHRwV+zatWqH3/8UeRVIEjSzhVgy0ajnIw4uv+gA1b3sdYRPV+CqnmHdSfel2hskgbz1YA7Sy1fwQIL+se2ZN5eL5LWSGYrQVHtOSv14v+YbYkezFTm3u4sFovBYBBfZ2dnu7m5ffXVV3v37vX09Kyurq6pqbl582ZWVtaOHTuOHDkCAFi1atXGjRvPnz8fFha2adMm4sCnT5+amJiYm5v3Ofm5c+eCg4Pb2tpEhuHg4HDo0KGff/7Z2dn57t27QvaMiYmZPn361KlTf/zxx5kzZ+7cuVPIziUlJd7e3jExMcJnHCJcuHDh3XffPXr06NixY9PT04mVM2fOvHfvniLO6gMpEwwHF4rwlWNR3aWb1d38hniUrRbiqos8M53Sk/YE5yjDnSLMV3zSzFdw/nAIcOoquA1VKQa+ZV1gpf1Ia241pwmoJmOfPup2nbvZhWQi1Xm9/kdzL/g1Hxvhm0BaFLBOYNznn3766dq1az09PSUlJZcvXyZWrl69eteuXe+//z4AYP/+/f/6179Onjy5atWqp0+fXrlyhdjnxIkTxKQrPT099vb2GzduHDNmTGpqqqurq+DlcBzfu3fvgwcP4uPjDQwMRIZXUFBAnDYuLm7Tpk1CJpUCABQXF9++fdvGxqakpMTR0XH//v0Dzv2XkpLyzjvvHD16dNasWSIDAACw2eyEhAQURX/66adPP/306dOnAAA9PT0DA4OsrCzByfggSMpiqnETDeCkgwAgYqLuPlaORU8W6vtb2jOznmt4BUsoPEEwX/WhBPkKFlgQaL99Rt3Fd28l70sPlCyONk2q5VhTAD60R7/O5B33k9m0sjwMtPaO9E1rDPzPLdH8+fMXLFjQ09MTFRW1ZcuWxMREDoeTlJQ0bdq0w4cPAwBqampSUlL6n6eysvKnn34qLi5ms9k9PT35+fljxoxpamrS1dUV3G3Dhg06OjpPnjxRV1cn1oSGhpaVlQEAGhoaoqOjiXEvP/roI6JX5uPHjy9dulRXV8fhcPhzDA/G2dnZxsYGAGBra0uhUOrr6wEAMTExAAA9Pb3w8HAAwLNnz65fv379+nVPT0/iqBMnThA3tSwWq7W1lZjhSktLKzMzk9hhwYIFRJ+MiIiIbdu28Xg8YoZUPT29hoaGIf+kIUj8Lhdj79oNJ6mFW6HrnvO4HtN7Uu5Lp8CC+aoPJchXsMBSdZzqEk5Vce7ML6qrwfAy0WB2uJMcojg73FFzumzGdjdUB99MEHN5Z2lp6eXlBQAICAjQ19d/9OjR+PHjAQBjxowh7sxsbW2J/3xBPB4vJCTk888//+STT/T09MLCwojun1paWn3e7jEzM8vJyens7OQnrAsXLnA4HADAli1bQkJCiHs+orU/MTExMjLy/PnzY8aM6erqcnR0xHFcSCM5/5wAABKJxOPxuru7MzIyAACmpqZE2Do6OjU1NZWVlfyEtWzZspkzZxKXO3ny5O+//w4AEJyblvjGiS94PB6XyyUSVldXF/+pBARJH4sH7lRgB71QgPEA+napQIMM5liiN9QmLGj6FWAYkPxkzDBf9aEE+QoWWKquI/aKZsiib7JJ291QklgLId3e5o/sdb5/jf3oI7NGLMlpbm7u7u6m0+mGhoaWlpYMBmPOnDmCO2hoaLBYLOLr+vr6pqamdevWIQjS0tKSm5tLrHdxcXny5IngUbt27Xrw4MGkSZNiY2PNzMwAAKampsQmOp2ur69vZfXPINRpaWkBAQHBwcEAgL/++ou/vqWlhc1mGxsbi/wunJycjh49KrjGzc3t6NGj06dP7+joeO+99wAADAaDyDslJSVqamqCARASEhJWrlwJAIiPj3dwcKDRaAAAJpNZVVXl5OQkMgYIkpAHVdi4UQj9yfkubX3NoL5lhEjLRqNfpZPXfXleAqFJG8xXfNLMV7DAUmnclvregsza6ZtfPQZ/TxHzLVrrlR+3eE53yfPZ6U4yVBe9v0K4dOlSenp6d3d3XFzcrFmzAgMDAQAnT55cuXJlfHy8hYVFXl6epqbm4cOHfX19P/300/Xr19vY2GzZssXKyur9998fP358VFTUqFH/P9RhaGhoZGRkZ2enlpYW/xJbt27V0tIKCgqKiYmxtbUVEkxgYODu3bsPHDjA4/Gio6P567/77ru8vLy///57eN+jg4NDXFzctGnTuFzuRx99JHL/5OTkjRs3mpub//jjj7/88guxMiEhwdPT09DQcHgxQNDI3SjFF1ohPdee6kf+axiHh5oi78XhFV24pcLOrwrzVX/SzFewwFJp3c9u0b2n7S6gbXJGaOJuZqL7z+58+OdiH7/jObz9XsrQiLV///6mpiYAAIVC2bFjh4uLC7E+LCwsKSnpwYMHTU1NQUFB06ZNAwDY29tnZGRkZmZSqVQURePj4//8808Wi3X+/Pnq6mqiZwDRkyAqKop48/nUqVMWFhYAgMjISCcnp/r6esGEtX79ev7dIcHd3T0uLi46OtrIyOju3buxsbFEe3tubu6CBQv6BD9hwoR9+/bxF3///ff+nVKXLl3K4/EAADY2No8fP05JSWGz2fwWdWdn5/7v8uzevdva2jopKamsrOzOnTsTJkzgn3/9+vVv+xOGIHHhYOBeJXbQtASh0gabfFA4MgrmWqE3yvDNLgpZYMF8Jft8hcu32bNn37lzZ7CtHR0d0gxGvGQePMbqqd4VUVfboPcHu4n1dscOKXgMqz24qigrS/8Cu4szvBiHA0VRHo8nveuNTHl5eUBAgHgDXrNmDZfLFeMJ31Z5eXlgYKDgN/Xtt99u27ZN5n/zkqYQ+UpFwoiuwnxucdr/83vb7V+HHcZ/KrCAOxyM3cvtaBF3gP8P5islzldwHCzV1Z0aS7Mfd6p21GJbdBRNAhdAEM2gcJ2XtwKM0D8KlXBgd7GwtLSMj49HxdqF9tSpU0S3TVmxtLR89uyZeL8pCHort8uxeVYo802SusvwX7wPNUOyW/G6nNctF74VY2yKC+artwIzoOpCKFR6yJJTudjGt5zXeejoE6b0Fr/eZtl4NBtTxskJIQiSU/er8LmMRl57C9XacdgnoaJgujn6gOzMqcjHujtEHwBBAmCBpbro3tPvcW3stYlR+CQCoarRJ051LrinQQax1QpfYj158iQqKioqKurOnTulpaViOWdnZ+fGjRtxHAfinjz1m2++iY+Pf6tDMAzLzc29ceOG4AxfycnJJ06cEFdUECQFOW04mwcsqlPUnSeCIYzuLcQcS+RmDYVmP46Vkyqu8KQD5iuZgwWWSjuZh611lOzfAN1/VndyzPox3OM5Cv+UcM+ePceOHYuNjUuxAVsAACAASURBVL148aKXl9fBgweF7DzEyVMPHz5sYmJCdPYUPnnq20pISCgvLx9sa0dHR/+pLRYvXhwSErJu3bqLFy/yV3p4ePz4449VVVXiCgyCJO1eBT7bEmHlvlRznDDCU80wR5/UYKijNytngAE55RnMVzIHCyzVVdSBv2nB51tL9m+APMqEajV2Ie/V8zqsvEvhG7GWLVt26tSpv/7669KlS9999x1/fXd3d3x8/NOnT5lMJgCgp6enoqKipaUlLS3tzZs3AAAej/fy5cs7d+4ITlzKYrHOnDkz4KvFBQUFxIDIAyLG1mtqarp79y5/lBohqqqq+ux29uxZYihnQefOnautre0zfwWVSo2IiDh58qTIq0CQnHhQhc20QDXGBao5jh/hqXRpwFMfSdGdwMpPB5iCza8K85VswQJLFbGyk3qLsn7Lx94bg1Il/ycw6oOd2i4Tlo1Gf81X+EYsvpaWFj29/5/dLDMz093d/dixY8ePHx83blxFRUV9fX10dHReXt7hw4fPnDkDAFi9evX+/fvv3LnzzjvvrF69mjgwLi7OwsLCxMSkz8mPHj26aNEiIZ0uT58+vWzZsjlz5ly9ejUoKOj8+fNCQo2NjQ0KChI5fT0AQHB4G0FhYWHXr18XeTgEyYMeLkhtxCebIBoTpiA0MQzBN8sCvduiTR5l3FuaM/KzyQTMVzIBx8FSRe3/uaAVHvlHER4zQxrvbiBUNQDAWkc89D/cLz1IFGlV9VhXW2fc32Cg2b2o1g7qrn5vtRvh4MGDZ86c4XA4tbW1N27cIFauXr3666+/XrJkCQDg0KFD+/fvP3v2bJ/JU8+cOUO8KdPb22tvb5+fnz927Ni0tDT+4DQEHMf37t377NmzZ8+e6ejoCPnu6uvrs7KyaDTazZs39+3b9+GHHw642/nz5w8dOvTgwQN7e3shZxPO1dU1Pz+/o6MDTn0Dyb+4Wny8PqI5wLzAwxRmjoTHYF87TWDlpNLsXEUfMCwwXwGly1fCCqzq6urLly9/+OGH+vr6UgsIkjRObRnG7HxCc7HWxBwl1r29P0cdZDQDuVeJzbOSVoWFoKg6feAtZOpb7wYAAGD58uULFizgcrk3b95cu3Ztamoqh8N5+fJlUlISMUlWZWVlTs4At7kFBQU//PBDXl4ek8lsbW0tLCwcO3Zsc3Nzn6y0evVqc3Pz+/fvExM4CDF58mRiHycnJ6LDQVpaWlJSEgDAwcEhNDQUAHD8+HEul5uQkMD/F16zZs2dO3cAAN3d3RiGEbeSfn5+wm/4tLW1EQRpbm6WecISAuYriBBTjU0zF2eScdVDuBhosppAv3dce84KMZ75f8B8pXT5SliBRSaTL1269MUXXyxYsGDNmjWTJk0SMi8jpCh6UmLo40PPFeEf2kv1ATGvvXmVvc6v+dIrsFA6Qyt0sbh2I/AnT/X29j5z5syjR4+8vb0RBPHy8iLSh5eX1/Lly/scxePxQkNDDx48eODAASqVOn36dGLyVAaD0aczprOzc2JiYnNzc59BkPtTU1MjviCRSBiGAQA6OjqIl3r4Qx6PHj06Li6uvLycn7COHDny9ddfAwBOnjzZ3Ny8e/duIDD76WCI7KatrS3qxyNLMF9BhOgq/KJ3d9ezJ8OYf3Aw08yR/2D2q2Z9IK4T9gfzlfLlK2EFlpGRUUZGRlpa2unTp+fMmWNqarpixYoVK1b0H7EeUhgYryftCTXyu0ePsLOB4mtDH4K2qGPhHqGfNfjU9OCmGgr/yVdXV9fZ2amjo2NgYGBra6uhodFntgc6nU50IAUA1NfXt7e3v//++yiKNjY28m8Z3dzcYmNjBY/69NNPJ06cGBgYyJ/Yq7CwkE6ni8xfAIDg4GBiIlW+sLCw1atXz5s376+//vLz8wP/ndaeCK+np2eI/8u5ubnm5ub8PhzyCeYrCABQ2wPqmbh9/UtW0SsxFljTzZHfC7AN0yeK64RSBvOVTIhuS/Dy8jp16lR1dfXmzZt/+eUXS0vL9957Lz09XQrBQWLHyksn6Rn91W4SZoHqiLgNEDN1jyDOy+hFNuj5AgV+l/DMmTOLFy+eN2+eu7v7kiVL/P39AQCnT5/euHHjxo0bv/nmm48++mjLli0AAH9//4SEhA8//PDLL780NjYePXr0kiVLvvnmm7lz5/LnjQ8JCcnNze3zqnNkZOT+/funTp1aWFgIANiwYcPZs2eHHfCkSZMuX768aNGiPplxQJcvX168ePHjx49v3769ePFionEeABAXF9fnVR25BfOVintcg00yQdmFmTR7DzGeNsQUTajHOYr2lg7MV7I1pE7uvb299+7du3r1akNDw8KFCxEE8fb2/vbbbz/99FNJxweJV8/LWPqEKZeKsS/GSXtqAnW3gLbrJ1ZNbX0nTWfnOFQRm7D4k6dqamr+8MMP/JlNQ0JC0tLSHj9+3NDQMH/+fKI/gZ2dXU5OTmZmJoZhxOSpUVFRLBbr6tWrJSUlxOSpOjo6ixYtunLlSmRkJBCYPHXZsmU2NjZ1dXVjxozJzc09cuRIn0giIiI4HA7xtZGR0W+//dY/2p07dxJnCwgIiI2NLSkpwXGc/9Rs3rx5RLO/IFdXVzKZHBERQSwS/UxxHL9w4cKff/454p+flMB8pcoe1+AhpgjreebQn6MNxSgaGM1AkhrwQGOFSV0wX8me8KkKc3Nzt2zZoq+vb2tre+jQoYaGBmL9nTt3bGxsRjgP4lAoxOSpwyP94DFWT/X2BWUNHYYX2eyRTdY5vOBb/vqpI/aqYxTnRT02ossLpViTp1ZXV4eFhQ0WcHNz87/+9S8ph9RHXFzchg0bRngS6Uz2DPPVUCh3GDZXOHnF1TV73hV7GDtSuHtectuj/+Q01gw3ugHAfCVecpWvhLVgFRYWuri4zJw5848//pg+fbrgKBd+fn7jx490ADdIyrhtjRo+03+ppkfY4FIbK0GQxvjQtqtH35+x8PcCzNdQlrN7yg9TU9P79+8PtlVPT++LL76QZjz9TZo0adKkSbKNYShgvoLKu3AmFzdreM0e4y72k08xQ/ek8T5lNTPfJGpNXiD6AGUE89VbEdHJvbi42MrKqv8mPT29q1evSiwqSCIoRpY689ZcucH9xU82xQ3NxgnnspdrFI/Lsv63L0kNlliQ+MB8BcXV4pNMUHbRK9poN7Gf3N8Ied2CY67u3JcxKltgQW9FWDtGfX39mjVr+qz09PQU17SRkPS9bsHb2cBfVt0IEERjfKjmm8fuo5D/VCpaf1FIvsF8BT2txSeZIL3FbyRRYKmRwHh95KWmG7skG+dxxX5+SPkIK7B4PF5nZ2eflQ0NDRSKVF/vh8TocjH2rp0sRwfS8Apmvop/1w79s1iB3yWE5BDMV9DTWjxYuxMggKwvepiAYQg2RWNaNUn6xpyKAkmcH1IyAz8irK6uvnjxYmNjY3V1teAMi3V1dd3d3fyXNiEFwspNpTmMv1KC/z1Vlk/myAZm+h8fXKiLfpbMaWOTpDxUBKSUYL6CAABV3XgXFx9rqg12Dn+YAOFCTZGNidgX9h6swldUGycJXQVSGgMXWO3t7bGxsd3d3cQX/PXa2trXrl0jk+EMhgqG19HacuFw1aY/KSjqrifj14wpRpY6AISaojfKsBXSHU0eUkowX0EAgGd1uL8RigAAKJK6b5tggBS14+xx7uD5dTDtHQldBVIaA6ceJyenmJiY6urqEydOHDhwQMoxQWLHzEpQc/aOKicttpV1KP/1rh1yIldSBdbOnTvhNClyJSUlRXLv8cF8BQEA4uskPkgVBQW+RkiyhqNHeT7O5SBk8Tx9hvlK3ogrXwm7tzMzM4PZSjkwM+M1Jy+4kS3j54OCZlmiaxJ41d24GV3MmeX06dPE8HqD6e3tFTk1qdxS0ODDwsJmzpwp0UvAfKXiEurwlWMl3iI+yQR90qLubTGa19ZE1jcZ+QmJfCUn/9cwDIK48tXABVZoaOi77747bdq0999/v//WS5cuDWWmIUhOYF3tnOqSHH0PMgrcZP18kMDKT2emx82z+uSvEnyLq5hDWrlypfAdOjs7tbS0xHtRqVH04CVxWpivoNZeUNGFO9QktT55qRuxUXIXmmSMbErEvt/wnbhOSOQrOfm/hmH0CWOEZxi4wJo5c+bYsWPpdPqsWbP6b6XT6SO8KiRNzKznao5eUZXkRTayDuW/qBb2LecPLvf7+PMMyhZX2A0LGhGYr6Dn9bi3IcItzCCPEkOrkhATDJDCdrydDbThCzqQKAMXWJ999hnxxdatW6UYDCQRzKzndN+wa/n4tVB5eT6IamhSrR0nNqfU9PgXdeCjGXLRrgYpKJivoBf1mJ8R0vsoW3dxiEQvREHBREMkoR6fZQGzFiSCiMaDx48f9/T0AAA6Ojr27Nnz2WeflZWVSSMuSEwwZhe7LC/PcDwCwLhRcpQRNDyCWJlP51sjUaVwQCxIPGC+UlnP6/Eg3V5uUw3FfLSkrxVkjMbXYTi7Fw43CgknrMAqKipatmwZ0ddsy5Ytf/75Z0FBwZQpU7hc+FelMHoLMmhjPa9XUxfZyFF1BQBQc/PrLXi1xIx1tQQO6Q6JAcxXKouDgfRmfBwzn2pmh5AkPipHoDHyrBbvfPRX19Obkr4WpNCEFViFhYXu7u4kEonNZl+9evXkyZN37tzR1NR8+fKl1OKDRkjNxVdv2Wd/l+HzreWrqxOqRqeNcfOsT2pkgbw22IgFjRTMVyoroxm300LIFdlUW2cpXM7HEHnTimPGdr3Fr6VwOUhxCfvQRRAEwzAAQHx8PJVKDQ4OBgCYmZkJfwcekisIiVzEpLVzwAQD+WrBAgCoe0xiZj5daI1cg08JoRGD+UplvajH/YwQdmkOTSqjq6uRgJseksVwZpdmAww2wEODElZgjRs3LiUl5bfffjt06NDs2bNJJBIAoKioCE49oViul+HzrORxGDt1Z292SfZS056rpTBJQSMF85XKSmrA/Qxwdnk+1dpROlcMMkaetDNIDD1ODZxKHBqUsALL2Nj4+PHjx44dQ1H0X//6FwAgOzu7s7PTzU38E5VDkkD0wfy7DJO354MEhKaus2DtRAOknQ1y4FNCaGRgvlJZz+txP32uuucklM6QzhX9jdH4Ooxq59pb8kY6V4QUkYjP3eXLl2dkZDx8+NDCwgIA4OzsXFNTQ6XCAUAUAcar2/9BdTu7uAMPkvAMEsOmMXEqSUNzoTUSVQILLGikYL5SQRVdOAfDbfXUdBdvktpF/QyRlEacbO0MCyxICNEvXHR0dJSXl7PZbP4aFxcXeRhNHxKut+g1ScfgRjV5liVOkccGrH8sskEjE3hfecp3lJAigPlK1byox/2NpJ06dGnAUhMp0nMyLjkj5UtDCkREgbVnz57Dhw8LZisAQFFRkZ2dnSSjgsSA+SZR3dX3Vjn2saO8Fy4+hkgrG+S14Q46ctrSBikEmK9U0IsG3NdIBnkjwAiJZxlGoGRuUw1ZH87FBA1A2Efvmzdvjhw5cuvWLTabjQuA2UoB4DjzdSJnrG9KIz7NXK4LLF57c8/TG/BdQmiEYL5STUkNuN8oLruyUMrX9TdGntfjjOnvImT4DBoamLCP3rKysgkTJoSFhVEoFKkFBIkFp7oEIZEess0nmaB0iQ+8NyIIldbx4GKEWe/1MvguITR8MF+pIBYP5LTiLk0ZHff/kPKl/Y2QhDqc7juDpKMv5UtDikJYgTV+/Piqqipi6glIsTDfJKq7+N6uwOdayvtDN1Rdk2rj5NGUWs/E89thIxY0TDBfqaC0JtxJF8Erc6mWY6V8aVstBEFAaSdMWdCghDVu0On0wMDAKVOmrFq1SktLi79+xowZmpqaQ7wAj8crKCjQ1dXlj0bT1taWkZHh7OxsaGg47Lgh4VjZKfQ5K6OTsR99FOBuXt09kJWVMN8+4O8yfIe7vFeEkHwSS7569erVq1evXF1dPTw8iDVpaWkxMTF+fn5BQUHiDxoamaQG3McQYafnaYUskv7V/QyR5/W4jRZMWdDAhBVYDQ0N8fHxAICvv/5acL23t/fQE9bUqVM7Ozvnz5+/a9cuAEBdXd28efMiIiJ2797966+/OjpKaVw4lcJrb+Y21yaqOzvoAGN1WUczBOquvu23ziwK4X6eTtrhLtc9xiC5JZZ8dfbs2fr6+qqqKqLAys7O/vTTT7/++uvDhw9zudyQkBCxhw2NRHIDPs8C51QWUq2k3YIFAPA3Qp7X44speSidAfu5Q/0JK7Ds7OyKi4tHeIHHjx+fPXu2oaGBWDx37tyKFSvWrFnj6Oj4888/Hz9+fITnh/pDyBSd+WtvViLy/3yQgNIZFPPRE9vSK7rHl3TitvCOEHp7YslXx44dE8xXFy9eXLduXWBgIIIgp0+fhgWWvEluxA9ZVqIMXVRDS/Te4uZvjPxagLG6M3BWt/bcVdIPAJJzQ+r/3NjY2Nraam9vP/Lr5ebmrlmzBgDg5OT0/fffi9y/qanp6tWrWVlZxKK+vv5HH33E38rhcDgczsijkgkJBk9VJ48Lun0NuzcVcDg8SVxB7MFTXXyYr+LnWI2/Vsz9VMITtsI/G1kRHjyJREJRMbRfijFfVVRUzJ07FwBgbW1dVlYmcv/y8vKDBw+eO3eOWNTS0vrll1/4W5lMJjGBj2wpTRh1TKSLTdKpyeKajxl237uRhGGvBso6yJ02dqS4Pykj6/ynNL8U1QmDSqWSySIqKBGbX758uWLFitevX/v6+r548SIrK2vp0qXZ2dnIcKe2w3GcOBZFUWwI02RyOJyurq7W1lZikc1mCx6FYdhQTiKfJBp8ZgugoKi9lqSuIPbgqc6+3Q8vzffjHHhD/sRRsv1G4Z+NrAgPfuTVldjzFY1GI0bV6u3tVVcX/bhdT0/Px8fH09OTWNTS0lJTU+Nv5XA4gouyojRhZNTjvkYYqC7WsHUe9qlGGMZ4A16Wtptb7UEaiiDU4Y9nqzS/FNUJYyj5SliB1dXVNW/evM2bN/v5+W3duhUA4Obmxmazs7OzXVxchhEuAMDOzq6oqMjf37+wsHD06NEi9zcxMVmxYsXs2bMH3MpmsxV3jGaJBv+wDptnjdNokurhLv7gaUY9dq6hmq0fdBg28yimGhJ8Sgj/bGRFosFLIl+5ubllZGRMmjQpIyNjKHMaamlpBQQEDJavUBQVSxPdCClNGCmNPB9DEiezQCto7rBPNcIwAo3xhBbUy9iKW1NMsx3mn9nIwxAXGIZ4wxBWYKWnp1tYWGzdujUvL4+/0tbWtqKiYugJ67fffnvw4EFXVxeDwdiwYcMHH3zwzjvvUCiU06dPHzlyZCShQwPqTo5Wsx93p1zvO2/ZN7G+lVEr9wAAZlrwbpbh65xgNyzo7YglX23bti0uLo7FYpWWlp45c+aDDz6YO3duSUlJamrqX3/9JZnAoWFKasC/9EAZ05dRTG1lFYO/MXowk7fNxoldkj2SAgtSSiIeEfZ/AFlXV2dgYDD0Czg5OVlaWgIAiClXbWxsrl69Gh8ff+rUqbFjZfDeh5LD8Y5759pNjxR34v6ymD5i5BbYIMeysXVOsr99gRTOyPPVl19+SbzvTNy56urqxsXFlZWVWVpawvFL5QoPBxnN+HgDRN0sUIZh+BgiaU04yd2pN/WRDLrZQ/JNWIHl7u6elZUVHR1tZWVFrPn9998rKyudnd+iE7KPj0+fNZaWlsuWLXvbQKGhYJfno3TtW90mM8zlfYLnwYSZox895TWygIHsH8FDikQs+YrBYPRZQyKR4GQ7cuhNK25BR3RkPUsNgwJGM5BchrN56VGA42C4vf0gpSSswNLW1j5x4kR4eLiVlVVDQ4OLi0thYeHFixc1NDSkFh/0VljZyWrO3ncqsGV2Clle4TwuuaV+qpnxnQpshb1CfguQrMB8pVKIIUZlHQUAAPgbIfHdOsvU6dzmOrK+iazDgeSIiEeEy5Yt8/X1ffjwYXl5uaWl5fTp0+HNnDxjZidpLNgY/wL/Y5JCVie81obGn3csWH7+YjEssKC3BvOV6khuwL0NkY77Fxgz3pNtJP5GSFQpvmn1fpLuWzyMhlSB6HGwbG1tP/74YymEAo0Qr6WB19EaRx7rOQrXVcz3zMj6pghNfQZatLbetp0NtGXd/g8pHJivVERyA77ZrLE76YHMC6wgY+STRB55ioIM6wxJ0cAF1rfffovjg45FFBkZqaOjI7GQoGFivklUd/a+UwVmWypw24+Gmz+e8yLQ2O5eJfauYj7ohKQM5itV08EBFd24TVse28pB1rEAMzqiTkaK2vEx2rDEgv7HwAVWbGwskbBaW1vT0tLs7e3NzMyqq6sLCgrGjx//3nvvwYQlh5hvkuiBc/7zBt/mqsB1iZqbX8sfhxZGfHCjDH8XPt6BhgDmK1WT2oh7jEJ4FflUOSiwAAD+RkhCPSywoL4G/iSOjo6OiYm5d+8ehmH37t3Lz89//Phxfn7+3bt3MQzT19eXcpTQUPCa63L0xjEoQKH/z6nmowGPO1etIrYa6+bKOhpIEcB8pWqSG3BvA4RdkS+TOZ77I2Z97nwU1VuSLetYIDkirKkjPj5eV1d35syZ/DWzZs3S1tZ+/vy55AOD3prxl+du19HmKHpPAARRc/Mn5z6faIA8rFLUOWEg6YP5SnUkN+I++jxOTSnVYoysYwHgvwUWzuWwspNkHQskR4QVWDQarby8nJiKi8Bms8vLy+VhkiBoQLfL8TmK3AGLoO7mx8x6sdAGvV4q2UkJIWUC85XqSG3EJnJLyfomCE30BJFS4KaH1PXgTHMn2IIFCRL2FuGECRPodPr06dPXrVtnZmZWVVV14sQJBoPh5eUltfigoavsxqu6cV/FHMBdEM3GGetsmafdtCNFl8UjqSnYlD+QbMB8pSIqunAAgG5DPkc+OmABAFAEeBsiqTR7j+oSnMNGKPD9ZwgAkS1YDx48GDNmzCeffOLv77958+axY8fev3+fmPQGkh84h42zWXfK8VmWKEnh6ysAEER//WFDQz1XPeRRDWzEgoYE5isVkdyIexugnNoyOemARfA3QuNbaBQjS3ZloaxjgeSFiHGwTExMTp8+LZ1QoGHreHABpWvfYc9bOVbhnw8SKEaWAICF1tiNUmyWBWzCgoYE5itVkNKATzREtANXolQ5evjrb4TsScN22jqzS7Nptm8xOxOkxJTk81jFMV8n8mzcX9Tj08yV6he60Aa5XYFxYU93CIL+K6kR9zFEUDU6QOXo1svbEMlsxlFrp96SHFnHAskLpfo8Vk3cplq8l/kE2HobIgyKrKMRK3M6YquFPK2DTwkhCAIAAA4GMptxL3256wlBJwNHHSSH4cwuzQaDD3sLqRRYYCk81ptENaeJtyvBPCul+m1y6ytbLn670Aa9XgqbsCAIAgCA1y24jZac3kn6GyNPu3TIhmYYs0vWsUByQak+klUT800SzdnnP5XYHCu5u6sbCdIoY1ZOymLD9r/LMB68IYQgCICkBtzbAGm5dIRTXSLrWPoiRsMy3PxvVENL1rFAckFYgdXQ0HDt2jUOhyO1aKC3hTG7OFVF6dru5nTEgq5UBRZCpqiN9TIoSzZSRxLrYYUFiQDzlSpIbsS9DQArJwXV0pV1LH0FGqPP6zEM5irov4QVWGw2e/369ZaWlrt27SotLZVaTNDQsXJfUu3cbtdS5ir++KL9qbsHMDPjF9igN8rgU0JIBJivVEFyA+5HrkVp6iSG3BVYxupAm4rkt8MKC/p/wj6Vzc3NKysrjx49mpqaOmbMmKlTp0ZFRcEbRLnCyk5Rd/G+XY4r/Aw5A1FzmsAuy1tk1HWjDPYahUSA+UrptbFBbQ9u2VZAkacRsAQFGCHP63GM2QX7uUNAZB8sKpUaERERExOTl5fn6em5fv16KyurL7/8sra2VjrxQcJpjA+utA1k8oCH/L1WM3IIVY1mP86qKplOBikNMGFBIsB8pdySG3AvfYRbnkeVmzHc+/A3Rp7X421XjzFfJ8o6Fkj2hvpcqaGhoaGhobu729bW9tmzZ7a2tpcvX5ZoZNBQqDlOuF2vMdcSUcLyCgDw36eEEbZIFHyXEBoymK+UUnIj7m2IsMvyaNaOso5lYP5GSEIdTjGz7S1+LetYINkTUWC1tbUdO3bM1dU1LCxMTU0tMTExISHh6dOnR48e3bt3r1QihES4XY7NUa4BGgSpu/iwS968Y9JztQS2uUMiwHyl3JIbMF89Dqe+gmJmJ+tYBuasi7T04t3mLmw46zMkfKqcsrIyJyen0aNHr1u3bvny5Vpa/7x6Gh4efvbsWcmHB4nQyAI5bfhkE2VtwAIITV1r2rtGGmwGVT25AfcxVNrvFBohmK+UGw5ASiN+2qKIYmItt7MpIwD4GCKJlNETGyrxXiZCU5d1RJAsCSuwtLS0oqOjAwIC+m8yNDRMTk6WWFSQaNyW+p7U2Ls270wzQ6lK24AFAABaIYsAABE2WFQp5mMoR5NjQHIF5ivlVtyBa5CRUQiL4+or61iECTBGE5qQAPPRvaU5ag5esg4HkiVhn8ydnZ2//vprn5Xh4eFVVVWSDAkaEmbGU6yz9XY5Ple5xhcdzBJbBD4lhISA+Uq5vajHfQ0RNcfxWlOWyDoWYQKMkIQ6nGrrzC6FkxKqOmEFFovFys/P77MyMzOTx+NJMiRoSFjZyaij75NabIZyTfA8GAcdRIcKkuC7hNAgYL5SbkkNuK8i9BCYaIDktOGYpXNvyRtZxwLJ2MCPCJubmx8/flxdXd3c3BwVFcVfT6wxNjaWVnjQwLCuNk5deTLd1Usf0aXJOhrJw1jdzKwXEbahUSWYL3xKCP0vmK9UQWID/qG9AtxM0kjAcxSSTndyqCjAeVyEJKwfDqTcBv7dl5eX79ixg8PhNDY27tixg79eV1f35MmTNJoKfKTLN+abZDUHXumGdwAAIABJREFUr9tVpLnKOL7oQJD2GyeXbPGb8oh2xBugKvJNQ0MD85XS6+aCwnbcVb0bYwJUXVPW4YgQZII8bVWbOHUpHG5UxQ1cYHl6ehYXF5eVle3bt+/cuXNSjgkSifn6hbpXyN08bKe7StweoWoatDFuOuVJurRJiQ24vxGssKB/wHyl9FIa8XGjkN7YP3m6BpqT5ss6HBECjdGDmbz9s+S6rxgkBcJaXK2trWG2kkN4L5Nd/Dpb31NfDbHRUpVSQ31cYE9mfIQNCkcchQYE85USS6zHfQwRdmkOxWKMrGMRzc8QSWvCWbDvn8obuP1j5cqVM2fO9Pf337lzZ/+t3377rYGBgYQDgwbFyntJtXG61aAxx1LWoUiRuotvW9TxJXO6Q56o/wCfEkICYL5SekkN+Ie2XE5tGdVcAQosTQpw1EFeNuIBxjBPqbSBCyw6nU6lUhEEodPp/bciSjsvi2LgtbdojA/9uxQ/P0mFunsjNHWa/TjtiqRRtOAX9TBzQf+A+Uq54QAkNWAnzIsoRhYIVTF61AUZI8/q8PFt6RQTa5L2KFmHA8nGwAXW0aNHiS+OHz8uxWCgIdEMCs9vxzsLeBMMVOuTQ8Njcnfyw8U+oVGlWICxChWXkHAwXym34g5cjYQw6nJ5Nk6yjmWogoyRX3KxdV1JnLpyrckLZB0OJBsK8NYr1N+NMny+tcrdmKu5+LArCpYatkWVYjz4dg4EqYbn9bifEcIuy6EqUIFlgiY14GRbVzac9VmFDdyCZWRkhGGDdiVOTU21traWVETQEPxdhh2eqHJNOAiFqu4eoNdWZKbhGVeLh5qqWoUJDQzmK+X2vB73N0LYcbk6Cz6WdSxDpUMFtlpIrp6rWfExgONA5W6HIQAGK7D++OMPfPABPIyMjCQWDyQCu6KgYdSYkg48UCWHKtBd8gkA4B0edrkYCzVVuRITGhDMV8rteR2+waQeoCSSjiK9rDDZBHnUrv2hlg6nppRiZivrcCAZGLjAmj59upTjgIaCXZbbGnXs75nH51ihZBV+urvEFnG/wfvZj0SDJRYE85VSa+0Fld24g6Emd85KWcfydiaZICdysUg7197i17DAUk0DF1ipqakmJib6+vpZWVn9t7q7u8PBkWWCmRmv7up3vQzb6qrSlYUZHXHVQ+5XYfOsVLjMhP4L5isl9qIB9zZEqFoMqlewrGN5O5NM0PfjeGQXt95XzzSDwmUdDiQDAxdY/v7+27dvX758uZ+fX/+tBQUFtrawHpc6HGdmPQfv7X0Vj08xU8Xng3yc+op37cwvFeHzrGQdCiQHYL5SYs/rMAWduUGHCuwYSK6uq3nRz7AblmoauMBis9nEF1wuV4rBQMKwq4oAiXyr12qmBa6m0g1YoPn0Vwve/2pbtVkbm6RDlXU0kKzBfKXEEurxLz0UNd8FmyKPOnVXMHQ59ZUUY1UaGBoCAMBhGhQI81WCunvAjVJsgbWq3wmpjwsgv34SYor+XQanzYEgpcXGQEYzPh5UsvLTZR3LcEw2QZ7UYPprv6YYmsk6FkgGRBRY9fX1H3/8sZmZGYqiZmZm69ata2hokE5kUB/MrOdsx4CURnyGhaqXxRpeIT1pT96zAxeLYIEF/QPmKyWT3oSPYSBoxiN2Wa6sYxmOIGM0qQHnahkAVFEb4aCREPZR3dvbGxYWlp2d/f3338fFxX3//fevX78OCwvjN8hDUsOpLcO57Fsc2zALVGPg57oqhGJqg6rTp3JyXrfgld1wyFEIAJivlNGLetzPCOktfkOzdZF1LMOhTQXOusiLBpijVJSwz+qXL192dHQkJSXx38GZP3++k5NTWlqar6+vVMKD/h8rO1nDLSCqFI90VPXmK4LGhCmc9NiFNk4Xi/Cd7qr+zBQCMF8po/g6fJkVh1NTQrVykHUswxRiijyuwYJNYAuWKhL2ac1kMq2trQXfcKbRaFZWViwWS/KBQf9DY+JUTvDylEY8zBwWWAAAoOEVzMx68YEN90IhfEoIAQDzldLBAXhej/myCygm1ooyx3N/oaZobDXek/qoK+GOrGOBpE3Yp3VgYGBLS8vDhw/5ax48eNDW1ubv7y/5wKD/QWLo/V2rNt0cPh/8fySGHtXKwbUukYuDlEbYAg/BfKVsclpxHRqiVf2GZucq61iGL8AYyWnFmWrazIxnso4FkraBP66nTZtGTD1BIpHCwsLGjh1rbm5eVVWVn5/v5eXV1NRkamoq3TghcKUE2+gMm6/+oTEhlJnx7AOvoN8LsYkGsAVedcF8pZTi6/AAI4Sd/UahR+mkosDHEHmh7uxZVYT3MhGauqwjgqRn4AJrypQp/Lm9IiIi+mzV0NCQbFBQP3VMkN4Enw/+Dw2PSTRblw8piNsN3pGJJHXYtqeqYL5SSk/r8DATHvs/eVTbXbKOZURCzdCYRqqPpX1v8Rs1pwmyDgeSnoE/lD7//HMpxwENhlNb1nHv/DW/PXOtUBUfX7QvBCHp6JsB4KWP3K7AltjC6lNFwXyllJ7WYofMKkj6pqi6pqxjGZEppsjyOOxrew9WfjossFTKkD6Tent7WwVgGOxWLD09KTEUM9vLxbCAGNQKe/S3fPg3Cf0/mK+UQH47TkYQq9G2+qv3yTqWkRo3CmnuxVstPXvz02QdCyRVIj6zHz9+7OrqqqGhoSegtLRUOsFBAMd7Mp61jp1U1IFPVe35BweF4wus8MwWvLwLdnVXdTBfKY2ntXiIKQJQlKQ9StaxjBSKgKlmaDRmx+vq4LXCkW9ViLB+K21tbREREfv27SsvL0cQJDw8/LvvvjM0NLS0HP6cSo2NjevXrye+3rp168SJE4d9KlXQW/wGpTMudlgsssEpsAFrID3pcb0FGUtsPzlfgH/lCWtQ1SWJfFVTU7Nw4UJNTU0AwFdffRUQECC+eCFh4mqV6pYyzBz5uwxfMNaDlZ9B95ku63AgKRH2of3q1avRo0dv2LDBwMBAS0vL398/KirqyZMnlZWVw75ed3c3k8k8derUqVOnPDw8hn0eFdGT/kTDc/LlYuxdO1heDUzNwYuZ9WK1Vc9vBRgPtmGpMEnkKzabbWpqGhMTExMTA6srqcEBeFKDBZsoT4E13Rx9XINRvUIAxpN1LJD0iBhoVFtbGwAwatSo+vp6AACFQhk9enRu7oimhaqtrT1//nx2djaFQhnJeZQezuUwXyWU2k7q4QI/I+XJNeKF0hlqDl42JXHG6uBBFaywVJeE8lVeXt62bduuXLnCf1FRCBzHu7q6+N2/mEzmSC6tsnLbcA0yop9xuzvpoei9FYGBGrBjIBl64+l+M2UdCyQ9wh4ROjg45ObmYhg2YcKEL7/8cunSpZ2dnc+ePfvhhx+GfT0Gg7FmzRoTE5N9+/YtWrQoMjJS+P45OTlLly7ll2IGBgbp6f9Mq97d3Y0gilp5iAyek5OMGlmdrWYsseR0d8nXaNRy9ZNHx03uvH/+g5lTTrzhTdLliNxfroJ/W0ocvJqaGpk8/ME2JJGvdHV1jxw5oq+v/+OPP5aVle3YsUP4/jk5OatWreLnK319fcF81dXVNexIxEj+w7hfSg4wQLoyntECw7HOTlmFIV4hhuQ7JZxxdK5swxAOhiFIeBhqamqiG4lwoQ4cOFBbW4vj+J49e9TV1Wk02p49e4QfMkQFBQXBwcEid5s5c+bly5db/quzs1Nwa0dHh1iCkQmRwTf9uq8j8aHJJXZBGyadkIZOvn7yGFZ7YEVbYbbeH+zKLtE/K/kK/i3B4IWQXL4qKSmZPHmyyN1mz559586dwbbKye9O/sNYEMP9M5dZ9fk8jNUjwzDEK74W8/ybI/MwhINhCBp5GCJ69uzevdvY2BgAsG/fvs7Ozq6urn37RvTSLBExACAlJcXCwkLk/iiKampq6v4X0dtURag5+7wwDLTWRMZoK2qLhZQgCN1vJi/5P+/YoWfheA0qTOz5qqamhnjMd/PmTQcHRZ1vWLHwcBBXi01i51DNbJVp3HMfQ6SsE6/tAaw8OFiDqhDddbqrq+vRo0cXL16Mi4vr7e0d4fVevHgRFBQUGhp6/fr1b775ZoRnU25072nnyqjvjYHd20WjT5zKyk5aZ9V1Nh/nwBJLhYk3XxUXF8+ZM2fKlCnFxcUHDx4US4SQcGlNuKkGQi9Lp9kr1VtQZBRMM0fvVWKtl47AwRpUhIgeD7dv3161alV3d7eRkVFdXZ2WltbZs2fnzJkz7OuFhYWFhYUN+3CV0tILHlZhJ/zhqwCioXSGuosvo+jxGMacm+VYhA2sSlWR2PNVYGBgbGysGCOERIqtxqeaIayEDN2F62Qdi5jNskCul+ILHDz/r737Dmji/P8A/twlkLC3KFMBBcTBKFMEZSgCLtRqrTiximhtba2t1TprRa3+qrW1WqutX6xfB8466sC9igOVJQjIlrAzIOPu+f1x/aZUEa1NcgQ+r7/C5QjvO3KffPLcas76w2BADNtxgNq19TlUVVU1ceLEZcuWNTQ0FBQUNDQ0LF26dOLEidXV1RrL15n9+oSOsifNeGzn0BImIxL4fYPm9Ca3ZsEQVmcE9apjOF9ODzUXUdWVOg6ubGdRsWH2ZFoFzXUPaHp0k+0sQBPaarDu3Lnj7e2dlJTEnNqjo6Mzd+5cT0/PO3dgF7J6ia6ekBVm/vSYnt4LRmJeF2lowjW3Hu1IFjSijFq4XkOnA/WqAxArULoA+zbc4/XsR3A62v3bLXjI04K4YeIjK8zEUriER8fX1ue3nZ1dXV0dbnH1F4xxXV2dra2t+oN1XphSCM+kPKZNq5tRuA0c3v7PcEk0253c/AgGsTodqFcdQFo59rUi+Byk7zeE7SxqMdKRTK3g6fbo3ZyTznYWoHatN1jMVfLs7OwCAgLi4+P/+OOPsrKy27dvx8fHDxgwoHfv3hpO2ak0P7zB7eq47VnX6b1IEvqrf4qmZ/ZCh5/S1e3rwmFAjaBedRhnSumhdqS+9yC9voFsZ1GLkY7E0ac0zwP2EnYKrY/BWlpatrwFfUpKSstnP/nkE2dnZ/Xm6sTEN09z/aL25dD34zraCLkGiG+f1SnJG9M9cVs2vcQLdrB2ClCvOowzZfhgeEfebJ2MiC56RHa3ALtTv2BK0fF2g4KWWv/v5uXltfE7r3P9KvBmFDUVstL8cyFLg6xJOwMYv/rH9PoENBzbsTBpYuhFo4/7kXwO24GA+kG96hgeN2CRHPc17+B1L647caDabKGVrawwm+fSl+04QI1ab7CcnJw0nAMwxNdPGfhFbsvnfubZwauMmpCGJnpeoYYPTnhZTtz7BM4S6BSgXnUMJ0twrAMpzbnDd/NhO4saje5OjjpLrZ26mDQwYTsLUK9XfPxIJJJVq1b5+fnZ2dn5+/t/+eWXEolEM8k6IUwpJLfPPnWPKpegaHvoDN6Q0aA40bWTi9wVGx7QNJxN2JlAvdJqJ0voEZbC2t1rEN2RT1Lpb05wCfSAsiR0dNnOAtSrrR3AGOPo6OiSkpKEhARbW9vS0tKdO3deuHDh3Llz2nu72fas6f4VbrfuWyq7zXInOLCC3xTXypbn5OFTdMZEN+Z4MT3SEVrVTgHqlVYTydGtKhxkdgf38kRkB99mx/UgDhTQXhZwBEMH11aDlZWVlZOTk5mZaWFhwUyZNWuWu7t7bm4u3JZLHQieHhk5JfUmnT0Wrt7+rxhFjK/ZtXrhpGFrMxA0WJ0E1CutdrqUHtCVQLm3+R5+bGdRu3FO5Nhz1Je+CBr/jq2tz57i4mIPDw9ltUIIWVhYeHh4PH36VP3BOiO9PgE7m3oNdyC7dJw7nLJD16EX18p2SPUlkRydL4fdhJ0C1CutdrwYj7Sjm3Pv6Hn4s51F7bwsCC6J7lZKK7+cgSkF23GAurTVYLm6uqanp7c8Qyc/P//OnTvwdVBNKIy2ZdNzPWDERQWMh7wjuXr8k/7kl/cotrMATYB6pb0UNDpZQsfKMnS6dicNTdmOowkTnIi9T7mkoYn08T22swB1aWsXoZOTU1xcnJeX1+jRo21tbcvKyo4cOTJ+/HhHR0eN5etUDhfRtgboLUsYNlYBnks/y8Qv3+GTK+/SVyrxwK6wVjs4qFfa68oz3MOI0M+/ye0TwHYWDXnHmQw/SS33DJXcvcR392U7DlCLVwyW7Nq1a8+ePVwu9969ezo6Onv27Pnxxx81k6xTEV8/Kc1/+PVD+qO+MHylMqS+EZdEn3uSi9NhEKtTgHqlpVIL6ThHovnhDb1+A9jOoiFupkRXfXTXZmBz5k0sg/tOdExtjWBdunTp22+/PXDgwOjRozUWqBPCsuaGkz+XTNpY3YxGOECDpWKTXMivMui0Cjy4GwxidWRQr7QURujIU3yhfz5pZMa17MZ2HM2JdyF3V5is7+HRlHENuXX8Q/s7obY+zgmCKCgo0FiUTkt84zTPpd+akq4L+sLNB1WPLs5Z4YUX/0HBse4dG9QrLXWzCpvoIhdXF8tZq9nOolETncmjT2mud4T4j3NsZwFq0VaDFRQURJLkyZMnNZamE8KUQngptdpv7O0qempPGL5Svcaz+2IqT8tplFrYka9eCKBeaan9BfTbTiTB4XKMzdjOolFd9NDAruRxfV952RO6oZrtOED12tpFWFFRQZJkTEyMu7u7ra2tcvrPP/9sY2Oj/mydguROGtfSdlWVywd9CD2476camETHV/+wdP308Nl/6I5wJHWgie2goF5pIxqjA4X43LBOullO60Vsesgd7hUqu3sR2fVgOw5QsbY+0vX19ePi4uLi4l6crs5InQlNC8/uE8fO//0h/d0AuLioWujYOvN6evrkpPYwmvBjLp3o3klLeYcH9UobXanEVnzkZtpJj42ItSfnXKOqBo6zqs1nOwtQvbYaLAsLi0WLFmksSickuXeRY2S2qt5jrgdhDP2V2pjETn22Ye6GhMghN8wnuUCD1TFBvdJGKU/oeCe6ctVU60+3d8J783FJNLUnub3cYllvuLp0B/TqnVJZWVknT56sqKjo1q0bM/yugVidAsaNp1MksXN/e0jnvw3tlRpxzLoYDhzBu7wzqseilXepL3qzHQioDdQrLdJModRC+r5bOsfUqhN2V4zZ7qTPEcUnroQR20mAyr3i2/y6dev69++/f//+goKC/fv39+vXb8OGDZpJ1vERhMmIGUtr+33Yh2PSSWuL5hiFvy17mrPGMmt3Hp1Z30n3R3R4UK+0y4li2suS0HtwTt8vgu0srHEwJPytiMMlMLLeAbU1glVYWLhixYq0tLTg4GBmypUrV4YNGzZu3Di4OLJK5NkGpj1UbB8Iw1dqR+jomg5PaPxt27Jhmz+7r5Nmz3YgoGpQr7TOrsf0TDuh9PID80kL2c7CprkenEU3OZPRDYWgzChsLNtxgMq01TVnZmYGBQUpqxVCaODAgQEBAVlZWeoP1il8+gf1WX+OAZw8qBF6XiH6XiGzXHGNlNhfAJds6GigXmmXcgm6WYUjqi/y+wQQvE59BNJQO0JKE/e5jsILB+Cq7h1JWw1Wnz59CgoKJBKJcopEIiksLOzdG45h+XdoCsua0yrJ/EY0G05q0yCjiPE6OtwN3vKPbtH1MrbTAJWCeqVdUoq4451I+a3TBgFD2c7CMgKhWT0V60qtec59xTfPsB0HqExbgydWVlbBwcGhoaEzZ85kbp66ffv2kJCQvLy8vLw8XV3dkJAQjQXtSOqPbEf6Jp+Lxn71FlyWiQWBVvRIR+Kjm9TOEA7bWYDKQL3SIjRGPxdwfnPLxBjznPqwHYd9k3pQ67Ppar9xJqlfGQbHIhJKU0fQVoNVXl5+/PhxhNCnn36qnFhQUHD06FGEkJWVVW5urrrzdTzyyqeSu5d+i9tmJMVxPaC9YgPGX7k1ep0zOl2Ko+zggPcOAuqVFjlZgrvysU3mad0BMYiAbRDxOWiOO2ddjctaE0vJ/Sv63oPYTgRUoK0Gq2fPnrW1tRqL0knUp35Phr+7JNvgSIiUQDy243RGtLBOsu3TH9/dPPWq2YMxXLgCWccA9UqLfJtFJfSkDHhDdB3hOhp/mtOb7LVf/sXACfSZHfpeodB3dgAwgqJRTfev0KKGT1FUvAvZxxTuPswO0tjcMHSUx/mvY+3RnGsU23EA6Fyy6vHDWhRnT/F6ehK68CXzT+Y8NNudXCP2Inh6TQ+ush0HqAA0WJpDS4T1h7cVhs+7VEUs94Zd7GwyChuHMLWq6cijWvxzHpxRCIDmbHpIz3YndeHD5wUL+nJSi2hJ6LuNp1PYzgJUAN7jmlN/+AedfgMnPem1JZBjCLul2EWS5u8ubLp48L+uTxbeonLqYTQRAE2obEKHi+CWoK0z56H3PThLG71Nx81lOwtQAXiXa0hzdrqsIDPZOj6gCxHrADvX2ccx62I24QPjQ19u8BC+fYESydkOBEAnsPEhNdmZVmxMwE1itrO0Rx/2Ic+X09kmHmwHASoADZaGYFlzftTC/5bwNgfCzsH2Qq9PgIFv5LBrawdY0fEXKRqGsQBQp+pmtOsxvUB2nmvRjdAzYDtOe2Sog5Z7c+Zep6AadQDQYGmI2DV4Qn6v3aEcczimsz0xjppE6PK/Upyok+HV9+FgLADUKDmDmuSo4FzeZzz0XbaztF8zXEmxAh0ooKmGGrpJxHYc8ObgLi2aQGM09ZJisgsRZgM7B9sZgrCY+jlWyPYR3ICjChdjNNEZvnUAoHplYvzTY/qB9UldW2fd7m5SoZDtRO0Uh0DbBnDGnKcGd71KPrlnkbCc7UTgDcFniXopqstpceOKu1SjHK3wgZ2D7RGhyyP1jbrqoZNRnAU3qTOlMDYPgOp9nk5/4CQhrxw0jpnKdpb2zr8LEW1PrNKJkgvKmzLgkg3aChosNaLqqwVbFl7IePpzHj4QzoW74rRzvU2Jw4Px5EuKW1XQYwGgSner8e9l9KyKvXr9B+h0dWQ7jhZY78c5WsrJD59ff+g7WtTAdhzwJuAzX12wrLn6x2WNfqPfLXQ7FMGx7tR3i9cSGHffPv2gQ8bIs4ob0GMBoCIURrOvUVuciqmMy8bDJrMdRzuY6KLtwZxJBa6kd0Td/m/YjgPeBDRYaoEpRc3Pa6VdXMIbR20N4vhYwqFX2oAgLKZ+7nxmwyGHe6POKq5WQo8FgAp8l0Xrc1F4ySmT4dNJA2O242iNoXbEqO7EfIOJVJ1AdPU423HAPwYNlhrQdO1/1klpFMlL/MKLHAt3dNYeut3dLROWO53d9JtV2pjzimNP4bxCAP6VAiFedY/aHswxHTdX3y+S7ThaJtmXUyjh7vf7tPF0iqwoh+044J+Bz35Vw7h236ZmkTjGbNFUN9333GANaxnd7m5WSevsbu29aHAg6Rr1zSPosQB4QwoaxV+kPvfk9DKBUfw3weOgw5Gc5FLrJxEf1Oz+EmEYVtcm8PGvYrUp60WCqiFmiye58z7rD6tXK3Gt7a3mb7QouHldsi4lSzzrKtUMt4QG4J9bcocy0UXv94FK+OZs9ImD4ZyxZT7P4tcjAvpUbQLvexV7ZtFrkOWyD7z1Pu4L61aLcYzNrd7/2tDY6Gj58kY5CjqmyG+E744A/AMHC+mDT6gfS9ZKc++ynUW7+Xchtgdzom9ZPKqDKqRN4EKjqpSST39YE7MtmBPXHborrUdwdczefp9qqPnVhPN9Nj3guGKlD+c9NxK+QgLwSjer8Jxr1FXubh2pkOfSj+04Wm+kI9lMoajT1JkoTm9DOcKY0IW7grR30AeogLzsiVSBP7xJLb9LX4jhQnfVkXBMLBBCie5kWgx392M64iQMZQHwCg9r8eizipO8AybF9yymLSU48E1eBcY7kRv8yPCTirtXblRtfJ+qr2Y7EXgFaAX+FVoiqvt1Y9nONQGHm8vE6PZIbh8zGODomHqbEkcKFy0t/SEqte7jW1S9jO1AALRLd6vx0NOKVHKfXd4Fy8Q1pL4h24k6jgnO5L4wbkxF0EOnIVXfLJAVZbOdCLQFGqw3J7l7seKr967V8cO7b/rUh7c/nGMGQ7YdmtXM5Z7m6OLj2T4Z//HdV5ecQQvlbGcCoD05UYyHn24+0fy9U9nNLu9v4BiZsZ2ooxnUjbgYw13AHbmzV2L1TyuF5/4Lpxa2WzBy+yak+Q/rT/wkEMnm23/u5O52/S24UHunQOobmY5NMgwbG/X73uAHs64KIwemDxvu2W22G2lrACOXoFOjMFp2hzqW3XClao2JiaHZ3PUkX5/tUB2TmylxawT3o1t+I+Wbfr7/tWXmbbOxc3RsndnOBZ4HDdY/I81/UHc6pb6qar3Vu5W+oZt8uf3M4ZO1c+GaW5tN+NBoyMToq8eDby54UuMeljHH3d5yphs5xJaAO06CTiijFidepQx00NnBzQZFgwwHxMAFBdRKj4u+G8C54mw98fqacbVn479fYuwzyHT0LLZzgb+BBut1YYRuPMM5F3MuUJEodODHnrqeFlBBOi+uubXJiATjqHiLRzfuuBjsqyDWZlBTL+GRjuTo7uTgboQ+bFugEygV43UP6P0F9Jdvcaa7kgSyQXY2bIfqLAZ2JdJH6WzPiYrmB02ovRFQhsNsCDjPuf1g4UNAIpFkZWW5uroaGRlp/q//AxjLK58KH93ONHY/SPc+XISNdNBUv7Ff9yRhhyBgELo8fe9BCKEEY5TgSpaKccPXcyqxwVpd9yZbd6tevf0dTXytoNnSYlpTrzTuDwHe+bBJ+uByovjsknEzu/RyYztRZ8Ql0ZzeZIKb6Z68oZ/+QdVI0ZSexFjD0u6Ch3oe/hxTK7YDdmqaLvzV1dXDhw+PjIz8/fff//Of/7i4uGg4QNtocaOkpKAkL6+pMMuwLKuR1D9v6JPeK9CrJ/H7MNLNFL4agLbYGRC2izY6F2X3z88S5J3gHdog0DX/Wdel1sRe5tDX0KVPHzPCxRg5GBI8DttZwWuTHXL9AAAZBklEQVRo5/VK82Q0ulmFrz6pK824E1CbvlB4V9/JwyxyHL+nK9vROjVdEs1wJWe4khm1eE8ePecmZ3JJVsjRX+RGVrrOfbq69OQ79NTpYo9IOIJBozTdYO3atWvSpElJSUlvvfXWli1bvvnmGw0HQDRFN4kVEnFjo6hR16hcx7pEjMslSFL+dMyFz7kKaaZejwqTHk02A/X957jaW87tQhjA8AN4bQRPj+/qzXf1tkQI0bR95dPepU/Kn5aUNz860eRxrox+IkSihoZVz36k9YxpEyu+iSnfyFTPyNDQ2MjE2NDcxNBCn2Oqy/ZiAIRQe6hXrBLJUbEYF4vQUxF+UItLK6pjHu30bs6boGiknfp3i/Dj957FMTZnOyb4S39zor8/B/nb5dQvvFROlefm4OIsm7xbns17LeR19WbdC8PnWTn2sNFHJrqEMSnnkZjQgXKjLpruHTIzM2fMmIEQ6tu375YtW145f11d3alTp0pLS5kfjY2Nx48fzzwWipouHP2NSyCEEJeSIblMjhGHVnAVzWVmvW45DGFmww2Cd9PX68mFfLlYXyHRxTIRadDAMRBxDa9ZBp5zedvekLDRR3Zd7R6/u8m+m2WUKdL9q8unEUKUeu5DR1EUpaaXVj8I/5pIawd9awcXH+SCUAhCCBEIIZoyqrzrX1dVLa6plpfnc5oauM0iXZlQTya+aOb7sf2H9TJkwEVOuGZ9wVdyjh5BklIdPYQQocOXEVw+lyi1cM9wDEcI6ZDIAou8slMRSco5fF0StTwCo9bMqcLWm3nMVTS7Pr2kQ7RyRrfQzL62qwfzmKOQ2uZfInArt7huNHOo69r738wmp6jB0UP09Vov6CRJEu3syGgV1iuJRJp26oIOp5WhS6GpXW23PszjNlbsc7PZPLlC0ooXZxOZ2NXYKGdrtnlyhaQphJCcRgqFgqtophQKDpdbb+qQae3HzCYVCgPyjvCkjVyZWKdZpCsX68uEegqJMSW63mXw/v7vOxgSHqZorBe/j62/scNEbhc75THsb7wptZMa0lFj9DRCPV0J5OqOkLtIjjJq0fUasbC06J7IMjtd8ayJaJDh6SUpMwWpFMFp4ug3cfVkXH2Zjh6lZ4QI8rzHFKmJNZ+DEEJOZbe612QjhBQcXYr718arw+WUu0XIeX/uOjd7lmNcW/RiEkyQ5U4DFLoGzI+mVbkmNYWtZi53DpbrGiKEFDJiqlEWrihodTa+50BS78+Lq8mLc+Vl6pqtWSbTCxr2sgb0deqVphsshULB4XAQQlwuVyZ79bUaxWJxXl6eVCplfjQ0NIyLi2Me5+Q+LsnJdHRwQAhJODpIR1+HJOQEp4nL51rY9Df9881qZmUiM59G8vmEgQHPSI/U1+/Gxc5chBAKQegz1PI9bYKQHFFIrv7Nraam5tNPP92xY4fa/5IayGSyqVOn7tu3j+0gb2jy5Ml79+7lctkcmbTyDGj14IjuCL2LKISQSI4kCtOm0veaRGIFRcskEoyQtFl66cJZL78gSwsL5h0up5GsCRE8Ay4l1ZMLZTSiW3RQcp36mv/dp5ovbcaVBbLWiniNCN/huDOP9WVNlqX5ZGsf8LUifIfj9urZhLRyNgOppOVsFc8qs5wc+/dp/WAdHR0dTmv9B4tUWK8eZWVX3L/Z1dr6xd+qFqO73D9bUgOpxLIkj0St9MHPz1ac2+pszySc+zrK2ZqsivMIRCOESALxOBwJ5pSWlvbo3qOJLzXm/Pl/sTBFZsZ6lI6Zjr4BX99Qz9BQ30DP1NTIzFh/Eldn0l9FkodsBmCE5IpWGrt/RCgUJiUl/fLLL//ydf4lhUIxefLk/fv3sxsDITR58uRff/1VTe9/HkJ+5sjPXBf17IUQQn/9Qyc0KSY0ipulQgkSSxSSpv179w4Z7Mflcp27GAhJWkohhBBHl1/H0UcIcSk5VypUvqwIo8wqaSP/z87Jo0LAF+S3GiBHr3+9/p9HLnuUVepVtz5btr5Xvb4+Qujq5etDfYVmdcWtzsZx7k9y/7zmpPRZqbwkT02zXb9+3c3c0dHNo9VffK16hTVryZIle/bswRhfvHhx6tSpr5w/Njb2+PHjrT51+fLloKAgFefTlNzcXBcXF7ZTvKGGhgYjIyO2U7w5PT09sVjMdoo31L179ydPnrCd4g35+/tfu3aN7RT/QMerVw8fPuzduzfbKXBpaamNjQ3bKbBYLNbT02M7BcYY83i85uZmtlNga2vriooKtlNgV1fXrKwstlOooF5p+kv85MmTp0yZYmJisnnz5hUrVmj4rwMAwOuDegUAeGOaPqegZ8+eu3btKisrW79+fVBQkIb/OgAAvD6oVwCAN8bCYSiurq6urq97Ti9N0yKRqK6u7sWnhEKhQqFo9an2r7GxkaZpLQ0vFAoxxloanlFfX688UEa70DTd0NCgpStfoVAIhcKXhdfX1+fx2t3tPDtYvWpsbKQoivUYDQ0N7aEANjU1IYRYj4EQYioq6+9/prywHoOiqMbGRtb/L/++XhG4fd8n0sfHJy8vr9XjkSmKkkql+vpaebsrmqYlEomhobbeZ14oFGrvdRe1OrxIJDIwMGhvZ9u9JrFYzOfzX3ZkaGJi4pdffqnhSKrV/usVTdNNTU0GBgbsxsAYi8Xi9lAA20k1aCcx2kl5YY6NI9m+ate/r1ftvcECAAAAANA6cF1XAAAAAAAVgwYLAAAAAEDFoMECAAAAAFAxaLAAAAAAAFQMGiwAAAAAABWDBgsAAAAAQMU4y5cvZzvDK0gkkpUrV+7du9fe3r5bt27K6bm5ucnJybt37y4rK/P19SUIgqKojRs37tixw9DQ0MnJicXMShjjLVu2fP/997q6uj179lROFwgE69ev/+GHHx49euTj48Pj8W7fvr1y5coTJ06cOHEiNDSU9Uu9oZeHl0gkS5Ys2bFjx61bt/r168dczGbv3r0bNmwQCoX9+/dnL/LfHDp0KDk5WSAQ+Pj4tJy+bt26rVu3nj17tkePHl26dKmoqPj444+ZNe/s7Gxl1epdmDXtZeEZK1askMvlzs7OCKGLFy+uWLEiNzc3MDCQ9SvHMK5fv75s2bIHDx4EBga+eBWZn3766f79+15eXgihOXPmHDt27MSJE7q6ui4uLmyEVTGFQpGcnLxr1y4zMzNHR0fldJlMtmfPnp9//tnCwsLW1hYhdO7cueTk5BMnTvz222+xsbGqjSGTyb766qvdu3dbWlo6ODgopxcVFSUnJ+/cubOwsNDX15fD4WCMt27d+t1333E4nNe/pOrr+/7777/99luCINzc/rrJd11d3YYNG7Zt25aRkeHt7c3n8+/fv79s2TJmMwwMDFTtBcNetozNzc1MKbt582a/fv2YK1H9+uuvGzZsaGho8PT0VGEGxoEDB9atW1dTU+Pt7d1y+tq1a7du3Xr+/HmmBJWVlS1cuJBZGz179rS0tFRtjDaWEWO8dOlSDofTvXt3hNDvv/++evXqJ0+eBAQEqPz6WOfPn1+1alVeXl5AQMCLtevbb78tLCzs06ePVCpNSkpi1oaZmVnL97NKMMtYUFDg7+/fchn/7//+b9euXSdOnCgqKvL390cIpaenf/HFF3fu3AkMDGz1cnfP+3c3Q9SE995776effiosLOzbt69IJFJOv3z58pUrVyoqKuLj43/44QeMcXJy8tKlS589exYQEFBQUMBe5L989913CxYsEAgEgwYNevjwoXJ6dnb28ePHKysr16xZk5iYiDFOSUn54IMP0tPT09PTZTIZe5H/8rLwTU1NN27cqK6u/uWXX0aMGIExPnPmzNixYwUCwcSJE192s1sNu3btWnR0dHV19cyZM/fu3dvyqevXrz979uz69euurq4Y48zMzOjoaGbNNzQ0sJT3b9oIjzFOSUnx9fXdsGEDxri4uPitt96qrKxcvXr1qlWr2Aj7PIFA4OnpWVZWtmnTpkWLFj337L1794KCguLj45kf3d3dmTXfHm4xqxJffPHF2rVrKyoqfHx8ysvLldNFItHmzZvHjx//66+/MlO+/vrrVatWMYuv8hiLFi3auHFjWVmZp6dnVVWVcvqtW7fOnz9fWVmZlJS0du1ajPH27dvnz58vEAjCwsLu3bun2hi7d+9OTEwUCARDhgy5ffu2cvqTJ08OHz5cWVm5adOmKVOmYIwPHz48e/ZsZm2o/LbHymUcPHjw/fv3ldObm5uZUpaSkhIdHY0xPnfuXFxcnEAgiI+PP3z4sGpjXLp0afjw4QKBYPr06f/9739bPnXt2rVnz55dvXrV3d0dY5yRkREbG8usjcbGRtXGYJaxurp60qRJR44cee7ZHTt2+Pr6fvfddxjjx48fBwYGVlVVLV68eOPGjaqNUVhY6Ofn9+zZs+XLlzNvxZYuX77s7+///vvvY4yFQqGXlxezNgQCgWpjPH78OCgoqNVljIyMPH/+fHp6el5eHsa4oaGhb9++T58+3b59+9y5c1/nxdvF9922nT9/fsqUKd27dw8LC7tw4YJy+sCBA4ODg7t27RoSElJeXo4QOnTo0Lx587p06TJx4sSjR4+yF/kvhw4dSkpKsrS0nDJlyuHDh5XT3dzcYmNjra2tIyMjmfAIoYaGhqKiIjs7Ox0dHZby/s3BgwdbDc/n8wMCAiwsLFxcXJh+/+DBg++9956lpeXs2bMPHjzIXuS/HDp0KCEhwcLCIjEx8blIgYGBXbp0cXJy0tXVZaY0Nzc/efLExMTE2NiYjbDPayN8dXX1kSNH4uPjmR+PHz8+YcIEa2vruXPnHjp0iI2wzzt16tTIkSNtbGwSExOPHTvW8imFQrFy5colS5Yop1AUlZ+fTxBE165dNZ5ULVJTU+fOndu1a9exY8eeOHFCOd3AwGDevHnMoKNSbW1tcXGxOobbjx07lpiYaGNjM2rUqFOnTimn+/n5hYWFWVtbDx48WFk258yZY2lpOW3atJabuUooX3zGjBmpqanK6U5OTqNGjXquADY2NhYVFXXr1k3l4/fKUvbcMvJ4PGUpY0ZQDh06NHPmTKaUqXyDSk1NTUhIsLS0TExMfO7Fg4KCmKKkLP5MUTI1NVX5Fd6Zcm1hYfHiMpaXl6elpY0dO5b58ejRo5MmTbKyspo3b57K18axY8cmTpzYpUuXF1+8qalp3bp1H330kXKKQqHIz8/n8XgqH8w7cuQIs4ytltDi4uLa2toePXoghM6dOzd06FAHB4fp06efOXPmdV68vTdYcrmcw+Ewb/1u3bpVVFQ8N0NNTc3WrVsTEhIQQgKBgNm/0+qcrKisrGQ+OVqNJJfLP/vsswULFiCEnJycmO548ODBOTk5LGR9QRvhmZxjxoxZuHBh23OypbKy0traGr0k0tChQz09PT/88EOEkLGxcXh4eHV19YQJE44fP85C1he0EX7BggVr1qxRjmMr5zQxMWloaNB81BdVVFQwkXg83nM3fFy7du3UqVNbfmC8/fbb9fX1ixcvTk5O1nRQ9RCLxcyNaF65LfTt29fJySk3N3fAgAEq32qam5v5fP7LYgiFwuTk5KSkJKTmjbftF6coatGiRcznqIODg4+PT0lJSWRkZEZGhsZilJSUhIWFjRo16pNPPnllYPXFQAhFRkZ6e3t//PHHCCFTU9OwsLDq6uq333775MmTGouxaNGitWvXvjintbV1ZWWlymMwhcLc3LympqblU1988cWiRYuYNzBCiMvljho1qq6ubt68edu2bVN5jJct4+jRo2Uy2bFjx2JjYzHGysrG7FinafqVL87CzZ7/ER0dHeViiESilsc0IITq6+vj4uK2bt1qZ2eHEDIwMGDKikgkaidDEUZGRmKxWF9f/8VIFEXFx8dPmjQpJCQEIRQQEBAQEIAQMjEx2bdvX3s4Nq6N8I6OjmlpaSUlJcOGDXv06JGRkZFEIkEItas130akM2fOSCQSX1/fUaNG2dnZLV68GCHk5+e3evXq4cOHsxD3714WPi0trbq6+t69e/fu3VMoFEVFRco5KYpSDsixy9jYWCwWM49bHoBVWVmZmprq6uqalpb29OnT+/fve3p6rlq1CiE0efLk/v37L1q0iJ3EKsXlcjHGBEG8cluIjIyMjIxECFEUdfTo0dmzZ6swhnLNvxhDIpGMGTNm1apVvXr1Qv/bzI2NjdWx8baxGdI0PWPGjNjY2KFDhyKEvL29mcOSrK2tU1JSVHsoJ7OMRkZGL8awt7e/cOFCWVnZkCFDMjMz1VrK2n7xs2fPisViX1/fESNGODg4fPbZZwghHx+f9evXR0dHayDGb7/9JhKJbt68+fDhQz6fX1JSopxTHXfOVb64TCZT9lIIoby8vKtXr/r5+d25cycvLy8rK6t3794rV65ECI0ZM2bo0KGq3VLaWMbExETmwcCBA4uKioyNjVs2gq9zwGt7H8FCCNnb2z9+/JjZKevn54cxzszMRAg1NjbGxcUtX748KCiImdPf3//ixYsIoYsXLzLNCusCAgKUkQIDAxFC2dnZFEVRFDVt2rTQ0NApU6Ywc8rlcuZBQUGBmZkZS3n/5mXhZTIZM4Oenp5CoWDmTEtLazkn614MX1RUJBKJKIpiWnZdXV1mN3nLNW9ubs5e5L+8LLyDgwPzTU4ikUgkEplMplzzly5d8vPzYzc2Qxnpjz/+6NOnD0KoqqpKIBDw+fzZs2fX1dUJhUKZTNbU1KRc88XFxe3hTrcq4ePjc/XqVdSiCj169KjVOZWLX1hYqPJNvm/fvrdv334xRlNT05gxY+bOncu0NejvbzaVl82WlYF58dzcXLlcjjFOSkrq3bu38sNSrQXwxWXMyclRKBQtSxkT4MXAqo3x3Iu/WJSYB2otSi/GKCgokEgkLi4uw4YNU5YXuVyunDMtLU3lhf3FGOXl5bW1tcbGxtOmTaurqxOJRFKptGWhUOvaUC5jWVlZXV0d+t9/obm5uaqqytjY2N/f/9KlSwihrKys192tr8KDxdTk7t27ISEhQ4YMWb16NcZYKpV6eXlhjDds2ODi4hIREREREcEc8Pv06dOIiIjo6OjZs2fTNM1ybowxxhUVFUOHDo2JiZk2bRpTVoKDg2tra0+dOmVra8uEZw5yX7ZsWUh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= plot(Beta(k+a, n-k+b), 0.15, 0.45; label=\"Beta(k+a, n-k+b)\")\n", "plot!(Beta(k+1, n-k), 0.15, 0.5; label=\"Beta(k, n-k+1)\", ls=:dash)\n", "plot!(xguide=\"p\", yguide=\"probability density\")\n", "plot!(xtick=0:0.05:1)\n", "title!(\"n=$n, k=$k, a=$a, b=$b\")\n", "\n", "plot(P1, P2; size=(800, 250), leftmargin=4Plots.mm, bottommargin=4Plots.mm)" ] }, { "cell_type": "code", "execution_count": 55, "id": "031370bc", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (300, 90, 0.05) = (300, 90, 0.05)\n", "(a, b) = (1 // 3, 1 // 3) = (1//3, 1//3)\n" ] }, { "data": { "image/png": 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b=$b\")" ] }, { "cell_type": "markdown", "id": "2e969e81", "metadata": {}, "source": [ "### 主義の押し付けをやめよう\n", "\n", "所謂「ベイズ主義」にこだわったベイズ統計の解説では, 通常の信頼区間とベイズ版の信用区間は解釈が異なり, まったく違うものであるかのように説明されている.\n", "\n", "しかし, 上で確認したように, 二項分布モデルのような統計学入門の教科書でよく説明されているシンプルなモデルの場合には, ベイズ版の信用区間は通常の信頼区間と実用的には区別する必要がないほどよく一致する.\n", "\n", "そのことは, 対応するP値函数がよく一致することと数学的には同値である.\n", "\n", "むしろ, 通常の4種のP値函数のあいだの違いの方が, ベイズ版P値函数とWilsonのP値函数の違いよりも大きいと言える.\n", "\n", "この事実は, ベイズ版信用区間が通常の信頼区間の近似計算法だとみなせ, 逆に, 通常の信頼区間は無情報事前分布のベイズ版信用区間の近似計算法だとみなせることを意味している.\n", "\n", "実践的には「同じもの」とみなしても害がないのに, 主義の違いによって異なる解釈を強制しようとすることは, 「かけ算の意味によって, 3×4は正解だが, 4×3は誤りになる」と教えている困った人達と同じ立場に立つことになる.\n", "\n", "そういうことはもうやめた方がよいだろう.\n", "\n", "「シンプルなモデルにおいては無情報事前分布のベイズ統計と通常のP値を使う方法は実践的には同等だとみなされる」という事実を理解して, 使える道具の幅を気軽に広げた方が生産的だと思われる.\n", "\n", "それを妨げているのは __主義の押し付け__ であり, 極めて有害だと思われる.\n", "\n", "__注意:__ 以上では統計モデルが単独の二項分布の場合に通常のP値函数とベイズ版P値函数の近似的一致を確認した. 同様のことは, 2つの二項分布モデルにおける「オッズ比」「リスク比」「比率の差」に関するP値函数についても成立していることを比較的容易に確認できる.\n", "\n", "__注意:__ 1標本のt検定の信用区間と予測区間は, 正規分布モデルで事前分布を $d\\mu\\,d(\\sigma^2)/\\sigma^2$ のimproper事前分布とした場合のベイズ統計によって, exactに(誤差無しに)再現される. ゆえに, その事前分布を近似する事前分布について, 正規分布モデルのベイズ統計は1標本のt検定を近似することになる.\n", "\n", "__注意:__ 通常の線形回帰の信用区間と予測区間も, 事前分布を回帰係数 $\\beta$ と分散の対数 $\\log\\sigma^2$ について平坦なimproper事前分布とした場合のベイズ版線形回帰によってexactに(誤算無しに)再現される. ゆえに, その事前分布を近似する事前分布について, ベイズ版線形回帰は通常の線形回帰を近似することになる.\n", "\n", "__注意:__ このように, ベイズ統計では統計モデルの構築において事前分布の分だけ自由度が増えており, シンプルなモデルでは事前分布を特別な場合に取れば, 通常のP値を使う統計分析法をベイズ統計の方法によって再現できるので, シンプルなモデルにおいてベイズ統計は通常のP値を使う方法の上位互換だと考えられる." ] }, { "cell_type": "markdown", "id": "ff536506", "metadata": {}, "source": [ "## 被覆確率の比較\n", "\n", "二項分布 $\\op{Binomial}(n, p)$ に従って生成されたデータから計算された信頼度 $1-\\alpha$ の信頼区間に $p$ が含まれる確率を信頼区間の __被覆確率__ (coverage probability)と呼ぶ.\n", "\n", "信頼区間の定義\n", "\n", "$$\n", "\\op{confint}(k|n,\\alpha) = \\{\\,p\\mid \\pvalue(k|n,p)\\ge\\alpha\\,\\}\n", "$$\n", "\n", "より, 被覆確率は二項分布 $\\op{Binomial}(n, p)$ に従って生成されたデータから計算された「当たりが出る確率は $p$ である」という仮説のP値が $\\alpha$ 以上になる確率に一致する. \n", "\n", "その確率は複数のP値函数について計算して比較してみよう.\n", "\n", "おおまかな傾向は以下の通り:\n", "\n", "* Clopper-Pearsonの信頼区間の被覆確率は $1-\\alpha$ より過剰に大きくなる傾向がある.\n", "* Sterneの信頼区間ではその点が改善される.\n", "* Waldの信頼区間の被覆確率は過剰に小さくなりやすい.\n", "* Wilsonの信頼区間の被覆確率は $p$ の値を動かすと $1-\\alpha$ を中心に上限に振動する.\n", "* 無情報事前分布の場合のベイズ版信用区間の被覆確率の様子はWilsonの信頼区間に近い." ] }, { "cell_type": "code", "execution_count": 56, "id": "2edffd50", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "coverprob (generic function with 1 method)" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x ⪆ y = x > y || x ≈ y\n", "\n", "function coverprob(pvaluefunc, n, p, α)\n", " bin = Binomial(n, p)\n", " sum(support(bin)) do k\n", " (pvaluefunc(k, n, p) ⪆ α) * pdf(bin, k)\n", " end\n", "end" ] }, { "cell_type": "code", "execution_count": 57, "id": "ce8d7a07", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "plot_coverprob (generic function with 1 method)" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function plot_coverprob(n, α;\n", " prior_hdi = (1, 1), prior_eti = (1//3, 1//3),\n", " ylim = (1-2α, 1), lw = 1, kwargs...)\n", " @show n, α\n", " p = range(0, 1, 2001)\n", "\n", " CP_Wilson = plot(; ylim, xtick=0:0.1:1, ytick=0:0.01:1)\n", " plot!(p, p -> coverprob(pvalue_wilson, n, p, α); label=\"\", lw)\n", " hline!([1-α]; label=\"\", ls=:dot)\n", " plot!(xguide=\"p\")\n", " title!(\"Wilson: n=$n, α=$α\")\n", "\n", " CP_Wald = plot(; ylim, xtick=0:0.1:1, ytick=0:0.01:1)\n", " plot!(p, p -> coverprob(pvalue_wald, n, p, α); label=\"\", lw)\n", " hline!([1-α]; label=\"\", ls=:dot)\n", " plot!(xguide=\"p\")\n", " title!(\"Wald: n=$n, α=$α\")\n", "\n", " CP_CP = plot(; ylim, xtick=0:0.1:1, ytick=0:0.01:1)\n", " plot!(p, p -> coverprob(pvalue_cp, n, p, α); label=\"\", lw)\n", " hline!([1-α]; label=\"\", ls=:dot)\n", " plot!(xguide=\"p\")\n", " title!(\"Clopper-Pearson: n=$n, α=$α\")\n", "\n", " CP_Sterne = plot(; ylim, xtick=0:0.1:1, ytick=0:0.01:1)\n", " plot!(p, p -> coverprob(pvalue_sterne, n, p, α); label=\"\", lw)\n", " hline!([1-α]; label=\"\", ls=:dot)\n", " plot!(xguide=\"p\")\n", " title!(\"Sterne: n=$n, α=$α\")\n", "\n", " a, b = prior_hdi\n", " CP_HDI = plot(; ylim, xtick=0:0.1:1, ytick=0:0.01:1)\n", " plot!(p, p -> coverprob((k,n,p)->pvalue_hdi(k,n,p; a,b), n, p, α); label=\"\", lw)\n", " hline!([1-α]; label=\"\", ls=:dot)\n", " plot!(xguide=\"p\")\n", " title!(\"Bayesian HDI: prior=($a, $b), n=$n, α=$α\")\n", "\n", " a, b = prior_eti\n", " CP_ETI = plot(; ylim, xtick=0:0.1:1, ytick=0:0.01:1)\n", " plot!(p, p -> coverprob((k,n,p)->pvalue_eti(k,n,p; a,b), n, p, α); label=\"\", lw)\n", " hline!([1-α]; label=\"\", ls=:dot)\n", " plot!(xguide=\"p\")\n", " title!(\"Bayesian ETI: prior=($a, $b), n=$n, α=$α\")\n", "\n", " plot(CP_CP, CP_Sterne, CP_Wilson, CP_Wald, CP_HDI, CP_ETI;\n", " size=(800, 1000), layout=(3, 2))\n", " plot!(plot_title=\"coverage probabilities\")\n", " plot!(; kwargs...)\n", "end" ] }, { "cell_type": "code", "execution_count": 58, "id": "780b6613", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, α) = (10, 0.05)\n" ] }, { "data": { "image/png": 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"\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_coverprob(300, 0.05; lw=0.5)" ] }, { "cell_type": "markdown", "id": "e23f509e", "metadata": {}, "source": [ "## P値の累積分布函数の比較\n", "\n", "複数のP値函数について, データ $k$ が二項分布 $\\op{Binomial}(n,p)$ に従ってランダムに生成されるという仮定の下で, そのデータから計算された $P$ 値の確率分布の累積分布函数すなわち $\\alpha$ にP値が $\\alpha$ 以下になる確率を対応させる函数を比較してみよう.\n", "\n", "$P$ 値の累積分布函数の値は名目有意水準 $\\alpha$ で第一種の過誤が起こる確率であると考えられる.\n", "\n", "第一種の過誤が起こる確率は名目有意水準 $\\alpha$ に近いほどよく, 第一種の過誤が起こる確率は名目有意水準 $\\alpha$ をできるだけ上回らない方がよい.\n", "\n", "大まかな傾向として以下のようになることを確認できる:\n", "\n", "* 小さな $n$ でWaldのP値での第一種の過誤が起こる確率は大きくなり過ぎる場合がある.\n", "* WilsonのP値の累積分布函数のグラフは斜め45度線の上下を振動し, 斜め45度線に近くなる(好ましい性質).\n", "* Clopper-PearsonのP値とSterneのP値には, 第一種の過誤が起こる確率が確実に有意水準以下になるという利点がある.\n", "* Clopper-PearsonのP値では第一種の過誤が起こる確率が過剰に小さくなり過ぎる.\n", "* SterneのP値ではその問題が緩和される." ] }, { "cell_type": "code", "execution_count": 62, "id": "b922132b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "cdfpval (generic function with 1 method)" ] }, "execution_count": 62, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x ⪅ y = x < y || x ≈ y\n", "\n", "function cdfpval(pvaluefunc, n, p, α)\n", " bin = Binomial(n, p)\n", " sum(support(bin)) do k\n", " (pvaluefunc(k, n, p) ⪅ α) * pdf(bin, k)\n", " end\n", "end" ] }, { "cell_type": "code", "execution_count": 63, "id": "5f09a06f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "plot_cdfpval (generic function with 1 method)" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function plot_cdfpval(n, p; f=Bool[1,1,1,1])\n", " α = range(0, 1, 1001)\n", " P1 = plot(legend=:topleft)\n", " f[1] && plot!(α, α->cdfpval(pvalue_wilson, n, p, α); label=\"Wilson\", c=1)\n", " f[2] && plot!(α, α->cdfpval(pvalue_wald, n, p, α); label=\"Wald\", ls=:dash, c=2)\n", " f[3] && plot!(α, α->cdfpval(pvalue_cp, n, p, α); label=\"Clopper-Pearson\", ls=:dot, lw=1.3, c=3)\n", " f[4] && plot!(α, α->cdfpval(pvalue_sterne, n, p, α); label=\"Sterne\", ls=:dashdot, lw=1.3, c=4)\n", " plot!([0,1], [0,1]; label=\"\", c=:black, ls=:dot, lw=0.5)\n", " plot!(xtick=0:0.1:1, ytick=0:0.1:1)\n", " plot!(xguide=\"α\", yguide=\"probabilty of P-value ≤ α\")\n", "\n", " α = range(0, 0.1, 1001)\n", " P2 = plot(legend=:topleft)\n", " f[1] && plot!(α, α->cdfpval(pvalue_wilson, n, p, α); label=\"Wilson\", c=1)\n", " f[2] && plot!(α, α->cdfpval(pvalue_wald, n, p, α); label=\"Wald\", ls=:dash, c=2)\n", " f[3] && plot!(α, α->cdfpval(pvalue_cp, n, p, α); label=\"Clopper-Pearson\", ls=:dot, lw=1.3, c=3)\n", " f[4] && plot!(α, α->cdfpval(pvalue_sterne, n, p, α); label=\"Sterne\", ls=:dashdot, lw=1.3, c=4)\n", " plot!([0,0.1], [0,0.1]; label=\"\", c=:black, ls=:dot, lw=0.5)\n", " plot!(xtick=0:0.01:1, ytick=0:0.01:1)\n", " plot!(xguide=\"α\", yguide=\"probabilty of P-value ≤ α\")\n", "\n", " plot!(P1, P2; size=(640, 320))\n", " plot!(plot_title=\"Assumption: data is generated by Binomial($n, $p).\")\n", "end" ] }, { "cell_type": "code", "execution_count": 64, "id": "a7c61972", "metadata": {}, "outputs": [ { "data": { "image/png": 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"" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n, p = 10, 0.3\n", "plot_cdfpval(n, p; f=Bool[1,1,0,0])" ] }, { "cell_type": "code", "execution_count": 65, "id": "19ac9248", "metadata": {}, "outputs": [ { "data": { "image/png": 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"n, p = 30, 0.3\n", "plot_cdfpval(n, p; f=Bool[1,1,0,0])" ] }, { "cell_type": "code", "execution_count": 67, "id": "1e0ee147", "metadata": {}, "outputs": [ { "data": { "image/png": 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jGBsbDxkyBLr2oO6v9fjy5UtFRUX//v1RyS9fvoSSmUymsbGxvLw8TEmhUOC32G9hbW2NHvfq1QtBEChn5syZMjIyN27cAABcunRJQUFh0qRJ3xKyYsWK+Pj4+Pj43NzcQ4cOzZ49OyQkpNGU33p+mEymjY0NGgWdkNPT0+EpiUTS19eHxzQaDfy3ItDpdOnHHiUsLMzc3FxdXX3QoEGjR4/OzMyEbal6cLlc9HszSo8ePeLj45OTk1NSUiIiIlCvDjqdzmazpVPW1NRI+098i3oXisXiuro6aQ+Dely6dOn9+/fFxcVDhgxxcnKSnlsF/9za2trvZorzo+BOWF2PS5cuAQDs7OzqBY4ePRoA4OXlNWPGjMePHz958mTRokV37ty5e/cuiUS6f/9+YmJieHh4cHCwg4PDmTNnli5dCn1JpC2EQCCQFov6/jR6Wg9p/2GhUEihUL57LxQKBfbdUa8WoVAoIyODJviW+1ITQKeqesqgx+vXr09LS2Mymd27dwcA+Pv7f8s7FADg4eEhEokKCwvh5+EtW7bcunXruwps27ZtwYIF8C/47bffZs+effHixXppFBQUoM8XChwYAADA6SK7d++u58VjYGAAD771L/B4vP79++/Zs0c6ENoPCNp4AgCEhoZu37793r17Tk5ORCKxoqKiW7duqC9xQ8lmZmb1pqMoKCgAACgUSr15ok1PG5WOhQ8b/Lvl5OTmzp17/vx5Dw+Pv/76a8GCBdA/67tMmzZt5cqVd+/eHTduXMPYb5UVfPDQU4lEIhaL0QePSCTW87ar9xw2bFRVV1e7u7t7eXlt3rwZ2ldbW9tGy1NNTQ219A0xMjJasmTJ1q1bYQ1iMBiJiYnSehYXF9dzu2sUBoMhPeW6uLhYIpEwGIymr4Lzjk6ePBkeHr5s2TIYCFst0DETB1vwHnAXg8Ph3Lx508vLK16Kbdu23bt3D3aDAABwDDAwMNDPz+/+/fvoFAIrK6t169Y9e/bM3d39+vXrAAANDQ0AAFpRuVxuampqi3WDA9roMdoTkpWV/dbcHjMzMx6PJz3j5fXr19DptMWYm5sTCARpZaRnIb99+9bNzQ1aXwCA9GAAfONLW4i4uLgZM2ag77vmjxzo6uouXrz45s2b+/btg0Op9RLY2Ni8ffsW7aMkJyejs0JtbGxIJFJZWZntf0F7md+ib9++X758sbKykr5KugsoTXx8vImJybhx46BpqXdrsrKy0uXQt2/f9PR0ExMTacmwP21ubp6RkVFRUQFT1tbWShuMhtR7SCgUCqqhp6dnfHz84cOHv3z54uHh0fTNotTV1bHZ7O8WTj3Mzc2lbzk2NlYoFNYbIfghUlJS2Gz2kiVLoPVlsVhfvnxpNKWVlVVGRsa32joAgNLSUgqFApsO/fv3z8jIQPujMTEx1dXVAwcO/K4+/fv3f/HiBZ/Ph6fh4eEEAqE5PuqwXSjd+klNTYVumN+9FudHwQ1wF+P27ds1NTWenp7Sr8JVq1aJxeLr16+zWCxfX9+srCyJRFJXV/fmzRsdHR15efmXL18GBgbCt2R+fn5ycjKcY6Crq2toaOjr68tisYqLi5csWdKaCX/btm1LTk4WCoVnz54NDw9fvXo1DO/Ro0dYWNiHDx8yMzPRNwJk2LBhPXr0WL58eVZWFofDOXDgQExMzNKlS7+bV15enoGBAWxG1ENfX9/NzW3jxo1fvnwRCARnz5598eIFGmtkZPTw4cPi4mKBQHDx4sW7d++iUSYmJgQC4cqVK6mpqXDw0NjY+M6dO1VVVRwOZ//+/dKGvAnFjhw5Al23ampqYmNjodh6yTw8PEgkkru7e1RU1OPHj2fNmoXOZtHS0lq0aNEff/xx9+5dLpfL4/ESEhL279//3azXrFlTXl4+b948OFhdXFwcEBDw8uXLRhMbGRllZGQ8f/4cAPDu3btNmzZJx/bo0SMoKOjz58+ZmZlisXjJkiUyMjLTp09PTU1FEKS8vPzOnTtw1HfatGk0Gm3ZsmUsFqu6unrlypVcLrcJJYOCgq5fvy4Sid69e7dz58758+ejN25iYjJ8+PBNmzbBp6IJIUwm8+nTp0+fPv3nn38mTJggFot/++2375aPNB4eHs+fPz927BiXy83IyPD09LS0tHRwcPghIdIYGBiQyeRLly6JxeLi4uL58+d/y8SOGDGCzWaj65xwOJx169a9efOmqKgoIyPj+PHjfn5+s2bNgg2jadOm6ejoeHh4lJeXFxQUrFy50traetSoUfDabdu29e3bt9Fcli1bJhKJli9fXldXl5SUtHXrVul2Z//+/devXw+P/fz87ty5k56eXlRUFB4e/ttvv9HpdBcXF1RUbGwsHF2DGBkZNedpxGkWHfXxGadluLm5jRgxomH4lClTRo0axWKxbGxsiEQiHEyzsrKKjo5GECQ8PFxXVxcAICMjQyAQXF1dKyoq4IXPnj2D/WBZWdnt27e7uLj8/vvvaF5eXl5oFocOHerfvz96+urVKzqdDl0zoBPW1atXaTQaiUSSlZWVninx+fPnYcOGaWho0On0d+/ecTgcOTk51MkoLS0NtugJBAKNRvPz80Mv7NGjh7Sf84kTJ2xsbOBxdna2nJzcxYsXGy2loqIiOFGSRCINHjx4x44dqMM2OmGUTCYPGjToyJEjqGMOvEdTU1M6ne7k5IQgSExMDJyIQiaTnZ2dfXx8UC+weri7uy9cuBBBkNzcXEtLSwKBAP+Cvn37fvz4sdFLPnz4MHz4cDqdbmNjc+/ePRMTkyNHjsAoPp+/fv16BQUFOBaqqKi4ZMkSGDVnzhyYESQ2NpZOp0MHXQRBoqOj4RsZvr6tra2hF3RSUhKdTkfdvxEEEYlEs2bNguWgrq5+584dOp0eEhICY1+9ejVw4MBu3brR6fSioiIEQRITE4cMGUIgEKBkU1NTdPpTVFQULCUKhbJkyZLp06dLuyVLo6Wl5evrC7v4AICxY8fWm9YFvwHfuHGj0csh8EGC6OnpOTk5STsNmZubo7MAHB0dd+7ciUbdunVLU1MTPT127JiKigpsGw0ePBj1BLx165aGhgaaLD8/n06nx8bGoiF9+vRBs5DOzs/PT05Ojkwmy8rKbtmyxcXFZcOGDTBqxowZ0o5pgwYN2rZtGzzmcDh2dnboULmysrKXl5e0J+D79+/RwaT+/ftLeyzOmjXL0tLyWwUVEhICp2sTCITx48ejVR5BEDjQDY/379+PfhsmEokODg4JCQloyoqKCllZWXSOFoIgioqKW7Zs+VamOD8EboB/Qmpra5lMZllZWb3wsrIyJpNZW1tbL1wsFufk5DTqUdxMoAHmcDh8Pp/JZKKTMZoPbP4LBIIW69CQ/Pz8goKCb0VBu/JdxGJxbm5uw8JsmpqaGiaTKf3Kaxo4sfvBgwfSgQKBgMlkFhQU/OgMkJKSEiaT2Zw/tLKyMisrq2mHbWnKy8uZTGbDydAikSgzM5PFYjVTTm5ubqPlv2fPHg0NDT6f30w5rUQgEGRkZBQXF2MlkMfjMZlM1Cf8W9y9e1dXV1d6qgKHw8nKympCk9zcXLSZhWJgYPAtX3GISCTKzs7+7tMrFosLCwuzs7MblvyhQ4fs7OyavhynxeAGGAcDUAPc0Yp0Jc6dOxcdHV1UVBQTEzN06FAdHZ3vvrh/Ympqat6/f0+j0aQX2fiJGTt27KVLl1ojgcViLV68GM7MbiO4XK6Zmdnr16/bLotfHNwLGgenY2AymVu3bi0tLVVVVe3fv394ePiPehL9TEyaNOn58+dOTk7e3t4drUt78Pjx41ZKoNPp58+fx0SZb0GlUr/lSoaDCQQE3w8Yp9UIhcLa2loajfatpZJxvoVYLG56ctcvApvNlpGRkZ4ohYPz04MbYBwcHBwcnA4An4aEg4ODg4PTAeAGGAcHBwcHpwPADTAODg4ODk4HgBtgHBwcHBycDgA3wDg4ODg4OB0AboBxcHBwcHA6ANwA4+Dg4ODgdAC4AcbBwcHBwekAcAOMg4ODg4PTAXQWAywQCOrtSAppYtvqHwUrUWKxGBM5cDFuTERhpZJEIulsKmElB/zUD0DnIS8v7+jRow3DO2Gh4bWmOfzEtaYzPACdxQCz2ewLFy40DG/N/vDSSCSSpvcJbz5YqSQSiQQCASaisFKJz+dj9VBipRL+AHQtMjMzHzx40DAcq0ITCoWdrdbweDysrFRnqzVisZjH42EiCsMHQCgUYiKqMzwAncUA4+Dg4ODg/FLgBhgHBwcHB6cDwNIAl5WVlZSUNAzncDhxcXFVVVUY5oWDg4MJJSUl8fHxDYf1JBJJTk5OXV0dGlJVVRUXF4fVwB0ODg5mBnjZsmUTJkxYvnx5vfDKyspRo0aFhoY6OzsnJydjlR0ODk7riYiImDZt2v37952cnEQiERrOYrHs7OxGjRoVHBwMQ5KTk52dnUNDQ0eOHFlZWdlB+uLg/FRgZoD9/f39/f0bhgcEBLi7u/v4+OzcufP48eNYZYeDg9N69u7de+nSpT179lhYWISFhaHhqqqqcXFxU6dORUOOHTu2a9cuHx+fadOmBQYGdoSyODg/G+S2ziApKcnd3R0AYG1tvWvXrm8lQxCEz+dLm/C+ffva2tqKxWJM/HIlEglWojCUA7XqVCoRiUQCgdCpVPpZH4CyL5Vivli7j0a9cAKBQCS2k3NGdna2kZERAMDKyio5OXn8+PHfSpmUlATrr5WV1d27d7+VjMvlFhYWSlfkkSNHGhkZYVj4CIJ0qv8RKzkYisJWTmdTCWA0gwgrldhsNolEahjenHdpmxtgsVgMlSOTydJjXA2TiUSi+Ph4NERdXb1Xr15CoZDL5ebl5bVSDYlEwufz5eTkWikHAFBXV6egoNB6OSKRSCKRyMjIdB6VhEKhgYGBrKwsJqIwmS2AlRyJRNLZVLp57k5fw37qVvR64SQSqd0MMAqZTG76pqQrchMpeTxebW0tWpFJJJK1tbWenp5QKKyurm7UR+SHEAqFCIJ0qlrD5XJlZGQafQV3lEpCobBHjx6tlyMWiztbrYFCMOkkYKXStWvXFixYQKVS64VTKJTvPhVtboANDQ2ZTObw4cMzMjJgW7txPchkBQWFhlOBRSLR1atXN2/erKam1kpNEATB5G/DSg6GYKVSeXn5n3/+6eHh0XpRQqGw4RPZgXLgZPnOo9KBAwfseo2SCLBRqcV069attLRUQ0ODyWT27t27iZSwIqurqzOZTGNj428lo9PpPXr0aFiRhULhpk2bbt++raSkhI3qraYTvhCwElVYWBgZGTlw4MBWyhGLxQQCofPUGgAAbJti0gJrvUpsNjsgIGDp0qWysrIta4FhZoBfvHjx7NmzrKysc+fO/fbbbxwOZ9OmTX/99dfs2bOnT5/erVu3M2fObN68uQWS+Xz+woULjxw5gpWqON/C09OTz+d3tBY/OTwe7/3792vWrHl45gUQd3BLztPTc+3atW5ubk+ePNm2bRsAwMXF5dGjRwCAv/7668OHDywWi0qlTpgwYenSpT4+PsuXLz9//vytW7dakBefz9+/f/+iRYswvgecBgwdOhSvyG1NSUlJWVmZh4dHa7rRmBlgBQUFa2tra2trAACRSFRSUpo1axYAwMDA4Nq1a8+ePfP19e3Tpw9W2eHgdEUEAkFOTg4c51eiKCDEDl6Kcu7cud27d8/IyHj06JG8vDwAYNmyZTCKRqMtXLgQAAD7rMOGDVNRUYmPj79+/bqBgUEH6oyD0+Fwudz8/HwLCwsKhdIpDHC/fv369esnHTJy5Eh4YGRk1MTgMw7Or0NAQMDkyZPpdDoAwFiru0SM2VLnLWbo0KFDhw5FT11cXODB5MmT66Xs06cP3obGwQEAnD59eu3ata331Wjzb8A4ODgAAJFIdObMmVWrVqEhb3vEAgTpAfQ6UCscHJwfoqKiIiQkxNvbGxNpuAHGwWlzOBwOk8mcP3++dOCXynQSAV8LFgeny1BUVFRXVzdt2jSsBHWn2sMAACAASURBVOIGGAenbRGLxampqdra2vUcgPsz+hDxxdhxcLoIsCLb2dlhMlETgtd/HJy25cSJE2ZmZpqamvXCR+sOG6Hj0CEq4eDg/Ci+vr7Dhg3Ddt7gr2iAq6urCwsL0dPKykp0wVscHAzh8XiXL19eu3YtdDCuR+j5qLDA1+2v1U9DWVlZeXk5epqdnf3q1asO1AfnZ6WoqOjBgwdbtmzBXPKvZYBjY2MHDBjAYDAGDx5Mo9G8vLxEIlFmZqa0a0w70717dwKBQCaTDQwM1q1bh9Ve0zgdTm1tbW5u7qRJk76VQMQXC3nYLGH4q3Hv3j1TU1NTU1MbGxsGg3H48GEAwIsXLw4dOtQh+rDZbAKBQCAQZGVle/TogS9a8DNRWFjI5/OdnJzaQvgvZIC/fPkyatSo6dOns9ns7OzsnJwcAIBAIOhovUBwcLBIJAoPD793796JEyc6Wh0cbEhISFBVVVVRUflWAm1HVYOh9celcb5LSEjI3LlzfX19q6qqCgoK3r59Kz2g1YHk5OTweLy//vpr27Zt0jtb4HRpEhIStLW1MfzuK80vZIAPHDgwatQob29vuGaYiorK8ePH640NJicnjxgxgsFg9O3b9/HjxzBw3bp1hw8ftrOz09bWdnd3Z7FYAAAmk+ns7Lx//359fX1TU1N0fxiBQLB582ZTU1MDA4MVK1ZwuVwAQGhoqKen54oVK+h0eqN7RgEAzMzMXFxc4CK6ERERMDt7e/uEhASYYMOGDUZGRjo6Og4ODu/evYOB69evP3r06JAhQ5SVlYuKik6cOGFsbKynp2dhYfHy5UsAQG1t7ZIlSwwMDExMTHbt2gUXH79///7atWuXL1+urq5uZWX1+jU+EIoxe/bscXBw6NatWxNpLK16mPXA58f/MDt27FizZs2UKVPgqa6uLuwBS/Ps2bN+/fppaWk5Ojp++vQJBk6cOPH06dNWVlY6OjqrV6+Gje/w8PBly5YtWbKEwWD07t07KioKJq6srFy4cGH37t1NTEz27t2LIAgA4NSpUzt37pw0aZKysvKLFy8a6kYgEBwcHAYMGAAr8pUrV6ytrXV1dV1cXOCC9hKJZOrUqQYGBjo6Oq6urrm5ufDCSZMmnTt3ztraWl9fXyKRrF271sDAQFtb29bWFnYVCgoK3NzcdHR0evbseeXKFXjV4cOH9+3bN3HiRDU1NQcHh8zMTCwL+pdHLBbv3bvXxcUFk5UvGwfpHJSXl6upqTUMZ7PZR44cWbt2LYIghezi5zmvMiqzEARJZ2U+z3lVVFuCIMin0qTnOa+qeNUSRBJTEP8y9w1PxOeL+C9zo9/kvxVLJFCUqampn59fwyzi4+MNDQ0RBOHxeIaGhidPnhSLxREREYqKipmZmQiCTJgwQV9fPzMzk8/nz5kzZ/bs2QiCfP78mUgkbty4USQSvX//nkajJSYmIgiycePGyZMn19TUcLncmTNnbtq0CUGQgIAAMpl89epVoVBYV1cnnbuBgUFwcDDMvX///ps2bUpNTdXU1Hz79i2CICEhIXp6erW1tQiCREZGcrlcBEFu3rxpbGwMFzd2c3MzNDRMTEzk8/lMJlNNTa2oqAhBkNLS0ry8PARBli1b5urqWldXV1hY2LNnz9OnTyMIcv78eRkZmaCgIIlEcurUKWtra6jMihUrTp482cq/ElJTU9Op5IjFYliMradpldhs9u3bt5sjZ2vkvuNx5zBRqfMQGRnp6OjYMLympmbRokUXLlxAECSdxXye86q4tgRBkI8liZE5r6t5NRJEEl3w9mVuNP//lTe64K0EkVTzaiJzXn8oSYRyOBwOkUh8+fJlwywuX748YcIEBEHy8vKUlJTCwsIkEsnZs2d1dXVhpTMyMho0aFBlZWVVVZW9vb2vry+CINevXycSiZcvX0YQ5MGDB2pqalVVVQiCjB8//vfffxcIBBUVFXZ2doGBgQiCbNq0CZpekUgEKyN6dwCAnJwcBEHKyso0NDQCAwMfPnxoYWGRlZUlkUiOHj3q4OCAIIhEInn27JlQKBSLxT4+PlBhBEFMTEzs7e0LCwvr6upCQkL69u0LH9fMzMzKykoEQRwcHOAnqk+fPqmpqcESWLNmjbq6ekJCgkgk8vT0nDlzJpQ2ZMiQFy9etPrPREQiUb33VYvBqiLz+Xw+n4+JqKZVysnJefbsWXPk1NXViUSilunQlXrA15Pv+kQd8Ht3EQBw8t0Fn6gDN5LvIQDZHnXAJ+pARE5UBYe17eX+7VEHPpcmp1Skb4/y3R7lW1JXCi9ns9lN7+gQGxsLn2MikTh8+PCRI0feu3cPRi1YsMDQ0FBGRsbHx+fOnTsSiQQAQCAQtm/fTiKRevfuPXny5Dt37gAALly44OHhUVZWVlhYOHPmzKCgICjB0tJyzpw5ZDIZQZDq6urq6mr0c6+Xl1e/fv0MDAwoFMr69euvXr06ZswYVVXVzMxMMzMzOp0OW9ODBg2KiIg4d+5cVVVVYWFhcXExvHzhwoWWlpYyMjLy8vJCofDhw4fl5eXq6uq6uroAgBs3buzYsUNeXp7BYHh7e9+4cQNeZWdn5+rqSiAQZs2alZyc3MRGVTjNp6ampqSkZNSoUc1JLJQIheJf8ZP/8fjzPlEHbqY8kCAIrKTPc1+V1pVve+m7Pco3sexLUnnq9ijfbS99S+vKI3Nfb4/y3f7SV4IgAIC6ujqJRKKqqtqE/AcPHtjb248ZM4ZAICxZsoRKpaL92nXr1tFoNBUVlQ0bNqArWhsbG8+bNw8AMGHCBBMTk6dPnxYWFj558mTBggV5eXlVVVVTp05FK7Krq+vQoUNJJBLc36m6uhrd0s7FxaVfv34mJibDhg2bPn36hQsXfvvtN4lEkpWV5erq+u7dOxaLRSAQ+vfvf//+/QsXLsjJyUkPPnl7ezMYDHl5eXl5+ZKSktDQ0NraWkNDQxqNlp+fHxMTs3v3bjKZbG1tPXfuXLQiu7u79+nTh0QizZgxA+3r47SSwsJCsVg8ZMiQts6oK80DXjdg+boBy+Hx8VF70fB7k6+gx+Ez7qDHz3+7L325trY2OuDTKMXFxdra2uhuJLq6uqiRYzAYqBAej1ddXQ0AoNFo6Ai2jo5OcXExj8erqKjw9/dHhyzQDUm0tbXhwcKFC2GtO3LkCJzQvWrVKgcHBwaDAXPJz89///79pk2bYHozMzMKhcLhcOzs7GxsbGxtbeXl5UkkUlVVFUyP6qalpXXr1q1Tp06tW7fO1tb24sWLurq6VVVVOjo6De8IHR2Vk5MTi8UCgYBM7koPQ+ckKirK3t6eRqM1J/F04TRZKqWtVeqEnBy9Hz2+PyUAPX7SWOWdYOo0wfSr/wuNRpOTk8vLy7O0tPyW/JKSEvSZBwDo6Oig2yCilaXRQACAtrZ2cXFxQUEBiUTavn07Gm5hYVEv8ZAhQ6APdnBwMFxqd//+/bq6urq6urChX1BQUF5ejhpFFxcXDofDZrPt7e2nTJlibGwMa7F01vDA0dFx9+7dfn5+8+bNGzdu3Pnz50tKSuh0Ovq20dXVRS23dEWGH7xwWs/Lly+nTp3aDq/EX+id6+LicuXKlXXr1qH7RvH5fArl6xtQX18/KytLJBLBck9LS5swYQKMYjKZ8CAjI0NZWZlGoxUUFFRWVrJYLNgYT09Pt7GxoVKpsKPZsOmE2vWbN2/WizIxMenbty96amRkJBKJ0I/KkOfPn5NIpICAAABARUUFumI++O/WmGPHjh07dmxtba2Xl9fu3bsvX76soaGRnp4OJ6GmpaXhy+i3Hbt27ZJ+ZX8XURpCVgdgUNtp9BNCJpOdnZ0vXrwo7ZXK4XCknTn09fXRD7RisTgjI0NfXx+eMplMe3t7AEB6ejoaCEeJ4bq+6enpCxYs6N69u0AgOH36dMOv+Ojyvx8+fEAD2Ww2AAB+wUUDDQ0N+/bti7akISdPnhw+fPjx48cBAGi/HCJdkRcsWLBgwYKysjJ3d/cLFy7MnTuXxWKhb5u0tDTpjHAwpLa29ty5c+vWrWuf7LrSEHQrWb9+PYlEGjNmTFhY2KdPnwIDA/v06SPdZhwwYICOjs7GjRuzs7PPnTsXHx8/Y8YMGPX333+Hh4czmUxvb++FCxfCqkImk9esWZOdnX3nzp3Q0FC4+9Pvv//u6ekZFRVVUFDw4sUL1F2i+Xh4eISFhfn5+eXl5SUlJR07dqyqqkpLSys7Ozs6OprJZC5fvly63YDy5cuXy5cvZ2Zmslis6upq2FRfunTphg0bkpKSoqKiDhw4sHTp0paVHk4TVFVVhYeH/5D1BQDk1RSmV+JeMz/MoUOHoqKi5s+fHxkZ+f79+9OnT9cb8586dWpycrKfn192dvaWLVtoNBraID58+HBCQsKHDx92796NboxYXl6+Y8eOvLy8w4cP19TUjBkzRl1dff78+bNmzXr//n1+fn5wcHALlgrw9vY+fPjw7du3CwoK3r9//+effwIAtLW14+LiUlJSPn78uHXr1kYvjIyMvHfvXn5+PovFqq2tZTAYGhoaEyZMWLFiBZPJvHv37vXr1xcvXvyj+uB8FyaTmZqa2m7WF/xSPWAlJaVXr16dOHFi3759fD7f2NjYz89PQUFBVVV1/PjxAAAikRgWFrZ9+/aZM2caGBhERUWh7d81a9ZcvXo1IyNjxIgRO3bsgIHdunUbN27c7NmzlZWVHz58qKenB1NqamoePHiwpKRET08PLv9rYGDg4ND4mkfjx4+XHgEDADAYjNjY2H379gUGBlKp1MGDB1OpVAsLi8OHD2/YsIFCoaxZs4ZGoykrKwMABg8ebGhoCC9UUFCIioo6d+4ckUgcOnQo3N7Vx8dHWVl55cqVMjIyhw4dgr6j0BsFXkUkEt3d3Vu2mzQOAKCmpqa8vLwFm58TAREhdPB2hF0RIyOjhISEo0ePbt68mUAgWFtbnz17FgDQvXt3WMtoNNqrV6927twZGBhobW399OlT9PFev3799u3bq6urly1bhhpgBwcHJSWlqVOn6uvrP3v2DE448ff3P3ny5MaNG2tqakxMTFavXg0AsLa2hv4f9SCTye7u7vWmVAwcODA4OPjIkSOHDh2i0+nOzs4AgMmTJ3/69GnhwoV0Ot3Hx+fcuXMwsbOzM/phW1FR8ezZs76+vnJycnPmzPntt98AAAEBAbt27Zo7d666uvrDhw/hCLyNjQ2aKZ1OHzduHKYl/WtRUlIiFottbGzaNdeW+W5hTnO8oDuKCRMmXLp0qV7g58+ftbW1O0KdNgT3gm4O9VS6fv16y5R8d+JL8u0sTFTqPDTHC7qjMDIygpMLpLl+/fqYMWM6RJ+2A/eCbg71VDp//rzk/1NmfojWeEH/Qj1gHBxsEYvFBw8e/OOPP1p2OVfER8R4DxgHp4MpKSkJCgry8PBo/6wxM8Bv3779/fffSSTS5MmTV6xYgYZXVFTMnTuXRCLJysqeP3++mQ6inYqzZ88qKCjUC+zRo8ebN286RB+czgCLxUpNTd24cWOLJZTWlYMasS0wx1CrHyUvL8/Dw4NIJJqbm9dbQPHAgQPPnj0Ti8UnT57s2bNnSkqKp6enoqKitrb2qVOnuqLPfGRkpIaGRr1AFxcXR0fHDtEHpzOQlpYGAOiob+qYOWGtXr36ypUrYWFhly5dKi0tRcOPHTs2ceLEoKAgV1fXY8eOYZVdiykuLs7MzOTxeM2/REtLq95GcgAAGRkZ3KP4l4XNZpeUlFhZWaE+sS2ACEhkUgebMR8fnzVr1oSEhBQWFkrvZJCRkREaGhoWFnbs2DG49/jmzZv37NkTFBSkrKx8//79b4tsDyQSSV5eXm5u7g+tna6np9dwQUFFRcV6Thg4vw5VVVUcDsfY2FjaBb09wcYAwznp+vr6JBLJ3t4eLhwBKS8vhytC6OrqNr1XiUQiyZQCevZjSFJSkrW1tZ2dnZubm5aWFnRBrK6unjlzJrYZ4fz03Lhxw9DQsGGz7IcwUNKxUOuBlUotIyYmZuTIkQCAUaNGSY/oxMTEDB8+HLo4paeng2ZXZARBeDyedEXm8/nY6hweHm5gYDBmzBgnJycNDQ04Ny8xMfH333/HNiOcn56AgIDevXt3oAsqNg1wNpuNOuMpKipKzy6fOnXqjh07ampqoK/KtySIRKKamhr4LoAsWrTIy8urrq4Oqwrs6ek5YcKEvXv3AgC4XC4ceeDz+Xfu3Ll+/TomWXR14NsTk6ZPbW1t64VgKEcikfB4vEZdWH8IDodz8eLFVatWCYXCVm5dxeJU1rKrNdnK9cJlZGTaaOX3hvB4PDilTVFRMSsrCw2vrq5WVFSExwQCQSwWz5gxY926dZMnTw4MDLSysvqWwKKiok+fPqEVmUgk7tmzx8XFpba2FpOdvhAEmT179rFjx6BvMIvFgqthlJaWPnnypPXyfxrgoh+tFAKX6EGX+moNWFVkuIJ36xdnzsnJef369fz581tfSlwuVyAQNLTiVCq10fmi0mBjgGk0Gmp0i4uLpe3oyJEjGQzG58+fFy9e/Pfff39TDzKZRqNJvwIgcIcvTJTMyclZuXIlPJaTk4Pu5lOmTBGLxcbGxgCA4OBgMzOzo0ePnjlzpra21sbG5vz583p6eunp6XPnzh03btypU6dcXV2tra1zc3NTU1Nfv36tra197do1KCo1NdXT0zMlJYVKpf7xxx9dcaIegUCgUqmt7NihdCo5EomETCY3/Jb/Q5SVlZWWli5duhQTlWoEtYhAhFUptQxYc2k0WnFxsZaWFhqupaUVGxsLAIAvXxKJ5OnpaWtrm5+fP3v27CZa0tra2gMGDIiMjGwY9d2XUXOora0tKytDF65RVVVVVVXlcrmzZ8+uqKiAFTk9PR3uiXL37l2RSDRixAg/Pz8lJaXg4OC///6bSqXev39/69atTCZTR0cnKCgoJSWlV69et2/fhiXw4sULb2/voqIiGo129OjRMWPGtF7t9kdeXr71j5ZYLObz+Y3uZt0CMHnUMTHAKSkpKioqM2bMwEQl6OHUsm40NkPQRCLR1tY2KCgoJycnLi5u8ODBHA7n5MmTAIDKykoFBQUHB4czZ85IO2e1AG4pv/xjdRO/uoKvX3YlAkn5p5qKxBpE8q+j6dSpU5ctW+bl5XX79u3KykoY+M8//5BIJCaTyWQyzc3NAwICbt68GR0dXVRUNGbMGDiLVyAQxMXFicXigoKC06dPV1ZW/vXXX3v37q2srJw+fTpc6YbH440fP97Dw6OgoODly5f79u2Li4trzc3idDa4XG5eXp6RkRFWW6PwtOrktamYiGoxbm5u/v7+lZWVN27ccHFxAQAcPHgQQZBRo0aFhYWVlJQEBgbC9nR+fr6RkZGlpWVgYCCsFy2mNpfbdEXmsb5uEipki8o/Vlel/9t/UlJScnJyGjdu3ObNm0NCQuBCOnJycoGBgT179oQVmUgkbt++vaCgICUlJScnR1ZWFs6Jr62tvXnz5pgxYyoqKlauXFlSUhIQEPDPP/9UVlbq6OjALZXy8vKmTZt2+vTpgoKCv//+e+7cudIeLTg/AVwul8Vi6ejotMaBAysw8wE5e/bszp077969e/XqVVlZ2bq6Omjk6urqfHx8xGLx2rVrhw4d2posit6wSt9WNZGAZqZoPlcPHtcW8DJuFxAIhN5rjWXpFADAoUOHHBwc7t2798cff8yZM+fUqVMNO6mXL192dXXNycnJycmxt7ffuHEjh8MBAJDJ5C1btqCen66urrDXO3ny5PPnzwMA4N5/JiYmcKPAIUOGhIaGDhgwoDX3i9OpOHPmjJeXF4lEwso7YcrCsa0fEm8lmzdv3r9/v6en586dO+GKLnC3TRUVFX9//w0bNmhra0Pv6JKSkoMHD6qoqFy4cAF+DG4x2aEltblNrVqsPVRNf+y/7sqsZHZWUDFZnmT7hymBSAAABAUFBQYGhoaGXrp0SSAQ3Lp1S3rIDXLlypVjx44lJycDAEaOHLl9+3boAdqzZ0+4vB1sRS1YsACuGu3m5gYXrbt16xb8KAgrsomJSVRUFLr1IU5XRyKRnDlzpj3XumoazAwwHK5BTxUUFODKfLq6upcvX8YkCyM3hpFbc/0VlQ3l7XZb1AucOHHixIkTAQD+/v4rV66En5GkKSoqevLkCbp++qRJk+rq6gAAqqqq0gNo6Jo1VCoVOlQXFRXV1tYeOHAATSO9HDxOl4bFYj169AjzSnvu41WrbuaO3e2xFftDkMlk2DtE8fX1hQeDBg1Cl0sDANja2jZcxrxlWC3t3vzEmgPpmgPp0iEUCgUulSyRSNasWbNq1SpoaFGEQmFZWdn169ep1H8HGNAbkR5mBwDQ6f9Klq7IWVlZaEXW1tZGv4XjdHXgiEjnsb7gl1qKUhonJyc+n19dXS0rKwtXP4Fu6MbGxqNGjVqzZo104tLS0u86qRsbG1MolGvXrnXF+ZE4TVBcXMxms6dPn4655ISST1QStWMNcJeGSCSOHTv22rVrAAAymYz6ClEoFH19/dWrVzfcF7I5FVlfXx/dqRDnpyElJYVGo5mbd+S0+4Z0/CB4uzFp0qTz58/Hxsa+ePFi5cqVAwcOZDAYdDq9W7dufn5+T58+ra2t3bRp0/79+69du5aWlvby5cv9+/d/Xy4AAAB7e3sTE5MFCxYkJCQkJiZevHgxOjq6TW8Hpx0Qi8Wpqam6urpt4ZY8TM7RQs4Uc7E/N9XV1c7OztevX4+Pjw8NDd22bZubmxsAwNjYOCcn59atW0+fPkUQZOvWrStWrAgJCUlLS3v8+DFcLLo5zJ49OyMjY9u2bYmJiQkJCYcPH87Ly2vLG8JpD8RicW5urpaWVkfN9/0Wv1B3bdasWSEhIYGBgYqKira2tl5eXgAAAoHw6NGj69evf/782cLCwsHBISQk5OTJk2fPnlVXV4duKXQ6ffbs2agcW1tb+GEYAKCsrDx37lwoJyQk5OjRo1u2bBGJRNbW1s3clR2nM+Pr67tly5Y2Em6VYE0XKXboQlhdDwUFBTc3t6CgoIKCAhqNNm/ePLjBl46ODtyyjM/njxw5cvHixQwG4+rVq0VFRXp6enCnMmNjY+ntCkaPHo3u8tu9e3dY2ZWUlN6+fXvw4EEvLy8qldqvXz8VFZWOuFEczOBwOOfOnas3rtlJICBIp1iNtqKiwszMDE7pk6a2tvb8+fN5eXn11snDaQs8PT0tLCzQyVqtgc1mY+Lij5UciUTC5XKbPw2puLg4Ojp60qRJbafSo12vqJbEUVMGt15U5+HFixc+Pj4NpyGx2ey1a9cOGjQI3YMIp+0YOnTonj17Wun0CjCdhoRVrfnRaUgfP37kcDjS3gyYq8ThcFo8DekX6gHj4DSToqIiPp/f1pu7BVsGDTbq36ZZ4OD8ynz58kVTU1NTU7OjFfkmv9A3YBycZpKQkMBgMNp6OSonq2H9dNp381EcnF+J5OTkTvjdVxrcAOPgfEUikezZs2f8+PHtsBjkMD2H7sr6bZ0LDs4vSGlpqb+//+TJkztake+AG2AcnH/Jz89//vw53KWjHVgf6fM4+1n75IWD8+vw9u3bsrKyZcuWdbQi3wf/BoyDAwAAzPfZFZmVvXr+u8jwp9IkFZKKbIZ8SlmaUCw0oRvJkChfKtIBAN0V9Mso1RmVWRQZiuOYAQV1RR9KE9Xl1cyqzbIL8otohfoGOlbq5nFFCWXFrO6Vhmpy9C8V6QKxwIjeXY5ETWGlIwhirmYy5q0zUQJwL2gcHAzJzMzU1NTU1+8aY0u4AcbBAQCAxzfDbeUdKupq1S3oAIAjcWdGKAyzeGPN40gQhFhEZZEIJAGPAAAola2RIBIRnygkimv61cWxEu58eailqLEoYzGroO6zZlqSOMVK3fyfL48U0pQVCtU4MiIuR4IgxGLZSgqRIuABAAj51HIGYDC08CkuODhY8ubNG+lZo52crwZYLBanp6fXWyjkzz//dHV1NTMza3fF/kNubu7Tp087Vodfgby8PHRm5K9DXV2dv7+/t6+3dKCyrJJWd7X+wxt58uvNXpii7jrFzBUAAEYCK9B9JOgHww8M3w6GN5WvUCjEZC3o5ORkCwsLaU+Ta9euaWlpjRgxovXCsSUlJQWvyO0AutnML0VGRkZcXFwXsr6gngEeMWKEurr6tGnTpk2bJicnFxkZuWPHDldX1w7UDwBgZWUVEhIivcxyy5BIJJhsfyEWizHZwBnOwMbEQw8rlSQSya9mgLOyssrLy729veuFnxjd3EXQOpwVK1bk5OS4u7tPmzbN0NAwOjp606ZNx48f72i96jNw4MBbt259/PixNUI6Z60hEAidSiUNDQ09Pb3Wy+lCREdH6+npNVzev7ODSFFUVDRs2DA0ikgk+vv7I+1CeXm5mppaw3A2m42JfLFYXFtbi4mompoaTOQIBAIej4eJKKxU4nA4QqEQE1FYqYSVnEYfgOLi4tTUVIFA0DD95U/Xk8tT21QlrB4ALpc7Z84c6Urt5eUFVzhvfyIjIx0dHRuGY1VofD6/s9Wauro6kUiEiajOVmtEIlFdXR0mojB8APh8fr3AwsLC5OTkjlKpNQ/A1x6hWCweOXKkmpra/fv3s7Oznz175urqunv37tzc3HZrDeDgtCePHj0yMTGB+1wVvaoQ1YnRqMeZEcnlqR2n2g8wa9aszMzMv//+OzU1NT4+fsmSJZcvX37z5k1H64WD0x4gCBISEtJFh+6+DkFnZmbW1NTcunULjtMaGBiMGDFi6tSpT548wVePw/nJKC0tvX///pIlS/49RwDzbpGsqoxqz38/7lp2MzdQ7gKDeAiCBAcHFxYWoltknj17lsFg3Llzx94e32cJ5yfn/fv3hYWFXddCfe0Ba2pqVlZWFhYWoiECgSArK0tbW7sjFMPBaSvS09MrKys9PDzQEOTfL4tf02y1X9eP0bv9zQatlwAAIABJREFUdftRCAQCg8H4/PmzdGBqaipebXF+el69etW9e/fx48d3tCIt52sPWFlZecmSJb169ZoyZYqhoWFNTU1QUJBAIBgyZEhzBJWVlW3dupXNZnt7e9va2qLhIpFoz549CQkJBgYGO3bsUFNTw/4mcHCaTVVVFYfDsbKy+o/XDNyRRCpk56tDriZj+2r1am/9fpxt27Y5OTm5ublZWloKBIKIiIjExMQ9e/Y051o+n+/j45ORkTF//ny4HRBKRETEmTNndHV1d+/eraioWFVV5ePjk5WV1atXLx8fHzhuj4PTUVRVVcnJydHp9I5WpFX8xyv40KFD+/btY7FYQUFBiYmJs2bNiouLU1RUbI6gRYsWzZgx4/DhwwsWLODz+Wj4tWvXioqKHjx4YG1tvXPnTozVx8H5Qa5evWpjY9OorylBqjZ8KkvOZxc2TNMJWbhwIdyUPjQ0NCYmZtCgQR8/fjQ2Nm7OtTt37tTR0bl69erevXuzs7PR8PLy8nXr1l24cKFfv34bNmwAAOzfv9/Y2PjBgwdsNvvy5cttcic4OM2Dy+XeuXNHuqfXRfnPQhwkEmnZsmUtWMFLJBJ9+fJl+PDhAABbW9uYmBhHR0cYpaysTCaTCQQChUJRVlbGRGkcnBaQm5v74cOH1atXN4xquCenk9GInt16tIdaWDBp0qRGd078LkFBQbGxsfLy8u7u7iEhIStWrIDh4eHh48ePV1FRmTFjBmw3KykpwYpMJpMx2cQNB6dlvHnzhkwmL168uKMVwQBsVsKqqKhAfUA0NDRKSkrQqLFjxx45cmTIkCGlpaXh4eHfkiASiaqqqgwNDdGQOXPmbNiwATrBt15DiUTC4/EwWfegtra29ULA/9dhgNtbthKsVOJyuRQKhUzG4KnASiWs5KSmphIIhHHjxrHZ7IaxiBABAHC4XBL734dthpEbAKDRxG39AMjIyLTDVhCQuro6uEeyhoZGWloaGl5aWqqhoQEAIJFIYrEYQZCFCxeOHDnyxo0bQqFw165d3xJYWFgYGxsrXZF37drl5uaGVaHBOWOdrdYIBAJM5u92tlojFosFAoFYLP5+0u+BlUpRUVGWlpaqqqqN1s0OUelbDwCVSv3ulxpsDLCKigp6M2w2W3pc/tChQzNmzFixYkVcXNzKlSsfPnzYuB5ksrKy8rNnX9em19bWplKpBAKhmWPgTSORSMhkcvP3Y28aTHoA8P2L1asWE5XIZDJWBhhgpBImcrhcLpfL7d2797dEifkSAICCgryS0r9PyILgVR695w7WaXy/3k74ALQMGRkZkUhEJpNramqkq62KikpBQQE8JhKJBAJhzZo1/v7+jo6Of/311549e/bvb3yhEm1t7d69e//999/wlEAg6Ovrw3cTVvuxIwjSqWoNiURq8X7sDek8tQYAIBaL+Xy+vLx860UBjCoylUplMBgyMjKdRCXQugcAm92QqFSqkpJSbm6uUCiMiYmxtbUVCARv374FAHA4HFhYMjIyXC63KVWIRCMpqFQqJrrh/OIgCHL69Gl7e/vvr4Mm5ZXF4lZV82vaVLHOgL29PVwbMjw8HLpbvn79GgDg4ODw9OlTBEHevn1rZWUFAOByuWhF5vF4TciUlZVFa7GhoSFWlgnnF6e8vPzmzZsODg4drQiWYLYZw6lTpxYtWgRbyqqqqmVlZbt37w4KCvLy8lq4cOHDhw9rampav5wkDs4PkZqaymQyvb29m/760HAakkfvObZaNm2tXoeze/fuZcuWnThxon///v369QMArF+/Pjo62tTU1MXFZdy4cQCAU6dOAQB27drl7e2tqKgoFArPnTvXwXrj/GI8ffpUU1Nz/vz5mHx96DxgZoBtbW2fPHmCnqqrqwcFBQEAGAxGaGgoVrng4DSfL1++KCsrOzk5fT9pg2lIg3T606m0ttKs06Cjo1Pvq1B0dDQ8WL9+/fr169HwPn36REREtKtyODgAAADi4uIGDBjwU/rwfh2Ue/DggfTSBC4uLtHR0VOmTIEjyTg4XQuxWJybm8tgMJqzAweRQpRRJlMUvw6WLg5d8yo/pi0VxIbExMSRI0eijopeXl6BgYG///77jRs3OlYxHBxMEIvFLBbrp7S+QNoA9+rVKyAgAPpSZWZmPnnyxNraOikpqfXOZjg47QyXyz1+/PiYMWOauUcNkUwYsMNcTv2ra49ALBBJRG2mIGaYm5snJCTALYaEQuGVK1esrKwyMzNLS0s7WjUcnNaSlZV18+bNZg1idU2+GmBDQ8Pu3bvDUabg4GBHR0dM3I9xcNqZT58+JSQkrFu3rjVCdg3ZZKfdDyuV2g4ymTxy5MiQkBAAwKtXr+Tl5W1sfv5P1zi/AiEhIUQisevtMPgj/Gd0ztnZGX6vDQ0NdXZ27iCVcHBaTmpqqrq6+uDBg1spR5YkSyJ2DffdetUWk41pcXA6lsTExP79+xsYGHS0Im1LfQMcHBzM5XJfvHiBG2CcrkhSUpKWllYLjJCg5j8DzusjtscVvsNOrzZk3LhxMTExFRUVjx8/xqstzk8AgiBpaWnq6uodrUib8x8D7OjoWFlZefr0aU1NTXNz847SCQenBZSXl58+fXry5MktsL6iOnHczi/c0q9rmBMJRBIRszkCbQqDwbC0tLx8+fKXL19GjRrV0erg4LSKDx8+PHz4cPLkyR2tSHvwn1eMrKzs8OHDd+/ePWvWrI5SCAenBbx7905WVhZdyvhHkYgRgACJ+OuipxfHHddU6DINcGdn5927dw8aNIhG+/mnTuH8xAQFBQ0ZMqR37y6wEygm1J+h4eTkVF1dDSfg4+B0CTIzM9XV1eGCTS1DRoncc5GBvOZXL+j3JZ/rhBwstGsPnJ2d8WqL09XJzMy0sbHp6jsM/hD1DbCbm9vGjRuHDRsGTz08PH76z+A4XZ03b97o6+u3SgQBqFoqEYhfx64PxZ78XJbcWs3ai8GDB2/atMnd3R2eurm5wWWtcHC6CjweD24b39GKtCv1v3Jpa2v7+vqip97e3u2rDw7OD5CZmfnmzZvZs2djLlmBoqAk02U23SOTydK7I7RFgeDgtB2RkZEEAmHq1KkdrUh70zXcTHBwGhIbG8tgMNrI2NyfEkDuItOQcHC6NEFBQWPHju3YbcE6Cmx2Q8LBaWeKioqUlZVbO/L8f8Q8SfLFHBHv676nZ99fLueyMBGOg4PzLYqKikxNTX9N6wtwA4zTFUEQJDg42MLCAiuBAraQlcQWsv81wCKJ+NaXB1lVOVjJx8HBaQiLxXrz5g2GFbnLgQ9B43QxPn78mJubu3jxYiyFIgBIbYZEJBDNVE3U5bthmQUODo4UDx8+1NfXnzJlSkcr0pE0YoARBKmpqVFRUWl/bXBwmubNmzdmZmaYL3f872ZCXw0w4ZzzEWyzaAeqq6uVlZXxpShxOj/BwcHjx49vzk5lPzf/uf+ioqLp06fLy8v37NkTAFBRUWFvb8/j8TpINxyc/1BVVSUrK6umpoa9aAnsAqNnkg0RO4pqS7DPqA2oq6vz8vJSUVGh0WiVlZUSiWTs2LFpaWkdrRcOTuNUVVVpaWnh1hfUM8DTpk0jk8nPnz+Hp2pqakQi8eXLl82UFRYW5ufnl5+fLx3IZDLP/Z87d+5gojTOLwifz79165atrW1bCP+3A/z/viNfLIgrSijhlLVFXpizfv36Dx8+hIaG6unpAQCIRKKhoeGjR4+aeXlcXNyJEyeSkpLqhbPZ7IsXL/79998ikQgAEB8fj1bkZ8+eYXsLOL8OOTk5L168aKOK3OX4aoALCwtTU1OvXLkiPb5nZmaWmZnZHEHnz5+/efOmgYHBxIkT4abC9YiLiwsKCmq9xji/INHR0bGxsUuWLGmrDP47BC1LkhnV3VFXkdFW2WHKrVu3rl27NnjwYBkZGRhibm7ezGobFRW1bds2c3PzpUuXpqamSkdNnTqVTCbn5eWtWrVKOvzevXsJCQlYKY/zS3Hz5k2JRDJx4sSOVqSz8PUbMI/HU1BQIJPJQqEQDaysrGzmx+CzZ8+GhYWpqam9efPm4cOHM2fOhOHGxsbGxsYAgKdPn3p6emKqPM4vwZs3b6ysrJSVldsuC6SBE9Y2+66xBI1EIhEIBPUqafOr7YULF7Zs2TJ06NDy8vKAgIA9e/bAcDiCPW/ePABAz549+Xx+v3794Opafn5++EIfOC3g+fPnbhPdePmiqv+xd95hUVxfH7+zHZbeWaQ3UUAURbFhwYKiaGzR2HvXJGrUGFuiP/GNxhp7RyNqYkeNvaDYkSIoXXpZWLaXKe8fY5YVKQs7y67rfB4fn907M2e+O9w7Z+aWczJE5p7GysBzkjKZjKdo4EBjBxbD7KOrgqVIVZ6gCC4xdma0tWldJa3O5uWyuSYOdPtKSRVXUmVlZGFtZFUiLBXIRfZsOzOmSV51Aewga+3gbUQzSipLQaqBG+ZKNacki1MspOYBtm144ur3yXlsupGTiWOVlFchrrRgmdka25SKyvkygR3bxpJtXmxWLIRFvlZebIZxYvJbWIS09fOmmVCTy9NgORzs1MxZKTUO2N3dXSwWX758uV+/fnhJYmLi9evXo6Oj1TFUWVmJD855eHjk5ubW2srlclNSUnr27Fnf4TAMi0SiadOmKUt69eo1YsQIsVhMyFABiqISiYSQ+SkSiYRKJSBEg0KhQFEUQZDGd20pSRKJhE6n02gEzI0nSlJVVZVIJKLRaGKxRpGZG64AUokMACCRSmG6AgAgQ+TTbi6O7v6LU10vwdquAHQ6nU6nq2mEQqF07Nhx165dy5cvx39dSUnJ4cOHd+/erc7hubm5bm5uAAAPD4+rV6+qlru7u+OfORxOUVER/vXJkyceHh6OjvX2DXC53Pfv36s25HHjxoWGhhJ10eRyOYZhetVqxGIxgiBENUC9soMgiEwma3w/NaiqqoJhWFQiTdtbAADwnckxbvVx7W9GbLEgR9LAsfbdzJ0iPs78KH1ZVXi5SkqVrwneeHzQ7vOZV2NTL/2ctLICwS1QigG/GPDxzx9ABQAVGISd8jg9qG+Yr5XXj3dWD8/+RsKFUBfFattNDCr96IBdj54/d7juJgeyKpCLH1gKhKUA78el5IPKQlrVzsAdRVDx/KBpHe2DCk9WWsgtE7ulg46Kn+M3UAD1QPhWBxO7WrIZDEaj99KazRAE7d69e/To0aGhoTweLzIy8tatWz/++KOXl5cal7dm/Ewul3++qjomJmb8+PEN+D8ajUaj0Tp16qQsCQgIYDKZCoWCkDXaKIqiKEqIqTp/YDOgUCj6JglFUaIcMCGSuFzupUuX5syZo7mehisATMcAAEwmg86kAQBkMjlXUikDdf8EbVeApj4m/v777+Hh4RcuXCgtLZ00adLDhw979+4dGRmpzrEMBgMf4q31o5TlAACFQsFisfDPhw4dmjp1agMGTUxMTE1NVRuyl5cXk8kk6qJBEIRhmF61GgRBmEwmUY8X+vbTAACam0pOTs7Kyho2bBgAoEt07US3/nPd1Ddl19nifat3fdx79oZOAgCmtvtuarvvwLhGjuoKPnbt/Du6Zh7SBcExU1NTAMCIvoNA30YsdAZ/Kj+7bGil/HxrzD9isbjOCqDOq+Mnt9qRI0e2bdv277//dnFxcXBwWLRokfJtuFE8PDwyMjK8vb2TkpKGDx9ea+vx48cvXLjQsAUmkzl79uxahVQqlZCaDUEQUaaIsoOiKK5KfyRR/0MfJMX+33lJEhpk2yvhp3T/2W7mXmy8PP3Yh4o3fLtgC5/vPjaDqnTh24N5GIrVZ4rGonZY5fVREgaerUuXC+DEti+QQPnCjjNGnp/aISM4DPSqRgQTz81VIIro3qunBI51t3St8yfoWwUIDg5OTU09depUenq6qanp+PHjR44cqWa/kb+//5s3bzw8PJKSklTTSbVu3TolJQUAAMNwWVmZnZ0dAEAkEj148GDPnj0NGGQymY6OjtpryFQqFcMwPamiqnb0UJLmdggxdeLEiUGDBnm4eyh4CMuaoaGeEknZxmfb2nH8Hdi13zibij5UgNrvOn5+fqtWrWqGoVWrVk2dOjUkJCQ3NxfPCm5vb19aWgoAeP78uaOjIz5Fk4REHZ49e+Zj60cJplt1YRsbG5u6GCk3uQywtwkyN3ZgKUvM3I1bT3TGsHodMJVJpbGoCryPCgK+450VIuRY5uF+JmEQgH7p9mO1j8AV2NpZW6/tvkyBKgJs/To5ttfizyMaDoezZMmSZhy4YMGCcePGPX369OHDh/gcye7dux89etTLy6tbt26TJk3icrmLFi3Cby5nzpz55ptv1O8eJyF59uxZVFSUmZlZfkJp0dXCzr9qGvSKTqFTIAqDYiCVsMYBIwhy6NChz/eIjIzkcDiNGgoLC7t8+XJRUZGvry/eXBMTE/FNvr6+J06cIEgwieGDIEhlZaUn0wmxRCzasvFuIiXGDkxjh0/6xKhMinVgI1O0UBRVfsZfppc6z+OYOAAAguz8wX8P06FOX14Wv9OnT/P5/FqFXbt2VSdBsoeHx507d7Kzs9evX49Poj5//jyekHXLli3Z2dksFkvZ/IcMGTJ69Gii5ZMYLBKJRCgUfpw+iWAYAQP3wIFtd3boISsjA8kZ/IkD3r9/v/JrZWVlbm6ut7d3+/bt1XHAAAALCwsLCwvlV+VMDa3OXyUxMPLy8h4+fDh+/Pj3pwqANoM6iWEJQsgtQdfExsbm5+fjn4VCYVZWFofDiY6OVscBAwCMjY1V97S1tVV+9vDwUN3TxoaMzUmiLg8fPsQwrE+fPvhXDKtZ5qcJUlh2MfPa5HZjqZAhJCurccAMBuPFixeq2x49erRkyZK2bdu2uCqSr5Tr16/7+vp+XOWCadX/gv893jau7Ygo7wgtnqNFOH/+vOrXrKysMWPGdO3aVVd6SEiOHj06ZswYIyOjT0qJaM5FopLjqWeG+Ay0M4hQ7Q3N1OjevbuzszMZPYOkZUhJSQkODlaufiHqkbk+GFQ6g6rplBA9xNPTc8iQIaq9WSQkLUlKSsrgwYNre1+CmrMpw8SKZcGmGxNgSw9oZMEJl8vVcP0lCYmavH///tNeU+2+Au/sv8mUYaI9+zqEy+USspaMhKSp8Hi8srKyz4c/MIAR0phtjaxjhxxk0A3k0bmmlcIwvGXLFuVXqVT69OnTly9fHj16VAe6SL4mkpKSsrOzv/nmG9VCDAUUbTqRR/lPOzkG2Wu8mEHn7N+/v6qqCv+sUCjS0tLOnTt38+ZN3aoi+Qq5cuUKh8NRjvt+AgYIeZ6ulvF3vz70c7cf6FRDmAhdc4dDUfTWrVvKr0wm08fHZ8uWLS4uLroQRvK1cOXKldDQ0MDAwFrlJk4siKrFN+BDSSchCBrsqe5Kd70lPj6+qKgI/0yj0ZydnW/dutWjRw/dqiL52jh+/PiECRPqDSNT7yLBplEqKr+bH79QPtMwJkJ/MgmLfGomaWGys7MDAgLqzDDYqq8tAEAgEGjp1FYsCyuWIbThY8eO6VoCyddOdnZ2WFhYA0HcMIIGlGyNrdvbBbAZbAJs6QFkRkYSnSGXy1++fOnq6qqTsx8atP1LXPVLQqJv5Ofn5+fnN96QiXDAliyLzWFrmIYyfZIGAAgNDf3w4UN9e5w5c6Zbt24tKInkq+DBgwcIgowaNUpXAna/PDTIq5+7+Zc6wjJ58uQGuqx+/fXXhoM2k5AQQkxMTGhoaFhYWMO7QRRAyIhSmbhidXz0noH/Zxg+mAYA+O2330QiUX17+Pr6tqAekq8CPOmWMsR/nciqFBBNi2PAV7Nu+lh7frkOeO7cubWmrakSEBDQkmJIvk7Onj2rZm5KC39jWx8rzc/IlVRm8XKksNRwHHDfvo1lgiAhIY7i4mIvL6+GvS8AIPtCMcOcZtfPtOHdmk2QvX8rU7VCvOknISEhupZA8lVTXFysZrQ1AACFTjG2IiBBk5OpY5TXQINZQFh7nYdcLs/JyREKhcoSHx+fWsF4SUiaDY/Hi4+PHzlypDo7E5K/uT42hjUn6Yh+giDIhw8fKisrlSXOzs54CiMSEm2QmppaXV3d8gHXzBimc4KmUCADmb30yc+4ceOGq6tr69atO6rw/PlzXYkjMTCuXr2ak5Ojpvf1/MbRub8WXciSO2vecTO1Z7/FSElJCQgI8PDwUG22p0+f1rUuEoNl3759dnZ2Ogl3msvPH3ZhkgyRt/yptUGNA1YoFBMnTty4cWNMTMzs2bN5PN6mTZsiIiJ69uypQ30kBkNcXNzAgQPbt1c3zR/DnE5nazHe+puy1GJRqfbstxhz586NjIx8+fJl9+7dxWLxyZMng4ODJ0yYoGtdJIbJ1atXZ8yYoZq0Qx2E2dL04/man10oF0lhKYzCmpvSB2occG5uLovFmjJlCp1Ol8vl5ubmP/30E4VCuX79ug71kRgGPB7P3t6eqCThhDDMO8LHylPXKjQFRdEXL16sWrWKxWLJ5XIjI6Nx48aFh4fv27dP19JIDJDy8nJnZ2cKpck9wLIKhfCDRHMBXhZuCzvMMMxY0Hj8WFtbW2V2M3t7+wZWKJGQqEN+fv6LFy+GDx+uayGfMDd4KqTVbA8tAgRBGIbRaDRbW9uCggIMwyAIsre3z8jI0LU0EkPj8ePHDAajY8fmrJ43dmbawQSElmXRWB0dgjS3oyfUPMi4ublVV1dXVFQEBwe/fv16+/bthw8fPnv2bLt27dS0VVRUlJ2dXeemvLy8lJQUBDGE9KskTeLs2bMKhaIZ3jf7QnFJQpU2JOGM+Gdycnma9uy3DBAEBQQEvHr1ysbGxtraesWKFWfOnNmxY4f6zbaqqio9PR1F0VrlCIKkpaXxeDxlCYqi79+/f/fuHWHqSb4cdu7cGRQU1DzvCwAwcmS4DCBgSkca9/3kawvkhjIGXPNIQqfTjxw5wufzPTw8jh8/vmrVKh6Pt2LFCjWjcOzbt+/y5cvW1ta2tra///67shxF0UmTJmEYZmVlFR4ePnToUOJ/BIm+cvfu3aFDhzKZzVl+ICqSQlSI3VjCrmZTJeUJ5NqKc9mSbN261cjICIKgmJiY+fPnnz59etCgQWpG4bh9+/a6deuCg4MzMzMvXbqknHaOoujgwYPbtGnz7NmzjRs39uzZk8/njxw50tPTE0GQefPmqe/gSQyAe/fuzZw5s3kNmVhgFMYwjKDA0rrnk7vbkCFD8A8REREREU1IVI4gyB9//JGcnEyn07t06VJSUuLg4IBvOn/+vJ2dnWqeJZKvBIlEQqPRmt9otZuNECzsONPfxk+LJ2gpunfvjn8IDAx88OBBk45dv379iRMnXF1dp0yZcv/+/V69euHlN2/edHV13bp1a0ZGxrx58/79998//vhj7NixU6ZMIVY8iZ6DYVhZWZmFhYU+eF8AgJ+17//1WmsYUTiAqgOWyWTjx4+fNGnSwIEDm5pMtKSkxN7enk6nAwD8/f3T09OVDvjhw4fl5eUjRoyQSqU7duzw9Kx32otMJtu7d6/ya5cuXQICAhAEIaTjGkVRokwRaAdXpVeSKBQKIatvU1JSuFxuREREs4WhCIoR99M+rwBdHDsa04yaYVzbFQCCoCZNcpk+fXqvXr2++eYbY+Mmz0wpKCjAQ/i2a9cuJSVF6YCTk5ODgoIAAN7e3vi40sOHD729vS9evMhisfbu3WthYVGnQalUWlxcrGzIEAQNGDDA2dmZwIuGYZi+tRqiBtf0TRKCINevX/f29sZvxZqYklbKZbnVlm00DaABwwqpQqpvV6lOO+rcS2scLY1Gs7a2njBhAovF+u677yZPnqx+lBOFQqGc4Eqn02UymXKTSCQyMzM7efLkrVu3li9ffvbs2TotwDAMw7DqmmM2m+3j4yOTyXC/riEoispkMkKylMvlctUf2GwUCsXnA2/NgyhJMpmMkGeC2NjYLl26tGvXThNVGIrBMEzUT6tVAVAMnXBl7m/dVgTatGmqKW1XADqd3iQH7OHhsXz58nnz5o0aNWry5MndunVT/xFK2ZlXq9mqtmhcpEgk8vf337Nnz7Zt27Zv375mzZo6DYpEIoFAoNqQvby87OzsiLpocrmcqA5IAlsNAICQGf4EXiVC7OzatWvy5MkmJiaaW6tMEfDfyIw9nTW0k1iSsvpp9MWoE3SNs4VruwIwGIxGPU7NZiqVunfv3m3btl28ePH48eNBQUHt27efNGkS/gdo2IqDg0NxcTH+OTs7293dXbnJzc3N3NwcANC2bdvCwsJ6ddBobDb70KFDtcpRFG3Gc/3noCgKQRAhphAEIcQOfv8lpGOHKEkQBNHpdA0fU549ezZixAjNrzZEoTAYdCMjI21UAARDYBSmM+jNMK5vFWDlypU//fTTrVu3jh8/3r9/fycnp0mTJk2fPl3ZC9UApqam1dXV5ubmOTk5qnEV3NzckpOTAQBcLhdPFunm5tamTRsAQNu2bet7jAYAWFtb+/j4fN6QibpoNBoNwzC9ajUAACaTSYgDJkqS5nYwDHvx4sWMGTOYTCYhkuhUOoWi0NyUiTGbRqGasNlUSNMLrg8VoPaDNovFGjNmzNWrV/Pz87t27bpgwYJnz541aoXFYvXs2TM6Ovr48eMAAB8fn8LCwkWLFgEAxo8fHxsbe+fOnbVr10ZFRTVDIskXhFQqFQgEZmZmBNjCMEDR1iAwFaL+X5+1gbZNfv3VT6hU6oABA06ePFlcXDxjxoxff/31zJkz6hw4ffr0n3766fLly3fv3sWnfeBxyoYMGXL9+vWrV68uW7ZsxowZAIBZs2Zt27btwYMHW7ZsIadSGjwFBQVMJpOYhgwAAAADxEzp8LfxOzHoT829r55Qx7uOWCz+559/jh07dufOna5du6qZrnX37t2xsbESieTcuXMAADMzM7w9u7q6Hj58OC4ubsiQIZGRkcSqJ9En9ArOAAAgAElEQVQr4uPjFQoFUbk9iMrgXR80Cg0ylIiyAAAYhq9fv37s2LHLly97eXnhI7iNsmDBgqtXr+bm5l6+fNnIyAgAMHr0aACAiYnJpUuXLly4MGrUqIEDBwIAevXqxWaz4+PjV69erZMYhCQtxl9//dW5c+fAwEAiF44SNHGZLxc8LEwYbT6MGHM6B/sPFEXv378/ZcoUU1PTVq1arVy58t27d1hLUVFRYW1t/Xm5QCAgxD6CIEKhkBBTfD6fEDtyuVwqlRJiiihJYrFYoVA079hjx46JRCICJb3ekpl3vZSon1arAkhhWVjM0MTSlGaY0rcKkJSU9MMPP9jb21taWs6ZM+fp06ea22w29+7dCwsL+7ycqIsmk8n0rdWIRCIYhgkxRZQkTezs2bNH+RmGYdVGrQmZcfkvo99rbic+72nPmCEIimhuSh8qwCezoAcMGDBkyJCTJ09GREQQMl+J5CshNTV14MCBRA2ofATDtPcGDOED3hrP49AHRo4c6eLisnnz5pEjRxL8JyD5mkBRND09vYEk0xqBAUBE4DlThokF01yredJakpobEIPBKCkpwSdMVVRUWFpa6lXkXhK9hc/nFxcXt23bllizGAa0NwbMoDJODd3naGKvJfstSUJCgqWlJQCAx+PRaDQGw0CWSJK0MBkZGRiGaSmLJVEjSr5WXmeHHjKAILI4NWNgFAoF974AAF9f35ycHB1JIvmSiIuLe//+fXh4OOGWHbtZWfpqK+02BrDHhc+lsFRL9lsS3PsCAKKiouLi4nQrhuQLZd++febm5oQ/Rn8CEU6zTFy+8/VBAgzpB4YzCYWk5Tlx4kRERESzw8M2jEOolYmzkTYsAwAEcuGOF/uzeLlask9C8qWAYdjx48dnzZqlzro1DU5DjAPOrs67nHmDAEP6gSGMgZHohOzs7J49e36hgzEMCt2IxjJlaOsNm4TkiwBBkLy8vD59+mj9TBhGyJ3CwdjOYFYPgvregDdv3tzUfMskXxWFhYV5eXlqLlHTQ1g0Vtzo0y5mrXQthEgWL15M5kggaRKvXr1SKBStWmm9IVCNqDQ2Ae97buYuv/dap7kdPeHjFcnJyYmOjs7Ly/P19V25cuW0adN0K4tEf8HAjmV72jgHujn63j30vErKM2eZu1m2euqRUCQr7tqqU2dO8IVjtzAB8O3i5hLoeOjNSQxgI4yjeG9E2bw8CkTxs/apklYXCYsZVEZra+9CQTFXUsm2NBowrnts2oV8fmEnqw6tklxTy97l+WSHeAX5s/z2Jx5HMXRsm28wDPvr7T80Cm1G0IRsXu6N7LsmDPas9pPuf3j8ojjRxcxptN+wv99dyeHlBdn7h7uFHXhzolrK7+vW09fSc0/SEUCBRrUeyqKxYlLPwig8r8M0EwZb1xe0+VRVVW3cuDElJcXJyWnJkiX6lnGZRM/ZunXrzJkzGw10SAg2nU3d+hBwouzqvL2JR7f126C5KX2ABgAQiUTdunVjs9kdOnQ4d+7c7du3ExMTySnQJHUS+9eZDkgPcxobFiOYFGBSgGEYYoTKYJlALlQgMAAAkaEUGRVBUAxgYoUEBSgKY4gEA1IIQBAsQVAZhkkBoAJYjGASDJMCRI4BAKSwTCAXIgiMSFEgA2K5BMVQFEPFCgmCwgiKYACIFWIqhYZhGIKhArmQAlEAAApUIZALpYgMACBH5AK5UIEoAAAShVQgF+IHSmApCmG4QZFcRKXQvtD+cxwMwyIjI7Oysnr27Pn48ePQ0NDMzEw8bCQJScMgCHLx4sUffvihJU8KEbGooVhYklzxVnM7+gKGYWfPnvXw8JBIJBiG4QuQEhISCFmhrD5kIA5NaLFAHEVFRcmvkh9+n1ydLcqrzj+SdErbkrQUiEMT9KQCpKWlGRkZFRQUYBimUCgCAwMPHjxIiDBNIANxaELLtBqFQpGXl5ebm9uoHQIDcRD103IrP2xN2NP4fmqgDxWAAgDIz88PDQ1lsVgAAGtr63bt2n348EHXDwYkekdaWlpWVlZrHz8AAASB5PK0C++v6VrU10t+fr6Pj4+TkxMAgEaj9ezZk2y2JOpw//59GIZbeAIHhmKonIDkb45s+3ntp2puR0+gAAAUCoXq4n0Gg6FQKHQniUQfOXDggJWVVffu3TE8GRwEObDtvK08dK3r6+XzZgvDsA71kHwRbNy4sVevXh4eLd1yy58I3h4m4AExqTx1Qtxcze3oCR8nYV26dEm5mjMjIyMjI2Pr1q341z179nTq1Ek36kj0g6tXr06bNg1PUktlUFg2DLopNdiqXbADOedWl7x9+1bZbAsKCiAIunHj4xLJJUuWfPvtt7qTRqJ3KBSKO3fuLF++vEnZpokClaGEvAHzZHyerFpzO3oCDQDQuXPn6dOnK4tqRTWysrJqaVEk+kRFRUWrVq2UjZbCoHRc6QMASCpLjcu+vbzLQp2q+3rx9PScP39+fVtdXFxaUgyJngPDcFFRUevWrXXifQEAVkEmtLYEBEkNsPGbGThRczt6Ag0AEBYWFhYWpmslJPpIQkIChUIJCQn5fFMWL/dVSVLLSyLB8fX13bRpk65VkHwZXLp0KSQkpAXW+9YHw4pmakrAkj9zpnk3p86a29ETyFCUJPWye/duf3//Or0vAMDXyquXC5kXloRE34mOjv7mm2906H0J5EnR81n/tujqKa1ChqIkqZt79+5Nnz6dyWR+vknKlbOsGW1sfNvY+La8MBISEjWRy+XPnz9fvHixroUQhgJVwBiiaxWEQdgbcGFh4ZAhQwYNGrR27VrV8vLy8oCAgH79+vXr1+/u3btEnY5Eq5SXl5ubm9fpfeXVihcb3ksr5HfyHv54Z3XLayMhEJFINH78+MjIyOnTp8vlctVN58+f79evX3h4+MOHDwEA8fHxwcHBeEMmU6V9EcAwnJeX5+LiUmdDbmEEGZKiB1zN7YQ4dFgTulRzO3oCBQCQkpJSq+01g19++WXevHlxcXGvXr16+fKlshxBEBcXl5s3b968ebN3794anoWkBbhx40ZxcXH79u3r3IoiGAAAw7ByMbdMVN6y0khqyMzMrK7WdDro3r17g4KCrly5Ymdn99dffynLJRLJ6tWrL168+Ndffy1cuBDDMIlEEh4ejjdkd3d3Dc9L0gLExMRYWFg4OzvrWggAAAhypNxkvuZ2KBDEpBpOxmsKAGDo0KFFRUUymSw0NLTZhh4/ftyvXz8AwIABA/BHZiVv376dPHnyjh07GnbzKIpmqyCVGkKu1i+O3bt3h4eHBwYG1rcDy5LhP9vNyIYZwukwxo8MPqwzfvjhB7yh9enTh8fjNc/Io0ePBg4cCD5rtqmpqf7+/sbGxra2tiYmJqWlpQCAW7duTZ069eTJkx/XgteDVCpVtuLc3FxydXLLg6Lojh07Jk+erEc5dQhKR/i46Pkv8YYz95AGALCyssrOznZwcNAkko5cLsfDR5uZmWVmZirLzczMTp8+7eDgsG3btl9++SU6OrrOw2EY5vP5ffv2VZZMmDBh6dKleCC0ZqtSgqKoVCpFUQIWogmFQs2NAAAUCgWKopr3PQCCJGEYlpCQMHz4cLFY3PCeVEcgEAqsIPNO1kECgUB7kgi08wVVAAaDoU6fId5sAQD5+fnN/l08Hg+PxW9mZqbqxXk8nqmpKf4Z3+Tv73/kyBE2m/3DDz8gCDJxYt1LQYqKit68eaPakNevXz9s2DCiLppcLscwTH9aDQBAIpEo734aQogkqVSanJw8cuTI+tqm+iAIIpfLEYSAMVeFXIEgmOaSZFIZBUCa2wHarwAsFotOpzd8LA0AMG3atIEDB7LZbD6f//mq34sXL/bo0aNREWw2WywWGxsbl5WVqSZ2NjY27ty5MwBg2bJlDWRrodFoFhYWn48tQRBESLIOFEVpNBqbTUzqG+W9SRPw+y9RwzOaSyosLDQ3N+dwODSaWlPz/n53+U7ew939N2tPEoF2DK8CTJgwITIycu3atdXV1Z6enrUSS2zatGnmzJmNGrGzsysvL3dzcysrK7O3t69Vjn8uLS21t7e3tLTE2/X8+fPPnDlTnwPmcDidO3e+d+/e55sIuWi4A9afVgMAoFKpTCaTqOw1GkpCECQnJ6dVq1YcDkdzMQiCyGQyY2NjzU3R6ZWAhmp+wft79w5u1U6v7i2aVAAaAGDOnDn9+/dPTEycMWPGvn37au3h66vWTNfBgwcfOXJkypQpZ8+ejY2NBQDs2LFj4cKFeXl5VCrVzs7u8OHDHTp0aIZEkhYgNja2Q4cODfQ8f45EIZXBBLyIkDSPvn37ZmVlJSUlTZkyZePGjbWeU4OCgtQxMmTIkKNHj7Zr1+7YsWO4Tz158uTAgQP9/f1zcnJycnKqqqpMTEwsLS3T0tLs7e0ZDMbJkyfxR2oSPWT37t1TpkzRtYo6wDBASB90tUyQUpHeysJJc1P6wMd3HU9PT1dX15KSklGjRjXP0Nq1a9esWTNx4sRVq1bhYb4zMjLAfylLhUJhcHBwff3PJLpl7969s2fPBgBIJJJGd1YI4XcxBX5TXfp79Pa389O+OpJ64XA4HA5n3bp1Y8eOxZOpNJXvvvuurKxszJgxAwcOxAeDP3z4IJfLKRTKyZMnV69eTaPRYmJiAAA5OTkrVqxAEKRv377qvFuTtDByuTwmJmbhwoUAAEJ6aImHiDHg5yWvDyadGOjVt/FdvwSgWiOsXC732rVrHz58sLOzCwsL8/b2bhkdXC7X19e3oqKiVrlQKCSqC1oikRDSAykQCPShB5IQSRiGpaWl2djY2NnZAQAkEgmdTm+4C1pYKE3ckhmyxldqJOXLBK1M6+7pIuoqEWXHsCuAVCq9cuVKVlaWqalpSEiIMkB0y3P//v01a9Z83gVN1EUjsAuaKElisZioLuhmSxKLxQUFBba2tpaWlprYqQWBXdDpsXkwD/Of5aahnbs5Dw8ln4oZukdzSfpQAT651V66dGny5Ml0Ot3d3b2iomLOnDm//PLL6tXkWk+DJTMzE0EQ3Puqy3/ZkM6/u/qs+FUDY8AkLUNiYmJUVBSfz/f29haJRAsWLBg3btzRo0eJGpUk0X9ev37t5eWFe1/9BMMARMQbcDenzp0ddfZ8STg1gThQFJ06derKlSuLiooSEhIyMzOvXbu2efPm1NRUHeoj0R4HDhwwMTEJCAho2mEoAABAEMAARoHIW7zuWbhw4cCBAwsLC589e5aampqcnHzv3r1z587pWhdJSyDlytf/8mvnzp2Vc+hExVJJsRxDa7o25XxYWCBp4B8srpnnjMKYsEAiKZMpSzCApWdmp73NEhSIeR+Eb99mZL7LExZIynOrUt++/5BRKCyQcIW8d5WZVVIeAKC4vCz17Xselw8AyOcXvqvMVMAKRIKIFZLMqmwUw2AUeV+ZlVudDwCQwNJ3lZnFwlIAQLWM/64ykyupAgCUiyveVWYK5EIAQKGg+F1lpgyRAwBelyWfTj+v/evaQtS8AWdlZRkbGy9ZskRZEh4eHhUV9fTp07Zt2+pCG4m2wDDs+PHjM2bMaNaxAAAAIDCqddRADwMZiflyQVH0xYsXly9fVvYTtmnTZu7cuU+fPh0zZoxutZFoG7FIvHXq3kGdxyiHjaQV8te/ZwIMMOeyzL0+Dri8P1nAy2hoyY19Z0vvMR+nNZW/5mX8VUihQZ1/8wNUAAB4X5ZVtFfAQOlckP3fEbIS8HGYuQrIP4Cq5A6vT0Nnu3A6RvdeHXf0gW9x6wLbt72WdZhydaECVaxw/9Ek2TrJKik27vTu/pu5ksrVDzdRIMr5EccuZVw/9OakJcviwojjO14cuJV7P8g+YHv4hhX3fsuoyo7yjljcada0uEUSWLqw48xQp44/3V/vbOY0NWgc4RdTJ9Q4YHNz8+rqanwpkbKwpKTE3NxcF8JItAWKorm5uX369Gnm8fh0RgpUKaniSiod2E3pviYhGgqFYmpqWlxcrNpOS0pKyCyiBo9IJCouKu7g1NljmKOykGXDCN3QRiAQmNvWTHdoM8MVVTS0UpzKqOkKte9oae1vBlEhKoOCIMid/Ec5wrxJ68YCBBjTjQAAQrmIRqGxaEwUQ8UKCZ1KZ1IZnRmtxyPDWTQWAOC7RUOkEhnb2JhOpV0ZdVKBwiYMdrUPP8jEfRJ1GJtuDAC4MuoUjUIzorHGtx093GcwnUIHAKwIXby40ywWlQkA+HPAZhkiN6YbUSDKhRHHcSMQgC4MO06jGE7HW40DtrOza9269eDBg1evXu3p6VlRUXHgwIGXL1/27NlTh/pICOf169fGxsYeHh7NO1z5Bnw162YaN2O7fRN7sEmIJjIycsSIERs3bmzXrp1IJLpw4cK+ffsePXqka10k2uXhw4fB7YPNWFIK9ZPBVSqLQlV8EuSfQoMoNLWdFgRoRjU751Z/eF+dbcaumQlrYWSmPBUD1ASaoFM/7sNiMFmMj7PkWLSPs/OpTIoJq+aZwJTxcWcKBCk/0yhU5WcGlcH4L+Sk0ggAHx8CDIZPJmGdP39+0aJF4eHheGCdkJCQGzdu6FEwMxKN+eOPP6ZPn67J3D98bAmCICMai21YjeELZceOHcuXLx89ejQeH8rT0/P06dM6nAhN0gKsX79+9erVKIwBUErI8p76CLLzdzR3aHw/kmbxiQPmcDhnz56VyWT4jHYzM7P6DiP54kBR9Pz5899//72mhv57A57gP1qBkmF+dQ+bzd65c+cff/xRUFBgYmJiY2Oja0UkWkQgEMTHx3+yOEWbDriDXSAhy5BI6qSOdIRMJtPT05P0voYEgiAFBQXBwcGam/pvFRJ4U5b6qOCp5gZJCIFGo7m5uZHe17ARCoWlpaUhISEfvysHhLTGuYzLax6SAZS0BWH5gEn0mfv378vlcjc3NwJs4W2eAj3If3w96zYBBklISNQjLi7OxsZGOcNO+TSsPaqkvGoZAWkESepErbD7JF80mzZtWrJkiZopFhrF2J7p0MWSQoUc2PaN701CQkIEGIZt3Ljx559//rQUAKDdLuhezt06YWQMf21BOmBDBobh27dvL1u2jEIhrKuDYU73Gu0EABjjN4womyQkJA3A4/FSUlJWrFjR8qd2NnGisUg3oS1q7sswDKtm5Cb50oFhuLCw0NfXF/e+KIzBEgSoRv7GACxBVP8hUlT1Kwp/EicckaEikUQgF2IAAwBcz75zJv1ii/4kkrp48OABIRlbSfQTfNzX39+/jsdo7XdBn0r/+3+Pt2vxBF83NY82KIoOGDDA3d195syZEydO1OewoiTqsH/ZsZ5Du/n3ao1/ff1/mZJyWas+tm6RH7uOC+9V5FwuacACw5wesuZjMkp5teL5r+8xFDvhdTysV+cB7n2iE3aEuXTV6k8gUYeFCxdWVFRMmzZt+vTpzs7OupZDQjCxsbHffvttnXlEqEwKp4e1kX1zEmGpiQJTIBj5eKctahwwg8EoLi6OjY39888/f/rpp6FDh86cObNv376QVp+vSLRDdHR0X+vhVhRrZUnbWa6wGGFZM5QlDl2tzL0/adUymYxGoymD+Kuux2eY0yXfch2NHX6wneli2cqIxjo8aLu1ERluSfc8ffr00qVL+/fv37BhQ+/evWfOnDl8+HCihvxJdIhUKt23b9+iRYvq3QMCHsMd691KBMM8ByHUhqJokWjCJ30a5ubmM2fOTExMvHPnjrGxcVRUVGBg4K5du/Q0uyRJXSgUivj4+MWLFwMMQCp/XpYVw6SVkapPpTIpJq2MVP8Zc5hsJ5byq6q3xgD227stAgu+r62XEY0FAHC3cDVjEpDMi0RDmEzmqFGjbt68mZycHBAQMGfOHA8Pj/Xr15eUNNS9QaLnVFZWpqenz5kzR7cyKBCFQaU3vh9Js6h7bk7r1q2DgoI4HE5xcfGuXbtcXFxiY2NbWBlJM4BhOC8vz9nZmclkYkQlAPsPIzrLhE5AbmYSLeHm5hYUFITHkT1//rybm9vGjRt1LYqkOUgkkg8fPnh4eDAYjMb31ibnMi7teXVUtxoMmNoO+OHDhxMmTHBycoqNjV21alVBQUFaWtqmTZtmz56NYVidJnAKCgpmz549c+bMDx8+fL710aNHy5YtI1I4SV2cOnXK1NTUxcUFAAAI9b8QgC6OOOFv25owiyTEkZqaumjRIicnp40bN3777beFhYWvX7++evXqunXr8vPzGzhQJBItW7Zs0qRJz58/r7UpLi5u3Lhx//vf/1RneJ05c2bbtm1a+Q0kKuzbt69t27aNR0PCQPGjyoYTLWgIFaIaUvIDvQP7D7lc3qZNGzabPWPGjFevXmEqoCjKYDAkEglWP927d3/27Nnr169DQ0NrbRIIBN98842rq2sDh1dUVFhbW39eLhAIGjhKfRAEEQqFhJji8/mE2JHL5VKplBBTfD4fRdFt27apFj5dk1b8pLJJdsRisUKhqHMTiqF7Xx2tkvLUl9SkU2vbjgFXgGHDhtFotBEjRty6dQtFUdVN7du3f/78eQPHTps2LSYmprCwMDAwULWtvX//vmvXrlVVVevWrYuOjsYLs7Ky+vbt269fvwYM3rt3Lyws7PNyoi6aTCYjsNUQYkckEsEwTIgpPp/P4/EOHz6s5v5ygeLh98n8PPHndgjRA8NweXUFT1qtuSkCK4BMJiPElD5UgE/egOfMmVNYWLh///727durlkMQJJPJWKx659oVFBQAADp16hQUFGRsbJyTk6O6ddWqVStXriRwKSpJLWQyWVJS0pQpU1QLie2BlsHyU2//zuHV0b1BolsiIiLy8vLOnTv3+ZTJV69eNZyV4d69e+PGjeNwOL179757966y/NKlS+PGjbOwsJgzZ8758+cBABiGrVy5ct26dVr6FSQAgIqKipKSkm+//VbN/Sl0CoVBoRlp8dZaKCjO5uVpz/5XzidTJZOTk2tl/12/fv0333zj7+/fsJXS0lJ7+4+LWxwcHIqLi93d3fGvT548MTIyajQKMQzDPB5PeRQAYPr06YsWLRKJRGr+koZBURR/cNbclEgkImRmuEKhQFFUoVBoaAdBkJSUFEdHRwqFIhTWpN3GUEwml6mWNIpEIqHT6XVOoEUwxMXUyQhjqWmQqKtElJ0vqAIwGIwmjfylpKSMG/dJfvIjR444ODhEREQ0fKBcLqfRaPhvcXBwUJ20VVJS0rlzZwCAjY1NWVkZAGD//v2DBg2ys2sk/XNRUdGzZ8+UDZlCoWzYsCEyMpKoiyaXyzEM07zVAOL+jni/kXLtQLNBECQpKSk0NBTvrVHzqICVzghFIRR+ckGI+mkIglzKuC5ERN5s98b3bhACKwAAgJChcW1XABaL1ehihJrNCIJcuXKl1uY7d+6EhYU1qsDMzExZY4RCoaoXX7x48dixY/fv3y8QCM6dOzdy5Mi6ddBoZmZmt2/XxBa2tbU1MTEBAOD/awiKolQqtc61dE0FwzBCJOH3XyaTqaGdXbt2DR8+3MnJqfYGDLCMWE2SSqVS63PAAIATQ/eob4qoq0SUHQOuANeuXVu7dq1qycuXL/38/Bo9kMFgKMd3hUKhaopoMzMz/NlXIpGYmJhIJJItW7YsWbIkNja2oKDg9u3bffv2rdMmh8MJDAw8deqUssTJyQmfEkjIRcMdsOYXDRD3d6RQKEwmU3MHvGHDhoULF2qSKlQJUT8NQRALY3M6ytDcGoEVABDkgPWhAtAAAAqFIikpSS6XKxSKly9fKrfx+fzU1FQOh9OoFXd394KCAoFAQKVSs7KyvL29RSJRQUGBr6/vL7/8IpFIcJUNzymgUCjNzhL/daJQKI4fPz5//vy614lhRAaJhVFk1YMNS0Lm2RhbN743SYvw5s0bGIZlMtmbN2+UjUsmk8XHx9fnIGvh4uLy7t07Hx+f+/fvz5gxA8OwN2/eBAUFde3a9fjx45MmTbpz507Xrl2pVOqGDRsAAFKplE6nN3zbYrFYZENuEhUVFffu3fv555/1cMHnVP9xRkZk2m9tQQMAlJeXKweKVEeM2Gz2xIkTvb29G7dCo23atGno0KEAgF9//ZXBYKSnp2/ZsuXYsWORkZH4Prt27erfvz/xv+BrRSKR5OfnDx8+vL4dMAwjcAxYrBA/KXxRKi4nHbD+0KdPn8rKSvyDspDJZPbp06fR/mecrVu3zp07l0KhDBs2zNXVVSaTzZ49OyEhoU+fPhcuXBg8eDCKogcPHmQwGKNGjQIA5Obmvnz5Eu+dJiGE0tJSsVg8ePDg5h2OyFEqQ4tjwE+KXkA0qK9bT+2d4muGBgDgcDgYhslksvbt2799+7Z5hiIjI5W+FgAQGBh47Ngx1R3u37+viVCSWrx+/drDw0OZmOxzHLtZm7oQlknbmG7cwznUkcyApE9wuVwAQHBw8K1bt5oXO7Zdu3aq4z5MJjMhIQEAAEHQzp07P9/fzc2tVrsm0ZBXr1716tWreW+ZsAh5ujY9eLm3aswcYnlS/BwGCOmAtUTNoxOTyWy29yVpYf73v/916tTJwcGhgX3cBtuzbAhrljQK9beeK6yMyAjhesfLly/JyO1fIhiGrV+/PiIiotl9vIgcxRAMkWtxHbCrmbO7hYv27H/l0AAAu3fv5vF49e0xfvx4V1fXFpRE0hASieTy5cstn5hMrJBMi1u0LXyDPdu2hU9NUidnzpzJyMiob+uAAQMaXoBEoluKi4uTk5NXr16tuSmtBusf6T3E2JiwjjSSWtAAAC9evGggbGxkZCTpgPUEsVhcXFys5vwaYhEpREXCEoFcQDpgPSEtLQ3vLq6TgICAlhRD0iRKS0slEknPnpr2635cVqfNfDkXs67T6LRRrYdq7xRfMzQAwJEjR3Qtg0QtHjx4EBwcbG2t1jSo0mdV1gFmqtkXNMGSZTm+7chWpo1PiSdpGdasWaNrCSTN5P79+8OGDSNgLQ2+rF2br8DvKp0gE+0AACAASURBVDMpNDKGkrYgr+wXw/r16wcOHGhrq+4LaEZsIT9HTNTZaRTquLYjWTQtZh4lITF4pFJpdHT06NGjCcyyoNWEsR3sAzs5BGnxBF83NADAiBEjAgICVq5cWWfMjV27djUax4pEqwiFwgcPHjRtuAgDNBaVbkxYFHWupGr0hal/RR2wM7YhyiaJJixdurS0tPT48eOjRo3CY8Gq8sMPP+ALh0j0h/z8/MLCwp9++okwiwQEdmuEcJee5Biw9qABAKKiohwdHalU6nfffff5Hg1PtSXRNiKRSBkXsAlAoPP61hCVsGdjKSyFUUQGy4gySKIhvXr1wuM2REVFfT6J0tfXVxeiSOqlvLxcIpF06NCBQJuY9rugD6TEGDFYM4MmavEcXzE0AMDEiR8v7vz583UqhqQO4uLiwsPDm7HOhEDvCwBwNLFfGbrYydSRQJskmqAM3TB+/HjdKiFRh8uXL0+cOLHR4MBNROseuELCZcHkwJO2qF0b8vLy/v777/z8fFtb2759+5Ihb3QIhmEbNmxYtWqVroUAAAAFonhYulEgctKAPlJZWRkbG5uRkWFmZtalS5cBAwYQEmWehBAqKyv/+uuvefPmEW9a65OgQX+XXsZGZBe0tvjkfnrixAkfH5+YmJgPHz7cuHGje/fu5Duxrqiurn706NHKlSubbYHYNN0f+AXT4xZXiLkE2iQhhMePH3t4ePzxxx/Z2dlPnjwZNWrUgAED8Jj1JDonJyenpKRkzpw5WjyHNh1wW+vW/raNJ/YgaR41DlgikcyePfv06dOvXr36+++/79+/n5KScubMmQcPHuhQ39cJPu7r7+/f7CTKKIwlrEoXFUmJkoRiGAAAIt+A9Y+ZM2cuW7bs3bt3Fy5cuHHjBn7HP3TokK51kQAejycQCLy9vbWUDZ1lw2g9yZllpa04lACAnYkH974m16lqi5pqkZWV5eTkpBrc39fXd8iQIampqboQ9lUTGxvr5OSkSXxBVIGiChSREfYS7Greav/ArdZkKEo9A0XRd+/eff/998o+Zxsbm8mTJ6ekpOhWGAkA4MSJE4GBgXQ6XUv2IQpk085cq2/AclQuRwjIvkxSJzUO2N3dXSQS4cm3cRAESU5ODgoiF4G1HDKZbNu2bVOnTtU0USUKAKGDQzCKFAiKsBZY90DSFCgUir+/f1JSkmohnlJQV5JIAACFhYUxMTELFizQtRBNGes7fHTrKF2rMFhoAID4+Hg8Ze/48eO7d+8+d+5cT0/P8vLyEydO2NnZkesZWoyqqqrc3Ny5c+dqborwGHXZVbnr438PdmxnwTQnyiaJJiQmJlZUVAAApkyZMmLEiJkzZwYFBfH5/CtXrrx9+3bdunW6Fvj1kpmZSaFQxo0bp2shBGBMMzZhEJC1nqROaACA+fPn5+XlKYvWr1+vukdqamqPHj1aWtfXR/n7yusPbtra29lhPBqFnlGZBQHI28pDgSqyqnKZTGbnbu0qpJUp5Wl2xrbOYufCouJSsxJXJ2c3c+cMXja/UOTCdzVjmmTz8qSw1IXpAgBIrkhFKHAXp44wCj8vfs2iMkM4HaqkvDdlqdZGVgG2foWC4oyqbBezVh4Wru8rs3IrP7S19XUy5ySWJvNk/A72gSYMk6dFL2FUYWdsS6NQGRQtjjaRNInNmzdfv35d+XXbtm2qW//999+ZM2e2uCgSIJFIysrKOnfurKVxX1VgMZJ5rshnXCsKTVvd0AdSYuxMbL7vNFtL9r9yaACA169f61oGCdg47/+GthlNf0vPAfgoAAsD4D0oBABQgLEEgqu8+VfLbh5OOulu7rIofbGoSHqf8xzp/HBdj592Jh60y+QMKRhShFUBQKEA4wJQAdGhrcl7qpiVu/pHV0l5ax5GM6mM2GEH/8259+erw44m9qejDpx6+/eVzH+7cDpG916948X+5PK0kb5D5wVPXfNwc7WMv6Tz3I6O7dc83ASjyNbwXy+OiDGmNzNvGgnhnDp1StcSSOpg165dS5cubZlzSasUFYnVHlEODHNtDTMDAMjFh9oD+thXSQS3b9/Oz8+PjIy0samJVigQCK5fv15WVubn59enT5/6juVyub6+vniXmipCoVDT0VAAAAAoikokEjabrbkpgUBgamqquR2FQoGiKJPJ5PP5586d696lj5WzmY2plQ4lSSQSOp1OSKwAoiQRZUefK4DmpjTh1atXr1696tu3r7u7u2q5QCC4ePGiubl5ZGQkBEElJSW3b9/m8Xhdu3Zt3759fdbu37+/Zs2ae/fu1Son6qLJ5XIMwwi5aERJEovFTCaTSqVmZ2enpKQMHdr8xEFNlaQQwO9OFrSZ6kJhfOIjifppCIIUVZeYm5iZMTS1RmAFAAAQEkmb8ArQjGM/+bOhKHr69OlFixaNVkHN6ZR//vnnyZMnmUzm4MGDFYqaWXOlpaXl5eUcDmf37t07duxohkTDhsvlFhUVjR07dk/xwb8zL+taDskXya1bt5YsWTJ27Fhls7127Zo6B965c+fnn3+2trYeM2ZMrYDSw4cPl0qlDx48wEPBZGVlyeVye3v7uXPn3r59Wys/40smIyODwWAow5O1DHRTmv9st1rel1hKRKUV4krt2f/K+eRdZ9asWbdv3/by8iovL2/btu2VK1dCQkKMjNTqddy3b9+jR49MTU3j4+Nv3rw5aNAgvNzLy8vLywsAwGazz549S/gP+KJBECQtLS0oKMjIyAgCEJ1KbJg6kq+C7du3//rrr717905ISOjfv/+///5rY2Njbq7WXLk9e/asX7++U6dOJSUlp06dWrZsGV6emJhoamo6ffp0FEV9fX1/++23bt26devWDQDw4cOHlJQUnSSl1lsQBMnJyQkPD2+Bcd8WJvbdRWcLzqKOs3QtxDCpuePzeLyTJ09mZ2ffu3fv3r17e/fuLSws7N27t5oOWCgU4q/znp6eWVlZqpuePXu2cePGnJycCxcu1Hc4DMMikWj69OnKkvDw8GHDhkmlUkJ6RFEUlUqlzeslqIVUKiVkYZ9Codi8efPPP/+M21waPI9FY0mlzQmdQZQkqVSKIAghF5xASYTY0c8KgKLo52NAVCq1Sfa3bNly4cIFCwuL2bNnHzp0SCwW15nWrE5ycnI8PT0BAF5eXn///bdquYeHBwCAQqFYWVlxuVwbG5tz584dPXq0qqrqxo0b9Rmsqqp6//69akOeOHFiSEgIURcN74ImZOCMKEl8Pv/QoUM//vij5tHH9K3VIAjCoNAZEKN59yVtSMIvMooSEOGAwKuNYdjn9xY6nd7oDafmVpufn+/q6urg4MBisYRCIQDAycmpR48e169fnzp1aqMilHEAFApFrfRV7du3P3To0IkTJ6Kjo/fu3Vvn4VQqlUajdezYUVni4eFB/49Gz94oKIrCMEyIKUIkcbncW7durVixAjeFoVjW4TKHKDN3N2ddSQIA4JeIEAdMlCRDrQA4KIp+bqpJYZwRBCksLOzSpUtubi7ebI2NjceNG3fu3LmuXbs2ejiNRoNhGACgUChUldBoNARB8M8KhQIfcouMjOzZs+fatWuPHj1aX5BaIyMjExMT1Ybs6OhIYEPGva/+/B3T0tLy8/OXLl1KyLNdUyVhKCbIkZh51o7VTNTVplAoS4LnmbJNNJ+HRWAFwK1pborYe9TnFUCd7pCaW62dnR2XywUAuLm5PX/+HIZhGo2Wm5vbvXt3dUTY2NiUlpba29unpqZOmzatlj5ra+vhw4fXme4QB4IgJpM5e3btye5UKpWQmg1BEFGmNLdTVlYmFAojIyOVphAEBQWUV1nJXp5uOpGkakdPrhKxdvSqAuCgKIqr0lCMtbU1l8t1cnLKzs6urKy0srLKyclR887Spk2b1NRUOzu71NRUP7+akL9+fn74jA2ZTCaRSMzMzAAALBaLxWINHjz48uV6JyuwWCwOh6O9hkylUut822ieKQ3tZGZmWlpaurm56apqCQslqXvzumzwoxl9chRRegAACaUvHM0d2tsHaGiHwEuk/F9zUzq/bdY4YHt7exsbm4SEhC5dutja2rZr147FYuXk5Ki52uHnn3/+7rvvOnXqVFZWhq8bdnd3xw9/8uSJra1tXFzc4sWLmyHR8Hj16lXPnj3pdLqyI4VKp+Q55ZjYaXEtAYmhEhYWdvny5enTp48bN659+/aurq4JCQmPHj1S59jvv/9+1qxZAwYMuHHjRlxcHACgS5cuFy9e9PLy4nA4ixYtysnJ+fHHHwEAmzZtqqysZDAYV65c2b9/v3Z/0hdCcnLysGHD8ChGOgFDMQCAVsPT3ci9623tobkDJqkbrC6EQuHBgwe3bt2al5dX5w51UlhY+Pz5c4VCgX/NysrCMAxBkKSkpAcPHpSXlzdwbEVFhbW19eflAoFAfQENgCCIUCgkxBSfz9fk8HXr1uEf5HI5PniAo0BgXUlSIhaLlX8+DSFKElF29KcCKKlVATQHhuHTp09v3rw5MTFR/aMqKysTEhLEYjH+NTc3F4ZhDMMQBElMTMzJycHLZTLZs2fP4uPjG26S9+7dCwsL+7ycqIsmk8mIumiaSKqqqtq+fTv+WSQS4Ves5SVVZ4sefp+sENc+O1FXG4bh6Pgdf6df0dwUgRVAJpMRYoooSZpUgLpH+9hsdq1uZHXgcDgcDkf5VTmJIyCAfHoCAIDS0tLXr1+vXr26zq1/v7scZO/va+XVwqpIDAYqlTpmzJimHmVpaama9tvV1RX/QKFQ2rVrpyxnMBidOnXSXKQBkJSUhCDIwoULdS3kP7SZjGF+0LRac3pICOSTUWKpVLp58+agoCBbW9vWrVvPnz+/pKREV8oMjLKyMpFI1KtXr/p2uJRx/U0ZmXiKpMlgGHbs2LEuXbo4ODh4enqOHTs2LS1N16IMlpycHHNzc33JdYEnCdWmBz6V/s+9D/Has/+V84kDnjhx4v79+ydOnHjgwIElS5YkJSX16tWLz+frSpwhcf/+fScnJxaLVfdmDPQQdG/FdmxZUSSGwK+//rpkyZKIiIg///xz7dq1MAx369YtMzNT17oMk/j4eFdX1ybNVNceH1djaVNLYnlyOjdDiyf4uqnpgi4pKYmLi8vKyrK3t8dLpkyZ0qVLlxs3bowaNUpH8gwBuVy+devW5cuXN7CPrFrh/zIoqA/Z/0zSNDAM27Vr1+XLl7t06YKXTJgwYeLEiSdOnCATIhFLfn7+rVu3pkyZomshLUp7uwAfG09dqzBYahxwdXU1h8NRel8AAJVKDQwMrK6u1oUwA6GgoODDhw8Ne1/w32zG97zsIMc2LaKLxEDAMEwgENTqEQ0KCsrPz9eVJIPk5cuXFhYWuPeVVSlyr5ZiyMfJxwiCUCgU1XdiCh3yGO6ILw0SKyQXj9xmClhtenqa+RkdfBNDhahTLMbnPyovEBTRKTRvK48KMbdMXMGmG7dic0okb6tlfEs70z4Tuux5daREVDa4VX/TJ9bvyjIyfN8N7xJhzjTd+/pYqyzXYLi9RCADAGx/sW9B6Iznxa9uZN9tZcaZ0W5CXO6tt7z37e0DhvkMOvgmJp9f2M+9VxdOxz+e7xErJGP8htmzbXe/PIwBbFb7SQK58GTKWSaNuajjrKTy1KuZN+3ZtnM7TL2WdetJ4QsfC88ezqG6uORfBTVd0D4+PjY2NpcuXVKWZGRkPH78uIWjmxoSFRUVYrE4ODi48V1RAAAoFhVrWxKJgYHnnd22bRv2X3CoysrKU6dOffvtt7oVZkgUFxcXXqpil1t+/A41ode3WsbHd4YgAAEIAhAEQRCl1sgtpPI/AABgEASUIVmgj/tCEAZBEG4EUDAAIIoxVOCZh1JR5eGQ6v8QBACgfPI/5b+t0H96ag7BjSt3w7OJU4ChBdfUKyAMw+bPn19WVgYAqK6u/vfffzt06ODu7s7lcuPj4wMCAo4dO+bv769tHQaZDenIkSMTJkyoL7CUajIcSZns5aYM63lMP09vrUpqGDIbUktK0jAbUnR09MuXL3E7V65c8fT09PPzk0gk8fHx9vb2O3fujIiI0FxkUzHIbEgHDhwIruxlF2LZqrfN51sbSIaTXJ72/a1VN749Q4XUitKgb60GQRCZTEbILGgyG1Kd0AAALi4uSienTDTm5eWFL05QMxY0iSo8Hi8mJqa+cH2fg6EAAOBu6apFTSSGhYODA77SDwDg6+urLMe7o9VMxkDSMGlpaW/fvp0xY0b562qTVvXMoKwfGSyDUVgbwkgMAxoAQJkChYQQ8vLyBALB3Llz1T8EHwNO4aZ1tGrX6M4kJACASZMm6VqCgfPs2TNXV9cRI0YAAGzbN+eBxt/Wb0PYz2q+/pJ8hdTubOTxeDdu3MjPz7e1tQ0LC3Nzc9OFqi8YHo/H5/Nbt27dpMRk+PhdtZxc8UXSHORy+bVr17Kzs01MTEJCQlQDaJA0Dx6PR6VSVSelNgMqhWrJsiBKEonh8YkDvnr1Kv5Y7eLiUlFRUVpaumbNmpUrV+pI25eHqFh68ODhWZNny0phGfjY9WRkx6T+lzEbkaOSMhmdTWNa1oR9FpfKxCVSAICfre/nNklIGiYpKWn48OHl5eXu7u4SiSQrK2vSpEkHDhwgKhz/V4hCofjrr7/mzJmjoZ0XxYm/PNh4a+w/hKgiMTxqHDCKolOmTPnxxx+XLl2KT8O5du3ayJEjhw0b1qYNuTamcTKe5xz75a+BbYa++SNbtdx1oJ1zfzv8c+Hdig83yhjm9JA1H32tjKd4tTkDYACiQvbmdUzxICFpmAULFvTq1Wv79u34TI6kpKSIiIh//vmHXL7fPF6+fFlVVVXL+xbeq7D0MzW2b/LkLyqFfAwiqZcaB5ydnc1kMlesWKEsiYiIiIqKevr0KemAGyU7O1vIF/f3i+zwkzeF9sn6AqZFzcuucz9bu04WqrnDmBb0zmtbI3J0/PXZK6oWBTuQnYckTQBF0RcvXly8eFE5jzIwMHDevHkJCQmkA24GT58+9fHxsbS0rFVeeJ9LZVKa6oA7czociNhGnDoSQ6NmnNLU1FQgENRKrVVeXk7IRG3DRiKRlJaWOju2okAUIxsGy1rlnxUDotT4Y4gCsawYtZJ30k1pLGsGF6qUI4oW107yZUOhUNhsNr6MUAnZbJuHRCKRy+Wfe18AAMAw0PTwkwK5MKMqu/H9SL5Wahywvb29l5dXVFTUo0ePiouLk5KSFi5c+OzZs549e+pQ3xfBrl27QkND8bmOqu62SazvsTzIXuvrrUkMj0GDBo0cOTIuLq6oqOjdu3ebN2/es2fPoEGDdK3rC4PP5x8/fhzPZf45GNoM/wtelLzZ8nS3pspIDJdPJmGdP39+wYIFyioYFBQUFxdnZ2enC2FfBjk5OW/evFm6dCkAgGXNsPY3a3ZgdDtjGyaVgNXlJF8bO3fuXLp0aVRUFAzDAAAXF5eYmJiQkBBd6/qSePToEYvFmjVrVr17YFgzQkIZ04xMGATEfiExVGrqFJ/Pf/r06T///CMSid6+fcvlcl+/ft2tWzf1bSkUiqysLBRFa5VLJJL09HTDy6qUmZlJo9GGDBmCfzWyY/pNdWmeKQWimHX9x+RyMoscSZO5cePGpk2bRCJRenp6cXFxXl7eyJEj1T8cRdGsrCyFoo7hj8rKStWEpNXV1enp6VKplADR+sSLFy/8/f07duzYwD4YCpqRASnUqWPMkD0aSCMxcGoccF5e3uLFiykUirGxsZ+fn5WVVZMMZWVl9ejRY9u2bX369BGJRMryV69e9e/ff8eOHX369PnnH8OZjo8gSE5ODofDIWSxBwowoAzBSkKiNgiCjBkzBsMwBoPh6+vr4ODQpMP5fH7v3r23bdvWo0eP3Nxc1U0HDx789ttv586di2dVio2NHTVq1M6dO0NCQhITEwn8CboFQZCKigoLi8ZW6zZnCBjk8wvPpF1snjCSrwLsP6RSqb29fX5+PtYs5syZc+XKFQzDfvvttwMHDijLFQoF/iElJaVv3771HV5RUWFtbf15uUAgaJ6eWiAIIhQKCTHF5/Plcnl0dLSGduRyuVQqVX7NrMpBMbTZkjQUgyMWi5V/Lw0hShJRdoitAITYqVUBmk1oaOjNmzebd+zu3bvxmnzhwoVFixYpyxUKRevWreVyOYqiwcHBXC5XWTFiY2MXL15cn8F79+6FhYV9Xk7URZPJZIRcNAzD+Hx+QUHB4cOH1dn58fLUsle8OjeJRCIYhuvcdCXz36hz45skSf2dW8AODMMikYgQUwRWAJlMRogpoiQ1UAEapWYMmE6nz5w5Mzw8fN68eZ6enspo1x06dFDnbTgxMXHNmjUAgODg4Li4OGW5MrJ/QkJCraRptZDL5WfOnFF+bdu2rZ+fH4qin/dpNwP0PzQ39e7dOz6fv2TJklrWEBkqKpKauasbuFxVEgaw99ysVmxHOpXe6IH1mWrGgQ1IIsSUvtn5IiRBeFoatZk1a9a0adNmzZoVEBCgjNzu6+vr7Ozc6LFv3rwZPXo0ACA4OHj79u3K8qKiIg6HQ6fTAQD+/v7p6eldu3bFNz158qSBSFtyuby8vFy1IXft2pXD4RB40TAMI8TU3bt3fX19J02apI41DAMA1H1e/KfV+SezM7JxN3dVX+2XUkV1K0n5v+amCLTzeQVQJxhijQNWKBS7du0CAOB+VMnFixf/v73zDojiaP/4XOE4eu9dOtaAKApqxI4tkkQs6Bs1orHnF5WIMTFRrK+GNI0xiTGWWFBjQdGACHaQIiCIlKN37mjXb3d+f2zey+WOOw5u9UDn89fe7O6z352bZ2d32qNsZKAsIpGIcFcGgyE3lwkA8PDhw+PHjyckJCg7XSKRiESis2fPSlOmTZvm5uYmEAhICc6D47hAINC8ubisrIxOp48YMUKxJ4zztLPqesuQLeoGVCCC4UAIAQCtwvY9j76x17PxNB3QC1VCoZDIfA0RCAQYhpGS4WRJIssOWQWAREmyBUAWOp3eo2Av3377bUdHx3//+1/ZxD179kRFRXV7rvRe5NxWKBRKiwGDwZCW9tOnT1dVVR04cECZwfb29qamJllHNjExMTc3JyvTiGhIipnWUwoLCz08PJycnNTt0sahSCzu8mDii7zLojXQ1Dt2dIz6veZ9zWuIaEg9WlX3ZUsioiGRUnGS+NjssgAwGIxun6X/7NbV1WWz2b0W4ezsXFFRYW5uXl5e7uLyr0royZMnmzdvvnTpkoq5iXQ63dDQ8MKFC3LpOI6TEgyLeEPR3FRxcXFoaGiXERK5umKaDlX9S8hGo8PouA6VbmFk3juFGIaRkksUCoWscIRkSSLLDlkFgERJGoYjlEIEJewdLi4uFRUVAAA5t7W3t6+trSW2pbvi4+PPnj17/vx5FU9kS0tLPz8/RUcmK9PodDokIxxheXn55MmT1ZcEIWDq6So7Xnk4woKbZSkbR65W8yp9zWswDKPRaH1KEvF0IiUcIVmSgPIC0C1dOJJEIqmsrOzpWMclS5bs2LHj7t27xNgNAMCGDRvYbHZpaenMmTMjIiJSUlJu3brVC4l9hPb29ri4uDlz5ih7+lgOMx66vjffrwAAI4bh1fdPOxrZayAQ8UaD43hNTU1P5xrMnz//xx9/vHfv3q5du5YsWQIAOHjwYE5OjoGBwdChQw8dOnTmzBkIobu7e3Jy8vr16997773Lly8/fvz45dzEq6CwsPDcuXNEjCP1MXLR1zXv8UO/mM3KqMvu6VmIN4d/1SV1dXULFizQ09NzcXHR09MbM2ZMRkaGmoZmzpy5atWqu3fvHj582MPDAwAQEhLCZDIZDMaXX37JYDA4HE7/nYmUn59fUlKyYcMGFcdQqBSGSS8bNESY6Pe8s0JM1LvTEW8yfD5/w4YNRkZGjo6OJiYmfn5+V69eVfNcHx+f7777Li0tbf369VOmTAEADBs2zNLSEgDwyy+/UKnUhoaG8+fPAwAsLS2/+OILPp/P4XA6Oztf3u28VG7evGlmZkZ0e/eIIWvcDB16HA/Y09xtjFNQT89CvDn8q7Fx9uzZJiYmt27dcnNza2lpOXbs2NSpU/Py8uzt1foymzhx4sSJE6U/icmI+vr66vRF9WVYLJaRkZGzcy/n+KpDA7fpdMGFMPeJTsYOL+8qiNeS1atXP3ny5MyZM35+fnw+/8qVKxEREcnJyaNGjVLndH9/f39/f+nP0NBQYkNXV3flypXS9KFDh/b3KIdlZWU+Pj49namlCYOt/AZboYX0EUr5pwJmsVilpaW1tbVE/4qrq2tAQEBpaWlSUtLixYu1p1D73L9/PzIy8qVewpBhaG9oa6yL1u9F9Awcx+Pj458+ferm5kakDBo0iM1mX7p0Sc0K+A0Bw7DHjx/Pnz//VV40peLeLVbK7re3vcqLIvoR/1TANBrNyMhIbnSDpaUlKUNy+ik1NTWJiYnLli1T5+DmnLaGjNaBy9UdBS2LGdPkj9k/9eJExBsOlUql0WgWFhayiVZWVm1tbdqS1Ad59OhRe3u7JrUvt1ZgYMfs6UKz9dzG2s767o9DvKn80wfs7OwcHBz85ZdfEsOvIISXLl0qKCiQLrX4ppGdnc3j8dSsfQEAArZYyO5lJ26bsH3LnZ2oDxjRCzZv3rxmzRoOh0P8TE9PP3XqlPrl9rXn+vXrgwYNmjx5cq8t4BKYfaCkncXt/tB/E2j31rveb+jzE6EO/3zdikSiwsLCP/74Y+/evXZ2dhwOh8PheHl5jR8/njjgwYMHpAz+7hfU1dXp6ekRo8l4fB7EgYGBPgCAK+aJMBHEISbEO0VcJp1Jp9JwCHlinkSEUagUCY7xJXwjhiEAQISJxLjEQEcfACCQCAAATDoTAMAT82lUGhVQAACdIq4uXbee2/igJr1TxNXVe1NyGEEW6enpiYmJZ8+etbOzEwgEDQ0NTk5OERERxN4TJ0749DDM2gAAIABJREFU+vpqV6EWqaurc3Nz63LeYI/p+VqUA0xdHI3sSLg04jXlX03QsmMuFCFlEYP+wrWr1xwnDnj2otiH4d38vYAGqeYL9KstKmMfHNSlMQ5y/9v6rIuBoIbOekuvr6toq1o48L3FgyJmX4gUSIQxozZ4WXgsTVgLITg8dX8Tr2Vb2m4dqs7ZmUevlCT+9uyMtb7lT9MOjnYINGaQ8ZhAvGFERERMmzZN2V5iSPObSUdHx507dzTv96XSKcM+djd00OvpiReKrt2tevjtpN0aCkC8rvyrAu7vw5VJoaio6OHN9Lfax/3VcF0gEc4JmZ694BmAwGuo6wCKvcWEHUAMPQzsm4M4dR0NRrqGtgbWHEFrM49toW9u72j9Fe3TFj7b3cyVSdf9ZuIurpg30NKbQdONm7gLQtzb3GOAqevXE3Yy6brGukYz3CcPsR1oxjQ1Y5qikRqI3kFMu0fIcWzLaUklJSJ2tjQl/8fy1hedfK/OgZGui65+hEP8v46x/D9VGZHQxWN3DduQEvO08dlsz2kfj1g558JijqBt3fDl45xGz7scJcElO4O36DP1P7m9jUqhnph5OLP+6X8f/2DIMLjy3smq9hoxLnnpt4rot7y5A6y65MmTJw4ODmGjZ5ZdqvOz9IYQUinUgIDBxF46YAbYDu3o6GAaMRzNbRyBDZFuCgzdgCOx7QqcXE3+XoPXx8JTanmo9UBiQ5fG8LcdAgAQi8XGDKMAo/49tQOB6IMkJia+5TSC6c0wcvrns9X9XbvUZw/P1F08ZvjNgQk7Ojs7B9p7dVrzWK2VdBrNzcSFJ+HVtNfr6TAdjexbhW1N3BYbYwsqnbJx5OomXouzsQMFUPaN394h6vQydzdiGB6c8JUYl7gbuDCZegdCd1CpVDtDm1CXMfaGtgY6+jQKbfHgCBEa2IFQDqqA/6G1tZVKpdrZ2TVUcih0ymxPpc16CASiz9La2mplZUVn0XTNGBTaPx23ela6xp4GphIjCqAMsx7UodfBZDKYPgxL8HcsQlNgaA+spduu4O9J+c7Gjs7Gf79he5m7Sw0OsR4IAODxeDpUOvFWDQAw0NEPsP37rdpSr2dBXRFvGigA7d9gGHb69GliRQKIQSqN8n3mz2cKL2lbFwKB6AH19fW3bt0KCAiAOKAojFoZ7RAYNzFWG7oQiC5AFTAAAGRnZycnJ69atYr4iWOQQqNUtFU3cBu1KwyBQKjP5cuX29raiJUmIQYVxy0/bXz2Y/ZvWlCGQHQFqoBBRkaGs7Oz7DRBKIEUGmXygLfHOKK1hBCI/kFKSsrUqVO9vb2JnxBC2fZngoLmogc16q5vj0C8bN70PmA+ny8QCOQWEoI4pNIobzsF06hvev4gEP0CPp9Pp9NlF/KDWBcTdz3M3ALthr1SZQiEct7oL+COjo7jx4+PGTNGLh2XQAqNEn3nq/jnl7UiDIFAqM+LFy9u3bol58gQQgpVvgYOtHtrbcDyVygNgVDFm1sBP3z4sKCgoMu1RyAGKTRKu7ADrQ2JQPRxzp07Z2hoOHv2bLl0iAGKwuPtFisl9sHXr0gZAtEdb2gTa2Zmpo+Pj5mZWZd7m7ktIhxfNGiu7JQDBALR10hPT586daqxsbHiLohDoPAFXN1RW9Ve80qkIRDd8yZWwI1POTXFtQEBAcTP4jM13FqBXbC5zUgzAECniJvCum/FtXaGFnaGNlpVikAglCIWi1tbW7usfQEAFgONjJzlF48MtPO31n9z1+ZE9DVIa4JuaWmZO3futGnTvvzyS9l0iUSyfPnyUaNG/fmnyjXfXhV1dXWHdh15yzJImmLkqm/qZahnxQAAsNoqd9w/8OHCeVPnjxnvEqI9mQjEq0AkEq1cuXL69OkrVqwQCoWyu1JSUqZMmTJlypS7d+8CAKqrqyMjI0eMGJGXl6clsf8iIyMjJSVFRYwj15m2Ju4GcokDLX2mDpj4kqUhEOpCWgW8c+fO8PDwGzdu5OXl3b9//58LUKmrV68OCwtramoi61q9JiUlpb29fZb/u7LzE2yDzFxn2BgPMAAAVLXXZNbnmDoY2figJWwQrz+///67paVlQkKCnZ3d8ePHpekSiWTdunVnzpw5ffr0mjVrcBw3Njb+7LPPPDw8Oju7CEPyijl16pS3t3cvIgyeyD+3/d6+lyEJgegFpFXAd+7cmT59OgBg+vTpqamp/1yASh02bBid3n1bN4SQI4NIRPIAqMLCwoEDB3p7e+MSSFWYIEjgauIc5j6J3OsiEH2W1NRUqdveuXNHml5cXOzq6mpmZmZhYWFjY1NeXm5sbOzj40Oldv/EkEgkso6MYRi5mgsKCiZNmqSs5Vk1HaIOvoRPrh4EoteQ1gfc1tZGBN00MTF59uxZT0+XSCStra0DBgyQpqxcuXLr1q1cbo+DYHcJjuO5ubk+Pj6dnZ04hoskoi5f5M2pJlF+i1S/43O5XErPI4MqIhaLcRwXi8WamyJLEp/P19HRUedt6ZVJIssOjuMCgQBC2HckKSsADAbjlQXe5nA4JiYmAAATExM2my1Nl+1bNTU1ZbPZsr6pgtra2sePH8seHBcX9+6775KVaa2trcXFxZ6ent1+iHeU8vUddGnMf70xvG0XHGA5lDiXLEk8Hk8sFpMSrbWveQ2GYUKhEMfxviOJ+DAjxUFedgFgMpndPktJq4AtLCw4HI65uXlzc7O1tXVPT6fT6WZmZs3NzYq7NA+mXVRUlJWVFRERYWBgAAAAGGDqM7s0+7DmybG80z9NPajCGoSQlPjexPNXdumAXkOWJBqNRlYFTJYksuzgOE6j0f4uAH1DEokFoNdYWVkRTtfU1CTrtpaWllJnlNulGnt7++DgYNmPaQJSMu2vv/5iMBizZ89WJ9OeXah2m2VrPfxfH8rODEcJJjHUMyRLEgCASqXq6uqSUgH3Na/BMExHR0dfX7/vSCKxAu4LBYC0JuiwsLCTJ09KJJKzZ88S4cGPHTtGtD61tbUJBAIej9fe3k7W5dTn1q1bxsbGERER0hQcg1R61y8+jbwmNr/1VUlDILRMWFjYqVOnIISnTp0KCwsDAFy5cqWxsdHDw6O5ubm8vLykpITL5To7OxM9RCKRqKOjg6x2qR5x6tSp8ePHjxql7uqwFBqFypB/vv3y9NQ3T34iWxoC0UtI+wLesmVLTEzMnDlzlixZMnjwYABARkZGZGQkjUbbtGlTa2srAKCysvLAgQNkXVEdysrKvL297ezsZFtRiHU2ujx+uO0wmmIIFQTiNeW9995jsVgzZ84MCQkhXlKfPXs2aNAga2vrEydObN68mUKhnDhxAgDQ2dm5YsUKAMDPP/9cWFi4fv36V6mzrKwsJCSETqc35nI6WHy5r43K9mqemO9j4VnbWV/BrLAYajzZ7W3O+3UXBI/864YE2r31R8HFdmHHBNcxElzyKmUjEKohrQJmMpkHD/6r5fbQoUPExk8/aeeVE8fxR48eLViwQD5d+SAsW0Prt3WDX740BKJPQKFQNm/evHnzZmnKli1biA0/P79z585J042MjGR/vkoaGxtLSkqIMc+CZhG3RiA3FqyhpYUCKJ18voAr6tTntbtwAAAlgrJSDsvG0Gq43bAidkm7sGOwtd8Hg+dJcJIHhSEQvea1XYgjIyOjublZsfYFAEAcUpQ0QV8qup5ckXZ4yv6XrA6BQKhFfHy8k5GbZY4bmAwAALYhZjbBpnJ9wJyqelcTJydjBwBcQ0Egkbjaf6n0gO0hmwEC0fd4PSvgxMTE4OBgIyMjxV0QgwACxVXaCXgSHgbRCzIC0Sc4f/78+++/35TZWtpWp+IwHwsPU6bpK1OFQJDFa1gBV5VV25s7UHSpYefmhVqPC04cJxFhJ91PjgoeFu43Y97F5et0NuTzCqzZ5h8lbqJSKEfD4so45TvuH9DX0ftx6oG3bIZo+w4QCASoq6sbNGgQAMB4gIHzNFXDsD9O3jbfL3w6msGP6G+8bhUwl8u98P2VKYNnYEMxCoUye+gUKzvr8uaqeTazvMzdjBlGX46L5gcLhtsN0aHq7Bi7hUIBLsaO1vqWX4391EBH39nYAQAHbd8EAvGmU1JSUllZGRoaCgDQNdOxH2Oh4mCBREgBJEzoRCBeMa9VBZycnKyvrx82fBYuhia6xgnv/wEAAGZgmLcvjuN8Ph8AEGj3lvT4YMcRxIaBjv5YJ3WnNyAQiJfKb7/9NnHiRKL2VYevxkS7mDi9VEkIxMvg9YkHfPPmzTFjxowaNQoT4TQGtYXP2f/4e5yMlY8QCMQrIyEhYfHixY6OjuqfwpcIaIqxfxGIPs9rUmpbW1stLS2J5VFwEU7VpZS1ll8ruYVDEhZRQyAQrwY2m21vby83y6izRtCYoWp5nE/v7Mioy3nJ0hAI8un/TdAQFCaXpD1MnT1xTv1DNgSQXd8u0uNZUA38bYfQqWhVDQSif5CVlcXn84OD5Sfis/Pb2YUd1oFKxzlTANDXkQ/9i0D0ffp9BfznxcviVJ2hRqPLrzUIMaEOVUeACZM7U+Zgk7+esFPb6hAIRPdwxbzd3+zd8ME6KoeR+TiPRqW7mjgJJcLK9hoDhgGtiYEDLLP+qZ2hjSXDvI7b0MLhuJk4m+uZlbVWcAStP0372sWkB03WCEQfoX9XwCkpKdNmTNV9VxcAwBXzws7N+3bS7tHWgZP+NxkfgUD0fT479uUTy2ez82uFVygAUADA8kE5AAAAqhDwAeC3ODYdTP56oKVP3Pid+9K/f9byfJr7xE+D1q1PimkXdqx86wNXNAgL0Q/pxxUwn8+n0WjSNXHoVLqXubutQY8DMSEQCC3CZrP9HHze9no70HOwJAjjifg0ClWXrgsA6BRxGTQdBo1BYfiFYoF6dD1cgu0ftx2n4QY6+gCAC3OOCTGREYOEmDYIxKunv1bAJSUleXl5c+bMkabo0hhHp32tRUkIBKKn3L5928TE5D8hkUTkIjqTZsz8pzY11fsnmKARzRAAIAIYnUrTZfwdII9BYzBoryh2MgJBOv1yFHR8fDyTyZwzZ87zkpLU5PTSF5UAgPTarA1JW8UYCfHtEQjEK+DQoUMhISEBAQFJPz26evq2tuUgEK+a/lcBp6enT548uYXRVtBclHW9UJxILbxWDgD4LvPn2s4GbatDIBBqkZ6eHhkZ+ffUQSEUAKG2FSEQr5p+1gQtFourn9VZ1TmfNr5gY2D1f+s+ku46MfOQFoUhEAj1qa+rLzxa6bd9CDAGAACrd4xcjNHoDcQbR3+qgM99dTWfVTDacVxDM5sSCByN7LStCIFA9JhLly65O3m4G/lAyd/r5Ph6eTBpuqrPQiBeP0hrgm5ra9uyZcuaNWuKi4vldl29enXZsmVHjx7VxP7J306ZNFiNChwtdOPZTDTZNe6zub7vaGIQgUBIJJJ9+/YtX778wYMHcrsyMjKioqJ27dolFv89ruLo0aPLli27evVq7y/Hx3Z8tsvfI8gWOAEAirjFnSIuAGBr6q5zhZd7bRaB6KeQVgEvW7Zs5MiRUVFRERERGPZPSN3MzMzvvvsuNjY2MzPz5MmTvTOesO+2ySMnfabB+EUjZi8NdXvLgYqWfkUgNCY2NhbDsM8//3zt2rUNDf8MoeBwOMuXL9+6dauent62bdsAACdOnMjMzNy5c+e3336blZXVi2tJBNiNAynDmkOqjrW8OF2NUSRbn8See365U8QtbC7S19En7a4QiH4COdWYSCTKz89/5513hgwZ4u3tnZmZKd114cKFZcuW2drarlmz5ty5cz21LOSLkw9mFD56UeNbzZlTxzRC7VQIBGnEx8evW7fOyckpPDz82rVr0vTr16/PmDHDxcVl1apVly9fBgCcP39+zZo1dnZ2y5Ytu3DhQk8v1NHIvbTlZvNzTuGgAqdPTYNifYNifePn/bpkyHxDhkHC3DPh3tPJvDEEoj9ATh9wU1OTlZUVsW1vb19bWyvdVVdXN2XKFACAnZ2dbLocYrG4ra3N399fmvL++++vXbv2h02/GomNhyweOGLcULoOtbOzs3cKcRwXCASQjOBIXC6XQiEh+KhYLMZxXNq+1xck8fl8HR0dOp2EUkGWJLLs9KMCwGAwiLHBrwAul2tgYAAAsLe3r66ulqbX19fb2toCAHR1dYVCIQCgrq7Ozs6OOPLmzZvKDNbV1WVmZso6cnR09JSpU75ee2iQ61tDV/l6DnSh0CgCjA8AoADAFXGJw8RApI5gkUgEIexTXsPj8cRiMY1GwrLzfc1rMAwTCoU4TkJIG7IkiUQiAAApDvKyCwCTyez2WUpOBWxkZMTj8YhtLpdrbGysuIvH48mmy6Gjo2NoaCjbT+zh4WFoaDh97SRrZ0snK3sNFeI4TqPRiGeNhkAIDQ1JWHmHeP5KV/LqC5JoNBpZFTBZksiy83oXgF5Dp9MhhBQKRc5tDQ0N29raiG3iyUI4soWFhdyRctja2np7ex85ckR6rre3t56e3pytswcMcrY1sdJQMFEB9ymvoVKpurq6pFTAfc1rMAzT0dHR1yehd4AsSSRWwH2hAJDTBG1sbIxhWHNzM4ZhGRkZQ4cOFYvFJSUlAIARI0akpqYCAFJTU0eOHKnCCI1GC5DBxMQEAMBgUOzMSJifIBAIKioqNLcDAFAcZdY7OBxOU1MTKabIklRbW9vrNgZZcBwvLS3V3A4AgMViSSQSze0IBILKykrN7QDycpvNZpNVAHrNsGHDHj16BGTcs7CwEAAwcuTItLQ0AEBOTo6Pjw9Q25EpFIqhoaHUi4cNG6anpwcAYOpRNK99AQAtLS0tLS2a2wHk/Y/V1dVcLldzOxiGkeU1ZWVlsgNxeg2Px6uqqtLcDiAvt1taWpqbm0kxRWIBkH5/9hhIEklJScHBwaGhod9++y2EsKamJjQ0FEIoEAgiIiJmzJgxefLkhoYGZac3NzdbWFgopr/99tupqamay/vzzz9nz56tuR0IoaOjY01NjeZ29u7du2nTJs3tCAQCAwMDze1ACInB6prbyc/PHzJkiOZ2IITjxo1LS0vT3M7FixfnzJmjuR0IoaOjY21treZ2du/eHR0drbkdTXj+/PnYsWPDwsLWrFlDpHh7exMbGzdunDZt2pgxY/Ly8iCEDQ0NkydPnjFjRkREBNGY3yV37twZN26cYrq1tXVzc7Pmgr/66qvPPvtMczttbW1mZmaa24EQRkZG/v7775rbyczMHD58uOZ2IIRBQUGPHz/W3M7p06fnzZunuR0IoZWVVUtLi+Z2tm/f/vnnn2tup7W11dzcXHM7EMIFCxacPHmyd+eSNg94woQJEyZMwDCM+BK3t7dPTk4GAOjq6p45c0aa3lNwHCflVQ7DMEhG/x8AAEJISqcIhmGk2MFxnBQ7gNTcfr0l9akCoAne3t6pqamy7vn8+XNiY//+/bLp1tbWN2/e1MSR+1SmIa9Rh77pNaQ8yftIASB5Mo8y5ySlgwSBQLwM1Hdb5MgIBImg2bQIBAKBQGiBvrIUJYZhPB7v008/lUtnsVhHjx5VMe1BTV68eFFQUKBovxe0tbXt3r3byMhIQzuPHj3i8/maS5JIJGKxmJRby8zMrK2tZbFYGtppamqqr68nRRKLxfrpp58SExM1tFNUVERWAWhvb9+1a5fmBeDhw4dCoVBRkru7+/LlyzU0ri3a29tZLJbiTXG53B07dmg+nvbevXs4jmv+PwqFQoFAQEp5yMnJaW1tlTbd95q6urqamhpSJFVVVR06dIiYwK0Jz549Ky0tJUUSj8fbsWMHMSJPE+7evQsA0HwemkAgIKsAPH36tKOjo6CgQC599OjRs2bNUn0uhayeUQ2RSCRRUVHe3t5y6S9evHB2dmYymRra7+zsbGhocHd319AOACA/P9/Pz49K1bTxoKmpSSwW29trOsMKAJCbmztkyBDN7VRWVhoZGZmZmWloRywWFxcX+/n5aS6JxALQ2Ng4YMAAzSWRWAAkEgkxuVYWNze3uXPnamhcW1RVVW3fvt3Ly0suPS8vb9CgQZpPu2xsbMRxnJijrAkQwry8PFK8pqKiwtTUlJi1oQkikai0tNTX11dzSUVFRa6urppP1mpvb29paXFzc9NcElkFgFivzcbGRkM7JBaA8vJyc3Nzxbl5gYGBoaGhqs/tKxUwAoFAIBBvFKgPGIFAIBAILYAqYAQCgUAgtACqgBEIBAKB0AKoAkYgEAgEQgvQtm/frm0N/4LFYiUkJBgYGJibm8umSySShISEFy9eeHh4qDMAFcfxxMTEZ8+eDRgwQHb1AAhhcXFxdna2vb29mlEHCEn6+vpyknJychITE4mxteqM7uNyuVeuXKmvr5cbVVheXn79+vXs7GwrKys1J7ekpaU9fvzY2dlZcaAjj8dLTU11cnJSZ80ENpt9+fJlLpfr6Ogom56fn5+bm1tWVtbU1CS3q0sghERuu7m5yeUqj8e7cePGkydP7Ozs1ImFUF1dffXqVTqdLo2vBQDAcTw5Obnsf9ja2uro6Ki2IxKJrl69ymKx3N3d5f6de/fuJSUlUalUNQfT5uXlJScnW1hYyP07jY2Nly5d6uzsdHJyUsdOaWlpVlaWtbW13FLyEMKbN2/m5eUNGDCAlEgYWkR9/62vr79y5YqyIc3K/BcAUF5efu3aNT09PQsLCwCAQCDIysqqq6tTNqFAmf9KJbm7u1OpVIFAcPv27bS0NCaTKVv2pCjzXwBATk7O7du3ra2ticX979+/n5SUVFFRoSieQJn/EnmCYZhsnrBYrPLycsXR8kC5/wIAHjx4cP/+fUdHR2IGgdR9aDSaqamp3MEq/LeiouLatWtMJpPIbWlKVVWVh4eH4nOvS/8FCoW8rq7u8ePHhKTm5mYHBwc5Oyr8t7Cw8NatW2ZmZsTIcz6f/+eff2ZnZzs4OHQ5z02Z/yr+oVlZWcnJycrGtLe1tV2+fLmtrc3Z2VlOak5OTnl5ufQ5IBQKr169WlFRoShejr71Bfz8+fPIyEgajfbBBx/k5+fL7oqKisrJycnKylq5cqU6pj755JPU1NTi4uJFixbJpqelpX3xxRdLly5Vcx38oqKihQsX0mi0JUuW5OXlSdOrqqri4uKoVOrZs2dXr16tjql33nmnsbHx/Pnze/bskU0nJgQLhcIJEyaoiNgoJS4u7vjx4xwOZ8aMGYqD2Ldv3z5v3jx1YioIhcJp06YJBIKDBw+eOHFCdtfevXtv3LiRmZlJLM3fLRs3bkxJSSkpKYmMjJRNFwgEYWFhL168EAgE6ix9XlNTEx4eTqFQ1q1bd//+fWk6hDAzMzMzM/PRo0dqTtGJjIwsLi5OTU395JNPZNN/+umnuLg4MzOz1atXp6SkdGsnJSVl48aN4H9/nzS9qalp8uTJVCr1+PHjP/zwQ7d2MjMzt2zZ8tFHHylOs46Ojk5KSmKxWPPnz1fn1vos6vsvm82eOXMmhHDLli1dzvJX5r8lJSXz58+n0WgffvhhTk4OAGDfvn3ff//9hg0bupSkzH8BACtWrMjOzs7OziYk/fHHHw8ePKDRaJGRkV0WDGX+e/369a1bt+I4PmPGjNbWVgBAcnIyk8lMT09/7733FO0o818Oh0PkydatW2/cuEEk8ni8yMjILVu2KNpR4b+//PLLDz/8wOPxwsLCiFgmH3zwAeFBxDQeOZT5b1lZ2bx582g02vLly7OysgAA9+/f/+CDDyQSSX5+PhGnUhZl/gsA2Lx5M/ESsGDBAgBAS0sLoefo0aPff/+9oiRl/vvo0aPVq1dTKJT33nuPCBQxc+bMqqoqiUQybtw4IlaSLMr8l0hpaGiIj4/fvXs3AODs2bOff/45k8lctGgREUlIFgzDwsLCOjo6jhw5Ig32RXDo0KEff/xxyZIl0pQFCxaUlZUlJydHR0cr3tq/0GgVarLZuHHj+fPnIYSXL19et26dNL2pqSkgIIDY9vf353A4qu3weDxfX19ie+zYsZWVlXIHjBs3TjGxSzZv3nzu3DkI4dWrV9euXdvltTw9Pbu18+TJk3fffRdCKBKJvLy8ujxm0aJF6kSe8PX15fF4EMLIyMh79+7J7nr48GFMTIy/vz+bze7WzqVLlzZs2AAhbGpqCgwMlN0VGRmZkZEhFAq7NQIhFAgEPj4+xPbbb79dXl4u3XX48OE9e/ZwuVxiBddu2bNnz+HDhyGEDx48WLhwoeIBFy5cWLFiRbd2Kioqxo4dS2z7+fnx+Xzpro8++ujGjRsQwm+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", 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"source": [ "n, p = 100, 0.3\n", "plot_cdfpval(n, p; f=Bool[1,1,0,0])" ] }, { "cell_type": "code", "execution_count": 69, "id": "c69a5342", "metadata": {}, "outputs": [ { "data": { "image/png": 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f=Bool[0,0,1,1])" ] }, { "cell_type": "code", "execution_count": 70, "id": "8e08c5cb", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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"plot_cdfpval(n, p; f=Bool[1,1,0,0])" ] }, { "cell_type": "code", "execution_count": 71, "id": "b6a3a3bb", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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f=Bool[0,0,1,1])" ] }, { "cell_type": "markdown", "id": "712fd86a", "metadata": {}, "source": [ "2×2の分割表に関する同様の計算については以下のリンク先を参照せよ:\n", "\n", "* https://github.com/genkuroki/public/blob/main/0037/power%20of%20tests%20for%202x2%20contingency%20table.ipynb" ] }, { "cell_type": "markdown", "id": "31c71885", "metadata": {}, "source": [ "## k=0という極端な場合のP値函数のグラフ" ] }, { "cell_type": "code", "execution_count": 72, "id": "309d7e40", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (10, 0, 0.05) = (10, 0, 0.05)\n", "(a_eti, b_eti) = (1 // 3, 1 // 3) = (1//3, 1//3)\n", "(a_hdi, b_hdi) = (1, 1) = (1, 1)\n" ] }, { "data": { "image/png": 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", "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 72, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@show n, k, α = 10, 0, 0.05\n", "@show a_eti, b_eti = 1//3, 1//3\n", "@show a_hdi, b_hdi = 1, 1\n", "pmin, pmax = 0, 0.56\n", "pstep = 0.05\n", "\n", "plot(p -> pvalue_wilson(k, n, p), pmin, pmax;\n", " label=\"Wilson score\", ls=:solid)\n", "plot!(p -> pvalue_cp(k, n, p), pmin, pmax;\n", " label=\"Clopper-Pearson\", ls=:dot)\n", "plot!(p -> pvalue_sterne(k, n, p), pmin, pmax;\n", " label=\"Sterne\", ls=:dashdotdot)\n", "plot!(p -> pvalue_hdi(k, n, p; a=a_hdi, b=b_hdi), pmin, pmax;\n", " label=\"Bayesian (HDI), prior=Beta($a_hdi, $b_hdi)\", ls=:dash)\n", "plot!(p -> pvalue_eti(k, n, p; a=a_eti, b=b_eti), pmin, pmax;\n", " label=\"Bayesian (ETI), prior=Beta($a_eti, $b_eti)\", ls=:dashdot)\n", "plot!(xguide=\"p\", yguide=\"P-value\")\n", "plot!(xtick=0:pstep:1, ytick=0:0.05:1)\n", "title!(\"P-value functions for n=$n, k=$k\")" ] }, { "cell_type": "code", "execution_count": 73, "id": "7a082e80", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (40, 0, 0.05) = (40, 0, 0.05)\n", "(a_eti, b_eti) = (1 // 3, 1 // 3) = (1//3, 1//3)\n", "(a_hdi, b_hdi) = (1, 1) = (1, 1)\n" ] }, { "data": { "image/png": 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"image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@show n, k, α = 40, 0, 0.05\n", "@show a_eti, b_eti = 1//3, 1//3\n", "@show a_hdi, b_hdi = 1, 1\n", "pmin, pmax = 0, 0.16\n", "pstep = 0.01\n", "\n", "plot(p -> pvalue_wilson(k, n, p), pmin, pmax;\n", " label=\"Wilson score\", ls=:solid)\n", "plot!(p -> pvalue_cp(k, n, p), pmin, pmax;\n", " label=\"Clopper-Pearson\", ls=:dot)\n", "plot!(p -> pvalue_sterne(k, n, p), pmin, pmax;\n", " label=\"Sterne\", ls=:dashdotdot)\n", "plot!(p -> pvalue_hdi(k, n, p; a=a_hdi, b=b_hdi), pmin, pmax;\n", " label=\"Bayesian (HDI), prior=Beta($a_hdi, $b_hdi)\", ls=:dash)\n", "plot!(p -> pvalue_eti(k, n, p; a=a_eti, b=b_eti), pmin, pmax;\n", " label=\"Bayesian (ETI), prior=Beta($a_eti, $b_eti)\", ls=:dashdot)\n", "plot!(xguide=\"p\", yguide=\"P-value\")\n", "plot!(xtick=0:pstep:1, ytick=0:0.05:1)\n", "title!(\"P-value functions for n=$n, k=$k\")" ] }, { "cell_type": "code", "execution_count": 74, "id": "e5330645", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (160, 0, 0.05) = (160, 0, 0.05)\n", "(a_eti, b_eti) = (1 // 3, 1 // 3) = (1//3, 1//3)\n", "(a_hdi, b_hdi) = (1, 1) = (1, 1)\n" ] }, { "data": { "image/png": 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label=\"Clopper-Pearson\", ls=:dot)\n", "plot!(p -> pvalue_sterne(k, n, p), pmin, pmax;\n", " label=\"Sterne\", ls=:dashdotdot)\n", "plot!(p -> pvalue_hdi(k, n, p; a=a_hdi, b=b_hdi), pmin, pmax;\n", " label=\"Bayesian (HDI), prior=Beta($a_hdi, $b_hdi)\", ls=:dash)\n", "plot!(p -> pvalue_eti(k, n, p; a=a_eti, b=b_eti), pmin, pmax;\n", " label=\"Bayesian (ETI), prior=Beta($a_eti, $b_eti)\", ls=:dashdot)\n", "plot!(xguide=\"p\", yguide=\"P-value\")\n", "plot!(xtick=0:pstep:1, ytick=0:0.05:1)\n", "title!(\"P-value functions for n=$n, k=$k\")" ] }, { "cell_type": "code", "execution_count": 75, "id": "4f543415", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(n, k, α) = (640, 0, 0.05) = (640, 0, 0.05)\n", "(a_eti, b_eti) = (1 // 3, 1 // 3) = (1//3, 1//3)\n", "(a_hdi, b_hdi) = (1, 1) = (1, 1)\n" ] }, { "data": { "image/png": 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n, p), pmin, pmax;\n", " label=\"Clopper-Pearson\", ls=:dot)\n", "plot!(p -> pvalue_sterne(k, n, p), pmin, pmax;\n", " label=\"Sterne\", ls=:dashdotdot)\n", "plot!(p -> pvalue_hdi(k, n, p; a=a_hdi, b=b_hdi), pmin, pmax;\n", " label=\"Bayesian (HDI), prior=Beta($a_hdi, $b_hdi)\", ls=:dash)\n", "plot!(p -> pvalue_eti(k, n, p; a=a_eti, b=b_eti), pmin, pmax;\n", " label=\"Bayesian (ETI), prior=Beta($a_eti, $b_eti)\", ls=:dashdot)\n", "plot!(xguide=\"p\", yguide=\"P-value\")\n", "plot!(xtick=0:pstep:1, ytick=0:0.05:1)\n", "title!(\"P-value functions for n=$n, k=$k\")" ] }, { "cell_type": "code", "execution_count": null, "id": "29d69de8", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "@webio": { "lastCommId": null, "lastKernelId": null }, "jupytext": { "encoding": "# -*- coding: utf-8 -*-", "formats": "ipynb,jl:hydrogen" }, "kernelspec": { "display_name": "Julia 1.9.3", "language": "julia", "name": "julia-1.9" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.9.3" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": true, "title_cell": "目次", "title_sidebar": "目次", "toc_cell": true, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 5 }