{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "mbmpJUlNTzFq"
   },
   "source": [
    "## 5-1. 確率分布の定数の決定"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "eN89iSNwUwsZ"
   },
   "source": [
    "### インストール\n",
    "- グラフに日本語フォントを表示するライブラリをインストールします。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "id": "jhDxa2idUt7X"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: japanize-matplotlib in c:\\users\\1765.pcreg\\anaconda3\\lib\\site-packages (1.1.3)\n",
      "Requirement already satisfied: matplotlib in c:\\users\\1765.pcreg\\anaconda3\\lib\\site-packages (from japanize-matplotlib) (3.7.1)\n",
      "Requirement already satisfied: importlib-resources>=3.2.0 in c:\\users\\1765.pcreg\\anaconda3\\lib\\site-packages (from matplotlib->japanize-matplotlib) (5.2.0)\n",
      "Requirement already satisfied: python-dateutil>=2.7 in c:\\users\\1765.pcreg\\anaconda3\\lib\\site-packages (from matplotlib->japanize-matplotlib) (2.8.2)\n",
      "Requirement already satisfied: cycler>=0.10 in c:\\users\\1765.pcreg\\anaconda3\\lib\\site-packages (from matplotlib->japanize-matplotlib) (0.11.0)\n",
      "Requirement already satisfied: packaging>=20.0 in c:\\users\\1765.pcreg\\anaconda3\\lib\\site-packages (from matplotlib->japanize-matplotlib) (23.0)\n",
      "Requirement already satisfied: kiwisolver>=1.0.1 in c:\\users\\1765.pcreg\\anaconda3\\lib\\site-packages (from matplotlib->japanize-matplotlib) (1.4.4)\n",
      "Requirement already satisfied: pyparsing>=2.3.1 in c:\\users\\1765.pcreg\\anaconda3\\lib\\site-packages (from matplotlib->japanize-matplotlib) (3.0.9)\n",
      "Requirement already satisfied: pillow>=6.2.0 in c:\\users\\1765.pcreg\\anaconda3\\lib\\site-packages (from matplotlib->japanize-matplotlib) (9.4.0)\n",
      "Requirement already satisfied: fonttools>=4.22.0 in c:\\users\\1765.pcreg\\anaconda3\\lib\\site-packages (from matplotlib->japanize-matplotlib) (4.25.0)\n",
      "Requirement already satisfied: numpy>=1.20 in c:\\users\\1765.pcreg\\anaconda3\\lib\\site-packages (from matplotlib->japanize-matplotlib) (1.23.5)\n",
      "Requirement already satisfied: contourpy>=1.0.1 in c:\\users\\1765.pcreg\\anaconda3\\lib\\site-packages (from matplotlib->japanize-matplotlib) (1.0.5)\n",
      "Requirement already satisfied: zipp>=3.1.0 in c:\\users\\1765.pcreg\\anaconda3\\lib\\site-packages (from importlib-resources>=3.2.0->matplotlib->japanize-matplotlib) (3.11.0)\n",
      "Requirement already satisfied: six>=1.5 in c:\\users\\1765.pcreg\\anaconda3\\lib\\site-packages (from python-dateutil>=2.7->matplotlib->japanize-matplotlib) (1.16.0)\n"
     ]
    }
   ],
   "source": [
    "!pip install japanize-matplotlib"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "CDKMV-ZlTzFt"
   },
   "source": [
    "### インポート\n",
    "- scipy.integrateのquadで１次元の積分計算を行います。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "id": "Ftjwyu11TzFt"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy.integrate import quad\n",
    "from scipy.stats import norm\n",
    "import matplotlib.pyplot as plt\n",
    "import japanize_matplotlib"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "u7j8p9E3TzFu"
   },
   "source": [
    "### 共通処理の定義\n",
    "- 積分計算とグラフ表示の共通処理をPython関数で定義します。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "id": "RRl2TdMqTzFu"
   },
   "outputs": [],
   "source": [
    "# xの型に応じて関数case_f(x)の処理を変える\n",
    "def f(x):\n",
    "    if isinstance(x, (int, float)): # xがint型、float型の場合、map処理が不要\n",
    "        fx = def_f(x)\n",
    "    else:\n",
    "        fx = list(map(lambda z: def_f(z), x))\n",
    "    return fx\n",
    "\n",
    "#  積分計算、関数・積分区分のプロット\n",
    "def f_plot(x_min=0, x_max=1, a=None, b=None):\n",
    "    japanize_matplotlib.japanize()\n",
    "    if a is None:\n",
    "        a = x_min\n",
    "    if b is None:\n",
    "        b = x_max\n",
    "\n",
    "    # 関数の値の取得\n",
    "    x = np.linspace(x_min, x_max, 1000)  # 変数 X の値を取得\n",
    "    y = f(x)                             # 関数f(x)の値を取得\n",
    "\n",
    "    # 積分区間[a,b]の定積分計算\n",
    "    result = quad(f, a, b, limit=1000) \n",
    "\n",
    "    # 関数の描画\n",
    "    plt.plot(x, y)\n",
    "\n",
    "    # 積分区間[a,b]の領域の描画\n",
    "    y0 = 0                               # y=0\n",
    "    x_ab = np.linspace(a, b, 1000)       # 積分区間[a,b]の変数Xの値を取得\n",
    "    y_ab = f(x_ab)                       # 積分区間[a,b]の関数f(x)の値を取得\n",
    "    plt.fill_between(x_ab, y_ab, y0,     # 面を塗りつぶす描画\n",
    "                     alpha=0.1) \n",
    "    plt.hlines(y0, x_min, x_max, lw=0.5, # y=0の水平線の描画 x_min≦X≦x_max\n",
    "               color='gray', ls='--')\n",
    "    plt.hlines(y0, a, b, lw=0.5)         # y=0の水平線の描画 a≦X≦b\n",
    "    plt.vlines(a, y0, y_ab[0], lw=0.5)   # x=aの垂直線の描画\n",
    "    plt.vlines(b, y0, y_ab[-1], lw=0.5)  # x=bの垂直線の描画\n",
    "\n",
    "    plt.title(f'定積分 $\\int^b_a f(x)dx={result[0]:.3f}$\\n $a={a:.2f}, b={b:.2f}$')\n",
    "    plt.show()\n",
    "    return result"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "VOvAx63bTzFv"
   },
   "source": [
    "### さまざまな確率密度関数の定積分・プロット処理の実行"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "PqDQkXeNTzFw"
   },
   "source": [
    "- 公式問題集の問題の確率密度関数  \n",
    "$\n",
    "f(x)=\n",
    "\\begin{cases}\n",
    "-\\cfrac{1}{200}x+\\cfrac{1}{10} &(0\\leq x \\leq 20)\\\\\n",
    "0 &(x<0, x>20)\n",
    "\\end{cases}\n",
    "$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "id": "txbcm4a_TzFw"
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 確率密度関数：f(x)=-1/200x+1/20 (0≦x≦20), f(x)=0 (other)\n",
    "\n",
    "# 【設定】確率密度関数f(x)の定義\n",
    "def def_f(x, **kwargs):\n",
    "    if x < 0:\n",
    "        fx = 0\n",
    "    elif x <= 20:\n",
    "        fx = -x/200 + 1/10\n",
    "    elif x > 20:\n",
    "        fx = 0\n",
    "    return fx \n",
    "\n",
    "# 【設定】関数f(x)の描画区間[x_min,x_max]\n",
    "x_min, x_max = -10, 30\n",
    "\n",
    "# 【設定】定積分の積分区間[a,b]\n",
    "a, b = 5, 15\n",
    "\n",
    "# 処理の実行\n",
    "integrate_result = f_plot(x_min, x_max, a, b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "hDwK14jhTzFw"
   },
   "source": [
    "- 確率密度関数 例1  \n",
    "$\n",
    "f(x)=\n",
    "\\begin{cases}\n",
    "0.1 &(0\\leq x\\leq10)\\\\\n",
    "0 &(x<0, 10<x)\\\\\n",
    "\\end{cases}\n",
    "$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "id": "GPdIuC-ZTzFx"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 確率密度関数：f(x)=1/10 (0≦x≦10), f(x)=0 (other)\n",
    "\n",
    "# 【設定】確率密度関数f(x)の定義\n",
    "def def_f(x, **kwargs):\n",
    "    if x < 0:\n",
    "        fx = 0\n",
    "    elif x <= 10:\n",
    "        fx = 0.1\n",
    "    elif x > 10:\n",
    "        fx = 0\n",
    "    return fx \n",
    "\n",
    "# 【設定】関数f(x)の描画区間[x_min,x_max]\n",
    "x_min, x_max = -5, 15\n",
    "\n",
    "# 【設定】定積分の積分区間[a,b]\n",
    "a, b = 2, 8\n",
    "\n",
    "# 処理の実行\n",
    "integrate_result = f_plot(x_min, x_max, a, b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "0Wm-r2Q9TzFx"
   },
   "source": [
    "- 確率密度関数 例2  \n",
    "$\n",
    "f(x)=\n",
    "\\begin{cases}\n",
    "x/6 &(0\\leq x<2)\\\\\n",
    "1/3 &(2\\leq x\\leq4)\\\\\n",
    "0 &(x<0, 4<x)\\\\\n",
    "\\end{cases}\n",
    "$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "id": "tAqxHQr8TzFx"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 確率密度関数：f(x)=x/6 (0≦x＜2), f(x)=1/3 (2≦x≦4),  f(x)=0 (other)\n",
    "\n",
    "# 【設定】確率密度関数f(x)の定義\n",
    "def def_f(x, **kwargs):       \n",
    "    if x < 0:\n",
    "        fx = 0\n",
    "    elif x < 2: \n",
    "        fx = x/6\n",
    "    elif x <= 4:\n",
    "        fx = 1/3\n",
    "    else:\n",
    "        fx = 0\n",
    "    return fx \n",
    "\n",
    "# 【設定】関数f(x)の描画区間[x_min,x_max]\n",
    "x_min, x_max = -1, 5\n",
    "\n",
    "# 【設定】定積分の積分区間[a,b]\n",
    "a, b = 1, 3\n",
    "\n",
    "# 処理の実行\n",
    "integrate_result = f_plot(x_min, x_max, a, b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "297we8vJTzFx"
   },
   "source": [
    "- 確率密度関数 例3  \n",
    "$\n",
    "f(x)=\n",
    "\\begin{cases}\n",
    "x+1 &(-1\\leq x\\leq0)\\\\\n",
    "-x+1 &(0\\leq x\\leq1)\\\\\n",
    "0 &(x<-1, 1<x)\\\\\n",
    "\\end{cases}\n",
    "$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "id": "6ILhE13RTzFx"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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eZtrzE088ITQaTZtZKHv27BEAxIkTJ1otz8rKEvfcc48ICAgQISEhIjU1VaxevVoAEJ9//nmX9uUM1dXV4tlnnxUxMTFCrVaLIUOGtCkorUXvK6+80mr5tGnThL+/f5vz4kbLly8XycnJIjg4WCgUChEZGSlmz54tjh071qUsRFJjIUIkLP0+evToIUpKSmzLqqqqxFtvvSWmTp0q4uLihEajaTWNUy6XtykIbixEHn30UTFkyBCxYsUK0dDQ0Gq9w4cPiwkTJog5c+bYln333XfCx8dHJCQkiM8++8y2fPv27SIqKkqo1WqhVCpFSkqKKC0ttftnzMrKEgDE8OHD7d7WHlu2bBEKhUIYDIYubf/II4+IcePGOTgVEbkqmRAtVzgRebGcnBzU1ta2ui6hPUajESaTCQqF4qazJ6zr3mqd5uZmqFQq29cnTpzA0KFDb7ldZ+Xl5eHy5csYP348Ll68iBEjRmDy5MnYt2+fQ56/PUIIjBs3DiNGjMCKFSvs2vbq1asYMGAA9u7diwkTJjgpIRG5El6sSgQgISHhlkUIYJm6qdFoOlUodGadG4sQwHLRpKOKEAB4//33MW3aNOzZsweHDh0CAPTo0aPD9fPy8jBjxgxERkYiJCQETz75pN130JXJZFi5ciW0Wq3d2+bm5mLFihUsQoi8CEdEiDzY5cuXkZSUBLVajaamJjQ3N+OLL77A3Xff3e76Fy5cQGlpKcaOHYuCggJMmDABa9asaTOFmIjIUTgiQuTB+vXrh9WrVyMwMBB6vR7r16/vsAgBLF1KJ02aBJVKhYSEBIwZMwbl5eXdmJiIvA1HRIjIZtOmTXjnnXdw9epVGI1G1NTUID09vVVLcSIiR2IhQkQAgC+//BLPPfccPvroIwwaNAhlZWXo0aMHysrKoFarpY5HRB6KH80QEQDgzJkzSExMRK9evVBQUIBHHnkEPXv2ZBFCRE7FQoSIAAAPP/wwrl+/jqioKPzkJz/BwIEDW90hmIjIGfjRDBEREUmGIyJEREQkGRYiREREJBkWIkRERCQZFiJEREQkGRYiREREJBkWIkRERCQZFiJE1EZNTQ1++ctfQqvVwsfHB8nJyfjwww87te3+/fshk8nafRw5csSh+2rvuRQKBf7yl790afvb0V3HzJHHi8gVOO5+40TkMR544AGkp6fjT3/6E/r27YtNmzZhwYIFMJvNWLhwYaee4/XXX8eUKVNaLRs8eLBT9mV14sQJmM1mjB492q7tHKG7jpkjjxeRSxBERDf4/PPPBQCxadOmVsunTZsmtFqtMBqNN91+3759AoDYvHmz0/f1Q3/5y1+EQqEQtbW1dm13u7rrmDn6eBG5An40Q+Qgx44dw7x585CYmAhfX19ERUVh9uzZuHr1qtTR7PLJJ58gICAAc+fObbX8scceQ0FBAY4ePeqy+0pPT8fgwYNx6NAhTJw4Ef7+/ujduzfeffddh2VuT3cds+783RB1FxYiRA5y+vRpDB06FO+88w6++OILvP3228jIyMADDzzQ7vpCCBiNxk49utO5c+cwYMAAKJWtP7kdMmSI7fud8fOf/xxKpRJBQUGYPn060tLSnLYvq+PHj6O0tBQvvfQSnnnmGfznP//BgAED8Mwzz+DTTz9tdxtH/B6665g5+ngRuQJeI0LkIE8++aTt32azGWazGQ0NDVi8eDEqKioQEhLSav2vv/66zfUAHcnKykJiYqID03bs+vXr6NmzZ5vlYWFhtu/fTHBwMJ577jlMnjwZ4eHhuHLlCt58801MnjwZn3/+OaZPn+6wfd2ovLwcV69exaBBg/D111/D19cXADBx4kTExcXhww8/xP33399mO0f8HrrrmDnyeBG5ChYiRA4ghMDWrVvx97//HZcuXUJRURFEy/0k5XK57U3xRiNGjEB6enqnnl+r1XZqvf3793f6TfXUqVNITk5u93symazD7W72PQAYNmwYhg0bZvt64sSJmD17NpKSkrBkyZJWhcjt7utGx48fBwC8+uqrrY63n58f+vTpg2vXrrW7naN+D911zBx1vIhcBQsRIgd48sknsW7dOjz11FN49tlnERkZCY1Gg8WLF6O+vh4ajabNNgEBAR0WAj/0w6H4jvTr1w8rV67s1Lrx8fHtLg8PD2/3L+uysjIA3//1bY+QkBDMmjUL//znP1FfX28rFBy5r+PHj8Pf3x8/+tGP2nyvqKgIkyZNanc7R/weuuuYOWM/RFJjIUJ0my5fvoxVq1bhjTfewK9//Wvb8tLSUpw/fx4PPfRQu9s546OZ2NhYLF68uFPP2ZGkpCR88MEHMBqNrd54z549C6D9KbidYR0huvGvdkfu6/jx44iKioJCoWi1/NChQ8jJycHMmTPb3c4Rv4fuOmbO2g+RlFiIEN2mnJwcAMDAgQNbLX/uuedgNBoxcuTIdrdzxkczjjB79mysXLkSW7duxbx582zL169fD61W26UeHeXl5di+fTuSk5Ph4+PjlH2lp6ejuLi41fU4RqMRv/nNb9C/f3/MmTOn3e0c8XvormPmjP0QSU7KucNEnqCoqEj4+fmJYcOGic8//1xs2bJFTJ8+XfTq1UsAEN98843UEe02bdo0ERoaKt577z2xd+9e8cQTTwgAYuPGja3W279/v1AoFGLZsmW2ZQsWLBC/+c1vxObNm8W+ffvEe++9J/r16yeUSqXYvXt3l/cFQNxxxx3t5i0uLhYARK9evcTUqVPFzp07xSeffCImT54sgoODxdmzZ2//oNxCZ36O9o6XEPYds84eLyJ3wUKEyAG2b98u+vfvLzQajRg4cKB45513xB//+Echl8tFdXW11PHsVl1dLZ599lkRExMj1Gq1GDJkiPjggw/arGdtxPXKK6/Yli1fvlwkJyeL4OBgoVAoRGRkpJg9e7Y4duxYl/dVXV0tAIj58+e3+xzWRl9HjhwRTzzxhAgKChJBQUHiwQcfFBkZGV0/EHbozM/R3vESwr5j1tnfDZG7kAnR8iEkEZGL2rFjB2bNmoUzZ84gKSlJ6jhE5EBsaEZELm/fvn2YP38+ixAiD8QRESIiIpIMR0SIiIhIMixEiIiISDIsRIiIiEgyLESIiIhIMixEiIiISDIu3+LdbDajoKAAgYGBvLMkERGRmxBCoLq6GlqtFnJ5x+MeLl+IFBQUIC4uTuoYRERE1AV5eXnQ6/Udft/lC5HAwEAAlh8kKChI4jRERETUGVVVVYiLi7O9j3fE5QsR68cxQUFBLESIiIjczK0uq+DFqkRERCQZFiJEREQkGRYiREREJBkWIkRERCQZFiJEREQkGRYiREREJBkWIkRERCQZFiJEREQkGbsKEbPZjCNHjuCFF15AWFgY1q1bd9P18/PzMW/ePCQmJkKn0+H5559HY2Pj7eQlIiIiD2JXIbJ27Vo8++yz8PPzg0KhuOm6TU1NmDZtGvR6Pa5cuYLz58/jxIkTeP75528rMBEREXkOmRBCdGXDxMRE/P73v8ejjz7a7vc3btyI5557DoWFhVCr1QCAEydOYNy4ccjPz0dERESn9lNVVYXg4GBUVlayxTsREZGb6Oz7t9OuEdm7dy+mT59uK0IAYMSIEQgPD8eePXuctVsiIiJyI0676V1BQQEGDx7cZrlOp0N+fn6H2zU2Nra6jqSqqsop+YhIetmltVDIZYgL85M6ChFJxGkjIiqVCnJ526e/1V34li9fjuDgYNsjLi7OWRGJSELp2WWY8v/tx5S/7Mf5gkqp4xCRRJxWiOj1ehQUFLRZXlhYCJ1O1+F2S5cuRWVlpe2Rl5fnrIhEJKF/7L8KIQCjWeC9bzKljkNEEnFaIXLPPffgyy+/hNFotC27dOkSiouLMXXq1A6302g0CAoKavUgIs9ypbgGey8V277+/NtCFFTUS5iIiKTitEJk5syZiIqKwssvvwyTyYTKyko888wzeOyxxzo9Y4aIPNPqtCwAwKS+ERgeHwKjWWD9oWxpQxGRJBxWiBgMBuj1emzevBkAoFQqsWvXLly4cAFxcXEYNGgQkpKS8M477zhql0Tkhq7XNOI/Jw0AgIWj4vHw6AQAwKZjuahpNN5sUyLyQF2eNZOdnd3qa71eD4PB0GbZtm3buroLIvJAG4/kotFoxoDYQCTHhUAASAjzQ05ZHT5Oz8OiCT2kjkhE3Yj3miGibtPQbMKGI9kALKMhMpkMcpkM80dZZsetOZgFk7lLPRaJyE2xECGibvPZ6QKU1jQhOkiDO/tH2ZbfmxSLYF8VDOX1+PJ8kYQJiai7sRAhom4hhMCqNMs03YdGxkGp+P7lx0elwAPDLdP6Vx7gVF4ib8JChIi6xTfflSLjWg381Arcn9y2l9DcEXqoFDKczK3AiZxyCRISkRRYiBBRt1jVMtLxo6FaBPi0vU4+PECD6YNiAACr0zgqQuQtWIgQkdNdKqrCge9KIZcB81I6vm3DwlHxAIBd54qQV1bXXfGISEIsRIjI6VYdsDQwm9IvCtoQ3w7X6xUVgNE9wmAWlhk0ROT5WIgQkVMVVzVg22nLHbcXjo6/5frWdT5Oz0NlfbNTsxGR9FiIEJFT/ftwDppNAkP0wRisC77l+qN7hKFXpD9qm0z48FhuNyQkIimxECEip6lvMmHj0RwA31//cSsymQwLWtZddygbzSaz0/IRkfRYiBCR02w5aUBFXTN0Ib6Y1Dey09tNHxSDMH81CisbsONsoRMTEpHUWIgQkVOYzQJrWu6yOz8lDgq5rNPbqpVyzB2hB2BpcCYE274TeSoWIkTkFHsuFSOrtBYBGiVmDY21e/sHhuugUcpxLr8KR7PKnJCQiFwBCxEicgprA7PZw3TwU9t/o+8QPzXuTYpteS5O5SXyVCxEiMjhzhoqcTSrDAq5DHNH6rv8PAta7sq759I1ZJbUOCoeEbkQFiJE5HDWm9tNGxCN6CCfLj9PQrg/JvSOgGCDMyKPxUKEiByqoKIen39rmemyYHTH7dw7y9rgbMsJA8prm277+YjItbAQISKHWn8oG0azwPD4EPSPCbrt5xseH4J+0YFoaDbj/ZaeJETkOViIEJHD1DQasamlG+rDoxMc8pwymcw2KrL+cA4ajSaHPC8RuQYWIkTkMB+n56G6wYiEMD+M6x3usOe9a0AUIgM1KKluxGenCxz2vEQkPRYiROQQJrOwXVA6f1Qc5LLONzC7FaVCjnkjLdebrE7LYoMzIg/CQoSIHOKL80UwlNcj2Fdl6//hSPcla+GrUuBSUTXSrpQ6/PmJSBosRIjIIawNzOYM18FHpXD48wf5qpA6lA3OiDwNCxEium0ncspxMrcCKoUMD47oegOzW5mfEg+5DPg6owQZ16qdth8i6j4sRIjotq1uaWB2z+AYhAdonLYfXagv7mi5i+9qjooQeQQWIkR0W/LK6rDrXBEAYEFKvNP3Z53K+8mpfJRUNzp9f0TkXCxEiOi2rDmYBbMARvcIQ6+oAKfvL0kXjEHaIDSZzNhwhA3OiNwdCxEi6rLK+mZ8nJ4H4PuRCmeTyWR4uGVfG4/koKGZDc6I3BkLESLqsg+P5aK2yYRekf4Y3SOs2/Z7R79IxAb7oKy2Cf85md9t+yUix2MhQkRd0mwyY92hbADAglHxkDmwgdmtKOVyzEuxNjjLhNnMBmdE7oqFCBF1yY6zhSisbECYvxrTB8V0+/5Th2rhr1Hgakkt9mcUd/v+icgxWIgQkd2EEFjZ0sBs7gg91MrufykJ0Chxf7IOABucEbkzFiJEZLejWWU4l18FjVKOB4brJMvx0Mg4KGQyHLp6HecLKiXLQURdx0KEiOxmHYGYmRSLED+1ZDlign0wdUAUADY4I3JXLESIyC6ZJTXYc+kaAMtddqVmnTb82ZkCFFU2SJyGiOzFQoSI7LLmYBaEACb2iUBCuL/UcTAgNgjD4kJgNAusP5wtdRwishMLESLqtPLaJmw5YQBgmbLrKha0jIq8fyQHtY1GidMQkT1YiBBRp71/NAcNzWb0iw7E8PgQqePYTOgdAX2oL6oajLZCiYjcAwsRIuqURqMJ6w9b7u2ycHT3NjC7FYVcZhuhWXMwCyY2OCNyGyxEiKhTPjtdgJLqRkQGanBXy0wVVzIzKRZBPkrkXK/D7gvXpI5DRJ3EQoSIbkkIgdVplumx80bGQalwvZcOX7UCDwzXA7C0fSci9+B6ryZE5HLSrpTiUlE1fFUK3JeslTpOhx4coYdSLkN6djlO51VIHYeIOoGFCBHdkrWBWerQWAT5qiRO07HIQI3tvjerDnBUhMgdsBAhopvKuFaNrzNKIJcB81NcZ8puR6xN1naeK4KhvE7iNER0KyxEiOimrK3T7+gbCV2or8Rpbq1vdCBGJYbBZBZYdzBb6jhEdAssRIioQyXVjfjkVD6A71upu4MFoy2jIh+m56GqoVniNER0MyxEiKhDG47koMlkxmBdEIboQ6SO02lje4ajR4Q/ahqN+Dg9T+o4RHQTLESIqF0NzSZsPNLSwMyF2rl3hkwmw4KWa0XWHsyG0WSWOBERdYSFCBG16z8n81FW24TYYB/c0S9S6jh2u2dwDEL9VMivqMfOc0VSxyGiDrAQIaI2zGaBVS1NwealxEEpd7+XCo1SgQdHWBqcrTqQCSHY9p3IFbnfqwsROd3+jGJkltTCX6NA6lDXbWB2Kw8M10OtkOOMoRLHc8qljkNE7WAhQkRtWBuY3Z+sQ4BGKXGargvzV2NGEhucEbkyFiJE1Mr5gkocunodCpkMD42MkzrObbPelffLC9eQXVorcRoi+iEWIkTUirWB2dQBUYgJ9pE4ze3rEeGPcb3CIQSw9mCW1HGI6AdYiBCRTVFlAz47UwDAvRqY3Yp1+vHHxw2oqGuSOA0R3YiFCBHZrD+cDaNZYFhcCAbEBkkdx2FGJoaiT1QA6ptN2HQsV+o4RHQDFiJEBACobTTi/ZYGZgs8aDQEsDQ4s47wrD+UjSYjG5wRuYouFSLr1q3D4MGDodfrkZKSgrS0tA7X3bNnD+644w7o9XokJCTgoYcewtWrV7scmIicY8sJA6oajNCH+mJinwip4zjctIHRiAhQ41pVI7Z/WyB1HCJqYXchsmHDBixduhSbN2+GwWDAkiVLMHPmTGRmtp0ad/LkScycORPPPPMMDAYDMjIyoNPpMHnyZNTX1zvkByCi22cyC6xOs1zIuWBUPOQymcSJHE+lkGNuyyyglQey2OCMyEXYXYgsW7YML774IgYMGAAAmDt3LiZNmoQVK1a0WXf37t0YOHAg5s6dCwDQaDT4/e9/D4PBgIsXL95mdCJylN0XriG3rA5BvkrMTIqVOo7TzB6mg49KjouFVTh89brUcYgIdhYiubm5uHr1KlJTU1stT01Nxc6dO9usP2LECGRkZODSpUu2ZZ9//jmioqLQt2/fLkYmIkezNvt6YJgevmqFxGmcJ9hXhVlDLJ1iV7LBGZFLsKtlYkGB5XNVrbZ1y2edTof8/Pw2699111145513cO+992Ly5MkoLi6GWq3GgQMHEBAQ0O4+Ghsb0djYaPu6qqrKnohEZKdTueU4nlMOpVyGuSP1Usdxuvkpcdh6woB9l0twpbgavaMCpY5E5NXsGhFRqVSWjX5wAyxZB58nm0wm5ObmIiYmBikpKRg+fDi+/fZbfP311x3uY/ny5QgODrY94uLcv7MjkStb1XJtyPRBMYgI0Eicxvniwvwwqa/lbsLW62KISDp2FSJ6veWvJevIiFVhYSF0Ol2b9f/85z9jx44d+Prrr/Gzn/0Mf/jDH/DVV1/hV7/6VYfFyNKlS1FZWWl75OXl2RORiOyQV1aHnWcLAQDzR3lP0b+g5WfdejIf12sab7E2ETmTXYVIdHQ0kpOTsWPHjlbLd+/ejRkzZrRZPy0tDePHj7eNpABAYmIievfujaNHj7a7D41Gg6CgoFYPInKO9YeyYRbAqMQw9I32no8okuNCMDA2CE1GMzYeYYMzIinZPWtmyZIleOONN5CRkQEA2LZtG3bu3Imnn366zbpTpkzBRx99hPT0dACWj2pWrlyJc+fOYerUqbcZnYhuR1VDMz5Mt4w4LhjtPaMhgOXjZOuoyIYj2WhoNkmciMh72X1/7wULFqCqqgqzZs1CTU0N9Ho9tm/fjt69e8NgMGDMmDF4++23MXfuXPzqV7+CWq3G448/juvXr8NkMiEpKQm7du3CiBEjnPHzEFEnfZyeh5pGI3pE+GNsz3Cp43S7OwdE4d19V1FU1YBtp/MxL8WzuskSuQuZcPGuPlVVVQgODkZlZSU/piFyEKPJjDve3I/8inq8dG9/3Jfc9hovb/D+0Rz8354r6BMVgC+fn9ThhfdEZL/Ovn/zXjNEXmjnuSLkV9Qj1E+FewbHSB1HMvcN1cFPrcB3xTX4OqNE6jhEXomFCJGXEULYGpg9OEIPjdJzG5jdSoCPEvclW/oirTrAqbxEUmAhQuRljueU44yhEmqFHHOGe34Ds1uZlxIHuQxIu1KKi4VsoEjU3ViIEHmZld9YRkNmJMUg1F8tcRrpxQb74s7+UQA4KkIkBRYiRF4ku7QWuy9eA2C5yy5ZLBxtORafnclHcVWDxGmIvAsLESIvsuZgFoQAxvUKR48If6njuIxB2mAM0Qej2SSw/nC21HGIvAoLESIvUVHXhM3HDQCAhRwNacN6TN4/mou6JqPEaYi8BwsRIi/x/tFc1Deb0CcqACMTQ6WO43Im9Y2ELsQXFXXN2HrCIHUcIq/BQoTICzQZzVh/KBuA5XoINu5qSyGXYX6Kpe376rQsmM0u3euRyGOwECHyAtu/LUBxdSMiAtSYNjBa6jgua9bQWAT6KJF9vQ57LhVLHYfIK7AQIfJwQgisbJmWOndkHFQK/rfviJ9aidnDLO3uV7Y0fSMi5+IrEpGHO3z1Oi4WVsFHJbe9yVLH5o7UQyGX4VhWGb41VEgdh8jjsRAh8nDWv+xnDdEi2FclcRrXFxXoY/v4ig3OiJyPhQiRB7tSXI19l0sgA2wXYtKtWafyfn62EAUV9RKnIfJsLESIPNjqNMtf9JP6RiIuzE/iNO6jX0wgRiSEwmQWWNcy24iInIOFCJGHul7TiK0n8wF838KcOs96zD44mouaRjY4I3IWFiJEHmrDkRw0Gc0YGBuEofpgqeO4nXG9wpEQ5ofqRiM+Ss+TOg6Rx2IhQuSBGppN2HA4BwAbmHWVXCbDgpZRkbUHs2A0mSVOROSZWIgQeaBPT+Xjem0TYoJ8MKV/pNRx3NaMwTEI9lXBUF6PL85fkzoOkUdiIULkYYQQWNVykepDKXoo5fxv3lU+KgXmDLf0XlmVxgZnRM7AVygiD/N1RgmuFNfAT63AfUPZwOx2PThCD5VChlO5FTiRUy51HCKPw0KEyMNYm3Ddl6xFgI9S4jTuLzxAg3sGxwAAVrHtO5HDsRAh8iAXC6uQdqUUchkwjw3MHMba4OyL80XIvV4ncRoiz8JChMiDWEdD7uwfhdhgX4nTeI6ekQEY0zMMZgGsOci270SOxEKEyEMUVzXgszNsYOYs1mP68fE8VNY3S5yGyHOwECHyEOsPZ6PZJDBEH4xBWjYwc7RRiWHoHRmAuiYTPjiWK3UcIo/BQoTIA9Q1GfH+Ucub48McDXEKmUyGBaMt192sO5iNZjY4I3IIFiJEHmDrCQMq6pqhD/XFxD5sYOYsdw+MQbi/GkVVDfj820Kp4xB5BBYiRG7ObBa2u+zOT4mDQs527s6iVsoxd6QegKXBmRBC4kRE7o+FCJGb++riNWRfr0OgjxIzh8RKHcfjzR6mg0Ypx7n8KhzJLJM6DpHbYyFC5Oas7dxnD9PBT80GZs4W4qfGzCRLwbeabd+JbhsLESI39q2hAseyyqCQy2wfGZDzLWhpcPbVxWJcLamROA2Re2MhQuTGrA3Mpg2MRlSgj8RpvEd8uB8m9okAAKxJY4MzotvBQoTITRVU1OPzs5aZG9YW5NR9rMd860kDymqbJE5D5L5YiBC5qXWHsmEyC4xICEW/mECp43idYfEh6BcTiIZmM94/kiN1HCK3xUKEyA3VNBrxQUsDM7Zzl4ZMJrM1j1t/OAeNRpPEiYjcEwsRIjf0UXoeqhuNSAjzw7he4VLH8VpT+0chKlCD0ppGbDtdIHUcIrfEQoTIzRhNZqxtuQPsgtHxkMvYwEwqSoUcD6VY2r6vPpDFBmdEXcBChMjNfHH+Ggzl9QjxVWHG4Bip43i9+5O18FMrcPlaNQ58Vyp1HCK3w0KEyM2sammiNWeEHj4qhcRpKNBHhdShWgDfN5cjos5jIULkRk7klOFUbgXUCjnmDNdJHYdazE+Jg1wGfJNRgstF1VLHIXIrLESI3Ii1gdk9g2MQHqCROA1ZaUN8MblfFAC2fSeyFwsRIjeRe70OX5wvAgAsGBUncRr6IWuDs09PFaC4ukHiNETug4UIkZtYczALZgGM6RmGnpEBUsehH0jSB2OwLghNJjM2HmaDM6LOYiFC5AYq65rx8fE8AGxg5sqsoyIbjuSgvokNzog6g4UIkRv4ID0XdU0m9I4MwKjEMKnjUAfu6BeJ2GAflNc14z+nDFLHIXILLESIXFyzyYx1B7MBAAtGx0HGBmYuSymXY761wVlaFsxmNjgjuhUWIkQu7vNvC1FU1YBwfzXuHsgGZq4udagWARolMktqse9ysdRxiFweCxEiFyaEsDUwmztSD7WS/2Vdnb9GifuHtTQ4O8AGZ0S3wlc1Ihd2JLMM5/KroFHK8cAwvdRxqJMeGhkHhVyGw5nXcS6/Uuo4RC6NhQiRC7M2x5o1JBbBfiqJ01BnRQf54K4B1gZnHBUhuhkWIkQu6mpJDb66WAwZgPkpnLLrbha0TOX975kCFFbWS5yGyHWxECFyUWta/pKe0CcC8eF+Eqchew2IDcLw+BAYzQLrD7HBGVFHWIgQuaCy2iZsOWHpQ2FtkkXuxzoqsuloDmobjRKnIXJNLESIXND7R3LQaDSjX0wghsWHSB2HumhCnwjEhfmiqsGIzS2dcYmoNRYiRC6modmE9S33Knl4dDwbmLkxuUyGBS3X96w5mA0TG5wRtdGlQmTdunUYPHgw9Ho9UlJSkJaWdtP1//a3v6Fv377Q6XQYOHAg1q1b15XdEnmFz84UoLSmEVGBGkztHyV1HLpNM4fEIshXidyyOuy+UCR1HCKXY3chsmHDBixduhSbN2+GwWDAkiVLMHPmTGRmZra7/ptvvol//OMf+OKLL5Cfn49169Zh2bJlMBh4HwaiHxJCYHVLE6yHUuKgVHDQ0t35qBSY09IDZiUbnBG1Yfer3LJly/Diiy9iwIABAIC5c+di0qRJWLFiRZt1q6qqsGzZMrz77rvo0aMHAGDUqFG4cuUK9Ho2ZyL6oQPfleLytWr4qRW4P1krdRxykAdH6qFSyHAipxwnc8uljkPkUuwqRHJzc3H16lWkpqa2Wp6amoqdO3e2WX/v3r1Qq9WYPHlyq+UKhcL+pEReYFXLlN3UoVoE+rCBmaeICNDg7kGW+wSxwRlRa3YVIgUFBQAArbb1X2o6nQ75+flt1r9y5Qr69++PrVu3YuTIkUhMTMTMmTPx7bffdriPxsZGVFVVtXoQeYPLRdX4JqMEchlsd3Alz7FglOV3uvNsIfLK6iROQ+Q67CpEVCrLX2hyeevNOrqq32Qy4fLly/jss8/w1VdfISMjA1OmTMHEiRM7vEZk+fLlCA4Otj3i4viCTN7B2s59cr8oaEN8JU5DjtYnKhCjeoTBLIB1h7KljkPkMuwqRKzXdVhHRqwKCwuh0+narB8fH4/GxkasWrUKISEhUKvVePHFF6HVarFt27Z297F06VJUVlbaHnl5nHtPnq+4ugGfnrL8v2IDM89l/d1+lJ6HqoZmidMQuQa7CpHo6GgkJydjx44drZbv3r0bM2bMaLP+2LFjIZfLYTS27Sio0Wja3YdGo0FQUFCrB5Gn23g4B00mM5J0wUjSB0sdh5xkTM8w9IjwR02jER8d4x9ZREAXZs0sWbIEb7zxBjIyMgAA27Ztw86dO/H000+3WTcxMREPPfQQFi1ahOrqapjNZvz1r39FaWkpfvSjH91+eiIPUN9kwoYjlgZm1usIyDPJZDLbqMjag1loNpklTkQkPbsLkQULFuDll1/GrFmzoNVq8dprr2H79u3o3bs3DAYD9Ho9Nm/ebFt/xYoViImJQb9+/aDT6bB9+3bs2bMHUVFs1EQEAP85ZUB5XTO0IT6Y3I//Lzzd9MHRCPVToaCyATvPscEZkUwI4dI9h6uqqhAcHIzKykp+TEMex2wWuOutr5FZWovn7+qD+bw+xCusOpCJlQeyMEQfjG0/H882/uSROvv+zbaNRBLad7kYmaW1CNAokTqUDcy8xZzhemiUcnxrqER6NhuckXdjIUIkoZUHLFN27x+mhb9GKXEa6i6h/mrMGGxpcGY9B4i8FQsRIomcy6/EkcwyKOQyPDSSF6l6mwUtH8N9dfEaskprJU5DJB0WIkQSsbb6vmtAFKKDfCROQ90tMcIf43uHQwjLDBoib8VChEgChZX1+O8ZSwOzBbxA1WtZp/JuPm5ARV2TxGmIpMFChEgC6w/lwGgWGB4fggGxnA3mrUYkhKJvdADqm014/2iu1HGIJMFChKib1TYasemotYEZR0O8mUwms50D6w9lo8nIBmfkfViIEHWzzcfzUNVgRFyYLyb0iZA6Dkls2sBoRAZoUFzdaPu4jsibsBAh6kYms8Cag9kAgAUp8ZCzkZXXUynkmDvSckPRlQcy4eI9JokcjoUIUTfafaEIuWV1CPJVYuaQWKnjkIuYPUwHH5Ucl4qqcejqdanjEHUrFiJE3WjlAcs0zTnD9PBRKSROQ64iyFeF1CGWzrpscEbehoUIUTc5mVuOEznlUClkeLBlKJ7Ial5KHGQA9l8uwXfXqqWOQ9RtWIgQdZPVLaMhdw+KQUSARuI05GriwvxwR99IAN83uyPyBixEiLpBXlkddp4rBAAsGMV27tS+BaMtU3n/cyofpTWNEqch6h4sRIi6wdqD2TALYFSPMPSJCpQ6DrmoofpgDNIGocloxobDOVLHIeoWLESInKyqoRkfpVu6Zi5kAzO6iRsbnG08koOGZpPEiYicj4UIkZN9dCwPtU0m9Ijwx5ieYVLHIRc3pX8kYoJ8cL22CZ+eypc6DpHTsRAhcqJmk9l2Z9WFo+IhYwMzugWlXI55KZbriFalZcFsZoMz8mwsRIicaOe5IhRUNiDUT4Xpg6OljkNu4kfJWvipFbhSXIOvvyuROg6RU7EQIXISIQRWtTSnenCEHholG5hR5wRolLg/WQcAtnOIyFOxECFykvTscnxrqIRGKcec4WxgRvZ5KEUPhUyGg1eu40JBldRxiJyGhQiRk1hbdc8YHINQf7XEacjdxAb7Ykp/S4OzVWkcFSHPxUKEyAmySmvx1cVrAGCbjklkr4UtDc7+e6YA16oaJE5D5BwsRIicYE1aFoQAxvcOR2KEv9RxyE0N0gZjqD4YzSaB9YeypY5D5BQsRIgcrKKuCZtP5AFgAzO6fdZRkfeP5qKuyShxGiLHYyFC5GDvH81FQ7MZfaMDMCIhVOo45OYm9omEPtQXlfXN2HLCIHUcIodjIULkQI1GE9a1DKEvYAMzcgCFXIb5LQ3O1qRlwcQGZ+RhWIgQOdB/zxSipLoRgRolpg1kAzNyjFlDtAjyUSL7ep3tImgiT8FChMhBbmxgFh6ghkrB/17kGL5qBe4fZmlwtvpAlsRpiByLr5REDnLo6nVcKqqGr0qBmGAfqeOQh3loZBxkAI5ll+FMXoXUcYgchoUIkYOsvKGdO0dDyNEiAzWIDrIUuKvSOCpCnoOvlkQO8N21auy/XAKZDPjpuASp45CHig/zAwDsOFuI/Ip6idMQOQYLESIHWN3yF+rdA6OREM4GZuQcgT5KjOsVDpNZYN1BjoqQZ2AhQnSbSmsa8Z9T+QCAJyb2lDgNeTrrOfbhsTxUNzRLnIbo9rEQIbpNGw7noMloxtC4EDYwI6e7o28kekX6o7rRiI/S86SOQ3TbWIgQ3YaGZhM2HskBADwxsQcbmJHTyeUyLG4ZFVl7MBtGk1niRES3h4UI0W345FQ+rtc2QRfii3sGxUgdh7zE7GE6hPmrkV9Rj13ni6SOQ3RbWIgQdZHZLGwXqT42PhFKTtmlbuKjUuCRMZbZWSsPZEEItn0n98VXTqIu+jqjBFeKaxCgUWJey71AiLrLj8ckQK2U40xeBU7klEsdh6jLWIgQddGqNEsDs/kpcQj0UUmchrxNZKAGs5Mtbd9Xse07uTEWIkRdcL6gEgevXIdCLsOj4xOljkNe6vGJPQAAX1woQs71WonTEHUNCxGiLrBeGzJjcAz0oX4SpyFv1Tc6EHf0jYQQlhk0RO6IhQiRna5VNeC/ZwoAwDaNkkgq1gZnHx/PQ2UdG5yR+2EhQmSn9Yey0WwSSEkMRXJciNRxyMuN7x2O/jGBqGsyYdOxXKnjENmNhQiRHeqajHj/qOXFnqMh5Apksu8bnK07lIUmIxuckXthIUJkhy0nDKisb0ZCuB/uGhAtdRwiAEDq0FhEBmpwraoRn58tkDoOkV1YiBB1kskssKblItXHJ/SAQs527uQaNEoFHh2XCMAylZcNzsidsBAh6qSvLl5D9vU6BPuq8OAIvdRxiFpZOCoePio5zhdU4XDmdanjEHUaCxGiTlrd0jRq4eh4+KmVEqchai3UX20rkFezwRm5ERYiRJ1wJq8Cx7LLoFLIbEPgRK5m0fgekMmAPZeKcaW4Ruo4RJ3CQoSoE1a1XBuSOkSL6CAfidMQta9nZACm9rdcRL3mIEdFyD2wECG6hfyKeuw4Wwjg+5baRK7qiZZzdOsJA67XNEqchujWWIgQ3cK6g1kwmQXG9QrHIG2w1HGIbmpUjzAk6YLRaDTbet4QuTIWIkQ3Ud3QjA+P5QH4vpU2kSuzNDizjIr8+3A2GppNEiciujkWIkQ38VF6HqobjegV6Y87+kZKHYeoU+5NikVssA9Ka5rw2Wk2OCPXxkKEqANGk9l2R9PFE3tCzgZm5CZUCjkeG58IAFiVlskGZ+TSulSIrFu3DoMHD4Zer0dKSgrS0tI6td0vf/lLyGQyZGdnd2W3RN1q1/ki5FfUI9xfjdnDdFLHIbLLvJR4+KsVyLhWg2++K5U6DlGH7C5ENmzYgKVLl2Lz5s0wGAxYsmQJZs6ciczMzJtu9+WXX2L//v1dzUnUrYQQWNnSFOqRMQnwUSkkTkRkn2BfFealxAMAVh24+eszkZTsLkSWLVuGF198EQMGDAAAzJ07F5MmTcKKFSs63Ka0tBSLFi3Cv/71r64nJepGJ3LKcSavAmqlHD8emyB1HKIueWx8IuQy4MB3pbhUVCV1HKJ22VWI5Obm4urVq0hNTW21PDU1FTt37uxwu0WLFuGhhx7C6NGju5aSqJutahkNeWCYDhEBGonTEHVNXJgfZgyOBcC27+S67CpECgosV19rtdpWy3U6HfLz89vd5h//+AeysrKwfPnyTu2jsbERVVVVrR5E3Snnei2+uFAEAFg0gQ3MyL1Zm/BtO12A4uoGidMQtWVXIaJSqSwbyVtvJpO1P5vg4sWLeOmll7Bx40ZoNJ37q3L58uUIDg62PeLi4uyJSHTb1h7MhhDAHX0j0Tc6UOo4RLdleHwohseHoMlkxobDOVLHIWrDrkJEr7fc2dE6MmJVWFgIna71rILm5mYsXLgQL730EoYOHdrpfSxduhSVlZW2R15enj0RiW5LZV0zPj7OBmbkWazn8sYjOahvYoMzci12FSLR0dFITk7Gjh07Wi3fvXs3ZsyY0WpZfn4+Tp8+jSVLlkAmk9keANCjRw9MmDCh3X1oNBoEBQW1ehB1l03HclHXZEL/mECM7x0udRwih7h7UAziwnxRXteMrScNUschasXuWTNLlizBG2+8gYyMDADAtm3bsHPnTjz99NOt1ktMTIQQos0DALKysjrde4SouzQZzVh3yHJB3+KJPTv8yJHI3SjkMiwab7lWZE1aFsxmNjgj12F3IbJgwQK8/PLLmDVrFrRaLV577TVs374dvXv3hsFggF6vx+bNm52RlcipPj9bgGtVjYgM1CB1aKzUcYgcau7IOAT6KJFZWou9l4qljkNko+zKRk899RSeeuqpNsv1ej0MhpsP+7HVMLkiIYRtyu6j4xKhUbKBGXmWAI0SC0fH419fZ2JVWibuGhgtdSQiALzXDBEA4HDmdZwvqIKPSo6Fo+KljkPkFI+OS4RSLsORzDKcy6+UOg4RABYiRAC+b/Y0d0QcQv3VEqchco7YYF/MGmL52JFt38lVsBAhr3eluAZ7LhVDJmMDM/J8i1um8m7/thCFlfUSpyFiIUKENQctoyF3DYhGjwh/idMQOddgXTDG9AyD0Syw7lC21HGIWIiQd7te04itJywXWC/maAh5icUTLKMim47moqbRKHEa8nYsRMirvX80F41GM5J0wRjVI0zqOETd4s7+UegZ4Y/qBiM2H2f3apIWCxHyWg3NJvz7cDYAYPHEHmxgRl5DLpfZrodaczALJjY4IwmxECGv9dnpApTWNCE22Af3JrGBGXmXOcP1CPVTIa+sHl+eL5I6DnkxFiLklYQQWJVmmb742PhEqBT8r0DexVetwCNjEgAAKzmVlyTEV1/ySt98V4qMazXwVyswL4UNzMg7/XhsAtQKOU7mVuBETrnUcchLsRAhr2Rt5jQvJR7BviqJ0xBJIyrQB/clawEAq9M4KkLSYCFCXudSURUOfFcKuczysQyRN3t8ouWi1V3nipBXVidxGvJGLETI61jbuc8YHIu4MD+J0xBJq39MECb2iYBZAGsPZksdh7wQCxHyKsXVDdh2ugDA938JEnk7a9v3j9JzUVnfLHEa8jYsRMirbDicgyaTGSMSQjE8PlTqOEQuYVKfCPSNDkBtkwkfpedKHYe8DAsR8hr1TSZsPJIDgO3ciW4kk8lsbd/XHsxGs8kscSLyJixEyGtsPWlAeV0z4sJ8cfegGKnjELmU+4ZpERGgQWFlA3acLZQ6DnkRFiLkFcxmgTVplotUF43vAYWc7dyJbqRRKvCTsZYGZ6sOZEEItn2n7sFChLzC3kvFyCytRaCPEnNHxkkdh8glPTw6HhqlHGfzK3Esq0zqOOQlWIiQV7C2sF44Oh4BGqXEaYhcU3iABnNG6AEAK1umuRM5GwsR8nhnDZU4mlUGpVyGR8clSh2HyKUtGm+5kHvPpWvILKmROA15AxYi5PGsN7ebNSQWscG+Eqchcm29owIwtX8UhADWHOSoCDkfCxHyaAUV9fj8W8sMAGvTJiK6OWuzvy0nDCivbZI4DXk6FiLk0dYfyobRLDCmZxgG64KljkPkFsb2DMcgbRAams14/2iO1HHIw7EQIY9V02jEpmOWLpHWZk1EdGsymQyLW0ZF1h/OQaPRJHEi8mQsRMhjbT6eh+oGI3pG+OPO/lFSxyFyKzOTtIgJ8kFJdSP+e4YNzsh5WIiQRzKZhe1Cu0UTekDOBmZEdlEr5fhpyyyzVQcy2eCMnIaFCHmkL88XIa+sHqF+KswZrpc6DpFbWjgqHn5qBS4VVePgletSxyEPxUKEPJK1gdkjYxLgq1ZInIbIPQX7qfBQSydi6/8pIkdjIUIe50ROOU7mVkCtkOPHLffOIKKueWx8ImQy4OuMEmRcq5Y6DnkgFiLkcVa3NDC7L1mLqEAfidMQubeEcH9MH2i5W/Vqtn0nJ2AhQh4lr6wOu84VAfi+KRMR3R7rVN5PTuejpLpR4jTkaViIkEdZczALZgFM7BOB/jFBUsch8ggjEkKRHBeCJqMZG46wwRk5FgsR8hiV9c34OD0PANu5EznSjQ3ONh7JQUMzG5yR47AQIY/x4bFc1DaZ0Dc6AJP6REgdh8ij3DMoBroQX5TVNuE/J/OljkMehIUIeYRmkxnrDmUDsLRzl8nYwIzIkZQKOR4bnwjAckG42cwGZ+QYLETII+w4W4jCygZEBGhw3zCt1HGIPNK8lDgEapS4WlKL/RnFUschD8FChNyeEMLWbOknYxOgUbKBGZEzBPqoMH+UpcHZKk7lJQdhIUJu71hWGc7lV0GjlOORMWxgRuRMj47vAYVchkNXr+N8QaXUccgDsBAht7ey5S+zOSP0CPNXS5yGyLPpQnxxb1IsADY4I8dgIUJuLbOkBnsuXQMAPD6BDcyIusMTLVN5PztTgKLKBonTkLtjIUJubc3BLAgBTO0fhV6RAVLHIfIKQ/QhGJUYBqNZYP3hbKnjkJtjIUJuq7y2CVtOGACwnTtRd7P+n3v/SA5qG40SpyF3xkKE3Nb7R3PQ0GzGIG0QxvYMlzoOkVe5a0A0EsP9UNVgtP1BQNQVLETILTUaTVh/2HLPi8UTe7CBGVE3U8hlWNRyXdaag1kwscEZdRELEXJLn50uQEl1I2KCfDAziQ3MiKTw4Ag9gn1VyLleh90Xrkkdh9wUCxFyO0IIrE6zTBv86bhEqJU8jYmk4KdW4uHR8QAsbd+JuoKv4OR20q6U4lJRNfzUCiwcFS91HCKv9tNxiVApZEjPLsfpvAqp45AbYiFCbsfaWvqhkXEI9lNJnIbIu0UH+SB1qOXj0VUHOCpC9mMhQm4l41o1vs4ogUwGLBrPKbtErmDxhJ4AgJ3nimAor5M4DbkbFiLkVqwtpacPjEF8uJ/EaYgIAAZqgzC+dzhMZoF1B7OljkNuhoUIuY2S6kZ8cjofAPDEJI6GELmSxRMtoyIfpuehuqFZ4jTkTliIkNvYcCQHTUYzkuNCMDw+VOo4RHSDO/pEondUAGoajfgoPU/qOORGWIiQW2hoNmHjETYwI3JVcrnMduPJtQezYTSZJU5E7oKFCLmF/5zMR1ltE3QhvrhnUIzUcYioHbOH6RDur0Z+RT12niuSOg65CRYi5PLMZmFrlvTY+EQoFTxtiVyRj0qBR8YkALBM5RWCbd/p1rr0ir5u3ToMHjwYer0eKSkpSEtL63Bdg8GAefPmIS4uDnq9Hvfffz+ys7O7mpe80P6MYlwtqUWgRol5KXFSxyGim/jx2ASolXKcMVTieE651HHIDdhdiGzYsAFLly7F5s2bYTAYsGTJEsycOROZmW0b2TQ3N+Ouu+5CYmIiMjMzkZOTgz59+uDee++F0cjbRlPnWBuYzR8Vh0AfNjAjcmURARo8MEwHgA3OqHPsLkSWLVuGF198EQMGDAAAzJ07F5MmTcKKFSvarHvp0iXExsbiT3/6E1QqFRQKBX73u9/h4sWLuHDhwu2nJ493vqASh65eh0Iuw6NsYEbkFqwXrX554RqyS2slTkOuzq5CJDc3F1evXkVqamqr5ampqdi5c2eb9ZOSkrBv375WMxzOnj0LAAgMDOxKXvIy1gZm9ybFQhfiK3EaIuqMPtGBmNwvEkIAaw9mSR2HXJxdhUhBQQEAQKttfdt1nU6H/Pz8W25/4sQJzJ07F48++ih69Gj/r9vGxkZUVVW1epB3KqpswGdnLOfcExM5GkLkTp5oaXD28XEDKuqaJE5DrsyuQkSlsnw+L5e33qwzPR3+7//+DxMnTsSjjz6KVatWdbje8uXLERwcbHvExfHiRG+1/nA2jGaBUYlhGKIPkToOEdlhXK9w9I8JRH2zCZuO5Uodh1yYXYWIXq8H8P3IiFVhYSF0Ol2725jNZjz++ONYsWIF9u3bh9deew0KhaLDfSxduhSVlZW2R14eO/R5o9pGI96/oYEZEbkXmUxmGxVZfygbTUY2OKP22VWIREdHIzk5GTt27Gi1fPfu3ZgxY0a72/z6179GRkYGjh8/jtGjR99yHxqNBkFBQa0e5H22nDCgqsGIxHA/TB0QLXUcIuqC1KFaRAVqcK2qEdu/Lbj1BuSV7J41s2TJErzxxhvIyMgAAGzbtg07d+7E008/3Wbdo0eP4t///jc+/fRTFhTUaSazwJqWC9wen9ADCjnbuRO5I7VSjp+OSwRgmYbPBmfUHrsLkQULFuDll1/GrFmzoNVq8dprr2H79u3o3bs3DAYD9Ho9Nm/eDADYtWsXampqMHToUOj1+laPt956y+E/DHmG3ReuIed6HYJ9VZgzQi91HCK6DQ+PjoevSoELhVU4fPW61HHIBSm7stFTTz2Fp556qs1yvV4Pg8Fg+/qVV17BK6+80vV05JWs7dwfHh0PP3WXTlEichEhfmo8OEKPDUdysCotC+N6R0gdiVwMb9pBLuV0XgXSs8uhUshsQ7pE5N4WTegBmQzYe6kYV4qrpY5DLoaFCLkUa0vo1KFaRAf5SJyGiByhR4Q/7mq56Hx1Wra0YcjlsBAhl2Eor7PdOnzxhJ4SpyEiR7JO5f3PSQOu1zRKnIZcCQsRchnrDmbDZBYY3zscA7WcZUXkSVISQzFEH4xGoxkbj7DBGX2PhQi5hKqGZnyYbmlet3giR0OIPI1MJrP9395wJBsNzSaJE5GrYCFCLuHj9DzUNBrROyoAd/SJlDoOETnBjMEx0Ab7oLSmCdtO3/r+ZOQdWIiQ5IwmM9YezAYALJ7QA3I2MCPySCqFHI+Nt9yygQ3OyIqFCElu57ki5FfUI9xfjfuHtX/PIiLyDPNGxSFAo8R3xTX4OqNE6jjkAliIkKSEELYpuz8emwAfVcc3RCQi9xfko8K8FMtd1VenZUmchlwBCxGS1PGccpwxVEKtlOORMQlSxyGibvDouETIZcCB70pxsbBK6jgkMRYiJCnraMic4TpEBGgkTkNE3SEuzA8zkmIBcFSEWIiQhLJLa/HlhWsAgEUtF7ARkXdYPMHyf37b6XwUVzVInIakxEKEJLP2YBaEACb3i0Sf6ECp4xBRNxoWH4oRCaFoNgn8+3CO1HFIQixESBIVdU34+LjlTs1PsIEZkVd6YqJlVGTj0RzUNRklTkNSYSFCkth0LBf1zSb0jwnEuF7hUschIglMGxiD+DA/VNQ1Y+tJNjjzVixEqNs1Gc1YfygbgGU0RCZjAzMib6SQy7BofCIAYE1aFsxmNjjzRixEqNtt/7YA16oaERWoQepQrdRxiEhCc0fGIchHiazSWuy5VCx1HJIACxHqVkIIrDxgma7303GJUCt5ChJ5M3+NEgtHW3oIrWyZzk/ehe8C1K0OX72Oi4VV8FUp8PDoeKnjEJEL+Om4BCjlMhzLKsO3hgqp41A3YyFC3cr6F8/ckXqE+KklTkNEriA22Nf2Me2qA2xw5m1YiFC3uVJcjX2XSyCTsYEZEbX2eEuDs8/PFqKgol7iNNSdWIhQt1mdlg0AmDYgGokR/tKGISKXMlgXjLE9w2EyC9usOvIOLESoW1yvacR/TloamC1mAzMiasfilgZnm47loqaRDc68BQsR6hYbj+Si0WjGEH0wUhJDpY5DRC5oSr8o9Iz0R3WDER+n50kdh7oJCxFyuoZmEzYcyQZgGQ1hAzMiao9cLrNdK7LmYBaMJrPEiag7sBAhp9t2Oh+lNU3QBvtgxuAYqeMQkQt7YJgeoX4qGMrrbXfnJs/GQoScSghhm4732PgeUCl4yhFRx3zVCvx4DBuceRO+K5BTfZ1Rgu+KaxCgUWLeqDip4xCRG3hkbALUCjlO5VbgRE651HHIyViIkFNZR0PmpcQhyEclcRoicgdRgT64f5i1wRlHRTwdCxFymouFVUi7Ugq5DHh0XKLUcYjIjTw+wTLN/4vzRci9XidxGnImFiLkNNbRkBlJsYgL85M4DRG5k34xgZjUNxJmYZlBQ56LhQg5RXFVAz47kw8AWDyB7dyJyH7W146Pj+ehsr5Z4jTkLCxEyCn+fTgHzSaBkQmhGBbPBmZEZL+JfSLQLzoQdU0mfHgsV+o45CQsRMjh6pqM2Hg0B8D3LZuJiOwlk8nweMtryLpD2WhmgzOPxEKEHG7ryXxU1DUjPswP0waygRkRdd19yVpEBGhQWNmAHWcLpY5DTsBChBzKbBZYk2a5sGzR+EQo5GznTkRdp1Eq8NOx3zc4E0JInIgcjYUIOdSeS8XIKq1FkI8Sc0eygRkR3b6HxyTARyXHufwqHM0qkzoOORgLEXIoa0vmhaMT4K9RSpyGiDxBmL8ac4brAbDBmSdiIUIO862hAseyyqCUy/DTcQlSxyEiD7KoZSrvVxeLkVlSI3EaciQWIuQw1gZmqUO1iA32lTgNEXmSXpEBuGtAFABgdRobnHkSFiLkEAUV9fi85Yr2x9nAjIicwNr2fetJA8pqmyROQ47CQoQcYt2hbJjMAmN7hmOwLljqOETkgcb0DMNgXRAams14/0iO1HHIQViI0G2raTTig6OWrodsYEZEziKTybC4ZVRk/eEcNBpNEiciR2AhQrfto/Q8VDca0TPSH1P6RUkdh4g82MwhsYgJ8kFpTSO2nS6QOg45AAsRui1GkxlrW+6M+fiEHpCzgRkROZFKIcej4xMBAKsPZLHBmQdgIUK35csL12Aor0eon8o2z5+IyJkWjIqHn1qBy9eqkXalVOo4dJtYiNBtsTYw+/GYBPioFBKnISJvEOyrwkMtnZtXHuBUXnfHQoS67EROOU7lVkCtkOORsWxgRkTdZ9H4HpDLgG8ySnC5qFrqOHQbWIhQl1lbLd8/TIuoQB+J0xCRN4kP98P0QZa7e69OY9t3d8ZChLok93odvjhfBOD7JkNERN3J2i7g01MFKKlulDgNdRULEeqSNQezYBbApL6R6BcTKHUcIvJCIxLCMCw+BE0mMzYczpY6DnURCxGyW2V9Mz4+ngcAWMx27kQkIWuDsw1HctDQzAZn7oiFCNntg2O5qGsyoV90ICb2iZA6DhF5semDoqEP9UV5XTO2njRIHYe6gIUI2aXZZMa6g9kAgMcn9oBMxgZmRCQdpUKOx8ZbRmZXp2XBbGaDM3fDQoTs8vm3hSiqakBEgAb3JWuljkNEhHkpcQjUKJFZUot9l4uljkN2YiFCnSaEwKqWaXI/HZsAjZINzIhIegEaJRaMjgcArGKDM7fDQoQ67UhmGc7lV8FHJcfDY9jAjIhcx6PjEqGQy3A48zrO5VdKHYfs0KVCZN26dRg8eDD0ej1SUlKQlpbW4br5+fmYN28eEhMTodPp8Pzzz6OxkfO93ZG1adCc4XqE+aslTkNE9D1tiC9mJsUCsFwrQu7D7kJkw4YNWLp0KTZv3gyDwYAlS5Zg5syZyMxs29muqakJ06ZNg16vx5UrV3D+/HmcOHECzz//vEPCU/fJLKnBVxctn70+zim7ROSCrA3O/numAEWVDRKnoc6yuxBZtmwZXnzxRQwYMAAAMHfuXEyaNAkrVqxos+7HH3+Ma9euYfny5VAqlQgJCcHbb7+N1atXo7SUd0x0J9a/MO4aEIWekQESpyEiamuIPgSjeoTBaBZYdyhb6jjUSUp7Vs7NzcXVq1eRmpraanlqairefvttvPXWW62W7927F9OnT4da/f0w/ogRIxAeHo49e/Zg3rx5bfbR2NjY6qObqqoqeyJ22p6L13j76E5qaDbhg2OWBmZs505ErmzxhB44llWGf359FdUNzVAreSlkZ0ztH40JEvWFsqsQKSgoAABota2nbep0OuTn57e7/uDBg9ss72h9AFi+fDmWLVtmT6wuOZFTjrUHs9FDcR09FWUAgK+bemKEKh8BskaUm31x0RiFceocAECGMRJyCPRWWoqXtKZEJCmLECxvQJXwwZnmWExUW0YNrhrDYYQc/ZQlAIDDTQnopyxBmLwOtUKN9GY9JqstH2VlmcJQL1QYqLwGADjWHIeeijJEyGvRIFQ41JyAO9VXAAC5phBUCh8kKS33eDnerEecohLR8mo0CwW+ae6JO9VXIINAvikYpWZ/DFVZfmenm7WIktdAq6iCCXLsb+qFSapMqGQmFJkDUWAKwnCV5Xdy1hiLEFk94hQVAIA9TX0wQZWFGH85jAVBuB4yEF9++SUAYOzYsaisrMSFCxcAWEbIdu3aherqasTExGD48OHYsWMHACAlJQUNDQ04e/YsAGD27NnYv38/ysvLERERgbFjx+K///0vAGDYsGEAgFOnTgGwFLuHDx9GaWkpQkNDMXnyZHzyyScAgKSkJPj4+CA9PR0AcO+99+LkyZMoKipCYGAg7rnnHmzevBkAMHDgQAQHB+Pw4cMAgLvvvhsXLlyAwWCAn58f7rvvPnzwwQcAgL59+yIqKsp2DdSdd96Jq1evIicnB2q1GnPmzMHmzZthNBrRs2dPxMfHY//+/RACCFMn4n9Wf4P6ujpAJkNMbCyuFRVBmM3w8fWFn78/ylpGBUNCQ9Hc1ITa2loAQExsLEqKi2EymaDx8UFAYCCul1jOpeCQEBiNRtTW1AAAomNicb20BEajEWqNBkFBwSgtsXyEFhQcDLMQqGkp5iOjo1FeVgZjczNUajVCQkNRcs1y3gUGBUEGGaqqLBf5RUZFobKyAk2NTVAqVQiLCEdxkeW8CwgMhFyhQFWF5fyIiIxEdVU1GhsboFAqEREZiWuFhQAA/4AAKFUqVJaXAwDCIiJQV1uDhvoGyBVyREXHoKjldcXP3x8ajQblZZb/j2Hh4aivr0d9XR1kMhmiY2NxrbAQQgj4+vnB19cXZdevAwBCw8LQ2NiIOusx1GpRfK0IZpMZPr4+8PMPsB3v4NBQGJubvz+GsbEoLSmByWiERuODwKBAlLYc76CQEJhNJtRUW+7uGhUTg7LS6zAam6HWqBEcHIKS4pbjHRQMAYHqG453RXk5mpuaoFSpEBoWZjveAUFBkMtkqKqsbDmGUaiqqkRTYyOUSiXCIyJxreiGY6hUorKiAiEqM8rKeuHcuXPIz8+Hv78/Zs2ahY8++ggA0K9fP0RERODgwYMAgLvuugsZGRnIzc2FRqPBAw88gI8++ghmsxm9evWCTqfDN998AwCYPHkycnNzkZmZCaVSiblz52Lr1q1oampCQkICevXqhb179wIAJkyYgOLiYmRkZAAAFixYgG3btqGurg56vR4DB0r4GlFSihkhdfiqIgJFp/YAADJN4WgSCvRXWn5XR5rj0UdRinB5HeqEGsea4zBZfRUAkG0KRa1QY1DLa3J6cxwSFOWIktegUSiR1twDU9XfAQDyTCGoEL5IUlp+VyebddAqqhBzw2vyZPVVKGBGgSkIxeYAJLe8Jp9p1iJCXgudohICMuxt6m17Tb5mDkSeKRgjVZYGbWeNMQiWNSC+5TV5b1NvjFPlwEfWjFKzPzJNYRilsvyxeMEYDV9ZM3q0vK/tb+qJFJUB/rImlJn9cNkYibEt72uXjZFQwgyZTCAycJxkhYhMCNHp7i8nTpzAyJEjUVtbCz8/P9vyHTt2YP78+W1GL1JTUzFgwAC88cYbrZaPGjUK8+fPxwsvvNBmH+2NiMTFxaGyshJBQUGd/sFu5ZuMEhzNuu6w5/N0wb4qzEuJR7CvSuooREQ3VVbbhI/S81DT2Cx1FLcxsU8kxvQMd+hzVlVVITg4+Jbv33aNiOj1egCWkY7evXvblhcWFkKn07W7vnUU5UYdrQ8AGo0GGo3GnlhdMqlvJCb1jXT6foiIqHuF+avxs8m9pI5BnWTXh2fR0dFITk62DaNZ7d69GzNmzGiz/j333IMvv/wSRqPRtuzSpUsoLi7G1KlTuxiZiIiIPIXdV/EsWbIEb7zxhu2zwW3btmHnzp14+umn26w7c+ZMREVF4eWXX4bJZEJlZSWeeeYZPPbYY4iI4M3SiIiIvJ1dH80AlouSqqqqMGvWLNTU1ECv12P79u3o3bs3DAYDxowZg7fffhtz586FUqnErl278POf/xxxcXGQy+WYO3cu/vSnPznjZyEiIiI3Y9fFqlLo7MUuRERE5Do6+/7NCdZEREQkGRYiREREJBkWIkRERCQZFiJEREQkGRYiREREJBkWIkRERCQZFiJEREQkGRYiREREJBkWIkRERCQZu1u8dzdr49eqqiqJkxAREVFnWd+3b9XA3eULkerqagBAXFycxEmIiIjIXtXV1QgODu7w+y5/rxmz2YyCggIEBgZCJpM59LmrqqoQFxeHvLw83sfmFnisOo/HqvN4rDqPx6rzeKw6z5nHSgiB6upqaLVayOUdXwni8iMicrkcer3eqfsICgriydpJPFadx2PVeTxWncdj1Xk8Vp3nrGN1s5EQK16sSkRERJJhIUJERESS8epCRKPR4JVXXoFGo5E6isvjseo8HqvO47HqPB6rzuOx6jxXOFYuf7EqEREReS6vHhEhIiIiabEQISIiIsmwECEiIiLJeFUhkpeXh3fffRfJycmYPHnyLdffunUrfH19odfrWz3S09OdH1Zi9h4rIQTefPNN9OvXDzqdDpMnT8aFCxecH9QFXLx4ETNmzEBCQgISEhLw2muv3bSlsbedV+vWrcPgwYOh1+uRkpKCtLS0DtfNz8/HvHnzkJiYCJ1Oh+effx6NjY3dmFZa9hyr1NRUhIeHtzqHJk6c2I1ppWM2m3HkyBG88MILCAsLw7p16266vjefV/YeKynOK68pROrq6nDHHXfgxIkTnW6QZjAYMHv2bBgMhlaPlJQUJ6eVVleO1R//+EesXbsWe/fuhcFgwH333Ye77roLFRUVzg0rsdLSUkyZMgXTp09HdnY2Dh06hPfffx9vvvlmh9t403m1YcMGLF26FJs3b4bBYMCSJUswc+ZMZGZmtlm3qakJ06ZNg16vx5UrV3D+/HmcOHECzz//vATJu589xwqwnEcffPBBq3PowIED3ZxaGmvXrsWzzz4LPz8/KBSKm67r7eeVPccKkOi8El7olVdeEXfcccct13vxxRfFkiVLnB/IhXXmWNXV1YnAwECxZcuWVsuTkpLEO++848R00nv11VfF4MGDWy3bsmWLiIqKEk1NTe1u403nVa9evcRf/vKXVstmzZolnn/++TbrbtiwQYSFhYnGxkbbsuPHjwu1Wi1KSkqcnlVq9hwrIYSIiIgQFy5c6I5oLi0hIUGsXbu2w+97+3l1o1sdKyGkOa+8ZkSkKwwGg9Pby3uC9PR01NTUYObMma2Wz5o1Czt37pQoVffYu3cvUlNTWy2bNWsWSkpKcPLkyXa38ZbzKjc3F1evXm1zfFJTU9s9L/bu3Yvp06dDrVbblo0YMQLh4eHYs2eP0/NKyd5j1djYiNLSUq84j26XN59X9pLqvGIhchMGgwFZWVmYNm0aevTogfHjx+Ozzz6TOpbLKSgoQFhYGHx8fFot1+l0yM/PlyhV9ygoKIBWq221TKPRIDw8vMOf3VvOq4KCAgBoc3w6Oi/aO5Y3W9+T2HusDAYD/Pz88M9//hPDhg1Dz5498fDDDyM3N7db8roTbz6v7CXVeeXyN73rjJKSEgwbNqzD7z/33HP49a9/bffzKhQKlJWVYcOGDYiKisKePXvwwAMPYPPmzbjnnntuJ7JknHGsVCpVu3dWdPTdkrtbZ45VV352Tzyv2qNSqQCgzfHp6Nh46nnUGfYeq8rKSkRERECr1eLQoUMwm8146aWXcOedd+LMmTPw9/d3emZ34c3nlb2kOq88ohCJjIyEwWBw+PPu37+/1dfTpk3DI488gnXr1rntG4YzjpVer0dpaSmamppaDX8WFhZCp9M5dF/dqTPHau/evba/Zq0aGxtRXl7e4c/uiedVe6zDuwUFBejdu7dteUfnhV6vb3Msb7a+J7H3WA0fPhw5OTmtlr311ltYvXo1Dhw44FHn0e3y5vPKXlKdV/xo5ibMZnObZSaTiZX0DwwfPhyRkZHYtWtXq+VfffUVZsyYIVGq7nHPPfdgx44drZbt27cPYWFhGD58eLvbeMt5FR0djeTk5DbHZ/fu3e2eF/fccw++/PJLGI1G27JLly6huLgYU6dOdXpeKdl7rIC255EQAmaz2ePOo9vlzedVV0hyXnXrpbEuojMzQRobG8XQoUPF22+/bZv9sGvXLuHr6yu++uqrbkjpGjo7w+j1118XSUlJorCwUAghxIoVK0RMTIwoKytzckJplZWViZiYGPHuu+8KIYQoKCgQSUlJYvny5e2u723n1aZNm4ROpxOXL18WQgjx6aefiqCgIPHdd9+1Wbe5uVkMGjRI/O///q8wGo2ioqJCTJ06VTz11FPdHVsS9hyrb775RvTp00ccO3ZMCCFEfX29ePrpp0WfPn1EQ0NDt+aW2q1mgnj7eXWjWx0rqc4rFiI3ePDBB8WDDz5o+/rChQvi/vvvF1qtVkRERIghQ4aIjz/+uBuTSq+zx8pkMolXX31VJCQkiNjYWDF58mRx7ty5bkwqnXPnzonJkyeL2NhYkZCQIF599VVhMpls3/f28+qf//yn6NOnj4iNjRUpKSnim2++EUIIkZeXJ3Q6XaufPS8vT/zoRz8SsbGxQqfTiV/+8pde9cZqz7Fau3atGDZsmNBqtSI8PFzcf//9IisrS6Lk0vnhmyvPq4515lhJcV7x7rtEREQkGV4jQkRERJJhIUJERESSYSFCREREkmEhQkRERJJhIUJERESSYSFCREREkmEhQkRERJJhIUJERESSYSFCREREkmEhQkRERJJhIUJERESSYSFCREREkvn/AVntE1PTLR/pAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 確率密度関数：f(x)=x+1 (-1≦x≦0), f(x)=-x+1 (0≦x≦1), f(x)=0 (other)\n",
    "\n",
    "# 【設定】確率密度関数f(x)の定義\n",
    "def def_f(x, **kwargs):\n",
    "    if x < -1:\n",
    "        fx = 0\n",
    "    elif x <= 0:\n",
    "        fx = x + 1\n",
    "    elif x <= 1:\n",
    "        fx = -x + 1\n",
    "    elif x > 1:\n",
    "        fx = 0\n",
    "    return fx \n",
    "\n",
    "# 【設定】関数f(x)の描画区間[x_min,x_max]\n",
    "x_min, x_max = -1.5, 1.5\n",
    "\n",
    "# 【設定】定積分の積分区間[a,b]\n",
    "a, b = -0.5, 0.5\n",
    "\n",
    "# 処理の実行\n",
    "integrate_result = f_plot(x_min, x_max, a, b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "1_jo02V6TzFy"
   },
   "source": [
    "- 確率密度関数 例4  \n",
    "$\n",
    "f(x)=\n",
    "\\begin{cases}\n",
    "3x &(0\\leq x\\leq2/3)\\\\\n",
    "-6x+6 &(2/3< x\\leq1)\\\\\n",
    "0 &(x<0, 1<x)\\\\\n",
    "\\end{cases}\n",
    "$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "id": "AMhtycItTzFy"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 確率密度関数：f(x)=3x (0≦x≦2/3), f(x)=-6x+6 (2/3＜x≦1), f(x)=0 (other)\n",
    "\n",
    "# 【設定】確率密度関数f(x)の定義\n",
    "def def_f(x, **kwargs):\n",
    "    if x < 0:\n",
    "        fx = 0\n",
    "    elif x <= 2/3:\n",
    "        fx = 3*x\n",
    "    elif x <=1 :\n",
    "        fx = -6*x + 6\n",
    "    elif x > 1:\n",
    "        fx = 0\n",
    "    return fx \n",
    "\n",
    "# 【設定】関数f(x)の描画区間[x_min,x_max]\n",
    "x_min, x_max = -1/3, 4/3\n",
    "\n",
    "# 【設定】定積分の積分区間[a,b]\n",
    "a, b = 1/3, 2/3\n",
    "\n",
    "# 処理の実行\n",
    "integrate_result = f_plot(x_min, x_max, a, b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "jbeV3JdnTzFy"
   },
   "source": [
    "- 確率密度関数 例5  \n",
    "$\n",
    "f(x)=\n",
    "\\begin{cases}\n",
    "-6x^2+6x &(0\\leq x\\leq1)\\\\\n",
    "0 &(x<0, 1<x)\\\\\n",
    "\\end{cases}\n",
    "$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "id": "S7x8qREdTzFy"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 確率密度関数：f(x)=-6x^2 + 6x (0≦x≦1), f(x)=0 (other)\n",
    "\n",
    "# 【設定】確率密度関数f(x)の定義\n",
    "def def_f(x, **kwargs):\n",
    "    if x < 0:\n",
    "        fx = 0\n",
    "    elif x <= 1:\n",
    "        fx = -6*x**2 + 6*x\n",
    "    elif x > 1:\n",
    "        fx = 0\n",
    "    return fx \n",
    "\n",
    "# 【設定】関数f(x)の描画区間[x_min,x_max]\n",
    "x_min, x_max = -0.25, 1.25\n",
    "\n",
    "# 【設定】定積分の積分区間[a,b]\n",
    "a, b = 0.1, 0.9\n",
    "\n",
    "# 処理の実行\n",
    "integrate_result = f_plot(x_min, x_max, a, b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "DThjZ2HATzFz"
   },
   "source": [
    "- 確率密度関数 例6  \n",
    "$\n",
    "f(x)=\n",
    "\\begin{cases}\n",
    "-0.75x^2+1.5x &(0\\leq x\\leq2)\\\\\n",
    "0 &(x<0, 2<x)\\\\\n",
    "\\end{cases}\n",
    "$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "id": "4qRGvLpoTzFz"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 確率密度関数：f(x)=-0.75x^2 + 1.5x (0≦x≦2), f(x)=0 (other)\n",
    "\n",
    "# 【設定】確率密度関数f(x)の定義\n",
    "def def_f(x, **kwargs):\n",
    "    if x < 0:\n",
    "        fx = 0\n",
    "    elif x <= 2:\n",
    "        fx = -0.75*x**2 + 1.5*x \n",
    "    elif x >  2:\n",
    "        fx = 0\n",
    "    return fx \n",
    "\n",
    "# 【設定】関数f(x)の描画区間[x_min,x_max]\n",
    "x_min, x_max = -0.5, 2.5\n",
    "\n",
    "# 【設定】定積分の積分区間[a,b]\n",
    "a, b = 0.5, 1.5\n",
    "\n",
    "# 処理の実行\n",
    "integrate_result = f_plot(x_min, x_max, a, b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "KE0rGqMPTzFz"
   },
   "source": [
    "- 確率密度関数 例7  \n",
    "$\n",
    "f(x)=\n",
    "\\begin{cases}\n",
    "-\\cfrac{3}{500}x^2 + \\cfrac{3}{50}x &(0\\leq x\\leq10)\\\\\n",
    "0 &(x<0, 10<x)\\\\\n",
    "\\end{cases}\n",
    "$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "id": "iaTQR8JTTzFz"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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WbbFy5UoBQHzwwQdXPP+RI0fEyy+/LNasWSM2bNgg3nzzTREcHCwGDhwoKioqrO3efPNNAUCMGzeuyQ3niBwFwwpRM5WXl4s+ffpYl8sePHhQdO7cWWg0GhEUFCQ2btwojh07JjIyMkRmZqbIyMgQJ06cEOfPn7c5z+Vh5ejRo2LatGmiX79+ori4WJSXl4tRo0aJYcOGiffee8+66sgiOztbPPHEEwKAWLRokRBCiAMHDoi1a9eKQ4cOiW+++UaoVKpmL4G9VGFhoQAgevToYfdzLzd06FBxyy23NPmz4cOHi9tuu00IYV4F061bN3HjjTc2WvL98MMPC7Va3Wh1zcaNGwUAkZqaanP87NmzYty4ccLb21v4+/uL5ORksWzZMgFA/PTTTy16rbZQUVEhnnzySREeHi7c3NxEv379GoVOSzB+6aWXbI4nJiYKLy+vRr8Xlzp16pRISEgQgYGBws3NTURHR4sXXnhBVFZW2rQbMWLEVVc1ETkK/jYSNdNjjz0moqKibLa3Ly8vF2+99ZYYPXq0iIiIEGq12ubDXi6XNwoNl4aVBx98UPTr108sXbpU1NbW2rTbtWuXGDZsmLj77rutx06fPi3c3d1Fly5dxA8//GA9vmbNGhEaGirc3NyEUqkU8fHxoqioyO73ePbsWQFA3HjjjXY/1x7ffPONUCgUIjs7u0XP/9Of/mSzEysRuTaZEEK0x9wYImd3/vx5VFVVWZfBXonBYIDRaIRCobjqqhBL22u1qa+vh0qlsv53amoq+vfvf83nNVdWVhZOnTqFm2++GSdOnMCAAQMwcuRIbN68uVXO3xQhBG666SYMGDAAS5cuteu56enpiImJwaZNmzBs2LA2qpCIHAlXAxE1U5cuXa4ZVADzslW1Wt2sMNGcNpcGFcC830drBRUA+Pzzz5GYmIiNGzdi586dAICoqKgrts/KysL48eMREhICf39/PPLII3bfOVkmk+HDDz+ERqOx+7mZmZlYunQpgwpRB8KeFaIO7tSpU+jbty/c3NxQV1eH+vp6/PzzzxgzZkyT7Y8fP46ioiIMHToUubm5GDZsGD7++ONGy6eJiFoLe1aIOriePXti2bJl8PHxgU6nw6effnrFoAKYd4NNSEiASqVCly5dMGTIEFy8eLEdKyaijoY9K0Rkly+++ALvvPMO0tPTYTAYUFlZiX379uGGG26QujQiclEMK0TUbOvXr8esWbPw1VdfoU+fPigpKUFUVBRKSkrg5uYmdXlE5KI4DEREzXb48GFERkaiW7duyM3NxZ/+9Cd07dqVQYWI2hTDChE127333ovi4mKEhobi/vvvR+/evW3uDE1E1BY4DEREREQOjT0rRERE5NAYVoiIiMihMawQERGRQ2NYISIiIofGsEJEREQOjWGFiIiIHBrDChFZbdq0CdOnT0evXr3g5eUFrVaLO+64A6mpqc0+R2VlJZ566iloNBq4u7sjLi4OK1eubHG75r6mQqHAm2++2aLnX4+DBw/izjvvhEajgaenJ3r16oVXXnkF1dXVzXq+PdehNa8ZkTNpvfvME5HT+/e//43i4mLMmjULvXv3RmFhIf7xj39gyJAh+Pnnn3HLLbdc8xx33XUX9u3bh9dffx09evTAF198galTp8JkMuGee+6xu11zpKamwmQyYfDgwXa/5+tx/Phx3HTTTejZsyfefvttBAcHY9u2bXjllVeQmpqK1atXX/Mc9lyH1rxmRE5FEBE1yM/Pb3SsoqJChIWFidGjR1/z+T/99JMAIL744gub44mJiUKj0QiDwWBXu+Z68803hUKhEFVVVXY973r99a9/FQDEmTNnbI4/8sgjAoAoKSm56vPtuQ6tfc2InAmHgYgc0N69ezF58mRERkbCw8MDoaGhmDhxItLT09v0dUNDQxsd8/b2Ru/evZGVlXXN53/33Xfw9vbGpEmTbI5PmzYNubm52LNnj13tmmvfvn2IjY3Fzp07MXz4cHh5eSE6OhrvvvuuXeexl0qlAgD4+fnZHPf394dcLr/mPZPsuQ6tfc2InAnDCpEDOnToEPr374933nkHP//8M5YsWYK0tDTcddddTbYXQsBgMDTrYa+ysjIcOHAAffr0uWbbo0ePIiYmBkql7Qhzv379rD+3p11z7d+/H0VFRXj++ecxc+ZM/O9//0NMTAxmzpyJ77//vsnntMY1e+CBB+Dv74/HHnsMGRkZqKiowJo1a/D+++/j8ccfh5eX11Xrtuc6tPY1I3ImnLNC5IAeeeQR6/82mUwwmUyora3FQw89hNLSUvj7+9u037p1K0aNGtWsc589exaRkZHNruXxxx9HVVUV/vrXv16zbXFxMbp27droeGBgoPXn9rRrjosXLyI9PR19+vTB1q1b4eHhAQAYPnw4IiIisHLlStx5552Nntca1ywyMhK7du3CxIkT0a1bN+vxJ598Em+//fY1z2vPdWjNa0bkbBhWiByMEALffvst3nvvPZw8eRIXLlyAaLjfqFwut/4xvtSAAQOwb9++Zp1fo9E0u5b58+fj888/x7/+9S8MGDCgWc+RyWTN+llz213L/v37AQALFy60uTaenp7o3r078vPzm3xea1yzc+fOITk5GWFhYfjmm28QEhKCPXv24NVXX0VlZSWWLVt2zXPbcx1a65oRORuGFSIH88gjj2D58uV49NFH8eSTTyIkJARqtRoPPfQQampqoFarGz3H29sbcXFxzTr/5cMIV7JgwQK8+uqrWLRoEWbOnNms5wQFBTX5Db+kpATA770AzW3XHPv374eXlxduv/32Rj+7cOECEhISmnxea1yz5557DuXl5Th06JB1yCchIQHBwcGYPn067r//fowYMeKK57XnOrTmNSNyNpyzQuRATp06hY8++givvfYali5dijvvvBM333wzIiMjcezYMQwcOLDJ523duhUqlapZj3Pnzl2zjgULFuDll1/Gyy+/jOeff77Z9fft2xcnTpxoNM/jyJEjAIDY2Fi72jXH/v37ERoaCoVCYXN8586dOH/+PJKSkpp8Xmtcs0OHDqF3796N5qbEx8cDuPY8EnuuQ2teMyJnw54VIgdy/vx5AEDv3r1tjs+aNQsGg+GKYaU1h4EWLlyIl19+GS+88AJeeumlZp3TYuLEifjwww/x7bffYvLkydbjn376KTQajXUflOa2a459+/ahoKDAZi6PwWDAs88+i169euHuu+9u8nmtcc00Gg2OHj2KyspKeHt7W4/v2rULAKDT6a56XnuuQ2teMyKnI+3KaSK61IULF4Snp6e44YYbxE8//SS++eYbMXbsWNGtWzcBQGzbtq1NX//NN98UAMS4cePErl27Gj0stmzZIhQKhViwYEGjcyQmJoqAgADxwQcfiE2bNomHH35YABCfffZZi9oJIQQAMWLEiEbHCwoKBADRrVs3MXr0aJGSkiK+++47MXLkSOHn5yeOHDly/RflKlavXi1kMpkYMmSI+Oqrr8TGjRvFokWLhLe3t+jdu7fQ6/XWtle6ZvZcB3vaErkShhUiB7NmzRrRq1cvoVarRe/evcU777wjXn31VSGXy0VFRUWbvvaIESMEgCs+LDZv3iwAiJdeeqnROSoqKsSTTz4pwsPDhZubm+jXr5/48ssvr6sdADFlypRGP7NslLZ7927x8MMPC19fX+Hr6yv+8Ic/iLS0tOu7GM20adMmMWbMGBEeHi48PDxEjx49xF/+8hdRVFRk0+5K16y518HetkSuRCZEwzIDIiIHtHbtWkyYMAGHDx9G3759pS6HiCTACbZE5NA2b96MKVOmMKgQdWDsWSEiIiKHxp4VIiIicmgMK0REROTQGFaIiIjIoTGsEBERkUNjWCEiIiKH5hLb7ZtMJuTm5sLHx4d3HiUiInISQghUVFRAo9FALr9y/4lLhJXc3FxERERIXQYRERG1QFZW1lXvpeUSYcXHxweA+c36+vpKXA0RERE1R3l5OSIiIqx/x6/EJcKKZejH19eXYYWIiMjJXGsKByfYEhERkUNjWCEiIiKHxrBCREREDo1hhYiIiBwawwoRERE5NIYVIiIicmgMK0REROTQGFaIiIjIoTGsEBERkUNjWCEiIiKHxrBCREREDo1hhYiIiByaS9zIkIicX1l1Pc6XVCGvrBb55bW4WFWPeqMJ9UYTjCYBL7USvh4q+LoroQ3wQGSQF8J93SGXX/0GaETk/BhWiKjdGYwm/JZThh2ni/BbThmO55Yjp7TG7vOolXL06uSLGzv748bOARjcNRChPu5tUDERSUkmhBBSF3G9ysvL4efnh7KyMvj6+kpdDhE1obbeiI0nCrDmt1xsP1OEilpDozbB3m4I9XFHiI8aAZ4quCnlUCrkkAGorjOiUm9AeU09cstqkFtaC6Op8cdX/wh/JMaEYlxsOKJDfdrhnRFRSzX37zfDChG1GSEEDmSW4vM95/Hz0QuoqjNaf+bjrsTALgGIi/BHz3AfRId6w8dd1exzG0wm5JbW4kReOY5kl+G37DKcyq+waXNDZ3/8cWAEJvTrZNe5iah9MKwQkWTqjSas+S0Xy3ecw+HsMuvxTn7uSOwdhpE9Q9Ar3BeKVp5vUlSpx/bTRdiaVog9Z0usPS9ebgrcM7gz/m9YV4T7cZiIyFEwrBBRuzOaBL4/mIN3Np5GZkk1AMBNIceYPmG4I06Dvlo/yGTtMyG2uFKPtUcv4MdDuTjfUItKIcNdN+jwxOho6AI826UOIroyhhUiajdCCKw/no831p1EemEVACDAU4U/DozAxBu0CPByk7S2XRnF+O/O8ziYVQoAcFPKMe2mSMwYGQ0/Tw4PEUmFYYWI2kVGYSVe/vE4tqUVAgB8PZS4f0gk/jBABw83hcTV2fotuxT/2ZqB1PMXAQD+nio8M7YnpsZ35hJoIgkwrBBRm9IbjPjXxjN4f1s66o0CKoUM9w7ugvuGdoG32nF3RRBCYGd6MZZuOoOMInMv0MAuAXjtrr7oEcbVQ0TtiWGFiNrM0ZwyzFl1GCcvmFff3NQtCE8n9kBEoPPMAzGaBL5Jzca/t6Sjpt4IlUKGJ2/pjhmjolt94i8RNY1hhYhandEk8N7mM3hn42kYTAIBnirMHdcLo3qGtNvE2dZ2oawWf//5FLafKQIAxEcG4K0/xjlV8CJyVgwrRNSqiir1eGrlIesf9ZE9Q/DsuF4IlHDybGsRQiDl6AX8/edTqK4zwketxGt39UVyf43UpRG5tOb+/XbcgWUichj7zpVg5hcHkF+uh7tKjrlje+G2vuFO25tyOZlMhtv6dkJ/nT9e+uEYjuSU4YkvD+JwVimeG98LSgXv+UokJf4LJKKr+mz3eUz5YDfyy/WIDPLEJw/GI6lfJ5cJKpfSBnjgP/fdiAdu6gIA+Gj7Wdz/8V4UV+olroyoY2NYIaImGYwmLPjxGF74/iiMJoHE3mH4ZFo8uoZ4S11am1LK5ZgxMhqv39UXnm4K7Ewvxu1Ld+D0ZVv5E1H7YVghokYq9QY89N/9+GTHOQDAn0d0xcI7+sDTreOMHI/qFYplDwxERKAHckprcPe/d2J3RrHUZRF1SAwrRGSjpKoO9364G1tOFUKtlOO1ibGYdnOUSw77XEvXEG8suz8e/XR+KK814P5le7H6UI7UZRF1OAwrRGSVV1aDP76/C4ezy+DnocK//3QjRseESV2WpPw8VfjX1BswqmcI6owmzFp5CCt2n5e6LKIOhWGFiAAAZ4uq8Id/78KZgkqE+Kjx/n0D0EfjJ3VZDsFdpcCiiX3xx4E6AMD874/io18zJK6KqONoUVhZvnw5YmNjodPpEB8fj+3bt1+xbWFhIT799FMkJCQgKirqquc1GAwYNGgQIiMjW1IWEbVQemEl/vj+LuSU1iAi0AMf3j8AUcFeUpflUBRyGZ5O7IH7h5pXCr360wm8u/mMxFURdQx2h5UVK1Zg3rx5WLVqFbKzszF37lwkJSUhI6PpbxmJiYlYt24dOnfujGvtP/fiiy9Cr+cSQaL2dK6oCvd8uBuFFXpEh3rj/T8NQCc/D6nLckgymQwzRnbDw8PNX7z+/vMpvP1LmsRVEbk+u8PKggULMGfOHMTExAAAJk2ahISEBCxdurTJ9ocOHcKXX36JW2+99arn3bZtG1asWIGFCxfaWxIRtVBWSTXu+dC8h0rXYC8snXoDgrzVUpfl0GQyGR4a3hUzb4kGALz9y2l8sC1d4qqIXJtdYSUzMxPp6elITk62OZ6cnIyUlJQWF1FaWor77rsP7777LrfLJ2onOaU1mPrhbuSW1SIyyBNL77kBAS6wdX57uW9IF8wY2Q0A8Nrak/hiT6bEFRG5LrvCSm5uLgBAo7G9X4ZWq0VOTsuX8/35z3/GmDFjcPvttzervV6vR3l5uc2DiJrvYlUd7lu2B9kXa6AL8MDSe25kj0oLPHBTpHW3279+f4TLmonaiF1hRaVSmZ8kt33a9ey/sHz5cuzfvx9Llixp9nMWL14MPz8/6yMiIqLFr0/U0dTUGfF/n+5DRmEVQn3UeO/eGxHiw6DSUo+N6IY/DNBBCODprw9j08l8qUsicjl2hRWdzrxsz9LDYpGXlwetVmv3i2dkZGD27NlYsWIFvL2bv4X3vHnzUFZWZn1kZWXZ/dpEHZHBaMITXx7EgcxS+Lgr8c6UOIT5uktdllOTyWT4y5geuK1vOIwmgZlfHMTRnDKpyyJyKXaFlbCwMMTFxWHt2rU2xzds2IDx48fb/eLbtm1DaWkpbrrpJshkMshkMowaNQrnz5+HTCbDCy+80OTz1Go1fH19bR5EdHVCCLz4wzH8ciIfbgo53pzU3+Xv89Ne5DIZ/npbDAZFBqK6zojpy/chp7RG6rKIXIbdq4Hmzp2LN954A2lp5uV6q1evRkpKCmbMmGH3iz/44IMQQtg8Nm/ejC5dukAIgVdffdXucxJR0z769Sy+2JMJGYBX7uiDuAh/qUtyKUqFHIvv6ovoEG8UVOgx/ZN9KK+tl7osIpdgd1iZOnUq5s+fjwkTJkCj0WDRokVYs2YNoqOjkZ2dDZ1Oh1WrVrVFrUTUQptPFuC1lBMAgNmJPTCqV6jEFbkmb3cl3prcH8HebjiVX4HHPz8Ag9EkdVlETk8mrrVTmxMoLy+Hn58fysrKOCREdJnT+RW4672dqNAbcEecBvPG9+qQNyVsT6cuVODRFamoqTfioWFReGFCb6lLInJIzf37zXsDEbmwi1V1eOi/+1GhN+CGCH88M7Yng0o76Bnug5eSzQHlo+1n8d3BbIkrInJuDCtELspoEnjiy4M4X1yNTn7ueP3uvlAp+E++vYzqFYppN0cCAJ779ghXCBFdB35yEbmot39Jw/YzRfBQKfDmpP7w9+TutO3tkYSuuDk6CHqDCY/8dz+KKnnvM6KWYFghckGbTxXgX5vMdwSed1svRIdyibIU5DIZFtzeB50DPZFbVotZKw/CaHL6aYJE7Y5hhcjFZF+sxuyvDgEA7r5Ri7F9wqUtqIPzcVfhjT/0g7tKjh1nivHu5jNSl0TkdBhWiFyI3mDE458fQGl1PXp38sVTt/aQuiQCEBXshWfH9QJgHp7blV4scUVEzoVhhciFvLHuFA5nl8HXXYnX7oqFm5L/xB3FbX07IalfJ5gEMGvlQc5fIbIDP8mIXMS2tEIs234WAPBicm908vOQuCK63DNjeiIq2AsFFXrM/uoQTJy/QtQsDCtELqC4Uo+/rDoMAPjDAB2Gdw+RuCJqioebAq9NjIVaKcevp4vw8Y6zUpdE5BQYVoicnBACz377Gwor9IgK9sITt0RLXRJdRdcQb8xONM8lemPdKZy6UCFxRUSOj2GFyMl9vicTv5wogEohwyt39IG7SiF1SXQNd8ZpcHN0EOqMJjz11SHoDUapSyJyaAwrRE7sTEEFXv3pOADg8VHR6BHmI3FF1BwymQx/vS0G/h4qnMgrx5INp6UuicihMawQOSmD0YS/rPoNtfUmDI4KxOT4CKlLIjsEeasx7zbzcub3t6Vj79kSiSsiclwMK0RO6qPtZ3E4qxTeaiVemBADOW9Q6HRG9gzFhH6dIAQw+6tDqKitl7okIofEsELkhM4UVOKtDWkAgKdu7Y5QH3eJK6KWmp3YA5383JFTWoO/rTspdTlEDolhhcjJGE0Cz3xzGHUGE4Z2DcKEfp2kLomug7daiReSYgAAn+3OxJ4M7m5LdDmGFSIn8/H2sziYWQpPNwXm3dYLMg7/OL2BkYG4I04DAHjuf0dQW8/VQUSXYlghciIZhZV4c/0pAObhnzBfDv+4iiduiUawtxvOFlXhnY1cHUR0KYYVIichhMC8/x2B3mDCoKhA3N5fI3VJ1Ip83FWY23Czww+2ZeBoTpnEFRE5DoYVIifx7YEc7DlbArVSjnnjOfzjikb0CMGtMaEwmgTmfvMb6o0mqUsicggMK0RO4GJVHV5bewIA8NDwKGj8eZNCV/V0Yg/4eihxPK8cn/DeQUQAGFaInMLrKSdRUlWHrsFeuGdQZ6nLoTYU5K3Gk7d0BwC8/ctp5JXVSFwRkfQYVogc3L5zJfhqfxYA4LnxvaBU8J+tq0vq1wn9dH6orjNi4ZrjUpdDJDl+6hE5sDqDCX/97ggA4I44DfpH+EtbELULuUyGZ8b2hFwGrD1yAdvSCqUuiUhSDCtEDuzjHWeRll8Jfw8VHh8VLXU51I56hPngjwPN93t6cfVR7r1CHRrDCpGDyi+vxT8b9tt4cnR3+HmoJK6I2tvDCV0R7O2Gc8XV+GBbhtTlEEmGYYXIQf0t5SSq64yI1fpifN9wqcshCXirlXhytHmy7bubzyCzuFriioikwbBC5IAOZF7E/w7mAAD+ktiTd1TuwMb0DsPALgHQG0zW5etEHQ3DCpGDMZkEFvxwDAAwoV8n9Nb4SlwRSUkmk+HpxB6Qy4B1xy5gN290SB0QwwqRg/nmQDYOZ5fB002BGSO7SV0OOYBuod6YeIMWALBwzXEYTULiiojaF8MKkQOpqK3HG+vMNyqcPiwKQd5qiSsiR/Hw8K7wVitxLLcc36ZmS10OUbtiWCFyIEs3nUFRpR4RgR6YEh8hdTnkQAK83PB/w6IAAG/8fAqVeoPEFRG1H4YVIgeRVVKNT3acAwA8NboHVNypli4zaaAOugAPFFXq8d7mM1KXQ9Ru+GlI5CD+sf4U6owmDOgSgJujg6QuhxyQSiHHrIalzB9tP4usEi5lpo6hRWFl+fLliI2NhU6nQ3x8PLZv337FtoWFhfj000+RkJCAqKioJtvs2LEDCQkJ0Ol0iIqKwqxZs1BVVdWS0oic0tGcMnx/KBcA8MQt0ZBxqTJdwfDuwYiPDECdwYQ315+SuhyidmF3WFmxYgXmzZuHVatWITs7G3PnzkVSUhIyMpreXTExMRHr1q1D586dIUTjGewnT55EUlISZs2ahezsbBw8eBBHjhzBU089ZfebIXJGQgjr/hlj+4QhphOXKtOVyWQy60Zxqw/l4mhOmcQVEbU9u8PKggULMGfOHMTExAAAJk2ahISEBCxdurTJ9ocOHcKXX36JW2+9tcmf7927F9OmTcPdd98NAPD398fs2bPx7bff2lsakVPamlaInenFUClk+PMILlWma+sR5oOxfcIAAH9bd1Liaojanl1hJTMzE+np6UhOTrY5npycjJSUlBYVcP/992PJkiU2x44cOQJfX367JNdnNAm8nmL+YzNpYAQ0/h4SV0TO4tGEblDKZfj1dBF2nCmSuhyiNmVXWMnNNY+pazQam+NarRY5OTmtUtB///tfLFiwAC+//PIV2+j1epSXl9s8iJzRtweycfJCBXzclXjwpkipyyEnog3wwF03mjeKez3lJEzcKI5cmF1hRaUy3/VVLrd9WmtMBqypqcH06dMxa9YsrFixAg8++OAV2y5evBh+fn7WR0QE96Mg51Nbb8SSDWkAgAdviuRdlclu02+OgqebAkdyyrD2aJ7U5RC1GbvCik6nA/B7D4tFXl4etFpti4soLi7G8OHDkZeXh2PHjuGPf/zjVdvPmzcPZWVl1kdWVlaLX5tIKiv3ZiKvrBYhPmpMGqiTuhxyQgFebrh3cGcAwJs/n0K90SRxRURtw66wEhYWhri4OKxdu9bm+IYNGzB+/PgWFVBfX48JEyZg2LBhWLt2baMhpqao1Wr4+vraPIicSU2dEUs3pwMApt8cCbVSIXFF5KzuGdwZAZ4qnCuuxsp9/OJGrsnu1UBz587FG2+8gbQ0c/f16tWrkZKSghkzZrSogCVLlsDT0xNLlizh3hLUYfx31zkUVeqh8XdHcv9rB3SiK/F0U1q34X930xnU1hslroio9dkdVqZOnYr58+djwoQJ0Gg0WLRoEdasWYPo6GhkZ2dDp9Nh1apVzT5fSkoKUlNTERERAZ1OZ/PYtWuXveURObyK2nr8e6u5V+Xh4V25rT5dtzvitAjzVeNCeS1W7s2UuhyiVicTTe3U5mTKy8vh5+eHsrIyDgmRw3vnl9NY8ksaIoM88cXDQ6CQs0eRrt//DmTjb+tOIcRHjV/njoK7ikOL5Pia+/ebX+mI2lFpdR0++tW82/PDw7syqFCrSe6vQSc/dxRW6PHZ7vNSl0PUqhhWiNrRB9syUKE3oHuoN26JCZW6HHIhKoUc0282z135z9Z0VNcZJK6IqPUwrBC1k6JKPT7ZcQ4A8OiIrpBzQjm1stv6hkPr74Giyjqs2MXeFXIdDCtE7eTDbRmoqTeij8YXw6KDpS6HXJBSIbeuDPrP1nRU6tm7Qq6BYYWoHVysqsOKhnkE04dFcZk+tZmxsWGICPTAxep6fLrznNTlELUKhhWidvDxjrOorjOiZ5gPbu4WJHU55MKU8t97Vz7YloGK2nqJKyK6fgwrRG2srKYeyxvmqky7OZK9KtTmxvQOR+dAT5TV1OPzPdx3hZwfwwpRG/t05zlU6A3oFuKFET1DpC6HOgCFXIYHbuoCAPjo17Pc1ZacHsMKURuq1Bvw8Y6zAMx3VuYKIGov4/qEI9zXHUWVeny9n/cMIufGsELUhj7bfR6l1fXoHOiJ0TFhUpdDHYhSIcefhpjvyPz+1gzekZmcGsMKURupqTNad6t98KZI7lZL7S65vwaBXm7IKa3B9wdzpC6HqMUYVojayBd7M1FUWQeNvzvG9mGvCrU/d5UC9wwy9678e0s6jCanvxUcdVAMK0RtoM5gwofbzL0q9w+NhJJ3ViaJ3HWjFr7uSmQUVSHlaJ7U5RC1CD9BidrAD4dzcaG8FsHebkjq20nqcqgD81Ir8ceBEQCAdzenQwj2rpDzYVghamUmk8AH29IBAFPiO8NNyX9mJK0/DoyAh0qBE3nl2HyqQOpyiOzGT1GiVrYlrQBp+ZXwdFNg4g1aqcshgp+nCnfdaP5d/M/WDImrIbIfwwpRK7P8MbjrRi283ZUSV0NkNmVQBBRyGfaeLcGhrFKpyyGyC8MKUSs6kHkRe8+WQCmXYXJ8hNTlEFmF+vy+Ks0y+ZvIWTCsELWiDxp6VcbFhiPUx13iaohs3TvYvAV/ytE8ZBZXS1wNUfMxrBC1kozCSvx8/AIA4N7BnSWuhqix6FBvDOkaCJOA9TYQRM6AYYWolXz461kIAQzvHoyuId5Sl0PUJEvvylf7slBaXSdxNUTNw7BC1AoKK/T49kA2AOBPQ7pIXA3RlcVHBqB7qDdq6o34fE+m1OUQNQvDClEr+Gz3edQZTIjV+qK/zk/qcoiuSCaT4d6GGxx+suMc9AajxBURXRvDCtF1qq034vM95wEA9wzqDJmMNywkx5YYE4ZQHzWKKvVYfTBX6nKIrolhheg6/Xg4F0WVdQjzVWNEzxCpyyG6JqVCjimDzEvrP/g1Aybe4JAcHMMK0XUQQuDjHecAAJMGRkAp5z8pcg53xGnhpVbgTEEltp8pkrocoqviJyvRddidUYITeeVwV8lxR3+N1OUQNZu3Wonkfubf2U+4jJkcHMMK0XWw7FWR1LcTfD1UEldDZJ8/DNBBBmDzqUKcLaqSuhyiK2JYIWqh88VV+OVEPgDzXW2JnE1EoCdujg4GAHy685y0xRBdBcMKUQst33kOQgBDuwUhMthL6nKIWuSP8ToAwDep2aiorZe4GqKmMawQtUBFbT1W7TdvAjeFNywkJzYoMhCRQZ6o1BvwTWq21OUQNYlhhagFvt6fjUq9AZFBnhgcFSh1OUQtJpP9fofwT3ee4zJmckgMK0R2MpmEdXx/cnwEN4Ejpzc+thO81UqcK67GlrQCqcshaoRhhchOW08XIrOkGt5qJW7r20nqcoium4ebArfHWZYxn5O2GKImtCisLF++HLGxsdDpdIiPj8f27duv2LawsBCffvopEhISEBUV1WSb3bt3Y/jw4ejcuTO6d++ODz74oCVlEbWLz3aZt9af0K8T3FUKiashah2TGpYx/3q6CGcKKqQuh8iG3WFlxYoVmDdvHlatWoXs7GzMnTsXSUlJyMjIaLJ9YmIi1q1bh86dO0OIxmOhJ0+exJgxY/DUU08hMzMTq1evxosvvoivv/7a/ndD1MaySqqx6ZS5m/zuG3USV0PUejT+Hhjew7KM+bzE1RDZsjusLFiwAHPmzEFMTAwAYNKkSUhISMDSpUubbH/o0CF8+eWXuPXWW5v8+ZtvvokRI0bg7rvvBgD07t0bzzzzDF5//XV7SyNqc5/vyYQQwKCoQHQO8pS6HKJWNWmAeaLtdwdzUKU3SFwN0e/sCiuZmZlIT09HcnKyzfHk5GSkpKS0qIBNmzY1eb6DBw8iPz+/yefo9XqUl5fbPIjaWm29EV/vzwIA/IG9KuSCBkYGICLQA5V6A74/lCN1OURWdoWV3FzzrcQ1Gtt7oGi1WuTktOwXOzc3t8nzAbjiORcvXgw/Pz/rIyKC+1xQ20s5moeSqjqE+qhxc/cgqcshanVymQx33WAO4p/tzmxy6J5ICnaFFZXKfO8T+WV3lr2epZsqlcru882bNw9lZWXWR1ZWVotfn6i5VjRMrJ14g5Z3VyaXldSvE9RKOU7kleNAZqnU5RABsDOs6HTmxG3pYbHIy8uz9obYS6fTNXk+AFc8p1qthq+vr82DqC0dzSnDgcxSKOUy3BHHuyuT6/LzUOHW3mEAgM93c6ItOQa7wkpYWBji4uKwdu1am+MbNmzA+PHjW1TAuHHjmjxfXFwcwsLCWnROotb2WcOH9qheoQjyVktcDVHbuvtG8xfFNUfycLGqTuJqiFqwGmju3Ll44403kJaWBgBYvXo1UlJSMGPGjBYV8Pjjj2Pjxo344YcfAABpaWl49dVX8eyzz7bofEStraym3jrZ0PIhTuTKenfyRc9wH9QZTFiVymF2kp7dYWXq1KmYP38+JkyYAI1Gg0WLFmHNmjWIjo5GdnY2dDodVq1a1ezzRUdHY82aNVi4cCG0Wi2SkpLw4osvYsqUKfaWRtQmvk3NRm29Cd1CvBAX4S91OURtTiaTWYP553syeb8gkpxMuMB07/Lycvj5+aGsrIzzV6hVCSFw61tbkV5Yhblje+LuAVyyTB1DTZ0RE/61HZV6A/47fRASeoRIXRK5oOb+/eaSBqKr2HfuItILq+CukmNsbLjU5RC1Gw83BW7ra/6d/4wTbUliDCtEV7FybyYAILF3GLzVSomrIWpfE28wDwX9ciIfF8pqJa6GOjKGFaIrKKuux09HzMvo74jjxFrqeLqGeCMuwh8mAXzDibYkIYYVoiv4/lAO9AYTPN0UiNVwLhR1TJZ9hb7an8WJtiQZhhWiJggh8GXDEFC4n/t17dJM5Mxu6RUKhVyGrJIa7Moolroc6qAYVoiacDi7DCcvVMBNKUeoDzeBo47LXaVAuK/538DKfRwKImkwrBA14at95l6V22LDoVLwnwl1bJ38PAAAPx+9wB1tSRL8FCa6TJXegB8Ome9XNWVQZ4mrIZKej7sSfTS+qDOa8N3BHKnLoQ6IYYXoMj8ezkVVnRFdg70wOCpQ6nKIHMKU+AgAwFf7suACe4mSk2FYIbrMlw3j8pPjIzixlqjB7XFaqJVynMqvwKGsUqnLoQ6GYYXoEifyynE4qxQqhYxb6xNdws9DhaS+nQCYe1eI2hPDCtElLt2xNtibq4CILjW5YSjoh8O5qNQbJK6GOhKGFaIGeoMR3zdMrJ0cz4m1RJcbFBWIqGAvVNcZ8dNvuVKXQx0IwwpRg40nClBWU49wX3cMiw6WuhwihyOTyfDHgb9PtCVqLwwrRA2+Sc0GANx1oxYKOSfWEjXl7gHmfx8HMktxOr9C6nKog2BYIQJQUF6LrWmFAMCJtURXEerjjlE9QwAA3x7gnivUPhhWiGC+aaHRJHBjZ390C/GWuhwih3b3jeZA/93BbBh5c0NqBwwr1OEJIaxDQH8YECFxNUSO75aYUPh5qJBfrsf2M0VSl0MdAMMKdXhHcsqQll8JtVKOpH6dpC6HyOGplQrc3l8DAPi2IegTtSWGFerwLL0qY/uEw89DJXE1RM7hDw1zu34+dgHltfUSV0OujmGFOjS9wYjVDXur/IETa4marZ/OD9Gh3tAbTFj7W57U5ZCLY1ihDu3SvVVu5t4qRM0mk8msE22/PcChIGpbDCvUoXFvFaKWm3iDFnIZsO/cRZwvrpK6HHJhDCvUYXFvFaLrE+73e48k91yhtsSwQh0W91Yhun6WuV7/O5ANE/dcoTbCsEId1v8avgmyV4Wo5cb2CYePWonsizXYc7ZE6nLIRTGsUId0Iq8cJy9UwE0hx4S+GqnLIXJa7iqFdX8iTrSltsKwQh3S94fMvSqjeoXAz5N7qxBdD0vvZMqRPFTXGSSuhlwRwwp1OCaTwA8Ne6vcGaeVuBoi5zewSwA6B3qiqs6IDcfzpS6HXBDDCnU4e86WIK+sFj7uSozqFSp1OUROTyaT4Y4483Cq5YsAUWtiWKEOZ3XDENBtsZ3grlJIXA2Ra7ijoZdya1ohSqrqJK6GXA3DCnUotfVG/HTEvDX4nTdwCIiotUSHeiNW6wuDSVj/jRG1FoYV6lC2nCpARa0BnfzcMTgqUOpyiFyKZQ7Y6oPcII5aV4vCyvLlyxEbGwudTof4+Hhs3779im1zcnIwefJkREZGQqvVYvbs2dDr9TZt/vOf/6Bv377Q6XTo1q0b5syZg8rKypaURnRV3zV8iN4ep4Gc2+sTtaoJ/TSQyYD95y8iq6Ra6nLIhdgdVlasWIF58+Zh1apVyM7Oxty5c5GUlISMjIxGbevq6pCYmAidToczZ87g2LFjSE1NxezZs61t3nnnHSxcuBArV65EdnY2du3ahf379+PBBx+8rjdGdLmy6npsPmneXn8ih4CIWl24nzuGdg0CAPxwmBNtqfXYHVYWLFiAOXPmICYmBgAwadIkJCQkYOnSpY3afv3118jPz8fixYuhVCrh7++PJUuWYNmyZSgqKgIArFu3DpMnT0afPn0AAKGhoZg9ezbWr19/Pe+LqJG1R/NQZzShV7gPeoX7Sl0OkUuyDgUdyoEQ3H6fWoddYSUzMxPp6elITk62OZ6cnIyUlJRG7Tdt2oSxY8fCzc3NemzAgAEICgrCxo0brf+9adMm67CPEAJr167FsGHD7H4zRFdjGQLixFqitjOubzjclHKk5VfiRF6F1OWQi7ArrOTmmrv1NBrb7cm1Wi1ychpPqMrNzW3U9vL2L774IkaPHo2+ffviiSeewNChQ+Ht7Y2VK1desQ69Xo/y8nKbB9HV5JTWYO/ZEshkwO39ub0+UVvxdVdhdMP+RZZtAoiul11hRaUyb0sul9s+TSZreqKiSqVq1Pby9hUVFcjJyUHfvn0xcOBA9O7dG+vXr8fRo0evWMfixYvh5+dnfURERNjzNqgDsnxoDo4KhMbfQ+JqiFybZc+VHw7n8k7M1CrsCis6nfn+D5YeFou8vDxotY271nU6XaO2l7efOnUqwsPD8cMPP+CBBx7Axx9/jJdffhlJSUkoKytrso558+ahrKzM+sjKyrLnbVAHxO31idrPqF4h8HFXIq+slndiplZhV1gJCwtDXFwc1q5da3N8w4YNGD9+fKP248aNw/r162Ew/H5jq5MnT6KgoACjR48GAGzfvh0jR460eV5iYiJKS0tx6tSpJutQq9Xw9fW1eRBdyZmCCpy8UAGVQoZxseFSl0Pk8tRKBW6LNd+J+YfDHAqi62f3aqC5c+fijTfeQFpaGgBg9erVSElJwYwZMxq1TUpKQmhoKObPnw+j0YiysjLMnDkT06ZNQ3BwMABg1KhR+Mc//oG8PPOOh5WVlZgzZw40Gg1iY2Ov570RAQB+PGz+3RrePQT+nm7XaE1EreGOG8xzw376LQ91BpPE1ZCzszusTJ06FfPnz8eECROg0WiwaNEirFmzBtHR0cjOzoZOp8OqVasAAEqlEuvWrcPx48cRERGBPn36oG/fvnjnnXes5/viiy8wcOBA3HzzzdBqtejZsydqamrw66+/wtPTs/XeKXVIQgis+c08BDShXyeJqyHqOIZEBSHMV43yWgN+PV0odTnk5JQtedKjjz6KRx99tNFxnU6H7OzsRsdWr159xXP5+flhyZIlWLJkSUtKIbqqE3kVSC+sgptSjsTeYVKXQ9RhyOUy3Na3Ez7ZcQ5rfsvD6Bj++6OW472ByKVZelVG9QyBj7tK4mqIOhZLb+aG4/morTdKXA05M4YVclnmISDzfJUJ/bi3ClF7uyEiABo/d1TqDdhyikNB1HIMK+SyfssuQ2ZJNTxUCoyOCZW6HKIORy6XIamhd8XSy0nUEgwr5LIsH46jY0Lh6dai6VlEdJ0svZobTxSgus5wjdZETWNYIZdkMgn8xCEgIsn10/mhc6AnauqN2HSyQOpyyEkxrJBLOpB5EblltfBWKzGyZ4jU5RB1WDLZ70NBli8QRPZiWCGXZJlYO6Z3GNxVComrIerYkvqaw8qmkwWo1HMoiOzHsEIux2gS+OlIwxBQf24ERyS1PhpfRAV7QW8wYeOJfKnLISfEsEIuZ8/ZYhRW6OHnocKwaA4BEUlNJpNZ91yx3P6CyB4MK+RyLENA4/qEw03JX3EiR2CZ6L4trRBlNfUSV0POhp/k5FLqjSakNAwBJffnKiAiR9Ez3AfdQ71RZzRhw3EOBZF9GFbIpezJKMHF6noEerlhSNdAqcshoktwgzhqKYYVcilrj5p7Vcb2CYNSwV9vIkdiGQrafroIZdUcCqLm46c5uQyjSWD9sQsAgPGxXAVE5GiiQ73RM8wHBpPABq4KIjswrJDL2HeuBEWVdfDzUGFotyCpyyGiJoyLDQcArDvKVUHUfAwr5DLWHTX3qiT2DoOKQ0BEDml8X3NY2Xa6iBvEUbPxE51cgskkkNLwTW18wzc3InI8PcN8EBXshTqDifcKomZjWCGXcDCrFPnlenirlRjWPVjqcojoCmQyGYeCyG4MK+QSLB96o2NCoVbyXkBEjszS+7n5ZCFq6owSV0POgGGFnJ4QAmuPWFYBcQiIyNH11fpB6++BmnojtqYVSl0OOQGGFXJ6R3PKkVNaAw+VAiN6hEpdDhFdA4eCyF4MK+T0LBvBjeoVAg83DgEROQNLL+jGEwXQGzgURFfHsEJOTQhhXbLMjeCInMeNnQMQ6qNGhd6AnWeKpS6HHBzDCjm1U/kVOFtUBTelHKN6cQiIyFnI5TKM7WPuXUnhUBBdA8MKOTXLxNqE7iHwVislroaI7GHZIG7D8XwYjCaJqyFHxrBCTs0yOe+2vlwFRORsBkUGItDLDRer67HnbInU5ZADY1ghp3WmoBJp+ZVQKWQYHRMmdTlEZCelQo4xvc3/djkURFfDsEJO6+eGOyzfHB0MPw+VxNUQUUtYljD/fCwfJpOQuBpyVAwr5LTWN4QVyyQ9InI+N3ULho+7EoUVeqRmXpS6HHJQDCvklPLKanA4uwwyGXArh4CInJabUo7Ehn/DPzdsQ0B0OYYVckq/HM8HYN6rIcRHLXE1RHQ9xvQxh5UNJ/IhBIeCqDGGFXJK6xvCimVyHhE5r+HdQ+CmlON8cTXS8iulLoccEMMKOZ2ymnrsSjfveJnIsELk9LzUSgyPDgYAbDjOoSBqjGGFnM6WUwUwmASiQ73RNcRb6nKIqBVYvnhYek2JLtWisLJ8+XLExsZCp9MhPj4e27dvv2LbnJwcTJ48GZGRkdBqtZg9ezb0er1Nm6qqKjz55JOIiIiARqPBsGHDsGfPnpaURh0Ah4CIXM/omDDIZMBv2WXIK6uRuhxyMHaHlRUrVmDevHlYtWoVsrOzMXfuXCQlJSEjI6NR27q6OiQmJkKn0+HMmTM4duwYUlNTMXv2bJt2kydPRl5eHk6cOIHc3Fzce++9ePrpp2EycftlsqU3GLH1VCEAYAyXLBO5jBAfNW7sHADg9wn0RBZ2h5UFCxZgzpw5iImJAQBMmjQJCQkJWLp0aaO2X3/9NfLz87F48WIolUr4+/tjyZIlWLZsGYqKigAAGzduxLZt2/DRRx/B29vcpf/YY49h27ZtkMs5SkW2dqUXo1JvQKiPGv20flKXQ0StiENBdCV2pYHMzEykp6cjOTnZ5nhycjJSUlIatd+0aRPGjh0LNzc367EBAwYgKCgIGzduBAD8+OOPuOWWW+DnZ/uHR6FQ2FMadRCWD7HE3mGQy2USV0NErckytLs7oxjltfUSV0OOxK6wkpubCwDQaDQ2x7VaLXJycppsf3nby9ufOXMGPXv2xMKFCxETE4Po6Gg89NBD1p6Xpuj1epSXl9s8yPWZTMLaPcwhICLX0zXEG91CvFBvFNjSMNxLBNgZVlQq8/1XLh+ekcma/oarUqmaHMq5tL3RaMTHH38MX19fHD58GPv27UNFRQXGjx9/xTkrixcvhp+fn/URERFhz9sgJ3U4uxQFFXp4q5UY0jVQ6nKIqA1Yvohs4FAQXcKusKLT6QD83sNikZeXB61W22T7y9te3r5z586Ii4vDrFmz4ObmhoCAAPzzn//E/v37ceLEiSbrmDdvHsrKyqyPrKwse94GOSnLENDIniFQKzlMSOSKLPNWtpwsQJ2BiyzIzK6wEhYWhri4OKxdu9bm+IYNGzB+/PhG7ceNG4f169fDYDBYj508eRIFBQUYPXo0AGD48OGoq6tr8vXU6qa3UVer1fD19bV5kOuz3LiQQ0BEritO548QHzUq9AbsziiWuhxyEHYvt5k7dy7eeOMNpKWlAQBWr16NlJQUzJgxo1HbpKQkhIaGYv78+TAajSgrK8PMmTMxbdo0BAebdyucMmUK8vPz8dZbb8FgMKC6uhqzZs1CQkICunXrdp1vj1xFemEl0guroFLIMLJniNTlEFEbkctl1puTruduttTA7rAydepUzJ8/HxMmTIBGo8GiRYuwZs0aREdHIzs7GzqdDqtWrQIAKJVKrFu3DsePH0dERAT69OmDvn374p133rGeT6lUYv369fj111+h0WjQo0cPuLu749tvv73iXBjqeCzj10O6BsHXXSVxNUTUliw3NvzleAFMJt7YkABlS5706KOP4tFHH210XKfTITs7u9Gx1atXX/V8nTt3xnfffdeSUqiD4BAQUcdxU7cgeLkpcKG8FkdyytA/wl/qkkhi3HWNHF5RpR4Hs0oBALfGhEpbDBG1ObVSgZE9zf/WuSqIAIYVcgKbTxZACCBW64tOfh5Sl0NE7eD33Ww5b4UYVsgJbDpZAAC4pRdvXEjUUYzsGQKFXIa0/EpklVRLXQ5JjGGFHJreYMS2NPNOlhwCIuo4/D3dMKCL+caGm08VSFwNSY1hhRza3rMlqKozIsRHjVgNb1xI1JGM7mX+grLxBMNKR8ewQg7N8iF1S89Q3riQqIMZ3dCbuiu9GFV6wzVakytjWCGHJYTAxpPmlQCjOQRE1OF0C/FG50BP1BlN2H7myje3JdfHsEIO60xBJbJKauCmlGNY92CpyyGidiaTyXBLw1DQJg4FdWgMK+Swfmn4cLqpWxA83Vq0fyEROTlLr+qmU9zNtiNjWCGHtckyBNSLQ0BEHdXgKPNutoUVehzNLZO6HJIIwwo5pItVdUg9fxEAMIphhajDclPKkdDDfPNSrgrquBhWyCFtSSuASQC9wn2gC/CUuhwikpB13spJhpWOimGFHJLlGxRXARHRyJ6hkMmAIzllyC+vlbockgDDCjmceqMJWxt2rR0dwy32iTq6EB81+uv8AZjvFUYdD8MKOZx950pQUWtAkJeb9QOKiDo2y0T7XzhvpUNiWCGHYxkCGtUrFAruWktEAG5pGBLecaYItfVGiauh9sawQg7HMomOS5aJyKJ3J1+E+7qjpt6IXRnFUpdD7YxhhRxKemElzhZVQaWQcddaIrKSyWTW3hXuZtvxMKyQQ7FMnhscFQQfd5XE1RCRIxl9yRJmIbibbUfCsEIOZcsp8yqgkT1DJK6EiBzNTd2CoVbKkVNag5MXKqQuh9oRwwo5jCq9AXvPlgDgrrVE1JiHmwI3dQsC8PsXG+oYGFbIYexML0ad0YSIQA90DfaSuhwickAje5q/yGw5xXkrHQnDCjkMy4fPyB6hkMm4ZJmIGrMMEaeev4iK2nqJq6H2wrBCDkEIYe3WHdWL81WIqGldgrwQFewFg0lgx5kiqcuhdsKwQg4hvbASOaU1cFPKMbQrlywT0ZWNaLgLM+etdBwMK+QQNp80f+gMjgqEh5tC4mqIyJFZJuBvOVXIJcwdBMMKOYQtaQ1b7PfkKiAiurrBUYFwV8lxobwWp/K5hLkjYFghyV26ZJn7qxDRtbirFBja1byE2dIrS66NYYUkt+NMEeqNAp0DPRHFJctE1AxcwtyxMKyQ5LakNawC6hnCJctE1CxcwtyxMKyQpIQQ2GrdYp/zVYioebiEuWNhWCFJnS74fcnykIYxaCKi5uAS5o6DYYUkZRlvHto1iEuWicgulqEgLmF2fQwrJCneZZmIWmpI1yColVzC3BG0KKwsX74csbGx0Ol0iI+Px/bt26/YNicnB5MnT0ZkZCS0Wi1mz54NvV7fZFuDwYBBgwYhMjKyJWWRk6nUG7DvnGXJMuerEJF93FUKDOVdmDsEu8PKihUrMG/ePKxatQrZ2dmYO3cukpKSkJGR0ahtXV0dEhMTodPpcObMGRw7dgypqamYPXt2k+d+8cUXrxhkyPVYlixHBnHJMhG1zEjrvBUuYXZldoeVBQsWYM6cOYiJiQEATJo0CQkJCVi6dGmjtl9//TXy8/OxePFiKJVK+Pv7Y8mSJVi2bBmKimxnb2/btg0rVqzAwoULW/hWyNls4SogIrpOls+P/ee4hNmV2RVWMjMzkZ6ejuTkZJvjycnJSElJadR+06ZNGDt2LNzc3KzHBgwYgKCgIGzcuNF6rLS0FPfddx/effdd+Pr62vseyAkJIbCtYX+VEZyvQkQtFBnMJcwdgV1hJTc3FwCg0Whsjmu1WuTk5DTZ/vK2TbX/85//jDFjxuD2229vVh16vR7l5eU2D3IuGUVV5iXLCjmGRHHJMhG1HJcwuz67wopKpTI/SW77tCvtOqpSqRq1vbz98uXLsX//fixZsqTZdSxevBh+fn7WR0RERLOfS47h14ZelfioAC5ZJqLrYumd/fV0EZcwuyi7wopOpwPwew+LRV5eHrRabZPtL297afuMjAzMnj0bK1asgLe3d7PrmDdvHsrKyqyPrKwse94GOYBtp83dtQndOQRERNdncFQg3BRy5JTWIKOoSupyqA3YFVbCwsIQFxeHtWvX2hzfsGEDxo8f36j9uHHjsH79ehgMBuuxkydPoqCgAKNHj8a2bdtQWlqKm266CTKZDDKZDKNGjcL58+chk8nwwgsvNFmHWq2Gr6+vzYOch95gxK70YgDAcIYVIrpOnm5KDIwMAPB7ry25FrtXA82dOxdvvPEG0tLSAACrV69GSkoKZsyY0ahtUlISQkNDMX/+fBiNRpSVlWHmzJmYNm0agoOD8eCDD0IIYfPYvHkzunTpAiEEXn311et/h+RwUs9fRE29EcHeavQK95G6HCJyAQk9fh8KItdjd1iZOnUq5s+fjwkTJkCj0WDRokVYs2YNoqOjkZ2dDZ1Oh1WrVgEAlEol1q1bh+PHjyMiIgJ9+vRB37598c4777T6GyHn8at1CCgYcjnvskxE129492AAwK6MYtQZTBJXQ61N2ZInPfroo3j00UcbHdfpdMjOzm50bPXq1c0+98iRI3Hu3LmWlEVO4tfT5m7a4T2CJa6EiFxFTLgvgr3dUFRZh9TzF60725Jr4L2BqF0VVepxNMe81HxYNOerEFHrkMtlGBZt/gJk+UJEroNhhdqVZdOm3p18EeKjlrgaInIllgn7nLfiehhWqF1tSzN/iHAIiIham2XeytHcMhRX8j5zroRhhdqNEMLaPTuCS5aJqJWF+rqjV7gPhAB2NGyPQK6BYYXazan8ChRU6OGukmNAw54IREStydK7wv1WXAvDCrUby40Lh3QNglrJLfaJqPVZ9lvZdrqQW++7EIYVaje/cot9Impj8ZGBUCvlyC/X43RBpdTlUCthWKF2UVtvxJ6zJQCABE6uJaI24q5SYFBUIIDfe3PJ+TGsULvYc7YEdQYTOvm5o1tI829aSURkrwQuYXY5DCvULiyT3RK6h0Am4xb7RNR2LFsj7DlbjNp6o8TVUGtgWKF2sY1b7BNRO+kZ5oMQHzVq601IPX9R6nKoFTCsUJu7UFaLtPxKyGSwbodNRNRWZDKZdQnzNm697xIYVqjNWTaC66fzh7+nm8TVEFFHYJm3Ytk1m5wbwwq1ud+XLLNXhYjax7CGz5sTeeUoqKiVuBq6Xgwr1KaEENiZbg4rHAIiovYS7K1GH40vAGA7VwU5PYYValOn8itQVFkHD5UCN3TmFvtE1H4svSvbzzCsODuGFWpTlm80g6IC4abkrxsRtR9Lb+7OM8Xcet/J8a8HtamdDXc+vTk6SOJKiKijGdglEG4KOS6U1yKjqErqcug6MKxQm6k3mrA7wxJWOF+FiNqXh5sCA7qYh593cCjIqTGsUJs5lFWK6jojAr3cEBPuK3U5RNQBWXp1GVacG8MKtRnLh8PQbkGQy7nFPhG1P0uv7q70YhhNnLfirBhWqM1YwgqXLBORVPpq/eCjVqK81oCjOWVSl0MtxLBCbaJKb8DBzFIAwM3dGFaISBpKhRyDuzYMBaVzKMhZMaxQm9h7tgQGk0BEoAc6B3lKXQ4RdWDDGuat7DxTLHEl1FIMK9QmLENA7FUhIqlZ5q3sO1eC2nqjxNVQSzCsUJuw7BjJJctEJLXoUG+E+qihN5hw4PxFqcuhFmBYoVZXVKnHyQsVAICbunEzOCKSlkwms35x4rwV58SwQq3OsmttTCdfBHmrJa6GiOj3L07bOW/FKTGsUKvbcdqyZJm9KkTkGCw9K0eyS1FWUy9xNWQvhhVqVUII63yVmzhfhYgchMbfA12DvWASwJ4M9q44G4YValWZJdXIKa2BSiHDoMhAqcshIrK6ybKEOZ1hxdkwrFCr2tEwHnxDRAC81EqJqyEi+p1lN+3tvE+Q02FYoVa1g0uWichBDekaBJkMOFNQifzyWqnLITswrFCrMZkEdjYsCxzWnZNricix+Hu6IVbjBwDWzypyDi0KK8uXL0dsbCx0Oh3i4+Oxffv2K7bNycnB5MmTERkZCa1Wi9mzZ0Ov19u02bFjBxISEqDT6RAVFYVZs2ahqqqqJaWRhI7nleNidT283BTop/OXuhwiokYsvb7bT3PeijOxO6ysWLEC8+bNw6pVq5CdnY25c+ciKSkJGRkZjdrW1dUhMTEROp0OZ86cwbFjx5CamorZs2db25w8eRJJSUmYNWsWsrOzcfDgQRw5cgRPPfXUdb0xan+WbypDugZBpWCnHRE5nputk2yLIISQuBpqLrv/oixYsABz5sxBTEwMAGDSpElISEjA0qVLG7X9+uuvkZ+fj8WLF0OpVMLf3x9LlizBsmXLUFRk/sO2d+9eTJs2DXfffTcAwN/fH7Nnz8a33357Pe+LJGCZYT+Uu9YSkYOKjwyEm1KOvLJanC1iD76zsCusZGZmIj09HcnJyTbHk5OTkZKS0qj9pk2bMHbsWLi5uVmPDRgwAEFBQdi4cSMA4P7778eSJUtsnnfkyBH4+vraUxpJrN5owr6zJQAYVojIcbmrFBjQOQAAsINLmJ2GXWElNzcXAKDRaGyOa7Va5OTkNNn+8rZXaw8A//3vf7FgwQK8/PLLV6xDr9ejvLzc5kHSOpJThqo6I/w9VYgJZ9AkIsdl+UK1m2HFadgVVlQqlflJctunyWSyK7a/vO2V2tfU1GD69OmYNWsWVqxYgQcffPCKdSxevBh+fn7WR0REhB3vgtrCroZ/9IOjAiGXN/37QETkCKxhJaOY81achF1hRafTAfi9h8UiLy8PWq22yfaXt22qfXFxMYYPH468vDwcO3YMf/zjH69ax7x581BWVmZ9ZGVl2fM2qA3sbti+emhXDgERkWPrr/OHh0qB4qo6nC6olLocaga7wkpYWBji4uKwdu1am+MbNmzA+PHjG7UfN24c1q9fD4PBYD128uRJFBQUYPTo0QCA+vp6TJgwAcOGDcPatWubHDa6nFqthq+vr82DpFNnMGH/uYsAgKHduBkcETk2N6UcAyPN81Z2cSjIKdi9Gmju3Ll44403kJaWBgBYvXo1UlJSMGPGjEZtk5KSEBoaivnz58NoNKKsrAwzZ87EtGnTEBxs/qO2ZMkSeHp6YsmSJVccTiLHdji7FDX1RgR6uaFHmLfU5RARXdOQhl5ghhXnYPfNW6ZOnYry8nJMmDABlZWV0Ol0WLNmDaKjo5GdnY0hQ4ZgyZIlmDRpEpRKJdatW4fHH38cERERkMvlmDRpEl5//XXr+VJSUnDw4MEm552sWrUKQ4cOvb53SG3O8o99SNdABk4icgqWsLL7bDFMJsG5dg6uRXeae/TRR/Hoo482Oq7T6ZCdnd3o2OrVq694rs2bN7ekBHIglrDC+SpE5Cz66fzg6aZAaXU9TuVXIKYTpxM4Mm4zSteltt6I1EzLfBWGFSJyDiqFHPGRgQA4FOQMGFbouhzMLEWdwYQQHzW6hXC+ChE5D+u8lQyGFUfHsELXxbJk2XzrdY75EpHzsPQG78kohtHE/VYcGcMKXZdd3F+FiJxUrMYX3molymsNOJHHndAdGcMKtVhtvRGHMksBcL4KETkfpUKO+Ib9VnZzKMihMaxQi6Wev4g6ownhvu6IDPKUuhwiIrtZvmhxkq1jY1ihFrMuWe7G+SpE5JyGdjVvULr3bAkMRpPE1dCVMKxQi3G+ChE5u94aX/i4K1GhN+BYLuetOCqGFWqRKr0Bh7NKAXC+ChE5L4VchsFR5v1WOG/FcTGsUIvsP38RBpOA1t8DEYGcr0JEzov7rTg+hhVqkUvnqxAROTPL59i+syWo57wVh8SwQi3C+SpE5Cpiwn3h56FCVZ0RR3LKpC6HmsCwQnarqK3H0YZ/0EPYs0JETk5+ybwVLmF2TAwrZLd950pgNAl0DvSE1t9D6nKIiK6bZSiIk2wdE8MK2W1PRgkAYEjXQIkrISJqHZawsv/cRdQZOG/F0TCskN32nDWHlcFRHAIiItfQI9QHgV5uqKk34rfsUqnLocswrJBdqvQG6wS0wexZISIXIZfLMCjS/Jlm+UJGjoNhhexyIPMijA37q+gCuL8KEbkOyxcwhhXHw7BCdrHMV7HMnCcichWDGj7XUs/xPkGOhmGF7LK34RvHIIYVInIxvcJ94euuRFWdkfcJcjAMK9RstfVGHGq4H9BgbgZHRC5GIZchvmHeyl4OBTkUhhVqtkNZpagzmhDqo0ZkEOerEJHr4bwVx8SwQs1mma8yKCoQMplM4mqIiFrfoIYtGfadK4HJJCSuhiwYVqjZ9p4z7+zIISAiclWxGl94uilQVlOPU/kVUpdDDRhWqFnqDCaknr8IgCuBiMh1KRVyDOgSAADYw633HQbDCjXLkZxS1NabEOjlhu6h3lKXQ0TUZoY09B7vPcd5K46CYYWaxTLZLD4ygPNViMilWbZm2Hu2BEJw3oojYFihZvl9MzjOVyEi19ZP5we1Uo6iyjqkF1ZJXQ6BYYWawWD8fb4KN4MjIlenVipwQ2d/AMCes5y34ggYVuiajueVo1JvgI+7EjGdfKUuh4iozVmWMHNzOMfAsELXtNc6XyUQCjnnqxCR6xvS0Iu8J4PzVhwBwwpd027evJCIOpgbOgdApZDhQnktskpqpC6nw2NYoasymQT2NSzf42ZwRNRReLgp0E/nD4DzVhwBwwpd1an8CpTV1MPTTYE+Gs5XIaKOw7KggPcJkl6Lwsry5csRGxsLnU6H+Ph4bN++/Yptc3JyMHnyZERGRkKr1WL27NnQ6/U2bXbv3o3hw4ejc+fO6N69Oz744IOWlEVtwDJfZUCXAKgUzLZE1HEMjuIdmB2F3X99VqxYgXnz5mHVqlXIzs7G3LlzkZSUhIyMjEZt6+rqkJiYCJ1OhzNnzuDYsWNITU3F7NmzrW1OnjyJMWPG4KmnnkJmZiZWr16NF198EV9//fX1vTNqFZbuT85XIaKOZkCXAMhlQGZJNfLKOG9FSnaHlQULFmDOnDmIiYkBAEyaNAkJCQlYunRpo7Zff/018vPzsXjxYiiVSvj7+2PJkiVYtmwZioqKAABvvvkmRowYgbvvvhsA0Lt3bzzzzDN4/fXXr+d9USsQQli/UXC+ChF1ND7uKsRq/QCwd0VqSnsaZ2ZmIj09HcnJyTbHk5OTsWTJErz11ls2xzdt2oSxY8fCzc3NemzAgAEICgrCxo0bMXnyZGzatAnPPfdco/PNmTMH+fn5CAsLa1SHXq+3GUoqLy+3520027LtZ5F9sbpNzu0M8kprUVRZB7VSjn46P6nLISJqd4MiA/FbdhkW/XQCh7JKpS5HUtNvjkJEoKckr21XWMnNzQUAaDQam+NarRY5OTlNto+NjW10/NL2ubm5TZ4PMM93aSqsLF68GAsWLLCn9Bb56bdcXMxJR1eFOVFvreuKAaoceMv0uGjywAlDKG5yOw8ASDOEQA6BaKW5x2h7XST6Ki/AT16LcuGOw/WdMNztLAAg3RAEA+ToqSwEAOyq64KeykIEyqtRJdywr16HkW7mYbWzxkDUCBV6K/MBAHvrI9BVUYJgeRVqhQo767vgFrczAIBMoz/KhDv6Ki8AAPbX6xChKEOYvAL1QoFt9V1xi9sZyCCQY/RDkckL/VXm/08P1WsQKq+ERlEOI+TYUtcNCaoMjHYzIiRch9LiImzatAkAMGzYMBQUFCAtLQ0AMHXqVKxevRrV1dXQ6XTo3bs31q9fDwAYOnQoysrKcPz4cQDmnrh169ahoqIC4eHhuPHGG7F27VoAQHx8PGpra3HkyBEAwMSJE7FlyxZcvHgRwcHBGDp0KH788UcAwA033AAAOHjwIABzwN21axeKiooQEBCAkSNH4rvvvgMA9O3bF+7u7ti3bx8A4LbbbsOBAwdw4cIF+Pj4YNy4cVi1ahUAc8+en58fdu3aBQAYM2YMVLWleOBf6yBXKBAaFoYLDf8OPL284OamRulF8+9HYFAQqqurUVtTA5lcjrDwcOTn5UEIAQ9PT7i7u+NiibltQGAgamtrUVNdDchkCO/UCfkXLkCYTHD38ICnlxdKGnof/QMCUF9Xh6oq87bf4Z06obCgAEajEWp3d3j7+KC40Py75OfvD4PBgKrKSgBAWHgnFBcVwmAwwE2thq+vH4oKCwAAvn5+MAmByoawHxIWhoslJTDU10Pl5gb/gAAU5pt/73x8fSGDDOXlZea2oaEoKytFnb4OSqUKgcFBKLhg/r3z9vGBXKFAeWkpACA4JAQV5RXQ62uhUCoRHBKC/Lw8AICXtzeUKhXKLpp3SA4MDkZ1VSVqa2ohV8gRGhZuc73VarX1GgYGBaGmpgY11dWQyWQI69TJ5np7eHigpLjYer31ej2qLddQo0FB/gWYjCa4e7jD08vber39AgJgqK///Rp26oSiwkIYDQao1e7w8fVBUcP19vX3h8loRGVFBQAgNDwcJUXFMBjq4aZ2g5+fPwoLGq63rx8EBCouud6lFy+ivq4OSpUKAYGB1uvt7esLuUyG8rKyhmsYivLyMtTp9VAqlQgKDkH+hUuuoVKJsobrHRQSgsqKCuhra6FQKBASGooLluvt5QWVmxtKba53lc3v7IW8POCy31l/lQl5eRHIzMxERkYGlEolJk2ahG+//RZ1dXXo0qULunXr5pKfERFyNVRyN/TVH0XmvqM4ZwxAlXBDn4bP5H31EeiiuIhQeSX0Qont9VEY7XYaAJBl9Eep8EBfpfn6H6jXQqMoR/gln8kj3dKhgAm5Rl8UmLwR1/CZfLheg2B5FbSKMgjIsKkuGgmqDKhkRuSbfJBl9MNAVTYA4IghHH6yWnRWmH8HNtVF4ybVebjL6lFk8kKGMRCDVFkAgOOGMHjI6hHV8HdtS11XxKuy4SWrQ4nJE6cMIRja8HftlCEESpjQTVmMDGMgkvtrJAsrMmHHbjepqakYOHAgqqqq4On5e8Fr167FlClTGvVwJCcnIyYmBm+88YbN8UGDBmHKlCl4+umn4ePjg6+++gq33Xab9efV1dXw8vJCamoqbrzxxkZ1NNWzEhERgbKyMvj6tt6Klc/3nEduaccepwzxVmNyfGd4uCmkLoWISBL7zpVgy6kCqcuQ3D2Du0Dr79Gq5ywvL4efn981/37b1bOi0+kAmHtDoqOjrcfz8vKsvSGXt7f0xlzq0vZNtclr+BbQ1DkBQK1WQ61W21N6i9w7uEubvwYRETm2+MhAxEdykYGU7JpgGxYWhri4OGuXnMWGDRswfvz4Ru3HjRuH9evXw2AwWI+dPHkSBQUFGD16tLVNU+eLi4trcgiIiIiIOha7VwPNnTsXb7zxhnUscvXq1UhJScGMGTMatU1KSkJoaCjmz58Po9GIsrIyzJw5E9OmTUNwcDAA4PHHH8fGjRvxww8/AADS0tLw6quv4tlnn72e90VEREQuwq5hIMA8Uaq8vBwTJkxAZWUldDod1qxZg+joaGRnZ2PIkCFYsmQJJk2aBKVSiXXr1uHxxx9HREQE5HI5Jk2aZLMsOTo6GmvWrMHTTz+Nxx57DJ6ennjxxRcxZcqUVn2jRERE5JzsmmDrqJo7QYeIiIgcR3P/fnP/dCIiInJoDCtERETk0BhWiIiIyKExrBAREZFDY1ghIiIih8awQkRERA6NYYWIiIgcGsMKEREROTSGFSIiInJodm+374gsm/CWl5dLXAkRERE1l+Xv9rU203eJsFJRUQEAiIiIkLgSIiIisldFRQX8/Pyu+HOXuDeQyWRCbm4ufHx8IJPJWu285eXliIiIQFZWVoe951BHvwYd/f0DvAZ8/x37/QO8Bm35/oUQqKiogEajgVx+5ZkpLtGzIpfLodPp2uz8vr6+HfIX9FId/Rp09PcP8Brw/Xfs9w/wGrTV+79aj4oFJ9gSERGRQ2NYISIiIofGsHIVarUaL730EtRqtdSlSKajX4OO/v4BXgO+/479/gFeA0d4/y4xwZaIiIhcF3tWiIiIyKExrBAREZFDY1ghIiIih8aw0kzHjh3DbbfdBp1Oh86dO+P+++9HUVGR1GW1qeXLlyM2NhY6nQ7x8fHYvn271CW1q48//hixsbHQarXo1asX/v3vf0tdkmTOnz8Pf39/PPjgg1KX0q4yMjJwxx13oFOnTtBoNJg8eTLy8vKkLqvdVFZW4plnnkFUVBQiIiIQGxuL//znP1KX1SZMJhN2796Np59+GoGBgVi+fLnNz/V6PZ577jlER0dDo9Hg9ttvR05OjjTFtpFrXYO6ujrMnTsXkZGR0Gq1GDx4MLZu3doutTGsNENxcTFuueUWjB8/HllZWUhLS4PBYMDUqVOlLq3NrFixAvPmzcOqVauQnZ2NuXPnIikpCRkZGVKX1i5WrFiBl156CV999RVycnLw/fffY+HChfj888+lLq3dmUwm3HfffejSpYvUpbSrixcvYsSIERg2bBiys7ORkZEBtVqNf/7zn1KX1m7uu+8+HDx4EPv27UNWVhY+//xzLFiwAEuXLpW6tFb3ySef4Mknn4SnpycUCkWjn8+YMQO7du3C/v37kZmZiejoaIwfPx5Go1GCatvGta7BY489hkOHDiE1NRU5OTl47rnncNtttyE9Pb3tixN0TevXrxeTJ0+2Ofbbb78JAKK0tFSiqtpWt27dxJtvvmlzbMKECWL27NkSVdS+ZsyYIb744gubY08//bSYOHGiRBVJZ+HChSIpKUm89NJL4oEHHpC6nHbzwgsviISEBJtjBoNBomqk4e7uLlavXm1z7KmnnhLJyckSVdQ+unTpIj755BPrf58/f17I5XKxf/9+6zG9Xi+CgoIaXR9Xcfk10Ov1YtCgQeL8+fM27W688UbxzjvvtHk97FlphsTERKxcudLm2JEjR6BWq11y3X1mZibS09ORnJxsczw5ORkpKSkSVdW+3n333UY9Z0eOHOlwW23v3bsX77zzDt577z2pS2l3P/74IyZOnGhzrKlvm65swIAB+PHHH613xK2qqsKWLVswbNgwiStrX1u2bEFYWBgGDBhgPebm5oYxY8Z0mM9ENzc37NmzB507d7Yeq6iowLlz59rlc5FhpQV+/vlnPPbYY5g3bx7c3d2lLqfV5ebmAgA0Go3Nca1W63JjtM1RX1+PJ554Art27cKcOXOkLqfdVFZW4p577sHbb79t8wHVUZw5cwahoaGYPn06oqKi0K9fPyxatAgGg0Hq0trN119/jYKCAtxwww2YOXMmRowYgf/7v//DM888I3Vp7So3N7fR5yHQcT8TAaCgoABJSUkIDw/H5MmT2/z1OnxYKSwshE6nu+Lj73//u7Wt0WjE888/j7vuugsLFy7ESy+9JGHlbUelUgFAoztgtuYdrZ3F+fPnMXz4cGzcuBHbt29HbGys1CW1m5kzZ2LgwIG49957pS5FEkajES+99BLuueceZGRk4JtvvsGXX36JZ599VurS2k1hYSGKi4sxdOhQxMfHw8/PDz/99FOHmmQMmD8Tm7ojcEf8TASAzZs3Iy4uDv7+/ti2bRs8PDza/DVd4q7L1yMkJATZ2dnXbFdbW4uJEyeiuLgYBw4cQM+ePduhOmlY7mCdm5uL6Oho6/G8vDxotVqpymp3qampGD9+PO6//34sWrTIJYf8rmTVqlX45ZdfcOTIEalLkYxl1d+tt94KAOjRowfmz5+PmTNn4h//+IfE1bW98vJy3Hrrrfjwww9x5513AgAeeOABPPHEE7j33nuxefNmaQtsRzqdztrjfKmO9pkIAB999BHmzp2Lt956q11XB3b4npXm+tOf/gRvb29s377dpYMKAISFhSEuLg5r1661Ob5hwwaMHz9eoqra1/nz53Hbbbfh3XffxZtvvtmhggoA/PTTT8jJyUFgYCBkMhlkMhkWLFiATz/9FDKZDL/88ovUJba54cOHo66urtHxjvK7cPLkSRQVFWHkyJE2xxMTE7Fnzx5pipLILbfcgoKCAvz222/WY0ajEZs3b+4wn4kAsHr1arz00kvYvn17+29j0OZTeF3AV199JXr16iVqa2ulLqXdfPHFF0Kr1YpTp04JIYT4/vvvha+vrzh9+rTElbWP8ePHi5dfflnqMhxKR1sNdPr0aREWFiY2bNgghBAiMzNT9OnTR8yfP1/iytpHRUWFCA0NFU888YSoqqoSQghx7tw5MWTIEHHnnXdKXF3bunwljBBCPPLII2L06NGirKxMGAwG8eyzz4o+ffqI+vp6aYpsY5dfA8vvw5YtWySpp8MPAzVHSkoKsrOz0a1bt0Y/W7JkCSZNmiRBVW1r6tSpKC8vx4QJE1BZWQmdToc1a9bYDAu5spSUFKSmpuLDDz9s9LPmDBuS84uOjsZXX32FuXPn4p577oGPjw8efPBBzJs3T+rS2oW3tze2bt2Kl156CT169IDJZIKHhwcmTZqEF154Qery2t0///lPPPfcc+jduzeMRiMGDRqEdevWQansGH9GU1NTUVhY2OQctqFDh2LVqlVt+vq86zIRERE5NM5ZISIiIofGsEJEREQOjWGFiIiIHBrDChERETk0hhUiIiJyaAwrRERE5NAYVoiIiMihMawQERGRQ2NYISIiIofGsEJEREQOjWGFiIiIHBrDChERETm0/wfFE8VVmiDx7gAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 確率密度関数：f(x)=-3/500x^2 + 3/50x (0≦x≦10), f(x)=0 (other)\n",
    "\n",
    "# 【設定】確率密度関数f(x)の定義\n",
    "def def_f(x, **kwargs):\n",
    "    if x < 0:\n",
    "        fx = 0\n",
    "    elif x <= 10:\n",
    "        fx = -3/500*x**2 + 3/50*x\n",
    "    elif x > 10:\n",
    "        fx = 0\n",
    "    return fx \n",
    "\n",
    "# 【設定】関数f(x)の描画区間[x_min,x_max]\n",
    "x_min, x_max = -2, 12\n",
    "\n",
    "# 【設定】定積分の積分区間[a,b]\n",
    "a, b = 2, 8\n",
    "\n",
    "# 処理の実行\n",
    "integrate_result = f_plot(x_min, x_max, a, b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "-QurQGYZTzFv"
   },
   "source": [
    "- 正規分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "id": "6eUsvhZaTzFv"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 確率密度関数：f(x)=正規分布(平均=0, 標準偏差=3)\n",
    "\n",
    "# 【設定】確率密度関数f(x)の定義\n",
    "def def_f(x, **kwargs):\n",
    "    mu = 0      # 平均\n",
    "    stddev = 3  # 標準偏差\n",
    "    fx = norm.pdf(x, loc=mu, scale=stddev)\n",
    "    return fx \n",
    "\n",
    "# 【設定】関数f(x)の描画区間[x_min,x_max]\n",
    "x_min, x_max = -10, 10\n",
    "\n",
    "# 【設定】定積分の積分区間[a,b]\n",
    "a, b = -3, 3         # 1σ\n",
    "# a, b = -np.inf, np.inf  # -∞～∞：塗りつぶしがうまく動作しない\n",
    "\n",
    "# 処理の実行\n",
    "integrate_result = f_plot(x_min, x_max, a, b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "mFB9pv1zTzF0"
   },
   "source": [
    "### 関数の例"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "cJnwkmFdTzF0"
   },
   "source": [
    "関数 例1 三角関数  \n",
    "$\n",
    "f(x)=\\sin(2x)\n",
    "$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "id": "C5RSOBSPTzF0"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 関数：f(x)=sin(2x)\n",
    "\n",
    "# 【設定】関数f(x)の定義\n",
    "def def_f(x, **kwargs):\n",
    "    fx = np.sin(2*x)\n",
    "    return fx \n",
    "\n",
    "# 【設定】関数f(x)の描画区間[x_min,x_max]\n",
    "x_min, x_max = -5*np.pi, 5*np.pi\n",
    "\n",
    "# 【設定】定積分の積分区間[a,b]\n",
    "a, b = -2*np.pi, 1.5*np.pi\n",
    "\n",
    "# 処理の実行\n",
    "integrate_result = f_plot(x_min, x_max, a, b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Ncc18PekTzF0"
   },
   "source": [
    "- 関数 例2 三角関数  \n",
    "$\n",
    "f(x)=\\sin(0.01x^3)+0.1x\n",
    "$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "id": "9ShhicfpTzF0"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 関数：f(x)=sin(0.01x^3)+0.1x\n",
    "\n",
    "# 【設定】関数f(x)の定義\n",
    "def def_f(x, **kwargs):\n",
    "    fx = np.sin(0.01*x**3) + 0.1*x\n",
    "    return fx \n",
    "\n",
    "# 【設定】関数f(x)の描画区間[x_min,x_max]\n",
    "x_min, x_max = -5*np.pi, 5*np.pi\n",
    "\n",
    "# 【設定】定積分の積分区間[a,b]\n",
    "a, b = 2.6*np.pi, 5*np.pi\n",
    "\n",
    "# 処理の実行\n",
    "integrate_result = f_plot(x_min, x_max, a, b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Aw9RQ3HATzF0"
   },
   "source": [
    "- 関数 例3 多項式  \n",
    "$\n",
    "f(x)=x-\\cfrac{x^3}{5}+\\cfrac{x^5}{99}-\\cfrac{x^7}{7150}\n",
    "$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "id": "MbJjXW34TzF1"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 関数：f(x)= x - 1/5x^3 + 1/99x^5 - 1/7150x^7\n",
    "\n",
    "# 【設定】関数f(x)の定義\n",
    "def def_f(x, **kwargs):\n",
    "    fx = x - x**3/5 + x**5/99 - x**7/7150\n",
    "    return fx \n",
    "\n",
    "# 【設定】関数f(x)の描画区間[x_min,x_max]\n",
    "x_min, x_max = -6.7, 6.7\n",
    "\n",
    "# 【設定】定積分の積分区間[a,b]\n",
    "a, b = -2.8, 4.7\n",
    "\n",
    "# 処理の実行\n",
    "integrate_result = f_plot(x_min, x_max, a, b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "omnaSldPTzF1"
   },
   "source": [
    "- 関数 例4 xの分数（x=0の取り扱いに注意）  \n",
    "$\n",
    "f(x)=\n",
    "\\begin{cases}\n",
    "f(x)=\\cfrac{1}{100x} & (x\\neq0)\\\\\n",
    "0 &(x=0)\\\\\n",
    "\\end{cases}\n",
    "$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "id": "JEiTeNVBTzF1"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 関数：f(x)=1/(100x) (x≠0), f(x)=0 (x＝0)\n",
    "\n",
    "# 【設定】関数f(x)の定義\n",
    "def def_f(x, **kwargs):\n",
    "    if x == 0:\n",
    "        fx = 0\n",
    "    else:\n",
    "        fx = 1/(100*x)\n",
    "    return fx \n",
    "\n",
    "# 【設定】関数f(x)の描画区間[x_min,x_max]\n",
    "x_min, x_max = -0.1, 0.1\n",
    "\n",
    "# 【設定】定積分の積分区間[a,b]の下端aと上端b\n",
    "a, b = 0.01, 0.1\n",
    "\n",
    "# 処理の実行\n",
    "integrate_result = f_plot(x_min, x_max, a, b)"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
