{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# scikit-learnによるサポートベクトルマシン分類(SVC)とサポートベクトル回帰(SVR)\n", "\n", "
\n", " このページのオリジナルのipynbファイル\n", " トップページへ\n", "
\n", "\n", "## 前置き\n", "\n", "本講義では、説明変数$x$と目的変数$y$の関係の推定(回帰)問題を扱っている。\n", "\n", "これまでは、その関係を、\n", "\n", "$$\n", "y = \\sum_{i=1}^M w_i \\phi_i(x)\n", "$$\n", "\n", "のように、説明変数(*)の関数を$M$個用意して、その線形結合で目的変数を表すという形に持ち込むと、$M$個の重回帰と同じ形式で扱えること、それをベイズ的な考え方で扱うと、誤差分布に関する見通しが良くなることを学んだ。\n", "\n", "説明変数の関数の組$\\{\\phi_i (x)\\ | \\ i=1,\\cdots,M \\}$は、基底関数と呼ばれた。\n", "\n", "ここでは基底関数を選ばなくても、データ自体からもっともらしい推定値とその周りの分散が求められる方法(カーネル法)を紹介する。\n", "\n", "まずは、その代表的な例であるサポートベクトル回帰(SVR)を扱う。\n", "\n", "サポートベクトルの考え方はもともとは、回帰と並ぶ機械学習のもう一つの課題である「分類」(classification)の手法として考案されたものである。\n", "\n", "SVRの特徴(単純な回帰にくらべ進化した点)は以下の2点に要約できる。\n", "- カーネル法の一つである\n", "- 回帰問題の評価関数にSVCの考え方を応用\n", "\n", "回帰を扱う前に、分類の手法としての「サポートベクトルマシン」(SVM)について述べる。\n", "\n", "## サポートベクトルマシン概説\n", "\n", "\n", "別のノートで説明する。[こちら](http://toyoki-lab.ee.yamanashi.ac.jp/~toyoki/lectures/simulationMethods/svc_note.html)\n", "\n", "scikit-learn's user guide: https://scikit-learn.org/stable/modules/svm.html#svm\n", "\n", "\n", "\n", "## skitlearnにおけるサポートベクトルマシンの利用例\n", "\n", "[「Ipythonデータサイエンスクックブック 第2版」](https://www.oreilly.co.jp/books/9784873118543/)という書籍に載っている例でsvmの振る舞いをみてみよう。\n", "\n", "原文はgithubのサイトで公開されている。\n", "\n", "\n", "第8章「機械学習」レシピ8.5 https://ipython-books.github.io/85-using-support-vector-machines-for-classification-tasks/\n", "\n", "以下の英語の部分は、この書籍の原著からの引用である。\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 訓練データ (1)\n", "\n", "平面上に1か0の値を持つ点が分布している場合について、1と0の領域の境界線をみつける。(境界領域では両者が混在しているデータを扱う。)\n", "\n", "> 2. We generate 2D points and assign a binary label according to a linear operation on the coordinates.\n", "\n", "$x + y >1$のときtrue, それ以外はfalseになる$200\\times 200$の2次元データyを作る。 [スクリプトに関するコメント](comments_python_scripts.html#numpy1)\n", "\n", "2つの説明変数$x$, $y$に対して、目的変数$z$が対応すると考える。下図では面に$(x,y)$の値を、面に垂直方向に$z$があると想像してほしい。$z$の値は今の場合はTrueあるいはFalseであり、図では濃い青と薄い青で示している。\n", "\n", "プログラム内では、Xが平面内の位置データ(2次元配列)、yはtrue/falseのどちらかを取る。\n", "\n", "境界線は$y = -x + 1 $とした。" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# サンプルデータの作製\n", "\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "# 平面上で適当に200個の点を選ぶ 座標値(x,y)の200個の組 X[200,2]\n", "X = np.random.randn(200, 2)\n", "# ターゲットt[x[i],y[i]]の値を x[i]+ y[i] > 1 のときtrue, それ以外 false => それデータとしてtrue or falseの境界をsvcで見つける\n", "# 右辺の評価式がtrueかfalseかを配列としてyに与える (ここでは200個の一次元は配列)\n", "y = X[:, 0] + X[:, 1] > 1\n", "\n", "# 位置をランダムに動かす: 練習として試してみよう\n", "noise = (np.random.rand(200,2)-0.5)*1.0\n", "X = X + noise\n", "\n", "# We display the points with their true labels.\n", "fig, ax = plt.subplots(1, 1, figsize=(5, 5))\n", "cmap = plt.cm.PiYG # Blues\n", "ax.scatter(X[:, 0], X[:, 1],\n", " s=50, c=.5 + .5 * y, # c, edgecolorは色指定, cmapは色調の指定\n", " edgecolors='k',\n", " lw=1, cmap=cmap,\n", " vmin=0, vmax=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### サポートベクトル識別 (1) 線形\n", "\n", "> 3. We now fit a linear **Support Vector Classifier** (SVC). This classifier tries to separate the two groups of points with a linear boundary (a line here, more generally a hyperplane).\n", "\n", " - 線形識別機の用意 (LinearSVC関数の利用)\n", " - データ(X,y)によりトレーニング(fit関数)\n", " \n", " 原著では、svm.LinearSVCが用いられているが、ここでは、サポートベクトルのデータ点を明示できるsvm.SVC(kernel='linear')を用いてみる。" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "import sklearn.svm as svm\n", "# We train the classifier.\n", "#est = svm.LinearSVC()\n", "est = svm.SVC(kernel='linear')\n", "est.fit(X, y); # サポートベクトルマシーンに学習させる" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "識別実行のための関数定義\n", "\n", "> 4. We define a function that displays the boundaries and decision function of a trained classifier.\n", "\n", " - 2次元面のメッシュ (xx, yy) を作成し、メッシュ上のすべての点について境界のどちらかを判定 (decision_function)\n", " - 返り値をZ (「高さ」)に代入\n", " - Zの値をグラデーションで表示 (imshow関数の部分)\n", " - 境界 (Z(x,y)=0)の線を引く" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "# We generate a grid in the square [-3,3 ]^2.\n", "xx, yy = np.meshgrid(np.linspace(-3, 3, 500),\n", " np.linspace(-3, 3, 500))\n", "\n", "# This function takes a SVM estimator as input.\n", "\n", "def plot_decision_function(est, title):\n", " # evaluate the decision function on the grid.\n", " Z = est.decision_function(np.c_[xx.ravel(),\n", " yy.ravel()])\n", " Z = Z.reshape(xx.shape)\n", " cmap = plt.cm.PiYG # Blues\n", "\n", " # We display the decision function on the grid.\n", " fig, ax = plt.subplots(1, 1, figsize=(6, 6))\n", " ax.imshow(Z,\n", " extent=(xx.min(), xx.max(),\n", " yy.min(), yy.max()),\n", " aspect='auto',\n", " origin='lower',\n", " cmap=cmap)\n", "\n", " # We display the boundaries.\n", " ax.contour(xx, yy, Z, levels=[0],\n", " linewidths=2,\n", " colors='k')\n", "\n", " # We display the points with their true labels.\n", " ax.scatter(X[:, 0], X[:, 1],\n", " s=50, c=.5 + .5 * y,\n", " edgecolors='k',\n", " lw=1, cmap=cmap,\n", " vmin=0, vmax=1)\n", " ax.axhline(0, color='k', ls='--')\n", " ax.axvline(0, color='k', ls='--')\n", " ax.axis([-3, 3, -3, 3])\n", " ax.set_axis_off()\n", " ax.set_title(title)\n", " ax.scatter(est.support_vectors_[:,0], est.support_vectors_[:,1],\n", " facecolors='none', edgecolors='r',s=30)\n", " # 注:\"support_vectors_\"にサポートベクトルに該当するデータが入っている" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> 5. Let's take a look at the classification results with the linear SVC.\n", "\n", "識別の実行と図示" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeQAAAH2CAYAAAChsP9pAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjYuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8o6BhiAAAACXBIWXMAAA9hAAAPYQGoP6dpAAEAAElEQVR4nOydZXQUZxeAn9nNRgmB4O5WtAqlghV3d3cp0I8KbSltqVGhhru1lALFtbRIKQWKlbYUJ7gnEOLZ7M73Y0myM7M7EmLA3HM4J7NX3juTMM++dl9BFEURU0wxxRRTTDElS8WS1QmYYooppphiiikmkE0xxRRTTDElW4gJZFNMMcUUU0zJBmIC2RRTTDHFFFOygZhANsUUU0wxxZRsICaQTTHFFFNMMSUbiAlkU0wxxRRTTMkGYgLZFFNMMcUUU7KBmEA2xRRTTDHFlGwgJpAfUlmwYAGCIHDgwAGvNufOnUMQBBYsWJB5iaVR3nvvPQRByOo0HiipW7cuVapU0WUrCALvvfdehuaT/Dd57ty5lM/69OlDyZIlM7TdjBS73c7MmTN5+umnCQ0NJTAwkBIlStC6dWtWrVoFwDfffIMgCGzevNlrnNmzZyMIAitXrkz5zOl0snjxYl566SXy5s2LzWYjf/78tGjRgnXr1uF0OjP8/kzJXDGB/AhLoUKF2LNnD82bN8/qVEx5ROWdd95JAdeDKD179uTll1+mXr16fPfdd6xbt45x48bh4+PDli1bAOjRowd+fn7MmzfPa5z58+eTL18+WrZsCUB8fDzNmjWjd+/e5M+fn+nTp7Nt2zZmzJhB4cKF6dixI+vWrcuUezQl88QnqxMwJevEz8+PWrVqZXUaqhIbG0tgYGBWp5EtJC4ujoCAgKxOI12lTJkyWZ2CqoiiSHx8vMfnHhYWxo8//sj48eN5//33Uz5v0KABAwcOTOnB5smTh9atW7N69WrCw8PJkyePJM7x48fZs2cPY8aMwWazAfC///2PLVu2sHDhQnr16iWxb9euHa+99hpxcXHpfbumZLGYPeRHWDwNWScPDR89epSuXbsSEhJCgQIF6NevH5GRkRJ/URSZNm0aNWrUICAggNy5c9OhQwfOnj0rsdu6dSutW7emaNGi+Pv7U7ZsWQYPHsytW7ckdsltHzp0iA4dOpA7d26vL+z+/fsTGhpKbGysQle/fn0qV66seu+HDx+mRYsW5M+fHz8/PwoXLkzz5s25dOmS4ftLHhretWsXtWrVIiAggCJFivDOO+/gcDgktu+//z41a9YkNDSUnDlz8sQTTzB37lzkZ7yULFmSFi1asHLlSh5//HH8/f1TXvpTp07lxRdfJH/+/AQFBVG1alU+++wz7Ha7x3vVk5cnuXbtGoMHD6Zo0aL4+vpSqlQp3n//fZKSkjR99YqnIWtBEBgxYgSLFy+mUqVKBAYGUr16ddavX6/wP3XqFN26dUv5PVaqVImpU6dKbOLj4xkzZgw1atQgJCSE0NBQnn32WdasWaOIl9z2jBkzqFSpEn5+fixcuNBj7uHh4YBrpMmTWCypr9f+/fuTmJjIkiVLFHbz588HoF+/foDruc+ZM4fGjRsrYJws5cqVo1q1ah51pjy4YvaQTfEo7du3p3PnzvTv359//vmHN998E0Ay7DZ48GAWLFjAyJEj+fTTT4mIiGDChAnUrl2bI0eOUKBAAQDOnDnDs88+y4ABAwgJCeHcuXN8+eWXPP/88/zzzz8pvYJkadeuHV26dGHIkCHExMR4zG/UqFHMmzePJUuWMGDAgJTP//vvP7Zv3654KbtLTEwMDRs2pFSpUkydOpUCBQpw7do1tm/fTlRUlOH7A9dLtEuXLowdO5YJEyawYcMGPvzwQ27fvs2UKVNS7M6dO8fgwYMpXrw4AHv37uXll1/m8uXLjB8/XpLnoUOHOHbsGOPGjaNUqVIEBQWlPM9u3bpRqlQpfH19OXLkCB999BHHjx9XDIvqzUsu165d45lnnsFisTB+/HjKlCnDnj17+PDDDzl37lwKRDJKNmzYwP79+5kwYQI5cuTgs88+o23btpw4cYLSpUsDrt917dq1KV68OJMmTaJgwYJs2bKFkSNHcuvWLd59910AEhISiIiI4NVXX6VIkSIkJibyyy+/0K5dO+bPn6+A3urVq9m1axfjx4+nYMGC5M+f32OOlSpVIleuXLz//vtYLBYaNWrkdT78pZdeokSJEsybN4+XX3455XOHw8HixYupVasWjz32GADbt2/HbrfTpk2b+3yKpjxwIpryUMr8+fNFQNy/f79Xm7CwMBEQ58+fn/LZu+++KwLiZ599JrEdNmyY6O/vLzqdTlEURXHPnj0iIE6aNElid/HiRTEgIEB8/fXXPbbpdDpFu90unj9/XgTENWvWKNoeP368wi9Z5y516tQRa9SoIfls6NChYs6cOcWoqCiv933gwAEREFevXu3Vxsj91alTR3EvoiiKAwcOFC0Wi3j+/HmPbTgcDtFut4sTJkwQ8+TJk/JsRVEUS5QoIVqtVvHEiRNec3SPsWjRItFqtYoRERFpygsQ33333ZTrwYMHizly5FDk/sUXX4iAePToUdW8PEny32RYWFjKZ7179xZLlCghsQPEAgUKiHfv3k357Nq1a6LFYhE/+eSTlM8aN24sFi1aVIyMjJT4jxgxQvT395c8C3dJSkoS7Xa72L9/f/Hxxx9XtB0SEuLVVy4bNmwQ8+bNKwIiIObJk0fs2LGjuHbtWoVt8t/woUOHUj5bt26dCIizZ89O+WzixIkiIG7evFlXDqY8PGIOWZviUVq1aiW5rlatGvHx8dy4cQOA9evXIwgCPXr0ICkpKeVfwYIFqV69Ojt27EjxvXHjBkOGDKFYsWL4+Phgs9koUaIEAMeOHVO03b59e105jho1ir/++ovdu3cDcPfuXRYvXkzv3r3JkSOHV7+yZcuSO3du3njjDWbMmMF///2nsDFyfwDBwcGKZ9atWzecTie//fZbymfbtm3jpZdeIiQkBKvVis1mY/z48YSHh6c822SpVq0a5cuXV+R2+PBhWrVqRZ48eVJi9OrVC4fDwcmTJ9OUl6f7r1evHoULF5bcf9OmTQHYuXOnV9/0kHr16hEcHJxyXaBAAfLnz8/58+cB1zD0r7/+Stu2bQkMDJTk2KxZM+Lj49m7d2+K//Lly3nuuefIkSNHyt/g3LlzPf791a9fn9y5c+vKs1mzZly4cIFVq1bx6quvUrlyZVavXk2rVq0YMWKExLZv375YLBbJKMb8+fMJCgqic+fOhp6PKQ+nmEA2xaPIF574+fkBpCwkuX79OqIoUqBAAWw2m+Tf3r17U+aHnU4njRo1YuXKlbz++uv8+uuv/PnnnykvS08LU7zNycmldevWlCxZMmV4esGCBcTExDB8+HBVv5CQEHbu3EmNGjV46623qFy5MoULF+bdd99NmYfVe3/J4j58nSwFCxYEUuca//zzTxo1agS4trns3r2b/fv38/bbb3t8Fp6ew4ULF3jhhRe4fPky33zzDbt27WL//v0pz0AeQ09enuT69eusW7dOce/Jc/Py+09vkf/9getvMPn+wsPDSUpKYvLkyYocmzVrJslx5cqVdOrUiSJFivDdd9+xZ88e9u/fT79+/YiPj1e0o/fvL1kCAgJo06YNn3/+OTt37uT06dM89thjTJ06laNHj6bYlShRggYNGrBkyRISEhK4desW69evp2PHjpIvH8nTGWFhYYbyMOXBF3MO2ZQ0Sd68eREEgV27dqXA2l2SP/v33385cuQICxYsoHfv3in606dPe42td7+xxWJh+PDhvPXWW0yaNIlp06bRoEEDKlSooOlbtWpVli5diiiK/P333yxYsIAJEyYQEBDA2LFjdd9fsly/fl1hc+3aNSAVLkuXLsVms7F+/Xr8/f1T7FavXu0xR0/PYfXq1cTExLBy5cqUUQaAv/76y2MMPXl5krx581KtWjU++ugjj/rChQt79c0MyZ07N1arlZ49e3r9AlaqVCkAvvvuO0qVKsWPP/4oeaYJCQke/e53v3vx4sUZNGgQo0eP5ujRo5IFhv3792fr1q2sWbOGK1eukJiYSP/+/SX+9erVw2azsXr1aoYMGXJfuZjyYIkJZFPSJC1atGDixIlcvnyZTp06ebVLfrnJATZz5sx0yWPAgAG89957dO/enRMnTvDpp58a8hcEgerVq/PVV1+xYMECDh06BOi/v2SJiopi7dq1kuHhJUuWYLFYePHFF1Pa8vHxwWq1ptjExcWxePFiQ/mC9HmKosjs2bPTnJcnadGiBRs3bqRMmTK6h28zUwIDA6lXrx6HDx+mWrVq+Pr6erUVBAFfX18JaK9du+ZxlbURiYqKQhAEj9MjyUPh8i8ubdq0IU+ePMybN4+rV69Svnx5nn/+eYlNwYIFGTBgANOnT2fRokUeV1qfOXOGmJgYc6X1QyYmkB9y2bZtm6QyUrIkD+ulVZ577jkGDRpE3759OXDgAC+++CJBQUFcvXqV33//napVqzJ06FAqVqxImTJlGDt2LKIoEhoayrp169i6det9tZ8suXLlolevXkyfPp0SJUqkFFZQk/Xr1zNt2jTatGlD6dKlEUWRlStXcufOHRo2bGjo/pIlT548DB06lAsXLlC+fHk2btzI7NmzGTp0aMoQZPPmzfnyyy/p1q0bgwYNIjw8nC+++MJjD9ybNGzYEF9fX7p27crrr79OfHw806dP5/bt2x7t9eTlSSZMmMDWrVupXbs2I0eOpEKFCsTHx3Pu3Dk2btzIjBkzKFq0KODaurRw4ULCwsIyterWN998w/PPP88LL7zA0KFDKVmyJFFRUZw+fZp169axbds2gJTtY8OGDaNDhw5cvHiRDz74gEKFCnHq1Kk0t3/ixAkaN25Mly5dqFOnDoUKFeL27dts2LCBWbNmUbduXWrXri3x8fPzo3v37kyePBlRFJk4caLH2F9++SVnz56lT58+bNmyhbZt21KgQAFu3brF1q1bmT9/PkuXLjWB/LBJFi4oMyUDJXlFq7d/YWFhqqusb9686TGe+wpZURTFefPmiTVr1hSDgoLEgIAAsUyZMmKvXr3EAwcOpNj8999/YsOGDcXg4GAxd+7cYseOHcULFy4oVvZ6a9td50l27NghAuLEiRN1PZvjx4+LXbt2FcuUKSMGBASIISEh4jPPPCMuWLBAYavn/urUqSNWrlxZ3LFjh/jUU0+Jfn5+YqFChcS33npLtNvtingVKlQQ/fz8xNKlS4uffPKJOHfuXMWzLVGihNi8eXOP+a9bt06sXr266O/vLxYpUkR87bXXxE2bNomAuH379jTlJf9diKIo3rx5Uxw5cqRYqlQp0WaziaGhoeKTTz4pvv3222J0dHSKXfv27cWAgADx9u3bqs/dyCrr4cOHK/xLlCgh9u7dW/JZWFiY2K9fP7FIkSKizWYT8+XLJ9auXVv88MMPJXYTJ04US5YsKfr5+YmVKlUSZ8+e7fFvylvbnuT27dvihx9+KNavX18sUqSI6OvrKwYFBYk1atQQP/zwQzE2Ntaj35EjR0RAtFqt4pUrV7zGT0pKEhcuXCjWr19fDA0NFX18fMR8+fKJTZs2FZcsWSI6HA5deZry4IggirKKBKaY8oDJmDFjmD59OhcvXlSdF80oqVu3Lrdu3eLff//N9LazgxQsWJCePXvy+eefZ3UqppjyQIs5ZG3KAyt79+7l5MmTTJs2jcGDB2cJjB91OXr0KLGxsbzxxhtZnYoppjzwYvaQTXlgRRAEAgMDadasGfPnz1fde5yR8qj3kE0xxZT0ERPIpphiiimmmJINxCwMYooppphiiinZQEwgm2KKKaaYYko2EBPIpphiiimmmJINxASyKaaYYooppmQD0b3tKS4u9VxaEek6MBGn5Mq7Tu6rppP7GrEF3NaqpV8Oabu3qV/N44NxXwIw/JW+vP3BKyCIEk93cYoOr9dqOlerqdeilq1aXKTXouj0bqviK9ep5ZT8c0K8nd1bj3D5/A18/X146sVKlCpfWGLrno/mvWHgOTjlOlk7bnqHIo53W0WbTqmtQzUH776KHCRtqj8jh4H83PUOA89I7qu0lV+LbraiV1t3O8+2bnEU96JmK4+rkp9mDk4VnUoOKm0qbb23KbeVr991yl+ZTned6FXnatddZySuTKeSk6JNlZxkKtWcNOOK7rq0x5Uvlz4++wpaYmAfsoVkyAgIEvgIWNzgJIBXndw3NaZ2XCO2Ukm/HNJ2b37+qaURp341n8REO+9/+roblKVxLYJV8hJzv1bTuVq1pgBIEKwSABqK6xbHFcuSAkEjOch1ajkJWFg2Zytzv1xL1J1YbAFWHHYRZ5KTGs+W480ve1GweKgiH817k92Lqq3FKgGKRbBIXpDueqtglQBRzVbRpsUieXm6x1Lm4N3XKlhJTLTz26oTALzYtgKCVUzJB1Jf8PI4Vos1Ba5a+bnr3f207lsuSltZOxYh5QVpEQQJcNxt3e0827rFUdyLmq08rjxfNVuVfFXaVN639zaNPCO5rSAIEgBaLFKgCJZUqMjbdNe52k2FoGARJKBSjyvTqeSkaFMlJ/d8tHLSjCukwlR5L/rjusfRK7q3PaUe65baomYv1U2fJT1lUT0/ua/+ezPeU140dxmvj5yQ8mnvgZ35+Mu3ECxST0k2j1hPec4Xq5k7aS0hFQIIrZoD31w+iA6RqHPxRByKIcDmx6wNYylQNLdbHLOnnBBnZ/hzCwH49vce+AXYVPPPip6y8lmnT09Z29bsKcttzZ6yzrjp3FPW00NOwxxyqouA9JgyQRFO8KqT+qrp5L4GbAXB9U9XDtLY6jkIGL23Xv078eW0CSknziyc/SOvvTxB9suTtmkRrF6v1XSuVlOvBS1btbhIrwW3bxBGcpDr5DldOH2duZPWkvfJHBR8IRe+uVyDN4JVIGeZAIq2yE1cYgJT3l8hiSVIv9Go3xsGnoNFrpO146a3KuJ4t1W0aZHaWlVzUPf11qY8J3kcqyw/6XPw/nytBp6RIq7CVn4tuNkK92HrprNYJL7qtvL/iyptKmy956vWpiKuSptKW/3PSH68pPzPyL1ZeZuylHBXC4r81OLKdCo5KdpUyUmmUs1JM67grkt7XCOneaZxUVdGQVlvXCO2ZBCUXZ/oi+vKt1vvdkye/XHKf5YlC35i9OB3cDpEiackm0cEyj8t3IYt0Ifc1TxX2/IJsBJSJYDfNx/h5tXbJpS9+HprU56TGpTlei0oS4Hu/b4VcbMAynJfLSjrBaQJ5WSdCWVPcfVCWTeQlfEyAlxG4z5IUHbF7dC1JdMXfJZyJu7yJWsZ0e9NHElOiad73AcBynp9vUH54B/HCCxqw2L1/pcbXMofp1Pk34NnFbFMKHvJIROgLPd9mKCsjJv9oeweWwvKgsRWYmpCOSUnlXwNxNUjhlxMKHvLwVjc1u2bMPu7SdhsrmHZ1Ss2MaT369gT5Qth9ENZLxAFwSoBs6G4KlD25OstB3lcQbDiSHIg+Kh/jRTuwdr9y4sJZaWYUPZmmzlQ1puvEp7qbUp+byq28nbVnhFgCMoSoJtQNhxXSwwz3ISytxyMxW3W6iXmLf0GX18bABtWb2Vg9/+RmJDkNa5mb9hQD9dALzsDoCzXl61YnIRrSYrFHe4SeyURgNLli3qNk12gbFUFjsqXHhPKntt5gKBsOF+dUJa3mxVQlvtqQVmw6IubkVDW+0VBsGiMCsigLPVNHyinoVNtQtl7DsbiNmxSh0XLp+B/b1vUzxt30KfTSOLjEr3GfVih3K53A+IiEom+kIAnEZ0id/6J5bHHS1L2saKqMBUEi+55bgtW1SH1tEIZ0A1lZTvqUNbbyzah7M3WhLIn24yAskuvH8oSkGlAOXOG1L1DWZnT/UNZP5BFJLtyTCh7y8FY3LovPcd3K6cTEBgAwI5fdtO7wwjiYuK9xn0Yofzkc5Wo3aA613dGEnkqVrKtwB7t4Oq2O8TfsjN8XCfVON5yup/FZ3IoWwwAJyOgLPf19fVl1LdNGPVtE3xsVgWU1XvZJpTlviaUk3VIdZkAZbk+eyw+Sx8o6xHd+5DjY+NSL9zaVDp735Ob9n3K0rja+58N2Oqu6GU0B2Nx9+4+SPd2Q4mJjgWg1vNPsnjFVIKCA7zG1dwHbGh/sYE9zip7e9X2BWvlEBsTy/jh09mx8QC+OXzwzWPFmQhx1xIICPLnvamDeKFRDc0clHue02fvtHKPrloFKtleX9VqVWr7ob3vU1bmcD97nPXtU9bKT32Ps4H7NrBP2WWvst9Y5z5luW+W7RmW3ItGDu6/N01bfc8IpPuC1fYTy33V9im79Ebies5Hyzfj9k5736esyNdD3P9maO9DThuQwYSyrhyMxT345xG6tB5M1N1oAJ6qWZ3vV00nOCTIa9yHDcpO0cHJf8+z5vsdXD5/HV9/X2rVrULjds/iH2jTnYMJZW1fzeInqkVAsheU06t4iNzXhHKyDqnOhPK9nFTyldn+Oy09gRwTpxynNqGc7lA+cvgonVsO5M7tuwDUeLIKP6yZQUjuYK9xH0Yoe8rHaA6PCpST7A52rz8OwLPNymGRFcQ1oazH1oSyJ1sTyjri6oSyHiAbG+GW88PtWm1O2aX3Prcqn3cVVOZsH/Y55eqPV2bFhnmE5s0NwF8H/6Vj84FE3Ir0GvdhnFP2lI/RHDJjThmkc6JZMafssDuZO347c8dvx2F3qi70UuSgtVDNzdacU/Zma84py33NOWXPcbXE4JQzmQJluf5Rg3KV6hX5aeM88uYLBeDfI8fo2Kw/4Tdue41rQlk7jjynhwnKcskqKEtBZkJZ29aEsr64nvPR8n3QoGwcyJAtoawe98GDcqXK5Vi1ZQEFCuYD4NjRU7Rr2o8bV8O9xjWhrB1HntPDBuX0KzySNijL29GCshQi2R/KRgp5qMc1oezSm1CW+OiyAuVAeTaDsnZcAwDPJChr3Vu5CqVZtWUBhYsUAODU8bO0a9KXK5dueI1rQlk7jjynBx3K6jlkbyjL28kqKKtDL22ANFJdy4Sy3rie89HyzQ5Q1iPGzB8iKGvayqCcfr11Y/dWumwJVv28kGIligBw9vR52jXuw6UL17zGtQgapTRNKCtyetChLJeHGcpSWyOg1ei1ZgCUk3PWY6uZrwllhf5hg7LxIetHFMrpm4OxuCVKFmXVlgWULF0MgAvnLtO2UR/On72sGtcIlNVhmv2grLset0YlLhPKHnLI5lBW2hoBbfaGsma+sjYlQM8iKOsta6morqUBZfW4nvOR6+S+2R3KuoEsuIPXhHI65GAsbtFihVi1ZQFly5cC4PLFq7Rr3Iezpy6oxtULZYWtBpR1w14GRC0oG+vhGrg3A1DW+0UhO0L5URm+Vto+mlCW+2q1qW4rbVPye1OBskvvplOBslyvBmXtuNJ8sv7kKnUo6xHd+5ATolwVpET3RuQtyhOQXct2esl0+vYpy/Vqe4S14xqwFTMqB2Nxb16/RYfmAzhx7DQA+QvkZdmGOZSvVEo1ruo+YEP7iw3scVbZ26u2T1krB+X+4rTloLZPWZGDgb3Tmb1P2ZHk5M+tpwB4qkEZrD4W1eIhinwNFR5J2z5leTva1cDc99Vq/b2626ZPRS+lbTbcM6yyP1qtTW1blT3ZKvuUXXo3nco+ZblebZ+ydlyZbwbsnU6PfcpHvpWPaCrFMJAhc6DsunZKrrzpHjUo37oZQeeWAzn6zwkA8uQNZdn6WVSqWk41rgllZaysgLJL7x04mVHR6358TSh78TWhfE/vpnuIoCzPySiU9QDZ+BwyaR++BsWAqkznfRjXHL5OjZs3XygrNs6j2uOPARB+K4IOzfrzz+HjqnEzYvjacFydw9daOWTG8LUiBwPz3GpDxy6996FZ+fC17gVPBrZE3Y+v1vC1VecwuTl8rdc2/YevtW2932t2H76W55QVi8/k0wN6h6/TBGTInlCW+j7cUM4dGsLy9XN48pnqANyOiKRj8wH8deCoalwTyspY2R3KWraiQ2Dv5pPs3XxS8Q0/K6AM8v3GJpQ9xzWhLNc/TFCWx9UjaQYy3B+U1dJIK5SVvg83lENy5eTHtbOoWfsJAO5GRtGpxUD27zmiGteEsjLWgwxle2IS3/xvA9/8bwP2RIfhnrJUlzVQVl8kZkJZM18TygqdPKcHAcr3BWRIO5SVKZpQTv7ESNwcwUEsWT2D5158BoDoqBi6th7Mnl0HVeOaUFbGepChLBf5Ktn0quil9E0fKMv1JpTTkK8JZYVOnlN2h7J+IKus/cosKMtalV2lHcpS3wcPykFBgXy3chp1G9QGIDYmju5th/Hbr3tV45pQVsZ60KGsVs0qPaGs2mYmQVk1fxPKCl8Tyl50mQRlPWLMxQiU3W2zYJ+y3FcL9kagLLHNJlAOCPBnwbLJvNTkRQDi4+Lp3fFltm3ZrRrXhLIy1oMPZe/Q04Ky3jllJRAzH8qe8vdma0JZu01tWxPKWjndL5SNM1wvlOW2GlCWPWZpXNUebeZDWWGbTaDs7+/HvB++oWnL+gAkJCTSr8soft6wUzWuCWVlrAcNynJJK5QV+Wbz4WtlDupQVoOICWU9tiaUtXK6HyinoVNNhkAZ9EPZdf1gQTnt89rGoOzra2PW4km0bNcYgMREOwO6/Y8Nq35RjSuHhl6YKitxmVDWysmEsnZ+cn16QVnezv1Uq8osKKe5upYGlCXXJpQ1c8oMKOsHshpoZWJC+f5yMDIK4An2NpuN6fM/pX3n5gAkJSUxpPfrrF62WTWuKvQMwVQ9jl6QmVD2rMuM4WtFvo8olI3YKuGpDuVM6bWqQFkRV6NNqa0JZa2c5HH1iP5KXZEx9zzkEeQfpIqoZqvQyXwlV+lT0UvpaySuAVuVil73l4OxuA6HgzHD32Xp4tWA6z/NV9Mn0KlHa9W4qhWzDFXiMlANTKMKlnsFrexe0ctoTtKKWcYreiXZHfy27iiiKPJCy8fwsVm1K1u5lRnKiopeIK3MpZafXK9W0UuZg5atSsUsA9Wq1CtmZYPqWiptKuKqtKm01ahe5l4FKwsqeil8VSp6GckpLRW9Dk66hJYYBzKYUNZjm02g7HQ6GTv6AxbNXQ64vhl+Nnk8Pfp2eGihLPdNLyjL9VkBZbleAUQj5SZNKCvaMaGs3abSNn2gDBrlJ9Ot1rRMlwlfFJxOfUDW3amWrqKWKc3ha6VtOg1fK32NxbVYLHz6zXj6D+0GuP74XhvxPgtmLc3y4WvNuCrHN97fsHPahtDl+vQcUpcOD+sfmn3Yhq/V2nmQhq/l+myx6Cqdhq+Vthrz5+5DvtniqESZLhOG1PUOXxsa5X64oex9sdSDDmVBEPjw8zcZMrJ3yqdvvvIRMycvMqGchhyyG5RxCBzcfpqD20/jSHIqoKx3v3F2gLJWO3IoW9XaMaGszNeEsmddJs1za4nhaeeHF8rS2A8jlN/9+FVGvTYw5dP3xn7OlElzTSinIYfsBGV7YhIfD17Ox4OXY09MUrX12KYMyurnImcvKMt9TSjryNeEsmddNoByGtaBPexQ1hv3wYTy2HdH8urbw1I+/Wj813w5cYYJ5TTkkJ2g7EnSCmVQFgHxnl/GQVktv/uBsvR3bELZo68JZYU+M6CsH8hyQGYUlFXiZt7wtd64DyaUX31rGG+/Pzrl088/mMqnEybLVuCZUNaTQ3aDstY+5QcJyka2RMlF64uLCWUTyl51GQRlPWKsh5wZUJbHMqGsIwfjcV9+dQDvT3w95dOvP53FB29/aUI5DTlkByi7S1ZBWX+JzoyBspGFXor8TSh79jWhrNBnJJSND1lnSyhb3HQPAJTdftlZCeXBL/fio0lvpXw6/ZsFvPPapyaU05CDCWWl78MG5bQWxjChrGxTbmtC+Z6tflM3yXZQBmNQzgggGvligEEoZ9wXjv5DuvHFlPdS/vjmTv+esaM/lO2/M6GsJ4fsAOWsHr6W+2pB2aLye8tuUHZd64eyuq0JZbmtCWUjQNY4VvHBgrLUO/2AaDAH3VA2Etf4F44efTvw1fQPUv74Fs1ZxqvD38PpECWekmxMKHvMwYSy0ld7O5V+KKvNXcuhrHehl9w3vaCsbSuFspE61NLcTSjLda523XVZD2U9ortSV2JEdHJ2sgjSS5XRTqWvNz+tduRtKqI53XTqla3cvdWrXhmNa8BWzKgcjMVdtWwjIwa8icPhqmzUvksLvp75AVYfi8RT4pVOFb3AYAUtlSpYahW00lrRy0gcuT6jK3ol2R1s/uEAIiKNuzyJj80q0YN6RS+5rVbFLIdqVbH7qQbmvRKbsjKX98ph6tXAvN+3Iq5KRS/XddqqVWlXzEr/6loZVdFL3q62rUr1soe8otfeiRfREuNABhPKuuM+eFBet+pnhvZ5naQk137WVu0bM2XuJykveU9xDcEzm0NZrn9QoJyqS1uZTbmtCWVvtg8ulA3nK4Fn5kMZpBB80KG852NtIBsYspZk5V3Hwzx8bTRuVg9fuz4xErdl20bM+f5LbDYfANb+tIXBvV7DnuiQ2boPSaXnsLOBoW+VId/0OpXJ0MlVWTR8rbpYSjZ8bVUdmn1whq/l+vTap6yImwXD13LfLBtKzopznOVDvjpPZZLP2WfH4Ws9YmyEWw5llcIeCiirAd2bnydbE8ppyMFY3CYt6jN/6bf4+fkCsGntrwzo9goJ8XavcR9VKGvlIIey3nluI1B2OJz8u+88f+8Nw+FwagLHCJTVoGdCOfnahLK83ayAstxXC8p6zy+2WGTg1YCy2jy3lhiccka9x6sGZbleA8qC3h65CWWdORiL+1KTF1m0fAoBAf4AbN20k76dRxEfl+g1rgll7TjynLTiqC0+S762JyQxtus83uq2AHuCdulM0A9lRU4aUE6/utkmlOW+JpSTdUh1aYSyS28krud8tHyNQNk4kCFToKzw1YKy27UJZW85GItbp0Ftvls5jcCgAAB2/LKbXu1HEBcT7zWuCWXtOPKc7mdFuBJ6+oGTEVBW5mBC2bitCWVPto8ClPUDWQ2sGraZAmXZtQllbzkYi/vci8+wdM1McgQHAfD7zn10azuUmKg4r3FNKGvHkef0KENZfejbhLLc14Rysg6pLptDWY8YMzcCVhPKXuI+eFB+5tknWLZuNjlDggHYt/sQXVoNIioyxmtcE8raceQ53Q+U5fIgQVmRgwllhU7ua0I5WYdU94BD2fiQdXpCWWKbNVAWVOBkQjk17hNPV2PFhrnkDg0B4OCff9OpxUDuRER5jWtCWTuOPKesgrK0TRPKnnMwoSzXm1BW5qPH15voBrKg96hEo6uvJXEyH8ouvQllPXGrPf4YP22cR568oQAcOXSUTs0HEHEr0mtcE8raceQ5ZcXwtZEtUfJ2sgrK7rFMKHuzNaEs980qKOsRQy66oQwZsiVK6Zs1UBZUoPewQ/mxqhVYuXk++fLnAeDfv4/Tvkk/bl2P8BrXhLJ2HHlORqCsmcNDOnwtj6UFZSnIsj+U1aFnQhkePigbZniGQFmuz+ZQluu1gKgeN3OgnJ5fOCpUKsOqLQsoWCg/ACeOnaZd035cv3rLa1wTytpx5DnphbKPj4UBbzWj/5tNU8qcmlDWbkcLylKIpB+UjQDHCJT1AtKEshddNoCy7tKZ9ptRkmvRvVH5O1tx7d1WWS7Ti58HEdVsVeIqb9h7SUm1UpRyvVqJS+24BmzFjMrBWNxzZy/Qvll/Ll+8CkCpMsVZvnEuhYvmV42rt971w1RmUysHZR1t7yUkjdTjVpax1F9C0qFaQlJ/GUu1cpn3V6LT++9NrcymvB3tEp3uZSG1fsfuthplLA2UkFQvY5nxJS8ftDKbLr2bTqWspVqZTZfePQe5Th7Xez6/vXcBLdHPbkUP1+wpy/VqvVTtuAZshYzKwVjckqWLs2rLAoqXLApA2JkLtG3Uh4vnrqjGVe2JynTqPdzM6Snr7eEKglV3Ttl9ThnMnrKndjQrkklsjfR+06enrG2btl6rZs8+k3rKaudOp7WspaK6Vgb1lPWIsSFrE8oevR9lKBcvUYTVPy+gdNkSAFw8f5m2jfty7swl1bh6oayw1YCybtjLqmClZ61pI1BWPwZSH5QdDicnj1zmxJGL90pnmlAGE8rebTNoKFnWpgToGm2q26oM1acTlOV6LSirx/Wej5YYnkM2oezZ+1GGcuEiBVm1eQHlKpQC4Mqla7Rt1IfTJ86pxs0IKBuOm8VQlsfSgrKne0tMsDOi5Te83HIyiSmlM7MHlPVW5lLcmwllHbbZG8pyX7U2tW2zF5S140rz0Qtm40CGBwPKOnMSUGBCGteEsq64BQrlY+Wm+VR8rBwA16/dpH2Tfpz876xqXBPKylhqUFbkoIijDfCU60yAskuvD8pyX2N1s00oe/Q1oXxP76bLAijrlbQBGbShrHe/cUZBWaMd9UMpTCgnf2Ikbr4Ceflp0zyqVKsIwM0b4bRr2o+jR06qxjWhrIx1f1A28BweYChr5m9CWYetCWWPvlkE5bQDGdShLNdnFZS9xfHUruRKHVxSeJlQTo6bJ29uVmycS40nqwAQces2HZv358ihY6pxTSgrYxmBslzuB8pqwLkfKHuLo+VrQlmPrQllT7YPGpTvD8iQ/aFsYE5ZKd7B5bo2oewpbq7cISxbN5unalYH4M7tu3RuMZBDf/6jGteEsjJWVkDZpU9/KBsBq1zSE8rS/cYmlD3HNaEs12cGlPUDWQ2C6Qll9/ndbL7Qy3VtQtlT3JwhwSxdM4tazz8FwN3IKDq3HMSff/ylGteEsjJWVgxfu/RZC2U1WGr7qv/eTCibUE7RZRKU9Ygxl8yAskz/sEFZ6vtwQzlHcBDfr5zG83VqAhATHUvX1kP4Y+cB1bgmlJWxtKCsN44i33SEsu7KVg8glNWHvk0oa+ZrQlmXGGd4doSySk7ZDcpKX3UgSn0fPCgHBQWy+Kep1Gv4PABxsXH0aDeMnb/sVY1rQlkZyxuUfXys9H6lKb1faYqPj1UzjiLfdIKylq0cyka2REl1mQ9lud6EchryNaGsKfpLZ16/K/NUIitVJ70U5baCl589xXW7VC2zqZGT0tftA4240gfkvRSl69opufKuk/saiWvANpuU2UxISGRA91fYumknAL6+Nub+8DUNmjyvGldvmU2FrUqZTcNx3WKpldnUykFZHjNtOaiV2VTkYKD0p1qZTZfeewlJRXlMI+Um3eoNqpXZVORrqESn+u/NYaCcp3qJTu8lRh+mMptyvaF8FSUu1eKkrU15u+lVZlOuVyuzKY+77e3zaIludqtuKZJLVvSUNXLKjC1Rruv07ykrfQ3YavSU0z6Ebqyn7Ofny9wlX9O89UsAJCba6ddlFJvXbVd9ZvKenN4e7qPYU/aYQzbvKbv0+nrKinyzeU9ZmYN6T1mtZ5dZPeWM6LUqT9p6NHvKesSQuQnlZHl4oGwkB6PbveRxfX1tzFj4Oa07NAHAbk9iUI9XWbdyi24oy6+1gKj3mMIHGcpOp5NzJ68RduJqSq/AhLLSN7tDWd6OIchpQFkKsmwwlKzRpuT6EYKy4TlkQdSYl3UXE8oePR9kKCt9jcW12WxMm/cpHbq2BCApKYkhvV/np6XrMwTKrlb1Q1kvyLILlC2ClYR4O33qf0TfBh+TEG/Xd28mlD3mkN5QDr8Uw7m/I7gRFpMy9JleUDZu++BAWRFXo02pbdZA2V2dVij76DPDBSf3BkW3eVlR9D5/mww1IdlPlM4pu8eVtaGI66aXtK/H102Uvm62ijjSawF3Tltwn3cVECTzpwIWt7lVqadUJ/c1EteArSBIvoCkXw7G7s1qhW9mfoivr40lC1fidDp5ecBbJNmT6Nyzjde4FsEqmYdzv1bT3Ws1Zf5UEKyS+VtDcSVxXP/LkudwVeO4+Xmydc8p+YWtJwd3e/ecdN2bSk6KHCxWyXyoRbCkzO/JdVbBKpnPtQgWkhwO4mMTsflasfq4vzxl+VksKb18RRxFDm75uvlp+brn7ikHq8WaMjeslp9c7+733+/X2P7daS4di0yxzV04gGfbFadmm+KufETPz1PejsUiSOYxLYIgmS81ZpuqV96Lmq08rjxfNVuVfFXaVMRVaVNpq/6MIHVuWBAEyZyyxZI695v83ym5WXmbgkU6p2wRUueVBYugmFPWEv1AhrRDWearCWXcr00oa8d9MKH8xZT3sPnaWDj7R0RRZPSQd0i02+nZr+MDA2VXLItuKEPqwio1KBvNwV3c89GTk9oXBSn01KEMqYuYkoEYfu0uGxcf5JflfxF9Jx6Aik8VpWmPx6nZqDyCIDx0UN659BQbph4jqLAvhRvkwjeXD0mxTu6ejGXj1BNcOhZJ+zermlDOQijLbdWgDFLwZiSUDQ9ZK4eh3XUaDUuGnVWGr+XX5vC1jrgP3vC1xWJh4lfjGDisR8qnr788gbnTv8/y4WvNuCpnKt/fAq205+AtH62ctIbUpcPD+udLz/93k/+1msv6xX9iK2qlUL1cFHg+hItXbvLV6HXMfGeL92HcbDh8rdZOsu7isdtsmHqM0GpBFGkaSnCpAPxy2wgq4keherkpVC8Xf2+7xoH1lzy2aQ5fe/HVOXyttPXeptxWbfgaZEPUKsPXrnbddSodVZkYBzJkSyhLc5DHMaGssM0mUBYEgQmfvcHwV/qlfDru1YnM+GahCeU05KA1fO01bjpDOS4mkff7L8Hp66Rkh3zkr5WTnGUCyFUxkKLNQilYJ4TtK/9lw4KD3tvMZlDWasciWNn9Uxi+OX3I+1SwxyP3cpYOILikP3t+upDSIzOhrN2mIu5DCmX9QNaAZ1ZDWZmDPI4JZYVtNoLyuA9e4ZU3Bqd8+v5bX/DN57NNKKchh+wA5V3rjnI3IpaC9UKw+itfMyHlAgkpH8C6+X/ivpX3QYCyt/wAju66RnAZf9UXcM5yAdy6GMPtqwle2zSh7MX3AYayHjHWQ9aCp5qtQp/6owllT7pHD8pvjH+Z198ZkfLpxPe+5YuPpskm+00oe7KVS1ZDefuavwkq5o8t2PsylVyVgoi8FcuxAxdR3RqUzaCsll9iXBLWAPXXqs89fUJskvp9m1D27PsQQzkNc8hGho5NKLt0JpT1xv3f2CG8PeGVlE8nfTydT9771oSySg4+Pla6DmlE1yGNUkpnym0zG8p3wmOw5VT/0uB7Tx8ZHquIpQVlq2oOWQfl4Lz+JEQkoSbJ+uA8fh5yMKGs1aYi7kMEZQND1u4/P8LD1ypxsyeULfpssxGUXx7TnwmfvpHy6eQv5vD+m1+YUPaSg83XhxHjOzJifEf8fP282mYmlINDAkiK9rwKPFns9/Q5Qvw9xlKDMpAtofxM8xJEn43DES8vNesS0SkSeTyWcs/kJWce7/ct/R2bUPbo+4BBWY8YHLJ2//kRhbIiB5mv5MoAEDMMylJ7TSi7/QFmJZQHjejJxK/HpXw6c/Ii3h7zsazOrAllPTlkBZTrtqpG9IUEkmK8Q/nO8Vhy5PKnaq2S0rgZBGX9h1nITq4yAOXn2pbB5ufDlV9ukySDstMhcn13JPG37NTtXtYDRNR+x+pQTmthDBPKyjbltpkJ5TQMWbv/bELZY5uKaEagbASIeuMayQGDUM64Lxx9Bnbhy2nvp/yHmD9zKW+M+sCEskzvdDq5fuk2Vy/eSt3bmcVQrt+uOoE5/Li2MxJnorK3GHU+nsjjsTTv+RQ2Xx9VOKUXlOW+2vPR+qGcrA/JF8CgSc/hjBEJW3qDq7/dIeLvaG7svUvYjze4eyqOjm/WoHSNPIo2tPJXg7LrWj+U1W1NKMttMwvKuk97SrocKfN0/1nwrkM+0qgxmO6mVj0l6r5ykMfxnpPqKVGKHGS+imjeT0RSO01J/ZQoo3EN2IoZlYPeuC7dsu/XMHrIOymw6dyjNZOmvY/FKkg8Jdmk0+lOgLFTmVRPnHJ6tNPKQe2UKICYmFjqlxkKwC+npxAQmDpsrXa6U3qeXCU9hcn189H953m372KcFpHg8v4E5PfFkeAk+mw8URfiqdWwAv/7ug1WH4tbHAOnJamc9pS+J0x5/70pT3tyXUdFxLNnTRj7N54nKiIev0AfqtUtzLNtS5K/RLDCV+2+5e0qbVVORFI5AUnb1rtvVpzYJNcbOZ1K29Y9rvd81U6JAqQnQcna2PzqObREN5AdlyLVjz80oey5TUU0E8rJnxiJu3r5Rob3fxOHw/ViatupGd/O/kjyMpfHNQTPLICykRzUoBwXk0DdMoMA2HZmOn4B0pXNWQnly2HhrJqzm22rjpAY71rMVKJiflr0epr67apjtVpUj250j+WxzWwMZU/5qR/7+PBAWRnXe5uG881iKIMUzHqhnO5ABk9wcv85Y6Ds8hW86lThakLZS9wHD8ob1mxlcK/XSEpyvdhbtmvE1HkT8bHJV/M+nFCW65PzkQM5INDPYJyMgTKkQiUxwc7tW9HYfH0IyROIIAgS4JhQVrahlb8JZe048nazAsrJvnqAbHgOWbVUZQbNKbt8Ra861blhrTllnTllzZyy1Ft93tVo3IyYUzaag7G4zVs3ZN4PX+PrawNg3cqfGdhjDIkJ8m0m7vNE6TkXbGA+WmUeNr3OL5bPKcvt9M4FG51TVpvnVs7Zuq59/WwUKJKbXHmDUubj3OdLFVuZHuA5Zble7ZQouW9WzClr22bD+V03vVocebvatirz5/K5YYktUp1821NGVurShLJuIGYDKMv1JpQ922YTKDdqVpcFP07Gz88XgC3rt9O/62jJsYPyuI8SlFWPVUwnKMtj6YWyS6cOHCNQ1ru1yYRysu39Q9ke7+CfrTdY/cEJlr5xlHUTT3Jm720cSU6PcZRxH10o6xGD2550Qllmm55QVm8zjTnI9RpQVs3fhHIacjAWt36j5/nup2kEBLj2cf66ZRe9O75MXGyCzPZRgXL6rJoWBIuhFeF624SMgbK8HRPKXtpJJyhfOxnNnIGH+WXqWW7diCMOJ1fPx7Dx89MseeUokdfiPcZRxjWh7E3SsO0pa6FsaEuUShxFDnK9Rk4mlLMWyi/Uq8X3q6YTGBQAwG/b9tCz/XBio+Nlto8GlOVyP1uZ9ELZyJYoZX5ZA+X0K9H5aEE54lIcK979D0uQhVKd81G0aR4K1clF8ZZ5KdEmL7ExSax67wTx0Uke4yjjmlD2JGnoVJNxUFaDYFqhbGReW8tXJiaUsxbKtV94mh/XziI4Zw4A/vhtP13bDCH6bqzXuA8jlK0+Vjr0fYkOfV+SrDrPblA2cnQjZAyU5b4mlPXZ7ltxCXwEijTKja+sPrl/XhtFm+QmOsLOsV9veY2jjGtCWS76V1lfuKMkiVsCqquvZbaKVchqtnJxU2WHLVFKX/05KR+8ufo6+RMjcQ8f/IcurQYTeecuAI8/VZUf1swgZ64cXuM+Cquv05KDcntVak5nT1xm09K9XD53C18/H554oRz1Wj+esu9ZbZuWpy1RqTrvK4uNrL5WtuN99bXc11x97d02ITaJqT32k7tGDvJUl/+fSpWrO+5AlJO+06ubq69TdKmfbxgdhpYYnEOWX2dAT1luq5KDIIr6F3oZreiVET1l2bXZU/aWg7G4jz9ZlRUb5hKaJxcAhw/8Q8fmA7gdftdr3Iexp+wpH6M5eOopJ8Tb+WD4Avo1mMjqJb9z5Pgp/jxwjC/HLqfz0++z95f/FLG0esp655SNrL5WtpN+PWX1+eiHu6ccdTMRh10koIAvahJQ0Je71xNwOkQPcc2esh5Jwxyy/DproezyNQDlDFjopfBNRygLKnAyoZwat2qNSvy0cR558oYC8M9fx+jYrD/hN+94jfuwQFkURW7fuktkeEzKt/P0grIoinz48kK2bzhMwRdCKNUpL0Ubh1KsRSilO+XDGiowfuB8/tpzWhEruy/0UubgHcqKHDSg7B7rQYCyGnBsfq5rMUn9Hei0O7FYhZThWRPKyTp0SxrnkOXXDxCUDeegMx+5bzpB2aXXD2VBBXqZBWUjOaTnvVWqUp5VW+aTv0BeAP779yTtm/bj5rUIr3EfBijHxybQ8LHBNHxsMIlxqYtq0gPK/x44y65NRyjwQk5CKgQiuJUrtQX7UKhBLvzz+TDr4/UeYz2qUJbH0oKydG9v+kFZChwN6HkBTkgBf4Lz+XL3TBxqEh0WT9EqwVit7jnIYW9CWU30A9kA5Ewoe7HNBCjL9fcHRAO2Ksc3quUg19/vvZWvWIbVPy+kcJECAJw8doZ2Tfpy7cpNr3EfBih7s71fKK9ZtAv/XDaCS/vjSQSLQK6qQZw8cpHTRy97jGVC+Z6fga1XWlCWQkTrd3x/ULZYBZ5oVoios3HEXU/Ek0SeiiXuhp0azQt6bscAlPUCMrtAWe00LfmhFFpifA5ZZfWwCWUPvtkcytpxDdhmMJSvXrnO+jU/s27lFk4cO+01bumyJVi1ZQFFixcG4Mypc7Rr3JfLF697jAsohhmzCsrSE6fUoay+rUgKZb05ye/l9LHL+BW0qb5Ygoq4FnVdOHVDGteEsiJWekFZ3k5GQ/mpNoUpXDGYS5sjCD8cRVKsA1EUSYxM4saeSK79Fknl+vko/XRu7+1kACC1htvvp800n051H1C+/yFrDSjrPv7QhLLLTxHJhPKF85fo130kT1eoy9RuLzOn52iaPtWS1o16sn/vYY9xS5QqxqotCyhRqigA585epF3jvlwIuyyzlf9H0w9l9R6uiq0WnHRC2dO1ms4IlJNz8LFaEJ3qf+uiw6W3WCyq92JC+Z7fAwhlH18LnSdUpnqjAtz+J4YzS25wct41wpbfJPZ8ArW7FqPxyDJYrRpz11kxlCxrM1OOjEwjlHUDWRFOL2gxCGV3OJlQviePLpTDzl6gWb3OVNn5J7eCgzkA7AFu+/sz+PRFOjXpzY5fdnuMW6x4YVZtWUCZciUBuHj+Mu0a9yXs9EWZbdqgrLBVgbLhuGmEsvaqaWM5VK9ZnpjzrpWz3iQqLB4EeOyJEpr3kl2grHe/sQnlVFubv5VGw8owYvEztHytPA2Hlqb1WxUYtvBpnutaDOGev1rta2XczIey3DezoKxHDPWQMwXKMv1DB2WdOZlQdskrw95mZJKDT27fJrB5cxJ+/ZWEvXsQXh5B74gI1ufJw5C+rxIXF+8xbuEiBVm1eQHlKpYG4Mrl67Rt1IdTx8/JbB9sKHvz82RrBMqFiubBkeAk4u9oj2054p2E/xVN4RJ5KVw8v/e42QzKLr1+KOvtZT/sUAbwz+HDY3Xz8UTzQpR/Ng8+vhYPtiaUPdlqieEhaxPKHvRGoKzRjgnlVP1//57g7137eD0mlqQhQ7DPnYNY+1nE6tVJmjAB+/Rp1Lt2jZIRd1izYpPXuPkL5mXlpvk8VqU8ADeu36J9k74c//e0zNaEsvx6x8ZD2HJYCT8YzbXfI0mMdK3iFp0iUWFxXFh3C0e8g7t3YkiyO9Tv7QGGstz3UYeyPlsTyp5s1SRNc8gmlD3ojUJZNQc3P4XxowPlHb/+TitfX2zx8SSNHo1cnJ07IxbIzyuFCrH9l99V4+bLn4cVG+dRtXolAG7djKB9s/4cPXJSZvvgQdnqY6Vl57q07FwXm83Xo5+nuFpQFkWRo4fOkqtKIPlr5SQ6LI6w5Tc5/d11Ti26zpVf72D1t1CgdgjRd+K4cuGW9r3JoKxqm0lQ9hZHy9eEsh5bE8qebL2JbiDLF3aYUPagN+eUPdumEcrx8fHk8XOt4KVQQRTi44OYvwC5fXyIj4vXjBuaJxfLN8zh8aeqAnA7/A4dmvXjyMH/ZLYPFpT9/f35YMrLfDDlZXz9bKo5GIGygGtBl8UqkLtKEKW7FqBQvVzkrhxI3idyUKJtXoq3zIstp6u2sdPh9BhL7V40bbPZQi+5mFDWY2tCWa8Ysn7ooGxksZkkjko7JpQ926YByiVKFmdXVJTrk59/RiEXLiIcPcqOO3coUbKYrri5coewbN1snnn2cQAi70TRqcVADu77W2b7YEE5IxZ6WSwWSpQvROwV11nTFh+BnGUCyPN4MKHVcuCfxwZA7OUE/AJsFCyWV/+9PcBQNrrQSzV/E8o6bB8dKBsesn6ooCzXP2RQlkLxwYNys5YNOZc7hDMFCuDz2usIp93mfG/fxjZ4MAkBAcyIiqJb7w664wbnzMEPq2fy7AtPARB1N5ourQaz9/dDMtsHA8qiKBIbE098rF1S2D49oNyhTwOiz8eTEGHHkyTFObh7Mp6mnZ4lINAv3QqaaEFZDTjZDcqe8veWg9VilRUBMaHsOe7DCWX9QHYD8SMNZdUcdOYj9zUIZdmvWhpXBbxaUJb6Zj2UAwODGDVmCPWvX+fO3bv4Vq+BrXkLbB074Ve2HM59+2iVlESDdk2pVLmC7rhgIShHIN+vnE6d+s8CEBMdS/e2w/h9+58y2+wP5bjYBGqV6EKtEl1IcCudqZWDHig36/QcpSoU5sqWO0RfiE8BviiKxN1I5MrmOwT6+9NteENJTrrvLY1Qdun1Q1kvnIxCOe2+6iMcRqCs3ss2oayZbyZBWY8Y6yGbUNaRg8xPJae0bomCjIGy0tdIDzxjoDxi9GDajhlC8YgIXg8K4uipU5w4coTJgQEUi4tDqF+bb2dO1Lw3T1AODAxg4fIp1G/0AgBxsXH06jCCHVv3yGyzP5TTmoMWlAMC/Zi87DUqVi7J5Z9vc35FOJc2R3BxdQQX1oYTGpyTyT/9j0JF88niZC8oa9nKwZoRq6/lvukFZbleC8qqPf1sCGW9gHwYoKz/POQzbgX63RoVZAkogglefgbFi9nQmcRul2k9T9nl6z3u/eWgPyfV/DXiSp+3+tnB0rOF1XRyXyNxDdiK3nVyv2NHjzFv9vf8uecgSQ4HFR8rR5/+XXnuxVoa34q07y0hIZFBPcewZcN2AHx9bcz+/ksaNaur+swMnaGseg5y2uIkx4qNiadm8U4A7D2/lMAgf8M5KM9BluYgiiL/HjzD5hV7CL8ZSY7gAOq2eJKadSsjWEWVOOlzxrPyvGKVM4llOrUzldXOFXbpjZyLnNazmI2ci+w9P7leeRaz9zOVlX8r3s9Uvp+zgtXOSVY721hpK4+rcuazkXwzsM2VQ0+hJWkDMphQ1pWD/pxMKKd3DsbiJibaGdr3dTas3gqAj48PMxZ9TvPWL2UIlF2tpl7fD5SjY2I8AlkzP4NQ1nsvJpSVflq+DxOUjdtmLZQV+WZQmyuGyLdYKkX3kLWC25k1fK1zrjXbD19r5JTW4iGQ9cPXSl8DtirD12nNQRRF9u4+wOL5y1i6eCXnwi5qxvX1tTFz4ee07dgMgKSkJAb3fJU1KzarPjPV4WFDw87Zf/g6rfuLH+Tha5f+4Ry+VuagZasyPGxgD6768HDWL7rSalNybaBNPWJoDjldoawCWkOLpWRAVF0s5S0mJpQ96x48KG9e/yvPP9mMAY2688uId1g15E1eqPISXdoM4NzZS6pxfXx8mDL3Ezp1bw2Aw+FgWN83WL5kXbaAslpcyX0JFgkEtaCsVkHL0BcF1WMg1aGs94uCCWXt/OR6E8ppyFelTUVcjTYztFKXFpTdwawKZfn1vbiJiYksW7uSRp1bUfqZKlR64QmGvjGaI0f/Udh6i2sIyhKYmlBW6h4cKC//YTXDOg9lyt1YrlqtbAS2Abdz5KDOoaO0qNeZsDMXVeNarVa+nvEBPfq6tlE5nU5GDXqbJQtXZjmUteLKRS+U5TlkBZQVcTWgLIWeCWVP7ZhQ1mOb8VD2dO1N9APZHbwqUAaMQdlNbt66yQvtGtNteD+SLCLde3WncbOmbNi2hacavcAHkya6xUknKMt8TSh70mV/KN8Ov8OY4W+xt2BBGkZH4/jkE+KPHyfhz33YOndifHgEI0WB10e9pxnXYrHw2bfj6TOoC+D6ex8z7F0WzlmWLaFstVpo1Oo5GrV6DpvVJr23hxTKClsTyh7bMaGsxzZzoKxHdC/qSjp5K7nVVGf5IiVZAu6LvRSNyBZOOZ1OXmjXhHOXzrN8xXKefvrpFLXdbmfSpEm8//4Epk38moE9+7j5qizIQr5ITOMBSRZoqcdFLa4kjoqfRk7mQi/9OUz5ejZ/vvsFG5KSSFyzGmejRhIfn1GjcHz/PbliYtl2eBNly5fWjCuKIu+N/ZyZUxalfDrhszcYOLxHli/00oyrWMnt9G5raIFW2nNw16st9FLE1Vh8Jl1IZS708tSOudBLj23aFnop4nppc9mgE2iJ4SHrDOkpi7B113b2HdrPwkULJTAGsNlsjB07lq5du/DJt1+QlORW/CAresqK/M2esnbcjO0p/75zD8MKFsRZtizOhg2Ri2P4cPxiYmlgsfD7b/t0xRUEgfcmvsbLY/qnfDr+9U+Z9tX8bNlT9hbHFStjesp648j1WdVTdtebPWUv7Zg9ZWW+mdRTNg5kyBAoL/jxe6pWqcKLL77otdkRI0Zw8coltu3aKYuT/aFsqPiJm5hQ1pdDQkIiQVYr5MnjcdRBDA0FINhqJTEhUXdcQRB46/3R/O/NISmffjDuS77+bJYJ5Xu6B2n4Wq43oeylHRPKynwzAcq6gSxfRZ3eUD5/+SJPPPmEchjcTWrUqOGyvXRRc6V2doOyMgd5HBPKClsDUC5dthS/RkYiHDwIV64gF+uGDYiCwF67nTJlS+mOmwzl18eN4M33RqZ8+un7k/nsgynyORFJnMyCcnxsIpVCm1AptAnxsdKa05nVU36Yoay3hrUJ5eSfTSh7alOPGPLISCgHBQQSfitctf3bt28DEBQYKPF1S0IR111MKEPGQtniRZfxUO7VtyuT79wh0c8P3z594caNVJu9+/AZ9w5/FipEUrHC1H3p+TTcG4x6bRDjPxqT8ulXE2fy8fivswWU9cZxxTKhLNerQVluqwVl9SMYsx+UrWrtmFBW5puBUDaM8IyCcrP6jfh561ZuuL1I5fL990uw2Wy89HxdWVLuPz/CUFaJmzlQlsbWhrJOW0GQgNlTDtUfr0Kdtk1pZrdjP3gQv7LlsDVpiu+zz+JXrx4XLBaaXbnCm+NfwWq1pnjqvzeXbtjovnz4xZspn075ch7vvvGZCWUP+kcVyvJY6VU32yiU1eCv7qt+39LfsQllj75phHKa5pAzAsq9O3TDx+rD6NGvYLcrj3o7efIkn3/2GR1atKVAvvxpLh4CDzGUFTnIfCVXRnq0gsQ7/aBs0FYDylNnf0lg0/oUio3loxw5OBgWxq7wCLr7+1P+1i1e/WI8nbq1ve+h+QFDu/PZt+NTPp099Tve+t9HSBdXZtWcsgpoTSjf02UvKMt9taCs9jtWO1M5vaCsiKsBZSmcsj+UdecrCBJ9ekBZ97Yn+7Gb9zzcnOUT1fe5JWrNlg10Ht6H6tWrM3LkSGrXfpaYmBiWLVvG9GkzKJgvPzt+2kSe3KGpvnIWSDoqgned3DcLtkQpc5DH8Z6TZu1ulbjKX7j3Qx3kW4PcvdW3DRmNa8BW9J6DU3Ry6MBfLJq3lFMnz+Bj86H288/Qu18XChYuoJGD3ntz6X5YtIr/DRuf8iW0W5/2fD55PNL/e9J70dxyZGgrk+s6NiaO6kWaA3D40loCgwLMLVGebA1s91HbEiW31dpy5FDN4X62U3n/vSm3NnnfeqW+ncr7fSviqmyJcl2Lbrbifdi66QxsiVLG1TgIw0i+kgMrPMdZ0v8/tMQ4kCFDofzbvt28/9VEdu79PUWXIygHPdp1YsJr4wjNlVsBHxPKOtp5hKB8fzkYi7vih3WMHPR2yn/Qjt1a8dWMCVis8l+O+3/u9IWyJyBrxjWhfE9nQlnLN7tDWe6bXaGccUAG3VAGGZh1Fg85FXaGU+fO4Ofrx9PVHydncE5VyGUFlF2+gledCeW0xH3woLzmp80M6/sGDofrxdSmQ1O+nfMRPjb5HG/GQDkmOtojkDXjqkDZSA7ZAcpaOamdFGVCWdvXhLLOfFWg/F3fo2iJj6bFPRGdohS8IikveIXOKUrAK4piKpTlOjff5E9FoFypMpQrVUYKEdHdSJTOKYoyOKnYSnRyX7mtXBS+YiqUZTpFDpAaWzUHeRzvOSnvW+Ve5W0ih7KFZHAJCBL4CFhkcEr1luvkvsbiGrAVhJTnmr45GLu31u2bYLP5MLjXq9jtSaxesYlEu53pCz7D5mv1GNciWCUvMbVrhQ6rBD4+PjbqNKoJgM3HF3dRjSuLIwgWCQT15pA8n5isFwSrBMpG7sVdr5aPnpxUbS3WFKhYBIvkpeyuswpWCRDVbJVtWCQvbPdY7n5avoocFL6pOcnjWC1WCVglvwtZfmq+avetiKuwlbVjEVJgZREECcSM2QoS6Ln7atu6x5Xnq2arka+bXh5Hj+juISceda1+VvSGM6CnDDJQGOh5Zvuesjy22VP2EvfB6ylv3byT/l1Hk5joWpTYuHldZi6ehK+f/Htvxg1fpyluOvWU5XpPPWWHw8kfvxxh7/Z/SIi3U7hEXpp1qk3ewiEqcbK+pwyyHq7ZU9bM3+wpS/309JANAxmyIZRdgVP9svucsjy2CWUvcbM3lG/dimDJwp9YvnQN4TcjyBUawuNPVGXdyi0k3KsGVq/hc8z94Wv8A6Q910cRyv8cOM1bg6Zw48ptAkJ9sfgKxEfYEZNEWvV4kVEfdJIM82fGnDKYUPaUX1qgnGR3cnz3Da6cvotggWKVQij9VG7JeopHGcoZBmQwoezJN8OgLNebUPZsm4lQ/nPPIbq1G8Rz0bEMDhAoLsIVAebGw0aLBcFiSYHyC3VrsmDZtwQE+XuN+7BD+cQ/5xnY6gOsuSzkqxmMf17XqVTORCd3TsQSfiCal1o/w7jJfSTvBxPKSt/sCOXDWy+xccpxYiPt2IIsiEBSjJOc+f1oOboCZZ/J472dRwTKi3r/i5bo34essp/Y9YGKTu7rfhMacSXMkL9TFddu84JqtqIosZXHyZR9yipxFDnI9ZmyTxkwtJ9Y8KpL9hVFkQsXLnLi+Cnu3InUGTf99imnOa7s3s6fu0SXNgP4OimeTU6RCn4WThfzo1iglVUOJ0tsTkSHg4BAF4B37dhH93bDiImK8xpXcx+wyt7e+JhEqhZqTNVCjYmNiVPUmtYdV2WfslYO6vuLrXz7/g9YAgWKNM6dAmMAi6+F0Ko5yP98Tn5euY9jh86rxMmYfcpy0dqDK9lfbKSIRibsU5bnlBn7lPeuOseKj/4hLsY1VWOPcSImiQSX9SfJKrJk3N+c+jPcezs69/1q23r3zaizjTXz1erQycRYYZCHCcoy2yyBspHiIVq+Mj/V/DMZyg6Hg3mzF1Dr6eepUrEGTz9Rm9LFK9Kn5wD+OnzkgYPy3Gnf0TExgX6xDt56IYS2bfMy/oVcdG6dl5ENctE6zsnLPlD7hacIzpkDgL2/H6RbmyFE3431Gvd+oBwXG09cbHxq1GwE5Qtnr3Hg92OEVAnA4uP5BZWzbAD+ITZWLdyhWTxEb0GTjCoeAvqhrGxHHcrpVzc7c6AcfimG9ZOPIfgIhJQPpGjTUIo2CyVn+UBiLiSQGOXAv4Av6746gdOR+rIxoexZjFfqepShrAbm+4Gy3hw8+aqIISi756+IlHYoOxwO+vYewCujX6V8uQr8+ONSfvnlFz755BP++fs/GtZvzqaNPz8wUHY6nXy/eAXDrLCrqB8rKwRK2vu5VABbSvkzBCe/bd/L4p+mkit3TgD27/2LTi0GEnk7ShE3JZv7gLJcsguUT/7r6vXmKCYfsndvQ8C/iI1jR855jeMtJ617UasyJoeyaqnKTICy3De7Q3nRWwex+Foo2TYvBWqHEFTEj6DCfuSvmZOS7fIhCOCIdxJ1M4Ezf0Z4vRfXtQll3UA2As+HFspyW7nIoCyoxL2/HHTmI/c18EVBC8oC3qHn7v3NV1NYu2Y9P/ywhKVLf6BVq1Y891xtRowYzv79f9KoUSP69BzA1SvXHggox0THEX03hoqJTv4oLF+o5ZLdRf0oGy/iTEyiSNFCrNgwj9C8uQH46+C/dGw+kIhbkTKv9IGyEqbZAMr3XuAa40wgSteXpBeU5bE0bR8wKKsPfWcclK+ducutCzHkr50T3xDlDlpbDiv5a+ck8XYSPoEWLh67i6L0pwZopaUpH2wo6xFDHiaUPdjKReH7cELZpVeHst1uZ8b0WfTu3YvWrVsrovn5+TF79iwsFgsL5i9WxPQc18AXAxmUBRXw6o3rH+CHIAhEWgUKR0sXvSRL4SgHMRZwAAEBgVSpXpGfNs4jbz5Xydd/jxyjQ9N+hN+4LfN8OKFcqVopBAFizsfjTUSnSNwlO1WfLGto2NmEsoccNKDsHksLylKQSW2P/nYdq69AcEnvIx9BRf3wCbLgTBIl73m9UHbZ6oeyem3p7A9lwwg3oezBVi6PEJQRYefO33jjjbGMHDGaTyd+zoULFwDYv/8gV69epU+fPl7zCgkJoV27tqxZvc6tTa0euIEvBirHN6pB2Vtcm83Gi/Vrs8zHQuvTcRSIkUI5V7yTTidiWRZgpdoTj92DsIVKlcuxassCChTMB8Dx/07Trmk/blwNRyppg7JcshOUi5TIT6161bnzbyyORPkKdpdEnoglIcpOu971NHMwoaztqzknrhPK8nbcdXHRdnwCrcpdNW4iCAI+gVaciSKFSuf0mlN6QVlpqw7ltB4OkVFQNt6n5v6gLNFrQdn9FCkTyl5y0JmP3DcdoHzs2DGeeaYmzZo2Z83qtRw+/Bdff/UNVR6rzpBBw7h18xYARYoUUc2raNGiRN6JRP7nmF2hPHBoLz6NdRAJLF17ix5HY6h+I5FOx2P5ce0tBLvI+zEOBg7tJYlbrkJpVm1ZQOEirkMuTh0/S7smfbl6WX7kaOZAWRWmKvOwnqB85sRFdv96mL/2niDJDbrJfq+83wOL3cqVTbeJuZKQ8n89Kc7BrYNR3PjjLm171qVi9ZJec1C7bxPKHnLIYCgH5/YjKdaBM8n7e0d0iCTeTcLH18JjLxTw8LyzFsratlIoS/NNfyjrLp1JGsthuj5A8laX6NXiyvTyuMK90FdvXGPDr1uIjLpLofwFaNmwKcE5gqUkcSspqVpmU2Yr12mWqnQXha/OMpuGc3DTa5T+VC0TqpJT8rNOlrCw8zRu3ISCBQuyZctmXnjhBQRBIDo6mu+++44333yLs2FhAJw6dYrChQt7zenEiZPkz5/v3pUF9z3C7qUq1cpsatq6ldmU69XKbHqK27BJXdoM703tqQuZbBMYu/cuPqLLY0uQhZF2kZrd29CxayvZnVooXbYEq35eSIdm/bl4/jJnT5+nXeO+LN84l6LFC7rZpj7x5JeYt/KTPlYfaj7/eMrP7npleUwDZS3l126xksta7tj8JzO++JH//jqTYheSOwcd+zSm/ytt8fP3xYKV0hWKMnvNu7w9ZDLnNl7BL9iGxddCwp1ErFYrPUc0Z8jYDrjKGHrJT6XMpntOavcSExXPL6sO8tuGI9yNjCVP/py81O4Jajd5LKWimsJXZ5lNkJXHNFJuUqXMpjKH+ynRKcvJLZZamU15OxbBSo2XirB5znHuno4jV8VAPEnUuXicCSL1+pXGx9fiOa576U+V0pkuW/fSlEZsvZfZ1LaVx3XPV73MJij3KquJ7sIgCX9dTc5GGkDlRCe14iEKfRriRt6NZMT411i2fhWiKBIUFMTdu3cJzhHMsN4DeP9/b+Fjk33nUCu1KeeYocId3iGo9PUe9/5y0JmP3NdAQZPkP5a+ffvyxx9/sGfPH+TJk0cRf8OGDXTo0JHChQtTs2ZNliz53mMeV65coWLFSkz46D2GjxjipvFe2EOteIimrezPXVQpEKIW1yk6+G7BMr6dNJOosEsUAa4BtqIFGfpyXwYM65HyrdhT3EsXr9KhWT/Onb0IQJFihfhp01yKl5KPJkh9VYtzGCr6YaDwiJciIMvmb+KDV6cTVNiPkMqB+Oex4Yh3EnkqlqgT8dR4piJTlr6Fn79vip8oihzac4w9244QH59IkRL5adzuWXKFBusuaKJV9MPbyVV/7zvD2/1nExsVT1BRP6yBVpLuOoi5kkCBYrn5aFFfipbO5zVuWouHyO1Vy02qFA9R5nA/hUe8FwFRKx4ib2fRO/s4uvsaRRrnJqCAdJFj/C07FzeEk7doEKPmv6Bd/ETyjDSKc0iqYBmxlenScIyi53y1bEXm9TiClhgHMmQLKMfExVC/S0vOXDzH22+/TY8e3cmVKxcXL15i9uxZfPnlV3Rs3oZF38zCYlUfwjSh7MFWJe6NmzcpW7YsH3zwAaNGjfQcWxSpXfs5HI4k/vnnXz755BNGjRop+Z2Gh4fTtm07zp0/x8HD+8iVO0QWJXtDWcSJ0+nk77+OEn4zgpDcOXn8yapYrVZdca9euU7H5gM4fdI1klCocH6Wb5xL6XLFZbbZD8qnT56nzXPDCakYQP5ncyr+r8ZeS+TK5tv0H9WOIW908pqDEqbGvxh4jiOF8vlT1xjSfBI+uS0UqBOCLSh16DQhws617ZEE+QUwffNIcuYO8t6mCWVJOwmxScwes5tz/0aQo5gfQcVdC7xiLsYTfSGBQmVz0v/LZwgItnnJ4dGB8pzuf6El+rc96Z37lenV5pTvJ+7nM77l2JmTbNmymREjhpMrVy4AihUryoQJE1iwYAFL1/7E+l82q8/RIp9bVbEVpfpHdU75+LFj2O12mjVr6j22INCsWVNu3rzFmFdf4c033+SZZ57hq6++ZtGiRYwe/QqVKj3G2bCzrPhpKblz50rTfG6abNNxTtlisVDjiao0aFyHp555PAXGeuIWKlyAlZvmU6FSWQCuXrlBu8Z9OXksTGYrnx9LrwVaBlZuy66Xz9+Mzd9KvppKGAMEFvQluLw/P87f4nFO2VtcQ4vPVOaC5XPKS6b+AjYo3DCXBMYAfqE2CjfJzZ3waDYtOaDeZhrnlOXysMwp+wX6MOSb5+nwenWC/fy4/nsk13+PJMhio80rVRg6tTZBOf1Ucnhw55SV+arb6hFj256yCZTtdjtzli6iR4/uVKtWzWOuHTq05+mnn2b64rke20wzlGX6RxXKLnN9cyMTJkxg3YY1lCxVinfffZfBg4ewZs0ahgwdzN69v/Pkk0+m5vMAQlkW2FDc/AXz8tOmeVSuWgGAG9dv0b5JP479c0o1rvuLLD42kRolG1GjZCNiY+IyBcrbNu8lsJSv5OAAuYSUDyQyIoqjf50xuEArfaEcExXH9rWHCa7gj8Xm+ZVnC7KSo5Qf67/bYy70SvbTCWUfXyu1WpbmlXl1+WR7Cz7Z3oIxi+pTs3UJbH5WRTsmlL2L8W1P2QDKp86d4drN67Rv314113bt2vHbvt1e2zSh7MFXB5QrV66Mr68vGzZs9BpTFEXWr9/AE0+4FhvVr1efpT9+T8Sdm9yOvMXpsyd4971xFCpcyJVDugHxwYNy3nyhrNg4j2qPPwZA+K0IOjTrzz+Hj6vGdX+RRYTfISL8jked/Do9oBwXG4/VT/31YfUTUmy1cshIKN+6FkmS3aGY45RLQAFfbl6JxOFwmlBO9jO4+trqY8HqY/Hia0JZS9K27SmLoZxkTwLA39/7hnSAwMAAkpKSpHFNKHsUI1DOE5qH9u3bM3XqVG7evOkx3tq1a/n7778ZOHBgahtYEAQBm82W8okkh0cYyrlDQ1i+fg5PPlMdgNsRkXRsPoC/DsiPbPMOZblkJJQLFslHYkSS17YB4sNd+kJF8+rKIaOgbPO9N39p97wHOlkcdhGL1ZLyAtXcGmZCWdGOXGdC2fO1N9EP5HSa+00PKJcsUgx/P3927vxNNeUdO3ZSsWx51xyXAdBmCyjrzSGLoPzuO+Ox2+00btyEX3/9NWVhxN27d5k8eQq9e/ehVauWNGz4UrqCS2r7cEE5JFdOlq6ZSc3aTwBwNzKKTi0Gsn+PfHVm1s8pd+zZlOjz8STe9QxlURSJ/C+WKk+Wo0z5ErpzyAgoFyqehwJFQ4k6471SGEDM2Xgef64sVkG6M+NBg7JeX83a3SaUddjqh7IeMdZDziZQzhmck04t2jJz5kwiIyM9pnrixAnWrl3LoG59PLeT3aEs12tBWTUHnfnIfVUOvihRogRbt/yMr81GixYtKVeuPM88U5PSpcvw5ptv0q1bNxYuXJDyxy0HlxReJpST4wbnzMGSVTN47sVnAIiOiqFr68Hs2XVQNa4kSiZAuVXH+hQsmo+rWyNJjJRC2ZkkcuOPu8RcSWDImM6Gc0hvKFssFtr3rUN0WDyxVxPwJJEnY4m9kUib3s9r5qQFZTXgyKGsF07yMpbaB0ukFejqULbq7JGbUPas0xLd257iD15x85IFuc/9xGmJe/r8WWq3b0TZ8uWYNWsmFStWBFzA3rVrF/369SckMJg9q7cSFJTDezvy55XWLVEyfbptiZLrdebgdDr5Zed2Vqz8iYiICEJDQ+nYvgP169ZN/WNTyUk1f/f7FEX+2LuHjRs3EhMTQ5EiRejSpQtFixa9Z+F925Dr2im58q6T+2b/LVGywETeucvuXX8SGxNL4aIFqFn7SSwWi8e4sbFx9Osyih2//gGAf4A/C5d9ywv1ayrixsbEUTb/swCcvP47gUEBrigZvCXq3JnL9Gs3lmuXbpKjuD++oT44EpzEhCWSlOBg/KRhtO/ZMM05pOeWKHtiEq/1mMKRfWfIVSWQXBUC8AmykngniTvHYrlzPJZmXWrxysQOkneWWk5qW6Jceu/bnNK6JcqlT7VV2xKlyNfQdirvW6JAui1Ka+uV+nYqA/edCVui5Pr03BI1q+thtCRtQIZsAeVDR4/QbkgPLl+7Sq1atShUqBAnjh/nv2PHeLJqDVbPWULhAq5FQ4qbfIihHHbhHB27d+Gfo/9SsWJFSpUsydmwME6cOEG1qlVZ9v1SSpYooZmTXih7zF9ylflQVvpmPpSTfaPuRjNh3Gcs/W4lFRMSyQWcBHxKFOa1t16mc482HnydxMcnMKD7K/yy2TU14+fny9wfvqZB4xckOcXGxKYA+fSNPfgHpi5eymgox0THsX7FNpYv3sTVSzcJCPSjQbPadOzTmJJli9yLo/5yzywoJ8TbmT1xLeu+/5342MQUXUieIDoNqkfnIfVdFZxU4ijyNaGsmZ9crwZlZQ7pA2W5fXpBWWnrHcozOh9CS3QDOW7/ZZeDxftLOSugnJiYyKqf17Nqy3oio+5SMH8BerTtTP3aL2L1kQ59PApQvnnrJrUb1MHH5sPMmTN57rnaCIKAKIrs3r2bQYMGIzpFft++g7x58mrm9KhAWWGrAmUjOURHRdOycVeK/XuCL3Dy2L33iwNY629hSLyT/u+NZvRrgz3GTUhIZEjvV9m0bhsAvr42Zn03icbN66XkFBcXT7tGfQFY+fM8AgL81aGXyRW9XHGyB5QBYqPjOfDbcaIiYwjNl5MnX6iAzddH/d5MKHvMIauhLG8nO0M5Q4AMBqAMUvBmYZnNZFGFsvxaDcoatlkF5fc+msCUWdM5ePAgxYoVRS7nz1/gySefZPTLI3nnzbd15WRCOe05jHv9Q05PW8BmEc5aLThD8xDv48PJW7eoY7cTboVnHLBuzyoqV6voMa7dbmdYv7GsW7kFAB8fH6Yv/IwWbRqqPrO0Qjk2Jo7Vy7dwYM/fJNmTKFOhBB16NKFg4XyG4riyTxuU5b5qUNbMSWdFLyNxNG1NKHts51GGsh4g3/+2J7UFWa5MUnUaC710x72PBWQK7BhYAGVosVQWLPRyJCUxb/ECunXr5hHGACVKFKdbt67MXTBf+gemkpNq/mrPBMV6YJlO9sVK50Ivpa+RuAZsVRZ66ckhNjaOebO/Z5IIWK2Uc4qUr1CBaqVK0TEpiYCcOSnvgD4WgXmzlniNa7PZmD7/U9p3bg5AUlISQ3q9xqplG1WfmepCKi+6jau2UbN8K9aM+oJn1/3KS1t2cvGzhdSv0oVPx8/E6XQq4qjG1TglSvVadX+xgXvDe75pPeNZ09bAIibFIisjC56yeKEXoHuhl1yvttBLmYOWrcqWI5WTl7RtBbefvS/0UtrK4+pDbdpPe3I/eUlE2iOUn/bkfmKTymlOhuKmwylRqc7SdiTXshORDJ205KZLhprXk5ZU8pGcEqVoM/Xn8IgIrt+4Qf369TzHvSf169dn9uw5REREkDdv6h5RtZxUT7lSe37In7cF996k/KQl6SlNUk/5CU5SXyNxDdiqnBLlLYeI8NusXL6O33bsoUiineqAs2BBErf+jFiqlMvv9GlytGtPYlwc7e12um7ZgbvI4/r4+PDt7I+x+dpYung1DoeDEf3fxG5PolP3Vl6fmUXwfoKT0yGy/efdXDh3Bf8AP0Tgo5ETWR5ooSlwyyESaxMYleTkrJ9Ak29/xOlw8uZHQ1XjKnSyU6IgtWeqFkfuK9cZOrlK5aQo91OiPMWB1B6aWhxFmyonLamdEqVlq2wn9eQitVOiFPkaOmHK+ylRID0pSi0/uV55wpT3E7KUfytyW7fTqFROfjJu63aCk8opUUpbQdFT1hL9QIbsCWXQFdcwlCW69IGywjedoWy9d4hGYqLdy424JCHBtaDFarV6gKkJZYWtTignJSXx/riJzJ+5mDpOJ4/7+tLpnm/SG2+kwBhALFsW+7Sp+DdsRGEgKjJa9d4cDpHtW3eTv0BeKleryNG/j+N0Ohk9eBwxMTFM+2oBADsOriQwMED6tD1A77t5PzHpoxkEX4/gcYtApFPkN2CuBV5MdDKqQS62lvDHaRGodMvO5zvusFV0UGHqcnoMbEOxkoXSDGXXI9U+KtGTb1ZAWRHXhLLHHEwoe7I1BmX9c8j7LqVeyOdwM2BOOaPiGppT1pj7TeucssJX41Qm6Xy097giItWffYoq1ary3XeLvYbr2rUbJ44f59Ce/anPSuNeveYut1V7Jjwcc8pRUdEsX7qKXb/9QWJiImXLlaZH785M+nQyJ39cw8+5c5MvPBy71YrN4UAEnHXqYN+8SRIbux2/kFz87etLw5AcHA37w+O97dy2m1eGvYP14lVa+VnxEWBxvINwlHL6xh4Cg5LPppU97XsvsilfzGPee1NZFGihcWxqWxE+ArmSRN60wYoO+SWHMJS5bWfDT7fobbMQMKIzr747UBHX07XWPKy3oxIVcQws9DKag7s+vRafmXPK2vnJ9Q/7nPK0TtKDSzxJmuaQFXO4GTCnnFFxDc0pq82d4mFuVcVWOTesYquSk9qcsoDAoL4DWLNmDXv37vMYas+evaxbt45BfQdIv7ho3KvX3OW2Cp3MV3L14M0pr165nipln2bN/96h876/GHLkOEmzFvNijfps/2EVfwQFkadoERJ+/ZWRAwYwNTQUBAHrzp34vP56aqz4eHxGjgJRZJePD1WrP+axzV079tK7zSA+DL/BWeCrRAefJjq4CXT0ML6lNad89tR5vn5vKtv9LTwOvFEnhDpd8rO8XADBDhEL8Ikdpqy5Rfnw1JGWM7ltHAv1oa4vzJ+2gonjpnPh3JWUuPJ2PP0MeChE4r2YRFqLh8jFyFywkXlurTll6ZytOafsqZ1HdU7Zm+gGclbAM6PiyheQpRuUtaCWCVAe0KsvNZ96hpYtWzJlylTu3LkDwJ07d5g8eQotW7bk2Zq16N+7r/oiNY2cHkUo/7zpV0b2Gs6OHMH85nTSBWiRMyfTYmK5FZKT9wQBS2wsiWvXItZ+lnr16/FlRIRruiE4GJ/JU/CtWQtbp874lSuPdeFCEAQ+jYmh94CuijadTidjXh7PFD+BbvEOPnk2J0/3KsDjfQoyqkEuploFesugPOPbRarPbPGcn+jua+GxeCcDGoeyoUwAE3+7Q4uzcewq4tq/HGWFkrFOlqwLp2K4HUEUaXomjhJ3k2gb62Rzkh3HzJ9o/nRvtq7/3fUE3V6Q8XEJrP7hF/q2HUur5wfTt/WbLFuwiZjouHtPO+1Q1rvQy8iCMbk+vaCssDWh7LGdRwXKekT3kHXs3osuhywYZs6suKrD1/LrdNqnrPS9/+Hr6OhoRo0dw9IVy7BYLITmzk14RASiKNK1Yxe++WwSQTmC3OJ4b0Mrp0dl+FoURWo9WY9vIqNpfPcu9rlzcLZsCRYLwunT2Hr3QTxyhFUOByX3/0mVKlVISkqiUqXHmJqURMvr1xFEEceLLyI4kiA+AeHQIZblz8/r/jb+/PeXe/+5U9vcue0PRrbsywUBvngmmAVVpRXnal5JYMHGCEoD59w+f23cMP735lCPz6x+zQ58EXaW/ME+9GyRhxan4/hixx16NQvlZKiN35Zcx9cJLwCzgixEhFiJ9LPSLMxVB3oVkDvYSt0oB5sCLLSzw4/bZvBYNdeZzsf+Pc2Ajm9S+Go4Q4KslEDkCgKzYxwczxPM9CXvUe2piveedtqGr+W+aRm+vns7hr/2niQ+PoFCxfPw2BOlEAQhQ4avFbYGhmbN4Wsv7TyAw9dTOuxHSwwDGbIHPLM9lDVsM2NO+eq1a6zesJaI2xGE5g6lbas2FCxQQGcO8jYfZChLY6cFyrt/30v/Ru25YrXi+PhjHCNfloa/cBG/ChU45OPD7P79+frrrwD4/fffadOiJSsCA2ly+3aKud3fn/nBwYyJjmLZhkU8VbOG4t6+/nwGVz76hvl2J0/3LECU/LhDUeTXH2+yxCnyeqw071GvD+SN8S8rhnBefKIN0y9dgLw2RjQMZfbmCHwdIr2b5wHg4513aHcqjunA+XIBTDwVhwOI8RU4YxF4KsFJqa75qRtuZ/rPt3nHz8qxVvWYNOstblwLp8XzA3g9JpqxcQ6uBlk4lsdGudtJFItyMCPQwqsWX1bsmELxUoXuPe3MhXLk7WimfLCMLT/txZ6YWoO7WNkCDHy9FfVaPJntoByfkMifv5zkyO9h2BOTyF8shHrtqpG/aIjCNrtDWasddaA/2FD+tt2faEmatj2l2yrpbBhXQPaql7WjtqI6U1Zfy3zVVl8XKliQof0HeRiT15MDsvv2npPa6uuou1EsXbaUX379lYT4eEqVLk3fPn2oVq2ayxf352109TUp3uqrr6WxtVdfo7A9dvQ4z1osWBwOEtu1VT6E4sWgcGGqX71K2N9/p3z8/PPPs2HLFiI7duQK0A9IAvbFx1P5iSqs+vRtajxR9d6dSFeWO51OrPeeY5KnySVBwG4Bq4ev1N98Nht7YhLjPnzFDcoC5SqW5s8LFxl1JZGgRCe54538lyf1NXAlhxW7AANEsJ1yDTFbgUM+Ap1ineSpGYxPoJXfA61sKBPAoIvxVFi1nQ+//h/fzV5NgztRjE1yMunpYOZVDcJhERBEkS7HYnn3j7sc8k1kwdSVjP9i+L2nnXmrr+/cvsvg1p9w5dINQqoFkrNsAFY/gbgbdm4fvcP4QbP538dRtO1TN91XXytsVVZfu+v/2XeOL0avJPJWLAF5fbH4CiRssbNi2h806FCN/uMbYfNVWYUsW30NqXBNz9XXkApBtdXXWu2or9xWX33tysGbbdavvtYjxhZ1ZfHcb2bFVWBHbU40nYqHKHzTaU75/nKQxzE2p7x+w3rKVSzP6Fde4c6dO9h8fVmzZg01a9WiW/fuxMbGunwljhbc/yzV536l3upzysmx9caV2lqtVhLv3b8QF4cnEXPmBODjY8cQzp51fRgbS+3ff6fVzZvMCQnhWo0qtJ7+KZv+3MiGrT+mwFiZg0DlqhXZlujACbTwcHRg1RuJlLzrYHucSJ68oZSvVIZ3P3ktRT/t6/m889qnkm9LPft1ZGqcA8EpMmn7Ha7ksPDktURwOql/Pp7+f0czx99CcWClVUAEvgEaJIlYnstJqNuw+f5CvpROEHHaHdwOj+KHBesY5Qv7C/oyu3oOHMlfiAWBHx4L4pcSfoy0wJqlv5AQn1pLOq1zynJfrYVe0z5cwZWLNyjSLDd5auTAlsOKxWYhqIgfhRvmJlflQL4a9yNXzt/M8jllgFN/X+X9fj+Q5OegZLu8FG+Th6LNQinVJR/5a+Vk+8p/mPrmBkRRVJ9bNXQusnRO2dh8tJHTnrzPXavPR3ufU1bE1ZhTlswFZ9KcspYYX2V9P/AUveg8xJXENqHsWbIxlHf+tpOu3btRp04djh8/zpYtm1m+fBknThxn3ry5bNmyhV69eqX8TpR/tukH5cTERNav3cCUb6cxZ9YCTp8+ozNu6vWztWuyUxRJDAjAOmeu8t7//BPL8eN8ZLVSNjYWv8pV8H2sMn4lSuLzzjt8X6AAXzgdTJvzJd16daJS5QqaOTRoVIfYwvlZFWjhjX13aRwWh8Upgijy+LVEvtx+h+P+Fn4Gtu1dxW8H1jB0ZG8+n/xuyojQ3OnfM3b0hyR3Fl6sX4tSdZ+hvcXCU1cSqHchgTKRDvZ8f4NpW2/zm6+FMQki748aRWNff2IFAV+bhdJd85OrUpAk1xKRSdzxSR1LuBN+l+oJTrYX91M8H4AdxfypEu/EHpfI7fAo2ZPOWChHRcawacVuQioH4JfbpshNEATyPZ0TH18LaxbvUsTKCijP++RnbCFWCjfMjV9oas4Wm4XclYPI/3xOdq8/xqkjVxSx0gvKct+HCcqua/1QVrdNHyjf97YnQ/AE3VBOjq0rrkHYq7ZpQtlDDvI42lB+5913efrpp/n+++8kZTxtNhtdu3Zl3ry5bNi4kd9//z3VVxHt/qAsiiJzZs2jcoUadOvSi48+mMjrr77JE9Vq0a51Zy5cuKgbypUeq0D152sxI0cOfL79Fp/x4+HKFYiPx7JsOb6dOnEpXz4+cjgomJjI0BxBLElM5MsAf0qLIm8H+LJq0xIqVCqn+958fHz4+PN36B3rZLdN4Jtf7/D7khvs+OEGP6wPJ8rupHG8kxFvDKFAoXwkjy707NeRr6Z/kALlRXOW8erw93A6RCwWC/OXfk18nVqUcMDbPgJHbQK5E0ROAf8lwvGnnmbgtGnczRHETFGku9NJiTjp/Fj+GAcdTsbxg5+Vp56tSt4CuQGItQjkkdkmS554J3EW18EaNpuP5srn9ITykT9PkZiQRM6yAR5zA7D4CAQW92XPtn88xspMKF84dZNjBy6Sq2ogFh/PL/ScZQPwC/Fhy5LDHmOZUPZmmzYoa9tKoSw9H1oflPUDWf5/LK3whIyBsoG4jzqUL1+5wgeffsxLLZtQp3EDBgwfwt4/9yn3aKcRyv/8/Tf7D+znlVdG4+PjeZlCq1atqFChArNnz5G2qbBMO5Q//3QSr4x+lUaNGnLgwH5u3brJjRvXmT17FqdOnqFR/eZcunRZN5S/+OpjxifEMyN/fvjmW/zLlMU/dyi+vXvzr8XKEzdv8s7Hb/PbXzsIGNKHtc8/wz8tG/LR8jns/3sHjz9ezfC9tWzTmC8XfEkHawBPAzOtAt8JAs0tAjWSLHQZN4LX35YtMMNCl55tmDp3oqsaG/DDolWMHvwOjiQnOYKD+H71NBZsW8Q/jevyuOBDIwEuhYTQKyQXXLzIhKAgyt28xUfALR+BpWvDGfxXNM9dSqDf39EsX3OLWKfIhBgHfYd2JsAvgCdqVWGVr4XWp+LIFS99YQQlOul4PJY1ARbKVChO3vwugLvv1z1xNIzF09cy5+sV/Lx2N/ZEe7pBOTHh3tyir/orz+JrISE+SfqZDMrptU1LDcrnj98AIKio59EGVy4CAYV9CTt2XRrXhLIybhZA2ZOvluhfZf37hXstyBRqJy+prZIG6YIilVXS2SGu4iGprR7OqNXXnuy9+HpbfT1j3mzGvPU6fn5+NG7cmMDAQHbv3k1YWBgtm7Vg0ax5bpWePOSgI5+ly36kz4B+3Lx5gxw5cij0yTJ69Gj+2L2HP/ftU963wlrvKmnXJydPnuKJGk/z9ttvMW7cOEW0q1ev8sILL1Kz1lMsWDxHZ1wn//7zHyOHvcrZg3/R2t+fYJsPv0ZFcyt/Xt5851X69O9+z1n0GictK8BjYmJZvWIDf+45iMPhpOJj5ejcow1584USGxtHkxc7IgKbf1t2r3SmK+7alVsY1vcNkpJckGndoQmT53yMjy31ZRURfocfFq7kx8VruXzxKgGBATRs9gK9B3Viy/od/PDpHL4IstIxzoG/ExIEWBVo5dUYB42GdmTcJyMRBIENK3/l877vcsgmEBFkZeoTOfgnn40KEUkMPxRF8TtJ1HRA50kj6dqvZcoCnLMnL/L2yC85/ecxGlsFclgE9tmdXAsNZsSb3encr1maT2VK1h3/O4xeDd+hSOPc5Cjmjze5tD6CKhXL8uWS0Tqqg6XPinBPq69/W/8vn41cTtmeBbDKV9e7ybVddwghB1+tG2BsFbLKKur03U7l/RllxuprRVyV1deua9HNVrwPW6Xv1209F2tyF2O1rMH17nD/+1A75EFtlTTgvpJXbZV0dogrXQ0sbUNxnVGrr7XEzTe5p5wCZhGW/rSMUa//jyFDhvD++++R894iJKfTyapVqxk0aBB9hvRn2aIfvOeguG9RAWWbzTXfFRcXpwrk+Ph4bDYfz/eNHMp6V0m7Ppkzey558+bhtddew5MUKlSIV155hbFjx3Lt6jUKFiqoI66FKlUfY9uujRw68Be//bYbu93O6+VK06xFY2y+bv+d3Opfp8cK8KCgQLr37kj33h0lT0bEiSiKnDjmmheXfr+20KpdY3x9bQzs8T/s9iTWrNhMYqKdGQs/x+brgnJonlwM/18/hv+vb4pn8kus2uOVKF+xNBO/ms+Qv0+RD7glQuHixXhlZA/ad2uWcm9N29Tjl02/8+KyrcxOdPL1tjsp8Q4GWKgvQsEmtejYq5krO8HKmVPn6dp4NC8nxjPWCjkcIjhc97AtPoZur80gKjKGAa90VD0AQmv1dYWqJSn7WDGu/nuDoKJ+yq2QQNyNRGKuJdDqwxcVcTy14y73syJcvvoaoHz1IiBA9Pl4QspLvyAni+gUibtsp2bLovfiGKgBrbKKOn3rZrvV486C1deKuCqrr13XbqumVVZfa9vKVmfr7Cnr7iHH7Dov603KDLJZjzYj40oeWFb0lNOwT9nhcPBYzRpUr1GdH35Y4vGFtGzZcnr37s3uX3by1BNPauQgbzP1g0uXL1OhSiW+/HISgwYN8phiQkICZcuWo3Onznzx+ede46a1p1y71vM8+eSTTJs2zWP7ANeuXaNUqdIsXjKf1m1a6IprJAfXB+nbU3b/JFmiY6Ipnf9JAM7eOEhgkHye1Mkvm3+jf7fRKQeLvNTkRWZ//yV+/vIFTu7f+t3344qcORVG+K075A4NoUz5EpKckm0dDgfTv1zM3Kk/kv92FCWAy8CF4EB6DmzDyDf7YHWbE+3Xfiy1//iLz+IdLKgSxOLKgYQHWKl/Pp6x++5y0wlPxjtZfWgWRUsUvK+e8q4thxjT60tyVQwk3zPBkuHruOuJXNsWSYlShZiz8W18fKwe4yifS8bsUwYY12sB//1znqItQj32kiP+jeHm3rtMWtufkhXzu8Uxe8pa+WdFT/nL1nvQEkMD3NL5XJnyAZ5TNhpXwowHZE55+66dnDt/jv/97xWPMAZo374dxYsXZ+6i+TpykLeZ+kHRIkVo3qw5kyZ9yY0bNzy2NWnSJG7dusWgAQNlz0HWpsJT35xyksOBv7/3BTwAgYGunkdSkkN3XCM5uD4QvOrub1uWsbgvNXmRRcunEBDgGq79ZfNv9Ok0kvi4RJmt+/yY+9ypQNnypXn62eqUrVASQRBkc3Sun61WKyNe68PeE2t4fdlEGk4by8glH7H35CrGjB8gWcx1IewKB7Yd5A2Hk6UVA5lYKyeXg32I9xHYWCaAwY1CqRzvpINNYPmCLffy8D7HqDWnXKfJ07zz9UDunoon7MdbXN1xh+t7Irm4LoIL68IpWbowX/8wBl+br9c4yueSMQu9AAaNb4YlycLlTbeJuZSQ8o6yxzi4+eddbu69S6u+NSlTqZAsjoFyk+acsud2MmhOWUsMr7I2oewSQ1B2i5tVUD515jQ2m42nn37aq4vVauXZZ5/l1JnTOnOQt5n6wWcfTyQxIYH69Rvw44/LSEx0vfhPnDjBsGHD+OCDDxn31tuUL19eGSsdoFy+fDl27fpNuYDPTXbu3JliqzeukRxSP8h4KMvFU9w6DWrz3cppKT3onb/+Qc92w4mLke9x9gxlrWv3n/38fGnQ+Hnad29Kw+bPExDor6g1fWjfUWoCeewiP1RSDssey2vjr3w22vgJHNjzb2p2916ml85dY/2yHaz9YQf/Hj7t2o+rsXK7dbf6rNn/Fb2GtaBgQH5yJuSkRtWKfDZ/JPM3vUdo3pye7zMLoFy8bH4+Xz6QAnlzcWlzBGE/3OT8iluE/XiD6JMJdBtdl75vvgS4gGhVBY4JZUXcbAhl43PIyOddkWI9m839ZmRcyTynYm5Vfp0615oVFb38bDaSkpKIj48nIMB7zzEmOho/Xz9pbNUckj+U5lSyRAm2/fwrQ18eRp8+fRg82I/AwEBu375Nvrx5+fKLSQwZNNhrvvc7p9yvXx9atWzL5s2badq0qeI+k5KS+Oqrr3nq6SepWq2K7rjyOWXdtuk8pyx9Mp7FU9znXnyGpWtm0q3tUKKjYtj92590azuU736aRlBwgMQ7+Ylrzo/qnM91PYbUClqOJJHkvmiszfN9xNoEfOMgyZ668vnc6ct8MnYWf2w/LLEtV7kE/3uvN8/Wra6aQ6Gi+RkytiNDxnYE8FpmU1H9KRPOU5Zfl6pYkKmbXubo/nMc/v0M9oQk8hfLxYstqhAY7FqB7e1MZUOVrcw5Zc/tpOOcsh7RP4e885wETiCfd5U5ZMO53yyfU3YFTvUzYHu/c8qnz57hsVqPM3v2LHr06OHRLDw8nDJlyjL+jbd4ddT/jOUg17v5HTt+jF+3bSM+IZ7SpUrTvGkzfP39PNoq48jaVGTted7V6XTStk079u37k2nTptG2bZuULUCXL1/mtddeZ+3ataxZ9xN16r54X/O5ly5dZOG87zny1z8IgsATT9agZ5+uFCpcMFPmlGNiYimVvwYAYTcOExjkL7NVxj20/2+6tB7M3cgoAJ58phpLVs8gOCRIZut5TlnrWusMYlF08NeBYwx+aTiXLTD1yWBmV8+B6BSJvphA/I1E8ic6OXI8jnG+Fk61r89Hk1/h9Mnz9Gj6GnYSyVUtkOCS/ghWgZgrCdz+O5b464l8Mf816jerqZmDdC7YwL1lweprkM8Fq8+XSuaCjcytGqphbc4pG7H9ouUfaIkxIIMJZS++WQ5lua1cBGjeuS2nz51lx47t5M+fX6IWRZFhQ4fxw9KlnPn7GPny5ktjDjrzkftqLGqTLFRTRPIMrujoaPr26cfGjZsoXrw4Tz31FJGRd9ixYycBAQHMmjOdlq2ae/RVi+u6dq1u/viDz/jm069oa7XQ0N/F280JsNYp8vo7rzHm9ZHKeQpR5OaNWxw/dhLBApWrVCJX7pA05QAQGxvHC0+6Vi7vOriBwMAAXbD/+/B/dG41kNsRkQBUf6IyS9fOJCR3sMw2Y6DsdCbR/Ln+vHHuAt0SnIyqEsSCU7EUixXpYRPonSSSR4RSQOdXu/Dymz3p1uR/nDgTRtFmubH6S184olPk6vY7OG7C1n/mEJQjwISyTtuMgLIihyyAsqIdrYVqEtv0hXLGABlMKHvxzUgoOxwOVw/vPqB89nwYdVo0JCAwkLFj36BDhw4EBASwe/duvpz0JZu3bGH25On06trjPr8Y6MtH4ZtOUHbpUy0OHNjPwoWLCQsLI8A/gAYv1adrt87kzJnTUC9Vrv9s4iQWT/iUX/wEyiWInMztgyBCuTtJ/Ocv0DBeZOgn7zBi1JCUdk6fOssnH3zButWbUvYG+/v707ZDC958538UKVo43VZf67m3o38fp2PLgUTcug1AlWoVWbpuFqF5Q7zGTU8o//brXka0H8tyX2iWIBIjQJAonQnZGmChc5yTLq91ZfrnP1C4QS6CS3medrFHOwj78QZvfjqQTn2b6MrBhLKynayAsjyWGpTl7WQFlF22oi5bpyimL5Cjd4Spw8mEMpC+UD787xGmzpvFyg1riYqOIk9oKF3bdmJYv0GUK11GxVcdyqPfeo0tv25NmS8XRZHyZcvx4Tvv0bp5K135PmhQVgOXXK8HyqdOnqbWE89zACc5BYFeRXy5UCMH/vlsVL1l59tfbnPVCS/gy/Gwv8iZM5h//v6XVk07E5IzhBEjRtC4cSMcDgfr1q1n2rRpCILI+q3LKVmquKEvBu7FQ1YtX8/61Vu4GxlFvgJ56dClJY2b10vZG+4p7vH/TtOxeX9u3ggHoEKlsizfMJu8BUK9PrP0hPLGVb8yqu8ENvsK1E8UOVzAlw2l/NlQ1p/nLyUy/o9IjloE6iWCaIEyPfMr/8+6yaWNETz75BN8Me9V3TmYUFa2Y0JZ2YbrOm1Q/qzFbrTEEJBBA07yl6k7mLMCnjK9WlyFPouhPHfJIoaNHU2RIkXo1asnRYsW5dSp0yxetIjomBiWzlpIs5cae/SVx3UXu93Ojt2/cfT4f1y6cpkypUpTuVJlnn/2Odc9pusQunY+Hn0zAco3btzk7t1I8ubNQ65cuRR6NSAu+f5HXh42mvpOkc0OB+/Xr8+cUye4dPEywSUDKFgnJy9etzNncwTPC9D+m4n06tuNZ2rUIWdwCJs2bUxpM1muXbvGSy81JDRvCJu3rdTMQa7/c99B+nQeRsmb4bxVpAiFrVZOJCbywbVriOVL8/3KGZQsVcxr3NMnw+jQrD/Xrrq2qZWtUIrlG+ZQoFBemW3aoCy/dofPr5t2M7HLW5wGJtTOydLHpPPYdS7EM/Pn2zwP7PO3UqaHdLpFLpd+jqBqqYrM+ul9Y0PoJpQV7ZhQVrbhujYOZT1Avs9tT6J3HUjfH1pbjNxrTafX1iWZXi2uQn8f+Ur4IX/3Ka7dVtDe+/G3Pb8z9I1R9O/fj//+O8q4cePo06cPH330ISdOnqBBgwZ0HtiLk27bkzwdf+guTqeTL6Z8TdknK9O8c1tef/dtvp05jfc//YhfdvyaMnxqJF+5ztCWLpmobulSiavEvMq2IlFg1arVNGzQmNIly1Kj2pMUL1qaLp27s2fPXsm2Im/bkdav3ciQgSPo2rUby14ZjZgvH2+sX8fxY8dZvHgx9usi13be5ffCNqJtAnUCfDhx/BS/bt3B2TNhfPPN1woYAxQsWJCJEz9h/75DHD70t2oO8hz//fsYLV/qSs7bkewEWlssPFmuHD3sdk4IAn0iIunYvB93bkd6jVu2fClW/7yAIsVce1pPnwijXeO+XLkk30ee6utehzr5WhJV5/afvw8ep5mfBacAqz1UpfqtmB83Ayy09LOQFO8g4bZdYZMsokMk7noie3ceYXCHdzm897j3fFW3MqXtXjzZplc9buWWI/3bffRuiZK3o7YlSpnD/Wyn8r61SW1LlLwd7e1U7ic4af2O3W29b3Ny2Qq6bdUkTac9ZQiUZXotKOuGp4G4Cv19xFVAWZRdSwOn+okwaeZkqlWtytdff604nCEgIIBFixaSMziYqXNnStv0ElcURYaOGcnbH75L85bN2bt3D+Hht/jrr8P07NWLSVO+oXPf7g81lEVR5O23x9Gze298fX2ZN28emzdvYtKkLwg7G0bjhs1Y8v0PqlAWRYH33v2QRo0aMWPGdAJCckF8PNjtWK1WOnRoz9w5c4k6F4d41Y7NKZIgithsPmzZ+Avly5dT3QfetGlT8uQJZcvGX73m4Onepn4zB6fTyZmkJBI++5SEY/9hX7+OhNOncIwezdu3wql05TrfzV+hGrdk6eKs2rKAYiWKABB25gLtGvfh0vmrMlv5y+j+oOx0OrEIrrOXHR7eXcmfW30EbH4+3P4nRml0TyJPx+FMEMn7ZA7+Onqc/q3HsXWNtEKSCWUTyt5zyFooGzjtSaPH6E0HGQJlhT4bxlX8CnRAOeL2bTb9+jMDBw30Wv80ICCAXr178/1PP6qf0HQv7tpNG5i/ZBGzZs1k8uTJVK9encDAQCpUqMDEiZ+wYsVyNm3dwtyF81Ty85yvJ112hPKK5Sv45utv+eKLL9i8eTNdu3ahTp06DBkyhH379tGzZ0+GDhnBv/8e9QrlPX/s5eSJU4wZ8z8EQcDZvBlCVBTWH39MsWnTpjXFSxanxYEobA5YFeeg1rPPEBMbS968eb1WSQNXYZbcuXMTGxOnq7cOEHU3inUrN6ZcO/r1g3vbu/D3J+mjD3FWr8ZHBfKzeP4yzbjFSxRh9c8LKFWmOAAXzl2mTaM+nDtzSWabflCuVLUsW+Md2ERocjYOuTx9LZGCsU5+iXNQt2FNIk/GcfNAFM4k6f+9u6fjuPFHJDnLBpDn8WCKtcxNjtL+vDn0K65fjlDNwZtOEKyKgiZpieOKZUJZkcMjBGU9YszjQYeyN7/7jZuOUL4ZcQtRFKlQoYLHvJOlYsUKRN6NJCEhQROI0+fPolatWl73Hzdq1IhWrVoxff5scJ//eACgfP7cedavX8/GjRu5euWKLFLqn/fkyVN56aWXGD58mKI9q9XK5Mnfkj9/fmbNdJ385Alcp066pgiee+45VyqVKuHo2BGfkaOwfjsZbt7EcvMmn4Xm5eObdr4PtBJbuABNmjWkaJHCnDhxgvh4eVWsVAkPD+fixUsUKVqIpKQk9u7ez6YNW9n/5yHl3+u9/K5cvoYt0fsQLoKAs3lzKkZFc+7sBRwOhyaUixQtxKotCyhXoZSrjUvXaNe4L2dOnpcHl3qmEcqNmtfhet4QNgRaGLfnLg3OxWNxiiCKPHMlgc923OEvfwvbrVYmfP0Ko8f14faRGM4tvcnVHXe49tsdwpa7fs5R3J8Cz4e4srMIFHguJ1hgxaKf7xOmJpRNKCvbcF2nH5SNI/xBhrKBMpsKySQo5wp2le67dOmySjKu4hb+/v74+fl5jJMMtaSkJLbv2knnzp1U43Xp0pljJ45z5dpV6ZnK2RTK//zzD23btaVS5cfo2KkT7Tt0oHyFCnTr1o2zZ8+6GVu4cOECBw8epG/fvl7bs9ls9OzZg1UrV6XmIAOXzTf1FKtksc+aiaNrF3zefhv/4iXwL1mKdocPM89qYXCCyIxZk/Hx8aVL9w6Eh0fwo1tvWi7z5s1DFEUibkVQo1JtmjfqSI9OA2lSrx3PVK/HgjnfK05zsvnakFejVkh4BIk+Pvj4+KS8ILSgXLBQflZumk/Fx1xlRa9dvUG7xn05+d9Zme39Q9nX18a7n46mW6yTQ1aBqb/c5vclN/jthxss2hjBdQc0j3fy8lt9CM0TwtAx3dlycB4Nm7/A3TNxxN20E1DIl+Kt8lCofi4sbodXWGwWgkr48vPa3Zo5pSeU1WBqQtlDDiaUXba6Ld3lQYdyFiwg0wvlAvnyU/vpmixcuEDukdqM08nChYto26yV6gIyQYTExEREUSQkJMRrPCBFn9yDy85Q/nP/n9R/qQHnzp9n+vRpnD17hlOnTvLFF59z+PBh6taty4kTJ1Lsb99bzFSsWFHV9ooXL86dO5GS36s7uJ57rjaCILBiRepcLP7+JE2bRsLJEyQuWkTkrJmU8/NjXEgIP65fRt36LwJQrnx52nVoxZgxr7J161bpIxFFVqz4iQ8++JDiJYry5RdTady4Cbt2/ca5c2Fs3bqVp596hldHjWPc6x9I8itRsgT5irodLpCQIL2pmzexLlvGepuN516sKRky14JyvgJ5+WnTPKpUq+gKdSOcdk378d/fp2S29w/lVh0aMn7G27Sw+FILmGkVWCAINLLAM04L3d8fxODR3VLvu1RRWrSvCyIUaxpKoRdzEZDf1+OUgE+glZjo1C9RGQXlO+ExfD91M+8Nm817w2ezYs52ou7EeIljQlmRgwll/UC+r4MZshuUDcRNzwVkeqE8qt9QduzYyZQpU+UeiKLI2LFvEhYWxvC+g5I/lMZxuwz0D6Bg/gLs26d+OPa+ffsICHDZpuSbAVBOSkrizu07bgvIjEE5KSmJHr16UqVKFX7/fRe9e/emUKFCFC1alCFDhrB79+/ky5eP/v36pfxu8uZ1bd05ffq0hxZS5eTJU+TNl1dxWEAyuEqWLEHjJo2YOPFTrl+/LnUuVAhHh/a89dcRLtnt7Nq7jTp1XpSYTJ7+FTWffYpWrVrz4ot1+Pjjj/nggw+oWbMmPXv2pGq1ypw+dZbFixczbdo0nnrqKQoUKMDzzz/HwoUL+frrr5g5bT6/btmZEtNqtdKzT5eUa9/2HbBs3w5Xr2JZvRrfxk2IdzgYe+0a/QZ3R/5XqAXlPHlzs3zDXKo/URmAiFu36dCsH38fPiaxdDicxMXFpzzztEC5Xdem7Du5lpZfj+FQ28b82aYhz3w0gj9OrGDQqC6KE6YKFnZtf0qISEJNEu8kUaBQHl05uO7aGJRFUWTR5A20fmIMMz5dxR9/HuGPvUeY/P4y2jz+BqsX/eYljhQaqs/MhLIi1oMGZT2iex9y1C9nXA73U0QjrfuUZfp020+cRXEVD1yQ/iyKImM/fpdJMydTv349+vbtd28f8klmzZrNgQMH+PqDzxjeT3bWsJf9u+9++iGT587g33//UZTMBFeJyRo1HqdRnQbM/GqKh/3F3vce692nfOivw3w7fSor16wiISEBX19f2rRqzcvDhvP0k0/p3qe8dt06Onfrwh9/7Obxxx/3aLt582batm3Hzh07ePqZZwBo0qQJdrudX3/9xWMvKjY2lnLlytO9Rzc+mfhRcqvSHHBy/vwFGtRtTEBAAG+99SYdOnTA39+f/fv389VXX7N69Wq++HIiA4f0k/gli8PhYPPGLcybvYh///nPVfv6qRr0HdCT99/5mOLFSvLTTyvwJs899zyheXPy46oFKfuJI8Jv81jpZxCSkjiRJw+lwsNT7M8ULEir69ep2q0N386c6HbvyntL/Vn+F+rkbmQU3doO4cC+IwDkDAnm+1XTCA+PYN6MH/h9+z6cTpHQvLno0bc9fQd3oUChfOr7gA3s7fW0L1gURZrV6s/NhJsUeimXx9+rPSqJsGU3efuzIXTu14z0PL84OafFUzYw5cNlhFYLIrRajpSSnkmxDm4diibyeCyvf96Dlt2f9xLHe05G9k5nxT5ll95IDWt9e5wfxn3KHzf5DS0xDGQwoZwecfVAecX61Xw9dzr7Du1PUb30Qj3GDB3JSy/W85ifJyhfu3Gdp156noKFCrLkhyWULl06RX3lyhX69u3H4UOH+WPLDiqULecxrugF9po5CLD4h+8Z/PIwihcvTt++fShdugxhYWEsWLCAsLAwpnz9Lf169/GcvyQHeHnUSHbv+YNDhw56tXM6nZQsWYqBAwbwzjvvALBp82batWvHmDFj+OCDCZLfVVxcHD179mLbtm3s2/+H5Pl4Ate5c+cZM/o1fv7ZBXcfHx/sdjslShRn3Ltv0rlLh3u2osRPlqXk6urVa1Qq8wTfffcd7du383pv06ZN59VXX+XanVP4+PiktBEbG8f74z7hh0XLeSwunsKCwGlR5GpoLgYP78Mrrw9DUIyHGYNydFQMPToMZ+/vBwCw2XwIticxLtBKe4eTHA7411dgciL8mjMHP66fRZXqFTMUyutXbGPMwE/I83gO8jyeQ/L/zB7j4OrPdwj2zcHaPdMICg68Fyf9oHwnIpLm1UeRo4If+WvmRC6iKHJ9VySO67D60Kf4Bfh6jJMZUHbpvQNHAVMjcMoAKMt9H3Qof9h4J1qi//hFkZQX730dYeiuAyTHN2rapurVjlhU6LNhXAHZ69C9HdEF944t29KxZVsuXb3Mnbt3yZcnLwXy5U8x95Sfp+MbC+YvwKYfV9OyeweqVKnKSw0aULZcOS5evMjmzZsJzpGDNd8vT4Wxh7iCKEqhLMvXWw4HDh5k8MvD6NmjB1OmTkk5cQnglVdGM2bMGIaPepmKFSpQu9azyvzdRBAhNi6W3Llze9Qni8ViIWfOnMS6Lb5q2qQJEydOZOzYsaxfv56ePXtSuHBhjh8/xoIFC4mKiuK77xdTpnTZe7eU/J9L+psSsFCyZAl+Wr2Ms2fD+G3nLhISEihTtgx1672I1er+O049/lDt6EaA+DjX3H2ePPJylVLJnTs3oiiSkJCIj49PShuBgQF8+uUE3hr/Kr9u3U5kZBQdCuSlfsM6+Pn7SmKo3VuyztPRjTmCg/h+5TT6dBrJrh17sduTiAPKJjr4rXwgNwKtvHApgeXXEpkUF0O3NsPY8896gnIEprzILIKBoxxVjm5Mtm3RoT6XL1znyw/mEX02gaBSflj9BBJuJRF9Lp7QvLmYveIjgoODU2Kl51GJm5bvweFwEFpNfkpWcs4CodVzELb8Jjs3/EWjDs94jKOWkyI/lZwUtmrHH8p0iqMTVWyV7Rg5gtH7sYpqvoqjEt3iJA9Bpx7B6D0/uU557KOB+5bYej+OUa/o7yFvvddDTq8eo9lTBrR7yrLAUl8DtgiuYdkf1/zEkpXLuHnrFrlz5aJ9izb06NyVkJxeFn3dZ0+516B+HDh8kCNH/pLAOFmcTidPPfU0FcqVZ+ni773nf0/e//ADps+awZkzpwkMVFZ1Arhx4wZly5bjs08/ZciQIRLdH3v2MG3aNNauXYvdbidnzpx07dqFoUOHUK58OYmtFKDee5Oua3e9+qEOUl/Xz9HRMZQpVoV33nmHMWP+5/G+AF577XV+WLqEk+cOK1bMpT0HY/cWFRVN5RIvkJjg2m5lsULhhqEEFXWt+O/7dzRv/BnFs0Dbb8fRs79rxCAje8p/HzrB97PXsG3LHhLiEilYNC+dezWnTfcGhOQK9hgrPXrKH4yaxbbt+yjaUv2L1IWfwmnbpR7D3+mgWh7T7Clr+6r1lEF+BKP3/OR6tZ6yMgctW/dn5vr/k7495GRJrx6jVk8ZVGwfnZ6yWu9XEN2grKOnHBgYSN+uPenbtaey7rQ3uY+ecmJCAqvWrmb8+PEeYQyub5X9+vVj7NixxMTEEBQU5Dn/e9KjW3cmfv4p3333HYMGDVLoAWbOnInVaqVTx06KnGo/+yzPPvssTqeT+Ph4AgL8JL8rd/hIe7Xee5Oua/cepbT3K+9tSn1dtjlyBNGmfUvmzJnDsGFDCQhQnmZ0+/ZtvvtuMb36dr2Xs4CIazFV57a9AVi6agEBAf4GczB2b0cO/Ue+BDuPA+sBpwMub42gcIPc5Cjuz4KqQXQ9FssQJ0xZsi4FyKo9ufvsKVd7ogLVpr8OqIPVPVZ69JQtVovWukTA9f8+ecGPe6wHoacsOmD/9pMc2HaahDg7eQrmoE6bKhQrlzfb9ZRB2uNVy0+uV+spK3Pw3lOWt2Okp5y2bU/ptbpZbfW1pq10NbMkh/TKLwNXdbv7KrAjyn6WrTR2F0FuK03Ca1yt2tde8wHp6mu53u3nu1F3SUxMpEyZ0qhJ2bJlcDgc3LkTqZlTmdKl6d61G2+8MZZVq1ZLnrPT6WTBggVMnPgpw4cNJzQ01HP+uP7DBAYGKsojylcaC5L/Imo6ua+aTu7r+nnUK8O4fv06Xbp0JSJCWlnq6tWrtG3bDsFiYcCQPpI4TqeT3bv2sXvXPtnfrJEc9N9b+K3blAB+AgoWdg2Hiw64/Mttos7HIwoC/+SzURKRG9dvSeLIVxLrXY0tX/msVtbSyDYiQbDo3oLkaX9xlSfLEnszgcQo7yu942/ZiY+0U+XJMh5zUFt9rXlvKivC1VZfu/TeVxYnr3w+/c9VhjaYxufDV7F3xwmOHAlj89LDvNpqAZ+PWE18TKLq6ma11deKfA2t3Pb+jEC6ilprlbf6ym3vK8/VVl/L29FbOlN3DznDeoxqPWVNW1k77jlo5QdZ2gOX+6r2lOXX99lTTtZL/DzZquSjp6ccnCMYq9XKhQsXPce8J+fPn0cQBEJy5tTOH5jy9bfcjYqiW7duVKpUicaNG+NwOFi/fj1hYWH07dOH9999Tz1/3J93xvUmjfSUH6tckSXL5tGz6wDKlCnrKsNZvDinTp1m3bp1hOTKybJVCylarIjky4oneKYtB333FhKSk6uAL9CxXAAL/C1EnY0HJ1z55TaF6+Wi3O0kDgO5Q0MUcVV7ohq9VMCth6vsKevugSt63ak9UyO+Tds9z9fvfkf4gWgK1g1RTFeJTpHwg1HkKRDCcw1rSHTZvad85XQE7/b6HksOgRJt8uKf994Rng6Ru2fjOLzrLJ8NX8Xbczpi9TF7yp5tLYphcjXRPYd8d4trD2eGza2qzSlr2srascjevN50BuJmizll+bXanLKGreRLhcJP5ducTOUO5b379zFj/hx27/0DR1ISFStUJDo6irsx0Rw4sN/j5nhRFHni8ScQRWjdsiWFChSkQ7v25MuXTzUnURTZ8dtOZs2dw9///I1FsPDUU08yaMAgatZ0K4Ch9kyQP2/98652eyLht8Lx8/cnd+5c6TqnfPPGLRYv/IFVP63j9u3b5MuXl05d29G1e0dyus2HJkM5JiaWYvldxTsu3PiPoKDA+8xBfU45PiGB6mVeZENCNHn8LHRtHsqZvVHcPe1aRCcAi4GFFqj90RgGj+zlMa7qnK3WHLNkLji94uifU3b33bxyN+OGTCG4pD+hj+fAP48NURSJv2kn4lAMsVcS+GLRKJ5tUE0zB7k+K+eUPx2xgkP7zlCsVShWX+X/3ZjLCVzaFMGrk1vz9EvlvLRjzikntzOh4Q60xDCQ4dGFsqG4jxCUncD/3nqdaXNmULp0adq0aYO/vx/bt+9gzx7XSTsvv/wyn346UfIcrl69yksvNeTs2bMEBQURGhqaUnCjb+8+fP7xRHx93VYIa2yJ8pp/OkL53PkwJn87lSXf/8Ddu3cBeOKJxxk0eABdu3eWfOm434VeumxF0SuQ7y8HdSh/9tFkfv1kGjusAlH+Fn6oGMDiSwn8c8210EsAbH42/jq9nVyhwZJI7vKwQPmXtXv57K35RNy4i1+wDdEpkhiTRIEiobz5eV+erV8tzTDNCiiHX4+k//PfkLdmMLkre15BDnBxXThlyhRk3NzU0rwmlD3bvtdgG1qiH8ibTmVOj9GEMqABZQ14ZjaUJ379xf/ZO+u4tpanjX+T4BSou7u7u1GntLTU3d29t3Lr7ka91N2g7m7U3YUKVsGJnfePQEhOBNLSe3t/L3M//VySnX129iQ5z9nZmVkmzpjCwoUL6NWrlx4pXbp0iaZN3YmKiqJE8eJ0696N3Llz8+jRI6ZMmYqDgwNz5szGw8MDW1tbQkJC2LBhI1OnTqW+az12bN6qHxD2L5Ky3y0/3N2bY2Ulo0uXLlSoUIHQ0DB27NjBiRMnaO7RjPUbV+sdmZlYQlQoFJw+dYaP/p9wcHSgdp3qpM+Qzqiu5nU8VkR4hJaQPwQ+xcHRzuQ4SUXKSqWSbu0H8c7nLH87ynCP1JzW1FEK23Qg5iydSMdunmZx/wlSThA3CaKvlQol50/c4sXD9yCBIqXyUKFmEWQyqfG+fzAp37vyhgkdvcnlmQ4bF9M7m8G3w1C8VbHmcn+TY2rGSSblpCdkSCZlS3H/BFJOiGgN3NBmdEX9IiMjyVmiIO07tGfevLlG1Q4ePEibNm2pUrEyV65f1QZipUiRgmvXrpInTx6DPkeOHKFFi5Zs37SF5s2ambfflO1i3V8g5bDwMIoWLU6unLk4ePAAKVOm1Gs/dOgQ7dq1Z9ToEYz7a7QI1zQhqgU1q1etY8HcxXz5EqDdc7K2tqZ5y6bMnjuFVKlTGcGJJ8iIiEiypdOcDvYh8CmOjg4IqHn18g07t+3j08fPOKZwoGFjV6rVrIx45+BnSVmlUrF5wy7WrNjM62dvsAGU1jJy5cnBi6evtXrT54+lW592/xOkrFaruXr2Htcv3kchV5AjT2bqt6iEk4ujga4xmyyZi7g9qQqaJIaUH15/y7h2m8jZIi22qawxJUG3wlD5q1l7eWBySpQp3FjdxBDyL5329NuikJMo+trABnP2/S5c8WEWv/k8ZW1fsa5gWtcwitqMrqjfoaO+fP/x3eixhnHSpEkTcuTIQaGCBQl87c+D67dJ6ZKSHj16GCVjgEaNGlGpUiW81q1JcK4mbRfrGrSJ+uq90v9p7Ni+k5DgEDZv3mxAxgBNmzalT58+rF69lpho/fOXzEVfT500g1HDx1G/fn1u3LhOeHgYHz/6M336dE6fOEvj+i200efGoqRjYmLYv+cQUqkUiURC9Yr1GTpwDJ7unaheohZBC1ZQ8sABUm3cykC3jlQqXZenj1+KcAxxTV0V3TaZTEaXHm256OeD34uznL1/lGf+V7lw6yD9hnTV6o0fPpNVSzaZxTUb3WxR1HTi6mYnjGMYfX33xlOalOtH/zbT2LXlGAf3nWH2uPXUL9qXNfP2Gq3jLbbJkprV4nZz0dcGc/vF6OucBTNgbSsj/J3osBIdEQSByPcxFCid1QROcvS1MV1z8sunPSWTctLi/kxKVGhYKCu919K2b1c8e3Xkr9lTefP+rWUnLf0kKX/46E+qVKnIlSuXSR2ZTEbx4sX54O+Ps5MzMTExfP/xnaZNm5rsAxqSu3HrplH7/ilSFgSBa9eusWqVF66udcmePZvJcbt370ZIcAjnz11IVEqU3607zJ+3mOnTp7Nq1SqKFSumqeyUOjUDBw7g1KlTfPT/zIypc43ifPkcgGv1pgzqO5IaNaozevQo6rk2YNuW3QhnLuBvJWGTQkUHQc0UhYp3Eujy8T1NXD15+8bfjH2JJ2XQ3HAyZc5Arjw5cEyRAolEwoRpwxg6urdW5++x81gyd+1/ipQ1WBp7H95+QS+PyfxQhJLdLQ3ZW6YmW/PU5G6TjhQFbPCas4fl0+KP1jRHypba8LtIWZ/09HWdUzpSw60YoU+iUEbor/jiJOxVNNFfFTRsV8YkTjIpG9c1JUly2lMyKf9eXHOkvPPQXrKXL8KQSWP4/D2IcEUUq7asI3/VUgyaMBKVQmmyb1KQsqODAxEREXpnBBuTkJAQHGKLXaiUmh+4lZXxYiFxYm1tjUqlczP4h0l59+7dlCpVhtq16/Ly5Uty5TKfTx33UBKXQ5wQKa9dvZ7s2bMzePAgo3gFCxakd+9e7Ni6m/DwCD0cpVJJa49OhAR/48qVyxw5coRJkyZRs2YNssoVHJbA0/TW1PdMR+22GajaPgNeJVPwV6SKttERzJm+CPHPPylzsCUSCaMnDmTUhAHad2dOXsy86SvM7qf8qaQ8Y+xqZM4SMtdPhX2G+GMerRxkpCvvTNpyTmxcehD/14Emcf80UjbQFRFOh2F1cHS0w//IV8LeRGnvScooFcG3w/hy4TvVmhahWKUcWHRa0j9EylIz+eViUjY3TlKRcmLEohVyMin/e7jGSPnQiSN0GNSTJm6NefbsKSdPnuDQ4UO8evWSWbNm4bV5PYMnjv6tK+X6dVyRy+X6ZwSL5NWrV1y5coXG9RsCkDtXLuzt7Tl9+rTJPgCnTp6kaOEilhU/MWW7WDcBUl62bBmdO3cmf/78nDhxnAoVKvD69WvMSVx7mjRp420wQ1wXzl+iRYsWJquYAXh6ehIaGsa9uw/13j/me4r79x6yfft2vVOvVnl5MdRRhtxKwgDXVLyLDcgJt5GytIwTvrntGCmoObDnMF9DvvE7SRlg2Jg+/DU1vhTo/BkrmTl5yX+KlJ89fMNDvxekKuGI1Mp4/EKqIo5Y28vYs/FkAkU//juknDajM/P29CB3vkx8Ov2d11sDebs7mNc7gvjxMIqmXSsycFYT7cOJmJQTewSjTCJL4AhGfbK0jNAtOYIx8aQsM7ci/wVStrh0prmDJf6niof8gbgS4nlDrVYzavoE6terx7p16/S+QA4ODgwaNBCZTMaIESMY3KMv+XPnFRUB0bHRTPEQQFR4RF83T87cNKxbn8mT/6Z69RrkyJEdXYmKimLQoEGkTZOGlk01pxg5OznTpkUrvLxW06NHD+15xbri5+fH8RMnWLVkuREb9O1L6EAKk8VP4i6mCPf58+eMHj2aIUOGMGPGdCQSCW3btmHAgIG8ffuWnDlzGh1rzZq1pE2Xlho1q6P7aZkqsCGXK/RSlIxJihQpAFDIFYCUN6/fsmPbLrZt2UXZsmWpUKE80dHRtG3bFoA7d+6wTC1wMqcdUdaGz9uH89rT+HU0GVHy4vkrKlQqC7+1MAoMGNYNGxtrJo6eDcDSeWtRyBVMnDFc56lJ90PQ3Mh+pniIZlTd8pimi4ckiBuL8/COJqA1RXZb8eWM17WSYJfZmge3XxjYYFj0w4KCJmaKfiTlIRn6xTniC19kyJqKubt68OrJZ26eeU5MpJw0mZyp0rAQTiljPV5mC2OYKaJhpghI0h5moVP8RGK6eIjhdTBdPETcN6F5J1YscFmrdf7+81fKevoJrWgFE20J2vDvrZTPXLnAy7evGTlqlNGCG6DZ00ybJg1rtm7U9P1NK+WV85dga21DtapVmTlzJs+ePePdu3ds3LiRalWrcfXqNbat26ypzxzbdcywkaiUSho1asSNGze010ClUnHgwAHc3ZtRtlQZ2rSMz2/8LStlMZYAq9esIU2aNEyePAmJRMLjx4/58eMHKVI40qSJmzZXWlf27dvP6tWr6dOnN7a2cTdunQh6I6vJvPnycOXKFZN2A1y+fBmATJkz0rNrP0oVrYjXivV8//aDMmU0e3cqlYpjx45z7NhxJBIJakBm4nJIhfgp6z/Zm18pR0ZE8/rlWz76fza4fOZXyhrsXgM6MnPhX9p3Vi3ZxF8jZiKIf8c6fRNa0SY+QOvXVsqCIBhxUZmS+Ivzv7JSBshTKBOt+lWj44g6NGpfDpfUKbRtBqtUS/ZWzbihk9b1nfQrZXFfc/NOrFjosk48Kf+WKGQDosWkrgGWOfIU2ZgQeVpE9ubG/AVSfvTsCfb29lSqVBFTYmdnR9Vq1Xj49HF8399AypkzZuKCzyncGjRh3rz5lCxZioIFC9G3bz/evn2HXC6nTdf29B02kAePHoIAObPn4MSBI0RFRlGjRk3KlClL48aNKVCgIG3btqNksRIc2r0PO1s7ozaEhoby5s1bQr6GmLbflO0JzPX06dN4eDTn/fv31KtXnzJlyvL331OQSKS8evWKfPny06SJGwcOHGDz5s00atSI9u3b06JlC0aNGikeWeev+J+bUqmkTJlSnDlzlokTJ/Ly5UvEIpfLWbp0GbXq1GDcqEn4Hj7GsmVLef36FYUKFeKr7txjpUzp0pyUSHB9G00KuegHIgh4PI/kmZ2EQFtrChTMa8TNHG+jBAkvnr1iUJ8xFMxWllol6lG2QA2qlW3EulVbUCp1Vn2JIOWuvdowf/lkrUdo/artjB489adJWfw6IVIWRzsnFqdwsXwgQIS/6YhjtUog5ouSwiXymrThv07K5ggnmZQNxzBmQ0JicZR1YknZoD0pyelfJmWLcH8TKVvJZKhUKv2gJyMij4nRK0wAv4eUM6RPz6r5S3h79ylz/56Bg4MDzs7OdOzUkfnz59GjZw+OnT5B+dpVWL95IwhQuGAh7l/x48D2PVQsXY5UTilp1rgpV09f4Mi+Q6ROZXg4xNXr12jdoS2ZcmWjUMmiZMmVg3pNGnLY18e4/WbnbXyu0dHRqFRq6tSpy5cvX/D29iYwMICAgC/cvHkDT09PTp8+Tdu27ejVqzeRkVGsW7+W9evXIpPJDMhJTMpbNm+jaKGSLFm8HBsbG+bPX0CxYsVxc2vKu3fvAE0Vs3bt2vPkyROqV6/K6VNn2bFjO927d8fe3p4GDerj63uE79+/643UvXt3FkWqUKthzbGvFAnWVM5KG6li3LVQ6r6LYZYgpWWb5rikdIm1yZA8Aa5evkn9as3JdfgUH5yciARiZDLWh0WzfeR0Orfuh1yu0Jub/qwNcdt3aclir2nam9yW9XsY1nciapX4w0l6UgbDFKTE4BQtlY9CxXPz7V6kETs18uNJJPIIJZ5d6pu14XeSsiWHZJhqM9BNJmWj9v0uUk50YZDvh5/qd9Qx0FyBDYN2c0U0RH0TLM6h226meIihrhn7RDYmOLffgJuYoiR+D+5S3q0Wu3btxM3NDWPy7ds38uTJy9gBwxg3cITBPuvPVvQy6Kuj++7De0rXrES58mXZvn07zs7O2jalUsnw4cNZs2YtR/cepla1GoauQDM2bN6xlV4D+lKwYAF69OhBgQIF+PTpExs2bOTKlSuMGj6CKRMnG7fflO1GdBs1acz9B/dxcXHhwoXzpEmTxgBjwoSJzJs3jx07ttO0qeb6my+woXln2dLljBk9Hk/PlgwdOpRSpUoRFRXF3r17mTJlKl+/fqVs2bJcvnwZe3s71m9azYrlXkSGR3Pu3Fkt0ufPnylUqDAeHh4sWrSQDBkyAhAYGED37t0JOuLLThlklwuEWUtwUArIJTDRRoZ3ytScuehLpszpRdbF2x/6I5QyRaqz2daeRgEBqD08UDVqiORLALJ161B//kQ1hZIKQ7oz/u/h6D41ma/rDaDmwO4j9O8+VvtA2bxVI5asmY7MSvxDju+bYFENC6pXWVSsQ1Dhd+0R3ZqNxS6DNWnKaepVA6ii1Xx7HEHInXDa9mjE6BndE2WDueIhls4lrl2pUHHp+D1OH7jFt69hpEztRK2mpahavxhW1jJDXDPFQwx0LSiMYe48ZbFuQsU5VGZt+JXCIzq1u80UDxG3myseIu4rnve4GkdISBJPyAceg3illUzKvw03MaRcsVldFIKSU6dPxZ8jHCuCIDBq1Gi8vLx4c/UBGdNniAPW10tiUh47dSLrtmzk+fNnODk5IRa1Wk21atVJ45Ian137jeIas+HBo4dUqFmFTh07snTZUoPI5IULFzFu3Di2bdqMR7Pmxu03ZbtId9ny5YwcPRIvr1V06tQJYxIREUHOnLno06cPU6ZMjsc1Q8rv3r2jWJGSDBo0SBsspisBAQFUqVIVuTyGEaOH0a59a1xcnMmZrQCDBg5k9Gj9CmC7du2ma9eulClThps3NfnaV65cZs+ePSxdtgy1XEEjmZSitlKClAK75Spyly3Buo3LyJkrh4F9uvavXrGBk2Omc0alQrFqJarOneOVwsOxqV+f958+UyomirvPL+DgYI+lpOxz4CR9Oo9EqdSk5rl51GP5+lla8tDtre1lhDSio6K5fvkOoaHhpMuQmjIViiGTyZKclK9duMfoPnMJDviGfWpbpNYSokPkgITO/dwZ9FcHAzfMP0XKb158ZFSH5Xz58BWHDDbIUkhRhQtEBsSQIWsqZnn3Jke+jIa4yaRsFOd3kHLSEzIkk/IfhHvn8X1qtW5C/gL5mTx5EnXq1EEqlfLkyRPmz5/P1q3bWDh5FgO79jZLtElJytmL5cOjZQvmz5+HKfH29qZ37z68e/iSjBniHhTM29Bn8ABOnDnJkyePsbY2XsqvYcOGxETLOXv8pGn7Tdmuo+u92ZveffsQGBhg9KEiTrp06cr79+9j07d0tnJMkPKkiZNZu2Y9r169NHiAipO1a9cyePAQHjy5Q7ZsWQE1ubIXZED//owZM8ZA/8yZM0yZMoXr129o33N2dqJNe0969O7M8aOn+PTxMw6OmtKZpcuWjDXKPHk2qdeaKe8/U8fWFvn9ewbXUXroEDat21AQmLDHi3oNa2l7m8PVFzUnjpyjR/uhWtd3/Sa18PKeh42tOAHEkJTlcgULZnixdd0+0nz7QXrgDWCVIzO9h7SnfbfmBjb8KikrFErOHr3O9Ut3UciV5MiTmaZtapM6rXPicZKYlEMCf9C13jSiVTGkr+6sXb0DRIcoCLwQiq3EhjXHRpImg4shbjIpG8VJalJODCFbXqlLJfqRJe8p/2u4pQoX58yOw6ii5TRt6k7mzFnImSMnpUuX4dSJU6yevURDxqIxzZbZTEDX3J6yoFbzJTCAwoULYU4KFdK0BwbFF1EwmxcsCOw9sI9OnTqaJGOArl27cfXaVT5++mTafhO26+rGXXM7OzvMib29HQpF3B6qfjCU3jixbRcvXKJhw4YmyRigZcuWmnrJV65pcUuXLomvr+GPOTIyktu37/Dp02c9m1q2bs7gof3Ilz8vAwb3Ycacv/lr0uh4MgY9gjW29xv6PZTMgFCokNGHGqFIEQAyAd+//dDrbQ5XX6TUa1STjTuXYmeniUw/7nOW7m2HEBOtEOnq7ykrFAq6tR6G36LN+Nna8wK4DHyUStmnhFVD5zJr4vIk21OOe21tbUW9plWYMKc/kxcNoOtAD9KkS2mwf5vYveCk2FPevfYMYaGRZK6fUo+MAezSWJO5fkrCw6PYu/6CcdzkPWWjOL9rT9mc/FzpzGRS/mNwSxcpgZ/vBS7uPcaoXoPo16EHO1ds5M3lB3Rr3dHkmL+DlCUSCc5Oznz+/BlzEtfunCKFfoMJG1QqFaFhoWTPnh1zEtf+LbZSVjyOZaRcsKDmgeH8+fMm+6nVas6dO0/BggV13jVPygqFIta1a1ocHDR5yfFEDz16duPWrVv4+vpq3wsLC6Nhw0ZMnTqVGjWqs2/fXnx9fRgwYACH9vtSu1ojnj8V16wW/dzNkHLadGl4JaiR3rkDSlG1N0ByQ+MifwukT59O3GoS1xgp165Xlc17lmNvr3kAOn38Ip09BxIVKY5qju+7YeUuQs9c54KVFTkyZ0K+bRsxfrdQLl1CGYmUB6lSsWfxVq5c8EtyUjaNY/om/btIWVBJOLTlIk55bLFyMB48ZOUgwymvHT5br2ir5CU0l4RI2WypymRSNuj7G0pnilgumZT/GFwEqFymAmP6D+OvQSNp2cg9/hzhhIhWBzcpSNm9YRM2b95iNvrbe5M3JYoWJ2f2HEgEAUkCFbRkMhmpU6Xi5ctXJjEBXr3SEFDatOkMcF69esXMObMZNnIEU6ZP49HjRwa2x0n5smUpVrQY8+cvMDmPPXv28vbtW3r06CFqMU3K+QsU4OLFS4bfYx25cEGzismfP5/2vfoN69GocQPat+/A0qXLCA0NZciQoTx9+pTTp0+xZs0aGjZsSO3atZkyZQp+fn6kTZuWtp5d9G7AGpsSR8otW7vzt/9HJP7+yBYs0O8TEIDVjBk8zpyZqIzpqVqjYoKR5fothqRcrVZFtu5fiYOj5oHlwpmrdGzRn8jwaANctVrNpjW78MqUEWmOHMhPnkTdvBlC4cKounUj5vRpXORyJqVNy+Y1ezUj/AdIWT9qOnGkHPY9grDvkdhnMl20BMA+kw3hP6II/6H/kCOei7kHBUPSSzwp65Hp/1NSToz8dB4ykEzKfzCu3i3PHNFqgOP7WUDgxki5f/defPjwgbFjxxklHm9vb3yPHGFgz756++MJkXLrFq3Y7O1NdLT4Bh1nmsCaNWupVaNm/L60oIkWbtOxPUVKFWfhkkWcu3iOVWu8KFOxPI3cmxAQGGAwb4lEwrQpU7hw4QJdu3bjk44LXKFQsGXLFvr06YO7uzvly5UzUjPCOCl369aFFy9ecOjQIaNzUKvVLFy4kKLFilCuXFltX6lUyqYt62nTthVjx44lZ85c7NixgwkTJlC2bFkDnPTp07N69Wpev3rD8aOnEiiHiVFSbt7SjYCsmVmVPj3WkyZjU7MWstmzsRo2HNtSpYkOCqTZp0/0GdBVu43wq6RcuVo5dh5ajZOzxnNy5cJN2jbrQ3hopJ7m65cfCHzjT5lPn1H16gUOompn2bOhauFBG4mEcyevad/+00lZ3J4QKUslMm0AnKA0/ZCn225lJUt4br+BlAGLSNkc6f0vk/Iv5SEDyaT8B+P+FlIW6Yrb8uTIRYZ06Vm6dCm1atVm+/bt3LlzB19fX1q29KR37z7kyJaddi1bGyF007h9u/fiR2goXbt2IyZG/ylfEAQmTJjI9evXGdJ/kNb+6Ohomnp6cPb8OVatWsnbt2/w8/PjzZvXeHt78/jxY+o1aqjN5ZUI8XOv51oP742bOHr0KPnzF6BRo8a0bt2G/PkL0LNnLxo3bsyG9eu1DxWJIeUqVarQoEF9unfvwZ49e/VW34GBgfTo0YOzZ88x+e+JOria/9va2rJ0xSIePb1LXddaSCQSOnRor51nu3btadeuvfaBpXTp0pQoUYKD+320OBIzBCkmZQcHe3bu28BkCXja2vLU/wOqefOJ2LGDLba25PsRSsWurek/WN9D8KukXK5iKXb5rMElpSZI6ubVO7Rp2pvQ7+FarZjoGBwAiVqNkCkTRiVTJuyUCmKiY/TG/V8iZQAn5xTkLpiZ8DfGH1TjJPxNNDkLZCKFi32CcxHb9G+QsnichEjZkrrZ5sf8eVLWHednSTnxLmudhHhBrdYn5gRI2Wy5zGRS/q24/zQpz122iIioSFasWI6dnR3dunWncuUqtGzpybt37+jbty/vPrzn4FEfg76acY3jFsiXny1rNnL06FEKFy7C1KlT2bVrNwsXLqJ06TLMnz+f2dNm0sC1ntb+zdu2cOPmDQ4dOkjnzp01pTsBGxsbPD1bcuLkCfw/+rN42VKRDZr/t2juwcunz5kzaw6Ojo5ER0XRvFlzbly7zuZN3tjb2evZmBApSyQSvDdvolatmnTs2JHChYvQqVNnmjVrTt68+Thw4CDrNqyhQYP6eiSiS1yZs2SmdJnSpEzpoj2XWaVSsX//fvbv369H8tmyZePb1+/6c7OAlAsXKcTRM3sJr1uNsl+/Yh8eTspv31iVNwezdnqxYOl0zTnMCa3ALSTlUmWKscd3HalSuwBw++Z9PBv34FtIKACZsmTgh1RKmIsL0pMnMBBBQHr8OC8dHMmWMwsSicQiQvwvkbJEIqFVd1fC30ebrCQW8TGG8HfRtOhaI4EjAv+7pGxog3lSNr/KNh2gZ46UxeOI2xIjiU57+rr7gaaDTJzSo3ORzKREaV7/C/m6/09TosR99T5kcylGGuD4fhboxshjyFmmEK3btGHePM0Zvv7+/gQGBuLi4kLu3LmRSCTUqVMXG4kVJ/b5mMQVdOem8+eTZ09ZunoFO/bsIiIiAisrK9wbu9G/d1+qVKysp1u2akVy5s7Frl3x59SKZfDgwRw6eIiXT55jZaWfamOq+Inx66DTz2AUw/Qfv1t+bNiwkVevX2FrY0ut2jXp0LE9qVOnEukaplN5b9zC4IHDeP36FenTpyciIkKzbw4EBwfh6OiIIAiUKVOGkmWKs3L1EqM2GBtD84ambf/ewwwfPJ48377TI2NGbKVS9gYFcQoYOmYAw0cPRCJ6cjOLa2FK1JOHz2nZuAchwZogvcJF87PTZw1p0qWkV4cR1Lh4m+Hff6Dw9kbdzF3zGalUyObMwXrKVNysrSk8ricDRnSJRzWX0vOLKVGmcUynyCS26IfYHt02pVLFiE6LuXnxEamKOZKykANWDjKUkSq+P43k2/0IylQpwKxN/eJd3GbSfSxJ0zJMOTJdGEOccqSXypSArrmUI3OpTb+WTmX6czOXEiUeJ65tZNWDJCQWEzL8eaQMCZDTn0bKonZzuAbtfzApP3r2hJK1KnLy5AmqVq2KKVm6dBkTJkwg7H2QWVxTpAyaH0tERAQODg6aIiEiXblcjlOG1Hh5raJ58+Zs27aNI0eOEBERSZYsWejUqSO1atXi1KlTuLs34+mDx+TMkcPA1t9JyvF/myYucbuAwNev3yiYtyhjxoxm9OjRRgn50qVLuLrW44DPLmrWrm6xDT4Hj9KvbS/OZspE2c+fEVKnBhsbJF++8CldOioFBdF63GBGjx+SpHPTFzXPnrzCs3F3AgOCAchfKA+7fdby+XMAHrU7cjx1Gqp++YK6eDGE/AWQXr+O5MMHlqVLxwxrCcevbCNlGmd91J8kZQPdP4iU5TEKlk/bzYEt55FHK5BZS1Ep1NjYWdO0fVX6/uWBlY3+zS+ZlI3Y8BtJOTGE/FNpT4Konmti3dea1/+CG1fsvtY1KQndzD99kpUZXIP2P9h9Hecutba2wZzY2FijUqkMr4kFe8pSiRQnJ6f4il2xus9ePGfeogX8PXMaoDnGMX/+AgwbNhy1WiB79uw8evSIJk3cqFWrNqGhoWZtNXsetJnrYs59rWk34zo24wKWICF16lR06tKBmTNnceKEocv29evXdO/eg+IlilG9pu6DUeJsUKlUjBv1N/vTpaPUjx/8WO1FzLu3xLx+RcypU2R0cOBG2rQsmb2ML58Dk3Ru+iKlQKE87D++kUyZNYF6z5+8wqNBV9JnSMuanYtpGPaDplZWXPn2nVfXrnFUraYcMMvOim2HVpA6bapfdDubD6wyh6N/uMXvdV/b2FozdGo7fO8tZOKy7gyY4MnEpd05eHcOg6e2xsbW2mCcxNa+Ftv0v+S+NrAhoTzr3+y+TvQKOWTnPcPV7n95pQz695H/pZVyAri/a6UcFhFO1pL5GTFiOGPHjsWUeHq24sPb99w8fcm4ggUr5bjXXwIC6DmwLydOnyRFihSkSpWKz58/o1aryZo1K0ePHiF37twaPEHg/PnzdO3aFbVaQK1S8eb5K7NFR/60lXJ0TDQd2nbh+LET1KxZg3PnzgPQunUrDhw4SNZsWTh0ZC9Zs2YxgmvahtCwUIb0H8X9fb48V6vpC2y2t6dVK09GjRql2Xa4dQvbatVpbWND7tH9GTFmUJLOzdhK+d2bD3g07MbHD5oc9py5s7H7yDrs7KzZ7n2Ao4fOEBYaTroMaWjZtgnunvVxcLBP9IpW/DqpVspirN+9UjaKm0AlruSVshEbfsNKeXiVfSQkFhEyGCHWZFL+NftE7f91Uu4zajC+p49z69ZNo4cy3L9/n0qVKrN01nx6du5u0G4K1xwph3wLoXqDOkRERjJ9+jQ8PDywtbUlJCSE9es3MG3aNBo0aMD27dv0nlrv3LlD5cpVaNSgIft27jYkWpH8E6T85OkTNqzfyJMnT7C2sqZylUp06tyRdOnSxurG91UoFezauYfVq9Zy2+8OANmzZ6N7zy507d5ZG6ks7mfKhu/fvuPWwJOXL16zsmJFupw7x6WjRzhz4wZeXquJjo7G19eHkiVLYlOsOAdjotlQpigbtq5M1Nx+lZQ/vP9Ey0bdePfGH4BsObKw58hasuXMbBLXEhIWv/43SDkhG5JJ2XCc/wopJ4aQfznt6T/tvgbL3NeJdDNbZJ9Iksx9LWr/p9zXYwYOQ6VQ0qhhI/z8/OJNUas5cuQIbk3cKF6kKO1btjF0AZvBNee+nr1gHsEhIZw6dZK2bdtia6spkpAmTRpGjhzBli2bOXToEIcPH9brV6pUKWrWrElwcLDBPI3J73RfKxQK+vXtT9nS5dm9azfOTi6AhJkzZlMgX2HWrd0Qqxvf19rKmnbt2+B7LH5v6rrfRYYOH0TKlC4JuI71X79785461Zvw/p0/Fy9eoF3HDgCULVmSUaNG4ed3i1y5cuHp2QqFXA5KJSrB0BX7O93X2bJnZv/xjeTJlxOAD+8+0rxeF968/GAS1xJ3tViSyn0txkqq84sTSomypBJXsvvaiA2/yX1tThJPyDrk+v+WlEXt/0ZKlIEkJSkLotf6wPH9zJBPzmw5OLHrEBFh4VStWo1yZcvh3tSdwoWL0KJFSwrkyY/v9v3aEpG/SspRUVF4b99K165dtS5psbi5uVG+fHnWrFlr0FazZg3evH1jdJ7G5HeR8tAhw9i2bTtLlizmxYsXbN++jQMH9vPq1Uu6dOnM4EFD2bF9ZyyWPnE5ODjwOeg9n4Pe4+CgX440MaR8x+8e1SvX583rt/z992SKFi2KumZNBJkM2SZvAFKmTImX1yr8/f25NnsO0rdv2fDlC6XLlDBKnom3wTJSzpwlI/uObiB/oTwAfPoYgEf9rrx4+tYkrkGhCUuINQFSNoWTEFYyKRu2wf82KSdGLFshJ5OyQXuSBXr9rnknYK8BUSQBKRctWJhHF26xf+MOShcpib3MlgY163LR5xSn9/mSPk1ak7gGkgApP3/5gm/fv+Hu7m4aA3B3d+f69esG70dERGgCw8wRrUiSmpSfPXvGhg0bmTt3Dj179owvewqkTp2aRYsW0aJFCyZNnKI9qlC/2IUUR0dHHB0dY7ctEk+IkZHRtGnZmVQpUyGTyWjXrp2mIXNmVF06YzVxIrKVKyEigiIFCjAiTx7KzZ/P2/TpOSOV0q6jp8EYunNLjA2WknKGTOnYe2Q9hYpoyosGfAmiRYOuPH34UqSr39cSUk5soJelK/DfRcqJtSmZlE3Z92eQsuVR1smkbNCepFHSv4PsE7D3V0hZYkJXJpPRxLUB6xatYM/6rSybuYCKZcrFV6Ayg2sgZkg5LrLbysr8F9/a2tqgLrVarWbnzl0EBgXx9/SpoiI1/xwpb9y4iXTp0tKlSxfjY0kkDB8+jI8fP3JC52jJhIhLD8MEIe7dfYDAwCA8PDxwcnLC2Tl+31m5YAGqNq2xGj4C24yZsE2bjrmvXvEQKBcYyKTp40ibNq3RMSyxIe4d/Vfm55YufRr2Ht1A8ZKFAQgO+kqLRt15dO+5WVyL3MwWkPK/7b42ZpM5HPOHWySTsoEN/xAp/1TaUzIpG7b/U3u//8iesnicBMjTFCkb6Ar67UlBynly5cbe3j72TGLTcurUSYoWLar33sqVq3j//j3t27dj5tzZTJ4+xXClnNiTohKo822OlJ8+fUaFChW1e9/GpFSpUri4uPDkyVPOnjnHrp27OXH8JDHRcmJiYujdqz99eg0QlRVNmBAP7jtMrVo1KVy4EN+/f+fjx4/xHWxsUHp5IX/yGOX8eSimT6NplizUEQTGLp5O737d9LDEYyTWBt3WOPn29TuXzl3n/OnLfP4UYBQ3dZqU7PJZQ6myxTR9Qr7j2bg7924/MYkLv4eULcb9l0lZjJUQKSfWrf87SVmvgpYFZSz/S6ScaEI2IIZkUjZoTyblxOkmJSm7OLvQqnlLvLxWExISYrTbrVu3OHHiJO3ba9yxT58+ZeDAgYwYMYJBgwaxevVqJkz4i3kLF2jOUrbAJrP2J0DKcdfbysrK5KEZcaJUKomJiWHe3AW4NWlGt6498WjuSf58hZk+dRbbtmxn25btBqc7JUSI3759J1u2bLi5ueHg4MC6desMxhZy5EDVqxenCxfm8MePbNm1lq49O4lwk4aUv3wOZFDvsZTIW43RjbswsWkPyuevRefWA3jy8IUBbspULuw6vIZyFUsC8P1bKK0a98Dv+n2RbjIpJ2SDOVI2sCEBHLO6IlI2R7Tmjm9MqoMlDOz9TaScGLFohZxMyqZ0k0kZ/j1SHjtsFPKYGBo1bMTNmze1bUqlkv37D+Dm1hSZTMaQIUNxdnahVKnSHDp0mFmzZjFr1kwABgwYgJ2dHRu8NybOfj0bzOiaIWXQXO9q1apx/vx5AgMDTY5x5MgRoqOjqVWrJlevXiEoKJDbt/1o17YdSxYvE2EmnhDTpUvHy5evcHFxoVevXsydO4/9+w8YjP/kyRO6d+9B6bIlqeNaMxbIvJtZ346ESdn/wyca1mxFqkOn8E/hxAvgCfDVyYna1+7iVrstfjfuGczNyTkFOw6uplI1zclXYaHhtGnam2uXbot0k56U7/s9Ye2SXaycv5Xjhy4glyuSSTkxuubqR/8LpGxgr0WHWSQdKSc6Dzl4S/yX2yBXViff+LflKQP8E/m6P5un/E/Z92/kKYvHMZOnDIjydc3r6uXrJqRryh7g4dMneHZux6s3ryhcqBAZM2Xk6dNnfPr0iXx58hIYFMTceXMIDw8na9as1K9fXy94CqCpW1Mc7OzZuWV74u3XEbP2m8lT/vr1K3nz5cPT05NVq1YafE5hYWHUqFETuVzOw4cPDMbdv38/7dppTn76EvQBR0fHeJv0PknDHOE9u/bRvUsf/PxukT9/frp06crevXspX748Hh4e2NnZcubMWXx8fMiXPy8HfHeQMVMG/Zxi0S3EfJ1q023NG3agxsPnTPv6FZWbG6ru3cDeHunu3cjWrWdfhvQMlMLNxyexstavOw5qIiOj6NJqIBfOao5ctLO3w3v3UqrWKi/S1bf3Z4qHPHnwglEDZvLx7nMayiTYySRckasJSuvCiEm98OzY8F/PU9Zg/ZwN5vKUDWywoKCJuTxlTbvaZJtBfrEZXXP5xubylA3stSjH2fznNqD8NhKSRBNykPctPcI0R8qadh1dc6Qs6vvHk3KCusmkDElLygqFAp8TR7n/6AFSqZTypcviWrMOUtF3TqlWc/z0SQ4dOUxoWBiZMmWiQ6u2nDx7ivnLFvPp00fD+etIo0aNSOnkwnbvrSbtM2q/jvwsKW/ZsoWevTTHOo4cOZLy5cuhUqnw8fFhypQpvHjxkrNnz1K2bBmDMXVrWX8J9Mcxhf75wOYIMUYeQ9mSVXB0cMDHx4cMGTLg4+ODl9dqLl++jEKhQCqVUrN2NTZs8SJFCl2yTzpSfvr4OQ3KNeKrvT3Sdm1RLl2qd+1ky1dgPWIEBYERmxfS1KOBUdyoqGi6txvKmRMXAbCzs2X9jsXUdK0kumo/T8qPHz7H07U349VyhsSosdeZzgkHKe0j1fSe2Z8ufVskk3JidP+fkHKSEzKQTMqJ0v3vkrK4779NyrsO7GXkpHF8DvhCpkyZUKtUBAQGkitHTpbPXUTdmrVFYxrinrt4gfrNG3P8+DGqV6+OMQkKCiJv3nz8/dckhg0cbNEpV2L5WVLet38/48eP5+3bt9jZ2aFUKlEqlTg6OhIREUGaNGlYuHAhnp4t9SB0CfnuvVtkypwJewc7vc/ZHCE+ffqMZk08CQ0No127tlSqVJmIiHB27tzFxYsXaeHpzur1y5DJZAYVtJKKlJcs8OL19CVsjo4m+ulTyJFd/zrFxGCbKzdeNjacqV2BZWtnm8SNiZHTq+NwjvueBTS109dsXUC9RjVFNv0cKTev25PmD54wPkrF6hKObCvsyA9bKa5voxlzLZT3EqgUI3D28S7SZ0zz06QM+iT4a2SaTMqa9n+PlBNDyL9UqcvcnrKBrrk9ZVFfs3vK8M/srZrbU05QV9++RJ/5/AfsKYv7GtDOP7invGX3Djr06UbFypW4ceM6r1+/4s3bN5w7d45ceXLRtF1LTp7Vj66WGMGtUbUaBfMXYOrUacjlcvGMEASBmTNnIZFI6Ny+g6HtibFfzwYzumZwPZo3p1+/fgCULFmScePGcv36NYKDg3jw4D41a9akU6dO7N1rugRfubKVyJAuCxnTZaN/30E8evgY0EQtv3z5iuCgYMQ/+4IFC3Dhyin6D+zNoUOH6Nq1KwMGDESpVrDeexVrNizXHuJh9uxjM3vKhn3F+dBRZLS11TxQZctqODFbW4SMGclgY01UlP65v2JcW1sb1mxZQONmrgDI5Qp6tBvKkUOnRTbp25uYvd8nD1/y4sZDhshVrC/myKJyzgQ6yoixkuCT156BrqkoHaWmoQR2eR9JNG689eajnRPbN3lP2dQ4Sb+nLO5rbk85IbF4haztmLxSToSu6ZXnn75Stsh9LX6dBCvl8IhwcpQqRBO3xqxdu9bAVqVSSbNmzXj5/CVPr99DJspDFq+UL1y5RGNPdypVqsikSZOpWLECEomEFy9eMHfuXDZv3sLC2fPo17NPAi70BOw3NW8gMiqKg4cO8ubNG+zs7XGtW5dixYppcb9//07uPHno3LkzCxcuMMQTBNq2bcf169d5/vyZ9jCMlStXMmzYcADGjx9Hnjx5ef36FRs2bCQgIIDChQvx4MFD7YNY9RpV6T+wHw0buerjIyAIApGRkVhbW2Nto7tPa261++sr5S2bdrF3wHguqNXIj/iirlVLf/If/LEtWJBRKVIQ1rE5U+eMSxBXqVQysMc49u/WEKNMJmP5+lm4t2yQ6JWy+PWmNbu5PnwuhwVwbZWOD87ivWw4tDeIqwo1a8qVYuP+uUZxfpf7Wtw3eaVsapx/fqXcr9xmEpLEpz2ZW/0mr5QTxDGwISH7LFiB6wMlgKvbllTR1wZtv75S3r5vN+ER4UyaNNnovq+VlRWTJk3i3Yf3HD9z0jB6WYRbvXJVDu/cz/t3H6hduza5c+ehYMFCFC9egiO+R1ixcKmGjEU2JsVKWRAE5i2YT578eeneswdr1q5hxswZlK9Ygbr1XHn16hUIsHXbNhQKBaNHjzKOJ5Ewfvw4vnz5go+PLwCXLl1m2LDhdOrUkTdvXjN+/Hjatm3D+PHjefz4ER4eHjx8+IixY8dw/Pgx1qxZjTxGSeuW7Zg9U5/0JUiQSCQ4OjpiY2MjWk2aW+3++kq5abOG3Laz5VP6dFiNGAmfP8erRERgPXAACltbVoWG0qajR6JwraysWLZuJq3auwOaIjL9uo5m97bDiV4pi1+rVWpsYucXZWX8YSzSWoINoBSloP0T0dfivgmtlH82vzh5pZxwX/FKOTFiWdpTMinHtmGB7k+SsgW4fwQpJ7H7+prfTUqXLk327NnEo2qlbNmyZM6cmWu3bhjFFZNyzarVeXzjLod37adr+060bt6STV7reP3gGd07dTGwwajtibFfzwb4a+IEJkyaSLt27Xj8+BFv3r7h8+dPbNu2jYCAAOrUrcPbt2+5c/sOZcqUIWPGjCbxihUrRrZs2bh79w4Ac+bMplChQqxcuZKMGTPqPbzY2Niwdu0asmTJwsePH6levTodOnTgzJnTTJo0kelTZ3Ls6Cl9e80R7W8kZWcXJ3r174JrUDBR/v7YFi6CdfsOWPfoiW2+/AjnzuMJVG1ShyLFCiYaVyaTsWjVVDp01ey7q9VqBvcaz/ZN+3+KlPMXys1VtYBSAg3eGOaOZwlTUixIwQW5hAKFc/8recpiMUfKCdqUTMqG9v5GUrZ8DzmZlGPbsEA3mZTBCCkLpnVVKpXZ84lBs2K0trZGbeZ6iklZKpFSr3ZdJo+dwNS/JtOmZSvs7OyM2pAUpPzg4QMWLFrIjBkzmD9/Hjlz5gQ0pTybN2/GmTOnsbWzY8y4sbEw5lwPGlEqFZw+fYbmzT04efIUvXr1NHmajLW1NV27dmHXrt3a0qESiYTRo0dToUIFVi5fhUVE+xtJecyEoZTq5EmO0FAWpHDk/fXrfDp7hi22tuSLieFb+ZKsWDsX8bcwIVypVMqcJRPp0qsNoLnGw/pNZNPaXRaTcqVqZbDOlZld9lKG3gqj1rto7Xcsxw8li09/J9hKgrdcRZuuTWMvwz9PypbkKSdok5miH8mknHBfS0jZ8jU1yaQc34YFuv8MKf8TAWRJRsoGfeNfFC9UhNu3b5usvgWaQxnevXtH0UKFTWNiPNArsfb+KimvXreWjBkzMmBAf4M20BTmGDp0CD4+PuTJm4fbt2/zWdddK5J79+7x+fMXvnz5QkBAAAA5c+ZkyJAhDBkyRFQ6UyN58+YjKiqKiIiI+LlIJHTt2oWzZ87z9es3/gRSlsmsWbR8BhuOb+dSzYpUl0IFBDYWy8+UnSvZfXgjKZxSaHsmFjeOlGcuGE/vAfEVxsYMnsraFVstImUrmTUTZw6jd6Saq9YSVp78xukdgRzaG8Tx3UGk+aGkoUqgccfGFCyUV+cymCejxBLZn0DK4vaESDmxNiWTsiWEbFCJK5mUNW1YoPv7SdkiXAv3qi2Kvjaz+k0MKXdqpSl0sWjRYvFIWltnz55N2jRpaN64qREFfVxFTAxPnj/l0ZPHhIeH/2OkfPXaVdzcmphd7Tdr1gyVSkXOHDmwtbVl5syZRlfKarWaadOmkylTJp48eYSPzyEA3r17h5fXary8VmtPg9KVDx8+YG1tHX/kZaxky6bZDggNDY19598nZYlERuWq5Vm7aQl3n17gwYvL7DywnoZNXJHJZGbJMyFSlkgkTJ41kgHDumvfnTByFvWqtKJrq8GMGjiF61duG3z84ht4gya1mLl+Km5qK6pLYC8SzsvVdLOWkkshUKCjG9MWjowdVZe4EiAGC0g5sdHXCR8k8ftJ2ZhNiR7zf4iUEyOGIYLmRK0GHQMElRqJTlS0oFZrI6MFtaAfqatS60VQ6+mqBL3oa902cV9xm8E4aoG4aGGDNgH9CFrddp1+oLnh6wUT6eIatKF/fzKrKxpH1wZz9v2BuBJEfCQaR++1IOjdmCUC+lHIIt20adIwfshIJs6ehkQCQ4YMIXXq1AB8/vyZ6dOms337DtYuWmH2UIYfP34wb/liNmzdRGBQEACOjo60bdmaUYOHkyN79vjx4yZlxF5d+8zaHttXpVZz/MQJvgQEYG2tXxFMLHH229rYMWP6dAYPGRIb3DVa6+J+8uQJkyf/ja+vL9u3b8fKyoZUqdJQu3YtNm/eYhJbrVazceNG3N3dsbLS/7m/ePECqVRK6lSpdd6VovuUKUHCy1evOH70JOFh4WTOkhm3Zo1wdnYyqqsb6RweFsmhAz74f/iEvYMd9erXpkDBfLG6Ur1IZ/2+5nH1++p/CxPClUjUjJ8yhNAfYXiv2wXAg7tPKPHmEwVlUnqu30vuyqVZu3UeadPHXxepRKafi9yqEbXqVWHfjiMcvXgbhUJOnvw5OdapKbnyZtPTlSLTRhpLJDK9SGcxru5rgzYdHA2WVBvtbA5H3FfcZs6mhGzQbde1J8G5mcGJIzzta6lML3pZKpFqI5jFbTKJTC/y2ZyugX1SqTaK2gDHTN84Uk5sX3OS6LSnwHXX9N/QS2Uyneakea1zt0pOiTI+TmJTov5AXIMv0M+mRIl0BWDm4nlMWzgbmUxG+fLlUSqV3LhxAxsbG+b9PYMeHbsaxQUIDgnBtUVj3n14T8eOHWnevBlWVtacOXOatWvWolarObH/CIUKFtTvaMZe8dyMpXRdvX6NLj268+79O1KkSEGmTJm4d++uySphe/bspWPHjty5dZuCBQuybv06xk/4i9DQUAoWLIhSqeTFixekT5+exYsW4d6smbbvsWPH8PDwiJ9zcJC2dKZarWb06DEsX76cM2fOULFiBa2eWq2mQoUK5MiZgx27tsReb91PUs2Xz18Y0G8oJ46fws7ODidnJ0KCQ3BwsKdPv56MnTAyNj9ZlAqiVjFnxkJWLF1NREQk6dKlIywsjMjISGrUrMLSVfPImi1L7Jg/V2bTsK+5Nv2+7999oGG11lSNVnBQx40/QSZjokTCIAcHzmfPyKEzm3BwtNfDMVsxy6JUpgR0LUgj+h3FQyy1Qbc9KauM6accmU5zErebS4kS65pLiRJj/Uo6Va/S60lIEk3IAauvGhDm7yBlDZbEZFsyKf+ZuL+LlJFICAwOYuP2zdx//BBJbOnMjp5tSOmSUkSI+kAtu7Tj6s1rnDh5goIi0g0KCqJxo8ZERUZx/4qfQR7zz5Ky353buDZuQMmSJZk9exbh4eE0bNiIHTu24+7ujlhiYmKoXbsODvYOnDx+Qvt+REQEe/bu4f6D2HKhFcrj3rSptv627vWeMmUKs2bNAmDp0iXky5ePly9fsmqVFw8fPmTevHn0799Pq69SqRg2bBhr1qzl6AkfqlSJLysZR1zBQcHUrd2QqMgopkz5mxYtWmBvb8/Hjx/x8vJi/vwFtG3fimWrFsZ+T+JvRMMHj2X9Wm+GDBlC3759yZYtKzExMRw4cJBJkyahVCk4fvYAmTNnjB3znyXlEQMmkXrvcRaHhjLbtS5jTsZHmo8oXJjZT55QWSKh2YKxdO7ZygA3mZSN25BMyoZ9dfslOSGD4Sr23yZlcfu/QcoG7WZI2VA3mZQhYVI2h2uMlF+/fUOhiiVZsWI5Xbp0EVsGaI5lrFatOvu27qJxvYYW2WvKBtfGDQgNC+XsubPY29sjCAKenp6cPXuORYsW0rp1ay2pvnz5kuHDhnPu/HmOHzlGxQoVzI8jHjP2/xEREaRLl06/m0RCiRLFefDgIRkyZKBLl87kzZuX9+/fs3HjJt6/f8+SpYvo0rWTUeIaNmQk+/Yc4PLlS1q3ua5s2bKFnj17cdB3NzVqVdO+f/3aderXdmfp0iX06NHDoN/Hjx+pUqUqtetWY/nq+DzopCNl3Stj2BYeHk6xnNV4ncKJtJUqodi5g+XLVzBixAitzhAXF9wdHemfOgWnru82iptMysZtSCZlw75x/X4LIcN/m5QN2pOSnH4HKYtsTCZl47hiUl60ahmTZk3F3/+DQTCTrpQrW47SxUqyZukqi+0V6z5+9oRSFcvh7e2tV286KiqKXr16s2fPHtKnT0+JEiX49u0bt27dIm2atGxcv546teskbhwjpKxLyE+fPkahUJA6dWpSpkrJo0ePWbliJbt27SYiIgI7Ozs8WjSnT59elC5TSgcn/gYSHh5OvtyFGThwABMnTsSYCIJA2bJlyZs/D97b1mrf79WtP7du3OHBg/smU7Hmzp3HjBkzePjiBqlTp9SzQa1Wc/7MJXZu30/Al0CcnFPQ2K0eTT0aY2dnraP7c6T8+OFzmldw5xsg37gRdetWAKxZs4ZBgwZr9Xra2rJOoeBD6G3R9z9xpCx+nUzKCdv0v07KiSHkRAd1RcRE6b3WJUuZVIqdrWavRVCpiVSKas3qRbtJcLCL3ZdRqYlQiHR1bu5SqRQH+1hctZooRYx+9Kmu+1oiwdHeMVZXIEoerf+j1SUYJDjG3aQFiJJH6108MTnF7ckJgkC0PEb/QxLppnCIPQ1HDdGKaFSJ0hWIVsTo6YptcLC3RyKRIKgF5Eo5SpXOhy+6gTs6OGhuImqBGKVcL/JWTMr2dvZIpVIEtYBCqUChVBi1VyKRaHVRC8hFumJStrO10+wvCiBXyPVxRSQXpysRQK5UIFfITera2thqgpMEUIh0dW/RQSFBuLi4aMlYqVQaTQlKnyEDId++olAoNJHQAihVIl2RDTY2NlpdlVpFdLSmQMT165oCJTVqVNemGFlbW2Nvb8/mzd6MGjWSDRs2cvjwIcLDI1i+eCnubk2xt7cnIiICa2trzepZEFALAlFRUSZsQKsrQf+Hb2fnQJo0mt9MZEQkOXPmYP6CeSxdtoSoqChs7Wy0uBERkYiJy8rKigcPHhIeHo67u7teqpRYmjRpwsaNm7SBVO/fvefUiTO0a9de33Y0ZSvj8r2bN2/GxIkTuX7tJtVrVgVB4NOnL9y7fZ85MxcR+eI1Y9Klo5i9PZ+USmYcOs7k8bNY472EkqWL6tgrIJVKsbe309oQGRmlc4/Qn5tEIkEmkxL3a4j68R1l7PzatWuHIAgMHjwEgDUxMbG/N5DIICoq2jADhPibsIOjvTbQJzoqWpsbb4zIHBzttUFNMdExqFRqkwSoixsTLUelUpskRHsHW21glTxGgVKpMolr52CrwUWFPEaBSqkyQsqa+draW2sCkwQVCrkSpRHdOBts7Qx1TZGyja01MpkIV+wNidW1trXS6ioVmn+mSNnaxgqZlSaQKk7XFCnr6qqUahRylRHC1ry2spZiZa0J2FIp1SjlakMbYq+DzEqGlbUmSEyt0ugmSoRECmDyX91ilYWAtVeFgPXXhYD11wV7GzuTupULlhGCNvsJwVtvC8FbbwtpnFKa1C2Zp4gQsuu+8HXvA+Hr3gdCtnSZTeoWzJZH+HboifDd55nw3eeZUDB7XpO62dNnEX4ceyGEnngphJ54KZTKX8ykbhqX1ELY2dfaf1VLVDCp62BnL4RfeCtEXHwnRFx8J9SvWMvsdYu4+l6IvPZBiLz2QWheu7FZ3eCLL4Qov49ClN9HoUMTT7O6H84+EGLufxFi7n8RerfuYlb3+albgvxJoCB/EigM69bPrO69I5cF5csQQfkyRJgwcJRZ3asHTwvKt98E5dtvwqyxf5vVPbXrsKD88F1QfvguLJk616zuQe9dguLTD0Hx6YewduEKs7pSqVT48OG9EBUVKWzZssWs7polK4WYoDAhJihM2L91t1ndRXPmCzFfw4WYr+HCiUNHzOpOnz5diIqKFKKiIoWLFy+Y1R0/dpwQFRYhRIVFCH43bprVHTJkiBAVGSlERUYKjx89Mqvbq1dPISIyTIiIDBPevnttVrddh7bC0RM+ms/w6hWzuoULFxZSp0kt/IgMFHbs3mxWt0GD+trr8OzZM7O6NUBQp0ghqCpWFNQZ0gtpzeiWLF1MCIp4qf2XLXsWk7oFCuURPny7J6RLl0Z4limTUNje3qwdgODZrqngH3pXKFG6iEmd1GlSCv7hftp/FauWNqlr72AnvP5xSfuvZr2KZsd/9u2k9l/9plXN6l5/v0t4EHJIeBBySGjaxvy95/TjtcLtwF3C7cBdgmdXV7O6+2/ME65/2SRc/7JJaNe3gVld77MThYufVgkXP60SugxrZFZ3xeFhwpkPi4QzHxYJPcc1Mas7e0dP4di7mcKxdzOFvlPM605Y21Y49GqScOjVJGHgLDezusMWuQu7n40Wdj8bLQxZaF631zRXYevDwcLWh4OFYcvN29B+TBVh/d1ewvq7vYQRqzXXITHyU4VBTIqRJ0hTYpBna05XZYHu77BBlK+blJLIHYNY5d+Aa9HwiVcWe36TygZzZSrFIpVK2bBhQ6J04+xVKpWcv3wxARsSbYJlYtF1iP/TlGv4Z0QC5M+XF5lMxrlz58zqBgYGUqhQAW7euEXHdt0SPcaZM6fNtgsZMxLz6iXys2eIefECHB3N6ideNN6N9l1bMuzbNxCt4o3J7m2HGNh9rPnfk0H0vCXffgt0zRxk8ku4FuiK882TTNeCalbifHNzYlGVLIsqav0e3ETvIb9erFPzVnQDsLKWYWcdnwuq64YW7ynLZDLsbey0ryPlOvVgxbpW+rpRymjtD8Ngv9lKhoNtfIpClDxGSyBi969EKo13mwPRCh03tJG9VUf7+D3IKB1dY3urcboSiYToGB2XtZE9ZV3cGLmOy9rIHq2Dnb12vBhFjNZlbbjfLNG6t0HjLta6rI3gat3Q6LuWje0px+lKJBLkch03tBHcODe0APq6Ru5dWve2RIJCEe+GNranrHVZi3SN7a2OnjKBjds3s2PHdlxdXfXc0I8ePcKzpSd5c+XBZ8c+bG1tUalUtOzSnhNnTlK9ejUaNmyIlZUVZ86c5dixYxQvUoy9W3eQMUNGjctaIkGlindZI4GmrTz49uMbR44cwdHRMd4NjSa6eenSpYwdO44Lp89SpHARPZvjdAWJxk2mdfsa2VPW4op0DX/MGje0ra0tuqc5aXQN913jdDu078T9ew85c+Y0KVKkMEC9fv0GjRs3Zt1GL3Zu383nT184fvw4p06dolOnzuzdu4caNWpo9eNc1pGRkVStWpV0GdLgd/MO1apVZ/36ddSt68qC79+pbG+P8vo17HVIOCIiAuuevfhx/jx5w8Lwe3wBZxdnQK11Wcf91uNc1sbmJpFIcHCwJzQ0FLe67Snz7iMLkOAQHq7VCk6dmlY/fiAvXpBHD5+hUGh+Ow3carNw5VSsbYzfXB0c7bWuWI17WzC5B6qrG+eyNtwLNqYrR6XSd6nqjmHvYIsg0bTFu6zVBpigcVnHXSOty9rEnrKtvQ2S2Io4CrlS4y42pWtnDVIdXZF7W9ceG1trJGZ0dd3XNrZWWl2ty9rEfq61jUy7pWrMva3rvra2sSKulofGZa00eWKTlbUUaSxuvHvbuA0yaynS2A1htUqj26diEgZ1fV5+UY9czQVgAcmBXsbakyolSmRjgnP7lwPIDL5gCQROqdVqjp8/zebd2/H/8okUDo641W9Ee49WODk56emaw41RyGnTszM+x49QpUoVmjVrho2NNadOncbX15dihYtyZOcB0qVNCxLoM2wg2/fuYvfuXdSpU0cP6969ezRp7EbxosU4uu+QSRvuPrhH7Ub1KFq0KDNnztQe8xgcHMzKlSuZOXMWvXr0ZPG8BWZXPIYPI6bnKlfImTR5MgB/T56MtY24EInOTVn0aZgKhnr8+Al1amnmsWzZUgoX1pQnValU+Pr60rdvP/Lmy8Pa9asoUbSsNppdpVLRpIkbt2/fZsmSJbRo4aEtSPLs2TMGDRrMrVs36dy9Peu8vHn58gXp0qXDycmZYGdnHLt0QTl9msH1kO7bj0379qQDdl/xpViJuHKpls8NICQkhBEDJ3Hy4EkaWVmR08GBexERXLWS0aFbKybOGM6505fp0W4ocrnmYbJ+45p4bZ6Pja049CYeN6kCvUCfQC3CTQ70im37swK9upbwIiGxiJCBZFI20vdPj77+E3ATS8pfAgNw794Wv3t3KF6sGMWKFycwIIDTZ87g7OTETi9valerodPPPCkr1Sr2+RzEa+M6rt66jlqtpkjBwvTq3I0Onm21QV+fA76Qp3Rhpk+fzqBBA8XWAnDw4EHatGnL1VMXKF0qPkJZbMPN27fo3Ks7r16/IkeOHDg7O/H8+QsABvYbwJSJk+LdzElAyhEREaRNr4myDg7SFAYxtlLW4pogrs+fPrNhwyZ8DvsQFhZGCqcUfPjgz/dv3ylTpgzp06fn0aNHvH//nlp1arLRex1Pnzymfl03bt/2o1ChQgCEhYXRrVs3fHx8yZQpE8WLFyM4OBg/v9tkyJCejVu9mDp5NmlTp2fnzh0ApE6dhg+Ojrg0c0e5dKmB9bKNG7Hu2w9n4OjN4xQsnD9Rc7t35wF3bj8AoESpIqKgMDXv333kmM9pwkLDSJchLY3d65E6TUot7tmTl+naZhDR0RrvSu16VVm7bSF29uKHnv8OKVtiw59AygnZ9F8h5d9CyJBMysb6JpNywrhCbElJTXUnDK5vVEwUld1dCf7+FW/vTVSpUkWL/eGDP/379ePipUuc33+M0sVL6hpg0naIJzZT2x0AS7yW89eMv3n79g0uLi4G7aBZHebPXwAPt2bMnz7bYGWvK2pBzamzZzh97gwxMTHkzpWbtq1bkzZNWiMPI79GysYIGYy7r7W4otYDBw7QvVtPZDIZzZo1I0OGDDx69Ijjx4+TJk0aypYrg0wmI3PmTLTr0Iay5coAcNvvDjWr1eXs2bN6lcBA41Xw9t7Mhw8fePXqFR/8P/Dy3X1sbW2pXqke5ctVYGks+bq7u9Pu3n06xcQQ8/ABpEkTD6RUYlOzFs8/f6aGUsG9Z5exthHXBtef260bdxg/chqvbt2jCprv6GVBIEepokydM5aKlcvG6prPcQY1l85dp6PnAKIiNdsC1WpWYOPupdg7iEu2JpOyJaQstimpSBnEZPpnkPJvI2RIJmVjfRMi5aiYaGIUclwcnZBaSc3q/tvkmZS4l25dZdmmNficPkZ0dDSZM2SiU8u29OvUg8wZM2n1NuzcQq/Rg7h+/RrFihVDLNHR0VSqVJl8OXKzb90288RmgpSN6gLjp01m9+F9PHny2GBcXWnQoAHpU6Vjy9qNRsdJtA1JSMoRkcYJGRJHyteuXaN+vYa4u7uzfPkyXFxcCAoKwt/fn6CgYEaPHk14eBhXrl8kVaqUen3lcjmF8henhUcLFi5cYDAaaG5cRYsWo1yF0qxevxxQ06ZlZ76FhHLu3FkAfH19GdTSk5dOTtjmyIFy6hTUlSsjefYMqxkzkJ48RQMrK4oP7c3YCcP0bFAoFHz+FACoyZQ5A7du3KWNWydWpExFu+/fsYqNHVDa2LArVSp6fv3K5gNrqFazUiyO5poIgoBKpTKs2oaaa5f9aO/Rl4hwzf57xapl2LxnOY5O9iLd/01SFrdblDv9h5MyiMj0N5Fy5+IrSEgSH/5l5rQng1OYxFHReqc7iXTNneCkUps/7UlnHHOnRInbzZ2kZNAuUrX0FCa1Ws2uUwdxHdCSdK4FydqoODmbluav5TP5FPTFtA26WObsE9mY4Nz+YdypS+ZQs1VjHrx4wrhx41i5cgVuzZqy3HsNJetX4cYdP63umu2bqF+vnlEyBrCzs6N//374njzGpy+fDdlGMP25GZ7SpP+Gi7MzISEh8QFaRkQQBD5+/KS/gv5ZGwRRu5nn4oRsR4yr29cATefBNLZ1zuy5FCpUiA0b1vPy5Utat25Drly5qVy5Cu7u7oSHh/Pp02c2bfA26GtjY0OXrp3YtGkTN2/eNGr/woWLePPmDT37xEViS2nboRXXr1/Hz0/z+Tdq1Iia7dpRISKCj0FB2DT3wC5DRmyr1yD82nXa2tkSUCg/A4f21uJ+C/nOtElzKZy7POULV6N84RoUzlORTq37sCVVajoGB8OwocQ8fkTMk8cIo0fR9utX9qRJw4CeY7TBjjeu3qFX52HkTFuKLC7FKJarOlP/mo//h09aeytWKcPOQ6txctYEuF275Ee7Zn0I+yHO046/4gmedWzByUoSc7oWnKyUVOcXW3RyVYLHQEpNtiV0NrNZXTPHH5o7KcqcrsFxkmZOe7L0pCewhJAhSUnZbF8zxzcmRMp67f8yKatUKnpMG0q3KYOxS52CVatWsnXrVtp16sAG3+1U6tqI+y8eG8URY/0XSXnHob38vWgWkydP4s7d24wcOYIuXbqwaNFCnj59Qv6CBWjarTUhX78C8Pz1C6pUrYo5qVq1Kmq1mtfv3hjYF2uEUdvBPLG5N3IjLCyMffv2mRz78uUrvHz5Eg+3ZiKcX7HBRD+RSAQxoZtxbInI3hwpf/kcwIkTJ+nXry+nTp2idu06PH/+nPnz53H58iV8fX2oWbMmUqmUObPnI4/RKQYTizx85BCKlyhGw4aNmDJlCm/fviUyMpLr12/QuXNn/vrrL0aOHka58mW0fRs1bkDhIgVp1649T58+RSKRsHq1F41HjaRoZCRlgI7W1tSRSEgfFobgVp+DR7bjlMIJgE+fvlC3RlNeLFrFoehQFIAC2B/+g8bfvuMeEIBy5kyUEyci5MqFkDMnqnHjUM6bS8MvX3D49IVjvmdYMm817eu2o9rZ67x3cibC2ZnLVjZEeW2jdvlmXL8S98AopWyFkuz2XUvKVM4A3Lx2l9ZuvfjxLUz8acVf6WRSThBHbNOfTsricRIiZUuIOfEu66Xnda3TB7HgBCdzfRM8LMICN7leuyVu8iR0X8/yXsKMjYvx9vamRQsPPdXg4GCaNnUn4ONn7m0/p5eG9Se4mRPC/Rjwmct+15DLFeTPk49yxUtp8SQSCYIgUNqtBllzZmPffuMkFxgYSP78BZg8dCwj+wwmc9n8dO/Z3WS5RgA/Pz+qVq3GpUOnqFC6rFH7Yo0w2WbKBdy0fUvu3L/LiZMnyJ8/v57Kly9faNCgITKJFL/z1zQ/QhOBaT9ng4l+RkRcJjQiIoK0GWJd1oH6Lmvx6Vn6oubGjZvUrFmLY8eO0qJFS2rVqsWWLZsNjrQ8d+4cTZu6M3jwQCZPmai39yogEBERweSJU9m6ebvmvOlYyZEjO0NHDKJLt46a74VOP3//j3i4tebli9c0bNiQSpUqERYWyo4dO3n37h01alahuWdT6jesS4aM6fUeQhrUaU7pu3dZGa3CL4M1h/LaIxGg8Z1wykSpkVhZEfPls2EOc1QUttmyM9fenuOlC3P3xAUep01L+vBw1C1aoM6TG+nFS8jOnsUnY0Y6REVwwc+HDJniaoWreXjvKZ5NevDt63cAipYoxM7Dq0mVxln8Self7US6nZPd1wnjiLH+Dfe1eBxz7muAjkUNgxXFkmhC/rTonD7p/X8lZUgU6cXIYyjQugqt2rZmwYL5GJPXr19TtGgxlo+eTWe31kZxtOP8JHkatJvDFbUbw/3w+SMjZk3g0OmjqHTKdxYvVJRpw8bTsKYrAA+fP6FU42ocOLCf+vXrY0q6du3Kgzv3uXf8Cu0Hduf20wfcvXvHZLGLMWPGstnbm3fXH2PnINq/+0VSDgwKoq5HI/w/faRjx464uzfFysqakydPsH7deqytrDmx34d8eXXI+g8g5Tdv31K4mCanuW6dOpQsWYpuXbuSK1cuA1zxj/3Bg/tUqFCRrl27sH37Dl69eqk9d1osY8aMZfNmb569eKw5OMPIfnRoaCgXz18iLDyMzJkzUaVqpdh8dB0vkk6/iIgIdu/Yi/fGbbx+/RZbGxtq1K5Kj95dKFe+jGHqkiBw5/Y9PKq58UkKPvnsmVjVRXu9Ai9/58JrNUViYogJ+ALOzgb9bXPkZJVMxkSlnA02tjSOkSM/fQqhQAGtmnTLFmx69qK1rS05RvZk+FjNaVnBQV/ZsHorG1fvJCT4q1Y/c5aMHLmwDZmVlF1bDvH4wTOkUimlyxejRZvGpHCKPRIzycg0mZTFWH86KSeGkC1yWeu5oc24r0HkHjbjvhb3TSr3tUG7JXvXSeDGPXf7CiHfv9Kzp+GJN3GSO3du6tSuza5TBxHfd5LKzWzQbg5X1C7Gff/RnxrtGnPz8V3mz5+Hv/8Hvn4N4dChg6TJmBb3Xu3YcXgvoElfAiigc5MzJgULFiQwOAiAPh278+LFC7y8jEcjPnr0iPXr19OlVQfs7e3Nu381kzPZZsx9nT5dOk7t86VB7Xps2byZBg0aUrduXVauWIWnuweXj58lf558SMzg/hPua92+y1Ysp3ipEtja2lKlShVsbW1Zu24tRYoVZdTo0ZobhBn3daFChcmaNSu+vkdo2rSpSTIG6Ny5E1+/fuPypSuxWIb70c7OzjR2a0Sbtq2pXqOqNqJet2qTbj9HR0e6dO/EmYtHePvxMc/e3GX1umVa97ZBVSaJhIP7fGlnK8NGgCVlnPQeXqxTWjNNLkcCWM2ZY3jdrl1HEhSEb0gIEcFfaRDyFWX/fnpkDKDu0AF1uXKMS5eOPdsPA/D65VvqV/Xk9fz1XLC1556tLRljx/708QvlC9WnZK5a3JqwkIqHj1H24BF8hsygRK7a7Nx8EEjAPWyR29nMvmay+9r463/ZfZ0YsbjmXjIpx71hpk0tEPxd8/ScJ08ezEmevHkI+fEttp+o8Q8j5YFTRyO1seL8+XP07t2bNGnSYG9vj6urKz4+PrRt24aeYwcT8u0rLrErE3//j5iTjx8/4uLkjASoVr4yg7r1Zdiw4QwcOJAnT54gCAJfv35l8eIluNatR65sOfhrUPxReUlFymq1mvnLFlG2dhX2HNpHWKzb1dHRkY6t2jJr4jSyZMqs0/ffJ+V169czcvQo+vTpw5s3rzl16iR79u7h1auXTJ8+neUrlvPXhAkGuLqkbGVlRY8ePfj+/TuZMmXCnMS1h4bF75kaI+V4EXmhTJCypbrfv4eS2UrCVzspwQ76NzznvPbskUlQSSRI129A8uRJPM7z51j36UNA2rScFAQyAFYxMQgV9NO14kRdoQJZYmIICgxBqVDSoUU/Bkcr2BcTQ8EsWSg0YQJnu3Uja1ylO7mCLGqB1WqB9gh0VQtcAo6iYHKfSezb4WswRlKRsoFuMikbf/2Hk7LFhAzJpBz/hum2VClcAHj79i3m5M2bt6RyctEZU6SQhKScaFxRu6AWeP3hLccunGLcuLFkzpwZsUilUmbNmoVaULNxz1ZKFylBjizZ2LRpo0kTIiIi2LVrNy0aNgU0RDF/wnTmjJ/KoQOHKF26DM7OLmTJkpWJEyfSuE59zuz0wdnJWY+sfpWUBUFgwJhhjJ06kSZNm3DjxnV+/PjO48eP6N+/H+u2bqJZx9bIY+Sivv8eKUdHRzN5yt907NiBuXPnkCpVKm2bg4MDQ4cOYdKkiSxZuoSPnz4a4OpS55AhQ0iRIgUPHz40OlacPH6sIbeMGTPq2/8Pk3K6dGl4rRBIG6UmS5hSr4/MVkqp/HbIBIEIuRzb0mWwqVYdm+o1sC1RktCgIKoFB5OvUF6+AmqZDMmTp0bnK3n6lK82Nri4OHHc9yyyl28ZGRyMcuQI5OfOoho+jJzLlnLy2lVyxOZFvwcK2kup2jgN1dulp69rKkqoBLY5SJk0Zh5yucIiEha/TkpS1sVKJmXDNvjnSTnRhGyW9JJJ2aCtVpkqpHJ2Yd269ZiSd+/ec+rUKVrWdhMRLfrE/G9ESYvk7NWLAHh6eprUSZcuHXXr1OH0lfPIZDL6d+rJtm3b2bdvv4GuQqGgb9++REdH06tdV+37UomEYT0H8PbKQ/av2crCSTPZsGAlb68+ZOOClaTUSzlKmJTVajVPXz7n9v07Wte4mBCPnTrBWu8NrFq1kqVLl1KsWDFsbGzIlSsXf//9NwcPHuDi1UssX+dlhEz/HVI+ePgQwSHBjBgxArlczrRp05g2bRpyefxDQ58+fbC3t2fTpk1GcePozsbGhsmTJ3PmzBlevXplMFaceHmtIleunLEFQESxCIkg5c+fvnDE5xg+B4/w6tVrg366usaw4nRbtG7GTrmKUCsJo6+HYaXzPbZWCcwKVxEihWwREfSxt+f658/4P3tGsESC6ts3tjk6UvrFW6KtrbmeMSOypUshKEjfigsXkJ06xdIf32niXo99u3wYlzEjQpo0KMeN03OT5yxWjNN9+hDnC4uIUvP+yFdiwlSczWHHtMouNIpUky7oG8d9zmrwLSRl/SuUNKQsxkqIlAVB4IHfC5ZM3crsURtYu2AfH98FGugmk3Jcm+XrXcv2kJNJ2bgNRkjP3taOnk07sGLFCo4cOYJYvn//TudOnUmTMjWt6rpr+hqsUnX//hdIWactRiHHysoKe3txIQR9cXZxIUYuB7XAoM698WzUjA4dOtC6dRsOHz7M1avX8PLyokL5iuzff4DNC7zIkSWbHoYEDUm4uTaib8cedGzRhvRp0xnMJdbg+H46bUqlkoVeyyhUtTTFapSnQoOaZCuZn2ad23DN76YezsoNayhdujSdO3c2Oqfq1avTooUHXhvXGuzJasb950n5waOHZMiQgfz586NQKJg+fQbTp89AoYhPS3J2dqZMmTI8Ea8AdaAiwsNZu3Yt3t7e2NjYUL58BQYOHMjr1691hhZYvHgJu3btZuiwITo3msSR8ps3b+nYrhuFC5SkTauOtG/bhdLFKuLepCW3/e5aTMoFC+Wncv2a9JRKqPUuGp89QQz0C2OgXxg+e4Oo6h9DD5mUdPlz4xsVRbaAAFJHRPCkaFHkgwZSqmxZvKOjWWFnR4ePH4n59g3bipWQzZ6NdM9erAYPxrqpOw8yZmR9dAxde7Xja8h38tnYoC5cGOn+A9jUdcU2R05sSpdBNncuOSKjOA84xdqpDFfxwScE+Q8lx3PZoZRAXTsZjx+8iJ/lb0qJSrDvT5Dyx/eBdGwwjs4Nx7Ntgy++vudZu3AfzcoPZlzvpURFRCeTspFxLCVlcZX0BEVQq/UilAWVEB/drFaDXptaL4Jat69evwT6GoypFvQjgFVqbRS1WfvE7Tr9EhxHLaAbgWxgg4D2/hTXNqbjQJ68fUHLlp40aNCA1q1b4+LizLVr19iwfgOKGDkH5mwihYNOZSVB0I98VhN/fxLboKsbR56x7YmxL36MBHClEnJny4lCoeD27duUKVMGY6JWq7l+/TrVS1UEQCaR4j1/FdXLV2b55rW0aqWJJJfJZDSt25C10xZRoXQ5ozZJ0OENQedN0VxiDdauWCQCyJUKWvbswPGzp2jVypMly5eSKlUq7ty5w6qVq6jt0ZCtK9fTvFFTBAROXzzHtGmGBxroSuvWrdmxYydv378jd85cBjZIBAEh7poZ2GfaXkMc9KOvddt1+j158oTo6GizXg2AyMhIzclURmx68fIFbk2b8uHDBxo2bIira12Cg4PZsWMn69dvoE2b1uTPn58dO3by9OlTho8YRrdu3QCB6Ohonjx+glyhIGfOHGTIkF5jP1JtZLQECc+fP6e+axMcHRyZN28uTZs2xcrKitOnT7Nw4UIa1XNn36GdVK5SURRRLUX3iVSCRBupLUHK6vVLad6kLZXvPmSUClo/1BToOG0jZZYaYgrlI/zrd/ZlzEgWKytizpyhXLasgCZfWb1yJd2HDWeLRELh0FBWOzlRa/oMrBUKIpyd2eDszOjAQBasm0vuvDmxs7PlrTyGyjdvIrt4EVWdOqj69kH68hVWM2aCrS1ZgLzAAwcpykg1ykg1731CyFcvFRJAJYCVVILutzvu5h0XqSuVyPSidnVfG7Qh04sylkhketHOZvuawZJIpHqRziEBP+jSZBxhkeFkqZcKx6y2SKQS1Ao1oS+jOO17ja/BP1i2cyxWVvG45uwxsE80F7Gurk2WzCVBXalMGzUtlUj1Iqp120BDyiohcbp6c5NKDaKvTUmi054+Ljij39FcylFySpS2TaVSseX4XlYf3Mz9l5oiIE6OKWhXz4OBrXqQM1M247gG6Ui6f/9a6pJJ+83gqlQqCjSuQIXKFfH23mQ4Jpp6yG3btuPCNl8qlSmvhysIAm/93xMRFUnm9BlJkyq1Xrspew2+nBITf2sMBmDqotnMWDKPPXt2U69ePT0VhUJB167d8PX15cml22TKkBG7bKlZuXIFXbp0MZhTnFy5cpU6depw98INChcoaNIGwUyaU1KmRBUpVZxXr15x/PgxypQpQ9pYD0JwcHwe8rt37ylUqBAL5s2nT+8+ejihoaGUq1AeBwcH9u7dQ+7cubXwkZGRDBs2nE2bNmFvb0/Dhg3o3bsXVatVJTQ0lLlz57Fx4ya+hmgCF2UyGU3cGjNmzEiKFddUWYsj19o16xH6I4xTp06SNm1avSlFRUXRvHlznj17xoOnfpqjJw2DKPSvi843IiIygu2bd7F61QZePNO42jNkTI9UIuXb5y/kBu4DywsUoMDiRXrHQSII2JQuw8XwcDrJwMnZiWcPnuAAREgkuDauzYChPSlfsTQg0KXtAPIdOskiQNmyJcrN3vEfx9272FSthkSlwk0Cj1qm49Ppb8R81exvO1pJuKwUaApM37uMOg2qaWejN9PfkBJlMa4OVhwBzhi9mr3bT5DNPTXWjoau9IhPMfgf+cq0VQNo4FHFKG5i07T+l1Oi2hRaQEKSaEL2n3sq4TrUyaQc+4ZhmyAIfA39ToxSTtqUqbGx1pwWYza/+A8j5c0Hd9JjwmCGDh3KX3+N156UJAgCR48epUuXrlQpXYGDK7cikUiSLP/ZElKWKxTkqliUZh7NWbRoobgnoCGjPHnyMqRnfyaNHEe+CsWoXrMGXqtNF3+fP38BU6ZM4eOjV7g4u+g3JhUpi9pNkbJarcYhlTOZMmUie/bs7Nmzm2zZsgPxhKxWq+nSpQt79+7j8oVLlCxZUg9nxcqVjB4zmgcP7pMzZ06D+arVaurUqYuVlYwTJ44Dmm2WBg0a8fr1a7p06YKnZ0scHBy4dOkSK1euwt/fnz37dlK9uoZw/Pz8qFGtDrt376JJkyYGYwA8fvyYMmXKsmHzGjxaxG7dWEDKcbpRUVEM6T+aOzv2sy5rVqp++YI0tjTmodSpaf/tGwu8VtGxY0dtX+uevfhw9gzVpBLuPDmPv/8nwsPCSZ8hHanS6H/GpQpWZ51/ACVlMjIolajq10PdtCl8/YZs0yZ4/RpBreYHMKWCE8fz2PPu+FeiQjQ2pADsMqTmzotT8YerxM5Ab6Z/GClHhEdSq3Bn7PNZk66sE6bE/8g38mbLwbrDk03iWpQ7bfZwi99Pypp2tck2c4dSmCLlxBCyhXnICZS8TN5Tjn3DsE0ikZDGJRWZ02TQkjEksBf8s3vKse1qtZr3n/158fYVEVGRRu0zsN8Mbkf31swZ+TeLFy8mT+68dO/eg0GDBlG6VGlatGhJUtMYfAAAukNJREFUxRJl2Tp/tZZskyr/2WAtLpj4G7jqd4OAoEA6d+4k7qUVZ2dnPDyas//oYQC6tevErt27+fjReIpWREQEa9aswdPdw5CMjdhgsKdsxl5zdanN7SlLpVJat27F/fv3adrUXQdO4OrVa7Ro0YI9e/ZqyNve3mDvevNmb9zc3IyScRx+v379uHTpsnY/ecSIkXz48IGzZ88wd+4cypcvT9GiRenTpw9Xr16hQoXydGjXiYgIjfv41MkzpEyZkoYNGxodIzg4mGPHjuPs7Mz40RMZP3YSL1+8+qlAr62bdnJ3x34eODlRTSpFNWUK8pWaYv5u4eH4pU/P4D59efo0fj9d8vgRAVIpKVM6I5FIyJYtCwUL5yd1mlQGNgQHfSO3NWxDRS9HBz7fvYd1/wFI//6bq1FRDBQEZMAdYNH1MO5vD+RDiJK4hKpwIDI8mgd3xBHd+t/u35GnbDGuDtb715+JioghRXbxyVb64pDNmid3X+u9Z7gX/HM2JLSnnNi99gR1DfaCpSbbxFHT5nTNBeiJ5SfTniwg5UQeLPGfJGUzJJJktaV/gpTlCjlLt6+hhGd1CrpXpHjL6mSvV5x+00by8v1rA/uMzs2EDYM79uaxz1V6tOzAiwdPuXnpOsXzFObEhn34eO3AySHFT+GK23+WlEPDQgE4duw4lStXJkeOnBQpUpTRo8foRRBnypSJsLAwEAR6duhGujRpadLEjSc6easAnz59omXLlgQHBTOi/xCxFcbtQUTKZuzVvLaMlKVSKWVKl+HRw0ccPXoUpTI+kCtnzlzUrl2b589f0KBBA9KmSRtPujrjfPjgT6lSJU3PByhdulSs7kcCAgLYvXsPY8aMoWjRoga6Dg4OrFy5im/fvrNr5x4AoqKicXZ2Fq0INbJhwwby5s3H33//Tfny5Sldugzbt+ykTIlKDBk4ApVSvEo2TcqCGrxWbGBTlizYpElDzJXLqIYOQd2lC6ratREyZiRfUBD9HB3x8lqtQdt/AOntO8wJCKSpR0OjuLqk7OSSgiArCaXSWbM7J+T6HoIVYKVU4hoZTJrsNsgl0AwoAoywlTHRVsYnwCY2JSoyIpJWTXpy69p90dz+bFK2RBIO0Ep6Uha3W5Km9aeRcuIJWXwz/Q2nPQkqIdGr7N9KypaMYwEpJ5qcfoGUo6KjaD6sM+OXz6Bs5fLs2bOb48ePMWLkCI7fOEfVzo25/sDPwD4D+83YkCtrDqYP/otL249yffcpNs9ZRc0KVePd0D+JK27/GVKOjIpCJpMxY8YMcubMRZ8+vXF1dWXLli2ULFmKzZs3A5qc2owZMgCQNnVqjm4/gDwqmtKly1C/fgMGDx5MyxYtyZ+/APfu3uPgll0UKVjIkDxN2cPvJeVe3Xtw8tQpFAo5Z87Ex3eMGjWKw4cPcfDgAS5fvkyXTp2wsbHR6asBs3ewJyR2D9iUhISEABqyPXnyNAqFgg4d2pvUz5EjO7Vq1cTnsKYARs6cOfj48aOB52HHjp3069efDh3a8/LlCw4fPsTu3bt4+fIlCxbMZ/OmbYwcNhYJUtFK1TgpP3v6gsCXr6nw+TOqAQP0zlJWzp2DJCwMbGwYB8i2b8e6ew+sO3bkfMaMnLS2okPnNkZxNX9rbGju0ZiNSgnVP8tpnNOOXO3SkqNNevK0S0+Jhs70DlFyyEFG+nw5GLhxHpKB3bEd0pMZe5fz8O0FqlTXxFSEh0XQpmkvrl70E129P5OUc+TOjJ2DLREfYjAnkf5yChbPZdSGZFJOvCR+D3n2ybgR9QF+17nIP7sfbWZP2UDX3J6yqG+Ce9e/Yc/WADcRe8ojF05m/aFtHDx4gOrVq+uph4aG0qxZc149e8Hjg1dxtHdIWvt0/o6RxyCTybCysjLa/jv2lL/9+E4J18qkTJ2S/QcOkD17fDpVVFQUw4cPZ9Mmb9auXUvPnj1ZOGU2fbvElzaNkcvZ63uQrXt2EBAciIuTCx5N3OnQsjXOuvnPGoPFVhjYo7XXzD7xz+4pKxQK3Fo049ZtP6ZOnUKRIkWwt7enaNGi+PoeYdSoUTg6OHL+1BlSp05tsB89aMhgDvv68Pz5M00UthEZPHgwhw4e4tnz56xdu5axY8fy48d3U7MGoGvXbrz/8J4TJ48SGvqDfHkK0adPH6ZNmwpo0tEKFixEhQoV2LJls9HgwBUrVjJ8+HBu379GnryaYDP9fWX9h+Rr127Qq3Yz3gHyQwdRu7rqX8KXL7Fu1RrJkydIgK+pU7MSmBUZwfodXtR2rWEUV3ev+uXz19Qq04BjtlBBrmZffgduZrQhR6iStk8iQSlQUS7Qf+nfdOwmztVXExkZRdfWgzh/5ioAdvZ2bNq1hGq1xVXCfv+eslqtRqVWaj0XCeFOGbmc/Ts0QV1WRoK6Ij/H8MH3KzNWDaGBR2WTNvwTe8ridkvqcf/uPeVWBeeSkFjusv4HVsoGfS3ZjzazUjbQNbdSFvVNqpWyQbslK8YEVsqhEWFsOryDYcOGGpAxaPZON2xYT9C3EHYdP5Dk9n37/p25a5eQv145nEpmw6FYZmq2b8IO332oVKrfvlLesHMLwd9COHT4kB4ZA9jb27Ns2TLKli3LkMGDyZg+A+09Wunp2NrY0M6jFb7b9nHrxCVO7/Wlf7deuDi7JHwmsRF7tPb+hpWytbU1e7fvokmjxgwfPgIPjxb07NmLPHny0qFDBwrkz8+JI0e1tanF9vfq2ZOAgAAmTJhoNHXq4sWLbNrkTY8ePbCxtiZTpkzI5XJevHhhoBtvusCjRw/JnFlTYtPZ2YVBgwewYMECVq1ahUql4vjx43z8+JERI4YbJWOAbt26kjp1KjZu2Bw/dzMr5YwZMxIAKOzskF69amhX3ryQIgUPsmTBSSYjU1gY9+rV4Mi5A9RxrWkSV3elnDd/bhaumUvDGIH5NjLqvIxi4dnv9L4TzgmJhPJygSpdWtKxqyeS2P90cR0c7Nm0exl16msC3qKjounUcgBnjl8WWft7VspqNfjuO0ubBoMomNaVwmkb4FqmMxtX7CUyLNrsOH2GtcHZ2YmPR78T4R+j/b6olQLfn0by6eQPylQujGvTShbmFyevlMVi+Qo5fkR9oOSVcqyN/95Ked8ZXzpO6Mfz58/JFptzaUzcmrhBhJLDy7YlmX3vvvjTsIcn/gGf8PRsSY0aNYiKimLf3n2cO38e97qN2LZgDdbW1r9tpVyiXiWKlCymX5lKJDt27KRr1674bN5D/Vp1Y4FFShZFPv+7K2WAdx/es2vPbgKDAnF2dqa5ezOKFjHc5xX3XbZiOSNHj6Ju3br069eX4sWLExwcjLf3ZtatW0flSpXYv38/tra2REdHkzdfPjw9PVm40Hi06KVLl3B1rcf+A/twrVcH0KzGRo4YhdeqNWTLlo3MmTPz5MkTAgK+GMWIk5YtPVGq5Ozat1XffhMr5QZ13Bnx1h+PyEjkJ08gFCumbZNt2oR1n7542tiQpkcHxk0cQQonBxGu7rfJ9Er5xrXbLFmwipNHzuAoQCRQsHgBevfvSuv2zQyefMS4MTFy+nQewdHDmm0GGxtrVm+ZT73GNUDUU1d+ZaWsUCgZ2HkSr3wvMcpRRiOlGhsBrltLmB+l5n2uLGw+NI90mVKZxPnw9jNDus7g6f3X2DpZY2UvQx6qQBGtop57ZSYv6odDCnuTNpiz9//LSrll/lkkJIkuDCIu8mFQTMJcIQ8zRUDMFQ8x6GtJ4REzxUMMdM0VDxH1TbBIic51MVecw6DdXHEOMa6J4iE/wjUBTVmzZsGcZM2WlQc37yWZfWq1mhYDOqGSCty5czv+2D+gZ8+eHDlyhDZt2vLXwmnMHvX3z89bLYAErvhd5/6Th0gkUsqXLEuposUB+PD5E+27mI6uBihZsgSAXjEWs4U7RO2GhTsE06QswtUrHiJu/wUbMmXIiEwmI1PGTPTq3gPfY0cYMWYUb9+9w87Wjrq1a9O7Ry/y5cun13dAv/5kzZKVaTOn4+HRQosnk8lQqVQEBARy4sQJ3NzcsLOzY/DgwUycOJGiRYvQrVs3vc/p8ePHdO7chVKlSlG3bh1tgRCpVMr8BfNo374da9es49ixE8jlclQqldFgrziJjo7Czt5WryAIoFd4BJ3iIUOGD6B7y85USJeOLFWqom7aFCFvHqQXLyG9coX9GTJwKiaaq8P74eSUIvaSGi88oosrbitfsTRbdq0mJCSEoMAQUjg5kjlLBp1rITGLa2trw+rN8+nXbQyH9x1HLlfQo90wVm6aQ5Nmrjp9JeiSskVFPkQFN+ZMXMb3o5e4YyVBqRI4nM+BSCsJrm+jORehpt/HL/Ru9xf7z67Us10XJ1vOTOw5s4Q7Nx9x2vca4WGRpMuQisYta5A9t8Yj8vNFP+ILiPxK0Q9xQRNLiqqY1TUo+hFfFMRc8RCxbmIk0SvkDzM0uYjiVWnyStnEOP/CStnn8glaj+nJ/fv3yJcvH6akTu26uMgc2LtgY5LYd+ziadz7t+fMmTNUqlTR6JhTp05l8aIlvD13Dxcn50Th6olUwunL5xk+fTwPnz7GysoKQRBQqVRkz5KVymUqcvTcCbr36MH06aarbl26dBlXV1duHj1PqaIl9Mn1P7pSjoiIIE0WTYBa0SJFePjoETVqVKdcufKEhv5g3779hISEMHfmbAb066/XNyAwgNqudfn+/Ttubm40bNiAatWqcefOHRYvWszJU6dYtXIlnTt3Rq1WM2zYMLxWr6ZQoUK0bNkCBwdHLl68yLFjxyhUqCAHDx0kU6b4wyf0V7QCfrduU6N6bfbu3UOjRo2MXq7AwEDy5s3H5Cl/MXBwv9ie4pWn4Up51Yq1TB0xkZEpU9LDzg6nmBj8HRyYHhLCETtbduzfRPnypc3gJH6lbGxuluAqlUoG9xrP3p2aADiZTMbStTNo3qqRWVxLV8qh38Mon8+Ne1I1ihQyujZKTbiN5t4lEQQmXw6l+bNIcggw6+AcKlUv9VPFQxJj0//3lXJiVsgW7yGL92+T95RNjPMv7CnXLVud1C4ptakdxuThw4dcuXqFtvWb642vZ4OF9u04so9iRYvGHjpgXLp3705kVCSHTh9NNK6u+J4+TuOunqROnxZfXx9+/PjO9+/f2LVrJynTpGa3734iIiPZsmULSqX+CUC6smXzZrJnyUrxQhqXrp6H8Zcin/+A6GsgOCSEK1cuc+zYMaZOncLixYt5+fIFgwcPZsSYUezeu0ev76gxo4kID+fy5UusWrUSd3d3UqdOTZ06dThw8ADdu3Vj4KBBfPr0CalUysKFCzl29CgFChRg+fIVzJgxg8+fP7NkyWLOnz9HZtERjvp7vxLKlC1N6dKlmDJlKuGxR1zqT1dg0qTJyGQy2ndsq9NT9MBmZE+5T78e+F46xvMm9SgSHUXq0FDqSyHLkD5cvnWK8hXKGDzgiPONxXu/ptsM52YJrpWVFUvWzKB1h2aAphLegO5j2bXloEncqKho9m0/ysxJS5k7ZQUXz9zQezI0tg973OcC5eRKCkarmVfeSUvGoHkwnFveCYVMQk97GYd2njKJo/c6kQdSiF8n7yknLIkmZMEMeSaTsolx/mFStrO1o1+LbqxcuZKdO3chlo8fP9KxQ0dyZ81J05oNDMexhJR1XgeEBJE3Xz6TQToAmTNnximFE0EhweZxddti5xYdE0330QOo5+qKr68PtWvXRirV3NTc3Nw4d+4sZcuWJXPmzAQGBjJx4iSjgUqnT59m67Zt9O7QTc9d+r9Eyps2baRUqVJ679na2jJjxnQaNWzI9Fkztdcm4MsX9h84wIiRI40WCJFKpUyfMR0bGxs2bNigGU8ioUaNGmzftg1/f38CAgK4fPky3bp11VZuS4i4li5bxOvXr6lTpy4+Pj6oVJrVxK1bt2jTpi0bN25k/sI5pE6dRoSTMCmXLF2cFasX8e7TE4LD3vPg2Q3GTRypf2ToH0LKMpmMhSun0Km7JipbrVYzpM8Etm7ca4C7ac0uyuSrz/qef5Fqw0GsVu1mlPsAapRqwY3L9+JRRUQQEvSdfNYarLvpbRBLuI2UV6msyC0TCAr4ZhInKUnZPJlaUMjjP0bKiRHLKnUlk7JB3z+NlEd1GkBr12Z06dKFWjVrs3LlSrZs2ULfvv0oVqw44d/D2L9gU3y1sJ8lZZ2+qZxd8Pf3x5x8/fqV8IhwUrmktHjee48eIvhrCLNmz9JLo4oTe3t7pk6dwvv37+nVq5fm0IJGjfHx8eHdu3fcuHGDQYMG0by5B67VazGs1wADkjMgZb3X/x1SNnXwh0QiYeCggTx99pQbN28CcPHSJRQKBa1btzLaB8DFxYVGjRpx6vRpQ/v1XiWeuEqULMmx4z7Y2trg6dmKtGnTkT59BqpVq87du3fY6L2Wjp3j8p0tIUQLdP8QUpZKpcxePJHufdsBmu/7iP6T2bh6h7av1xJvFgyZwVVbe+4AU8LCmRseznuplPkRcjo37cetq/HFRnRJxMk5BR9ji6zk/W7oObJRCmQPVfJFLcE5ZYqfLh5iCSmL+5ojZXG7JZW4/ouk/EunPSUHev15gV4ymYw14xfgVq0eXvu9GT58BIIgkC1jFkZ27E/35h1ImzI1eiIeR9cGc/bF9m1etwkdRvXm4cOHRqs4AWza5I2VlRWNa9YziysIAhevXWbF1vWcuXoBuUKBrY0NxYsVM7svXrVqVTJmzEDq1KnYsWM7AwcOwtMznmgyZcjIX4NGMarv4Pi8W1HgVGJPWhK3xRGiYEpXV0TzTqpAr8RIHFm/e/+OCuXLEx0dDWhI15y4uDjz8kW0cfvR5WnTwVCa1/EBWSVKluTs+VPcuX2XK1euoFSqKFAwP3Vda2u9F4kJshLjWqQrkeg96OjjxPf96P8J7/Xb8Tl0nNAfYWTImJ5Wbd1p3d4DZxcnI331r4op3Dh7JRI10+aOxcrKGq+lmwAYO3Q6crmC5p4NmTVhMc/TpycbAvLt21A3aQKRkcjWb6DZhAmsS5uW8UNnc+Ladu04cYFJro2qMmXEPD5aw0C/MPq7pkKl8/vt8jCClDEC61ExqGkNvb5xfwMkJjgqjgCT4lQmi06uMhOglVCgl97c/qFAL3NiMSHDP0fKQOL6JpOyXptEIsG9RkPcazREJahQqpTY2sTWojUZqf3zpOxeswHZM2elZ4+e+Pj6kEanUhLAzZs3mTljJm0aeZAulc6JPyJctUrNiFkTWOq9moIFCjBw8EAcHVOwdOlS7BI4h1kikeDg4IhcrsDd3R2pVEqrVq3ZsmQtObJko2yJUjpErDNuEpGyQd+ESJn4vr9MyomUr181Lsm4M63jouGvX79OtWrVjJsqCFy/foO8efIatw9jpAxxpGiePCWUKl2SUqVL6kAbEldgQCD79x0kKCiIlKlS4ta0ETlyZP9HSNnn4HH6dhlEC6mU7enSkgYprwO/8vfo6cyatpitu1dTsUpZo3OzlJQnzxyBra01S+atBWDS6DmcPXmJxlIp2QMDiTl9GqFyJU0XZ2dUQwaDPIaWU6cx4MsXbl69S/nKpfRIJGPm9DT0qEv/g6fZ7R/DroPB7C7gQIS1hPpvo6n7LoY59jLC06SmbuMq8Z+iucjtBAgxqY5K/CdI2QA3AVIGHQK3kJQTI4nfQzbr4rXMfZ1kNax/tm72/xP3NWi+CFoyTkD3Z93X1tbW7F24kY8f/CldqjR///0358+f5+jRo/To0YO6dV0pkq8gC8fNMIu7ZJMXS71Xs2DBfG7fuc3YsWMZNGggPXp05+HDh/z48QNT8u7de96+fUuBAvk1845dZVWvUJlKZcpjbSWqRmXGJW3uUAdzrmODvgklMOi5nRNwXyfShrCwMJPDbdu2FQcHB6pVqQpAlUqVyZ8vP0sWLzF5rvLZs2d58OAB3bp2NbRJRwwfPXQyEhJ08UqMtkVFRTGw3xAK5S/O+LET2bp5B1Mnz6B44bJ0bNeV79/0vw9J7b6+eeM2/TsN4FLq1GyOjqZElqxkLlGCGlFRnFWr2YaE5g3bs2DOCjNzM2WfoftaIpEwdvJgRozvp3333Kkr2NrZoc6fP56MdUTVqRMypZKGtjbcufVQgyRyt05bOIqXhfNSVyrhc5SaiVdCmXv+B5kCFHS3lTHD1p41O2djba2/x2x2LzgBl6/4AAizuL/BfS1uT8rgMz3dBNzXlpbPtGwPOQFS1ms3Q8qGfZOIlEV9EyJlPWL4HyZlw9Pskp6Ui+UvzKXNR/Go3YTlS5fToEFDPDxacPn8JSb1G8Uxr116ub9iXLlczvz1y+jWrSt9+/bVW71nz56DqKgoVq82HT2+aNEiUqRIQYsWmnza48ePkzF9BjKkTW/S/n+ClBVyOVFRUZw6f4a13hvYvGsbHz9/MtrXLCmbscHOzo6t672RyWRMnDDR6GHojx49YsmSpbRt1ZqUsS5qiUTCxPF/4ePry4gRI7WnNGngBc6dO0enTp2pUrkKtWvVNmKDaN4GoyaWlPV7S5CiUCho27oDu3buYcqUKbx9+4aXL1/w4cN7li1bysULl2nayIOI8AgzuL9GyovmrWB2qlSU+voV+dYtCHZ2WB09ChIJQooUNP7xgwdqFev+XsDqFZtM2GD6gcPQJg0pjxjXj/F/D9G+uz00lAlfvxp/aIqtU24llaLW+U3pkkbKlC7sPraKcmN70t45FQ5ojoMsK7UmpoMbhy9soGDRPLGXwQIySiZlzd9mSNlYuzlJdB7yu7994zslmDOs89pMnrK47y+di/wrOc66NlqQD/2v5CmL+5rJUzZoF98DLcHRfW3Evs9BAWw8sJ17Tx8iIJAvRx5a1G9KyYJFkUrNfB9iXx89fwr3vu24efOG3j705ctXaNSoEVmyZOHdu3fMnj2bnj17YGurWfWHh4ezcOFCZsyYycyZMxkyZDCvX7+mQoWKDO3Wj8nDxhp6dcXMoftadB1MnUlsTDeuTaFQsHXvTlZtWovf3TsAWFlZadOxZDIZ7o3cWDRjLhnTZzDANZunbMaGjVu86T2oH7lz56ZePVc6d+6Mg4MDO3bsYMWKleTInp2Tvsfi94xj+3qtWc2wUSNwdHTEzc0NJycnrl29yt1796hcqTK7d+wktWgbQt8G/SbDG4rOA2sC+bpxvbds3kqf3v05csSXWrVqGSA+ePCAGjVqMnzkYEaNGZ4ArgX5xLG3w+CgEArnKs13Jyds27ZB8uYN0lt+KLxWoW7UCCQSbEqURPXqFbcQqG1jw6PX17R7yubmZqxNbBOoWbVkE5PHxtc/HtqhA9NXe+n9VmUrV2I1YiTZ1WrmHFxB9Tr6qYfivFqlUon/u88oVSoyZk6Lg6NOdS29/GILqoElkNubVOcXW3TGs5n84qTMndbTNZOnDOCWezIJSeIJeZKP/g08mZSNtv2XSdlQN2FSFgSBGWsWMmvdYmxtbalYsQJqlZorV6+CADOHTqB/+x56OMZw1+/ZQp+Jw4iICNcj8Lp1XYmOjubkyROMH/8XK1euJG3atNSsWROlUsnp06cJCwujfft2rFq1ipMnTzJo0GDsrW25sv8kqVOm0tgpmvbvIuXIqEiad2nD2UsXcK1bF/dm7lhZWXHq1Cn27z9Avnz5aNu2DSuWr8Dezp4LPqfIkD69Aa4lpCwAy1evZM7CeQQEBmJjY4NcLtd+lg4ODnRq14HJf03EJaWLCEej8+79e9ZuWMfpM2dQKOTkypWbbl264FrXNf7zsKCgya+Sco1qtUmdOg2HDh00QIqTvn37cfLkCR4+vY1MJksEbuJtuH/nAS2rNCIIUMyehfXoMcg3b0bdMr6imdXkycQsX4FjeDjVgSYLJtOtd4cE52aqzRgpz5+5krnTlmvf6d+iBXM3eyNRqZDuP4B1376cdnamp70Vl+4dRCqVWkaeZot+JJNyQjgGumZIOTGEbJHLWs/VmWB60n/Hfa15nTj3tXichNzXZveuf9Z9LZIE3c56RztigW7C7uvZ6xYzzWs+I0eO4NWrl/j4+HDk6BFevnxBt+7dGDb7L1bv2qSHYww3haOmnGFAQID2/adPn3L58mWGDh2Kvb09CxbM5+7dO7Rp04agoCB+/PhBnz59yJMnD8eOHadgwUJ4eLQgW4bMnNp6kFTOKbVYBu7U3+S+Hjh2BNf8bnLs2FEOHjpIt27d6NSpE97e3ly/fo1v375y4sRJzp47S0RkBGOm/GUU1xL39fjJExg+dhTZsmdjx47tPHr0kMDAABYtWkjatGnJmCEj48eM1ayMDXA0b+TInp2pk/7myvmL3LxynV1bt9PAtb6+dyMRaVoBAQFcunSJa9eu8ePHD06ePImXlxebNm3m/fv3mrkl4L5WKlX4+d2mWTN3zEmzZu58/PgJf/+PicK1xIXukMKRCEAtlSK9fAXBzg61e1P9Ph/8Cbe3JxBo4Cjj/r3HFrvm9VvE31Ipw8f2pWbd+GCr5Xv3MjRdeqxz5MSmUyduOjvT7PNnJs8eof2sLHIzm01lSnZfJ4RjoJuA+zohsTzKWjeqN8H0JJ12M9HX4r7moq/FfZM0nUo3ethM9LV4HHPR1wZz+xeirw3a1eg/ipnVFbXp2BD87Ssz1y5mxIgRTJw4EV1JmzYtCxbMJyoqkklLZ9HBzRMHe52C/iLcuhVrYG9nz+bNmxk1ahSgObMYoGbNGlq9AgUKMHfuHL2xoqKi2LZlKy3rNaVV42aUL1VWa7+uvRJEfCS6vr8aff3py2e27t3B7NmzjZ62VbhwYZYtW0bLlp4EBQUxeMgQ/v77b+ZMnkG6tGkNcM1GX8e+vn3vDvOXLgLg1i0/2rTRVLcqXboU/fr14+zZM9SoUZPJU6ewbNESEzj6c9WVBGt3x2I9fvyYaTOmc+jQIW2hD2traxQKhdZdL5VKKVWqJI6OKQgMDMDe3oF69Vzp3r0bWbJm0a4Y4/bATR0LGSdx5zyrdB6QzUd1AzoR2BIkqAU1Vy5fZ9/ug3z7+o2UqVzw8GxKxcrlyZw3Fzej5JS7fFkzb52Ha8mrV0j37WOTnS3dpaBGor0sCdsQ/000H32tsXfb/pV0bjWQk0fPA+AVEcFDtZoo4FVUBAs2z6Veo5o6H0gCkcQWpTKZjnQ2hvv/MfraQNdM9HVCYhl9x0nyStlgHHMrZXH7vxHoZSBJsFLe4rMLiVTC4MGDTA4zcuRIvv74xt6Th83al8olJe3cWjJv3nz8/PwAsLbWPC/GxJg/HD0mJhoXJ2fmj59GhZJlDVa0utfsd66Udx/ej7W1NR06tMeUNGjQgKxZs7J9+w5atfJELpdz9eZ1k7gJrZRHTRin9/rw4cNs3bqV9OnT06NHTxYuXEifPr3Zvnsnod9/mMQxFxGeUPGT69dvULN2Le7fv8/cuXMYOnQIoFnBXrp0kdDQHwQFBbJ06RL8/T9y8+ZNKlasRKFChVi+fAVFihRj69Zt2hWjjY0N+fLl5fTp0yZtAjh16jQpU7qQJUtmLAsg07z+6P8J1xpuNKnXgrOnLvLjWzjnTl/GrX4r6tVwp0WrZvT8/BlVRASSmBishg5FcvMmsiVLsalTh5AUjtz7/oM0ajgUoaRMuZIW2GC6TdxXKrVi857lzFz4l/ZB83JUFJLyJbjx5BhuHvX0emv7JdEKN3mlnDCOge5PrpR/Ou0pmZQNx0lKUv6V2tImcS2IvjbQN0LKj189o2SJkqRNmxZTkjt3bnLnys3jl8+0mKZwZ4+YTKFc+XB1rceQIUOQSDTlMffvP2ASXy6Xc+DAQfy/fOJHWKhZe+Pkd5FyUFAQGTJkMFtoQyaTkTdvXgIDA0mRQuOmlyvkhoqJIOVnL55z+doVWrdurW2qVKkiHh7N2b9/P6tXe7Fu3XqkUhkRERH43b1tWZlQHTFFyjExMbRp14ZixYpx7dpV6tevz6JFixk+fDje3t6UKVMGiURCihQp6NatGxcvXiRlypRERESwbt1aXr9+Rdu2bendqw8nTpzUklO37l3Zt28/z549M2rP58+f2bhxIx06tdcG+FlCyt+/hdK0USsCA4Lx8TnMo0cP8fX1jf2/D19DvrNr+z7S161BBbmcUDs7rDZsxLZ6DWTjxnFRKmN8cAjLZHDGQcqTFA54eLpbYIN5+4y5r7v2aoOX9zxttTq/G/cYNXAKSoW46EQyKf+JpJwY+aW0p2RSNhwnqUjZoD0hUk5kKlNSkrIECQpjZCLqHxMTY/CEaAzXyTEFx9buYUinPhzYewBPT0+USiVz587l8+fPRvEXL15CUFAQarUa7307zM/lN5NyShcXgoODiYqKMmqrBkrA39+fVKlScvmy5nD6vLnzmFDWHdOQlL02rMXFxYUFC+Yb7d6xY0fc3d3Zvn07AHK5wtD+XyTl/QcP8OXLF5YvX0aKFClYs2YtqVKlYvz4cUYxsmXLytChQzlwQNPPycmJlStXULVqVWZM1+SpS5DSpWtn8ubLS8OGjTh+/LjWjS0IAleuXKVhw0bY2dkxaFB/0QiJI8TVq9bz+dMXjh8/Rp06dbQrT4lEQu3atTl27ChBgcGUKl2cPJ5NyaZQcDi2r0Klovznz3gB122leESqmTV/Co6OcVsyv56DbawvSGnqUZ+1WxdovUcH9xyjd6eRKOT/DCkn9gCIZFKO/ft35iFDMiknZpx/hZRFfRMi5aQI9Kpcsjx37t7lzZs3mJJbt27x8dNHKpcslyhcRwdHJg8cw8uTftzYe5oBHXoSHBxMnTp12bFjp9Z9/eLFCwYNGsTEiRMZNWokdevU4ei5kxblVSc1KTdr6EZERAR79uwRI2vl0qVLvHz5Enf3ZixatJiyJUtTMvY8Z6NihpT3HzpAx44ddVaIhtKtW1devnwJQH6d0qNJRcq+vr6UL1+eggULAnDhwnmaNGmsrQZmTFq18kShUHD16jUApFIpAwb05+bNWzx69BgAZycXfHwOkiNHdpo1a07RosVwc3OjdOkyGgKVgu+xg2TKnMkocWntNUKIarWaTeu30Lp1a72zu3UlZ86ctGvXli0bd7By7aL/a++sA5y4mgD+yyl3uLs7xd3d3V0PLbRYC4VSnPJRChR3Ke5W3F2Ku7u7nlu+P3KS3U1W7pK7HN35p7y8mXmzge4v82Qe05bOpEOSROQGhrg5MczDmQJAG/eETFj4F23aN9cUA6JPrPVZerba9auyZM103N1Na+i7/jlAt7YDCPAPsurXVlAGNEFZDmSOCGW1MdkLylFaQ9ahrDyOo0NZ0h8FKDev0ZDECRIxYsRIi8UogoKCGDVyFJnTZ6RWuaqq/QK4ubpRKHd+cmbJhsFgIEuWzHTp0oXUqdOQLl16ChYsxKZNm/njjz8YNWoUyZInx8fPN8Kn2t3itoRyjizZqF+zDr8O/ZUbN26IPfPixQv69PmBPHnysHLlCk6ePMmoX4aZ/Kq8lMJgNEaA+dOXz2TIkMG6HZA+fXoAihUuSrbMQvjYAso+3t6kSpUyoh0YGISnWQEYSxI/fvww3cjZlZIlSwLwyOzHXZo0adl3YA/7DuyhWvWqeMb3pFSpEmzZupEzZ0+RI0fkzIIWKH/++IXnz19QvXp12TirV6/Oq1ev+fD+I42a1ufO40v8umoeoX16ENSzG/2WzODG/TO0bNNEcwzRhXL12hVZtn4m8eKZfozt23WEzi374u8nnrGKXShL/CpAWW0M9oKypZis+lW4uSoqUFa9yzocIGpqWOu7r227+1rSb8T67muRrT13X3vG82DGkAl0/K03vr6+DB06hOLFi2M0Gjlx4gRjx47j1KlTbJm2THDdoZZd3RnTZCA4OJiJEyfi6urKvn378fPzI2vWrNSvX4948eJhNBq5dPEieTLlYNfhfYSGhpIvZx6yZsysard4xGZpzP4gt6MaInYai3chL5w8ixqtGlChQkXatGlNw4YNI+JevHgxwcHBBAUF8ejRI5bNWkDNKmZQ0HgpRaqUqbh7945l/TC5c+cuAD/3G2DFj1n8kue2Hk+4Xfr06dl3YD+hoaE4OTmRI0cOTpw4If13ZybHjh0DIFeuyIw9vCyqh/lOfEwvtTJlSlOmTGnzwMz+JL9D2XxHdXifU9i/Rbl7swGCgkz9Ls6m16SrqysNG9elYeO6gh8sUYnB1I7e7utK1cqycvMcOjTvg6+PH0cOnKRD0z4s2zADj/jxLPpV3N2sadd05G5nTX5ldl9riUG8W1xp97W5rtKuaVvtCBe3lUR1YZCHv26JNJIpuIG46INsIQ/HKh6iaGuH4iHifrkCIJJ+kWpsFQ/ZemgXv0wdzZOXz0iRPDmhoaF8+PiRnJmzMX3I/6hcsry6Z7NQlCQoKIicNYtRo05N5s2bhyXZv38/DRo0xNnZOeLIDUDNClUZ+9MwiuUvbH1MUduI6UX99sM7XFxcSJEseWRcYr6YxWsO5S9fvzBt4WwWrlzKi1emte948eKRJHFismbKQsNadencugMpwqpfSQuPWIGyKIaRE8Yyc8Fcbty4ztmwKxVr1KgRsenHaDRSq1Ztzpw5w5I5C2jWuKlFP5ZjUBfPqTP/UqV6VdatW0uDBg0i/i62bt1CzZo1JfohISHUrVsPb++vHD9+POK7HTVqFLNnz+H+/bsRm92MVsAb/omwZTbjZKHAhnmf0WikRJFyFCxQiBUrllt9tk6dOnHu/DnOXTmGwWCQxmAFympisBZ7+Cda/P578gLtmn6P91dTGdFS5YqyYuNs4icULxtE2ioW59BU9END4RGZghtyxTq0Ff2IegzSQiShVvu0FDQJNYZQJ/MwlCRKQAY7QVlkaysoR8dWsdqWBvgL+r8xKIeEhLD31GGu3LmOk5OBEvmLULlEeZOeebhRgPLsVYsYMP5Xxo4dS//+/QR3Iv/77xmaNGmCv78/o0aNolGjRri5uXLgwAGm/jWVhw8fsWPxOiqUKCPxK47p1ZvXTFs8h8XrVvDuw3sAcmfPSc/2XvRs18W0VqsSygDBIcE8ffGM0FAjGdKmwz2eWdaiCERlKD9/+YJC5UtSrHhR1q5dS8KECSP9GY2MGTOGCRP+oHjx4pw7d44FM+bQsV0HDTEox2M0GqnTsB5Xr11j48aNlChRnPr1G3DhwgUWLJhPvXr1IgpWvH37lsGDB7Nu3Xq2bNlMjRo1ALh27RrVqlWnXbt2TJ5sKhUZEhLCqVOnePHyJQkTJqRixQp4eMYTjy5qqYMywJzZ8xk2ZCQHDx6gRIkSkuc6f/48VapUZeTYofTp29PiGGFfgNW+mITyhbNXaN2oJ18+fwWgWMmCrNoyl4SJxcsHOpSVYrAXlGtlGoKSqAfykM0WXmSxC2VTv/kLXIeykm2slNkUxagVykajkVEzJjBh/lTSp09P06ZNiR/fk+PHT3D8+HE8PT05fvwYefPmFfjx8/OjceMm3L11m3uHLgo3P4nGvPf4AdXaNMTbz4cOHTpQuXIlAgIC2bx5M1u2bKFMsZJs/3sd8T3ja4KynK4toHz05HGatG+Fk7MTHTt2pECB/Lx69ZoVK1Zw584dxo0bx8CBA/i+1/esW7+eh9dukzRpMg0xKMfz4cMHGrdoxpmzZ6hcuRJly5Zl7dp13L9/nyxZslCmTBk+f/7M3r17Afjpp58YOHAAHz9+ZOXKlUyfPoMsWbKwZ88eEiZMyOLFi5g8eQqPHj2KGCNJkiR07tKJ34b/SjzzHzZRhLK/vz8N6jbl5o3bjB07hjZt2pAwYUK8vb1ZvXo1w4ePIGeu7GzbvR4PDw/5bN1BoHz54nVaN+zBxw+m6f9CRb9j9dZ5JEmWUKQrtFVbWlOHsrIfsS/zPtsDGXQoR7TtD2XJOI4OZfE4NoQywKWbV5mzejFHz50kKCiINClTc/bKBZYvX0bz5uJdria5ceMGxYoVZ+XUBbSs18Si35CQEArVLovR2Ymdu3aQLl06gY9Tp07ToEEDWtRrwsI/Z0ieJSzgiD/GNJQ3b9tKq64d8PDwwM/PD3d3dxo0aMD3339P2bAr+169ekWuXLn5feQY+n3/g8YYlOMJDAxk05bNLFi8iJs3b+Ls7ETu3HmI5+6On78/8eLFI2WqlJw/f567d+9G2Hl6etKubVvGjhtHokSJGDFiBJMmTaJVq5b06vU9+fLl5dWrVyxduozZs2dTqnQpNm1eL9pZHjUof/3qTb8ff2LThi24u7uTMmVK3r59S0BAAI2bNmDqzIkkSpTQoi85KGuJwdZQvn7lFi0adOfDu48A5C+YhzXb5pMsRWKrfkGHspIfcUxRgbJ9gAw6lCPa8lD+6P2Zg5dO4O3vS9rkqahSqCxuYeUA7QJlUA09R8iUJf0a/U5cMJ2JC6fz/MUzwTS2WMqVLUe+LLlYMnGWRb/bD+yhcfc2zJs3F29vH0JCQihQID8VK1aMmG7966+pjBw5ksenr5MqRUqLzxJbUP5j6mSGjx8NwIsXz0mSJInFDVX16tUjoUcC1i1bFYUYVMYjthVf1IGRM2fP8uTJEzw84lGhQoWIQirHT5ygRo0aEbd2ieX48ePUq1efX4cN5edBA8WjilqWoXf+3AU2rN/I+/cfSJo0CU2bNSJt+rRs3byN9+8+kCxFUho1qU/GjOG7161D0FGhfOvGPVrU68rbN6Zllzz5crBu+wJSpE4m0o0alCW6OpQVYwo1hqgCsvZa1ibvoh2r5juhre++FvfL7r4W2Srv3DbbRS2z+1oabzR2bot3N4ftov7q58OI5ZNZf3wH/oEBpg0hRiOpkqbgh4ad6dOgI5j7Utq5LVfDWqb+dWztvlYbn+KzKfj19fclYaKEsjAGSJI0iaBYh9jv3BWLSJAgAT179sLNzQ1nZ2f8/PzIkSMHEyb8j3r16tGpU0eGDx/O1r076N62s8VnMd+VLFv7WqQru/NZrCsWo3C3sJubm9XdzR7xPAgKNjurqikGs365eMS24prgGChVsiSlwo45mcvcuXPJlSuX1VKs5cuXp3Xr1ixcsIiBAwfgJPgxbcAcMOa7lA0YePXqFZ07duPE8ZOkS5eOrFmzcvzoSebMmk+JksVZumIh6TOkC3tUcxBE7pIO9xUOQckuaYNBAGVxDHK7r03jWvGrcfd1nnw52LR7CS3qdePVyzfcunGPpnW8WL9jIanTprDoFxR2N2vaNR27u6/F/Zrqcdtx97UaEec+VsUYbP3sMSA6M6ygK3tmODpnnM3GUfBrszPOomfz8fGh2fiebD27j19/+5VHjx7i4+PN+fPnaNisESOWTmLo4gmms7LmvrSch5Y7pwyCH76xeU5ZTXwS0eA3U5oMvHr1iufPn1t1FxgYyLWr18icLqNFv2cun2f/icNkz56dDRvW8+HDe96/f8e+ffvIli0rLVq0ZOPGTSRLlowkiRPz/sMH+WcxfyFL+qzrivuU6kebS64cOa32hYufnx+nTp8mb6480YhBXTwSW5U3V+3fv5/WrVtZ/UEB0LZtG549e8atW7dlz/KaWqb+L1++0LB+U+7fe8D69eu4c+c2+/fv4/btW2zZsplXL19Tv04TPnz4KLCLFNGMlcyZYfEPFfN+uXPKin41nlPOmTsbm/f8TfoMaQC4d/shTWt14cWzN1b9iiV654tlCoRE8ZyyRFdT0Y+oP0tUzylb8qUkqoEMOpStjmkW3/RtS7j17AG79+xm0KBBpE6dGoPBQL58+ZgxYwbTpk1l/s5VHL92VuorlqAsC9MYgLJiYRQrfpvVakg893jMmTMXa7J27VrevH1Lp2ZtJH5DQ0PpPrQfhQoV4uDBA9SrVw9nZ2cMBgPly5dj8+bNNGvWjD59+vDkyRM+ff5MimTJrQLFLOCIP8YElGtWqSZ4pmPHjtGlixcVK1aievUajB8/nmnTpvPhwwe8OnSOZgzK8Vi0VQFlf39/kiRJIuszfHrbP2zGQw2UFy5YwoP7D9mzZzf169ePOBPv5ORErVq12LNnN69fvWHe7IUCO6HEPShnzZ6JzXuXkimLafr94f0nNK3VmWePxWVoI221QFgsclAW2+pQtiyagAw6lK2OGWokMDiIZYc307FTR4oUKYIl6d69O3ly52bh7jVmtrELZVCAqR2gfP/pQ4ZOHUvd71tRr3drhk8fz6MXTzX5TZQgIf079mLKlCnMnz9fcAbZaDSyc+dO+vcfQPPajciXI7fE7/Gzp7h+5yZjx47B01NYkAJML+xx48bx5csXBg0ajIuLC41r1Q8bQKQci1AOL1wBUKRIUWrWrMWFCxfIly8vqVOnZtKkyYwZM4YKZctH1s12QChnyZKFf/89I+vvzJkzODk5kSlTpsgxZMBlNBpZvHAJLVo0J1euXBZ9Zs2albZt2/D34mWEmv3/FxegrOQ3U+b0bN6zhKzZTd/Xk0fPaVyzM48fiGeVogZl5fKYUYeysI72fwPKUZqy1qFsecxbT+/z9tN7WrRogTUxGAy0bNWSY9eFL544B2XzkDT4CQkOYcjUMeRvUp5l29eSNEMqEqVNzvyNy8lbvzSjZ0+MtFfyG2rkt94/06NVZ/r168933+Vn0KDBDBv2G6VLlaZZs+ZULFGWheOnWfzOjp45SfJkyahcuTLWJHPmTJQoUYIdO3bQqVkbUiZLbhaQSNkBpq8/fvzI+vXruHTpInPnzmXlyhU8fPgAL68uHDt5nM3bttooBnXxSGxloNypYyc2b97MkydPsSQBAQHMnTuPevXqkipVKlXg+vLlC48fP6FmzVqyMdaqVYtXr17z9s1bBb+OBWU1ftNnSMvmPX+TM3dWAF48e0WTmp25f+exVb9aM2V7QFnsK65DWY1Eecpah7LULvwavYQJEyAn8eMnIDAoUDJOnIIyaINyWP+YeZOYvnI+48aN4979e6xcuYLVq1dx/8E9fvttGP9bMJU/F89UHYMTBqb/NoHjq3dRoXBpdm/fyZYNm8iSKgPb569hy+wVeIaVYxR/Z8EhwbjHiye7ZgmmKlvJkyZjyojw24jMA0IEJ5FxDEN5/vx51K9fX/BMiRMnZsaMGdSpXZuR48cIv0MHgnLnTp1InTo1jRo14s4dYUnQDx8+0KFDR+7fv8+gQYMi/SqAK3yXvPnsiSUJ74+49ekbg3KatKnYtGsJefKZ9hu8evmGprW6cOfGA6t+taz9ituxBWW1MHVUKEdrylorlNVeLGEMDVUNdEeCcqaU6XF2co64Vs+anDx5kmxpM1kc55uFMvDm3VumrpjL0KFD+OmngYIbgeLHj8+vv/5K3759+WPxND5/+aIhBiMlChRl0e/Tub79FLd2n2HDjKXULF8VybWPZr5yZ83JixcvBOdixeLt7c2F8+fp2rIDHvEi45UgXAOUVV/qoBLK7u7ulC1ZmnTp0tGwYUOLz2EwGOg/oL/pDuVTJ1XHK/7BYU8oJ02alB3bthMQEEChQoWpX78Bgwf/QseOnciePQcHDx5k1apVFC8urKwlB64ECRKSK3cutm/fLhvbtm3byJw5EynNLsr41qCcMnUKNu5aTP6Cpo19b9+8p2kdL25cEf/7F9o6GZx5//YjRw+e5uiBf3n14o2gT6wbOWLMQ1kpBjGUVd9cFUNQ1gxkkEJZAGYZKAOqoSy2VYKy6tue7AjllImTUbtYJebMnmP1Ttw7d+6wfft2OlZtZnWcbxXKq3ZtwMnZid69e2NN+vb9Ef+AANbu3iz/bDI7xJV2dYf3N65RlxTJkjN58mSr8cybNx9fPz+6t+ks8Wv+2vL182X5hjUMmziGUVP+x6ETx0SZqMjWZkA04uLiQmBQILVq1cQ17Jy7JSlbtiwA9x7cl46rlIFrgbLKm6IsjZEzZ07Onz3HgnnzCQkOYe/evTx8+JBff/2V69evU7du3TBldeAyGAx0696VrVu3cv78eYsxXb16lfXrN9ClayecnIRH6L41KCdPkZT1OxZRqOh3AHx495Hmdb24cvGmRb/Pnrygj9dQSuSsxeiGffi98Y+Uy1Ofbq1/5vZN07+juAxlcUxa1rWVoCz3bNZE/RqyGAzBMu1YgLK4XxHKKq9g1Arlnxp14+mTp7Rs0VJyHOfs2bM0qN+ArGky0rJCfevxieMPCRWAOa5C+c7jB3yX7zuSJ0+ONUmfPj05c+Tg9qN70hhtBOXnr18yevof1O3akgSe8Vm6dBm//DKET58+Rej4+/szY8ZMRowYwQ8de5ApfQYrfo3MWDKPTKXz4fVzb1Zv28j8VUuo0aYhBauX4fSFswJdc9F0/aEClN3d3Pn61Rs58fY29QuqXNkDypZszUQCZdEPEA8PD9q3b8+unTu5dOEix44eZdDPP5M6VSqRJ3Xg6tKlE0WLFqFevfosWbIEX1/TNZ3+/v6sWLGCOnXqkCdPbnr06qbKrxCKGnQdBMpJkyVm/faFFC9VCIBPH7/Qsl53Lp69JtB8eP8pdSq2I9WWvdxxDuUWcAN44mKgyMETNKrShcsXTNeM/legbO7r6YPXzB23hV86zmZY1/msm38Q78/+srZKom0N+VuCMtgFyvkz5mTlgL84e/osuXPnoVGjxvTq1Yvy5SpQsWIlEhjisXHoXBLE87QwNS//nWmCsko4xSSUXV1c8Au7s9iaGI1GfH39cHN1sxxjNKG8YO1SclYvxl9/zyFVpnRUrFqJ5MmTM2PGDLJmzUazZs1p3boNObLnYPDgwfRq58WfQ8dY9TtxzlQGjB5Ci5YtuH79Grdv3+LR40fs2bObhEkTU7NNY85evmAesCAkW0A5ODiY1ClTsX37dj6Iz0mbybp163B2dqZimXJW/cYKlMW6Mn4NSCZUhX4tgMvDw4PNWzdStVoV+vT5gcyZs1CwYCEyZ85C9+49KFW6FP/s2EzCBAlV+TX3rVlXAcpCW/tBOVHihKzZOp/S5YsD8OXzV1o16MGZk5citHp3+YXu3l+YGxDCtfTueNVORse6yTiaLR4T/EKYYAyiR7vBEevv/xUoBweHMOmXVbQtP5INfx/k2t17XLx6iznjNtGk6FB2r/tXdhw5UV06896PayONxKUeXWTaMmU2Jb40XcEo+gepqUSn6B+ojN+oluj86ufNhlO72Xn+MN7+vqRJmoJW5RtQs0h50zEVDeU85a5vVCznqbK2tKRfSxlLSRlOy+Nv2P8PnYb/wPnz58iXLx+W5MyZM1SqVJnNU5dRu0K1qMUn6g+3W7drC+1/6kHPnj0ZPXpUxJnW0NBQli1bRr9+/UmcMBGF8uanYO7v6Na6I7my5rDq9/nrF2QrX4iBAwcwZswYybP4+flRvVp1nEINnN52QNgpLikpLjolo2vebzSYitEkzW6qMuXVpQszZ82UfB/Pnz+nUqXKlChcjHVLVoTZyvx70BiDVT+WbM1Etkyogl/hi0v0A9VKOcpHjx6xccMm3r9/T9KkSWnStDHZc2SVsVXnV7OuTJnN6MVgvc9SmU0fH186tfiR40dMEPGM78Gy9TPxTBCPthXb8cIJ1uaLz4TSiQSWXle8+fnMV7IDw9dOpkbdCpFeo1hmU6KroTSlXJlNpRik5THlY5g4eDn/rDpGylIJSZzbEycX0z/MYN8Q3p37yuc7foyc40WVBsKjr5XS/4CSqAby3e9XC0CrQ1lqpxivTO1rie43COXAoEDyNC1LwSKF2Lhxg2S909/fn4YNGvH04WOubTpuKuAQ1fhE/UaM5Ktbmu8KFWDt2jUWd1Zv2bKFNm3acmTtTsoWjSztaM3vqL/+x9Qlc3jw4L7g6kNz2b59Oy1atOTf7YcoVrCw6GFsA2Vv30ggA9SrW5f+AwZQpkxpvL29WbduHRMn/onBCEd27CNDuvRmYwr9vn77hhu3buLk5ESB/N+RTHAzlDyUjUYjAQEBuLm54ST+f9OBoGzJ0nZAjHtQ9vPzx6t1Pw7tN21GjRfPnXpNapBo404WBoZSsW0q3nkKs7x4wUZOrHzNBBcnHrZuxP+mC+s0f6tQfnzvJa0rDCNVmUQk/U58taXp/4EXBz7hGRSPNafGCvCgBshRP/b0H52+lthq2SQmnkIVxy8TX5SnryFKG57EdmBh+lpU8Us4pnR8N1c35g2bzOFDh6lTpy779u0jNDSUkJAQdu7cSc2atThz5gwLRv4VUU0pyvGJ+g//e5wHTx7Rv39/q8ecGjZsSLZs2Vi4Zqkqv6cvnqVKlSpWYQxQp04dXFxc+PfCWcUp3ShPX5t9vGj6XG7fuk2NGjVIkCAhadKkpX//AaRMloIiBQox4NfB/DJyGDdu3wob0+To9r07tOvWiWwFc1O7aX1qNq5Llu9y0bVPT54+fyYbw9Nnz/ht5Agy5cxKkjQpSJgyKc1atWTfAbNZgShMX4eEhPD2zVu+mO+4F+mqnb42tZ0ELet9YtuYn76OXgzapq89POKxZO10atSpBIC/fwBb1u3iIxDoDO88pJjwdzHwPp4TSZ3Bz8/f4Y9EKcWgdvp668qjuHq6kDiPtJCQyc5AskLxefP8E2eP3JTEpCTRO/akQ1lipxivDJSV4pNAWS6+mICy2K8KKNcoXYmtU5fz+c0HGjZsRJIkSUmSJCnNmjUn2DuAXbPXUq5wKZvHd+/xQ5ycnChTpjTWxNRfhvuPH6ryGxpqVLzYwsnJCWdnZ0LD/dkJyuHStF5Drh0/x/5NO5g3ZSY//9CfJIkTc/HKJV6+f4NfkD8rN6yhcIWStO/ZBT8/Py5fuUzF2tU4d/kCEyZM4OrVK1y6dJHffvuNA0cOUaFmFe4/fGAxhjNnz1KiQhkWLl1My1atWLRoIePHj+fZi2c0aNqIYSOGR353KqH8/MULfh32K5mzZiFT1sykTpuGcuXLsXTpUtN6pQ5lFTFoW6uOF8+dRaumUrehaZkoJCSErYGh7A6Boq+DEEvmz8Fk+hrC1QAj6TKkNnn5D0D5wa3nuKd0Fl1sIhSPlG64uDvx+M5LizHJSZRuezIGh0ZMSUtuUjLrk7RDjcJpRLnbnsS6sjc2ReeGKeu3PdnthqlQy7dEhesBWLuNShCDlluiRN+LzW5hEvuV9BH5HgnTq1SsLKeX7ubMtQtcunMNAwaK5StE8XyF7Rafm6sroaGh+Pr6Ej++dKopXLy9vXFzc1Plt2Ce71ixdS3+Yff9WpKjR48SEBBAgTzfWX0WjEbBi1l4W5K8riUoOzk5UbFsedzc3Og79CcqVqjAlL+mkCOHaT08MDCQNWvW0L//ANr16MLNO7fImi0rO3fuENSSzp07N+3bt6NGjZp06dWNo3sOCmL48PEDjVs3I3ee3GzatJGkSZNG2P744w/MnDmLwYMHkzNnTjp36Gg5fjMxGOHqjWvUa1CfoOBgOnToQLlyZfH29mb9uvV836c323fuYNWKlablDtHMduRX4YT5r0HxjUjCG5OElvK3KWnxq0FX5pao6MWg7dnc3FyZt2wSP3QbytYNuzECLYCJhz/yuGEK3odNW8cPDGX08c+8czWwJiiU/R0aR/h0MtjmliiJrpJfM19yt0QpxSDWFd9c5eLqjNF6XgSY3k2hIeDsYv2HgjVRvYZ8p/tK2XVifU1ZaqcY77e0piz2K7emrKhr+/gePntM3nqlmT17Fp07d8aSfPz4kezZc/BL934M6/OTot/bD+7yXc3STJw4kR9/lK4PhYSE0KBBA149fcmVfadMdhrWidWuKfv4+pAkh2kN+dP9F3iG/eCo3qQe3v4+HDx0UHjUKUy2bt1K69ZtADhy5DAlLVyJCJHr4Cf3H6FYkaIRn/81awYjxo3i9u1bpEmTxqJt27btuH7tGpfPXhD+PVuAsr+/P/mLFiJ5smRs276NlClTCvp3795Ny5at6PtjX8aNHWvxe9HXlC3ZavMbEhJCvx7D2LDGVEzFCVhogDRZ4hHsBFWeBGAMNdIAJ5I0qcGcpX+YLO1wn7Jmv3ZeU14+cwezJ6wna+tUuMSzDNmvj/15se8jC3f/Ss4Ckfs1KqazXn8hXKK8hixu69PXUjvFeBXWlO1yJApif/paUVcYnyCGKMaXNUNm6lSszv/+N4FXr14hFqPRyPDfhhMSEoJX83aq/ObOlpM+HbszZMgQ/vxzkmCt88GDB7Rr154jR47y52/jImGkYUpa0/S1yO7W3TscPXWc/gMGWIQxQIMGDXBzcyNr1qyUKFHCog6Y1sGTJ0vOjt27BJ+v2bCWRo0aWoUxQI8e3blz9y4XLl5UjH/Tls08e/aMpcuWSmAMULt2bfr168f8BfMZO24sXby86N69B3///XfE2WJ9+tqSrTa/zs7OTJv/O63aNwZM/+t6GeHE8wBSvwxktqsTeUPAqVoZJs8ZFWkZh8psWopBvuiHqd2gTUWcnJx4f/6r9L0FhAaF8vGiD3kKZyZ3wUz2PYcMOpRV2epQttKHBl3xs2qAshW/U4eOJ9g/kEqVKrNo0SK+fPlCSEgIx44do1nTZixavJiZIyaSJmVqy37NxwzzO2XY7/Tt3IvRo0eTPXsOatasRfnyFfjuu/wcPXyE9XOWUadydVHAkX/89OkzMxbPo1zjmuStVJxyjWowbeFsPoYVKVEDZTdXNxb+NZuFf82OOL9945apYEO1alWxJkePHiUwMJA0aVLL1vN2dnYmabKk+Pj6CGJ48/YNOXPK38Uc3v/27VvFHxXrN26gQoUK5M6d26q/bt268vXrVyZNnsyz58+4eesmvfv0IXuOHGzavBnQoWzZVjuU/5ozho5dW0Z8+nugkequnuyrVI4JG2eyfONMyS1psrWlYwnKUb2VyRKUkyRPyM+/d+DTTV9eHvyE/zvT+rox1Ij3Y3+e7fiI0Rd+mdjRqh85UQ1kAch0KCvb6lC20ocG3ShC2YrfzOkycnjZNgpmy0vfvv1InToNCRIkpGbNWty/fY81UxfRuWlb634twN7Z2ZlJv47l/uGL/NztRzIkTc13WXKx8I8ZPDl1nca16gHSGWeMcPrCWfJULsagcb+RJmM66jduSNpM6fnl9xHkqViUk+dMZ0MlUBa0jbi6utKpVTs6tWqHq4vpKJmzk+klEBgYKB45QubPX0CyZMm4ffsO/v7+VvXev3/P06dPyRBWrSx8/CSJk/Ds2TOrdgBPn5r6w898y0H5/YcPZMuWVdZfpkyZMBgMjB07hn379nL8+DFu3LhO1apVad++PTt27AB0KFu21ebXycmJP6YNp9v37SI+/frZmyrVy1G9dqWIizsk33YUYSq9clHej6xfmTuVowvlJh2qMHpWT9x83Xm85R0PVr7h/vI3PN/3kYzp0jBnyy/kyp9J1o81Ub2GfNtrucnAfK1Sbp1Yi64DrClLbfU1ZdMHomYsrylLYpCLT8bv4xdPOX7hXwICA8iZJTvli5UWnp2Nol+leMP/Z3v49DEl6lci33ffsXz5MtKlizxH/PLlSzp06Mi1q9c4s+Mw2bOYICVbgENcCOTVC7KXyM/kyZPo2bMnliRbtuw0aFCf+fMXMHfuHDp16mRR788//2Ts2HE8vHJbMJU8duJ4/po1nfv370UCVyS9evbiwMGD3Lp0Tbgj3cKaeJMWzfDx82XPnt0WfQE8fvyYPHnysnLlSpo2bRLxeWhoKE0aN+H+gwdcuXw5Ahb6mrIlW21+jUYjY4ZNZs60vyM+HTn+Z3r16yTrV3bNVtNasIb1aBk/Jl+h1nVlbC2tKQcHh3Dq4BUe3n6Bs4uBQqVzka9wVqt+yqe1/P+huWifslaZKWvSlZR6tF2mHHVb+UzZLpdZ6Jmyoh9JDFHIlMGULber3xyv5u2pULwMBoPBJn6V4g3n0LRFs3F1dWXTpo0CGAOkTZuWTZs24u7uxrSFsyNtJdml6T/BwcHs3Lebnfv3EBwcDED6NOloUKsuU6b8ZZoutiA+Pj6kTp2aFi1a8NNPP7N3716he6OR9es3MHr0GOrVrEPKFCkF30vXDl0wGo1069adgIAAif+NGzexfMUK+vT4HldnF8Xp9+ZNm3H06FHJ1YvmsmjRIhIlSkTNmjUEnzs5OTH4l1+4f/8+hw8fjvhcmimb/VDVM2VVfg0GAyN+/4kBv0QCZfSvk5gxaaGs36hmyqZR1WXKin7tmCm7uDhToWYROv5Yj3bf1yVf4ayqYpATzUAGO0EZtEHZXFdxKtn2UBbb2uwyCx3Kin4kMdgJnvbyGxIczPJNa+jcpbPVzDJRokR08erC8o1rCAqKPAdqCcoBgQE06tSKRh1bEhAYCcaJI8bh7+tHtWrV2bx5SwSsHz9+zM8/D8Lb25t9+/Yzd+4cypUrS6NGjalQoSK///47Y8aMoWTJUnTs2BGj0cikcX9Ivpd0adOycuFS9u3bR7FixZk6dRpHjx5l06bNNG/WnA4dOtCiaXP69/nRcvyiZ6lZrTqJEyWiXbv2Fn9E7Nmzh6lTp9G1a1cSJJDeOV62bBkSJEjAlStXBZ9LV8e1QNlgpc9RoWyfHxwGg4FfRvzI4OGRpwnGj5zG5PFzkDsO8K1DOaoxWBPV55Al54vNz/bKnT3WqCs8KytzTlmsq3hmOKpnnK2fU5Y8m43OOIe/vCOmOmXOG8ueUxbZaj2nLIjBiOD/Nck5YIi0jeo5ZUVd0d+beQxy8TmY34+fP/H5yxeKFy+OnBQvXpyv3l95/+E9aVJH7mQWnFMOjzHiz5GNrJmycGTrHrr2703btm1JmDAh8ePH5/Xr1yRKmIiWjZuxZtN6zp07x6ZNm9i1axcLFixg4cJFGAwGChcuzPv37ylVtASZ0qcX8jPse6lbszbHdh9k8sxpjBgxIuLHQ8H8BZgzdSad2nVAfCe1pXPWnz9/plHzpgQGBfHw4UMKFixEp06dws4h+7BmzRr27dtH3bp1GDVqpMXvy2g0EhISYpquFv29GURfE2bneeXP8gqtlc8Io9Jv5PiKuhE79NXEoOXZzP8S1DxbKAOH9MLNzY1xw6cAMOn32QQEBDJ0VF+zX1vCb1v2HLCm88XWzykr+pWceY48q6wlBrlzykoxqBFNhUF0KIePaX8om9rGWIWyRGwEp/BsMqL/PwDlKzevs2T9cu4/fhSxlmp+3aMl+fz5MwAe8eIhWzxELGa6ObJm58jWPVy6foX9Rw7i5+9PloyZaVK/Ie7u7rx4+ZKWLVsxffp0mjZtQv36pmtBr169St++/fDx9mHkL8PCxjQKa1+HfS+FChRk2bxFzJz0F6/fvsHTw5N0adMK/w2KASmC8s9Df+H+wwccPnyIZMmSMWvWbJYtW8a0adOAyE1hkyZNiizcIpL9+/fj5+cXeZ46VqCsxa8GKIvEdjFoeTbT3+cPA71wc3NlxC+mWZMZkxYSFBjEiPE/6VBWiEFJVG/qutVxaaRRVDdvadQVbjaS3xwl0FXcdBXVTWLizTsyz2bLwiPmMWrYUBYrG73EtkobngQXVmBVNyY2etnDr6+fL16Df2DDrq2kSZOG4sWK8fnLF06ePEnZsmXZu3cP1qRevXr4fvbm+GaztV0LxUN8fH1IkstUgODT3efE94xvUVccv9EAX75+oWPv7uzct5u0adPy3Xf5ePf2HZcuXyZDuvSsWbiMksVKCH+QKPiV22xmKYa3796SPV9uRo0axYAB/SP6goOD+fDhA25ubnz96k3u3LmpXLkyO3fuQCz+/v7UqlUbfz8/Tp88Lfv3Jn3hmS3tKGx4MreW3wyl1a9KXU0bvbTGoO3Zlsxfw9AB4yI+8erVhnGThiK3LvGtb/SSi6Fs2m4oSdTWkKOxTmyXNWWxrqOvKYtsFeM1j1HD0atYWVMWieLaquDCCqzqGo1G+buZHXBN2Wg00q5/d3Ye2cfChQu4c+c26zesZ+/ePfzxxx8cO3aMNWvWYknWrVvPwYOH6N2hm3BcueIh4hgVal8bjJAoYSK2LF/Lmf3HaF6/MQnc4/NdrrysXriM22eumGAssjUo+NUaw74DBwgMDKRDh/aCPhcXF1KlSkWSJEnImDED1apV5fDhw/Tp04f79++HuTdy/PgJ6tWrz5UrV5j61zTTjyHrTIjGmrLQWn7dVatflbqa1pSR7Yvus3Xp0ZrJs0ZF/PhcPHc1g/uOQVggS2inrynLi/o1ZKWa1fr0tfTZYmH6WjyOLdeU7VH7WtIvM30t1XXs6euj/55g24HdrFq1iiZNGmMuvXt/z8WLF/Hy8uLYsaN07dqVrFmz8vDhQyZNmszmzZvJmC49Ow/tA6BZ3Ua4x3MP/xIk09cCMY/RUu1rC1PHhfMXpHD+gtKM1opfa9PXUYnh65cvODs7kzx5cutjA2nSpCVr1qxs2byVxYuXkDlzZvz9/Hj95g05c+Rk+9ZtlCltdnmIIAbRcyPmdGxPX2vQtVvta+3P1q5zc1xdXenfazihoaGsWLyBoMAgJs8ebXYBg/lfwn93+lqNqJ6yvtluiclAqWa1Pn0tsXX06Wtxv6OfU5boy00zi2KMyenr9gN6cOnONS5euijw/eTJU/bs2c2XL1/ZtWsXp0+fNt1iFBaD0WgkZcqUFClcmI+fPnH27FlSp0zFyhmLqFy2vNmgJp8+vj4kzh02ZX3HfMoaia61+I1yumKx8fT1Pzu306Jday5evECePHksDmk0GilbpizZsmVn0dz5bN66hZu3b+Hi7EL58uWoUrlK5HcsF9O3NH0NAjDHzjllk+8t63fSp+vQiH/HTVrWZfqC33EWv8fNbP9r09el03RBSTTf9qRnyt9epix5NlvuvlaZKWvZ6CXxJZfRimKMyUz5xr3bVK5SOcLn27dv6du3H//88w9OTk54enry5csXnJycKF+yDN4+Ptx5eI8ZM6bTokUL041GwJ07d+jfvz8NOrfk0PodFC9UJPxLAIMBN1c3po/9EyCidKYkRpWZskVdsdg4U65VrQYpU6Rgzpw5EZu4xHL69L9cunyZkcNG4OHhQduwSzEiXAnGlHnWbylTBkG2bLsd4MKMVs2zNW5RFxdXV3p1GkRwcDCb1+0kODiYWYsn4OJqPl0b+Z0pZbSAqgw3rmTKakR1hnyj1SJttzvpmbLE1pEy5c8+X9l4bCf3Xj7C1cWVCgVKUbVIOZzNqinJZZOSfhUZY0SfjTZ6SXVtkylr8ivz3CWbVqNQiSLMmTOHDx8+UK1adT58+MDw4b/RunVrEiRIwKNHj5gzZy7Tp08HYOPGDdStWxex+Pv7U7FCRVInTcnuFZtkM08tFb0cJVOePH0qv478jenTp9GtWzfB93/z5k0aNmxEimTJOXHkGM7Oll9u0uf+9jJlb28fdm7fw4vnL0iQID616lYnQ8b0GjJlrTFo87tnxyG6tx9IYKDp+Fut+lWYt2wSbu7i3E9dpixuK2e46rLs2MiUS6buiJJoAjJohKkMtHUoK9vaA8pGo5GpWxYzZeN8/AMDyJEtO75+vjx99oys6TIxp98ESn9XzPIYoENZg98B435l7a7N3L13l2HDfmPFihUcO3bU4oUMpUuXISgokHPnzlm96GHVqlV07dqN20cvkD1z1qhDWawvB2ULvq35jQ6UjRgZ8MvPzFkwjzx58tC8eTPix0/AiePH2blrF7lz5WL75n9Iny6dbDzfKpRDQkKY8Ptk5s1exJcvX0mSJDHe3j6EhoZSr2Ftpkz/H8mTJ7VTDNqe7cCeY3i16UdAgKmOerVaFVi46i/c47la9RsbUJb4tTOU1QBZ/KpTFE27pmUumlDyI6er774Ob5vZqtx9PX71DMaumEq3Ht25c+c2l65c4vad2xw6dIi0mdPTZIQXZ29etDwGxNzuZpW7r6W6MvGJYlR8tmj67dmmC2/fveOPP/5gxYoVdO/e3ertSN7e3tSsWUv21qVq1aoBcOPOTcGYISEhHD55jMMnj0WuRYvfk5K29b83qa3Mb3azLoPRKNyBLReDeLc4Bv76YxJ7t+0kX+48zJ41h99//50Xz18wfcpUjh88YoKxQjyKsYc1Hzx4wKqVq1i6dClnzpwxLVdIvJn9OLbxDmX1fp0wGo306zOIyROn061bd27fvs3Lly95+fIF06dP49SJM9Sv1YJPnz7bKQZtz1atVgVWbJyNh0c8AA7sOUanFj/i5ysurxppq+m6RsVd07a6BtJJoKc2BrGuePe1nGjOkCMMYyBTVtKVZi3Ws0tHy5SjYxvVTPnhq6eU6FefESOGM2TIEMTi7+9PtarVcfINYd+fa1Rv9JL065lyRN+YGRMZO9O0vnvy5AmKFCmCJSlUqDDVq1dn8uRJFvvBdHNSrly52Lp4DfWq1Yr43MfPh8R5TDcxfb71jPjxI8tKxkambLK17jfKMWiIx1rsd+/e5adBP7Fv/35Bd8ECBfj999+pXr26bKYMwqxQLpsU90c1Sz104AhNGrRiwYL5tG8vPBoGpj0GFStWol2nloybMMJhpq9PHjtL+2a98fXxA6BsxRIsWz8TzwTxrPp19ExZawzm/SVStUNJVGfI0TpfHMVMWUlXmrVYzy7FmbJ81mr/TDk6toqZshXdpfs3kCRxYvr27YsliRcvHkOG/sK525e5cv+GfI1tPVNW5Xf4D4P4oUN3ADw8PLAmpUuXYuvWrREZriXZvHkzrq6uFC8ggrpMVhgbmbLJVmWmrCUGo6hfIVM2iHRv375NlWpVefjoEfPnz+Pt2zd8+fKZf/7ZSpKkSWncpAlbtmyRzZRBmBXKZZPi/qhmqQvn/03+/N/Rrp3lF3quXLnw8vJi5bJ1+Pr6CX6oxGamXLZCCdb+M58ECU27/k8ePUubxr3w/uJr1a+jZ8paY9ByF7LJXoN8S1CWxGujyyyMIcao3/ZkKyiDRShffHCdqtWqSS4VN5c6derg5OTE+btXpfHpUNbsFyP80rMfzs7OHDlyBGvSo0cPnj9/zrx58y32v3r1ylTesnYDUqdMJYWaWCxAOTAwkHsPH3DvwQPhPclxCcrifoUJPnPb3j/0IUXKFBw5cpgOHTqQIEECXF1dqVGjBjt37qBRo0b06NmTr1+/xhqULfk9eeI0TZs2lV3OaNq0CZ8/febWjdthxo4B5RKli7Bu+0ISJ0kEwNlTF2ndsCdfPnlb9ftfhnL015D/K1AW2SqvRzsglI1Gs0vFLYuTk1PEWViL8elQ1uw3dfJUNKhWm1kzZ+Pj44Oc/PTTT/zyyxCePHkKQFBQEBs2bKRateqEBoUwYcgoi2NYlLB43314z9DfR5KpWB7yVihK3gpFyVI8H8P+N5r3Hz4IdC35/RagfOXqFU6eOsnIkSNJliyZRMfZ2Zk//piAr68vq1atMtlJtOwPZUt+Q4KDiRfP+uwKRM6+BJvPsDgIlIsWL8CGHYtImiwxABfOXqFFvW58fP/Fqt//KpTVT1nbqjymDmVFW3tBOX/m3Bw6cNDi3bXhsm/fPkJCQiiURVigQYdy9Pz+1vtnXrx4QdOmzSLKPob727t3L02bNKVo/kKM+HEwfy9ZQt68ecmaJSvp0qWnQ4cOZEiVlmMbd5MpfUbhK88CqHz9fFn7z0YmzZ3OhJmTKVmvMvNXLqFNu7bs3LmDnTt30LJ1K+YuW0T5htV58epleDBW/cZ1KB8+fBgPDw/q169nVSdDhgyUK1eOQ1bvU4bYgHLuPLk4dOiQ1bgBDh06jIuLC9mzZROF4BhQLlA4L5t2LSF5CtOPoauXbtKiblfev/1k1a/iRqo4BmU1onpT17XG80wGtjpf7GAbvSTx2vQ4lfmmoFjY6AXg7MTdF48oM7AxEyZMoF8/6TpyYGAgtWvVwfftZw79uc40Rabl6JW+0UvW74nzp2nVrytv3r+lXLlypEqVimtXr3H33l3KFS/NhllLSZk8Bd4+3mzas41Hz5/i6eFB7UrVyZ87n8Rv+P+4Pr4+JM5n2tQ1rO8gZi2dz6fPn0mUKBE+PqajMdWrV2fRooWkTJkywv7hw4fUqFGTbBkzc3DjTvOHs/idAI630UvcbyWeP6dM4q/p03j+/JmVYE3SonkLQkND2bhho8Cv9CVp/41e4f0rlq2mT69+VjcFent7U6pUaQoVzc/iZXMsxyBzKUVMbvS6ffM+Lep15c3rdwDkzpuDddsXkDKNeNYi0vZb2ehVLGVrlET7lLWeKUts40qmnDNdFnrWacfQoUMZP348Hz9+jOi+fv06zZo159y5c4zr9HMkcLQcvdIzZVm/5YqV5u7+cyyaMIMUnkn4+uYjZQsW5+DKfzi0ahspkiXHaDSSIH4COjZtw4gfB/Nzj77kz53Pol9L6Pl9+p906NiRmzdv8Pr1K169esmMGdO5cuUyNWrU5EP4FDWQNWtWJk+exLHTJ7l47bL5w1n8TiDuZsrZs2Xnw4cP3Lx500qwph+kZ8+eJVu27BK/sZkpN2/ZhEKFC9KocWP27t0r+Ld3584dGjduwtu3bxg8ZID1GGQupYjJTDl33uxs3vM3adOlBuD2zXs0rd2FVy/eWvX7rU1fy4nmDDnCUM+UJbZxIVMONcDva2cye8dynJ2dyZ//O3x8fLl56yZpkqVkZp9xVC1cVurLVpkyqM5Ev9VM2dZ+AwID6T96CPNXLmHq1L/o2bMnYrl37x4VKlSkTZs2TJkyOeLz4OBgsmfLjlfrjowdMlwU77eTKQcEBJAzX25q16nNvHnCd1m4LF26lF69vuf82XPky5fPot/YypTfvn1Lh7ZenDxxmhw5cpAvXz7evHnD6dOnSZ06FcvXLKRkqeLKMThIpvzowROa1e3K86em5ZIs2TKyfuci0mdMbdVvXM+Ui6RsgZJE/diTnilLbONCpuxkhOFt+nJ55m4GN+tJ7kSZKJUxP4v6/8mlmbsjYCzxZatMGVRnonEyUxYUrYmZDNzdzY2Pnz6RK2cuevTogSXJkSMH3bt3Y+XKlXh7R+5wdXFxIU2aNHz8/CmaWapjZ8ru7u4M//U3li1bzsiRI/H1jTx6ExISwurVa+jffwBtWrchX958AltHyJRTpkzJzr1b2bXvH0qXLYmP71dSp03BvEUzuXLrbASMFWOIRqas9tnUZMpZsmViy96lZM5qWmp59OApTWt14emjF1b9as2U5TNcGV07ZcpqRHWGfLW+aW3CbjWr/6OZcihw5NZZVp/awaP3L3B3caNSnhK0K9+AdElT2XVNWU18kv5YyJRBIWOMgUxZ0i/nV9RvM78y8aYvmYfOXp0ZOXIk1uTKlSuUKlWagwcPUqaM6ZpCf39/smbNRl+vXgwfOMRifN9SpvznlEmMGD2KxIkTU6tWLeLFc+fw4SM8fvyYZk2bsXD+AuLFi6cYU2yuKVv3q0E3ipmycgza/L54/ooW9bpx/+4jANKlT836nYvImiOjrF9NN0PJZri2unFKOVO2aYYcMbCeKSvaqs2UP/p8odn0vrSbPYjHQe8pU6siOUp8x/wj6yg1vCUrj2+L0XPK1saJ7UwZFDJGcaZsHpKNMlpJv5xfUb/N/FqJNyQkBD8/Pz58+CBbWCTiaExwUMRn69at49OnT7RubPay+IYz5UEDf+bG5Wt06+LFk8dPuHH9JpUrVuLA3v20bNGCRYsXs3jJYh4/eSIbU2yuKVv3q0E3ipmycgza/KZLn4ZNu5aQM49pd/iL569pWqsL924/kvWrNqOV6Mpkypr9mvlSypRtftvTlTqzhbcGOXimLGnLZMoSXzGQKYeGhtJ8zgDuvHvKylUrqFy5ckQ29OXLF4YN+42FCxeyqOfv1C1cSc+Uw/vVZsogfI/ERkYbQ359/X1JFLbL+t27t8SPHx9LMn/+fAYMGMjdu3dIly4dZ86coWHDRlQtW5H185dHqczmhSuXOHHmNMEhweTLnYdqFauYbmOKaqYs7lfKwM2zVg2ZcoSN0cjc+fOY8OcfvH7zBg8Pj4hjgfXq1mP6tGmkSZPG+pgSj3qmHP6JFr9v37ynZf1u3Lx+F4AUKZOxfsdCcn+XXdZvXMqUC6VoipJoypDNM6foXA4RnUxZ0JbRlbRlMmWJL4VMWUuJTmtjHr59ln/vXWHlqhVUqVJF8MJNlCgR06dPo2bNmkzcvgij0ahnyuH9ajNlUJ8pi/odPlOW8Xv+/Hksia+vL9Onz6BAgQLs3r2b5s2aU7lyFfLlzM2iybMALJSbFDkxi+HS1SuUrVuVUrUqMXTcCEb/OZ76bZqRt0wRNm7bEvVMWdyvlIGbZ61KmbKFmMb8Po4Bg36idp3anD9/jg8f3vP69SumT5/GufPnqFq9Gq9fvbY+psSjnimHf6LFb8pUydm4awkFCuUF4N3bDzSt48X1y3dk/calTFmNaJ+yVgllcb8mgGsAbWxAWWwblbrZq0/vpGCBAlSuXBlLYjAY6NevL7efP+DCw+sWxrQflOXG+a9A+frdW/T/YxjlO9WjXMe69B47iIs3r1qO0QGgHC6tWrVm9+7dhJr9Xdy/f58mjZvw+PFjLl++TJ8+P/Ds8VNmj5/CvlVbSZQgocCHEpQvXr1M1aZ1CQwJYt26tbx795a3b99w5Mhh8hcsQJvunVi2dpXjQVlke/XaVf43cQKjR49i7ty5ETurEyRIQNeuXTl06BA+Pj4MHzncgh+zMRGL7cAlhJe8X6HvuAflZMmTsH7HQooULwDAx/efaFGvK5cviI+qfbtQ1jRlLTBUOX0t7tekq2FKOjamr8W2WjaJ1fyrJxXqVWXq1KlYEz8/P5IlS87MLiNoVrKmlTHtM32tNI7Yl+zUdxyavg4NDWXojHHMWL2AVKlSUbt2LZycnNi//wDPnj2jU6PWzPz1D1xcXJSfLYamr739fEhSIBMASZMk4eOnT2TPnp0CBQrw+vVrTp06ReJEidiycDVlipUETLurlaaDLd20ZDQaKV23CqEGI/v27yNBggRCG6ORnj16snHTJh5dvEmSxEkcb/o6zPaH/n3ZsWsnt2/fwtVVfFevSf78cxLjx4/n3u27JE+e3IIfszEl1raZ4hXbyvmV2mrQdZDp669fvGnbpBdnT18CIGGiBKzaModipQrK+nX06esCyRuhJKozZGmGa/tMWaL7DWXK4n53Z1e+fPmKnHz+/BkANycXmTHtkykrjSP2JTv1Lc76YuJoUBQz5fGLpjJj9QImTJjA3bt3mDdvHnPmzOHmzRvMnj2LlTs2MHjKaOvPJhuDfTLlVVvWRfz5zt077Nu3j/Lly+Ht7U3KlCkoWbIkPr6+pEmZGhdnl4gfE0qZp6VM+eylC1y4cokRI0dIYAymHwtjxo4hMDCQ5etWW/QrHFNkH4OZ8tFjx2jUqJFVGAO0aNEcf39/zp0/Z8WP2ZhIcjdBSz6jtZ5Nim3l/EptNegqZMpasnVEvXJ+heJEwkQJWLN1PmUqmI5yff3iTeuGPTl9/IKsX0fPlNWItjVkHcqWx4kClCvkLMr2bdsEZ0LFsnbtOlxdXCido5DNbphyCCiDQ0L509fP/LVyDj///DP9+vXFzc0tot/FxYUuXbowevRo5m9YyvM3Ly3HGMNQNhqNzFy2MOJzg8FA+fLlmDt3Ltu2/cPatWvZs2c3SRInZs7yRdJxNEL5+L8niR8/PjVr1sSapEmThvLly3H01HGrfoVjCpsGoxGj0cjJf0+xcNliFi/7m5u3b6mKVwuUg4KCZG8+g8id6UGBkTvTlXaEq4WyqR13oKwlhuhCOX4CT1ZumkPFKqbjeT7evrRr0psTh8/K+o3rULbBsScdymJbNVBuV7oevr5+/PbbcOlLG3j06BFTJk+hfuHKpEiYVHFMU799oGx1DAu+7AVlTUeDrPWBLJTX7d1KUHAwffr0xpp069YVj3gerPhnneBz8/jevX/HjXu3efLymWlDnh2hfOfhPW7cvWU1XjDdc92mbVs27NhieRwNUA4OCsbdzd20k1pGPD08CQ4WHcFSCeW9B/dTrFJpqtSvyY+DBvD9wB8pXK4ENRrV5frNGzaDcu5cuTh27Jjscxw9aurPlTOncJxYgrJQvm0oe3p6sHT9TKrWrACAn68fHZr14fC+U7J+4zKUtefU6FC2Oo4GKKdLlJJxTX5k3rx5NGvWnCNHjhAQEMCbN2+YPn0GlSpWxtPgyqjGvQVwjQ0oa9p9LRJbQVnSbwco33/2iKxZskiPuZhJokSJ+O6777j/7JEkvmPnTtGkb0cyVitI0WaVyVW7BGXb1GbFtnWCTVbicaPz3B8+fQKge/duDBv2q9Xp10yZMvHh80fr46iEcu4cOfnw8QNXrlyxOA6Y9j6cPv0veXPm0nxOecuObTRq14KUqVOyY8d2vn79wqdPH1m6dClvP7yjSr2aXL1+zSZQ7tq5C2fPnuXo0aMWwwkKCmLatGlUKF+BXLlySceJBShr2WQl9Rs7UI7Os3l4xGPJmmnUqlcFAH//ADq3/JH9u8Q/pL4NKEd9DVmHsuVxNEC5fal6zO04gnsXb1C7dh2SJElK5sxZ+G3YMMpmzM/WvjNImShZmK19oCx7rWJMHIkCh4FyPDd3vnp7W5yxMJevX7/g7uomiG/FtnXU6tmCF5/fMHPmDA4ePMiqVatInSkt3X7rx4/jfrELlFMmSw5A1apV+e233wTT7OZy795dUiVPIXnlaYVy3Wq1SJcmLZMmTbL6PS1Z8jcfPn6ga7tOEXZyfsPF28eb7v1606BBA7Zv307VqlVxcnLC3d2dli1bcPjwITJnzkTPfn1UxasE5bq161CubFlat27Djh07BH8/z58/p1279ly5coWRv4lqfDsAlLVMXwsl5qEstdUGZXd3NxasmEK9xjUACAwMomub/uz655BI17GhrEZU77K+VGW6yUCx6Ie++1psq7T7GicD5x5d5/H7F7i7ulMmRyFSJkwWZmt9F7XdLrOw1e5rLcVDIEaKaMjtvj5y8RR1f2jNnj27qVixIpYkvPzkygnzaFq9PgA37t+mZNsadOzQgRkzZ0imc8MvLZgzcjJdmra1+e7rss1rkjBZYrbv2C71DXz9+pUcOXLSu31Xfh88ApByRDCOwm7mZRtX49X/e3r27MHw4cNNu48xXeCwZMkSBg0ajFfbjsya8JfAl1KZzYXLlvDDLwO4ceMGmTNnkjwHwM6dO2nWrDnH9x6iRNHiquKVi+HT50+06dieQ0cOkyNHDooUKcLHjx84dOgwnp6eLF24hLp16ijHr7CrW/h9i36gyu6SlusT22rxq0FXZvd19GLQ5jc4OJgfu/3K5vWmq0KdnZ2ZvWQCDZqJ9zOIvm0H2X2dP1kDlEQzkEGHslVdGx2JUqqYFaegLLJ1ZCgbjUaKt6+BZ7KE7N69i4QJhedz/f39adK4CXdu3uHmlpMR2Wi/CUP559gebt+5bTVDbdasOVcvXKZ4/iJ89v5CyqTJaV2vKbXKVTUBPBrPvX7HFtr270avXj2ZNGmS4AeBr68vbdu05fjxE1zbd4pM6SNrBEcHynOWL+KnUUMxGAxUqVwZN3d3Tp44wbv37+neoQvTf58UuZtbJZTb9ejM87evOHBgvziyCAkJCSFduvQM7juQQf1/Uh2vXAxGjJw8fYq/ly/j8ZPHeHp4UrtmLdq2bkOiRImEujqUbRyDNr8hISH07zWc9av+AcDJyYlp88fRvE0DWb+OAOV8yeqiJKqBfLHiVI0wNVjX1aGsaKtD2UqfnaF88fZV6vzYmoyZMvLzoEE0aFAfJycndu/ew+TJk7lx/QZbpi6jYrHIW7Gy1C5M+84d+f33cViSa9euUb9+A16/fk2J4sXJmCkT9+7e5crVq3yXMw+bpi8jS/pMUX5uH18fkhTJAkDePHno1LkzadKk4fr1ayz9eyne3j5snLucGhWqSGxloSxui76zNx/esWT1ck6cDSudmSsP3dp1JneOnJqAGK7boks7fAP9+GfbP+KoBJIlcxZ6dunOsJ+HaPoRIR+Dgq2Z6FC2dQza/IaGhjK47xhWLNkAmP5fnjxrNG06NVENZXHbVlCW86sGyC6KGuaBhIQKXuDG4NAIkJn/2aRrFLykBboKfgB1ujJ90dEl1Ch4ORpDQwUQEfgS64rHMbMV98nZSscUfp+EhkbAVW5Mia2ZnWK8oUYhGEJCBWAVPpvo71sUg7mtJD7ROMaQUM7fvcLiHau5fP8GBoOBorkK0LV+WwrnzC98sZrbir9Po1EIXrN+aR/gBEVyF2Df7A0MmTEWLy8vzKVsoZLsnrWOkvmLCD7/9PUL6dOnx5I8efKUunXrkTZtWrZv30b+/Pkjxj9z5ixeXbyo3aMFJ1ftJlnipJHxha0TRzybEevPbSbZ0mVm2LBhhISEkChhQjo0bsUPnXqQM1sOi7YGRK8t0TiCttEogE+qZCkY/MOASF2BnVDX3I/BKIJamG7ObDlYvGopfn5+EceNxHLnzh1ev3lDzuw5LMQXnRgUbM3EWvyW/Qjbwu/bCXNwGTAI4GPAyQwwQkthn9hWi18NugaDAMq2i0Hbszk5wcTpI3B1c2XJvNUYjUYG9h5BYFAQnbq1tOrXyeAsAKR5W7YvbB04HMwGg7MAylr8KommDDnCKAYyZc26Ki+3cIRMWYvtfy1TDg4J5sdpw1i1fzOZM2WmVu2aGI1Gdu3czbPnz+havy2T+ozE2cVZYhv5bNHPlAHuPL7PhTtXMRqNFMiRjwI581r0k7tRKeo2rGex6trAgT+xYcMGLlw4T4oUKST9jx8/pnDhIgzrMZDB3fpajt9J9EYX9ZlnyJ8uPyaeezz8/P1IED+B6usbo5Mpa7rUQZwxmrXvPrzPd2WKMmXKZL7//ntxRAD07t2bbf9s4/6lW5HXJErGFMejPgY9U1ah6yCZstFoZNSQP5k3c1nEp2P/HEK33u3skimbRjWvxKUtU1aTITspalgQbbumjdZ1bblrWuU1kJLa0rbcfS2qYa3J1kqfUm1pe+y+FtvGZPGQofPHs+7wNubNm8v1G9eYNm0a06dP5+atG0ybNpUlO9cw5u/JEoJEuTiHzO7rXJmz07pGY9rUbkr+HHms+mldqymrV63hy5cvgm5/f39WrlxJly6dLcIYIHPmzLRs0YIFG5Zbj9+8LffcYbbOzs4kiC+toiXnV4Idud3DcsVDFHTFfs1tc2bNjlf7zvzyyxCWLFlCUFBkMQ5vb29GjBjBkiV/M2LQr3i4u8uMaTmGwMBAXr1+zVdRhTy1F2qIRXb3uCQGka2gJfphGsUdylJbLX416MbC7mtLfg0GA6MmDOKHgV0jPh0+aAJzpv4t61d2h7Wmo0wadm6rrGetGsjRO8rkWFDWpCsp9Sj/PdgDymJbJSjL3+PsuFB+8e41i3auZvTo0XTs2FGwOcnFxYUePXowdOgQZm9eyvvPH2IEysq6Rro364AxNJQ2rdvw9Wvky/7ly5d8+fKFSpUqISeVq1TmyYun+Pn7WY9fI5Tl4rVm6whQnvG/SbRp1pLevfuQO3cevLy60r59B7Jnz8HkyVMYN2wUvby6h9nJ+w1v37pzm94DfiR1tgxkzpudFJnTUq1eLTZt3Rzx/dgFymJfilA2mz2KC1A2A7NyDPZ5NoPBwLAx/RkwpFfEp2OGTWbqxPkOB2U1oilD/s9CGeIUlMW2ilBWmWXbG8prDm4hnns8unXrijXp2bMnRoysPRi28UcJyirhFB0oZ0iZlnV/LuLsmbPkzpWbwYN/YenSpSxYsAAwFcqQE19fXwCcnUT/82qAskQcCMoBAQGs2riWTj/2oHWPjgwZO5xbd+5YtHV1dWXh1NmcPXiChrXq8uTBI96+fM33XXpw+8wVBvcdKIhBCcoHjxymTLWK7Ny7m4EDB7Bhw3rmzp0DTgbadO5Av0EDHQjKoA1cWoBorS8aUAYNUBb6tjWUfxn+A0NG/hjx6R+jZ/DnuFnIrUc4IpRVryFfKDsl0ihaR5kca01Zq65wJ6z89yDQtdGastg2Wrc9RXE92l5ryn1nDufGu4ccPyFfzrBYkWJUzF2CiX1GmDkW6sju3I7imrKS7uNXz5i34W9W7dzImw/viOceDzdXV+rVr8fiJYutPk/dOnXx/ejNkWXbFOMDJGvKPr4+JC2WFYBPFx8R3zO+ymez/5ry4RNHadenK2/evaVYsWIkTZqEy5cu8/bdO1o3acH8yTMEG7iMMn4lYr5fy8I68avXr8lfqgilS5dizdo1krrVS5YsoXfvPsyYPJUeXt2sxCAeM4prymJfsmvKYP6LUH7dVWgdK2vKIPgRIh+D0Letn2321CWMGTY54tMfBnrx65j+sr+2YmpNOVeS6iiJ+ilruWxSz5QtxhSnMmWRrVKmLMjWbJQpx3N158uXz8iJ0Wjk85cvuLvJrCFiIZuPgUw5c5oMjO87nEe7L/Hl5CPeH73LkK792bhpE//+e8bi8+zatYtDhw/Tq2VnVfGBNFN2dXFloFdvBnr1xkV0M1hsZsr/XjhHg04tKVCoAJcuXeT48WNs27aNu/fuMmfObLbu3k773t0EcRlk/EpEIVNevPxvQkJDWLpsqcVLJLp06UKLFs2ZNnumoEpX3MqUhdaxlinL9EU9UzZ9os6vqa93/y6M+3NIxKczpyxm1JA/HSJTViPapqx1KJtEh3JY27ZQrlKkHHfv3ePcuXNYk2PHjvH8xXOqFaugrdykSOy5pgymNW+DwUCv5p0onq8w9evVZ8qUv3j//j0AL168YOzYsbRq1Zr6lWvRslajKMPTzdWNCYNGMWHQKNzc3BxmTXnY/0aRJ3duNm7cSO7cuSP63N3d6dy5M4sWLeKf3ds5evK4xNaaX4nIQHnd5g00a9qUpEmTWjXv2rUr9+7f49LlyzIxiMeM61BW69deG72Q7YsulLv1bs8f0yLLnc6fuZxhP41HeD2xY0JZ8y5rHcphokM5rG07KNcsVpFMqTMweNAvEeuq5vL161eGDBlK7kzZqViotHR8kIdyDG70Cpd47vHYOm0Fzas3YPSo0WTKlJlUKVOTPXsOpk2dxvctu7Bq4rzIDWxRhKejbfS6ff8uR04dp/+AAbiLd0SHSePGjcidOzfzli2WwskGUP7w8QPZsmeTNc2SxTTV/+79e4UYxGPGZShr8esIu69Nn6j360Snbq2YMntMxDLNknlrGPTjGIeHcrSPPelQDuvToWwShfgEl5CI/DhjYMFPE7ly+TKVKlZi9eo1fPr0iQ8fPrB8+XIqVqjI/Tv3WDBosuClZ08oCy+sQINu5J/je3gye9if3Nt5jtnD/mRo1/4sHD2V+zvP88fAkbg6i25o0gjP0NBQHj1/wqNnTwRTr7EJ5eu3bwBQo4b1dTODwUD16tW5evO6Rb/RhXKypMl4cP+BrNmjRw8BSBFWj1uHsiVbDVm1Q0DZ5Lttp6bMWDAep7B9K6v+3kj/nsMJFbzrHAvKNjn2pEM5rE+Hskk0nIcW95XMWYid45eT3CURXl5epE2bjvTpM9CjR0/SJ0jJnj9XUyh7vrD4zP1ohLIFmPoHBBASEiIPbRkoS3WFfSkSJ6NTo9YM6NCLdvVakDhBIuvxa4Cnr68vuWoUJ1eN4pId3bEFZaew6+YCAwPFlgIJCgoUXsZhQyi3bNKcjZs28fHjR6smCxcuImeOHBQuWEhlDOIx/ytQ1qBrtyNRpk/U+TX5bt6mAXP+nhjxb2z9qn/4setQQgTvceGOdXtBWY3Y7NiTDuWwPh3KJokGlAtmycOWsYs5O2cniwdPYfHgKVxcsI+NoxeRN1NOUXxCKGudxn394S3jFv9FrhZlSFErD0mq56Thzx3YfnSPAFi2grLcDwcleMr5teZTjV9rfWJbLVAuUbgozs7ObN261WqYQUFBbNu2nTLFSsr6jSqUu7brhLOTMx07dsTHx0eiumjRIjZs2EC/73/ESbwjWoeyFb8adO1yJMr0iRa/jZrVZsGKybi6mjY8bl6/i+87DyY4SFzSUj2UZSEdDSirPvZ0rtjESCMtx4ZsdCRKcRy7xaQfiRLbKsZrHqOGcp5yR6LE/XLHmiT94tMnYX3XH9ym0ZBO+Pj70bZdG0qVKsXnz59ZvWoNZ8+dpXP91kz/OXLKCxCVohT6lS3ZKRefKEbFZxP59fH1IVlJ01rpx3MPhceeVPrVdNQKETskx31M/2nRsyMXblzh+PFjFiuVzZgxk8GDB3N2z1EK5y8YHohVv1E5EnXo2BGadmxNwoQJ8fLqQqFChXj//j0rVqzk5MmTfN+tJ39N+DPy+WOjzKbYl/xvA+xzbEirXw26sX4kyuR3767DdGs7gMBAUwW4WvUqM2/5ZNzcxVc6RNpquhlK5kgUQPZEFVES1UA+W2hCDN3KpENZ0VaHsnQM0ARlv0B/inapQfI0Kfnnn62kTp1a0L98+XJ69uzFuJ5D6Ne2p9Cvg0HZx983AsgfzjwgQQJR2cxowF4uXiUoP3j8iPJNapI0WTLGjB1N3bp1cXFx4cmTp8yaNYvp06fTr3tvJo0aL7JVCWWxrljCuu7cv8u0ebNZtX5NRKZcqXxFenfrQaN6DU3PLAd7HcpW/MY9KB/ad4Iurfvi7x8AQJUa5Vi0eirxPMTXptoeyjYHMqgHl0T3G4Kykm5chrIW27gM5eW71/PDlF+5du0q2bJlw5L88MMP7PxnBzdWH8NVdM+xI0HZx9eHZKWzAyYgx/eMb9MMXC5eJSjffXgfr596c+rcGRIlSkSCBAl49eoVCeIn4Ofv+zLkx5+kQDQFYdVvVKAMpinyD58/4+nhYfrRYiWzt+jTRlCW2sqPY96Wg7Kp3zqcdChH+j1++F86tPgBP1/TfosKlUvx9/oZeHiKTwPYFsp2ATLoUFajK3dTVGxA2dRv/qK1DZTFtnEFyvUHtcctRQK2ydy9e/nyZUqXLsM/k5ZRtXgFBXCJjGMQypaAbAu/auNVM3198doV9hzej1+AP9kyZaFZvUbEl8nkw4Kw2hdVKJtsrfuNcgxxDMri/v8alE+fOE+7pt/j4206XlmmQnGWb5iFZ4J4Il3bQVkNkMWvEVUiv0ErGpuuBLrWN3qJfUVrg5amzWfqdeVuilLa6CW/6Uq00UvTJjHzTUEKz2arTWLijV4qN5TJVfSSxCezaUnSH/bHt58/kDOnaIOYSML73358b9lvLG/0kvgVic38KsQr4IeVjV5F8hdkyA8DGf3Tr3Rq2c50NaTMprCwIKz2KW6WkvFrkPEb5RiMon6FPEd2o5pMTFLMi36oymx4ElsbZDZSfesbvUqXK8baf+aTMJHpR+GpY+do06gnXz+LN/9F2irusFa50UtOVAPZZuDSoWzRj9IVjHIxxCkog0NAOUmCRDx79gw5efr0KYDgeJIjQtnZ2ZmerTrTs1VnXEQXVDgSlM0cR9p9S1AW939jUJb3G/egXLxUYdZtX0CSpKb/v8+evkSrBj34/PGrSNc2UFYjmjJkHcradR0RykK7/yaUG5Wvza5du3j58iXWZMmSv0maKAkVi5SR9xvLUHZ3c2far/9j+rAJphrf9srAdSirjEFlPGJbB4eyst+4B+UixQqwYcdikiVPAsCl89doUa87H99/serXnlDWPGWtQ1m7rqNBWQtYo2NrSygL+m0A5bY1mpLAIz5dOnfB29sbsezdu5fZs2fTtUFbPNzjKZ/XdYBM2RH8xiUoP3vxnJHjR5OjSD4SpEtG+txZ+H7Aj1y9fs0GMaiMR2yrQ1kxBltDOX+hPGzctYQUKZMBcO3yTZrX8eL9m49W/doLyqo3dZ3JLzyaYLPNUPpGL4t+5DZs2XbntrqNXlqORCnaylzfqDSOoD+aG71OXDlDixHdSZI0Kd17dKNUqVJ8+vSJNWvWsm3bNmqUqMSq0bMFO6wVz+vGwkYvowHeha1zp0iaXHBu2p7nn+X8Cl4qGjZOSTdrWdeNzkav4/+epEn7VoQaQ2nbtg158uTh5cuXrFixklevXjFz0lS6duxigxjUxSOxdfCNXsp+Neg6yEavu7cf0LxuV16/egtAzjzZWL99IanSJrfqV8tGr8wJS6MkqoH8b55x9gOXDmWLfhwNytJ4HRvKknEsQOTOk/tMW7+A9Ye34R9gOpuYJ0tOujdoh1eDNrg4u0hsHQ3KPn6+JC+bA4D3p+4T39MzxoqSyPl1VCg/e/GcIpVKU6hwIdauXUOSJEki+oKDg/n555+ZP38BOzf+Q9WKlW0Qg3w8Vm11KCvGYGsoP7j3mOZ1vXjx/DUA2XJkZv3OhaRNn8qqX7VQtjmQwY7g0qFs0Y8OZcvj2BLKYILaqw9viOfuTroUaTAYDNGrbBUDUA7vtwTk6Pi19Nyv3r7m3JWLhBpD+S5nXnJkyabKryNCefj4McxZMp87d26TOHFixBIaGkrFipVIkjAxOzdstVEM1uMRiw5lbTHYGsqPHz2jed2uPH38HIDMWTOwfuciMmRKY9UvKBx7MoaoArL4VaEoxuBQ1WvB+pqyZV1HW1M29ZuvEzr2mrKkX0uNbStroPE9PMmePgvpU6SNAFl0aktHa005qpdmiCSqfs37Hj9/Spu+XclasRBNerWn2fcdyVO9BLU6NeXslQtxck155frVtGnTxiKMAZycnOjVqycHDh/khfmmP31NOQp+NejK3BQVvR3g1vss+c2cJQOb9/xNlmwZAXj88BlNanbmycPnVv2CwrEnm9/2FEWYagK4DmWLfnQoWx7H1lCO/ECmT8uGJzGUzUNSOE/86fMnHj5/zMcvn7RBWZxlyF0vqfDc9x49oHyr2py+ep7//e9/3L17h8ePH7F48SLefvlA1bYNOXz6eJyD8otXL8mXLy9yki+f6Uax169f2zAGK3YWRIeyrWMQ9in5zZAxLZv3/E2OXFkBeP70JU1qdubB3SdW/YIjHXuy0a1MksIYcQDKUf1xokM5vP0fgTIoQvnI+ZM0+7kL6WsW4Lsm5UhfPT8N+7Zjz4mDVuOTiGIM6qDcfVg/EiRKxIkTx/nhhz5kyJCBVKlS0aZNG44cPULp0qVo1787AQEBihl4jEHZHE5WdBMlTMSrV6+Qk/DjcAkTJpT41aEcFb+OBWU1ftOmS82mXUvInde0HPTyxRua1urCnZsPZf06zrGnWLgqUXLpvYIftRmuFtBKY1KvqwRltVcw6lCW2imO42BQnrdhKXX6tOLF17dMmzaVHTu2M3v2LD4F+9C4Xwf+XDLDanwSiSaUL9+6xvFzpxkzdgypUok3tEC8ePH4a+pfvH73hk17tqnyK4GySsgZjGI4WdcV91uCcqM69VmxYqXp7msrsnTpMvLn+47sWbNZHjdaPwxkYheJDmVbx6DNb6o0Kdi4azH58ucC4M3rdzSr7cXNq3dl/UYVypqBDI4HZZOuOihLYrDbOrdtoCzxZQHKfoH+bL58iKkHVjDnyFquvbhnMQZHhLLsGeL/EJRPXznHwMnD+eGHHzh16iTdu3enatWqdOnShaNHjzB06BBGzJrAvpOHrcan+GwaoLz32EESJkxI/fr1sCa5c+emWLFi7DqyX7VfCSg0gNZWUO7dtQfPnj3jl1+GWCw9umrVKrZt28YP3XpJX5A2+2EgslN7p7IdoSyElzy4hPD6tqGcImUyNu5aQsEipmWM9+8+0LxeN65dui3rNypQVr+GHFvg0qEs9RWmazQaWXhyM6Umd6L/hj9ZeXUvM0+sp+6sH2gyfyD33z5VhLJ8lm1/KEtsFaAsN05chvLstYvJnSsXf/wxQbKD22AwMHz4cIoWLcrMNQslMbg4OdO+fgva12+Bi7OzTaDs5+9PwoQJcXV1RU6SJk2Cn5+fJtjHNpSLFCjEtPF/MmvWLKpUqcrq1Wu4dOkSu3btolWr1nTt2o0u7TrSpV3HMFsZCNoKypZszSQmoGxqq4Oy1FYL7OMelJMmS8z67QspWqIgAB/ff6JFva5cOndd1q9dp6x1KKuMN4ag/NehlYzbu4jWHdpw/fo1Hj15xItXL1i7dg1f3YJptvBnHr57Hs31aMeCstI4EiirnSaPRSgHBQex9ehuOnfpIizqYSYGgwEvry7sPXmIz95fBDG4u7mzYNRUFoyeaiqdqfRsKuCZJX0mXr16xdOn1ut9BwYGcuXyFbJkzKTab8TziJ3FMJR7denOtlUb8XBxx8vLizJlytK0aTPu3bnLnEnTmTt5huCHkUNCWWXpT0eAstQ27kE5cZJErP1nPqXKFgXg86evtKzfnbOnLsv6teuUtQ5llfHaGcr33z1j+tE1jBo1kqlTp0bc6evi4kLDhg05eOgASVIkY/SueRZjcEQoC/3YCMoiW0eEsrePL8HBwWTMmBE5yZTJBL4v3l8V45P0a4Ry05r1ie/pyaxZsyRxnDt3ju7de5AlS1bef/jA3mOHmL/6b3x8feIUlGtVrc7ejdt4cPEmp/Yc5trJ81w8fJquHTqbYCxy43BQFuvaEMqiUUWtmIGyQNdBoJwwUQJWbZ5LuYolAfD+6kObRj05dfS8rF+7TlnrUFYZr52g7O3nw/Bdc3Bzc+PUqdMMGjSYGzduCHSSJ0/Oz4N/5tDtszz9+MpiDNGCssyO8JjY6CWWuAzlhB7xcXdz5/79e8jJvXv3cHJyIkn8RIIYjEYjPn6++Pj5SmKKKpTje8RnYJc+TJs2jVmzZhMcHIzRaGTs2LFUqFCRo0eP0q1bV0aOHEnWnNn4cdRgSjapxpMXz+IUlAEypE1HscJFyZU9p7TgyzcGZREmhH6jCC6p2AbKEl0HgXL8BJ4s3ziLSlVNl874+vjRrmlvjh38V9avGlFdqetkxhEmgxipxKWgq6kSl0GmTyaG2Ho287aFil7775zhp+1T8fb3o0zZ0iROnJjz58/z+vUbWrRowbx5c/Hw8ADg48ePpEuXnhktfqFR4SpWY9BWDUz0j0ymypjDVfRSspWrzGWvcpNhfd1/H8iJG+e4dv0qLi4uiCU0NJSSJUqSPWUm1vyxQODLx8+XlJVMu0DfHbtLfA9PybtAtlqZlapjRqORQRNHMGP5fDJkyED27Nk5cuQIY8aMZuDAgTg7R/7qv337No0aNcbTLR7ntx7G1dVVtpqZbEUvEMYvfq+J/BpV6L549ZJzly6YKo3lyUfObNk11b4W+zXKVdBS8mvW1FSRTCSy8Sv4FX7foh+oMpWtxJZRregl9a1BV6ail9TWfs/m7x9A17b9ObDnGADu7m4sWj2VqrXKWfSb1rMQShKtKWs9U1YZr40y5RMPLvH9pglUqlaFGzdvsH//fjZu3MidO3eYN28u27dvp0sXr4gMxS3sUoQQo3gzlI0yZdCUKaud+rbbkSglW5mM196Zcp8WXjx/8ZxevXoRHBwsDDkkhIEDB3Lj5k36tulu1Ze1+CQxqsyUDQYDk34Zy+n1+6hWsgL/nv6XFi1aMGjQIAGMwbTjevXqVdy8e5ut+3fK+pXEg/0y5QePHtKyeweylfiOZl5tadG1PfnKFaVmiwacuyiaZozq1Y0a443tTBm0Zcpadl8LJeYzZamt/TLlePHcWbx6GnUaVAUgICAQr9b92LvjiKxfOYnasSdHANd/EMoTj66gRIkSrFq9isyZM0V87ubmRseOHZk/fz5bt27l1KnTABw4cACA3Kkym/zGMpQltrFxJErJNhpQVg09C32Fc+Vn/q+TWbt2Hd/ly8+ECRNYt249f/45iYIFCrFgwUJm/PI/yhQqYTU+idgAygBF8hakXYMW+Af488MPfawOV6RIEcqWLcuyjatV+bU3lO8+uE+FhjU4f/USkyb9yf3793j69AlLlizhw5dPVG1Sl6Mnjsn6tRoP/x0om9q2PxIl9Rs7UI7ODw53dzfmL59Mg6a1AAgMDKJb24Hs2HJApKsOyqqnrI+nH46TeKrLEaZ4/yPT19ffPKTBkp/YsGE99epZPhsaGhpKwYKFKFmyJPPmzaV6teoEvfrKlh5ThH5tdplF1KavzW1vPLvH8qNbuf7sHk4GA8Wy5adDlaZkTZ3Bcrwy09cS3ViYvpb0q5weDu+7fPc6czYsYf2BbfgH+OPm6kaTKnXp3dKL4t8VtujHx8+XlFVyA/D2yB0SxI9v8/hW/rMer19/4MOH9xFLIpakf/8BnDxynAvbhFlCbExfV2hUkw9fP3HgwH5SpEgh0PP396dp06bcuHaD+2ev4RbPXdav1XjgPzN9bWqHClrW+8S2jj19LbXV5jc4OJh+PYaxce0OAJydnZm56H80alErQiutZ0GURFOGHCr+VR1D2aTaspbKlbjibqZ8581jAKpUqYI1cXJyokqVyly+fJlWLVtz8cJFhlTrrDCVHDuZclBgEIOW/0GVUR3Yce0Y2YrlJWOhnKw8uY3SvzTlj03zIrIruxyJEtnaKlOW9GvZ3Ww0Uijnd8wdOom3e2/yas913h24xeKR0yiet5BE15rYI75wyL99+87quKb+tyTw9JSW0lTIlM1jskWmfP7KJU6fP8O4cWMlMAZTpbEpU6bw+u0bNu/cpnghhdV40DNly33qs1SpbcxnylJbbX5dXFyYvmA8rdo3BkzLTH28hrB+5XaFDXBCke4eUZDQUKMgUzYGh0ZkcuEAiWiHhAoyJYFu2MswvN+8z2LbzJdcn6WYhLrGiMxJU7xaxpTpU6t79fV91lzZz6NPL3FxdiaRu+mFGBAQgGfY9XqWJCAggDt37vDi0TPmt/6NUlnyWx4nNDQiKxT3EWoUZDCC797MTvx9mmxDIzJluTFHb5jJyuPbmDr1L7y8vCIKUPj6+jJt2jTGjBlL/Hie/FC3gzTeUKMwqwoJFWS7wmcTxieO39xW8mziccy+F0mfEWG2Y94v/j6NRmHGaO43rM/JyYmEngmQiAVdSxIOuIgYlOID635DjVQuWZ74nvFZvnwZw4YNszjmu3fv2LFjByN/GKwuXvH3YhaTARE3zOMP74hoGwUvZoMR9h05QOLEialTp47FWAHy5MlD0SJF2H1wH62bNMdgRJhpivwKRPR9GoxGYaYsjlfOr1m/NAYFWzORjV/iRxQ/5t+3E+bZpAGDICM04GSWMQothX1iWy1+NegaDIIfILaLQduzOTvDX3PG4ObmyvLF6wkNDaV/z98ICgqiXedmqBHV6A41RgYilymL27ZdC45i1iqTKWuJV5KB2yFTDggO5Mdtk2m84heOv7tBptL5SPJdRg48OAfAli1bsCb+/v5s+2c7ZTLl51S/RVTJXkx1uUzxTIQ9M+UXH9+w6PAGRo8eTc+ePQXVoDw9PRk6dCi9e/fmr22L8fb3tRzvN54pC/vQoCt+VuuZktL1kuaSOH5C2jdsydSp0zh/XnzmEoKCgvjxx744OznTqWkbm8QrmymL2yK//mGVxiztWDeXJEmT4O/vFzmmPTNlmXjFmbKmI12CGGR09Uw5CjFo8+vk5MTE6SPw6tUWMP17/7nPKJYuWIsa0TZlrUNZk67idLsFP4P2zeLQk4ssXryYW3dusXTp36xfv44HDx+QKVMm/ve/Cbx7Z3nacMqUKXz6/IlRNXvg4RovskMllCX9ClBWe95YPObqE9uJ7+lJjx7dsSb9+vXDx9+Xraf3Wo1Xh7JJnAwGmlStR5Oq9XB2crIblMf3/4182XJRs2YtfvrpZ86dO8fdu3dZvnw5FcpXYMeOHSz7cw4pk6XQ5NceUM6SIRMvXryQrTQWEBDAlctXyZopiwIQFaAssJX/96AWyuFxWPejQ1mi6yBQNhgM/D5pKD1/7BTx6ZD+41AjmndZ61COgq7KZ7v68h4775xi1uxZtGnTWnC0JFmyZOzcuYN3795SuVJlNm3aTFBQEAB37tzhhx9+YOzYcfSv0IZsydPLrg3bCspiW7VQfvD6KQULFjRdbWdFMmXKSOaMmbj/SlqPW4eyUDeeezxW/D6HlePnEs89nuVxbADlBJ7x2T1/PT+07ca61WupUKEiBQsWokePnqROnIL9f2+mYbXIKeLYhHLz+o3x9PBkzpw5YusIWb16Ne/ev6Nz6w4W/aqGssg2TkBZxq9jQtn6bmcJlM2XL2IRyqP+9zN9f+6GFtG8hgwmKDsZTAHJrSmL24prq3LrxDGwpqw5Xhs/25rrB8iYPgMtW7bEkmTPnp158+bTpUsX2rVrh6eHBx7xPHj/8QPJ4idmRPWudC7ZwOr3IFjPk1nflfTLrCmLbZXWlAHcXFzw8fGx+IwRPo1GfHx9cQ+bzpYd8z+wphzZh/A9EsU1Wtn4ZPzG94zP2L6/8lvvn7l86xr+AQFkyZCJzOkzRsuvUryya8rittFIwgQJ+blXX0ZNHk/69Onp2bNHxPS10Wjkn3/+YeDAn2jdpAW5c+S06lewLiu3piyylV1TthCvtTVlaQxiP9ZjUlwTF8QgGhPz7zv8H1xoWF9srCmLnk1J12xdObbWlA2GUIaO6oebuxsB/gEWn0PyXGqPPR1OOzQCwuFi3pY7EiVu2/Yok4yupqNM1uOPqWNa7bePI0vZ/Cxd+jfWxGg0kjhREroWb0Ayj0QEhgSRKUlqauQuhbuLqRCI9IiRaCLE/MiJ4vEks7bMkSixrdyRqI1n9vLjsnFcvnyJXLlyWXhKOHz4MHXq1GXT4NmUy1NM3Zhx+EiU0WjEx98XD7d4keueoiNRwjERteV0xc8qevNa63NAv5KXlZhFIt78NHoo0xfNJX369NSvXx83Nzf279/PzZs3qV+zDqtmLzYd45I7uoQIbHJQFseg4Bc5v7IxiP1Yj0mxIpmMXykczGaRRL0OdyQKBDMD8jEIfdv62YxGI2ni50dJoryGLG7r09cqdWXidTU44+vri5wEBAQQHBJMhoQp6VayIb3LNKN+3vK4O0VujJKdgoZYn76uV6QSyRMlZfDgXyKm3c3Fx8eH34b9Rp4M2Sibs7D6amBxcPr60cunDJk1lkyNipC2bgGS1cxN86Fd2X/miOrpax8/X+KXyUT8MplM9axjaKNXbPjVMn1tAKaMmsCZnYepVbEaxw8fZe+uPeTLnpu9a7eyadGqyDPVmqaOv6Hpa0kMIluJN5VTx46wpiwS+RiEvm39bNZOQ4glWmvI4rYOZZW6VuItmTYv+/ft4+PHj1iTzZs3YzQaKZ3hO4lfIRgcF8rxXN2Z3v5XDuw/QO1atdm9ezchISEEBgayceMmqlSuyq0bt5jW+bfIf8jfIJSPXzlD2e71WHvoH7y6d+Pvv/9m4sSJvPR9T+PBnRk5f6Lw34rSmrL5GA4AT0eAMkYjRQsUZv7E6Vzef4rrh86wZu7fVClXSXqjkw5ly2NKvGkBl8FKXwxBWdNGL2T7bPWDQ040TVmbiz59rRyT1md75/uZyiv70qFzR2bMmC75VfX+/XsqV6xM6tD4LGs2wqpf4RSq405fn7xzkVFbZnHtyR0MBkPES7l0zsKMbdmPAplyR68amHmMDjZ9/ebjO4p51aRIsSKsW79OsMHNaDQyffoMhgwZwvyhk2hbq5nsFK9PgC+pquc1+d1/k/hmlbocYZrZEaavZS+kUNDVp6/DbCXe1E7xCq2/rYpepk/U+E3tmRclUQ3kg2mG4CT6y9OhrByT1mdbe+Mgw48upEH9+gz86SdKlSpJQEAAmzdvZvy48Xx8/Y61zcaQNWV6Wb9xBcpGo5FLj29y4+UDnAxOFM2Sj7wZc4j8fntQnrhyFpPXzOXe/bskS5YMS9KiRUse3LjL6YU7CQwKwj2euwBY4X/28fMlVU0zIHt4Ohw8dSiH2+lQttQX9fVce0FZSwymT5T8qgGypl3WoWEPFA5m893W4ra++zpqz9YqX1USuHnw1/F1VNleBVcXV4JDTHfRlstUkLnN+pIlaVrF70G4A1hmB7VYN4Z3XxsMBopkyUeRLPlsXg3M1Dbb5auw+xoiwWzv3dfrD22jWfNmVmEMULZsWbZv306ymrkJDg4mWeKktKvVjJ5NO5ElXUbZSl3i3cxgBjo77L6OLb8GRJAQjSNoW6joZbUqlqadz0Z5KJvZflu7r8F8l7LyLulIa/kdylr8hv9/qEI3omqZrWPQ+mzWJYrHnoyqoQyR2bIOZXXx1stRhjrZS3Hq+XUefHqBm4srJdPnI1vSdJjLtwJli99DLEBZPI4SlCEyW1aCskk3Ek7vPn8gZ07hTIC5/PHHH4waNZocOXLQuXNn0qRJzdWr11i+bBl/71jD2vELqFikjGxNa0vHq/wD/Nl4YDvbj+7lq6836VKmoV29FlQqXhan8O8l3GV4uHEAyuZh61BWjunbgrJGXdVHomz7bGpE9ZT1/tSDLUxRG8z+LO4Ttc2npGw07Wyv6WtxW2762l4xRctPHJ2+tmRr0xumVE5fi8eRm74W98tNxZr3F/GqTpXa1ZgxYwZi2bRpM+3ateO334bx66+/CsD09etXWrVsxfmz5zm3bB/pUqbBx8+X1LXyAfBm703ixxfVOg8b89Tls7T5tSdvP7yjfPnypEqVihvXr3Pr9m1KFijK2omLSJMyldDW/EWs9GzmL/TYmBZHBArxO1DSNgO8nK4+fW15TIm32J6+1qhrlyNRpk8s9aXyzIOSOClqmIck2WFtlOkTtc13VNpo17SktrQWXU27po3yunbYEa712eTGjCu7ry3Z2vQuZvMYFZ/N+ncmu3NbZiexeX+TCnVYt3YdX79+RSxTpkyhWrVqEhgDJEyYkFWrVxGKkcXbVgHg7ORErdJVqFW6SljpTJHDUCPX79+m8cCO5M6bm2vXrrJv315WrlzBhYsX2LFjO4/fPKdR//bSY3dm4Ss+m/lve6Xd1yr9Go1G9X4RMUP8TpW0zbIdOV2jUaAr9qPvvg4Xsx+mCruQza1tdxxJo67qil5aY7DuV0m0aeN4UBb3a9J1cChLYogGwGMMyiptjSFG4Xf6H4Nyl3ptCAoMolu37gQERFbxuXfvHufPn6d7925W14eTJElCq9YtWbtvC2Aqnblx4hI2TlxiVjpTaDNh8VRSp0nDlq1byJ49e8TnBoOBqlWr8s8/W7l65wZr92yRPbZlMyjb0a9doCzSVYSyykspHAXKsj8qxH7N45d406Ec/on1PuuiGcigQzlK8cbGs8UGlDXbqodyVC+zcEQoZ0iRlr9/ncae3XsoWqQof/01lYMHD7JmjelWGGsVzMIlZ85cvP34XgFcpv+8/fief47uoXef3oIjUeZSsGBBatWqxaItKy3Hr0NZoisLRLGuWERQNsj4jRaUNWTvqqEsaitB2SALJx3Klr0riCJodSgrx+uAUBZfwWhV1wGgLLZVgrJslu0AUK5dqioHpq2neNYCjBo5inr16vP7778D8OyZ9VuKwvsTJ0hk0a8Yyg+fPyY4OJiKFSvI+qxUqRJ3Ht2zHv9/CMohISFs27uTdr29qNWqEa16dGLDti2mynJ2gLLJVgOUNcWgMh6xrY2gbOrXoaxGormGrENZc7wOBmUQQ86GUJaLLwagLLZ1RCgXyJqXhUOm8GjDWa4sPcS9tafJlSk7S5b8jTXx9/dn9apVNKlUF4g8h5yqZl58/ExrwObgcnEyHabw8/OTOjMTPz9fXF1cBZ/9F6F87+EDClcrQ1Ovttx98oCkqVPw5PVz2vTqzHcVi3P99s3Yh7LY7zcGZYMM9L5lKNtgDVmHsuZ44ziU5dd3zdoaNnpJ5D8EZWOokQQe8cmSNiOpkqagd5PObN68meXLlyOW4OBgvv/+e758+UrXhm0jPvf198PXXwjccHDlzZqLZImTsHHjJok/c92NGzZSrnDJWIOnI0D53ft31GzTkBCDkWPHjnLy1ElWrFjOsWNHOXPmXxIkSkitVo149uL5Nw1lq2MoxGQrKIv7/ytQVg3kEC2g1aGsHG8chrIk3ljYfR0dW0Uoq9xQZo/d1wBd6ramc91W9OjRk4YNG7Fhw0aOHTvGnDlzKFmiJBs2bGTB0MnkyJBVuQa00YiHezw61GnJ4kWLuXnzJpZk+fLlXL9xg57NOinGZ/pApi8OQ3nW3wt4/+kjO3fuoHjx4gK1AgUKsH3HdoKCg5m2YHZ4EFb9xmUoa9p9LWrrULYWg7JostChbElXh7LYTmKrcfe1cMxYgDLEKpQNBgPT+o1j3uA/effkFR06dKBmzVoMGjSYXKmysOevNTSrXC/STgWUf+n0I5lSp6dG9RrMmTOHL1++APDo0SN++WUIvXp9T+eGralcvJxifJEfyPTFQSgbjUYWrVlG27ZtyJAhA5YkVapUdOrciaXrVhIYGBgehFW/OpTDJWagLO/X8aGsujDIrpQ/RfzZWUtBkFguHiLu16Tr4MVDJDFEQ1dacMH69yBXBMS2hUfMC00oPJutCo/I3KmsVKRE0G+D4iGmBrx89xpvPx9SJk1B0kSJJbY+fr6kqWu6a/X1ruumWtYW/H78+pkBk39j85GdGI1GPD088fbxJknCxPRp5cWQLv1wCotTdZGPsBhVP5sD+BW88My6vnz9QrL8mVm2bBktWjTHmuzZs4fGjZvw8Ox1MqQzqylvEP69CcbUUKxDamvdr7StJQaV8YhtNRQ0kcJF9INVpkCI2NooU5xDm18NujYsHpLSMydKEqXSmSFGYwSU5UpnmtrqymwCgvrXxuCYKo8poyvTJ9W1XmZTMd7YeDaRrrQ0oXnJS+tlNiXx2rREp9l3KlNmUxpvNEp0horKOYaEWq9hLf47N+83s5PEF54Jh48j+e6F5SbTpkhtPT5xBmkuIr9JEyZm6eiZ/O/tK/acOsRXf2/SpUhD3fLV8YznISmzKah9DYr1ua3GJ+fX2nPb0a8Bs1e92RguLqbXob+//OY3X19Tv4uz6PVpXn7SzC+gXKpS4Edsa1ZqU9QnbWuJwaxfofSnbJlQmZgE3zVgXorS1B9ZjlKuFKW4X67EpbJfDbqiMpumx1OOwVKZTTWiOkPekWKAJKONaqYs7pfLlME+Ga6eKVvW1TPl8Lb9M2XJOFHMGH38fElTvwAAr3ZeI4Gn6KyxXDYJwtlERV2zvzeZ+CT9cSRTLtWgKinSpGTL1i1Yk/btO3D10hWuHT5jGi9aWaqeKZv6406mHNUYUnhmR0nUYTt8GNHar3hN2bxfbk1Z3C+3pgzYZS1YUtlKX1M2SUysKYtsHf5IFKheU5b0aylSEsW1VScnJ8oXKkX5QqVwcnJSLjcpWXNGg675+rn8mqLss4njU+nX3mvK33foyt59+9i3bx+W5PjxE2zdupVeHbtGwl9pPdd8bTUOrylLbB18TVnZrwZdg21iUBJNGXLEcDKZsrjf0TNlzboqM1x7Zcqa443ijIGeKYe3406mbNFWLmN0tEzZXn41ZMrBIcE069GefccOMXjwILy8vEibNi1v377l77+XMmHCBEoUKsrO5Rtxd3fXdqmDecaoZ8ph8t/JlJN7ZkNJVAN5W/J+svDUoWxN1yDTFxtT6up1dSiHt3UoW9aNQ1BW8Gv+EgwICGDoxNEsXLUUXz9fEiRIgI+PD25ubnRs3obJI8fj6RF5o1asQ1ncr0M5Cn7tD2WbAxnk4alD2ZrutwlliS8Hh3J0bHUoW9P9NqEM8OnLZ7bt38W7D+9JljQp9avXJnnSZOGOhbZxCcqKMaiMR2xrJyib2qGClrU+R4ayXYAMOpQt9etQtqIrm7U6dqYssXVQKPv4+ZK/QyXAwPWVR6wee9KhrOxX8jLUADkdyvJjSMaUeLINlKW2jgFlNUB2UtSwIHIbskK0bN5ysI1emnU1bdAyyvTZaIOWLZ/NvC2z0UviS1NlLsfe6CWxVdjoJTeOvTd6vf/8kfefPwj7tGx4crSNXrHkV4Ieo5U/mxwLbTXo2mWjl7g/WjGI7NQWELHTRi9T20nQst4ntrXeF1sbvayJaiDLVdvSoazsx6SrQ1lsGxegLPRjHcpK48T07muLtjqUFf3qUFZpK4hB3RiSMSWe5KEsGlXUijqUhbb2grKyaMqQdSgrj6ND2YpuNKAsf5zK/lDWciRKLDEGZbk+Hcqa/epQVmkriEHdGJIxJZ60ZLTyUFbrV2obO1DWPGWtQ1l5HB3KVnSjCGVxv6NDOdbOKcv16VDW7FeHskpbQQwiPZVnp+0FZa1nhGMbytFeQxa3dSgr+zHp6lAW29oUyjJ+HRLKaseJqSIa/xEov/vwnn1HD7Ln6AGev3qhQ9lqDOpjko1fAcqibb5Cvw4IZYGuDaCsYQ3ZiNobnHQoK/sx6epQFtvaDMqgCcpqs2ytUFa9pmzBVnYcczjJvFh1KFv2++jZEzoM7Emm8vmp07k59Tq3IGv5gjTr1YFrt24IdHUoq7QVxCCjq+BXC5TVbvQS3wRlKyhLdGWgrEaiMGWtHsrmbR3K1nR1KIttYwPKElsFKKvdfS0exx5QdjI4USRnAYrkKhBxW5MYyprKWFrrA4eEssBWhd/7jx9SvkVtjpw7yahRo7h+/Rq3bt1k6tS/uPHwDhVa1ObMxfMCPzqUVdoKYpDRtRGUTW3b776W2sYMlFWfQ96c9AdBW9O1imZtuXPK4nZsnFMW99vqAgj9nLIV3SieUxb3K50DRsZvTBQPkejKnVMW2SpWDouJ87qxcU5ZMQbxd2jWlvFboXVd3n/9xL79e0mdOrVA7+vXr9Sv34A3L15x+9B5XFyFNzpJXpb6OWXFmGTjV/ArSs1EfaIfbnY4pyy11aArQmtSz4woSTSOPanLlMVtuUxZ3FbKlAVthUzZfhmuuqxVEoOeKVsexwEz5XdfPvLXtiWUGtqMDF3LkqtPNfrMG8mF+9cdKlO22GerTFQpU5bVjWJGqxiD+DtU9nvu6iVOXzzL+P/9LoExQMKECfnrryk8evaEnYf2SuL95jJlQVvPlJX9Rj1TViPRPPYUu1CW6MpAWdyODShLYlCAstp4HQbKghevApTNdR0Yytee3KHyyHZM27WUCjWrMGHiBHr37cPZ59epPaYz03cs1aGsSlc7PO3hd/eR/SRLmpQ6depgTYoWLUrePHnZcXCPRb+KUJaBXIxBWWAr/+9BC5Q1xW8mOpTViQ2OPelQVtSNIpS1xKsJ4BqhrOV7UA1lsa4ClNVm2baE8qevX2gz/SfSZ8nIzVs3mD9/Ht9//z3Dhw/n+o3rDB06hHHrZrL1332xCmVffz8KdK5CgY6V8fX3sxyDDmUAvH19SJIkKc7OzshJ8hTJ8fH1tepXFsrithKUowxEGShLbG0D5fA4rPvRoSzR1QBlGx170qGsqBsDUNaiqxW0sQ1lSX8MQHntyZ189PnMho3rJdObTk5ODB8+nJo1azJt51LTHcSxBGUjRp68ec6TN8/lY9ChTKa06Xn67Clv377Fmvj7+3Pzxg0ypk0v69dmUFbQlQeiDmVT37cB5WisIetQ1qzrYFBWjDeOQ1nteWNrY64/s5uGDRuSPn16LInBYOD773tx7dFtbj67L4lXn75W9iOJwc5Qblm3Cc5OzixYsABrsmbNGt5/+EDn5m0V/epQtuYnGlCW8RunoaxCormGrENZs64OZYsx2QPKYlutUH71+R358uVFTvLl+w6AV58iM67YgLJEdChb9Js8aTK+b+fF+PH/Y+XKlQJ7o9HI7t27+emnn2lZrwm5suZQ5VeHsjU/UYSyJAaRraD1bUHZRVlFKKHGUMGRI2nbGHFcSVk3sh1iNAqORMnpmo+hqBtqFByJMgaHCo7smLeNIaGCYy0SXbN+OT+KujLjSHWNgiMymuKNjWcTtc3FGBoqOMIjjolQY8RRFkm8crZmdkq24u+T0NCIo01iu4TxPHn16pXFZwmXly9fApDAzVPwuWDMUKPwSE5IqOBYk1x84uc2t5X0icX8+xTHYER4rMW8X/x9Go3CI0fmfiV9CN9PsrqiccxjkIsvmn5/H/Ab7z68p1u37kz8YyINGjbExcWZvXv2cvHSJWpXqs6C/03T5NeAiBui+AVto1EwhWkwIjwaJKMr9iuwFeuKxczWYDQKj0RpiFc+BrEf6zFJn1tmHPGYmH/fTpj/GjRgEBxHMuBkdhxJaCnsE9tq8ausq0ZUoztEU/arZ8qKuv+VTFnL7utwfWvxxlCmHG5bp2AF1q9dj69oc4+5LFu2lLTJUlEka175MfXpa0U/khjslCm7OLuwcPx09i/dQqEc37FhzTpWLVtJ2qSp+Gf+KrbOXYln2J3SWvzqmbI1PzGVKZud3XfATFmNqC4MsiZRT0BY2EO5IIgW3ci2rYqHSHRlioeI27FRPEQSg0zxEM3xxsaziTNlQYEI+e9BoKtYyMOsranwiOh/GJHfpx9fUX50W1q0aMG8+fNwcRFOKO3atYsWLVryS6Pu9KvfRd2Ydige4uPvS4aWxQB4vuEi8eN5Ol7xEEVd8bOK0iFrfQ7oV/JCFb+XzdtyxUMUdMV+jXK6MjHJFg+JVgxiP9ZjUix+IuNXCjCzH6yi3tgsHpLEI50kUrFonrI2n1rWOn0NkYDUp6+lfZIYvrXpa8EUqmNPXwNkTJqGaR2H8ePf47h+/Qbf9+5FoUKFeP/+PSuWr2D9hg3ULFiePrXayU5923v62mAwkCdjdjBE1uuVneINy+pUTQ+HZ4Aqpofj4vS1Wr+hoaEcO3uKReuWc+/xA9zd3KlWrhJdW3Ugbao0+vS1xRjEfmJi+hrMp4+Vp6+JsI6p6Ws50Zwhh0tUM2Vxv5Kt2nH0TFllvHqmLLFVypT/fXCVGXuXc+j6vxFTmFlSZaBLpaZ0q94CF2cXi7aK8ZrHqKGcp63KbEr6bZkxmvfH8Uz5q683bfp1Y8/RA+TMkZOy5crw9as3u3fvJigoiFljJuHVqoPEVs+UrflxtExZaC2fKWv1G9lO7JFWEqFYVAN5VcLusrAEJdDaH8ricXQoK8ekQzm8Tx7KBmcnXn9+x8tP7/B09yBnmswRFzlEq262HaAs7nd0KEt1HQfKRqOR+t1bcfryeRYuXED9+vUj/H769Inhvw1n4aJFrJv1N03rNJT41aFszc9/D8o2BzLIw1Lc7+hQBiGYHQJcmmCq8KNCZUw6lMP7lKFsfUwdyhb92gPKohhtBmULfo/8e4LqHRuzfv066tevj1iMRiNNmzTl0b0HXN17OmI8sV/BS1YOcqagI+10KCuPE0egrAbI4v9FFCXG7jqWGcemu7zNd2pGp4SkqE9trWktJS+lMRnldVXuhNb6bLYYE4hTu6/Ftjatm20eo+KzSb8z3wA/yvRtSJk+9fEN8LNoq3gvsr12N5v3y+y+lurKxCeKUSm+6PhdtH4FuXPlol69elgSg8HAgIEDuHX/LsfPnrbqV8AMud3MpqAj7ZR2PstUutJ3X4eL2Q9ThR3W5tbyu6+1+lWHWtVAloPnfwXKoAAcTUeZ5AEpG4MdoKyoG40fHHJjxhiUVdrGRSgbjUZuPb3Praf3MQaHWLX9r0I5On7vPX5AmbJlpJm2mZQtW9ak+/C+rF+7QFmkGyegrDImxdrdcQ7KyqLJQodyWFuHsjQGR4eyBltjiFH4ncYBKAtEy3loHcqyft1cXfH29kFOvL29AXB3c1P06xBQlgNzTEBZyVYkmqBsHr/Ek+NDOVpT1jqUlfvE/f9lKMvpOhqUTf3qoRzdutmR7ahBWSI6lG3it0rpCuzevZsvX75gTdatW4eTkxMVSpRV5TfWoSzWFYsIygYZvw4HZVE7rkFZe06NDuWItg5laQzR0I0xKMvFF0Uoi211KFvxG8eg3LV5B/z9/RkxfIT02YDnz58zceKfNKhWhwxpzQo/fENQNtnaCcpq4xHb2hDKBhnwxjSUNawhq4enDmVpn7hfh7JlXTGUxfciW9W100YvU3/cgbI+fa0cnxa/6VOnZfpvE5g3fz4tmrfg+PEThISE8PnzZxYsWEDlylVwCoWpw/+nOV4dypb8xDyUTf32h7Ia0biGrEPZYluHsjQGG0EZxJCLHSgLx7QdlGXXozVAWbZPh3K0/HZr2ZFVUxZy+8YtatSoQYIECUmTJi39+w+gaJ6CHF2zU5Ad61AO86l6XVtDPJL4vi0oqz6HvCy+V+RwGs4T/1fOKQM2LPoRjTPDdjinrKhrq2eTOacMiM4MK+jKnhm2/znl6NhqPafsG+BH2YFNADg1bQue7h4W/ejnlKPnNzQ0lOPnT3Pv8QPc3NyoVKocmdJlsEm8gpewrc4pi3RlzwiLdcUisbXuN8ox2OucsqgtBZ7oB6vMWWSxtVHmLDKivkQeKSUjiyVKQAYdylbbOpSlMTg6lEW2yoVHzF+0sQBlkC+XqRcPkcRoKyjb068OZQv9CgVNZIufOBiUE3qkkIwqFg1ryKGiqWR9+tpiW5++lsYQC9PXknhjYfe1NF7r09eK8YqnX1UevRKvw8eJ6etQtbpG0Z4D+09f29PvNzt9rTkGlfGIbWNh+lrcLzd9rUa0aSMGpDw81d51bE8oqx1HUVcE5SifwdWhrFlXh3J4O2pQlvQrQFn2XuRoQFkWThJoW/ZjWVc9lFXf+axD2bLoULZobSsoawYyqIeyuK0E5ajCPsYycvH/TFE9g6tDWbOuDuXwthTKfoH+VP+1LdWGtMYv0N/qOGqhLBlHCcq2glMMQFnS74AZeHSgrHqzlA5lk53EU+xCWdOUtbW2raAcHb+ODmWJrgKMVOvaEcr2+sER1R8nOpTD26J/r0EhXHpwg0sPbhAiLp0ZE1CGbxfKGvzaMgOXQFktaNEIZXM46VAOE3tBWVk0Zcg6lMPaMQBlLbqS4zMKUBasMTrElLoOZSVbxUxZbXzifh3KsedXIQOXvM7tAWVRvw7lcIkdKEdrDVnc1qEs/TPEDLjE/crTznELygJbHcphbR3KlnXjEJQV/MZ5KKuNwUGgLDrjI/QbA1CO9hqyuK1DWfpn0KGsJiYtukpQVlsExFGgHOXLLGJgo5dkHB3KMeo3TkNZ3O/gUAZtUBaCOfpQVg1ke8FTh7Jyn2ZdHcpSXw4OZYnoUJb2gQ5lS+N8a1CWjUFlPGJbjVAWinUom9rqoKxGNGnrULaiq0NZWVeHsqJtdKavJaJDWdKvQ1mdbqxDWTEGlfGIbe20pmxhVFHLjseedChb0Y3DUA4KDeGVz0feB3w1nRf9D0PZdnWzYxbKyRMmIXnCJEJbHcqSfh3K6nR1KNtvo5ecqC6dOc+9naCkpFw5THFbrhymuG0vvzFWzlNcHi9GymNGreTlm4DPrHx6iC0v/+VzgOmS9WyJ0tIiQ3laZCqPu7u7+nhj69nM2zJlNiW+NNWw/m+U2ZT0Kz2b+TgxVW5SUoZTpR9Rv1x8kn4H9Ct5aRus/NnkWGirQVdQbtJWZTbF/dGKQX1MsV1mM75HYquxRQyrBcgQdXia2gZVujqUlfs064qg/NDnFT0uzSLI1UinLp2pVKkifn7+bNq4ka1b/6FI0mzMLN4bT/d46uP9j0JZ3O/oUFYaR67+tQ5lx/GrQ1mlrSAGGV07Q9kuQIaYu9RBrV8dyip1w/qDQ0NodmEC8dMnY+funaRJk0agd/z4CRo1aEjdVMUYUaCtg1yS8Q1BGQRwtVuWHRtQBtVw0qEcfb86lFXaCmKQ0VXwK1rEFPWJliIE/UZVQHZS1LAgMXWpg1q/oUajar/6mjIcfX+NJ95vWLRkkQTGAOXLl2PosF/55/m/fAr0/s+uKYtto3fG2fracHTXo/0C/Wn8v540/l9PfP19zfyIxtSwdi13p7LiLm+Va6vRqmwVW2vK5rb6mrJlXWvxQMysKSvEJBu/gl9RSibqE/2wktl9bU1UA9lW8DS1bQ9lLX7FtbBjC8r2qcSloBsSyt63lyhauAhFihTBmnTu3Img0GAOvb5i1Y/cs6nW1aGsOKbEVtQXEhzCyVsXOHnrAqFGozBeB4eypF8JyrJAtDy+ZV1hfPa4yUqTXx3KNohBfUyxA2Vl0aT9LUFZ3LbbxRcyUBa3bXuUybru5yAfMmfNgpykSJGCBJ7x+RS22UtpDHG/DmVrY9oHymL5ZqEs9qsEZZXwlMRgIyhr8huNDDxOQFlgq0PZkmiesv6vQlnc1nT0ysGgnNQlPg/u3UdOXr9+jbevD0ldEzjkOWXV34P4JadD2ST/FSgr6joYlDX4FWfgsQVl2WNFMjEpQlnO7zcKZQ1T1rEPTx3K0v6oQLlmyiJcvnqFM2fOYE2WLFmCu7MrVVIXCvMjhLLq6XY7QVmsr6SrCcoqzxs7IpRl49WhrOhHEoODQ1lsqwhlGchJoKwSiFJbG0FZ3Nb0w0DsJ/ahrEY0TlnHPjx1KEv7tYKrfLJ8ZEuQFq/OXjx9+gyxHDx4kAn/m0DjNKVJ5Opp5sd6/EpQ1rJeLvssMQFlsa4OZYsx6FB2TL+yUBa35aCsoOtoUJbGIPbj+FCOwpR17MNTh7K0Xwu4nELgrzxe+L3+TJFChenbty8bN25i5cqVNGnchPr1G1A8UQ4G5mosW2ZTc7x2grImXTtBOeolOm0EZZHoUA7vQ4OuDmXQoWxRN4agrPoc8izX1sIh7XCe2FH8xkiREplzyuJ2VCtxKel+Mvqy9sVxNr/9l7d+nwDIkzgjLdOUo0Hqkri6ucr4kTlnbaPzxXY7pwyis53yZ3u1VeZSd8bZlueUfYP9+W5AXQCuT9tNfHcPVbaOfk5Z0q/lvK7cOWVFXfGzWj+nKvtsDuBX8nKXO2crd05ZQTfK55QltvL/HtTGIInDAc4pe3jEtzpmhDu1QJ7h0tIh4alDWdqvBcoGFydCjaH4hATgYnDC083Dqm1sQNlSvLYYU1PxEJG+I0L5Wy0eIunXoazZb2xAWWJrq+Ih0YpB7CdmoawGyNE89hT708z69LW0X+u6q5PBiYQuHng4u2vcoGX/6WtL8dpiTOl0n22mryX9CtPXai+W0NeUpXagT1+r8evw09dGoW2cmL6W8Ss3fa0kNjj2FPvw1KEs7Y/WZqg4DmW7HIkK17cWr82OU8lDWfV6tA5lK31o0NWhDDEEZZGtw0NZEoPIVtByQi1qNRx7CrX4Z1M79uGpQ1na/1+FslbduARlsa0xNBT/oADazfiJdjN+ws/fX2inMst2FCjbpbKVDmVAh7J1PzEBZXUS5SlrJcjJ6cYUlG0VrxjKWmpsy8WrQzkKujqUJbYhwcEcuHaKA9dOERIaGuWpbwkQbQhlWfhHFU7iGQ4dyop+dShb8+MYUI7WlLUc5JR07QVPu9WljuKPCk0XXzgIlKNe9EOHsqKtnaAslmitR2uAsqBgjAyUJba2grLIVgnKwtrYyOrGdHwW/Rqt9FnwK3sZhw5lCzGI/cQ+lDUDGewD5bjgNyYy/dBQowDMsQEuLeNIAa5DWdH2G4KyeBxHh7KkXwHKaiGnNT7VfkW+Fb8zDVAWgEKHsmJMMQHlKJXONLUdG55xGcqAJiirnXaWwNNGUJbqykPZZrumdShb8GsdluJ+HcrhfWjQtU1Gq8lvuG87+NUEZTO/OpRVjKPwaJYkyqUzTW3Hhud/BcqgABxN0872h7JivNH4wWGLMYFoQVl+J7R9oGzNTslWh3J4Hxp0YweesQ5lk+NIOw0AjzUoq47Bgq0VsSeUo1U609R2bHjqUJb2ifsdHcqKug4GZck4NrvMQoeyqYH1PpGtDmV1fu0CZZFurEBZSwzifgUoy8YfRShHcQ05bsFTh7K0T9z/rUFZ7bPZE8oCXZvVzZaHsupzyiJbHcrhfWjQ1aEMcQTKMn1RhbLE1gZQVl06UxdddNFFF110sZ9EKUPWRRdddNFFF11sKzqQddFFF1100cUBRAeyLrrooosuujiA6EDWRRdddNFFFwcQHci66KKLLrro4gCiA1kXXXTRRRddHEB0IOuiiy666KKLA4gOZF100UUXXXRxANGBrIsuuuiiiy4OIP8HFGUu0irdpBQAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plot_decision_function(\n", " est, \"Linearly separable, linear SVC\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The linear SVC tried to separate the points with a line and it did a pretty good job.\n", "\n", "( **The red circles indicate support vectors.** )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**[学習]**\n", "\n", "$x + y> a$ ($a$はデータが2分類できるように、$-2 6. We now modify the labels with a *XOR* function. A point's label is 1 if the coordinates have different signs. This classification is not linearly separable. Therefore, a linear SVC fails completely.\n", "\n", "1,3象限はtrue, 2、4象限はfalseとなるデータを作成し、線形識別してみる。\n", "\n", "ここでは、SVMのハイパーパラメータをグリッドサーチ(しらみつぶし探索)GridSearchCVによって良いものを選んでいる。(ここではそれには立ち入らない)\n", "\n", "うまくいかないという警告が多数出力される!が、つぎのような結果になるだろう。試してみてほしい。\n", "\n", "![svc_nogood_linear](images/svc_linear_nogood.png)\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [] }, "outputs": [], "source": [ "import sklearn.model_selection as ms\n", "\n", "y = np.logical_xor(X[:, 0] > 0, X[:, 1] > 0) # 第1象限と第3象限のみfalse\n", "\n", "# We train the classifier.\n", "est = ms.GridSearchCV(svm.LinearSVC(),\n", " {'C': np.logspace(-3., 3., 10)})\n", "est.fit(X, y)\n", "print(\"Score: {0:.1f}\".format(\n", " ms.cross_val_score(est, X, y).mean()))\n", "\n", "# We plot the decision function.\n", "ax = plot_decision_function(\n", " est, \"XOR, linear SVC\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "これは、直線による区分は、当然だが、できないことを意味する。(収束しない!)\n", "\n", "そこでSVRが登場するのだが、基本的なロジックは\n", "\n", "1. これまでに用いてきたの同様に、線形分類で切るように、ある非線形関数(基底)により変換する。\n", "2. そのような基底を見つけるのは一般には困難であるが、それは「カーネルトリック」と呼ばれる巧妙な方法で解決できる。\n", "\n", "この部分は[別のノート](svc_note.html)で述べる。\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 非線形変換を含む識別機 (カーネル法の導入)\n", "\n", "SVMでは、カーネルを用いて分類線(境界)を計算することができる。\n", "\n", "データ${\\bf x}$ に対する非線形関数$\\{{\\bf\\phi}_1, {\\bf\\phi}_2, \\cdots, {\\bf\\phi}_M\\}$を用意し、\n", "$$\n", "y({\\bf x}) = {\\bf w}^T {\\bf \\phi}({\\bf x}) +b\n", "$$\n", "のような、目標変数と説明変数の間に非線形な関係があるとし、係数${\\bf w} = (w_1, w_2, \\cdots, w_M)^T$を学習により求める。\n", "\n", "この問題は、$k({\\bf x},{\\bf x'})= {\\bf \\phi} ({\\bf x})^T{\\bf \\phi} ({\\bf x}')$で定義されるカーネルを用いて\n", "\n", "$$\n", " y({\\bf x}) = \\sum_{n=1}^{N} a_n t_n k({\\bf x}, {\\bf x_n}) + b\n", "$$\n", "\n", "の形式に変換できることが知られている。ここで$t_n$は訓練データ${\\bf x_n}$に対する目標値であり、$a_n$は学習により求める係数である。\n", "\n", "ここからは、${\\bf \\phi}$からカーネル$k({\\bf x},{\\bf x'})$を作ったことは**忘れることにする。**\n", "\n", "つまり、、非線形関数${\\bf \\phi}$を設定するのではなく、カーネル$k({\\bf x},{\\bf x'})$自体に何らかの関数を指定することにより識別学習を行えることである。(逆に言えば関数${\\bf \\phi}$はどのようなものかわからない。) [^1]\n", "\n", "Scikit-learnのSVCでは、カーネルとしては標準的にガウシアン放射基底関数(Gaussian Radial Basis Function)が用いられている。この置き換えは**kernel trick**と呼ばれる。\n", "\n", "$$\n", "k({\\bf x},{\\bf x'}) = \\exp ( -\\gamma || {\\bf x}-{\\bf x'} ||^2)\n", "$$\n", "\n", "が用いられる。\n", "\n", "RBFカーネルに含まれるパラメータ$\\gamma$の値をどう選ぶかは重要である。これは利用者が与える必要がある(このようなパラメータは**ハイパーパラメータ**と呼ばれる)。ここでは**グリッドサーチ**を使って最適なものを探す。後の節で述べるように、実際のデータでは**交差検定**を用いて最適なものを選ぶことがよく行われる。\n", "\n", "> The $\\phi$ function does not need to be computed explicitly. This is the kernel trick; it suffices to know the kernel $k(x,x')$. The existence of a function $\\phi$ corresponding to a given kernel $k(x, x')$ is guaranteed by a mathematical theorem in functional analysis (Mercer's theorem).\n", "\n", "\n", "> 7. Fortunately, it is possible to use nonlinear SVCs by using **nonlinear kernels**. Kernels specify a nonlinear transformation of the points into a higher dimensional space. Transformed points in this space are assumed to be more linearly separable. By default, the **SVC** classifier in scikit-learn uses the **Radial Basis Function (RBF)** kernel:\n", "\n", "\"nonlinear transformation of the points into a higher dimensional space\"とうところが理解しにくいところであるが、この比喩的表現を使わずに、生の数学的記述を学習するのが良いだろう。(線形の場合は、各データ点の境界線からの最短距離を評価に用いたが、これを曲がりくねった境界全体からの離れ具合をカーネルを通じて評価することを行っている。)\n", "\n", "少し立ち入った説明は[こちら](https://8tops.yamanashi.ac.jp/~toyoki/lectures/simulationMethods/svr_note.html)\n", "\n", "【注】\n", "[^1]: カーネル法について、平井のテキストではCoverの言葉を引用して「『線形分離可能でない学習データは、非線形変換で高次特徴空間へ写像することにより線形分離可能となる可能性がある』という予測を頼りに、非線形写像を考えることにする」として説明を始めている。(「初めてのパターン認識」平井有三、森北出版 p.121)\n", "\n", "
" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Score: 0.920\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import sklearn.model_selection as ms\n", "\n", "y = np.logical_xor(X[:, 0] > 0, X[:, 1] > 0)\n", "\n", "# determine the hyper-parameters C and gamma, and then create the SVM machine object with the optimal parameters\n", "#est = ms.GridSearchCV(\n", "# svm.SVC(), {'C': np.logspace(-3., 3., 10),\n", "# 'gamma': np.logspace(-3., 3., 10)})\n", "est = svm.SVC(kernel=\"rbf\")\n", "est.fit(X, y)\n", "print(\"Score: {0:.3f}\".format(\n", " ms.cross_val_score(est, X, y).mean()))\n", "\n", "#plot_decision_function(\n", "# est.best_estimator_, \"XOR, non-linear SVC\")\n", "plot_decision_function(\n", " est, \"XOR, non-linear SVC\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> This time, the non-linear SVC does a pretty good job at classifying these non-linearly separable points.\n", "\n", "境界からの離れ具合は青色のグラデーションで表示されている。\n", "\n", "**[練習]**\n", "\n", "最初の訓練データを作り変えてSVCの性能を試してみよう。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 回帰問題に対するサポートベクトルマシンの利用 (SVR: Support Vector Regression)\n", "\n", "分類のためのSVMは、逆に、境界領域にたくさんのデータがあり、境界線より離れたところに少ないデータが存在する場合を想定すると、境界線が回帰線に対応する。そのことを積極的に使ったのがサポートベクトル(マシン)回帰(SVR)である。若干の数理的ノートは[こちら](https://toyoki-lab.ee.yamanashi.ac.jp/~toyoki/lectures/PracDataSci/svr_note.html)\n", "\n", "例によって、つぎのような、sin関数にノイズを載せたデータを用いる。\n" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [], "source": [ "# データ作成用関数 (randomnessはノイズの大きさ)\n", "import random\n", "def make_data_by_sin_gaussian(x, randomness=0.3):\n", " # y=sin (x)を計算し、ガウス分布に従うノイズを加える\n", " y = np.sin(x)\n", " e = [random.gauss(0, randomness) for i in range(len(y))]\n", " # e = np.random.randn(len(x))*0.2\n", " y += e\n", " return y\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### scikit-learn所収のSVRの利用\n", "\n", "scikit-learnに含まれているSVR藻じゅーうるを利用するのはいたって簡単で、包括的なモジュールsvmを読み込みその中のメソッドSVRの引数としてデータを与えるだけであり、基本的には今までの回帰メソッドと同様である。\n", "\n", "データの範囲を越えた予測は困難だが、無難な値に収まっている。(基底関数を多項式にとったリッジ回帰などと比べてみてほしい。)\n", "\n", "[pythonスクリプトに関するコメント](comments_python_scripts.html#numpy2)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import random\n", "import matplotlib.pyplot as plt\n", "from sklearn import svm\n", "\n", "x_max = 9. # 予測の範囲の上限\n", "\n", "# トレーニングデータ作成\n", "n_tr = 40\n", "x = np.linspace(0., np.pi*2., n_tr) # リスト 0から2πまでをn_tr等分した値を一次元配列\n", "y = make_data_by_sin_gaussian(x, 0.2) # 第2引数は乗せるノイズの大きさ\n", "X = x[:, np.newaxis]\n", " \n", "# 学習を行う\n", "svr = svm.SVR(kernel='rbf')\n", "svr.fit(X, y)\n", " \n", "# テストデータとして説明変数(x_test)を[0,x_max]の範囲の1000の点を用意し、推定値を計算し(結果はy_test)、\n", "# 回帰曲線(x_test,y_test)を描く\n", "x_test = np.linspace(0, x_max, 1000)\n", "y_test = svr.predict(x_test[:, np.newaxis])\n", " \n", "#グラフにプロットする。\n", "plt.scatter(x, y)\n", "plt.plot(x_test, y_test)\n", "# サポートベクトルの表示(データポイントに赤で上書き)\n", "plt.scatter(X[svr.support_], y[svr.support_], c=\"red\") \n", "plt.show()\n", "# print(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "上の出力では、サポートベクトルであるデータを赤色で表示した。\n", "\n", "推定の計算はデータの周辺部分(サポートベクトル)について行われる。サポートベクトルがデータ全体の数に比べて少なければ(疎(スパース)であるという)、計算時間の節約になる。これがSVRの利点である。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 5\n", "\n", "次のようなsinc関数にノイズを加えたデータについてSVRでの推定曲線を描いてみよう。\n", "\n", "時間があればハイパーパラメータをいろいろ調整することや、参考に載せたRidge回帰やRVR(Relevance Vector Regression)も試してみよう。\n", "\n" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "np.random.seed(8)\n", "rng = np.random.RandomState(0)\n", "\n", "# Generate sample data\n", "X = 4 * np.pi * np.random.random(100) - 2 * np.pi\n", "y = np.sinc(X)\n", "y += 0.25 * (0.5 - rng.rand(X.shape[0])) # add noise\n", "\n", "# X = X[:, None]\n", "\n", "plt.plot(X, y, \"bo\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## (参考) skitlearnのカーネルリッジ回帰\n", "\n", "内部のアルゴリズムは筆者にはわからないが、scikit-learnにはリッジ回帰のカーネル版があるようだ。\n", "\n", "これの利用では、基底関数を選ぶのではなく、カーネルを選択する。標準はrbf(Radial Basis Function)カーネルである。\n", "\n", "以下は、その利用例である。\n", "\n", "なお、SVRとKernelRidgeの比較は、\n", "\n", "https://scikit-learn.org/stable/auto_examples/miscellaneous/plot_kernel_ridge_regression.html#sphx-glr-auto-examples-miscellaneous-plot-kernel-ridge-regression-py\n", "\n", "にある。\n", "\n", "(注)\n", "\n", "このページにあるように、一般にはハイパーパラメータをいろいろ試して最適な値にするために「虱潰し」に探索する(交差検定)を行うGridSearchCVがよく利用される。" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.kernel_ridge import KernelRidge\n", "\n", "x_max = 9. # 予測の範囲の上限\n", "# トレーニングデータ作成\n", "n_tr = 40\n", "x = np.linspace(0., np.pi*2., n_tr) # リスト 0から2πまでをn_tr等分した値を一次元配列\n", "y = make_data_by_sin_gaussian(x)\n", "X = x[:, np.newaxis]\n", "\n", "kernel_ridge = KernelRidge(kernel=\"rbf\") # 新しいのはこの部分(svrをこれに入れ替えるだけ)\n", "\n", "# 学習を行う\n", "kernel_ridge.fit(X, y)\n", " \n", "# 回帰曲線を描く\n", "x_test = np.linspace(0, x_max, 10000)\n", "y_test = kernel_ridge.predict(x_test[:, np.newaxis])\n", " \n", "#グラフにプロットする。\n", "plt.scatter(x, y)\n", "plt.plot(x_test, y_test)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Relevance Vector Machine\n", "\n", "SVMは様々なところで実用的に用いられているが、得られるのは識別や回帰の結果だけであり、予測に対する事後確率は計算できない。その点を改良する方法として関連ベクトルマシン(RVM: relevance vector machine)というのが考案されている。「疎なカーネルベースのベイズ流学習手法」であるとPRML7.2節に述べられている。\n", "\n", "この方法はMicrosoftの特許であったが、2019/09に期限切れになった。それ以降、scikit-learnに実装された。興味があればそれも使ってみてほしい。\n", "\n", "2023/07現在、anacondaの標準パッケージには入っていないが、sklearn-rvm (ver 0.1.1)はpipを使ってインストールできる。\n", "\n", "- Wikipediaの解説 https://en.wikipedia.org/wiki/Relevance_vector_machine\n", "- scikit-learnへの実装:sklern-rvm https://sklearn-rvm.readthedocs.io/en/latest/about.html ここにインストールの案内がある。\n", "- PRMLの記述に沿った実装一例 https://qiita.com/ctgk/items/ee512530618a5eeccd1a\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn_rvm import EMRVR\n", "x_max = 9. # 予測の範囲の上限\n", "\n", "# トレーニングデータ作成\n", "n_tr = 50\n", "x = np.linspace(0., np.pi*2., n_tr) # リスト 0から2πまでをn_tr等分した値を一次元配列\n", "y = make_data_by_sin_gaussian(x)\n", "X = x[:, np.newaxis]\n", " \n", "# 学習を行う\n", "rvr = EMRVR(kernel='rbf', gamma=\"scale\")\n", "rvr.fit(X, y)\n", " \n", "# テスト\n", "x_test = np.linspace(0, x_max, 1000)\n", "y_test, y_std = rvr.predict(x_test[:, np.newaxis], return_std=True) # standard dev. can be also obtained if \"return_std\" is set to be True\n", " \n", "# plot prediction and the the width of std. dev.\n", "plt.scatter(x, y)\n", "plt.plot(x_test, y_test)\n", "plt.fill_between(x_test, y_test - y_std, y_test + y_std, color=\"darkorange\", alpha=0.2)\n", "\n", "\n", "# show relevance vectors by red circles\n", "relevance_vectors_idx = rvr.relevance_\n", "plt.scatter(X[relevance_vectors_idx], y[relevance_vectors_idx], s=80, facecolors=\"none\", edgecolors=\"r\",\n", " label=\"relevance vectors\")\n", "\n", "# sin(x)\n", "x_orig = np.linspace(0., x_max, 1000)\n", "plt.plot(x_orig, np.sin(x_orig), color=\"#a000a0\", linestyle=\"--\")\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "色がついているのは、推定カーブ$\\pm\\sigma$の範囲であるから、分布がガウシアンであるとすると、この範囲は約68%に相当する。全データ数と帯内に入っているデータ数がそれくらいであることを確かめてみよう。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 偏ったデータの場合\n", "\n", "時間があれば、[サンプルページ](various_data4fitting.html)を参照しにあるような偏ったデータを作ってそれぞれの方法を試してみよう。\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%html\n", "" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.16" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": true, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 4 }