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ADALINEの勉強
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2.4 ADALINEと学習の収束\n",
"\n",
"前のパーセプトロンとの違いは、\n",
"重みの更新に単位ステップ関数ではなく、線形活性化関数を用いる点\n",
"\n",
"<img src=\"https://drive.google.com/uc?export=view&id=1s7ZPo6EiL4OqunQdZVMSSNsM06bK0kCL\" width=\"80%\" alt=\"fig1\">\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2.5 勾配降下法によるコスト関数の最小化\n",
"\n",
"$$ J(\\mathbf{w}) = \\frac{1}{2} \\sum_{i} (y^{(i)} - \\phi (z^{(i)}))^2 $$\n",
"\n",
"コスト関数の極小値になるように学習を進めることで、学習を収束させることができる。\n",
"\n",
"ADALINEは微分可能な活性化関数を用いることと、コスト関数に誤差平方和を使い凸関数にすることで、勾配降下法を用いてコスト関数を最小化する重みを見つけることができる。\n",
"\n",
"<img src=\"https://drive.google.com/uc?export=view&id=1rTqh6KAFAhloWcX2zJB-IS01n90v65DG\" width=\"80%\" alt=\"fig2\">\n",
"\n",
"勾配降下法の原理を図にしたもの"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"勾配降下法を使って重みを更新するには、コスト関数 $ J(\\mathbf{w}) $ の勾配 $ \\nabla J(\\mathbf{w}) $ に沿って逆方向に1ステップ進む\n",
"\n",
"$$ \\mathbf{w} := \\mathbf{w} + \\Delta \\mathbf{w} $$\n",
"\n",
"$$ \\Delta \\mathbf{w} = - \\eta \\nabla J(\\mathbf{w}) $$\n",
"\n",
"$$ \\frac{\\partial J}{\\partial w_j} = - \\sum_i (y^{(i)} - \\phi (z^{(i)})) x_j^{(i)} $$\n",
"\n",
"なので\n",
"\n",
"$$ \\Delta w_j = - \\eta \\frac{\\partial J}{\\partial w_j} = \\eta \\sum_i (y^{(i)} - \\phi (z^{(i)})) x_j^{(i)} $$\n",
"\n",
"### 2.5.1 ADALINEをPythonで実装する\n",
"\n",
"ADALINEの学習規則はパーセプトロンに良く似ている。以下で実装"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"class AdalineGD(object):\n",
" \"\"\"ADAptive LInear NEuron 分類器\n",
" \n",
"    パラメータ\n",
" -----------\n",
" eta : float\n",
"        学習率(0.0より大きく1.0以下の値)\n",
"   n_iter : int\n",
"        トレーニングデータのトレーニング回数\n",
" random_state : int\n",
"        重み初期化用乱数シード\n",
"    属性\n",
"   -----------\n",
"   w_ : 1次元配列\n",
"        適合後の重み\n",
"   cost_ : リスト <- error_がcost_に変化\n",
"        各エポックでの誤差平方和のコスト関数\n",
"   \"\"\"\n",
" def __init__(self, eta=0.01, n_iter=50, random_state=1):\n",
" self.eta = eta\n",
" self.n_iter = n_iter\n",
" self.random_state = random_state\n",
" \n",
" def fit(self, X, y):\n",
" \"\"\"トレーニングデータに適合される\n",
" \n",
"        パラメータ\n",
" ------------\n",
"       X : {配列のようなデータ構造}, shape = [n_samples, n_features]\n",
"            トレーニングデータ\n",
"           n_samplesはサンプルの個数, n_featuresは特徴量の個数\n",
"       y : 配列のようなデータ構造, shape = [n_samples]\n",
"            目的変数\n",
" \n",
"        戻り値\n",
" ------------\n",
" self : object\n",
"       \"\"\"\n",
" rgen = np.random.RandomState(self.random_state)\n",
" self.w_ = rgen.normal(loc=0.0, scale=0.01, size=1 + X.shape[1])\n",
" self.cost_ = []\n",
"\n",
" for _ in range(self.n_iter): # トレーニング回数分トレーニングデータを反復\n",
" net_input = self.net_input(X) # パーセプトロンの実装のようにサンプルごとにループしなくても良い(なんでパーセプトロンではサンプルごとにループ回してたのかよくわからん)\n",
" # activationメソッドは単なる恒等関数であるため、\n",
" # このコードでは何の効果もない。単なる活性化関数の概念として実装。\n",
" # ロジスティック回帰の実装の場合はシグモイド関数に変更するだけで良いらしい。\n",
" output = self.activation(net_input)\n",
" # 誤差 y^(i) - φ(z^(i)) の計算\n",
" errors = y - output\n",
" # 重み w_1, ..., w_m の更新\n",
" self.w_[1:] += self.eta * X.T.dot(errors)\n",
" # 重み w_0 の更新\n",
" self.w_[0] += self.eta * errors.sum()\n",
" # コスト関数の計算\n",
" cost = (errors ** 2).sum() / 2.0\n",
" # コストの格納\n",
" self.cost_.append(cost)\n",
" return self\n",
"\n",
" def net_input(self, X):\n",
" \"\"\"総入力を計算\"\"\"\n",
" return np.dot(X, self.w_[1:]) + self.w_[0] # xiでループしなくとも良い\n",
"\n",
" def activation(self, X):\n",
" \"\"\"線形活性化関数の出力を計算\"\"\"\n",
" return X\n",
" \n",
" def predict(self, X):\n",
" \"\"\"1ステップ後のクラスラベルを返す\"\"\"\n",
" return np.where(self.activation(self.net_input(X)) >= 0.0, 1, -1)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"パーセプトロンの時のうまく分類できたデータで試す。"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Adaline - Learning rate 0.0001')"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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yy74KH9VidPSbf+vYqjnlHmk+cIxaDL3dDzEBAAAg0AT7OwAAAAAAdSO8S3/FjHhMtqDyRauMz16maAW/eO211xQSEqIFCxZo9erV2r9/v/Lz8xUdHa0hQ4Zo3Lhxio6OliStWLGiwsLV7t279fe//12PPfaYEhIStHLlSj3//PNKSkpS586d9cgjj6hv376SpBdffFF79uyp0+cId5kr3pUpzFOLC//PbX3ThBGyOcL125LX+T4CAABoxChcAQAAAI1AeNdzFXPNI+WLVlu+Usbnr/GfxPCrdu3a6d5779W9995baZ/58+fr9ttvl9PprPDxJ554Qq1bt9af/vQn9e3bV3Pnzi3X57///a8mTJjgs7hRc1k/fKjSwjy1HPZn2Wy/TwYT1XuY7I5wHfnkJam02I8RAgAAwF8oXAEAAAANXHjXAf+/aOX+8z9n85fHi1Yy/gkMkJSYmKjBgwdrwIABOvXUUxUdHa2mTZsqJydHycnJWrVqlWbNmqU1a9Z4HMcYo9tvv10LFizQ2LFjlZCQoOjoaB05ckTr1q3T9OnT9cUXX9TRs4I3cjZ9oVJnvqKv/Its9t+ni2zSY5BsjnAdWTRVprjiQiUAAAAaLgpXAAAAQAMW0e08RV/9cLmiVfamJfrti3+JohX8bfny5Vq+fLnPxvv888/1+eef+2w81K687d8pvahAMdc86nbvvYjOCWp9/WSlLXhaxpnvxwgBAABQ1+xVdwEAAABQH0Wcdr6iK7jSKvunLyhaAQgY+XvWKm3+JJWeUKAK69BLsaOfkT0s0k+RAQAAwB8oXAEAAAANUET3C45faeUy/ZYkZW/8XL8teV0UrQAEkoJfNil17pMqKchxWx96ymmKHfOcgpq08FNkAAAAqGsUrgAAAIAGJqLHIEVf9WD5otWPn+q3L98QRSsAgch5cIdS339MJbnH3NY7YjoqdszzCmoa46fIAAAAUJcoXAEAAAANSESPwYq+8q/lilZZGz7Rb1+9KYpWAAJZUdo+HZ79iIqz0t3Wh7Q8RW1ufEHBLdv5KTIAAADUFQpXAAAAQAPR5PQhir7yL+WLVusX6+jX0/wUFQBUT/FvKTr83sMqOnrQbX1w0xi1GfO8QmI6+SkyAAAA1AUKVwAAAEAD0OSMoWpVYdHqIx395t9+igoAaqYkK12p7z0iZ/p+t/VBTZordsxUOU7p7p/AAAAAUOsoXAEAAAD1XJOeQ9Vq+P2y2dx/3metW6Sj3/zHT1EBwMkpyT2q1NmPqfDgLrf1QWGRih09RWHxvf0UGQAAAGoThSsAAACgHmvS62K1uqKCotUPC3X02//6KSoA8I3Sgmylzn1CBb9ucVtvd4Sr9ciJCu/S30+RAQAAoLZQuAIAAADqqcgzL1Gry+8tV7TKXLtAR5fO8FNUAOBbxpmvtA8mKi9pndt6W7BDMdc+oYgeg/0UGQAAAGoDhSsAAACgHorsPUytLr+vfNFqzXwdWzbTT1EBQO0wxU6lf/g35e5Y4bbeZg9S9FV/VWTvYX6KDAAAAL5G4QoAAACoZyJ7D1Ory+4ptz5z9Qc69t1bdR8QANSF0mIdWfyicjZ/6bbaZrOr1WX3qGn/a/0UGAAAAHyJwhUAAABQj0T2ubziotWquTq2fJYfIgKAOmRKlfH5a8pa/1G5h1pc+Cc1G3ijH4ICAACALwX7OwAAAAAA3ok8a7haXTq+3PpjK99X5vfv+SEiAPAHo6Pf/Eelhblqfv4Yt0ean/9H2UOb6Og3/5FkrPU2R7iCo6Jlc4TLOPNVnH1Explfx3EDAADAGxSuAAAAgHogqu+VannJuHLrj30/W5krZ/shIgDwr8zvZ6u0MF8th/7JbX3TflfL7ghXxhevKbT9GYrqe6Uiup4rmz3I6mNKS5S3a7WyN36qwl+31HXoAAAA8IDCFQAAABDgos6+Wi0vHltu/bHv31Pmyvf9EBEABIbsdQtlnHlqOewu2Wy/3w0h8sxLFHHaebKHNqlwO5s9SE26D1ST7gPlTP9FGZ++JGdqUl2FDQAAAA+4xxUAAADgRzZHuEJaDCxb3QAAIABJREFUtZejbTeFtGovmyPc7fGoftdUXLRa8S5FKwCQlLNpiY58/HeZkmK39ZUVrU7kiIlX7JjnFNaxT22EBwAAgGriiisAAADAD0I79Kpy+ipHbGe1HHp7uW2PLn9bWavn1WW4ABDQ8rYvV7qzQDEjHpMtOKTa29sd4Yq59gmlzn6UK68AAAD8jMIVAAAAUIccsZ3Vavhf5IiJr/Bx1+mrKnL0u1nKWvNBbYYIAPVSftIPKsn5TcHNY2u0vd0RrlbDH9Ch/93t48gAAABQHUwVCAAAANSRsI59FDvmuUqLVlU5umwmRSsAqERoh141LlqVccR0VGj7Xj6KCAAAADVB4QoAAACoA47Yzoq59gnZT7iHlbey1n2krLULfBwVADQcUWcN9804fa/wyTgAAACoGQpXAAAAQB1oNfwvNS5aSVJYx94+jAYAGhabI1wR3Qb4ZKyIbufJdhLf1wAAADg5FK4AAACAWhbaoVeNpwcsw/RVAFC54Kho2exBPhnLZg9SUFQrn4wFAACA6qNwBQAAANQypq8CgNrl6yuk7I4In44HAAAA71G4AgAAAGoR01cBQO0zznyfjlfqzPPpeAAAAPAehSsAAACgFjF9FQDUvuLsIzKlJT4Zy5QUqyQ7wydjAQAAoPooXAEAAAC1iOmrAKD2GWe+8nat9slYebtX+/wKLgAAAHiPwhUAAABQi5i+CgDqRvbGT30zzo+f+WQcAAAA1AyFKwAAAKAWMX0VANSNwl+3yJn+y0mP0+SMIZKN/y4BAADwF36JAQAAALWI6asAoO5kfPqSSk/yezKq9zBFX/OIFBTio6gAAABQHRSuAAAAgFrG9FUAUDecqUlKX/i3ahevjDFufzc57Xy1HjnJ5/cpBAAAQNUoXAEAAAC1LKLLOSc9hjN9vwqTt/ggGgBo2Ar2/6TU2Y96PW2gM32/jn77X5lip9v68I69FXvD32QPb1obYQIAAKASwf4OAAAAAGjIWlx0h5r2u+akxih15ivj03/6KCIAaPicqUk69L+7FNq+l6L6DldEtwGy2YOsx01JsfJ2r1b2j59ZJwU4U/eq9R+elD00wuoX2rab2tz4vFLnPqmS7CN1/jwAAAAaIwpXAAAAQC1pcdFYNe13tds6Y4xsNpvXY5Q685W+8G9ypib5OjwAaPAKk7eoMHmLbI5wBUW1kt0RoVJnnkqyM8rdM7AweYtS339MrUc9raCIZtb6kFbt1eb/sXff4U2V/f/A3ydpku7dptBC2SBQlsBDGYIgQxB42FORn4Ai+OWBBwTLKhRkuUV4ABFQliCgZSggIktE9pBpoYyWJt27TZuc3x+VSEh3k5yO9+u6znW1n3Of+35Xe2maT+5zRi2HZsdc5CZE2fpHICIiIqpyeKtAIiIiIiIr8HjpLfOmlUGPpBPflOj2VZqts5AVeckaEYmIqgxRl4nc+EfQPb6N3PhHZk2rJ3SaCMRseRe5yVqTup2bL/xGLoNSXdcWcYmIiIiqNDauiIiIiIgsSoBn94lwff4Vk6po0CNu34dIOb0Dj7+ahJit7yH95kmIBr3pOH0u0m+eQMzW9/D4q8ncaUVEZGO5CVGI2fIucuIfmtTlTu5Qj1gCVY0giZIRERERVQ28VSARERERkcUI8OwxES4te5tURYMecXs/QMbNE8ZaSW5fRUREtqVPjUPMlpnwHRwKVfUGxrpM5Qj10AWI/WEZMv86I2FCIiIiosqLO66IiIiIiCxCgGfPtwtoWq0waVqZnC/m7auIiMi2DJkp0Hw7G5mRl03qgp0SPgNC4NS0q0TJiIiIiCo3Nq6IiIiIiMpMgGevyXBp8bJJVTToERe+HBk3T0qUi4iIykLUZUL7XSgybv1mUhdkcnj3mQaX1v0lSkZERERUebFxRURERERUJgK8Xn4HLs17mlRFfS7ifliGjFunJMpFREQWoc9B7A9LkXr5oNkpz27j4d5ptAShiIiIiCovNq6IiIiIiEpLkMGr9//BuVkPk7Koz0XsD8uQcfu3Ai4kIqIKRTQg4afPkXxml9kpt/bD4dnjbUDgWyxERERElsBXVUREREREpSHI4PXyFDgHdTcpi/ocxH6/BJl3TksUjIiIrCXp1w1IPLrBrO7Ssje8+04HZHYSpCIiIiKqXKps48rHxwd9+vTBggULcODAAcTGxkIURYiiiA0bzF+E5mfMmDHGa4o6xowZY5Hcnp6eCA0NxaVLl5CUlITk5GRcunQJoaGh8PT0tMgaRERERFQEQQav3v+Bc1A3k7Koz0HsniXI/OuMRMGIiMjaUv7YhfgfP4No0JvUnZ57Ab6D50FQqCRKRkRERFQ5VNmPAmm1WqkjlFjr1q3xww8/oHr16ib15s2bo3nz5hg3bhz69++P8+fPS5SQiIiIqAoQZPDuMw1OTbqYlMXcHMR+/z4yI85Kk4uIiGwm7cohGLLS4N13BgQ7hbHuULsV1MMWQ/tdKAxZaRImJCIiIqq4qmzj6mkPHjzAjRs30LNnz6IHF6BHjx6Ijo4u8PyjR49KPTcAVK9eHXv37oWfnx9ycnLw0UcfYd++fQCAV155BdOmTYO/vz/27duH559/vtAsRERERFRKggzer0yDU+MuJmUxNwfaPYuRdfecNLmIiMjmMm7/Bu13ofAZOAcypYOxrvJvBPXIpdDumAd9WoKECYmIiIgqpirbuFqwYAHOnj2Ls2fPQqvVIjAwEJGRkaWe7/bt27h//77lAj5j8eLF8PPzAwCMHDkS3333nfHcyZMnce7cOezcuRN+fn4ICwvDG2+8YbUsRERERFWSIIN33+lweu4Fk7KYq4N29yJk3bsgUTAiIpJK1v3L0GyfDd8hoZA7uBrrSp9aUI9aDu23c5Gb9FjChEREREQVT5V9xlVoaCj2799fIW4Z6Ovri9GjRwMAfvrpJ5Om1RPfffcdfvrpJwDAa6+9Bl9fX5tmJCIiIqrUZHJ495vBphUREZnRPb4NzZaZyE2NM6kr3P3gN2o5FD61JUpGREREVDFV2cZVRdKvXz/Y2eVtjtuwYUOB4zZu3AgAsLOzQ79+/WwRjYiIiKjyk8nh3XcGnBp1MikbcrKh3RXGphURESEn/iFiNs9ATkKUSV3u7AG/kUug8m8sUTIiIiKiioeNqwqgU6d/3iQ5duxYgeOePtexY0erZiIiIiKqEmRyePd7F06NTF9bGXKyEbtrIbIiL0oUjIiIyht9SixitryL7Ji/TOoye2f4DlsI+zqtJUpGREREVLGwcWUhGzduRExMDLKzsxEbG4vTp08jLCwM1atXL/Pczz33HAAgKSkJGo2mwHExMTFITk42uYaIiIiISklmB59+M+HUsINJ2ZCTlde0un9ZomBERFReGTKSodkWgqwHV03qMoU9fAfOgVPjLtIEIyIiIqpA7KQOUFl06dLF+LW3tze8vb3Rrl07/Pe//8V//vMfrF27ttRz16hRAwDw6NGjIsc+fPgQbm5uxmtKwt/fv9Dz1apVK/GcRERERBWSzA4+/WfCsUGwSdmQkwXtdwuQ/cwbkkRERE+Iugxod86Hd7934Vi/nbEuyO3g3Xc6ZPbOSL2wT8KEREREROUbG1dlFBERgd27d+P06dN4+PAhAKBOnToYNGgQBg8eDAcHB6xZswaiKGLdunWlWsPFxQUAkJaWVuTY9PR0AICzs3OJ1ylOY4yIiIio0pPbwaf/e3Cs/y+TskH3d9PqIZtWRERUODFXh9g978Pr5SlwDupmcs6z+1uQ2Tsj+bftEqUjIiIiKt/YuCqDPXv2YNOmTWb1c+fOYceOHejTpw92794NpVKJjz/+GOHh4YXe6q8g9vb2AACdTlfk2OzsbACAg4NDidchIiIiqvLkdvD5dwgc67U1KRt0mdDuDEX2oz8lCkZERBWOaED8gU9gyEqFa5t/m5xy7zQaMgdXJB5ZB0CUJh8RERFROcVnXJVBSkpKoef379+PBQsWAACcnJzwxhtvlGqdrKwsAIBSqSxyrEqlAgBkZmaWeJ2AgIBCjzZt2pR4TiIiIqIKQ66Az4DZbFoREZEFiUj85UskHf/G7Ixr637wemUaIJNLkIuIiIio/GLjysrWrVsHg8EAAOjcuXOp5khNTQVQvNv/OTk5ASjebQWfFRUVVejx+PHjEs9JREREVCHIFfAdMBuOdU0/qGPIzoB2x3w2rYiIqEyST3+L+INfQBQNJnXnJi/CZ8BsCHYqiZIRERERlT9sXFlZbGws4uLiAAD+/v6lmuPJs6cCAgKKHFujRg0AMD5vi4iIiIiKIFfAd+AcONRtbVI2ZGdAu3MesqOuSxSMiIgqk7RLPyJu7wcQ9bkmdcd6beE7dCEElZNEyYiIiIjKFzaubEAQhDJdf/163psl7u7uUKvVBY7z8/ODm5sbAODGjRtlWpOIiIioKhDslPAdNBcOdZ43qRuyM6DZMQ/ZUTclSkZERJVRxo3j0O5aCIMuy6RuX6MJ/EYsgczRXaJkREREROUHG1dW5uPjAy8vLwBAdHR0qeY4efKk8evCbjf49LlTp06Vai0iIiKiqkKwU8Fn0Fw41G5lUjdkp0OzYy500WxaERGR5WXduwDtjjnQZ5ne4l+prgO/Ucshd/WVKBkRERFR+cDGlZVNmDABMlneP+Zjx46Vao7w8HDo9XoAwNixYwsc9/rrrwMA9Ho9wsPDS7UWERERUVWQ17SaB4daLU3qhqw0aL6dC130LYmSEdGzli1bBlEUjUdRzw6uVasWPvroI1y9ehUpKSlIS0vDrVu3sHLlSjRu3NhGqYkKlx11E5otM5GblmBSV3hWh9/oFVB4B0qUjIiIiEh6bFyVUmBgIFq0aFHomD59+mDu3LkAgMzMTGzYsCHfcUePHjX+ERYYaP7iVKPRYMuWLQCAXr16YdCgQWZjBg8ejF69egEAvvnmG2g0mhL9PERERERVhaBQwXfwPDjUam5S12elQfPtHOge35YoGRE9q1mzZpg6dWqxx48fPx43b97E1KlT0bRpU7i4uMDJyQkNGjTApEmTcOHCBbz11ltWTExUfDlx96HZPAM5iY9N6nYuXlCPXApl9YYSJSMiIiKSlp3UAaTSoUMH1KtXz/i9t7e38et69ephzJgxJuM3bdpk8n2tWrXw66+/4rfffsPevXtx6dIlaLVaCIKAOnXqYPDgwRg8eLBxt9X06dNLfatAAJg9ezZ69eoFX19fbNu2DR9++CH27dsHAHjllVfw3//+FwCg1WoxZ86cUq9DREREVJnlNa1CYV8zyKSuz0yF9ts50GkiJEpGRM8SBAHr1q2DQqGARqMp9Hm/ADBs2DCsXbsWAJCUlIQPP/wQv/zyC7Kzs9GyZUu8++67qF+/Pr744gvExsZi165dtvgxiAqVm6yBZsu78B26EErf2sa63MEF6mGLEbtnMbIiL0qYkIiIiEgaYlU8NmzYIJbEs9d37ty5WNelpaWJ48ePLzTL0aNHjeMDAwMLHNe2bVsxOjq6wLWio6PFtm3bWu2fmb+/v3Etf39/yf8d8uDBgwcPHjx4lOQQFPaiesQSMXDmPpMj4P+2iUp1Xcnz8Sh/B1//SntMmTJFFEVRvH79urh48WLjv4vOnTubjXVwcBBjYmJEURTFlJQUsUmTJmZjXFxcxMuXLxv/dnJ0dOTvDI9yc8hUTqJ61DKz/0fVnL5HdGzUUfJ8PHjw4MGDBw8eBR3WeA3MWwWW0vnz5zFq1CisXLkSv//+O+7fv4/09HRkZ2cjJiYGR44cQUhICGrXro1169ZZZM0//vgDQUFBCAsLw9WrV5GamorU1FRcuXIFYWFhaNq0Kf744w+LrEVERERUmQhKB/gOWZDPTqsUaLbP5k4ronImICAAYWFhAICJEydCp9MVOv7ll1827sj69NNP8eeff5qNSU1NxbRp0wAA1apVMz4jmKg8MGSnQ/vtPGRGnDOpC3IFvPu9C+fmvSRKRkRERGR7VfZWgWPHjsXYsWNLfX1aWhq2bt2KrVu3ljnLiy++WOyx8fHxmDdvHubNm1fmdYmIiIiqgrymVSjsA5qY1PUZydBsn4Oc2HsSJSOigqxatQouLi7YuHEjjh07hi5duhQ6vk2bNsavf/zxxwLH/frrr8jMzISDgwMGDx6MVatWWSoyUZmJudnQ7g6Dd++pcGrSxVgXBBm8ek2GzMEFKb/vlC4gERERkY1wxxURERERVVrGnVb5Nq1ms2lFVA4NGTIEffv2RXx8PGbMmFGsazw9PY1fazSaAsfp9XokJCQAANq3bw+5XF62sESWZtAjbt+HSDm/z+yUR+cxcH/x/0kQioiIiMi22LgiIiIiokpJUDpCPTQM9gGNTer6jGRotoUgJzZSmmBEVCA3Nzd8+umnAICZM2ciLi6uWNelp6ebzFEYV1dXAIBKpUK9evVKmZTImkQk/vw/JJ00v8OLW9uB8Oo9BRD4dg4RERFVXlX2VoFEREREVHkJSkeohy2Eqnojk7o+PSlvp1XcfYmSEVFhli9fjmrVquHUqVNYv359sa+7ceOG8evOnTvjwoUL+Y5r2bIlXFxcjN/XrFkTt27dKvY6/v7+hZ6vVq1aseciKkryqa0wZKXC86U3TerOQd0hUzkjNnw5oM+RKB0RERGR9bBxRURERESViqBygnroQqiqNzSp69MT/25aPZAoGREVpkOHDhg3bhxycnLw1ltvlejaAwcOQKfTQalUYtq0afj6668RHx9vMkYQBCxevNik9nQTqzgePXpUovFEZZV6fi8Mmanw6jMVguyfW1s6NgiGesgCaHeHQdRlSpiQiIiIyPK4t5yIiIiIKg2ZygnqYWHmTau0xLzbA7JpRVQuKRQKrF27FjKZDB9//DGuXbtWouujoqKwevVqAEBAQABOnTqFfv36wcXFBSqVCv/6179w4MABvPzyy8jOzjZe5+DgYNGfg8ga0q//itjdi2DIyTap2wc2g3r4+5A5uEqUjIiIiMg6uOOKiIiIiCoFmcoJvsMWQVWtvkk9Ny0Bmm0hyE3gTgmi8iokJASNGzfG/fv3sWDBglLNMWPGDNSuXRv9+vVDw4YN8cMPP5iNiYiIwO7duzFjxgwAQGpqaonWCAgIKPR8tWrVcPbs2RLNSVQcmRFnod0xD76D50GmcjLWVdXqw2/UMmi+nQd9aqyECYmIiIgshzuuiIiIiKjCk9k7w3f4YvOmVWo8NNveY9OKqBxr2LAh3nvvPQDAO++8g4yMjFLNk5OTg/79++P111/HuXPnoNfrjecSExPx2WefoVWrVhAEwaReElFRUYUejx8/LlV2ouLIfvQnYrbOgj7d9PdW4VUDfqOXw86z8MYqERERUUXBHVdEREREVKHJ7F2gHr4ISnVdk7qxaZUYLVEyIiqOqVOnQqVSISIiAo6Ojhg2bJjZmKZNmxq/7tq1K/z8/AAAe/fuNWt0bdq0CZs2bYKTkxPUajV0Oh2io6NhMBgAAM2aNTOOvX79ujV+JCKrydHeQ8yWmVAPC4Odm9pYt3P1gd+oZdDunA9dzF8SJiQiIiIqOzauiIiIiKjCkjm4Qj1sEZTqOib13NS4vNsDsmlFVO6pVCoAQN26dbF9+/Yix8+bN8/4da1atXD//v18x6Wnp+Pu3bsmNYVCgbZt2wLIu21gfHx8aWMTSSY3MRoxm9+F79CFUPoEGutyRzeoh7+P2N2LkPXgioQJiYiIiMqGtwokIiIiogpJ5uAK9fDF5k2rlFhotnKnFRGZ6927N9zd3QEAO3bskDgNUenp0+Kh2ToT2dE3TeoylSN8hyyAQ/1giZIRERERlR0bV0RERERU4cgc3aAe8T6UvrVN6rkp2rzbAybxOTNEFcXYsWMhCEKhR2hoqHF8ly5djPWCdlvlRy6XY8GCBQAAnU6HdevWWfpHIbIpQ1YaNNvnIPPeBZO6YKeAz79nwSmou0TJiIiIiMqGjSsiIiIiqlBkf98KSelTy6Sem6zN22mVFCNNMCKSlJeXFxwcHPI9p1Ao8NVXX6F58+YAgGXLluHevXu2jEdkFWJOFrS7FiL95gmTuiCTw7v3FLi2HSBRMiIiIqLS4zOuiIiIiKjCkDm6Qz1iMZTegSb13GRN3jOtkjUSJSMiqXXp0gXr1q3Dli1b8PPPP+PBgwdwdHREy5Yt8dZbb6FJkyYAgIMHDyIsLEzitEQWpM9FXPgKGLLS4NLiZZNTHi++AZm9K5KOb5IoHBEREVHJsXFFRERERBWCzMk9b6eVd02Tem5SDGK2hUCfopUoGRGVFx4eHpg8eTImT56c7/kNGzZg4sSJyMnJsXEyIisTDUg4+AUMmalwCx5qcsoteAhkDi5IOLQKEA0SBSQiIiIqPkkbV15eXvD394ePjw+8vLyQmZmJ2NhYxMbG4u7duxBFUcp4RERERFROyJ08oB7xPhReNUzqOUkx0Gx7D/qUWImSEVF5ceLECUyfPh1du3ZFo0aNoFarYTAYEB0djaNHj2Ljxo04c+aM1DGJrCrp+NfQZ6bCs+sbJnWXFr0gs3dG3L4PAH2uyTlB6QA7F28ISgeIukzkpsZB1GXaMjYRERGRCQGAzbpDzs7O6N+/P7p06YJOnTqhXr16BY5NT0/H77//jhMnTmD//v24ePGirWJSAfz9/fHo0SMAQEBAAKKioiRORERERFWB3NkT6uHvQ+EVYFLPSXwMzbYQ6FPZtCLr4OtfKin+zlB54RT0Erx6vQNBJjepZ967gNg970PMyYKqZhBcWr0Cx/rtTMaJBj0ybp9G6sX9yH5w1dbRiYiIqIKxxmtgmzSuWrVqhSlTpmDQoEGwt7fPW1gQirzu6R1Xt27dwhdffIGNGzciIyPDalmpYPwjjIiIiGxN7uyVt9PK09+knpMY/XfTKk6iZFQV8PUvlRR/Z6g8cajfDj79ZkKwU5jUdbGREAQ5FN41Crjy6bH3Eb//I+g0EdaKSURERBVchWtctWrVCosWLUKPHj3yFvu7WfX48WOcPXsW58+fh1arRUJCAhITE+Hg4ABPT094eHigQYMGaNOmDZo1awaFIu9FliiKSEhIwIoVK/Dpp59Cp9NZKzrlg3+EERERkS3JXbygHr4ECs/qJvWchGhotr8HfWq8RMmoquDrXyop/s5QeaOqGQTfgXMhUzmWeg6DLhOxexYjK/KSBZMRERFRZWGN18BWe8bVV199hVdffRUymQwAcOHCBWzZsgW7du3Cw4cPiz2PQqHACy+8gJEjR2LAgAHw8vLCkiVLMHHiRLz66qs4deqUtX4EIiIiIpKI3MU7b6eVx7NNq6i8nVZpbFoREREVJfvBVWi2h8B3yALIHd1KNYdM6QCfAbOh2TqLO6+IiIjIJmTWmnjMmDHIzc3FunXr0KhRI7Rp0waffPJJiZpWAJCTk4MjR47gjTfegJ+fH1577TXcunULgYGB6Nq1q5XSExEREZFU5C4+UI9YYt60in8Ezbb32LQiIiIqAV3MX4jZMhOiPrfUc8iUDvDqM9WCqYiIiIgKZrXG1erVq1GvXj289dZbuHPnjkXm1Ol02LJlC5o0aYLhw4dbbF4iIiIiKh/krj5Qj1wChUc1k3pO/MO/m1YJEiUjIiKquOTOHhDkZbvpjtKnFlQ1giyUiIiIiKhgVrtV4OTJk601NQBg586dVp2fiIiIiGxL7uoLvxHvw87dz6SeE/8QMdvegyE9SaJkREREFZtLyz6WmadVb2Q/vGqRuYiIiIgKYrUdV0RERERExWXnpobfyCVmTStd3H3EbGXTioiIqLQEpQMcGwRbZC7HBu0hKB0sMhcRERFRQWzeuIqIiEBERAQmTZpk66WJiIiISCKC0gEKrxpQVmsAhVcNkze97NzUUI9YAjs3tck1utj70GwLgSGDTSsiIqLSsnPxhiCTW2QuQSaH3MXLInMRERERFcRqtwosSEBAAORyOS5dumTrpYmIiIjIxlQ1g+DS6hU41m9n8qaZaNAj4/ZpZNw5DY/OY2Dn6mtynU57D5rts2HITLF1ZCIiokrF0jukZEpHi85HRERE9CybN65iYmLg7++PzMxMWy9NRERERDaiVNeFV59pUPoE5ntekMnh1KgjnBp1NDvHphUREZHliDrLvv9i0GVYdD4iIiKiZ9n8VoFnzpwBADRp0sTWSxMRERGRDdjXagH1yKUFNq0Ko9PcZdOKiIjIgnJT4yAa9BaZS9TnQp8ab5G5iIiIiApi88bV6tWrIQgCpk6dCjs7m2/4IiIiIiIrUqrrwmfAbMhKcVsi0WBAwpF1bFoRERFZkKjLRMbt0xaZK+POaYvv4CIiIiJ6ls0bV0ePHsWSJUvQvHlz7Nu3DwEBAbaOQERERERW4tVnWqmaVgAgyGTw7P6mhRMRERFR6sX9lpnnwgGLzENERERUGJtveZo7dy6ys7Nx5coVdO/eHXfv3sWpU6dw5coVJCYmQq8vfPt6WFiYjZISERERUUmoagaV6vaAT1P61IKqRhCyH161UCoiIiLKfnAVutj7Zfr/tKjPhSEz2YKpiIiIiPJn88ZVaGgoRFEEAIiiCLlcjk6dOqFTp07Fup6NKyIiIqLyyaVlH8vM06o3G1dEREQWFr//I6hHLi39zmi5HdSjliP2uwXIjrph4XRERERE/7D5rQIBQBAE4/Hs90UdRERERFT+CEoHODYItshcjg3aQyjlm2pERESUP50mArF7FsNQhmdUye2d4TtsERzqtrVgMiIiIiJTNm9cyeXyMh1EREREVP7YuXhDkFnmtZogk0Pu4mWRuYiIiOgfWZGXoNk6C7rY+8Uar4t7gGzNXZOaTKGCz8DZcArqbo2IRERERLa/VSARERERVT6W3iElUzpadD4iIiLKo9NE4PFXk6CqEQSXVn3g2CDY5MMnoj4XGXdOI/XCAWQ/vArBTgXv/jPhWO+fXVaCTA7v3lMgd3JHyu87pfgxiIiIqBKBTL/vAAAgAElEQVRj44qIiIiIykwsw22H8mPQZVh0PiIiIjKV/fBqXmNK6QC5ixdkSkcYdBnQp8ab/H9dzM1G7O5F8Oo1Gc7NepjM4dF5DOROHkg8sg6AaOOfgIiIiCorNq6IiIiIqMxyU+MgGvQWuV2gqM+FPjXeAqmIiIioKKIuE7nxj4oYZED8j59Bn54Et+ChJqdcW/eD3Mkdcfs/AvS5VkxKREREVYXNn3H1NA8PD0ybNg0HDhzAgwcPkJaWhrS0NDx48AAHDhzAtGnT4OHhIWVEIiIiIioGUZeJjNunLTJXxp3TFt/BRURERGWXdPxrJPy8xqzu9NwL8B083+K3DiYiIqKqSbLG1YQJE3D//n0sX74cPXr0gL+/PxwcHODg4AB/f3/06NEDy5cvx/379zF+/HipYhIRERFRMWVFXrTIPKkXDlhkHiIiIrK81PN7ERu+HKI+x6TuUKsl1COWQOboJlEyIiIiqiwkuVXgzJkzsXjxYgiCAABITk7GxYsXERMTA0EQoFar0bJlS7i5ucHJyQmrV6+Gu7s7VqxYIUVcIiIiIiqCUl0X7l3GlnkeXWwksh9etUAiIiIispaMG8ehzUyBz79DIFM5Gusqv3rwG7UC2h1zkZuskTAhERERVWQ233HVpEkThIWFQRAEPH78GKNHj4avry+6deuGUaNGYeTIkejWrRt8fHwwatQoREdHQxAELFq0CI0bN7Z1XCIiIiIqgtKvPnyHL4bc3rlM8xh0mYjf/7GFUhEREZE1ZUVegmZ7CPTpSSZ1hWd1+I3+AArf2hIlIyIioorO5o2ryZMnQy6XIzY2FsHBwdi2bRtyc80f3qnX67F9+3YEBwdDq9VCLpdj8uTJto5LRERERIVQVmsA9bAws6aVaNCXaB6DLhOxexZDp4mwZDwiIiKyIl3MX4jZ8i5ykmJM6nJnD/iNXAZVzSCJkhEREVFFZvPGVdeuXSGKIpYsWYKHDx8WOf7Ro0dYtmwZBEFAt27dbJCQiIiIiIrjSdNK9kzTKjPyImK2zIQu9n6x5tHFRkKzdRayIi9ZIyYRERFZUW5iNDSbZ0CnuWtSl6kcoR6yEI4NO0iUjIiIiCoqmzeu/P39AQC//fZbsa85deoUAKB69epWyUREREREJaOs3gjqYYsgUzmZ1DPvXUDsrjDoom/i8VeTELP1PaTfPGm2A0vU5yL95gnEbH0Pj7+azJ1WREREFZg+PRExW2ch6/4Vk7pgp4B3/5lwbvGyRMmIiIioIrKz9YJ6fd6bFnZ2xV/6yViDwWCVTERERERUfCr/RvAdstDkYewAkHn3PGL3LIaYqzPWsh9eRfbDqxCUDpC7eEGmdIRBlwF9ajxEXaatoxPRU44cOQIA+Oabb7Bx40ZpwxBRhSfqMqDZOR/efafD6aldVoIgg1fPSZA7eyD55FYJExIREVFFYfMdVw8ePACAEt3278nYJ9cSERERkTRU/s8V0LQ6B+3uRSZNq6eJukzkxj+C7vFt5MY/YtOKqBzo1KkTOnfujMjISKmjEFFloc9B3A/LkHrxgNkp9w4j4dlzEiDY/K0oIiIiqmBs/mrh8OHDEAQB06dPR9OmTYscHxQUhBkzZkAURRw6dMgGCYmIiIgoP6qAJvAdat60yog4C+3uxYA+R6JkRFQaWq0WAJCUlCRxEiKqVEQDEg6tQtKJzWanXFq8DJ/+swC5QoJgREREVFHYvHH1ySefIDs7G87Ozjh58iSmT58OLy8vs3FeXl6YMWMGjh8/DmdnZ2RnZ+OTTz6xdVwiIiIiwt9NqyGhkCkdTOoZf/2B2D1sWhFVRJcvXwYANGjQQOIkRFQZJf+2HfE/rTR7zqVjw/ZQD10I4ZnnZBIRERE9IcmtAt98800AgLOzM5YuXYqYmBjcuXMHJ0+exIkTJ3Dnzh3ExMRgyZIlcHV1hSiKePPNN/Hw4UNbxyUiIiKq8lQ1guA7ZIF50+rOGcR+/z6gz5UoGRGVxZdffglBEPDWW29JHYWIKqm0yz8h9oelZrcStq8ZBL+RSyF39pQoGREREZVnktxY+JtvvkG/fv0QHR0NQRAgk8lQp04dtGvXDsHBwahTpw5kMhkEQUB0dDT69u2LzZvNt5gTERERkXXZ12wG3yHzIVPam9Qzbp9G7PdL2LQiqsD27NmDzZs3o3Pnzli/fj0cHR2LvoiIqIQyb5+GZsc8GLLTTepK39rwG70Cdh7VJUpGRERE5ZWdVAsfOHAAtWvXxoABA/DSSy+hadOm8PTM+6RNQkICrl27hp9//hl79uyBXq8vYjYiIiIisjT7wObwGTQXMsUzTatbvyE2fDlgYNOKqCJ79dVXceTIETRr1gxjxoxB//79sXfvXly5cgWJiYlF/h32zTff2CgpEVV02Q+vIWbLLPgOXQC7p3ZZ2bmp4Td6BbQ7Q6GLuSNhQiIiIipPBACi1CGoYvD398ejR48AAAEBAYiKipI4EREREVlLXtNqHmQKlUk9/dYpxIUvBwz8YBFVfpX99a9er4co/vPnoCAIJt8XRhRFKBQKa0WrsCr77wxRWdm5qeE7dCEUnv4mdYMuE7HfL0HWvQsSJSMiIqLSssZrYJvfKnDu3LmYO3cuevToYeuliYiIiKgY7Gu1zL9pdfMkm1ZElYwgCMbj2e+LOoiISio3WYOYzTOQ/fi2SV2mdIDvoHlwatxFmmBERERUrtj8VoGhoaEQRREDBgyw9dJEREREVAT72q3gO3AOBDulST39xnHE7fuQTSuiSqR27dpSRyCiKsiQmQLN9tnw+fd7cKjdylgX5Hbw7jsdMkc3pJ77QcKEREREJDWbN67i4+Ph6emJBw8e2HppIiIiIiqEfZ3n4TtgtnnT6vqxvKaVaJAoGRFZA/8mIyKpiLpMaL9bCO8+/zHbZeXZbTzkTh5IOrZRkmxEREQkPZvfKvCvv/4CAPj5+dl6aSIiIiIqgH2d1vAdkM9Oq+u/smlFRERElmfIRdzeD5Fy9nuzU27tBsOr938AmVyCYERERCQ1mzeuvv32WwiCgKFDh9p6aSIiIiLKh0PdNn/vtFKY1NP+PIq4fR+xaUVERERWIiLxly+R+OsGszPOQS/BZ+AcCM88c5OIiIgqP5s3rlatWoXLly/jtddew2uvvWbr5YmIiIjoKQ5128JnQIh50+raL4jf/zGbVkRVhEwmw8CBA7Fq1SocP34c165dw7Vr13D8+HGsWrUKAwcOhExm8z8fiaiKSDmzC3H7P4b4zLM0Heu2gXrYYsjsXSRKRkRERFKw+TOu/Pz8MG7cOKxfvx5fffUVRo0aha1bt+LKlStITEyEXl/4A78fPnxoo6RERERElZtDvX/B59+zIMifaVpdPYL4Hz9l04qoiujZsyfWrl0Lf39/Y00QBACAKIpo3749JkyYgEePHmHChAk4dOiQVFGJqBJLv3YEhswUePefCZnC3lhX+TeC3+jl0Hw7D/rUWAkTEhERka3YvHEVGRkJURQB5P0x1K1bN3Tr1q1Y14qiCIVCUfRAIiIiIiqUQ/1g+PSfCUFu+nIw7ephxP/4OZtWRFXE6NGjsWHDBgiCYGxWRUZGIiYmBoIgQK1WIzAwEIIgoEaNGti/fz/GjBmDrVu3SpyciCqjzIiz0H47Bz6D5kPu8M8uK4VXDfi9ugLaHfOQE/dAwoRERERkC5Lc6+HpP4qefF3cg4iIiIjKxrFB+/ybVlcOIf7AZ2xaEVURNWvWxNq1ayGTyZCRkYE5c+bAz88PdevWRYcOHdC+fXvUrVsXfn5+mD17NtLS0iCTybBu3TrUqFFD6vhEVEllR92EZsu7yE0x3V1l5+IN9ajlUPk/J1EyIiIishWb77gaO3asrZckIiIior85NuwA737vQpDJTeqplw8i4aeVAERpghGRzU2ZMgUqlQppaWl44YUXcPny5XzHxcXFYenSpThw4ABOnDgBJycnTJkyBdOnT7dxYiKqKnLiHyJm8wz4Dl0IpXdNY11u7wzfYYsQ98MyZEb8IWFCIiIisiabN66+/vprWy+ZLx8fH7Rt2xZt27ZFmzZt0KZNG3h7ewMANm7cWKwGm0qlQs+ePfHSSy+hbdu2qF+/PlxcXJCamopbt27h4MGDWLNmDWJiYsqc9969e6hVq1aR4yIjI1G7du0yr0dERESVj2OjjvDuO8O8aXXpRyQcXAU2rYiqlh49ekAURaxYsaLAptXTrly5gg8++AChoaHo2bMnG1dEZFX61DhotrwLn8HzYf/ULiuZQgWfgbMR/9PnSL/6s4QJiYiIyFps3rgqL7RabZmuDwoKwsmTJ+Hq6mp2ztPTE8HBwQgODsa0adMwbtw47Ny5s0zrEREREZWF43MvwPuV/5o3rS4eQMKh1WDTiqjqqVkzbxfDzz8X/43fw4cPIzQ01HgtEZE1GbLSoN0+B979Z8KxXltjXZDJ4d37P5A7eSDld77fQkREVNnYvHGl1+thMBgQEhKCFStW2Hr5fD148AA3btxAz549i32Nq6ursWl18uRJ7Nu3D+fOnUN8fDx8fHwwcOBAjBs3Dq6urti6dStSU1Px008/lTnr999/jzlz5hR4XqfTlXkNIiIiqlwcn+sM71emmTetLuxDwuH/SZSKiKQml+f9N0Gv1xf7midjZTJJHpdMRFWQmJuN2D2L4dVrMpyDupuc8+g8BnInDyQeWQd+CIeIiKjysHnjSqfTQaFQ4MSJE7Ze2sSCBQtw9uxZnD17FlqtFoGBgYiMjCz29QaDAd9++y0WLFiAGzdumJ0/fPgwfvzxR+zZswd2dnb4/PPPUb9+/TLnTkpKwp9//lnmeYiIiKhqcGrcBV59ppo1rVLO70Xiz2skSkVE5UFUVBTq1q2L9u3b4+zZs8W6pn379gCA6Ohoa0YjIjJl0CP+wKfQpyXBLXiIySnX1v0gd3RD3P6PAUOuRAGJiIjIkmz+Mbknf+CU5FN91hAaGor9+/eX+paBp0+fxvDhw/NtWj0RHh6O3bt3AwDq1auHFi1alGotIiIiotJwavJi/k2rc+FsWhERjh49CkEQMGvWLFSrVq3I8f7+/pg1axZEUcQvv/xig4RERKaSjm9CwpG1ZnWnxp3hO2Q+BKWDBKmIiIjI0mzeuDp+/DgAoFWrVrZeWhJHjx41fl23bl0JkxAREVFV4tS0awFNqx+QmM8bPkRU9Xz++ecwGAzw8fHBmTNnMHjw4HxvASiTyTBkyBCcPn0avr6+MBgMWLlypQSJiYiA1HPhiA1fAVGfY1J3qNUS6uHvQ+boJlEyIiIishSbN64+//xz6PV6TJ8+HS4uLrZe3uZUKpXxa4PBIGESIiIiqiqcmnaDV+//QBBMX+qlnP3+72dAEBEBf/75J+bOnQtBEFC9enVs374dWq0Whw8fxubNm/HNN9/g8OHD0Gq12LZtG/z9/QEAc+fO5e3LiUhSGTeOQfvdQhh0mSZ1VbX68Bu1AnZuaomSERERkSXYvHF14cIFvPPOOwgMDMSxY8cQHBxs6wg21blzZ+PXN2/eLPN8L7zwAi5fvoy0tDSkp6fj7t272L59O/r371/muYmIiKjicwrqDq/eU8yaVsl/7EbiL19KlIqIyqulS5di8uTJyMzMhCAI8PDwwIsvvojhw4djxIgRePHFF+Hh4QFBEJCRkYFJkyZh2bJlUscmIkJW5EVotoVAn5FsUld4Vod69AoofGtLlIyIiIjKys7WC65fvx4AcOvWLTRv3hwnTpzAw4cPceXKFSQmJhb67CtRFDFu3DhbRS2zZs2aoU+fPgCAa9euFfo8rOKqU6eOyfe1a9dG7dq1MWzYMJw8eRLDhg0r9YOSn3yCsiDFue89ERERSce5WQ94vfx/ZvXkM7uQ9OsGCRIRUUWwevVq7NixA2PHjsVLL72Epk2bwtPTEwCQkJCAa9eu4eeff8aGDRsQHx8vcVoion/oYu4gZvMMqIcuhJ27n7Fu5+wJv5FLod21CNkPr0qYkIiIiEpDACDackG9Xg9R/GdJQRAAwKSWH0EQIIoi7Oys02sLDAxEZGQkAGDjxo0YO3ZsmeZTKpU4efIk2rRpAwDo168f9u7dW+r5bt26hRs3buDQoUO4du0akpOT4e7ujuDgYEycOBE1a9YEAFy/fh3BwcFISUkp8RpF/Tt4WkBAAKKiokq8BhEREVmHc/Oe8Or1jlk9+fedSDq2SYJERBWfv78/Hj16BICvf6l4+DtDJA25kwd8hy6E8pldVmJuDuL2fYCMW6ckSkZERFT5WeM1sM13XD148KBEDZKKauXKlcam1caNG8vUtAKAtm3bIjk52ax+7NgxrFy5Et999x169uyJxo0bY/78+fjvf/9bpvWIiIio4nBu8TK8ek4yqyef3oGk419LkIiIKoJXX30VQN6H5P744w+J0xARlZ4+PRExW2bCd9Bc2NcMMtYFOwW8+89EwqHVSLv0o4QJiYiIqCRs3riqXbvy32N41qxZGD9+PADg3LlzmDTJ/I2kksqvafVEWloahg4dioiICHh7e2PChAmYNWsWcnJySrRGQEBAoeerVauGs2fPlmhOIiIisi7nlr3h1eNts3ryb9uRdGKzBImIqKLYuHEjRFHEiBEj2LgiogpP1GVAs2MevPtOh1PDDsa6IMjg1XMS5E4eSD61VcKEREREVFyyoodQSUyYMAFLliwBANy8eRMvv/wyMjIyrL5uSkoKtm/fDgBwdnZG69atSzxHVFRUocfjx48tHZuIiIjKwKXVK/k2rZJObWXTioiK9OTDcXfu3JE4SeGWLVsGURSNR+fOnQsdX7NmTSxZsgTnzp1DYmIidDod4uPjcerUKcyZMwfe3t42Sk5ENqfPQdwPy5B60Xx3lXvHkfDsMQkQ+FYYERFRecf/W1vQ8OHDsWrVKgBAZGQkXnrpJcTFxdls/evXrxu/9vf3t9m6REREZHsuz/eFZ/e3zOpJJ7cg+SQ/TUxERbt37x4AwMPDQ+IkBWvWrBmmTp1a7PEjRozA9evXMWvWLDz//PNwd3eHQqGAp6cn2rdvj7CwMNy4cQMvvviiFVMTkaREAxIOfYGkfF4PubR8Gd79ZwJyhQTBiIiIqLjKTePK09MTAQEBkMnKTaQS6du3L77++mvI5XJER0ejW7duNn8QryAINl2PiIiIpOHSuh88X3rTrJ50YjOST22TIBERVUR79uyBIAjo27ev1FHyJQgC1q1bB4VCAY1GU+T4du3a4euvv4aTkxP0ej2++uor9O/fH23atMGgQYMQHh4OAPD29kZ4eDgCAwOt/SMQkYSST21F/MEvIIoGk7pTww5QD10IQeUkUTIiIiIqimRdIplMhtdffx3Hjh1DRkYGtFot7t27h4YNG5qM69OnD5YtW4aQkBCJkhata9eu2LFjBxQKBeLi4tC9e3fcvXvX5jkaN25s/Do6Otrm6xMREZH1ubTuD89uE8zqSce/QfJv2yVIREQV1aeffor79+9j4sSJ5XIH0v/93/+hbdu2uHHjBtavX1/k+JCQENjZ5T3G+Z133sEbb7yB8PBwnDt3Drt370b//v3x4YcfAsi7vfq0adOsmp+IpJd26UfEfb8UYq7pM8DtawbBb+RSyJ09JUpGREREhZGkceXj44MTJ07gyy+/RMeOHaFSqSAIQr47hu7du4fp06dj4cKFaN68uQRpCxccHIwffvgB9vb2SE5ORs+ePU1u2Wcrrq6uGDZsGAAgPT0d586ds3kGIiIisi6XNgPg2W28WT3x2CYkn/5WgkREVJGlpqaie/fuuHnzJg4ePIg1a9agc+fO5eLWgQEBAQgLCwMATJw4ETqdrshrOnToAACIi4vD6tWr8x2zcOFC49ft27e3QFIiKu8ybv8GzY55MGSnm9SVvrXhN2o57DyqS5SMiIiICmLzxpUgCAgPD0e7du0giiJ27NiByZMnFzj++vXrOH36NABgwIABtopZLM2bN8f+/fvh7OyMtLQ09O7dGxcuXCjxPEePHjU+aDi/21X07NkT9vb2BV7v7OyMHTt2GB8yvH79+mL9YUdEREQVh2vbgfDs+oZZPfHXjUj5facEiYioosvNzcWtW7cQFBQEuVyON954A0eOHEFsbCxyc3MLPXJycopeoAxWrVoFFxcXbNy4EceOHSvWNUqlEsA/z+7KT0pKCmJjYwEAKpWq7EGJqELIfngVMVtnITctwaRu5+4Hv9EroPSrL1EyIiIiyo+drRd87bXX0LZtW+Tk5KBfv344dOgQAGDlypUFXrN3714EBwejY8eOFsvRoUMH1KtXz/j9k6YPANSrVw9jxowxGb9p0yaT7+vUqYODBw8aP404Z84cJCcno0mTJgWuqdVqjX8klcSsWbOwZcsW7N69GydPnkRERATS0tLg7u6O4OBgTJw4ETVr1gQA3Lx5E6GhoSVeg4iIiMov138NgkeXsWb1xKMbkPLHLgkSEVFl8OwdL8rLM3OHDBmCvn37Ij4+HjNmzCj2dbdv30arVq1Qu3btAse4uLjAx8fHOJ6Iqo4c7T1oNs+A79AwKDz/2WUld3SDesT7iN3zPrIiL5pdJygdYOfiDUHpAFGXidzUOIi6TFtGJyIiqnJs3rgaMWIERFHEmjVrjE2roly8mPfC4dnnX5XFuHHj8Prrr+d7rmPHjmZNsmcbV506dYJarTZ+/8knnxS5ZmhoKBYsWFDysAC8vLwwfvx4jB9vfnugJ44dO4aRI0ciMTGxVGsQERFR+ePabgg8Oo8xqyceXY+UP/ZIkIiIKovS/m1iTW5ubvj0008BADNnzkRcXFyxr12zZg3WrFkDb29vvPnmm1izZo3ZmLlz55qMJ6KqJTdZg5gtM+A7OBSqav/sspIpHeA7eD7i9n+MjBt5uzxVNYPg0uoVONZvB0EmN44VDXpk3D6N1Iv7kf3gqs1/BiIioqrA5o2rFi1aAADCw8OLfY1WqwWQ17ypiqZPn45u3bohODgYDRs2hLe3N9zd3ZGRkYHo6GicOXMG27ZtK3YjkIiIiCoG1+Ch8HjhNbN6wi9fIvXs9xIkIqLK5OnnPZUXy5cvR7Vq1XDq1CmsX7++RNd++eWX6NSpE0aPHo0vvvgCzz//PMLDw/H48WPUrFkTo0ePxsCBAwEAS5cuxeHDh0ucz9/fv9Dz1apVK/GcRGRbhoxkaLaHwGdACBxqtTTWBbkdfPrNQLJfHTjUbg2lj/mjHABAkMnh1KgjnBp1hC72PuL3fwSdJsJW8YmIiKoEAYBoywWzsrJgZ2eHli1b4urVfz6ZotfrIYoigoKCcOPGDZNr2rRpg99//x2ZmZlwdna2ZVx6ir+/Px49egQg72HJUVFREiciIiKqvNzaD4d7p9Fm9YQja5F6rvgfACKi0uPrX9vq0KEDjh8/Dr1ej1atWuHatWvGc/PnzzfeEr1Lly6FPvdqyJAhmDVrFlq1amV27pdffil10woARLH4fz7zd4aonJPZwbvPVDg17lymaQy6TMTuWYysyEsWCkZERFSxWOPvJlmZZyihJ7exK8nuqSe3CCzN86GIiIiIKhq3DiPyb1r9vIZNKyKymIiICERERGDSpElSR4FCocDatWshk8nw8ccfmzStSqJhw4YYOXIkgoKC8j0fHByM1157DX5+fmWJS0SVgSEXcXs/QEoZX1vJlA7wGTAbSnVdCwUjIiIimzeurl+/DgBmz5AqzMiRIyGKIs6fP2+tWERERETlglvHkXDvOMqsnnD4f0g9v1eCRERUWQUEBCAwMBCXLkm/SyAkJASNGzfG/fv3S/3srY4dO+L06dP497//jaioKIwePRpqtRoKhQIBAQF4++23kZmZidGjR+OPP/5Ao0aNSrxGQEBAoUebNm1KlZ2IpCIi8chaJP66sUyzyJQO8Ooz1TKRiIiIyPaNq/DwcAiCgLfffhseHh5Fjn/99dfRs2dPAMCePXwAOREREVVebp1Gw73DSLN6/KFVSL2wT4JERFSZxcTEAAAyMzMlzdGwYUO89957AIB33nkHGRkZJZ5DqVRi27Zt8PDwwOPHj9GuXTts2bIFWq0Wubm5iIqKwurVq9GpUydkZmaiRo0a+Prrr0u8TlRUVKHH48ePSzwnEUkv+/GtMs+h9KkFVY38d3sSERFRydi8cbVmzRpER0fD19cXhw8fRuPGjfMdFxAQgM8++wzr1q2DKIq4c+cOtm7dauO0RERERLbh3ulVuLcfblaPP/gF0i4ekCAREVV2Z86cAQA0adJE0hxTp06FSqVCREQEHB0dMWzYMLOjadOmxvFdu3Y11h0dHQEAvXr1QkBAAADg888/h0ajyXet69evY/PmzQDynqXcrFkzK/90RFQRuLTsY5l5WvW2yDxERERVnZ2tF8zKysKAAQPwyy+/oEWLFrhy5Qpu3frnky3/+9//4OPjgwYNGgAABEFAamoqBg8eXKIH4RIRERFVFO4vjIFb8BCzevxPnyPt8kEJEhFRVbB69WoMGjQIU6dOxbZt25CbmytJDpVKBQCoW7cutm/fXuT4efPmGb+uVasW7t+/j+eee85Yu3DhQqHXnz9/HuPHjwcANGrUCFeuXClNbCKqJASlAxwbBFtkLscG7SEoHSDqpN3JSkREVNHZfMcVAJw7dw7t27fHtWvXIAiCyb3FO3TogIYNG0IQBAiCgBs3bqBDhw74888/pYhKREREZFXunV/Pv2n142dsWhGRVR09ehRLlixB8+bNsW/fPuOOpYro6aabnV3hn89UKBT5XkdEVZOdizcEmdwicwkyOeQuXhaZi4iIqCqz+Y6rJ65du4YWLVqgd+/e6N+/P1q3bg1fX1/I5XLEx8fj4sWLCA8Px65du7jTioiIiCol9y5j4favQSY1UTQg/sfPkX71sESpiKiqmDt3LrKzs3HlyhV0794dd+/exalTp3DlyhUkJiZCr9cXen1YWJhFcowdOxZjx44tdAGswXAAACAASURBVMz8+fMRGhoKAOjSpQuOHTtmcv7evXvGrzt16oT9+/cXOFfnzp3zvY6IqiZB6WDR+WRKR4vOR0REVBVJ1rh64sCBAzhwgM9tICIioqrF48U34Np2gEktr2n1GdKv/ixRKiKqSkJDQ40fEhRFEXK5HJ06dUKnTp2Kdb2lGleWcOTIEaSnp8PJyQkTJ07E5s2bce3aNbNxvXr1woABef/tffToES5dumTrqERUzlj6tn4GXYZF5yMiIqqKJLlVIBEREVFV5tF1XP5NqwOfsGlFRDb15BbtgiCYfV/UUZ4kJydj6dKlAABXV1f89ttvWLx4Mbp06YLmzZujR48e+OKLLxAeHg65PO+WYLNmzeLdPYgIualxEA2F7zAtLlGfC31qvEXmIiIiqsok33H1hEwmg7+/PwDg4cOHEqchIiIisg6PbhPg2rqfSU0UDYjf/zHS/zwqUSoiqoqeNHAqi0WLFsHT0xNTpkyBi4sLQkJCEBISYjZOp9MhJCQEW7ZskSAlEZU3oi4TGbdPw6lRxzLPlXHntMV3cBEREVVF5aZx1ahRI1y9ehUGg8HkYblEREREFYWgdMh7wLfSAaIuM+8TvE+9eeHx0ptwfb6vyTWiQZ/XtLr+q43TEhFVPtOmTcPmzZsxbtw4dOzYEYGBgXB0dERaWhr++usvHDt2DGvWrMGdO3ekjkpE5Ujqxf0WaVylXuCjMIiIiCyh3DSunihvt5wgIiIiKoqqZhBcWr0Cx/rtIMj+2cEgGvTIuH06782Qhh3g0uoVk+tEgx5x+z5Cxo1jto5MRFShLFiwAAsWLCjW2AsXLuDtt9+2ciIiqkyyH1yFLvY+lD6BpZ7DkKtDblK0BVMRERFVXeWucUVERERUUSjVdeHVZ1qBb3IIMjmcGnXM9xO8eU2rD5Fx47i1YxIRERFREeL3fwT1yKWQKR1Kdb3MTgm/0R9Au3M+cuIeWDgdERFR1SKTOgARERFRRWRfqwXUI5eW6pO5okGPuL0fsGlFROVGly5dsGnTJty+fRspKSnIycnBc889ZzKmY8eOmDhxIkaNGiVRSiIi69FpIhC7ZzEMZXhGlZ2rD9SjlkNVo6kFkxEREVU93HH1/9m78+goqvR94E/1lp3s3WEPBBAYAogJAoKyKQhCWAVZVJYfOPgFJ4ooe0BBFHQGRlxwEHBYBYkgAQURiSJbWKOiLAIJkHT2pLN2urt+f2RoaZOQTtJdleX5nJNz2rdu3Xo4hyNJ3rr3EhEREVWSRheCwOHzq/RGriiKyDq6Cfm//eCEZERElePm5oZNmzZhxIgRAP7cul0UxVJjzWYz3n//fYiiiJMnT+Lq1auSZiUicrbCG+eh3/r6fVfU36s4/RagVEPto7PWlK6e0D39BtJi3kX+bz86My4REVGdxRVXRERERJXkP/jlKm8jIwgCPDr0dXAiIqKq2bFjB0aMGAFBEHD69GmsWrWq3LHHjx9HfHw8AGDkyJFSRSQikpRRfw1Jn76I5K1zkffbjxAtZpvrotmEvN9+QPLWubjznxeQ/FkkCm9fshkjqNQIGDoHXmFDpYxORERUZ3DFFREREVEluDQLrdbB3QCgCQyGS9NQFCXGOygVEVHlDRs2DIMHD4Yoipg2bRrWr18PAJg9e3a59+zevRuhoaF47LHH8Pbbb0sVlYhIckWJ8ShKjIegcYPSyx8KjTssxnyYDekQ79lO0FKQg5TtCxAwZDbc23S31gVBAb9+06D0CkDWkQ0ASq9kJSIiorLVmBVXv//+O1q0aIGWLVvKHYWIiIioXF4PDnbMPF0GOWQeIqKqeu655wAAmzdvtjatKnLmzBkAKHX+FRFRXSUaC2BKvwVj0mWY0m/ZNK2sY0xFSP3yLRjOxpS65t11BAKGzAaUfHeciIjIXjXmX02z2YyEhAS5YxARERGVS9C42bxJWx3ubXpA0LiV+csPIiIphIeHQxRF7Nixw+57kpKSAACBgYHOikVEVDuJFmQc+hAmQxp8H3vO5pJH+8eg9PBFSvQyiEV5MgUkIiKqPWrMiisiIiKimk7lFQBBoXTIXIJCCaWXv0PmIiKqCn//kv8H3b59u9L3KhT8UZKIqCw5J3YiLeY9iGaTTd21eUcEjX+b3/8RERHZgT9tEBEREdlJ0Lg5dD6Fxt2h8xERVYbBYAAANGjQwO57QkJCAADp6elOyUREVBfk/fwdUnYtgaUo36auCQxG0IRVUAc0kykZERFR7eC0xpXJZHL4V3FxsbPiEhEREVXI0dv6WYz5FQ8iInKSK1euAAC6du1q9z0jR44EAFy4cMEpmYiI6orCG+eg3zYX5txMm7qqQSB049+BS9MOMiUjIiKq+ZzWuBIEwSlfRERERHIxGdIgWswOmUs0m2A2cMUCEcln//79EAQBM2bMgIuLS4XjBwwYgJEjR0IURezbt0+ChEREtZtRfw3Jm2ejOP2WTV3p6gnd02/AvW1PmZIRERHVbCpnTbxkyZL7Xh88eDDCwsIAAL/88gtOnToFvV4PQRCg1WoRHh6ODh06QBRFxMXFYf/+/c6KSkRERGQX0ViA/MvH4eGAXzLkXznu8BVcRESV8f777+Pll19GcHAwdu/ejYkTJyIjI6PUOBcXF7z44ot44403oFAokJSUhA0bNsiQmIio9jFl65G8ZQ4CRy6Ea+N21rqgUiNg6BxkevrBELdXxoREREQ1j9MaV0uXLi332oIFCxAWFoYLFy5g2rRpiIuLK3PcQw89hHXr1iEsLAz79u3Dm2++6ay4RERERHYxnP/aIY0rw1m+lENE8srOzsaECROwZ88eDBgwAAkJCTh69Kj1+sKFC+Hj44NHHnkEHh4eEAQBxcXFGD9+PIqKimRMTkRUu1gKcpCyfQEChsyGe5vu1rogKODXbxqUXgHIOrIBgChfSCIiohrEaVsFlqdv375YsmQJLl++jJ49e5bbtAKAM2fOoFevXrh69SqioqLQr18/CZMSERER/YVChQYPDqr2NMbUGyhKjHdAICKi6jlw4AAGDRqE1NRUuLm5YeDAgRDFkl+cPv3003jiiSfg6ekJQRCQlpaGQYMG2TS3iIjIPqKpCKlfvgXD2ZhS17y7jkDAkNmA0mnvlxMREdUqkjeuZs2aBVEUsWLFCuTnV3wgeX5+PlasWAFBEDBz5kwJEhIRERGVQaFCYMRrcH+gR7WmsRgLkB7zTweFIiKqvm+//RYtW7bEzJkz8e233yI7O9t6xnBBQQGOHTuG1157DSEhIfjuu+/kjktEVHuJFmQc+hCZRzeVuuTR/jHoRi+F4OIhQzAiIqKaRfJXOe6ea3Xx4kW777lw4QIAIDw83CmZiIiIiO5LoULgsNfh3rqbTVkURQiCYPc0FmMBUqOXwai/5uiERETVUlBQgA8++AAffPABAECpVEKpVMJoNMqcjIio7sk5sRPm3HT4D5wF4Z5VVq7NOyJo/NtI2bkYZkO6jAmJiIjkJfmKKz8/PwCAt7e33fc0aNAAAODr6+uUTERERETlUqoQOHxeqaaVxViA9ANrYEy9adc0xtQb0G99HYU3zjsjJRGRQ5nNZjatiIicKO/n75CyawksRba7EWkCgxE0YRXUAc1kSkZERCQ/yRtXd+7cAQCMHDnS7ntGjRoFAEhKSnJKJiIiIqIyKdUIHD4f7q262pQtxgKk7IxCXvwhJH36IpK3zkXebz9CtJhtxolmE/J++wHJW+ci6dP/40orIiIiIrIqvHEO+m1zYc7NtKmrGgRCN/4duDTtIFMyIiIieUm+VeDXX3+Nv//975g+fTpiY2Oxc+fO+44fOXIkpk+fDlEUsX//folSEhERUb2nVEM7fD7cQsJsypaifKTsjELR7V+ttaLEeBQlxkPQuEHp5Q+Fxh0WYz7MhnSIxgKpkxMRVUv79u0RHx8Pi8UCtVotdxwiojrNqL+G5M2zoR29BGr/Jta60tUTuqffQFrMu8j/7UcZExIREUlP8hVXy5cvR05ODhQKBbZt24bo6GhERESgUaNGUKlUUCqVaNSoESIiIrB7927s2LEDSqUSBoMBb731ltRxiYiIqD5SqqEdsaCcptUim6bVvURjAUzpt2BMugxT+i02rYioVqvMGX5ERFR1pmw9krfMQeHtSzZ1QaVGwNA58AobKlMyIiIieUi+4urOnTuIiIjA3r174eXlhSFDhmDIkCHljhcEAQaDAREREdZtBomIiIicRVBpEDhiAdxadLGpW4ryof98EYx3fpMpGRERERHVVZaCHKRsX4CAIbPh3qa7tS4ICvj1mwalVwCyjmwAIMoXkoiISCKSr7gCgNjYWHTs2BHR0dGwWCwQBKHML4vFgt27d6Njx46IjY2VIyoRERHVI4LKBYEjF5bRtMqD/vOFbFoRERERkdOIpiKkfvkWDGdjSl3z7joCAUNmA0rJ30EnIiKSnGz/2iUkJGDUqFHQ6XTo06cPQkND4evrC0EQkJGRgfj4eBw5cgR6vV6uiERERFSPWJtWwZ1t6pbC3JKVVkmXZUpGRERERPWGaEHGoQ9hMqTB97HnbC55tH8MSg9fpEQvg1iUJ1NAIiIi55P9NQ29Xo/t27dj+/btckchIiKiekpQu0A7chFcm3eyqVsKc6HfsRDG5CsyJSMiIiKi+ijnxE6YczPgP3AmhHtWWbk274ig8W8jZedimA3pMiYkIiJyHlm2CiQiIiKqKUqaVotLNa3MhbnQ71jAphURERERySLv58NI+WIpLMYCm7omMBhBE1ZBHdBMpmRERETOJXvjysXFBT169MCIESMwYcIEeHl5yR2JiIiI6glB7QrtqCi4Nu9oUzcXGJCyfT6MyVdlSkZEJJ/r16+jT58+6Nu3r9xRiIjqvcLrZ6Hf+jrMuZk2dVWDQOjGvwOXph1kSkZEROQ8sjWumjRpgo0bNyIrKwuxsbH4/PPPsXHjRjRp0sRm3OTJk3Hy5EkcPHhQpqRERERUFwlqV2hHR8G1WahN3VyQA/32+TDqr8mUjIhIXgUFBYiNjUVsbKzcUYiICIBRfw3Jm2ejOP2WTV3p6gnd02/AvW1PmZIRERE5hyyNq/DwcJw7dw4TJkyARqOBIAgQBKHMsXv37kXHjh3Rt29fPPHEExInJSIiorpI0LhBO3oJXP/yhurdplVxyh8yJSMiIiIiKs2UrUfyljkouv2bTV1QqREwdA68wobKlIyIiMjxJG9cNWjQAHv27IGfnx+Sk5MxY8YMhIaGljs+LS0NBw4cAAAMHjxYqphERERUR/3ZtPqbTd2cnw39tvkoTrkuUzIiIiIiovJZ/veSVf6VEzZ1QVDAr980+PSZDKDsF8OJiIhqE5XUD5w5cyZ0Oh3S0tLQvXt3JCYmVnjPoUOHEBERga5du0qQkIiIiOoqQeMG7dNL4dq4nU3dnJ9dstIq9YY8wYiInOjaNcdvfSqKIlq1auXweYmI6P5EUxFSo5fD7/EX4PXgIJtr3l1HQOXpj7T9/wTMJpkSEhERVZ/kjashQ4ZAFEW89957djWtAOCXX34BAISEhDgzGhEREdVhgsYduqeXwqVxW5u6OS+rpGmVdlOmZEREzhUcHGzXOFEUAaDUNu5l1e/WiIhIBqIFGQc/gCknFb6PPWdzyaP9Y1B6+CIlehnEojyZAhIREVWP5I2r1q1bA0ClDvrNysoCULLNIBEREVFlCS4eJU2rRg/Y1M15mf9rWiXIlIyIyPk2bdp03+udO3dGp06dIAgCsrKycO7cOej1egiCAK1Wi86dO8PX1xeiKOLChQu4cOGCRMmJiOh+ck7shDk3A/4DZ0JQ/vkrPtfmHRE0bgVSdkbBnJsuY0IiIqKqkbxx5ebmBgDIy7P/rQ9PT08AQGFhoVMyERERUd1V0rR6Ay6N2tjUzbmZ0G+fh+J0+1aAExHVVpMnTy732vPPP49x48bh1q1beOWVVxAdHQ2z2WwzRqFQYMSIEVi5ciXat2+P999/Hxs2bHB2bCIiskPez4dhzstE4LC5UGjcrHWNtgWCJq5Eys4ovqRFRES1jkLqB6ampgIAmjZtavc9Dz30EAAgKSnJKZmIiIioblK4eEA3pnTTypSbgeRtc9m0IqJ67aGHHsLHH3+MtLQ0dOvWDbt27SrVtAIAi8WCXbt2oXv37sjIyMCHH35o/RmNiIjkV3j9LPRbX4c5N9OmrmqghW78O3Bp8jeZkhEREVWN5I2rU6dOAQCefPJJu8YrFApMmzYNoijixx9/dGY0IiIiqkMUrp7Qjl0Gl4Z/aVoZ0qHfNhemjFsyJSMiqhkiIyOhVCqxfPlyu14STE5OxvLly6FWq/Hyyy9LkJCIiOxl1F9D8ubZKE63/R5X6eoJ3Zg34f7AIzIlIyIiqjzJG1fbtm2DIAiYPHkyOnfufN+xgiDgo48+Qvv27QEAmzdvliIiERER1XIKVy/oxi6DS1Arm/qfTavbMiUjIqo5evXqBQA4efKk3fecOHECANCzZ0+nZCIioqozZeuRvGUOim7/ZlMXVGoERLwGr4eGypSMiIiociRvXO3evRs//fQTXFxccPjwYcyYMQOBgYHW66IoQqvVYsKECYiLi8PkyZMhiiK+/vprHD16VOq4REREVMso3BpAN3YZNLoQm7rJkFbStMq8I1MyIqKa5e7PYS4uLnbfc3fsvT/DERFRzWEpyIF++3zkXzlhUxcEBfz6T4NP70kABHnCERER2UnyxhUADBs2DL/99ht8fHywZs0aJCUlQRRFAMDZs2dx584dbNy4EZ06dYIgCPj5558xfvx4OaISERFRLfJn06qlTd2Ukwr9VjatiIjudff8YXu3cQeAQYMGAQDS0tKckomIiKpPNBUhNXo5DOf2l7rm/fBIBAyZDShVMiQjIiKyjyyNq/T0dISFhWHt2rUoKiqCIAjWLxcXF+tnk8mEdevWoUePHsjOzpYjKhEREdUS1qaVtoVN3ZSTUrLSKqvi81uIiOqTI0eOQBAEvPzyy+jRo0eF47t3747IyEiIoojDhw9LkJCIiKpMtCDj4AfIPLqp1CWP9o9BN3oJBI27DMGIiIgqJgAQ5Qzg5+eHAQMGICwsDFqtFkqlEunp6Th37hwOHDhg1yHBJI3GjRvj1q2SQz6bNGmC27d5PggREdUMCnfvkqZVYLBN3ZT9v6ZVtl6eYERUq9X173/btm2Lc+fOQa1Wo7i4GB999BE2btyIixcvWnfEAIBOnTrhueeew9///ndoNBoUFRXhwQcfxO+//y5j+pqprv+dIaLayaNDP/gPnAnhL6usjCnXkbIzCubcdJmSERFRXeCM74Flb1xR7cEfwoiIqCZSuPtA98wyaAKa29RN2Xrot81j04qIqqw+fP87ZswYfPbZZ1CpVNZmldFoREZGBkRRhL+/PzQaDQBYd8V49tlnsWPHDjlj11j14e8MEdVOri26IHDYXCg0bjZ1U04KUnZGoTgtQaZkRERU2znje2DJtwpcv3491q9fj1GjRkn9aCIiIqpjFB4+0D2zvMymVfJWrrQiIqrIjh070KtXL5w9e9Zm+/aGDRuiUaNGNlu5nz17Fj179mTTioioFiq8fhb6ra/DnJtpU1c10EI3/h24NPmbTMmIiIhKk/wkxueeew4A+MMOERERVYvSwxe6Z5ZD7d/Upm7KSkbytrkw56TKlIyIqHY5deoUwsPDERYWhv79+yM0NBS+vr4QBAEZGRmIj4/Ht99+i7i4OLmjEhFRNRj115C8eTa0o5dA7d/EWle6ekI35k2k7VuF/N+PyZiQiIiohOSNq9TUVAQGBkKv5xvQREREVDXlNa2Ks5Kh3zoXZgObVkRElRUXF8fmFBFRHWfK1iN5yxxoRy6CS+O21rqgUiMg4jVkHv4PDGf2ypiQiIhIhq0Cf/31VwBA8+bNKxhJREREVJrS0w+6Z94q3bTKTCrZ/oRNKyIiIiKiclkKcqDfPh/5V07Y1AVBAb/+0+DTexIAQZ5wREREkKFxtXnzZgiCYN0ykIiIiMheSk///zWtmtjUizPuQL/tdZgNaTIlIyKqGxo1aoQuXbqgZ8+ecHV1lTsOERE5iWgqQmr0chjO7S91zfvhkQgYMhtQSr5RExEREQAZGlcbNmzA4cOHERERgUWLFkn9eCIiIqqllF7/a1r5NbapF2fchn7bXJgN6TIlIyKq3Tw9PREVFYWEhAQkJCTg1KlT+P7779GiRQubcWPGjMGOHTuwbt06mZISEZFDiRZkHPwAmUc3lbrk0f4x6EYvgaBxlyEYERHVd5K/OtGrVy+sWrUKgYGBWLRoEcaOHYsdO3bg4sWLyMzMhNlsvu/9P/zwg0RJiYiIqKZQegWUnGnl28imXpx+C/rt82DOzZApGRFR7RYSEoIDBw6gZcuWEIQ/t4USRbHU2OPHj+O///0vFAoFNm3ahGPHjkkZlYiInCTnxE6YczPgP3AmhHtWWbk274Sg8W8jZWcUzLmlXxITNG5QeQVA0LhBNBbAZEiDaCyQMjoREdVRkjeuvv/+e5sfgtq0aYOFCxfada8oilCr1Q7JERgYiK5du6Jr164IDw9HeHg4AgICAAAbN27EpEmTKjXfgAEDMG3aNHTt2hWBgYFITU3FqVOnsG7dOnzzzTcOyQwAbm5uePHFFzF69Gi0atUKGo0GiYmJiImJwZo1a5CYmOiwZxEREdUESq/A/zWtGtrUi9MTod82D+a8TJmSERHVbhqNBjExMQgJCUFeXh7Wrl2L2NhY7Nu3r8zxCQkJOHLkCPr164ehQ4eycUVEVIfk/XwY5rxMBA6bC4XGzVrXaFsgaOJKpOyMQnFaAgDApVkovLo8BffW3SAolNaxosWM/MvHYTgXg6KEeMn/DEREVHfIslntvW/yySUlJcVhc3300UeYPn26Ta1JkyZo0qQJRowYgY8//hgvvPBCtZ/TsmVLxMTEoG3btjb1du3aoV27dpg6dSrGjRuHAwcOVPtZRERENYGyQWDJ9oA+QTb14vREJG+bC0telkzJiIhqvxdeeAGtW7dGXl4eevXqhQsXLlR4z4EDB9C/f390795dgoRERCSlwutnod/6OrSjoqD09LXWVQ200I1/B5nfrUeD8GHQBDYv835BoYRH257waNsTxtSbSI95D0b9NaniExFRHSJ546pPnz5SP7JCCQkJuHTpEgYMGFDpe998801r0+rs2bN45513cO3aNYSEhGDOnDno0qULpk+fjtTUVLtXlpXFw8MD+/btszat1q1bh+3bt6OgoAB9+vTB3Llz4ePjg507d6J79+6Ij+ebLUREVLspG2gR9MxyqP7StDKm3YR+23xY8tm0IiKqjhEjRkAURaxevdquphUAXLx4EQDQunVrZ0YjIiKZGPXXkLx5NrSjl0Dt38RaV7p6wv/JWXa/jK4JbA7duBVIjV6GwhvnnRWXiIjqKMkbV7GxsVI/skxLlizB6dOncfr0aaSkpKB58+a4ceNGpea425wCgNOnT+PRRx9FYWEhACAuLg579+7F0aNHER4ejtdeew0bNmzAH3/8UaW8s2fPRrt27QAAr776KlatWmW9duLECRw5cgSxsbHw8PDAv/71L/Tr169KzyEiIqoJVN466J5ZDpW3zqZuTL0J/XY2rYiIHKF9+/YAgIMHD9p9T3p6yRknPj4+TslERETyM2XrkbxlDrQjF8Gl8Z+7/lR2ByWFxg2Bw+dDv/V1rrwiIqJKUcgdQC5RUVGIiYmp1paBkZGR1jO3Zs6caW1a3VVQUICZM2cCANRqNf7xj39U6TkqlQovvfQSAODXX3/Fu+++W2rMiRMnsH79egBA37590aVLlyo9i4iISG4lTau3ymha3YB++zw2rYiIHMTLywsAkJ2dbfc9rq6uAIDi4mKnZCIioprBUpAD/fb5yL9yolrzKDRu8B8c6aBURERUX9TbxpUjREREAAAuXbqEkydPljnm5MmT+O233wAAw4YNq9JzevfuDV/fkr2FN23aBFEUyxy3ceNG6+cRI0ZU6VlERERyUvkEQTfuLai8tTZ1Y8p16LfNgyXf/l+uEhHR/d1dPaXT6SoY+afQ0FAAgF6vd0omIiKqOURTEXLOfFXteTSBwXBpGuqAREREVF+wcVVFLVq0QJMmJXv9Hj169L5j715v2rQpgoODK/2sXr16lZqrLHFxccjNzQUA9OzZs9LPISIikpPKpyF041ZA1aCMptX2+bAU5MiUjIiobjp/vuTMkcpsMz558mSIoljui3tERFS3eHV+0jHzdBnkkHmIiKh+kPyMq3u1bNkSQ4cORadOnRAQEAA3N7f77pcriiL69+8vYcLy3T1vCoB1RVV57r3erl27Sp+lZe+zzGYzrl27hk6dOtncQ0REVNOpfBuVbA/o5W9TN+qvQb99ASyFBpmSERHVXbt378aTTz6J6dOn44MPPkBCQsJ9xy9atAgPP/wwRFHEjh07JEpJRERyETRucG/T3SFzubfpAUHjBtFY4JD5iIiobpOlceXm5oa1a9di4sSJpRpVgiCU2grv7pjytsiTQ9OmTa2fb926dd+xiYmJZd5X2Wfl5uZWuP98YmIiOnXqBK1WC41GA6PRaPdzGjdufN/rDRs2tHsuIiIie6n8GkM3dnmpplVR8lWk7FjIphURkZNs3LgRL7/8Mtq2bYujR4/ixRdfxP79+63XRVGEIAh45JFHMGfOHAwaNAiiKOL06dP46qvqbx1FREQ1m8orAIJC6ZC5BIUSSi9/mNLv/zs0IiIiQKbGVXR0NPr37w9BEJCWloZbt26hc+fOEEURP/zwA3x9ffHAAw9ArVZDFEX8/vvvSE5OliNque4eZAzAuj1fefLy8qyfPT09q/ysip5T1rMyMjLsfk5FDTgiIiJHU/k1gW7ssnKaVgtgKaz43z4iIqoai8WCoUOH4tixY2jWrBn27t2L/Px86/WvvvoKOp0O7u7uAEperWRxZQAAIABJREFUKLxz5w5Gjx4tac63334bc+bMsf537969S22h3rx580rvbHHjxg20aNHCERGJiOokQePm0PkUGneHzkdERHWX5GdcjR49Go8//jgAYMmSJQgKCsKzzz5rvd67d2906tQJfn5+iIyMRF5eHvz8/LBw4UL07dtX6rjlcnV1tX6uaFVTUVGR9bObW+X/0b/7LHtWT1X3WURERFJR+TeB7pkyVlolXUHK9vlsWhERSeCPP/5A586dERMTA0EQ4OHhAaCkSdWyZUt4eHhAEAQIgoCDBw8iPDxc0hfeOnbsiMjISKfM/fvvvztlXiKiusLR2/pZjPkVDyIiIoIMK67GjRsHADh+/DiWLl0KoOwtAPPz87FmzRr89NNPOHr0KHbv3o3OnTsjKSlJ0rzlKSwstH7WaDT3Hevi4mL9XFBQ+X/07z6roudU91lNmjS57/WGDRvi9OnTlZqTiIioLGr/ptCNXQ6lp69NvejOZeg/XwixKK+cO4mIyNH0ej2GDh2K9u3bIyIiAmFhYdBqtVAqlUhPT8e5c+ewZ88enDlzRtJcgiDgk08+gVqthl6vh06nK3fs7du30aFDhwrnnDt3LsaPHw8A2LRpk8OyEhHVRSZDGkSL2SHbBYpmE8yGdAekIiKi+kDyxlVYWBhEUcQnn3xi1/i4uDh8+OGHiIyMxKxZszB37lwnJ7SPwfDneRsVbf93961FwL7t/sp7lj3bDFbnWbdv365cMCIioipQBzSDbuwyKD3+2rT6DfodiyDyTUwiIln8+uuv+PXXX+WOYTVr1ix07doVly5dQnR0NObNm1fuWJPJhF9++eW+8ykUCvTu3RsAkJOTgy+//NKRcYmI6hzRWID8y8fh0bZntefKv3Lc4Su4iIio7pJ8q8CAgAAAJVtS3FVcXGz9fO8WfHfFxMQAAJ566iknp7PfvdtjVLRSqWnTptbPiYmJVX6Wp6cnvL297XpWSkqKXVsLEhERSUkd0LxkpdVfm1a32bQiIpLawoULsXDhQjzxxBNyRymlSZMmeOONNwAAf//73x3ys03//v3RuHFjAMCuXbuqtBsGEVF9YzgX45h5zu53yDxERFQ/SN64MplMAGxXLN37OSgoqNQ92dnZAGwbQHK7903Etm3b3nfsvdcvXbrktGcplUqEhIRU+TlERETOpA5oDt0zy6H08LGpF96+VLI9IJtWRESSioqKwuLFi222G68pPvjgA3h5eWHjxo04evSoQ+a892xlbhNIRGSfooR4GFNvVmsOi8kIU1aygxIREVF9IHnj6s6dOwCAwMBAay05Odn6tluXLl1K3dOqVSsAgEol+c6G5bp+/bp1a73HHnvsvmMfffRRACUrp27cuFHpZ/3444/Wz/d7VlhYmHU7wWPHjlX6OURERM6iDmxR0rRyt105XHjrF6R8vojbhhARySA9veSskYSEBJmT2Bo9ejSGDBmC9PR0vPrqqw6Z09PTE8OGDQMA3LhxA7GxsQ6Zl4ioPkiPeQ+Wany/rlBpEPTsu9DoQhyYioiI6jLJG1cXLlwAAISGhtrUT548CQCYMWOGTV2pVCIyMhIAcOXKFQkS2m/Pnj0AgHbt2uHhhx8uc8zDDz+Mdu3a2YyvrO+//x5ZWVkAgOeee67ccc8//7z1c3R0dJWeRURE5GhqbQvoxr5ZummV+AtSdkaxaUVEJJOrV68CKHvXC7l4e3tj9erVAIDXXnsNaWlpDpl31KhR1vOAP/vsM4fMSURUXxj115AavaxazSuVpx9041bAtWWYA5MREVFdJXnj6rvvvoMgCBg4cKBN/dNPP4UgCOjduze+//57zJgxA7Nnz8bJkyfRtWtXiKKIzz//XOq49/Wvf/3Lej7Xv//971Lnc7m6uuLf//43gJJzvP71r3+VOc+GDRsgiiJEUSxzRVVxcTHWrFkDAGjfvj1mz55daky3bt0wZcoUACWNrri4uKr/wYiIiBxErW0J3dhlZTStfkbKzsVsWhERyWjHjh0QBAFPP/203FGs3nnnHTRs2BDHjh3D+vXrHTbvvdsEVqdx1bhx4/t+NWzY0BFxiYhqnMIb56Hf+rrd2wYWp99CcWaSTU2hcYN25EJ4dhpYzl1EREQlJN97Lzo6Gu+//z769OmDFi1a4Pr16wCALVu2YNy4cRg4cCB69uyJnj172tx3/vx5vPfeew7L8cgjj1i3IASAgIAA6+dWrVqVWtlU1h7oV65cwapVqzB37lyEh4fj2LFjePvtt3Ht2jWEhITgtddes259uHLlSusbjVWxcuVKjBkzBg888ABWrlyJVq1aYfv27SgoKECfPn0wb948qNVq5Ofn4x//+EeVn0NEROQoGl0ItGPehNLNy6ZemBCPlF1LIBYXypSMiIiAknOknnvuOTz77LM4evSo7CuRHnnkEUydOhXFxcV44YUXHDZv06ZNrS8IHjt2DNeuXavyXLdu3XJULCKiWseov4akT1+ES9NQeHUZDPc23SEolNbrotmE/CvHYTi7H0WJ8VC4eCBw+Hy4Nu9oHSMolPAf+H9QeeuQFfsZAFGGPwkREdV0kjeu9Ho91Go1BEGAxWKxuTZ8+HAsWLAAU6ZMsW5XkZWVhS1btmD+/PkoKipyWI6pU6fabK13r7IaZ+Ud3jt//nxotVpMmTIFXbp0wY4dO0qN+c9//oMFCxZUK29ubi4GDx6M/fv3o02bNpg+fTqmT59uMyY7Oxvjx4+3bsdIREQkF40uBNqxy6B09bSpF968iJQvlkAsdty/6UREVDVBQUGYOnUq1q9fj08//RTjx4/H1q1bcfHiRWRmZsJsNt/3/sTERIdlUavVWLduHRQKBVatWoWff/7ZYXNPmDABCkXJZiNyN+eIiOqCosR4FCXGQ9C4QenlD4XGHRZjPsyGdJsdFSxFedDvXAT/J1+C59/62Mzh3X00VN5apO3/J2A2Sf1HICKiGk7yxhUA67Z4f2U0GrFo0SIsWrQIvr6+UKlUSE1NlSGh/URRxNSpU/HFF19g2rRpCA8PR0BAANLS0nD69Gl8/PHH+Prrrx3yrGvXruHBBx/Eiy++iNGjR6NVq1bQaDRITEzE/v37sXr16hp3sDIREdU/mqDW0I55o1TTquDGBaR+sRSiiU0rIqKa4MaNG9afywRBQL9+/dCvXz+77hVFEWq12mFZ5s2bh/bt2+PmzZtYsmSJw+YFgIkTJwIACgsLy3zRsDKaNGly3+sNGzbE6dOnq/UMIqLaQjQWwJRewUpUswnp+96FOVsP7x5jbS55tH8MSi9/pO5+E5bCXCcmJSKi2kYA1+SSnRo3bmzdGqNJkya4ffu2zImIiEhqgsYNKq8ACBq3kh9UDWk2b1VqGraB7umlUJRqWp1H6hdvsGlFRLVKXf/+t6IVVfcjiiJUKse8B/nAAw/gwoULcHFxwdChQ/HVV1+VGrN48WJERUUBAHr37o2jR4/aNXd4eDhOnToFAPj8888xZswYh2QuT13/O0NEVB2eHZ+A34AXbbYXBIDi9ESk7IyCKVsvUzIiIqoOZ3wPLMuKKyIiIqpdXJqFwqvLU3Bv3c12H3uLGfmXj8NwLgZicRF0Y96AwsXD5t6C62eRuvtNiCaj1LGJiOg+Jk2aJHcEAEBkZCRcXFxw7do1uLu7l9lc6tChg/Vz3759rVvLf/XVV8jPzy937meffdb6mdsEEhHJK/fiQZgMaQiMeB0KF3drXe3fFEETVyFl11IYk6/ImJCIiGoKrrgiu/HtQSKi+kejC4H/4JehCWxe4VjRYoHwvzNE7mLTiohqM37/K40NGzaUe/5wRYKDg3Hz5s0yr6lUKty5cweBgYHQ6/Vo3LhxtVaZ2YN/Z4iIKqbWtoB2VBRUXv42dUtxIdL2rkTB1ZMyJSMioqqoEyuuDh8+XOV7RVFE//79HZiGiIiIyuMa3BmBw+dDoXGza3ypptUfcUjZvQwwFzsjHhER0X0NHjwYgYGBAICtW7c6vWlFRET2KU65juT/vgLtqMXQaFtY6wq1KwJHzEfmt+tgOLtPxoRERCQ3yRtXvXv3hiiKEASh3DF3Dwi+6+7Yv9aJiIjIOTS6kEo1rf6qMPFXNq2IiMgukyZNqnDbwqqccXXvNoGbNm2qVkYiInIssyENyVteQ+DwuXALftBaFwQF/B5/ASpvHTKPfApuFEVEVD9J3riKjY2tsAHl4eGB1q1bw9vbG6Io4vLly0hKSpIoIREREfkPfrnKTSsAULh6sGlFRESy8fX1xeDBgwEAFy9exIULF2ROREREfyUa85GyMwr+A/8PnqGP21xr0HU4lN5apO97l9uOExHVQ5I3rvr06WP32MGDB2P16tXw8/PD1KlTcezYMScmIyIiIgBwaRZq15lW96MJbA6XpqEoSox3UCoiInImT09P9O/fH506dUJAQADc3Nwq3CVj6tSpEiasnLFjx8LFxQUAV1sREdVoFjPS96+GKUsPn14TbC55PPAIlJ5+SP3iDVgKcmQKSEREcpC8cVUZMTExOHPmDM6ePYvo6Gh07twZd+7ckTsWERFRneb14GDHzNNlEBtXREQ1nCAIWLhwIV555RV4eHjYfU9Nb1zd3SbQZDJhy5YtMqchIqKKZP+0HaacFPgPnAVB+eevK10bt0PQhFVI2bkYpizuxkREVF8oKh4ir+TkZLz33nvw9/fHnDlz5I5DRERUpwkaN7i36e6Qudzb9IBQje0GiYjI+TZu3IhFixbB09MTFosFqamp1pVWt27dQl5eHgRBsNbS0tJw8+ZNJCQkyBn7vlq1aoVu3boBAA4dOgS9Xi9zIiIiskfez98hZediWIrybOpqv0YImrgKLo3bypSMiIikVuMbVwDw448/AoB1j3IiIiJyDpVXAASF0iFzCQollF7+DpmLiIgc74knnsCECSXbMm3cuBFarRb9+/e3Xg8ODoa3tzfatm2L1atXw2KxIDMzE08++SRatmwpadYlS5ZYG2hHjx6979irV69axw4aNEiihERE5AiFNy8gefMcmHJSbOpKd2/oxi6He5seMiUjIiIp1YrGldFYcghjo0aNZE5CRERUtzl6hZRC4+7Q+YiIyHEmTZoEAPjll18wZcoUZGVlQRTFUuOuXLmCl19+GcOHD0dISAj279+PBg0aSB2XiIjqieK0m0j+72wY9dds6oJKg4Bhr8MrfJhMyYiISCq1onHVs2dPAEB+fr7MSYiIiOo20Vjg0PksRv7bTURUU3Xr1g2iKGLt2rV2jY+JicGmTZvQvHlzzJo1y8npiIioPjPnZiB56+so+CPOpi4ICvj1nQrf/tMBoVb8WpOIiKqgxv8fvlu3bli0aBFEUcSpU6fkjkNERFSnmQxpEC1mh8wlmk0wG9IdMhcRETmeVqsFAFy+fNlaM5v//DdAo9GUumfXrl0QBAHDhw93fkAiIqrXRGMBUnYtheH8gVLXGjw0BIHD50FQu8iQjIiInE0l9QMXLlxY4RiFQgFfX1+EhYXh4YcfhkKhgCiK+Oc//ylBQiIiovpLNBYg//JxeLTtWe258q8cd/gKLiIicryMjAzrZ4PBYP2s1Wpx69Ytm7EpKSVnjgQHB0uSjYiI6jnRgoxv1sKUpYdv7+dtLrm37gbd2LeQ8sVSWPKz5MlHREROIXnjKioqqsx908sjCAJMJhPmzJmDb7/91onJiIiICAAM52Ic0rgynN3vgDREROQser0ezZo1g5+fn03NaDRCrVajY8eOpRpXzZo1AwC4urpKmpWIiOq3nJO7YMpJRcCgf0BQqa11l0ZtEDRxFVJ2RsGUces+MxARUW0iy1aBgiDc9wsoedPv4sWLWLNmDTp37ozVq1fLEZWIiKjeUahdK/WSSVmMqTdQlBjvoEREROQM8fEl/59u3769tWY2m3Hu3DkAwKRJk0rdM336dADAzZs3JUhIRET0p/xLR6HfsQDmwlybutonCEETVsKlyd9kSkZERI4meeNKqVRW+KVSqeDr64suXbogMjISly5dkjomERFRveTWqmvJXvH/e5GkKizGAqTHcHtfIqKa7vvvv4cgCOjfv79NffPmzdZzrDZt2oRBgwZh1KhR2Lt3LwYMGABRFLFnzx6ZUhMRUX1WdOsXJG+eDVNWsk1d6eYF3Zg34d7uUZmSERGRIwkAqvdKNdUbjRs3tm4V0qRJE9y+fVvmRERE5EhurbshMOI1CEp1xYPLYTEWIDV6GQpvnHdgMiIiedT173+Dg4Nx7do1FBUVITg42Hp+lVKpxIkTJ9ClS5dSK3AFQcDNmzfRpUsXZGXxPJG/qut/Z4iIagqFuw+0oxbBpWGbUtcyv9+AnJNfyJCKiKh+csb3wLJsFUhEREQ1i1vr7giMeL1U0yr/ygkYU+3bDsqYegP6ra+zaUVEVEvcuHEDLVu2RIcOHZCTk2Otm81mPP7449iyZQtMJpPNlu4xMTHo1asXm1ZERCQrS34W9NvmIv/KyVLXfHtPgt8TLwICf+1JRFRbqeQOQERERPJyb9MDAUPnQFDafltguPANMr5+H4AIl6ah8OoyGO5tukNQKK1jRLMJ+VeOw3B2P8+0IiKqhco7qyorKwvPPvssZsyYgdatW0OlUuHq1avIzMyUOCEREVHZxOIipEYvg2+/aWjw0FM217wefBLKBgFI2/M2xOJCmRISEVFVSd64atq0qVPmTUxMdMq8REREdZn7A4+UNK3uaUYBgOH818j4Zi3u7ihclBiPosR4CBo3KL38odC4w2LMh9mQDtFYIENyIiKSQm5uLs6dOyd3DCIiorKJFmR++xFM2Xr49Z1ic8k9JBy6cSuQumsJzHl88YKIqDaRvHF1/fp1h88piiLU6qqfx0FERFQfubftiYAhr5ZuWp07gIyDH6CsYzBFYwFM6bckSkhERERERFQxw+lomHNSEPDUKxBUGmvdJagVgia+i5RdUShOS5AxIRERVYbkm73e3R/d0V9ERERkP/d2j5bdtDobU27TioiIiIiIqKbK//0Y9Nvnw5yfbVNXeWsRNP4duDbrKFMyIiKqLMlXXE2aNAkAMGPGDISHh6O4uBgHDx7EqVOnoNfrIQgCtFotwsPD8cQTT0CtVuP06dP48MMPpY5KRERUJ7m3ewwBT71cqmmVc2YfMr/9SKZUREQktfXr11f5XlEUMXXqVAemISIiqr6i25eQvPlVaEdHQe3byFpXuHpC+/QSpB9Yg7xfjsiYkIiI7CF54+qzzz7DJ598grCwMBw8eBBTpkzBnTt3yhzbqFEjfPLJJxgwYADi4+Mxbdo0idMSERHVLR7te8N/cGTpplXcXmQeXidTKiIiksPzzz8PUaz8CltBENi4IiKiGsuUeQfJ/50N7chFcGnc1loXlGoEPPUKVN46ZP+0XcaERERUEckbVyNHjsTkyZNx+vRpDB48GBaLpdyxd+7cwZAhQ3D8+HFMnjwZhw4dws6dOyVMS0REVHd4/K0P/Af9o4ym1R5kHv5EplRERCSXhISEChtXHh4eCAgIAFCyyiotLQ35+flSxCMiIqoyS0EO9Nvnwf+pV+DxwCM213x6TYDKW4v0b9YCFrNMCYmI6H4kP+Nq+vTpEEUR77333n2bVndZLBa8++67EASBK66IiIiqyKND37JXWp3+kk0rIqJ6qkWLFmjZsuV9v3Q6HQICAjBr1ixkZWUhKysLTz75JFq2bCl3fCIiovsSTUak7XkbOae/LHXNs+MT0I5aDEHjJkMyIiKqiOSNq44dSw5CvHz5st333B0bGhrqlExERER1mUeHfiUrrQTbf/ZzTkUj87v/yJSKiIhqi8zMTKxduxY9e/aETqfDgQMH4OPjI3csIiKiiokWZH73H2R8+zFE0fYFercWXRA0/h0ovfxlCkdEROWRvHHl5eUFANBqtXbfc3fs3XuJiIjIPh6hj8N/0EulmlbZJ79A5pH1MqUiIqLa6LfffsOaNWvQvHlzvPLKK3LHISIispvhzFdIjV4OS3GhTV2jbYGgie9CHdhCpmRERFQWyRtXN2/eBAA8++yzdt9zd2xCQoJTMhEREdVFnp0GIKCsptWJXcj6foNMqYiIqDY7dOgQAGDEiBEyJyEiIqqcgisnoN82D+a8LJu6yisAQePfhmvwgzIlIyKiv5K8cbVnzx4IgoCxY8fi1VdfrXD8K6+8gmeeeQaiKCI6OlqChERERLWfZ6cB8B84s1Q9+/hOZB3dKH0gIiKqE3JzcwEAzZo1kzkJERFR5RmTLiP5v6+gOD3Rpq5wcYd2dBQ8Qh+XKRkREd1L8sbVihUrkJycDAB46623cPbsWbz00kvo0aMHWrVqhZCQEPTo0QMvvfQS4uLi8PbbbwMAkpOTrZ+JiIiofJ6dnyy7afXTDmTFbpIhERER1RUPPljyNnpxcbHMSYiIiKrGlK1H8uZXUZj4i01dUCgRMOglePeaIFMyIiK6SyX1A7Ozs9G/f3988803aNy4MTp27Ih333233PGCIODWrVsYOHAgsrOzJUxKRERU+3g+OAj+T8woVc/6aTuyf9gsQyIiIqorgoODERUVBVEUcf78ebnjEBERVZmlMBf6HQsQMDgSHu0etbnm02MsVA20SD+wBrCYZEpIRFS/Sd64AoBLly7hb3/7GxYvXoznn38evr6+ZY7LzMzEhg0bsHTpUhgMBolTEhER1S5eXZ6C3+MvlKpnHduK7B+3ypCIiIhqsokTJ1Y4RqFQwNfXF2FhYYiIiIC7uztEUcRHH30kQUIiIiInMhcjbe9KmLL18O422uaSZ4e+UHn5IyV6OcSiPJkCEhHVX7I0rgDAYDBg9uzZmDt3Lh566CGEhobC19cXgiAgIyMD8fHxOHPmDLegICIisoPXQ0Pg1396qXrWj1uQfWybDImIiKim27hxI0RRtHu8IAgAgDVr1uDzzz93ViwiIiIJicg6ugmm7BT4Pf4CBIXSesW1eScETXgHKTujYM5JlTEjEVH9I1vj6q7i4mKcOHECJ06ckDsKERFRreQVNhR+/aaVqmf9sBnZP22XIREREdUWd5tRFcnKykJsbCw++OADHDp0yMmpiIiIpJV7/gDMOakIiHgNCo2bta4JaI6gie8iddcSGPXXZExIRFS/yN64IiIioqrzCouAX7//V6qeGfsZco7zbXgiIipfixYtKhxjsVhgMBh43jAREdV5BX/EQb/1dQSOWgyVp5+1rvL0g27cCqTueRuFf8TJmJCIqP6okY2rjh07YtSoUQgICMD169exefNmJCUlyR2LiIioRvEKHw6/vlNK1TOPbkLOiZ0yJCIiotokISFB7ghEREQ1ilF/Dcn/fQXa0VHQBDS31hUaN2hHLkTGoY+Qe/6AjAmJiOoHhdQPDAsLw8mTJ3Hs2DF4e3uXuj5t2jScOXMG8+bNw7Rp0/DWW2/h0qVL6Nu3r9RRiYiIaqwGXUeU3bT6fgObVkRERERERFVkzklF8uY5KLx5waYuKJTwH/AifB57DoB9W+0SEVHVSN64GjJkCMLCwpCZmVlqu4ng4GCsWbMGCoUCgiBYv7y8vPD555/D399f6rhEREQ1ToOHR8K3z+RS9cwjnyLn5BcyJCIiIiIiIqo7xKI86D9fjNyfvyt1zbvbaAQMmQ0oa+RGVkREdYLkjavevXtDFEUcOFB6We2MGTOgVqtRUFCAESNGwNvbG08//TQKCgrg4+ODF154Qeq4RERENUqDbqPh23tSqXrGd+uRc2q3DImIiIiIiIjqIIsJ6THvIeun7aUuebR/DLoxb0Lh6lnmrYLGDWr/ptA0bAO1f1MIGjdnpyUiqlMkfzWgcePGAICff/651LVhw4ZBFEV8/PHH2LNnDwDgiy++QPfu3REZGYknn3wSy5YtkzQvERFRTeHdfQx8Hp1Yqp5x+BMY4vbIkIiIiGozk8nk8DlFUYRarXb4vERERHLJ/mEzTFl6+A/8PwgKpbXu2rQDgiasRMrOKJiy9QAAl2ah8OryFNxbd7MZK1rMyL98HIZzMShKiJf8z0BEVNtI3rgKDAwEAGRkZNjUGzVqhJCQEIiiiJ07bc/mOHjwICIjI/HAAw9IlpOIiKgm8e4xFj69JpSqZ3y7DoYze2VIREREtZ0g8HwOIiIie+TFH4LZkIbAYXOhcHG31tX+TRE0cRUyjnwK74dHQRPYvMz7BYUSHm17wqNtTxhTbyI95j0Y9dekik9EVOtI3rjSaDQAAE9P26W0vXr1AgDk5+fj1KlTNtf0+pK3Fry8vCRISEREVLN4PzIOPj3HlapnHPoIhrP7ZEhERER1wZIlSwAAgwcPRlhYGADgl19+walTp6DX6yEIArRaLcLDw9GhQweIooi4uDjs379fzthERESyKLxxDslbXoN29GKovAKsdaWHLwIGv2z3CyGawObQjVuB1OhlKLxx3llxiYhqNckbV6mpqdbVVcePH7fWH3/8cQDAiRMnYLFYbO5xdXUFAGRnZ0sXlIiIqAbw7jkOPo+UblqlH/wQuediZEhERER1xdKlS7FgwQKEhYXhwoULmDZtGuLi4soc+9BDD2HdunUICwvDvn378Oabb0qcloiISH7FqdeR/N9XoB0VBY22hbVe2VXMCo0bAofPh37r61x5RURUBoXUD4yLi4MgCJgyZYr1f+p+fn4YMWIERFHE4cOHS90TEhIC4M+VV0RERPWBd68J5TStPmDTioiIqq1v375YsmQJLl++jJ49e5bbtAKAM2fOoFevXrh69SqioqLQr18/CZMSERHVHGZDOpK3zEHB9bPVmkehcYP/4EgHpSIiqlskb1x99tlnAEq2Bvzxxx+xcuVK/PTTT/D29obJZMKWLVtK3dOjRw8AwOXLlyXNSkREJBefXhPh02NsqXr6N2uRe45bNBERUfXNmjULoihixYoVyM/Pr3B8fn4+VqxYAUEQMHPmTAkSEhER1UyisQDZJ3dXex5NYDB1KSfJAAAgAElEQVRcmoY6IBERUd0ieePqyy+/xK5duyAIArp164bIyEi0bt0aAPDOO+/g1q1btgEVivuuxiIiIqprfB59Dt49xpSqp3/9b+SePyBDIiIiqovunmt18eJFu++5cOECACA8PNwpmYiIiGoLr84DHTNPl0EOmYeIqC6R/IwrABg7dixmzJiB0aNHIygoCElJSdi0aRM2btxY5lidTgcAOHTokMRJiYiIpOXz2PPw7jaqVD39wBrkXjwoQyIiIqqr/Pz8AADe3t5239OgQQMAgK+vr1MyERER1QaCxg3ubbo7ZC73Nj0gaNwgGgscMh8RUV0g+YorABBFEWvXrkXv3r3Rtm1b9OnTp8ymFQBs3boVSqUSSqUSV69elTYoERGRhHx6TyrVtBJFC9L2r2bTioiIHO7OnTsAgJEjR9p9z6hRJf9OJSUlOSUTERFRbaDyCoCgUDpkLkGhhNLL3yFzERHVFbI0roiIiMiWb58p8H7Y9heHomhB+v7VyIvnimMiInK8r7/+GoIgYPr06Rg9enSF40eOHInp06dDFEXs38/zFomIqP4SNG4OnU+hcXfofEREtV2NaVwpFAo0bdoUTZs2lTsKERGRpHz7TkWDrsNtaqJoQXrMv5D3M893JCIi51i+fDlycnKgUCiwbds2REdHIyIiAo0aNYJKpYJSqUSjRo0QERGB3bt3Y8eOHVAqlTAYDHjrrbfkjk9ERCQbR2/rZzHmO3Q+IqLaTpYzrsrStm1bxMfHw2KxQK1Wyx2HiIhIEr79pqFB2FCbmmgxIz3mn8j79Xt5QhERUb1w584dREREYO/evfDy8sKQIUMwZMiQcscLggCDwYCIiAjrNoNERET1kcmQBtFidsh2gaLZBLMh3QGpiIjqjhqz4uouQRDkjkBERCQJ3/7T2bQiIiJZxcbGomPHjoiOjobFYoEgCGV+WSwW7N69Gx07dkRsbKzcsYmIiGQlGguQf/m4Q+bKv3Lc4Su4iIhquxqz4oqIiKj+EOD3+Avw6jLYpipazEjb9y7yL/EXgkREJJ2EhASMGjUKOp0Offr0QWhoKHx9fSEIAjIyMhAfH48jR45Ar9fLHZWIiKjGMJyLgUfb/8/efUdHVa1tAH/O1BTSM5lUOiGA6CcgHRKaXikiTURErspFUEERkCZdadJVVBSQIkQEcgURFRFpglQhNEMNSUgmPYS0aef7I5fRIQkpzMxJeX5rzVqHvffZ55klLmbmPWfvjg8/z2nuG0lEdD8WroiIiBxKgPeTo+H2eE+rVtFsQuquxci9fEiiXEREVNPpdDpERkYiMjJS6ihERESVXsGtaOhTYqHS1KnwHKLZBEC0XSgiomqi0i0VSEREVH0J8H7q9RKKVh+yaEVERERERFSFpO1eCvNDLPMnyOTQDp4L12ZdbZiKiKjq4xNXREREDiHA+19vwu2xp6xaRbMJqTsXIfevIxLlIiIiKpmfnx969+4NX19f3LhxA7t27UJ+fr7UsYiIiCoFve4aUqI+gKbfNMhUzhWaQ5Ar4dv7HSi8ApB1+GsbJyQiqppYuCIiIrI7AT5Pj0GtR5+0ahVNxsKiVczvEuUiIqKaLCwsDLNnz4YoinjttdeQlZVl1d+nTx9s3rwZzs5//xAXFxeHZ555BtHR0Y6OS0REVCnl3/wTus2T4dPrnTItG6hPjYUpNwvOtR+1avfsMARKrwCk/rACMBnsFZeIqEqoNIWrv/76C/Xq1ZM6BhERkW0JssKiVfMeVs2iyYiU7xYi78pRiYIREVFN9+yzz2LgwIE4ePBgkaKVRqPBpk2b4OLiYtVeu3Zt7Nq1C02bNkVubq4j4xIREVVaet01JK59A+qQ5nBr0Qsuoe0gyOSWftFkRO6Vo8g+/QMK4qIBQQavLq/A/YlnreZxbRoBubsGKTs+gDnvjqPfBhFRpVFpClcmkwm3bt2SOgYREZHtCDL4PD0WtZp3t2oWTQak/HcB8q7+IVEwIiIioFu3bhBFEd9//32Rvtdffx21atWC0WjEu+++i3379uGpp57CggULEBwcjP/85z9YsWKFBKmJiIgqr4K4aBTERUNQOUPu5gOZygVmfS5M2WkQ/7kXlmhGxq9fwpCeAO8eo6yKXE7BzeA/bAmSt82CMT1BgndBRCQ9mdQBiIiIqiVBBp+eb5dQtJrPohUREUmudu3aAICzZ88W6evfvz9EUcSGDRuwYsUKnD9/HkuWLMGaNWsgCAKeeeYZR8clIiKqMkR9Hoxp8dAnxsCYFm9dtPqHu3/uQfL2OTAXWD/FrPQKgP+Li6EOae6IuERElU6lKFy5ubkhMDAQISEhpb4qk/3790MUxXK9wsPDy32dmTNn2nV+IiKyMUEGn17jUOuRrlbNotGAlKh5yLt6XKJgREREf9NoNACAlJQUq3YfHx80a9YMALB582arvp07dwKApZ+IiIgeTv71U0j6+l0Y7yRbtcud3aAdPAeu932vJCKqCSRbKrBHjx4YPXo0OnXqBC8vrzKdI4oilEqlnZPZj8lkwpUrV6SOQURE9iTI4NvrHbg2i7BqLixafYC86yelyUVERHSfe/tXOTk5WbV37NgRgiCgoKAAR44csepLTEwEAHh6ejomJBERUQ1gSLmJpA3joRkwA+qARpZ2Qa6Eb693oPQKROahrwGI0oUkInIgSQpXn376Kf7zn/8AAARBkCKCTbz88stwdXV94JimTZti69atAIB9+/bh9u3bD3XNRx555IH9N27ceKj5iYjoIQgy+PYeD9em1k+/ikY9kqM+QP71UxIFIyIiKio9PR1+fn6oXbs2/vjj7yVsu3XrBgA4efIk9Hq91TkKReFXyLt37zouKBERUQ1gysmAbstk+PaeAJfQdlZ9Hu2fh8IrEKm7lwEmg0QJiYgcx+GFq5EjR2LkyJEAgOzsbERFReHs2bPIzMyE2Wx2dJyHcvPmzVLHDBs2zHK8YcOGh77mhQsXHnoOIiKyA5m8sGjVpLNVs2jUI3nH+8i/cVqiYERERMU7e/YsevTogRdeeAHffvstgMKnrwYNGgRRFPHrr78WOadOnToAAJ1O59CsRERENYFoKEDKf+fDM+Lf8Gjd36rPtUlnyN01SNk+F+a8OxIlJCJyDEkKVwBw6dIldO3aFcnJyaWcUXUJgoChQ4cCKCzS7dixQ+JERERkFzI5fPtMhGtYR6tms6EAKTveR/7NMxIFIyIiKllkZCSefPJJ9OnTB1u2bMHhw4cxePBg+Pn5wWw2Y8uWLUXOadOmDQDg+vXrjo5LRERUM4hmZO5fC2NGIrx7jIIgk1u6nIKawH/YEiRvmw1jeryEIYmI7Evm6AuGhYVBFEXMmjWrWhetgMIlNoKDgwEA27ZtQ15ensSJiIjI5mRy+D7zbvFFq+1zWLQiIqJKa8OGDTh8+DAEQcCgQYOwYsUKtG/fHgCwbt06/PXXX0XO6d+/f4lPY9nLwoULIYqi5RUeHl76SQCeeOIJfPLJJ7h48SKysrKQnZ2Nq1ev4vvvv8e4cePg6+tr5+REREQVd/fPPUjeNhvmglyrdqVXAPyHLYZT7UclSkZEZH8OL1zdWwv9ypUrjr60w7300kuWY1ssE0hERJWMTAHNM5Pg2riDVbPZkF9YtIo9K1EwIiKi0omiiKeffhpLly5FfHw8jEYj4uLiMHfuXIwePbrI+N69e6Nu3boAgL179zok46OPPopx48aV6xyVSoXVq1fj2LFjeP3119GkSRO4u7ujVq1aaNCgAXr16oWlS5eiQ4cOpU9GREQkofwbp5G0aSKMWdY3/8udasHvuTlwbd5domRERPbl8KUCL126hE6dOiEgIABnz1bfH/RcXV3Rr18/AEBsbCx+++03m8z7888/o0WLFnBzc0NmZiYuXryIH3/8EZ9//jkyMzNtcg0iIioDmQKavpOKbJprNuQjedtsFNyKligYERFR2eXm5mLixImYOHFiqWMPHz6MevXqAQBu3bpl72gQBAFffPEFlEoldDodtFptqecolUpERUWhZ8+eAICDBw9iw4YNuHTpEoxGI+rUqYPHHnsMgwYNsnd8IiIimzCkxiJx4zvwGzAD6oBQS7sgV8C359tQegUi8+BGAKJ0IYmIbMzhhavVq1ejc+fOGDJkCH788UdHX95hBgwYgFq1agEANm7caLN5e/ToYTn28/ODn58fIiIiMGnSJPz73//Gzp07Kzx3UFDQA/sDAgIqPDcRUVUiqJyhcPOFoHKGqM+DMTsVov4fy73KFdD0nQKXRm2szjPr/1e0imPRioiIqp/MzEyH3iw3duxYtG7dGpcuXUJUVBSmTp1a6jnvvfeepWg1fvx4LF261Kr/+PHj+Pbbb/Hee+9BoXD412EiIqIKMedkQrd5Cnx7j4dL4/ZWfR7tnoPC0x9pPyyHaNRLlJCIyLYc/kl9y5Yt6NevH4YOHYrjx4/jk08+cXQEh7D1MoHnzp3Df//7Xxw/fhy3b9+GUqlE48aNMXToUDz11FPw8vLC9u3b0adPnwoXBOPjuakjEdVs6trN4daiN1watbXaAFc0m5AbcxTZZ3ajIOESNM9OhUvD1lbnmvV5SP52FgriLzg6NhERUbUTHByMuXPnAgBGjx6NiIiIUs+pV68eJk+eDKBwj677i1b3MxqND52TiIjIUURjAVL+Ox+eEf+GR5sBVn2uTTpD4e6H5B1zYc7NkighEZHtSHKL2dChQ7F48WIsX74czz//PLZu3YqYmBjk5uaWeu6hQ4cckPDhBAUFWb5YHT169KH381q+fDlmz55dpP348ePYuHEjRo4cic8//xwKhQJffvklGjZsiPz8/Ie6JhFRTaLSNoBPr3eg0tQptl+QyeEa1hGuYR1h1udCpnKx6mfRioiIqpOmTZsiOjoaZrMZSqVSkgyrVq2Cm5sbvvrqKxw4cKBMhauRI0dCpVLBbDZjzpw59g9JRETkcCIyf1sHY8ZteD/5utUNl+qgMPgPW4LkbbNgTOPN6URUtUlSuDIYDDh79izS09PRrl07tGvXrvSTULh5sFRfnMrjxRdfhFxe+A/H+vXrH3q+rKwH3ymxevVqtGrVCv/5z38QFBSE/v37Y/PmzeW+TnBw8AP7AwICcOLEiXLPS0RUmTnV/T9o+k2DTOVcpvFFilYFuYVFq4SL9ohHREQkGUEQJLnuoEGD0KdPH6SlpZVp761/ngcAJ0+exM2bNwEUvofAwEAolUokJSXxBj8iIqoW7p79CcasZGienQyZ2tXSrvT0R8CLi5Hy3/nIjz0rYUIioocjc/QF5XI5tm7ditWrV8PHxweCIJTrVRUMGzYMAJCfn49vvvnGIdf8/PPPLcfh4eEVmiMhIeGBr8TERFvFJSKqFFTaBuUqWt2v8EmrGSxaERER2YiHhwdWrFgBAJg0aRJSU1PLdJ6vry8aNGgAoHDVCzc3NyxbtgypqamIj4/HjRs3cOfOHfz222+WPbCIiIiqsvybZ5C06V0Ys3RW7TKnWvAbNBu1Hu0hUTIioofn8CeuRo0ahQEDCtdhvXnzJtavX49z584hMzMTZrPZ0XFsrmXLlmjWrBkA4Pvvv3fY5sUXL/79o2lQUJBDrklEVNX59HqnwkUrADDlZKIg4bINExEREdVsixYtQkBAAI4cOYI1a9aU+bymTZtajvPy8nD69Gk0bNjQaoxSqUR4eDjCw8OxdOlSjB8/vtz5SvuuFRAQUO45iYiIKsqQGovEjePh138G1IGhlnZBroDP029B4RmIzIMbAIjShSQiqgCHF65GjBgBADh27Bi6detW7ZZqeOmllyzHtlgmsKyqytNoRESVhbp28xL3tCorpVcA1CHNURAXbaNURERENVeHDh0wYsQIGAwGjBo1qlznent7W47ffvttODk54ciRI5gyZQpOnDgBJycnPP3001i8eDECAwPxzjvvICYmxmrlirKIj+eeIUREVLmYczKh2zIFPr3fgWvjDlZ9Hu0GQeHlj7TdyyAa9RIlJCIqP4cvFdiwYUOIooj58+dXu6KVQqHA888/DwBITk7Gnj17HHbtf95hePv2bYddl4ioqnJ7vJdt5mnB5YaIiIgellKpxOrVqyGTybBs2TKcP3++XOe7uv69v4eTkxNOnjyJbt264dChQ8jPz0dmZia2bNmC8PBw3L17FwAwZ84cODk52fR9EBERSUE0FiD1vwuQdWxbkT7XsE7QDpkHmYunBMmIiCrG4YWrnJwcAEBcXJyjL213Tz/9NPz8/AAAmzdvhslkcti1X3vtNcvxgQMHHHZdIqKqSFA5wyW0nU3mcgltD+EhlhskIiIiYOrUqWjatCliY2Mxe/bscp9//02R06ZNQ0FBQZFxV69exaeffgoA8PPzQ/fu3ct1neDg4Ae+nnjiiXJnJyIisg0RmQe+QtqPH0E0W/8mqQ4MQ8CwxVD6hEiUjYiofBxeuDp79iwAoE6dh1ueqTL65zKBGzZsKNM5w4cPhyiKEEURM2fOLNL/yCOPWDYZLsnIkSMtSzAmJiYiKiqqHKmJiGoehZsvBJncJnMJMjnkbj42mYuIiKgyuHHjBrp06YKuXbs65HqNGzfGlClTAABjxoxBbm5uuefIzs62HBcUFGD//v0ljv3pp58sx+UtNCUkJDzwlZiYWO7sREREtnT37E9I3joD5oIcq3aFpz/8hy2GU53HJEpGRFR2Dt/j6rPPPkP37t3x6quvYufOnY6+vN14enqid+/eAIDo6GicOXPGJvO2bNkSX375Jfbv3489e/YgOjoaaWlpUCgUCAsLw4svvognn3wSAGA0GvHaa69V6IseEVFNYusnpGQqF5vOR0REJKW8vDwcPHjQYdcbN24c1Go1rl27BhcXFwwePLjImEceecRy3LVrV/j7+wMAdu3ahdzcXKsVPXQ6HQwGQ4nX++fYeytmEBERVSf5sWeRtGki/AbOhMJDa2mXqV3hN2g20n9ehbvnfpYwIRHRgzm8cBUVFYXPPvsMo0aNwocffohJkybBbDY7OobNDR482LI+elmftiorhUKBHj16oEePHiWOSU1Nxauvvopdu3bZ9NpERNWRqM+z6XxmPW8YICIiqii1Wg0AaNCgASIjI0sdP2PGDMtx3bp1ERsbiytXrkCv10OlUkEuf/BT1f/sNxqNFUxNRERUuRlSbyFxw3j4DXgP6sAwS7sgV8Dn6bFQeAUi88B6AKJ0IYmISuDwwtWwYcNw7NgxPP744xg3bhwGDhyIHTt2ICYmpkxPCm3cuNEBKctv2LBhAAq/+Hz99dc2m/eHH37AK6+8gnbt2uHxxx+HVquFj48PBEFAeno6zp49ix9//BFfffWV1fIYRERUMmN2KkSzySbLBYomI0zZaTZIRURERBVlNBpx9OhRhIeHQ6vVwsXFpcTvl/9cij0hIcFREYmIiBzOnJsJ3Zap8On1DlzDOlr1ebQdCIVXANK+XwrRWHRfSCIiKQlwcFndZDJBFCt2SVEUoVQqbZyIyiooKAjx8fEACjcl5pc8IqrKfPtOLvLBvSJyLh9C6ncLbZCIiIgqm5ry+TcsLAwjR45Ep06dUL9+fbi5uUEme/B2yI7+bjZz5kzMmjULABAREYEDBw4UGTNmzBisXLkSAPDCCy9gy5Ytxc61du1avPzyywCAjh074siRIzbLWVP+zhARUVUjwLPzS/BoN6hIT8Htv5C8Yy7MOZkS5CKi6sAen4Ef/G3ETgRBqPCLiIjIFrLP7LbNPKd/sMk8REREUpg0aRLOnj2LsWPHokWLFvD09IRcLq+S383Wrl0LnU4HAJg3b16x+1eFh4dbVsuIjo62adGKiIio8hKReXA90vasgGiyXiZXHdgYAcOWQOlbW6JsRERFOXypwHr16jn6kkREREXok67BbCiATKmu+BwpN1EQF23DVERERI4zcOBAzJs3DwBgNptx6NAhnD17FpmZmVVyH+KcnByMHTsWW7ZsQd26dXHixAksWLAAx48fh5OTE55++mmMGzcOCoUCBoMBo0aNkjoyERGRQ909txfGrGRonp0CmVMtS7vCQwv/Fz9Eyn/nI//mnxImJCIq5PDC1a1btxx9SSIiIiuC2hXa5+Y8VNHKrM9D2u5lNkxFRETkWG+99RaAwn2eevbsifPnz0uc6OFt3boVvr6+WLp0KWrXro1Vq1YVGZOdnY0XX3wRv//+uwQJiYiIpJUfexZJmybCb+BMKDz9Le0ytSv8Bs1G+s+rcPfsTxImJCKSaKlAIiIiqcjUrtAOngt1YOMKz2HW5yEl6gPodddsmIyIiMixHn30UYiiiOnTp1eLotU9q1atQosWLbBq1SpcuXIFubm5yM7OxtmzZ7Fw4UKEhoZi586dUsckIiKSjCEtDokbx6Mg4bJVuyCTw+dfY+AZ8TKAyrcsMBHVHA5/4oqIiEgqMrUr/Aa/D3VAI6t2Y24WxPy7UHoHlTqHPuUm0nYvY9GKiIiqPIPBAAD488/KvyTQ7NmzMXv27DKPv3jxIt544w07JiIiIqrazLlZ0EVOhU/Pt+HapLNVn0ebAVB6BiD1+yUQjQUSJSSimoyFKyIiqhFkTrUKi1b+Da3ajdlp0EVOhTE9AeqQ5nBr0Qsuoe0gyOSWMaLJiNwrR5F9+gfuaUVERNVGTEwMWrduDR8fH6mjEBERkQREox6pOz+EMSMRHu0HW/W5NG4PrbsvUrbPhSknQ6KERFRTObxwde1axe9QF0URDRs2LH0gERHRP8ic3KB9/n2otA2s2o3ZadBtmQJjxm0AQEFcNArioiGonCF384FM5QKzPhem7DSI+jwpohMREdnN+vXr0aZNGzz77LP49ddfpY5DREREkhCReWgjDJmJ8HnqTQjyv38uVgeEwv+lJUj+djYMqbESZiSimsbhhau6deuWeawoihAEwerPRERE5SFzdod28PtQaetbtRuzU6HbMtVStPonUZ8HY1q8oyISERFJYs2aNRgyZAhGjhyJn3/+Gd9//73UkYiIiEgiOdG/wJSVDN9+UyF3qmVpV7j7wf/FD5Hy3QLk3zgtYUIiqkkcXrhav359qWNcXV3RuHFjNG/eHKIo4syZM4iO5tJMRERUPjJnd2if/wAqv3pW7cY7KYVFq8xEiZIRERFJz2g0om/fvli/fj2ioqIQGRmJrVu3IiYmBrm5uaWeHxcX54CURERE5Cj5t84haeME+A2aBaWnv6VdpnaB38CZSN/7Ge7+uUfChERUUzi8cPXKK6+UeWyzZs2wdu1aNGvWDPPnz8eOHTvsmIyIiKqTkotWyf8rWiVJlIyIiKjyyMrKwsqVK9G2bVsMGTIEQ4YMKdN5oihCqVTaOR0RERE5mjE9Hkkb3oFmwHQ4BTWxtAsyOXyeegNKr0Bk/LYOEM0SpiSi6k4mdYAHuXDhArp27YrExERs2LABjRs3ljoSERFVATIXD2iHzCtatMpKhm7zFBatiIiI/mfZsmX4+eef4evrC0EQyvUiIiKi6smcdwe6LVORc+lgkT731v2geXYKBKVagmREVFM4/Imr8srJycHSpUvx8ccfY+LEiRgxYoTUkYiIqBKTuXhCO+QDqHzrWLUbs3SFT1pl6SRKRkREVLkMHToUY8eOBQDcuXMHUVFROHfuHDIzM2E28y5qIiKiGs1kQOrOD2HMuA2P9s9bdbmEtoN2yAKk7JgL0910iQISUXVW6QtXAHDixAkAQLdu3SROQkRElZnM1RPa5+dB5Vvbqt2YmYSkLVNhupMsUTIiIqLKZ8yYMQCAy5cvo0uXLkhO5r+TRERE9E8iMg9tgiEjET7/ehOC/O9lgtUBjeA/bAmSt82GIeWmdBGJqFqq1EsF3nNvGQqtVitxEiIiqqzkrl7wHzK/SNHKkJmEpC1TWLQiIiK6T1hYGERRxKxZs1i0IiIiohLlnN8H3TczYMq/a9WucNfAf+giONVvKVEyIqquqkTh6qmnngJQuHEwERHR/eS1vKEdMh9KnxCrdkNGInSbp8B0J0WiZERERJWXwWAAAMTExEichIiIiCq7grhoJG0cD0NGolW7TO0CvwEzUOvxnhIlI6LqqNIXrgYPHowpU6ZAFEUcPnxY6jhERFTJyGv5/K9oFWzVbsi4Dd2WKTBls2hFRERUnMuXLwMA/P39JU5CREREVYExPQFJG8cjP/6iVbsgk8Pnydfh1XUEIFT6n5uJqApw+B5Xa9asKXWMTCaDl5cXWrRogcDAQAiCAKPRiAULFjggIRERVRVyNx9on58PpXegVbsh/TZ0kVNgyk6TKBkREVHlt27dOrRv3x5DhgzBTz/9JHUcIiIiqgLMeXegi5wG355vwbVphFWf+xPPQuHpj9RdiyEa8qUJSETVgsMLV//+978himKZxt7b2+rOnTsYMWIETp06Zc9oRERUhcjdfKEdMg9Kr/uLVgnQbZkK010WrYiIiB5k7dq16Nu3L1588UWcOHECn3zyidSRiIiIqCowGZC6azEMGYnw7DDEqsulUVtoX1iAlO1zYLqbXuRUQeUMhZsvBJUzRH0ejNmpEPV5jkpORFWEwwtXt27dKrVwZTabkZ2djRs3buDAgQPYtGkT0tL4AyQRERWSu2n+V7QKsGo3pMVDFzm12A/HREREZK1Tp05YuXIlNBoNVqxYgRdeeAGRkZGIiYlBbm5uqecfOnTIASmJiIiosso6/DWMGYnweXoMBLnS0q72bwj/YUuQvG0ODCk3CttqN4dbi95wadQWgkxuGSuaTciNOYrsM7tRcCva4e+BiConhxeu6tWr5+hLEhFRNSJ31xTuaeVpvR+HIS2u8EmrnAyJkhEREVUtv/32m9VNhW3atEGbNm3KdK4oilAqlaUPJCIiomot58KvMN5JhqbfNMid3SztCncN/IcuRMbBjXD7v39BpalT7PmCTA7XsI5wDesIfUos0nYvhV53zVHxiaiS4m55RERUZe0sVcAAACAASURBVMjd/eBfQtEqacsUFq2IiIjKSRCECr+IiIiIAKAg7jySNk2AIeO2VbtM7QLv7iNLLFrdT6WpA+0LC+BU9//sEZOIqhCHP3FFRERUEXJ3P/i/MB8KD61Vuz41Frot02DOzZQoGRERUdXUpUsXqSMQERFRNWFMT0DSxgnQ9JsGp5Bmlvby3uwiUzlD028adJsn88krohqs0hWuPD09Ub9+fZjNZsTGxiIjg3fPExHVdAoPLbRD5kPh4WfVrk+JhS6SRSsiIqKKOHjwoNQRiIiIqBox592B7ptp8H36bbg2i6jwPDKVM3x6jUPi2jdtF46IqhS7LxWoVCqhVCohkz34Uk2aNMFPP/2ElJQUHD9+HCdPnkRycjL279+Pli1b2jsmERFVUgoPLbQvFFe0ugld5FQWrYiIiIiIiIgqC5MR2ed+euhpVJq6UIc0t0EgIqqK7Fq4qlOnDvLy8pCbm4vRo0eXOK5FixY4duwYunXrBplMZlkzXSaToXPnzjh06BC6detmz6hERFQJKTz9oX1hARTu9xWtkm9At2UqzLlZEiUjIiIiIiIiouK4Pd7LNvO06GmTeYio6rFr4So8PByCICA/Px/r1q0rdoxcLsfmzZtRq1YtCIIAvV6PQ4cO4ZtvvsGVK1cAAGq1GuvWrYOLi4s94xIRUSWi8Az4X9FKY9Wu110vXB4w745EyYiIiIiIiIioOILKGS6h7Wwyl0toewgqZ5vMRURVi133uIqIiAAA/Pjjj8jNzS12zKBBg9CoUSOIooi4uDj07t0bFy5csPTPnDkTM2bMQGBgIAYPHlxiAYyIiKoPhVdg4Z5Wbj5W7XrdNegi34M5P1uiZERERNXHvn37KnyuKIro3r27DdMQERFRdaBw84Ugk9tkLkEmh9zNB8a0eJvMR0RVh10LV02bNoUoiti/f3+JYwYPHmw5Hjt2rFXRCgBmz56Nbt26oX379ujVqxcLV0RE1ZzCOwja5+cVKVoVJF1F8jfvwZx/V6JkRERE1UtERAREUYQgCCWOEUXR6s/3xt7fTkRERATA5k9IyVRcgYuoJrJr4Uqr1QIAzp8/X+KYzp07AwBSUlKwa9euYsds2rQJHTp0QPPm3JCPiKg6U3gHQ/v8B0WLVolXkLx1OotWRERENnTw4MFSC1Curq5o1KgRPDw8IIoiYmJikJiY6KCEREREVNWI+jybzmfWF7+KFxFVb3YtXGk0hfuSZGRkFNsfFhYGT09PiKKIAwcOlDhPdHQ0gL8LYUREVP0ofILh//x8yGt5WbUXJMYg+ZvpMBfkSJSMiIioeurSpUuZx/bq1QsrVqyAt7c3RowYgSNHjtgxGREREVVVxuxUiGaTTZYLFE1GmLLTbJCKiKoamSMu4uJS/COdbdq0sRyfOXOmxPPv3r37wHmIiKhqU/qEwH9IMUWr2zHQsWhFREQkud27d6Njx44wmUyIiopCYGCg1JGIiIioEhL1eciNOWqTuXKvHLX5E1xEVDXYtXCVnJwMoHCvq+K0b9/ecnzixIkS5/Hw8AAA5OTwh0sioupG6VsH2iHzIXe9v2h1Gbpv3oPIohUREVGlkJSUhKVLl8LHxwfvvvuu1HGIiIiokso+s9s285z+wSbzEFHVY9fC1enTpyEIAoYOHVqkT6FQoE+fPgAAvV6P33//vcR5GjRoAABcS52IqJpR+taB9vkPIHf1tGovSLgM3TczIHItayIiokrl8OHDAAqXDiQiIiIqTsGtaOhTYh96HpfQtoDgkAXDiKiSsev/+d9++y0AICIiAu+9956lXRAELFmyBFqtFqIoYvfu3cjPzy9xno4dOwIALl26ZM+4RETkQEpNXWiHzCtStMpPuATd1uksWhEREVVCer0eALhUIBERET1Q2u6lMD/kMn/urfrCb8AMCCpnG6UioqrCroWrbdu2ITo6GoIgYNasWUhISMDhw4eRmJiIN954AwAgiiIWLVpU4hwKhQLPPvssRFF84FNZRERUdSg19QqftHLxsGrPj7+A5K0zuIY1ERFRJXXvpsLcXN5gQkRERCXT664hJeqDhy5eOTdoBf8XF0PhobVRMiKqCuxauDKZTBg4cCASEhIgCAL8/f3Rtm1baDQaCIIAAJgzZ84D97caNGgQvL29AQB79+61Z1wiInIApV89aIcUU7SKu4Dkb2exaEVERFRJtW3bFjNmzIAoijh+/LjUcYiIiKiSy7/5J3SbJ5d52UB9yk1kHNwE0Wiwaldp6sB/2BKog5rYIyYRVUIKe1/g6tWrePTRRzF58mT07dsXderUgV6vx5kzZ7By5UpERUU98PxRo0YhLS0N8fHxOHfunL3jEhGRHam0DeA3+H3Ind2s2vPjzhcWrQwlLxtLREREtjV9+vRSx8hkMnh5eaFVq1Zo06YNZDIZRFHEsmXLHJCQiIiIqjq97hoS174BdUhzuLXoBZfQdhBkcku/aDIi98pRZJ/+AQVx0QCAglvnoOk/zeqGV7mrJ7TPz0PajyuRc2G/w98HETmWAECUOgRVDUFBQYiPjwcABAcHIyEhQeJERFSVlFi0uhWN5G2zWbQiIqJKp7p//jWZTBDFsn8dFAQBRqMR7777LlasWGHHZFVXdf87Q0RE9LAElTPkbj6QqVxg1ufClJ1W7MorCg8tNANnQOVbp0hf1u/fIPPQJvBnbaLKwR6fge3+xBUREZHKv2Fh0cqpllV7fuw5JG+fDdFQIFEyIiKimu3eEu4lEUUR2dnZuHHjBg4cOIDVq1fj0qVLDkpHRERE1Y2oz4MxLb7UccYsHZI2ToSm77twrt/Kqs+j/WAofIKRtnspf08gqqZYuCIiIrtS+TeCdvBcyO4rWuXdPIuU7XMgGvkhk4iISApyubz0QUREREQSEfW5SN42B15dR8C91TNWfa6NO0DhoUXK9rkw3U2TKCER2YtM6gBERFR9qQJCoX3+/WKKVmdYtCIiIiIiIiKiBxPNyNi3Gmk/fQLRbLLqUvs3hP9LS6HSNpAoHBHZi90KVx9//DECAwPtNT0GDRqEIUOG2G1+IiJ6OKrAxoVPWqldrdrzbpxGyva5LFoRERFVAd7e3vD09JQ6BhEREdVwd//cg+RvZ8Kcf9eqXeHmA+3QhXAObSdRMiKyB7sVrkaPHo2rV6/i448/Rv369W0yp1KpxJAhQ3D+/Hls2bIFDRs2tMm8RERkW6rAMGifK6Zodf0UUna8D9GolygZERERlcbPzw+ff/45UlJSkJycjNTUVKSnp2PdunUICQmROh4RERHVUPk3/0TixgkwZNy2apcpneDXbxrc2w6SKBkR2ZrdClfr16+HSqXCqFGjEBMTg99//x2jR4+GVqst1zwKhQJdunTBF198AZ1Oh40bN6JJkya4desWfvnlFzulJyKiilIHNYH2uTmQqV2s2vOun0Qyi1ZERESS0Gq1SEhIQEJCAkaNGlXiuHr16uHUqVN49dVX4e3tDUEQIAgCPDw8MGzYMJw5cwaPPfaYA5MTERER/c2YHo+kDeORfyu6SJ9X+HD49HoHkCskSEZEtiQAEO01ecuWLfHBBx+gR48eAABRLLxUXFwcTpw4gTNnziA5ORkZGRnIyMiAs7MzvL294eXlhdDQUDzxxBN49NFHoVKpCsMKAtLS0rBo0SKsXLkSej1//HSkoKAgxMfHAwCCg4ORkJAgcSIiqmzUQU3hN2hWkaJV7rUTSImaB5gMEiUjIiIqv+r0+fe5557Dli1boNfrERQUhPT09GLH/fHHH2jVqpXlz3Fxcbh9+zaaNm0KNzc3AMBff/2F5s2bw2QyFTtHTVad/s4QERFVajIFvJ8cDbfHnirSlR9/ESlRH8CcmyVBMKKaxx6fge1afj516hT+9a9/oWXLlhg3bhz69+8PtVqN2rVrIyQkBP3793/g+YIgWI4vX76MVatWYd26dcjNzbVnbCIiqgB1cLPCopXK2ao99+pxpPx3HmAySpSMiIiIIiIiAAD79+8vsWjVq1cvtGrVCqIoIiMjAy+88AL27t0LAHBycsLHH3+Ml19+GaGhoRgwYAC2bt3qqPhERERE1sxGpP/4EQxp8fDq8jIE4e+FxZyCmyJg2BIkb58LQ2qshCGJqKLstlTgP506dQovvvgitFothg8fjq+++grXr1+3LDtR3CsvLw+//vorZs+ejdatW6NZs2b45JNPWLQiIqqE1CGPFF+0uvIHi1ZERESVwGOPPQZRFC2FqOIMHTrUcjx+/Hirsfn5+RgxYgSiowuX5enbt6/9whIRERGVUfaJKKTseB9mfZ5Vu8LTH/4vfgin+i0lSkZED8OhC35mZ2dj06ZN2LRpEwDA19cXwcHB0Gg08Pb2Rn5+PlJSUpCSkoJr167BbDY7Mh4REVWAOqQ5/AbOhEzlZNWeG3MUKd8tBMwsWhEREUnt3l7DZ8+eLXHMvaeysrKysHnz5mLHrF27FsuWLeM+V0RERFRp5F09jqRN78Jv4HQo3P0s7TK1C/wGzEDGr2uQfWqnhAmJqLwk3akuNTUVqampUkYgIqKH4FT7UWgGzoBMyaIVERFRZebnV/gjTknfv+rVqwetVgtRFHHo0CEYjcX/G37mzBkAQGBgoH2CEhEREVWAIeUGEje8A7/+70EdGGZpF2RyeHcfCaVPCNJ/+Qwwc49OoqrAIUsFEhFR9eNU5zFoBs4sUrTK+esIUr5bwKIVERFRJaJQFN6zqFKpiu1v06aN5fjUqVMlzpOZmQkAcHV1tWE6IiIioodnzsmEbstU5Fz8rUif2+NPw2/QbMjU/AxDVBWwcEVEROXmVPf/oBkwAzKl2qo9568jSN25iHcwERERVTL3nrQKDQ0ttr9du3aW45MnT5Y4j5ubG4DCPa+IiIiIKhvRqEfqrsXIPLSpSJ9z3f+D/7AlUHjxyXGiyo6FKyIiKhenei3gV1zR6vIhFq2IiIgqqXt7Ww0YMKDY/j59+gAAzGYzjhw5UuI8derUAQDodDobJyQiIiKynazfI5Hy3UKYDQVW7UqfYPgPWwJ1SHOJkhFRWTh8j6t9+/aV+xxRFJGfn4+srCxcuXIFx44dw08//QRRFO2QkIiISuJUrwX8+r8HQWG9zFDOpYNI3bUYEM0SJSMiIqIH+e6779CzZ0/07dsXw4YNw8aNGy19EydORJ06dSCKIvbt24c7d+6UOM+9J7P++usvu2cmIiIiehi5lw/BmKWDX//pkNfysrTLnd2gHTwX6T+vwt1zP0uYkIhK4vDCVUREBERRhCAIRQpPgiAAQJnadTodxo8fj8jISDsnJiIiAHCq3wp+/aZBUCit2nMu/obU75eyaEVERFSJff3115g6dSpq166NdevW4Y033sDVq1fRpEkTPPbYY5ZxS5cufeA8zz77LERRxLFjx+wdmYiIiOih6RNjkLhhHPwGzIBKW9/SLsgV8Hl6LBQ+wcj87Sv+pkFUyTi8cHXw4EGIooiAgADL+uqiKOL69etISUkBAGg0GtSvX99S3IqJiYFOp4O7uztCQ0Ph7OwMf39/bNq0CSEhIfjwww8d/TaIiGoU5/qtoCmmaHX3wn6k7V7GD3hERESVXF5eHgYPHoyff/4Z7u7uaNWqFVq1agXg7xsF165di71795Y4R8+ePREUFARRFPHLL784JDcRERHRwzJlpyLp63fh22cCXBq1terzaN0fSu9gpO76EKI+T6KERHQ/h+9x1aVLF8ybNw8ajQbp6el466234Ovri9DQUHTo0AEdOnRAaGgofH198fbbbyMjIwMajQbz589HixYt4OHhgcGDByM+Ph6CIOCDDz5AkyZNHP02iIhqDOcGraHpX0zR6vyvLFoRERFVISdOnEDLli3x7bffIi8vD4IgQBAExMbGYsKECRg5cuQDz58+fToAICkpCX/88YcjIhMRERHZhGjIR0rUPGT9sb1In0vD1vAfughyd40EyYioOAIAh24UVb9+fZw+fRoGgwHt2rXD1atXHzi+YcOGOHr0KFQqFVq1aoUrV64AKNwU+PTp0/Dw8MCnn36KMWPGOCJ+jRYUFIT4+HgAQHBwMBISEiRORET25tywNTTPToEgv69oFb0PaXtWsGhFRETVWnX+/CsIAjQaDfR6PTIzM8t0jouLCwDAaDRCr9fbM16VVZ3/zhAREVUXrs27w+epN4r81mHKyUDyjvehv829PInKwx6fgR3+xNWECRPg5uaGBQsWlFq0AoCrV69i0aJFqFWrFiZMmGBpj42Nxeeffw5BENClSxd7RiYiqpYElTOUPiFQBYRC6RMCQeVs1e/cqG0JRau9LFoRERFVcaIoIjk5ucxFKwDIzc1Fbm4ui1ZERERUpeVE/wJd5Hsw5d2xape7esF/yHy4NAmXKBkR3ePwPa6efPJJiKKIQ4cOlfmcAwcOAAC6d+9u1f7rr79i0qRJCAoKsmlGIqLqTF27Odxa9IZLo7YQZHJLu2g2ITfmKLLP7IZMXQuavpMgyK3/mbh77mek7fkIDn5Yl4iIiIiIiIjIZgriLyBpwzvwGzgTSp8QS7ugUEHzzERk+gQj6/Bm8PcPImk4vHAVGBhY4XP9/f2t/pycnAwAUKvVD5WJiKgmUGkbwKfXO1Bp6hTbL8jkcA3rCNewjhBF0bJR+z3ZZ39C+o8fgx/aiIiIiIiIiKiqM2YmIXHjBGj6ToJzvRZWfZ4dhkDpHYS0H1ZANBZIlJCo5nL4UoFZWVkAgE6dOpX5nM6dO1ude4+rqysAIC0tzUbpiIiqJ6e6/wftCwtKLFrdr0jR6s8fWbQiIiIiIiIiompFLMhB8rezkH36+yJ9rk06QztkPuSuXhIkI6rZHF64OnLkCARBwOTJk1G/fv1Sxzdo0ACTJ0+GKIr4/fffrfqaNWsGANDpdHbJWhaiKJbptX//fptcb/Dgwfjxxx9x+/Zt5OXl4caNG9iwYQPatGljk/mJqPpRaRtA028aZPftYVVWOZePIP2nT8CiFRERERERERFVO6IZ6Xs/Q/rezyCaTVZd6sBQ+L+0FEq/0n/HJiLbcXjhavny5RBFEV5eXjh27Bhef/11uLu7Fxnn4eGBN954A0ePHoWXlxdEUcTSpUutxvTu3bvYglZ1pFarsXPnTkRGRuKpp55CQEAAnJycULduXQwbNgxHjhzBe++9J3VMIqqEfHq9U+GiFQAofYLAohURERFJZeHChVY3BYaHF79h+vDhw8t8Y+Hw4cMd/C6IiIiosss+/T2St82GuSDHql3hroH/0EVwbtRWomRENY/D97g6fPgwZsyYgblz58Lb2xsrV67E8uXLcePGDcueVX5+fqhXrx5kMplluarp06dbFajq16+PXr16QRAE7Nmzx9Fvo4hVq1Zh1apVJfbn5OSU2FcWa9asQZ8+fQAAv/76K1asWIHbt2+jefPmmDp1Kho2bIi5c+ciMTERa9aseahrEVH1oa7dvMzLA5ZEpakLdUhzFMRF2ygVERERUdk8+uijGDdunNQxiIiIqIbIv3EaSRsnQDNgBpReAZZ2mcoJmn5TkXlgPe78sV3ChEQ1g8MLVwAwb948XL9+HcuWLYOfnx/kcjkaNmyIBg0aALDeWyU5ORlvv/02vvnmG6s5rl+/DqVS6dDcD5KcnIwLFy7YZe7OnTtj6NChAICdO3eiX79+MJvNAICTJ09i586dOHXqFOrUqYNFixZh27ZtRfYDI6Kaye3xXraZp0VPFq6IiIjIoQRBwBdffAGlUgmdTgetVlvmc5988kncvn27xP74+HhbRCQiIqJqyJAWh6SN46HpNxVOIY9Y2gVBBq+Il6H0CUbaT58AJqOEKYmqN0kKVwAQGRmJ7du3o1+/fujWrRseeeQReHkVbnSXkZGBCxcuYN++fYiKioJer5cqZqXw7rvvAgCMRiNef/11S9HqnrS0NEyaNAmRkZHw9vbGq6++WmRZRSKqeQSVM1xC29lkLpfQ9hBUzhD1eTaZj4iIiKg0Y8eORevWrXHp0iVERUVh6tSpZT43JiYGsbGxdkxHRERE1Zk57w5037wHn6feRK3m3a36ajXvAYVnAFKi5sGcd0eihETVm2SFKwAwGAzYunUrtm7dKmWMSs3V1RXdunUDAOzduxcJCQnFjtuxYweysrLg4eGB/v37s3BFRFC4+UKQyW0ylyCTQ+7mA2Ma704mIiIi+wsODsbcuXMBAKNHj0ZERIS0gYiIiKjmMRmR9sNyGFLj4BkxHIIgs3Q5hTwC/2FLkLJ9DgxpcRK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"text/plain": [
"<Figure size 1000x400 with 2 Axes>"
]
},
"metadata": {
"image/png": {
"height": 392,
"width": 855
}
},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"from sklearn.datasets import load_iris\n",
"import pandas as pd\n",
"iris = load_iris()\n",
"df = pd.DataFrame(iris.data, columns=iris.feature_names)\n",
"df['target'] = iris.target\n",
"df2 = df.query(\"target != 1\").copy() # label 1を除外\n",
"df2[\"target\"] -= 1 # ラベルを1と-1に揃える\n",
"X = df2[['petal width (cm)', 'sepal width (cm)']].values\n",
"Y = df2['target'].values\n",
"\n",
"import matplotlib.pyplot as plt\n",
"fig, ax = plt.subplots(nrows=1, ncols=2, figsize=(10, 4))\n",
"\n",
"ada1 = AdalineGD(n_iter=10, eta=0.01).fit(X, Y)\n",
"ax[0].plot(range(1, len(ada1.cost_)+1), np.log10(ada1.cost_), marker='o')\n",
"ax[0].set_xlabel('Epochs')\n",
"ax[0].set_ylabel('log(Sum-squared-error)')\n",
"ax[0].set_title('Adaline - Learning rate 0.01')\n",
"\n",
"ada2 = AdalineGD(n_iter=10, eta=0.0001).fit(X, Y)\n",
"ax[1].plot(range(1, len(ada2.cost_)+1), ada2.cost_, marker='o')\n",
"ax[1].set_xlabel('Epochs')\n",
"ax[1].set_ylabel('Sum-squared-error')\n",
"ax[1].set_title('Adaline - Learning rate 0.0001')\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"←は学習率0.01の場合のエポック数に対しての誤差平方和のlogをとったもの、 →は0.0001の時のエポック数に対しての誤差平方和\n",
"\n",
"ηをうまく選択しないと、うまく収束しないことがわかる。\n",
"\n",
"\n",
"<img src=\"https://drive.google.com/uc?export=view&id=1Dh-OctXkzWwoxTsYcAL45wBBU8ngUUa0\" width=\"50%\" alt=\"fig3\">\n",
"\n",
"学習率が大きいと、図のように極小値を目指すが極小値を飛び超えて対岸に登ってしまう。\n",
"\n",
"\n",
"### 2.5.2 特徴量のスケーリングを通じて勾配降下法を改善する\n",
"\n",
"機械学習アルゴリズムの最適なパフォーマンスのために特徴量のスケーリングを行う。\n",
"\n",
"今回は標準化 $ \\mathbf{x}'_j = \\frac{\\mathbf{x}_j - \\mu_j}{\\sigma_j} $\n",
"\n",
"これによりデータに標準正規分布の特性を与え、学習を素早く収束させる。\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[-1.02461719 0.71907625]\n",
" [-1.02461719 -0.4833924 ]\n",
" [-1.02461719 -0.00240494]]\n",
"[[-1.02461719 0.71907625]\n",
" [-1.02461719 -0.4833924 ]\n",
" [-1.02461719 -0.00240494]]\n"
]
}
],
"source": [
"# 標準化\n",
"X_std = np.copy(X)\n",
"X_std[:, 0] = (X[:, 0] - X[:, 0].mean()) / X[:, 0].std()\n",
"X_std[:, 1] = (X[:, 1] - X[:, 1].mean()) / X[:, 1].std()\n",
"\n",
"from sklearn import preprocessing\n",
"ss = preprocessing.StandardScaler()\n",
"X_std2 = ss.fit_transform(X)\n",
"\n",
"print(X_std[:3])\n",
"print(X_std2[:3]) # 同じ"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"# 前に実装した境界プロットの関数\n",
"\n",
"from matplotlib.colors import ListedColormap\n",
"\n",
"def plot_decision_regions(X, y, classifier, resolution=0.02):\n",
" \n",
" # マーカーとカラーマップの準備\n",
" markers = ('s', 'x', 'o', '^', 'v')\n",
" colors = ('red', 'blue', 'lightgreen', 'gray', 'cyan')\n",
" cmap = ListedColormap(colors[:len(np.unique(y))])\n",
" \n",
" # 決定領域のプロット\n",
" x1_min, x1_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n",
" x2_min, x2_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n",
" # グリッドポイントの生成\n",
" xx1, xx2 = np.meshgrid(np.arange(x1_min, x1_max, resolution),\n",
" np.arange(x2_min, x2_max, resolution))\n",
" # 各特徴量を1次元配列に変換して予測を実行\n",
" Z = classifier.predict(np.array([xx1.ravel(), xx2.ravel()]).T)\n",
" # 予測結果を元のグリッドポイントのデータサイズに変換\n",
" Z = Z.reshape(xx1.shape)\n",
" # グリッドポイントの等高線のプロット\n",
" plt.contourf(xx1, xx2, Z, alpha=0.3, cmap=cmap)\n",
" # 軸の範囲の設定\n",
" plt.xlim(xx1.min(), xx1.max())\n",
" plt.ylim(xx2.min(), xx2.max())\n",
" \n",
" # クラスごとにサンプルをプロット\n",
" for idx, cl in enumerate(np.unique(y)):\n",
" plt.scatter(x=X[y == cl, 0],\n",
" y=X[y == cl, 1],\n",
" alpha=0.8,\n",
" c=colors[idx],\n",
" marker=markers[idx],\n",
" label=cl,\n",
" edgecolor='black')"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 480x360 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 351,
"width": 470
}
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 480x360 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 349,
"width": 470
}
},
"output_type": "display_data"
}
],
"source": [
"ada = AdalineGD(n_iter=15, eta=0.01)\n",
"ada.fit(X_std, Y)\n",
"\n",
"plot_decision_regions(X_std, Y, classifier=ada)\n",
"plt.title('Adaline - Gradient Descent')\n",
"plt.xlabel('petal width [standardized]')\n",
"plt.ylabel('sepal width [standardized]')\n",
"plt.legend(loc='upper left')\n",
"plt.tight_layout()\n",
"plt.show()\n",
"\n",
"plt.plot(range(1, len(ada.cost_) + 1), ada.cost_, marker='o')\n",
"plt.xlabel('Epochs')\n",
"plt.ylabel('Sum-squared-error')\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"収束し、分類の境界がしっかり引けているのがわかる。\n",
"\n",
"同じ学習率で先ほどうまく収束していなかったことからも、標準化の効果が出ていることも確認可能。"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 480x360 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 351,
"width": 470
}
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 480x360 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 350,
"width": 470
}
},
"output_type": "display_data"
}
],
"source": [
"ada1 = AdalineGD(n_iter=15, eta=0.01)\n",
"ada1.fit(X, Y)\n",
"\n",
"plot_decision_regions(X, Y, classifier=ada1)\n",
"plt.title('Adaline - Gradient Descent')\n",
"plt.xlabel('petal width [standardized]')\n",
"plt.ylabel('sepal width [standardized]')\n",
"plt.legend(loc='upper left')\n",
"plt.tight_layout()\n",
"plt.show()\n",
"\n",
"plt.plot(range(1, len(ada1.cost_) + 1), ada1.cost_, marker='o')\n",
"plt.xlabel('Epochs')\n",
"plt.ylabel('Sum-squared-error')\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"↑標準化してないデータでやってみてもやっぱりダメでした。\n",
"\n",
"あとは、前回分類できてなかったデータでやってみる。"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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wmJdfflmTJk1yuw0fPtyrzx45cmSBw1wLIzs7WzNmzJAkc4h7fhaLRYMHDzZfv/zyyx6Htz7//PM6deqUT+IbMmSIKleuLEmaOnWqli1b5rH8tm3bzPWGq1WrpltuucVj+czMTI/rMmdmZuqzzz4zX7s7z0sCx5mo7W3qyNdtXbFiRfP5kSNHihz3qFGjzKXIVqxYoX/84x9Fqqd169bm9+j27ds1btw4j+XPnj2rv//97+brBx54oMDP8MV3JoDC4x5WACVC7dq1dcMNN5ivP/30U5flpk+fbl6UP/TQQ3rxxRddJgAVKlRwmgVz+vTpHj8/JydHM2fO1IsvvliouBs3bqwOHTqoYcOGqlSpksqWLes0U6Z9zcRq1aqpTp06Sk1NLVT9RXXu3Dl98803HsusX7/efJ6QkOCyzG233WY+nzVrllef/cMPP5gXv127dnX6nGAQExPj9NqbdVQHDhzoto2k3OWXJk6c6LGO3377Tdu2bfMqRkeVKlVSp06ddPXVV6tq1aqqUKGCuXasJPPeOklq27btZf/uzZs3V82aNSXl3ndd0L9jRkaGvvrqKz344IOFjjW/op4/jz/+uKTc88fV/aR2y5cvL3ApIm/O85LAcSbq/Oew5Pu23rdvn/l86NChWrhw4WV/RPSGYyLs7n5Obzj+fHPnztXFixcLPOaHH34wn7v6Y44jX31nAig8ElYAJcJDDz1k/hV+69atWrt2rctyc+bM0bvvvqty5cqpbt26uuGGG7R06dLLyrVu3dqsLz09XVu3bi0whpUrV3od72233aZXXnlF11xzjdfHVKtWzW8J6/bt25WVleWxjGMvmz2xdlSlShU1bdrUfD1q1CivegdbtGhhPi/MMin+kr/3MDo62mc9ip64O6fdsS8/079/f3MCpoJUq1btsn1t27Y1n9uXYCrIypUrfZKwOk5u9fDDD3u11EidOnXM5wWdPxs3biywvoLO85LCMUl19W/o67b+/PPPNXbsWIWHh+u2227Tli1blJSUpG+//VYbNmzw6rsgLi5O9evXN187Lh1TWI4/X+fOnTVp0qQCj3H842FB55IvvjMBFA0JK4ASwXF4r6fe0JMnT+qbb74xZ6wdOHCgy4S1evXq5nNvk8T9+/d7VW7MmDF6+eWXvSrryFWvSHFxHD7oTnZ2tvk8IiLisvftvXJ2RZnp2NXQRW907NjRaT1eV6ZPn65ffvml0HXnn0k3Nja2wITV8aLbrrDnQWGGVbZt21ZLly69bPhyQVydY46/C469Zp54+7vgSXR0tNOw0oKG8LtS0PnjzXnumIS4Os9LCscEKf85XBxtvX37dj377LOaMGGCwsLC1KRJE73xxht64403lJ6erhUrVshms2nevHnasWOHyzrtszRL0vnz53Xo0KFCx2XnOBNxz549C32bhS/OpYK+MwEUDQkrgKDXsWNHNW/eXFLusjP2e/LcmT59upmw3nXXXXryySedhstJMpexkXLvZfKGN0NDb7zxRqckZdmyZZo2bZrWrFmj/fv36/Tp07pw4YL5fnJysqxWqyQ5DeMsbr64T9IXPQj2+18Lq3nz5k5LQ7iyZs2aIiWse/fuveyzfJGgFeTcuXNelYuMjNQXX3xhJquHDx/W5MmTlZycrF27dun48eNOdQ0cOFBTp06V5PocK67fhYL44/zx5f3Awc5x6Pfhw4ed3iuutn733Xe1Zs0avfjii7rpppvMUSuVKlXSLbfcoltuuUXjxo3T0qVLNXLkSG3atMnpeMc/oOT/ji6sK/0ZOZeA4EXCCiDoOU62FBYWdllC4Ul0dLT69+9vXrDbOV4clS9f3uu6CvLcc8+Zzz/88EPz/i93/Nmr6muOScuJEycK3dsXrFavXq3z58+bw2w7duyoJUuWBDiqS/r166cGDRpIyu3p7NChg8c1JAs6x4rrd6Eg+ZPeSpUqsfZkEUVERDgN7c5/+0JxtvVPP/2kW2+9VVWrVlX37t3VrVs3devWTW3btjUT2J49e2rVqlW66aab9PPPP5vHOo5ccPzDSVE4/ox9+vTRggULrqg+AMGDWYIBBLWIiAjdc889V1SHq+FvjsMvvb2PsqByYWFh6t69u6TcSZq8maCpXr16Xn12MHKczKZy5cou748sLtOmTZPFYvG42Wc4LazMzEytWLHCfH2l55+vOQ51/Oc//+kxWZWk+Ph4j+87/i54ez764t7j9PR0nT9/3nzduHHjK66ztOrTp4/Tfcz5ZwD2R1sfO3ZMX375pUaNGqUOHTqoRo0aGjZsmHl+lS9fXh9++KHTMY7fIeXKldNVV11V5M93rItzCQgtJKwAgtqf/vQnVa1aVZJ04cIFrVy50qttzZo1Zh3du3e/7KJ9w4YN5oyWFStWdJoIyJ1OnTp5fL9atWoqW7asJCktLU1Hjx71WL558+ZO9w+WNIcPH3bq7b755psDGI1vOV5Yt2zZUjfeeGMAo3HmeK/e5s2bCyx//fXXe3z/119/NZ83a9bM6V5Hdwr6XfCW45DtXr16+aTO4hDsw0FHjRplPj9y5IjL+/b93dbHjh3Te++9pzvuuMPc17JlS6f7vdPS0rRnzx7zteNM8IW1atUq83kwn0sACo+EFUBQcxwO/M0336hz585ebYmJieZEH2FhYZdN0HP69GmnWVkLmvE0PDxc999/v8cyjssoREVFFfizPfHEEwWWCXYLFy40n48cOTKAkfjW3LlztXPnTvP1lClTgmb4tuN5VtAQ3muuuUYdO3b0WGbr1q3mPY8RERG69957PZavWLGi+vTp42W0njkuE/L444+bf/AJNo69k8E2mc5f/vIXXXfddebrd955x+W9yIFq65UrVzrNnus40ZIkffvtt+bzokzcZuf48/Xs2VMtW7Yscl3FzfEe86Lexw+UJiSsAIJWtWrVdOutt5qvC5psKT/H8q6GBX/88cfm8+HDh6tRo0Zu63r22WfN+wbdOXbsmDmTZGxsrDk82JXrrrsuJBLW8ePHmzNjJiYmasyYMV4fm//CNZhcvHhRgwcPNmeQrV+/vr7//vug6BHfvXu3+dxT4hgVFaUpU6YUWJ9hGEpKSjJfjxkzxhzV4Mq4ceN8lrx/+OGHOnHihKTcYcbvv/++18dWrVrVbxOVOSZctWvX9stneuMvf/mLXnvtNfP11q1b3a736+u29nSOOIqNjXW6PzX/bNjvvPOOOdrluuuu0+jRo72Oy9Hq1avNZXHCwsL06aefen2eRkREKDY2tkifWxTBej4BwYqEFUDQeuCBB8zejPT0dKfePG84JqyNGzd26oWQcu+D3L59u6TcSWQWL16s9u3bX1bP8OHD9frrryszM9Pj5xmGoUWLFpmvk5KSlJiYeFm5AQMGaNGiRSpTpswVz4wZaLt379arr75qvn755ZeVlJTk9iIsLCxMPXv21LRp07Ru3Tp/hVkkP/30k9NQy44dO2rz5s167rnnPN6vW6lSJQ0dOlSPPvposcTl2JP08MMP65lnnrksmWjYsKGWLFmi9u3be3WOTZgwwRzCXqtWLS1ZskQNGzZ0KhMREaE33nhDTzzxRIG/C97KyMhwauMhQ4bo66+/dlrfN79OnTpp0qRJ2rt3r1cjGXxh9+7dZjsmJCS4/L32l+joaN1zzz1atWqV/vGPf5g9dEePHtXtt9/u9t/b1209Z84ccwkxdz39devW1axZs8ze3B07dmjXrl1OZXbu3Knx48ebr8eNG6eJEye6XWamQ4cOSkpKcnkbx7Bhw8yJnNq0aaNffvnF4/I2DRs21AsvvKA9e/aoS5cubsv5muP6wHfffbffPhcoqRiHACBoOQ4H/uKLLwp9kbxr1y6tWrVK1157rVmf4wyVmZmZ5jqt0dHRatCggX755RetXLlSW7duVbly5dStWzdzIppnn31W77zzjsfPfOWVV9SnTx+VL19e9evX18qVK7VixQrt2LFDkZGR6ty5s9lTO2XKFDVp0sRc1qakGjt2rBISEjRo0CBJ0qBBg/Tggw9q/fr12rZtm06fPq2KFSsqPj5ebdq0MXs9CrrHNxj861//0rFjx/Txxx+rfPnyql69ut58802NGzdOGzdu1K5du3Ts2DEZhqFKlSqpUaNGatWqlSIjI806zp8/r6+//tpnMS1ZskQ2m01Wq1VhYWEaP368nnrqKa1bt07p6enmH2fKlCmj1NRUvfvuu3rrrbc81nn06FE9+uijmjt3rsqUKaNrrrlG27Zt0//+9z/t3r1bFStWVI8ePRQXF6cLFy7oxRdfLLBOb02bNk0NGjTQ//3f/0mSbr/9dt12223atGmTNm3apIyMDEVHR6t27dpq165dkdfuvRKGYWj+/PnmrQPJycn67rvvtG/fPrN38Pjx43rjjTeu+LMaN26sSZMmOe2rUKGCYmNjlZCQoJYtW142jPTnn3/WQw895NT77oov2zosLEy9e/dW7969deHCBW3atEk7duxQenq6YmJiFB8fr06dOpkzBWdnZ2v48OEu63rhhRfUrFkz837XYcOG6bHHHtPPP/+slJQUZWdn66qrrlL79u3Ne7hdfRdv3rxZ9913n2bPnq3o6Gg1a9ZM33//vfbt26fVq1fr6NGjioyMVPXq1dWmTRufTB5WFF988YU5emjcuHG65ZZbtHnzZqf/41577TWdPHkyIPEBwchgY2NjC7atVatWhqMbbrihSPU8/fTTZh0nTpwwypYte1mZHj16GIcPHzbcyczMNJ544gkjPj7e3Ldnzx63n3nHHXcYp0+fdlufYRjG5MmTjcjISCM5Odnc1717d5f1JSUlmWUGDhzosszAgQPNMklJSS7LdO/e3SyTnJzsVfs5KqjsU089ZRw7dszjz22Xk5NjzJ8/P+Dnmbdb06ZNjZkzZxrZ2dle/XyGYRjp6enGRx99ZCQkJLitd8yYMWb5MWPGeB1PXFycsWbNGo+fv2nTJqN58+ZenRv27d577zUyMjI8/kx9+/b16lzy9vfFvg0YMMBITU31un1XrlxpREZGXnGbevt7UadOHY/xefMzenMeFMbatWuNRx991AgLCyvU5/mirRcsWOD18YcPHzbuuOMOjzFZLBbj1VdfNc6dO1dgfVlZWUbTpk3d1tW6dWtj9erVXse3e/duo02bNkU+Nxw3R+7KhIeHG0uXLvUYU3x8fJHPJza2UNvoYQUQlBx7Vw8ePGjem1RYs2fP1oQJE8x7lO68807Nnj3bqUxycrKaN2+uYcOGqW/fvmrQoIHCwsKUmpqqpUuX6oMPPtDmzZsLXB7EbsGCBWrZsqWeeeYZ3XzzzapXr56ys7N18OBB/fTTT5o6deply06Egn/961+aNm2aHnroId10001q06aNqlevrnLlyunUqVNKTU3V5s2bZbPZtGjRIqWmpgY6ZK9t375d999/v/72t7/ptttu0w033KDmzZuratWqqly5ss6dO6cTJ05o//79WrNmjX7++Wd98803TpOr+FJaWpquu+46PfLII7r33nvVsmVLlS9fXmlpadq+fbtmz56tGTNm6Ny5cwVOuuRo1qxZWr58uYYPH67evXub5+7+/fu1aNEiTZ48WSkpKR7vzy6quXPn6quvvtK9996rXr16KTExUdWrV1eFChV05swZHThwQFu3btWyZcu0aNEip0mx/CE1NVVt2rTRsGHDdPPNN6tp06aKiYkp9kmYsrOzlZGRoYyMDB0/flwbN27UmjVrtGzZMv32229FqtMXbX3HHXeoXbt26tmzp6699lo1b95cderUUXR0tDIzM3XkyBFt2LBBixYt0syZM53WXHXFMAy9+OKLmjx5sgYNGqSbbrpJjRo1UrVq1ZSdna20tDRt3rxZS5cu1ezZs3Xw4EG3dW3YsEGJiYm66aabdOedd6pLly6qVauWYmNjzdh27NihlStXavHixU7LWPlDTk6OevXqpSFDhqhfv35q1aqVqlSpErSTjgGBZlFu5goAAAAAQFBh0iUAAAAAQFAiYQUAAAAABCUSVgAAAABAUCJhBQAAAAAEJRJWAAAAAEBQImEFAAAAAAQlElYAAAAAQFAiYQUAAAAABCUSVgAAAABAUCJhBQAAAAAEJRJWAAAAAEBQIs72prEAACAASURBVGEFAAAAAAQlElYAAAAAQFAiYQUAAAAABKUygQ4AxSMyMlKtW7eWJKWlpSknJyfAEQEAAAAIVeHh4YqLi5MkbdiwQRcuXPBJvSSsIap169ZavXp1oMMAAAAAUMokJiZqzZo1PqmLIcEAAAAAgKBED2uISktLM58nJo7SoUMnAhgNAAAAgFBWs2ZlrV79T0nOuciVImENUY73rB46dEIHDhwLYDQAAAAASgtfzp/DkGAAAAAAQFAiYQUAAAAABCUSVgAAAABAUCJhBQAAAAAEJRJWAAAAAEBQImEFAAAAAAQlElYAAAAAQFAiYQUAAAAABCUSVgAAAABAUCJhBQAAAAAEpTKBDgDBq0aNimrduq5ataqjGjUqqVy5iECHhGJw9uwF7dqVpl9+2a3Nmw8oJ+dioEMCAAAAJJGwwo0777xGd93VQZIhKUfSxbznCDWVK0eodu3Guv76ptqx47DeeutbZWZmBTosAAAAgIQVl3vsMau6dm0sKVNSliRDFy5c0Nmz52QYJK2hJCwsTNHR0SpTJlxSuJo0qaHnnrtVb7zxDT2tAAAACDgSVjipU6eKunZtIum8DOOCFi36XitWrNa+famBDg3FJCIiQtdc01qDBt2n6GipSZOr1KJFLW3cyL85AAAAAotJl+DkhhuaK3f4b5bmzJmv2bPnkayGuKysLK1atVZTp34m+/Dvjh0bBDosAAAAgIQVzpo2vUpSjgzDUHLy8kCHAz9at26DcnJyJGWrUaMagQ4HAAAAIGGFs+jospIMZWSc0tmz5wIdDvwoKytLp0+fkSSVLx8Z4GgAAAAAElbkY7FYJBm6eJEJd0qj3H93JtYCAABAcCBhBQAAAAAEJRJWAAAAAEBQImEFAAAAAAQlElYAAAAAQFAiYQUAAAAABCUSVqCEqF69mnr37qWxY1/QokVzdeTILhnGSRnGSSUlvR/o8AAAAACfKxPoAAB4Jy3t90CHAAAAAPgVCauPxcTE6LbbblNiYqI6dOig2rVrq3r16oqKitLJkye1ZcsWLVq0SB9//LGOHz8e6HBRQu3bt19bt+5Qr149Ax0KAAAAUGxIWH2sY8eOmjVrlsv34uLiFBcXJ6vVqueee04PPviglixZ4ucIUVKNHfsPrV69TqtXr1Na2hHFx9dTSsqGQIcFAAAAFBsS1mKwb98+JScna+3atdq/f78OHTqksLAw1alTR/3799ddd92l6tWra8GCBUpMTNTGjRsDHXKQyJaU6YN6yioUT+2XX34j0CEAAAAAfhV6V/UBlpycrPj4eLfvz507V3369NH8+fNVtmxZjRkzRv379/djhMEsU+V1UeVlFLmGs7LorDLFqQ0AAACUfFzV+9jFixcLLPPVV19p69atat68ua6//no/RFVylJehOBmKLcKxJyWlSTrr45gAAAAABAYJa4CcOXNGklSuXLkARxJ8YiW9q/BCHzdCOUrzfTgAAAAAAoR1WAOgWbNmatu2rSRp27ZtAY4GAAAAAIITCaufREVFqVGjRho1apSSk5NVpkxu5/a7774b4MgAAAAAIDgxJLgYDRw4UFOnTnX7/ltvvaUZM2YUqe7atWt7fL9mzZpFqhcAAAAAggUJawCsX79ejz/+uH755Zci15GamurDiBAotWrVVOXKrqeYOnHipA4ePOTniAAAAIDgQcJajObPn6+WLVtKyh0S3LBhQ91999266667NGPGDI0cOVILFy4McJQIpNdee0mDBt3v8r2pU2dq8OAn/RwRAAAAEDxIWItRenq60tPTzddr1qzR7Nmz9eCDD2ratGn66quv9Oc//1nTpk0rdN116tTx+H7NmjW1evXqQtcLAAAAAMGChDUAPv30U91+++2655579N577+mrr77SyZMnC1XHgQMHiik6+NPgwU/SiwoAAAC4wSzBAfLVV19JkipUqKBbb701wNEAAAAAQPAhYQ2QI0eOmM/j4+MDGAkAAAAABCcS1gBxXJbm9OnTAYwEAAAAAIIT97AGyIABA8znGzduDGAkKCm6dOmkRo0amK+rVatiPm/UqL4GDnSebXjatJl+iw0AAAAoDiSsPjZw4EDNmjVLmZmZbsuMHDlSvXv3liTt2bNHy5cv91d4KMEeeeRht0vgdO3aWV27dnbaR8IKAACAko6E1cdefvlljR8/Xl988YWWL1+uXbt26fTp04qJiVGrVq30wAMPqGvXrpKkzMxMPfroo8rJyQlw1MHlpKQRKnybFG6eZQAAAADBjoS1GFStWlWPPfaYHnvsMbdl9u/fryFDhmjp0qV+jCz4nZVFaZLSruD4UMUSOAAAAChtSFh9rGfPnrrxxhvVo0cPNW/eXDVq1FDVqlV1/vx5/fHHH/r111/1zTffaM6cOTp37lygww0yZXVWmTrrg3oAAAAAlHwkrD62e/duTZkyRVOmTAl0KCVQGXFKAgAAALBjWRsAAAAAQFAiYQUAAAAABCUSVgAAAABAUCJhBQAAAAAEJRJWAAAAAEBQImEFAAAAAAQlElYAAAAAQFAiYQUAAAAABCUSVgAAAABAUCJhBQAAAAAEJRJWAAAAAEBQImEFAAAAAAQlElYAAAAAQFAiYQUAAAAABCUSVgAAAABAUCJhBQAAAAAEJRJWAAAAAEBQImEFAAAAAAQlElYgwKpXr6bevXtp7NgXtGjRXB05skuGcVKGcVJJSe8HOjwAAAAgYMoEOgCgtEtL+z3QIQAAAABBiR5WIIjs27dfixcvDXQYAAAAARLj5+MQ7OhhRRCqLOmEH48LrLFj/6HVq9dp9ep1Sks7ovj4ekpJ2RDosAAAAPwsQdJQSYsl2QpxnFVSL0kfSkrxcUwINHpYEWSuljRD0t2FPO7uvOOu9nlExe3ll9/QwoWLlZZ2JNChAAAABEiCcpPVspLuUG4S6g1rXvmyeccn+DwyBBYJK4LI1ZLekhQl6Ql5n7TenVc+Ku/4kpe0AgAAlF4xupSs2nmTtFrzytnZk1aGB4cSElYEicq6lKzaeZO02pNVO3vSWtmn0QEAAKC4nFLuMOD8PCWtVjknq3aL8+pDqCBhRZA4IWmqi/2ektb8yardVJXEe1kBAABKL5ukBS72u0parXKdrC5Q4e59RUlAwoogMkfSBy72u0pa3SWrH+TVAwAAgJLFpoKTVqtIVksXZglGkLEnm/mT0Scc3idZBQAACE22vMf8Sak9aa3o4hiS1VDm04R16dLiXz/SMAzdeOONxf45CCRPSesASdVcHEOyCgAAEBpseY/5k1aS1dLIpwmr1WqVYRiyWCy+rFaSzHoNw/B53QhG7pJWklUAAIDQZ8t7dDX8145ktTQoliHBa9as0ZkzZ3xaZ3R0tDp06ODTOhHs3CWtjkhWAQAAQpNN7ocBZ4hktXQoloR10KBB2rp1q0/rbNGihTZu3OjTOlESzJH7YcBHRbIKAAAQqqxynawqb79VJK2hj1mCEeTulutkVXn7C1qnFQAAACWPVZ6HA0ue12lFqCBhRRBzNxuwI0/rtAIAAKDkscp1sprhYh9Ja6jz6ZDg8PBwX1bnZMuWLcVaP4KNu2T1qC7vcXVc8gYAAAAll1We11l19b79ta2YYkIg0cOKIORpndUBeY/50dMKAABQslnlOVlV3uMCF2XoaQ1VxTLpElB0npJVew+qp3VaHd8vGbp06aRGjRqYr6tVq2I+b9SovgYOvN+p/LRpM/0WGwAAgH9YVXCyamd/TU9raUDCiiDiTbJqFzpJ6yOPPKxBg+53+V7Xrp3VtWtnp30krAAAILTESOrlYr+ndVbt+/Mnrb0krZV0yheBIQgwJBhBorKkQS72e1pndY5cDw8elFcfAAAAgt8pSR9KynTY5ylZtbPJeXhwZl49JKuhxKc9rEuXLvVldZIkwzB04403+rxeBJsTkp6T9JakqLx9npJVu/w9refy6jnh6wCLzeDBT2rw4CcDHQYAAEAApSg32RwqabG8H9ZrL9cr7/gU34aFgPNpwmq1WmUYhiwWi9syhmE4vbaX9XY/QtlmXUpap8r7Yb32coPyjt/s68AAAABQ7FIkva7C95DaxDDg0OXThPXHH3/0mGDWqlVLjRs3lpSbiKakpOiPP/6QxWJRXFycEhISZLFYZBiGduzYoUOHDvkyPJQImyU9oML3kM6R9N8iHAcAAIDgUdSkk2Q1VPk0Ye3Ro4fb93r16qWZM2cqIyNDr732mpKSknTs2DGnMlWrVtXgwYP1wgsvKC4uTiNHjtTixYt9GSJKhKImnSSrAAAAQCjxy6RLjRs31ty5c2WxWNSlSxe9/fbblyWrknTs2DG9/fbb6tKliywWi+bMmWP2yAIAAAAAShe/JKzPPvusoqOj9eabb2rLli0Flt+6davefPNNVahQQf/v//0/P0QIAAAAAAg2fklYb7rpJhmGoR9++MHrY5KTkyWJGYIBIGTF+Pm4YEQb0AYAnPGdAGd+SVhr1qxZ6GPskzddddVVvg4HABBwCZJekGQt5HHWvOMSfBpNYCSINkgQbQDgkgTxnYD8/JKwnjx5UpLUvXt3r4+xWq2SpPT09OIICQAQMAnKXWevrKQ75P2FiTWvfNm84xN8Hpn/JIg2SBBtAOCSBPGdAFf8krAuX75cFotFzz//vFeTKDVu3FijR4+WYRhavny5HyIEAPhHjC5dkNh5c2FizStnZ78wKYlDwGgD2gCAM74T4J5fEtYJEybo4sWLqlSpklauXKkRI0aocuXKl5WLjY3V8OHD9fPPPys2NlYXL17U+PHj/REiAMAvTklytVyZpwsTq5wvSOwWq2Suu0cb0AYAnPGdAPd8ug6rOytXrtTo0aP11ltvqVKlSho/frzefvtt7dmzR2lpaTIMQzVq1FD9+vVlsVhksVgkSaNHj9aqVav8ESLyCQvzy98yEGT4d4d/2PIe819o3JHvfcn9BcmCfOVKGlveI21QutsAwCW2vEe+E+DMLwmrlNvLmpKSookTJ6pmzZqyWCxq2LChGjRoIElmkipJhw4d0rBhwzRv3jx/hYc8Z89eUOXKESpfvrzCwsJ08eLFQIcEP7FYLIqKKifJonPnLgQ6HIQ8W96jpwsTq4v3pdC5ILHlPdIGpbsNAFxiy3vkOwGX+C1hlaQvv/xSCxYs0J133qkbb7xRrVq1UuXKlWWxWHT8+HFt3LhR33//vebPn6/s7Gx/hoY8hw6dVO3aFRURUUbNmjXWli3bAx0S/KRu3dqKjIyUFKa0tIxAh4NSwZb36OrCxCqpootjQu2CxJb3SBuU7jYAcIkt75HvBOTya8IqSdnZ2fr888/1+eef+/uj4YVVq3arQ4f6ksJ0yy03aOvWHeYSQwhtnTsnSrJICteGDamBDgelhi3vMf+FSWm6ILHlPdIGpbsNAFxiy3vkOwF+mnQJJcevv+5TVla2pLJq27aVRo16XC1aNOXexhBWvnyUeve+SbfddqOkCEkWbdy4P9BhoVSxKfeCw5NQvyCxiTawiTYAcIlNfCdACkAPq6MqVaqofPnyOnjwIPdKBonMzCy9995SDR9+k8LDo9S2bRu1bdtKWVnZOnv2LP9OISY8PFwxMRXy7iGPkBSpL75YrT/+YEgw/M0m90O9MlQ6Lkhsog1sog0AXGIT3wnwa8IaFhamhx9+WIMHD1ZiYqIiIyNlGIZat26trVu3muV69+6t66+/Xunp6Xr99df9GSIkrV+/VxMn/ldPP91TERHRknIUEZGjSpWiJTE8OLRYZB8GLIVp+fId+uqr9QGOCaWTVa4vSJS336rQvzCxijawijYAcIlVfCfAbwlr9erVNX/+fF177bVOMwK7smfPHi1YsECGYWjhwoX67bff/BQl7Nav36snn5yutm3r6dprG6hmzViVLx8Z6LDgY4Zh6PTpTG3ffkjJyduUmno80CGhVLLK9YyPjlwtaxBKrCq9bRCj3DUTrSpcG9iPAxCarCq934tw5JeE1WKxaMGCBerYsaMuXryouXPn6scff9R7773nsvyWLVu0YsUKderUSX379iVhDZDMzCytWrVLq1btCnQoAEKWVa4vSDJ0+V/VQ/XCxKrS2wYJkoZK2iepsYv33bVBc0n1JH0oKaX4wgMQIFaV3u9F5OeXmXQefvhhdezYUVlZWerdu7fuu+8+ffDBBx6P+frrr2WxWNS1a1d/hAgA8Dur3K+l97JcT7ZhX9YgVFhVetsgQbnJajVJNyi3x9SRuzaIyStfLe/4hGKMEYD/WVV6vxfhil8S1vvuu0+GYejDDz/UkiVLvDpm/frc++iaNm1anKEVi3bt2umvf/2rFi1apH379un8+fM6deqUtm/frqSkJJJwAPBq4XebQvvCxKrS2wYxupSsxubti9WlpNVdG8TkK29PWvMnuwBKJqtK7/ci3PHLkOC2bdtKkhYsKGhq6kvS0tIkSVWrVi2WmIqLzWZT9+7dL9tftmxZNWnSRE2aNNGgQYP0ySef6JFHHlFWVlYAogSAQLKq4AsSO/trVwvIO75f0lhVutvglHKHATfKtz9W0jq5boPmyu1ZdVWee1mBks+q0v29CHf80sMaG5v711B7EuqNiIgISSpxy6jUrl1bknTgwAG988476tevnxITE9WpUyeNGjVKqampknKHSU+dOjWAkQJAIMRI6uViv6e19Gxy/df0XiqZPWu0QW7M9SSdzLf/pHLvZbXm22/N2++qfD2VzDYAcAnfi3DPLwnriRMnJBWut9Q+FPjIkSPFElNx2bZtm+6++27Vq1dPo0aN0pdffqk1a9Zo1apVeuedd9S2bVtt375dknT//fczPBhAKXNKuRPlZDrs82bhd5ucL0wy8+opiT1rtMGlNjiqS0noSV36WRyH9ll1qdfkVL7yR1Vy2wDAJXwvwj2/JKxbtmyRpEIlZ/fff78Mw9DatWuLK6xi8ac//Ulz58512zN87NgxPfvss+br/v37+ys0AAgSKbp0YeLNBYmdLa+8/YIkxeeR+U+KaIMUXUpaf9DlF5h3KHeClfxD/k7llbcnqynFGCMA/0kR34twxS/3sC5YsEBWq1VPPvmk/vWvf5k9ru4MGjRIvXr1kmEYmjdvnj9C9CubzWY+b9iwYeACAYCASZH0ugr/V3CbpLVFOC4YpYg2SNGlNrDq8uQ0//IV0qULWdZhBUJPivheRH5+6WH98MMPdfDgQcXFxem///2vWrRo4bJcnTp1NHHiRH300UcyDEM7d+7UzJkz/RGiX0VGRprPS9o9ugDgO0W9sAilCxLa4NLPYpPr+9EcOfa6hFIbALiE70U480sP6/nz59W3b1/98MMPatu2rTZs2GDexylJkydPVvXq1dWkSRNJksVi0alTp9S/f38ZhuGPEP3KcRbhbdu2BTASAACCiU25Pa2uelYzxMyfAFD6+CVhlaQ1a9bouuuu06effqpWrVqpWbNm5ntdunSRxWIxX2/dulX33HOPNm/e7K/w/MZisej55583X8+ZM6dI9dhnI3anZs2aRaoXAIDAscp1sqq8/VaRtAJA6eK3hFWSNm3apLZt2+q2225Tnz591KFDB8XFxSk8PFzHjh3T+vXrtWDBAn3xxRch2bMqSaNGjdK1114rSfryyy+LPKmUfXkcAABCg1Wu12B0xBqLAFDaWCSFZmYYhK6//np9//33ioiI0B9//KHWrVsXam1aR4VJ6OvUGaQDB44V6XMAACh+VrlOVjPkeeIlAECwqF27qlJTp0rKnZvowIEDPqnXrz2spVmLFi00b948RURE6Pz587r77ruLnKxKuSeBJzVr1tTq1auLXD8AAP5hletk1Z6UunqfnlYAKC38krB269ZNknTo0CH9/vvvXh0TFRWlDh06SJKWLVtWbLH5Q0JCgpYsWaIqVaooOztb9913n3788ccrqtNXf7EAACBwrPKcrMrhkaQVAEojvySsNptNhmEoKytLTz75pJKSkgo8pn79+rLZbLp48aIiIiL8EGXxqFmzpr7//nvVrl1bFy9e1JAhQzR//vxAhwUAQIBZVXCyamd/TdIKAKWNX9ZhtYuMjNRHH32k8ePHe32M4+zBJU3VqlX13//+Vw0bNpQkDRs2TNOnTw9wVAAABFqMpF4u9nu6N9Um1+u09sqrDwAQivyasO7fv18Wi0UjRozQwoULFRMTuv/BVKxYUYsXL9bVV18tSRo9erTef//9AEcFAEAwOCXpQ0mZDvu8mUjJJuekNTOvnlM+jA0AEEz8mrD269dPc+fOlcViUa9evbRixQo1aNDAnyH4RVRUlBYuXKj27dtLkl599VW9+eabAY4KAIBgkqJLSWthZv215ZW3J6spPo8MABA8/Jqwnj17Vvfee6/Gjh0rSWrWrJl++eUX9ejRw59hFKuIiAjNmzdPXbt2lSS98847eumllwIcFQAAwShF0usq/D2otrzjUnwaDQAg+ARkWZu///3v2rJli5KSklS5cmV99913GjlypD744INAhONTn332mXr1yr0vZ+nSpfr444/NYcGuXLhwQTt37vRXeAAABJmiDudlGDAAlAYBW4f1888/165duzR//nzVqVNHkyZNUsuWLTVs2DBdvHgxUGFdsX79+pnPe/bsqY0bN3osn5KSovr16xd3WAAAAABQ4vh1SHB+69ev17XXXqvVq1fLYrFo6NChWrJkiWJjYwMZFgAAAAAgCAQ0YZWkw4cP6/rrr9esWbNksVhktVq1atUqtWjRItChFYnFYinURu8qAAAAALgW8IRVyr2P84EHHjAnJ2rYsKFmzJgR4KgAAChuRV3eLXSXhQMAwFFQJKx2r7/+uvr376+zZ88qPDw80OEAAFCMEiS9IMlayOOseccl+DQaAACCkV8S1k8++USffPKJTpw4UWDZ+fPnq1u3bjpw4IAfIgMAIBASJA2VVFbSHfI+abXmlS+bd3yCzyMDACCY+GWW4MGDBxeq/G+//ab4+PhiigYAgECK0aVk1e6OvEebh+OsDuWkS0nr62KJFwBAqAqqIcEAAIS+U5IWu9jvqafVKudk1W6xSFYBAKGMhBUAAL+zSVrgYr+rpNUq18nqAnnukQUAoOTz6ZDgunXrms/379/vcn9RONYFAEBosOU95k9GHYcHW128L5GsAgBKC58mrHv27JEkGYahiIiIy/YXRf66AAAIHba8R1dJq1VSRRfHkKwCAEoPnyasFoulUPsBAIAt7zF/0kqyCgCATxNWd7MBF3aWYAAAShdb3qOr4b92JKsAgNLHpwnrJ598Uqj9AADAzib3w4AzRLIKACiNmCUYAICgYJXrZFV5+61+iwQAgGBBwgoAQMBZ5Xk4sOR5nVYAAEITCSsAAAFlletkNcPFvuJIWmP8fBwAAN7z6T2sL730ki+rM73yyivFUi8AAIFlled1Vl2977hO65VKkDRU0uJC1meV1EvSh5JSfBAHAACuWSQZvqosJydHhuGz6kxlyvg0ry4VateurdTUVElSnTqDdODAsQBHBABwZpXnZLWw5QorQbnJatlC1ucYT6ZIWgEAklS7dlWlpk6VJNWpU0cHDhzwSb0+HxJssVg8bkUpAwBAaLHK+yTUlrc/vysZHhwj52TV2/qsco67bF49DA8GABQPnyas4eHhbrcGDRpo9erVslgs+vbbbzVgwADFx8erXLlyKleunOLj49W/f399++23slgsWr16terXr6/w8HBfhggAQIDFKHc4bX6eejhtcp209lLRksVTyh0GnJ+npNUq10n24rz6AADwPb+Mta1YsaKWLFmi+vXr6+GHH9aMGTMuK5OamqrU1FTNmzdP999/v6ZNm6bvv/9eHTp0UEaGq4knAAAoiU4pdxhtYYfj2t/PPxy3qMli/vqU77VjPFYX5aQrH5YMAIBnfpkleNSoUWrUqJE++ugjl8lqfjNnztRHH32khg0b6tlnn/VDhAAA+FOKcpPNTBUu6bPllffVvaP2+vJz7Gm1imQVABAofklY+/XrJ8MwNHfuXK+PmTNnjiTprrvuKq6wAAAIoBRJr6vwSZ8t77gUH8Vhk/uk9WWRrAIAAskvCWtCQoIkKT093etj7GXj4+OLIyQAAIJAUYfz+vqeUZtcJ60VXewjWQUA+I9fEtasrCxJUqtWrbw+xl7WfiwAAChONrlOWh2RrAIA/MsvCetvv/0mi8Wi0aNHKyoqqsDyUVFRGj16tAzD0IYNG/wQIQAAyE1G3U10mCGSVQCAv/klYf33v/8tSWratKlsNpvatGnjtmzr1q2VnJysZs2aSZKmTJnijxABAICscj0MWHn7rX6LBAAAyU/L2sycOVN9+/bVXXfdpfbt22vt2rXauHGjVq9erbS0NBmGoRo1aigxMdFp2PCXX36pzz77zB8hAgBQylnleoIlR66WvLlSMSraPblFPS4Y0Qaw41wA8vNLwipJ99xzj9555x098cQTCgsLU+vWrV3e02qxWGQYht577z0988wz/goPAIBSzCrXyWqGLu9x9WXSmqDc9WgXF7I+q6Re8s3SPoGWINoAuRLEuQBczi9DgiXp4sWLGj58uNq1a6cPPvhAO3fulJSboNq333//XR988IHatWunESNGKCcnx1/hAQBQSlnlfumal1XwOq1FlaDci/OyhazPmle+bN7xCVcYRyAliDZArgRxLgCu+a2H1W7Tpk16+umnJUmRkZGKjY2VxWLRiRMndOHCBX+HAwBAKWZVweus2h/zl7uSntYYXbo4L0x91nxx2C/SX1fJGw5JG8COcwHwxC89rN26dVO3bt3UqFEjp/0XLlxQWlqa/vjjD5JVAAD8yqqCk1U7m3zb03pKucMeC1OfVa7jXaySeXFOG8COcwHwxC8Jq81mU3Jysrp06eKPjwMAAB7FKPeet/w8rbNqk+uktVdefYXlrj5XF+lWeZ9clyQ20QbIZRPnAuCaXxLW06dPS5I2btzojqPNUAAAIABJREFUj48DAAAenVLuBC2ZDvu8udi1yfmiOjOvnqL26OSvz87xIt2q0L44t4k2QC6bOBeAy/nlHtZ9+/apefPmKl++vD8+DgAAFChFuclmYWcltZfz1ayk9vpc3SNrlet1YUPt4tyW91ia2wC5bHmPnAuAnV96WBcuXChJuvHGG/3xcQAAwCspyp2gxVbI42x5x6X4KA6bXPcslaaLc5toA+SyiXMBuMQvCes///lPHT9+XCNHjtTVV1/tj48EAABeKepwXl9P7GKT64t0R6F+cW4TbYBcNnEuALn8krD+8ccfuv3223Xq1Cn99NNP+utf/6r4+Hh/fDQAACgxbJIy3LyXodJxcW4TbYBcNnEuAH66h3XXrl2SctddjYmJ0SuvvKJXXnlFp0+f1smTJ5WTk+P2WMMwLlsOBwAAhCKrXA97VN5+q0L/It0q2gC5rOJcAPyUsCYkJDi9tlgskqSYmBjFxHieCt8wjOIKCwAABFyMcocXW+V69lNH9vdtDseFEqsK1wYIXVZxLgC5/JKwTps2zR8fAwAASpQE5c5SvE9SYxfvZ+jyHqY7JDWXVE++maU4WFjlOkFx1wYSiUqosopzAbjELwnrkCFD/PExAACgxEhQbrJaTVIjSSfl3GNqn1DGKueL9xhJN+SVH6rQSFqt8ry2pqv3SVRCk1WcC4Azv0y6BAAAcEmMLiWrsXn7YvP2S86zn9p0abbUmHzlq+XV4/n2ouBmlecERXI/Y6x9bU6EBqs4F4DLkbACAAA/O6XcYcCx+fbHStqpy3uKbHn7XZXfp5J7L6tVBScodjaRqIQyqzgXANdIWAEAgJ/FKPce1JP59p9U7r2s1nz7rXn7XZWvp5LZwxojqZeL/Z7W1rTJdaLSSyWzDZCLcwHwxC/3sOYXGxurNm3aqFq1aoqKijJnDXZn+vTpfooMAAAUv1PKvfd0aN7rWDnfw+p4T57V4fWpfOWP5tVTEntYHdugbN4+TwmKnf19e5tkquS2AXJxLgCe+DVh7d69u8aOHauuXbt6fYxhGCSsAACEnBRdukhfp8tnCbYPb8w/K+qpvPKhMEtwii61wWJ5P2mOvVwvlfw2QK4UcS4ArvktYX388cc1adIkWSyWAntUAQBAaZAi6XW5X4c1f7IqXep5CpV1WFN0qQ0KwyZpbRGOQ/BKEecCcDm/3MParFkzTZw4URaLRRs3btSdd96p3r17S8rtQW3YsKE6dOigxx9/XOvWrZMkLV++XFdffbUaNGjgjxABAEBA2C+ybXJ9T54jx2GSoXRxXtSfJZTaALk4F4D8/JKwDhs2TOHh4Tp69Ki6deumr7/+Wvv27TPfT0lJ0fr16/XRRx8pMTFRb731lrp27apJkyY5lQMAAKHMJinDzXsZYp1JACh9/JKwdu/eXYZhaOLEiTp9+nSB5Z9//nn98MMP6tGjhwYPHuyHCAEAQOBZ5XoYsPL2W/0WCQAgOPglYa1Tp44kmcN9pdyhwHZlylx+K+2UKVNksVj04IMPFn+AAAAgwKxyvQ6lI9aZBIDSxi8Ja7ly5SRJBw8eNPedOXPGfF65cuXLjvn9998lSS1atCjm6AAAQGBZ5TpZdTU8mKQVAEoTv8wSfPz4ccXFxSk6Otrcd+TIEbOXtUmTJjpy5IjTMdWqVZOUu2YrAAAIVVa5TlbtEyy5et9xndaS7IikvZJyrqCOcEkJkqr5IiAACDp+6WHdtm2bJKlx40trrJ07d047d+6UJN1xx+X/Udn35U9kAQBAqLDKc7IquZ89OBR6WveqvE6r2hVs5XVarL0JIJT5JWFdvny5LBaLrr/+eqf9X375pSwWi4YPH67BgwerfPnyqlatmp599lk99thjMgxDP/zwgz9CBAAAfmVVwcmqnU2hmbTmqLxyFKcLaqKsQm9xuqDyytGV9dACQHCzSDIKLHWFOnbsqBUrVuj48eOqU6eOMjMzJUlVqlTR9u3bXd7DarFYdO7cOXXo0MHsoYX3ateurdTUVElSnTqDdODAsQBHBACAXYykFySVzbffVbLqyKrLk9xMSa+rZK5DuUrVdFpNlKV3FV1w8XxG6Ix2KEL/n717j4+qvvM//prcCQRDDKEQxCjgVhTbLSJbL2XQrrSgohZcNCLSsiASJVawvy21yPqr9tH+ULSxCGtFoEEWXQXMYsNajVbZKuINLEVAQiBgCCaQkPvl/P4450zmcmYyc+bMmUs+z8cjjzHnfL/nfJlMxnnnezvFAGCC9c0TQogQ5Oefy7FjLwDqorvV1dWWXNeWHtYPPviAOXPm8LOf/cwjnNbV1TF58mQqKytxOBweXydPnuSWW26RsCqEEEIknEZgNWrY1PUWVsG3p7VNu048hlUhhBDBsGXRJYD169cbHv/oo4/45je/ybXXXssll1xCSkoKBw4coLy8nJaWFruaJ4QQQghbVaKGzflAOcEvoKSXm6zVr7S2WUIIIWKKbYE1kM7OTnbs2MGOHTui3RQhhBBC2KYSc8N5K4DdJuoJIYSIN7YMCRZCCCGEMGY2dEpYFUKIvkACawQMHjyYqVOnsnz5crZv3+7ac1ZRFNauXRvt5gkhhBBCCCFEXLB0SPCsWbOsvJzLhg0bInLdSDl58mS0myCEEEIIIYQQcc/SwPrCCy+gKNbukqMoStwFVndVVVXs27ePyZMnR7spQgghhBBCCBFXLF90yeFwWH3JuLN8+XJ27drFrl27OHnyJOeffz6VlZXRbpYQQgghDA0FTthYz1MHOXhu8RNKPZnLK4RIbJYG1gsuuMDvuUGDBrF69WrGjx/P3r17WbduHR988AE1NTU4HA7y8vIYP348s2fPZuzYsXzwwQfMnz+f06dPW9lEWzzyyCPRboIQQgghelULXAr8P+AV4KEQ6v4GuBX4KfA5kGuqBZ1cyn5WsJ0NTGFz0PW2cxv7mUUSDyJb+wghEpmlgbWqqsrweGpqKi+//DLf+c53+OUvf8mvfvUrnzJffPEF7777Lk8++SQ///nPefTRR/mP//gPrr76aiubKIQQQgihuRRYASQDM0innSyKe63VyEramKF9twJ4EKgxcf8xnOX/kk4/NrEAIKjQup3b2MQCuuimmSeAX5i4txBCxAdbVgm+7777GDduHC+99JJhWPX22GOPsXnzZsaNG8eiRYtsaKEQQggh+pahwBNACg7UD0QdFJLMk1xEh9+vZJ6kg0KSAHUSVIp2naEh3j8LeBzIdB3ZxAK2c1vAWnpY7ZGpXScrxPsLIUR8sCWw3nHHHSiKwgsvvBB0nbVr1+JwOJg5c2bkGiaEEEKIPuoE6jBgNXim4SANB2eYxTd4lqfo7/P1DZ7lDLNcZXtW7XiF0OeyNgK+i0oGCq2+YVW3AZnLKoRIVJYvumRk5MiRANTUBD9cRt8aRq8rPOXn5wc8P3RoqH/pFUIIIfqah0innQ4KPY5u53YA/o0HXcceZ4XruLt0SmnjF8AEE/d/mQxa6eRequh2Hf0N8/kjbQxmo+tYLXdwnPngVq4LhQye4SxlJu8vhBCxz5bAqq8cPHr0aD755JOg6owePdqjrvB07NixaDdBCCGEiHtZFJOMwhk895J3D63+wupg/kgXD9DGAJN3T6abl0gBWinyOHOYRZwgmQw20cpMn/MAGTxDNy+B6fsLIUTss2VI8L59+wAoLi4OKoA6HA4eeOABj7pCCCGEEJEwkiKm8KLP8e3czj9z0DCsTuFFRhqEyNAU0MwAzlJGJ8/RSZLH11nu5xSvcZb7fc518hxnKaOZAUBBmO0QQojYZUsP64YNG7jiiiuYMGECW7ZsYd68eX6HB+fl5bF69WomTJiAoiisX7/ejibGneHDhwc8P3ToUHbt2mVTa4QQQoj4pg//9Q6nrW6LIumm8CL/xoOEvyxkLj3b4RwF/gzc5FWmv0G9bVp5GQYshEh8tgTWVatWcfvtt3PllVcydepUvvzyS3bs2MGuXbs4efIkiqIwZMgQxo8fz/XXX096ejoA7733Hs8++6wdTYw71dXV0W6CEEIIkVD8hVZ3eliNjArt0Tu0utvmVk4IIRKfLYFVURR+8IMfsHHjRm644QYyMjK48cYbufHGG33K6kOGX3vtNQoLC1EUxY4mCiGEEELwbzzIm0wz7FnNoDmCYVVXATiBgQbnGpCwKoToa2yZwwrQ1NTEtGnTmDZtGq+//jotLS04HA6Pr5aWFl5//XVuuukmbr75ZpqamuxqnhBCCCEEj7PCMKyCOjz4cVZEuAVOjMMq2nFnhO8vhBCxxZYeVndlZWWUlZWRlJTEyJEjGTRoEA6Hg7q6Og4dOkR3d3fvFxFCCCFEgsjC3B6iZuv55281YHdGW96ET/+3OAk8HBi38xVE4jkQQohYY3tg1XV3d3PgwIFo3V4IIYSIolrgCNAVxjWSUVeHze2lXCwrAOYD5YQ21NUJTAZWA5WWtMRfWM2g2afHtafcPRbcuQD1OagCRhucb8C3x/Um4GJgBFY+B0IIEYtsGxIshBBCCN0RMjlLbhhfmZwlvoNKAWpQS0cNYM4g6zm18ula/YKwW3KIEr9b1/wPo/xueXOIkjDvXID6b8gFrkXtMXW3DXhEe3SXpZXPxarnQAghYlXUelgT2VVXXcWoUaNc3+fm9vz1e9SoUcyePduj/Lp162xrmxBCiFjQRSZd5NFONr3vT+7tNAonSaM5rB7aaMqiJ6zq3Ie6+uPEc8isHlofw+zQ2EZW0kEhaV7H3VcD9rd6cC13kooD+IWJO+vPQS6QrR3THxvxXA1Yf7xJq+ddPrznQAghYpmtgTUnJ4c777yTa665hgsvvJCsrCySk5MD1lEUxSP8xYO5c+dy9913G567+uqrufrqqz2OSWAVQoi+KRsHTxnusxnYIpo4GYH22KcRdRiw93zNQKHVaVAe7Tpmg9pvaGOGz3Azo61r/IXWNgqBNOC/Qrx3I+owYO/PONnAR/g+BxWow4Cv9VNewqoQIjHZFlinT5/OmjVrGDhQnYehb1/TG9nWRgghhEhEFdpjMKHVaVAOwtuTdChwKwAK0I76eWMwf+QrilhkWOcezqGTWu501VPdCuwEToRw/yzUOain6ekpRft+NOq/ucLtuFM7blR+BLIAkxAiUdkSWK+44go2btxIUlISDoeD48eP8/HHH1NXV5eQqwLPmTOHOXPmRLsZQgghRIyr0B4DhVanwXkIL6yCGi5/CqxAIQUFSKeULh7gC1ID1HuAVBxazypAJ/AgUBPi/RtRF0yar32fjRo+9dDp7zlo9Cp/SruOhFUhRGKyJbD+7Gc/Izk5mZaWFv71X/+VF1/0XbxACCGEEH1RhfZoFFqdGO9JGm5Y1X2OGjafAF6hjV/QxoAg6v0CdRjwrVr9zzG3WnMlPaH1I3xXCfb3HDRq5WWVYCFE4rMlsF555ZUoisKvf/1rCatCCCGE8FKhPXqH1kiGVVBDZg2wGLXHdUIIdf8LdRhwDeFtLVRJz4JJTkJ7DmQYsBAi8dmyrU12tjrXory83I7bCSGEECLuVOC7fYs3K8Oqu1DmnlpRz5seOisI7TmQsCqESHy2BNYTJ9Q3dFlASQghhBD+VQANfs41EJmwGmsqkOdACCF62BJY33jjDQDGjRtnx+2EEEIIEZecGA+BRTvutK0l0eNEngMhhOhhS2BdsWIFLS0tLF68mAEDglnMQAghhBB9ixPj1YDd6YsQJSon8hwIIYQnWwLr/v37mTVrFsOGDeONN95gzJgxdtxWCCGEX1k21xPCnyz8BzWjobF6YLPytRgLvw9OQn8OrDTU5npCCBEcW1YJ/sMf/gDAvn37GD9+PJ999hl79uzh73//O83NzQHrKorC3Llz7WimEEL0EQWo22iUE9p8OCcwGdlGQ1ijFshE3VImDaj3Or8GeBmYDszzOjcdNbTNB1owv0rvQaA/8BDwByCUnQxuB34CPAA0AyNNtgF632vW6Lz7Pq3huhK4H3gbWBVCvQXAROBp1BWThRDCerYE1rvvvtu14JKiKDgcDsaOHcvYsWMD1nM4HBJYhRDCUgWoH/LTCe0Dr9Ot/HwktIrwZeLgWRSGAZCEQhJ1AGRQQgabtHIv0EorrRQB0E0O3VpAVevfE0Yb+pPEEyTRDygiky4yKO21ViuFNLva8wTd/DSMNjgJHFYh8F617ufN0MNqMnCtdiyY0LrArfz92qOEViGE9WwJrFVVVbJCsBBCRF0WPWFVF8wHXieeH5TTtevoe0cKEaos4AkUhuEAHAAMJhmFETzCYDZ6ld9ALV1U8QjdDCYJUACFfNQ/niwj9NdiFvAQSfQjBfUDUTeLGIRCXoDQepJCqllEBtAJdJJJN0+ihrxQ2+Ck97Cq07+3MrQOpSes6oIJre5hFa3+/cBhrNvqRwghVLYE1gsuuMCO2wghhAioEXUYcCgfeJ0G5dGuI2E1XKdRWESTqXqJwgGkaZE1Bwd3ks4U+vuU2046q3FQp5VtRwnzWWhEHQZcRAow2nW8mNkkMdMnNMMm7uAZ7neVPYAaWtXrmAnMkw2OB9prVj/u/Ts5Gdhtog0nUIcBX+t1PFBo9Q6rureRsCqEiARbAqsQQohYUaE9BhNanQblIPAHahGcZJpJ5iRpnDR5hWaS8ewZiyeNwL+SxGpgOAA5nOQc6tnEAgCmsNlVeju3sYkFnKPNc60jD4AkjtHNfMwvfvQimXTRzSKPo89oQ1zdQ6seVr1l8hQNbAauD/Hejai9w+6jHoL53dLP67+bbdp1zP4BSQ+lwYRWf2H1TUKb+yqEEMGTwCqEEH1OhfYYKLQ6Dc6DhFWrFNBMJc10hXGNZNQ5yfHqbwxkFq2sJ4cMVxgFPEKrHlZ1PaG1lQzu4jSVwATTrciglEEoQLHHcffQ6i+s5rOSejbSQKrJu1fSE1pDWQRNL2fVImjBhFYJq0KI6HBAAo0rEi75+fkcO3YMgOHD76a6+usot0gIEXuc+N9GY6DBcQmrwkrvk8tZLiCLG5jmEUp12ZzitMEKwDNZRRlbOUwjpxiA+cC6gzw6+AcUZjPLMJTmcopTBm1YyNOsYwP7cXCSVELvYXWXhbkeUrP1/PEXStvwnPuuk7AqhOiRn38ux469AMDw4cOprq625LpR62FNSkpi0KBB9OvXD4fDEbDs0aNHbWqVEEL0JRXao3dolbAq7JNKnWv4r3do9RdWp7CZcprAdM+mL334r3do9RdWZ7KRdZbd3WzotHoeub+eVgmrQojosTWwnnvuudx3333cfPPNjBkzhqSkpF7rKIpCaqp1/0MSQgjhrkJ7NOpp1UlYFZHnL7S608NqpPgLre70sJq4/IVWdxJWhRD26T0xWuS73/0ue/fu5Re/+AVjx44lOTkZh8MR1JcQQohIqkAdBmykAQmrwi5T2Ew2pwzPZXMqomFVN5ON5PppQy6nEjys6lahDgM20oaEVSGEnWwJrDk5OWzdupW8vDyamppYuXIljzzyCKD2oP7kJz9h8eLFbNq0iZaWFhRF4d1332XOnDn8+Mc/tqOJQgjRhzkxHgaMdtxpW0tE37ad2wyHAYM6PHg7t0W8DZu4w3AYMKjDgzdxR8TbEH0LMB4GjHbcfy+4EEJYzZYhwUVFRZx77rm0tbXx3e9+l7/97W+MGTPGFVpfeOEFV9khQ4awceNGJk6cyP/+7//yf/7P/7GjiUII0Uc5CTwcGALv0yqENbxXAzZitOWNlfytBuzOaMubxOJv4SV3gfZpFUIIa9kSWH/4wx+iKArPP/88f/vb3wKWrampYerUqXz66acsXryY8vJy3nrrLTuaKYQQfYyT4FcJltCaeGqBI2DJ1jrGPZKBtaMOL1XYzjQ2MR/o9iiRTS2nGexxTC3XBmzQyvvrCQyNv7BqtEpwT7kNltw7doSySrCEViGEPWwZEjxq1CgA3njjDdcxRenZTcd78aXW1laefPJJHA4H99xzjx1NFEKIPsaJ/31WH9Eevd2EDA9OJEfI5Cy5YXxlchbze4C24EChljvYxH2ou+z1fBWykt8zhUJW+pzbxH3UcgcOFKA57GfiJIWGYXUhT/MqN7CQp33OPcP9nKQw7HvHjkD7rN6pPXq7FhkeLISINFt6WAcOVP9Sf+TIEdex1tZW139nZWVx5swZjzoffvghABMmmN8MXAghhBEn/sNqhfbf+qN3OelpTRxdZNJFHu1kE/oCh6dROEkazWH00LZRyAkWcb7X8btYyU2UAvAj/kgqCusp9ihzgmKScECYw4NbKaSaRYz2Ou6+GrC/1YOrLWpD9AUKq3oPqr/Vg6WnVQgRWbYE1rNnz3LOOeeQktJzu7q6Otd/FxQU8Omnn3rUycjIACAvL8+OJgohRB/hpPewqtO/l9CayLJx8BT9Q663iCZOhnXn22mmiAwgze2oGhQ3oQ431o9t4lySfAJjM4u0cl+H3QZ3RlvX+Aut4bch2oIJqzoJrUII+9kSWA8ePMi4ceMYMWIEu3btAuDMmTN89dVXDBkyhEmTJvkE1iuvvBKApqYmO5oohBB9QBYw2eB4oH1W9ePeoXUysBtotKJhos/JAn4CqDNoD2lHR7CSzZT66a/cQAfdVGk9rT39uj9BDUqhvhZ72tAJHNCO5rOSdZSyzk8bmummWmtDZ9htiLahwESD44H2WfUXWicCW4AT1jRNCCE0tsxhff/99wEYP368x/E//elPOBwOHnroIUaP7hmMM378eB566CEURXEFXCGEEOFqBFbjub9ioLCqq8BzTmubdp14+3AuYkcjUIxCM51ABzCQp3CwkRM4/H452MhAnqIDNSwqNAPFmHstNgIP0K21oRVI4inq2ch+HH6/6tlIEk/RqrWhm2bgAZNtiLYTwNN4LrwVKKzqVuE5p7VLu46EVSGE9WwJrOXl5TgcDm699VaP40888QSdnZ3k5eWxd+9ePvjgA/bu3ct7773HoEGDAHjqqafsaKIQQvQRlfSE1mDCqq5CK6+H1UrLWyb6mkM4uJ9umhnO7xjBJrJI7vVrBJsYzu/ophkH99PTP2tGM938lE5a6KSEBjZzktRevxrYTCcldNJCNz/FioWfomcnPaE1mLCq00OrHlZ3RqR1Qghhy5Dg8vJy1q9fT3JyMgUFBVRWVgLw+eefs2DBAlatWkVKSgrjxo3zqPfII49QXl5uRxOFEKIPqQQeI/QeoQpkGLCwThrZfMEFzOD3tEFI82i3ci9/4jCNnGJAGG0YqT3qw3mvD6Hu11q9oWHcP1bsBA4Teg/pKmQYsBAi0mwJrJ2dncyZM8fw3PPPP8+7777L3XffzSWXXEJKSgoHDhxgw4YN7N69247mCSFEH2Q2dEpYFdZKpY7Qwqp7vVSLWiG/D+ZDp4RVIURk2RJYe/PFF1/w85//PNrNEEIIIYQQQggRQ2yZwyqEEEIIIYQQQoTKlsDa1dVFR0cHF198cdB1LrzwQlc9IYQQQiSmRsb1XsjCerEpy+Z6QggRP2wbEuxwOGytJ4QQQsSuWuAIntuJhCoZKAByrWhQVDRzH3v4FQt4l1XcHHS9BWxhD1eTyVJgbeQaaIsCYD5QTvCrdgM4UfdDllW7hRCJLSbmsBrRg6qiKFFuiRBCCGG1I2RylswwAmszyTRTSfwG1nto5peAg91cwwK2BBVaF7CF3VwDQDO/AtKBjyPa0sgpQA2r6cBN2rGKIOo53crPR0KrECKRxWxgPffccwFoamqKckuEEEIIq3WRSRd5tJNN6COJTqNwkjSaw+qhjaZRoIVVXTCh1T2sqhzadZYAByPT1IjJoies6oIJrU63cmj152NuqyohhIh9tgbWYHtLMzMzue+++wA4dCicDcGFEEKI2JWNg6dMbOmyiCZORqA99jmIuvfnVR5HA4VW37Cq20n8hVVQw2U5nuETAodWp0F5tOtIWBVCJKaIBFZ/IXPHjh29LqKUnp5OXl4eSUlJKIrCa6+9FokmCiGEEAK1t3YRoY9mOk24U3amk8ImOpnocaUPuYbreIVLmew6tpdyGgzCagpv08lMYEKYbYmWCu0xmNDqNCgHsI3Q5r4KIUR8iUhgLSgo8DnmcDjIz88P6Tp//etf+c1vfmNRq4QQQgjRI5lmkjlJmune2maSURd/Mnf/NKYBW+lkoseZBibyAeVkcwOnKfM5D2pYTWManQwwef9YUaE9BgqtToPzIGFVCNEXRCSwrlu3zuP72bNnoygK27Zt4/Tp037rKYpCa2srJ06cYOfOnbz55puRaF4fdAvQEkS50kg3RAghRMwooJnKMOfB6isVm78/zARexnt4cCcTOcVpjAPxe3QyUwurZu8fSyq0R6PQ6gQGGtSRsCqE6BsiElh//OMfe3w/e/ZsAJYuXcq+ffsicUsRwA/5kq97mdvyN5ycZAn1/NamVgkhhIiuXKK7wrD7/X+LGsou8ypj9DHlM618vA4D9qdCe/QOrRJWhRB9my2LLi1fvhyAkyfje4mIeDWGFTRSHbBMMbCMF/mSJVRZctfjSI+tEEKI4D0MPIpvaHX3mVYuUVVoj0bDf3USVoUQfYstgfXf//3f7biN8ONT4OteyuwCJnE713ODJffcyBL2sgSkx1YIIUTQHgZewXgYcBeJHVZ1FfgfBtyAhFUhRF8TM/uwpqWlcfXVV5Obm8vhw4fZtWtXtJvU56jPeJkl13qGMhbyNg0sseR6VdJjK4QQfcCj+F/EKVk7n+ih1YlxWEU77kRCqxCiL7ElsI4YMYKFCxcC8Nhjj3HmzBmP8xMmTODll19m6NChrmMfffQRP/rRjzh69KgdTRQW+y2w1GBVRzMOc4Nbj+1xS66p+gI9pgshhIi23oYDo51P5NDqJPBwYAi8T6sQQiQeWwLrLbfcwuLFi/noo4/42c9+5nFuwIABbNmyhcGDB+NwOFzHx40bx3//93/zj//4j3R1hbOCoYgW6/pDy3hh9YthAAAgAElEQVSGMp5juWVXBPgAJ/u5COm5FaIvy4JeFqWztp6nFkYCX5msZ82KA7HBX1jtwrfHNRKhNbqvA/U64zAOqw349rjq5XZbdH8hhIhdtgTWf/7nf0ZRFLZs2eJzbt68eeTl5aEoCk8//TR//vOfmTx5Mvfeey9jxoxh9uzZPP/883Y0U8QwdSbsMkuvOVvrua22aNhyPRVIj60Q8aQAmA+UE1pvlROYDKwGKk3fvY2b+YxVPM7L/BsPBl3vcVbwGdPJZAHwhun7Qy1wBCzZ1iac1Yb9hVV9gSWj81aG1gKi9zqoBTKBJ4A0oN7r/BrULX+mA/O8zk1HDa7zUbeui+aKz0IIETm2BNYLL7wQgN27d/ucu+2221AUhVdffZUHHngAgLKyMgYPHsyMGTOYPn26BFYRETu1nlsrqCssO6niItShxlaRACxEZBSgftBPJ7Qhlk638vMxH1ZuoJEnSSKF7dwOEFRofZwVbOd2FBQaWQU8gBp6zDhCJmfJDCOwNpOs7aVqNiz1FlYhsqG1gOi+DjJx8CwKwwBIQiGJOgAyKCGDTVq5F2illVaKAOgmh27tOVfr32Pi3kIIER9sCax5eXkA1NTUeBzPysriO9/5DgBr1671OLdp0yZmzJjBt771LTuaKPooq9YwnsTtnMdyjnIRrVxkyTXrGcZJnNJzK4TlsugJKbpgwooTzyGb6dp1HiO0YZlDgf+H+1DXYEKrHlZ7pAArgcXAiRDur+siky7yaCcbR+/FvZxG4SRpNJsOvMGEVV0kQmu0XwdZwBMoDMMB2k9gMMkojOARBrPRq/wGaumiikfoZjBJgAIo5KMG5mUh3l8IIeKDLYE1KysLgORkz3koV111FcnJyXR2dlJRUeFxTl9sKScnx44mChEWNU4uY5KF17wI2M5yba6t06KryjZDQqgf6svxnS8YKKw4DcqjXSfUkHACdeuWGShAOwoAW5jJe3QyUutFc3eIEmqZCVpZxXXmFcyF1R7ZOHiK/iHXW0QT5ndXHwWMNTgeaJ9Vf6F1rHa9gyG2Idqvgx4OIE2LrDk4uJN0phj8TLaTzmoc1Gll21HcXgtCCJGYbAmsZ86cIScnh2HDhnkcdzqdAHz66ac0Nzcb1m1tbY1084SwjJX9oLuA8SzjYgv3xq1mCfUSWoWgJ4wEE1acBuUAtmF+pdZ/I5lOurjdI3DUcCencZBFsetYIytpo9DnCsm8SBcPA5ebbEM0HQTWAnPA1bsbKKzqvEOrol0n1LCqq9Aeo/E6aAT+lSRWA8MByOEk51DPJhYAMIXNrtLbuY1NLOAcbZ5rHerotSSO0c181B5bIYRIPLYE1r179/K9732PW265hW3btgGQlJTkmr/61ltv+dTJz88HfIcRC9GXWLk37lLKWM2LfMkSSweNqR+dJASLeFShPQYKK06D8xBeWAUo0MJmCnCbx5k27qSNNOAh4Dc+51WbtfoFYbQh2rZqj3OAPQQ/rFcPrWNRw+rWwMV7VaE9RuN18DcGMotW1pNDhiuMAh6hVQ+rup7Q2koGd3GaSmBCGO0QQojYZUtgffXVV5k4cSKzZs2ipqaGv/zlL8yaNYvzzz8fRVHYvHmzT53LL1f/YlxVlUjL9gsRPaWoc23nW3jNYcBC3tZ6bissuqrM1xV2qtAejcKKE9/tRCD8kALqIkW5wH8BecC1XudnArfgOb9S96ZWLx57Vr1tBT4n9B7ShzE3DNifCu3R7tcBpLCXsUzkBqZ5hFJQQ+ufmMFpg0Wt5vMYZWzlMI3AgLDbIYQQscqWwLp69Wrmz5/PxRdfzOLFi1m8eLHr3GuvvWa4evAtt9yCoig+c1uFEObtwvo4uJSJbGc5ByxYbKqeYdp8XemxFXaq0B69w0rkQoqnVdqjd2j1F1ZXGRyPZ2ZDp1VhVVehPdr/OkilzjX81zu0GoXVmaxiCpsppwlItawdQggRi2wJrO3t7Vx33XWUlJRw4403kpqaSnt7O//5n/9JUZHv4hLXXHMNY8aMQVEU/ud//seOJgohTCpFnWs7yoJrOXHvsbVCBdJjK4JToT0aDfvURSKs6vyFVneJGFZjTYX2GJ3Xgb/Q6k4Pq0II0VfYElhBnYs6Y8YM0tLSyMnJ4euvv6ajo8Ow7NGjR5k0SV1vddcu+bApRKyz6rd0F2qP7WELFprax3htheWLUGO1EL2pwP/wzwYiF1Z1q4CrMO5ZbUPCql0qiObrYAqb/Q4DzuaUhFUhRJ9jW2DVtbe389VXXwUsU1lZSWVlpT0NEkLEFDVaWrHQVBmzuYGNLKGBJRZcr0cVx5EQnIicGIcUtONOIhtWFmAcVtGOL0BCqx2cRPN1sJ3bDMMqqMODt3ObhFYhRJ9ie2AVQgi77KSMpRatsqzr2Rt3CXDcgitGK/hmYW7fSLP1YpX+73ESeBgoeK4aa9XzoF9nAYGHA+N2fpWF94cOclB7cM3US6TXAoT+OrCW92rARoy2vLFGLLwnxEIbhBCxRgKrECKhucfBWuAI0BXG9ZJZxhT+iSv4YXgNA45yEV+yhCpb59rWApnAz4ENwMsh1J0OzAKWAi3gpxcofhQA84EqYLTB+QZ8e9puAi4GRgCrgUoL7t8JfNPgfBu+Pa7Xoq7PnWLB/aGTS9nPCrazIaQAtJ3b2M8skngw7DbEDifGYdXf6wCsDK3+wmo2p3x6XHvKrbXgzrHynlCA+vtQTmjPqxOYjBW/D0KI2OQAjz3Lw/Lww+oear///e/5+uuvrbosALm5uSxYoL5BP/roo5ZeOxHl5+dz7NgxAO4ePpyvq6uj3CIhou9DoBv/gy6D0QYkYc2GIuOBg1qP7UkLrueu3u9Ky00k8ShJ9AMggxIy2NTr9VqZSSvqInndtNDNw0B/i1obDQWoH45zgWzgNJ49NPrCOk48Q0yWW/lTmP+QrN//PO2anaivTp2+wJJ3z2sSalhtBI6GcX+ARlL4v6TTjxEkBb2Yjx6squimjRY6+YX2b4hnTgLvs9rbebPeJ5ezDGIGKRT7nNV/Jv7CbCcrqeclTjEA8/uwxsJ7QgHq74P+7hzs8+qk5+fShoRWIaIrP/9cjh17AYDhw4dTbVH+sDSwdnV1oSgKY8eOZd++fVZdFoAxY8awZ88eFEUhJUU6hnsjgVUIX+8DGahxY5CJ+vWoMaUV8x8NjVg7wxaW8SJfMkzruXXXD3CSQgopdJOsHR1GCYN50e/1avkXjnM/AF0odJJEJ23A74jPYXhZqL1JeljV6aHV+8OyE/VDcZZB+VPAY4T2POj318OqTg+t3qsB66FVD6s6PbSGen+9DfeRQjrpKIwgCeh9BVr34KQGVkecvxYg+DAabLlQvM8AbkBhoetnoPP+WRiF1iq6cfAMZynD3LtSz+tAfU9wADCMpxnMRr+1arnDwvcE/ffB+0+JvT2vTnx/Hm2Y+30QQlghUoFVkp8Qos8ZBDxnot5c1IhiNat3nZ3E7ZznZ2/cz9hCBzNIwcH5rv0bf8pNZHMTW33Kb+FHbGA2I1BXda+im05AHToYrx8KG1GHAXtvxpQNfITvh+QK1GHA3nNM9fKhPg+NqOHUu1cyBfgM34WVVqEOA77M67jeM2vm59CI+jOc63E00PxI//Mr4/m14CT4EKp/710+nOHB02llLulefQdGfzjwt+WN2suZgfrHi1D1vA6ScbiF5mImkx7wdTBC+z7894RG1GHAoTyvToPyaNeJ19eiEMKfiATW8ePHk5tr7dymCy64wNLr2eW8887j/vvvZ+rUqYwYMYK2tjYOHjzI5s2b+f3vf09LS0u0myiESDDqbNhlhrNsvwYaOEIzxSS7LbSzkUIyqeVHbrN+/4tCXuJfSEJBIRUFBeggg//gLH8FfhZmS6O54NQI1D8/ePeYjsZ3FVindtyo/AhCX/BlqHa9Tnx7TPv7uX9/7bx3j+xo7XonQri/7mUyaKWTe6lyG478G+bzR9o8etjUHrX5uA9b7kIhI6zevWjLQp376C1Qz55+3DssTQZ2E3pP+yxAfS71n8EwnqacjZQb1llLJ20evZvqYLlZmO/lVl8HCgs9jhr98cLfHy0yKAnzdVChPQYTWp0G5SCy+yQLIaIpIoH1+eefj8Rl486UKVMoLS0lO7vnA07//v254ooruOKKK5g7dy5Tpkzh8OHDUWylECJRGS3jdBrIoJRsoNtrztwaimkDplHKVgpZp51Xg606gPh8nqKdl0hiAHeHETg3soRqlgSYaxtJjahz3eZr33vPYXX/kOx0+77Rq7w+hzXUkHACeBq00NEzJ1Wfyezv/vp5vWe1Q7uOmbAKkEw3L5ECrrmIusMs4gTJZLDJY66iuwyeoZuXgAEm7x9t7q+DUOZO6ue9506a6WlfSjeP0kk/OlGDXz0vUe8a/WDkJRwkaz8TB920QJhzyjPYxCC6wOs9wT20+gurw3iael7ibNivgwrtMVBodRqcBwmrQiQ2y+ewRlq8zGG97LLL2LlzJ/3796exsZHHH3+ct956i379+jFz5kzmzZsHwL59+xg/fjxNTU2W3l/msArhS5/DegHmhwQfxvo5rHZyfw5udAul7gZRSz2DfY7PZiWvUWrJc1AIrNbm2loxgK/e1N64BYS+SjDAAaxZJfhK1NB6AOOw4e/+TajtfRrYGcb9T6G2vwt1tdd5BmW+Bs41OL4GdTXZZNTnMZ5XjC4geqvTnkKdW/4rordCr7rw00V0MJk5Qa9UDOrQ5XLW8gWpYS785M5J8Ks1g4RVIWJHXMxhnTRpkpWXi2srV66kf//+dHR0cP311/PXv/7Vde6tt97iwIED/Pa3v+Xiiy/mpz/9qax8LISw3TQt4HmHVn9hdRqlvGbRvUtR59out+Ba73GDW49tRYi1X0f9sN+G54ftJgJ/OLZi38edqH8COYHxh/RA9zc7DNhdLj0h5yjwZ4M2GAXpbVr5eP2zjbdKzC3UU0How4C96c+/Ppw3lOf0qFavP1at2O1vnqy/sDqFzX6GLoejQnsM5fdBCJHILA2s77zzjpWXi1uXX365K7z/4Q9/8AiruhUrVjBnzhzGjBlDcXExjz/+OJ2dnXY3VQjRx/kLre70sGq1XVi1+2wZz1DGMl6k1WChqeC0UcsRvuIf6CSVNjJQexfduX84tmphFz106tc16lkyun+4YdVIqG1IJGZ/nla9DqJ9/x7+Qqu7YLdAMq9Ce+yLr0UhhLfYH1sbh26++WbXf69da7ypt6IorF+/nl//+tfk5OTgdDp544037GqiEEK4TKOUbRQa9qwOojYiYdVqv0XtsQ3XBrbTwii+5hu08g23Mx2oO+eOD+PqFQSO6BWoPa1GPUkN2PPhPBbaIKJtCpv5EzMMe1azORXhsKqrQF6LQgiQwBoR11xzDQBnz55l9+7dfsu9/fbbrv+++uqrJbAKIaJiq5+wCurw4K0UxkVoDbe39hiF1DIYOMP5nOEs53icv5Jd/KPJD8n7GM8HONnPRfifa+vE+MM52nEnkf+QHgttENG2ndsMwyqow4O3c5sNodWJvBaFECCBNSIuvvhiAA4ePBhwIaq///3vPnWEEMJOW/0svOROPx8PodWsYxRy2O15+AqAMx5ldjCRA3zMcFPPQxmztbm2DSxxHe0ihWQ6aSKPRvJ7ucY8sphKf05yhhTO8AZWDapWOQk8BBPC23NUxAP/++32CLRfb3j0ueFOQnstWjGnXAgRqySwWiw9PZ3Bg9WeCn2VXn9Onz7N2bNnGTBgAOedd15I98nPD/zBZujQoSFdTwg71AJHUNckNSsR1iSNFf7CqtEqwT3lEi+0eodVXRq1tHs9D3o5M6F1J2Uspcz1/RHG8gIl5PM5X5LJQPZ7lB9ILQ0GPd8X8jkf8iPOJ50jpufsAuwB3gDagSnAD1EXm3JntErwdcAhEmeVYKHzF1aNVgnuKWc89Sl0BYS+avdNwMVYs2q3ECJWSWC1WFZWz6buZ8+e7bV8U1MTAwYMYMCA0PYv6y0MCxGLjgDdqNuqmNWG+pFEPh6Hp8ZPWNUXWDIKs+sopgNIpNDqL6xewEqGU2p4PpzQqtdoYCx7KaGF4RxgHGnUkEZdr/dvJ4cq7iKLGhykcwOnGeTanzU0b7OFDk7Szi00Mh2FDhQcqL+lChmUBNiHdS4ZtNLNSzTLb2RCqOUOw7CqL7BkFGY3sYBO2oCXwrx7AWpYzQVG4bkvMvQssOTEs+c1C7hWKz8fCa1CJCYJrBbLyOj5KN7e3t5r+ba2NgD69esXsTYJESu6UMNqNjDIRP161I8lrVY2qg9qopB6iinwOu6+GrC/1YOrKSYNSE6A0NpbWIWeUGplaG0nxxVW2xmiHVMf06jze/92clzlGhlCGzU0MIbLWeoRdoPVAnRRSAvzSKMLB11aYHUwlGfIYzOQBGzmJA6Os9CjficLSaMfKewmy22Ys64eUJfDErGulZkcZyEjvI67rwbsb/Xg49yPg2RwGz0Qmix6wmq2dkx/bMRzNWD98Satnnf5+ZjbokgIEcsksFqstbXno3RaWlqv5dPT0wFoaWkJ6T7Dhw8PeH7o0KHs2mXl3CYhrDMIeM5EvbmogVWY10ohrRST7nXcaOsaf6G1kWKtlzx+Q2swYVVndWhNo44BfM4Zxnkcb2cIgyk3vH8dV1HNXYblzYRV8HwtFLiOKtzPk8z0+Tc9zybaWOX2HBwE2pnD+ZzheSb6XH8hb5vcG9eI/P8scqbTylzSUTyOGm1d4y+0qj3wGah7w4aqEXUY8Civ49nAR/jOl65AHQZ8rZ/yElaFSDQSWC3W2NjzRhnMMN/+/dXNvoMZPuyuuro6tIYJIVzqUcOvmXrxrJ0cWpkHqL3dldrxfFbyGqW8ZlirlA7UnlW9HkAr82jnddNhKZrUYbXzfI4bhVWdv9BaxTzyQnwe2snhLJeQRo2rxxQgjRrOMJ5jFHq04xiFnGG8YfmzXEI7OSH/HNxfC+5msxInpdqiU56clHKGnj9gKKivhyrm8SuD52ApE1nNi9SGNc9W1YiTKkB6bK2WBcwCoAuFKroBGMbTlLORcsM6a+mkjePc76oHDu06vyP0wJiFOgf1ND09pWjfj8Z3NWCndtyo/AhkASYhEo8EVou1tbVRW1vL4MGDe+0Fzc7OdoXao0fN/FVSCBGKZNQ5sKcx31Pbpl0nHqVRx0CKaKCETjLpBLJYSTOlHA5Ys5Q01J5VVTMDKYrLsArq83ApReylhC4ygcBhVecdWpNp5lITz4P7/UHtKXWfw+rec+veE6yf18v345ip++vXGkARzZSA9hwY9bJ78+51T6KZTD9tKEXdGzf8uArDcO+xPW7BFd3F70iB8DUCS+nmUTrpRyeQQQn1vEQ9qQHqvYSDZK1n1UE3LcDDQH+TbViNOpwX1BDqPofVfTVgp9v3jV7lT2nXkbAqRKKRwBoB+/btY/DgwYwaNYrk5GS/W9t885vf9KgjhIisAtRexXDmwOprosar0ezhgBZaM1hDMqVBPR/JlJKB2rM6kCJGsyfSTY2ogexxhcYRrAl6WK9erop5XEoRA00+D+73H0w5Zxjvcf4wxVRT6LNKcRp1DKacs1wS1v0BUthDNkW0UMJs1gS9bZFe7lHmkU0R3QHasAvrBvMuZSLbWW7R1VQf42QvS+jbPbctdPMw3fwK2MBZyjhLMAtBlqEOA56FGlZbMBdYQX1n1kPrR/iuEnwTxvuyNmrlZZVgIRKZBNYIePfdd/ne977HgAEDGDduHB988IFhuYkTe+b8vPfee3Y1T4g+KxdZy1R9DvbQzi0meuZK43YYsJGB7OFyE8/DcEpDHgbc2/2N5tR6h1Xo6Qk2MwzYSBp7uJBbmBbitaZRyiu8zjHqbFsETY3Jyyy95jP09NxaQZ2vG2/zbfV3RX0474QQ6h7V6vXHfFjVVdKzYJIT331YvcMq9CzIJMOAhUhkUQusWVlZZGVlkZzc++C6eBsuu2XLFn7+858DMGfOHMPA6nA4uOsudQGN+vp63nrrLVvbKITo28yGnUQJq7poPw/6dfzNkXXnPmzZyp9Dqslrma0XS36L2nM7zIJrPcdyPsDJfp85l+GyKwCbDXxWBkX9WhXao3dodee+erCEVSESma2B9fvf/z733nsv11xzDYMGBbephaIopKYGmkcRe3bt2sU777zD9773PX7yk5+wbt06/vrXv3qUefDBBxkzZgwATz31FJ2dndFoqhBCiBgxnFLDYcAAadSa2kJH9M66Z3UZs7mBHRTSasnMXdVxnFRxnL4317YC42HAAA1Y+0cBIUQssy2wPvXUUyxcqO7h5nA47Lpt1CxatIj33nuPzMxMduzYwWOPPcZbb71Fv379mDlzJvPnq4sL7N+/nxUrVkS5tUIIIaLtmJ+wCurwYO/Vg0Xs2UkZk0zvR2rsIMvd5tpaIV7m6zoxDqtox51IaBWib7AlsN5+++0UFRUB6j6lW7ZsYffu3dTV1dHd3W1HE2z3ySef8C//8i/88Y9/5JxzzuHxxx/3KbN//36mTp0a8pY2QgghEou/fWHdmd33VdjL+gG8y3gGeI8bwr7SDgr5kiVUxfxcWyeBhwOD5+rBQohEZktg1XsTjx49yrXXXsuXX35px22jrqysjMsuu4xFixYxdepUhg8fTnt7OwcPHuSll16ipKSElpaWaDdTCCGiwuzCQVYtOBQr/IXVNGp9elwTMbTK66B3ap9o+D23kyjjPG2ubQvOsK+nawTqLeu5dWIcVhvw7XGV0CpEX2BLYL3ssstQFIXly5f3mbCqq6qq4sEHH+TBBx+MdlOEECJmNDA25C1lQA134W4pEwsOAoeBTgrpNgirSawkmVK6DM5/SjF7gBRKuRAYabIN7UAS0AU0majfpV2jw+T9a4GDjHVtsZQRwuuglUKPLZb6+urfwVL7VJfxiMXXXc2LWs9tuHvkng/8A/C113F9gSUnvmFWQqsQic6WwKovmvTxxx/bcTshhBAxTA+rXWSG1GPo3hO5l5K4Dq2HAQeFOCjGe638/qykn+v5KKUFaPIJtcU4gC8pNR1YW1B30XSgBtdQ6atRNJu8vx5WIZNWikkF+gfxOmiikFbt+WighAMUkRunr4Nosbp/fhK3c16Ye+R+yVj2cT5NpNLJN+jiK+2M+2rA+qOEViH6ElsCa2VlJRdffDEDBgSzEbUQQohE1U6OK6zqggmt3sNmu8hkLyWm9lGNBZ1aWE3B83/E+awkz+d5KOUkUO327+8EOilG0c6b5dC+0sKoa0Y7Oa6wmgIkA+0UMxgYEuDfU0Mh9RSTjtrD20kmDZSY3FdYWEXvuTVL/f2eAhxnGFDLhbTzDdqpBsZrX+66gHyvY/OAqcBJr+N9cYVlIRKLLYH1lVdeYenSpVx33XW8++67dtxSCBHD6oG5JuuJ+JZGHSNY4zNnM1Bo9TfHcwRr4jKktJNDN/NIRv2fsL4BShErud3vB+tSXgRKtOfhC9TQ2s082nk9rOfhNPSy3JP/emalUUcGa2jVepgLXGeKuRGYZvA8bKWQdRS7ylaiPgcZcfo6EKp2cqhinuv7OmAgX3IVb/OPAXpMP8bJTq+e1lQ6uZNnyXTbl3UjS7QVluNldWQhhDdbAuuKFSuYNWsWxcXFbNq0if3799txWyFEjEkG2lA/6Jr9sNumXUfELz2UBhNa/YXVC1gZtwsPpVFHMkU4tB5G6C2sqvTzemh10EwyRWGFtWbUPwSZ6Smtx/xwYIAMSklF7Vl1t0773j206mHVW5Y211fErzTquJQij5EXeaykhVJ2BqxZxmA+dr0/JNPMSIr4xGt4+DOUsUybY2ulvrk3rhDRYUtgbWho4Ac/+AHbtm3jvffe4+GHH+bFF1/k9Olw/j4rhIg3Bai9Iq1hXMOzN0bEq2BCayKGVV0Se8iiiA5KKGJNr2FVp5cr1hYcagxj7mY/1EWTmoALTdQ/irrgUj/TLVDnrKrrIPsPrf7Caj4raaY0rPcTERsGsscVWkNZiE0vF2ghtt8C87ndyuZymBvYyBKqWUJ92AtNgTpmIpa3GRIiuhygTYGxwKFDhwKez8zMJC8vD0VRUBSFU6dO0dwc+O+ziqIwatQoq5rYZ+Tn53Ps2DEA7h4+nK+rq6PcIiGE8BXKli6QGGEVYAeQAxSQw1smekgnkUMlddQB15tsw/uoiy5dADxnov5c1MWjWoEJYd7/Rj+hdBC11Bu8DmazktcoDev+IvbE0xZHS4DnwlxoSvcBTvZLj61IAPn553Ls2AsADB8+nGqL8oelPawFBQVBlXM4HDgcDvLy8notqyiW5WkhhBAxxl9PayKHVXepJj9km60Xq/Thv96h1V9YnUYpr9nSMmEns6EzGnOY1Rmx5heacjfbrcfWSvVUID23IhFYGljXrVtn5eWEEEL0Af5Cq7tEDKvCk7/Q6k4Pq0Ikkp2U8Qxlll7zOZZrPbcXoQ45DpcEXxE9lgbWH//4x1ZeTgghRB8xnFKqKTTsWU2jVsJqHzGNUrZRaNizOohaCasiYVm/hvEyZnMDOyik1bUWuTn1DKMFJ1XSYyuixJZFl4QQQohAjvkJq6AODz5GoYTWPmCrn7AK6vDgrRRKaBUiSDspY5IFPbcXAdtdPbbOsK/nSbYbEr2zJbBec801AOzatYvW1uDW80tPT+eKK64A4C9/+UvE2iaEsF88LawhIs/fwkvuAu3TKuJbBzlAnd/VgN25rx6s1xNC+GdFf6h6DbXH1ko7KORLlkjPreiVLYG1oqKC7u5uLrvsMvbt2xdUnfz8fFe91NTUCLdQCGGHWuAgY2mghAzWkBFC+GilkFZtK4/R7CE3cs0UNgpllWArQ2stcAToCuMa+hZL8fpabAfOal9zTdTfg7pCb1pYbRjL55TwSz5nL+N9zhutEryOYnZzFZ9zCf0o0loi4pn8PsaHnRbPs3UK5O4AACAASURBVJ1EGedpPbctFvTcVgHSY5uYbBsS7HCY2ZbcfD0hROzRwypk0koxqaj7MPamiUJatbDSQAkHKCJXPqTGvd72WTU6b1VoPQJ0o26rYlYb6r7C8foBuQX1398fMLMren/UgNFi8v6djKWZEmA4WxhHLjVku/WY6gssefe8niaHLdyFQg1tlJApoTXuye9j36T33D5iwbWGAQt5W9sbt8KCK4L0+saOmJ3DmpSUBEBXVzh/bxNCxIp2clxhNQX1r+HtFDMYGBIgfNRQSD3FpKN+OO4kkwZKaOcWGR4cx3oLq+B/9WArQmsX6ofjbGCQifr1qCEvuEkusSsT9d8/1ERdBejE3HPQTg5nKaGb4SgMIQ04xRAAsqnzWA3YffXg0+S4ynUwBAdwVt4P4p78PvZtVk30WMpEtrOcA2EuMgXqQlPqfF3psY0FMRtY9T1dz5w5E92GCCEskUYdGayhlWLX0C1VMTeC4UIqes+KXrYS9QNyBmvkw2kcCyas6iIZWkH9cPyciXpzMdcrGYuygS0m6l2POpTTjDTqSOZzOhmH+ziqUwzhasp93g+mUcpurmILd3kc72YIqZTL+0GCkN9HEQ71XWMZP7TgWk7ce2ytdBzrInrfEZHAet555xkeHzp0KGfPng1YNz09nZEjR/Loo4+iKAqff/55JJoohIiCDEpJRe1Zdee+kIrO3wIsWawkWd7s41Y7OVQxz+d4oH1W/YXWKuaRx+txHVbqUYOfmXpWqrT4er1pJ4cuLiGJGroZQrt2PJUayhjPxxR6jLyooZBqxqNQQ4fWw6oASdTQxSWyIJsQwsWqhaaWMpHDFi80tZEl7GUJ0nMbmogE1sOHD/scczgc7NixI+RrrV+/3oomCSFiRH9KtSVU/IdWf2E1n5U0UyrDvuJYGnVcShF7KaGLTCBwWNV5h9ZkmrmUorgNKQ6gSfvvUyav0aRdJxyK9tXeW8EAdc1Io46BFGnTBNSeUjW81tEGfEkxtajvF00U0uh6P6jD4VY+iWMMjOPXgRAidqn/17F2oalnKGMhb9PAEkuuV9VHemwjElj9LZQUygJKra2tPP3006xdu9aqZgkhYsQQSrkRfELpOorZ5mcfxtms5DVK8f1zmIg3A9njCq0jWBP0sF69XBXzuJQiBsbxQjsXAl+iLhRjlkO7jlmZ2qOCuuBNqPSwmhmwlH+j2cMBLbSmUk4n4z0CcAPFNFKI4vV+4KCOdMrp4hLXquFCCBEPfovac2uF7SznY5xaj+1xS66p+oJYW3AqIoF1zpw5Ht+vXbsWRVF4+OGHqa6u9ltPURRaW1s5ceIEH3/8MU1NTX7LCiHim/tCKu78hdVplPKaLS0TdhjIHi43sVDOcErjfhgwwEjtK5pSUbekSUZd8TdUyVp9M2EX1NVcc9njWjDJeG6z7/uB3iMvw4CFEPHIuv7QZTwDPMdyy654lIs4gZP9XEQs9dxGJLB6D+PVe0m3bNkS9D6sQojE5y+0unNfLVQkFrNhQ0JKYtF/nv7mKrtzHz4urwMhRF+nzoRdZtn1JgGp3MBGllBtYthydlg7c/tnyyrBkyZNAozntgoh+rZplPodBjyIWgmrQvQhwymlmkLaDd4P0qgNe1VoIYQQ/qkDgct4xuTc3TTygWMWtkhlS2B955137LiNECIObfUTVkEdHryVQgmtQvQRx/yEVYB2BnOMQgmtQggRYWbXMD4X+CcrG6JJisA1hRAiKP5WA3a3jmK2UmhTi4QQdmsnB/C/P6+7wxRzTHs/0OsJIYRIbLb0sD788MMh19EXYDpz5gwHDhxg9+7dNDY2RqB1Qoho8BdWB1Hr0+PaU056VoRIFLXAQcbSQAnJfE4n433KOKj1WSV4L8X8nas8VgnOtanNVqsFjgBdYVwjGSiAuH0OhBCiN7YE1kceeQRFMbtbm6qjo4OtW7eydOlSDh06ZFHLhBDRUOMnrOoLLBmF2XUU0wFIaBUiMehhtZvhdDJO21e1ZyGlLFYa7MMK3eTQxl0kUUMDJRygiNw43drmCOoqyxlhXKMNqEQCqxAicdkSWKFnD1ZFUXrdj9WoTFpaGtOnT2fq1KlMmzaNN998M2JtFUJEThOF1FNMgddx99WA/a0eXE2xtg2HhFYh4lk7Oa6w2s0QHIDCEJKAVOrIZyVDXL/npdSg/v53kEOXVr6bIQA0UOLaGifedKGG1WxgkIn69cBpoNXKRgkhRIyxJbAmJydz3nnnsWnTJv7pn/6JV199lfXr1/Phhx9SW1uLoijk5eVx+eWXM3v2bG6++Wbef/997rjjDurq6rj00ku54447mDdvHpmZmbz88suMGjWKurr4+5+TEH1ZK4W0Uky613GjrWv8hdZGirXeCAmtQsSrNOq0YcDjcIDbRghDuIFy/t3n97uUX3IVW7jLVbYdNbSmUh6XYdXdIOA5E/XmogZWIYRIZLYE1gEDBrBjxw4uvPBCZsyYwSuvvOJT5vjx42zbto1t27Zx6623smnTJnbs2MHll1/Ozp072blzJ9u2baOsrIyBAweycOFCHn30UTuaL4SwQDs5tDIPUHsVKrXj+azkNUp5zbBWKR2oPSt6PYBW5tHO63H/IVVEXz3qh34z9RJFNJ6DdnLo4hKSqEHRekoBcqlhL+N9VgffSiF7GU8uNZxyK59EDV1cQjs58n6QAOT3UQhhxJbAWlxczEUXXcTvfvc7w7Dq7ZVXXmHVqlUUFRXx4IMPsmyZuiHujh07KC0t5a677uKHP/yhBFYh4kgadQykiAZK6CSTTtQ5as2UEniH5lLSwG0OWzMDKZIPpyIsyahz/05jvoeqTbtOvIrmc5BGHQMoopkS7cgQcqkhW/u91kdWeM9p18+fYgip1ADHyJT3g7gnv49CiEBs2dZmxowZKIrCq6++GnQdPdjeeuutHse3bt0KwKhRo6xroBDCFqPZw0CKgGYyWEkypbRCr1/JlJLBSvSwOjpOF1gRsaMA9X+Awbz+/H0ladeJVwVE9zlIYQ/ZFJHOMW5mvSuM6tZRzE/Y7jMtIJs6bmY96RwjmyJS5P0g7hUgv49CCP9s6WG94IILAGhoaAi6jl72/PPP9zh+5MgRAAYOHGhR64QQdskFctljcoGUUhkGLCyTi6yqGgvPQRp7uJBb+HfqDFcH997iCnrmvB8hh2PUyYJDCSAWXotCiNhlSw9rR4e6GcXYsWODrqOX1evqkpLUJp8+LcsMCBGvzIZOCatCJJ5U7fd6GqXMZmXAsu4LtKXK+4EQQvQJtgTWPXv24HA4WLx4Menp3uuD+srIyGDJkiUoisKePZ5DfUaOHAlAbW1tRNoqhBBCiOiYRimDMP7/+yBqfVYTF0IIkfhsCazPP/88AGPGjOHNN99kzJgxfstecsklHmX+8Ic/eJz//ve/j6IofPbZZ5FrsBBCCCFst5VCw2HAoA4P3kqhzS0SQggRbbbMYV2/fj3Tp09n6tSpTJgwgc8++4xPPvmE3bt3c/LkSQDXPqzf+ta3XPXKysrYsGGD6/uBAwcyY8YMHA4Hr7/+uh1NF0IIIYQNjOawenNfPVgIIUTfYEtgBXW135KSEubOnYvD4eDb3/423/72t33KORwOFEVhzZo13HfffZ6NTUlh2rRpAHz44Ye2tFsIIUTiOstIBnDItnrezO4fmmj7jvoLq4Oo9elx7SknoVUIIfoC2wJrZ2cn99xzD88++yzz5s3juuuu89ma5tChQ/z5z39mzZo1fPzxxz7XqKur45133rGryUIIISKgFjgCdIVxjWTULSzMrix6EDjIrXTyPA42ksq9Qdft4Pco3EEKP2Y0rzDSZBsaGMteShjBGoaHEL6OUUgV87iUIgYmwJYuNX7Cqr7AklGYXUcx6pKMElqFECLR2RZYdZ988gn33qt+MEhLSyM7OxtQV/1tb2+3uzlCCCFsdgToBjLCuEYbUEk4gVUNq5CCwl0kA+cEEVrP8HvauQuATp7nADCSV0K+vx5Wu8jksBbGggmtxyh0ld9LSdyH1iYKqafYZ/9M99WA9Ufv0FpNMWmo+zQLIYRIXLYHVnft/5+9e4+Lssz/P/4ehoOImqLgAUyFTDMsM9BKXa3cbLW0UjNzU7PT5rKFdvy1lR32u9VuB9tMVzuotZhpJzV0ywrNQ+Uhy1OamxihqCiSIgoC1++PYSYQhsMw3DPI6/l4XI+mue/rvj8z94Dz5rrv6y4ocF3DCgBoGIrkCKvNJbXwoP8RSTmSx/ffzFWsK6zaJNkk5ZeE0M6VhNZdmq58jVWAJCPJKFCFelO5+r5GpwcXKNwVVp2qE1pLh1VJKlJjbdU0xXt0X2PfO6kxOqkknX7vgNJh1cldaD2mpJI/fBBaAeBM5dPACgBouFpIet2DfrfLEVg91UQ/yaZ5Mhorm34b6T2qseoq6V8VhNZ7NF0bNda17kk5QqtN82p8LWuwsnW2ZpUJn1LlofX0sOp0tmbVy7BaoHCd1J2SHH/A2FPyfJSmaomStaTCXsk6JcfIqrOfJJ3UnSrQsnr5PjgdkeNz7Uk/ADjTEVgBAA1OkCbKrt9GVp2SS/6/dGi9R9Ndz5cWqrdUVINrX0tzhtLqhFZ3YbWTptbo2ld/EqxsNVOijmqaCtVYhZKaaqrylKy0SnsmK1iOkVWHPDVTYr0Nq47PoOMPMJ7+ESa/ZDsAcKayNLB27dpVd955p/r166eYmBg1bdpUAQGV3wrWGKOgoCCLKgQANBTOa1aPVhJa3YXVSL0laWKtYlJ1QuuZGFadOmuLdpWE1kaaJbuSq3Wat13JaiTHyGozJapzPb6Gt6Mco8uent4u/TYBGQCcqSwLrJMmTdIzzzyjwMBA2Ww2q3YLAIBbnTVRXaVyoTRZY/WBRuhEqetMncboLe3QRO3ywv4rC617NUYFp93SRTozwqrkmDCrlbaowKNrcJPr/WnAkvM9AABUxpLAOmjQID3//POSHCOmX3/9tTZu3Kjs7GwVFxdbUQIAABVynv57emh1F1b/pYm6yov7dxdaz+SwWpqnobO+h1UAQPVYEliTkhz/CB85ckRDhw7V2rVrrdgtAADV4i60luYMq3XBXWgt7UwMqwAAVKXyC0i9JD4+XsYYPfXUU4RVAIBf+pcmKlR5FS4LVV6dhVWnaCUrWFkVLgtWFmEVANAgWRJYGzd2nFa1evVqK3YHAECN3aPpFZ4GLDlOD75H0+t0/xlurlmVHKcHZ2hMne4fAAB/ZElg3bt3ryQpODjYit0BAKpQoHBL+/k7d7MBl5assXUWWt3NBlxampIIrQCABseSa1iXLFmie++9V3369NHXX39txS4BAG4cVXdt1TSdrVk1Os00Q2OUrjsVp0Q1q8WtRArk+GtpkaTjHvQvKtnGKY8rKMv9fVbzyo24/rZe7U4P/p+kNElGUpHGqLjCsJolnTbi+r2StEWOW7vYJMVIivWwhixJP8vxfnrKeUsVT2a69fX+AQD1gyUjrM8//7yOHDmi++67T61bt7ZilwCACjjDapEa12jEzjkCWKTG2qppOqruHtdwouS/Njn+Eappc94YreKrTWtml5uwOkZvKUORGqO3yi1L1ljtquVIa5qkYEmhGiObkmSXyrRmmqrWGqxmmlpumU1JCtUYBUvaXYsafpZULKlRLVqxHPcRrY/7BwDUD5aMsGZmZmrYsGH68MMPtXbtWiUmJmrZsmVW7BoAUKJA4a6w6uQ8DbWykdbTT1d1htZ4j+6f6WAraZ5cKOLsW1u/arryNVaNTnu+9GzA7mYPPqixCpHk6UirkRSgMcpXUrn9R2mqIl3HI1kHJe09bQQ2X0kKkWRqMRFTkRyhr7mkFh70PyIpR9LJerp/AED9YElg/fzzzyVJ2dnZOvfcc7VkyRLl5ORo165dysur/G/kxhgNHDjQijIB4IwWrGydrVnlrpWsLLS6u7bybM3yyn0wO9Z6C545pekq0NhypxlVdOsa9/dpHVsSnGseWos0RsdLwuq5pZ5P1FSNLncckvWOpGmljsOPko4rSaZkeW20kPS6B/1ulyMw1pav9w8A8G+WBNYBAwbIGOP6f5vNphYtWqhXr15u+xhjZLPZyvQDANSOu/t9VhRa3YVVb90PNEfSdR72q41cxcroZkmOkU7nCF2k3tIOTdRVFfaaqGZyjKw6+zn+e7Ny9YKa6Kdq779A4SrWnbKf9nzFYdXB+fy0045Hse5UgZZ55Y8HAAD4I0sC65dffknwBAA/UZ3QWtdhNU+OUzo9ObX3iGp3/WoT/aRATVCh3pRRoIykUL0laaJ2VdpzokLkGFl1KFSgJtQorEqOkW67EmXTNKnk9OzKwqrT6aHVpjzZlUhYBQCc0SwJrJdffrkVuwEAVFNloXWvm/uBeiushsoxy+9xOWa5ralf5JghOLQWNXTWB9olqVBvyqZ5KtLEasa+ibLJMbIaqAnqrA882n+AtqipEnVK05SoWVWGVSfnekm6U82UqGO1mK0ZAID6wJLACgDwP+5Ca12GVckx0VIzSZ3k+bWLaardZDuxkmL1gXL1fY1HSKWJNT4NuCJB2qLOul6jazhCOlrJmqVl2sPIKgCgAbDktjYAAP8UrWR10tRK1/FmWPU3nobO2oZVpyAPQ6en/QAAqG98FljbtWunnj17qm/fvmrU6PRJ/QEAVolWsoKVVeGyYGWdsWEVAAD4P0sDa5MmTfTEE08oPT1d6enpWrdunVasWKFOnTqVWW/UqFF69913NWvWLCvLA4AGKcPNNauS4/TgDI2xuCIAAAAHy65hjY2N1bJlyxQTEyOb7bd5ISuaPfirr77S22+/rYCAAM2dO1dr1qyxqkyvCAsLU8+ePdWrVy/16tVLCQkJrlC+Z8+ecgEdAHzF3WzApVV2n1YAAIC6ZElgDQ4OVkpKimJjY3X8+HG9+uqr+vLLL/Xxxx9XuH56erpSU1N15ZVXaujQofUusC5ZsoSZkQH4PXdhNVhZ5UZcCa1145TCJQ+uR/W0HwAA9Y0lgfVPf/qTOnfurOPHj6tfv376/vvvq+yzbNkyDRw4UJdeeqkFFXpX6RHk7OxsbdiwQZdeeqmaNm3qw6oAQMqS9LOk4xqjExWE1VBNlZSs4gqWb1WSfpIUpmR1lNSq7sutM873oagW27BLtXofTqm7tmua3qnBbW0k6R2N0XbdqSAlSrW4rU2BHNcFFclxi6GaKirZxikP9++8l26hpKMe9C+UY6bo2tyTFwDg/ywJrDfccIOMMXr55ZerFVYlafPmzZKkzp0712VpdWLevHmaNWuW1q1bp59+cswkmZaWRmAF4HM/S8rTGJ1UkmynLWuqqQorCU6NlKwgScdOC63OfnuUXK8D68+SiiXVZsq/fEl75FlgLVZ3HdU0haixppW8x9UJre9ojKYpScWSjmqaTC1C6wk5Xr9Nnk1o4fz8eBoYT0gKK9mOJ19GbCXthIf7BwDUD5YE1m7dukmSPv3002r3OXz4sCSpefPmdVJTXXrttdd8XQIAVOh4SVgNlGOE0ClKU9W6XGBK1gFJe0uF1iJJJ5QkU7K8viqSI6w1l9TCg/5HJOXIs3vBFihcRZomuxq7nqtOaHWGVSejxirSNBXoegV7eHqwM/QF16Kvp4x+C8shHvQPKOlffiYMAMCZxJLA6hxZ/PXXX6vdx3mrm1OnPD3ZCABQWoHCdVJ3SvrtdFZJGqepGuY2KCVrkaS5JUFpj5ynYt6pAi3zOChJjtB3u4f9vKWFpNc96He7HIHVE8HKVoBmSUpSoaQfS56/R0l6TlJkBcfioMaU+cNBYcl/AzSrVsdAcryOyqfdct/PG3IkTfLh/gEA/s2SwHr48GG1adNGrVu3rnaf7t27S5IOHDhQV2UBQIMSrGw1UaLyNE0qGd2rPKw6OJc7Q2uA8tRYiR4HJbscp9PmyPPQka+yI8T1TaCSZZNUWBJanX5SkvZLCi11TE5ojI5XECkDNVWmlqPceXL8AcCTkdIjqv31oyfkmDoqyIO+2eJ0YABoCCy5D+t3330nSbryyiur3WfChAkyxuibb76pq7IAoMEJ1BY1V6IClFetsOo0TMkap6kKUJ6aK1GBtZjsp6Mc//icrEUL0G8jxPVRjCSjZBlNVZFUph1VkrI0RtmSsjRGR5VUbh1TElZjalFDqBwTJh2X49TomrbjJf1DPdy/8w8XeZIiPGh5qv9/uAAAVM2SEdYPPvhAf/jDH3TXXXdp+vTpSk9Pr3T9xx9/XL1795YxRu+++64VJdY7UVFRlS5v27atRZUAqG+CtUUxul7DajhCOkzJ+kDLlKFsj67ddGql+j3DsDfEljQpWRlSBbcXSlKwxpS7vZAkddJUr9xeKFhSM0md5Plp0Wny7DpeyfFHhxaSOkv6yIP+V0naJW7uAwBnOksC65w5czR58mR17dpVK1eu1J///GctXbrUtdwYI5vNpj59+ujBBx/U4MGDZYzR+vXrtWTJEitKrHcyMjJ8XQKAeizIw6/5nvaDe87weXporcuwCgBAfWFJYC0uLtbQoUO1Zs0anX322Vq8eLHy8n678mXJkiVq3bq1Gjd2XFNls9m0b98+jRw50oryAADwKXehtTTCKgCgIbLkGlZJ2r17t3r06KGUlBTZbDaFhYVJcoTTmJgYhYWFyWazyWaz6dNPP1VCQkKdjiLa7XYZY2rdxo0bV2c1ViY6OrrSlpCQ4JO6AACeiVaygpVV4bJgZRFWAQANkiUjrE4HDhzQ0KFD1a1bNw0bNkzx8fGKjIyU3W7X4cOHtWnTJi1atEgbN260sqx6ae/evb4uAQDgRRlurlmVHKcHZ2gMoRUA0OBYGlidtm/fru3bt/ti1y5FRUXq2rVrrbeTmZnphWoAAA1ZhsZUejqw9NvpwoRWAEBD4pPA6i927tzp6xIAWChL0s9y3BbEU3Y5bqfi6Sy3/5NjZlVTixpsctwWJdaDvgWSckva7R703yLHrLDBHvR18ofj4E/chdVgZZUbcSW0AgAamgYdWAE0LD9LKpbUqBbbyJe0R54HpTQ5wl5YLWo4Lmm3PAusJ+R4/WGScjzoHyZH0DzhQV8nfzgO/sJdWHVOsFTRckIrAKAhIbACaDCK5AhJzeW4/2NNHZEj5NXmHqRGjtDXqhY1SI7A5qnGJfv25G7NRlKhavce+MNx8AdVhVXJ/ezBhFYAQEPh1cBaWFjozc1JctyjNSgoyOvbBdBwtZD0ugf9bpdno5LuavjUg35XSTrkhf03l/SRh/uveB7bmvOH4+Ar1QmrToRWAEBD5tXAarPZvLm5eis2NlZ9+/Yt81yTJk1c/z39Vjj//e9/deDAAcvqAwDJcUptQ3dEnl3Le6TqVdwqULjSdWe55yu7z6q70JquOxWpZQpWtsf1+OI9OH07V/lw/wAA/+bVwPrkk096c3P1Vt++fTVnzpwKl7Vq1arcsgEDBhBYAVjGlLSCWvSt7+xynFadI89Ha/NLtlNTwcpWnBK1VdNUpMaSKg+rTqeHVrvyFKdEj8OqL98DyTF52PGSx56eNXC8ZDsAgDOXVwPrU0895c3NAQC8rHHJf40cEx/VlDOsNq50Lf/XUY4R5tpcB+ucqdgTzbTFFVrP1qxqn9brXC9ddypOiWqmLR5W4Pv3IEaOycNqcz22c8ZsAMCZi0mX6sDcuXM1d+5cX5cBAOUEyTFLsV2ezVRsL+nvSdj1J63k+xmGm2mL4nV9jUdIo5Vc69OAJd+/B7HybKZrAEDDEuDrAgAAaKg8DZ21DasAANQXBFYAAAAAgF8isAIAAAAA/BKBFQAAAADgl5h0CQAAWC5L0s+SimqxDecsxb6eQAsAUHcIrAAAwHI/yzHbdKNabCNfjlvzEFgB4MxFYAUAAJYrkiOsNpfUwoP+RyTlqHb3kQUA+D8CKwAA8JkWkl73oN/tcgRWAMCZjcAKoME5IseXXU/6ebOGq3xYg7+8B76uAQAA+DcCK4AGwy7HNW858nxkJr9kO56ySTpe8viQh9s4XrIdT/jDe+APNQAAgPqBwAqgwegoxwQttbnmzTkrqadiJO2WI3B5ylayHU90lO/fA3+oAQAA1A9eDay33HKLNzfn8vbbb9fJdgE0LK3k+9lEY0uar/jDe+APNQAAgPrBq4F1zpw5MsZ4c5MyxhBYAQAAAKAB8vopwTabp1dWAQAAAADwG68G1k6dOnlzcwAAAACABsyrgTU9Pd2bmwMAAAAANGABvi4AAAAAAICKEFgBAAAAAH6JwAoAAAAA8EtenyW4KjExMRo6dKguvPBCtWrVSqGhoZXOLGyM0cCBAy2sEAAAAADgDywLrKGhoXr11Vd1yy23lAuoNput3P1bnet4+76uAADAfxyRdLuH/QAAZz7LAuuHH36ogQMHymaz6dChQ8rIyFCPHj1kjNGqVavUokULdenSRUFBQTLGaOfOndq/f79V5QEAAAvZJeVLyilpnsgv2Q4A4MxlyTWsI0eO1O9//3tJ0pNPPqk2bdpo7NixruUDBgzQhRdeqPDwcE2aNEnHjx9XeHi4HnvsMV1xxRVWlAgAACzUUY4vISdr0QJKtgMAOHNZMsJ68803S5K++uorPfXUU5IqPtU3Ly9P//rXv7R27VqtXLlSH3zwgXr06KHMzEwrygQAABZpVdIAAKiMJSOs8fHxMsbotddeq9b6GzZs0IwZM9SqVSvdc889dVwdAAAAAMAfWRJYW7Vy/A119+7drudOnTrletyoUaNyfVJSUiRJ11xzTR1XBwAAAADwR5YE1sLCQknSsWPHXM+VftymTZtyfX799VdJUvv27eu4OgAAAACAP7IksO7bt0+SFBER4Xpu//79OnHihCSpZ8+e5fqcc845kqTAQMtvFQsAAAAA8AOWBNbvv/9ektS9e/cyz3/zzTeSpIkTJ5Z53m63a9KkSZKkXbt2WVAhAAAAAMDfWDJ8LPGFNgAAIABJREFU+cUXX2j48OG6+uqr9dJLL7mef/PNNzVgwAANGDBAK1as0IIFC9S4cWPddNNNuuiii2SM0YIFC6woEQDQgGRJ+llSUS22YZfjlirMdAsAQN2xSSp/fxkva926tfbu3avi4mJ16dJFaWlprmUpKSm6+uqry93mxmazadOmTerTp4/y8/PrusQzTlRUlDIyMiRJ46OjdXjvXh9XBAD+Y4OkYkkhtdhGvhynKcV7pSIAAOq3llFRmlOSP6Kjo7XXS/nDkhHWAwcOKCgoSDabTcXFxWWWXX/99Xr00Ud12223uSZfysnJUXJysv76178SVgEAXlckqZGk5pJaeND/iKQcSSe9WRQAACjHshmNjDHlRlElqaCgQI8//rgef/xxtWjRQoGBgcrKyrKqLABAA9ZC0use9LtdjsAKAADqll9NwXvkyBFflwAAAAAA8BOWzBIMAAAAAEBN+WSEtWfPnho4cKDi4uIUHh4uScrOztbWrVv12Wef6dtvv/VFWQAAAAAAP2JpYL344ov16quvKj7e/ZyKf//737Vhwwb9+c9/1saNGy2sDgAAAADgTyw7JXjkyJFas2aN4uPjZbPZZLPZdOrUKR04cEAHDx7UqVOnXM8nJCRozZo1GjFihFXlAQAAAAD8jCWBtUuXLpo7d66CgoJUVFSkGTNmKCEhQWFhYYqKilK7du0UFham+Ph4zZgxQ4WFhQoKCtJbb72lLl26WFEiAAAAAMDPWBJYH3roIYWEhOjkyZO66qqrlJiYqG+//bbMPVmLi4u1adMmJSYm6ve//71Onjyp4OBgPfjgg1aUCAAAAADwM5YE1iuvvFLGGE2dOlUrV66scv0vv/xSU6dOlc1m08CBAy2oEAAAAADgbyyZdCkiIkKStHTp0mr3SUlJ0cMPP+zqCwCovSxJP0sqqsU27JI6SmrljYIAAAAqYUlgzcrKUlRUlE6ePFntPvn5+ZKkQ4cO1VVZANDg/CypWFKjWmwjX9IeEVgBAEDds+SU4DVr1kiSEhISqt2nV69ekqTVq1fXSU0A0BAVSQqR1FxSJw9a85L+tRmhBQAAqC5LRlhffPFFDR8+XI888ojee++9KkdNIyIi9P/+3//TqVOn9NJLL1lRIgA0KC0kve5Bv9sl5Xi5FgAAAHcsCawbNmzQXXfdpX//+9/65ptvNHnyZC1evFjGmDLr2Ww2XXvttXrxxRcVERGhu+++W+vXr7eiRABAA3REjhDuST8AAFD3LAmsb7zxhiRp+/btuvDCC/X+++/ryJEj2rRpkw4ePChjjFq3bq0ePXooPDxckvT999+rb9++6tu3b4XbNMbo9ts9+ZoBAGjo7HJci5sjz0eM80u2AwAA6o4lgXX8+PGu0VRjjGw2m8LDw3XFFVeUWc9ms7nWufDCC3XhhRdWuD2bzUZgBQB4rKMcE0dVfyrA8pyzJQMAgLpjSWBNT08vd/ovAAC+0krMcgwAQH1gSWDt1KmTFbsBAAAAAJxBLLmtDQAAAAAANUVgBQAAAAD4JZ8G1vDwcEVHRysggNwMAAAAACjL0qQYEBCg8ePHa+XKlcrLy9PBgweVlpamLl26lFlvyJAheu655/TII49YWR4AAAAAwI9YMumSJEVEROijjz5S7969XbevcSctLU2LFy+WMUYpKSn6/vvvLaoSqBtZkn6WVFSLbThvocHMpp7jOAAAANQvloyw2mw2LV68WJdccomMMVqwYIESExPdrr99+3Z99dVXkqTrr7/eihKBOvWzpGJJjWrRiuW4byQ8x3EAAACoXywZYR07dqx69eqlU6dOaejQofr0008lSdOmTXPbZ8mSJbr00kvVt29fK0oE6lSRHGGnuaQWHvQ/IilH0klvFtUAcRwAAADqF0sC6+jRo2WM0cyZM11htSqbNm2SpHLXtwL1WQtJr3vQ73Y5ghK8g+PgCN+3e9gPAADAKpYE1h49ekiSFi9eXO0+Bw8elCS1bNmyTmoCgIbILilfjuDtafjOL9kOAABAXbMksDZv3lzSbyG0OoKCgiRJxcXFdVITADREHeW4Brc2pzU7J54CAACoa5YE1iNHjigiIqJGo6XOU4GzsrLqqqw60759ew0ZMkQDBgxQjx49FB0dLbvdrkOHDmnjxo2aP3++Fi5cqKKi2sxVCgA110rMcAwAAOoPS2YJ3r59uyTVaAKlm2++WcYYbdy4sa7KqhNPPvmk9uzZoxkzZmjUqFHq0qWLwsLC1KhRI0VHR2vYsGF655139NVXX6l9+/a+LhcAAAAA/JYlgXXx4sWy2WyaOHGiWrSoem7O8ePHa9CgQZKkDz/8sK7L86p27dopICBAubm5evvttzV+/Hj16dNHF198sf74xz9q3bp1kqSEhAR99tlnCgsL83HFAAAAAOCfLAmsM2fO1L59+xQZGanly5erW7duFa4XHR2tf/3rX3rttddkjNGuXbs0b948K0r0msOHD+vBBx9U27ZtNXbsWM2dO1dr167Vt99+q+TkZF166aV69913JUnnnnuuJk2a5OOKAQAAAMA/WRJYT548qeuvv155eXnq0aOHNm/erG3btrmW//vf/9b27du1Z88eTZw40TVCOWLECBljrCjRax5++GH985//VG5uboXLi4uLNXHiROXn50uSRowYYWV5AAAAAFBvWBJYJWnDhg267LLLtHXrVtlsNnXt2tW1rE+fPurSpYtsNptsNpt++OEH9enTp0yoPZNkZ2dr8+bNkqTY2FgfVwOgISpQuKX9AAAAPGHJLMFOW7duVY8ePTR48GANGzZM8fHxioyMlN1u1+HDh7Vp0yYtXrxY77//fr0bWa2pkJAQSdy2B2hosiT9LKk2c4Q7byvj6Wy/R9VdWzVNZ2uWopVc7X4ZGqN03ak4JaqZtni4dwAAgOqzNLA6LV26VEuXLvXFrv1CRESEzjvvPEnSjh07fFwNACv9LKlYUqNabCNfjnupehJYnWG1SI2VpiRJqlZozdAY1/pbNY3QCgAALOGTwNrQPfDAAwoKCpIkLViwwKNtREVFVbq8bdu2Hm0XQN0qkiOsNpdU9Zzp5R2RlCPppAd9CxTuCqtO1QmtpcOqJBWpsbZqmuJ1vYKV7UElAAAA1eNXgTU4OFjNmzdXVlbWGXtKcK9evZSU5Pji98svv2j69OkebScjI8ObZQGwWAtJr3vQ73Y5AqsngpWtszWrTPiUKg+tp4dVp7M1i7AKAADqnCWBNSwsTL/73e8kSV9++aWOHz9eZnnLli01c+ZMXXPNNQoMDFRubq5ee+01PfLIIzp16pQVJVoiMjJS7733noKCglRcXKxx48bpxIkTvi4LFjoiR+DwpB+8pyEfB2corU5odRdWO2lqja59BQAA8JQlgXX48OGaPXu20tPTFRMTU2aZzWbTsmXL1LNnT9lsNklS06ZNNWnSJJ199tkaNWpUndRkt9tVWFhY6+2MHz9ec+fOrXK9Jk2aKCUlRe3bt5ckPfLII0pNTfV4v9HR0ZUub9u2rdavX+/x9uFddjmuO8yR56Nj+SXbgec4Dg7VCa2EVQAA4A8sCayDBg2SpApn/x01apQuvvhiGWP07bffauXKlerfv7969uyp4cOHa9CgQfrkk0+sKLPOhISEaNGiRYqPj5ckvfDCC3ruuedqtc29e/d6ozRYpKMck+R4ct2hk3NmWHiuozgOTpWF1r0aowJFlOtDWAUAAFazJLDGxcXJGKOvvvqq3LJbbrlFkrRx40ZddtllKioqUmBgoFatWqWEhASNHTu2TgJrUVFRmXvBeiozM7PS5Xa7XQsWLNAVV1whSXrttdd0//3313q/qF9ayfNbkMB7OA5luQuthFUAAOAvLAmsERGOLz8///xz2Z0HBqp///4yxmj69OkqKnLcmbCwsFD//ve/1atXL/Xu3bvO6tq5c2edbVtynO789ttva+jQoZKk+fPn66677qrTfQJATbgLraURVgEAgK8EWLGT8PBwSSo3gVJ8fLxCQ0MlScuWLSuz7Mcff5QktWnTxoIK68bMmTM1evRoSdKSJUt0yy23nLGzHwOov6KVrGBlVbgsWFmEVQAA4DOWBFbnTLiRkZFlnu/fv78k6aefftLBgwcr7FNfvfDCC7rjjjskSZ999plGjBjhlUmeAMDbMtxcsyo5Tg/O0BiLKwIAAHCwJLD+9NNPkqQBAwaUef7666+XMUYrV64s18d5GvHpQbY+mDJliiZPnixJWrNmjYYNG6aCggIfVwUA5bmbDbi0NCURWgEAgE9Ycg3r8uXLddFFF2nixIlatWqVVq1apVtvvVUJCQkyxmjJkiXl+lxwwQWSpH379llRotckJibqiSeekCRlZGTowQcfVKdOnSrts3PnTkZfAVjOXVgNVla5EdeK7tMKAABQ1ywJrC+//LL+9Kc/qWnTpvr444/LLPvhhx8qDKxDhgxxO7OwPxs+fLjrcXR0tNasWVNln44dO5abkAoA6lJV91mtaDmhFQAAWM2SU4L379+va6+9Vvv375fNZnO13bt3a8SIEeXWj4mJUb9+/SQ5RmcBAN5TVViVHKG0k6aWW4fTgwEAgJUsGWGVpNWrV6tTp07q06eP2rRpo8zMTK1evdp1K5vS2rZtq6efflqSKry+1Z9dfvnlvi4BANyqTlh1cnfLG0ZaAQCAVSwLrJLjtjYrVqyocr01a9ZU61RaAKivjki63cN+nipQuNJ1Z7nnK7vPqrvQmq47FallClZ2LSoCAAConKWBFQAaOrukfEk5Jc0T+SXbqalgZStOidqqaSpSY0mVh1Wn00OrXXmKUyJhFQAA1DlLrmEFADh0lOMX78latICS7XiimbYoTomyK69aYdXJeU2rM6w20xYPKwAAAKg+RlgBwEKtSpovNdMWxev6Go+QRiuZ04ABAIClGGEFgAbI09BJWAUAAFYisAIAAAAA/BKBFQAAAADglwisAAAAAAC/RGAFAAAAAPglAisAAAAAwC8RWAEAAAAAfonACgAAAADwSwRWAAAAAIBfIrACAAAAAPwSgRUAAAAA4JcIrAAAAAAAv0RgBQAAAAD4JQIrAAAAAMAvEVgBAAAAAH6JwAoAAAAA8EsEVgAAAACAXyKwAgAAAAD8EoEVAAAAAOCXCKwAAAAAAL9EYAUAAAAA+CUCKwAAAADALxFYAQAAAAB+icAKAAAAAPBLBFYAAAAAgF8isAIAAAAA/BKBFQAAAADglwisAAAAAAC/RGAFAAAAAPglAisAAAAAwC8RWAEAAAAAfonACgAAAADwSwRWAAAAAIBfIrACAAAAAPwSgRUAAAAA4JcIrAAAAAAAv0RgBQAAAAD4JQIrAAAAAMAvEVgBAAAAAH6JwAoAAAAA8EsEVgAAAACAXyKwAgAAAAD8EoEVAAAAAOCXCKwAAAAAAL9EYAUAAAAA+CUCKwAAAADALxFYAQAAAAB+icAKAAAAAPBLBFYAAAAAgF8isAIAAAAA/BKBFQAAAADglwisAAAAAAC/RGAFAAAAAPglAisAAAAAwC8RWAEAAAAAfinQ1wWciQYPHqyEhAQlJCQoJiZGEREROuuss5Sbm6vdu3drxYoVmjVrln788UdflwoAAAAAfssmyfi6iDOJ3W5XYWFhlesVFBTo8ccf13PPPVcndURFRSkjI0OSND46Wof37q2T/QAAAABAy6gozSnJH9HR0drrpfzBCGsdyMnJ0YoVK/TNN99o9+7dyszMVF5entq1a6cBAwZowoQJat68uZ599lnl5ORo5syZvi4ZAAAAAPwOI6x1ICAgQMXFxW6Xd+zYURs3blR4eLgOHjyotm3bVrq+JxhhBQAAAGCVuhphZdKlOlBV+NyzZ4/effddSVJkZKS6du1qRVkAAAAAUK8QWH3k+PHjrseNGjXyYSUAAAAA4J8IrD7QqFEjDRs2TJJUVFTEbMEAAAAAUAECq0UCAwPVvn17jRo1SmvXrlXnzp0lSbNnz1Zubq6PqwMAAAAA/8MswXWoQ4cO2rNnj9vly5cv13333efRtqOioipd3rZtW4+2CwAAAAD+gsDqA4cOHVJiYqIWLlzo8ezAzhmAAQAAAOBMRWCtQ3v37lVcXJwkxynBUVFRuvrqq3Xbbbdp+vTpiomJ0TPPPOPjKgEAAADAPzXY+7Da7XYVFhbWejvjx4/X3Llza9Sne/fuSk1NVcuWLfXmm2/qtttuq/F+q3NK8Pr16x01ch9WAAAAAHWoru7DygirD2zZskWPPvqoZsyYoQkTJmj+/Plavnx5jbbhrQ8AAAAAAPirBhtYi4qK1LVr11pvJzMz06N+ixYt0owZMyRJI0aMqHFgrYrdbnc9bsEETAAAAADqUOnMUTqL1FaDDayStHPnTp/tOysry/W4Q4cOXt9+ZGSk6/FLJacGAwAAAEBdi4yMVHp6ule2xX1YfaT0NajchxUAAAAAymvQI6y+NHLkSNfjLVu2eH37mzdvVkJCgiTp4MGDKioq8vo+6pPSk1AlJCR4fCo3rMHxql84XvULx6v+4FjVLxyv+oXj5X12u911lufmzZu9tl0Cq5cNGzZM33zzjfbv3+92nX79+unxxx+XJJ06dUrvvPOO1+soKCjQhg0bvL7dM0FmZiaTVtUjHK/6heNVv3C86g+OVf3C8apfOF7e463TgEsjsHrZddddp3fffVcpKSn6/PPPtW3bNuXk5CgkJESxsbG69tprdeONN7ouRH766af1448/+rhqAAAAAPA/BNY6EBISohtuuEE33HCD23Xy8vL02GOP6cUXX7SwMgAAAACoPwisXnb//fdr6dKluuKKK9SzZ0+1adNGkZGRKi4uVnZ2trZt26YvvvhCb731VqWnDQMAAABAQ0dg9bLDhw9r4cKFWrhwoa9LAQAAAIB6jdvaAAAAAAD8EoEVAAAAAOCXCKwAAAAAAL9kk2R8XQQAAAAAAKdjhBUAAAAA4JcIrAAAAAAAv0RgBQAAAAD4JQIrAAAAAMAvEVgBAAAAAH6JwAoAAAAA8EsEVgAAAACAXyKwAgAAAAD8EoEVAAAAAOCXCKwAAAAAAL8U6OsCAF8bPHiwEhISlJCQoJiYGEVEROiss85Sbm6udu/erRUrVmjWrFn68ccffV0qJLVv315DhgzRgAED1KNHD0VHR8tut+vQoUPauHGj5s+fr4ULF6qoqMjXpUJSWFiYevbsqV69eqlXr15KSEhQp06dJEl79uxxPYY12rdvr3vuuUdDhgzR2Wefrfz8fP3vf//TggULNH36dJ04ccLXJTZ4ERERZX5eEhIS1KpVK0nSnDlzdOutt/q4QjhddNFFuvrqq9WvXz/FxcUpMjJSp06d0r59+7R27Vq98cYbWr16ta/LhKSmTZu6vu/Fx8crKipKERERCg0NVU5OjrZv366lS5fqjTfeUHZ2tq/LRQUMjdZQm91uN9WRn59vHnroIZ/X29Dbk08+aYqKiqo8XuvWrTPt27f3eb00mS+++MLtcUpLS/N5fQ2pDR482Bw5csTt8fjhhx9Mp06dfF5nQ2+VmT17ts/roznaihUrqvy3yBhj5s6da4KCgnxeb0NvV155ZbWO18GDB81VV13l83ppZRsjrGjwcnJytGLFCn3zzTfavXu3MjMzlZeXp3bt2mnAgAGaMGGCmjdvrmeffVY5OTmaOXOmr0tusNq1a6eAgADl5ubqww8/1Oeff65du3bp5MmTOu+883TPPfe4RiU+++wz9ezZU8ePH/d12Q2azWZzPc7OztaGDRt06aWXqmnTpj6squG54IILtGDBAoWFhenYsWN65plnlJqaqtDQUN10002688471bVrV6WkpCghIYGfGz+Rnp6uH374QYMGDfJ1KThNVFSUJGnv3r1auHChVq1apfT0dNntdl166aW67777FB0drbFjxyowMFBjxozxccVIT09XamqqNm7cqF9++UWZmZkKCAhQdHS0RowYoRtuuEERERFavHixEhIStGXLFl+XjFJ8npppNF+2gICASpd37NjRHD582BhjzIEDB6pcn1Z37dlnnzUPPPCAadKkidtjOX/+fNdfSh999FGf19zQ2x133GFGjx5tYmNjXc+lpaUZYxhhtbI5R7oLCgrMJZdcUm75/fff7/q5eeyxx3xeb0NuTzzxhBkyZIiJjIw0kkyHDh0YYfXDtmTJEjNy5Ei33wlatmxpduzY4Tp2ffv29XnNDblV57vbsGHDXMfrvffe83nNtDLN5wXQaH7fpk+f7vol1q1bN5/XQ3PfwsPDzcmTJ40xxnz33Xc+r4dWvhFYrW3x8fGu318zZsyocB2bzWa2bdtmjDHm8OHDJjAw0Od10xyNwFp/25AhQ1zHburUqT6vh1Z12759u+vUYF/XQvutMUswUA2lT49r1KiRDytBVbKzs7V582ZJUmxsrI+rAXzvuuuucz2ePXt2hesYY/TWW29JksLDwzVgwAArSgPOaCtWrHA95t+j+sH5fY/vev6FwApUoVGjRho2bJgkqaioiNmC64GQkBBJUnFxsY8rAXyvX79+kqTc3Fxt3LjR7XorV650Pe7bt2+d1wWc6YKDg12P+ffI/3Xt2lU9evSQJO3YscPH1aA0AitQgcDAQLVv316jRo3S2rVr1blzZ0mO0Ync3FwfV4fKRERE6LzzzpPEPziAJNfPw//+979Kb/dU+ufF2QeA5/r37+96zL9H/ik0NFTnnHOOJk2apNTUVAUGOuajffnll31cGUpjlmCgRIcOHbRnzx63y5cvX6777rvPuoLgkQceeEBBQUGSpAULFvi4GsC3QkJCFBERIUnKyMiodN2cnBzl5uaqSZMmat++vRXlAWcsm82mhx9+2PX//HvkP8aNG6c5c+a4Xf7Pf/5TycnJ1hWEKjHCClTh0KFDuummm3T11Vfr6NGjvi4HlejVq5eSkpIkSb/88oumT5/u44oA3yp9+6DqnB3ivH6rSZMmdVYT0BBMmjRJvXv3liR98MEHlZ6OD/+wadMm9e7dWw8++KCvS8FpGGEFSuzdu1dxcXGSHKcER0VF6eqrr9Ztt92m6dOnKyYmRs8884yPq4Q7kZGReu+99xQUFKTi4mKNGzdOJ06c8HVZgE+VnjikoKCgyvXz8/MlOU6TA+CZ3/3ud3r22WclSQcOHNDdd9/t44pQ2kcffeT6vhcaGqrY2FjdeOONuuGGG5ScnKykpCSlpKT4uEqczudTFdNoVTW73W68Ydy4cTXed/fu3c2hQ4eMMca88cYbPn8v6kOz+ng1adLErF+/3tXvoYce8vl7UJ+a1ceL29pY11q1auU6Pu+8806V6+/fv98YY8zmzZt9XjvN0bitTf1q3bp1c927/cSJE+Z3v/udz2uiVa/98Y9/NEVFRaawsNCj74u0umucEgxUYcuWLXr00UclSRMmTNDvf/97H1eE0kJCQrRo0SLFx8dLkl544QU999xzPq4K8A/Hjh1zPa7Oab5hYWGSqnf6MICyOnbsqE8//VTh4eEqLCzU6NGj9eWXX/q6LFTTf/7zHy1cuFB2u13Tpk1T8+bNfV0SSnBKMOqFoqIide3atdbbyczM9KjfokWLNGPGDEnSiBEjtHz58lrXciaz6njZ7XYtWLBAV1xxhSTptdde0/3331/r/TY0vv75Qt3Jz89XVlaWIiIiFB0dXem6zZs3d4XaX375xYrygDNG27Zt9dlnnykqKkrFxcWaMGGCPvroI1+XhRpatGiRRo0apSZNmugPf/iD3nnnHV+XBBFYUY/s3LnTZ/vOyspyPe7QoYPP6qhP6vp42Ww2vf322xo6dKgkaf78+brrrrvqdJ9nMl/+fKFu/fDDD4qIiNA555wju93u9tY2pf9o8cMPP1hVHlDvtWzZUsuXL1dsbKwk6S9/+YvefvttH1cFT/B9zz9xSjBQDVFRUa7HnCrnH2bOnKnRo0dLkpYsWaJbbrlFxhgfVwX4n9WrV0tynBJ88cUXu12v9D0j16xZU+d1AWeCZs2a6ZNPPtH5558vSXrooYeYob4e4/uefyKwAtUwcuRI1+MtW7b4sBJIjutU77jjDknSZ599phEjRqiwsNDHVQH+qfRpibfeemuF69hsNo0dO1aSdOTIEaWmplpSG1CfhYaGKiUlxfWHoL/97W/6xz/+4eOqUBt83/NfPp/5iUbzVRs2bJhp06ZNpev069fPHD161BhjTEFBgTn33HN9XndDblOmTHHNmLl69WrTuHFjn9dEq1ljlmDr28qVK12/wy655JJyy++//37Xz9WUKVN8Xi/tt8Yswf7ZgoKCzH//+1/XsXnppZd8XhPNfRs3bpwJCQmpdJ2kpCTX8dy9e7ex2+0+r5vmaLaSB0CDNHv2bI0ePVopKSn6/PPPtW3bNuXk5CgkJESxsbG69tprdeONN8put0uSHn/8cT399NM+rrrhSkxM1CuvvCJJysjI0KhRo/Trr79W2mfnzp2MvvpQbGys+vbtW+a5559/Xq1atdKhQ4fKTZL13//+VwcOHLCyxAahR48eWrNmjRo3bqxjx47p73//u1JTUxUaGqqbbrrJdf33zp07FR8fz6lwPtSnTx+dc845rv9v1aqVnn/+eUmO07tff/31MuvPnTvX0vrg8N5772n48OGSpM8//1xJSUmVXpZSUFCgXbt2WVUeTpOWlqamTZvq/fff1+rVq/XTTz8pNzdXTZs2Vffu3TVmzBjXv1X5+fkaMmSIPv/8cx9XjdJ8npppNF+12bNnV+v+ksePHzeTJ0/2eb0NvaWmplbreJXWoUMHn9fdkNu4ceNqdLz69+/v85rP1HbNNdeYnJwct+/9jh07TGxsrM/rbOituv8uOfm63obaaoozSnzbnGf2VCU9Pd0MHDjQ5/XSyjZmCUaDdv/992vp0qW64oor1LNnT7Vp00aRkZEqLi5Wdna2tm3bpi+++EJvvfWW9u/f7+sMxuNBAAAaq0lEQVRyAcBjH3/8sS644ALde++9GjJkiKKjo1VQUKD//e9/WrhwoaZNm6YTJ074ukwA8Lorr7xSAwcO1OWXX67zzjtPrVu3VsuWLXXy5EkdOHBA3333nT7++GMtWLCA34N+iFOCAQAAAAB+iVmCAQAAAAB+icAKAAAAAPBLBFYAAAAAgF8isAIAAAAA/BKBFQAAAADglwisAAAAAAC/RGAFAAAAAPglAisAAAAAwC8RWAEAAAAAfonACgAAAADwSwRWAAAAAIBfIrACAAAAAPwSgRUAAAAA4JcIrAAAAAAAv0RgBQAAAAD4JQIrAAAAAMAvEVgBALXSoUMHGWNkjNG4ceN8XU45qampMsYoNTW1VttxvsYpU6bUajuzZ8+WMUZpaWm12k5V+vfv76q5dKtt/Q2Jv3+2K1PZ8R43bpxreYcOHXxQnXdU9bNd0ee/tr8HAFiPwAoAAAAA8EsEVgAAasnfR6xuvfVWxcXFKS4uTtOnT/fqtq0aMQZqyvmZj4uL0/r1631dDgAPBfq6AAAA6tLll1/u6xJ8Li0tTdu2bfN1GfATc+fO1dy5c31dRp0r/Zk/fvy4DysBUBuMsAIAAAAA/BKBFQAAAADglwisAFALbdu21TPPPKONGzcqJydH+fn5yszM1ObNmzVv3jyNGzdOTZs2dds/NDRU9957r7744gvt379f+fn5OnDggD755BONHz9eAQHuf02npaXJGKPZs2dLkuLj4zVv3jylp6frxIkTSk9P1+zZs9W1a9dKX0ObNm109913a+HChfrxxx+Vm5urkydPKiMjQx999JFuvPFG2Ww2z96gati6dauMMZo3b16Fy8eMGeO6PnTz5s0VrnPhhRe61hk8eHCZZdWdJfjmm29WamqqsrOzdezYMW3ZskVPPPGEzjrrLLd9nDPxzpkzx/Xcnj17ys1M2r9/f7fbOOuss/Tkk09q69atys3N1ZEjR7Ry5UrdfPPNldbrbSEhIfrLX/6i1NRUZWVlqaCgQIcPH9YPP/yglJQUJSUllbk+d8qUKTLGaPz48ZKkjh07Vjgra2lBQUG65ppr9Morr2jdunXKzs5WQUGBDh06pK+//lpTpkxRy5YtK63z9M99ly5dNGvWLKWlpenkyZPav3+/PvjgA/Xu3bvK1xwQEKCJEyfq66+/1q+//qqcnBxt3LhR9913n4KDg6v1vvXu3VtPP/20UlNTlZmZqfz8fP3666/atm2bpk+frvPOO6/S/qdfA9ymTRs9++yz2rp1q44ePer28+PJ59WpsmuunfVUt7n7bNfmd5vTJZdcooULFyozM1MnTpzQ7t27NXPmTJ177rlV9gVwZjE0Go1Gq3nr27evycnJMVUZMmRIhf3j4+PNL7/8Umnfr7/+2kRGRlbYPy0tzRhjzOzZs82tt95qCgoKKtzGiRMnzI033ljhNgICAkxhYWGVr+GTTz4xYWFhFW6jQ4cOrvXGjRtX4/dx2rRpxhhj9u3bV+Hy1157zbX9oqIi06pVq3Lr3HvvvcYYYwoLC02zZs3KLEtNTTXGGJOamlrh9u12u1m4cKHb175r1y7TsWNH1/9PmTLF1bd///5VvnfGGNO/f39Xn9mzZxtjjElLSzNdunQxu3fvdtvvlVde8fjzWbq20vuvqLVp08Zs3bq1ytfxz3/+09VnypQp1XrtpffjfO2VycrKMpdddpnbWkt/7q+//nqTm5tb4XZOnTrl9nMvyTRp0sSsWrXKbR3r1683PXr0cP1/RZ/tcePGVfl6Tp06Ze6++263dZT+PPTu3dscPHiw3DZKH7/afF4rqrtDhw41PkbuavPW7zZJZvLkyW5/Nx07dsxcffXVVf5s1+T3AI1G89/GpEsA4IHg4GDNnz9fZ511lo4ePaoZM2YoNTVVBw8eVFBQkDp06KBLL71Uw4cPr7B/XFycUlNT1aRJEx04cEAzZszQqlWrdPjwYUVGRmro0KG666671Lt3by1atEj9+vVTYWFhhdvq0aOHbr75Zh08eFDPPPOM1q1bp0aNGmnw4MFKSkpSo0aN9J///EdpaWnlZsp0jpx+/vnnWrZsmbZs2aKsrCw1bdpUMTExuuOOO3TZZZfpqquu0quvvuoaTfOmlStX6s9//rPatm2rLl26aOfOnWWWDxgwwPU4ICBA/fv31/vvv1/hOps2bdLRo0drtP+XXnpJI0aMkCTt2LFD//jHP7R582adddZZGjlypO644w69++67FfZdv3694uLiNGzYMP3f//2fJOmqq67Svn37yqxX0Qy6jRs31uLFi9WyZUs9/fTT+uyzz5Sbm6uLLrpIU6ZMUfv27ZWYmKglS5bo008/rdFrqqlXXnlF559/viTp7bff1gcffKB9+/apqKhIrVu31sUXX6zrrruuTJ/p06frvffe09/+9jddd9112rt3rwYNGlTpfgIDA/XTTz/pww8/1Lp165Senq7CwkJ16NBBAwcO1IQJE9SqVSt9+OGHiouLU1ZWltttXXDBBRo1apQyMzP1wgsvaMOGDbLZbBo0aJAefvhhhYaGatasWfriiy906NChcv2Tk5PVt29fSdI333yjl156Sbt27VLr1q01fvx43XjjjZo5c2aVryc7O1uLFy/WypUrtWvXLh0/flzt2rVTz549dc899ygiIkLTpk3Tjh07Kh3lb9Kkid5//301atRIf/vb37R8+XLl5eWpe/fuyszMdK1Xm89rdfz1r3/V888/73Z5aGio3n//fZ199tkqKCgoU5vknd9tN9xwg1544QVJUk5Ojp577jmtWLFCknTFFVfowQcf1Lx58yr9fAA4s/g8NdNoNFp9a5dffrnrr/3uRlAlx2hI06ZNyz3/3XffGWOM2bRpk2nZsmWFfQcNGuQaYZgwYUK55c6RJmMcozOtW7cut86AAQNcI6/r1q2rcD+xsbGVvtYnnnjCGOMY3TznnHPKLa/tCGtERISr/1133VVmWbt27Vz7XrRokTGm4lHHQ4cOGWOMef7558stq2xkpXv37q73eMOGDRWOIt9yyy1lRndqOmJ1eis9gpWdnW26detW4THJy8szxhjz0UcfefQZre4Ia0hIiMnPzzfGlB1Brai1aNHC7etJS0ursqaYmJhKl8fFxZmjR48aY4x56qmnKlyn9Od+/fr15UbUJZmbb77ZtU5SUlK55ddcc41r+ccff2zsdnu5dR577LEyx72iz3a7du1MaGio29fTrFkz18/6l19+WeXn4ejRo+aCCy5wuz1ffF5Pb/Pnz3f1vf3228str+3vtqCgILN3715jjDFHjhwxXbt2Ldf//PPPL3N2CyOsNNoZ33xeAI1Go9W7Nnr0aNeXpYoCaWVtyJAhrr7du3evdF3nl8NVq1aVW1b6i/sNN9zgdhuvvvqqa734+Pgav9aAgADXaYqTJ08ut7y2gVWS2b59uzHGmHfeeafM887gsWXLFvPHP/7R9bj0OhdccIFr/9dcc025bVf2RbX0e9OzZ0+39aWkpHgtAJQOKImJiW7XmzdvnjHGmMOHD3v0nlY3sLZt29a13rXXXlvj/dQksFanvfjii8YYYzZv3lzh8tKf+8p+fjIyMowxxrz//vtuj+eJEydM27ZtK+xvs9nM5s2ba/3ZHjp0qGsb4eHhlX4eHn300Uq35YvPa+n2+OOPu/pNnTq13HJv/G4bOXKkaxsV/b5xtgceeMC1HoGVRjuzG5MuAYAHSp8Gd+utt9ao77BhwyQ5TufbsmVLpet++eWXkqSEhAS3k5RkZ2dr0aJFbrfx5ptvuh4PHDiw0v3ZbDa1bdtW5557rs4//3ydf/75Ou+885SRkSHJMblRXXCe7nf6BC7OU31XrFjhWqdbt25q1apVuXWKioq0atWqGu3X+X5s3rxZ3377rdv1Sr+H3lJcXOx2oilJ2rhxoyQpPDy8WhPpeOrw4cPKz8+XJN1yyy2y2+11tq/TNW/eXDExMerWrZvr85aTkyPJcZwDA91fubR58+ZKf342bdokSYqJiSnzvN1ud33OPv3003KntDoZY2p8r9LGjRurQ4cOZV7PqVOnXMur+vlJTk6udLkvP68jRozQlClTJEmffPKJJk+eXG4db/xuc77G4uLiSt//2bNnq7i4uGYvAkC9xDWsAOCB1atX66efflJsbKxefvlljRkzRh9++KFWrlypDRs2lPmSerr4+HhJUteuXcvNoupOSEiIwsPDK7wWb9OmTSoqKnLb97vvvlN+fr5CQkIUFxdX4TpjxozRbbfdpt69e6tx48Zut1U6KHrTypUrdffdd5e7jrV0YM3IyHC956WvY3Wu8/333+vXX3+t9j5DQkJ0zjnnSFK5a3tPt27duhq+oqodOnRI2dnZbpeXXta0adMavbaaKCgo0LvvvquxY8dq5MiRSkhI0IIFC7RixQqtWbOmxtcEVyUuLk6TJk3SH/7wB7Vt29btena7XS1atHB7neKOHTsq3Y/z/Tt9lu7Y2FiFhYVJ8s5xb9mypSZPnqzhw4erc+fOlc5+W9nPz7Fjxyq81tnJl5/Xiy66SHPmzFFAQIB27NihUaNGVRgWvfG7rXv37pIc130fPnzYbb9Dhw5pz5495f4gAeDMwwgrAHigsLBQ1157rbZv3y5J6tWrl5555hmtXbtWOTk5Wrp0qUaPHl3hl9fIyEiP9ukuSB48eLDSfkVFRa4v7+Hh4WWWhYSEKCUlRf/5z390+eWXVxpWJceEK3XBOXoq/RZA27Ztq86dO6u4uFgrV64ss17piZj69esnSa51qqt58+au41PVe3jgwIEabbs68vLyKl1eOhDU9ahnYmKiFi9eLMlxe5oHH3xQS5cu1eHDh/X/27v/mKjrPw7gzyOvk0FZpEBtisy6WxTy6zIbgaTFBhE5kTBtQqisFGvMfhh2s3Y58/dataRJrLGYOpnKqEbLuDyjwBMVg1K4gdWZqGTjsOPHxef7h/t8vofcfe7gDjnp+dje8/Te78/n/f7c+z67l+8fn/r6eqxbt0728Uyeys/PR2NjI/Lz82WDVZFcf/P0+t147e6++27ptbefe3x8PH799VcUFxdDo9G4fVSLXHvEkWVXxqu/hoeH4/DhwwgKCsLVq1eRmZnp8j9PfHFvEz8fd20ExuZ7SUT+hwErEdEo/fLLL4iOjsbChQtRWlqKtrY2ANd/fKWlpaGiogL19fWYNm3akHLiD+hjx47h4Ycf9jjduPOsyJORDFfPUd2wYYP03FKDwYDs7GxpBCogIAAKhQIKhUKavjdWz2Pt7OwcNqoq/tnS0iKNvtwYsEZHR0ujVo5Brycc2+LpaNBEZbVa8eyzz2LOnDnYvn07Tpw4AbvdjkmTJkn/1trairlz5476HBqNBrt374ZSqURnZydee+01xMfHIyQkBEqlUupr+fn5Upmx6G8j+dzlzq9UKrF//35MnToV/f392LFjB5KTkxEeHg6VSiW1x3EEUO54crMkRlpvX1GpVDh06BCmT58Ou92O5557Dq2trS7z++LeJrbTm/saEU0snBJMROSFwcFBHD58WFpDGh4ejrS0NKxevRparRZarRYlJSVYtGiRVKarqwvh4eGYNm0ampubva5DWFiY7Pvi1EoAw6agrly5EgBgNBoxf/58lz8SHUelxorBYIBGo5HWFzpOBxaJjwUR17GKeQYHB0e8fvXq1avSa3fX0N37E8Xx48el6abBwcFISUnBiy++iEWLFiEsLAyVlZWYNWsWent7R3zsvLw8KJVK2O12pKSkuJzSO9Z9zfE74O5zlRsxnD9/PmbNmgUAWLNmDfbs2eM0n6/aMx799bPPPsOjjz4KACgqKsK3334rm98X9zbx8/GkDaMd0SWiWwtHWImIfOjixYsoKyvDY489Jm2ak5GRgcmTJ0t5xM1gNBoNZsyY4fU5Y2NjZaeMxsTEQKVSAQB+/vln6d9DQkKkaZn79+93GawGBQVBo9F4XU93xCm94jpWZwGrxWKB2WyWnscq5mlqahryg94TfX19OHfuHIDrG7/Icff+RByh7enpQXV1NbKysvDBBx8AAO677z7p2aUiT9suPuf19OnTsutPxXWQY8VsNuPatWsAvPvcxfYAwN69e13m81V7fNlfPVFcXIylS5cCAEpKSvDRRx+5LeOLe5u4WVNkZOSwJQyOpk6dipkzZ47qHER0a2HASkQ0Bux2uxSAKZVK3HXXXdJ74lpBAHjjjTe8Ptc999yDZ555xuX7jlMsHUdIHHdglVu7umLFCtx+++1e1tI9x8D0+eefh1qtHrJ+9cZ8TzzxBJKTkwGMfP2qSLwes2fPRmxsrMt8jtfQGccRR/E/ByaSI0eOSK9v3DhIbLu7dov9Ta6vhYWFSTvNjpV///1X6i+pqakIDw93mk+hUCA3N9flcTz5/igUChQUFHhR26F81V/dWbhwIfR6PYDr37fCwkKPyvni3ia2MSAgAMuXL3eZLy8vz+2aYSKaGPhNJyIahccff1yaDuiMUqmUprZardYhO51WVlZKmzW9/PLLbn9cPvTQQ8jIyJDNs3PnTqfT45KTk6UfzCaTCSaTSXrv8uXL0qjkkiVLoFQqh5XXarV47733ZM/tK3/++ae0Pu7VV18FMHT9qkgMWJctWzbq9auikpISaXOeTz/91GngsXTpUjz99NNu6y6S6xf+KDIyUgr8XUlNTZVe37iTrdj20NBQBAcHuzyG+Nmq1WppmqmjwMBAVFRUuN34yxc++eQTAMDkyZNRUlLiNPB56623MHv2bJfHcFzL6Sqw3bx5MxISErys7f/5qr/KiYmJQXl5OQICAmA2m5GVlQW73e5RWV/c2w4dOiStadXpdFCr1cPKPfjgg9iwYYNHdSKiWx/XsBIRjcKCBQug0+lgNBrx5ZdfoqmpCZcvX0ZgYCDUajVeeukl6Yfqnj17hmyoMjg4iJycHNTV1eGOO+5AaWkpsrOzUVFRgbNnz2JgYAChoaGIi4tDRkYGEhMTsX37dlRXVzuty6lTpxAVFYUTJ05g8+bNaGhogEqlQnp6OoqKiqBUKjEwMIA1a9YMKScIAr744gsUFhYiLi4ORqMRu3btQltbG6ZMmYL09HSsXr0aPT09uHDhwk2ZFmwwGPDAAw9II9LOAlFxHauYZ3BwUNoUaqSamprw8ccfY+3atXjkkUdgMpmwZcsWnDlzBlOmTEF2djYKCgpw/Phx2WmWJ0+ehM1mQ2BgIPR6Pex2Ozo6OqTgwmKxjGrd580wY8YMGAwGNDc34+DBgzCZTLBYLACA6dOnIycnBzk5OQCAxsZG1NfXDylfV1cH4Ppa6d27d+PDDz9EV1eXNFXYbDYDAMrLy/HKK6/gtttuw1dffYWtW7eirq4Ovb29SEhIQFFREdRqNY4dOzZs2rGvVVdXo6qqCpmZmcjMzMQPP/yAXbt2obW1FaGhocjLy8OSJUvQ0NCAOXPmOD1GTU0NOjs7ERYWhk2bNiEiIgJVVVW4cuUK7r//fqxatQpPPvmkT9vjq/4qp6qqCsHBwbDb7SguLsa9994ru6Nze3u7tGOzL+5tAwMDWLt2LSorKxESEoKffvoJW7ZsgcFggEKhQEpKCt58800AwLlz55wGtEQ08QhMTExMTCNLGzduFDxx4MABQaVSOT1GdHS0cPbsWY+Oo9PphpVvb28XBEEQysrKhBUrVgj9/f1Oy/b29go5OTlO63DnnXcKjY2NLs975coVISkpSaitrRUEQRBqa2uHHSMiIkLKn5ub69V1XbZs2ZDzZ2VlOc3X1tYm5Tl9+rTsMeXqDkCYNGmScODAAZfXwGw2CzNnzpT+vnHjRqfHef/9910eY968eVK+srIyQRAEob29Xbbeubm5UvmIiIgRX8t58+Y5Pb9cPjnNzc1O66FQKIS6ujqX5Rzz6nQ62XNs27bNbbsd+71c+91d5+DgYMFoNLqsi8lkEmJjY6W/O+vbqampwj///OPyGN99950QFRUlewxP+4Mv+6vcNR4pZ33L23sbAGHdunWC3W53Wqanp0dIS0tz+90eyX2AiYnJfxOnBBMRjcLWrVuRlpaGnTt34scff8T58+dhs9lgs9nQ3t6OvXv3Ij09HYsXL0ZfX5/TY5w5cwZRUVFYvnw5Dh48iN9++w02mw19fX24cOECamtrodfrER8fL60nc6W0tBRJSUnYt28fLBYL+vr68Mcff+Dzzz9HXFwc9u3b57Rcd3c3EhMT8fbbb6OpqQk2mw1WqxUtLS3Ytm0bYmJiRrz7rjccR1SdrV8ViaOswOjXr4rsdjsWL16MF154AUePHsXff/+Na9euoaWlBZs2bUJCQgI6OjrcHmf9+vVYuXIljh49iq6uLo+nUY43o9GIuXPnQqfT4ciRI2htbUV3dzf6+/tx8eJF1NTUoKCgALGxsTh//vyw8oIgIDU1FXq9HqdOnYLVah3yDFlHer0e6enpqKmpwV9//YW+vj78/vvvqKysxFNPPYXXX399rJsr6enpQUpKCgoLC9HQ0ACr1Yru7m6cPHkS69evR2JiotuNvL755htotVqUl5fDYrGgv78fly5dgsFgwKpVq7BgwQJpgydf8VV/HUu+uLft2LEDSUlJqKysRGdnJ3p7e9HR0YHS0lJotVp8/fXXN7lVRDSexj1qZmJiYmIaefJ0pInpv5k8HWFlYvovJI6wMjHduolrWImIiCa4yMhIafOqS5cuDdkEjGiicnz0UFBQ0DjWhIi8wYCViIhogisrK5Nev/POO3j33XfHsTZEN4fjc6eJ6NbFNaxERERERETklzjCSkRENAF9//33UCgU410NonHD/k80MXCElYiIiIiIiPySAtd3XyIiIiIiIiLyKxxhJSIiIiIiIr/EgJWIiIiIiIj8EgNWIiIiIiIi8ksMWImIiIiIiMgvMWAlIiIiIiIiv8SAlYiIiIiIiPwSA1YiIiIiIiLySwxYiYiIiIiIyC8xYCUiIiIiIiK/xICViIiIiIiI/BIDViIiIiIiIvJLDFiJiIiIiIjILzFgJSIiIiIiIr/EgJWIiIiIiIj8EgNWIiIiIiIi8ksMWImIiIiIiMgvMWAlIiIiIiIiv8SAlYiIiIiIiPwSA1YiIiIiIiLyS/8DCbQwQSEtRdYAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 480x360 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 351,
"width": 470
}
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 480x360 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 350,
"width": 470
}
},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"df3 = df.query(\"target != 0\").copy() # label 0を除外\n",
"y = df3.iloc[:, 4].values\n",
"y = np.where(y == 1, -1, 1) # label 1を-1に、その他(label 2)を1にする\n",
"\n",
"# plt.scatter(df3.iloc[:50, 1], df3.iloc[:50, 0], color='orange', marker='o', label='versicolor')\n",
"# plt.scatter(df3.iloc[50:, 1], df3.iloc[50:, 0], color='green', marker='o', label='virginica')\n",
"# plt.xlabel('sepal width [cm]')\n",
"# plt.ylabel('sepal length [cm]')\n",
"# plt.legend(loc='upper left')\n",
"# plt.show()\n",
"\n",
"X2 = df3[['sepal width (cm)', 'sepal length (cm)']].values\n",
"from sklearn import preprocessing\n",
"sc = preprocessing.StandardScaler()\n",
"X2_std = sc.fit_transform(X2)\n",
"\n",
"ada2 = AdalineGD(n_iter=15, eta=0.01)\n",
"ada2.fit(X2_std, y)\n",
"\n",
"plot_decision_regions(X2_std, y, classifier=ada2)\n",
"plt.title('Adaline - Gradient Descent')\n",
"plt.xlabel('sepal width [standardized]')\n",
"plt.ylabel('sepal length [standardized]')\n",
"plt.legend(loc='upper left')\n",
"plt.tight_layout()\n",
"plt.show()\n",
"\n",
"plt.plot(range(1, len(ada2.cost_) + 1), ada2.cost_, marker='o')\n",
"plt.xlabel('Epochs')\n",
"plt.ylabel('Sum-squared-error')\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"線形で完全に分離できることは当然ないが、妥当な位置に境界を引けているので、コストの極小値に収束したのだろう。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2.6 大規模な機械学習と確率的勾配降下法\n",
"\n",
"データ数が多いとここまでの方法(バッチ勾配降下法)は計算コストが高くなる。\n",
"\n",
"→確率的勾配降下法を使う\n",
"\n",
"$$ \\Delta \\mathbf{w} = \\eta \\sum_i (y^{(i)} - \\phi (z^{(i)})) \\mathbf{x}^{(i)} $$\n",
"\n",
"でなく、サンプルごとに段階的に重みを更新する\n",
"\n",
"$$ \\eta (y^{(i)} - \\phi (z^{(i)})) \\mathbf{x}^{(i)} $$\n",
"\n",
"サンプルはランダムな順序に並び替えることが重要。\n",
"この方法のメリットは、高速に収束すること、浅い極小値を簡単に抜け出せること(誤差曲面のノイズが多い)、オンライン学習に利用できること。\n",
"\n",
"オンライン学習…新しいトレーニングデータが届いたときに、その場でトレーニングしモデルを更新する。素早く変化に適応できる。\n",
"\n",
"\n",
"以下で確率的勾配降下法を用いてADALINEを実装"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from numpy.random import seed\n",
"\n",
"class AdalineSGD(object):\n",
" \"\"\"ADAptive LInear NEuron 分類器\n",
" \n",
"    パラメータ\n",
" -----------\n",
" eta : float\n",
"        学習率(0.0より大きく1.0以下の値)\n",
"   n_iter : int\n",
"        トレーニングデータのトレーニング回数\n",
"   shuffle : bool (デフォルトTrue)\n",
"       Trueの場合は循環を回避するためにエポックごとにトレーニングデータをシャッフル\n",
"   random_state : int\n",
"        重み初期化用乱数シード\n",
"    属性\n",
"   -----------\n",
"   w_ : 1次元配列\n",
"        適合後の重み\n",
"   cost_ : リスト\n",
"       各エポックで全てのトレーニングサンプルの平均を求める誤差平方和コスト関数\n",
"   \"\"\"\n",
" def __init__(self, eta=0.01, n_iter=10, shuffle=True, random_state=None):\n",
" self.eta = eta\n",
" self.n_iter = n_iter\n",
" self.w_initialized = False # 重みの初期化フラグ\n",
" self.shuffle = shuffle\n",
" self.random_state = random_state\n",
" \n",
" def fit(self, X, y):\n",
" \"\"\"トレーニングデータに適合される\n",
" \n",
"        パラメータ\n",
" ------------\n",
"       X : {配列のようなデータ構造}, shape = [n_samples, n_features]\n",
"            トレーニングデータ\n",
"           n_samplesはサンプルの個数, n_featuresは特徴量の個数\n",
"       y : 配列のようなデータ構造, shape = [n_samples]\n",
"            目的変数\n",
" \n",
"        戻り値\n",
" ------------\n",
" self : object\n",
"       \"\"\"\n",
" # 重みベクトルの生成\n",
" self._initialize_weights(X.shape[1])\n",
" self.cost_ = []\n",
" # トレーニング回数分反復\n",
" for i in range(self.n_iter):\n",
" # 指定された場合はトレーニングデータをシャッフル\n",
" if self.shuffle:\n",
" X, y = self._shuffle(X, y)\n",
" # 各サンプルのコストを格納するリストの生成\n",
" cost = []\n",
" # 各サンプルに対する計算\n",
" for xi, target in zip(X, y):\n",
" # 特徴量xiと目的変数yを用いた重みの更新とコストの計算\n",
" cost.append(self._update_weights(xi, target))\n",
" # サンプルの平均コストの計算\n",
" avg_cost = sum(cost)/len(y)\n",
" # 平均コストの格納\n",
" self.cost_.append(avg_cost)\n",
" return self\n",
"\n",
" def partial_fit(self, X, y):\n",
" \"\"\"重みを再初期化することなくトレーニングデータに適合させる\"\"\"\n",
" # 初期化されていない場合は初期化を実行\n",
" if not self.w_initialized:\n",
" self._initialize_weights(X.shape[1])\n",
" # 目的変数yの要素数が2以上の場合は\n",
" # 各サンプルの特徴量xiとtargetで重みを更新\n",
" if y.ravel().shape[0] > 1:\n",
" for xi, target in zip(X, y):\n",
" self._update_weights(xi, target)\n",
" # 目的変数yの要素数が1の場合は\n",
" # サンプル全体の特徴量Xと目的変数yで重みを更新\n",
" else:\n",
" self._update_weights(X, y)\n",
" return self\n",
"\n",
" def _shuffle(self, X, y):\n",
" \"\"\"トレーニングデータをシャッフル\"\"\"\n",
" r = self.rgen.permutation(len(y))\n",
" return X[r], y[r] # インデックスに配列を渡すことでシャッフルを実現できる\n",
"\n",
" def _initialize_weights(self, m):\n",
" \"\"\"重みを小さな乱数に初期化\"\"\"\n",
" self.rgen = np.random.RandomState(self.random_state)\n",
" self.w_ = self.rgen.normal(loc=0.0, scale=0.01, size=1 + m)\n",
" self.w_initialized = True\n",
" \n",
" def _update_weights(self, xi, target):\n",
" \"\"\"ADALINEの学習規則を用いて重みを更新\"\"\"\n",
" # 活性化関数の出力の計算\n",
" output = self.activation(self.net_input(xi))\n",
" # 誤差の計算\n",
" error = target - output\n",
" # 重みの更新\n",
" self.w_[1:] += self.eta * xi.dot(error)\n",
" self.w_[0] += self.eta * error\n",
" # コストの計算\n",
" cost = 0.5 * error**2\n",
" return cost\n",
"\n",
" def net_input(self, X):\n",
" \"\"\"総入力を計算\"\"\"\n",
" return np.dot(X, self.w_[1:]) + self.w_[0]\n",
"\n",
" def activation(self, X):\n",
" \"\"\"線形活性化関数の出力を計算\"\"\"\n",
" return X\n",
" \n",
" def predict(self, X):\n",
" \"\"\"1ステップ後のクラスラベルを返す\"\"\"\n",
" return np.where(self.activation(self.net_input(X)) >= 0.0, 1, -1)\n"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 480x360 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 351,
"width": 470
}
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 480x360 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 340,
"width": 461
}
},
"output_type": "display_data"
}
],
"source": [
"ada = AdalineSGD(n_iter=15, eta=0.01, random_state=1)\n",
"ada.fit(X_std, y)\n",
"plot_decision_regions(X_std, y, classifier=ada)\n",
"plt.title('Adaline - Stochastic Gradient Descent')\n",
"plt.xlabel('petal width [standardized]')\n",
"plt.ylabel('sepal width [standardized]')\n",
"plt.legend(loc='upper left')\n",
"plt.tight_layout()\n",
"plt.show()\n",
"\n",
"plt.plot(range(1, len(ada.cost_) + 1), ada.cost_, marker='o')\n",
"plt.xlabel('Epochs')\n",
"plt.ylabel('Average Cost')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"すぐに平均コストが減少している。境界はバッチ勾配降下法と同じ。\n",
"\n",
"オンライン学習の場合はpartial_fitを呼び出すと更新ができる。\n",
"\n",
"パーセプトロンとADALINEを学んで、かなり理解が深まったので、今後他の機械学習アルゴリズムはこの応用で理解がしやすくなると思う。\n",
"\n",
"今までは他のアルゴリズムもブラックボックスのまま使っていたので、中身を知ることができたのは良かった。\n",
"\n",
"サイゼミに向けて多層パーセプトロンとニューラルネットの話を見たいのでこの本は一旦12章まで飛んで、読んでいく。\n",
"多分実装は間に合わないので、読むまでにとどめる。"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.6+"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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