{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "collapsed": true, "id": "skvh1N109FkE", "jupyter": { "outputs_hidden": true }, "outputId": "30f9ec93-2a55-4099-977b-e06b00deb642" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Descriptive statistics:\n", " alcohol malic_acid ash alcalinity_of_ash magnesium \\\n", "count 178.000000 178.000000 178.000000 178.000000 178.000000 \n", "mean 13.000618 2.336348 2.366517 19.494944 99.741573 \n", "std 0.811827 1.117146 0.274344 3.339564 14.282484 \n", "min 11.030000 0.740000 1.360000 10.600000 70.000000 \n", "25% 12.362500 1.602500 2.210000 17.200000 88.000000 \n", "50% 13.050000 1.865000 2.360000 19.500000 98.000000 \n", "75% 13.677500 3.082500 2.557500 21.500000 107.000000 \n", "max 14.830000 5.800000 3.230000 30.000000 162.000000 \n", "\n", " total_phenols flavanoids nonflavanoid_phenols proanthocyanins \\\n", "count 178.000000 178.000000 178.000000 178.000000 \n", "mean 2.295112 2.029270 0.361854 1.590899 \n", "std 0.625851 0.998859 0.124453 0.572359 \n", "min 0.980000 0.340000 0.130000 0.410000 \n", "25% 1.742500 1.205000 0.270000 1.250000 \n", "50% 2.355000 2.135000 0.340000 1.555000 \n", "75% 2.800000 2.875000 0.437500 1.950000 \n", "max 3.880000 5.080000 0.660000 3.580000 \n", "\n", " color_intensity hue od280/od315_of_diluted_wines proline \\\n", "count 178.000000 178.000000 178.000000 178.000000 \n", "mean 5.058090 0.957449 2.611685 746.893258 \n", "std 2.318286 0.228572 0.709990 314.907474 \n", "min 1.280000 0.480000 1.270000 278.000000 \n", "25% 3.220000 0.782500 1.937500 500.500000 \n", "50% 4.690000 0.965000 2.780000 673.500000 \n", "75% 6.200000 1.120000 3.170000 985.000000 \n", "max 13.000000 1.710000 4.000000 1680.000000 \n", "\n", " target \n", "count 178.000000 \n", "mean 0.938202 \n", "std 0.775035 \n", "min 0.000000 \n", "25% 0.000000 \n", "50% 1.000000 \n", "75% 2.000000 \n", "max 2.000000 \n" ] } ], "source": [ "# Import necessary libraries\n", "import pandas as pd\n", "import numpy as np\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "from sklearn.datasets import load_wine\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.linear_model import LogisticRegression\n", "from sklearn.metrics import classification_report, confusion_matrix\n", "\n", "# Load the Wine dataset\n", "wine = load_wine()\n", "df = pd.DataFrame(data=wine.data, columns=wine.feature_names)\n", "df['target'] = wine.target\n", "\n", "# Print descriptive statistics\n", "print(\"Descriptive statistics:\")\n", "print(df.describe())\n", "\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 930 }, "id": "7Ddslw699UPs", "outputId": "3f92056b-0579-4d5a-8857-d613b5eb24ec" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot histograms for numeric variables\n", "df.hist(bins=10, figsize=(10, 10))\n", "plt.suptitle('Histograms of Numeric Variables')\n", "plt.show()\n", "\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 653 }, "id": "WIU1bmc79s_M", "outputId": "c2fb35a9-df87-4a8e-ffa4-05cb022d0486" }, "outputs": [ { "data": { "image/png": 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x8fHk5uZqlLl79+/7excOuEAgEAgEAoHgH2H06NEMGTJErUwmk/1DrSk6hAMuEAgEAoFAIPgkJDqSL6JHJpP9rQ63nZ0dkZHqb1gjIyMxMTFBX18fLS0ttLS0NMrY2dn9be0SMeACgUAgEAgEgk9Cqi35Ip+/m4oVK3LkyBG1skOHDlGxYkUAdHV1KVOmjJqMXC7nyJEjKpm/A+GACwQCgUAgEAj+E6SkpBAWFkZYWBigTDMYFhZGREQEoAxp6dSpk0q+T58+PHr0iBEjRnD37l3mz5/P5s2b+f7771UyQ4YMYcmSJaxatYo7d+7Qt29fUlNT6dq169/WDxGCIhAIBAKBQCD4JCQ6/8wc7qVLl6hRo4bq+9v48c6dO7Ny5UpevXqlcsYB3N3dCQkJ4fvvv2fWrFk4OTmxdOlS6tbNW6natm1boqOjGT9+PK9fv6ZkyZIcOHAg38LML4lwwAUCgUAgEAgEn0RRhI9oonr16nxoCxtNu1xWr16dq1evflDvgAEDGDBgwOc2r9CIEBTB/2uePHmCRCJRvar6t+hzc3Nj5syZX6RNAoFAIBAUNRIdyRf5/K8iZsAFgv+HWHxVFo+h3TEtHYSegw2XWvYjcveRj9Y7bQLHTCFZCzy/H0q/Pr3x8/UpUP7kqdOsWruWyMgoHB0c6N61C+WCy6qOx8fHs2zFSi5fDSM1NYWgwCD69+mNo6NDPl0KhYIhP8/iXNhNzEyMSUtPx8vVmSHd2hPo7aHR/q7DJ9l/4iyPnr0AwNfDlT7tm6vJHz9/mR0HT3D30VOSUlJZNW08Pu4uanbP7J3N9TNbyExPwsGjNHXaT8Tcxq3Afl89uZ6wkxtIilPatbT3plKDfngEVlPJXDu9iTsX9xL57BZZGakMnH4RTGDzodOsCTlKbGIy3i4ODO/UgiBPV412dhw7S8ipizx8/hoAf3cn+rVpqCZftuP3GusOateYzvWVObI3Hz7D6v0nlDad7RnRsRlBni4a620/fp6QM5fzbLo50r9VfTX52MRkZm8O4dzNcJLT0int686Ijs1wdFG2a8vBE6zdc5jYxCS8XRwZ1qUNgV6ax3PnkTOEnDrPo+cvAfBzd6Ff2yYFyk9duoEdR07z/bctad/ga1W5QqFg/5Z5nD2yjfTUZNx9S9K6xzhs7DWPLcCD25c4umclzx7fJik+mu7DZlI8uGY+udfPH7Fn/R88uH0J5Nm4OjtRqXxZ9h06Slx8Ap7urgzq1Q1/H2+Ndh5HPGPFuk3cf/iIyKho+nfvQqumDQts1/qtO1iyej0tGzdgjJceAJvDHrL6cjixqRl4W5syokYJguwsNNbffespkw5eVivT1ZJydlAz1fcJoZfYeztCTcbR1ICM7FyS5oXg7VecTn1GYeeg+Tp5y+F9m9m/Yy2JCbG4uHnTsedwPHwCAYiOfMnw3k011qtSswm3r18kMT4GfX09pFIp6enp2NraUr9Bg3w7G546dYo1q1cTGRmJg6Mj3bp2JbhcOdXxBvXra7TTrXt3WrVqRWRkJBvWr+fatWvEx0Rjpa/L6L49qNmyPVJjU3Iin5O2fwM5L58U2FeJTB+Dr5uh61caib4B8sQ4UkM3kf3gZj5Zvcr1MKzZgvRzh0k7uFlVrlAoOLtvNjfOvrnfuJemZpsP32+unVrP9TMbSIrNu9+Ur9cP94C8+83hjeOJuPcnKUlR6OoacG1nKYYNG4anp2eBegX/LGIGXCD4f4iWoQFJ1+9xc9Ckjwu/4aoh7LKEuvEw5AV4uLszdtx4EhISNMrfun2HqdN+o16dOsyfPYtKFSsw6cefePLkKaD8oZn040+8eh3JxHFjmTd7FrY21owa+wMZGRn59G0MOURsQiIAtSoFs/LX8Xi7OvP9TzOJS0zS2IYrt+5R+6tyzJ0wjMU/jcbW0pzBP/5BVGy8SiY9I4vift7079hSo44Lh5Zw5fgaarefyDfDN6Mr02fLnO7kZBe8E5uxmR3Vmg2j06jtfDtyG64+FdixsD8xL8NVMtlZ6bgHVKFC3T6qsoPnrvLHup30bF6XtT8OxcfFgYG/LiIuMVmjnct3HlC3YmkWju3PionfYWthzoBfFxIVl6CSOTB3ktpnfM92SCQSvi5XXGnzfBgzNuyhV9ParJs0GB9nBwZMX0pcUopmm3cfUrdCSRaN6s2KcQOwtTCj//QlRMUpz41CoWDorJW8iIpjxnddWD95MPaW5vSdtpj0jEwOnb3MzDXb6dGyAat/HoW3qxODfpn7gT7ep26lsiz44TuWTRqGraU5A6fOVevjW45dDOPmg8dYm5vmO3Zk93JO7l9Pmx7j+P6ndejq6bPw595kZxV8HrMy03F09aFVt7EFysS8fsasCZ2wcXBn4ITlLJ09nZLFAlizaRud27Vm8R+/4unmyogJPxH/5vp9n8zMTBzsbOjV6RsszM0KtAVwN/wBew4cwsMt78Hh4L3nzDh5g14V/Fj3zdf4WJkyYPsZ4tLy/x29xVBXm9BeDVSfvd3r5ZOp5GarOt6tnC8J6VmMqVWK8dNWINPT5/dJA8n6wPidP32Qjctn0qxdDybNWIOzmzfTJw0kKSEOAEsrW2au2K/2ad6+Fzo6upw9sZ9m7XrQuE13LCwsyMrK4tdp02jbrh2rVq5kz+7dKju3b9/m119+oU7dusyZO5eKFSsyZcoUnjx5opJZu26d2mfw998jkUioXLkyAM+ePUOuUDBw4EDWNSzLtN6dqN6pN3vWLCdx8Y/kvn6G8TffITEw1txZqRYmHb9HamZF8taFJMwbT8reNciTE/KJajm4ole6Kjmvn+U7dunwEsJOrqFWm4m0H7IZHV19ti/48P3GyMyOrxoPo8Pw7XQYvg1nnwrsXtKfmFd59xsb50DqfDOVzmP20bzfMhQKBd27dyc3N7dAvZ/LfyULyr8V4YAL/vMcOHCAr776CjMzMywtLWnUqBEPHz4sUP7WrVs0atQIExMTjI2NqVKlikpeLpczefJknJyckMlkqoUY7/Po0SNq1KiBgYEBJUqUyLdd7bZt2wgMDEQmk+Hm5sbvv//+ZTv9EaJDT3J/wkwidx0udJ0TplAhCcqlgF02DBrQD5mejNCDhzTK79y9m7JlStO6ZQtcXJzp/G1HvDw92bV3LwAvXr7kzt17DOzfF18fH5ydnBjYvx+ZWVkcO3FCTdfDh4/YsOcQEpQ347LF/HF3dmBEr47IdHXZe/S0xjZM+q4nLevWwMfdBTdHe0b36YJcoeDSzTsqmfrVKtK9dWOCiwXkq69QKLh8dDUV6vXFu0QtbJz8aNB5GimJUYRfK3jsvIp/jUdQNcxt3LCwdadK0+/RlRnw8nGYSqbs110oX7cX9u4lVGXr9h+nWY2KNKlWHg9HO0Z3bY2eTJfdJ85rtPNjv29pXfsrfF0dcXOw5YeebVHIFVy4lffDa2VmovY5ceUmZf29cLKxAmDtgZM0r1aeJlWD8XC0ZUyXFujp6rDr5AWNNn/q04E2NSvh6+qIu4MN47q3Vtq8rbQZERnDjYcRjO7cgkAPZ9zsbRjduQWZWdmE/nmJ9SFHaPZ1JRpXr4iHkz2jurdDT1eXPcc1b+k8ZUBXWtWpio+bM26Odozt9Q0KhYKLN++pyUXFJfD7yi1M7t8FbS0ttWMKhYIT+9ZSp0UvigV/jaOrLx37/0xifDQ3Lh4t4CxCQKkqNGw3iBLl8s96v2XvxtkElKpC045DcHL3x9Hejmu37tCoTk3q16qBm4szQ/r1Qk+my/7Dmm35eXvRp2snvq5aGR0dnQJtpaen89Pvsxk2oA/GRoaq8rVXwmke5EaTQDc8LE0YU6sUetpa7Lr5tEBdEokEK0M91cfSUC+fjI6WVHnMQMaum0/oUd6P6p4OOLt50/O7ScTHxXDl/AkN2pWE7lpPtTrNqFKzCY7OHnTuOxpdmR4njyidZ6mWFmbmVmqfy+eOo6dvoKrXtE135s2fj4GBAdeuXePrr7+mVu3anPnzT5WdXbt2UaZsWVq1aoWLiwudOnXC09OTPXvyduu1sLBQ+5w7d47ixYtjb28PQNmyZRkyZAily5TB0Vifkg1bcOfYAWatWkduzCtSQ9ZBdhayUpU19lVWqjISfUOSN80n59lD5Imx5Dy9T27k8/cGVYZx8x6k7l2DIiNN7ZBCoeDKidWUq9MXz+K1sHb0o96300hNjOLh9YLvN57FvsY9UHm/Mbdxp3Kj79GRGfD6SZhKpnjltjh5BWNq6YStcyCDBw/m1atXvHjxokC9n4sIQfk8hAMu+M+TmprKkCFDuHTpEkeOHEEqldK8eXPkcnk+2RcvXlC1alVkMhlHjx7l8uXLdOvWjZwc5Zbds2bN4vfff2f69Olcv36dunXr0qRJE8LDw9X0jB07lmHDhhEWFoaPjw/t27dX6bh8+TJt2rShXbt23Lhxg4kTJzJu3DiNC0P+LeQAz2Xgk55XJpVKKVWyJLfv3tNY587du5QqWVKtrEzpUtx5s3VvdnY2oMyx+q5OHR0dbt26rSrLyMjgl9+mM7hrWx5GqP+YSaVSgov7c/P+o0L1IyMri5ycXEzecV4+RGLsc1KTonH1q6Qqk+kbY+9WgpePPrxg5y1yeS53LoWQnZWGg0epAuVyc7K5+/g55QPzQnqkUinlAr25/qBgR+pdMjKzyMmVY2qkecv32MRkTofdpmn18gBk5+Rw98kLygXmhUa8tXnjk2zmYvLGZla28jrX1cmLYJRKpejqaHP1Tjh3Hz8jOMhP7VhwkB83wgt5DjPfnsO8PsrlcibMW0XHRrXwdM4fvhQb9ZykhBh8ilVQlekbGOPqVYzH4dcKZVcTcrmc21dPYmPvyoKfejO2ZzX6DB3F/fCHlClZXK2PpUsU59bd+3/ZFsDMhcuoULa0mu7sXDl3IxMo52KTZ08ioZyLDTdexRWoKz0rh4ZL99NgyX6G7DrLw5j8b5EuP4+h1sIQmiwPJTYtkwBbM9UxA0MjPH0CeXjvukb9OdnZPHl4l4DieWEgUqmUwBLleHjvhsY6Tx7cIeLxfVJSkvLVK1myJHfvKB+c01JTMTYyUh2/e+dO/ntNmTIq+feJj4/n4oUL1KlbwH7sUi207V0Iv3oZE92317GCrMd30HHSHO6m61OCnOcPMazfHvMh0zHtMwH9r+qDRN2BNGzQnqzwG2Q/zt+2xNjnpCVF4+Krfr+xcy3ByyeFv9/cuxxCTmYa9m6a7zfZmWls374dJyenv3UjGcHnIWLABf95WrZUDy1Yvnw51tbW3L59G6N3buIA8+bNw9TUlI0bN6pmonx88hyi6dOnM3LkSNq1awfAr7/+yrFjx5g5cybz5s1TyQ0bNoyGDZUxnJMmTSIwMJAHDx7g5+fHjBkzqFmzJuPGjVPpv337Nr/99htdunT5aH8yMzPJzFR/HZmtkKMj+fuel1O1QC4B4/feVpqbmfHs2XONdeLjEzA3M8snHx+fAICzkxM21tYsX7mK7wYMQE9Pxvadu4iJiSEuPi9EZNGSpQT4+1HMx4tcDQ9NFqYmPH3xulD9mL92K9YWZhpnuzWRmhgNgKGJpVq5oYklqUkxH6wb/eIe66a3Iyc7E12ZAc16zcPK3qtA+fTUBHLlcixM1V9xW5ga8+RVVKHaO2fjXqzMTSgXqDkuf++pCxjq6VGjrNKBS0hOJVcux9JU/e/A0tSo0DZnb96HlZkJ5QOUTrybvQ12lmbM3bKfsV1boi/TZV3oKSLjEnkdG19gH5++LNw5nLt+J1bmppR7x4lfvfsQ2lpS2tarrrFOckIsAMam6ufR2NSS5IQPn8cPkZIUR2ZGGod3LadB2wE0/uZ7Xlxcx73wh8TEqTu/5mamRHzGbOPRk2cIf/SIhb//olaekJ5JrkKBpYH6ToGWBjKexGsO63EzN2J8ndJ4W5mSkpXNmkvhdN10nC2damFrrHywqeRmy9deDjiYGnL60WvmnrnF78dvsPabvLh6E1NLEuNjNdpITk5ALs/F1Ew9Dt3E1IJXz59orHPy8C5s7Z2JfPUsXz0zc3OePX/O7du3OXnyJJMm5YXPxcfHY2Zunk8+/p37yLscPnwYfX19VfjJ+0gMjJBItdh74z5NvfMe6BSpyUis7DXW0TK3RuruR+aN8yRtmI2WuQ2GDTqAVIv0k8q3frqBwWjbuZK49CeNOtKSlPcbA2P169TA2JK0j9xvYl7eY+OMduTkKO83jXvMw/K9+821U+s4tWs62VlpuLu7s2LFCrUJkC/N/3L4yJdAzIAL/vOEh4fTvn17PDw8MDExwc3NDUAtD+hbwsLCqFKlisbXwElJSbx8+TLfTbty5crceW+mpXjxvBmqt684o6KUDs2dO3c06ggPDy9UPN7UqVMxNTVV+2yWFzzT9W9FW1ub8WPH8OLFS1q1a0+TFq24dv0GwWXLIHkza3T23HnCrl+nT6+en21v9Y59HDpzgV+G90OmW/Br/l4/TOXrjv2Z+X0p5Lk5f9meha07nUfvpOOIzZSs0p59q0cS8+rBX9b3MVbuPszBc1eZPrhbgf3bfeIC9SqV/mD/P4UVe49y8HwYvw/qrNKpo63F9IGdiYiMpka/CVTuOZZLdx5QubgfUsnn/SCv2nWQQ2cvM21IL5W9O48i2HjgGOP7fKu6btIzMpm7YSfVunzP8E7lyM3N/ryOFoDizQNhUNnq1GjYCSc3P5o3VC72O31WcwjPXyEqOoa5S1Ywdsh3X8RhKu5gSaMAV3xtzCjjZM1vjStgri9j243HAOy7E8GUQ1cYu/8iXTcep7iD0hm+H5PI5efRn21fE1mZGZw9GUr5KnU+IJPJ5EmT6PDNN5QuU+Yv2zp08CA1atQocCzj0rMAKGNrTlMvzQ53PiQS5KnJpO5dQ+6rCLJuXyL99D70yigXQkpNzDGs25aUHUvhzX1l79HjVOz1PTU3nWLusM+735jbuNNx5E7aD9lM8crtCV07ktj37jd+ZZvwzYgdtB60Fjc3NwYPHpxvMudLItGSfJHP/ypiBlzwn6dx48a4urqyZMkSHBwckMvlBAUFkZWVlU9WX1//i9h814F/6xRoCnn5K4wePVq1scBbjlr89R+jwmCYC1KFMvvJu8QnJGD+3szTW8zNzYh/b4GmUt5M9d3b24sFc2eTmppKdk4OZqamDPp+KD7eypmbsOvXefXqNS3atIN38rqOmT6fEv7ezJ80grjEJCzN8i+6e5d1u0NZs3M/s8cPxcvV+YOyUwb3xs3JnoNxweTmKK+R1KRYjEzzXvGnJsVi4+RXkAoAtLR1MbdRLpSzcwni1dMbXD62mrodJmuU1zc0Q0sqzbcYMS4xGUtTkw/aWhNyjJV7jzB/VF+8XfKHYABcvfuQp6+imDogbwc4M2NDtKRSYhPVF1zGJqZgZVrAYrM3rN53nJUhx1gwolc+m/7uTmyYMoTktHRycnIxNzGi06TZ+Lq7Enb3oeY+mn24j2v3HmbV7oPMHTMQb1dHVXnY3QfEJ6XQZOA4VVmuXI4EMDM2ovfE9eRkK89jcmIspubWKrnkxFgc3T58Hj+EoYk5Ui1t7BzzMkmYmhgjkUiIilGfGY5PSMTivTdCheX+w0fEJybS6/sRqjK5XM71W3fYoVCgJZEQm6buSMWmZWJlkD+uWxM6WlJ8bcx4npAKQDVPe4rZ581AZ+Uo711GMm2eJaTw9v1KUmIsLu6a37YYG5shlWqRmKA+OZCUGIepuWU++Yt/HiUrK4PqdVuwd+vKfPVePH/O8+fPadmyJe3bt1c7Zm5uTsJ7s90J8fEa7003b97k+fPnjBo9WmO7Y2NjGb/nDCGjcuhULpCc+3khShJDYxQpmhfSylMSUeTmqt2ncmNeIzU2BakWWvauSI1MMO31g+p47bR0Sn1dBxQKNp7RIufN/SYtWf1+k5Yci3Uh7jdm1sr7ja1LEK8jbnD1xGpqtcu738j0jZHpG2Nu48b4niUoV64chw4dolGjRh/ULfhnEA644D9NbGws9+7dY8mSJVSpUgWA06c1L9gD5cz1qlWryM7OzjcLbmJigoODA2fOnKFatbz0TmfOnKHcO+muPoa/vz9nzpxRKztz5gw+Pj5ovbd4TBMymQyZTP11898ZfgLKG4FTJoTrQ7E364bkcjlhYddo0khzujR/Pz/Crl2jRbO8NGNXrobh75f/h8TQUBmT/eLFS8IfPKDzt98A0LZVK+rXUc6IGWbEMmHWYh5GvOC7Lm35qkwJ5HI5l27cpVW9Gvl0vmXtrv2s3LaPmT8Mxt/T7aN9tbWywNneFnNtVxQKBYYm1kTcO4utsz8AmekpvHpyjZJV239E03so5CqHXhNa2jr4uTtx4dZ9qpctBijH+OKtcNrU/qrAeqv2HmH5rsPMHdmbAI+CU8LtOnEef3cnfN5xXnW0tfFzc+Ti7QfUKBOUZ/P2A9rUqlSQKlaFHGPZnqPMG9aDAPeCH2iMDZQPtBGvo7nz+Dm92zbl3pNnXLx5j+rBJVT2Lt26R+s61QrUs3r3IVbsPMDs0QMIeC8lY/0q5ShXTP2aGjR1LvWrlKNxtYq8tHNBoVBgYmbF/RvncXrjcGekpfD0wQ2+qt22QLsfQ1tbBxfPQKJePVGV6ejoYGhgoLYRiFwu58r1GzRvmD/TSGEoXbwYy+eoL9T+ddZ8XJwc6OGsy+RDV7j4LIoaXsoHIblCwcVnUbQpUbgUc7lyBQ9iEvnKXRkPbKirg+E7b0kUCgXm+jLi0zOxerNYMz0thYf3b1GjXiuNOrV1dHDz9OP29YuUqVBd2S65nNvXL1KzQet88icP76JUcFUsLG3y1Xv8+DHnz58nMDCQzhrC9Pz8/QkLC6NZ8+aqsqtXr+Ln759P9mBoKF7e3nh45I/ljomJYdSoUQSY6CF/FYGuh/87DrgEHXd/Mi4e09jf7GcPkAWVAySA8txrWdgos6DIc8l+fIeEBRPV6hg16YJ9UiTpZw5g5jERhUKBgYk1z+6fxcYp737z+uk1Snz1Ze83oDyvmiaivhTS/+HZ6y+BcMAF/2nMzc2xtLRk8eLF2NvbExERwahRowqUHzBgAHPmzKFdu3aMHj0aU1NTzp07R7ly5fD19WX48OFMmDABT09PSpYsyYoVKwgLC2PdunWFbtPQoUMJDg5mypQptG3blrNnzzJ37lzmz5//JbpcKLQMDTD0ynPWDNydMCnhR1ZcIhnPXmmsUy0RNliDcya4ZMLhefPJyMigTu1aAEz7fQZWlpZ069IZgGZNmjB81Gi2bt9BueCynDh5ivAHDxg8MG8nsZOnTmNqaoqNtTWPnzxh4eIlVKxQnjKlSwNgYWGOhYVyFsskTY8uLRoybuZinr+OJis7m2lL1pKRmUmjGsqQnklzlmFtYUa/b5Rx/2t27mfJpl1M+q4n9tZWxMYrZ6/09WQY6CsdicTkFCJj4oh5E5se8SYWOSU3GiNTa8p83Ymz+xdgbuOKqaUTp/fMwsjUBu8StVT92DSrM94lalO6ekdlv3b+jntgVUws7MnKSOXOxb1EhF+g9YBlqjopidGkJsWQEK0MhYp5eZ8aZYuzaNsBAtydCfR0Zf2BE6RnZtG4mnLR5PiF67AxN2VAW+WM1co9R1i0bT8/9vsWeysLYhKUC+kM9GQY6OU9pKWkZXD4wjUGd2iS77x2rFeVCUs24e/uRJCHM+tDT5GemUWTKsFKm4s2YG1uysA2DZQ2Q46xcHsoP/XpgL2VuUabhy5cw9zYCDtLMx48f8X0dbupXiaQCsX9SU5NY9KC1fh7uBDo5cbG/UdJz8ykUTXlAskJ81dhY25G//bKB7dVuw+yeEsIUwZ0wd7agpg3qfyU9vQwMzbCzFg9hl1bSwtLUxNcHWx5ifItVLUGHTm4YxHW9i5Y2jiyb9NcTM2tKRacF9M8d0oPigd/TdV6HQDIzEgj+nVeqFps1AueP7mLgZEpFm9igb9u3JVVM4fh6V8G78By7Li1n9S0NDIyMzlw5Dj+Pl5s3R1CRkYm9WoqHxR//mMO1hYW9OysfNDMzs7m6Zu1FDk5OcTExfLg0WP09fRwdLDHwEAfd1f1hys9PRkmxsZ4WenRsbQ3E0Iv4W9jTpCdOeuvPiA9O5cmgcqHlfEHLmFtpMfAr5QPWYvP3aGYvQXOpkYkZ2ax5nI4r5PSaBbkBkBaVg6Lz92hprcjlgYyniemoi2VIJFATq6cZ08esH39QswtrChdPu/B6ddxfSlToQa1GrYBoG7TDiyZNQl3L388vAM5uGcDmRnpVKnZWK0vka+ecf/2Vb4fNzNfPQNDYxb+PgYtLS369utHXFwcCxcswMLCgj59+wLQtGlTRo4YwfZt2wguV44TJ04QHh7OwEGD1OykpaZy6tQpevTMH9IWExPDqJEjsbGxYaC7HtEnD2DXuieJTx+iF/0MvfK1kOjokhmmnDwxatoVeXICaUd3KK+VSyfQC66BQb22ZFw4ipalLfpfNSDjwpvMN1mZ5Ea/VLOpyM5EnpaiLPdQXqelq3XifOgCzKyV95s/Q2ZhaGqDZ/G8+83WuZ3xKl6bklWV95vTu3/HLaAqxub2ZGemcvfSXp49uECLvsr7TULMM+5f2YerX2X0jSxISXjNoB2L0dPTU5tM+tJIpMIB/xyEAy74TyOVStm4cSODBg0iKCgIX19fZs+eTfXq1TXKW1pacvToUYYPH061atXQ0tKiZMmSqpjtQYMGkZiYyNChQ4mKiiIgIIDdu3fj7a15gw1NlC5dms2bNzN+/HimTJmCvb09kydPLtQCzC+FaZkgKh5Zo/oeMH0MAM9Wb+d6d82vZkulQooWHDCHJG3wevSYnyZPUr3mjY6OVovxDQzwZ9TwYaxas5aVq1bj4OjAhB/G4vZO/uK4+DgWLV1GQkICFubm1Kr5NR3aFTwjWatyOcbNXMyhM+fZeegE3m7O/DF2MBZvQlAiY2LV2rD94HGyc3IY8/sCNT3dWzemRxulg3f60jV+nL9CdWzczMUAVGoQR+VGAylXuyfZmemErh9PZloSjp5laDVgKdo6eQ5uQvQz0lPyXoGnJceyb9VIUpOikOkZY+XoS+sBy3Dzz4v9v3ZqI3/um6v6vmGG0hmrX6kMC7cdIDYxCR9XR+aM6I3lm3CQ1zHxav3bduQM2Tm5jJy9Uq1/PZvXpXfLvNnWg+euoFAoqFexdL4xrVO+JPFJqSzcHkpsYjI+Lg7MGdYjz2ZcgtoP6dajZ8nOyWXE3DVqeno1q03v5sq3FTEJyfyxYY8ylMXMmIaVy9CzqdKBqF2xDPFJySzeupfYhGR8XB2ZNaq/KgQl8r0+bj90iuycHEbNXKpmr0fLBvRqVfBmNe9Ts0k3sjLT2bR4EulpyXj4lqLP6IXo6Oadx9jIZ6S+k7c54uEt5k7upvq+c/VvAJSr1oRv+ikX0pUoV5M2PcdzaOdStq/4BRcnOyaPHk50TAwr129SbsTj4cavE8eqcnxHRceo9TE2Lp6eg/PCSzbt2MOmHXsoERTAzJ8/nqu/jq8T8emZLDx7m9i0THysTZnTvLIqteDr5DS1ZBzJGdn8eOgKsWmZmMh08LM1Y3m76nhYKs+BVCohPCaRvbcjSM7MwtpIn8puthjKdPj12DUSD3bGx78EQ8fPRved8Yt6/YLkpLzxK/9VHZITE9ixYRGJ8cpwlaETZmNqph6CcurwbswtbQgqWSFfvfjYKFX4Xv9+/VR19PT0VA54QEAAI0aOZPWqVaxcuRJHR0fGjRunWu/zlhNv0ptquv9fvXqVly9f8vLlS5qGATvO8c2DGLp3746prQ05kc9JXj8bRaoyfEpqaqH+liMpnuR1szCo0wazPhOQJyWQceEI6Wfyp6n9EGVr9SQ7K53DG8e/2firDC36qt9vEmPeu9+kxBK6diSpiVHo6htj5eBLi77LcPVT3m+0dXR58egSV0+sIiMtCQNjS6p/VZYNGzZgaZk/HEjw70CiePcKEwgE/0pCdHyL3GbgnT0fF/qCmKRFFqm97dFVitQeQFuTfUVqT/IZi77+Crm6mtMj/p2clVYtUnvF9e8WqT2TYxuK1B7AjWqaH9L/Lmxkfz1TzV/BbO0vHxf6wmwpv7hI7fUpIAPjl+TPssFfRE+lSxe/iJ7/GmIGXCAQCAQCgUDwSYgY8M9DOOACgUAgEAgEgk9CxIB/HiIPuEAgEAgEAoFAUISIGXCBQCAQCAQCwSchQlA+D+GACwQCgUAgEAg+if/lXSy/BCIERSAQCAQCgUAgKELEDLhAIBAIBAKB4JOQSMUc7ucgHHCBQCAQCAQCwSchsqB8HsIBFwj+AxT1pjgAt/wbf1zoCxJ8bV2R2mtnuLtI7QHcNv77toXWxOUnpkVqLylFXqT2AAY4Fu153J/ZpEjt1Sn3dZHaA1i3v2j35/P2di9Se+4NFnxc6AvTJWJWEVv8rojtCT4V4YALBAKBQCAQCD4JkQXl8xAOuEAgEAgEAoHgkxAhKJ+HcMAFAoFAIBAIBJ+EWIT5eYjREwgEAoFAIBAIihAxAy4QCAQCgUAg+CRECMrnIWbABf85unTpQrNmzVTfq1evzuDBg/+x9ryLRCJh586dBR5/8uQJEomEsLCwImuTQCAQCARfGqmW5It8/lcRM+CC/zzbt29HR0fnn24GAK9evcLc3PyL6Vu3bh3Lli0jKioKD3d3+vXpjZ+vT4HyJ0+dZtXatURGRuHo4ED3rl0oF1xWdTw+Pp5lK1Zy+WoYqakpBAUG0b9PbxwdHfLpUgBL7OCuAXR9DcXSCm6nxVdl8RjaHdPSQeg52HCpZT8idx/5S33evu8gG3aGEJeQiKebC4N7dCbAx1Oj7OOI5yzbsJV7Dx/zOjqGgd060qZx/Xxy0bFxLFi9kfNXrpGRlYmTnS2TurUgwN2ZzYfPsHr/CWITk/F2tmdEx2YEebpobtvx84ScuczD568B8HdzpH+r+mrysYnJzN4cwrmb4SSnpVPKxw1nWyuOXrpJUnoWPn7F6dJ3JHYOmm285VDIFvbtXEtifCzObt506jUMT59A1fGfxvbh7s0ranW+rtucrv1Gq77P/M43n16pljaOnsF83Xoi5jZuBdq/dno9N05vICnuBQAW9t6Ur9sP94D8qRQVCgU7F/Xk6Z1T1PxmDi7+Nbl6ZA73Lm4hKyMZG9dSVGoyAVOrgu2p2T6xhMsHZxBQ6VsqNByjKr97YTOPru8l9uVtsjNT+eaH8wBsOvwnq/efJDYxGR8Xe0Z0bEqQh7NG3duPn2fvn1d4+DwSUJ7DAa3qqckrz+F+zt66T0paBqV83BnZsSkudlZqfT6yfQ4Xj28hIy0ZV+9SNOkyASu7gvt4Ys9ibl06RPSrR+jo6OHiXYq6bYdiba9Mw5eWksCR7XN5cPMMCbGvMDS24HqwD33aNGLf6Qus3XOE2MQkvF0cGd6lNYFemm3tOHKGfacu8PD5SwD83F3o37axmvzEBWsIOXlerV6F4v7MGd1fraxhJRmVgnTR15Pw6EUum46kE51QcLrJBhVlNKiop1b2Oi6XH1emqJW522vRqLIebvZaAMQkwfazCs7tn8Pt81vITE/C3r00VVtMwMy64DG9+ecGbp7dQPLb69TOi7K1+uPqXxWApLjnrP25lsa63wz8ncjnDzh/bAvpqcm4+ZSiRbfxWH/gHD66c4njIct58fgWSQnRdP5+NkFl1fUnJ8YQsmEG4TfOkJ6WjLtfWXxru3A2/BmrToYRk5KGj50lo5pUoZizbYG23rL/WjijNh6iRoA7M7/Nf38DmLLjOFsv3GZ4w8p0/KrER3UK/nmEAy74z2NhYfFPN0GFnZ3dF9O1b98+pk6dyqRJk7AyN2XHzt2MHTeeZYsXYmZmlk/+1u07TJ32G926dKZ8cDDHTpxg0o8/MW/WTNzcXFEoFEz68Se0tLSZOG4sBgYGbN+xk1Fjf2DJwvno6an/aJ78hBTSWoYGJF2/x7OV2yi7dd5f7vOR02eZu2IdQ/t0I8DHky17DjB08i+snzsdc7P8DcrIzMTe1obqlcozZ8VajTqTU1LpN3oSpYoF8Nu4EZiZGvP81WuMDeDg+TBmbNjDmM4tCfJ0YX3oKQZMX8r2X0dgYWKUT9fluw+pW6EkJbxc0dXRYVXIMfpPX8KWn4ZhY2GKQqFg6KyVaGtpMeO7Lhjqyxi/eCNbj57l577fIPdtwLZ1i5g2cRC/zN2Erq5MY5vPnTrE+uUz6dp3FJ4+gRzYs5FpEwcxbf4WTM3yrvfqdZrRskMv1XeZTC+frtodppIQ/ZRrp9ZSrcVYLO28uXBwPjsWdqfT6H1o62hug7GZHZUbD8PM2hVQcPvCTvYs7c83w3dgae+tJnv1+Cok5M1k3Ti1lNtn11Kl5VSMLZy4cmg2oSt70uK7vQXae0v08xvcu7gJc7v8Dw+52ek4elfB0bsKlw/OACD0/DVmbNzLmM7NKebhwrqDp+k/fRk7fhlWwDl8RL3yJSnxjSu6Otqs3Hecfr8tZevPQ7AxV57DIbNXo62lxR+DOmOor8fa0JP0+W0J234eCvpKPadClnL20Fpa9pyKhbUTh7bNZuVvPflu6l50Cjivj+9epEKtDji6ByGX53Jwyx+snNad737Zi67MgOSEKJIToqjXfgQ2Dp4kxL7k8MoR3HzwhPtPXzCqe1uCvNzYsP8YA3+Zx9bfx2Nhapy/j3fCqVOpDMV9WiPT0WbVnkMMmDqPTb+NxcbCTCVXsUQA4/t0VH3X1VZ3CWoF61KtpIw1oWnEJsppVEmP/i0M+XFVMjm5BZ/DlzG5zNmaqvouf89fd7fXol8LQw5eyGTLsXScnY2wNoErR5dy/fQaarb7BWMLJy6EzmLvkh60Gx5S4HVjZGpLxQZDMbVSXqd3L+1k/8r+tPl+OxZ23hiZ2dNl/Cn19t3axImQ5US/fMzp0LW07f0zFjZOhG6ZzdJfejFs2p4Cz2FWZhoOLr4EV2vB6pmD8h1XKBSsnDEQLS1tugyZi0zfiJP7V9JpwTZSM7P5oVk1ijnbsu7Mdfou38uuoe2xNDIocCxfxCcxY9+flHazL1DmyK1H3HgWibWJYYEyfwciBOXzECEogr+V6tWrM3DgQAYPHoy5uTm2trYsWbKE1NRUunbtirGxMV5eXuzfvx+A3Nxcunfvjru7O/r6+vj6+jJr1oc3MHg/BCUzM5ORI0fi7OyMTCbDy8uLZcuWfbSthbW9fPlyAgMDkclk2NvbM2DAANWx90NQLly4QKlSpdDT06Ns2bJcvXr1o+14y4oVK2jTpg0tW7bE1cWFQQP6IdOTEXrwkEb5nbt3U7ZMaVq3bIGLizOdv+2Il6cnu/buBeDFy5fcuXuPgf374uvjg7OTEwP79yMzK4tjJ06o6Xr48BHHTaFddOHaGh16kvsTZhK563Ch+6eJTbv307h2DRrWrIa7sxPD+nRDTyYj5MgJjfL+3p7079KBWlUq5nMe3rJu+x5srCwZM7A3AT6eONjaUK5kcZxtrVh74CTNq5WnSdVgPBxtGdOlBXq6Ouw6eUGjrp/6dKBNzUr4ujri7mDDuO6tUcgVXLgdDkBEZAw3HkYwunMLAj2ccbWz5nVsAnq6uqSmZ+Li5k3vwRNJiIvh8jnNfQLYv2s91es0o2qtxji6eNC17yhkMj1OHlbfkEkm08PM3Er10TfI73Dq6hlz6/w2ytftR2D5Fti5FqNux2mkJkbx8EbB58sj6GvcA6thbuOGuY07lRt9j47MgFdPwtTkop7f4cqx5dTu8DOgdEBunVlNiep9cA2oiYWdL1Vb/0J6chQRdz58fWRnpnJi83AqN5uMTN8k3/HAyp0pUa0nNs55M3zrQk/RvFo5mlZRnsOxnZu/OYcXNdr4qU972tSsiK+rA+4ONozv1gqFQsGF2w+AvHM4pnMzAj2ccbO3Zkyn5mRmZXPgXJiqj2dCV1O9SR8CytTEzsWX1r1/ITkhijtXCu5jl+FLKF2lObZO3ti7+NGq51QSYl/x4vEtAGydfOgwaDb+pWpgaeuCZ0AF+rZtzO2HT2lSoyJNqlfEw8me0d3boaery+7jZzXa+XFAF1rXqYqvmxNujnb80OsbFAoFF2/eU5PT1dHGysxE9TF5zxGsUUpG6PkMbjzM4WWMnNUH0jA1klDC68NvHOVySE5TqD6pGeob+7Sorsfxq5kcupjJ61g5Calw/6WCsJOrKVOrD+5BNbFy8KVmu19JTYri8c2Cx9Qt8Gtc/athZu2GmbU7Fep/j46uAa+fXgNAKtXCwMRa7XPz0mGKlavL2SMbqdmsN0Fla+Lg4ku7vr+QlBDFrcsFv73zK1mVem2+o1iw5ln1mNdPiXhwjRbdxuPsWQwbB3dadJ1AckYWJV3taFbWH09bC35oVg09XW12XrpboK1cuZwxmw7Tt1YwThb5/x4AIhNT+GX3KX5uWxudIs5KIpFKv8jnf5X/3Z4LioxVq1ZhZWXFhQsXGDhwIH379qV169ZUqlSJK1euUKdOHb799lvS0tKQy+U4OTmxZcsWbt++zfjx4xkzZgybN28utL1OnTqxYcMGZs+ezZ07d1i0aBFGRvkdk/cpjO0FCxbQv39/evXqxY0bN9i9ezdeXl4a9aWkpNCoUSMCAgK4fPkyEydOZNiwYYXqQ1ZWFrdu3aJSpUqqMqlUSqmSJbl9957GOnfu3qVUyZJqZWVKl+LOXeUNPjs7GwBdXV01nTo6Oty6dVtVlpGRwS+/TadlDJh8YJbrS5OdncP9h48pUyJIrX1liwdx6174X9Z7+uJlfL3cGTdtFo0796XbkDHsPniU7Jwc7j55QbnAvNlcqVRKuUBvbjx4WijdGZlZ5OTmqhyXrOwcQOnYALyIjiM2MRl9mS5h4Y8BMDA0wsMnkAf3bmjUmZOdzZOHdwksEazWrsASwfnq/HniAH071mbUwHZsWj2PzMyMfPqObplAWlI0t85v59a5rSgUCmT6xti5luDV48I9EMrludy7EkJOZhr27qVU5dlZ6RxYPZQarcdjaGKtHJOUWNJTYnDwrKiS09UzxtqpOFER1z5o5+yeKTj7VsPRq9IH5d6Sm5vNnScvKB+gfg7LB3px/WFEoXRkZGYrz6Hh++cwz8mUSqXo6mgTdv8JAPHRz0lJjMEzMK+PegbGOHkUJ+LBh/uoZjs9GQADo4JfNyUmp6IAKhTzU2tPuSBfbry5pj5qJzOLnJzcfA725dvh1Ok9ipZDJvPLso0kJOeFiViaSjA1knI3IidPTxY8eZ2rChspCGtzKT/1MmZiN2M619fH3DhvptRIX4K7vTYpaQqGtDPk597GtKwE+rnPSUuOxtk779zL9I2xdSnO66dhheqnXJ5L+NUQsrPSsHMtqVEm6vlNXj69i1/JqiQnxOD9zjnUNzDGxbM4T8MLZ08TOdlZAGoz9nJ5Drly9YcQqVRCBU8nrke8LlDXoiOXMDfUp0VwgMbjcrmCsZuP0KVqSbxs/z1vggWFQ4SgCP52SpQowQ8//ADA6NGj+eWXX7CysqJnz54AjB8/ngULFnD9+nUqVKjApEmTVHXd3d05e/Ysmzdvpk2bNh+1df/+fTZv3syhQ4eoVUs5Q+Hh4VGoduro6HzU9o8//sjQoUP57ru8bX6Dg4Pz6QJYv349crmcZcuWoaenR2BgIM+fP6dv374fbUt8fDy5ublYWlqqlZubmfHs2fMC6iRg/l5oirmZGfHxCQA4OzlhY23N8pWr+G7AAPT0ZGzfuYuYmBji4uNVdRYtWUqAvx9BJ559tJ1fksTkZHLlcixM1Z0RczMTnr54+Zf1voqMZteBI7RpUp9vWzXl7oNHzFq2mtzE+uTK5Viaqj+cWZoa8eRVVKF0z968DyszE5UD6GZvg52lGXO37Gds15ZExiUAEJeUQkxCsqqeqZkFifGxGnUmJyUgl+eqhZoAmJhZ8PJ53oNBxap1sbK2w9zCmognD9i0ei6vXzzlu9HT8mQaDELf0IKjWybiWawmR7dMIiszjVLVOmFgbElqcswH+xfz8h6b/mhHTk4mOjIDGnWfh6Vd3gPniR1TsXcvhWexvNnAzIwkAPSN1K9dPSMr0lMKfqXy6HoIsS9v07jvlg+26V0y0xLeXDPq59DCxJgnrwr3+mb2ln1Ym5lQPkDZL7Vz2KUF+jJd1oWeJjIukehEZd+SE5XjZmSq3kcjUytSEgpnVy6XE7J2Kq7epbF10ryuIzU5nmU7Dij79F6oiYWpCU9eRhbK1pz1u7AyN6VcUJ4TX6mEPzWCS+BoY8nzyBjmb9rDd78uYPnkoQCYGCjn55LT1B3H5FQ5JoYFhx48eZXL2gNpRMbLMTWUUr+ijO/bGvHTqmQys8HKTKm3QUUZO05m8Dwql7qVjSjtrBw3fWP1MdU3siLtI9dp7Kt7bJvTntycTHR0DajfZS4WdponRu6c34aNgwem5jYAGJtaqR03MrUkOeHD9j6EjYM7Zpb27N/0By27T0RXps+h7fMBSM/KUZO1NNbncXS8JjVcefKKHZfusHlQwb97K05eQUsqoUOl4n+5vZ+DCEH5PIQDLvjbKV487+agpaWFpaUlxYoVU5XZ2ioXoURFKZ2eefPmsXz5ciIiIkhPTycrK4uS783sFkRYWBhaWlpUq5Z/oVhh+JDtqKgoXr58Sc2aNQul686dOxQvXlwttrpixYofqKEkMzOTlBTlTFRqaipJSUlkZmYhk+l+pOaH0dbWZvzYMcyYNZtW7dqrZtSDy5ZBoVD+yJ49d56w69eZP3sWjxZqDnX5ryFXyPHz9KB3x7YA+Hi48SjiGfvOXPosvSv2HuXg+TAWj+qDTFc5W3rowjXik1I5cukGhy9eRypR/kAF+3up/v+l+Lpuc9X/nd28MLOw5Jdx/dm/cx3bNiwGQC6X0LT3IgBKVumIVKrF5aPLKFWtU6FsmNu4882InWRmJBMeFsrBdSNpNWgtlnZePLxxhOf3z1G2Vk/mDc+bFVfIP/21SUrCK87tnUq9bss+GiP+JVmx9xih56+xeFRv1TnU0dZi+sBvmbxsK9X7T0JLKsXdwQapVMKF2w+40rMMnYYu+Gzbe1ZPJvJFOL1+WKfxeEZ6Cqt/74OLvQ3R8Yl/2c7KXQc5dPYyC8d9p+ojQJ1KeYuzvVwcKV2hEuZeJZDp6vB7cR0W7EzVpO6j3H6S52S+jJHz5HUOk3uYUNpXh7M3s1UrBf5YuIP1S6cAsEYqYebshX/JHoCZtTtth+wgMyOZh9dDObJxFM36rlFzwu9f2cPxrePJyUpHS1uH3NycD2j862hp69D5+9lsXvwDE3pVRCrVws23NKAMUSwMqZlZjN18mAktqmNuqK9R5vaLKNaduc7GgW0KrfdLIxzwz0M44IK/nfczlEgkErWytzcPuVzOxo0bGTZsGL///jsVK1bE2NiY3377jfPn1VfrF4S+vuabVWH4mO3P0f0pvF146e3tTb169UhNTeW7gQMYPGgg8QkJBWZZMTc3Iz4hQa1MKW+m+u7t7cWCubNJTU0lOycHM1NTBn0/FB9v5Q9V2PXrvHr1mhZt2oF7np6VtuCRAf1ffene5mFqbIyWVEpcorqzEZ+QhKWGBZiFxdLcDFdnR7UyVydHTpw+i5ZUSmyienaG2MQUrDQsbHuX1fuOszLkGAtG9MLbJS+DTLVSART7aQgAKekZZGRm0ePnBcQmJVPGL+9NTGJCHK7ummc9jU3MkEq1SEyIUytPSojDzNxSYx0ATx9l6I61rQM/zVQuSL353JjcHOUr8dTkWOxcS3A+dD45OVmkJcdi7ehXoD4ALW3dN4swwdY5iMiIG1w9sZpabSfzLPwcCbERHN40Xq3OlcNzAEhPicXAxEZVnpESg4W9v0Y7sS9vkZEay655LVVlCnkur59c4s659XSedA2pNH/Yg8zA7M01o34O45KSsfzYOdx/ghUhx1k4oic+zuoL3ALcnNg4ZTDJaenk5OSiq6NDt5/n4+Voh3/LX1RhBimJsZiY5fUxJTEGe1fNfXyX3auncC/sBD3GrsHUIv/C7cz0VFb91hOZngHTh35LrZ4jiUtMVpOJS0zC0kxzXPBb1uw9zKrdh5g3ZgDero4flDVRZNDpmw50aPA1N7S7of1muI0NJCSl5s2CGxtKeR5V+Ies9EyIis/F+s3Md1KqckWmjVtVKrRSXqdubkagoxzT9ORYDN+5btJTYrB0+PCYamnrvlmECTZOQUQ/u8n106up3mqySsYtoAbBdQZwbt8f9Bu3Bl095f08OTEGE3NrlVxKYiwOrh/+u/gYTu6BDJm6g/S0ZHJzstEzMGJ055KY6Ks/XMYmp2NlnH8B5rPYJF7GJzNo9T5VmfzNJEnpsQvYNaQDVx6/Ii41nXq/rlbJ5MoV/L7vT9aduc6xFt/l0yv4dyEccMG/ijNnzlCpUiX69eunKnv48GGh6xcrVgy5XM6JEydUIShfyraxsTFubm4cOXKEGjVqfFSfv78/a9asISMjQzULfu7cuY/WGz16NEOGDKFLly60bduW4cOH8+pZBHK5nLCwazRp1FCzPT8/wq5do0WzpqqyK1fD8PfL/2NiaKhcLf/ixUvCHzyg87ffANC2VSvq16kDwIMmysWlvzlD01gI/EAawi+Bjo42Pp7uXL5+i6rllbNzcrmcyzdu0qJ+nb+st5ifD89eqD85PHv5CgdrC2wtzbh4+wE1ygSp7F28/YA2tQqOQV4Vcoxle44yb1gPAtzVU90Z6uthqJ/3xkOhUGBubMjjF5EMad8YgPS0FB7dv0XNei3RhLaODm6efty+fpGyFaqr2nXr+iVqN2hdYLsiHt8HwMbeCVt7ZbueZyqzehiYWPPs/llyczKRGZiSm5PF66fXKP5V+wL1aUKhkKsc+uBavQiqoN6etb82plyDUVw/sYiXj86pHKesjBSin1/Hr3w7jXodPCvSfNAutbJT28Ziau1O8ao9NDrfAFpaOvi7OXLh9gNqlFGmaJTL5Vy4/YC2NQs+hyv3HWf5nqPMHdqdAHenAuWMDZROWsTrGB4+j2Rw24Yk2CozChmZWvHo9jkc3jjcGekpPH90nfI1NfcRlNfDnjU/cvvyYXqMXoWFdX7bGekprJzWA20dXTp+Px8jgz/xc3fm4s17VA8uoerjxVv3aV2naoG2Vu8+xPKdocwZ3Z8AT9cC5d4SGR3Drbv30G1QlZg3aQYTU+T4umjzIlp5zvV0wc1Oi9PXsj6q7y26Osqwkwt3lA5kbJKChBQ5zvbGXH+sfKtnamVC8SAFpubWPA8/i5Vj3nUTGXGdwIqfeJ3K865TVTv0jHh6+zjugV/j4lUchUKBsZkVD26dw9HtzTlMSyHi4XUq1ir4HH4K+gbKh8Do108A0NHKW3Ynlys4//A57SoWy1fP3dqMrd+1VSubd+gCqZlZjGj0FXamRjQq5Ut5L/Xrp++KvTQq5UOzMp/3AFFYxAz45yEccMG/Cm9vb1avXk1oaCju7u6sWbOGixcv4u7u/vHKgJubG507d6Zbt27Mnj2bEiVK8PTpU6Kioj4aQ14Y2xMnTqRPnz7Y2NhQv359kpOTOXPmDAMHDsynr0OHDowdO5aePXsyevRonjx5wvTp0z/aB5lMhkwmo0ePHowcOZLSpUtjaWrCjl27yMjIoE5t5YPFtN9nYGVpSbcunQFo1qQJw0eNZuv2HZQLLsuJk6cIf/CAwQPzsrScPHUaU1NTbKytefzkCQsXL6FihfKUKa18RWphYY6FhXKGPTU7r03mOWD5gTe2WoYGGHrl5bU2cHfCpIQfWXGJZDwr/LR52yb1+Xn2Ivw83fH39mTL3gOkZ2TSoKYypOjHWQuwsjCnz7fKH8js7ByePFfGxGfn5BAdG0/44yfo6+nhZK+cWWzTuD59R09i9dZdfF25PHfCH7Ln4DHGdmmBtpaUCUs24e/uRJCHM+tDT5GemUWTKsq4/vGLNmBtbsrANg0AWBlyjIXbQ/mpTwfsrcyJSVDGBBvoyTDQU85uHbpwDXNjI+wszXjw/BU5uXK0tKRkZefw7MkDtq5fiJmFFWUq5IVJTR3Xj7IVqlO7ofIard+0A4tnTcLdyx8P70BC92wkMyOdqrUaARD56jlnT4ZSokwljIxNefbkAeuW/4FvYClc3JTx6FcunOLmw3TsXEvgX7YJZ/fNQq6QE1iuBaFrR2BoaqMWu71tbmc8i9emZFVlWrrTe37Hzb8qxub2ZGemcvfyXp4/uEDzPsqMQoYm1qqFl+9ibO5A0FdduHZsIaaWrhiZO3Hl8Gz0jW1w8c+zt39ZV1wDahFQ8Rt0ZIaY26q/EdDW1UdmYKZWnpYcTXpyDEmxylj4+Mj7fF0miAU7DhLg7kSghxPrD54mPTObJlWUD3HjFm/CxtyEga3rvzmHx1mw4yA/926Pg5WFKjbfQE/3nXN4HXNjwzfn8DW/rdtD9dKBVAzyYT/Kt3aV63bi2K6FWNq6Ym7txOFtszE2s8G/dF4fl/3SlYAytahYW/mAu3vVZK6fC6Hj4LnI9AxJfhMvrmdgjI6u3hvnuztZWRm07jONzPQUYnKSaFy9IjNWb8Xfw4XAN2kI0zMzaVytAgAT5q/G2tyUAe2VD9+rdh9i0ZYQfhzQGXtry3zXaVpGJku27ePrciWxNDPheWQMc9bvxNnWiool/Ak9o2z/sauZ1CuvR3S8nNgkOQ0r6ZGYouDag7ybw8BWhlx7kM3JMKXD27yqHjceZROXpIwBb1hJhlwOl+/m1Tl8MZOGlfR4EZ3L82g5FXzB0lhCqWqdOBu6EFNrN0wsHLlwYDaGJja4B+WN6a6FXfAIqkWxr5TX6dl9v+PqWxWjN9fp/at7efHoAo17LlW7nhJjnvLy8SUadVeGZ0kkEqrU68SRnYuwsnPFwtqJ0K2zMTGzIbBMXpjhop+7ElS2FpXrKM9hZkYqMa/zFvjGRb/gxZM7GBiZYm6lfBt27fwBjIwtMLOy51XEfXavmUqQkw1/hj9j9+W7BDnbsPbMddKzclTO8tjNh7ExMeS7ehWR6Wjjbaf+tstYT/mw8rbcTFsLM0P1tKM6UilWRga4WX+5vSg+xP9yBpMvgXDABf8qevfuzdWrV2nbti0SiYT27dvTr18/VZrCwrBgwQLGjBlDv379iI2NxcXFhTFjxny0XmFsd+7cmYyMDP744w+GDRuGlZUVrVq10qjPyMiIPXv20KdPH0qVKkVAQAC//vorLVtqnvl8nwYNGhAXF8fs2bOJjorCw8ODnyZPUoWgREdHq8UVBwb4M2r4MFatWcvKVatxcHRgwg9jcXPLm/2Ki49j0dJlJCQkYGFuTq2aX9OhXdt8tj8V0zJBVDyyRvU9YLpyvJ+t3s717qMLqpaPml9VJCEpmWUbtxIXn4iXuyvTx4/E4k0ISmR0rFq8Y0x8PN2GjFV937grhI27QigZ6M+cH5ULf/29Pflp5GAWr93Eqs07sLexZmC3jjSooPzhi09KZeH20DebuDgwZ1gPVfjC67gEtVmerUfPkp2Ty4i5eX0F6NWsNr2bK2fpYxKS+WPDHmUoi5kxrWsq4/5/WrmVpLT1+PiXYPiEWWo5wKNevyA5KUH1vUKV2iQnxbNt/WIS42Nxcfdh+IRZmJopf3y1tXW4ee0CoXs2kJmRgYWVLWUr1qBZm24qHdra2lw7tY4TO35GIVego2dIbnYmty9sx8GjDM37LFWLt06IfUZ6at6CsPTkWELXjSQtMQpdfWOsHHxp3mcZrn6VP3oei1XpQU5WOmd2TiArIwkb19LU7bJYzV5yXAQZaZoXoBXE3QubCDual2d+35JvAahfsRQLdhwkNjEZXxcH5g7tlncOYxPU/k62HD1Hdk4uw+ep543v1bQWfZrXBiAmMZkZG/eqzmGjSqXp2VR97UeVhj3Iykxn54oJZKQl4epdmi7DFqvlj46LiiAtOa+PF45uBGDpz53VdLXs+TOlqzTn5ZPbPHt4HYAZw+sC8Mvb9rVqwKKtIcQmJOPj6sjsUf1VISivY+LU/i62HTpFdk4OI2eqp1/t2bI+vVo1RCqV8CDiBSEnz5Ocmo61uSnli/vRp3Ujtewvhy9mIdOR0L62PvoyCQ9f5DJ/e6paDnArUylG+nm2zYwkdG1ggIGehJR0BY9e5PD7hlRS0vPCWI5fzUJHW0LL6voY6EmITYYd58C/cg9SUtI5vnU8WelJ2LuXoVHPJWrXTVJshPp1mhLHkY0jSU2KRqZnjKWDL417LsXZR/06vXNhG0amdmrl1Rt1Jyszna3LJpCRloybT2l6jFQ/h7GRz0h95xw+f3SLhT91UX3fs/ZXAMpUaUa7PspUnMnx0exZO42UxBiMzawpU6Upv5ZRsPXCbeYfvkBMchq+9lbM79oIyzchKK8TUr74OpG/m//lXSy/BBLF29VXAoHgX8uTB/eL3OYt/8ZFai/4mubFaH8XBkl/PbPKX+W22V9bHPxXufzkr8fO/xWSUgreIfHvYoDj7iK1t1/apEjt1dH5azvKfg5jjpcrUnve3h+OZf/SuNsX/XVaJ2JukdrTK4IY8IedNIdDfiqeq0O+iJ7/GmIGXCAQCAQCgUDwSYgY8M9DBPAI/mfo06cPRkZGGj99+vT5p5snEAgEAsF/hn9yJ8x58+bh5uaGnp4e5cuX58IFzbsXg3K3bIlEku/TsGHeDH6XLl3yHa9Xr95falthETPggv8ZJk+eXOBOlCYmRfsKVCAQCAQCwaezadMmhgwZwsKFCylfvjwzZ86kbt263Lt3Dxsbm3zy27dvJysrLytObGwsJUqUoHVr9SxO9erVY8WKFarvMtnfuyeBcMAF/zPY2Nho/OMUCAQCgUDwafxTISgzZsygZ8+edO3aFYCFCxcSEhLC8uXLGTVqVD55Cwv1XYU3btyIgYFBPgdcJpNhZ5c/L//fhQhBEQgEAoFAIBB8EhKp5It8MjMzSUpKUvtkZmZqtJmVlcXly5fV9vmQSqXUqlWLs2fPFqrdy5Yto127dqr9MN5y/PhxbGxs8PX1pW/fvsTGxv71wSkEwgEXCAQCgUAgEPwjTJ06FVNTU7XP1KlTNcrGxMSQm5uLra2tWrmtrS2vX7/+qK0LFy5w8+ZNevTooVZer149Vq9ezZEjR/j11185ceIE9evXJze38Lu+fioiBEUgEAgEAoFA8El8qY143u7+/C5/V/z1smXLKFasGOXKqafabNcub/fTYsWKUbx4cTw9PTl+/Dg1a9Z8X80XQcyACwQCgUAgEAg+iS8VgiKTyTAxMVH7FOSAW1lZoaWlRWRkpFp5ZGTkR+O3U1NT2bhxI927d/9o3zw8PLCysuLBgweFH5BPRMyACwT/AUzSIj8u9IUp6o1xLpb4pkjt1dzUr0jtAQQUsT1HD/citSeXaBWpPYD0TNuPC31B/PSiitSeJOHvewVeEN/UL9rFdUY6RTumzil3itQewI3Azh8X+oIEF6m1okNXV5cyZcpw5MgRmjVrBoBcLufIkSMMGDDgg3W3bNlCZmYmHTt2/Kid58+fExsbi729/ZdotkbEDLhAIBAIBAKB4JP4p/KADxkyhCVLlrBq1Sru3LlD3759SU1NVWVF6dSpE6NHj85Xb9myZTRr1gxLS0u18pSUFIYPH865c+d48uQJR44coWnTpnh5eVG3bt2/NjiFQMyACwQCgUAgEAg+Dck/k4awbdu2REdHM378eF6/fk3JkiU5cOCAamFmREQE0vcc+3v37nH69GkOHjyYT5+WlhbXr19n1apVJCQk4ODgQJ06dZgyZcrfmgtcOOACgUAgEAgEgk/in9yKfsCAAQWGnBw/fjxfma+vLwqFQqO8vr4+oaGhX7J5hUKEoAgEAoFAIBAIBEWImAEXCAQCgUAgEHwSXyoN4f8qYvQEgr8ZiUTCzp07/+lmCAQCgUDwxfhSaQj/VxEz4ALBf4itB46ybncocQmJeLk6M6RbewK9PTTK7jp8kv0nzvLo2QsAfD1c6dO+uZr88fOX2XHwBHcfPSUpJZVV08bj4+6iOr5930E27AwhLiERTzcXBvfoTICPp0Z7jyOes2zDVu49fMzr6BgGdutIm8b188lFx8axYPVGzl+5RkZWJk52towe2PuTxsHiq7J4DO2Oaekg9BxsuNSyH5G7j3ySjrdsPHuDVSfDiElJw8fOklFNqlDM+eOp7fZfC2fUxkPUCHBn5rf5+wkwZcdxtl64zfCGlen4VQkANh8+w+r9J4hNTMbb2Z4RHZsR5Omisf724+cJOXOZh8+VO7z5uznSv1V9NfnYxGRmbw7h3M1wktPSKe3rzoiOzXCxs1bJ7AzZz6btu4mLT8DT3ZWBvbvj7+Ot0ebjp89YuW4j9x8+IjIqmn49utCqaSM1mV37QtmzP5TXkdEAuLk48227VgQHK5Of7dq7j83bd76x58aA3j3w8/XRaO/J0whWrttA+IOHREZF07dnN1o2bawms37zNk6fPcez58+R6eoS4O9Hzy6dcHZyBGDb/sOs37Vf+Xfh5sL33TsSUMDfxaOIFyzduJ17j57wOjqWQV3b07aReqaDDbv3s3zzLtLSM5BIJLg7OzKmfzf8vTTr/PPUMTasXU505GvsHRzp2LUPZYIrqI4rFAo2rl3O4dC9pKWm4OtfjF79h+Dg6JTXrgf3WbNiIQ/C7yGVSqlQqSpdevZXHR83fw37z1zSaP/g/B+xMDVWfd9x9E9CTl/k4bNXAPi7O9OvbSOCPF3V6j1+8ZrZG/dw5c4DcnJzMTbQJ1cuJyUjG2+/4nTqMwo7B83X5lsO79vM/h1rSUyIxcXNm449h+PhEwhAdORLhvduqrFey479aNxKmbWiVcOq+Y43aNKKsCsX1Ma0dHBFtTHdtHY5h0P3qI2pvaOzSuaXSaN48vgBiQkJGBoZUbxkWTp27YPzm3V1W0KPsXTLXhKTU0AiwdzEmA6NavFtk/yZL3YeOcW+k+d49OwlAH7uLvRt34xAL2Wqz5ycXBZu2smfV2/yIioGIwN9goP86d+hOdYWZmrt3rZ+MccO7iItNQUf/+J07Tvio+N8KGQLITvWkRgfi4u7N516DcXzzTgD/DimL3dvXlGr07ZtWyZPnvxBvYJ/DjEDLhD8Rzh85gKzV22me+vGrPx1PN6uznz/00ziEpM0yl+5dY/aX5Vj7oRhLP5pNLaW5gz+8Q+iYuNVMukZWRT386Z/x5b56h85fZa5K9bRpW0Llv7+I15uLgyd/AvxCYka7WVkZmJva0Pvb9thYW6mUSY5JZV+oyehra3Fb+NGsGb2NPp3/QZjQ8NPGgstQwOSrt/j5qBJn1TvfQ5cD2d6yBl61yzLxgGt8bW3ou/yvcSmpH2w3ov4JGbs+5PSbgXniD1y6xE3nkVibZLXt4Pnw5ixYQ+9mtZm3aTB+Dg7MGD6UuKSUjTquHz3IXUrlGTRqN6sGDcAWwsz+k9fQlSc8hwoFAqGzlrJi6g4ZnzXhfWTB2NvaU7faYtJz8wC4NipMyxYuopO7VuzaOY0PN3dGDn+xwLPY2ZmJvZ2tvTs/E2B59HaypIenTuycOY0FvzxK6WKBzHup2k8eRrBsZOnWbh0Bd+2b8vCWb/j4e7GqPGTiU9I0Kgr4429Hp2/xcLcXKPM9Zu3aNqwPnOm/8qvUyaSk5PLyHGTSM/I4PCZ88xZuZFubZqx/LdJygfTKdOJL+DvIjMrEwdba/p2bI2lmWm+44fPnGfe6s3o6+nxw4CefF0xmOevIhk0cRrR7/ztvOXu7Zv8MW0KNes0YPrsJZSrWIVpP44l4skjlczOrRvYt2c7vfsPZeqMhejp6TFl3DCysjIBiIuNYdLYIdg5OPLLjAWMmzyNZxFPmPvHLwAcPHuFw+evMqRjcxb9MJD6lctipK9H2QAvSvt7qTnfAJfvPKBuxdIsHDuAFZO+x9bSjAG/LCAqLu8cPI+MocfkWbjZ27Doh4G0rV2FlPQMvmvflPHTViDT0+f3SQNVbdTE+dMH2bh8Js3a9WDSjDU4u3kzfdJAkhLiALC0smXmiv106jMKLW1t2nf7npoNWqOlpcX+HatVcgD9B49myZodLFmzg5HjpnJg73Zq1mnIb7OXEqxxTNezb882evUfys8zFiF7b0wBAouXZsioScxevJZhY6bw+tULpv88DoBDf17kj1WbSUxJpVvLhtSqWIb0jEzW7z3ElgPH8vX1yq371KkUzPzxQ1g6ZSQ2luYM+mkWUXHKayIjK4t7j5/RrWVDVv8yll+G9CHi1WuG/TZPTc/e7Ws4uHcz3fqOZNJvy5DJ9Ph1wncfHOdzpw6xbtksmrfrzo9/rMLFzYtfJ3xH4jvjB1CjTlPmrtrH3FX7OH36NCNGjChQ55fgn0pD+P+F/92eCwSfwIEDB/jqq68wMzPD0tKSRo0a8fDhQwCysrIYMGAA9vb26Onp4erqytSpU9Xqx8TE0Lx5cwwMDPD29mb37t2f3IYNew/RpGYVGtX4CndnB0b06ohMV5e9R09rlJ/0XU9a1q2Bj7sLbo72jO7TBblCwaWbeZtQ1K9Wke6tGxNcLP8WMZt276dx7Ro0rFkNd2cnhvXphp5MRsiRExrt+Xt70r9LB2pVqYiutuaXa+u278HGypIxA3sT4OOJg60N5UoWx9H+0zZTiQ49yf0JM4ncdfiT6r3PmlPXaBEcQLOy/njaWvBDs2ro6Wqz89LdAuvkyuWM2XSYvrWCcbIw0SgTmZjCL7tP8XPb2ui88wOz9sBJmlcrT5OqwXg42jKmSwv0dHXYdfKCRj0/9elAm5qV8HV1xN3BhnHdW6OQK7hwOxyAiMgYbjyMYHTnFgR6OONmb8Pozi3IzMrmwNmrAGzZuYcGdWtRv9bXuLk4832/XshkMvYfOqrRpp+PF326deLrql+ho6OjUaZSubJUKFsaJwd7nB0d6N6pA/p6ety5d59tO3fToG5t6tWuiauLM4P790Emk3HgkOY3FH4+3vTu1oUa1aqgo6P5uvll8njq1voaN1cXPD3cGfH9QKKiowl/8JBNe0JpXKsaDb+ugruzI8N7d0Ym02XvkZMadfl7eTCgcztqfVVBo70Nu/aDQsGovl2oX6MyE7/vg4mxIQb6euwIzT9mIbu3UqpMOZq1bI+Tixvtv+2Ou6cP+/fuAJQPSXt3baFV228pV/Er3Nw9GTh0DPFxsVw4q/zbvXThT7S0tenZ93scnVzw8vGn94AhnDtzgmevo1m3/zjNalSiQ/3qlPH3YlKfb5Dp6nDlzkOaVquQr00/9u9E69pV8HVzws3Blh96tkchl3Ph1n2VzLzNe6lUIoDvOjTF19WRkDOX6N2yPo2qlsPZzZue300iPi6GK+c1/70DhO5aT7U6zahSswmOzh507jsaXZkeJ48o729SLS3MzK04fWQP1es0p26TDoTfuUbFag3Qlemr5AAMjYwwt7DE3MKSU8cPUrJMeZqqxrTHmzHdrhrTkF1baNn2W8pVrPJmTMeqjSlA4+Zt8PELxNrGDr+AYjRv/Q3h926Tk5PLhpDDOFhbUaNcKXq1acLkgd0xMtAnwNOd1btD82XMmDyoO63qVsfHzRk3RzvG9umkvJ/eUN4rjAz0mfPDYGpVLIurgx3FfDwY1rU9dx9F8DomTtXuA7s30rRNV8pUqIaLuzd9vp9IQlwMl88VPM77d22gRp2mVKvVGEcXD7r2G4VMpseJw3vU5HRlepiZW2Jmbom1tTVGRkYF6vwSiBCUz0M44AJBIUhNTWXIkCFcunSJI0eOIJVKad68OXK5nNmzZ7N79242b97MvXv3WLduHW5ubmr1J02aRJs2bbh+/ToNGjTgm2++IS4uTrMxDWRn53Dv0VOCi+c5ylKplODi/ty8/+gDNfPIyMoiJycXE6OPzzZnZ+dw/+FjypQIUrNXtngQt+6FF7rd73P64mV8vdwZN20WjTv3pduQMew+qNkR/LvJzsnlzstoKnjlhQFIpRIqeDpxPeJ1gfUWHbmEuaE+LYI172splysYu/kIXaqWxMvWQs3e3ScvKBeYF/ohlUopF+jNjQdPC9XmjMwscnJzMTEyACArOwcA3XccSalUiq6ONmHhj8nOzub+g0eUKVFc7XiZksW4fe9eoWx+jNzcXI6ePE1GRgY+Xp7cf/CQ0iVLqNkrXbI4t+9+GXsAqanKNxT6enrce/gk399F2eKB3Lz/8JP1ZmfncP9xBApAV0dXTV9WVjbX797PV+f+3VsUL1lGraxk6WDu3b0FQOTrVyTEx6nJGBoa4e3rr5LJyc5GW1tbLXexrq4yTuLy7XDuPn5G+aC8EB6pVIqNhRkSqYSa5fPGuiCU140cU0PldSOXyzkTdhtXexsG/LKAmn3GEJuQhPSdvM4GhkZ4+gTy8N51jTpzsrN58vAuAcXLqbUrsEQ5Ht67oVHuyYM7RDy+T7U6TfPJLV3wB13bN2bU9724fvWShjEtx/034xWlGtOy+cb0/t2bGtubnJzEqeOH8PUPQoGCu48iMDE2RFdXR9X24GJ+RMbGERUbz6vo2I+Oae5H7qcpaelIJBKMDPQBZUhOYnwsQSXyxuztOIe/MxbvkpOdzeMHdwks+f44B/PgrnqdP0+E0uebOowa0J7ff/+d9PT0D/ZB8M8iYsAFgkLQsqV6iMby5cuxtrbm9u3bRERE4O3tzVdffYVEIsHV1TVf/S5dutC+fXsAfv75Z2bPns2FCxeoV69eoewnJKeQK5djYao+42phasLTFwU7i+8yf+1WrC3MNM52F2xP/RW9uZkJT1+8LJQ9TbyKjGbXgSO0aVKfb1s15e6DR8xathodbW2s/rLWv0Z8Wga5cgWWb5zZt1ga6/M4On+oAcCVJ6/YcekOmwe1KVDvipNX0JJK6FCpuFq50p4cS1P1WSlLUyOevCrcVtyzN+/DysyE8gFKJ97N3gY7SzPmbtnP2K4t0Zfpsi70FJFxicQkJJOYlIxcLsfc/P3zaEbE8xeFslkQj548ZcDwsWRlZaGvr8eksSMwNTVV2jPLb+/ZZ9p7i1wuZ/6SZQQG+GFubq68Tt+zZ2FqQsSLV5+sOyFZOV4eLo6s3LoLVyd7LExNSUxKJikllZj4/GE7CfFxmJqph86YmZmTEB+nOg5gZm6hJmP6jkxQidKsXDqPnds20LBJKzIzMli7cjEAz6Ni3/wtqoeZvIyKxcTQAD1d3Y/2a87G3ViZm1AuyBeAuKQU0jIyWbnnMH1bN6BuxdJMWryeP9btxM/dGVnZSgCYmFqSGK/ZEU1OTkAuz8XUTL1fJqYWvHr+RKPcycO7cHByx9uvBFfOnVDJte3YnWIlSqMrk3HtykXWrVzE40fqD/rvjlf8mzaZvReyZGpmoZJ5y5rlCziwdweZmRn4+AUyesIvJCTcJlcup7S/N1tCj3Pxxh3KBPqiraXF05eRAMQmJOJgU/Bdad667VhZmBJczF/j8cysbOau306dSsEqBzzhTbtN3h8zMwsS4zVPyCQnaR5nUzMLXr3Ie3CvVLUOVjb2mFtYEfHkAdvXzefx48fMnTu3wD58Lv/Ls9dfAuGACwSFIDw8nPHjx3P+/HliYmKQy+WAcsetLl26ULt2bXx9falXrx6NGjWiTp06avWLF89zxgwNDTExMSEqSrPTlZmZSWamejxgVnbWZ7V/9Y59HDpzgfmThiPT1RxWUBTIFXL8PD3o3bEtAD4ebjyKeMau0CN0/8daVThSM7MYu/kwE1pUx9xQX6PM7RdRrDtznY0D2yD5wrvErdh7lIPnw1g8qo/qHOpoazF9YGcmL99MjX4T0JJKKRfoReXifgVuOvGlcHZ0YMms30hNS+PEmXP8+sdcxo0a/rfaBJi9YDFPnkYwc9rPf5uNrq2bsW3/YZr1/B4tqRRTE2NMjI3UZoi/JC6u7gwcMpqVS+azbuUSpFIpDZq0xMzMAjQ4OdfDH5OYmoaHk91Hda/cfYiDZ6+y6IcBquvmyIUwQDnjv3DLPmYOVy6CLl/Ml21HztChbKcv17k3ZGdncfZkKE3a5P9Lb92+s+r/Hp4+rF+9hMsX/vwidpu2bE/Nuo2IjnrNlvUrmfP7T0zq1gyAqmVLAjD013nk5OaipSXF1MiI6PgEJJKCAwRW7TzAoT8vMn/CUI3305ycXMbOXExScgonLoVRvdMg5BIpw8bP+CJ90sTX9Zqr/u/s5kX54q506dKFiIgIXFw+vMDzL/M/HL/9JRAOuEBQCBo3boyrqytLlizBwcEBuVxOUFAQWVlZlC5dmsePH7N//34OHz5MmzZtqFWrFlu3blXVfz+WViKRqJz495k6dSqTJqkvLhzWqxNaUmm+BZdxiUkaF5K9y7rdoazZuZ/Z44fi5er8Qdm3mBkbvbGnPuMXn/Bxex/C0twMV2dHtTJXJ0dOnL34l3X+VcwN9NCSSvItuIxNTsfK2CCf/LPYJF7GJzNo9T5VmfyNk1t67AJ2DenAlceviEtNp96vq1UyuXIFv+/7k7Wnr6EllRKbqL7gMjYxBav3ZjffZ/W+46wMOcaCEb3wdnFQO+bv7sSGKUNITksnJycXcxMjOk2aTYC7E6YmxkilUuLj3z+PCQUusCwsOjo6ODooF6H6eHlyL/wBR46fUNpLyG/P/DPtAcxZsJjzFy8x45efsLayIjs7W3mdvmcvLjEp36x4YTAzNkZLKkVbS8q8KaNJz8gkNT2dBWu3cOnaLRxsrfPXMbcgMUH9jUlCQrxqxvvtvwnxcZhbWKpkEhPicfPwUn2vUr02VarXJiE+DpmeHhKJhL07N+PlZPfmbzFZJbvz2FlMDPVx+sAMLcCakKOs3HOE+aP74e2S93dXt2Jpfl+znTZ1qtCmdhWycpShTNZmpkS8jlbJJSXG4uKuOXuNsbEZUqlWvoWASYlxmJpb5pO7cv4EWVkZVK7RUKOcmm4jY5KSEsnOzkLnTShQ4jtjav6mXkJ8POYWeWOQmBCnNqYAJqZmmJia4eDojJOzK707t+JFw8poSaXEJyUz4JuW9G3fnNiEROat38HzV1FExyfgaKt5bNfuOcjqXQeY+8NgvF2d8h3PycllzMzFvIqOY8HEoeTkKu/zT2T+5ORkK/ueEKfW7qSEOFw8NGclMjbRPM6JCXH5ZsXfpUQJZWjS06dP/z4HXPBZiMcXgeAjxMbGcu/ePX744Qdq1qyJv78/8fHqP7gmJia0bduWJUuWsGnTJrZt2/ZJMd7vMnr0aBITE9U+Q3p2wtfDlUs38hZQyuVyLt24S5CP5tRoAGt37WfF1r38MXYw/p5uhW6Djo42Pp7uXL5+S83e5Rs3CfTV/ENRGIr5+fDsvdCAZy9fYWdd1AEoytljfwdrzj/MC42QyxWcf/ic4i75Zxbdrc3Y+l1bNg1so/pU93cn2MORTQPbYGdqRKNSvmwZpC5jbWJI56olWdi9MX5ujly8/eAde3Iu3n5AMa/8YUtvWRVyjKW7jzB3aA8C3At+gDI20MfcxIiI19HcefycaqUC0dHRwcfLgyvX82JF5XI5V67dIMDX91OH7IPIFQpyc3Px8fLkyrW8uGG5XM7VazcI8Pvr9hQKBXMWLOb02fP89tNk7O2Ui3Z1dHTw9XTj0o3bavYuX79NUAHpMj+Ejo62mj59PRkWpiZcvHaLpJQUqgSXzlfHxy+Q69cuq5Vdv3oJXz9lijhbO3vMzC24cS0vRVxaWirh9+6oZN7FzNwCfX0Dzpw8io6OLpVLBODn7qxaQJmWkcmhc1eRK6C4t1uBfVm15whLd4QyZ0QfAjzUHTAzYyOCPF1JSE7F2c4aD0c7LM1MuPM4AnsrZVhHeloKD+/fwtO3uCb1aOvo4Obpx+3reQ/Pcrmc29cv4ulbLJ/cxT+PUCq4Kiam5hrl3h8DLS0tlfMNcO3qRXzejJeNakzzxv3tmPr4BeXTl9c+5QOzXKHAz8OFi2/up1pSKVZmply+dY+snByK+XhgbpL/oXjNrlCWbwth5uhBGu+nb53vZ6+imDtuMPbWVjjb2eBsZ4OdgzOOzu6Ymlty61remKW9GWfvAsZCW0cHdy8/tTpyuZxb1y/i5ae5DsCdO8q+WVvnf2j8Ukgkki/y+V9FzIALBB/B3NwcS0tLFi9ejL29PREREYwaNUp1fMaMGdjb21OqVCmkUilbtmzBzs4OMzOzv2RPJpMhk8nUynJ0dWnfqDZT5i3Hz9OVQC93NoYcJiMzk0Y1KgMwac4yrC3M6PeNMl59zc79LNm0i0nf9cTe2orYN7Og+noyDPT1AEhMTiEyJo6Y+AQAIl4q48ktzUxp26Q+P89ehJ+nO/7enmzZe4D0jEwa1KwGwI+zFmBlYU6fb9sBytfZT54/V/4/J4fo2HjCHz9BX08PJ3ulQ9umcX36jp7E6q27+Lpyee6EP2TPwWMM79sd9hd+caeWoQGGXnlOhYG7EyYl/MiKSyTjWeFjf7+tUoJxW44S6GhNkLMNa89cJz0rh2Zl/AAYu/kwNiaGfFevIjIdbbzt1GfsjPWUDsLbcjNtLcwM9dRkdKRSrIwMcLM2p2O9qkxYsgl/dyeCPJxZH3qK9MwsmlRR5s8ev2gD1uamDGzTAICVIcdYuD2Un/p0wN7KnJgE5RsQAz0ZBnrKa+TQhWuYGxthZ2nGg+evmL5uN9XLBFKxmC+JQOtmjfnlj7n4enni5+PFtl0hZGRkUq9WDQCmzpiNlaUlPTt/A0B2djZPnynPY05ODjGxcTx49Bh9PT3VjPeSVesoV6YUttZWpKWnc+TEaa7duMUvk8eTlJzCtD9m4+vtia+PN9t37SUjI4N6tWoC8Mvvs7CytKBHl28LsBebz97sBYs5euIkk38YjYGBPnFvHoANDQxo27guP81Zgp+nOwHeHmzee5CMzEwafl0FgCmzF2NlYU7fjq3f2Mvh8Zt49OycXKJj47n/+CkGeno42dvStnFdpsxajI62NuVLFmNzyEHiE5V59xt+/RXjf/8JC0trOnbpBUDDJq0YP2oQu7dvonRwBc6cPMrDB/foM3AYoHRSGjVtzdaNq7F3cMLGzo4Na5ZjbmFJuYpfqa6TfXu24+cfhJ6+PteuXmL18gV07NILY0MDvqlfnYmL1hHg7sLr2Dgys3Mw0JLSuFp55XWzYC025qYMaKfMn75yz2EWbd3Hj/07YW9tofG6+bbh14yes4rSfp6UDfAm0MOFk1duUr9yWZ49ecD29Qsxt7CidPlqqjb+Oq4vZSrUoFZD5RqIuk07sGTWJNy9/PHwDuTgng1kZqRTpaZ6HvcKVeuyftkMLG3sefnssZrc1Qsn2b99OU4ubjRv/Q3Xr17i1csXyOVydm/fSJngipw+eYRHD+7RZ+Bw1Zg2bNqabaoxtWfjmmVqY3r/7m0eht/BL6A4RsbGvH71go1rlmFn70gxHw/aN6zFpHkrSU3PoGbFsuw9doaEpBQSk1JYOGkYE+euwNrCjP4dlKEdq3cdYPHmPUwe1B0HG0tiE965n+rpkZOTy6g/FnHvcQS/j+iPXC5XybxdqCmRSKjXpB07N6/A1sEZG1sHtq5bhJmFFWUq5I3zzz/0p2yF6tRppLxm6zdtz6KZk3H38sfTJ4ADuzeSmZFBtZrK/PyRr57z54lQSpathJGxKRFPHrB19WyCg4Px8/Pj7+J/OYXgl0A44ALBR5BKpWzcuJFBgwYRFBSEr68vs2fPpnr16gAYGxszbdo0wsPD0dLSIjg4mH379qllNPgS1KpcjvikFJZu2kVsQhLebs78MXaw6lV7ZEysWozq9oPHyc7JYczvC9T0dG/dmB5tlJtjnL50jR/nr1AdGzdzsUqmS4d2JCQls2zjVuLiE/Fyd2X6+JF59qJj1WYvYuLj6TZkrOr7xl0hbNwVQslAf+b8+AOgTFX408jBLF67iVWbd2BvY83Abh2pU60yF5lf6LEwLRNExSNrVN8Dpo8B4Nnq7VzvPrrQeuoV9yY+JYP5hy8Qk5yGr70V87s2wvJNCMrrhJQvGvdbp3xJ4pNSWbg9lNjEZHxcHJgzrAeWb0JQXsclqC1s2nr0LNk5uYyYu0ZNT69mtendXLnOICYhmT827FGGspgZ07ByGXo2raWSrVGlMgmJSaxYt5H4+AQ8Pdz4ddJYVQhKVHQM0nfiXWPj4un1XV4s9+Ydu9m8YzclggL4Y6pyU4+ExER++WMOcXHxGBoa4OHmyq+TfqB0qZIAJCYmsXLtRuLj4/H0cGfq5PGqEJSo6Gik7/QxNi6ePoOGqL5v2b6LLdt3UTwokBm//AjAnn0HABg6epzaOAwfPJBmVcqTkJjM0o07iEtIxNvdhd9/GKr2d/H+ddp12ATV9w27D7Bh9wFKBfoyd/JoalUuz4WrN9kScoiNe0LR1tKiarkyjO7XDW1tbWKio9Tig/0Cghg8fBwb1ixj3aol2Ds6MeKHn3Bxy3sz1axVezIy0lk4ZzqpqSn4BRRj3JTfVJlOAB7cv8OmdSvISE/H0dmF3gOGUv3rupAQRp2KpYlPTmHh1n1ExsVjYmjArOG9sXyzKPt1bLzadbrt8Bmyc3IZOSvvbxugZ4t69G6p3DSqRnAJRndrw8rdh5i+ejsudtbUKl+KDQdOkLj9ID7+JRg6frZaG6NevyA5KUH1vfxXdUhOTGDHhkVvNojxYeiE2ZiaqT+oJiXEYWBozKUzRzgSsllNTktbm6dPHvEg/C5/njyKnb0jXXsPxNDQmE1rl7G+wDHtQGZGBoveGdMfpkxXtVemJ+P8nyfZtG4FmRkZmFtYULJMeVq27YSuTgy1KwXzMiqWJVt2s+/kOSQSCX7uLgzr1p5AL3fmxm5Xu063HzpJdk4Oo2csUutbj1aN6Nm6MVFx8Zy6dA2Ab0f+qCYzf/wQTMoqM7Y0avEtmRnpLJ83VbkRT0AJRkyc9cFxrlClNkmJCWxbv5jE+FhcPXwYMXGmKoRHW1uHW9cuErpH6ZhbWNnQqEFd+vXrx9+JWIT5eUgUf/dKHYFA8NnEXT9V5DZztDUvNPy7uFjimyK1V3PT3/vjpIkcB/citZdoUbT25BKtIrUHoJ+peUOhv4vXekU7pq4JYUVqD+CmYaUitWekU7Tp8pxT7nxc6AsTrl+ySO0F+5r97TZiJ/b4InosJy79Inr+a4gZcIFAIBAIBALBpyFCUD4L4YALBAKBQCAQCD4JEYLyeYjHF4FAIBAIBAKBoAgRM+ACgUAgEAgEgk/iQ5sVCT6OcMAFAoFAIBAIBJ+GCEH5LMTji0AgEAgEAoFAUISIGXCBQCAQCAQCwSchNuL5PIQDLhAIBAKBQCD4JEQWlM9DOOACwX+A7dFVitxmO8PdRWqvqDfGOdK28DtvfinMrl0uUns3nxgVqb3snKLf162HbM3Hhb4gj0zLFak9qVnxIrUH8OClSRFbLFp7O19YflzoCzM0fUrRGvSdVLT2BJ+McMAFAoFAIBAIBJ+GyILyWQgHXCAQCAQCgUDwSYgQlM9DOOACgUAgEAgEgk9DLML8LMToCQQCgUAgEAgERYiYARcIBAKBQCAQfBISiQhB+RyEAy4QCAQCgUAg+DRECMpnIUbv/ylPnjxBIpEQFhb2xXRKJBJ27tz5l/VPnDiRkiVLfrH2/FV27tyJl5cXWlpaDB48+G+11aVLF5o1a/a32hAIBAKBQPDfQsyAC/4Szs7OvHr1Cisrq0LXGTZsGAMHDlR979KlCwkJCSqnvqjo3bs3Xbt2ZdCgQRgbGxep7c9FoVBwZu9srp/ZQmZ6Eg4epanTfiLmNm4F1rl6cj1hJzeQFPcCAEt7byo16IdHYDWVzLXTm7hzcS+Rz26RlZHKwOkXwRA2Hz7D6v0niE1MxtvZnhEdmxHk6aLRzvbj5wk5c5mHz18D4O/mSP9W9dXkYxOTmb05hHM3w0lOS6e0rzsjOjbDxc5aJbPx7A1WnQwjJiUNHztLRjWpQjFn24+Ozf5r4YzaeIgaAe7M/La+RpkpO46z9cJthjesjP1HNapj8VVZPIZ2x7R0EHoONlxq2Y/I3Uc+Wk8BHDCHc8aQ0bYSXn4l6NR7NLYOmsfxLUf2bebAztUkJsTi7ObNNz1G4OETpDqeGB/D5lWzuHXtPBnpqdg5utKoVXfKVqypktm5qA/RL+6SmhSDlpYOckUuKBQ4epShZtsPXzfXTq3n2ul3rhs7byrU64f7m+smPTWBs/vm8PTuaZLiX2FgZIF7UE0q1P8OXT0jzh+Yw62zW8jMSMLerTQ1Wk/AzLpgezfObODGmXfteRFctz9u/lVVMtvnfsuLhxfV6r36qhTejjasOnSOmKQUfJxsGdWmDsXcHDXaOXz1LstCz/AsOp7sXDmuNuZ8W7MCjcsXU5N79CqGmTuPcjk8ghy5HE87K37v1RJMNbdfoVBwcNtczh/bQnpqMm4+pWjRbTzWdgX3+eiuxdy4dJjol4/Q1tXDzbskDdoNxcbBnTMH13MiZDkpidG4uXvSo88gfHz9C9R15tRxNqxdTlTka+wdnOjUtRdlgiuojp89c5LQ/Xt4+OA+KclJzJi9BHdPL/WxfPWCVcsWcuPGLXJysvAI+ApTS3tuXQghIy0JJ6/SNPhmIha2BffpzL5F3L1ykNjXyj45eZaiZsthWNp5AJAQ85y5o2tqrNu81x9Evwwn7NSWL2YPICUxmsNbp/H49p9kZaRiZOFGsaq9cAmoQ7ViUkp5StDTgWcxCvZflBOXUqA5NSr5S6hZUovz9+QcvCLXKNO+mhQvBymZh/1Yv3MPq87fITY1Ax8bM0bWKkOQg+ac5LtvPGLCvgtqZbpaUs4PawNAdq6c+aeuc/rhK54npmAk06G8qx2DqpXAxli/cB34TEQWlM9DzIAL/hJaWlrY2dmhrV34ZzgjIyMsLYt+A4R3SUlJISoqirp16+Lg4PCfc8AvHFrCleNrqN1+It8M34yuTJ8tc7qTk51ZYB1jMzuqNRtGp1Hb+XbkNlx9KrBjYX9iXoarZLKz0nEPqEKFun1UZQfPhzFjwx56Na3NukmD8XF2YMD0pcQlaf51unz3IXUrlGTRqN6sGDcAWwsz+k9fQlRcIqB0UIbOWsmLqDhmfNeF9ZMHY29pTt9pi0nPzALgwPVwpoecoXfNsmwc0Bpfeyv6Lt9LbEraB8flRXwSM/b9SWm3gt3qI7ceceNZJNYmhh/UVRBahgYkXb/HzUGftsHFUVM4ZQKtY+CHX1chk+nz++QBZGcVfM4unD7IphUzaNK2FxN+X4ezmw8zJg8gKSFOJbN01nhev3jKoNEzmDzz/9g76/Cojq8Bv7sb1427KxIswSnuLsWLO6VFiju0WAsUd3d3CxpcggfXEAJx92Sz+/2xsGHJLlIo/fXrfZ/nPsnee2bOzOzsveeeOTOzlcAKNVk8cyQvnj1Qybj4VKBRtzkE1ugKIjCzcMTCzhNdfUN2LfpwvzGR2lOl6VA6DttFx2E7cfGtwN7lPxIfpew3GSmxpKfEUrX5CLqMOkC9jtOIeHCWE1vGcP3kCm6dWU+N1hNpM2gbuvqG7F3S88P6zO2o1PgX2v2yk7ZDduDsU4GDK38kIeqxmlyxCq3pPums6ghwd2LmzuP0afQdW0b1wM/Jln7zt5CQlqFRj7mxIT3rV2bd0K7sGNOLZhVKMmH9fs7fe6qSeRmXRNfZ6/Cws2LF4B/YMaYXvRtWQU9X+/0u5MBKzgVvoGW3Cfw0eQt6+oasmN77g9/z0wdXqVS7PQMmbab3yBXk58tYPr0nV8/sYf/GGdRp2Z9Z85bh7uHF5HHDSU5O0pjPg3t3mP37r9Sq25BZ85ZTvmIVpv82jhfhz1UyOTnZFClanM7demvMIzs7i0ljhwMifvhlLV1HbCY+6glXjq+jfocJdBu9DT09QzbN+XC/efHoCkE1OtJt1DY6Dl6NPF/Gxj97kJuj/A2bWTowaOY5taNq05/Q0zciMfo5oSfW0+CHiV9NH8DeVSNIjH5OmwGL6T1xP65FanN2+y+Uco6jnK+IQ6FyVh3LJ08GHWpIkHyCZeRgCWW8xcQkad98qryfiLdXj1y7w6yTN+hTuTibutbD11ZK/20hJGZka01voqfLsR+bqY5D/ZqqrmXLZNyPTqJXpWJs7lKPWc2r8CIxlUG7zny88F8LkfjrHP9R/rs1/3/AkSNHqFKlClKpFCsrKxo3bszTp0+1yt+9e5fGjRtjZmaGqakp3333nUo+NDSUOnXqYG1tjbm5OdWqVeP69eta83o/BCUkJASRSMSJEycICgrCyMiISpUq8fDhQ1Wad0NQJk6cyNq1a9m7dy8ikQiRSERISAg1a9ZkwIABarri4uLQ09PjxImPexuTkpLo3LkzFhYWGBkZ0aBBAx4/fqwq41uDu2bNmiqdHyIhIYH27dvj5OSEkZERAQEBbN68WU1mx44dBAQEYGhoiJWVFbVr1yYjQ/3hP3PmTBwcHLCysuLHH38kLy/vo3V5H4VCwbWT66hQvx8+JWtj6+xPwy6/k54Sy+Nbx7Wm8y5RE8/i1bCwdcfSzoPvmg1GT9+I189vqmSCanalfL3eOHiUVJ3bcOQMLaqVp2nVsng62TG6a0sM9HTZe+aKBi0wpW8H2tSqhJ+bEx6Otozr0RqFXMGVe8r2j4iJJ+xpBKO6tKSYpwvuDraM6tKSnNw8jly8AcD6s7doWbYozYOK4GVnydjm1TDQ02HP1QcadQLky+WM3nqcfrXL4mypeUe9mJR0pu87y9S2ddD9i3GLccFneDRhDjF7tbf1+yiAM+ZQJxmKZ4KLuw89B04iOTGO65dDtKYL3reBqnVa8F2tpji5eNK572j09A04e2KvSubJw9vUatQWT9/i2No706R1T4yMTHnx9L5KJrBmVxzcS3Lvyh4qNhhA1ebDiH/9kDodppCeEsuT29rr4hVQE89iyn5jYetBlSaD0dU3Iir8JgDWjr407Tkfr4CaSG1ccfWrSIWGg3l25yQ3T6+lbN2+eAbUwtrRjzodZpCRGsuzMO36PIrXxL1oNaQ2Sn0VGyn1Rb+4pSano2eIsZmN6th+7jotK5eiecWSeDnYMLZ9Q2WfuXBLo56yvm7UKuWPp4M1LjYWdKxZDh8nW248famSmb8vhCrFvBjcshZFXOxxsbGgeglfrEw1v7wpFArOHllHreZ9KB5UC0dXP9r1m05qcix3r2m/b/UasYyy1Vpg7+yDo5s/bftMJTkhilP7V1C+RmvKVmuJi6s7fQcMQd/AgBNHD2vM58C+nZQOLEeLVu1wcXWjQ6fueHr5cOjAbpVM9Zp1aduhCyVLBWrM48G9O8TFRvPzkBHYOvth4+RLVkYyCoUcPQNj7Jz9adr9d9KSY3l4Q/v32GHQSkpWbomNkw92Lv406Tad1MTXRL24C4BYLMHE3EbteHjjOP6B9bl2ejNVGvXDr1Ttr6YPIPLpDYJq/oCTRwksbFwIqNYXXQNTvisp5exdOY9eKYhNhr2X5Jgagr/zhz27ujrQoqKEg1fkZOVqlrGTQgV/MfsvKz3j605cpGVJL5qV8MTL2pwx9cpioKvDnrBn2hWJwNrEUHVYGRuoLpnq67GkXQ3qFnHF3cqMEk7WjKwTyP3oJKJSNb98CvxvIRjg/2IyMjIYMmQIV69e5cSJE4jFYlq0aIFcXngo7NWrV1StWhV9fX1OnjzJtWvX6N69OzKZDIC0tDS6dOnCuXPnuHTpEj4+PjRs2JC0tLTPKtOYMWOYNWsWV69eRUdHh+7du2uUGzp0KG3atKF+/fpERUURFRVFpUqV6NmzJ5s2bSInp8DjsWHDBpycnKhZs+ZH9Xft2pWrV6+yb98+Ll68iEKhoGHDhuTl5am9EOzcuVOl80NkZ2cTGBjIwYMHuXPnDr1796ZTp05cuaI0QqOiomjfvj3du3fn/v37hISE0LJlSxSKAq/IqVOnePr0KadOnWLt2rWsWbOGNWvWfLQu75OSEElGahxu/gVl1jc0xcG9JK+f3fikPOTyfO5fPUhebiaOnqW1yuXL8ngQ/opyxXxU58RiMeWK+RD25MUn6crOyUWWn4+ZiREAuXnKvvauF1EsFqOnq8PNx8/Jk+Vz/3UcFbyd37kuooKXM7cjorXqWXriKhbGhrQsW1RLnRWM2XaCrlVL4W1n+Ull/1ok6kCaDvhmFZwzMjbF06c4Tx/e1phGlpfHi6cPKFqyYMtzsVhM0RLlePowTHXO268EV84dJT0tBblczuWzweTl5eBXPEgtv7f9xs41gPuh+3H0KI2RiSX27iWJev7p/ebBtYPIcjNxdNfeb3Kz09DVNyIzLR4XX/V+audWgug3xvun6Ht0/SB5OZk4uJdSu/bw2n6Wj63AxhlNOLfvd+5HRFHBz0N1XSwWUcHfg9vPIz+qR6FQcPnBc8JjEgn0dn2jW8HZO09ws7Wk7/zNVB/+Jx1/X83Jmw+15pMYF0lacjw+xSqqzhkameLqVYIXjz+tzgDZmcr7bVx0OD7FC8JHxGIxJUqV4eGDuxrTPXxwr5BhXapMWR5pkdfEW6eArq4uoAwVyUhNAJGYl0+uAWBgZIqTZ0kiP/F+A5CTpayTobHm2J2oF3eIeXkf74CqpKfE4VGkoN98LX3OXqW5F3pY+UIhlxMedggHexukZoY8jy64V+fkwasEcLL+sAHeIEjM49cKnsdo9n7rSKBFJQmHr8rJyIbc3Fzuv3xNebeCUDqxSER5dztuv0rQqicrV0aDxfuov2gvg3ae5WlcygfLlZaThwilcf5NEIu+zvEfRYgB/xfTqlUrtc+rVq3CxsaGe/fuYWJionZt4cKFmJubs2XLFtUN1tfXV3X9feN22bJlSKVSTp8+TePGjT+5TFOmTKFaNWWM6MiRI2nUqBHZ2dkYGBioyZmYmGBoaEhOTg729vaq8y1btmTAgAHs3buXNm2UsW5r1qyha9euH13y6PHjx+zbt4/z58+rDOuNGzfi4uLCnj17aN26Nba2tgBYWlqq6dWGk5MTQ4cOVX3+6aefCA4OZtu2bZQrV46oqChkMhktW7bEzc0NgIAA9VhSCwsLFixYgEQiwd/fn0aNGnHixAl69er1Uf3vkpESB4CxmXoYj7GZFRmp8R9MG/fqIRtntkOWl4OevhHNey/E2sFbq3xWRjL5cjlW5ur9yMrchPCo2E8q77xth7CWmlG+qNKId3ewxd5KyoLthxnTrRWG+npsDD5LTGIK8clpJGVmky9XYPXGYFfpNDXkeZzmoffr4VHsvnqfbT+30VqO1WeuIxGL6FCpxCeV+2uSKlH+Nc1XP28mtSQlWfODNy0tGbk8HzNzq/fSWBH1Klz1ud+wGSyeOZKfO9dEIpGgp2/AgJEzsXNwUUt34eBcALbP64SDeyma910CgLHpJ/Sb1w/ZMqsdMpmy3zTpuRArLf0mKz2R0KOL8SxWgwdX92Jkol5+IxNrMtI+rC/+9UN2zG2PTJaDrp4RjbovwNK+QJ9vmcaYWjpibGZLQtQjzu6doewz74UVWZka8zxGu2GTlpVNndHzyMvLRywWMbpdfSoWUcYMJ6ZlkJmTy6qjFxnQpBqDmtfg/L1nDFm+gxUDf4CyGvJLVtbL1Fx9ToyJuZXq2seQy+XsWz8dZ8/iRD67g8l7eUmlFrx6GaExbXJSIlKpRSH5pCTNvxtN+PoXxcDAkHWrl1GszjiS49+MCCjkpL+598CbfpPyaXVSyOUc3TIVZ+8y2Dr5apS5eW4H1g5emEqVxmmh+9tX0Neqzxx2LR3MrEHlEUt0kOgY0GXwCgDejwDJyFZgov64UqOYqwgHCxErgvO1ytQtIyYyXsGjV0oDPSkpiXy5Aktj9YytjAwIT0jVmIebpRkTGpbD10ZKWk4e6688oOuG4+zo0QA7M6NC8jmyfOaF3KJ+UTdM9HW1V+ArIvoPh498DQQD/F/M48ePGT9+PJcvXyY+Pl7l+Y6IiKBoUXVv4M2bN/nuu+9Uxvf7xMTEMHbsWEJCQoiNjSU/P5/MzEwiIjTf8LVRokSBkePgoIzHjY2NxdX1wxPO3mJgYECnTp1YtWoVbdq04fr169y5c4d9+/Z9NO39+/fR0dGhfPnyqnNWVlb4+flx//79D6TUTn5+PlOnTmXbtm28evWK3NxccnJyMDJS3gBLlixJrVq1CAgIoF69etStW5fvv/8eC4uCh2GxYsWQSCSqzw4ODoSFhRXS9ZacnBxycnI4fPgw06ZNA0CWD636L/tLdQCwtPOgy6g95GSn8eh6MIfWjaDd4A0fNMK/hNUHTnL08k2WjeyLvp6yz+nqSJj5Uxcmr9pGjf4TkIjFlCvmTeUS/mojBp9KRk4uY7YdZ0LL6lgYa550dO9VLBvP32bLT22+yZq110xg+zt2U0/tjvsvZvemxWRmpDF00mJMTKXcuBLC4j9G0rBlVw7sWAmAXC6iYZc/eHB1Pw27zubmmQ0cWTeC5n2XfpIOS1sPfhi5h9ysNB7dDCZ4wwja/LxBzQi/H7qPY1vGk/8mTtevbDMeXN2rLcsPYmHrQbuhu8nNTuPJrWCObRpJqwHrVUZ48UptVbLWjn6IJDoErx1MTPLnjdQZ6+uzbVRPMnNyufwwnFk7j+NsbUFZXzfkb/pijRK+dKqlvJf4u9hz61kk289dp1ZZuH5+PztXTlTl133Ykr9U33fZveZXoiMf02ngHOaN0/5C+Xdx83ooebI8Du7bxYG9O1WxuTZOvn/5t3N40yTiXj+my/BNha6FXdrHofXjycvNUk4Qzpd9Ufk/pC9kz1yqVCjB3m3LABHyfBl9+w2Abp93TzUzgrqBYjaeyidf85xLfJ1EuNuJWH5Eu4H+KZR0sqakk7Xa51YrDrHj5hN+rKruTMjLlzN873kUwOi6QQj8OxAM8H8xTZo0wc3NjeXLl+Po6IhcLqd48eLk5hYOSjM0/PCs6C5dupCQkMDcuXNxc3NDX1+fihUraszrQ7xr4L+9aWsKifkQPXv2pFSpUkRGRrJ69Wpq1qyp8i5/a/744w/mzp3LnDlzCAgIwNjYmEGDBqnaRSKRcOzYMS5cuMDRo0eZP38+Y8aM4fLly3h4KIfF33/pEYlEH2yTadOmMWnSJEQikWqSa83mP2FoojTqM1ITMDG3VclnpCZg6+z/wXpIdPSwsFW2ob1rcaJehHHt1DrqdZisUd7QWIpELCYhRX3CZUJKOtbmH564uu5QCGsOnmLx8N74uDqqXSvi4czmX4eQlpmFTJaPhZkJnSfNo6iHMxZGBkjEokITLhPSsrA2LezxeZmQyuukNH5ed0h17q3xVGbMYvYO6cD151EkZmRRf8Y6lUy+XMGsQxcwd4FxLwtl+0UUywDXdzxq+W/sljQJmL3zPE5NTsTVQ7NH0NRUilgsITVF3YObmpyAuVT5QI6NesmJQ1v5de42nFy9AHD18OXRvRvEvI5g4mzlPIVH0Ubky5R91dLOk0Zd/2T5+GpEhd8kIy0BW6dP6Dc2yn5j51qcmBdhXD+9jjrtCvqNi095LGw90NHRo0abX1XnM9MTMH6nn2amx2PjqH0Vj7f6pG/02boUJybiDjfPrKNmG8391NVHOdL1+HUsdcsU5J2QloH1BybbisUiXG2V4Uj+LvY8j45nZfAFyvq6YWFihI5YjKeDugfaw96am2/ixIuWqYmrV4ERJHvTxmkp8ZhZFKzok56SgKPbh9sYYPea37h/4zT9x63DzNIWsVhC+nte3+TkJKQWmkOopBaWhSZoJicnqTkCPka58pXxXah03IQ+00OhkLNmejvSkmOxsCkYVclIS8DO5eN1OrJpMo9vh9B52AbMLAuPNvqWqklaSiyndv1J5+Eb0dNX/sYzUhMwlb5zf/tCfYmxEVw9tYEKtQ5y6IbSERIZI0ahp/x+jQ0g/Z3frLGBiGgtEysdLESYGIjoVa/AoSIWi3CzhbI+EqZuy8fdToSlCQxvVSAjk1kgkUhI9asE6Y9U5xMys7HS4jx4H12JGD87C14mq9+T8/LljNh7nqiUTJa1r/HNvN/Afzp85GsgGOD/UhISEnj48CHLly/nu+++A+DcuXNa5UuUKMHatWvJy8vT6AU/f/48ixYtomHDhgC8fPmS+PhPG/b7q+jp6ZGfX9hLEBAQQFBQEMuXL2fTpk0sWLDgk/IrUqQIMpmMy5cvq0JQ3rbT+yMCn8r58+dp1qwZP/zwA6B8mXj06JFafiKRiMqVK1O5cmXGjx+Pm5sbu3fvZsiQIX9J56hRowql3XheHx1dPYzNbIh4eBE7F6WxkZOVTlT4LUpVbf95ShRylWGmCYmOLv7uToTee0KNQOXSd3K5nNB7T2hTW3vc/NqDp1i5/yQLh/akqIeLVjlTI+VDJyI6jvvPI+nXsh66OhKKONpw+ekrahbzfKNTweWnkbSrGFAoDw8bKTsGtlU7t/DYFTJychneuAr25iY0Lu1H+XdiygH6rT5A49K+2G349LjST8VAAQbvOPIUgKkMHhuC05vmzspM59njO9So/73GPHR0dXHz8uf+7VDKlK8BKNv+flgoNRsoPaO5uUqL4f0hYLFYjFgiUYWhxOWboFAoVP3Gt3R9ALIzUogOv0XJKp/XbxQKOfl5Bf0mJyud/St/Rt/AhBb9loHYAIVCgZGpDS8fXcTGSdlPc7PTiXlxm4BKX7efJsYoJ5FHxBSsDiOXK7j8MJx21T7dEyhXKMh7Mx9GV0dCMTcHwt8LYXkRm4CDpTKu2MDQGAPDAgNfoVBgKrXmyd1LOLkr65ydmU7E09tUrN1Oe/UUCvasncKdq8fpO3YNlrbKvurkUZQndy9RPKj2mzrJCbt5nQaNW2jMx8+/KLdvXadJ84I+devGNXz9i31yGxgaGWH4ZmTPCUcUCgUGxuZkZyTjW1IZopiTlc6rZ7cIrKb9e1QoFARv/pWHN47Raeh6NeP9XfQNTHhy+zR+pWrh5FkShUKBibkN4Q8uYu9acH/7Un2yXOUEDJlcRNobQzspHV68jCIxKQ0PeyNikpUGt54OOFnBtceaDfDnMQqWHFL31DctLyE+VcGF+3IUCjh/T86N99ZC6NtQj6JuTlw4sIvvqr+5nyoUXAmPoW2gD59CvlzOk7hkKnsWODXeGt8RSeksa18DqaH+J+X1tRAJG/F8EYIB/i/FwsICKysrli1bhoODAxEREYwcOVKr/IABA5g/fz7t2rVj1KhRmJubc+nSJcqVK4efnx8+Pj6sX7+eoKAgUlNTGTZs2Ee95l+Ku7s7wcHBPHz4ECsrK8zNzVUvBz179mTAgAEYGxvTooXmh877+Pj40KxZM3r16sXSpUsxNTVl5MiRODk50axZs79URh8fH3bs2MGFCxewsLBg9uzZxMTEqAzwy5cvc+LECerWrYutrS2XL18mLi6OIkU+7On7EPr6+ujrq99Idd/MqQms2ZmLhxdjYeuGuZUz5/bPxcTcFp+StVWyW+d2wadkHcpUV740nNkzC49iVTGzdCA3O4P7oQeIeHyF1gNWqtKkp8SRkRpPcpwy5Cj+9SNqBhZnye5jFPFwprinC5uCz5KVk0vT75RBsOOXbsbGwpyf2ihf2tYcPMWSXcFM6dsBB2sL4pOVsY1GBvoYGSjrc+zKLSxMTbC3kvIkMoqZG/dRPbAYFQP84PVzOn1XknHbT1LMyYbiLrZsOH+brFwZzQOVHrAx245ja2bMwPoV0dfVwcdePV7U1EDZUG/PS3UkSN+Lu9QVi7E2McL2MxeikRgbYexdEEpl5OGMWUl/chNTyH4ZpTGNCKiaAsekYJ0H7i8es3vTYqSWNpQpX10l98f4vpSpUINaDZUvFPWa/sCKeRNw9yqCh09xjh3YRE52FlVqKZchs3dyx9bBhXVLptCmyyBMTM25fiWEe7cuM3DMHACePgrjRuhTnLwCKVquORcPz+fOhe2YSO25fX4LJua2eJco6Dfb53fBu0QdSldT9puz+2bhUbQqphYO5OZk8ODqAV4+uUKr/sp+k5OVzs5F3ZHlZtGg8x/kZqeTJ1OGgpSs+gNXjy1BauOOmaUTlw7Pw9jMFs+AAn27F3XFM6A2Jb9T6rtwYBZuRd7oy87g0fUDRD69QrM+yljdlPgIHl4/gHuRqhgYS4l//Yize6bhYWfFyVsP2XfpNsXdHNlw6gpZOXk0r6j0UI9Zsw9bqSkDmytfZlYeOU9RNwdcbCzIzcvn7N0nHLx8hzHt66vK1qVOBYav3E2gtytlfd04f+8pZ8Ies2JQJzS5JUQiEd/V78yJPUuxtnfD0saZ4B3zMJPaUiywYM3rpVO7UTyoNpXrdlS2wZpfuXHhIF2HLEDfwJjUZGWsdeU6HdixcgLOHsXRL+XIgb07yM7OplYdZRnnzpqKpZUNnboq55E0btqKsSMHsXfXNgLLVuDcmZM8ffKQfj/9otKdlpZKfGwsiYnKGrx6pfytSy0ssbBUetZPHDuMs4sbidkyXj27gSw3B4mOHgnRz8mX5RGydy6mUlv8Shd8jxtmdcGvdB3K1lR+j0c2TeLO5QO0+XERegbGqvhxfUNTdPUKfouJsS+IeBxK+5+XqdqwXK3OnDu4GEtbN6TWzl9Fn5W9Jxa2bhxcP57arUdgaCzl3oWjRD29SMi1GBpU9SIxTU5yuoLqJcSkZcGDyAID/IcaYh5EKrj6WEGuDN6fB5krg6zcgvMZ2YXjygE6VS/H2LW7KGJlTHEHSzZdfURWnoxmAUpnw9gDl7A1NeTnasqVqJaev0MJRytcLExJy85l7ZUHRKVm0qKkUj4vX86wPed5EJPI3O+rIpcriE9XvmyYG36jSZjCVvRfhGCA/0sRi8Vs2bKFn3/+meLFi+Pn58e8efOoXr26RnkrKytOnjzJsGHDqFatGhKJhFKlSlG5cmUAVq5cSe/evSlTpgwuLi5MnTpVbfLh30GvXr0ICQkhKCiI9PR0Tp06pSp/+/btGTRoEO3bty80gfNDrF69moEDB9K4cWNyc3OpWrUqhw4d0hr7/jHGjh3Ls2fPqFevHkZGRvTu3ZvmzZuTkqK825qZmXHmzBnmzJlDamoqbm5uzJo1iwYNNG8E86WUq9OLvJwsgjeNJyczFSevQL4fsAId3QKDPTnuJVnpBcPRmWkJHFo7gozUWPQNTLF28qP1gJW4F6mskrl1dgsXDhWMNGyerTQQGlQszZJdwSSkpOHr6sj8oT2xehOCEp2YrLYRw46TF8mT5TN8wXq1MvduXoc+LeoCEJ+cxp+b9ytDWaSmNKocSK9mBQ/X+iV8SErPZtHxK8SnZeLnYM2ibo2xehOCEp2cjvgfuumbBxan4omCuhWdORqAl+t2cbvHKK3paqZArlgZG541rDM+RUoxZNx8dPUKvrPY6EjSUpNVn8tVqUtaahJ7tiwhJSkBFw9fBo+fj7lU+WKho6PL4LHz2LF+PvOmDiY7OxNbBxd6/DyJEoFVANDXN+DJraNcPDSf3JwMdHQNSE16jUIhR5abTcv+6v0mJf4lWRnq/ebIemW/0TMwxcbRj1b9V+Lmr+w3sZF3iQ5XLvW3anIdtTp3HnsMWV4Op7aNJycrFQePQJr2Wf6evgiy39GXlZ7IsY0jyEiNQ9/QFCsHP5r1WYGrn1KfWKLLy0cXuHV6LXm5WZhIHfAuUZf5jS3Yf/k2iw6cJj41Az9nOxYNaIeVmXICcXRSCuJ3+mlWbh5TtxwhJjkNfV0dPOysmNK1GfWDCka1apXyZ2z7BqwKvsCM7Udxt7NkVq9WlPF24aiW77l64x7k5mSxY+UEsjPTcPctQ88Ry9S+54SYl2SkFdT54vEtACz5rYtaXm16T6Fxh2EE75jPzpXxeHh6MX7yDFUISlxcrNroh3/R4gweNpZN61exYe0KHJycGDn2V9zcC1aHCb10gflzZqg+z5qhDBdq26EL7Tp2BeBV5Es2rFlOalo6UisnqjUbSE5WGgfXjyc7MxUXn0DaD1TvN0lxL8l8535zLUQZ/rR+Zie1OjXpOo2SlVuqPt88txMzC3s8i1ZRnatYvxe5uVlfVZ9ER5f2Py/j5K5ZbJvfl9ycTIwtXKjUYip349yxfqSgUVkxBnoQEadgU4h6fLeFiQgjfYDPn6fyLvUDi5MQ8YzF58JIyMjGz1bKwjbVVUsLRqdmqEV0pGXnMvlIKAkZ2ZgZ6FHEzoI1P9TGy1o5ChOXnsnpJ8pNq9qtDlbTtbx9Dary/5uFCxfyxx9/EB0dTcmSJZk/fz7lypXTKLtmzRq6deumdk5fX5/s7II3JYVCwYQJE1i+fDnJyclUrlyZxYsX4+PzaSMUfwWR4q/MfhIQ+JsJDw/Hy8uL0NBQypQp808X5x9nxceXQP/qtDP++MTXr4nO6+cfF/qKnGi76JvqA5DeuvZN9d2JNPm40FckT/btHyc99dd/XOgrctS84zfV5y2N+ab6AK69dvy40L+Y8FdfPuHzc/kl69ePC31FjLp/3oZhf4XMNV9Hh1HXCZ8lv3XrVjp37sySJUsoX748c+bMYfv27Tx8+FC10tm7rFmzhoEDB6rtSyISibCzK1gWcsaMGUybNo21a9fi4eHBuHHjCAsL4969e5/lBPwchAAegf8p8vLyiI6OZuzYsVSoUEEwvgUEBAQEBP4XEYm+zvGZzJ49m169etGtWzeKFi3KkiVLMDIyYtWqVR8oqgh7e3vV8a7xrVAomDNnDmPHjqVZs2aUKFGCdevW8fr1a/bs2fNXWuaTEAxwgf8pzp8/j4ODA6GhoSxZor6019mzZzExMdF6/BUaNGigNb+pU6d+jSoJCAgICAgIaCEnJ4fU1FS1493N+N4lNzeXa9euUbt2QeiiWCymdu3aXLx4UauO9PR03NzccHFxoVmzZty9W7BJ1fPnz4mOjlbL09zcnPLly38wzy9FiAEX+J+ievXqWteEDgoK4ubNm19V34oVK8jKytJ4zdLy2+6aKCAgICAg8G/ha62C8nbp3XeZMGECEydOLCQbHx9Pfn6+mgcbwM7OjgcPHmjM38/Pj1WrVlGiRAlSUlKYOXMmlSpV4u7duzg7OxMdHa3K4/083177OxAMcIF/DYaGhnh7f92NY5ycnL5qfgICAgICAv8JvtJOmJqW3n1/JbAvoWLFilSsWFH1uVKlShQpUoSlS5fy66/fNjb/XQQDXEBAQEBAQEBA4B9B09K72rC2tkYikRAToz45OSYmBnv7whs+aUJXV5fSpUvz5MkTAFW6mJgY1Q7ebz+XKlXqk/L8Kwgx4AICAgICAgICAp+HWPR1js9AT0+PwMBATpwoWBpMLpdz4sQJNS/3h8jPzycsLExlbHt4eGBvb6+WZ2pqKpcvX/7kPP8KggdcQEBAQEBAQEDgs3h/J95vxZAhQ+jSpQtBQUGUK1eOOXPmkJGRoVrru3Pnzjg5OTFt2jQAJk+eTIUKFfD29iY5OZk//viDFy9e0LNnzzf1EDFo0CB+++03fHx8VMsQOjo60rx587+tHoIBLiAgICAgICAg8K+gbdu2xMXFMX78eKKjoylVqhRHjhxRTaKMiIhA/M4E0aSkJHr16kV0dDQWFhYEBgZy4cIF1Y7WAMOHDycjI4PevXuTnJxMlSpVOHLkyN+2BjgIG/EICPwrSAs99M113jet/HGhr0jR5NPfVN8ts5rfVB9AcsnAb6qv0tVl31SfXPLXdpz9EoKT/74hYk00Mvq2u2Ll6/59BoA2Eoxcvqk+EfKPC31FnB9/+53NDlt2+7jQV6RFOcnfriN76+9fJR+DtsO/Sj7/NgQPuICAgICAgICAwOfxD4Wg/H9BMMAFBAQEBAQEBAQ+j7+wi6VAAcLri4CAgICAgICAgMA3RPCACwgICAgICAgIfB5faSfM/yqCAS4gICAgICAgIPB5CDHgX4TQegICGlizZg1SqfSfLoaAgICAgIDA/0MED7iAgAbatm1Lw4YN/+liFGLbsXOsP3iShJQ0fFwdGda5JcW93DTK7j51kYNnQ3kaGQ1AEQ9n+rdppCYf9MNgjWmNDPTJk4Ovfwm69huBvaPrB8t17OB2Du3ZQEpSAi7uPnTuPRQv32Kq61PG9OXBnetqaWrWa0G3/qNUnwO7DCuUr7OtFVP6dqC4l2b9u0Iuc/D8tYI6ujvx4/cN1OQTUtKYt+0gl+48Ji0zi9K+7rjYWXP0+nQyM9Lx9i9J5z6jsPtIHU8c2saRPetISVbWsWPP4Xj6FlddT0mKZ9vaudy9dZnsrAzsndxo/H0PgirWUsmstINX+pAuBkM5+GZB40Qwzy+sz7JKEJ6/9MC8THEMHG252qo/Mfv+2vJpO46cYsP+oyQmp+Dt5swv3dtTzNtDo+ye42c5fOYiz16+BsDP05V+7VuoyZ+6fJ3dx07z4FkEqekZrPt9HL7u2peu23n4BBv3Hlbqd3dlSI+OFPXx1Ci799hpjpw+z7OIV2/0u9O3Yyut8m9RKBSE7J3P9TPbyc5MxcW7DI06TcDKzl1rmrMHl/Lg+jHio56ho2eAi1dparf+BWt7dV0vn9zg5O45vHp2m5kSBT5uTlQvW4qth0+RkJKKj6sTQ7u2oZi3Zl17Tpzn4NnLPItUtqm/hyv92zbVKj9txWZ2nzjH4E6taNNM831ox+GTbNx35M136sKQHh0o9oE2PXz6Is9evm1TN/p2aKkm/25+7h5e9On3I35+/lrb7tzZM2xYv4aYmBgcHZ3o2r0nZcuWU13/c/YfnDh+TC1NmcAgJv86FYAD+/exbOki5HL1JQi7dO1GmzZtC+k7e/YMG9avU+nr1r27mj5Qrv+8evVK7oSFkZ+fj6urK6PHjMPW1lYlc//+PSYu2UrYiyg13b5OtoxsVYsANwc0cfzWI1Yeu8TL+GTy8uW42UjpVKMsTcoW3OcSUjOYs/80Fx+Ek5aVQxkvZ0a2qo2brYVKRqFQcGzXAkJPbScrMw1339I07zoea3t3bU3NqX3LuHv1OLFRz9DVNcDNpxQN2v2CjUPBb/LyyW3cvHiQ1+H3yMnOoFZoKGZmZlrz/Cp85i6WAuoIHnABAQ0YGhqq3bT/Fzh66QZ/btxDrxb12PDbL/i6OvLTjKUkpqRplL92/wn1KpZhyZgfWT1xIHaWFgyYsYTYxGSVzJEFk9SOWmVLAjCwQxMm/rEKfQNDfp/4M7m5OVrLdensMTatmkOLtj35dfY6XD18+H3iz6QkJ6rJVa/bnPlrDqmOdl1/KpRXqxoV0JVIGNK+CctG9aWMnycDZq4gMTVdcx0fPKVehVIsHdmH1eMGYGcp5ceZy4lNTAGUD7tf5q7hVWwiswd2ZdPkQaRlZrPj5EXadx/K2Blr0dc3ZNbkAeR9oI5Xzh1l6+rZNG3bmwmzNuLi7svsyQNIfaeOK+aOJ/rVC34eNZvJc7YSWKEmi2eO5MWzByoZ72zoHAMjI6FrDCTowlo7zTolxkak3n7InZ8naS3Xp3DsQihz122n5/eNWTtjLD5uLgyaMpfElFSN8tfvPaRO5XIsnPALy38bgZ2VJQN/m0NsYpJKJjsnh5L+PvzYseVH9R8/f5l5a7bQvU0zVv8xEW83Fwb/Okur/ht3H1C7SgXmTxrB0qljsbW2ZNDkmcQlJGmUf8v5wyu4fHw9jTpNpOeYbejpG7Jhdk9kedq/1xePQilbowM9xmyl0y+rkOfL2DCrJ7k5mSqZl09usHFOL7yKVabn2G2s+W04fu4uLNy8h56tGrJu6kh83Jz5efqCD/wWH1GvUhCLxw5k5aSh2FlZ8NO0BWq/xbecCr3JnSfPsbEw11ru4+evMG/tVnq0bsqa3yfg4+7C4N/+1P6d3n1InSrlWDBxGMumjsbO2pJBv84m9k2bvp+fh6cn48eNJjlZc5vfv3eX32dMpU7d+sybv5gKFSsx5deJhIc/V5MLDAxi/YYtqmP4cOUL95nTIaxYvhRjYxMaN25K9Ro1MDIyYsHCxTRt2qyQvnv37vH7jOnUrVuPefMXUrFiRX77dTLh4eEqmaio1wwf9gsuzi5Mn/E7Cxctpl37Dujp6RWU+/49xo8bS0U/d/o3qIRcoaBZ+eKsH9wRP0cb+i3eTkJahsY6mxsZ0LNOBdYN6siOEV1oVi6ACZsOc/6+ss4KhYJBK3cTmZDCnJ4t2DqsCw6WZvRZtI3MnFxVPqcPruTC0Q007zaBHyduQVffkFW/9/7g/ef5g6tUqN2eHydspseIFeTny1g5oye52QX9NC83G78SVajRtLfWfL46IvHXOf6j/HdrLvBVqF69Oj/99BODBg3CwsICOzs7li9frtoW1tTUFG9vbw4fPgxAfn4+PXr0wMPDA0NDQ/z8/Jg7d65anjKZjJ9//hmpVIqVlRUjRoygS5cualvCVq9enZ9//pnhw4djaWmJvb09EydOVMsnOTmZnj17YmNjg5mZGTVr1uTWrVuq67du3aJGjRqYmppiZmZGYGAgV69eBQqHoHTt2rXQlrSDBg2ievXqf7ktPpeNh0NoXqMiTauVx9PJnlHdWmOgr8e+05c1yv/WvxOt61TBz80Jd0c7xvZqi0Ku4MrdxyoZa6mZ6rAyN+Xsjbs421rTqmZlXN196DNoIsmJ8Vy7pH2TnMN7N1G9bnOq1m6Ck6sn3fqNRF/fgDPH96vJ6esbILWwVh2GRiaF8rpy7wktqpenY/2qBPp7Ma779xjo6bL3zBWNuqf07UCbWpXwc3PCw9GWcT1aK+t4T1nHiJh4wp5GMKpLS4p5uuBmb0N0QjIGenpkZ2Xg4u5Dz4GTSE6M4/rlEK11DN63gap1WvBdraY4uXjSue9o9PQNOHtir0rmycPb1GrUFk/f4tjaO9OkdU+MjEx58fS+SqZaCrjngKUMPHKgZjK80AcNDnDigs/waMIcYvYe11quT2HzgWM0q1WFxjUq4+HsyIheHTHQ0+PAqfMa5Sf/3JPv61XH190FdycHRvftjFyh4GpYwYtEg6oV6fF9Y8oGFPmo/i37j9K0dlUa1/wODxcnhvfpjL6+HgdOnNUoP3FQH1rVr4mvhyvuzg6M6tftjf57WnUoFAouH19H1cZ98S9dCzsXP5r3mEFaciwPrmtvvx8Gr6BUlZbYOvlg7+JPsx7TSEl8TVT4XZVM8NbplKvViSoNe2Pr5IObox13Hj+nec3KNKleEU9nB0b2aIeBnh77Qy5q1PPrgG58X7fqmza1Z0zvjigUCkLvPFSTi01MZtaa7Uz+sSs6Eu0bqWxWtWkVPFwcGd67k7JNT57TKD9pUO+CNnVyYFTfrm/a9L7G/H4cMBB9fX2OHQ3WmN++vXsIDCxLq+/b4OLqSqfOXfHy8ubA/n1qcrq6ulhYWqoOE1NTAPbs3km9+g0wNDTEwdGRX34ZhqGhIaGhVzTuPKjUF0Sr71vj6upKp85dCulbt3YtQUFl6d6jJ15e3jg4OFKhQkW1+/jyZcto2rQZPeqU5+jNR7SqVJKxberi72zH2DZ1MdDTZc+lOxrrXNbHlVolffG0t8LF2oKO1QPxcbThxjPlqMKLuCRuh0cxpnUdirs54G5nydjWdcnOk3HkuvK3o1AoOH9kHTWb9qFYYC0cXP1o22c6qcmx3LumfXSr+/BlBFVtgZ2zD45u/rTuPZXkhCgiwwt+E1Xqd6Z6k164eJfUmo/A/xaCAS7wxaxduxZra2uuXLnCTz/9RL9+/WjdujWVKlXi+vXr1K1bl06dOpGZmYlcLsfZ2Znt27dz7949xo8fz+jRo9m2bZsqvxkzZrBx40ZWr17N+fPnSU1NZc+ePRr1Ghsbc/nyZX7//XcmT57MsWMFQ56tW7cmNjaWw4cPc+3aNcqUKUOtWrVITFR6LTt27IizszOhoaFcu3aNkSNHoqv7ZTv5fU5bfA55MhkPnkdSvpiv6pxYLKZcMR9uP3nxSXlk5+Qiy5djbmKk8frdZxHkymQ0q14wrGtkbIKnbzGePAzTmEaWl0f40wcUK1lWrVzFSpYtlObC6SP0+6EOI39qx9Z1C8nJyS6U38uYeA6cv0rnifPYe+YKIpGIcsV8CPusOuZj9qaOuXkyAPR0ldF2r+ISSUhJw1Bfj8f3b76poymePsV5+vC21jq+ePqAoiUL2kUsFlO0RDmevlNHb78SXDl3lPS0FORyOZfPBpOXl4Nf8SCN+WaI4bqJ0iD/u/asy5PJePgsQs1QFovFlA0oQtijZ5+UR3ZOLvmyfMxMjD9ff56Mh0/DCSpRMEwvFospW6Iodx49+TT9uTlvvlPt+pPjI0lPicOzaCXVOQMjU5w9S/Dy6c1PLm9OptKDbWis9D5npCbw6tktjM0sWTm1HTMHV6bXxNncfxZB2eIF4RlisZiyxf0Je/zpbSqTFfRTALlczoSFa/mhcW28XBy1ps3Lk/Hw2QvKlnj/Oy3KnYdPP03/O22qLb9SpUrz4MF9jekfPLhHqdKl1c6VCQwqJB8WdpuO7VvTp1d3Fi6YR2pqKnl5eTx58phSpZTpt2/fSof2bcnJyeHUyRPk5xd+HX3w4L4GfYEqfXK5nNDQKzg5OTFu7Gg6tG/L4EEDuXjhgko+OTmZhw8fYC6V8sPsDdx5EcXVxxFcfxr5ps4iKvi6cTv89UfbT6FQcPnhC8Jjkwj0cgYgT6Yst75uwa9ZLBahpyPhxjOljsS4SNJS4vEuXrB7q4GRKS6eJXjx5OZH9b4lO0vZT42MtY+SfBNEoq9z/EcRDHCBL6ZkyZKMHTsWHx8fRo0ahYGBAdbW1vTq1QsfHx/Gjx9PQkICt2/fRldXl0mTJhEUFISHhwcdO3akW7duagb4/PnzGTVqFC1atMDf358FCxZonBBZokQJJkyYgI+PD507dyYoKIgTJ5RehHPnznHlyhW2b99OUFAQPj4+zJw5E6lUyo4dOwBlvGDt2rXx9/fHx8eH1q1bU7Lkl3kPPqctPofktAzy5XIszU3Vzluam5KgZdj5feZvOYC1hRnl3jHi3+XAWaWXuW6FMmrnzaWWpCQlaEyTlpqMXJ6PudRS7byZ1JLkd9JUrFqPvoMnMfq3xTRp1ZXzIYdZMnu8WppODaoCMPyH5tQsG8D0dbvZcuw8VuYmxGsZ2n+fedsOYS01o3xRHwDcHWyxt5KyYPthUjMyiXkz5J+Ymk5yUrxaeVOStdQxTVlHM3Or9+poRUpyQR79hs0gP1/Gz51r0qdNBdYtmcKAkTOxc1CPjd5vCSPdYZw7JOlA9+hPqtpfIjk1XdlvpOqxoBZSUxKSUz4pj4Ubd2Jtaf5J3u5C+tPSNOq3NDcnMfnT+u2i9duxtpCqGfHvk54SB4Cxmfp3ZGxmTUZqvKYkhVDI5RzZMhUX7zLYOit/I0lxLwE4vXcBZaq2puOg5bg72iFXKMiTyd6rkykJn1inBZv2YG1hTrl3jPh1+46hIxHTtn71D6ZVtan5e20qNfvk73TRhh3YWEgpW6Ko1vykUguSEhM1pk9KSkIqtXhPXkpyUoF8mcAghvwynClTf6drtx7cCbvNhPFjSEpKQi6XI7WwoEnTZgwfMZpp02fg4+NLZGQkq1au0KJPWkhfUpIyRCY5OZmsrCy2b99GmcAgfv1tKhUrVWLKlF8JC1Pea6OjowDYtHEDdUv5AeBtb03vhdt4EavMx8rUiHgtISgAaVk5VBg2h6AhsxmwbCcjW9Wior87AO52ljhYmDFv/1lSM7PJk+Wz6vhlYpLTiEtV5pn+5n5hYm6tlq+JuRXpKZ/WT+VyOQc2TMfNtwz2Lj6flOZvQyz+Osd/FGESpsAXU6JECdX/EokEKysrAgICVOfs7JRBrrGxsQAsXLiQVatWERERQVZWFrm5uZQqVQqAlJQUYmJiKFeunFqegYGBhSbrvKsXwMHBQaXj1q1bpKenY2Wl/kDOysri6VOll2jIkCH07NmT9evXU7t2bVq3bo2Xl9eXNMVnt4UmcnJyyMlRjwfMyc37onKt2Xeco5dusHTMj+jrKb38h89fY+qqghcfM2OlN05f9+vfFmrWa6H638XdG6mlFdPH/UhMVCR2DkoPUsd6VVl/+AxuDjY0+a4sWTm5rD8cQr0KpT5Jx+oDJzl6+SbLRvZV1fHYlVskpWZw4moYx0NvI37jbSlbxJusrxx7uHvTYjIz0hg6aTEmplJuXAlh8R8jGTV1Bc5uBQ/KGslQPk1pfB+1gE220DMa/hf9QOv2HOb4+VAWThyqatNvqn/XQY6fv8LCSSPU9AefucjvS9cCIFNI6DBwyRfrOrhxMrGvHtN95CbVOYVCec8JrNaW0lVaAdDMrhF7T13g3PU71KkY+Nl61u49yrGL11g8bpCqTvefRbDlyCnWTx2J6G/2CK7bfYhj56+waOLwv/U7rVathup/dw8PPDw86dmji5qXvEXL7wEQIcfT05PXr1+zf/8+unbrhq6uXqE8taFQKACoUKEiLVoo5yV4eXlx//49Dh06SEBACeRypUyDBg2pX9ySWXtD6Fg9kGcxCey5HMbAJlU/qsdYX49tw7uQmZPL5UcRzNpzCmcrc8r6uKIrkTC7RzMmbj7Cd6PmIxGL8LSzQiwScfnhC671DKTrL1/eT/eu/ZXoyMf0G7fhi/MS+GcRDHCBL+b9sA2RSKR27u0DRS6Xs2XLFoYOHcqsWbOoWLEipqam/PHHH1y+rDmO+XP1vjXS09PTcXBwICQkpFC6t56UiRMn0qFDBw4ePMjhw4eZMGECW7ZsoUWLFoXSiMVi1U3+LXl5hY3iz2kLbUybNo1Jk9Qn3g3v3g6JWFxokldiShpW5h+e6b7+4CnWHDjBopH98HEtGNquWqYYxb2GAnDvWQRjFilv6Amp6Vi/MwEsJTkRNw/NXnNTMylisaTQhMvU5ESkFlYa0wB4vVk9JCbqpcoAl5oaIxGLSUhRTrgs7unKir3HiUtKxfo9z//7rDsUwpqDp1g8vLdaHauVLkrAlCEApGdlk52TS8+pi0lITcPNrWBIOzU5EVdtdTRV1jE1Rd1DnpqcgLlU6cmKjXrJiUNb+XXuNpxclS9xrh6+PLp3g5OHttO532hVOhO58rDNA7tcmOymjAN31z4H6y8jNTNR9pv3PLNJyWlYST88fL1x31HW7TnC/HGD8XFz/mv6TU016k9MSSnkFX+fTXsPs2H3QeZOGIb3eyusVClbSrWCx9nU0shkykluGakJmEoLJk9npMZj5/Jxz/2hjZN5fCuEriM2YGZprzpvYq7My8bRu6BOZiaIgKh49f6QmJKG1UfqtOHAcdbuO8qC0T/h4+akOn/zwROSUtNp+tM41bl8uZy5G3ax+UgIuxf/XqD/bZu+N/KVmJz68e907xHW7z7EvPFDVW2qLb/k5CQsLC01ZYOFhUWhCZrJyclILTTLA9g7OGBmZk5qSjJisZjkpMLp7exsiYmJJiYmBmfngu9cqS+5kLyFhdILb2ZmhkQiwdVVfSUjFxdX7t1VxvNbvqmLi6srFsb5SMQiEtIy8bC3IjpJWfeEtEysTbWHOonFIlxtlDr9ne14HpPAyuOXKeuj1FvUxZ5tw7uSlpVDXn4++jo6dJm7CR8Ha4q2n01+nrKfpqfEYya1UeWbnpKAg5v2FWfesnftbzy4eZo+Y9Zh/k4//cf4D4ePfA3+u75/gX+E8+fPU6lSJfr370/p0qXx9vZWeaQBzM3NsbOzIzQ0VHUuPz+f69eva8pOK2XKlCE6OhodHR28vb3VDmvrguE/X19fBg8ezNGjR2nZsiWrV6/WmJ+NjQ1RUVFq527evPlZZfpURo0aRUpKitoxrHs7/D2cuXL3kUpOLpcTevcxJbw1L0MIsPbACVbsOcr84X0o6qn+cDI2NMDF3gYXexsuhj3E390JK3NTQt/RkZWZzrNHd/H2C3g/awB0dHVx9/Ln3u2C70sul3P39lWtaQAinit1SC0LvgtdHR383Z0IvaeMDX4U8RpTIwOuPXhGwIfqePAUK/adYMEvPSnqoW6oGRsa4GJnjYudNUXcnSnl64GFqTHPX8VQuny1gjo+voOXXwlN2aOjq4ublz/336vj/bBQvN7UMTdXGc8ues+rLhaLkSu0v2y9faWT/U3PMV0dHfw8XQm9UzCBUi6XE3rnPgG+2pf1W7/3CKt2HmDO6IEU8XL/6/p1dfDzcufaOxMo5XI5V2/fp7ivt9Z0G/YcYvWO/cwe9wtFNCyXaGxoiLODHc4OdljauWHj6I2JuQ3P7hdMgszJSify2W1cvEpp1aNQKDi0cTIPrh+n87A1WNiov2hIrZ0wldoSH12wuoeujg76erpkv7OyhVwu5+rdhwR8YKnEdfuOsXLXYeaO/JGi7y0d2uC7cmyaMZoN00epDhsLc35oUps5Y4eoyerq6uDn6aaaQKnSH3af4n7aR/A27DnM6p0H+HPsYIq8s/yhtvxu3byJv7/mlxd//6LcvHlD7dyNG9e1ygPEx8eRlpaKjY0t3t4+3Lp1U03fzZs3MZdKEYvFmJtL39NXhFvv3W/f1aerq4uPrzKE5V1ev3qlWs3Kzs4OKysrXkVGoqsjoYiLPZcfveBFbBIOFmbI5QouP3pBCXft8ffvowxFKhyzbmqoj6WJEfGpGTyNiqdJuWJY27lh6+SNqbk1T+5eUslmZ6Xz8tlt3LxLadWjUCjYu/Y37l47Tq9Rq7C0/WsvxF8dYRWUL0LwgAt8U3x8fFi3bh3BwcF4eHiwfv16QkND8fAoeMj+9NNPTJs2DW9vb/z9/Zk/fz5JSUmfNTRbu3ZtKlasSPPmzfn999/x9fXl9evXHDx4kBYtWlCsWDGGDRvG999/j4eHB5GRkYSGhtKqVSuN+dWsWZM//viDdevWUbFiRTZs2MCdO3co/d7EoK+Bvr4++vr6aufS9HTp2KA6E5duoqiHC8W83Nh05DRZObk0qVYegPFLNmJrYc6Ato0BWLP/BEt3Hua3/p1wsLYk/o0X0shAHyODgvzTM7M5fuUWgzo0JT0zm5V7juFiZ0OOux07Ni1BamlNYIVqKvlp4/oTVKE6dRq1AaBBsw4smzsJD+8iePoUI3j/FnKys6haW1mOmKhILp4JpmRgJUxMzXkZ/oSNq/7Er1hpXN2VoRnXr5zl4evL1C5bgkU7j5CelcWxK7fxdLTjVVwiTb9TTvIcv3QzNhbm/NRGuTbymoOnWLIrmCl9O+BgbaGxjseu3MLC1AR7KylPIqOQ5cuRSMTk5eYS+eIxuzctRmppQ5ny1VV1/GN8X8pUqEGthsr1iOs1/YEV8ybg7lUED5/iHDuwiZzsLKrUagqAvZM7tg4urFsyhTZdBmFias71KyHcu3WZgWPmAPD0URj3zMAzW7kGeIIOHLYEqzxwLzwfFYmxEcbeBS9NRh7OmJX0JzcxheyXUYUTaKF94zr8unA1RTzdKOrtwdZDx8nOyaVR9coATFqwChtLKf07KIfu1+05wvJt+5j0cw8cbK1UccWGBvoYvVmhIiU9g5j4ROLfxNS/eK0MZLewtMLqveXz2jWpy2/zV+Dv5U5RH0+2HjhKdk4OjWtWAWDyvOXYWErp90NrANbvPsiKLXuYOKgPDjbWJCS9o9+w8AoZoBxZKl+7M2cPLMHKzh2ptROnds/DVGqLf5naKrl1f3TFv0xtytX6AYBDGyYTdvkA7X5aiL6BsSqWXN/QFF09A0QiEZXq9yBk73zsXfywdynCktD9yPLlPH35mgOnL1HM250th0+SlZND42oVAJiwaC22FlJ+bK9cUm/tvqMs236QXwd0xcHGkvg3bWr0pk2lpiZITdVXBdKRSLAyN8PNqbCns32Tuvy6YCX+Xu4U8/Zgy8Hjyjat8eY7nbcCGysL+nds9aZND7F8614mDeqlsU3fz29t8E6yc7KpXaceALNm/o6VlRVdu/UAoGmz5owcMZRdu3ZQtmw5zpwO4cnjRwz4aSCgDPXbvGk9lSp/h4WFBVFRUaxetRwHB0fKBAaSk5PD7Fm/k5aWSuUq33Hu7GnS09O4eeMGNWrUZNnSJW/0dX9H3zB27dr5jr7H/PRGH0CrVt8zY/o0igcEUKJESa5du8rly5eYPuN3VR9p2ep7Nm5YT5BhbRqW8WfW3hBEIhGDmnzHb9uPkpWbR/PyytG5MRsOYmtuqgpNWXnsEkVd7HGxlpIry+fsvWccDL3HmDZ1VGU4euMhFiaGOFiY8Tgqjt93naRGgDeV/D04/KYMlet35uTepVjbu2Fp48zRHfMwk9pSNLBgv4Dl07pRLKg2lep0BJRhJzcvHqTzoAXoGxiTlqzspwZGyn4KkJYcR1pKPAkxEQA8evQIY2NjHBwc/r5N5f7D8dtfA8EAF/im9OnThxs3btC2bVtEIhHt27enf//+akvzjRgxgujoaDp37oxEIqF3797Uq1cPyQeW5XofkUjEoUOHGDNmDN26dSMuLg57e3uqVq2KnZ0dEomEhIQEOnfuTExMDNbW1rRs2bJQ6Mdb6tWrx7hx4xg+fDjZ2dl0796dzp07ExameXWQv4O6FUqTlJrOkp1HSEhJxdfNifnD+2D1JjwjOj5JFeMMsPPEefJk+YyYt0Ytn14t6tGnVX3V56OXrqNQKKhfsQzGhgZk5+QyddU2UjPX41ukJMMmzEVPr8Bgj41+RVpqsupzhe/qkJaaxM5Ny0hJSsDVw5dhE+ZiLlWGoOjo6HLn1hWC928mJzsbS2s7girWoHmb7qo8dHR02H7iAi9jlcP6wZduoVAokEjEzB/as6COicmI3tn8YcfJi+TJ8hm+YL1aHXs3r0OfFnUBiE9O48/N+0lIScdaakrrWsoVCNYunkJmRho+RUoxZNx8dNXqGKlWx3JV6pKWmsSeLUuUmw15+DJ4/Hy1Og4eO48d6+czb+pgsrMzsXVwocfPkygRqDQ09fUNCDOGYAvIFYFZPvhnQe0kzTdi88DiVDxRUK+iM5VhLC/X7eJ2j1EaUmimTqWyJKemsXzbPhKSU/Fxd+bP0T+rwiWi4xPVXm53HTtNnkzG6NlL1fLp8X1jerVRvnCcvXqL3xatUV0bN2c5AN3bNKNn2+Zq6WpXLk9yShrLt+whMTkFHw9XZo8dguWbcImY+AS1frs7+BR5MhljZi5Uy0dT3u9SuUFP8nKz2L92PNmZqbj6BPLD4OXo6BZ8r4lxEWSmF4Q+XA3ZDMDa3zur5dWs21RKVVG+kFSo0wVZXg7BW6aTlZGCv5s9i8b+zKMXkSzbcYCE5DR83ZyYO/JHVZvGvPdb3HXsLHkyGSPnqE8w7NmqIb2/b6S1TtqoXbkcSalprNiy58136sKfYwa/06aJiN/5new6GqL8TmcuVsunR+um9GzbrFB+Hp5eTJ48RRXiERcXq5ZfkaLFGDZ8FOvXrWHdmtU4OjkyZtxE3N2VjhSxWMzz5885cfwYGRkZWFpaUbpMGX7o1BVdXT2qVqvO06eP2btnN6dDTiESibCxsaVBgwa0aNmScWPHqP3OixYtyrDhI1i/bi1r16zBycmRsePG4+7urpKpVKkyPw74ie3btrJ0yWKcnJ0ZPWYcxYoVbJbVvHkLcnNz+WP3DlIys7GXmpGdl8fPy/fg52zLor7fY2WmDEGJTkpT+w6zcvOYuv0YMSnp6Ovq4GFryZROjahfpiB0JC41nZl7TpGQloGNmQmNyxajT72CFU8AqjXqQW5OFrtWTSA7Mw133zJ0G7ZM7f6TEPuSjLSCfnrpxBYAlk3topbX972mEFRVGTJ56eRWTuxepLrWsaPSeJ82bRotW358vX6Bb49I8X5gq4DA/xhyuZwiRYrQpk0bfv3113+6OP8IaaGHvrnO+6aVv6m+osna1xr/O7hlVvOb6gNILvn5k/a+hEpXl31TfXLJt5+oGZxc8eNCX5FGRn9tN9K/Sr6uZq//30mCkfZdTf8ORGgP0/o7cH78bb9DgMOW3b6pvhbl/q7FTQvIDl75VfIxqNfjq+Tzb0PwgAv8z/HixQuOHj1KtWrVyMnJYcGCBTx//pwOHTr800UTEBAQEBAQgP90/PbXQGg9gf85xGIxa9asoWzZslSuXJmwsDCOHz9OkSKfvw6xgICAgICAgMD/GoIHXOB/DhcXF86f17xNtoCAgICAgMD/AMIyhF+EYIALCAgICAgICAh8HsIqKF+E0HoCAgICAgICAgIC3xDBAy4gICAgICAgIPBZKIQQlC9CMMAFBAQEBAQEBAQ+D2EVlC9CaD0BAQEBAQEBAQGBb4jgARcQ+Bcgypd9c53Xws0/LvQVcfL0+Kb67oSbfFzoK9PmG2+McyGo9zfV51DV5pvqA3jSPeSb6lNE7vmm+p40m/JN9QGUCFv7TfUlnb30TfUpShX9pvoA1u57+k31tSjn+/crETzgX4RggAsICAgICAgICHwWQgz4lyEY4AICAgICAgICAp+H4AH/IoTWExAQEBAQEBAQEPiGCB5wAQEBAQEBAQGBz0MIQfkiBANcQEBAQEBAQEDg8xB2wvwihNYTEBAQEBAQEBAQ+IYIBrjAP0rXrl1p3rz5V8vP3d2dOXPmfLX8/ipr1qxBKpX+08UQEBAQEBD4W1CIRF/l+K8ihKAIFKJ69eqUKlXqswzZv5JG4PPZdvw86w6fJiElDR8XB4b/0JziXq4aZXeFXObg+Ws8jYwGoIi7Ez9+30BNPiEljXnbDnLpzmPSMrMo4+fB8B+a42pfsJ6zQqHg0uF5hF3cTk5WKo4eZajZeiIWtu5ay3nr3CbCzm0mNfEVAJYOPpSv1x+PotUKySoUCvYs7cWc+2eZPHo48YkJbN21j8SkZLw83PipTw+K+Ppo1PP8xUvWbNzCo6fPiImNo3/PrnzfrLGazN5Dwew/HEx0TBwA7q4udGr3PVgHqPRfODSPOxe2k52VipNHGWq1/Uj9zm7i1jv1s7L3oUL9/ngUU9YvKyOZi4fm8+LBOVKTojAyscSrRG0adgvkyJnLbNh/lMTkFLzdnPmle3uKeWteA33P8bMcPnORZy9fA+Dn6Uq/9i3U5E9dvs7uY6d58CyC1PQM1v0+Dl93F61l14ZllSA8f+mBeZniGDjacrVVf2L2nfjsfACsm7XErk17dC0tyXr6lJfz/yTz4X2t8jYtW2PTtAV6tnbIUpJJOhPC6xVLUeTlqmR0ra1x6tUPs3IVEOsbkPMqkhd/TFXLp3oJMaW9RRjowss4BYdC5SSmfVqZKxcVUau0hEsP5By9Jled71xbgrvdu0bCAnJunCM/7jUG5WshMjYjP/YVWce3kx/1Qmv+In1DDKo2Qde3JCIDI+SpSWSd2IHs2T0AJM5eGJSvjcTOFbGpOek7l7Jw22527m5AZkY6vv4l6NpvBPaOmn/vbzl2cDuH9mwgJSkBF3cfOvceipdvMdX1KWP68uDOdbU0Neu1oFv/UarPJUcsLJTvj3XL07tW0Ad1Axy++ZiRm49So6gHc7o0VJ1ffOwKR249Jjo5HV0dCUWdbBhQrzwlXO215mVUuQ7G1RsjMTUn73UEqbvXkvdS83ralv3Gou9deH3v7Hs3SFr5x0fLDbDl6kPWXrxLQnoWvnYWjKhXjgAna42ye289ZcL+C2rn9CRirozq+FE97RtbUaeyOcaGYh48y2LJ5lii4vK0yi/71QNbK91C5w+dTmbZ1lhMjMS0b2xFqSLGWFvokJqe/9EyfBWEVVC+CMEAFxD4l3D08k1mb97P6C6tKO7lyqbgswyYuYJdM4ZjaVZ4U5lrD55Sr0IpSnq7oaery9qDp/hx5nK2TxmKraU5CoWCX+auQUciYfbArhgb6rPxyBn6/b6MHdOGqfK5emI5N86sp17H6ZhZOnPx0Fx2L+lB51GH0NHV11hWU6k9lZsMRWrjBii4d2UP+1f8SMdhu7FyUDemb4SsRYTSwAm7d589Bw4z6MfeFPH1Yee+g4wY/xtrl8zDQlp4Y6CcnBwc7O2oVqUii1as0VgWG2srenb5AWdHBxQKBUdPhDBuyu90GF4JawcfQo8v5+bp9dT7YTrmVs5cODiXXYt60GWM9vqZSO2p0nQoFm/qd/fyHvYu/5EfRuzG2sGHjJRY0lNiqdp8BFb23qQmvuL41on8/NtZHodHMqJXR4r5eLDl4AkGTZnL1jmTsTQ3K6Tn+r2H1KlcjhJ+Xujp6rB+bzADf5vDptkTsbW0ACA7J4eS/j7UqhjEtKXrNZb3U5AYG5F6+yEv1+wkaEdhA+xTsaheE+e+A4iYM5PMB/ewbdkG7xmzude1PbLk5MLyNevg1KsvL/6YTsbdMPSdXXAbPgZQ8GrxAmXZTEzxnbuY9JvXeTJyKLKUZPSdnJGlFVjXlYqKKOcnYs9FOcnpCmqUENOxhoRFB/LJlxdSq4ajJZTxEROdpNB4/dpjOSG3lZn0jBqHjkdRjOq1I+voVmSvw9EPqoFxmx9JWz4ZRWZ64QzEEozbDkCRmUbGnpUo0pIRmVuiyM5SiYj09MmPfUXu7YsYt+zN2jOhbLv3kp5Dp2Fj58jOjUv5feLPTF+wFT09zf3y0tljbFo1h279RuLlW4wj+7fw+8Sf+X3Rdsylliq56nWb06pDwSZN+voGhfKSiEUMaVgJfycbdl25x7ozN2hVvihWJkZa2/FVYiqzD56njIdDoWtu1lJGNauKs6UZ2XkyNpy7Rb8V+9k//Ac0+UANSlXArOkPpOxYRV7EE4y/a4Bl75HEzfgFeXpqIfmkNX8i0ikwacRGJlj/Mp3s25e1lvddgu+GM+vYVcY0KE+AkzUbr9yn/+YT7O3XFEtjQ41pTPR12dOvmerzp/hyW9SxoHF1KXPXRROTkEeHxtZM+MmJnya/IE+muf8NnRGhFm7t6qDP5IHOXLiu7P+W5jpYmuuwZlccL6NysbHU4ddBn/8SLvBtEV5fBNTo2rUrp0+fZu7cuYhEIkQiEeHh4Zw+fZpy5cqhr6+Pg4MDI0eORCaTfTBNfn4+PXr0wMPDA0NDQ/z8/Jg7d+5fLlv16tUZMGAAAwYMwNzcHGtra8aNG4dCoX7TyszMpHv37piamuLq6sqyZeq7D758+ZI2bdoglUqxtLSkWbNmhIeHq7VB8+bNmTlzJg4ODlhZWfHjjz+Sl1fgoUhKSqJz585YWFhgZGREgwYNePz4sday37p1ixo1amBqaoqZmRmBgYFcvXr1s+q/4cgZWlQrT9OqZfF0smN015YY6Omy98wVjfJT+nagTa1K+Lk54eFoy7gerVHIFVy5pyxnREw8YU8jGNWlJcU8XXB3sGVUl5bk5OZx5OINQOkdvnF6HeXr9sMroDY2Tv7U++F3MlJieRp2XGtZPYvXxKNYNSxs3bGw9aBy48Ho6hsRFX5TTS428j7XT62iTgelJ/PClas0rFebBrVr4u7qwuD+vdHX1+fwsZMa9fj7etO3e2dqVq2Crm5hDxFApXJBVAgqg7OjAy5OjvTo3AFDAwOiwm8q6xeyjvL1+uFdQlm/+p1+Jz0llie3tdfPK6Amnu/Ur0oT9fpZO/rStOd8vAJqIrVxxdWvIlWaDOL+k3Ca1KxM4xqV8XB2ZESvjhjo6XHg1HmNeib/3JPv61XH190FdycHRvftjFyh4GrYA5VMg6oV6fF9Y8oGFNFa3k8hLvgMjybMIWav9np/CrbftyP+0H4Sgw+R/SKciDl/IM/Jxqp+Y43yxsWKk34njKSTx8iNiSbtWihJp45j7FfgzbRr15G8uFhe/DGNzIf3yY2OIu1aKLlRr1Uy5f3FnL0j51Gkgthk2HNRjqkR+Lt82CzS1YEWlSUcuCwnO1ezTF4+ZGQrD0VGGvqlvyP31gVywy4hT4gmK3gL5OWiF1BRY3q9EhURGRiRsWsZ+a+eIU9NJP/lE+Rxr1Qysmf3yD57gLzHt1EoFGw6f51uJT0ILF8NV3cf+gyaSHJiPNcundZal8N7N1G9bnOq1m6Ck6sn3fqNRF/fgDPH96vJ6esbILWwVh2GRoVf4Cv6uPDDd6UI8nTitza1MdDTZU+o9lGMfLmc0VuO0a9OOZwtC78sNyztSwUfF5ytzPG2t2Jo4yqk5+TyODpeY37GVRuSeekUWaGnkcW8ImXnShR5ORiWKzyKBqDIykCelqI69HwDUOTlkH3r0wzw9Zfv0bK0D81LeeNlI2VswwoY6ErYc/PDO1hamxiqDisTzYb6uzSpacG2I4lcuZ3Bi1e5zF0bjaW5DuVLat+ZNzU9n+TUgqNsgDFRsbnceax8gYuIymXG8ihCwzKIjs8j7FGW1ry+JgqR+Ksc/1X+uzUX0MjcuXOpWLEivXr1IioqiqioKHR1dWnYsCFly5bl1q1bLF68mJUrV/Lbb79pTePi4oJcLsfZ2Znt27dz7949xo8fz+jRo9m2bdtfLt/atWvR0dHhypUrzJ07l9mzZ7NixQo1mVmzZhEUFMSNGzfo378//fr14+HDhwDk5eVRr149TE1NOXv2LOfPn8fExIT69euTm1vw9D116hRPnz7l1KlTrF27ljVr1rBmzRrV9a5du3L16lX27dvHxYsXUSgUNGzYUM1If5eOHTvi7OxMaGgo165dY+TIkVoNRk3kyWQ8CH9FuWIF3mOxWEy5Yj6EPdE+7P0u2Tm5yPLzMXvjwcrNU75A6em+4zUSi9HT1eHm4+cApCZEkpkah4tvJZWMvqEp9m4liXp+45P0yuX5PLx+EFlOJg4epQvqlJvFkXW/UKP1eIzNlCEvUVHRBJYsoVaewFIB3Hvz/X0p+fn5nDxzjuzsbBzdS5OSEElGahyufu/Vz/3z6vfg2kFkuZk4upfWKpeVnowCKF+iwLAUi8WUDShC2KNnn6QrOyeXfFk+ZibGnyT/rRHp6GDk60va9XdeLhUK0q5fxbhoMY1pMu7ewcjXDyM/5QuEnoMj5uUqkHLlokrGvFJlMh4+wGP8rwTs2I//klVYNWyiui41AVNDEc+iC17Gc/LgVTw4W3/YAG9YVszjVwqeR2v2PgIEuIsY2kpC30YSDKo1Q2LvguzFu31SgSz8ITpOmkOJdL0DyH/9HMM6bTEbMBXT7qPRr1BX6zJukZGRxKdlUM7RSnXOyNgET99iPHkYpjGNLC+P8KcPKFayrOqcWCymWMmyhdJcOH2Efj/UYeRP7di6biE5Odlq+QDcjoih2qSVdJi/nb3X7lPe25nbEdFa22jp8VAsTAxpWe7j27znyfLZefkupgZ6+DpoCPGQSNB19iDn8Z2CcwoFOY/uoOemORztfYzKVyf7xiUUuTkfL09+PvejEinvURAOIxaJKO/uwO1XcVrTZeXKaDBvF/Xm7mTQtlM8iUv+oB47K10szXW4/SBTdS4zW86j8Gz8PAuPQmhCRwLVyplx4mLhUYBvjkj0dY7/KEIIioAa5ubm6OnpYWRkhL298mY0ZswYXFxcWLBgASKRCH9/f16/fs2IESMYP368xjQAEomESZMmqT57eHhw8eJFtm3bRps2bf5S+VxcXPjzzz8RiUT4+fkRFhbGn3/+Sa9evVQyDRs2pH///gCMGDGCP//8k1OnTuHn58fWrVuRy+WsWLEC0Zsf/urVq5FKpYSEhFC3bl0ALCwsWLBgARKJBH9/fxo1asSJEyfo1asXjx8/Zt++fZw/f55KlZSG28aNG3FxcWHPnj20bt26ULkjIiIYNmwY/v7+APj4aH+I5OTkkJOj/tCISUwhXy7HylzdS2JlbkJ4VOwntd28bYewlppRvqhSt7uDLfZWUhZsP8yYbq0w1NdjY/BZYhJTiE9OwxvISFM+fIxNrdTyMjK1IiNNs+fqLfGvH7L1z3bIZDno6hvRuMdCrOy9VddP756Gg0dpvAJqq87JFQosLNS9ZxZSKRGRr/gSnoW/YMCwMeTm5mJoaMCkMcOJt/bm9bPrqvq8i7GpFRmpH65f3OuHbJmlrJ+evhFNei7EysFbo2xWeiKXghcDYClVDzWxkJoS/jrqk+qxcONOrC3Nv9jb/XehY26OSKKDLClR7bwsKREDFzeNaZJOHkPH3BzfuYuUI2g6OsTt203MpoJwGn0HR2yaNid2x1aiN63DyK8ILgMGoZApjUWTN7ZLxnuOv/RsBR9yShZzE2FvKWLFYe0xs3fC5aRkQFqWAlupiOYlyyISS5BnqAeXyzNT0bGy05iHWGqF2NyX3HuhZGxfjNjCBsO6bUEiIef84ULycXHK352loR7vtqS51JKUpASNOtJSk5HL89VCTQDMpJa8jix4Sa9YtR7WNvZYWNoQEf6EresWEP3qBQNH/a7KB+Dn+hUo7mLHxccvmbrnDKXc7MnM1exguP78NbtD77NtUFuN199y+n44IzYFk50nw9rUmCU9m2JhbEjSe3JiY1NEEgnytBS18/L0FHRsHT+oA0DXxQtdB1dSti7/qCxAUmYO+QoFVu+FmliZGBCekKIxjbuVGRObVMTH1oL0nDzWXbpL1zVH2NmnCXZmml+QpeYSAJJTZWrnU1LzsTD7NHOsfEkTjA3FnLikuVwApsaCb/XfgPAtCXyU+/fvU7FiRZXBClC5cmXS09OJjIz8YNqFCxcSGBiIjY0NJiYmLFu2jIiIiL9clgoVKqiVo2LFijx+/Jj8/IIHaIkSBR5UkUiEvb09sbFKI/XWrVs8efIEU1NTTExMMDExwdLSkuzsbJ4+LRhqLFasGBKJRPXZwcFBlcf9+/fR0dGhfPnyqutWVlb4+flx/77mIdohQ4bQs2dPateuzfTp09V0vc+0adMwNzdXO5ZuP/CpTaSR1QdOcvTyTWb93AV9PaXnXVdHwsyfuhARE0eN/hOo3GsMhy9cRywWceXeYxYOK408X/aRnLVjYetBx+F7aDdkGyUqt+foxhEkRD8B4GnYCSIfXaJay9FfVK9PxcXJkeVz/6BLhzbkZOcwetJU5g0pSf4X1M/S1oMfRu6hwy/bKFGlPcEbRpAQ9aSQXE5WOruX9HkTL/7XWbfnMMfPhzJ9aH/Vd/j/AZOSpbHv0ImX82Zxv293no4fjXn5Stj/0KVASCQm8/EjXq9cRtaTx8izs0AiwW3YKEa2kSD5C08yMyOoFyhm9/kPx4hff6LgaZQyrOVOuIKs4zsBEJsWDrPQikiMIjONrCObyY95Sd6D6+RcDEa/VBUAjjyNovq6k6rjbXjf30HNei0oUaYiLu7eVK5enz6DJnD1UggxUer3cl8Ha4o42dC9ehm6VivNnZeaX/QzcnIZs/U4E1rVwEJLrPRbyno5sW1gW9b1a0VlX1eGbQwmIT3zg2n+Coblq5P3OkLrhM2vQUlnG5qU8MLf3pIgNztmfV8dCyMDdlwvCEWUeBTHoN1wDNoNZ/Nsb3QkX+7trV3JnOv3MkhK0fzSaGggZlx/py/W8ykIIShfhuABF/jb2LJlC0OHDmXWrFlUrFgRU1NT/vjjDy5f/rSYvL/K+6EdIpEIuVz5hE1PTycwMJCNGzcWSmdjU7Dyx4fy+CtMnDiRDh06cPDgQQ4fPsyECRPYsmULLVq0KCQ7atQohgwZonYu8+phgq/eIyFFfYJXQko61uamH9S97lAIaw6eYvHw3vi4qnuPing4s/nXIaRlZiGT5aOnq0P3KQvxcbbHrtbv5MuUYTkZaQkYm9sWlCctARsn/w/qlejovZmECXYuxYmJCOPG6XXUbjuZl48vkZwQweKRZQulmzV/MasWzlF9TkpOxtJC+kFdH0NXVxcnRwdaNWlEze8qM+3P+ciMvDE0sVDVx+Sd+mWkJWD7CfV7a1TbuRYn5kUY10+vo067ySqZ3Ox0di3uiZ6+MU16LmDJyLIkJqsPHSclp2GlYYLpu2zcd5R1e44wf9xgfNycP6vu3xJZSgqKfBk6FupeWB0LS/ISNXtuHbv1JPFYMAmHlC+Z2c+fITE0wHXwcKI3rgOFgrzEBLJfhKvSpFw4R/T6NVg3a8HSs+bovHlXNjaE9IJoCkwMRFonVjpYijAxFNG7QcGLtlgsws0WyvlKmLIlH4WGpHnhyvh7sbUjPLxZkNbIDEWG5rAARXoKcnk+72aYnxCN2MQcxBK+c7WhmE1BHzCwUPbLxCz1oPSU5ETcPHw16jA1kyIWS0hJVh99SE1ORGphpTENgJdvcQBiol5i5+CMqZkUiVikZhgHuNiRmZuHpXHhCZgvE1J4nZTGz2sPqs7J39SzzKhF7B3aERcrZd2M9HRxtZbiag0l3Oxp8vsG9oTep+V7log8Iw1Ffn6hlxyxiTnytGStdQHlZFbDUhVJC97xQbl3sTDSRyISkfDeEEpCejbWnxDXDaArEeNnb8HLd5bdyX/5CHm8cvRu8I2G6OooDXCpmQ5JqQUGtLmZhOeRHw+VsbHUoYS/ETOWvdZ43UBfxIQBTmTl/PVn1WfxD4aPLFy4kD/++IPo6GhKlizJ/PnzKVeunEbZ5cuXs27dOu7cUYY0BQYGMnXqVDX5rl27snbtWrV09erV48iRI39bHf67rx4CWtHT01PzKBcpUkQV5/yW8+fPY2pqirOzs8Y0b2UqVapE//79KV26NN7e3h/0/H4K7xvvly5dwsfHR81b/SHKlCnD48ePsbW1xdvbW+0wN/80j1aRIkWQyWRqZUlISODhw4cULao9/tHX15fBgwdz9OhRWrZsyerVqzXK6evrY2ZmpnaYGBni7+5E6L0CD6tcLif03hMCvLV7VtcePMWKfSdY8EtPinponxVvamSIhZkJCSlpPIuMoVHlIKQ2bljae2NkZsPLRwXxuDnZ6US/uKUWz/0pKBRylUFftnZvfhi+j47D9qgOADsba3y9vNTqeP1WGEX9/D5LlzaMjAxxcnRAT08PHR19rOy9MTazIeLhO/XLSic6/C/W751l83Ky0tm5sAcSiS7N+ixG39AEP09XQu8UTKCUy+WE3rlPgK+n1nzX7z3Cqp0HmDN6IEW83D+rTN8ahUxG5qNHmJYOLDgpEmFaOpCMe3c1phHrGxSaSK1465J+84DPuBOGgUvB8nvyrCwkpqbkRr0mKR3iUpQhIh7vLBeopwNO1hAZr9kAfx6tYPEBGUsP5auOVwkKwsIVLD2k2fgGkFgrV/iQWNq+c1aEjrsvslfPNaaRvXqGxMKGd9fJEFvYKkMs5PkY6+rgYmakOry9vbE2NSb0dcFLS1ZmOs8e3cXbL0CjDh1dXdy9/Ll3O7SgneRy7t6+qjUNQMTzRwBILa1V+RRxsuHykwKP+IPXcYiAUu6Flwz0sLFgx+B2bB3YVnVUL+JBWU8ntg5si7259smFcoWCXJkGT25+PnmRz9H3eWfegEiEvk8xcl9on+wOYFCyPCIdHbKunfug3LvoSiQUcbDkyvOCGHe5QsGV8GhKONl8IOU7RZbLeRKbjLXpOwa7LBdFWhKKtCSi4/J4GZVLYoqMEn4FLzKGBmJ83Q14+CxbQ67q1KpoTkpaPlfvZBS6ZmggZuJPzshkCqYs1mygf3VE4q9zfCZbt25lyJAhTJgwgevXr1OyZEnq1aunGqV+n5CQENq3b8+pU6e4ePEiLi4u1K1bl1ev1EMb69evr5rHFhUVxebNm/9Ss3wqggEuUAh3d3cuX75MeHg48fHx9O/fn5cvX/LTTz/x4MED9u7dy4QJExgyZAjiN2sjvZ9GLpfj4+PD1atXCQ4O5tGjR4wbN47Q0NCPaP8wERERDBkyhIcPH7J582bmz5/PwIEDPzl9x44dsba2plmzZpw9e5bnz58TEhLCzz///NFwmrf4+PjQrFkzevXqxblz57h16xY//PADTk5ONGvWrJB8VlYWAwYMICQkhBcvXnD+/HlCQ0MpUuTz4nh/qF+V3acvs//cVZ6/jmHa2l1k5eTS9DulF3n80s3M33ZIJb/m4CkW7wpmQo/WOFhbEJ+cSnxyKpnZBZ6WY1ducfX+UyJjEwi5fof+fyynemAxKgYoDV6RSETpap25cnQxT8NOEP/6IcEbhmNsbqsWu71zQRduntmg+nxu/ywin4SSkhBJ/OuHbz5fwT9QOXHO2MwGa0dftQOgauWKnDp3geATIbx4GcmcRcvJzs6hfu0aAEybPY/lawtGL/Ly8njy7DlPnj1HJpMRn5DIk2fPefVOTPXytRu5dece0TGxPAt/ofwcdpciZZso61e9M5eDlfWLe/2QI+uHY2Jui3eJgvptn9+FG6cL6nd2X0H94l4/5Oy+Wbx8coUiZZX1y8lKZ+ei7uTlZlK3wxRys9PJSI2jSY3K7DtxloMhF3geGcXvKzaSnZNLo+qVAZi0YBWLNu1S6Vm35wjLtu5jTL8uONhakZCcQkJyCpnZBQ/rlPQMHoW/JDxSWecXr6N5FP6ShGTtMaKakBgbYVbSH7OSSs+/kYczZiX9MXApvKTch4jdsQXrRk2wrFsfA1c3XAYNRWxgSEKw0kPqNmIsjj36FJT/4nlsmjTHokYt9OwdMA0MwqFbT1Iunoc3o06xO7diXKQYdh06oe/ohEXNOlg3akrc3oK2uvxAznfFxfg6ibCVQvNKYtIy4cHLAku6Uy0xZX2VRnCuTGm4v3vkySAzR/k/gIUJfFdchIMlmBuDr5MIo0adyI+PQte3JLrFyyO2ssOwXlvQ1Sc37JKy7Rp1wqBqU5XenBtnERkYYVj7e8QWtuh4FsOgYl1ybpwpaDhdPSS2TkhsnRCJRHSsVYXVt19w++oZXoY/YcmciUgtrQmsULAKyLRx/Tl2sGBSe4NmHQg5upezJw/w6uVz1iyZQU52FlVrK1egiYmKZM/WlTx/cp+4mNdcv3yGpXMm4lesNK7uyrkh16+cxc/Bmp2X77I65DqLjl5myfFQdHUkNA9S3rPGbD3O3MPKl1Z9XR187K3UDlNDfYz19fCxt0JXR0Jmbh7zjlzk9otoXielci8ylvHbTxCbmkGdgIIX7nfJOHMIo/I1MAz6Dh1bR8xadUekZ0DWFeUqMObt+2HasHDMuVG56mTfuaZ5OcgP0Kl8UXbdeMy+W095Fp/ClEOXycqT0ayksnxj955n3smC9dOXnrnNhaeviUxK435UAmP2nCcqJYMWpTTPA3nL/pNJtG5gSdkAY9wc9RjUxZ7EFBmXbxWUd/LPzjSsJlVLJxJBzQpmnLqUyvuDsUrj2wkDfTELNsRgZPj/27SbPXs2vXr1olu3bhQtWpQlS5ZgZGTEqlWrNMpv3LiR/v37U6pUKfz9/VmxYgVyuZwTJ9T3OdDX18fe3l51WLwZifq7EEJQBAoxdOhQunTpQtGiRcnKyuL58+ccOnSIYcOGUbJkSSwtLenRowdjx479YJo+ffpw48YN2rZti0gkon379vTv35/DhwtPOvpUOnfuTFZWFuXKlUMikTBw4EB69+798YRvMDIy4syZM4wYMYKWLVuSlpaGk5MTtWrVwsys8DrM2li9ejUDBw6kcePG5ObmUrVqVQ4dOqRxZROJREJCQgKdO3cmJiYGa2trWrZsqTZB9VOoW74USakZLNkVTEJKGr6ujswf2hOrNyEo0YnJiMQFHrYdJy+SJ8tn+AL1taF7N69DnxbKyabxyWn8uXm/MpRFakqjyoH0alZbTT6oVi9kuVmc2DpeuRGPZyAt+q5QWyM7OeElWRkFU6my0hII3jiCzJRY9AxNsXb0o0Xflbj5V/5gHQOKFsHezpbVG7eQlJSMl6c7MyaNUYWgxMbFI37HY5KQmETvgQVrlm/bvY9tu/dRsnhR/pymDAVJTklh+p/zSUxMwtjYCE93N2ZMGku0hbIsZWv3Ii83i2OblfVz8gykZX/1+qXEq9cvMy2BI+tHkJEai56BKTaOfrTqX1C/2Mi7RIffAmDV5DpqdezZugnLt+0jITkVH3dn/hz9M1ZvJmZGxyeqzXHYdew0eTIZo2cvVcujx/eN6dVGaeCdvXqL3xatUV0bN2e5SkbzuiOaMQ8sTsUTBX2l6ExlfP7Ldbu43WOUtmSFSAo5iY65FIeuPdG1sCTr6ROejPwFWZKy/fRs7UBRYEFEbViLQqHAoVsv9KxtkCUnk3LpPK9XFiwfmvnwAU8njMapRx8cOnUlNyqKyEXzSDpxDLqPAeDCPQV6OgoalxdjoAcRsQo2nlKP77YwEWGkD6B9xZN3yZeDp72Y8v5Kj3pKBuTdv0n2hWD0ipfDsEojRMam5Me+ImPbQhSZyvADsZmlWriJIi2Z9G2LMKzVEtPuo5CnJZNzNYScy8dUMjr2bph0KHAm9Js+lzzHeaxcOI20tDR8i5Rk2IS5amuAx0a/Uk2aBKjwXR3SUpPYuWkZKUkJuHr4MmzCXMylyhAUHR1d7ty6QvD+zeRkZ2NpbUdQxRo0b9O9oBw6OtyJVHoS3xrZDhamTG9XFytTpec2OjkN8WeEH0hEIp7HJrPv2hGSM7KQGhlQzMWW1X1b4G1vRZKGJVyzb14i1dgMk3rfIzGTkvfqBYnLp6vWAJdIrdT6EYDExgE9T38Slk4tlN/HqFfMnaTMbBafvkV8RhZ+dhYsal9TtbRgVEqGWsRFanYOvx68RHxGFmYGehRxsGJt1/p42Ug/qGf3sSQM9MX072CHsZGY+0+zmLzgldoa4PY2upiZqI/qlvQ3wtZKlxMXC79Ye7no4+ehLOeSyZpX4vk7+Fq7WGpaeEBfXx99/cLr3efm5nLt2jVGjSq4J4nFYmrXrs3FixcLyWsiMzOTvLw8LC3VQ+VCQkKwtbXFwsKCmjVr8ttvv2FlpT1860sRKd4f+xMQ+B/lv7zbZvqlfd9c5/rkph8X+oo09dS8vNrfxYFw7cPyfxdt7LSv4fx3cCHo019OvwYOVT9tuP5rcqB7yDfV93PkoG+q71GzKd9UH0CJB2s/LvQVSTp76Zvqk5b6+FKJX5v2F//ayl9/lT2LNM8V+JqkXj/2caFPYPa+84UcUhMmTGDixImFZF+/fo2TkxMXLlygYsWCdfeHDx/O6dOnP2mOWf/+/QkODubu3bsYGCiXUNqyZQtGRkZ4eHjw9OlTRo8ejYmJCRcvXvzkENfPRfCACwgICAgICAgI/CNoWnhAk/f7azB9+nS2bNlCSEiIyvgGaNeuner/gIAASpQogZeXFyEhIdSqVetvKYtggAv8TxAREfHBCYz37t37hqUREBAQEBAQ+BAKvk4IirZwE01YW1sjkUiIiYlROx8TE6O2D4kmZs6cyfTp0zl+/LjacsWa8PT0xNramidPnggGuMD/bxwdHbl58+YHr4eEhHyz8ggICAgICAho559Yw1tPT4/AwEBOnDhB8+bNAVQTKgcMGKA13e+//86UKVMIDg4mKCjoo3oiIyNJSEjAweHzJqF/DoIBLvA/gY6ODt7eH549LiAgICAgIPDfZsiQIXTp0oWgoCDKlSvHnDlzyMjIoFu3boBysQYnJyemTZsGwIwZMxg/fjybNm3C3d2d6GjlcpNvN+NLT09n0qRJtGrVCnt7e54+fcrw4cPx9vamXr16f1s9BANcQEBAQEBAQEDg8/iHdrFs27YtcXFxjB8/nujoaEqVKsWRI0ews7MDlCGtb5dIBli8eDG5ubl8//33avm8negpkUi4ffs2a9euJTk5GUdHR+rWrcuvv/76t8Wig2CACwgICAgICAgIfCZfaxnCv8KAAQO0hpy8H64aHh7+wbwMDQ0JDg7+SiX7dP5/r9YuICAgICAgICAg8D+G4AEXEBAQEBAQEBD4LP6JSZj/nxAMcAGBfwH5ekbfXGdquvzjQl8Ruejv2exAG+/uPPetkEsK75T6d/KtN8aJOhP3TfUBJDbP/qb68rO+rb74zG//289/b4m3v5v06ORvqk/6DxiO8S+jvrHGv38jHv7BEJT/DwgGuICAgICAgICAwGcheMC/DKH1BAQEBAQEBAQEBL4hggdcQEBAQEBAQEDgs/haO2H+VxEMcAEBAQEBAQEBgc9CCEH5MoTWExAQEBAQEBAQEPiGCAa4wDdBoVDQu3dvLC0tEYlESKVSBg0a9E8X67MJDw9HJBJx8+ZNrTIhISGIRCKSk5O/WbkEBAQEBAS+KSLR1zn+owghKALfhCNHjrBmzRpCQkLw9PQstCXsvwUXFxeioqKwtrb+R/RvP3qaDfuPk5CSio+rE0O7tqGYt7tG2T0nznPw7GWeRb4GwN/Dlf5tm2qVn7ZiM7tPnGNwp1a0b1hTdV6hUHDjxHwehm4nNzsNW7fSVGo6AXNrzfm8z63Ty7l2dDZFK3WiQqPRqvMPrmzj2e0DJLy+R15OBk23bMDExJi9Bw6xbdceEpOS8fJwZ0Cfnvj7aV5SK/xFBGs2bubxk6fExMbRr1d3WjVroiazadtOzl28xMvISPT19ChaxJ9eXTsDRVT1u3xkPncvbicnOxUH9zLUaD0BqY32+oWd30zY+c2kJr4CwMrem7L1fsS9SFWVzK4FnXj1NFQt3cu61Rnep0uh/HYePsHGvYdJTE7B292VIT06UtTHU6PuvcdOc+T0eZ5FKHX7ebrTt2MrrfIA1s1aYtemPbqWlmQ9fcrL+X+S+fC+Vnmblq2xadoCPVs7ZCnJJJ0J4fWKpSjyclUyutbWOPXqh1m5Coj1Dch5FUlmh+GkXLujNd/3sawShOcvPTAvUxwDR1uutupPzL4Tn5z+fRqU16NCMR0M9UU8j8pn+6kc4lO0LzdZv5we9cvrqZ2LSZIzbUOmRvk+TQ2wcltB6pYFiE0tMKxcD7GJObLol2Qe3ozs1XOtukQGhhjVbIFekTKIDI2RpySQcWQreY/DADCs3hSj6k3V0uTHR0GE8n+FQsGRHQu5eHIH2RlpuPuVpnX3cdg4uGnV+fT+VU4eWE3ks3ukJsfRfchcAsrWUpMZ3L64xrTVvRx5GJdMQkY2vjbmDK9RmuIOlhpl990NZ2LwVbVzehIxlwa21Cg/5fh1dt5+xi/VS9KxjI/qvHmdxlg0aoXE3ILciOfErl1MzrNHGvNwGjMdo6IlCp3PuHGF1zMnAiAxk2LdvhtGAWUQGxmT9eAOcWuXqGS3hD5g7cU7JKRn4WtnyYj65Qhw+vjSnUfuPGfk7jNU93VhTtuCe2VCehZzTlzj0rPXpGXnUsbNjhH1yuNmZaaWvkdHd5rUtcfUWIew+6nMXPSYyKgsrfrEYuje3p26NWyxkuoRn5jLoRPRrN0aoZIZPciPhrXsP1r2r4lC8OF+EYIBLvBNePr0KQ4ODlSqVAkAHZ1/Z9eTSCTY23/bm9xbjl28xpz1uxjZox3FvN3ZcvgUP09fwPZZE7A0Ny0kf+3+I+pVCqKErwd6urqs23+Mn6YtYMsfY7G1lKrJngq9yZ0nz7GxMC+UT9jZFdy7uIHvWk3D1NKZ68fmEbymFy0HHkBHV/+DZY6LDONh6FYs7P0KXcvPy8LJ5zucfL7j2tHZynKcOceSFasZ+GNfivj5snPvfkaOn8zqpQuwkEoL5ZGdk4ODvR3VKldi8YrVGstw+85dmjVqgJ+PN/n5+axct5ER4ybR8pdK6Oobcf3kCm6dWU+dDtMxs3Lm0uG57F3Sk44jD2qtn4m5HZUa/4LUxg2FQsGD0D0cXPkj7X7ZhZVDgUFRrEJryjf4WfW5vWdYobyOn7/MvDVbGNanM8V8PNl64BiDf53F5vnTsDQ3KyR/4+4DalepQICfN3q6umzYc4hBk2eycc4UbKwsCslbVK+Jc98BRMyZSeaDe9i2bIP3jNnc69oemYZRGouadXDq1ZcXf0wn424Y+s4uuA0fAyh4tXgBABITU3znLib95nWejByKLCUZfSdn8pJSNLaXNiTGRqTefsjLNTsJ2rHws9K+T60yulQtqcvGY9kkpCpoWEGPvs0Mmb4xE1m+9nRRCfks2lOwtrdcrtlgr1ZKF8WbSzou3hiWr0XGgQ3IXj3DoEJtTH8YRPKCsSgy0gonlkgw6zQEeUYaaduWIE9LQmxuhSJb3dCXxb4idd2sghNyOdT+A4CT+1dx5shGOvSbgpWNE4e3L2DJ9D6M/GMvunqa+2luThZOrn6Ur96C1bMHaZSZtDhE7fP9m2fZsnQc555HMaZ2IAEOlmy8/pgfd51ld7d6WBoZaMzHRE+HXd3qqz5r82uefPyKsKgEbIzV8zGpUBXrjr2IW7WA7KcPkNZvjtPIX3kxtDf5qYX7VdSc3xDpFKyrLzExxXXaQtKunFOdcxgyDvLzeT17MvKsTCwatMBp9FRkx9YSfPsRs46FMqZhBQKcbNh4+R79Nx1nb//mWBobaik9vEpOZ/bxq5RxtVU7r1AoGLztFDoSEX+2rYmJni7rL9+j78aj7OrbTCXXsZUL3zd2YsqcB0TFZNOzozuzJwfwQ/9QcvM0972OrVxp3tCRKX8+4HlEBv7epowe6EdGZj479r9SyV26lsjUOQ8A2Le+ktY6CPxvILy+CPztdO3alZ9++omIiAhEIhHu7u6FZNavX09QUBCmpqbY29vToUMHYmNjAZDL5Tg7O7N48WK1NDdu3EAsFvPixQsAZs+eTUBAAMbGxri4uNC/f3/S09NV8mvWrEEqlRIcHEyRIkUwMTGhfv36REUVbJAgl8uZPHkyzs7O6OvrU6pUKY4cOaK6rikE5dChQ/j6+mJoaEiNGjUIDw9XK+eLFy9o0qQJFhYWGBsbU6xYMQ4dOvTZ7bjp4Ama16xEk+oV8XR2YGSPdhjo6bE/5KJG+V8HdOP7ulXxdXfB3cmeMb07olAoCL3zUE0uNjGZWWu2M/nHruhI1DfDUSgU3D2/jpLV++JWtBaW9n5UbT2drLRYIu4f/2B583IyOL1tGJWbT0bfsLAhWaxyF0pW64WtS0nVuZ179tGwXh3q16mFm6sLg37si76+PkeOafaK+vv60Kd7V2pU+w5dXc0vddMnj6de7Zq4u7ni5enB8ME/ERsXR2zkXRQKBTdPr6Ns3b54BtTC2tGPOh1mkJEay7Mw7fXzKF4T96LVkNq4Y2HrQcVGg9HVNyL6xS01OR09Q4zNbAoOo8IP9i37j9K0dlUa1/wODxcnhvfpjL6+HgdOnNWoe+KgPrSqXxNfD1fcnR0Y1a8bcoWCq2H3NMrbft+O+EP7SQw+RPaLcCLm/IE8Jxur+o01yhsXK076nTCSTh4jNyaatGuhJJ06jrFfUZWMXbuO5MXF8uKPaWQ+vE9udBRp10LJfPZSa5tpIi74DI8mzCFm74f70qdQtZQuR0NzufM8n6gEORuPZWNuLCLA88Mv+3I5pGUqVEeGhn12nKzF1City+YTOQDo+5ci5/pZcm6eJz8uiowDGyAvF/3SVTTq0C9dBZGhMWlbFiJ7+QR5cgKyF4/Ij4l8rzD5KNJTC45M5f1LoVBw+vB66rboTUBQTRzd/OjQfyqpSbGEXdU+YlCk1Hc0bPszJcrW1ipjJrVWO+5cO4Wxng4tAzxpVtwdTyszxtQug4GOhL13wrU3pEiEtbGB6rAyLmyox6Zl8fupm0xpUA4dibr5YdGgBamnjpB65hi5r14Su2oBipwczKrV1ahOnpFOfkqS6jAKKI08N4f0y8rfja69E4Y+RYhdtYCcZ4/Ji3pF7OqFiHT1kHgUZf2le7Qs7UPzUj542UgZ26giBroS9tx8orWK+XI5o3efoV+1UjhJ1Z0eEYmp3H4Vx+gGFSjuaI27tTljGlYgOy+fw3cLRkZaN3Vi3bYXnLucwNPwDH778wFWlvp8V0H7qGrxImacuxTPxauJRMfmEHIhnis3kyjio16G3Dw5icl5JCbnac3ra6IQib7K8V9FMMAF/nbmzp2rMmqjoqIIDQ0tJJOXl8evv/7KrVu32LNnD+Hh4XTt2hUAsVhM+/bt2bRpk1qajRs3UrlyZdzc3FRy8+bN4+7du6xdu5aTJ08yfPhwtTSZmZnMnDmT9evXc+bMGSIiIhg6dKhaWWfNmsXMmTO5ffs29erVo2nTpjx+/Fhj3V6+fEnLli1p0qQJN2/epGfPnowcOVJN5scffyQnJ4czZ84QFhbGjBkzMDEx+aw2zJPJePD8JWWL+6vOicViyhb3J+zxs0/KIzsnF5ksHzOTgp315HI5Exau5YfGtfFycSyUJi0pkqz0eBy9KqrO6RmYYuNcgtiIW4Xk3+Xi/l9x8auGk/eneWLyZDIePXlKmVIFBrlYLKZMqRLce/DwAyk/j4wMpdfRwMic1IRIMtPicPEtKKO+oSl2biWIDr/5SfnJ5fk8un6QvJxMHNxLqV17eG0/y8dWYOOMJlw4MIvsnBy163l5Mh4+DSeoRDHVObFYTNkSRbnzSLsh8C7ZuTnI8vMxMzEudE2ko4ORry9p198JD1AoSLt+FeOixQrJA2TcvYORrx9GfsoQHT0HR8zLVSDlSsGLnnmlymQ8fIDH+F8J2LEf/yWrsGrYRGN+3wIrMxHmxmIevSxwdWfnwosYOe72H37MWUvFTOpmxNjORvxQVx+pibpBoKsDneoZsCMkh7RMpYdSbGFL7rN3XngUCnKf3UfXWXMYkJ5fKWSRzzBu1AGLobMx7z8Jw+8aFop/lVjaYfHLTKQDp2HSsidic2XIR0JsJGnJ8fgWL/gdGhqZ4uZVgvDHH/4dfg5pyfHcvX6arDwZ5d0KPLxikYjybnbcjkrQmjYrV0bD5YdosOwgg/ee52m8utdarlAw9sgVOgf54mX93kibRAd9D28y79wsOKdQkHnnJgY+/nwKZtXrkX7xNIo3vzGRrtI7/m7YFAoFClkeMqk996MSKO9RcM8Ti0SU93DkdqT23VyXnrmNpbEBLUr7FLqWK1PuHKyvU+DEEItE6OmIuRGhdCY5qTxQmAABAABJREFU2hlgbalP6M0klUxGZj73HqVS3L+wk+Itd+6nEljSAhdH5Qu8t7sxJYqYc+laoppc6eJS9q+vyKbFZbXm9TVRiMRf5fiv8u+MAxD4V2Fubo6pqekHwze6d++u+t/T05N58+ZRtmxZ0tPTMTExoWPHjsyaNYuIiAhcXV2Ry+Vs2bKFsWPHqtK9O6nT3d2d3377jb59+7Jo0SLV+by8PJYsWYKXlxcAAwYMYPLkyarrM2fOZMSIEbRr1w6AGTNmcOrUKebMmcPChYWHyBcvXoyXlxezZimHjf38/FRG9lsiIiJo1aoVAQEBqvp9Lsmp6eTL5YVCTSzNTXnxOvqT8liwaQ/WFuaUe8eIX7fvGDoSMW3rV9eYJistHgBDEyu18wYm1mSla39QPbt9kITX92jSb/snlQ0gLTUNuVyOhVT94WwhlfIy8pWWVJ+HXC5n0fKVFCvqj5WDL1HPrwNg9F79jEysyXhTd23Ev37Ijrntkcly0NUzolH3BVjae6uu+5ZpjKmlI8ZmtiREPeL8/plMSr/GtOE/qWSS09KU36tU/eFraW7Oi1ef9r0uWr8dawupmhH/Fh1zc0QSHWRJ6g9qWVLi/7F33mFRXF0D/+3SlrL03juCDRF7VxSNNTGx9xZjiyUaNbZooibRxBY1log1drH3LrH3rggIKkjvsCy7+/2xuriyWGLJ+37v/J5nHuXOuffcOzM7c+bcc88gcdMdO5xx5CD6Fhb4z12ISCRCpK9Pyo5tPF23WiNj5OSMXZt2JG/eQNK6VZgEBOI2ZDgZN9N5vDryjfr9PpGaqA3Z5wbyc3LylZiblu1he/hUwbpDCpIzVFiYigivbsiw9sb8tC4f2TMn4qf1jIhNVHAjtsS4F4nFqHKztdpS5WUjstV9f9OzskXsVQ7ZtTNkr52LnrU9pi27gliPguM7ASh+FENu5J8o0p4iNrPAuGFrzHt/i14c5GSpr0UzC+3r1MzChpzMV1+nb8O5EzswMjKmsCC3VKiJtYkRcenZOut5WEmZHB6Kn60FuTI5qy7eo/f6o2zq2QwHqfqFP+L8XfTFIjpX8S1VX09qjkhPD0VWhlZ5cXYmJs5ur+23kbc/Rm6ePF0yR1NW9CQBeWoyNh17k7x8PkpZIVYt2mFgY0fq4zgUKhU2ZtpjtDGVEJeqO4zqcvxTIq/cZ8MA3S+anrYWOFmYMu/IJSa2rIWxoT5rztziaXY+qbkFoA/WVur1BhkveagzMos0+3SxZnM8piZ6rF1UDaVShVgsYsnqWA4eT9bInL2YzvG/U0l8WoiLk4QZ3+mO7Rf4z0EwwAX+I7h48SJTpkzh6tWrZGRkoFSqvQnx8fEEBQURHBxMYGAg69atY+zYsRw/fpzk5GS++OILTRuHDh1ixowZ3Llzh+zsbIqLiyksLCQ/Px8TE/VDwMTERGN8Azg5OWlCXbKzs3ny5Al16tTR6ludOnW4elW3l+n27dvUqFFDq6xWrVpafw8bNoyvvvqKAwcOEBYWRvv27alUqfTioefIZDJkL3lKi+TvNqW4cvsBDp6+yKKJwzEyVHuGbsfEs37fUVZPH4vomSeuoFDGgr8iWbxxJ3KVPk17LHpVszrJzUzkzK4ZNO+z/LUx4h+bMROmcPX6dQwNjbj3bQit+y9+faUysLL3otM32ygqzCH66n4OrhtL+yGrNUZ4hdodNbK2zgGYmNsRubAXj5KScXW0L6vZt2LV1t0cijrH799/qzmv74pZ5So4dulOwrzZ5N2+hZGzK26Dv0beLZWkNSvVQiIx+ffu8GT5EgAKou9j7OmFx4BOH8UAd+7cmooLvwcgzNCEJTvLXsD2Km4/LDGqE9PgYVIBk3qZEuynz9lbxZT30sPPVY9f1utelPnGiEQo87LJ27kKVCoUiQ8Rm1tiXDtcY4DLo0sWr+45e4mfZy5FZGCIQgX9Ri8sq+X3yrnj26hYLYzzJyLfql5lZxsqO5e8HFRytqF9xH62XIthUJ0K3HqawV+X7rOuW5jmXvM+sWjYDFl8rPaCTYWCxN9+wGHA1/gs3YhKoSD/xmXyrpwHUdkLc3WRJ5Pz3fZTTGpVC6syYuAN9MTM/qIRU3ZGUX/WevREIr7u052rV/4EQIkhY6aWXgPyJjSua0fTBvZ8P+s2sfH5+HmbMqyfL6npRew78hSAwydLHCIxD/P+kZ63RfgQz7shGOAC/zp5eXmEh4cTHh7O2rVrsbOzIz4+nvDwcIqKSqYPu3btqjHA161bR/PmzbGxUd/04+LiaNWqFV999RU//vgj1tbWnDp1ir59+1JUVKQxwA0MtI0UkUiESvV2N+O3pV+/foSHh7N7924OHDjAjBkzmD17NkOHDtUpP2PGDL7//nutstH9uqInFpOepb3AKz0rBxvLsqcuAdbsOsTKHQdYMH4ofh4umvIrd6LJyM6lzdCJmjKFUokIsJSa0aD3BhTF6uNfkJuGiXmJ0ViYm4q1U6BOfWlPblKYl8b239trylRKBUlxF7h9Zh09v7+KWKxXqp7UXIpYLCYjU9sDlZGZiZWV5SvH+CbMX7SEhEeP+eWHqdjZ2XIozkczvvzcNEwtSsaXn5uKnbPu8T1HT98QSzu1F9nerQJP429w5cQqGneYqlPe0V390vUo8anGALeUStXnNVPbs5ielVXKK/4y67bvZc223cydPBpfT91ewuKsLFSKYvSttLNX6FtZI0/XHU7g3Lsf6Qf3k7ZnFwCFsTHoGUtwHzGGpLVqA1KenkbhwziteoXxDzGvUV9Hi++fpzuPkHlO/VIcNT4SfT21ISA1EZH9ghdcaiLmccorVmC+REERpGQqsbNQT4v7u+phYyFixgDt8B6VSoVpm55kLZysKROZmqPK1e09VeZkoVIq4IV7jSIlEbHUEvT0QKHdx7ou1pS3qYJZx0E8ETtx77H6hTw3Kw0Lq5IsHblZaTh7ll7g/E94cOciyU9i6TpoOpdObic9XzsYPj1fpjOuWxcGemLK2VuSkKk2BC8/TiU9X8YnS0vWvihUKn47fpV1l+6zNNANlUKBnoX2ImJ9c0uKs7Rnb15GZGSEWa0GpG9eU2qfLC6a+PFDERubINLXR5GTjdv3v2FRmImeSERarvYY0/IKsTUrvU4jISOHJ5m5fL3+iKZM+excVv1hFZGD2uFmbU6Qkw0bB7Qhp7AIuUKJtYURo/r1xNfBijO5fTA0UF9XVpYGpGWUPNusLA2JjsmlLAb19mbt5gSNkR3zMA9HOwndv3DXGOD/Bv/L4SPvA8EAF/jXuXPnDmlpacycORM3N7UhceHChVJyXbp0YcKECVy8eJHNmzezeHGJ9/LixYsolUpmz56NWKy+KWzcuPGt+mFubo6zszNRUVE0aNBAUx4VFUX16tV11gkMDGTHjh1aZWfOnCkl5+bmxsCBAxk4cCDjxo1j6dKlZRrg48aNY+TIkVplhbdOEf04mfM37tKwmjpGWqlUcuHmXb5o1kBXM4A6xGRF5D7mjRtCkI92yEGLetWpXlE7vnLYjAW0qFed1g1qsbdQneHD2MyWJzFnsHlmkBYV5pLy6BrlanTSqdPZpxafDtuuVXZyy3dY2HlRqX4/ncY3gIG+Pv6+Ply6eo06tWpoxnj56nXatmpR5hhfh0qlYsHipZw6fZbZM6bh6qKO+7TMU4/PRGpHwr3T2LmUjO/pw2tUrN35LRUpNQa9LlIeq7MT2L7wMmFgoE+AjycXr9+iQY0Q4Nl5vXab9i2a6GoGgDWRe1i5ZRe/TRxFoK9X2V0qLib/3j2kVaqSFfVsUadIhLRKVVIit+qsIzaSlHopVSmUmrqoVOTduI7EzV1LxsjVjYL49xMq9DoUuXnk56qNO3WaQRVZeUr83PR4nPosFtcAPBzERF1/89kjQwOwsRCTfacYgEMX5Zy+WawlM7arCcqsNIqfPCwpFIkw8C5H4bmjOtuVJ0RjVLGG5vgB6Nk4oMzJLGV8A5ga6GNqaopVxWAKUyU4ihRILW25d+MMLp7q32xhfi4PH1yjdtMObzy+V3H26FZcvYJw96lIoIMl5+KTaeSrfmFXqlSci0+mY7DPa1pRo1CqiE7Npo6XOiSnZaA7NV7KGjJ4y0laBnnQprwn3IhGFhuNSfnK5F18ttZAJMK4QjBZB3a+UpdZjXqI9A3IjjpSpoyyQD2DYeDgjJG3L0VHNxLoZMO5uEQal3MvGWNsIp2qlY4597K1YPOX2ikiFxy9TH6RnDHh1XG00H5Bk0rU4SQPn6Zy5OI1PuvchC331cZ+arqM0MpWRMeqr18TYz2C/M2J3POkzP5LjPQ0Bv9zFEoV4n/ZAf2/vIDyfSAY4AL/Ou7u7hgaGjJ//nwGDhzIjRs3mDZtWik5T09PateuTd++fVEoFLRpU3JD9PX1RS6XM3/+fFq3bk1UVJSWgf6mjB49msmTJ+Pj40NwcDArVqzgypUrrF27Vqf8wIEDmT17NqNHj6Zfv35cvHiRiIgILZnhw4fTokUL/P39ycjI4OjRowQGlu1dNTIywshIO3RDZWhIl5ZN+H7RKgK93Z+lITxCgUxGqwY1AZi8cCX2VpYM7qxOebVyxwGWbNrNtCG9cLKzJvWZZ9lEYoSJRIKl1AxLqfZiUH09PWwszPFwdoAY9QxB+To9uHp0MRY2HphZuXLp0DyMpfa4B5ZkVti7vDceQWEE1eqKgZEpVg7aebv1DY0xMrHUKs/PSaEgJ5XsNLUhExv3kLq1a7Jy7XoC/HwI8Pdj6/ZdFBYW0jxMbYzOnD0XWxtr+vXqDqhj+h8mqDNJFBcXk5qWRnRMLMYSCS7OTgDMW7SEI8dPMHXCOExMjEnPUMeZFhcVom8oIbhBDy4cXIylnSfm1i6c2TsPU3N7vCuWjG/bwl54Vwyjcr1uAPy9azYegfWRWjlRVJjHvUu7ePTgHG2/XAZAVmo8dy/twjOwPhJTS1Kf3ONk5AyCgwJKeas7tW7GD/OXUc7HkyA/bzbsOkChTEarxuqMGlPnLcXO2pKvuqnDrVZv282y9ZFMGf4lTna2pD1L/WcsMcLEWEfmic3r8fj2O/Lv3SH/zm3s2ndALDEmbf9uADy+nYA8NYUny/9Q9/10FPafd6Qg+p46BMXFBafe/cg6HaVOGQIkb9lAwLzFOHTpTuaxI5iUC8K2ZRuufTmxlP5XoWdqgqlviSFv4uWKeeVyFKVnUZiQ+IqapTlxRU6zUENSMpWkP0tDmJWn4npMiQE9qJ2EazEKTl1TG+Vt6hhyM7aYjBwV5qYiWtQwRKWCi/fU+59nRnkZ2c0LGNdoQnHsHYofxyKpGYbIwAjZ5SgAzD7tgzI7k/zD6pcc2fljSKo3xqR5JwrPHUHP2h7jei0pPFuSwcSk2RcU3b2KMisNsdQS44ZtQakkMUOJSCSiQYvuHIxcgp2jB9b26jSE5lb2VAwteVFb+ENfKlZrQr3wLmq9hfmkJpXkik5LeczjuDuYmFlgZeukKS/Mz+Xq2QO06apekN61qj+T950nyMGK8o7WrLt0nwJ5sdpYBibuPYe9mTFD66nXtSw5fYuKTta4WZqRI5Oz6sI9ErPz+LSi+uXQ0tgIS2Pte5q+nhgbUwme1lKeABl7t+Hw5UgKY+9T+OAeVs3bIjYyIvv4QQAcBo6iOCONtA0RWu1YNGhG3sXTKHNLp380q14XRU4W8tQUjNw9sev+JXkXzqCXGEv3mkFM3H6KICcbKjjbsvbcbQrkxbStrA4hmxB5EnupCcOaVMVIXw9fe23v/HMj+8XyA7fisDKR4GRhyv3kDH7ef45GAW7U9nGBZz6lTTse07OjOwlPCtRpCLt5kpYu4+SZklj+OT9U4sTpVLbuVhvlUefT6NHBg6cpMmLj8/D3NqNjO1f2HFSvEzGWiOnd2ZPjf6eQllGEi2PZaRQF/nMQDHCBfx07OzsiIiIYP3488+bNIyQkhFmzZmkZ2M/p2rUrgwYNokePHhgbl9xkKleuzK+//spPP/3EuHHjqF+/PjNmzKBHjx5v1Zdhw4aRlZXFqFGjSE5OJigoiB07duDnV3rVO6hfHrZs2cKIESOYP38+1atXZ/r06VqLShUKBYMHD+bRo0eYm5vTvHlzfvvtt7fqF0DTWlXJyM5hyeZdpGXm4O/hwtyxgzUhKE9TMxC/4JHYevAk8uJixs5ZptVOv/afMODzlm+st2K9fhQXFRAVOZmiwmzsPUII77VEK747Jz2ewvyMV7RSmjvnNnDlSMnC1hFjvwOgScP6RKxZT0ZGBj7eXsyYOkkTgpKckoL4BbdPWnoGA4eVzBZs2rqdTVu3U6lCeX6d+QMAO/eo00iOGqdtHIZ1nk5g9c8IadwPeVEBRzdOQlaQjZNXVdp8uVRrfFmp8RTmlYyvIDedg2u/JS87BSNjKTZOAbT9chnuAer1A2I9AxLu/c3V4yuRFxVgZumEb6Vm/NSnaqnjEFanBplZOSxdH0l6ZhZ+Xu78OmEk1s8Woz5NTdM6r9v2H0VeXMx3s7QXBffp0JZ+HduVaj/j2BH0LSxx6tUPAytrCh5EEz12FMXPXkQM7R1ApdTIJ65ZiUqlwql3fwxt7SjOzCTrTJQm3hsg/+4dHkwej0vfL3Hq3ouixEQeLZzHk79e7a18GYuqFah1uGRxZ9As9YeaElZt5VrfcW/V1uFLcgwNRHRsZISxkYiYRAV/7CjQygFuayHGTFIyVkszET3CJZgai8gtUBHzRMFvG/N1piJ8keKEaPKz0jBu1BaxmTnFSQnkrJmDKk8dSiS2sNGaRVBmZ5Cz+jdMmnfE8qspKLMzKDx7iIJTezUyYnMrpJ8PUH+kJz+H4vhospZNp6ieOqSpces+FMkK2LhsCgX5OXgFhPDl2MVaOcBTnyaQl1NynSbE3OD3aSX3ou2rfwagWv22dPnqR035pdN7UalUhNT5BIDwADcy8mUs+vsWafmFBNhZsOCzupoQlKScfK1rMltWxLSDl0jLL8TcyIBABytWdG6Et82rw6heJPfMCfSk5th83l39IZ6HMTz+aRKK7EwA9G3stK5TAAMnF4zLVeDxjO90tqlnZY1tt/7oW1hSnJlB9snDpG/7C9dmNQkv70VGfiGLjl8hNbeAAAdrFnYJw+ZZCEpidt5bx6un5hYw++B50nILsZMa06qiDwPqa6/3WbslAYlEjzFD/DEz1ef6rSxGTb6ulQPcxdEYS/OScMnf/oimf1dPRn3lh5WFAanpRezYl8iK9WrnhUIJPp6mtGjsgJmpPqnpZc/EvU+EGPB3Q6T60AGwAgIC70zWpXfPk/y2LI5p/Hqh90iXync+qr7t918d4/0h6OyuO2f7h+Lh12NeL/QeSTxRdmacD8XBXy9+VH0T04Z/VH1n27z9Quh3pcH5KR9V35MTlz+qPtcWuvO1f0iabqjzeqH3yKmdZYcmvi8S7uv+9sDb4uYX9Hqh/4cIEfQCAgICAgICAgICHxEhBEVAQEBAQEBAQOCtEEJQ3g3BABcQEBAQEBAQEHgrhDSE74Zw9AQEBAQEBAQEBAQ+IoIHXEBAQEBAQEBA4K0QQlDeDcEAFxAQEBAQEBAQeCuEEJR3Qzh6AgICAgICAgICAh8RwQMuICAgICAgICDwVgghKO+G8CEeAYH/AvZd+ThfNnuRegV7Pqq+AqnDR9Vn9vT+R9UHsNWo+0fVF/1Q8Xqh90h6+ms+IfkBaDqy9NdFPyTRWz/uB6O+8L/+UfUBHEup+FH1Xb31ca8bP5+P/6n2ronTP6o+427jP7iOBzEx76UdH2/v99LOfxuCB1xAQEBAQEBAQOCtUKkED/i7IMSACwgICAgICAgICHxEBA+4gICAgICAgIDAW6ESfLjvhGCACwgICAgICAgIvBXCIsx3Q3h9ERAQEBAQEBAQEPiICAb4fxAqlYoBAwZgbW2NSCTiypUrNGzYkOHDh//bXXtr4uLiNGMoi2PHjiESicjMzHwvOqdMmUJwcPB7aetdEYlEREZG/tvdEBAQEBAQ+CCoEL2X7X8VIQTlP4h9+/YRERHBsWPH8Pb2xtbW9t/u0j/Gzc2NxMTE/+ox/CeiUqnYu+l3Th/eQkFeDl4BwXzRbyL2Th5l1om+dYEjOyNIiL1FdkYKfb+ZQ6VqTUrJJT2KYee634i+dQGlUoGvsw0NggOJPHGBtKwc/N2dGNOtLRW83XTq2XrsLLv+vsSDR08BCPR0YcjnzbXk07JymLdxL6dv3iM3v5Aq/l58260t7o4l18mWvYdYt30v6ZlZ+Hq6M6JvN4L8dKepiol/zLL1W7kbE0dSShrDenemY6twLZm8ggKW/rWVE2cvkZGdjb+XB8P7dKGaVL1//fELrDx4htTsXPxdHRjboRkVPV106jt0+Q7L90eRkJKBXKHEw96K7k1q0rqGdtq2mMRU5kQe4eL9eIqVSnwcbZk9oD04qferVCqObZ/PpRObKMzPxs03hJbdJ2Pj4KlTL8DJ3X9w59JBUhNj0DeU4OZThbAvRmHrqH1sEqIvc2TbHB7HXEOFGCvHcjTuuoSwqiZU8RUhMYCEFBV7zitJzylTnRZ1gkQ0qaLHmTtKDlxUasp7hOnh6fDiA9SMqOtyNh2T0aKGITXL62NsJCI2UcGmozJSs8rOetu8uiHNaxhqlT3NUDJjTb5O+S/bSAj00OfCsSY83XH4jcZhXTcU71F9sQipgMTZngvtB71x3ZdRqVSc3z+fW2c3ISvIxskrhPqfTcbSzrPMOjf+/osbp/8iJ/2xuj+OvoSGDcYjsD4A2emPWDM9TKvOwmf/tghrzKVr10nPyMTHy4NhA/oQ6O+nU09sfAIr1m7g3oMYnianMLhvLz5v27LMfq3bvI2lq9bRvvUnDOnfW2uMH+s6tbALoHb7hegZSLTkmlbVp3qgPsaGEJekZNspOWnZZV9HYVX1aVrVQKssOVPJ7I2yUrIqlYqoXfO4FqU+h87eITTrPAUr+7LHd/nEOq6c+IvsZ+fQxsmP2p8Mwrt8A43M1VMbuH1+F08TblJUmMfQWecBWH/+DitP3yAttwB/B2u+bV6dii52Zep6zr4bsYzddoKG/m7M6dhYU56WW8Ccwxc5E/OEnMIiQjwc+Da8Bh425q9t833wv2w8vw8EA/w/iAcPHuDk5ETt2rX/7a68M3p6ejg6Ov7b3fh/x+Edf3Ji7zq6DvoBa3sX9mxcwOLpXzJu9nYMDI101imSFeDi4U+NRp/y5+zhOmVSkxKYO7kHNRt9RosvBiExNuPhvpks23GE8b0+paK3O2sPnGLwrOVsm/kN1uZmpdq4eCeG5jWCqdzVA0MDfSL2HGPQL8vYPH0k9lYWqFQqRs5bhb6eHr8N64mpsYQ1+08w8JelbJk+CqRwKOos8yPWM/rLngT5ebNx1wFGTpvFX/NnYmVR+qEiK5Lh7GBH49rVmLfiL51jm7lwBTHxj5g0bAC21pbsP/E3X3//C9sm9ONy9CNmbTnEhM4tqOjpzNoj5/hq/nq2TxmIjdS0VFsWpsb0a14HLwdbDPT1OHH9PpNX78RaakKdIB8AElIy6PXrKj6tVZmvWtXHTGLEg8QUDA1KbrdRe5dx9tBq2vWdiZWtK0cj57Lm134M/mE3+ga6z+PDe+ep1qgLzl4VUSoVHNnyG2tm92PQD7swNDJR646+zNo5/an7yQBadJnAoyQRGU/vUq+iIdUDRESeVpKZq6JRJTFdG+mxcJcChVKnOg3O1hDiJyYpQ7fRc/G+kmPX1I1kZsookqtoEmJA/coGrD1YSFq2ik9qGjKwrTEz1+ZT/IrU5IlpChZGluSEVip162wQbMA/+YKFnqkJ2dfukhCxhdDNv799Ay9w+egyrp1aTZNOM5Fau3Ju/1x2Le1Hp9Fln0MzCwdqfTIKC1sPQMWdC5HsjRhMhxFbsXb0w8zSiV6TTmpXip7P2k3bOHjsBCMHDSDQ35fNO3YzZvKPrFo0FytLi1J6ZDIZzo72NKxTi9+XR7xyHHfuR7Nz30G8PUu/xH+s6/RerILslLvw0qfNG1TWp04FfTYeKyI9R0WzUAP6fmLIr5tkr7yOktKVLN1dYnAry7jGzx1cyqVjq2nRYyYWNq5E7ZrLpvl96TNpT5njk1o60qDdN1jZe6BSqbh5JpJtiwfTc9w2bJ3VL0TyogK8gurhFVSPE9tnA7D/ZiyzD57nu09qUtHFjrVnbzFo3SG2D2qHtWnZeckfZ+by66ELhLjba5WrVCpGbDyKvp6I3zo2xszQgNVnbzFw7QG2DmzLx890LvC2CCEob0jDhg0ZNmwYY8aMwdraGkdHR6ZMmaLZHx8fT9u2bTEzM8Pc3JwOHTrw9OlTzf7n4RGrV6/G09MTCwsLOnXqRE6O2gXVq1cvhg4dSnx8PCKRCE9PT539WL16NaGhoUilUhwdHenSpQvJyckAKJVKXF1dWbRokVady5cvIxaLefjwIQC//vorFStWxNTUFDc3NwYNGkRubq5GPiIiAktLS/bv309gYCBmZmY0b96cxMREjYxSqWTq1Km4urpiZGREcHAw+/bt0+zXFYKyZ88e/P39MTY2plGjRsTFxb3x8X/ep8jISPz8/JBIJISHh5OQkKDzGOk6xs/7PWPGDLy8vDA2NqZy5cps3rxZs/95WMzhw4cJDQ3FxMSE2rVrc/fuXS0dixYtwsfHB0NDQwICAli9enWZfS8qKmLIkCE4OTkhkUjw8PBgxowZbzz256hUKo7vWUOzzwZQsVpjXDwC6DZ4OlkZKVw/f6TMekFV6tGy0zAqVy/t9X7OrvXzCKpSj7bdRuLqFYitoxuX7sbyacPqtK1XDW8XB77r+SkSQwO2nzivs40fB3amQ5NaBHg44+Vsz6Q+n6NSqTh3KxqA+KepXH8Qz/ie7Sjv7Yankx3je3yKrEjOvjNXANiwcz+twxrQsnE9vNxcGP1lT4yMDNl1+IROnYG+3gzp2YmwujUxMCjtT5DJijh+5gKDe3QguHwArk4O9O34Ka6O9mw6cYnVR87yWZ1g2tWqjI+THRM6f4LEUJ/Iv6/q1FfN34MmweXwdrLFzc6Kro2r4+diz+UHJdfh/B3HqFvehxGfNSHQzRE3OysaVvLXGPQqlYqzh1ZRv9VAylVpgoNbAO36/kROZjJ3Lh0q8xx1G7GM4LqfYe/ih6NbOdr2nUFW+hMS425qZPZvmEn1Jt2p+8kA7F38MLf1wqN8c2oGGXDyhpJ7j1QkZ0LkaSVSEyjn9moPloE+fFpHj11nlRSW8S0ouQLyCtVbTr4KmRzqBxtw4HwRN2IVJKYpWXuwEAtTERW9X+3zUSrVbTzf8nR8n8XFVkyjKgb8dbi0R/N1pOw/wb3Jc3i6vezj/CaoVCqunVxF1bCBeFVogq1zAE06/URedjKxN8pu27N8YzwCG2Bp54mlnRc1W4zAwNCEpIfq600s1sPE3E5rO3X6HCbGElo1a0KLsEZ4ursxctAAJEaG7D2k+3dfzs+Xgb170Lh+HQwMDHTKABQUFPDj7Hl8M2QgUjPtF86PeZ1KrT1xCQhHT197BqRuRX2OXC7m1kMlSekqNh4twtxERHlPvTL1g/o6yi0o2fJ1XCoqlYqLR1ZRs/lX+FUOw961HJ/0/JncrGTuXy17fL6VGuNdoQFW9p5YO3hRr+0IDI1MeBJ7RSMT2rgXNcIH4ORVWVO2+swtPqviR7tgP3zsLJnQshYSAz0ir0SXqUuhVDJ+2wm+ahCMi6VUa198ejbXHqcwvkVNKjjb4mlrwXef1KRQrmDvzdhXHp/3hRCC8m4IBvhbsHLlSkxNTTl79iw///wzU6dO5eDBgyiVStq2bUt6ejrHjx/n4MGDxMTE0LFjR636Dx48IDIykl27drFr1y6OHz/OzJkzAZg7d67GoE1MTOT8ed1GjlwuZ9q0aVy9epXIyEji4uLo1asXAGKxmM6dO7Nu3TqtOmvXrqVOnTp4eHho5ObNm8fNmzdZuXIlR44cYcyYMVp18vPzmTVrFqtXr+bEiRPEx8fzzTffaPbPnTuX2bNnM2vWLK5du0Z4eDht2rTh/n3dXxdMSEjgs88+o3Xr1ly5coV+/foxduzYNz/4z/r0448/smrVKqKiosjMzKRTp05aMq86xgAzZsxg1apVLF68mJs3bzJixAi6devG8ePHtdr57rvvmD17NhcuXEBfX58+ffpo9m3bto2vv/6aUaNGcePGDb788kt69+7N0aNHdfZ73rx57Nixg40bN3L37l3Wrl1b5gvWq0hLfkR2Zir+FWtqyoxNpHj4ViT2vm6D8U1QKpXcunwCeycPFv34Jd/1b8Ds8Z24FfuIGkElU9xisZga5X259iD+jdotlMkpVigwN1V7vYrkxQAYvmAQiMViDA30uXIvDrm8mLsP4qhWKUhrf2il8ty49+Afja1YqUChVGJooP1gNzI05GJ0PLfjE6kZ4PWCPhE1y3lxLfbRa9tWqVScvRNL3NN0qvq6A2qP7ckb0XjYWzNw/l80HPMbXX9ewZErJS9wmamPyM1KwTuoZKZLYiLF1bsSCQ+uvPHYZPnqF0tjU7UHNC87jccxVzE1t2b59E7MGlGHgxE9UWTfQGosIiapxGUsk8PjVHC1ffXD75NqYu4/VhGbVLa7uaKniG/a6zGwpR6tahniYCXCwlTMvYQSF2VhETx8qsTT8dWPHFtLMd/3NmFCDxO6NTPC0ky7fwb60D1cwuZjMnLy/72POGenPyI/JwU3v5JzaGQsxcG9EkkPr7xRG0qlgvuXdyMvysfRI1inTPKjG0THxpGTm0fV4EqacrFYTEjlSty8c+9dhsGcxcupGRqi1fZzPuZ1enJDX9IeXdaqZy0VYW4i4v7jF64jOSQkK3G3f811ZCHiu64SxnQyolMjAyxNS1/nWWmPyMtOwaOc9jl08qzMk5jLpeR1oVQquH1BfQ6dvauUKacolnM7MY0aXs6aMrFIRA0vZ649Simz3h8nrmFtKuHTKqVDjYqK1W59I/2SlxGxSIShvpjL8clv1P93RaUSvZftfxXBAH8LKlWqxOTJk/Hz86NHjx6EhoZy+PBhDh8+zPXr11m3bh1Vq1alRo0arFq1iuPHj2sZ0kqlkoiICCpUqEC9evXo3r07hw+r4w8tLCyQSqWa0A07O91xYX369KFFixZ4e3tTs2ZN5s2bx969ezUe7K5duxIVFUV8fLxG5/r16+nataumjeHDh9OoUSM8PT1p3LgxP/zwAxs3btTSI5fLWbx4MaGhoYSEhDBkyBBNXwFmzZrFt99+S6dOnQgICOCnn34iODiYOXPm6Oz3c4/x7NmzCQgIoGvXrpoXhzdFLpezYMECatWqRdWqVVm5ciV///03586de6NjLJPJmD59On/++Sfh4eF4e3vTq1cvunXrxh9//KGl68cff6RBgwYEBQUxduxY/v77bwoLCzVj79WrF4MGDcLf35+RI0fy2WefMWvWLJ39jo+Px8/Pj7p16+Lh4UHdunXp3LnzW40dICczDQCphY1WudTChpzM1Ldu7zm52enICvM5tP1PygXX4avv/sC/Qk2UKhUpmVlastbmUtKy3ixweN6mPdhZmlMjyBcATyd7HG0sWbBpL9l5+ciLi4nYfYyn6VmkZGWTmZODQqnE+qUpdWsLc9Jf6sebYmpsTIUAXyI2byclPQOFQsn+439z4140TzNyUChV2Jhre/5spKakZueV2WZOQSE1R/xM6NCZDFm4gbEdmlErUB3fmp6TR76siD8PnKZOkDeLh3amceUARi7dzIV76hmo3Cz1A9fUXPs8mprbkpf9ZudRpVSyb/103HxDsHf1ByAjRe2FP759ASH1v6Dr8KVYOwVy76T6uswr0G4jt1CF2Svmqct7iHC0FnH4StkxKjfilET+rWTVYQWnbioJLafP5w3VU/cvG8g5+UrMdRhCz3n4VMG6Q4Us3lHI5mMybMzFDGtvjNELDtxP6xkRm6jgRuwr4g8+Avk56nNoLNU+h8ZmtuTnvPocpiXeZcn4EP4YW4njW6bQotcCrB19dcrePrsFF2dHlEplqVATK0sL0t9hAfuRE1Hcj4mhf48uOvd/zOvU0r4cUZsHkJvxUFNXaqK+VnJfuo5yC1RITcrWmZCsZOOxIpbvlRF5So61VMTANoYYvjQRkFfm+GxeO76Ux3eZM6IKvw6ryMG/JtNuwO/YOuk+hwAFeZkoVCpszLTj221MJaTmFuisczn+KZFX7jOple6QVE9bC5wsTJl35BLZBTLkCgUroq7zNDu/zDb/P/H777/j6emJRCKhRo0aWnaALjZt2kS5cuWQSCRUrFiRPXv2aO1XqVRMmjQJJycnjI2NCQsLK9Oh+L4QDPC3oFIlbS+Bk5MTycnJ3L59Gzc3N9zcShabBQUFYWlpye3btzVlnp6eSKXSUvXfhosXL9K6dWvc3d2RSqU0aKBe+PHc4A4ODiYwMFDjBT9+/DjJycl88cUXmjYOHTpEkyZNcHFxQSqV0r17d9LS0sjPL1nsZGJigo+Pj86+Zmdn8+TJE+rUqaPVtzp16miN90Vu375NjRo1tMpq1ar1VmPX19enWrVqmr/LlSv3Vsc4Ojqa/Px8mjZtipmZmWZbtWoVDx5oe1hfPNdOTuqVc8/buX379luNvVevXly5coWAgACGDRvGgQMHXjlOmUxGdnY2GzZsIDg4mODgYEb3qI5CIX9lvX+K6lmAZIXQhjRq2QNXz3LUb65+KB+9ePNVVctkxa6j7D97lVnDemD07MlnoK/HrKHdeZiUSsPB31N7wETO335AnUoBiEUfzgsycdgAVCpo138EjTr1Y9Oeg4TVrfmPdZoaGbFxXD/WftubIW0aMnvLIc4/M66VzwKTG1Xyp3uTGpRzc8TRyhyRSMSAeWuZPigEhaL4nce0e+1Ukh/f5/Mvf9WUqVTq8zhoxGSmj27PsE5BbFr+HRY2uhfNvgpzEwivKmZb1KtjxC9FqzA2gj7N9GhVXYypRISf6z9bWnT7oYKr0eqQlTvxCpbsKMDYSESwn7q98l56+Lnqse3k24eevCsXzWCsp3pbMj4E5TucQ0s7LzqO3Eb7YRsoX7sTh9ePJT2pdBhCsbyQ+5d30aRe3X/e8TJITkllwdIVfDfyawwN1bNDGZlZRO7ZT4sO3T7KdVq1QUeq1G2Pk0cQFRuN5vOOvZj1tTdTe0uY2luC+B9aJ3cTlFyPVYes3Huk5M99RRgbiVCl7GXnvFrsnFeLOSOqvNM5tHbwoue4SLqN2Uhwvc7sWfUtqYllh5K8LXkyOd9tP8WkVrWwMpHolDHQEzP7i0Y8TM+m/qz11JyxlvMPk6jj6/JB76cv8m+FoGzYsIGRI0cyefJkLl26ROXKlQkPDy/Tnvr777/p3Lkzffv25fLly7Rr14527dpx48YNjczPP//MvHnzWLx4MWfPnsXU1JTw8HCN4+1DICzCfAtejqUTiUQoy1rd8QHq5+XlER4eTnh4OGvXrsXOzo74+HjCw8MpKioJ0OzatSvr1q1j7NixrFu3jubNm2Njo37Lj4uLo1WrVnz11Vf8+OOPWFtbc+rUKfr27UtRUREmJiZl9lX1T1Y9fWRedYyfzxLs3r0bFxftLBdGRtoLbl5sR/TsZvY25+pFQkJCiI2NZe/evRw6dIgOHToQFhamFXv+IjNmzOD7779HJBKhr6/+ibbpNAhTqRUAOVlpWFiVzJDkZKXh4lnuH/UNwNTcCrGePo4uPlplIhE8Tdf2PKdn52BjIX25CS1W7T3Oit3HWDymP/5uTlr7gjxdWT9tODn5BRQXK7AyN6PH1AUEerpiKZWiJxaX8nanZ2WX8oq/Da6O9vw+bRwFhTLyCgqwtbJk4uyFuNtZ8SQ9k7SXvN1pOXnYmpdegPkcsViEu701AOXcHIlNSmX5/r+p5u+BlZkJ+mIx3k4lWV0aVvKjXa3K3I5PIuyrlRQXq3+redlpSC1LFlblZafi4Bb42vHsWTuV+1eP0evbNZhblyx0NrNQt/UoDfY+m0F/+FhBsUi9eNXUGHJfeJaYSURlLqx0shZhZixiQIsXprfFIjzsobq/Hj+uV2gWQd57pOKPVLVHOj9Xxrdd1cdOaiIi+wXvpdREzOOUN/dcFxRBSqYSOwu1JebvqoeNhYgZA7TPTdWN80k/dYEzYT3euO23pXweuD87dvELt6F4dg4LctIwNS85hwW5qdg4v/oc6ukbPluECfauFUhJuMG1U6to+PlULbkH1/ZTLC+kVfMw1mzaSsZLv4uMzCysLS3/0XjuPYghIyuLASNKQg+f39+USiWDftiNUqE+Vx/qOrVz1vYYX7qZxICvf6ZiI3Wo4/PICjMTETkFJdeRmbGIJ2lv/iwqLIKUTBV16jYmQ1UeAE93ieYc5mWnafr0/G9711ffT/X0DbGyV59DR/cKJD68zsWjqwjvMlWnvLGpJXoiEWm52sZcWl4htjqmoRIycniSmcvX60ti/J+/3Ff9YRWRg9rhZm1OkJMNGwe0IaewCLlCibWphG7LdxPkbFOqzQ/BvxW//euvv9K/f39691Zn7Fm8eDG7d+/mzz//1BnaOnfuXJo3b87o0aMBmDZtGgcPHmTBggUsXrwYlUrFnDlzmDBhAm3btgVg1apVODg4EBkZWSrU9X0hGODvgcDAQBISEkhISNB4wW/dukVmZiZBQUGvqf3m3Llzh7S0NGbOnKnRc+HChVJyXbp0YcKECVy8eJHNmzezePFizb6LFy+iVCqZPXs24mcuhpfDT16Hubk5zs7OREVFaTzwAFFRUVSvXl1nncDAQHbs2KFVdubMmbfSW1xczIULFzQ67t69S2ZmJoGBr38YgHpWwsjIiPj4eK1+vy2BgYFERUXRs2dPTVlUVNQrz7W5uTkdO3akY8eOfP755zRv3pz09HSsra1LyY4bN46RI0dqlR27I8LAwBBzS1vuXT+L6zODuzA/l4fR16nbtGOpdt4UfX0D3H3Kk5wYp1VmZmysuemD+sF87lY0HZuUnaUnYs8x/tx5hAWj+hLk5VqmnNRE/dCJT0rlVuwjvvqsGQYG+gT4eHLh+i3q16iq0Xnx2i3atyh7AembYiwxwlhiRHZuHueuXGdEu4ZkFRRy9m4cjYMDnulTcfZuHJ0ahL5xu0qVCnmx2ptmoK9HeQ8n4p6mafabSozIyM3H08EGawd15gQzCztibp/G0V197coKcnkUc43QhmWHJqlUKvaum8adS4foOWYVVnbax9fS1gWppT1PEu5rDO2MXLhx9QwZmbl4ORjz9JnBbagPLrZw4b5uQyY2ScWiXdoewja19EjLVhF1U6mVgaSoGIqereG2MHoWNlCgws9Nj8epz+JUDcDDQUzU9TefxTE0ABsLMdl31P04dFHO6ZvafRrb1YRb38zg6S7d6y/eFxIVSJ6pzrJVn0MTqR2P7p/G1kV9DosKc3kaf43ytd4uvEylVGqMwRe5fXYznkGNsLOxwd/Xm0tXr1O3pvrep1QquXTtOp+2bP6PxhNSqSJ/zp+tVfbT3IW4uzrTuX07Hpp4f/DrNDVJe6FgypN7iI3qaKUYzM5X4eusR2Ka+uAbGYCbvZgzt9/iOtIHG3MRRSoTzKzUazWs7I1RqVSYmtsRf/e05oVCVpBLYtxVguu/ZYigSvc5fI6evgGBTjaci0ukcbln60VUKs7FJtKpWmlj38vWgs1fttEqW3D0MvlFcsaEV8fRQvslVCpRz2I8TMvmVmIagxoGv13//yHvywCXyWTIZNozW0ZGRqUcY6BOanDx4kXGjRunKROLxYSFhXH69Gmd7Z8+fbrUMzU8PFzzrY7Y2FiSkpIICytJAWphYUGNGjU4ffq0YID/JxMWFkbFihXp2rUrc+bMobi4mEGDBtGgQQNCQ9/8Qf463N3dMTQ0ZP78+QwcOJAbN24wbdq0UnKenp7Url2bvn37olAoaNOm5Ifs6+uLXC5n/vz5tG7dmqioKC0D/U0ZPXo0kydPxsfHh+DgYFasWMGVK1dYu3atTvmBAwcye/ZsRo8eTb9+/bh48SIRERFvpdPAwIChQ4cyb9489PX1GTJkCDVr1izT6H8ZqVTKN998w4gRI1AqldStW5esrCyioqIwNzfXMqhfxejRo+nQoQNVqlQhLCyMnTt3snXrVg4d0r1y/tdff8XJyYkqVaogFovZtGkTjo6OWJbhvdJ14zE0VN/cG3zSjQPb/sDOyR0bexf2bFiAhZUdFauV5IZdMK0flao11oSRyArzSUkqWTiZlvyYR3F3MDGzwNpW7aFu3Lo3K+d8g09gVfzKV+f2lVPkFhRSICti56mLlPd2Zd2BUxTI5LSpp76mJy7ZgL2VOUO/aAFAxO5jLNp2gOlfdsbZ1prUTHWsuInEEBOJejwHz13DSmqKo40l0Y+S+GXtThqGlKdWBX8KgI6tw/lx/lLK+Xhp0hAWymS0bFwPgGnzlmBrbcVX3dQhVXJ5MbGP1Pl45cUKUtIyuBf7EBOJBFcnBwDOXr6OChXuzk48SnrK76s24O7iRNtalTGTSJi4agflPZyo4OHMmqPnKJDJaVdLHYL0XcQO7C2lfN2uEQDL90UR5OGEm50VRXIFJ29Gs/vsDb7rXGII9WxakzHLt1HV151q/h5E3XrAiev3WTa8O3GoZ1RqhPXg5K7F2Dh4YmnrwtFt85Ba2lMupOQBsOqXXpQLCaN6k24A7Fkzletnd9Fp6O8YSUw1MbpGxlIMDCWIRCJqN+/Lse3zcXQLwNEtkKtHt5KdGsvfN2U0DjUlPUdJZp6KhpXE5OTDnYQSY6d7EzF3ElScv6eiqBhSXgq7lxers0k8L7cygwqeIqKfqMiXgYOliLAqEqIfK7gdV0yzUENSMpWkP0tDmJWn4npMiQE9qJ2EazEKTl1TG1Nt6hhyM7aYjBwV5qYiWtQwRKWCi/fU+59nRnmZgvgnFMS9ftEsqNMQmj5bMAtg4uWKeeVyFKVnUZiQ+Iqa2ohEIirV68HFw4uxsPPE3NqFc/vmYWpuj1eFknO4fXEvvCuEUbGu+hye3jMbj4D6mFk5IZflce/yLh7HnKN1/2Va7WelPuRJ7AVa9V0CwBdtWzFzzu/4+/po0hAWFspo3kR9XU7/bT521tb076le6yOXy3mYoD4mxcXFpKanER0Ti7FEgouzEyYmxnh5uGvplEiMMJdK8fJw52HKx71Ob0VtJicjjupttNfRnLpeTOMQfVKzlWRkq2hWzYDsfBU340pmUvq3NORGnILTN9VlLWvocyteSeaz66hpVX2UKrj6QHv2RSQSUbVxD07vXYSVvQcWNq6c2jkXMwt7/CqXjG/D3J74VW5KSEP1+E5EzsarfH3MrZ0oKszj9vldxN8/xxdDlmvq5GalkJedSmaK+r6b+uQejcu5s/j4FYKcbKjgbMvac7cpkBfTtrJ6JmBC5EnspSYMa1IVI309fO2ttPr73Mh+sfzArTisTCQ4WZhyPzmDn/efo1GAG7V9dH/H4D+V57O+LzJ58mStTHPPSU1NRaFQ4ODgoFXu4ODAnTt3dLaflJSkUz4pKUmz/3lZWTIfAsEAfw+IRCK2b9/O0KFDqV+/PmKxmObNmzN//vz3qsfOzo6IiAjGjx/PvHnzCAkJYdasWVoG9nO6du3KoEGD6NGjB8bGJVNclStX5tdff+Wnn35i3Lhx1K9fnxkzZtCjx9tN3w4bNoysrCxGjRpFcnIyQUFB7NixAz8/3R+GcHd3Z8uWLYwYMYL58+dTvXp1pk+frpVd5HWYmJjw7bff0qVLFx4/fky9evVYvnz56yu+wLRp07Czs2PGjBnExMRgaWlJSEgI48ePf+M22rVrx9y5c5k1axZff/01Xl5erFixgoYNG+qUl0ql/Pzzz9y/fx89PT2qVavGnj17NDMQb0OTNn0okhWwYcn3FOTn4B1QhYHjFmvlAE97mkBeTqbm7/gHN1kwteQ4R676BYDqDdrQddCPAFSu3oQO/SdxMHIZW1fMxN7Zk9lDu5OUnsWibQdIy8ohwN2ZBaP6aEJQktIytWINNx05g7xYwejf12j1eUDbMAZ+2hSA1Kwcfl2/i7SsXGwtpbSqHUL/tiXe7bA6NcjMymHZ+m2kZ2bh5+XO7AmjNCEoT1PTNCFBAKkZGfT+ZrLm77927OOvHfuoUj6ABVPVHpLc/AIWr91ESloG5mamNKgZypdd2mOQ+5jmoUFk5OaxcNdxUrPzCHB1YOGQTtg8y3OelJGFWFyir6BIzvT1+3iamYORgT5eDjb82KstzUNLZj+aBJdjQucW/Ln/b37adABPB2tm929PiK8bcc9k6rToh7yogJ0rJ1GYn427X1W6jViqlXs4PSWe/NwMzd8XjqnznK/8Wfu32rb3dILrfgZAzaY9KZbL2L9+JgV5WVjYB9C421IuxlkgNVfRqoYYiSHEJ6tYe1Q7vtvKTISJEcCbTe8rlODtKKZGObWXMSsPrtyXc+B8ETI5GBqI6NjICGMjETGJCv7YUaCVu9nWQoyZpKQDlmYieoRLMDUWkVugIuaJgt825utMRfhPsahagVqHS1KGBs1S/+4TVm3lWt9xZVXTSZVG/SguKuDY5kkUFWTj5FWVVv21z2F2WjwFeSXnsCA3ncPrvyUvOwUjiRQb5wBa91+Gm7/2mpLb57ZgZuH4rPwmjevVISsrm4h1G9Qf4vH25Kcp32FtZQmoY7pf/C2mpWfQf3hJeMmGbTvZsG0nlSsEMWe6tqHzKj7WdSq18aNO+8WYWmqvVzh+tRhDfWhfzxDJsw/x/Lm3SOs6sjYXYSopGbuFmYgujQ0xkagXHsc9VfB7pEzndVS9aX/ksgL2r5uELD8bF5+qfD5kmdb4MlMSKHhhfPk5aexZ+S152ckYSaTYugTwxZDleAaWnMOrJ9fz954Fmr//+lX9YvRJRW8WHb9Cam4BAQ7WLOwShs2zEJTE7Dyte9ubkJpbwOyD50nLLcROakyrij4MqF86o82H4n1lMNE166vL+/3/DZHqvyGwV+B/noiICIYPH/7ePlv/38a+K2VPb34o6hXseb3Qe6RA6vB6ofeI2dMPu8JdF1uNun9UfdEPP262kPT0D7dgqSyajqz6UfVFb9XtZftQfOF//aPqAziWUvH1Qu+Rq7c+7nXj5/PxP1PTNXH6R9Vn3O3NnUr/lCv3y06h+DYE+73+a6DPeb5WbfPmzbRr105T3rNnTzIzM9m+fXupOu7u7owcOZLhw4dryiZPnkxkZCRXr14lJiYGHx8fLl++THBwsEamQYMGBAcHM3fu3H8yrNciZEEREBAQEBAQEBD4j8fQ0JCqVatqpUVWKpUcPny4zMxqtWrV0pIHOHjwoEbey8sLR0dHLZns7GzOnj371tna3gYhBEXgP4IWLVpw8uRJnfvGjx+Ps7Ozzn0CAgICAgICH59/KwvKyJEj6dmzJ6GhoVSvXp05c+aQl5enyYrSo0cPXFxcNF+c/vrrr2nQoAGzZ8+mZcuWrF+/ngsXLrBkiXqNhUgkYvjw4fzwww/4+fnh5eXFxIkTcXZ21vKyv28EA1zgP4Jly5ZRUKD74wHW1tZYW1u/9Yd7BAQEBAQEBD4M/9ZXLDt27EhKSgqTJk0iKSmJ4OBg9u3bp1lEGR8fr7XGqnbt2qxbt44JEyYwfvx4/Pz8iIyMpEKFChqZMWPGkJeXx4ABA8jMzKRu3brs27cPiUR3Hvb3gWCAC/xH8HJebgEBAQEBAQEBXQwZMoQhQ4bo3Hfs2LFSZV988YXWBwlfRiQSMXXqVKZO1Z3L/UMgGOACAgICAgICAgJvxb8VgvL/BcEAFxAQEBAQEBAQeCv+rRCU/y8IWVAEBAQEBAQEBAQEPiKCB1xAQEBAQEBAQOCtEEJQ3g3BABcQ+C+gkvHH/fgHwF5Z6S+sfkjKSZI/qr4Yi+ofVR9AS/Hh1wu9R1SPIj+qPkXBx/8Qz5qP/GEc38/KfVR9STf//qj6ANrqlf6YyYeknf7lj6oP/cCPqw/4vmDk64XeIzM/gg4hBOXdEAxwAQEBAQEBAQGBt0L5b3fgvxwhBlxAQEBAQEBAQEDgIyJ4wAUEBAQEBAQEBN4KIQTl3RAMcAEBAQEBAQEBgbdCWIT5bgghKAICAgICAgICAgIfEcEDLiAgICAgICAg8FYIISjvhuABF/hoiEQiIiMj/+1uvDNTpkwhODj43+6GgICAgIDAv4YK0XvZ/lcRPOAC750pU6YQGRnJlStX/u2ufBC++eYbhg4d+q/o3rZ7Hxu27SA9IxMfLw+GDehDoL+fTtnY+ARWrN3AvQcxPE1OYXDfXnzetmWZba/bvI2lq9bRvvUnDOnfW1OuUqk4vHU+549tojA/Bw+/KrTpNRlbR88y2zq+cwk3LxwkJTEGAwMJ7n5VCO84igc3/+bknj/JyUxFYiJFX9+QvJx0TKXW1KlTi07d+2JqaqZp5++TR/lrzZ+kPE3CydmFbr0HUrVaTa2+rV/zJ4f27yI/L5eAwIoMGDwSZxdXjUxM9D1Wr1hM9P27iMViatauT6/+gzX7zx/fxsYl3+kch5m5NYUFeXj6V+GzPpOwe8WYj2xfwvULh0h5EoO+oQRPv2A+6TQKe2cvLblNB46zZuch0rKy8XN34ZteHSjvq7vdyMNR7D55lphHTwAo5+XOoI5typSfsewvth0+xYju7en8SWNNuWGV+khqNEFkao4i+TEFhzahSHxY5lhERsZI6rfGwL8yIokJyuwMCg5vpjjmFgB6rj5IaoSh5+COWGpB3tYlyO9f09Q3qtYI4zrhiM0sKE5KIH/vXxQ/ji1bn8QYk8afYhgYgsjYFGVWGnn7NiC/fx0A44ZtMGmonZdekZpI5oKJmr9VKhXn98/n1tlNyAqycfIKof5nk7G0032sAG78/Rc3Tv9FTvpjAKwdfQkNG4xHYH0AstMfsWZ6mHYlb/U/PZ5CcF6ZTavbqxuK96i+WIRUQOJsz4X2g3i6481ywauAfVZwvkdr8vJyCAisRJ9Bo3FydntlvQO7t7Bz61qyMtJx9/Kl15cj8fUPAiA3J5tN65Zx/fI5UlOSMDe3IrRmPTp0G4DJC7+7kF7flmp3xsDOZObms2rvCdKycvB3d2JMt7ZU8Nbdn8MXbvDnriMkPE2jWKHA3cGWbs3r06pOSJl933DpPivP3iYtrxB/e0u+DatKBWcbnbI7rscwec85rTJDPTFnv+kAgFyhZOHJa5x6kMijrFzMjAyo4eHIsAaVsX+u7+hZVh74m7SsXPxdHfi28ydU8HJFF4cv3WL53pMkJKerx2NvQ/emtWlVq7JGZvGOo+w/f4OkjCwM9PUIdHdmSLsmVPTW3eZzmlbVp1o5PYwNIe6pkshTxaRlq8qUDwvRJ6yqtvmWnKnk101Fr9Qj8J+FYID/j1BUVIShoeG/3Y3/F5iZmWFmZvZ6wffMkZNRLFq+khGDBhDo78vmHbsZM/lHVi2ai5WlRSl5mUyGs6M9DevU4vflEa9s+879aHbuO4i3p0epfSd3L+P0wTW07z8DaztXDm6ZR8Qv/fl6xi4MDI10thd75zw1w7rg4lUBpVLBgU2/sWRaF2SFebTtNQVjU3P2rJ1JXk46/cavokiWz95VE0lPT2P0+KnqPt26wW8/T6Nrr/6EVqvFyeOH+fmH7/hl7lLcPdVWUOTmv9izcytDR4zD3tGJ9auXM23iN8xdvBJDQyPS01L5/ruR1K7fiH5fDacgP48/lyxgwW8zaT9oEQDBtVoQULmuVv8XTetJenIC7ft+j7W9K/s3zWPZzAF88/POMsf84M4Faod1xs2nAkqFgr0b57B0Zj9G/7wTQ4kJAAdPX2TO6q2M7duJ8r6erN97lGEzF7Bp9mSsLaSl2rx4+x7htUOp5O+FoYEBq3YeZOiMBaz/ZQL21pZaskfPX+FGdCx2VtrXgkG5EIwbf0rBgQ0UP4nDKLQRph0Gk7N0Kqr83NIDEeth2nEIqvwc8iKXo8rJRGRhjaqwQCMiMjRCkfyYomunMf1sgFZ1w/LVMA3vQN6uNRQ/jkFSMwxpt+FkLpiAKi+ntD49Pcy7j0SZl0POxsUoczIQW9igKszXEitOfkz2qtklBUrtLMSXjy7j2qnVNOk0E6m1K+f2z2XX0n50Gr0bfQPd58zMwoFan4zCwtYDUHHnQiR7IwbTYcRWrB39MLN0otekk1p1EofX45glBObrbFJ7aKYmZF+7S0LEFkI3//76Ci9wxAJOmsPgQaOxc3Bm09olzJw0gl8WrsWwjGvw9MlDrF42j76DR+PrX569OzYwc9IIZi/+CwtLazLSU8hMS6VrnyG4unmSkpzE8oW/kJGeyohx07XamtL3C2pXDND8ffbmfX5dv4vxPT+lorc7aw+cYvCs5Wyb+Q3W5qXvhxamxvRt3RhPJzsM9PU5eeU23y/fhLW5qVa7z9l/O57ZRy7zXbNQKjjbsO7CXQZtPEZk/5ZYm0p0jtfM0IBt/T/R/C0SlXhTC4uLuZ2UQf/a5fG3tyS7sIhfDl9i+NYTrAsOYf/5G8zetJ/vuramgpcL6w6fYdDc1UROHVrmePp9Uh9PR1sM9PQ4ef0uU1ZGqsdT3hcADwcbvu38Ca52Vsjkxaw5dJpBc1ax/cevdfYfoEFlPWqX12PTcTnpOSqaVdWnTwsDfttcRLGizGokpStZtqfE4Fb+C0m5lWW/Iwi8AUIIyn8pDRs2ZMiQIQwZMgQLCwtsbW2ZOHEiKpX6F+Hp6cm0adPo0aMH5ubmDBigfkhu2bKF8uXLY2RkhKenJ7Nnz9Zqd/Xq1YSGhiKVSnF0dKRLly4kJ5d8ofDYsWOIRCIOHz5MaGgoJiYm1K5dm7t37wIQERHB999/z9WrVxGJRIhEIiIiIjT1U1NT+fTTTzExMcHPz48dO3Zo6T9+/DjVq1fHyMgIJycnxo4dS3FxsWa/Uqnk559/xtfXFyMjI9zd3fnxxx8BaNy4MUOGDNFqLyUlBUNDQw4fPvxexgelQ1B69epFu3btmDVrFk5OTtjY2DB48GDkcrlGZuHChfj5+SGRSHBwcODzzz9/zRkuzabtu2jZrAktwhrh6e7GyEEDkBgZsvfQEZ3y5fx8Gdi7B43r18HAwKDMdgsKCvhx9jy+GTIQqZmp1j6VSkXU/lU0bDOQoKpNcHQP4IsvZ5KTmcztS4fKbLPX6KWE1PsUB1c/nNzL8Xn/GeTnZhJQuQFV639GUNUwRs46gJGJlJhbZ/EJqkmXHv24cPZvFAr1+d69YzNVqlanXfvOuLp70rl7X7x8/Nm7a5umb7u2b+Lzjt2pXqsunl4+DB01noz0NM6dPgXAhXN/o6evT/+vRuDi6o6vfyBfDhnJmajjpCapPcAGhhLMLe00m0gkJjUpjkrVw6kQ2gRn9wA6fTWT7Mxkbl4s23vZ/9slVGvwKY6ufjh7lKPjl9PJTEvkUewtjcy63Ydp17g2rRvWwtvVibF9OyExNGTnsdM625w2pDefN6uPv6cbni6OfDegq9rTe+OullxyeiazIzYxdXAv9PX0tPYZVWtM0dW/Kbp+BmVaEgX714O8CMOKtXTqNKxUC5HEhLytS1A8jkGZnY4iIRplymONTHHMLQpP7tLyej9HUqspsksnkV2JQpGSSN6uNSAvwqhK3VKyAEZV6iIyNiVn/e8UJ0SjzEyj+OE9FE8faQsqFahys0u2F14eVCoV106uomrYQLwqNMHWOYAmnX4iLzuZ2BtlX6ee5RvjEdgASztPLO28qNliBAaGJiQ9vAqAWKyHibmd1nbDFCrngtEbGB8p+09wb/Icnm4vuw+6UAEnLKBpJoTWrI+Hly+DRkwiIz2VC2dOlFlvd+R6Goe3oWFYK1zdveg7aAyGRkYcO7gLADcPH0aMn07V6nVxcHKlQuVQOnb/kkvnojS/u+dITYyxtZRqtg2H/+bTBtVpW68a3i4OfNfzUySGBmw/cV5nX0IDfWhctQLezg642dvQpVld/NwcuXIvTqf8mvN3+KyyD20reeNja8F34dWQGOgTeT2m7AMlAlszY81m84KhLjUyZHGnRjQLdMfTxpxKLraMbVqV20kZJKZlsubg33xWtypt61TBx9me77q2QmJoQGSU7q9yhgZ40bhKIN5OdrjZW9OlSS38XBy4HF0yk9SiRiVqBvngameNj7M9o74IJ7dQxv1HT8scQp0K+hy5XMyth0qS0lVsOCbH3EREkMerzTOlCnILSrZ82SvFPwhCCMq7IRjg/8WsXLkSfX19zp07x9y5c/n1119ZtmyZZv+sWbOoXLkyly9fZuLEiVy8eJEOHTrQqVMnrl+/zpQpU5g4caKWgSyXy5k2bRpXr14lMjKSuLg4evXqVUr3d999x+zZs7lw4QL6+vr06dMHgI4dOzJq1CjKly9PYmIiiYmJdOzYUVPv+++/p0OHDly7do1PPvmErl27kp6eDsDjx4/55JNPqFatGlevXmXRokUsX76cH374QVN/3LhxzJw5k4kTJ3Lr1i3WrVuHg4MDAP369WPdunXIZCV3ojVr1uDi4kLjxo3fy/jK4ujRozx48ICjR4+ycuVKIiIiNMf1woULDBs2jKlTp3L37l327dtH/fr1X9ney8jlcu5Fx1A1uJKmTCwWE1K5Ejfv3Hurtl5mzuLl1AwN0Wr7ORkpj8jNSsWnfImxJjGR4updifjoq2+sIy9HfY69AqtpysRiMb5BtYiPvgJAfn4eJiYm6OmpJ+bu3blJpeCqWu0Eh1Tj7p2bADxNSiQzI11LxtTUDL+AQI1MsVyOvr4+YnHJre659zD27iWdfT25bxUAdVt015QZm0hx96nEw/tX3njMhflqb6+JmdojXVxcxJ3YBKpVKPmUuVgsplqFcly//woj48U2ZUUUFyswNzPRlCmVSib/vpJurcLwcXPWriDWQ8/RjeKHLxrsKorj7qLvoh0a8xwD34oonsRi3LQj5kOmI+0zHqOazUD0Bg9KPT30nT0oiil56UCloijmNgau3jqrGAYEU/woBtOWXbD65lcsBn2Pcb1PSunTs3bAatQsLL+egdln/RBbWGv2Zac/Ij8nBTe/2poyI2MpDu6VSHp45fX9BpRKBfcv70ZelI+jR7BOmeRHN3hsBDV0OPLfJ+n6kKMP/iWTDpiYmuHjH8T9Ozd01imWy4mNvkuFyqGaMrFYTIXgaty/q7sOQH5eLsYmpprf3XNmro6k8ZDv6f79fLYcPcvtuMfUCCoJdxOLxdQo78u1B/GvHY9KpeLsrWjiElMICSh93ckVCm4nZVDDw6GkfZGIGp4OXHucVma7BUXFtFi0g+YLtzN8y0kepGS9sh85MjkiQGJowO34RGoEllyTYrGYGoHeXItJeLPx3I4h7mkqVf08dcrIi4vZevIiZsYS/F0ddMpYS0WYm4iIflzivpbJISFFhYfDq80zW3MR47sYMbqjIR0bGWBh+kpxgf9AhBCU/2Lc3Nz47bffEIlEBAQEcP36dX777Tf69+8PqD3Co0aN0sh37dqVJk2aMHGiOm7S39+fW7du8csvv2iM0BcNTW9vb+bNm0e1atXIzc3VCrv48ccfadCgAQBjx46lZcuWFBYWYmxsjJmZGfr6+jg6Opbqc69evejcuTMA06dPZ968eZw7d47mzZuzcOFC3NzcWLBgASKRiHLlyvHkyRO+/fZbJk2aRF5eHnPnzmXBggX07NkTAB8fH+rWVXvWPvvsM4YMGcL27dvp0EEdBxgREUGvXr00U5PvOj6JRPdUqJWVFQsWLEBPT49y5crRsmVLDh8+TP/+/YmPj8fU1JRWrVohlUrx8PCgSpUqrz65L5GVnYNSqSwVamJlaUH848dl1Ho9R05EcT8mhsWzZ+rcn5OVCoCZhXYcppmFLbmZKW+kQ6lUsmu1epbC1aviS+3YkJIYS15OBpv+WkVY89aafZkZ6VhYWmnJW1pakZmRrtkPYGllrSVj8YJMhcohRCz7ncgtf9GyzefICgtZE7FEPbYy+n/l790AWNloG7NmFjbkZKa+8Zh3rJ6Jp38Ijm5qoyUvJxOFUlkq1MTaQsrDJ0lv1O6CdZHYWllQ/QUjftWOg+jrienYvGEpeZGJGSKxHsqXQj+U+dno2+g2CsSWNogt/Cm6dZ68TYsQW9lh3Kwj6Okhi9r7yv4916fKzdYqV+VlI7ItfT8A0LOyRexVDtm1M2SvnYuetT2mLbuCWI+C4zsBKH4UQ27knyjSniI2s8C4YWvMe39L5sJJAOTnqM+lsVT7OjU2syU/59XnLC3xLlvmd0ZRLMPA0IQWvRZg7eirU/b22S04FIHXB/Y2Zj+bxJC+FIJgYWmtubZL1cnORKlUYFHq92DNk0e64/2zszLZtmEFTcK14+u/+rQp1YJ8kRgacObGfX5es/3ZtasdmmFtLiUusez7QE5+Ac1HTEdeXIxYJGZsj3bUrOBfSi4jvwiFSlUq1MTGREJcWnYpeQAPa3Mmf1IdfztLcmRyVp+7Q681h9jctwUO5ial5GXFCuYdu0rzIA/kCoV6PC+FmthIzYhLLPt6yckvJPzb2cjlxYjFYsZ1aUnNIB8tmRPX7jJ26WYKi+TYWpixeEQPrKSmkFi6PTNj9b+5BdrTKbkFKsyMy37hjU9Wsum4kpQsFVITEWEh+gxsbcRvW2QUycus9t4RsqC8G4IB/l9MzZo1tWLeatWqxezZs1Eo1Hft0NBQLfnbt2/Ttm1brbI6deowZ84cFAoFenp6XLx4kSlTpnD16lUyMjJQPgssi4+PJygoSFOvUqUSb6mTkxMAycnJuLu7v7LPL9YzNTXF3NxcEwJy+/ZtatWqpTWmOnXqkJuby6NHj0hKSkImk9GkSROdbUskErp3786ff/5Jhw4duHTpEjdu3NAKc/lQ4ytfvjx6L0z9Ozk5cf26egFZ06ZN8fDwwNvbm+bNm9O8eXNNGI4uZDKZlhcfoEj+/u+qySmpLFi6gl+mTtSsD8jIzCJyz352HzyMUqVHj1GL3lnPzlVTSUksewGeUqlg1eyBuLl70LFr7zLl/gnuHl4MHTmOiKULWRuxFLFYzCdt2mNpaY3omVf8UtROtiyf8qwvSorl725dbYuYRtKj+wyatOad23rOyu0HOHj6IosmDsfIUB1SdDsmnvX7jrJ6+lit3807IRKjys+hYN9foFKheJqAWGqJUfUmrzXA/5k+Ecq8bPJ2rlLrS3yI2NwS49rhGgNcHl3iwVU8fcTuE1H8fD4alaIY+V8htOy7+B+rt7TzouPIbcgKc3hwbT+H14+l3VerSxnhxfJC7l/eRfMP4P2+aAabbEv+7vdm72PvRH5+Hj9P/QYXNy/ad+mnta9/25KFp+U8XEjNymHdgVNvrcNUYsRfU7+moLCIc7ei+fWvXbjaWRMa6PP6yq+hsostlV1stf5uv2wPm69EM7i+9myeXKFkzPYoVMD4ZqG8Qfi+TkwlhqyfOJACWRFnb8cwe9N+XO2sCH3Bq18twIv1EweSmZvP1pMXGfPHRlaPUzvFgn3EfFqvJBwwYt8/WzR571GJxzwpXUVCchFjOxtRyVuPC3dfETj+nlEJMeDvhGCA/z/G1PTt5qTy8vIIDw8nPDyctWvXYmdnR3x8POHh4RQVad8oXowpfv7gV77BKpCXY5FFItEb1QMwNjZ+rUy/fv0IDg7m0aNHrFixgsaNG+PhoV5Y+CHH96pxSaVSLl26xLFjxzhw4ACTJk1iypQpnD9/HktLy1JtzZgxg++//16rbPhXAxCLxWRkak+xZmRmYa2jjTfh3oMYMrKyGDBijKbseZ+VSiVfz9yN8llcaG5WGuaW9hq53KxUnDwCX6tjx6pp3L1ynD5jVzBvXGtys7Wnk7PSn5KRkoCzRxBjJkxFX7/klmRpZU1WZoaWfGZmhsbj/fzfzIx0rKxLPJ9ZmRl4epcYT/UaNqVew6ZkZqRjJJEgEonYFbkRa3t1ZoKgkMa4+6gf2Hs2/EZSwn1SEmPJyUrF3MruhTGn4exR4nkui20RP3D78nEGTVyFpU2J19dUaomeWEx6lrYFl56Vg42l+SvbXLPrECt3HGDB+KH4ebhoyq/ciSYjO5c2Q0uygSiUSuau2cr6vUeJbFcdlVKB2FTKi49lsYk5qjzdnkVVbhZKpULr6apIS0JsZgFiPVCW/YBX5eeiUioQmWmPR2RqjipXd3iAMicL1cv6UhIRSy1BTw8UpfXVsTdj85LfKY6PZkNOAxTF6t9vQU4apuYl12lBbio2zq++TvX0DZ8twgR71wqkJNzg2qlVNPx8qpbcg2v7KZYXEvoBDPDyeeBeWPK34tm7VI52OD9Zmel4euvOemRubolYrEfWSx7yrMz0UrNEBfl5zJw8AmNjE0Z+N0Prd6eLqgFerDtwiuR07XOYnp2DjY7Fw88Ri8W4O6iN5AAPZ2ITk/lz99FSBriViSF6IhHpeYVa5Wn5hdiYvv6+D2CgJybAwYqETO2FxXKFkm+3R5GYlc+Szo0wMzLAyMxE/VvM1pZNy8nFxqLsBfZisRh3e/W9JsDNidikVP7ce1LLADc2MsTd3gZ3exsqebvRZsJctkVdAp9u3IpXkrC15Fnz3GdjZiwi5wUvuJmxiMS0N19VWVgEKVkqbMw/rkda+T8cv/0+EGLA/4s5e/as1t9nzpzBz89PyxP7IoGBgURFRWmVRUVF4e/vj56eHnfu3CEtLY2ZM2dSr149ypUrp7VA8U0xNDTUeOHfhsDAQE6fPq1ZSPq8f1KpFFdXV/z8/DA2NtYsqNRFxYoVCQ0NZenSpaxbt04r5OR9je+foK+vT1hYGD///DPXrl0jLi6OI0d0L54cN24cWVlZWtuwr/rj7+vNpavXNXJKpZJL165TvlzpKd03IaRSRf6cP5tlc3/RbAG+PjRtWI/l82Zh5+SFvYsvZha2xNw6o6lXWJDLo5hruPtWLrNtlUrFjlXTuHXxEH3GrsDOyQtnz/I8uFnSTkFeNjfPH0BiYk63EQtLZXbwL1eea1cvapVdu3yBgHLlAXBwdMLSyprrV0tiufPz87h/97ZG5kUsrawxNjYh6sQRDAwM8a+gjheWGJti6+iB1NKWe9dOUbtpZ6SWtkS/0NfC/FziH1zDwy/4lWPeFvEDNy4c4svv/tQY+M/R1zeknJeb1gJKpVLJhZt3qeinOz4a1CEmy7fuZe7YwQT5aGepaVGvOut+Gs+ameM0m52VBd1ahzFv3BBQKlAkJaDv8WLWCRH6nv5lpgUsfhyDnpUdvPBwFVvZo8zJeqXxDYBCQfGThxh4vWD0ikQYeJdD/kh3nLs8IRo9a3utmG89GweUOZk6jW9QOxe8Kgbjaqo2nq0cfDGR2vHofsli1qLCXJ7GXysznrssVEqlxqB/kdtnN+MZ1AizD5BtQqICu+KSzUEO0mK4/4LtmZ+fx4N7t/ArV0FnG/oGBnj5BnDjWslvRqlUcvPqBfwCSurk5+cxY9Jw9PUN+GbCz2VmVHmRB4+TEYtFXLpbcs0olUrO3Yqmks+rZz1fRKlSIZeXPqcGenoEOlpx9uFTLdlzcU+p5KI7DeHLKJRKolMysX3BYH9ufMdn5LK4U0MsjdVjNdDXJ9DdibN3Sq5JpVLJuduxVCojraIuVEoVRa9KVfJM5vmYi+SQlq3SbMkZKrLzVfi6lJhiRgbgZifi4dM3v9AM9cFGKiInX3BJ/zcheMD/i4mPj2fkyJF8+eWXXLp0ifnz55fKavIio0aNolq1akybNo2OHTty+vRpFixYwMKFCwFwd3fH0NCQ+fPnM3DgQG7cuMG0adPeul+enp7ExsZy5coVXF1dkUqlGBm9/iY/aNAg5syZw9ChQxkyZAh3795l8uTJjBw5ErFYjEQi4dtvv2XMmDEYGhpSp04dUlJSuHnzJn379tW0069fP4YMGYKpqSmffvqppvx9je9t2bVrFzExMdSvXx8rKyv27NmDUqkkIKB0Ki4AIyOjUscr19CQL9q2Yuac3/H39dGkISwslNG8SSMApv82Hztra/r37AqoF24+TFBnkiguLiY1PY3omFiMJRJcnJ0wMTHGy0P74SmRGGEuleLl4U5iptqTXye8B0e3L8bGwQMrO1cObZmH1NKewJCSaerlM3sTVDWMWk3VunesnMq1M7vpNnwBRhJTcjJTqFr/U3atmYGLVwXsXHxY/etAlEoFHb6ahawgl1nTJ2FpZUPvAUPQ09OjZZvPmTR2GDu2biCkWk2iThzhQfRdBg79BlD3rVXbL9i8fhVOzq7YOzry1+o/sbK2oXqtkowbe3ZupVxgBSTGxly9fIFVfy6iW68BGJtqe2mvntmHQqGgat02yIsKORz5B7aOHljbubJ/8zzMLe0pX7Uk/OmP6b2pEBpGnWbqMW+LmMblv3fTa6R6zNnPYsyNTaQYGKpjW7u0bML3i1YR6O3+LA3hEQpkMlo1UOc2n7xwJfZWlgzurA4VW7njAEs27WbakF442VmT+mwGxERihIlEgqXUDEuptsdOX08PGwtzPJwdUN0E2fkjmLTsTnFSPIpEdRpCDIwouq5+wTBp2R1lThaFJ9ShWrLLJzEKqY9x2OfILh5HbGWHpFYzZBePlygxMHxmpKsRW9igZ++CKjODwtMHMfu0D4onDyl+HIukZhgiAyNkl9Uv/2af9kGZnUn+4a1qfeePIaneGJPmnSg8dwQ9a3uM67Wk8GzJi7ZJsy8ounsVZVYaYqklxg3bglKJ7PpZCOyESCSiUr0eXDy8GAs7T8ytXTi3bx6m5vZ4VSi5Trcv7oV3hTAq1u0GwOk9s/EIqI+ZlRNyWR73Lu/iccw5WvcvWcwOkJX6kCexF2jVdwlsP8CbomdqgqlvyW/MxMsV88rlKErPojBBR1DwM0RA/Sw4aAl+Z09i7+DMpjVLsLK2JbRmyQLuH74bSrVaDQhvpc6q1LJdJxb99gPevuXw9Q9i7/YNyAoLaRDWCigxvmWyQkaNmkxBQR4FBepk5ubmloj19Lh47hS3Hp2joo87hgb6nL15nz93HaFhSHm2HT9HkJcr5b1dWXfgFAUyOW3qqUMdJy7ZgL2VOUO/aAHAn7uOEuTpgqu9DUXFxURdvcuevy8xrkfJPflFulUrx6TdZwhytKaCkzXrLtyjQF5M24rql9MJu85gLzVmWAP1i/8fUTeo5GyDm5WUnMIiVp67Q2J2Pp9WVsvLFUpGR0Zx52k6cz+vj1KpIjVXvarVoriYbk1rM2nFNoI8XNRpCA+dpqCoiLZ11OtzJvy5FXtLKcM+awrA8r0nKO/hgqudFUXFCk5dv8fuM1cZ11V9bAtkRSzbc4IGlQOwtZCSmZvPxqPnSM7MoWloedbqyPgJEHWjmMZV9EnNUqnTEIbqk52v4tbDEgO83ycG3IxTcvqW2pD/pIY+tx8qyMwFqYk6j7hSBVcffLzwExBiwN8VwQD/L6ZHjx4UFBRQvXp19PT0+PrrrzXpBnUREhLCxo0bmTRpEtOmTcPJyYmpU6dqFmDa2dkRERHB+PHjmTdvHiEhIcyaNYs2bdqU2aYu2rdvz9atW2nUqBGZmZmsWLFCZ6aRl3FxcWHPnj2MHj2aypUrY21tTd++fZkwYYJGZuLEiejr6zNp0iSePHmCk5MTAwcO1Gqnc+fODB8+nM6dO2stmnxf43tbLC0t2bp1K1OmTKGwsBA/Pz/++usvypcv7aV9FY3r1SErK5uIdRvUH+Lx9uSnKd9hbWUJqGO6xS94EdPSM+g/vCS8ZMO2nWzYtpPKFYKYM/37l5svk3ot+1EkKyByxWQK87Px8Auh1zdLtPJhpyfHk59TEi5y7sh6AJZN76nVVuXarTm8dR7ZmSma8JY/pnbSkmnzWQfsHZwoF1SB4aMn8tfq5axduRQnF1fGTPhRkwMcoN3nnSksLGDx/Fnk5eVSLqgiE6f9ouXVi753mw1rV1BYUICLmztfDhlFw8bhxGRqj/PcsS1UrBaGsak5DVv1pUhWwOblkynMz8HTP4R+32qPOe1pAnkvjPn0IfWYF/+gPeYOA36kWgO10dG0VlUysnNYsnkXaZk5+Hu4MHfsYE0IytPUDK1zuPXgSeTFxYydo20Q9mv/CQM+L/ujSi8iv3OJAhMzjOu2RGQqRZH8mLyNv6N6lqVFbG6tFf6hyskkd+NCjJt8hrTPOJQ5mcguHEN29qBGRt/RA7MuJbmNjZu0B6DwShR5kSvINzXDuFFbxGbmFCclkLNmjibkRWxhozXLpczOIGf1b5g074jlV1NQZmdQePYQBadK4s3F5lZIPx+g/khPfg7F8dFkLZuulYqwSqN+FBcVcGzzJIoKsnHyqkqr/ku1coBnp8VTkFdyzgpy0zm8/lvyslMwkkixcQ6gdf9luPnX0TqGt89twczCsVT567CoWoFah1dr/g6aNR6AhFVbudZ33CvrNs6CIjEsW/CT+iNTQZUY+/2vWtf206TH5GRnav6uVS+M7KxMNq9dSmZGOh7efoz9/ldNCErcg7tE31VnCBo+oIOWvnnLtmDn4ISenj4bD59m9l87UanAzd6GkZ1b8VmD6mw8coZF2w6QlpVDgLszC0b10YSgJKVlal27BbIiZqyOJDk9CyNDAzyd7Jg2oBPhNXTPnIUHupORX8iiU9dJyyskwN6S3zs01KQWTMrOQ/yCvZdTWMTUfedJyyvEXGJIoIMVEd3C8LFVL1RPyc3neLR6gXqnFfu1dC0dZUV4tQpk5OSxaMcR0rJzCXB15Pdh3bF5tjAzKT1LazyFMjnT1+0iOSMbIwMDPB1t+aFve8KrqWcXxGIRcUmp7Dx9hczcfCxMTSjv6cyfY/rg42wPZSSrOn5VgaG+iM/qGSB59iGeFfvkWjnAbczFmEpKfjMWpiI6NzbERAJ5Beo6C7cX8VIEzwdHiAF/N0QqlXAI/xtp2LAhwcHBzJkz59/uyn8ccXFx+Pj4cP78eUJCyv7q2n8TT+6Wzrf8ofk7U/dU94einM3HCQd6Tkym3euF3jMNxEc/qj7VwciPqk9R8JEtAGBN1aUfVZ/vZ69fB/A+cbr590fVBxCQdvL1Qu8R0W3dubc/GD6vX7/yvpl6r91H1Tezv+6MXe+Tg1ffTzqgppVfP0P+/xHBAy7w/wa5XE5aWhoTJkygZs2a/2+MbwEBAQEBgf80/pc/ovM+EAxwgf83REVF0ahRI/z9/dm8efO/3R0BAQEBAYH/twifon83BAP8v5Rjx4792134j6Nhw4YIEVUCAgICAgIC/+kIBriAgICAgICAgMBbIWRBeTcEA1xAQEBAQEBAQOCtECac3w3hQzwCAgICAgICAgICHxHBAy4gICAgICAgIPBWCJ+ifzcEA1xAQEBAQEBAQOCtEEJQ3g3hQzwCAv8F5C5+9VfzPgTK6o0/qj6R8uN+RjnBstJH1QfgWBDzUfVFG1T8qPpS800+qj6AYNPbH1Vfksjlo+pLLF/7o+oDODrv434Yx9r6436IZbjz1o+qD0AhMf2o+qTVPvngOnZceD/37Daheu+lnf82hBhwAQEBAQEBAQEBgY+IEIIiICAgICAgICDwVggf4nk3BANcQEBAQEBAQEDgrRACmN8NIQRFQEBAQEBAQEBA4CMieMAFBAQEBAQEBATeCpWQhvCdEDzgAm9Fr169aNeu3QfVMWXKFIKDgz+ojveFSCQiMjLy3+6GgICAgIDAR0Wpej/b/yqCB1zgP45vvvmGoUOHvlUdT09Phg8fzvDhwz9Mp8ogMTERKysrAOLi4vDy8uLy5csf7AVi45UHrLp4n7S8QvzsLBjTqDIVHK11yu64+ZDvD1zUKjPUE3N6WDvN35P3X2DXrXgtmVoe9iz4rK5a34HjrNl5mLSsbPzcXRjd6wvK+3rq1LftcBR7Tp7jwaMnAJTzcmdwx9Za8lMWrWb3ibNa9WpWCmT+uMElYzxwktW7j5To7NmeCj4eunUe+Zvdp87zICERgEAvNwZ1bFVKPvZxEvPW7+Ts9TsUyYsRicDDy4evhozCPyBQZ9sAUSeP8deaP0l+moSTsys9eg+garWamv2no06wf+9OHkTfIzcnm1/nLcXLx1erjcTEx6xcvpjbN69TLJdRM7gCo/p2wdrSQiOzee8R1u7YR3pmFr4ebozs24Xyft46+7T94HH2Hj9NTMJjAAK8PRjY5TMteZVKxdIN29l6eAz5ebn4l6tEr6++xdHZvcyxAhzcvYk9kWvIykjDzdOPHgO+wce/vGb/j98N5M6NS1p1God/Su9BJWkyR3SuUKpdR1df+oyci52T7vMI8OD2BY7sWsGjmFtkZ6bQZ+RcKlZroiWjq22AOjWqER0bR3pGJj5eHgwb0IdAfz+dsrHxCaxYu4F7D2J4mpzC4L69+LxtyzL7tW7zNpauWsdnrVpgamrCzgPHyMvLISCwEn0GjcbJ2a3MugAHdm9h59a1ZGWk4+7lS68vR+LrHwRAbk42m9Yt4/rlc6SmJGFubkVozXp06DYAE1MzTRsjdVwK3Z9ClbzS5dZ1Q/Ee1ReLkApInO250H4QT3ccfmUfX0V4NQNqBOpjbASxSUq2nigiNatsq6lZqAHNqhlolSVnKPl5fSEAxkbqNv3d9LAyE5FboCI6EU7cUCGTQ/0KIoK9RRgZwKNU2HdRSUbum/W1VjkRjSqLOXdPyaHLJX1sESrC00GEmQTkxWCYVxt57HXW7z7Iyv2nSMvKxd/NkW87t6KCt6vOtg9fvMnyPcdJSE6nWKHA3cGG7s3q0KpWFQDkxQoWRh7i1PV7PEpJx8xYQo0gH4a1b4a9pTkAGw+eenZvy8HP3ZnRPT4r+9529DS7T57nwaMkAAK9XBnUoaWWfGi3ETrrDuvUmsEfIQ2hwLshGOACHxWVSoVCoUBfv+xLz8zMDDMzszL3/yfh6Oj40XQduPuIX09cZ3yTYCo4WrPuUjRDtkaxtVdTrE0kOuuYGuqztVczzd+6JgxrezowuVlVzd+GeuqJsQOnLzJn9TbG9u1IBV9P/tp7lKEzf2fz7ElYW0hLtXPx9n2a1a5KJf8vMDLQZ+XOgwyZ8TsbfvkOe2tLjVytykFMGtitRN8L18KB05f4be02xvXpQAUfT/7ad4yhMxexZdZ3ZeiMJrxWCJV6eGFkaMDKnYcYMnMRG38aq9H56Gkq/abOpZKfF0qliqGdWiMxMuRcfDZTJ45hwZJVWFpalWr7zq0b/PrzNLr16k9otVqcPH6YmT9MZNbcJXh4egEgkxUSGFSBOvUasnDerFJtFBYW8P2EMXh6+TB1xq/YFD5i6fptfDNzPsumj0csFnMo6hzzVm5gzIDulPfzZsPug4z44TfWz/sRawvzUm1eunmXpnWrUzHAF0NDA9ZE7mX4tF9Z+9s07G3U41gTuZdNew7Rb/hU7Byc2bL2D36eMoyZCzZgaKg75/KZkwdZ9+ccen81Fh//8uzbuZ6fpwzj54WbsLAseclr2Kwd7bsM0PxtZFT62qtcoxl3r0Xxac9xWNo4cXzPKhbP/JKxv2zHoAz9RbICXNwDqNHwU1b8OlynzPeLjmn9ffvKSdb/MZGzFy8zctAAAv192bxjN2Mm/8iqRXOxeuEl5zkymQxnR3sa1qnF78sjdOp5zp370ezcdxBvTw/uPYghNj6BgcMnYefgzKa1S5g5aQS/LFxb5jE9ffIQq5fNo+/g0fj6l2fvjg3MnDSC2Yv/wsLSmoz0FDLTUunaZwiubp6kJCexfOEvZKSnMmLcdK22OiVDuYKSv42VuvusZ2pC9rW7JERsIXTz768c3+toFKxP3Yr6rD9SRHq2kvDqBvRvZcQv6wspfkUK6KR0JX/sKNT8rXjBXrcwFWFuKmLX33KeZiixkor4opERUmMRT9JVhPqJ2HlWSWYeNKgoplMDMUv2KlGUMd7nOFlDFR8RTzNLvxwkpsONh0qy80BiBD2rijj8qIDZG/fyXbc2VPB2Y92hvxk0J4LIH4ZjbV76+WNhaky/lg3xdLTFQF+Pk9fuMmXFNqylZtSu4EdhkZzbD5/Qv1VD/N0cyc4r5Jf1uxk+fw3rJg7iwJnL/LY2knG9v6CCrwd/7TvO0J/+YMsv4159b/P3enY/PcKQnxazcea3mnvbvgXfa9X5++ptpi3bQOPqH+cbB//pizDT09MZOnQoO3fuRCwW0759e+bOnVumfZGens7kyZM5cOAA8fHx2NnZ0a5dO6ZNm4aFRcm9RCQq/ST966+/6NSp01v1TwhB+R9EqVTy888/4+vri5GREe7u7vz4448AXL9+ncaNG2NsbIyNjQ0DBgwgN7ds94NMJmPYsGHY29sjkUioW7cu58+f1+w/duwYIpGIvXv3UrVqVYyMjDh16tQr+/dyCMrzsJdZs2bh5OSEjY0NgwcPRi6XA9CwYUMePnzIiBEjEIlEWj+OU6dOUa9ePYyNjXFzc2PYsGHk5ZW4jTw9PZk+fTp9+vRBKpXi7u7OkiVLNPuLiooYMmQITk5OSCQSPDw8mDFjhmb/iyEoXl5qo6xKlSqIRCIaNmzIiRMnMDAwICkpSWuMw4cPp169eq88Di+z5tJ9Pq3gSZvynnjbmDM+rAoSfT2233hYZh2RSIStqUSz2ZiWNpYM9MRaMuYSQwDW7T5Cu8a1adOwFt6uTozr2wmJoSE7jp3WqeuHIb34oll9Ajxd8XRxZMKArqhUKs7fuKslZ2igj62luWYzNyv5eMvavcdo16g2bRrUxNvVkXF9OiAxMmTH8TO6dQ7uwRdN66l1OjswoX9nVEol527e08j8vnEXtSsHkZ6dy6eNa9OzdRgdm9Vn2MixGEkkHD6wV2fbu3ZsoUrV6nzavhNu7h506d4Hbx8/9uzappFp2LgZHbv0pHJwVZ1t3Ll1g5TkJIaN/BYPT298PVyZOKQvdx7EceHGHQD+2nmANmH1adW4Ll5uzowZ0B0jI0N2HdH9O/l++ADaN2+Mv5c7ni5OjBvYC6VKxYXr6g/SqFQqNuw+RK/2rahaowHunn58OXwKmempXDxzXGebAHu3r6Nhs3bUD2uNi7s3vb8ai5GRhBOHdmrJGRlJsLSy1WzGJqUfZvdunKHZZwOp3qAd/hVq0G3ITLIzkrl+oWxPbGBwPT7pOIxK1cLKlDG3tNXablw8iomxMa2aNaFFWCM83d0YOWgAEiND9h46orONcn6+DOzdg8b162BgYKBTBqCgoIAfZ8/jmyEDMTM1ITomju4d2hNasz4eXr4MGjGJjPRULpw5UWYbuyPX0zi8DQ3DWuHq7kXfQWMwNDLi2MFdALh5+DBi/HSqVq+Lg5MrFSqH0rH7l1w6F4VCUazVlrESzBUlm0EZxk/K/hPcmzyHp9sPldmvN6VeJQMOXZRzM05BYrqK9UeKMDcRUcHr1R9OUSghp6Bkyy+xxUlKV7FqfxG3HipIy1YR/VjJ8WtKfJ2hur+IqFsq7j+BlCzYeVaJ1BgCXF4da2ygD21qitlzQUlhUen9V2JUJKRAVj48zQB53A1Wrl3HZ41q0bZuVXyc7fmuWxskhgZEnrpYugEgtJw3jUOC8Ha2x83ehi5htfFzdeBytPr+KzWRsHhUb5pVq4inox2VfNwY26UVtx8+ITEt89m9rRZtGtTA28WRcb2/eHZvO6tT3w+DuvNF07oEeLg8u7d1RKVUce7mfY3Mi/dRW0tzjl+6QWigL672tq88Xu8Ller9bB+Krl27cvPmTQ4ePMiuXbs4ceIEAwYMKFP+yZMnPHnyhFmzZnHjxg0iIiLYt28fffv2LSW7YsUKEhMTNds/Cc0VDPD/QcaNG8fMmTOZOHEit27dYt26dTg4OJCXl0d4eDhWVlacP3+eTZs2cejQIYYMGVJmW2PGjGHLli2sXLmSS5cu4evrS3h4OOnp6VpyY8eOZebMmdy+fZtKld7+7fzo0aM8ePCAo0ePsnLlSiIiIoiIiABg69atuLq6MnXqVM2PAeDBgwc0b96c9u3bc+3aNTZs2MCpU6dKjWf27NmEhoZy+fJlBg0axFdffcXdu2qjcd68eezYsYONGzdy9+5d1q5di6enp84+njt3DoBDhw6RmJjI1q1bqV+/Pt7e3qxevVojJ5fLWbt2LX369Hnj8csVSu48zaS6u72mTCwSUd3dnuuJ6WXWKygqpuWyvXyydC8jt5/mQWp2KZmLj1IJW7ybzyIOMP3wZTILZGp9sQlUrxBQok8spnqFAK7fj32jPhfKiiguVmgZ2AAXb92n2ZdjaT9yKjOXryczR/2CJy8u5k5sAjUq+L+k059r9+PeXKdCiYWpWqdSqSTqyi1cHWy5+eAhe06dp+ekXzl24RpisZhKwSHcvXNTZ1t379wqZVgHh1TjXhnyunj+kviioWdoaIBYJOLa7fvI5cXcjXlItUolYTBisZhqFYO4cffBm425SEaxQoG5mfpLe0+SU0nLzKJapSCNjImpGd7+5Ym+e11nG8VyOXEP7lC+cjWtfpSvXK1Unb+P7+Orbk0ZO7QTG1b9jkxW+HJzFORlc2DrH/w2oRNnj25FYmyGh08l4u5ffaMxvQk5mancvHScgsJCqgaX3FPEYjEhlStx8869V9R+PXMWL6dmaAhVgytRJJdTKJNRtXLJl0VNTM3w8Q/i/p0bOusXy+XERt+lQuVQrb5VCK7G/bu66wDk5+VibGKKnp72LOEWW5joAb85w1kpfGjno7VU7am+/6jE1V1YBPHJSjwcXm062FmImNhDwriuEro0McTS7NUGtJGhCHkxmBmLiH1aMjKZHJ6kgctr7MnwEBEPnqiIe/r6cRnogcrGhZs3b1LDvyScQywWUyPQh2sxCa9tQ6VScfb2A+KSUqnq51mmXE5BISKRCImhAXdiH1Gj/Ev3tvJ+XIsu24HyIpp7m5nur82mZeVw6sot2jas8Ubt/X/n9u3b7Nu3j2XLllGjRg3q1q3L/PnzWb9+PU+ePNFZp0KFCmzZsoXWrVvj4+ND48aN+fHHH9m5cyfFxdovxJaWljg6Omo2iUT3LPSrEEJQ/sfIyclh7ty5LFiwgJ49ewLg4+ND3bp1Wbp0KYWFhaxatQpTU/XDfMGCBbRu3ZqffvoJBwcHrbby8vJYtGgRERERtGjRAoClS5dy8OBBli9fzujRozWyU6dOpWnTpv+431ZWVixYsAA9PT3KlStHy5YtOXz4MP3798fa2ho9PT2kUqlWSMiMGTPo2rWrJi7cz8+PefPm0aBBAxYtWqT5wXzyyScMGjQIgG+//ZbffvuNo0ePEhAQQHx8PH5+ftStWxeRSISHR9kxrHZ2dgDY2Nho9aNv376sWLFCczx27txJYWEhHTp0eOPxZxbIUKhU2JhoT3XbmBgRl5Gjs46nlRmTmoXgZ2tBbpGc1Rfu03vDMTb1CMNBqr6J1/Z0oLGvM84WpjzKzOP3qJsM2/Y3P7eqgUKpLDU1am1hTtyTN3jKAfPXbcfWyoLqFcppympXDqRRtcq42Nvw6GkqCzfs5OufFvHn1FFk5uTp1mkuJe5J8pvpXL8DWytzzYtDenYu+YUyVu1Se15H9/iM1MxsRs/5k6kOFbC0tOJxQrzOtjIz0kuFplhaWpGRkfFGfQHwLxeERGLMqhVL6NajHwWFMhau3YxCqSQ1M4vMnJxnY9YONbG2NOfh48Q30rFwzWbsrCw1BndaRpamjcwX5CwsrcnKSNPZRk52JkqlQivUBMDc0ponj0oMhFr1w7G1c8TK2o74uGg2rFpA0uOHfD3uZ41MzUbtOXN0Cz2//pXHD2+zecUPyGT5mFnYkJOZ+kZjehPOndiBkZExhQW5pUJNrCwtiH/8+B+3feREFPdjYlg8eyaA5uFrZWmJ/AU5C0trMjN0vwBnPz+mVtrH1OKlY6pVJyuTbRtW0CS8jVZ583TwK1B7ve8awxYbkImgfun36feG1ERtNOcUaJv6ufkqzT5dxCcrWH9ESUqmEqmpiGahBgxuZ8SsDYXI5KXlTSRQN0jE/ScqKnmJyHvpfS6vUIWOiTsNQW4iHK1ErDj46hiVEF8RjSuJMDQQkRQnQaFQYG2u/Xl4G3Mz4pLKvkZz8gsJH/0z8uJixCIx47q1pmZ5X52yMrmceZsP0Lx6ReQKRRn3UylxiW96b9ulvre9YMS/yK6T5zCVSGgU+nHCTwCUqveTBUUmkyGTybTKjIyMMDLSHdr1Jpw+fRpLS0tCQ0tegMPCwhCLxZw9e5ZPP/30jdrJysrC3Ny8VNjs4MGD6devH97e3gwcOJDevXvrDE15FYIB/j/G7du3kclkNGnSROe+ypUra4xvgDp16qBUKrl7924pA/zBgwfI5XLq1KmjKTMwMKB69ercvn1bS/bFH8E/oXz58ujplUx7Ojk5cf26bm/ec65evcq1a9dYu3atpkylUqFUKomNjSUwUO11fNEjLxKJcHR0JDlZfVPs1asXTZs2JSAggObNm9OqVSuaNWvG29CrVy8mTJjAmTNnqFmzJhEREXTo0EHrOL+IrpuRTP6KgMsyqORsQyVnm5K/nWz4fOVBtlyPZVBt9cK68ICSBWR+thb42VrQdsV+riXqNtTelIjtBzh4+iKLJ36NkWGJ97dZ7ZLrwNfdBV93Fz4dPoWLt+7j7WT3bjp3HOTA6cv8MWGIRqfq2fxmzYoBHL94A3cne1rVr8HV+3Hs37MTW7t30/k6LCwsGT1uMot/n8PuHVsRi0Q0rVudAG8PxG95s9bFqm172HPsb1QqFS36fA3ArHFfv3O7ZdE4vOSh5ebpi6W1DTMnDqZvh/qIRCJUKug/ZiFnjm7Byd2PcpVrUyQr4OjOFXj4Bb/Xvpw7vo2K1cI4fyLyvbabnJLK7N//QKFQ0LabepbKxenDr/XIz8/j56nf4OLmRfsu/bT2Ncss+b9rERSJ4Zjl+zXAnTu3puJCdUxxmJExy3fLXlNDN3fiSwzhxHQV8U9lfNfNmMo+epy7U3Ifq+Knx+cNDDF4dlu/Hqeiktfb6ZIaQ9MQEeuOvT5G/OZDFbFJKsyMoYnz8zDEtwsCMJUYsn7SYApkRZy9/YDZG/biamtFaDntVbLyYgVjFm9AhYrx3dqQL9MRF/MWROw4xIEzl/nju8Fa99MX2XH8HM1rh5S5/0PwvsJHZsyYwfffa8ezT548mSlTpvzjNpOSkrC3t9cq09fXx9raulRIaFmkpqYybdq0UmErU6dOpXHjxpiYmHDgwAEGDRpEbm4uw4YNe6s+Cgb4/xjGxsb/it6yjM035eVYTZFIhFL56jtubm4uX375pc4fhbt7STaIV7UdEhJCbGwse/fu5dChQ3To0IGwsDA2b978xn23t7endevWrFixAi8vL/bu3cuxY8fKlNd1M/r2k9roiUSk5Ws/FNPyZdiWsQDzZQz0xATYW/IoU0fqhGe4WppiaWxIZoEMPbGY9Cxt73p6VjY2lqUXBr7I6l2HWLnjIL+PH4Kfh8srZV0dbLGUmvEoKYUQf0/dOrNzsNGxSElL5+4jROw8zMJxg/BzL9FpKTVFT0+Mv4crpy7f0rTt5ezAuQdJ6BvoY2mlO4uMpZU1mZna3u7MzAxN1ps3JTikGouXryU7KwsneQJSUxNa9huBs0N1LKXSZ2PWtqTSM7Ox0bGA8EXWbt/H6m17mD1+OHYvLHKVP/PWpmdmI37h+ZOVmY6Hl27vmdTcErFYj6xMbW9udmY6llY2OusA+Pirs5L0GPAN5cpXIb3AmGK52tjIzUrDwsoOd5+KHNi6GOvMFFy8ys448zY8uHOR5CexdB00nYundpCRmaW1PyMzC2tLy3/U9r0HMeQXFGh5sx7Eqj3WX/T+kjXbTiB+5gzIykzH01t3thXz58f0JQ95VmZ6qWuuID+PmZNHYGxswsjvZrxykTqARyEctIJi3t9D/OnOI2SeU4cInZm4A/1nhrHUWEROfomlZWYi4knqa6zdFygsgtQsJTYWYqDEAI9+rCAlU4m8GA5chueH21SClhfcVKJ7YSWoF16aSkT0bVZiSIvFItztINRXxE+blRojUSZXbxm5YCq+hZ6eHpkYarWXlp2LjUXZCQDEYjHuDurfQ4C7E7GJKfy594SWAS4vVvDtH+tJTMtkyTd9MDOWYGSgX8b9NAcbHQutX2T17qNE7DrMwrFf4efurFPm8p0HPExMZsaQHq9s633zvgzwcePGMXLkSK2ysrzfY8eO5aeffnpley87AP8J2dnZtGzZkqCgoFIvAhMnTtT8v0qVKuTl5fHLL7+8tQEuxID/j+Hn54exsTGHD5deDBUYGMjVq1e1FilGRUUhFosJCAgoJe/j44OhoSFRUVGaMrlczvnz5wkKCiol/yExNDREodD2EoeEhHDr1i18fX1LbYaGhmW0VBpzc3M6duzI0qVL2bBhA1u2bCkV4/68D0CpfgD069ePDRs2sGTJEnx8fLRmDV5m3LhxZGVlaW2jm9emnIMl5xNKpiuVKhXnE5Kp6KTbgHwZhVJFdGoWtq+Yz32ak09WQREOUhPKeblpLaBUKpWcv3mPin5lu6lW7TjI8q37mDd2EEFlpNfS0peWQVZuHjaW5hjo61POy01rAaVSqeT8jXtUekWc5cqdh1m2bT/zxwwkyFs7zZ6Bvj7lvd159DRVq+34pGRs7ey5fuXS/7F31uFRXF0D/+1uNu7uSkKMIBHcJTi0ULRQKNBCkdLiRQsttBQoUAq0uBZKcXd3twQnJIS462bt+2Nhw5INUihvv/ed3/PMA3vn3nPmzkxmzj333DNUDAzRJ5aKgcFcu6qbcu/q5YsElFP/VVhaWWFhZsqF67Fk5eRRN6IKUqkBFX29tAson/X5wvVYQiv6lStr9ZbdLNu4g5/HfUW1kIp4uDhpNx93V+ysrXRkFhXm8+DOTSpUrKRXnoFUirdfIDHXShdQq1Qqbl67UG4bgPiHmvPpUyEIJxcPHJw9cXb3w8Lanjs3NAtnnzy6hYmpBfEPbuDtX/n1TtYrOHt4E+4+wXj6VSKggi+XrpbOhqlUKi5du05IoP7BxquoFlaJpb/MZMncGdotwM8XQ0MpH7VrrTW+CwsLuH8nBv9A/akRDaRSfCpU5Ma10kV9KpWKm1cv4F+xtE1hYQHTJgzFwEDK8HHTy82o8jyJRmCifLceNGV+AYX34ym8H09GrpqULDW5BWr83UtnHo2k4Oko5lHK6xvghgZgZynWMeKNpPBJtBGyEvh9h4yMPEjPhfwiNd5OIp22rnaQWE5USFwKLNqjZMk+lXZ7kqnmxiM1S/apyjUQpQZSQoKDOXtN9+/u3K0HhPm+PK3k86jVakrkpbHBz4zv+JQMFg7rjfXTeG3Ns8297LPt5l3CKpT/nFyx4yCLt+zjl5Gfl3m2Pc/Wo2cJ8nEn4BUOj38rRkZGWFpa6mzlGeDDhg0jNjb2pZuvr6/OTPYzFAoFmZmZr8xelpeXR/PmzbGwsGDz5s0vXawNUL16dR4/flxm5vpVCB7w/zGMjY0ZNWoUI0eOxNDQkNq1a5OWlsbNmzfp3r07EydO5JNPPmHSpEmkpaUxePBgevToUSb8BDRe7QEDBjBixAhsbW3x9PRk+vTpFBYW6l01/E/i7e3NsWPH6NKlC0ZGRtjb2zNq1Chq1KjBoEGD6Nu3L2ZmZsTExLB//37mzZv3WnJnzZqFi4sLVatWRSwWs2HDBpydnbHW411zdHTExMSEPXv24O7ujrGxsTZ1UXR0NJaWlnz33XdMnjz5pTr1xb7lSw34uJo/E/deIMjRhlBnG9ZevkeRXEnbEM0DfMKeCziYGzO4jubl/vuZWCq52OJhZU6erIRVF++SnFtI+1BvAApLFPx+JpbG/m7YmRrxOKeAOcdv4GFtTk0vJ4q8g/h2wSqCfD0JeZqGsEgmo019TR7sifNX4mBjxaCu7QBYsW0/v23YyXeDPsHFwY70bI1X19TYCFNjIwqLZSzauItGUVWws7bkcUo6v6zdgoeTPTUrazyj3Vs0YNJvawj28STEz5O1e45SJCuhTX3NwqIJC1bjaGPFoC5tAFi+/QC//bWL7wb2xMXBtoxOgB6tGjHmlxW0qRfF5kOnyCso4tjFG4RH1aS4uJjGTZsDMGfmVGztHOjRqx8Ardt2YNzooWzd9CfhkTU4cewQ9+/dZsDgYdrrkpeXS3pqKpmZGgshMVETT25tY4uNrWZgdHD/btw9vLC0suLKtdP8vPQPurRuipeb5iXQtU0zpsxbQqCfNyEVfFi38wDFMhmtG2oGad/OXYyDnQ1fdO8AwKrNu1i0fivfDu2Hi4O9NubbxNgIUxNjRCIRnVs1YfnGHRi4R+Hg5MpfaxdibWtPeI362mOfNv4LImo0oGkrzVqEFu268fucb/GpEISvfwh7t69DVlxEvSatAUhJeszpY3upHF4LcwsrEuLusWbpz1QMqYqnt8YLfOPiEfJz0qlWswX7Ni0kPSWec0e3YmPvglKpoFJEaejb/O/6UCmyMXWjuwEgKy4kPbk0Hj8jLZHEuFuYmlthY++iLS8uzOfq2X207T4cgI/ateaH2b8SUMFPm4awuFhG88YNAZj68y842NrS75PugMZJ8CjhMaB5IadnZnDvwUNMjI1xc3XB1NQEHy9dY8fExJgAP1927T+ER2gdHJ1c2bD6d2xs7YmoUU9b77uxg4msWZ/o1h0BaNW+Cwt+/g7fCoFUCAhm99b1yIqLqf/0nD4zvmWyYoYNm0hRUQFFRRoHiKWlNWKJhJumkCfReL0N1HDHBA5aQwNdp78WiZkpZhVKj9/Uxx3LyoGUZOZQnPB66wqecfyanMbhUtJy1GTmqmgeJSW3UM2Nh6VOhs/bGHHjoZKTNzSGaOuaUmLilGTlq7E0FREdKUWlhst3NfuNpPBZGyOkBiJWHJRhLEUb433+rprawSKy8tRkF0C9UDF5RXA7sdSS7tZAzO3Hai7eU1Oi0GRLeR65AopKSsutzSDIU8TDZDWFMk3YimFQTXr1NGD0N98Q6GhBqI87aw+cokhWQrvamoXX45b8haO1JUM6aEIOl+w6SoiXG+6OtpTIFZy4foedZ64wpnvbp3qVjFj4B7cePWHOkB6oVCrSn3q8rcxMnj7b1hLs40GIn1fZZ9vCNZpnW2fNvbF8+0F+27ib777ogYu9/mcbQH5hMQfOXWVoN911A++D/8RHdBwcHLTrrV5GzZo1yc7O5uLFi4SHa67poUOHUKlUVK9e/kLV3NxcoqOjMTIyYtu2ba+1uPLKlSvY2Ni8ccy6YID/DzJ+/HgMDAyYMGECT548wcXFhf79+2NqasrevXv58ssviYyMxNTUlA4dOjBr1qxyZf3www+oVCp69OhBXl4eERER7N27942n6d+WyZMn8/nnn+Pn54dMJkOtVhMWFsbRo0cZO3YsdevWRa1W4+fnR+fOnV9broWFBdOnT+fu3btIJBIiIyPZtWsXYnHZySMDAwPmzp3L5MmTmTBhAnXr1tWGmojFYnr16sXUqVPp2fPvTRM2q+hOVpGMhadjyCiUEeBgxS8f1NamFkzOK+T5sOK8Yjnf7b9ERqEMSyMpgU7WLO3SAF87y6fHJOJueg47YuLJk5XgYG5CDU9HBtQKxtBAQrOocLJz8/ntr51kZOcR4OXG3NEDtSEoyemZOtP0G/cfR65QMGr2Ep3j7tehBZ91bIVYLOJefCI7j50lr6AIBxsrqocF0v+j1hhKpaBS0qxmNbLy8ln41y4ycnIJ8HLnl1H9tdO0yRlZOrHTGw+c1Hid5izT1flhcz7voFkY3DCyMmM+7cTybftRq9TsP3MZkVhEdlYmEyb/qA0HSEtLRSQqva6BwaF8NWIca1ctZfWKxbi4uTF63BRtDnCA82dO8cvs0unQmT9OAaBzt0/o0r0XAImPE1i9fBH5+Xm4ONjRq0MrurQuXUfQpHYUWbl5LF63hYzsXPy9Pfh57FfaD/WkpGciFpf2edO+I8gVCr6ZsUCnz30+akvfzprB0MftW1AkK2Hp/KmaD/EEVWbExDk63tXU5ETycrO1v2vUbUpebhYb1/5OTlYGnj4BjJg4BytrzZS7gYGUG1fPsXf7H8iKi7G1dyKiZkPadyrN5iORGHBi3zrSkh+hUMg5c2gjiMDa1omOfcbr5ABPT0mgIK80xCfhwQ1+nVIqa+sqzcLOyHrt6Dbge235pdO7UavVVKut+dBIo7q1ycnJZfna9ZoP8fh68+OksdjaWGv6mZauc89kZGbRb+hI7e/1m7ezfvN2KocGM3uqbujX8wT4+VI1LJTF836ksCCfisFhjP52ls45TXnhnNas24TcnGz+WrOI7KxMvHz9Gf3tLO09F3f/Nvdua7LqDP1Md1H23MUbcXByQayGk5aw1U6T+cReDm0zoIb+tddYhYdS82Bp1qXgGd9ozu/KTVzrM0Z/o3I4fEWBoVREx/qGmBhqPsSzaIdMJwe4naUIM+PS82tlJqJ7U0PMjDUf2XmYpOKXTcXasBJ3BzFeThqv+pjuuiGRv25XIpVAiwgxxoaQkAbrj+rGd1ubg+kb2DkKJXjYi4gKEGEshQIZkC+nkashX33UnAVbD5KRm09FDxd+HfqJNgQlOSNb574plpUwdc12UrNyMJJK8Xax57s+HxEdpZkhSsvO5egVTWrRLt/q5l9fNPxTmtWoSlZuPgs37nn6bHPjl5Gfa8PrktNfeLYdfPpsm7tcR1a/D6L5vENz7e99Zy6hVqtpXrPa65+Ud4T6HS3C/CcICgqiefPm9OvXj4ULFyKXyxk0aBBdunTB1VUTypOYmEjjxo1ZuXIlUVFR5Obm0qxZMwoLC1m9ejW5ubnk5moGPg4ODkgkErZv305KSgo1atTA2NiY/fv3M3XqVIYPH/7GxyhSq//JLIwCAgLP6NOnD2lpaWzbtu2N2+YvfLMX57tAFdXoveoTqd58oenbkGD9/rIFPMO56MF71XdPWn74yD9BeqH+FGn/JFXM3j7e801IFr3faf6kkFrvVR/A4bmX36s+W9u/n+3i7zDUddN71QegNH67dVBvisV7+BLmqvJT4L8RPeq9us7fITMzk0GDBul8iGfu3LnaD/E8+3r14cOHadCgAUeOHKFhw4Z6ZT18+BBvb2/27NnDmDFjuHfvHmq1mgoVKjBgwAD69eun1zH3MgQPuIDAP0xOTg7Xr19n7dq1f8v4FhAQEBAQ+Lfxb3ff2trasnbt2nL3e3t787wPukGDBrzKJ928eXOaN2/+0jqvi7AIU+C9ExISov3c/Ivb8ykD/1to164dzZo1o3///m+VC11AQEBAQODfgkr9brb/VQQPuMB7Z9euXdovBL6IvsWe/995WcpBAQEBAQEBgf89BANc4L3zsq9JCggICAgICPz7+beHoPzbEQxwAQEBAQEBAQGBN0IwwN8OwQAXEBAQEBAQEBB4I/6X47ffBcIiTAEBAQEBAQEBAYH3iOABFxAQEBAQEBAQeCOEEJS3QzDABQT+H3C9/vv/EM+a3e/36dq9xfv9qtq9J5bvVR9ADTf92X/+KcKur3iv+pQpKe9VH8DWkO/eq752kq3vVd/a9/xRHICGQ6q+V331Z7d7r/rk/s1eXekd89X29/vhr6WR/7wOlerVdQTKRwhBERAQEBAQEBAQEHiPCB5wAQEBAQEBAQGBN0IIQXk7BANcQEBAQEBAQEDgjRAM8LdDCEEREBAQEBAQEBAQeI8IHnABAQEBAQEBAYE3QsgD/nYIBriAgICAgICAgMAboX5nMSjvNwPWvwUhBEVA4CU0aNCAoUOH/qcPQ0BAQEBAQOC/CMEDLiDwL0atVjN37lzW/LGewoJ8/APD6Nl/NM6uni9td2DXn+zevJqc7Aw8vf35uN8IfANCAEhLecKIz/Xn3f1ixDSiajch/uEdrh1YQXbyFeTFOXw1bBQdO7TH3NyUB4lK1h8sIi27/CSwLWsa0bKmsU5ZcqaS75bn65T5uEhoVcuIXZvmM7zvBvLycvGr+H76CPBdv4pl9ju4+vPRF/OwdfIuV/fJXb9x69I+MpIfYGBojLtfVRp3GI6dsy8A2emPmTemsd62PT/pTafOXcuVfeL4MVavWk5KSgqurm70+rQvkZFR2v0/z/qJgwf267SpFh7B5ClTtb8/7dWD1FTdnNwWxobIFEoCXOwY3a4elTycyj2GZ+y+cpfRf+yjYbAPsz9pqS1fsP8ce67eJTk7H6mBhGA3BwZFVyfESOPJWn/lHisv3CGjoJgABytGNqxKqIutXh3bbsYxae8FnTJDiZgzX36ot/73By6x8doDhjWoTPdq/tpytVrNka2/cOnYBooLc/GoUI1WPSZi95LreHznb9y6tJ/0JM119PCrSpOPhmH/9Do+I+HeZQ5tnk3ig2vMEKsI8HTl1+F9MDaUauusP3CKlbuPkZGTR4CnCyM/bkeor4devQcv3GDpjkMkpGSgUCrxdLLn4+b1aF27WrnHChAdKaV6kAEmRvAwWcWmYyWk55TvhWwWIaVZpFSnLDVLxfR1xQCYGGlkBnhIsDEXkV+k5sZDJYWW5ihy8/WJLINtnQh8h/XBqlooxq6OXOjwBSnbDr5W2xf58+oDVl66R0ahDH97S0bWDyPU2UZv3W0x8Xx7QDdHuqFEzOmBbbS/w+fqz9k+OF1EjzZN2bDvKKu3HyAjJxd/TzeG9+pESAVvvW22HDzJzuNnefD4CQCBPp580bltufWnLf6DzQdP8FWPDnRt2UhnX/sGZtSrZoypsZh7CXJW7swjNVOpV84zrC3EfNTEnEoVDDGUikjNVLJ0ay5xSQokYvigkRlhFYxwsJFQJHs/CbqFRZhvh2CACwj8i1m0aBGrVq2i96CJODi5smntQmZ+O5jvf/kTQ0MjvW3OntjHuqWz+WTAaHwDQtm37Q9mfDuYH379C0trW+zsnZi9bLdOm6P7NrN782rCqtUCIO7+LQxNbAhtNJkPooNpWduGkSOHI7GtT9+ebRn4oRnfrchD8ZJ3xpN0Jb/8VaD9/eJHG3xcJHzxoRljvl3AgR0r+XLkt3h6uLNs8a/vpY/PCApvzv2bJ4juMhZLWxfOHljO2tl96D95FwZS/fof3TlHRMPuuHpXQqVScnjzLNb83If+k3diaGSKpa0LQ2ec4PaVg+z74zsadRhOZlo8V46tY+Nff9IsujnW1mUNi9iYm0z/cSqf9PqUqKgaHDlyiO+nTGL23F/x9vbR1gsPj2DoV8O1v6VSaRlZ3T/uyafeYg7ffMiP244zpEVNwn1cWXPiKgOWbGfr8G7YmZvq7R9AYmYus3aepJqPS5l9XvbWjGlXD3dbS4rlClafuMqAxdvZ2juacwmpzDp6jW8aV6OSiy1rLt1l4KbjbO4dja2psR5NYG5owKbezbW/y5uQPnQ3ketJGTiYlZVzcvdizh5YRfs+P2Bj787hLXNYPasvA7/b+ZLreJ7Iht1w9dFcx0Mbf2b1zL588d0ODI005ybh3mXWzO5HnZaf0aLbOJpKj3In4QliUelR7j17lVnrdvDNJx9QydeTNftOMHDGEjb/MBxbS/Myeq3MTOjTphHeLg5IDQw4fiWWb5dswNbSjFqVyg4KARpWMaBOJQPWHSohM1dFdJSUfq2N+Gld8Uv/DpMzVfy2rVj7W/mc0WRlJsLSTMSOU3JSslTYWIjoUM8Qxe/fc6nLl+ULfQ6JmSm5126TsHwjEX/9+lpt9LHvTiKzjt/km0ZhhDrZsPbKAwZtPc2mHo2xNdV//cwMDdjUo3SgK3rhxtnbJ1rn96lHKUw+cIVGUVXZf/ois1dtYnSfLoRU8Gbd7sMM+WEeG2ZOxNbKooyui7F3iK4VQViAD4ZSKSu372fwtHms+2kcjrbWOnUPn7/CjXsPcbCxKiOnRW1TmlQ3YfGWXNKzlHzQ0JxhH1sz9teMcq+jqbGIbz614dbDEn5ek01eoQonWwMKijUX01AqwstZyvZjBSSkKDA1FjGur/4B77tE+BDP2yGEoAgIvAKVSsXIkSOxtbXF2dmZSZMmARAXF4dIJOLKlSvautnZ2YhEIo4cOaItu3HjBi1atMDc3BwnJyd69OhBenr6K/Wq1WpWrlzJgAEDqFa9Ph7e/vT78luyMtO5dPZoue32bl1L/Wbtqdu4LW4evnwyYAyGRsYcO7gNALFEgrWNvc528cwRIms3wdhEY3TUa9KWwNrDsHWtRrOaDuw7r+RWogXnjm9k5Z5CrMxFVK5Q1ujTPW+QV6jWbs9eFs/4sIExhy8Vc3D3aryrfkpoeD0sHX3fWx+f8TD2FHVbf0Hl2h/iE1ST9n1mkJedyu3LB8rV323oEirX/hAHN3+cPAJp0/sHcjOfkPTopka/WIK5lQNXT26kar1OVG/ai8f3LtGwUWOMjI3Zv2+vXrnbtm4hPDySDh074eHpSY+evfDzq8CO7dt06kmlUmxsbbWbuUVZg8HU1BR7CzO2XIjlw6gQOtUIxc/JlnEfNMBYasCW87Hl9k+pUvHNuv0MaBqFu21ZI6Jl1QBq+HvgbmdFBWc7hreuQ76shDvp2ay5eIcPQn1oF+qNr50lY5tUw9hAwtYbceXqQyTC3sxYu9npMbBT84qYfvgK37eIwkCi++pSq9WcPbCSeq37E1i1MU4eFWnf50fyslO5dan86/jxV4upUudDHN38cfYIpF2faeRkPiEp7qa2zt71PxDVuAd1Wn6Go5s/3i4ONIuqjKG01H+1Zu9xPqgfRbu6kfi6OTH2kw8wNpSy9dh5vXojgvxoFB6Kr6sTHo52dGtWB38PZ67cKf8c1Q2TcuCinJtxSpIy1aw7VIKlqYhQH0m5bQCUKsgrKt0KS21xkjPVrNxbQswjJRm5au4lqth9Vo5j60aIJC+X+4y0vce4M3E2KVvLP8+vw+rL9/gg1Iu2wV742lnyTaPKmvsm5lG5bUSge9+8MMB7fp+9mTFHHiQT4W6Pm5M9a3cepH2jWrRpUBNfdxdG9+mCsaEh24+c1qtryqDedGxWjwBvD7zdnBn7WXfUajXnb9zWqZeamc3M5RuYPLAXBnrOYdPqJmw/VsCV2yU8TlWyeEsu1hZiqgXqH2QAtKxtSmaOkqXb8nj4REF6toqbD0pIy9JY7EUyNTNXZ3M+RkZyhpIHiYpyZb1L1Op3s/2vIhjgAgKvYMWKFZiZmXH27FmmT5/O5MmT2b9//6sbojHIGzVqRNWqVblw4QJ79uwhJSWFTp06vbLt48ePSUtLo1atUo+tqZk5fgEh3L99TW8bhVxO3P1bBIeVhiyIxWJCKkdx//Z1vW3i7sUS//AO9Zq2LbPPzkqElbmYW/EKFCX5SI2sKC6BuGQl3i4vf0E72Ij5/jMLJn1qwSctTLCxKHVPmZuI8HExICH+MSWFGUz8sgEhnqZYmEjeex+LC3M5sXM+S7/vyJUTf2FkYo6bb2UeP3j9T4DLivIAMDErNVaVihKSHt3EJ6gWSY9ukJIQS3R0C6pUqcqtW/qN31u3YqhSVfcz4NXCI8rUv379Gt27fsTn/T7l13lzyc3NLSNrw4b11J20iBsJqRTKSlAoNe4qsVhEjQruXItPLrc/vx04j425CR9GBb+y73KFko1nb2JhbIiPrSWxKdlU93LU7heLRFT3cuJaUka5MopKFLRctIsWv+/kq60nuZ+eo7NfpVYzbs85ekYE4GdfdkCQnf6Y/Jw0fINL/1aMTS1w9w0j4f6VV/bhGbJC3etYkJtB4oOrmFnasmRqF2Z8VZu+0xZy+c7D5/qvIDYukerBpeEwYrGY6iEVuHY//pU61Wo1Z2PuEZeURrWKPnrr2FpoPNV3H5e6SItLID5VhZfTy1/jDlYixvc0Zkx3Y7o1NsTa/OUL3oyNQJGbj1r58pCId4lcqeJWag5RHg7aMrFIRJSHA9eTssptVyRX0mrZPlou3cvX289yP6Ps38EzMgqLORGXQrsQL+QKBbceJhAZGliqTywmMjSQ63cfvNYxF8tKUCiUWD43i6RSqZj46wo+bt0EPw/XMm0crMVYW0iIeSAv7YNMzYPHcvw8yndoVKloRFySggEdLZk93J6Jn9lQr5r+2SSB/z8IISgCAq8gLCyMiRMnAuDv78+8efM4ePAg/v7+r2gJ8+bNo2rVqkydWhqfu3TpUjw8PLhz5w4BAQFl2shkMmQyGXFxcQAYGRlRkifThmNYWtmRk6XfmMnLy0alUmJlrTv9aGllS9LjOL1tjh3Yiqu7D/6BlcvsszTVvNwT426S8mA/VZv/rNFToMLSrPwXeVySktV7CknJUmFlJqZFTSO+6mzO9yvykMnB3lojt5Kn5oW5/Ywpbl5Kgj1Nufqg4L31sUrdj7hyfAMdPp9DcnwMu9d8S4msEDMLOwpyXj1LAaBWqdi3biruFarh6FZ6PQvzs1CrlJhZ2nHlxF/Yu/gRFBzC6dOneJyQoFdWVlZWmdAUa2trsrMytb+rhUdQq1YdnJycSUp6wsoVy5g4YSwzZs5G8tTj1qZtO/wq+GN37zifL97GwRsPsDI1ZkSbOgDYWZjyME2/YXPp4RM2n4/lz6GdX9rvo7FxjFq7l2K5AnsLMxb2bYuopAilWl0m1MTW1Ii4TP3GkZeNBROjI/C3tyJfJmflxTv0XneYDZ80w8lCY9wsP38bA7GIrlUr6JWRn5MGgJmlnU65maU9Bbmvfx33rJuKR4VqOLprrmNWmuY6Hd06j6adRuLsEUT+mVn0n76IDd99jaezPdl5hShVKmytdENNbC0tiEtKK1dfXmERzb+ailyhQCwSM7pne2qEln0eAFiYav7W8op03YX5hWrtPn3EpypZd0hFWrYKCzMRzSKkDGxvxIz1xcjkZeubGkPTcCkJ89aXK/OfILtIhlKtxu6FUBM7UyPisvL0tvG2MWdCkyra+2bVpXv03nCcDd0b4WRhUqb+jtgEzKQGNPJzISs3/+k10505srWy4NGT8gemzzNv7RbsbayIes6IX7ltPwYSMZ2bN9DbxtJc89zLLdCN3cgt0Dwny8PBRkLDCBP2ni5k54lsfFwN6NbcAoUSTl0tLlPf4PUmL94aIQ3h2yEY4AICryAsLEznt4uLC6mpqa/V9urVqxw+fBhz87JxoPfv39cxwLdt28bEiRMpKSmhpKSExMREPDw8CAgI4JPPR9B30Ji364geSmTFnD62l7ad+gBgb2mAr4vm5VXNDxZs0cRw3zgyGd/wvth51HgtuTFxpVOgT9JVxCUrmNzXEmnufnav/Q6RCNZMF9Fn6C8AJGWoeJQqw8rMAEfrl4e2vCnP9/HU0d2sWDANAJVaRJfBv3Hl+AYc3ALwDalDSUkRp/cuwd23ymvL3732W9Ke3OWTkWv17lfIS7hxdgd1W3/xLrpD/foNtf/39vHBx8eXvn0+4fr1a1SpovGef/BhRwCM8jShFF1rV2LF0St82aImhi95OxfIShi7/gATOzTExqysEfM8kX5u/PllZ7ILitl4LoYRa/Yyq3X1N+5PZVc7KruWGs5hrnZ0WL6Xjdce8EXtUGJSsvjj0l3WftwE0dMg3yK5grnHrjP/5A0U4l10+3LhG+t9kZ1rJpOaeJdPR5deR7VaYyiF1+9M1TodAGjn24ZzMffYevw8gz9q8bf1mRkb8cfkLykqLuFczD1m/bEDdwdbIoL8kNi7Y/T0Hvw+QsKSnbK/peNWfKmhl5SpJj5FxtiPTajsJ+HcLV0Pt5EU+rY0IiVLzYPJ8/52v94XYS62hD23sDfMxZaOqw+x8UYcX9QMKlN/a0w8LSq6Y/QOrNMVW/ex//RFFowfitHThbixD+JZt+cwq6aO1t6nTZo1o8/IbzCQSJgfKmb22pyXiS0XkQjinijYdEjzPI5PVuDmaECDcJMyBrhEDAM+KjtL9E/wvxw+8i4QDHABgVfw4gI3kUiESqVCLNZ4LJ7PhSqX67qV8vPzadOmDT/++GMZuS4uuovbGjVqROXKlbUGeElJCV26dOH06dMUGnpr6+XmZODpU46nzMIasVhCTnamTnluTiZWNnZl6p8/dYiSkmJqN2wFQGa+gvwHmuwHW49BScFjIIjgiA6InTqW6jET8zj19aeoi2SQmqWkVp2GpJYEYm0u4stO5mw4qPGKlhRlAg4UlagwlIr/sT5KDQ3xCwgF4FGmOUp5CaAJNbCwdsTNpzIndswnPycNZ69Xh1/sWTuZu9eO0HPEaixtnXX2mZrbIBJLuH3lAPKSYirVbA/kkZ2dhY2t/gVSNjY2ZGfreqazs7Oxtil/QZWziwuWllYkPUnUGuBaeabGSMQi7MxNUahUPMnKxdvBhoy8Quwtyi7ATMjI4UlWHkNW7NSWqZ7e39XGzGfr8O542Gle7qaGUjztrfG0hzAvZ9pMX83R+0+QiERkFuoaBZmFMr1x3fqQSsQEOlqTkK0xNi4nppNZKKPlol3aOkq1GhFgbWpMl282o1DoXsdnFOSm4+RR1hh7kV1rJnP36hF6jdK9juZWGlkOrrqedx9XR5IzsgGwtjBFIhaTmaObNSQzNw87PYv5niEWi/F0sgegopcrD5NSWbrzMBFBfigzkynKPwzAnJg6Wo+mhYmIvMLS5425qYgn6a+/Eq64BNJzVNhZiYHSv18jKfRrbUSxHJbvkVFX8X5iiJ9hbWKERCQio1B3oJFRKMO+nIW7LyKViKnoYMXjnIIy+y4nZvAoK58fmkdo9FmaP71mut71zJw87KwtX6pn9Y4DrNi2j3nfDMbfy01bfuXWPbJy82k7eLy2zNjEhOMnT2NvbYVHnYUYPLW4LM3E5OSXXjdLMzHxKeWf8+w8FU/SdPc/SVcSHqQ7YyARw4COVthbCdHF/x8QDHABgb+Jg4MmXjEpKYmqT+N2n1+QCVCtWjU2btyIt7c3BgYv/3MzNzfX8ZSr1WocHBy4fv06QTU1mRGKCvO5f+cmDZt31CvDQCrF2y+QmGvnCa/RANDEJcZcO0/jlh+VqX/swFaqRtbD0srmaV0ofjqvGPfgHhd3DGTYx/to0rIbhy5qjBxjQ/B2lnDiaslL+/M8hlJN2IlMZYqplQclgJWdBcFBMgxN7chIPA9UxMRQzOOU7H+0jyYmZgDkGViiVqsxt3Ig7tZpnD2DSEmIxcjEkidx14lo2L3c/qjVavb+MYXbl/fTY/gqbBzKppuTGBji4hVC7MU9BFRuhJmFLSpVDlevXKF1m7Kx6ACBgcFcuXKZdu1LU/BdvnyJwMDyjcj09DTy8nKxtS07+JAaSAhyc+DYrTjEIhG2ZiaoVGrO3ntMl1qVytT3cbDhr6+66JT9uvcsBbISRrati7NV2ZmcZ6jUapQqNUFO1pyLT6VhBTdt+bn4VDpX8Su37fMoVWrupedS20djCLcK8qS6p6NOnYEbj9Mq2Iu2Id5cdfLSXscHsZrrCCAryufxg2tENCg/5aNarWb32incunSAT0auxMbBXWe/tb0bFtaOpCc/1CmPT06nVpjmb1JqYECQtxvnYu7RMFyTBlOlUnEu5h6dG+tm3HkZKrUaufypUaxSoC7WGFwZuZq/x9wCNf7uEp5kaMqNpODpKOb0zdc3lg0NwM5STF5hWeNbqYRlu2UvzajyT6EZdFlxPiGNhn4ax4RKreZ8QhqdKuuPi38RpUrNvYxc6niVTa+5JeYRQY5WBDhoBo9SAwMCfTw4f+M2DSI1YWkqlYoLN2/zUbP65epYuW0/y7bsYe6YQQT7eensa1E3iqhKgTplQ6bNo17lANrUr8nsi5oTm52nJNhXSsJTg9vYUISvu5TDF4rK1XsvQY6zna7n3tlOQkZOqRH/zPh2tJPw04os5oxweFHMO0f9zmJQ/jc/xCMY4AICfxMTExNq1KjBDz/8gI+PD6mpqYwbN06nzsCBA1m0aBFdu3bVZlK5d+8e69atY/HixdqYXX2IRCJ69uzJggUL6C1xwN7RjU1rF2Jja0+16qUviR/HDyC8RkOatNIs7Ixu141Fc77Fp0IQvv4h7Nv+B7LiIuo2bqMjPyUpgTsxl/lq/Owyuh8/useF7V9g71GDI5dKaF7LlCfJ2WTkqGjfyJGcfDVX75V6+wd3NOPqPTnHrmiM8g/qGXP9gZzMXE1sY6taRqhUcPFWaZsD52W0qmVMjQbdOX1wKQm3fLEReTNl2qz30sc7Vw9RkJtBcGRLjm//lczUR1w7uRkrO1eUSjkVqzbR1l098xMqVm1KZKOPAdiz9ltunN1Bp4HzMTQ208YgG5lYIDUs9diFRLVm//qpWNm5kp50n/mb5lEsK6ZJU016tJkzpmNnZ0ev3poQoLbt2jN61HA2bfqLyMgojh09wr27dxg0WJMSrqioiD/WrqJW7brY2NiQlJTEsqWLcHFxpVp4OACxsTHcuX2LSmGVEWXkEOrhyLpTN6ji5Ux6XiGzd5+mSK6gfYTGUB27/gCOlmZ82aImRlID/J11DXkLE42X7Vl5YYmcxYcu0CDIB3tLU7ILill3+jqpuQU0DXDHx86SiXvOE+xkQ4izLWsv3aVIrqBtiDcA43efw9HchMF1NQOA30/HUMnFFg9rc/JkclZeuENSbgEfVNIYXtYmRlib6Hr6DCRi7MyM8ba14Cqav5XqTXpyfMdC7Jy8sbZ34/DmuVhYOxJYrfQ6rvypF4HVmhDVWHMdd62ezPWzO+gy+FeM9FxHkUhEreZ9OLL1F5w9KuLsEcT803uJS0pl+qCPtXK7R9dl4qI/CfZxJ8TXnbX7TlAkk9O2rsbjOv739TjaWGpDVpbuOEywtxvujnaUKBScvHqbXacuMabnB2Xu02ccvyancbiUtBw1mbkqmkdJyS3U5O1+xudtjLjxUMnJGxrjrnVNKTFxSrLy1ViaioiOlKJSw+W7pUb8Z22MkBqIWHFQhrEUjKVg5GSPLC3ztfLMScxMMatQmrPf1Mcdy8qBlGTmUJyQ9Mr2z/i4agUm7r9EkJP10zSE9ylSKGkbrJE9Yd9FHMxMGFxbMzP1+9nbVHK2wcPajLynMeDJuYW0D9H9fkC+TM6Bu0/4qm6ITnm3Vo35dsFKgnw9n6YhPESRTEbr+powu4nzV+BoY83ArprvCazYto/fN+xkyqBeuDjYkp6tCScxNTbC1NgYawtzrC10B6gGEgl2VpZ4uTrBRU3Z/rNFtK5rRkqGkrRsTRrC7DwVl26Vev+H97Dm0i0Zh85rjPJ9Zwr55lMbWtUx5fxNGT5uBtSvZsKKHZoZRIkYvvjICi8XA+b8kaMNgfmnEWLA3w7BABcQeAuWLl1Knz59CA8Pp2LFikyfPp1mzZpp97u6unLy5ElGjRpFs2bNkMlkeHl50bx5c20Iy8vo168fRUVFLJs/lcKCfAKCKjNswlyd/NipyYnk5WZrf1ev04y8nGw2//EbOVmaUI5hE+diZa1rWB0/sA0bO0dCq5SN6z5/6hDy4iyS7u7mmy92kzxkCJ07dcLS0oqHySLmbyrQ8ZTZW4kxNyl96Fubi+jd0hRTY83HPR4kKpj5RwH5zy0iO3K5BKmBiB+/7c9yTwWzf5pMbm4e/u+pjxKJARcOryEzJQ6lUs6V4xsAERY2TrToPkknd3RWWgKF+aWhIReP/AHAqhk9dGS26TWNyrVLvdcFuRkYm1oSe3EPFw6vxs/Xl8mTv8fGRuONT0tLRSwuPW9BwSGMGDmGVSuXs3L5MlzdXBk7fpI2B7hYLObhw4ccPLCfgoICbG3tqFqtGh/36IVUaghoQqaOHT3C2jWrUMiKcbO1pH6QN7eT0uk0Zz0VXe2Z/2lr7J6GoCRn5+nktH4VEpGIh6nZbLu4h+yCIqxNjQnxcGRZ/w/wMwQ/eyuyCmUsOBVDRmExFR2smPdhHW0ISnJeoY6+XFkJU/ZfIqOwGEsjKUFONizr2hBfu5eHArxI7RZ9kZcUsX3FBIoLc/H0D+fjrxbpXMfMtHid63jh6XVcMb2njqx2vadSpY7mOtZo+gkKuYy9636gqCCHIE8H5o/oi4dj6b0WXb0yWXkFLNi8j4ycPCp6ujJv2KfaEJTkjGydPhfJSpi2agupmTkYGUrxdnFgymddiK5ediH0Mw5fUWAoFdGxviEmhpoP8SzaoeuxtrMUYWZcqsfKTET3poaYPf07fJik4pdNxRQ8jRBydxDj5aRxAozp/lzMf6+THKrQiKJHiS895wBW4aHUPLhK+zt4xjcAJKzcxLU+r79upVmAG1lFMhaeuUVGgYwAB0t+aVdDm1owOa9Ix7DMk5Xw3aErZBTIsDSWEuhozdKP6pa5b/bdTUQNRAfozm40rRlOVm4ev/+1g4zsPAK83JgzeqA2BCUlPUvnmm3afxy5QsHo2Yt15PTt0JLPOrZ67X7uPlmIkVTEJ20sMDUWczdezqzV2TrX0dFWgoVp6fsh7omCX9fn0KGxOW3rm5GWpeSPvXmcua4x2q0txFR9msbw2/7/fP5vgXeDSK0WwugFBP7tnI4tP73WP8Wa3e/30dC9xfudhryX9mYG3rughlv5OY3/CTyu6/8S4D+FMiXl1ZXeMVtDvnuv+tpJ3u85nXil2asrvWMaDqn66krvkPqz9X+19p9CWfP9n9Ovtoe9utI7ZOlEx1dXekt+/OvdfIlnVMf/zZh1wQMuICAgICAgICDwRqiEGJS34n9z2CEgICAgICAgICDwH0LwgAsICAgICAgICLwRQgDz2yEY4AICAgICAgICAm+EYIC/HYIBLiAgICAgICAg8EaoBAv8rRBiwAUEBAQEBAQEBATeI4IHXEBAQEBAQEBA4I1Qv5sshP+zCAa4gICAgICAgIDAGyF8RubtEAxwAYH/Bzgapb93nf7+Pu9Vn7k09b3qg/f/IR4R79dllHX8zHvVl5+c/V71AVwVFb9Xfe0NLr9Xfba2bd6rPnj/H8Y5OvT9ftyo4ZHq71UfQMKdhPes8Z//EI/A2yEY4AICAgICAgICAm+ESghBeSsEA1xAQEBAQEBAQOCNEEJQ3g4hC4qAgICAgICAgIDAe0TwgAsICAgICAgICLwRKsEB/lYIHnABAQEBAQEBAYE3Qq1Sv5PtnyIzM5Pu3btjaWmJtbU1ffr0IT8//6VtGjRogEgk0tn69++vUyc+Pp5WrVphamqKo6MjI0aMQKFQvPHx/eMG+JEjRxCJRGRnZ//Tqv4xvL29mT179n/6MN6YW7duUaNGDYyNjalSpcobt4+Li0MkEnHlyhWg7LVcvnw51tbW7+x435QGDRowdOjQdy530qRJf+t8CQgICAgICPw76N69Ozdv3mT//v3s2LGDY8eO8dlnn72yXb9+/UhKStJu06dP1+5TKpW0atWKkpISTp06xYoVK1i+fDkTJkx44+N77yEoR44c4eeff+bcuXPk5ubi7+/PiBEj6N69u0692bNns2DBAuLj47G3t6djx45MmzYNY2NjbZ1ff/2Vn376ieTkZCpXrswvv/xCVFRUGZ0+Pj4sWrSIJk2avJM+fP755xw4cIAnT55gbm5OrVq1+PHHHwkMDNTWGTJkCCdPnuTGjRsEBQVpjdhnxMXF4eNTNs3b6dOnqVGjxjs5zokTJ2JmZsbt27cxNzd/a3m1atUiKSkJKyurvy2jQYMGVKlS5V89oBk+fDiDBw/+Tx8GAGvWrGHJkiWkpqbi4+vLgAEDqFixYrn1jx8/zqqVK0lJScHVzY1Pe/cm8rm/iZYtWuht92mfPnTs2JGUlBT+WLuWq1evkp6RjZmVI/5VW6NWqbh1fhOyolxcfKpR78OJWDt4l3scN079wY3Tf5CXmQiArXMFIpoMJDczgStHllCQm4ZKKddpM//pv1+P/pZadRsCcOr4YdatXkJaSjIurm583Ls/1SJratuo1WrWr17Kgb3bKSzIp2JQJT4b+DUubh7aOj98O5q4h/fIyc7GzNycsCoRfNy7P+CklbFx4RDuXDmISqVEYmBIVOOeNO44otz+ndz1G7cu7SMj+QEGhsa4+1WlcYfh2Dn7auvk56Rx4K/p3LlykJLiQgBcXV0YPmLUK67hMVavenoNXd3o/emnREbqPtfi4+NZtmwJN65fR6lU4unpyTdjx+PoWJp6LDY2hjWn7xCbXYBYBBUsTfmpuj9GEjGmtZti1qA1Egsr5E/iyd28AnnCfb3HYztgHEYVgsuUF8dcJmvJT3rbWDVtjU2rDkisbCiJf0jqigXIHtzRW9dt7A+YBoeVKS+4fI4nMyYBILG0xr5rb0wrVUNsakbRrRukrViIPOWJXpnPaBpuQFSQASaGEJesYvMJORm55XvcmoQb0DRcqlOWmq1i5p+yMnXXX7rLirOxZBQUE+Bozagm4YS62umVu+36AybuOqdTZigRc3Z4JwDkShXzj1/jxP0kHufkY24kpbqXM0PqVwaz0jb1QkVU8RVhJIXH6bDnooqslzv0tNQMFNGwsphzd1QcuFx6DlpEiPB2EmFuDHIFPM4A0REH1h89y8pL98golOFvb8nI+mGEOtvo719MPN8e0E3PaCgRc3pgaQrF8Ln6Uw1+WTsYr9frAgC2dSLwHdYHq2qhGLs6cqHDF6RsO/gGEkpZf/A0K/YcJyMnnwAPZ0Z1b0Oor4feugcv3mDJjqMkpGagUCrxdLKnR3QdWteqqlPnryPniI1LJKegiHWTBlHR07WMrE86uNCioQPmZhJu3sln7tJ4ElPK3mPPWDU7FGcHozLl2/an8styTXpDF0dDPuvmTmhFc6TS9xPc8G9egxkbG8uePXs4f/48ERERAPzyyy+0bNmSGTNm4Opa9ro8w9TUFGdnZ7379u3bR0xMDAcOHMDJyYkqVaowZcoURo0axaRJkzA0NHztY3zvBvipU6cICwtj1KhRODk5sWPHDnr27ImVlRWtW7cGYO3atYwePZqlS5dSq1Yt7ty5Q69evRCJRMyaNQuA9evX8/XXX7Nw4UKqV6/O7NmziY6O5vbt2zovoWvXrpGVlUX9+vXfWR/Cw8Pp3r07np6eZGZmMmnSJJo1a8bDhw+RSCTaep9++ilnz57l2rVr5co6cOAAISEh2t92dvof4H+H+/fv06pVK7y83uTxVj6Ghobl3pT/TZibm7+TAcvbsmvXLqZNm8a3336Lra0tW7ZsYfy4cfy+aJHemYeYmBh+/OEHevXuTVRUFEeOHGHKlCnM/eUXvL29AVi9Zo1OmwsXLjBn9mxq164NQEJCAiq1msGDBxNbUJ3M5LvsXzMclVJBdI+fsbB159zeOexY1JcuI3ZiIC37UgAwt3KiZsthWNl7AWpuXdjCrqUDEIlF1O/wLQ4eoVw5vJi4mMN8MHAtJmY2FN1fxtZNf1A1QpOj91bMdWZPn0z3Xp8RHlmT40cPMP27sUyfsxhPb42hu+WvtezavpFBX43B0dmVdasWM2X8cGYvXImhoebYQsKq8WHnHtjY2pGRnsbKJfOZMXU8nYZtAmDH8m+4dWkf1ep1wb9yI47v+JUz+5ZiZuVAjaa99Pbv0Z1zRDTsjqt3JVQqJYc3z2LNz33oP3knhkamAGxdOorstHgUchmNOgwjNzOZC4dXM/ab0Sxesqzcazj9xx/o1as3kVHVOXrkMN9NmcycufO01zAp6QkjRwyjWbNoPv64B6ampjx69EjnwR8bG8OE8ePo7mnDkFAPJCIR93MLEQHGVWpg2fZjcv5aijz+HmZ1W2D72WjSfhyGKj+3zDFlLf8ZkUHpq0Jsao79sB8ovnZW/7WvUQ/77v1IWzqP4vu3sG7eHrfRU3g0/DOUuTll6ifN/g6RQanRKzG3wHPar+SdO6Etc/l6PCiVPJk1GVVRITYtPsDtm6k8Gvm53mMAqF/ZgNqhBvx5pITMPDXNIqT0aWnIrA0yFMpym5GcqWLRzlJjSF+qtb2x8cw8dJmxzSIIdbVj7YXbfPHnEbb0a4WtmXHZBoC5oZTN/Vpqf4tEIu3/ixUKYpOz6FcrhABHa3KLS/jp4CWGbjpG1BeaOjUCRUT4i9h+VkV2AdSvJKZLfTG/71ahfEU6OBdbqOonIiW7rMWUlAk3HqnILQBjI6gbIuawsRezTizlm4ZhhDrZsPbKAwZtPc2mHo2xNdX/N29maMCmHo2f698L56xPtM7vU49SmHzgCo0quHKfmJd34DkkZqbkXrtNwvKNRPz162u3e5G9564xc/0uxvZoT6ivO2v3n+KLWcvYMvVrbC3LPv+tzEzp27oB3i4OSA0kHL96i0lLN2JraUat0AAAimRyqvh70TSyElOWb9art3NrJ9pHOzL9tziSU0vo9ZEr00b702fkTeRy/RbtoPG3ED9nU3u7mzD9mwCOns0CwNhIzA+jA3gQX8iIqZqB7qIfQvSJeqeo3lH4iEwmQybTHYAYGRlhZKT/XnsdTp8+jbW1tdb4BmjSpAlisZizZ8/ywQcflNt2zZo1rF69GmdnZ9q0acP48eMxNTXVyq1UqRJOTk7a+tHR0QwYMICbN29StWrV8sSW4Y2HSTKZjCFDhuDo6IixsTF16tTh/Pnz2v27du0iICAAExMTGjZsSFxcnE77b775hilTplCrVi38/Pz48ssvad68OZs2bdLWOXXqFLVr16Zbt254e3vTrFkzunbtyrlzpR6EWbNm0a9fP3r37k1wcDALFy7E1NSUpUuX6ujbunUrzZs3RyrVPOA3btxISEgIRkZGeHt7M3PmTJ36qamptGnTBhMTE3x8fFjzgsEC8Nlnn1GvXj28vb2pVq0a3333HQkJCTp9nTt3LgMHDsTX17dM++exs7PD2dlZuz07zlehUqmYPHky7u7uGBkZUaVKFfbs2aPdLxKJuHjxIpMnT0YkEjFp0qRXyjx37hxVq1bF2NiYiIgILl/W9Wi8KpyoV69etG/fXqds6NChNGjQQLv/6NGjzJkzRxtb9eyc3bhxgxYtWmBubo6TkxM9evQgPb304zMFBQX07NkTc3NzXFxcyly3lzFv3jxCQ0O1v7ds2YJIJGLhwoXasiZNmjBu3DigbAjKs37NmDEDFxcX7OzsGDhwIHJ5qQdXJpMxfPhw3NzcMDMzo3r16hw5ckS7/9GjR7Rp0wYbGxvMzMwICQlh165dLz3uZcuW0alTJzp06ICnlxeDBg/GyMiIffv26a2/detWwiMi6NixI56envTs2RM/Pz+2b9+urWNra6uznTlzhrCwMFxcXACIiIjg66+/plp4OFZ2HngHN0QkEiE1NMEntDH2rhVp3OVHCnJTeXjjQLnH7h3SCK+g+lg7eGPt4EONFl8B4OwdTlBUB+xdNHKkhqY8ij2CqaUDZ08fp1adhpiYaB50u7b9RZXwKNp16Iq7pzdde/TFxy+A3Ts0zwq1Ws3OrRvo0LkHUTXr4u3jx+BhY8nKzODc6VLjrc0HnQgIDMHB0ZnA4Ep88FF37t6OQamQo1aruXl+J45uAbTs8S3+YfXpNnQJIpGIEzvnl5tmq9vQJVSu/SEObv44eQTSpvcP5GY+IenRTW2dx/cvo1ZDtXqdqdW8H827jcfc3ByxWMy+fXv1yt22dQvh4RF06PgRnp6e9Oj5CX5+FdixfZu2zsoVK4iIiOTTPn3x86uAi4srNWrU1DHoF/3+O23btqN7BWd8LEzwNDemoasthhIxZvVaUnjmMEXnj6JISSRn4xLUchkmUfqdFOqiAlR5OdrNMKASarmM4qv6DXCbFh+Qe3gPucf2U5KYQOrSeahlMizrN9NbX1WQjzInS7uZVqqKqkRG/tnjAEid3TDxDyJ16TxkD+4iT0okddmviKSGWNRsoFcmQJ1KBhy6rCDmkYrkTDV/Hi7B0lREiLek3DagMbjzi0q3Qj2OydXnb/FhZT/ahfniZ2/F2OhIjKUGbLn+oHzBIrA3N9Fuds8Z6hZGhizs0pBmQZ5421kS5mbP6KbhxCZnkZ+t8fJHBYg4GaPm7hNIy4HtZ1VYmEBFN1F5GjXnzwDa1hCz64KK4pKy+688UJOQBjmFkJIFR6+rWLFuAx9UDaBtsBe+dpZ806gyxgYStsY8eln3sDcz1m52proDkef32ZsZc+RBMhHu9rhbmekXWA5pe49xZ+JsUraW//x5HVbvPcGH9SJpVzccPzcnxvZsh7GhIVuOX9RbPyLQl0bhIfi6OuLhaEe3prXxd3fm8p3Sc9K6VlU+b9uYGsEVytX7QXMn1mxJ5vTFHB4mFPHjgofYWUupHW5dbpucPAVZOaVbjapWJCYXcy1WM/0REmCGk4MhP/0WR1xCMXEJ7+fjVGq1+p1s06ZNw8rKSmebNm3aWx1bcnKyjjMWwMDAAFtbW5KTk8tt161bN1avXs3hw4cZM2YMq1at4uOPP9aR+7zxDWh/v0yuPt7YAB85ciQbN25kxYoVXLp0iQoVKhAdHU1mZiYJCQl8+OGHtGnThitXrtC3b19Gjx79Spk5OTnY2tpqf9eqVYuLFy9qDe4HDx6wa9cuWrbUeA9KSkq4ePGiTkiJWCymSZMmnD59Wkf2tm3baNdO81Wvixcv0qlTJ7p06cL169eZNGkS48ePZ/ny5dr6vXr1IiEhgcOHD/PXX38xf/58UlPL/0JfQUEBy5Ytw8fHBw8P/VNXL6Nt27Y4OjpSp04dtm3b9uoGT5kzZw4zZ85kxowZXLt2jejoaNq2bcvdu3cBSEpKIiQkhGHDhpGUlMTw4cNfKi8/P5/WrVsTHBzMxYsXmTRp0ivbvClz5syhZs2aOvFVHh4eZGdn06hRI6pWrcqFCxfYs2cPKSkpdOrUSdt2xIgRHD16lK1bt7Jv3z6OHDnCpUuXXktv/fr1iYmJIS0tDYCjR49ib2+vNZDlcjmnT5/WDhT0cfjwYe7fv8/hw4e1MV/P3zeDBg3i9OnTrFu3jmvXrvHRRx/RvHlz7fUYOHAgMpmMY8eOcf36dX788ceXetlLSkq4efMmtWrV0paJxWKqVKnCrdhYvW1uxcZS9YXY9fDw8HLrZ2Vlcf7cOZpFR+vdD5Cb+Ri5rABTi9KZGSMTC5w8w0h+dKXcds+jUim5fWErarUS39DSv1mRWIy7f02SH10h9fEN4h7cpVGzVtr9d27dJKxKuI6sKtWiuHNLY+SmJieRnZVJWJVSD4eZmTn+FYO4c+uG3mPJy8vl+JH9VAwKRWIgJTv9MQq5DAtbF20dY1MLrB08KC7IIScj8bX6KCvKA8DErDQ8y823MtnpCbj6VEatUnHz3E7kcjlhYZW5dauca3grlioveFCqhYdr66tUKs6fP4ebmxvjx31Dt66d+Wrol5w+dUpbPzs7m9u3b2Flbc3Ak7f4YN9Vvjx1m2uZ+SCRIHX3QXb3ufOjViO7cwNDL//X6qtp9QYUXz6DukSPZSoxwMinAoU3rujIL7xxBWP/wLL19WDZIJr800dRP/WIiZ46JdTy56xHtRq1Qo5JxbKhMQC2FiIsTUXcTSx1dRfLISFVhafjy1979lYixnY3ZmQXI7o0lGJtpmvgypVKYpOzqO5V+hIWi0RU93biWmJGuXKLShS0WLCN5vO3MnTjce6nlZ0NeJ48mRwRYGhsibUZmJuIeJhSOiCUyeFJBrjZv1QM0dVE3H+iJi7l5fUApBIIcZdz8+ZNopytdfoX5eHA9aSs8vsnV9Jq2T5aLt3L19vPcj+j7GzKMzIKizkRl0K7kHczO/umyBUKYh89ofpzhrJYLKZ6sB/X7se/sr1areZszD3iktMIr+j92nqdHQyxs5Fy+WbpuSksUnHrfgHB/q83EDGQiGhcx469R0vvNamBGNSU60H/tzNmzBhycnJ0tjFjxuitO3r06DKLJF/cbt269beP5bPPPiM6OppKlSrRvXt3Vq5cyebNm7l/X3+I3tvwRiEoBQUFLFiwgOXLl9PiaSzpokWL2L9/P0uWLCErKws/Pz+td7JixYpaY6M8/vzzT86fP89vv/2mLevWrRvp6enUqVMHtVqNQqGgf//+fPPNNwCkp6ejVCr1jkKeP/GJiYlcu3ZNe6yzZs2icePGjB8/HoCAgABiYmL46aef6NWrF3fu3GH37t2cO3eOyMhIAJYsWUJQUFCZ454/fz4jR46koKCAihUrsn///jeK/TE3N2fmzJnUrl0bsVjMxo0bad++PVu2bKFt27avbD9jxgxGjRpFly5dAPjxxx85fPgws2fP5tdff8XZ2RkDAwPMzc1fK2xk7dq1qFQqlixZgrGxMSEhITx+/JgBAwa8dp9ehZWVFYaGhmXiq+bNm0fVqlWZOnWqtmzp0qV4eHhw584dXF1dWbJkCatXr6ZxY80U54oVK3B3d38tvaGhodja2nL06FE6duzIkSNHGDZsGHPmzAE0nn+5XK5j7L6IjY0N8+bNQyKREBgYSKtWrTh48CD9+vV7Go+7jPj4eG1c2fDhw9mzZw/Lli1j6tSpxMfH06FDBypVqgTwypmRrKwslEplmZAkaxsbEh4/LreNtY1NmfpZWfpfmgcOHMDExEQbfqKPtITrAARGdtApNzG3pzAvXV8TLRlJt9n4S1eUChkGUo03zNEjVKeOiYU9WakPiT27EXcPLwKDK2n3ZWdlYm1tq1PfytqG7KxMALKyMrR91K1jq63zjFVLF7Bnx2ZksmICAkMYM/EH7udr4rQBHt06y8PY03hXrE5m6iNteX5OGtb2L7/P1CoV+9ZNxb1CNRzdArTlzbuOZ+GElmxbOpIdK75BamjMuPETuHL5MtevX9crKysrq0xoirW1tfYaZmdnU1RUxIYNf9Kj5yf06t2Hixcv8P33U5j2w49UqhRGcnISAGvXrOYLX3sqWJqy93EGw87cYXWb2rhIJKjydI0/VX4OBo7lx0Q+Q+rhh9TFk5z1i/Tul1hYIpJIUObo3nOK3GxMXV/toDDyDcDIw5uU32dry0qeJCBPT8Wuc29Sl/yCSlaMTYv2SO0cKHnh/niGhanGaM4v1DVI8ovUWJiWrz8hVcWfR0pIy1FjaSqiSTUD+rc1ZNZfMkqeTnhlFZagVKvLhJrYmRoTV47R6WVrycSWUQQ4WJMnk7Pq3C16rT7AX31a4GRZ9oBkCiVzj1ylebAXhsbmPFNV8IJjs6BYTTkRLwAEe4hwthGxbP/LY1SqVRDRKEyEoVTErftpmmePie5srJ2pEXFZeXrbe9uYM6FJFfztrciXyVl16R69NxxnQ/dGOFmYlKm/IzYBM6kBjfxc9Ej758nKK0SpUpUJNbGzNCcuKa3cdnmFxUQP+wG5QoFYJGZMj7bUCHm9gSuArbXmnGbl6K5/ycqRY2P9erPftSKsMTeVsO9YqQEee6+AYpmKvl3cWPpnok540z+J+h19CfNNwk2GDRtGr169XlrH19cXZ2fnMs5ThUJBZmbmG4XSVq+uCYm8d+8efn5+ODs760RjAKSkaEa3bxqi+0YG+P3795HL5TovbKlUSlRUFLGxsWRlZWkP9hk1a9Z8UYyWw4cP07t3bxYtWqQTB33kyBGmTp3K/PnzqV69Ovfu3ePLL79kypQpWuP5ddi2bRt16tTRvtBiY2O13vBn1K5dm9mzZ6NUKomNjcXAwIDw8FKvW2BgoN5Yze7du9O0aVOSkpKYMWMGnTp14uTJkzqLRF+Gvb09X3/9tfZ3ZGQkT5484aeffnqlAZ6bm8uTJ0/KGE61a9fm6tWrr6X/RWJjYwkLC9M5/pddu3fJ1atXOXz4sF6P8P379ykqKqKkpETn3rK1tX3pQrbnEYlE1KtXjyNHjtCkSRNiYmL44osvmD59Ordu3eLo0aNERkZqY7z0ERISohPf7+LiojWirj9dCBcQEKDTRiaTaQ3oIUOGMGDAAPbt20eTJk3o0KEDYWFlF549a/csVVJBQQG5ubnIZLK3iofTx/59+2jYsKHOwPHwoUP88ssvACiUIgxNLAAICG+jV8bLsHbwofPXm5EV53Hr/CZunFxLbuZjnL11PbxqtYq7l3fQpXuPt+jNy2nXoSuNo1tzaN9Otm5cR5/u7ZBIjekyWDPwr1z7Q9b/8jlKpQIjY3MsbVxIT7qHSPTqScLda78l7cldPhm5Vqf81J7FADTrMg6vgEhuXz7AD9OmUrNm+QO9V/EsJKZGjZp88MGHAPj5+REbG8OuXTupVClMG5fZokVLWhTeA8DfypRL6XkcfJJFlb+tHUyqN0D+JL7cBZtvi1WDZsjiH+ou2FQqSfr5O5w++xK/RX+iViopvHGZgivntYHGVSpI+LBuqQGzbI+eWIvX4HZCqUWRnKkmPrWEMd2Mqewr4fztlwSOv4LKbvZUfs5VXdnNng6Ld/HXlXsMrKf7HJArVWzMMeGPPYcwkkpQIObP429u6ViYQNNqItYeeXWM+M1Hah4mqzE3gQrPxvzil4fqPE+Yiy1hLrY6vzuuPsTGG3F8UbOsA2trTDwtKrpjZPD6Ov4NmBkbsm7SYIpkMs7G3Gfmul24O9gSEajfoWLjFYBJdY3TaFu4iHE/3XvrY2jRwI5zV3PIyC414nPyFEyZe58hvb1oH+343hZHqv4DqzAdHBxwcHB4Zb2aNWuSnZ3NxYsXtTbdoUOHUKlUZezUl/EsgcazMM2aNWvy/fffk5qaqg1x2b9/P5aWlgQH65+RK4//2Id4jh49Sps2bfj555/p2bOnzr7x48fTo0cP+vbtC0ClSpUoKCjgs88+Y+zYsdjb2yORSLSjjmekpKTojEC2bdv2Wt7kv8OzOCV/f39q1KiBjY0NmzdvpmvXrn9bZvXq1dm/f/87PMr3i1gsLhMz+3ycdHnk5+fTpk0bvTMlLi4u3Lv39g+tBg0a8Pvvv3P8+HGqVq2KpaWl1ig/evToKxfpvhibLxKJUD1dnZWfn49EIuHixYs6RjqgHVT07duX6Ohodu7cyb59+5g2bRozZ87Um23l2cJLf39/mjdvTkFBAYOHDOHLL78kOysLWxv9mQhsbGzIfsHbnZ2VhY2e+jdu3ODx48eMfmGar3qNGlQMDCQ7K4tJ38/CzqUij2JSKcrLwMyyNJ6uKD8dO9eyL9bnkRgYPl2ECXbOAdw4uZZbF7YQUK3UmC/KS0etVqGQF1O/cXOd9tY2tmRn63qyc7KzsLaxfdpfu9I+2to/VycTb1/dGExLK2ssrazp0Lkn4VE1GT9yMO17TcXUXHNuqtbtRHTXceTnpGNmYcPiKRrj1trh5V7bPWsnc/faEXqOWI2lbemzJzM1nmunNiESibGydcHJIxAnj0ByEo4TGxuDeznhajY2NmXWWGRnZ2uvoaWlJRKJBE9PT506Hh6exNzUhOY8C+fz8PSEW6V/O17mxjxKSUOtVCK20M1kJDa3QpWnq/dFRIZGmFSpSd7ev8qto8zLRa1UIrHSvecMLK1R5GSW0+qpfCMjzGvWJ/Ov1WX2yeLuEf/NYMQmpogMDFDm5eLx7c8UP7wLhBDzSElCaqmV+cyuMzcVkVdU+kwyNxHxJOP1jYbiEkjLVmNnWepRtDE1RCISkfmCOzqjsBg7s7LeXn1IJWIqOtmQkK2bwkSuVDFq60kyZGrauBhiaWTIctNBSJ6OA82Mdb3gZsb6F1aCZuGlmbGIPs1KB5FisQhPB4ioIOLHv1RaQ00m12xZ+RCfYoVEIiHbwgkoVZZRKMPe9PUcTFKJmIoOVjzOKSiz73JiBo+y8vmheYSelu8HGwtTJGIxmbm65z8jNx87K4ty24nFYjydNM+dip6uPExKY+nOo+Ua4DmJDym+oolV77/GHamB5j6ysZKSmV2aN9rGSsr9R4WvPG5He0Oqhlry7eyyA+CL1/P45OsbWJpLUKpgy6Iqr5T330xQUBDNmzenX79+LFy4ELlczqBBg+jSpYt2pjoxMZHGjRuzcuVKoqKiuH//PmvXrqVly5bY2dlx7do1vvrqK+rVq6d1mDVr1ozg4GB69OjB9OnTSU5OZty4cQwcOPCNnWRvFAPu5+eHoaEhJ0+e1JbJ5XLOnz9PcHAwQUFBZVzzZ86cKSPnyJEjtGrVih9//FFvTsbCwkLEYt1De2bYqNVqDA0NCQ8P5+DB0tRDKpWKgwcPar22+fn5HD58WMfjHRQUpHPsACdPniQgIEAbWqBQKLh4sXQRxu3bt1+Zw/zZQoIXV/G+KVeuXNGOsl6GpaUlrq6uevvypiOwZwQFBXHt2jWKi0sfuPqu3ctwcHAgKSlJp+zF9IuGhoYolbqepGrVqnHz5k28vb2pUKGCzmZmZoafnx9SqZSzZ0sXfWVlZXHnjv60Zvp4Fge+YcMGbax3gwYNOHDgACdPnnxp/PerqFq1KkqlktTU1DLH//yA0MPDg/79+7Np0yaGDRvGokX6p/GfxcOFhoby1VdfkZOTQ//+/VGpVFy5coVAPSFRAIF60l1evnxZb/19e/dSwd+/TCiMqakphoaGzPr5Z5y9qtD8k18wtXDg8d3StRUlxfmkxF/D2avKa54hjTEuNTLTLigDTejG43tnkBXl4h3cECsra502AYEhXL+qG+d/9fJ5AgI1s2WOzi5Y29hy/Wrp32thYQF3b8cSEKgb6vIME1NT7B0018TUwhZ71wqYWzkQd+s0YrEESxsnFPIS0pPuY+vojZmF/hAHtVrNnrWTuX15Pz2GrcDmBUNdUVIEgINrBR7Glp47sUhEeno6gYHlXMPAIK6WuYaXtPWlUin+AQE8fiEM6UliotYb4+TkhJ2dHYkv1EkoKMbeUIz88UOM/J/LkCASYeQfQsmju3qP6RnGlasjMjCg6OKJ8ispFcge3sM0pLKOfJPQKhTffXlcpnn1uogMpOSePFRuHVVRIcq8XKROrhj5VqDgoubclsghI1et3VKy1OQWqqngWjogNpKCh6OY+NTX9yYbGoCdpYjc50JZpBIJQc42nH1U6gBSqdWci0shzO31slgpVSrupWVj/5zB/sz4js/K5+d2UViU5KPOyyQrH9JzNeEz3k6lAwFDA3C1g8RyIsHiUmDRHiVL9qm025NMNTceqVmyT1Wul9TAwJCQ4GDO3o3T6d/5hDQquegf/Jftn5p7Gbl6DfYtMY8IcrQiwOHvp7N9W6QGBgR5uXI2tnSAqlKpOBd7nzA/z5e01EWtVlPykg+wqBRy1MUFqIsLeJIi41FiMRlZcqqGlBr5piZiAv3MiLlbdrDyItH17MjOUXD2cvnrB3LzlRQU/v3ZmjfhXS3C/KdYs2YNgYGBNG7cmJYtW1KnTh1+//137X65XM7t27cpLNQMfgwNDTlw4ADNmjUjMDCQYcOG0aFDB51EBhKJhB07diCRSKhZsyYff/wxPXv2ZPLkyW98fG/kATczM2PAgAGMGDECW1tbPD09mT59OoWFhfTp04e8vDxmzpzJiBEj6Nu3LxcvXtRZqAaasJPWrVvz5Zdf0qFDB+2qUUNDQ63npk2bNsyaNYuqVatqQ1DGjx9PmzZttIb4119/zSeffEJERARRUVHMnj2bgoICevfuDcCePXsICAjQpu4CTexQZGQkU6ZMoXPnzpw+fZp58+Yxf74mA3HFihVp3rw5n3/+OQsWLMDAwIChQ4diYlL6kHzw4AHr16+nWbNmODg48PjxY3744QdMTEy0i0RBEy+Un59PcnIyRUVFWsMoODgYQ0NDVqxYgaGhoTZlzaZNm1i6dCmLFy9+rWsxYsQIJk6ciJ+fH1WqVGHZsmVcuXJFb9aW16Fbt26MHTuWfv36MWbMGOLi4pgxY8YbyWjUqBE//fQTK1eupGbNmqxevZobN27opOXx9vbm7NmzxMXFYW5ujq2tLQMHDmTRokV07dqVkSNHYmtry71791i3bh2LFy/G3NycPn36MGLECOzs7HB0dGTs2LFlBmkvIywsDBsbG9auXcuOHTsAjQE+fPhwRCLRS+OgX0VAQADdu3enZ8+ezJw5k6pVq5KWlsbBgwcJCwujVatWDB06lBYtWhAQEEBWVhaHDx/Wu7YASuPh+vbty6hRo6hWrRrWNjZs3bIFmUxG06ZNAc06ADs7O+09365dO0aNHMmmjRuJjIri6NGj3L17l8FDhujILywo4Pjx4/Tt16+M7vT0dEaPGoWjoyNhbUYhK8giKKoDFw7Mx8rBG0tbN87tmYuZpSM+zy2o3LqwF76hTahUR7Na/PSumXhVrIe5jQtyWQF3Lu9ALisgNyOBW+c34+gZxrXjK5AXF1Aiy6f+hxOZO/N77Ozs6d5Lk1quZduOTBw9hG2b1hEeWZMTxw7y4N5t+g/W5OcWiUS0avcRG9etxMXVHUdnF9atWoKNrR1RNesAcOdWDPfvxhIYHIa5hQXJSYmsW7UEZxc33H2rIhKJqFLnI45snYOB1AhTc1sObZqBWq2iVa/vtf1bPfMTKlZtSmQjTf/2rP2WG2d30GngfAyNzbQx40YmFkgNjbFz9sXG0QulUsHlY+uxtHWhKD+Ty5cvY2xsTNOmmowgM2f8hJ2dHb16fwpA23btGT1qBJs2bSQyMopjR49w7+5dBg/+UnssHTp05McfphFaqRJhYZW5ePECZ8+e4Ycfp2vPy4cdOrJm9SoCA52pYGXC3scZxOcX8224HwXHdmHdpT/yhAfI4+9jWq8FIkNjis4dBcCq6wBUOZnk7Vqvc2+YRjWg+MZF1IUvTzydtXszTp9/TfHDuxTfv4NN83aIjYzIPaqZ3XPqPwxFVgYZ65frtLOq34yCi6dR5ZeNMzaPqoMyLwd5ehpGnt449PicggtnKLx+GcqZvDpxXUGjagak56rIylXTLFJKbqGam3Glxkm/VobciFNy+qamrFV1A2LiVWTnqbE0E9E03ACVGq7e1zVoPo4MZMLOMwQ72xLqYsvaC3cokitoV0kzoB234wyOFiaaPN7AbydvEOZqh4eNBXnFJaw4d4uk3EI+qKypL1eqGLHlJLdSMpnTsR4qlZr0fM0gTmlUgsTAkHN31NQOFpGVpya7AOqFiskrgtuJpQZMtwZibj9Wc/GemhKFJlvK88gVUFRSWm5tBkGeIh4mqymUacJWagaJCZV2Y/Q3Ywk0rPw0DeF9ihRK2gZrjNMJ+y7iYGbC4Noah8/vZ29TydkGD2szTYz7pXsk5xbSPkTXmM2XyTlw9wlf1f37KfIkZqaYVSiVa+rjjmXlQEoycyhOSHpJS10+jq7DhMV/EeztTqiPO2v3n6RIVkK7OtUAGLdoA442lgzpqFmkvmTnEUK83XB3sKNEoeDEtdvsPH2ZMT1KnXw5+YUkZ2aTmq25h+OSNaOj573qm/ek0K29C4nJMpLSZPTq6EZGtpyTF7O1daaP8efkhWy27i+NRxeJILq+HfuPZ+hNjRldz474J8Vk58oJ9n8/aXTfVRrCfwpbW1vWrl1b7n5vb2+dAYCHhwdHjx59pVwvL69XZjF7Hd44BOWHH35ApVLRo0cP8vLyiIiIYO/evdjY2GBjY8PGjRv56quvtB/FmTp1Kp9++qm2/YoVKygsLGTatGk6aWbq16+vzUoxbtw4RCIR48aNIzExEQcHB9q0acP335e+EDt37kxaWhoTJkwgOTlZm4bv2cLMrVu3lgk/qVatGn/++ScTJkxgypQpuLi4MHnyZJ2A/mXLltG3b1/q16+Pk5MT3333nU7cubGxMcePH2f27NlkZWXh5OREvXr1OHXqlE7Km759++pcyGdG6MOHD7WDgilTpvDo0SMMDAwIDAxk/fr1dOzY8bWuw5AhQ8jJyWHYsGGkpqYSHBzMtm3b8Pd//QUhz2Nubs727dvp378/VatWJTg4mB9//JEOHTq8uvFToqOjGT9+PCNHjqS4uJhPP/2Unj176iw4Gz58OJ988gnBwcEUFRVpz8fJkycZNWoUzZo1QyaT4eXlRfPmzbVG9k8//aQNVbGwsGDYsGHk5Lw8i8DziEQi6taty86dO6lTR2OchYWFYWlpScWKFTEze7NUWC+ybNkyvvvuO4YNG0ZiYiL29vbUqFFDm9teqVQycOBAHj9+jKWlJc2bN+fnn39+qcyWLVuSmZnJ3LlzSU1NxdfPj8lTpmjDEdJSUxE/t9gmODiYkaNGsfJplhY3NzfGjx+vMwgFtPelPq//5cuXefLkCU+ePOHKFV3L5shfEygpysXFJ5zW/Rbp5ADPzYinqKA0/KUoP5OD60ZRkJuGkbEFdq4VafPZErJTH3Ju7y8U5qVh7xqET2gTEu+fxSOgNkfP/qrTn8DgSnw5YgLrVi1m7YpFuLi5M3Lc99oc4ADtO3ZDVlzMb7/MoKAgn8DgSoybMkObA9zI2Iizp46xfs0yZMXF2NjaUiW8Oh069yShRBP7HtnoY66e3MietRoPhrGpFR9+Nhsv/9Ip8qy0BArzS/t38cgfAKyaoRu33qbXNCrX/hCJgZSuQ37n0KaZ5GUlc2ijZjDr7OzMiJGjS69hWioise41HDFyFKtWrmDF8uW4ubkybvwEnWtYq1ZtBg4azIY/1/PbwgW4ubvzzdjxhISUev3bt/+AkpISfl23mjy5Ej9LE2bUCMDNzIjiK2fINbPEPLojEktr5ImPyFz0gzYHuMTarszqKomDC4a+gWT8NpVXkX/mGBILS+w69tB8iOfRAxJ/nIAyNxsAAzuHMvKlLm6YBIaSOG2sXpkSG1vsP+6HgZU1iuwsco8fJHPzHy89jqNXFRgaQIe6hhg//RDP0t0lOjnAbS1FmBmXnn8rcxHdGhliagwFRRCXouTXLbIyix+jgzzJKixmwYnrZBQUU9HRml87NdCmFkzO1Xz86Bl5xSVM3nOejIJiLI0NCXKyYfnHTfCz13iB0/ILOXpPk3GnyzLdFJXRvT/A2SeKM7fUGBpAiwgxxoaQkAbrj+rGd1ubQzlpuvWiUIKHvYioABHGUiiQQXyamgYF9xlaJ4SFZ26RUSAjwMGSX9rV0KYWTM4r0lnolycr4btDV8gokGFpLCXQ0ZqlH9XF185SR9++u4mogeiA11tArw+r8FBqHlyl/R08Q5OcIWHlJq710Z85Qx/RUWFk5RWwYMsBMnLyqOjhwq9f9dYay8mZ2Yifu4jFshKmrtpGalYORoZSvJ0d+K5fJ6KjSmP4j16JZeLSjdrfoxeuA+Dzto0AzQLz9TtSMDYSM7SPF+amEm7cyWfMj3d1Mpi4OBlhaaFrnlULtcDJ3og9R/VPebi7GPNpZzcszCWkpP29NRAC7xeR+p/0//+HUCgUODk5sXv3br1fxhQQ+P/G/QcvyS/8D7HjZtkvtf6TNAoqP93nP8GVJ06vrvSOqen28L3qM5uv36D9p8hPzn6v+gAW19/46krvkIkGP7xXfbPN3vwT12/LkPTXN2TfBUeH6v9K5j9FwyOvHki+a9rN936v+vavCX91pbdk6C+v+RnWVzB78H/+w3f/Cf5jizD/STIzM/nqq6+0qQQFBAQEBAQEBATeHep/eQjKv503/hDP/wccHR21YSz/X3n2OXR92/Hjx99Y3tSpU8uV9yxP+v9Xjh8//tLzJSAgICAgICDwb+K/0gP+38CL2Syex83N7Y3l9e/fX+fLks/z/CLT/49ERES89HwJCAgICAgIvFv+E3nA/5sQDPB/KRUqVHh1pTfA1tZWm2Xmvw0TE5N3fr4EBAQEBAQEykcIQXk7BANcQEBAQEBAQEDgjRAM8LfjvzIGXEBAQEBAQEBAQODfiuABFxAQEBAQEBAQeCMEB/jbIRjgAgICAgICAgICb4QQgvJ2CAa4gMD/A6xXv9+PfwD4tFzwXvV55Me+V31bEu3eqz6AjwoPvld96irB71Wftej9RzX6u7znLE4GQe9V3VDxpveqD0Du3+y96mt4pPp71Xe4wTfvVR+A65hXf+Jc4H8LwQAXEBAQEBAQEBB4I/4LP6T+XhEMcAEBAQEBAQEBgTdCJYSgvBVCFhQBAQEBAQEBAQGB94jgARcQEBAQEBAQEHgjhBCUt0MwwAUEBAQEBAQEBN4IIQvK2yGEoAgIvARvb29mz56t/S0SidiyZct/7HgEBAQEBAQE/v8jeMAFBN6ApKQkbGxs/mP6jSIaYFKrGWJzKxQpjync/QeKJ3Hl1hcZmWDaqD2GgdUQmZiiysmkYO965PdulKlrXLs5Zo0/pOjMAQr3/Qlophj3bZzH2cMbKCrIwzugKh9+OgEHZ+9ydT6IvcCRnUtJfHiT3Ow0PvlqLqERTXTq5OWks/OPWdy9fpKiwjx8AiPw/rQZni5ObNh7mDXb95ORnYO/lzvDenchpIKPXl1bDh5n17EzPEh4AkCgjycDurbX1lcolCxcv4VTl2+QmJqOuakJkaFBDOz2gY6c+pXEVPUTYSyFhHQ1u8+ryMwvt4s61AoS0biKhLO3Vey7pNJbp2t9MRVcxZRc8mLtxs2sOHSe9NwCAtwcGd2hMZW8XPS2O3D1Dkv2nyEhPRu5UoWXgzU9GkbSJjJEWycjt4DZ249y+lYceUUyqvm5M7pDE7wcy79P1124zYrTN8nILyLAyYZR0VFUcrPXW3fr1ftM3H5Kp8xQIubcmO7lyz9/ixWnbzyVb8uo5lFUcnMot/4z9tx4yOjNx2gQ4MHszo1K+5hfxOyDFznz4Al5xSVU83JiVHR1vOwstXXUajUnd8zl2skNyIpycfWtRrOuk7Bx9C5X3+Vja7ly7A9yMxMBsHPxp1bLL/ANqa+tc/XEemLP7yAl4SYlxQW0mT0aC1MT1h8+y4p9p8jIySfA3YlRXVsS6uOuV8/BSzEs2X2chNRMFEolno529Ghai9Y1K2vrLNx2mL3nb5CclYPUQEKQpyuD2jemUgUvANYfOsOKvSc0+jycGdW1NaG+5ei7eJMlu46W6nOyo0ez2rSuWRUAuULJ/C0HOHH9Do/TMjE3MaZ6sB9DOjTD0VpzTjfsO8rq7QfIyMnF39ON4b06EVJB/7nccvAkO4+f5cHj0r/DLzq3Lbf+tMV/sPngCb7q0YGuLUuv8/qDp1mx53hpH7u3IdTXo5w+3mDJjqMkpGY87aM9PaLr0LpWVZ06fx05R2xcIjkFRaybNIiKnq565b0M2zoR+A7rg1W1UIxdHbnQ4QtStv39lKIfNDKnQbgJpsZi7saXsGJ7LimZype2sbEQ06mZBWH+RhhKRaRkKli8OYe4JwoA2jc0p3qoMXZWYhQvF/XOEDzgb4dggAv8T1JSUoKhoeEbt3N2dv4Hjub1MAyOwKzZRxTsXIMi8SHG1Rtj0f1Lsn+dgLowr2wDsQTLj79CVZhH3l8LUeVmI7a2Q11cWKaqxNUL42r1UCQn6JQf2bGEE3tX0/nzqdg6urN3w1wW//AZw6dvR2popPc4S2SFuHpWJLL+h6ycPaTMfrVazfJZg5FIDOj19TyMTMw5tns5g7+bzWed2jJn5V+M6tuNEH8f1u06yJdT5/Lnz99ia2VZRtalm3doViuSsIp+GEqlrNy6hyHfz+GPmRNxtLWhuKSE2w8T+LRDK/y93MnNL+TnFesZ/tOvRPRsDWgM6KgAEVvPqMguUNOgkphuDSUs2KlEqd+e1uJiC9UqiEnJKv9FVL2iiGd795y+yIzNRxjXqSmVvF1Yc+QiAxZsYOvYPthZmJVpa2VqTN+mNfBxskNqIObYjQdMXLsbW3NTagf5oFarGbpkMwYSCbP7foC5sRErj5zn8/l/smlMb/RlyN57M46Z+y8wtkV1KrnZs+ZcLF/8cZCtA9pia6Y/p7a5kZQtA9ppf4teck723nzIzP3nGduyBpXcHFhzNoYv1h5g6xfty5UPkJidz6wDF6jm6ahTrlar+erPwxhIRPzcuRHmhlJWnY2h/5p9bOpfekzn9i/i0pFVtOj5A1Z27pzcMYcNv/Th0wm7MJDqv1ctrJ2p3344No5eqNVqbp7ZwuaFA/lkzGbsXf0BkJcU4RNcF5/guhzbOlPTx/M3mLlhL2O7tyHUx421B8/wxZxVbJk8GFtL8zJ6rMxM6NuyHt7O9kglEo5fv82kFVuwtTSjVkgFALyc7BjVtSXuDjbI5ApWHzjNF7NXsnXa15yPfcDMP3cz9uO2hPp6sPbAKb6YvZwt3w0tX1+rBhp9BhKOX7vNpGWbsbUwp1aoP8UlcmIfPaFf6wYEeDiTW1DMT+t2MvSX1awd/wX7T19k9qpNjO7ThZAK3qzbfZghP8xjw8yJ2FpZlNF3MfYO0bUiCAvw0fwdbt/P4GnzWPfTOBxtrXXqHj5/hRv3HuJgY6VTvvfcNWau38XYHu0J9XVn7f5TfDFrGVumfl1OH03p27oB3i4Omj5evcWkpRs15zQ0AIAimZwq/l40jazElOWb9d4Dr4PEzJTca7dJWL6RiL9+/dtyAFrWMaNpdVMWbc4hPUvJh43MGd7Thm/mpSNX6G9jaixibF87bj2UMXNVFrkFKpztJBQWlT53ktMVrNqZS1qWEkMDEVMH6x9Qv0tUQgz4WyGEoAj8V9CgQQMGDRrEoEGDsLKywt7envHjx2sXiXh7ezNlyhR69uyJpaUln332GQAbN24kJCQEIyMjvL29mTlz5kv1PB+CEhcXh0gkYtOmTTRs2BBTU1MqV67M6dOnddqcOHGCunXrYmJigoeHB0OGDKGgoOCN+2hcsymySyeQXT2FMj2Jgp1rQF6CUdXaeusbVa2NyMSMvPXzUSTcR5WTgeLRHZQpj3UrSo2w+KAvBTtW6RjnarWa43tW0rj954RGNMbVsyJdBvxAbnYqNy+W7/0JrFKP5p2+pFJkE73705MfEX/vKh9+OgEPv0o4uvrwYe+JyErkLN6wnXaN69CmYW183V0Z3bc7xoaGbD98Sq+syUP60DG6AQHeHni7OTO2f09UajUXrt8CwNzUhF/GDaVJzQi8XJ2pFODL8N5dufUgnoJsjbcuqqKY4zdV3ElUk5oNW8+osDCBQPeXmZkgNYAPakrYeU5FUYn+Ok7WUCNQzPazGkt+5c5DfFgrjPY1KuHnbM+4Ts0wNpSy5UzZGQmASH9PGlcOwNfZDg97G7o3CMff1YHLDzQe20dpWVyLS2LsR00J9XLB28mWcR81o1iuYM+lW3plrjobw4dV/WlfpQJ+DtaMa1kDY6mELVfuv7S/9uYm2s3OvHxDetWZZ/L9NfJb1Xwq/165bZQqFd9sPsaA+lVws9Y18OIzc7mWmMY3LWoQ6mqPt70VY1vWoFiuZPfNh4DmXr14aCU1mg/Av3ITHN0DafnJdPJzUrl79UC5eiuENcI3tD42jt7YOvlQt91XGBqZ8uThFW2diEa9qB79GS4+pd7q1ftP8WGdcNrVroqfqyNju7fWXMeTl/XqiajoQ6OqQfi6OODhaEu3xjXxd3Pi8r1H2jotqodRI9gPdwdb/FwdGfZRNPnFMu4+Tmb1/pN8WDeCdnXCNfo+bqvRd+Kifn2BvjSqFoyvqyMejnZ0a1ILf/dSfRamxiwc1ptmkZXwdnYgzM+D0d1aE/voCUkZ2azdeZD2jWrRpkFNfN1dGN2ni+bv8MhpvfqmDOpNx2b1Sv8OP+uOWq3m/I3bOvVSM7OZuXwDkwf2wkAi0dm3eu8JPqwXSbu64fi5OTG2ZzuMDQ3ZcvwlfQwPKe1j09r4uztz+U7pOW1dqyqft21MjeAKemW8Lml7j3Fn4mxStpZ/L70u0TVN2X4sn8u3ZCSkKPh9Uw7WFhKqBRqX26ZVXTMyc5Us3pLLg0Q56dlKbtwvITWr1NV95noxMQ9KSMtSkphWjiX/jlGr1O9k+19FMMAF/mtYsWIFBgYGnDt3jjlz5jBr1iwWL16s3T9jxgwqV67M5cuXGT9+PBcvXqRTp0506dKF69evM2nSJMaPH8/y5cvfSO/YsWMZPnw4V65cISAggK5du6JQaB6A9+/fp3nz5nTo0IFr166xfv16Tpw4waBBg96sc2IJBi6elDx8/muRakoexiJ199XbxDCgMorH9zFr0RWbr2dg1X8iJnVagEjXsDRr2ZWSu9eRP9T9EmVm2mPystPxD6mpLTMxtcDTL4xHd6+82fE/h0KusVaf90qKxWIMDCQkpWUQVSlIpzyyUiDX7z54LdnFshKUCiWW5mW9yc/ILyxCJBIhNbbE2gwsTEQ8TC59CcjkkJgBbvYvN8BbRIi5+0TNwxT9LxADCXxQS8LuCyoKijWzLjEPE6gR4PVc/0TUCPDiWtyTV/ZNrVZz9vYj4lKzCPfThB7In841G0lLjRmxWIShgYTLDx6XkSFXKolNyqS6T+lMjlgkorq3C9cS08rVXVSioMXcTUTP2cjQPw9zLy1bbz2N/Ayq+5RO84tFIqr7uHLtcfnyfzt2DVszYz6o6l9mX4lCM3gxMniujyIRhgZiLsenApCT8ZiC3DS8Amtp6xiZWODiXZknD/QbxS+iUimJvbATeUkhrr5Vy60nVyiJjU+ielDp351YLKZ6kC/XHiSU2+4ZarWas7EPiEtJJ9zfuxwdCjYdv4i5iTE+zg7EPnpC9WC/F/T5vYG++8Qll68PIK+oGJFIhLGhlFsPE4gMDdTRFxn6Zn+HCoUSS3NTbZlKpWLiryv4uHUT/Dx0w0DkCsXTPpYaymKxmOrBfly7H/96fYy5R1xyGuEVy+/jfxoHGwnWFhJu3i8dsRfJ1DxIlFPBQ1puu6oVjYlLlDOwkzW/jHRg8gA76oeXPwh+YWwj8C9FCEER+K/Bw8ODn3/+GZFIRMWKFbl+/To///wz/fr1A6BRo0YMGzZMW7979+40btyY8ePHAxAQEEBMTAw//fQTvXr1em29w4cPp1WrVgB8++23hISEcO/ePQIDA5k2bRrdu3dn6NChAPj7+zN37lzq16/PggULMDYu3+vxPCJTc0RiCeqCXJ1ydUEeInv98cMSGwfEPoHIrp8l94+5SGwcMWvZDcQSio7tAMAwJBIDZy9yFn9fpn1edjoAFla6U5nmVnbafX8HR1cfrO1c2L3+Zzr0mYShkQnHd68kLTMboMwUt62VJY+eJL+W7F/XbMLe1orISvo/Fy4rkTNv7Saa1YrE0NicZ47cgmLdegXFasxfcmlCPEW42IhYvLf8YMtm1cQ8TldzJ1FjoGdlZaFUqbCzMNWpZ2dhysPUzHLl5BXJaDphAXKFErFYxDcfNaVmoDcA3k62uNhYMnf7ccZ3boaJoZRVRy6Qkp1HWm7ZWZasQhlKtRq7F0JB7MyNicvI0avf286SSW1q4u9oQ75MzsozN+m1fA8bP2+Dk6XuQEcr/4WTZ2dmTFy6fvmX41PYcuUu6z9ro1+/vRUuVmbMPXSJ8a1qYmJowOozMaTkFpKeXwRAQY7GuDeztNNpa2ZpR0Huy+/VtMTbrJnRBYVchqGRKe0/+xV7l/I9pjkFhShVqjJhEXYW5sQlla8rr7CY6FEzkcsViMVixnRrRY3njGqAY9duM3rRXxSXyLG3MmfhVz1BhH59lubEJb9C34jpyBUKxCIxYz5uQ40Q/f2SyeXM/WsfzaMqIVcqNfrK/B1avPbf4by1W7C3sSLqOSN+5bb9GEjEdG7eoEz9rLxyzqmlOXFJ5Q/c8gqLiR72Q2kfe7SlRkjZQdy/BStzjc8zJ183ti03X6ndpw8HGwkNI03Ze7qA7cfy8XWT8nFLSxRKNSevlD68KgcY8cVHVhhKX+48eFcIaQjfDsEAF/ivoUaNGoie8+7WrFmTmTNnolRqjKSIiAid+rGxsbRr106nrHbt2syePRulUonkNd0IYWFh2v+7uGiM4dTUVAIDA7l69SrXrl1jzZo12jpqtRqVSsXDhw8JCiprKMpkMmQymU5ZyauCkfUhEqEqyKNgxypQq1EmxSO2tMakZjRFx3YgtrTBLLozuat/BqWCvQ9TmN6uE6hVoFTwyehP31znayAxkPLJV3P58/dxTPysJmKxhAqhNQkPqcjFm7dfLaAcVmzZw/5T55k/cRhGhmW9SQqFkm3nY1i/eRtGhlIUKgl/HH3z1UqWptAsXMyaw+XHiAe4ifB2ErFoz9uvhjIzMuTPkZ9QKCvh7J14Zm45jLudFZH+nkglEmb1acekP/ZQd8wvSMQiqgd4USfIh3f1aqzs7kBldwed3x8u3MZfl+4ysEGVt5JdIJMzdusJJrSuiY2p/hGPVCJm5kcNmbT9JPVmrEMiEuHrYIVYJOLswyQufFWVDgN++9vHYOvkwydjtiArzuPOpb3sWjmKLl+tfqkR/ncwMzZk3fj+FMlKOBv7gJkb9uLuYENExdIFxpEVfVg3vj/Z+YVsOn6Rkb/9yc+Dyl/s+kp9EwY+1Xefmet3425vQ0Sg7oyZXKFk5ML1qFHzzcdtKZSVE0/1mqzYuo/9py+yYPxQ7d9h7IN41u05zKqpo3We0W+LmbEh6yYNpkgm42zMfWau24W7g22ZPv6ncO3ahkrzvwWgsdSEWWuy/pYcsQgePpHz1wHNyvD4ZAVuTgY0ijTVMcBjH5YwfkEGFqZiJnxmV564d4bwJcy3QzDABf5nMDMrPyzhbZBKS429Zy8XlUpjmeXn5/P5558zZEjZxYienp565U2bNo1vv/1Wp2x0kyimDlMiMtNdiCgys0Cdr9+zqMrPQa1UwnNeCmV6MmILKxBLkLh4ITa3xOqzcQC0KSigdmYWarUK1Gr2XdW8iPNy0rG0KTXA8nMycPUK5G1w9wnh62mbKSrMQ6mQY25py9IJLRCJIDNHd0FpZk4uttZW5UjSsHr7PlZu3cO8cUPx9yqbGUKhUPLN7N/JzC2gZVQlLMzMWHk/HIOnTiczY8h/zgtuZiwiuZyFlS42IsyNRfSL1g378HKESH8JU/9U4u0kwtYcRnYoraNQ2CCRSMhxDgJKZzIy8gqx17MA83nZng6ajCaB7k48TMlgyYGzRPpr7p9gD2f+HNmLvCIZcqUSW3NTus9aTYiHUxlZNqZGSEQiMgqKdMoz8ouxf0lc9/NIJWIqOtuQkFl24a9Wfr7ulEJGgX75CVl5PMnO58t1h7RlzxZ2hX+3ki1ftMfD1pJgFzv+/KwtecUlyJUqjAwk9Fq+mwqO1rh1/A2lQnOvFuRmYG5VuoizIDcDR/eX36sSA0NsHDVhQc6eoSQ9us7FwyuJ7jZZb30rM1MkYjGZubppcjLy8rGzKrtY8BlisRhPR41RVNHDhYfJ6SzdfVzHADcxMsTT0Q5PRzvCfD1oO24OR67e0q8v9zX0OT3V5+nCw6Q0lu4+pmOcyhVKRv22jqSMbH4f/inmJsYYSQ00+sr8HeZhZ112IfTzrN5xgBXb9jHvm8H4e7lpy6/cukdWbj5tB4/XlilVKuas3sS63YfZOnXoS/pYdtGn/j66avq48+i/xgBP2X6I7HNXAdjVfy1Sieb9YGUu1vGCW5pLiE+SlysnO1/FkxfiupPSFEQG6w5aS+RqUjOVpL4io4rAvwPBABf4r+Hs2bM6v8+cOYO/v3+5nuygoCBOnjypU3by5EkCAgJe2/v9KqpVq0ZMTAwVKry+N23MmDF8/fXXOmX5M75CkRSP1CcQ+e0rT0tFSH2CKD5/WK8cecI9jEKj0OSs0Bg1EltHVHnZoFIifxhL9oJJOm3c2vZCmZFC0ck9OEWMw8Lanns3z+DmrfHUFxfmE3//GjWbdHnt/rwME1PNyzUtOY7bD+LxdHHi/PVY6kdWATQDmfM3bvFRdMNyZazaupdlm3cx55svCfLzLrP/mfGdkJTK/IlfYyYVoyopIuvpuz6vSI2Ps4iUbM05MjQANzu4eFe/Af4wRc3CXbovw7bVJaTnqjkVq0KthpMxKi6/sKaxf0tDgn29OLV3O/Xa13/aPzVn7zyiS91qrzpVWlRqtTb2+3ksTDQx9Y9Ss4iJT2Zgy7KLc6USCUEutpx7mEyjip5aeefikukSUfG19CtVKu6lZlOngluZfRr5dpyLS6JR4HPyHybRJbKsIexjb8Vfn7fVKZt3+DKFJXJGRkfhbKU7MLEw1mQuepSRy/20bL5qEs7DpxlMzCwdiL99GicPzb0qK8onKe4qVep1fa1+aVGrtAa9PjQpAl04e+sBDatqdKlUKs7FPqRzw6g3UKOm5BX54tQqNSqliiAvV87GPqBh1eBSfbce0Llh9dfXp1ZT8lyajWfGd3xKBr+P6IP103htqYEBgT4enL9xmwaRlbX6Lty8zUfN6uuVDZoQk2Vb9jB3zCCC/bx09rWoG0VUJd3rP2TaPFrUjaJN/ZpIDQye9vEeDas918fY+3RuVJPXRa1WU6J4PwsQXwdlfgGF+ZpQsGdGcXaekmBfQ+KTNcdpbCTC103KoXNls1M94258Cc72uuaas50B6dn/WUP7f3kB5btAMMAF/muIj4/n66+/5vPPP+fSpUv88ssvL81qMmzYMCIjI5kyZQqdO3fm9OnTzJs3j/nz57+zYxo1ahQ1atRg0KBB9O3bFzMzM2JiYti/fz/z5s3T28bIyAgjI920aXIDCcWn92PevjfKJ49QPHmIcfUmiKSGyK5oBhHm7Xqjysum8JAm3ZbswlGMIxti2rwzxecOIbFzwqROS4rPPfU2lshQpuku/lPLZagK81GmPUEkElG3eU8ObvkNe2cvbB3c2fvXXCytHQkJb6xt89vU3oRGNKF2M81Uuay4gPTk0oVTmWmJJMbFYmpuhY29ZvHV1bN7MLewxdrehaT4O2xbNY16kVVoUjOcyfOXE+TnTbCfN+t2HaRYVkLrBprFdZPmLcPB1lqbx3vl1j38/ud2Jg/pg6ujHRnZmtkAE2MjTI2NUSiUjP75N24/jGfmyIGoVCptHaWiBImBIeduq6gTIiYzT0V2vpoGYWLyiuDW49KXy8cNxdx6rObCXTUlCkh7YdKhRAFFJaXlBcVl48oBeraoz9j5Kwl2tSPU04XVRy9QVCKnffVQAMau3omjlQVftqkHwJL9Zwj2cMbD3poShZLjMQ/YeT6GsZ2aamXuu3wbG3MTXGwsuZuUxvRNh2hYqQK1An1Qp5WN2e1RPZjx204S7GJHqJs9a87GUiRX0K6yJh553NaTOFqYMKSRZlDw27FrVHKzx9PWgrziElacjiEpp4APqugfVPaoEcz4rSc08l01aQ418jX1x205jqOFKUMah2NkIKHCC/nKnxnZz5fvi4nDxtQYFysz7qZmMX3vORpW9KCWnxsP0cw8hTfqyendC7Bx9MLKzp0T2+dgbuWIf+XSbDzr53yCf+WmVGvwMQDHtszEJ6QelrYulBQXEHt+B/F3z/HRoCXaNvk5aRTkppOdprmn7yam0qhaEAu2HSbYy02ThvDAaYpKSmhXW7N4c9zSTThaWzDkQ811WrL7GCFebrg72FCiUHLi+h12nrnKmO6aVJhFshIW7zpG/coVsbeyIDu/kD8PnyM1O4+mEaH4uDgyYelGgr1cCfVxZ+2BUxTJSmhXO1yjb8lfOFpbMqRDM42+XUc1+hxtKZErnuq7wpjumsGOXKFkxMI/uPXoCXOG9EClUpH+1ONtZWZCt1aN+XbBSoJ8PZ+mITxEkUxG6/o1AJg4fwWONtYM7KoJ4VuxbR+/b9jJlEG9cHGwJf3p35jp079DawtzrC10vfUGEgl2VpZ4uTpBUQ4fR9dhwuK/CPZ21/Rx/0lNH+to7sNxizbgaGPJkI7Rmj7uPEKItxvuDnaUKBScuHabnacvM6ZHaVhhTjzzdC8AAIdySURBVH4hyZnZpGZr+vYsZj5XApZvYLtKzEwxq1A6Y2nq445l5UBKMnMoTkh6fUHA3tOFtK1vTkqGkrQsJR82Nic7T8mlW6UPjJG9bLgUI+PAU6N876kCxvWzo3U9M87dKMbXTUqDCBOWbdPMpBlKRbStb8blWzKy85RYmL6f/BpCDPjbIRjgAv819OzZk6KiIqKiopBIJHz55ZfadIP6qFatGn/++ScTJkxgypQpuLi4MHny5DdagPkqwsLCOHr0KGPHjqVu3bqo1Wr8/Pzo3LnzG8sqiblAoZkFJg3aIja3RJHymLy1c1EXaF4uYitbnQeiKjeLvDVzMG3WCev+E1HlZlN87iBFJ/e8ts4GrftQIiviryUTKS7MwzugGn1H/a6TAzwjJYGCvNLYxscPbrLw+17a39tX/whAeN32dOk/FYC8rDS2r55Ofk46FtYOhNdtx7cfVUJqYEB2bj6//7mNjOxcArzdmT1miHbqOyUjE7G4NIZ00/5jyBUKxszSjQHu27E1/T5qQ2pmFscvaKaAe4z6TqdOk0+W4ewTxalYNVIDNa0ixRgbQnyamrVHdOO7bcxFmBoBbxlZ3bxmOBmJ8czfdZL03AIqujsyv39H7J4uZkzOykP8XIxsUYmcqRv2k5KTj5HUAB9HW77v0Yrm1Uq9iWm5+czYcpiMvAIcLM1pHRnC59Hlew2jQ7zJKixmwdGrpBcUUdHJhvldG2lTCyblFOgkysktljFl5xnSC4qwNDYkyMWOFb2a4+dgXY58n6fyr5CeX0RFJ1vmd2tSKj+34I3jgNPzi5i5/zwZ+cU4WJjQupIfn9UL06kT1bQfclkRe9dOQFaYi5tfOB0HLdbJtpOdlkBRfum9WpiXwa4VoyjITcXI2AJ7t4p8NGgJ3kGlswdXj6/j1K7SwXKfn5YC0LJ6GAu2HSIjN5+K7s78OqQHdk8XESZn5uhcx2KZnKlrd5CalYuRVIq3sz3f9elAdKRm4CUWi4hLTmf76Stk5xdiZWZKiLcrS0d+ip+bE35uTmTlF7Bg60GNPg8Xfh36iTYEJTkj+wV9JUxds53UrByNPhd7vuvzEdFRlQBIy87l6BVNmsou3+rmtV40/FP+r727Dosq/eIA/p0hh24sWkSRFrsbdcVae1UUddVVXJtdu2MVUfFnB7rm6totKCoiKGmAtKCCEgLSdX9/sIyMhCB3ZgDP53l4Hrhzuee95Jl3znvevh3b4FPGZ+w/dxUpaZ/RQq8pdjj/9uX3MPmTQLx/7zxEQWEhnF0PClxr6oiBmP7zoCq+s1/0b2eBT5+zsOfiXaSkfy65x3mT+SUoialpAr/7uXn52HD8csk9SktBv5Em1k0bhf7tvvxceAWFYuXh8/yPnfeeBgD0UwLsalCOrdzGDB09jvM/Nt36JwAg/ti/CHH8o/oXAnD9URZkpDlwsFfib8Sz9fgngR7gWqqSUJD/UpIS874QO0+lYWRfBQzproDktCKcuPEZPiElSTvDMGisIYkuY3hQkOMiM/s71gwRkeMw9BSGNAA9evSAlZWVwLbxDUnKmsqfSAiL98A9Io3XTfKhSOPtCu0i0ngAsEj1qEjjVTQDLlQc0Xe2PdH4T5HGGyd5WqTxwBV9T7kCedHu9iuVU/E6FmG510O0PzMAcPYPL5HGc18j/E3jxi7+dovI6ji1peL1UA0dzYATQgghhJAaoS4otUMb8RBCCCGEECJCNANOGoT79++LewiEEELID4MqmGuHEnBCCCGEEFIj1IawdigBJ4QQQgghNUIJeO1QDTghhBBCCCEiRDPghBBCCCGkRooZ6jdeG5SAE0IIIYSQGqESlNqhBJyQeuCf9vtFHtMhbodI4z1vPUmk8RbkrBVpPAC4YbRCpPHcL0eJNF5yDbflZsOd0RtEGm91znyRxltq5SnSeAAw74rFt09iUXx4vEjjNRHxpjgAMGpjd9EGXPNatPFIjVECTgghhBBCaoRmwGuHEnBCCCGEEFIj1Ae8dqgLCiGEEEIIaVBSU1Mxfvx4KCkpQUVFBY6OjsjMzKz0/NjYWHA4nArf/vnnH/55FT1++vTpGo+PZsAJIYQQQkiNFBfX7S4o48ePR0JCAu7cuYOCggJMnjwZ06dPx8mTJys8X0dHBwkJgutY9u/fj7/++gsDBgwQOH7kyBHY2dnxP1ZRUanx+CgBJ4QQQgghNVKXa8BDQ0Nx8+ZNPH36FLa2tgCAXbt2YeDAgdi6dSuaNGlS7nMkJCTQqFEjgWMXLlzAqFGjoKCgIHBcRUWl3Lk1RSUohBBCCCFELPLy8pCRkSHwlpeXV6tr+vj4QEVFhZ98A0CfPn3A5XLh6+tbrWv4+/sjKCgIjo6O5R777bffoKGhgXbt2uHw4cPfVQ9PCTghhBBCCKkRhilm5W3jxo1QVlYWeNu4cWOtxpaYmAgtLS2BY5KSklBTU0NiYmK1rnHo0CG0atUKnTp1Eji+Zs0anD17Fnfu3MGIESMwa9Ys7Nq1q8ZjpBIU0mD16NEDVlZWcHV1FfdQALAzHoZh4HN9J577/IO8nAw0MbBB71GroKqlX+nnBD88iRDvU8hIeQcAUG9sjPZ2s2Bg+qUv7d3TKxD3+jEyMz5CWloOjQ2s0b2vNnyj3sL9QRCSM7PRopE6nO27wlxH+5vjvBEcAefTd9DT1ACuEwZUeM7aC/dxzu8VFg3qjF+6WArc4/mT+3Hv9iVkZ2WiRSsLTJ65GI2a6FYZ8861f3Dtwgmkf0qBroExJk5fAKMWrfmPr/tzJsJeBAh8zggrIxhrqsDdNxQpWblooaWCJX3awKyJeoUxLj+PxsrrfgLHpCW48F04CgBQUFSM/z0MwaOoBLxNz4SCjBTa6zWCU3dLaCnyBO7xzr9ueHrvH+Rkf4Z+C2sMdVgBjUb6ld7fvcv78fLZXXxMiIaUlCz0jK0wYMwCaDY24J/j63kWQT7X8D72FfJys9Ci2ylISJW8dDr2J3X07awMeR4XYdE52HvqIxKSCiqNt3+tAbTUpcodv+6Vhv1nPkJBjouxP6nDqpU8NFQlkZFZhPvecjj4dyyysovgOF4fg/s1gqK8JJ6HZmDr/yLwNiGn0nhcLjBlrD769dSCuoo0klPzcd0jEe5n4vjn/Pm7CQb2FnzZt+h9MxzbvBruPi+QkpmDFtpqWGLXDuZNNSuNVermixg4X3iAHi104Dq6F/94SmYOXD388ST6PT7n5sNGTxtL+reHnrpSldfr20YSbVtKgCcNxH4oxsVHhUjJqHxmrI+NJPq0Efw3/DGtGC7/5Jc79+ydRzh+zRMp6Z9hrNsEiyYOh5mRXoXXvXDPB9cePkXU25JEo5VBM8waNUjgfNtf5lX4uU5jBgPcL7OGQ3vIo5uNLORkuYiML8Cxa5/xMbWo8i8CABVFLkb2UYB5c2lIS3HwMbUIhy9lIDahEBJcYFgveVg0l4GmqgRy8orxNEgCh06/Q0paASaNaIwBPTWhIC+Bl+GZ2Hk4Du8+VD4betzVDI00Zcodv3znI3YdLekv3lhLGtPHNYOZiQKkpLh4GZWP49c+IyOrGMN6KaBHGx7kZLmIiMuH+5UMfPjG/akqcjGqnyIsjGUgLcXBh9RCHLyQjtj3hSVfs54KaG8mC3VlLgqLgNj3BUjzsECaX0iV1y2l1sUWhgscoWxjBtkmWng2YhY+XPao1ueKElslKH/88Qfmzxfsry8jU/57CgDOzs7YvHlzldcLDQ2t9ZhycnJw8uRJLF++vNxjZY9ZW1sjKysLf/31F5ycnGoUgxJwQqqQn58PaWlpcQ+D79ndAwh6cBz9x2+CknozPL62A//uccSkP69DUqriP1gKKo3QZfBCqGjqAWDwyu8iLh/4DeMXX4BGY2MAgJZOa7S0HQxF1cbIzU7Hkxu7MGnvv8jOL8Cyod1hrqONE94hmHn4Ki4tGAt1BblKx/juUwZcrj+GjX7jSs/xeBmN5/EfoKkkX+6xq/8ex+2rZ/Hr3BXQ1G6Ccyf2YfPKudi8+zSkpSu+xycP7+DEoR2YPGsJmrdojZuXT2Pzyrn4a89ZKKuo8c/r2W8IRoz/FQBg4rcP3tEJWH/7GZb2s4VZE3WcfPYas87ex8Vpg6AmL1vx11NaChemDeR/zOFw+O/nFhYiNPETpnVqjRZaKsjIzcdfHgH4/d8HODmpP/88r2uH8Pj23xg5fQPUNJvh9vmdOLxlOuZtugKpSu4xJuwZOvQZCx1DMxQVFeHWP644tHkq5m+6AmnZku9HQX4uTCy6wMSiC26e3c7/3GF9VfFTDxXsOJaIDykFGPeTBlbOaYo5a96goLDif6ILN8eBW+Y1Ut3GMlgztxkeB3wGAKgpS0JNWRJH/01CfEI+NNUkMX2kOjTUZBAW8Rk//9QU613DkPAhF1PH68NljTl+mfUU+QUVxxs/QhdDBzbB+u1hiInLQsvmivhzrgmysotw7so7/nlP/FOxwTWM//EU/b+x7c5TLB3YAeZNNXHC9xVmnbyLS7OGQk2eV1EoAMC7tEy43H0GG13BWTKGYTDv7D1ISnCwfXQvKEhL4bjvK8w4cRv/zhhS6fW6W0qgU2sJ/ONVgNTPDPq1kcSUAVLYfi4fhVXkc4mpxTh4/UvCXdG6tttPArH9xEX8MXkkzJrr4dRNL8zZvA/n//oDasqK5c73D41E/442sGhhABkpSbhf8cTszXtxdtMSaKmpAABuuq0W+JzHwaFYe/AMerWzgP+zkmMDOsuhT3seDl7MQPKnIgzrqYAFv6hg6e6USu9JTpaDP6eoIiwmH9tPpOFzdjG01SSRlVvyfZeW4kCvkRSuPMhC/IdCyMlyMKKHLNYsMMID308Y2l8LW/bFIvFjPhxGNsFGZ2M4Ln6Jgkp+bmYvDxP4OdVvxsOWP1vAy/cTAEBWhotNzi0QHZeNRRvCAQAzJhlh3ngVPAvNQ9/2cjhwIR3Jn4owvJcCFk5UxZ9uySgorPz+lk5VR1hMHrYd/4SMrGI0UpdAds6X8SUmF+L4tQwkfSqCtCQH/TvJodP1w7jfsi/ykz9VfOEyJOTlkBHyGvFHz8P23O5vni8ubCXgMjIylSbcX1uwYAEcHByqPMfQ0BCNGjXCx48fBY4XFhYiNTW1WrXb586dQ3Z2NiZOnPjNc9u3b4+1a9ciLy+v2vcBUAkKaaAcHBzg5eWFHTt28NsERUVFwdHREQYGBuDxeDAxMcGOHTvKfd7QoUOxfv16NGnSBCYmJgCAx48fw8rKCrKysrC1tcXFixfB4XAQFBTE/9wXL15gwIABUFBQgLa2NiZMmIDk5ORKxxMbG1uje2IYBgFex9Cu30wYWfSBZtOWsJuwBVnpHxEVcrfSzzMy7wWD1t2hqqUPVS0DdP5pHqRk5JAY+2XsFp1Ho1nztlBWbwZtndboNOh3pOfkoZ95cwy1bQUjbTUsG9odstKSuPgsrNJYRcXF+PPMXczs0xbN1CqeLfyQnolNlx9iw+i+kOIK/gliGAY3L5/GkFGT0aZDd+gaGGPGvFVIS02G/5PKd6+7cekUevYbgu59BqOpriEmz3KGjIwsvO5eEThPWkYWKqrqUFFVh4YCD+eCIjHc0ghDLAxhpKGMpf3bQlZKEhefR1caCxxAQ4HHf1Mvk6grykhj75ie6NdKF/rqSrBoqgHnvm0QmvgJCRlZ/Hv0vnkMvex/Res2vdFY1wSjf92EjLSPeOVf+SzXlMX7YdttGLSbGaOJXkuMnL4BaSkJeBv7in9OF7uJ6DF4GnSaWwp87uBeqjh7MxV+IVl48y4fO9wToaYsifaWCl+H4cvILEJaxpe3tubySPiYjxcRJbPYcQn52HwgAU+fZyExuQDPw3Ow/3gMOrdTxyj7pjh29g0e+aYgKjYL67aHQV1NBl07aFQaz6yVEh49SYbPs1QkfszD/cfJ8Av6hFbGgglmfkExUtMK+G/HHwVjuLUxhloZw0hTBcsGdYSslAQuBkVWGquouBh/XniAmd2t0FRF8PpxqRkIeZeEPwd0gFkTDehrKGPpwA7ILSjCjZcxlV6zs5kkPAML8epNMRJTGZy5XwAlOQ5M9ar+N1vMAJk5X96yK5jsPXHjPob27Aj77u1h2LQR/pg8ErIy0rjsVXEt67pZEzCybxeY6DWFfhNtLJs2GkwxA7+XEfxzNFSUBN68Al7AtlVzNNP68j3q256HKw+yEPQ6H28/FuHgxQyoKHJh07LyJGNgZzmkphfh8OXPiHlfiOS0YryMzkfSp5KMPSePwba/0/D0VR4SU4oQ/a4Qbu5xaGEojxEDtXHiYiJ8/NMRE5+DzXtioK4ihc5tVCqNl/65EJ/Sv7x1sFbGu8RchISWtJtr3UIe2prS+GtfLGLjcxEbn4sD/6ZDv4kUBnaWx5UHmQgMy0P8h0Ls/zcdKooSsGlZ8ZNvABjUVR6pGSVfi+h3BUhOK8KLqHx8/PTlGcmT57l49d89v0sqxMmbnyGlrAhFc5NKr1tW0q0HCF/pig+XKv+7/qPS1NREy5Ytq3yTlpZGx44dkZaWBn9/f/7nenp6ori4GO3bt/9mnEOHDsHe3h6amt9+JS0oKAiqqqo1Sr4BSsBJA7Vjxw507NgR06ZNQ0JCAhISEtCsWTM0a9YM//zzD169eoUVK1bgzz//xNmzZwU+18PDA69fv8adO3dw9epVZGRkYPDgwTA3N0dAQADWrl2LJUuWCHxOWloaevXqBWtrazx79gw3b97Ehw8fMGrUqErHo6OjU6N7Sk95i+yMJOiafKlHk+EpopGeJd7HBlbrGsXFRXjtfw2FedlorG9d4TkFedl47lPS87RnK33+cS6Xgw5GzRASV3n93D6PZ1CV52F4W9NK4jNYetYDDt2s0FxbrdzjSR/eI/1TCsws2/GPyckrwKhFa0S8fl7hNQsLChATGYbWVl8+h8vlorVlW0SGCX7OY69bmDG+H5xnj8X2e0EITfyE9npfSmq4HA7a62sj5F1KpfeYk1+IAXsuw+5/l/D7+YeISkqv9FwA+JxXAA5KknMASE16i8/pyWhu1pF/jqycInQMLfAmMqjKa5WVm1MyEy0nr1zledrqUlBTlkRIWDb/WHZuMcJjc2FiWHmiUZakBNC9nRI8fDKqPE9eXhI5OYVQV5PB06AvM31Z2UV4FZ4Bs5aVl3C8CM1AG0tV6DQpmbVuri8Pi1bKeOKfKnCetZkKrhzviJN72mLuNH2EJqagvcGXjgZcDgftDZog5G1SpbH2PQiBmrwshlkbl3ssv7BkClpGUkLgmtKSXATGfSx3PgCoKXKgJMdB5Lsv09d5BUB8EgM97ar/zWoocfDnOBksGi2N0T2loPzVi0IFhYUIi3mL9q1bfBkPl4t2rY0REvmmymuXys3LR2FRMZQreeUqJf0zHgW9wpAeXxITTRUuVBQl8Cr6S5lSTh6D6LcFMNIpX5pUyspEBrEJhZj5sxJcF2pg5XRVdLOp+udMnieB4mIGqspSCHz55WcsO6cYYVFZMDUu/0pZRSQlOOjdRR23vL78/kpJcgEGAjPoBYUMGAZQkCspRxG4v3cFaF7F/VmbyCL2XQF+G6WCXYs1sWamOrq3qfyVFgkJoKctDwVpGcgIaVjbwxczxay8CUOrVq1gZ2eHadOmwc/PD97e3pg9ezbGjBnD74Dy7t07tGzZEn5+gmWFkZGRePDgAaZOnVruuleuXMHBgwfx4sULREZGYs+ePdiwYQPmzJlT4zFSCQppkJSVlSEtLQ05OTmBl5tWr/7ysquBgQF8fHxw9uxZfqIMAPLy8jh48CC/9GTv3r3gcDg4cOAAZGVlYWpqinfv3mHatGn8z3Fzc4O1tTU2bNjAP3b48GHo6OggPDwcLVq0qHA8NZGdUZJQyCkK1ifLKaojOyO5ys9Nfv8ap13GoLAwD9Iychg8dTfUGzcXOCf44Qk8vLQVBfnZUFYveXKgpSw4Q6quyENMUsUvoQbEJuDCs1CcdRpV4eMAcORBACS4HIzrZFHh42mfSv5xKqkIJudKKmpI/5Ra0afgc0YaiouLBEpNAEBZRQ0J774kKJ269YOGVmOoqmkgLjYSZ/duRBHDlCs1UZeTRWxKxYmmnpoSVg5shxaaKvicV4DjfmFw+PsuzjkOgLZS+eQmr7AIO+8Hw85UDwoyJf/UM9NKvlcKyoKzwQrK6shMr/r7WKq4uBhX/94EvRY2aKRTPoksS0W5JJFMyxB8TT09owiqStX7F9DeUgHyPC48nlT+ZENRnguH0c3w+GkqBvRuhE9pgvXln9LyoaZaeTnX3+fiIC8ngRN72qK4mAGXy8H+4zG44/Ul6fX1T4XX42QkfMhF08ayGDFAAUXFDNQVBBMgdXlZxCZXPNbAuA+4GBSBM9MHV/i4voYyGivLY6dnAJYP6gietCT+fvIKHzKykZyZg4p+e0vDZ+YIviSfmcNAgcep4DNKxH0sxj9exUhKZ6Aox0EfG0nMGCyD7efzkP/fly/tcxaKiovLlZqoKSsiNqHiJwRf23X6KjRUldCuTBJf1tWHfpCXlUVP2y+/l0oKJU8cMrIEE6SMrGIoy1f+pEJTVQI9bXm45ZONa4/SYNBEEuPsFFFYBDwOzi13vqQEMHVsUwS8yICthTI+pX/1c5NeAFWVyhPisjrZqkBBTgK3H3xJwEMjs5CbV4ypY5ri8Nl34HA4GNNfERISJd+X9Myv7i+zCMoK37i/tnK45ZOFKw8yYdhUCr8MVEJhEQPvoC/3Z9lCBrNGKkNaioP0zGL49h+NgpRvl5/UJ3W5DSEAnDhxArNnz0bv3r3B5XIxYsQI7Ny5k/94QUEBXr9+jezsbIHPO3z4MJo1a4Z+/fqVu6aUlBR2796NefPmgWEYNG/eHC4uLgL5QHVRAk5+KLt378bhw4cRFxeHnJwc5Ofnw8rKSuAcc3Nzgbrv169fw8LCArKyXxK1du3aCXxOcHAw7t27V65XKABERUWhRYuK//FVJC8vD3l5ebhx4wZ/JXhhETD01/3VvsbXVLUM8MuSi8jL+YyIoFu49fcSjHT6WyAJb2lrD12TzsjKSILvrf8hPSUe+VUVr5aRlZePpWfvYuXwHlCtpO721buPOOEdgtNzRvHrprPzC+B60wdud3xRzD2ChStcvvsev6WX3TD++zr6zaEfdQtLLj3Gx8/ZVXyWIMumGrBsqiHw8YiD13EuKBK/dRN8UlFQVIzFl7yRlpOH+xFv0cnlHIq4l+CwYG+t7+WS+1okvo3AzOV/l3usmToHg8a1w8yfA8CVkMW6Pe9rHa9PJ2UEvMrCp/TyPw/d2ipi1jhtSEtxwDDADc8PGNC75k8ye3XRRN/uWli9NRQxcdkwNpSH09TmSE7Nx03PDwAAj4dfZrWj32QhLOwtAICr1gjAt39Ws/IKsPTSI6z4qSNU5SqelZWS4GLbyJ5YdcUb3baehgSHg/aGjdG5eVPgv3zDyoiLYV2/JIVHb5ZfNFkd4W+/JH+JqQziP+bDeawMLAwl8Ox19X73vuXo5bu4/SQQ+5b+BhnpihPZy15+WOw0E+odBgEA/mfJhevJql/ZqQyHA8S+L8S/niUlV3GJhWiqJYkebXgCCXgHcxlM/EkRUpIccAAs2xoJW4uqX835lgE91OEXnI6UMk/+0j8XYu3OKCyZaYBhdiX1/sXFQEJyIRpr1DwF4nKAmPcFOHc388v9aUuiV1s5gQQ8NCYfy/ekQFGOi+5teGh70hXenUciP6niiQTCPjU1tUo33QEAfX39CtsHbtiwQWAyrSw7OzuBDXhqgxJw8sM4ffo0Fi5ciG3btqFjx45QVFTEX3/9Va4nqLx89V7uLCszMxODBw+ucHV248aVL0asyMaNG7F69WpwOBxISpb8ivawnwNZBVUAQPbnFCgof1k4lv05BZrNWlZ5TQlJ6f8WYQLaumZIjHuOQK9j6DNmDf8cGZ4iZHiKUNXSh1YzN+xebAOv0Fi0NWrKPyflcw40FMvP9ManZOD9p89wOnadf6z4vz9sNkv34NL8cQiISUBqVg7sNh/jn1NUzIADQFWOh8V/uaOwsOQfZ0ZaKlTVviS6GWmp0DWseKZXUUkFXK4E0tME/7Glp6WWmxUvq4NeSZIYmZSOvmW+fCnZuVCvYvFeWVISXJhoqyI+TXB744KiYiy55I2E9GwcHNcLhf/NFD1sMRtFBSXJWmZ6MpRUvtQXZqanoLFe1d9HALjkvg5hQV74dekxKKuVT3QTPzEIDg7BmT2LYdDWFTK8kp9nFSVJfMr4ktQpK0kg5u23e+1qqknCoqUcNu+vOJEPeZ2Fdx/ykV9QjPXbXvCfXKmqSCHl05fEVFVFGpHRlW8DPWuyIU6ci+cn2dFvstBIUxYTRuryE/CvffwkBQkJCaR8tWAuJSsXGgrlv4fxnz7jfVom5p725B8r/Tlts+4YLs4aCh01JZg2VsfZ6fb4nJuPgqJiqMnL4pdD12DaRB0FAF7FFSP+3y/3JvFftYoCj4PPZWbBFXgcJKRU/yX23HwgKZ2ButKXWXMVRXlIcLlITf8scG5q+meoK1fdleX4tXs4etUD/3OeCWPd8huPAEBgWBTeJHxEcxVpZL18BABYd98c//3pgZI8V2CWWEmei7gPlaxQBJD2uRjvkwQff59chDatBOtjQyLyERVXADVlLtbuiEB+fsnXTVVZCqlpXz5fVVkKUW++/SRZS0Ma1mZKWO0aVe4x/+efMWn+C+g0lkFRMaCopYnl00r+NigrfHV/ChKIS6i8O1BaZvn7S0gqRFtTwSd0+QUMPqYW4WNqEaLeFsB2QiF0Jv+MqC3fP5FS1zB1fCfMuo4ScNJgSUtLo6joS8Lh7e2NTp06YdasWfxjUVHl/1h/zcTEBH///bfACuenT58KnGNjY4Pz589DX1+fnzR/azyVqaglk7uXDCSlpCGnpIn4cB9oNWsFAMjLyUTim2BYdhn7zesKYIpRVFj5rB1XQgocDhCe+OWl3OJiBr5RbzGmo3m58w00VXBu7miBY7vv+CErLx+Lf+qCRsoK+MnaBO2bNxM4Z+aRq/jJugWGtmmJz010wDAMlFXV8TL4KfQMS141yM7ORFT4S/QeMLzCsUpKScGgeUu8DH4K2w7d/xtrMV6GPEXfQSMrvcfolJIZvjefviQ2xQwDv9gPGN2m6rKOUkXFxYhMSkNnwy/JTWnyHfcpE/vH9oRamZlWDW09MAwDRWUNRL58giZ6Jd/H3JxMxEeHoEPvMZXGYhgGl4+tx0v/u5j+51GoaTWr8LzCYiDtcy7i4uIgq58HCSkppKYXwsJEjp9w82S5aKEvi5sPvj3L2bujMtI/F+HZi6xyj/FkuXCe3hQ5ucVYs/sd3seXLNBMTs2DraUqImNKPkeOJwHTFkq4eL3y2XhZGQl+MlyqqJgBt/IKDmhpyKEJrzV8g1+hR9eSBW7FDAO/mASMaVv+yYyBhjLO/WovcMztXiCy8wuwuH87NPqqAFtRtuSVsDcpGXiVkIJZPaxwB0B+AZDyVVeOjGwGzZtykfBfCzsZKUBHk4Mnr6qfpEhLAuqKHARmf7m2lKQkWho0g9/LcPSwLfndKy4uxtOXERjVt0ul13K/6oHDl+7CbcmvMDWsvIXnJS9ftDJohuZNtcDklSS6pQsK0z4XwdRQCvH/Jdyy0hwYNpPCvWeVt5OMjC9AI3UJgWON1CWQkv7l6yDBBabYK0FZSQKbjn5CREzJ9VI+FcC6tSKi3pR8LMfjoqWRPK7crbyev1T/bupISy+Eb2DFP9M5ucUI/y9Ob2MJKPC4yMgqgqmhNOIS/7s/GQ4Mm0rB06/yhD8iLh+Nvpo5b6QuieS0b/xt53LBlak7HbXYUNdLUOo6SsBJg6Wvrw9fX1/ExsZCQUEBxsbGOHbsGG7dugUDAwMcP34cT58+hYGBQZXXGTduHJYuXYrp06fD2dkZcXFx2Lp1K4AvLeh+++03HDhwAGPHjsXixYuhpqaGyMhInD59GgcPHoSEhES58aipqYHLLV9rWFFLJqn//m7bdJ8I31t7oKKpB+X/2hDKK2vByKIP/9xzbpPQ3KIvrLr9AgB4dHkb9E27QVG1MQryshD27CriI/0wfOYhAEBacjzCA65Dr2Vn8BTUkJmWiKd390NWUhIBse9x2T8MZjpa+Ns7BDn5hRjapiSxWXr2LrSU5DHXriNkpCRh3EiwNr00eSk9riIpAZWv6q2luFxoKMhBX1MVz//7etrZj8HFs0eg3UQHWv+1IVRR00CbDl/6lm9Y9htsO/RAv59KEuwBQ8Zin+saGDRvBaMWprh5+TTycnPRvfdPAIAPCW/x2OsWrGw7QUFRGXGxkfjn2hPoqyviXvhbXH4eA7PGajj5LBw5BYUYYm4IAFh29Qm0FHlw6l7SVWSf9wtYNFGHjqoiPufmw90vDAkZ2RhmWXJ+QVExFl30RtiHVOz4uRuKixkkZ5b801fmSfN/ZjrbTYTnpX3QaKRX0obw3E4oqWjBtE1v/j0e2DgZrW37oFPf8QBKyk6CfK5h4u9ukJGVx+e0kqREVk4RUtIlX9fPaUn4nJ6MlA8lvbPzMt+AK8nD5btyGDmgMd5/zMfHlAKMG6yB1PRC+AZ/mZFe49QMT4Izcd0rjX+MwwF6dVDCvScZ5drj8WS5WDWnKWSkudh09D3keFyo/Vere+7KO0warYv49zklbQh/0UdKah4ePvlS4+66zgIPfJLx77WSpNz7aQomjtLDh6Q8xMRloYWhAkYPbYbrdxL58SaP1YfX4ySkfMpH00Y8zJpsiIign/HHitVopSQBsyYaOOEXWvI9tCwpr1p28SG0FOXg1LsNZCQl0FxLtcKf07LHb7+KhaqcLBoryyPi4ydsueWHniY66GTUFHcqyT29XxSil7UkktOZkjaEtpLIyGbw6s2XL9zUgVJ4GVsMn1clydrA9pIIfVOEtExAUa6kj3gxAwRHCSZz4wf0wKp9J2FqoIPWRno4edMLOXn5GNy9ZNHkir0noKWqjNmjS37ej17xwL7zN7Bu1gQ01lBDclrJmgY5WRnIyX7525KZnYu7fsH4fZzgk5JSd3xz8FNXeXxIKUJSWkkbwrTPxQgI+/LKycIJKggIy4Pn05IvzO0n2fhziioGdZHD05d5MGgqie42PLhfLRmDBBeYNVIZeo0lseNUOjgcDlSVS1KRS7c/YtzQxniXmIeEpDw4/NwUKWkF8PZP48fb8ocxvJ+l4dKdL0k5hwP0766OOw9TKmzj2L+bOuLe5yItowCmxgqYPVoFt3yykZFVDPvuCiX396kIw3srIO1zEQLCvpSSLHZQRcCrPNz9Lym/9TgLy6ap46du8vB7kQvDplLoYcvDkcsl9yctxYF9d3kEhuUh7XMRFOW46N1eDrJNJZBw/maFX+evScjLQb75lydNcgbNoGTZEvmp6ciNT6jWNUjdRwk4abAWLlyISZMmwdTUFDk5OQgLC0NgYCBGjx4NDoeDsWPHYtasWbhx40aV11FSUsKVK1cwc+ZMWFlZwdzcHCtWrMC4ceP4deFNmjSBt7c3lixZgn79+iEvLw96enqws7PjJ9lfjycmJgb6+vo1uifbPtNQkJ+Du6dXlGzEY9gGw2ceFOgBnp4cj5zML4t9sjNTcOvvJchK/whpniI0mphg+MxD0GvZGQAgKSWNd9HPEOjljtzsDMgpqqOZkS1OzxkJn4i3+N9dPyR/zoZJYw38b/JPUP+vBCUxLRNcThXTk9/pp+ETkJebg8O7N5ZsxGNqicWrdgj0AP+Y+A6fM9L4H3fo2hcZ6Wk4f3I/0j+lQM+wBRavcoWyaknyLykphZfBT3HrSklirqahBbsWOpjaqTWuvojBnkfPkZKVCxMtFewe1YPfWjAxI0tgBvZzbj7W3HyKlKxcKMlKo5W2Ko7+0gdGGiW1q0mZ2fCKLOlZPebILYH7OjC2J/Bfd8DugxyRn5eDfw+vRG72Z+i3sMHkRfsFeoCnfIxH1ucv38cnHqcBAPs3TBK47s/T1sO2W0l9+xPPM/C48D/+Y28CnAEARz/PBY83GrPGaUNejovQqByscXsn0AO8kaYUlBQEZy4tW8pBS10KHj7lZxWNdGRgYlBS5rF3TemTWKOSMTk+gYyMBBbPbgEFeUk8f5WOBSufC/QAb9qIBxWlLzXJ2/dFYtp4fSyYaQxVZSkkp+bj8s0EHDldspC2qBgw0pfHgF7aUJCXRHJqPp4GpqIvEjG/bxvs8QpCcmYOTLTV8L9xffgLMxMysgR6tVdHcmYOtt15ipTMXGgq8vCTuRGmd6t44XApr+CSns/Du0pB9r+NeI7cLBDol62uxIW87JevgbI8B2N7SUNOFsjKKfmc/13KR9ZXaxX7dbDGp4xM7D1/EynpGWih1xS7Fv8K9f8WZiYmfxL4XTzv4Y2CwiIs2XlU4DrThvXHryO+1K/efhIAhmFg19Gmwnu64Z0NGSkOJg1W/G+jmgK4/J0mcE9aahJQlPsykRD7vhC7z6RjRG8F2HeXR9KnIpy69RlPnpck7SqKXFj/18Zw9YzSErGScrMF615D+hYHvzvqQUFOAi/CM/HH5giBDiaNtWWgpCiYutiYKUJbQwY3vSpexNyssSymjG4KRQUJfEjKx+UHmbj1uCShlpHmwMFeib8Rz9bjnwR6gGupSkJB/ktJSsz7Quw8lYaRfRUwpLsCktOKcOLGZ/iElHzTGIZBYw1JdBnDg4IcF5nZxYh5VwCfnuOR+ary1phlKbcxQ0eP4/yPTbf+CQCIP/YvQhz/qNY1RIERUgeTHwWH+Z4N7An5wZ04cQKTJ09Geno6eLzq1QvXxt5b3z6HbQ5ZO759Eouet5707ZNY1Np7+7dPYtktsxUijed+9NslVmxKFsPs3J3R3iKNtzpn/rdPYtFSK89vn8Syuddtv30Si+LD40Uar0mZdS2iMmpj92+fxKJBBcJvedhzVMV96Gvq3tlv9+VuiGgGnJBqOHbsGAwNDdG0aVMEBwdjyZIlGDVqlEiSb0IIIYQ0LJSAE1INiYmJWLFiBRITE9G4cWOMHDkS69evF/ewCCGEELGgLii1Qwk4IdWwePFiLF68WNzDIIQQQuoE6oJSO5SAE0IIIYSQGqFFmLVT+X6rhBBCCCGEENbRDDghhBBCCKkRKkGpHUrACSGEEEJIjdAizNqhEhRCCCGEEEJEiSGENEi5ubnMypUrmdzc3AYbs6HHE0fMhh5PHDEbejxxxKR7JPUd7YRJSAOVkZEBZWVlpKenQ0lJqUHGbOjxxBGzoccTR8yGHk8cMekeSX1HJSiEEEIIIYSIECXghBBCCCGEiBAl4IQQQgghhIgQJeCENFAyMjJYuXIlZGRkGmzMhh5PHDEbejxxxGzo8cQRk+6R1He0CJMQQgghhBARohlwQgghhBBCRIgScEIIIYQQQkSIEnBCCCGEEEJEiBJwQgghhBBCRIgScEIIIYQQMYuLi0NFfTEYhkFcXJwYRkSEibqgEFLP7dy5s9rnOjk5CXEkopOWlgY/Pz98/PgRxcXFAo9NnDhRTKOqvwICAiAlJQVzc3MAwKVLl3DkyBGYmppi1apVkJaWZjXezZs3oaCggC5dugAAdu/ejQMHDsDU1BS7d++Gqqoqq/Eqk5aWBhUVFZHEErbu3bvD0dERI0eOBI/HE/dwhKKu/NwIi4SEBBISEqClpSVwPCUlBVpaWigqKhLTyIgwUAJOSD1nYGBQrfM4HA6io6NZiRkSElLtcy0sLFiJWerKlSsYP348MjMzoaSkBA6Hw3+Mw+EgNTWV1XhFRUU4evQoPDw8Kkz4PT09WY1XKjc3FyEhIRXGtLe3ZzVW27Zt4ezsjBEjRiA6OhqtW7fGsGHD8PTpUwwaNAiurq6sxjM3N8fmzZsxcOBAPH/+HG3btsX8+fNx7949tGzZEkeOHGE1HgBs3rwZ+vr6GD16NABg1KhROH/+PBo1aoTr16/D0tKS9ZhlZWRkwNPTEyYmJmjVqhXr1//9999x8uRJ5OXlYdSoUXB0dESHDh1Yj1ORyMhIREVFoVu3buDxeGAYRuD3ki3i+LkplZ+fj5iYGBgZGUFSUlIoMbhcLj58+ABNTU2B42/evIGpqSmysrKEEpeIByXghJAa43K54HA41fpHy/asTYsWLTBw4EBs2LABcnJyrF67IrNnz8bRo0cxaNAgNG7cuNz9bt++nfWYN2/exMSJE5GcnFzuMQ6Hw/rXVFlZGQEBATAyMsLmzZvh6emJW7duwdvbG2PGjEF8fDyr8RQUFPDixQvo6+tj1apVePHiBc6dO4eAgAAMHDgQiYmJrMYDSp6onjhxAp06dcKdO3cwatQonDlzBmfPnkVcXBxu377NarxRo0ahW7dumD17NnJycmBpaYnY2FgwDIPTp09jxIgRrMYDgMLCQly+fBnu7u64ceMGmjdvjilTpmDChAnQ1tZmPV5KSgpGjx4NT09PcDgcREREwNDQEFOmTIGqqiq2bdvGajxx/NxkZ2djzpw5cHd3BwCEh4fD0NAQc+bMQdOmTeHs7FzrGPPnzwcA7NixA9OmTRP4u1ZUVARfX19ISEjA29u71rFIHcIQQhqk4uJipri4WCjXjo2N5b9duHCBMTIyYvbu3csEBwczwcHBzN69exljY2PmwoULrMeWk5NjoqKiWL9uZdTV1Zlr166JLB7DMEzz5s2ZWbNmMYmJiSKJp6ioyISHhzMMwzB9+vRhXF1dGYZhmDdv3jCysrKsx1NVVWVevnzJMAzDdO7cmdm3bx/DMAwTExPD8Hg81uMxDMPIysoycXFxDMMwjJOTEzN9+nSGYRjm9evXjIqKCuvxtLW1maCgIIZhGObEiRNM8+bNmaysLOZ///sfY2VlxXq8r3348IFZu3YtIysry0hJSTFDhgxhPDw8WI0xYcIEpn///kx8fDyjoKDA/728efMmY2pqymoshhHPz42TkxPTpk0b5uHDh4y8vDz/Hi9evMja97FHjx5Mjx49GA6Hw3Tq1In/cY8ePZh+/fox06dP5/9+koaDEnBCGhh3d3fGzMyMkZGRYWRkZBhzc3Pm2LFjQovXtm3bChPUa9euMTY2NqzHGzZsGHPmzBnWr1uZxo0bM69fvxZZPIYpSYgjIyNFFq9nz57MxIkTmWPHjjFSUlJMREQEwzAMc//+fUZPT4/1eIMHD2b69+/PrFmzhpGSkmLevn3LMAzD3Lp1izE2NmY9HsOUfB+9vb0ZhmGYFi1aMGfPnmUYhmHCwsIYRUVF1uOVTfgnTJjALFmyhGGYkic18vLyrMcry9fXl5kxYwajoqLC6OrqMitWrGAcHR0ZHo/HLFiwgLU4ZZ9klE3Ao6KihHKP4vi50dXVZXx8fBiGEbzHiIgI1n9uHBwcmPT0dFavSeou4RQyEULEwsXFBcuXL8fs2bPRuXNnAMCjR48wY8YMJCcnY968eazHfP78eYV16AYGBnj16hUrMS5fvsx/f9CgQVi0aBFevXoFc3NzSElJCZzLdn30ggULsGPHDri5uQmlrrUiP//8M+7fvw8jIyORxHN1dcX48eNx8eJFLF26FM2bNwcAnDt3Dp06dWI9npubG2bNmoVz585hz549aNq0KQDgxo0bsLOzYz0eAAwfPhzjxo2DsbExUlJSMGDAAABAYGAg/37ZpKOjAx8fH6ipqeHmzZs4ffo0AODTp0+QlZVlPd7Hjx9x/PhxHDlyBBERERg8eDBOnTqF/v37839uHRwcYGdnh61bt7ISMysrq8IysNTUVMjIyLASoyxx/NwkJSWVWxQJlNw7238PSmvYRVVTT8SLasAJaUAMDAywevXqcp1A3N3dsWrVKsTExLAe08bGBmZmZjh48CC/W0Z+fj6mTp2KFy9eICAgoNYxuNzqdUxlqz56+PDhAh97enpCTU0NrVu3Lpfw//vvv7WO97Xs7GyMHDkSmpqaFT7JEFU3m9zcXEhISJSLXx8VFBRgx44diI+Ph4ODA6ytrQGU1PArKipi6tSprMb73//+h7lz50JBQQF6enoICAgAl8vFrl278O+//+LevXusxpOWloaRkRGmTJkCBweHcgv5gJKFoEOGDGEt9sCBA9GmTRusXbsWioqKCAkJgZ6eHsaMGYPi4mKcO3eOlTji1K1bN4wcORJz5szh36OBgQHmzJmDiIgI3Lx5k7VYqampGDlyJO7duyeSmnoiXpSAE9KAyMrK4sWLF+Vm9CIiImBubo7c3FzWY/r5+WHw4MFgGIbf8SQkJAQcDgdXrlxBu3btWI8pbJMnT672ucLovHDo0CHMmDEDsrKyUFdXL9fpha1uNqKUkZFR7XOVlJSEOBLRefbsGeLj49G3b18oKCgAAK5duwYVFRX+K1RsefjwIbp27crqNb/lxYsX6N27N2xsbODp6Ql7e3u8fPkSqamp8Pb2FsorOFFRUThy5AiioqKwY8cOaGlp4caNG9DV1UXr1q1Zj/fo0SMMGDAAv/zyC44ePYpff/0Vr169wuPHj+Hl5YU2bdqwFmvixIn4+PEjDh48iFatWiE4OBiGhoa4desW5s+fj5cvX7IWi4gfJeCENCBmZmYYN24c/vzzT4Hj69atw5kzZ/D8+XOhxM3KysKJEycQFhYGAGjVqhXGjRsHeXl5ocT7WkPq5wwAjRo1gpOTE5ydnas9+19Tqqqq1X5Zm43WjqWdc6qDrS4vZUuXvoXt0iVR69WrF/79999yvwcZGRkYOnSo0Nplpqenw83NDcHBwcjMzISNjQ1+++03NG7cmPVYXl5eGDBgADp37owHDx4gNDQUhoaG2LRpE549eya0GfeoqChs2rRJ4B6XLFnC75vPlkaNGuHWrVuwtLSEoqIiPwGPjo6GhYUFMjMzWY1HxIsScEIakPPnz2P06NHo06cPf4bN29sbHh4eOHv2LIYNGybmEdbe1/2cR44cifPnz6Nx48ZC6eeck5MDhmH4ta5v3rzBhQsXYGpqin79+rEaq5SamhqePn0q1Brw0rZq1TFp0qRax/Py8uK/HxsbC2dnZzg4OKBjx44AAB8fH7i7u2Pjxo2sxANEX7pUlqj7x1e2icvHjx/RtGlTFBQUsBpPHDp27IiRI0di/vz5Agmqn58fhg8fjrdv34p7iLWiqKiIgIAAGBsbC9zfs2fP0L9/f6SkpIh7iIRFlIAT0sD4+/tj+/btCA0NBVAyG71gwQJ+zSsbLl++jAEDBkBKSuqbs4xszyyKup9zv379MHz4cMyYMQNpaWkwMTGBtLQ0kpOT4eLigpkzZ7IaDwDmzZsHTU3Ncq9kNBS9e/fG1KlTMXbsWIHjJ0+exP79+3H//n3xDIxFouofX7oplpWVFX+tQqmioiLcvHkT+/btQ2xsLCvxynrw4EGVj3fr1o3VeAoKCvxF32UT1NjYWLRs2VIoJXYAUFxcjMjIyAqfSLF5jz9CTT35ghJwQkiNcblcJCYmQktLq8pZRmHMLPJ4PISHh0NHRwdz585Fbm4u9u3bh/DwcLRv3x6fPn1iNZ6Ghga8vLzQunVrHDx4ELt27UJgYCDOnz+PFStW8J/osMnJyQnHjh2DpaUlLCwsyi2CdHFxYT1mUVERLl68yL+f1q1bw97eHhISEqzHkpOTQ3BwMIyNjQWOh4eHw8rKCtnZ2azHFDUNDQ0cO3YMAwcOFGqcsqU9Ff075/F42LVrF6ZMmSKU2F8r+0SD7d/9Zs2a4ezZs+jUqZNAAn7hwgUsXLgQUVFRrMYDgCdPnmDcuHF48+ZNua8v23/fxFFTT8SH2hAS0sCIYram7HW/jiFsqqqqiI+Ph46ODm7evIl169YBKEk+2P6HD5R0JFFUVAQA3L59G8OHDweXy0WHDh3w5s0b1uMBJa0dS1+xePHihcBjwmhHFhkZiYEDB+Ldu3cwMTEBAGzcuBE6Ojq4du0a6//4dXR0cODAAWzZskXg+MGDB6Gjo8NqrLK8vLywdetW/pMMU1NTLFq0SCiLF6WlpYXS3vBrMTExYBiGX4pRtvuJtLQ0tLS0hPIkCkC5J7sFBQUIDAzE8uXLsX79etbjjRkzBkuWLME///wDDoeD4uJieHt7Y+HCheU6P7FlxowZsLW1xbVr1yp8JYNNZmZmCA8Ph5ubGxQVFZGZmYnhw4cLraaeiJmI+44TQoTIx8eHMTAwYLhcLsPhcATeuFyuuIfHit9++43R09Nj+vTpw6irqzOfP39mGIZhTp06xVhbW7Mez9zcnNmxYwcTFxfHKCkpMY8fP2YYhmGePXvGaGtrsx5PHAYMGMDY2dkxKSkp/GPJycmMnZ0dM3DgQNbjXbt2jZGVlWXMzMwYR0dHxtHRkTE3N2dkZWWFtuvo8ePHGUlJSWbUqFHMjh07mB07djCjRo1ipKSkmBMnTrAeb+vWrcysWbOEthttXXb//n2hbMKVl5fHTJ06lZGUlGQ4HA4jJSXFcLlc5pdffmEKCwtZj8cwJTvvlm5MRQibqASFkAbEysoKLVq0wOrVqyucrVFWVmY9ppOTE5o3b16uN7WbmxsiIyPh6urKajxR93M+d+4cxo0bh6KiIvTu3ZtfY75x40Y8ePAAN27cYDWeOMjLy+PJkyflujoEBwejc+fOQum+EB8fjz179gh0zpkxY4bQZsBbtWqF6dOnl9uMysXFBQcOHGC9lGjYsGG4d++eUPvHi3MtRlXCwsJga2srtK4dcXFxePHiBTIzM2FtbV2ulIlNvXr1wuLFi4W20U9ZpfX8X+NwOJCVlYWurq5QNjgi4kEJOCENiLy8PIKDg0Xy0neppk2b4vLly+X64QYEBMDe3l5onQlevXqFuLg45OfnCxwXRqKRmJiIhIQEWFpa8ute/fz8oKSkhJYtW7Ier2fPnlW+1M12Bw01NTVcvXq13K6X3t7eGDx4MCttCMVNRkYGL1++LPe7ERkZCTMzM9YX8H2rlzwb/ePFuRYDKJ8wMgyDhIQEbNq0CYWFhXj06BHrMUXtwoULWLZsGRYtWlThplilex+woaJ6/rJ/B6SkpDB69Gjs27dPKLupEtGiGnBCGpD27dsjMjJSpAl4SkpKhTPrSkpKSE5OZj1edHQ0hg8fzu9p/vU/KmEkGo0aNUKjRo0EjglzgyErKyuBjwsKChAUFIQXL16w1qKvrJ9++gnTp0/HoUOH+Pfl6+uLGTNmsPaEJiQkBGZmZuByuZXO9JViM6kppaOjAw8Pj3K/G3fv3hXKrLswNmj6mjjXYgAlP6ccDqfc4sQOHTrg8OHDrMcTdWtHABgxYgQACCxiLb1ntp/YXLhwAUuWLMGiRYv4v4d+fn7Ytm0bVq5cicLCQjg7O2PZsmXYunUra3GJeFACTkg9VzaZmTNnDhYsWIDExEShz9aUat68OW7evInZs2cLHL9x4wYMDQ1Zjzd37lzo6+vj7t27MDAwgJ+fH1JSUrBgwQKh/VN69uwZv83h1zPuwtiKvrIWdatWrRLKy/o7d+7EpEmT0LFjR/7PTGFhIezt7bFjxw5WYlhZWfFnaytL3ADhzdYuWLAATk5OCAoK4s/0e3t74+jRo6zdY10j7A2qYmJiBD7mcrnQ1NQU2uzs3Llz+a0dzczMhLogstTX9yhM69evx44dO9C/f3/+MXNzczRr1gzLly+Hn58f5OXlhfq3jogOlaAQUs+VvmxZ2a+ysGZrSh0+fBizZ8/GokWL0KtXLwCAh4cHtm3bBldXV0ybNo3VeBoaGvD09ISFhQWUlZXh5+cHExMTeHp6YsGCBQgMDGQ13unTpzFx4kT0798ft2/fRr9+/RAeHo4PHz5g2LBhIpnpLBUZGYl27doJrSQkIiJCoCabzVdS3rx5A11dXXA4nG92j9HT02MtblkXLlzAtm3bBHrkL1q0CEOGDGHl+jY2NvDw8ICqqiqsra2rTBADAgJYiVlK1BtUlfLw8Kh0RprtWXBRtXYUFx6Ph8DAwHJlbWFhYbC2tkZOTg5iY2NhamraIFp1/uhoBpyQek6UMzQVmTJlCvLy8rB+/XqsXbsWAKCvr489e/YIpTVYUVERvy2ghoYG3r9/DxMTE+jp6eH169esx9uwYQO2b9+O3377DYqKitixYwcMDAzw66+/irw1mI+Pj1BrP42NjYW2oK1sUi2sBPtbhg0bJtTdYIcMGcJfJDd06FChxanI3r17ceLECQDAnTt3cPfuXdy8eRNnz57FokWLWN+gCgBWr16NNWvWwNbWVugt+gDRtXYU1+LWli1bYtOmTdi/fz+kpaUBlJSfbdq0iZ+Uv3v3Dtra2qzFJOJDM+CEENYkJSWBx+NBQUFBaDG6du2KBQsWYOjQoRg3bhw+ffqEZcuWYf/+/fD39y/XN7u25OXl8fLlS+jr60NdXR3379+Hubk5QkND0atXLyQkJLAaDwCGDx8u8HHp4rZnz55h+fLlWLlyJavxxFFbGxUVBVdXV4Ge3HPnzhX6ZiP5+fkV3qOurq5Q4wqbqDeoAoDGjRtjy5YtmDBhAuvXrsi2bdsQHR0NNzc3oSb74lrc+vjxY9jb24PL5fLLBZ8/f46ioiJcvXoVHTp0wPHjx5GYmIhFixaxFpeIB82AE9LAiCuxASCwCYiwLFu2DFlZWQCANWvW4KeffkLXrl2hrq6OM2fOsB5PVVUVnz9/BlDS8eXFixcwNzdHWlqa0F4G/npRK5fLhYmJCdasWYN+/fqxHk/UtbW3bt2Cvb09rKys0LlzZwAl9ditW7fGlStX0LdvX9ZjRkREYMqUKXj8+LHAcWGWZwGiS/hFvUEVUHJvX3fOEaZHjx7h3r17uHHjhtBaOwLiW9zaqVMnxMTE4MSJEwgPDwdQUko0btw4/qt+onqyQ4SPZsAJaUAqS2yCg4OFltgAJb2yK1ukyHata0VSU1OhqqoqlMRx3LhxsLW1xfz587F27Vrs2rULQ4YMwZ07d2BjYyOURZiiJuraWmtra/Tv3x+bNm0SOO7s7Izbt28L5Wemc+fOkJSUhLOzc4XlEmzXSIeHh8PR0VFkCf/s2bNx9epVGBsbIzAwELGxsVBQUMDp06exZcsWoXxNlyxZAgUFBSxfvpz1a1dEFK0dxaWgoAAtW7bE1atX0apVK3EPh4gAJeCENCDiSGx27tyJpUuXwsHBAfv378fkyZMRFRWFp0+f4rfffhPKltSilJqaitzcXDRp0gTFxcXYsmULHj9+DGNjYyxbtgyqqqriHmKtNWnSBPfv30eLFi1EEk9WVhbPnz8vV28eHh4OCwsL1ntyAyWlRP7+/kLp214RUSf8otqgav78+fz3i4uL4e7uDgsLC1hYWJSbkXZxcWElpqjt3Lmz2ud+vQFZbTRt2hR3796lBPwHQQk4IQ2IOBKbli1bYuXKlRg7diwUFRURHBwMQ0NDrFixAqmpqXBzc2M9Zl20adMmzJgx47vbvqmpqSE8PBwaGhrfnM1nuwuKqGprS+no6MDFxQUjR44UOH727FksXLgQcXFxrMds27Yttm/fji5durB+7YqIOuEXlZ49e1brPA6HI5S1A6JgYGBQrfM4HA6io6NZi7thwwaEh4fj4MGDkJSkCuGGjr7DhDQgmpqaCAoKKpeABwUFQUtLSygx4+Li+HWgPB6PXy89YcIEdOjQ4YdJwDds2IBRo0Z9dwJeOlNZ+r4oEuFSoqqtLTVt2jRMnz4d0dHRAj25N2/eLDDDyqbNmzdj8eLF2LBhQ4U98pWUlFiNZ2pqKpSNqKoSERGBe/fuVVhzvmLFClZi3Lt3j5XrVJc4WjuKq7PU06dP4eHhgdu3b8Pc3Bzy8vICjzeEcjfyBSXghDQg4khsGjVqhNTUVOjp6UFXVxdPnjyBpaUlYmJiKu1N3hDV9l7L7nDp4OBQy9HUjIqKilDb831t+fLlUFRUxLZt2/DHH38AKCmDWbVqFasv6ZfVp08fAEDv3r0FjgurJlvUCf+BAwcwc+ZMaGhooFGjRgKJKofDYS0BF7WyrR2HDBki0iemX6toe3g2qaio8HfeJA0flaAQ0oAwDANXV1ds27YN79+/B1CS2CxatAhOTk5C+ccxdepU6OjoYOXKldi9ezcWLVqEzp0749mzZxg+fDgOHTrEesy6qGz5TW0FBARASkoK5ubmAIBLly7hyJEjMDU1xapVq/g9ghuC0ldMSmf/hcXLy6vKx7t3785qvNL2dV//zgkr4dfT08OsWbOwZMkSVq9LgGPHjuGvv/5CREQEAKBFixZYtGgRdSQhtUIJOCENlKgSm+LiYhQXF/NrFk+fPs1fpPjrr782qGSxKmwm4G3btoWzszNGjBiB6OhomJqaYvjw4Xj69CkGDRoEV1fX2g/4K4WFhbh//z6ioqL4bc/ev38PJSUlofZ1b6hEnfArKSkhKCiIlZ+/umrFihXo2bMnOnbsKNQNqcpycXHB8uXLMXv2bH5nqUePHmH37t1Yt24d5s2bJ5JxkIaHEnBCGpCYmBgUFhaWqwGPiIiAlJQU9PX1xTMwALNmzcKaNWugoaEhtjEIE5sJuLKyMgICAmBkZITNmzfD09MTt27dgre3N8aMGYP4+HgWRvzFmzdvYGdnh7i4OOTl5SE8PByGhoaYO3cu8vLysHfvXlbjffjwAQsXLuRv/PP1vyFh9a1++PAh9u3bh+joaPzzzz9o2rQpjh8/DgMDA5EtzhQWR0dHtG3bFjNmzBD3UISmb9++8PHxQWFhIdq2bYvu3bujR48e6Ny5M3g8nlBiGhgYYPXq1eV29XV3d8eqVatYrxcXd0tXIjpUA05IA+Lg4IApU6aUS8B9fX1x8OBB3L9/XzwDA/D3339j4cKFDTYBZxPDMPxFdHfv3sVPP/0EoKR7iDAW9s2dOxe2trYIDg6Guro6//iwYcMwbdo01uM5ODggLi4Oy5cvF8kW5gBw/vx5TJgwAePHj0dAQADy8vIAAOnp6diwYQOuX78ulLjZ2dkVJlOlOx2ypXnz5li+fDmePHlSYc25sGrrRenOnTsoLCyEr68vHjx4AC8vL+zcuRN5eXlo27YtHj16xHrMhISECjcb6tSpE+u74JZt6Xrp0qVyLV1JA8MQQhoMRUVFJiIiotzxiIgIRllZWfQDKkNBQYGJiooS6xiqa968eUxmZibDMAzj5eXFFBQUfPNzBgwYwLx//56V+D179mQmTpzIHDt2jJGSkuJ/T+/fv8/o6emxEqMsNTU1JiwsjGEYwe9TTEwMw+PxWI+noKDABAYGsn7dqlhZWTHu7u78+KX3GBAQwGhra7Me7+PHj8ygQYMYLpdb4Rvb9PX1K30zMDBgPZ64vX79mtm7dy/z888/M5KSkoy6urpQ4rRu3ZpZv359ueNr165lzMzMWI1lYmLCnDx5kmEYwZ/R5cuXM7/99hursYj40Qw4IQ0Ih8Ph136XlZ6eLrSX9RuiXbt2YcmSJZCXl0fPnj2RkJDwzTaObM6gurq6Yvz48bh48SKWLl2K5s2bAyh5eVoYW38XFxdX+PPx9u1boawh0NHREXmHnNevX6Nbt27ljisrKyMtLY31eL///jvS0tLg6+uLHj164MKFC/jw4QPWrVuHbdu2sR5PXK3zRGn//v24f/8+vLy8kJeXh65du6JHjx5YtmwZ668olFq9ejVGjx6NBw8eCOwu7OHhgbNnz7Iai1q6/lgoASekAenWrRs2btyIU6dOQUJCAkBJPe3GjRvrfY2rKOnr62Pnzp3o168fGIaBj49PpTteVpTU1ZaFhQWeP39e7vhff/3F/76yqV+/fnB1dcX+/fsBlDyRy8zMxMqVK4WyPb2rqyucnZ2xb98+ka1LaNSoESIjI8vFe/TokVAWLnp6euLSpUuwtbUFl8uFnp4e+vbtCyUlJWzcuBGDBg1iPSYA5OfnIyYmBkZGRg1uM5cZM2ZAU1MTCxYswKxZs0SyOHjEiBHw8/ODi4sLLl68CABo1aoV/Pz8+LuNsoVauv5gxDwDTwhh0cuXLxl1dXXGyMiIcXBwYBwcHBgjIyNGU1OTef78uVjHVp9KUC5cuMBoa2szHA6H4XK5DIfDqfBNGKUEpT59+sQcOHCAcXZ2ZlJSUhiGYRh/f3/m7du3rMeKj49nTE1NmVatWjGSkpJMhw4dGHV1dcbExIT58OED6/FUVFQYaWlphsvlMgoKCoyqqqrAmzBs2LCBMTU1ZZ48ecIoKioyDx8+ZP7++29GU1OT2blzJ+vxFBUVmZiYGIZhGEZXV5d59OgRwzAMEx0dLZSynqysLGbKlCmMhIQEIyEhwf9dmz17NrNx40bW44nDhQsXmHnz5jHW1taMrKws07FjR+aPP/5gbt26xWRlZbEeLz8/n5k8eTITHR3N+rUr4ujoyKxatYphGIZxc3NjeDwe06dPH0ZFRYWZMmWKSMZARIe6oBDSwLx//x5ubm4IDg4Gj8eDhYUFZs+eDTU1NbGOi80uIaKSmZkJJSUlvH79utISFGVlZdbjhoSEoHfv3lBRUUFsbCxev34NQ0NDLFu2DHFxcTh27BjrMQsLC3H69GmEhIQgMzMTNjY2GD9+vFC6S7i7u1f5eNlNidjCMAw2bNiAjRs3Ijs7GwAgIyODhQsXYu3atazHa9u2LdatW4f+/fvD3t4eKioq2LhxI3bu3Ilz584hKiqK1Xhz586Ft7c3XF1dYWdnh5CQEBgaGuLSpUtYtWoVAgMDWY0nbunp6Xj48CH++ecfnDp1ClwuF7m5uazHUVZWRlBQULW3p6+NmJgYNG3alN+6tWxLVzs7u3KL60n9Rgk4IUQkZs6cibVr19a7LiheXl7o3LmzSF/O79OnD2xsbLBlyxaBJy6PHz/GuHHjEBsbK7KxNDT5+fmIjIxEZmYmTE1NhVbG8Pfff6OwsBAODg7w9/eHnZ0dUlNTIS0tjaNHj2L06NGsxtPT08OZM2fQoUMHgZ+ZyMhI2NjYICMjg9V44pKSkgIvLy/cv38f9+/fx8uXL6GqqoquXbviwoULrMebNGkSrKysRNLvW0JCosL1JikpKdDS0qJ1PA1MwyoQI+QHFBISUu1zhbFQ6ciRI1BQUMDIkSMFjv/zzz/Izs7mz2bu2bOH9dii0L17dxQVFeH8+fMIDQ0FAJiammLIkCFCqccGgKdPn2Lfvn3ljjdt2hSJiYlCiRkREYF79+7h48eP/BaIpYS5jXlubm65Fn1sb9NelrS0NExNTYV2/VK//PIL//02bdrgzZs3CAsLg66urlCehCYlJVX4Kk1WVpZYt29nk7m5OUJDQ6Gqqopu3bph2rRp6N69u9AWYAKAsbEx1qxZA29vb7Rp0wby8vICj7PZ3rGy+dDMzEyRbTxERIcScELqOSsrK3A4nG8u0hHG9tcAsHHjxgqTRS0tLUyfPl0o5QSiFBkZiUGDBuHt27cwMTEBUHLPOjo6uHbtGoyMjFiPKSMjU+GMZXh4ODQ1NVmPd+DAAcycORMaGhpo1KiRQMLG4XBYT8CzsrKwZMkSnD17FikpKeUeF8bPaVZWFjZt2sTf/OfrJxnR0dGsxrt37x569uzJ/1hOTg42NjasxijL1tYW165dw5w5cwCA/z08ePAgOnbsKLS4ojRjxgx0794dZmZmIot56NAhqKiowN/fH/7+/gKPcTgcVhLw+fPn86+3YsUKyMnJ8R8rKiqCr68vrKysah2H1C2UgBNSz4m7/VhcXFyF9ZF6enqIi4sTw4jY5eTkBENDQ/j4+PDr6FNSUvDLL7/AyckJ165dYz2mvb091qxZw29zxuFwEBcXhyVLlmDEiBGsx1u3bh3Wr1+PJUuWsH7tiixevBj37t3Dnj17MGHCBOzevRvv3r3Dvn37sGnTJqHEnDp1Kry8vDBhwgSRbP5jZ2eHZs2aYfLkyZg0aRJ0dHSEGm/Dhg0YMGAAXr16hcLCQuzYsQOvXr3C48eP4eXlJdTYolLdzWiUlJQQFBTEynqTsn9fSyc52P7ZKa3PZxgGz58/59eAAyWv2FhaWmLhwoWsxiR1gNiWfxJChObly5fMjRs3mEuXLvHfLl++LJRYOjo6zKVLl8odv3jxItO0aVOhxBQlOTk5JiQkpNzxoKAgRl5eXigx09LS+N0PJCQkGB0dHUZKSorp1q0bf4MgNikqKoq0Q42Ojg5z7949fuzSjYaOHTvGDBgwQCgxlZWV+Z1IRCEpKYlxcXFhLC0tGUlJSaZfv37MmTNnmLy8PKHFjIyMZKZOncq0bduWadWqFTN+/PgKf3YbOrY7Lh08eJBp3bo1Iy0tzUhLSzOtW7dmDhw4wNr1Szk4ODDp6emsX5fUTTQDTkgDEh0djWHDhuH58+cCZSmlMzbCeGl/7NixcHJygqKiIr8ntpeXF+bOnYsxY8awHk/UZGRkKtzcKDMzU2Cmik3Kysq4c+cOHj16JNCVpE+fPkKJN3LkSNy+fRszZswQyvW/lpqayp+dVFJSQmpqKgCgS5cumDlzplBiqqqqirQTkIaGBubNm4d58+YhICAAR44cwaxZszBr1iyMGzcOjo6OsLS0ZDWmkZERDhw4wOo1f3QrVqyAi4sL5syZwy/l8fHxwbx58xAXF4c1a9awFuvIkSOsXYvUfdQFhZAGZPDgwZCQkMDBgwdhYGAAX19fpKamYsGCBdi6dSu6du3Kesz8/HxMmDAB//zzD79TSHFxMSZOnIi9e/cKLUkVlYkTJyIgIACHDh1Cu3btAAC+vr6YNm0a2rRpg6NHj4p3gN9p586d/PezsrLg4uKCQYMGwdzcHFJSUgLnsrnQDChZDLxr1y50794dffr0gZWVFbZu3YqdO3diy5YtePv2LavxgJKuJJcuXYK7u7tAja2ovH//Hvv378emTZsgKSmJ3NxcdOzYEXv37kXr1q1rfX3qoPEFmy1PNTU1sXPnTowdO1bg+KlTpzBnzhwkJyfXOgb5MVECTkgDoqGhAU9PT1hYWEBZWRl+fn4wMTGBp6cnFixYINRewOHh4fze4+bm5tDT0xNaLFFKS0vDpEmTcOXKFX5iWlhYCHt7exw9elQofcABwMPDo9IFg4cPH6719avb15jD4bC+QHH79u2QkJCAk5MT7t69i8GDB4NhGBQUFMDFxQVz585lJY61tbVAvW5kZCQYhoG+vn65JxkBAQGsxCyroKAAly5dwuHDh3Hnzh3Y2trC0dERY8eORVJSEpYtW4aAgAC8evWq1rG4XC4SExPLJeDv37+HkZERcnJyah2jvmAzAVdRUcHTp0/L9eAODw9Hu3btkJaWVusY5MdEJSiENCBFRUVQVFQEUJKMv3//HiYmJtDT08Pr16+FGrtFixZo0aKFUGOIg4qKCi5duoTIyEh+G8JWrVqhefPmQou5evVqrFmzBra2tkJbMCjOxbtleyr36dMHYWFh8Pf3R/PmzVltKTd06FDWrlVTc+bMwalTp8AwDCZMmIAtW7YIdO+Ql5fH1q1b0aRJk1rFKX0lg8Ph4ODBgwJ9zYuKivDgwQO0bNmyVjHqGzZ/XyZMmIA9e/bAxcVF4Pj+/fsxfvx41uKQHw/NgBPSgHTt2hULFizA0KFDMW7cOHz69AnLli3D/v374e/vjxcvXrASZ/78+Vi7di3k5eX5LbQq8/U/roaKzc4LjRs3xpYtWzBhwgQWRlYzX68bEIb4+HihdwURt969e2Pq1KkYPnw4ZGRkKjynsLAQ3t7e6N69+3fHKX0l482bN2jWrJlAb3ppaWno6+tjzZo1aN++/XfHqG/YnAGfM2cOjh07Bh0dHXTo0AFASQlaXFwcJk6cKPBKyo/yt46wg2bACWlAli1bhqysLADAmjVr8NNPP6Fr165QV1fHmTNnWIsTGBiIgoIC/vuVaSgbgFQHm3MZ+fn56NSpE2vXq45Dhw5h+/btiIiIAFCyAcnvv/+OqVOnsh5LX18fXbp0wS+//IKff/4ZqqqqrMeozLNnzwQ2VGrTpo1Q4nh4eHzzHElJyVol38CXVzJ69uyJf//9V6Rfy7rqxo0baNq0KSvXevHiBb9/e1RUFICSVxc1NDQEJjR+pL91hB00A05IA5eamgpVVVX6ByFkbM66LVmyBAoKCli+fDkLI/u2yjo9uLm5Yd68eax2egBKnrSdPHkSp0+fRlJSEuzs7PDLL79g8ODBlc4W19bbt28xduxYeHt7Q0VFBUBJfX+nTp1w+vRpNGvWjNV4GzduhLa2NqZMmSJw/PDhw0hKShJZz/X67luvsJVFM9CkPqEEnBBCWMBmAj537lwcO3YMFhYWsLCwKLdgkO1EQ1ydHhiGwf3793Hy5EmcP38excXFGD58OCuLTL9mZ2eHtLQ0uLu783c0ff36NSZPngwlJSXcvHmT1Xj6+vo4efJkuVcyfH19MWbMGNZr8IuKinD06NFKF+56enqyGk9Uyu4mCpQsli0sLOR/D8PDwyEhIYE2bdrU23skPyZKwAkhNTZ8+PBqn/vvv/8KcSR1B5sJ+NdJR1kcDof1RKMudHoICAiAo6MjQkJChNIyj8fj4fHjx7C2thY47u/vj65duyI7O5vVeLKysggNDS3XbSY6OhqmpqbIzc1lNd7s2bNx9OhRDBo0qMKFu9u3b2c1nji4uLjg/v37cHd355fafPr0CZMnT+avfyGkvqAacEJIjQmr9V59xmaJz71791i7VnWIq9PD27dvcfLkSZw8eRIvXrxAx44dsXv3bqHE0tHR4a9bKKuoqKjWnUgqi+ft7V0uAff29hZKvNOnT+Ps2bMYOHAg69euK7Zt24bbt28L1Lmrqqpi3bp16NevHyXgpF6hBJwQUmO0Y1t59f3FxEOHDuH27dsVdnooW4fLRvnLvn37cPLkSXh7e6Nly5YYP348Ll26JNTe8X/99RfmzJmD3bt3w9bWFkDJgsy5c+di69atrMebNm0afv/9dxQUFKBXr14AShZmLl68WCiJorS0tFBbY9YFGRkZSEpKKnc8KSmpwt1qCanLqASFEEKqcO/evSpLQko9evQIbdu2ZWUR4bBhwyqcUedwOJCVlUXz5s0xbtw4fh1sbVXn/krjs1H+oqOjg7Fjx2L8+PGsb8deGVVVVWRnZ6OwsJC/Y2vp+/Ly8gLnpqam1joewzBwdnbGzp07kZ+fD6CkLGXJkiVYsWJFra//tW3btiE6Ohpubm4NdsH1xIkT8fDhQ2zbtk1gV9pFixaha9eucHd3F/MICak+SsAJIbV27tw5nD17FnFxcfxko5QwdhgUJRkZGTRr1gyTJ0/GpEmTRNK/2sHBARcvXoSKigq/TV5AQADS0tLQr18/BAcHIzY2Fh4eHujcubPQx1Pq7du3aNKkCbhcbq2uwzCMyJPEmiRnkyZNYi1uZmYmQkNDwePxYGxsLLQuL8OGDcO9e/egpqaG1q1bl1u42xDWYmRnZ2PhwoU4fPgwv5xIUlISjo6O+Ouvv8o9kSKkLqMEnBBSKzt37sTSpUvh4OCA/fv3Y/LkyYiKisLTp0/x22+/Yf369eIeYq0kJyfj+PHjcHd3x8uXL9GrVy84Ojpi6NChkJaWFkpMZ2dnZGRkwM3NjZ/sFhcXY+7cuVBUVMT69esxY8YMvHz5Eo8ePRLKGCrC5mZDQElCVdGTNjZ3w6ypTZs2YcaMGfxWhWx4+/YtALDe6rCsyZMnV/l4Qyoby8rK4vfkNjIyosSb1EuUgBNCaqVly5ZYuXIlxo4dK9AJZMWKFUhNTYWbm5u4h8iagIAAHDlyBKdOnQIAjBs3Do6OjqyXUWhqasLb2xstWrQQOB4eHo5OnTohOTkZz58/R9euXUXSoaQUW51ekpKS4ODgUGnrP2F0Qakutp5kFBcXY926ddi2bRsyMzMBlHz9FixYgKVLl9b6VYQfWWRkJKKiotCtWzfweDyxvKJCSG3RXwBCSK3ExcXxex3zeDz+YqgJEybwE9WGwsbGBn/88Qdmz56NzMxMHD58GG3atEHXrl3x8uVL1uIUFhYiLCys3PGwsDB+ciorK1tvk47ff/8d6enp8PX1BY/Hw82bN+Hu7g5jY2NcvnxZrGNja05q6dKlcHNzw6ZNmxAYGIjAwEBs2LABu3btEtkGSw1NSkoKevfujRYtWmDgwIFISEgAADg6OlIHFFLvUBcUQkitNGrUCKmpqdDT04Ouri6ePHkCS0tLxMTE1PvOIKUKCgpw6dIlHD58GHfu3IGtrS3c3NwwduxYJCUlYdmyZRg5ciRevXrFSrwJEybA0dERf/75J9q2bQsAePr0KTZs2ICJEycCALy8vNC6dWtW4omap6cnLl26BFtbW3C5XOjp6aFv375QUlLCxo0bMWjQIHEPsdbc3d1x8OBB2Nvb849ZWFigadOmmDVrFiulWTY2NvDw8ICqqiqsra2rfEJW39diAMC8efMgJSWFuLg4tGrVin989OjRmD9/PrZt2ybG0RFSM5SAE0JqpVevXrh8+TKsra0xefJkzJs3D+fOncOzZ89qtGFPXTVnzhycOnUKDMNgwoQJ2LJlC8zMzPiPy8vLY+vWraz2dt6+fTu0tbWxZcsWfPjwAQCgra2NefPm8bcw79evH+zs7FiLKUpZWVnQ0tICUNKdJCkpCS1atIC5uXmDSBSBkk4qLVu2LHe8ZcuWrHRZAYAhQ4bwF3UOHTqUlWvWZbdv38atW7fK1dIbGxvjzZs3YhoVId+HEnBCSK3s37+fv+31b7/9Bg0NDXh7e8Pe3h4zZswQ8+hq79WrV9i1axeGDx9eaQcLDQ0NVjfPkZCQwNKlS7F06VJkZGQAKKlNLktXV5e1eNXFVsmLiYkJXr9+DX19fVhaWmLfvn3Q19fH3r170bhxY1ZiiJulpSXc3Nywc+dOgeNubm6srRlYuXJlhe9X5dSpU7C3t6+XCxezsrIgJydX7nhqaqrQussQIiy0CJMQUmu5ubkICQnBx48f+ck4UJKwDR48WIwjq70HDx6gU6dO/N7RpQoLC/H48WN069ZNTCMTPbYWYf79998oLCyEg4MD/P39YWdnh9TUVEhLS+Po0aMYPXo0SyOuObbu0cvLC4MGDYKuri46duwIAPDx8UF8fDyuX7+Orl27sjHcGmO7k40oDRw4EG3atMHatWuhqKiIkJAQ6OnpYcyYMSguLsa5c+fEPURCqo0ScEJIrdy8eRMTJkxASkpKucc4HI5YO1qwQUJCAgkJCfySiVIpKSnQ0tIS2v3Vxd7q8fHxaNKkCSQkJFi9bnZ2NsLCwqCrqwsNDQ1Wr11TAwcOxKFDh1iZiX///j12797NX1DbqlUrzJo1Syhb0VcXW08wxOHFixfo3bs3bGxs4OnpCXt7e7x8+RKpqanw9vaGkZGRuIdISLVRAk4IqRVjY2P069cPK1asgLa2triHwzoul4sPHz5AU1NT4Hh4eDhsbW35JSJsEkVv9ZrU59fXTVxq8r35usSnoarPCTgApKenw83NDcHBwcjMzISNjQ1+++23BlO6RH4cVANOCKmVDx8+YP78+Q0u+S5NUDkcDhwcHARqTIuKihASEsJvv8i2//3vf9i/fz/Gjh2Lo0ePYvHixQK91dmgrKzMynWqa/78+dU+18XFhZWYKioq1a5bF8YrGWlpafDz8ytXmgWA382GVF9cXBx0dHSwdOnSCh8Tx7oIQr4XJeCEkFr5+eefcf/+/Qb38m9pgsowDBQVFcHj8fiPSUtLo0OHDpg2bZpQYlfVW71Dhw6sbG4k6p0Rjxw5AjMzM0hKSoLD4VTaopLN3uZlF8bGxsbC2dkZDg4OAjXZ7u7u2LhxI2sxS125cgXjx49HZmYmlJSUBO6Lw+FQAv4dDAwMKi0HMzAwqPflbuTHQgk4IaRW3NzcMHLkSDx8+BDm5uaQkpISeNzJyUlMI6ud0gRVX18fCxcuFGnXiIbYWz09PR3nz5+HlpYWDA0N8fTpU6irqws1Zvfu3fnvr1mzBi4uLhg7diz/mL29PczNzbF//35MmjSJ1dgLFizAlClTsGHDhgo7d5Caq2zHy8zMTMjKyophRIR8P0rACSG1curUKdy+fRuysrK4f/9+uZm++pqAl6puezc2iaO3urAXfaqqqiImJgZaWlqIjY0tV5IhbD4+Pti7d2+547a2tpg6dSrr8d69ewcnJyeRJN9FRUXw9vaGhYUFVFRUqjxXT0+v3JPkuq60fInD4WD58uUCX9OioiL4+vrCyspKTKMj5PtQAk4IqZWlS5di9erVcHZ2BpfLFfdwWCHuHQZF3Vu97KLPS5culVv0yYYRI0agW7duaNKkCTgcDmxtbSvtphIdHc1KzLJ0dHRw4MABbNmyReD4wYMHoaOjw3q8/v3749mzZyJZ7CghIYF+/fohNDT0mwn4ixcvhD4etgUGBgIomQF//vw5pKWl+Y9JS0vD0tISCxcuFNfwCPkulIATQmolPz8fo0ePbjDJNyD+HQa5XC7y8/MREBCAjx8/gsfjoU+fPgBK2j6y3VtdFIs+9+/fj+HDhyMyMhJOTk6YNm0aFBUVWbl2dWzfvh0jRozAjRs30L59ewCAn58fIiIicP78eVZiXL58mf/+oEGDsGjRIrx69arC0qyyW9SzwczMDNHR0TAwMGD1unVBaS3/5MmTsWPHjh+mYw1p2KgNISGkVubNmwdNTU38+eef4h5KgyHq3upycnIIDQ2Fnp4etLS0cOfOHVhaWiIiIgIdOnSocBy1MXnyZOzcuVOkCThQ0sd8z549An25Z8yYwdoMeHWfhArje3jz5k388ccfWLt2Ldq0aVNuzQIlrYTULZSAE0JqxcnJCceOHYOlpSUsLCzKzfSx1VJO3PLz8ytsJyeM1mei7q1uaGiI8+fPw9raGra2tpg2bRp+/fVX3L59G2PGjGFtFpwIT9nkv2zJVOnCxYbQIaRXr15VPu7p6SmikRBSe1SCQgiplefPn8Pa2hpA+fpSNlvKiUt4eDgcHR3x+PFjgePCTGxE3VtdHIs+RSEkJARmZmbgcrkICQmp8lwLCwtWYx87dgyjR48W6B8PlDyRO336NOttCMu2XGyoLC0tBT4uKChAUFAQXrx4wXoXG0KEjWbACSGkCp07d4akpCScnZ3RuHHjck8qvk4K2DBlyhR07twZjo6OrF+7IsXFxSguLoakZMmczOnTp/H48WMYGxvj119/FVj0Vp9wuVwkJiZCS0sLXC630v7jwngiJSEhUWnPai0trQYxI11XrFq1CpmZmdi6dau4h0JItVECTgghVZCXl4e/vz9atmwpspjZ2dkYOXIkNDU1RdJbvXSHwa+fXDAMg/j4+Hq7w+CbN2+gq6sLDoeDN2/eVHmunp4eq7G5XC4+fPgATU1NgePBwcHo2bOnUMp60tLScOjQIYSGhgIAWrdujSlTpoh811NRi4yMRLt27ahUitQrVIJCCCFVMDU1RXJyskhjirq3emU7DKamptbrHQbLJtVsJ9iVKW1byeFw0Lt3b/6rCkBJz+qYmBjY2dmxHvfZs2fo378/eDwe2rVrB6Bk/cX69etx+/Zt2NjYsB6zrvDx8aGNeEi9Qwk4IYRUYfPmzVi8eDE2bNhQ4Wy0MLpLiLq3+o+yw2BUVBRcXV35M8SmpqaYO3cujIyMWItR2rYyKCgI/fv3h4KCAv8xaWlp6OvrY8SIEazFKzVv3jzY29vjwIED/KS/sLAQU6dOxe+//44HDx6wHlPUvl6PwDAMEhIS8OzZMyxfvlxMoyLk+1AJCiGEVKE0Aa6oPENYizDV1NTw9OlTVhPDipTuMLhjxw5Mmzatwh0GJSQk4O3tLdRxiMKtW7dgb28PKysrdO7cGQDg7e2N4OBgXLlyBX379mU1nru7O0aPHi2yJzA8Hg+BgYHlSqVevXoFW1tbZGdni2QcwjR58mSBj7lcLjQ1NdGrVy/069dPTKMi5PvQDDghhFRBHN0lJk2ahDNnzgi9t/qPtMOgs7Mz5s2bh02bNpU7vmTJEtYT8NKuHKJqX6mkpIS4uLhyCXh8fLzI+60Ly5EjR8Q9BEJYQzPghBBSx4i6t/qPsMOgrKwsnj9/DmNjY4Hj4eHhsLCwQG5uLqvxIiIiMGXKFJG1r3RycsKFCxewdetWdOrUCUDJDP+iRYswYsQIuLq6shqPEFI7NANOCCFfEWf/aED0vdXLziy+ffsWANCsWTPW44iTpqYmgoKCyiXgQUFB5RafssHBwQGSkpK4evVqhe0r2bZ161ZwOBxMnDgRhYWFAAApKSnMnDmz3Kx/faKqqlrtrx11QSH1Cc2AE0LIV8TZP1ociouLsW7dOmzbtg2ZmZkAAEVFRSxYsABLly4VyUJQYVuzZg22b98OZ2dngRnizZs3Y/78+awv4hNH+0qgpIVlVFQUAMDIyEigrr8+cnd3r/a5tBkPqU9oBpwQQr4SExPD798cExMj5tEI39KlS3Ho0CFs2rSJv0Dx0aNHWLVqFXJzc7F+/Xoxj7D2li9fDkVFRWzbtg1//PEHAKBJkyZYtWoV620dAfG0rwQAOTk5mJubizyusFBSTRoqmgEnhJAfXJMmTbB3717Y29sLHL906RJmzZqFd+/eiWlkwvH582cAEOriRE9PTyxbtkyo7Su/bstXlX///bfW8cQhIyOD/7XKyMio8tyGvIaBNDw0A04IIV+5fPlytc/9Ommtj1JTUysslWjZsmWDrKsVRVeQPn36AAB69+4tcJzNRZgNfYdLoKQGvHSTKBUVlQrrwYXZEpQQYaEEnBBCvlK6mcq3NJR/+paWlnBzc8POnTsFjru5ucHS0lJMo2LXhw8fsHDhQnh4eODjx4/lavrZ/j6Kon3lj9CWz9PTE2pqagDE0xKUEGGhEhRCCPnBeXl5YdCgQdDV1UXHjh0BlGzvHR8fj+vXr6Nr165iHmHtDRgwAHFxcZg9e3aFXUmGDBkippGxKykpCa9fvwYAmJiY8NcyEELqFkrACSHkBxcXFwdJSUns3r0bYWFhAIBWrVph1qxZKCwsZH3TGHFQVFTEw4cPYWVlJdK42dnZiIuLQ35+vsBxtttXZmVlYc6cOTh27Bh/0x8JCQlMnDgRu3btqrfdUL7VBrQsYbQEJURYKAEnhJBvyMrKgpeXV4WJlDA6aIiahIQEv862rJSUFGhpaTWIMhtTU1OcOHGC319d2JKSkjB58mTcuHGjwsfZ/pr++uuvuHv3Ltzc3AQ62Tg5OaFv377Ys2cPq/FEpWwb0G/1A28IP6fkx0E14IQQUoXAwEAMHDgQ2dnZyMrKgpqaGpKTkyEnJwctLa0GkYBXNg+TmZkJWVlZEY9GOFxdXeHs7Ix9+/ZBX19f6PF+//13pKWlwdfXFz169MCFCxfw4cMHfr91tp0/fx7nzp1Djx49+McGDhwIHo+HUaNG1dsEvGwb0MDAQCxcuBCLFi0SKJXatm0btmzZIq4hEvJdKAEnhJAqzJs3D4MHD8bevXuhrKyMJ0+eQEpKCr/88gvmzp0r7uHVyvz58wGULCZdsWKFQJlCUVERfH19RV6yISyjR49GdnY2f3Oar9sCst3txdPTE5cuXYKtrS24XC709PTQt29fKCkpYePGjRg0aBCr8bKzs6GtrV3uuJaWFrKzs1mNJUp6enr890eOHImdO3di4MCB/GMWFhbQ0dHB8uXLq714mpC6gBJwQgipQlBQEPbt2wculwsJCQnk5eXB0NAQW7ZswaRJk2rUi7muCQwMBFAyA/78+XNIS0vzH5OWloalpSUWLlworuGxytXVVaTxsrKy+CU9qqqqSEpKQosWLWBubo6AgADW43Xs2BErV67EsWPH+K9a5OTkYPXq1fzZ4vru+fPnMDAwKHfcwMAAr169EsOICPl+lIATQkgVpKSk+Fuxa2lpIS4uDq1atYKysjLi4+PFPLraKW3rNnnyZOzYsaNBb2Qi6h0VTUxM8Pr1a+jr68PS0pJf+rJ37140btyY9Xiurq6ws7NDs2bN+K0jg4ODISMjg9u3b7MeTxxatWqFjRs34uDBg/wni/n5+di4cSNatWol5tERUjO0CJMQQqrQr18/ODg4YNy4cZg2bRpCQkLg5OSE48eP49OnT/D19RX3EEkN5ebmlltMy/aTj7///huFhYVwcHCAv78/7OzskJqaCmlpaRw9ehSjR49mNR5QUoZy4sQJgU4248ePB4/HYz2WOPj5+WHw4MFgGIbf8SQkJAQcDgdXrlxBu3btxDxCQqqPEnBCCKnCs2fP8PnzZ/Ts2RMfP37ExIkT8fjxYxgbG+PQoUMNpka6ocvKysKSJUtw9uxZpKSklHtc2B00srOzERYWBl1dXWhoaLB+/Y0bN0JbWxtTpkwROH748GEkJSVhyZIlrMcUh6ysrHJPMsaNGwd5eXkxj4yQmqEEnBBCSIP322+/4d69e1i7di0mTJiA3bt34927d9i3bx82bdqE8ePHCy126b/Zb7XRqw19fX2cPHkSnTp1Ejju6+uLMWPGCHQTaegGDRqEgwcPCqXUhxC2cMU9AEIIqctiYmIQERFR7nhERARiY2NFPyDyXa5cuYL//e9/GDFiBCQlJdG1a1csW7YMGzZswIkTJ4QS89ixYzA3NwePxwOPx4OFhQWOHz8ulFiJiYkVJpyamppISEgQSsy66sGDB8jJyRH3MAipEiXghBBSBQcHBzx+/LjccV9fXzg4OIh+QOS7pKamwtDQEEBJvXdp28EuXbrgwYMHrMdzcXHBzJkzMXDgQJw9exZnz56FnZ0dZsyYge3bt7MeT0dHB97e3uWOe3t7o0mTJqzHI4TUDnVBIYSQKgQGBvJ3FiyrQ4cOmD17thhGRL6HoaEhYmJioKuri5YtW+Ls2bNo164drly5AhUVFdbj7dq1C3v27MHEiRP5x+zt7dG6dWusWrUK8+bNYzXetGnT8Pvvv6OgoAC9evUCAHh4eGDx4sVYsGABq7EIIbVHCTghhFSBw+Hg8+fP5Y6np6fT1tf1yOTJkxEcHIzu3bvD2dkZgwcPhpubGwoKCuDi4sJ6vISEhHL12ADQqVMnoZSELFq0CCkpKZg1axa/w4usrCyWLFmCP/74g/V4hJDaoUWYhBBShcGDB4PH4+HUqVOQkJAAUNIxY/To0cjKysKNGzfEPELyPd68eQN/f380b96c39KOTWZmZhg3bhz+/PNPgePr1q3DmTNn8Pz5c9ZjAkBmZiZCQ0PB4/FgbGwMGRkZocSpyxQVFREcHMwvOSKkLqIEnBBCqvDq1St069YNKioq6Nq1KwDg4cOHyMjIgKenJ8zMzMQ8QlId8fHx0NHREVm88+fPY/To0ejTpw+/hMnb2xseHh44e/Yshg0bJrKx/GgoASf1AS3CJISQKpiamiIkJASjRo3Cx48f8fnzZ0ycOBFhYWGUfNcj+vr66N69Ow4cOIBPnz4JPd6IESPg5+cHDQ0NXLx4ERcvXoSGhgb8/Pwo+a4BGxsb/vdrzZo1yM7O/ubn/Pnnn1BTUxP20AipFZoBJ4QQ0uAFBgbi5MmTOH36NJKSkmBnZ4dffvkFgwcPZr1Mo6CgAL/++iuWL18OAwMDVq/9o+HxeIiIiECzZs0gISGBhIQEaGlpiXtYhNQaJeCEEPKVkJCQap8rjPphIjwMw+D+/fs4efIkzp8/j+LiYgwfPhyHDx9mNY6ysjKCgoIoAa+ljh07QkFBAV26dMHq1auxcOFCKCgoVHjuihUrRDw6Qr4fJeCEEPIVLpcLDoeDb/155HA41AmlHgsICICjoyNCQkJY/z5OmjQJVlZWrLcb/NG8fv0aK1euRFRUFAICAmBqagpJyfIN3DgcDgICAsQwQkK+D7UhJISQr/xI23b/aN6+fYuTJ0/i5MmTePHiBTp27Ijdu3ezHsfY2Bhr1qyBt7c32rRpA3l5eYHHnZycWI/ZEJmYmOD06dMASp4Ye3h4UAkKaRBoBpwQQqrh1atXiIuL4/dYBkpm3QYPHizGUZHq2rdvH06ePAlvb2+0bNkS48ePx7hx46CnpyeUeFWVnnA4HERHRwslLiGkfqAEnBBCqhAdHY1hw4bh+fPnAmUpHA4HAKgEpZ7Q0dHB2LFjMX78eFhaWoo09tc/M+T7RUVFwdXVFaGhoQBKuhTNnTsXRkZGYh4ZITVDbQgJIaQKc+fOhYGBAT5+/Ag5OTm8ePECDx48gK2tLe7fvy/u4ZFqiouLw5YtW0SafB86dAhmZmaQlZWFrKwszMzMcPDgQZHFb2hu3boFU1NT+Pn5wcLCAhYWFvD19UXr1q1x584dcQ+PkBqhGXBCCKmChoYGPD09YWFhAWVlZfj5+cHExASenp5YsGABAgMDxT1EUgPZ2dnlSokA9rvZrFixAi4uLpgzZw46duwIAPDx8YGbmxvmzZuHNWvWsBrvR2BtbY3+/ftj06ZNAsednZ1x+/ZtWoRJ6hVKwAkhpAqqqqoICAiAgYEBjIyMcPDgQfTs2RNRUVEwNzev1sYgRPySkpLg4OCAmzdvVvg426VEmpqa2LlzJ8aOHStw/NSpU5gzZw6Sk5NZjfcjkJWVxfPnz2FsbCxwPDw8HBYWFsjNzRXTyAipOSpBIYSQKpiZmSE4OBgA0L59e2zZsgXe3t5Ys2YNbXVdj/z+++9IT0+Hr68veDwebt68CXd3dxgbG+Py5cusxysoKICtrW25423atEFhYSHr8X4EmpqaCAoKKnc8KCiIOqOQeofaEBJCSBWWLVuGrKwsACVbYf/000/o2rUr1NXVcebMGTGPjlSXp6cnLl26BFtbW3C5XOjp6aFv375QUlLCxo0bMWjQIFbjTZgwAXv27IGLi4vA8f3792P8+PGsxvpRTJs2DdOnT0d0dDQ6deoEAPD29sbmzZsxf/58MY+OkJqhEhRCCKmh1NRUqKqqUleLekRJSQkhISHQ19eHnp4eTp48ic6dOyMmJgatW7dmvZRozpw5OHbsGHR0dNChQwcAgK+vL+Li4jBx4kRISUnxz/06SScVYxgGrq6u2LZtG96/fw8AaNKkCRYtWgQnJyf6fST1CiXghBBCGry2bdti3bp16N+/P+zt7aGiooKNGzdi586dOHfuHKKioliN17Nnz2qdx+Fw4OnpyWrsH8Hnz58BAIqKiuUe8/b2hq2tLWRkZEQ9LEKqjRJwQgghDd7ff/+NwsJCODg4wN/fH3Z2dkhNTYW0tDSOHj2K0aNHi3uIhCVKSkoICgqiNRqkTqMEnBBCyA8nOzsbYWFh0NXVhYaGhriHQ1ikqKiI4OBgSsBJnUaLMAkhhPxw5OTkYGNjI+5hEEJ+UJSAE0IIaZBq0hmDFkISQkSJEnBCCCENUnV3KaXuGYQQUaMEnBBCSIO0Y8cOtG7dGhISEuIeChEhekJF6gPaCZMQQkiDZG1tjdTUVACAoaEhUlJSxDwiIgrUW4LUBzQDTgghpEFSUVFBdHQ0NDU1ERsbi+LiYnEPiYhAaY9wQuoymgEnhBDSII0YMQLdu3eHgYEBOBwObG1tYWhoWOEbqbv8/PxQVFTE//jq1avo3r07mjZtCltbWxw7dkyMoyPk+9AMOCGEkAZp//79GD58OCIjI+Hk5IRp06ZVuHMiqds6duyIhIQEaGlp4cqVKxg6dCh++eUXjB49GoGBgXB0dISioiKGDRsm7qESUm20EQ8hhJAGb/Lkydi5cycl4PUQl8tFYmIitLS00LVrV3Tp0gUbN27kP75hwwZcuXIFPj4+YhwlITVDCTghhBBC6qyyCbi2tjauX7+ONm3a8B9//fo1OnTogE+fPolxlITUDJWgEEIIafCysrKwadMmeHh44OPHj+UWZEZHR4tpZKQ6Xr16hcTERPB4vAoX0xYWFophVIR8P0rACSGENHhTp06Fl5cXJkyYgMaNG1Ov6Hqmd+/e/PaC3t7eaNu2Lf+xwMBA6OrqimtohHwXSsAJIYQ0eDdu3MC1a9fQuXNncQ+F1FBMTIzAxwoKCgIf5+fnY8mSJaIcEiG1RjXghBBCGjwDAwNcv34drVq1EvdQCCGE+oATQghp+NauXYsVK1YgOztb3EMhLCssLERcXJy4h0FIjdAMOCGEkAbP2toaUVFRYBgG+vr6kJKSEng8ICBATCMjtRUcHAwbGxuBzXoIqeuoBpwQQkiDN3ToUHEPgRBC+GgGnBBCCCF1lo2NTZWP5+TkIDw8nGbASb1CM+CEEEJ+GP7+/ggNDQUAtG7dGtbW1mIeEfmWV69eYcyYMTAwMKjw8YSEBISHh4t4VITUDiXghBBCGryPHz9izJgxuH//PlRUVAAAaWlp6NmzJ06fPg1NTU3xDpBUyszMDO3bt8fMmTMrfDwoKAgHDhwQ8agIqR3qgkIIIaTBmzNnDj5//oyXL18iNTUVqampePHiBTIyMuDk5CTu4ZEqdO7cGa9fv670cUVFRXTr1k2EIyKk9qgGnBBCSIOnrKyMu3fvCuygCAB+fn7o168f0tLSxDMwQsgPiWbACSGENHjFxcXlWg8CgJSUFIqLi8UwIkLIj4wScEIIIQ1er169MHfuXLx//55/7N27d5g3bx569+4txpGR6mAYBjExMSgsLARQsv38mTNncOzYMSQnJ4t5dITUHJWgEEIIafDi4+Nhb2+Ply9fQkdHBwAQFxcHc3NzXL58Gc2aNRPzCEllXr9+jf79+yM+Ph6Ghoa4ffs2Ro4cibCwMDAMAzk5OTx+/BjGxsbiHioh1UYJOCGEkB8CwzDw8PDgtyFs1aoV+vTpI+ZRkW8ZOnQoGIbBunXrcPjwYdy6dQstWrTAP//8g+LiYowcORLKyso4fvy4uIdKSLVRAk4IIeSH4OHhAQ8PD3z8+LFc3ffhw4fFNCryLVpaWrh9+zasrKyQlZUFRUVFPHjwAF26dAEAPH78GGPHjsWbN2/EPFJCqo/6gBNCCGnwVq9ejTVr1sDW1haNGzcGh8MR95BINWVmZkJNTQ0AIC8vD3l5eTRu3Jj/uI6ODj58+CCu4RHyXSgBJ4QQ0uDt3bsXR48exYQJE8Q9FFJDTZo0QVxcHHR1dQEAW7ZsgZaWFv/xpKQkqKqqimt4hHwX6oJCCCGkwcvPz0enTp3EPQzyHfr06YOwsDD+xzNnzoSioiL/49u3b8PGxkYcQyPku1ENOCGEkAZvyZIlUFBQwPLly8U9FMKymJgYyMrKCpSlEFLXUQkKIYSQBi83Nxf79+/H3bt3YWFhUW5THhcXFzGNjNSWgYGBuIdASI3RDDghhJAGr2fPnpU+xuFw4OnpKcLRkOrauXNntc91cnIS4kgIYRcl4IQQQgipk76e3U5KSkJ2djZUVFQAAGlpaZCTk4OWlhaio6PFMEJCvg8twiSEEEJInRQTE8N/W79+PaysrBAaGorU1FSkpqYiNDQUNjY2WLt2rbiHSkiN0Aw4IYQQQuo8IyMjnDt3DtbW1gLH/f398fPPPyMmJkZMIyOk5mgGnBBCCCF1XkJCAgoLC8sdLyoqoo14SL1DCTghhBBC6rzevXvj119/RUBAAP+Yv78/Zs6ciT59+ohxZITUHCXghBBCCKnzDh8+jEaNGsHW1hYyMjKQkZFBu3btoK2tjYMHD4p7eITUCNWAE0IIIaTeCA8PR2hoKDgcDlq2bIkWLVqIe0iE1Bgl4IQQQgipV0pTFw6HI+aREPJ9qASFEEIIIfXCsWPHYG5uDh6PBx6PBwsLCxw/flzcwyKkxmgrekIIIYTUeS4uLli+fDlmz56Nzp07AwAePXqEGTNmIDk5GfPmzRPzCAmpPipBIYQQQkidZ2BggNWrV2PixIkCx93d3bFq1SrqA07qFSpBIYQQQkidl5CQgE6dOpU73qlTJyQkJIhhRIR8P0rACSGEEFLnNW/eHGfPni13/MyZMzA2NhbDiAj5flQDTgghhJA6b/Xq1Rg9ejQePHjArwH39vaGh4dHhYk5IXUZ1YATQgghpF7w9/fH9u3bERoaCgBo1aoVFixYAGtrazGPjJCaoQScEEIIIXWWp6cnunfvDgkJCXEPhRDWUAJOCCGEkDrL0NAQaWlpsLOzw5AhQzBgwAAoKSmJe1iE1AotwiSEEEJInRUdHY379+/D1NQU27Ztg7a2Nvr27Ytdu3YhLi5O3MMj5LvQDDghhBBC6o3379/j8uXLuHz5Mu7duwcTExPY29vD3t4etra24h4eIdVCCTghhBBC6qWsrCzcvHkTly5dwvXr1zF//nz8+eef4h4WId9ECTghhBBC6r2ioiKkpqZCU1NT3EMh5JsoASeEEEJInZacnIzDhw/Dx8cHiYmJAIBGjRqhY8eOmDx5MiXdpN6hBJwQQgghddbTp0/Rv39/yMnJoU+fPtDW1gYAfPjwAR4eHsjOzsatW7eo/pvUK5SAE0IIIaTO6tChAywtLbF3715wOByBxxiGwYwZMxASEgIfHx8xjZCQmqMEnBBCCCF1Fo/HQ2BgIFq2bFnh42FhYbC2tkZOTo6IR0bI96M+4IQQQgipsxo1agQ/P79KH/fz8+OXpRBSX0iKewCEEEIIIZVZuHAhpk+fDn9/f/Tu3btcDfiBAwewdetWMY+SkJqhEhRCCCGE1GlnzpzB9u3b4e/vj6KiIgCAhIQE2rRpg/nz52PUqFFiHiEhNUMJOCGEEELqhYKCAiQnJwMANDQ0ICUlJeYREfJ9KAEnhBBCSL3EMEy5ziiE1Ae0CJMQQgghdVZeXh4WLlyIbt26YfPmzQCAdevWQUFBAYqKihg3bhwyMjLEPEpCaoZmwAkhhBBSZ82fPx9nzpzB2LFjcf36dfTs2RNXr17Fhg0bwOVysWLFCgwYMAA7d+4U91AJqTZKwAkhhBBSZ+nq6uLw4cPo06cPoqOjYWxsjH///RdDhgwBANy5cwfTpk1DbGyseAdKSA1QCQohhBBC6qzk5GS0aNECAGBoaAgJCQk0b96c/7ixsTGSkpLENTxCvgsl4IQQQgips3R1dfnbzD99+hQcDkdgYx5fX180bdpUXMMj5LvQRjyEEEIIqbNmzJgBBwcHHDx4EP7+/ti6dSv+/PNPhIWFgcvlYs+ePViwYIG4h0lIjVANOCGEEELqtJMnT8LHxwedOnXC2LFjcf/+faxYsQLZ2dkYPHgwli9fDi6XXtQn9Qcl4IQQQgghhIgQPV0khBBCCCFEhCgBJ4QQQkiddv36dUydOhWLFy9GWFiYwGOfPn1Cr169xDQyQr4PJeCEEEIIqbNOnjwJe3t7JCYmwsfHB9bW1jhx4gT/8fz8fHh5eYlxhITUHHVBIYQQQkid9ddff8HFxQVOTk4AgLNnz2LKlCnIzc2Fo6OjmEdHyPehBJwQQgghdVZERAQGDx7M/3jUqFHQ1NSEvb09CgoKMGzYMDGOjpDvQwk4IYQQQuosJSUlfPjwAQYGBvxjPXv2xNWrV/HTTz/h7du3YhwdId+HasAJIYQQUme1a9cON27cKHe8e/fuuHLlClxdXUU/KEJqiRJwQgghhNRZ8+bNg6ysbIWP9ejRA1euXMHEiRNFPCpCaoc24iGEEEIIIUSEqAacEEIIIXVSRkZGtc9VUlIS4kgIYRfNgBNCCCGkTuJyueBwONU6t6ioSMijIYQ9NANOCCGEkDrp3r17/PdjY2Ph7OwMBwcHdOzYEQDg4+MDd3d3bNy4UVxDJOS70Aw4IYQQQuq83r17Y+rUqRg7dqzA8ZMnT2L//v24f/++eAZGyHegBJwQQgghdZ6cnByCg4NhbGwscDw8PBxWVlbIzs4W08gIqTlqQ0gIIYSQOk9HRwcHDhwod/zgwYPQ0dERw4gI+X40A04IIYSQOu/69esYMWIEmjdvjvbt2wMA/Pz8EBERgfPnz2PgwIFiHiEh1UcJOCGEEELqhfj4eOzduxehoaEAgFatWmHGjBk0A07qHeqCQgghhJB6QVFREWpqalBTUwMAqKurU/9vUi/RDDghhBBC6rxnz56hf//+4PF4aNeuHQDg6dOnyMnJwe3bt2FjYyPmERJSfZSAE0IIIaTO69q1K5o3b44DBw5AUrLkBfzCwkJMnToV0dHRePDggZhHSEj1UQJOCCGEkDqPx+MhMDAQLVu2FDj+6tUr2NraUhtCUq9QG0JCCCGE1HlKSkqIi4srdzw+Ph6KiopiGBEh348ScEIIIYTUeaNHj4ajoyPOnDmD+Ph4xMfH4/Tp0xXujklIXUddUAghhBBS523duhUcDgcTJ05EYWEhAEBKSgozZ87Epk2bxDw6QmqGasAJIYQQUm9kZ2cjKioKAGBkZAQ5OTkxj4iQmqMEnBBCCCGEEBGiGnBCCCGEEEJEiBJwQgghhBBCRIgScEIIIYQQQkSIEnBCCCGEEEJEiBJwQgghhBBCRIgScEIIIYQQQkSIEnBCCCGEEEJEiBJwQgghhBBCROj/exlbecVmQEMAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot correlation matrix\n", "corr_matrix = df.corr()\n", "sns.heatmap(corr_matrix, annot=True, cmap='coolwarm')\n", "plt.title('Correlation Matrix')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 472 }, "id": "kXfau5I-9iPC", "outputId": "2f48308b-4b50-495b-c58f-d69da3ce7760" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot bar plot for categorical variable (target)\n", "sns.countplot(x='target', data=df)\n", "plt.title('Target Class Distribution')\n", "plt.show()\n", "\n", "# Convert categorical variables with more than 2 levels to dummies\n", "# Since the target variable is the only categorical variable here, no need for dummies.\n", "# We'll proceed with logistic regression for multi-class classification." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 136 }, "id": "VimyyuvI9W1a", "outputId": "75a2ea11-ba0d-4867-e90b-2a2adf7113dd" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/lib/python3.10/dist-packages/sklearn/linear_model/_logistic.py:1256: FutureWarning: 'multi_class' was deprecated in version 1.5 and will be removed in 1.7. Use OneVsRestClassifier(LogisticRegression(..)) instead. Leave it to its default value to avoid this warning.\n", " warnings.warn(\n" ] }, { "data": { "text/html": [ "
LogisticRegression(max_iter=10000, multi_class='ovr')
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" ], "text/plain": [ "LogisticRegression(max_iter=10000, multi_class='ovr')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Split the data into training and test sets\n", "X = df.drop('target', axis=1)\n", "y = df['target']\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=42, stratify=y)\n", "\n", "# Build logistic regression model\n", "model = LogisticRegression(multi_class='ovr', max_iter=10000)\n", "model.fit(X_train, y_train)\n", "\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "5-77K-1N9aJw", "outputId": "3721af65-db83-4792-da9c-34a873719bb0" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Model Coefficients:\n", "alcohol: [ 1.12913108 -1.09737379 0.15401059]\n", "malic_acid: [ 0.66052278 -1.14786941 0.79922197]\n", "ash: [ 0.92152516 -0.9832176 0.13305817]\n", "alcalinity_of_ash: [-0.37089876 0.14668437 0.2841024 ]\n", "magnesium: [-0.01122454 -0.0143975 0.02881376]\n", "total_phenols: [ 0.44552675 0.02702297 -0.62361513]\n", "flavanoids: [ 1.26840079 0.55795856 -1.72896976]\n", "nonflavanoid_phenols: [ 0.16330354 0.00247395 -0.03862979]\n", "proanthocyanins: [-0.27776279 0.8038369 -0.83813179]\n", "color_intensity: [-0.03372016 -1.56178528 1.06414362]\n", "hue: [ 0.02896816 0.29839474 -0.3429944 ]\n", "od280/od315_of_diluted_wines: [ 0.73213651 -0.15624593 -0.72957849]\n", "proline: [ 0.01281663 -0.01103021 -0.00027996]\n", "\n", "Confusion Matrix:\n", "[[18 0 0]\n", " [ 0 21 0]\n", " [ 0 1 14]]\n" ] } ], "source": [ "# Model summary (coefficients)\n", "print(\"\\nModel Coefficients:\")\n", "for name, coef in zip(X.columns, model.coef_.T):\n", " print(f\"{name}: {coef}\")\n", "\n", "# Predict on test data\n", "y_pred = model.predict(X_test)\n", "\n", "# Confusion matrix\n", "conf_matrix = confusion_matrix(y_test, y_pred)\n", "print(\"\\nConfusion Matrix:\")\n", "print(conf_matrix)\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "id": "zeyPbvR6ExTG" }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 7, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 680 }, "id": "Or_DWkbID_fs", "outputId": "55d39215-b957-4dec-c5a5-d16a9015fe34" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Classification Report:\n", " precision recall f1-score support\n", "\n", " 0 1.00 1.00 1.00 18\n", " 1 0.95 1.00 0.98 21\n", " 2 1.00 0.93 0.97 15\n", "\n", " accuracy 0.98 54\n", " macro avg 0.98 0.98 0.98 54\n", "weighted avg 0.98 0.98 0.98 54\n", "\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Classification report (includes precision, recall, and F1 score)\n", "print(\"\\nClassification Report:\")\n", "print(classification_report(y_test, y_pred))\n", "\n", "# Visualize confusion matrix\n", "sns.heatmap(conf_matrix, annot=True, cmap='Blues', fmt='g')\n", "plt.title('Confusion Matrix')\n", "plt.ylabel('True Label')\n", "plt.xlabel('Predicted Label')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "GwnPA5ZgqKKd" }, "source": [ "![image.png](data:image/png;base64,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)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "16BweJeBEBk0", "outputId": "3bcaf8f5-a73d-4c66-cd09-100ab64611e3" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Precision for class 0: 1.0\n", "Recall for class 0: 1.0\n" ] } ], "source": [ "# prompt: Compute precision and recall for class = 0\n", "\n", "from sklearn.metrics import precision_score, recall_score\n", "\n", "# Assuming y_test and y_pred are already defined from your previous code\n", "\n", "# Calculate precision and recall for class 0\n", "precision_class_0 = precision_score(y_test, y_pred, average=None)[0]\n", "recall_class_0 = recall_score(y_test, y_pred, average=None)[0]\n", "\n", "print(f\"Precision for class 0: {precision_class_0}\")\n", "print(f\"Recall for class 0: {recall_class_0}\")\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "dTgfHz-1ErL6", "outputId": "02988699-1cce-4bfe-f6ce-d64133b8af9b" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Precision for class 1: 0.9545454545454546\n", "Recall for class 1: 1.0\n" ] } ], "source": [ "# prompt: Compute precision and recall for class = 1\n", "\n", "# Calculate precision and recall for class 1\n", "precision_class_1 = precision_score(y_test, y_pred, average=None)[1]\n", "recall_class_1 = recall_score(y_test, y_pred, average=None)[1]\n", "\n", "print(f\"Precision for class 1: {precision_class_1}\")\n", "print(f\"Recall for class 1: {recall_class_1}\")\n" ] } ], "metadata": { "colab": { "provenance": [] }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.5" } }, "nbformat": 4, "nbformat_minor": 4 }