{"cells":[{"cell_type":"markdown","metadata":{"id":"B4FSjpK4IFSF"},"source":["## Assignment 1"]},{"cell_type":"markdown","metadata":{"id":"I7GMYLoQIFSH"},"source":["### Your Full Name: Lim Ravy"]},{"cell_type":"markdown","metadata":{"id":"TI-m5h0EIFSH"},"source":["### 1. Load Dataset"]},{"cell_type":"markdown","metadata":{"id":"tiJgVTNvIFSH"},"source":["Tasks:\n","1. Load the dataset (data.txt) into a feature matrix $X$, and a target vector $y$\n","\n","2. Split the dataset into train and test ($X_{train}$, $y_{train}$, $X_{test}$, $y_{test}$ ) using a 80-20 rule, using a random seed number of 0.\n","\n","Useful funtions (optional):\n","\n","1. numpy.loadtxt\n","\n","2. sklearn.model_selection.train_test_split"]},{"cell_type":"code","execution_count":41,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"PJqjCMSfIFSI","executionInfo":{"status":"ok","timestamp":1741247586637,"user_tz":-420,"elapsed":6,"user":{"displayName":"Mr Ravy","userId":"17903450120846136725"}},"outputId":"ab8ab708-1072-4f61-f73b-d037b0397ad6"},"outputs":[{"output_type":"stream","name":"stdout","text":["Data loaded and split successfully.\n","X_train shape: (800, 3)\n","X_test shape: (200, 3)\n","y_train shape: (800,)\n","y_test shape: (200,)\n"]}],"source":["import numpy as np\n","import statsmodels.api as sm\n","import matplotlib.pyplot as plt\n","from sklearn.model_selection import train_test_split\n","\n","filepath=\"/content/data.txt\"\n","test_size= 0.2\n","random_state=0\n","\n","data = np.loadtxt(filepath,delimiter=',')\n","\n","# Separate features (X) and target (y)\n","X = data[:, :-1] # All columns except the last one are features\n","y = data[:, -1] # The last column is the target\n","\n","# Split the data into training and testing sets\n","X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=test_size, random_state=random_state)\n","\n","print(\"Data loaded and split successfully.\")\n","print(f\"X_train shape: {X_train.shape}\")\n","print(f\"X_test shape: {X_test.shape}\")\n","print(f\"y_train shape: {y_train.shape}\")\n","print(f\"y_test shape: {y_test.shape}\")"]},{"cell_type":"markdown","metadata":{"id":"JP-5KZc5IFSJ"},"source":["### 2. Visualization"]},{"cell_type":"markdown","metadata":{"id":"5Qsoozi6IFSJ"},"source":["Tasks:\n","\n","1. Create scatter plots between each input, and the target vector $y$\n","\n","2. Comment on the relationship between each input and the target vector $y$"]},{"cell_type":"code","execution_count":42,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":0},"id":"JaLi8M4yIFSJ","executionInfo":{"status":"ok","timestamp":1741247587397,"user_tz":-420,"elapsed":759,"user":{"displayName":"Mr Ravy","userId":"17903450120846136725"}},"outputId":"337011dd-5d18-4ac1-e73b-b63bbdca6f69"},"outputs":[{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}},{"output_type":"stream","name":"stdout","text":["Correlation between Input 1 and Target: 0.9763\n","Strong relationship detected.\n","------------------------------\n"]},{"output_type":"display_data","data":{"text/plain":["
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gZwxYwZyc3Px4YcforS01MFNAADKysoc/jabzRg0aBAAoKGhAQDQ1NSEn376yTYxU4ufn5/L/bN+/XqcP3+e6fedOnVCUlIS/vWvfzmM6507d+LIkSMO2/7hD39Ac3Mz0tPTXfZz9epVh2sQEhKiuUobQbQ2yOJKEK2Axx9/HLW1tbjzzjvRr18/NDY24vvvv8e6devQvXt33H///QBa/O3++te/Ij09HbfccgumT5+OgIAA7Nu3D506dcKrr76Km266CVFRUZg1axb+/Oc/w2Qy4d///regMB46dCjWrVuHp556CsOGDUNoaChuv/129OzZE5GRkXj77bcRFhaGkJAQ/Pa3v0VCQgLef/99TJ48GQMGDMD999+Pzp074/z589i+fTvCw8Px1Vdfubv78Prrr2Py5MkYOXIkHnzwQVs6rIiICIdSqEOHDgXQkgrs7rvvhsViwe23346QkBBd0mGxEhgYiC1btmDWrFn47W9/i2+++QaZmZl44YUXbEvNERER+P3vf49//vOfMJlM6NmzJ77++mtBH0r+vP785z9j4sSJ8PPzs6Wlcuby5cuYOHEiKioq8MwzzyAzM9Ph+549e2LkyJGy5/CHP/wBf/nLX/CXv/wF0dHRLhb4P/3pTygvL0dKSgq6dOmCs2fP4p///CeSk5PRv39/AMD58+fRv39/zJo1S1Np1Ntuuw1LlizB/fffj5tuuglHjhzBp59+6uJHLMXf//53TJs2DaNGjcL999+PiooKrFy5EklJSQ5idsyYMXjkkUfw6quvIi8vDxMmTIDFYsHJkyexfv16vPHGG7ZctkOHDsVbb72FV155Bb169UKHDh1seYkJos3iuYQGBEHoxTfffMM98MADXL9+/bjQ0FDO39+f69WrF/f4449zFy9edNn+ww8/5AYPHswFBARwUVFR3JgxY7ht27bZvs/JyeFGjBjBBQUFcZ06dbKl14JTeqUrV65wM2fO5CIjI13S/mzcuJFLTEzk2rVr55J+6eDBg9z06dO59u3bcwEBAVx8fDz3hz/8gfv2229t2/Dppfj0TnLwqYrWr18vuZ1QOiiO47isrCxu1KhRXFBQEBceHs7dfvvtXEFBgcvv09PTuc6dO3Nms9khNZYe6bBef/11l20BcC+//LLt71mzZnEhISFcYWEhN2HCBC44OJjr2LEj9/LLL7ukdPr111+5u+66iwsODuaioqK4Rx55hMvPz3c5/6tXr3KPP/44d8MNN3Amk0kyNRbfVrH/7NNMyTFq1CgOAPenP/3J5bvPP/+cmzBhAtehQwfO39+f69atG/fII49wxcXFLm1RckyOE06H9fTTT3NxcXFcUFAQN2rUKG7Pnj3cmDFjHNJRyY2xtWvXcv369eMCAgK4pKQkbtOmTdxdd93F9evXz2Xbd999lxs6dCgXFBTEhYWFcQMHDuSeffZZ7sKFC7ZtSkpKuLS0NC4sLIwDQKmxCILjOBPHqfD6JwiCIDzC7Nmz8fnnnwu6WhDeR3JyMm644Qa3pPUiiLYA+bgSBEEQhEaamppw9epVh8927NiBQ4cOUalWgtAR8nElCIIgCI2cP38eqampuPfee9GpUyf89NNPePvttxEbG6u4iAZBEOKQcCUIgiAIjURFRWHo0KF4//338euvvyIkJARpaWlYunSpYBEDgiDUQT6uBEEQBEEQhE9APq4EQRAEQRCET0DClSAIgiAIgvAJWr2Pq9VqxYULFxAWFkbl8wiCIAiCILwQjuNw+fJldOrUCWazuF211QvXCxcuoGvXrp5uBkEQBEEQBCHDzz//jC5duoh+3+qFa1hYGICWjggPD/dwa5TR1NSE//73v7aSgIQyqP/UQ32nDeo/9VDfaYP6Tz3Ud+rRo++qq6vRtWtXm24To9ULV949IDw83CeFa3BwMMLDw+kmUgH1n3qo77RB/ace6jttUP+ph/pOPXr2nZxbJwVnEQRBEARBED4BCVeCIAiCIAjCJyDhShAEQRAEQfgEJFwJgiAIgiAIn4CEK0EQBEEQBOETkHAlCIIgCIIgfAISrgRBEARBEIRPQMKVIAiCIAiC8AlIuBIEQRAEQRA+AQlXgiAIgiAIwicg4UoQBEEQBEH4BCRcCYIgCIIgCJ+AhCtBEARBEAThE7TzdAMIgiB8iWYrh71F5bh0uR4dwgIxND4K+89W2P4enhDt6SYSBEG0Wki4EgRBMLIlvxiLvypAcVW97TOzCbBy17eJiwjES2l9PdA6giCI1g+5ChAEQTCwJb8Yj35ywEG0Ao6iFQBKquoxf12e+xpGEATRhiDhShAEIUOzlcPirwrAyW/qsE2zs6olCIIgNEGuAgRBEDLsLSp3sbRKwcvV/WcrMKpPR9XHdfanHZ4QDT+zSfX+CHao7wnCOyHhShAEIcOly+yi1Z7SKw2qjynkTxsXEYiXb0/EpKQ41fsl5KG+JwjvhVwFCIIgZOgQFqjqdzGhAap+J+ZPW1JVj0c/OYAt+cVM+2m2cthTWIaNeeexp7CMXBcY0KvvCYIwBrK4EgRByDA8IRpxEYEoqapn8nPlF5SHxkcpPpaUPy13bd+LvyrA+MRYyaVrshoqR6++JwjCOMjiShBtGLLIseFnNuHl2xMBXBelYth/r0bcyPnTcgCKq+qxt6hcdBuyGqpDj74nCMJYyOJKED6O2iASKYvcuL4xRjbZJ5mUFIe37h0im8c19loe18ai/aqOw+pPK7YdWQ3Vo7XvCYIwHhKuBOHDqF0O5i1yzuKmpKoecz45gKfG9UA8WixQI3p1IIFzjUlJcRifGCtbOcvafBWbi9Qdg9WfVmw7JVbDkT3bq2liq0Vr3xMEYTwkXAnCR5ESn49+cgBv3TtEULzKWeQAYNWOQrw2HHjg432IDg0iv0g7/MwmF8Hn/Le1Wf3+5fxpTWix6oqVltXDYttW00Bp7XuCIIyHfFwJwgdhEZ+LvyoQ9FlVmpOU/CLdi5Q/Lf/3y7cniopJLVbDLfnFuHlZNu55LxdPrM3DPe/l4uZl2W3m2mvte4IgjIeEK0H4IFqCSJT658kJYUJ/eH/a2AhHcRkbEShqSefhrYZi0sqEFncSZ6shBXS1oKXvCYIwHnIVIAgfRMtysBr/PPKLdD9C/rQsy/a81fDRTw7ABMcStGJWQwrockRt3xMEYTwkXAnCB9GyHKw0J6k9FE3tXoT8aVkQy4AQKxK4RwFdrqjte4IgjIWEK0H4IFqCSKQscnJ4YzR1Ww4mkkKJ1VCJBd+5v4WyKlD/EwRhFCRcCcIHUbMcbI+YRU4Mb42mpupQ0rBaDVknJGdKa3HzsmzJPLZC/U+TC4Ig9IKEK0H4KEqXg4V+b2+RO1NaixVZJ1y289ZoarXpwAhXWCz4EcEWrMg64fK9c7yec//T5IIgCD0h4UoQbkRvy5PWIBJni1zf2FAs/qoA5VfqbJ+xCmFWmq0ccgvLsOd0KYCW44/o0V5RP1Awkb7IWfD5v1ncSuz732rlMDfjIE0uVEBWaoIQhoQrQbgJoyxPegaR8EI499QllB7LxYezhulaOWtLfjGe23AElbVNts9Wbj+FyGALlk4fyNwPFEykP1IW/LuHdcXyrJPM++L7/8WN+TS5UAFZqQlCHMrjShBuwJdyZPqZTTZfVj2tPFvyizHnkwMOopWnsrYJcxT0A9WUN4ZJSXHYvSAFax4agTfuTsaah0Zg94IUdI8JUbW/8hrXa80jlWu4LeNLzwqC8AQkXAnCYLRUuWotNFs5LNp0VHY71n6gmvLGwVvwpyV3xsieLS4cRvYjTS6uQ88KgpCHhCtBGIyWKlethb1F5SipbpDdrriqHrmny2S344OJpBCqDkWoQ64alzMmAO1D/Jm2pcnFdehZQRDykHAlCIOhZW1l5zb3U/nlUD+zCVNvlPb1m3pjXJv1nWy2cthTWIaNeeexp7BMs4WOD94CICte+e/TpyWpKj3blqFnBUHIQ8FZBGEwRi1r+1LUsZJzq6xrko04b7Zy2HRIWtxuOlSMZyf199o+MQqjAnvEgrec87jaZ6Ewm6E617Cn8cT9RS4wBCEPCVeCMBgtVa7E8LWo4+EJ0YgND2ByF+CRijiXW1IF2mZWAaNz2wqlX5OqnKU117Cn8NT9ZcSzQgpfmvwSBA8JV4IwGK1VrpzxxcT7fmYTFk0dgDmfHGDaXi6dFS2puuKu3LZC6dekJgdacw27GzX3l14CUO9nhRS+NvklCB7ycSUIN8BbnmKdAopiIwIVCU1fjjqelBSHt+8dgshgC/NvxIQnLam64s2BPUKZCrwRNffXlvxi3LwsG/e8l4sn1ubhnvdycfOybNVpq/R6VkhBKbcIX8ajFte33noLb731Fs6cOQMAGDBgAF566SVMnjwZAHDrrbdi586dDr955JFH8Pbbb7u7qQShGT0sT76eeJ/vgw93n8bfNv8ku72Y8HT3kqovQFZo7Si9v4xa/TDSSk1V5whfx6PCtUuXLli6dCl69+4NjuPw8ccfY9q0aTh48CAGDBgAAHjooYewZMkS22+Cg4M91VyCUITY8qEWQdkaxImf2YQHbu6BD3POqBae7lxS9RVYrcsxoQEGt8R3UXJ/GS0A9ayIZ4+vT34JwqOuArfffjumTJmC3r17o0+fPvjb3/6G0NBQ5Obm2rYJDg5GbGys7b/w8HAPtpgg2NB7+ZCntSyRS6VXYhWe7lhS9SVYc60+/VkeLQWLoOT+8mbXDClaw+SXaNt4TXBWc3Mz1q9fj5qaGowcOdL2+aeffopPPvkEsbGxuP3227Fw4UJJq2tDQwMaGq5HLldXVwMAmpqa0NQkXn7QG+Hb62vt9hY81X9Zxy5i/ro8cAAC/K5/XnGlDk+u2Y/lM5KR2r+jqn0P7hKG+KgAXKwWt1R2DA/E4C5hms7bHX03rm8M3px5I5Z+8xNKqu0izsMD8dzkfhjXN0b2+OP6xuDW3rdg/9kKlF5pQExoAIbGR8HPbGJue7OVE/y9FtT2X+NVK9btO4dzFXXoFhWEGcO6wb+dmbmdL6X1xfx1eQAgOD4AoLKmXvM4NBJPPveU3F9bj5YgwE/el/xSVQ2amrQZXJSMUbn+iwlux9TumOB2be7dQ+9c9ejRd6y/NXEc59EojiNHjmDkyJGor69HaGgoMjIyMGXKFADAu+++i/j4eHTq1AmHDx/GggULMHz4cGzYsEF0f4sWLcLixYtdPs/IyCA3A4IgCIIgCC+ktrYWM2fORFVVleTquseFa2NjI86dO4eqqip8/vnneP/997Fz504kJia6bJudnY1x48bh1KlT6Nmzp+D+hCyuXbt2RWlpqc+5GTQ1NWHbtm0YP348LBb2SGyiBU/0396icjzw8T7Z7RZM7IuZv41XbdnLOnZR1FKphxWttY49e8vV2bJavLnjlItljb8iUhZJOQsYS//Z72PN3rM4+HOVonORamduYRn+9O8fZffx4axhXhfAJtV3Ro97JcdptnKYuGKXrHV265OjNd3n/OqN874B4WvPMvb4/QLC/uHeao03mtb63HMHevRddXU1YmJiZIWrx10F/P390atXLwDA0KFDsW/fPrzxxht45513XLb97W9/CwCSwjUgIAABAa7BBxaLxWcHoi+33RtwZ/+V1l5FQ7P8S2rJ5hN4L+ec6pyJkwd1wYSkzobnxmxNY08ob6VYAVMTgCWZxzEhqbNLnyrJfynWf0raIoVYO8vrm5nGYWntVa+9vs59tyW/GI9lHLomtK6f27mKBjyWcUhXv2aW+8sC4Pm0AXj0Wm5iIQH4fNoABAb4q2pDs5XDkszjqBe5jlJjFJC+dycP6gKT2Y/yuIrQmp577kZL37H+zuPC1Rmr1epgMbUnLy8PABAX17ZvKsJ7URIUpTVljlFRx60RsbRFYohFVuuR/khpW9S0U68gPiWJ9Y2swuSJFE4s95eRlcGMjv73tcIQBMHjUeH6/PPPY/LkyejWrRsuX76MjIwM7NixA1u3bkVhYaHN37V9+/Y4fPgw5s+fj9GjR2PQoEGebDbhhQi9ND2BXH5ReyhnonuQEj1y2EdWKxFPRrRFipxTvzqMfaV5boXun20FJcwWOaOrMLkzhZOUABf6zigB6I7of5r8Er6IR4XrpUuXcN9996G4uBgREREYNGgQtm7divHjx+Pnn39GVlYWVqxYgZqaGnTt2hV33XUXXnzxRU82mfBCxF6aL6X1dXtbpPKLCkE5E6XRw4onJ3qksLdIsoqnj3KKEBPS8mjNPV2G8rpmW9u1tEWKldsLbf/mBSNrnluh+ycy2ILKWtcIXyHLsjtKELsrhZOUAAcgKc71vn9bS+o7gtAbjwrXDz74QPS7rl27ulTNIghnpF6a89flYdlw97dJbPlQCsqZ6IpeVjw1fStUAIF1P+mZxxDgx+G14cCf/vWjzdc0LiIQk5PErbF6YS8Y5Zaxxe4fIdEKCFuW3bGE7w4RJ/UsmXPNj9UZPcW5M1QdjiCE8TofV4JghaWuOL+du93s+eXDj3KKkJ55THZ7spo4siW/WFAssAoFe0tt6WVhn3kxxAogaL1GJVX1+DDnjKZ9sGAvGHcvSBFdxlbrtuCcWN8dS/hGizjWZ4nQd0a5+1B1OIIQxqOVswhCCyxLtwCw/2yFexrkhJ/ZhNmjEiSrGZnQYokjq8l1mq0cnttwRPA7/pou/qoAzVZhSeFctSw98xiUvNvFKm+xVqYSgxc57tAZ9oKR92OcltwZI3u2twkdrW4Lly7Xu20JX49Ka1Jo6QsjK2RRdTiCcIUsroTPwvoyLL2izOKmJ2Q1YcPeQvrdiV9Fl6oBaSue2HKviMa1XZP5qb3RPSZE0o/W/lqqhQPAZ85m8YF2Zt7YXujdMRQnL17Byu2nZLeXuke0ikklFmg9VhSMjODXw1XHKHcfiv4nCEdIuBI+C+vLMCbUNa+vOzHyhdsaEM5pKo+zUGBZ+jabHEWs0mswKSkOD49OwDu7ihS11ZkHR3XH5vwSxec8qlcMRvZsjz2FZUzCVeoeUSsmnZfl3emHaZSI00NY67EPsWBEiv4niOuQcCV8Fha/NwAYGh/lzmYJQlYTYbTkNHUWCizLvVYOWJjWHzFhAUypjpyvT7OVw6ZDxSpa60hqYixeSEu0HS8mJABPrz8kWoUJANqH+NvGckVNo+wx5FxQlKRu4xFaJXD3ioIRIk5NX/DoJc6NTilGEK0F8nElfBYWvzd+O29AzNewraIlp6kJrhMS1qXamLAA3DaoEwDg68MXsKewDJsPX3Dwi73nvVzcvCwbW/IdRapWv1B7n2b78TCqdwwWTRUeyzxlNY0Y8/p2bD58AemZBbLHWpjWX3KMsdw/kcGOYY1CvpWtwQ+T9Vki9t3dw7rZxpKY77UU/ATOeWzxwYjO45Ag2jJkcSV8Gqll+JfS+qKxaL8HW+f7NFs5/FhYZoiVWGtAzP6zFaqqRZ0prcXNy7Jljy2UwUCrHyMHcQskSxq1kqp6PJZxkOlYUSHyLjJybixCqwQAsMdpTLSGFQW5vgBc87hGBlvAAViedcL2mVIrqSeqghGEL0PClfB5xF6a1uar2KzNFbHNM3HFLpytuB7cpufSpVYR6Px7FteRiGALVmSdYLLyCokGvdOWObsnjE+MRUq/jhjxahbKa1wD1JTY8lj7V050Ope8dWcSfncj1xf2350prcHyrJMu+1Ca29WdVcEIojVAwpVoFQj5vVmbPdSYVkDWsYsAgJLqetgvkOqZcF2rCHT+vVwGB/5vJeLPWTTw4litpdheCIuVVL17WFdB0aoUJf3L4jfqjgpZRqGkAptUX/DfNVs53LwsW3AbpVZSd6UUI4jWAvm4El5Js5XDnsIybMw7r9pvzNfwlnNutnJY+s1Pgt+x5FFlRW1eVKnct1L+lvNTe0um2ZKCFw1+ZhMWpvVXtQ/guhBemX1S1KdRyIqnBPv+0WtMsSTo12NMGIFzXl8h/2Wl/aTESioHlXYlCGWQxZXwOtpidK03nfPeovJrllZh9Fq6lLKQSiHlJwqIL/d+ffiC6rbyomFLfjFTJTQ5VuecUVyliQX7SH4xi66aMeWry9ksVmLA1XdVrp/0tJK2tdKuSqzfBCEECVdCV7Q+lHx5OVItRp+z0mvirqXLZiuHiCB/PDCqO77MO++wPB4ZbGG2joqdn7OAUmOxshcNcqm7xvSJQbfoYPw795zsfivr1LsCmHAtKIjjUFl31eG7yGALXp0+EAAE21pcVY85nxzAmzOHYMog9jHli8vZLEFPz284ggqBcSZ37+lpJW1LRUq8aYJO+C4kXAnd0PpQaovRtUafs5prwlqwQeylbC8kY0IDAA4orWlwEJVC7YoO8ccdyZ0wrl9HPL3+EABhccfiJyp0fkpzddqLBlw7ptTvdp4oBSBd0pUPEGMV5WK+ukJiC9c+P1ZcjXX7fpFs67w1B7ASgzHlWlowMfhrefLiZab2etNyNouVWKwf5e49va2kbaFISVs0ShDGQMKV0AU9Hkq+uhypBSPPWc012ZJfjEWbjkruV+qlLFcFKy4iEFNvjMO7u4pc2lVR04jVOWcQEeTP5KqwMvskVmSdZD4/pa4J9qJhT2EZc0CWVHlZALj/pgSH9ElizE/tg7X7zrkImbqmZknh+8a38hW1rBzwWMZBvG02id6X/FgoqZYvmWz0craalRw9UpeJ3XtGWElbQ0oxMdqiUYIwDhKuhGb0eij54nKkVow6ZzXXxF7oBvgJ71fqpcxSBau4ql60XCrfrtXfs+Uwk/ITFRtzLLlSI4MsuH9Ud8xL6W37rR5jzj436tp952StdfNSemFeSi8HIWO1cvjjBz9obguP2H25Jb8Ycz45wLQPI5ezm60cVmafwuqcIgf3CpaVHL2sv2LX3ggrqdaqYLzAB1omxSN6dfAKIdgWjRKEcZBwJTSj10PJndG13hIgYNQ5K70mzVYOizYdVWSFtEdLFSzndrEuo0v5iUqNOd6ytTL7pGAEf1VdE1ZknUTf2DDbeaodcwsm9kX78GCXMabEWmff/o1551W1QwyhPmq2cnhuwxHmfRi1nJ117CKe/0+B4HhgWcnRUsbVHqlrr6eV1PmZNDQ+CvvPVjDvl1/tKL9Sh9eGAw98vA/RoUFe4WrQFo0ShHGQcCU0o9dDyV3Rtd4UIGDUOSu9JiuzTzEtCf/jdzdiVO8Y29/8yzbn1K+aSqE6ExlkQVVdk6jgiAyyMAU4SfXD2n0/C34uZLFVK4LahwZgWnJnl8/VWuuM8CF17qPcwjKmycNjt/bELb1vMGzS9+S6PDQ0C+9XzKruLP4WpiVibob4BCEi2IKqWuFxxnrvabWSAsLPJLPJ0e1E6hkltlriLf6jlPKL0BMSroRm9HoouSO61tsCBIw6ZyXXZEt+MZPPJdASZMUj58+qhftHdceKrJOivqisUfli/aDUIq02dZdUoJsaa93whGjEhgdK+gArxbmP9pwuZfqd2QRDlnVZc8E6XyOxCenDoxOw6VCxaBlXT0fziz2TnLtB7BnlC/6jbS3lF2EsVICA0IxcInmphPHOSCWQ1yMtlDcmUTfinFmvydD4KCz+qoB5v/b5TIUS6OtBZLAF81J64617hyAi2KJqH3JjTs0qgdh1Ejs+AAyNj5LcjrfWTUvubBPI9jgnxt+aX4z6q/qUhBPvI1ZxI76dlsIH+89WMG8LtFwjsfFYUlWPd3cVYWFaf6x5aATeuDsZax4agd0LUjApKc7Q5w0LSlxsxJ5RehZDMAp+4ge4jprWlvKLMB6yuBKa0dtqaFR0rTcHCKg5Zyk/XdZrsv9sBbP4tK/GpIc/qxh8+6xWoEpFpSuWMad2lWBSUhxS+nXEv/ecwXcnf8WOE67WSfsjal0d0GLRNgGICGrnkuuV/w4Q7qORPdtj5Xb5zARi94hWV5zSK/IuK/bEhAbgL+sPSVoc0zOPYfeCFMHr4clofrlnkjNCzyhf8R9tCym/CPdAwpXQBb0fSnr4jTnj7Q94JefMIg5YromSYB9e5ChJDaWGitom0cApFqJD/PG3O5MwKSlOVNyrXbpk8UWMCLLggZu6ArVs7hdCsGRokIKXXEvvGgTAtTKU1H05okd72QIQUcEWjOjhOlb1cMWJCQ0Am7NCy5gHB80TUiOeNyyUVNWp+p39M8qX/Edbc8ovwn2QcCV0w9sfSr70gJdCiTiQuyas5zo/tbdtn+4Q9qtzzqj+7Ytp/TEpKU5W3CtdJRDrd+7aB8H+fqhtbEZlXRNW7SjEa8NbIuMnD+qiqP16WLSdhamS+9LPbMLS6QMl02G9On2goFuDHr6WQ+OjsPWYvMOCCS3XyN7vWgpPWxyFKK9pVPU7+/vW1/xHPTVJIFoPJFwJXfHmh5KvPeB5nCtRiaWtEhMHUteEJVo+LiIQ81J62/52h7DXUhI1NiKIWdyzrhKw+EfXNrr6ns5flweT2U/RioPS5WN77hsZj8lJcS7ClOW+dLZOvzlzCJZ8XeAQCCa15K+XK459u8UC4aKulbbli0Ow4I0T0mjGKnU8Qs8oZ7cg5+0B8h8lWhckXIk2gy/WBFfq56jUT1cuWp63atn3iV75MYUwQVlJVOffxl4LOBvz+nYmcc+6SqBFTIpZGcXcGLRYBicnxamaOIpZp1+6rT+iQgKYLLV6u+Isn5GMJZnHHdokVBzCVyekABAbzi6mpZ5R9pOw8ivX3Q/If5RojZBwJdoUvhQgoMXPUYn4kaomtXxGskufqE0NJQf/KmYtieoMB7aAM6FUV3JiT62YFJtISLkxqLEMahFnUtbpuRkH8da9QwRz0QKO4rv0MtuSPev5pfbviAlJnZFbWHYtRVfLdRrRo72LNdnXJqQ8vOhmmRTJPaP4SVjuqUsoPZaLD2cN85rKWQShJyRciTaHt/viAtr9HJWKH+c+iQluh9JjuUjt31F0eyGx6xyoJBfkYw9rSVQxooItGJ8Yi68PX2DaXokYlcrHqvRYcm4Mq2YOVmXRViPOtPilsgSqORMZbFEkrrcVlDgcY+X2U4LuCr40IbXHXnQDrqKbA/DAqO4YnxjL9IziAw83H4PXPdMIQi9IuBJtEm/zxXVeNrZaOVVL01osb/Z90tTUhM3HpLcXmgA4l6m0Wjn88YMfZI+9MK0/Zo9KkC2JKkVFbRP2FpUbE4Sn0azMH4tFKKZnHhOt+CSE2QSsvGewKnHG6pe6fNsJjOoVYxNDrEnznamsbcK2ghKmtmYdu4jHMlzTXIllKDBiQuqO0tC+KroJwlOQcCUIDyNkuYoMUp543xPLokITAOe693LWw+gQC/5nZHeHNku5L0hx6XI9bhvUSXefR9bIdSGiQywoqa7HnsIyWDnpCQkvFKNC/LFq5hAs2HAYl+td87DaY+WAqBBXizCL6GK1Oq/cfgort59CZJAFs2/qjrX7flal5ZVUcVr6zU+KLcF6TkjdWRraF1aBCMJbIOFKEB5EzHKlJqreGy00LP6w5TVNGPP6dsHlX/5lnnPqV6zcXih7vJMXL2NvUblsjXql4l5LRHp5TRPmr8sDwD4hySooweb8ElnRyuMsQFlFl9Lzqqxrwopv1eXXBZQFD7ZkMxC+RlqLhciJek+Uhva2VSCC8FZIuBKEh9Dix8pbDf/xuxtRWtPg1RYaFuupmCDgX+bDE6LxxYHzsn6fK7cXYuX2Qtka9UpFh16ZFFgnJB8ozGNrL0CViC4jM0RIoTbxvjNqgubkRL1e+WhbG+5wmyAIFki4EoSHUJtiyd5qOKp3jL6NMgi+VOqIV78VTLrOC4K/fpmPusZmxEYEMZewFYKvUb9q5mDmdE5SGJVJwRkTAJNMgJPz9vZuD0pFl7vOy5n0zGMI8leW31YIe8HOIqxYRH1EkL/Xlob2FO50myAIOcyebgBBtFXUpliKDLYYslRpNPvPVkhWCuIAlNU0Yv5nh3DPe7m4eVk2tuQX277nLbexEfLL27wwSc88huEJ0ZiW3NmW+kotSo6vBl44KhGtgKPbg5Jgqz2FZWi2coaflxAVNY149JMDDtfXmdjwQNHqWSa0CCdesG/JL8bNy7Jxz3u5eGJtnuD4YSkisfirAmZrsDdW4jICXuw7jyte7EtdQ4IwAhKuBOEh1PpNBrQzY3xirM6tMR6lL3qhF+OkpDjsXpCCNQ+NwLyxvSR/b28Zc6bZymFPYRk25p23CTiWbRyP31PR+Tjj7O8aGxGIB0Z1Z/59bESgywRGSbCVvbjT67xYpwX2QlGo7wHgucn9BPfpLNi35BdjDoOwYhX1rGVYvbESl96win2xa0gQRkCuAgThIdT6F5ZUN/jkMqXSF71cCVu1lZpYlj3lthnZsz2GxkfhzR2FzBZSZ1bNHALztUpZ/NL23qJyfMjg3+qcPoxHaR87+73a+xOrcWPhfYgB4IUvj6C8RtynV27JPbV/R9k0Uc1WDs9tOCK6f/vxwzpeokMDfLYSl97oVcaXIPSEhCtBeAgt/oW+uEypRqhLvRjV5Gtl8XEEwBTctP9shSrRygufEQKuC6zlS4VEK8vvnRHze516Yxze2VXEfE7zxvZyyPMKAHVNVls2BSmkxrJcmqiV2ackC1zYjx/W8RIbHuizlbj0RmsZXwroIoyAXAUIwoOo9S80YpnSfmlcaHldK7xQB9iXlHmEXozDE6IRGSydXsq+UhPLsueiTUexaBPb0qiWMrBiwkeqj1hEk5o+dnapaLZy2HRImd9i746hLj7EseHKJhb8+Nt8pNj2N3Ddwu7sp9xs5bA6h01cf5NfDKuVY/abFbsvhdwzWjNainmw+B0ThBrI4koQHsbeqlRSXY/0r4+KLrEatUzpvDQe4MfhteHAWzsKMXdcX92sJGoLCwi9GLcVlMiWk7Wv1MSy7FlSLV1oQI0Fz5nIa6Vp7XG2TK2aORjpmcdUpfLSUrwBUJftQqgvWK3HwxOiHcYfP/YmrtiF59MGiJ7v3qJy5vRi/9pzFv/acxaRwRablVnOkspSFKC1WxSVXEN7PJEHl2g7kHAlCC/APvl4kMUsWrsc0H+ZUuwlAwCrdpzCh3vOYen0gbq9aJQIdcAxepyHt57KocbHkQWWCl1iVF4rTctfbzF/2oVpiYgK8XcQRQCwp7BMViipKd7Ai08l/SQ1kZJyhbEfy9sKSgTH38VqaZGj5npWXZvoRARbHCY9YpMCqaIAbSFFFOs1dBbzlAeXMBJyFSAIDyEW2e7OZUqWIgiVtU2Yo3PaG14Q3Dm4M34/tIvktlNvjHN5wbFaBfWwkArRISxQF9cHsVRDxVX1eCzjAPYWleO2QZ0wsmd7bCsoUbT0yvfx/PF9ERfBnlpKaT9JTaTkxvL4xFjVUetqricvnALbmfHpn36LN+5OxpqHRmD3ghRF91VbShGl9HmkJKCLINRAFleC8ABy1hp31S5XsixshJWExZ9y06FiPDupv8NxlVrbWCykJgAdwwMAmHCxmm1pVIvrA8ukYXnWCazZexbTkjvh3V1FqpZelVrNWAO8YsMDsGiq+FI+j9RY3lNYpjpqnW+nUrcG3iXEbDJhWnJnRb8F2qZFUcnzSGtAF0HIQRZXgnAzrNYasaAUPVHy8jDCSsIinIWOq9TadvLiFewtKsfCtP4AxAOfFk0dgEVTlQVH2edAXT4jGdEh4gFj9tZN1klDSXUD3hEQrQB7Lk0lVjMWS/L81D7IeW4cs5VSbCxrETn27VSDWuHUVi2KrM8jLQFdBMECWVwJwo14m7VG6ctDbyuJWuGi1Nq2cvsprNx+CnERgXh4dAI2HSqWDHySyx/qjLOP8pNr9rts4yx89epL1lyaSqxmYpZkvX04tYqcSUlxeHPmYMxbc1BxajK1woksitKoDegiCFZIuBKEG/G2hN5KBaDeVhK1wsV++VtR8Yaqery7qwirZg5xCXxytqKqddWYlBSH5TOS0VjkKF6dha/efckilKSCjZxxh7uKHiJnyqBOWAkTHss4wHRMrcKJLIrSqAnoIgglkHAlCDfibdYaVgFolJVEi3BR41/KW7XTMwuwe0GK5MtTichzJrV/R2wuAj6cNQyltVcFRZ/aymliGCGUhPpAzxRQeomcKYPi8LZZfizoIZzIoiiP2L3JmtKNIKQg4UoQbsQbrTX8S+a5DUcE86IaaSWRqx7GAZiS1GL1ExJIDqm1qupQXtOI8tpGrJJI/+ROq/bwhGhYLMI+r/bnrgVeKA2Nj2JKlaUFI1JAiYmcjuGBknlchfZjbyE+U1qDNXvPOeTm1UM48ddtjsh1kyow0ZZwV4Ap0fYg4UoQbsRbrTX8S2Zl9kmszjmDusZG23fOteH1fhGJCRezCbBywAc5Z/BBzhlRgeRsFdyYd57puN7gg8if+6JNBSiplm+PmFVy6o1xGPP6dkP9UTcfvoDHMg66fK5HUnkHkVNVA/x8EFufHI3AAH9F+3EeC/NSepNw8iBaVi0IQgwSrgThRrzZ/8vPbMITqX0wL6U3ck9dQumxXHw4axhG9OoAP7PJ0ITr9sJlW0EJPsw54xJswyqQvNGqLQV/7k+sPYivDwunBjMBokFlU2+ME0yVVaxjlaLNh4sxb42raAX0CSq0nxDFhAagFNDlHjBCOMkVv2iN6bAIwpugdFgE4Wa8vQ66n9lks/jyFip3JFznj/tNfong96ypn3irNmvCfW9gW0EJMkVEKwCkJnbA81MSbWm3+MT5O58Zi02HikV9ZDnI95ccW/KL8VjGAcmofS0poJxr2j/w8T4AQNaxiypbbCxtNR2WEYgVYSEIKTxqcX3rrbfw1ltv4cyZMwCAAQMG4KWXXsLkyZMBAPX19Xj66aexdu1aNDQ0YOLEiXjzzTfRsWNHD7aaILTjS/5f7kzhpUfWBW+2agvBUohgW8ElbD58AVOuVdHif/dRThFzHlw1lkfW0ro8St0vpMoNz1+XB5PZz+MTOWe8LcDSV2kLJXMJY/CoxbVLly5YunQp9u/fjx9//BEpKSmYNm0ajh49CgCYP38+vvrqK6xfvx47d+7EhQsXMH36dE82mSB0Q2mBAU9ZJ9xpYWJ92eecKnU4f+e+GZ8Y69VWbXtYCxG8uDHfds68lTI98xjTMUqq6gxtG48S9wsWwa7VWmwEvuaK4o20pZK5hP541OJ6++23O/z9t7/9DW+99RZyc3PRpUsXfPDBB8jIyEBKSgoAYPXq1ejfvz9yc3MxYsQITzSZIDyCJ60T7rQwsb7sV24/hS8O/GKrnCTWN7sXpHi9VZu138prmrC3qBxVdY2K89eW1zTKbyRAVoGw24YQSt0vvC2nMSveGmDpK3hbERbC9/Ca4Kzm5masX78eNTU1GDlyJPbv34+mpiakpqbatunXrx+6deuGPXv2iArXhoYGNDRcT39SXV0NAGhqakJTk2uqH2+Gb6+vtdtbaC39l3XsIuavywMHIMDv+ucVV+rw5Jr9WD4jGan9lbvPNFs57D9bgdIrDYgJDcDQ+Cjbi8K+72KC2yHAT14mxQS309zXg7uEIT4qABer5XObVlypwxN2Faqk+yYcAGBtvgprs6YmMqFk7LH2LwCUVNZgRdYJ+DNuzxPNeG3sx8TZshp8klvk0K9SvJTWV1H/XqqqETzvADPn8P89J0twqarGZYx6kpfS+mL+ujwAwq4oSvtCT7z9ube3qBzlV+okx1X5lTrknrrkdvHv7X3nzejRd6y/NXEc59F1mCNHjmDkyJGor69HaGgoMjIyMGXKFGRkZOD+++93EKEAMHz4cIwdOxbLli0T3N+iRYuwePFil88zMjIQHBxsyDkQBEEQBEEQ6qmtrcXMmTNRVVWF8PBw0e08bnHt27cv8vLyUFVVhc8//xyzZs3Czp07Ve/v+eefx1NPPWX7u7q6Gl27dsWECRMkO8IbaWpqwrZt2zB+/HjRJOaEOK2h//YWlduirKX4cNYwZuuEvQXXHt5atHxGMsb0inboO5bfqLH6SrVx6Tc/MeU2lUNJ3+iF0rH336MX8dT6PNntIgMtqKxXZtGIDQ/E5j/fgryfKwWt64D4mGDh/36fjAkD1Fn8J67Y5WJdDzBzSP+NFQt/NKPB6mhdNWq8qYW3UF+63ICKmgZEBfujQ3igKsuw1AqIErz9uWfEM00vvL3vvBk9+o5fIZfD48LV398fvXr1AgAMHToU+/btwxtvvIEZM2agsbERlZWViIyMtG1/8eJFxMbGiu4vICAAAQEBLp9bLBafHYi+3HZvwJf7r7T2Khqa5V9epbVXZc+x2coh93QZnv+yAPUi+zQBWJJ5HNufugXA9b4zmf0QGODvUlkrKtiCV6cP1N3PdvKgLpiQ1BnLtx3HSokqWCyw9I1RsI69tOQu2FJwEV8dlvYpvVhzFRBN9OUIv9WkgZ2QumK3qH90s5XDkszjomNCigdGdUdachfFvwMAC4Dn0wbYKoc5i+YGq0lw7PNjdEJSZ4+7DVgAXG604rX/ntTkf26ED7u3PvdG9OqA6NAgWR9hPn+0J/DWvvMFtPQd6++8Lo+r1WpFQ0MDhg4dCovFgm+//db23fHjx3Hu3DmMHDnSgy0kCPdxprSGaTu5oCY+Cv2P7/+Ayjpxix0fELP/bIXDbx/95IBgOdgKgc/0ws9swqheN2jej33feHPeyNRE8Qm5Gkymlvyv7+5yTZllH72tNHOAPeM1tlksp7EU3pQnVY/o+LYWYc+nqwNcp2DemK6O8D48anF9/vnnMXnyZHTr1g2XL19GRkYGduzYga1btyIiIgIPPvggnnrqKURHRyM8PByPP/44Ro4cSRkFiDbBlvxiLM86KbkNSwSzVK5MMUqvtPiWy6UsMjoCWC6CWwrnvvH2vJExoa4rRVqwci35X4Wwj95+dlI/xfvWM3LeOadxYUkV0CA97gHP50nVIzpebh9g2IcvIlbmOdaL7kfCe/GocL106RLuu+8+FBcXIyIiAoMGDcLWrVsxfvx4AMDy5cthNptx1113ORQgIAhPYl+e0qgUS0oSv0tZJ1hyZQrBl93cf7bCrSmLhPpWrJiAFM6WGzHxzlpG1i242fjLX7vyKw2y29pjhFXMvjRrzol2KD0mL1w9nSdVj3ReuafLmApIrMw+iSdS+2hprtfhS0VYCO/Co8L1gw8+kPw+MDAQq1atwqpVq9zUIoKQxl1WO9bl2ydT+0geV+kyMG9JGxofha3Hrlte5SipqsOewjJNLyCpvl01czBe3JiP8ho214SwwHb4/dAuiAjyR+NVq0/kjSytUSYg9SI6xF+RVTvSIL9mHn7syVGhMjetXrBafEuq6wXvjS35xXjuiyNM+1iedRJ9Y8M8P7nSGfsJC0Gw4vHgLILwFdxptWN9KXaPkU7xpmQ5VciSxrp8nZ55zCHJvZrgFLG+nfPJAUQGWwR9bMWorr+KD3LO4IOcM4gO8ZdMwC9mGVNiWXfednCXMOa28njKghgbEaTIqh3QzqzZt1UK1slDemYBJiZ5brLBer3Svz7qMOGKiwjE1Bvj8O6uIkVGdm+YXBGEN0DClSAYcHe1F73KSioRQ/b+ZXwi6KHxUUzWOGdhqETMs/j5KRGtcm0T45trQTDDE6KxraCE2bIuZCmOjwrAUwpdR4fGR8FsavFNdQf2fqp+ZhPeuncIXvgyX7a/SqobvKKalaerarH6XzuvEpRU1eOdXUWKj+fp8yUIb8HrsgoQhDeixJ9ND/iXopgENoGtxKbcfoCWpd9PH/wtdi9IcRFlUhHAUtgHlshF7muJateTf+05i3vey8XQV7ZhDmOUt1hE+MVr+Wezjl1kPv7+sxWKRKsJQGx4AGLDpa8vv63Q3/bW9UlJcViY1p/p2J4OjOLxZDtYouOF0DIv8ZZ+JwhPQsKVIBhgfWHo9WLRK2WM3H5MAJZOH4hRvWNE9yWWsig6RDrnHquY97aXsZh111mMN1614un1hyQtxUu/+Yk55ZYat45FUwdg0VTp6/vI6ASXaxcbEehgDefThBX+ypZ+7eTFy16RTqxDWKCt7V8e+AUffHcaXx50X6oz8XvD35DjeTogjSC8AXIVIAgG9Fq6V4JeKWP02I9QBHBJdb2tXrsUcoLMl17GvBhfmX0K7313GjUN0sXoS6rZl3fVunUAkL2+z07qb7t2MSEBgKkl8G5PYRlKrzTg5U1HmV0qAGDl9kKs3F5oaDqx2PBAnKtokExSX1HTgJuXZQta7N2V6kzw3qiqw/zPDul2DD3TjxGEr0PClSAYkPNnM+rFwr8UcwvLsOd0KYCWKNwRPdorCh7SI/WMcwTwnsIypt/JCbLhCdGIDQ/UpbyrHNEhFubMBFIszzrBvC2rJXVofJRsIFlksAWr7hmCET3bO1w7qetrP07OlNbi1c36lNIFjE0n9tzkfngs45BLwBh/1lNvjMPcjIOiS+/Fbkx1pvbeYIGS8hOEIyRcCYIBfsldKPJa6sWiR85X50ChldtPITK4ZZnefllbzsKkd+oZvcT8toIS1F+VtlxqhW/LzmfGYv/ZCnyTX4x/7Tlr6DF5WCypfICXmGjlRwzv1iGE0PUVChzTEyPTiaX27yhoSY4O8cfU5E5Yv/8XJn9RT0Tjaymc4Qwl5ScIR0i4EgQjSpfc9cj5KpYmSsgP093J9NWKeXvUVPVSin1b/NuZbeLOHcI1MshiE+5ikxiWPlAjXtzRt4D+RSjssbckZxWU4Mu88yiracTqnDMeb5sUcvcG6zVZmNYfs0clkKWVIOwg4UoQCmBdctcj56vSqleeSKavxX9WbVUvKYQs0fZt4cVjSXW9YrcBJYKD54+/jbeJU6FJzMK0RKRnyvfBc5P6ISLIHxvzzjNZ7o3oWzmMCrLzM5tQVdeID3POqD4fTwQASt0bC9P6Iz3zmOxqBYlWgnCFhCtBKERuyV2vnK9q0kR5wsKk1n9W7zRYf53SDw/c3MO2byHLppZl8+gQf9w3Mh7Ls+TLkfI8PLqH5CTmsYwDTPuZ/1meQ6osOcu9J1KM6RVkx2cD2HykGB0iQjA0PkqzCPdUAKDUvWE2mzStVrQW3FFCm2hdkHAlCOj78GTN+fpRTpGkRUWLlcjdFiY1/rN6tzGxU4StL4V8PbUum7+Y1h9Tkztj7b6fFfkuyhVXYME5s5Oc5d6d11/PwMQt+cV4NfMonuoHPPvFYTQ0m2QD1tzVNrWI3Rt6ZQ3xZdxVQptoXZBwJdo8ej88WUVDeuYxvL+7SPQ4WqxEvpBiSu82ll5pEPxcr2Xzc+W1kr6LPJHBFrx6RyIai/Zj/9kKQyyfcpZ7Pfs2MsiCm3vH4OvDxYYGJvKTC38/x15VK1p5vNlyqUe2D1/FnSW0idYFFSAg2jRilY+EqiSxokQ0SB2HpeqVM6wVtbwBNecnhVi/67VsvjzrJLbkF4smnY8MtmB+ah/sf3E8xvbtAADYpqByllKkCjzo2bdVdU3IPFzMVMiAZ0t+MW5elo173svFE2vzcM97ubh5Wbbo/WSET26cSNs8BV8oYWOeY4EE3iI7LbkzRjqlOWutsJR5Zqm6R7RNyOJKtFn08kV1RkkqHKnjsFj37PE13zil5yeG3HKwnsvm/HWSspTZL3ev2XsOyorlKkfo/PTqW+D6GN10qNiWTkzvwEStk4voEH/8dXI/VNY1ITq0pQyuN1kuaUncESUltN2ZDYLwDcjiSrRZlDw8lSBVZlXpccSse1HBFlsEPU9sRCBWzRxiiz73hpKccoidHyssYp3VAv67IZ1lt7G/TkKWMl60sSb45y3kD97cnWl7IcTOT2vf2sOP0f1nKyStg2otaVonFzf1bI+7ftMVD97SA3cO9i7LpRGrOr6Ou0toE60LsrgSbRYjH55igRdqjiNm3QMco+crahqQnul7Vh3n8yu93ID0zGNMv40O8cff7kySPD/WQgk39YzB5wfOyx5TTJQqXe62rwC16ZA68SLnFuLct2dKa7A866RqK6zcvaDWkqbVJ/frw8W4bVCx141zo1Z1fB1PlNAmWg9kcSXaLEY/PCclxWH3ghQsTOuv+ThC1j37z6rqGjE346BXWXXEfPqEsD+X2aMSEBlkEd3WnhfT+suKFSkLuL3FtqKWLQioXCAIrNnK4aOcIkXL3bERgXh4dALe3aXsd/YsTJN3C7Hv2ydS++BtAStsdAhbf8vdC2ong3r45HqjT6RRqzq+jtz19iVffcL9kHAl2izueHj6mU2YPSrB0ON4Y6CD0uAce/zMJtw/KoHpOLERQUzbiS2b2wcXRQb7M+3LeTv+XFmtxAF+Jswd2xOv3TUIG/MuaPI/jQpha7M9/IRqzUMj8MbdyVjz0AjkPp8qKxyjgi2yY1TtZNB+cqEWIwSgksmXELQkLgzrZLItWaEJdshVgGiz6FGy1BuO422BDnqkuZmX0gurvy8SLG0LqMvPKZd6qJLR4mq/nZr8sA3NHFZtL8Sq7YUKfiWMWsEjlFv05dsTMecT8YIIFbVN2FZQootbhtB14ycXizYeBtDMeCaO6CkA9QiooiVxcSiPLaEWsrgSbRoWS5y3H8ebrDp6WX/9zCYsnT5Q8DstYl8q9VA0o/WS384TZVWdUSp4pCyI4xNjXQL+7OH9MeVcPrRY0iYlxSFNw72glwDUK6CKlsSlEbL+716QQqKVkIQsrkSbx11JwI06jjdZdfS0/k5KisPbbrTIsLod8Nt5oqwqjxqLs5wFcW9RuaiFG2C/dlosaVvyi/HJ3nN4bTjzaQHQt0KWngFV7lrV8WXUVN0j2jYkXAkC7nt4GnEcLcuzeqO39dedlYX4fpQSo/bWMXf5JWqpVjU0Pgr7z1ZgW0EJPsw547Jve/eNhqtWpvawnLfQdePbsjHvvMPf9t8v/qqAqQ32sAhAJVW89Ha9oSVxgtAXEq4E4eN4k1XHCOuvOycVfD+KTQDs+9EdFmz/dmYE+/s5WELFBI+QRdVsAqS8MuwtiP/4/Y1MbWI9b/vrtiW/GGNe3y7ZtugQC8prmhDgx7R7G3ICUKmvqhGuN225tCtB6A0JV4JoBXiLVcebrL9qEOtHIaGjpEKaWhqvWtF41Yr5qb3RPSZEcbUqliB43oJotXKyQtdsAobGRyk6B9a2ldeIuynYM/umeEwcEMckANUEChrlekNL4gShDyRcCcLLULKsaY83WHWMtP42Wznkni7DnsIyABxG9ojBCAMqJLH2I8u56sWaveeQ89w4wXPVK0jsh6JyWaFr5WCrnsWCEQFsEwfEMR1fra+qr0++CKK1Q8KVILwIrSl4vMGqY0trtKnAocqUFuvvlvxiPLfhiMOS+crthYgMtmDp9IG6W5RZ+1HMQtsxPBBADUxw9VFVQ0l1g6hPpX5BYmyttF8il5tk6RnAplQwqvVV9SbXG4IgXCHhShBegh75T70LxzPhOHXybUt+sWh+0craJsz55ADe9mDfCFloB3cJw9Yt32D5jGQsyTwuKqCC/f1Q28iWs1TMp1KPILG4iECM7BGDlQy5ZfklcpZJll4BbGoEoxZfVW9xvSEIwhUSrgThBbSmmuZiAvxidYOsABeKil+0ST7SfNGmo27vGylrY1NTi2U4tX9HTEjqbNsuJiQA+86U46Pvz6CyrolZtALiPpV6BIktTEvEiJ7tmZfIWSdZegWwqRGMWn1VvcH1hiAIV0i4EoQX4G3Vr9SiRYALWfCiQ/xRXiNf0UpqKV2uvWqEiRKXDufo+je+PanYdSA2PEB0iVyPILGoEH/mJXIAzNdYTdsiAy0AmvH+//wG5fXNqgWjHr6q3uB6QxCEI1Q5iwCgvSZ3W6bxqhUffHcaL23MxwffnUYjYz5Me7yp+pUWWAX4RzlFDmNMrFIRi2jlUdo3W/KLcfOybNzzXi6eWJuHe97Lxc3LsmWrIqmtqqQlUGnR1AGiws2+WpVa+L5jqfCmZJIlVUlLjMr6Fmv1ixvzEdDO7FLhjBWtVbwIgvBOyOJK6FKTu63y6uYCvPddkUM09t82H8NDtyTg+SnsYsKbql9pgVU8pmcew/u7i/Dy7YkYnxirS+S5kr5R60/MalG+tfctLt+rCVQK9vfD//3hRlnXioarVqQNisPXh9lKkTpj33dyS+RKJ1li/qJyqbcuVmv37SZfVYJofZBwbeO0voAg9/Hq5gK8s6vI5XMrB9vnrOLVXSl41CyNK/mNEvHIj7EnU/tojjyXWkp3Ros7A6u1cf/ZCpfv1FjLaxubcbzkCsYnckyuFUoRG1dSS+QxIQFM+5YSw2dKa5DxwzlcvNwg+nv++mj17SZfVYJoXZBwbcO0poAgd9N41Yr3vnMVrfa8910Rnp7QD/7t5D1y3JGCR41lPevYRZeoeKnfKPFp5MfYu7vkI9nlEFpK5wV3SXU9yq80IDrEH7ERQbBaOdX+xKzis/SKqyBTay1fnnUCa/aexaKpA2x9LjbhVIKS0rG80NuSXywbLCcnhrfkF2NFFpufr9i1UDoBI19Vgmg9kHBtw7SWgCBP8O89Z5iStf97zxnMHpXA9JI1clmT1bJuEwRVNQCA+evyUN9skvyNPVICXAgOQI2CyHoh5qf2Zip/yhMZZGHar5BIZRWfZVca4HzHaAmiKrHLyKCXa4WS0rFxEYGYemMc3t1VJHlcuUmWWj9f+2tBrk0E0bYh4dqGaS0BQZ7gbHkt03a7Tv6K93cXMb9kjVjWZLWsW60c0jOPobiqHgF+HF4bLiw85azxYgLcCOIiAjEvpbfDZ3LWyMo6ttKiQiKVVXwu23ocrw1vsVhPHtQFgHJRL8TirwoQFmhR3a8L0/ojJixAcenYkqp6QbcYZzqGBzhYhp1RW5DAPncsuTYRRNuGsgq0YVpLQJAniI8OZtpu54lSxdHn/LLmtOTOqiOq7WG1rD+WcZBZVNhb44WYlBSH3QtSsDCtv4oWy8NXpHK27OlRYtSEFkEs5DOrNEp+/ro8bD5cbMvYERHkj1UzXaP2WeD7vKXkrTL4c5o9KkF0XMlNcFj43z8kSwpHpZNgE4D2If4oqapDzqlSLNp0VLJ9i78qoIwoBNHKIYtrG4Zqcqvnf0Z2x982H5N1FxDC3f7DRlrMpfbtZzZh9qgEvL+7SFOOUQCIDrGgvOa6pVRsmVtriVEWf2IlFmUOwLw1BxzGSVxEIP46uR8uXm5AUVkNNuZdwJX6qwr6R1lPsvpI61GeVci31x6lk2AOQFlNI+Z/dohpW3JtIojWDwnXNgzV5FaPfzszHrolgWn5VAh3vmSNtJjL7ZsfY2IlW+XgJ087nxmL/WcrZN0nlIr0yCCLg+sAiz9xs5VDRJA/np3YFwfOVeDfueckj+E8uSmuqse8tXmK2mnPyB4x+OLAeebJAKuPtB4THLnxoEexBDnItYkgWjckXNs4vp7nUG3lIz3gU10553E1m4CxfW/Atz/9KrsPd7xkjRALSqzxk5Li8MCo7vgw54ziYwAtkyf/a4no5VAq0lf9cQjMJhPz+NEjBZVa+D4f0bO95ISTQ0vAWveYEEX3hJYJDut4kJsscwDu/W08wJ1W3RZybSKI1g0JV8Jn8xx6Q3Tx81MS8fSEfvj3njM4W16L+Ohg/M/I7th/toJJuLrjJcsiFpTgbI2Xmzw0Wzl0jgxS3G41kyclIj0uIhAjerD7EOuRgkoLHK73uRETTrUTHKWrM3JtD/M3o/SYcuFKrk0E0TYg4UoA8L08hyzRxeP6xrilLf7tzHjwlh4On3mb//CkpDismjkYL27Md/EVXZiWiPTMAlVLz3KTB1YLpQktEen/+4dklF5pUD15shfpcsdjFd6APkFfWokKtmB8Yqztb70nnCyuQw+PTsCmQ8WaxbJU21/ZdAQDVZ0BuTYRRFuAhCvhc2gpu+kutPgPG+H+sCW/GOmZxxxEa3SIPxamJWLKoDiYzZBsq9DSs9zk4eHRCbJ5P+2PsWjqAIzqdX2y0WzlsKewTHE/yAVPtQ/xR/q0JCbhzaNH4JJWKmqbXHyi9Z5wslhyn53UX5fxKdT2ZiuHr48UY2CS8rZHBLPl5zUKT7otEURbgoQr4XNoKbupB6wvKDXLuUa4P4gJzIqaRszNOIC3zENE29oxPBDPp7nm5WRJnfTed/KiFWgRHEunD3Q4htZ+sLfo/fdoMT4/8Asu17cUOiiraUR6ZgEO/VIhKKyFijLknCplOBPjUesTrURUyVlyjVyd2VtUjoraRlW/rapt8lguV6PdlkgUE8R1SLgSPoeWsptaUfqCUrKcqyS5erOVQ25hGfacLgXQIiSE/DWVlPV1aGtVDfDzQWx9cjQCA/xdfstigWRNFRZk8XNYAhfrh+Kqesz55AAeHNUdqYmxTGU+K2oasPr7sy7fFUsk1HcsygCkZ7IHY/EJ/mOC26H0WK4t36xeLgZqfKLViCpPuQ5pCVbUK82cUpFodFEEb/DlJwhvgoQr4XOwvrxjQgOgp51M7QuKRQQoEZjbCkrw3IYjqKy9vuy/cvspRApYLpWW9eXb2tQUjs0/HxR9YeuZDcH++Cy+pB/knMEHOWdkX96bDxdj3pqDqtp0vSgDWxov3md59qgE+JlNaGpqwuZjwPIZyViSeVyzm4Fan2hfqzSlNVhRaZo5Z5Facc0azyoSldy3aoS0r10/vSALMyEFCVfC52ANfBoaH4Wtx/Q5ptEvKFaBuTL7JJZnnRTcprK2CXM+OYC37V5mWsv67i0qR2ntVZeXh97ZEPjjK/EllXp5b8kvZhadWpHyWQ4PtODZSf1QfqUB0SH+iI0IQkVNI5Z8fRQl1WwrAmpzKrO4c7irCAYrwxOiERseCKBG035Yxj1r4KDUOFM6MVSC0c8cb4UszIQcVPKV8Dmkym4aVThByQtKDawC88Pd8gUP7Mteqi3rm3XsIgDggY/34Ym1ebjnvVzcvCzbVqaWnzxI9bCS7uePr8SSK1bmk3/hu4uoEAseGNUdEUH+tnbY99/8dXlIzzyG17YeR1VdI6YMisP//iGZef+xEYGqLGsskwAtY9YI/MwmPDe5HwC2krpiyI173pLJMkmSKierdWIohdHPHFb4IMmNeeexp7DM0JK6YtdFrkw20bbwqHB99dVXMWzYMISFhaFDhw644447cPz4cYdtbr31VphMJof/5syZ46EWE94CH0zkXPNd7UteDtYXT1ZBiar9swrMqvqrstvYv8zkBCZfw95+CXpLfjHmr8tz2db+5SE3eTABeOiWBFnx4Xx8NSVBnV/e7swAEBrgh/KaJnyQc8Ym7l/dXCDbf6z+1/PG9sLuBSmqxjPrmN2mcszKYS94ck6WIudUqU38NF61ioqh1P4dAbQEBipFaDwLtUtpajMxkah2YsiCkaKYlS35xbh5WTbueS9XcAKrJ6wrBEYKZ8I38KirwM6dOzF37lwMGzYMV69exQsvvIAJEyagoKAAISEhtu0eeughLFmyxPZ3cHCwJ5pLeBnuLJzA+uL5Mu88XkhTbu1lcX+ICLY4+LVKwb/MlKblYl2eTOnXERFB/nhgVHd8mXfeJTcsv6w3uFuUiz+u1PGHxkfBbGIP7HI+X+d/G82VhmaHv/mgrwA/123t++8fv7uRaf+jesWoHs+sY3Zj3gX8Nc1xDGi9p+SW4Z2vsdBS8NYnR+PgL5dx6XI9YkIDAA4orWnAmdIaLM86KRj0Zl+kQQwtExvnsWVkvmYjRTEL7vavNdLtgmhdeFS4btmyxeHvjz76CB06dMD+/fsxevRo2+fBwcGIjY11/jlBuC36eXhCNKJD/FFeI52qp7zGNdcmCywC8/6bErA86wTT/uxfZkrScvEvDyHhBVx/eYx49VuHvogO8ccdyZ0w3inan59crMw+idU5Z1BZJyxwefafrVAsWp3P15tLfvL9BxMML1DRMmYtDpMKIcpqGm1jVg//QpYKY87XWKhwiNS93Tc2THBCFMmQy1XLxMZ5bGnJ1yyHJ4uYeMK/1hsszIRv4FXBWVVVVQCA6GjHG/HTTz/FJ598gtjYWNx+++1YuHChqNW1oaEBDQ3Xl+Gqq6sBAE1NTWhqYrNWeQt8e32t3d6C3v03/cZY/PsH19RKzlyqqkFTU7ji/Y/rG4M3Z96Ipd/8hJJqO4EZHojnJvfD2L4d8MWPZ3DxsvQyc2x4IAZ3CXM473F9Y3Br71uw/2wFSq80ICY0AEPjo2wR8PZtD/DjEGBueWXx/3empr7BQdzW1jcgI7cIw+IjYG2+CqujIRKPjUnAI7d0Zz4+Ky0VtxzPd3CXMMRHBeBitbLSpXoi13+l1bV4Ka2vzaVASPC8lNZXsC+VcNeNcfgX45j95nAd5q/LAwc4XNuKK3V4cs1+LJ+RbFvGF6PZyuHVzKPwV3ANeUwAXs08ipsTRgKQvm85azPqGxpdJlj1DY2ybY0JbqdojPFtsx9nzVbOYSyvvHsQXtt6XPC+Hdc3RvUzSM0Y0eO5t7eoHOVX6kQnsABQfqUOuacu6SacWa9LTHA7w96J9M5Vjx59x/pbE8dxXuEwYrVaMXXqVFRWVmL37t22z999913Ex8ejU6dOOHz4MBYsWIDhw4djw4YNgvtZtGgRFi9e7PJ5RkYGuRgQBEEQBEF4IbW1tZg5cyaqqqoQHi5u/PEa4froo4/im2++we7du9GlSxfR7bKzszFu3DicOnUKPXv2dPleyOLatWtXlJaWSnaEN9LU1IRt27Zh/PjxsFg8W87QF2HpP2fLCW8FFNt24opdDlYVe3irzNYnRxuanibr2EUs2nTUYdkdAKKCLHh56gBZq5gU/DlWXqnDkt9YsfBHMxqsys7lw1nDVFth+OOzWEt5i5bQ+TZbOby76zQ+zT2Lyvomh9+M79+RyXKuhQAzh3SR/nP27+wYFoDfDe2C+PYhsmNQKXL9yY/Z6YM7482dhbL7E7q2WccuuqwSaOG1OwcA5w8L3rfNVg4ZP5zFsq3HRX4t3Vb7NgtZMoWwH2f875x/w18tFqu0GpQ8p/R4b+wtKscDH++T3U7LvS6E2HUxun956J2rHj36rrq6GjExMbLC1StcBebNm4evv/4au3btkhStAPDb3/4WAESFa0BAAAICAlw+t1gsPjsQjWh7W0rwLNZ/Yv58C9MSERXi79I3FgDPpw3Ao5+05AcVerA+nzZAsNKUnkwe1AUTkjrbKmdxHBAZ7I+YUH9EhgTB7NdO9bXkz/HJNfsBAA1WExqale2rtPaq6vEq1cc894/qjgkSlbNcr6sJwRY/TBkYi79PH4T9Zyvw/vfnVLVPKSz993NlI5Z/expv3TsEo/ro+1JmGbMLJifihS/zma6z87VtyZd76Np+9Xl+xIQHo/S8633reF2Vt9WeyYO6wGT2E7n/+yMqJMDl/m+2cliSeRz1Iv1kArAk8zgmJHXW/VlqARSPDS3vjRG9OiA6NEjWv3ZErw66nqvUdXFnHldf1gueRkvfsf7Oo8KV4zg8/vjj+PLLL7Fjxw4kJCTI/iYvLw8AEBdHiYjVQgmepcuKOieut+8bJYFORuJnNmFU7xhcbmjS/VpOSorD8hnJaCza7/A5S6APoD04SqyPebbkl+C3Csvm1jY14/MD55H10yX8/Y6BkkEvShALyHngpnjg6mmHbcWyJRidTF5uzEYE+btY78Wwv7Zq0kpJIVU4hCXgyxm5cag0K4knot49ZWAwMuhMDndmiyF8E48K17lz5yIjIwMbN25EWFgYSkpa8glGREQgKCgIhYWFyMjIwJQpU9C+fXscPnwY8+fPx+jRozFo0CBPNt1naaslBO1R+sJ17htvebAaeS1T+3fE5qKWpUC+ctbQ+CiMeX275ihnlpfxpKQ4WK0cHstwLdkqdn4s17WytglzMw7g4dEJeHeXfDEHKean9sHafecExeC4vjHYvPm0rf9KLzcgPVO8jJvRqX6kxuzGvPNM+4gMtjhcWz3z5UqJIaX3q5JoeyVZSdwd9e5pA4MnJ+nuyhZD+CYeFa5vvfUWgJYiA/asXr0as2fPhr+/P7KysrBixQrU1NSga9euuOuuu/Diiy96oLW+T1stIeiM0heuUN94+sHqrms5PCHaYflGqxWG9WXcbOVEhZ7Y+bFeVw7ApkPFWDVzMNIzjwn+RiqXLC+M5qX0wqO39sS/95zB2fJaxEcH439Gdod/O7MtOpbvP1ZxaGSqH7Exy2ohv/+mBIdrq6Wtzv1rL4acI4uV3K9GWgPV5lVVYzX1FgODt0zSCcIej7sKSNG1a1fs3LnTTa1p/VCC5xbUvHC9rW88dS21WGGUvIzVnJ+S61pcVY+okADsXpCCvUXluFBZh7yfKwAA3duHoGNYAB5fm2c7Fo+9MNpWUOLSD+/vLrJZXO2JCXH1uxfCEzlo5fKFAi3W1nkpvRw+Y23rvLG9MLJHe8AElF5psFnv95+tYBJDSq5rbEQg7h7WDQ3XKnPpKbLU5FVVYzX1NgODpyfpBOGMVwRnEe6BEjy3oEUceKJvhCw2nryWaqwwSl/Gas6PVRza/9bPbEJVXSP+8d/jLuLi4dEJ2HSoWFCgA5AU4W/OvF4Za0t+MRZtKpBsi5HJ5OWQ8mfkWTp9oMv1rahpZLJMzx/fR3BssIoh1vv1d0M6Y/epUociHbHhAbhneDd0jwnRbC1U6vep1mpKBgaCkIaEaxvC0yUEvQUWC5MY7u4bMYvN3cO6Mf3eqPYqtcIofRkrHass4lDot1Li4t1dRVg1c4hLhgkAuHlZtqQIX/rNT3iqX0t6n+tR9+JwABam9ffYEqyYJV3MOrj5cLFLEKMQeizZs1g6I4Mt+PyAqztGSXUDlmedtP2tR+Aiy4qDFqspGRgIQhoSrm0IT5YQNAK1EbcsFiZnPNE3UqJqRdYJRAZbUFXb5BPXUunLWMlYVRpxbh+9Pub17ZLiIj2zALsXpDiMqz2FZbIinM9puvSbn5jbxfv0CqViAoyPMGexpDdbOfy/b0/i/317UmJPLT6sK+8ZrIsfJoulU22gpRpY+kmL1ZQMDAQhDQnXNoQnU5zojdaIW7mUS/Z4om9YLDYmu397+7VU+jJmHasAFEec87/dd0aduFBi6WoRsGzXoCUVm2MWhTg71wR3RJhLWdK35BfjuQ1HUFkrnzrLyrUIcL2QsnTePaybg3uAFHr5iMqtOGixmrY2AwNB6A0J1zaGt+Qh1YJeEbdClpOKmgaXSHO9+4bFcsZisamobcL81N5Yu+9nj15LlvNhDQCyWjk0Wzn4mU1MY1XO+umMvY/qY5/KL3UDruLCnZaukqp6zPlEuJ3ujDDfkl8s2g4xck6V6modFrN0fn34gqL9aPERZbV6a7GatiYDA0EYAQnXNogvpzhR4jvGgpDlZGJSnGF9w2opZrXYdI8JsUXGy7XXiKVm1vNhcc+orG3CHz/4waXgQ0q/joIppwD2frpvZDwmJ8VheEI0thWUKBJhzuKCySIWHgighvkYYkhZkt0VYc7fc0pZuf2U7d96WYeF7le1EwmlPqJKVnm0Wk1bg4GBIIyChGsbxVdTnCjxHftNN/Fax1IY1TdKLMVKLDYs7TUimblSyzere4b97wHXJXI+5dSkpDjmfpqcFIeRPduj2crhuQ1HmH4jJi5YLGLPTe6HxqL9iA0PxLmKBt2qSznjjghzPQoNGGkdVhtsqUTwKh3relhNfdnAQBBGYvZ0AwhCCaxWkpxTpWgWy9PjAeQsxUCLQOPbzL+MxV5RJrQITxY/N/6l6yw++Jfulvxi5vPgUXo+PJOS4rB7QQo+/dNvERkkXJea/8VzG47ItltpP+WeLmPy0eQRExe8CI+NcBQ/EUEWPJnaG2P7dmg5h8n9bO0wEiPHux7R61JjQiu8SATY+lnJvQNoG+tCYyQ2IpBZwPOT0mnJnTGyZ3sSrQQBEq6Ej8FqJVm5/RQmrthlcGvYUWIpBqRfxkr83NS+dOVQej72+JlNMJtMqKwTF5AcWlwH5NoNQFE/7SksEz2mPaEB7WTFBS/C56f2sYnwyromLM86aRt7qf07CooXvVm5/RSG/S0LS746ij2FZbqKQ718evkx8VFOke7iVUwkOqPGR1TLWOfHyJqHRuCNu5Ox5qER2L0ghZb6CUIDJFwJn0LOwmbPxWspibKOXTS2UQyoiTLWw2Kj5aXL2k4122m14tm3W6yfokIsWDXTOSUTm2C6b2Q3pv7dVlCCFVknXES4/dizF7hGUl7TiA9zzuCe93Jx87JsVZZ0IZTccyykZx7TtX08ziJxfmqfa77G11Fy7/BoHetkNSUIfSEfV8KnUJKDlf9u6Tc/YUJSZ8UvDD2DmdRGGWv1c2N3rfhV0X611m0/efEK0+/l4M9vUlIcrFbgxY35KK9pBACU1zQhPfMYzNcyFADAyB4xWLm9UHa/o3reILsN7y8rZRXmxx4ArN13Tv6EnLAf46w5h4EWUa+XTynLPRcVbMHsmxKY01IZ5fPq7O89L6WX5nuY8qoShHdBwpXwOZTkYAVacmkqDV7RO5hJS5SxlmAxdteKQnxx4Dzz+elVt10rHcIC0WzlsDL7pEOFJB5ngTSiZ3tEBlsk/VyD/f0AwJaWS4yV2Sdl/WX5sQeA6byjQywor7m+T/v0XWr6Tq+MA2L3XLC/H6YkxeHv10rCrt13jilIyl0ZEbTcO/wkq6SqDtEh/qioaaS8qgThBZCrAOGT8MuC88b2ZNpeydK0EcFMevmsKkXJMq+S81N6PmJ9KgT/+8hgi2zQVdnlBgz7W5agaAVc/Xj9zCYsnT5Q8vi1jc344wc/SC5nN1s5rM45I3cqAFrGHuv4W3jbAEF/SKXjHWB3A2m2cthTWIaNeecl/WOvuzz0tvn01jY24/MDv2DM69uxraBEUZCUWjcVd7Alvxg3L8vGPe/lYv5nh1AuIVoByqtKEO6EhCvhs/iZTRjVS35JF2C3PBoVzATo47OqFCUR10Lnt7eoXFTQsJ6PVJ8KERsRiLfvHWITmGLCOKlzOOatPWhzDZA6r+KqeuReC8yalBSHt+8dgthw6cpOUkJ+b1G5ZHCZPR3CApnHX2x4oKg/pJLxbo+UaLYXaE+szZP1j91WUILlWSddzp3vKwCKg9H0yFqgJ0omWVrvXdZJA0EQ1yFXAcKnYcnhGBvOvoynpcY4C57IzajEtYI/v3d3FSIewAMf70NDc0vbhFwl9KjbzjNvbE+M6nWDw+/FkrDfNigO731XpKAXgLkZB7D0roE2C+b4xFjkni7D3E8PCIpQqeVsVrEVGWSxjT09yngOjY+C2dRSUpUVMdGsNDepVA5c+77avSAF4xNj8VFOEdIzj6lunydgmWRFh1iw8LYBtueK2nvXiNzKBNEWIIsr4dOwLFk/N7mf7sFMWqxEnogyvr7U3Itp+1U7XAOYxCyQcufD2le9O4bZJgO8FSoiyB87nxnrsHy+85mx+Hz/L0z7tKeyrsmh/axpueyXs3kL2cmLl5mOOXN4N+wtKsfXhy/g7mHdAGhzFdl/toJZtErlK222cli06aiilYWV2ackfXrt+8rPbMLsUQm65SJ2FyyTrPKaJptlXIto1dsdiSDaCmRxJXweMYtix2tlN1P7d2TeV2uOIG5Zao5xKMWpBLUBNUr6VMgKFRlkwf2jEjAvpRf8zCa8kXUCFQqKCNjDwbH9SiYqaoLLvjhwHsuzT9v+jgy+lu+11jUAi8XKpnTCJCaGV2afQkl1g+jv7HOuxoQFICYkAB/msFm4S66lAtOjepS7ccfEVUnZam/qG4LwFki4Eq0CoSXrwV3CsHXLN4r2o7XGuLejtjwmjxpXCdY+rahpwNyMgy7btCT1P4HVOacxY1hXvLNLmYuAM8VV9ViZfRJPpPZhFtVnSmuwIuuk4j67eLke9jZWXrD+bkhnjOp9g+LlZtb2RodY8Pc7BwqK4S35xcxpq1iW+l1+8/VRBFnMNpcMMXcPb1wSd8fE1Wh3JIJo7ZBwJVoNzqlvmpqUW+V80UqkBLnzYxVmSixOLH26MC0R6ZnSvoWVdVc1i1ae5Vkn0Tc2DOMTY5lE9Zq959iDy8IDwFmbATSLbvP5gfPYduwSHhjVXdEkiGXi0T7EH3ueHwf/dq6eYLy1z0jKa5ocfGQ94detFqMmrvY5oVlzGHtb0BpBeAvk40oQTngi+t8eoyONxc4vOsQfk5PY3CqUWpzk+jQqxF/X/K4sLNp0FLmnyzAlKVYy1dHdw7pJLqvzzBvbC2seGoH//UMyU8aBqmvlYYe+so3Zp1HOp9sE4G93JgmKVoA9UE4P7H1kfaV6lBFp65wzN7C66viiOxJBuAOyuBKEAJ6yErkr0tj+/LIKSvBl3nmU1TTim3z58rhmU0t0u5ZjOvfpxrzzak5DEyXVDfjj+z/Y/naO1ueXsxuuWpn217tjKEb2bK/4XCprWyyUq2a2CHjnvnGu4DY+MVb18ru7rHi+vNytp3uDWOYGKXzdHYkgjIaEK0GIoKXqjhqUpifSip/ZhKq6lvr2Sl6sVq4lul1N34j1qTdYl7hrnfDAqO4YnxhrE457ruV/lYM/BzXnwgGYt+aAg3COiwjE1BvjsOlQseBEZveCFMUTK3f3s68ud+sxcVWavxhoHe5IBGE0JFwJwgvwRKSxmhcrj96ChPctdLe7gD18P3yTX4K/pl0XDkr9HitqGqHmEjl7hBRX1Qv69GqZyGgNzlOKN0xI1KJ14qrGLcNbg9YIwpsgH1eC8AKURBoLocYvVou/Iy9I9PLHtfct9DR8Gih7/8yXb09kKvm5Jb8YczMOKCoQoBS1Fdx4lwMxn14WTGgJPvv3A8NtZV/FtvO2HK3uhnVyN29sT5cSv60BqgpGGAVZXAnCC9CSP1KtX6waq6m9dVEvf1xeUDVcteLJcb3xRvZJ27K9p0jPPIb3dxc5nEtksMUlAX9EsAVLp7ekndJiwVaKUh9SoWultAIXL9IXTR2AW/rcgKV3DbSVeW1t2Tf0gNXaPKrXDT7nBywHVQUjjISEK0FowDlwRm0Al9r8kVr8YpUu49oLkm0FJbr44wq94CKC2qGq7qqithkBfy4Pj07Au7uKBAVplZ2QdWfEPg/L5ENsjCidHDgvY3syR6te952RtPac0GK421efaHuQcCUIlehpVVDzktPqF6vU35EXJCn9OmLEq99q9scVe8FVXxOtSvLKihEXEYiFaf0RFRKAS5frcbykGm/uOC3/Q7tjv/edsGjl4c/VE4FIcpMPljESHOCH2oZmh23MJuDBm7sjpV+spDj0RPYNX7Hmtfac0EJQVTDCHZBwJQgV6G1VUPOS01qBh+WYc2/tifgbwm2CZFtBCUa8moXyGraa9WJLoM1WDs9tOCL6grP/v1IWpvVHTFiAoIjaUxjILFx5pJbT7c9VbSCSyaTc+slqrWMZIzUNroUSrBzw/ndnMDQ+GtOSO0sew53ZN8Tuu+Kqesz55ADmp/bGvJTeXiOKfK1ymFaoKhjhDki4EoRCjLIqKH3J6VFXXeyYHcICANQivn2Ig2hVkpNS6rgrs0+6+ItqhRdzs0cliPa7UdkLLl2ux22DOtks2EqYPTIeH31/FgCbWFdirdNqBTbKOqZmqZ/Fh3h51kms2fszFk31HlHoS5XDtKLHM4kg5CDhShAKMdKqoOQlp1dddedjnimtxRc/tgipZ784jIZmE2LDA1F/tVmRFVTsuM1WDqtzzijYkzysYs7eyqxnEFWHsEDbvudcC1hiZcKAOPy2R3vB5e/bBsXiiwPnHSzcYhMZITGoJR0VP45zC8tgNpt0E11ql/pZfYhLqtlXPdzlK+vunNCeQq9nEkFIQcKVIBRitFWB9SWnNvhD7GU9smd7bMkvxoqsE/D3c9xjSbWyc2kf4i9aXWtvUTlTSVQlxF7zZY0I8sfGvPOSIoS3Mr/w5RFJlwcWTGgplVtSVYc9hWUYnxiLB0Z1x6e5rvlXheBTRvmZTS4TloqaRqRnFji0MTrEHwvTrgs8/lpuKyjBf/IuoLym0WHfC9MSNedtnZtxwOF6afEnZXGxGdc3RvC3Su8nOWuxr/jK+hJtNSCNcC8kXAlCIazWgpiQAEPbocYvVuhlHR3ijzuSO2Fcv45YtEmfdE5lNY0Y8/p2TS4OIf5+qGlsFjw3DsD81N7oHhPiIPJYRcikpDjUNVkxf12e4nOzh0PLuc7/7JDtmErK4dpfH/sJC58P1vlaVNQ0Ym7GAbxlHgIALtfSnpKqeszNuJ4VQW2wm/MkQ60fN6uLza29bxH8vRIrndyqh69FvvtCFgWgbQakEe6HChAQhEJ4q4Lco/fp9YewJb/Y0Lbw1sPYCMeXemxEoMvLl39ZOwud8pqWsq9//OAHxZZVKfiAmc2HLzh8zipAHh7dE2+LnNvb9w7BE6l9MC25M6rqWsSc83nxIkTsGsSG679cWVxVj68Py19zswl4c6awOJITeADw/IYjmCNwLYW23XSoGKtmDnbpx7iIQEQGW2THsdh+lRZAYHWx2X+2QvB71vvOHqFJEkv/Kj03I9mSX4ybl2Xjnvdy8cTaPNzzXi5uXpZt+LNFLUqeSQShBrK4EoRCpKwK9lyU8bXTYkVx/u3OZ8Zi/9kK0X25Mzm+M/PWHMRKmDBlUEsfsKThigy2YF5KL8EldPtzUxIoB8BhP0Pjo9xa/tSex1N6Y2JSrOB3LAKvgjGwjReDUSEB2L0gxaUf+YA7pdZYNX7czC421fUwA9h8pBgdIkJs19v+vmNFaJLkS5HvvmYZ5mlLAWmE+yHhShAq4K0KizYdRUl1g+A2UhkGtPjXSf1WLHWRJ5Lj81g54LGMA3jb3PKSZRH+S6cPFFxCd4ZVhKzMPom1+3526bOpN8ZpWkZXyxvfnsRnP/6syZVCCZcu1wv2o1hWicggC5MfspK2slral209jueTrgcG2t8XLPcdIO1L6SuR776eE7WtBKQR7odcBQhCJZOS4vC/f0iW3MbeesMjtmTvvLQtVOub9bfOePolDADPbThiW34VW06Mu+YGICbenfuE1bVhedZJwT57d1cRHh6d4NKOyGALALgsS+spD8SumRER11L7nJQUh90LUrDmoRF44+5krHloBFb9cYjm/TrDutRfUdvo8Lezy8mkpDjkPDcO81P7CP5ezpfSVyLflViGCaItQRZXgtBA6RVxq489vHBktaJYrRzSM4855nMND0D9VasqC4ynX8IAUFnbhJXZp/BEam8A8suJzu4QQgFY0SEW1e3h+3Hdj7/gnzMGw+xnQumVBodldKGcuncP64rlWSdVH9f++ELXTGlFMzmigi2yUdzO1rFmK6d7dDiri40Y9i4nfmYTnkjtjb6xoYqT+/tK5LuvWIYJwt2QcCU04SvRrkah1HrDakV5LOOgy3dSS6P2vxXyzdNbDKll9fdFNt9VQHw5UcgdQgit6ayAFkH9P6v32pak+faICWsALm4HahG6Zn5mExamJeKxDGX5YKWOoRSjosPFXBOiQyyy19LZ5YTfn1JfSl+JfPcVyzBBuBvFwrVHjx7Yt28f2rd3fNlUVlZiyJAhOH1aWTlFwnehPIjKrTfusI4IHUOrtUsvKmubZINexAJSlKL0PEvsyobyabaGJ0QLtnXqjXF4ZxdbrlYW7K/ZlvxipGcW6LZvlj4XwqhypUJis6S6njk1mbOFWo0vpS+UYvUVy3Brp60bZ7wRxcL1zJkzaG52rW3d0NCA8+fP69Iowvvx1WhXvVFqvXGHdUTsGGIva3cjJd71zH4QGWzB7JsSsDzrBNP2/DHt3QCEJmLNVg6bDumbioi/ZnqJdmfUTpiMig53Fpt7CsuYf6tXxL+3R77rYRkm0aUNMs54J8zCddOmTbZ/b926FREREba/m5ub8e2336J79+66No7wTnw92lVvlFhvjF6yj5OwwDRbOUQE+ePZiX1RXtOIXypqsfHQBafKTPJLtlqREu96Zj+oqG1C7w4hmvpbaCKmZxvtrWZGpizTMmFyR3Q4f1+w9qteKxfeHvmuxTKcdewilmQeJ9GlEjLOeC/MwvWOO+4AAJhMJsyaNcvhO4vFgu7du+N///d/dW0c4Z34Uh5Ed8FqvZGzomgVLWIWGDHLwSvTBiIqxN8ht+mY17ej4kqdxpa4wrK0qacrhQlAeuYxLExLxNwMdS4SQhMxJW00Of1bymq2p7BMd0u4rywn8/fFHMYcrZ7w6/SU9VKtZXj+ujzUNztuQ6KLDTLOeDfM6bCsViusViu6deuGS5cu2f62Wq1oaGjA8ePHcdtttxnZVsJLoGhXYXjrzbTkzhjZs73oA02qssybM4corg7EMz+1j+DLSCqF1tyMA6iqa7S12b+dGS/fnih5nDF9hGvJS8G6tKmnILmefN9fsL+V7odPO6SkjR3DW9J7iVUAsxcQet8v3hRoxMKkpDi8OXMwpJpqgvSqglF4unoV67MFgC3lnK9UBvNG9p+toFRkXoxiH9eiousBCfX19QgMpIjGtgZFu2pHyopiNkNxEFVseADmpfRy+VyN5WBSUhyWz0hGY9F+h+3bh/hjWnIndI4Mws4TpUpOF9HXfhsR5I9mKyf64h2eEI3IYAsqGStDsXDpcj2mJXfG+MRY5J4uw9xPDzAl1xfaDwBU1DTCbGqJchcjMtACoBlbnxyNwAB/AJC1mmm9X5zHC8tyspQV0RMWximDOoGzWnH17H6X7zwlxH1tyVisZC5PW1wRU4rSNIeEe1EsXK1WK/72t7/h7bffxsWLF3HixAn06NEDCxcuRPfu3fHggw8a0U7Ci6BoV30Q869TEkTFv74XTR0g+DJX69aR2r8jNhcBH84ahuzjpfgy7zzKahrxYc4ZAJAUbiYAHcMD8PrvbkTG3nPYdeJX228/zDkj6We3raBEV9EKXBeEfmYTRvWKwdK7BtrKhiqxOXUIC8SW/GLMzZAOnjIBWDRtABqL9jtcEzl/Si3+z/NT++DRW3tKlv11RirwBIDmoBS1wnfCgI7YfBaIDQ/E2YrrAsITEf++uGRMoks7MaEBTNuRccYzKBaur7zyCj7++GO89tpreOihh2yfJyUlYcWKFSRc2wC+kgfRlxGyyFbUNLgWJZB5mWt166iub8IH18SqPVKiFQCmJXfC42sPCopQMUsVLxKkiAxqh1V/HIrSKw2IDvbHn9ceQEXtVdG2CE2glGZX4PfD+/9KiUqzCVh5z2Ck9r8BmxVmy1KTssxZTLJa0KSsiGJ+pkosjHpEY299cjQO/nJZtcVXD4uxFn9+T/nExoQGgGU9hESXOEPjo8g448UoFq7/+te/8O6772LcuHGYM2eO7fMbb7wRP/30k66NI7wXX8iD6OsIWegmJsUpehlqdetYtOmo5O+cLa+xEYGYemMc3t1VJCq8xCxVLNH6lXVXYTaZENDOjGe/OCwpWgHxCRQ/MViZfQqrc4pEXQfs9yPn9wa09EVUCJu1Rgj+vlq06ahswYnoEAt2PjMW/u2UVe5uvGrFC1/mS/pACsFqYdRraV1LxL9eaYzUTvw8mUZpaHwUth6TLk9sNrW4vBDCkHHGu1H2xANw/vx59Orl6ktntVrR1KRsie/VV1/FsGHDEBYWhg4dOuCOO+7A8ePHHbapr6/H3Llz0b59e4SGhuKuu+7CxYsXlTabMAChGue7F6SQaDUQJUEagHx9eBNafFdLquqwp7DMJWBDzhfUygEL0/rbrv/OZ8Zi06FiWWuhUHADq0jYVlAiGGxmj3Pgk9h+VmSdkDxH+/24KyhxUlIc/vcPybLbldc0yfozOrMlvxgjXs1CuUrRwl+33NPCeVflltYB4wODpIIRH/3kgKKAKjUTPz2PrwYWMWXlgLkZxrfFl5EKovU2v+a2hmKLa2JiIr777jvEx8c7fP75559j8ODBiva1c+dOzJ07F8OGDcPVq1fxwgsvYMKECSgoKEBISAgAYP78+cjMzMT69esRERGBefPmYfr06cjJyVHadMIAvD0PYltHbvmZA1BW04j5nx0CcN0qdGtv9msaExaAacmdAUBxSid7kccqEv6Td0FSGLcP8Ze1RLLkTHW2aLozKNEIP0U9ixvM/fQAlt410OXlrXZp3X5ZPSZYfSVyvX1Slfrze5NP7P/+/kY8vu6wZBCht/nnehveXqSiraL4CfHSSy9h1qxZOH/+PKxWKzZs2IDjx4/jX//6F77++mtF+9qyZYvD3x999BE6dOiA/fv3Y/To0aiqqsIHH3yAjIwMpKSkAABWr16N/v37Izc3FyNGjFDafILQHW+vTqPEp5O3Cs0f1wPxkltex16oKbU22v+WJTgpNMBP1lpYVtOI/WcrJCdULG4JvEWT3w9L+yKDLRieEA1rs7ALAyt6i2S9ixtU1jUJLvursUo7L6sH+HF4bXhLAv3Jg7ooapfeOaaVLhl7U47ryGB/SdFK2QXYIOOM96FYuE6bNg1fffUVlixZgpCQELz00ksYMmQIvvrqK4wfP15TY6qqqgAA0dEts9f9+/ejqakJqamptm369euHbt26Yc+ePYLCtaGhAQ0N160V1dXVAICmpibFrgyehm+vr7XbW3BH/2Udu4il3/yEkmo7P9/wQDw3uR9S+3c07LhKGdc3Brf2vuVa1HkD0r8+ippG19LNQMsLef3es/hLEhBglpY6kYEWDO4SZuvjs79WI8CPTR45/xYAXkrriyclatY3Xb2KAD/5fV+qqkFTU7jk9yztdN6PXPvqGhrx3/zzGNOr5RmmduwN7hKG+KgAXKwWt/R1DA906T8x9haVo/xKHVPfsWIC8GrmUdza+7rLSkxwO6Z+jQluh6amJmQdu4j56/LAAba28WPuufUHAUDRfaT0ujZbOew/W4HSKw2ICQ3A0Pgol0nnuL4xeHPmjaL3+bi+MbZroHZc6QnfltLqWo+3xdegd6569Og71t+aOI7ziizEVqsVU6dORWVlJXbv3g0AyMjIwP333+8gRAFg+PDhGDt2LJYtW+ayn0WLFmHx4sUun2dkZCA4ONiYxhMEQRAEQRCqqa2txcyZM1FVVYXwcPHJlHpnIp2ZO3cu8vPzbaJVLc8//zyeeuop29/V1dXo2rUrJkyYINkR3khTUxO2bduG8ePHw2KxeLo5bkFPC6aR/dds5TBxxS6HdtrDW8S2Pjnaq9wGmq0cxry2HZX10jPbADOH9N9YsfBHMxqswu2PCrJgxzNjHZZJH/h4H1M7nH/Lo2QfQrD2O3/95Cyazvthbd/79w5G+YkfNY89NfeDsxUxuWskxv3fTlTUygdkRQf746VreVwXbTwqO04A4LW7BmHKwOvuArwVFRBeWl8+Ixmp/TuK9qXz2Ptw1jDmtEOs1/XZiX3x9PpDoq4TD9wUj6cm9GM6pvPxx7y+XTJLhdrnAutY4J9741JTkbZyD/MYZ7E+t3ba4jtXL/ToO36FXA7FwjUqKgomk+tgNplMCAwMRK9evTB79mzcf//9zPucN28evv76a+zatQtdulz3aYqNjUVjYyMqKysRGRlp+/zixYuIjY0V3FdAQAACAlzT0VgsFp8diL7cdiVsyS/GYxn8y+T6GDtX0YDHMg6pjuQ0ov9+LCy7lhxd/MF+tqIBB3+57FX+UT8WluFizVVIJ8u5ToPVhIZm4W0X3THIVhUKAEprr4puK/dbNfsQ8zl8Pm2A4L7tsVzbTqgQgdR+WNtXXtfihqF17E0e1AUTkjoz+1ALpWGKDvFHeU0T5K55WKAfdi5ItQWjhQcF4o8f/CDbxg4RIQ7nOHlQF5jMfrLpoOT6kh97pbVXmfuQ5boumDwA6ZkFqJc49lvfncPArjGYMkjZ8+bb/GJcvCJ9f7GMT2fUPBsD/P2Zx7gn03d5I23lnWsEWvqO9XeK02G99NJLMJvNSEtLw+LFi7F48WKkpaXBbDZj7ty56NOnDx599FG89957svviOA7z5s3Dl19+iezsbCQkJDh8P3ToUFgsFnz77be2z44fP45z585h5MiRSptOeDHekEZHCe5KjaQ3erUnMtiC8YmOk0fWQKH5qX1EX4ZK9iGWpmZ8Yiz2FJZhY955wRRfPGrS3bC2j7XyjhDNVs6h/QCYUqCJpWFiTX31h6FdHTIxjOjZXjaVWpxIEnaWVHlGZWmQu65RIf5MmS8WbsxX9LxhKqAhcN+w7lfNs5FljHs6fRdBKEWxxXX37t145ZVXHIoPAMA777yD//73v/jiiy8waNAg/L//9/8cKmsJMXfuXGRkZGDjxo0ICwtDSUkJACAiIgJBQUGIiIjAgw8+iKeeegrR0dEIDw/H448/jpEjR1JGgVaGN0XjsuDO1Eh6old7KmubXK4FS9R9bHgA5qW45oFm3QeffmheSi/MS+nlYoncVlCCm5dlM1uOlKa7YW0fnwReKUKWr8ggC+4f1R3zUnqLtkuPrAGpToJKaxJ2rSVupYSxHFLXdWPeeaZ9lNU0KnreMBXQELhvtO5X7tko1RfelL6LIFhRbHHdunWrQ5Q/z7hx47B161YAwJQpU3D69GnZfb311luoqqrCrbfeiri4ONt/69ats22zfPly3HbbbbjrrrswevRoxMbGYsOGDUqbTXg5vmbBZEnsr/alayRy7VaC87XghQ7gulBquvbfoqkDJF+AcvsArosl52IMYoUJ5CxHSoo6KGmfUsQsX5V1TViedRJDX9kmeg4sokkMOcupUUnYpfqSR0t1IrHrqmTypuR5Y9QzTI/9ivWFElFMEN6CYuEaHR2Nr776yuXzr776ypbGqqamBmFhYbL74jhO8L/Zs2fbtgkMDMSqVatQXl6OmpoabNiwQdS/lfBdfM2CaaSAMRIWscBKTEiAy5K8HkJHzT7c6WpihJhjsZhW1jaJCnC1EzqWsaq2Qp6zy4OSpWygJYjLCP/K4QnRiA5h86VT8rwx6hlm5LPR1wwGBAGocBVYuHAhHn30UWzfvh3Dhw8HAOzbtw+bN2/G22+/DQDYtm0bxowZo29LiVaN0go13oBYYv9YDwc1yBVEUFKQQAgTgIhgC55ef8ghwtl+SV5rtRml+3C3q4neFXVYLaYchJduWUVLdIjlWqBWC6xjVWrZX2i8bSsoYQ72ce7LmOB2KD2Wa1geZD+zCa9MS8JjGQclt2NZMXGo+BUSgNjwQMkofjXPMCOfjb5mMCAIQIVwfeihh5CYmIiVK1faluz79u2LnTt34qabbgIAPP300/q2kmj1aPWn8xRGlATUUomLNTrYud0nL17Byu2nmI7BocX6Bzim/OGX5Hmro1aBaC+W5PpkW0EJ0z71tBzpWVFHSbuEBDiruNn5zNhrRSj0GauCPrnBlmvjwxHn8WGPfV82NTVhswr/YCVMGdQJj/xSiXd2FYluI/e8ETt33jdUr2eYkc9GXzQYEIQi4drU1IRHHnkECxcuxJo1a4xqE9FG8VYLphx6ChgtaWm25BdjzrXUN/aICQb7du8pLGMSrlHXXsxCwoR/8T234QjCAiwYIeMvyopcnzRbOfwn7wLTvrzVcqS0XWL+xXLixr+dWdex+ugnB1wEj9DYALwv2GdwtygA4sJVCrFzr7p27hFO4l3rM8yoZ6OvGgyIto0i4WqxWPDFF19g4cKFRrWHaOMYYcH0FcRehlKWKp5mK4fnNhwR/I5FMLBkBGgf4o8VM5LxPx/ulTyPytom/PGDH3TJA8nSJxFB/kwpn6JDLJotR1qs4VLw/c/quiEkdN058VObxcBbsoPIpa7i75eUfh1dLNS49p1UJH5gOzM+/dNvUXqlQbdxYtSz0VcNBkTbRbGrwB133IH//Oc/mD9/vhHtIQhdLZi+gta0NCuzT4lauvh9SAkGZ8uLPfzff7szCeUM1Zd4WAS3FKx98uwktgpHdyZ31n1ZXE6cN1s5/FhYJis0/MwmLExLxGMZrhZze+yXboVEtLsmflqyGACeD/Zh9Yke8WqWg09wZJAFqf07yv62pLoBZpMJ05I769hq456NbdlgQPgeioVr7969sWTJEuTk5GDo0KEICQlx+P7Pf/6zbo0jiLaCluCiZiuH1TlsS55SgsHe8lJ+pc72ub3lhU+IzwIvOF/48gjqmqyIDb9usWJ5QbL2SfmVBqb2OOcpVYKU5XfOJwfwwKjuGJ8Y63IuE1fsulZhrYWWnKwJmJfSy2G7LfnFSM+UTl5vv3QrF/zEIm60WI+1Ck9Pu2ywtt9etAItqck+P/CLrsfwFtqiwYDwTRQL1w8++ACRkZHYv38/9u/f7/CdyWQi4Uq0OpS+4NUIgiwNwUV7i8pFa6M7IycYeMtL7qlLKD2Wiw9nDcOIXh1s7Ve6pA20vPz52vWRwS1piOytw2JWS9YXf3SIv6EBJiyptj7MOYMPc87YzoWztpR8bcm6cP3at+RkPYHV3xdh6fSBDpWL5Jbd+QkEANUuJTxaS3yqFZ7eEuzjDuHsaXFOEK0VxcK1qEidMztB+CJKX/Bql5O/ZKzmI/QyZBV4kUFsPp5+ZhOGJ0Rj8zG4iO6WJe3+sqmExFASbc764o+NCDI0wETJsjhvge0Y2g4vDBTfrrK2CXM+OYA3Zw5Beqa0r2hkkAWr/jgEI3q0WMNuXpatqdKRmFAuvtb2+am9Jat0AeomMJ4M9nGeTA6Nj5L16VaLEnFulM80QbRmFAtXgtADX3hgKw2WUhtctbeo3GVJUoj2If6CL0NWgXf/qO669HFUSIDmfdhjy0bwxRGEBVowokd7m3hmtaT6mU2GBZgoWfLl28lqAV+4MR9lMoFllXVNMJtaKoXtKSzTlK+WJahqedZJrNn7MxZNFe83P7MJU2+Mk0wnFeLvh5rGZtvfngr2EZtMTr0xDu/uKnKZ7GhBiTjXavUmiLaKKuH6yy+/YNOmTTh37hwaGx0fuv/3f/+nS8OI1osvPLCVBktpCa5iFUbTkjupzggQFWzBvJTeTMeRwyjfvcq6JvzxfcdsBEosqUYFmBi55CsnWnn4Ptda6YjVelxSLT7ZarZyyC0sw7p90r6eYYHt8O59v9E1sl4pUpPJd3cV4eHRCdh0qNihT9qH+DNfF2dYxbmWDCIE0dZRLFy//fZbTJ06FT169MBPP/2EpKQknDlzBhzHYciQIUa0kWhF+MoDW2mwlJbgKlZhNF4kuEgqFyPQIvJenT5QN9FgtO+e81hQYkk1IsCEZWJgNHyfa610pNR67JyTV2jSKYZRkfWssEwmNx0qdinKMDQ+CmNe387sBrEwrT9iwgKYxbnWDCIE0dZRLFyff/55/OUvf8HixYsRFhaGL774Ah06dMAf//hHTJo0yYg2Eq0EX3pgK7VsabGEsQgjufKTYgLPCEu20ULOeSx4OlWP3MRAK9EhFlTUNDEFlrG6T1itHDbmnXfpK6WTDvucvPzSupLz92RkPetkcv/ZCpfJDn+9pc6V7+vZoxIUjUV3lycmiNaGWekPjh07hvvuuw8A0K5dO9TV1SE0NBRLlizBsmXLdG8g0XpQ8sD2NEotW1osYbwwAiCYQ9UENp+5SUlx2L0gBWseGoE37k7GmodGYPeCFN0t2FLt5QkNaCf6HQvOY4G3pE5L7oyROlXkEqPZymFPYRk25p3HnsIyNFs528QgNkJfa3NcRCBemZYEQPjaA47XXm6scADqmprxxw9+wBNr83DPe7m4eVk2tuQXA7gufJX2XnFVPd5RKFoBz0bWa5lM8tebz4LhjJZAM63uHgTR1lEsXENCQmx+rXFxcSgsLLR9V1paql/LiFaH0Q9sIcGhFrkXvAmOVlCl2zsjJoxiIwIVuU+4S+CJtTcuIhBv3zsE//j9IADiwpYVd7+8t+QX4+Zl2bjnvVwH4bf5cDEigvzx7MS+WJjWH/ff1F3w90rP9+XbEzFlUCdF116s74VSjQHXXS+25Bc7CF8jkRvv7kCrW8WkpDjsf3E85qf2RmSQo4BVel/q2S6CaOswuwosWbIETz/9NEaMGIHdu3ejf//+mDJlCp5++mkcOXIEGzZswIgRI4xsK+HjGPnAFvK9i48KwFNsRZVcUFrDW4+a385L4jGhAQAHlNY0YE9hmVuXx3nRv/lIMTpEhAgeW24JX8h1QUxcieHOl7dUmijnilZxEYF4RCCwJzYiEHcP64Y3tx+XPd781D424aPUHUJorDz9WZ7gtkKuF2/dOwSLNh1FSTVb8QYleEuNeyVZKcTwM5vwRGofzEvprZurih7tIoi2DLNwXbx4MebMmYP/+7//w5UrV2yfXblyBevWrUPv3r0powAhiVEPbDHBcbG6RVBkHbuIyYO6KG6v0sAgPWp+8xbTLfnF+Mv6Qx7JvLAlvxivZh7FU/2AZ784jIZmk+ixpYKhxMQYAOQWlmFuxgHRtFHufnmzpImyh49KXzVzMKJCAlzOb8P+swBqRH/fMcwfv+ke5eKHqsSn0X77PYVlkiLU2W+SvzYrs09hedYJ5mOyoCbtlX16vJhgfbI06jGZtN+XXv6meraLINoizE8Ijmu5vXr06GH7LCQkBG+//bb+rSJaJUY8sFmqGi395idMSFJXp16rJUyNdcaTmRf4Y/v7OR5d7bHFXvijesdg6V0D8egnLZZMT7+8lRQZAK5bMdMzj2H3ghSXdj43uR8ai/aL+qE2NHP44/s/2D7XOilR44bTYk3sjb6xocyZAqSwL5SgdLzbHz/Aj8Nrw9VPOO3RYzJpBN7aLoLwBRRNbU0mmgES2tD7gc0iOEqqtUXoarGEKcWTmRfcfWxvenmr8aWViv5O7d8Rm4uAjuGBOFtx3RIaEWxBZW2TqB+q88SAtVCHFjccW5nf02WY+6m4FZxHLLPC0rsGYlSvGNHfCZ3LtoIS0ej9+evyYDL7aR4Hns5KweN8/uMTY72iXQThaygSrn369JEVr+Xlno8IJ7wbPV8krS1C18hUOXIiiPXYuYVlMJtNurxslYwFI6utafGllRpbW58cjYO/XG5ZAg8JwNPrDwFwFYZCEwMlhTrkSrDKuV74mU0Y1UveCv7w6ASs+/EXF+EtFn3PI3QuseGBqL/aLOmeoddESetSv9ax5wtFVwjCV1AkXBcvXoyIiAij2kK0IfTyGWttEbpGCXGWFyfrPp19U7W+gFnGgtEvfi25aaXGlqsfKtukpKquUZG7CEsJVtaUalJWcAB4V+AYVbVNoq4koq4vEn0BeE8+U6GxFxlkwf2jEjAvpRdTaVdfKLpCEL6CIuF69913o0OHDka1hSAUwyI4YsN9J0LXCCHO+uJk3afzUrLRL2B3vPjVFBlQGkDGOjEoqa7Ha1t+UuSysSW/WFBQ8jw8OoG5j6SC6m5elq2oXc1WDs9tOKKpaIMnV0vExl5lXROWZ53A6u+LsHT6QNG+9aWiKwThKzDncSX/VsIbkUvIDrQEyvjKS0FrPlhnWILXFn9VgGYrpzo5vfN+9ERJ+7WipMiAmgAy1olB+ZUGJpeN5dtOYE9hGRqvWiUzIvClTZX0kVA+YDUFRFZmn2ROfSaGp1ZLWDJNVNY2Yc61HLlC+FLRFYLwFZiFK59VgCC8DTHB0TG85e/U/h090SxVsAhxVrHUbOXwUU4R84uTpSIWy36E2qG2MIQ7Xvz27YsI8sfOZ8Y6VB97c+ZgxMkUB2A5R9ZJSXSIP1O7V24/hXvey8WIV7OY+0jLtVDqxtJs5bA65wzz/oXwZBEDJZkmxCZPrc0HnyC8AWZXAavVamQ7CEITQsubg7uEYeuWbzzdNMXI+RmOT4zFnsIyyUARIb88KfgXJ3/sVzOPwj4PaWSQRTba3H4/Uu1Q4ptq9Itfqn3TkjvbPpuYFCcanMNa/II1HVxEEJtw5SmvYbNoZhWU4KnP8mSvhVggklI3lr1F5UxjRoq7h3Xz2GqJkjEl5ovrDh985+s1uEuY6n0RhC+gT6ZngvACnIN8mpq0vTQ9iZif4baCEty8LFtSfIj55Ulh/+KclBSHW3u3x9Yt3+C1uwahQ0QIrJxj3lGW/ejhm2p0tTXW9okFkCktfsGSAqzZyqkOFJPiAwHrp/O5Sgn5lH4dER3ij/KaRsH9O/v86mFF7B4TbGg2CSmUjimh89Wr6IpYH+hdMZAgfAESrgShEHe9SJ3FEovQGp8Yq6gClNiLkz+fKQPjYLFYZMWU8370CkrRu9oaf+1KquqQnnlMU/vUFr+QSwGmJlBMChMAkwkQ8gqwP1erlcPcjIOC42vOJwcQeS0HrdgxAEc3Fj18U8+U1spO1IxCLsWYM0Lnq7boiv0z5kxpDdbsPedQGS0uIhBTb4zDu7uKdK8YSBDeDglXglCAUWmZ5MQwqxAMC7Awv2iV+MwqfQHrlY+WRcSx+vwqcZ9gaZ+S4hfDE6Jdrq/UefOW2UWbjkqWcpWD7zOpEAX+XF/cmC8pwqWCrISKRmhJMQa0uKesyDrhsTRS9mNPqv1ykyelhTZYxmlxVb1o6jM9KgYShDdDwpUgGDEqLZPQiyo6xII7kzsjNTHWJnpYhOCe06XMx1VaoUrJC1hP31T+uM9tOOIiniJkEt/zqHGf4NsnNqlgPUdW31JhlIkO56X82IhATE6KxYcMQVKsvrKux7Rg5zNj4d/OMdZXD8uxp9NISY09gH3yx1poQ+04FUJrxUCC8FZIuBIEA0blYxR7UZXXNOGDnDP4IOcM4iICMSUplnGPbMdemNYfs0clKH7ps76Az5TWiOzBEdblZKuVExQOUonveVjSGolxprRGdKmate0svqXOKBUwvNVv5zNjsf9shcO12VtUziRc1VJe04T9ZysEBZLYZIfvw4PnKvDed0UObgz8UGoJ7BIen+4sTsCP+ZXZJ7E654xDwJmSyZ9coQ0t41QMylZAtEZIuBIEA0aUYmV9UZVU1QuKHyFG9myPLw78IusTqka08rC8gNfsPSe7H7FUR84WztIrDXhi7UHBfbBMGpSkNeIxoaWM6fKsky7f8aJz1bU0WVJL4WI9LNVupQLG3urn387scm1Y/ISjQ/xRJhJ0xYKUQJIKNBTy0VSSedE+9ZaRfud+ZhOeSO2DeSm9DTuOmnEqh69UDCQIJZBwJQgGsgpKmLZTYuFgfVHx73GzqeWlLiVIR/RoryoYRC/43LEsfplCqY6UpvEC5CcNSq1OfIvE9BMvOtMzj2FhWiLmZogvhUtpML7duafLYDaZbGLIauUUnb+c1Y/FPzl9WhLSMwtU+6PKCSTnyQ5LYBvrcY0uB2wPfx68UP768AXdBKze1lFfqhhIEEog4UoQMjRbOXyZd55pWyUWDqUvKn45VU6QKg0G0QulorN7TLDL77X494n1p1KrU2xEIO4e1g3Ls06IbsOLzqgQf8G+VsLcTw84LD9HBrH57d43Mh6Tk+KYRJPUmLh7WDc0Wa24e1hXLM86qcgfVWlWBx6t1kX+uBU1DaKZEIwK4BITygvTEhEV4q/aGqvWOir2PPClioEEoQQSrgQhw96icqbAlfYh/ope4GpeVA+M6o5v8ktkBSmrL6peaM0dq4d/X0xIgODnLNHtUcEWvHT7AJuV6uvDF5iOeelyPaYld8b4xFjkni5zEaEsOG/P+vvJSXGK/DudxwSfZsleoEcGW9B41YraxmbZ/Wmx4CuZtIkJs4VpiUjP1N/vXAqxcV5cVY/HMg44fKbU6qskCwN/Ng+PTsCmQ8UOz4OWioE1PlUxkCCUQMKVIGRgfclOS+4k+YJ09sMbGh+lOF3Q+MRY/DUtkUmQyvmi6oUan0xnK50e/n1PfZaHxdMGuAgFluh2DkCQ5bp/qNLCB35mE8wmk+ZKUSyotXIC18fElvxirMg66dIXUimvnNFiwWft3/mpvbF238+CE7WIIH/d/c6lUDrOlVp9lWRhsO/7Zyf1bxUVAwmCFRKuhE+hNghDS/AG60t2fKJ45L/Y8iKfRFwOe7HiLkHKihLRKWal08O/7+LlBsz55ADeFhAKcmmNnLMTqCl88F9GP2gt6OGnrMW6HR1iwcLbrlumhdrAcq+xWBdjwwMxL6W3aEDURkb3Hb18R5VOrtRYfaWyMNw9rBu6xwQLFqxoLRUDCYIFEq6Ez6A2CCPr2EUsyTyuOniD5SUrFiHPt1ss/+u7u4oEl/vscUdQlRaUCAMxK52e0c/PbTgiKBTGJ8Zi0aYCAK4vdiGRoSTIbfPhC/jo+zPMbYwIaoequqsKzqoF5/5TMyHLLSxTbd0ur2lCbHig6MSJ9R5l6V97H02h4xlZDlgINQJYjdXX3W4+BOFrmOU3IQjPw4s/5xcuvxy3Jb9Y9Lfz1+Wp+h0P/5IFXNMbma79JyYqWaKnNx0qxs5nxmLNQyPwwKjuiA7xd9guNiLQ8CpBWmAVBgvT+mP3ghTB8+AnB3q8mitrm5BbWOby+d6icpRUsy0tA9etX7ERjucXFWLBqpmDbeexJb8Yj2UcVJTGad7Y3uwb27EwLdHhuDcvy8Y97+XiibV5uOe9XNy8LFtyTG/JL8ZcJ19MpYgJOKX3qFj/tvhoQtZHU27MmCA9oVSKFgGsVPTyVtRpyZ0xsmd7XURrs5XDnsIybMw7jz2FZWgWqgFMED4AWVwJr0dt8n/+waxH8IbaSH3W/K98AveRPdsz+7AaBW/FA1raP6JXB8njsy37BkjmjrW3wOnBntOlGNU7xuEzNdW8JiXFwWoFXtyYb6tIVV7ThPTMYzCbTRifGIvnNhxR3L6YsADF/s0tKbgKMDEpFtsKShRXcdOrKpOQgFN7jwpZF1l9NJVaxbWipYStp/OpujNlGEEYDVlcCa9HSfJ/e/afrZDcr9jvxJiUFIfdC1Kw5qEReOPuZKx5aISoBZFHjVgywtrCCm/Fe+DjfQCABz7eJ2vFk7JI89RftWKbjA+ozQIXrsdL3rUlapaWeQtluVNy/uKqesz55ADeyDqhKKCJJzY8ULbPnOHH6/enSvHCl/mSVvzFXxU4WNT0qsoUGWQRtGCqvUcBbeNdzGprxCoFyzh3Rm+rrxq0rFYRhDdCwpXwetTWvS+9Ip8EX8n+AeUvWXf74aml2crhjawTmKPyBccLiIhg4RykfPCT3EtyUlIccp5LwfxUdUvpPEL+hCxLy+1D/FFSVYc9hWVovGqVFXv/zD6lqF32QkZMdMkx55P9LkLaHiGRqFdVptT+HfD14QsuS81q71E9mJQUh53PjMXCtP64b2Q8Fqb1x85nxhpiSVRyzbzBN53FVcl5kkMQ3g65ChBej1rxFxMagFId968GNdHp7mZLfjEWbSoQ9f9kdatQGvwkBl9es29smKrE/lHBFozo4Spc5dINcQDKahox/7NDAFoi6OXy96p53dsLGful8pxTpVi5XV4I1zDkWAUcRaIegtEE4PMD5/H5gZZofvulZk9O0ISWwd/fXWTYMriQe0NFTQPSM4+5teAHC0aUqiYIT0PClfB61Iq/ofFR2HpMfFnPHaLR3X54SmH1e2R5wSkJfmJ5SfICIbewDHMz2BP7vzp9oGh/ivkqC8FSdEIJYj6FvBV/eEI0vjjwi+qyq87Yi0Q9BKOUP+34xFiPTNCkMnbY+/pqSYcnhFBKuolJcV6XCYB1wiJ13xKEt0HClfB61Io/+789KRrdUYJVzYtZjd+j1IvQiOViP7MJo3rHYOldA2UFNmuwib3FrKS6HulfH9VdpNpj8TPh2Yn9MOum7vBvJ+6dpVeAmpBIrKhhc5tRgrMV3d0TNNaAMKuVc7GGGhGY5G35lQH2CUv610cRZDFToBbhE5BwJXwCLeJv+Yxklzyu7l7GMzI3o9qIYTV+j1IvQiOXi8Wuf3hgO9w1tAsmJMYq6k9eZOwpLDNUtAJAUzOHv20+hg9z5JevJyXF4eHRCXiHoSiFFPYisfmacGNBrmKTM/ZWdHdM0OxhXQZ/LOOgy3dKq1r5KqyZEMprmtpEfxCtAxKuhM+gVvyl9u+ICUmdPb6MZ4RFhnWpVAil9eLllnqN9uc1QvzrGSwUFWxBhUSGAZZr0mzlsOmQ+ijv9iH+SJ+WhIggf2zMO48OYYGwchzTBEWovCqrkOX70Z3J87VcO/6cFm06ylzVyhdRUkYWUFbliyA8BQlXwqdQK/68cRlPK2pzZ/IotXyyLPXePawrlmeddPnceblYrc+h3teRtQ9MJogWGOAF+c5nxmJfUTnmZhxAXaNr1D/LNdEa/X/H4E5Iz3S0eEYGCWd6cKZ7TAh2L0jB3qJybCsowYc5Z5itr/b96K57TQ+/3ZLqBqzMPoUnNGax8GZ4S/gLX+YzZ6Nobc9KonVBwpUgfBStEcOsy4ix4QFYNHWA5BKikLuCwz7slou9KRk6q5X4r5P7Y95a1yVne0Hu384Ms9mEyromBPgJH0/ummi1AH+w+4zLZ6xBbR3CAuFnNmF4QjSe+iyP6Td8/wyNj8KewjLFExGhCQwrWgoC2LM86wT6xoa26iXySUlxqGtstmXMkMKIlGUEoScezeO6a9cu3H777ejUqRNMJhP+85//OHw/e/ZsmEwmh/8mTZrkmcYShMEoLcmoNRiKJaH6HTd2woJJ/RAR5C/aHrEE5zzzU/vYCjV4WzJ0lj54+fZE3JbcCW/fOwRxMonumaO4r+WKdb7Wnsjn65wkX6nVd+qNcRjz+nZFpWcB8ZK1WccuMh1XrhSzEtpCLtPYiCCm7TydU5og5PCoxbWmpgY33ngjHnjgAUyfPl1wm0mTJmH16tW2vwMCAtzVPMIHsbfgxAT7zoKCGiukHsFQYgE1UUEWAM34z6ELWHegWLQ9LJkJVucU4TfdozCse7Qm1waj4PvguQ1HXKpg2RdUYPHfZI7izjzmsGzL961cWim9EYr4ZxXfkUEWzBjWBe/uKlLsYy3lmz1/XR6WDWdr/6SkOKyaOcShJC/QMqFYmJbo4jYhRltYIveFnNIEwYJHLa6TJ0/GK6+8gjvvvFN0m4CAAMTGxtr+i4qKcmMLCV/C2YLDly1lteB4CrVWSJZKUCzlJp1L2c5P7Y0KgeVlofawWOcq65rwx/d/wIhXv1VdFtQdCJVuta/4JeeX22zlYLVyTD6lzr6GfN9uKyhRXFZUCc5tiwi24MnUPhifGGv7jFV8//Oewdh0qFhxVSaWak78dnJsyS9GemaBQ39Gh1iwMK0/pgyKs/UlC619iZzFQu3JnNIEwYrXm6R27NiBDh06ICoqCikpKXjllVfQvr34rLihoQENDddzFlZXVwMAmpqa0NRkbNobveHb62vt9gRZxy5i/ro8cIDNvzDA3PLie259i29iav+OHmqdOM1WDq9mHoW/n/BL2gTg1cyjuLW3cHnZl9L6Yv66PADCuTNfSusLa/NVWBmKLf2mWziarWGYuOKYre/4/4u151JVDQJE2u5MTX2DqO+nPZeqatDUFM60Tz3gr4HYeZgALPrPYfz963xcvHz92RIbHojnJvdDav+OyDp2EUu/+cmWyF2s/+R4NfMotj45Gm/OvNFhfwDQMSwADVetqKprUm2N/eeMQTj4cwU+zT2Hyvom1DU04s3tx7Fh/1nbuQzuEob4qABcrBa3zHUMDwSszSi/Uid5Tcuv1CH31CWHydPeonLJ3/lf67N9p3/FiF4dRPctdM8DQG19I55adwAmWJHavyOeGtcDq3YUijfyGjHB7VrFs1bqvTGub4zg2OLH8ri+Ma2iD9RC71z16NF3rL81cZxYrKx7MZlM+PLLL3HHHXfYPlu7di2Cg4ORkJCAwsJCvPDCCwgNDcWePXvg5yf81Fu0aBEWL17s8nlGRgaCg4ONaj5BEARBEAShktraWsycORNVVVUIDxc3Xni1cHXm9OnT6NmzJ7KysjBu3DjBbYQsrl27dkVpaalkR3gjTU1N2LZtG8aPHw+LhS2lTVvC2crlTICZQ/pvrFj4oxkNVhM+nDXM6/y3Nh8pxrNfHJbd7rW7BmHKQPGo52Yrh/1nK1B6pQExoQEYGh+lasmPb49z3wm1Z+KAWExYvgsXdVxijQyyYOczY3VfrhQaK7HhgZiS1BEbDlxAZb16K4HZBDivatv3X5C/P/7xhxvxa3UDnv/PEdn9LZ0+CLcNEr/WQufSMSwAQ7pF4pujrm4xfE/+7++T8dpW8fuFt6RufXI0/Mwm0T7jLbN7i8pt7jhSON93cr/j+y66z29ELa5Kj81bZwHhlYnlM5I9siIj18dqoPeGeqjv1KNH31VXVyMmJkZWuHq9q4A9PXr0QExMDE6dOiUqXAMCAgQDuCwWi88ORF9uu1FsyS/GYxmHrr2EpEVOg9WEhmYTSmuvel0/dogIQUOzvEjrEBEi2XYLgFF9Otr8MLce+1VV8nfn9vB9J7TdwV8u41xlA/T0xrx45Sp2nCzTNTWR2Fg5W9GAt747d+0vY/z6GqwmVNdcRbt2FlTU1zJd63KZcTp5UBeHghpnSmuxZu85/OfwJQidBx/4FRHkj7MV0tfrbEUDDv5yGSN7tnc5jvN4GtGrA6JDg2SDfUb06uAwBll+BwDDetwg2g+ltVeZ+pK/5ycP6gKT2c9r0rAB4uPyXEUDHss4pLmKFb031EN9px4tfcf6O58Srr/88gvKysoQF9d68+0R8rBEsgvhjWle9Iz01SM/Kt+eiit1gt/bt+frwxeY9qkEvTMLqB0rerOtoAQDO0cwbRsd4i+7DZ/kf0t+MVZknRA9v/mpfTAvpRf8zCZszDvPdHz7ICWpYgJSVZmkgn1YfsdvJ4aajBrurOolh9biIQTRlvFoVoErV64gLy8PeXl5AICioiLk5eXh3LlzuHLlCp555hnk5ubizJkz+PbbbzFt2jT06tULEydO9GSzCQ+jNM8ka3S9J9Ar0lev/Kj27XHGuT1GTAT0ziygtRKVXmzMu8DcX6z5NuVEuQnA2n3nbH/rkT7NGT6VWKxMflslv1s+I1n2uGozavBCfFpyZ4zsKRzw6A6UFA8hCMIRj1pcf/zxR4wdO9b291NPPQUAmDVrFt566y0cPnwYH3/8MSorK9GpUydMmDAB6enplMu1jaMmbY2707woKWkqlks1ltFaqrf1ZlJSHJbPSEZj0X6Hz53bo1flIiH0Sk3kjhRHLDXgy2oaAVOLmJISLEomWEorpxmVx1OtJVPsd9bmq9hcJH1MtdZevVBbsphHa/EQgmjLeFS43nrrrZCKDdu6dasbW0P4CkotfctnJLvVh03Nkr2WZUytpV+FSO3fEZuLWoJbSmuvCrbHXjzojV7WXHe4h6T0uwHf/vSr7HalVxps/SUmHBemJTKPAaXix0ixJ+VSoPR3LKnbAO0TPrXo4ZJjhPWbINoKPuXjShAAm6UvMtiCf/5hEMqP/+DWaGGpikCPfnIAq2YORlRIgKAwUfvyN9J6MzwhWtJhflJSHJ5M7YPlWSdk9/XkuF5Yu+8X0ah2QJ3VT8r6ZaRVGADmp/bG8IT2TMK1Q1ggRvZsLyi24iICMfXGOJdKT1KCSK2fp5jYW5jWHxFB/tiYd96j/p9KcLffqtz9zRpQ5S1VrLRajgnCE5BwJXwOFsvR0ukDMaJne2w+7r52sVQEmrfmoEPqJD2imj1tvekew5YfOeGGUOQ8l4KV2SexPOuky/f8tVuY1p/5ZSpn/ZIaK1qJiwjEvJTetn/LiRCrlbOJwp3PjMX+sxW2c6yoacDcjIOKBJFa8SMk9ipqGl1Ec2x4AO4Z3g3dY0K8WtSonfApRU+XHE+7OgD6WI4JwhN4NDiLINSiNijESFgCgZzzfSoNnhKCFzByVNQ0yG6jBiXC2c9swhOpffD2vUNc2hwbEYiHRycgPfOYrWzvPe/l4uZl2YL9wxqQJjZW4iIC8cjoBESHKEvdYrr2Hy8s5ALsOAB1Tc344wc/2M5pzOvbUVXXiGnJnTE8IRrpmccUl05VEkjnjH2QUlVdI+ZmCPRjdQOWZ52UvQ5tBb0Dqjz5DNMrmJMgPAFZXAmfxZvS2wDqluL1SH3jZzZhYVoiHsuQ9jVNzzyGideskHoyND5KMAm/PWZTy3Y8Yla/uRmuy7DFVfWY88kBh9ROSq1fUmPl6Qn9MCT9v7jSwOZcaTIBD92S4CAsxJbgI4MsKLlyFZW1jgUO7C2pEUH+mnyUI4ItLvuPDLbg1ekDNQX2OaN0OdxduGu52wiXHE88wygVF+HrkHAlfBp3LROyoHYpXk3wlDNRDLk/WY/BCwGgxcrknEDemf1nKyRFK9AiavefrXA4tv21a7ZyuHlZtqSAWp51Amv2nsWiqQNUiT2xseLfzoyHbunJ5KfLn8u7u4owuFuUi3i1iZCqGuDng/BvJ7yoZS8Qnp3Yl+m4zoJIzN8SACpq2SqBKUkX5o2ixp3L3Ua55Lj7GWZEMCdBuBNyFSAInRieEI3YcPV+pFpS3+hlDdqSX4ybl2Xbymk+8PE+2SViJcdutnLYU1iGjXnnsaewzLb8zSqgSqob8OgnB5BVUMJ8TBbmpfRCZLAylwGx5fvhCdGICW1J2Xfxsrh7Bi8QymsamY5nL4hYcrgKtc/+93sKy/CNwiVhb8ov6u7lbrW5Y70NSsVF+DpkcSUIndhWUIL6q4y5fATQEjylhzXI3oIX4Hf9c+clYuel2ZgQtrzKZ0prcPOybBfr2MK0/igovsy0D54vGatAsfaLn9mEpdMHYg5jai8xqxRvASy/UofXhjPtCr9U1ikOstJiNROyUirF06LGE8vd3hBQpQeeDuYkCK2QcCUIHZBatgVa/CLFUhbrkfpGa3odViFgtUIg+jwQkcEWVNU2iR47MtgimEmguKoej2UclD9Bp/aU1zQhOsRf1Fqppk8nJcXhbQE/VSnsBZyY8Jdjdc4ZPDI6Ae/uKmIWRGqtZnLjlBVPixpPLXd7KnesnnhLKi7Cu/HmVGkkXAlCIywBLhGB7VBVdxWAvpYa+4fL3cO6YnnWSVXWIFYhIBQAdrH6+gtQ7NhG5FCtbxK2bmvpU95P9aOcIqRnHpPdnhdwSoKcnDEB2HSoGKtmDkZ65jEmQaTGaqaljfZtlRM17njheXK529uCQpXSWizHhHF4e6o0Eq4EoREW/8zKuquYn9oHa/ed081SI/Rw4f007aPMWY6h5QXPW2Qjgy0IaGdGSfV1v87YiEDcPawbc+CTEmobhYUra0S9GH5mE2aPSsD7u4uYrVJKgpyc4ScFEcH++MfvbsSe06UAWgJ2RvRoLygg1FjNtLTRvq0L066LGmeRWlHT4CK+jXjheXq525uCQtUgZjmODvHHtOROiAjyR7OVI/HaBtGryIaRkHAlCI2wir7uMcHYvSBFF0uN2MOl6ppgnZ/aB91jgpmPcaa0RnEb7OHQEsn+6Z9+C7PJ5HB+Xx++oGnfSgloZ8b4xFhN+1BqldLDsjf30wOorLs+4fjiwC+igk+N1Yy1jfeNjEf7kACs2XtOsMpZemYBzNfCelncKvh0Zg+O6o7UxFhdrJO03K0de8txVkEJvsw7j7KaRnyYcwYf5pzxKgsb4R58JVUaZRUgCI0oTcDPJ34f2VPYmiYHS4WutfvO4bZBnZiOsSW/WND/VA17CstcRLm7/SFLqht0iXpXkiBej3O0F62AfHS80gT2rG2cnBSHJ1J746Xb+gt+X3JNiM4RiOiX4oOcM7oVMpAr+gDQcjcLfmYTqupaxGp5jbLxR7Q+9C6yYRRkcSUIjbjb+qNnYAovgvVi5fZTtn/zFpvxibGIiwjUvEytBL18G1n9GeXGgBpYLBws7eOX80uq6xEdYnERKDz247TZyon6+Go9P72WHFtDoJSn8RULG+EefCVVGglXgtCIu4Md9Hy4sPo9PjGuNz778WdF4rP4mkBZNXMIhsZH4evD2i03UcEWpuT6Wl0f7JHyZ3QMjuuGFTr78rJMQqTax5r6ynmc7iksM2yioacg8vVAKU9DxQgIezztO84KCVeC0AF3Wn/0fLiwiuAeN4TgtkFxeO+7IqbteTgA89YckK2sxcqskd2x7sefZS2by7NOom9smOH13oWC4xqvWtHcfJVpH5FBFhcXASHUWDiUpL5yHqdGW1T0FES+HijlSXzFwka4B1/xHSfhShA6obf1RyytkJ4PF1YRXHjpCt7frUy08uglWgEg4YYQm3VbCr0semLXQCo4TkkeVxNj05RaOFhSX5kATBrQAfeOSMAIJ19od1lUSBB5Fl+xsBHuwVdSpZFwJQgd0cv6I5dHT6+HC4sIDgnww//LPiXwrfvpEBaIkT3b48nUPpIptvSw6Ildg4VpiUjPlA6OY6VSxu1BjYWj2crho5wi2aV+DsA3Ry9h16kyvH7XIEwZ1Mn2HV++WCirgJ6QIPIsvmJhI9yHL/iOk3AlCC+DNY+eHg8XqRk2rv1d06C+jK2e2NeB7x4TzPQbtRY9sWsgVoRBLXIWUUCZhWNLfjEWbSpQJDhrGprxWMZBPPJLJZ6f0hKpr7V8MQvtQ/xJEHkA51WEhWn9MTfjoFdb2Aj34u2+4yRcCcJLaLZyyD1dhue+OMIU5avXw0VMBANAqL8fGuqsqs9JT+xfoEYucepRYUoPIoItWGpXSEHMbYH/fFtBCT7MOaP6eO/sKsKNXaJgNkOXsrByJHeN8JoXYVtBbBXh4dEJ2HSo2GstbIT78WbfcRKuBOEFsEZ/Oy+B6/VwcRbBMcHtUHosF1cam+GaKdMYhCy+QEvA01KnSlhGLnHqUWFKD4IsfrZCCmKCY+qNcS6CQwsvbsyHv5/JLaL94M+VVJ3JjUit5Ly7qwirZg5BVIi/V1rYCMIeEq4E4WGURH/zGBHUYi+Cm5qasFk4jaeu8H67gGsVpshgC+6/KQHzUnq5vECNDCLwloAhfoJSVdco6rbwzi51AXNilNc06ro/6WM1UZolN8GSrzU9swC7F6SQWCW8HhKuOiK2lEcQYqhdlvamoBZeOIpZTMWYn9ob81J62+4RpW4PUn6+C9P6IyLIHxvzziu+F72pb0uq6vDa1uMed1uQIjY8AIBJVSCX0kmCO5+xrel5TvlaidYECVedkIsCJwghlC5LuzvKNzY8EGcrGiS3+efd/7+9ew+Pqjr3B/6dCZPJhSQQAkxQLhHCJaYB5SIItVyCglTR47GCtqVorVo4R+RnRXpKAdEi2FNoK0etN9qjAbWK2CJYAgJH5KJgFATl0gQqJGBISEgCScjM74+ww0xm75m1LzN778n38zw+LZOZPWvWXPa713rXu65Bu3YO4alspe+FlrQHuTzfytoGLFqn/buoZxcshwPwGRhlVtQ2WCJtQY4Uwi249WoA2vJi1VwkhKryYPQUd6z9noteIBQeKGPgSpbHwNUAoqvAiVpTM+KkZwpc6+jR4xP74+cFnysGJA/ckIXvD2ouo6Q0YvrYhAERHbnyD3g37C/FjAJ938VwlRZCSUtoh6rzFxWzghNdTpxvDL/YTbpASW/vVvHs0dV68Y7SAj8l6cmusBdg4RaeyVV50BtgxuLvuegFwsvbSzA0K912r4/aFgauOnGvZ9JDzYiT1lW+ekaP8gd0lQ1I0pNdeHJybkDtT6URUy0jqVoCbSO/i6EqLYRy9vxFPJLfF+/sOQbg8razHZNc8CGwbmuyOw619U0hc3TTEuOFnzscdzsn6i/qrxBx38heyM/xBL0n0uj3zn+ewYzX94bdEezJybkh34fCg6fwxLqvVY846wkwY/X3XM0sgh1fH7UtDFx1Yu4Q6SFyQumQ5MKKqdcG7W4kwojRo2jX9BMJtOUCW6O/i/6vW02pqV4ZSfhg1g34YMN6LL0jDyUVF7Cs8HDQ/eou1cdNS3IFBLT+FyhNXp/mtIXW9AatIhc7cU4HRvbJwNN3fCdk6sADN2QFXPTIeeSNIlxoUv8Z0xNgxurvuTSL8GCYHecAe74+alsYuOrEvZ5JD5HV8U//23cwMjtD9bGNHD2KRE0/ueBz44GysIE2EFyBIDMtATfneoSeV+m7qDTKO6J3J4zo3QlpifEhd+uSdElJaOnPm672YMzv/k/2ftJ7kOiKw4r7rkV5bX3QRYH/58NMM8f0xiPj+wkHgUoj1p2S47Foci5uzlMOfpsu7RGsJ1DXGmDG8u/5hNxM3Duyl9AFmB1fH7UdDFx14l7PpFekttiz8uiR3KiqJ9WNCxe9IQPtue/sQ6XMNqllVRfwsuCIqNx3UWSUd+bYPli1+xjKquUXq/kvnPM2XQQA7DlWKfQeOJ0OTB50hex9pM/HL9fsQ0Vt6Ol3oDmNY9qILPRIT8SidQcNKXE1sk9nTRtbaBmp33OsUk9TA5w+d0FV2olRv+dWrUgwPscjFLjyfEVWxsBVJ+71TEbQOx0vd6K06uiRYvqCQkAo8QGyQav0NwBwXlrVr+a7KJpOEed0YMGtV7eMfsqNjk8Z2gN//+IkMpKaf1rLa0K/Jkm492BCbibG9u+K4Ys3hQxEOyXHY8fccYhv58SOo2cMCVo7JLrg9fk0bRagZaRetM9ElJTXYdSSzcL53Ub8nlu5IoERr8+qQTm1HQxcdYpkIXSyJ60/7Fqn45VOlFOGdhd6fDRHVyK9neqlWWbh72LDRS9+uWa/cDqF0uh4h0uLr6RUAnecD0uHAcfO1MocOZjIexDfzonf3J4bMnB+6vZcxLdzAjDuguTs+Ubc89IueFITMHVYD/TKSNIdsIT6jmS0d6NcZ5sdaM4dXl54SFV+d7jUDB+AWwdmKr5uq1ck0Hu+snJQTm0HA1cDRGqql+wn2j/soU6UywoPo0OSC1V1jZaYDWjy+rBye3HE65LeO7IX1u8vC/td3LC/NOz0u1w6RevR8ZLyWtnFVwCwYstRdEiKV3wPAHUjmmp+a4y+ICmrvhCQ46v1cx3uOzK4Z0d8cFD7RsP+AZmW/O4JuZn42Q1ZiruS/WlbMa7p0THoddulIoHW85XVg3JqOxi4GiTaK6/JeqL9wy5yopSYPRsgF6xEyvgcD/5rUk7I76LabXZbj15Ko+NNXh9GLdkc8rEXm5pX8yvVhJVGNEUDQdHfGq0bKYjWrhX9XPuPrpaU14UdBR3X7/JCRKW2SCW5KmvrsWjdwaAAbMrQ7ooXE0Do/O4mrw/vfV4a4pXLB6BWzilvTe35yi5BObUNDFwNFImV12QPoj/sY/t3xZ5jlYZc3IicKM/WNeKR/L5Y/clx02YD1AaJcqQeShMcQQ71XdSSrqA0eimy81lNfRPau9uhXZwjoOxVa2o3SQj3W6NlI4VhvTpid4nY4qhQAYsUrBYeKMOaohNhF5X5H2t09ncBAMvuGhRUx1UuuL8pNzMoAPv7FyeFXoNcOoXWANSqOeVK1Jyv7BSUU+xj4EpkANEf9taLa/SkEYieAHtlJOGjOWNNmQ1QGyRKuYkJ7eJQVh0caAPQnU+uZpvdcOkUou9BTX1zlYGHx/XBnz8+JlucPxIjV+NzPJiVn41Xt5cEPKfTcTkf2P/fokGrf5tLqy5g5fZiZKS4FbfcVXMsqapA/oCuuDH3irCfW7kATE91AK0BaCxXmLFbUE6xjYErkQFEf7Bbr/Iuq7qAB1/bi3tH9sJ4md2IQikprxO6n1RX1IyRELVBItBctzbUNKbefHK1J9dQwbCaIMQB4H93ygetEiNHruTSMzokujB9ZBYeGt0be45Vtmys4NUzHA5g0bqD+g7gx7+qgNbPrZ7V81oD0FiuMBPLQTnZDwNXIgNo/cGWTnCvbC/BK9tLhEdgm7w+rNp9POzx0xLbwevVVsrICGqCxNbBp1LAojefXPS96pQcj6duz1V8L5q8Pnh9PnRIdIXd3hRofq9F6rAC+keulNIzqs43YnnhIfTztMf4HA9mv1mk63ki4diZWvTUeQw9q+e1BqCxXGEmloNysh+n2Q0gigXSD7veU5KU57hhf+jFIbuLKwKm0pVUnb+Ie17ehVFLNoc9ZiSIBonzJg3AR3PGCqdMSCNxkwddgREqt8IVea86JrXDjrnjQq6wHrVkM+55aZdQ0KqWnpGrcPnWQHM6ws6jZ6KyWE6tFVuOGnIcafW8Jy2wLz1pCSHziKUAFAiubBAuANX6nFanp0+IjMYRVyIDaFkII0c0z1HtiJxZJWtER2p+MjIraic9kffKBwc2f3VKtq/0LjZLT45HZW1DxEauRPOtd/xTb7XUyJA+BU1eH1w6j6V1dF5PicNYrTDDso9kFQxciQyi9MOenuwSniIGxPIc1Y7ImVWyxqrTp9J79fg7+2RX+lfVNcoG+no2UJCC0nmTcjCjIHL9IX5RI/YcM8f0gSvOgVW7j4fd3cwIUp/sOVaJkX276j6e1jxZPQForFaYidWgnOyFgSuRgeR+2Af37IjvPfOh6nqaoQIQLTU6I1WyJtxOYVYdqRmf48GC9w4AEF/hr2axmT//oHRCbiaecxrTH3J9L3pRM6J3J7y995uwo+GPjO+LOKcDM8dmtzxX+bl6QxdkyTFy61etYjUA1YN9QmZj4EpkMLkfdi1pBKECED2pCWrSDHYXV6C87qLiyIroTmFWHKkJlycsF+hrXTTVOig1oj+U+n7epAFC6RnDr+qkajTc/3Pd5PXhpY+KVV+MqZHR3h2hI1+mdXtmox5P6rHPiYErURQojTrKEc1zVHNMfyIjcoUHTwEA7v3zJ6hvaj4ptA5I1e4UZrWRGi21KbUsmpo3aYBsDq+e/gjV9zMKPsPPbsjCn7YVKwakU4b2wN+/OIkuKQlYcfe1QXVXw43+GpXTLUdq4+CeHQ08ajC92zNHe3tnYp9TMwauRFHiP8pWeKAML28vCbqP2jxH/2OWVV/Aor9/qZhPKxoQb9hfikfeKMKSYYG3+wek43M8ltoCMtwojJ4pdf/7aUnRyEhxG9oHIlUD3vu8VDYg7ZDkgg/AssJDLbdJo7Qdk92GLGDSw/8ZI/m50bs9c7S3dyb2OV3GwJUoiqRRthG9O2FoVroheY7+I3eJLiceem0vAG0Lf0S3rk1JcEV9C0il4DTcKIzylHqO6tqU/iONorqkJBg2vdnk9WHl9uKwgWJp1QV0TI4P2DGtpLwWywoPB91XGqV97ofXYvKgK1S1R7pwenbzYfzp//6J2vomVY9vzZOWgF9P6oeG4j26jhOK6Gdc6aJL7+NJPfY5+WPgSmSSSOR96l0IJS0+csfJ/72llNLRM0LtMWoLSKXg89aBmfjTtmLFURhpylx+Sn1v2Cl1uUBf6uMF7x0IW0vXk9q8BeqoJZt1T2/K9UEoZdUXWi5qmrw+jFqyWfZ+ek/8Gw+UYXnhYaER6NZbzWamJWDK0B7olZHU8vn3Nl3E+8XBjzUq+BctF6Z00aX38WoxpzP6fU7WxsCVyESRyPtUExC3PimWVZ0XfBaxiXIjtoBUmiIsrbqAF7bJRDi4HIy9+H/BQav0d0CaUr8Gi9YdVBXo+480yo1iSj19c25XzCjQP725YX8pHlQxygsAFX6r8iN14hctDyb1x7NTrwmbkuCVGbQ1MrdRS26zkY9XgzmdzaLZ52R9DFypTYvV0QyRgFjupJieHC90/BFXZeDtvSdCBkOZBmwBqaduqg+AL8wDS6su4PDpmoApddHPQZzTgYfz+6KfJyWoH7umJgCoxfv7T+me3my46MWjb30R+oXI8H8v1Z74Rb8XouXB0sNsnxuK0bmNWnKbjXy8KOZ0XhatPid7MDVw3bZtG5555hns2bMHpaWlWLNmDW677baWv/t8PsyfPx8vvvgizp49i5EjR+K5555Ddna2eY2mmGHGaIZVAmWlEbzK2oaQj2sppdS7E24dmKk44gkA38/TnwahtW6qGssKD6OfJ0Xzey43wn3NlSn4YMP6S6kE8q9ZZJRzw/5SPPrW56jRkDvqSUts+f9qTvxy34sOiS5MH9kLM8dmB7yHogHxryYN0NS/kchtFN3NTemiS+/jRTCnM1A0+pzsw2nmk9fW1mLgwIFYsWKF7N+XLl2KP/zhD3j++eexa9cuJCcn46abbsKFC5wOIH2k0YzWQZE0mrFhf2lEnnPUks2Y+uJOPLy6CFNf3IlRSzZH5LlCafL68Pg7+2T/Fm5k0we07Fn+3ueh2/3yRyW6X6t46oI+C/92AE2Xki+bvD7sOHoGa4tOYMfRMy23hyKNcE8edAVG9O6kKpgoPFAme7t0caElaG092i2d+JVa5bj0mMraBtnvxdnzjVhWeBiDn9wY8B6KBsT+QbQaalIcREkL7IDgSwqRRYx6Hy8iEq/bzqLR52QfpgauEydOxJNPPonbb7896G8+nw/Lly/Hr371K0yePBl5eXn4y1/+gpMnT+Ldd9+NfmMpZoiUE/IPZIxgRqCs5NnNR2S3ORXRIcnVMroYbiS0dfepfa0b9pfq3p3JIXgek4IAMy4uXt5eEnT8Jq8PC977UvMxbx2YGXASFznxz5s0AIvWhU7LOHtpK1ypvaIBsdaRsEjlNkoL7DxpgYG3Jy1BaApe7+PDYU5nsEj3OdmHZXNci4uLUVZWhvz8/Jbb0tLScN1112HHjh2YMmWK7OPq6+tRX395UUJ1dTUAoLGxEY2N2k7WZpHaa7d2W4VS/+0urkBFzXnFlfMAUFFzHjuPnDZk6qnJ68PidV8iPk4+JHAAWLzuS4zOVjdSp7UtBTv+CbdCWyRupy/gfyXn6xuw88hplNfUhz2GHNHXWnjwFB55owg+IOT75H9cvZcZm788if/ddSzoOStrzmPWqj1Ydtcg5A/oKnQs6TPXo4Mbx8+G37q0dZ88t+UoKmuVqzuE8+ft/8SgK1MD2juuXwb+5+6BeHr9VwHVEDypCXh8Yn+kJsSF/V7ItffXk/ph1htFivf99aR+8DZdlF10Jcf/e5uR1E7oc5aR1E717+S4fhkYnf1d7DlWifKaemS0d2Nwz46IczqEjqX38aHoed2xfN6IZJ8Dsd13kWZE34k+1uHzhVu+EB0OhyMgx/Xjjz/GyJEjcfLkSWRmXr6S+sEPfgCHw4E33nhD9jgLFizAwoULg24vKChAUlJSRNpORERERNrV1dXh7rvvRlVVFVJTUxXvZ9kRV63mzp2L2bNnt/y7uroa3bt3x4033hiyI6yosbERGzduxPjx4+Fyucxuju0o9d/u4grc++dPwj7+lWlDDRlxfX9fKR57O/yq8KV35OHm70R2uku0LW6nD4uGeDHvUyfqvYEjozNG98Ff93yDUzqmKf1fa5PXFzCC4vX68NP//TTsMTomuTD/lquRP6ArGi56Me53W1CpIQXCAaBjUjwq6kIvTAPEPxPSZy+97xD89LXPhNrx9O3fQUaKG4+++TnOXjBmxEfNZ1j0eyFZekce8gd0xbjfbUWlQt850Fxh4YNZNwjPJvh/b51x7fC9Zz7E2fPh+0MaORYdFbc6adYBkK8xrDQDwPOGduw77YzoO2mGPBzLBq4ejwcAcOrUqYAR11OnTmHQoEGKj3O73XC73UG3u1wu234Q7dx2K2jdf8P7dEF6+8SwK1SH9+liyNR9l7Rk1DeFP06XtOSIv8+ibZHUex0t93cASEtyYdmmo5f6TXvfSK9VaQW7SBvn3JyLiXnNOz19evwMys5d1NymnCs6YNNX34a9X3ndRVXv0bbDFcL9vWj9IVS0VHUwJmXkdE2jcHul74VoFYeSigv47m+3XtpiWLm9xyrr8dk351TXK3a5XPj0eDVO1Yi9r8cr6/Hzgs9jJt9xYt6VcDjjNFc+4XlDO/addnr6TvRxlg1cs7Ky4PF4sGnTppZAtbq6Grt27cJDDz1kbuPI1vy37VSzY5JWVirlEq4tSvz7SU9ukf9rVapTKTK6BgBdUtzYcfQMTp+7gMOnajS3KTk+TihobX5OdXUi/7LrGESD0Iowpci0UHNM6XsRbqMDB5oX6cltvKBE6yIiNY+LxTJRkdhdj8juTK0qUFNTg6KiIhQVFQFoXpBVVFSE48ePw+FwYNasWXjyySfx3nvvYd++ffjxj3+Mbt26BdR6JdJC6wpVraWSzCrl0rq90nPJtUW67YEbsuBJDe6XR/KzNVcj8H8+6fm1bizQPLXvwv97s6hl9f+zHx7R3K7aBrFVQ52S4zG4Z0eh+xpZkUKP9PbBs0+hTMjNxPM/vBYdkuRHPqT3UO2r01oYXu3jYrFMlJ5Sa0SxyNQR108//RRjxoxp+beUmzpt2jSsXLkSjz32GGpra/Gzn/0MZ8+exahRo7BhwwYkJHB3DNJP7WiGng0LpEC59ePDbS3ampoNDEK1V64t/q/lkXF98MGG9Vh6Rx66pCVjWFY6/v7FSaE2KvF/rTuOntG0sYA08qsll1WvM7UN+N4zHwq9X3uOVUapVaG1vgARcXk72yN4dXtxwAi4Jy0BU4b2wLLCQ0LH0juboHWGoC2ViSJqa0wNXEePHo1QRQ0cDgeeeOIJPPHEE1FsFbUlIlujAsZsv6h32k9N4CzS3lDbnEr/e/N3MlvyjrSOmt03shfyczwBxxcNLDokuoICp/ONTbpGfvUQfb/La8KXwAKA7/XtjK2HxNIU1NJTP7V5O9tszBzbJ+gzovYCRutsQpPXh0+PV+DmXA9e3l6i6rHc+pModlk2x5XIKozcflEkUJYbVd14oEw4cFbTXjULZtSOfoUajRYNLFbccy2cDkdLX3i9Ptzz8i7hNgOA0xG8GYJWou93Rns3ygWOd0N2RsQCV/+AUetWw3FOB4Zlpbc8dndxBTKSxdIPOiXH46nbczUvlLpp+TYcq7x8ASDyPnLrT6LYx8CVKAw12y+qXTndmtyoqifVjQsXvcKBc6TaK7KobVZ+X/TKSFIMjqQAqqzqPNKT41FZ2xC6ssNVgTl9a4tOCLX1tkHd8L2+neFJS0RlbQNmFDQvOJJrc1qSC1V1jcJT0SL9N7hnR3xwMPSyrE7J8eicHC/4rNrpSXGR/zwmoEOYPktPdmH5Dwah4nwDdhw9o2pmofDgKQC4tEnC5cdIk3Nj+3fG5q++jcrCSiKyHgauRGFEa/tFxen96tDTzq0DKdF2vLC1eUGTmqBCT66uXBAkJ1QAIjpS+27RSewqrsD8W3Jwc14mnnMqt9nr9eHnBWK1Vv2F6mf/divt6nWmtgGz3vpc9fOKWvi3A/B6gRkF2lJclD6Pp6ovj7jLBY8+NI+M/ujV3S23iwbKDRe9WPi3A5ibG/w36SLtYOk5/M/d12DRuoO68sWJyJ4YuBKFIRos6cmrCzW9L0oKpETbseVQObYcKhcOKiRacnWVgiA5oQIQNekKrYMzuTZvPFCGResOCrQqmEg/L7trEJ5Y97VisB7J4gOlVRfwq7X7NaW4iKSbdEhywd3OGXBh1SHJhcq6xqAcZNFA+Zdr9qH2gnIJL+kirWOyO2SOdizSmu5BFGsYuBKFEY06rOGm90VIgdSwrHSkJ8cL1/AsrbqAB1/bi0fyszFzbLZw7qNomoFIUJ6e7MK8718NT2roE3KodIXW5IIz/zarCab9qXm/8wd0xbicbhi+uPBSof7oCvUZCJXyIJJuUlnXiNd/el1LDnJGezf+35tFivcPFSj7vxfuuPCv6/S5C6o+gxK7Bn960j2IYo2pdVyJ7CAadVj1pBk4ELiCPM7pwG2Duqk+zrLCwxj59GZs2F+quS1yRILyitpGeFIThOpUKtXglaNU11PrCLeW93vPsUrdQavj0n/3fzcLRsdZcp890c9jeU19S41Rp8MRMq3FyPdCy+zGhv2lGLVkc0vt36kv7sSoJcZ/3o0mBfWtv0PSKLbV209kNAauRAK0blggSmuagRTDzJuUg93FFS0bDYzrr22/9rLq5pOhtEDGCJHIEZ6Qm4mtvxgjHKC3PrboCHd6cmAhfi3vtxE1RaXn/a9JOXh26jVh7+9AcNuVyH32tKTHaH2f1cw2tL5IE2XX4C9cygbQPIptlQ0viKKBqQJEgiK5/aJIOkJakgsJ7eIurbZu5klLwK0DM7FonfzKb631Tp9e/xVm99f00CCRyBEWXeildGzRIGvywG648epMXe+33pqi8yYNwE9GZl2urZvXDc87HXj8nX2y76/Uuicn52LRuoOaUly0pMdofZ/VBvZqZzeMLGcXbdGsaEJkFwxciVTQklcnetxwpaae/rfvBAXOlbX1mFHwmaqV3+H4gIDgWC+jc4TV5KYqHVs0yFr7+Un86vtX6wpopNevJYc5My0hIGiVXN7d6jBe3V4StEmDlPvodDpCfqaUgkCRz2Prx2p9n0Xfi9Z1YUXzVe0c/EWrogmRnTBwJbII0VJT0sm1yevDqCWbVa/8jjYtQZASNfmQoY4tuoCtorZRd0Ajvf4HX9sr/BiRfmne3aovZo7NVgzg9JQvU/tYre+zSKWI9GQXdswdh/h2zdltahYr2Tn4i0ZFEyK7YeBKZCFq0hHUrvzeeKAMr6jcOtMoegIof2ryIUMdW1rAJtIfRgQ0E3Izcd/IXsJbl6rpF2kWQBqBfO/zk6ioqUd6cjw8aYkYn+PRnOKiNj1Gep8XvPdlwMVS11Q3Ftx6teJ74R/w+pP+/ZvbvxMQtKrZftnOwV80KpoQ2Q0DVyKLEU1HULPye/KgKzCidycMy0oPCipac6A5RxaoFWxxIKUpXCNyhEVfc7I7Dlt/MaYl2JEzPscjFLgaFdDk53iEAtfWOa0iU+Khcn4z0xIwb9IAdBTcqrU1bekxSiGoPP8Lm4qa8y23tw7gteSr2jn4M3K2gihWMHAlsiktI0mXcyOPYFnhoaD7Sqe/xyf2R0PxHtVtCjeFqzdHWPQ119Y3Yc+xypDPFS731OiARmRKvEOSC/09qS3BauGBMqwpOhFQTqv1lHi4nN/SqgtBO4NFqgZoqN22wm1AIH02dx45jfKDO/HKtKEY3qdLQFCmJV/V7sGfUbMVRLGC5bCIbEoKhJROt0qlg5pzI7Px/A+vRaZCea/8AerLaUWj5NCwrHR0SBQr8xRudFYKaKQaqf70BDRS0Ak0B1pSqaJQ9YAlZ+sacc/Lu9B/3npMfXEnXt5eElQD1r8/tdajjUQZKCNKN8U5HS2fV7mRZa35qpEuZxdpE3Iz8dGcsVh1/3D8fsogrLp/OD6aM9by7SaKBI64Upti151z5OgdSQo1dd/YqK6MVrRKDsU5HfjJ9b2wfNPhsPcVGZ01ejRLGnGuqDmPpcOAe//8CdLbJ7YcS+n5WgtVllP60+Nv78O/Ks5rqlYQiTJQ0Vi9rydf1chydmb8jkSqokkkxdLvLVkHA1dqM6y2baIRP+qhAq8pQ3ug/qIXO46eUTy2USfDaJUc2rC/FCs/Lgl5H7VT/EYENE1eX0D6hf+2pWV+W+r2ykhGl5QEbP3FGHxSUoEZr+8NKGWlxtnzjXjq/YOaHgsYXwYqGqv39earGvF5l/sdSU924fZBVyA/x8Pg7BKr/d5S7GDgSm2C2pXI0WiPUT/qrQOvkvJarNp9PCCHNdInjGgELRv2lwqXlFI7xa8noNmwvzTkgjfpM7es8PIocealCwutQauRjCoDFY3V+2bnqyr9jlTUNuLl7SV4eXsJgzNY7/eWYgtzXCnmWW3bxEjkgkqBl7udE8sLDwcFUZHe2jLSQUuT14cF730Z9n5OB7Di7muiclJs8vrw+8JDePC1varr5JZVXZBdHGcGo6omaM25VsusfFXRfGKrbyMbaVb7vaXYwxFXinl7jlVaZucckR/1x9/ZhxS3C8N7d7LN1paRLjm0u7hCKDj0+qC57JMazaOsBzTvMGaFU7bRVROiORoaye2XlYjWELb6NrKRZuedysgeOOJKMa+8Rmw0LFI75zR5fdhx9AzWFp3Ayu3FYU9+0sryUUs2qxq12Xn0jPAJw2ihVswbEbSoeW8ivQOSNGJu5La40RapafVojoZKswxSjeJIB4hqPleR/K5ZnZ13KiN74IgrxbyM9mIjcJHYOSdUYfhw1OSDbdhfisff3id03EidMCJZb1LNexPJHZC0lp8Kp/UIpZFmjcvGG5/+K2o1QLWMhvovVMxIsuZpScvnyqjvmp1W59t5pzKyB2v+QhAZaHDPjrqmsbWeNMIVhg9HdMpR7fNE8oQRqSncYVnp8KS6w6YLGJFDGYqaLWdFPZKfjdWf/Mvw40qyOifjozljoxr4qFns1vrizh3nw9JhQOHBU5iYd2XE2qiWyAYSrRnxXbPb6nw771RG9sDAlWKentw7rScNo0bmwuWDqXmeaJ0wIlFvMs7pwIJbrw5bVUDufTRytMrI0Wrp/Zg5Nhszx2a3tPHwqXN49sOjhj1Pl5QEy9YADXXR9cgbRXA44ywTnPn/joRj1HfNjqvzza78QLGPOa7UJmjJvdOz+t/okTmlgEnt89j5hDEhNxMP3JAlu2o92R2H52Xexw37SzFqyWZMfXEnHl5dhKkv7lSdO+xP7QjahKs9QjtzSYHl9/O6oWNSvKa2tWbUKv5IEbnoWvi3A2i4VIt4bdEJ7Dh6xtTV6NLvSOsd5/wZFZzZeXW+3XcqI2vjiCsFsFMulVpqprH1rtA3Oo9UKWASfZ4OiS48fcd3onbCiMTnaMP+UvxpW7Hse1Jb3yR7f7nRqtKWDQH6YubYPqraJTpd3DXFDaAOv71zICbmlQvl/erJh27NyiNb0mdj+5FvhRYTDl9cGLDtrdnT5P6/IxsPlOHdopOoqG1o+btR+cN2X51vRuUHahsYuFILu+VSaSE6Zar3pCE6MvdfNw/Aig+PKBaiDzflKPo8K+65FiP7ZAjdVy+lz9G8STnomByv6SQWbnSu9YWEyGjessJDWLX7GBbcerXw5zvUNKjkkfy+eOC7PfHBhvUAxE7gevOhW+ua6lb1uqJFS3DuH7QC1pgml35HRvTuhP+alBOR4CwWVudbNUWF7I2BKwGwZy5VJOk9aYguULh3VBa6pye25M2pzQcTfZ7hV0Xn5BFqlPPnBYG5gWouitReSOz8Z+jSYJKy6nrVn2+l6gn+r6exMTDYCnUCj0Slgv/+waCoXaiIMio4t1qd1EgFZ1ydTySPOa5k61yqSNF70lBT11RPPlik66eqoTYAU7PDkJoLiQ37SzHjdbGtYSVqcykn5Gbiozljser+4fj9lEFYdf9wfDRnrKaLu0hUKhCtXRwtRgfnVqiT6l+fORK5t9HaiYzIbjjiSrbPpYoEI0q6qKlrqicfLJL1U9VQG4CpGTkrKa8VOmZJeS2WFx5WFSBpzaXUMtIml/sbianeaI/ChctpjkRwDpg3TR6NtCquzieSx8CVYiKXymhGnTTUBKThAqFQwYEVFkJo+XxIQePK7cX4ycgsxZJkywoPhzyOdCGxavdxzaN6kc6lVAp2pgztofvYEjNqZIoEcZH67TBjmjyaaVVWuSglshIGrsRcKgVGnTTUjMwpBaciwUE0FkKECp71fD4WrTuIlz4qDupXaYpZxJShPbCs8JDmNrRmZC5lqGBneeEhdEhyoaquUddUuhmjcKJBnOhn47ZB3XDHoExUfL0LntQEHK+st1QRe73VRrSwwkUpkZUwcCXudBJCNE8aSsHprQMzZctARXvhXLjgWcvOQv7kXo/oFPOs/L7olZGk4VlDMyJNRiTYcfj9f63Ba7RH4dQEcaKfjXeLTuKzY2cwuz/w2E39MGP1F0H3MXOa3Ky0Kq7OJ7qMi7PIUgt8rEg6aUwedAVG9O4UsaBVabODFxRql8otnIvUghGRzRhCfY5EyL0e0SnmXhlJEZ0R0DPVLRLsVNY14pH87KAFeqI6Jcdj6y/GRHXqWE0Qp+azcaq6+ZhP/F1+pD2SRezDfX+YVkVkPo64EgDmUplJpKqDEv/goOp8Q0QWjKgZWVP6HIlqPWKlJo1F74hvuONrJR58J+OjOWOxu7gCZVXnMW/tl6ipvyj02DO1DdhzrNKQUTnRzSPUBnGinw3pvWuubRz8vPMmReb3SKT+cPk5sWoNbS2tiiiaGLhSC+ZSmcOIFdeFB8rwyvaSiKQTqJ0elfscVdbWY9G6g8KvUwp21KSxiGwOoJb/8bXuBqYm+PafEk6Mj8ODr4mX9TJilE/NanktufHSZ2Pl9mIsWndQdfscABatO4Cbco2t36qm/rDTAShNZLTltCqiaGGqAAWIxrQ4BTIi4FhTdCJidXi1TI+2/hzdnNcNH80Zi3mTBggdSwp21KaxKNXE1cL/+BsPlGHUks2Y+uJOPLy6CFNf3IlRSzYL1aANV48TADomuYKCnQm5mXj+h9eiY5JLqL16R/lE0kH8aa0zGud0ICPFramNkajfqrbGbKigFWjbaVVE0cDAlchkegIOB5rzG1uXcvKn92RvVNWJOKcDPxmZhUyBoLLSb+93tRs0+G8OsOwHA5GeHC/U/tak4wNQFdC1JgXfoQKjyrpGbDxQFnT7hNxM7PplfsjXYEQhei2bkOjJjdcbZBuZQ6p1xqP1y4pk7i0RXcZUASKTac3NlM6bkwd1wyvbS8LeX+vJXqR9nlS3UOAU53Rg3qQB+HnBZyHv13o6WG0aizTiu+PoGVT4BcHhzJs0ABkp7pbjA8CoJZt1lz8an+NBhyQXztbJX2CEOk58Oyd+c3uu5m2BRWhdLa81N15vPrKROaRavxdeX/DnhSOtRJHHEVcik4UbuXIAeOCG4JFKaYRnfI5H6Hm0nuxFVoRfuOiVHTGU0zE5/DSx3AixljQWNUFJZloCfjIyK+D4agK6UHYXVygGrSLH0bMtsAjRfiqrDr6f3Pa3W38xBmmJ8Yqr87VWoIjENqd6guCMFDfTqoiijCOuRBYgMnL12IQBsiOOTV5fxOvwSu17/J19sgFYVV2j8CIwo0oKiSyWUhOUyI1aGtVWNcdRel2RXDwp2k+L/v4lEl3OoPfYf1HZ+1+cFNo+V+kz3zHRBaApaqX59Iz+snoAUfQxcCWyiHCBiVIR8mjtaT4+x4MF7x0AEBy4Ss/5+Dv7kOJ2YXiIESjRk31Jea3i30RXv4sEJU4H8OzUa2QDbrX5vS1BZ1Vty79dKo5TUl6HUUs2K76uSBWiFw3eKmpDX6Asfv8AXthWHHR7qUJ1C7nP/DVXpuCDDevRNTUBxyovl5+KVGk+LdUoWD2AyDxMFaA2J1JF+o2gtapDpKeSgebpbrmpYn9n6xpxz8u7Qq64H5aVDk9q+EBu1e7jsu+NmtXvIlPSz069FjfndVNsq+jK+Q37S1sqDzz2dvOOTzct34YN+0uFjtMhyYXlhYc0LwLTQ+3UvVyVir8XnZQNWiU+hccpfeY/mHVDQPrBR3PGRmzhk5pqFKweQGQujrhSm6KmTqXdRLoOr5p80VD1Y+OcDkwd1gPLCg+FPkZ1fdBiIC17xStNSfu/70rT86Kj2RsPlMnWAT1VfbkfQh1H+ne41zW2f1fsOVYZkfdX6qdfrtkfckGb3EKt978oxX+8EXrBHWQeF0q0tzkVrT/MTVmIzMXAldoMpSLjRhTpt4pInuzV5PNJfbzgvS9lV8r3ykgSOs5HR76F1+tDeW09uqQkwOv1aV79rhTUh7uYCZd/PD7HE7LyANAcdH40Z6zicaYM7Y5lhYfDvq7hizcFBJVGX3RNyM3E+YYmPPLm52HvK13IbNhfGlSkX+RxViT3/bkpNxM7j57Bjn+WA2j++/CrohdQE1EgBq7UJmgZqaNAWhaxlFXX49nNR/BwfnbA7aJB8IoPj2LFh0db/t0hUawYv1xwJBeUiF7MhAp8dxw9IxxMT8jNxNj+XfG/O0pwrKIOPdOT8KMRvbBeMA2g9UhoWdUFPPjaXtw7shfG53gMGYH1pCUK3a9LSkLL90oNuy1o2nigLOBi49kPj8TMLA2RHTFwpTZBa51KukzrlqrLCg+hn6e96kVTcpr3rw9PJDgSKbr/+Nv7kJLgwvCrOimOZqupGCA3uvvSR8WYMrSH0DGU2vnK9hK8sr3EkIBKzTa7aov3pycH7xBmZW1hlobIbrg4i9oEo8oatXXjczyYld8XaYIjnxI1uy7poabOp0jQdfZ8I+55KfRiMzUVA5QWlS0vPIQOSS7dfWHEQi41O2Kp/b48OTnXNjMaWnYTI6LIY+BKbYJR25a2ZdKq+WWFh1pGPkVDELni+mpWcotQu9pby2IzuYBQpGKAJ9WNVbuPhwyCpFFsPWGdUQGVaJUKNd+XB27IUqzeYEVGbT5BRMaydOC6YMECOByOgP/69+9vdrPIhtSUNaJgSiWo1IRGcoGitOvSzDG9Vbepdb6r2tJfWhabKZVzCjdCOXVYj5ClxHwAKusa8Uh+dlCwmJ6sbnTbqIBKbkes1iWpwn2vgEt1cqdcg7k35+hqT7Sp3TTCqiX2iGKN5XNcr776ahQWFrb8u107yzeZLKbJ68Onxytwc64HL28vCfo76zKGFmrKVA2lQDHO6cDIPp3xrN8iLBEr7rkWTodDc2kotXm2ofKglSoPdE1NwNxJV6P+oleoTb0ykvHRnLEBi8AG9+yI7z3zoep8YCPSXsJVqRDJe26uk2u/PFA1G2WE2jSCiIxl+SiwXbt28HjE9mIHgPr6etTXX95tpbq6GgDQ2NiIxkaxhR1WIbXXbu22CqnfbvnDVhw/2/yZcMc1jwD5D4h4UhPw+MT+GNcvg319if9n77PiClTUnIc7TtuxHGgO4K65MkWxf6+5MgU9O7pxqlosOOuQ6MLg7qkAgD3HLuJ0VS12HrmIwT07qgpefz2pHx55owiA+Ojx6apaNDamBt0+rl8GRmd/F3uOVaK8ug448QXWzRwBd3w8dhdXwB0X/hkyktrB23QRQ3qkArj0HL4mTe3MSGoXkc9zk9fX/Bpr6pHR3o3R2Z3wP3cPxNPrvwoYVZa+V/kDwn+v/I+Zntj8QTP7uxjuM+lA8+fwfz5srkfs//2orDmPWav2YNldg5A/oGtU2ivheUM79p12RvSd6GMdPp/PsnMaCxYswDPPPIO0tDQkJCRgxIgRWLx4MXr0UF6Bu2DBAixcuDDo9oKCAiQlidWOJCIiIqLoqaurw913342qqiqkpgYPDkgsHbiuX78eNTU16NevH0pLS7Fw4UKcOHEC+/fvR0pKiuxj5EZcu3fvjvLy8pAdYUWNjY3YuHEjxo8fD5dLXZ5bW9fk9eGWP2zFzL51mPepE/XewFE4aRTwg1k3MD1Ahv9n77NvzuHeP38S9jEzRvfG23tPKIy6iY06FR48FTRyp4b0Tqod6Wry+vBJcQUefetznL0gf9Xv/5n58OvTIUYYu8p+dwsPnpIdNVXTZmlkcstXp/GXXcdk2yh6LLWk9rc+Yeh5Trljup0+LBrixa8/deLpO6+J+ohla3KfSU9qAu649kqs2HIk7ONfmTZUc+5869FtkRkFnje0Y99pZ0TfVVdXIyMjI2zgaulUgYkTJ7b8/7y8PFx33XXo2bMn3nzzTdx3332yj3G73XC73UG3u1wu234Q7dx2s3x69ExLekC914H6puAf+2OV9fjsm3Os2xqCy+XC8D5dkN4+MWxdzxnj+mPGuP66tpydmHclbsy9Aiu3F2PRuoOa2uwA8MS6r3Fj7hXCz+0C8N3+Hiy83YeHXmveBUouuJw76WpsOXwGPy/4/NLfLx//eGU9fl7wOZ774bUY1y+j+bh+392JeVfC4YzTteWwC8DIvl0xsm9XDL4qI2rbFzd5fXhi3de4IPM9ArT1ebhj1nsdqo8ZCdJnsvXn+u9fnJT9XWmtvO6ipt9vvdtT87yhHftOOz19J/o4SweurXXo0AF9+/bFkSPhr3KpbWPdVuOEWoAjt7At3IVAk9cXMriNczqQkRJ88SlKz2YSerd3lXZgG539XcXjK+3ApZaWY4XreyWR2MDDTpuCyC1Si2SJPW58QKTMVoFrTU0Njh49ih/96EdmN4UsjnVbjRUuoBM9iYqOIhnxvmi9KDFie9c9xyoV7xNupb4aao6lZwQvEheCdr+4VLPDmBrcnpooNEsHro8++ihuueUW9OzZEydPnsT8+fMRFxeHqVOnmt00srhhWenwpCYAqJX9u9aTSlumd7RQzSiS1i1h/ekJfvVu71peUx/+TmGEGh1VO3KqdwQvEheCdr+4VDsTIcpOI9FEZrB04PrNN99g6tSpOHPmDDp37oxRo0Zh586d6Ny5s9lNI4uLczrw+MT+aCjeE3bbSrqsJSCqqm35t3/WkdbRQrWjSOGCglDBbLiLEq3T5YB4EJXR3o1yoXvKCzU6CkDVyKkRI3iRGF0UOabVNwUxaibCn91HookizdKB6+rVq81uAtnYmH5d8EExkJbgwoXaiy236zmpxCIpkCs8UIY1RSdQUdsId5wPS4cBNy3fhrmTrtbdV1pGkUIFBbcOzMSfthW3PFYS7qJE74IX0QBucM+O+EDb2rKQo6MPXlo41lqokVMjRvDCbTTgAzBvkroLQZHNC+xwcWlk3jJg/5FookizdOBKpNWG/aVYvO5LzO6PS+WNHOiQ6ML0kVmYObaP5U+G0SIXyPk7VW3MYhCto0ihgoJrenRUNdJlxIKXSE0PS8KNjioJNXJq1Aie0oWEZNG6A3A6oepzEuqYy+4aZJuLSyPzliOVO0sUKxi4UsyRApT4VjsVVZ1vxPLCQ+jnaW+bE2IkKQVy/qS/6V0MomcUSSkoUDPSZeSCF5HpYa27x4QbHQ1FaeTUyBG8CbmZ8Hp9+HnBZ0F/07rivfX7mJHUDuUHd5pev9Uskb44IrI7Bq4UU7giV0yofmrNiMUgZo8iGb3gxejpYYkReYutjyGy0K1Dogtenw9NXl/YclpK9XX1fL/8L04aGxvxvsY0i1gRidxZoljBwJViClfkitEysqcnqIrEKJKafNVILHgxcnpYYkTeYutjiOSSnj3fiHte2hU235ffr+iJ1MURkd05zW4AkZG4IleMltevN6iSRpE8aYHH8aQlqJ5eltIcWgdR0nT1hv2lAbdnJIttaCB6v0iRRke1hCahVuEr9X1rSv0n4fcruqSLo8mDrsCI3p0YtBKBI64UY7giV4ya12/kNL4Ro0ia0kFED69wPz0ltNQQLQOmZdRa6vudR89gRsFenD0fnIcbbrqf3y8iMhsDV4op/vl8crgit5naAv9GLgbRO8WuZbpadEMAufvpLaGlVrj8RiC4jqto7mOc0wGn0yEbtEpCTfebnatMRMTAlWJK6xErf1yRe5lI3iMAeFITDKnjaiQt09VaRwrN2jM+3Mi0nlFrPdP9XPFORGZjjivFHGnEqmuq/lzKWKaU99gpOR4/uq4nAOCDWTdYrr+0BKHhckfl8kNFaqou/NsBNHm1bkobWqj8Rj25j3qn+43MVSYiUosjrhSTJuRmYnR2J3ywYT2W3pGHLmnJXJErQ2lkz9t0Ee+//09L9peW6WotI4WxuoLeiOl+rngnIrNwxJVilnQSvfk7mVyRG4LdVi5LQSgQvJYq1HS12pHCWF1Br7X/5I5jp88NEcUGjrgSke1oLdCuZqQwllfQs8A9EdkVA1cisiWt09WiVQ1ifQW92dP90SoxRkSxhYErEdlWJHav8j92rK+gj2T/hRKqxNi4fhlRbw8R2QdzXImIFHAFvfHC7XpWePCUSS0jIjvgiCsRUQhmT6nHEpFdz55e/xVm949yw4jINhi4EhGFYdaUeqwRKTFWVm2vKg1EFF0MXImIIszohUh2Xdhkt9JhRGQ9DFyJLMSuAQkpC7UQSUuOrNHHiyY7lg4jImth4EpkEXYOSEhe4cFT+HnB50E5ndJCJLULvKSFTUYdL9qESoylJgCojXLLiMguWFWAyALCrbTesL/UpJaRHk+v/0pxIRIALPzbATR55e4RLNzCJrXHM4PIrl2PT+TKLCJSxsCVyGSxEJCQvFALjXwASqsuYHdxhdCxRBY2qTmeWcKVGMsf0NWklhGRHTBVgMhkagISrmyPPaILloy+n5lClRhrbGw0u3lEZGEMXIlMZqeAhIvHjCe6YMno+5mNJcaISAsGrkQms0tAwsVj6nlSE3C8sl55IVJac/AvQmhhk4rjERHZEXNciUwmBSRK45YONAeIZgYkXDymjbTQSGkh0vxbcoRHrEUWNqk5HhGRHTFwJTKZ1QMSLh7TLn9A15ALkdSOVIdb2MSRbyKKdUwVILIAKSBpPRXvscBUfLQXj8VaHm2ohUhWOB4RkZ0wcCWyCKsGJNFcPBarebRGL0TiwiYiaqsYuBJZiBUDkmgtHrP7rlBERBR5zHElopCisXjM7DzaJq8PO46ewdqiE9hx9AzzdYmILIojrkQUkrR47KHX9sIBBASXRi0eM3MThlhNTyAiikUccSWisCK9mt2sTRhY5ouIyF444kpEQiK5eMyMTRjCpSc40JyeMD7HY/oCOSIiasbAlYiERWrxmBm7QpmZnkBERNowVYCITGfGJgxmpScQEZF2DFyJyBKivSuUGekJRESkD1MFiMgyorkJgxnpCUREpA8DVyKylGhtwhCNMl9ERGQspgoQUZsV7fQEIiLShyOuRNSmRTM9gYiI9GHgSkRtXrTSE4iISB+mChARERGRLTBwJSIiIiJbYOBKRERERLbAwJWIiIiIbIGBKxERERHZgi0C1xUrVqBXr15ISEjAddddh927d5vdJCIiIiKKMssHrm+88QZmz56N+fPnY+/evRg4cCBuuukmnD592uymEREREVEUWT5w/d3vfof7778f06dPR05ODp5//nkkJSXhlVdeMbtpRERERBRFlt6AoKGhAXv27MHcuXNbbnM6ncjPz8eOHTtkH1NfX4/6+vqWf1dXVwMAGhsb0djYGNkGG0xqr93abRXsP+3Yd/qw/7Rj3+nD/tOOfaedEX0n+liHz+fzaX6WCDt58iSuuOIKfPzxxxgxYkTL7Y899hi2bt2KXbt2BT1mwYIFWLhwYdDtBQUFSEpKimh7iYiIiEi9uro63H333aiqqkJqaqri/Sw94qrF3LlzMXv27JZ/V1dXo3v37rjxxhtDdoQVNTY2YuPGjRg/fjxcLpfZzbEd9p927Dt92H/ase/0Yf9px77Tzoi+k2bIw7F04JqRkYG4uDicOnUq4PZTp07B4/HIPsbtdsPtdgfd7nK5bPtBtHPbrYD9px37Th/2n3bsO33Yf9qx77TT03eij7P04qz4+HgMHjwYmzZtarnN6/Vi06ZNAakDRERERBT7LD3iCgCzZ8/GtGnTMGTIEAwbNgzLly9HbW0tpk+fLvR4KYVXdAjaShobG1FXV4fq6mpe/WnA/tOOfacP+0879p0+7D/t2HfaGdF3UpwWbumV5QPXu+66C99++y1+/etfo6ysDIMGDcKGDRvQtWtXocefO3cOANC9e/dINpOIiIiIdDp37hzS0tIU/27pqgJG8Hq9OHnyJFJSUuBwOMxujirSwrJ//etftltYZgXsP+3Yd/qw/7Rj3+nD/tOOfaedEX3n8/lw7tw5dOvWDU6nciar5Udc9XI6nbjyyivNboYuqamp/BLpwP7Tjn2nD/tPO/adPuw/7dh32untu1AjrRJLL84iIiIiIpIwcCUiIiIiW2DgamFutxvz58+XrUtL4bH/tGPf6cP+0459pw/7Tzv2nXbR7LuYX5xFRERERLGBI65EREREZAsMXImIiIjIFhi4EhEREZEtMHAlIiIiIltg4Gojt956K3r06IGEhARkZmbiRz/6EU6ePGl2syyvpKQE9913H7KyspCYmIjevXtj/vz5aGhoMLtptvDUU0/h+uuvR1JSEjp06GB2cyxvxYoV6NWrFxISEnDddddh9+7dZjfJFrZt24ZbbrkF3bp1g8PhwLvvvmt2k2xj8eLFGDp0KFJSUtClSxfcdttt+Prrr81ulm0899xzyMvLaymeP2LECKxfv97sZtnS008/DYfDgVmzZkXsORi42siYMWPw5ptv4uuvv8bbb7+No0eP4t///d/NbpblffXVV/B6vXjhhRfw5ZdfYtmyZXj++efxy1/+0uym2UJDQwPuvPNOPPTQQ2Y3xfLeeOMNzJ49G/Pnz8fevXsxcOBA3HTTTTh9+rTZTbO82tpaDBw4ECtWrDC7KbazdetWzJgxAzt37sTGjRvR2NiIG2+8EbW1tWY3zRauvPJKPP3009izZw8+/fRTjB07FpMnT8aXX35pdtNs5ZNPPsELL7yAvLy8yD6Rj2xr7dq1PofD4WtoaDC7KbazdOlSX1ZWltnNsJVXX33Vl5aWZnYzLG3YsGG+GTNmtPy7qanJ161bN9/ixYtNbJX9APCtWbPG7GbY1unTp30AfFu3bjW7KbbVsWNH30svvWR2M2zj3LlzvuzsbN/GjRt93/ve93wPP/xwxJ6LI642VVFRgddffx3XX389XC6X2c2xnaqqKqSnp5vdDIohDQ0N2LNnD/Lz81tuczqdyM/Px44dO0xsGbU1VVVVAMDfOA2ampqwevVq1NbWYsSIEWY3xzZmzJiBSZMmBfz+RQoDV5uZM2cOkpOT0alTJxw/fhxr1641u0m2c+TIEfzxj3/EAw88YHZTKIaUl5ejqakJXbt2Dbi9a9euKCsrM6lV1NZ4vV7MmjULI0eORG5urtnNsY19+/ahffv2cLvdePDBB7FmzRrk5OSY3SxbWL16Nfbu3YvFixdH5fkYuJrs8ccfh8PhCPnfV1991XL/X/ziF/jss8/wj3/8A3Fxcfjxj38MXxvd/Ext3wHAiRMnMGHCBNx55524//77TWq5+bT0HRFZ34wZM7B//36sXr3a7KbYSr9+/VBUVIRdu3bhoYcewrRp03DgwAGzm2V5//rXv/Dwww/j9ddfR0JCQlSek1u+muzbb7/FmTNnQt7nqquuQnx8fNDt33zzDbp3746PP/64TU5pqO27kydPYvTo0Rg+fDhWrlwJp7PtXrdp+dytXLkSs2bNwtmzZyPcOntqaGhAUlIS/vrXv+K2225ruX3atGk4e/YsZ0dUcDgcWLNmTUA/UngzZ87E2rVrsW3bNmRlZZndHFvLz89H79698cILL5jdFEt79913cfvttyMuLq7ltqamJjgcDjidTtTX1wf8zQjtDD0aqda5c2d07txZ02O9Xi8AoL6+3sgm2Yaavjtx4gTGjBmDwYMH49VXX23TQSug73NH8uLj4zF48GBs2rSpJeDyer3YtGkTZs6caW7jKKb5fD78x3/8B9asWYMtW7YwaDWA1+tts+dWNcaNG4d9+/YF3DZ9+nT0798fc+bMMTxoBRi42sauXbvwySefYNSoUejYsSOOHj2KefPmoXfv3m1ytFWNEydOYPTo0ejZsyd++9vf4ttvv235m8fjMbFl9nD8+HFUVFTg+PHjaGpqQlFREQCgT58+aN++vbmNs5jZs2dj2rRpGDJkCIYNG4bly5ejtrYW06dPN7tplldTU4MjR460/Lu4uBhFRUVIT09Hjx49TGyZ9c2YMQMFBQVYu3YtUlJSWnKq09LSkJiYaHLrrG/u3LmYOHEievTogXPnzqGgoABbtmzBBx98YHbTLC8lJSUol1pahxOxHOuI1SsgQ33xxRe+MWPG+NLT031ut9vXq1cv34MPPuj75ptvzG6a5b366qs+ALL/UXjTpk2T7bsPP/zQ7KZZ0h//+Edfjx49fPHx8b5hw4b5du7caXaTbOHDDz+U/ZxNmzbN7KZZntLv26uvvmp202zh3nvv9fXs2dMXHx/v69y5s2/cuHG+f/zjH2Y3y7YiXQ6LOa5EREREZAttO9GPiIiIiGyDgSsRERER2QIDVyIiIiKyBQauRERERGQLDFyJiIiIyBYYuBIRERGRLTBwJSIiIiJbYOBKRERERLbAwJWIiIiIbIGBKxFRBPzkJz/BbbfdFvXnXblyJTp06BD2fu+88w7Gjx+Pzp07IzU1FSNGjODe7ERkeQxciYjaoG3btmH8+PF4//33sWfPHowZMwa33HILPvvsM7ObRkSkiIErEVEUjB49Gv/5n/+Jxx57DOnp6fB4PFiwYEHAfRwOB5577jlMnDgRiYmJuOqqq/DXv/615e9btmyBw+HA2bNnW24rKiqCw+FASUkJtmzZgunTp6OqqgoOhwMOhyPoOSTLly/HY489hqFDhyI7Oxu/+c1vkJ2djb/97W8RePVERMZg4EpEFCV//vOfkZycjF27dmHp0qV44oknsHHjxoD7zJs3D3fccQc+//xz3HPPPZgyZQoOHjwodPzrr78ey5cvR2pqKkpLS1FaWopHH31U6LFerxfnzp1Denq66tdFRBQtDFyJiKIkLy8P8+fPR3Z2Nn784x9jyJAh2LRpU8B97rzzTvz0pz9F3759sWjRIgwZMgR//OMfhY4fHx+PtLQ0OBwOeDweeDwetG/fXuixv/3tb1FTU4Mf/OAHql8XEVG0MHAlIoqSvLy8gH9nZmbi9OnTAbeNGDEi6N+iI65aFRQUYOHChXjzzTfRpUuXiD4XEZEe7cxuABFRW+FyuQL+7XA44PV6hR/vdDaPNfh8vpbbGhsbdbVp9erV+OlPf4q33noL+fn5uo5FRBRpHHElIrKQnTt3Bv17wIABAIDOnTsDAEpLS1v+XlRUFHD/+Ph4NDU1CT3XqlWrMH36dKxatQqTJk3S0WoioujgiCsRkYW89dZbGDJkCEaNGoXXX38du3fvxssvvwwA6NOnD7p3744FCxbgqaeewqFDh/Df//3fAY/v1asXampqsGnTJgwcOBBJSUlISkoKep6CggJMmzYNv//973HdddehrKwMAJCYmIi0tLTIv1AiIg044kpEZCELFy7E6tWrkZeXh7/85S9YtWoVcnJyADSnGqxatQpfffUV8vLysGTJEjz55JMBj7/++uvx4IMP4q677kLnzp2xdOlS2ef505/+hIsXL2LGjBnIzMxs+e/hhx+O+GskItLK4fNPliIiItM4HA6sWbPGlB23iIjsgCOuRERERGQLDFyJiIiIyBa4OIuIyCKYuUVEFBpHXImIiIjIFhi4EhEREZEtMHAlIiIiIltg4EpEREREtsDAlYiIiIhsgYErEREREdkCA1ciIiIisgUGrkRERERkC/8fWVZ1FlWkEykAAAAASUVORK5CYII=\n"},"metadata":{}},{"output_type":"stream","name":"stdout","text":["Correlation between Input 2 and Target: 0.0469\n","Weak or no linear relationship detected.\n","------------------------------\n"]},{"output_type":"display_data","data":{"text/plain":["
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0J6xIBCn04mhQ4cCgF85bmtrw+HDh/0LM63ExMSEjZ8PPvgAJ0+eJLq/a9euyMnJwZ///Oegfv3FF1/g0KFDQdf+7Gc/g9frxfLly8Oec/78+aA2SEhI0H1KG4cTbXCLK4cTBTz44INoamrCjTfeiIEDB6K1tRX//Oc/8f7776NXr16YM2cOgHZ/u9/85jdYvnw5rrrqKtx0001wu93Yu3cvunbtiqeffhpXXHEF0tLSMHv2bDz00ENwOBz4y1/+IqkYjxw5Eu+//z4WLFiAUaNGITExEddddx369OmD1NRUvPTSS0hKSkJCQgJ+9KMfISsrC6+99hqmT5+OwYMHY86cOejWrRtOnjyJbdu2ITk5GZ988onZ1Ydnn30W06dPx9ixY3HXXXf502GlpKQEnSY1cuRIAO2pwG699Va4XC5cd911SEhIYJIOi5S4uDgUFBRg9uzZ+NGPfoRNmzYhPz8fTzzxhH+rOSUlBT/96U/xpz/9CQ6HA3369MGnn34q6UMpftdDDz2EqVOnIiYmxp+WKpSzZ8/isssuwy233ILBgwcjISEBhw4dwptvvomUlBQsXryY6Bt+9rOf4Ve/+hV+9atfIT09PcwC/8tf/hK1tbWYMGECunfvjuPHj+NPf/oThg0bhkGDBgEATp48iUGDBmH27Nm6jkb98Y9/jGXLlmHOnDm44oorcOjQIbz77rthfsRK/OEPf8DMmTMxbtw4zJkzB3V1dVizZg1ycnKClNmrr74a9957L55++mkUFRVhypQpcLlcOHLkCD744AM899xz/ly2I0eOxIsvvojf/e536Nu3Lzp37uzPS8zhXLJYl9CAw+GwYtOmTcKdd94pDBw4UEhMTBRiY2OFvn37Cg8++KBQVVUVdv0bb7whDB8+XHC73UJaWppw9dVXC1u2bPH/fefOncKYMWOEjh07Cl27dvWn10JIeqWzZ88Ks2bNElJTU8PS/qxfv17Izs4WOnToEJZ+6cCBA8JNN90kdOrUSXC73ULPnj2Fn/3sZ8Jnn33mv0ZMLyWmd1JDTFX0wQcfKF4nlQ5KEAShsLBQGDdunNCxY0chOTlZuO6664SSkpKw+5cvXy5069ZNcDqdQamxWKTDevbZZ8OuBSA89dRT/n/Pnj1bSEhIEMrKyoQpU6YI8fHxQpcuXYSnnnoqLKXTf//7X+Hmm28W4uPjhbS0NOHee+8ViouLw77//PnzwoMPPij84Ac/EBwOh2JqrJaWFuHhhx8Whg4dKiQnJwsul0vo2bOncNddd0mmCVNi3LhxAgDhl7/8ZdjfPvzwQ2HKlClC586dhdjYWKFHjx7CvffeK1RUVPivEestMLUVCVLpsB599FEhMzNT6NixozBu3Dhh165dwtVXXx2Ujkqtj7333nvCwIEDBbfbLeTk5AgbNmwQbr75ZmHgwIFh177yyivCyJEjhY4dOwpJSUnCkCFDhMcee0w4deqU/5rKykohNzdXSEpKEgDw1FgcjiAIDkHQ4PXP4XA4HEu444478OGHH0q6WnDsx7Bhw/CDH/zAlLReHM6lAPdx5XA4HA5HJ21tbTh//nzQb59//jkOHjzIj2rlcBjCfVw5HA6Hw9HJyZMnMWnSJPziF79A165dcfjwYbz00kvweDzUh2hwOBx5uOLK4XA4HI5O0tLSMHLkSLz22mv473//i4SEBOTm5mLFihWShxhwOBxtcB9XDofD4XA4HE5EwH1cORwOh8PhcDgRAVdcORwOh8PhcDgRQdT7uPp8Ppw6dQpJSUn8+DwOh8PhcDgcGyIIAs6cOYOuXbvC6ZS3q0a94nrq1ClcdtllVheDw+FwOBwOh6PCf/7zH3Tv3l3271GvuCYlJQFor4jk5GTD3tPW1oa///3v/uP7OJEHb8PogLdj5MPbMPLhbRj5mN2GDQ0NuOyyy/x6mxxRr7iK7gHJycmGK67x8fFITk7mgzRC4W0YHfB2jHx4G0Y+vA0jH6vaUM2tkwdncTgcDofD4XAiAq64cjgcDofD4XAiAq64cjgcDofD4XAiAq64cjgcDofD4XAiAq64cjgcDofD4XAiAq64cjgcDofD4XAiAq64cjgcDofD4XAiAq64cjgcDofD4XAiAq64cjgcDofD4XAiAq64cjgcDofD4XAiAq64cjgcDofD4XAiAq64cjgcDofD4XAiAq64cjgcDofD4XAigg5WF4DD4XA4HI698PoE7CmvxfdnmtE5KQ6js9IR43RYXSxVIrXcHHK44srhcDgcDsdPQXEFln5Sgor6Zv9vmSlxeOq6bEzLybSwZMpEark5dHBXAQ6Hw+FwOADalb/739kfpPwBQGV9M+5/Zz8KiissKpkykVpuDj1cceVwOBwOhwOvT8DST0ogSPxN/G3pJyXw+qSusI5ILTdHG1xx5XA4HI6tEBWMjYcqsKusxhYKh9cnYFdZDdYXnbRNmVizp7w2zGIZiACgor4Ze8przSsUAZFabo42uI8rh8PhcGxDQXEFns7/CgsGAo999CVavA7L/RQvFd/J78/IK39arjOLSC03Rxvc4srhcDgcWyD6KVY22MdPMRJ9J7VahzsnxTG9ziwitdwcbXCLK4fD4XAsR81P0YF2P8XJ2R7T0hvZsUxq6LEOj85KR2ZKHCrrmyW/2QHAk9KeYspORGq5OdrgFlcbcin4UnE4HE4gdvRTtGOZlNBrHY5xOvDUddkA2pW9QMR/P3Vdtm2UdJFILTdHG9ziajMuFV8qDofDCcSOfop2LJMcrKzD03Iy8eIvRoTNQx6bz0ORWm4OPVxxtRHiajlU8Iir5Rd/MYIPPg6HE5Ucq24kuu5I1VnsKqsx5USkSPKdpLEOj+3TSfFZ03IyMTnbE3EnUEVquTl0cMXVRJSOootEXyoOh8NhQUFxBVYVHiG6ds22o1iz7agpO1GR5DvJ2joc43SoKrh2JFLLzSGHK64moeYCwHK1zOFwOJGCuGinxYydKNF38v539sMBBCmvdvOdjCTrMIejBx6cZQIkDvOR5EvF4XA4rFBbtMth1olIou+kJyVY4fOkxNnKfUu0Dsup0A60G0vsYB3mcPTALa4GQ+oC8MefXk70PL5a5nA40YSexbhZO1GR4DsZSdZhDkcP3OJqMKQuABDAV8scDueSg8Vi3IydKNF3cuawbhjbp5MtFcBIsQ5zOHrgFleDIRWo1Y0tfLXM4XAUgzijEbUAKBL4TtRFIsE6bASX2ri5lOGKq8HQOMyP7dOJ56EzCC7UOJHApZjHOXCLmxY7RfXbiUstsv5SHDeXMlxxNRjadCqX6mrZSLhQ40QCl3Ie52k5mbhnfBZe3l5OfA/fieIAl/a4uVThiqvBaHGYj7TVsp2tmWpC7flZw5GW4Mb3Z5qREc+HA8ca7JDH2cpx7PUJ2HBQ+ThSpwMITB7Ad6LsRWj/Gd49yZR3Wj1uOObDZ2oTiOaj6OxszVQTagAwb+0B/2TojhHwzGigsLQK04d2N6uYHI7leZytHsckKbF8ArA4dxAykty2WyBf6kj1n55pbiwYaOx7rR43HGvgiqtJRKMLgN23aEgnw1Dmv18EhzPGcsWbc+lgZR5nO4xj0u/KSHJj5rBuhpaFQ4dc/6lqaG9TIw0BPP/5pQlPh2UikZBORQ2vT8Cushp8fOAknvj4kKI10+jE4GroEVZWl51zaWHVqUckuxJmjAV+6lNkQtJ/Vmw6bFj/4f3m0oQrrhxiCoorcOXKrbjt1d2Y/34RahvbZK8N3KKxCq3Cyg5l51xasDj1SFxUri86iV1lNUTKAs1Wq5HwU58iE5JdrcoG4/oP7zeXJtxVgEOE3HaQGlZu0ejND8m3lzhmofXUIzEgprCkEh8XnQxaTJL4qNplqzX0+wPh2QPsi9X9h58WdmnCLa4cVZS2g9SwcotGFGoAZFfkSvDtJY6Z0J56FLgD8vrOY2E7IKKPakGxfLS+nbZa+alPkYcd+o8Z/UbLbgbHOLjFlaMKyXaQFKnxLsu3aOQyOoSm1gmEby9xrII0iJNkB4QkHRBtnmmjEb9/99HvUV26G2/MHoUxfTtzi5lNIdnV8iQb33+MDH7Wm3HDzukiIxWuuHJU0brNc7qpDVtKKi23lEgJtbrGVszNaz+pR0rg8u0ljlWo5XGm2QFRSwdkx63WGKcDo7PSsbEUfJK3OST9Z+H0gaa0oRH5z7Vk3AhUVI9VN2LtnhOobGjx/90u6SIjGe4qwFFF6zaPaO2xw7ZKaEaHGUOlt5cAYNUtw7hQ4dgWLTsgSotPvkXP0YNc/+mS3P7vSYO6WFEs3WjJuBHovvPwe0VYVXgkSGkFyFx4OMpYanF98cUX8eKLL+LYsWMAgMGDB+PJJ5/E9OnTAQDXXHMNvvjii6B77r33Xrz00ktmF/WSRmuQk92TP4daYjPiO6C6dHfEClrOpYGWHRC1xWc05pnmmIdU/xnePQmbCzZZXTTN0B5uQBrAzE/00o+limv37t2xYsUK9OvXD4Ig4O2338bMmTNx4MABDB48GABw9913Y9myZf574uPjrSruJYvSdhAJdo7OD9xeamtrw8ZSiwvE4ahAswNC46MaaUdNc+xFaP9pa5NPl6iGHfxCaTIm0AYwazHq2KFO7IKliut1110X9O/f//73ePHFF7F7926/4hofHw+Px2NF8TgByAU5kcCj8zkcdtDugHB/bU4kYfXxwyI0GRO0BjCTKsd2qRO7YJvgLK/Xiw8++ACNjY0YO3as//d3330X77zzDjweD6677josXrxY0era0tKClpaLPiUNDQ0A2ld/elaAaojPNvIdVjNxQAau6XcV9h2vQ/XZFqQnxOI3Hx/C92daZCOSuyS3bxlFQr1cCm0o4vUJ/nbMSHRjZM80v3Kj9LdIIBLbkbbOn8wdgPnvFwGQ3wHxJMdh4fSBmDggI2Lqwl8PDU0AgJbWVotLxNGK2OdaWluxp7yWqG8XllZh/vtFEAC4Yy7+Xnf2HB5Zuw+rbhlmmivX8O5J6JnmRlWDfMYNcX7b/FUl3DH0sRwZ8R1Ux6aVdWK2LCV9j0MQBEsjZw4dOoSxY8eiubkZiYmJyMvLw4wZMwAAr7zyCnr27ImuXbviyy+/xOOPP47Ro0dj3bp1ss9bsmQJli5dGvZ7Xl4edzPgcDgcDofDsSFNTU2YNWsW6uvrkZycLHud5Ypra2srTpw4gfr6enz44Yd47bXX8MUXXyA7Ozvs2q1bt2LixIk4evQo+vTpI/k8KYvrZZddhurqasWK0EtbWxu2bNmCyZMnw+VyGfYes6CxABWWVmHFpsOobLi4jSFaeyIp0CkS25DWUhe4eg9EyXdZfJqZ1g49RFI7KrUHoF7nkWQdlyorAOw7XofPD3+PP//ruP9at1PA8h/68OS/nWjxOSKm73EusuWrU2g7XoTFF9pQRK5v7ymvxZ1v71V97huzR5maY5tkfvP6BFz97DacPqduMaSRp6R1khbvQl3TxXezmn/NlqUNDQ3IyMhQVVwtdxWIjY1F3759AQAjR47E3r178dxzz+Hll18Ou/ZHP/oRACgqrm63G263O+x3l8tlSsWb9R4jofWnmT60O6bkdIsax/FIaUPadvL6BCzL/xrNXvp2cQBYlv81puR0i5h2tXs7qrUHSZ27AIzrb3+FTqqvpsa3t81p/4Qb/o3NPgdavY6I63uXOl6fgJWbj2DBQKDF50BLSB+X6tvVTefDrpOiuum8qeOaZH77rLgCVWfPg+SMRhrfVNI6qTwT/O4TdS14IO8gs3R2ZupPJFiuuIbi8/mCLKaBFBUVAQAyMy89Z2Sz0JJwGeARyWajpZ20BhAA9k9tFonQptuhwU4RyHJ99XQTmT8b73v0WN3+e8prgyyUoUi1qR2Oj5VDaX4TMwookejugOUzB8OT0pGqLbR+a7Sn3LJUcV20aBGmT5+OHj164MyZM8jLy8Pnn3+OzZs3o6yszO/v2qlTJ3z55ZeYP38+xo8fj6FDh1pZbCKsFhxaUEu4HM0DIZLQ2k4s0pKJqV/Eian2QpAerUC+lBHrbxNhAnLadrNTBDJtmiAl7JxWz07Yof1pUkmJkGTLsONR3CQGgbMt5+FJ6Ui98NKaQx24uDhYteUbjOubEVXy2VLF9fvvv8ftt9+OiooKpKSkYOjQodi8eTMmT56M//znPygsLMTq1avR2NiIyy67DDfffDN++9vfWllkIuwgOLRgpAWIIw/tIkdrO7GwVByrbsKVK7dKvj8S+rjVSMkGNWjaTeuOiVHosfKHwtPqqWOX9tdiPSXJF36uzWuLY8QD0aKkk6I3hzoArNl2FGu2HY0q+Wyp4vr666/L/u2yyy4LOzUrEigsrcIDeQctFxyBkCpGRg5AjjRaFjlbSiqJnh3aTnWNrXA6AC0n8DoApMS7sLrwG1nhWWFhH48ESE/WEaE5PACw544JC1lBWw+XKnZq/9FZ6fAkxwFolPy7XJuK+cIXrjsk6UpS39RmOxljtIuDXA71TgmxqGkkTxdnpQ7CGqfVBYg2nt54mOpsY6MJPTv5tld348qVWyXPSbazj1E0IioyoRYppbOsC4or8MbOY0TPD2ynguIKzM3bT6S0hk5pgSt9kuMMze7jkQDtlrnYBjSHB9BY4s1Cr6wgqQevT8CushqsLzqJXWU1l2zfs1P7xzgdWDh9IABpeQLIt+nkbA/iOkirJlbNo0qI2/lyo9QB/S4O03IysePxCVh79xg8d+swrL17DHYtmqj43lDsWHda4YorY6oULAxmTxy0ipEZA5DTjpp1BAgXMCRBACKB7USiNDkdwAuzhuOlX4yAJyVY2fCkxGH+pH7EwTRmK0eRAO2WuScljtoyomfHxCjlT02mqNElOQ7PzxqOlI6xkmWjWZhHO3bbMRNTMXVJDpcnSn273X9eOkAbsGYBpoS4nQ/QK+m07xnbpxNmDuuGsX06IbaDU/a9ctit7rRiu6wCkUphaRXxtWYIDi3bRmr+NAKAxbn8+EgWaPFTpVF+AgUlyX0+AUhLcGNsn06YnO0Jcy359MtTZB92Ae5OEgxpfdw+tiem52RqCqTQumNipE8+rY+eeM3/+1FPQPgWj00diOX5pZJlA2C6P6edg27tumO2+ZHxOPDdGeI6s5sCToLcdr7HYL9SrUex26nutMAVVwZ4fQJWbDqMBQPJrjdDcGgN4FEbCMvzS+B0IuJ9ZKxGi3Amveeucb2C2of2XVKpX2j7bLS6k2hVXEjrY3pOpubAR7UIZCm/QjOCeeRkSnge14sT/cQBGdi48Vs8+kFRWJ5bsWwp8S5T/TntHnSrpf3NgDZVol0VcDWm5WRKLvqNXtgEvnfn0f9izbYy1XvsVne0cMWVAWo56wIxa6tdz6p1Wk4mfD4BD+QdCPsba2uGnS0YRqJFOJPeMynbA+Bi3R6pOqO7TDRpWaLVnUSP4lLXKL/1GfgsPfWmZN2U2rI0M5hHblIHIDn+m1ta/eWQKhugnAeWdQYUu0TrK0Hb/nbFrgo4CVblMxffOzorHR/tPxmRdUcD93FlAI3Z3aytdj2rVq9PwPL8UsnrWTp4X8r+aVr8iUn8BT3JbozOSg+qW7UVOInvcqAfl9qzImFypEVLIJ2I0ngKhIVsEK2bUn7KocoV6a7Mqi3fMPF7DfXRi3E6JH8D2o+BZQGLLVEt/uhWQdP+dsUsn9Fo5FKpO25xZQCN2d2srXY9q1Yz8rlGggXDSLRYR0j8BZvP+/BMQSle2V5OFMFOI8zU3EjstG3KAv9BC/XnsDy/VLNlktQ3OS0hVneZAfItS1Klzoo8kNVn1S3UJGQkuLGrrEbXjk6k5be2asuaJVb5jEYDl0LdccWVAWo56wIxSzHTs21ktHO8nfINWokWAUOS5/Dl7eXEZaAVZoGTYjSfnEVzUICa4mJFsAnJliWtn1ug7DJaMcpIdKNax/1i3uFHPzgY5MalRfmOxGChaDiCOxoUcKuI9rrjiisDxJx1reX7VNNSmKmYaV15Ge0cH2kWDCPRImAmZ3uwZEMJgHDFlXSzct61fTUfA2jmpGiFDzTtQQEicoqLXYNNaI+TFGXXonWHsGTDV0Epi1hbY0f2TMPmUvk0Pw60B3fVNbVJLswFiD6wwWNEi+HAru13KRANCrhVRHPdccWVEZMGdcHG8vacdcfrlLe5zFTMtChGRjvHR6IFw0hCBYyYU1OuvWiCAeURbL8CtyKKm/aggEDkFBe7BptoOU5SAFAnYenXY41VW5zI7Rg9fdMQAAjrI12S3Wg+75PckdBiOLBr+2nhUg2G5UQXXHFlzOZHxmPN598SpaQwSzGjXXkZHZ3KLRjykChrLPrNmm1l+Gj/Sdv6PFnlA017UACgrrjYOdpbax7IUESFcOG6Q1iyoYR4e16uvz+ZOwAAsOqWYViW/7XijlGoovyvb2uw+rMjimWlMRzYuf1osHs6L1K48s3hiitjYpwOjOv7A9vnUlMb/EY6eEeTBYMlpMoaq35jZSCcUv+z0geadlFAqrjYOWBCSx5IKWi355X6+/z3i7BydPtO1pScboqyKnBhXlBcoai0BhLY1lbKQxq0Km3REgxrlfLNlWV7wRVXA7C7YkY6+Fk5eEsN+miwYLCERlkjyQlKglWBcGr9zyofaK9PQPUZurqVU1yk+rwdAibkJmDSPJBakOpnJCmmxPK6XGQ7RjRHIgMXDQdmy0OtkJRTqn0BREUwrFXKd7RYqqMJrrgagNVbS0qrQ9rBr9fBW2nQ28GCYRdIlbXd39YQ5QS9+6osfPplher2r9mBcCT9r+W8j+hZLF1taLIIpCe4sPjHg+FJllZc1CY6M+pZSgZsKalUnYC1+L2SENrPSPo70J7PdVz/LkTvoHHzEPMWmy0PtUJSTiDc3zczJQ63jrosIoNhA/twRqIbSzZ8ZbryHS2W6miDK64GYdXWktKkOTnbY+rKm2TQ73h8At+CAbkStqushmhynjCwCxZOH4RVW77Bmm1Hmb1fD6RW5T/+5HKi57FymSDNIiD2yj/cOER2/Fo50YkT/ZaSSvyt6BRqG1v9f0uNd0kGK0mVS052ZabE4VybF/VNbZoVWrGfkfY3mnyuNH1YTNIeCZZIknGzaN0h2aC5VYX0rhNWQ7OQBIxRvqMtbWM0uTtwxdVAzN5aUps0H5nU37SVN82gt9MqXw6jBz25EkamMnx/pvmCv3UGkeJqhr81qVUZDqimaUpPcGFkzzTdZaLJIqC26LRyolOb6OWOR5Url5zs2lJSifvf2a+5nGI/I+1vGYlu6merMX9Sf0zLyVRdBNrFEkkybqSUVvFvpNglGFZrOjqArfIdTWkbo83dgSuuBmPW1hLJpPnmP8kS09MMfjmFjg96Okj9osf2ziAKnjlW3UT1XDP8rWmsbGrb1bWNbbj62W2624B0e3lx7iDcMS4rKIAstN9b1ef1TPRK5ZKSXf4DMD46hNPnpJUlKUL7GUm/BEC1OCHJS+tJdmPehL4AzE3LJ+d7SrIYNtoSanXMBUB2Sh0JR6rOYFdZDRPDQrSkbYxGdweuuEYJJJOmnNUlFNKVt5JCZ4WfIsDOMio+p7CkEq/vPBb2d9aDntQvekyfTkRJ41cXfoMBnkRMy8m0xN9aqh1o0qCN7dNJNU0TizYg7X8ZSe4gP3Gpfj8jx8P0nSToyTsbCmm5puVkIsntws9f/xfR9VL9jKS/i9eRQvLMJdcP9j/TrLR8Uv0lNd4FIFgmyy2GjbSE2iEYltYtQIk128qwZlsZE8NCNKRtjDZ3BxGn1QXgsIF00knt6FI8jSaTcOUtruJChY2oTIgWPzVYDvqC4gpcuXIrbnt1Nx5+rwi3vbobV67cioLiCqrnFJZW+Z8jpbQCFyfFpZ+UwOtjE8IiWrM8KcF14kmJ8ytn4uRM8kaxbCTPZYlcO9Q1tlw4Glma0P43LScTX/z6WqQnxEpez6INaCcnpX4v11e0vpMELXln5aApl7iAIpnq5PqZUr9cdcsw4rKQPjO0DKKFloU8lEOuv5xuagszJIiyM1ReqZVTD0bJAFLk6kcvcnUpIh7ysr7oJHaV1UjKDzP6h9HQ7AJFEtziGiWQTjpzxvXC6sIjuqxvJKu49/aegCfZjaqGFlO2qFluh8x/vwjNXvVpgnTrl8YKTOIXPS0nE/Mn9VMMuggtm1n+1krt8EDeAcTHxkjeJ9f/9h2vCwoyCkXv9juNKwVJCienAxAEafcGI7ZkWVhvtZSLJPvAXeN6YVK2R1N/93nPYyOZZxPxM0PLYHT2F1pruJwFjKScKfEuTUFzf/zJ5RjXL4PyLjaw3C0IRcmaSOr6ZXV2IBZEi7tDKNziGiWQrg7nTein2/pGuoq7bXQP/7tDywKwG/QkCgWJVU78O60g/f5Ms+wKXosVWPQtnDmsG8b26SRZR70yEojLRvNcKUisE+J1au3Q1OqVvDc13iXZ/wpLKonKqFXwipMToN5PSaybPuHipKn0LFbotd7qKZecdTMzJQ4v/WIEFl83mKifae2XLJ5p5G6EFmu4nAVMrZwrLhx/S1tz1YxyQmtB6yl1mSlxePeuH2HetX0Vr5WqS7WdwoLiiiB5l9IxFs/PMm+3ijXR4O4gBbe4Rgk0q0O91jdSJaFXRoIpKcFYBcXsO16n6f3Hqhtx5cqtYSv46y/PxCvbyw1xirfSP0/Of0zPtrW7gxOTs4N9RAuKK0zZfidNXUfa7+8c1wubiitNSYNHEpCkhN5yWZ2UnwVGfYMeK5bUvWrl1HJ0r5UKi55T6sb1yyBWusX3kKYVW7LhK1Q2XHx2ZkocFucOQlqCO+L6uJ2Cc1nCFVebQbKtLHcNTe5YPdkOaINsjJ7YWG2H0OSMBNoHfWq8S3LLvqK+GS9vl97rZOEUb4ZAonW/0DNRVza0BC0sSE9B0vud4lhqOe/DH396OSC0W6Gk+ilpv5+c7cFvcrNNUeb0HBgQmikhEBr3FquS8rPEiG/QoxTK3atUzkDFtrKhGcs//Qq1jdIBuXZQWGjrJ3Qeo128a00rVlnfjLl5B/DiL0Zg5rBuVGW2mmhwd5CCK642gsS6pXaNGRYQWqXJ6ImNlfUxI9GNasJ3irXJOgURKVb658kp3nqtN4GKL6n1VoD271QaS1JtQtPvzVTm5BasagRmSggk2nI+WoUWa7hehTKw33V0Of05d+2osJDUj9IpdbTzkNaFdSRH3wPWHYZkJNzH1SYo+d7c985+PFf4DZZ98hXuU/HPAYzxGQuExi/QDFhFf4o5I0kjpR+Z1J84xZgceqyUVvrnSfmP6Y1+DlR8abbltXwnia9bKHbr94FMy8nEjscnYO3dYzDv2j5E90gtNLTUC0capf4iBes+ZHQ2EVLfdznUxpMD7afU3Thceh6jHY96FtaRGn0vEigfnrt1GNbePQY7Hp8QkUorwC2utoAkqEUtgtzsFaGdVnGsrI+Bf5d6joB2RWnyhUjpT788pbvseq2UVvvnhQZ/adm2lrIy0WzL06Int6Gd+n0o4oJ1dFY6Ptp/ktqNJFpzPlqJXH+RyuNqRB8ySj6wssrrHU8094sLaz2ptyIt+j6QaHDpEeGKqw1gkYuRduuZRaJ+OwVmsFQoVt0yDMvyv1Z9jl6lU08OQJr209LWWt0vxHYIDXBQI3RhYaQPr95gPjv1eym0LuSi6bQ7OyHXXwCyk7P0wlph0ZJ6UEkG6R1PNOnPFucOwgN5BzR/e6RF30crXHE1GBKlgeUqjuRZelfLgd+UkeCmz8FiEKwUikmDumBKTjfV5+iN6F6cO4i5b2Zo+2ltaz2K47ScTCTFufDz19RPVkpPcOEPNw4JK4uRPrwsgvnsbr3QspCL1pyPdkCuv+jpQ6xOCaR9J6lVXqSwtCrMEBAqg/SOJ9L70xLcmp5vh2A2MwjtU8O7J1ldJEm44mogpEoDy1Wc2rP0JupXO57P6iAOVgoFyXP0RHQD2oQoTfvpaWu9iiNphobFPx4sWwajtuVJx9uRqrPMzj23AtqFXLTmfIxGrAqgo7HK/7BHMgDpA11YH5lNipZFl9aFshULCz1I9ameaW4sGGhhoWTgiqtB0CgNei13ANmKkDRRv5wPm9w3BWKVQLIKrRHdAL0QpbV26PVX1KM4kio3SkfAimVgvS1POt7WbDuKNduOWr4Y0wPNQi5acz4aiRXKCctTAmmhscp7fe3WOjv5TGtZdGlZKEdaZg65PlXV0F7+wtIqTB/a3fyCycAVVwOgDXLQa7kjXRGS+NJW1DdjzdYjeHhS/6DfSY/nM0Mg2W0lOznbgyS3C7u+rQbgQEpHF36/sVT1PlohShvpz8JfUaviyFIJYr0tTzveIn0xRjpeojXno1FYoZxYHUBHY5VXO9BFSQYZJeNJ5dIff3K5bD5nNaxcWGiBxKC1YtNhTMnpZpuxzxVXA9AS5KDHcpcS78KKm8L9BEMhXS2vKjyCAZ6koOfRBJAZGcRht5WsVHk8yW6kKpwdrtVyZYQPIsm1WhRHuytBNOMtkiPqacaL1ycgpWMs7hzXCx8XnQxKXm+HrAl2wirlxOoAOpoF6adF/yF6ZqgMMlLGk8qlcf0yND3f6oWFFkjm9soGewVlcsXVALQqGKHWrWPVTVhV+I3qczq6YojSAtFY+EIHlxbfINZBHHZbycpvr7T4f2OptBnhg2ikv6KdU0cBweNt59H/Ys22MtlrIzGintYfOrSd0hNiccOwrv70b3aZaK3A6xOw+9uaC/lKffjL7uOWKCdWB9DRLEhJD3QJlEFmyHij5JLXJ+CtneURl5nD6j6lBa64GoAeBSPcuiUo5nAFyAcCTR670GdqUXBYKkV2W8mSlCcl3oW4DjGobGAjHEmtHT6fgO/PNCM9IRZ1ja2W+itGQuqosX06RaTwVoJmvGwpqZRUFuoaW/HmzmO2ai8rKCiuwMJ1h4gPGzFSObFDAB2p4jeyZxo2l8onnQmVQWbKeNZySS1oORQ7yRE79ClauOJqACz9+3plJBC9k3TL96nrsnHfhWMAaZ5JE0BmhFJk9RaZlvKcbmrDu3eNgNPpYCIc1awdAoBzbV78/HXlNFRyVl+j/MrsnjoKiEzhrQTpeNldVmOrBaHdKCiuIJaXoajJZC3jzS4BdCSKn/jfcuUEgmWQ2TKelVwiCVoOxWo5EprS0pMch6oG+bldPHLXLnDF1QBY+vexnlCn5WRi/qT+RC4Igc8kDWgxyn/RbhYx0vdUN7Zg5rBuzN6rdBJPXVMbkVVIyuprN99hs7GLQsAK0v6569tqWy0I7YTXJ2DJhhLN9yvJZNLxJqXc2sV3PFDxkypnYWmV7L1SMshuMp6E1vM+PPHxIV2nBJqNVN9LjXf5F6pSfWrh9IG2WrhyxdUgWPnRGDGhzpvQF2v3HJc92UjumSQBLUb5L9rNImZleUKtHRmJbjz61yLFe9ITXFj848H+lXOgELKb77AVaF1sSk3YgDknIilB3u/IymUnZcEs9pTXBrn5kKImk0nHm5JyayffcTlF6FxLK54ZLX3P4tyL5RTH0JGqM0TvM1LG01jBC4or8MTHxUFBjErYIShVru/VXzB4pMS7gowfXZLjADRi0qAu5hWSAK64GggLPxojorNjnA4suX4w7r+wBUbzzDCl6cLJWdVntaUOIcVuFjGryxNo7dhVVqN6vGptYxs8yXGSaWf4VnE7tItNuQkbCD6D3grLNWn/HNunE9ZsO6r6PKu3Nq1Aj7IuJz9JUg8tXHcIpRUNeO6z8HYJVG53PD7B8gWSnCJ0uqkN7hjpexwAlueXYGpOu381qW+o0TKV9kRCWvcAq4NSSWR9XAcn3v3lj/zz+fDuSdhcsMnkkqrDFVeDYeFHY0QUpJ5nWuGzaGZ6pT3ltahuOh8xOS/1bLHZzXfYakgXm0oTdihWWK5J++eY3p1stSC0A7QWwEDkjjAWIUk9dLqpTVJpBcIXk1aOSdLc3qGIMmXN1qNYXfgN0f1Gy1SaXSct3704dxDuGJdl6eKfRNZXNrTA6XD43dva2sisyWbDFdcIwYjobLtHfIdidHol0Sfrzrf3ouXCEYVK1jK7pHvS47YQiX5lRqO2MKOduKyyXJP2T7sswOwAbXR4IJ0SYrFr0UTEdnDKXsNiHNllMUmT21uKN3eWE48hI2Uq7a4TzXeLCz+rlVYgumQ9V1wjCCMsnZEQ8R2IUcp2QXEF5r9fhJUhPllq1jI7KP+0bguBflzVZ5RdDEQuxa1iObRM2FYpGyT90y4LMKvRsv0r4gDw+xtzFJVWgO04slrB0Pv+0+fUrXnzru2LcX0zDJWptLtOtN9tl4Wf3eJE9MAVV07EwVrZ1uvnabXyT+O2IGVRcjoAn8xsfSluFauhZ8K2Qtkg6Z92WIBZidZtb4DOh5kmraAaVisYWt/vAJDS0UWkuPbrkmi4bKW1RJJ+t5rbiNlYHZfBEq64ci55xBW3XDCBXbbmlCCxmslZlJSUVsA+FgO7oEdhsFrZUMLqBZiVkFrRbxzWFZmpcUiLdyMjyS2ZpUMJ0rSCSthFwdCihIu1NGdcL9WDdQBzxgutJZLku0ncRszGTnEZeuGKK+eSJ1p8f5SsZiQWpVDL66W2VUyK1gnbDsoGK4w6rMIqSMf2NQM7687LTJJWUA47KRgkilAookyZnO3Be3v/YwvrH60lkuS7SdxGrCBa3IK44sqJKrRMqNHk+yNnNSOxKPmE9ujXjCR3VCgjRkFrNbOTssGCaDyswmwZIC4yd39bg7nv7ifaNgfsp2AoHYgS6xQAeP2/pSe4sDh3kO2CArVYIiNZAQzse7vKagAIGNs7A2MiaLeFK66ciCVUSa1rbMXyfPoJVVxx1509J/n3aLCWkVqUMpLcTE/6ilbkJq60CyfQBKbFioTJjJRoPazCCv+/GKcD4/pmYMXNQxRzaj8yqT96ZcTbdjEZutNzrLoRqwqPwB0TXJN1jW2Ym3cALzodmJaTaSvlT0tZIskvPHyubMHy/FL/t67ZVhZRi0+uuHJsAa2llDRtDcmEKq64H1m7L+xvrFb/Vm+tsrIoWf0ddkJu4gKsPznLCKL5sAor/f/spMBpRdzp8foEXLlyq+Q1Un3ETsqflrJEgl84y7nSLnDFlWM5tFuPNGlrSCfUaTmZWHXLMLSWByuvLCYPO2ytihYlNeFV1yifHssO32E35CYuu09mWojmwyq8PgEpHWMxZ1wv/K3oFGobW/1/M0OBtJMCpwctfcROyp+dysICI+ZKO2Cp9/CLL76IoUOHIjk5GcnJyRg7diw2bbp4vFhzczPmzp2LTp06ITExETfffDOqqqosLDGHNeLAChV24uqvoLgi6HctaWsChaUS4nnMb8weheduHYa1d4/Bjscn6FZaab7PKGKcDizOzVa9bnl+KbwSaQbs8h0c67A6iNHrE7CrrAbri05iV1mNZD/VQkFxBa5cuRW3vbobb+w8htrGVqQnuHDXuF5MZAApotI0c1g3jO3TydaKgxxW9xHORYycK63GUotr9+7dsWLFCvTr1w+CIODtt9/GzJkzceDAAQwePBjz589Hfn4+PvjgA6SkpGDevHm46aabsHPnTiuLzWGElq1HPae1kArL0VnpcLlcmt4RiN22VtMSYlWvkbKY2e07WMDS5YHmWZHsamFlEKNR1n45i1RdYxve2HkMoyKofexANAW60mDHcW3GXGkVliqu1113XdC/f//73+PFF1/E7t270b17d7z++uvIy8vDhAkTAABvvvkmBg0ahN27d2PMmDFWFJnDEC3bSnoGlNnC0m5bq1qtIXb7Dr2wVIJonhXprhZWJTA3KiAsGhdkVhPYR6QwM9DVLGXSruM6kuZKWmzj4+r1evHBBx+gsbERY8eOxb59+9DW1oZJkyb5rxk4cCB69OiBXbt2ySquLS0taGm56KfX0NAAAGhra0NbG1nKES2IzzbyHdHG9/WNYZGncte1tSUDADLiOxDdE4gDQJfkOAzvnqTYPqzbUMv3GQlp3WXEdwiqA7t9hxpK7VhYWoX57xdBAIIOnKg7ew6PrN2HVbcM87uMqEHzLJbvtZIncwdg/vtFAKQDmJ7MHQCf9zx83tA76RDbrqW1FU/nf4VYmf7nAPB0/le4ph/91vqe8lrUnj0ne/AIANSePYfdR7+P6IwievD6BOw7Xofqsy3ISHRjZM801XoW+4jb2d5m4v+z7iNKFJZWYcWmw6hsCAh2S47DwukDmY4zO43r0LZK7xije640W68hfY9DEAQ2jkIaOXToEMaOHYvm5mYkJiYiLy8PM2bMQF5eHubMmROkhALA6NGjce2112LlypWSz1uyZAmWLl0a9nteXh7i4+MN+QYOh8PhcDgcjnaampowa9Ys1NfXIzlZ3ghiucV1wIABKCoqQn19PT788EPMnj0bX3zxhebnLVq0CAsWLPD/u6GhAZdddhmmTJmiWBF6aWtrw5YtWzB58mQm/pGs8PoE7C2vxd5jNQAcGJWVjlG9rPe/Ecs2dfV2VDXIbz12SY7D5kfGB5VXXOUC6snfaVbZrNtQ6/cZiVzdiW+XshDY8TuUkGvHPeW1uPPtvar3vzF7lKqFjeZZAJi91y5oscTRILYhug3FYx9/pXr9MzcPxYwhdNuypG0495q+uP+aPlTPjnQCLYmBKMmJUFpaW/FZYSHQbSgykuOJ+4ievuX1CZiyajuqZLbJWcoqlvJED3JtFQjJQSlSc6XZeo24Q66G5YprbGws+vbtCwAYOXIk9u7di+eeew633HILWltbcfr0aaSmpvqvr6qqgsfjkX2e2+2G2+0O+93lcplS8Wa9h4SC4gosXHcoKBk6Pi9HarwLK24aYrlfnQvAotzBism3F+UORpw7OKho+tDucDhjJP2KFucOQlqCW9KvidTniVUbav0+I1GqOzmfLDt+Bwmh7VjddB4tXvXJqrrpvGr70zwLALP32gUXgHH9jd8CzUiOJ6q7zikJ1HU3pm9npCXEobJBPgUcAKz990nMnThAt6KjJH/sFNzj9QlYlv81mmXq3QFgWf7XmJLTjaiMMy7vrto24vdvKakMS0dG4y/6QuE3OHG6BfKHzgLH61pw4Lszuv3xWcoTrai1FQDEx8YgOc4V5DbRPldmIy0hlqjPmak/kWC54hqKz+dDS0sLRo4cCZfLhc8++ww333wzAODrr7/GiRMnMHbsWItLaX8Kiitw3wVFI5TTTW247539eMkGiYZpkm+HCvcvfn0t9h2vIxp4VjnQ2zG5uJackXb8DlpYRjwbET1t94AIKxjZM82wgLAYpwO3je6BVYVHFK9jEXioJH8A2Cq4x+xgTLUE+aRBeAXFFaptKcIiat4OGRRIMgc0tXpx91W9MaZ3J1ssjFhgqeK6aNEiTJ8+HT169MCZM2eQl5eHzz//HJs3b0ZKSgruuusuLFiwAOnp6UhOTsaDDz6IsWPH8owCKnh9ApZsUN9es0vErNIJRLvKavzHCK7dcyLIOiIKd7UjSq0+pnJytgdJbhd2fVsNoD1X45je1uZp1JJoO9KTpLOMiqd9lhXR+NGA0Sda9cpIILpOj6KjJH/kjAtWnmJE+q07j1brlgMkCfJJMjyIGSJIYaFMWpVlIxDStnp71zE8NLFfxMhqNSxVXL///nvcfvvtqKioQEpKCoYOHYrNmzdj8uTJAIBVq1bB6XTi5ptvRktLC6ZOnYoXXnjByiJHBHvKa1W3vwB7pTAKVaRIjqmrIBDuNClvjEDqOz7a/x3VNo2diOSTZVgqQbTPsuo40WjASGu/0VYzNfkjh5XpuEi/dc22o/7/1mIhpkmQr2blpclZ6nS0W/L1IO7+Tc/x4I2dxywb16RtdbqpzTZzPQssVVxff/11xb/HxcXh+eefx/PPP29SiaIDGuuAHRMN0x5TpyTcaba9ftiDbfCe3HdU1DfjgbxgS4sd8v5FKqEuJMO7J8ley1IJonlWNLhaWMnkbA+S4lzYVVYDQMDY3hkYo/F0qcD+kpHgRmq8KzgOIAC9VjM9SeCtyo+sZkmUQouFWEvdyM1XNPOYTwD2ltdiXL8MqneLSBkjHA4gMD+TWeN6dFY6Uju6cPqcehopO871WrGdjytHP5HsV6flmDol4U6XdJ+d4kr7HVZuDUYyUpNIzzQ3FgyUv4elywPNsyLd1cIqpHctThIpBqGLmrrGVizPV97JCUSANquZ+N5NDI5C3lJSaariqrSbIIcWC7EWRUpuvqKdx+bm7ceKm+kDlOWMEeLpw3eN64VJ2R7TxnWM04E543oR+fbaba7XA1dco5DRWenwJLtV3QUybehXp9VCcaquCUC4cLfKgZ72O/hJPfTITSJVF6JnC0urMH1od8l7Wbo8hD7L6xP8vtmhymkku1pYQWFpFR7IO6jJP53E3UiN1HgXtRsRi/cG8sbOYxidlW7qglZuh0AJWgsxjcxVs3yLVmLSsp4+1xbUf0iyOqgZIxwANhZX4olcc91+5k3ohzf/ecywXQM7whXXKCTG6cCS6wfLOv6L2NGvTut2xpJPS5AQ1yFMuNM40Pu87amLvD4B/5ZRPIz8jkg7OtVKSHwHV2w6TJyyhxV2Pf4xUlmx6bCmI1lp3I2UoPUNZPXeQKxa0IbuEBypOoM128pU7yOVfaQuCST+ooFWYpq6X/pJCXw+AcvzS1XHrF2Pvo5xOrDipiGS3x6tPvROqwvAMYZpOZl46RcjkBofnhctLd5li1RYUmi1fJ5pPo/739mPgpCtOVGgAeGZ/eQG9dTV23Hbq7vx8HtFuO3V3bhy5daw56qhx4IbTb5IRkFi0a5saJ9EzEJUWkLLJUaPP1f4DdYXncSushp4fXSqjWjF1Xp/pBKYezKUQEUhEC3uRkoEjkeldqB9L6kaIfedZiDuEMwc1g3j+v6A6B5S2ackmwPxpMThxV+MwORsj+IYEK3EUnOeFGK9PpB3IGzMVlwYs4Fyn87tzFzEb89MCa57se7sONfrgVtcbYBRyafFFfPushrdqZjMSpCtJTAgECnLBGlgTGFpFQBxsrx4vxb/Uz3fEU2+SEZht0mExAIc6IdGY4XlVlxlQttYT0CUFOJ4VGsH2veK8mdveS1e33lM9Xqj+7KajDci/ZOcbE5PcOHGYd38/qJbSipx5cqtqmNAnPPWbD2Cl7/4Fk1tXqo6CGXhukP++cQOeVuVuJR86LniajFGT0oxTgfG9cvQHEFpRhkD0RIYIKK0VaM2qL0+ASs2HZYM6tHif6rlO6LRF8ko7DaJ0CotNEnVpVx+aBZTdjqVyQhC25iVghc4HklyQbec9xE99/axPTE9J9PfDikdY4kUVyP7MomMNyqnrppsps3DHeN04OFJ/fHDXun4+Wv/oipLKKeb2vCnz47gR707obKhGekJLtQ2yvuSdkl2wycIWF900pKxdqn40HPF1UKMSozPcqKyInn/tJxM3DM+C6/+ozwoxQgpchOX0qBuz33L1n+JJsAhWn2RjILEou1JZrcIUBtTtMoSaVL1hesO6bp/zdYjeHPnsaB0OZFkrfUkx+FEXQuVhS8jMfzIb1oCxyMAolzQf/zp5UTPnp6TGSRDrE5kTyPjjUrrJiebafJwh46BMb076dq9E3nusyMQPlOO2hcV+ebzviBl2a5jLdIXs1xxtQg9A1IJltZRo8qoRkFxBV7ZXq5Z2GixTBi19SxlTahrbAkLBuD5POkgsf4snD6QSb8kGVNa+pzaYmjN1qOykcJq9xcUV2DhukOS90dS6rWF0wfigbyDdBY+Bs6t6QmxWD4zB9NyMrGrrIYoKAeCthPSjD4dTAktMt7MLWmagKjRWelhZVKqV9JuQnJdyoVcwKHjzY5jLRpcj3hwlkXQDEhSlIJDpAKXrCijGnoCKxyQTvFFEthi5NZzYIDD2D6dMGNoV+x4fALW3j0Gz906DGvvHoMdj0+IGKFhF0TrjyckIKFLcvu/Jw3qovsdpGNKtJppmbqlFkNen4A3d5Zrul8ss5zSK/b+JRu+ws6j1bYO+Jo0qItkGysFndAuLjNT4nD3VVlIT7gY1FNzId9rQXEF8fOqG1uoA0FF5Pqy0cE1WmV8qEwzylpHWveFF3xgQ4NqAcjW6wuzRiC1I1kgVygOAJ0SYrHqZ5fj3bt+hLgOMZLXiSNq6SclthhfrHUEq+AWV4tgbeFjYR0N3T5Q2jrXUkYStAZWyE0MpKvL9ty3cQAaZZ/PcrtOaWsskrdwAjHjW6SsP8O7J2FzwSbdz6YdU1p9s6UWQ3vKa4lOwwm9n3ThJwCobGiJiG1NWgtfbWMr0XNvHNYVPxvVA3WNLZibd0B2q/yRSf2Jntc5KQ5j+3TSvJVuRXCN3YIcQyE1FEj5CAdaO3c8PkGyXo98f4YoeX8oAtoXN56Uju3vYuxmZgRW7aAaAVdcLYK1hU9vjjkpBS/QAqFWRlZKCqmADD3mTmpioPHdinE6sHD6QLSW76O2lrAiGrZwRDZ+eQq/XV8cFMhgZEBfYJ9uayNT+NSgHVO0SduVFkM04yDwfj0R9WZua9LKC5qgk3RCH9fxAzpjdFY6rly5VXEyf2/vCXiS3ahqIPO11aOAmh1cQzq/sPAb1gKJ/6/DcfHkqkDEn574+BAmDOwiWa9qyfvViKTj1e2ah1YLXHG1CNYO+XpWznIKnlz0ZGgZ6xpbiFKVkEAqSJ+fNQJOp0N2YtCyupw0qAs2lrdvNR+vu3jqmBn+p1YEwRnF0xtL8PL28G3uigj7Fi1jKlRpKf9vI1ZLBHaoLYZIx8Gccb10BYkFYpbVxegFmieZrO48yXHEk/n8Sf2wuvAIsQ9qpER3k6bte/SvRVhy/WDTx62a/68AqAbw1ja2YczTn+EPN+aElV8peT8JkXS8ut2t6zRwH1eL0JIYXwmtFlzSrUW5Ml5/eSbmSiRw1uozo+YrKPqxjunTSdHHSo9/7uZHxpvqf0qSA9QuPlJqbPyyQlJpFREQOd+idUyJSou7gxPv//s/kveo+S6S+Mymxbswb0I/TWWWg9RvXeuBCGb42Il1p4ToC086SffKSLDEB9VIRKv39ByPf9EiR1VDi2U+kEr+v3eO60X0jNrGVtnyyyXvV5p6A+MpSOcsNSOU0YeM2C2FoB64xdVCWKYWIT2rua6xJejfpFuLaQmxQb5jnpQ4LM7NxvJ8tj4zrCJs9awuzbaWRMsWjtcn4Lfri1Wvi4RvAfTtiqgd/bk4d5Di+FbzmXUAePqmIWHjQO8BHiJK40erxZRmF0QPgXUnPlskVIbQTOZj+3SKmgTvUm3ocMhbL632gZRzv9hTXos3CHLgisiVXy77y9y8AwDU5yG9c5acq97vZuZgxtCuxN+nhNVp11jCLa4WMy0nk0mEeYzTgcW52arXLc8vDVrJVdafI3r+4txBYWVMS4g1JOsAiwjbSFpdRssWzp7yWuLAGLt/C6B9V4RkFyN0HEohNw4yFcYB6TGaasiNCz0WUzOzlJDKEBLLdqC1zKxoeiORa0M1A59S+5hxJLFU3dNk81DrX1LZX0jnIT1zllx71Da24YG8A3h6Y4nqt5HUP+tdXivhFlcbwMrCl5YQq3pNoLWroLgCy/NLiZ7tSekYVkYjFS69EbYklienI9wCbQWRpGQrQdPOdv8WES27IiS7GKRWZy3jQK7MqfEuzB7bC+/v/Q+qGuitLnqjkunkRTLRtUqQ1B1JNohzbV5sKamMSHeAUPSkGxSRSr8mZYF/MneAjreQEWpdJ4FGTtGMPy1jlaQ9Xt5ejsu7p2HGUOn+R7MDYtQBEmbDFVeboSc6n2ZiUNvKFFGayIxWuPQo9CQCzScAc/MO4EWnw9IBGy1bOKTtnJ7gsv23BEI7IZGmkSO9Tss4UCrzoMwkTduael1arFigkdSdOJnLHdhQ39QWUUGFSujJOiES2D5KQaXz3y/CytG6XkWE2H5PfHxINaAYoM+CQzP+aMcqaXssXl+MqTnhC0ItQb1WpF1jDVdcbYTeaFvi1CYJbvzqw4PEq265iczuCte0nEw8P2sE5q3dr7gNpsWvjmWOUlHJljqTHmhXCCJhC4fUz/p3M3Ns/y2h0ExItWfJrPik18mh1gflyqzV6qJ3h4VGXvi854nexYrJ2R4s2fCV5N+s9u9kiR4XnVB5rmaBF39vPe+DS1uef2Km5WRiwsAuGPP0Z7LuSkZkwdELaXvUNLaGLQj17IBEStYLObjiahNYpEMinRjgANEqLz3BhT/cOET2vVYeVUhKWkKsotIqWone2lmOjIT24eD1CVCSs9GUb5Ulgf1BrsrvHZ/FLNjArqQTuOzQXCeF3j6oxeqi12JKIy98XqJXMWNPeS0qG+QXEpESIKmGVmu2lDwntRZO/N8vsGSm/DzCitgOTvzhxhzFoDwxC45d0g7StEeokhstQb1a4MFZNoBVOiRS5+tqQkvP4h+r5+2z6qhCgMwhnXRFuzy/FI999CUAYOrq7bJBJkak8xHbXw5x5RwJKaTkUst0SojFC7NGYNEM9QDCSEc8TYfVdaGw6oO0gUYs0v5YKS+UiJYASTVI2jA13hWWC1eqfUjroq5JPhUVa5T61/OzRmDDwQpbpR0cnZVOddBPIJdKn5WCW1xtAMuVE8k24K6yGqJykSbytsJnhtTipMXCUNUgvfo26si8aFs5R4MPlR5IXCZI8jpKYeWxjax2WOzYPyItQFKrqxJJG664aQhR+9DWhVmuFkqps+wmZ2OcDvxuZg4euJB2Sw4peRFpfZYlXHG1AaxXTmoTgxG+qWb6zNC4VWjJaxm4+g4UtEYJPjNWzix9ckmIdB8qPai5TDigrOAptZXVky+rqGS79Q+7++sHojfnJ2kbqrUPjWw1WymU6l965axRMnTG0K6497vTige3TM9pn8+NnscjBa642gAjVk5KE0OM04HrL89UHChW+6bKQWtxIkl3I4WUoDVKwTR65cx9cs1HTjlQq3e1trLD9qAdLaZ6iQR/fUD5eO4H8g7g3u9OE7njsGhDo1NRsUaPnDVahi6akY3Lu6fhsY++xNmW8MDEN3Yewxs7jwW9M1L6rBFwH1cbwOrIOFIKiivwioLSes/4LNsqNFqSmMv5PZEQKGiNUjCNbH8zjtjkSEN7uAhJW9llezAaEvGHYlf/WxHSnJ8bvzTGx1kKsc60+mmaiVY5a5YMdTohqbQqvdPufdYouMWVMXvKa1HddJ653xGrlROJ8NtwsAKPTRtky8lIq8Up1MJQfaaF6PCFQEFr1NaMUe1vpT/kpQDJ1iHpljhpW33x62sv2e1BM7CrNdnrE/DWznJdOT+NgiYVlZX9kmT3LVTOmiVD1QJ0ld5p1z5rJFxxZURhaRUA4M6396LF295haNPTmHGiBctTfaxAj8UpUInw+gS8tqOcSgEwcoFhRPtb7Q8ZzbDeOiRtq33H6y7Z7UGzsJv/rVRfU0Iq56fRkKSi0rr4ZqmQKR02kRIfbjU2S4bSHAwh9c7QuS3alViuuDKgoLhC8pQQ2txwZqyc7OAjpwdWVk+tSqiRCwzW7R/pbc0SlsKcRc7lUGjaauawblFxbCNHHdITDkOxYkzLycYuyXFYlKueWjEUI/1KSU9IM0uGarlf6p5LJZ6BK646Yb2VYPRq3y4+clphafXUKmiNXGCwbP9Ib2tWSAlzT3IcbhvdA70y4qnaz6itQ9q2uhS3By81SNy65LBqTAf1y/pG4D8HsPmR8Yhz0x22wWpxGLpgHdkzTXZLXnzXwo8OISnOhTG9O5kmQ7XcH3qPEQtqu8IVV52IJn53jPTf7bYdGw0pNFhaPbUKWtYLDCO2d6KhrfUiK8wbmrGq8Bv/v0mtEkZtHZK2lc8nYH3RSX8fsYNM4RgDzfZxICwDebUgysa2tmRs/M8By3zzpdOGxcr64YqcPteGn7/2L2SmxGFx7iBTZChNajGpd5IcYrRkw1dRE8/AFVedRNp2bLSk0GBpcQoVtACwq6yGiRJJopAatb0TLW2tFRqLFalVwqjxrtZWAoCm1vP4+ev/8v/uSXZjyfX0W7CskOvbl4KPnRlomTPUcgRHAiwWh/Jpw5SV1kAq65sxN+8A7hmfhVe2lxsqQ0nTNsq9k2SRU9nQgjVbj+LhSf10ldUOcMVVJ1Zux7ae9+Evu47heG0TeqbH4/+N7YXYDuoZzswKBDMao9wqpq7ejuN1F4/F1apEkiikRm/vREtba2Hf8TqqgAcSS46R412urVLjXahrakP9ueBUOZUNLbjvnf14yYItQLm+ff3lmdhwsCIsOf6Nw7phUraHK7EU0PahaPFlZHFQgFYXi0BEmbDhYAWenzUCy/ONlaFy4z8QuXeS1tmqwm8wwJMY8X2EK646EU38dWfPSf7dqO3YpzeW4NV/lCPwWOXfbyzF3VdlmZaAWit2tciImSEqG5pxcW2rTYkkUUgnZ3uot8S01N2l6g9ZfbZF/aIASCw5JFv6XZLd8AnBW/qkdR3aVhmJbsx9d5/iPQvXHTJ1C1Cub1fUN0sealLb2IbXdx7D6yEJ1DnKkPS19IRY/DZ3EDwpHaNmTOtdHGp1sZBClAlpCbHY8fgEw2Vo2PhPcAOOdlmm9E6aRU40pEDkiqtORBP/I2vDJxeSrQQtisjTG0skJwifAP/vJMqrFWlfSKyQVii2Xp+AFZsOY8HA8L/RBt2Q+mgluV1UW2J6XAqMaGu7LkBEMhLdmu5Tsl6QbOk3n/fh569d3NKnVdYC22rnkWqcPqeclPx0Uxt2l9VgXL8MoufrQa81KxoDRYxC7Gv3yZxMJQD4/Y051PVo93Gr1zffCLe87880mzZfanmPWGckCrudYm60whVXBkzLycSqW4ahtTxYeVXbStCiiLSe9+HVf8ifegUAr/6jHI9MGoCOsTIRYxZBYoUEYEk6jz3ltRcsrdLQBN2Q+mjt+raaqGyVDc22ixiNhLQrI3umEQc8BKJmvZDb0kuJd+F0U1tYqh09bUTaR3Z9W22K4qrXmsUPvmAPjSIaCeNWr28+qfUxPcGF2sbwtFh6nmkVaoucUOwSc6MVfuQrIyYN6gIAeGP2KGbHO0rxl13HgtwDpPAJwOg/bLHVcZ4kUY+L1h3CfRYdT8oy6IZcKJBN2ss++QoL1x1SrLuln5TAq9YxGBEpx8iKwhwgq2mao3VDj3N9964fIa6D9EJRXxuRKnbmKIAsJjypY5k54aidpuRAu5vIuBVbcduru/Hwe0W47dXduHLlVskxGCnjFtB3lCnp0a67F03Cu3f9CKkd5Y+rpZEJVjMtJxPzCQOv7K6Iq8EVV8aMzkpXPfuZRImTm+SO1zYRleNMsxf3v7MfG7+swK6yGqwvOoldZTWmKTehkFgh6ySSQot/A4xVzlgG3ZA+a2yfTooCVqROwooXiJmKgJ6+awVyE2AoWiKEA896dzodxBZ7Gki388za9mM54RWWVDJ7VjRCIjNPN7WF9TspRdSMcev1CUznmtDFoZoxSERpwRo4zmM7ODGuXwZW3DwEDpVrI2VnYN6EfvAky4/RSFLEleCuAhagJ91Hz/R44vcIAOat3R9kobVqW0ivpcbofLijs9IvDPhGyb/TBNmR+miN6d2JKAUKKWZs/0TiMbKhAQ/Hqhuxds8JVDZcDN7SGyFsVJqsMb07IfWCC4IcafHtydLNgCbfpBofF53EE7mRoxSYjdbxLOWOYfS4lXJB6JnmlowZoEGrXylNNhUWmVfs4jcc43RgyfXZzI/etRtccbUAPZPc/xvbC7/fWKrqLiASep1VPpGsLDVGKWcxTgcWTh+I1vJ9ulfeND5aotB84uNiqhyDUpix/RNpeYtFQifAeRP6MZloxAnrSNUZoutp2yjG6cCKm4Yo+q49fdMQ0yYi0nyTJNQ2ttlqgWM39IznUEVUz7hVU8rk/O+rLliCC0urMH1od62fohmabCp6Mq/YzW/4UkiByBVXC9CzLR3bwYm7r8qSzCpAglXBEawsNUYqZ5MGdcHG8vYjXwPzuGo9kYtmxX+u1Yv5fz2oqdxmnoDFyqXCagsFiwhhqQlLDj1tNC0nEy/9YgSWbCgJ2ha2anKU69tyeVyVsNsCx06wkJli/Wodt2pKGYkLwopNhzElp5tlFkjSca5FJtgtaFYk2lMgcsXVAvSm+xBTXb3yj3IIGiSaEdu5aoqIXkuNmcrZ5kfG48B3Z3QPeBrh4UnpqKmsZm//sDhG1m4WCi3ITVhK6Gkju01ESuV5bNogvLWzHMvzS1WfE+lBIkbCwrot1q+WcUuilKV0jCU4sclerkOsYHU0rVFYke7SLHhwlgWQOo8rdfZFM7JRsnQakuK0p7xiZe0oKK7AlSvVI1tJA2VCMVs5Cwy6UQqyY/kskkjYtHgXPMnBuUlJomxZorfv2j2ymSTAREsu05R4+chlUlj2SzlYBNjEOB24Y1wWMhXGebQEiRiNbHR9shup8S7VyHmxfmnHLWkwV2W99ME7oUSjZZ3Gb5jDFm5xtYhpOZl4ftZw/HZ9cVAuOZpt6Y6xMXj2J5cT524LhYW1g3arRLTU7C6rwdy8/Th9Tj2PXjT55shB4hd7xxVZ6JHeEbWNrUhPdMOTbI3VTasPld0tFKSWYC25TOub2myfeJ/GEq52bWB/BuwVJGKVm4rW98pZt7eUVFLlOqUZt6RKGalffjRa1iPV3z8a4IqrRRQUV2B5fmmQ0pqeEIvFueYoaCysHVoVkRinA06ng0hpXZw7CHeMy4oa3xwllM6qF9B+zrSIqCTYcatYDtaRzSwVEJoFmJaJyA6KuRI03096LamiJNWORn6nnMJtpCuGXvcYqW1fLQtI0nFL2sfTE92qfrjiAjvaiBZ//0iEK64WICf46xpbMTdvP150klll1BJUK8FC6dGjiJAKxowk9yU1iKVSN60qPBJ2ndXO/wC9DxVLC4WSIjBxAN0JUrQLMK3WIzumCgPovh8X/pu0rtQUJbl2fDJ3gGJ5tUZ/yync972zPyztGCu/a9YBPKHf/8Wvr8W+43XE9UEybkn7uCc5TnWn6LGpA6JSMbPa3/9SVni54moyLLdLtR6/OH9SPybKjh5F5Fi1dL7UUKJxi0kNcWLx+gRcuXKr5DV2t+BJwcpCoaYIvDDrcqpy0S7A9EZ7y40bqyYiWl892sWqnKKk1I7z3y/CytHhz9c60ZP4bLI8qpf0vbRjWOn7Zw7rpqmMUpD08dR4F3w+AZOzPZKW3y4X8mI/s/nroCwtkRaIKYfaMasCyPz9tSxooiHAVQ88OMtkWDp0a9myzEyJw7wJZMfCqaFVEfH6BKzdc0L1vmgP3lALhIk253/SoxiV2pw0/Q4NtAsw2qNkQ5EaN6QBjkZA8/2srOat53144mPlY4wBBI0JPYF9Whb5LE6UYjmGzQxsJOnjp5va8PPX/+VfXIeecvXY1PbTB0hO9qKF9SldZqPnJDO7B7iaAVdcTYbldimNNVI80o6lX6RWRWRPeW3QqUVy3DqqR0RYErVAoqhEm/M/i2waJIqA1NGrShOdlgWYXLS3WndNjXeFjQerJyKa72dhNS8orsCYpz8L8u8PRWydfcfrAOg/slTPKVR6FoesxrAVRy2TZoER++mWkkp/1ovRWel4ZrP0AlJvea1c5AWi5qonWtOlvlHrgibSjtw2CksV16effhqjRo1CUlISOnfujBtuuAFff/110DXXXHMNHA5H0P/uu+8+i0qsH1bbpYC64hiIEWmTtCoipMK8V0b48baRvtIGyBUVln3FasR2aznvwyOT+l/YRrwIaf/UooCoTXRaF2BSZ6mvuW24YllON7VhS0ml/992mIjE71ejrrGVSOY4HUBdo/TCVOz7pNHo1Wfbn6PXcql3jGhVfFmNYb3fr1Vuin383V/+CKkdpVO6CRf+t2TDV/7nthsn2O8WbfyyAvfZxNqop020LmiibRdOK5b6uH7xxReYO3cuRo0ahfPnz+OJJ57AlClTUFJSgoSEBP91d999N5YtW+b/d3x8uEITKbBw6BYhSVA954qemDI40zB/OS2RrUad4hIJeH0Clmwg83lj2Vdoysfaz1Kq3TzJbsyf1A+9MhKo3kOrgJD6kZEe0RtKqP+m1ycgNb44zF8y8HlmniFPQozTgcW5g/BA3gHF65bnl2BqjicozZUUPgGYm3cAL14IzhLRkv82I7E9b7Fey6Vev2Stii+rMazn+1lkNHA61LPAVDa0YM3Wo3h4Uj9Ddos2fnkK89ZK91ErfP71fKPWOTDaduG0YqnFtaCgAHfccQcGDx6Myy+/HG+99RZOnDiBffv2BV0XHx8Pj8fj/19ycrJFJdYPi+3SQNS2cwq+qkL9uVZDB7KU5WnH4xNkhaIWC5fV26msWLP1CLElgnVfUcOILTi5dqtqaMHqwiNwd3BSJdMn6TueC9ZcGmumbKJ3yp2KPeW1skqr+N5Ai4hdJqK0BLfqNWK523NQj1B1iwi1FNP4mYqPHtkzDYB+y6VWv2S9ByWwGsN6Fvss5CZp/1tV+A0KiiuY7xYVFFfggbwDUDIUm21t1PONWnd5omkXTg+2yipQX18PAEhPD26sd999F++88w48Hg+uu+46LF68WNbq2tLSgpaWi9tUDQ0NAIC2tja0tannDdWK+GySd0wckIEXZl2OFZsOBykxnuQ4LJw+EBMHZFCVdeKADHjPD8CCD4rC/lZ39hweWbsPq24ZhkmDuhA/Uws/7JEMoH1R4fOeh88rf+2TuQMw//0iANIWridzB/if4fUJeDr/K8TGSEstB4Cn87/CNf30nSZE04ZaKCytwgvbvoGb4LCz7+sb0daWzLyvKJVt/vtFEICg8unpP0a1m1rfeXxqP7QdL8Leb/+L2rPnFOu79uw57D76PUZnpWPigAxc0+8q7Dteh+qzLchIdGNkzzTEOB3Edfx9fSPcMt8bel1bWzIy4jsQXZ8R38FQ+UVb7pQ4J1xO5esD65bmHQDgvvBsn/c82tocGN49CT3T3KhqkLdcdkmOw/DuSbL1NHFABu67qgfe2nU8SAESrexy1vZAWaQFFmNYy/fTjD8Akv1ehLSf4sIzNz50FXqkugE0+dtSrbxyiN9B+n6xjxqN3j5JMweyeictRs+Jcu9TwyEIWk67Z4/P58P111+P06dPY8eOHf7fX3nlFfTs2RNdu3bFl19+iccffxyjR4/GunXrJJ+zZMkSLF26NOz3vLy8iHYx4HA4HA6Hw4lWmpqaMGvWLNTX1yvurNtGcb3//vuxadMm7NixA927d5e9buvWrZg4cSKOHj2KPn36hP1dyuJ62WWXobq62lAXg7a2NmzZsgWTJ0+Gy6X/XHIa9pTX4s6396pe98bsUUFbD4WlVbJWgGsHdFZcgbPC6xNU37PxUAUe++hL1Wc9c/NQzBii3dfVyDYkbSOgvQ02PzLetIwKWvuPGka3m1zfEdsxvf8P8ct3lP02AfrvUivT1NXbVS0imx8Zj21ff++3csvhAEzZLaEpt+ibS9tn1N4BAOnxsShccDUcgldyLCrJLKU6Et8t56bjANA5yY3f3zgEtY2thso8PdB8P+n4k0L86sC+V1hahUcuWAjVeObmoZg8MANbtmzBmm/iceL0xTmZpL0CofkOs2UnoL1PipDMgVa902y9pqGhARkZGaqKqy1cBebNm4dPP/0U27dvV1RaAeBHP/oRAMgqrm63G253uL+Wy+UypeLNek8g1U3n0eJVH6jVTef9ZWv3GTp4YQK5eO+Juhbcn3dQ9ykyakE+oX//8bDOsoO1c0oC0fd1TklgUvdGtCFpGwHAotzBiHPHMn2/Elr6DwlGt5sLwLj+8kJ6VO8fID2xo2pgDBwx2PjV90yC0Vxobz8xeElqC3BR7mC4XC4sy/8azQr143QAa24bgelDjQk8DB2Dj08fjLl5yuUW++WYvp2J6nZM34vjmqRunpo5BAkd3f4tw9CxOH1od0zJ6UYdQPjvspoLSfDlrztxuhUdOrgwc4RH8VlWQvP9pONPDgeAZflfY0pON8Q4HZg+tDu++b5J8iQ/qXeL7fbJQ1fjwHdnNAd80nyH2bIT0N4nRdTkGOt3agnWM1N/IsFSxVUQBDz44IP4+OOP8fnnnyMrK0v1nqKiIgBAZmZkRJGbAa3DttGnyKgNDNqBY0V0PWtI22j+pP6mZ0gwyuHf6nZTyroh/vtcmxc/f/1f/t/l+iFNtgWSTBu7ympUA5V8ApCWYMwkLDcG7xmfhQ0HK1QzhKjVLSAddKQlC0kotEcNA/YJgmMB6ffLpSQjRSqjRb/OiXA6IBskFTimfd7zVOWVY3RWOjzJcYpBrQCQ2rGD/1his9H7jWa9k/Xxw1ZhqeI6d+5c5OXlYf369UhKSkJlZXt+w5SUFHTs2BFlZWXIy8vDjBkz0KlTJ3z55ZeYP38+xo8fj6FDh1pZdFtBqyBoPUWGJN2I2sC4Z3wWXtleTjVwtE6SdoIkHY8n2Y15E/qaWi7AOAXTDu0mpyilxrtQ19RGtEDTYqGYlpOJydkeWWXXCEWKVLlWGqOvbC/H87OGIy3BrfocrUqoWt0YwaUWje31CVieX8rkWWIfLCiuwNy8A6rpxMQxrTWYLZQYpwO3je6BVYXfKF53+tx5Q9PGRTqsjx+2EksV1xdffBFA+yEDgbz55pu44447EBsbi8LCQqxevRqNjY247LLLcPPNN+O3v/2tBaW1L7QKAotTZKSEA4kl99V/hCut4t+VBg4LS42VkLTRkusHWyIwjFQw7dBuoYpSRqIbj/61SPLa0H64paRSs4VCySJiRLogEuWaZPJanl+KHY9PIGpvrUqo2RYqq63/arDOn6zFOCFH56Q4ohy8omuLnjEtVw9Sh9FIEQkWc6uwQ85oVljuKqDEZZddhi+++MKk0kQ2NAqCUafIkAhL0jx8UgPHCksNS+ygxFlRNju0W6CitKusRvHIYbEf7v62RpOFgkQJYalI0Wz/GTF5GamE7imvRXXTed19Rs/izIhDOQIx4mAVUgUutaML9efaFPvgyJ5peGtnueGuLUr1cKlZzI0gmtxlbBGcdSlihDAkVRCMOkWGVYdXeo7WSdLoyYcUKesfBKC6sQW7ymosVcSNVDCt8AGTg7SfqvmhSil5pEoIKys37fZfpExehaVVAIA7397rD8zRq8xpWZwZfVqfUT6HpArcnHFZWF34jWwfvP7yTFz97DZi663WfqNWD8/PGmFri3kkEE3KP1dcLcBIYUiiIJAcFSuFmnBg1eFZDxy7HRUrtlFBcQV+9cHBsKNQbxvdg/ooVNZli2bI+xdhwvMAH0AaJYSFlZvWghoJk1dBcQXmv1+ElaODf2cRQEKzODM6kMVIn0NSi/68CX0xwJMo2QevvzxTMh5BCS39hsx9pQSLcwdhbt4B5u5MdjFqGI3d3WVo4Iqrydglqk8paOV0U5sm4UBiyXU6AEGQVgmMGDh2qW/icjW0BKWbCVSwrRSw0STcSQX42N4ZWLOtTPV5aj6ASkqIXis3qYVLjMi2++RlRgAJyeLMjHIY6XNIY9GX6oMje6bh6me3MTNqKEFaD2kJbubuTHYzahgJTZ/wy/v6RgDt48HcJJ/KcMXVROwW1Sc3aW4pqdQkHEgGxt1XtWcVMCPK3G71TVKuUAKzMYSmKTJLwEoJ9/QEF343MwczhnY19N1GQCrAx/TpRKzk6VFC9Fi5SS1cyz/9Ch1dTkzLybQ804MSYj3KHdNrVgCJGYEsRrtt0Fj0Q/sgSbo2Eb39hqYeZg7rxsydya5GDSMh6ROB8t4dI+CZ0cDU1duxKHewbeqDK64mYpeoPjXrmR4rEMnAGN4jzZQAJbvUN225AhGF6svby8P+ZoaAlRPutY1teCDvAO797jQWzcg25N2BsLb4kk7qpEqeVb6jpP7qtY1tQX1Fr+XKKAu8XXxwzSiHGW4barJcrh1pvkuq34jPBdrlXeBBFFq/T7yOhTuTXY0apOgZf0p9Qk7eVzXYS5nniquJ2EEo0wSPaBUOasKSRDFmMTHaob6NfJ/RApbEMvzy9nJc3j0NMww63QkwbjuPpB+SKnlW+Y7S+quLfUXP4tTI7VW7+OCaUQ6z3DbkZDmLKP4bh3XFT354Gcb0vvh88bm1Z8/hmdHtAXbpiR1tdcCMXY0aJLAYf1J9giSdpV2Uea64mojVQtnMrRE1xVfp76wmRqvr24z3GSlgSS3Di9cXY2qOMcLM6D5LskAjUfKs9B0VlesnPi5GbWOr7HWhfcWOJ++I9Vh39pzk383ywTWjPa08oENvFL/Ix0Wn8HHRKb98BuB/bqC7h90OmLGrUUMNI8dfJCnzTkvffokhCkO54edAu4JmhFAmXU15lRKtmoA4MEMHkDgwC4oriJ7j9Qnw+QSkdpR3KTeyvpVQ6wdaMELAkj6zprHVvy3IElZ91usTsKusBuuLTmJXWY2mPi4qeTOHdfMrfaF/Fyfu0HY1w3d0Wk4mFucOIrpWa18xQ4YE1mMoWutRS/ub1Z7iosOTEryY9aTEGbYtS9KOYhQ/EP79UojyeeG6Q5r6h9n1YFejhhJGjj+vT8DOo9VE19pBmecWVxOxcoUdCaspVn5HUhbbUKwMRNGajkwJIwQszTONEGYs+qyZUcNWHzDhSelIdJ3WvmKWDJmWk4lVtwxDa/m+oN+11KOe9jerPc0+oENvFL/cPQDCjlCWei6LA2b0upLZPbsGEP6NPp9gyPgjmS8DsYMyzxVXk7FqcouErRFWiorUVkooVp9WJdcPaDFSwI7OSkd6ggu1jfKTkYgRwkxvny0srcIDeQdNjRq28pQwoydjM2XIpEFdsLEceGP2KM0nZ2ndVg1VGL749bXYd7zO0PY0M3+y1ij+nUf/S5QeTs/7SeqBlY+nnbNrSH2j0u5hIDTjj3S+BOyhzItwxdUCrJjczNoa0bMS1jsx0qSZUjtu2AxC+8Gx6ias3XPCn3MTaBfIYiJwwFwBG+N04Hczc/BA3gHF64xyt9DbZ1dsOqzbeq+lP1t1iIPRk7EV26ujs9LhctFnkNS6e6OkFM0c1o3+AyxEru9qjeJnZdTQ0z9Y+nhavUMih9w3nj6nbkAAyOuXZr60gzIfCFdcLcLsyc2MrRG9K2G9EyNNmqmqhhZmp9/oWYCE9oN5E/pKPo8khZgRKYpmDO2Ke787LZmOC2jvNyyEmVTZ9fbZ9gWAdLns5mbACiMn45E905CeECsbAGYni4yW3ZtIyOtJOsaV+u7kbI+mcaV3QaK3fxiRwsrKHRIpaJTJUGjrl2a+7JIcx/O4XkrY5cQho60xLIS+XkWFxiLAIpWUEYqN3IJGTcAaqWQtmpGNy7un4bfrg6PWWT1fqexGb+fJ9ZlIUGLkMGIy9qc4UlBaAftYZGh3byIhryfpGCfpu1rGFYl8To13oe7CyYuhf5N7LilG+Vjb6ZhrGmUyEC31SzNfbn5kPOLcsdTlMgqeVcBACoorcOXKrbjt1d14+L0i3Pbqbly5citxZDxrjIrcZBXtqDeSl9YiECjoAPjL9+mXFXj9H9/i4/3fyUYhs8p+QINcZLsZZZkxNBN7fzMJa+8eg+duHYa1d4/BjscnMFFalcoOwNBoY6k+Y1UGDhbZD4xAro0CMTIKXgu0uzc0SpEVkI5xmlyctOOKRD4/fdMQvGTQeI2EOA29kJY91N9VS/3SzJd2WIwGwi2uBmFXi40R1hiWK2E9W52kpwiF8v2ZZhQUV+Dp/K+wYCCwcN2XaPFerI9Qq4adrDNmloW1ZYK07Dsen6Cpz3qS43CiroXaem9FBg6WFnOWzyLZukxPcOGLX1+L2A72sYOMzkpHarxLMco9Ld7lb387K0U0Y5ym72qZC0jl8+RsD3Yf/R7VpbvxxuxRiidnkRKJKaxoIS378z8fAafDoWsOJ9rhTI4D0Ej1XDPgiqsB2EmxkYK1AsJa6GtVrrWmmTpW3YTVhd8gNkb6joqQxQatYmOku0gkpDmTg7bstOVfOH0gHsg7SO1mYLYSw3KRy3rBTLJ1WdvYhn3H65gvagBg46EKdE5JMMTFKrCO7KwU0YwT2r6rZS4gkc8xTgdGZ6VjYymYtZ1WVzK7uOuRlIn0G8f0Ds8lTQuJ++DC6QPD0tLZAa64GgBrZcKOAy8QI4S+VuWaJs2UA0CXZDfW7jmhquQKuLjYoJkcjA7wsbOlSA2jyz5pUBdN1nszlRiWi1wjFsxW9K/A3Y/HPmrf/ZDa9VCSiXvKaxWtrUB7zlFRBpPs1lhxWAlA1wZm9V0r/EK1xGnYMcBSLXDu1lGXYVXhkbD7jPAjV7OgTxyQgY3ScbmWwhVXA2Ap7O048EKxm9APtAgUllTi9Z3Hwq4Rh/1to3tICgkpxMUGqdAXLblGuovY2VKkBmmZMhLd2FVWo2nhpsV6b2ZycpaLXCOs72b3L9FiHLr7EThmAKjKRC2WR7XdmnNtXmwpqTRd7tK0QSQk1hfRYpChcSWzo7ueUpnue2e/onsLi8wgUnWuJCPb2shScJkNV1wNICPRzeQ6Ow48KawS+kqCT7QIjO3TCaOy0mUFXct5H9U7vz/TjB8P7ao6OShZclm6i0TSRBUKaZTyo38tQmVDi/93LcnGaaOMzUpOznKRa4R11Mz+RWIxXrjuEOqb2lRlohaFe1pOJu4Zn4VX/lEuKcTqm9oskbs0bWD3xPoiek80U1uM2tFdjyRwTk5pnT+pP+ZN6MskM4hcnYsyMnBezYi3p4poH2/6aILUuVLhOqsim7UiroRT4qWThYtCn1W0PU3Ghmk5mdjx+ATJiHhaS1HnpDii6NrbRvcIOkggFFZRyjFOBxbnDpKd0ABjJioWEfBq9SgAqGtqC1JaAWMzN4iYdXY6S4sm6YKZ1mVHT6YPGkgsxqcllFbxb8BFmSgqe3KlciB8F6iguAKvbC+H3NkkVsld2jYwq+9qhUUWFLkMKyJ2zBKhJ9XVe3tP6Ho3aZ2Hzqt3vr0XQPsphHbCnup0hFPd2KJ+kcp1kRh0MznbgyUbvpL8G8tVrhZLtJzVLdCaoUbgRKe2ZUVqydXrG1hQXIHl+aWSfzPqBBiW7itK9XiuzStpgTDLYmJGcnJWFs2C4grZsUf7rFDMOmFI71gIlYlqlsdbR/XAp1+eQuekOIzsmUaU+J1G7rKMTaBtA7sl1hcxyxJqR99/re/SO9eT1rnPJ2Bu3gHJ6+a/XwSHM8byRY8IV1wNgIUVxY4DT4095bVh1rFAWCjbrAVf4NaaEg6EW5aUJoddZTVE32PE8Ycii3ONUVpZu69I1aPPJ+Dnr/9L9h6zFm5GB6Gw2NolOW9cr3XUDEWIlZ+sKBPllL3UeBcEAKsKv/H/lp7gQm0juT+fmtw1IjZBrQ2kFGW7GDVEzDLI2NH3X++7tM71pHX+2/XFijLE6gM4AuGKqwGwsKLYceCpYYaybYTgEye4p/O/glTOOqUJh8SSa4RvoFp+TQeA5fklmJrDTtAYaS0Jrcf1RSeJ7rPTwk0reiyapEdEsrCOGq3E1zW2wukA9O7Ch/qtBip7x6obJYMxaZTW0HeEYmRsglwbREIQL2CeQcaOvv9a84yLaJ3rSetSaQzYbYeXK64GIFpR7pOw4pFYPrw+AT5BQGpHF06fk+5Mdgy6MUPZNkrwTcvJxDX9OmFzwSasuGkoapvOIz0hFp6UjposS0YHSehV4LVsY+p5J+37InHhpgetFk1Sv7k//uRyjOuXwaq4mlDqAwXFFZibp2w1BtqtpVLBWYC8TBSVPa9PwJUrt+r+DqUMKUZvhUvV4ZaSyogI4gWAY9VkyexJxrVacK7dgtS05hnXO9eT+r6TYBdDAVdcDUQqtUVKvAsrbhoiK0ikVs6h2Ck6NBAzVrlGKjRiXf54aCZcLukgMxqM9A3Uo8Brtc5ofaeW99nRYmI0WiyapG1C6ndvFGq5K9Wsxk4HsOa24XA6HZqVEa3BMaHoeYcey5VUHXqS49B83mur6Hk5vD4Ba/eoBxmRpE4kkSlm+WbToOS+crqpjbmSTer7np4Qi5rGVtXn2cVQwBVXA1DyOatXSIpN4qsGWDvwlDBjlRtpCo1RvoFac6DWNbZKWrZE68zzs0YgLSFWsqxaFg1at03taDGxI5FgmVbrA49M6qeqUPoEIC3BjbF9OmlWRvRai1JVjA4076Ati2wdKmQuAdgE9rCSXWoxECK3juqhyadbSqawkr+sA+2kyrSlpJKpkk2qTwgAls/MwfL8EsV51aoDOKTgiitjSHzOpFbAJPelxrvw/G0jMEYi/YddMHqVS6LQBEYL2yGS1gjfQK05UJ0O6S0q8bd5a/cH+RgGWjFoFw16t03taDGxG1oWcmaexEfSB96UOCBEisCgK6mJH4DiQRWkynt6QixqA6xPqfEuzLkiiyiPphELCVI/ZiW0KO2s/WZJy9ArI172b1pkil75a4T/sFSZWBo5aPuM0wlVNwY7GQq44sqYfcfrNG0VkWxjnW5qg9PpsE3nkcPoCGSaaGESAeOfyOsb/f/W7yhgLGoKvJgDNRS1wJfQv4daMWisoCy2Te2a1scu0FqmzQ7iIcrNKuPHH0qgshc68ZN8F6mS/8Wvr8W+43Wa+psRO0IsXBxoLe5GBJixUOrNTBPp9QlYs/WIZDCfUf7DrIwcNH1GVPZ3PD5B9rj0VbcMs5WhgB9AwJjqs2S+ZKGrz0hMf6WEWoJovYQeKjB/Uj/UNbWF+RSrJbUOTLj82EdfAgCmrt5uaHJ7ViglGk+VOQiCltCk6zTJzVn1aaP7UqRD2iYsEr/TQtoHUju6qA4LEPH6BDxX+A3uI/gu0kT+sR2cmvsbywMbxEM+NuloFy1bvEYdfqPlUIhQzJonC4orMG7FVtnjwO14CFAgNN8fqOyHzqtvzB4FAJg0qItBJdUGt7gyRuvpNZHgq2Y3SKKFlbak5awKVQ32i8aVQ0sOVFpCrRikVlC79Wkzt8jNhiTHpxVHYJK27ZxxWVhd+A2VP3N74EmJrJ+n1HeZ4X7C4h0kQbpqaPUFN8qqycJvnaVMkZMHNL6hVqaIUpJnWmSqqOwGWn3b2tqwUfp8G0vhiitjRvZM07RVRLLFlJ4Qi8r6c9hVVqM66UbzJB2KFkFLalWwQzSuGlpzoNISuIon2dIi3TYd2TNN0TeRBVq2yCNtDCm1iVUn8ZHkrkzt6MIPe6Xh+VkjsDw/uI26JMdhUe7gsDbSo1yY4X6i5x2k36aGVmXcSKumXqWe5UlzUvJgcW42lufT+RNbsQuqJs+05IyNJKMYV1wN4NZRl0luMSitKtVyvAkAahpbMf+vBwEoT7qRkoyaFVoEbSQeqUuKUQKI9rkkFpbrL8/E1c9uM7SvavHXi7YxZJUrEknuytPn2vDz1/51QXEYhLQEd7u/+X8OYPMj4xHnjg26vvW8D098rHzKTyih32X0YQpa38EiEAsA5k/qTxRMJoXROyV6lHojT5qrrG/GA3nKJyhKYbbCRyrPSE6EBOyXiYcE7uPKmKmrt8v6xUj5AQYi56smhZxfmhV+bFZDI2hp/cYixac4EDVfMqA9uwApelKhKPlf3jM+C69sLze0r2rx14vGMWSl2wapXKusb8bcvAOoP9eKGUPaZaSUe8CYpwuDov5JiBRrEotALAeA9/aq50uVY3RWuqqPfFq8S5eio8dvncbPPhQSeUCKFSmiaOSZWE+ZCuMuUlMLcosrIwpLqwCIefXCOwDpCjhwNVrZ0Izln34leRSblP+WVX5sVkO6fVTX2IorV26lmhgiZcILhMQqsea24UhLcKOwpBKvE6Qj0iPYpCwsI3um4epntxneV2kt616fgIXrDkXdGLI6/7HYB3aX1WBu3n7JTAKB9XtNv6vC/q5lC138Lp9PwPqik1TWPRJXEdbuJCwWymbsFumxCLOoM6NPmiPFbIWPVp4F1tOWkkr8rehU0KIvUlMLcsWVAV6fgBWbDmPBQOm/iyvgeRP6+q9XGnDianRXWQ3V+cHRtv1NKuBIt6RJjpQMvC/Stk8CIfEl8/oELPhrkeJz2k8s0h+kFrptuqusxpS+SrtFvmbrkbDMFErlihQ/WDsc6BDjdMDpdCimvxLrd9/xuqDftW6hCwDOtXmDghVJXD5IXEWMcCdhuVDWqgTvKa9VHANAe2pGVqd/aa0zI0+aU8OT7MaS68N9r41Gi8uPWE9j+3TCb3KzI0JeqcEVVwaI1lE5Aie7+nOtxAOXtpOSXl9YUhk04NUmXysmZ1oBp6SoLc4dhOX5pVRKKxB52yehqFklSKwP7ScWxSpeowWjfC7Fvgq0fx9Nlg+vT6BKhh9pfrB2ONCB+IjakLSCWixlqR074PS587Ip8uS2lUl8CAEwz3MKkAWzkaJVCTb99C+DcqJKwWJhoMd/WC96XX7M8O02A664MoBGYXxj5zHigUvbSUmv/7joJJ7Izfan/lCafK2YnLUKODlFjXbSk4tkjkSUBJWVuYON8LkU+2rt2XN4ZjRw59t7kZbQntO2vqlNdYt8T3ktcTL8Y9WNWF14xNJJWAtWH+hAc1RxNdoXIv/WkMv0kYn92v08z50P+5uSyweJu1X72e8OQ9xJSILZSHA62jPchEJihDD79C+jXXACvzkjwQ1PchyqGuRdZlLiXYoW5wGeRMsMGla7/NgFrrgygEZhpBm4tJ10dFZ62HGFUtQ2tvmtv0oKohg8Y+bkrFfASSlqpIrXbaN7ACiXjGSORqwM2CGxLHVKiJWcfKUIXOy4Yy7+XtXQ4n++2hY5TbL8tXtO2N4PVk5JIbW6GLHTQpMibXNpe7Dr8TqyQ12A9j7z+xtzkNIxFqs/kw6SBbSfYCgAQUco0zybFDnLOA0+AXjx86N4eFJ//2+kRggrTv8yyo1N6pvFExal5AHJQsHKsW0Hlx87QJ1VoHfv3qipqQn7/fTp0+jduzeTQkUao7PS4UlWjtzrlBBL7K8qQnsKS4zTgRuGdSUqc2X9OUUFUQDw6j/ClVbx74Axp4bQCDhSSBWvyRdOB4n2QS/C4iQbrSj1bZGaxlZc/ew21Sh+ksVOarwLXULGaGgUMmk/mTSos6LyoqWPsibwRLiH3yvCba/uxpUrtxJnRNB7vxykMm3b198DgKILVijpCS7sWjQR03IyNe8msNxd0POs0BOM5l3bl/oZqwqP+NuLJlMGSRstvuArub7oJHaV1ajOA0a6Bu0qq5Esh9w311+wpqaEZE7wpMRh/qR+qv69Vo9tPVkVogVqi+uxY8fg9XrDfm9pacHJk8YkPrc7MU4HFk4fiNbyfbIDfeawrniDwH8udOCS+qWJ1pH42BiQUNvYSuTfKIdRK2QjBBytledSwerVO4llicS6T7LYOd3UhnfvGgHnBcuqlAWRKFl+vAvj+mbgw/3qss6qVGp6fQmN9kVUk2mTsz2Y8OxnssGuUjgA/OHGIYjt0G6L0bqbwHJ3Qe+zAi3ju8pqsGbbUepnLP2kBBMGdqHexVJqo+svzww7KELNfcxI1yCpckzO9qh+c1wHJ9795Y9QfbbFLw82HDxF9G6aBZURWO3yYzXEiuuGDRv8/71582akpKT4/+31evHZZ5+hV69eTAsXSUwa1AUby9v9IwO3tkRhnNIxlkhxlRq4ap2U5nhAUUlLJwxaUYP15GyEgLNaQbMzLAJ29GwpT8vJxISBXS7k5iRL+xYKccBPYwtmDusm+3cS/8IVNw1BSkcyNxIrUqnpdbUxyxdRSabtKquhVgzuGZ/FZLub5L4uyW4ADkU/SdZ+hlqDtirqm/GXXcc0bdNLtVFdYwvm5h2gXtSwdj9QW1w9Mqk/kcuH0+EIkgm1Z8ncUkivM5JoCbTSArHiesMNNwAAHA4HZs+eHfQ3l8uFXr164X/+53+YFi4S2fzIeBz47kyYMPb6BF0DV66T0uQ2DFTSSCdfNVhPzkY5n5MoaG1t7YrTnvJaVDedv2RWsXqPp9QbvLfveB1V2rdQWC525PpJ4DfpHctGoteX0ExfRDmZRrsYdgDYcLACj00bFOQ2pWWxSnLfkusHA4CpC2E9QVvHa5uIrpOq98A28voEXLlyq6ZFDUvjAcni6s1/lqs+Bwj/5nTCDCqk13GMgVhx9fl8AICsrCzs3bsXGRkZhhUqkpETxkZY/WhzG4bm8FRbwTsdgCBIC0mjJmcjraNqCpp4iMSdb+9Fi7f9NzunN2KJltU76ZaymkVWr3sIzWKHxDqs1k/sbMHXW5dWZpoQoV0MK1kMtewmkN5ndmoxrUFbPdPjia5Tq3e9ixpW6dhIXYNICP1mT0pHovtIr+MYA7WPa3n5xZVMc3Mz4uLM3w6LJEInyudnjQjzD5IbuGqTLGmap3nX9sW4vhnUk+/dV7VnFTB7cjYy36SS5Xr++0VYOTr4d7unNyKFdYQ46ZayzydgeX6pokWWRW7CwL4cSGBf3VJSSWwdVlPk7ZATVQq9dWllpgmRi8GujVT3SSnTSosQpTFBsgthhZ9h6MmKyz4pRl1TeMov4OKC7f+N7YXXdpTrXtixWNSwqDOa7B/159TT4AUiLoKV5lWzj3nlhEOtuPp8Pvz+97/HSy+9hKqqKnzzzTfo3bs3Fi9ejF69euGuu+4yopwRidw26uLcQUhLcCsOXJItWNIB3K9LouYV8PAeaZZMzmZOCtF+VK4RuXhJrS8P5B0I+1voYoCFe0hgX649e87/u9hXAfYJ4+0YIKG3Lu2QJ1Ip2FUJmqTrJGOCZBfCCj/DwHd2dDlx/zv7AcgbF2I7OBXdDAQAM3I8WLP1CNbuORGUMSOwTlgtakLdD2jHD2k55ozrhdWFRzS7isj1/0s1HsJOUCuuv/vd7/D222/jmWeewd133+3/PScnB6tXr+aK6wWUtlHn5h3Ai78YIRsoQroFSzqAq8+0yJ7TrTb5Wjk5mzUpiEqYWyYhA+sMCmaeRGZUhLierWKpxQCLrXexr+4++j2qS3fjjdmjMKZvZwDQ7JsHKLeXVB/1+gTsLqvBrm+rAbT/fUzvTqaNGT11aRc3CLlgVylYB/ZE0u4KqeVf7jqnoz17zOsygcOBdTI528M8wErLgpp0cTVvQj8M8CQxcxW5VNzGIgFqxfXPf/4zXnnlFUycOBH33Xef//fLL78chw8fZlq4SEWPBY/mXpJIU6cDWJ5/MceT1OBTUxCNUiDtcs671qNytWDmSWRGWpL1bhWHLgZYbb3HOB0YnZWOjaUIilLX6ptH214FxRVYuO5QkI/dmm1HkRrvwoqbhpgy6emtSzu5QYjBrlsunDpoRmBPpO2ukBoXAq8T61MtDXdonVx/eSZe3i4f+ETaDnoWDzSLK62GFzvupnAuQq24njx5En37hidD9vl8/qhsUp5++mmsW7cOhw8fRseOHXHFFVdg5cqVGDBggP+a5uZmPProo3jvvffQ0tKCqVOn4oUXXkCXLl1oi24aepzYae9VizQNFUx2sSrY6Zx3UiXs9Z3HMCorXXP5zLb0GBkhzupM9cBFg1GThVbfPNr2KiiuwH0Xtm1DOd3Uhvve2Y+XZNqY9SJOb13aZeIWF81j+3TC6Kx0UwJ7jMhPbRSh/ebHQ7sqtpG4sFvw1yLid4h1smbrEbyioLSGpiRTKrPexQPN4kqr4eVSTjdld6gV1+zsbPzjH/9Az549g37/8MMPMXz4cKpnffHFF5g7dy5GjRqF8+fP44knnsCUKVNQUlKChIQEAMD8+fORn5+PDz74ACkpKZg3bx5uuukm7Ny5k7bopqHHiZ32XrUtoFDsYFWw21adqITVBfhGyvGbj4txrtULT0pHqoncCksPqwhxOaVKyepBqsyGLhqMmCy0+ObRtpfXJ1w4w14ZqTY2ahGnty7tNnGbGdhj1eERNGjtN7u/Vd6BkOPNnccUx7WYkgxoXyB8X98eXOf1CQg8o4rV4sEuiyuO+VArrk8++SRmz56NkydPwufzYd26dfj666/x5z//GZ9++inVswoKCoL+/dZbb6Fz587Yt28fxo8fj/r6erz++uvIy8vDhAkTAABvvvkmBg0ahN27d2PMmDG0xTcFPU7sWu4NHcDVZ1qC3ANCsdKqYMetOlEJe3jtPtVraxpbMf+vBwHQKRdahLVeKxyLYAq1yVHO6rE4NxvL80tsketUS8ARbXu1R3mrJyUPbWO7LeLsjlZlWhxLR6rOEF1vxeERNGjtNwXFFVj40SFN7zx9Tv0o1DVbj+K9vScuxAwIeGY0MHX1dizKHUwdVExynd0WV3bALi54RkKtuM6cOROffPIJli1bhoSEBDz55JMYMWIEPvnkE0yePFlXYerr6wEA6entE8i+ffvQ1taGSZMm+a8ZOHAgevTogV27dkkqri0tLWhpuTiBNDQ0AADa2tqoXRloEJ/d1taG4d2T0DPNrXiySpfkOAzvnhRWJj33/rBHMoBkbDxUAXeMus3r+/pGtLUlE30fK/aU16L27DnZQCgAqD17Ds/9vQQ/6p2BkT3TTBl0EwdkYPboywAcg9tJZi+sO3sOj6zdh1W3DMOkQcquK9/XN1K1SWFpFVZsOhx0gpAnOQ4Lpw9UfZeInr4EtOe1nf9+EQQgqL1Cv/uafldh3/E6VJ9tQUai299mDgzA/PeLAEj7oT2ZOwA+73n4wk+Q1kXgWBR5MpeuLLTtRXp94D1en4Cn879CrMx9DgBP53+Fa/qZE9hlJ6TaUCuhY0lJ9qiNCTugtd/IjWc1HABSOrpUFVcAeGHb18CF54ty9HSIvMiI70A0VjLiO9i2DewKi3kjEJbjkOZ9ajgEQdDjosYMn8+H66+/HqdPn8aOHTsAAHl5eZgzZ06QIgoAo0ePxrXXXouVK1eGPWfJkiVYunRp2O95eXmIjydLxMzhcDgcDofDMY+mpibMmjUL9fX1SE6WN6pRW1yNYu7cuSguLvYrrVpZtGgRFixY4P93Q0MDLrvsMkyZMkWxIvTS1taGLVu2YPLkyXC52j169Kx+9Nzr9QmYunq7rKUNaPeB/eNPhmHKYHOD3PaU1+LOt/cSXy/aC0ismnppaW3FZ4WFePLfTjT76Cxcb8wepbjtrdYmoqVn40NXYcb//UP2rHbxus2PjCe2wkn1pUCk+hVpO6l9N9D+7VIWWb3IjZHHp/ZD2/GioLFIWxbS9hLbwesTMGXVF6g6o+wu4Am4Z+OhCjz20Zeq3/nMzUMxY4g+dwEWlhij2lEKKXlKi9iGcv0+FD2WKTPR0m9o5a6IWCfXDuisOqeE4nYKWP5DHxb/24mWC/JUlBei9ReQ3gExQ95HE2p9Xcu8AbAZhzSIO+RqUCuuaWlpcDjCP9zhcCAuLg59+/bFHXfcgTlz5hA/c968efj000+xfft2dO/e3f+7x+NBa2srTp8+jdTUVP/vVVVV8Hg8ks9yu91wu91hv7tcLlMqPvA904d2x5Scbpr8TfTc6wKwKHewbBJlkXnvHTTdh25M385IT+xIFY3uALAs/2tMyelmypZpi8+BVq+DKlq+uum8Yv8KbBNAWlgvyh2ML0+dvZC3Uv47j9e14MB3Z4h9u8S+tGbrEawqPBL29xN1LXggL7gvVDed9x97q4TadwPt3z6uP9tJqKC4Ag/kHbxQjxfLeaKuBQs+OISVo6XHPGlZSNsrzh3rv/6JH+fIZhWAxD2dUxKI6rhzSoIu2aVUV6HtrvQMK7KA6JHb/y6rUR1LgPTJgnZGS78hHc+pHV2YMy4LvTLiw+YcufGgRovP4X+3KC+mD+0OhzPGNpllIh2Svk47bwRipv5EgpP2wU8++SScTidyc3OxdOlSLF26FLm5uXA6nZg7dy769++P+++/H6+++qrqswRBwLx58/Dxxx9j69atyMrKCvr7yJEj4XK58Nlnn/l/+/rrr3HixAmMHTuWtuiWIDqPzxzWDWP70Pmq6bl3Wk4mnp81HGq3LP2kBF61ZH4MEQOhALXp5CKBgTBmsOqWYfCk0AVnkARziMFMoc/2pMT5lQcjo57f2/sfyd/F1g/sC3Y4+lMOtQC/wOv0QNJeode/9IsRSI0PF75p8a6wVFhi0JjcOHBA2/GSXp+AXWU1WF90EjuPVGPJBuW6kpIBgc94rvAI7n9nf1iwmhgIVFBcQVU+s6A9WTASlFZAW78hHafPzxqBhyf1k5xz5MYDDaFBxTsen4C1d4/Bc7cOw9q7x2DH4xNUldbAvrmrrMbU+cuuRFO2DBKoLa47duzA7373u6DDBwDg5Zdfxt///nd89NFHGDp0KP7v//4v6GQtKebOnYu8vDysX78eSUlJqKysBACkpKSgY8eOSElJwV133YUFCxYgPT0dycnJePDBBzF27FjbZhSwE2kJbsUE01ZlF5CLRlfDrEE3aVAXTMnphrd2litmZxBJT3ARKxdqKVyMUhhpo+TtcPSnHCTfAgD7jtfptvTSptzxn95FcHKW3lOqpKKHt5RUUo0rKRkgZV2Vu9fq1HpK2HnxpQct/YZ0PI9RmQem5WRiwsAuGPN0IWobyQN25OQFbVYAO+X/thPR2tfloFZcN2/eLBkUNXHiRDz66KMAgBkzZmDhwoWqz3rxxRcBANdcc03Q72+++SbuuOMOAMCqVavgdDpx8803Bx1AwFHHzquwQIVg59FqrNl2VPUeMwddjNOBjKRwlxMpbhxG58KgJKyNUhhp+4Jdjv6UgvRbqs+qp6cigXZyjXE6MK5fBsb1y1C9VuspVVITeGq8K+jELhrEOpVLsySHnRP223nxpRfafsNyPO87XkettNI8Xw6eOk6eaO7rUlArrunp6fjkk08wf/78oN8/+eQTfxqrxsZGJCUlqT6LJKFBXFwcnn/+eTz//PO0RY0atOZls9MqTO4bROveR/u/s92gI62XSdnS/tZaMEph1Jof2C5HfwZC+i0ZiWQLD6uhterKTeBalVagvU6VXDDUsOMWpJ0XXyzQshvAYjzTtnWX5LigPK5asGP+bzsR7X09FGrFdfHixbj//vuxbds2jB49GgCwd+9ebNy4ES+99BIAYMuWLbj66qvZlvQSRc/WiJWrsEBF9Vh1E9buOREU8Rj4DXYddFbVnxEKo9ZvsePpNCTfAgAje6aZWSxdhFp1RT++0DrXo1xKEdjuai4YSth1C9Kuiy9W0O4G6BnPFw9xOEv0rnuuzAJaj+KRif2Q0jEWXp+gWW5E21G9RhDtfT0QasX17rvvRnZ2NtasWYN169YBAAYMGIAvvvgCV1xxBQD4XQY4+tC7NRKoEMphhEJI4iMX+g12HHRWKtSsFUY932K302lIvkW8LhJRWqymdIzVrFyGItbdraMuw6dfniJWSEKfYfctSDsuvqxEy3gm9XsGLhxYEO/C+oMVeHQQsPDjQ2jxOnT5otrZ7c1OXCp9nUpxbWtrw7333ovFixdj7dq1RpWJA3ZbI9NyMnHP+Cy8+o/yoEAtpwO4+6os5gohqY+c1DfYcdBZqVDrVRhD3TMmZ3tstzjQilK7PJk7AK3l6sf32hG1xeqd43oxe1fKhewHUinSSIikLUi7Lb4iCRq/Z3ExdLqpDedagu/Q44tqJ7c3o2B1VOul0NepFFeXy4WPPvoIixcvNqo8nAuw2hopKK7AK9vLw4SOIACvbC/H8B5pzBSW1vM+PPFxsa7ADjsOOjsq1GooWe12PD4hor5FDrl28XnPY2O5uWVhMemQLFY/LjqpqXztCcjd+J+fDUP12RYcq27C6sJvdLkcROKCh0MHrWtKl2Q3ms/7JP2t9fiiRnvwEc+WQAe1q8ANN9yAv/3tb2HBWRy2sNgaMdOhvaC4Ak98fIgq2lQkErZ37KhQyyFnIamob8Z97+zHC7NGYMZQ44UhKwuCElLt4vMyfYUqrCYdksVqbWMb0hNiUdvYSvxcscaXXD8Y4/pmwOsTcOXKrVRKq2hJmz+pH3plJET0godDDqnf87xr+2Bc3x/AJwj4+Wv/kr2OxOAiJzfsFgfBSr7xbAn0UCuu/fr1w7Jly7Bz506MHDkSCQkJQX9/6KGHmBUuGiHt7Cy2Rox2aBe/pbCkEq/vPEZ9v8ix6ibN93KCIbGQzFu7H2swHDOGdjWsDGu2HsWbO8tx+tzFhUw0WhBYTjqkC7gbhnXFGxTjLdQyqiUIi1tX7Y1Ri0TyQxySMLZPJ6wn3BEoLKmUnHPUFoF2cXVitVi1W7aE0H40vLt6digroFZcX3/9daSmpmLfvn3Yty/Yj8zhcHDFVQGazq5na0TsfJsIT7TRYvGkcdZXY3XhNxjgSbxkJ0WWkw6JUuITgAfyDuClC37FLCkorsDCdYcktwqjzYLAetIhXaxOzvbghz3TMG/tAcUDRlLjXXj+thEYE3ICEul4n3dtH/TrksStqzaHhRIlJ4NoDSik17++8xhGZaUHlY90EWi12xbLxaqdsiVI9aOeaW4sGGjoazVBrbiWl5vsPBYl0HZ2rVsjWhRKWod22iTlJFyqOfhY+zbRLEJY13lBcQXuU8hgEcn5FqUmdtaTDs1iNcbpwBo48EBeeH2LtbripiGShyCQjvdxfX8QMe4xejDDpcWo97BQopRk0ORsD5UBJbAPqxEoB2gXgVb1S9aLVbtkS5DrR1UXUlgWllZh+tDuhpaBBqfVBbgUIDlbXeq8cNqz0sXOR6q0Sp1prQbrPJJA8AR/KSHXXnrOgKdZhLCsc7FfqBGJbV1QXIErV27Fba/uxsPvFeG2V3fjypVbsaWkkuj+nUf/K3meeuiZ60D7YhQITusV+O/AxeqMoZl46RcjkEkoH0RozrqP9nPh5dpWy9gz+z1a55XQcinJoC0llVR9UjS4kPSSQDlAswi0EtbltEO2BJJ+tGLTYVuNfWqLKwB899132LBhA06cOIHW1uAggf/93/9lUrBoQo9lhnRrhFah1OrQridJuRqREKTFCqN8m0SlhLSNWNU5bb+IlLZWsmiR+pmu2VaGj/afDLKiK1m5aPz4tGydku7mbCmpjLpI59CDUaQyK7B2aTEq+EavxZ9UBu14fAJ1n7xzXC+8u1t9d1aUA3axPLJ6P+l1dsiWQCK7KxvsdbgDteL62Wef4frrr0fv3r1x+PBh5OTk4NixYxAEASNGjDCijBGP3s5OsjVCqzhodWjXIjiS4mJwplk91DuSc/DRYpRvk6iUKG3ZB8Kqzmn7hd3b2usTsLusBgs/OqQ4sTscUPQzFQlUUgCoKjI0Kcu0bJ2qBbqQlDHSlFdSNyqWLi1GBt/onVdoZBDtAmlytodIcaX1jbVabrAupx2yJUTKoiEQasV10aJF+NWvfoWlS5ciKSkJH330ETp37oyf//znmDZtmhFljHjMGJSkner2sT0xPSdTs38VTRnFp6+8aSiW55dGbQ4+LRgpLKblZOKFWSMwb+1+WaWKdZ3T9Ata9xSzoVFwhAv1GzrpSF0rKimCIChuyy1cdwhJbldYUBVr5JQRALLpsiLVT5nWL59VUIyRwTd65xVaGUSzQBqdlQ5PchyARsm/K/nG2nmOMKKcVmdLiJRFQyDUPq6lpaW4/fbbAQAdOnTAuXPnkJiYiGXLlmHlypXMCxgN0PiUaYW0U03PycRYHROi2rcEIvrazRjalcpP6lLAaGExY2gm1tw2XPJvRtQ5ab9wMH4va2j9xAHgrnG9wvzQpRCVlMqGFsXrTje14eev/8sQX8tQRGVk5rBufrkQKf6GpOjxyydV7uR8gY1coOqdV4yUQTFOBxZOH+gvR2i5AGnfWNLrrcKock7LycSOxydg7d1j8Nytw7D27jHY8fgEU3Y1SGS3J9n6RUMg1IprQkKC3681MzMTZWVl/r9VV1ezK1kUYcagNEM5Bsi+5c5xvcIGHm2gWbRjRnvNGNpVU/COFpT6hUhavMvWba1VwZmU7cGOxydg3rV9mZZHT5CeHiJx61AJPX75oUqblIKqFHhltHKoZ14xWgZNGtQFANAlmUz+RMocYVQ5pRaRZkAiuxdOH2j5oiEQYleBZcuW4dFHH8WYMWOwY8cODBo0CDNmzMCjjz6KQ4cOYd26dRgzZoyRZY1ojN4OMNNXRuu32CEHn10wq73MrHO5fpHa0YU543ph3oR+tm1rr0/AWzvLqRSc0PRU4/pmYM22o8zKZNW2fCRuHSqhRcGW2vKVciFJjXcp5ix+ftYIQ7fA9c4rt47qgVWF30iWC2AjgzY/Mh4HvjtDJH8iZY6IlHKSIvYjuRzcdoNYcV26dCnuu+8+/O///i/Onj3r/+3s2bN4//330a9fP55RQAWjO7uZvjJavyWSjk5lhVz+RrPay8w6j0SBriX3sdTETur/JggCqhpaiCy7ZiYgF4kUf0NSaBVsqbaV85GVm+TFRcfy/BIszh2EuXkHDFugahlzan2epQyilT+RMkdESjlpqJfpz/PfL4LDGWMbqzex4ipciELo3bu3/7eEhAS89NJL7EsVxRjd2c1UHKJx4LJG7YCBSFT01IikfqH1MA2HA7j7qixNh4YAkLxGCTO35e0Q6cwSNUU8lFClTasLibjoSEtwG75ApRlzan1+/qR+tt4d4bCHpI/bKSCTKquAw2F9gTnqRJLioIRZJ9oYBWn+xmhpr0hDT9COTwBe2V6O4T3SghQPUiu61DVKmL0tb3WksxK0ckFNERfQrqz1ykgIyqywq6wG359pRvWZFl25q78/04yZw7rZYoGq1ucdAN7b+x/Mm9DPzGJFDJE+J8lhp6NnSaBSXPv376+qvNbWRkakKYccKwYr66NQWUBTD0bmb+SwgcVhGlJtSGJFF6/Z/W0N5r67H6fPSW/RWbktb8fdgILiCizZ8FVQZgZPshtLrh+sKBdoFHEtriNKdE6Ks43CE2kKip3QOifZpe2ViLSATCrFdenSpUhJSTGqLBwbYoUCadRJM3rLRFMPkTBBRIJANRK9QlipDUms6GJA14qbh+D+CwdG2G1b3k67AQXFFZIHa1Q2tOC+d/bjJRW5QKKIa3UdkUJcdNQ1tuDKlVttsQi3m4JitgzS+j6tc5IdDTBSRFpAJpXieuutt6Jz585GlYVjM6xQIO1oqdRSD3abIEKJFIFqJFadGhaKnbfl7YLXJ2DhukOK1yxcd0hVLigp4npcR0IRS3D95ZmYm3fANotwOykoZssgPRZTLXOSHQ0wcpAEZNrp4BjiPK7cv/XSQm2wAu2D1Uty3iUFdkt+rrUe7DRBhCKXZN+qvKFWQXOYhhIs2tDKBOSRwO6yGtU0Paeb2rC7rEbzO7S4joh9JzXeFfS7JyUOz88agQ0HK0yXoUqYle9bDbNlkJ73aZmTjJ4/5Q680ApJLlc7BWQSK65iVgGOvWHVoa1SIM20VJLUldZ6sMsEEYpVCxI7opbA3YF2hcSsNhStgT8e2hUA8OmXp4jGMOtJzI7s+pbscBvS66TQIlM8KXF46RcjsO+3k8MWHWkJsbZahAP2OKHKbBmk931a5iQj50+lAy9IkZIZcgcrAMCqW4bZahFN7Crg8/mMLAeHASy3Xqza6jbLUilVVz3T3FgwMPg6rfVg15RCkeB7ayZq2/SAdOoqo9qQdgxfOi4fpHWsvS1IZcri3EHISHKH+UiGjhe7ugtZ7ZpCKoNWbfkG4/pm6PZ71SvztMxJRrW9nPtBRX0z7ntnP16YNQIzhiq3n5rMCPQDz4jvgOrS3f5T0OwClY8rx76w9qexaqvbjOTncnVV1dA+kAtLqzB9aHcA+urB6glCCrtOplaiFrRjVhvSjuFI8qHTy9g+nYhOJdOz2CKVPXeMyyJSpOzsLmRlxghS2bJm21Gs2XZU90JMr8wbnZUue0IaID0nGdH2JD7Y89buxxoMx4wLuzahkMoMcRy1tbVhYylxEU2DK65RgBEBTSRJu9PiXVQKJElEp9GWSpJtoxWbDmNKTjfEOB26FWm7pRTSIlAvhewDSkE7ZrQh7Ri2YxCjkYzp3UlReQDa5dGY3toVV9ayR4vCYyaBfd7MMU6rqOtdiOlVIreUVCr2OwHh/cIIAwyJD7ZPAB7IO4CXLpzMGEg0yQyuuEYBRmz/ikJcKv2MSF1TG7aUVBIJE5otTSMtlSSDv7LhYl2xmMzslFKIVqBeOlvRyhjdhrRjmPT63d/WwOlwRPyiI8bpwIqbhijKozuuyMKnX57S9Z0sZY8WhccKzB7jtCeZ6VWqSGWezydgfdHJoP4jKntKpMa7MDnbE/Qbybxx66geVP2VZhdMqq7IXTS+xri+P7BNBgEpuOIaBRi1/Ts526NqMSARJlq2NI2ycmmpKzO3/I22fNAo4nq2oi8FKy1LaPsl6fWhhxtE8qJjWk4mXvrFCCzZUILKhovfnxbvgiAAqwq/8f/mSY7Dkuu1fScL2UOi8KRJKDxmY4W7SaAMIkWP7z3JyWnn2rz4+ev/8v8ujpOUjsoBdkB7NgupcsnNG6nxLggI7q8k45LGUi1VV+QuGmVYs60MmSlxeDJ3APE7zYQrrlGAUb5Ue8prVS0GasJE6/aEUYqP1royY7vYLMsHiSKuZ1vJKiutv8/UN/r/7VK5xy7Q9kvS60NP5Ip0/9fQcXisuhGrCo+EXVfZ0Ex0KIEcei3sJDs7dTIKj1lYuXUsyqAnPj6E2kblNGeBaPW9V1Ii65rawuY5cZzMGddLV7mI+yvBuBQtx6Qp20LLpMVFY/77RVg5muo2U+CKaxRgVEATC0suzZbmuL4ZAPQpPmoKL8k2lSdZuq6M3C422/KhpohrdT+xKmAosM+4YwQ8MxqYuno7FuUqHwVqF0jGcHpCLCrrz2FXWQ1G9kyj2m4ViTRfNinEcej1CRj5uy2K1y4iOJTACCIhCNLqDCPTcjJxrs2H+e8XEd+jJ5AtLGI+0Y1H/yr9bnGcrC86pbtcgf31ypVbFd+nNC5J3PeUyqTFRUPEbkYA4jyuHPtiVG4+FpZcmi3NguIK2UTRFQSJokny25HU1cLpA02d6KzKrSoK1JnDuvn9eUW0TLxWfYdcn6m6YHVb9slXts9vqpYAXABQ09iK+X89iNte3Y2rn92G6y/PlL1eCSvyhxrB7m/VDyWoa2rD7m+1H0qgFTtnFBCxg3LtSSb/fhY5kwNlntPhQGVDi+y14phLT2CTy5lFbtdpOZl4YdYIKE1PoWUSc7Z++uUp3Dqqh/8aEkSJue94HeEd5sAV1yhBLnmweIJLSsdY6gTlLJLo02xp3vfOfixcd0h2NShAXvGhORlFrq66XBCiLHLW0SSFt9tpYYC2ideK7yBRlt/YeUxTkm6zUUoAHkplfTNe2V6Oe8ZnhV0feoqTHJGS8kxuLO0iPCWL9DqW2PUAkkDsoFyTnl7nAPtANtL+f+Owbv4yhJYJFOVitVCYMTQTa24bLvk3qTiFQGPOqsJvkBLvQgqhjBCpPiuv4FsBdxWIIqS2f+saW7A8X9u2O4uIetrtCTULitTWFamlL3ALRqquhndPwuaCTQSlVIbW1cEOlo9QtLifkJZP3O5m4StMc0xnJPh3TsvJxISBXfCXXcdwrKYJfyv6DmeavWHXiVuLGw5W4ItfX4t9x+v89enzCUGBJnKEKiR2DKgrLK3CsvyvJccSiJ0kzLe02/UAkkDMyJmthlI9iaTFu/D0TUOYj1lShXxStgejstJ1B+eyXCjMGNoVLzkdYWVKiXdhzhVZmJztkXXbqm9qgwBg/qR+aPMKRPmRMxLdRGU3C664RhmBfpgFxRWYm3dAl7/htJxMPD9rOH67vjjIiZ500GqJIFWjsv5c0L9JlBcphTfUZ7WtjTxIQA4tPp52sHyEomXiJS3f8vxS1Da2+v+tJ3CLRpmPBP9OqUWPHKIF+y+7jgUlxff6BGqFxK5pz+a/X4Rmb3A7iWPpoYl9iZ4xtneGEUVTxY4HkARiF+VaNnCqowtzxvXCvAn9DCkDjeIe43ToDs5lvVAQjS9rth7BmzuP4fS59iCzVYXfYO2eE2g+71UMvHtv73/wxa+vxUf7v1MsEwCM7JlGVCaz4K4CUQorf8OC4ooLisZFpS49IRaLc8kFryiYUjuyce8OVHoABKXGUYL0Oq1orXOS7TIrthWV3E+kFHDSbb+w9iPwXw5F3D4+UnWG+B7gorL31s5yatcZo5Fzd1FjeX5pkBsErc87jZuNWYhtojSW3v7nMdW+lhrvwhgLcyhPy8nEjscnYO3dY/DcrcOw9u4x2PH4BMuVVhHaMW5kOULrad/iyXh4Un/DFGfacaIUE6BEsI/pZX7FUe19JGwpqcTqwiPh2UMamokyAu07XqdaBwBst8jnFlebonfbjkXEqJz1sK6xFQ/k7cedx3thcraHqGzTcjKR5HYRbWGqkR6ybVFL6H9Dep1WtNY5yXbZuTYv8WEPLKFJA0byHVLQWkJprJJyLM+/eI6hHSyLJMc5KhFq0Se19mlxszEDtWAQAcDpc+dVn7PipiG60uyxcJ+w0wEkUtjldD8r6sloq7iUrBJ90AMVSy3v0yszgPYdq5nDusnWwZO5A9Bavk/HG4yBK642hMW2nV6/SdKglzd2HiMu25g+nTSl8AklNBL1P3VNRPelJ8TqeKs6eupcFKAL1x2SXCnXN7VZ5p9JM6HITQTpCS7FfI2kqXfkFlN6sIPvK42vrhRSyj+JQqLVzcZo9AaDOAA8P2t4UHvSylW9cthon2GWz7e7cm0kRinuSj6mADB/Un/0yojX/D69MgO46N4lVwc+73lsLNf1CkPgiqvNYJUHU6/fpBFBLyQnmKidRx66Ze71CdhwkGwrs7axFV6fYPkZ3HLXTc72YMmGryT/xtI/0+gJVUoIVjY0E+VrVFL+WVgYpLCD7yuLwDsp5V9NIbGLm00oGYluVOu4XwCQlnBxZ4ZWruqVw0b7DNvVJzlSYa24kxzu8N7eE9jx+ATN8kaPzJDyp5WqA194XKgt4D6uNoJlHky96Vhog17Uyib6+bSc9+GRSf39qadEPClxeOkXI7DipiFwQNrfRiolyp7y2jCfSTlCfQFZo7fO95TXquYV1JtOiiTXLQtC/cFI8zUqKf8sLAxyWJ3blGXgHc3YtYubTShiMIieJYRYD7RyVa8cNtpn2I4+yZxgzEgNqFVm2CWrhR644moj9HT20FyHQHvHVIoUVOq4tINCqWxSueQAAfMn9QsLWKANFqBddRop3EmSyM/IabdESk16RqfFsnLCY5HX0ox0YFblNiWpn+Q4sg0ymrFL6j5jtJtNIF6f4Pdx1WNdF+uBVq7qlcNGHsJh1SEfHDrMSHFIIjPS4l3wJAfHhJgdeGcE3FXARmjt7HLbRtdfnim59Z4S78IKlbx4tPlXlcomteVW1dCC1YVH8OIvRoRtT9D4HGlRsI3cFpbz8XQ6AJ8AvL7zGF6X8Qs2Mi2WleeSA2xS75iRDsyqk4xI6mfFTUOxPL+Ead5NT0pHptfpRZRltWfP4ZkLZ6SLY8dflmQ3ms/7/PkoQwmtB1q5qkfpMPoYVauPaeWQQSpHMhLcmnNak8iMp28aYovAO9Zwi6uN0KK4KB2R+vL2ctlAHzXUrIckZdNjHSBNPUKagin03Uac4LSrrAYfHziJk3Xn8KvJ/bE4dxDmjOsFIHjiBaStnEaetmOH07n0pt7R0tak6KlbVqjVz4yhmcyPdhbrVAmz6kVOlgkXxs6d43ph7d1jsHPhRKy4aQgAsnqglat6FpBGW9rseFiJFdCcTGgFJLI8Nd6FRz84qMtti0Smak3jZWe4xdVG0CYo1hOsQmJdk7MeSiFl7THDOqA1BROgLtxJg5iU0jPJVa+UldPIhOB2mfD0RPDqaWtxB+KV7e0hsnY8yQhQrx/W6XsC61SuPqdfcG8x0lJDsiOwqbgSv8nN9mdMIK0HWrmqJ1G80YeJ2PGwErOJhMA0kkDkdqNSSP5VDRlO7JLOzEy44mojaBUXrcEqcgqjlKIWOCgKSyrx+s5jYc+Tm/hplCU9ke40CnYgSsKdVDiqpWdSMgRItYNReQXtNOHpieDV0tbzru2L+ZPbE5kP75Fm25OMRNTqh/VEpebeQpv2TgtaFrmk9UArV/UsII0+RtUOx7RaCausO2YgN666XHB1kdoN1eq2damlM+OKq82gUVz0WscC71dT1Mb26YSxfTpRndlMqgQdq27ClSu36lpBB05ilQ3NWP7pV7J5Q9WEe2FpFR7IO6gqHFmlZwptRyNW0NE04Yn189bO8qCDBOQY1zcjyGIZDdYJ1hOV1AJVzr3FCOVA644AaT3QLgi1LiCNPkbVLse0WoHRfvpGpAmUkjc+QcDPX5M/iIf7KavDFVcbQjq56rWOiffTrGJpJn4SZSkl3oXVhd8wWUEHTmIdXU7c/85+APTCfcWmw0TCkVV6Jql2ZK2YRNuEF+N04I5xWXhtR7li/5Lyz7zUrBOkxDgdGJ2VjgV/LZL8u5FBfGbsCNAuWsTrd5fVYNe31QDa+82Y3sp9x+jTmIx+vl0x0vXMSPeDUHmz/BPpXN2hmOmnbHRub9ZwxdWmkEyuWiP/A61rWlaxpBO/mk+iEPL/JO8mRY9wb0+2Lv2+QOGoV7CYbeWMtgmPxOc1kpRxO2BV1LpZOwK0i5YtJZVB42XNtqNECo3Rlv1o2TmgwSg/fTPdDwqKKyTd7aQwy09ZSWmfOCDDlDLQYmlWge3bt+O6665D165d4XA48Le//S3o73fccQccDkfQ/6ZNm2ZNYW2Ilsj/UOsa6UT11s5yTZGbclGPIkqnZOmNdJ+Wk4kdj0/A2rvHhOWL1UthSaUuwWKVldPIOrECpf616pZhlnyX3SOelTAjiE+qfpRkmVVjRW/e49BobgBM+0U0RosrYYRV3sy8uOK71DAzw4laHy8srTK8DFqw1OLa2NiIyy+/HHfeeSduuukmyWumTZuGN9980/9vt9sted2lipwVTYyi3nCwQtG6RjoBLc8vxWs7yjVZ5qblZMLnAx7I2091n4ieSdKobeHXdx7DyJ5pxBbvsFyUFlo5o22rPNT6lBHfAdWluzFpUBfTyxIJEc9K0CgHWrYX1epHlGW1Z8/5/27FWGHtT0nbLyJt69YMSHYY0xNcqGxoxq6yGqI6M3OHgdS1TIA5izSSPr5i02EsGGhoMTRhqeI6ffp0TJ8+XfEat9sNj8djUokiE6Vto8emDZIVgF6fgOoz5Ec5at068foELM9XX2nKYcSWidTEIOJJjsOJuhZVZXR5fikW52ZjropC7gCw5rbhSEtwR9xEFCkTaKAy3tbWho3qMVvMiaSIZzlIt+zrGlupAypJ62dytge7j36P6tLdeGP2KIzp29n0PqdFoZEbK7T9ItIXP0ZB4hpU29iG+e8XAZCus9A2ancLU4eFvynpM+4c18uUdibp46T1Yza293H9/PPP0blzZ6SlpWHChAn43e9+h06d5Fc+LS0taGm5qIw1NDQAaJ/M2trUE+9rRXy2ke9Q44c9kgEkAwB83vPweeV/LyytwopNh1HZ0Ax3DPk7HACezv8K1/Qj35raU16L2rPnqN4jvqtLchyGd09iWq+B3y7iSY7D41P7AQAen9oP8z84pPqc2rPnkBLnxAuzLg97XuBzF04fiEmDfnDhl/D2sSty9dT+PeZbM0mxYix6fQKezv8KsTHSyx0t48Yqnswd4J/8pYL4bhjaGQve3wcBCBrTdWfP4ZG1+7DqlmFh/YO2foZ3T8KWUmB49yRLxsr39Y1wy5Q19Lq2tmTZsfLY1AF4ZvPXxN9dWFqF+e8XUdWtXTFiHE4ckKEobwMJrTOpNkqLdxG1c0Z8B93fkRHfgehdEwdkmCK7SPq429n+d7NkKel7HIIg6HfeYIDD4cDHH3+MG264wf/be++9h/j4eGRlZaGsrAxPPPEEEhMTsWvXLsTESGtBS5YswdKlS8N+z8vLQ3x8vFHF53A4HA6Hw+FopKmpCbNmzUJ9fT2Sk5Nlr7O14hrKt99+iz59+qCwsBATJ06UvEbK4nrZZZehurpasSL00tbWhi1btmDy5MlwuVyGvUcvXp+Aqau3694CeObmoZgxhGw7Y095Le58ey/V842w7Kl9u9spYPkPffB1HYq6c+excvPXqs98Y/aoiMh9SoNaPYmW8M2PjFe1HqpZbY2w6po1FqXKrgbNuCHB6xOw73gdqs+2ICPRjZE905hZdKWeve94HdFYDh0XGw9V4LGPvlS9T6wfq+WpOAaqGuRdJrokx2HjQ1dhxv/9g4k8zUh0a6pb1mjpU1JjoUeqG/P6NxnahqRzS1q8C3UqR53LpQlkaeUWLepg+C6tMpSkj19mQhsG0tDQgIyMDFXF1fauAoH07t0bGRkZOHr0qKzi6na7JQO4XC6XKRVv1nukIPFH/HdZDY7XtYA8D4E0nVMSiL9zTN/OSE/sqOg31yXZjf/52TBUn20xzJeS9NsX/u0rtHgdcDocsidfib5+VvjfGQ1JPR2va8GB784oBiwUFFcEHORw8Vkn6lrwQN5B3DM+C69sL5f9u16fUCPHoty3qUEzbkjKYKQvpAvAuP7BE19103m0eNW/t7rpfNB3dk5JILovtH6skqcuAItyByvmgl6UOxhfnjrLTJ5+f6ZZU92yREufkhsL/zndbkD64mgtpg/tbkh5Sftj5ZnzUGuj9IRY1Da2+v9thF/x9KHd4XDGMBu3ajJWSYaS9PEFUwehtXyfqfoTCRGluH733XeoqalBZual66AuB6nAsSL3KEny+yXXD8a4vsbmjKP9diWlFYjsHKFKixwWKZFI0sy8+o9yxYhWIxLds0DLiWmsc/ZaFQimNSVRJJ7cRpL3eH3RSV3vCPxu0rR/eoNVWQWRic9SG+crNh3GlJxuhoxjloG7i3MHwZPS0fBAVFY5eFlkvlDr4xMHZGBjOVWxTMFSxfXs2bM4evSo/9/l5eUoKipCeno60tPTsXTpUtx8883weDwoKyvDY489hr59+2Lq1KkWltp+0AgcFgNdi8Jmh+T3Wr/dTqmsWKC2yGGRL5Ek9YtSakQ7H3tIe2Ia64WO0UdfKqFVAY3Uk9vUlAwamaL23WYo93Jjf3HuICzPL6XuUyRjobLBuHFMUmfpCbGoCbCkyuFJ6WiarGGRkpBVKi+lPm5lsLkSliqu//73v3Httdf6/71gwQIAwOzZs/Hiiy/iyy+/xNtvv43Tp0+ja9eumDJlCpYvXx5VuVz1phuincS0nrYFAJ5kN5ZcP1izwmb1aS9av90ntK/GM5Lctk4JRQLJImdytkf3BMrquEIzjz0khbZMrBc6pBPW7m9r4HQ4mI41PQqoHRavWlBSMkiVzcW52Vier/zdRiv3SmP/gbwDivfKKUFmHFihBEmdLZ+Zg+X5JRFl7SeBZd1HWm5vSxXXa665BkqxYZs3bzaxNObDwkeNdtVFkgtPivmT+mPehL5MJj6rBojWbweAjCQ3Zg7rZlTRTIH0lJjJ2R7dEyirLTyzjj2kgbRM867ti3F9M5gvdEgnrLnv7sfpcxctJqx89vQooFYvXllDqmxOy8nE1Bz179Zat2oGEJKxT0Jo3zPiNCtaSOrM6UTEWfvVsEPdW0VE+bhGE6x81LSsuuQGelq8CwKCj2GNtsTXct+uRjQMfpJtPXGRo9c6RmLddjoAQZCfOMVTcHYerQYEoLrRuMA9GkitbPMn92ca4S8qJqSHhgQqrQA7/1evT0BKx1g8NnUAahtbkZ7ohieZvF0izbqjBulYUfruUMXzi19fi33H64iUexIDCK17ixy0vssA/H3DSNQWRJFq7VeCrO7dEWdJJoErrhbA0kdN66pLbqADiBpriByB315Zfw7L80tRJ+MDFbqNFCknSUlBmrJHvE6PdYzEEnX3Ve1ZBUhOwQlEbTElniu+8VAFOqckMG8js/01pRSTUL9rElj4vyopSZEyDoxASZ7uKqtRHD9Kdaq2y0NqADEqKJdkLCycPtCUvqG2ILqUrP0ized92FJSGZGKuRJccbUAlucj63Holxvo0WQNkSPw2zvGxvgHfyChSkikH8VYe5bMUhd4nR7rGImVY3iPNGrrt5LlsKC4Ak/nf4UFA4HHPvoSLV6HIW1klgVHTjGhVVpF9AS9GZnJIHRBOLx7kqbnWEnoWJGSF+kJsfjdzBzMGJrpv0ZrndIYQFgGkYUiNxa6JMcBaLTVSV/Rau1fuO5Q0E6pSH1TW8QcN00DV1wtgLVTtRbrTyRbDlkjDv6n878C0Oj/PVAJiYZz6NMTYpleRwLJFl6o9btWJQJYznIotlHo8ZpGtZHRFhyStFuhltfUeJfkBBYKrQXOyEwGUgpezzQ3FgykK5+d5JmcvKhtbMUDeftx73dZeGzaIF11SmMAYRlEJoXUWBjePQmbCzbJ3sNhw+RsD5ZsKAEQPu7tnlpQK1xxtQDWTtW01p9ItxwawbScTFzTrxM2F2zCMzcPDdpitjL9EEs8KR2ZXkeKmpVD/PuushpVpVUk1HJoVRupfZsehYo0pVhgxgufT8DPX/+X6rNpfbZZ7hIFIqfgVV1wVyksrVJNXm83eUay4Hh5ezniXB101SmNAYR1EJkUoWPBrqmUoo095bWKbmB2Ti2oFa64WoAR+fpIrT/RYDk0CrGuZgzJDDrBw6hJ22zEfqf0LZkWpoXR4ocn3mNlGykldKdVqAKfdaTqLNH7AzNeeH2CIblAjUh7xCJ5vR3lGWkg1Gs7viV6nlyd0hpAWASRcdjAcoeA1diUKpNd4YqrBYir3/suHLUWigBtwR0k1p9osByajRm5Cs3Y6gy0usgpNVYG2WjJ3CDeY6TwVqoPOeX0+sszA46zvYiafy6tvy8QXG9GBY4ZkXpHb/J6u8oz0r7Y2OIluk6uTrUYQKItQCmSEGVLYUklPi46idpGNtl7WIxNOTn2ZO4A6vKYAVdcLyGixXJoNkbnyzNzq1PO6mIHVxGaAyJCJ2UjhbdcvchZ+yrqm/HydulzEtX8c1kcI2tE4BjpCUWV9eewq6yGSBnSu9iwqzyjkQOpHV2oP9emyTqudZHCLarmo7Yo1bNDoHcHV2nXYv77RVg5mqo4psAVVwsQLQVyGGUpsPqUEynsFlQhhZFHMVqx1WlXqwvpARFSk3JdY4tiiig9wluqHUj8GOWg8c+VgyTSm2Ubq7WNAKCmsRXz/3oQANlCSO9iw47yDGiXF+kJsUT+2nPG9cLqwiOareORkJ/U6xPwb5WUYNEMyaJUzw6Bnl0W0oMpvD4BLolrrIIrrhZglaWAdKKoPtMCr08wXLjYLahCDqO2X63c6rSr1YXkgIjQSbmguAJz8w6oKn5ahbdUO7BI6E7qnyuFWAeTsz2yeUJZtzHN4R0kCy+9yeu1KL6sFspKz4lxOvC7mTl4IE/aFUwkMyUO8yb0wwBPki7F064LUZFr/vg5Ks9E16E2pP2IZlGqZ97XuoAh0UUAYN/xOozrb5+0ZlxxtQCrLAWkW7HL80vx2o5yQ4WLHYMqlDDCsmHXrU6rCZ2IMxLdsidnkaaMWnObfH/S0g4sxiatf+68a/ugX5ckfx1sKanElSu3mrrwC0pf1tCM5Z9+FeSrJ0Ky8NKbvJ52J4TVQpnkOTOGZuLe77JkXUYC/clZKJ5mLURpFP///fthDARQ19SKiy3aPpbMlPGsd/Vo+pGWRalW2aKlH5G+q5owB7hZcMXVAqw6Y5h0KxYwVoH0+gQs2fCV7YIq1GBt2dCygIkE1woWkE7EpCmj0hRy02ppBz1jU6t/7ri+P/DXiZULv+D0ZfIpj0gWXnqS19PshLCqL5rnLJqRjcu7p+K364tVA3HsugMSCI3CtvHLU3jjn8fxjIx/pABzZLzWxYpSphCafqRFCdUjW2j7Eem7MhLdWotkCFxxtQAjfSbVIN3uM1KBXLP1KCob5FdwNJZGsxU5PRNMaFlJhYEoXCLFtcJMWOxeaFlIku5ekLiW0MoDli4mesYPq50jPcnrSXZCWNWXlufMGNoVU3MyI36xSaOweX0Cfru+WPWZRu8maV2syMnZxbmDsDy/lKr9aU8sM2rel4NE9gDAyJ5pppWJBK64WoBen0m9ypo4Uby1sxzL80tlrzNiq7qguAKrCr8hulZtwoskRU6qrJ5kN1LjXahvUo8qjjTXCrM4Vt2ofhGAjAS3rC+oloUkyRi+Z3wWNhysUHUtoZUHrFxM9I4fljtHcsnr95TXorrpvKKcU9sJYVVfWp+jdbEbKudH9kzDvuN1pivAtAr7nvJa1Da2wR2j/myjAue0LlaU5OwDeQcU3ynV/jSZUgDz0xGSyB7xOjvBFVeL0OozyUpZi3E6kJFEZvFjJVzUsimEopa6KFIUOfnTgVr8vykpLABsma/SatoXQUdUr0uNd+HRDw4GnS4TOGbUhLcAYPqF04RCj6tVG8OPTRtEtMikkQcsLJ0sxo+RO0eFpVUAgDvf3osWb3t9eZLduG10D/TKSKAKRGNlGTYzNkFKzodmzTBrkU6rsNN8P2t3OBEtiwzSCHs1Ar+f1D1PS1uy2m2Ukz3pCbFYdt0gnD++j/qZRsMVVwuh9ZlkrayZ7WtL46iudIITzWpafK9V23QkZU2JdyGuQ0yQYhWosOwqq+FBXCHQLIJON7Uh9Bzv0DEjJ7wdDkAQgDd2HsMbO4+FTTBqY5j2SNgvfn2tqlWN2C9Nxsrs9QlYuO6Q7oWQUdk2CoorJPNHVja0BC1USCd7mmwq64tO6q53LfIysB8cq26UXJCFpnoza5FOq7CTfn+nhFjDtsW1LDJYZAoBwr9fTrZ0SojFzGFdMTnbQz0vsd5tnJaTCd8FFw/RH7umsRXPbD6MBQOpH2c4XHG1GNJtJBZ+WlJbT2b62tKsxJUmPNLV9JqtR/De3v9Y6kpAUtbTTW14964RcDodkgqLXfNVBmK2r7HeSUZqzAQqoYUllXh95zFZZeH5WcORluDW9b1Kk494hKsUJJbOFAUr89eVZy4o89LILYSk2ph1tg2a9EGkihvJdq3TgSC3KSk5odfCTHM0MAlm7bbQKuxiPdWePad4/fKZObYpM6Bffiq1P8vAXiN2G+VSClZdkB+FpVWYPrQ7dVmNgiuuEcJunVY3taMpWVpMAGkhTSpM5k/qpzjwSAWMlNXCbFcC4nQjjS2yyopVWShI0bv616L0slDSpcZMjNOB0VnpWPDXItl7AGDe2gO6tm31TD4krg1yVub73tmP+FgC50ME17FaG7OalMUFCYl/pPjdaoobyXYtiTVTj4WZ9mhgUszYbaFV2MV6emSt/BbzveOzMGOocfJXyyKDNpCKdr5kkTnCiNzfJC4SKzYdxpScbrZxRXNaXQCOOu2rIeVk1iJSE7o4SYYqvpX1zXhleznuGZ8FT0rwoPWkxGlW7gqKK3Dlyq247dXdePi9Itz26m5cuXIr6hpbkJkSB6WuLyblVkKPghY42XnljlliCAulUxTCcvXmgLJrhZEo9a3739mPguIK1ful+orafSyV9NAxQ5piKxDS7wXIJgq1/ilaOkPHbZcLAX9SiE9ravWqlhEIzmah1sbipDxzWDeM7dPJ8BRxgVTUN2PVlq+xq6xGts7k6kuumAIupmwKfKbcc5TkpVz9iUcDs5BCRu62iIoogDAZJKewTcvJxKpbhoU9Kz3BhRdmDceiGdnGFPYCWspMKmdfmEXX/iyh8d0lwesT8NbOcvUDRRrIn2kG3OJqc2jPMA+d0ElWaBsOVhD51ukpb2V9M+bmHcA947N0W3hpIzVDMdMnlEUAS6ClRwoBwPWXZ5q+Gta7+tdjdRTr1QifNC1KAI21g1WUu5Sl0ycI+Plr/6Iufyip8S6Mzko3/XQ3rQuSNdvKsGZbmaLlO7S+qs+0KGZVAaTbgcbCrOdoYBqM3m3R4hIyaVAXbCwH3pg9SjUzhB3KTGpRn5aTiak51pxUxtJtjNZFxUpXtFC44mpjaISenAJEOknuO15nyjbGhoMVeH7WCCzP1+4TR7JVSoIZA5FVAMu0nEzcM17+JJ5XtpdjeI80UzMp6FHA9CpEYr3eJ6PMkyA3ZrQqAaQKJ8vJJ3T7cX3RSaJnqzHniizEOB2mBwaKC5I6Ff9IOdQWPYH19fEBsroK9BOWeo4SrAJ+5GAdh6CEVpeQ0VnpcLmsOelerswAJAMXSZVdqw6MYOU2RmsQo3m3GXDF1cbQCj0pBUjPJEnre0iqyKQlxGLH4xN056KVEzC3jupBlCvWrIHIIoDF6xOw4aDyNrRWy1dgOysdrxp6z86j/yV6vlTfYmF1nJaTiZd+MQIL1x2SDDZyhPw36aJBr0VfbcwZ6bPMok+nxrswb0JfAOYHBpL4RypBYwWuJTzGUrzOKl9sOfTGIWiBJphY3FreU16LMX07MymjljYILbOavzbrExJZwmIHT8sugCfZGlc0ObjiamNIhV5qRxdW3DxEUgHSOklqCbihmeRYrFiVVtPv7T3BPFuCnsh5vcKQ1fZyKGrbRVJtTrvFJNUHWZ+6tGbrUby5sxynz/3/9s49vKrqzP/fk5CcXCAhIZIEuUVBbiGARC5C1WIQYupl6q9V1JbaVusII5dxFDoiCFouTiujUC2M1nYUxI71MgVxwqUiSECBqEhQwQAqSWgIJCSBcMg5vz/iDicn+7LW3mvvvfbJ+3ken5aTc/Zee6/L+13vete7LgrYzJQEzC0aAgBckwbW3ItahD+vWpuxM/8pa8aB2u+Evtp3lvxwKPfJPyIngUp85Ply8+KVpS+k6xwDHPk9sxsQRb6XyDyuZjM32I3yrmrqz2LZqJZcvOmdEy2XVUQKKNbwJFmP4BWxgsfjEFOuMqdwoBTCXYGEq02ISA/EOuitvOtKjOuXofo3M0bSbOyhG0ZOa4ARnV9SxKBpZTC0w/PFslwUWec8S0x6Akz0qUszCvpj+oR+LX2utgH4eh/enXkNEvwt4oR30qDlJY8UD+FEPq9em7Ej/6nyLoyuveSHQwG0F/N2pIAyixIf+V8/yce/rPukzYSEFaO+kJWayHSdYzVnsXzTF5Zisc0eDTyz4Ar0zUhy9eQsHsLHh/DMEFazuVhNAdUcDKHkq5OY87r1/MVuY3UFj8dGZKYkAGhAwaBMs8W1BRKuNiAqOTCr0RhzmbYY4p2hWYk9dMvIqSEyv6QMp3SJnhSwLheF1/mEgZlcMdfAxbZlNofwyD5pmke1RqJMDAKBFGz4el+b75mZNKh5yU81nG/N8KHXl1jajMj8p5HlZrm2lpiPrKt5RYMxbY14kc3CmMu7YcltQ7nj8QDjvsCywS8rxY+1u48ZZoAwisUWcTQwACm9gAp2beQTsQmUZYXIyU27VrGygsdqI+YVDcJdo3ri3Y3vWC2ucEi4CmZTWRUeWPOxEJEjcmMPq5G0siRt10k6ZhERq+T0rmotRE8KeJaLlDr/751HmH8T3rbM5hC+eVg2rn1qq6sHSKgJ3udi9PsSa5vZ/sgE22LpWNq+2rNp1RWPuBKBkoJqw6cV6J6ajJV3jsCi9WVM7Y+1L4SPV1p9asqo3obHCrPEYos6Glhm7ApnsnJdM5uQZNo9r4fZFTxWW/KzcTkINl+wXE47IOEqmCXvHBQqckR5DllFnNUladEn6VjFaqySXYMxL6InBWYG56M1jUzfm/79fpg18QpDz6OSQ1hNEGklZnf6AAk1jPoSb5uxq93wtn2juhJxWhhrORav/wyzBwIPv/4Jmpp9yE5t8fymJce3ORbVal/QGq+UCdLZQJCpzGqZByLvY+VoYC9gxnawhNSZtUlmU5HJtHvejhMJeWxJkC3ls+OQcBVMywCm3rDMihxRuxxZBkcRS9Iy78rkRabjVkVOCswMzn3Sk5i+N65fRuuSs5kcwiP7pOHap7a67uXWQ68vydRmWGGpq0Xry7D9kQm2vnNFPMfHti1JSx7olgmLcsLcgKwuQvqC3nj1wvtfMV2DJUOB18WpkYjitR1q3v305Dg8cUsubszrYfq6CrxZeZwMZWNBVMihGrI5mHgh4eoCZgyWU4OeqCVprw/SCrIdtypqUsCT8kmp85+M7Yv/2l7O3DbM5hAWlTt0d3mNrYnPtQy5bG2GBTtXFli9RrxhOaJCgcJ//4O8Hm1+z5N5IJphEVEsY0q35HiM7JOm6d2vaQjggTX78KtvTreermXWJvHYWTdC2fRwYl+Flx1MJFxdQCaDFYlscapOEhlXZ3fqIrX7swwiIiYFrCmflLvPKxqEPUdPoTA3Cy/uOMLUNsx6Hq16LDeVVQFoScPT1NxSFtGxsXqGfOLgLGk2KbLC+s53HPoHl3Hj8RqZEc9W+gJL2VgzD7B+z4vwpJAKH1PUONlwHtcs24JzF4K6E+Y/bCvHsJ5puDGv/XVZbRKPnZXJ0+jkvgqvOphi3C5AtJGVIueZ8jyYOY/b62zcX4FJy7cBaImrm7K6BOOXbkHxgUruM6/N3n/80i2YsroEM14tbb3/xv36hw4oNAdD2Hn4JN4q/Vb3zPZwtOo5nKzvNuYsWl+GKatL8OKOIwAAn6/99yLbhlnPoxWP5cb9FZi1rrTd54qRVXufvO9O6+x55R5OtRmRsL7zFVsPM7dLo/cUeQ0nQyxYy6ZMXPXwwphuFiMRBbSIKKXPsIwplXVNqgeGRDLvrf2G19WzSUrd6fWyrklxeOUXo7H9kQnS2DWeCVxHhTyugplTOBAPrPnY895KLy8j8KIXV2d36qLw+5tdFrISCxVZz5EnZynpnyLLpmi7X4zri4LBWaptw6y32uzvzHgqeN8dT8YAmWLIjLz5PKEjLO3STF04FWLBWzajzANeGdPNYMYLPjk3GxMGZuKapcUAzO/uOdlwvt11eWwSa07jcf0zWievMtg6L8bIOw0JV8EUDMqUymBZwavLCDzYkbpIEQmVdedQU9+E9OR4ZKUmqn5fRI5Cq7FQWvXcHAxh/NItumEEG/ZX4tdF6obb7BKf2d8pRjY88Xk4kUbWzLvjMeSyTP5YxDnPaWEs7dKM4AkXz2qICrHgLZtR5gEvjem8mBVRe46ewikGryrvdXltEssmJDs3QZmBdWJWfaYJzcFQ1E6a9CDhagOyGCzCGFGpixSxWnygEm+WHkdNw/l231EbDK1sirE7FkrEhh2zu1fN/I7HyJp9d7yG3O3JH48413rnahjVvRnBoxcjKXLFykzZ3BrT7UiHxINZL7gob6CI/SB6dSfD4TKRsK5+LFpfhv/aXh71kyc1SLjahNsGSw23B0EZEbEsw3oyS4XKYGjl/nbnmBW1ZGXW6PP+jsfImn13XsoYYEacK+/86eIvsGLrIcN7aNU96/MfqW5o829FPC9e/xmAi39LT47HLcN7IDUx3rKXyWwdOj2my+AJNBu2I6L9i4wdVqs7WQ6XiYRn9UOGvNZuQJuzbMDMRhkzv+HB6uYfq9j9fGaxKkS0NnloEULbzQxW7m93LJRIkaYYjluGX4qxl3djNgQ8vzPajBG+OdLsu+O5h9uY3eQRG+PDuH4ZTPfQqvtROenISjFuF2t3H2s3FkzOzca7M68BAPx0dB+kJ8fhZMN5vLjjiJBxywt1yLuxzS4UEQXwbTQ0qn8fgKR4jZgeOBM7LPMmKJZNboD6BrmOAAlXwWwqq9IViGoCzm5R6fYg6LZo1sOKETN7Mkv4YGjl/nZ7/7xg4MMJN7KRRBpZK143r2QMsDKxsVr3sTE+TBnV2/DelXVNqsJAeX//vesoahraxkpaHbdkr0Penfx2Y2ZHf2yMD3MKBwLQfse/+/Ew/P7OK9vlwM12KHuN7JugJudmY/sjEzCvaJDu9zpilgEKFRDMrHWlONfctqsqA63a8ZZdk+JUU4OIWgJwezlExhiicKzE1fGezBJOeAwky0YkAO12vdqdY9aLOX0n52bj6duH43z5njafR8bGWnl3Xjl1xsrERkTd981gO2lNTRgoosyucUvmOjQbxmJnKJiZcJ+CQZnYUA5kpiTg6KmLJ4tFvuNJue7sB/FC2E9sjA8ZXfxM3+1IWQZIuArCaKAFWpIqR6KVz06UqLQ7DlIPt0UzK1pxdUZGzMpAET4YGhlRABi/dItqrJvdwlJmA6+FYjBfnHqV5slZVoWZFzZgWp3YWK17K8Jgz9FTur8RMW7JWodmPIFOxMOajfF9d+Y12PfNGc137NZ+ECcPl7GCFwS205BwFYTRQGsGEYOzm8shbopmXibnZuO6/t3w7sZ3sOy2vNaTs/SMmNmBQm2JVcuIFh+oNPRY2y0sJw7OQpeEOOw8fBJACGMvy8AYjjhVtxiVk464uDjNv1sVZjJuwAxHhNfUirizIgyq65va/0AFq+OWjHXIK1ScXNUy49WV8R0D3llR8orAdhISroJgHWjNIMqzJ+J7PMgeQxSJMkDdODS7VfDoDdQ8SdsV9DYdRA7wduSY5UXNk/P63m+l9bbyIqvXzQqRbXblnVdi0XrzExuzwsOKMMjo7Ec1wz2c9DLxijazS/c8QsXJVS0ZshyIxgsrSl4R2E5CwlUQrAOtGawMzm7O1ry+xGE0UPOkLYn8LQuicsyaRfb4ZFHI6hEyg1abnVc0CGnJfsfFuVlhMLJPGt4ta7+xR8FpLxOvaLMi8niEys7DJx1Z1ZJhLLArhtcLk1cvCGwnIeEqCKOB1gwiBmezszWjQYJlEPHyEgfrQK01oKQnx+GWYT3QMy1J9+QsPdz0WLPubHY7Ppm4iF6bnbZmH567+0rcMvxSx8tlRhiE/81tLxOvaBMh8liFihNjhFNeXT2bYre31wuTVy8IbKcg4SoIvYHWDCIHZ97ZmtEgwTqIeHWJg3egtmtAcdNjzZIxgcWTQ4deiEPvXcq+EdKsMHj69uFYuP5zR71M4e85I9mPBW+zv1eR9cAyrjgxRjixV0HPpgBw3dsrC14Q2E5AwlUwagNtdmoCbh6WjVXfZRWIFHAhtE+LJXpwZhVXRt6C+67Jwapt5cyDiBeXOPYcPcU9UNsxoLjpsa6sY/PQ6H0vGmPi3MLoXXppIyQPBYMycUPupY5NflhPwVOIfK+i68FoXHFijLDbq2tkc1KT4oROyGScTMtYJpkh4SoYvYF2RO80TQHnxBKA0SDIsjy8+v32olX5u9Yg4rUlDqd2NBvhpse6hvEdaH1Phpi4aIHlXTZdCDJdy642a6fhdcrLpPWeWVDeq9PhPSLGCKO64/Xqtl6vtqH13+G5PXg82oB2ykjlOzwTARkn0zKWSXZIuNqA1kBrJOC0Op5TszGW5WG9w1r0BhEvLXFkdGZL+OzEpjK3PNaRp9nwfE/2ZWsvwfou/+P/DWO6nh1tNhoMr9lT8BSU9+pGeI+VMYKl7ni8uuHX88eGsGwUMGn5NjxSOARpyfEoPlCJN0uPo6bhvKjHB8A2ERA1mRZpj2mCbw5Xheu2bdvw1FNPYc+ePaioqMAbb7yBW2+9tfXvoVAI8+fPx+rVq3H69GmMGzcOzz33HPr37+9eoS3CK+CcNAqivACypLcyy8g+abYuv/EOfG54rLNSE01/j3e5lJbJtGF9l/DBlbCSaDG8Zk/Bi3yvLCnyYnzAqQax6RPNjBFadVdRew73v7wXz39Xd6xeXc2c03Xn8MCavdYfUgejiYCoybRIe2ylTB19zIxx8+YNDQ0YNmwYVq5cqfr3ZcuW4ZlnnsHzzz+PXbt2ITk5GZMmTcK5c94WRqwoA0vkgGr1rG4tRHkBrF6nORjCzsMn8Vbpt9h5+KRjZ3IrxMb4MK9okKYAAMwv0W/cX4HxS7dgyuoSzHi1FFNWl2D80i2GdalMeG4ZfinGOpD8XzHAemidVc+zXGr2fXQUWN9ldX1T60aWyJZhV1gJa+YJp/uvGcxMttXeqyLy9AiGgGlr9um2cTNjIM8YweJhnvPXT1vvq3h1syLGhKzUBDx395WYODjLksfaLD5oj0Ph8EymtRBtj82WicZMlz2uhYWFKCwsVP1bKBTC8uXL8eijj+KWW24BAPz5z39GZmYm3nzzTdxxxx1OFtVx3FhuNZNQPxwRXh0Zlh03lVVh0frPVf/Gs0QfOSs+1dCEaWv2ecI7Fe5l0RLwWkKIdeJypLoByzd9qfs+vBQbbQc8S89jL+/maFhJNG0IMzPZzkpNwLyiwUhNjMdbpd+ie5cEjOyThtTEePxsXF+89MERhHQGUq3x24kxkMXDfLoxgBVbDmFGQcsKp55X1yifrFl8aNm4fKoxYCnO32rssR322OzRvtGwwmEVaWNcy8vLUVlZiYKCgtbPUlNTMXr0aOzcuVNTuDY1NaGp6eIyTF1dHQAgEAggENAO8raKcm1R99hdXoOa+rPwx2p/p6b+LEoOnRC6/PdY0QDMWlfKLVyVrvpY0QAEmy8g2Mx/701lVa33Dn/uU/VnMXPtHjx9+3AUDMrkvzAjSt3N+cs+nAv6VN/9o4UDcP2ADMN63lRWhSXvHGyz6z7GB8Rr1KcPwOL1n+G6/vIcpXr9gAz8/s5h7Z4jKyUBcwoHar6HET27oE+aH1V12svWmSkJeP2jo4iPVW9pPgDz3/wEv/nbZ6g60/7eeu1AdF90E9Z3OaJnFwQCAVw/IAPfu3w81n14DMdOnUXvtETcflVvxHeKEf4+TtQ2wK9Rf5HfCwRSuK7tdB0avWcASE3ohN/+eDhqGs4jo7MfpxvPY+k7n7Xr44pzNN5gPVNt/HZqDGStuzUlX+FX3+vTZkzK750CoKU+lbFe7Xr+mFCb/+VFueNvbm3xYPOOQ+FkJHViet6MpE6q17LDHvOWqTkYwuL1n+mOmaJtiNP9kPU+vlBIb07oHD6fr02M6wcffIBx48bh+PHjyM6+OIP48Y9/DJ/Ph3Xr1qleZ8GCBXj88cfbfb5mzRokJSXZUnaCIAiCIAjCPI2NjbjzzjtRW1uLlBTtya60HlezzJ07F7Nnz279d11dHXr16oUbbrhB90VYJRAIoLi4GBMnTmw9594Ku8tr8PM/fWj4vRenXiV8wwXrvcNZ8k9D8YNhPWy/px3Pq1By6ARqvvgI8z6KQVNQe8YaWQY176pZlt2WhxuHai/1NAdD2HP0FKrrm5DR2Y+RfdKk8dBGovZeFC/J+QtBPPz6J6auq3gZ3515jeqzi+6LkbhRB3rvUvHAhXvrwlFKFu6tU7teWlIcbhraA9cN7M70TM3BECYt32boDQ6vJ9Z3Z3cdqtEcDOHap7bi9FnnPPXhY4mTY2BzMIRrl23F6XPGz2o0JinXi2wL/pgQFuUHDcdToKWtdO/ix5P/NLTVoy26Xyn9A1APOdDzZttVN1plUsoVXqYNn1YwjZks9cWK0/1QWSE3QlrhmpWVBQCoqqpq43GtqqrC8OHDNX/n9/vh97dPZxQXF+fIixd1nzH9uiO9c6LhLuEx/boLN5rVjRfQ1Mx3zay0zpaem/We1Y0XbKvHmrMt8Q1NQZ9uWcLLsHF/BR5Y8/F3dWS9HrqnJms+nwzxvzwU5vXUzGm88/BJ7jYWztFTTdj3zRnd2Ek7+rxbdaD3LoEW4bBw/ec4p/FOfQAWrv8cN+ReiuIDlapttvLMBaz+4BhWf3CM6ZniAMwtGoJ/frllx7iaGJhbNAQJ/paUaWbenVPjNgB8dPgkquovQOzB3eqojd9OjoFxAO4cm4OnN31p+F29MSn8elptwWg8Vf7y6x/k4nsDsgzLY5bCvJ7wxcSa6r922WOlTHP++mm7fLVdk+Lgi4ltfffdU5OZ2gdLffHipH5iwdWsAnrk5OQgKysLmzdvbv2srq4Ou3btwtixY10smTOE7051apewAu9GBZZdnaLuaWfuVN78rVZzP4ZjtDvW6QwTotDa6axsBLTSep1Ou+Z2HejtGmfdKFVy+CRTm2V9JqPd5ooYcPvdseBUe9Iav50eA6dP6I+uSdpCgXXHvoJWWzAisq3YyeTcbGx/ZALW3jsG/3nHcKy9dwy2PzLB8N569hho6V/ziszbY7VDFmobA236htGYyVtfXsZV4VpfX4/S0lKUlpYCaNmQVVpaimPHjsHn82HmzJl44okn8Pbbb+PTTz/FT3/6U/To0aNNrtdohtUoAObSp2j9hldU3Dws27KANtspRabOGtknrfVeLGUwm/tR7bqA9kQkmtIOKRgZAha+rDrjWLo02euAVXTt/Kqaqc3yPJORGJD93Sk4caAIoC3UnBYmsTE+LPnhUNX7mXWOhLeFZbflAQB+96Nh7VLrpSfH4Rfj+jILR5GYTS1oJMwXrT/APQFT+oYakX3DTWeWbLgaKvDRRx/h+9//fuu/ldjUqVOn4qWXXsLDDz+MhoYG3HfffTh9+jTGjx+PjRs3IiHBmQFGBlgSS5tZgjP6jVbCaTVWbSvHiN5plgYfM0cXil62Db82SxnMemjCdx4DbY/93Xn4ZLt6jqa0Q+FonviT4se5C0HUNgZ0296KrYexYuthR5bqZa8DdtHFbtR4nknvYBXZ352C1XSAWvjQcsLco0WDkJWaqJnSzY0jnu04mU9pC4FACjZ8vQ83DMnC5LyeUZHWbnJuNoLBEB5Ys6/d38ykpOLtG26dpCgbrgrX6667DnpJDXw+HxYuXIiFCxc6WCr50DMKZvK6sf5GrYNoISKnLE+ntDOf3dO3D8fC9Z8bloHXQ6O8mRVTrkRacnybQbz4QCXGL92iKsLdPofeTrQmZsopPCwTJydyGDp9Bj0vrMdyjr28G1ZsPcR1bavP5Na74z1dSE84mkW525P/lMvUNnmFiYgTlJw4mc9LR37r0RwMYdH6MtW/mcnnaqZvuHGSomxIuzmLMMZMUmSe3ygd5KUd5ZqdVfmdKI8JS6e0+3CGgkGZuhthFHg9NFrGx0iEzyxgO+LYqaVO0agZNZ6JU2Sd28GR6kam77lVB6zeujGXdeP2KvI8k5qQciN+3exqDO+E3QgznjBWYSJyxSlahCUPZkS/6NWDjGS+fRUKHbG+wiHh6mHMdCLe38TG+JDRha1zifKYGHVKnmcYlZNuambKMjCwiIUZ1/fHhWAQQMv1xlzWck1l0KysO4dFf/tMV4Sv3X0MWSkJummH7DiH3m3CDfiOQ9W6nsLwOm9JkC6O5mAIa3cfM/xeVorf1Tpg9dYpbdYI3nalJaTmFQ1m8gbzvjst4WF1NSZSOB6pbsDTm75U7eNG4n9e0SBLy+1a0AlK2rAIUrOiX+Tqwcb9FVjwtnp8q0K0ju1WIeHqYcx0IjO/kWHHfzisz7DpQCVmv1Zqa+oiPbFw87BsrPvo69bPV2w9hOzvPn/74wrmTTKVdU2YVXAFlm/6QtVYWt3RKjOKAedrt2KFqzLBMGLKqN6u1wGLt47Fq8gbU6knpKat2Yv7rsnBqm3lwmI3tUXyICxaX2Z5NSZSOA7I6qLax88GmlV3hCvPtmh9GSblWt+8Go4bx4F7BRZBakX0i7KFWmWIJAT3NlwpEwCgZQy0I/WmWUi4ehgzncjMb1jj55yaFbI+wws7jrT7zA6PhJpYONXQhGlr9rV7XxW15/CHbeXc9+ibkaQrNhatP4CYGEStl8XNyROraO6bkSz83mZgWS0Ib7PFByrxZulx1DScb/07zxI3i5B6++MKrLxzBBatL7O8qURPeKhtmoksj9FSrprHTq2PB4Mh3PXCLkv3MoNXNrs5DYsgnTg4y5LoF2ELedIopiXF2Rb+pIcyAaipP4tlo4Cf/+lDpHdOlGYDGAlXD2OmE5n5jRu7XfVgeQZfxM59Bbs8EuFioTkYwvilW4TuTO7epWVjjcgdrV6Cp90Gmy8IvbdsKw6iUNrs2Mu74d+LBpve7MEqpNKS/dj+yARLm0pYUmuxsONQtakl5HAh+Fbpt0z30pv4mImzlH2joBuweqG7+OMsiX4RtpAnjeKpxoDjE5DwCYA/9uLnMtkYaQ8g6AhYzUFqJq+b2VxwPDll7cboGUJQF60K4YOTHYjK7wq0zd1otKMVkCMfph24mcOwIyT+NpvbEuATUlbuA4jrWyu2HsL4pVva5N3kPSTB6oRm4/4KjF+6BVNWl2DGq6WYsrqkXZl4rmf2ezLCaxtZJ087v6pmur9em7ZqC3knFE5OQLySc5k8ri4hakeoVrxaWnIcnrhFPQWL2VxwMqXh0HuGwtwsvKgSJhCJXQOCqOtGCrKdh0926CVCt3IYyrbiIBtOCimRfdbKEnJzMIRgKISuiXE4fVY7xlVr2dhKnKVsoVuiMWMb2dsFWx81aqtWbCFvP3ByAuKVMBQSri4gekdoS1Jk4NG39rfGqdU0BLBofRliYnya4tVMx5MpDYfWM+wur2ESrnYNCKKuGynIaInQvckTJf7WxkkhJbLPtllCTmBfQq49e94wXZbehMbq5qponkiZtY2s7WLs5d3w+t5vhLRVs7aQJ42i0ys5XrExJFwdxo4doRv3V2DaGv7OLpMINYvaM7jtkTB7Ao/RCTsdYYmQBbfarUwrDlYRkbhewUkhJfp0q9Yl5MMnmb6/6UAlXtxxxPDeehMaEV6taJxIWbGNrGP+mMu6YV7RINV9Ak6J/vD+oofPgbJE4hUbQ8LVYUS74ik1Snvc9kiYOYFHKYneCTtuC3IiOiZ7oo9KBpwTUix9OzUpzvC44PawffuN0m91v9k1KQ4rp1yJMTrxu6K8WtE0kQKs2UbWMb/4QKXmPgEnRb9RSjonjrFWwys2hoSrw4h2xbsVkyLSY2NHOdz2SGjdXyuPK0u53BbkTiBLu4pW7Exc75SQMurbALiPbR17WQZe3/utrsFOT47HybCUYWqcbgwgJsan+8wivVrRMJFSsGobWduFVpuYV+SsUAzvL5V151BT34T05HjV1TaniLQx4chkY0i4OoxoV7wbMSl2eGzsKIfbHgm9+z88eZCpcrktyO1ElnYVrTixOuOUkDLq26zHtrYuIV/eTXdSGAKQe2kq3vviH4ZlMxprveLVchoRtlGrXQDQTVHYcljEAUzKdXZlUsaJR7iNqak/2/q5TDaGhKvDiB60nI5JkeWoQdZyuD0waN3fSrlECXKZvJuytKtoxis7hlnR60ORByy8uOOI4SqF1qTQ5wNCITCJVsB4rDWKcQwBuHkY32lbMvVls4iyjWrtoqNnZOFF6T8lh06guqwEL069ik7O6siIXu51cvYuSzytLOVwE6uCXJR3U4TBpPp0Bq/sGBZF+AELo3LSmVYpwgXvpgOVeGHHEd2c0OHwjLWTc7Nx3zU5mqfordpWjhG905j6YrSsVNgZClV8oJLpe9HS9kUQG+PDqJx0bCiDdBMhEq4uIHK518m4R1aPTclXJzGuX4bl+1ktB8vsOVx4ZSR1jO4gyrspymBGmydQVryyY9gOeFYpFIM9+7VS5uvzjrXNwRDe/lj/oAGWyVq0rVTw2EbWSXNzMIQ3S48z3d/LbT8avO6sdAxLLSEi4y+dintknY1Oe2Uvltw21LYBk7UclXUtaW603m+k8PLHhrBsFLCprAqFeT2FlJVnMHFi4BHl3RRpMDuaJ9AtZIytdNLY8qxS8J7QxTvWipisRetKBYtt5Jk07y6vac1vrkd6cpz0ccVa/SVavO6skHB1EZHxl05sRGKdjZ4+G7B1ts9ajkV/+ww1DRdPtQnvyFrCCwBmrSuFLyZWs+ysxpZnMHFq4JHRYHZkT6CTyJaVQq/NXz/AvhUbFlgnST8d2weFudncY62IyVo0r1To2UbeSTPrux7Rq6vUAl+rv9w8LBurtpVHjdedhRi3C0CIw+o54EYYndkeiV1nGrOWI1y0Ahc78oZPjmsKLwWtsrOeL85z7jnvGelWcNpgsmBUnz44f4KM3fCexS4Kq+esi8KozW8qq3KkHFqwTpIKc7NNjbUZnf2Wv9cRVyqMJs1A+7GbtS73fX3asX7Ii15/+YOKaAW030c0QMI1irDbGCoeGxZ4xYvZcmjlmtMqE9ByNK4Z4cUqMHkGVzMDsRVEeDdFG0yW+pQhd6AoWCc/djE5NxvbH5mAtfeOwX/eMRxr7x2D7Y9McEy0srT5Je8cdKQsWtg+mWLtzjrf64grFWYmzaNy0pGeHG947ZqGgC32yios/UULO+2wm5BwFYxZ8WhVdDplDBWPTdfEOKbv2zXb1/IcGQ1QIbT3xGoRXnYegckzuIr2XhohwiCzGsIj1Q3M5ZLFE2g3TnrX9bB7dUYPljZfWeeul9DuyVR1Q5Pl73XElQozk+bYGB9uHd5D6PWdhDfeWg0Zn8sKFOMqmEnLt+HoqYuDDUucolrsSlZKAqaM6o2+GUmG8apO7yydnJuNLv443PXCLsPvhosc0Rsx1OJ6K2vPYtZrH5u+ZjjhZecRmHYs4YkaeETEOY7KSUdWSoKhuFi7+ximT+jPXMduHxhhN9G6mYYXrxhROze9ivCWyhaz7ARm39vEwVl4cccRYdd3EhH9RcbnsgIJV0EoMVktxvziQGEkHjVFZ905PL3pi9Z/awlgt4zhmMu7ce1QtmvzUWQQ/87DJ5l+l54cj1MN5zXLHump4BGjdizhiRx4rBrk2Bgfpozq3aZ9qlFZ18S9McStAyOc2N0ezZtpePCSEbVrMiUqw0M0n6Snhtn3pvxOq//JfFqZlf4i83NZgYSrAJqDISx55yBmD2z/Nz3xqCc6I9ESwG4ZQ57ZvpMeYdaBbV7RYExbo32eeaSngkeM8g6ubqQosmqQ+2YkMX3PTu+aKLHpVEYHUWncvA5T/0hJAKAdaiJrGi2ea4rylkb7SkU4Zt9b5GllXvJOG/UXLWR/LitQjKsAdpfX6C6basUp8sSuaG3UcXNnKUtcotObj1hj027MUy87ADx9+/B2goUnnownPs7NjUlW4hzd3hgiKqbbyZhTnjRubm3ccgKWNj+nUMUL8B2i4/m9luFBrbxuxiw7jdn35tU4eqP+4gPwq2tykO2x57ICeVwFYFY88opJNe+p2wLCaLbvhkeYdfkssuwZSZ1QXVaCgkGZ7a7JO9PnWcLz4nKfm8nsjTz4v79zGNN1nA6zYfWcRG4erKg9h/tf3ovno8gIGbX56wdkYIPKaaiiV2/cTtzO6y3d8MlxPPrWfs381B0Fs15mr3qnWWzEw5MHXbRlnf0IBkPYVV6D/d/WYuxlGRgTRRMaEq4CMCsezYrJcMErw2k4ektpbnmEWQeo8LIHAgFsKNO/Jo/A5BkkvTagurUxhEVsaoXtRGL3pEptOVvvnRn5+eb89dOo2ril1+YDgfaZP0RPNGQ5LpU1FGHxhgP4w7b2ar4iihPN62E2hMOtOHqrGNkI5bk27q/AA6/sQe3ZC62/XbH1MLomxWHJD+070dJJSLgKQNllrRWTZRQwzhu7Ei54Zd9Z6qZH2I4Bildg8pTBawOqaE8xS9yiyFRKdk6q9Dx5au8sPTkeJw2OpTzdGMCKLYcwo6A/Uxm8cHa5yGNYeSYaXsvwsOGTClXRqhCCXOUl7MGov2zcX4H7v4vjjeR0YyBqVm5IuAogNsaHOYUDcb58D1ecop7oVENLAMu81CyDR1g0XhOYdiLKU8y6ZCvSM2/XpIrFk7f9kQmm0rj98YNyTJ/Qz/D9ur0EzoOawFZD5ETDSxkemoMhPPrWfsPvyVLejoybk8XmYAhzXv/U8HsL3v7M8xMcEq6CKBiUiQ3lQGZKQps8rkbiUUt0RmLkPZV1qVl2jzBhHatCnmfJVqRn3o5JFY8nz0wat9ONAUNxYmUJ3GnDqyWwHysa0O67IicaXjoudXd5DWoMvPEKmw5UChOuXvDYy4Tbk8WSwydx+qzx4Tpm0hTKBglXwbw78xrs++aMpYDxI9UNWLv7GCrr2AUwIK8n0GmPMA243oF3yVZEKiUFOyZVZj15o3LS0TUxjsnw6IkpK0vgThtePYE9a10plo5q+7nIiYbbm1p54BHPL+w4gqty0i3Xl9sizGvIEC+986tq5u8qbcqrtpKEq2BEBYxPn9Dfkw1KIbJDTByc5YhHmAZcb8Er9IzCa0JAa9gOC1qTqrTkOPzT8EuRmhjfmm6IBbOevNgYH+4Z1xdPb/rS8Ld6YsqscHba8LKev94cDEE5XFrkRMNLIUy84tlqrKsMIsxLyBMvzX7tI9UNnraVlMdVIsLz8+0ur8GonHRP5uXTyrNY/N0yll3PJMs58AQ7ZoSeIjZTk+Lafa+rymdGTM7NxvZHJmDtvWPw83F9kZ4cj5qGAF7YcYQ7R6gVT970Cf11yx+eK1gLM+/T6VzLAJvABoA9R0+1+VxULk438yfzoohsVtRyhrPiRltwEjty9vJMFu2Ex2H29KYvcb+HbSV5XCXBy7OfcNyarcsz6yV4sCL0ahvbL6vXNgZUl5mNiI3xofbsefxxxxHuthu+upDR2Y+sFD+q6pq4PXmxMT4s+eFQ1f7DKqbMvE83NiqxCuzq+qZ2n4mK55d5U6uC0rYKc7Pw4o4jzL8zG5vrpU1rvNhlY2WJlx5zWTd0TYrDaZVxkZVIWykrJFwlQE/s3f/yXswq6I++GcnShwy4KR6jecCNZsws2ZpZZjbCbNtVM4ad/Z1af8O7nG1VTLGk2OuaFIdgMNQaAuGG4WUV2Bmd/aqfi4rnl3VTK6Detnw+IMTgJBSRI1zE92TBToeKLPHSysRXKx0WK+G2Mr93ipjCCYaEq8uwGOHwuDezM0QngrCdEI9azxGtA260YyZukWeZedwVF09B0+sDZtquljGsb2pJ/J0YH4vG882tn7OKTytiiiXF3unGAO56YVfrWOKG4WWZsADAyD5pwu6phYybWrXalpFotRqbK4sIE4ndDhWZ4qUn52bj+buvxCOvf4paho2eerTYShKuhApGBjMSMzNEp8IQ7BaPes8RjQNuR4HXy2hmmdmoD/C2XT1jqNB4vhkzru+Pyy7hXy2xIqZYU+wpY8nKO6903PCyTFiU73U0WNqWGiJic2USYaKw26EiW8rHybnZ6OKPw10v7LJ0HZltJW3OchleEccbIO/khiU7xaPRc5xqaEJ2aoLmvkqWjS2Ee4RvkPrPO4Zj7b1jsP2RCaoTK95lZpY+wNt2WSec/11yBD/I6+H4Bkvlfb7yy9HomqgeMKGMHovWH8C8okEAnN2opLfR6unbhwu9l5dgbVvpyW3rlXeDmhpe2rTGihOrcaI2DYpizOXddO2hHl6wleRxdRkzIo51huh0zKlds3WW51i0vgzzigZj2ho5Zr0EP6xeRp5lZtY+8N6/fZ+r7bIauZoG4wMD7CI2xocYn083N6wylqQl+13ZqKQVFhFsvoAN2iecRjWsbWveD4YgKyVBePiXFzat8eDUapxM8dKsp3Ia2cpgs8qPJICEq8uwbKbQwmiAc3rDEsuSybyiwdwdm/U50pLjo2rAJdThWWZmbTt7jp7iWu7jMXJuxlXzeJtuGX6pruG1K05ebcIi0mB6Lck6a9vKSkmwbUIkkwizipPhDzLFSysTkDl//bRdpoGuSXG4Pb8n3v64wpO2koSry7DOjNQwGuDc2LCkN1u/eVg2Fq3nj7UVaXztxGsG0svotbPHiga0HkDA23ZYJz6jctK/y/dqfBSnm7FivN4mLcPr1XR9Xil3m5RqyX5kpSSgqs7dOFOZRJgVnI5Blc0OaKUNXLWtHCvvvBJpyfHSlJUVEq4SwLqZQoF14HJrw5LabP1UQxOmrdlnKh2JKONrJ14xkNEEyzIzb9tRu+bIPmnYc/QU3ir9ts3g/sQtuXhgjX7qGbdjxUR4m7x6kpKVcjspPtTGjq5JcaZTqhHtcSr8QSY7wBZidwDbH5ngubZEwlUSIg3mkepGLN/0haYHlmXgcnOHaLh4bA6GMH7pFtOxtrLvdPWqYY8GjJaZzbSd8Gtu3F+Ba5/aqmqIbszLxq++ycEftqkHY/rgvsCw6m3y6sEeVsrtpPjQGjsUL1lqREJ5ryzlGuGGV9Lu8AfZ7EA05zYn4SoRkUa48XwAq98vR3jygBgfcO/3cpg6gCxpOqx2IKPnCAG446pe+Nsnxx1f7vCqYe8oWOkDLIZo7o2DMaxnVzz61n7UNFwUGDJ52614m7xq/MyW20nxwTJ2JHSKwSu/HI3q+iZPLeXq4aZX0q7VOBF2QLSYj+bc5iRcJWXj/gqs2laumoB61bZyjOidxtTJZdghKqIDaT1HYnwsYnw+IYc0mMGrht1NnPa2mOkDPIboxrwemJSbLVVcWyRmvU1eNX5myu30JJRl7Kisa0KMz4dbhl9q+X4yIJtXkhetscuqHbBDzEdzbnMSrhIiegB1e4eoqA6kPMeKLYfwxx3lOH020OZkIgUnB0GvGna3cMvbwtsHeA2RFzaymCmjV42fmXI7PQm1a+yQbXNQeLm8vDqlN3Y1XQgyXUOtLu0S86Ny0tE1ItQkHB+A9OR4VNaexc7DJ6VpJyyQcJUQOwZQNw2ryBjV4gOVurG/gLODoFcNuxu47W1R6wN0hLA+sseXa2Gm3E7XuR1jh0ybgyLx8uqU0dg1s6A/03Ui69JOMV98oFJTtCrXP9lwHrNe+xiAPO2EBTo5S0KizWiKOo2F5yjE8EHQThQDSSd26WM0QAPsp8GJYuP+CoxfugVTVpdgxqulmLK6BOOXbjF1khbQ8ow7D5/EW6XfYufhk44+i1149SQlM+V2ehIqeuxw8pREM3jVrrGMXWt3H0NWCn9d8oh5M2XmQZZ2wgIJVwmJRi+eiCPxWI9CDMfuQdCrht1p7BqgzWJ8hPB5LlGhJ4K9jmzHWbLCW26nJ6Eixw4ZJ4aReNWuscYiTxnVGwBfXdol5s3YSlnaCQtShwosWLAAjz/+eJvPBgwYgIMHD7pUImdgXeYa2ScNOw+flC6WSQursbZmRKgTg6AMG+BkRyZvC2t+w3lFgzBtzT7DbARuh0A4gdtx8mbhKbcbWVhEjR1eWIb3atgJ65jUNyOJuy7tEvNmx1EZ2gkLUgtXABgyZAg2bdrU+u9OnaQvsmVYBtCbh2Vr5peU2UhaibXl6bxOD4I8BlLWzRN2IpO3hf0IYb+hIfL6hhMevLABTQ2ecrsxCRUxKZBpYqiFLOkZeeEZu8Ze3o2rLu0S81bH0R2HqltOcUuSU2/JWaowOnXqhKysLObvNzU1oampqfXfdXV1AIBAIIBAQDtQ2SrKtUXd4/oBGfj9ncOw5J2DqKwLG0BTEnBjbib+uOMrhAD4Yy/+5lT9WcxcuwdP3z4cBYMyhZTDDM3BEPYcPYXq+iZkdPZjZJ80IYPRiJ5d0CfNr3kUooJyp8eKBiDYfIH53HMRdZjfOwVACgCo3ntTWZVqnc4pHOhqndmNUd35AGSmJGBEzy6W+5BRPZ6obYA/1ngp7ERtA24cmo3r+n9PtT0HAgHsLq9BTf3ZNv0wkpr6syg5dEI6T5LMiB5Pebh+QIZunduFMnY0B0MoOXSCa/zMSOrE1KYzkjo59k7V6lDPrs0pHIjrB2Q4Vj5WO2Vm7DKyA+E8VjQAs9aVAlAX87x2jKXMRqze1pJe0h8TwqJ8oPiz45g4pIeJK/HBWve+UCgkbTDDggUL8NRTTyE1NRUJCQkYO3YsFi9ejN69e+v+JjK8AADWrFmDpKQkO4tLEARBEARBmKCxsRF33nknamtrkZKSovk9qYXrO++8g/r6egwYMAAVFRV4/PHH8e2332L//v3o0qWL6m/UPK69evVCdXW17ouwSiAQQHFxMSZOnIi4uDjb7rO7vAY//9OHht97cepVjnt4NpVVYda60nYzPGXmKMoTrOa1TEuKw01De+C6gd1Ne3jtrMPmYAiTlm9rU+ZwlFn7uzOvkW6pTCROeJyN6lGpCyMPCktdyNwfvQxPX4yWVQyr46fye0Ddc2fHSpye19Ipm8iL2fdsdzuzY6VSrcxdE+Nw+mygXbiGGi0e1yAe+ygGXTsn2m6f6urqkJGRYShcpQ4VKCwsbP3/eXl5GD16NPr06YPXXnsNv/jFL1R/4/f74ff7230eFxfnSOex+z7VjRfQ1GzccKobLzg6WDQHQ1i4/nOc0yibD8DC9Z/jhtxLLTf8wryeuCH3UtviRO2ow48On8TRU01ov+f0IkdPNWHfN2c8GUfIit11F45WPcYBmFs0BP/88l4A6kZ+btEQJPjjDe8xpl93pHdONIxRG9Ove1RPSOzCqC9u3F+BB9Z8/N27v/h+j51qwgNrPvbMxjgR42dhXk/4YmIdy+PKmjPWKdvLgpX3bLvdATDuCrETC60yFx+obFd3epwL+hyxT6ztRGrhGknXrl1xxRVX4NChQ24XxTVk2uQSjtO7WpUNF8pGp799clzqjU5e2DzhFDJs8hG1CcerG06igWjaGCdq/HQq+wNLJo3rB2QIvacIrL5nGcYuFow2AEe2ky+rzmDF1sOG15XFPnlKuNbX1+Pw4cP4yU9+4nZRXEPWlCJuCDOZT4mJRNYJR0dGlJGndGju4IUUUKyIHD/tFlesE4br+n/PtjKYpSM4EFjtYng72Xn4JJNwlcU+SS1cH3roIdx0003o06cPjh8/jvnz5yM2NhZTpkxxu2iuIauHx2lh5rXcmTJOOOxKy+WldF+ijLxX85x6mWgSIV6a2LJOGPYcPeVcoRjx0ns2g1m7yGKfZDoBUmrh+s0332DKlCk4efIkLrnkEowfPx4lJSW45JJL3C6aq8jo4XFSmHlxiVC2CYcob3WkSD3VcB6L1nvDCy4arywjsiL7BCSaRIiME1stWCcC1fVNxl9yGC+9Z16s2EU9+6QgU8iT1ML11VdfdbsI0iKbh8dJYWbHEqFipJXr27GZRpYJhyhvtZr4VUNWL7jXcFJIeiEMJ5pEiGwTWz1YJwIZnf2otrksvCjv+f7vNmaGI9t75sWqXdSyT0BLpgVZ+j0guXAl9JHNw+OUMBO9RKgY6Zr6s1g2Cvj5nz5EeudEW4y02xMOUd5qLfGrhqxecC/hpJD0ShiOl8QeC7JMbI3gOZL83TKnS8dG16Q4nG5sm+w+NSkOS344VJr3zIsIuxhpnzKSOqG6rES6tHIkXAmhOCHMRC4Rhhvp8NOP7DTSbk44RHir9cSvlesS7WkOhrBiy5d4etOX7f5mRxv1WhiOV8QeK25PbFnw8oRBb8Jd2+j8KW0iEWUXw+1TIBDABgknHyRcCeHYLcxELRF6zUiLQMSs3Ej8irg/0WJkF7x9QPPQCjvaqBd36ntB7PEg20qaGiwThnNN5wEAGz6tQPfUZNfrhGXC7eXxPppCZ4wg4Up4DlEzfi8aaauImJVbEZ9e2CgjA6yhGKLbqFd36ntB7EUbehOGjfsrsHj9Z5g9EHj49U/Q1OxzPUY62sd7L3vCeYlxuwAEYQZlxp+V2lYIZaUmMC+detVIW0GZlWsNXSxpT8yIT9nSqciMmVAMUW00mnbqE/ajTBhuGX4pxl7erVW0/vPLe9utFCihLRv3V7hS1o4w3ouwi16APK4EFzKlyLG6RNgRjbSIWbnRklQk0TbbtxszoRii2mhHWm4kxCNz+FVG5/ZHwVv5nqxEW+iMGiRcCWZkTJFjZYmwoxppqxtaWHL+hePVjTJuwePxEd1GO9JyIyEeqZfjWZcweJY6JCXaQ2dIuBJMeCVFDg+RRjqcaDfSVmflWuI3OzUB84oGIS3ZH7Wzfbvh9Z6KbqPRtlOfcA6Zl+OrG9gORGD9HuEeJFwJQ2Re/rFKuJGuqT/b+nlHMNJWZ+UdYUnKDVhDMbJS/Fhw8xBb2ijVLWEGmcOvZC4bwQcJV8IQqZd/BKAY6ZJDJ1BdVoIXp15ly8lZ0Ui0L0m5AUsoxqyCKzB9Qj9b2yjVLcFL+KRLDTfDrzpqaFg0QlkFCENkXv4RRWyMr3XAIs8S4TZau4OzUxPw/N1XYkZBf2qjhHQoky4A0oVfyVw2gg/yuBKG0BILQTgPLdcTXkSZdC1e/xmAhtbPZQi/ovjt6ICEK2EILbEQhDtEw3K9TCn0CGeYnJuN6/p3w7sb38Gy2/KkODkrvGw0IfQ2JFwJQyhFDkEQZpAxhR7hDIo9uHFoNuLi4lwuTVuiYULYkaEYV4KJjnIiB0EQYlBS6EVu7HT7BCWCILwNeVwJZmiJhSAIFqI5hR5BEO5CwpXggpZYCIIwItpT6BEE4R4kXDswtGmCIAg76Agp9AjrkA0izEDCtYNCmyYIgrALmVPokViSA7JBhFlIuHZAlE0TkfFnyqYJ2mxFEIQVZE2hR2JJDsgGEVagrAIdDKNNE0DLponmoN4p6QRBENrIeEoRZTmQA7JBhFVIuHYweDZNEARBmEWmFHokluSBbBBhFQoV6GDQpgmCIJxClhR6lOVAHsgGEVYh4drBkHnTBEF4Edrso48MKfRILMkD2SDCKiRcOxiybpogCC9Cm328AYkleSAbRFiFYlw7GDJumiAIL0KbfbyDIpa0RjUfWiYcJJbsh2wQYRUSrh0QmTZNEIQXoc0+3oLEklyQDSKsQKECHRRZNk3YDcUfEnZAm328hyKWIkM7sii0wxU6ig0ixEPCtQMjw6YJO6H4Q8IuaLOPNyGxJBfRboMIeyDhSkQldDILYSe02ce7kFgiCG9DMa4S0RwMYefhk3ir9FvsPHyS4uNMQvGHhN3QZh+CIAh3II+rJNCytjgo/pCwG2Wzzz+/vBc+oM0kiTb7EARB2Ad5XCWA0uqIheIPCSegndEEQRDOQx5XlzFa1vahZVl74uAs8t4wQvGHhFPQZh+CIAhnIeHqMrSsLR46mYVwEtrsQxAE4RwUKuAytKwtHko2ThAEQRDRCQlXl6FlbXug+EOCIAiCiD4oVMBlaFnbPij+kCAIgiCiCxKuLkNpdeyF4g8JgiAIInqgUAEJoGVtgiAIgiAIY8jjKmw8t/8AAA2gSURBVAm0rE0QBEEQBKEPCVeJoGVtgiAIgiAIbShUgCAIgiAIgvAEJFwJgiAIgiAIT0DClSAIgiAIgvAEJFwJgiAIgiAIT0DClSAIgiAIgvAEnhCuK1euRN++fZGQkIDRo0dj9+7dbheJIAiCIAiCcBjpheu6deswe/ZszJ8/H3v37sWwYcMwadIknDhxwu2iEQRBEARBEA4ivXD93e9+h3vvvRf33HMPBg8ejOeffx5JSUl48cUX3S4aQRAEQRAE4SBSH0Bw/vx57NmzB3Pnzm39LCYmBgUFBdi5c6fqb5qamtDU1NT677q6OgBAIBBAIBCwrazKte28B2EvVIfRAdWj96E69D5Uh97H6TpkvY/UwrW6uhrNzc3IzMxs83lmZiYOHjyo+pvFixfj8ccfb/f5//3f/yEpKcmWcoZTXFxs+z0Ie6E6jA6oHr0P1aH3oTr0Pk7VYWNjI9P3pBauZpg7dy5mz57d+u+6ujr06tULN9xwA1JSUmy7byAQQHFxMSZOnIi4uDjb7kPYB9VhdED16H2oDr0P1aH3cboOlRVyI6QWrhkZGYiNjUVVVVWbz6uqqpCVlaX6G7/fD7/f3+7zuLg4R168U/ch7IPqMDqgevQ+VIfeh+rQ+zipn1iQenNWfHw8Ro4cic2bN7d+FgwGsXnzZowdO9bFkhEEQRAEQRBOI7XHFQBmz56NqVOnIj8/H6NGjcLy5cvR0NCAe+65h+n3oVAIALsL2iyBQACNjY2oq6uj2aVHoTqMDqgevQ/VofehOvQ+TtehotMU3aaF9ML19ttvxz/+8Q889thjqKysxPDhw7Fx48Z2G7a0OHPmDACgV69edhaTIAiCIAiCsMiZM2eQmpqq+XdfyEjaepxgMIjjx4+jS5cu8Pl8tt1H2QT29ddf27oJjLAPqsPogOrR+1Adeh+qQ+/jdB2GQiGcOXMGPXr0QEyMdiSr9B5Xq8TExKBnz56O3S8lJYU6qcehOowOqB69D9Wh96E69D5O1qGep1VB6s1ZBEEQBEEQBKFAwpUgCIIgCILwBCRcBeH3+zF//nzVHLKEN6A6jA6oHr0P1aH3oTr0PrLWYdRvziIIgiAIgiCiA/K4EgRBEARBEJ6AhCtBEARBEAThCUi4EgRBEARBEJ6AhCtBEARBEAThCUi4CmLlypXo27cvEhISMHr0aOzevdvtIhGMLF68GFdddRW6dOmC7t2749Zbb8Xnn3/udrEICyxZsgQ+nw8zZ850uygEB99++y3uvvtudOvWDYmJiRg6dCg++ugjt4tFMNLc3Ix58+YhJycHiYmJuPzyy7Fo0SLDs+cJd9m2bRtuuukm9OjRAz6fD2+++Wabv4dCITz22GPIzs5GYmIiCgoK8OWXX7pTWJBwFcK6deswe/ZszJ8/H3v37sWwYcMwadIknDhxwu2iEQy89957mDZtGkpKSlBcXIxAIIAbbrgBDQ0NbheNMMGHH36IP/zhD8jLy3O7KAQHp06dwrhx4xAXF4d33nkHBw4cwG9/+1ukpaW5XTSCkaVLl+K5557DihUrUFZWhqVLl2LZsmV49tln3S4aoUNDQwOGDRuGlStXqv592bJleOaZZ/D8889j165dSE5OxqRJk3Du3DmHS9oCpcMSwOjRo3HVVVdhxYoVAIBgMIhevXrhX/7lXzBnzhyXS0fw8o9//APdu3fHe++9h2uuucbt4hAc1NfX48orr8Tvf/97PPHEExg+fDiWL1/udrEIBubMmYMdO3bg/fffd7sohEl+8IMfIDMzEy+88ELrZ7fddhsSExPx8ssvu1gyghWfz4c33ngDt956K4AWb2uPHj3wr//6r3jooYcAALW1tcjMzMRLL72EO+64w/EyksfVIufPn8eePXtQUFDQ+llMTAwKCgqwc+dOF0tGmKW2thYAkJ6e7nJJCF6mTZuGoqKiNv2R8AZvv/028vPz8aMf/Qjdu3fHiBEjsHr1areLRXBw9dVXY/Pmzfjiiy8AAB9//DG2b9+OwsJCl0tGmKW8vByVlZVtxtTU1FSMHj3aNY3TyZW7RhHV1dVobm5GZmZmm88zMzNx8OBBl0pFmCUYDGLmzJkYN24ccnNz3S4OwcGrr76KvXv34sMPP3S7KIQJvvrqKzz33HOYPXs2fv3rX+PDDz/Egw8+iPj4eEydOtXt4hEMzJkzB3V1dRg4cCBiY2PR3NyMJ598EnfddZfbRSNMUllZCQCqGkf5m9OQcCWIMKZNm4b9+/dj+/btbheF4ODrr7/GjBkzUFxcjISEBLeLQ5ggGAwiPz8fv/nNbwAAI0aMwP79+/H888+TcPUIr732Gl555RWsWbMGQ4YMQWlpKWbOnIkePXpQHRLCoFABi2RkZCA2NhZVVVVtPq+qqkJWVpZLpSLMMH36dPztb3/D1q1b0bNnT7eLQ3CwZ88enDhxAldeeSU6deqETp064b333sMzzzyDTp06obm52e0iEgZkZ2dj8ODBbT4bNGgQjh075lKJCF7+7d/+DXPmzMEdd9yBoUOH4ic/+QlmzZqFxYsXu100wiSKjpFJ45BwtUh8fDxGjhyJzZs3t34WDAaxefNmjB071sWSEayEQiFMnz4db7zxBrZs2YKcnBy3i0Rwcv311+PTTz9FaWlp63/5+fm46667UFpaitjYWLeLSBgwbty4dmnovvjiC/Tp08elEhG8NDY2IiamrayIjY1FMBh0qUSEVXJycpCVldVG49TV1WHXrl2uaRwKFRDA7NmzMXXqVOTn52PUqFFYvnw5GhoacM8997hdNIKBadOmYc2aNXjrrbfQpUuX1rid1NRUJCYmulw6goUuXbq0i0lOTk5Gt27dKFbZI8yaNQtXX301fvOb3+DHP/4xdu/ejVWrVmHVqlVuF41g5KabbsKTTz6J3r17Y8iQIdi3bx9+97vf4ec//7nbRSN0qK+vx6FDh1r/XV5ejtLSUqSnp6N3796YOXMmnnjiCfTv3x85OTmYN28eevTo0Zp5wHFChBCeffbZUO/evUPx8fGhUaNGhUpKStwuEsEIANX//vjHP7pdNMIC1157bWjGjBluF4Pg4H//939Dubm5Ib/fHxo4cGBo1apVbheJ4KCuri40Y8aMUO/evUMJCQmhyy67LPTv//7voaamJreLRuiwdetWVRs4derUUCgUCgWDwdC8efNCmZmZIb/fH7r++utDn3/+uWvlpTyuBEEQBEEQhCegGFeCIAiCIAjCE5BwJQiCIAiCIDwBCVeCIAiCIAjCE5BwJQiCIAiCIDwBCVeCIAiCIAjCE5BwJQiCIAiCIDwBCVeCIAiCIAjCE5BwJQiCIAiCIDwBCVeCIAiCIAjCE5BwJQiCsIGf/exnrpzl/dJLL6Fr166G39u+fTvGjRuHbt26ITExEQMHDsTTTz9tfwEJgiAs0MntAhAEQRDOk5ycjOnTpyMvLw/JycnYvn07fvWrXyE5ORn33Xef28UjCIJQhTyuBEEQDnDdddfhwQcfxMMPP4z09HRkZWVhwYIFbb7j8/nw3HPPobCwEImJibjsssvwP//zP61///vf/w6fz4fTp0+3flZaWgqfz4cjR47g73//O+655x7U1tbC5/PB5/O1u4fCiBEjMGXKFAwZMgR9+/bF3XffjUmTJuH999+34ekJgiDEQMKVIAjCIf70pz8hOTkZu3btwrJly7Bw4UIUFxe3+c68efNw22234eOPP8Zdd92FO+64A2VlZUzXv/rqq7F8+XKkpKSgoqICFRUVeOihh5h+u2/fPnzwwQe49tpruZ+LIAjCKUi4EgRBOEReXh7mz5+P/v3746c//Sny8/OxefPmNt/50Y9+hF/+8pe44oorsGjRIuTn5+PZZ59lun58fDxSU1Ph8/mQlZWFrKwsdO7cWfc3PXv2hN/vR35+PqZNm4Zf/vKXpp+PIAjCbijGlSAIwiHy8vLa/Ds7OxsnTpxo89nYsWPb/bu0tNS2Mr3//vuor69HSUkJ5syZg379+mHKlCm23Y8gCMIKJFwJgiAcIi4urs2/fT4fgsEg8+9jYloWyUKhUOtngUDAUplycnIAAEOHDkVVVRUWLFhAwpUgCGmhUAGCIAiJKCkpaffvQYMGAQAuueQSAEBFRUXr3yO9sfHx8WhubjZ172AwiKamJlO/JQiCcALyuBIEQUjEX/7yF+Tn52P8+PF45ZVXsHv3brzwwgsAgH79+qFXr15YsGABnnzySXzxxRf47W9/2+b3ffv2RX19PTZv3oxhw4YhKSkJSUlJ7e6zcuVK9O7dGwMHDgQAbNu2Df/xH/+BBx980P6HJAiCMAl5XAmCICTi8ccfx6uvvoq8vDz8+c9/xtq1azF48GAALaEGa9euxcGDB5GXl4elS5fiiSeeaPP7q6++Gvfffz9uv/12XHLJJVi2bJnqfYLBIObOnYvhw4cjPz8fK1euxNKlS7Fw4ULbn5EgCMIsvlB4sBRBEAThGj6fD2+88YYrJ24RBEF4AfK4EgRBEARBEJ6AhCtBEARBEAThCWhzFkEQhCRQ5BZBEIQ+5HElCIIgCIIgPAEJV4IgCIIgCMITkHAlCIIgCIIgPAEJV4IgCIIgCMITkHAlCIIgCIIgPAEJV4IgCIIgCMITkHAlCIIgCIIgPAEJV4IgCIIgCMIT/H8JvsjrnNtJcwAAAABJRU5ErkJggg==\n"},"metadata":{}},{"output_type":"stream","name":"stdout","text":["Correlation between Input 3 and Target: 0.0043\n","Weak or no linear relationship detected.\n","------------------------------\n"]}],"source":["if X is not None:\n"," num_inputs = X.shape[1]\n","\n"," # Create scatter plots\n"," for i in range(num_inputs):\n"," plt.figure(figsize=(8, 6))\n"," plt.scatter(X[:, i], y)\n"," plt.xlabel(f\"Input {i+1}\")\n"," plt.ylabel(\"Target\")\n"," plt.title(f\"Scatter Plot: Input {i+1} vs. Target\")\n"," plt.grid(True)\n"," plt.show()\n","\n"," # Comment on the relationship\n"," correlation = np.corrcoef(X[:, i], y)[0, 1]\n"," print(f\"Correlation between Input {i+1} and Target: {correlation:.4f}\")\n","\n"," if abs(correlation) > 0.7:\n"," print(\"Strong relationship detected.\")\n"," elif abs(correlation) >0.3:\n"," print(\"Moderate relationship detected.\")\n"," else:\n"," print(\"Weak or no linear relationship detected.\")\n"," print(\"-\" * 30)\n","else:\n"," print(\"Data loading or splitting failed.\")"]},{"cell_type":"markdown","metadata":{"id":"lkZbUkFNIFSK"},"source":["### 3. Model Training with StatsModel"]},{"cell_type":"markdown","metadata":{"id":"ui3SOg1MIFSK"},"source":["Tasks:\n","\n","1. Using the training set to train the model using statsmodel package\n","\n","2. Print out the summary results and identify the significant and insignificant inputs\n","\n","3. Drop out the insignificant inputs if there are any, retrain the model, and print the summary results\n","\n","4. Comment what you understand by insignificant inputs.\n","\n","\n","Note: use different variable names for dropping the insignificant inputs:\n","\n","Ex. $X^s_{train}$, $y^s_{train}$, $X^s_{test}$, $y^s_{test}$"]},{"cell_type":"code","execution_count":43,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"KjY254VmIFSK","executionInfo":{"status":"ok","timestamp":1741247587401,"user_tz":-420,"elapsed":3,"user":{"displayName":"Mr Ravy","userId":"17903450120846136725"}},"outputId":"14fc1234-2db1-45d6-d436-fdcab07a7a90"},"outputs":[{"output_type":"stream","name":"stdout","text":[" OLS Regression Results \n","==============================================================================\n","Dep. Variable: y R-squared: 0.954\n","Model: OLS Adj. R-squared: 0.954\n","Method: Least Squares F-statistic: 5552.\n","Date: Thu, 06 Mar 2025 Prob (F-statistic): 0.00\n","Time: 07:53:07 Log-Likelihood: -1659.6\n","No. Observations: 800 AIC: 3327.\n","Df Residuals: 796 BIC: 3346.\n","Df Model: 3 \n","Covariance Type: nonrobust \n","==============================================================================\n"," coef std err t P>|t| [0.025 0.975]\n","------------------------------------------------------------------------------\n","const 4.7232 0.180 26.205 0.000 4.369 5.077\n","x1 3.0327 0.024 128.833 0.000 2.986 3.079\n","x2 0.1659 0.071 2.337 0.020 0.027 0.305\n","x3 0.0304 0.024 1.279 0.201 -0.016 0.077\n","==============================================================================\n","Omnibus: 0.420 Durbin-Watson: 1.988\n","Prob(Omnibus): 0.811 Jarque-Bera (JB): 0.299\n","Skew: -0.026 Prob(JB): 0.861\n","Kurtosis: 3.079 Cond. No. 20.5\n","==============================================================================\n","\n","Notes:\n","[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"]}],"source":["# Add a constant (intercept) to the training data\n","X_train_const = sm.add_constant(X_train)\n","\n","# Train the model using statsmodels\n","model = sm.OLS(y_train, X_train_const).fit()\n","\n","# Print the summary results\n","print(model.summary())\n"]},{"cell_type":"code","source":["# Identify significant and insignificant inputs\n","p_values = model.pvalues[1:] # Exclude the constant's p-value\n","significant_inputs = np.where(p_values < 0.05)[0] # Assuming 0.05 significance level\n","insignificant_inputs = np.where(p_values >= 0.05)[0]\n","\n","print(\"\\nSignificant Inputs (indices):\", significant_inputs)\n","print(\"Insignificant Inputs (indices):\", insignificant_inputs)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"6ctIlrOYRXs0","executionInfo":{"status":"ok","timestamp":1741247587405,"user_tz":-420,"elapsed":3,"user":{"displayName":"Mr Ravy","userId":"17903450120846136725"}},"outputId":"448c0eca-879a-4d3e-f225-23589dcee6f7"},"execution_count":44,"outputs":[{"output_type":"stream","name":"stdout","text":["\n","Significant Inputs (indices): [0 1]\n","Insignificant Inputs (indices): [2]\n"]}]},{"cell_type":"code","source":["if len(insignificant_inputs) > 0:\n"," significant_columns = np.concatenate(([0], significant_inputs + 1)) #add constant index back.\n"," Xs_train_const = X_train_const[:, significant_columns]\n"," Xs_test = X_test[:, significant_inputs]\n"," Xs_test_const = sm.add_constant(Xs_test)\n","\n"," model_reduced = sm.OLS(y_train, Xs_train_const).fit()\n"," print(\"\\nModel Summary after dropping insignificant inputs:\")\n"," print(model_reduced.summary())\n","else:\n"," print(\"\\nNo insignificant inputs found. No model retraining needed.\")\n","\n"," print(\"\\nUnderstanding Insignificant Inputs:\")\n"," print(\"Insignificant inputs, as indicated by their high p-values (typically > 0.05), suggest that they do not have a statistically significant linear relationship with the target variable, given the other inputs in the model. In other words, their coefficients are not reliably different from zero. Removing them can simplify the model and potentially improve its generalization performance by reducing noise. They contribute little to explaining the variance in the target variable.\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"thpOSwEeVWxU","executionInfo":{"status":"ok","timestamp":1741247587408,"user_tz":-420,"elapsed":2,"user":{"displayName":"Mr Ravy","userId":"17903450120846136725"}},"outputId":"a1a295a2-ea76-43ad-a8f5-89d3c99777b4"},"execution_count":45,"outputs":[{"output_type":"stream","name":"stdout","text":["\n","Model Summary after dropping insignificant inputs:\n"," OLS Regression Results \n","==============================================================================\n","Dep. Variable: y R-squared: 0.954\n","Model: OLS Adj. R-squared: 0.954\n","Method: Least Squares F-statistic: 8321.\n","Date: Thu, 06 Mar 2025 Prob (F-statistic): 0.00\n","Time: 07:53:07 Log-Likelihood: -1660.5\n","No. Observations: 800 AIC: 3327.\n","Df Residuals: 797 BIC: 3341.\n","Df Model: 2 \n","Covariance Type: nonrobust \n","==============================================================================\n"," coef std err t P>|t| [0.025 0.975]\n","------------------------------------------------------------------------------\n","const 4.8763 0.135 36.172 0.000 4.612 5.141\n","x1 3.0328 0.024 128.788 0.000 2.987 3.079\n","x2 0.1692 0.071 2.385 0.017 0.030 0.309\n","==============================================================================\n","Omnibus: 0.648 Durbin-Watson: 1.984\n","Prob(Omnibus): 0.723 Jarque-Bera (JB): 0.507\n","Skew: -0.032 Prob(JB): 0.776\n","Kurtosis: 3.105 Cond. No. 11.6\n","==============================================================================\n","\n","Notes:\n","[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"]}]},{"cell_type":"code","source":["#TODO\n","# Comment what you understand by insignificant inputs.\n","\n","# Note: use different variable names for dropping the insignificant inputs:\n","\n","# Ex. 𝑋𝑠𝑡𝑟𝑎𝑖𝑛 , 𝑦𝑠𝑡𝑟𝑎𝑖𝑛 , 𝑋𝑠𝑡𝑒𝑠𝑡 , 𝑦𝑠𝑡𝑒𝑠𝑡"],"metadata":{"id":"MaWRkf_GXaVN","executionInfo":{"status":"ok","timestamp":1741247587409,"user_tz":-420,"elapsed":1,"user":{"displayName":"Mr Ravy","userId":"17903450120846136725"}}},"execution_count":46,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"50vxZSXLIFSK"},"source":["### 4. Model Training with Scikit-Learn"]},{"cell_type":"markdown","metadata":{"id":"rSfX7DOBIFSK"},"source":["Tasks:\n","\n","0. Using the data sets after dropping the insignificant inputs. Ex. $X^s_{train}$, $y^s_{train}$, $X^s_{test}$, $y^s_{test}$\n","\n","1. Using the training set to train the model (LinearRegression)\n","\n","2. Compute the R-squared score on the train test.\n","\n","3. Predict on the test set and compute the R-squared score\n","\n","4. Compare the R-squared scores of the train and test sets, and comment in terms of overfitting, underfitting, and good fit.\n","\n","Useful funtion (optional):\n","\n","1. sklearn.metrics.r2_score\n","\n"]},{"cell_type":"code","execution_count":47,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"YipyJHZpIFSK","executionInfo":{"status":"ok","timestamp":1741247587414,"user_tz":-420,"elapsed":5,"user":{"displayName":"Mr Ravy","userId":"17903450120846136725"}},"outputId":"4c4ba845-9b6e-4b97-db4c-e68174871644"},"outputs":[{"output_type":"stream","name":"stdout","text":["\n","R-squared score on the training set: 0.9543\n","R-squared score on the test set: 0.9488\n","\n","Good fit: The model performs well on both the training and test data, indicating good generalization.\n"]}],"source":["from sklearn.linear_model import LinearRegression\n","from sklearn.metrics import r2_score\n","\n","# Use scikit-learn LinearRegression\n","model_sklearn = LinearRegression()\n","model_sklearn.fit(Xs_train_const[:, 1:], y_train) #slicing to remove the constant column for sklearn.\n","\n","# Predict on the training set\n","y_train_pred = model_sklearn.predict(Xs_train_const[:, 1:])\n","\n","# Predict on the test set\n","y_test_pred = model_sklearn.predict(Xs_test)\n","\n","# Compute R-squared scores\n","r2_train = r2_score(y_train, y_train_pred)\n","r2_test = r2_score(y_test, y_test_pred)\n","\n","print(f\"\\nR-squared score on the training set: {r2_train:.4f}\")\n","print(f\"R-squared score on the test set: {r2_test:.4f}\")\n","\n","\n","# Compare R-squared scores and comment\n","if r2_train > r2_test and (r2_train - r2_test) > 0.1: #setting a threshold to detect overfitting.\n"," print(\"\\nOverfitting: The model performs significantly better on the training data than on the test data.\")\n","elif r2_train < r2_test:\n"," print(\"\\nUnderfitting: The model performs poorly on both the training and test data.\")\n","else:\n"," print(\"\\nGood fit: The model performs well on both the training and test data, indicating good generalization.\")\n"]},{"cell_type":"markdown","metadata":{"id":"qaTzswrRIFSL"},"source":["### 5. Model Deployment"]},{"cell_type":"markdown","metadata":{"id":"UNFdO-2KIFSL"},"source":["Tasks:\n","\n","1. Deploy the trained scikitlearn model with Gradio. The app should take input(s), predict, and return output.\n","\n","2. Screenshot your app with some inputs and output."]},{"cell_type":"code","execution_count":57,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":648},"id":"17pM2r_0IFSL","executionInfo":{"status":"ok","timestamp":1741248591292,"user_tz":-420,"elapsed":1761,"user":{"displayName":"Mr Ravy","userId":"17903450120846136725"}},"outputId":"463e93ba-2524-4e27-d9f7-a61a7a8f2f64"},"outputs":[{"output_type":"stream","name":"stdout","text":["Running Gradio in a Colab notebook requires sharing enabled. Automatically setting `share=True` (you can turn this off by setting `share=False` in `launch()` explicitly).\n","\n","Colab notebook detected. To show errors in colab notebook, set debug=True in launch()\n","* Running on public URL: https://825f03eceec950e2c3.gradio.live\n","\n","This share link expires in 72 hours. For free permanent hosting and GPU upgrades, run `gradio deploy` from the terminal in the working directory to deploy to Hugging Face Spaces (https://huggingface.co/spaces)\n"]},{"output_type":"display_data","data":{"text/plain":[""],"text/html":["
"]},"metadata":{}},{"output_type":"execute_result","data":{"text/plain":[]},"metadata":{},"execution_count":57}],"source":["## YOUR CODES need to screenshot app\n","# !pip install gradio\n","import gradio as gr\n","\n","# Gradio Interface\n","input_components = [gr.Number(label=f\"Input {i+1}\") for i in significant_inputs]\n","\n","def predict(*inputs):\n"," input_array = np.array(inputs).reshape(1, -1)\n"," prediction = model_sklearn.predict(input_array)[0]\n"," return prediction\n","\n","iface = gr.Interface(\n"," fn=predict,\n"," inputs=input_components,\n"," outputs=gr.Number(label=\"Prediction\"),\n"," title=\"Linear Regression Prediction App\",\n"," description=\"Enter the input values to get the predicted target value.\"\n",")\n","iface.launch()\n","\n"]}],"metadata":{"kernelspec":{"display_name":"Python 3","language":"python","name":"python3"},"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.13.1"},"colab":{"provenance":[],"collapsed_sections":["JP-5KZc5IFSJ"]}},"nbformat":4,"nbformat_minor":0}