pyFTSex/tutorial/darts/quickstart.ipynb
2024-08-15 12:15:32 +04:00

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{
"cells": [
{
"cell_type": "markdown",
"id": "aea917db",
"metadata": {},
"source": [
"# Darts: Quickstart\n",
"https://unit8co.github.io/darts/quickstart/00-quickstart.html "
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "initial_id",
"metadata": {
"ExecuteTime": {
"end_time": "2024-04-15T10:48:48.119781Z",
"start_time": "2024-04-15T10:48:46.349468Z"
},
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"\n",
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"from darts import TimeSeries\n",
"from darts.datasets import AirPassengersDataset\n",
"\n",
"series = AirPassengersDataset().load()"
]
},
{
"cell_type": "markdown",
"id": "f7794de6",
"metadata": {},
"source": [
"# Разделение данных"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "dd77e711c2745843",
"metadata": {
"ExecuteTime": {
"end_time": "2024-03-31T10:28:06.776388100Z",
"start_time": "2024-03-31T10:28:06.396651400Z"
},
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='Month'>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# по процентам\n",
"series1, series2 = series.split_before(0.75)\n",
"series1.plot()\n",
"series2.plot()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "425207ef",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='Month'>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# по дате\n",
"train, val = series.split_before(pd.Timestamp(\"19580101\"))\n",
"train.plot(label=\"training\")\n",
"val.plot(label=\"validation\")"
]
},
{
"cell_type": "markdown",
"id": "2457080a",
"metadata": {},
"source": [
"# Простая обработка"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "2aa69bb5273f2cf2",
"metadata": {
"ExecuteTime": {
"end_time": "2024-03-28T11:33:00.911470500Z",
"start_time": "2024-03-28T11:33:00.615384400Z"
},
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='Month'>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"series_noise = TimeSeries.from_times_and_values(\n",
" series.time_index, np.random.randn(len(series))\n",
")\n",
"(series / 2 + 20 * series_noise - 10).plot()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "61b68acb9eeb8982",
"metadata": {
"ExecuteTime": {
"end_time": "2024-03-28T11:33:03.886439200Z",
"start_time": "2024-03-28T11:33:03.561839700Z"
},
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='Month'>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"series.map(np.log).plot()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "31f0b660fb1bbb41",
"metadata": {
"ExecuteTime": {
"end_time": "2024-03-28T12:00:34.236946800Z",
"start_time": "2024-03-28T12:00:33.929114600Z"
},
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='Month'>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"series.map(np.sqrt).stack(series).plot()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "11c98812823b3e9b",
"metadata": {
"ExecuteTime": {
"end_time": "2024-03-31T10:46:17.602162900Z",
"start_time": "2024-03-31T10:46:17.108542400Z"
},
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='Month'>"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"series.map(lambda ts, x: x / ts.days_in_month).stack(series).plot()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "9235dd3d796f2581",
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='time'>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Восстановление пропущенных значений\n",
"\n",
"from darts.utils.missing_values import fill_missing_values, extract_subseries\n",
"\n",
"values = np.arange(50, step=0.5)\n",
"values[10:30] = np.nan\n",
"values[60:95] = np.nan\n",
"series_ = TimeSeries.from_values(values)\n",
"\n",
"\n",
"fill_missing_values(series_).plot(label=\"without missing values\")\n",
"(series_).plot(label=\"with missing values (shifted below)\")\n",
"# extract_subseries(series_, mode=\"any\") # выбирает существующие отрезки"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "aa5e2e40",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='Month'>"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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GjBmD3NxcoxUzFQqFQVEomUwGZ2dniz9gZ0RbiKutBbmuF2i9LIPWy3xorSyD1ssybLFe1TqZvQE+TvDUKe5cWtHYIX4W5gTnWiRGioqK0NDQgB07duD777+Hh4cH7r33XkyePBnp6ekYN26cOLZbt25ITU0FAKSlpemVNnd1dUVERATS0tKMipHVq1fj888/1zs2bdo0TJ8+3ZLpdnqys7PbewqdClovy6D1Mh9aK8ug9bKMtqxXRQ0TG5yqGlKOqZOc/MoO0a07Nja21TEWi5GamhpkZWVh+/btyM7Oxr///W/ExMSgrq4O7u7u4lh3d3fU1wuRvPX19XrntOd1q0rqMnfuXIN6DdebZSQ7OxuRkZGUHmcGtF6WQetlPrRWlkHrZRm2WK8mNYu/7NsrBieupgPnhX0V3DpN3JtFYkRbWVLbdj4hIQG33XYb9u/fDzc3NzGQFQBqa2shlwvOK7lcrndOe95UszBnZ+frRni0hEQioT9oC6D1sgxaL/OhtbIMWi/LaMt6NTSxd2V4iBf8vdl+dZ15LpKOgEWzjI6OhpOTk155bO12bGwsrl27Jh5PTU0VK3fGxcXpnWtoaEBOTk6LVUYJxpo1a8QusC3BcRy2bt3aYebTGrt27QLHcaioqGjzvezNkiVL0K9fv/aeBi5fvoyQkBBUV1e3Otac9TX2uZYsWYLg4GC7/D7FxMTggw8+MHn+/vvvb7VCbWvY+/fq008/xR133GGXexOEpTSqNO0neDWC/N3h76MvRjoLFokRuVyOMWPG4Msvv4RCoUB6ejr++usvDBs2DBMmTMDmzZuRk5OD0tJSrF27FhMmTAAADBw4EI2Njdi2bRsUCgW++uorJCUltdjunWDMmDFDr7lae78Ym8/HWm666Sbk5+frNXcjWuall17CE088AU9PT5vc79lnn8Xff/8t7l+8eBFLly7FZ599hvz8fNx+++2tCojrjQceeAAnTpzA3r1723sqBIEmtaZdhboGMpkEAb6sN1ZtQ+ewigAWumkA4IUXXsDrr7+OsWPHwsfHB4888ojYn2Tq1KmYM2cO1Go1UlJSMGnSJACC22XFihV44403sHz5cvTs2RNvvPGGbT9JF0Yul4sur46Arebj7OwsZmURrZOVlYWff/4ZH330kc3u6eHhAQ8PD3FfG3Q+adKkVhsEXq84Ozvj7rvvxocffojhw4e393SI6xwlhHhMKV8DwAdB/uzf5rrGziNGLJ6pp6cnVqxYgT179mD79u246667xHNz587F33//jZ07d+LJJ5/U+8esV69eWL9+Pfbv34/PP/8coaGhtvkEnZCff/4ZPj4+UKmEpkanTp0Cx3F48cUXxTEvvvgi7r33XgD6bpE1a9Zg6dKlOH36NDiOA8dxWLNmjXhdSUkJJk+eDDc3NyQkJGD79u0tziUmJgZvvvkm7rvvPnh4eCA6Ohrbt29HcXExJk2aBA8PD/Tt2xfHjh0Tr2nupjl9+jRuueUWeHp6wsvLCwMHDhTHZ2Zm4o477oCvry/c3d3Rq1cv/PrrrwAMzena+/7xxx9ISkqCh4cHxo8fr1cgT6lUYsGCBfDx8YG/vz9eeOEF3H///SabwFVVVUEul+O3337TO75lyxZ4enqKQdQvvPACEhMT4ebmhri4OCxevBhNTU3GbgkAGDVqFJ566im9YykpKbj//vvF/cbGRjz77LMIDw+Hu7s7brjhBuzatUs839LaGGPjxo1ITk7Wsyiac4/jx49j0KBBcHNzw0033YTLly+L53StbEuWLBHdDxKJBBzHYdSoUcjMzMTTTz8t/r5p2bdvH4YPHw65XI7IyEgsWLBALzasqKgId9xxB+RyOWJjY7F27VqTn605S5cuRWBgILy8vPDII4/opfqr1WosW7YMsbGxkMvlSE5Oxg8//NDi/X788Uf06tULLi4uiImJwXvvvSee+/jjj9G7d29xf+vWreA4Dp9++ql47LbbbtNrKHnHHXdg+/btYpA+QbQXak74MiGD8G9ZcACLxWxo6jzVozuPbOpCDB8+HNXV1Th58iQAYPfu3QgICNB7UR0+fBgjR440uHbGjBlYuHAhevXqhfz8fOTn52PGjBni+aVLl2L69Ok4c+YMJkyYgNmzZ6OsrKzF+axcuRLDhg3DyZMnMXHiRNx777247777cM899+DEiROIj4/HfffdB1M9FWfPno2IiAgcPXoUx48fx4svviiWUH/sscfQ2NiIPXv24OzZs/jPf/6j9028OXV1dXj33Xfx7bffYs+ePcjKysKzzz4rnv/Pf/6DtWvXYvXq1di/fz+qqqrE4nrG8PLywr/+9S98//33esfXrl2LlJQUMYja09MTa9aswYULF7Bq1Sp8/vnnWLlyZYvr1hqPP/44Dh48iPXr1+PMmTOYNm0axo8fj6tXrwKwfG327t2LQYMG6R0z5x6vvPIK3nvvPRw7dgwymQwPPvig0fs/++yzWL16NQCIv1ubN29GREQEXn/9dfEYIFhQxo8fjylTpuDMmTPYsGED9u3bh8cff1y83/3334/s7Gzs3LkTP/zwA/773/+iqKio1XX7+++/cfHiRezatQvr1q3D5s2bsXTpUvH8smXL8M033+DTTz/F+fPn8fTTT+Oee+7B7t27jd7v+PHjmD59OmbOnImzZ89iyZIlWLx4sSjiR44ciQsXLqC4WOjp0fzvsampCQcPHhS7awPAoEGDoFQqcfjw4VY/D0HYC4VCBUiFv3cnqSCMQwJZ5mqDsvOIEfBdkIEPqvjwuxz/38AHVWbPccCAAfyKFSt4nuf5lJQU/q233uKdnZ356upqPisriwfAX7p0ied5nl+9ejXv7e0tXvvaa6/xycnJBvcEwC9atEjcr6mp4QHwv/32m8l5REdH8/fcc4+4n5+fzwPgFy9eLB47ePAgD4DPz883Oh9PT09+zZo1Ru/fp08ffsmSJUbP7dy5kwfAl5eXi/cFwF+7dk0c88knn/DBwcHifnBwsLhuPM/zSqWSj4qK4m+99VZepTK+/lu2bOE9PDz42tpanud5vrKyknd1dW1xXVasWMEPHDhQ3G++5iNHjuSffPJJvWsmTZrEz5kzh+d5ns/MzOSlUimfm5urN2bMmDH8Sy+9xPN8y2tjjOTkZP7111/XO2bO+u7YsUM89ssvv/AA+IsXL/Iqlcrgc23ZsoVv/s9CdHQ0v3LlSr1j8+bN4+fPn693bO/evbxEIuHr6+v5y5cv8wD4I0eOiOcvXrzIAzC4ly5z5szh/fz8xJ8Vz/P8//73P97Dw4NXqVR8Q0MD7+bmxh84cMBgPrNmzdL73Nrfq7vvvpu/9dZb9cY/99xzfM+ePXme53m1Ws37+/vzmzZt4nme5/v168cvW7aMDwkJ4VUqFb9x40beyclJb048z/O+vr4mf++vV1QqFZ+Wlmbyb5HQp63rlZFdzmO4isdwFe8/8rB4T9ys4DFcxbsNO2vL6doVi2NGOgMFZUBucXvPomVGjhyJXbt2YeHChdi7dy+WLVuGjRs3Yt++fSgpKUFwcLBeoThz6du3r7jt7u4OLy+vVr+N6l4THBwMAOjTp4/BsaKiIqMxHs888wwefPBBfPvttxg7diymTZsmZlItWLAA//73v/Hnn39i7NixmDJlit7zmuPm5iZeCwChoaHi/CsrK1FYWIghQ4aI56VSKQYMGGCQOq7LhAkT4OTkhO3bt2PmzJn48ccf4eXlhbFjx4pjNmzYgA8//BCpqamoqamBUqmEl5eXyXu2xtmzZ6FSqZCYmKh3vLGxEf7+/gAsX5v6+nq4urrqHTPnHrr7WvdoSUmJwdws4fTp0zhz5oye64XneajVaqSnp+PKlSuQyWQYOHCgeL5Hjx5mZWElJyfrpf3feOONqKmpQXZ2NmpqalBXV4dbb71V7xqFQiHGrjXn4sWLYvyalmHDhuGDDz6ASqWCVCrFiBEjsGvXLowdOxYXLlzAo48+iuXLl+PSpUs4fPgwBg8ebFCKQC6Xm6yVRBCOIK+oFoDw75TcWXArSyQSQF0FSL2gVLu2cHXHoku6aUL8gPBAx/8X4mf+HEeNGoV9+/bh9OnTcHJyQo8ePTBq1Cjs2rULe/bs0XvhWkLzDrMcx7VaDlj3Gm1MgLFjpu6zZMkSnD9/HhMnTsQ///yDnj17YsuWLQCABx98EGlpabj33ntx9uxZDBo0qMUATGPz5024h8zF2dkZU6dOFV0133//PWbMmAGZTNDiBw8exOzZszFhwgT8/PPPOHnyJF555RWDlgS6SCQSg3npxpjU1NRAKpXi+PHjOHXqlPjfxYsXsWrVKgCWr01AQADKy8v1jplzD2M/y7auaU1NDR5++GG9z3b69GlcvXpVT0zampqaGgDAL7/8ovfsCxcutBo30hLav729e/eif//+8PLyEgXKkSNHMGLECINrysrKEBgYaPUzCaKtFJQwMezmzBrkSXjhy5kSxmt5dUS6pGXk2OcdX2Np40ZWrlwpxoaMGjUK77zzDsrLyzFnzhyT1zo7O4vBrx2FxMREJCYm4umnn8asWbOwevVqTJ48GQAQGRmJRx55BI888gheeuklfP7553jiiScsfoa3tzeCg4Nx9OhR8eWgUqlw8uTJVr/lz549G7feeivOnz+Pf/75B2+++aZ47sCBA4iOjsYrr7wiHmuthHJgYKBeYK1KpcK5c+dwyy23AAD69+8PlUqFoqKiFjMuLFmb/v3748KFC226hzUY+30bMGAALly4gG7duhm9pkePHlAqlTh+/DgGDx4MQKiRYk7tj9OnT6O+vl7M2Dp06BA8PDwQGRkJPz8/uLi4ICsry2hMlTGSkpKwf/9+vWP79+9HYmIipFIpAMFS+dRTT2HTpk1ibMioUaPw999/4/jx43j55Zf1rk9NTUVDQ4NJawxBOIKiUhZA7SFnXxZlqIMCgJrrPGKk47+1uyi+vr7o27cv1q5dK/7jN2LECJw4cQJXrlzBDTfcYPLamJgYpKen49SpUygpKUFjY6ODZm1IfX09Hn/8cezatQuZmZnYv38/jh49iqSkJADAU089hT/++APp6ek4ceIEdu7cKZ6zhieeeALLli3Dtm3bcPnyZTz55JMoLy9vNQ11xIgRCAkJwezZsxEbG6u3vgkJCcjKysL69euRmpqKDz/8ULTsmGL06NH45Zdf8Msvv+DSpUv497//rfeiTUxMxOzZs3Hfffdh8+bNSE9Px5EjR7Bs2TL88ssvVq3NuHHjcPDgQT1hYOv1NUZMTAz27NmD3NxclJSUABCyjw4cOIDHH38cp06dwtWrV7Ft2zYxgLV79+4YP348Hn74YRw+fBjHjx/Hgw8+aFZKuEKhwLx583DhwgX8+uuveO211/D4449DIpHA09MTzz77LJ5++ml8/fXXSE1NxYkTJ/DRRx/h66+/Nnq/hQsX4u+//8Ybb7yBK1eu4Ouvv8bHH3+sFxjdt29f+Pr64vvvv9cTI9raSMOGDdO75969exEXF2dXKxBBtEZxGfu331PnT8tJ0iBsSDw6RKM8cyAx0o6MHDkSKpVK/MfPz88PPXv2REhISIvVaadMmYLx48fjlltuQWBgINatW+egGRsilUpRWlqK++67D4mJiZg+fTpuv/12MftBpVLhscceQ1JSEsaPH4/ExET897//tfp5L7zwAmbNmoX77rsPN954Izw8PHDbbbe12j6A4zjMmjULp0+fNuh7dOedd+Lpp5/G448/jn79+uHAgQNYvHhxi/d74IEHMGfOHNx3330YOXIk4uLiRKuIltWrV+O+++7DwoUL0b17d6SkpODo0aOIiooCYPna3H777ZDJZNixY4d4zNbra4zXX38dGRkZiI+PF90Sffv2xe7du3HlyhUMHz4c/fv3x6uvvoqwsDC9zx8WFoaRI0firrvuwvz58xEUFNTq88aMGYOEhASMGDECM2bMwJ133oklS5aI59944w0sXrwYy5YtEz/3L7/8YrIZ14ABA7Bx40asX78evXv3xquvvorXX39dLw2b4zgMHz4cHMfh5ptvFj+jl5cX+vTpY9Bba926dXjooYfMXUKCsAulFcw17K2TROcs1biYOQlKyjtH+jnHt9V5TNgctVqNzMxMREdHd5q+Au2FWq1GUlISbrvtNqxatarLr9cnn3yC7du3448//rD6HvT7ZT7G1ur8+fMYPXo0rly5QtWDm0G/W5bR1vWa88IefHNQEM/33bgPX/9HcF+HjjmEgiYh7vD0/5Wgb4/WvwS0N10yZoToumRmZuLPP//EyJEj0djYiI8//hjp6em4884723tqDuHhhx9GRUUFqqurbVYSnrCM/Px8fPPNNyREiHanopq5bP282Ovc1akJ0BhNCks6R8YXiRGiUyGRSLBmzRo8++yz4HkevXv3xp9//tlp2mS3FZlMphdoSzge3ZRwgmhPKmrYdoAvc1W7uaihKciqF+TakSExQnQqIiMjDTIjtKZOgiCI6wndrryBfqxBnrsrC1otKW+/BAdLIKceQRAEQXRCahqk4nawPytw5qmT0VtaYbpeUkeCxAhBEARBdELqGplzQ7cnjZc7K3VQXmW64WdHgsQIQRAEQXRCdLvyhgYxMeLtwV7t5dVKdAZIjBAEQRBEJ6RRyeJEQgJYoRFfT2YxqayhomcEQRAEQdiJJm0jPFU1nJ1Z/IivN7OYVJvuIdqhIDFCEARBEJ0QbSM8bWM8LQE+LM23pnNk9pIYIQiCIIjOiIoTXDMyNBMjviyzprahc7zmO8csCYIgCKIDUVOrwO3zd+KxpftbH2wHlEo1IBHEiNgYT0OQP+uaV6eQojNARc8IgiAIwkLGzd+PA9kjgUvAxBGpmHCLYzs4F5XWApyQQeMi0xcjwQGs0Ihuxk1HhiwjBEEQBGEBeYXVOJDRT9w/crbU4XPILagWt+VO+rVEQoNYZk2jsuWO5h0FEiMEQRAEYQGPv3EckLJGiWWVji8sll/MasG7OevXEvHycAbUwpwUKhIjBEEQBNGlaGhU4qcTsXrHyqocX1hMtwGebi8aQGgoyqmFLnpKXo7OAIkRgiAIgjCTl987AqUsUu9YexQWKy5jDfA83XiD8xJN214VSIwQBEEQRJdBrVbj/371NDjeHoXFSnQa4Hm5G56XQbCcqDkjJzsgJEYIgiAIwgw+/f4saiW9hB0Vi9loj8Jiuq4hH0/DV7lMm+4r9RDSgDs4JEYIgiAIwgzeXVslbg8MPyput0dhsYpqJjD8vAyrdLhImeWkoKTGIXNqCyRGCIIgCMIMiqtZBs2SR6LE7dpGx5fsqqxhcSL+Poa1RFx00n0Lijt+gxoSIwRBEARhBgq1JhhUVYX4KCZMGpocL0aqmJcIgb4uBuflOum+RSV1Buc7GiRGCIIgCMIMlBCCV6V8NcKDWSBrYzvU8qitZ6/v4ADDjBl3F5W4XVzWYHC+o0FihCAIgiDMQC3xAgA4cbXw8nQB1EJcRpPK0DJhb3RdQyGBbgbn3V2ZG6ekvNHgfEeDxAhBEARBtEJFVQMgEbrhukiF9BltYbEm3lAM2Jt6nZ4zYUGG6bueOlMqrVQYnO9okBghCIIgiFbIymOZNHInwdLACos5Xow0Kpk1JjTIsPaJlzsnbpe3Q4VYSyExQhAEQRCtkJPPGtO5uQiZKk6cIEZ4ieMLiynUgpUGqlq4uhgG0Pp4SsXtimqVwfmOBokRgiAIgmiFvCKWkeIpF17uThJNLIZEjoZGx1oflBrXkIQ3XkPE15MJlPYoV28pJEYIgiAIohUKSlhGire7EBzqLGWBoflF1QbX2BMVp8nsgfG0XT9vFlNS3fEze0mMEARBEERrFJWxIFA/LyEew9WJWUPyihxXWKymVgFIhcweV6lxEeSvU3ukpp4zOqYjQWKEIAiCIFqhuJwJD39vIR7DTbewWKnjGtRcyywXt92djT830M9V3K5t7Piv+o4/Q4IgCIJoZ8qqWNxFoK/gAnF3ZcccWVgsNatS3PaSG0/bDfJnhdAaFFKjYzoSJEYIgiAIohUqdOJEg/0FF4iHnBUWK3VgYbHMPOYS8vU0HpwaEsAyfBqaDHvXdDRIjBAEQRBEK1TVsddlaKBgddAtLFZW2dT8EruRU8BcMwHexseEBnmI241Kx5ertxQSIwRBEATRCrUNLFU2PFiwOnh7sFdoqQMLi+WXMOET4m+8SZ+b3AlQC64jhdrx5eothcQIQRAEQbRCnYJZFyJDhbRa3cJilQ4sLFZUzlwzYYGmhQanFtw5St6wkV5Hg8QIQRAEQbRCg1KTncKrER4ipNXq1vKoquWNXWYXSqtYqm5UqGmhIW3HcvWWQmKEIAiCIFpBoRZcM5y6CjKZ8Or092HWkmrHZfaiooa5ZmIjDPvSaJFxwqTao1y9pZAYIQiCIIhWUEIICJXyrMhYgE5hsVoHFharbmTPTYj1NTmuPcvVWwqJEYIgCIJoAbVaDV4iuGacOJZWq19YzHG1POqbNJYOdRMiQkxbRtqzXL2lkBghCIIgiBYoq2gAJIJLxkXKipsF+7NYjHqF8awWe6DgBQEiUZdBIjH9GtctV19Q3LEb1JAYIQiCIIgWyMqrErflTszaEBbcPrU8VJzgmnHiqlocp1+unsQIQRAEQXRacgpY+VV3V1bjI8jfDeCFNFuFyjFipKSsDpAKFhm5tOXmfG7tVK7eGkiMEARBEEQL5Ou4OLzcWD0RiUQCqAWh0qR2NbjOHlzN0GmS59KywPBwZenGJRXGe9h0FEiMEARBEEQL5Bezl753syxZCS8IFSUckz6r2yTP263lEvSeOlMqqyQxQhAEQRCdlqIy9iL39dRP4ZVpCoupOccUFsvMY1YaPxNN8rR4u7NXfLkDy9VbA4kRgiAIokPz6JJ9uHvh7narlVFSwZ7r76Ofwusk0VQ7k3hArW5ZHNiC3CJmpQn0abm2SWgAqxCbV0xihCAIgiCsYulHR/C/f27CuqPD8eqqo+0yh/IqFnsR6KsfqOos1VhNOIlDMlYKSpioCA10amEkkBDN/DT5pXabkk2wWIzMnz8fN910E4YPH47hw4djwYIF4rk1a9Zg7NixGD16NFatWgWeZz/A8+fPY+bMmRg2bBjmz5+P/Px823wCgiAIosvy+Xb28j1ztX0yQip0klZC/PUb07nImAunoLjl7BZbUFzB3qsRQS134+3ZjVVnLalyXOqxNVhlGVm0aBH27t2LvXv34sMPPwQA7Nu3D5s2bcKaNWuwceNGHDhwANu2bQMAKBQKPP/885g5cyb++ecfJCcnY/Hixbb7FARBEESXIyuvErn1/cT96nYqlVFdx16VoUH6jenkOrU88h0gRsqq2VyiwloOmu3XM0jcrqzv2P1pbFYy7tdff8XkyZMREREBALjnnnvw008/ISUlBcePH4eTkxNSUlIAAPPmzcOYMWOQm5uL8PBwg3spFAooFPqRvzKZDM7OHVvZ2Qqt39ER/seuAK2XZdB6mQ+tlWXYer1e+/AUIBku7tfWt8/PoqaBvSrDg9315uDmogI0GqSopM6i+VmzXpV1bC4x4S3HqXh5OINTloGX+aFO5dNuv8ctVYnVYpUYef/99/H+++8jMTERTz/9NBISEpCeno5x48aJY7p164bU1FQAQFpaGhISEsRzrq6uiIiIQFpamlExsnr1anz++ed6x6ZNm4bp06dbM91OS3Z2dntPoVNB62UZtF7mQ2tlGbZary37XQGdGM3KGjUyMzNtcm9LqGmQifPgVJXIzGQptU4ca9d7Ja0AmZmWWyAsWa+qehfRp+Eqq2l1PZz4RijgB6UkEOnpGZBIHNfQT0tsbGyrYywWIwsWLEBcXBwkEgk2bNiABQsW4IcffkBdXR3c3dkPwd3dHfX1wg+pvr5e75z2fF2dcZvb3LlzMXv2bP2JXmeWkezsbERGRpqlKK93aL0sg9bLfGitLMOW63XqQiEqMUDvmJJ3RXR0dJvuaw1N6jpACoBXYVD/HnovdH/fdEATHMpL3C2anzXrpVA3CWJEVYf+fbu3Ot7T5ThK1QAkcqgl3oiNNt3ltz2xWIz07t1b3J4zZw62b9+Os2fPws3NDbW1zF9WW1sLuVzwrcnlcr1z2vNubsbzsp2dna8b4dESEomE/gG0AFovy6D1Mh9aK8uwxXq98ellgAvWO9agdGqXn4OCF95VnKoSMlmA3jndWh4V1Sqr5mfJejVB6B4s5cshkXi0Mhrwda9HqaZh77mrZUiI9bd4fo6gzT9V7QLGxsbi2rVr4vHU1FTEx8cDAOLi4vTONTQ0ICcnB3FxcW19PEEQBNEF+fNUgMExRzaj00UF4aUvRY3BOW9PVnekvEplcN6WqNVqqKV+AABnrtqsa4J82JwupVa2MLJ9sUiMVFdX49ChQ1AoFGhqasLatWtRVVWF3r17Y8KECdi8eTNycnJQWlqKtWvXYsKECQCAgQMHorGxEdu2bYNCocBXX32FpKQko/EiBEEQxPXNH3vSUSfpCQCQqy4CaqFTbpO65VRWe6BWq8FLvQEATpxhtoy/F3MwVNbYN0A0O68K4ITnyZ3My9wJD2QupdSc+hZGti8WuWmUSiU++eQTZGZmQiaTITExEatWrYKHhwduvvlmTJ06FXPmzIFarUZKSgomTZoEQHC7rFixAm+88QaWL1+Onj174o033rDLByIIgiA6N+9/kwFAiL24NbkIP50KAi9xgZKXt3idPSgqrQM0pd5dZYZ1Tvy8WeExe6ceX8usADRuGk+XRrOuiQ13BU4I21kFHbcKq0VixNfXF99++63J83PnzsXcuXONnuvVqxfWr19v2ewIgiCI646MAma0nz0xDL+eqoMS/lDB8WIkO68KgCBG3JwNBYC/L7PW1NTbN1MlPYe5Znw8zBMWiTEsrqSgzPGZNOZCEVkEQRBEh6Kyjr3ge3bzhZQTLBI85/jCXTmFzB3i7mLYJTfQz1Xcrm2w7ytVt0mevxffwkhG7wQ/cbuk2vFuLnMhMUIQBEF0KGoUmkxLXo1uMX5wkmjcI1I3KBT2DRJtTm4hEwCeboYxIUH+zFpTp7BZHVHjcylmxUCDfM17fffpHgjwwryrGjpuFVYSIwRBEESHolEtxEVwqjK4ushYMzoABSWGGS32pLCExYn4GMmkDQtiL/iGJvuKkcJSnSZ5AS03ydPiJneCRFUCAGhQ+7Uyuv0gMUIQBEF0KJScJn0VFQAAVxlzjziiM64uxeXs2b6ehjEXoUGe4rZCZV83SIlOZm5EiPnxMy5cGQBAJQ2CUtkxWxuQGCEIgiA6DEWltYBUMEHIZYIVxNWZuWaKShwrRkoqmDUiwMfQ8uHqIgPUQsqsvVOPy2tYTZPoVprk6eLpogl85WS4lFpi62nZBBIjBEEQRIfhSlqZuO3pKrzk3V2YGCkuM0yvtSfl1SxQNNDXeNE1Ti0EuTbxxquK24rqevb8+Chvs6/zc2drdvZKWQsj2w8SIwRBEESH4Wpmlbjt4y64SNxcmSAorVQYXGNPKnVCVEICjFs+pBCsNWrYV4zUKphrppsFPWaCfZlr5nJ6VQsj2w8SIwRBEESHIT2HpdIGeAsixFMnPKK0wrFipKqeuUbCg42LDSdOECO8Gb1i2kKDShOfoqqCh7v5pfEjgtmrPi3HsZYlcyExQhAEQXQYsgvZyzLEX3hFebmzwNGKasdWEa1tYHEi4SHGxYaTVFMMTeKMqmrzKqNagxKCa0bGl1t0XVw4U3PZhY5NjTYXEiMEQRBEh6GglL0sI4KFb/9eHrqdcR0rRuqamGsmKszL6BgXndTj/GL7pB43NCrBywTXjIvEvCZ5WrrHsoyfgvKO+drvmLMiCIIgrkuKdb70x4QJbhFfT2adqKp1bGpqo1JjVVA3IcDXeDqtqxMTSPlF5jWws5RrGSzw1N3ZsoZ3fbr7i9tlNa4tjGw/SIwQBEEQHYayGiY84qMES4SPl04zOvu8602i4AWrAqeuhERi/JXp5sLESFGpfTrjvrv6krgd6GXZM3rE+QO8MMfqRs9WRrcPJEYIgiCIDkNVPfvm3iNOcEsE+LBgzRoHxl+q1WqoJAEAWOEwY3i4MmtNSbntJ6hWq7F+b7C4v/CeQIuud3aWQqoqAgA08h2zCiuJEYIgiOucmloFnnxzP/xHHYV82CWs++lS6xfZibomTTEvtQKRmhgNfx8Wt2HvZnS6pGdXAhLh2e5OpuM0PHS8NyV2yPZZ+dUpNEoThGfxZzF3ai+L7+EqEfxfamkA6uoNG/61NyRGCIIgrlMaG5UY+8BOeN1ajg//vBFl6oFokCZi6f8Vtt+ceB8AgERdKrpFAnWa0dU3So1dZhfOXy0Vt33cTLtGPHWKoZZX2v5Fv+J7JnAeGGddgKyXi+Y6ToLzV4ptMS2bQmKEIAjiOmXWY9/g72sjwcv0zf7lte0T5KhWq6GWCMGWLhxrxBIcwOp72LsZnS66BcICvE2nxHrrZPuUVdk22+fv/RkobBoEAJAq87Bs4RCr7uPvyVKOz121LDXYEZAYIQiCuA754YcfsOUP5o4JcTktbutW+nQkmbmVgEQIVnVzYpGqwf7M9NCoNL/YV1tJz2V9cEL9DZvkadHN9qmssW22z8L3MwBOeFWP7XUVbnLzuvU2J8SPVbG9kmFZarAjIDFCEARxnXHx4kXMnTsXcIkUj21e2Q+cUvjG3Khun4yLS2nsG7uXnAWC+vm4ArxgmVCoHSdGsguZyyUqxLQICPZncyqr4k2Os5S8wmqcLugn7Kjq8NHLyVbfKzKECab0XPsVZrMWEiMEQRDXEdXV1ZgyZQpqamoA5wjxeGQQIIPgGlFyPu0yt9Qs9o3dz4O5OyQSCaBpRqdUO86FlM9CRhAXYbpLbmwEq8xaUmW71+o3W68AUiGIN9H3OBJirc+EiQtn65Zb7NhaLeZAYoQgCOI6ged5zJ07FxcvXgQAuPoIGRoSCRDiB7hKNWJA6t0uGReZOm6RwGZ94CS8RozAcS6k0ipmTegRZ7pLbmIMO1dRazvLzcU05qoa2L1t94oMYXE3lbWmXU7tBYkRgiCI64R33nkHP/74IwDA29sb7n6JAIAwf0Am4/Qqe17LdHyQY24xyxoJDdAPVJVBmJuaM22hsDWV9ewF3ivR3+S47nHsXE2j7cRSeh4Lmu0e07b7RoYx601VneOCgM2FxAhBEMR1wO+//45XXnkFAMBxHNZ8vU785h8RJIzxlDMxkJpVaXAPe1NQytwHUSEueudkEk0MicQdarVj3Ax1TdouuXUICzLdkdfL0wVQCevVoDLev8Ya8kpZGnPf7r4tjGydaJ2+OjWNjou7MRcSIwRBEF2c1NRUzJo1CzwvBFe+/vrr6Dt4vHg+UiNGfD3YN/H0HPs0fGuJkkrmPogN17eAOEs0QomToqzCMWVYFRBiNGR8iclS8FqcNJ10m7i2iQZdSmuYABrcN7iFka0TGeoF8IKIa1C2T7ZUS5AYIQiC6MLU1NQgJSUFFRUVAICUlBS8/PLLyC5iYyI0ZUYCdMIicgrs02OlJcprWcZKtxj9GA0XGbPaFNipM64uVdWN4GWCGJFLW7cSuUo1NUmk3qiqtk22So1SeD6nqkBESNssLs7OUnAa602j2rSVp70gMUIQBNFF4XkeDzzwAM6dOwcA6NGjB77++mtIJBLk6IiRyCDBIhHsz2IJ8kscH8Ba3cC+sXdvljni6qzTjK7M/kLp/NUScdvTpfXufB4ubE6X00pbGGkeSqUaSkkIAMAFRa2MNg8pBMGkQsdrlkdihCAIoouyYsUKbNq0CQDg5eWFrVu3wstL+IZtzDISHshiCYrKHZ/+Wa/UxmjUIMDPTe+c3Jm5kIrt1BlXlwupLIDX37P1fjPebmzMtayqFkaax7krxYBE+Hl4uVS0+X4A4CIRLEq81AdKZcdK7yUxQhAE0QX5888/8dJLL4n73333Hbp3Z/mhOcWsOJc2ZiQ6jAmA0irHp382wQcAIOMNO+S663TGLa2wf9Gu1CzmCgrybb2QWYAXm19adtvdSMfPs/4xQV62iZFxlWlEHCdBdr7jA5RbgsQIQRBEFyMtLQ0zZ84Us06WLFmCO+64Q2+MMctIbAQz31fUOjb9s6FRCV6m6UsjMbQseOjUOrNHZ9zmZOYzwRMR1HpzvmA/Jt6yC9ouHs5fZWsQEWSbqq4eLmzd0nPabr2xJSRGCIIguhC1tbWYPHkyyssFN8Mdd9yBxYsXG4zL0XzxlkqBUE2ZjG7RPuL5mgYXg2vsyZV0Zg3xcK4zOK/bGbeiyv7xLLlFzNIRE9Z61dfwIBZ8m1vc9vldyWJiqFuEbVJxPeUs7iY7z/HZUi1BYoQgCKKLwPM8HnzwQZw5cwYA0L17d3z77bdG01K1lpEwf0AqFb7VR4Z5AbzwwqprclxxMQC4ks5iNLzdDN0wXu7sM5RX27YzrjGKKtnzukW1nn2i6+IqskG9uOwiZmnpnWCbgFMfD2ZhySl0fLZUS5AYIQiC6CK8//77WL9+PQDA09MTW7duhbe3YRnzhkYexRXCttZFAwg9YCQqwUKh4B2bcZGewzJW/L0Mgyt9dDrjVtm4M64xymuYNaJnt9Z7wsRHMsFSVt26W6c1iiqZZWpAz4A23w8A/L2ZwCks7VjN8kiMEARBdAEOHjyIF154Qdz/5ptv0KNHD6Njc1nWqhi8qsVJm/5pw+Jd5pCVz76p68ZfaPHz0hEjtbbrjGuK6kaNuODV6JnQuhhIjGXrVVnXdhdXZYNGRPJKJCe1reCZlkBfJpKKyuxvXbIEEiMEQRCdnIqKCsyaNQsqlZD++vLLLyMlJcXk+ByWqKFnGQEAV5kmlkDqhpIyw9gNe5FbxOIswgKdDM77ejNLRbUDPAwNah8AAKcqhatL68G88VG+AC+sf60NXFwNvPCDkaoK4OzcdksLAIT4szUsqaTUXoIgCMJG8DyP+fPnIzMzEwBw8803Y+nSpS1ek22k4JkWDxeWCXI1w3HN8grLdVKNQwwDRgN8mbWhrsG+acdqtRoqiWANceHMWwOhwqng4mpUt61aalFprZhZ5C5rewE1LWFBrKhcebXNbmsTSIwQBEF0Yr788kuxsJmPjw/Wrl0Lmazlb/K61VcjmrlpvN2YhSIt23Hpn6VV7HUUF2EYMBrgw8RIbaNtLAWmSM+uBCTC89ydzH9rO3MVAAAV59emZn5HTheI2/7utst6iQxlFpvKWvuuoaWQGCEIguikHD16FI8//ri4/+WXXyIqKqrV67KLDAueafHzZC/RrLzWy6Dbiqo65kKIizK0LAQFsGyVBoV9X6TnrzJrhI+b+T4hNx0XV1Gp9S6u05eYNSbUz3axHVFhLCi5poGt9zufHcdn687g6Ok8mz3LUhxb1YYgCIKwCYWFhZg8eTIaG4WsiEcffRR33XWXWdcaK3imJdCHA7I04wod0x0XAOqamGsmLtLH4HyQv44YURrGlNiSy+nMIhTgrWphpD6ervUo12iXS6llCAm0riHd5QwmZGJCbWcziAlnmVX1Ouv9ytehUMtCIFEWQnXAZo+zCLKMEARBdDIUCgWmTJmC3NxcAEKcyMqVK82+XrfgWUizrNWQAPYdtaDEcRkXDSqN2FDVwc/HsMV9SAB7sStUtikCZor0XCYGQv3Nj0/xcWfrdS3T+nLr6XlMAHWPcWthpGV4eboAKsF606hZ75paBdRSwTwml5SYvNbekBghCILoZCxYsAD79+8HAISHh+OHH36As7P5L2hjBc+0hAexb8zFFfZPodXSxAtiQ8Ibj1NxdpYCKkEkNKlbr4jaFrILWdxMVIj5VphAH7ZeuoLGUvLKmCBM7u5j9X2MIeUFkdSk6dx74nwhwAlSwEfeflGtJEYIgiA6EV988QU+++wzAICLiwu2bNmC4GDz61A0NPIo0Xxpbx4vAuhXEi2rdtwrQs0JLgQnzvQLkeOFGBYVb18xkq+TwBIXYX6abog/W6+cQuuLipXWsGcO7hti9X2M4cQJlhG1xAdqtRqnL7IPG+TdfoXQSIwQBEF0Eg4fPozHHntM3P/ss88wePBgi+6hW2PEmBiJj2JxBZV19o3N0FJR1QBIBRHkIjVtUZBCOKeC7VwXxiitYpaJHnGGFWxNERnMMn7yS8yPNWlOrVLwnXHKcoQF27YSrqtMs74SF5SU1+NiOsvWMfb74ChIjBAEQXQCCgsLMWXKFCgUQufVxx9/HHPmzLH4Pi0VPAOAhBhWSbS20b4WCC0ZOSy+ws3JdNCsjBPO8RLrAkPNpbKeiZ1eif5mXxcTzq4rrrCuFopCoYJSIlhDXLiiVkZbjrszs36kZ1ciLZe5pOIjHNscURcSIwRBEB2cpqYmTJ8+XQxYHT58ON5//32r7tVSwTMACPBzE2Mz6lWOaZaXmcviRDxdTXe8dZZoXqQSF9TUKuw2n7omjTVCVYewIPOFTzedlOTyWuuSVc9dKQYkQvyPt4v1QbCm8NBZ38zcauQWs9+BXgltK9bWFkiMEARBdHCee+457NmzBwAQFhaGjRs3wsnJOhdKro5lJNyIZQQApLxQ56KJN99F0RZyC5lrxsvNtHvDWcYESGGJ/WqgKCC4SWR8idGOx6boHs9Sk6rrrbMqnTjPfkBB3rZPrfZ2Z3Vk8orqUFTF5tk/yTYN+ayBxAhBEEQH5rvvvsOqVasAAE5OTvjxxx8REmJ9UGNJJcv4CDbRC89ZE0Sqlratkqi55Baxl65vCyESrk7sW31bioq1RFV1I3iZICrkUsssE2FBHoBa+Cx1SutcSeevsQDeiEDbZzP56Rg/8oobUNWoEZzqJvRONKFOHQCJEYIgiA7KqVOnMH/+fHH/448/xtChQ9t0z1KdzFl/E4YPuZPG6sDJkJ1n/5LwhaXM4uHvbfq1JHdiVhN7iZGf/kljc3G37LNLJBJI1UJ2iqIVq1JJWR3ueW4Pft6ZrXf8UiaL6egWaft6KoE+rHptYWkTGrUN+dSFNmvIZw0kRgiCIDogpaWlmDx5MurrhZKeDz74oJ4wsfq+Ol/2/UxYITxd2AvxWmZFm5/ZGiUVTGQE+ZmOtXBzZVaakgr7pKH+to8F1STHW54R48IJAkYt9YdSadqqNGLuUaw7OgILvuiNvEJmDbmawwTBjf3MD541l2A/5t7LzFeJViB3aZnNn2UJJEYIgiA6GEqlEjNnzkRGRgYAYMiQIfj4449tcm9dy4ifiXhFHw9WSTQ9x/6FsEp1XEehAaYzOjxc2bjScvuIkeOX2fbYoSb8WC3g7sysSunZFUbHXE0vw8XSQcKOzAc//J4qnsuv0sSd8GqMGx5t8fNbI1SnqN2VXLbta8OGfNZAYoQgCMLO8DyPB/+jxpD5apxNbT0O4JVXXsGOHTsAAEFBQfjxxx/h4mKbtEutGPF0A5ydjKef+nuxOWblm98ozloqatg8dNvcN8dDp7xIeZXprJu2kFWqCeLk1Zg6Pt7i673kLP7lcnq50THPLD8NSNjn3HVMMFcplWrU8UKjQ5kq22hZ/LYSEayTflwfKm6H+NpnPc2FxAhBEISdOZMKfPkLcPQScPfrPJqUpgXJhg0bsHz5cgCATCbDpk2bEBERYbO5aN00/i1kcQb5sldDXrH9q3JW1zPXTGSY6cBPL3cmWsqrbN83p6ZWgTouDgDgrEq3qtGdrydz7aRmGVqVlEo1fj8do3fsXLrgmjl8Og+QCs/0dy20+NnmEBnKPpNSxjo8RwVbVxfFVpAYIQiCsDPXctj2uXRg5Ubj486cOYMHHnhA3F+5ciVGjBhhs3mo1TzKNO9HU8GrABAawOIK8h3QLK+mkQVqRoeZVkneHiyeoqLa+gqnpti2IxWQCBaoMK8Cq+4R5MO2s/INg2xXfH4CSpm++yW3Uih9uuNAnngsNtg+FqnYSOM/+IQo21thLIHECEEQhJ3JbPYld8lqHhn5+taRsrIyTJ48GXV1wgtszpw5eqXfbUFlLaDN1G3JMhIRwl5MJbavu2VAg1LzPF6NyFDTE/P1YhaUqlrbpxz/sZ/V+LAmeBUAwgLZHHOLDF0fH/6gc0wtbDdwsaiqbsTR86x2SnKCfUrxB/m7AWrDgnG9ExxTU8YUJEYIgiDsTEaBvvCobwSeWMWD54XjKpUKd999N9LShLTSQYMG4dNPPwXH2dZ0rptJ05JlJDqMVV4tr7F/uqdCLTyPU1W2mF7q68le0NU2yOz94bfL2PDzJXH/2GX2cxozxMeqe0aGsKDQglJ9wXTwRC4KFELgqkRZgGj3I8IJiRO2/52KK9nss988wA/2QCKRQKKuMDg+qHc7NqYBiRGCIAi7k6lj8ffWuOx/PgBs3StsL1q0CH/88QcAIDAwEJs3b4arq+37wujVGGnBMqLbLK+63va1LpqjhDAZKVrO3PH3ZUG8tW0sTrrup0uY9nY8Zv4nHu98dhwAkFnCglenWBG8CgDxkSwmo7BC/xX7/PtXAE4QHCMTLyM5nrnAdhwqQV4ly965zQ6ZNFpkzddZVYf4aB+7Pc8cSIwQBEHYmQyNGHGSAZ8uZNaOlRt5bNq0Ce+88w4AQCqVYuPGjYiMjLTLPPQsIy2IkW7ROs3yFPaNJVAq1eClgvhxlrScXurvoytG2vb62vZPIcBJAE6KN75xRVV1o07waobV3XKTe7DaIGU1+oLycJpGYKib8O6zSRg5kIm+45fUqNVm0iizEORvv75ALlL9UvpOfKFFZe/tgdVPP3PmDAYPHowvvvhCPLZmzRqMHTsWo0ePxqpVq0QTJACcP38eM2fOxLBhwzB//nzk5+e3beYEQRCdBG3MSFQwMGM0EKR511/OasLcuXPFce+99x5GjRplt3noV1817QLycHcGVIJyaVDZtoV9c3ILqkRrgaus5aDNsCD2gq5paFtMRUklc6HUSZNw15MHdIJXrX8/9YgPEGMyqhqZ4lMoVGiShAMAXPk0DOgdgsm3xornLxbFA1Jhrf3slEmjpXlnZA8n4ynIjsQqMaJWq/H++++jZ8+e4rF9+/Zh06ZNWLNmDTZu3IgDBw5g27ZtAACFQoHnn38eM2fOxD///IPk5GQsXrzYNp+AIAiiA1NRzaNS84U/OhjgOA5hGm9AUTlQWysEP9x7771YsGCBXedirmUEAJw0zfKUnI/9JgQgM4+5DNydW+7E26c7651S2WBd7xctFc08FX9fuUnctjZ4FQBkMglkakFMNPKs8dyFayWARBBQXppuvNER3pA2ZQEAVLJwcWx0oH1K3Wtxb9YZOcDDvs8zB6t6HG/evBm9e/dGTQ0zqf3666+YPHmymA9/zz334KeffkJKSgqOHz8OJycnpKSkAADmzZuHMWPGIDc3F+Hh4Qb3VygUUCj0fyllMhmcne3vu+wIaBtTOaJBVVeA1ssyaL3MxxZrla7zJTs6RLhXqB+PU+AAzglwCkD/3hH43//+B57n9SzKtkbXMuLryUOtNv0sV2k1mgDwUh9UVTcI1pJWsGa9MnKqAAjvAU95U4vXusll4JTF4GWBaFC3rYlfRW2zQFkJs7TcMti7Tfd2k5WhCpHgZf4oKqlBgJ8bjp8rAiCIqQDPBqjVaqjVavi7ZKNIHaV3fd94qV3/Pr3clICORyzET2nX55njArJYjFRUVGDdunVYs2YN3nvvPfF4eno6xo0bJ+5369YNqalCidu0tDQkJCSI51xdXREREYG0tDSjYmT16tX4/PPP9Y5NmzYN06dPt3S6nZrs7OzWBxEitF6WQetlPm1Zq6Nn5QCETAVvlwpkZlYi40oegBsBAJ4BPfDhh2+jqKjI9E1sREauHwDBFaCoy0dmpmlLhKu0GtWa99PuA+fRO9H87A5L1uvcpVwAScIzZfXIzMxscbwLatGAQKikQbh6LQ3OTtZl+1TWmbiOV+OGXs6tzqMlPJ0qoS0Q+/vOsxg+KASHT+UC6AUA8HOvFe8fH1KNojz967tHqdv0/NaQN3OHBXo12PV5sbGxrY6xWIz897//xaxZs+Dpqe9HrKurg7s78+e5u7uLDZ7q6+v1zmnPa/PpmzN37lzMnj1bf6LXmWUkOzsbkZGR7R5U1Bmg9bIMWi/zscVa1R9j28k9fHDixE5cPH0eiBLEyIuLP8BNN/WzwWxbR6Hz5bd391BEh5oe6+eZhWKNW6em0Q3R0a1nd1izXo3qXHE7LNC11ed4ux5BgxIAJ0N1oxsGdAsx6znNUagqAU3YjLMyFQqZkD3jrMrAkIFJVt1TS1hAOnI1FrHiSmdER0ejuCpDPJ8U54no6Gio1WoM7HEFB5uJkdmTB1hV/dVcIoIzAZ1n9u8ZYNbP155YJEYuXbqECxcu4IUXXjA45+bmhtpaFqFbW1sLuVyIwpbL5XrntOfd3NxgDGdn5+tGeLSERCKhl4UF0HpZBq2X+bRlrTILmQKQKLJw//33A573iMdCovpDInFMKe6yajaXAG+uxef6e6kBjRjJzK+z6PNbsl7F5Sw+I8BX2up1/p6NKNTEW56/Uo5BfcLMnpcujSo34Q2oqsGjE4vxwR+CGAn3zodE0s2qe2qJDJLgqEaMXM2qh0QiQQ6rp4YecZ7i57x1qD8+/oedkypzEBas77axNcH++sG/fbv7tfu/BRaJkRMnTiAzMxMTJkwAANTU1EAqlSI3NxexsbG4du0aRo4cCQBITU1FfLzww42Li8MPP/wg3qehoQE5OTmIi4uz1ecgCILokOjWGFn60gNCrJ0LO5hf6ri5aANYZVLAq5XM0WBfDtB4W+zZLK+kggmkEP/Wv4SG+atxQSNGLqVb31G4SeOukvKVWPHCUPxxZC8ySwKwfEHbi3/FR7oAp4Xt9DzBX1NYzj5bcneWOt0rwQ+csgS8TAh29XMpAGBfMRLSrDPyoD7Bdn2eOVgkRu666y7cdttt4v57772HsLAw3H///Th9+jSWLVuGcePGQS6XY+3atZgxYwYAYODAgWhsbMS2bdtw++2346uvvkJSUpLReBGCIIiuhLbGCAcV0i7uAQB0i3LDNc35/FIeor/AzmgDWP280Gp119BA9u05r9h+/WnKdQIpwwJbL/QWHSqDdvFSc6yrfKZWq6GW+AAAnLgayGQSXNg20qp7GSMpjqUq5ZUI61xR7y7+mPv3Yi9/iYSDr1MmyjSZN1GB+l4EexARzGrHcKoKhAXbp9qrJVhkl3F1dUVAQID4n4uLC+RyOTw9PXHzzTdj6tSpmDNnDqZOnYqhQ4di0qRJAAS3y4oVK7Bu3TrccsstOHnyJN544w27fCCCIIiOhLbGCN+QA0AFX19frP7sbfF8Xonj5qIVI62l9QJAdCgTBkXl9svwqdTJagkLNu6616VbFBuTXWjdvErK68WaIq4y26e16hY+K64S1rFOJRzjlCXw89EvJNcthFl4+sTbv/y+bmdkF9g/cNocrErt1bJkyRK9/blz5+oV8NGlV69eWL9+fVseRxAE0amoqeNZbY/GDHAch++//x5D+kUBEF6k+WWOmUujgketxtvSUl8aLTHh7IVVWmW/eALd4mXR4a0XWOsZzyZfVGHdKyw9uxKAIAjcnRutukdL9E4MFJrgSZxQ1egFhUIFlURw/7hyJdBmV2l58YEI3PV6DSR8DV58qJfN59OcHnF+gLoRkLjA381Bv4CtQNFrBEEQdmLv0Sy205CFN998E+PHj4ezEycKAkfFjJjbl0ZLYqyPuF1V72J6YBupU7B7x0X6mB6oYYBOQ7fyutYtKcbIzGWWCE9Xw866bcXZWQqpWrA4NPABOHelWKfgWZXB+Em3dkPhdikq/wpA9zh/g/O2JizYE/cNO4oQp8P45PnA1i9wAG2yjBAEQRDGqa2txb+f+g/g+TEAoHuMK1566SXxfKifEFCaXwrwPG/zDr3NsaT6KgAkxrI4gppG61765tCocgOkANQN8PNp/TkRIV5CqXqpJ2qbrGt7n1PIXDPeHvYp9uUmLUM1wsHLArD/+BlorSEBXsbjXOzZi8YYX/9nhEOf1xpkGSEIgrAxPM/jgQceQKZOTMPjD92hJzi0JeEVTUC59UkhZqPfl6b18W5yJ3BKIW2lQW2//jRNvOAOMtbW3hTOvJAnq+CCrKocWlDCBIGvnT6aj5xF5v5+gPV+CQ+wX/xNZ4bECEEQhI1ZsWIFNm7cCLiwQlJJsfpBi6E61nhHBLHqW0bMs8LIUAEAUHK+LQ9sAypOUEZOaLljry7uTpoPI/VAToHlSq6wlLlmAn3sEzAa5M2q255MZcHAsWFta/DXVSExQhAEYUP+/PNP5o5xjRGPRzcr5aArRhwRN2KpZQQA5FLNi17qhYoq69JoW6KquhGQCu4JF6n5WS2+7mzsqQvFLYw0jm6htWA/+4iDiCAm+ArrYsTtHrGOdcd0FkiMEARB2Ii0tDTMnDlTdB2ExwudYDkOiGxWSyvUn72sHC5GzIgZAQB3F1bs7HKa7bMuMnKZucbN2XyxE+zD6p6cv1ph8XPLdIwpoUGt1zaxhrhwVuRMLWNKtG+P9q/p0REhMUIQBGEDamtrMXnyZJSXC/EBd9xxB5RSoYt5qD/g4qzvGnG0ZaSsisUqmCtGfNyZq+FaZmULI61D6Ngr4O5iumlfc3StDlezLa8OW1nDXn0RZtQ2sYae8caDUQb0av9qpx0REiMEQRBthOd5PPTQQzhz5gwAIDExEf/3xbdiD5UYI73ctAGsgLYKq32xxk3j78mCQ9NzzI/pMJdc3awWd1ULI/XpFsmsGVkFlleHrbawtok16BY+08IpS+DjZR9LTGeHxAhBEEQbWblyJdatWwcA8PT0xNatW1HZwMwP0UbEiMNjRnQMG35mvn+D/ZgFIqfQ9sXB8oqYVcPHgia1PXTKreeXWv4aq9WpbRIbaV16cGv06REE8PoCSyh4RhiDxAhBEEQb+Pvvv/Hcc8+J+9988w2SkpL0GuQ1D14FmmXTdNAA1jCd/jS5xbYvDlZQylwz/t7m11np250tXkm15QXZGpQa14y6EQG+8pYHW4mriwwSlX6pdW9Xw4JnhACJEYIgCCvJyMjAjBkzxIDVxYsXIyUlBQBQoBPvGR5g+KKVu3Dw1lgDHGkZ8ZADzk7mvfijQ9mLurjC9nMqqbAuq6VntwCAF9wz1Y1mBsDooFvbRCKx32tQLtH/wQZ42j4jqatAYoQgCMIK6urqMHnyZJSWCi+ciRMn6vXrKmR1rmCqKWqo5ri2Cqs9EZvkWeCViIlgvpOyKtvX4yitZJ852N+5hZH6ODtLIVUJHQgbeMvLp7PaJvatNqdb+AwAwgOp4JkpSIwQBEFYCM/zmD9/Pk6dOgUASEhIwHfffaf3LbuwjL14gkzUDNMGsdY1ANW2bx4rwvO8mM5qbiYNAHTX6U9TWW++WDCXihpmoQm3MKtFLhHUHi8LRE2t+Zk4NbUKQCqILEtqm1hDoJf+vKjgmWlIjBAEQVjIhx9+iLVr1wIAPDw8sHXrVvj4+OiNKapg28EmxIijglgrawCVxiNiiRjpFsNMOrUK2xfrqqpn7dEiQiy7v7eO1eHUhUKzr8vIqRC35U72dZtEBOlbQnrEWhCle51BYoQgiC4Fz/Oob7SfOfzQoUN49tlnxf2vv/4aPXv2NBhXqBMzYsoy4qiS8NYErwJCECanFFRSox3609Q2MmtLTLhlsR8BOlaHs1fKWxipT4ZOx14PV/MtKtagW/gMAPp0t19Z/c4OiRGCILoMPM/jtoU8vMbz2LTT9oKktLQU06dPh1IpBE++8MILuOuuu4yO1VpGnGSmm7E5qgqrpR17dXES+9PYvnJofROruREdblmKrW7DuSsZ5tdAyc6vFbctqW1iDT1i9X/wVPDMNCRGCILoMqTlATuOAUoVsGKdbcWIWq3GnDlzkJ2dDQAYPnw43nzzTZPjtZaRIF/odevVxVFuGmstIwAgl2le9FIPlJRZF2MxbPZOBI8+jKOn8/SON6o1ykhVCWdnywJkY8KY1SE9z3wLh25tE3t17NWiW/qdCp61DIkRgiC6DLqujqOX9INI28qKFSvwyy+/AAACAwOxbt06yGQyo2PVal60jAT5mL6no6qw6velMb+eBwB46PanSbe8P832HddwIHskipSDMf2FVPH4rkNZUMqiAADuXI7F902MZjEmOUWm106hUOGBl/fi9Y+PAtCvbRLgbd9XYP+ewYBaeJ6bxPy4lusREiMEQXQZmlsXfjtsm/v+8ccfePnllwEIVo7vvvsO4eHhJseXV7OAUVNpvYADLSNtcNPo9qdJzbK8aNexc0zAZFQno6hUcJO89zUTJjcnWR4w0zvBR9wuqjSd6fPIkgNYvW8YXtvQH2u3XdTr2BvkZ1xM2go3uRNu63EQMmUWnkipbf2C6xgSIwRBdBmav9B/PdR2a0NGRgbuvvtuvcJmt912W4vX6NUYaSFm0VFVWEt1m+RZ6Kbx92LXWtOfJi1Xp5Gd1ANvfHIKALD7HFNpT98bY/F9++vEX1TWm87E2XFM85rjJPh0U4FebZPQAMurt1rKH1/cgqYDMVj27FC7P6szQ2KEIIguQ3NXxx9HgCal9YKkuroaDz/8MCoqKgAAd955J1577bVWrzMnkwYAPN04uGuKnNrCMvLm1zwS71Zj+z79z1ym56ax7J5t7U+TU6jW29+4S4ZTFwpRzfUBALgor2HciFiL7+vnIwenFFRfncrH5Li8mkhx+2RGgH5tkxD7dOwlLIfECEEQXYbmL/SqWuDAOevupVarcf/99+Pq1asAgKSkJHz77bdmlQ8v0rOMtByjoVuFtS0omngsXcPjag5w71s88kuYIMnWaZFiqWUkPJC5QPKKLe+QW1iuv15Fin549t0L4v7guFyL76nFGcKiKSWBouVKl3OXi6CSRYj7tVwS8iqYFSUqlOp+dBRIjBAE0WUw9kL/5aB1lpFly5Zh69atAABvb29s3boVXl7mmRV03TQtWUYAFsRaVQvUNVhvxSmuELKItPd65hPhXn8f57F9v3Dc0w0Is7B6enRY2/rTlNU2yyCROOHvK8xl8eiMUMtvqsHdWRMMI5EjO88wnmXdL+n6BzgJylTJ4m5shOV9bQj7QGKEIIgug1aMyKSA1oDx6yHL7/Pbb79h8eLFAISA1W+//RaJiYlmX19YrtNzpRUxYqsg1uZCYf3fwA+7eMxdxuby5oMcXF0sy6aJ1e1PU215f5rqRiP5sxIhVkOmzMaMieava3N83Vg8yulLhkGwO48ZSUXmNEGrvArhISRGOgokRgiC6DLka2I1IgKBG5KE7fPpQGaB+RaH1NRU3H333WLjuqeeegoTJ060aB56bppWaoXZqgprSaXhsemv8aKL5pb+wOPG67O1SGIsU1NV9ZYHfDbywgJIlXlwUV7TO5ccntamrrlBPiwz5lKa4QJcytURG+omvXOcqhIyGb0COwr0kyAIokvQqODFFNZQf2DCUGYBMNc6Ultbi8mTJ+sFrD722GMWz0UvgNWn5bG2qsKqaxmRagwY2kbAXu7Ampc5SCSWWUUAID7KF+CFeIzaJsv6x9TVN0EtFfxQrpIyjEjSjw+Zl2J5x11dwgLY57mWrW8FUShUKFfGAwAkygL4y07rnZfB8jRlwn6QGCEIoktQoCMAQv2BiTeyfXPiRniex4MPPoizZ88CALp3746vv/7aqm/uujEjgT4tj7WHm+b5WUIZei2rFnCICrZciACAs7MUnEpY3Ea1ZdGv568UA5ywfl6utVj0cDfxnERZhIdm9LZqTlpiw5ilJqtAP7j2t91pgFSwjAS7ZeLmXvpixVlCdT86EiRGCILoEui+yEP9gX4JLHj00AXj1+iycuVKrF+/HoDQiXfLli1mB6w2R+um8fcGZLKWRYCtqrAWV7BrRyRz+OAJDm6uwCOTgDnjrb4tAMCZEz6QShIApdIwa8UU564yVRbg2YgRQyKRHLgHUNVg1rDLbXaTJMSweJb8Uv113vpPvridHNeAuSn6RerkTvUgOg72LT9HEAThIPTFCAeO49AzhkdRuVCBtLyah6+ncWGwc+dOPP/88+L+N998g6SkJKPpoq3B87xoGWkteFWYq/HPYCm6lpFAH2D8DRwenWydNaQ5Xs6VKFYBkLjgUmoJencPMuu6KxmsQ26InyCWTv04CkqlGjLZyDbPq1cCW+DSav0qrIfOM3E2/iZf3DEmHpLX8qGWCdk77i727dhLWAZZRgiC6BI0t4wAQDedL8OpJspZZGVlYfr06VBp6re/8sormDx5stXzqK0H6jW1wRwpRnQDWFtzDVlKoBezIhw/V2z2dem5rEhaVAj77murwNE+iYHidlWDfjxLRqlGMPEqzJjYDRKJBPG+rAS9l9zymimE/SAxQhBEl0DXxaF9wSdEMMvAVSO92Orr63HXXXehpERIYxk/fjyWLl3apnlYUmMEAHw8ABfNl/q2lITXtYwEWFjYrDUiApmF6NxV44GfarUaC5cdxNPLL0ChEIRdThG7Lj5CbvS6tuDl6QJOKfzs6nWqsBaV1qJBIsSnuKpTERIouHPGD2WpyUG+9mtMSFgOiRGCILoErVlGrjWzjPA8j0ceeQTHjx8HAMTFxWHt2rWQSi2vpaGLbiaNOZYRjuPEQmS2cNO4uQJurrZxz2iJj3ASt69kNRicLyiuQdS4Q/jgjxux7fzteHTpQQBAUQVbyx7xNlZIGlw4YcGVkiDRrbbup6sAJzw7xo91y337mcEIcz4Ed/U5vPG49fVNCNtDYoQgiC6BUTHCKoHjWo7+N+FPPvkE33zzDQDAzc0NW7duhZ9fK0VBzKCogm3r9nVpCe18y6qEFGVr0IoRW7toAKBnPCtcllWo/5l2HcpCbEoOchtZVdW/TwivFt3qq327B8AeeDhrLDUSF6RmVgAA/jjAzFM39GLz9XB3Ru6Om1Czry9uHGC66zLheEiMEATRJdCKEamUvZDjw9h5XcvInj178PTTT4v7q1evRp8+fWwyD3Ob5OmiGzeim6JsLioVjzJNrKg9xEj/nmyChZUsnXbf0WyMfsYNDVJ9K0NudTQAoLZJk42kbkBspH0sI75uzFJz5rLgsjmTzuY4abT15eYJx0FihCCILoFWjAT7Qizu5S7nxNRZbcxIdnY2pk6dCqVSCGB8/vnnMX36dJvNQzdmxBw3DdD2INbyakCb+BNoh3d+/57BAC/EgVTWs3TnZ969Bl4mWJOclOlwUQlNBVWycBw7m49GXvhgMnVRmyqttoR+FVbBSlJUGyIcUNdj4qg4uzyXsC0kRgiC6PSoVLzoHgltVtRTGzdSXAEUljZgypQpKC4WMkJuu+02vP322zadS5FOXxrzLSPMlWBNSfjmab22xk3uBKmqAABQz7MMlsxiN3F7xwfOGBjNzE9f/ZgKXib8MORSnQnamIgg9hpLzalHUWktmqRRwryRDmfntsUAEY6BxAhBEJ2eonJmGTAlRgDgoSfewdGjRwEAsbGxWLduXZsDVptjjWVEv/CZ5c+0ZyaNFjepMDFeFoCSMqGaaVmDJn1WVYObB4Vj9GAmTrbuY+vqLbdftdPYcOaSySlU4rddGWLV13BvK3xeRLtAYoQgiE6PseBVLd100nt/+ksoxSqXy7FlyxabBKw2p60xI9ZUYdW3jNg2k0aLn1uNuH30bAGqqhuhlAoRwnJkQyKR4O474sUx+Q19xe0AT/0mdbYkMYYF1xaUcdh5lP0y9Iq1vGgd0T6QGCEIotOT36wvjS4JOhk1kAsvy6+++grJycl2mYvWXeQhNz/Ftq0xI/YseKYlxI8JitOXyrHzUJaYPhvkKZiDusf5w6lJU1hMwuqKhPrbr6ZHb50qrCXVLjh9lQmQm5KtK+dPOB4SIwRBdHqal4LXxcupiO24JuDZZ5/FzJkz7TYXrWUk2AKjS1vFiL1jRgAgJoS9Li6l12L/SRbcEhfChEqYZ5bBtdGhTgbHbEWvxECxq3BVgzsySpilZMKoSLs9l7AtJEYIguj06IkRHRHQ2NiIVxbOEve9Qwdi2bJldptHo4JHhcabEeRj/nX+XoBME2JhTRVW3SZ59hIjPWKZpSM9T4VTl1lKbXICi9sY0K0RzekW6WZwzFa4yZ3AqYRFa1D7obJJECASZRF6JQS2dCnRgSAxQhBEp8dYKXgAeOKJJ3Ds8E5AIWSCuHj3gkxmv/6guhYKSywjEgknztsqy4gD3DR9EtmN80qlSM1n63hjP7botw01dI0k2an6qhZXTlg0lSwMvEyIBvZxMlL/n+iwkBghCKLTYyyA9f/+7//w+eefAwAkjWkAgKIKCWrq7Be/YE0mjRbtvIsrAKXSsjk6wk0zuG+wuF1S447CKs2DeDVG38jcIWNuDAVU+v1r+ibZ10Lh4VxtcCw2yPAY0XEhMUIQRKdHV4wE+wGHDh3C448/Lh4bNjBE3G7eo8aWFFnYJE8XrRjheX1RYw7aAFYnGeDl3vJYa4kK8xZFRk2TP2p5ITJYqspDgB9zw8hkEvg7XWUXqmoQFuRhn0lp8PMw7JfTL9F+FjDC9pAYIQii06MVIwHeQFlpIaZMmYKmJiGo8sknn8S4ESzl1J5iRN8yYlmKbVuCWLWWkQBvofGevXCB0HROKY0ApILrxce5wGBc72hmlXDiS+xWfVVLsK9hCu+owf5GRhIdFRIjBEF0anieF1/eIX48pk+fjry8PADAyJEjsWLFCv3uvTYIJbiSzeP5/6mx74y+O+XEFbZvScwIYH0VVp7n7dokTxcvZ82DOPbqiPCvMxh36w0so8VNVmHfSUG/CisAgFdhwqhYuz+XsB0kRgiC6NSUVgJNQpsZVJVcxt69ewEAERER2LBhA5ycnPRqjVzLbXvMyL/f47FiHTByAY/l3/PgeR4f/8jjox+F8xwHJMe3fI/mWFKFtaicx5ELwnOr6wCFJrPW3mIkyLve4FhStKElZs7kRHBKIcc5IbTS4LytiQt31dt3VmXCz0duYjTRESGnGkEQnRrdF3fW1UMAAGdnZ/z4448IDhaCLuN1LCNXbWAZOXVN+L9aDbzwKY+fDgD7zrDzbz3EISGyLW4aHoDx60sqeAx4kEduMfDuoxxShrNz9hYjEYE8zjersD6op6fBuLBgT6x/5Sp+2XMB/3l2sH0nBSAhRn8OQR6FALrZ/bmE7SDLCEEQnRq9uhyKfADAf//7XwwZMkQ87O3BiS/qtsaM1NTxKNNPFtETIq/cC7x0j+VxG7r1UVqyjLz+tSBEAOCDTbxe0Ky9xUh8hLPBsVuGhhkdO31id3z9nxEICbRv8CoA9E7Q94klhivs/kzCtpAYIQiiU3MxTSeFU5GDhx9+GPPmzTMYp40bySsBauutd9Vk6xR07RUrlH3X8vR04I0HrQsgNSeA9VoOj/9tZfs5xcDmPeyzBHjbL3gVAHrFNxMWqmr06xlk12eaQ8+EAIBXiftDepGLprNBYoQgiE6LUqnEh5/+KO53j3HHqlWrjI7VddVkGCaAmI2uGLlzGHD4Mw733w6sWsDhvcc4q7NZgnwBbdKJqSqsL/0fD6VK/9jnP7Nte1tG+vcM0Nt347LtniljDq4uMkhUxeL+uJuNW2uIjkv7/xYRBEFYyYsvvoj0PKW4v2r5c3BxcTE6NjaUbbdFjGTpiJGoYA49YzisfkmCBVOtFyIAIJVyYqE0Y5aRg+d4/LBL2A7yBdw1X/4rWTNd+4uRXsEAz9Y7yMPCgih2xNtJcNFxymLcPCiildFER4PECEEQnZJ169bhvffeA5zZi2dgb9Mug5gQJhQy8q1/bnYRc4tE2thDoXXVFJYDKhV7Ds/zePa/bH/pAxxSbja83t5ixNVFBqmqUNyPD1O2MNqxfPmKF5J89+L9h/Igk9GrrbNB2TQEQXQ6Tp06xeJCXAT/i4sz4N9CC5QYVoQVGQWms1VaI4u9ixFlJzGiUgmFzEI0+3tPAwfOCds9ooAHJwLRwRzW/qUf+2JvMQIA7tJSVEFYc90Gee3N5NsSMPm2hPaeBmElJB8JguhUlJaWYvLkyaivF2peOHvGAQAiAluuPhqj46ZJb4NlRE+MBJseZw2699N1JZ24wrafns5BJuMwdpBQcVUXR4iRAE8WMDxycPsHrxJdA4vFyFtvvYVx48Zh5MiRmDFjBvbs2SOeW7NmDcaOHYvRo0dj1apV4Hmm2s+fP4+ZM2di2LBhmD9/PvLz2/CvAUEQ7c4XP/PoM0eNdTvs13iuOUqlEjNnzkRGRgYAYOCQUVCohb4oEa30YosMYgGitghg9XQTUoZtSbdwdj/deiipeWyNe8YI/3eScZgxmo3hOMDPsOSHzXnz34FwVV1BH/89uHMs1fIgbIPFYmT27Nn46aefsHv3brz66qtYvHgxKioqsG/fPmzatAlr1qzBxo0bceDAAWzbtg0AoFAo8Pzzz2PmzJn4559/kJycjMWLF9v8wxAE4Rh4nscLn/I4lw48uJxHXoljBMkrr7yCHTt2AACCgoKw4sN14rnWxIiTjBPHWCtGeJ4XA1htbRUBYLJSbKpObZR4nUSRu8cy8eLnJQTB2ptZd/RA/f4eOLNllN2fRVw/WBwzEhMTI25zHAelUoni4mL8+uuvmDx5MiIihL+me+65Bz/99BNSUlJw/PhxODk5ISUlBQAwb948jBkzBrm5uQgPDzd4hkKhgEKhX7RGJpPB2dmw4E5XRK1W6/2faBlaL8uwxXqVV0Ms/FXXALz6JY//e86+gmTDhg1Yvnw5AOHfg40bN6KBY26CiMDWP1NMiOBmKa0EKmvU8HRrcbjBWhWVA42af5oig2z/OxenIzSu5rD7pwqtduDmCgT58lCrhbW+oadgKbmQIZSfb++/AfpbtIzrZb3MSf+2KoD1nXfewU8//YTGxkYMGzYM3bp1Q3p6OsaNGyeO6datG1JTUwEAaWlpSEhggUWurq6IiIhAWlqaUTGyevVqfP7553rHpk2bhunTp1sz3U5LdnZ2e0+hU0HrZRltWa/zmU4A2Jtz9a88pt2Uj8SIJhvMzJCLFy/qFTJbtGgRoqKisGlPCQCh9oVcWorMzBoTdxAI9PQHIBTuOnAiDz0izZuvdq3OpjsDEIJPfOXVyMwsa+Eqy5EqAI6LAs9zuJDWiMzMAqjUQHpeFAAOEQEKZGXpu7j/97gMfx6XY8KQOmRmqozf2MHQ36JldPX1io1tvWmhVWLkxRdfxHPPPYfjx48jNTUVHMehrq4O7u7u4hh3d3cxwKy+vl7vnPZ8XZ1ht0cAmDt3LmbPnq0/0evMMpKdnY3IyMgOUVCoo0PrZRm2WK8TWc3uyXP48Kcw/PSODSbYjLKyMjzxxBPivydz5szBokWLwHEcGnSMMX27+yM6uuW28b3igR/3CdsKSRiio1t+dvO10v3cPeM9ER1t+yCNyCDBepNd4oLo6GhkFgBNGo3RI9oZ0c0mHR0N3DwIACxsE2wH6G/RMmi9GFan9kqlUgwZMgTr1q1DZGQk3NzcUFtbK56vra2FXC5U5ZHL5XrntOfd3IzbSJ2dna8b4dESEonkuv8FtQRaL8toy3plFvAA9N0yvx4Cdp/icMsA28UtqFQqzJ49G2lpaQCAQYMG4dNPP4VUKgUA5BYz83ZUMAeJpOVnx4axeWcVtj5ei3atcorY9dEh5l9vCd3C1cgqFNxgFTWcJvOH15wzz+Td3tDfomXQetkgtVelUiEnJwexsbG4du2aeDw1NRXx8UIP7bi4OL1zDQ0NyMnJQVxcXFsfTxBEOyDU6RCYfwc7/vynvF4WXVt57bXX8OeffwIAAgMDsXnzZri6snbxOawCeKsBrECzWiP5ls/TngXPtOgFseaweBEAiA+3f4AqQbQHFomRmpoa/P7776irq4NSqcSOHTtw7Ngx9O/fHxMmTMDmzZuRk5OD0tJSrF27FhMmTAAADBw4EI2Njdi2bRsUCgW++uorJCUlGY0XIQii46NbwXTRfRz6aL5XHLvUcsdZS/j777/x9ttvAxAssZs2bUJkZKTeGG2arZPMvBobsW2sNaJfCt7y681BN733Wi6QqpNVE0//ZBJdFIvdNFu2bME777wDnucRGRmJN998E927d0f37t0xdepUzJkzB2q1GikpKZg0aRIAwe2yYsUKvPHGG1i+fDl69uyJN954w+YfhiAIx6B9kTs7AeGBwOgBwFnBk4KrOUBYgOlrzaG4uBj33nuvaGVZtmwZRo4caTBOaxmJCIRZLpPwAEAqFSqcWpPeqxU/HCfcyx5000vvbWYZof5vRBfFIjHi4eGBzz77zOT5uXPnYu7cuUbP9erVC+vXr7dsdgRBdDh4nhdf5NHBgggQXAuCcLiaA4zs17b7z507VyyMeNttt2HhwoUG42rreZRrioGa46IBAJmMQ2SgMH9rxIi2+mqwL+DibB+XSTcd68e1XF6sMSKVAtEhxq8hiM7O9R0xQxCExZRVATVCYovo9kjU8Z5cyW5bzMj777+PX375BYBQ2Ozrr782GtyXW8K2IyyI39CWhS+vBiprzJ+rookXXVD2ctEA+q6YqzoxI1FBQuE2guiKkBghCMIidC0K2oBQ3aBL3TLmlrJjxw48//zz4v4333yDkBDj5oAcnfgNcy0jgH7cSGvWkUYFkFEoGJDzSgBtbK49xYjchVWKPXUVqNIkIlK8CNGVITFCEIRF6AZ+xoQK39Qjg4T4EcB6MZKWloYZM2aI1SgXLVqkV0ixOfqZNOZbDGJC2NiMFoJYy6t53PAIMPr5cLz4mX6DPHtl0mjRxo006BSipngRoitDYoQgCIvQfYFrLSNSKSe+LK/lQixXbi41NTVISUlBWZlQ0fRf//oXli5d2uI12TqWEUvEgV56rwnLiFLJY+YSXgzKXbEO+Gw7+0xRQfZ1l3QzYgXpRmm9RBeGxAhBEBahW2NE1+WhjRtpVOgLhdbQBqyePXsWANC9e3d89913rRaByilm87DETaMvRoyLpmf/y+PPo/rHvt/Btu1uGTEiPMhNQ3RlSIwQBGER6UYsI4D1cSPLly/HDz/8AADw8vLCtm3b4O3t3ep1lhY809JarZEvf+axSpgOnGRAn9hGgzH2jBkB9NdSC4kRoitDYoQgCIvQujZcnYFgnXYoCRHs27y5YuSvv/7Cyy+/LO5/99136N69u1nXasWITAoE+Zr3PECogSITqskbuGnySng8upJZSz5+Cvji6SKDgmr2FiPdjIiRuFDDYwTRVSAxQhCE2ejVGAkBOI4JEEvTe9PT0zFz5kwxYPW1117DHXfc0cpVDG02TViAELNiLlIpJ4qJ5mLk0HlAoWnkO3cC8OC/gEBvNb5gCT5wcTav2mtbaB6sGuwHeLhRzAjRdSExQhCE2ZRUAnUNwnZss2/qlrhp6urqcNddd+kFrL766qtmz6O+kUdJpbBtTfyG1r1UWQNUVDPhpJsxM1qn4d+/bgJen8fB2Ql4epp51V7bgrucQ6hOA2LKpCG6OiRGCKIToVar8dZ/j+GH3y63y/PTdUqTxzQr/xEWALhpeti1JEZ4nsfDDz+MU6dOAQASEhLw7bffWtS1NNfKeBEtpuJGsop0M2b0r1k8h0PNHxyWPeyYfzZ1M2ooXoTo6pAYIYhOxLgHd2PR+gGY9mYYjp21otNbG9EveKZvHeA4TnyBpuUJ6bHG+Oijj/Ddd98BANzd3bFlyxb4+PhYNA9rg1e1xIayuafpCCxdy4ixuBBHVkDVtTTFh5GLhujakBghiE7Cb7vTsOPKUGFH6o6129MdPgdj1Vd10caNKE00otuzZw+eeeYZcX/NmjXo1auXWc8uKuexahOP6a+pcc+bumm9lr+odS0NaTqaTq8RnhUix5YkRrLPZSy7hiC6EhZ37SUIwvGo1WrMfrUckMSIx86nGaac2pv0fOM1RrQ0jxvRzQrJycnBtGnToFKpAAAvvPACpk6d2uLzeJ7H7lPAp9t4bN4DNCkNx/SKteQTCOhmpqTl8QCEF7/WMhLqL1hBLC3eZkvmjAfW/gV4uQMpw9ttGgThEEiMEEQn4LGlB1DO36R3LKNA6vB56FlGjIoRDrrde2/XHG9oaMCUKVNQVCSYHm699Va89dZbrT7vnbXAy/9nKAjcXIGBicCkmzmMGWjppwDidAJCtV1xGxU8CoR4Wrun7ppDiD+HM2vIPUNcH5AYIYgOTnp2OT77K9Hgr7Ww2tPhc9GWgpe7GE9v1bWMCOm9HHiex2OPPYYjR44AAGJiYrBu3TpIpa2LqU07mRAJ9AHm3g7MGsuhdywga0P8hr834OkGVNcxN41uHErz4FWCIOwLiRGC6OBMefoUeNlIAEC4yyHk18ZCLQtGjdJ4N1t7oVtjJKZZjREturVGtBk1n376Kb766isAgFwux5YtW+Dv729wrTG0QiEyCLj6PQcXZ9tYCjiOQ3w4j1NXgcwCIdi2teBVgiDsBwWwEkQH52yeJihC3YAt78bAQyq8NdWyYBQU1zhsHjlFrItsnIm6F4E+QowDIIiRffv2YcGCBeL5L7/8Ev369TPreeXVPCo1Hy8xEjYTIlq0cSNKlRC4qi9GyD1CEI6ExAhBdGBOXSiEUhYFAPCSXMbg5DAEeVWJ5/ccyXXYXM5nsO2eMcbHcBwnumoyC3hMmXY3lEoh6nThwoWYNWuW2c/TTbk1JX7agu490/KBLJ3mfuSmIQjHQmKEIDowa7enidtJ4RUAgJhglXjs6Nkyh83lQgbb7hVj2nKgddWoeQ5FlYKZZPTo0XjnnXcsep6uGNGtC2Ir4sP1a41kFeoUPCM3DUE4FBIjBNGB2Xm8Qdy+dYgbAKB3vIt47Gxqg8E19uJCBntZm7KMAM1qYrh1R3R0NDZs2ACZzLIQNd3KqPZoEtc8vZdiRgii/SAxQhAdmEv5LNDznkndAACDerMWten5jvsT1nXTJEWbHpd79R9xW+bZG5s3b0ZAQIDFzxPqfwgYq2nSVvTSe/NYzIibK+DnZfvnEQRhGhIjBNFBKauoRy0SAQBOynR0jxOEyfDB7C1aWOWY9F6e50U3TXSI6Q6yBw8exNf/e1HcHzr6fgwYMMCqZ9o7ZiQqGNC2w0nNZTEjUUHGM4UIgrAfJEYIooOy/ucrgMQZABDjywJVo8K8wSlLAADVSsf4E/JKgKpaYbunCatIXl4epkyZAmX1eYBXAwAapXFWP1PrpvF0E+qC2BpnJ04MVD2XzroRk4uGIBwPiRGC6KD8tIcFp97YW/+cu1R4U6tloSgpq7P7XHSDV43FiygUCkydOhX5+fmAugGunFCQ5FKWYFWxFJWK1TSJDbWfpUJrcVE0sWMkRgjC8ZAYIYgOyqlUubg9bZx+D/kgT5beu/tIjt3ncl6nJ19PI5k0Tz75JA4ePAgAiIyMxM0DhBiR6jogt9hgeKvkFAv1PwD7uGi0GLs31RghCMdDYoQgOiBqtRqF9YKLg1OWY/wI/W5wMcGsY9wRB6T3Xshk1o3mjem+/PJLfPrppwAAFxcXbNmyBckJzuL5i5mWP8/emTRa4sMMhQfVGCEIx0NihCA6IH/tywQvE6wLga7XIJPp/6n2jGUv+3PX6u0+H103jW4mzZEjR/Doo4+K+5999hkGDhyIpGj2krdGjNi7xogW45YRuz2OIAgTkBghiA7Ipj+Y6yU51jAmZFAvH3E7Lc++f8Y8z4tumohAwMtdEAdFRUWYMmUKFAqhRvxjjz2GOXPmAAB66AiWi5mWx4zopvU62k0TSZYRgnA4JEYIogOy74xa3J443Nfg/Igh7C1aUOVh17kUlAIVmh4xWhdNU1MTpk+fjpwcQTQNGzYM77//vnhNkp4YsfyZem4aB4uRiED7PY8gCOOQGCEII6Rnl8Nz+GnIh13CmUtFrV9gQ9RqNdJKNTXVeSVm35loMCY20hecshQAUN1k36/yF3TEhDaT5rnnnsPu3bsBAKGhofjhhx/g7MxcR35eHII0GsocMfLFzzwip6ixcqNgEUnTESMxdmxO7OfFwUdHywX7Aa4uFMBKEI6GxAhBGOGBRadQw/VBgzQRL39w3qHP/m7bJTTJYgAA3tw5BPi5GR3nJhHe2CpZOMoq7Bc30jyT5rvvvsOqVasAAE5OTvjxxx8REmKoGLTWkaJyoKzKtKumpo7HUx/xyCkGnv0vj3NpvBgzEhZgf3Ggax2h4FWCaB9IjBBEMxoaldhzlVkjruU69s/kg7WsScqdQ2tMjgv0qBS39x61X3qvbk8ameIq5s+fL+5/9NFHuPHGG41ep+uqudSCdWTTLqBWo6XUauCJVTyKyoV9e7potOiJEQpeJYh2gcQIQTTj9Y+PQS1j+aT5lbZtVKJQqFBV3Wjy3Om8HsKOWoGlT/QxeR/d9N7DZ0ptOkdddDNpXn12KurrBeUwb948PWHSHHMzar76Vd9qsusk27ZHT5rmxJMYIYh2h8QIQTTj85/1/yxqlLZ7Ix48kQv5qCJ4T+AgH3YJiRP34JFX90GhECp8fbDmFNQy4Y0Y4nISsZGGwatakmKdxO3TV9rmplGpeGzezePkFX1hwPO82CDPBSXITj8LABg8eDA+/vjjFiujJpmRUXMlm8e+M8K23MXwvD1rjGiJD2efIZoKnhFEu0BihCB02HUoCyVK/cZualkQsvIqTVxhGau+vSaIDU6GBmkirlbfjM923YSkSQegVqvxxbZaceysMS2nxI4cxDrhXsyStWle/9sKTFnM44ZH9AWJEO8hbDeWnwIABAUF4ccff4Srq2uL9zQno2bNb+xZS+Zy6J+gfz7OSFEyWzN1lBCYGx8OzBht98cRBGEEEiMEocNLq1IBTvNnoWbWhp0HbROTkVGgNno8rXYYJj6yG1cr+goHVFVY9Gj/Fu91+8hYQC00Vcmralvk5dFLgihoUgIPv8tDpRL2v/hZZ1DdechkMmzatAmRkZGt3jM8EPDQVLQ3JkZUKh5f/y5sS6XAfeOAFY/qiw9HuGl8PTmc+5rD1e85hPiTZYQg2gMSIwShoaZWgcOZvYQdtQKDwo+I5w6fLbfJMwrLmQVj/fNXMOemfeL+75dGAlIhPiXe+wz8fOQG1+vi5ekCV15IdWnkYkzGoZhDvk7IydFLwGfbgVNXeSxZrWkQw6uAorVYuXIlRowYYdY9OY4Ti59lFAD1jfqWnj+PCt2AAWDiUCDEn8OYgRxuv0E45iTTt67YE47j7NaMjyCI1iExQhAaXll5VCzBHul2HLfdwFJqz6U2mbrMIsrrWFGLW26MxJp3RmBo+G6DcQ9OcjfrfqFemi50Eif8siu95cEtUNCsvc1L/8dj5hIllCrNPxHZyzFnSm889thjFt1XKyZ4HricpX9utY6L5oEJTAh8u4jDszOBjUs5BPiQQCCI6wESIwSh4Zs/mSXimVluuHkgK8WZUehs7BKLqVUKAamcshxB/oLg2P31CPhLjoljJMoiPHV/sln36xnNMmr+PmRFe1wNzcVIVS1wOVsq7NScRv+An/G///3PYuuBbkaNblZObT2PbRqjUJAvMEEnO9jfm8OKRyVIGU5ChCCuF0iMEASAX3emogL9AADOyjQsmJOM4YMiAF542ZfUms5qMRelUg2lRMiUceGYcHB2luLw1wlwUV0FAExIvghXF/MCUm/uz9KOT1xWtjDSNE1KHsUVwnZiJODvrXNSrYBv8VPYunkD5PKW3UbG6BPHtk9fY5aQM6mAQmNsuuMmwElGwoMgrmdIjBAEgEWfMB/ChAE5kEgk8HB3hpNKCFytRyTUauPBp+ZyKbUEkAj5q57O+tk58dG+KPkzFjuX52DbJyPNvucdo6PE7fRi6+qhFOmEwyRFAzMGMysNl70Um79diqioKCNXtk6/bmz71DW2fTqVbfdPICFCENc7JEaI656yinqcyte4RdT1ePc55iLxddVYMKTuOHG+0MjV5nPiQom4HeDVYHDew90Zo4ZGQSIx/8+yV0IgJMoCAEBlU4xVgknXRePClePr5aOBC1OBS7Px/tMhGDVqlMX31BIeCARoLC0nrwp1SwB9K0lyN2NXEgRxPUFihLjueeHdY+ClPgCAOK8TiI9mLpkI/zpxe/fh/OaXWsTF1CpxO8y/bVYWXfxcBOsNL/PF0TMFFl+vm0mz49dvUVtbC5RuwT3jZHjyyQVtmhvHsdohxRUse+a0jpWkb3ybHkEQRBeAxAhx3bN+FwuSeOE+H71zPaLZn8jxi9Vtes7VLGYNiQ1rW5EyXeJDWKG0X3ZZXg9F1zJSVnARANC/f3989tlnNkl31S1kdvIqoFbzOJMm7MeGAl7u5KYhiOsdEiPEdc3GXy6jRtIbAOCquoIHp/fSOz+wJ4vDuJTZNmtGdhFzTSRGm5e6aw6Dk1imz8EztS2MNE6BblsbRT78/f2xZcsWuLkZ7xZsKf0Tmdg4dRVIzWWN8chFQxAEQGKEuM55+yvmekm5odAgXmPUEFYCNKe0bS/nwnLWS6Zv97Zn52i59SbW3e1SjuUpyMfP5YnbnLIIGzduRHS07aqN6QaxnrzK6wWv9utGVhGCIEiMENc56UU+4vbbT/c1ON+vZxCgEtwzFY2BBuctQbfg2cDetmsPe9vwGEAtuIAKayyrn15WVoY//jkl7j/92CyMHm3bBi0JEYCbpo3NyasUvEoQhCEkRojrmhqVIAokyiKjHXIlEgnkEOIwmqQRqKlVWP2sOpW24FkZAvxs4wIBAFcXGdwgBGE0SaNQVGqeq4bnecybNw/1SuaKemPx4zablxaplEOyJkg1PR/YdYqdS6bgVYIgQGKEuI4pKK4ROugC8JCazkIJ9NAU4uBk2HMk26pnmSp4ZisifDSBH5wE23ekmXXNhx9+iK1btwLOgjXFx0MNN7nU5nMD9INY950R/u/lDsQ4oBEeQRAdHxIjxHXLniO54naQV5XJcTHBrC/NvhPWCYlzV4oBiRDP4eVi+lnW0ieOuT52Hi1rYaTA/v378dxzzwk7ziEAgLAA+/1zoBvEqqVvPKg5HUEQAEiMENcxh8+wNJKYYJXJcb3jWVDo6Sv1Vj3r9EWdgmeehgXP2srIgT7i9plrvOmBANLT07FgwQKoVCpA6glIBZdRqL/NpyXSz0hsiLFjBEFcn5AYIa5bzqc1its940xnodzQl8WSXMmxzo1xXqfgWXiA7QqeaRk/gpVrzyn3NDmutrYWd911F8rLBdfT8LEzxHMhfjaflkjvWEDabOmSKZOGIAgNJEaI65b0fPbrP7i36VTbf90SC6gF4ZJRbl2PlmtZTPjE2LDgmZaEWD9wSsH6UtUUZnQMz/N44IEHcOaMELSRkJCAFxa9L563pxhxdeHQs1m2MAWvEgShhcQIcd1SWMUsCCOGhJsc5+cjh49EqEyqlEVh16Esk2NNkV3MXCc9Yj1aGGk9njIhBkYtC0ZmToXB+eXLl2Pjxh8B7xFw94nGli1bUN3I5hLqb19LhW4Qq0QC9I4zPZYgiOsLEiPEdUu1Ushu4ZQliArzbnHswG6sy+5XmzMsflZhOXMD9Um0XcEzXcJ8mCvor/36WT+//fYbXlz2CzDgGNB3J1yGnkZMXJJe9VV7WkYA/e68iRGA3IXcNARBCFgkRhQKBZYuXYqJEydi5MiRuP/++0WTLwCsWbMGY8eOxejRo7Fq1SqxQycAnD9/HjNnzsSwYcMwf/585Oe3rekYQbSFkrI6qGVCXqm7tPXfxZnjAsTtXacsjxupqLdPwTNdekSxv7cDpyvE7aMnUzHpuVKg7y7AXSjsVlbrib+PAwVl7JoQOwawAkA/HcsIFTsjCEIXi8SISqVCWFgYvvzyS+zcuROzZs3C008/jbq6Ouzbtw+bNm3CmjVrsHHjRhw4cADbtm0DIIiY559/HjNnzsQ///yD5ORkLF682C4fiOgc1NQqcO5ykfhfW4qJWcPuI6yhXJBH66m296QkASphXE5NApRKy4JQ61SC2YFTlsDPR27RteYyqCcTPOdSleL27U/mo8nvboPx2/bpd+y1ZzYNAAzrA9zYC/CQA49MIqsIQRAMiyLp5HI5HnroIXF/3LhxWLlyJTIzM/Hrr79i8uTJiIiIAADcc889+Omnn5CSkoLjx4/DyckJKSkpAIB58+ZhzJgxyM3NRXi4oa9eoVBAodB/OclkMjg7W953ozOiVqv1/t/VeOejn7BowzDwMmZtgKoK3z53FXffmWTx/axZr8OnSwAIX8+jg5tavdbZSYJgl4soVN4AXhaAH3+/jGkTupv1LIVCBZVUsIa4ciVQqwNaucI6Rg0JBtYL25nFcqjVauQUVKGUvwHgAE5djbcfdsLr37igvpHDzwd59IlloiDIh4da3XJacFuQSoC9HwOKJsDF2b7PshVd/W/R1tB6Wcb1sl7Ne34Zo01h/VlZWaiqqkJkZCTS09Mxbtw48Vy3bt2Qmip0xEpLS0NCArPRurq6IiIiAmlpaUbFyOrVq/H555/rHZs2bRqmT5/elul2OrKzrav22VFpamrCsmXLsGZPMhB+h/5JqRde/OgUhiVbXybdkvU6dq5c3I4IaEBmZmar1/SLLcMfV4XtzzelYUgv15bnk1+DrLwaZBU0ANxIAIC7rNysZ1lDkLcaUNUAUg+U1QchMzMT/1t3FeDGAgASvA9jxs0J2Hk8EH+ecENROYe9NTwADs4yHlVlWagub/kZ1ytd7W/R3tB6WUZXX6/Y2NhWx1gtRhoaGrB48WLcf//98PDwQF1dHdzdWVt0d3d31NcLBaLq6+v1zmnP19XVGb333LlzMXv2bP2JXmeWkezsbERGRpqlKDsDhYWFuP/++7Fnzx6g32HxeLDsCAobewJSD+Q29Ie3rxN8vFp+yTfHmvXKr2SC4JahUWZ1qf33zCb88YawfTorwOg1CoUK73x2Ap9u41HYNBDg9ONLgnyabNoRtzlyXEQ9kqCURcLbtwmHL6WL58YOliM6OhrTx6rx5wnNfJsEy0iIP4eYGPvNq7PSFf8W7Qmtl2XQejGsEiNKpRIvvvgiIiMjRbeNm5sbamtZg67a2lrI5YJvXC6X653TnndzM/4t2NnZ+boRHi0hkUi6xC/ogQMHMG3aNOTl5QESN8CjHwCgVyxw7uuhSJi4B9eqbwaknnjvq6N465kbrHpO8/Uqq6hHeWUD4qMNs1cKKlla76gbws1a5zvGdIPktQKoZSEoUSShrl4JD3f2e/rFhrP49yovKGWDhQNGwiL6JXB2/ZkGe5Yhow4AJ8XOQ+k4l8U+56x/xUAikeCOmwAJx0PNswmG+JlnSr1e6Sp/i46C1ssyaL2sSO1Vq9VYvHgxOI7DkiVLxN4SsbGxuHbtmjguNTUV8fFCVaO4uDi9cw0NDcjJyUFcHBUa6MrwPI8PP/wQI0eOFIQIAP+Y2wFO0MA39RbGzR7HLCHr/rJNIGtOQRVCJ+Sg22w3LPnwiMH56qYgAEIHXWPdeo0hkUgQ5SW4HiH1wDdbLuqdf/F/DVDKItl4ZT6i3Q4g1n0/Yt33Y0y33fjkVeuElrl0C2OBq7uOFKOsKUEzlwLcNEBwiQb4AIMSG/Wus3daL0EQREtYLEbefvttlJaW4p133oFMxgwrEyZMwObNm5GTk4PS0lKsXbsWEyZMAAAMHDgQjY2N2LZtGxQKBb766iskJSUZjRchugY1NTWYPXs2nnzySSiVwgty1KhReGjhanHMTb0FIfvM3GRAJdTxSK/qg6rqRsMbWsiL752EQhYPSJzwnw1eegFiZRX1UMmE3z03SZ5F9x0zkG1v/JM1pFMoVCjVvPg5ZRleTjmK2p3ByPj9ZqT9Nhxpvw3Hjq9usdgFZSn9e7D7/7hHAki9AABh7ul637zGDtB3kdo7k4YgCKIlLBIj+fn52Lp1K86fP4+xY8di+PDhGD58OE6ePImbb74ZU6dOxZw5czB16lQMHToUkyZNAiC4XVasWIF169bhlltuwcmTJ/HGG2/Y5QMR7c/ly5dxww03YN26deKx5557Dn/99RfOZLDYoWEay4iXpwvivM4JO1IvvPvl6TbP4afDXuJ2gzQRn284J+7vO8a69QZ6VMISHprGapifTGcWld92p+m8+K/grWdugKuL7cu+t8aIQUHidn7DAHF7UPcmvXG39tdv+EeWEYIg2hOL/rUMDQ3FsWPHTJ6fO3cu5s6da/Rcr169sH79estmR3Q6fvzxR8ydOxfV1dUAAE9PT6xZswZ33XUX1GoeB84J6ZyBPkC3CHbd3bc5480twvb3fzbg9aesn8P+4zmoQrLesXe+rsTDs4TtQ6dLAAguwuggJSzhhn5hcFKmokkWiyo+CQXFNQgJ9MCWv/MBCEKlX3zbLTvWMvrGKEDdBEichP80TBqln04cHaxErxjgfIawH2LnUvAEQRAtcX1HzBA2Q6lU4rnnnsPUqVNFIdKrVy8cPXoUd911FwDgUhZQUSOMv6k3xHgjAFg4L1ksKpZW2btNRdDe+PSqwbGMmkG4eE1oJHf2GrMKJMU6GYxtjcQgTRqexAmfrb8AADh0ntXMGD+s/cwMbnInOKub9c5R1WH6RMOaKCnD2XZsqJ0nRhAE0QIkRog2U1BQgLFjx+Ldd98Vj82aNQuHDh1C9+7sJbj/LLtGGy+ixcfLFTGewgBe6oP3V1vnqlGr1dh1nsUihbscEjYkLnhmuXD/tDz2az+wZ8s9aYxx+1AXcfunPUKWWEZZiHCAV2LmxARjlzkMf7cSvX1v6VW4yQ1F18IZwNRRwEN3AGMHGpwmCIJwGCRGiDZx8uRJDBo0CLt37wYg1INZtWoV1q5dCw8P/e60WhcNIJQGb87MseyF+d3v9YYDzOCH366iUSZUVvXkz+Kb15kw2XEuDll5lcgsZZaLkS106zXFI7N6ALwQEHs+LxQ5BVVolAguGrn6KgL8rC/cZgtighr09ntGVBgd5+0BbHpdgv97TgKplNw0BEG0HyRGCKv56aefMHz4cOTmCgGhYWFh2LVrFxYsWKDngtGitYw4OwEDEw3v99yDyYBaeJFmlEUYDjCDd79h2TETBlVg9I3R8JcIcU5KWSSipzuhVtILAMCpKhAf7WPxM+KjfeGmvgxACI79z/+dBTjhTykusNiqeduSvt30rSBjh7ibGEkQBNExIDFCWAzP83j//fcxadIksZjd0KFDcfz4cQwbNszoNcUVPK5qetMNTARcjbSP9/ORw4MT4j2aZDG4ml5mMKYllEo1jmdrVI66CUufENJ1Hr5TpweKhKW+3hhz2upCQ32iisTtL/5gebE39bG8o6+tuam/fszKvZOoRS5BEB0bEiOERVRVVWHGjBlYuHAheF54yY+7ayHmvbQLPr7BJq87yDJrxWJnxkgMYQLk+5+vmR5ohGf/cwhqmRCJGeR8Ct3jBJHw2uODIFddEgap6tDdey/WP38F+9feYtH9dUkZpZ86rGXKrdZZdGzJbTdHiW4kZ2UqEmIpb5cgiI4NiRHCbM6dO4fBgwdj06ZN4rHnX3oDh+uX46F3nfDqV8a7sPI8jzW/6caLmI5PuDmZlVf/52ityXHNqa5R4H+/MSHwxBT2q+3sLMXZ70Px7n2nkLFBiUs/jcSMf/Uw+97GmD+jp+hS0sIpy3Hrze3f3yUk0ANDwveCU5biwXFFrV9AEATRzpAYIcxi3bp1uOGGG3DlyhUAgLe3N7Zt24Z/zXhFTNf9+ndApTIUJG99A2zZK2x7uQOj+pt+zvTb2cv8fJaH6YHNePb9a1DKogAAvtwJvPxv/fSQ+GhfLHxwAKIjfMy+Z0v4+cjhI9UvB+/vktph+kscXn8LlPv88clrxt1mBEEQHYmO8S8n0WFRKBR48skncffdd4tdlvv164fjx4/jzjvvxCWdkhZF5cDeM/rXb9nDY/GXgkDhOOC7RRx8PU1bRm7sHwaJshAAUNrUDUql2uRYLZk5ldhxWdPzhVfjk2c9HCIKBsVX6e33jjLfkuMIOoowIgiCaA3614owSV5eHkaPHo0PP/xQPDZ37lwcOHBAbIJ4MVPfEvLDLrZ/JpXHvW+x/bcf4nDHsJZTSCUSCYLlGcKO1Bu/70lvdZ4znjsJXibERcR5HMSsO9rmgjGXmbcH6u2PvcHTxEiCIAiiJUiMdHEKy3j8cYT9d/QiD7XaeGyHLnv27MGAAQOwf/9+AEJ/of/7v//Dl19+CblcLo67mKl/3Y+7AbVaeMa9b/Ko1ZQLmX0r8MJs8+bcN47FYmz9u+VGdr/tTsPR3KHCjroB37wZa95DbMDsO3uIVWMB4O474lsYTRAEQZjC8Z28CIeRVcgj6V4edfpxlnhjHodFc4xfw/M8PvjgAzz33HNQqVQAgMjISPzwww8YMmSIwfjmYqSgTKgnklUInEkVjiV3Az5/njNae8QY42/ywR9CGQ8cOGfaTfPPwUz86yUXQCak6w4JP4RhA0eb9Qxb4Ooiw+CIkziaPxJhzocQG3mTw55NEATRlSDLSBdm614YCBEAeH8jj/pGQ+tIdXU1Zs6ciWeeeUYUImPGjMHx48eNCpHaeh6ZBcK2rs74fgeLEwGA9x7jIDdSV8QUM/+VAPDC89NLgoyO2XUoC7ctlIipvM7Ky9i0coDRsfbk0LqROPBBPrL/HOrwZxMEQXQVSIx0YXTLrz8xhZVgL68GNvyjP/bixYu44YYbsHHjRvHYSy+9hD/++AOBgfqxEVou6wSvptwsVFYFgE+3Aen5wvatg4AxAy0rNR4S6AFXtVBjpEHSDQXFNXrnD5/Kw9hnOKhkQil3F9VV/Px2IyJCvAzuZW8kEgluHBBOwaIEQRBtgP4F7cIc0BQac5cD7z/G4d1HmSj47xYmVLQumIsXhVRVLy8vbNmyBW+//TakUtMVRXVdNDf05DBusOGYt+db1/Mkxl9TH4OTYsMv+sXP7l98lQkR5TUc+8oH3aItb3hHEARBdAxIjHRRsgt5ZGve5zckATIZhxt6Av01DWWPXgIOnWvCwoULMW3aNNTUCNaH3r1749ixY0hJSWn1GbqZNEnRwNRR+sJj2i3AoB7WiZEbe7Nfzd8PlOudu1aqqUWibsCRr3zQM8G45YYgCILoHJAY6aIc0Cm/rnXPcByHf6cwcZDy6O94//33xf3Zs2fj0KFDSEhIMOsZupaRpGjgzmGAkyYkWioF3nzQ+k6wd40NE7dPpbJ+MsfO5ovFzbwkl9G3h/GYEoIgCKLzQGKki7JfJ17kpt5MFNw9FnB3UQIAClW3ADIfODk54eOPP8a3334Ld3fzO7xqxYizExAbCvh4clgyl4O3B7D8EQ6JkdaLkfEjYsEpBYtIYUN31NU3AQC+2ZomjukTWWH1/QmCIIiOA4mRLorWMsJxwNCewjbP8/j8s1Woy/hUOCB1g3fCAuzevRuPPfaY2am3ANCkZF14EyMENxAAvHwvh4pfJXhmhvVCBABkMgmiPIUYFl7qg0++OwsA2Hm8SRxz+zAqMkYQBNEVIDHSBamp43FKE/PZK0awWNTU1GDWrFl4+umnwef+VxwbOuAV3HjjjRY/Iy0PUArZt0iKafucjTFpOBM03/0mFBe7VhwiHOBVmHNXorHLCIIgiE4GiZEuyNFLgKZMCG7qDVy+fBk33HADNmzYIBysv4wQd8GscSlLhuq61iuyNqd5vIg9eO7BPoBaAQA4XxCP1MxyNEgFAeKmvtIuqbwEQRCE7SEx0gXZf5ZtuzQex+DBg3HhwgUAgKenJzZv3ow7R0eIY05fa36H1tEXI21zyZgiIsQL/jKh855KFo75S06J57qHFtnlmQRBEITjITHSBdEtdvbRW7NQXV0NAOjVqxeOHTuGyZMno38iExAnr1r+jOZpvfbi1gH14vY/V1iF1bFDXI0NJwiCIDohJEa6GGo1z/q5KAqBBqFBzMyZM3Ho0CEkJgpujv462bsnr1rvpuE4IDGyTVNukYVzdeJCpCxgde5d5qUfEwRBEB0fEiM2RKlUi/+p1aYbvNmTDT+dQWWt5sdadRAymQwffPABvv/+e3h4eIjj+sQB2grmllpG0vJ4nE8XtmNDYVHfGUsZ1CcU7urzeseclalI6hZgt2cSBEEQjoXEiA1QKtWIum0/nG5Rw2k04DQakI6oxx3/3umwOfA8j//+97+491GWKePJn8U///yDJ5980iBt182VQw+hdhjOpwOKJvOsI+l5PG55kkd9o7A/Itkm02+RGxNL9PbjAvLs/1CCIAjCYZAYsQEffnMa2Q03ApzOckrk+PnsEKRmlpu+0EbU1dXhvvvuw2OPPQaVG4ur+OaTxzB8+HCT1w3QeECalBAtHS2Rkc/jlqd4ZBUK+z1jgP88Yj+riJZHZ0bo7Y/qb7pfDkEQBNH5IDFiA/77Q7W47aq6AplS085WIscz/zll12dfu3YNQ4cOxXfffScc8BwkPFrC49Yb/Vu8tn+C+UGsWYWCRSSzQNhPigb++YBDkK/9xciksfFsTQHcc2eM3Z9JEARBOA4SI22kqLQWqZX9hB1VJfJ/i8H2ZSxe5LdT0VAq7RM/sn37dgwaNAhnzwq5vG4e/pB6CX6TntEc3OUtCwVzg1izC3mMWsAjQyNEukcJQiTYz/5CBAAkEgnmjskG1PWI89iPYQMjWr+IIAiC6DSQGGkjr314EpAKgaE9/M/Ax8sVt4+Mgy93AgDQJIvBu1+etMmzcop4rPmNR2mlCi+//DImTZqEyspK4dk9euCLdUegUgs/0kE9Wr9fPz0xYvqZtzzFIz1f2E+MBHZ+wCHE3zFCRMv/vTEc9X+7IPVX024ngiAIonNCYqSNbNzF6l0smOErbs+7nfVQ+XCjos3P4Xke/3qRx9xlPKLuyMGy5SxQddq0aThy5AhKGmPFY4N7tC4WfD05xGiqq5+6BqhU+taR8mrBNZOaK+wnRAA7V3EIDXCsENHi6iJrl+cSBEEQ9oXESBs4ejoPZep+AACZMhMPz+otnlv65CBIlIJfI18xCIdPtS0D5Fwaq5Rah0igx/eQSJ3w3nvvYcOGDfD09MTRS0xMDDbDMgIwV01tPXAtV//c6l/ZsfhwQYiEtZMQIQiCILouJEbawOKPL4sZNMMTMyCRsOV0kztheLfLwg4nxXPvXW7Ts97+7Iz+Ab/xmPpcKp555hkxbffYJeGUkwzoG2/efVuqxHrsMhM3617lEB5IQoQgCIKwPSRGrEStVmPneRZI+eojhm//d5/rAfBKAMD+1CQ0NCotfg7P83jrrbew/s9qnYPCfTbuD8fqXwXBUF3H45Im4SS5G+DibJ5w0AtivaLvptFaYpxkwj0JgiAIwh6QGLGS77ZdgkImCBAvnMaooVEGYwb1CUWo83EAgFoWhNU/XLDoGbW1tbj33nuxaOkHgOdQAICPcy4+fpoJjcdW8igs43H8MsBrtMSg7uY/o7+JINaGRh6Xs4XtnjGAsxNZRQiCIAj7QGLECPuOZmPQ9J14fvlBk2XdP1hbKG5PGlptdAwATBjKrCHf/1Zq9hzS0tJw0003Ye3atYDv7aI7aP7UcDx2lxPmTRTG1TcCKzfyOHqJXWtO8KqWsAAg0EfYPnlVsMQAwPkMQKUSjieb6fIhCIIgCGv4//buPSzKOu/j+Htg5DCgoYuHPCweMA+RmktSoIHIaggWnsKiHsUU9+pqubQ27WntcW1tH7Vd02y7olRoH+mAeEgU7WBqWlqZmlm6q3hIKzyhyRlheP4YHRwPySAzd8rn9Y/3aX7z+32vcfz4u++5b4WRK3jg6Xy+yo/kxVVhBPbfzpqNBxz2V1RU8fWP568QtZYz/Y93XLWtJ5JqHvS2/VDzWr3/smXLSEhIYPfu3QB4tkiw7xsSbgsa08ea8Gpk2/bqCvjwS+cvXgUwmUz2mZSTP8O/z5/quXCKBqBnsGZFRETEdRRGLrFn/0kKqnrZ109X92bwn1sTM3a9fZZkbsZOrOaWANzqvZMO7ZpeqSkAenVviU+V7eLVEo/ufLvvxFWPraysZPLkyYwcOZKioiIAunXvgc+tQwBo1gTuud12bJvmJsbcZ1suLIEPt9mWLT62u6M6o3/vmrCxznZWia/314QbXS8iIiKupDByiVkLvgPT+WefnL9QFA8v1u2PZNLftgCw4L1i+/GjBlz7AXO9fvuTffmVxVf+VU1+fj4xMTG8+OKL9m2JiYnMTttCcZmtP4PvBk/PmuAwJcmE5yWPabmzM5jNzs1kDKh5nA3rvrKN5+u8mm06TSMiIq6kMHKJNV9425dfGvstfVpvtK+/ktuefx84xb4zPWwbqs4y9fE7r9lm4sCamZO1n18eXj799FN69+7Nxo229zKbzUybNo3MzEw+2l5zU7X4exxDRsfWJh4a4NiWM6doLujVGZo2ti2v32G7+dmF0zRtmkNggE7TiIiI6yiMXORo/lmOV9iChmfljzzxaE+2vBVJc88vAbCab+XOR/PBswkAnW7ZRbMA32u2O+7B26HqLACHz3axP6umurqauXPnEhUVxU8/2WZPWrduzfr16xk9ejTnKk1kn89CZk8Y1Ofytp9JcgwKzly8eoGHh4n+5zPVmSJ4b7PtT9CsiIiIuJ7CyEVmv/ENeNhmRrq33I/Z7IGHhwfv/K0VWMsAKPXsZj9+3AN+tWrX38+LW332AFBtDuStnL0UFhYyatQoJk2aRGWl7XRQ//792bFjB+Hh4QBkrYcfzl9iEncPBDS+PGjc3sHEsHttyyYThIdcdkitDPhdTdsvLdH1IiIi4j4KIxdZvqlmecyQW+zL0fcE0a/D5w7HelQeZ+KYnrVuO/rOmufTvJSxh7CwMLKysuzbpkyZwgcffECLFi0A2z1D5rxb8/qnEq8+4/Han0xMuB8WPWOi/a11O6Uy4Hc1y5svutlrz046RSMiIq6lMHJewZlSjhbbfqJrqjzF40mOP9ddNi8Mz8qj9vUet+516sFtfxjV0b6881AL9uyxzZQ0adKE5cuXM3PmTMzmmvY++87HfhFpn27Qt8fV224eYOK1P3kwJrbuweG2drbrQy6lmREREXE1hZHzXkrfBZ7+AAQ323NZ0AhsZuF/Hj4G1nKoKuSFJ9o51X7f0HZ4VZ5PF03uBnNT7rjjDrZt20ZCQgIrNlXzcnY1Z4ttp0gWrGlif+1TiSb782dcxWQyEd3bcZuvt+1JvSIiIq6kZ7IDZwvLmbvMB87/e//wQJ8rHvc/T9xFdNgRLL6N6B3i/JWdvYLy+eKHTmDyJHzI3/hw8X9hsVj4ck81Q/9sCyEzMyF1OGz8xnZhbFAr7NeEuNqA3ib+7/2a60Xu6Oj4U2IRERFXaPAzI1arldBRn1Nksp2W8az8gSeTr34tSN+72tE7pFWd3uuFSaH25WadU7BYLAD866IA8NMp+O/Xa14zcYTJ6fuG1NWlMyM6RSMiIu7Q4MPIsD9+wr7CvraVqhIyJhfSpLH3L7+ojqJDfWgdaFv+YBv8XFRNVVU1SzZc+fhb/OCxeJd05YratTQ5nJbRxasiIuIODTqMPP/Kl7y3K8K+nhr7NY8kdHfZ+3l4mBgeaVuuOAc5n8HGnXCswLZtaD9Y+b8m2p+fePnzo9DY4t5AMPCumuXQOtxATURExFkN9pqR9z85yLS3O3Phfur9gjYyb2p/l7/vyCgT85faTstkb6imxUWPtRk1wMSQCBP39alm++6j3NXT/VePPvuoiUP51XRvb/sVj4iIiKs12DByR5dAWvl8S/65Ptzq9Tkfp0e65X3DQ6BVM8gvgLVfgOX8GSGLj+3GZmDLRy0CqtzSn0u1DjSxapZOz4iIiPs02NM0rVs25sj7fRjW8xO2v30HZrN7SuHpWXOqprwCThfalu+PAD9fhQAREWl4GmwYATCbPVg6P4pWzf3d+r4joi4PHaOiFURERKRhatBhxCj9euBwrUgTP7gvzLj+iIiIGMmpMJKdnU1SUhJhYWGkpaU57MvJyWHw4MFERkYyffp0zp07Z9939OhRxo4dS0REBElJSfznP/+pn97foDw9TQ43MhvaD7y9NDMiIiINk1NhJDAwkJSUFKKjox2279+/nzlz5vDiiy+yevVqjh07xoIFC+z7n332WcLCwvj4448ZOnQoTz/9tP1JtQ3V+HgTnp7g4QF/eEBBREREGi6nwkhUVBSRkZE0btzYYfvatWuJjo7m9ttvx9/fn7Fjx7J69WoADh06xMGDB0lOTsbb25sRI0ZgtVrZuXNnvQ3iRtS7i4k9/zLx7Zsm7r5dYURERBquevlp74EDB+jTp499PTg4mPz8fEpKSjh48CC//e1v8fLyctifl5dHaGjolZqjoqKCiooKx46azQ5t3Aw6tbH9abVWO2y3Wq0Of8ovU72co3rVnmrlHNXLOQ2lXh4e1573qJcwUlpaip+fn33d39/265SSkhJKSkoc9gH4+flRWlp61fbS09N54403HLaNHDmSBx98sD66e8M4cuSI0V24oahezlG9ak+1co7q5ZybvV4dOnS45jH1EkZ8fX0pLi62rxcVFQFgsViwWCwO+wCKi4vx9fW9anvJyckkJSU5dvQmnBm5GqvVypEjR2jXrl2tEmVDp3o5R/WqPdXKOaqXc1SvGvUSRjp27Mj+/fvt63l5ebRq1QqLxUKHDh04cuQIFRUV9jCRl5d3Wdi4mJeXV4MJHr/Ew8OjwX9AnaF6OUf1qj3Vyjmql3NULycvYK2srKS8vByr1UpVVRXl5eVUVVVx33338fHHH7Nnzx6KiopYtGgRcXFxALRv35727duTkZFBRUUFy5Ytw2Qy0atXL1eMR0RERG4wToWRhQsXEhERwYoVK1i0aBERERHk5uYSHBzMpEmTePLJJxk8eDDNmzfnscces7/uhRdeYOvWrfTv35/s7Gxmz56N2dxgH4sjIiIiFzFVV1dXX/swcSer1crhw4cJCgpq8FN3taF6OUf1qj3Vyjmql3NUrxoNe/QiIiJiOIURERERMZTCiIiIiBhKYUREREQMpTAiIiIihlIYEREREUMpjIiIiIihFEZERETEULrpmYiIiBhKMyMiIiJiKIURERERMZTCiIiIiBhKYUREREQMpTAiIiIihlIYEREREUMpjIiIiIihFEZERETEUAojIiIiYiiFERERETGUwogbZGdnk5SURFhYGGlpafbt1dXVpKWlERcXR1RUFDNmzODcuXP2/SkpKYSHh9OvXz/69etHamqqQ7sZGRnExMQQHR3NvHnzuBnu7O+KWuXk5JCUlERkZCTx8fFkZGS4c0gu5arPFkBlZSWJiYkkJCS4Yyhu4ap67d69mzFjxtCvXz/i4uJYt26d28bkSq6oV0VFBTNmzCAmJoYBAwbw3HPPUVxc7NZxuUJdawXw5ptvEhcXx7333svDDz/sUI+b8Xv+ShRG3CAwMJCUlBSio6Mdtufk5LBu3TrS09NZvXo1p06d4o033nA4ZurUqWzatIlNmzbx8ssv27dv3ryZJUuWkJGRQVZWFp999hnvvfeeW8bjSq6oVXl5OZMnT2bdunW8/vrr5OTksHbtWreMx9VcUa8LsrKy8Pf3d2n/3c0V9Tp58iRTpkwhJSWF9evXk5mZSZcuXdwyHldzRb2ysrLYu3cv2dnZrFy5koKCAtLT090yHleqa62ysrLYsmULCxcuZOPGjUyfPp1GjRoBN+/3/JUojLhBVFQUkZGRNG7c2GH75s2bGTZsGC1atMDPz4/Ro0ezatWqWrWZm5vL0KFDadu2LYGBgTzyyCPk5ua6ovtu5YpajRgxgp49e2I2m2ndujXR0dHs2rXLFd13O1fUC+DUqVMsX76c5OTk+u6yoVxRr7feeov4+HjCw8Mxm80EBATQtm1bV3Tf7VxRrx9//JF77rmHgIAA/Pz8iIqK4sCBA67ovlvVpVZVVVUsWrSIqVOn0qpVK0wmE507d8bLywu4eb/nr0RhxGCXTrkdP36coqIi+/qcOXOIiYnh8ccfZ9++ffbtBw8epHPnzvb14OBg8vLyXN9hA9W1Vpfavn07HTt2dFk/fy2up17z588nOTkZHx8ft/T116Cu9fr2228BSExMZNCgQUybNs3hdTerutYrPj6er7/+moKCAoqKili/fj1333232/pthKvV6vjx45SVlfHRRx8xcOBAhg0bxvLly+3HNaTveYURA4WHh7N06VJ++uknCgsL7VOVpaWlAKSmprJy5UpWrVpFWFgYqamp9nOJJSUl+Pn52dvy8/Ozv+5mdD21utjixYs5e/Ys8fHxbu2/u11PvXbt2sX3339PbGysYf13t+up14kTJ8jNzWX27NksX76ckpIS5syZY9hY3OF66tWuXTsCAgIYNGgQ/fv3x9PTk+HDhxs2Flf7pVpdCCXff/89K1euZNasWfzzn/9kx44dQMP6nlcYMdD999/P73//e1JSUkhMTKRPnz6YzWaaNWsGQEhICBaLBR8fH0aPHo3FYuGbb74BwGKxOPxjW1xcjK+vryHjcIfrqdUFa9as4e2332bu3Lk3/f/461ovq9XK3//+d5566ilMJpPBo3Cf6/l8eXt7M2TIEIKCgrBYLIwdO5ZPP/3UyOG43PXUa+bMmZjNZjZs2MD69evx8/Nj3rx5Rg7HpX6pVt7e3gCMHz8eHx8fOnfuzMCBA+2fn4b0PW82ugMNmYeHBxMmTGDChAkAbN26la5du+Lp6XnV4y/o0KED+/fvJzIyEoC8vDw6derk+k4b5HpqBbBhwwbmzp3Lq6++Sps2bVzeX6PVtV7FxcXs3buXJ598EoBz585RXFzMoEGDWLp06U13QesF1/P56tSpk0Nwawgh7nrqtW/fPiZNmmT/H39cXByvvvqq6zttkF+qVVBQEI0aNbrq56chfc9rZsQNKisrKS8vx2q1UlVVRXl5OVVVVZw5c4ajR49SXV1NXl4eL730EuPHjwegsLCQrVu3UlFRwblz58jMzOTs2bOEhIQAMHjwYJYtW8bRo0c5deoUmZmZDB482Mhh1gtX1OqLL77gr3/9K//4xz9uur/I9V0vf39/cnNzyczMJDMzk6lTp9KyZUsyMzMdpotvVK74fMXHx5OTk8PRo0cpKysjIyODvn37GjnMeuOKenXr1o3c3FzKysooLS0lNzeX4OBgI4dZL+pSK19fXwYMGMDChQupqKjg4MGDfPjhh0RERAA37/f8lZiqb9YfLf+KpKWlXfazt2nTphESEsKkSZM4ceIEzZs357HHHmPIkCEAnD59mtTUVA4fPozZbOa2225j4sSJdO3a1d5Geno6ixcvxmq1kpCQQGpq6g3/vzJX1GrChAns3LnTfoU6QGxsLM8++6z7BuYirvpsXbBt2zZmzJjBihUr3DEcl3NVvd555x3S09OprKwkPDycyZMnX/arihuRK+pVUFDAzJkz+eqrrwC48847eeaZZwgMDHTv4OpZXWoFtvD2/PPP8/nnnxMQEMCYMWMYNmyYff/N+D1/JQojIiIiYiidphERERFDKYyIiIiIoRRGRERExFAKIyIiImIohRERERExlMKIiIiIGEphRERERAylMCIiIiKGUhgRkRtaaGgooaGh5OTkGN0VEakjhRERuaaUlBT7P/oPPfSQw74zZ84QERFh3z9//vx6f/+cnBx7+yJy81EYERGn7Nu3j+3bt9vXV6xYQXl5uYE9EpEbncKIiNSa2WwG4N133wWgqqqK7Oxs+/aL/fzzz8yaNYu4uDjCwsIYOHAgzz33HPn5+fZj0tLSCA0NZciQIXz00UcMHz6cvn37Mn78eA4dOgTAX/7yF6ZPn25/zYUZkrS0NIf3KyoqYvr06URGRhIbG8uCBQvqe/gi4iIKIyJSa7fddhtt2rRhw4YNHDt2jE8++YT8/HwGDBjgcFx5eTkpKSksWbKEkydPEhQURHFxMWvWrCE5OZnTp087HH/8+HGmTp2KyWSivLycHTt28PzzzwPQtm1b2rRpYz82JCSEkJAQWrZs6dDGK6+8wpYtW2jUqBEnTpzgtddeY+vWrS6qhIjUJ4UREak1Dw8PRo4caZ8RuTBDkpiY6HDc+++/T15eHgCzZs0iKyuLhQsX4uHhwYkTJ8jKynI4vqqqitmzZ5OdnW2/JmXXrl2UlZUxbtw4xo0bZz82IyODjIwMEhISHNro0qULOTk5DjM1X375Zb2OX0RcQ2FERJzywAMP4OvrS1ZWFtu2baNbt2706NHD4ZjvvvsOAB8fH6KiogDo2rUrQUFBDvsv8Pf359577wWgY8eO9u2XzqD8kpiYGBo1akRAQADNmjUDoKCgwLnBiYghFEZExCmNGzcmNjaW4uJi4PJZkbq2eYGnp6d9ubq6+rracOb1ImIchRERcdqDDz4IQNOmTRk4cOBl+7t37w5AWVkZGzZsAGDv3r0cPnzYYX9t+fj42JdLS0vr0mUR+RW7/BJ4EZFrCA4OZt26dXh6euLl5XXZ/kGDBpGZmUleXh5TpkwhKCiIH374AavVSvPmze1hprbat29vXx45ciSBgYFMnDiRXr16XedIROTXQDMjIlInt9xyC/7+/lfc5+3tzeuvv24PDocPH8ZisRAbG0t6ejpNmzZ16r06d+7MuHHj+M1vfkN+fj67d++msLCwPoYhIr8CpmqdVBUREREDaWZEREREDKUwIiIiIoZSGBERERFDKYyIiIiIoRRGRERExFAKIyIiImIohRERERExlMKIiIiIGEphRERERAylMCIiIiKGUhgRERERQ/0/XUwKGR1gIDEAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# проверка восстановления более сложного ВР -> восстановление значений линейно между последними значениями\n",
"series_ = series.copy()\n",
"values_ = series_.all_values(copy=False)\n",
"values_[10:30] = np.nan\n",
"values_[60:102] = np.nan\n",
"\n",
"\n",
"fill_missing_values(series_).plot(label=\"without missing values\")\n",
"(series).plot(label=\"with missing values (shifted below)\")"
]
},
{
"cell_type": "markdown",
"id": "c3ac3894",
"metadata": {},
"source": [
"# Forecasting "
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "f7fd1585",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='Month'>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#наивное прогнозирование\n",
"from darts.models import NaiveSeasonal\n",
"\n",
"naive_model = NaiveSeasonal(K=1)\n",
"naive_model.fit(train)\n",
"naive_forecast = naive_model.predict(36)\n",
"\n",
"#подбор помог сильно повысить точность благодаря сильно выраженной сезонности \n",
"naive_model_podbor = NaiveSeasonal(K=12)\n",
"naive_model_podbor.fit(train)\n",
"naive_forecast_podbor = naive_model_podbor.predict(36)\n",
"\n",
"series.plot(label=\"actual\")\n",
"naive_forecast.plot(label=\"naive forecast (K=1)\")\n",
"naive_forecast_podbor.plot(label=\"naive forecast (K=12)\")"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "ab2da4d5",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from darts.utils.statistics import plot_acf, check_seasonality\n",
"\n",
"plot_acf(train, m=12, alpha=0.05, max_lag=24)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "560889da",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"There is seasonality of order 12.\n"
]
}
],
"source": [
"# проверка сезонности\n",
"for m in range(2, 25):\n",
" is_seasonal, period = check_seasonality(train, m=m, alpha=0.05)\n",
" if is_seasonal:\n",
" train_period = period\n",
" print(\"There is seasonality of order {}.\".format(period))"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "898483cd",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='Month'>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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mZmLjxo347bffMGzYMAAQzbhycXHB0qVL2eOYmBgcO3YMmzZtQu/evVFSUoLi4mKMHj2aVYM6duzIzvfy8oJcLmffw5SMjAyTXVLPPfccWrdujd9++83o1PTdu3ejqqrK5HvXt1tt4cKFCA8PZ9eHFx4ejqysLGi12kYzlY8QUj+GS8EDurFtXl5eKCkpoTDibKEBdZ/TED63a9euosdhYWGiBWv27duH9957D5cvX0ZJSQmqq6tRWVmJ8vJyozfCadOm4eWXX8bx48fRp08fJCcn45577kFsbCwA4Ny5czh48KBouWBeampqjTBiyt9//80GJ/P69++Pjz/+GBqNBjKZDADQq1cv0Tnnzp3D+fPnkZyczJ7jOA5arRbp6en466+/IJPJMGjQIJOf/fnnn2PdunXIzMxERUUF1Go1G5QaEBCA2bNnIz4+Hg8++CCGDRuGKVOmICwszKzvxauoqIC7u7vR10aPHo3t27dj9erVeOGFF2q8bs8FhpYvX44NGzbg999/r9E+hUIBrVYLlUpl93FEhJCGwVgYAXRdNRRGGgBLukqcycXFRfRYIpGwGRHZ2dkYO3YsnnnmGbz99tsICAjAkSNHMGfOHKjVaqNhJDQ0FEOGDMEPP/yAPn364IcffsAzzzzDXi8rK8OYMWPw3nvv1fhZS2/Y5jBcdbesrAxPPfUU5s+fX+Pcli1bitaiMWbDhg14+eWX8eGHH6Jv375sMPWJEyfYOYmJiZg/fz727NmDH3/8EYsXL8Zvv/2GPn36mN3uoKAg/PXXX0Zfe/TRRzF27Fg8/vjj4DgOL774ouh1e3XTfPDBB1i+fDn27dtXI8QCQEFBATw9PSmIENKM1BZGABozQmzgr7/+glarxYcffsjK7hs3bqzz52bMmIEFCxZg+vTpSEtLw7Rp09hr99xzD7Zs2YJWrVpBLrf+j75jx474448/RM/98ccfaN++PauKGHPPPffg0qVLaNu2rdHXu3TpAq1Wi0OHDtXohuA/o1+/fpg3bx57jt//SKhHjx7o0aMHXnnlFfTt25eFM1dXV2g0mjq/X48ePfDll1+C4zjRAn+8WbNmQSqVIiEhAVqtFi+//DJ7zR7dNO+//z7efvtt7N27t0a1iXfhwgX06NHD4vcmhDRedYWRsrIyk/+ONTSNo4TQDLVq1QpVVVX49NNPkZaWhu+++w5fffVVnT83ceJElJaW4plnnsHgwYNFYx/+7//+DwUFBZg+fTpOnjyJ1NRU7N27FwkJCWbdpHkvvfQS9u/fj2XLluHKlSv49ttv8dlnn4luysYsXLgQR48exbPPPouUlBRcvXoVO3bswLPPPsu+86xZs/D4449j+/btSE9Px++//85CWLt27XDq1Cns3bsXV65cwZIlS3Dy5En2/unp6XjllVdw7NgxZGRk4Ndff8XVq1fZuJFWrVohPT0dKSkpuHPnDlQqldF2Dh48GGVlZbh48aLJ7/Loo4/i22+/xaJFi0RT3aOjo9G2bVuT/zNc6C8lJQUpKSkoKytDXl4eUlJScOnSJfb6e++9hyVLlmDdunVo1aoVcnJykJOTI5pVBegG3Q4fPrzW608IaVrqCiMcx5ncA67B4YhTDBo0iHvuuedEz40bN46bNWsWp9FouLS0NO7DDz/kwsLCOIVCwcXHx3P//e9/OQBcYWEhx3Ecl5iYyPn6+tZ47ylTpnAAuHXr1tV47cqVK9yECRM4Pz8/TqFQcLGxsdzzzz/PabVao+0sLCzkAHAHDx4UPb9582auU6dOnIuLC9eyZUtuxYoVotejo6O5jz76qMb7/fnnn9yDDz7IeXl5cZ6enlzXrl25t99+m71eUVHBvfDCC1xYWBjn6urKtW3bln2PyspKbvbs2Zyvry/n5+fHPfPMM9yiRYu4bt26cWlpadzNmze58ePHs5+Njo7mXnvtNU6j0bCff/jhhzk/Pz8OAJeYmGj0O/PXcNGiRaLnAHDbtm0TPffDDz9wMpmMW758ucn3qg2AGv+Ljo5mr0dHRxs95/XXX2fnZGdncy4uLlxWVpZZn8n//eKvCzGNrpVl6HpZpr7Xa82aNezfhDVr1rDnx44dy56/deuWrZprVxKO4zgH5x9SB61Wi4yMDERHR9PMCDPY43qdP38eDz74IFJTU40O+G1IFi5ciMLCQnz99ddmnU9/v8xH18oydL0sU9/rtXLlSjZj8ccff8SUKVMAADNnzmQTBa5cuYJ27drZrtF2Qn9bCDGia9eueO+995Cenu7sptQpJCSkUS/TTwixDr/6KiBeN6kxLnxGA1gJMUG4ZkpDJlzLhRDSfNQ1ZgRoPGGEKiOEEEJII0RhhBBCCCFORWGEEEIIIU5FYYQQQgghTiUMI8JZfxRGCCGEEOIQfBjx8vISrX5NYYQQQgghDsGHEWEXDUBhhBBCCCEOQmGEEEIIacbUajXee+89/PDDD075fK1Wy4JGUwgjtOgZIYQQYqGlS5finXfeAaDbkTw2Ntahn69UKsHv5iJcfRVonGGEKiOEEEKIBUpLS/H555+zx6mpqQ5vg3Ap+KZQGaEwQgghhFhg3bp1ojDgjBu+qTVGAMDNzQ1yua7jo6yszKHtshaFEUIIIcRM1dXV+Pjjj0XPCYOBo9QWRiQSCauOUGWEEEIIaWK2bduG69evi55raJURABRGCCGEkKaI4zh88MEHNZ5viGGEX5GVwgghhBDShPzxxx/4888/AQAKhYI93xDDCF8ZUSqV0Gq1DmuXtSiMEEIIIWZYvXo1O543bx47bshhBGgcg1gpjBBCCCFmuHbtGjueM2cOO25oA1iBxje9l8IIIYQQYoaioiIAuht9UFAQe76hV0YojBBCCCFNRGFhIQDA399fFACcHUYMV2AFKIwQQgghTRJfGfHz84ObmxtcXFwAOD+MUGWEEEIIaQYqKyuhUqkA6MIIoL/hO2PMSG3LwQMURgghhJAmh6+KADXDiLMrI8LgYew5CiOEEEJIE2AsjPAVCWeGEQ8PD7YPjRCFEUIIIaSJqa0yUllZierqaoe2hw8jxrpoAAojhBBCSJNTWxgBHH/D59tDYYQQQghpJoRhxN/fH4D4hu/IQaxqtZp9XnBwsNFzKIwQQgghTQy/xgjg/MpIfn4+OxYuviZEYYQQQghpYmobwAo49oZ/584ddmxOGKG9aQghhJAmoCGNGbE0jFBlhBBCCGkCKIzYF4URQgghpA51hRFHDmA1J4y4uLjAzc0NAIURQgghpElobJURAPDy8gJAYYQQQghpEvgwIpFI2MDVhjyAFXDucvWWojBCCCGE1IGf2uvr6wupVHfrdFZlJC8vjx1TGCGEEEKaCb4ywnfRAA2jm8bUomeAc5ertxSFEUIIIaQWHMfVGUacMYBVLpebXA4eaFwzaiiMEEIIIbWoqKhAVVUVgIZVGQkKCoJEIjF5HoURQgghpIkwNpMGcP4A1trGiwAURgghhJAmw1QY8fT0ZJUJR93sy8vLUVFRAYDCCCGEENJsGNuxF9BN83X0Wh7mTusFKIwQQgghTYaxHXt5/A3fUQNYzZ3WC1AYIYQQQpoMU900gOPX8qDKCCGEEOIEycnJ+Oqrr5y2VkZtYYQfxFpWVgaO4+zeFkvCiPD13Nxcu7XJFuTObgAhhBBiyu7duzFz5kwAQEhICCZOnOjwNphTGeE4Dkqlko0hsRdzFzwDgPDwcHZ88+ZNu7XJFiyujMydOxf9+vXDwIEDMXDgQMyfP5+9lpSUhGHDhmHIkCFYtWqVKCVevHgR06ZNQ//+/TF37lzcunXLNt+AEEJIk7Vu3Tp2fOXKFae0wZwwAjimK8SSykiTDiMAsHjxYhw+fBiHDx/GJ598AgA4cuQINm3ahKSkJGzcuBFHjx7Fjh07AABqtRoLFizAtGnTcODAAXTr1g1Lliyx3bcghBDS5BQXF+Onn35ij5017sHcMOKIQaxNNYzYrJtm9+7dmDBhAiIjIwEAM2fOxK5duzB+/HicPn0aLi4uGD9+PABgzpw5GDp0KG7cuIGIiIga76VWq6FWq8UNlcvh6upqq+Y2aFqtVvT/pHZ0vSxD18t8dK0sY+vrtXnzZqhUKva4tLTUKX8Wwtk0vr6+ojYIw0hxcbFF7bPmegln0wQEBNT6s66urggICEBBQQFu3rzptL/H/MaCtbEqjKxcuRIrV65E+/bt8cILL6Bdu3ZIT09HfHw8O6dt27ZITU0FAKSlpaFdu3bsNXd3d0RGRiItLc1oGElMTMSaNWtEz02ePBlTpkyxprmNVlZWlrOb0KjQ9bIMXS/z0bWyjK2uV2JioujxrVu3kJGRYZP3tkROTg47LikpEbVBeIO/du1aneM4jLHkemVnZ7Pj8vLyOq9HUFAQCgoKcOPGDVy/fr3W5ePtJSYmps5zLA4j8+fPR+vWrSGVSvHjjz9i/vz52Lx5M8rLy+Hp6cnO8/T0ZKvEVVRUiF7jXy8vLzf6GQkJCZgxY4a4oc2sMpKVlYWoqCizEmVzR9fLMnS9zEfXyjK2vF63bt3CsWPHajwfHR1dr/e1RmVlJQDdb/idOnUS3dD53gAA8PDwsKh91lyvsrIyAIBCoUBsbGyd50dHR+PKlStQqVTw8fFBQECA2e1zJIvDSOfOndnxrFmzsHPnTvz111/w8PCAUqlkrymVSigUCgC6iyZ8jX/dw8PD6Ge4uro2m+BRG6lUSv8AWoCul2XoepmPrpVlbHG9Nm3aVKNboayszCl/DsIde2Uymeg14f40SqXSqvZZcr2E+9KY8zPC3oecnJw6x5k4S73/VPmLERMTg2vXrrHnU1NT0aZNGwBA69atRa9VVlYiOzsbrVu3ru/HE0IIaYKSk5NrPOfsAayGg1cBxw5g5TjO7E3yeI1lEKtFYaS0tBTHjx+HWq1GVVUVkpOTUVJSgs6dO2PkyJHYunUrsrOzkZ+fj+TkZIwcORIA0LNnT6hUKuzYsQNqtRrr1q1Dx44djY4XIYQQ0rxduXIFp06dAgDcc889rFLOd1E4EsdxtYYRR+7cW1xcDI1GA6CZh5Hq6mp8/vnnGDZsGOLj43H48GGsWrUKXl5eGDBgACZNmoRZs2Zh0qRJ6NOnD8aNGwdA1+2yYsUKrF+/HoMHD8bZs2exbNkyu3whQgghjduWLVvY8YwZMxy+5LqQUqlkAaCuyoi922fJtF5eYwkjFo0Z8ff3x3fffWfy9YSEBCQkJBh9LS4uDhs2bLCsdYQQQpodfiYmAAwdOhSffvop8vPznVIZMbVjL89ZYcTcWTuNJYzQiCxCCCENinAfldDQULbEujMqI7UteAY4dsyIJTv28iiMEEIIIVbgw4hEIkFgYCC74VdUVLAuE0cRLnjWGLtpQkND2VRkCiOEEEKImfgwEhgYCLlcLtp8ztFdNXVVRhw5gNWaMOLi4oKQkBAAwI0bN+zSLlugMEIIIaRB4cMIfxMVVh8aWhhp6JURQN9Vc+vWrQa7tQGFEUIIIQ2GUqlki2TyYURYGXH0uJG6wohcLoe7uzuAhh9GNBqNaNxJQ0JhhBBCSIMhvFkaq4w0tDAC6Ntn7wGs9Q0jQMMdN0JhhBBCSIMhnEnDT19tyGNGADhsHRRhGAkMDDT75yiMEEIIIRYQhpGGVhkxts4IoB/Eau+28VUjHx8fi/ZvozBCCCGEWKCuMNKQKyNVVVVQqVR2awtfGTF3wTMehRFCCCHEAsbGjDhzAGtd64wAjqncVFdXs7ZYuvMuhRFCCCHEAg21MiKXy+Hh4WH0HEeswpqfn8+O6xNGGupaIxRGCCGENBjGwogzKyN8CPD392crmRpyRGXkp59+YsctW7a06GeDg4Mhk8kAUGWEEEIIqVNDqoxwHIecnBwAQFhYmMnz7L0KK8dx+Pjjj9nj2bNnW/TzMpmMtZ/CCCGEkAZJrVbjxx9/xPDhw9G1a1ecPXvWaW3hw4iLiwskch98sY3DvK+7AV0PAS4hDq2MFBYWQq1WA9Dt8cK7eYfDsm85dJ2txYT/aOHpad8wcvDgQVy4cAEA0LdvX9x3331Gz7t+i8N/1mgR95gWs9/RguM49hrfVZObm4uqqiqbt7G+5M5uACGEEOfQaDR499138emnn4oqEl988QXWrFnjlDbl5uYCMi+4dvwUEQ8DygoOgCfgOwAInozS0gKHtYWvigC6ykjmbQ4vfMphxx8Av1/fX2lAWP8O7Dx7hBFhVeS5556r8fo/mbp27fkT4PPHpevAgkeATq10j/kwwnEcbt++jcjISJu3sz6oMkIIIc3U7t27sWTJElEQAXR7mDgDx3G6toT/C0rfx6CsMDjBJcyh3TTC6xAaGoqXv+Cw9X/6IMKrkugHlNp6AOu1a9fYeJHIyEhMnDixxjnPfMjhlxP6IMK7pR/z2uBn1FAYIYSQZurSpUvsOD4+nh0LV/p0pKKiIlRXVwMendhzI3oLTnAJcmg3jbAyEhoaikvXdcdyGTCsl/68aokvO7Z1+z799FPW3fJ///d/cHFxqXHOpQzd/3u4A/d30z9/p0h/TGGEEEJIg5SVlcWOX3/9dbbCqLPCCKvQuOm7ED6eL5jB4hLk0MqIYTdN1t3mtQoFnp+sb1c19GFEuC5JfZWWliIxMREAoFAo8OSTT9Y4R6XmcPtuz1XXNsDjI/XtulOsP4/CCCGEkAYpOzubHUdFRbH1K5weRlx1YSTAB2gZIjjBJdChlRFhN423XwRKdJsJIzIECNLnD1QJwohhl1d9HD9+nH3fRx55xOh+NDcFf1RRIUCQn/6xMIwIZwM5qxuuNhRGCCGkmeIrI1KpFKGhoWyZ8eLiYqfMuNDdyCWsMhIZDLi7SeCluHuCEysjcItgh1EhQLCf/qWKak92bMswkpGRwY579epl9JwswcdFBgPBgpB0p1g/iEQYZGxZvbEVCiOEENJM8ZWR8PBwyOVy0cqewhU/HSUvLw9wCQGkuk3gou5WRVgVQu7YMSPCCkIlpy/RRAaLKyNlKnd2bMswkpmZyY5NLXQmDCNRIRKTlZGAgAB2XFDguBlJ5qIwQgghzZBKpWI3Tn6apzCMOKOrJjc3VzReJPLufnDsBusSiNIypWj9DHviKyMKhQIFSgV7PipEAm8PwOXu4hgFpVL4+urSiaPDSLZ+K58aIUkYRoQ7DlMYIYQQ0iAI9yiJiooCIA4jwg3rHEUXRqL07QrRDcZkN1iJDJzUBxUVhnN+7UO4+mq2qAIBSCQS1q47RfrVYu3VTWO6MqIPZlEhEIUkYRjx9fVly9lTGCGEENIgCGfSNKzKiH5sBquMCH7bh0uwQ7pqVCoVu2mHhobWqEAI25VXDATfDSPFxcVQqVQ2aQNfGfHz8xMtOS9k2C5hSMor0r8mk8nYrsMURgghhDQIhjNpgAYSRlyFlRHd/4vDiGMGsd6+fZsdh4aGGozNELdLpQYCg/WVC1tUlbRaLQuMtW2Mx7dLJgPCAsXtulMMUZcWP26EBrASQghpEBpuZUQwZoTd9AVrjThoEKtw8GpYWBirQLi76qYcA+JptF5+0ezYFmHk9u3bbEZTbWGEb1dYACCTibu1VGqIVrEVhhGtVlvvNtoShRFCCGmGjFVG+Km9QAMJI0a7aRxTGTFcfZWvQPDjRQzbpfDVBwZbjBsxZ/CqSs0ht1DfLl5dM2o4jkNxseCFBoDCCCGENEMNrTJSXV2tm07spl/wzMO95k3fUQufCcOIX2BLlJbrjiP1eU3ULldP/QqnjgojNwR/RJHCMGJiRk1Dnt5LYYQQQpohvjIik8nY6pzODCO6z5MArroBrMLf9IULjDmqMiLsppEq9F0w4nbpu49kbvoXbBFGzJtJoz+OEoQk4fVqLNN7KYwQQkgzxFdGwsPDIZPJAOimf/LHjp7am5uba3TBM0Dc7eCoMSPCyojWRb+UuqkKBCfXr3Bq68pIdHS00XOyDRY807fL+P40VBkhhBDSYFRWVrKwwXfRAHenhTppf5q8vDzRGiOmukOcMWakktM3RnzT159fDT927KhuGtFS8Ka6aYr0x8Iw0tBm1FAYIYSQZsbYgmc8Z4URUwueAUCAt+BEB40Z4btpJBIJiiv1a3yYCkmVWi92bMswIuxGM2S44Jmxdgn3p6HKCCGEkAZDOJNGWBkB9GGkoqIC5eXlDmuTqQXPAEAul8BbcXfjPgctesZXRoKDg3Hzjj4Ymbrpl1a4QSrV3VJtGUYiIyNZ15khYwuxGbZLuPAZhRFCCCENhnAmjWFlxFnTe2tWRsSv+3tpdAcO6KbhOI6FEcMFz4Q3/UDBTT+/RN/FVd/xNkqlkm1UaO6CZ6H6nEGzaQghhDR85lRGACeEEdeaa4zwArzvdjfI/VBcYt+KTWFhIdRqNQDxUvAKN/2CZ4Bu6rHH3Q177xSL96epz2Z+5gxeBfSVkfBA/YJngDgkURghhBDSINVWGXFWGLlz547R1Vd5wmm0BaUS2JN4wbMwVoHg934REi69zoeRiooKKJVKqz/fnMGrlSqOdcEYVpEMQxLP1NTe3377DUePHhWFVEejMEIIIc2MsQXPeM7aubegoICFkUAfDgo38U0/JEA/bqKw1L63LuEaIwHB0Si7u6S64U0f0IeR/BIgOLgFe74+40YsXvAsuObrwpDEE4YR4WyaWbNmoX///rj33nuta7ANUBghhJBmRrjgWWhoqOg1Z1VG8guK9AuetahZ+QgLkrPj4gpXu7ZFWBlx9W7Djo3d9PkFxjQawCdAX2WydxgxtnGfsXbllwBara7LyM3NDZ6engD0lRG1Ws2+b23jU+yNwgghhDQzxhY84zktjJTIAKkLAOM3/RB//e2q1IFhRKrQ36Brq4wAgKeN9qcxJ4yIZ9LUDG98uzQaoFjQY8SPG+HDyI0bN9j4FsMuO0eiMEIIIc1IZWUlCxnGbj7OCiOF5Z7suK6bvlKtsGtbhN001TLh6qumb/oA4Oqln5pcnzBi8VLwdVwvYwufFRQUgOO4WscPORKFEUIIaUaM7dYr5IypvZWVlVCZWOWUJ7y5VlR71XjdloSVkQqtfpl34zd9wf407rYdM+Lv7w9vb2+j52SbWPBM3y79sbG1RtRqNcrLyymMEEIIcbzapvUCzqmMFBYWimfS1DIgEwBUWuM3aFsRVkaKK/SfZbRdfoIHcv21szaMaDQa9mdkzhojQM2ZR4D5+9NQGCGEEOJwdd18PDw8oFDoukEcFUZ0M2lML3gGiMOIVurP1gGxB74yolAokFPoYna7qqV+7NjamUi3b99GVZVutdlaw8jdt5fLgBb+NV8XhqTapvcK/z7QAFZCCCEOIdyXJiIiwug5tlpJ1FyFhYVsJg0ARATVPEdUgbDzKqx8GAkLC2NTaBVugL+RgoyoYqPRn2BtZcScwasAcOPuH02YwYJnxtplqjJSWFgo+jyqjBBCCHEIYbWjRYsWRs8RbpZXn5VEzVVQUAC46BNIi4Ca5/h6AhLcXRJeHmi3MKJSqdhMk9DQUHYjD/GvueAZIL7pl1S4ws3NDYB9w4hWyyG/RHds7FoZtqu2zfL4yohcLjf598ERKIwQQkgzwu95AgCBgYFGz+HDiEajQXFxsdFzbEkXRnQ3SalEA2+PmudIpRK4ye7OUXUJsttmeRcvXmTHrVrFoODuxwT6GD9feNPPN1gSvjbl5eVYvXo1Ll26JHo+PT2dHZsKI8VKQKs1v13mjBmJiIgwuSGfI1AYIYSQZkQYRoQ3JiFHD2ItLCwE5Lpg5OVeZbQCAQAeLvowYq/KyKlTp9hxXNe+0NwtxgSYuOkb7gPDh5G8vDxo+cRgxIsvvoh58+bhkUceEQWrv//+mx136NDB6M/mC8OFiXbxi54Bxqf2ArrBzHwVyJldNACFEUIIaVbMCSOOnt6rq4zowoifZ7XJ87zcKnUHMk/kFVi/90ttTp8+zY5bd7iPHZuqQLjIJfC7O9NYGEY0Go1oyXWh/Px8fPvttwCAkpISnDlzhr3GV2YkEgliY2ON/3yJ/thUu4QhxVRl5Ny5c+zYmYNXAQojhBBidxzH4YknnsB9992Hv/76y6lt4cOIt7c3XF2Nr2Tq6MpI3p0SQKa7o/t7mx6j4qPQz6DJuWOf2TR8GJFIJAiNimPPm7rpA8Y3ywNMd9UkJSWhsrKSPU5JSQEAaLVaVhlp3bo1m9VkSFgZMTck8UyFEaqMEEJIE3f+/HmsXbsWJ0+exCOPPMKmbjoDH0ZMjRcBHB9Gcgr01yPYz/RtyVdQNbl1x3QFxVpqtZqFxQ4dOqCiSh8GhN0xhviZPoWlQEBg7QufabVafPnll6Ln+DCSlZXFdvvt1KmTyc8TVUZ8jXdpAfqQJFz0TDi1Vzg+hcIIIYQ0cdeuXWPHFy5cwEcffeSUdmi1WjZGwNww4ojpvXmF+rEVLQLkJs8L8NKfl1tgejyGtS5cuMDWL+nZs6dBd0jdN30A8PLXd3cYu3b79u1Damqq6Dk+jAgHz8bFxcEUcyojgD4kFZUBVdW6ipOprjkKI4QQ0sQJ9xoBgDfeeAPXr193eDuKi4vZoMqGVBkpENz0Q4NMb4InmiFSYvI0qwnHi/Ts2VN806+tMiJ4zb2O/Wm++OILdiyX64LXpUuXoFKpRDNraq+M6LuyzG0Xf409PT3h4uJS41wKI4QQ0sQZBo+Kigr861//csgaHkLmTOsFHB9GipT6KaW1ddME++urEwUl9b99nT9/nlUlACNhRHjTN2PMCADIFaHs2DCMZGZmYteuXQB0OyZPnjwZAFBdXY0LFy5YEEb0x+a2ix83IpFIjFZHaAArIYQ0ccLKiK+v7g7x008/Yfv27Q5tR0MNIyUV+t/Ua/tNPzRQ34VTXG66O8ccZ8+eRffu3dGzZ0/89ttvAPTTeiUSCXr06GF+d4hg3IbEVT8TSbjHDQCsWbOGVaaeeuop9OrVi72WkpIi6qYxNZMGsKCbxoy1RgDdsvemum8chcIIIYTYGV8ZcXFxwVdffcWed/TYEXPDiPA1e4cRrVaLCrVgoGgtN9fwYH1oKS433Z1jjmPHjoHjOGi1WrzyyitQqVRs8Gr79u3h7e3NFjwDag9JwjU9hCvJCpfeB4Aff/wRgK575oknnkD37t3Za2fOnGGVkZiYGHh6epr8PPPbJdgsr0j/vGHwiIqKMrm2i6NYHUbOnz+Pe++9F9988w17LikpCcOGDcOQIUOwatUqUQny4sWLmDZtGvr374+5c+fWSIyEENJU8ZWRli1bYurUqWz6Z1pamkPbYW4YcXV1ZRUcew9gLSkpASfX3xxrCyNRYfqlWUsr3Or1ufxAXkDXPbNixQo2eJWvWFhTgais9mZjMoQ7JGs0GjZ7JS4uDuHh4aIw8tNPP7GF3GrrohG2Sy6D0dVqjbUrr5bKiLPHiwBWhhGtVouVK1eKLtiRI0ewadMmJCUlYePGjTh69Ch27NgBQDddasGCBZg2bRoOHDiAbt26YcmSJbb5BoQQ0oAVFRWxJdWjo6MhkUgQHh4OQLdDa22rdNqauWEE0C98Zu8wIlx9FTC9oigAdGqr7wIpqaxfGDFckGzp0qXsuGfPngD0YzNkMsDXy/R7iVY7LdZvQCgMI7m5uaiu1k1H5m/+fn5+7Fi4J02dYeRuuwJ8jO+XY6xdpqb3As4fLwIAVnW6bd26FZ07dxYtx7t7925MmDABkZGRAICZM2di165dGD9+PE6fPg0XFxeMHz8eADBnzhwMHToUN27cMLprpFqtrrE9tFwuN7lAT1PD/+PkyH+kGjO6Xpah62U+W1wr4VoO0dHR0Gq1CAsLQ0pKCqqrq5GbmytaKMuehGHE39+/1u8VEhKCa9euoaioCJWVlWb9+2vN9bpz5w7blwbQLXqm1Rof2OvjJYdEqwQn9URFtXe9/lyE1wIACwoA0KNHD2i1WlaBCPDWLVxnasCxsAJxu1AXNq5fv478/HyUlZXBw8NDNG4oMjISWq0WWq0WHTt2ZPvD8Dp27Fjrd+PbFehT+7UWtatAf10NwwjfHnuRSuuue1gcRoqKirB+/XokJSXhww8/ZM+np6cjPj6ePW7bti2bS52WloZ27dqx19zd3REZGYm0tDSjYSQxMRFr1qwRPTd58mRMmTLF0uY2aoZ/QUnt6HpZhq6X+epzrU6ePMmOfX19kZGRAW9v/Vbzp0+frvM3YVsRzupRq9U1phwLCccspKSkWLSjqyXX6++//wbkrdjjsqIMZNSy7Yyck6MKnqiW+CEtLc3qzd0Mx3PwJBIJAgMDkZGRgTvFUQCk8FFUISPjpsn3qqiQANBVF7JyKhDo58de+/PPPxETE4OzZ8+y5zw9Pdm1j4uLw6+//ip6P39/f5N/NqoqQFkZrXsft0pkZNw22S61Ug5Ad4/NuKlERoZu/I9hODAMS7YWExNT5zkWh5EvvvgC06dPF/3HBOh2IBT+5fX09ERFRQUA3TQ2w8E4np6eKC8vN/oZCQkJmDFjhrihzawykpWVhaioKLMSZXNH18sydL3MZ4trxf87CADdunVDdHS06JczQFcxcQRhxblz5861fq7wNVdXV7PaaM31OnHiBNuXxk2mRrs2tX+Op+sVFGkAyAPh4lqFqMhwsz7HkHA59tjYWFy+fBmAbvBqXFwc1FWA8u4poYEutX5/jgPcXHRBobRSgX4dOrApvBzHITo6GiqVip3fpUsXViUzFkSHDBkCLy/j/UI3BeOJw4Pda21XoL5XC0q1J6Kjdffh1q1bi87j/146k0Vh5PLly7h06RIWLlxY4zUPDw+2jC0AKJVKtq6+QqEQvca/7uFhfOSNq6trswketZFKpXSzsABdL8vQ9TJffa6V8DfOmJgYSKVSNmYE0I0bcdSfg3DQZlBQUK2fK+w6ys/Pt6iNllyvoqIiwY69akil7rWe76NQoagMgESKy9fyEN0y0ux2CfHXwtPTE0uXLsXUqVMBAPfeey+kUikKSzkAd1ct9am7qyHYT4vsPN3YjKh79ANCb968CalUKqrEtGzZkr2f4Uqr0dHR8PExPXBG2K4g39rb5e3Jwd2VQ6Va1y7+XMPxQtHR0U7/t8CiMHLmzBlkZGRg5MiRAICysjLIZDLcuHEDMTExuHbtGgYNGgQASE1NRZs2bQDoUtjmzZvZ+1RWViI7O7tGOiOEkKZGGEZatWoFAAgLC2PPOXJmIT9OQi6X13rDA8zb8M02bSpgY0Z8a9mxlxfkq0Xm3W6cy2kFiB9i3efyYSQgIACTJk3CU089hVOnTuHf//63rl2i/V/qfr8Qf+jCSDEQHqEPSPwgVmHXlXD2SosWLRAUFMSmUJs7eNWcdkkkEoT4c8i8DeQW6Z9viLNpLAojEydOxPDhw9njDz/8EOHh4Zg9ezbOnTuHd999F/Hx8VAoFEhOTmZJs2fPnlCpVNixYwdGjBiBdevWoWPHjkbHixBCSFPCj9OQyWTs3zxhZcQZYSQgIKDOdSX42TSAfcNIzp0KQKK7FQXUsmMvr0WADLhbZEjNLK39ZBM4jhOFEalUKlr/BTB/lVMeP3NFowF8A/RdHnwYEc6sEd77JBIJunfvjn379gEwf1qvrl11rw0S7Adk3tbN8tFqOUil4hVY/fz8agy7cAaL6jLu7u4ICgpi/3Nzc4NCoYC3tzcGDBiASZMmYdasWZg0aRL69OmDcePGAdB1u6xYsQLr16/H4MGDcfbsWSxbtswuX4gQQhoSvjISERHB9iIRVkZu3jQ9MNLWzNmxlyesjNhzem/OHf2OvUG1LAXPi2qhn9KbedP4uMO6lJeXs/EzplYeFe9LU/dNP0QwQcXNS18Z4Ssi/P8HBQWxIQy8Hj16sGNbVkYAIMRP9/9arX5/GuF3bghVEcDKqb28N954Q/Q4ISEBCQkJRs+Ni4vDhg0b6vNxhBDSqJSVlbEAwHfRAEBoqH7/EkdVRlQqFRu7Z04YcVRlJK9IsGNvYN23pFaR+skQN+/U3a1jjHDsjKkwIlrl1JzKiCAYaGRBkMvlqK6uRnZ2NjQaDQud/PIXQo8++ii++OIL+Pj4YOzYsbW33cqKDaDrqgny0wVNV1dXqNVqdOjQoe43cQAavUYIIXYiHC9iODuFDwSOCiOWLHgGOK4yIvxNPzy47oXMOsToSxDChbwsYU4YMXf1VV6IwSZ+fFdcdnY2bt++XWPBM6G4uDjcvn0b169fF+0LZLRdZm7ep2+X/pi/Xt7e3vj8888xbty4GkUFZ6EwQgghdiJc10NYGQH0XTW3bt1yyO69loYR4U3RnpWRojL9bahFQM2t7Q1Fh+tnYRYq6z7fGLPCiPCmb0Z3iGEFgq+A5OXl4dq1a+w1Y5URQDerx5xZpMLwVttqtfp26UNSrmDR2SeeeALbt2+vMZvHWSiMEEKInZiqjAD6QaxqtbrG0uT2YGkYcXFxYSt12rMyUlqpvwFbMgYCAMoq3a0KcsLrbbgaKc/yyoj+OK9IHDpOnDjBjus7RqO+7WqoKIwQQoidGJvWy3P0IFZLwwigHzdiz8qIUqVfV8TSMRAaaQBKSkpMnmuKeZUR/bGlISm3kBOFkWPHjrFjU5URc1naLlHFptD+FThrURghhBA7EXbTGFZGHL3WiDVhhB83UlpaKlqx1FZUKhWqoU8g5oQRdzcJXCR3V7V1CTa5rHttLA4jFoYkw8qIMIzYqjLipQBcXcyY5WPQroaKwgghhNgJXxmRSCQ1bkKNIYwIZ9TYo6umsLCQLQUPmPebPgB4uvFhJES0foe5LBnA6qkA3Fwtm9orHDMCADk5Oey43mHkbkgy91oZjmVpqCiMEEKInfCVkbCwMLi5iWeKODqMCG/AllZGAPuEkYKCAkCuDwPmVCAAwM/z7h47LgHIyLK8i8uSyoi5bfJUSKC4+0ecV2Q6dNRnsU+O49iUY3PbZVixaagojBBCiB1UVFTg9m3djqqG40UAx6/CWt/KiD3GjRQWFrIwIoEGvsb3hqvZLkFV4Np1ywf/1hVGOI5j63mYe9MH9NWR3ELjY0OCg4Ph7l773ju1KS7TrfBqSbs8FRJ4uOvb1VBRGCGEEDvIzMxkx8Z2RHVmN42paoAhh1RG7nbTeLhU1rlEPS88WL84Wnp2mXWfe5exa1GiBKrv3vTNmT7L46sQ+SVAcHBojc3nHD14lcePG6HKCCGENDO1TesFGtdsGsA+lRFdN41+x15zRYXql1PPzFFZ97nQLT5nbPd4Swev8oRLr5dUyER/xoDjp/XyhCFJo2mYM2oojBBCiB0IBy0aGyegUCjg66v79daRlREvLy+zFtcC7F8ZycsvBuS6TdrM2bGX1ypCHyBy8jUWf65wkzxj1ZgCKysQtc2oAepfGREtUW9JZeRu9xHHiYNWQ0JhhBBC7IAfLwLotok3xpGrsFqySR7P3pWRG7f104XN2bGX1yJAf+vKL7b8NiYMI8ZYXRkRzqgxMm7EtpUR87q0AMO1RurVBLuhMEIIIXYgDCPCCoMQP4i1vLwcpaWlRs+xBY7j2A3YkjBi78rI7Xx9NSTQ1/zbkWgVVpU724HXHGq1mm0YaN6+NJbc9PXn2qMyYulS8LzGsNYIhRFCCLEDYSWhrsoIYN+umuLiYmjuTsOwJIwIz7VHZSS3UN/F0iLA/E3khb/pwyXEojE3Zi0FX8+BooCuAmFYCan/GiOWbZLHM7U/TUNCYYQQ0qRwHIeKigpnN8OsyoijBrFaM3gVAORyOTvfHpUR0Y69IXXv2MsTdodYugqreQueWXfTF+8Dw9m+MmLlANbGsD8NhRFCSJPBcRyGDx8OHx8fbNq0yalt4SsJwg3nDDmqMmJtGAHsuz9NsVLGjiNCzF9/I0hYrbBHGLHBAFbDVViB+i14Zrt20WwaQgixq7S0NOzbtw/V1dVYsWKFU9vCV0ZCQkJMrp/RGMIIX9VRKpUoLy+36vP/85//YPTo0TWWbi8ShJFgP/NvR26uEni48quw2jmM1KMCIQwj9V3wDKDKCCGENArCro6TJ0+KukocSavVskqCqS4awHGrsNqiMgJY11Vz6dIlvPPOO/j555+xaNEi9nxaWhoKS/UhzZLf9AHA3+vueBPX2ven0Wg0SExMxC+//ALAsn1pLG2X4ayV8PBwuLi4ADC+Cq+l+JAkk8Hs1WqNtashojBCCGkyDG/o/A3I0QoLC9mAUVODV4HGVRkBrAsjaWlp7Hj79u1sJsu2bdvYgmeAZb/pA0CLgLtBRu6HzOwck+f997//xeOPP45Ro0bhzJkzFlVGpFLA19P8NincJPC6ux5bXpGui27p0qVo3bo1Xn31VfPfyAS+XQHeMHu1WqBx7E9DYYQQ0mQY3tB3797tlHaYs8YI0PAHsAL1X2tE+L2USiV27twJANi6datVO/bywoNd2HHGTdPdR3v27AGgG0+0bds2iyojAd6AVGr+TR/Q3/j5HXJfeeUVpKamYvz48Ra9T23tsjS4CUNSQ925l8IIIaTJMAwje/fuRVVVlcPbYc5MGgDw9vaGp6fuV29bVEbeeusttG/fnt3wedbs2Murb2Xkxo2bQIf/Aj1OA55dkZycjFu3buHo0aOAXD+YwdIbbFiQfrzJzTzTf8YnTpxgx3v37tVfC5kv/rOhNwY/p0VOvnhQJ9sZ18KABOjHZxSUANXVlg8WvXmHQ/95Woz8txbFZfqfV1dxKKuof7uoMkIIIXZmeEMvKSnR3fQczJw1RnjCVVjrQ61WY+nSpbh69SoeffRR0ftlZWWxY0dXRi6kS4CQGYBXd6DD99jz6wGsXbsWgARw0w3w9FToBqVa1C4//XFuIYyuYHv79m3RHkGnTp3C1atXdQ8Cx+LUNW/8fhZ49mP9zxaXcShR3j3FwoAkbJe1S69v2A8cvQD8cgJYtFrfrmxBDqxPuwpKgCorQpK9URghhDQZxm7oP//8s8PbYW5lBNAPYi0pKbF6tgqgq1pUV1ez93rxxRcBAPv372eVEm9vb9GgWXPUtzKSdVuwd4xnHDQt/oVly5YB4f8C3GMAAB1r7iNYd7sEC3lVcb4oLi6ucY6wKgLoAsuBAwd0D1z1XWRbDgE/H9PdoF/4TH+jjm1pTbv0x9ZUIW7k6T9/9U7g+EUOHMfh+U/0z1t3vfTH+TUvldNRGCGENBl8GJHL5Wz7dmeMGzF3zAhgu0GshkFhw4YN2Lx5MxISEthzb731lsXTS+tbGbldaPBbeMslUHsOAVq9w556/2nLqiKA4SqswUbH3Bw/frzGc/zAYriKQ+KzH3H4cT+HxLt/Xbw9gNdm169d1sxcyRMEBY4Dnv6Qw5pdwK67Bb4WAcDL0+rZriLL22VvFEYIIU0GfzOPjIxE7969AQAXL14UleodwZpuGqB+g1jv3LlT47kpU6awLprBgwfj2Weftfh961sZKSgxuHHKPIC4XYBMN6LyuUnA4Hssv7karsJq7NoJKyNyuXi5eVdPcYXoeg4w/U19cPr4XxJEh1rTLvH+NJYyDDDnrukCCW/NvyUI8qvf9WqI40YojBBCmgSVSsVmjYSFhWHkyJHsNUdXRyzpprFHZUQm0w3u5MdR+Pj4ICkpiVWLLBEQEMCmkVpaGamqqkKZSsEeSyVa3YFE146WwRV49ynLb6yAQWXEteb+NBqNBidPngSg6wobOnSo6HW5eyg7vnu5wA87GdMPSBgJq9S3AsEHBYlE9z9huxJGAmP6W3u9Gvb+NBRGCCFNQk6Ofq2JsLAwjBo1ij129LgRYRgRdnMYY48wsmDBArbYFgCsWrUKLVtaMQACumATFBQEwPIwcvv2bcAliD1+dpxgRCdXjR/fVEDhZt3NVTgGwthmeZcvX2Y7Iffu3Rvx8fGi1yWuuj8XqRR4ZYb++UBf4Ot/Syxax0PULkEFItewi8oMfFBo4Q88PU7/fMsWumqNtcTtsvpt7IbCCCGkSRDeyMPCwtC9e3dWlTA2dsCe+Jt2YGBgje4BQ7ZahVUYRu6//358/PHH8PDwwNNPP41Zs2ZZ/b6AvqspJycHWq3W7J+7efMm4KIPY4se80eXoCOARolp9/2JPnHW34KC/ACJ5O7N3jW0RhgRdtH07t0bw4cPF72ukelmFQX6AP95VIJhvYAAH+D7xRKEBlp/028huOnfyjd9njEcx7ExIyH+wDtPStAnDggNANa/JoGPp63a1fBm05i/ZzMhhDRghmFEIpGgU6dOyM3NRX5+PgoLC01uWGdLHMexykhd40UA+1RGgoOD8dBDD2HevHlWv59QVFQULly4ALVajby8PLO+F8CHEX1lJMgPOL/1fmi1WkilA+rVJhe5BCF+GtwulANuUbWGkT59+qBTp06IiIhg+9hUwQ+ArlvF3U2C31Zaf6MXihL0ymVZON63tBxQ3d1yJ9gP8POW4NiXzm+XI1BlhBDSJBiGEQBo27Ytey41NdUh7VAqlaio0K1O5cgwIhzAWlfXkKWio/VzSTMzM83+OWFlROGqhotcd2O1ZuyKMTFhd9/HNRQ3DMoQfBiRSqXo2bMnJBKJvjoiVUDDuQEw2AHYBgJ8dOumAECmhVsjCbtPQmycm1sK/ipmUhghhBD7MBZG2rVrx55ji13ZmSWDVwHAz88Pbm66G2N9ZtMIKyP8GA9bEY43MRVGOI7Dpk2bsH79ejZ99ubNm4Bc1xZ/z2qbtgkAokP1t7CsXH3Xg1KpxF9//QUA6Ny5M7y8dLvKsTAiqNaIBsLagEQiQcu7f+yZucYXYzNFOMsl2MYhycNdwoKXpSHJEaibhhDSJNRVGbl27ZpD2mHJGiOA7uYVHh6O9PR0m3TTeHh4wMPDw+r3MUYYRoxNky4rK0NCQgI2b94MAAgNDcXjjz+O7Bu3ARfdr/i2vukD4t/2bxe5geM4SCQSnDp1io1t4ad4A8DEiRMxceJEXLnphQt3n7NXu/7OAMordQuMBZn5GeLKiG26ZwzbdacYuHFHt1S9XG77z7AWVUYIIU1CQwkjlqwxwuPbW1BQAJVKZdXn8mHE1l00QO2VkbS0NPTr148FEQD49ddfAQAZN8vYc2GCje1s1q4Q/c20WhbO9p0xHLzKc3V1xZYtW7Di4yT2nL1DkiVVCOGCZ/Zsl0YD3BT0auUXc9BqnTuolcIIIaRJ4MOITCZjN+Q2bdqw151RGTGnmwYQjxsRTlE2l0ajYTdiR4aR69ev495772VdIrxjx44BALJvq9lz4fYII8KsJxjE+tMRJdDrMhDzniiM8ETdIVYsIFZnuwQhSTg+Y+1PHFpP1eLrncZv/PYcM6Jrl/5YGJIGPsvB+yEOfZ/RWtStZEsURgghTQIfRlq0aMEGSHp6erKps84YM2JpZQSwbhBrYWEh65awRxgJDw9n11QYRr744gsWgtq3b4/OnTuzc27cuIHcQv00YNG6IDYiDiMtWRg5fXsIoGgHRL4Md7+ONX5OHEbs2y7hTX/xNxzSbwELvuKg0dS86QvXJbHP9RKEpLvtqq7mcO2GrktJWQGr11epLwojhJBGT6PRsO4R4Y0d0HfV5OXlGd1MzdaE3TTWVEasGcRqOK3X1lxcXBAREQFAHEYuXbrEjvfs2YMxY8awx7///jtKKtzY4yBf29/kokMFD+6GEaVSiXJOP/vn2MWat7m8Iv1N39azaQzblXlb91kFJRxydLkNxWXAhfSaP2fvkCRul+7/028BVXfHFnewbl08m6AwQghp9HJzc1llwFQYARwzvdeaykh9Fz6z50waHt9Vk5eXx3YXvnz5MgBdBapVq1bo06cPO3/Lli2APJA9tsfN1c8LcHe5eyd1a4lbt27h9NnLgLv+rnr4fM0KxB17j80QZNCMu38d/jGYhHTkfM2fEy4fb+9umoy7IemyoF3W7FJsKxRGCCGNnrHBqzxHD2Kt75iR+oYRe1RGAPG4kaysLKhUKqSn636979ChAyQSiSiM/PLLL6LVV+1x05dIJAgLqNI9cG+JGzduYv9R8V3f2E3f3hWIiGD9vjJ8BeKfLPE5xkIS3y4XOeDjaft2Ges+EoaRDi2dN7uGwgghpNGrLYwI1xpxRBjhu2m8vLzMnmJb3zBizwXPeIaDWK9du8aqUbGxsQB0VZnWrVsDACorK+0eRgDod9aVuuP6jTL8eaFE9PrfGcCdIvGNXxhG7NFN4+oiQdjdohC76WeI23D4vH4DPB4/gDXE3z5jN0L8AVcXcbv+ydQ3giojhBBSD+ZWRhwxiNWSpeB5ja0ykpmZiX/++Yc97tChAzvu0aOH/occEEbaRrqy44zbNW/6APCHeLIPCyO+XrrgYA98FSKnAFCpOVEFAgBu3gEyBBOnOI5j7bLXtZJKJWxZeH6Wj7gyYp/PNQeFEUJIo1dbGHHk9F6VSoWioiIA5nfRAOIN9RriAFag5pLw/HgRQF8ZAYCePXvqf0i4L40dKhAAEBMuY8c5BS64WeRT45wjfxmvjNirTQAQLcii2Xk1x4wAwGFBSCoqA6p1C9faZSaNYbtKlEBxGcfaFR4EeHtQNw0hhFittjDi7e3NqhT2DiPCUGBJZUQqlbJ2N8XKiLuLFp4K+1YgACC/zANqWau7jzTs+SOCm35VNYeiu2ux2asCYdiu1BvANd3+fJDps5OoYmPvNUaMtevsVf1gXmd20QAURgghTUBtYQTQjxvJyclBWVlZjddtxZqZNDy+3Xl5eaiutmwfF0eHkYyMDFYZkUgkonE57dq1g4/P3erE3cqIXW/6wgKUewygaA8A8HfPZzfYU5eB8kpddSRfOJPGjpUR4cJnv6dwrOoRfy8gvxtIhGHE3oNqWbsEfy1/PamvGDmziwagMEIIaQKEYcRYCHDUjBpr1hjh8WGE4zhRqDEHP4DVxcVFHwRszNfXl713RkYGq4y0bNlSNFBXKpXeXfVUArjoRnGGBNjvViNa+MynHyDTtSU6RIUBXXVPV2uAP//WHTvnpq8/7tkBuEeXl3DpOlBYprs2osqIHVaFZe0ShCRhu2KdOJMGoDBCCGkC+DASFBQEV1fXGq87KozYojICWN5Vw1dGgoKC7LqCJl8dSU9PZwvICceL8Pr16wfI/QGJbhyMPW/6EcEAcPc3fK972PNd2rhiYFf9tTh8d4qvM8LImSv64w5REgzoon98+opbw2gXVUYIIcR6HMexm7exLhrA9mHkypUrWLBgAY4cOSJ6/syZM+y4PmHEkkGsHMfZdZM8IT6MCPcvEY4X4fXp00c0k8aeA0Vd5BL4KZS6BxL9La1fjwBWGQGAI3fX9RBP67VjcBP88Qun8MZGAwMEIenUVV0YsfeCZ3W2i8IIIYRYLz8/H1VVuoWvTIURW6818swzz2DFihUYNGgQ3n//fXAch88++wyffvopAN04im7duln0npaswpqbm4s///wTHMehtLQUarVuQzp7hxHhjBoeXxnhOA4nLgHLkv3RpXtfeAfqZzHZ8zd9AAj1V9d4rmsbV8SEga33cfSCbh8WR1Ug/L0BL0XN5ztEQRSSTrHKiD4ZOKoywlO4gU35dRYKI4SQRk144xbe0IWE03ttsdZISkoKAECr1WLhwoW4//778a9//Yu9/vbbb4sCkDnM7aa5c+cO7rnnHvTu3RsrV650yOBVnnAQK4+vjCz+hkO/eUDirz7Yn+KNpW9/pm+XHcdAAMZvsB1a6kLhwLs3/rIKIOUacKfYMTd9iURSo10RwYCXhwTBfhLWLfJXuhuUFY6bTaNwk9T43u2jdGuQOBOFEUJIoybs0jBVGfH19WU36vpWRsrKythOtTxhd81//vMfvPLKKxa/r7lh5M0338SNG7p5oh9//LFo0KwzwghfGXnoPv3NbP1+wNOvlb5dfnZtlmjhMwDwcFEi8G4XzOB79O3acshxlRGgZkgSdoUMvjsDukojwc6j4jDizHY5C4URQkijlp2dzY6joqJMnsePG+F3drVWVpZ+k5G4uDh4eXmxxy+88AKWLVtm1fuaE0auXbuGL7/8kj3Ozs7G1q1b2WN7bZLHMwwjXl5erN39u+hvcr+dBC5dF1Qg7DhmBAA6xIiX3W8ZXMmOJ96vX9vjh33isRl2v+kbdH10EPz1nDpEEN726ceyuLsa796xa7sojBBCSP0Iw0hkZKTJ84RdNdevX7f684RhZOzYsThx4gRmz56NVatW4cMPP7R6NktISAikUt0/yaYGsL7yyis11iBZs2YNO3Z0ZSQ2NpZ9X6lUgmlDdM9rtEDSHv159r7px4TJRI+7ttVXSkL8JXiwl+448zbw2ynHtatlC/Hfhdho/eP7uwERd7Pj3j+B63eXhrfXvjTidokfO3taL0BhhBDSyAnDQW1hJCYmhh3XJ4xkZurX9W7ZsiU6deqExMREzJ8/v143EZlMxmbgGKuMHDt2DJs3bwagCy6enrptXfkptoD9w0h4eDhkgiVEDWfSPPKg/rhYsLZckJ9dm4XoUPHjnp28RY9nPKj/c+Hb5e4KeLg7tl3CyohUKsG0obrjao1uTAtg/4Cka5f472kH0wVFh6EwQghp1MztpmnVqhU7tlVlpLbPswbf5XH79m1oNPrlzDmOw8svv8weL126FOPHj6/x8/YOI3K5HBEREeyx4RojXVoD7SNrzmxxdHdIx2jxzXb8AN2MEcM22b0CYdCuWIPJSI8Mq/kz9tyXhmfYrvYURgghpH74MOLm5obAwECT59kqjBhWRmyJDyMajUY0S+bw4cM4evQoAF0AeOKJJzBjxowaP2/vMAKIv7OxBc/G9RWPx5HLAD+vGqfZlK8X4C0YNmI4INPLQ4JxA8TPOaICIewO8XAHIg3+eLq1BdqFi8Obo9sVFaK7Ps5GYYQQ0qjxYSQyMrLW33SFYSQ9Pd3qz7NnGBG+nzAwCRdTe+GFFyCXyzFs2LAaA1YdEUZat27Njjt16lTj9bF9xGEkyNf+FQiJRILWd2d1u7sCMUYmVQm7agDH3PQjggFXF91xx+ia02clEmCsQXiz57ReXivB9enUyv6fZw6Lw8jbb7+N+Ph4DBo0CFOnTsX//vc/9lpSUhKGDRuGIUOGYNWqVaJV+i5evIhp06ahf//+mDt3rlU7UxJCGo5vvvkGXbp0wfr1653WhtLSUjZmorbxIoCuS4UfIGqLbhpvb2/4+tp2mohwpVjheiipqansmA8ALi4umDp1KnteIpEgICDApu0x5vnnn0fXrl3xf//3f0bDSESQRrTcuSNu+gDwRoIEsS2B956WQC6vGX6G3wsECLbtcUS7XOQSvPOkBB2jde0zZmzfctFje6/Jwn/Gfx4F4mKAV2c6vyoCAOAslJ6ezqlUKo7jOO7ChQvc/fffzxUWFnKHDx/mRo4cyWVlZXF5eXnclClTuG3btnEcx3EqlYobOXIkt23bNq6yspL77LPPuDlz5lj60c2GRqPh0tLSOI1G4+ymNAp0vSxji+ul1Wq5gIAADgDn4eHB3bhxw4YtNN+lS5c46DYm4WbMmFHn+S1btuQAcIGBgWa9v+G10mq1nJubGweAi4uLq1fbjdm5cyf7Pq+99hp7fsSIEez5mzdvsuf/+OMP9ry538me+Ov12VYNh4G6/w2e33D+u3z6A327nv/E+e3ir1ffp/XtStytdXaznEJuaXgRljolEgmqq6uRl5eH3bt3Y8KECey3k5kzZ2LXrl0YP348Tp8+DRcXFzbgas6cORg6dChu3LghGgzFU6vVbHljnlwuN7oBVlOk1WpF/09qR9fLMra4XoWFhWzhr/Lycrz22mv4+uuvbdI+Swi7TCIjI+v8Tq1atUJmZiby8/NRXFwMb2/vWs83vFa5ublQqVQAdJUWW/+dE3aBXL16lb0/Xxnx8PBASEgIe753797o1KkTLl26hG7dujn9vwH+8yfdr8Urq6UoLQe6tmk4/23OeghYvVO3J0uX1s5vF//5CSO1OHZRV7Xr0pqDVsvV9mONDl+RrI3FYQQAli9fjl27dkGlUqF///5o27Yt0tPTER8fz85p27Yt+w8oLS1NtDSyu7s7IiMjkZaWZjSMJCYmiubOA8DkyZMxZcoUa5rbaAlH7ZO60fWyTH2u18WLF0WPExMTMXnyZLRv376+zbLIuXPn2LFCoUBGRkat5wvHVBw9etToAExj+Gv1119/sef8/f3r/DxLyWQySCQScByHS5cuISMjAxqNho1xiYyMFAUwAPjyyy/x66+/YuTIkTZvj7XKS7Lw3QJXpFxzw4QBZcjIaBg31xYewLoX3ZFbJMOA9ko0kMuFoXFZ+OBJT3gptAhwrWgw7bIV4bR6U6wKI4sWLcK///1vnD59GqmpqZBIJCgvL2fz3gHA09MTFRW6idMVFRWi1/jXy8vFfWW8hISEGiPFm1tlJCsrS9THTUyj62UZW1wv4YBK/j0/+eQT7Nq1yxZNNFtlpX6lza5duxrdyE0oLi4OW7ZsAaCrwNZ1vuG1En7vTp061fnz1oiKikJmZiaysrIQHR2NjIwMthFgbGxsjc+Mjo7GgAEDjL2VwwmvV3S0FGMeAAD7j2OxxGPs8tl3tVpz8NerZcsovNCqef/bZVUYAXQJ/r777sP69esRFRUFDw8P0RLLSqUSCoVuTVuFQlFj+WWlUgkPD/ESvjxXV9dmEzxqI5VK6eZqAbpelqnP9TL2G/ju3btx6NAhDB48uL5NMxu/Rwugm4lS1/cR/oaWmZlp9vfnr5VwTZPo6Gi7/H1r27YtMjMzUVBQgKKiItHMn7Zt2zaKv+P036Jl6HrZYGqvRqNBdnY2YmJiRBtQpaamsuWXW7duLXqtsrIS2dnZov5RQkjjIZyNMnfuXHa8YMEC0Sw6ezN3KXhefdcaseeCZzxhl/a1a9dEM2mES9oT0pRYFEbKysqwZ88elJeXo7q6Gvv27cOpU6fQo0cPjBw5Elu3bkV2djby8/ORnJyMkSNHAgB69uwJlUqFHTt2QK1WY926dejYsaPR8SKEkIZPeCNfvHgxunTRzeU8deqUQ6ft8+HAxcXFrDU2hJURa9YasecaIzzh9F4KI6S5sLibZtu2bVi+fDk4jkNUVBTeeustdOjQAR06dMCkSZMwa9YsaLVajB8/HuPGjQOg63ZZsWIFli1bhvfffx+dOnWyemdLQojz8TdyV1dXREREYMiQIWxw59WrVxEeHu6QdggXPDOnzB0REQGZTAaNRlOvyohEIrHbL1MURkhzZFEY8fLywurVq02+npCQgISEBKOvxcXFYcOGDZa1jhDS4HAcx27k/LgJYdfC1atXMWjQILu3Q6lUorCwEIB5XTSAbiB8VFQUrl+/blUY4SsjLVq0gJubWx1nW8dUGJHJZHYZMEtIQ9C8R8wQQixWUFCAsjLd1qd8t4dwSu+VK1cc0g7h4FVzwwigHzdSWFgo2vG2Lmq1mnVB2auLBhBXP65evcrCSMuWLeHi4mK3zyXEmSiMEEIsIqwo8Dd2w8qII1g6eJUnHDdSV3VEpVKxc27evMkG59ozjCgUCvZ9UlJSUFJSAoC6aEjTRmGEEGIR4cBPPoxERUWx6fgNPYyYO6OmsLAQvXv3xpAhQ7Bo0SLR4FV7zaTh8V01wnVUKIyQpozCCCHEIsYqIzKZjN0sr1275pBltq2dZmtOGKmursa0adPYoNwVK1aIxsvZszICiMeN1PYcIU0FhRFCiEWEN3Bhlwc/bkSlUjlkaX57VkZefvll/Prrr6LnfvjhB3bsqMqIEFVGSFNGYYQQYhFj3TSA48eN2GLMiLG1RtauXYtVq1YB0K1fwq+hImTvyojwWvIojJCmjMIIIcQifDXB3d0dLVq0YM87K4zI5XKEhISY/XPh4eGQy3WrGhhWRm7evIl58+axx5999hm++eabGguqOaObhlasJk0ZhRFCiNkM1xiRSCTsNUdP7+XDSHh4OGQymdk/J5PJWJgwDCPHjx+HWq0GoFs36YknnkBwcDC++eYbdo6bm5tZq73Wh2EVpEWLFvDy8rLrZxLiTBRGCCFmu3PnDttt23BbcEdWRioqKnDnzh0A1o3f4LuXiouLUVRUxJ4XzpgZMmQIOx49ejTefPNNuLq64oUXXrD7pmaenp4ICwtjj6mLhjR1FEYIaUQ4jsPevXtx/vx5p3y+qfEigK5Cwe/Ebe8wYu2CZzxT40Zq23tmyZIlKCsrw7vvvmvx51lD2FVDYYQ0dRRGCGlE3nnnHTz00EPo27ev6IbsKMam9fIkEgm7gaalpaG6utpu7bB28CpPGEbS0tLYcV0b4TlyBVRhpYnCCGnqKIwQ0kj8888/ePPNNwEA5eXl+OOPPxzehtrCCKAfN1JdXW3V3i+1yc3NxapVqzBlyhTMnDmTPW9NGBHe3IVhxBEb4ZlLOAbH2OwaQpoSi3ftJYQ4HsdxmDdvHhtcCegWF3M0YZeG4ZgRoOa4kfou1MVxHA4dOoSvvvoKW7duRVVVVY1z4uLiLH5f4cwUY5WRsLAwuLi4OGTxNlNmzZqF5ORk+Pj4YPz48U5rByGOQGGEkEYgOTkZBw4cED3njDBSV2XEMIyMGDGiXp+3fPlyvPrqqzWe9/DwQM+ePTFu3DgMHTrU4vcVhhF+IzqVSoWcnBwA9p+6a47Q0FCnjQ0ixNEojBDSwBUWFuLFF1+s8bwzw4hCoTA6vVUYRmwxvXfTpk3sODg4GAkJCZg+fTo6d+7M1gqxRmBgILy9vVFaWsoqI8JxKA0hjBDSnFAYIaSBe/PNN5GXlwcAePjhh/HHH38gJyfHYRvS8YRrjLRq1Uq0xghPOM7BFu3jg0JUVBSuXr0KNze3er8noBsT0qZNG6SkpCAjIwPV1dV1Dl4lhNgPDWAlpIHbsWMHAN1iWx9//DEbh5GTk4OysjKHtSM7O5vtImtqNdDg4GD4+PgAqH8YKSwsRHFxMQBdyLFVEOHx36G6uhpZWVkURghxIgojhDRgt27dYoNG77vvPkRGRooGhfLjHRzh4sWL7LhTp05Gz5FIJKyrJiMjAyqVyurPEw4stcdS6IaDWCmMEOI8FEYIacCOHj3Kjvv16wdAvBiWI8eNXLp0iR3XNoOF76rRarWiQGEp4c8am7lTX4bTeymMEOI8FEYIacCEYaR///4AHL8hHU8YRkxVRgBx+/755x+rP084jZgqI4Q0bRRGCGnAhAub9e3bF4DzKiPCbpqOHTuaPC82NpYdX7582erPs3dlxHB6Lx9GPDw8EBAQYPPPI4SYRmGEkAaqoqICZ86cAaDr+ggKCgIg7l5wVBjhOI5VRqKjo2vdQVYYVP7++2+rP9PeY0ZatmzJNrwThpGWLVsanSlECLEfCiOENFCnT59mK47yXTQA4Ovry9b4cFQYuXnzJkpKSgDU3kUDAB06dGA38/qEEb6bxtvbG4GBgVa/jymurq6sO+bChQtsN2LqoiHE8SiMENJACbto+MGrPL6r5saNG+wmak/mjhcBdAui8auzXr58GRzHWfx5Go2GrWkSExNjt0oFX3ERLrNPYYQQx6MwQkgDZWzwKk84SNQR03vNmdYrxHfVlJaWWrW7cHZ2Ntv11x5dNDxj701hhBDHozBCSAPEcRwLI/7+/ujQoYPodUcPYjV3Wi+vvuNG7D2Thiccf8OjMEKI41EYIaQBunr1Ku7cuQNA10XDD7TkOTOM1DaTxtg51oQRe8+k4VFlhJCGgcIIIQ2QscXOhIRhxN5rjXAcx7ppIiMj2XLvtRFO761vGHF0N01UVJTdPo8QYhyFEUIaIOHgVcPxIoBjKyM5OTkoKioCYF4XDdB4ummMvXdkZKTdPo8QYhyFEUKMKCwsRL9+/dCtWzfk5OQ49LM5jsPvv/8OAJDJZLj33ntrnOPv78+mu9o7jFgyk4YXEBCAkJAQAOaFkW+++QZRUVH46KOPAIgrI/zMHHsICAiAn58fe9yiRQu4u7vb7fMIIcZRGCHEiE8++QTHjh3D+fPn8f333zv0s0+fPs0CxoABA+Dh4WH0PL46kpWVhYqKCru1x9KZNDy+OpKbm4uCggKT55WVleH5559HdnY2Xn75ZVy4cIGFkfDwcLuHA2F1hMaLEOIcFEYIMVBdXY01a9awx/XZX8UaycnJ7HjGjBkmzxN21dRnQ7q6WFMZAcRdNbUtC79p0yYolUoAus31/vWvfyE3NxeAfbtoeBRGCHE+CiOEGPj5559Fa2PYOoxoNBqoVCqTr23YsAEA4OLigkmTJpl8H+FaI/bsqrFFGKmtq2bdunWix3wXFWDfmTQ84fReCiOEOAeFEUIMfPXVV6LHV65csdl7Z2ZmIjIyEp6enujatSsef/xxfPfdd9BoNACAgwcPsjEqI0eOhL+/v8n3ElZG6ttGjUaDrVu34uzZs6LnhTNpwsPDReMr6mJOGLly5QqOHDkCQLdyqyFHVEaEYSQ6Otrun0cIqYnCCCECaWlp2Lt3r+i527dvo7i42Cbv/9NPPyEnJwcajQZ//fUXEhMT8dhjjyEhIQEcx+GHH35g59bWRQOIZ7acP3++Xu368ssv8fDDD6N3796iQCIc72FJVQQwL4wkJSWx4zfeeAM9evQQve6IMDJp0iR06tQJbdq0wdSpU+3+eYSQmiiMECKwZs0atpeKcOCkraoj/M6whr777ju8//772LJlCwDd5nCjR4+u9b06duwIuVwOAEhJSalXu06ePAkAqKqqwlNPPcUqNd988w07x9xpvbyIiAi2u6+xMKLRaPDtt98C0M0aeuyxx7BixQrROY7opvH398eFCxdw9epVhIaG2v3zCCE1URgh5C61Wo21a9cC0I3XePbZZ9lrtgoj2dnZ7Pjs2bOim/2iRYvYzrgTJ0402m0h5ObmxqoPly9fNjkOxRy3bt1ixydPnsTq1auRkpKCpUuXAgCkUilmzpxp0XtKJBK2+Nn169drzPj59ddfcfPmTQDAqFGjEBoaiqFDh2LEiBEAdH8G5qz2agsSicRum/ERQupGYYSQu7Zt24a8vDwAujAwcOBA9pqtBrFmZWWx43bt2mHOnDlYtGhRjfPq6qLhdevWDYBuBpBwoKmlDNdSeeWVVzBjxgxUVVUBABYuXIhevXpZ/L58mOA4rsY1TExMZMePP/44O/7uu+/w8ssvY+PGjQgKCrL4MwkhjQ+FEULuEg5cffrpp0Wb09mqMsKHEX9/f3h6egIA3nrrLcTHx7NzWrRogcGDB5v1fnwYAYBz585Z3S7DMFJSUsLCTdeuXfH6669b9b7CyoYwLCmVSuzYsQMAEBISgpEjR7LXAgMDsWLFCowfP96qzySEND4URgiBrpuDn1LaoUMHDBo0CDExMZDJZABsUxnRarVsyrBwyXGZTIYffvgBnTt3BgD8+9//ZmNB6mKLMFJVVcUqQu3bt2cruwK6rpLvvvsObm5uVr13ly5djLbv/PnzUKvVAIAxY8bAxcXFqvcnhDQNFEYIAbB69Wp2/PTTT0MikcDV1ZXN5rhy5Qob2GqtvLw8dgM23IwtICAAp0+fRmpqKl588UWz39MWYYRfYAzQVTI++OAD9vjNN99E165drXpfAOjevTs7Fg6yFbbVcAYNIaT5Me/XL0KasIqKCjbF1N3dHY899hh7rX379rh69SrKy8tx8+ZNREREWP05wvEixnaGFYYfc4WEhCAsLAy3bt1CSkoKOI6zeCCmsIsmLCwMs2fPho+PD1QqFaZNm2bRexmKiIhAUFAQ7ty5g7Nnz7L2CcOIMFARQponqoyQZm/jxo1sV9opU6YgICCAvda+fXt2XN+uGuFMGlvuDMvfzAsLC0WfYS7hTBp+auvEiRMxffr0es8wkUgkrPKRl5fHZs8Iw0h9Ki+EkKaBwghp9gwHrgrZchBrXZURa9W3q0ZYGbHHOhvCbpizZ89Cq9WyRdpiYmLg4+Nj888khDQuFEZIs3bu3DkcP34cgO439D59+oheb0yVEaD+YSQsLMwmbRIShpGUlBSkpqayjfGoi4YQAtCYEdLMCTdp4weuCjWHyoixbhpbEg5iPXv2LFsIzfA1QkjzRZUR0qydOXOGHRsbrBkWFsaWNLdlGLFlZaR9+/Zs6q01y8Lbu5umXbt28PDwAKALIzR4lRBiiMIIadauXbsGQLfQmLEdciUSCeuqSU9PZ1NzrcF30wQEBLCbsy3I5XK2nse1a9dYF4i5hGGkRYsWNmsXTyaTsdCRnp7O1nMBKIwQQnQojJBmq6ysjN2I27VrZ/I8PoxoNBqkpaVZ9VnCBc9s2UXD42/qHMfhr7/+suhn+W6agIAAqxc3q4tw3MiRI0cAAD4+PmjVqpVdPo8Q0rhQGCHNVmpqKjtu27atyfNsMYj19u3bbJ8XW3bR8KwdN8JxHAtk9tyx1tjCZl27dqXN6QghACiMkGbs6tWr7Li2MGKLQazCmTT2rIwAYNNmzVFaWsp207XHTBqesYGqNHiVEMKjMEKaLX68CGB+ZcTanXHtNZOGFxcXx47//vtvs3/O3jNpeJ07d2b7/PBovAghhEdhhDRb5oaRuLg4uLq6AgAOHTpk1WfZayYNLzAwEEFBQQAsCyP2nknDc3d3R6dOnUTPURghhPAojJBmy9wwolAo0K9fPwC62SDWDGK1dzcNoNvkDtAFDH55e0PV1dU4dOgQ8vPzAYgrI/bspgHE40akUinbpZgQQiiMkGaLDyPBwcHw9fWt9dyhQ4ey4/3791v8WfaujAD6MAIAly9frvH64cOHcc8992DIkCEYN24cKioqHFYZAcRhpH379lAoFHb9PEJI42FRGFGr1Vi6dClGjRqFQYMGYfbs2aLBcklJSRg2bBiGDBmCVatWibZcv3jxIqZNm4b+/ftj7ty5ot/ICHG08vJyNtW2tqoIb9iwYey4MYQRYVdNQUEBZs+ejfvvv59N+7158yb279/v0DAiHLBKXTSEECGLwohGo0F4eDjWrl2LgwcPYvr06XjhhRdQXl6OI0eOYNOmTUhKSsLGjRtx9OhR7NixA4AuxCxYsADTpk3DgQMH0K1bNyxZssQuX4g0Dmq1Grdv32b/q89iYtYwd1ovr1evXmxDtwMHDkCr1Vr0eXw3TVBQkN0qAqbCyOzZs/Htt9/WOH/Hjh0O7abp378/+vbtCy8vrxobEhJCmjeL9qZRKBR48skn2eP4+Hh89NFHyMjIwO7duzFhwgT2W9/MmTOxa9cujB8/HqdPn4aLiwvGjx8PAJgzZw6GDh2KGzduICIiosbnqNXqGjcnuVzOBhE2dfyNztIbXmNx8eJFPPDAAygoKGDP+fj4YP/+/bjnnnssfj9rrpdwim7btm3r/FmpVIpBgwZh165dyMvLw7lz58z+7V6j0bAqTGRkpN3+XIVTkC9dugStVouSkhL8/PPPAABvb2+8+eabePXVV1FRUYGffvqJrdwKACEhIXb9OyeTyXD48GGo1Wq4ubk1ir/fTf2/RVuj62WZ5nK9pNK66x712igvMzMTJSUliIqKQnp6OuLj49lrbdu2Zb99pqWliVa4dHd3R2RkJNLS0oyGkcTERKxZs0b03OTJkzFlypT6NLfREZb2m5KVK1eKgggAlJSU4M0338SqVausfl9LrtepU6fYsa+vLzIyMur8mR49emDXrl0AgM2bN8PPz6/W84uLi1FYWIiCggJoNBoAulkv5nyWNbRaLTw8PFBeXo4LFy4gIyMDhw8fZv/QjR8/HuPGjcMvv/yCX3/9Fbm5uTh8+DAAwNXVFSUlJSgtLbVL2xq7pvrfor3Q9bJMU79eMTExdZ5jdRiprKzEkiVLMHv2bHh5eaG8vByenp7sdU9PT7aYUkVFheg1/vXy8nKj752QkIAZM2aIG9rMKiNZWVmIiooyK1E2NsLlykePHo2DBw9CqVTi4MGDaNGiBdzd3S16P2uuFz+bBAD69OmD6OjoOn9m8uTJePPNNwHoNtgz9jMajQZ79+7F6tWrsXv37hq/8bRr186sz7JWbGwszpw5g6ysLLRo0ULUHRUfH4/o6GhMmTIFv/76KwCwCmRoaCgtzW5EU/9v0dboelmGrpeeVWGkuroaixYtQlRUFOu28fDwEG3QpVQqWd+4QqGosXmXUqk0uVmYq6trswketZFKpU3uL6hSqWQ7y8bFxWHXrl1ISEhAUlISysrKsG/fPowdO9aq9za8XhUVFaioqEBAQECNc4XTetu3b2/WdY6Li0NYWBhu3bqFw4cPo7q6WvT39Pjx45g+fTquX79u8j26d+9u1z/Tjh074syZM9BqtUhNTcWxY8fYawMGDIBUKsWYMWMglUpFQSk0NLTJ/V2zpab436I90fWyDF0vK6b2arVaLFmyBBKJBG+88QbbWyImJkb0D3xqairatGkDAGjdurXotcrKSmRnZ6N169b1bT9pZP7880/WZcGv3TFp0iT2+qZNm2zyOSUlJbjnnnvQokULNmZCiP/7GBAQYHS3XmMkEgmGDBkCQBeq/vzzT9Hrr7/+uiiIRERE4JFHHsHMmTMxc+ZMLFu2DLNmzbLyG5lHOIj1woULOH78OAAgPDwcLVu2BKAbRNurVy/Rz9l7Jg0hhNTG4jDyzjvvID8/H8uXL4dcri+sjBw5Elu3bkV2djby8/ORnJyMkSNHAgB69uwJlUqFHTt2QK1WY926dejYsaPR8SKkaTt69Cg75sPIsGHD2DofO3fuhEqlqvfnbNiwAZcvX0Z1dTVeffVV0TTziooK1kdb2269xgin+O7bt48dazQaVoUICAjAjh07cP36dSQnJ+O7777Dd999h8WLF1vcBWUpYRjZtGkTGwPSv39/0aZ0wu8B2H8mDSGE1MaiMHLr1i1s374dFy9exLBhwzBw4EAMHDgQZ8+exYABAzBp0iTMmjULkyZNQp8+fTBu3DgAum6XFStWYP369Rg8eDDOnj2LZcuW2eULkYZNGEb69+8PAHBzc2NdMyUlJfjtt9/q/Tnff/89Oz5//ryouyI9PZ0dmzOtV8jU4meXL19mN/7Bgwdj7NixorDuKMIwwg+2BfTBj/fggw+KHlNlhBDiTBb9axkWFiaahWAoISEBCQkJRl+Li4vDhg0bLGsdaVK0Wi0LI8HBwaIgMHnyZHz33XcAdDNVRo8ebfXn8LNIhL744gt2QzZ3t15joqKi0L59e1y5cgXHjx9HWVkZvLy8WHcIoBsQ6yxt27aFXC5HdXU1qqur2fN88ONFR0cjLi4OFy9eBEBhhBDiXM17xAxxqMuXL7M9U/r16yfqNnjwwQfh7e0NAKw7z1rr16+v8dymTZuQl5cHwPw9aUzhqyPV1dX43//+BwCiMNK7d2+L39NWXFxcanwnhUIhWv2Ux6/7A5g39Y4QQuyFwghxmD/++IMdG3YbuLu7s66aoqIiq5ZcBwCO40RdNPzgWH6sEmC7MALou2r4MCKTydCzZ0/LG25Dwq4aALj33nvh4uJS47yXXnoJkyZNwpNPPlljDAkhhDgShRHiMMbGiwgJZ9Vs3rzZqs84f/4863ro168fli9fzl776quvUFxcjDNnzrDnLB3ACujGhPBVnX379qGkpIR9Zrdu3UxOWXeU2NhY0WNj1xrQLfa2adMmfP3115DJZI5oGiGEGEVhhDgMXxlxdXU1Wj2Ij4+Hm5sbANQY82Gu5ORkdjxjxgy0adOGrQx8/fp1tGjRgk3J9fPzM7oGSV0CAgLYsvXnz5/Hzz//zGbrOLOLhmdYGTGsQhFCSENDYYQ4RF5eHhs42rNnT6NTXBUKBbvJX716VbRKqjm0Wi1++OEHALoVe/ntA+bNm8fOEU4bnjdvnmjciiWE3RrvvvsuO3bm4FWeYRjp27evk1pCCCHmoTBC6u3ChQv473//i8rKSpPnCKfW1vabuvBmfuLECYvasWnTJrYhXXx8PIKCggAAo0aNYgM4FQoFnnjiCZw9exZvv/22Re8vJBw3IlzeviGEkdjYWBayYmNjERgY6OQWEUJI7Ry/EAJpUkpLSzFw4EAUFRXhwoULeP/992ucw3EckpKS2GNTYxgAcTfHiRMn2MJ5dVGpVPjPf/7DHj/77LPsWCaTYf/+/UhJScE999xT5wZ35hgwYADc3NxElRZ/f3+rxqDYmpeXF/79739j7dq1WLJkibObQwghdaLKCKmXlJQUNl3322+/ZUu9C7399tvYtm0bAMDHxwcPPPCAyfcTVhaE02XrkpyczBYzGzp0qGgHaUA3zmPIkCE2CSKArsJiWOHp3bu31d0+tvbee+8hLy8PjzzyiLObQgghdaIwQurl8uXL7Fi4JT1v27Zt7LdziUSC77//vta9YFq2bMkW4Dpx4kSNXW+NKSoqwmeffcY+Y8WKFQ4JBcKuGqBhdNEINZRgRAghdaEwQurl77//Fj0WTsk9f/48Hn30Ufb4nXfewZgxY2p9P4lEwm7qxcXF+Oeff+psw7vvvsuqMzNnzkSPHj3MbX69GK7N0dDCCCGENBYURpq427dvY+/evex/J0+eNKvaYC7DMLJlyxZotVpotVo8+uijUCqVAHTTbBcuXGjWexqOG6nNP//8g08//RSAbo8bR+551LNnT/j4+LDH9913n8M+mxBCmhIKI01YZmYmWrdujYceeoj977777sM777xjs88wDCM5OTn4448/sH79epw/fx6AbiGwNWvWmN1tYO64kdTUVAwdOpQNIp0/fz6io6Mt/QpWk8vleOqppwAAEydOrLX7iRBCiGkURpqw7du3o7y8vMbzK1euREVFRb3fX6lUIiMjA4B4fMIPP/wgmsXx4YcfQqFQmP2+vXr1glSq+6tpKoykpaVh8ODBbCpvhw4d8Oqrr1r8HerrvffeQ0ZGhtUrxhJCCKEw0qQJl1//17/+xabUFhYW4scff6z3+wvHc4wfPx6urq4AdMuu8zNbHnzwwRoDPevi5eWFLl26ANCt4VFWViZ6PSsrC4MHD0ZWVhYAoHPnzvj+++9FXSaOIpFI0LJlSxosSggh9UBhpAnjw4inpydWrlyJDz74gL32xRdf1Pv9hV00vXv3rjGdFoDVXUL8uBGtVovTp0+LXlu2bBkyMzMBAJ06dcJvv/1GC3sRQkgjRmGkicrKymKVg969e0Mul6N3795spsnJkydx6tSpen2GMIx07NhRtNEdAEyePBm9evWy6r1rGzfC75Tr5uaG/fv3IyQkxKrPIIQQ0jBQGGmijO2QK5FI8Mwzz7Dnv/zyy3p9hmEYGTt2LNuqXiaT4a233rL6vYVhRLiU/I0bN5CWlgZAN3uFX5OEEEJI40VhpInid8gFxHvBPPLII2xsxfr161FYWGj1Z/BhxNXVFTExMfDz88Mbb7wBX19fvP/++2jfvr3V792hQwc2O+XQoUOoqqoCIN7N9/7777f6/QkhhDQcFEaaKL4yIlxEDNCNH5k9ezYAoKKiAt9++61V719VVcV24W3fvj3kct02R6+++iqKiorw4osv1qP1gFQqxUMPPQRAt8Lq//73PwDiMDJw4MB6fQYhhJCGgcJIE1RWVoaUlBQAQFxcXI39WIRdNWvXrrXqM9LS0lBdXQ2g5pb1tjJu3Dh2vGPHDgD6MCKVStG3b1+7fC4hhBDHojDSBJ08eZJtWGe4mRug21a+Z8+eAIALFy6gtLTU4s8wHC9iDyNGjGBjULZv346CggL89ddfAIAePXo4ZSovIYQQ26Mw0gQJx4vwg1cN8WEEAM6dO2fxZzgijPj4+GDIkCEAdLODPv/8c/YaddEQQkjTQWGkCRLOpDFWGQEg2kzu7NmzFn+GI8IIIO6qef/999kxhRFCCGk6KIw0MVqtlk2FDQkJQZs2bYyeZ6swIpFI6jVrpi5jx45lx8KVWCmMEEJI00FhxIb43Wq1Wi04jnNKG/7++28UFRUB0FVFTC1T3qVLF7b/i6VhJC0tDRcvXgQAxMTEWLTvjKUiIiJw7733ip6LjY1FcHCw3T6TEEKIY1EYsQGtVotp06ZBLpdDJpNBJpPBw8MDH374ocPbIlwgzFQXDQB4eHggNjYWAHDx4kWo1Wqz3j89PR2DBw9mG+05Yq0PYVeNoz6TEEKI41AYsYFDhw7hxx9/FFVDKisrsXjxYhQUFDi0LX/++Sc7Fq4vYsw999wDQLdmCF/pqM3169cxePBg0b4w7733Xj1aax7DMEJdNIQQ0rRQGLEB4cJhXbt2RevWrQHoAklSUpJD23Ly5EkAunU4+LBhiiXjRjIzMzF48GBkZGQA0A1aPXDggEP2hYmLi2PXFKAwQgghTQ2FkXpSKpXYvHkzAMDX1xcnTpzA7t272etffvkltFqtQ9pSUVGBCxcuANBVLTw9PWs939wwkpWVhQceeADXr18HoFuq/cCBA2jRokX9G20GiUSC119/He7u7njssccQHR3tkM8lhBDiGBRG6mnbtm1QKpUAgKlTp8Ld3R0dOnTA0KFDAQDXrl1ju8zWV3Z2NpKSktgAVUPnzp1jq6Kas1tu9+7d2bGpMJKdnY3BgwcjPT0dgG7p94MHDzp8g7rHHnsMpaWlVi9fTwghpOGiMFJPwpvjY489xo6FS65/8cUX9f4cjuMwevRoJCQkoE+fPkYDCd9FA6DGDBRj/P390apVKwBASkoKW7WVV1hYiMGDByM1NRUA0K5dOxw8eBBhYWHWf5F64Pe/IYQQ0rRQGKmH7OxsVvVo06aNaPbK2LFjER4eDgDYuXMnsrKy6vVZFy5cYCul/vPPP5g+fXqN8GBpGAH0XTVKpRLXrl0TvZaYmMiea9OmDQ4ePMi+EyGEEGIrFEbq4fvvv2czaB577DHRmh4uLi548sknAeim/q5Zs6Zen/XTTz+JHu/ZswcLFiwQPXfq1Cn22V27djXrfWsbN8K/HwCsX78eERERFrWZEEIIMQeFEStxHIf//ve/7PHMmTNrnPPkk09CJpMBAL7++ms2nsMau3btYsf8e65cuRKJiYkAgNLSUly+fBkA0K1bN7i5uZn1vrWFEb4S4+Ligm7dulnddkIIIaQ2FEasdPr0abYk+sCBA0VTT3kREREYM2YMAOD27ds4ceKEVZ+Vl5eH48ePA9BNcxVuGPd///d/uH37Nk6fPs2qNOYMXuWZCiOVlZX4559/AOhm5ri6ulrVdkIIIaQuFEaMuH79Ol5++WVs3brV5LLuycnJ7PjRRx81+V7CBbv27NljVXt++eUX1o7Ro0fjqaeewpw5cwDopvN+9NFHVo0XAYDw8HC2tPrZs2fZ51y8eJGNSaGqCCGEEHuiMGLE3Llz8eGHH+Lhhx/Ggw8+yCoEPI1Ggw0bNgAAXF1dMWnSJJPvFR8fz46tDSPCLprRo0cDAJYuXcqqFV988QV+++03do4lYUQikbBKyp07d9h35btoAAojhBBC7IvCiIG8vDzRuiD79+9Hly5d8NZbb7GqwcGDB5GTkwMAGDlyJPz9/U2+X1hYGLuZnzp1Crm5uRa1R61WY+/evQCAgIAA9O3bF4CuC2j27NkAdONF+DDi4eGBjh07WvQZgwcPZsf8d6cwQgghxFEojBjYuXMnWzGVHyhaVVWFJUuWYOPGjQCAH374gZ3/yCOP1PmeI0aMYMe//vqrRe05fPgwSktLAeiCD98mAFi4cKHoMaAbA2Lpehz8Am0AhRFCCCGOR2HEwLZt29jxvn37RNNnX3rpJdy5cwdbtmwBAHh7e7Nuk9o89NBD7NjSrhpjXTS81q1bY/r06aLnLOmi4XXv3p1Vdw4ePAiNRsPCSEREBIKCgix+T0IIIcRcFEYESkpKWHdHZGQk7r//fixfvhwjR44EANy4cQPx8fEoKSkBAEycOBEKhaLO9+3bty+8vb0BAHv37jV7rxq1Ws32vZHL5aLxJ7xFixaJHlsTRqRSKeuqKSoqwo4dO9gKr1QVIYQQYm8URgR2794NtVoNABg/fjykUikkEgk++eQTtm7HmTNn2PkzZsww631dXV1ZV8idO3dE71GbjRs34saNGwCAUaNGwc/Pr8Y5cXFxmDhxIgDdYFThKrCWEHbVfPTRR+yYwgghhBB7ozAisHXrVnbM3+AB3VLohqudtmjRQjTwsy7CcSO//PJLnedzHIeVK1eyxy+99JLJc7/66is89dRTWLduHdtrxlLCMHLkyBF2TGGEEEKIvVEYuauiogK7d+8GAAQGBmLgwIGi1xctWiTaun7atGkWDRS1dIrv0aNH2biN++67DwMGDDB5bnBwML766is2u8Ya7du3N7rcO4URQggh9kZh5K59+/ZBqVQC0C1UZhg0PDw88OWXX8LV1RVeXl54+umnLXr/6OhoNuX2+PHjKCgoEL2+fft2fPLJJ2w8yjfffMNee+mll0T73tiDRCLBkCFDRM8pFAq0a9fOrp9LCCGEUBgBoFKp8O6777LHwi4aoREjRuCff/7BP//8g9jYWIs/h++q0Wq1oo3vTp48iQkTJuC5555DbGws3n//fRw6dAiALsSYao+tCbtqAKBLly41pg4TQgghttbswwjHcXjmmWdw7NgxAEDLli0xbNgwk+e3atUK4eHhVn2WMFRs2rSJHQs33Lt16xZeeeUV9vj555+3eN0QaxlWRqiLhhBCiCM0+zDy8ccfs51vFQoFtm7davaOt5bq27cvCzK//voriouLodFoRMFEyNfXl+1B4whRUVGibhkKI4QQQhyhWYeRX375BS+//DJ7nJiYiJ49e9rt86RSKR5++GEAujVEdu3ahUOHDuH27dsAgAkTJmDnzp1sRsx//vMftj6JowwfPpwdW7L7LyGEEGItx9T/G6ArV65g2rRpbAGyJUuWYOrUqXb/3MmTJ+PTTz8FAGzevBkhISHstWnTpmHMmDF46KGHcObMGasWMKuvV199FdevX0enTp1w3333OfzzCSGEND/NNoyEhYXhgQcewM6dOzFhwgS88cYbDvncfv36ITQ0FDk5OdizZw88PDwA6GbrjBo1CoBuTxxhSHGk8PBw0eBaQgghxN6abTeNt7c3tm3bhlWrVuG///0vpFLHXAqZTMa6alQqFQoLCwEAY8eOhaenp0PaQAghhDQkzTaMALoxHPPnz4eXl5dDP3fSpEk1nps2bZpD20AIIYQ0FM06jDjLwIEDRd0wPj4+op19CSGEkObEojCyefNmzJgxA71798bq1atFr+3atQsjR47EoEGDsHTpUlRVVbHXsrOz8fjjj6N///6YMWMGrly5YpvWN1IymUy05siECRPsNp2YEEIIaegsCiNBQUGYO3dujcWxrl27hpUrV2LFihX4+eefcfv2bdFy5q+++ip69+6NAwcOYMKECfj3v/+N6upq23yDRurJJ5+ETCaDVCq1eGl5QgghpCmxKIw88MADGDRoUI21L/bs2YMhQ4YgLi4OXl5eePzxx/Hzzz8DAK5fv4709HQkJCTAzc0NkyZNglarRUpKis2+RGN0zz334O+//8bFixfRp08fZzeHEEIIcRqbTO1NS0sTrUnRtm1b5OTkoLy8HOnp6WjZsiVcXV1Fr6empppcVEutVkOtVosbKpeL3qMpaNOmDQCwtU54/GPD54lxdL0sQ9fLfHStLEPXyzLN5XqZM1vVJmGkoqJCNC2Vn51SXl6O8vLyGlNWPT09UVFRYfL9EhMTsWbNGtFzkydPxpQpU2zR3EYjKyvL2U1oVOh6WYaul/noWlmGrpdlmvr1iomJqfMcm4QRhUIBpVLJHpeVlQHQLeTl4eEheg0AlEolFAqFyfdLSEjAjBkzxA1tgpURU7RaLbKyshAVFeWw9U8aM7pelqHrZT66Vpah62UZul56NgkjrVu3xrVr19jj1NRUhIaGwsPDAzExMcjKyoJarWZhIjU1tUbYEHJ1dW02waM2Uqm02f8FtQRdL8vQ9TIfXSvL0PWyDF0vCwewVldXQ6VSQavVQqPRQKVSQaPR4KGHHsKBAwfw999/o6ysDOvWrWNLm7dq1QqtWrVCUlIS1Go1tm7dColEgu7du9vj+xBCCCGkkbEojKxduxb9+/fH9u3bsW7dOvTv3x+7d+9G27Zt8cILL+DFF1/EyJEjERwcjDlz5rCfe/vtt3H8+HEMHjwYmzdvxvvvvw+5vNlui0MIIYQQAQnHcZyzG0HEtFotMjIyEB0d3exLd+ag62UZul7mo2tlGbpelqHrpde8vz0hhBBCnI7CCCGEEEKcisIIIYQQQpyKwgghhBBCnIrCCCGEEEKcisIIIYQQQpyKwgghhBBCnIrCCCGEEEKcihY9I4QQQohTUWWEEEIIIU5FYYQQQgghTkVhhBBCCCFORWGEEEIIIU5FYYQQQgghTkVhhBBCCCFORWGEEEIIIU5FYYQQQgghTkVhhBBCCCFORWGEEEIIIU5FYcQBNm/ejBkzZqB3795YvXo1e57jOKxevRqjRo3CAw88gLfeegtVVVXs9blz56Jfv34YOHAgBg4ciPnz54veNykpCcOGDcOQIUOwatUqNIWV/e1xrXbt2oUZM2Zg0KBBGD16NJKSkhz5lezKXn+3AKC6uhpTp07F+PHjHfFVHMJe1+vChQuYPXs2Bg4ciFGjRmH//v0O+072ZI/rpVar8dZbb2HYsGEYOnQolixZAqVS6dDvZQ/WXisA+PbbbzFq1Cjcf//9eOSRR0TXoyn+O28MhREHCAoKwty5czFkyBDR87t27cL+/fuRmJiIn3/+Gfn5+VizZo3onMWLF+Pw4cM4fPgwPvnkE/b8kSNHsGnTJiQlJWHjxo04evQoduzY4ZDvY0/2uFYqlQoLFizA/v378fXXX2PXrl3Ys2ePQ76PvdnjevE2btwILy8vu7bf0exxve7cuYOFCxdi7ty5OHjwIJKTk9GhQweHfB97s8f12rhxIy5fvozNmzdj586dKCgoQGJiokO+jz1Ze602btyIY8eOYe3atTh06BCWLl0KFxcXAE3333ljKIw4wAMPPIBBgwbB29tb9PyRI0cwceJEhISEwNPTE7NmzcJPP/1k1nvu3r0bEyZMQGRkJIKCgjBz5kzs3r3bHs13KHtcq0mTJqFbt26Qy+UIDw/HkCFDcP78eXs03+Hscb0AID8/H9u2bUNCQoKtm+xU9rheP/zwA0aPHo1+/fpBLpfDz88PkZGR9mi+w9njet28eRN9+/aFn58fPD098cADDyAtLc0ezXcoa66VRqPBunXrsHjxYoSGhkIikaBdu3ZwdXUF0HT/nTeGwoiTGZbccnNzUVZWxh6vXLkSw4YNw7x583D16lX2fHp6Otq1a8cet23bFqmpqfZvsBNZe60MnTlzBq1bt7ZbOxuK+lyvTz/9FAkJCXB3d3dIWxsCa6/XxYsXAQBTp05FfHw8Xn/9ddHPNVXWXq/Ro0fj3LlzKCgoQFlZGQ4ePIg+ffo4rN3OYOpa5ebmorKyEvv27cPw4cMxceJEbNu2jZ3XnP6dpzDiRP369cOWLVtw69YtlJaWslJlRUUFAGD+/PnYuXMnfvrpJ/Tu3Rvz589nfYnl5eXw9PRk7+Xp6cl+rimqz7US+v7771FSUoLRo0c7tP2OVp/rdf78eWRmZmLEiBFOa7+j1ed65eXlYffu3Xj//fexbds2lJeXY+XKlU77Lo5Qn+sVFRUFPz8/xMfHY/DgwZDJZHj44Yed9l3srbZrxYeSzMxM7Ny5E++99x4+//xznD17FkDz+neewogTjR07Fg8++CDmzp2LqVOn4r777oNcLkdAQAAAoHPnzvDw8IC7uztmzZoFDw8P/PXXXwAADw8P0c1WqVRCoVA45Xs4Qn2uFe+XX37B+vXr8fHHHzf53/itvV5arRYffPABXnrpJUgkEid/C8epz98vNzc3jBkzBtHR0fDw8MDjjz+OP/74w5lfx+7qc72WL18OuVyO33//HQcPHoSnpydWrVrlzK9jV7VdKzc3NwDAk08+CXd3d7Rr1w7Dhw9nf3+a07/zcmc3oDmTSqV46qmn8NRTTwEAjh8/jtjYWMhkMpPn82JiYnDt2jUMGjQIAJCamoo2bdrYv9FOUp9rBQC///47Pv74Y3zxxReIiIiwe3udzdrrpVQqcfnyZbz44osAgKqqKiiVSsTHx2PLli1NbkArrz5/v9q0aSMKbs0hxNXnel29ehUvvPAC+41/1KhR+OKLL+zfaCep7VpFR0fDxcXF5N+f5vTvPFVGHKC6uhoqlQparRYajQYqlQoajQZFRUXIzs4Gx3FITU3FRx99hCeffBIAUFpaiuPHj0OtVqOqqgrJyckoKSlB586dAQAjR47E1q1bkZ2djfz8fCQnJ2PkyJHO/Jo2YY9r9eeff2LZsmX48MMPm9x/yLa+Xl5eXti9ezeSk5ORnJyMxYsXo0WLFkhOThaVixsre/z9Gj16NHbt2oXs7GxUVlYiKSkJAwYMcObXtBl7XK+OHTti9+7dqKysREVFBXbv3o22bds682vahDXXSqFQYOjQoVi7di3UajXS09Px22+/oX///gCa7r/zxki4pjppuQFZvXp1jWlvr7/+Ojp37owXXngBeXl5CA4Oxpw5czBmzBgAQGFhIebPn4+MjAzI5XK0b98ezz//PGJjY9l7JCYm4vvvv4dWq8X48eMxf/78Rv9bmT2u1VNPPYWUlBQ2Qh0ARowYgVdffdVxX8xO7PV3i3fq1Cm89dZb2L59uyO+jt3Z63pt2LABiYmJqK6uRr9+/bBgwYIasyoaI3tcr4KCAixfvhynT58GAPTo0QOLFi1CUFCQY7+cjVlzrQBdeHvzzTdx4sQJ+Pn5Yfbs2Zg4cSJ7vSn+O28MhRFCCCGEOBV10xBCCCHEqSiMEEIIIcSpKIwQQgghxKkojBBCCCHEqSiMEEIIIcSpKIwQQgghxKkojBBCCCHEqSiMEEIIIcSpKIwQQhq1Xr16oVevXti1a5ezm0IIsRKFEUJInebOnctu+tOnTxe9VlRUhP79+7PXP/30U5t//q5du9j7E0KaHgojhBCLXL16FWfOnGGPt2/fDpVK5cQWEUIaOwojhBCzyeVyAMCPP/4IANBoNNi8eTN7Xqi4uBjvvfceRo0ahd69e2P48OFYsmQJcnJy2DmrV69Gr169MGbMGOzbtw8PP/wwBgwYgCeffBLXr18HALzxxhtYunQp+xm+QrJ69WrR55WVlWHp0qUYNGgQRowYgW+++cbWX58QYicURgghZmvfvj0iIiLw+++/4/bt2/jf//6HnJwcDB06VHSeSqXC3LlzsWnTJty5cwfR0dFQKpX45ZdfkJCQgMLCQtH5ubm5WLx4MSQSCVQqFc6ePYs333wTABAZGYmIiAh2bufOndG5c2e0aNFC9B6fffYZjh07BhcXF+Tl5eGrr77C8ePH7XQlCCG2RGGEEGI2qVSKyZMns4oIXyGZOnWq6Ly9e/ciNTUVAPDee+9h48aNWLt2LaRSKfLy8rBx40bR+RqNBu+//z42b97MxqScP38elZWVeOKJJ/DEE0+wc5OSkpCUlITx48eL3qNDhw7YtWuXqFJz8uRJm35/Qoh9UBghhFhk3LhxUCgU2LhxI06dOoWOHTuia9euonMuXboEAHB3d8cDDzwAAIiNjUV0dLTodZ6Xlxfuv/9+AEDr1q3Z84YVlNoMGzYMLi4u8PPzQ0BAAACgoKDAsi9HCHEKCiOEEIt4e3tjxIgRUCqVAGpWRax9T55MJmPHHMfV6z0s+XlCiPNQGCGEWGzKlCkAAH9/fwwfPrzG6506dQIAVFZW4vfffwcAXL58GRkZGaLXzeXu7s6OKyoqrGkyIaQBqzkEnhBC6tC2bVvs378fMpkMrq6uNV6Pj49HcnIyUlNTsXDhQkRHR+PGjRvQarUIDg5mYcZcrVq1YseTJ09GUFAQnn/+eXTv3r2e34QQ0hBQZYQQYhVfX194eXkZfc3NzQ1ff/01Cw4ZGRnw8PDAiBEjkJiYCH9/f4s+q127dnjiiScQGBiInJwcXLhwAaWlpbb4GoSQBkDCUacqIYQQQpyIKiOEEEIIcSoKI4QQQghxKgojhBBCCHEqCiOEEEIIcSoKI4QQQghxKgojhBBCCHEqCiOEEEIIcSoKI4QQQghxKgojhBBCCHEqCiOEEEIIcSoKI4QQQghxqv8HXb7i/WnocbsAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# использование поиска сезонности для автоматической подстановки\n",
"seasonal_model = NaiveSeasonal(K=train_period)\n",
"seasonal_model.fit(train)\n",
"seasonal_forecast = seasonal_model.predict(36)\n",
"\n",
"series.plot(label=\"actual\")\n",
"seasonal_forecast.plot(label=\"naive forecast (K=12)\")"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "bf029400",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='Month'>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Добавляем линейный тренд (drift)\n",
"from darts.models import NaiveDrift\n",
"\n",
"drift_model = NaiveDrift()\n",
"drift_model.fit(train)\n",
"drift_forecast = drift_model.predict(36)\n",
"\n",
"combined_forecast = drift_forecast + seasonal_forecast - train.last_value()\n",
"\n",
"series.plot()\n",
"combined_forecast.plot(label=\"combined\")\n",
"drift_forecast.plot(label=\"drift\")"
]
},
{
"cell_type": "markdown",
"id": "d73c6968",
"metadata": {},
"source": [
"## Метрики качества"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "d33d080f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Mean absolute percentage error for the combined naive drift + seasonal: 5.66%.\n"
]
}
],
"source": [
"from darts.metrics import mape\n",
"\n",
"print(\n",
" f\"Mean absolute percentage error for the combined naive drift + seasonal: {mape(series, combined_forecast):.2f}%.\"\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "5fb8943a",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"model ExponentialSmoothing() obtains MAPE: 5.11%\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"model TBATS() obtains MAPE: 5.87%\n",
"model AutoARIMA() obtains MAPE: 11.65%\n",
"model Theta() obtains MAPE: 8.15%\n"
]
}
],
"source": [
"from darts.models import ExponentialSmoothing, TBATS, AutoARIMA, Theta\n",
"\n",
"def eval_model(model):\n",
" model.fit(train)\n",
" forecast = model.predict(len(val))\n",
" print(f\"model {model} obtains MAPE: {mape(val, forecast):.2f}%\")\n",
"\n",
"eval_model(ExponentialSmoothing())\n",
"eval_model(TBATS())\n",
"eval_model(AutoARIMA())\n",
"eval_model(Theta())"
]
},
{
"cell_type": "markdown",
"id": "255b5f32",
"metadata": {},
"source": [
"# Theta method\n",
"Данный метод не рассматривался для экономии времени"
]
},
{
"cell_type": "markdown",
"id": "8bccf5f0",
"metadata": {},
"source": [
"# Модели машинного обучения\n",
"Пример моделей:\n",
"- RegressionModel can wrap around any sklearn-compatible regression model to produce forecasts (it has its own section below).\n",
"- RNNModel is a flexible RNN implementation, which can be used like DeepAR.\n",
"- NBEATSModel implements the N-BEATS model.\n",
"- TFTModel implements the Temporal Fusion Transformer model.\n",
"- TCNModel implements temporal convolutional networks.\n",
"- …"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "22339b4b",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='Month'>"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from darts.datasets import AirPassengersDataset, MonthlyMilkDataset\n",
"\n",
"series_air = AirPassengersDataset().load().astype(np.float32)\n",
"series_milk = MonthlyMilkDataset().load().astype(np.float32)\n",
"\n",
"# set aside last 36 months of each series as validation set:\n",
"train_air, val_air = series_air[:-36], series_air[-36:]\n",
"train_milk, val_milk = series_milk[:-36], series_milk[-36:]\n",
"\n",
"train_air.plot()\n",
"val_air.plot()\n",
"train_milk.plot()\n",
"val_milk.plot()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "28e3676d",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='Month'>"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# масштабирование\n",
"from darts.dataprocessing.transformers import Scaler\n",
"\n",
"scaler = Scaler()\n",
"train_air_scaled, train_milk_scaled = scaler.fit_transform([train_air, train_milk])\n",
"\n",
"train_air_scaled.plot()\n",
"train_milk_scaled.plot()"
]
},
{
"cell_type": "markdown",
"id": "4536efeb",
"metadata": {},
"source": [
"## Пример: N-BEATS\n",
"\n",
"Нужные параметры для настройки\n",
"- `input_chunk_length`: this is the “lookback window” of the model - i.e., how many time steps of history the neural network takes as input to produce its output in a forward pass.\n",
"\n",
"- `output_chunk_length`: this is the “forward window” of the model - i.e., how many time steps of future values the neural network outputs in a forward pass."
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "21cac240",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"GPU available: False, used: False\n",
"TPU available: False, using: 0 TPU cores\n",
"HPU available: False, using: 0 HPUs\n",
"\n",
" | Name | Type | Params | Mode \n",
"-------------------------------------------------------------\n",
"0 | criterion | MSELoss | 0 | train\n",
"1 | train_criterion | MSELoss | 0 | train\n",
"2 | val_criterion | MSELoss | 0 | train\n",
"3 | train_metrics | MetricCollection | 0 | train\n",
"4 | val_metrics | MetricCollection | 0 | train\n",
"5 | stacks | ModuleList | 6.2 M | train\n",
"-------------------------------------------------------------\n",
"6.2 M Trainable params\n",
"1.4 K Non-trainable params\n",
"6.2 M Total params\n",
"24.787 Total estimated model params size (MB)\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "ce63a7a3fdfa4c8fa5065c81374a9ac3",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Training: | | 0/? [00:00<?, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"`Trainer.fit` stopped: `max_epochs=50` reached.\n"
]
}
],
"source": [
"from darts.models import NBEATSModel\n",
"\n",
"model = NBEATSModel(input_chunk_length=24, output_chunk_length=12, random_state=42)\n",
"\n",
"model.fit([train_air_scaled, train_milk_scaled], epochs=50, verbose=True);"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "5e2f9580",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"GPU available: False, used: False\n",
"TPU available: False, using: 0 TPU cores\n",
"HPU available: False, using: 0 HPUs\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "c9a6fdcbc4a24d419bb730cf849ab034",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Predicting: | | 0/? [00:00<?, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<Axes: xlabel='Month'>"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pred_air, pred_milk = model.predict(series=[train_air_scaled, train_milk_scaled], n=36)\n",
"\n",
"# scale back:\n",
"pred_air, pred_milk = scaler.inverse_transform([pred_air, pred_milk])\n",
"\n",
"plt.figure(figsize=(10, 6))\n",
"series_air.plot(label=\"actual (air)\")\n",
"series_milk.plot(label=\"actual (milk)\")\n",
"pred_air.plot(label=\"forecast (air)\")\n",
"pred_milk.plot(label=\"forecast (milk)\")"
]
}
],
"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": "3.11.9"
}
},
"nbformat": 4,
"nbformat_minor": 5
}