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Created August 3, 2023 10:35
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!excelR/assignments/Gists/Forecasting (AirLines).ipynb
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{
"cells": [
{
"metadata": {},
"id": "147c6bfa",
"cell_type": "markdown",
"source": "# FORCASTING (AIRLINES)"
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:07.519267Z",
"start_time": "2023-07-19T05:05:03.232059Z"
},
"scrolled": true,
"trusted": false
},
"id": "ee79bb83",
"cell_type": "code",
"source": "!pip install pmdarima",
"execution_count": 1,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "Requirement already satisfied: pmdarima in c:\\users\\preet\\anaconda3\\lib\\site-packages (2.0.3)\nRequirement already satisfied: numpy>=1.21.2 in c:\\users\\preet\\anaconda3\\lib\\site-packages (from pmdarima) (1.21.5)\nRequirement already satisfied: scikit-learn>=0.22 in c:\\users\\preet\\anaconda3\\lib\\site-packages (from pmdarima) (1.0.2)\nRequirement already satisfied: urllib3 in c:\\users\\preet\\anaconda3\\lib\\site-packages (from pmdarima) (1.26.11)\nRequirement already satisfied: statsmodels>=0.13.2 in c:\\users\\preet\\anaconda3\\lib\\site-packages (from pmdarima) (0.13.2)\nRequirement already satisfied: joblib>=0.11 in c:\\users\\preet\\anaconda3\\lib\\site-packages (from pmdarima) (1.1.0)\nRequirement already satisfied: Cython!=0.29.18,!=0.29.31,>=0.29 in c:\\users\\preet\\anaconda3\\lib\\site-packages (from pmdarima) (0.29.32)\nRequirement already satisfied: pandas>=0.19 in c:\\users\\preet\\anaconda3\\lib\\site-packages (from pmdarima) (1.4.4)\nRequirement already satisfied: scipy>=1.3.2 in c:\\users\\preet\\anaconda3\\lib\\site-packages (from pmdarima) (1.9.1)\nRequirement already satisfied: setuptools!=50.0.0,>=38.6.0 in c:\\users\\preet\\anaconda3\\lib\\site-packages (from pmdarima) (63.4.1)\nRequirement already satisfied: pytz>=2020.1 in c:\\users\\preet\\anaconda3\\lib\\site-packages (from pandas>=0.19->pmdarima) (2022.1)\nRequirement already satisfied: python-dateutil>=2.8.1 in c:\\users\\preet\\anaconda3\\lib\\site-packages (from pandas>=0.19->pmdarima) (2.8.2)\nRequirement already satisfied: threadpoolctl>=2.0.0 in c:\\users\\preet\\anaconda3\\lib\\site-packages (from scikit-learn>=0.22->pmdarima) (2.2.0)\nRequirement already satisfied: patsy>=0.5.2 in c:\\users\\preet\\anaconda3\\lib\\site-packages (from statsmodels>=0.13.2->pmdarima) (0.5.2)\nRequirement already satisfied: packaging>=21.3 in c:\\users\\preet\\anaconda3\\lib\\site-packages (from statsmodels>=0.13.2->pmdarima) (21.3)\nRequirement already satisfied: pyparsing!=3.0.5,>=2.0.2 in c:\\users\\preet\\anaconda3\\lib\\site-packages (from packaging>=21.3->statsmodels>=0.13.2->pmdarima) (3.0.9)\nRequirement already satisfied: six in c:\\users\\preet\\anaconda3\\lib\\site-packages (from patsy>=0.5.2->statsmodels>=0.13.2->pmdarima) (1.16.0)\n"
}
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:12.934858Z",
"start_time": "2023-07-19T05:05:07.527298Z"
},
"trusted": false
},
"id": "22929cda",
"cell_type": "code",
"source": "from pmdarima import auto_arima\n",
"execution_count": 2,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:12.966676Z",
"start_time": "2023-07-19T05:05:12.935228Z"
},
"trusted": false
},
"id": "ecb4b499",
"cell_type": "code",
"source": "import numpy as np\nimport pandas as pd\nimport matplotlib.pyplot as plt\nfrom statsmodels.tsa.seasonal import seasonal_decompose\nimport warnings\nwarnings.filterwarnings(\"ignore\")",
"execution_count": 3,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:14.014913Z",
"start_time": "2023-07-19T05:05:12.975137Z"
},
"trusted": false
},
"id": "188c76b2",
"cell_type": "code",
"source": "airline = pd.read_excel('Airlines+Data.xlsx',index_col ='Month',parse_dates = True)",
"execution_count": 4,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:14.080422Z",
"start_time": "2023-07-19T05:05:14.023618Z"
},
"scrolled": false,
"trusted": false
},
"id": "0ca03414",
"cell_type": "code",
"source": "airline.head()",
"execution_count": 5,
"outputs": [
{
"data": {
"text/html": "<div>\n<style scoped>\n .dataframe tbody tr th:only-of-type {\n vertical-align: middle;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n\n .dataframe thead th {\n text-align: right;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>Passengers</th>\n </tr>\n <tr>\n <th>Month</th>\n <th></th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>1995-01-01</th>\n <td>112</td>\n </tr>\n <tr>\n <th>1995-02-01</th>\n <td>118</td>\n </tr>\n <tr>\n <th>1995-03-01</th>\n <td>132</td>\n </tr>\n <tr>\n <th>1995-04-01</th>\n <td>129</td>\n </tr>\n <tr>\n <th>1995-05-01</th>\n <td>121</td>\n </tr>\n </tbody>\n</table>\n</div>",
"text/plain": " Passengers\nMonth \n1995-01-01 112\n1995-02-01 118\n1995-03-01 132\n1995-04-01 129\n1995-05-01 121"
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:14.112956Z",
"start_time": "2023-07-19T05:05:14.080422Z"
},
"trusted": false
},
"id": "f681600b",
"cell_type": "code",
"source": "result = seasonal_decompose(airline['Passengers'], model ='multiplicative')",
"execution_count": 6,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:16.500604Z",
"start_time": "2023-07-19T05:05:14.113704Z"
},
"trusted": false
},
"id": "59b8ca44",
"cell_type": "code",
"source": "result.plot()",
"execution_count": 7,
"outputs": [
{
"data": {
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6y+228wSH2btvsA2qqKiARCKBUqmkRROEEEI6vOOpxXh83SkEegmxZFJ3jOzi5+gq2U1GcRVGrTgEg5Fh29yh6Bvqffsn3aJGZ8CoTw8ht1yNl8bGYP490a2qU3PjlI4XfhNCCCGkUQYjw9LfL0NnYMgsqcas9afx9MYzyC51TJoOe/ti/zUYjAwjO/veUUAHAG48F7xyb2cAwKqD11FYUWPNKjaKgjpCCCGEWPx8JhvJBSp4iXh4clgEXLkc7L1cgNErDuGLf66hRue823BeL6rE9sRcAMCLY2Ja9VqTeweib6gXqrUGfPK3fVKcUFBHCCGEEABApUaPT2sDkOfvicbbk7rhrxfuxpBIGTR6I1bsTcG4zw47JF2HPXz5zzUYGTC6qx96BXu16rXMKU4A4JeEHFzOs/2WpBTUEUIIIQQAsPrgdRRXahEuE+Hfg8MAANH+Yvz4dCy+mN4X/p4CZJZUY/aG08gqca7h2NRCFXaeywMALBzdul46s36h3pjYKwCMAR/8ecXmKU4oqCOEEEII8srV+O5IGgDg9fu6gu96I0TgcDiY3DsQ/ywegd4hXiiv1uHpjWdQ5cDN663t839SYWSmnSF6BEms9rqv3tsFfBcujqYW42BykdVetyEU1BFCCCEEn+xJhkZvxKAIKcZ2a3hXJg+BK9b8uz98xQIkF6iw+OdzMBrbfxKNlAIVdp23bi+dWYhUhFnDwgEA7/95BXqD0aqvfzMK6gghhJAO7kKOEr/VLhB4a0LXJvdPl0vcsPrf/cF34WL3JQW+OpBqr2razOf/XANjwPgecnQLtH5qs7kjO8FbxENqYSU2n862+uubUVBHCCGEdGCMMbz3x2UAwP19g5q1QKB/mDf+M7U7AGDF3hTsvVxgyyra1FVFBf44nw8AeGF06/LJNUYi5Fl6AD/bmwJVjc4m70NBHSGEENKB7b1cgJPppRC4cvHyuM7Nft7DA0Px2BDTYooXf0pCaqHKVlVsEWW1DodSipBaqGo0/QpjDIWqGhxKKcLSnaaAdkKvAHSR224DghmxoYj0dUdJlRarDl63yXu06W3CCCGEEGI7Gr0BH/51FQDw1N0RCPQStuj5/zexG5IVKpxML8XTGxOwfd4wSIQ8W1S1WfQGIx77/iTO5SgBABwOECgRIkwmQriPO4Q8FyQrVLiSX4GSKq3leRwO8MIo2/TSmfFcuHh9fFc8vfEM1h5Nx6OxoQj2bv6ess1BPXWEEEJIB7XmUBrSiqvg4yHAcyM6tfj5PBcuVj3aD0FeQqQXV2Hxz+dsnrajKeuPZ+BcjhJ8Vy48BK5gDMgtV+P49RL8eDILa4+m42hqMUqqtOBygChfd0zsFYDvHx+IGH/x7d+glUZ39cPgSCm0eiM+3tP8hMSZJVXNKkc9dYQQQjq0kkoN3AWudtt0va24XlSJr/abFjm8PakbPAR3FhLIPARYM7M/Hlh1HPuuFOB/J7MwszbHnT1ll1bj079TAADvTu6OhweGoKRKi8ySKmQUVyOzpAqVGgM6yz3QRe6JGH8xhHz7/p9zOBy8NaEbJn11FDuS8vDIwFAMiZI1+RylWofn/pfQrNenoI4QQkiHdSy1GE+sOwVXLhcjOvtiXHc5Rnbxc+gQoj0wxvDmtgvQGoyIi/HFpF4BrXq9HkESvDq+C/6z6zLe23UZg8Kl6Cy3fc+XGWMMb2y7ALXOgMGRUjw8MAQcDgc+HgL4eAjQP0xqt7rcTo8gCR4eEIItp7Mx/8ez2LngLgQ1MuxtNDIs/jkJWaXqZr02Db8SQgjpkEoqNXjxpyToDAxqnQF/XVRg4U9JGPDeXjz2/Sn8cDLTqZLr3uyXhBycSCuFG4+L96b2aDKFSXPNGhqOuBhfaPRGPL850a57xG5LzMWRa8Xgu3Kx7IFeVjkeW3pnUnd0D/RESZUWczadgVrbcFt9c+g69l0pBM+1eeEaBXWEEEI6HMYYXt16HoUqDaL9PLD1uaGYP7ITov08oDMwHE4pwpvbLuLhb+NRrXWuwK6kUoMP/rwCAHhxdAxCpNaZrM/lcvDJQ73h48FHcoEKy2rfw9ZKKjX4zy7TCtYXRkUjwsfdLu/bGkK+C9bM7A+pOx8Xcyvw6tbz9eYiHk4pwie1+/C+dV+XZr0uBXWEEEI6nI3xmdh3pRB8Vy6+mN4X/cO88dK4zti7KA7/LI7DK/d2tnzgOsuuCWbv/XEF5dU6dA3wxJN3RVj1tX3FAnzyUG8AwIb4TPxzpfX56xTKGuy5pMD+qwVQquvnd/vPrssoq9ahi1yMZ4ZHtvr97CXYW4RVj/aDK5eDnefy8O3hNMtjOWXVeGFLIhgDHhkYggf7hzTrNTnMkctU2oiKigpIJBIolUp4etouRw0hhBDHu6qowOSvjkGrN2LJpG54YljDgc3pjFLM+O4EdAaG5+/phEVjm5/Dra06cq0IM9eeAocDbJs7DH1CvGzyPv/ZdRlrj6ZD6s7H7hfuhp+nW7OeV6Mz4GxmGZJyynEuuxxJ2eUoqNBYHudwgG4BnoiNkCG2dhXpgs2J4NYeT28bHY8tbYzPwNs7LoHLAdbNGoTYCCkeWh2PC7lK9AqW4Oc5Q6BVVzUrTqGgDhTUEUJIR1GjM2DyV0eRUlCJe7r4Ye3jA5qcf/XLmWy8/Ot5AMDnj/TBlD5B9qqq1am1Boz77DCySqvxxNBwLJnc3WbvpdEbcP/Xx3E5vwJ3dfLBxicHgcttep5bRY0OU78+hrSiuuk7XLgcRPt5QKs3Iq244dQes++KwP9N7Ga1+tsTYwyvbb2An85kw9PNFUOjfLD7kgLeIh5+X3AXgr1FzY5TaPUrIYR0QOXVWhy5VoxDKUW4mKvEwtHRuLdH61ZAtgfv/XEZKQWV8BUL8PG/bj+h/qEBIUgtrMSaw2l4+dfzCJO526x3qzUYY6jU6FFerYNSrUOFWge1zoAanbH2XwNOppciq7Qack83LB5r3U3rbyVwdcEX0/ti0pdHcTS1GN8cuo55I5vOg/f+ritIK6qCl4iHYZ180DfEC71DvNA90BMivilcKayowYn0UpxMK8HJ9FKkFlYi0tcdi8bY9nhsicPh4N2p3XGtUIWzWeXYfUkBLgf4cnq/Ficnpp46UE8dIaRjuJirxD9XCnEopRBJ2eW4eZqYwJWLX58dip7BEsdV0Mb+vqTAM5tM+b42zR6Eu6N9m/U8g5HhmY1n8M/VQviKBdg5fxgCJC3becEWdp3Pwxf/XENJpRblah0MzZz3t2Zmf4zrLrdx7Ux+Pp2NV7aeB5cD/O+pWAyN8mmw3IHkQsxadxocDvDTM0MwKKJ5KUjKqrQQ8l2cIsdgYUUNJn11FAUVGrw8rnOdILi5cQoFdaCgjhDi3NRaA97ecRG/JOTUuT/G3wNxMb64qlDhyLViBEjcsHP+XfAVCxxUU9u5qqjAw2tOQKnW4ZnhkXjjvq4ten6lRo8HVx1HcoEKPYI88fOcIZbeI0dIyi7HQ6uPQ2eo+xHuxuPCS8iH2M3VEuy48Vzg5sqFkO+CPiFemNXIHEJbYIzh5V/P49eEHPh48PHH83fD/5b5dUq1DuNWHoaiogazhoXjnUm2GxZu6wpVNUhRVGJYJ1mdXmQK6lqAgjpCiLNKL67Cc/9LwFWFClwOMKabP0Z09kNcjK9ln8+b5zINDPfGD08NBr+ZebHag4ziKvxrdTyKKzXoF+qFLc8MuaPjyy6txpSvj6G0Sosx3fzxzaP94Opi/3ZSVutw3xdHkFuuxrju/lg0pjO8RDxIhLw22WOl1hpw/6pjuKpQYVCEFD8+FVun3V7+5Rx+SchBuEyEv14YbvddHtqD5sYpzvNXSwghpI6/LuRj0pdHcVWhgo8HH/+bHYs1Mwdg+qDQOhu3e7rx8N1jAyAWuOJ0RhmW/n7JgbW2rrxyNR7970kUV2rQRS7GuicG3XHAGiIVYc3M/uC7crH3cgHe3HbR7vucMsbw0q/nkFuuRqhUhI8f6o3OcjH8Pd3aZEAHmHKyrXq0HzwErjiVXopParfyAoADVwvxS0IOOBzg44d6U0DXShTUEUKIk9EZjPjPrst47oezqNToMTDcG388fzeGdmp4PhMARPl64IvpfcHhAD+czMKPJ7PsWGPbKK7U4N//PYnccjUifdyxaXYsJKLWbf81MFyKLx7pCy4H+OlMdos2ZbeGtUfTsfdyAfguXKx6tB883drHdmaRvh746F+9AACrD13H3sumnHOv/WZaWTxraAQGhredrbzaKwrqCCEdwrnscnz6dzKuF1U6uio2dSq9FA+tjsfao+kAgDnDI/Hj04PrzWNqyMgufnipNhfbOzsv4nRGqU3rakvKah1mrj2FtOIqBHkJsempWKvNFby3hxwf3N8TALDq4HVLW7dWpUaPTScysfrQdaQUqOr1AiZmleHDv64CAP5vYlf0CGpfi1ru6xmAJ2vn8y36OQmLf05CQYUGET7ueHlc+88B2BbQnDrQnDpCnJVGb8CfF/Kx4XgmkrLLAQD+ngJsn9c2Vi/eqqRSg7NZ5eC5cCwT3IU8F7jxuPB25zfZKxN/vQSf/5OCE2mmQEwscMUn03q3eJUjYwzzNyfij/P58PHgY8f8xjcbtxfGGKq1BrgLmrcwoUqjx8y1J3E2qxw+HgL88uwQm2wd9fWBVEtP3WcP98HUvneWw66wogbrjmfgfycyoaq5sSVZpI87xnaXY1x3f4TL3DHxy6PILVdjQs8AfDWjb5vf37QhWr0RD38bj8SscgCmZMK/zBmCAdRL1yRaKNECFNQR4lzylWr8eDILm09lobhSCwDgu3AhEfFQpNKga4Anfnl2CDyaGSTYQ43OgIlfHkVqYeM9iZE+7ugT6oW+od7oG+KFLnIxTqaX4vN/ruFUuimY47lwMG1ACOaN7FRn3lxLVGv1ePCbeFzJr0CIVIgfZg9GqMw6+4PeieW7r+Kbg9cR5etuWeQxKEJaZw5ZlUaP0xmliE8rwb7LBbheVAWJkIctzwxG1wDbXNcZY3h312WsO5YBVy4H3z0+ACM7+zX7+amFlfjucBq2JeZCazACACJ93REmFeFYaonlPgDgu3Kh1RsRJhNh14K7IG4nw64NyStXY8IXR1BWrWvXSYPtiYK6FqCgjhDnkJhVhu+PZeDPC/mWnF1yTzc8GhuKRwaFokZnwP2rjqO4UoORnX3x3WMDHLJ6sSEr/k7GF/tTIRa4IlQmglpngEZnRE1t4tgqraHec/guXMsHP9+Fi0cGheDZuKg7DuZulleuxvTvTiCzpBr+ngL88FQsOvmJW/26LZVaqMK4z47Uy8HmxuNiSKQM0f5iJGSW4Vx2OfQ3lRELXLFx9iD0DfW2af2MRoYXf07CjqQ8uPG4WD9rEAZHypp8jkZvwBu/XcTWszdSzAwI88acuCiM6uIHLpcDVY0OB5OLsOeSAgeuFqJKawDflYvfnhva7oZdG3IpT4njqSV4bGgYBK60OOJ2KKhrAQrqCGm/dAYjdl9U4Ptj6ZYhHQAYFC7F40PDMba7P3g3BW5J2eV45Nt41OiMeGxIGJZO7u7wYaxkhQoTvjgCvZFh1aP9cF/P+js7lFVpkZRTjsSsciRmlSEpuxyqGj0ErlxMHxSKZ+OiIJc0b3/N5iqsqMG/155ESkElpO58bHxykN0DiifXn8b+q4W4p4sf/tU/GAeTC3EopajOfqBmwd5CDI2SYUiUDMOjfSHzsE++Pa3eiKc3nsGhlCLwXbn4anpfjG1k2FutNeCZTWdw5FoxOBxgTFd/zImLRP+wxocfzbtB+HoI0C2QPqM6IgrqWoCCOkLaH8YYNsabJpXnK2sAmHqrJvcJxKxh4ege2Hjw8deFfMz98SwYA96e2A1P3mW/ZKy3MhgZHvzmOJKyyzGmmz++ndm/WUGm0ciQUVIFqTsfXiK+zepXVqXF4+tO4XyOEmI3V6yfNQj9w2zb+2Vm3nzelcvB3y8OR6SvBwDT/31ygQoHk4uQVVqNPiFeGBIpQ4jUcUPENToD5v+YiH1XCsDlAB8+2AvTBoTUKVNRo8Ps9adxOqMMQp4Lvn2sf7N3tSAdGwV1LUBBHSHtz9qj6fjPrssAAB8PPv49OAyPxoY1e4Xjt4ev44M/r4LDAb6dOQBjuvnbsrqNWn8sHUt+vwwPgSv2LYqzem+bNahqdJi9/gxOZZRCxHfBfx8b0GR6FGswGBkmfHEEVxUqPDksAm9PavvzrvQGI17/7YJl547Xx3fBnLgoAKbg+LHvT+FCrjk4Hthk7xwhN2sXyYeXLVuGgQMHQiwWw8/PD1OnTkVyct2cP4wxLFmyBIGBgRAKhRgxYgQuXaqbGFOj0WDBggXw8fGBu7s7Jk+ejJycutvhEEKcx7HUYnzw5xUAwMLR0Tj22j1YODqmRSkrnr47EtMHhYIx4PnNiYi/XmKr6jYqt1xtWT356vgubTKgAwCxGw8bnhyEu6N9UK014In1p3E8tdim7/nzmWxcVaggEfLw/KimN4JvK1xduPjoX70wZ3gkAGDZX1ex7M8rKKiowcPfxuNCrhJSdz42Pz2YAjpiEw4N6g4dOoR58+bhxIkT2Lt3L/R6PcaOHYuqqipLmY8++ggrVqzAV199hdOnT0Mul2PMmDFQqVSWMgsXLsS2bduwZcsWHD16FJWVlZg4cSIMhvoTiwkh7VtWSTXm/XjWNGzZLxgvjIq+o4nWHA4H707pjrujfaDWGTDjvyewZOclVGn0t3+yFTDG8Na2C6jSGjAgzBuPDgq1y/veKSHfBf99fADGdvO3zCG7kKNs1nOrtXqkFVXieGoxfjubg1UHU7Fk5yX8dDoL+ptWeJpVavT49G9TsPvCqGibDi9bG4fDwev3dcXr47sAANYcTsM9nxxESkEl/MQC/PTMYKdY6EDapjY1/FpUVAQ/Pz8cOnQIw4cPB2MMgYGBWLhwIV599VUApl45f39/LF++HHPmzIFSqYSvry82bdqEhx9+GACQl5eHkJAQ/Pnnnxg3bly999FoNNBobkyyraioQEhICA2/knalokaHTfGZKKlN2XEzVxcORnf1x6AI5+oNqNLo8UDtpuq9Q7zw0zODW701UpVGj//suowtp7MBmCbbL3+wF4bZeHhx57k8PL85EXwXLv584S6HrCy9Exq9AbPWncbx6yWQufPx63NDG80BdylPicU/n8NVharBxwEg2s8Db07oihE3pQL5eM9VfH3gOiJ83LFn4fB2uw/tz2ey8drW8zAy03n141OOTQ1D2q92OacuNTUV0dHRuHDhAnr06IG0tDRERUXh7Nmz6Nu3r6XclClT4OXlhQ0bNmD//v0YNWoUSktL4e19Y/Ju7969MXXqVCxdurTe+yxZsqTB+ymoI+3F5bwKzP0hARkl1U2WG9HZFy+P69zkogFHKKvSIk+pRle5J7jc5q08ZYxh7g9n8ddFBXzFAvw+/y6rDlceuVaE17ZeQG65GgAwfVAIXr+va7O2YWKMYfdFBc5mlaG8WodytQ7Kah3K1VqUV+vq5Bszq9LooTMwvDg6Bi+MjrbacdiDqkaH6d+dwMXcCgR7C7H1uaH1dqz4+XQ2/m/HRWj0pmN357tALnGDXOIGf083SIQ8bE/MRVm1DgAQF+OLNyd0hYjvgns+PQSt3ojvHnPcXEdrOZxShH1XCvDciKg2mfCatA/tLqhjjGHKlCkoKyvDkSNHAADHjx/HsGHDkJubi8DAQEvZZ555BpmZmdizZw9+/PFHzJo1q07PGwCMHTsWERERWLNmTb33op460p79fCYb/7fd9GEZ5CXEpN6BuHWxZEFFDXYm5Vnydk3qHYjFY2IQboOs+i1RVqXFt0fSsOF4Bqq1BoRKRXhsSBge6h9y2z05v/znGj7dmwKeCwdbnrHNnKQqjR7Ld1/FxvhMAKYcd8se7NlkQtkanQH/t/2iZXJ8S3QL8MT2ecPaZU9UcaUG//rmODJKqtHZX4yf5wyBRMSDWmvA2ztutMfIzr5Y/q9e8BPXD8CV1Tp8uf8aNsRnQGdgcOFyEOItREZJNYZEyvDj07EOTzdDSFvQ3KCuzaRTnz9/Ps6fP4+jR4/We+zWP2rG2G3/0JsqIxAIIBDYJ38RIdZSozN9WP58xvRhOaKzL1ZO6wNv94bnGz1/TzRW7E3BznN5+P1cHv66kI9pA0OweEyM3fJ3mSmrdfjv0TSsO5aByto5azwXDrJKq/HeH1fw6d8pmNo3CI8PDUMX+Y0LllZvRHm1Fsevl+DTvSkAgPem9rDZJHN3gSvendIDE3oG4NWt55FRUo1Z607j4QEheHNi/V67fKUaz/7vLM5ll4PLAR4ZFIpgbyG8hHx4iXjwEvLgKeQ1OkQcIhW2y4AOAHw8BNg0OxYPfGMaDp+94TT+M7UHXvwpCVcVKnA5wOKxnfFcXFSjvbESEQ9vTeyGfw8Ow7K/rmDPpQJklFSDwwHemtiVAjpCWqhN9NQtWLAA27dvx+HDhxERcSNflK2GX29FKU2IrTDGoFTrWj3RO62oEvN+TMSV/ApwOcCiMTGYO6JTs4YuL+Up8cmeZBxILgIABErcsGbmAPQMtu2QLGMMVxUq7Dqfh43xN/a07BrgiUVjYjCskww7kvKw4XhGnTlXkb7u0OiMKKvWovqWXRQeGxKGd6f0sGm9zdRaAz7ek4x1x9PBmKndlv+rlyWv2JmMUjz7v7MortRAIuThqxl9O2TOsSv5FZi2Jr7OnqU+Hnx88UjfFqc9OZFWgm8Pp2FwpBTPDI+ydlUJabfaxfArYwwLFizAtm3bcPDgQURHR9d7PDAwEC+++CJeeeUVAIBWq4Wfn1+9hRL/+9//MG3aNABAfn4+goODG10ocSsK6ogtaPVGPPu/BOy/WogJvQKweEyMJXlqU9RaAy7lKZGUXY6k7HKcyylHdqlpnpfMnY8vpve9o0n8p9JL8drW80grrgLflYtl9/fEg/2DW/w6TTEaGRKzy7HnkgJ7LimQedOcv87+Yrw4Jhpju8nrBKOMMZxKL8WG+AzsuVRQbzsoLgeQCHkY1dUfyx7oWWd3CHs4mVaCl389j6xS07FMHxSKzv4eeP/PK9AZGLrIxfh25oAOPQH+VHopZq49CY3eiIHh3vhyer82m56FkPaoXQR1c+fOxY8//ogdO3agc+fOlvslEgmEQtOE0uXLl2PZsmVYt24doqOj8cEHH+DgwYNITk6GWGxaLfbcc89h165dWL9+PaRSKV566SWUlJQgISEBLi63XxlHQV3bptUbsT0pF0Wq+tsCcTkcDI6U2nx/x5YyGhkW/pSEnefyLPe5cDmYNiAYz4+KrjdhOru0Gn9dzMdfFxU4n6OsF9gAwN3RPvj4X71b9WFZUaPDwi1J2H+1EAAwa1g43riv6x0HSkUqDZIVKlxVVOCqQoXDKUUovOn/ie/KxfBoH9zfNxjje8hv27OoUNYgucCUm8xLyIO3iA+xm2uzF1PYSrVWj+V/XcWG2rl2ZhN6BuDjh3pBxG8zM1kc5nxOOa7mq3B/vyC7B96EOLt2EdQ1Nl9i3bp1eOKJJwCYvsUvXboUa9asQVlZGWJjY/H111+jR48bQzA1NTV4+eWX8eOPP0KtVmPUqFFYtWoVQkJCGnz9W1FQ13blK9WY98NZnL1pT8+G9A6W4LEh4ZjQK6DVKS5aizGGpb9fxvrjGXDlcvDO5O44eLUQ/9QGUnxXLh4fEoYpfYJw+FoR/rqgwIXcuvm+fMUC9Anxstx6BkuatQqzOYxGhpX7UvDl/lQAwJBIGb5+tB+kjczNu5neYMT64xnYf7UQyQoVSqrqp1MRC1wxsosf7u0hR1yML9wFzhPwHL9ejFd+PY/ccjVeGdcFz8ZF0rwvQojNtYugrq2goK5tOnKtCC9sSUJplRZiN1fc211eb5VnhVqP/cmF0NamTZC68/HIwBD8e3AYAr0ckz7g6wOpll0CPn+kD6b0CQJgmoO1fPdVnM4oq/ccLgeIjZDhvp5y3NPVH4ESN5sHC7sv5mPxz+dQpTUgyEuI/0ztjpGd/Rp937xyNRZuScKpjFLLfRwOEC5zR2d/MTrLxegb6oUhUbI7SgbcXmj1RpSrtQ2u5iSEEFugoK4FKKhrW4xGhi/3p+Kzf1LAGNAjyBOrZvRvdM5SSaUGW05n44cTmcir3didywHmjeyERWNi7NqTsvlUFl7/7QIA4J1J3TBrWN2N4hljOJhchI/3JCOlQIUhUTKM7xGAsd394WPnFakAkFKgwjMbz1jy3d0d7YO3JnRDZ3ndRLh7Linwyq/noVTr4CFwxYtjYjAgzBvR/h409EgIITZGQV0LUFDXdpRWabHwpyQcTjGt1Jw+KBTvTOrWrCFVvcGIfVcKsP54Bk6kmXqTHh4Qgvfv7wFXG8/xqdbq8dcFBV7+9RyMDJg/shNeGte5yecYjczhc8UA0zy7r/enYt2xDGgNRktqjkVjYuAhcMX7f1zBphOmuWS9gyX4YnpfhMkcm++OEEI6EgrqWqAtBHVVGj1+PJmFrWdzUKOrv2etqwsXo7r64d+xYQiROucquyv5FXhqwxnklqvhxuPi/al3vjpzy6ksvLHtAowMGNPNH19O72uVuXYGI0NGSZVpcUC+aXFAcoEKWaXVMP8lTR8Ugg/u79nu5lplllThw7+u4q+LCgCAh8AVfp4CpBWZ9mKeMzwSi8d2brd51QghpL2ioK4FHBnUlVVpsf54BtYfz4BSrbtteS4HGNXVH48PCcewTrI2EzgUVtTgbFYZIn09EOXrAZcW9kAduFqI+T+eRZXWgAgfd3zz7351ktDeiT2XFFiwORFavRGDIqT47+MDWrTYoEqjR0JmWe3qThWSCypwraDSsu3RrXw8BJjYKwD/N7Fbi4+/LTmZVoL3/rhiWbzh48HHp9P6IC6m4+VgI4SQtoCCuhZwRFCnUNbguyNp2Hwqy5JgNcLHHc8Mj0S0X/1cZoUqDTafysKRa8WW+6J83fH40HBMGxDisBWfaq0B3x5Ow+pD16Gu7WH0ELiiZ5AEvUO80CdEgr6h3vX2hTRjjGH98Qz8Z9dlGBkwNEqGbx7tf9sto5rrRFoJnt5wBiqNHl0DPLFh1kD4NVKXm6UUqDBz7UkUVNRPoyLkuSDG3wOd5WJ0kXuii9y0SMDeuzTYktHIsONcLi7mVmBOXCQtCiCEEAeioK4FWhLUnUwrQWJ2OXw8BAio3ZhaLnGDRzPTNuSWq/HNwVT8fDrHssl3twBPzBvZCff2kN+2hye1sBKb4jPwa0IOqmqDwTCZCO9N7WHXbPbmD/2Pdicjv3ZxQphMhCKVpt4uAAAwKFyKB/oFYXzPAEiEpoBNbzBi6e+XLfO1HhkYgv9M7WH1HFeX8pR4/PvTKK7UIEQqxOp/929yg/sLOUo89v1JlFXr4O8pQP8wb3T296wN4sQIlYraxFw4QgghHQMFdS3QnMZKVqjw4V9XLFst3cpD4IoIH3cMj/HBPV380CfEu06All1ajVUHr+PXhGzoDKYmHxQuxdyRUYiL8W3xMKqqRoetCTn45tB1S2/S5N6BeGtiV5v2qjDGcDqjDO//cRnnckzDc0FeQrw2vgsm9gqAkZkCz6TsMiRlK3EuuxxXFBWW+WZ8Vy7GdPXH5D6B+OFkFg6nFIHDAV4f3wVP3227nF+ZJVV47PtTyCyphiuXgwX3RGPuyKh6AeTpjFI8ue40VBo9eod4YcOsga3e4osQQghpDQrqWqCpxlIoa7BibzJ+TciBkQGuXA7u6eKHaq0BiooaFChroNLo672ml4iHuBhfDI/2xan0Umw9mwN97S4BQyJleGF0NAZHylpdd1WNDp/+nYKN8RkwMkDs5orXxnfB9IGhVu1NUlbrsD0pF1tOZ+NKfgUAwJ3vgrkjO2H2XRFNDv/mK9XYkZSH387mIKWgss5jQp4LPnukD8Z1l1utro0pqdTgzW0XsfuSaSFA90BPfDqtt2Xu3pFrRXh64xnU6IyIjZBi7RMDm90DSwghhNgKBXUtcGtjFak0OJddjuPXS/DjqUzU6EzDpPf1lOPlcV0Q4VM3nUOVRg9FRQ3O55Rj/9UiHEouREVN/UDvrk4+eH5UNAZFSK1+DBdylHhj2wXL5Pa+oV54476uGBje9HtVavT49Uw2Sqt1kHu6QS4RmIaUPd3gJeLjZFoJfjqTjb8uKiwJfvkuXDzYPwgvjolpUa8gYwyX8iqwLTEXO5LyIHDlYs3M/ugRZNuN5W+tw+/n8/H2josor9aB58LBC6OiEenrgYVbkqA1GBEX44vV/+4PId95E+gSQghpPyioawFzYz317SFcLtEjt1xd5/EBYd54/b6u6B/WvP1F9QYjzmaVY//VQhxLLYa/pwDPjYhC/zDrB3M3MxgZNsZn4NO/U1BZ23t4Txc/vDyuM7oG1D0J1FoDNsZnYM3hNJQ2sNUTYFppe/MWpF3kYjw8MART+wTBuxlbSjWFMQYjg8NWiRaqavDmtovYe7mgzv3je8jx2SN9nHpHBEIIIe0LBXUtYG6skIU/gysQgcMBOvl6oHeIF8Z1l2N018a3TmqLCipq8Pk/1/DT6WwYjAwcjmm+3aIxMfD3dMOPJ7Ow6uB1FFea5uJF+LhjcKQMRaoa5CtrUFBRg+JKU6AnFrhiUp9APDIwBD2DJO2qHW6HMYbtSblYsvMylGodHugXhI8e7GXzRMWEEEJIS1BQ1wLmxvp0VyIGdwlGzyAJxFbaPN2R0our8Onfydh1Ph+AaT6gl4hvCeZCpEI8f0807u8bVC+Q0eqNKK7UQOrOd1i6FHsprtQgWaHCkEgZrWolhBDS5lBQ1wJtYUcJW7qYq8THe5JxqHbrrUCJG+bfE42HBgRbPX0IIYQQQqyruXEKLe3rAHoESbDhyUE4nVGKnLJq3NczgOaMEUIIIU6GgroOZGC49LarYQkhhBDSPlFQB9OEecDUvUkIIYQQ0paY45PbzZijoA5ASUkJACAkJMTBNSGEEEIIaZhKpYJE0nhuVwrqAEilpiHJrKysJhuro6moqEBISAiys7OdcgHJnaJ2aRi1S8OoXRpG7dIwapeGdfR2YYxBpVIhMDCwyXIU1AHgck0rQCUSSYc8WW7H09OT2qUB1C4No3ZpGLVLw6hdGkbt0rCO3C7N6XSifBaEEEIIIU6AgjpCCCGEECdAQR0AgUCAd955BwKBwNFVaVOoXRpG7dIwapeGUbs0jNqlYdQuDaN2aR7aUYIQQgghxAlQTx0hhBBCiBOgoI4QQgghxAlQUEcIIYQQ4gQoqCOEEEIIcQJOE9QdPnwYkyZNQmBgIDgcDrZv317n8YKCAjzxxBMIDAyESCTCvffei2vXrtUpc/36ddx///3w9fWFp6cnpk2bhoKCgjplwsPDweFw6txee+01Wx/eHbNXuwDAH3/8gdjYWAiFQvj4+OCBBx6w5aG1ij3a5eDBg/XOFfPt9OnT9jjMFrPX+ZKSkoIpU6bAx8cHnp6eGDZsGA4cOGDrw7tj9mqXs2fPYsyYMfDy8oJMJsMzzzyDyspKWx/eHVm2bBkGDhwIsVgMPz8/TJ06FcnJyXXKMMawZMkSBAYGQigUYsSIEbh06VKdMhqNBgsWLICPjw/c3d0xefJk5OTk1ClTVlaGmTNnQiKRQCKRYObMmSgvL7f1Id4Re7bL+++/j6FDh0IkEsHLy8vWh9Yq9mqXjIwMzJ49GxERERAKhYiKisI777wDrVZrl+N0NKcJ6qqqqtC7d2989dVX9R5jjGHq1KlIS0vDjh07kJiYiLCwMIwePRpVVVWW548dOxYcDgf79+/HsWPHoNVqMWnSJBiNxjqv9+677yI/P99ye+utt+xyjHfCXu2ydetWzJw5E7NmzcK5c+dw7NgxzJgxw27H2VL2aJehQ4fWOU/y8/Px1FNPITw8HAMGDLDr8TaXvc6XCRMmQK/XY//+/UhISECfPn0wceJEKBQKux1rS9ijXfLy8jB69Gh06tQJJ0+exO7du3Hp0iU88cQT9jzUZjt06BDmzZuHEydOYO/evdDr9Rg7dqzlmAHgo48+wooVK/DVV1/h9OnTkMvlGDNmDFQqlaXMwoULsW3bNmzZsgVHjx5FZWUlJk6cCIPBYCkzY8YMJCUlYffu3di9ezeSkpIwc+ZMux5vc9mzXbRaLR566CE899xzdj3GO2Gvdrl69SqMRiPWrFmDS5cuYeXKlVi9ejXeeOMNux+zQzAnBIBt27bN8ntycjIDwC5evGi5T6/XM6lUyr777jvGGGN79uxhXC6XKZVKS5nS0lIGgO3du9dyX1hYGFu5cqXNj8EWbNUuOp2OBQUFsf/+97/2ORArs+X5cjOtVsv8/PzYu+++a5sDsTJbtUtRUREDwA4fPmwpU1FRwQCwffv22fioWs9W7bJmzRrm5+fHDAaDpUxiYiIDwK5du2bjo2q9wsJCBoAdOnSIMcaY0Whkcrmcffjhh5YyNTU1TCKRsNWrVzPGGCsvL2c8Ho9t2bLFUiY3N5dxuVy2e/duxhhjly9fZgDYiRMnLGXi4+MZAHb16lV7HFqr2KpdbrZu3TomkUhseyBWZo92Mfvoo49YRESEjY6kbXGanrqmaDQaAICbm5vlPhcXF/D5fBw9etRShsPh1Els6ObmBi6Xayljtnz5cshkMvTp0wfvv/9+u+3WtVa7nD17Frm5ueByuejbty8CAgIwfvz4et3m7YW1zxeznTt3ori4uM32vNyOtdpFJpOha9eu2LhxI6qqqqDX67FmzRr4+/ujf//+djwi67BWu2g0GvD5fMte1AAgFAoBoNFzqi1RKpUAAKlUCgBIT0+HQqHA2LFjLWUEAgHi4uJw/PhxAEBCQgJ0Ol2dMoGBgejRo4elTHx8PCQSCWJjYy1lBg8eDIlEYinTltmqXdo7e7aLUqm0vI+z6xBBXZcuXRAWFobXX38dZWVl0Gq1+PDDD6FQKJCfnw/AdJFwd3fHq6++iurqalRVVeHll1+G0Wi0lAGAF154AVu2bMGBAwcwf/58fPbZZ5g7d66jDq1VrNUuaWlpAIAlS5bgrbfewq5du+Dt7Y24uDiUlpY67PjulDXPl5utXbsW48aNQ0hIiD0Px2qs1S4cDgd79+5FYmIixGIx3NzcsHLlSuzevbvNzwtqiLXa5Z577oFCocDHH38MrVaLsrIyy5BRY+dUW8EYw6JFi3DXXXehR48eAGAZSvf3969T1t/f3/KYQqEAn8+Ht7d3k2X8/Pzqvaefn1+bHa43s2W7tGf2bJfr16/jyy+/xLPPPmvtw2iTOkRQx+PxsHXrVqSkpEAqlUIkEuHgwYMYP348XFxcAAC+vr745Zdf8Pvvv8PDwwMSiQRKpRL9+vWzlAGAF198EXFxcejVqxeeeuoprF69GmvXrkVJSYmjDu+OWatdzHOC3nzzTTz44IPo378/1q1bBw6Hg19++cVhx3enrHm+mOXk5GDPnj2YPXu2vQ/HaqzVLowxzJ07F35+fjhy5AhOnTqFKVOmYOLEiW0+eGmItdqle/fu2LBhAz799FOIRCLI5XJERkbC39+/wXOqLZk/fz7Onz+PzZs313uMw+HU+Z0xVu++W91apqHyzXkdR7N1u7RX9mqXvLw83HvvvXjooYfw1FNPta7S7YSroytgL/3790dSUhKUSiW0Wi18fX0RGxtbZ8L62LFjcf36dRQXF8PV1RVeXl6Qy+WIiIho9HUHDx4MAEhNTYVMJrP5cVibNdolICAAANCtWzfLcwQCASIjI5GVlWXfA7ISa58v69atg0wmw+TJk+15GFZnjXbZv38/du3ahbKyMnh6egIAVq1ahb1792LDhg1tejV5Y6x1vsyYMQMzZsxAQUEB3N3dweFwsGLFiiavQY62YMEC7Ny5E4cPH0ZwcLDlfrlcDsDUu2K+RgBAYWGhpTdGLpdbeiVv7n0pLCzE0KFDLWUaWm1fVFRUr1enLbF1u7RX9mqXvLw8jBw5EkOGDMG3335ry0NqWxw0l8+mcMtE5oakpKQwLpfL9uzZ02iZf/75h3E4nCYn4/7+++8MAMvMzLzT6tqNrdpFqVQygUBQZ6GEeVHAmjVrrFJ3W7L1+WI0GllERARbvHixNaprN7Zql507dzIul8tUKlWdcjExMez9999vdb1tzZ7Xl7Vr1zKRSMTKysrusLa2YzQa2bx581hgYCBLSUlp8HG5XM6WL19uuU+j0TQ48f2nn36ylMnLy2twocTJkyctZU6cONFmF0rYq11u1h4WStizXXJyclh0dDR75JFHmF6vt+FRtT1OE9SpVCqWmJhoWS22YsUKlpiYaAm2fv75Z3bgwAF2/fp1tn37dhYWFsYeeOCBOq/x/fffs/j4eJaamso2bdrEpFIpW7RokeXx48ePW143LS2N/fTTTywwMJBNnjzZrsfaEvZoF8YYe+GFF1hQUBDbs2cPu3r1Kps9ezbz8/NjpaWldjvWlrBXuzDG2L59+xgAdvnyZbscW2vYo12KioqYTCZjDzzwAEtKSmLJycnspZdeYjwejyUlJdn1eJvLXufLl19+yRISElhycjL76quvmFAoZJ9//rndjrMlnnvuOSaRSNjBgwdZfn6+5VZdXW0p8+GHHzKJRMJ+++03duHCBTZ9+nQWEBDAKioqLGWeffZZFhwczPbt28fOnj3L7rnnHta7d+86H8b33nsv69WrF4uPj2fx8fGsZ8+ebOLEiXY93uayZ7tkZmayxMREtnTpUubh4WE5R2/9wtQW2KtdcnNzWadOndg999zDcnJy6rxXR+A0Qd2BAwcYgHq3xx9/nDHG2Oeff86Cg4MZj8djoaGh7K233mIajabOa7z66qvM39+f8Xg8Fh0dzT799FNmNBotjyckJLDY2FgmkUiYm5sb69y5M3vnnXdYVVWVPQ+1RezRLoyZeuYWL17M/Pz8mFgsZqNHj66T4qGtsVe7MMbY9OnT2dChQ+1xWK1mr3Y5ffo0Gzt2LJNKpUwsFrPBgwezP//8016H2WL2apeZM2cyqVTK+Hw+69WrF9u4caO9DrHFGmoPAGzdunWWMkajkb3zzjtMLpczgUDAhg8fzi5cuFDnddRqNZs/fz6TSqVMKBSyiRMnsqysrDplSkpK2KOPPsrEYjETi8Xs0UcfbZO9l4zZt10ef/zxBt/rwIEDdjjSlrFXu6xbt67R9+oIOIwx1roBXEIIIYQQ4mgdYvUrIYQQQoizo6COEEIIIcQJUFBHCCGEEOIEKKgjhBBCCHECFNQRQgghhDgBCuoIIYQQQpwABXWEEEIIIU6AgjpCCCGEECdAQR0hhBBCiBOgoI4QQgghxAlQUEcIIYQQ4gQoqCOEEEIIcQIU1BFCCCGEOAEK6gghhBBCnAAFdYQQQgghToCCOkIIIYQQJ0BBHSGEEEKIE3B1dAXaAqPRiLy8PIjFYnA4HEdXhxBCCCHEgjEGlUqFwMBAcLmN98dRUAcgLy8PISEhjq4GIYQQQkijsrOzERwc3OjjFNQBEIvFAEyN5enp6eDaEEIIIaQt0BuMcHVx/Ey1iooKhISEWOKVxlBQB1iGXD09PSmoI4QQQjoQtdaAjJIqZJZUI7OkChm1/2aWVIMxhuOvj3J0FS1uN0WMgjpCCCGEODXGGIoqNUgtqMT1okpcL6rC9aJKpBVVIbdc3eRz1VoDhHwXO9W0dSioI4QQQojTqNLocTFXiZQCFVIKKpFcoMK1AhXKqnWNPkci5CHcxx3hMhHCZHX/deM5fvi1uSioI4QQQki7pdYakJBZhvi0YsRfL8H5HCX0RlavHJcDhEpF6OTngUhfD0T5uiPK1/Sz1J3vgJpbHwV1hBBCCGk3qjR6nM0qw8m0UpxKL0VSdjm0BmOdMoESN3QN8ES0vxid5R6I9hOjk58H3HjtYxj1TlFQRwghhJA2S6nW4XR6KU5llOJkeiku5iphuKUnTu7phiFRMgyJlGFIlAwhUpGDautYDg3qvvnmG3zzzTfIyMgAAHTv3h1vv/02xo8fD8A0sXHp0qX49ttvUVZWhtjYWHz99dfo3r275TU0Gg1eeuklbN68GWq1GqNGjcKqVauazONCCCGEkLaptEqLU+klOJleipNppbiiqAC7ZTQ1yEuI2AgpBkVIERspQ7hMRJsHwMFBXXBwMD788EN06tQJALBhwwZMmTIFiYmJ6N69Oz766COsWLEC69evR0xMDN577z2MGTMGycnJllwtCxcuxO+//44tW7ZAJpNh8eLFmDhxIhISEuDi4tzdrIQQQkh7Zw7i4q+X4ERaKZILVPXKRPq4Y2C4FLGRpkAu2Ltj9sTdDoexW+Nfx5JKpfj444/x5JNPIjAwEAsXLsSrr74KwNQr5+/vj+XLl2POnDlQKpXw9fXFpk2b8PDDDwO4sTvEn3/+iXHjxjXrPSsqKiCRSKBUKilPHSGEEGIjjDFkl6qRlFOOs5llOJFWgquK+kFcjL8HYiNkpp64CCn8PN0cUNu2o7lxSpuZU2cwGPDLL7+gqqoKQ4YMQXp6OhQKBcaOHWspIxAIEBcXh+PHj2POnDlISEiATqerUyYwMBA9evTA8ePHGw3qNBoNNBqN5feKigrbHRghhBDSQRVXanAuu9x0y1HifE55g6lFOvuLMThSisGRpkBO5iFwQG3bP4cHdRcuXMCQIUNQU1MDDw8PbNu2Dd26dcPx48cBAP7+/nXK+/v7IzMzEwCgUCjA5/Ph7e1dr4xCoWj0PZctW4alS5da+UgIIYSQjktnMOJqvgpns8qQmFWGs1nlyCqtrleO78JF1wAxeod4WYI4HwrirMLhQV3nzp2RlJSE8vJybN26FY8//jgOHTpkefzWiY+MsdtOhrxdmddffx2LFi2y/G7eU40QQgght8cYQ06ZGudyypGUVY6k7HJczFOiRmesV7aTnwf6hHihd7AEvUO80FkuhsCV5rzbgsODOj6fb1koMWDAAJw+fRqff/65ZR6dQqFAQECApXxhYaGl904ul0Or1aKsrKxOb11hYSGGDh3a6HsKBAIIBPStgBBCCLkdxhgUFTW4mFuBi7lKXMxV4lxOOYortfXKerq5om+oN/qFeqNvqBd6h3hBIuQ5oNYdk8ODulsxxqDRaBAREQG5XI69e/eib9++AACtVotDhw5h+fLlAID+/fuDx+Nh7969mDZtGgAgPz8fFy9exEcffeSwYyCEEELaq8KKGiTWzoO7mFeBS7lKlFTVD+B4Lhx0DfBE72AvU09ciBcifdzB5VJqEUdxaFD3xhtvYPz48QgJCYFKpcKWLVtw8OBB7N69GxwOBwsXLsQHH3yA6OhoREdH44MPPoBIJMKMGTMAABKJBLNnz8bixYshk8kglUrx0ksvoWfPnhg9erQjD40QQghp85TVOlzOr8D5HNMQalJ2OfKVNfXKuXA5iPbzQI8gCboHeqJ3iBe6BXg6/Q4N7Y1Dg7qCggLMnDkT+fn5kEgk6NWrF3bv3o0xY8YAAF555RWo1WrMnTvXknz477//tuSoA4CVK1fC1dUV06ZNsyQfXr9+PeWoI4QQQmoxxpBbrsblvApczq/A5bwKXMqrQG65ul5ZLgeI8RejT4gXegZL0CNQgs5yMQVw7UCby1PnCJSnjhBCiLPQ6o1IKVBZArgrtbeKGn2D5YO9hegRKEGfUC/0DvZCr2AJ3AVtbnZWh9bu8tQRQgghpOUKKmpwNrMMZ2vTiFzIVUKrr78KlefCQZSvB7oHStAt0BPdAz3RVe4JiYgWMjiLZgV13t7ezd5TrbS0tFUVIoQQQkjjClU1OJZajCPXinEyrbTBIVSJkIduAZ7oFuiJrgGe6BbgiU5+HuC7ch1QY2IvzQrqPvvsM8vPJSUleO+99zBu3DgMGTIEABAfH489e/bg//7v/2xSSUIIIaSjqtbqcSq9FEevFeNoanG9bbXMc+D6hZlSifQL9UKEjzttcN8BtXhO3YMPPoiRI0di/vz5de7/6quvsG/fPmzfvt2a9bMLmlNHCCGkrdAZjDiXXY5jqSU4dr0YiVll0BnqflT3CPLEsE4+uKuTD/qGesOD5sA5tebGKS0O6jw8PJCUlGRJGGx27do19O3bF5WVlXdWYweioI4QQoijGI0Ml/MrEH+9BPFpJTiZVoIqraFOmSAvIe7q5IO7on0wrJMPpO58B9WWOILNFkrIZDJs27YNL7/8cp37t2/fDplM1vKaEkIIIR2IzmBanXomowzHrxfjRFoplOq6m9x7i3gYGmUK4IZ1kiFUKqLhVHJbLQ7qli5ditmzZ+PgwYOWOXUnTpzA7t278d///tfqFSSEEELaK4ORIb24EueylbhQu73W5bwKaG5ZneohcMWgCCmGRskwOFKGbgGetDMDabEWB3VPPPEEunbtii+++AK//fYbGGPo1q0bjh07htjYWFvUkRBCCGnzilQaJCtUuKqowFWFCskKFVIKVPUCOAAQC1zRO8QLQ6JkGBolQ88gCVxdaGUqaR1KPgyaU0cIIaT5KjV6S8CWfFPw1tD+qAAg5LmgR5AnegZ5oXeIBD2DJAiX0R6ppPlsmnzYaDQiNTUVhYWFMBrrfgMZPnz4nbwkIYQQ0qZo9UakFVdaAjdTL5yqwbxwAMDhAOEyd3SRi9FZLkYXuRhd5J4IkYrgQgEcsYMWB3UnTpzAjBkzkJmZiVs7+TgcDgwGQyPPJIQQQtompVqHK7V7ol7ON+2LmlqoqpdKxMzfU4DOck909vdAjL8peOvk5wEhn/ZHJY7T4qDu2WefxYABA/DHH38gICCAVuMQQghpFxhjKFJpcL2oCteLKmtvVbheWNlo75tY4IqYm3reOvubfvYSUUoR0va0OKi7du0afv3113p56gghhBBHMRoZytU6FKpqUKTSIF9Zg/zyGuSVq5GnVJv+La+BWtf4aFKQlxDdAj0t22t1C/BEsLeQOi9Iu9HioC42NhapqakU1BFCCLE5tdaAgooaFFTUoLhSiyKV+V8Niis1KKrUoEhluumNt1/3x+UAIVIRonw9EOXrjkhfD0T6uKMLbWxPnECLg7oFCxZg8eLFUCgU6NmzJ3i8un8EvXr1slrlCCGEOC/GGMqqdcgqrTbdSqqQVVqNfKUpiFMoa1BRo2/Ra3qLePATu8HPU4BAiRCBXkIEernV/itEgMQNbjya90acU4tTmnC59fPocDgcMMba7UIJSmlCCCG2UaMzQKGsQWZt4JZdWo2skhs/qzS3D9pEfBf4e7rB10MAHzEfPh6C2p8F8PEQwE8sgG/tz3xXyvVGnI/NUpqkp6e3qmKEEEKar0ZnGn4sUmmgVOtQUaODsloHpVoPpVoHtU6PGp0RNToDanQGaPTmn42o0RugueWxxr7Fu3A54HE5cHXhgufCBc+FA1cXDnhc0++uLpwb93O54HAALodT51+DkaFCrYOqRo+KGh0q1HpoDfUT795K7umGUKkIoTIRQrxFCPIWQu7pBn9PAfwlbhALXGleGyHN0OKgLiwszBb1IISQDqlGZ0BmSTXSi6uQXlyF7LJqKJQ1yFfWQKFUo6xad/sXsQKDkcGUOtf6oy0CVy5CpSKEyUQIkYpu/Oxt+p2GQwmxjjtKPrxp0yasXr0a6enpiI+PR1hYGD777DNERERgypQp1q4jIYS0a1q9Edll1cioDdzSi6uQUVKFjOJq5CnVuN0kGCHPBb5iAbxEPEiEPHgKefB0M/3sIXCBwNUFbjwuBDwXCFy5lt+FPBe4WW6m+xvKgcsA6I0MeoMROgODzmCE3sCgM9b+azDeuM9ghM7IwBgDY4Dxpn9duByI3XjwdHOFp5AHsflf6mkjxC5aHNR98803ePvtt7Fw4UK8//77ljl0Xl5e+OyzzyioI4R0SKoaHTJr54pllVYjs6R2/lhpNXLL1TA0sTJT7OaKSB93hPu4I0wqQoCXEHKJGwIkbgjwFMJTSEERIeT2WhzUffnll/juu+8wdepUfPjhh5b7BwwYgJdeesmqlSOEkLZGrTXgiqICqQWVSClQIaWwEqkFKuQpa5p8nojvgnCZOyJ83BHuI7L8HOHjDqk7n4I2Qkir3dFCib59+9a7XyAQoKqqyiqVIoSQtiJfqcaZjDIkZJbhbFYZLudVNJoPzceDb5rwLxUhVOZu+TlMJoKfWECBGyHEploc1EVERCApKanegom//voL3bp1a9FrLVu2DL/99huuXr0KoVCIoUOHYvny5ejcubOlDGMMS5cuxbfffouysjLExsbi66+/Rvfu3S1lNBoNXnrpJWzevBlqtRqjRo3CqlWrEBwc3NLDI4R0YDqDEVfyK5CQWRvEZZY12APnKxagi1yMTn6mfT9j/D3QyVdMyWsJIQ7V4qDu5Zdfxrx581BTUwPGGE6dOoXNmzdj2bJl+O9//9ui1zp06BDmzZuHgQMHQq/X480338TYsWNx+fJluLu7AwA++ugjrFixAuvXr0dMTAzee+89jBkzBsnJyRCLxQCAhQsX4vfff8eWLVsgk8mwePFiTJw4EQkJCXBxoVVVhJC6jEaGQpXGMv/telElErPKcC5bWW8bKRcuB90CPNE/zBv9wrzRP8wbgRI36nUjhLQ5LU4+DADfffcd3nvvPWRnZwMAgoKCsGTJEsyePbtVlSkqKoKfnx8OHTqE4cOHgzGGwMBALFy4EK+++ioAU6+cv78/li9fjjlz5kCpVMLX1xebNm3Cww8/DADIy8tDSEgI/vzzT4wbN67e+2g0Gmg0GsvvFRUVCAkJoeTDhDgBjd6U7LZQdWP7KPOWUgUVNcguUyO7tBoafcP50zzdXNG/NnjrF+aNPiFeEPHvKFEAIYRYhU2SD+v1evzwww+YNGkSnn76aRQXF8NoNMLPz6/VFQYApVIJAJBKpQBM8/cUCgXGjh1rKSMQCBAXF4fjx49jzpw5SEhIgE6nq1MmMDAQPXr0wPHjxxsM6pYtW4alS5dapc6EEPuq0RmQW65GbpkaueVq5JRVI6fM9HtOmRoFqprbpggBTD1wQV5ChEpNudJ6B0vQP8wbUb4e4DaU94MQQtq4FgV1rq6ueO6553DlyhUAgI+Pj9UqwhjDokWLcNddd6FHjx4AAIVCAQDw9/evU9bf3x+ZmZmWMnw+H97e3vXKmJ9/q9dffx2LFi2y/G7uqSOEOJ5Wb0Ruuak3LbusGtmlamTfFLgVV2pu+xpuPC7knm6m7aRqt5AybysV7C1EmNQdAV5u4LnQllKEEOfR4jGF2NhYJCYmWn1nifnz5+P8+fM4evRovcdunbti3me2KU2VEQgEEAgEd15ZQsgdY4wht1yN60VVtb1tNwK23HI1FBW372lz57sgyFuIIC8hgryFCPEWIdhbhGBvIYK9hZQihBDSIbU4qJs7dy4WL16MnJwc9O/f37KgwaxXr14trsSCBQuwc+dOHD58uM6KVblcDsDUGxcQEGC5v7Cw0NJ7J5fLodVqUVZWVqe3rrCwEEOHDm1xXQgh1sGYaTFCSoEKKQWVSFGokFygwrUCFaq0TW9F5cbjWraQCvEWIkRaN2iTCHkUtBFCyC2aHdQ9+eST+OyzzyyLEZ5//nnLYxwOx9IzZt5hojkYY1iwYAG2bduGgwcPIiIios7jERERkMvl2Lt3ryU3nlarxaFDh7B8+XIAQP/+/cHj8bB3715MmzYNAJCfn4+LFy/io48+anZdCCF3xhy8XSuoxLVCUwB3rUCFlAIVKmr0DT6H58JBuMwdIVIRgrxMgVqQtxDB3qbffTyop40QQlqq2UHdhg0b8OGHHyI9Pd1qbz5v3jz8+OOP2LFjB8RisWUOnEQigVAoBIfDwcKFC/HBBx8gOjoa0dHR+OCDDyASiTBjxgxL2dmzZ2Px4sWQyWSQSqV46aWX0LNnT4wePdpqdSWkI2OMQanWIadMjbxyNdKLq5BaWInUokqkFlRCpWk4eONygHCZO6L9PdBZ7okYfw909hcj3Med5rMRQoiVNTuoM2c+seZcum+++QYAMGLEiDr3r1u3Dk888QQA4JVXXoFarcbcuXMtyYf//vtvS446AFi5ciVcXV0xbdo0S/Lh9evXU446QhphNDJU1OhQWqVFWbUWZVU6KNV1bxVqHUqqtMgrN811q25iyJTLAcJk7rXJeE0JeaP9xIj0dYcbj/4OCSHEHpqdp47L5aKgoAC+vr62rpPdNTf/CyFtndHIUFypQXaZGgUVNbU3jeXnQpUGpVValFdr0cT+8o3y8eAjyMs0x62Tnwc6+Xkg2k+McB8RBK4UvBFCiC3YJE9dTEzMbee5lJaWtuQlCSEtYA7acspv5GXLKatGdtmNfG3aRpLqNkQscIWXOw/eIj4kQh48hTxIbrp5i3gI9DKtMg30ElKvGyGEtGEtCuqWLl0KiURiq7oQQgAoq3WW7auyy2r/La1N+1F++6CNywECJEIESNzg7+kGP08B/D3d4O8pgJ/YDTIPPqQiPrxEfPBdaV4bIYQ4ixYFdY888ojVdo8gpKNijKGkSous0mpkllQhvdj0b0ZxFTJKqqFU65p8PpcDyD3dTCtFa1N8hNSm+wiRiiCXUFJdQgjpiJod1FF6AUKar1KjR2ZJFTJLTD1t5qFR83Bpja7p3jZfscC0fZX3jW2szHnaKGgjhBDSkBavfiWEmOa2KSpqkF16Y3g0u0xtCeRKqrRNPp/DAfzFbgj3ESFc5o5wH/faf0UIlYpoA3lCCCEt1uxPDqOx+ZOvCXEGVRo90ourkFM7r80UvKkt89u0hqb/JqTufITJRLU9bubdEEz/Bni50WpRQgghVkXdAaTDMxgZskqrcTW/AlcUKlzNr0BygQqZJdVNPs+Vy0HQTcOjId6mAC5MZrqJ3Xh2OgJCCCGEgjrSgRiNDHlKdb29SFMLK6FpZEWpzJ2PEGltb5u0bgAXIHGDK81tI4QQ0kZQUEecjlKtQ2ZJFdKKqpBWVInrxaaf04srG12g4MbjIsZfjC5yMbrIPdFFLkZnuRgyD4Gda08IIYTcGQrqSLujMxihUNZY8rZllZhSgWTWpggpr248JQjPhYNIHw/EyMXo7O+BaH8xOvuLESIVwYVLK7wJIYS0XxTUkTanRmew7DeaU2baOSHXsoNCNRQVNbfd4srHQ4BIH3dE+tbefDwQ6euOEKmI0oEQQghxShTUEZtgjEGl0aO00rRhfKVGj8oaPVQ1eqg0eqhqdKhQ61FebXq8XK1DebXO9HMTPW1mfBcugryFln1Iw2XmBQruCJWK4C6gU5sQQkjHQp98pEUMRoaSSg0UFTVQKE2bxOcra6CoqEGRSoPiSi1KqzQoq9LdNuVHU0R8FwR5CS2BW9BN6UCCvYTw8RCAS8OlhBBCiAUFdR0cYwxagxFKtQ6lVVqUVmpRUqVFaZXp3yKVBkWqGhRUaFCoMgVutxv6vJmI7wJvER9iN1eI3VzhIXCF2I0HDzdXeLqZNoz3EvHgJeLDW8SHl4gHXw8BvEQ82sWEEEIIaQEK6tqQGp0BVRo9dAYGrd4IrcEIrd4IncH0c43OALXWALXOcNPPpvtr9AZozD/rDLXPZdAZjJab1sCg0ZmeX601oEZrQLXOAENLojSY9h71FQsg93SDXOIGuacb/CVu8K/dLF7mLoDUgw+ZOx9uPEqwSwghhNgDBXVtyPrjGfjwr6sOeW8OB/AW8SF1N91k7nx4u/Ph6yGAv6cb/D0F8BOb/pV5CGilKCGEENLGUFDXhphXZfJcOOC5cMF35Zr+rf3ZjecCIY8LId8Fbq4ucKv9V8jnmn7nuUBQW07AMz2P58IFz5ULHvfGa4r4LhDyXSDkuUDEd4WQ7wIPgSsFaoQQQkg7xmGMtWzszQlVVFRAIpFAqVTC09PTYfUwGBk4AC0AIIQQQohFc+MU6qmDabEAYGo0QgghhJC2xByf3K4fjoI6ACUlJQCAkJAQB9eEEEIIIaRhKpUKEomk0ccpqAMglUoBAFlZWU02VkdTUVGBkJAQZGdnO3RYuq2hdmkYtUvDqF0aRu3SMGqXhnX0dmGMQaVSITAwsMlyFNQB4HJNCxQkEkmHPFlux9PTk9qlAdQuDaN2aRi1S8OoXRpG7dKwjtwuzel0ok0wCSGEEEKcAAV1hBBCCCFOgII6AAKBAO+88w4EAoGjq9KmULs0jNqlYdQuDaN2aRi1S8OoXRpG7dI8lKeOEEIIIcQJUE8dIYQQQogToKCOEEIIIcQJUFBHCCGEEOIEKKgjhBBCCHECFNQRQgghhDgBpwnqDh8+jEmTJiEwMBAcDgfbt2+v83hBQQGeeOIJBAYGQiQS4d5778W1a9fqlLl+/Truv/9++Pr6wtPTE9OmTUNBQUGdMuHh4eBwOHVur732mq0P747Zq10A4I8//kBsbCyEQiF8fHzwwAMP2PLQWsUe7XLw4MF654r5dvr0aXscZovZ63xJSUnBlClT4OPjA09PTwwbNgwHDhyw9eHdMXu1y9mzZzFmzBh4eXlBJpPhmWeeQWVlpa0P744sW7YMAwcOhFgshp+fH6ZOnYrk5OQ6ZRhjWLJkCQIDAyEUCjFixAhcunSpThmNRoMFCxbAx8cH7u7umDx5MnJycuqUKSsrw8yZMyGRSCCRSDBz5kyUl5fb+hDviD3b5f3338fQoUMhEong5eVl60NrFXu1S0ZGBmbPno2IiAgIhUJERUXhnXfegVartctxOprTBHVVVVXo3bs3vvrqq3qPMcYwdepUpKWlYceOHUhMTERYWBhGjx6Nqqoqy/PHjh0LDoeD/fv349ixY9BqtZg0aRKMRmOd13v33XeRn59vub311lt2OcY7Ya922bp1K2bOnIlZs2bh3LlzOHbsGGbMmGG342wpe7TL0KFD65wn+fn5eOqppxAeHo4BAwbY9Xiby17ny4QJE6DX67F//34kJCSgT58+mDhxIhQKhd2OtSXs0S55eXkYPXo0OnXqhJMnT2L37t24dOkSnnjiCXsearMdOnQI8+bNw4kTJ7B3717o9XqMHTvWcswA8NFHH2HFihX46quvcPr0acjlcowZMwYqlcpSZuHChdi2bRu2bNmCo0ePorKyEhMnToTBYLCUmTFjBpKSkrB7927s3r0bSUlJmDlzpl2Pt7ns2S5arRYPPfQQnnvuObse452wV7tcvXoVRqMRa9aswaVLl7By5UqsXr0ab7zxht2P2SGYEwLAtm3bZvk9OTmZAWAXL1603KfX65lUKmXfffcdY4yxPXv2MC6Xy5RKpaVMaWkpA8D27t1ruS8sLIytXLnS5sdgC7ZqF51Ox4KCgth///tf+xyIldnyfLmZVqtlfn5+7N1337XNgViZrdqlqKiIAWCHDx+2lKmoqGAA2L59+2x8VK1nq3ZZs2YN8/PzYwaDwVImMTGRAWDXrl2z8VG1XmFhIQPADh06xBhjzGg0Mrlczj788ENLmZqaGiaRSNjq1asZY4yVl5czHo/HtmzZYimTm5vLuFwu2717N2OMscuXLzMA7MSJE5Yy8fHxDAC7evWqPQ6tVWzVLjdbt24dk0gktj0QK7NHu5h99NFHLCIiwkZH0rY4TU9dUzQaDQDAzc3Ncp+Liwv4fD6OHj1qKcPhcOpkq3ZzcwOXy7WUMVu+fDlkMhn69OmD999/v91261qrXc6ePYvc3FxwuVz07dsXAQEBGD9+fL1u8/bC2ueL2c6dO1FcXNxme15ux1rtIpPJ0LVrV2zcuBFVVVXQ6/VYs2YN/P390b9/fzsekXVYq100Gg34fD643BuXZaFQCACNnlNtiVKpBABIpVIAQHp6OhQKBcaOHWspIxAIEBcXh+PHjwMAEhISoNPp6pQJDAxEjx49LGXi4+MhkUgQGxtrKTN48GBIJBJLmbbMVu3S3tmzXZRKpeV9nF2HCOq6dOmCsLAwvP766ygrK4NWq8WHH34IhUKB/Px8AKaLhLu7O1599VVUV1ejqqoKL7/8MoxGo6UMALzwwgvYsmULDhw4gPnz5+Ozzz7D3LlzHXVorWKtdklLSwMALFmyBG+99RZ27doFb29vxMXFobS01GHHd6eseb7cbO3atRg3bhxCQkLseThWY6124XA42Lt3LxITEyEWi+Hm5oaVK1di9+7dbX5eUEOs1S733HMPFAoFPv74Y2i1WpSVlVmGjBo7p9oKxhgWLVqEu+66Cz169AAAy1C6v79/nbL+/v6WxxQKBfh8Pry9vZss4+fnV+89/fz82uxwvZkt26U9s2e7XL9+HV9++SWeffZZax9Gm9Qhgjoej4etW7ciJSUFUqkUIpEIBw8exPjx4+Hi4gIA8PX1xS+//ILff/8dHh4ekEgkUCqV6Nevn6UMALz44ouIi4tDr1698NRTT2H16tVYu3YtSkpKHHV4d8xa7WKeE/Tmm2/iwQcfRP/+/bFu3TpwOBz88ssvDju+O2XN88UsJycHe/bswezZs+19OFZjrXZhjGHu3Lnw8/PDkSNHcOrUKUyZMgUTJ05s88FLQ6zVLt27d8eGDRvw6aefQiQSQS6XIzIyEv7+/g2eU23J/Pnzcf78eWzevLneYxwOp87vjLF6993q1jINlW/O6ziardulvbJXu+Tl5eHee+/FQw89hKeeeqp1lW4nXB1dAXvp378/kpKSoFQqodVq4evri9jY2DoT1seOHYvr16+juLgYrq6u8PLyglwuR0RERKOvO3jwYABAamoqZDKZzY/D2qzRLgEBAQCAbt26WZ4jEAgQGRmJrKws+x6QlVj7fFm3bh1kMhkmT55sz8OwOmu0y/79+7Fr1y6UlZXB09MTALBq1Srs3bsXGzZsaNOryRtjrfNlxowZmDFjBgoKCuDu7g4Oh4MVK1Y0eQ1ytAULFmDnzp04fPgwgoODLffL5XIApt4V8zUCAAoLCy29MXK53NIreXPvS2FhIYYOHWop09Bq+6Kionq9Om2JrdulvbJXu+Tl5WHkyJEYMmQIvv32W1seUtvioLl8NoVbJjI3JCUlhXG5XLZnz55Gy/zzzz+Mw+E0ORn3999/ZwBYZmbmnVbXbmzVLkqlkgkEgjoLJcyLAtasWWOVutuSrc8Xo9HIIiIi2OLFi61RXbuxVbvs3LmTcblcplKp6pSLiYlh77//fqvrbWv2vL6sXbuWiUQiVlZWdoe1tR2j0cjmzZvHAgMDWUpKSoOPy+Vytnz5cst9Go2mwYnvP/30k6VMXl5egwslTp48aSlz4sSJNrtQwl7tcrP2sFDCnu2Sk5PDoqOj2SOPPML0er0Nj6rtcZqgTqVSscTERMtqsRUrVrDExERLsPXzzz+zAwcOsOvXr7Pt27ezsLAw9sADD9R5je+//57Fx8ez1NRUtmnTJiaVStmiRYssjx8/ftzyumlpaeynn35igYGBbPLkyXY91pawR7swxtgLL7zAgoKC2J49e9jVq1fZ7NmzmZ+fHystLbXbsbaEvdqFMcb27dvHALDLly/b5dhawx7tUlRUxGQyGXvggQdYUlISS05OZi+99BLj8XgsKSnJrsfbXPY6X7788kuWkJDAkpOT2VdffcWEQiH7/PPP7XacLfHcc88xiUTCDh48yPLz8y236upqS5kPP/yQSSQS9ttvv7ELFy6w6dOns4CAAFZRUWEp8+yzz7Lg4GC2b98+dvbsWXbPPfew3r171/kwvvfee1mvXr1YfHw8i4+PZz179mQTJ0606/E2lz3bJTMzkyUmJrKlS5cyDw8Pyzl66xemtsBe7ZKbm8s6derE7rnnHpaTk1PnvToCpwnqDhw4wADUuz3++OOMMcY+//xzFhwczHg8HgsNDWVvvfUW02g0dV7j1VdfZf7+/ozH47Ho6Gj26aefMqPRaHk8ISGBxcbGMolEwtzc3Fjnzp3ZO++8w6qqqux5qC1ij3ZhzNQzt3jxYubn58fEYjEbPXp0nRQPbY292oUxxqZPn86GDh1qj8NqNXu1y+nTp9nYsWOZVCplYrGYDR48mP3555/2OswWs1e7zJw5k0mlUsbn81mvXr3Yxo0b7XWILdZQewBg69ats5QxGo3snXfeYXK5nAkEAjZ8+HB24cKFOq+jVqvZ/PnzmVQqZUKhkE2cOJFlZWXVKVNSUsIeffRRJhaLmVgsZo8++mib7L1kzL7t8vjjjzf4XgcOHLDDkbaMvdpl3bp1jb5XR8BhjLHWDeASQgghhBBH6xCrXwkhhBBCnB0FdYQQQgghToCCOkIIIYQQJ0BBHSGEEEKIE6CgjhBCCCHECVBQRwghhBDiBCioI4QQQghxAhTUEUIIIYQ4AQrqCCGEEEKcAAV1hBBCCCFOgII6QgghhBAnQEEdIYQQQogToKCOEEIIIcQJUFBHCCGEEOIEKKgjhBBCCHECFNQRQgghhDgBV0dXoC0wGo3Iy8uDWCwGh8NxdHUIIYQQQiwYY1CpVAgMDASX20R/HGtjDh06xCZOnMgCAgIYALZt27Ymy2/dupWNHj2a+fj4MLFYzAYPHsx2797dovfMzs5mAOhGN7rRjW50oxvd2uwtOzu7yXimzfXUVVVVoXfv3pg1axYefPDB25Y/fPgwxowZgw8++ABeXl5Yt24dJk2ahJMnT6Jv377Nek+xWAwAyM7OhqenZ6vqTwghhBBiTRUVFQgJCbHEK43hMMaYnerUYhwOB9u2bcPUqVNb9Lzu3bvj4Ycfxttvv92s8hUVFZBIJFAqlQ4N6gxGhgNXCxHh644oXw+H1aMtOpZaDE83HnoEedIQeS3GGI5cK4bMg49uAdQuZowxHEwpQqBEiBh/D2qXWkYjw4HkQoTJROjk1/QHQ0dz/Hox3Pmu6BUsofPlJkeuFcFbxEf3QLq+mDHGcCilCP6ebugit9+UrebGKW2up661jEYjVCoVpFJpo2U0Gg00Go3l94qKCntU7bY2HM/Au7suAwCi/Twwrrsc9/aQd/g/qAPJhZi17jQAIMhLiLHd/XFvdzkGhEvhwu247fLXRQXm/nAWABAiFeLe2vOlb4g3uB24XbaezcVLv5wDAITLRBjXQ457u8vRO9irQ7fLDycz8X87LgEAonzdcW8POe7tHtDhvygdvVaMf689CQAIlLhhbHc5xnWXY2C4N1xdOu5awr8vKfDMpgQApuvuvT1M15d+od4d+rq781weXtiSBAAIk4lwb3c5xnaXo29I27i+OF1P3ccff4wPP/wQV65cgZ+fX4NllixZgqVLl9a739E9deM/P4Ir+fUDTPMf1HMjouDjIXBAzRxr3g9n8ceF/Hr3y9z5GNvdH88Mj0KEj7sDauZYs9adwoHkonr3+4oFGNvNH8/GRSFEKnJAzRzr4TXxOJleWu9+uacbxnX3x7MjohAgETqgZo41+aujOJ+jrHe/+YvScyOi4Cd2c0DNHOuFLYnYkZRX736pOx9juvrjmbjIDjly8vTGM9h7uaDe/T4eAozp5o/n4qIQKut415d///ckjqYW17vfTyzAuO5yPDsiCkFe1r++dMieus2bN2PJkiXYsWNHowEdALz++utYtGiR5XfzWLUjpRSocCW/AjwXDvYvHoGEzDLsuaTAweQi5JarsfZoOtQ6Az64v6dD62lvqhod9l0xXVi2PjcEJZVa7LlUgH1XClBSpcXmU9nIKK7G5mcGO7im9lVSqcHha6YLy64FdyGnrBq7Lyrwz9VCFKk0+OFkFhTKGqx9YqCDa2pfeeVqnMowBXR7XxyO5AIV9lwqwP4rBVBU1GBDfCZKqrT4akY/B9fUvtKKKnE+RwkXLgf7F8chKbscey4pcOCq6fqy7lgGqjR6fPSv3o6uql1Va/X4+5Lp+rLlmcGorNFj9yUF9l0pQGmVFj+dyUZacSV+eXaog2tqX8pqHQ4mFwIAdswbhnxlDf6ubZfiSg02n8pCbrkaG58c5OCa2ldhRQ2OXzddd3cvvBtpRVXYfVGBA1cLUajSYNOJTBSpNFg9s7/D6ug0Qd1PP/2E2bNn45dffsHo0aObLCsQCCAQtK0erx1JuQCAuBg/hEhFCJGKMLVvENRaA344mYn3/riCg1cLwRjrUEMley4VQKM3IsrXHf1CvcHhcDC2uxw6gxH7rxZizqYEnM4ohapGB7Ebz9HVtZs/L+TDYGToGSRBj9rbvT0CoNUb8dfFfLywJQnHrhejRmeAG8/F0dW1m9/P5YExYFCEFNH+YkT7izGxVyBqdAbsSMrFq1sv4HBKEfQGY4caWjP3RN0d7YMwmTvCZO6Y0icINToDtpzKwpLfL+NgclGHu77svVwAtc6AMJkIsRFScDgcjO7mD73BiEMpRZi94QwSMsugrNZBIupA15eL+dAZGLrIxegd4oXeIcC9PeTQ6o3Ye7kA8348ixNpJVBrDRDyO9D15Xw+jAzoF+qFLnJPdJF74r6eAdDoDfj9XD5e+uUcjqYWQ2cwgueg64tTXNU2b96MJ554Aj/++CMmTJjg6Oq0GGPMctGd2jewzmNCvgsejQ0D35WLPGUNrhdVOqKKDmMOdqf2CarzYcNz4WJcdznCZSLojQzx10scVUWHMJ8vU/rUPV/4rlxM7h0If08BanRGnMkoc0T1HMbyd9QnqM79bjwX/Kt/CCRCHipq9DjXwDCks2KMYee5xttlemwohDwXFKo0uKpQOaKKDnPj76ju9cXVhYtRXf3Ryc8DRgYcu15/uM2ZWa67feueL3xXLu7rKUeQlxBavREn0jvWdXdnI+0icHXBA32DIHPno1Kjx9lMx11377in7osvvmh22eeff77ZZSsrK5Gammr5PT09HUlJSZBKpQgNDcXrr7+O3NxcbNy4EYApoHvsscfw+eefY/DgwVAoFAAAoVAIiUTS7Pd1pLNZ5cgpU8Od74JRXfzrPS7kuyA2Qooj14pxMLmow6xcK1JpcKx27sLkW4IXs7gYX2TEZ+JQShHGdpfbs3oOk11ajTOZZeBwgEm967cLh8PB8Ghf/JKQg0Mphbgr2scBtbS/awUqXK6dwjC+R/1zwYXLwV3RPvjjfD4OpRShf5i3A2ppfxdylUgvroIbj4sx3epfXwSuLhgSJcP+q4U4lFKErgEdI61TaZUWh1NMc1InN/B3BJiuL6mFlTiUXIT7egbYs3oOk69UW+akNnp9ifHF5lNZOJRchJGdG5/q5EzSi6twrnYKQ0PnApfLwd3RPtielIdDKUWIjZQ5oJatCOpWrlzZrHIcDqdFQd2ZM2cwcuRIy+/muW+PP/441q9fj/z8fGRlZVkeX7NmDfR6PebNm4d58+ZZ7jeXbw/M34rGdZc32pUdF+OLI9eKcSilCE/dHWnP6jnMrvN5MDKgT4gXwmQNL4QYHuOLDbVBXUcZOjL3ugyJlMHfs+GJ7cNjzEFdEd5sf53Xd8Tc6xIX4wtvd36DZeKifS1B3aIxMfasnsNsTzS1y5hucrgLGr7kD4/2MQV1yUV4Ni7KntVzmD8u5ENvZOgR5IlOfg0vhBge44u1R9M71PXFMoUhXNrohP+4GB9sPpVlCYo7AvPn9F2dfBpdsDg8xtcS1L1ybxd7Vs/ijoO69PR0a9bDYsSIEWhqQe6tgdrBgwdtUg970RmM+OO8aWXnlFu6dG8WF+OL9/64glPppR1mntSNobSGv0UDwOBIGfguXOSUqZFeXIXIDrBKbWcjQ4w3u6uTD7gcIKWgEvlKtdOv9mSMYcc500V3ShPtMjzGFwBwPqccZVXaRoM/Z2EwMvx+/vZ/R3Gd/YDfL+NMZimqNPpGgz9nsvOmqR2NiY2QQuDKhaKiBtcKKxHj7/yjJJYh6b6Nny9DO/nAhctBWnEVskurnX6VPWPsxnW3iXa5O9p0fbmUV4EilQa+YvvP3XeKOXXt2dHUYpRUaeHjwcewqMa7azv5eSBQ4gaN3ogTac4/jyGjuApJ2eVw4XIwoVfjf0TuAlcMjDANox3qAN8ar+RXILlABb4LF+MaGGI083bno3eIFwB0iG/TZ7PKkV1qmsIwumv9IUYzucSUMJQx4EgDaQmcTfz1EhSpNPAS8SwfOA0Jl4kQKhVBZ+gY81NzyqpxOsM0hWFiE9cXN54LBtcOox1qIH2Qs0ktVOFSXgVcuRzc16Px4WZPNx76h3ac6+6FXCXSLFMYGr/u+ooF6BFkmr5w5Jpj2sVqQV1OTg5WrVqF1157DYsWLapzI40zR/8TewU2uRrPPI8BAA6nOP+HkXmIcVgnn9t+2xle+2HVES4u5m/R93Txg0TY9Gq8jtQuO5sxhcHsxt+R87eLechoQs8A8F1vd30xzb087KAPI3u6eQqDXNJ0bj7L+dIB2sV8fRnRufEpDGaW86VD/B3dmMLgcZtebPN111HtYpWg7p9//kHnzp2xatUqfPrppzhw4ADWrVuH77//HklJSdZ4C6dUrdVjzyXTwo7GFgLcLC7G/CFdaNN6ORpjDNtrP4ymNDKB+WZxnU3tciKtBDU6g03r5khGI7MEL7euem2IuV2OXiuG3mC0ad0cSWcwYlftFIaW/R0VNTnVo72r0Rmw+6Lp+tLUkLRZXIxpwntH+BKwI7Hh1eMNMZ8vJ9NKUa3V27RejnRzFobJLThfjl8vgVbvvNcXg5Hh99ovAc36PLJ8CSiG0Wj/64tVgrrXX38dixcvxsWLF+Hm5oatW7ciOzsbcXFxeOihh6zxFk5p35VCVGsNCJWK0Ld2qKwp5nkM14uqkFNWbfsKOsilvAqkFVVB4Nr0EKNZZ3+xJYXH6Yz6Owk4izOZZchT1kAscMXILrdfcdY72OumFB7ltq+ggxyrncIgc+fjrk63X+k7INwbQp4LilQaXMl33hQeB64WQqXRI8hLiAHNWOk7JEoGngsHmSXVyCiuskMNHeOq4sYUhnubGGI0i/J1N6XwMBhxMs15ry+J2eXIKq2GiO+CMU1MYTDrHuh5I4VHlvOmTjqRVoLC2ikM5l7bpvQL84aHwBWlVVpczLN/6iSrBHVXrlzB448/DgBwdXWFWq2Gh4cH3n33XSxfvtwab+GUbu51ac6qKomQZwn+nHkI1jxkNLqb/227uoEbKTwA5573Ym6Xe3vIm7VQxpzCA3DudrkxhSGgWQmFzSk8AOceUjP3ukzqHdisPSk9BK6WNC8doV1GdvG97RQGoO7UF2fuxTT/HTVnCgNwI4UH4NxDsObr7n23mcJgxnPhYqj5+uKAdrFKUOfu7g6NRgMACAwMxPXr1y2PFRc7b/DRGmVVWhys/aBtzhCAmbMPwRqMNxKlNqer28w81OisH0ZavdGy/21zhtLMLOfLNef8O1RrDTdNYbiDdnHSYFep1mH/VdM1omXXl9ohWCdtF9MUhhsJh5srzsnnYeoNRuw6bx56bfl111mD3RqdAX9dqJ3CcAefR45oF6sEdYMHD8axY8cAABMmTMDixYvx/vvv48knn8TgwR1rT87m+vOiKUdS90DPFiUTNn9jPJ5aAp0TzpM6mV6CggoNJEIeRrQgqeXNKTzyytU2rKFjHLlWhPJqHXzFAksvU3OYezDP55SjtEprq+o5zL4rBajSGhAiFaJfqFezn2f+OzKn8HA2ey4qoDUY0dlf3KJkwubJ7/FpJdDonW9+akJWGXLL1RALXHFPM6YwmA3tJKuTwsPZHLteguLK5k9hMLs1hYezOZhsmsIQKHHDwHBps59nvu6ezSpHRY3OVtVrkFWCuhUrViA2NhYAsGTJEowZMwY//fQTwsLCsHbtWmu8hdNpyUTdm/UMkkDqzodKo0diVrkNauZY5na5r6e8WV3dZl6iGyk8HLWU3Ja2m4fSegXCpRlDaWY3p/A46oQpPHZYFtQEtSgxrLOn8DAvNGpJrwsAdAvwhK9YgGqtAQlOuMXc9sTaVdLNnMJg5uwpPHbUtsuEXgEt2rPUx8PxKTxsyZy4e1Kf5k1hMAuRihDp6w6DkeG4na+7VgnqIiMj0atXLwCASCTCqlWrcP78efz2228ICwuzxls4lbxyNU5llDa6zVNTnHkeg1ZvxJ8XWz7EaBbnpPNeqrV67L1sGgJoKvFlY5x1qFFZrbP8X7e0XTgczk2r1JyrXQorahBfm8uyse2vGlNnfqqTtYvOYMSftVMYmko43BjLFA8nu77U6G5MYWjNddfZ2kVVo8P+ZNMUhjs6XyyfR+0wqDPTarXIyclBVlZWnRupa+/lAgDAgDDvO8r076z5x06klUBVo4evWIBBLejqNjMPqR1xshQeh1OKUaMzIlQqQs+glu9nfHOeLWdK4bE/uQA6A0Nnf/Ed7YfsrJPf914pAKvdXu9OMv2bh2Cd7UvA6YxSlFXrIHXnt2gKg5n5uutsKTyOpRajSmtAoMStRVMYzCx52RyUwsNWDiYXQas3ItLXHV3kd359OWzn1ElWCepSUlJw9913QygUIiwsDBEREYiIiEB4eDgiIiKs8RZOZd8VU1A3tonM1E25u/aieyFXieJK55nHYG6X0V39W9TVbWZO4aFyshQe5nYZ083/jvaedNYUHvsum75Fj+1++/QLDXHWFB77ar803mm73B3tCw4HuKpQoaCixppVcyjz+TKqi1+LpjCYOWsKj9ZeXxydwsNWbv6cvpN2GRwhA9+Vi9xyNa4XVVq7eo2ySlA3a9YscLlc7Nq1CwkJCTh79izOnj2LxMREnD171hpv4TQqanSWbb5Gd7uzi66f2A3dA03zGI46yapGxpjlw2hMt+ZPYL6Zy01D087Sy2AwMssqxqa2v2qKwNXFssTeWXqlNHoDDia3rl08BK4YEGbqEXaWIdgqjR7HaucINifXWEOk7nz0CvYC4DxDaowx7L1iGmK80+sul8txut1IjEaGfVdq/47usF14LlwM6+S4FB62oDMYcaD2ununn0dCvgtiI0zXF3sOwVolqEtKSsKaNWswfvx49OnTB717965zIzccSi6CzsDQyc8DET7ud/w6zjZ0dCmvAnnKGgh5Lhga1fzVV7dytnY5m1WG0iotJEIeBobfPoFsY4Y7WSqcE2mlqNIa4O8puKMhabPhTjbf8Mg105BRuEyETn4ed/w6ceYvR07yd5RSUInsUjUErlzLF787YRmadpJ2OZdTjiKVBmKBK2IjWj4kbeZs193T6aWoqNHDx4OPPiF3ft11xDxvqwR13bp1o3x0zWSeT3envQtmcZb5Y0VOMY/B3C7DY3xatCrtVuZ2OZ+rdIoUHuZ2uaeLX7MS6zbG3C4JmWWodIIUHuaFI6PucKjezNwuzpLC4++bri93MmRkZtliLrUYBqe4vpjOl7s6+UDEv31C88Y4WwoP8/UlrrNvi7IN3MqRKTxs4e+brrt3MlRvdmOLOfttYWmVoG758uV45ZVXcPDgQZSUlKCioqLOjZjoDEYcSG5dl65Zv1BvuPNdUFypxeX89t/GN8+naw1/zxspPJxhif0+K30JCPdxd5oUHqah+tq/o1a2S9cAsdOk8NDfNGR0p0NpZr2DvSB2c0V5tQ7nnWB+6t5WDjGaOVsKj5vn07WGI1N4WBtjzGqfR538PBAgcYNGb8TJdPtsMWeVoG706NE4ceIERo0aBT8/P3h7e8Pb2xteXl7w9r7zrktncyq9FCordOkCAN+Vi6GdnGMoILdcjUt5FeBy0KKEoI1xltQmqYWVSCuuAt+Fa+k5aQ1n2Y3kYm4FFBU1EPFd7mgV483qpPBo5+dLQmYZyqp18BLxmrXXa1NcXW4MU7b3dimoqMG57HIAwKiudH0xyyypQkpBJVy5HIyIoXYxu6pQIafMPFTfuuvuzamT7DXFwypB3YEDB3DgwAHs37+/zs18HzHZa6UuXTPzRfdYO/9m9E/tt6L+Yd6QeQha/Xrm/U6Pp5a06xQe5m+Lg6NkzdoD93Zubpf2bG9tuwyP9m3VUL2Z5e/oevv+OzKfL/d0bt1QvdldnW7sXtOe/VPbS9cnxAt+YrdWv56lXa637+uL+fNoUIQUEtHt98C9nRufR+37fDGPjtwd7dOsPXBvx3LdtdP1pfWfFADi4uKs8TJOjTFm+SMac4epTG5lXlBwJrMMNTqDVT7gHOFGu7Suq9tsQJgUfBcuFBU1SCuuQpTvnU8YdyRrt8vgSBm4HCCtuAr5SvUd5UhsC6zdLuaVwZfyKlBerYWXiG+V17WnutcX67SLeUVjYnYZqrX6Vs1FcyTzfDprtUu/MC+48bgoUmlwrbASMf4tz2HWFlj7fBkUIYMrl4Os0mpkl1bfUY7EtmCvlYakzYZEmv6OripUKK7UwMcKHRdNsVry4fLycnz66ad46qmn8PTTT2PlypVQKp0nZ41ZoaoGiXeQo+hKvgq55Wq48bgt2luvKVG+7vD3FECrNyIh07HzgSpqdIi/g2+udVK8tHL+gpmQ74J+YV4ATN+mHUlZrcOp9NIWt0uRSmPJhTXaCkNGACAR8iwrRR3d+1JapcWZjJa3S3ZpNa7km4bqR1phqB4A/DzdEO3nAcbg8PmGN/+/t0RqYSUySqrBd+Hi7pjWD9UDQKhUhCAvIXQGhlN2mg/UGFXt9aWli8LqpHix0oe0wNXFsg+oo0dJlGodTqa1/LpbVqXF6QzT/6m1rrseAlfLVo326pVqjPn4WtouCmUNzucoweEA93SxTrvIPASW/Zft8XlklaDuzJkziIqKwsqVK1FaWori4mKsWLECUVFRTpenbs6mBNy/6jg2n2rZThnmoZG7OvlapUsXMI3XD4tqG0OwS3ZcwvTvTmDZX1db9DxzipcoX3dEWrFHzdwujp60+9pv5zFtTTw+23etRc87cLUQjJn2+rVmj5p5Hqajhxpf/CkJ/1odj28Pp7Xoeeah+gHhUkjdrdejNqyNtMu8H87igVXHsSk+o0XPM/cuDO1knaF6oPb6Uttb5+gvR//ZdRnTvzuB//xxuUXPM6d4CZOJEN2KFC+3GhrVNoYa39p+EQ9/ewKf/J3coucdSC6EkQFd5GKr9qgNq+31dnS7vPzrOTy0Oh6rDl5v0fPMn9N9Q7zgK7Zej5q5XezxeWSVoO7FF1/E5MmTkZGRgd9++w3btm1Deno6Jk6ciIULF1rjLdqEkkoNErPKAQBv77jYot6xva1MrNsY84e0Iy+6BiPDP7Wr7r49nGbZZL05LClerPQt2szcLvFpLf92by06g9Eyafjzf67h79r9FZvjbyuter3VjWDXcfOB1FqD5Zv88t1XW7SK0DI0YuV2MQ/BOvLvSFmtw+lMU+/J0t8vt6h3zFqpkm41rJN95wM1xGhklnlx645l4LezOc1+rrVSvNzKHOyeTCtx2JaEeoMRB2uvu18fuI6/ave1bQ5rD72a3fx55KjrS43OgCO1Sfk/+TvZsiK8OWz1eTTMjp/TVuupe/XVV+HqeuMboqurK1555RWcOXPGGm/RJpxIu3GR1RkYnvtfQrO20clXqnEh17pdumbmD6PzOY7LD3QxVwml+sZ7v7r1PC41Y7uYOilerPxh1DtYAg+BKSWDo1K+nM8pR7X2Rm6iRT+fQ2rh7beLUWsNOJpqCnRGW/lLwIBw7zrzDR3hTGYpdAbTBd/IgPk/JiKrpPq2zzMNNdUOGVn5ohtrnm9YVAWF0jFbY51IL4H5c1BvZJj7QwLylerbPq9QVYOk2tWd1g7qhtwy39ARrigqUHJTzsnXf7uACzm3v77USfFi5XbpHiiBp5srVBo9LuY55vpyKa8CqptyTi7+5RySFbffBrBGZ7B82bR2u/QNNc03LK40zTd0hMSscmhq9+ZlDHh+SyLSm3Gtq9ToLdMvrP15NDBCWme+oS1ZJajz9PREVlb94cjs7GyIxS2bRHr48GFMmjQJgYGB4HA42L59+22fc+jQIfTv3x9ubm6IjIzE6tWrW/SezWX+tvrIwBDE+HugUKXBc/9LuG3SUvM2LNbu0gWAQC8hInzcYWSwfODZ29HaLuVRXfwQF+OLGp0RczYloOw2yX/NKV5k7nz0DbVu6htXFy4GRTh23ot53trYbv6IjZCiUqPHMxvP3Db4PppajBqdEUFeQnSrnYthLW68m+YbOqpdai+ck3oHoneIF5RqHZ7ZdAbV2qaTIh9MLoTe2PrdWBpy83xDR50v5g+Uf/UPRhe5GMWVWjy7KeG2SUv3XzEN1fcKlkAuaf3qzpv5iR0/39D8/xEX44tRXfyg0RsxZ9OZ2+57bU7x0trdWBriwuVgcKR5qNGxf0ejuvhhWCcZqrUGPLPpDJTVTV9f4tNKUG2F3Vga0hbmG8bXfk5P6BmA/mHeUNWYrru3S7p+OKUIWkPrd2NpiD3nG1olqHv44Ycxe/Zs/PTTT8jOzkZOTg62bNmCp556CtOnT2/Ra1VVVaF379746quvmlU+PT0d9913H+6++24kJibijTfewPPPP4+tW7feyaE0yXxRG93VH9/OHABPN1eczSrH0t+bnuexz0ZdumZDoxx7cTG/7/AYX3zxSF+EyUTIKVNj/uazTQ5NWDvFy60s7eKgDyPzRXd4jC++frQfAiVuSCuuwqKfkpocEr6RcNjPqkNGZsMcPB/I3C4jO/tizb/7w8dDgKsKFV759XyTQzaWPSqt/C3azNHzDc0X+9Fd/fDdYwPgJeLhXI4S/7f94m3axTZDr2aOnm94tPY8vTvaBysf6YNIH3fkKWsw74ez0DVxfbGkeGnlbiyNcfTQtPl97472wZfT+yHIS4jMkmq88FNik7uAmK8vrd2NpTGOnm9ovr7Exfjim0f7wd9TgGuFlXjp53NN/x3ZaKjezF7zDa1ypn/yySd44IEH8NhjjyE8PBxhYWF44okn8K9//QvLly9v0WuNHz8e7733Hh544IFmlV+9ejVCQ0Px2WefoWvXrnjqqafw5JNP4pNPPmn0ORqNpsW7XiiUpuEqLgcYFClFuI87vpjeFxwO8OPJrEYXTtzcpTvWRkGdIy8uaq0BZ2oz8Q/r5AOJiIdvZw6AiO+CY6kl+GhPwxN4bZGC4VbmdjmdXgqt3r7zXmp0BiTUrmIcEiWDj4cAq2f2B9+Vi31XCvH5Pw0vnDDNT7Ru6ptb3Tzf0N5bQFXU6HChdoeCIVEyyCVu+Obf/eDK5WDX+fxGF05o9TfmD9nsfHHgfMMilQYpBZXgcIDYCBlCpCJ8Nb0fuBzgl4Qc/O9EZoPPq9bqLfOHbNUulvmGDviQ1ugNOJVuet+7on3g6cbDt4/1h4fAFSfTS/HBn1cafJ59ri+mdjmTUWa3LaDMtHqj5bo7JMoHUnc+vn2sP9x4XBxMLsKKvQ1fd41GZrVdJBrjyPmGVRq9ZSrCkCgZ/Dzd8M2/+4PvwsXuS4pGF07oDUbsT7bt9cVe8w2tEtTx+Xx8/vnnKCsrQ1JSEhITE1FaWoqVK1dCILBtTpb4+HiMHTu2zn3jxo3DmTNnoNM13A29bNkySCQSyy0kJOT275NmunD2DJLA082UqHFEZz+8NLYzgMYXTtzcpWurfGlDImXgcEybVheq7Dsf6ExmKbQGIwIkbojyNQ2JdZaL8clDvQE0vnDiqsKU4kXgyrUkZ7S2zv5iyNz5UOsMd5SGpjXOZpVBqzfC31OAyNqhwl7BXlh2f08AjS+cSMouR3GlFmKBq2X42NrM8w2Vah0u23k+0On0UhgZEOHjblnVOzBcincmdwfQ+MKJU+mlUGnMu7F42aRuA8K9wXd1zHxDc1qfrnJPeNeu6r0r2gevje8CoPGFE0evFUOjNw3Vd5HbJl9a7C35De3pbGY5anRG+HgI0Lk2H1wnPzFWTDNdXxpbOHG96EaKl+FWSvFyqyhfD/iJBdDojThr55RS53LKodYZIHPnI8bf9LnSPVCC5Q/2AtD4womLeUoUVGhMu7FEtm43lsbcPN/wQq5905qdySyD3sgQ7C20rOrtF+qNd6eYri+NLZw4k1mG8trdWPq3cjeWxtw83zClwHbzDa3aJy0SidCzZ0+Eh4fj77//xpUrDX+LsiaFQgF//7qRtb+/P/R6PYqLG+65ev3116FUKi237Ozs276P+VvqkKi6AcjcEVEY30MOnYHhiXWn8Nz/EvDNwes4fr0YqhpdnW+LtujSBQBvd75l7pW9572Y59MN6+RT5/ju6xmAuSOiAAAv/3oeT64/jc/2peBAciFKq7SWdrk7unUbbDeFy+VYJnrbe1Wj+f9haFTddnmwfzCeGBoOwDSB96kNp/HlP9dwKKUI5dU32mVEF79WbbDdFFcXLmJrA0Z79+6a/x9u3d7r37GhmDYgGEZmShv09MYz+PpAKo5eK4ZSrbMkkB3Vxd8mQ/WAab5h/9q5nfaeb3jccr7UbZen747EpN6B0BsZZq8/jWc3JWDVwVQcT7Xf9UUi5KFnsBcA+w+pmad23NVJVuf4xnaX4/lR0QCA17ZewKx1p7BybwoOXC1ESaXGsup1iJV2Y2mIKeWLY4amb3we1W2XKX2C8NRdEQCAhT8lYfb60/jin2s4mFyIspuuu3Ex1tmNpSEuDrzumq9nt/4dPTIoFDNiQ8EYMPeHs3hqwxl8tf8ajlwrgrJaV2cqkC2G6gH7zTe0ytk+bdo0DP//9u48PIoq3x//u7uTdPYOnaSzQAiBsASRHQNBDCBEuKzCD2fEYdAf6CDiVYNcZXQu6MgAzgguXAQZZNS5VxgHUUAMEzbZwjKQsEMgAbLvSWcjaZI+3z86VXSH7qQ7qarePq/nyfOQ7kp3nQ9Vpz51zqlznngCS5Yswb179zB8+HDcuXMHjDFs374ds2fPFuJrLGpdmXFNm5YqOaVSaVMLImPMYqUrk8nwlzmDkFtZj8v51fj5chF+vlzU8h4gb9kHsca7cEbHhuBKQTVO3CrDjMFdRf0uY8dvcpXuw61tS5P6IrO4FgeuFePQ9RIcMrpD8lRIF5e9FwtxMqsMb0zsI+p3GbOUvADAO1PikFVai2M3y3DgWgk/VgwAPORcXIR96rW1hNgQHLxeghNZ5fhdYi9Rv8tYW+fR+zMG4E5ZPc7cqUDq1WK+ogWM4iJS1whndGww0rLLceJWOeaN6iHqdxnjBncnxD4cl7WzH0VOeR0u5GmRcqUIKVcerl/E6jLijO4VjAu5VTh5qwz/37Buon6XsWNGN42tvf5kb2QW1SDlShEO3yjFYaO1Nfn6ReS4JPQKxq70fJy4VY5lT4n6VSYeJC8Px+Xtyf1wq7QWR26U4uD1En66KcC4fhG/3t1/pRgnbpXhlXGxon6XMeOb6dZWTnsEt0vrkJZdjgPXivluaOBBXIR+6rW10bEhOHazDCezyvD/tyTfQhMkqTt69CjeeecdAMCuXbvAGENVVRW++uorfPDBB6ImdeHh4SgqMu3GKikpgYeHB4KDhWlezq24h/yqe/BUyDDczFNUfkoPfP/yaJzPqcSF3CpczNMiI7cK+VX30MwYwgO9RWvS5ST0CsYXR7NxomU8kFh37cYq6nS40tJ91/piBBju2L6YNwwX8qoexCWvCtmldbjfzODtKcd4kZMXbpxUek4V6hqb4CfSXbux2sYmfgHx1skLAHgq5PjbC48hI7cSF3K1uJBniM3tsjo06Rn8vBQY21fkuLT8f3HjDcVqFTRWUafDtZbpZUaa6frx9lTg/16MR3qu4Xi5kKfFhdwq5FTUo0nPoPLxFGw1FksSYkOAf2Xy4w3FahU0ll91D3fK66GQy/g7eWO+Xh7458sJOH+30nAutcQlr9JQv4QGKEXrqueMjg3BxiNZOJFVJln9oq1/MP7S3BANuVyGz38zlI8HV89ktdQvXh5ySS7SwIMppbihOWK6p2vm50s1V794KOT4cv4IpOdW4aJR3ZvdUr/4eikEW43FEnssYamtv4/LLd295m6mvTzk+PvCeKTnVJocM3fLDfVLgLeHYKuxWMJdj05nV6CpWS9Kq6AgVzitVgu12lCppKSkYPbs2fD19cWUKVOwbNkyIb7ColGjRmHPnj0mr/3rX//C8OHD4ekpzAnG3RUNiepisavQy0OOkT2DTS5WpTWNuFKgRa9Qf9GadDmPtcyDk191DzkV9YgOFnbKB3O4uPQLD7C4ULZcLsOQ7l1MpizR3jOcfCH+SkEW2G5L92BfdOvig7zKezhzpwLjRE6WAODsnQo06Rm6q33RrYv52doVchmGRasxLPrBxbiqXodL+VpEqLyh8hH34sCNNyyv0yE9pxLxIo2vMcaNG+sXHmBx/UMPhRwjeqhNkpuKOh0u52sRpfYVbDUWSwZ2NR1v+Gg3Yad8MIdrXRjYTYUAC0mBp0KO+J7BJv9PZbWNuFJQjZhgP3iKXL8MizaMNyyubkRWaZ3gUz6Yk5ZdDj0zLIdoaVUVmUyGwVFBJuMsqxvu43KeFmp/L8GneGmNm1LqdlkdTmdXiN5iChimatE16xGp8kZ0sPn6RS6XYVh0F5PGBG39fVzK1yIsUCnoaizmcEtYFlc34tzdSrMtrUI7ffvB8RIWaP7/XSGXYXgPNYYb1S+VdTpcLtAiMshHtK56Tv/IQKh8PKG9dx8X87UYKvBUXoBAY+qioqKQlpaGuro6pKSk8A8uVFZWwtvbtpOqtrYWGRkZyMjIAGCYsiQjI4OfB2/58uX47W9/y2+/aNEi3L17F8nJybh27Rq+/PJLbN26FW+++aYQRQPQdldaW0IDlBjbVyPJwsa+Xh4Y0j0IgHTjXk600TXSFpWPJ0bHhqCvSAO7W0uQcIkWwLgLwLbjJcjXC2N6hyJWI35cZLIH416kmvKFuwmw9TxS+3nhiT6hgs9NZ47xeEOpxklZGgfUnhB/JRL7hKK7hQu7kEzGG0oUlwfj6WyrXwK9PZEQG4J+4cLO8WjJKImnlHpwHoXY1GKq8vXE471D0DtMmvolQeIlLE+20fXali5+hnpXrAcZjRnmN2wZzyxSXARJ6l5//XU899xz6NatGyIjIzF27FgAhm7ZRx991KbP+ve//40hQ4ZgyJAhAIDk5GQMGTIE//3f/w0AKCwsNJnoOCYmBvv27cORI0cwePBg/PGPf8Snn34qWJdvW+PpHA13MEtV6R7vYKUrNX4ws0TJbkeTF6nxU+E4eKUrNSmX3mOMtTkOyJHw68A6+E2j1LguNakeUnOe65G0D0t09GZaamIvGSZIW+PixYsRHx+PnJwcTJw4EXK5IVfs2bMnPvjgA5s+a+zYsW3O4fK3v/3todcSExNx/vx5m77HWlmltSirbYTSQ47BLS1hjmp0bAg+OXgTaVmG9U7FmFiSc7e8DrkV9+Ahl4k+nqezuOTqamE1Kup0onY9aOvv8+MMxZoyQCjcxSgjV/zxhsXVDcgubZnn0cGPFynHG94tr0ehtgFeCrno4247S8rxhvlV9/h5QUc6+EWaq19uFNegtKZR8FWDjNU03OenCXGWm0YpxhuW1TbiRrFhiTQphpJ0htjjDQWrrYYNG4ann34a/v4PmjCnTJmC0aNHC/UVdsFl0yN6qKH0EH+wZ2cMjgqCj6cC5XU6/gAXC9dKN7R7F0kePugMTYA3P5cTN65LLNz6nbEaf2gsjOtwFNx4wyY9w5k74i4xx91FD+iqEn28YGf1DQtAiL808xty9YthDivHrl8GdlUhQKL5DU+0PFU/KCpIkocPOkNtNKWU2L0kZ+9UoFnP0CPYF5FB5scZOgopl7Dk53mMCBR9vGBnceMNdU16s3PbdpZgSV1eXh42btyIt99+G8nJySY/zsx4PiBH5+Uh3Xqn/HgXkSYOFppU4zucpQuA82AVBXHj4ixd0gA33pCbf0zcm4C2pqZwNB4KOeJ7SjPekLtpHOPgXa8cqbqmLc2X6qikWsLSWbqkgZb5DUW8HgmS1B08eBB9+/bFxo0b8dFHH+Hw4cPYtm0bvvzyS/6BB2ek1zOkZTvPwQIYVS4iXoya9Q/GGTr6eBeO2OMYOB0d9G4v3FQ0Yo83dJbxdJzREjxcYzKezsyUQI5IipsjvZ45zXg6jlTrBjtT8gJIt4Sls91MPzhehK93BUnqli9fjqVLl+Ly5cvw9vbGzp07kZubi8TERMyZM0eIr7CLq4XV0N67D3+lBx7tKv7UBkJI4OfBKW9zsevOuFpQjap6Q1wGSTDlgxDie6ohlwG3y+pQUCXOUket1+90Btzxwo03FENuRT3yKg3jL0eYmefREXEXI268oRgyi2tRXqeDj6cCg1pWbHB0/HrKdyrQ2CTOeqc3imv4uAwRYcoHMTzWwzClVF7lPeSU14vyHZV1OlxtY55HR8SNKxZzCcuCqnu4XVYHhROM7+ZwyeelvCpo75lfzrSjBEnqrl27hvnz5wMAPDw8cO/ePfj7++P999/H2rVrhfgKu+Cy//gYtejzzAmlf0Qggnw9Uadr5ifAFRrXNTKyZ7DTxCXQ+8FSR8dFamXgWnX7RzxYv9PRhQYo+fGGYt1N8/M8dg8SbUk4oUWpH4w3PH1bnFZMLi4jYtSSTP4shD5h/gjx90LDfT3O360S5Tu4Vrr4ns4TFz+lBz9Xnlj1CzdurG9YgKgPYwjJeAlLsbqmuev0o10tz/PoaIzHGwo9zluQGtbPzw+NjY0AgMjISGRlZeGRRwwL6Fpaf9UR/e3EbYyKi8KASBV8vBRONQ6II5fLMKZ3KPZcKMDB6yUmkyy2hTGGQq3hCcXsslpkl9bhdlkdAn08MaibCkO6B+GRSBW8PRU4fsuwHM8YJxlPx0nsE4oLuVU4dK0EzwyPsupvGGMoq9Uhu7QW2WV1yC6t5e8KB3YLwpCoIDzaMmlsmpN1vXIS+4Qis7gWh66VYOrASKv+hjGG0hrDRLTGx4uXQo5BLZPBDuymgp/Sw2ieR+c7Xv73dA4OXivB+H7WTSrLGENJTSOySmsNsSmtxZ2yOvh6eWBQlAqDuhmOF18vD6frSgMM44Ge6B2K79Pzceh6sdV1I2MMRS1PQGe3xOZOeR38W5KhwVGG+sXHS4FjbSw96MgS+4Ti33crceh6MebGd7fqbxhjKK/T8XHh6hi5TGZyHgV4e3Z4vlR7S+wbiquF1Th4vQQzh1i3hCVjDKW1jS1xeVDveiiM4xIEf6VznkeA4Xi5XVaHQ9dK8NQj4e1u33DfupZxQZK6kSNH4sSJE+jfvz+mTJmCpUuX4tKlS/j+++8xcuRIIb5CEn/5Vybkv+RBIZehb1gAsstqATjfSTQhTmNI6q4V461J/drc9n6zHi///TxO3CrDPQsHzZ4LBQAM6+P1iwhAZpEhLs4y3oUzIU6DTw8aFnFubGpu92nm//7xMnal56OmwXz32/4rhrUDZTIgNtQfJTWGGxtnO16ejAvDlmO3cfhGSbtTVTDG8NbOi/j5UhFqLHRLcmuTymVAn7AA5FUaursdfYqX1ibEheF/T+fg0PWSdpfG0usZXt+RgYPXilGnM38e/XSpEIBhAtI+YQG4U1YHwPni8mRcGL5Pz8fBayV4Z0r/NrdtatZjyf+l4+jNUtRbiMveiw/i0i88ADdLDPWLszyExXkyLgwfpWbi+K0yq6aqeG/PFew8l4dqC/XLv64+qF96hfqjrNY565cJcRp8fiQLR26U4H6zvt3VT5Z/fwl7LxRYrF+M690+mgAUaFvqFyeLy5NxGvzt5B0cvF7S7hRkjDHM/J8TVn2uIEndunXrUFtrOBFXrlyJ2tpa7NixA7GxsVi/fr0QXyGJ8f1CcbWsCSU1jfzYhWA/L8RJNDO5UMb20UAhlyGzuBa5FfVtrmhx/GYZv7Cxh1yG7sG+6Bnij16hfugR4ofy2kZk5FYhI7cKZbU6XM43xCVS5Y1eoeLP8C+kAZEqaAKUKKlpxKnsCiS2sc7fnbI6fJ12F4Ch8ujWxQc9Q/zRM9QPPUP90aBrRkZeFTJyDGv8chciT4X59Tsd2fDoLlD5eKKy/j7O51S2uf/XCmvwj3/nATAkbVFqX/QMMcSkZ6gfahua+OOlUNuA60WGqXUM46OCpCiOYEb1CoaPpwKF2gZcKajGgDbG1abnVmJ3y82PQi5Ddz4ufogJ8Yf23n1k5FYiI7cKxdWN/Bq4Kh9PPBLpXPXLE31C4KmQ8a1KPduYiT8tu5xP8j24uLScQzEhfqio0/HHi2FZRUNcQgOU6CvBygdCiosIQKTKGwXaBpy4VYYn21h3NreiHttO3AFgvn5pvN/MxyWv8h5utdQvHnIZRjrJeF3O4KguUPt5oaJOh7N3Ktp8WOpmcQ2+PWNYXEAuA7p1aTleWmJTr2upX3KqUKBt4KfuUnrIMTzauerd+Jhg+Cs9UFbbiIv5WpOl7lq7mKflb47bI0hS17NnT/7fvr6+2LhxoxAfK7lPnx2KgIAAFGobcCG3ClcLqzGqV7Cok/iKQeXrieHRXXD6dgUOXCvGC6NjLG7LtR78ekQU/jhzgMW7KMYY8qvuISO3CtcLazC2b6gki3oLSS6X4ck4Db49k4uD14rbTOq4uIzqGYxtL4xo8667pKYBF3K1uJSvxYDIQKcZ18HxUMgxtm8ofswowIFrxW0mdfta4jK+nwaf/2Zom62dxdUNyMitwpV8LYZEd3H4edha8/ZU4PHeIUi9WoyD10raTOp+umhIXKY8GoH1vxrc5liwQu09XMitwpWCaqcal8oJ8PZEfEwwjt8qw8FrJW0mddzxMntoN6yZ/Wib9UuBtgEZOVW4VliNMb1tWwLLEchkMjwZF4ZvTt3FgWslbSZ1P182xOWxHmp8veCxNs+N0ppGXMyrwsU8LeIiAqHyda76RSGXYVxfDXaez8PBayVtJnVcvftEn1Bs+e2wNuuXkpb65XK+FoO7B4m+LrTQvDzkeKJPCPZdKsLBa8VtJnXceWQNwWqTqqoq/PWvf8Xy5ctRUWGYaPD8+fPIz88X6iskIZPJEBnkg8mPRmBpUl+nmYKhNW5haa4Vzhxdkx7/armLnjmka5vN4jKZDN26+GLqwEi8+VRfq8fqOZoJLRXtgavFba5cwp1E0wdHtpuMaAK8MbF/GJIn9kGSFWMjHJFxXCxhjPFxmTE4st3u67BAbzz1SDiSk/piXF+NcDsroYlx7Z9Hej3jL9IzBke2O7g/QuWDSQMM9YuzDWHgTIgz/H+mthGXpmY931X2tBX1S9cgH0wZGIE3n+rr8KsCWDKhpd49eK0Yer3l+uWnS4Z6d9qgiHbrl9AAJZ6MC8MbE/tg0gDnrF8m9jccLweuWVnvDmq/ftEEeiOppX6xdsyro+Hq3dR26t2fpE7qLl68iD59+mDt2rX4y1/+gqqqKgDArl27sHz5ciG+gtiIu0s8nV2B6gbzj0yfyCpDdUMTQvyVTtdl2FGjY0Pg7SlHgbYB1wrNr7pxt7wOVwqqoZDLrBrA6goS+4bCQy4zDGBvGevV2vWiGmSX1cHLQ95mK4QrGddPA5kMuJSvRXG1+SkZ0lu6mv2VHniijdZfV8L9/5+7W4mqevNT4ZzKruCX5eMWMXd1I3uq4eelQElNIy4XaM1uk1dZjwu5VZDJgKecNEmz1ZjeofBSyHG3vB5ZpbVmt7lVUoPM4lp4KmR8o4SrG9dXA7nMULfmVZqfCudSvqHr1dvTunRNkKQuOTkZzz//PG7evAlv7wdLI02ePBlHjx4V4iuIjWJaxvM06RmOZpaa3WZfywDlyQPCRV3H0ZF4eyr4p+oOWmhlMO56dfQlZ4QS6O3Jz/FkqVWKu4tO7BMKfwdfGk4ooQFKfg65g9dKzG7DxeXJOI3TdTF3VJTaF33DAtCsZzhyw3z9wp1HTz0S5nRdzB2l9FBgTG9DYn/AwvHyc0sr3WM91NAEOPZSgkLxU3rwa/haigs3hOHx2BCHX0pQKF38vPg1nw9dtxAXrt7tbd0NoyBn2tmzZ/G73/3uode7du2KoqIiIb6CdADXtGvuYnS/Wc8/XfUfj0ZIul/2xrUyHLBwEnEXaXeNi7njxbgLYIqbxYXrajR3E6DXM/zstsfLgy611gxdr4a6313j0t5N45SB7hWXts4jgOpdc8mu8ZAXa4f2CJLUeXt7o7r64QWeb9y4gdBQ9+iOcERcUnf4RgmaWq0uceJWGbT37iPEX+k0s3AL5cl+hsrlQm7VQ7Oc55TX43I+1/XqHl0AHK7SPXOnAtp60y77G8U1yC7lul6dc3xcR3HjpI7fKsO9VtNyZOQZnsLz81K0+eCNK+Li8ktmKXRNpvXL6duGrtcuvp5ON2VLZ41v6bK/UlCNQq3pE4vcw2YyGZx2fFxHGXfZt1695lZJLW4U18BTIUNSf/eKC3edPpVVjtpW07hczq9GboWh63VMH+vG3wqS1M2YMQPvv/8+7t83XAhkMhlycnLw9ttvY/bs2UJ8BemAod2DEOTriar6+zh3t9LkPS77nzQgzG26XjmaQG9+ebNDre6OuLvokT3VCPZ3jlnbhRId7IfeGn9Dl1qmaVy4rvoneoc63dO9ndU3LABdg3zQ2KR/aLUALi5PxoW5TdcrZ3C3IIT4e6GmoQln71SYvPeg6zXcbbpeOcH+SgxtWd6sdesL16o7wo26Xjldg3wQFxEIPQMOt+ol4a5Ho2NDnO7p3s7qFeqHHsG+0DXrcazVUKmfjGYbsHY1HkHOtr/85S8oLS2FRqPBvXv3kJiYiF69esHf3x+rVq0S4itIB3go5PxThweNTiJ37nrlWGrydtcuAI65LliTrteB7nUXDRhuUs11HTHG8PNl9+xiBAxTBHH1i3EXbFOzHvvdOC6A5S5Ydx3CwOHPo+umcXHnepebCgcwvR4Zd73aEhdBkrrAwEAcP34cO3fuxJo1a7BkyRKkpKTg6NGj8PNzrglqXY25cS8ns8pRVX8fIf5eTrPwvNC4uBy/Vcovv5JTXo9L+VrIZXCbp15b4ypdbvZ3wLAYd1apYQkwd3nqtTU+2W2Z/R0AMnINE0/7eSkwtq97db1yjG8CuKkqztyuQHmdDkG+nk43y79QuC61k1nlqNcZutQKqu4hPcfQ9TrZzbpeOdzxcjSzjO+yzyqtxfWiGnjIZUhyk6deW+OuR9yqPoCh+z6noh7ennKM72f9kJdOJXWnT5/Gzz//zP8+fvx4hIaGYuPGjXj22Wfx0ksv8WvCEvt4ok+oYfb3lrU5gQddRk894j5PvbbWPyIQkSpvNNzX82v87rvMdb0GI8TNul45Q7obZn+vbmjCv+8YuuwfTAgagkA363rlxPdUw1/pgdKaRlzKN0xVwU/E7IZdr5wxvUPg5SFHTkU9v+oB3/XaP7zdJaFcVW+NP7qrfaFr0vNr2XLHy4hoNTSB7tX1yhnYVYXQACVqG5tw+rZhzVbuejQ6NgRBvu4x20BrI3qoEejt0bLCimm9O66v9V2vQCeTupUrV+LixYv875cuXcKLL76IiRMn4u2338aePXuwevXqznwF6aTAltnfAUNXwP1mPfZffTD7vbsy1+Ttzl0AHIVRlxrXdURxMUxV8USfB1PhGLpGuPPIPVtdAMNUFQlGU1U069mDp17d7OlOY4b6xdJ55L7Hi1wu4x9U44Z4uHuXNAB4KuQYyw9lKOlw1yvQyaQuIyMDTz75JP/79u3b8dhjj2HLli1ITk7Gp59+in/84x+d+QoiAK5ySb1ajLSWrtdgPy+3e+q1NeNKN6e8HhfzDF2v7vZUWmsTjLrsM4trcKukFl4KOf+0o7t6smXW+tRrJbiQp0V+1T34ein4ythdPWm06sbp2+UoqzV0vSa4adcrh+uCPXS9BPlV93Ce63p14+QFeHC8pF4tRrZx16ubzTbQGj9U6moxrhRU4255PZQetnW9Ap1M6iorKxEW9uA/4pdffsGkSZP430eMGIHc3NzOfAURAFe5/PtuJb9Y8lMD3O+ptNZG9gyGr5cCxdWN+HD/dQCGRZbdteuVM6aPYfb3O+X1+PTgTcNrvd2365Uzrp9h9vdrhdXYciwbgOGpNHfteuVwLS/ncyrx91N3AQBJ/cPctuuVM6KHGgFKD5TV6rB63zUAwPDoLghz065XzuOxIVB6yJFfdQ/rUjMBAAlu3PXKGdtHA4Vchpsltdj0SxYAQ9ern40TvXfqrAsLC8Pt27cBADqdDufPn8eoUaP492tqauDpafuFYOPGjYiJiYG3tzeGDRuGY8eOtbn9//7v/2LQoEHw9fVFREQEXnjhBZSXl9v8va4qSu2LPmGGqSq4p/Xcuamb4+2pwJjehi61vS3jOty5y4jjr/RAfMuyTnxc6HiB2s+Ln6rip4vUZcSJDPJB/4hAMAa+S5qOl5YF21seoKHz6AEfLwW/5vFe/jxy794RAFD5emJED0P90pnrUaeSukmTJuHtt9/GsWPHsHz5cvj6+mLMmDH8+xcvXkSvXr1s+swdO3bg9ddfxzvvvIP09HSMGTMGkydPRk5Ojtntjx8/jt/+9rdYsGABrly5gu+++w5nz57FwoULO1M0lzPB6KlFtZ8X4t2865VjHBe5DJjkpk+9tma89qKnQub2Xa8c4zj4eFLXK8c4LiofT/6i7e4mtnpafPIASuoA03pXIXe/CYctMY6L0kPOt4LbolNJ3QcffACFQoHExERs2bIFW7ZsgZfXgybUL7/8EklJSTZ95rp167BgwQIsXLgQcXFx+PjjjxEVFYXPP//c7PanTp1Cjx498J//+Z+IiYnB448/jt/97nf497//bfE7GhsbUV1dbfLj6oynonDHCUEt4RZsB4DHYtQIDXDvrleO8TiOMb1D3WYtxvZMMFpNY3ycBj5e7t31yjGOC3W9PjC2byg/w8Dw6C4IV7l31yvHeFWahF7B6OIma2y3xzipG9s31OauV6CTSV1oaCiOHTuGyspKVFZW4umnnzZ5/7vvvsOKFSus/jydTodz5849lAgmJSXh5MmTZv8mISEBeXl52LdvHxhjKC4uxj//+U9MmTLF4vesXr0aKpWK/4mKirJ6H53V4KggPmGZRl2MvBB/JYa3LKg8dWCknffGcXTr4otHIgMBAFPpeOH1CvVHzxDD3Jt0Hj0wIFKFyJaEZeogOo84Qb5eeKyHoVeEzqMHwgK9MSgqCAAwjepdXo8QP/QJ8wfQ8euRjHEzRjqAgoICdO3aFSdOnEBCQgL/+p/+9Cd89dVXuHHjhtm/++c//4kXXngBDQ0NaGpqwvTp0/HPf/7T4ni+xsZGk/nzqqurERUVBa1Wi8DAQGEL5UAu5FbhdlkdZg7pau9dcSh3yupw7FYZ5j7W3W3n7TPnVkkNztyuxK9HREFOceFdK6zGpTwt5gzvBpmM4sK5nK9FZnENnh7SleJiJKe8Hr9kluDZx7pTD4mR7NJapGWX49kR3al+MZJZXIP0nEo8MzzK5Dyqrq6GSqVqN09xyKTu5MmTJg9crFq1Ct988w2uX7/+0N9cvXoVEyZMwBtvvIGnnnoKhYWFWLZsGUaMGIGtW7da9b3WBosQQgghRGrW5im2d9iKKCQkBAqFAkVFRSavl5SUmEydYmz16tUYPXo0li1bBgAYOHAg/Pz8MGbMGHzwwQeIiGi/yZvLa91hbB0hhBBCnAuXn7TXDudQSZ2XlxeGDRuG1NRUk/F5qampmDFjhtm/qa+vh4eHaTEUCsPgZWsbIbnpT9xhbB0hhBBCnFNNTQ1UKpXF9x0qqQOA5ORkzJs3D8OHD8eoUaPwxRdfICcnB4sWLQIALF++HPn5+fj6668BANOmTcOLL76Izz//nO9+ff311/HYY48hMtK6gYZqtWEga05OTpvBcjfcWMPc3FzqljZCcTGP4mIexcU8iot5FBfz3D0ujDHU1NS0m9c4XFL3q1/9CuXl5Xj//fdRWFiIAQMGYN++fYiOjgYAFBYWmsxZ9/zzz6OmpgYbNmzA0qVLERQUhPHjx2Pt2rVWf6dcbhi8qlKp3PJgaU9gYCDFxQyKi3kUF/MoLuZRXMyjuJjnznGxptHJoR6UsBd6UMI8iot5FBfzKC7mUVzMo7iYR3Exj+JiHXq+mhBCCCHEBVBSB0CpVGLFihVQKmk1AWMUF/MoLuZRXMyjuJhHcTGP4mIexcU61P1KCCGEEOICqKWOEEIIIcQFUFJHCCGEEOICKKkjhBBCCHEBlNQRQgghhLgAl0nqjh49imnTpiEyMhIymQw//PCDyfvFxcV4/vnnERkZCV9fX0yaNAk3b9402SYrKwtPP/00QkNDERgYiGeeeQbFxcUm2/To0QMymczk5+233xa7eB0mVVwA4KeffkJ8fDx8fHwQEhKCWbNmiVm0TpEiLkeOHHnoWOF+zp49K0UxbSbV8ZKZmYkZM2YgJCQEgYGBGD16NA4fPix28TpMqricP38eEydORFBQEIKDg/HSSy+htrZW7OJ1yOrVqzFixAgEBARAo9Fg5syZuHHjhsk2jDGsXLkSkZGR8PHxwdixY3HlyhWTbRobG/Hqq68iJCQEfn5+mD59OvLy8ky2qaysxLx586BSqaBSqTBv3jxUVVWJXcQOkTIuq1atQkJCAnx9fREUFCR20TpFqrjcuXMHCxYsQExMDHx8fNCrVy+sWLECOp1OknLam8skdXV1dRg0aBA2bNjw0HuMMcycORPZ2dn48ccfkZ6ejujoaEyYMAF1dXX83yclJUEmk+HQoUM4ceIEdDodpk2bBr1eb/J53GoX3M+7774rSRk7Qqq47Ny5E/PmzcMLL7yACxcu4MSJE5g7d65k5bSVFHFJSEgwOU4KCwuxcOFC9OjRA8OHD5e0vNaS6niZMmUKmpqacOjQIZw7dw6DBw/G1KlTUVRUJFlZbSFFXAoKCjBhwgTExsbi9OnTSElJwZUrV/D8889LWVSr/fLLL3jllVdw6tQppKamoqmpCUlJSXyZAeDDDz/EunXrsGHDBpw9exbh4eGYOHEiampq+G1ef/117Nq1C9u3b8fx48dRW1uLqVOnorm5md9m7ty5yMjIQEpKClJSUpCRkYF58+ZJWl5rSRkXnU6HOXPm4OWXX5a0jB0hVVyuX78OvV6PzZs348qVK1i/fj02bdqE3//+95KX2S6YCwLAdu3axf9+48YNBoBdvnyZf62pqYmp1Wq2ZcsWxhhj+/fvZ3K5nGm1Wn6biooKBoClpqbyr0VHR7P169eLXgYxiBWX+/fvs65du7K//vWv0hREYGIeL8Z0Oh3TaDTs/fffF6cgAhMrLqWlpQwAO3r0KL9NdXU1A8AOHDggcqk6T6y4bN68mWk0Gtbc3Mxvk56ezgCwmzdvilyqzispKWEA2C+//MIYY0yv17Pw8HC2Zs0afpuGhgamUqnYpk2bGGOMVVVVMU9PT7Z9+3Z+m/z8fCaXy1lKSgpjjLGrV68yAOzUqVP8NmlpaQwAu379uhRF6xSx4mJs27ZtTKVSiVsQgUkRF86HH37IYmJiRCqJY3GZlrq2NDY2AgC8vb351xQKBby8vHD8+HF+G5lMZjKxobe3N+RyOb8NZ+3atQgODsbgwYOxatUqp23WFSou58+fR35+PuRyOYYMGYKIiAhMnjz5oWZzZyH08cLZvXs3ysrKHLblpT1CxSU4OBhxcXH4+uuvUVdXh6amJmzevBlhYWEYNmyYhCUShlBxaWxshJeXF78WNQD4+PgAgMVjypFotVoAgFqtBgDcvn0bRUVFSEpK4rdRKpVITEzEyZMnAQDnzp3D/fv3TbaJjIzEgAED+G3S0tKgUqkQHx/PbzNy5EioVCp+G0cmVlycnZRx0Wq1/Pe4OrdI6vr164fo6GgsX74clZWV0Ol0WLNmDYqKilBYWAjAUEn4+fnhrbfeQn19Perq6rBs2TLo9Xp+GwB47bXXsH37dhw+fBhLlizBxx9/jMWLF9uraJ0iVFyys7MBACtXrsS7776LvXv3okuXLkhMTERFRYXdytdRQh4vxrZu3YqnnnoKUVFRUhZHMELFRSaTITU1Fenp6QgICIC3tzfWr1+PlJQUhx8XZI5QcRk/fjyKiorw5z//GTqdDpWVlXyXkaVjylEwxpCcnIzHH38cAwYMAAC+Kz0sLMxk27CwMP69oqIieHl5oUuXLm1uo9FoHvpOjUbjsN31HDHj4sykjEtWVhY+++wzLFq0SOhiOCS3SOo8PT2xc+dOZGZmQq1Ww9fXF0eOHMHkyZOhUCgAAKGhofjuu++wZ88e+Pv78wsHDx06lN8GAN544w0kJiZi4MCBWLhwITZt2oStW7eivLzcXsXrMKHiwo0JeueddzB79mwMGzYM27Ztg0wmw3fffWe38nWUkMcLJy8vD/v378eCBQukLo5ghIoLYwyLFy+GRqPBsWPHcObMGcyYMQNTp051+OTFHKHi8sgjj+Crr77CRx99BF9fX4SHh6Nnz54ICwsze0w5kiVLluDixYv49ttvH3pPJpOZ/M4Ye+i11lpvY257az7H3sSOi7OSKi4FBQWYNGkS5syZg4ULF3Zup52Eh713QCrDhg1DRkYGtFotdDodQkNDER8fbzJgPSkpCVlZWSgrK4OHhweCgoIQHh6OmJgYi587cuRIAMCtW7cQHBwsejmEJkRcIiIiAAD9+/fn/0apVKJnz57IycmRtkACEfp42bZtG4KDgzF9+nQpiyE4IeJy6NAh7N27F5WVlQgMDAQAbNy4Eampqfjqq68c+mlyS4Q6XubOnYu5c+eiuLgYfn5+kMlkWLduXZt1kL29+uqr2L17N44ePYpu3brxr4eHhwMwtK5wdQQAlJSU8K0x4eHhfKukcetLSUkJEhIS+G3MPW1fWlr6UKuOIxE7Ls5KqrgUFBRg3LhxGDVqFL744gsxi+RY7DSWT1RoNZDZnMzMTCaXy9n+/fstbnPw4EEmk8naHIy7Z88eBoDdvXu3o7srGbHiotVqmVKpNHlQgnsoYPPmzYLsu5jEPl70ej2LiYlhS5cuFWJ3JSNWXHbv3s3kcjmrqakx2a5Pnz5s1apVnd5vsUlZv2zdupX5+vqyysrKDu6tePR6PXvllVdYZGQky8zMNPt+eHg4W7t2Lf9aY2Oj2YHvO3bs4LcpKCgw+6DE6dOn+W1OnTrlsA9KSBUXY87woISUccnLy2O9e/dmv/71r1lTU5OIpXI8LpPU1dTUsPT0dP5psXXr1rH09HQ+2frHP/7BDh8+zLKystgPP/zAoqOj2axZs0w+48svv2RpaWns1q1b7JtvvmFqtZolJyfz7588eZL/3OzsbLZjxw4WGRnJpk+fLmlZbSFFXBhj7LXXXmNdu3Zl+/fvZ9evX2cLFixgGo2GVVRUSFZWW0gVF8YYO3DgAAPArl69KknZOkOKuJSWlrLg4GA2a9YslpGRwW7cuMHefPNN5unpyTIyMiQtr7WkOl4+++wzdu7cOXbjxg22YcMG5uPjwz755BPJymmLl19+malUKnbkyBFWWFjI/9TX1/PbrFmzhqlUKvb999+zS5cusWeffZZFRESw6upqfptFixaxbt26sQMHDrDz58+z8ePHs0GDBplcjCdNmsQGDhzI0tLSWFpaGnv00UfZ1KlTJS2vtaSMy927d1l6ejp77733mL+/P3+Mtr5hcgRSxSU/P5/Fxsay8ePHs7y8PJPvcgcuk9QdPnyYAXjoZ/78+Ywxxj755BPWrVs35unpybp3787effdd1tjYaPIZb731FgsLC2Oenp6sd+/e7KOPPmJ6vZ5//9y5cyw+Pp6pVCrm7e3N+vbty1asWMHq6uqkLKpNpIgLY4aWuaVLlzKNRsMCAgLYhAkTTKZ4cDRSxYUxxp599lmWkJAgRbE6Taq4nD17liUlJTG1Ws0CAgLYyJEj2b59+6Qqps2kisu8efOYWq1mXl5ebODAgezrr7+Wqog2MxcPAGzbtm38Nnq9nq1YsYKFh4czpVLJnnjiCXbp0iWTz7l37x5bsmQJU6vVzMfHh02dOpXl5OSYbFNeXs6ee+45FhAQwAICAthzzz3nkK2XjEkbl/nz55v9rsOHD0tQUttIFZdt27ZZ/C53IGOMsc514BJCCCGEEHtzi6dfCSGEEEJcHSV1hBBCCCEugJI6QgghhBAXQEkdIYQQQogLoKSOEEIIIcQFUFJHCCGEEOICKKkjhBBCCHEBlNQRQgghhLgASuoIIYQQQlwAJXWEEEIIIS6AkjpCCCGEEBdASR0hhBBCiAugpI4QQgghxAVQUkcIIYQQ4gIoqSOEEEIIcQGU1BFCCCGEuABK6gghhBBCXICHvXfAEej1ehQUFCAgIAAymczeu0MIIYQQwmOMoaamBpGRkZDLLbfHUVIHoKCgAFFRUfbeDUIIIYQQi3Jzc9GtWzeL71NSByAgIACAIViBgYF23hvHlXq1CGt+vo7i6kb+tbBAJd6e3A8T+4fbcc9MNesZzt2pRGltA0L9vTGsRxco5OK1wJqLiyUyAJpAJf71RiK/T6lXi5C84wKYmW0BYN2vBkkeX0sxtOb1YD8lfr/rEkpqzMfDXAzsWSapP8Mcc8eQXAboWx8URlq/39Fz0ZYySX1uic1Z6jQxtf4/rarXYel3jlUfSc0Rj4vq6mpERUXx+YolMsZYG9WGe6iuroZKpYJWq3WapK5Zz3DmdgVKahqgCfDGYzFq/uIqxOutpVwuxMt/P2/2RGcA3pjQGz1C/Dr02UKWNfVqEd7bcxWF2gb+7yNU3lgxrT8mDYgQ/Dsr63R45f8ejkt7/jAlDiEBSoT4KbH0uwsoqm4wu50MQLjKG8ffGi/ZxTPlcqHZGE4fFIHdFwqtet0a3744EqN6BXd4P205viyVydJxYeuxNbF/eIePdUvnlq24b/v8N0OtPtZtiUtb23am/ELr7LnL7fX/zB2CLn7KTpXJ1jpQqDrTWub+T9u6mZDBkNx89MxglNU2tlsfAxCk/GLGxdbjwpbzS0jW5imU1MH5kjohLrptvd66Qm/WMzy+9pDVF21bPlvIsgb5eqKq/v5Dn2HryWjLd7bXmiKUziZAgPkKE4AgSWpH/HZUNCYPiOhQBW1rMmLphgR4+Lgw99ltHVvMzPvtJTvc/0WR9h7++NM1VNTpbCq/JW1ddFuz5UatrQtdR8ovBFsS746cu63fb6tMwMPJi603Ac5yQ9paW/UxAKuPC1v+74SKi7nvbC+plfomm+NWSd3Ro0fx5z//GefOnUNhYSF27dqFmTNnWv33jpLUWXMy3imrx8cHMkW76Jq70KVllePZLadE+WxjYlU6HLWfJ/4w9RGEB9p+obO3T349GDMGdzV5rbMtVeYqXamSVGO2VtDtJWnGLSzWtIQaJ0FCnV9tJTsdbdnsKHMX0vbi0pqtx4WQyZ61F2NLibdQLJXJ3Hlk601Aezek1rYaOuINqTFby9/W5wCdi0tnjhchbrJt5VZJ3c8//4wTJ05g6NChmD17tlMmdbacjGJrfaG7WVyLDYdvCfbZ5u50bO0G6CwhWiSlxHXXdqQVQMrWt45or4I2vqhbk4zY42LlyCxdSB1pX2zp8nWEckjNXKvhH6bEmZwvjn6ei8FecTF3ky02t0rqjMlksnaTusbGRjQ2PhgAyQ1AtFdS56itQ2IyvtOxR/nNJRJlNY3440/XJNwL67SuuGxtBXCWJMdcBW2PmxoiPXOt+O5YL3aGs5znUhMjLo7cUueWT7+uXr0a7733nr13A4Chdei9PVfdruI6cauUb3lZuVv68nPft+TbdIevCFvvn6VWCmbhfUcvH6f1fhZqG7D56G377IwDaX1RcsWLN4MhsXtvz1X+6UJ3rBc7w9WOCaEIGReup4kbR+mI3DKpW758OZKTk/nfuZY6ezhzu8ItWyE2HM6y9y4AEK8ibD3YvCOtgM5+8Tbuxt9/pQhfp9219y45Fa71asOzQ8x2JwFwqaSHwZDI/+3EbVTW69yyXnQkzl7/CI07H1dM6+/Q0/i4ZVKnVCqhVCrtvRsAgJIaqrhcQesKMLzVGKFmPcNfj99GkbbB7IW49ThGR+0KthZX5a2c/ghGx4ZALpNRUmej1seQsc/lQx8aa+YqpD7u3aEl1Bbmbia4sazF1ebrL1fUXp3uqNwyqXMkmgBve++CzZaM64XeYQH8k4KAY7QY2GNAuKXWlNZPYSnkMqyY1h8v//08v5+tP4NLgADgx4x8KXbfImvHt1l6vXUF+FiMGhEqb4tJraNr76m91v+nHWXNE9oAMGlAhNmnWcW+6Foa3ylU+aXkbi2hllibvKycbr7+cjXW1umOipI6OxPqYifUPHXWGB0byg8S7RvuL/pTu9YmGOGtnv7k5gCrrNOJNheTLXdvkwZE4PPfPNzCYu4z7JXst1eh/dekOLNTUVh6ndNWUisUWyZNtTUJan1sWTu9hrVl5SL1p6cftbolQCGXmQzW7shF19KULoD5Gw9zx4UQ5ReCrdPI2NoSakuZbL0JsMdDTrYmL5bqL1vmqbO1/GJOx2LpO52lRc4Sl3j6tba2FrduGabcGDJkCNatW4dx48ZBrVaje/fu7f69vac04Z7yAqy/ANi6ioM1r7d3obM0HYk1n92RaVFsmerCUmVka2yNtZ5GRKiZza35DG56FSFbtsy1sgDmJwcVq0ITauoac5PsWmphaWuSYXPHRlvnlyWdnQhXqLi3NQWIpRZiayZfbm//bJ1LrjPJXmcnfO7M6gaWygR0fpLdtqYjgg3xsqWVvSPHnC3XGKDzkzK3NXFyZ+PiaKuhtMWtpjQ5cuQIxo0b99Dr8+fPx9/+9rd2/97eSR1g+yoRYl1427rQAR1fIqUjExiLeaFz1FnDjbWXdNjSCgCYT44B25bxEUJnK+i2jkVbE5KOJDC2cIRljzqyWoGYS/yZ2xdb2PtiLOZyWOaYO0bNEeImWCpC7ItQcXEWbpXUdZYjJHWAfS4A5ohxoWuv5clcy4sU6/sBwiavQrN1vU2hlhqSmpA3NY6+3qa9OFI5jffF2oeCloyLxejYEJf9/2mLufrrjz8533kuNHeKCyV1NnCUpM6RiHEBEKsVsDP74wwJkLskKY5yU0OkZc0NnyO0nDsaOi/Mc9W4UFJnA0rqpONoiZSrVgCEOBNHu+EjxNFQUmcDSuqkRYkUIaQ1R7vhI8SRUFJnA0rqCCHE/uiGjxDzaO1XQgghTqX13HuEENvI7b0DhBBCCCGk8yRvqbt48aLV2w4cOFDEPSGEEEIIcR2SJ3WDBw+GTCYDYwwyWdtjJZqbmyXaK0IIIYQQ5yZ59+vt27eRnZ2N27dvY+fOnYiJicHGjRuRnp6O9PR0bNy4Eb169cLOnTul3jVCCCGEEKcleUtddHQ0/+85c+bg008/xX/8x3/wrw0cOBBRUVH4wx/+gJkzZ0q9e4QQQgghTsmuD0pcunQJMTExD70eExODq1ev2mGPCCGEEEKck12Turi4OHzwwQdoaHgw2WRjYyM++OADxMXF2XHPCCGEEEKci13nqdu0aROmTZuGqKgoDBo0CABw4cIFyGQy7N271567RgghhBDiVOy+okR9fT3+/ve/4/r162CMoX///pg7dy78/Pwk2wdaUYIQQgghjsppVpTw9fXFSy+9ZO/dIIQQQghxapIndbt378bkyZPh6emJ3bt3t7nt9OnTJdorQgghhBDnJnn3q1wuR1FRETQaDeRyy89pyGQyySYfpu5XQgghhDgqh+1+1ev1Zv9NCCGEEEI6zq5TmphTVVVl710ghBBCCHE6dk3q1q5dix07dvC/z5kzB2q1Gl27dsWFCxfsuGeEEEIIIc7Frknd5s2bERUVBQBITU3FgQMHkJKSgsmTJ2PZsmX23DVCCCGEEKdi1ylNCgsL+aRu7969eOaZZ5CUlIQePXogPj7enrtGCCGEEOJU7NpS16VLF+Tm5gIAUlJSMGHCBAAAY0yyJ18JIYQQQlyBXVvqZs2ahblz56J3794oLy/H5MmTAQAZGRmIjY21564RQgghhDgVuyZ169evR48ePZCbm4sPP/wQ/v7+AAzdsosXL7bnrhFCCCGEOBW7r/3qCGjyYUIIIYQ4KmvzFLvPU/fNN9/g8ccfR2RkJO7evQsA+Pjjj/Hjjz/aec8IIYQQQpyHXZO6zz//HMnJyZg8eTKqqqr4hyOCgoLw8ccf23PXCCGEEEKcil2Tus8++wxbtmzBO++8A4VCwb8+fPhwXLp0yY57RgghhBDiXOya1N2+fRtDhgx56HWlUom6ujo77BEhhBBCiHOya1IXExODjIyMh17/+eefERcXJ/0OEUIIIYQ4KbtOabJs2TK88soraGhoAGMMZ86cwbfffos//elP2Lp1qz13jRBCCCHEqdg1qXvhhRfQ1NSE//qv/0J9fT3mzp2Lrl274rPPPsOYMWPsuWuEEEIIIU7F7lOavPjii7h79y5KSkpQVFSEM2fOID09nVaUIIQQQgixgV2SuqqqKjz33HMIDQ1FZGQkPv30U6jVavzP//wPYmNjcerUKXz55Zf22DVCCCGEEKdkl+7X3//+9zh69Cjmz5+PlJQUvPHGG0hJSUFDQwP27duHxMREe+wWIYQQQojTsktS99NPP2Hbtm2YMGECFi9ejNjYWPTp04cmHCaEEEII6SC7dL8WFBSgf//+AICePXvC29sbCxcutMeuEEIIIYS4BLskdXq9Hp6envzvCoUCfn5+9tgVQgghhBCXYJfuV8YYnn/+eSiVSgBAQ0MDFi1a9FBi9/3339tj9wghhBBCnI5dkrr58+eb/P6b3/zGHrtBCCGEEOIy7JLUbdu2zR5fSwghhBDisuw++TAhhBBCCOk8SuoIIYQQQlwAJXWEEEIIIS6AkjpCCCGEEBdASR0hhBBCiAugpI4QQgghxAVQUkcIIYQQ4gIoqSOEEEIIcQEuk9Rt3LgRMTEx8Pb2xrBhw3Ds2DF77xIhhBBCiGTssqKE0Hbs2IHXX38dGzduxOjRo7F582ZMnjwZV69eRffu3a3+nLq6OigUChH3lBBCCCHENnV1dVZtJ2OMMZH3RXTx8fEYOnQoPv/8c/61uLg4zJw5E6tXr35o+8bGRjQ2NvK/V1dXIyoqSpJ9JYQQQgjpCK1Wi8DAQIvvO333q06nw7lz55CUlGTyelJSEk6ePGn2b1avXg2VSsX/UEJHCCGEEGfn9N2vZWVlaG5uRlhYmMnrYWFhKCoqMvs3y5cvR3JyMv8711JXUFDQZgZMCCGEECK16upqREZGtrud0yd1HJlMZvI7Y+yh1zhKpRJKpdJkWwBobm5Gc3OzeDtJCCGEEGIjLjdpb8Sc0yd1ISEhUCgUD7XKlZSUPNR6Z0l5eTkAUDcsIYQQQhxWTU0NVCqVxfedPqnz8vLCsGHDkJqaiqeffpp/PTU1FTNmzLDqM9RqNQAgJyenzWC5G65bOjc3l7qljVBczKO4mEdxMY/iYh7FxTx3jwtjDDU1Ne12wTp9UgcAycnJmDdvHoYPH45Ro0bhiy++QE5ODhYtWmTV38vlhudFVCqVWx4s7QkMDKS4mEFxMY/iYh7FxTyKi3kUF/PcOS7WNDq5RFL3q1/9CuXl5Xj//fdRWFiIAQMGYN++fYiOjrb3rhFCCCGESMIlkjoAWLx4MRYvXmzv3SCEEEIIsQunn6dOCEqlEitWrDB5IpZQXCyhuJhHcTGP4mIexcU8iot5FBfruMSKEoQQQggh7o5a6gghhBBCXAAldYQQQgghLoCSOkIIIYQQF0BJHSGEEEKIC6CkjhBCCCHEBbhMUnf06FFMmzYNkZGRkMlk+OGHH0zeLy4uxvPPP4/IyEj4+vpi0qRJuHnzpsk2WVlZePrppxEaGorAwEA888wzKC4uNtmmR48ekMlkJj9vv/222MXrMKniAgA//fQT4uPj4ePjg5CQEMyaNUvMonWKFHE5cuTIQ8cK93P27FkpimkzqY6XzMxMzJgxAyEhIQgMDMTo0aNx+PBhsYvXYVLF5fz585g4cSKCgoIQHByMl156CbW1tWIXr0NWr16NESNGICAgABqNBjNnzsSNGzdMtmGMYeXKlYiMjISPjw/Gjh2LK1eumGzT2NiIV199FSEhIfDz88P06dORl5dnsk1lZSXmzZsHlUoFlUqFefPmoaqqSuwidoiUcVm1ahUSEhLg6+uLoKAgsYvWKVLF5c6dO1iwYAFiYmLg4+ODXr16YcWKFdDpdJKU095cJqmrq6vDoEGDsGHDhofeY4xh5syZyM7Oxo8//oj09HRER0djwoQJqKur4/8+KSkJMpkMhw4dwokTJ6DT6TBt2jTo9XqTz+NWruB+3n33XUnK2BFSxWXnzp2YN28eXnjhBVy4cAEnTpzA3LlzJSunraSIS0JCgslxUlhYiIULF6JHjx4YPny4pOW1llTHy5QpU9DU1IRDhw7h3LlzGDx4MKZOnYqioiLJymoLKeJSUFCACRMmIDY2FqdPn0ZKSgquXLmC559/XsqiWu2XX37BK6+8glOnTiE1NRVNTU1ISkriywwAH374IdatW4cNGzbg7NmzCA8Px8SJE1FTU8Nv8/rrr2PXrl3Yvn07jh8/jtraWkydOhXNzc38NnPnzkVGRgZSUlKQkpKCjIwMzJs3T9LyWkvKuOh0OsyZMwcvv/yypGXsCKnicv36dej1emzevBlXrlzB+vXrsWnTJvz+97+XvMx2wVwQALZr1y7+9xs3bjAA7PLly/xrTU1NTK1Wsy1btjDGGNu/fz+Ty+VMq9Xy21RUVDAALDU1lX8tOjqarV+/XvQyiEGsuNy/f5917dqV/fWvf5WmIAIT83gxptPpmEajYe+//744BRGYWHEpLS1lANjRo0f5baqrqxkAduDAAZFL1XlixWXz5s1Mo9Gw5uZmfpv09HQGgN28eVPkUnVeSUkJA8B++eUXxhhjer2ehYeHszVr1vDbNDQ0MJVKxTZt2sQYY6yqqop5enqy7du389vk5+czuVzOUlJSGGOMXb16lQFgp06d4rdJS0tjANj169elKFqniBUXY9u2bWMqlUrcgghMirhwPvzwQxYTEyNSSRyLy7TUtaWxsREA4O3tzb+mUCjg5eWF48eP89vIZDKT2aq9vb0hl8v5bThr165FcHAwBg8ejFWrVjlts65QcTl//jzy8/Mhl8sxZMgQREREYPLkyQ81mzsLoY8Xzu7du1FWVuawLS/tESouwcHBiIuLw9dff426ujo0NTVh8+bNCAsLw7BhwyQskTCEiktjYyO8vLwglz+oln18fADA4jHlSLRaLQBArVYDAG7fvo2ioiIkJSXx2yiVSiQmJuLkyZMAgHPnzuH+/fsm20RGRmLAgAH8NmlpaVCpVIiPj+e3GTlyJFQqFb+NIxMrLs5OyrhotVr+e1ydWyR1/fr1Q3R0NJYvX47KykrodDqsWbMGRUVFKCwsBGCoJPz8/PDWW2+hvr4edXV1WLZsGfR6Pb8NALz22mvYvn07Dh8+jCVLluDjjz922jVnhYpLdnY2AGDlypV49913sXfvXnTp0gWJiYmoqKiwW/k6SsjjxdjWrVvx1FNPISoqSsriCEaouMhkMqSmpiI9PR0BAQHw9vbG+vXrkZKS4vDjgswRKi7jx49HUVER/vznP0On06GyspLvMrJ0TDkKxhiSk5Px+OOPY8CAAQDAd6WHhYWZbBsWFsa/V1RUBC8vL3Tp0qXNbTQazUPfqdFoHLa7niNmXJyZlHHJysrCZ599hkWLFgldDIfkFkmdp6cndu7ciczMTKjVavj6+uLIkSOYPHkyFAoFACA0NBTfffcd9uzZA39/f6hUKmi1WgwdOpTfBgDeeOMNJCYmYuDAgVi4cCE2bdqErVu3ory83F7F6zCh4sKNCXrnnXcwe/ZsDBs2DNu2bYNMJsN3331nt/J1lJDHCycvLw/79+/HggULpC6OYISKC2MMixcvhkajwbFjx3DmzBnMmDEDU6dOdfjkxRyh4vLII4/gq6++wkcffQRfX1+Eh4ejZ8+eCAsLM3tMOZIlS5bg4sWL+Pbbbx96TyaTmfzOGHvotdZab2Nue2s+x97EjouzkiouBQUFmDRpEubMmYOFCxd2bqedhIe9d0Aqw4YNQ0ZGBrRaLXQ6HUJDQxEfH28yYD0pKQlZWVkoKyuDh4cHgoKCEB4ejpiYGIufO3LkSADArVu3EBwcLHo5hCZEXCIiIgAA/fv35/9GqVSiZ8+eyMnJkbZAAhH6eNm2bRuCg4Mxffp0KYshOCHicujQIezduxeVlZUIDAwEAGzcuBGpqan46quvHPppckuEOl7mzp2LuXPnori4GH5+fpDJZFi3bl2bdZC9vfrqq9i9ezeOHj2Kbt268a+Hh4cDMLSucHUEAJSUlPCtMeHh4XyrpHHrS0lJCRISEvhtzD1tX1pa+lCrjiMROy7OSqq4FBQUYNy4cRg1ahS++OILMYvkWOw0lk9UaDWQ2ZzMzEwml8vZ/v37LW5z8OBBJpPJ2hyMu2fPHgaA3b17t6O7Kxmx4qLVaplSqTR5UIJ7KGDz5s2C7LuYxD5e9Ho9i4mJYUuXLhVidyUjVlx2797N5HI5q6mpMdmuT58+bNWqVZ3eb7FJWb9s3bqV+fr6ssrKyg7urXj0ej175ZVXWGRkJMvMzDT7fnh4OFu7di3/WmNjo9mB7zt27OC3KSgoMPugxOnTp/ltTp065bAPSkgVF2PO8KCElHHJy8tjvXv3Zr/+9a9ZU1OTiKVyPC6T1NXU1LD09HT+abF169ax9PR0Ptn6xz/+wQ4fPsyysrLYDz/8wKKjo9msWbNMPuPLL79kaWlp7NatW+ybb75harWaJScn8++fPHmS/9zs7Gy2Y8cOFhkZyaZPny5pWW0hRVwYY+y1115jXbt2Zfv372fXr19nCxYsYBqNhlVUVEhWVltIFRfGGDtw4AADwK5evSpJ2TpDiriUlpay4OBgNmvWLJaRkcFu3LjB3nzzTebp6ckyMjIkLa+1pDpePvvsM3bu3Dl248YNtmHDBubj48M++eQTycppi5dffpmpVCp25MgRVlhYyP/U19fz26xZs4apVCr2/fffs0uXLrFnn32WRUREsOrqan6bRYsWsW7durEDBw6w8+fPs/Hjx7NBgwaZXIwnTZrEBg4cyNLS0lhaWhp79NFH2dSpUyUtr7WkjMvdu3dZeno6e++995i/vz9/jLa+YXIEUsUlPz+fxcbGsvHjx7O8vDyT73IHLpPUHT58mAF46Gf+/PmMMcY++eQT1q1bN+bp6cm6d+/O3n33XdbY2GjyGW+99RYLCwtjnp6erHfv3uyjjz5ier2ef//cuXMsPj6eqVQq5u3tzfr27ctWrFjB6urqpCyqTaSIC2OGlrmlS5cyjUbDAgIC2IQJE0ymeHA0UsWFMcaeffZZlpCQIEWxOk2quJw9e5YlJSUxtVrNAgIC2MiRI9m+ffukKqbNpIrLvHnzmFqtZl5eXmzgwIHs66+/lqqINjMXDwBs27Zt/DZ6vZ6tWLGChYeHM6VSyZ544gl26dIlk8+5d+8eW7JkCVOr1czHx4dNnTqV5eTkmGxTXl7OnnvuORYQEMACAgLYc88955Ctl4xJG5f58+eb/a7Dhw9LUFLbSBWXbdu2WfwudyBjjLHOdeASQgghhBB7c4unXwkhhBBCXB0ldYQQQgghLoCSOkIIIYQQF0BJHSGEEEKIC6CkjhBCCCHEBVBSRwghhBDiAiipI4QQQghxAZTUEUIIIYS4AErqCCGEEEJcACV1hBBCCCEugJI6QgghhBAX8P8AqSGOEiLr/VQAAAAASUVORK5CYII=\n",
"text/plain": "<Figure size 640x480 with 4 Axes>"
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 640x480 with 4 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:21.803161Z",
"start_time": "2023-07-19T05:05:16.504690Z"
},
"trusted": false
},
"id": "889a09d6",
"cell_type": "code",
"source": "# Fit auto_arima function to AirPassengers dataset\nstepwise_fit = auto_arima(airline['Passengers'], start_p = 1, start_q = 1,\n max_p = 3, max_q = 3, m = 12,\n start_P = 0, seasonal = True,\n d = None, D = 1, trace = True,\n error_action ='ignore', # we don't want to know if an order does not work\n suppress_warnings = True, # we don't want convergence warnings\n stepwise = True) ",
"execution_count": 8,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "Performing stepwise search to minimize aic\n ARIMA(1,1,1)(0,1,1)[12] : AIC=618.049, Time=0.42 sec\n ARIMA(0,1,0)(0,1,0)[12] : AIC=622.012, Time=0.06 sec\n ARIMA(1,1,0)(1,1,0)[12] : AIC=615.965, Time=0.17 sec\n ARIMA(0,1,1)(0,1,1)[12] : AIC=616.628, Time=0.24 sec\n ARIMA(1,1,0)(0,1,0)[12] : AIC=618.192, Time=0.09 sec\n ARIMA(1,1,0)(2,1,0)[12] : AIC=617.814, Time=0.43 sec\n ARIMA(1,1,0)(1,1,1)[12] : AIC=617.881, Time=0.36 sec\n ARIMA(1,1,0)(0,1,1)[12] : AIC=616.531, Time=0.25 sec\n ARIMA(1,1,0)(2,1,1)[12] : AIC=inf, Time=1.55 sec\n ARIMA(0,1,0)(1,1,0)[12] : AIC=618.221, Time=0.14 sec\n ARIMA(2,1,0)(1,1,0)[12] : AIC=617.862, Time=0.23 sec\n ARIMA(1,1,1)(1,1,0)[12] : AIC=617.462, Time=0.28 sec\n ARIMA(0,1,1)(1,1,0)[12] : AIC=616.076, Time=0.18 sec\n ARIMA(2,1,1)(1,1,0)[12] : AIC=619.394, Time=0.49 sec\n ARIMA(1,1,0)(1,1,0)[12] intercept : AIC=617.784, Time=0.36 sec\n\nBest model: ARIMA(1,1,0)(1,1,0)[12] \nTotal fit time: 5.252 seconds\n"
}
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:21.858563Z",
"start_time": "2023-07-19T05:05:21.806947Z"
},
"trusted": false
},
"id": "8f80535a",
"cell_type": "code",
"source": "stepwise_fit.summary()",
"execution_count": 9,
"outputs": [
{
"data": {
"text/html": "<table class=\"simpletable\">\n<caption>SARIMAX Results</caption>\n<tr>\n <th>Dep. Variable:</th> <td>y</td> <th> No. Observations: </th> <td>96</td> \n</tr>\n<tr>\n <th>Model:</th> <td>SARIMAX(1, 1, 0)x(1, 1, 0, 12)</td> <th> Log Likelihood </th> <td>-304.983</td>\n</tr>\n<tr>\n <th>Date:</th> <td>Wed, 19 Jul 2023</td> <th> AIC </th> <td>615.965</td>\n</tr>\n<tr>\n <th>Time:</th> <td>10:35:21</td> <th> BIC </th> <td>623.222</td>\n</tr>\n<tr>\n <th>Sample:</th> <td>01-01-1995</td> <th> HQIC </th> <td>618.881</td>\n</tr>\n<tr>\n <th></th> <td>- 12-01-2002</td> <th> </th> <td> </td> \n</tr>\n<tr>\n <th>Covariance Type:</th> <td>opg</td> <th> </th> <td> </td> \n</tr>\n</table>\n<table class=\"simpletable\">\n<tr>\n <td></td> <th>coef</th> <th>std err</th> <th>z</th> <th>P>|z|</th> <th>[0.025</th> <th>0.975]</th> \n</tr>\n<tr>\n <th>ar.L1</th> <td> -0.2250</td> <td> 0.099</td> <td> -2.276</td> <td> 0.023</td> <td> -0.419</td> <td> -0.031</td>\n</tr>\n<tr>\n <th>ar.S.L12</th> <td> -0.2274</td> <td> 0.089</td> <td> -2.548</td> <td> 0.011</td> <td> -0.402</td> <td> -0.052</td>\n</tr>\n<tr>\n <th>sigma2</th> <td> 90.2700</td> <td> 14.667</td> <td> 6.155</td> <td> 0.000</td> <td> 61.524</td> <td> 119.016</td>\n</tr>\n</table>\n<table class=\"simpletable\">\n<tr>\n <th>Ljung-Box (L1) (Q):</th> <td>0.00</td> <th> Jarque-Bera (JB): </th> <td>2.23</td>\n</tr>\n<tr>\n <th>Prob(Q):</th> <td>0.97</td> <th> Prob(JB): </th> <td>0.33</td>\n</tr>\n<tr>\n <th>Heteroskedasticity (H):</th> <td>1.77</td> <th> Skew: </th> <td>0.39</td>\n</tr>\n<tr>\n <th>Prob(H) (two-sided):</th> <td>0.14</td> <th> Kurtosis: </th> <td>2.79</td>\n</tr>\n</table><br/><br/>Warnings:<br/>[1] Covariance matrix calculated using the outer product of gradients (complex-step).",
"text/plain": "<class 'statsmodels.iolib.summary.Summary'>\n\"\"\"\n SARIMAX Results \n==========================================================================================\nDep. Variable: y No. Observations: 96\nModel: SARIMAX(1, 1, 0)x(1, 1, 0, 12) Log Likelihood -304.983\nDate: Wed, 19 Jul 2023 AIC 615.965\nTime: 10:35:21 BIC 623.222\nSample: 01-01-1995 HQIC 618.881\n - 12-01-2002 \nCovariance Type: opg \n==============================================================================\n coef std err z P>|z| [0.025 0.975]\n------------------------------------------------------------------------------\nar.L1 -0.2250 0.099 -2.276 0.023 -0.419 -0.031\nar.S.L12 -0.2274 0.089 -2.548 0.011 -0.402 -0.052\nsigma2 90.2700 14.667 6.155 0.000 61.524 119.016\n===================================================================================\nLjung-Box (L1) (Q): 0.00 Jarque-Bera (JB): 2.23\nProb(Q): 0.97 Prob(JB): 0.33\nHeteroskedasticity (H): 1.77 Skew: 0.39\nProb(H) (two-sided): 0.14 Kurtosis: 2.79\n===================================================================================\n\nWarnings:\n[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n\"\"\""
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:21.874568Z",
"start_time": "2023-07-19T05:05:21.858563Z"
},
"trusted": false
},
"id": "fed303d1",
"cell_type": "code",
"source": "# Split data into train / test sets\ntrain = airline.iloc[:len(airline)-12]\ntest = airline.iloc[len(airline)-12:] # set one year(12 months) for testing",
"execution_count": 10,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:21.891275Z",
"start_time": "2023-07-19T05:05:21.882813Z"
},
"trusted": false
},
"id": "82ff5cb2",
"cell_type": "code",
"source": "# Fit a SARIMAX(1, 1, 0)x(1, 1, 0, 12)\t on the training set\nfrom statsmodels.tsa.statespace.sarimax import SARIMAX",
"execution_count": 11,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:21.931807Z",
"start_time": "2023-07-19T05:05:21.894971Z"
},
"trusted": false
},
"id": "a66fa70a",
"cell_type": "code",
"source": "model = SARIMAX(train['Passengers'],order = (1, 1, 0), seasonal_order =(1, 1, 0, 12))",
"execution_count": 12,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:22.157204Z",
"start_time": "2023-07-19T05:05:21.931807Z"
},
"trusted": false
},
"id": "c8182db3",
"cell_type": "code",
"source": "result = model.fit()\nresult.summary() ",
"execution_count": 13,
"outputs": [
{
"data": {
"text/html": "<table class=\"simpletable\">\n<caption>SARIMAX Results</caption>\n<tr>\n <th>Dep. Variable:</th> <td>Passengers</td> <th> No. Observations: </th> <td>84</td> \n</tr>\n<tr>\n <th>Model:</th> <td>SARIMAX(1, 1, 0)x(1, 1, 0, 12)</td> <th> Log Likelihood </th> <td>-262.555</td>\n</tr>\n<tr>\n <th>Date:</th> <td>Wed, 19 Jul 2023</td> <th> AIC </th> <td>531.110</td>\n</tr>\n<tr>\n <th>Time:</th> <td>10:35:22</td> <th> BIC </th> <td>537.898</td>\n</tr>\n<tr>\n <th>Sample:</th> <td>01-01-1995</td> <th> HQIC </th> <td>533.810</td>\n</tr>\n<tr>\n <th></th> <td>- 12-01-2001</td> <th> </th> <td> </td> \n</tr>\n<tr>\n <th>Covariance Type:</th> <td>opg</td> <th> </th> <td> </td> \n</tr>\n</table>\n<table class=\"simpletable\">\n<tr>\n <td></td> <th>coef</th> <th>std err</th> <th>z</th> <th>P>|z|</th> <th>[0.025</th> <th>0.975]</th> \n</tr>\n<tr>\n <th>ar.L1</th> <td> -0.2377</td> <td> 0.108</td> <td> -2.204</td> <td> 0.028</td> <td> -0.449</td> <td> -0.026</td>\n</tr>\n<tr>\n <th>ar.S.L12</th> <td> -0.2595</td> <td> 0.097</td> <td> -2.685</td> <td> 0.007</td> <td> -0.449</td> <td> -0.070</td>\n</tr>\n<tr>\n <th>sigma2</th> <td> 94.2022</td> <td> 16.779</td> <td> 5.614</td> <td> 0.000</td> <td> 61.315</td> <td> 127.089</td>\n</tr>\n</table>\n<table class=\"simpletable\">\n<tr>\n <th>Ljung-Box (L1) (Q):</th> <td>0.00</td> <th> Jarque-Bera (JB): </th> <td>2.31</td>\n</tr>\n<tr>\n <th>Prob(Q):</th> <td>0.98</td> <th> Prob(JB): </th> <td>0.32</td>\n</tr>\n<tr>\n <th>Heteroskedasticity (H):</th> <td>2.60</td> <th> Skew: </th> <td>0.41</td>\n</tr>\n<tr>\n <th>Prob(H) (two-sided):</th> <td>0.02</td> <th> Kurtosis: </th> <td>2.68</td>\n</tr>\n</table><br/><br/>Warnings:<br/>[1] Covariance matrix calculated using the outer product of gradients (complex-step).",
"text/plain": "<class 'statsmodels.iolib.summary.Summary'>\n\"\"\"\n SARIMAX Results \n==========================================================================================\nDep. Variable: Passengers No. Observations: 84\nModel: SARIMAX(1, 1, 0)x(1, 1, 0, 12) Log Likelihood -262.555\nDate: Wed, 19 Jul 2023 AIC 531.110\nTime: 10:35:22 BIC 537.898\nSample: 01-01-1995 HQIC 533.810\n - 12-01-2001 \nCovariance Type: opg \n==============================================================================\n coef std err z P>|z| [0.025 0.975]\n------------------------------------------------------------------------------\nar.L1 -0.2377 0.108 -2.204 0.028 -0.449 -0.026\nar.S.L12 -0.2595 0.097 -2.685 0.007 -0.449 -0.070\nsigma2 94.2022 16.779 5.614 0.000 61.315 127.089\n===================================================================================\nLjung-Box (L1) (Q): 0.00 Jarque-Bera (JB): 2.31\nProb(Q): 0.98 Prob(JB): 0.32\nHeteroskedasticity (H): 2.60 Skew: 0.41\nProb(H) (two-sided): 0.02 Kurtosis: 2.68\n===================================================================================\n\nWarnings:\n[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n\"\"\""
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:22.188548Z",
"start_time": "2023-07-19T05:05:22.165205Z"
},
"trusted": false
},
"id": "5c54e700",
"cell_type": "code",
"source": "#Predictions of ARIMA Model against the test set\nstart = len(train)\nend = len(train) + len(test) - 1",
"execution_count": 14,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:22.252589Z",
"start_time": "2023-07-19T05:05:22.194170Z"
},
"trusted": false
},
"id": "69678ccc",
"cell_type": "code",
"source": "# Predictions for one-year against the test set\npredictions = result.predict(start, end, typ = 'levels').rename(\"Predictions\")",
"execution_count": 15,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:22.694644Z",
"start_time": "2023-07-19T05:05:22.256578Z"
},
"trusted": false
},
"id": "13095436",
"cell_type": "code",
"source": "# plot predictions and actual values\npredictions.plot(legend = True)\ntest['Passengers'].plot(legend = True) ",
"execution_count": 16,
"outputs": [
{
"data": {
"text/plain": "<AxesSubplot:xlabel='Month'>"
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": "<Figure size 640x480 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:22.710464Z",
"start_time": "2023-07-19T05:05:22.698171Z"
},
"trusted": false
},
"id": "f40ed37f",
"cell_type": "code",
"source": "# Load specific evaluation tools\nfrom sklearn.metrics import mean_squared_error\nfrom statsmodels.tools.eval_measures import rmse ",
"execution_count": 17,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:22.766752Z",
"start_time": "2023-07-19T05:05:22.714738Z"
},
"trusted": false
},
"id": "355b2a09",
"cell_type": "code",
"source": "# Calculate root mean squared error\nrmse(test[\"Passengers\"], predictions)",
"execution_count": 18,
"outputs": [
{
"data": {
"text/plain": "10.331675894264533"
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:22.799121Z",
"start_time": "2023-07-19T05:05:22.766752Z"
},
"trusted": false
},
"id": "05625c38",
"cell_type": "code",
"source": "#Forecast using ARIMA Model\n# Train the model on the full dataset\nmodel = model = SARIMAX(airline['Passengers'], \n order = (1, 1, 0), \n seasonal_order =(1, 1, 0, 12))",
"execution_count": 19,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:23.004380Z",
"start_time": "2023-07-19T05:05:22.799121Z"
},
"trusted": false
},
"id": "af8cc6e7",
"cell_type": "code",
"source": "result = model.fit()",
"execution_count": 20,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:23.053379Z",
"start_time": "2023-07-19T05:05:23.008722Z"
},
"trusted": false
},
"id": "9e523c6b",
"cell_type": "code",
"source": "# Forecast for the next 5 years\nforecast = result.predict(start = len(airline), \n end = (len(airline)-1) + 5 * 12, \n typ = 'levels').rename('Forecast')",
"execution_count": 21,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-19T05:05:23.589506Z",
"start_time": "2023-07-19T05:05:23.053655Z"
},
"scrolled": true,
"trusted": false
},
"id": "4ce5e5b5",
"cell_type": "code",
"source": "# Plot the forecast values\nairline['Passengers'].plot(figsize = (12, 5), legend = True)\nforecast.plot(legend = True)",
"execution_count": 22,
"outputs": [
{
"data": {
"text/plain": "<AxesSubplot:xlabel='Month'>"
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 1200x500 with 1 Axes>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": false
},
"id": "72af01cc",
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"kernelspec": {
"name": "python3",
"display_name": "Python 3 (ipykernel)",
"language": "python"
},
"language_info": {
"name": "python",
"version": "3.9.13",
"mimetype": "text/x-python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"pygments_lexer": "ipython3",
"nbconvert_exporter": "python",
"file_extension": ".py"
},
"gist": {
"id": "",
"data": {
"description": "!excelR/assignments/Gists/Forecasting (AirLines).ipynb",
"public": true
}
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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