{ "cells": [ { "cell_type": "code", "execution_count": 2, "id": "9286e0b8-3c78-4b0f-943c-d219e9840dfe", "metadata": { "papermill": { "duration": 0.014825, "end_time": "2024-01-31T17:50:26.847199", "exception": false, "start_time": "2024-01-31T17:50:26.832374", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "# Import to be able to import python package from src\n", "import sys\n", "sys.path.insert(0, '../src')" ] }, { "cell_type": "code", "execution_count": 3, "id": "2028eed7-b1c3-4c9e-b6a0-00433caa7d0f", "metadata": { "papermill": { "duration": 2.515115, "end_time": "2024-01-31T17:50:29.365394", "exception": false, "start_time": "2024-01-31T17:50:26.850279", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "The `LightGBM` module could not be imported. To enable LightGBM support in Darts, follow the detailed instructions in the installation guide: https://github.com/unit8co/darts/blob/master/INSTALL.md\n", "The `Prophet` module could not be imported. To enable Prophet support in Darts, follow the detailed instructions in the installation guide: https://github.com/unit8co/darts/blob/master/INSTALL.md\n" ] } ], "source": [ "import pandas as pd\n", "import numpy as np\n", "import ontime as on" ] }, { "cell_type": "markdown", "id": "41296cc6-9d84-47c5-8a92-2d292f6f3c4a", "metadata": { "papermill": { "duration": 0.008378, "end_time": "2024-01-31T17:50:26.827798", "exception": false, "start_time": "2024-01-31T17:50:26.819420", "status": "completed" }, "tags": [] }, "source": [ "# Generators\n", "\n", "Generators allow you to create a type of TimeSeries that is generated automatically. A generated TimeSeries generally has some specific characteristics, like being constant or random." ] }, { "cell_type": "markdown", "id": "047ee4b8-3f9c-4cca-8fe3-53200301a013", "metadata": { "papermill": { "duration": 0.002167, "end_time": "2024-01-31T17:50:29.840956", "exception": false, "start_time": "2024-01-31T17:50:29.838789", "status": "completed" }, "tags": [] }, "source": [ "## Constant time series" ] }, { "cell_type": "code", "execution_count": 8, "id": "b6723710-34ae-4d60-b120-5dce3df07989", "metadata": { "papermill": { "duration": 0.131949, "end_time": "2024-01-31T17:50:29.974992", "exception": false, "start_time": "2024-01-31T17:50:29.843043", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "on.generators.constant().generate(1, pd.Timestamp('2022-01-01'), pd.Timestamp('2022-12-31')).plot();" ] }, { "cell_type": "markdown", "id": "a389170d-8cce-4cd2-8bd2-a6bf2403213c", "metadata": { "papermill": { "duration": 0.002476, "end_time": "2024-01-31T17:50:29.979903", "exception": false, "start_time": "2024-01-31T17:50:29.977427", "status": "completed" }, "tags": [] }, "source": [ "## Gaussian Noise TimeSeries" ] }, { "cell_type": "code", "execution_count": 9, "id": "ae82840b-2bf5-4d9b-936c-7355cd7da95d", "metadata": { "papermill": { "duration": 0.144445, "end_time": "2024-01-31T17:50:30.126581", "exception": false, "start_time": "2024-01-31T17:50:29.982136", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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PiuMxZ86c6P/Tpk1TLoNd/vOf/+CJJ57ArbfeitmzZ3u2Xy8JVu+ZQAQtJuhEZ2/F8RDFwoPseKiEWpx+AvTiiVJ0Pc6bN8/1/fpFJBLBr7/+6lqIEXAnzyMIOR68oAqa4xEU4fHXX39F/2/RooVyGezy9NNPR/9/5plnPNuvl5DwsEjQnhKceDqz4niI1vG7IbObXOr0ufVLeCQzt9xyC9q2bYtLL73U9rZkdedGnoffoZZwOBwnvoPWlvmR4yG6BvwSHh06dIj+/+OPP3q2Xy8h4WGRoDX0TggPK46H6Eb3ex4PvY5eVDa3czy8cICCdj26zWOPPQYAePPNN21vy0vHw2/hEQqF4q5Hvx8UeIIynJYVHgUFBcplsEvbtm2j/2/ZssWz/XoJCQ+LBO0pwYnOTdQA1UTHY+HChTjnnHPwyy+/OFIeL+pDdsxBu06DiJfCw+8cD3I8qlFxPNjz76Vg5BPC3Rph5SckPCzi5xPmvn37sHz58pjv3Aq1+OV42MFucikAzJ8/H+edd54j5fEz1OK3CEwEZNeLGw2+HzkefKgl6JNnmREe/HXvlOOxa9eumM9etml8WVatWuXZvr2ChIdF/LpZq6qqcMIJJ+Af//hHzPduOR78xEqi8qhsxyx+zuOhsXbtWstlYPFTePgtAhMBCrUES5yaCbVYnfrcaL01a9bEfPZTePAPmckACQ+L+CU8fv31V/z2229x37vleBg99SWD4+G2lelnjkfQOpUg4qXj4XeoRSQ8gu54mHnpo1MTiP3xxx/KZXAa/l4eNWoUli1b5tn+vYCEh0WClsznVnKpFeGRaI6H00+2r732Gvr164fvv/8eADkebmP3XvSy7vxoN4xGtQRNnJoJtbglPNavXx/z2U/H49ChQ3jkkUc8278X0MylFvHrKUH2xOTEjSE6JiuhFr9HtfjpeJSVlWHw4MEAgE8++QT79++nHA+XqaqqshXCkF0vbnQ2frQbvOORTDkeVt+5YrSen++fEh3v9u3bPdu/F5DjYZGgCY9kczzsbMNP4VFSUhL9v7i4WLpPp/Gy8wwadutXVndunDc/HA+jUS1BE6dmcjycEh5GYsdv4ZFs9zEJD4v4FWqRvTsi2XI8nBQe7LlyO9QimkKecjzcJZGEhx8PLMk8gZhToRYjseO38HBj+n4/IeFhEb9uVpnwcKuzTwbHg21UVIfTWkX00jzK8XAXu/diTRIeQPw14Zc4feqpp3DBBRdg9erVMd/7EWox2qeXdVQTHA/K8bBIMiaXBinHw86NLmpUtBCVmeG0VuCFR2VlJeV4uIzdY/RStHkpPCKRCFasWBFzTUYikUDkeGzYsAHXX389gOppwf/888/ob3ZCLcnqeCSb8CDHwyJ+OR6yRtavHA/ROkFzPNjPbud48KGWffv2kePhMkb1u2zZMrRv3x533nmn8PdkdTzGjRuHzp07x8xJEYlEAhFqKSoqiv7Pz5cTBMfDKNnUTWpCqIUcD0XsvD/ASdxMIgxSjoedbfgpPHjHY/fu3ZTj4TJGx3jqqacCAH7++WeMGDEi7r0byZpcet999wn3L7oeWVfQC/TqIQjCgxwPdyHHQxGrF7jTyG5CGtXyN3qNiNvJpbzw2LNnDzkeLmOmfnfv3h33XbI6HrL9y4SHl7glPNwKtVCOh7OQ8GCYMmUKrrnmGmzbti3utyDYk3r7pRyPvwma4+HncNqa4HhQcqk6ohwPwPvrRE948L+5MXOpkbjx0/EQ1Q2FWpKU77//HiNHjgQA7Ny5E2+99VbM70F3PGhUy9+YdTzcFB7keDiPmY7JyvY0Ej25VIReqMXrcsgIwgRiXguP/fv3Y/v27WjVqhU5HjWJL7/8Mvr/rFmz4n6vqY5HMszjYeR4iObesIpIeFCOh7M4bYPL7qmdO3di8eLFtrZv9e2pbiELtXh9nei1n/xvv/32G+bPn6/k1CRijsfBgwdx+OGHo3Xr1vjggw9i9p2Wlgag+m25AwcOxN133+1aObyEhMf/MBISySQ8du3ahTlz5sR1uDXB8XBbePDb8irUUpMcDzeFB/va+ltuuQXdu3cXJmmqEpR2QyMRHA/+tz///BPnnHMOZsyYEbesWzkeTrtqerz00kvR8H6fPn1ijiEjIyP6/6xZszB+/HgsXLjQtbJ4BQmP/2F0YfE3q19PLrJymulgevXqhQsuuAD/+te/Yr6vCTkeorKx05zbJWihlmR0PPhjMnOMonoSPWGyfPHFFyZKFwv/QBAE4RH0HA9ZHV155ZVx3yWD48Ent7P7Tk9Pj1v+u+++c60sXlHjhEdJSYlh4yMiKE8uTjge//3vfwEA06ZNi/m+pjoe2jtVnCBooZZkdDzsCA/RskbCw0h86xFE4REEx0PvujRTFrfeThuU4bQi4eHlsGe3SPwjMMG8efPQuXNndO/eHVOmTMFll10Wff2x0QUb9ORSVeFh9kkjEXM89BoVrx0Pv0Mtyeh4mEk+5DHqdJ0WHkFxSjWCkuPhlvBI1ORS2b7ZUIuGnTcxB4UaNaqlT58+AIAlS5ZgyZIlAKrjh0uXLk14x0P1xjAzNA1w1vFYtGgRioqKcOmllwqVvGo5jTDreDjZqPgVanFztFPQsON4iOqD7XTI8fAGvQclM+IsGUItPEaOBwmPJGDZsmUAkjvUUllZGb1YzT5pOJXj8fvvv6NHjx4AqpNbR40apbtdL3M8nIQcD/dxWnhQqMWbcpWUlOCTTz7Baaedptte2XGwEjG5VM9tSVbhUaNCLXqYFR5BC7XIOtT77rsPderUwdNPPw3AvONRUVFhauibbDuvvvpq9P+bb75Zuj29bahi1vFwkkTJ8Rg9ejS6deuGVatWuVksxzhw4ACeeOIJzJ0719aoFqNOV9TQOxlq8Vt4VFVV+ZZceu2116Jv37644IILLIdajASBVeHxxRdfYMWKFdLt+DWBGAmPJMfsqJZEcTzGjh2L4uJiXHfddQCsxVb1wi2qwsOsUEtU4cEPpw3iqJYffvgBDzzwAD7//HP06tXL7aI5wvjx43HjjTeid+/e+OWXX2J+SyTHw+8cDz8dj5dffhlAdajbaqhl7969MZ+dEh5jx47F8ccfj59//lm4HQq1OAsJj/9hlJwZlORSu2+n1buBZNs2KzycaNgo1GIOM44H+zZQ9i2hQeaBBx6I/v/OO+/E/JZIwsNvx0MmPLwOyVkNtezcuTPms9Vyy/Zx6623Cn+n5FJnIeHxP4xeFBZ0x8MoaU7DbKgF0G94yfGIhRcehw4d8kS0mnE8/O78gOr3IrVp0wZvvvmm6XXtdOZG9wk7gZiGnSn1gyY8ZKNagpRcakd4WHU8NLRrwelJ6sxg5HiIrtFEg4TH/0h04SG6kUXfqYZaMjMzo/874XgYdbay2O1PP/2Ef/zjH7jlllt019crk5+OB+CN3W7G8fDb7geAkSNH4vfff8fFF19sel2+PoPseASl3dAIygRiovtEw23hsXfv3rjtaGj3hqg98uq+qQmhlsSXTg5hVngELblUJDJEgkE11JKVlRWtEydyPIwaBNkTRs+ePbFp0yYsX74cgwcPRseOHXW3I9qWn44HEN9xVVVVOT4JkKx+g+p42IGvTycnEDOTXMqOFpMRtByPyspK4fn3+prQEx56dWQkPIzqt6ioCO3atdPdPyBv17xwG4xCLTSBWBKR6I5HVVVV3G8iwaDXSLPrZ2dn625HrzxaXVVVVeHPP/9EJBIxbBBkwmPTpk3R77TJ3oxIBOHhNGZCLX53fnbxw/Hg62zx4sVo2LAhzj//fN36DFqoRRbisHNfHDp0CO+8807MvcrD15FbjofRtT1q1Cgl0ePWxIgqGAnhUCjkSTncxBXhMWvWLAwePBgnnngipk6d6sYuHMcojhuU5FK9m5K/Mew6HhpWczwuuugitG7dGnfffbdhfanMzaCq9M3OXOokQRMeQYjn8+hdC59++imOOeYYPPzww9JlvBYeovBE9+7dsWvXLrz//vsxb7Y2KqvfdS+7/u2U64477kD//v3RtWtX5Rw0vRczuhlqkYVYNPSEh1fhKCPHw+9ryAlcER7169fHVVddFZ0wKhFIdMcDiG/kzAoPdtus8LDqeMyaNQsA8OCDD1p2PFhUlb6q42E0e6pZIpGIsEF1UngUFxfjX//6F8aPHx9Tp04ml5p5748V9LY/ceJE/PjjjxgzZoz0uvM6uRTQF9+7d+9W3p+b7UZpaSkeeOABPPPMM9LrwQ3H44knngBQPQv0rl27hMvw7avVUAu/fbMPhEahsaA5HiIhnAzCw5WA1emnnw7g71lB9SgrK4u7qVNTUx3vFPSoqqqK6zD4kyuKK/txAeg12mVlZTGCQXRMeo02e2Px2zEzmkZUN0afRU+x/DKRSESpzvnGiJ0Ejd1Pbm6utKGUlVP0m/a3rKxMadp5o0nZ9BgzZgyefPJJAECnTp1w9tln65azvLzcUNSxv995552YPHkyJk6ciGuvvdZSGWVo++Hrg93/vn37ouXet28f6tWrF7cd/l4UHaOMsrIy3aGSooYeqO442YRrvvyqc+CYbTf4a0yPSZMmYfTo0QCA5s2bC5eRCSg71ySPaDu80ODfj6TqSu7YsSNmWVF7pnccRg8vWhsj2obo2nECvVlTRdejmetdDzPXlhlUnGnfk0unT5+O5557Lua7gQMHYtCgQZ6VoaioKG5iGn5+g82bN8d83rdvny9zIGzbtk36259//om6detGP//1118xvxcVFcXlSbDHsGfPnuj/7MWzfv166bHu2LEj7ruSkpKYuSKA+Il/+O1pHQ67DX6ZHTt2KNU5X6aNGzciPz8fALB///7o97KOhGXt2rWGN5JWp/wxaPDH/tdffyEvL89w3yIef/zx6P+zZs3CkUceCUD+BLl9+/a4Otu+fXvMZ/b3Rx55BABw3XXXuTa5mOi61GCP47fffkPTpk3j1mfPIQBs2bJF+V7ctm1b3LJbtmyJ/i8T9mvWrEH9+vWFv4nqWIPPe9i/f7+ldkMlv4md6+TZZ58VLiNzkTZu3Cg9PjOsW7cu7vwA8e0nf4+ydbJ161bp9jdu3Biz7IYNG2J+r6qq0q0rIzfvwIEDKCoqEr6xeu3atY6+yVqDf/hh7wHR+dK73qygmjunSsuWLQ2X8V14XH755Rg8eHDMd147HoWFhXFKuHnz5jHfaR2XRk5ODgoLCz0pHwsrLHgaN26MJk2aRD+zDSpQfZx8p8MeZ05OTvT7OnXqxPwvO1Z2OY3U1FQcdthhMd+xDopWFhb+5ktLS4tbpnHjxkp1zpepUaNG0fXYmGmdOnV0E+IA4LDDDpM+BWuNXEFBAcLhsHRbvL172GGHCevNLOxxyURUrVq14uqMv5ZldWrn+j548CCGDBmCiooKvPrqq8jNzY3WV8OGDaX7YesqPz9fWAY+HFK3bl1pWfmnudq1a8cty3a4tWvXFm6nUaNGcde0RsOGDZXvj+zsbFP1yl9jRsuy+zFahkXvGMzQtGnTuPMLGHf47L5FLpfGgQMHostec801cQ+tAKR1VVpaKq0XjaysLBQWFgrvpyZNmqBZs2a661uBb9PZvk8kBmX3hVnMXFtO47vwSE9P91RkiAiHw3ExyEgkEtMIiuywoA1r4odp8jd7OBwWHod2nOxvrFAoLy+XHqsopiqybXk3gN+eaNw8v0xKSopSnYvKpK3Hhhlyc3OVtmW0z3A4LLyGNET2thPXTnZ2dnQ7sti2ytBd2TbslHHy5Ml49913AQDjxo3DY489Fv2ND/Ww+2Ft9kOHDgnLIBqiKisrb9uLrisWWVukdw9o51+EKFxopV719qHB1qsspKAnAJy4JmXHx++XDwOHQqFomfXCIWVlZQiHw6isrBSKDu1658vwyCOPYPTo0YYCSCu/6H5yq83nj9doVAvg7JBalWvLaYLVc/oI32nwnUXQ5/EA4m9uUYcnaohF/9sZTltZWRm3H70EPNF2vEguVREeZpLuZOEOt0a1sE6MExOIORnrXbJkSfT/OXPmxPym1/iz5ZXVp5lRLfzxG41qsZJcqoeXo1rYbXuZXKqyHb595YUHu55eHWnLmR2dc/vttyslTQcpuTQcDidtcqkrwqOiogKlpaWoqqp+E2JpaWngX89tVngky6gW9rOTo1r4/cjyRzRUhtM6ITzYcjktPGRDBN0SHmzH7MQ8Hk6OZmHDdnwiod5+2PKy67HXjJn6VBEeRm8DFe1TFTMTiBmJcyOcfM2A02Xg2xD+mnBKeDj1QChzcr2AFR4iIRz0vlQFV4TH888/j1NOOQXvvvsuXnjhBZxyyimYN2+eG7tyDP7G4BuMRHA8VObx0OvgnZzHQ094iASEivBQRdXxYDtHGUF2PNjG24l5PJxsWK0KD5njwYY9zTgeohFOPEbDFwH9e0BPEKs+sEyYMAF169bFFVdcId2WESqOhwy3HI9IJILHH3887pUH/L0iewCSbd8t4UGOhze4kuNx9dVX4+qrr3Zj066RKI6HXgNh5HiI3kwpe9Jw2vFgn+ZEDbVKqEW1cRQJj3fffRdbtmyJcSUSLdTCOyoqwsPMPB5uCQ++XqwID73cJTOhFqP6sCI89FANtdx2220Aqkf5vfDCC5b2xWK2A3bL8ViwYAFuuummuOX0Qi16ZbcaalHFjwnE+OM1cjySQXhQjsf/MBIeVt+CaBXZS4nshFpEMzCyN7CbOR5OOB6qNz6/3DfffIN+/frh2muvxfLly6PfJ5rw4GdddNrxcDLUwnbgfB2qCg/2+FjHg6/Pyy+/HJ06dYobscVvT/QZCIbwcBqz+3HL8XjvvfeEy/H3itlQi+wakiWFquKH4yFzaEOhEAmPZCYSicQJDz9DLatWrULz5s1x0kkn2YpniyYv8svxYMf2uy08+DK9+OKLwuW8CrXoTZhlBn7uA7Zjlm3TTI6Hkw2r3kzATodaAOC7777DzTffHPe9SGgvWbIE119/PX755RcA7oZarLwkzomORW9Kcrf2CcRfQ/wweg23Qi2yib9U8UN4yGZflYVaKMcjSZAN/5w4cSJeeuml6DIsbqrOAQMGYNOmTfjqq68wbdo05f0aOR5GwkOW4/Hdd9+hU6dOGD58uNQWNNoPi9VQi2qd6+V4aKSkpEgbRaNyyGAbUzZJ0SnHg3+it+p4eJFcqtfx6XXGbH2rhlo0vv3227jvRI7HaaedhqeeegqnnXZa3P6ddjystBsq19zevXvRu3dvXHjhhUKRZ3aiK7dCLbJ7TO9Bw06oRbSu0eswROt7mVwqc9OTOdTi+zweQUD0RD9x4kS8+eabAIAWLVp46nhoT2JA9Ux9LHYcD22UEb/OoUOHUFxcHLNtdgKd2bNnA6gWIJdccknMO3hUHQ8Wq6Na7OR48KSkpCjNXGpVeLDTsTslPPQcj6DlePDC48CBA9H6FoUfNEdDJdQiEx4iQasXatHqM2ihloqKirhyaKFKbbKpMWPGYO7cuQCqE1PHjBkTs7zRa9953Aq1qNxjgLvJpWaEh14Z3HIaZO1VMgsPcjwgvjA10QEAr776qm/JpXqTy/BYcTz27t2Lli1bolmzZli6dGn0e9kMf7/99pthedxyPJwUHqmpqY47Hmxny06J7qfwsJPjYUdc8x0fW3a95FAryaV68OdP9JChIjz0wo169WRVeLBs3LgRBQUFaNasGf744w8A1W/x1WDnTNHgRxIZoZVr3759MflYRogm/mNRFR5O5XiI1rXiePgZaqkJo1pIeMD4wiwvL/c8uVSGHeFRVVUVd/NMmjQJW7ZsQVlZWcw7NGSdskq+gpHjoZLjIXv5nApBcDxY4aFSHhV44cHa6W44Htq67777Li666CJ8//33ymXlHQ+7wkPF8eC588470bVrV91yAbH1YWUej2HDhqFt27b45ptv4n4zEnNffPFFdIZX2Tr3338/Dhw4gEOHDkVf3McKMVEiuorwYJ+mKysrsXHjRhx22GFo0qRJ3AOGDKMRRqrCg92O0zkeZvJdgpRcmsyOB4VaYCw8RB2pV/N48J20maGDIseDX1/20jk7wqOystL01MwqoRarOR6ic+WG4yETHkblU8Vrx6OiogKhUAj9+vUDAHz55ZdYt26dUlnNCA/ZPCuyCcRUQi1ff/01HnroobhlRCEIu6GWzZs3Y/PmzejWrVtch6/nlP7666845ZRT4rYnciU1tJFNvPDgy6ciPNLT06P7qqqqwl133RVNAr/iiitiHFAZRsJDNhMszxFHHIF+/fph1qxZvuZ4aATF8aAJxJIYPRsVqL65kjXUIjt2WafM38ROOR5eh1q8yPFQLZ8qTuV4yM6NKB+CfauombdYOu14yN7nIuPnn39WKlckEompOztTpotEjZ7Imjx5snA7/PGx94tWVtYBqqysjBMaqsKD3Qb7PiX+ra9A9dDYc845BwsXLox+ZyQ8zNw/77zzDt5//31fczz0kkv9yPFI1lALOR5QC7UkwsylVkItMuEhy/FwwvHwejitH6Na3HA8+Cm1VYbTmglZiRwPUQekAt/BsyNyZJ0VP8+MLNQig72uZPa6aDIztu5SUlIQCoXi7m83kktVBaAItj6qqqrijksluZR9U3NVVVWMEBe1iX379gUAzJ8/P1o/RsLDrEuwYMECHHPMMdLfrYRazAgPbf0gOx7JIDzI8YC1UEsQHQ++jKJJ0PiLXHbsVkIt7E2i11B7HWqRJZd6leNhVD5VRBNxaQ2/GcdDdkwix8OMy8FiJbmUL5cs1KKCTHiIRtuw5yMcDgtFjhvCQ/U8sMgcD7OjWIB4x8NIeIhwWngsX75cKdRiZgKxoIda9CYQS1bHg4QH1IRHMiSXikItsgZV1inrhVrYhkwvfOV2qEXlXPnpeFh1y0THoXXOZnI8ZA2oyPGwKjxkoZbS0tK437Tj4uvajuMh64j5fR88eDBOeIieMp2ax0M2Z4neOlZCLSqw9yvveBiFnzWcFh4rVqzQXaeqqkr46gf2d56gJ5fqTSCWrI4HhVpgLcfDr+RSr0Itsux+PceDVedmnzJEjofRUD0Zfjkequ+BsdpwyIRHnTp1Aud48I397t27UVRUhJNPPjkuZCSzz2U5HjKsCA/e8QiFQoF2PDSS1fEAgB9++EH3d1E7puFUjkcQHI9kTi4l4QHjC3PBggVYsGBBzHdBDLUYzVkgCrVYFR6RSATff/99dJIsfh09MSfqRESOh8oLvkSojGpxM7k0HA7ruilOCg9tSK0Xjofq0MhIJCJ8od3IkSOFr36XCQ/ZBGIyVIQH/73I8fBKeFjJ8WCfhjWcEB684yHbL4/RqyWsdJKiGWj5bbo9qsXL5NKaOI8HCQ84d2F6gd3htHYdD62unnvuubg3EKs6HqrJpVbzavxOLs3OztbtKJ12PABvcjwaN26sVM6ysrK4spaUlGDTpk3C5bVl7ToesnVZRI4HW3cy4aEaeuDRu4ZVk3zdCrXoJZfyqA7BdsLxMKprPeGRbBOIJWuopcbkeOidLKeSj9zAScdDZFHKjt3I8eBFB7+O2RwPUSNs9IZgGaqhllq1ahluK9GFhxnHw0h4qHb+oph6SUmJoThyMtTCzn0h26ZWVrdyPLZt2xY3OZgbOR6iUS0q8KEWPSGu6pI5ITyM1tEbNZeIOR41cQKxGiM89DqQIAsPM/t1MtRiZepoVcdDJdQi2pfTw2lr166NOnXq6G4rUYSHbJtmHA++MT9w4AC2bNliuB6PqKHncyn4/Z5zzjkoKCiI2462jkqohUU27beXo1p69eoV951bOR78CwRV4EMtsnter0x+CQ8jx4MVeInseCRrqIWEB4IdanHb8ZAJCZna1hMeTjsebgoP7dhatGihu61EER5mHA/VDm/dunVKT+gAMHfuXLz++uuorKw07Xi8+eabmD9/vvApVtuWWcdDJjz4MriZ4yFKkrSS4yFyPNj6+O2333DjjTeaLh/veJhJXJd977fwAIDp06ejbt26uOeeewA4Jzz8mEAsWZNLSXjA/AuVgGCGWqzkeMjqJSUlRdgA693EdnI8VGKzTud4AEDLli11t6V6k7MJlUESHmZmLuU7EX56dFm5v/zyS/Tu3RuXXnop3n33XaHtryc81q5dK/weMP+WVQ3VF525NaqFDQe0adMm+r0Vx8Mo1GIVPsfDTNui4eTMpUb7Yrep53hceeWV2LNnD+6//34Azs1capT0a9URIccjidG7AbT3E5ghiMLDSqhFb78ita0XL7UzqsVNx0M2qgVwTniwLxLMysoKjPCw43jwgly23oMPPhj9/5ZbbpE6HmbCQXwZzNaZqvA4ePBgXHKpEzkebGd32GGHRf+3m+Oh4YTwMON4BC3U4tbbafW2IytXcXEx2rVrhxYtWuDPP/+0vS92AjHK8Uhw9E4W+44CVbwKtag8vWtYCbWI0ISBqHHTc4ecHNUCeBNqcUp4sE/m2dnZuqEBL4fT2nE8VOufFe55eXnSHA8rOQ1avarUmUpyqWj7boRa2Os/MzMzWjancjzMjvIRwed4JJLwUB1OW1VV5Xpy6fjx47F69Wps3LgRw4YNi37/ySef4MMPPzTcJ41qSWL0OhArwsOrk2/GulRxPMw0aqKLXk94ODlzqWgbVmcuFa3ntOPBC49kcDxU3ssDqAkP0dweRuUBzAkPjUOHDikPf3Urx4MXHto9pZLjoTKcVnQPmcXI8WCvqUQVHhUVFa7neLChwl9++QUA8NVXX+Gss85Cr169MH/+fN19yupdFmqhHI8Ewmnh4ZXjYWYuC5UcD5WLVmvURMJDL+butuPhZI6HquMxePBgPP/884b7tCM8fv31V5x77rkxIQuV9YC/6zlIjofsGpGFNJ0KtWjXlWqYBQDuvPNOjBkzJvrZKeHBiqysrCyh8LDieGjn2YnOxyjHgz1mWTsUNOHBH4NZ4SHbjqxcO3fujBOuAPDiiy9Gvzv//PN190WORxKTDI7HypUrsXXrVqVlgfjGUjXUojXgZkMtTo9q4RsMp4fTAkBhYaHutkpLS3HllVdi48aNusvZER69e/fGRx99hLvuugurVq0ynGhL9J3senTS8WDXW7JkCe6++25s3LhRyfEQbc+oPIA1x8OM8OCRJZeanUBM5niouAgq96gTQzvZBwWR48Fe07Kk9KAJD16Al5eXu5ZcOmHCBNSvXx8zZ86Mfqe1bY0aNYp+ZyRaZXWWzMKjxsxcmqjCQ7sIZ82ahYEDB+ouyx5jJBKxHGrRczwqKiqkiV1Oj2pxKsdDVF6tc8nJyVHa5l9//YVmzZpJf7cjPP7444/o/0cffTRCoRBmzZqF/v37667HfufEzKV8PcmEX2lpKU477TQAwKeffqosPGQ4neNhR3i4kVwqy/EwIxY1tPPshPAwyvE4cOAA8vPzAYgFRlpamitTphutYya51KzjoSfk+WO77bbb4pbRzjN/P+7atQt169ZVKjONakki9C5m1UQ0Fq9CLVq5jUQHuywg7myrqqqUGgK95FJA7nqoOh6q70Fwc1QL27mMGDHCcJuizoiF7Wzt5nhEIhFceOGFSutpdeLGzKWyUBf7vpXly5dHE1yBaiHH1oXWcemh14laGdVi5X7WsBtq0c6DSo6HneG0snU7deqkVE4gPtTCbzNZHA8zQtiM8BChnSs+rLhs2TLpOrJzmcyOBwkPqDseJ510UvR/v5JL9WBvDFHH74TjAagJD72nDL0ndxancjxEsJ3Lk08+iVWrVqFnz57S5Y2EB9tIezmc1k3HQyb89ER3JBKJqYv69etLlzUqD2DO8dDKZdfxMBIeesev3V8qOR52JhATrXvzzTejX79+0rLxGCWX+iU8jHAzuVQrv9UJxLTzzAuPJUuWSNeRXds0gVgSoCI8jN6++dRTT0mtNLcwc+Oyx2hHeLjteKje1E45HiLYGzocDuOoo47SXV5vOmnAv1EtRsLDyPFgh2Wq5ngYdbxsp+ul8NC247bjoXf82nJOOh6qy2RlZSm/QRgwTi5lJ30TvccHCJ7wsBtq0RMeZh7aWBcQAIqKigz3yRMOh5XD0olGjREeKqNBjGzhnJwcYQPiJmbUrZHwUA21aMie8mUNu2qOh6rwcCq5VISoc9Fbz2jCJr/m8TASA0aOB1tOI8cjEokgEonongfe2lYRHnphDDOhFu0+tvomWUA+aRNbRqPjB+Q5Hk69JE60blZWVoyYMMLI8fj444/RokULXHHFFY44Hv/973+Rl5enXD4ZZoSH2eRSvfvJzEMb73joXTN6joeZ5RMJSi5lyM/Px+bNm6W/5+TkCJPE3OSll15SfgGUV47Hzp07hd9bdTxWrlyJxx57LG45r0ItGnquhpHDVRMcD21/eteQFcdDLwZvxvGQPYWbQcXxsCI8zDgeKvN4OOF48Mml/DU0btw4ANXvPunQoUPMb6rCg/3crl07Q+dQBT65tLCwMOoouBlqsZPjobeu7DqQzdWSDMKjxjgeKsJDlnWskZubGzcsrqKiAnPnzo1OHOM0Bw8exOzZs5WW9SrHY9euXcLvrTgeZWVlOO6442JGdmh4FWrReOyxxyzf7H4LD9k2jRwP9nhVhIfeiAJtG2xd1KtXT7qsht61EkThoVcWbd9u5XjorWtHeIgcDxb+gcyK45GamhqzT6vw7djMmTPRrl07AOrJpXXq1BGGV+3meMhCLXrtbk10PEh4MNSqVUt3RkCR4/H888+jd+/e6Ny5s7RD9gqvRrWwoxpYVB0Ptgzbtm2TLufUzKUiRMd25JFH4vfff8e9994b95vRze7kqBYz61kZ1WI11KKVQa8RLS8vj7k+2PeUyNBzPKyEWvx0PNzO8dBzPDIzMx3N8WCRCQyzwsMpx4PdblpamtSJljkeV111FV544QXhttnt6AlzEbJQi941qZfjYWZ5lt27d0vb6SBAwoMhNzdXV5Gnp6fHOR7XXHMNgOonM6Opcd2GPUZZhxM0x0MvF8JrxwMAWrdurfskJIM93oyMDGXhYUaEODWqhb0G3HA8duzYEf1sNEEbkBihltLSUqVZQ41CLVYmEHMrx8NoAjEWPg/HivBISUlxRXikpqYK61crn6gtSk9P13WStLpgy+tWqMVpx2PNmjVo2rQpmjVrhr/++kt3Wb8g4cFgJDwA6CaXZmdnWyucQxgJD7Mzl5oVHlZyPPTOC99guJ3jofeb0TbZhjk9PV1ZeJh57bvVHI+ysrKYt2byE81pqDgeRuKVFR7Z2dkJmeMhu+75TkmELNRi5yVxXoRajNxQXnho+5cJEn45bYSGGzkerPDgzw3/Lh6NtLQ03bdk2xUeZkItZh0Po3vh2muvxaFDh3Dw4EGMGjVKd1m/IOHBkJOTY3hj6CWXWnknAI+d+B17ccscDzNxSlnnKZu23YrjoddJuOl4OC082ONIS0tTEh6RSCTGHTDCaqilS5cuaN26NaZNmxb9TrRNJxyP8vLy6DHVr19fSYzrXStmQi2yp3AzyKZMB6o72V27duHzzz+Xrm/keOzfvx9Lly5FWVmZ46EWp4fTsqiGWmSjXzQx55bjIZvmQPZ+ICPhoW2Hz4MxIhQKIRKJ+Co82PbZzpw2blJjhIdKw2XG8YhEInFP/rKL3Ax2xr07FWrRezstAKxfv174PVt3ekMkgyA89CYE88LxiEQi6Nmzp+FL6kRlYBtvI8cjEolg5cqVAIDhw4cDiK1HvXNhNceDFR4qU9IHzfGQnbsDBw6gU6dOupN0GeV47N69G127dsVtt91mS3jIQi1uJZfazfHQ7jc3kkv1Qi2yNlkWauEdD7a8qm3ngQMHhLkmLG+99Ra6d++O+fPn2wq1HDx4EBdffDH69esXnY+Kr5sgEsxSuYCq42F0Y7COx5o1a2J+s/LOFx43hYfZUIusAZZNhqP6NBME4eG242E0j8eqVavw8ccfG5ZTVIbU1NTo/oyEhwhVx0PkRBiJ1507d0bPk6rw0CNIwuPLL7/UnQiK3bdMeGg88cQT0jkt+PpVHdqZlZUlbL8yMjKEIpIPtegl1jslPNxKLpWFWmRummqoxazwCIVCcW6HaN1BgwYBABYvXiyd5l4lufSjjz7Cm2++CQC44oorMGvWrIQQHjXG8VDN8TC6MVhlzcbNgcRwPMyMajHreDgtPNzM8XDC8aiqqop2jFYcD7OwwkNDb/ifDDuOh1GohR126YTw8GNUi+zaUMnHMcrxYJG1F3qduZVQy2effYY+ffrEfW/G8TCTXLpjxw7MnTsXhw4dipZTux/cDrXwxyDLNWNHwvDbZrdjNscjHA4Lz6tbyaXsNA5vv/02IpFIXP5LECHhwaDieLDK2gnHQ7OmnXjrpEqOh5ntG83WyaL3pMhjVXgEyfEoLy9Hx44dceKJJ+KLL74wneNhZvQBXwYzoRYRsuRS/toQhcuMXDM2vhx0x+Pkk0+O+07vOlZ52Ziq46GHnuNhFGrJysqK+57tmFnM5HjI3EdRjsfpp5+O3r1747bbbnPN8ZAll/L3gUx4sCMU+W0D9pJLzQoPOxOINW7cOOa3n376Kc4NCiIkPBhUcjz0Qi1mHY8PPvgADRo0QIMGDdC2bVuUlJQEItRi5HjI1lFdPhFDLfy+X3/9dfz0008oKSlBz549YzppFeGheiz8ekDsebEbamHXVemwjRwPlvr16yM9Pd3WU5ebwmPkyJFx3+kll6oID6McDxXshFpEwiMlJUXYiZlxPHi3R1bXu3fvxs8//wyg+uWLXiWXyurXrOMBxDqSZpNLw+GwUqiF359sW0D1/EKy5fntzpw5k0ItQcKLUItZx2Pq1KnR95789ttv+PTTTwMVavHb8TArPPbu3Wv4LhENu6EWNrH4wIEDMcehEmpxSngYjWoRwe/7gQcewOeff6507ZlxzbShtHaGmWuhFpXj057aVYWHqJPWu45VRq155XiYFR6i/ZsZTsuLLpnjwb/eQfvd7eRSmYiQJbnLHA+gum7t5HiIHkDtTCD24Ycf4pZbbol+ryc8fv75ZxIeQcKN5FJ+1k2zjgf/srWDBw8GwvEwmsdDhBnhob1sDDAnPPSeyF566SXUq1cPffr08STUwjd0ZkMtdoSH3VALfw2MGTMG3bp1Uxraa9bxAKqnp7ZKWVlZTEdghJnyicJdes6dmVCLSo6HDDvCQ5TjIeuYzTgeqsKDv4a00JtXyaU8eo6HXvKmVs/stcAeq6yurIRajByPli1b4pFHHokpn2y7paWlJDyChN3htMcccwyAWMeDvxnNOh786+X5i0YVrVFxeh4Pt0ItwN/nwynH45///CcqKysxd+5crFu3znD/dh0PviE3m1waJMdDY/Xq1UplUL1GGzRoAAA45ZRTlMsmQjYJlIiKigql8snEoRs5HnpP1yJkc2EYfad1prygkoVaeAHrhPDgHQ/+mjVTDzL0cjx4rIRa2G2Hw2FT092rjmphUZnHIxQKCRNoRcKDkksDhJ0JxFq3bh0dssRehPzNKHM8fv75Z4wePTquYefjptrTnVm0hpI9Rllj5cRwWhFmHA9ATXhYTS7Vm0NEw67jwTd0XjoeohwPM6Na7LpqZh2Pc845x/R+2Cf3kpISU8JDpXwycah3Has4mnyOR2ZmJkKhkCehFu2+5V0PUaglJSUl5jjdcjzY/QGImcLbagiOb8e0WVFFyNoCvXPCb1sru6rwMOt4yH7jy6fyokH+4ZWSS33GaqilV69e+P3339G2bVsAsaEWVcfj5JNPxgMPPIAzzzwz5nve8XBSeAQ5uVQrC+BOcqnKcmaFB//yMz3Hw2geD9U8FNbFYP93clSLWazkePTs2dP0fmrVqhX9n79P9FAVHnqOhwwV4cGHWrScCzPCgy8/LwiMrh8+z0PkePBixCnHQ4bWNqxatSr6neYim4W9BrUwklnHIxKJuOJ4AOLrRDZ3DiDPHXJCeGj1vnv3bvTp0weXXHKJ0oOZ25DwYBBNwMPHR/VCLbKGSRMkGzdujPneKcdDu7icSi710vHQuwnM5HiwqNxYZkMtffv2RePGjfHRRx8BkOd4aPVg5HioHItsvg23Qi0qmEnerFevHgCgUaNGpvfDCg+RdS3DruOhTXktwozwYB0PwJzw0Au1qFw7vPAQ5XiYdTz4tsqq8GD3KZs4ywhWeGgi3IrwkK1jR3hUVlYahlr4epaF8GTCw0qOxx133IEPPvgAb7zxBiZPnizcn5eQ8GBIS0uLs6b4DorNp+A7uB07duDVV1+NuZD4/Xbs2BH/+Mc/UFxc7Ljj4dQ8HjLHQ4vZy9YJiuOhglnHA6g+P+eeey4AueOhCVcnQi2yZDanh9OaQfUaqlWrVsy9NH36dFP7YYWHmaRtNx0PFQEkEx5OJZeq5LCIHA9RJ2ZGePD3otmhy9o1+8wzzwAAGjZsiBEjRiity8M7HoC8fvVeVmnW8TAKZQPV9eKl46Ey6R+A6AMTACxbtky4jJeQ8GBIT08XOh4s2smXqdQhQ4bg3//+d/QzfxF+//33WL58OR588MG4C85qcqnToRaZ49GkSRPpOm7keLgpPMw6Hjwyx0PrbN0UHn6HWlQ6Gz5+P3ToUKxfvx733HOP0n78cjzshlpEOR5G2+XREx4qwk811MLeA2ZGDmnlAMwLj8GDB2PFihX44YcfULduXeX98fvmh+nK6lfmfqo6Huy8LlYcD+0+YM8Zv65eHgqLqBwix4MvDxBbP1ZmTXYaEh4MaWlpccKDb5y0E6gXdx4/fnz0f1nex7fffhv3nVnH4/LLL8fixYuVhYfdUS2HHXaYdB2Z42E07a8byaUqWHE8WPjj0hoPL4SH3VCLHcdDVbyKhqo2bdpUecbW2rVrR/93Q3joOR5OhFrs5HjohVpU7mEV4cHfr6ptA18mVeHB1nXHjh3RqFEjyyMuRI5HUEItFRUVMX2DNpS8vLw8el2pCjyrOR4sWjnZ829GYLpFjREeKpVtJtSi2tDzc3VoiBpvPeFx2WWXxXwOh8N44YUX0K1bN1M5HnYdD1nHIXM8RBMaAWrCg69jJ28Yu8JD5ngEPdRitw5VHQ/ZdaLqirkdanHL8SgvL48JhzjteKiEWvhRLaLhpnyOh1eOB18GKzgRajn66KNdSS6trKyMER6sgNbWVxV4TggP7Xc+kdhvgjnI1wWMTraWgKUaalHFKeHBNsRA7E2rmuNhd1RLamoqmjdvjt9//124jqhxyczMFLpDKsKDJ0ihFh43Qy1btmyJGQ2gPcFGIhHTw2ntuB2Aunh1Unh46Xjo5WKoCg+28Xc6x8OpUIvI8fBaeDjheJhJLr3ooouQnZ2NLl26oE2bNti0aZNwHbs5HmwiLis8KioqkJKSYtvxMEouZQlqqMU14bF7926MGzcO3377LRo2bIg77rgDXbp0cWt3hhg19JrgcFp4yEItMuEhu5H5xoQth5lQi8pFLwu1pKamorCwUCg8ZCM5ZI6H2YaLXYfHyo1k1/Hg69Gt5NL9+/fjqKOOwp49e6Lfa40ha4+r1oFd8WbX8Wjfvr3SfvzM8ZDVpcoEgWVlZXHTpWvbVcUo1OJUjgdbpkR3PFRyPAoKCjBhwoToZ7cdj5SUlJhcp4qKCmRkZFgWHlZyPLTfa0yo5eGHH0a9evXwySef4IYbbsCdd94pffr3AqMGV1POqqEWPXJzc6P/m3E89JJL9YSHaqhFdfy2LNSSkpKC5s2bC9eROR6yDsiK4yG7YayMS7frePD1yzseeh2NGeHx4osvxogObdt8I+SV8LCT4wFUv/Bq8uTJKCws1F3fiVCL3uRJVnI8VK6z8vLyuOnSte2qojePh5PCg02cNCs8rI5q4cugijaPEiBOLlUJtcgcBB47yaVsjgc/IaVWZ26GWmSitUY4HgcOHMDixYvx3nvvITMzE926dUPr1q3x2Wef4fzzz49ZtqysLO6GTk1NdeRlQixGN2t6ejqqqqriGqtwOBxzolUakOLiYpSXlyMlJSVm0ikW0cVXWloqbdz4hpwtF+t46HXoekPLWEKhEKqqqoSJtXrCQ3Tzyzp4raETHW9WVpZw1JDMseHnGFBBO0bZb3qIOl/W8aiqqtLdhmq4orS0VPi0z06YpM3roNqY2J08qLy8XGkboic77fO1116LDh06oHv37tL18/Lyov+beRUB6xrm5OTEiTaN9PR06Tmy0zCXlZXFXI9aPZh1PNgQmsrwy5YtW0aX43M8RPem1n6kpqZGnTMzwqO8vNzUnC58O6p9Z0ReXh4KCwtx991345JLLgEQm+eSmpqqe7+xbR5/z6sITNG9BsgFFy882Da0rKxMWbiLymumHBraeWLrRzvXVmY9VkHlvLoiPNatW4fs7OyYiYMOP/zwuLe5AtXj+5977rmY7wYOHIhBgwY5Wib+HQI84XAYRUVFcZ3YgQMHUFRUFP2seqOtWrUKtWrVkr43RNRZ7t69G5s3bxYuz3fEoVAoWi52Mi7tu507d8ZtQ/SdiHA4jPXr18c1+CUlJWjatKlwnaqq+JfmAfKbe926dSgvLxdOsXz99dfHvBRJ49ChQzHnQsPo3IrYvXu3cFvab3oUFRXFHat2XVRVVaGoqEhX5O3evRtbtmwxLOO6deuEy5WWlkYbkoMHD6KoqEi5s2SnrLbC5s2bDesHqG7cZPW7fv16w3PGdq5mzu+GDRuidZ+VlSUVHhUVFcK63bBhg+l3LrHs2rULv/32W8x+jK4HHu2cavAdA38O27dvj4kTJ0bX4duo9evXx+VZRSIRFBUVRTvGAwcOmHrY2759O4qKipSFLNs2sWUw4tNPP0XdunWxZMmS6Hc7d+6Mu99kc2Gwx11cXBxTBvYN0yzsRI+lpaUxnby2/vr164XrlpeXxySas+di7dq1KC4uFraTsrKz5WVfrKl9bxRF2L9/P4qKimIedPk+TXYsVmnZsqXhMq4Ij4MHDyInJyfmu5ycHGElXX755Rg8eHBsoVxwPNgkHxFZWVkoLCyMmySrbt26Mbaw6O2Pbdq0iWlstP01b95cqv5EN11aWhry8/OFy/NzaKSkpETLpZUpEolEv+PrH1B/JXUoFEJBQYGwLmSzDaanp6OgoCDue1mOR9OmTdG8eXPh+xquueYaTJgwIa6OwuGwoUWvSuPGjaXbMrpWCgsL45J9tRs7NzcXhYWFugI1Ly8vZg6Dk08+GV988UXccl9++aWwkcrJyYk6SVrejarw0JuLRYX69esL7wGeOnXqxNVvVVUV1q9fj4KCAmlinwZ7LZmx5Bs0aBA9F7Vq1ZIK+Vq1agndu8LCwhi3xSzhcBgTJ06Mfm7Tpg0KCwtNvZckFApF607keGgzwgLVo934ydn4mWJFx5Seno7CwsKYHAkzbW6dOnVw2GGHKQuPWrVqWbp3W7Rogbp16+KPP/6IfpeXlxc9xzk5OSgsLIwJb7OwdZefnx9TBtl5Zt+mzL9GQ1tfFv6rqqqKisw6derE7KNJkyZo1qyZ8vVcu3btmPKybrz2vdHw9IyMDBQWFsYcQ2ZmJgoLC2PuRyde3mcGV4RHVlZWnMIuKSkR3nyiSbvcwMhOkr3ZkX/vhugEDR8+HF999RXeeuut6Hf79+9HOByWXqAiEaZZcSL4umOTntgcD1Hms4YZW1SUs5GamipVs7KGSy+XIhwOC23HnJwcNGnSJK5zklnWVsIHeu9TMXqxkpbYKUJ7E6neNiKRSIxQGDRoEP744484kcHOB8PCJgZqdaIqPOzGd1XfM5OZmSmtX6P6AWI7BdnTrAjW/tcTSOnp6cIyyF4hr8rs2bOj7mSjRo1wzTXXxNyrKlRUVMQsrzfhlOg6FuWDifK12Hvc7DweVVVV2L9/v/L1ZPT+IhnaUGB+0jw21KJXv6zTxCfUygQAWw9s0jzb/siOmw2X8zkeZkNu/HGJymEUttH6BH44Ld+neS08XNlb8+bNceDAgZiGdM2aNWjVqpUbu1PCSHhonSbfGPEXp6hRql27NmbOnIlRo0ZFv+vduzfGjh0rfbKTCQ/V5FLRcFqj5FIzOR5AvGhISUmRTiImm8dDJjzY8BAP6+awyBpGMx2TUbm0/RshO09WkktTUlJMiW/RED/VOK2ZZF4Rdke1aBjVMevYqbyOXkM1udTKqBYV2LI+/PDDaNasWXS7qugNpwVi7xnRdSxyGWWzYGrrWxnVohe65evW6tBZrd7Y7bHtmJkJxGSTQfLwyaVmRrWw54Z1JtntuplcyiNKLk3aUS3Z2dno1q0bpk6dikOHDmHJkiX4448/0K1bNzd2p4TqqBYrw2m1G52139etW4f77rsPs2fPFu5PNLeFnvAQJYxpqM7jYXdUi14ITDaqxUh4iDqxcDiMFi1axH3vpPCwO5xWz/Ew2o5IeJh5fbWdUS12k0vtjmrRcEt4sK4hX6cNGzaM/r9//35XhAcLGzZ1UnjodaaAmvDgO3Qro1pkORIA4qZDtzp0VtQWmREe7PXOLyNzttj6NzuclkU2qsXNmUt5gjqBmGv+yh133IHt27fjjDPOwKRJkzB+/HjD2LmbODWPh+hi1W50u8dnxvEQCQ/WwndCeIgcD6A6IZiPqVp1PETCw6zjYSZxz6hc2v6NMHI89LbjhuOh2llaqSsWVcfD6HiMOmI2tGhGWLIiJS0tDWeffTYA4OKLL0a7du2iv/3yyy+mZy41C1sHZicQi0Qi0Y6dv+7Z+lB1PGRzQrChFrOOhxnh4bbj4dZwWrMTiLHwjocfwiOow2ldEx75+fmYPHkyli1bhtmzZ+PEE090a1dKODWPh57j4abw0HM8RO/usCM8+NwRDe3mHzp0aFxmvZOOh0x4yG5YPxwP2XliOxtZw8YnDJpN7JM9halgpa5Y7M5cquGW48ELj1mzZmHu3Ll44YUXcNRRR0V/+/PPPz0VHmbn8TjjjDPQsGFDvPrqq66EWuw6Hm4ID73zIRMeRqFNvakQVCcQMzOPB4tMeNgNtRiF1FlEE4gtW7YMgwcPxt13361UDjeoMe9qsep4qMQFRaEWK+hNIKYSagH+Pk7ZPCEq6IVaRPvUymPG8dCb+VA2esWrUIvK06nTjoedUIuZJxivHA+7woN1POwIj7y8PPTq1QtZWVnReSAAYNSoUdIp0516ImTPqRnhsW/fPixatAiVlZW47LLLXAm1uO148KPz3BIeRqEWve2bdTycEh5uzlzKI3I8AOC1117D3LlzlcrhBvSulv+hmuMR5FAL8Pe0vG6GWvj/tfK47Xh4lVyqgtM5Hlaz3SsrKz0VHk7leJgJtdgRHixdu3bFU089hZ9++gl33HGH6zkeVh0PHv5aE3W8LKLRPLKnZzvJpU47HqI6Ej0EiUJNKg8LVh0PKyEOoFp4sBMA+hlqER2rF6NJZZDw+B+yUS0qoRbtRvcr1CJyPNyaMl30v1Yev3I8nHY8VHDa8TAD3xgmo+PBru+U8ACAkSNHRv8XXTd2htLyWM3x4NGbudTuqBY7oRa9idaC6HhYyfEwO6qFJTs7O+ZceTFlOo8ouVTDT+FRY0ItKvN4APYcD6uhFm19q8NpVXM8VDsdWY6HUajFyVEtognQnMzxsOt4+C08WNvVTIfhhPDwIseDnT/BSeGhVwbtur/wwguj3915553K++axGmrh0cvxcDLUYmYeD6NRLbzwULnGRXVkN8dDb/teJ5f2798fTz/9tG3Hw0yOhyzUApDw8AQ3304rC7Uce+yxSmXTZsrTEx78uyX8djxE9eKU46Htf/jw4THfOzmqxS3Hw2qoxQx2Qi12k0u9Gk7LbsNr4XHWWWfhqaeewtixYzF69GjlffM4FWrRy/GwOqrF6VALLzRUQy2fffYZBgwYgE8++UQ51GJmVAuLypxMgHvJpdu3b8d1110nfHWICFlCsBXHQ3SsZvLKnIaEx/+QjWoxk1zKC48BAwYolU1bTy+5NDU1NeYi1svxYP+yqHY6RqNa+P1rn50SHhrPPPMMfvrpJxx33HEAKNSikQyhFpWOWNuGmeMzIzz4xlj7HAqFMHLkSIwbNw7Z2dmWnwzdEh5BCbWwE4jVr18/5nfVUMtpp52Gt956C2eccYYt4eGF48FOV2BFeGisWbPGcF1R+UQCyOheDKrjQTke/8OJeTz4PIwBAwZg165d+Pzzz/Htt98K95udnR1tYPUcD+013tqFZsXxMPsyNT3HQ6TGw+Fw3KgAWYPz2muvoWnTpro3TjgcxtFHHx3tQJI5udRM5+r3qBavHA8rDaNZ4REO//3WVFlHlJ6ebmniNadyPHicCLWIHi5U35oKxDoetWvXjjvfTgynlbVxIuFlRXiYTS4FqsVHKBSyNIEYuw0VZEJJE0ChUMiW40HCwwO8CLXwJ7egoACPPfaY8DcN9omKfaU3T1pamtTxUM3xUG1YVHI89NZhj0G2zuOPP4733nsv5oVMRttmbziWoDoeZubxMIOfo1q8Si5V2YYIM8JDK4eK8LCCUzkePFZGtRjleADmZrVlhUe9evXizqeV5FI9R8KNUIsM9t5mk0uBv999YsfxsCs8tG2oCI+gOh4UavkfqhOI8Re45kSIECVIipZhLWVZx6AnPFQdD1VUcjx4RElggH6Ds3btWhw4cCD6OScnR5jMx25TZAcHKbnUqxwPq45HIuZ4mMGK8NBwWng4FWrhcTLHgz1+M8KjoqICu3fvBlDtbvDn08qU6XqOhBvJpTJkOR7A3+2PHeFhN7mU3T8Jj4Dj1gRi/E0+e/ZsdO7cGS+//LJSufgYMtsR8+WQNZKqOR6qqOR4qK5j1MFrHUXt2rWxd+9e4RtZRcKKxQ3H49JLL5X+ptf5Uo5HNU7meJiBhId1x8PMCwR37doV7UBVhIfbjoebwoNdzwnhYXZ0oYZIABm182vXrkXz5s3xySefxP1GwsMDnBpOayQ8+vXrh6+//hpDhgxRKldmZmbMPkUvjxOVRTanhpOOh5GIEI2y4Rsgo85D6yj0nCM3HA+jzv7FF1/Eww8/LPytoqJC2vDIhAdbd06PaknG4bQq2xBhR3jI7Pogh1pkc1+cddZZAKrfmQU4H2ph3zwuEh55eXkxn53M8RCdYysTiMngXyzntPBQHaWlJ8RUhQcArF+/Xvg95Xh4gFMTiPEXuMjWNAMvPGSOByB/OlPN8VBFNdTCJpLKHA+j+tGOV6+TEFmMLE6/JE77XfZ+oYqKCtOhlszMzOgshn6GWuwKj82bN+tOHKURBOFhtrNz0vEIhUJKosYKRo4HAMydOxe//PILOnToAMD5UMuOHTui/+fn58d1brzrYsXxkIVa2IczbUSgiqhQvc/cdjy8Fh4yyPHwAKemTDdyPMySkZER08DqCQ8rOR6iC9/oBlSZMp1dji0Pv4xR/Wg3od5N4EeoBZA3ZnrCQ+Z4sA2xE6Na/Aq1TJo0KabTkeHWqBaj9dwItVgRQHrz7tjFaDgtUH3sxxxzTMwQYRaR42FmAjF2Do/atWsbhqSdDLWwaEmsToZajJJL2b96kPCQQ8Ljf1gd1SKKp5rBCcdDL8dDdHHxY+55VBNFRQ0rv4xR/Wg3kF4n4YbwsPruCKD6icjs22nZzsvJUIu2PVXsJpfK4OvTrRwPfnbgHj16oEuXLtHP7PH5mePBr8Nvmy2zWYyG04owejutWfbs2RP9v1atWjHbEdW7FaFvRng4GWrRSy4tLi6Ou39lZGVlCdsZvTaexUxyqRVhS8LDA5yaQMxqqGXo0KHC7zMyMpRzPNiLS9XxEF1cDRo0iI4e6dChA5o1axbzuxXHg5+QSEO1flSFh1c5HoB9x4MtK+942B1OKxKbKth1PGTw59mtUAufO7Bw4UI8+uij0c9BSS7l981ve+zYsXjwwQdNbxdQC7XwyBIVrY7uYjvPvLw8Q+HhZI4HixnHw4lQS0FBAdq2bRvz8jcR2dnZCIfFr5FQba9kLhUQ73iojKDkIeHhAaqOh1FCpdVQy2OPPYYJEybEfW/G8ZBZt3o5HqKLq2HDhvj3v/+Nzz77DJ999pn0GI1yPERCyGyOh4adHA+3hIdsGb3kUra+WUHA1oPTjoesLKLGWEV4WHHxzAoPpxwPIPaaC4rw4NfhO5G8vDzccccdaN68ueltq4RaeFRCLVbhhYeovpzM8WDRRs94NaoFAH7//Xc8/vjjutvQ3q7sdqhFKysJj4Ci6niEQqGYE2KUXKp68vLz83HLLbegVatWMd/zjocV4aHneKSlpcWVuUGDBgiHwzjttNOQn58vtSmdyPHIzMxUskFVHY9NmzZh+vTpMVn1XjseeqEW9jjYa449x5FIxFHhofpiQUBNeOTm5poqDxAvVlTyIvjjfuSRR3Dcccfhww8/lG7DTeHh5KgWo1CLtl8rSadBCLWwqDgeVkIhQQm1iNaTjRTR0ISHqC6cCLVorqmW30XCI6CoOh5A7MVi5HiYfdEOv7yZ5FLZjSiy3bXjTU1NjbtpGzZsKN0u+9mJHI+srCxHhcegQYNwxRVXxLwHx4rwsNNQqY5qYa85PgTj1KgWrTwiRM7F/v37DbfvlfDg6/fmm2/Gd999h3POOUe6DT7UAgTT8TAKtZiZf4InCKEWllq1asVsR7RNlTlC9DpaWT25kVzKlpUfnaSKJvrddDzY+97KPUvCwwNU5/EA9GefdFp4mAm1WMnxEAmPBg0axHyWvSzLygRiIsdDJZatKjx+//13AMCSJUui37mVt2A3x4Ndxkh49OzZ01S52LL17dtXuJzI8WBf7CXDSiNmNtQCxJ7XjIyMuPoWNYyNGzeO+46fI0UjSKEWJx0PK8JD5V0tVsnLy4vZvqi+VISHUT6dqP3xejitKm4LD34+HSuOB72d1gPMOB5mQi1mT54o+5/dn95Yenbf7P96OR6pqalxFzDveKg2SiqhFpHjccMNN+Dxxx9Hp06dZIemnOPBonUybo3U0BMeKhOIyUItIuExevRoDBw4EGeccYZSudiyrVy5UricyPFQER5WGjFeeKh01uz1pFnTLCLx0rJlSwwbNgx169bF+++/D0B/SKmZMngpPJxyPKyGWmTJ4FbIy8uTimwNlTlC9DpaIL6s7DBer0MtRriR48Ee/6uvvoqCgoK4/ZmBJhDzANUcD/5/t0MtvOOhh+wGMOt48MNpZUldVkItolEtGRkZuOGGG1BRUYEVK1YIj0HV8WDZu3cv8vPzPRceqsNpzYRasrOzMXPmTOzZsyfuBVuiclmdB8Mtx4MXOWafQEXujEh4hMNhTJs2Dc8++6zhU3uQhIes4/fK8ZB16k45HqywsOp4mBUe7H3iZXKpCm47HrfffnvMb05co15Cjsf/8MrxEOV4qF4A7L5ZS1lvHg+R8OAT9KyGWlRGtbAdkt4NbEV4aJ2oarKWWeyGWqzkePD18NNPP0XtZLZcVq1lveHaGnwehYrIsTKRHnsMZoQHv65TwkMmAqyM8glajofbo1rYzlpU71ZCLUbCg30fTE0THjxm59EBSHh4ghnHQ094qMShVfcDVDdqqjMjyoQHH2r54Ycfoi6AKNTCdyyqjofdmUv1OjAroZadO3di//79rgkPveG0Ko4HuwwfapHN48HXQ2FhIerUqRPznR3hoQLveKhc41Y6ZyuhFtFxu+14nHfeeaY7H9UcDyudGuvwBSXUYuR4WAmFGOV4sI6Hyvat5HhYTS51ezgtD78ffvSkCBIeHsAKjy+//BKzZ8+O+V02qsXt5FIzjge7b3aabLaM//nPf3DsscdGP4scD154qOZ4GLk/omXcdDx27NiBTZs2Sdezi5fJpaLlgGrhJroGVRpDq0+zVoSH144HixfCY+vWrdi5cyfmzJljuE3Au+G0fodasrOzkZKSInQ8tLqqVasWhg0bZrmMGl6FWtj71g3Hw+oEYmaEB5v/IYNyPDxAa+jD4TC6dOmCrVu3xvyu6ng4HWrJzMxU3ga7b5nwmD9/fsw6XjkeWnn0HA+9G0f1XS0sO3futJRUpYpejofKBGJmkks1RE95ogbZTceDTy5VuT6tCA+2sxKtL7om3BQeeiJAy4tS7aj5ffPbthNqYa8dv0MtWlvCiiHt2Pv06YOff/4ZDRs2FM6/whMU4eF2qEUVo+NnSU1NRbdu3fDZZ5+hRYsWFGoJCpq1LQsJqOZ42HU8jEa16KHieIj255TjoSI89GYudSPHY+PGjdL17OJHjoeIRHA8rIRa2FyFIIRaVF62p1qnbjoeVsrj1gRiWlvCdtbssbdr187w3VAaZofTmhUebg2nve666+IcHb0JxFQxG2p56aWXMGHCBCxcuFDpWP0cTlsjHQ/2r4bqqBY3kkut2KWyHA8eK8JDw2hUi0gIiebxEC3PYzXHg20kCgsLUVRUJN2OWdwSHkuXLtUN5/GIhIdKQ2tVePDXh1uhFvYpOQihFhXhoXq/uzmclsVujoebjodZjB7q7OZ4qNY1GwpREfmXXHIJVq1aheeffz76nRuOh5HwaN68OW655RYAatcFOR4eoHUCsqQq9iSwjaBRdrqXw2lVRrXw8KGWzMxMQxdHJs6sOB4qMXTAGcejZcuW0m1Ywa3htNo2NNwSHlY7NT7U4pbjwdZPogiPRHU8ZPe4XcdDC6EYjWpRwazwcGtUC5usHgqFDNdLSUmRhpi9FB56n0WQ8PAAI+HBXuT/93//h/T0dAwaNMgwHyJoyaU8vOMhmqNBNpzWyOoUCSGV2U1FWBEezzzzDCZPnhz97JXwsDKBWEpKirKz9NFHH6F///74/PPPheVQDbVY7dT4a0TlGnciSZHHa+FhNLux3r6M9i27l+w6Hm7keOiViW8PRaEWp4SHUajXrRwPNgSoIvJTUlLiyqo3qkUVMzkeRiJNBAkPDzAKtbAnYfDgwdi9ezfefPPNuO24kVzqtuPB/i5614WqsrbieKhsF7AmPHi6dOmitJwqVobTyp78RUm+Gvz3PXv2xNtvv42uXbsKy+G242Elx8NuB2rH8ZCdpyA7Htp27DoeqpO9mREessRE0QgroxwPM+g9DIp+Z1/94ORwWhZV4UGOhzlqnPBQcTwA+RS0fiaXyka16F1k/KgIkfCQOR48evkuohwPM8PBrOR4sNSvXx+XXXaZ4XJmMJvjkZ+fLz2XesLDrVCLU46HX8JDdVSLzA4Pco6HE47HbbfdFvf6AxlmQi2y83377bcrCQ+vQi3NmjWTrquyfdUyWXE8/BYe5HgEBN7x0Mvx0MMNx0NViVsNtbDuiB3hYdbxMMqPYbHreNStWxfZ2dlKL6RTRVbe0tJSYScleoGZhmhYLPubHlZHtejVNxsf59fhRYDKNd6uXbuoWP/Xv/5luDyPnVALIG7g/XQ8VGcutSoO77vvPjz88MPKy5txPPi28MQTT8SIESNw9913x113Wo6HG8mlRp1p06ZNpeuqbF+1TCr3J7+MG6GWZHI8asyoFn44rVXnwo0cD5ltz2M11MImS6mEWlSFh9GoFv7CNhOjVF1P47fffgMA3Hrrrdi7dy/WrFmDxYsXY/v27YbrypDd6LIJgJo0aSLdlh3hIWqA7Doe+fn52LVrV9z3aWlpcR2+SgOVnZ2N7777Dl999RX69+9vuDyPnVALUH2d8y8iU2l8/U4utep48G+YNsLM22n5en/hhRfQrl07APHXqpOhFjOOR+3atWOSoN0Ktagml7rheNiZQEzV8VB5eZ8b1BjhMXHiROzduxfFxcUArDseboxqUZ3JzqrjYSQ8VC9wvVCLJoTY78w4HnoT3qjcRNqr4VNSUqKuR6dOnVwRHmzyGYuXjofdJzx+GnaN9PT0uHtB5d5ITU1FmzZt0KZNG8NlRTghPHhU7k12eyrJpbJtpqamSqfIB+T3mFXHQzXEwu9PQxZyBuLLztatTHj07t0b77zzDgCgc+fOpsom27ae8GDDLID/oRYvHA+jdl51WQ1yPDxg4MCBqKqqis7zYDVkwq9n910tGRkZlsbim5nHg30xmJOOhyjUovd6bL0bWK8e9dYrLCxEeno6xo4da2o9FWTry961oCc8UlNTpfWq0rDxy9sd1SILtdgRHnZwI9SiUiazHb9sm7xzaeR4aPu1eo2aFR52Qi3sMvzyWnvy9NNPY9++fWjatCn++c9/miqbhlGoZd++fdH/gyY8ZI6HlxOI6X0WQcIjAFjJswDsJ5eK5tXgadSoUdy+zYRaWBvUjuOhJ1A04aGXZGZVeMiO79prr8XTTz9tuUM3wmyoxcjxEAkWK7kaTjge7FBEFlGoRXSNn3XWWfj44491lzGDG46HWeFhJ9SSkZERI/BVr32vHA87oRYVx6NJkyb45JNPTJWJx6ht3bJlS/R/Xng4OYEYv46KI5mIyaV+zlxaY5JLncKNmUtFF0njxo1Rv359pKWl4d13343bt5lQC4uK4yFDLwnVrvAwG2q54YYbMGXKFN0GR7a/Dh06SNcx2i+gnuOhzSIIVL9oTDT3h0oD4caoFpnwUHE8LrjgAnz44Ycx39l1PETnX3VUi2z/KvemU8KDH0Zt5HgYfW+E2RwPM6EWM8LDbDn0MBIebMiYv9dU6tHL4bSag2fn4cdtx8Pug5kdyPEwiRvJpaIbIj8/H9988w2Ki4ujTzdOCA+VCcRUL0hRzolXjoeVG+uGG25ASkqK8qgLuzkeY8eORZ06dXDEEUdIxY6VBlM11NK2bVvp21TNOB4iIWJki5tFJDyC6HjI7ncj4SETgVYdD1mOjgwzjoeZHA/NjXUCftt654+/19wKtdhNLrUzT4vbjoefkPAwidPCQ/QuFaD6wsnOzo6JfcuSS41yPFj46bAB68LDq1CLaD2ziYMAcPbZZ6NXr16G6+ntF1DP8cjNzcXdd9+tuw83HY/Ro0djwYIF+P777+N+0xMe/LkQiWXZ21at4rTwCIVCpsNYdmYuNRJrTjseZjs0OxOIsfXI16leeNEsZtpWfr9uhlqsOB5W3l0k2je/HxmifiXIUKjFJE6HWmQNpOg7q8NpWURJfKrJpXpowkNvPL/XjkdBQYHhdvRwMsdDhps5Hnl5eVixYgV+/fXXuN9kyaUpKSmGoRbRubIbLxZt047wsDKVuJ1Qi5FYczrHwyyyp2c7o1pSU1OlAtaJMpoRHkFLLpVNQGl233qfWRLN8SDhYRKnHQ9AfJGIvrOaXMoiuiH0HI9ly5ahf//++OCDD3TX8zrHQ6VjGT16tOF29DArPGSduR5WHQ8zI6FEwxJlU22HQiFLwsMNx0N0rwRVePDlctvxMItTo1rY665Ro0aOlt9M28pOHiZaV4TRPSN7KLMygZiVlyaK9q33mYWER5Lj9KgW2Xeii0wWajEjPEShFr0L+uSTT8bbb7+N8847L+43P0MtKh3L0UcfjZdffhnhcBh169ZFp06dDNdhkT2NyoSHlUbYzVCLBl9XtWvXlu5XtG1+fa+ERygUivteVXhYGR7v5gRiTo68Ovzww02vIxMeZpNL2e04md8hKgtf11OmTAEAnH766WjdunXMb06EWkRi3KrjoXpejz76aOlvdiYQo1BLgJk+fTo6dOiAmTNnKq/jdKgFUHc8rMzjIcu2lm0XcC7Hw8zMpWZDLar1PmTIEKxduxa//fabJUdCVBeqE76p4LbjAcRfH3Xq1DGV7Ch6v5DRMmaRxcRVO3CvHA/VenMj1HLEEUegd+/emDdvnvI6sv1bTS7du3dv9H+zQ3qNMHqou/baa7Fx40YsXLjQUpvlpvCw6jBMmjQJgwcPxrXXXivct95nFnI8EoihQ4fihx9+wMCBA5XX8TPUYmVUCysEADXhodoYBn1Ui0bz5s1Rr1495eWN9s0Kj7y8PPTs2RNLly51bPs8VnM8NESOhxnrX2WWXys5Hk8//TQA4IQTTpDOeOq24yFzEe3iRqjl9ttvx/vvv48jjjjCdHnsJJeyZdyxY0f0fyeH0vL7AcTnsGnTpoZusAyje02WeG/F8WDRe+CpVasWXnnlFUyZMsXwWjfjbJPjkWQExfFQFR7807lKqMWK46E5MG4ID6tDJZ3AyPHo27cv5s2bh1NOOcWx7fPYDbXw69epU8dx4WHlfIwYMQJr1qzBsmXLpGLXqvCw4niojGpRRVV4mHE87ORTyBwClbaHXXfPnj3R/+vXr2+5PCLsDNF2ItRiJ8dDr6zLli3DmDFjhG0EWybthXuy8pLjUYNxI8fDzeTSQ4cORd9ieeSRRwpjilYdD6+SS93IKVDFSHjYvcH9CLXoOR6ic8/vy8lQS6tWrXTvIS+FR9AdDzvXmhnHQ7VMTjse/PGZaVudCLXIHsrshlratm2L++67D8cee6xwXQ0nhQc5HkmGUfa6FVTFiMwW1rvIDh06hFtvvRXLly/HV199ZbhdwJ7w6N69e/S7k046SXc/LHr1qDriwQ2MhIfdG9yv5NIgOB4qBC25VGU7ov07MYGYHeFhJsdD9dqyGr6UYeehzi/hEQqFlOeMMZqJt3bt2tLfRJ9ZEs3xCLYsCiB2Qy0iO9fNeTwOHTqEUCiEE088UbqMk47HI488gr/++gu5ubm4+eabY5a3KjyC7HjYHU7oR46H2eTSRBQefjseqqMczJxHJ0MteqNaVPeTaKEWo3tNlOBsdK9p2xS9DoHHaF4aI8fDTI4HCY8kw26oRfV9HWYcD72LTDbLpmy7os8q62nlqVevHhYuXKi0HxazjkdQhIdfjoeZhoVfNijJpSqohiyCllyqtx8WrxyPRAi1BNHxMEoutSs82HNqx/FweiZht3E81DJ+/Hj07dsXnTt3xjfffOP05n3HDcdDpbHnl2O3o9dpqwz9dMLxUEnMS5YcD1bMmekMBg8eHPedF6EWflmzyaX8d2ZmFLVLoiSX8vcML2KsOB6i824Vp0Itl1xySfR/1ZctqhLUHA+Ve7R169Zo164dAGDChAnCZYxCLXZyPPjRi0F3PBxvLdq0aYPRo0fHvbY4WXDD8QDiLxQzo1r0hmvxeRYinJzHQ49EzPEwGk5rRgBNnToVTz75pOH2eeyGWkKhUEw5zSaX8h2y6Fy5NfV3EHM8PvvsM/Tv3193Gb7OZNvWqze9d6aYxalQy+OPP46xY8fi008/Nf2iOiP8DrXIRrXo1Yf2iohQKISvvvoKK1asiAsxa5h1PMy0y+yrKoDgOx6Ol27AgAHVG1Y88LKyMmGlOZG0yaM1Bk4+2aSkpJjaHq9MtXVTUlJiREk4HI7bLhuDzMnJif6elZWF9PT0uHo8//zzcdNNNxmWT6WzMVovEonYqtfU1FTp+rKps50c/ihDdLNXVFRYKkdWVhYuvPBCXH/99dHvVK4fFRdCBD/JnFbuvLw8aUcoOh72eLVtVVVVYfjw4XjuuedwyimnKNWBlftP1A6ouIZ615MM1Wv41FNPxamnnoquXbviiy++iH7fv39/zJ49G0D17KLstvg61H7T6zAzMzNjXgUfCoUsX/Oi811VVSW9tj799FNMmTIF1157bcw+69evj3vuuSfmGJzCbttqhNH5tfJiN3abWVlZOPbYYxGJRIT1LevTtPXz8vKkvxlx6NChmGVVhJgT/aEIlbbJd1k0ffp0PPfcczHfDRw4EIMGDXJtn+vXr7e8LjuOHQA2bNhgevZBjcsuuwxFRUUA4tV4aWlp9DeNq666Cq+++irKy8sxceLEmN/r1KmDbdu2RT9PmzYNPXr0iPlOBp8HEg6HleqIFVEHDx6MKy+PrCyhUEi3HtlJizR27dpluD8nMHoKTk1NNXU98ddPeXm54XGUlJTEfN62bRt2795tuC92u2xjUFpaiu3btwvXEV13O3fujPm8Z88eFBUVYdSoUTjllFPQsWNHU+fCTH3xDuH27duF+yotLY35XFFRoVSm4uLi6P9VVVWmjoPdZ2lpKe666y60bNkSnTt3xp49e2LONX8Na/vRy8HiH9527Nhh+Zrnz+HOnTtRVFSELVu2xC27f/9+tGjRAo888khMWd1m//79MZ/37dunvO9du3bp/h4KhbBu3TrdZfgHN6D6ejO611TLyB8fAGzevDn6YMULAPY3ALrl2LJlS0w5jOoD+Ps+tNMfimjZsqXhMr4Lj8svvzwu9u2m47F+/XoUFBRYjpfyQ8hatGhhav3CwkJ88MEH+Omnn3DNNddEVS7fyOTm5qKwsDBu3bVr1+LgwYNxJ7dBgwYxHXvz5s3j1pfBTxUcCoWU6ui4447DqlWrAFTHe432t2/fPuH36enpuvXIdypA9QyGqsdnByPLPiUlxdT1xIfFsrOzDY+DfwNo06ZN4zoSEex22eNo06ZNTIdrVB7++igoKIguI5txVISV+48/9iZNmgjri7ep8/LylK4PPq5u5ppirfPMzEx07NgRHTt2FC7Ln3dtP7KX9QHxOQeyY1eBn95c25bo+s7Pz/fk3uLh66hRo0bK5WjevLnu7+Fw2HBbovQAlTdOq5ZRtC22neaPgb3PgHhHZPz48bjrrrsAVL8agu2bmjRpoluWcDiMgoIC2/2hVUwJj2HDhmHlypXC36644gqMGDHCdAHS09NdERl6mI2R8+vqfVbhvPPOi3vpmugFSaJt829l1OAFUVZWlqXRKdpnlTp6/PHH8fXXXyMcDuORRx4xXF4WfsvIyNBdV/SmR6N1nELlmMxcT/yxpKSkGK4rujZUchjY7bJ1n5+fr/uiO748/JNYZmam7URH1fVFLywTrcvXh2w5HrZuZaEHFVSm1mbRljWT95SWlma5fLL2RdT2qlyTbiCaqE61HEavoVc5JlFyaWpqqmHagNVrWdu+tj4vsvlrmA/T33zzzWjRogXatm0bN8JIr33Izs7GvHnzYq7BQAuP559/3q1yJAxunSCV5FI9eOFh5rXM/DGpho4aNGiA1atXRyfRMbsfDSPhGbThtCxmz5PoFfVG2B3VAsTWV506dbB161bhcqLt8uEOLx8UgphcamV5WRzdzugkM/DrOjGPh9PYSdw3ys9QOSarM5eqYndUC/+wkJ6eHjPKiEXWPt555524++67Y3IE/cDxK6y8vBylpaWIRCKoqKiI/p8sJIrw0BueymN1OC1QXR9WXirHYtSRBW04LYvZ8yTrAMzsw67wqF27tqnXtPOJkYkgPPyeQIxH1sjr3Tv8Ok6OarE6nNZN7IxqMXrQUjkmK6NazGD0ni4j4SHKQZEhu1ZSU1OFAstrHG+9R44ciRUrVgAArrvuOgDAnDlzpCGCRMOtYYN2Z56z43jYER5mSETHQ+UFUW5uX7SM6twCom1oI6DMzCvBOx5mRK1dkkV46I0i4sujLeum8HBiAjGnsTOPRyIID7tTpoty3WTIrpWgzO/heOv97LPPOr3JQJGMjocTeStW9qNhVFYvZ8rksZq3oooX83gAwGGHHYZ169ahdevWwm1qiEQnhVrMbUeE6jweqamp0Vi+6iRkKsju8WQJtRgJD5X7LDU1FRkZGTEdvOp7WFSQ5dNomA216CG73oIiPPy5whIYt9wAu8KDzwhPJsdD1AAlaqiFX8dsAqS2jtn9Pvnkk7j66qujQ9eNHA92+zUl1GIWN3I8+GRX2W9mMeN4+NU52Qm1OJHjAcTnebgdarHqeBidI9n1FhTh4ftw2kSDHA/rWBUeoVAo7kkkKMLDSjnYyeK8yvHo1KkTnnnmmZhtiNBe/MWW0U/Hw+13tTglso22o5rjoSc87JTVjZfEOY2bjofKMYVCIdSuXTtmDgwvQy38cFn+nLGjWoza96ALD3I8TJIowsOO4+EWVoWHaJmgCA8r1wN7br0KtfCIznnt2rXx4IMPAgCOP/746Pf8/ALJmuNhlieeeCL6/+OPP667rBOOh8qLyGTIHi5Ew4ATMccjLS1N91zK7rOjjjoq+n+LFi2E4Q6vkkuN3mh85513Rr/TZsiVofpqDr8g4WGSoIZaeOFh5qnU6rtazCI7JpWOjF8mKDkeVjphdpteJZfqlQEA3njjDWzYsCE6ydHLL7+M5s2bo2PHjrjhhhtilvWq7oFgC48uXbpg6dKlWLp0KU488UTdZVWTS9ly8+uYSS7k0XNWjDo8r7ATagmFQrrhFtkxvf/++7j44ovx7LPP4rDDDhMKD/5eM/NQx2LkeBj9VlhYiB9++AFLlizB2WefrbuvoDseFGoxSaKMajE7JNbqumZIRseDr3cVzDoeToRaePj169WrFzOLZuvWrbF27VrhHC1evoDKy+RSK5xyyilKy6mGWnr16oVXXnkFQPWbYCdOnBj9zcxwSqP9sPWYmpoas+2gCA+zApd/t43etjVat26N119/PfpZ9KI2ft1atWqZSvTUsCs8AODoo49W2hc5HkmGHbtTD7uvwNZ7Q60RXjkedoSHaAZLLzC6Ua0IDyccD6Nz9NRTTymXQfRZ+067Nh599FEAQO/evQ1niXQStx0PrzpZ1VDL5ZdfjhtvvBHDhg3D2LFjY35zUnjoid9EFh6q25ahEmrRm+ZeD6NQi5PI2iUSHgkKn+HvFHZDLXbsb3I85Bg1WFYEn1nhIRIJsvXuvfderFu3DiNHjtTdpl5HJGLUqFHYuHEj5syZY1heJwm646GKmeG0kyZNwrRp05Cbm4s+ffpEfzvmmGMs719PaAYl1CKa1t0MeqEW1fZURXhYnYBLxfFgHQ2rIR2g2onr27evbg6Rn5DwMIlXjoeVC0Sbo6FDhw6m1gv6cFogmDkeWVlZlp7+rU7+xZZJVi7tpXVGWGmQmjZt6llHrWF1VIsXOR5mUHU8+PI8++yzGDZsGF555RXTL6TU224i5HjYcTz4dVWPSTSklV/XquNnNJwWAObOnYtRo0Zh4cKFttq4UCiEd955J+6N4EERHpTjYZKgOh4AsGDBArz99tsYMGCAqfX8djxUEjSD6Hg0bNjQUl3pjVwwWl4rk6xcVqev96uzMaKmOR788TVs2BB333237bfFmgm1BGUeDzvCIz09PWb4qZ1QC18f2pBzAHEvZ9ODb8NE+VOFhYXRsKYT8PsMivAIZmsTYNwSHnaTSwGgVatWuPXWW9GyZUtT6/md46EiIvzK8dDrmMw0OizsuVVx0MyMarEqPILSIPEEeVSLGa6++urosbzxxhvR7/0S/UEMtdgZ1QLEhlrMhhI1eOEhSi7Nzc3F66+/joEDB2LhwoXK5VN175zEiX7FDcjxMEmQQy1W8TvUonKsfgkPPawKD7YeVBwPM/N4kOMh/izjpJNOiv7fr18/k6VTp169evjpp5+wYcMGdOvWLfq9V6I/EZJL7czjAcReK2VlZUhNTY0+KDoZaklJScHFF1+Miy++2FT5rLyZ2i4kPJKEZBQeXnVCsu2q7C8IlmHt2rWxd+/e6OeGDRta2o4TjoedugSsPxF6jduhlt69e+PWW2/F2rVrDUcC2eXwww/H4YcfHvOdV46H0XBavTJ5hZOhlrKyMmRkZJgWHirJpVbvFat5J3YIShiNh4SHSYKc42EVv2cuVbkB+Q7I6yRHoHoECys8vHI8anKoRdWetjoiIhQK4ZFHHrFWOAfwK8yZCMmldke1pKamRiddczLHw+q9kpKSgnA4HL3nvbjngnqfB9NfDTDkeFhHdkxWHA8/4IfOOuF4UHKpPm47Hn7jl+PBXlN8hx0U4WF3Hg/2mlBtT1VDLVZh2zE/6pmER4JSExwPrxo/DSuOh1ewoxH4zs0Jx0NFyHqR4xGUBonH7RwPv/Erx4Pdj9Hr2L2CvwbNtkN6wsOq4+H0u2xIeFRDwsMkbjkefiYBedX4paam4swzz4z7PlEcD76eaFSL+yS78PBrVAt7vvm3ogbF8TAL79ywxxiEHA8g1sXx454Lyn1OwsMkQZ0y3Q5eNX4A8OGHH+KXX37R3b+IIDgePH4KD7uOh1di0y7JHmoJouMRlHk8zOKG4+FkjgdAjodGMFubAEOhFnukpqaibdu2Md8lquNh9Z0NZnM8RFYvOR6xkOOhj16OR1BDLWbhhYfZlzGKtuGm40HCg1CGfUJ1snELUnKp1yNGEsnxmDRpEgDg2GOPRZs2bSxt02yOhxvDaRMluVQ026MIcjz00TvfyRpqYbdnddtuJpdSqIVQZtSoUdH/X3vtNce2GyTHw+uGJ8jCg+fGG2/EL7/8gv/+97+2GjONoIxqCUqDxJOSkqIUqyfHQ59EcDycDrWwx2x126LkUgq12Ccx7s4A0bJlS3z99dfYsWMHzj77bMe262dyaSI4HkEItWhooSIV0SCCkkvNkZGRgQMHDgBIPuERhJlLk8Xx0AvLWb2+nRYelFxaTWLcnQGjc+fOjm+zJjseVqZM9wo21OKUIDPreLgxnNbvc24GK8IjUUItfo1qYfcTFMfDbpvnRqilrKyMkktdILitTQ0jSMLDa1T2HyTHwy5BGNWSaI6HRrI5Hn6FWliCIjyCEmo566yzov/Xr1/fNcdDb8ScWwTlPk+Mu7MGEKTkUsrx+Bs3HI8ghlqC7nhoJJvj4VeohYUPtSTLcFqrwuOVV17B1KlT0aNHD2RmZrqW4+HW1Ax6BOU+D0YpiEA5Hl44IA8//HD0f5W3PAbB8QiK8BDFndnfVEgkx0PFnibHQ5+a4Hg4FWpp2LAhxowZg1NOOUW4biILj6Dc54lxd9YAaprjccMNN6BOnTpo0aIFjjzySMPl/epI3LBD7eZ4yL7T+54nUd5OC8Q6HjSc1hp6203W5FK2bu3cx062zex1ScKD8J0gTZnuheORkZGBq666Snn5oFiETlCvXr3o//n5+YbLi66FmhRq0Z7I+SdaFnI89EkEx8OuyHdLeJDj4TzBbW1qGDUt1GKWIHeMZnn00UeRnZ2NjIwMPPfcc4bLi66FmhRquemmm1BQUIC7775bukyiCo8g5HgERXhYHZ6uoTecNijCg3U83JoFWw8/ElpFJMbdWQOoKe9qsUoQOkan6qVZs2bYuHEjKioqUL9+fcPlzYRaktHxGDBgAAYMGKC7TKKGWvwaTsvCT/2fqMKDP+dmQ5oynLxX/HY8SHgQMQTJ8QhiJ5So9q+MOnXqKC/rRaglCMLODuR4mNsPC19Xft1rdjtiven1nRQeiZzjERThEbwepoYSpOTSIDoeQRBDftWLG6GWRBCbZiDHQx8z201Ux0NPeAQluZQcj2oSu7VJIoKUXBrETijZHA8zuCE8nFovKJDjoY+Z7frlftntiNmwZaNGjQKf40HCg/Adcjz0SfRQgB1EnYasPoIoGr0gUYVHEB0Pv+5/u45Hbm4uHnvsMVx44YX45JNPAhlqYa9LP4QHP8maX9TMViqABCnHI4jCo1mzZtH/+WS4ZMcLxyPR4esoUUItQcjx4CktLXWlDEbYFR4A0LdvX8ycORPt27cPpPDw4wHqjTfeQGpqKnr06BF9waXfkPAICCQ89Dn++OMxfPhwtGnTBgsXLvSlDEHK8bCbXJpskONhbj96lJSUuFIGI4477rjo/+eff77t7TkVanGybfZDeFx00UXYvn17nAvkJ4lxd9YAghRqCapd/+yzz3q+zyDERMnxMIYcD3P70aO4uNiVMhhRUFCAmTNn4quvvsKtt95qe3tBzPHwK2RsZhSdFwSzh6mBkOMRfPyqF1FnJCtLTT13/HGT4xGL0XZvu+226P/dunVzpQwqDBw4EBMmTEDDhg1tb8upUIuTrxdIlOvSbagWAoKfo1oSIbnUL4LqeKSlpeGEE07A119/HfM9nbtqgura8QRlVMvYsWPRunVrtG/fHg0aNHClDF7j1HBankR0PIIGCY+AECTHI1Eaba8JUo5HKBTCp59+iu+++w6nnXZazPdE4tRDUByP7OxsU+9OSgScCrXwkPCwD/UwAcHPKdMp1CInqI4HUD26p2vXrjHfkWhMLLy692riPe1UqIWHhId9qJUKCJRcSsgwcz5qYgeTyHh179XEe9qpd7XwkPCwT827GgNKkEIt1HkFC2qskhdyPNwjiDkelFxaDQmPgEDJpcGEbbCClOMhIwihIUIdrxyPmnhPu5XjYecc0UNENSQ8AgI5HsEnSMNpZThpKScaXbp0AQB07NjR55KoQ6LfPSjHI7iQ8AgIlOMRTILgIJi5Fsy8/+Gzzz7DkCFD8MUXX1gpVuCYM2cOpk2bhnnz5vldFGW8GlEWhOvYa4IYaiHhUQ0FnAICOR7BJ9kcj9NOOy1mKG6i06hRIwwbNszvYpjCK8ejJgqPIA6npRyPaujRNiAESXiQ4/E3QWiwzXRGQSgvoY5X9152dnb0/8LCQlf2ETQo1BJcqIcJCEEKtZDjkbjU5ByPRMSrey89PR3z5s3DNddcg48//tiVfQQNGk4bXMj3CQh+jmqhUEvwqVOnDvbs2WMYGiHhkVh4ee+de+65OPfcc13bftCgHI/gQsIjIJDjEXz8rJdvvvkGH330EQYOHKi7HAmPxILuPfcIYo5HXl6eY+VIZBwVHn/99ReeeOIJ/Pjjj4hEIujUqRNuu+22pHnpkJsEacp0yvH4m6DkTLRu3RojR440XM7MqBbCf0houEcQczzOO+88HHnkkfj9998xe/Zsx8qUaDjawxQXF6N79+6YPXs2PvzwQzRs2BDjxo1zchdJS5CSS6kx/Jsjjzwy+n/r1q19LIka5HgkFiTy3SOIoZbU1FT8+OOP2LhxIy644ALHypRoOOp4tG/fHu3bt49+HjRoEP7v//5Pd52ysjKUlZXFFio1Fenp6U4WDcDfjXIQG2dRZ+9XOUOhUCDryA8mT56MFStWIC0tDf/+979j6iWI11NlZWWgysMSxPryG75D5OuG6kwdvq54x8OpOrTbPqakpKBhw4a+n1O3ri0VMe1qjsd3332HVq1a6S4zffp0PPfcczHfDRw4EIMGDXKtXOvXr3dt21bZsWNHzOeioiLP9r1z586Yz6FQKJB15BeffPIJQqEQ9u3bh3379sX9HqS62rlzp6fXjhWCVF9+w997snNHdaaOVlcHDx6MfldeXu7YfbF161bk5OQ4sq0g4PS11bJlS8NlXBMe69evx9NPP43x48frLnf55Zdj8ODBsYVy0fFYv349CgoKAmdx8sLDy7H2DRs2jPkcDocDWUdBI4jXU506dQI7T0MQ68tv+HuPP3dUZ+rwdZWbmxv9LRwOO3ZfFBQUBPYeM4Of15Yp4TFs2DCsXLlS+NsVV1yBESNGAAC2b9+O6667Dtdccw1OOOEE3W2mp6e7IjL0CIfDgbuJ09LSYj57WT4+ZhkKhQJZR0ElSHUViUQCUxYZQaovv+GH0cvqhepMHa2uRo8eHU3gnDJlimP1l5qamlTnwo9ry5TweP755w2X2bNnD0aMGIF+/frhwgsvtFywmoaf47vpXS3JA41qSSwokds9OnbsiM8++wzFxcWOzl9Cc3HYx9FQS3FxMa677jqceuqpGDp0qJObTnr8vJhpVEvy4HfCGmEOEvnu4sa7iEh42MdR4bF48WKsXr0aRUVFmDVrVvT7JUuWOLmbpISEB+EEJDwSC7rXEg8SHvZxVHj07t0bvXv3dnKTNQY/31pIsycmDyQ8EgtyPBIPEh72oas+IATJ8aDGMLFg3zxKUzInFiTyEw8SHvahHiYgBCm5lBrDxGL+/PnIyMhAYWEhrrzySr+LQ5iARH7iQcLDPvSSuIBAjgdhlVNPPRWbN29Gbm5u3LBsItjQvZZ40IOZfUh4BIQgCQ8i8cjPz/e7CIQF6N5LPOic2YfkdkAIUnIpPYURhDfQvZZ4eD3hZTJCV31ACJLjQYqeILyB7rXEYP78+TjqqKMwfvx4ZGZm+l2chIdCLQEhSMml9BRGEN5A91picPbZZ2PVqlV+FyNpoKs+IJDjQRA1D7rXiJoICY+AECTHgxpDgvAGcjyImghd9QEhSI4HQRDeQPceURMh4REQSHgQRM2DHA+iJkJXfUAIhULRNynefPPNnu6bGj+C8AcS/URNhEa1BIj58+dj5cqVOOGEEzzdLzV+BOEPJPqJmggJjwCRmZmJE0880fP9UuNHEP5Aop+oiVCPQ1DjRxA+QaKfqInQVU+Q8CAIn6B7j6iJkPAg6KmLIHyC7j2iJkJXPUFPXQThE3TvETUREh4EPXURhE/QvUfUROiqJ+ipiyB8gu49oiZCwoOgpy6C8Am694iaCF31BD11EYRP0L1H1ERIeBDU+BGET5DjQdRE6KonqPEjCJ+ge4+oidBVT5DjQRA+QfceURMh4UHQUxdB+ATde0RNhK56gp66CMIn6N4jaiIkPAhq/AjCJ+jeI2oiJDwIsnsJgiAIz6Aeh6CnLoIgCMIzSHgQ5HgQBEEQnkE9DkGOB0EQBOEZJDwIcjwIwidI9BM1EepxCGr8CIIgCM8g4UGQ8CAIgiA8g4QHQaEWgvCJtLQ0v4tAEJ5DPQ5BjgdB+ET9+vXRr18/pKSk4IUXXvC7OAThCal+F4DwH3I8CMI/3n77bezfvx+1atXyuygE4QnU4xDkeBCEj4RCIRIdRI2ChAdBwoMgCILwDBIeBIVaCIIgCM+gHocgx4MgCCLBWbx4MUKhEPbs2eN3UQwh4UGQ40EQBJHgnHzyydi8eTNq167td1EMoVEtBDkeBEEQCU56ejoaN27sdzGUoEddghwPgiAIBfbv34/BgwcjJycHTZo0waRJk3D66afjxhtvBAC8/PLL6Ny5M/Ly8tC4cWNceuml2LZtW3T9GTNmoE6dOjHbfPfdd2Me/lauXInu3bsjLy8PtWrVwvHHH49vvvkGAFBUVIQ+ffogPz8fOTk5OProozFv3jwA8aGWnTt34pJLLkGzZs2QnZ2NDh064PXXX4/Z9yWXXIIbbrgBt912G+rWrYvGjRtj3LhxzlaaAHI8CHI8CILwnc6dO2PLli22tlFZWYmUlBRT6zRu3DjasRsxatQoLFu2DHPmzEGjRo1wzz33YMWKFTjuuOMAAOXl5bj//vtx5JFHYtu2bRg1ahSGDh0aFQcqDB48GB07dsR//vMfpKSk4Pvvv4/OcDty5EiUlZXh888/R05ODlatWoXc3Fzhdg4dOoTjjz8et99+O2rVqoW5c+fi//7v/9C6dWt06dIlutxLL72EUaNG4b///S++/PJLDB06FKeccgrOOuss5TKbhYQHQRAE4TtbtmzBxo0b/S6GlP379+PFF1/Ea6+9hjPOOAMAMH36dDRt2jS6zBVXXBH9v1WrVpg8eTJOOOEEFBcXSwUCz7p163Drrbeibdu2AIAjjjgi5rcLL7wQHTp0iO5DRrNmzXDLLbdEP19//fWYP38+Zs6cGSM8jjnmGIwdOza6r6eeegoLFy4k4UEQBEEkN07kJ1h1PFT4888/UV5eHtNp165dG0ceeWT087fffotx48Zh5cqV2L17N6qqqgBUC4Z27dop7WfUqFG48sor8fLLL+PMM8/EwIED0bp1awDAv/71L1x77bVYsGABzjzzTFx44YU45phjhNuprKzE+PHjMXPmTGzcuBFlZWUoLS1FdnZ2zHKaiNFo0qRJTHjIDUh4EARBEL6jGu6QUVVVhaKiIhQWFvqSt1ZSUoKePXuiZ8+eePXVV9GgQQOsW7cOPXv2RFlZGYDqfLpIJBKzXnl5eczncePG4dJLL8XcuXPx4YcfYuzYsXjjjTfQr18/XHnllejZsyfmzp2LBQsW4MEHH8Sjjz6K66+/Pq48EyZMwBNPPIHHH38cHTp0QE5ODm688cZoWTT4FxWGQqGoYHILR8/OgQMHMGzYMJxxxhk4/fTTce211+Kvv/5ycheEC1COB0EQhD6tWrVCWloavv766+h3e/fuxW+//QYAWL16NXbu3ImHHnoIXbt2Rdu2beOcgwYNGmD//v0oKSmJfvf999/H7atNmza46aabsGDBAvTv3x/Tp0+P/lZQUIBrrrkGs2fPxs0334znnntOWN5ly5bhggsuwJAhQ3DssceiVatW0bL6jaPCIz09HaNHj8bHH3+MTz/9FKeffjruueceJ3dBuEBubi5OOukkAMDo0aN9Lg1BEETwyMvLwz//+U/ceuutWLRoEX7++WcMGzYM4XAYoVAIzZs3R3p6Op588kn8+eefmDNnDu6///6YbZx44onIzs7GXXfdhTVr1uC1117DjBkzor8fPHgQ1113HRYvXoyioiIsW7YMX3/9NY466igAwI033oj58+dj7dq1WLFiBRYtWhT9jeeII47Axx9/jC+++AK//PILrr76amzdutW1+jGDo8IjNTUVLVu2jNpJKSkp2LBhg5O7IFzi008/xddff+3JUCqCIIhE5LHHHsM//vEP9O7dG2eeeSZOOeUUHHXUUcjMzESDBg0wY8YMvPXWW2jXrh0eeughTJw4MWb9unXr4pVXXsG8efOiw1vZNjclJQU7d+7EZZddhjZt2mDQoEE499xzce+99wKoztsYOXIkjjrqKJxzzjlo06YNpkyZIizr6NGj0alTJ/Ts2ROnn346GjdujL59+7pVNaYIRfiAkwNcfPHFWLt2LaqqqjBy5EgMHTpUumxZWVlczCk1NRXp6elOFwtVVVVYv349CgoKaO4KCVRH6lBdmYPqyzxUZ+r4UVclJSUoKCjAhAkTMGzYME/26RRu1ZfKtlwRHkD1GOKPPvoIDRo0wCmnnCJdburUqXExqoEDB2LQoEFuFIsgCIIgLPHzzz9jzZo1OPbYY7F//348+eSTWL58ORYtWoS6dev6XbxA0LJlS8NlTAmPYcOGYeXKlcLfrrjiCowYMSLmu0gkgnPOOQdvvvlm3GxtGuR4BAuqI3WorsxB9WUeqjN1vKir7777DldddRV+/fVXpKeno1OnTnj00UfjhqQmAn46HqaG0z7//POmChCJRFBSUoLt27dLhUd6erorIkOPcDhMN7EBVEfqUF2Zg+rLPFRn6rhZV8cffzy+/fZbV7btF35cW47O47F69WocOHAAHTp0QEVFBZ599lnk5eWhRYsWTu6GIAiCIIgExVHhUVFRgYkTJ2LDhg1IS0tDu3btMHny5LgJSgiCIAiCqJk4Kjzat2+P1157zclNEgRBEASRRFDQkCAIgiAIzyDhQRAEQRCEZ5DwIAiCIAjCM0h4EARBEAThGSQ8CIIgCILwDBIeBEEQBEF4BgkPgiAIgiA8g4QHQRAEQRCe4drbaQmCIAiCIHjI8SAIgiAIwjNIeBAEQRAE4RkkPAiCIAiC8AwSHgRBEARBeAYJD4IgCIIgPIOEB0EQBEEQnkHCgyAIgiAIzyDhQRAEQRCEZ5DwIAiCIAjCM0h4EAThC5s2bcKJJ57odzEIgvCYhBUeZWVluPfee3HeeeehW7duGDp0KH744Yfo7zNmzMCZZ56JHj164IknnoA2M/xff/2Fm266CWeeeSbOOOMM3Hrrrdi+fXt0vUmTJuGCCy7AaaedhosvvhhLlizx/Njcok+fPjj11FNx8ODB6HeHDh3Caaedhj59+vhYsmBB9WSfPn364Pvvv/e7GIFmxYoVGDp0KLp164YzzjgD11xzDTZu3Oh3sQJJnz590Lt3b1RUVES/Gz9+PKZOnepjqYKDW/3h1KlTo9vs168f3nvvPUfKm7DCo7KyEk2bNsXzzz+PRYsW4ZJLLsFNN92EAwcOYOnSpXjrrbcwY8YMzJw5E1988UW0woqLi9G9e3fMnj0bH374IRo2bIhx48ZFt5udnY3Jkydj8eLFuOWWWzBmzJikagwaNmyIxYsXRz8vXrwY9evXN70dtgFIRpyqJ4IQUVxcjJtvvhmXXXYZFi1ahPfffx8XXXQRUlJS/C5aYDlw4ADmzJnjdzECiVv94bnnnotZs2bhs88+w+OPP44pU6bgjz/+sF3ehBUeWVlZGD58OBo3boxwOIyePXsiLS0NRUVFmDdvHvr164fDDjsM9evXx5AhQzBv3jwAQPv27XH++eejVq1aSE9Px6BBg/Djjz9Gt3v11VejsLAQ4XAYnTt3RqtWrbB69Wq/DtNxevbsiQ8//DD6+cMPP8Q555wT/fzCCy+gd+/e6NatGy6//HL8/vvv0d/69OmDF198EQMGDEC/fv08LbfXWK2njz76CFdddVXMtsaOHYsXXnjBm4IHjHHjxmHatGnRz++//z5GjBjhY4mCQVFREdLT09GjRw+Ew2FkZ2eje/fuaNy4MSorKzF16lT07t0bZ599NiZNmhQV+lOnTsVdd92Fm2++GaeddhqGDx+OTZs2+Xw03nDppZdi+vTpwoeet956CxdccAHOPPNMjBkzBsXFxQCAESNG4IMPPogupzmXW7Zs8azcXuBWf9i8eXNkZWUBAEKhEAA48iCesMKDZ926ddi3bx8KCgqwdu1aHHHEEdHfDj/8cKxZs0a43nfffYdWrVoJf9u3bx/WrFkj/T0R6dy5M9asWYPdu3dj9+7d+OOPP9ClS5fo7y1atMDLL7+MhQsX4sQTT8TYsWNj1l+0aBGmTp2Kt956y+uie4rVejr99NPx66+/Ytu2bQCA0tJSLF68GD179vTlOIhgUlhYiPLyctx///1Yvnx5tKMEgFdffRXfffcdXn75Zbz99ttYvXo13n777ejvn376Kfr27YuFCxeiffv2cfdostK5c2c0btwY77//fsz3y5cvx7Rp0zBp0iS8//77OHToECZOnAgAOOuss/Dxxx9Hl12yZAkOP/xwNG7c2NOye42T/eGMGTNw6qmnon///mjYsKEjeVlJITwOHTqEMWPGYOjQocjNzcWBAweQk5MT/T0nJycmXq+xfv16PP300xg5cmTcb1VVVbj33nvRo0cPtGzZ0tXye0lKSgp69OiBBQsWYMGCBejRo0eMvdujRw/k5+cjNTU1+iR/4MCB6O8XX3wx6tWrh8zMTD+K7xlW6ykzMxPdunXDggULAABLly5F69at0axZM78OhQggubm5ePbZZ1FWVoaxY8firLPOwpgxY1BSUoL33nsP1157LfLz85GXl4chQ4Zg4cKF0XWPOeYYdO3aFWlpabj66qvx448/xsTlk5nhw4fHuR4LFixA//790apVK2RlZWHkyJH4+OOPEYlE0L17d6xYsQL79u0DAHz88cc4++yz/Sq+JzjdHw4dOhRLlizBjBkz0KNHD6Smptouo/0t+ExFRQXuuOMOFBQUYPjw4QCq8zRKSkqiy5SUlETtIo3t27fjuuuuwzXXXIMTTjghbrsPPfQQiouL8eCDD7p7AD5w7rnnYuLEiYhEIrjllltQVVUV/e2dd97B66+/jq1btyIUCiESiWDv3r3Izs4GADRq1MivYnuO1Xrq1asXpkyZgiFDhmD+/PnkdhBCDj/8cNx///0AgF9++QV33HEHXnjhBWzZsgX/+te/otZ2JBJBw4YNo+ux92BmZiZq166NHTt2oEGDBt4egA906dIFDRo0iAmf7NixA8ccc0z0c5MmTVBaWoq9e/eiTp066NixIxYtWoSzzjoLX375JW677TY/iu4JbvWHoVAI7du3x7x58/DOO+9g4MCBtsqZ0MKjqqoKY8aMQSgUwrhx46I3asuWLfHHH3+gW7duAIA1a9agdevW0fX27NmDESNGoF+/frjwwgvjtvvEE09g9erV+M9//oP09HRvDsZD2rVrh7179wIAjj766GhMb9OmTXj00Ufx7LPPom3btigrK0PXrl2jGdDA33G+moDVejrhhBOwbds2rF69GsuXL8edd97p2zH4TVZWFkpLS6Ofd+7c6WNpgstRRx2F7t27Y82aNWjYsCEefPBBtG3bVrjs1q1bo/8fOnQIe/furVGJz8OHD8eDDz6I448/HgBQv379mDrZsmULMjIyULt2bQDA2Wefjfnz5yMjIwNHHXVU0taVW/0hS2VlJdavX2+7rAkdahk/fjx27tyJhx56KMb+6dWrF2bPno0NGzZg586dePXVV9GrVy8A1Vm81113HU499VQMHTo0bpvTpk3D0qVLMXny5Bh7KtmYMGECJkyYEPPdgQMHEA6HkZ+fH01wq+lYqaeUlBScffbZuOeee3DcccchPz/fyyIHiiOOOALLli1DcXExNmzYQKMS/sdff/2FV199NRoiKSoqwueff46jjz4a559/PqZMmYIdO3YgEolg06ZN+Pbbb6Pr/vDDD1i6dCnKy8vx3HPP4eijj64RbofGSSedhHr16uGzzz4DUC0s3nnnHaxduxYHDx7ElClTcOaZZ0Y73tNPPx3ff/893n777aQOs7jRH77zzjvYv38/qqqq8M033+Cjjz4SOiJmSVjHY/PmzXj33XeRkZGBM888M/r95MmTceqpp2LAgAH45z//iaqqKvTt2xcXXHABgOphkatXr0ZRURFmzZoVXU+br+OZZ55BWlpazHwNd911F84991yPjswbRAmzhx9+OPr374+LL74YWVlZuPLKK5GWluZD6YKD1Xrq1asXXnvtNfzzn//0qqiBpFevXvjyyy9x3nnnoUWLFujZsydWrlzpd7F8Jzs7Gz/88ANeeukllJSUoHbt2jjjjDMwdOhQhEIhVFZWYtiwYdizZw8aN24ccx316NED77zzDu688060adMG9913n49H4g/Dhw/H9ddfD6BaiAwdOhQ33HADSkpKcNJJJ+Hmm2+OLpubm4suXbpg6dKlePjhh/0qsqu41R8uWbIETz31FMrLy9G4cWPccMMN6Nq1q+3yhiKsj04QhCPs3r0b559/PubPnx/Nj6lJnHHGGXj++efRokULv4uSVEydOhXbtm3DmDFj/C4KQVgmoUMtBBFEIpEI3njjDZxxxhk1UnR88803iEQiaNKkid9FIQgigCRsqIUggso555yDnJwcPPXUU34XxXMeeOABLF++HHfddRcyMjL8Lg5BEAGEQi0EQRAEQXgGhVoIgiAIgvAMEh4EQRAEQXgGCQ+CIAiCIDyDhAdBEARBEJ5BwoMgCIIgCM8g4UEQhG2++eYbdO7cGZ07d8amTZv8Lg5BEAGGhAdBEKYYN24cOnfujKuuuir6XW5uLtq3b4/27dsn5YsVCYJwDppAjCAI27Rt2xYzZszwuxgEQSQANIEYQRDK9OnTB5s3b477/plnnsE111wDAJgzZw6aNm2KcePG4YMPPkCTJk1w9dVX4z//+Q+Ki4tx/vnnY+TIkXj66acxZ84c5Obm4vLLL8eAAQOi29u+fTumTJmCL7/8Env27EGjRo3Qp08fDB06NObNmwRBJB50BxMEocyRRx6JgwcPYs+ePcjJyUHLli0BAKtXr5aus2PHDjz00EOoX78+SkpK8Prrr2P58uXYtm0bcnNzsXXrVjzyyCM4/vjj0bJlS+zZswdDhw7F1q1bo/v4888/8cwzz2Djxo0YO3asV4dLEIQLUI4HQRDKTJw4EaeeeiqAahEyY8YMzJgxA23btpWuU15ejqeeegqzZ89Go0aNAADr16/H66+/jrfeegsZGRmoqqrCt99+CwCYOXMmtm7dinr16uHdd9/F66+/Hn2d+QcffID169e7fJQEQbgJOR4EQbhKrVq1cNxxxwEAGjdujK1bt6J169Zo2rQpACA/Px9btmzBrl27AAA///wzAGDnzp0466yzYrYViUTw008/oaCgwLsDIAjCUUh4EAThKjk5OdH/U1JS4r4LhUIAqkUFv54WymHJzMx0o5gEQXgECQ+CIEyhdfyHDh1yZfvt2rXDsmXLkJKSgvHjx0edkZKSEixatAjdu3d3Zb8EQXgDCQ+CIEzRokULAMCqVatw0UUXISsrC8OHD3ds+4MGDcJ7772Hbdu24cILL0TLli1RUlKCrVu3oqKiAr1793ZsXwRBeA8llxIEYYrzzz8fPXr0QG5uLtasWYOffvoJVVVVjm0/Pz8f06dPR58+fVC7dm2sWbMGpaWl6NixI0aNGuXYfgiC8Aeax4MgCIIgCM8gx4MgCIIgCM8g4UEQBEEQhGeQ8CAIgiAIwjNIeBAEQRAE4RkkPAiCIAiC8AwSHgRBEARBeAYJD4IgCIIgPIOEB0EQBEEQnkHCgyAIgiAIzyDhQRAEQRCEZ5DwIAiCIAjCM/4fX2iIOCCBxgwAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "on.generators.gaussian().generate(start=pd.Timestamp('2022-01-01'), end=pd.Timestamp('2022-12-31')).plot();" ] }, { "cell_type": "markdown", "id": "bb922dbb-03eb-4888-ae64-e7b297dcb9ba", "metadata": { "papermill": { "duration": 0.002505, "end_time": "2024-01-31T17:50:30.132043", "exception": false, "start_time": "2024-01-31T17:50:30.129538", "status": "completed" }, "tags": [] }, "source": [ "## Random Walk Time Series" ] }, { "cell_type": "code", "execution_count": 10, "id": "9802955b-6791-43bb-80d4-74ccb4119d70", "metadata": { "papermill": { "duration": 0.139674, "end_time": "2024-01-31T17:50:30.274173", "exception": false, "start_time": "2024-01-31T17:50:30.134499", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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KitJ8nPkKrZ5YftzbwUSpmBgMBvFzM5g4TqmYhIeHi+OXlJQkwq+nrgZNRL7DYEK6cDWYKOSxKArzcFBeXu5OEwGou2jMg4my1LnWeztDqysH+OfnPnHiBGpra11+/VCiVESysrIQHh4u9rdu3VrcrzXLiogCB4MJ6UI+0crBRCtwZGZmWuzTCjDmPLFmha+6cgB1INO6KB2p1dTUiIHCyvgShRJM6urqOM6EKMAxmJAu5IpJdHS02Ha0YuJIMPHEDAxvBBNrFRM5kLE7x74jR46IbXlcCfBPMAHYnUMU6HQJJp988gmuvfZanHnmmZgzZ47qvi+//BKjR49Gfn4+nnjiCbc+8Ml/WauYOBpM5G4Ua7xZMamrq3P5PeRgYq1iUlRU5PLrhwp5YKt5xUS+KCKDCVFg0yWYpKWl4ZZbbsHw4cNV+wsKCjBz5ky88MILWLZsGYqLi/H222/r0QTyMWcqJlpdOfLS9dZ4OpiYdzPpOfgV4JRhZ8krBVvrygEYTIgCXYQeLzp06FAAwM8//6za/80332D48OFi9c8bb7wR06ZNw5QpUzRfp66uzuKbakREhEPfpp2lDJjjwDnrnDlG8qDS6Oho8Rw5pChatmyp+ZrNmjWz2V1TWlrq9u9LDg2xsbGq14uI+Oefh7Wl621RHi9XTOLj48V+eRG5oqKikP7bc+RvS/486dGjh+qxclDZv39/SBxLfmY5jsfKOXodL+UyH/boEkys2bNnDwYMGCBud+jQAUePHkVVVZXmoMj58+dj7ty5qn1XXHEFxo8fr1sbuQ6CfY4cI/kxNTU12L9/PwD1Be0U4eHh4n7ZvHnzsGTJEvE7N199tbCwUPN5zpC7UCoqKlSvJ4erQ4cOufxeSrgKDw/H0aNHRTVInu68e/dut3+WYGDrb2vlypUAmipZWVlZquMlf+Dt2LEjpI4lP7Mcx2PlHE8fr7Zt2zr0OK8Gk+rqalU/vtLfbi2YTJo0SXXRN0DfisnBgwfRqlUrh1NdqHHmGG3atElsp6enizEA5kvNJycnY+DAgZpdN7m5uRgzZgwAoE2bNti6davqfqPRqBpb4Ap5ymm7du1UryevKNqsWTOn30s5XkrVLzExEW3atBH3y8ewsrLS7Z8lkNn72yoqKhJdOf3790fnzp1V92dnZyM8PBxGoxHHjx8PiWPJzyzH8Vg5x9fHy6vBJDY2VvWtVymja4USoGkApB4hxJawsDD+4drhyDGSx2TExsaKx5v/rrt3764KB9bk5uZaBJOysjK3f1dyVSQxMVH1evLfntFodPm9lK6chIQE1WvIY0yKi4v5dwfrf1tyN05+fr7FY6KiotCiRQscPXoUx44dC6ljyc8sx/FYOcdXx8ur79iuXTsUFBSI24WFhcjIyLAaTChwWRv8al4Z6d69u0Ovp/UNWO9ZOZ5aYE0J4PLAV6DpuCjh5O+//0Z1dbXL7xHs1q1bJ7aHDBmi+RjlYn68kB9RYNMlmDQ0NIjBgkajEbW1tTAajbjgggvwww8/YPv27aioqMC8efNw4YUX6tEE8jFrK7+aczSYtGjRwmJfICywZjKZrAYTABg1apRox4oVK1x6j1AgL0DXqVMnzccoF4usqqpS/f0RUWDRJZi88847OOecc7BkyRLMmzcP55xzDpYvX44OHTrgX//6F+69916MHj0aLVq0wE033aRHE8jHrK1jYs7RYKJVVQuEBdaqqqrEIFetCxNedtllYvvTTz916T1CgXz5Aa2AB/xTMQGauvmIKDDpMsbk1ltvxa233qp535gxY8SARgpe1rpyzClTx+3p2bOnxT5PVkzCw8MtxjN5YoE18zEs5kaMGIGkpCSUl5dj6dKlaGhoUE1TpibylOukpCTNx8jBpLS0VHN9HCLyfxwFRLqwVTEZO3YsgKaZNlpdNFouuOACXH/99ejZs6c4MZ08eRJGo9GtdirBJD4+3mL8iycqJtauk6OIjo7G4MGDAQCnTp3iNXOsUComkZGRVoOuHEw4zoQocDGYkC5sVUzmzJmDWbNm4fvvv3f49QwGA9577z1s2rRJLOAHqK+f4go5mJjzVFeOwloXRHJystjmAFhtSsXEWrUEYDAhChasGZMubA1+zcjIwJ133unya3fo0EFs79692+KCbs7QO5jIY1isBRN5/IwcZOgfSsXE2jEE/hn8CjCYEAUyVkxIF44OfnVFx44dxfbu3bvdei29g4m9rhyAwURLY2OjamVcJZiwYkIU/BhMyCEmkwlvv/02PvvsM9UJwxpHB7+6wlPBpKGhQQxq9WVXDoOJ2q+//ormzZtj0KBB4nekBF1bFRMGE6LgwK4ccshXX30lZlr17NkT5513ns3HO7qOiSs8FUxsTRUGPLPAmvwejlRMzK8HFIry8/NRW1uLdevWYc2aNaoZWc5UTOrr61FeXq7q4iEi/8eKCTnk3//+t9h+9NFH7T5e7srxdMUkJydHhB13golcnfBGVw4rJvZVVlaq/nZOnDihmirsaMVk79696NSpEzIzM8XF/4goMDCYkEPkk7Qjq2rqWTEJCwsTA2ALCwtdnjJsr2LijXVMzN871IPJt99+q7p9/Phx1eJqtiomcmVkxYoV2LdvH+rr6/Hwww97vqFEpBsGE3KIvOiXI1Na9Rz8CvzTnVNXV4cDBw649Br2TnienpXDwa/2ffHFF6rbxcXFDldM4uPjVb8zxbZt2zzXQCLSHYMJOUReL+TQoUNobGy0+Xg9B78C6nEmu3btcuk1Tp06Jbb1CibsynHO+vXrVbdLSkocrpgYDAZVd44iOzvbcw0kIt0xmJBddXV1OHz4sLhdVVWluq1F72AiL2W/adMml15DPuHJi5wpPD0rhxUT22pra7Fnzx7VvpKSEocrJgA0g8mRI0ccmklGRP6BwYTsOnjwoMUH+44dO2w+R+nKiYqKsljq3RP69Okjtv/66y+XXsPbXTmsmNi2f/9+i0qcMxUTAEhNTbXYV1FRgZMnT3qkjUSkPwYTsmn79u24/vrrLfbbCyZKxUSP8SUA0LlzZzGdd+PGjS69hje6chhMHGdeLQEsg4m9ikn79u0197s6DomIvI/rmJBNEydOxG+//Waxf+fOnTafp1RM9AomkZGR6N69O/7880/s3LkTlZWVmjNrbPFGV44cTOQAImMwaVJYWGixz3zwq72KybRp0xAZGYl+/fqhqKgITz31FICmYNKrVy/PNpiIdMGKCVnV0NCgGUoA2C2NKxUTPcaXKJTuHJPJhC1btjj9fG925SQkJCAsTPufG4NJk71794pt5ZicOHFCtYqrvYpJu3bt8M4772Dq1Klo27at2M+KCVHgYDAhq2wNcLW3QqneXTkA0Lt3b7G9YcMGp59vryvHkyu/Whv4CnDlV4VSMTEYDBg0aJDYL3fx2KuYyFq3bi22GUyIAgeDCVklf4MFgIsuukhs2zuBKl05elZM+vfvL7ZffvllpxdBc6Yrx9UF1pTjZOubPismTVUvJZjk5uYiNzdX3PfVV1+JbXsVExmDCVFgYjAhq+RgMmvWLHz66afitr0TqDcqJgMGDMDgwYMBNC1N/+qrrzr1fL0Hv5pMJoeCSWxsrNgO1WBSWFgo1nzp0qULWrZsqfk4ZyomrVq1EtsMJkSBg8GErNq3b5/Ybtu2LSIiIkT3hq2KSUNDg5j2qWcwMRgMmDVrlri9ePFip56v9xiT2tpasVy+ra6cyMhI8V6hGkxWr14ttgcNGqRZwQKcq5jExsaK6cPFxcXuNZCIvIbBhKySKybKQELl272tYKL34mqy3r17IysrC4Dz34qVYBIdHa3ZTnkZfleCiTMLgykzikI1mPz0009iOz8/H23atNF8nLN/T0rlhcGEKHAwmJBVcjBR+vyV8RCOBhM9KyaKnJwcAE0nH2fGgihdOda6BwwGgwgnrgQTR5ajVyjHNRSDiclkEhWT2NhY9O/fHxdccAHy8vLQqVMn8bgzzjjD6ddOT08H0PS7CMVjSxSIGEzIKiWYtGjRQnRFOFIxkS/gp3fFBPhnLIHJZLK7VL5MqZhY6zYA/unOcbdiYqsrBwjtYLJv3z4cPHgQAHD22WcjKioKiYmJ+P3337Fz505s2bIFd955J9577z2nX1seq1JSUuKxNvsrk8mEp556ClOnTlUFY6JAwgXWSFNtba24cJ+8HoQ/VkzkQY6HDh1Stdcak8kkgomtAZWRkZGorq7WvSsnlIPJ9u3bxfbAgQMt7u/WrZtqLJEzzIOJtS6iYLF69Wo8+uijAJr+rp977jkft4jIeayYkCb5wmfytEulYtLQ0GC120SumHg7mCjfvO2prq5GQ0MDAPvBBHC/K8fRiklNTY3dKzcHGznANW/e3KOvrXTlAKFRMVm6dKnYfv75533YEiLXMZiQJnnGinzFVkcWA/Pm4FfAtWBibw0ThTILyZV1TFypmABNoSmUyMfJ2csK2CNXTEJhAKy11YWJAgn/ikmTtQunyRUQR4KJNwe/Aq4FE70qJq4GE1935+zcuRNTpkzBd99955X3c6ay5KxQq5iYL4p49OhRH7WEyHUMJqTJ2onbkROoLysmP/30E0pLS+0+x97iagp3gokc3BztyjF/ni/cc889mD17Nq6++mqvdCvpGUzMKyZGozGoB4WaX6HZlUs1EPkagwlpsvZtX16l1NoJVC6Zp6Wl6dA6tczMTISHhwMANm/ejM6dO9udneNoV06oVUxMJhN+/fVXAEBpaakqwOnFmWnVzpIrJjt27ECHDh2Qnp5u9eKUgcxkMlkEkz/++MNHrSFyHYMJaXKkYmItmCizeQAgOztbh9aphYeHq/rWjx8/jldeecXmc7zRlePK4FfAt8GkuLgYZWVl4rZ8ZV+9ODOt2llyxeTbb7/Fvn37UFVVhSeeeMKj7+MPTpw4ofq7BoCNGzf6qDVErmMwIU3uVEzkaoWyKqve8vPzVbffeustmyV7b3TlBGLFZOvWrarb3ggmenblJCYmao5z+v333z36Pv7AvFoCeOf3R+RpDCakyZ2KiRxMvFExAYDnnnsOF198sbh96tQpfPzxx1Yf72xXTkNDg5g+7Sj5hGtvtom/BJNt27apbgd6MDEYDJoXBPTG2Cdv0womoTbDi4IDgwlpkr/ty8HEXysm/fr1w5IlS7Bs2TKxz3yGgszZigkArF27Fg8++KDq4obFxcX46quvVGu3KOSAYS+YyPf7cnCmecXEkYHE7nKmsuQKeZyJ4tChQ6r3DQYMJhQsGExIk7Xpws6MMUlNTVUFGW+QQ4at2S3OjjEBgCFDhmD69Om45557AACNjY3Iz8/HmDFj8Mgjj1g8Vw4m8nHTIldtzMcJeJOvKyaeXscEAIYPH665f+fOnR5/L186duyYxT5Hqm+bN2/Ggw8+aBFKiXyFwYQ0WauY2AsmJpNJBBNvdePI5BObo8HEkQXWZF988QUAoKioSJzcZs6cafE4+duqvWCSkpIitk+ePGnzsXoxmUw+HWMSExMjZld50jPPPIOlS5fi3//+NwYMGCD2b9682enuOX+mNYPKkYrJjTfeiOnTp2Py5Ml6NIvIaQwmpMmRBda0vo2VlpaKbg1fBxNb3xZd6cpRKOMg7C3YJb+/vcqRPwSTkpISiyDizWCiR7UEaFoNdcyYMXjqqafw2GOPif033ngjJk2aFDThRP43qxxLR4KJEq4LCwv1aRiRkxhMSJO1fn97FRN5qrC3xpfIHF2ozJWuHPP3sLeqphJMoqOj7VYC/CGYaJXyvTld2F5VyRM6d+6suv3uu+/iq6++0v19vUEO2xkZGQDsd+UYjUZx/DkehfwFgwlpUk7cMTExqpOzvcGvvpiRI3OlK8fZYKJ8w3c0mDhywvWHYGI+vgQIjoqJrE2bNmjXrp1q30MPPQSj0aj7e+tN/ptu0aIFgKZp7rZ+NvkLiK8vhUCkYDAhTcoHlvlJ215Fwp+CiSNdObGxsZrhQ6F1X1VVFYxGI4qKilT7zbsEAi2YaFVM9J6V09DQIC5h4I1gEh4ejtWrV2PRokWierJt2zasWbNG9/fWmxJMEhMTVdOubVVC5CqL0Wh0ab0eIk9jMCFN8oecTD7Jzp8/Hw899JDqfvlknZmZqWMLtUVGRopuE0cqJrYGviqvp6WystKiYmJ+AnAmmMjt8Idgogz61btiIs/I8UZXDtB00ccrr7wSDz/8sNi3atUqr7y3npSQkZSUpKpsOjrWCmB3DvkHBhOyYDKZrFZMzAdxPv/886r1QuTSsFwF8BaDwSC+edv6QFaCia1uHMB6MKmoqLAIJubTfJUPeUdOuDExMWJgsS+CiTwjJysrS1S7gjGYKOTVglevXu3V99aDHLblf6e2wob53yy7c8gfMJiQhdraWlHStdWVo5DL4HKVwhuleS3K+1qrmJhMJt2DidFoFLOTHD3hKkHOF8FEnpHTrVs3NGvWDEBTMNHzCsN6rvpqT25uLtq0aQMAWL9+veYieYFCvmpyUlKS6m/O0a4ce48l8hYGE7JgbaowoL2U99q1a8W2PwQT5UPZWjCprKwUJ1t7XTnyxQFlFRUVFmNM5OPmzBomCl8Gk127dontLl26iGDS2Nio6wqpvqyYAP9UTWpqagL6isPm6w6xK4cCGYMJWbC2uBrQ1FVizl8rJtY+kB2dkQM0XalYi72KiTNrmCiUYHL69Gk0NDQ49BxPkbtsMjIyRDAxv8/T5L81XwSTIUOGiO1ADibmCwY62pXDYEL+iMGELMhLW2tdu+Syyy5T3d6xY4d4jj8EE+UEV1NTozlV0tHF1QDrU4KPHj1qcU0ba8HE2YoJAOzbtw/PPfccbrrpJrzxxhu6LwImV2lSUlLQvHlzcVvPmTl6L0dvjzxA25fXKHKX+d+0oxeFNA8mHGNC/oDBJIQZjUasXLkSBQUFYt+qVatw1llnidtaJ+4PP/wQW7ZsEdeMAYCVK1cC8I9gYm/KsKPL0QPWg4l8zLRe191gcsstt+Dhhx/GvHnzcPvtt2PRokUOvYarzIOJfFy0ljr3hOrqarz11lviti/+XhytLPg78yogKyYUyBhMQtgHH3yAESNGoGvXrmK65Hvvvad6jNaAxPDwcHTr1g1jxowR+5QTpxJMDAaDzy4tby+YOFMxadu2reZj9Q4mP/30k+q+hx9+WKz3oQfzYOLoejDuuPvuu1WrrvqiK8fXwaSmpsYjF21kVw4FEwaTELZixQoATatDDhs2DEePHrW44qqtmRL5+fmiFL58+XKUlZWJk1h8fLzmeBRvsLcInDNjTGbOnIm0tDR06NAB06dPF/v/+OMPm6/rbjAx74Lav38/3n33XYdexxlFRUWYNm0ali1bpmqHo10B7pg7d67qdqhVTA4fPozs7GxkZ2djx44dbr0Wu3IomDCYhDDzb+AfffSRRZVj1KhRVp8fHh6Oq666CkBTuHnzzTdFEPBVN475e9sLJva6cjp37oxDhw5h586dqvEIW7ZssXisteW9HQ0mqampNu/fsGGDQ6/jjClTpuCJJ57A77//LvaZV0xsLVTnDvPQ6+ggYU/yZTC55557cOLECVRUVKhCrytc7cqxtvYOkS8xmIQw8w+loqIi1TeoI0eOoEuXLjZf4/rrrxfb//73v3HgwAEA/hNMtL4BKm0E7FdMgKYp0mFhYaoTqdZgVE9WTBTKOhuAPld//eKLLzTb4Y2KSXp6uuq23G3mLfIJXM+uMi3Lly8X2+4OMJb/3bIrhwIdg0kIM18vo6ysTHxQNWvWzKEl5fv06aNa2lvhy2Biqyvn8ccfxxNPPCFuOxJMFPYWANMjmLRt21ZUUrTGtbjD2kwfbwUT+SS4ePFii4vreYOy2q55e/RmNBpVxzUtLc2t1zOvmLjalcNgQv6AwSSEmQeTEydOiH32ujhkTz/9tGp6KeC/FZO3335bdduZn1MrmJx99tli21PrmMhSU1PRvn17AMDBgwc9ujppWVmZxb6oqCjExMR4pStHOUYdO3a0mILuLb7qyvnrr79Ut92tmHhqVg7HmJA/YDAJYVrBRPmgcuaEbTAYVAtyAf4TTMxPqkeOHFHddjeYyAt0uVsx0RpjkpKSgg4dOgBoqnDs27fP0eYKu3btwueff466ujrVfrlLS34/g8Hg1YqJL2bjKHwVTMwvGsiuHKJ/MJiEKJPJZBFMjhw5IlYcdfYCfP4UTKx15ZifYPv27YuuXbs6/LrWKiYREREA3A8mGRkZFvvkigng/DiTiooKDBgwAJdeeilee+011X379++3eLzye9e7YuLKtYT0EBYWJq6k7M2T8u7du1W3PV0xcSRYyteMUjCYkD9gMAlR1dXVFt+g5asEO1NJACy/7ftLxUT+UJY//IcNG4bff//d6rVwtGgFkz59+ohxKu4GE/PBoEBTUJCDibPjTNauXSu+Fd93332q+2wFE70rJvJAU1/MxpEp7+/Nwa/mq8xau/SBo8ynCztSMamoqLC4QCODCfkDBpMQpXWhOHn8grvBxJffgq1925eDSYcOHZwKJUDT+Av5asPNmzdHdna2x4JJVFSUxVgddysmtha5c7RiokcwceX46EUZAOvNk7J5Fcrdqzgr1zOKiIhAQkKCQ8FEa2E3jjEhf8BgEqLsXcHW2WASCF05cjAxDwCOkqsmffr0gcFgEMdKGaNjMplcPvGaz4Ryt2Ji60TjaMVEj64cVwYH60V5f18GE6PR6NbS/8q1qtLS0hweI6T1fqyYkD9gMAlRng4mgdaV46lgAkBcW6ihoQEpKSlo27ataiVPd4JJamoqMjMzxcUUN2/ejM2bN6OkpMSh1zP/ViwfD2uDX83brMe3aPkE6OuKiT8EE8D1cSYmk0l0BbVo0QKAY4N6GUzIXzGYhKhQCSaerpjIV1vu3bs3AOD2229XPWb//v1YvXq1uO1uxSQsLEyEoIMHD6Jnz57o1KmT5nRfc/JqtMrz5XaaU4JJTEyMuKSA3hUTBpMmro4zqaioEN2wSjBxZH0WrWDCrhzyBwwmIcpeMAnGWTl6VUy6d++OYcOGOdQee7SCCdA0g0h26tQpfPfdd3Zfz1owOXjwoGbVRTmhyd0BeldM/KUrp6GhQcxK05snKyZKNw7wz0JtYWFh4nfJrhwKNAwmIUoOJrm5uRb3B0vFxFpXjqsrbfbq1QtA01LxnTp1EvunT5+uOasGcL8rB/gnBMkcGZNgHkyU7pu1a9dqPl4eAK0cx1CpmADem5mjFRZcrZjIwUSpmAD2K0EMJuSvGExClNwNoLUUeLAEE/nDV/7gd7ViMmPGDMybNw/fffcdwsPDxf68vDwUFRXhggsuUD3eYDDYnBljznwtE2sVEwA4dOiQ3dezVjFZs2aN5uPlYKJnxcSfBr/6Yll6vSomDCYUDBhMQpRcMfFEMPGnrpyUlBQRPDZs2IDGxkasX78en3zyiXiMq8EkKSkJkyZNEquxygwGA/r376/aFxsbK8ZqOMK8YqKcXDp37mzxWFeCiVIxUYJJWFgYrrzySnH/4MGDxbbyOwyVwa9A4AUTo9GoGjckBxN7wZLThclfRfi6AeQbcjDRuqprIK9jYjAYMGjQIHzxxRcoKyvD4sWLcfXVV6vu11r+3RPy8vJUt5WuH0dZu3BiREQEhgwZgp9++knsc7ViUlZWhi1btgBo6iJ68803ATRVa8aNGyceq/wOKysrYTKZnApY9vhTxcTbwaSurk6MZUlISBCLrTnblVNTU4PRo0erVpHVqphwjAkFGlZMQpSnKyb+1JUDqL/533nnnar7UlJSVN0wntS/f3+xcFtkZCSeeeYZp55v64rOs2bNwrXXXituOxJMzL8VFxQUYOfOnar2pqamYtGiRXj55ZdV4UMJJiaTyaMXDwRCu2IiV0vk8V3FxcVOvc7SpUstlraXg4lSxaypqdGs0MjBxBfL8hNZw2ASouxVTJydlWP+rdfXwWTQoEFi2/ybqDNjPpyVmZmJl19+GSNHjsSaNWs0BxbbkpCQIK7fI1d5gKbqy//+9z907NgRgGsVk71792Lbtm3itq0uLT2vlxPKg1/lY9mxY0exmvCePXuceh3zZe0B9aBueTC21gwsOZgoY5uqq6thMpmcagd5zooVK9C/f3/Mnj3b103xKQaTEKUsYR0WFmZRMYmMjFQNCHSEeZnf18Gkb9++Vk94R48e1fW977zzTnzzzTcW400ctWzZMsydO9fionuKnJwcAE3VEK1xAjLzYAIAS5YsEdvyuizm9FxkzZ+mC3t78KscTJKSksS/v4KCAqeWpdcKi3LFpGXLlmJbqxqjFUwA714ziNRGjhyJP/74A1OmTPF1U3yKwSREHTlyBEDTB1LLli1x/fXXi/vOOOMMt8cT+DqYREZGak6xBVwf+Ootbdq0wc0332wxoFihBBPAftVEK5h8+eWXYlvrwoQKPa+X468VE28Hk/j4eDGQurq6Wvy7dIQ8G0ch/23LFRNbwSQ8PFz1PHbn+Ib5SszuXDsp0DGYhKC6ujrxQaWc5N577z388ssveOqpp1SzV1zl62/BAESXh8xgMGDmzJk+aI3ntGrVSmw7GkyysrI0w6KjFRM9u3J8/bfi62Ai/506cy0krWASEfHPfAZHg0lycrLqGHBmjm+sXLlSdbu+vt5HLfE9BpMQVFRUJPqR5W/fAwcOxL///W+cccYZLr3uSy+9BAA499xznR6jogf54ndA0wm9pKQEN9xwg49a5BmuVEyaN2+Oc845x+J+WxUTb3XlhHrFRA4m5oNZbdEKJjJngolyhWxAexox6e/7779X3a6rq/NRS3zPJ9OFb7nlFmzZskXMjOjTpw9mzZrli6aEJPlkJp/k3HXPPffg8ssvR1ZWlsde0x3ma420atXK5RVf/Unr1q3Ftq1v2A0NDeJEm5iYqPl7sVUx4eBXfXgqmJgP6h47dqzqtq3BryaTSQSQ5ORkVbehMv6MvMdkMrFiIvHZOib/+c9/MHr0aF+9fUjTK5jo8XruMA8m2dnZPmqJZ/Xs2VNsb9y40erj5PEliYmJmlUsDn717eDXuLg4j1RM7r33XkydOlV1v63BrzU1NeLEl5SUpJru78jFIcmzTp06ZfE7YsXET9XV1Vn8ciIiIsSce09SBhqFwoAjOZhkZWU5/DMH2jEynwadmZnp1bbrdbyysrLQrFkznDhxAn/99ZfV15dnXSQkJGiuTRMXF2f1+XIwqaio8OjPIZ+cY2JifPq3JU8fr6qq0r0NcmCMjY1FdnY2oqKiUFdX59TMHCWYtGnTBi+88AIA9fGTZ+gUFxer7pPDR1JSkiq0lpaWBsy/cUf5+2eXVpWqpqbGZ+3V63gpazzZ47NgMnPmTMycOROdOnXCv/71L82BivPnz8fcuXNV+6644gqMHz9et3bJyzsHK3kdi4iICOzfv9+p5wfqMYqLi3P6Z/UEPY5X586dsW7dOhw9ehR//PGH6iSk2LVrl9g2GAwwGo0WjykvL7d6TOQqycGDBz167OR1dEpKSkSI8sXflhwUioqKdP8bOXz4sNiurq7GoUOHkJWVhX379mHfvn0W779//35kZGSoApTRaBQns6SkJKttjo+PR2VlJQ4dOqR6jLxmSkREhOqqyoWFhT75d+IN/vrZtX37dot9+/bt8/maMp4+XlprZmnxSTC566670K5dO4SFheGjjz7CXXfdhU8++cRi1sCkSZNUK10C+lZMDh48iFatWjmc6gKVPLgtLy/P4UXAAv0YtW/f3ukFz9yh5/E666yzsG7dOgBN35zNl8IHmk6yiszMTM0PhTPOOMPq9Gl5LEtsbKxHj53yTSwsLAwdO3aEyWTy2d+W/HNFR0fr/jcif37l5uYiNzcXmZmZ2LdvHyoqKpCVlSUWXZszZw6mTp2Kbt26YcOGDWJ/SUmJOGllZ2dbbXNGRgYKCwtx4sQJq6vMZmVlqa6UbTAYvPrvxBv8/bNr7969FvtatGjhs9+Dr4+XT4JJ9+7dxfaECROwdOlSbN68GQMHDlQ9LioqSpcQYktYWJhf/uF6kvyNLScnx+mfN1CPUXx8vE/arcfxkq82vGnTJlx44YUWj5G7S8wHOMr7rbVNnrFTVVXl0Z9BqcbExsYiPDxcFVS8/TuSvxDV1tbq/v5yJSoxMRFhYWGqQdknT54UA1eVcSNbt27Fjz/+KK5eLV/wr0WLFlbb3LJlSxQWFuLkyZNoaGgQn6dylUi+6KXy/oH479sR/vrZpXXdIqPR6PO2+up4+cVvyNcHP9QoY0xatmyp6/Ls/uCjjz4C0PThPWbMGB+3xnN69+4ttv/66y+L+/fs2YNRo0aJ21qDX+0Ff3lgrNZCbe5QBpn6ekYO4PvpwoB6YTRrVxnesGGD2JZn5Gh14ymszcyRT4TJyckc/OpjctemIpQHv3o9EZw+fRrr169HXV0d6uvrsXDhQpSXl6uqKKQfo9EoVpf0pxk0ehk/fjy2b9+OXbt22VyzI9B07NhRBHqtMvC0adNUY0q0gom946Hn2hZK1cAfgok8K+ett95SrYyrB3vBxNpVhufOnYsvv/wSDQ0Nqhk5jgYTuftGPhFyurDvMZioeb0rp6GhAa+//jr279+PiIgIdOrUCa+88kpQnTT82enTp8UJKxjW9HBE586dfd0Ej4uMjERmZiYOHz5sMUDNZDLhhx9+UO3r2bOnxawcW1OFAX2DiVKZ8PVUYa02TJkyRdfqmlYwkf8tKhUTpZSvdHPt378fY8eOxezZs1WzJWz9O5ZDixxm5O2WLVuqQisrJt6nFUy4jokXpaam4v333/f229L/J38oMgwGtlatWuHw4cMoLi5GbW0toqOj0dDQgF9++UU1juiHH37AOeecY3HCsff716srx2Qy+VXFJCkpCQaDQQwmPXz4MOrr68VAU0+Tx5hoVUwuvfRS9OnTB++//77mdM2ff/5ZNVjV1rWfzINJY2Mj/v77b9XfR8uWLREREYHExEScPn2awcQHWDFR4+COEKP1bY0Ckzxr5tChQzAajRgwYACGDBki9j/11FMYNmwYAHUFBPBdxaS0tFRMT/WHCyomJyfj/vvvV+3TszvDXsUEaFo476qrrtJ8flVVFSoqKsRtW79HOZgcP34cU6ZMQZ8+ffD666+L/cpCbMo4E3bleJ9WGAzligmDSQjYtGkTrrnmGnz22WcMJkFEvpjfwYMHsXv3bouVYOWQolwCQmEvmMTExIiLwnkymMjL6GutX+QL06dPx4QJE8RtawNQPUH5NxgWFiYGn2sFtC1btlh9vqP/js0rJm+99ZbFY5RgoowzKSsr8/n6GaGGFRM1BpMgd/DgQZx11ln48MMPMWHCBNUHLoNJYJMrJgcOHBCDmhXR0dHo37+/ap8cTux15RgMBhFe9Aom5pcN8CVHZsa8+uqruPbaa+1ePNEWZUZMYmIiDAaDxXtrefHFF8X26dOnHQ4mciVG66J/UVFRojKmVEzq6+t5hWEvYzBR8+sl6cl9N954oxhoWFFRgb///lvcx2AS2MwrJuYVkfvuu0814wRoCibK4Gd7FROgqTunrKzMo2NM5OvBBFIw2b17N+666y4ATeFg6dKlLr2PMm1XvpaNvYHorVq1QnR0NGpra50KJtYGvypatmwpwpH5lGF+PngPB7+qMZgEsZqaGotLaculfn7wBDbziom8Js27776LG264weI5cnhxZHCn8m2aFROoQr2rU4pra2tFxUQOJlqL38kyMjKQmJjodDCRA4/5FYbN2yAHkxMnToTEcgL+QmuMCSsmFJTkJckVDCbBQ66YvPXWW+jatau4bW0pa2XMCADNa+eYU4JJdXU1GhoaVM93lRJMDAaDw9fO8AZ7wcR8fRGTySSqDY4yn6arsBcS09PTkZiYiOPHjzsVTKKjo5GUlITy8nLN655YC0ecmeNdrJiocYxJENMKJlu3bhXbDCaBzXwpcvnijJmZmZrPkSsmjgQTPaYMK8EkJyfHoqvJl+wFk3379qlua/37skeuWsihwB6lYgKox5gYDAa7a8Eo3Tla42KsVUz0HPxLag0NDapZVopQrpgwmAQxex+cDCaBzWAwWO0K8VQw8fSU4RMnTojpqP7UjQPYDybmV9yVg6CjHA0m48aNU91OTEwUv4va2lrxDTs2NtZu1cbW+BW5DXKVbd68eTZfkzxH6zo5AIMJBSkGk+D3f//3fxb74uPjrQ5s9XUw2bNnj9hu376926/nSf4UTOTrHKWnp6tmSAH/LC/vyMq5tpasl9swbtw4Ma5k2bJlmDRpEisnXiB3m8kLDrIrh4KS+fRRcwwmge/mm2/Grl27VPusVUsA4JJLLhHb55xzjt3X93RXjrx4V0ZGhtuv50nOBpPt27c7/R62gol86YTu3btjyZIlGDFiBBYsWABA/btQQqIjK+c6GkxiY2Px5JNPitsLFixQre1C+pDHl8i/q1CumHDwaxCTKyZnnnkmfv31V9X9DCbBoV27dqrbtoLJc889h0OHDiExMRG33Xab3df2dMVEDjeOTFf2ppiYGMTHx6OystIimNTV1VkEfXm8lqNsBZOFCxfihhtuwKBBg3DWWWcBAC6++GJxv9bxcrdiYn79pOuvvx4bNmzAa6+9BsD6Im/kGXV1dfjvf/8rbmdkZIgAzIoJBSU5mJx99tkW9zOYBIfw8HDVjArzk40sNTUVy5Ytw6JFi5yaLgx4JpjIg/z88VpNStXEPJgcOnTIYjVUVxZZszYrBwD69u2LLVu2YPbs2ZrP1QomjlRMbI0xkaeYA01/S6+++qoIM56+eCOpLVy4UEw9j46OVlWoQrliwmASxJRgEhkZiTPOOMPifgaT4CGffDw51VOr+8Ad/lwxAdTBRA4i5t04wD9XSHaGq7NyAM9XTHJzczF8+HDN+5Q1csrLy7k8vY7kitT8+fPRq1cvcZvBhIKSEkwyMzM1P5wYTIJHnz59xHZ6errHXleumBQVFeHRRx/FBx984PLrBUowaWhoULVVK5i4smy7EkzCwsLsLqpmzpMVkwceeADbtm2zqJgolKqb0WhUrZlCniXPyOnevTuioqLE7VDuyuEYkyBVV1cnysaZmZmaH04MJsHj+eefx5dffomGhgZVn7W75GDy2GOPAWiapnzOOedYXcTNlkDpygGaqibKz6/VbeNOMDFfg8YRrlZMtK7D06NHD5uhRu4OPHXqlF/+roKBXIVMTk5WVTtZMaGgo0wnBLSDiXxlUwp8ubm5OHz4MA4dOoRu3bp57HW1ToYmk0l1vRtnBErFBFCv9CoHE+WE3tDQ4NS3WpPJpAomznK1YqJVmbH3pUQOpNbW2SD3ycc2KSlJVTFhMKGgc/ToUbGtFUzi4+OdXk6b/FtKSopLJzxb5BOUzNX1LQKtYqKQg0nHjh3FtjNVk1OnTqGmpgaA8+NLAO8GE7liwgGw+pGPbWJiIrty/j8GkyAlfzNNSUlBs2bNVEGE3TjkCGvBROkm/Pvvv5GXl4d77rnHodcLpIqJVjCJjIxUdWE5E0zk6cWdOnVyum2uBhN5qXmFM8GEFRP9KMc2ISEB4eHhqplyrJhQ0JFnDMTGxiIiIkL1AcVgQo6wNvVY6eYYN24cNmzYgFdeeUV1gUhrArVicvjwYQBAVlaWqt3OzMyRr07co0cPp9vm6hiTiIgIi98jg4l/UComyvFmxaQJg0mQkj8wlQulyd05DCbkiNTUVIwbNw5hYWGYOHGi2K9UTOQl5rWuXmsuECsmNTU1Iojl5OSoqhTOVEw2b94stnv27Ol021ytmACW3TkMJv5BObZKZZIVkyYMJkHKvGICqEu6jiyuRQQAn376Kaqrq8WsHEA9MFThyLV3lGASHR3tl3+DWsFEqZYAQHZ2tsvBRI+KiaPBxHxmjjODXznGRB9Go1FUEJXjzcGvTThdOEhpBRP5Q0wZhEdkj8FgQFRUlKriphVMHFnYTfkg9sduHEA7mMgDX3NyclQnD0eDiclkEhWT1q1b21yd1xpXu3IAVkz8kVw9ZFeOGismQUormChdOub3EzkiISFBTDH/4Ycf8NBDD6nud2SmjvJh7I/dOIBlMKmrq8NHH30k9rnalXPgwAFReXClGwfQDhOuVkzsPY/BRH/mU4UBduUoGEyClFYwkb9dubI4FIU2g8Ggqpo8//zzqvvlKwdb4+8Vk+TkZISHhwNoCiY33HAD3nzzTXG/q8FEnpHjSjcO0LT2kPm0f1crJva60RhM9Ge+uBrQ9DtW/v5YMaGgY68rhxUTcoWtdVLsVUwaGhrE352/VkwMBoM4iZeWlmL58uWq+10dY7Jv3z6x3aFDB5fbZ34xTlcHv9rDBdb0p1UxAf4JjayYUNCxVzHhGBNyha0r1doLJvJUYX8NJsA/3R5Hjx5VjQOIjo5Gp06dXAom8rV2XFnKXzF06FDVbUcrJlrL0tvCBdb0p1UxAf4ZZ8JgQkFHK5h07dpV7Ovfv7/X20SBz1PBxF+7coB/TuK1tbWq/R9//DHS0tJc6hL1VDAZNmyY6rZeFZP4+HjRpcCKiT6sVUyUYMKuHAo6WsFkypQpGDBgAHJycjB37lxfNY0CmDtdOf6+holCq7owefJkjBkzBgDcrpjk5OS43DbzgbN6VUwMBoM4WTKY6MNaxYRdOQwmQUsrmERHR+PXX3/F/v370blzZ181jQKYrW/o9ga/BlrFRJaeni623QkmGRkZqtlxzgoLC8Mll1wCoKl6lZKS4tDzXDneysmSwUQfrJhYx3VMgpRWMFE4e7l1IoV8cUhzpaWlMJlMVi8OGcgVE/mie84Gk9raWhQVFQFwrxtHMXfuXJx11lnIz893eJE6V8KQcrLkGBN9cIyJdTxDBSl5cKuj5V4ie6666iqr99XW1to8UQfK4FetcTTuVEzkBdo8EUzS0tLwwAMPODVOTK6Q2vodypSTZW1trcV4G3KfM7Nyqqur8fbbb2P9+vXea6APMZgEKVsVEyJXjRw5Ek8//TSuvvpqzfttjTORKyah1JUjjy9p3bq1m61zTVJSElatWoX//ve/mDVrlkPPkS9h4cjieeQcexUTuSvn2WefxeTJkzF06FCHVlgOdAwmQUrrIn5E7jIYDHjkkUfw7rvvat7vaDDx54pJ27ZtLfZZ68pxZD0gT83IcVd+fj4effRRmwOYZVlZWWJbvl4QAOzcuRMlJSVYvHgxrrzySvz+++8ebWsocKRiMmvWLJx//vl48sknATRVr3766SfvNtQHOMYkSCkfmDExMVb7/IlcZW1sg60BsIEy+LVv374W+9ypmMiLq/kymDgrOztbbB8+fFh0Ha1YsQIjR45EZGSk+Fa/ePFirF+/HmeeeaZP2hqI5IqJ1uBXk8mEu+++2+J5ciUrWLFiEqSUYMJuHNLLZ599hv79+6tO5LYqJidPnhTbrlzEzltSU1PRrl07cdtgMKhmvzgbTH777Tex3aVLF8800gvkac1yxeTyyy8HYDlrZMiQIXj99de907ggIAd1+W9KvpCfFkeu4h3oGEyClFwxIdLDuHHj8Ntvv+H+++8X+2wNzpNDi7Pranhbv379xLbJZFLNZIuMjBSLj9kLJkajEevWrQPQVHVp3769Dq3Vh1wxkQfwyl1ysrq6Otx1113Yvn277m0LBpWVlQCaQon535ctobBqN4NJkGLFhLxl5MiR4lveBx98gIaGBs3Hyd08/h5MtLpzFAaDQfy7shdMNm/eLEr2gwcPDqhuVfOuHEc0NjaGxBgIT1CCiflVo+1VTBhMKGAxmJC3NGvWTKyKWlxcjBUrVmg+Tq6YOLtEurfJXTlalNK7vWCydu1asT1o0CD3G+ZF1rpytCi/fwD4448/dGtTMLEWTFgxYTAJSiaTicGEvOqGG24Q259++qnmY5RgEhER4dezcgDgggsuEOHp0Ucftbg/FIJJUlKSGKSsdOVYq4ade+65ojuCwcQxrlZMQmFNGQaTIFRXVweTyQSAwYS8Y8SIEaKbYtOmTZqPUbpymjdv7vddGklJSVi9ejXef/99PPzwwxb3OxpMlPEWkZGR6NWrl+cbqjOlO+fw4cMwmUwoLi7WfFxOTg66desGoKn7ypFp1KGssbFRHCN25VhiMAlCXFyNvC0uLk4M7Ny2bZvmzAGlYuLv3TiK7t2747rrrtP8NyQHE+VLgBZlKfqMjAxERATe6gxKMKmsrER5eblqEKysefPmYjqx0Wi0Gk6pifwZza4cSwwmQYjBhHyhe/fuAJr+/vbu3au6r7a2VpSu/X3gqyOUYNLY2Gj1mib19fU4fvw4ACAzM9NrbfMk83Em1oJJs2bNkJeXJ25v2LBB97YFMuXfAsCKiRYGkyDEYEK+0KNHD7G9ZcsW1X2BNCPHEeZrmbz33nsYMmQIVq5cKfaXlJSIakqgBhPzKcO2KibyVGilUkTaGExsYzAJQgwm5AtKxQSwDCaBNCPHEfLg3ZMnT2LChAlYs2YNRowYIfbLJ+eMjAyvts9T5HYfO3bMZsVEDpy2VgAm28HE3squHPxKAYnBhHzBVjAJtoqJfO0c+Vo4QNPKqA899BAOHDgg9gVqxUQOkaWlpVaDSWxsrOqxDCa22QomcpVKce2114rtUKiYBN5oLLKLwYR8oWPHjuL6KbYqJsEQTORr5+zcuVN1n9Z06UANJuZVkCNHjlh9rHmIIetsBRN5XA8AhIeH495778XChQsBhEYwYcUkCDGYkC9ERkaKK/Pu27dPNVtF/gYdDF05cjDZsWOH3ccHaleOedgoKSmx+tikpCSxVD8rJrY5E0ySk5NVn+MMJhSQGEzIV1q1agWg6YNXvqx7MFdMHAkmwVIxOXbsmNXHGgwGEWQYTGxzNpjI1zzjGBMKSHKiZjAhb5I/VOXxCMEcTMy7crQEQ8WkpKTEbheN8nh25dhmK5ikpKSoZn2lpKQgOjpa3GbFhHzixIkTuP/++7FgwQKXns+KCfmKHEwOHjwotoO5K8d8zZakpCQMHz7c6uMDSUpKilhqfteuXXYfr/xuT58+jfr6el3bFshsBRO58gRYVkwYTMgnnn76abz44ouYNGkS/vrrL6efz2BCvqJ05QDBXTGRZ+XIunTpgm+//VZ1UTvA/toU/iosLExMX5VnGcnk2Vjy77asrEzfxgUwW8EEUE9HNxgMDCbkezNnzhTbX3zxhdPPZzAhX7FWMZHHJgRDMImPj9c8ocyYMQMDBw7EkCFDfNAqfWhVuO644w6cccYZSElJwf/+9z/Nx7I7xzo5mMjdNgo5mJw+fZpdOeR78gXOjh496vTzN27cKLaDoWxOgcNaxUT5O05JSVF9+wtkWt0zKSkpAIBevXqJlVAnT57szWZ5nFaQzM3NxbZt21BUVKS6OCHXMnGMvYqJclVnAKioqEB4eLi4hk4oDH7lOiZ+KCMjQ6wa6WwwqaiowGeffQag6UNy8ODBHm8fkTXWBr8qV6UN1LEWWtLT07Fnzx7VPqXbIzw8HCtXrsS6dessunUCjdaXmxYtWiAsLMwiZHL1V8c405Vz+vRpAEB0dDTq6+tZMSHfkKcWOhtMPvvsM3Ep9quuukpVAiTSW2pqqihNK105VVVV4sM1UGenaNEKWfJy4rm5ubj66qtV334DkVbFpEWLFpqPZcXEMfaCyc033yy2H3zwQQAQITAUggkrJn5IDhP2LoZVXV2N2267DbGxsXjttddUq07ecMMNurWRSIvBYEBOTg527dqFgwcPwmQyiWoJEHwVE3NKV04wsVYxsfdYjjGxzl4wufDCC/HKK6/gxIkTuOWWWwAwmJCPKRUPoKkcXl9fL/oXzT333HN47733AABnnXWWuNx4SkoKBg4cqH9jicy0atUKu3btEousyVW/YA4mMTExQTN+RuZMxYRdOY6RP+O1gonBYMBdd92l2qf8bYXCGBN25fgh+Y/WaDRanaYHAC+99JLYfvvtt3H48GEAQO/evVWDaIm8RT5hl5aWqiomwdSVoyy/r7B3VdhA5WrFhMHEOnsVEy1KJT0UKiYMJn5I/qMFgMLCQquPVfruAWD37t1iu3fv3h5vF5EjkpKSxHYwV0zOOuss1e1g7MYBLCsmcXFxVk+m1rpyysrK8Pfff+vTwACkfMZHRUUhIsKxjotQ6sphMPFDcsUEgMXIf4V5SU/+ZspgQr4iB5Py8vKgrZh06tRJ9bMGazAxr5hYq5YA6qrRyZMnATR9nvXv3x+9evXCm2++qUsbA40STBytlgD/BBOj0YiGhgZd2uUvGEy8pLi4GP/973/x888/232secVEWUHx0KFDqjBifml5WZ8+fVxsKZF7kpOTxXZ5eXnQVkwMBgO6dOkibgfrYM/u3buLqwYD6rVqzMknWuVzbO7cuaLq+9hjj+nUysDiTjABgn+cCYOJlzz44IN4/PHHMWLECIuZNjU1NTj33HPRtWtX7N692+IaE5WVlfj444/RqlUr9OjRQ9wvL6Qmi4qKQufOnfX5QYjssFUxCaZgAgBdu3YV245cSyYQZWVlYd26dbj55psxdOhQPPXUU1YfGxkZKcZCVFRUAAAWL14s7g/2E6qj3A0mwd6dw2DiJe+++y6Apj8oecAqALzwwgv44YcfsH37dvz73/+2eG5lZSXGjx8PoGkcyYoVKwBYDyY9e/YM2GtzUOCzNcbE2jVmAtVFF10kti+//HIftkRfAwYMwNy5c/Hjjz8iPz/f5mOVdVtOnz6NkydPYt26darXCXXV1dUitDkTTEJpWXoGEx01NDTg6quvVn2rAoA5c+bg1KlT4rayUisArFq1yuJ1zLt2lL5ba7N1Ro0a5WKLidxnrWKSmpoadAv+jRs3DpMnT8bAgQPx9NNP+7o5fkFZtbSiogIrV65U3ccrDgMrV65EY2MjAKiW87cnlComXMdERx988AEWLVpksb+8vBxr1qwR37Y2b94s7mvbtq3qgmfAPyVR89vWrt4Z6EtgU2AzH2NSUlICIPiqJUDTOJO33nrL183wK0rFpKKiwmLlanblAEuWLBHb48aNc/h5oRRMWDHR0Ycffmj1viNHjgBoKusZjUaxv66uzuKx5hUT5R+7tWDSr18/p9tK5ClyxeTEiRMiSAfrOh+kpgSTqqoqiwHBoR5MjEYjli5dCqBp2vWIESMcfi4Hv5LbqqursXbtWqv3K+FCWalVoXy7lJkHEyXUKF06snHjxiEsjL9W8h05mMgX8pMrKRS85GsDyb9/IPhPqPb89ddfoiI+cuRIxMbGOvxcjjEJYa+99hoGDhyI1atXu/U6K1assOiCkSn97vLAMEA7mBw/flx1W5nVo1RMunfvjlmzZmHixImYPXu2W+0mcpccQOQTkxxYKHjJwUS5kKMi1IOJvFjmmWee6dRzQ6krh2NMJFVVVbj77rsBAEOHDoXJZHL5tXbu3GnzfqVismzZMtV+rYVz9u/fr7p95MgR1NbWorq6GkDTwk533nmny20l8iRrFRMGk9DAYGKdPGGhdevWTj03lIKJTyomZWVluPvuuzFo0CBceuml+O2333zRDOGpp55CTk4Ounfv7rHXtFUtAZqCyfHjx2129yjMu2yKiopU40vYd0/+JDo6Wlx0Ur5eCrtyQoMyKwdgMDEnB5Pc3FynnssxJjp7/vnn0bx5c3z//fe4++678fDDD6umz3pbfX29xaJn7jIfF2Lu6NGjWLZsmZg25oyjR4+qBpUxmJA/MRgMmtURVkxCg1wxKS8vV90X7N/07ZGr36yYWOf1rpyqqiqsWrUKX3zxBWJiYpCfn4/27dtj9erVGDt2rOqxdXV1FrNUIiIiPL54mLXVKF0JDQr54nqyFi1a4NixYzh69KgYne2sxsZGbN++XdxOSUlxq63OvK/8f7ItlI9XcnKyxYyMxMREq8cilI+Vq/z1mNlaNKy2ttYn7fWXY6VUTMLDw5Genu5Ue5QqJNB0HtXzZ9HreDk6McPrweTAgQOIi4tThYEOHTpoXqhu/vz5mDt3rmrfFVdcIVZB9RRrV3c0H9vhDK1BrADQvn17HDt2DFVVVVi/fj2AptJ3dna21Yv1afnll1/EtsFgcKutzjIvz5JtoXi85G93irq6Ort/p6F4rNzlb8dMa8kDRX19Pfbu3euzmYO+Plb79u0D0HQxS/MZS/YoYwoBYPv27V75zPf08Wrbtq1Dj/N6MKmurrZI1PHx8ZpdOZMmTcK1116r2qdHxaRHjx6a+53tA5RZGzjbpk0bEUiUab85OTlo1qyZU8FEea7ymu601VGNjY04ePAgWrVqxSnJDgjl45WWlmaxr127dlb/TkP5WLnKX4+ZrYv8AUBmZqZmcNWTPxyriooKMV6wffv2Tn9mjxkzBvfddx8A4Ntvv8Xzzz8Pg8Hg6WYC8P3x8nowiY2NtRh/UVlZibi4OIvHRkVFeeWaL9nZ2Zr7jUajqnzmjKqqKrHds2dP/P3335g4caLmeJCcnBzNX35qaqrVRdTkrpxmzZp59Y8nLCzMrz4I/V0oHi+t8SQpKSl2j0MoHit3+dsxszeWqL6+XvPz3ht8eawOHz4stlu3bu10Ozp27Iizzz4b69atw5YtW7B582b07t3bw61U89Xx8vo7tm7dGlVVVaqujsLCQrRr187bTREyMjI099sbwGqLPCvnxx9/xDfffIM333xT872ys7NVA8YULVq0sPr6SkkQ4OBX8j9aM3A4+DU0aH2WyYJ9Rok17kwVVlx//fVi29bK4oHO68EkLi4O+fn5mDNnDmpqarBmzRoUFBTYvWKlnqKiotC8eXOL/e4EE+W5MTExaNasGUaOHImYmBjNgbbZ2dmaA8ZsXVtE7vpiMCF/oxVCOF04NMjThbWEajBxZ0aOYuTIkWJ77969brfJX/mkpvXQQw/h2LFjOPfcc/HSSy/hmWee8fmHllYlwxMVE/NvD56qmMgYTMjfcLpw6LJXMQn2qa7WyBdntValt0fuAgvmgOeTlV9TU1Mxa9YsX7y1VRkZGdi6datqn71F0mxRQo15JaRz584Wj83OztZMv45ejTUlJcX5BhLpiF05oYtdOdrkQObqGBv5ejnBfBz9Z8SUj2VmZlrs06Ni0rp1a4tKiLWKiXkwycnJ0XwvVkzI35h3jRoMBpvrW1Dw0Posk3/38gn166+/xrhx4/DTTz95pW2+JAcTV2clycHE1rTsQMdg8v9pndxdDSaNjY1iVo75h7HBYMCAAQNU+7SCicFgsPhw79mzp8V7RUVFOXWFSiJvMK8MJiUl+dXMEdKPVjCRuy7kYDJ69GgsWbIEQ4cO9UbTfEr+uV0NJvIsVVZMQkB4eLjFPleDiTxVWOsfqXkwyczMtAgwqampFvu01ltJTU3VbS47kau6du2qus1unNCh9ZknV6SVE6r8+erOBVMDhScqJuHh4eJcxWASAjwZTOTnaZWv+/fvr7odGRlp8Y+5Q4cOFs9t166dxYh3rdlERL6Wlpam6rJkMAkdkZGRFutPybNQlBOqr1dh9TZPBBPgn+4cBpMQMG7cOIt9rgYTedCs1rcH82ACWAaYjh07Wuxr06aNxQe8ozN3iLytU6dOYttoNPqwJeRt8viH3r17q67crpygGUxcowQTjjEJAWeddRaefPJJtG/fXuzTq2KSlpaG22+/HfHx8ViwYAEAywDDYEKBTl6aXF71kkLL3XffrTmbxDyYBPOJFvBcMFGqUayYhIhrr70WL7/8sritV8UEAF577TWcOnUKEyZM0Hxcx44dNWf0MJhQoJBnkVm72jYFp3PPPRdA0wn4qquuUgWTL7/8Evv27bMIJu7MggwE7MpxHIOJGTkM6FUxUcjjWhzpyomJiWEwoYAhl++zsrJ82BLytjlz5uCRRx7BL7/8gpiYGNWJeOHChcjLy8Off/6pek4oBRM5qDmLXTkhSA4DelZMzGkNfo2IsFz/jsGEAsVVV12Fbt26ISoqSnRZUmho3749nn76aXGROfMTcWlpKZYuXaraFyrBxGAwuHxxWCA0KiY+WfnVn3kimDhaMbH2vkDTNOCYmBgkJyfj1KlTuOmmmwBYrqjJYEL+Kjo6Gps2bcLp06e5OnGIc6RC4OrnbW1tLT766CO0bdsWgwcPduk1vEEJJjExMW4t8RAKY0wYTMzIAcHVJek9UTEBgNjYWHz//fdYt24dbrjhBgCsmFBgCQ8PZyghXYPJG2+8gXvvvRcAcNttt+HVV1/VrDb7mhxM3KEcy4aGBjQ2NgblwoXB9xO5yVcVk5SUFIwfPx6RkZF49913xf68vDzcdddd4sPdPJikpaW51EYiIm9xJJi4+kVw06ZNYnv27NlYtGiRS6+jN08HEyB4x5n4X6z0MV+NMQGAjz76CNXV1TaXmGfFhIgCjR4Vk8cffxyff/45Dh06pNq/Y8cOp17HW5SuF08Gk9raWrdfzx8xmJiJiopCeHg4jEajVysmCnvXvWHFhIgCjXkwGTJkCAYOHIjp06eLfc583u7YsQP//e9/Ne8zDyr+wlMVk1C4Xg67cszIV0H1dsXEEebBxJ3R3URE3mB+Mk5LS8Pzzz+vmq3lyOdtY2MjAGDZsmVWH+Ovi/np0ZXDYBJClGBy+vRpTJkyBZdffjlOnjzp8PPdqZjYw2uOEFGgMa+YNGvWDIBzXefvvPMOYmNjceONN+LLL7+0+jh/rJg0NjaK8SAcY2Ifu3I0KP9Yjhw5gtmzZwNour7Ngw8+6NDz5YqJp4NJMPYnElFwMw8mysVHnQkmTz/9NOrq6jB//nybj/PHiolc2WBXjn2smGjQChN//fWXw8+Xl9/2dIWDF0MjokDjTMVk/fr1uP/++1FYWKh6zt69ex16r9OnT6O8vNyd5nqcp5ajB9iVE7K01l3YunWrw8+X/1F4eozJ2WefLf5RP//88x59bSIiPTgTTMaPH48XX3wRY8aMUT0nOzvb4ffzt6qJXsEkWLtyGEw0ZGZmWuzbuXMnGhoaLPbX1NRgwYIFqus+KBWT+Ph41fVwPCEuLg6//fYblixZgnvuucejr01EpAdHgklFRQUqKyvFxf22b9+OXbt2ifvl6kBycjLatGlj9f38bZwJKybOYTDRoBVM6urqUFBQYLH/hRdewKRJkzBkyBCR0pWKiV4DVdu3b4+LL75Y1ddIROSvHB1jUlxcrHrchx9+KLarqqrEaxUUFGDkyJFW3y+YKyYcYxKitIIJAGzZssVi34wZMwA0/aN68sknAfwTTBITE3VqIRFR4DD/EqVUTMyv5m4eTD744AOYTCY0NjaKYNKrVy+kpaUhNTVV9dhWrVqJbX+umLhzZWHz5zOYhBBrwURrnIn82I8//hhGo1F05XBqLxERLC5aZ22MSUlJiepxu3btwueff47q6mqxT3mOeTDp1q2b2A7mignHmISorKwszf1awUT+x3HixAl88803MJlMABhMiIi0KMEkKipKXHBPq2ICAP/5z39UEwqsBZPOnTuL7aKiIo+32R2enC7MikmIcqZiYj4t7ddffxXb7MohIrIkX3pDXmlbK5hs374dK1eutHi8eTBp27at2D516pRH2+sujjFxDoOJBmvBZNeuXRalM3nNEkBdQmTFhIjINjmYyF05F198sdg+cOCA2I6LiwPwT9VFkZGRIU7aZWVlurXXFezKcQ6DiYbk5GTN/Q0NDdi9e7dqn3nFRB50xWBCRNRk2bJlOO+88yyWk7dWMcnNzRXbpaWlFo83r5ikpKSINaicuYSIN3C6sHO4JL0G84FaUVFRIplu3bpVDLIymUwWwUSumLArh4ioyejRozF69GiL/UrQqKiocCuYJCcnIyUlBSUlJUEdTNiVQwCAvn37im15nEllZaUY6KpgxYSIyHFK0GhoaBCfnwkJCaquGmeCCdBUyVauROwPWDFxDoOJA7p06SK25WCidT0GedAVgwkRkW3yWiZ79uwBALRs2VJ1ApeDiTLGxLwinZycLMKKVjXblzjGxDkMJlacccYZYjs/P1/8MdgLJjJ25RAR2ZaWlmaxLz093WowUSomYWHq05dcMQH8awAsKybOYTCxYtGiRWjRogUGDhyIa665RgSVgoICcc0ce8GEFRMiItu6du1qsa9ly5aqKcVawcRcbGysKpj40zgTjjFxDoOJFb1790ZRURHWrVuHyMhItG/fHkBTP6j5NXGsYTAhIrKte/fuFvscqZgAwF133QUAGDt2LAwGgyqYTJkyBZ9//rkOLXYeu3Kcw2BiQ3h4uJih065dO7Ff6QdlVw4RkXvkpeQV3bt3t3oCV8aYAMDLL7+Mv//+G59++ikA9YDYX3/9FZdeeqm4WrEvsSvHOQwmDnIlmLBiQkRkW9u2bVXdNgBw3nnnWT2ByxUTg8GAHj16iGXt5YqJ4vvvv/dcY13EJemdw2DiIK1gYr7qqzkGEyIi28LCwkRXOQA0b94cZ5xxhkVYUVgbYwJoB5PCwkLVdmVlpeuNdRHHmDiHwcRBcjDZu3cvAHblEBF5grzMQk5ODgwGg0MVE3NawWTDhg0AgPfffx+dOnVC//79UVVV5V6DnSQHE7ni4QqOMSEhNzdXjDfR6soxn/JmMBhs/gMiIqImd9xxh9ieOnUqAOuVBXmMiTnzRdeApmBiMpkwb948AE0XBXzhhRfcaa7TOMbEOQwmDoqOjkZ2djYA7WCSk5OjenxiYqLF0vZERGRpypQpuPrqqzF16lTcdNNNAKyfwJ2tmBw7dgxHjhzB/v37xb6XX34ZZWVlqosG6kkZgGswGNzu4mdXDqko3TnHjh3D6dOnVcFECS0Kji8hInJMYmIiPvjgA7z++usIDw8HAI+NMQGAdevWqb4onjx5Es2aNUN6ejqeeOIJ1xvugJqaGvz9998AmlYRt1XxcQS7ckhFHmdSUFBgs2KSlZXltXYREQWbiIgIi9Vdw8PDVRUDc9aCyU8//WRxXTPFtGnTXG2iQzZt2oT6+noAwIABA9x+vfDwcBHeWDEh1UJAf/75p81g0qNHD6+1i4go2GgNgI2Li7PZRW4ttPz+++8ebZszfvvtN7HtiWAC/FM1YTAh5OXlie0NGzaIYBIZGYkWLVqoHstgQkTkHvNg4uqEAnvBxFo1xRP0CCZKANu8eTMOHDjgkdf0JwwmTujTp49I62+++Sa2bNkCoGk8ifmYkp49e3q9fUREwcR8nIkjweSWW24BYP0zODIy0mKfPGvG05RgEhUV5bEvrPI4k7PPPtvr05/1xmDihKSkJNVVh5WL+Y0dO9YimLBiQkTkHlcqJrNnz8a2bdvw1Vdfad4/btw4i316XYm4pKQEu3btAgD07dvX5vgYZ7Rq1UpsHz58WHXV+2DAYOKkPn36qG5PmTIFb731lsVialqX8iYiIsdpjTGxx2AwoEuXLmjevLnFfcnJyTjzzDMt9usVTNauXSu2Bw8e7LHXXbBggeq2suhnsGAwcZI8ziQsLAyvvPIKIiIiuGYJEZGHmQcTa7NutMTGxlpUKHJzczWr2XoFkzVr1ohtTwaTbt26YdGiReI2g0mIu+aaa5CWloZmzZph3bp1or8yLy9PDIB9/fXXfdlEIqKgYD7GpFmzZg4/12AwWKwEm5GRgREjRuDaa69V7T958qTLbbRFDibnnHOOR1+7bdu2YjvYgkmErxsQaDIyMnDkyBHU1NSoum9iY2OxefNmFBQU4KyzzvJhC4mIgoN5xcSZYAI0LVFfXFwsbmdkZMBgMOB///sfBg4ciDvvvBOAPhWT06dPY+PGjQCalppwtu32MJiQSmRkpObI7vT0dKSnp/ugRUREwcc8mGiNG7HFvOsnMzNTbMvVFD2CybZt29DY2AgAunxZTUtLQ1xcHKqqqrBv3z6Pv74vsSuHiIj8kicqJrKMjAyxLYcWPYKJvL5I+/btPf76BoNBVE327dsnQlAwYDAhIiK/5M4YE8B2MJHv02OMiRxMWrdu7fHXB/7pzqmrq0NRUZEu7+ELDCZEROSX3O3KcTSY6F0x0TuYAME1zoTBhIiI/JKnu3L0HmPy+++/Y8qUKdiwYYPXg0kwjTPh4FciIvJL3hpj4omunIqKCowcORJlZWX45ZdfxBWAw8PDVYHIk+QVYA8dOqTLe/gCgwkREfklT48xkZd4iImJQUxMDGpqajxSMXnllVfE62zatElcpiQ7OxsREfqcarOzs8X24cOHdXkPX2BXDhER+SV3Vn4FLIOJtfvdDSbV1dWYMWOGap9y9Xm9unEABhMiIiKvMg8mSveIo8wrLuaUoONuMNm9e7fV7iA9g0lmZqa4HAqDCRERkc7Mg4mztBbClCkVk8rKStTX17v8PiUlJVbv0zOYREZGomXLlgAYTIiIiHQXHR3t1vOHDBmCDh06AABeeukli/vlwbDuTLf1VTAB/unOOXr0KIxGo67v5S0MJkRE5Jdqamrcen5ERAQ2b96MPXv24OKLL7a4v3fv3mJ7w4YNLr+PrWDSt29fl1/XEUowMRqNqusCBTIGEyIi8ktVVVVuv0ZMTAxyc3M17+vXr5/Y1iOYnHHGGRgwYIDLr+uIYBwAy2BCRER+qbq6WtfX1zuYXHXVVWJwql5ycnLENoMJERGRjq688kqx/cILL3j89dPT00XF4c8//3T5QnhyMLnmmmsANM0IuuWWW9xvpB1yxSRYFlnjAmtEROSXOnXqhOXLl+PAgQOYNGmSLu/Rr18/HD58GOXl5SgoKECnTp2cfg1lbIfBYMCsWbPQt29fDBgwAFlZWZ5uroVg7MphMCEiIr81atQoXV+/X79+WLp0KYCm7hxXgolSMWnevDmaN2+O++67z6NttEVe7p6DX4mIiAJcXl6e2HZ1nIkSTNLT0z3SJmfIq+GeOnXK6++vBwYTIiIKWe4OgK2srBSzh5TFzrxJuSYP8M8y+IGOwYSIiEKWuwNg5YGvvggmCQkJYuYPg4mL8vLyMGjQIAwePBiDBw/GvHnzvN0EIiIiQamalJeXo7Cw0Knn+jqYhIWFiasmB0tXjk8Gv3766ac+6YsjIiIyJw+A/fXXX9GxY0eHn+vrYAI0deeUl5cHTcXEr2fl1NXVoa6uTrUvIiICUVFRHn8vpXzn6jz2UMBj5BweL8fxWDmPx8xx9o6VvGz81KlT0aJFC5x33nkOvfYvv/wittPT033y+0hOTsahQ4dQXl7ukffX628rLMyxThqDyWQyefSd7cjLy0NaWhoMBgPOPPNM3HPPPapRxbI5c+Zg7ty5qn1XXHEFxo8f74WWEhFRKGhoaMAVV1yBTZs2AWgat7FkyRK0a9fO5vPq6upwzjnnoLS0FBEREVi7dq1PqiaXX345/vzzTwDArl27EBHhnzWHtm3bOvQ4rweTjRs3okePHjh9+jSef/551NbWal71EfB+xeTgwYNo1aqVw6ku1PAYOYfHy3E8Vs7jMXOcI8eqsrISV199NZYtWwagqYry22+/2VxSftGiRbj22msBNIWDjz76yPONd8CoUaOwYsUKAMDx48eRmprq1uvp9bfl6Gt5NFbddNNNInGau/HGGzF16lT06dMHAJCamor7778fo0ePRm1treblraOionQJIbaEhYXxH7kdPEbO4fFyHI+V83jMHGfrWCUmJmLRokXo168fdu3ahT///BPHjh1DRkaG1df77rvvxPZtt93ms9+D3OtQUVGB5s2be+R1ffW35dFg8s477zj1eOUH9nLRhoiIyEJCQgJGjRqFXbt2AQC2bdtmM5jIK6326tVL9/ZZI69lEgwzc7wahQoLC7Fr1y4YjUaUl5fjxRdfxJlnnomYmBhvNoOIiEhTt27dxPbWrVttPvbYsWMAmr5kN2vWTNd22RJsi6x5dYTMiRMn8Oyzz6KkpATx8fEYMGAAnnjiCW82gYiIyKquXbuK7W3bttl8rDJVOC0tzafdacnJyWKbwcRJ/fv3x2effebNtyQiInKYHEwcrZi0aNFC1zbZw64cIiKiIJWamiqu2Lt161arYyArKytRXV0NwL+CSTBUTBhMiIiIJMo4kxMnTqhWdpX5w4qvimDrymEwISIiknTp0kVsKzN0zCndOAArJp7GYEJERCSRpwiXlpZqPsZfgwnHmBAREQUZeeXUkydPaj6GXTn6YTAhIiKSyCuplpWVaT7GXysmDCZERERBxpGKib8GE3blEBERBRm5YhIIXTnx8fFigTdWTIiIiIKMXDEJhK4cg8EgwtThw4cD/vpzDCZEREQSRyom/nKdHEWfPn0AAEVFRdi7d6+PW+MeBhMiIiKJvcGvRqMRu3fvBtA0tdiX18lR5Ofni+2ffvrJhy1xn++PJhERkR+Jjo5GbGwsAO2KycaNG8Ug07PPPtubTbNKDiarV6/2YUvcx2BCRERkRqmayMGkoaEBDz/8MPr37y/2DRs2zMst0zZgwABER0cDYDAhIiIKOsoAWLkrZ86cOXjuuedUj/OXYBITE4MBAwYAAPbu3Wt1xdpAwGBCRERkRqmYVFZWor6+HvX19Zg+fbrF4zp37uzlllmXk5Mjtq0N2g0EEb5uABERkb8xX2Ttm2++wYEDB1SPuemmm2AwGLzdNKsSExPF9unTp33YEvcwmBAREZkxnzL8448/ittPPPEEDAYDpk6d6oOWWScHk0BeaI3BhIiIyIx5MNm/f7+4fdddd6nu9xfy0vSBXDHhGBMiIiIz5qu/KsEkOTnZL0MJEDxdOQwmREREZuTwceLECTG+JDc310ctso/BhIiIKEjJFZPt27ejvr4egH8HE7krJ5DHmDCYEBERmZErJhs3bhTbbdq08X5jHMSKCRERUZDKyMgQ2z///LPY9ueKCYMJERFRkGrXrp3YPnHihNgOlGBSXl6O+vp6bNmyBY2NjT5slfMYTIiIiMykp6eLC/nJ/DmYmE8XHjNmDHr06IH777/fh61yHoMJERGRGYPBgLZt21rs9+dgIldMjh07hm+//RYA8NJLL9l97vz589G1a1e8/vrrurXPUQwmREREGuTuHACIj49HixYtfNQa++Rgsm3bNtV9JSUlVp/30Ucf4cYbb8T27dvx4IMP+rzrh8GEiIhIg3kwOfvss/3q2jjmoqOjERUVBQA4evSo6r5NmzZpPqe+vh533HGHuF1ZWYnDhw/r10gHMJgQERFpMA8mQ4cO9U1DnCBXTWR//fWX5v7jx4/j+PHjqn0FBQWebpZTGEyIiIg0BFMwsVYxqaqqstjHYEJEROSHzAe/5uXl+agljnO2YlJZWWmxr7Cw0JNNchqDCRERkYZ27dohMjISQFMoUcZv+DN5yrBsx44dqKurs9ivFUx2797t8XY5g8GEiIhIQ1xcHBYtWoSJEyfigw8+8HVzHGKtYmI0GnHy5EmL/f5YMYnw6bsTERH5sUsvvRSXXnqpr5vhMGvBBABOnTqFli1bqvZpBZOCggKYTCaPt81RrJgQEREFCWtdOUBTMDGnFUyqq6ttrnuiNwYTIiKiIGGvYmJODibx8fFie//+/Z5tmBPYlUNERBQkYmJiVLe7deuGrVu3ArAfTEaOHImoqCh06NDBpyvcMpgQEREFidatW4vtvLw83HjjjZg6dSoA+8FkwoQJGDt2LBobG31aMWFXDhERUZC49tprMW7cOEyYMAHff/89UlJSxH3OdOX4EismREREQSIpKQmfffaZuJ2cnCy2AyWYsGJCREQUpOSKidY6JvKS9AwmREREpCtWTIiIiMhvMJgQERGR32AwISIiIr+RkJCAsLCmU729YBIXF+e1dtnCYEJERBSkDAaDWKbeVjCJjY0VAcbX/KMVREREpAulO8dWMPGXbhyAwYSIiCioMZgQERGR31CCSW1tLQYOHIiDBw+K+5Rg4i/jSwAGEyIioqAmz8z59ddfMWvWLACAyWRixYSIiIi8Sw4mAPD666+jtrYW1dXVMJlMAPwrmPBaOUREREHs9OnTqtvV1dWIiYnBeeedJ/b5UzBhxYSIiCiIWRs/8t1334ltBhMiIiLyittvvx2RkZE2H8NgQkRERF4xaNAgHDhwAK+++qrVxzCYEBERkddkZGTgnHPOsXp/RIT/DDllMCEiIgoBXbt2FcvTDxkyBAkJCeK+xsZGXzXLAoMJERFRCIiOjsbixYtx66234u2338bPP/8sBsZecsklvm2cxH9qN0RERKSrkSNHYuTIkeL21q1bUVVVha5du/qwVWoMJkRERCGqTZs2vm6CBXblEBERkd9gMCEiIiK/wWBCREREfoPBhIiIiPwGgwkRERH5DQYTIiIi8hsMJkREROQ3GEyIiIjIbzCYEBERkd/weDB55plncMkllyAvLw9//PGH6r7Gxka8+OKLGDp0KM4//3wsXLjQ029PREREAczjwaRTp074z3/+g+zsbIv7Pv30U2zYsAGfffYZ3n77bfzvf//Db7/95ukmEBERUYDy+LVyLr/88qYXjrB86eXLl+O6665Ds2bN0KxZM1xyySVYtmwZBgwY4OlmEBERUQDy6kX89uzZg44dO4rbHTp0wNq1a60+vq6uDnV1dap9ERERiIqK8njbGhsbVf8nSzxGzuHxchyPlfN4zBzHY+UcvY5XWJhjnTReDSbV1dWIj48Xt+Pj41FVVWX18fPnz8fcuXNV+6644gqMHz9etzYePHhQt9cOFjxGzuHxchyPlfN4zBzHY+UcTx+vtm3bOvQ4p4LJTTfdhE2bNmned+ONN2Lq1Kk2nx8bG4vKykpxu7KyEnFxcVYfP2nSJFx77bWqfVFRUbpUTIiIiMj3nAom77zzjltv1q5dOxQUFIjunMLCQrRr187q4xlCiIiIQovHZ+XU19ejtrYWJpMJDQ0NYhsARo0ahffffx9lZWU4ePAglixZggsvvNDTTSAiIqIAZTApqcFDbrnlFvz555+qfUuXLkVWVhYaGxvx0ksv4csvv0RkZCQmTJiA6667zpNvT0RERAHM48GEiIiIyFVckp6IiIj8BoMJERER+Q0GEyIiIvIbDCZERETkNxhMiIiIyG8wmBCR3zly5AjOPPNMXzeDiHwgKINJXV0dnnjiCVx44YXIz8/HxIkT8ffff4v7FyxYgBEjRmD48OF45ZVXxAJw+/btw7/+9S+MGDEC5557Lv7v//4Px44dE8976aWXcPHFF2PIkCG46qqrsGbNGq//bHoZM2YMBg0ahOrqarGvpqYGQ4YMwZgxY3zYMv/DY+WeMWPG4K+//vJ1M/zen3/+iYkTJyI/Px/nnnsubrvtNhw+fNjXzfI7Y8aMwUUXXYSGhgax75lnnsGcOXN82Cr/odf5cM6cOeI1x40bhy+++MJjbQ7KYGI0GpGVlYV33nkHP/74I66++mr861//QlVVFdauXYuPP/4YCxYswOLFi7Fu3TpxQCsqKjBs2DB89tln+Prrr9GyZUtMmzZNvG5cXBxmzZqFVatW4f7778ejjz4aVB8ULVu2xKpVq8TtVatWIS0tzenXkT8ggpWnjhWRloqKCtx333244YYb8OOPP+LLL7/ElVdeifDwcF83zS9VVVVh6dKlvm6GX9LrfDhq1Ch88sknWL16NV5++WW88cYbKCgo8EibgzKYxMbGYvLkycjIyEBYWBhGjhyJyMhI7N+/H8uXL8e4ceOQk5ODtLQ0XHfddVi+fDkAoHv37hg7diySkpIQFRWF8ePHY/PmzeJ1b731VuTm5iIsLAx5eXlo164dduzY4asf0+NGjhyJr7/+Wtz++uuvccEFF4jb8+bNw0UXXYT8/HxMmjQJu3fvFveNGTMG7777Li6//HKMGzfOq+32BVeP1TfffINbbrlF9VqPP/445s2b552G+5Fp06bh7bffFre//PJLuxcCDRX79+9HVFQUhg8fjrCwMMTFxWHYsGHIyMiA0WjEnDlzcNFFF+H888/HSy+9JL4MzJkzB4888gjuu+8+DBkyBJMnT8aRI0d8/NPo75prrsH8+fM1vxR9/PHHuPjiizFixAg8+uijqKioAABMnToVX331lXicUvU8evSo19rtDXqdD1u3bo3Y2FgAgMFgAACPfVEPymBi7sCBAygvL0erVq2wd+9ecRFBAOjQoQMKCws1n7dx40arFxksLy+3exHCQJOXl4fCwkKUlZWhrKwMBQUFGDBggLi/TZs2eP/997Fy5UqceeaZePzxx1XP//HHHzFnzhx8/PHH3m6617l6rIYOHYqdO3eipKQEAFBbW4tVq1Zh5MiRPvk5yD/l5uaivr4eTz75JNavXy9OpgCwcOFCbNy4Ee+//z4+/fRT7NixA59++qm4/4cffsAll1yClStXonv37hb/ToNRXl4eMjIy8OWXX6r2r1+/Hm+//ba4FEpNTQ1mzJgBADjvvPPw3XfficeuWbMGHTp0QEZGhlfb7m2ePB8uWLAAgwYNwqWXXoqWLVt6bFxY0AeTmpoaPProo5g4cSISEhJQVVWF+Ph4cX98fLxqrIDi4MGDeP3113H77bdb3NfY2IgnnngCw4cPR9u2bXVtvzeFh4dj+PDhWLFiBVasWIHhw4erSsfDhw9HamoqIiIiRBWgqqpK3H/VVVehefPmiImJ8UXzvcrVYxUTE4P8/HysWLECALB27Vq0b98e2dnZvvpRyA8lJCTgrbfeQl1dHR5//HGcd955ePTRR1FZWYkvvvgCU6ZMQWpqKhITE3Hddddh5cqV4rk9e/bE4MGDERkZiVtvvRWbN29WjQ0IVpMnT7aomqxYsQKXXnop2rVrh9jYWNx+++347rvvYDKZMGzYMPz5558oLy8HAHz33Xc4//zzfdV8r/D0+XDixIlYs2YNFixYgOHDhyMiIsIj7fTMq/iphoYGPPTQQ2jVqhUmT54MoGmcSGVlpXhMZWWlKEcpjh07hjvuuAO33XYb+vfvb/G6zz33HCoqKvDss8/q+wP4wKhRozBjxgyYTCbcf//9aGxsFPd9/vnn+PDDD1FcXAyDwQCTyYRTp04hLi4OAJCenu6rZvuEq8dq9OjReOONN3Ddddfh22+/ZbWENHXo0AFPPvkkAGD79u146KGHMG/ePBw9ehR33XWXKJ+bTCa0bNlSPE/+dxgTE4Pk5GQcP34cLVq08O4P4GUDBgxAixYtVN0zx48fR8+ePcXtzMxM1NbW4tSpU0hJSUGfPn3w448/4rzzzsMvv/yCBx54wBdN9wq9zocGgwHdu3fH8uXL8fnnn+OKK65wu61BG0waGxvx6KOPwmAwYNq0aeIfcdu2bVFQUID8/HwAQGFhIdq3by+ed/LkSUydOhXjxo3DZZddZvG6r7zyCnbs2IE333wTUVFR3vlhvKhr1644deoUAKBbt26iT/HIkSN48cUX8dZbb6Fz586oq6vD4MGDIV8DUjnGocLVY9W/f3+UlJRgx44dWL9+PR5++GGf/Qy+FBsbi9raWnG7tLTUh63xb126dMGwYcNQWFiIli1b4tlnn0Xnzp01H1tcXCy2a2pqcOrUqZAZmD158mQ8++yz6NevHwAgLS1NdTyOHj2K6OhoJCcnAwDOP/98fPvtt4iOjkaXLl2C9jjpdT6UGY1GHDx40CPtDdqunGeeeQalpaV47rnnVOWl0aNH47PPPsOhQ4dQWlqKhQsXYvTo0QCaRiHfcccdGDRoECZOnGjxmm+//TbWrl2LWbNmqcpfweaFF17ACy+8oNpXVVWFsLAwpKamisF35NqxCg8Px/nnn4/HHnsMvXv3Rmpqqjeb7Dc6duyIn3/+GRUVFTh06BBnVUj27duHhQsXii6Y/fv346effkK3bt0wduxYvPHGGzh+/DhMJhOOHDmCDRs2iOf+/fffWLt2Lerr6zF37lx069Yt6KslioEDB6J58+ZYvXo1gKbg8fnnn2Pv3r2orq7GG2+8gREjRogT89ChQ/HXX3/h008/DepuHD3Oh59//jlOnz6NxsZG/PHHH/jmm280KyquCMqKSVFREZYsWYLo6GiMGDFC7J81axYGDRqEyy+/HBMmTEBjYyMuueQSXHzxxQCapnzu2LED+/fvxyeffCKep6xXMnv2bERGRqrWqnjkkUcwatQoL/1k3qE1oLdDhw649NJLcdVVVyE2NhY333wzIiMjfdA6/+LqsRo9ejQ++OADTJgwwVtN9TujR4/GL7/8ggsvvBBt2rTByJEjsWnTJl83yy/ExcXh77//xnvvvYfKykokJyfj3HPPxcSJE2EwGGA0GnHTTTfh5MmTyMjIUP0dDR8+HJ9//jkefvhhdOrUCf/97399+JN43+TJk3HnnXcCaAoqEydOxN13343KykoMHDgQ9913n3hsQkICBgwYgLVr1+L555/3VZN1pdf5cM2aNXjttddQX1+PjIwM3H333Rg8eLBH2mwwybV4IvKKsrIyjB07Ft9++60YoxMqzj33XLzzzjto06aNr5sSdObMmYOSkhI8+uijvm4KkcuCtiuHyF+ZTCYsWrQI5557bsiFkj/++AMmkwmZmZm+bgoR+amg7Moh8mcXXHAB4uPj8dprr/m6KV719NNPY/369XjkkUcQHR3t6+YQkZ9iVw4RERH5DXblEBERkd9gMCEiIiK/wWBCREREfoPBhIiIiPwGgwkRERH5DQYTItLVH3/8gby8POTl5eHIkSO+bg4R+TkGEyLymGnTpiEvLw+33HKL2JeQkIDu3buje/fuQXnhSyLyLC6wRkS66ty5MxYsWODrZhBRgOACa0TkEWPGjEFRUZHF/tmzZ+O2224DACxduhRZWVmYNm0avvrqK2RmZuLWW2/Fm2++iYqKCowdOxa33347Xn/9dSxduhQJCQmYNGkSLr/8cvF6x44dwxtvvIFffvkFJ0+eRHp6OsaMGYOJEyeqrpxKRIGJ/4qJyCPOOOMMVFdX4+TJk4iPj0fbtm0BADt27LD6nOPHj+O5555DWloaKisr8eGHH2L9+vUoKSlBQkICiouLMX36dPTr1w9t27bFyZMnMXHiRBQXF4v32LNnD2bPno3Dhw/j8ccf99aPS0Q64RgTIvKIGTNmYNCgQQCaQsqCBQuwYMECdO7c2epz6uvr8dprr+Gzzz5Deno6AODgwYP48MMP8fHHHyM6OhqNjY3YsGEDAGDx4sUoLi5G8+bNsWTJEnz44YficvVfffUVDh48qPNPSUR6Y8WEiHwmKSkJvXv3BgBkZGSguLgY7du3R1ZWFgAgNTUVR48exYkTJwAAW7duBQCUlpbivPPOU72WyWTCli1b0KpVK+/9AETkcQwmROQz8fHxYjs8PNxin8FgANAUOsyfp3QVyWJiYvRoJhF5EYMJEXmMEgxqamp0ef2uXbvi559/Rnh4OJ555hlRWamsrMSPP/6IYcOG6fK+ROQ9DCZE5DFt2rQBAGzbtg1XXnklYmNjMXnyZI+9/vjx4/HFF1+gpKQEl112Gdq2bYvKykoUFxejoaEBF110kcfei4h8g4Nfichjxo4di+HDhyMhIQGFhYXYsmULGhsbPfb6qampmD9/PsaMGYPk5GQUFhaitrYWffr0wb333uux9yEi3+E6JkREROQ3WDEhIiIiv8FgQkRERH6DwYSIiIj8BoMJERER+Q0GEyIiIvIbDCZERETkNxhMiIiIyG8wmBAREZHfYDAhIiIiv8FgQkRERH6DwYSIiIj8xv8D3GWS64kpDU8AAAAASUVORK5CYII=", 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