{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Autoregressive Moving Average (ARMA): Sunspots data" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:12.186146Z", "iopub.status.busy": "2023-12-14T14:44:12.185840Z", "iopub.status.idle": "2023-12-14T14:44:13.174190Z", "shell.execute_reply": "2023-12-14T14:44:13.173438Z" } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:13.179292Z", "iopub.status.busy": "2023-12-14T14:44:13.178042Z", "iopub.status.idle": "2023-12-14T14:44:14.667261Z", "shell.execute_reply": "2023-12-14T14:44:14.666366Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import statsmodels.api as sm\n", "from scipy import stats\n", "from statsmodels.tsa.arima.model import ARIMA" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:14.672757Z", "iopub.status.busy": "2023-12-14T14:44:14.671325Z", "iopub.status.idle": "2023-12-14T14:44:14.677129Z", "shell.execute_reply": "2023-12-14T14:44:14.676353Z" } }, "outputs": [], "source": [ "from statsmodels.graphics.api import qqplot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sunspots Data" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:14.683995Z", "iopub.status.busy": "2023-12-14T14:44:14.681807Z", "iopub.status.idle": "2023-12-14T14:44:14.692261Z", "shell.execute_reply": "2023-12-14T14:44:14.691421Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "::\n", "\n", " Number of Observations - 309 (Annual 1700 - 2008)\n", " Number of Variables - 1\n", " Variable name definitions::\n", "\n", " SUNACTIVITY - Number of sunspots for each year\n", "\n", " The data file contains a 'YEAR' variable that is not returned by load.\n", "\n" ] } ], "source": [ "print(sm.datasets.sunspots.NOTE)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:14.699317Z", "iopub.status.busy": "2023-12-14T14:44:14.697155Z", "iopub.status.idle": "2023-12-14T14:44:14.712466Z", "shell.execute_reply": "2023-12-14T14:44:14.711624Z" } }, "outputs": [], "source": [ "dta = sm.datasets.sunspots.load_pandas().data" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:14.719473Z", "iopub.status.busy": "2023-12-14T14:44:14.717468Z", "iopub.status.idle": "2023-12-14T14:44:14.743314Z", "shell.execute_reply": "2023-12-14T14:44:14.742376Z" } }, "outputs": [], "source": [ "dta.index = pd.Index(sm.tsa.datetools.dates_from_range(\"1700\", \"2008\"))\n", "dta.index.freq = dta.index.inferred_freq\n", "del dta[\"YEAR\"]" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:14.750148Z", "iopub.status.busy": "2023-12-14T14:44:14.748182Z", "iopub.status.idle": "2023-12-14T14:44:15.153663Z", "shell.execute_reply": "2023-12-14T14:44:15.152658Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Sr+ZmIBrJDRbahBBCCCGEkKlFjPeq9RXtUqmk9Gmz0Cb5YFxoX3/99Xje856HgwcPolQq4brrrhv4fKlUSvzzhje8QX7Neeedt+Pzr3/9651/GUIIIYQQQkixaPXHe4nUcSDu096gok1ywrjQXl9fx+Mf/3i85S1vSfz84cOHB/68/e1vR6lUwmWXXTbwdVdfffXA173yla+0+w0IIYQQQgghhaUtFe24tJkTs7SpaJOcqJp+w6WXXopLL7105OcPHDgw8P9//Md/xNOf/nQ89KEPHfj48vLyjq8lhBBCCCGEEBOGreNAHIjGHm2SF0F7tI8ePYp/+qd/whVXXLHjc69//euxb98+PPGJT8Qb3vAGtNujB8pvb29jbW1t4A8hhBBCCCGECOu4qmizR5vkjbGibcI73/lOLC8v46d+6qcGPv6rv/qreNKTnoS9e/fihhtuwFVXXYXDhw/jT/7kTxJ/zjXXXIPXve51IR8qIYQQQgghZAoRinY1SdFmoU1yImih/fa3vx0vetGLMDc3N/DxK6+8Uv77wgsvRL1exy/8wi/gmmuuQaPR2PFzrrrqqoHvWVtbwznnnBPugRNCCCGEEEKmguHxXgDD0Ej+BCu0P/WpT+Fb3/oW/v7v/z71ay+66CK0223ccccdeOQjH7nj841GI7EAJ4QQQgghhBSbVntnGNo8w9BIzgTr0X7b296GJz/5yXj84x+f+rW33HILyuUyzjrrrFAPhxBCCCGEEDKDtLp963h5p3V8i4o2yQljRfv06dO49dZb5f9vv/123HLLLdi7dy/OPfdcAD1r93vf+1788R//8Y7vv/HGG3HTTTfh6U9/OpaXl3HjjTfiVa96FV784hdjz549Dr8KIYQQQgghpGi0+2Fo9SrHe5HJwbjQ/sIXvoCnP/3p8v+id/ryyy/HO97xDgDAe97zHkRRhBe84AU7vr/RaOA973kPXvva12J7exvnn38+XvWqVw30YBNCCCGEEEJIGlEUyR7tAUWbhTbJGeNC++KLL0YURWO/5hWveAVe8YpXJH7uSU96Ej772c+aHpYQQgghhBBCBhCjvQCgpijaC5yjTXIm6BxtQgghhBBCCAmFGO0FALWyEobGQpvkDAttQgghhBBCyFTSVhRtdY42e7RJ3rDQJoQQQgghhEwlInEcYI82mSxYaBNCCCGEEEKmEmEdr1VKKJXU8V69MmeLhTbJCRbahBBCCCGEkKlEWMdrlcGyRira7NEmOcFCmxBCCCGEEDKVNPuKtmobB4D5em+4Eq3jJC9YaBNCCCGEEEKmEiraZFJhoU0IIYQQQgiZSuIe7RGFNhVtkhMstAkhhBBCCCFTiSi01dFeQByGxkKb5AULbUIIIYQQQshU0u72rOP1IUV7jtZxkjMstAkhhBBCCCFTSaudrGgv9MPQtttddPvFOCFZwkKbEEIIIYQQMpW0+kV0tZzcow3QPk7ygYU2IYQQQgghZCoRinatOljWNJT/s9AmecBCmxBCCCGEEDKVtLv9Qntojna5XMJcrR+Ixj5tkgMstAkhhBBCCCFTSWvEHG0gto9vUdEmOcBCmxBCCCGEEDKVjBrvBXCWNskXFtqEEEIIIYSQqaTdSR7vBQDzdY74IvnBQpsQQgghhBAylTTHKdr9QnuDijbJARbahBBCCCGEkKmkLQvtMT3aVLRJDrDQJoQQQgghhEwl7e5o6/gce7RJjrDQJoQQQgghhEwl0jpeZhgamSxYaBNCCCGEEEKmEhGGVqsyDI1MFiy0CSGEEEIIIVOJGO9VS1C0F+qco03yg4U2IYQQQgghZCpp9RXtpDA00aO9QUWb5AALbUIIIYQQQshUIhXtManj7NEmecBCmxBCCCGEEDKVtGWhPToMjdZxkgcstAkhhBBCCCFTSas/3itR0WYYGskRFtqEEEIIIYSQqaTV7o/3SlC0OUeb5AkLbUIIIYQQQshU0haKdnlnWSNSxzdb3UwfEyEAC21CCCGEEELIlNLU6NHebLYzfUyEACy0CSGEEEIIIVOKCENLHO9Vp3Wc5AcLbUIIIYQQQshU0u7P0a6PG+/FMDSSAyy0CSGEEEIIIVNJszM6DC0e78UebZI9LLQJIYQQQgghU4lQtJPGey3QOk5yhIU2IYQQQgghZCppjQlDE+O9NhiGRnKAhTYhhBBCCCFkKmn1x3tVE8Z7zddj63i3/3WEZAULbUIIIYQQQshUIlLHa9XRYWgAsN1mnzbJFhbahBBCCCGEkKlEWsfLo63jAPu0Sfaw0CaEEEIIIYRMJTIMLUHRrpRLqPc/zkKbZA0LbUIIIYQQQshUIsd7JSjagJI8zlnaJGNYaBNCCCGEEEKmknHjvQCg0Ve0t6hok4xhoU0IIYQQQgiZSuLxXslljfi4+DpCsoKFNiGEEEIIIWQqEQV0NWGONhAX2m2O9yIZw0KbEEIIIYQQMpWIAro+UtHuFeAtjvcKyqmtFn753V/Eh792JO+HMjFU834AhBBCCCGEEGKDrqLdoqIdlBtvO4Z/+sph3HtiE89+7IG8H85EQEWbEEIIIYQQMnVEUYRWPwytWk4ua6qi0KaiHZTt/vld3Wjm/EgmBxbahBBCCCGEkKlD7bseZR2vC+s4w9CC0uk/Fyc3Wzk/ksmBhTYhhBBCCCFk6hCjvQBax/NGbGSc3Gyhy3MNgIU2IYQQQgghZAppdWOVetR4L1rHs0Eo2t0ION1s5/xoJgMW2oQQQgghhJCpQy2eayMUbWEdb3eLUWh3uxFuuXsVzYw3FlTHwMkN2scBFtqEEEIIIYSQKUT0aFfLJZRKyYW2CElrdophZ3735+7CT7zlM7jsL2/A3cc3MjtuR+mBZ592DxbahBBCCCGEkKlDqLaj+rMBoFYtlnX80OomAOCr957E8/780/jkt+/P5LhqMN0qFW0ALLQJIQHpdCPccNsDOL3NXh1CCCGE+EUUd7URo72A2FJeFOu46JUul3oF70uv/Rw++s2jwY/bUhwDVLR7sNAmhATjX752GC/865vwR//6rbwfCiGEEEJmjHbfrixU6yREEd4qiHVcbD78l/90Pi55zH5EEfDPXz0S/LgdZSNjdZOztAEW2oSQgBw5uQUAuLdvYyKEEEII8UWzX2hXy+Os473PZR0OlhdC0V6oV3DxI88CAJzMoPClor0TFtqEkGCIi/1Wq5PzIyGEEELIrCHmaI8a7QXEYWhFsY6L37NSLmHPQg0AcCKDnukOU8d3wEKbEBIMYV/abhXj5kYIIYSQ7GgJ6/iYMLR6tVjW8Y6SxL5rvg4AWN3IQNHuMnV8GBbahJBgiJ3mrTYVbUIIIYT4RRTP1TGKtijCW51ibPq3lXOyZ7GnaGeRAt7pMHV8GBbahJBgiGCMzSYLbUIIIYT4JVa0063jRSm0VUV7t1C0N1uIorCKvjrei4p2DxbahJBgiIsuFW1CCCGE+Eb0I2tZx9vFsI63+muvSrmE3f0e7U43wqnAo1bVjYxVFtoAWGgTQgIiC232aBNCCCGFYLvdQbebTVHb0ghDk9bxgoShCTdhtVzCXK2CuVrv3IQOKFPD0NZYaANgoU0ICYjs0WbqOCGEEDLzbLU6+KE//Dhe+DefzeR4LY3xXtWizdHuCEW793vvWejZx08EDkRrDfRoc442AFTzfgCEkNlF7KoydZwQQgiZfQ6f3MLRtW3cf2ob3W6E8pgC2Ac6471q0jpejLWI2qMNALvmazh8cit4QFlHcQysNztodbpjn5ciYPzbX3/99Xje856HgwcPolQq4brrrhv4/Etf+lKUSqWBP89+9rMHvub48eN40YtehJWVFezevRtXXHEFTp8+7fSLEEImD2Edb3a6A5YiQgghhMwe7b7C3I2A082wPcFAb30BjO/RrvULzuLM0Y57tIEMFe2hdR4D0SwK7fX1dTz+8Y/HW97ylpFf8+xnPxuHDx+Wf/7P//k/A59/0YtehK9//ev493//d3zoQx/C9ddfj1e84hXmj54QMtG0FRsR7eOEEELIbDOQPJ3BiKe21niv3ueaBbGOS0W7v/kgAtFCF76dofPLEV8W1vFLL70Ul1566divaTQaOHDgQOLnvvnNb+LDH/4wPv/5z+N7v/d7AQBvfvOb8ZznPAd/9Ed/hIMHD5o+JELIhKLecLdaHSw22K1CCCGEzCrqBvvJzRbOCX28vkpd17COtwsy3kucE6Fo7xaK9nrYwnfYMUBFO1AY2ic+8QmcddZZeOQjH4lf/MVfxLFjx+TnbrzxRuzevVsW2QDwzGc+E+VyGTfddFPiz9ve3sba2trAH0LI5KP262wVpDeKEEIIKSpqsZVFodXsry2qGtbxIs7RBmJFe3UzuzA0ADgZ+HjTgPdC+9nPfjb+9m//Fh/96EfxB3/wB/jkJz+JSy+9FJ1OzzZ65MgRnHXWWQPfU61WsXfvXhw5ciTxZ15zzTXYtWuX/HPOOaH3xwghPlAV7c0mreOEEELILDNgHc+g0BbHGz/eq1jW8bYstEXqeL/QznC8F0BFGwiQOv785z9f/vtxj3scLrzwQjzsYQ/DJz7xCTzjGc+w+plXXXUVrrzySvn/tbU1FtuETAHs0SaEEEKKw7B1PDQiSXxsGFrRrONivJfo0Z7vWcdDj9wSjoFyqReGxx7tDOZoP/ShD8UZZ5yBW2+9FQBw4MAB3HfffQNf0263cfz48ZF93Y1GAysrKwN/CCGTj7qzvd1moU0IIYTMMp2MFe3WkHqbRNGs4+0R1vETGSnaexd7hT0V7QwK7XvuuQfHjh3D2WefDQB46lOfitXVVdx8883yaz72sY+h2+3ioosuCv1wCCEZMtCjzVnahBBCyEzTyrhHuyXHe2nM0S6IdbwzIgwt9PMhNj32LTYAUNEGLKzjp0+fluo0ANx+++245ZZbsHfvXuzduxeve93rcNlll+HAgQO47bbb8OpXvxoPf/jDcckllwAAHvWoR+HZz342Xv7yl+Otb30rWq0WfuVXfgXPf/7zmThOyIwxnDpOCCGEkNmlk7F1vK0xR7taWEV7sEc79BxtUeDvW6oDR4E1KtrmivYXvvAFPPGJT8QTn/hEAMCVV16JJz7xifjt3/5tVCoVfOUrX8GP/diP4RGPeASuuOIKPPnJT8anPvUpNBoN+TPe9a534YILLsAznvEMPOc5z8HTnvY0/NVf/ZW/34oQMhGovVqbLLQJIYSQmSbr1HGhUuuEoRWl0BYWbqFo71LmaHe74VR9sebbt9RXtFlomyvaF198MaJo9JP0r//6r6k/Y+/evXj3u99temhCyJTRGVC0i3GDI4QQQorKQOp4BtZhUTyPG+9Vl2FoxbCOi99T9mj3w9CiCFjbakkruW/Ec7GPPdqS4D3ahJDi0h7o0aaiTQghhMwyWaeOtzUUbVFwNguqaNerZSzWKwDC9k2L456xlE3K+TTAQpsQEowOe7QJIYSQwpD1HO2WRo920azjskdbOSdCxQ7Zp90aso6f3GwHO9a0wEKbEBKMwfFexbjBEUIIIUWlk3WPtsZ4r6JZx8VzoJ4TMeIrZN90rGiLQrs5tt24CLDQJoQEYyAMrUlFmxBCCJll1BFaa1thw7cAJXW8mm4db3ej4I9nEhieow0AexbC27nbauo4eq+FogfhstAmhASDPdqEEEJIcVBbxqIIOLUd1j4srePlMdZxpQhX53zPKkLkqCjnRCSPh+zRFgX+ylxNFvmrGy1stTr4nX/8Gj76zaPBjj2psNAmhARjoEe7zUKbEEIImWWG+6BDJ48LBb06bryXYqEugn28k9SjPS9maQcstGUwXUla1U9utvC+L96Dd954J9700e8EO/akwkKbEBKMNsd7EUIIIYWhM2TNDt2nrReGFn+uCIFowk1YSbCOnwwahhYfd2U+VtD/5atHABSzhZCFNiEkGOrOMa3jhBBCyGzTzrjQ1hnvVSmXUOrXnK0ZV7S73QjiKUgKQwupaItNllqlLBX0O46t48bvHgOw87VRBFhoE0KC0eZ4L0IIIaQwDFuzgyvaXaFojy5pSqWStI/PuqLdUVK+VUVbjPcKlToeRZFc81XKJezqF9r/8IW7ZQE+6+c+CRbahJBgdAbC0Ip3gSWEEEKKRGcobCwr63h1jHUciO3js17sqdZ9NXV8t7Ryh7GOq8etlcuysP/SXavy47N+7pNgoU0ICQYVbUIIIaQ4tHKyjtfHKNpAnDw+69Zxdd010KO9GDZ1XD1utRIr2gNfM+PnPgkW2oSQYAz0aDN1nBBCCJlpsg5DawpFe8x4r97nC2Id7yQr2rvmewrziUCK9nCBrxbay3NVALN/7pNgoU0ICYZ6wy1i2iQhhBBSJHaM99oMl3INxBv648Z7AUC9bx2fdVW1rVj3B1PHe4Xvqa022gEKXvVn1irlgUL7OY89u//YZvvcJ8FCmxASjDZ7tAkhhJDCIDbYRaGVVY92mnVcFOLNGVdVRTFbLZdQKqmKdlz4hnhOVEt+uRSnnAPAjz/hYO+xzfgmRxIstAkhQVBHTADANq3jhBBCyEwjCq59S/25zcELbaFoMwwNwEDyt0q1UpYW7hDJ4/For16Bf+7eBQDA4x60Cw/fvwQgTogvEtW8HwAhZDYZtghR0SaEEEJmG5E6vm+xju/evx4+DE1jvJf6+VlXVUWPdlLP+u6FGk5ttYMkj4sNDFHgf+95e/G//vOT8ZiDK3K0WhT1CvLhTYBZhoo2ISQIw4EoTB0nhBBCZhtRyO5bbADIQNFui0I7TdEuRhia2HhIKmb3iFnaAZLHpaJdjkvLSx5zAA/eszDgNpj18z8MC21CSBDaQxahdjcq3AWWEEIIKRLCzbZXWMcDjZMaPl6aSioK8Vnv0RYFb1I4nOjTPhHgORFrviQLv+o2KFogGgttQkgQhhVtgKo2IYQQMsuIe/8Zi71C+9R2O3E94Iuo/6PTC+1iWMfHbTzEinYI67g47s7SUrWxh0g8n2RYaBNCgtBKuJmxT5sQQgiZXYRzbW+/0I4i4NRWOFW706+0yyVaxwFF0R7Row0Eto4nKNpq0T/rjoJhWGgTQoKgXuznar1LDRVtQgghZHYR9/75egUL9QqAsH3aXe1Cu9ip4wCwu69on8ggDE2lVCrJ8z/rjoJhWGgTQoKg9uvM1Xo3W474IoQQQmaXltxkLwefpR1FkbSOpwVZV6WiPduFnkh9T1K0lxu9YVPr2+0AxxWKdnJpWRTr/jAstAkhQegoN9u5aq/Q3mzO9k4yIYQQUmQ6yiZ76EJb7f1O69GuF8Q6Hs8V31nizfcdBhtN/6JH3KOd/DyIwr9os7RZaBNCgqBedKV1nIo2IcQDUVQsVYSQaUG9968ELrTVjLUSreMAxvdoz/fdhZsB2vjGHRegok0IIV4Z7NHuXdzZo00IceV9N9+D7/29j+CLd53I+6EQQoboZGgd70b6inZRrOPjerRFz/xmCEW7K+aZJ5eW1YJsdAzDQpsQEgTRo10ZKLSLdYElhPjn+u/cj2PrTXz2u8fyfiiEkCHayib77vlwKdfAUKHN1HEA43u0Q1rH26nW8b6izTnahBDijhqMwdRxMs2cWG/iR//0k3jLx2/N+6EQxAs1btwRMnmIOclqj/ZaBj3aKXU26jL1eravG+MK3oV6LwwtxFqsIxXtUdbxYpz/YVhoE0KCMNijHa4viJDQfOHOE/j20dP4wC2H8n4oBECnIwptXk8ImTSytY7H/9a1jjdn3Dqunv9hRI92LmFoBbHuD8NCmxAShIEe7X7q+DYXxmQKEWpMs2A78ZNKrGjzekLIpNFSFe2FwIW2Ummnz9EWYVyzfR0f16MdW8ezH+8lU8dn/PwPw0KbEBIEtUdbXNxp9STTyKmtfqHd5ut3EhAWRRbahEwe6iZ7lmFoaXO0C5c6nmDhlmFoAa6d4ryOUrTlRgfHexFCiDvxxZ492mS6Wdvq7f5vczzdRCAUm01u3BEycWQ53qvTL7RLJZ3xXsWwjo9VtPvW8VYn8r7hMM6yDqgbHbN9/odhoU0ICYKaPNqoskebTC/COr5NRXsi6NA6TsjEolqIdwcutIWgnZY4Lh4PMPvW8Th1PKFHu69oA/7XYy35vI/v0eYcbUII8UA7IQyN1nEyjZzqK9q0jk8G7NEmZHJRFVVhHT++3gziCBJFfVp/NlAc67hQjJPGezWqZWmx9z1Lu51qHe+njtM6Tggh7qizHIVdaYvWWzKFrG3FinYUFWs3fhKhok3I5NJWxjw9eM8CzlhqYKPZwV98/DbvxxI92iPcygPUCpJ6La6PlQRluVQqyRFfvgvt9DC0Ypz/YVhoE0KC0FYCOdijTaYZoWgDxVskTCJxjzavJ4RMGh3pZiujXi3jdT/2GADAX3ziVnz76CmvxxLiqI6iXS2Ioq227SUxF2jEV9p4L87RJoQQj6jBGOLCvk3rOJlChKINMBBtEohTx3k9IWTSaCluNgB4zuMO4JmP2o9WJ8JvvO8rcm3gA6Fom/Roz3qh3emOt3DHyeN+R3x1FCdDElLR9vj8TwMstAkhQWgN9Gj3LjVUoMg0sqYE+bBPO39E/oNv6yMhxJ3h8VKlUgm/+xOPwVKjii/dtYr/feMd/o6lpI6nUZfjpWa70EtTtBfq+SjaVSrahBDiD7VHOw5D48KYTB+qdZzJ4/kjFvJ0FxAyWURRpIRxxSXG2bvm8RuXXgAAeNNHv+PteN0xo6yGEYXerG+Wqtb9JMR6LFSP9ujxXsVwFAzDQpsQEoTBHm0W2mQ6iaJowDo+64u0aSAOQ+NzQcgkoYrFw4rqcx93NgDgxEbLW6ikOJ5e6ngxCj1dRdv/eK806zjnaBNCiDeSerS5MCbTxlarO7AwoKKdPwxDI2QyUYvY4dTrqvJ/X8WWHO+loWgXxTreSVH5Q1nH2ylKOudoE0KIRwZ6tKv91HFaPcmUcUpRswEq2pOAWEh2utHMq1OETBNq0FltqOBS/+/rfWsShlYU63iaoj0ffLxX8nHrnKNNCCH+SOzRZngRmTLWhgpt9gXnj7pQo6pNyOSgqsXDiqqqaPtSNeUcbY0wtMJYx/u/X3XEPOv5QOG04ryODkPjHG1CCPFGW7EvyUJ7xneSyeyxtjU4AmXW1ZBpQFXNmPtAyOSgJkoPK6rq/1ueVE3Zo61Racs5zjNuHU/v0e4p2htN3+O9hKI9yjrO1HFCCPGGSL6sVsqYZxgamVLU0V4Ae7QnAXWhvNXk80HIpCB7pks7i99SqSSLP1+Kdnw8gzC0Gb+Gp/Voz+c03ku0Dsz6RscwLLQJIUFoKbuqYo72VqvjLW00iU9/5wHcu7oZ7OeT4jGsaLPQzp+Oskhn7gMhk4O8749QNX3bt8V6Qme8lzz2jBd6qT3agYQPtV0wCaFoz7p1fxgW2oSQIIiLbqVcQqN/Ye9GQDPQRfZbR07hxW+7Cc/9s0/h20dPBTkGKR7DYWjs0c4fVRHxHehDCLFHOtlSii1fqqZQbzUEbWkdn/VCT669RoSShUodb6VYx2tMHSeEEH+0ExRtINyIr6NrWwCA1Y0W/vPbbsLdxzeCHIcUi7VN9mhPGuzRJmQyaXXHB2L5VrTFpUAndbwo1vH01PFQ471SwtDKxdjoGIaFNiEkCGqPdr1Slqmg24EWxmoS8dG1bbzob27Cff3imxBbdqaOF2uRMIkwdZyQySQ1EMtzsRWnjtM6Loh7tJOfA6Fo+7eOjx/vVS3I+R+GhTYhJAjqrmqppCSPB1K0RRDH+Wcs4ty9C7jr+AZe/b6vBDkWKQ6coz1ZdLsR1HVaqOsJIcScdloglmf7sCy0NXq0i9IjrNujHS4MbZR1nKnjhBDijfaQhSwe8RVGgRI3zzOXG/iTn308AOBr964FORYpDsPWcSra+dIZClNkzzwhk4O479dSe7T9XEfVlPM06v0iP4oG209mjU7KZse8HO+VsaJd5hxtQgjxRmdoV3Wu2rvchAovEjvktUoJD96zAAA4sdFEd4ZvqCQ8QtEWizQq2vkyvEBmGBohk4NQU0cFccU92n7uy2LfTSd1XE1Cn2VVu51S8Arr+KbnOdqtlB7tmudNlmmBhTYhJAhtpUcbUBTtQD2V4iJfq5SxZ7EGoLcoP7Xl92ZCioUY73XGUh0AFdS8GV4gMwyNkMlBbniPsA+HmqNd0urRjr8m1PSTSSB2EyY/B8I67jvfIhZXmDquwkKbEBKE4T6h2Doetke7Wi6jUa1gqdGzRx1b3w5yPFIM1jZ7ivYZyw0AVLTzZoeizR5tQiaG4ZaxYfynjvcVdJ3xXkoBOMvF3rCbcJhQqeOt1DC0YvTID8NCmxASBGkhk4V273ITSoGSvWH9i7lQtU9sNIMcjxSDU1LR7hXa7NHOl+H5u1S0CZkchp1sw/gutkxSx8vlklyPzHKxlxZIF1vHsx7v1Ve0C9bOx0KbEBKETr/wFTfW8NbxwbEiexd7hdGx0yy0iT1ivJewjlPRzpdhRZuFNiGTQ5qaWvNcbIl6WSd1HIg34mf5Op72HCzUem6/djfyuuGQNtqNqeOEEOKRdmewXyerHm1R2O9doKJN3Gh1utJeFyvaLOzyhIo2IZPLsJNtmHCKtt7Xyz7hGVZV0+z7c/W49PNpH08LQ6t6DsKbFlhoE0KCsLNHW1jHw+xmil1SsWMuFe11FtrEjtNKkN6+fqE9yyE600CnM9yjzUKbkElB3odTUsd9z9HWSR1Xjz/L1nGpaI94DuqVsjxfPu3jaeO9agWw7SfBQpsQEoSdPdoZWcerfUVb9Giz0CaWCNv4Qr2CxX5f2zbDt3JleDRMqI07Qog5aYq27xFPJj3a6vFnudiLn4PkEq9UKmGhJgLR/E1laXXGH7daADdBEiy0CSFBGN2jHSp1vH88KtrEEyIIbWWuhnp/DjwV7XxhjzYhk0scSjpqvJe4jnru0dYstMXxZ9m+nNajDcTJ4z4dQWnHZeo4IYR4ZDj5cq4qxnuFSh3vHU8URFS0iStitNfKfBWN/uuXqeP5MqyG0DpOyOSQlnhd9RyIZWodF+uDWS720lwFgFJoe7SOp22yyCC8Gd7kSIKFNiEkCPHupghD6/3te6SEIFa0hXW8p2gfZ6FNLBHW8WVF0WahnS/Dijat/IRMDu2h+/4w3nu0u6ZhaLOvqqb1yQPAfM3/LO1WyiaLaOvz1TYwLbDQJoQEoTVkIxIX9lCpzXHq+KCifZyp48SSNWkdr6IhrOMstHOFijYhk8twCOow4uMtbz3avb9pHY9J69EGlFnaAazjowr8Ipz7JIwL7euvvx7Pe97zcPDgQZRKJVx33XXyc61WC7/xG7+Bxz3ucVhcXMTBgwfxkpe8BIcOHRr4Geeddx5KpdLAn9e//vXOvwwhZHIQPdqVjHq0xQ55vTKkaHOONrFEWMcHFW0WdnnS2RGGxueDkElBqKmVUcnTVb+Kdsc0DE1Yx2d4w9SoRzvD8V6co63J+vo6Hv/4x+Mtb3nLjs9tbGzgi1/8Il7zmtfgi1/8It7//vfjW9/6Fn7sx35sx9deffXVOHz4sPzzyle+0u43IIRMJPEc7eHxXmFTx6WivVAHAKw3O1yMEytkGNo8Fe1JYXiBTkWbkMlBqpqjiq2y32IrMu3R9px6Polo9WjXqgD8WsdjRXt86nirYKnjVdNvuPTSS3HppZcmfm7Xrl3493//94GP/fmf/zm+//u/H3fddRfOPfdc+fHl5WUcOHDA9PCEkClhuEe7HrhQGe7RXpmvolIuodONcGKjibN3zQc5LpldRI/2Cnu0J4adqeN8PgiZFNJsy6LY8pc63vs5moK299TzSURH0RbWcV/jvaIoSh/t5nmTZVoI3qN98uRJlEol7N69e+Djr3/967Fv3z488YlPxBve8Aa026Of7O3tbaytrQ38IYRMNrJXq7+DXJM32EDW8f4OtSiISqUS9vRVbQaiERvWNnv3peW5mkwdp6KdL+K6IhaKdKsQMjmkBXH5Tx3v/a2raMfW9dm9jrdTLNyA/+unugFaS9lk6UY7N0xnGWNF24StrS38xm/8Bl7wghdgZWVFfvxXf/VX8aQnPQl79+7FDTfcgKuuugqHDx/Gn/zJnyT+nGuuuQave93rQj5UQohnROErLvahx2o02zvTTvct1vHA6W0W2sSKU1vqeK98e7SjKMKvvPtLmKtV8Mc/+/hcHsMkIBZoi40qNtgWQshEka5qlge+zpU4dVyz0BZhbDNcaA+7CZOY85w6rj6f1ZRNFqB3/ivlipdjTzrBCu1Wq4Wf/dmfRRRF+Mu//MuBz1155ZXy3xdeeCHq9Tp+4Rd+Addccw0ajcaOn3XVVVcNfM/a2hrOOeecUA+dEOKBzlCPtlS0AymCorBXL+Z7RPI4C21igTreS+3RjqIIJV2voidObLTwT189DAD4///kY+VCqWiIBd1yo4r7T22j3Y3Q6nRH9gUSQrJDZCiM7tP1W+h2TcPQPFvXJxG52TFmvFdsHfdTaKvPZ9omC+Bvo2UaCFJoiyL7zjvvxMc+9rEBNTuJiy66CO12G3fccQce+chH7vh8o9FILMAJIZPL8DzNugjCCHSDi1PHVUWbs7SJPcI6vjJXlY6MbtR7bY+bURoCNfRrq9UpbKEtUscXG/HyZavVYaFNyASQqmh7nqMdp47rfX0RrOMmPdpBrOMpmyzAbJ//YbzfmUSR/Z3vfAcf+chHsG/fvtTvueWWW1Aul3HWWWf5fjiEkJwY7tEOHYbW7IxWtE+w0CYWnNoW1vG4RxvIp09bHcNS5AAwcV2Zr1dkAFKRzwchk0R7KJR0GLFB6W2OtkbC9sDxZ9w6rhNKBvi3jqsCyqjDqq+JIs3SNla0T58+jVtvvVX+//bbb8ctt9yCvXv34uyzz8ZP//RP44tf/CI+9KEPodPp4MiRIwCAvXv3ol6v48Ybb8RNN92Epz/96VheXsaNN96IV73qVXjxi1+MPXv2+PvNCCG5MhzIUauE7dGOb/Dx/qGYpX2MhTaxIEnRBnrJ44sZm6y2hhTtohKPkClhrlrBZot92oRMCsMb7MOI+7OvQksIqbqtPLXAzrq80QklA4CFut/xXup1edRzUSqVUKuU0OpEMz1ebRjjQvsLX/gCnv70p8v/i97pyy+/HK997WvxgQ98AADwhCc8YeD7Pv7xj+Piiy9Go9HAe97zHrz2ta/F9vY2zj//fLzqVa8a6MEmhEw/w/YlqWgHSx3vW8er8UV+70Jf0d5goU3MiKIoDkObq6FSLqFaLqHdjfJRtJVissizo4XltFIuY65WZqFNyATR6cbvzyRqnlPH4+PpfX2tOtuKttr7rNOjvdnyM96rpZF0DvQ2WlqdjrfWgWnAuNC++OKL5YD4JMZ9DgCe9KQn4bOf/azpYQkhU0a8s927A4obbDDreDtB0V7qK9qnWWgTM9abHamWLM/1Nmzq1TLazU4uyeOD1vHiFpbqBt58rYITaBV644GQSUIolbURBVfVs6Isao6KpqIdK+qzWWiriva4Hu15UWj7VrTHqOhA3+nQmt3znwTTQwghQWgPK9qhreMJlrW9/TnaVLSJKWubPTW7VilhrtZ77TYC5wyMYzAMrTiLlGHU/kPRZ1jk80HIJCEdJyOt431F25N1WISh6VrH61W/YWyTxoCiPa7Q9j7ea2dGThIyDK9AqeMstAvKt46cwg+/4eP4f1+6J++HQmaQKIoUS1c2YWjCiqamju9d7BXaTB0nppzaEv3ZNbmIq8tZ2tkXdgM92jnN8p4EROp4bwNE2B+Lez4ImSTaKcqm70JX1Gu6YWii0A/VwpY3qqI9TuWPreN+w9BGtQwI5PnP4R6aFyy0C8oNtz2AO49t4J++ciTvh0JmkCT7UugQEvFzqwmF9omNlkwnJUSHeIZ23GElksfzKLQHrOOeVIhppN0d7NEGim2lJ2SSSEu89m3dFvd17fFegZ11eSOU5XIJKOdhHaeivQMW2gVFXGTWt/0EIRCikmRfUsPQ0rIcbBCv6VrCeK9ON5KFEyE6nO4r2ktKoR0r2jn0aFPRBhArYdVySS4WWWgTMhm0E+7DKsJa7K3QFnO0NSvtWbeOxxkW48s7kTruq9DWDkPzHIY3DbDQLihC/TvNQpsEQC20azIMLb7chFC1pWVNOU6jWsFSo3dDoX2cmNBMaEVgj3b+DPRoV1loEzJJtHVTxz0pmqJeK2uHoc22dTyeyjD+fMge7VbHi/DRSVh/JVGVc8xnc6MjCRbaBUUsFFlokxB0OgmK9kCh7f8m15Kp44M3GPZpExuSlIFce7SZOg4g7tGulkuYqzMMjZBJYnis5zD+52ibpY5L6/KMFnpp518g3ECdbuTluWhpFvixdbw412wW2gVFFDostEkI1ItoZShICgijCLZkSNLgZW0PC21iQVKv4aQo2kUO/0pStIt8PgiZJMTaclT6tG/rsLSOa/doz/ocbb30bxGGBvixj7e7yULHMPHzP5sbHUmw0C4ostDeYqFN/NNRAkpE71SlXJI3wxA3OXHhHi6097HQJhZ0EhYs9TzD0GgdBzCo2DAMjZDJYnjayDB1z2FYpj3asx+Gppf+XauUZVG80XKvA5Ja90YdF5jd858EC+2CImwem61OoUIJSDa05EzrwUuMuMj67o+KoihxjjYA7OnP0j7OWdrEgKRet1wV7WZ8zO0CF5bqQnKe470ImShGbXgLxJrA1zXUtEc79PSTvFHDItMQ9nEfs7R1e8PF2LeQqeNRFOEVf/sFvOa6rwU7hgkstAuKWuisb3ORQvzSGXGxDzVLW71p7lC0l/qF9mkW2kSfpF63PFPHB+ZoF7iw7CgbamKO9naBFX5CJglhIR493qs08HWuiCAv7TnaM24dT3MUqCx4HPHVka17etbxkOf/8Mkt/Ns3juJ/f/bOibhXstAuKC2l0Dm1zbFHxC+jbrb1QLvJ6k17+EJPRZvY0E4IQ2OPdv6oyonvWbCEEDfaKfOUfYeRicJSU9BW1iCzWWiPcvYlIUd8ebif6IahVTNwFKi/z72rm8GOowsL7YKiXmQYiEZ8Myr5UiiCvm9yrXZ80R6eH8kebWKDVAYqO63jufRoN9mjDQymjovno8hzxQmZJOKNsFHWcb+KZscydXxWreMmirZwBPmwjuuO96oJR0PAjQ71XnmIhTbJC/Uis85Cm3hGvL5G9Wj7LlRa4xTtfqF9goU2MaCdsFnU6Ieh5a1oT4IdLi/U1HEq2oRMFmnp0757dMUIaO052jNuHddN/wb8WsfF+UxXtPvnP2CPtnp/vPcEC22SE2qP9ikmjxPPjFK0Q43WUANASkM33L2LNQC0jhMzOgntDzJjIIdF2kCPdg6F/qQwkDre3/go8vkgZJJI2qBUqVX9jneSE040e7TrBZmjnZY6DiiFtsfU8WFH4TBVef4DKtotKtpkAqB1nIRkZI92IEVw3OzO+Vq/D6nJxTjRJ1nR7jsyclCUBxTtAiu4A6nj/YVikRV+QiaJTkqPsCjEmp2uDDJzwXSOdrUoPdoZW8fTevMFsXU8YI+28vvcw0Kb5MVAoU1Fm3hmZI92IEVb/Lyk/iCxGC/ySCRiTieh17AeaDydDgM92gXuSeYcbUIml9hdllxeqIVYx4N9uGuYOi6On8c1PAs6mqFkgF/reFvbOt7f6PCUOp8EFW0yEajhUVS0iW/i5MvBS0yoMLT2mCAOsRgvclIzMSdJGZDjvXIII2OPdg+1R1taxwt8PgiZJFLHeyn3aB992qJeM52jPavW8bbmmC3A93gvzTC0SnhFe4up42QSaNI6TgLSHjFHO1QYmrCiJ9mlxGK83Y2C9gWR2SIpvVVax/Pu0WbqeG+OtuwxZKFNyCQg7v2jCi71Hu1jw70jreOmqeOzeQ1tG6SOi7a6jQzHe9Wy6NFWNg6OnNzy4pxwgYV2QaF1nIRk1K52qNEa4xRtYR0HGJpE9ElWtEUbQravo1anO/CeKXJhqc7RjhVtvq8JmQTSCj31Hu1D1YykdVzv62feOq4ZSgYA8/W+28+Loq2npIvHFTJ1fFO5H7Q6Ee4/tR3sWDqw0C4oDEMjIUmbox0qDC3pIi9USIBjgIg+sucsYY521ou0YWt0ka3S6rVFhqHxfU3IRNAecy8GegW4WBb46NMV14PhaSOjmHnruFGPtgiKzVLRzmCO9tD9MW/7OAvtgqKqI6dYaBPPjNrVrgeybY0LQyuVSrJAKnKBQswY36Od7etoeCGUR4/4pKCmjsswtAKHwxEySehYl6senW1CGK3QOg5gtMiRhFwXebh+xvO708Z7iUDcbHq0ARbaJCdURZHWceIb2aOdVRjaiOMJZPI4F+REk6R5pHkp2sM79M1ON/e+s7wYULT742laHeYvEDIJ6FiX4xFP7u9ZOd7L0Dre7kZexotNGiY92j7Vfd3xXtI6nlGPNpB/8jgL7YJC6zgJSby7Odyj3fu/7zC0cdZxIA5E4yxtosskpY6LQntBzRsoqDtDzX8Qc2AB5i8QkjdRFCkTR7JStM3C0NTN+JCqal6oYZFpVD2OW20njMNMIovUcXG/FPfre0+w0CY5oL6x1lloE88kJTYD4WxbrZSkU1pMiSmdhEC/Rn/DJnNFu79Dv2ehLj9W1EJbVbTV/IWing9CRrHd7uAtH78VX7v3ZCbHU10246zLsarsr0dbt9CuDxTas7c5105wYo2i1v8aH2PWOrqKdoZztB96xiIAKtokJ9TdpFO0jhPPJKmBQLgwtFEKukAoX1yME13GKtoZb9ioinZd9tXN3iJRh1gxK6NUKslNNAYdEjLIp7/zAN7wr9/Cb133tUyOpxZso9q4gNg+7EPVlD3aGlZpYLAQnMVANJMe7VrVn6Itfkba81Ath1e0RTjmw85aAsAebZITnKNNQjKyRzuHMDQgLrS5GCe6dLo7X8ONQBtFaYgNovl6BXMFD/YbXkiK9zbzFwgZ5ORmCwDw9UMnM7letHUVbY8FXlcq2npfrxaCszjiS7j7dAptn/3SsaKdZh0XKnp4RfthZ7LQJjky3KM9i6EQJD86I3u0w8zRjq3joxTtYquAxJwkRbshFe2sreO9483VKoV3ZwyPr5mvMX+BkCTEhmCrE+Ebh9eCH08NNxtbaJf9rQNMe7RLpVKwDf9JwKRH22e/tO54ryxSx+NCu2cdP7XVxtpWK9jx0mChXUA63QhqS0anG2GrwONiiH9GjvcKVKikpY4XvTgh5nQSFg6yRzvrQlso2iy0RyrazF8gZBD1Pvvlu1eDH09VtMeP9/KXOi7qNd1CG8gmkCsvbFLHvYShpbTvDR8z6BztvnNx32IDexZqAPLt02ahXUCS3lS0jxOfjOoTCheGNj51XKheWc8/JtPL+B7t/ArteVloF3NztD0UUse2EEKSUdspbsmg0FZDUEtjCl9pWfYQwtU1KCzl8Sv5jGnMAp3xagKf6e9tbet4PF4tFHGrVRkP2jMPIN/kcRbaBUS9uIiFIwtt4pNWxnO0tXu0WWgTTZJTx8v9z2U7t1mEu8zXK3EbREFfy8Pjg4p+PggZheq8yaLQFvfhdFXT/xxtA0E7kz7hvDBStEUwmYfz0NYOQwufcyLWeXO1Cg7u6hXaVLRJprSUF7iwVZxm8jjxyKge7Xr/Bus/dXz8Lm68GJ+9GysJQ9I82LoyTipLNURdODSKrmgPzWud5yYaIYmozps7j23g+Hoz6PF0E699KqmjRomOQxT6rfbsWcfNUsf9Pw9p472yULSFu2m+VpGK9j0stEmWqMFRy3O9QvvUdn5BAWT2GLWrGsw63h5vHS96XysxJ17A7UwdB7Lt007q0S5qYTkydbygGw+EjGL4GvXle1aDHm+Uk22YqkclVeT4VgwkbRnINYuKtmYoGRA/D37Ge+nN745Hu4U792ITer5ewYN2C0V7K9jx0mChXUBUm+1SowqAijbxy6hd1VA9rq2U/qCiFyfEnKQe7WqlLMfIZNmnLXfo62XMF9wqPbyJN88wNEISGb5G3XLXatDj6aqpPlvIOtI6bqBol+MWoFljlJswiTiYLDtFO3TqeLvTlW6z+VpcaN97YiPI8XRgoV1AmkqhvTzXK7TXm9kX2lEU4R2fuR2f/e6xzI9NwjJqZzuUoi12R0eNtJirFttuS8wZZUnMI3l8i6njkuGFZKO/8bDBMDRCBhCF9hlLDQDh+7RbKfdhQayk+hvvZWIdr3hUcieNdoITaxQ+12MtzR7t0P3x6gjXOcU6TkWbZMqkKNrfPnoar/3gN/Dq//uVzI9NwjKyR9tjT5BKWhjafL2vpBe0OCHmJCnagOrKyO61pPZoi02jrJPPJ4VhRXvPQh0AgvefEjJtiGvURefvBdCzjkdROBVXN/G66lFJFanjBnW2PP5sKto7s0VGEavLPsZ7aT73om0gkKIt3F+lUq/VSyjaR09t5bY5zUK7gIgAiHqlhMV+oX0qh9Tx1Y3ewuje1c2ZvOAVmZFztMVYDd/W8c542xKt48SUUSmqjRxGfG0mpI4XdZzV8GL+7F1zAIAjJ/NTLAiZRMQ16vHn7EK9UsbqRgt3HgtnoZWzlLUDsXykjvf+LpuM9wpc7OWJdBNqpY4LddnneC/NILxQirbi/iqVSti7WMdyo4ooAu4+no99nIV2AZHW8Wq+iraweHS6EY6tb2d+fBKOrOdoyxv8qNTxarHttsScUepMHrO0B8LQ6sV+LctNvP6Cbv8KC21CkhAb2kuNGh59cAVAWPu4bhCXnKPtsTe4bBGGFjL5Oi+SxlKOolb1qGhrWsfrHt0MSaj3SqDXu3/eGYsAgNsfWA9yzDRYaBeQVkKPdh5ztNWF4n1rLLRniVEJlKJI8a5oC5dGdUShXWePNjFjlCujEeg1PI6BHu1qscO/hjfxDghFe42FNiEqYjOwXi3jCefsBhC20NYf7+Vvjrawwhuljpf9HX/SGNXylIS64eHaUtBJCaSVxwwchiacXsLFCADns9AmWTMpPdpqoX2Ui6SZojPCQiZsRb5nELdSkjbn+sURreNEl1G9bvUcwtBkj3ZdDUObvUViGlEU7QipO7ASF9oh+08JmTaa/c24RrWMx5+zCwDwjUNrwY7X0uzTrXt0tsWp4/rfU/VomZ405PUxpeAFBm3eru2b+mFoYYPopKJdjwttoWjfcYyFNskI8QKvV0pYylHRVq2XVCNmi1G7quFSx8fP7yx6UjMxpz3Cgpdrj3ZN6dEu4GtZXQyKa8tZK71E5Wa7ixMbrVweFyGTiLhGNaplnLnU25Ba2wr3Hhm1wT6MT1VTXBJMUserHnvEJw0TRVtVn12fC+3xXoHnaA9bxwHgof1C+7v3s9AmGdFsxxYPqWjnUWgPKNq0js8So0cjhQpDizePkhCFdlGTmok5nRGhMqHaH8Yh1Ov5WkUuIIqYoK8qUOLa0qhWsG+xlzzOPm1CYpqKdXyx0btuhFzr6QZxxYqyhzA0mx7tGQ5DG7X2SkLdEHENJxvVLjjqmK1AboKt5s5Cm4o2yZxE63guPdrxG/s+KtozRXvEDTdWtH2P9xqvaM9T0SaGjBpX0shxvNd8wa3jg4p2/LyIQDS2IBESEyvaFTlhJuS8ed3xXjJ13Oscbf3vqcywddxI0VaeJ9fnop3SviePWclG0Z5TrOPn7+sV2kfXtrGeQ63DQruAtCYldZw92jNLPOYjozC0TkqPdoHttsSOUT3aeYShJVnHi7hplKRoA/GIr8NUtAmRDCra4UUVeR/WHfHkMXW8ZKNoz2ChbZI6Xi6X5Ne5tvNph6H1j9eNYjeCT2LrePw4di3UsLfvespD1WahXUCSerTzmKM92KNN6/gskTbeq9npeg0uEoX9yNRxKtrEkNGp49m2IURRFO/S1ypoFHgmfFKPNgDsZ/I4ITvYVsLQluq9tV6z3Q0WRKVrW66V/fVIyx5tm/Fes5g63tFzFQiqngrtlu5oN7UvPECP/GaCdRzIN3mchXYBaXbinaflRg0AcrFTDI734gJplhhVpNSVi6zP3eRWys1FtdsymZjoMGqzKOsebbWgn69XCt0GIRbmpVJPjRGI5PGjVLQJkahhaAuNuPDY2A5z7dC1LfsMRRXWcZsebdek7Ulk1NprFDVPc611w9DUz4fokd9KSB0HgPP69vHbcwhEY6FdQFptpUd7Lu7byfqio86BPbbezNSKScIyejRSfMnx+XynWdbmFBsRA9GIDump49kUuptKT+VctcwebexcyItZ2oe5YUuIpKn0aNcqZXn/Pd0MI6ykTf8QhLCOawq43o8/abQ1C16Br3FbuuO9qh77wpNQ3V8qDz2zX2jTOk6yQA1DW1R2ObMORBteKN5/mvbxWSHumR68xKgXf5/2NXHBrqeM9wKKqQQSc0YF+2StaIuFQ71SRrVSlptGWYaxTQqjbJFUtAnZiVS0+9cMkckTysHY0Q7E8mfdFgY1o/FeUtGevc1Kkx5twN+mg26Pds1j0nkSm814QoeKVLRpHSdZEBfaJTSqFVmcZF1oDyuLHM2SHSc3w86bHaU8VStliA81PRbaaYp2rVKWj6WISiAxZ3SPdrZztOMd+t5x5/o94psB04MnlTRFmz3ahPRod7ry/SLWeAv1sCO+0qZ/CGRfsAcXZcfGOu5xjvekYdqj7aNfPooibct6qVTy1heeRNIcbSDu0b6DhTbJArVHG4C0j2edPD6sLLJPOxve8Znb8fjX/Rv+5auHgx1j3EVXBqKFsI6PubnMFThEipjR7UZSKRnVo51Zod0c7DkTf28VsAVCXlcqyYX2yc1WITcgCBlG3cgeVrRD9WiP2ggbpupxxJNdj3bv+KHaJW+7/zT+6vrb8M3Da0F+/jhM5mgDvelDgFvRq+bt1DQK/KrH8W7DjOzRPmMBAHBio4XVjab3446DhXYBUa3jAJRZ2mFVzmGGC22O+MqGrx3qXfw/+h/3BTvGqB5tIN5d97mbLC709erom0uRxyIRMwbGSO0Y75Vt6vjW0A69ULQ73ShYevCkMmohv9yoSrWOqjYhgxvZ4p4besRXy9g67rYGiKJ4Q9TAOa4o6mGun9f883/g9//5P3Dpmz6FH//zT+M9n7srswykcWuvJGJ12f7xDUyD0DiuKMaDKNrN5B7thXpVthhlbR9noV1AZBhavyiJC+1sC5DtvoX3rOUGAODoKfZoZ4EoEL5+KNxu67gU8BA9rjp2KY74IrqMGiMF5NejLV6/DSXYr2iv5VEBdaVSSS6i2IJESHyfr5RLUkEWm1HBerQ7ekWeOubTBbV2NenRFpunnUDW8XtObMh/f/mek/gf7/8q/tt7vpTJxmgeqePq76VzXKloB52jXdnxOaFqs9AmwYnnaOdrHRdhPg/Z13vxM8gmG5r98/6do6eCBSqNC0XxOdpD0Ezp0QZoHSf6qEpH3qnjG0PW8Ua1DOGSLNpreVRAHaD2aW9m+pgImUSEkKEGhErreKDU8ZZmkVf1PFIK6G226SIU1RCFHgAcX+9Zk9/5su/Hq5/9SNQqJXzoK4fxynd/KfgGra59X+BjPaY+D2lhaIAawBawR7u+s9A+/4wlANn3abPQLiDDPdrLuVnHe2+yc/f2QgqOnmKhnQXiQt/uRvj2kdNBjjFuV1Uqgl5Tx3cuKoaRac0MQyMpqEpH3qnjw9bxUqkk7eNFey2Pu67EijadUYQ0O73rhuqAWQzsXow32FOSpz0EcAFxfzZgqGh7On7iY+pGstB+5P5l/NLFD8dbX/xk1CtlfPjrR/BL77o56L1jlOtnFFUP471U27nOYeXzH7JHO0HRPr+vaH+XhTYJzXCPtrj4nso6DG1Y0V7jAikL1AL3a4dOBjnGuD4h0Z8VxDo+ptCep3WcaKIqHcMLB7GZk3kYmrJwKGrewDi1Zn9f0WbWByGxkCEcOED48V5twzA015wWtdA26dH21SOexNpWS56HvYt1AMAzHrUff33596JRLeMj37wP//6No96PKzBPHXdX9+PRXiUtZ4F0NAQZ75Xcow0oinbGs7RZaBeQtjLeC1Cs45nP0R4utLlAygJVBft6oEJbXOwrCRf7oNbxMXdb2aNdwPnDxAy1oBteODT6r6PMe7TraqEtNo2KpWiLa0aSWnN2v9A+fJLWcZLMF+86gdd98OuZr3XyQNwT60qhLXu0A1nHdTa8e5/3pWjH/zZJHa8EtI4/cLqnZi/PVQfO/Q8/4kw881H7+18TTlRqG4ahiawmN0XbVkUP2KOdaB3v92jfv44oCtM2kAQL7QIiXtziIrAceJdzFEIROndv78V/aqsdrHeIxAwo2veGCURrj+nRboQIQ+sOvqaTaMj5w8UqTog54+x3saKdzYZNUrhLUfMGxo2u2S+s43RGkRG85WO34trP3IGPfjOcojgpbEtFO75uLAZe6+n2B0sV1WOPtkmhHSva/tcCwjZ+xlJjx+eyaDsy7dGult3dBWL9pTPaS/26rK3j4h6x3uxk5kgDWGgXkubI8V75KNpnLDXkTivt4+FRL/LfPLwW5GYz3jruV9HudiOtm0tR7bbEnNgKt/MWKXoefWYMjGMrwTouNquK9loep9bEPdpUtEkyQsld28w2jyYPmgm5JbF1PMx1o6URSgoo7WOO19DIuUfbf6F3rK9W7+vbxlXqntLWx2Hao+1j00H25puq6AGt40mFtirEZHX/BlhoF5Idc7T71vG1DHu0oyiStse5WkXuNNE+Hh610N5ud4MEQ4zr1YpHe/i5yakX69oYRXue1nGiybjQLVHkiht6aJKscOLfRSu0O2NaUkTq+P2ntoNsHpLpR6h2Gxm9d/Nku7UzDC20dVxXTQ2ROm40R9vT8ZN4oK9o700qtOXEiiwUbb3yruphpnVrzHV57DE9n4coipRWq4S2ReXxZdX6BbDQLiStoR5tcfHdyvDmo15o5mrleJY2C+3giHMvCs+v3eu/T3tcj7Zv+5R6sxxnXZJ9rQVYZBE3xi0Ylxs1ANk5gIbnaAOQqeNbGS4WJoFxG3hnLDVQKZfQjeI+SUJUxAbMegHuAeI+n6xoBxrvpdmj7cu63ekr2qWS2XivakBF+3j/2rMvJ+u48Rztqrt1XA1D0zpmoDnazU5X9u0nKdrlckkeO4uZ5vK4mR2JTAytdr+ftX8xzCMkSi20G9WKVCNYaIdHnPsLH7wLAPD1Q/77tMf1aPu2jquF9vg52n27bcGKE2JOvFGUUGjPZTulQWQKJKaOF6BgUBnXo10pl+SGLQPRSBLCRbVZgCwYUcw1ajt7tMOP90pRtIWi6VhoCee4SX927/jhxnsdW+9Zx89YGq1ohyq0u91InhPtOdoezoVxGJoHFT2JraYq4O0stAHFUUlFm4RkuEc77vfL7oUnbE3lUm93K7aOs0c7NM3+hsoTz90DIIyiPa5Hu1H1e5FVe23G3Vw43ovoMlbR7hfaG81OJhblONwlvl0XNUF/3AYeALYgkbGIe04hrOOi0FbaqRYbvetGqNBZXTXVm6ItjmdaaPeP3wnSoz3GOi7b5sK8/lSFuKKpLvtIAG+PyTQZd0zf1n3h/qpVSiMfS93z+lMHFtoFRFrH+y+4Rg4FiNqfXSqVaB3PEFGYPunc3QCAbxxaQ9fzDWfcDdf3HG2x+E6b4She51n11pLpRQbKJCxWludq8t9Z2McTe7QLumk0TtEG4hFfR07yPkJ2Igq7ItwDxIZ6faDQDjxHW3u8l58e6a5iHTchlKIKxIp2HtZxdeNAW9H24DAc5wAbd0zfjoKkNqtRx2bqOAnKcI+26PfL8oUnlBjxhqASkQ1RFMnn+TEP2oV6pYxT223cfWLD2zE6A/al0XO0faU+ypt7ShBHrALSOk7GMy5Qpl4tS5UoC/u4KArUxUOjoHO0x/VoA7GKdGJj9lOliTlCtQsVBjZJJCra9bATZtLenwJfqeOiTjNJHAfixxdS0T4jQdEOMdpURS1cjYteJ0Vbr2VAIL7O9xztcYnjgrrcWJjgOdrXX389nve85+HgwYMolUq47rrrBj4fRRF++7d/G2effTbm5+fxzGc+E9/5zncGvub48eN40YtehJWVFezevRtXXHEFTp8+7fSLEH3kHG3Zo539qJh4xmPv2HGPNq3jIWkrRfBivYILzl4G4LdPW73YJ1nHfe/qNoc2jkZRVBWQmJNmgRSq9tpW+IIueY52eeBzRSFWtJOXLmJmcJajW8j0UCTreDPROt4rtLda3SBFpm7BFSuafhRtc+t4uGLrmEgdT+jR9i0yDDOQV6OdAO4+asvUOh4X92EUbdX9NUzozY4kjAvt9fV1PP7xj8db3vKWxM//4R/+If7sz/4Mb33rW3HTTTdhcXERl1xyCba2YqXyRS96Eb7+9a/j3//93/GhD30I119/PV7xilfY/xbECPECi3u0s1dHhhXtXfO9heupDBauRUa9uNSrZTzqwAoA4NtHT3k7Rpp9KVQYWtpFnnO0iS5pY2pWMgxE20pYPMwVdNMoTTGT43MKpvQTPVoFso7HirYahhb/O4SqPy6bRUVVlNVZ2MbHs7aOh1G0O90IJzb6qeOL2VvHxfWxVLJIHW87KNqG1vFqoNTxrYRN6WF8rz91qJp+w6WXXopLL7008XNRFOGNb3wjfuu3fgs//uM/DgD427/9W+zfvx/XXXcdnv/85+Ob3/wmPvzhD+Pzn/88vvd7vxcA8OY3vxnPec5z8Ed/9Ec4ePCgw69DdBieoy0KkO1Me7T7Mx77b/K5HIr9IjJQaFfK2NO3N/ksGAYCOcbMIfa1myxez2k396IWJ8ScdEU7u0I7SdGeL6h1vCPSbUe816VaEShsiEw3sXV89l8f2wk92o1qBbVKCa1OhPXtNlaUvAkfyHtxipqq9nC3OhHqVcNKuY8o0o2t44FGPJ3YaCKKeoXunoWd57YeuD9Yd465io/U8U5Xz1UoiHvkwxTa43q0sxixNozXHu3bb78dR44cwTOf+Uz5sV27duGiiy7CjTfeCAC48cYbsXv3bllkA8Azn/lMlMtl3HTTTYk/d3t7G2trawN/iD3i4iIubuJFmWmPthKGBsTD5TdbHacdTjKepjKGoVopy4LhtM9CO8W+5Hu8wvDG0SiKWpwQc9pywTjeOp6FAyepRzuPzdFJgIo2cSFWtGe/RzvJOg4AC/VwgWi6hZ5akLkVeL2/Tcd7VQIp2qI/e89CPTEQLnTitQzxNCi0fdjoxffqPg+i9vB9HpI2pYfxlQ9ggtdC+8iRIwCA/fv3D3x8//798nNHjhzBWWedNfD5arWKvXv3yq8Z5pprrsGuXbvkn3POOcfnwy4crSGrrVjANTth+naSELutUtFW3hhZFvxFQyxAxc7qkpir6XHhIS72o+xL3sPQNPuDGrSOE00mUtFOsI4Xt0c7TdHmPYTspEg92klhaEB8z18PMEtbd7yXugHvUuCJHu2yoaLtq0d8mGOnexlDSaO9gOxSx3X7swE/VmrxPGiP9yoH6tGWm9KjH8fUK9qhuOqqq3Dy5En55+677877IU01o+ZoA3EBHJphRVvdgWIhFA5hqRQXGxGO4lPRTtvV9n2ha7X1AliKWpwQc9IWLHGhHV7RTuo7i1ttivVaTlO08wi6IdNBpxtB1FVF6NEW74H6UKEt+rRDKNq6eSmqou1S4InrtGGdLTcCfI+XEkFo+9IK7WCKtrmV3sdMc9se7VaoHu0xYWh59Gh7LbQPHDgAADh69OjAx48ePSo/d+DAAdx3330Dn2+32zh+/Lj8mmEajQZWVlYG/hA7oihK6NFWi9xsXnxxL0VZPhbxJqW1NxzDu9xS0fZ400276NY890e1NBVtWseJLrqp46EV7VanKxWfgUK7XszXchy2lPxel9ZxFtpkCPV+s95sz3yLWlIYGhBbx0OM+NIt9EqlktwscxkrJZ5C09TxmlRUwyjaZyTM0AaAhue2uWFserTj1HGHUDrDAj906vi4Hu2pSB0fx/nnn48DBw7gox/9qPzY2toabrrpJjz1qU8FADz1qU/F6uoqbr75Zvk1H/vYx9DtdnHRRRf5fDgkAXXGsbAPV8olWfxkp2gn9B1Wae0NzfAud5Ae7RQ10HefUltuHOkp2kXrayXmiHCXUQF74n2zFrjQVq+FA9Zxca3M6Ho9KaQr2v02KBbaZAj1ftONZn8zZnuEoi0210PY59uawaTq1zgp2jJ13K5H27t1XIz2ysk6bqosA2rquPvzoK1oB5uj3fsdpj51/PTp07j11lvl/2+//Xbccsst2Lt3L84991z89//+3/F7v/d7+J7v+R6cf/75eM1rXoODBw/iJ37iJwAAj3rUo/DsZz8bL3/5y/HWt74VrVYLv/Irv4LnP//5TBzPAPWFXVOSHueqFbQ67cwUkqT+ofl6BevNDq29ARm++S4GULQ7KYEc9UBhaKNULkFRZw8Tc9IWLFmFoamvVfVaOVdQd0bqtUUq2nyPk0GG1cvNZmes8jXtDOfgCIR1PISibdIjXCuXsYWuU7HbtUwd92GXTuKBfhjavoQZ2kCWPdomqePu/eppG6DDVGWPfPZhaHm4nowL7S984Qt4+tOfLv9/5ZVXAgAuv/xyvOMd78CrX/1qrK+v4xWveAVWV1fxtKc9DR/+8IcxNzcnv+dd73oXfuVXfgXPeMYzUC6Xcdlll+HP/uzPPPw6JA21N0S12jZqZZzazk5N3k5QtBsF7TvMEqloD4eh+bSOSyv3KOu46FPyNd5r/PEEoq+13Y3Q7nRTC3NSXPR7tMMq2qoDRVVtijqqjj3axJZhBWuj1cGenB5LFozs0Q6YOt5KcQKpVD0Uu13nHm2/iurx9Z51fN8I63joHm1x/keNP0zCi7Og/726oXQ1D20DSZj1aGfXOmJcaF988cVje1tKpRKuvvpqXH311SO/Zu/evXj3u99temjiAfXNpC5Wsi5yt9qDYWi9fwvrOBdJoRge+SGt49u9njVTC1YSaWpgvKvr57XWljMcU3q0lYvvVruLJRbaZARpBd1KRmFo8v069FqdL2ih3ZHXFvZoEzOGe1A3AhSak8SoHm3hYgsxS1y8P3WUTR9jpcRTap067r1HOyUMLaM52rWMU8dtFW3/1vECzNEmk4+coV0ZVkiyLXLFAnHYOq5+jvhH7KSKm6+46Xa6kbeLf5oa6HtHsdXWHO+lvNaKkDpL7JHhLiN7tLMJQxPv12FVaq6go+pS52gHDhsi08twD+qsj/gaNd5LFtpBFG1963jdQ4EXp45PyBxt3dTxSerRrriry6YWfnnMPKzj0546TiafuCgZfEPIoKiMetu2WwmKNq3jwRHPr7jgL9QqEPcoX0VDO7WP0nfquN54r1KpJBcdfI2RcaQVdKoTJCSj7J/F7dFOmaMt72PFOi8knR3W8RkvtJtD93rBYj3ceK94KoCBddyh2JIFnmGhHY+X8jze67S+dTxE6r1p+jcQb4q4pI4bK9plv2tAwaaGdTy0fT8JFtoFozkiOCouQDJStBOCOsSbg2FV4RheuJfLJSx5HvchdkZH3WzrFb/JwLqzO4H4NcawJDKOtNCtzBTtEYV2Qwn2m/UxRSq6ijYLbTLMsINqo1kU6/gIRTtg6rhOoecjeborU8fNvk8Ul1EU93m70mx35RSKUYp2o7/2iSL//eFAvGmhs9Eh8JI6bqiky2OG6tEemzree4y0jpNgDM/QFmStaCeN94r7xLlICsVwGBrg30qWlnwpL3S+FG3N8V5A7JoQYyAIScJE0fZtP1RJer8Cg9fNIhWVnZSwH7EB4Sv/gcwOxVO0x4/3CqFotw16hH30SdsouMBgIepL1T7et41XyiXsmq8lfo066SdEoRefD4Me7bK7s8B0vFc8x9yzoq3Toy2EHiraJBRxj3aydTyzMLTWzt3WovYdZonc5a7F533Jc4JyO+Vi73uOdksq6OmXM/ka40KcjCEtdEsU2kBY+/j2qB5tJeBoO8eNyXffdBd+6V03Z7ZBS0Wb2DJcSMx6TseoMLSFgOO92inZFio+7NvCzGNcaCtf72uj9Fg/cXzvYn1kOJu6YRqi0Da1cAPKqC0PGx46vfm9Y4ZJfdexjovNDhcF3xQW2gVDqn8jwnWyWqCIhZm68yTsHrSOh6PZ2amQ+R7x1U7pma55DixqmyjaBU1rJmakj5GqyOI3ZPK4KKKHC+1apSRH2uS1aXT38Q38zge+hn/+6hF87vbjmRwzTbFpBO6BJNNLs10s6/jwhBGBcLCF+P3lvVjLOu7BstwV1nHTQjs+J77sy2mJ40CvqBWnJoSiaqPw+3AYtg1D6aqBAslMwtCoaJNgNEckNGcdRLaVFIYm7OssgoKRtHD3bSVL7dH23J8zqh0iiaKGSBEzdBYsKxnM0k7aGAN6C8u8N43+7KPfke/h0L3qgnbK+CCh3oXqgSTTy/CiPkSP8qQQRZEUM4YL7fh+7/f373YjOW5Lp9AT1zSX92kchmb2fSEV7X1LowttIGzyuI2i7dPCr9sbHmyOdlOj0PbsqNSBhXbBGFWUNHIa7zWnWJjleC/a/oKRNC5I3HhPZdSj7XsEj8lIkTklRIqQUegsWLIIRJOqVMLCYS7HhO3bH1jH+790r/z/6awK7dSJBvE1gPZxolIk63hbKXp3WMfrYazjasGs08YlreMOBY8otE3He5XLsSPIV59wrGgnJ44LQiqqaSGeSfhIfzdV0qWiHcw6Pvr1l8cISBbaBWNUj3YjY0U7qX9orr9ImuUbYN4kBaSIHm1fi+V2ykW35nm8gol1fJ7WcaKBTM8d85palop2OOv4qDA0IL5e5vFaftNHvj2gBPnapEsjdRNPua5xljZR2Wkdn917gPraHxWGtuH5PateD3QUVR+9weKQo3qixx6/7K6oq8gZ2qmKtt+pKyqtFMdPEj5a+dKuy8PI4j6QdXxcGJr8fT2r6eNgoV0w0lPHM+rRTlC0GyyCgtNM2ODwbh2XPdojwtCU/hwffZQtg/FebE8gOugp2hlYx0fYP4H82iC+ffQU/vHLhwAATzhnN4Cwmw0qaZt4lXJJPmcc4UdUdijardnt0d4eU2ir4718jbYCBs+vjrLpJe1a9gabf29c7Pnq0e5bx8f0aANKjkTA1HEdR4Gg5mHDQTyHus6CeoAe7W43kvdCHet4lpMpWGgXjFFFSdaJ38IenhSGRut4OJL6tryHoaXO0Y5nWPrYTRYXa53+oDkG7hENdMakLDeEdTygoj0idVz9WNYbk3/+sVsRRcCzH3MAF52/F0B21nGdXsCQC1kyvezo0fbcozxJiNd+tVzaUfSK+z0AbHi8dqgFq86md2wd99CjbVFpVzwU+irSOr6UYh337OhTsUsdd99wEL+K7nFrstD2t9Gjbi6NTR0PcOw0WGgXjFGp41nPsJY92tWdYWi0jocjyYrqe7xX6hxtZZakjx3NtoWizTA0Mg4TRXstgx7tROt4Tg6gW+5eBQD856c+ZGCeeBa0U8auAfFClj3aRKVVIOv4qCA08TFxWfM5S1vdNNept3wkT9v2aANKCJgnVV+0z6ijH5MI2SPcES1PNtZxB4eh7A3XDUMTSecez4EqnsxVRxfaeWzEstAuGKPnaGc3XziKIrk4VOc5xyPGZvcGmDdJCtmid+v4+F1m37MkWwY92pzVTnTQCZXJMgwtSdGOr9nZFpTi/bYyV4uDFLNWtMc8LyFTfcn0MjyveZat4+OuG6VSyfs9H4iV4VqlpDVuq+6jR7v/lNoU2lLR9jz9JGlTVGXyUsfdE9jlmk/XOh5A1ReFdr1aHtuzXwtgW0+DhXbBaI60jove1fAvPjURU915mqeiHZyk2ZrL3q3j43u0K+USxPXYx4XWLHWc1nGSjlg4jNu8ySIMbXuMdTyvvAFxDalVS1gSmw1ZKdoaGyDCnUVFm6i0hu59s61o78xiUQkx4it2m2gGYvW/bngDxISOVLTNv9dHj7iKrrMupONGp+VpGLWf21bd76aIK8OEUJU3NUZ7AflsxLLQLhjiZjOqRzsLNVlVEwcVbdGjPbs3wLzZTtjp9j3eK03RLpVKXvtkTFLH5zJukSDTiVaPdiZhaGMK7Wo+mRaqnV1axzMKQzNRtOmMIiriXrMy39sc2pjhHm1pHa8lX79CjPiSm5OaRZ6P1PHIpUdbjrXyq2inFtoBx3u5Ktq2j8n0uCFU5aSRwcnH7tvWqWiTUIyco53heC+1yFGVVfbPhiep0PZtI9NZDDc89inp3uCAeL4iU8fJOHQWDitzGYShje3Rzue1rKrsyxlbx9M28QCGoZFkhHK6SxTaM2wd3x5z3QCUEV9Nf+fAtk/XZcST+FYdq/qO4/c3BGzt0sM0NTf8QyqqcoNY8zkABjdGbDc9TOdohzgHYnNp3GivUMdOg4V2wZB9JNXBN0Tcuxr+xSf7s6vlgQukeAy0jocjaeG+7HmOdkdjl1mE8fnY0ZSzIw3C0GgdJ+PoaNggc1e0cwhDi6JIuYeUZZBiVmFoHY02EYahkSREGJootGd5nSGt4yPUvUXP7WKAujmpqWj3v67lUOjKtYZDj7YvVbWtuQ6ZtB7tcrkkrfe2mx5tQ8t6XQmi8zViTtQu44LQ1GOzR5sEY2SPtuxrC3/zGbXzFM/ynt0bYN4kLdx9j/fqpIz3AvwmbxqFoWXo3CDTi17qePgwtO2ETAWB+FiWDqB2N4IIpq1XyvG1Y4IU7ZCpvmR6aQ8p2kUY7zVK0V6oh+vR1rcP9wtdh/epsI4btCRLREHsS9HWDkOT1yf/r7+2Reo4MJg8bkPX1Dqu3M98Wbh1reNUtElwRlrHM7Rty52noTfEPK3jwREXNTUkRVrHm20vu4tiMTwuCVSM+PJxkTUa71Xna4yko5c6Hj4MLSm8UJCHoq0uTurVstxsOO3p2pFGRyOkTtzLWGgTFXGvkYp2q5PJazYP0sPQeh/3aR3X2QRT8TFeq6Ox1hhF1XvqeLrAAISdo63TtpdEzbFf3vS5H5g8463QFi6O8Yo252iT4IwKQ4vVkfwVbdp6wyHOvapoi4IhioAND+dezLYcd7GXFzsfinZXpJzrKNrZjbEj04tUtLVSxwNax8ekjjdyCI8cKLSVMLQo6m3UhUYndVws4mgdJyrD1nFgdu8D41pOgEDWcQNnGRBfW93maPf+tiq0cw5DC1Hoxfcts9IuPhd2z4Vxj7by+HysAQFV0dbs0XaYG24KC+2CMXqOdvZhaMMqjVC4O90o0/6JIpGkkDWqZVmk+rCASkVbx97ppUdbjBsy6NGe4f484o5e6nh4NVdnjnYWIxkF4r1WLvUWcwPXjgz6tGVbypjnRfSlhrBmkulFFBFicwiY3RFfMnU8pdD2O0fbUtF2mqNtnzoeK9p+rp+mc7RDjveyVbSb7WzC0MrlknyM3hRtIeClrAPVjZCsVG0W2gVj9Bzt7FSAUTtP6v+paochaeFeKpW87nDr9OvUPYahSeu4RqPWfJ0zdkk6ej3asZp7OpCaG/da7tylz2O81/aQI6pUKnkPUxyHVuo4FW2SgFoIiTa1WR3xJTfUR6h7i6JH2+NGg0kLF+BnjnZXztG2KbTdresqbVPreJAwNMsebceZ4jYFvlwDWhb3w8QtqeMV7UaA/vA0WGgXjFHqXxxEFt5OIRZAw+mAvRTy3r8ZVhWGUT2fPgPRdBIo6447qCriNZ12gwPi1xwVbTIOnR36uVpFvo5D2ce3x1jHc+nRTng8Inl8LYNCu6Nh6Y8VbRbaJEaoV7VqWc6RntURX2njvRb7Pdp+FW2zIs/HHO2OLLTNv9fVLq0SRZEy3iu/MC5bRbvqaGcX53Cci3GYOIDNz/1Lf462f9t6Giy0C8boOdrx/0MrAXK819AbolQqxennDKsKQtIcbcDviK+4SBn9Na4plyotg510oWj7DIEhs4fumJTQgWjjrONZ5moIWp2dG3VLjb6FPgPruFHqONuPiILckC2XsCDDwGZzw3VbBkNlaB03GLMJKKnjDu9ToQm5Wcf9BcACBqnjngrMgcfRSRc5knDtl3dRtH3VG9uaPdqVckm+XqhokyCk9WgD4RducY92gh1SzNKmou2dbjeSN4Thm4FPRVunv1XO0fZwkTUJYRFKBl9fZBy6Y1JCB6KJPuOkxZt0IWW4KZk0NihL67jOgo5ztEkS6vz3hVrvNTurziZRxI1WtAOM9zIstuQcbRdFu3/MktUcbX/WcbVYz9M6bqto1x3dBXKeuUmh7TkUTrRQpRXaQLxWzMr1xEK7YAir7rD6V6uU5ZskK0U7yeKRhx2yKKi7d8MKmc8ebak6jbn5eQ1DkzeX9MuZKLRbHQbukdF0NF9T8SztQIr2WOt49gn6YmGith4tN8KPORPo2FPFBi6t40SlpQTpCWeTT0V3kkhTtMV4L5+TAkwDsWoerNvdKN09l35890JPXcekOesaQXu07cLhpKJt+Vy0NUIqh/G94aCbOg5k73pioV0wxo0gmMvIirg9ZueJs7TDoW6gDLsJlqQq5b5YFjOIx+3s1qvutjFBrFToKNqznzhL3NFdsIRXtNPnaOetaMtrRxap4xobILGizfc3iWkpzifRozyrziZRQDRGFH3iPuh1vFfXbLyXz9RxmzC0irSO+3PVAem/fyZztDWfA4F0F1gWvXKeuUFFGef0+DkPwp2S1qMNhHUVJMFCu2CMG4XUyKjIlT3aYx7DrN4A80RdeA7fDJa9Wsd7f48rUmoeL7Imu6l1ZRwR+7TJKHQXLMuBg8DGF9o5KNoJCnsW88QFWqnjtI6TBMR9ol4tY75vHZ/VzdZY0U5W90SrmM/UddP+4LznaIs1SMeDoh27JUqpNnbfBebg47BLHZfWcctzIazjJop2zaPYAijW8YSW1GFi2zoLbRKAUT3aQHaKtpx3l6hoZx/wUxTUYKXhm0FsHXc/70LRzsw6bpA6DqiBaHyNkWR0E3RDW8dHhRcCsSsl09TxhMcjwtBCF9rdbiTDj9ijTUxpyjC0OHV8Vq3jckMstUc7gKJt2KPtYt3uOIz3Etd2Hz3C45yiw2QxR1tn1KmKrzA0mx5tX+fBxDpeo6JNQjJqjjYwOOIrJNty3h17tLNEqmMJz30chubBOq6RBBqHofm7yaWlfQrEDNFZDcIh7nQ0Z7NnZR0f26OdpXU8YUEpw9A8XDvGoS7IK+PGe7FHmySQaB2f0XuAcK+NTB2vxz3avsa5mvYH+0gd99Gj3fEw3stksz/sHG3bHm3H8V4di0K76ldV1h3vBbBHmwRG9GAkFdqNjIpccRNIsniw0A7HuGAlv+O9NHq0PY246HYjaR/THSuyQEWbpKDfox1O0R43JQDIV9FuJFjHQ/doqxZPHUWbhTZRaStztKV1fEbXGdI6nnCvB2JFuxv5a9NrG4zZBNyLO8BPj7YfRXv0dXoYn6NNh7Ht0RYOV9t+dZu0c5/tg4Aq4OmkjlPRJgEZt/OW1VzWrTGJmAxDC8e4m69P67i44Y67+cW7mW43OTUl09Q67jNxlcwWuguWlYCK9rgpAcCgA8mXKpVGkntkqZFNj7b6Xh87R5thaCQBqWgr1vFZVbTHbaoDvXWWuD37GvFlq2i7hJGJby1bzdH22aM9KYq2XY+2DENz7NE2OW7Dcyhc3JKqb9/3NVosDRbaBWOczTYO18lqvNfOnacG52gHY9zN16d1vBul7276mmOoXih1reOzvsgi7kxC6rjawjPOOj78tSFpJjiisiq0O+qs2jGW/pDjc8j0olrHCzPea0QwVLlcwkLN7zmQTjbtQtu9R7sre7TNv1c8TtuRViomPdqNgEFctnO0q54UbZNCu+b5PMi6wiAMjYo2CUJLp0c7uKJN6/g4bvruMVz9wW94LwTH9Xv6HNHTlqMexlnH+32UjhdZ9cage3MRo01oHSej0F2whLSOq4uA5I3R+PqZ1YivpHC2rMZ7qQvycU8Lw9BIEjIZulKWPcozax3XyC1Z9DhpBFDPr24YmscebQvruLCudzK2jmfTo21W2rmmcIt1mE2Ptr852uOT9pOOzdRxEoSkMBuBKHxDK9piAUTreDJv/Mh38PbP3I5Pfvt+rz93bKEtU0h9pI5rKNpitIMnRbtU0r/Ixz3as6lmEHf0U8fDW8frlZ1TAoDeNVw8vqxGfCW5Ylb6mw0+8h3GoV5Xxo3QoaJNklDdfAszHogpxJJRYWiAMuLL0znoGBZ5XuZoR+L+b2Md76u4Hqzj7Qmxjrsq2rZWapmTY5E67s06bhCG5stRqQsL7YIhbzbVhB7t/gs0K0U7ydY0x/FeOLnZU8d8q2RygyPhvPu0f+rYiHxdZNW+O92bLcd7kTTiBcv4W+SSZ1VIZdzGmCCrXA2BmBIwON5LXDtCp47rbX747v2bJv7jyBruO7WV98OYSKSbr1pS7gGzudmaNt4LABYafq3jbcWar4OPOdriW017ktXjtz1Yx8cJWMPUA16fbNK/gVjdt930sOkN9z1iy2S8V8jnIAkW2gVjXOr4XEYptltjxnvN0zoub/6++9RFOFDSzddnj7ZOf6sv607b0K4GMHWcpKPbo70UYB6tICnhe5i5jB1AYkrAQBhaX9Vfb3a8BAuNQletEW0pWdnpJ4XDJzfxnDd9Cpe//fN5P5SJRAZWlctyvNes3gO2NWy0Ysylr01C0zA0GcDlsAaILEK44uOLvmQfinbclpCG7/nRA4/DsE9++DHlMUfbW6HdZuo4mRDG92hn09sWpwOO7tEuchiauPn7XgToWMe3Wl2nFFAgHrkxdgSPuNk4LoZFkInuSBFAnaM9m2oGcaPbjRBpWuEWGnGR6RsdRXsuY0U76TEJ+zwQNslfdyEvnFlFU7Rvf2Ad3ainahd5o3oUbUXlleO9ZrXQ1tiki63jfgtt3XuxWAO4WLdFgWfhHI9VXI+p4/XcU8ctFW3HYDibQrvhsU+6243k+Zwb85oXsEebBCOKovE92lnN0R4z7y6rWd6TjLj5ew9DG5M6LoJRAPc+bRmGNubu5ytAqWVoVwPU8V7FfY2R0agLr0rK62qpv2nTbHe937SleqyhaGcV/JUU+tOoVuT/QyaPxyPXxi9b4k28Yr2/j51uAgCiCLj7+EbOj2byUMO6Zn3yRLOdfu3wOdITMLctx0nXLj3avb+twtCkop2fddz3WEbda+QwLtbxbjdSerT1j+tTVVbvf1rWcSraJBTqAjLJPhz3+4UOQxM92gxDGyaKomDW8XEKWb1als/HKUf7uBzvNaZIEWnNa44Lc2nZMrjAz/oii7ih9uylK9rxTX3D04JVIBO+xyyast6YTEodB5SNs4CFtu5CvqiK9rHT2/Lftz+wnuMjmTyGRYZZD8TUUbQXPfdoi/FeNcNC22W8VjzeK+8wNP0Ct9FvbYkiP8dOfBzG1nH7fvmOsllgsuHhs09avf+Z9GhT0SbeUXeraolhaFn3aI8OQ8vLOn50bStXNWC73ZW7g74LwbSbr6/k8XhBPPrystJfmK9tuhX1UtFOeD2PYr7u1zJHZosBRTtlwVKrlOVN27dtelRRq5J1eGTSHG0gto/7yHgYhVBr0hbycb9hJNtYisCx9ab89x3HWGirdIZEhpAtH3mjbiqMVbTr4hx4Gu9lmDouQlmjyP76JQttix7tiofUc4GNdRzwr6jaWLiBeIPAJnW8Y+AAU4kVbffzL9pRa5WS1u8ujr3NQpv4Rt05GjtHO3SP9pgYfhHIloftb6vVwY//+WfwnDd9KvhM2FGoPWOherRHFtqeFsvyYj9md3NlXijaroW2WHyb9GjPdhAOcUOdq6rjlBCvJ9+BaHo92tmMZJSPacQCXmzSuTpUxiGTbVMWc2oAVJFUbbXQvv0BWsdV1AKiWilhof8aaba7QQP88qDViTMmkiaMCBY9Bzl2DINJlxtViJrIdsO9I9vUzL+35lHRbhn0p4cstNtds+dAENv4LRTtrnq/zEvRFv3Z6Wq2euyWhyJfBxbaBUK1SSS9IbJQR9qdrrwYJL0pRP9sHtbxD375EI6sbeHUdnvAhpclqsq62Qq0cB9xM/A14qujkQQqZ+9ut51UJ5P5lQKmjpNxqAsvnXXDYiB1LO39CsQ26ezGe40vtENax3VHrqnnK6ve9UlAvWfdQev4AKo9uVYpy3UGMHvOJrVw0bOO+7l2tAwTr8vlEnb1N9xXLQttsaFgkzpekYW2+zVCXBd1rOOVcqy6+t4I7OSQOm7iABs4pix23c+BcH+OS9lXkWp6J5v7JgvtAtFSUjeTZg43MlBH1IVPI0nRztE6/nc33SX/nVVIwjBq8ZdlGBqg7nC7HbejsasqrKZRBJx2WOi0NBffKrF1nIU22Yk6RkpnNru0YOaoaGflABLXkMYO63i8cRYK3URdNRhR5IEUARGGBtA6Poy6mK9VSmhUy/J1NGv3AfVaMG6TzruibWFb3r1QBwCsbrgp2jrX6WFEseXD0WAayhoqjKttaN8XxKnjjtZxkx7tir/NhniSkW7bAhVtEgjxohp1MchC0R4ILUhQtLNKPh/ma/eexJfvXpX/z0sJCWkdFzfgUXayZU+ztMUO8biAkrlaRRYQLn3abYvU8UUZhjZbSgbxg5xFqvmaWvAcKiSQRa1Gj3ZW1yvZoz2UiSA2zk45toKMQ3eOdqlUkucsrw3TPDiuWMcPn9xi2KNCqzO4eVYqxfbxWSu0m4qgMq53WWay+BrvNWZ07Cikor3RTPnKZESPtk3quNgQ8BGIJUebaRa4Yr3i+7qte40cJk4dt7eOl0pmvfI+x5zF7aia1nGpaLNHm3hGpm6OWLhJdSTg4mSrPf4mkNcc7b/77J0D/8+v0Fat49kq2ktzfqzjwomVdrEX9vG1Tfvj2cyNnKd1nIxB16Is8L1gFWgp2hlvTMZ29sEFTRbWcZP3ujhnRbKOPzDU7nTncaragpaSOC6Yn9HkcTE+ddx1AwAW6p7He4kMBYN78Z4FN+t4nDpu/r2i2PWhaI/agBxFvRpnBPjEdo523UMYmrldvX8OPBS78chgs40OFtrEO0k3GxUZhhZw0SZV1RFviPgxZLdAWttq4R9vOQRAeQPmVWhvh7OOp6UYx3M1HUduad5wVzyoYCZjNQQLtI6TMZguVhbqfnsdBXF44ehd+rmMxyGO2qyTinZA67hJ/2Ej0EJ2Umm2uzKI7iH7FgCwT1ullZDlMatjHnVGewFxj/aGp/dsrGjbWMdtFe3e31ap42X74nKYtLX1MI1A46VkZo2xom2v7us4GJPwudaWirZ2GFq29wcW2gVC7dFOIotgHbEgHLV4FHO0m53s0kDff/M92Gx18Ij9S/ies5YB5Nfbt9EKZx1PC1da9qRoi2t1WqGyPO8+S7ttEf6hzlCNomxeY2R6MN2hFxtUvpWxZsr1Gsg+DG2Uyj5Jc7QBFM46Lmzj1XIJj3/wbgBMHlcRm2fqe2mhPpsjvnScMIA6ztNToW3RHxxbx11Txy3maHtUtKV1XLPQ9pm4Leh2I7nxYDvey2bUmbWi7XGzIe7R1g1D89c2oAML7QKRFtggR8UEVEfSQgvUj2e1ePw/n7sbAPDipzxELlzzU7Tjm57v3z/tBrx73i2YRKCrPPmYpR0Hr5ko2r3XeTcqlrWU6GFS0AFxGJovC6ZAZ452HGCZbRja8D1k2dPEgnGYWPqLZh0/tt6zje9ZrOP8MxYBUNFWSZr/vjCjWR1CJEhTtGPruN8wNJOCa7cn67jB7V9S9dijHb++8gtD6yiigcl6qPd47M+F7exun+dgy9A67rM/XAcW2gWi2R6/6xYH64RbtJ3o77zv6VuGdjwGRenOotBud7r41tFTAIBnP/ZA5iEJwwQNQ0uxlInd5ZMOhS8Q7+6m2bnELG0v1nEjRbsq/z1rtkHijrWinUfquFS0sw1DG76GTFLqOFA8RVskju9TCu3bmTwuSbKOzwdq+cgbY0W72fHi7Eo6x2nsFmsOy839uEfbQtEu+0sdj511+RV6tvOse1/fV5cdUseNi3uvc7TtwtCoaBPv6PZoh1y03X+qt/N+5nIj8fPlckm+AUOOGROotrHd8/VYCclhjjewMwzNZcb0MKmK9oIIJ3MrtLuahYpUtJ2s4+aFdkV5jfkOsCLTj8wY0FwwihT7XMLQqtmGocXtR8lhaGF7tNPHBgpiRXu2iqhRCEX7jKUGzhOFNhVtSZJ1XLRKzdo9YFsj2wGIe7Q73ciL88NO0e676DbterR9WMfbHtZYYqJP2uaGIITjxnaeNaCcC4c52qbPgc852rGirdujTUWbBKKVkjrekAWunx3OJEShfcZSsqINAHP9x5GF2ij6k+qVMurVchyiMwGKNuD3Qpw2Lkj2S1ne9AS6F944ddxB0TYcxSSY1SAc4o5p6riv+fPDiCJxXI+2DI/MebzXUgbjvahoj0Yo2nsX6zh/X6/Qvv/UdlCHwTQhFvPqfWK5IRxVs3WOdMPQVGeXjz7tluF1EwB2Lbj1aNv2JAPxhoBYQ7hgPUfb4zqz07FXtF0UXtse7ZrHcxAr2rqp4+LYnKNNPBOrEclviEZ/0RZF4QrN+0+PV7SB2NKVhUojFGQxCzfvBdpwoe0zYClNIfNlHRd2rrTid0WGofmwjptdyhaZPE5GYJo6vhhqjraRdTzr8V5DYWgZjPcySR0PETY0yRzrt2TtW6pj10JNjk1in3YPUQTWEhRtVwfXpCE36FIK7Uq5JMNnfWwSdgydQEBsHbcutOWmvvn3ijWDTQDYMKabDCEUVXXDII8wNOMebZ9ztEX2k3bquDh2NvdNFtoFotnZebNRUXeDQikkYtbnmUujC+1YpQn/JhABRqLwyttyOFxY+5ylHYekJF+MfPdo64/3yjZ1HFD682bMNkjcMd2hj9OLw6SOj1Omsh6HOGq818rE9WhnPyYyT46djq3jAKR9/A72aQOIFW117bPiYerFJCLGVenYmKUbx8O1S473Mtj0FtZx2zWHU4+2V+v4eLfoMCF7tCvlEkqG50OO97JQ911nd/udo62bOu5vtJsOLLQLRNLNRqVeKUO8P0MpJHGP9tzIrxG7UpvN8IskEWC0OKGKtk9rc6qi3VdBtlpd6+e/240gug4qKRd7EaDkpGgb9G2q0DpORmG6cFgKZB3XUbTVdp/QRFE0stAW1vGNZseqz08Ho9Tx/j1uuyCKthjvtXexV7gI+zgV7R5J1l6paAdsd8gDk5nOPt04NgWXcF6c3m7b2ZbFHG2rMDT7vuRhxIZ/TfN3D6Go2ha8gGIdb2c/3svrHG1N63jW63wW2gUi7QJcKpXkCzCUEpAWhgYAcxlax0/LQntQ0Z6UQtuntTltjvZSvSotWLZ2uoEREykL4pV5Yd1zULTlKCazS1k8S5uFNhlELLz0Fe2wYWg6inYmExqUTbRR1nEgXIqzydi1ONSyGO/vB5TUcQBKIBpnaQPJ1nHhwpi1Hu24RVCj0PY44qsjz7F+wbU8V5Pijo2qHUX2xaW0S3tQtNPcosM0AvRo20xgEcTqfvbjvbqRe/K7aep4janjJBTyAlwd/YYIvXDTKrRFGFoGiySxOBY3HLnRkFuhHc46PkqNEpTLJSUQzbLQVpMv03q05zyM97K4uQOx3ZeKNhnGvEdbjPfyrGinvF+BbMd7qZuPw4+pFyTZ+9ip7TAKoYly0ihcj3bvvrqP1vFE4jC0nT3aIQP88sBkprPYIPOx4SzWlyYFV6VckuuA1Q3zEFZxTbAQtBVFezas43JahlUwnL2V2rbQVs+V63kQ978GU8dJ3jQ1gqOEbTtEobm+3ZbjtCYlDE2oL8JCFWLsggkhrePCpTBOIXPt0x4otLWt4y6Ktt3NhT3aZBT2qeN+X0vb0oEyevEge5EzsI6ru/9Jatmyh8yFscc3WEjmPaYxa44NKdrCOn7nMSraQHIQrOzRzjgM7T+OrOFFf/NZ3Hzn8SA/v2WgrooQWJ+Ktmkw6W6H5HGn1PH+a8HnHG1d67hMvQ7Qo62rqqu4pI7bFvjqPcT1PAhBak5zo0NsQmW1EctCu0DknWIrgtDmaxU5ezbxMYjZsFnM0d4eVLTFonZSxnv5tDZvayhku0Q4iWUKqMksx9g63rIeJ2fbH7RQo3WcJGOdOt5sex2LqHe9FpuS2Sna5dKgMiiQyeOBAtHE+BqdPIa8xzRmyWazI69j+/pjM89Y7v19YqMZbFTnNDEudTxr6/j7br4Hn7n1GN77hXuC/Py0Ma4qPjcJWwbvTxWX5PE4ddy80BbXd5sAsGFMreNyI9CnddyhRzueo21+rZBTZozHe8Vf73qdNrWOq1Mpsrg+stAuEHrhOuEWbnKG9nJ9bCqiLPazmKPdFIp23zpey1cJEQq2CAnxZR2Pokjr+fdqHU9NHe8dq92NrH/P+OZuON6rQes4SaZjOJtdbNJ1I7/Xzbw3RofZTgnTFA6VUCO+TBaSeWdtZImwjderZbnZsae/YdrpRjjFWdqJ1vEVD2GcNhxa3QIQB9j5xqRHe8njmEuT8XsqYnPfZs3hkjou0tGjKC7YbWkbbG4A8fXJJnxsFLaiAzCYOm5aeJpkZ6iUSiVvyeNClNMutCvxc+/D0ZAGC+0C0ez05yuOuQCHXLjJ/uwxo72ArK3jQ2FoAUIqjB5P38oseu02PVmb1d6bxhgrqk/reNp1d6FekRdnW1XB9uY+zzA0MgLTUJn5WkX2CPpsRWhqLJgbSqtP6J35tJ5xUeSFKuxMrKlx1sbsv79V27jYwJ6rVeS9fHV9tnqQbZDWXtU6PhdP2chyQ+bQyU0A4QrtZkLC+ih8WsfblpvesaJt0aMtC23jbx3IkHFVtaWLQDd1XK4zJyt13KbwtO3RBtQNB7fzv22YOq7ew7JY67PQLhA6KbaNWrgebTlDe0x/NqCo6hkskjZkGNpQj3ZOabXSAtjvtfOlaKsLznEKmbjpnbS46QGDu6ppsxxLpVI8YsWysG9Z9oXF1nGqPWSQeOGg95oql0vy9eSzT9tE0QbC50qIxeSo+8dS4HApKtrJiIJN2MYFQtU+YXktnyVaCTOexesVyDYQ7dBqv9AO9LwIlVTHxrzk0TretlRURY+2Xep472+bIk99LbiqmvL1lescbTvRARjcHDFNYe84JL/76pW2TR0H/LoKRsFCu0CY9fwFVLRTCm3xGLKYo316e8g6nmNabbsT76yf0Ve0fSmu4xKDVVwVbaEclDUvuq72PZO+TRUq2mQUNgvGhQCztMXmmM54LyC8AyhtPKDYNAtlHTdZSOY9PSJLxAb2vsXB+6prG9AsIZO4lYkrlXIpdmFk1KfdbHdxX38ddCKwdVxvjra/65bcZM+wRztOHbfv0Qbs0rZVxDnXvWeEmONsa+EGBh+3aSCabQge4G/DQbRsiXynNHpCUO/f2x5dBaPwXmifd955KJVKO/788i//MgDg4osv3vG5//pf/6vvh0ESaGpcgMUFIISafL9QtJfmxn7dfC1DRVtaxwcV7TyUkA1loSzUCV89xE3lRjDuQuyyuwwAwoGle8NxnaVtu4u+6HGsCZktpKJtsGCUypBP67jGxmitUpbv59BFZVysjCi0A4ehtQ0W8iEWspPKsfXBxHGBULRtLLmzRmwdH3ztSkdVRor20bUtqcKubraC9Ie2NEJPBcLJ5yUMzTJ92qVH28W2rK4Z3BVt/c0NYDCMyxcuBe+Awmu46SAKfF1xRcXXeRC1gq51vFQqKbO0wyva1fQvMePzn/88OsoOwde+9jU861nPws/8zM/Ij7385S/H1VdfLf+/sLDg+2GQBLZzTrHVV7SzC0M7PdSjnacSIorqSrkkd3l9Wcd1Fu1APPLEVgWRox40d5iXG26Ktu1oiYX+AmOzRes4GcRK0fa4YBWkKciCuWoZ681O7or2UuAUZxNLf5Gs48eEoj1sHV/sXVtDKafTxKiRVytzNRw+uZWZon1v3zYO9GzPqxtNmcfiC5Me7UVPG4TdbiQ3EEwLvT0L9j3akUOPdrlcQrnUC7FsOxZ6otjU2dwAlB5tr3O07TcdKg7nwiWEzdeYM1PrOAA0KmU029nkM3gvtM8888yB/7/+9a/Hwx72MPzwD/+w/NjCwgIOHDig/TO3t7exvb0t/7+2tub+QAuIzsJtLmCIjG6hLcPQMlC015uD473kWJgcFmhikb5Qq2DeYxoooF9ou1rHRQqorhooFW3LhY64uZjOjpyXPbVUtMkgHYvNmxAOCbFgbqTs0s/VKv1CO7CinaKUidTxUEWLyQaIGhI360hFe6hg2y17tGkdb40oPpcD5woMc0gptIFef73vQttkjrav8V5qmJixddxhjnbHIXUc6PUmN9td477kYZqG1vF6AEGnbTgtYxhxLloZ9mi7zO8WRFEk731p90qVWrUMbLsdW5egPdrNZhN/93d/h5e97GUDPRTvete7cMYZZ+Cxj30srrrqKmxsbIz9Oddccw127dol/5xzzjkhH/bMomMpmghFO+CIsWE2hnq0c7WO9xfpC40K5vsXDH9haOlBeIAShmataJvtbsoebdvjdWwVbY73IsnYKNrCgunLNt3tRnLBnKpoB8zVUEnbrIvnaIcpWjoGPYjFUrR7hfbeIeu467V8lhhl7RUOLtvWJVMOn9wa+H+I5HGR4KxVaNf99Gir1mvj8V7zwjpufi7EYa0L7bL9/GgVa+v4hPRoA3FiumkCuG37HuCnxUfdrDBRtEO4CkbhXdFWue6667C6uoqXvvSl8mMvfOEL8ZCHPAQHDx7EV77yFfzGb/wGvvWtb+H973//yJ9z1VVX4corr5T/X1tbY7Ftgd4c7TCp21EU4YH+guCMIYvbjscgiswMreMLw6njOYyFkYV2veq9ENRpGwCAXaJH21IFkf06mjc+sdCxH+8ldu8NC+1+T/4GreNkiLig09+Hloq2p0Jb7VlLe8/KXI3QhXbKYnI5sHXcZEEnFlGFGO/Vn6M9fF9l6njMqCTurHu07x1StEM8NyZztBc9jfdS+1xNreMuinbXwS6tfl/bcbxX28BFAIQZIyvXQhY92kBf4W12jM9Fp2MWgDtwTA/F7rYiyOmGoQFxMGIWwcdBC+23ve1tuPTSS3Hw4EH5sVe84hXy34973ONw9tln4xnPeAZuu+02POxhD0v8OY1GA42GX3tNEWmmjGcBwqkja5ttefwz0uZoZxmG1i9kl4ZTx3NRtOOiP07F9rRw1+z33N3fXT652UIURcZpnsI6rru76brQaVkURYDSo01Fmwxhp2iLXke/4YWARqEtr5f5jveSqePB5mjru1fEZm0RrOPH5RztYet4v0eb1nFpbR7ekI2nXmSz4TpsHT8WQNGWG2LV9PeJrxBHF0V7t7LZ3u50jeZwy1Y1S2+uKPRcrOPdbqS0sJlZxyelRxuIN0hMw8HEl9so2j7C0ESdUC6ZCS5ZKtrBrON33nknPvKRj+Dnf/7nx37dRRddBAC49dZbQz0U0kerRzvQAuX+0z3L1MpcNdXeEdK+rhJFUdyjPWwdz2G8V6xoV+Rmw6ancxD3V44/96JHu92NrIoGebHX7dF2tI5bK9o1/+OYyGxgk2Trq9dRMDCOL9U6HsaFNOoxjQxD6wcbhhrv1bJQtGfdOh5FER5YT7aOM3U8RhQPw2prXj3aB3f1Jq+ECKqzGe+14XgfFC1c5ZK5sinWHID5hofLeC9AUbQdrONqf3q+c7TtxqsJxBrKfLyXXfte75ju50ENQjN5HdQ89IfrEqzQvvbaa3HWWWfhuc997tivu+WWWwAAZ599dqiHQvrkOUf7Ps3+bEAJQwu8cNxsdWRSphzvJSyHGfSHDyMK7fl6VVFc/SxaxSI8TR2bq5XlObDp7ZNWLkPruK2i0LLt0W6IjYyOfMyEAJaKdsNv6rha1KYtHmSmRVbjvUYW2m7BhrrHT9ssBGKVf9YV7dPbbXlehlPHXSy5s0ZbqrzDhXZ2PdpRFOHeE71C+zEP2gUAOL7u/7kxCkPrO3GaHbf05fiaaV5SVCtlORrQdFNIrN901xvD1DxYx9UiXde23Qgg6Lgq2rbjrtqGaz4VL4q2mKFt0J8NZOteDVJod7tdXHvttbj88stRrcbu9Ntuuw2/+7u/i5tvvhl33HEHPvCBD+AlL3kJfuiHfggXXnhhiIdCFHT6dON+P8+KtkGhHYehhS20hcWxVIrt6nKBloOivSkT0CuYk9Zxv1bUtDC0Uqnk1KdterF3VRRsZ0eKjQwgmxYFMj3IgD0DZWDBt3VcM1MBUMYhBr5ept0/Yut4mMLO5JyE6IGcREQQ2kK9Il+Dgt3s0ZbEfctD1vH57BTtta22vD489qAotLfHfYsVNj3agNsmoauaKtYcpmNFXVPHxTXexTquKqK6zjpfY61UhLJsY+EG4ufOeLxXx/65F9dy0wA2Faloa7oJBFOvaH/kIx/BXXfdhZe97GUDH6/X6/jIRz6CH/3RH8UFF1yAX/u1X8Nll12GD37wgyEeBhmiqXEBngvUHx0X2nOpXzvnOXF7FMI2vFivStVItRyKGY1ZsS4V7YosBH0tnsUFPa3QBmIrl00KqKnt1tU6bmInVVFDM2gfJyo2ivZSw3OmgsaECIG4Zoe2jrdSZsWKQnur1Q2yeDEptBsZ2enzRriOdiv2W4GYTyx6X4tMc6R1XDiqwhfawja+Z6GGB+2ZBwAcD+A2SHOeqFQrZbkmcOnTtnWWCXZbbu6LHm3L/C+pQDtZx5Xv1f39ZYE5SYq2dY+2+3gvN0W7X2jXzRTtECPWRhEkDO1Hf/RHE4uUc845B5/85CdDHJJooLNQmQ8UEnX/6X6hrTEzMqtZ1mIHV93VVefwNTtd+ViyQKjXi/Wq7CH2Pkdb4+a7e96++I0Lbb07n+scbdkfZLibWi6XMF+rYLPVYSAaGcD0NQzEivZpT5s2Ju/XUC6kkY9pxP1D9HsCvT7tPYvjp0uYIhLEdc5JURRtsUhMsk2qva+rm63UENJZZpR1fCVwUr7K4ZP9/uzd89i72A+qC9qjrXdPXGxUsd1uOm04dyw3vAUyT8Bwc184vq0VbQ/WcdVBoNsjHE9FCNCjbZ063u/RNk0ddzhu3dKurrIpFW2ztbqtVd6GoHO0yWShs9M5H6hHWyjaZyynL76ySoyVhbZiuVMXcVkH6Wwoo8bm6rGq70NZ1x3vBcQLNJsebdMbrlC0ba17cqyGxUV+kSO+SAJ2Pdp+x3uJolLd+BtFZnO0O+ML3VqlLN1IIZLHZfuLxjlpKGpF1s6kLJGbDwnX9WqlLF0GRe/TlsXn0Ht6ec5tvKQJ9672AmEP7p6XhWWQOdrinqhppfUx4kuGzVnGf4s1xwnDnvWug5oKxI/XTdE229gAwoShtRznaFct1X1xv7TZ7PChKsc92mavvRDPwShYaBcInT7dOO06kHVcS9HuPb5ONwpqeZMKcmNCCu3WzjnaUeRnw8HKOu7Qo62bPCoK7a1W12rmrYtdat5zHzyZDWSvm8HCydc8WsG2gaIdqt1nGB1HVMjCRV7DtFT+3jmJIrf+y0kn7Tlh8niPUQFhu+bdxkuaoCaOi1FsYQpt/WsHEAsNLm0vror2bscebUtBWz7ejlOPtvkmgxoC5msj0LVHu2bZo9116M/3Mke7HaeOm1Cf9h5tMplopY7XwxTaD/RDW3TC0FS7dkhV+7SiIAvK5VIQW48OqqI9r1w0fBSCJj2fMgwtA0V7aS7e5LBZnLctdpMF0p7PHm2i4KRo5xCGFvcjh56j3e/RHrOgFOnBQRRtkzC0an4bplmS1mKwh7O0ASiq44jU8VNb7eDOB1lo757Hnr51PETrksl4L8DPaMKWxeakyu753obQSYMNoSiKnFPHq5YjrVRMzzcANCr+NwLbjoF0Nct2Gxexw0evujrey+bYVLSJV1oaxZZUtJv5pY6rjy9ksSt2cJcag1EFWb4BBx9PHIZWKZfk4/Cx6WFjHTfdXQaU/lbNG1+lXJKLc5uecD+KNq3js8R2u4N33nAH7u0vbE2x6dEWqpD38V46YWjVbBRtnWvIUsC5xLaF9iyP+ErbQGXyeI9R1nHhqOp0o+DOJrXQXmpU5ebIcc/PTdwiqN+jDbjlS7j2B9so2mp9atuj7UPRbssNSHPrOOBvndnpmN+3VGxt9KZrPhVxztzmaNtZx8X7I4scDxbaBaHbjbQUiRA92p1uJMdY6BTalXJJvgls7MS6iBvLwohCO+sFmiiohQ3V5yztWPlI3/Vz6tG26JkSs7RtFG1xkTfZTRYsNsK4N0i+vPumu/A7H/g6/vjfvmX1/U5ztH2njptYxzMKQxv3XotHfPnfvNqW7S/p17BKuSSfv1lWtNM2P+JZ2sUutNsj+pbnamX5Ogndp31I6dEulUpS1fYdiNY0VFh9TExod9ys4zbtal3FgaDbqjaM2BhoORTa4nzbWMcBf9cnm/uWiu1McfH1uSvahmFoVLSJd9RdG63UcU8hXABwbH0b3QgolyB7k9IQi6mQdkhh1V5qDL5BsxxkryLUsPm+pdmnu2BcaM4wYnFmlzpubiETi3ObPjmXAJB5z8nuZDK4/tv3A4hnDJvSsXhNCUV7q9X1kithZB2XqeOhx3tpKNqNcCnOJudE/bqQm7V5k24dFz3axbaOy2Jo6D1dKpWc7j+6dLoRjqz1Cu0H7e6N9goViJY2hm+YeGKCQ6HtUGwBsfPCRNFWVWjLw8p1SsdD6rhJ+1qlXJLnypeiajpadZjYOm6qaPf+tinwfRS7YoO5YWgdn/o52mTy0C20hTrSURRwV4RtfO9iQ/si0MhAVT7d3Jk6DqhBFdku0OJwtt5z4NPanFkYWsc8gTKepW2jaDv0aPfPry+7L8mfVqeLz91+HID9+8ZGGVhQNus2PBS8Ju/XrBXt8YV2uDC0bYOcCSC/DdMsSXtOdrNHG4CiaCdsSMSOqnDn6L5TW+h0I1TLJenq27fkv9DudCNjl9eShx5t1/7geI62/rlQFW37pG3Ro+1uHTd11dU9BIENPA5HRbtqGYYm1mA2rgJxzrZdFG0ZhsbUcZIz6otJxzoO+LPUCguyuJjq0MhAjRA3lh3WcfHmD7xwHUYU2qIAFH/7XLjr9Wj3g0ksFG1x8zO52K84JL+2HfqSFgLNjCf58eW7V7Hefz5tnQodC3WmUa3IzR4f4Xom4YVztWyUWzm1Qss67rdoiaLIaLY4kF8LUJakvU6YOt5jnBtDKtoWG726iP7s/Stz8roSQtFW1Tn9Hm2x4Wx//Yit45Y92ha5MD56tMW6wS113DwMDfB/fZL3LccwNNvxXi6KdstJ0WbqOJkQ1EVKacxFqV6Ne5Z8WRG3DdQZgbCBBA1D699YdljHa+67bFaPR4ShDVnHtzwUgibPQaxomy8AbMLJlh1mabtc5IVlzsdGBpkMPn3rA/LfthsotuqMDwumwKSoFAuM0BuDske7Ovq8yELbs6Kt68hSke1Hs1xop1zXY0W72IX2KOs4oDiqAiraYoa2sI0DwN5F/0F1g4W2mXXcRdF2HS2lTjrRLXoHrePZjrRSsbGOA/4VVecebctwsK6DZd026VxFhqGZ9mh7OLYuLLQLgomiKQo836NqjArtanhVOR7vlaxoZ205FKFnsXXcXw+xULt0+lhEoX1quy0vorrYXHRXHBSFtsNYESras8cNtx6T/7YNJrNJHQdiC6aPVg+TKQFC0Q4+R1sGtI2+hoTq0Vavxbr3kbymR2RJ2obMbvZoAxhv712eC5crIIgTx+fkx0Shfcyroh3fr42t4w7XrXiWtF2RJx5DFOk7cyIP1vGKDADLdo42MFjo3XlsHX/8b99yal9wcfcB9qnjLgW+j/ae7Zaddbwmjx12rB/AQrswGFkRPRcgJotGQSODPmlRwI4a75WlEhJFkVRWRW/2Qs2fdVz8LnMGinYUmS8+bBRt0SNnZR13GCsyzx7tmWKj2caX7j6h/N9R0TZcOIiNG5+Ktk7CthzvFdiZobNZK90pnt9Tuq1PKlm0H+VNunXcPm9jlhhn781C0f7O0dMAgHP3LcqPSUU7gHVcDdtKI56jnd94L/V50S26fISh2dqlVWRbgqV1vNnu4lffcwve/LFb8Y+3HLJ+HHmljruEsPmwb8c92lS0Sc6YzFaUadeeFm7xAk3/jZBF6nisaA+njvf+n6USstXqQmzQinA2UQh6sY4bJDPWq2V5TlY3zRYBNhfdlTm7AKVON5LnzObmsuixB57kz+duP45WJ4qzDZp2kxNsFw5iweqjR9tkc1K0ukxEGFpg63itUtIO3SmUop3So11k63gURbIISVr/LFvef0z42r0nAQCPe9Au+bEQPdqmM7SB+D6YZxhatVyCcH/rvl9FnV0qYWw75Dj8KNp2rjpR6N1w2wP48t2rAOxycQQ22SIqtjZuWwfYwDHzmKPtoT9cFxbaBcFk4eZ7lrZpiA2g9EmH7NFuivFeI1LHM1ygqbYtcf7n6/4s/GLXT9d2udtylrZNkRKH0ZgdS915tQkAES0DtI7PBp/p92f/8CPOBNB7LdrsVrfH9HOOw+csbbPxXhkp2hq9iMvCOu45DM3mHiJDLWe40Jb39RF2ftH7ut3uFvY6N2CnTng/yTBOhyJnHJvNDr5z3ykAg4X2vsVwYWgmwVxig9BpvJflNVNQKpWM368ieNW2Pxvw1aNtmTrefy2+44Y75Me2Ha7h4zaTdLC1jnc8hKGZjhRTsQ1Da1DRJr4xCtfxbB1vyv5gix7toKnj/ZTvoUI7D8vhpgxCq0jFxqezQCramoX2imWhbWNfst1QUG8INQfruI+eWpI/n+n3Zz/r0fvlx2yuYTbtD0DsRHGxYApEy4xJGFpWc7THXUNChaFZtR/VsncmZU3ahsxyoyqvxabupFlhICAs4T4RWtH+xuGT6EbAmcsN7F9pyI/vCRKG1p+hbVFou2wQurRwCeKiy6zQrjgU2j4UbbHhb2sdV9s6XDYFXZRlwH7TQZw7m/Fesahlf+8S9z2dNisVEerJ1HHijXi8RfqLcb5fEPuyjsvEaxNFO4PEWLGDO5w6nqeirdrY47AuH+FKZhcj21naNmFoslAwvNiqN0cbu9SCR8cAyZfj60184/AaAOAHv+dMuehZt3hubfsNFz3MoxWYKNpzGbh/Bh7TuDC0OX/J60nHNllMZdmDlxdpPdqlUilOHl8vZp/2wIZsonXcfrykDl+9J7aNqxbnOHW8ZRw6Ogo7Rbt/H3Qa7+U2WgowD8YS12mHOlte4037klXE47W1jqu4bJa6p47bqcsuirbX1HHTOdqV7KZSsNAuCDap4/57tCcrdXxDpnwnK9pZFtpytJdSaPu0jsswNM2L0e4FN0XbqtA2fK7VnVen8V4stKeeG27r2cYvOLCMM5cb8r1js0llq2iLjRuf1nEdB8qcMgrRpifd9DGNG+8VKnXcTtEW95DZfX8LJWjcedld8FnaYhFfKiW/p20zQnT5SkJ/NhD3aHe6kbciX7Z3jHmPDrPoYSyha5EHmE97EZc6255kIH68PlLHba3jAPCUh+4F4Khod+zuW4KqpaLtEobWkH3S2VvHxaYbFW3iDXEB1lGVZQiXr0Jbw3I4TNyjHWaRtN3uyAvk8HivPOavCovrovJYvFrHDRWhXa492gbbzHOWVn1xrHLJzrbE8V6zwwe/3EtrFf3Ziw6bVB3LYJ94vJcP67iJoh2/p0MGoum0Hy034p5gnxuVVpu1RVC0NdxiIm/jREGTx4VaWSuXE0OzViwzQnRJCkIDeq9lkWngq09bBDuZFH3iurXd7lr3KudhHY/v/w6FtofU8bZGdkUS4ve94MAyfuSCswDkrGhLdX/aFG3L1PEMBTUW2gXBzIo4CeO9wha7qk1qsT7COp7hAk3YTecTreMewtBEH4umoi0KbdPFR0f0TRnccKUiZ1gktGRBZHcZE6r9A6e3vVn3SPasbjTxsf+4DwDwk096EAB1dJtNj7ZdsM+CB2VIYJKpsVCryPfrx791n/OxRz4mjeJfWMcBv/bxeIa3QRhaBq6ovNF5TqSiXdQe7fb4kCiRRxJC0d5otnHrfb3RXo978K4dn9+75LdP26ZHe0FpnbNptQHcii2BaeETh6FZH1I+3o6Tom2+uQH0CmwAeOWPfI8UVdx6tN1Sx+PpFaYtfL3juvRouyR/bxm6NeWxPYwW04WFdkEwKbR99646WccDFdpiEdiolncUajL9MkPLoVCtFxuqdbw68DkXtg2sqMCgHdUEGzXQ9gIvrFK2N/cH7Z5HvVLGdruLe1c3rX4GyZ8PfuUwWp0Ijz57BRccWAEQt4NstswXz/HryrRHW/Q6+shU0L9mlsslXP4D5wEA3vyxW4PYx6Mo0irqKuVSPE/cY+GybbhRCNhnP0wTOvfWos/SFq/bURuyokf7VIAe7W8cWkM3As5abmD/ytyOzwv7+LHTvgpt86KvUa3ITQjbfAnbEVcqtmFoNgWeoOrBPty0tI7/t2d8D2686kfw3AvP9jI5wnXEmtgoNt1sEWYAl9TxbR+KtmEYGhVt4p1tA0XA93gvU9syoKoRYRZJYhNheLQXoPRoZ6poi9TxndZx1w2PKIqMw4Rsk4yFBcvEzjVneZOxVR4F1UoZ552xAAC47f7TVj+D5M/7v3gPAOCn+mo24PbesU4dl2NyPFjHDTcnX/afzsNivYJvHl7DR77pX9VuKzPr0+4h4prqM1zKRtEuQtihjvNBplt7HCM1TUjr+IhzJHq015sdpzFPSXy1bxu/MEHNBtRAND/Pjc4IviRcgxy9KNqGPdpChHZJHfehaLctNxmqlTLO3jUPwM8423bH3E2oIkKBTV8DLkq6eJ02LfNFoihy6NEWinZ4NyML7YIwtWFogRXthcbON2c98LGTiIPZ/FvH1d9D115je/7FLrPJDTdWnuzGSthaxwHgYWcuAQBuu3/d+meQ/Pju/afxpbtWUSmX8GNPOCg/Lossi6LXtkd7UfZoe7COd8w2xnYv1PGSvqr9Zx/9jndVW1V80q7jywGSx23uIfL58LDxManoOB92FbxHW1jH6yPez6HaHQA1cXx34uf3ylnafp6blkG2g8qipZop8HEvNlUY49Rx9x5tl2KrZbEJOIwPRdt1s8N2s6XtEMLWUCZY2ATStTqR3HAxto5nuM5noV0QZGJsDnO0RciVyYUoeI+2KGzrOxXtfArt/kxvpUd7ztOGh/p76C7cbWeJty12N8UFstONjCxcbUfrOBAX2t+loj2V/L8v3QsA+MHvOQNnLcfWzAWHotd+jradIpCETWH58087H/O1Cr5670l84tv3Oz+GpMcDaCjafYXQp3XcJIVd4DMFflLRsfMLe/LJovZoC+fTiNdtrVKWr5W1Tc+FtghCe/BK4ufjQnvby/Fs+4UXLdVMgVR1nXq0zebex2nX1odUFG37tZ7IijE95yo+RjTarL1UYuu4qaJtX2ir1y0bC7faFmSvaLPQJp6YOkU7cOq4uKEMj/YC4mI0l/FeinXcl/VR2O9LJX1LWbzDatqj3fvbZrxX73j6v6urdRwAHnrmIgBax6eRbjeShfZPPenBA59bqIkiy2WOtqX90kfquEEYmmDfUgMvuuhcAMCbP/od58eQ9HjKpXTVSiQpn9r2p6DaBGpKlc6zSjlJmPRoF1fRTrdTh5ilvb7dxq39+8pjH5RsHY9DR/28RmP13rTQdnOh2G5OqpjOvRemHafU8f7jbbmEoVnO0VbxqWibtg0IlqSibdqjbZ84rz5Wm4JXPV8mm7Dq17NHm3ij2emHyRgU2rmO9wqcGCv6KJMK7SxDEgSbY63jbjdhNQhN12Zlu9Fh06+jvi5MCntax4vN5+84jntObGK5UcWPPnr/wOdc2i5slYHYrp5tGJrKK37ooSiXgC/etYr7Tm05P47hx6Oj2kjreBBFW1+18LnxManobMiI1HFffcDThs6c4+W+C8Nnof2Nw2uIIuDAytyA20ZF3Pt8BfY1LRXtJce2F+kuc7JPG1rHZeq4fYFb6T/eTs7WcT+KtluPtq2rwcVZUK2UZWq8zXpb1AdzNf21rYCKNvGOkaJd96toizfDRI33ktbxcT3a2S3QxGJQHe+lOgtcei7F72GySJXn33Cjw2Znu1QqWVnVfVjHhaJ9/6lt45nhJF++cOcJAMDFF5y1wza24DDTOla0zW6PtlkDSdhYpQHgrJU57FtqAADuW/NjRwXMej+XpKKd73gvkb/ho2fehCiK8MW7TuBbR055D9caRmcTe89isVPHWylhaEA8S9vniC/Znz0iCA2wDx0dhbSOG1435KQAyzwD1xnOwGAwlg7dyF1Fr/W/t+3BOu7yu9s6CFWce7TrdvPUXUPYxPvSZq1vE7QsEPeydjcKPt51p5xHZhKT+Yq+52g7KdqBit3TY63jeSjafYVd6RkXRXc36l1QTHtQBFvKrp8ucuSW4fnvWl7sG9XemC0zRdvdsrU8V8P+lQaOrm3ju/efxhPP3WP9s0i2iI2RAyuNHZ9bqNkXWbY2SJ9OIJ3e21HsX2ng/lPbfUV79CLf5vHoXMOXAhQtLtbxrMPQPvLN+/Dyv/0CgN75etTZK/j1H30knvY9Z3g/ls4G+pKjLdiFd910J+45sYlXX/JIp9AqF/Ss48LC7W8z4u4TGwBi11QScaHtZ63Ryil13DZ5W8V4vFfXfY52RRba7tZx080NlTkPrZKu9n11Lby+3cGuBb3fxyYAV6XeX/vZKMu2mQTiuIJmp4u5st36Wgcq2jnT7nRx57HwtlWThUqspPq5+NvY/nyMOxiHWHwljfcyveD7QARQJCnagNvi3WbXby5DRRuw29l33UkVxIFotI9PE6t9K6ywxqrMW+YbdJUxVsabRco8eNfUb5sebYGwqfpUtE0ez3LAMDSTQjuvMLR//8YRAL1MjO12F7fcvYq/+MStQY6lc17EhkPTcjHrwu//0zfxl5+4Dbc/kN+1VafFSGwO+RwFJ17/K/Oj9aw55ZrhAxNBRUVax/Mc72UYQitqY5c52qJAaztYx9sewtAaNbv1lorrc1CvluXrxuSa6Vrgu4zTjW375seeU66ZvkTFUbDQzpm//tTt+OE3fELOgg2FjXXcW4+21Xgv9wvPOOR4rwTreENYWQIdO4mNBEW7WokvfC4LABGGZuQosNzosLVziULbZEfXx80dUPu0GYg2TQgrrAgUUlm0tI6rykbF8OYtXsPdyH2TzuaaKThruafwHw1QaOuoNssBFFQ5ucJivJdpuI8rN9x2DADw9su/D3/2gicCAO475e+5EHS7kXy9jius1BGWWc4Ub3e6siXq8El/eQGm6PTQ+g6ABeJiJWkzXyA2tH20mwBm02VUROK0u3XcYbxXxS513KlH24d13NJFoDKnFJu2NmbX1HEgvlaYOBtcUseB+LVq4yC1bZUA+uvr/vdteHzfJ8FCO2e+dqjXx/Oum+4KehyTHrd5B9tlEjaLpNDW8XhudYJ1vJa9on1ivafODRcNtsqcilS0TazjtuO9LGcqxjv7+ue85cGuBjB5fFpZ7ds8dy/sLLTjxH7DmaDKgst0A2fQgWJ/7YiiyMk6Lgptn2FoJvePENZxm551Ge7TbHufKz6Ku49v4J4Tm6iWS/j+8/figgPLAIAHTvsvtNX707jXSb1Slq/lLPvV1cXrkRwLbfHaGXefmPfcLgfEr/+kEaICucHsu0fbWNF2HO/loY3LNIRWvKcrDoW2KI5dFG3bzQ2VhnLvsHVxxpk19o9jsW6+SSraBmwLbfG827htTEI6k/AZYDoOFto5I3qCbr7zBO5d3Qx2nKZBsTvveY62jQ0ydBiaUDkSw9AMd1ZdiaIIh/rP/cHdg+mkPvo+XcLQzMd72d38bKzj/hVtWseniZN9RXv3/E7ruFBonBRtw9dVrVKW3+PyflULKNMwNKAXiAb4VVFNFPZlWWj763e1UfjFojGK/PXApnFjX81+/Dm7sdio4ox+MN3qRsu7bVu9N447L6VSyduoSBPU3vgja4OF9gOnt3HrfacyeRw61l7fLj4gLlrFxlMS/q3jQuGzHU3oljruNN5Lqrp650Kkjru0/ou2M5cebR9qvmpjthWXfIxYW7JwgolTZ21ZdwhD05koMI44y4WK9kyjhm/801cOBTuOzRxtX4sTGaRjEcYVqtAeG4YW+NjDrG21pcXu7F3zA5/zsUASv4dJGJptOEfH1jpuUdi3PNzgAOBhZ/UK7TuPrWfew0jsWd0UPdr+FG11zIvN68rHxlhTs4AahVS01zwq2gb3jxDhWzap46rDIKs+7RtuewAA8AMP2wcA2D1fk9fCY6f9jtcaeJ2knBfZSpGhjV4950eHXosv/pub8Ow3fsqr62IUOtbxuRDW8TE5MMPH9ReGZjlH23HmvNzMcLgXm4bQigLPpbAUCrwP63jdcHNj8HGom7R2j0UKDw6uAmEdN1K0++fO1sIfj9ky3+xoSRHP7tgu00lMYKGdM+pIoQ9++XCw45ikxooFSrNjFvM/Cjney0jRFn3S2VvH6w49IzYINXvvYn0gDA1QreP2C0Vx/q3Ge7W7RrZL24u9zdzujge7GgCcvTKH+VoFrU6Eu49vOP0skh3jerRtWy5UZcNm/WbTAjGMSQGVRBBF28CSKudo+yy0Lazj5bKi5GZQYEZRJPuzn9ovtMvlEvYt9hwX93vu01Y3H9ISvedzCIZTizbVOr7d7uBbR0+h3Y1w17Hw19u8rOPi9T++0Lab7jEK2znarnkGPtRU03VX10OPtlBhXazjrqqqYM6xXVImv3tQtG16tG3XYaYtAyomYyeTWJCjjGkdn2nWlD62r957EncESuc06SNRiz0fIR3bFm+G0NZxEfqRWGhnPEf78MleoX32rrkdn/OhkG1J67i5oyAyDHayDSix2dlveZijDfQWw6JPm8nj08FWqyOvDUmKtlBoTBfOHWkzLVmNIxLXLRdlbEtRj20eg1C07z+17W0+aMtgo3ap0Xs+8h7vBaghT+ELzO8+sI77Tm2jXi3jScqYQGEf992nbeIykKPOMi204/eAqmgfXt2Syf7H1/2q/EloWcdr/kORxrnmBHGLlifruGXPqppnYIPP8V66yqYIXnVJHa96sI7LrBhHZ13D0d3Q8eDws3E2uIahuQhbthtLArG+Dh2YyUI7R6Iokor2I/f3QlM+FMg+btInrS6mXHd4oyiyG++lDJPveFosqkhFOyl1XLnghx5kDwD3rvYWIQd3z+/4nLhJuyxaY0Xb3FEAmG122PYriePZ9Gi7jvcCgIcyeXyqEGp2pVxKVIxsRzu5Jrf66PXc0FDCxnFmv9BudyOc2PBTyJiN9+oXt0HC0MxmnYqQpywKTKFmP/ncPXLjEIifj/tzLLTl+yFD67h6ztUe7XtOxFk04n0cEp3iU75vPSnaURTFPdqa1nEfgX25zdH2kTpuON4r3tS3PqTcGHBZY/qwjgMeFG2xHnLY7Ih79fUeQ7cbKT3ads+9Sxiac4+25zyqUbDQzpGNZke+wV940bkAgA99JYx93EQRKJVKXpRUQD8ZdRi1nzuEhXt9zG7z8CD70BwWQWgJivZK3xa75lJoW4Sh9eyI/e832GG13d2UCw6Dm0xbUR9deRiTx6cK2Z89X0tUfeOC12xciqsqIKygLoq2WOQkjR7UoVYpS7uyrxFfJo4oEf7U7HS9uYJsx50JRVt34ejCZ4ds44LgirbGcxKPu8tQ0VbO+f2ntqXqec+J2C5+3NNG0DhaGveJeeGA8aQsb7e78v6kE4YmvscV2aNt+D5ZdBzv5aM/WCqbmmsu2aPtwTruks3iI+0b8KlouxTaZunzHWVzyPZ58GEdty60M7oustDOkbV+KmutUsJPPOFBqFVK+I8jp/Dto/7TOE3HxcjkcddCW3nzmCiq6uIhhIV7XFBJ3VLNtSVOHN+paO+a7z0+NTTPFJswtFKpZDXiy77QNu9tdR0rocLk8elC9mcn2MaBwZE6Jtcw117DeQ/jeuQm4JixQGmc6XnEV9NgAa8+bl/28W2LMDQgXjiGHt/S7Ua48bu9QvsHhgvt5VA92vqTRPJJHY/PeTcCHuiHwd2tFNq+HBfj0FmM+56jrbYqLNRGb5ipzgeTDe1R2FppbXpzVXz0B8cFl6aaKqzjToV275guirarfVngMtI2iiIvffKLhkGW6nmzVdLFBpiNqOXqJpCp45yjPbsI2/iu+Rp2LdTwg99zJgDg4/9xn/djmSoCvsJBbIN9qsrsT9/FbqcbyRtqkmqkPs4sAtEO9YNizk4otFfmhKLtXmg3xtzwk7AZ8WW7qypSx00KlLif1od1vKdo3x4oI4H4ZVWO9koutOdqsSPDxD7uqgr4SC+O3TZ2ijbgPxDN5P6h2vl92cfFdWFSe7S/dfQUjq83sVCv4MIH7x743JlS0fZbVJq41BYtx925MHzORRaJah0/kUGPtrCOZxmGJl73S43q2B7igZGAHgQFW4VPpE1vtjpWRae0jjvci02VTWkdd7j9i9eETeK1oO3JOu6iaKtPmY8wNN3wSPW1Yj3eq2o/Ttd1hnlWYZkstHNkbbN3MRbF1Pln9Bb7JwL0LemMuFDxYYEE1N2+knFoRZw87rfYVRfeSdbxUqmkzHTMTtF+0O7R1vGTLop2yzwMDbAb8dWWN7/wc7RbHmZ3Cvb3C5MTG00vSfskLCflaK+dM7SBwfYXk8Wz6zxY2/nzKqIYGheilMZ+JRDNB6Ybtb5HfJlMzUh6HKELzM/fcRwA8OSH7NlxjoS74AHfirZBErtMHc8gFE4wfM5FINpAoZ1Bj7a4J41b+8zXzTNCxnHaYLNsziKfZBS2Pdqqs8/GRtv2EExquubyo2iLHm2X8V5+rOMuPdrqeDKX9ZAoPE9rvgYGp3Q4hqFZrLucw9Ay2oBkoZ0jonha7hdTiwFvhqbjUeY9hQTYjPYSiB0+39ZxcX6r5dLI89GohB0vJuh0I7kAGZ6hDcSji8SmjA1bFmFova83T37v2iraFtZxcXP00aMtlNEoctvUINmQpmgDsZppchN1VbR9hKGJjUDbHm0AOGulV9wNzy+2RdqUNa/joi/VxYkzcHzrHu1sxlp9/d41AMATztm943MTkTreyN46PnzOxYgvtUd7NQPruM5i3Pcc7XEZMKOO7WOWdqttN0e7UY2VdZvAPNcQScBivFfkvtEuFHiX8V7y9WU5Ykrgomirj98pddywhcCPot13Fdj0aLf1W5qSWOR4r9lnbXNwDmyc+Beu0NZ9QS7U/ISDmPaGq8Q9K54VbeUmOGp8jghjC61oP3B6G61OhEq5JMfyqPixjpuHofW+3nyn3faGO2exqeJT0a5WyvJ9mEXfIHFjdXN8jzag9qXqX0/l69dy80aoEl6s4w492mct963jnsLQTEOWRPK4rx5t20J70dAKacvXD58EADz67JUdnxOFtvfUcQOX2oLF2B5Xhs/5kbVtbLc7AwF9mYz30hg95d063j/Py0aFtvuxbRW+UqnktCnlI5jU1DouRFybEYgCOUfboUe7bekiGMZN0VZ6pXOwjpdK9mPWXBRtU6fuMPMZTWNgoZ0jQjlb6S9KFhwDKcZhWvDOeVK0bcey9L7HbdzBKE4p/VOjcJntZ4Kwje9fbiT2N63kFIYGxJsNRoq2SAI1bROw2M31MTdSZW8/qfn4OhXtSSdWtJOt44BdAJTra0pNO7dF3PRdrONn+Q5DM0i4BuLNY1/uEFvreBaKdqvTxbeP9KYVPObgrh2fP2Op9xpd3Wg5pRsPYzZHO5vQHxVxzvfKBPwtHFodfD1mMt6ro2Md96cqA3oztAWNmvmG9ihaDuqqSyBa3HLj0KNtuOYSidcu9a3YfGlbWsc7ynirWo6p4z6UZUCxjhsq2i7HrDmstW1bJQQ2rjcbCldof/Wek3jP5+7yMrPQFaFSikXJUiB7V7cbad1sVOY99WiLItlG0ZZzFX33aMuF7Oji33Smoy2HxszQBhRF20OhbbrZEQeUmczRtlO0pXpuomh33ZNOVfb01dEsVBbiRtyjna5om+xWuya3+lCnhAK/MEFhaCbBW0Bs6T/pqZCKW5DMzonrfGAdbr3vNJqdLpYbVTx4z87r+J6Funw9HfMYiGbSDibH2GSoaItzLkYnHjm5JW3jqnvIZPyeDU2NRGyhaDc7XS8ZHac1ZmgLxH12y8t4L/vCwzRxWqXt4V5s2qMdebCOVxwVbXXjzNU67qNHu+ygLAPKZot2j7Y4bnbPu4prj/Zig9bxIPzG+76C//H+r+Lrh9byfihxGFr/phMqIdVmlrWvOdqmCzQVmx5hHXRugg2HJEQTRBJrUuI4oPRo+5ijba1oGyiCYmfb8MJrU6DIY3no0QZi5YXW8clHKtpjC23R/pJ96rhbj3Z/I9DJOt5XtNe2vWwqm6a7BlO0Da9hMvckoGLxjf5a4lEHVxIXueVySc4199mnbeJSW8jgPAwjBIOHntEbnXh0bUsGoT3uQT3lvxv5ay8YRVtD5VXHbPno0143KbS9Ktp2PdqA4nqwsNF6maNtKG6IZa2LdVyo0FFkN+JLLbRdN/wbFjk1Al/uvnhjUnPEWv+h+hnr5qJoWzrQamHEzWEKV2iLG90kLKZj67hQtMP0k6mFtu4L0lcYmmkIm0oo67hOUInLm9+Ee+UM7Z2J40C8CXN6u2290+4chmZi57bcZY6TV03U835fmCfr+J4FYR3P/9pAxiPnaI8NQzO/ibor2u6LZnF9cglDE0nXzU7XS7HbMmw92tV/L/k4dqcbyYWkaQGRhZIrNu0fc3Bnf7YgRJ+2iZ0/Hu+VvaItRiceWdvC3cc35MdEYXc88FpMFJ/j1j6NajwO0Eehfdqg/cNrj7bDuCOXjKC2h0LPOgzNodBWN+lt7OPqWDDXMaPSQWijaHvKq1k0zHLwEYInzptNW41rGJq0jrNH2y9i0eWrF8eFYeu4aX+ELjazrH2lcNqG2AB2PcI6iBvJeEU7TJE/zGFhHU9IHAfiUCHAfuffNQzNSNG23Nm2WWz4uMirSEWbhfbEIwq4UeO9ALsZmW0Nm+k4xGJp00OPto4aNvJx1CryvuLDPm56HRfHXvVQaA/cv0zD0MTCMaBi8fVDo4PQBGd4HrcGmLnFspoXqyIV7TOX5P//48gpAMCD98zL925o0UPHTq2OA9xqerCOixyYOf1C20eLnIvC52Qd9zDeq6FYiHVcOHK8l0MVo27S2ySPi/tFpVxyXofI9a6Tou1YaBvOU+84bkwDyvNuM0fbsUd7XmZX0DrujSiKZJHla16iC1LR7gdexTM/wxTaJrOs5z0V2tuGIToqNoqqDjpBJZn1aJ8UinZyoV2rlOXOv23yuDh/prbLOAncPKDM1jpucqy2VCo89WiLMLQJcLuQ8YixQOPGe9nMyHRVtH2M94p7tO0LbQDYvxLbx12R1u0crOMuhfaCzD0Js5CKogjfOCwU7Z1BaAIRiObVOm403ivcRJNRiPvsvqW6DHy9+c4TAIAH71nIbGNTbFAvpLRiLNT9rHkAS+u4h0392Hli0aPtsBnjZbxXNbZx6/RMi95+l/5g9fHa9Gnr9P/r4qRoi/uW41pIXRPrXDPj+6V9KVlzSB03mbyQhNxYoHXcH1utLsRG2SQU2sPjvRYM+yN0MU2MBfz1aDsp2oGt42NTxzMOQzt7V7J1HIjt47aztG3D0OzGe1laxy0stz4u8ip7F6hoTwPNdlcqlON6tBctdqvbGjbTcfi0ji86WMeBeMSXj1nacZqx3vs6DkNzfy+J63+pZL6gja2QYe7395zYxKmtNuqVMh5+1tLIrxNW/gdOeQxDk4vM9NeJTRuFKxtK1sCB/v1NbLz0FG0RiBY2eVy8/vevjL7HAn5naVuFoXns0c5L0XaxT6trRB0bsRCgXQpt9Xpi05rn0hM/jJ8ebUdV3XCeuo/jxm2aFj3yQkS0tY7XmDruHXU3d5IKbdmj3V8UNDtdr73BNrOsvfVod+yKvN73BLKOa6SOu9hZdNlud6TC8aARijYQvz5s1aHYOm7ao21+/m1DOVzUc/+KNsd7TTLifVAqActzGj3aBkWWaS/yMD42KMUmQpoCl0Y84stdRY2dSXrXcTHf3Ieiva3kfJgGH4lrfKjUcdGf/T37l8a+Zs7s92jnrWhvNDuZTVyJs1AqODDUGpWVot3pRvL1P24zG/A7S9tsvJe/0WIuKcy2472iKHJ2AgGDxarOustH6ni5XIL4dpswNJ0Z7brEayDz11+r4+4oAHotFIsGLaw+rOM+5mhbh6EpG5Ahpx8UqtBWF1yT0aM9lDquFH4+rW42qvKcpzS+7ZZdkdf7njCp48JKNt46Hj51/MjJ3k77XK08VpmLk8ftFq3itW46R9ul+DUVmW3Uc183F8Hexb7CQkV7ohGjvVbmamOfexvruOu4EB+L5g0DNWwcZ674m6Vteg/Z7dM67mAPXAw8J/Ub/f7scUFogBKG5rFH2+Q5EQvKTjcK7tICegWIOM5ivYoD/dci0Cto9yzUZPhkyB7tY6e30elGqJRL8jkYhY+2D0HsmkvfmPKVOh5FkVPhsWCZZ6AWqC6b3tVKWRa9OusucVwHQVseFwBaDtZx1yA0QF0D5Zc6Dpi1sPrYYBFqdMviuuTqKFDFNh+tG6MoVqHdmhxFu93pyh0jUUjVKmV50/QZ3mKlaPsKQ3NQiOJwiBys45Xw1vE4cXx+rFIjevhtZ2k7h6GZjNxyVLS3WvqKSxy85jd1nIX2ZKMz2guwm5HpMocWUMPQPCjaDnO0AWB/3zrupUfbMgzt5GbLWSmIj21+PsQ5XG+2gyi5QtEeF4QGxIV2CEVba452Td3ED7/22VBe/wuNCg4otu0H7+nd77IotI/0beNnLjVSi4Ew1vHx1yj1uK7iT7sbydZIq00pS/eH2tvsuult0rInDuuSOg7EtueOVRiau2Ve4KJo+yh4BQsGLQQikM7JOu6hR9u61auazXWxUIW22nMQcvdCBzVBWk2WlnM/PVrdbHq0Fzzt7voZ75VD6ngtvHU8LXFc4GIdj6JYwTCfo22+AOhYJoGKC143GhyZMY6Wh6RTFWFlPLXdDj7WjdgjC+0xQWhAvFlo0p8re74crWi2180oipQebUfruEdF23QDQri0uhFw2tGdte1wDxHnMIrCuNhkENqDRgehAUqPdog52hqv1WqlLM9fKBu9ijhGtVxCvVLG/l2DhTYA7JEOonCtOsI1tj/FNg6Eso5rKNqiR9txTar2NetmKajYWscHFW23ksKk6JKp454K7ZbVeC+3jVkVL4q2h8dhMkvbx1gxlzZN1/NfLsfTBkJOZChUob0x0KOd70Ja2IAX65WBi9Oi5cVuHDaKwJynBE63MLQw1nGt1HF5wQ/35juUMkNbsOJgHW914l3u0OO9usqOuqmirW4C6C44Ol1/iZ9Ab0ND/KhVJo9PLGJk1K4xo72A+P1tsnB2taK52kCbna5UJ3QW6eMQYWhexnt1zIrduVpFnouTjpkHLpu184qS63ts5vH1Jg73C7lHpSraQr1tWc2LTcL03qr2aYdGLNIX6hWUSqUhRXsBADJRtEUQmmpdH4UvFx8Qv9aWtcZ7+bGOt9puBe+CZTK9OhbLl6KtU3TJ1HHHYwpHnE2PtlfruJOi7W8ttGTgbPDRo+00R1uGdNqf/4UMRnwVqtAeULRzto7Ho70GVZkQKak2xa6v3V238V75pY7HtulwGzKHTorE8RRF2yF1XD13xmFohj3aLhayXtBR79+67822x11coHfDFos/jviaXHRGewGxumyycHRdOM072kDVXXVvYWhr28626bjY1S/+fY34ctmsLZfjcB/fI76+0beNn7dvIbWffs9CXV4Tj532c20xmaMNqMnj4RXtjSHX2P6VBEU7Q+v4gZTEcSBMj7ZOGJqvOdqqCmxTcMUFltnv3+66HVdFChw6PdpS0XY6ZKxoWxR6cn74hPRo+5jAEvfq6/Ro+xvrZiOo2bh1h4lHQFLR9sJEKdr9omllKDV3sWG+OEzDdAYq4L5gFNjaltXv8V3sxqnj6YW2Td+ILkLRHpc4DkDOILVZsKrPn23quO7CoxvZF9qlUsl4c0Pe5DyN9wKU5HH2aU8s4n2Q1qO9YLFZaDrGahjXPk9x3Z+rlZ3VIWEd32x1cMpRzd2yCLX0Vmj3XUW2SfChxmbedv9pAMAj9i+nfm25XJKtKb7s46YhcaGD4VSkot0/9wd27VS0sxjvdeRk71zrWMe9BcC2O9IZo1doe1K0ldeDaTo/oIo8dj3alXLJ6rgqdYN1V9dTX7Ls0bZQtONznm/quBQdvCja+q8DHz3aLqKedKC5KNo1c+ebKYUqtNWAsbx7tE8OzdAWhLSOmywe531Zxw1mfQ4T2jo+LhHUxMJky93HNwAAD9qjqWhbWMfV0V6mN0HTHnlV0ba58JreaHzapQTxLG2O+JpUdHu0bayyruNCRL9lpxtZKSRyE9BRzQZ6yoRQMV0D/rYtFO3d87330qon67h1smwgJVfcR9I2fAQyedxXod0224CYD5D/MgpxrsW537tQl32UQtFWx3uFGjl2ZK23ma2laHuyjp9W8nd03scyDM1Tj7Ztv6rtHG2fQVxG1nEPc7QBJfXaYY527qnjHnqlBULsO23Qo+1i33epNZqOmSrq8UNeFwtVaG8oJ9J3krUpomgSidKCRcsRC+OwWah4s463XHq0/VvHB8KGxo73Cps63mx3cWe/0H7YmUtjv1aO97JQhlyChEw3OtTUTpubnwyF0VW0Pd7gBSKgh9bxyUW3R9vGOu7co11XsgYs7jHiseooYTqIa4drsWvjTFrxpGibWqSHEVZI3z3aopjUtfjLQDRPI75Mz8tiBhZJgTjX4tyUyyX856echx942D7Zzy6s4+1u5P25EYgwNJ1CW2xKua551P50nXtTw/C+NwrXflXbHn4xS7qWcaHd8RSGJhRcNaBYF3HOvc7Rtrhv+FS05evAoEfbSdF2eN/5CKNb8CQqjsPP3XxKGFC0c7eOJ/doL1iOWBjHtsWILdUCGUWRtSXIy3gvj8XudlsNGxpnHQ87R/uOY+vodCMsNarYnxLU4pI6LjY6GjVzR4Gppa0TuSnaDcPj+RytIVBVFjKZ6PZo2yycXXfIe7bNXsr1ZquD5Tk9tVOwoSzSfbBrvobDJ7ecit12pysXVHMmivaC30LbZrMQUOfC+s76EC1IeudEBKL5U7RNe7Ttwq5sEOdavcf+9vMePfA18/VeYN5Wq4sT6y3j94oOR9f0reO+erRPbfde72l9+wJf1vFm2+1+uDg0Ck93zedV0TYYqypsy663f7G+WnMotL0q2hZrTh+hZIJFg+tEJ3I/rmjxana6aHe6Rv3uLcP2mcTjZ9BSU1hFe2LC0IZuLrYjFsZhkzo+ryz0XArdpmJdNiWEdVzdOR9n6wqtaN96X6+/72FnLaXe0OQcbYsbwXaG519YuUslOyvRRCjaC+zRnnS0e7T77+92N9LeMHNdOJVK8bgQm2yJUIq2S7Grvv9NFG2ppm+6vZdcwtCAMJvXgIWiLWZpn/JzbZEBddo92uHH2AjWNcdbhQxEO73dlvd7HUXb1xxtsQGjX2j7KfBdiw7xeKPIrOjwueFt06PtqmjL9ZXFNbLt6IBSEa+DZrtr3Eoh2+g8jvfSsY7Hira7dRswf+/5sO7HIZEstL0wST3asXV8SNEOmTpu8GKcUxY1Li9AF9tfiDna69LSNt7WFSrxXCAK7Yen2MYBZcfVIQzNqtCumZ0DET5asbzxme7stz3atgR7GYY28cge7dRCO76B6/bnuoahAW4LdvX65IO42LUvtNX3o8k9xKXlRcVmo1glVAiYWE8saj5XokfbexiarqKd4XgvcYy0TYiQUx6EbXy5UdXauPLVLmeSOA6ohbYn67jl/XC+VpGTP0xcDz6SpwV1Ayeh7NF2PG6saJtfp5oe1yDqGs10zRvPs3Yv6UR2kY513EePtjpxxvS913RslwCUQps92n6YpNTxk/3U8eEwNJMZdrq0LOzb1UpZLqpcdnhdZqBKRdWj+0BnhjYQPgxNFtpnpRfau/oFxXa7a7zrLYrkORvreNVMmXO94TYMQ2F87KYOk8XIGeKGsI7vmh/fo12rlOWiU7e4cO3RBuJNSrsebTM1LA2xGeFS7KojGk0WVOLYzmFojkrdgkWvvg5iYbag+Vydsdx7vR5bz8c6HioULon1oTC0UYhMjNUA11sxQ1vHNg4A83X39Q4AmfBvah133dR3HU1YKpWsxsuK+7AXRdtkvJdUtN2O6TI+1ad1XF2jmbqhfPRKC0wyLXwct1QqxRNCDN57URQprV4uPdr9DciALudCFdqTNEdb9mjPDYWhNfz3UdkWu+IG4LLD61Ro1/wXu7q2LnnBDzTey6TQXqpX5Y6f6a6rUxiaaY+240XXdGe/5dEuJaCiPdl0upFsodBJe477r/Sup66LVQCYq9srVBvbZnbkNHxax02vIb7Ge7kEagJhJnkAqqKt91z5VtZNC+35DHu01zU3IeJWHf9THkyC0AB1pGnGira3MDT3gnfRQuhpeUy8FtcYnQRwYa+2ddAJXDJwfNrmq+WS3DQwddwGGe+VUY82EF+bjFoWlCk3DYupRgJfIYjjKFShPVmK9ojxXpazDMdhG0gmFnsuNx6nMLSA1vG03rGGQ59lGt1uhO8+oF9ol8slLDdEH5HZ68JmLI/A9PzLHWbbQttQCex0/N1cBAxDm2xUZXb42pmEaf9Vy8O4ELFwdrGO6wZspRGnjtu/nmXOg0F/tnpsX3O0bcPQ4uLB70JK9mhrPldznqzJAtOWsCx7tDfkhrZej3YIRfuIULQ1C21fPdpivNfynKl13LFHW45xdSi0LdafPtVUm9Rx19ndcQaOvXXcRVEVlEolJXncVNH236Otc52QOTmOz4Fwk9iM4gTcWr2mcrzXa1/7WpRKpYE/F1xwgfz81tYWfvmXfxn79u3D0tISLrvsMhw9etT3w0hEfRInZ7zXiDnaOY/3AvzM0pZqhNMc7QDW8RQVIqSife/qJrZaXdQrZZyTMkNbsMsywVe8zk0XycBgGJpOOIcvRdt0brdP67hUtGkdn0hEr/FSo6pVDBsX2h4WTi7pxesJac0uiBFoTop2y26zztdoMRdXFGDuatBlw3Dmua9Ua4HpNJGFAG65UaxrBsXt6d/XQrTqCOv42brWcU8bIacNN8uEc7DdjWTuiA1xGJr9tcvGUekzK8Vk3SUETVc11SUDx/fkkzh53E7R9tGjLe6ZWtbx/vNUcXzuF2rmol6rHa9JvYShTZt1/DGPeQwOHz4s/3z605+Wn3vVq16FD37wg3jve9+LT37ykzh06BB+6qd+KsTD2MGAop13GFpfmRxOHQ8y3ssykMzHDrwXRdujqryu2T9VDxiGJmzj55+xqD3KwDawY8thkTqnFOc6xa+rjcg4DE0U2h6t43v6hfZWqxvUSkTsiPuz9UYBmRZZskfbQRVyGdezodnbqouPYtdmhrZ6bH9haJaKtuzR9h2GZhZcN+9JMQUG+xPNe7SzC0NLTR2XDqJw1nH9Hu18w9AAu9FOAh9tL+L50kmcFvgs8kymvXR992jnPN4LgIOiHcA6rlNo92td1+POWVyb1M0Yl+OLjdKQ670gc7Sr1SoOHDiw4+MnT57E2972Nrz73e/Gj/zIjwAArr32WjzqUY/CZz/7WTzlKU8J8XAkqnWs1YmMZ7b5IooiufjYtTAchuY/GdR2oTIverRzCkMLMWJLNwytYWBhMsWkP1tgu+sqFG2bMDRVwdpud1N/RtuxV8s0/E7upHu0ji/WK6hXymh2uji+0cSD6nqOA5INq5qjvQTzhjdwLz3aVQdFW87RnpwebfF7mCrau/tq+qntttO91jkMTVohwyjauoW2r3RpIN4QAvT7E7OYFys4rZk1EDJ8Uijapj3aztbx/u++rFloq2ujrVbHOgjRS4923fy9IkJQfdinTazjYo62a+q4uEaesrhG+nBAqbgr2h6t460Out1o7PnteEqctwlDU8fZubQPzGcQEhmkyvzOd76DgwcP4qEPfShe9KIX4a677gIA3HzzzWi1WnjmM58pv/aCCy7AueeeixtvvHHkz9ve3sba2trAHxuGT6TL7qEL2+2uXDwMh6GZ2DZ0sV08+rC6CUXYRdFudrpy99KVSSq0H2ZQaNuqQy5haLVKSYaw6Sj7ringUgnM0TpeKpVkEi77tCePk5qjvQSmKp4PhcIlDM13j/ZuD6qy7TVEvbfZqEXy+K5haAFGZkZRJK2Gusqlj1YsgarmaCvageaJJ6Frq98TMHzyiGGh7a1H21DRLpVKcYHlcGwf1654hrKJddxfkVczSh3v/e1tjrZFj7bY3PAl2E2Coi2uE1GU/l7w1aMdB5KZhPD52eSYyjnaF110Ed7xjnfgwx/+MP7yL/8St99+O37wB38Qp06dwpEjR1Cv17F79+6B79m/fz+OHDky8mdec8012LVrl/xzzjnnWD22YetYXsnjQl0ol3ZamJcC7L43LYtdHz1LTnO0FQXVV6+0WGSkBZWEUNMFt95voWjLm0F2YWjqAkDnwt+RO8zGhwJgHgoTwjoOqEm4LLQnDWEd350y2kuwYKjQ+Lh5O4WhNc0W6Wn4mKMtw9AMr+HVSlnez5x6xDtuPdqywPSoWGy3u3Jxq61oK5u3HceNY7UQ0e7RztA6Hr+O08LQ/PTxD9PudHH/qd4Ytf27Glrfs6BskLls7Ou2p6n4cDvEY1w99GjbjPfyaB0XAYjj8J06vrbZ1sqiUfFtHbfdcBGPw8dmx3ytIu34aZtyXU9rMBvruDz3Dm1egLnrzQbvhfall16Kn/mZn8GFF16ISy65BP/8z/+M1dVV/MM//IP1z7zqqqtw8uRJ+efuu+82/hmtTnfHLllehbYc7TVf22F5WJAjODreVFxp3za8GPjY4XWbo630CHvq0z6tudMuClPfinYURbF1/MwMrOOWi2RBHFCWhaJtWGgHsI4DSvI4A9EmjtXN5BDJUcwbBp2IgBWXOdoiQdWuR9ssYCsNofxvNDtaI3OSkGFoFu0nPlLP49YnO5V/MUA7lvqzdG3+80pB7rr2EOekUi5pL65DhcIlsaEZ6ic3NTeaxkXOOB443UQ36t0bzljUK7TV58dlg/20VaHtrmjbht6q2Mxab3m0LZs4CePUcbdjintJs9M1ft6Fbd4lgE6lYRgIK/CpaKvz1NOcDb4s6zbW8W0Pr3cgmx7t4A3Ku3fvxiMe8QjceuutOHDgAJrNJlZXVwe+5ujRo4k93YJGo4GVlZWBP6aoN8Z5j71SNpyUM7R3LhbVi7MPixlgH0gmzpPtAiWKIqcwNHWuoK9QMl1rpni87W7krD6oPHC6iZObLZRKwEPPXNT+vjiww7RH2y7ISBDvsKa/V4SFzPaaa3Ksbjfyljo6TEg7I3FD2Pn3Leop2ouGAUc+dsl9jPfSVUnTWFbuMbaqsljQzFmcEx894q5haOJc+rRMi581VytrX3/mlI0C13u7TVEVwkI/Ct3XsbjWNttdb+sdADh8chMAcNZyQ7uH19fzIzfzLRRtl3WOnzna5tZxn6Ol6kbWcT9F3mI9VnBNhYxm26913FbR9hlIB8ShzGlr/45367iJou0n8X1hWnu0VU6fPo3bbrsNZ599Np785CejVqvhox/9qPz8t771Ldx111146lOfGvRxiJNYq5SkbTg3RXsreYY20Ltx69o2dLEOQ3Ps0W51IohNapuB8j3rst0O3yhMU8cBv6q2ULPP2bNgFFBmu2AVN+45SzXI5PyLcJIsFO22svnhO9Bw7wJnaU8qxw17tOcNiwsfYWjiumnjwlm3WKSPo1KO73e29lwZhmahaO+2HEuo4pLzAdjNBk7DxnlQLvvpxQVia63JORGL582WP7dcEm1FGUw7PyJ8EvC7sSmC0HQTx4HB58et0O6PINScow2oAYru1nGXTUKTxOn4uAHmaGu4b8Ta0rVHu1QqWQsZwVLHbRVtT8q67oaLrwLfxTruMiEEUOZoT5Oi/eu//uv45Cc/iTvuuAM33HADfvInfxKVSgUveMELsGvXLlxxxRW48sor8fGPfxw333wz/st/+S946lOfmlni+EK96mX30AU52mt+54VYtW34euKbHTs7pGuPtnqxtFZUa37HbJmGoQGeC22L/mxA6dHeNOzRdlS0haVNJwnc1UZkcpNRXQa+reN7OEt7YhEW5L2airbcKW9l2KPtcN303aMNuBe7LoGKPhVt6znaQp3xWGDK0V6GoXW+ZmnbZJ+oRa9P9XgYdd2Sdn5KpRL2LfXey2Iclw/Ez9INQhP4GPEl1ppZW8fVFGZb5HhZg9+/41FNNUkdF8d1TR0HYnep6XXKZ+I64KBoe9zsAPQ3XHz1aIs52kap420/515cF31kZ4zC+3ive+65By94wQtw7NgxnHnmmXja056Gz372szjzzDMBAH/6p3+KcrmMyy67DNvb27jkkkvwF3/xF74fxg7U+aTxRS1f6/ioWbALjQpObbcnRtG2vSkPBLZYXvxN7MQ66PZPVcu9xO0oAj7w5Xux1eri3H0LuOQxo1scdLjNYrQXYD9H2yUMTf0+k7mW9uO99G8yra4yQ9FzGNreBZE67n+2K3FDqF57DAttXUW7ZbkpqWI7oiWKIkUp9WMdB3r3mbuxiZObdhtHLjkPstB2CLtyaT8C4mt9FPWeEx+j03RTtYfpKZctbDbd7mc21vG5Wlne09abba+bOSqqe1DnvvOYgys4fHILt9y9iu89b6+Xx3BkrR+EZlpo1ypYRcup4LXp0W54aGdsetgktFG0257Sn4H49WzioPNRW9oKGcI6nr+i7TevZkFT5RXiiqurQOSamGxw+XCf9Y4dX6M2mu2BditfeL/Svuc97xn7+bm5ObzlLW/BW97yFt+HHotUtBtV49Al36yN6dEGhJqx7bHQdkwdtzxPYoFWLZesdx1DWcfTFhkicXur1cVr/vHr/Y8BN/yPH8HZu+xnK9sEoQHu1nFbNUimjmsUDb4UbZ3xXp2Oqmj7NeZMSo/2J799P+45sYEXXfSQXB/HJCHs/MLen4ZpAFS8S+5uHTe9vwwkWftUtPsJ7e6KtkUY2oJ76rltmKdgrlqJC8xtP4W2VLQNN0R8jfiyUflLpRIWahWsNzu9jYJlp4cwEtNZ8E88dw8+8s378MW7Tnh7DHKGtoF1HHBf8zTbceiuTY+2k6LtoeizabPwOcPZZo62a38wYC9kxIr2bPVo6264+Aphm7cIJPPVo92o9tp1u1HPuh6i0A7eoz0pDCjaHvphXDiZkpwbW8c9Fdq2YWiONjfXEBvArNDTIQ4qSV8gXfG08/Hws5bwlIfuxXytgigC7uvvlNtyqB/Scs7eBaPvW3Gdo+1s3dexcrntqprY1IWiXSr5D0ObhNTxdqeLX3nXF/Gb/+9r+Mahtdwex6Qh7Px7NAvteHawYY+2lzA0s/uLuqhZsOiHHoWrqizaT+YsriHDG4TdbmR8P3G9j5TLJXk+fQXebFha/H3Nara9p4sNHJ+jzoZR11o6POncPQCAL9656u0x3Heq36O9opc4LphzDIBV38MmrpQ5SxeMSl5ztOV4Lw/Fpng960xIEC5fH9bxXZbrK1+znAWT1qOtW2j7Sh3XnQ4C+GmVAPobkHJDPoz4WqBCO95lbXjoh3FB7JqtjAjLMF0cpmE79sH1puPaWweYFXo6yDnajfRdq//fJRfgI1f+MN7ziqfiIft6hbHpjuf/196bh1t2lWXi7z7jPXeuW7fq1lyVpDKQeSQkQAiDSQAZlFahUUBRWgVsHmx/3dFu0fbphxbR1gcRaB8EbVpB7Y4GB2jAMChgQshAQshUqaTmIVV153vG/fvjnG/tdc7dw9p7fWvtW3XX+zx5kty6dc++56y99vq+9/3edxB02N0wkq5rFnRc02U90hrPaoYWNKVU4r26/8764EvT1eeMsxjEWsjRfuzIPOZ7a/Xhg2dyu461hOVGWzRHVe+f0RSFhZySoHNwytqgDJ5RRZbDI2FcM0s7UMVkMEMbYNN/8/OP4vIPfFEoe9ReX79hO5yhgIhDwNqmZLSZzh5Zmw8jGUyH0oLeY1VVxlU7J1AseDg6t4LDZ5ZZriGYk073nNWd0abfvVYupjLp5M3Rzn6fkHHi/Ep6MzRWRluh0G4zyZaB/vNVGpCKgEtVp89oc0nH1UxEW2yMNt13adYdjxkaYN55fB0V2kGsUyBRzafQpk0sSqLA7ZKateDNahBB4DggCek4g/qg3fEFk6DCaMug9yLNA2gQvu8nzudHvn5vhqjd8VMZldhktFu6jHYKpUlg/sG/hW3usSAnF+q5NePu239K/PejjtEGECgMykVPef4xDUPT7gQpCTpd8qzGRoEcmXeiS9cMbUXDUFFm0+dXmviL+w6g1fHx4IEzyj+joekzAQQNF64CM2Bt031WXGZoWZvnppkbQJ5fV/u8hislvGBrV8fOJR/P7EujKeFWNVsdBEuONkOTcCKD+3ab0RCsmiLeS0jHGY4AwYx2SsVgW59MkqHNaLOZodGMdhKj3b1O3cZwlpGaeotv3WWJF0uDdVNoy3NDeedoJ23GQrbB5Tqece5wuucG+vxCVhOdtSUdlzeNtA9C6vSm3YhlLDXaogOYttCulYtiQ0lzDcJ1XNcMTSXb2ted0VaXz3F1UsOwabSKyeEyOj5SMW+cuP/Z4MD5yOHZXK5hrUEYoQ1X4CmyGGnMfZrS3L+ODDKNCkRG4B/BJxsH9J2/WczQlpv48mPHxLMozR7GMYLEnaUdeL6k+6zEWIHmsz2rdJzW1hJj1Nkgsjjnc8vHGxllpboz9EIxlyLaC5AKLC3XcX0JdxB921FOWzHCaKcyQ8tvRps+r6xExiDEeTflOiB2l4vRThvvpXsOG86gnuWMVqsxJz0NYt0U2kuSeQlH91AHQZZz+EM6kI7nO6O9cbTL7D2/kG0umYOJCApt/aYIvZ8lKS9TFSS/1GG0SbpZKRZEs0cVnudlehhwmaEpZVtrPnDTScd77Dmz4zjQfa8vnukyLI8fnWf/+Unwfb+P0X7syJyx2Ik0ePzoPD78xcdZ84jT4HTK+WxAnjVLXlOyXFGr0K5ka+QuZnSyTsKk7oy2xj4us+mff+iI+HqqPYxBIjjCzORmZbSHmMzQsjaxTR8ogf4xPVWIQnuNMNpZGyHzGZtlaYxAo8Bh5CgrheYV79GATbUb70XBIyyFtpjRTus6Tv4VPM3RtcNo9/ZLxXgv3QJfKH3SFNq03hnUBCMZpOtpsG4K7UVp8+foHmpdS8L8EKcZWqfjB5E1qQvtSu862pkePFm7yjI4Xcdlx3FVRowQzC5lZ7TpoDteK6d+ffp78s9RgW68V5Zs66ybvSxTT5pDD7roZrawi7f0Cu1j9gvtA6eWcXy+jnLRQ61cxEqzg30n8mHWZfzelx7HH97zFP7yOwdyef3TGfwNRkRMSbK3QbOv0NbI0S5lK6bk8SZO6DPa+jnazy/W8Y0nT4ivqx5ofd/PLJOWMczcvKbzRC31jDav63ja92TE8CwikE2ZQYX2o4dnWQiQrONyup+P+N1Tx76tjRztUrEg1ogqqdBkjJZKNaPNyWiTdDzl+Y4+Ly7p+FpxHa+ljPfSNkOjfSmVGZp+FCehZti7Yt0U2kvS5s/RPdTBQsKDaDhDlmEU5A0rbaE9Vi2JRfz8YnpWmxoZWtLxsnqHMwn04EiTb0kQ0nENRjuYz87GWImua4prEGZoWWe0U0j3dR981Azw/eQHbeB0ys9oA1KhbYHRnl1uijgaAPjOs102+4rtE7hs2ziAtTGnffhM9xplWbtNiGgvxQxtIGC0fT/58Cw7yGZphBGyzuGmjUVSxYSuGZrYQ9I3AGjParb9Pmm+6oFW5/klg9v3ZCljQcU1tpaVsVU1OdJBlnW8c6qG6dEKmm0fjzKMyuSVtLKwkk06XtWcDQfkxAS9Z+J4yjltitosMjyLyylytH3OGW1SC2ZNddFQbcpYK67jql4FXEx6FuNlDk8CwrArtHnQx2gzdA/1riW+4BsVc1QMnV35oJJyR/I8T7DaWea0sz7sZLDOaKeI9hpE1hkeGVmN0Aj0906ncMPWfRCkke7rbvZyMyDpIMo9kzQIko4/YYHR/vGPfwuv/N2v4dnnFwEA9+3vFrLX75nC5dsnAACPHMp/TpuaAQ88dyaX15dntFUxXOlmKAPJ82YcObSAvhkaO6Ota4amwWiPVUuQb9HtkzUA6gdaucGqwxqJcSw26Xi2GW02MzTNGW1TEkkgfbwX0D1rXMM4p62btKLrOp419o3DdVx3/wr8aNTWCLGaZQ7peAozNDpv6DRFCeMZVT86ap8w6DLaXNLxQPWrRnjoMunUlGu0Ospjcpwz2oFJpJOOa0GW5XF0D7PC9/0+CXMY6EPniCJptrIX2kDAHmWJOmKJ92J0Hc/6EAQCh3idGe3Z5e57OJmiUJCxdXwIAHBkdiXhOwPou46nj9zKymhXigVRFCWNdXBmd4bhoh6jfWR2JfNsqwpWmm08fmweC/UWPvz/ngAA3N9jtK/fvQGX9hjtvA3R2h0fJ3teDYfOLIucWpvIMqPteZ7EZsavqQbTg5uk4822j5aCBJJgakZblo6niQYk6Bj+FAqeOMQCwFteuBNACkZb8/lFGOZmtBvZPitq8muboWV8tg5bmNHOYoYG8M5pZ2a0taXjNBZo33WcwwwNkBNW1O5RShvhaHpXJel40l5F9Vgxx3gv4YHDZIaWndHmJR5oPSbdB1yMthyTqHrvmYn3coy2FmQ5k+ha5uA6Xm91xIYY9SDijCKR5RVZLPjJEO1kBkM0jm6fCTM0Lem4huu4LqO9rccGqWaNttpBd1DXDM3GjLbnecoRX5xOp2EYHypj20S3sfHEcXOs9on54L76/EOH8Y0nT+CJY9157Ot2b8Dl27qM9qOH5zIVSVx4frEOudH8YA6sdjCjna5RpWouydUhl+d204wnLWUsUJJAjb1Gq5OJMdM1tSQztit3TAiFhipbpvv8ItQyGtRFYVEyV00DLjO0tTyjvZRROXbtrkkA3UJbZ6+T5/rT3su1ilqBEYWFenePSl1o03NPxwyNYUYbyCAdZxzjoqLJ9wOWNgrCdZyhihGxZimakW3J/2iISTqemdFmjjtVNaalz0g33qtaCkgW1b2Jc0bbxXsxQZYz5ek6Lh/2oqRV9KFzMNq6RjLTvUPt8xqMNseMNme8V5ZCm8N1XL/Q7hZ+h2fVCu16n+wyo3RcUUIE8BhyqEZ8cbtshoHmtH9gcE77xEAD699/9kEAwPmbRrBxtIoLZ0ZRKRYwv9LCgVNqn7sJHJ/rv84HUuQgcyGY0U53/6hGlQQHVf1DAyHNMyZoBvNKx0cqRdGQyiIf122YUmPkdVduC/bRutp10L6je5jKalAXhaCYzDajrV1oa84gm5zRpvssrdfAlTsmUSp4ODZXx+EUqq1ByF4Atl3H6XNNa5KXJnEjClmbC4MIjF/TFTwcRlzy55UkH9dV0MkgM7RWx1e+N+UzKVu8l+aMNh+jrbZPcZ3DPM8L5sIbar8713oH5DQGJx3XQpB7Wcqcc8p5HUPlAkoRCyRgtBkL7YyHpGBGOz2jzRPvxec6ricd7z18FA+IYaBD7njGQnv7hi6jfUiR0ZbXt3a8l4oZmtjsM70UAPUDR9NgvBeB5ONPmCy0e4z29skaKsWCGNG4YfcUgO5DhAp+DpOgrBiUij/AFMOTBllmtAH1LG3BaGtK0TzPy9TMTRop0rkeHedxOlBmjbB57yv24seu24G33LhLMh1Kx2hXNeNziKnkShrJymjXmBJPsj5bRxjPFlEQsvoM8+v0jDui+IwLg+xLk/a5p1pgRGG5VySkje+k/UIvR5vHHCqtMRhn01tuqCUV2kR4cxTatXJRXL/q3iSTDxysKrCGZrQVlYWcBX7gPJ5W7eSk42sG/Yw239xvWiwoyJeHU2S/JiFr3iYhyNLWMEPTiveiB1C+0vG0B8QwnOlJXyezFtqSdFxF3lSX1AxZpT1p7hUOYwzVGaW24XgvALjEgvM4jWRcum0cP/mi3eLr1+/ZIP77sjUwp02MNq3Bhw/Oppo/5kCWGW0gmKNNYrQbTGZoQDaGajGDiZQqaM85s5R+H6d7P2uz7hWXzOB3fuwqjFZLgjmaX2mKDNY4cER7AXJOMa8ZWmpGO+cc7WELjHbQhEj/nOVg/HXm+muaEtKVjE0pHjO03v6l2ShMm7BCBT5H07tULAjzxKTkEa4MZ6DbjEwrmad7sFTwIkmztMg6oy3m5LlcxytqDUHOQjutEWGQo63/2iNOOs6D/hxtdZaO/zqSi71R4ZDKF++VudDuyf5OZpCOc8R7VcSMcN6u48FhPev8mK50fEtvZnil2VEyp+OdkU9+/zm6qqodXXqwlA1Kxy+aCbK0Tc1HE6O9aayK97xiL8aGSigWPLzo/I3iey7bHsxp54Xjvet88d6NGKuWsNRoi1lyW6BCO028FxAUQ0nFBaeLqSojICNwsuZltIHsrrpA8JzkkEdSw7Ljqz3fdBvFBF036UEs1rMx2sRAc5mhpXYdJ3ddg2q+pYyGYAAPs9SQCqC0DWbVWKMorFC+ekZGW+dMmveMNhebKrK0Exltch1neVlxxlNl8nWVPmHQn9G2a4bGaYSXdk6aa70DgXTcMdqaWJbkTBzzMFmhIl/mdEjVnWOYFox2BjO0Nkehxycdp5kjHdfxdsfPfDPOaRba1VIRm8a6nwdlGseBwxEz2PiT33+ODnNVsbPfYp5JCsMFm0ZRLHi9nOv0618FotAerWJqpIK7fvFmfO5dL8LOqWHxPZcTo30ov0Kbor22jA/hyp3dwv+BA/bk48uNtlgTac3QRlOaoenOaAPZmMuFjNnMKpgczpalLRv+cGTFDpWL4iCtwphx+HzQ6wI8Zmitdkc8j1LnaIt1oZmjnfGQOSyiQ81Jx7PK6gGe+DOdNaOrOMjalKoyjDNyx3ulndHmYnVFxFcCo92mHG2mSjttg2FFU+kTBpnRTtPc557RpkZRqxOfnEF2CBwFPr2m6vmay2UfkBt8bkY7M3zf75MzBfNz9qXjKnN49GfNtq+UJxgHXemdVo42hxnaGnEdHyoXxOxT1ixtOuTSoTcLyHlcZU47kHxyzMirM9o6m71qxn2LcZONvJZyEXs2dgvexw3laVOhPd1roOzdPIbr90z1fc8lW8ZR8Loy8+Nz9mO1gIDR3jQ+hGt2dmXtNp3HT/XY7EqxkFpandYMjWNNZWEm6CGfNptZBbKrbhpw5VjLSMMc0b6jy1pwmZAB/Wxw6hxtthntbGqxEcPMDaDnNZD2sB2GRju7kk53nSxnZrT1G0EBqWJ7Rps3WqrSO3MknX2pDuV63bTjgYLIYCy05QZNmjNvoCrglbAD8U74nJ992iaXrlpXhpvRZsBKsyNuypFqkaV7mBUqxZ58kNRltXWzrKeE63g9tXyWQ/ZXZTAJIQQzkOkPAJ7naWdp60rHAWA7OY8rFNq0vnUYbWHSorDpk5RLq9BOGSthktEGukUuADx+1AybTK7jm3rKkTDUKkXRYDmoYRKkAyq0N49VcU0vhsem8zg5jk8Ol+GlZDBUzdAajM2bLHFSOpLbJGQ1Q+tz1mUrtNUP8uL5pSlb50waoc+pVPDSzwBzuY7rzmgbNEMLxvSyMNrdta8jra9rkAvBjHa2gpfu9/Qz2vrrk4vhS8totxjjvQApS1vRdTzt8yAK5B+RdkZb16hRhhwTlqbQFmN7zJ8BEH8vthhjVodT3vucjfG0r50W66LQpoeK53UXcp7ScRX5cqlYEAtd94GoP6PdLQCabR/zKYt+Hkab33V8dCjbQTZ4AKVntDsdX1s6DvQboiUhmNG24/rOsekGs2oJ0nEmh9UkiDnto2bmkeUZ7TiQAVgWMysOnOgx6TPjQ7h65yQA4KnjC5lmfrMg63w2IM1oJ+ylgbkK34x2moJKR3KbhMAMLW2hzW/4MyYkmgrScaY5PN3ZWxny55T2kK+b00xoZBzLEuqOlexeI3Got9riuT9WTf+cqynOhsZBSzquO6OtGe+VVjIso8nE8KWVULeYjUnFjHaSGRpDY1+GaEYq7pG6JpFhKBc9MXOehlzinpNXTc7g/AwCNUs6Ez6OM6BjtBlAHehauYhCwVM+zJvAomAt4jdiVQOfJOgWu7VKUTDsaeXjPPFea0M6Dug5jy80WiKOImu8F5BSOs5hhpai004yIp3NfkhRWmmL0aZorScMSMd93xeu45sTCm0xY5uyUOJAp+P3MdobR6vY3ZPUP2SJ1c4a7QWkN0PjnNHOkqNtYkY7qxmaUMUwHibTSMfX4ox21gxtwIAZWsoGBBUTLQ2vkTjILGiWhrZujjXAU2gvN9uZCl5qEAylPPPIDHiWs06n40vMsmahnVK5R0UelzGpmNFOMkMTOdosLxuc75QZbVIM8jVGPc8Taycdo80r3wfU1IUtRsl6Wv8KrkQK+bVdjrYGBuMmaDNttDpKESMmriXpMDXC5DzOwQhszGiIxjujzek6rsdoZ5nRpi7pULmg5VK5LRWjrX9IThM3QeYkOrmWqhn3ooNrcEYbAC6aGQXQZW+5sVBviYP/dIx0HAAmewXm6RwK7dNLDfFApeu8fFvXEM1EAyL0GhazM9ppzdB44r3SSUFlHxHuHG0gWD9pzdBMyCPTMGa6o08EVRddFXCYfdU1zx460nGRF5zRayQOQrFXKWY69AvpuA6jrXHmGep9PrIJYBoEjHa61x6SPscsbHqzEzyf9We000XwNdlntFVdx7v/5sjRBqR9SZFIMWGGBqQjNwjcM9qAWnJGYMKm/3qB67hqjjbfqNeIk47rQ2Ro9w5cut1DHai4jgPBB881o61T7JIh2smUjLYo9HRytBkzz4MM82yHxrT5kjI45rOBQDp+SMV1POO8mAx5Xiqpw88hX1KdCRfZnYYZbSrslptt8ZpcINn4WLWUKDXcIBht+9JxYrOnRipiH5kZ73oFnMiQRpAF1GDIYiQ4rJqjzfjgVm0YEQZ9RLiReUbbwGEyjTKIO96LZUabISca0Dt7ZH1fPM/LvBZUQGNV5GeSFpw52lnWrPz5ZDl0LwsFSLp7uFQsiGdZFtWF3BTQZrRr6SL42szzwdQoSLo/OBr7MsZTEikmzNAAZGS0+RV+QpUVQ3Jxjg2kvfc5R73od2119A2ow7AuCm1iMunB2OeoZ3lOmwrnsQRZFb90PPvhjea0n19MyWjTHBlDvJRuQ8T3fS03VECWVGVgtJkKbWK0Ty7UE9fuCsODQP67iQ8+knKxxHspMtqMHdwwyGuFI25PxqDjeByyzthyQJaNE2imnH4H09CZ0R5VndHmZLRTmqEN+ohwI6vruInDZBrTIY7xI6BfmaOrYgvOE+mvST575MXajqecRU0DYrSTzjdRSJulGwYdcqEsFbxpPx/f98X9nnZGG9BrBjVbMqOtd69WS0HCiop8XMR7WZ7R9plntNPOpnN44IQhE6PNnKMNBHt+3L1IM9os8V4p56Q5Z7RlA2oTSp91UWgLRrv3ZhYLnvhw4ro1JqBa7Al3UM3DvY4DJ2E6Y8QXxwyFKLQ1GyL1Vkd0/bJLx7O7jnMV2huGy4L1PTobz2oLNkqL0ZYYGMVsay1GWzG3m+O1VFCWjAmzus1HQcVxnBBIx+0z2pShvbnHYgP2C20rM9rigK6/ptKaoQ36iHBjMqMiwsRhMk3DktsMDdBv2tLBM8tzpFjwRCGRl+FX1nl9FQSMdrZn7BBHoa1pCpaVVZfXVRYVWeAdlP53p9+5WPC0C0/P81LNK3N4s8hQjfdqm5rRVo33onl8zUSEQWRhtLnl+4Caz0irw6cqSOvP0MxoCBmGUrEgmvgmzjTrotAWHWjpwagyf2ACqtJxYmF0A9RVGfQ4BFna6RYgh+xPZqN0XFL7TFoymg2NpTDxGQQxkRO19IWCDM/zJPl4/Jw2hxlaueiJB1nSnHybQb6kymgLyZJh13FAnRFNC1XHcQDYMGLucJyEE2c5o01SbJs52jSjqcpKLDXNOY4DEqOd0m2a7nnOw2SaWUhu6TigP6et6w4/pMAUJUGn0DYrHafzRn7ScV1yIWuxL9/rQxk+l6rGmZQrQ5uQJuKrxeyXomyGRjPabIx2Oun4ylpitJnl+4BUI8XmaPO9rlCzqErHGUe9gOB84wrtjBhktAH1Az03VF3Hg7lCvesLCvvsm8FUTzp+cjEjo61xSKKGRMfXe/hSp320Wsq8MdMBMU9GG1B3HueQfXqepxzxxVFoC/lcUrxXr4PL5XQahxHFHOa0SFNoT9byY7SPE6MtF9o9Fv6krRntxewz2nnkaKed0aZDfRbJqQpo32l3/MSGg4zA8IeT0VY/0NIepltoF6XMa91nPkkbs7rDZ3GkH0TWeC+gv+nCjbNdOt53DSk/H/r+cjFbFJ5OljZnkxCQm2HJ9yhnljIg+8LEvw8dRjYVkBntlPFea4DRNjGjLdZjzL3IceYjkBGiqnS8wbzm6Rx23BXa2bDY6J/RBvQ2NR2IwjfhIa2T2SyDHnyjGTItCSQdP5VDvFc3q7T732kOiINYYGD2dT4TzkJbNUubNmodMzRAvcPKaYaWyGh3+Ew4kkCFGrd0nIpUpUK7V2BSwWkT9OCZkaTj02M9lctiQ2SamwRHjvZSox07n8vrOp6OnRKFNqO79+D10AE2zZx/EGFjgNFOMaOtW2gDwe+gzWj3niXDGZvXHJnewVhW+muY6DF35yqjretLk/XzWdE0H9Wa0e4VuxxRR0A6RlvEezGxqalztLldxxVVP6bM0NIy2p2OL4w0y4znIRUzNM787tRmaMyF9uax7vnm+Hyy0XBarItCeymE1eXM1UwDVel41rnoQYjsaB3peEYzNA7Zn+d5kgO7DqOtX2iPM7iOZ2HkBqEa8cWVgatqSNdmKH5VmcAWoxFGEkaZjAkHIRjtFDPaeUjHj4Uw2htHqih4gO8Dpwyz7L7va81oj8qGdjHyf84c7bTyUzpc1AxkaBNo70vTsMzbdZwr3gvgKXABfUZ7iLWYzDCjnZK5SwNqQo9nndEukyFS9qZmQ/PZMJRyVpRA369faGdxHWdmtFPMaDel+XAOqErHyXWcqc7uU/2osKpcRMYgVBWEhJbUPOYcpRM+IzHvBSkLOVQFadUsnDnagMRozzlGOxOW1hCjLQrfhEJbzEBqSjMFk6uRzboxY9HPYcQGSJniGox2wOzrFNo6ruPd945TOn44IeKLy8gocOxVndHO/lqqMm0TUqnoa+IxJhwE3dvEDseB4r0W6i0j8RNxEK7j40GhXSx4YqTE9Jz2crMt1nIWRrtaKoh1EtcsYWW0ydRP0dhoSTDa5h7JxDKmKrQNzCFOZHAd52C0uSK+tBltTXl0p+OL/W/tzmjrScd1CJCmZnMmK6tO93pWVUoQbZndDK3MYOQIZGO02V3Hk2a0e3/MKVmns6rKvcFFZKy6jpS1SVsqtFldxxUaP5wz2oHruNrzqcm85t2MtiYWRQdaYrRTztBxoCN1ypIZbZ4PfV6xsI8DFdqnlhp9N3USGkyyQ3qvdKTjuvme8t/Nf0a7K3FJlI4zzRDRg0TVCVyH0VY9BNJcGJcBSxxG6XM3NaM9OpTwnd0mDzWNzyzbm9P2fV+K9+q/TluGaJShXSkWMhlQdVUxyYZojVZPAsmYy6k8o91c3QzmBj0DFlLsXyak42MSo5ok0eRyHQdkRluvUaXNaKd0pB+ELKldc4V2PfBCyYJaxvloGbprJus1rAhGO6MJm8aZVGQKczPaCmuECh4uI65AOh6/N7SZ4708z0tliGYq3ove+6RUGQKxygCz67jwy7E0o51if/Z9n98MbdwV2lqgDkmf67jCIuKGLFtM6vhyHWIXehtG1kgrAJjqyTV9P50ZE9chSdXMKA6C0WaY0c4iueMstHdMDgPomqHFHVQ5crS7f1+N0RYzUxovNy7mB9UYbdPxXkBgXMjJaHc6Pk72FCIqM9qFghcckC1mac8tBwz64HVaK7RJNj5ShpdRoqayh/Ay2nRYVyvq6HBtakYbkLwGMknH+eO9On7QBE9+fQ5GW9/tG9B3Hdc1Q5MlpVmerWeD67iWdFxTBVHLGK2qz2jrSMd5Z7THUxjmcc7pAmqMdqvdEa9rYqxFxceCI9UlDC86fwoA8NXHTyh9fz+jzXctSftlp+ML53eOOfnhFIx2U2rCcKidADejrQ2SC/Yx2mU1ls7EdRQLXuLNSYfYkwv1WAOfJHCYgJWKBSFdVZWP+77PthGNVPQZbfq7WWfHgODhs9hop2L2ASnei2FGe2aiCs/rbvTPxzjBr4iRCV3pOGWZJzDabT5GO4ntajF30eMQeATwFdqnJXUIKUaSsEFkadsrtI/1HjoTtfKqWTSaLdcdb0mCznw2YUQhoo11RpvGLVTjvTTnO1UwmsHMkatZJ2OoXBDzs0lNy4BR139fuJrrlHmetXmty6zLBUiWOeSJFI7SaTGnKR2vSdLxrOceXW8YIhZOp0xZWW6QgizbWs0S60TgntEeS5EM0DQV79WOfh9kVQdnEzCN83SQo827Z7/sok0oeMDjx+YTk2WA/hltTt6hljAy2PZ5C/zAnyF5/Tfbes3GMDjXcU1Qh6SWc7xX4DheTGRmyICs1fFxRuOBGMSJ6UkSN/YO1apZ2i3JCVF3I6QDop4ZGod0PHgP08gvAV5Gu1oqiiInTj6+zPQgSBvvpdPZpven0e7Evh53Fz0OokBhLLSpOJ0aqSgfjui9sRnxRcYgm0NYd3vSccZC29KMNuVoq8pPl5maYnEQZmhppOMGImw8z1M2W9J1cpbBZYCqnaOtaYYmlGKlQiaFx7hRRlvvOSuzwWnijWQESrpsnw81PtPGmeqqUnTWp64B3CDSSMfzYLTlpj8XowkAWya6rObR2eQC1xSjPTlcwbW7NgAA/ukHxxO/X4zRFbzMiq8wJK3HNrMJG+2n9VZyk00utLlztJcabS1SLwzrotBeDJmpCuZhbDLa6vPSlVLAImfNqu1Imak6kmkA2DiS7uEjb5K6G6GYLaxnPxgsMMyql4sFwe6qdHoJ7Y4vJHUchTag5jy+zCRHDWa0E8zQfP1cy9FqSXRl4w6CTWYDlqRrAngZ7ZPzPdm4guM4gfYDm9JxklHJ0V4E29LxLEZoBJXPkDNHezilCiJwHTdYaGfwujA2hyhY1fhr4WTUOaKjACj7rEReRyVekpkE4cSecZ2uZTM0+VmVVT6uKx0nUuFkyn0taGzrzWhnMUMzxWgn+dH4vs9eaFdVCu3en5UKHutc8pZxKrSTP3thhmbAwPLll2wGANyjUmh3eF3fCUnScW4TNtmfJGmPpsZSweP7vUeqJaF65j7TrItCeynEJTQP13HVaC+C7kFWlknqM9qUpa12LXXGQptcnxc0GG1dSRshTewFQZZqchXaMwrGDSKbV/PwXhVuqGpmaDqbbteQJPkg2O5YlI4bKLRPLHQLWBXHcUIgHbfIaM8nM9pZG4GqIKm8TjResIfESMfJUIihqKPG5OmlppIE1nSONiBLxzOYoTGzNuOKfhd1VkabRmCYXMezMtqaRqy6hSTtr/VWh/38E8R7ZbtXC9JYXWbGX/P92UQpK9YZ7ezjjM223u88CNWs+5aB+WCVHG1T+xI1lCnSMg6mmpAA8Ipeof3Np08mExyG1H1Jozb9knX915Y/y8RCm9n8j7C59/kfV/j802BdFNph0U55mKHZLrTp9UoKM+FJCLK00zHaRYaOI0ehwxHvBaSLvSDQfPZIpci2MaiwElwGS6qd9g6TA6XK7xbIpewx2lnc5qOQJkObQPP9Vme0ew+cTeOrr3O6dyA1zWgvMqhyVObsOWe0Kfe83fGVmMMlpqZYHLKkJpjKiqWD/HyCSomez0McjLZmrBZB13Vc11lbt5Acq5ZEggHnnHaz3RFFok5DW9csjo3RTtlAXNEc1dI5k1JDimteVfWc08dqMjW9ywo52kLVwbwvCel4qkKb/wxyyZYxbJ0Ywkqzg289/Xzs95qKOk3Kk+dmtAsFL1AdJezR3OZ/BDqPcc9pn/OFtu/7ggGSpYdi0H+NSscB/YivBclpW3d2Q8wtKZqhNRg3oVEGM6oFhhlt+e+nOaBwzmcTVIpRthltxU4714avYtZj13U82UgrLUShreA4TiBGe9ZivFdUtFf3a3ak42LsQyP6SqVZxym/rJQK4rCq0pykQ7rJGe0sIzimsmKDGdD4eyqYEdd/X4h50mmu+77PNqOd3XW8+/eyFpKFgvqMfBrIs/86TbHhFKZIYSAmNKu0flr40aRltPWaUsMZ3c67r9171jPtH6oz2vKsLFehR8VTnILOVJE7I6TjKoW2OQNLz/OEfDxpTpsKXm52N4j3ip/R9rzunsKBwHk8qdDmU5/JIELBFdopsdRoi5tSLrTzkI6nLbR1XX055pIJac3QyDGSQ8rEk6Ot7zoOSExMClaIiuFx24U2l3RckdEWcm4bjLZwDutQswAAed5JREFUOrUpHefbK7IU2iSdPr1oj9GmefCpkdVrl/K/51ZaRvdRDp+JYA+Jc7LlPbCQfPyUQqFN86gmXceFGVqmGW3mQrumKB0Xh1lORjt7c32l2REmn8OaruOq0W9h1wAESqMsMDGnTc/EWllPuTWkqTzQZ7S79+1CPd2+ptvYJhWMSrTU6tfu/s5coydUaNdbndjnPjerCSiaoRmSjhOjfXx+JXHkhzN6MAyvuDgotOMTWMwy2lGjNiJD24ABm6p0nJvR3iycx510PBXokFMtFfo2Id2uchYspIwF4ZKOcxTaZMSk+hBYYZQycZhRcZnCpYm9INBhRmfGdBBq0nGehy89SJIKTdp4dbub9JCPl46bMQAJgxHp+EKWQrt3ELPIaBN7FyaTHa+VxP1tck57MeXITRhUstC5DYWmRKGd/N4s22S0M7mOM0vH07qOM8xBDjEw2rJBV9Z9VVfCzsFemii054RqTO8ZK1itHKX19HfT7Gu6o1qTvc8kS8oMl/EpQT4nxT335DxjNkZbZUa7qfcZR2HzWDc6tdn2cSrBCyWIHjRTRr147zSqpQIOnVnGk8cXIr/P3Ix2vFeCCRM21SztgNHm/Z1JuefM0FJClo3L8ukg3isP6bjaZqhrNrTAZAAGyA8/tUOakG8xbEIcjGLghqpX7I5nmdE2IB1PMgxrd3zxGeg+fM/fNAIA+P7hudjv49rwVRyJW+eM6/hqSXYU0ja7OBCXGex5nhXncY6GoWC0VXK0mR7eUyl8LWyYoWWb0TYkHVd1HWd09iW37xWNGe0l6XPKesDUVdNxzK2TosAEo6173hCS1YyfU72t1+T3PA/TI+lG5QB91/FJkSqRvpFa13ztQRQLnkgpiNsv5Gc+V7SUGqNtxoisXCwIP6Ik+XjAaJvZs2uVIm66YCMA4J+fPBn5faLgZVb3JZGRvZdlLfBVm5BNZvUZwdR55pwvtInRHsxgpYfUuWyGNs/ABBFq5e7PUJ2b4pR2jGaQPMpoyzFnmu/FuDisqh9Q5ozOaIe/J/LmqCsdf+F53c3+wQNnYg+HFO9lxwzNput4IGdqKzhIqyATo12z7zqetGdNWym0u2uOo9COZbSZnUyFdFzhsG4j3ksoM9aCdFxBGdRqd0RDjYXRZjBAFQoPxWZ5GHRjxjiyxcUey9i0083QJmjnjGsy2kCwr6mOygFB4ZX1HqZCey0w2oCk3osd4eJ/DlcVzNBMGpFtmeh+9knO44FRpLkyas/GLsnxfIwqqm2IdEjK0abPnms+G1DfG5uazbQoCOn4nCu0U4EOpTR3Q8hDOp5WAqktHWdy2gYCRlu1y8xlxAUECoCshbZsYqXbbQ8ePulntE0U2lEPQXmj0n0Y7dk4jM1jVTTaHTx44Ezk97WZZoVU2BZTcqkwyDI6HZ8AQqcTGDRuCJl9jsJkHoy2kI6H38e6PhIq4JGO283RBoCpFDFBJg7KgxAz2mvIdTyu0JbNkHjivfRdx0lVNaxhzKd79tBlTgHp+cE4DsPFaKsaIkWhoWkWBwRNsjSGaOJzydgUmqiR2aVaJKCMQPnBd5+q+NGYSP9IFe9loMgVWdoxhXZHUgyaYrQBtT27aWxGO146buIMpnrvN5jHvAibx92MdibQRrmK0c5BOp6WVSX3y1NLjT53R1XQoZJXOq728ON66AL68V50LZViQfvAphpLI2NW5ACrZyYnIYn1laWoupIuz/PwwvOmAAD/uu9U5Pdxu47HFdr0cCkxb7RhqJaKKPc69hzy8aVmWxgqjVXTF9r1Vkc7okgVi73XiTJ+EuMt8+ZYdlbpeMz4CfeMdhozNPo8dQq4JND7t9xsKz9PTLmOqzQsVxibhQDPM39J03Ec0Ge06wxN7KTRoyyYZ5rRrmk2IhoMmdIbMzQQdWfn6bnn++n9QLjN0AA1PxoTpqT0uTVzkI4DgSHasRjpuNwENGWGBqipkEyRDrSWGq1OaOMnUDDy/f6q0X5BjraZGe3TS81YRUVanPOFdli0F5CP63ha6fiG4QqKBQ++r3ZYi3o9Dka7lrLLHLDp+iwuGTFlZRPlmDNdZMrR7plXmXAdX6i3hIxaxgqzFPXG87vy8Xv3R2c6dpil43EPeJuMNsCT5U6gn1EseKlYqdFqSfy+NuTjzXZHPGwiGW1S3SzwdoBlBPtm9rVMqpg4kxVuOdpUhkLbJKMt73+q69jUgVbFDK0ujR9xyBNpXCxrgQsEjLaOuqKWUh02CF3TLcCs63ia5mEYdM3iOMbWskR8BYx2ttetlApin01reMmVMCJDZUyO9kzO57Aao21GOgyoMdqyE7vJQntEwcDShCkZ0N/ICxu3CdQMnNJxtRFV7qY4YbJWFr8Pp8HrOV9on+pF4UQx2nFZfdxIa4ZWLHiCFckiH5+v8xW7xLQ0Wh2lOVXanHXjtICgUVBvdUKLStVr4WDX6RCRd462XLSHyf+4pag39hjt+589Hdnp48q2VsnRbjJFiakiy3xrFOhAOlJJpzbwPE8rAiYt5IddFNO6aTT7/qSCRiso9nUO8KlytNnM0NSk477vC6XQUMXcI7lcLIjGjmqjsC4kqabM0OJSE3hfW5UtiQMHo607g8w6o81ZaDMp6MRhO88Z7VEyQ0vDaOvNaAOB6u10yv2dMwaPoKI6MeEtoZSjbWhfAqQs7Zg5Xbq2UsEzqqpTiWQ05zouFdohKqA2k4JRRtocbW7X+UIhMHjlzNI+5wvt04vEaPcf0miOxpYEEwi64WkKX505beqC6TBBBPlgkWS9D5iRjgPZnMfnGWfVs+Vod7+Xs9AuFwviMwk7LNG65nrwXrh5FFMjFaw0O/jeodnQ7wk2Xr3XVIn3alvM0QZ4nceDkY706yGY0zbPaNN1VoqFyAeaaddx+f3W2ceSVDG+77M7mZJ7bVK8V70lZTMblI4DwbNHVR1kzgwtmBGOyohdYXb15fBloVGKsLg7VehKx5cZigyVPTYtuMzQyB1+TTDaCtF8hBUGST+dEdLu7yYUMSo+CmLkpcy3b6VzHTdhhqYgHTecoU0QkYwx+zXXyN4gigVP3ENhe6aJ11VthjZb3dc2oWgIDNH4VHrnfKF9SkjH+919hXQ8F9dx9c0wkGZmKLQZZ7SrpQKIfFN5AHLlVgPdjZduqLh4nihwddrln5HGRGahzseoy4hjfrk7zZ7n4YY9GwAA//pMuHxcFNqaM+FqruP24r0AXum4jhSaIr7SMh5ZINi7mOvU2Z9UQO9VtVTQYg7owLLSDFfFyHmw3GZopxYbkcUk0L+fmpSOA+niCX3fN2iG1r2OdsePLDi5Wboaw4z2cu+e0NlX5VnxuHURBVHQaTQgVFRDaTHHZobW8xLIWmizzGj3GO0U3hMckn4R8ZXyc1kR5mD8M9pxe8WSAcm6LB2Puj8aJme0FaTjJt7vMKgU2gHpwH8WqsYYotGoIK90XC1H25QZGgBs6s1pO0Y7BUS81yCjnYfreCM9sypcfTUYbQ7puOd5GC6ryTqAoAuq290mUFGSpdDh6rR3f0ayQcgglhlYkDDEFaQcD/1B3NiL+br3mXBDNNHh1GSZ6fdaakSbNpmaS4qCkI4zuPSm9WqQIaTjKWf4skDMo8asW8oBPzFfz1Q0JF5Dg+fw3qeKCdm/5HXG1SWnsZ9m248dOaBDTKVUML6eg6jE5P3LpOFPrVwUB7QoaSqHRFpGkouuCpYb+vJg+e9mGV3jlI5zFtpcKjYdab2sTNGTjqdntDnc4LMmSxhhtIeS1wjHKMUgqsXuz/L94EwxCJOM9kyP0Z5dbkY2e6wx2gqu41wje2GIMyYksoM13kv4M8Tvi8GYl4lCm1+ld84X2oF0vH9GuyrM0LJ1lbMgS0yNlnSckVUGgFpFPUubM1oM0MvSXhAmLXzS8Uar02eIEYcgEsZMRE6odJwxXo1AzuPf2X86dE6/w8Roywe1qIc8vb6JjmYYTEjHs9wbk7VsB7EsWFQ4RE2PdffVlWaHJfpsEMH4i969K6tiwj5DudDmcjIdKhfFexeXpb1kwQiNkKZh1F9o816b53mJ0lTBGjEdpjia6xzeF7JZVhbWlt6XGkO8F6d0fIFLOq5RaMsGWhyM9qnFhpInDcAjHc/qwcHdlAJk6Xgyo815tpE/t6hGVJ0hwi0KY9WS+H2iWO06894UBTVG2xzpEJfUYDLea7kZ/3wKzND4f+fNbkY7HeS82qkIMzTAjiFavdUWndY0h8ZpjZxaTtdxQP0mAHhntIGAVcvGaPNdy2ilJCT0KodVWRrJXWjHHZaoI8j54H3B1nGMDZWwUG/h+4fn+v7M9322mZ1SsSDWbNRB0FR2ZBSEooLB00HnvtwwQgcxe4x2VLQX0JV50u9xMoVDryoE+8+gBolTxdAB3fN415SKIdqKof0hDCoHNwIdJj3PzIFmXJgthd/jdXZGOzBATZtTTOBQCpWKBfF+ZikmOeK96NmxGKMaSgt6HuoaoA5ruI7Lc706ypSp4Qo8D+j4agkPvu+zFLuikZpSsWRCwaai3guk43xqvaFyoOyJYnJNxnt5nhfIxyPmtE2N1AyC9uulRjuy4WPC/ZsQl87UZkqZkVFTVM0K1YqJGe1xIjfdjLYS5laaoLU5mGEszzfVLWRpyxtGVFROGDgYba5iV9UREAhypseZpOOjCjEHkdfSe1BwMPuFgofRSvwBUYZ8kNJl5QYRW2gbePAWCx5u2NPL0x6Y05afARwb/kRCNz1gtG1Jx9Ob4EVBp9Cm98XmjHZSSoJJQzRhIMlw7w7HGKLJRmi6ufMyVLK0bTLaY0Pq61iWR3K+J4QkRtvUjHb3Z2d75nPFKOnIoznUSiqqobQIGtp6z3yd94ar0C4VCyKpRiXiS15PLDPaaaXjBp734wp7BXkWDDO+rud50nx4fBPOhOs4EDiPH4tgtEUigiXpOBDdHOUyoQ1DnHS8bSD5RTXaj+43E4rGzW5GOx3ocDM2VFolMSkXPdD6sGGIRgfGoXI6Ux86xJ7Uch3nko6rF9qc2dWAlCeYhdHWcHkOg0rkAmGp9z0Fj39TjpuzM9HhBoDLt08AAPadXOz7utxt5ZjZiZPFA4F0yN6MdnaPgEHo3JcbhnNgtBPYCh0fiSTQLDGHKieQ/4fMaBvKZQ2ytKPfGxMROVEYU5j5I5hkjYBk5+vgMMvLaMs/Oy24RnLiDrBJCJhTvUIySTWUFlwxmjo52g1JUqr7HKImmUrEl3yteow2eXCofyZdNp0/3kslgs+EGRqQbDpLn7OpQpecx6Ol42b3RkK1VIwdeQKApsEZ7WpM08vEjHagms0n3gsIpONuRlsRpyLms4Fu10znYZcWWVmsrK6+9VZbbEZc0nExO6XCaDNLx3VmZNmvJcVhVY6D4WaF4qXjhh6A1XBHWLnQ5mG04w+Btme0OV3HFzWUJhsymuVkATHaSQoc2qPiXFqzYoEM2Rj2MJKOhzPaZma+KO0iTjounKwtzminkY5zHt5lTCSs5UCeyfP6clyNbrSW7melk+nNMQsMJKuG0qDd8cWzTt91XJ/R5miY0dieUqFNhoZFPUPDCZEqod5IbbQ7QlE2xPi8n1SIGqNCmyNCVsaYUJBFMdq8TbhBzCRKx83leA8iyZ+oTaSDAXVfXFKDiRntWlnNB6ppkNGWFXpZR4wGsS4K7Q3DqwttIH7QnxtZHMeB4EOfX2mleijLrA33jLaadJx3PlxnRpbbmG1sSP2AohKRlBUq0nHuGaJA1dD/u7clQ0EOljmO7eKcB1cFFXpx7tGqoJ+RpXjMchDLCpUZbQDYvXEYALDvxIKBa+C7d+OaJabiQoSpUoz81CajPZoiNYE7x3oQScZ+HDFWg6jGzByqQCiFKnrrJGhaZ3Ed59nbk1RDaSA3nXVVbGka+oMQhTYD0yUivhSk40J9oVl40T2RRjoun1857xU6Ny822pGZ1iJHmzlRZVRIx5NmtA0x2r053SjpeN3w3igjycDSpOu47Rlt1RFRwWgbaC5QzdXq+KmUJXE4pwttYYQWwmgDdiO+skb6jFVLYjNJI2WghTpcKbLdCIHrePxNUG8FGzNfvJeOdNzQvLiKdNxQtBdgf0YbiG62tNu8hXacLJ6bPVcBsTR5u45vyOhKmwWLioz2RTNjAIAnj/MX2oESSH8dC1VMyP7FEQkUhimFGW0RGWVlRjuNdNzsHGLSGMSKgTlMHUdrgC9GKU6SmQQuh+kk1VAaUOOmUipoFx81DUa7zlhoi4ivFIy27roI4hvTFNrd1y4WPFZFzthQYPwaZc62ZOicMZ5YaJtzHQdSSMctMNpJZ9+2QdIhrkZqGTCkpRjmU4uN2DSoRtucorFcLAjlJteI3jldaJ9a7G5WUYx2XBg7N7JEewFdiXsW+fg842wjYVix0yxvjmzxXhrSXe558UA6nvwwpOs1wVbF5mg3eJiXQUQV2pRrDejHewHxhbacrZnG70AHOq73g9AxQxM5q8tN47GEqnvW3s2jAIAnj82zX5NO5vgg4g4sQYfcTKEdJx03kUUbhXTScbOHSXkth78+vzxUV8XGN6Od/ezBNY/LGfHF5TgOaDLajLOb06PqM9pczY8gR7uhLFuV/Vg4x9MKBS9YIxGNXfKg4d67iKAhj45BmGa0hRlahHTclhkaEIzrRTVH6TxUtmyGxpkIQtjYG7VqtOPjQk3maAPSWJNjtJNBjDZJgAaRxlVSFzos1nQGsyFuuTSg3mkWZk+MbHqaA+IguGe0x9YIo62So83daY7KUicZkeeZN0Nr5cBo6ygqBkFzxzqMdrvjs8jY46C6di/YNArP6zqhxxWUWcApHRdRKTFmaOzScQVGe8WidDyNkaNpeSSxd1EO+iaygXV9WdhmtLXM0Hgk9aTw4nAdn2fK0AaC96bR7qCVMnrMxIy2yvmQy3yUCtuODywkKAcJy0yNlzBsSLhHTZuhRTHaDdEENLM3EaN9PGJO15YZGiDPaMf71ZiY0Y5rTNLZjNYsB2qVomjaxD0zm4ZGvQhZ3f+jcE4X2rRBRjHa2yZrAIAjs8vGr2Vew2k4S3yOYM2YiktAfUabK+ZDho4ZFff1iJkZhWuh6z1XZrRHhCPswIw285xQ3O8mH75sS8dZCu3eoTTLXjBULooD1ZlFs/Jx1bVbqxSxa6o7p/3kMV75OGfDMM4MTcxol7jN0NTjvUxnsgLpYupMS8eDedQo6Tj/68fNHKpghamw0DJD6x3yda8hTjWUFpzNbPn3Ssv4BzPa+vfSRjJDU2gecqkM5P1d9ZC/bHD/mEgwRCPpOPeMdlKhbZrR3jRaRcHrNvVPhiRGmDaKlBGQTOH3gskZ7TjVL42LjDMW2oCaCszkjDYgu/876Xgighnt8IWwrde1OnyG3y13ECIPNkPBRYX2s88vJnxnAB15ahSGFWM3hGydscjPymibcF9Pk0VrY0Z7fqXVN7cMmHMdj4p4454TmojJ2JUZbdtmaGHRUGlBPyProZT7IRCFNGv3QpKPH59nvQYT0vGwZl3T0MzXRuE6nhzvZUM6nnSAlVE3wCjLoHm8KLYscB3nl47n7TpObHRaeXSz3RF7rS6jzSodr/NEewGU29797+yFNqMZmgLBwdnYFvu7YqFtQvkhriVBQrtsaOwlMJxNGisxU8KUigVx7j42G1Jo2zRDS/DVoDxrE2ehOOXN3HL3ejgZbSBQgcUpSRoGXceB5ESMtDinC+0k1/GtvULbBqMdGAulfxDdfMFGAMDn7jug/FA0UWgL2XDCw49bqg3I0t10D14j8+IpDIWWGuYO0fIGNxiDYSpHmzrXUfFeHPPZQBKjHXRwuSPTohC43re0Ix90i8c0xZIOFlLM3+3d3DNEY2a0RVoDw14Sb4Zm5sE91TusrzQ7kSaSXAZbKggalsnPEdOH2YlakhkaP2u0Vma0hzIafsnfrzs7T4dJzhltimXSQV/0akpX9gYj07VpNGiSJXlP0HriaGwHxa1aI9XUsx5INizMSzpOha4pMzRAincLaZKuGN4bZSTt2WZdx6P3KVLCcPgyyAhUYNENroYh81JCUiJGWpzThXaS6/jWnnT88BnzhbbO4fo1l2/FRTOjmFtp4ZPf2Kf2eswGYIDMaMcf8M1Ix3uFTkpG28S8eLoZbXNGR5VSQTxcBw9L4sFvynW82e47fHDHbY3HOOK2DHZwo0AHSN9PbjTFodPxM0f9iWuxVGgvpbjOi2YMMdqc0vFK9PtmygxtpFIUh4GoDn0Q78WvehkErZ2VZkf8zlEwLc+kTPi5lVboLK6JeDEd1/FOx2crqLJeBxVVnqf/uZgwQ+NqrgfPmXR7nAlGe6XZSYwVXWaamwdkQzRVRtucjHkioeBYNkQkBKrBJDM0c83JuOds3UAiQhSS1Jx0LSbYXdqn6iGNSVIbUMOOC1NCBRYjHTfMaE8yNiGBc7zQJkY7qtDeNtErtCOcBTmhY+pTKHh4/w9dBAD4k3/ZHzvvRzApHU+a0aYZ1DHG187qOm6i6E/DaKtmEWdFVEEqHvyGpOPtji/YAwCC5eWWjofNqbUMRjtEYahcAP1qOs7j3QZF97+z3pujCYcQLqRZuxcaYrRJwcIxejEaE9EWSNF4mzee5wVSuIh9eykHRhtI3r9MH2ZlRc5c2GHWwBwk/ay6RnQUwGeGFnaAjb2GZtD80FXzyIaTvu/jO/tP4Ylj2Rpl3M9ZwaSllNZzmqENV0rizJMU8VVv8jG7kwlKj0GY8mMBJEY7ouAwNRqXPKNtnlEWzuehe9PaydGeM2BKRojztJgVjDbv65Lb/6kY6bhxM7SU92ASztlCu9HqiIUZWWhPdqXjJxfqYoM2BRF/Ucu2Id1+2RZctm0cC/UWPvH1p5Vfj1U6Xk5rhmZCOp620OabHSOkMUNbUswizorA0Kb/WozlaEs/Tz4EBYw2z5ZCh8D5+mqpNjd7rgLP81icx6nIKxa8zAUEpzFbHNKs3Qs2jwDoFpMqubOqoPeL4/6NU6KYmtEGkqVwKxZntEvFQAWTtH6oeDDF2pSKBfG5ng450JiYEa8p+oyEQWafteO9Ml4Hp0yYDsgHTy/jjX/0Tfybj38LP/GJb2WK6ON+zg5nlNbXGeO9AGlOO2FPCwzJ9F83PaNtRr3Wfy2r789Ox5fUOPZytH3fl1zHTRbadA2rPwerZmgxDWIgaIJMMjPLgKJ03JAZmorreIXZvJTg4r0UQRtDwYvuuEyNVFAtFeD7wLGIYHou6HZ/PC9gtf/0m/txfD7+egWDziodD5/PHYQJNl1mtNMcBOYNvA9xG/AgFoW0ygyjHSX/WzHEkpWKBcEWyHI6btdxuk98f3VDg16Lm31MQlKepQrmpVGGrIxU3CGEE2LtKtzHw5USdk51FUJPHedhtVvtjnjAc5ihBQeWkHgvg7mcUwnmLjZdx4HgfUhaPybMyAYRV1SYmIMkBop+dhrQWqyUCtpNPvqd0kvH+T4T+dnx0IEzALrGdGshQjNrljan6zggzekmRHyttPju4bSHfJOMdtz9Ka9dm9LxVscH9d5NMsrjMaa3NhntpFFFqnXI84ITgadFNKPNzaSruI43DKsa1/yM9gc/+EHccMMNGBsbw+bNm/HGN74Rjz/+eN/33HrrrfA8r++fn//5n2e9jlNLgRFaVK6v53nCEM30nDaHvOMVl2zG1TsnsdLs4DPfejb2e+mm5JRv1xTnpuZMyLV7v0fHT2dkY0I6noZRXBKz+WYZ7SjpuIls3lrIrD636/hQuSgOo4PxM1QU2WS0Ab2IOULA0GZfj4GUzJx0vNnuiEOrqhqD5ONPMBXaciOH4/6Je99MzWgDyVnapuYco6DqMWEiXmsQcWZLZhnt9Ao2TtO6mqYZGsd7sn2yhg3DZYxUivj5l10gWOAsh0u6p7hkpFnd4Tml44CUGpBQaNN6ysd13NzoyeRw9LXIykaO2XQZsnR8kFiRRzhM7k1xzwsbeyNhJEE6bqrgBaLNI33fF+d8buk4qUjikjrM52h3r2HNzmh/7Wtfw7vf/W58+9vfxpe+9CU0m03cdtttWFzsj6b6uZ/7ORw5ckT886EPfYj1OoTjeIRsnLB1grK0LTHaGjeD53l46427AADfeOpk7PeazNFOjPcyINcerhRF5EeajruZefFgdieJXQ9cOU3NaK8utJvtjpBXm+hyh83qm5BzRzURAvbcriCHUzquUziK2TGD0vGlusxWqK1divh6KuOc5yDovaoUCyzMgWwqM3jfihxtAyoJMneJLLQNNsXCoKrIMW2GBsSbLa2YmNHWYLQ5C5q42ByVa+D4TGqVIr76Ky/Hvb/2KvynV18izOmyHC7FqBq3dDxD/BnAJx3fNKYmHaf1xLE2AiOmdK7jJmTMkzE52nLjKYrMygp6xrUkA0KC7K9gojEaXEOMGZqFvZEwmkDszJqUjpfCZ7SXGm1xDuNntHvPyzxntGNGJrKA/fT/hS98oe//P/3pT2Pz5s24//77ccstt4ivDw8PY8uWLdwvL3B6sbv4piKivQhbe3Pah0wz2is8Xaeb904DAB4+OIv5lWYkMxZIVHMwQzNQ5Hueh5FKCQv1FhbqLZFxmAQT8+L0e7U6PuqtTmwxa2tGWz4cySyAiS532Dro+PwRExO1Mo7P11cx2uQ6XrItHWeYjZ5nGKugvxtmIMUFckavFAvKh9a9Ikubh9FeYFaD0H3b8bv3iNxAaLbMSdGCDn08o23DDA1IPrgRbMgjidEOm9EOikrOHO3ewVFjRpujIUJ7aFp1zAqzTFg+j0zWKjg2V8/IaDNLxzMy/g3mAihgtBMKbc4Z7ZSyVTEfbuCMEZejTcpGE0qckR6x4vvdhqB8z9Ul1QJ3gS8jyPKOdh23Me4Tp0DyfV+sExOFNr3vg4U2nTfLxexeM1GQzUN93w8dseO+zwcxKZ2rOx1fe50Zb8fMzs4CAKampvq+/r//9//G9PQ0Lr/8ctx5551YWlqK/Bn1eh1zc3N9/ySBjGeijNAI2wSjba7QrrfaoiunK7PYPlnD7o3DaHd83Lf/VOT3mSh25YdfHJMrjN+Y8/WyRHzN1/kL7eFywK4nzTnmMaNND/1iwTPC0IXN6pMTOOeDL4rRpteyLh2v8EnHdWaORcFvsNAWsXQpityLZnrScSbncd288UHUykXhHD/43pnskCeZu9hmtJNcbAnC2deg4U9cjEowI873+uLgmGVGm3GWflI0GNIVtSstc8ZXEynzm2UEKracXceNmaGpzWhzfC5pZ7SF8sNAQ4zW6VKjLfYDgqkMbaBLrESZzpousghBYz3aDM0qox2ioFxqtIWa0KR0fLDhJROHuukHg6B7rt7qRJJ6phltUop2QjyCssDoKul0Onjf+96HF7/4xbj88svF1//tv/23+MxnPoN77rkHd955J/7X//pf+Mmf/MnIn/PBD34QExMT4p+dO3cmvvapHqOdJB3f1svSPnLGnHScHKE9j6fgu+n8jQCAbz39fOT30EGS8n85QAWWnzAnHWTf8t74WaS78waupVDwMFpRuxZbM9pzIYx2rZzdcCsOtRBGm9sMDQiXxQOBTL2cm3Q8e442h1FgGjO+rMgSq3VBj9E+uVDHaYUIwiToRCKGIe7wxi05lZFk7mJ7Rpv2wsRCu2n+QDtpm9Eu6buO1xgKf4qwSevQz8mcDkLHAMhYjnaO8V6AbIam5jpezWFGm+bDTRS8Y9WSaE4ORm2a3reizMjqFhzHgXjp+IrI0bYX70UKShnUjKlIaRKcqEXMaNNa4J7PBrp1Bu1vUc1pU3GchKFyUfzuYRGzaWF0pb773e/GI488gs9+9rN9X3/Xu96F22+/HVdccQXe+ta34s/+7M9w11134emnw2Or7rzzTszOzop/Dhw4kPja9OCeGolfCCQdN5mlTd2f0WqJhfG76YJuof3NmELbhOu4fCMvNaIPaSZmtIFsWdqmrkW12MmD0TbpQgrIhyDJDK3XaS0wFvaiibASXmjbZrTjOtyq4Cm01QolHVCDKM0harRawvZe4/KpE/qsdtCw40wM6L53g3uIyRntjTHxXq12R7y2Lem46jrmdFKOQlRx5/u+dJhlnNGuhB8cVbDCqDygOcS5lVaqaFGTn0mcuiAOnY6PhYYZ1/G0M+xCVmw53oszYmvDSDAfqpKwYtIMrVDwAh+FgXWxZPhsE3XGCthks/vlWpnRlpvdg8QOFYETw/zMMhDsvSutfhWrMDw2wKID0shGRKFtMo6TMKmh8BmEsat8z3veg7/7u7/DPffcgx07dsR+74033ggAeOqpp0L/vFqtYnx8vO+fJAgztIQZbRvSce5gdyq0v39kLjLfkB58nIfUYsETD7C42SkTcm0g2HBSmaEZaDjIPy9JvitmtC26jouZz4qZ2zuMbWgbmJuOko6TGYoJ9jEOweiCBqNN3gkc0nGDZmjUIEp7nRfOdFntJxgM0bil492f1cuQzkE6Tr4hMjizmVWhOnpgh9EOL7Sp+QDwvi/C3EdDOs5ieFUrC6YwjM2PAveMdt81xTjAx2Gp2QadwbkUdGQemtl1nMsMbTT+wE/gbG4To93q+H3JC1EwaYYGSD4KA++BGC8yxGhHFbrczZTo14+OGKtbaEISCgVPePwM7tlUBJqQjQPB7+f7/W7vHClKcQgiMcMbXCYVaIQ4o860YL9K3/fxnve8B3fddRf+6Z/+Ceedd17i33nwwQcBAFu3bmW7joDRVjNDO7PUjGVpdcC9KDePDWHv5lH4PvDtfavntPsefMwFZpIbaKfjGytug3gl9YevqXnxKAmqjEarIzpvw+UcGG1DHd9a73fpL7S7/+ZkmaOk4ybNP+LA6Tquc1+qztjqIGuDaM/GEQDAc6eiPTdUwS0dl3/WKum4QTM0Oqgu1Fezl3SvFjw77AigtncBds3QBlkDmXHmfF9qGd2sAd5iqlDwEvPVw8CZoz2IrAdLuk8LHl+xR82M1NJx5pi+jb1C+8xSUxzuw8DJKg+VC1LUWvLaMK1gi5oZXzIsHY8qdG00ALuvnxwxZm3PjmiuE6M9aajglddzXdqTA/LQzLk2btyq0/GD8UErjPYaLLTf/e534zOf+Qz+/M//HGNjYzh69CiOHj2K5eUuY/z000/jt37rt3D//fdj//79uPvuu/G2t70Nt9xyC6688kq266CHV1KhPT5UFgePw4bmtEXeXI1vUd58Ac1pr475oq5XseCxbwTDCQ/AxUZLFPnc8xu08WWTjvNeyyhFLMUUO/JhzpTRUagZmmFzpaDZIudo97KtGeVLtInPLve/x9RES1KrcEO4f2oUuPMsZmhBvFenkywtzAJqZqWVBe7Y0FUIHTytrxDikNkPIuq+NZmjPS6xl4MFpcySmpD+hWE0RhIpw4bhz0QEo02qFc/j/UyoGBmcdVTBMrNEN8kkLwxGo5wyHiznpREPrjVMc/DpGW1etdNkrSyax3GfE+fn4nleqnl5kyoHIHjODs6qmo4ujWK0G207RmRREWOdjm/NkI0Q1Vw3maENdAtZWv+yCogrRSkKNLIRds81O8FnYWpGGwiUJbMMEV/sq+RjH/sYZmdnceutt2Lr1q3in8997nMAgEqlgi9/+cu47bbbcMkll+CXf/mX8aY3vQmf//znWa+DZmqSCm0A2DrRZbVNycdN3AzCEG3f6jltmr3jfPARwoyw+l+7uxGUDBT5QvaZKkeb/7AOxEcuELJEJKWFPMdMRReZo5if0baToz0Y73U6Z0Z7UUP5wsHSymz4giEVjnBHT9ms2bFhGABwiKXQziZfj0PUfWtyRrsozTkOyscDx3Ezh9UwjCk0CQE7pkOC0R4stMlxvMTbgKAiOQujvcLsshzMIaoboplkL4ODZTZGm/MZSw2+tDFs3NJxWXkQN6fNrTRIMy+/zDgfHnottHctDTYJe9JxQ69Lz7nBeK2A0TYr2x6pBCkVMqsuj7XYMEMDggbxIMlETbEJg2chGreR90zBaBub0Y4ptNsBuWBSOh411pQF7E/3JPOGnTt34mtf+xr3y/ZhqdHC8fnuprhrajjx+7dN1vDk8QVjzuNzzDPaAPCiXqH9xLEFnJiv9+VK0wGVu7gEpGinZvghTXYf5S7yRzKZoZmZF1cxQ8sSkZQWtNH5vRiCiVqZnXkZBK2BJYltaBsotKNmBs/kxGhzSMc5WNpqqYBy0UOz7WN+pWXE+XNRrN38GO3gAM+3jkcjPkMxo23owb1hpILTS81Vh9Ulw34KYVBpEgKSk7LBAy0d4hfqLTTbHSEFFI7jzEX+kGTukxbsjPaohnTcSJRTNvMfE6NiQ1ldx9v8TOP0aBUn5uuxEV/cDZA0zuN1wwq2JOm4qdeNlI5bch2nlIq5lRbm6y1sptc3NNYSh6g9mwpeWi8mUKsUsdho9zPayzSSaWpGm/LrV99z8viVyeSZtDF7cbDrJmQJ+0925wM3DJfFYT0O24TzuBlG24RxwIaRCi7d2jWFG2S1FwwVl0Ayox0Utvw3oGqkFqHPFC6HGe3FDBFJaTFULorNntaZ+UJ7NStkotCOmtMJpON2GW0O6ThHE8zzPGVWMivo/k57nVRon1yop3YMHoSJA3zUrJtpF9MoQyFi7Ex5OIQh6j0YBIefQBLGa2VQP1YuKkwVlFnzmQH+YiqOtYlC3aB0POuM9rwB1ZhQHmQ1Q2O8j1Wi2LjHtdJkmpv2ZIlSnZif0Y4yQ+uNBxiczw2uYXXCB71+seAZnRGWQWrOwfMmfSamJNxA0GiV90zj0vGYpA5qipcKHkuKUxTSxuzF4ZwstJ85uQgA2DM9ovT9WyfMZmnTouSWWdx4/hQA4IHnTvd9XZaOcyMp33J+xdxrp2UUFwzOi6u4jhMraKrjSxic0+aWOA6iFhbvZSBHO2qGMTBDy4fRTqOoGMRC7/7QlUMHM1tmsrTpd0x7iJqoBZ4Xh87oNS7NuI6H37cmZ7QBqdCOOKwOGd4jZKiocdqS47GJvZxQLHhib56ViorA1Zeb0Q5mtNP6G3DnFWeRjhOrZGJvl2e0VWKlCIsG7tMk09UoBPm6fOtmY4J0vCPlGw8xzoYDaof8YPzEzN4VSGjD/SWsm6FZYrS717B6r7RthAYAo9XwxjrtmSbH6GivWQkzQ2P0nZIRZ4Zm4h4PQzC+sQZntNcC9j/fLbTPUy60TTPaZpyvSRZ/fK7/AUDdN84HHyHpAWhKqg2kz9E+2RsfGK2W2GfaoiSoMug9SjvnmhaDhba9HG07jPZSo93HjtLh42yUjpPKQff+EAcAQxFfS41sagzP80SWtq583MTsZ+SMtuGHN6kvVs05NonRtldoq7jWy+8PtxpoEMF7s5rR5pat97nopjRE484rXnvS8e71NFqdVDnjCwaUD0MZGW0T0U/To9EyVvk1Ab4GSFRxGwYxZmGI0Y5SOtDomKkc7fEoRtvSjDYQzqoH77fFcR+hQur/DIR03OSMdsi4jfF4r5i9sWnQT0VGmmZXEs7JQnvfiV6hvVGt0N7WOxge1mRgojBryLCA5rJPzPcX2qbitYDwaKew1zZRaKeN96L3RZ5f54JKFu1iw+yDiDA+YBpmSzpu2gxtfKgkNlOZ1aZixbYZGnVvw2KaVMHF0pqO+KLrzOIvEMxp60V8mXEdD3/fTD+8N4yES8eXDatPwkBZx/VWJ3Id03tfKRWMH2gnQqSppty15eZj2tEG7n01i3RczM0bYPNGKkWhSEozpy32NMbnnGjop5WOG8jXpYivExGMtnyNXA2QyQgFzCB8P3DENrWHBBF8A4V2RtWTKsYiRlxMzOFHX8NqVt1G7OEgRiOUWLRnmjIlA4I1LRsTmvCdkjHdU/uE7Y0mlG5hcDPaCRCM9qZ0jPaR2ZVUkilVCOk486Lc1HsADEqaTDHoQHi0kwxTcVpAetdxejDS+8SJsNmdQSyJDcHshiw6byQdNywlI4dkudDu+CQd53tNz/PEQ542XN/3c8vR3jRaxfhQCR0fePL4fOq/7/u+GCfQLR7Nz2hnPzxToa3rPG7igRooUfofnmJG25QZGq3jCEbbZqEt70dRe6nw+TB8mAHC2f5AHsr7vhQLnhgPSFvEieKfTToeLY+MvIaWObWS53mp3K4JJhr7Wd3huV3HAXlGO/xzonVRKRXYZkZV5sKBfjbdlIItil23Z4Y2yGjbY5TDGG1TYy1xCHw1+u+HM4ZztAFJOt4X79V9P0wz2svN9qo9gPZLlUQpHbgZ7QSIGe2UjPZSoy2KVE6YyrqLYrSPz6/0/nyI9fWA5Bltk0ZsIkdbMdLIJKOtZIZmidGm349GCLgljoMIa7a0eoUKtznF4KzOUqMtOtq2peOe5+GybRMAgEcPzaX++0uNtvAM0C20xxXmbHWwqBGttZ3JedyEdJwOLIOqGPMz2uEyNNPqkzCUigVxD0etH+G1YVg2DgSHxNkQRtvEYZrY4NwZbcViSgZ3jNQgshiimbhPaxKjnYb8MGOGFk5oEAIzMr7X3DzePbsdm4tfG3IRwvn6MqIKDtPS8SgfElNNuDCEFtoWpeuEkYgG8ZyQjps7C9HvSXtPq90RzTVTTPpIpSiaZYMeFqdtFdrDgVJUl4A95wrt2aWmYL9UZ7SHykXxoZmY054zlDk33Suw5uutvg332Fy30J4Z5y8whRFWxCFlzoADKSGtGZXRQjtiZkaGaWkVYab3UD461127tBZMHcbooBk2o81phgYEh1FynyTWqyIVCzZx+fau0/+jh2dT/116OBULnnY3PEoCzYWA0c4iHe9laeuaoRnYS6K8FYzPaEfIhE0790YhqaCaN1A8RSGQyQbvjUnmNqujtZD5c81o9+SRcyvqoyh1w42ZyQiH6TiYuE/pnNHu+H25uUkwFe8FJDPanMzuTI8kIdIkCiuSA3fJ0N41OdLdK5ab/V4pIkfbsHR8VY62gWZKFMiErG9Gu2VufCMKYd4irXZH7NMmXcfprEL7n/xemEqk8DwvcrTmlOVCu9HupH5WDOKcK7Sf6cnGN49VU7ExgXyct9D2fV9sFNzS8bFqSTxQ5G4rdUFnDDLayWZo/De+7Ny7pMBq03tiZEZbIerJFqNNa/fobPehbFqOGhrv1ev4FZiz0+kzp0OOLBvnzmlXATHajxxOz2gHs4xF7WuPml/jAjG+aXO0AZ4Z7Y7kem1COj7YoGiYntGOyIQ3rT6JQlhxK8OkMmn1tayehasbZG7pZ6Yx/Op+P+9IzmStDOpLRn0Og1g2NLsuXxOQzmnXxIiHfD+kkY+bkI4L5cFiPZTZCvwEGAvtcWLRG0JtEwaTM/uEsWpJeK/IIwW2pOONVkfItYFAum1XOr56b7LrOr76vCk3IEyMiRLoXqQGA43CjlSKRp2/hZpxIbzQNq1orJWLopmjKx8/5wrt/SmjvQhbFKU6abHYaAu2j7vr5HleIBuelwvtbsG1ZYK/0A7mcyNm++rmJIebx6rYPllDu+PjO/tPJ34/Mdo078QJOYs2SlZCHV/TM9pbJI8BAFgmcxRDh3c6UC1Jsr6scVBJoK4mHUTzchwnEKP9/cNz4r5WxQJjE4o67XOmpOMajDa5jh+bq/cdkNJAVsyYYbQHZ7TNMtpTI6udtYFgHzWlPolClJSdEBjRmfdBCGtCrBg8TIuDY0bpONdnVSh4kYfJKJgo6mRMJKyLMJgwQC0XC0IdlYZNMlFo02fUbPuho4UrBp63G4Yrouk3OBoow8boied5oQoY0/Fe8r7fPyNtL94rzPlcRLnZTIoISRmh/XKsWjKmZgCkxmTv8541pNAdRFTEF50FNxpmtD3PE7+jK7QHsK9XaJ+fstAOZmJ4s7RJNl4u6stFwzA4p91qdwSTu9mAdHw4RDYsY16w9/yFtud5uOmCjQCAb+17PvH7T5hktHvFUrPtR8bE2GK0qdA+2lu7K8wSx0HIsj5iAk0ZVEwNuE/m5ThOOG96FLVyEcvNtvCCUMUiozmeiuu9DpY0GO2pkYpYe0fOZNtP6ffikNnLoPdtpdnpY4pInsp5QJdBDPLschMt6XUpm9m2dDyKYScEppYWGe2QeC8Tz8yhrDPaBvbVjTHuumEwGe8FSPO4KczQFg24jgP9c9oq6HR8kX7BKSseKhfFfXAyJPM8YJX5PpNCwcPmseQzqemZfcJkiGGhGHspm9kjigUvVIFk0/VbGLJJjVmbjDohLNr2jKE0o0EEZmjd952aTSbl6kAwsnFq4J6jpuQGw4U2IKut9LK0z7lCOyujTVIdbkZbNkIzIXXdNBA9cXKhgY7f3aToIc4JOhBGHVJMxnsBwE3ndwvtbz6tUGjTjPaoAQl9uQj6OKPmZJcsMdpbx7sM4pmlJlaa7YB5MSUdD5H1kUHFRmb1wGCeIhUGeTHaxYKHF2wdA5B+Tptz7jXMpIULjVZHNFBGMxyePc+T5OPZRnE4ZfYyZHmrfGhpGp7Rll1hZfnlcrN7DTZdxwH54BzBaBv02lh9LaujjISzr4HDdNaMZhMxSgFrk3zu8H0/mF03lCgR1vRIwrwB13FA9gJR2+MaUgOLu2EmDNFC2OWAVeZ9zc0KZ1JboyeDmcKdji9+7ywRkKrIW7odnqNt3wwtrLFuI0MbCEz2aK3NGo72IiQx2qZntIFwo84sOOcKbWKZVI3QCGQoddwQo21qURJbSw8A6n5uGq2yZhoTagmu4/MrZiWHxGh/7+CZWNlsp+PjZK84M8FoFwqeKEKi5mTFnKvxHO2SeNAenV0xLicrFQuCMSDW/nlDczODhhh0GN8wkg+jDQCXb+85j6ec015knGUUB4AYM76skGcisxYV2zXntE04GQPdQpoYTfm+NT2jXSoWhMpHZoVMsKQqSGS0DTdMZQSHGSneq2lOHpplRrvVDppPnJ/VYCMxDo12R6QWmI5ySjOjbepeTUo4GYTZQjs6is2UnF/FEI07ci4KG4Qip/v7y00qk2qcuHgtU+ojGeGMun1GWxgBS6OoVPyZZpZJqUHPKhFXbEk6fipiRttKoc2UpX1OFdq+7wtGO22hvWW8X37LBWGEZmhRCun4Qn+hPWNgPhtIzrc0LTncNlnDedMj6PjAvftORX7f6aWG2JC4WVbCaIJ8d8mwKyfB87y+OW0bh3ch6+v9joLRZpeODxba3X9P1PJhtAHgsm3dOe1HDqVjtDnVHiZztBd6n2mlWMh8mBFZ2hmdx01k8xLCnMdNx3sBgdRNZm5NGwpFQZnRtlBobwhhtEUBYYA1yuI6vmIor3g6wlk39Boa0jUYYtOyxHuZUj8IpYOirF52bue+j0kdGBbxZYpVDlSW0WdSE9FiYZgY2C/k5oeptQjIWdqy2iUH6XhYvJfNHG1ZidV7PgtG2/BZKDBDI+k4Fdpmnw15u44DwTnTzWhLOLnQwHy9Bc8Ddk0Np/q7KjKdLDBtHECSphMDjPaMARYXCNjZZEbb3E34ovOT57Sp8TA1UjEmBw2ytMNvwoDRNv9A2CJ5DJiIGxnEINsgnCANFdrEJARmaPkx2iJL+/BcqnzFBcZZxij3bA6IWDoNSSBFfGlLxw3sI4MOru2OD/K1M+miSgWlfHCgezWvGe0ot2uRHmFBOk6HeDk+yKThECka6ikKbWpeeh4vk0UeFCrScZKNFzxzyou08V6m0gGAYO9XdWSXM7S5x/Smx7rXcjJEeWBqTlolS9vEOEMYBrO05WZ+wYBykhAW8dVo5SEdz6fQJ1RLBXHP03OLPgvTM9r0bKJaxrZ0/KT0vGx3fMEu2xgfdDPaIdjfi/baNlFLvemRdPz5xXpsnEJaBNJxMweWQTM0Ee01bojRFgXW6gN+N4ah+96ZvAlvviB5TvvkfE82Pmqm4QAkz8lSt9lEsTCIrTKjbWFuSx4h6HR8Y06QtNmSidTpnGe0AeCimTGUix5ml5upCkl6QPJKx/kLbXFw1mgIkPP4WpOOA6sdXOX9vmzw8BY4fa82FLLtOp40ixuoL8w3tMaHVscHUcFtgjWqJfiMhEFmLTmLuDTScVmibCraMIj3Uiu0F6VzALeKLWpGMwomHMcJxGg/H8Joc7vRE2YUDHqXDSo/ZGwYGClYatpR64Upt+y6jpfFa9L6queQo+153iolFhV/pqXjl2ztKvgePngGnY4vpOOmX3fj6Op77sxSQ4zP2CBb3Ix2CJ450XMc35RONg4AU704Bd8PlwdlhWyGZgKrC+0eo23AcRyQMpRDDimyFNOk5JAY7ceOzEVK7k4sdN8H6kSbwGiCfNdU5FUYZkSW9rKxB78MOUt7drkpGMFJ5gJ4w3BFmM6dXmoK6VperuNA9yB30QwZoqnPaS9ySser4RmjHFhicEcX0nFNRttIoT3AaMuznaaYQiBQe5xalM3Q7Pg4DCIpR5vTuC8JYfFBJqXjxESlkY6bal6mko4bjm0E5AaMWnFLqq1SwWNnGAWjrVpot80V2tNjydJxbod8OsMdj2O0LY2eiFGTxX7puOnXjZvRtsEoy+dYYrXzMEOTr4WejYF03OxZ6NKt46iWCjiz1MS+k4uYXTY7DkuQ13+nd8AMRgfLRiPNCFnMIcNwbhXaPUZ7z8b0hbYcp3B0lm9O27RxgOw67vu+mDE3xWhTgdVs+6uYf9qIhitFI0ZshE1jVVw0MwoA+NcI+XjgOG6Q0Q6Z9ZSxxMAMqoIY7WdPLYmOn1HpeDkYIThFeY5DJfZDTrHgiQfJqcWGMEyyEe0QB5rTTuM8Ps8oh+4/APCy2hyxdCQdPzq30jc7qQqz0vFy32s0pesrF8xLx8+sCTO0+AME7eU2ZrQB2dW4+96YZK3o8BSXTzyIZUPKg0EPithrsNBAJYnwYqOtdN9SHv1ItcTOsgejFmqHXFk6zo3pmLxzU00YwWirmKEZZlcnaO8iMzTDGdqEONdxG2ZoxYKHkd7vSM/ZPMzQgOAcSQ1iW2ZolVIBV+2YBAB899nTQqVr+nVnxodQ8LoNNFK10F5gYz4bWL3us+LcKrRPZDNCI5iY0zadOUeMdqPVwdxKS3Q/TUvHgdVz2mKuz8Lh7OYLpgFEy8dFoW1oVh0IN1Ui+L4vZHU2Z7TlbGeTBik0v7vUaBk3p5AjcE6vgRltIHAeT2OIximHlg8A3IZoHHnf06MVVEsFdPxsjUs6RJjYS0Z7v9eikI53O1Olgmd03jCsqFrOeUZ7od4KLahsxnsBq83ZhHTcAGt0cU+N8vjReeW/s2yooCGjThUVnUk5PWFsqCQURCry8YUeo21inQRmSGrnMWrOlEv89zDJWMM+JzrjcTelyHWcYjvDYKP5AqxuzAWMtuFElTAzMosz2oA0aiQKbTvZ5YMYGxqUjttT9123ZwMA4DvPngrIQ8Pn/HKxIMjPwz1TVdoLbBXag7F2WXFOFdo0o5210FaJU0gL08YBQ+WiuAFPLtRF99NUoV0pFgRbPeg8bsMIjXCTmNM+GfrnVgrtmBntlWYQxTJs4f0g13GaGa4UC0alNbIZmulCm+bjTszXxSbPLVFPi4DRVpeOc8uh49afDoIGUfbr9DwviPg6k35O+2DvwUqz3pwYfN+aItrL7ONwsJj0fd/aQXkQ47WyKKjCuvW0Vk0b3hAGTcECgyn+z4RmDh8/Ni+SKZKwbMhgkva2uZVWojeMSTk9oVAIZPwqEV8mGzJi1ELxkGuU0Y6ZpSfjVW713HitJIrJKPWFjXECIFinx3vXQR49I4YbhGGGsw3LjPKg87nNHG8ZgyNPwViq+bPQdbu6hfb9z542Pg4rY9skeQ9RoW3PCA2Q4w5doQ2gK+d4+sQCAGDv5tFMP0MlTiEtAum4uWKLismDp5dF52WLoULb8zwMl8MN0WYtmTMAwDW7JgEAT59YDD2giIefwUI7TNZEkE1ibMhCqdCmg6NpKVlNlo5ToW1o86PM7P0nA1m86bmkJFy8pXtYPz5fjxwdGAQ3+yMOAMxZ2kt1GnnQW7c6zuMHTy31/QxODErHTWdoE6YGpOP1VsfKmEcYinJBNVDItDu+YKxsSceFmeOZ7rOX5JkmGhC7poZRKxex0uyI5nwSVgxJ/CdqZdG4TppFNtl8kJGGxSHpuIl1MjVCI0NqjHYwo82/ZojRnq+3VrHLppr6nuclGqLZatTtme7uw6cWGziz1BD7gz3peJgZmp09c9B4dCUn6fioeN4PuI5bOAtdu7tbaD99YlHs0aZntAFg6yTFhHZfM2C07Zz/Bt32s+KcKbQfPzqPZtvH5HBZGPGkRWAoxSkdN38zUCeVZKzVUsFoYV8biHYi2GCRCdMjVXFACesyB67jZhoOQLx0XJ69NDmvTpgeqaIkvY7pB29ghmZDOt5dT9RIG6uWrBhhxGG0WhIz+qrS6IWVYJ6R6xoAc4y27nUSG53FEI2K851T/Iy2kOANMNqmZ/5IhUGeBrIiyPaMNhCeXw30jyLojA+kwdYec3G4x1ysGGSNigUPF23pysd/cERNPm6qoCkUPCHLDYuOkkHNB9NNmYkUEV/UPDThpUD7/um0M9oG1sz4UEkw5YMu6HTuIZkrJ2YSxhnrFhJGgK66iZphT59YtCYdp2YyxXv5vm9dOj6YpR3kaOcjHT8+twLf90VtYUM6PjVSESbTtBfaKLTpDHHkTD+jTXuDaYRFT2bBOVNoP3SwW2ResX0isymHCen4nIXMOXLEJGOmmfEhY/EfQLTzuM1Cu1DwhJwrbG7KJqMdNiMbFCt2NuNCwesbFzB9GLMrHe/+3H0nu4X2pKVuZhK2iMac2n5BDr1cc8dx608HS0y5uNsm+mVf6q/fEodZM4x2f4Os2erSyqal43R/iDnH3v5ZKRWsNOMGEUjZ+wsHUkhUSgVrzrrbJuhAZZ7RBoAXUKF9VG30w2RkIslykwzRhCGb4c9EMNoqM9q95qGJvPUpyUdAJVlB5CsbuI89zwvm6SUZd7vjC5bNxFljszKjbf4oT4XWvhMLWKbxIsPF5qBqUE6IsFdo91/DcjMfRvvG86YAAP/4yFEsNdrivbCVwELycYINJp2aO9SApWeVLUZ7rBpET0YldKjgnCm0v3fwDAAId7wsUMktTAvqxNlhtLuHBlPRXgTqYq5itMWskjkWWcZgtBmh2e6IQwsV4yZAEtSwLGMqqmxKQqnwA8x3uIWqodkWkkfTZmj7emaHeWZoyxCFtuJ+scjspD0+MDvGhQWmWDqSfR1JaYZGbPb4UMnIvhnM/Q1Kx80+DuUc7U7Hx/6eceFmC43JMAw6fROC+Wx7kWODB6p606zh0CW9QvsxVUbbYJyRbPYYhxVLMuE0EV+LoinHf03jNemQq8BqN9pB48oEpinXV/qcnl+so+MDBc/M84/InyjncZseDxds6o5k7ju5mFu8V10ybrThOg4ETaT5lRY6HR9PH+82/HdN8TeB4/BDl85guFLEc6eW8LUnTgDojjvZUkNdvycotGUzVpPY1jtDHO41YKkBb+sMWCh4Yk48ywic+DlcF5Q3HiZGe8dE5p+RJNNJi1a7ExxaTBbavYPac725RlNGaARZNizDJqMNSNFmA4U2ScmLBc/oDTkawygGZiH2DqtyoW1POt4ONj9TjHavWUIP97yN0AhpGnOtdgcLDWYzNEPScZGjrbl2idE+dCbdA+rgaXPz2UDQ6Ahcx+3MaNO67fhd7457nzkFALh+94a4v2YMSdJxW47jQHCgOjLblUWanoMkQzRVRnvFJKMdY7TVdw0GI89kTAoztOTiNjBA5T/feJ4nRXwlF/0mpeOA7BAfXAudPTaOVo2oUpKytG01XwDg/OmA0bY1oz3YTKYGHGDG9C4MMqO97+Qi5ust1MpFXJjRCyorhisl3HbpDADgT7+5H0DXCM2kelXGddJzanyIP84vDKR0ItdxInU2GiTQBkENlWefT2/qSjgnCu3lRhtPHOt2prUY7d7BcHY5Ok4hDeQDsEl2YLCwtVVo5zmjDQQd5hMD0nG6junRitG4njBHTAIx2jZje2QDPPOMNqkaWkJSs9Ewo03IO9qLsDWFNLpbQHQPgVzv02DcBxdEjrYmSyWKpzPd4kkVB05138+sXhtJiJrRNs1oV0oFsWecWmzgvv3dQvuGniTQNiZFoT0gHafiySKj3R136hZLJ+brInLNNKN98PSyMCyNg0nmcKNilratoirNjHYQWWjmmkgiqiLbNOk6DkjnDamxL848zI7jhGQzNDuu4wBwfo/RfvrEovUc7ZVmB812R6iPqqWCtQJTntF+6MAZAN0R1Tx8Yt5w9XYAwL/2mrS2ZOMAcP70qFCY2ZjPBgLX8RMLdTRagVLVpqqRCm0iMrPgnCi0v39kFh2/W+DpyKbHqiWxYXHIx6kjPFIpGr0pVxfahqXj5fAZber0WmO0I6TjJxZWrFzHuAqjbZEV2ipLx03PaJeDZgsxMaYY7cFNda1Ix+kQpGKeSJv0zg01tuYPFUJzjIz26cUGvtMrAHUPj6SwWG62U8VjEKO905A0b9WMtiUzNCA4GB2fr+O7z50GALxwTz6FtpCyD8hy55lj6FRQKRXEenvmZOAEbmr2dHK4IvbLJxTytJcbvYLGiHScJMkJM9qWjK9SzWjXzTZlAll9cqFdN8xoU+NQlpCaJhc2JyTh1A3FzoWBZrSffX5RkAumzdBGq0Gu+5mlpvh9bc5Hy67jD/VGVK/UUM7q4CUXTvcRDzbmpAmFgidYbXuxjxVUSwX4fvceMO0HFAY6hxxY74X2Qwe6svGrdmQ3QgMoToFPPh5Ee5ldlIMHYnvS8aDQ9n2/j0m2gchC23CXmTAqMYqDjJ0taZWMGYuMNs3kLTXaxhntQZmQzS5uHLakkI5Toc0510Wddk5G+3f+3+M4vdTERTOjePklm7V+1lC5KNYEzVipgA6yphjt0UGDHUtmaEBwQPjnJ09ipdnBhuFy5jhKXUyOhDPa1Dgcs3SYItBMvxy5ZdKMTcxpqxTaVqTj8WeOuq14rxQz2gvMvhODoPslKfoMkOO9zLw/O0TUkFRoGzZdpWd6lHTcphnatokahsoFNNs+njjWnVM2PadbKgYNuGNzK9ajvYABRrs3onrVzklrry+jXCzgtVdsFf9vO+aUCm1bBb7neaLB9fSJBbHebRbau6e6DaZ1z2h/7xA5jk9q/6wkl8c0mFs2b4QGrDbTMV1oh5mhzS23xINu2nCBS4gqtG0x68T4NNt+n0kHkM+M9laLM9q0Bk4vBpmaphjt1dLxtcFobxHScfVCe/fGEbbXD0xaeMzQHjpwBn9x73MAgN96w+UshSfFNqVxHj9AjLahGe2xan+DjAoKG00xkmt/8dGjAIDr90xZk0AOIjBnG5jRrptzko4DzfST6WG56Bl1Yxdz2keS57SNzmiPRKdnhF2DadfxiRQz2qbn+dPMaFN6gKlCe/sGiisMDtymGW06y83XW0KmL0M40VsoPAsFD3t6zy+K2rTBpMvP2brh8YAwEKN9arGOxw539wqdEVVdvPGabeK/bTLaAPAj12zHdbs34M0v3GntNelc+2jvvS8XPatqKycd70HIOXbqyznSsFRJmLUQ7QV0CxH5rJbHjDbJtceHSlY2fSBgrAcPKLZmxeUiepBVzN11vGL21qY1QN39ctEzdjCvlop9G+uaYbR77/fzi3UhP47Cc8/zy6EHHVl10O74+C9/+wh8v/swvfH8jdo/EwC2kplJCudxwWgbyNAGAvat43dn/4iluHTbuJHXkzHVW7tP9pxr85KNA7IZWv4z2kCwVvb1pOOmC8rAebx7gPN9Hz84OodWyL0sChoD+/mujd09Yd/JxVgvA/uu4woz2swGj4NQnV8HJNdxQ0UYKWwOnVkWn5Np9dxotSRY4+PzqxsxNs3QgMB5nJbpsAUigc7kR+dWAum4BQafQOeax47Mo9HuqpB2Gno2qeDaXRvEWpywfBbaNlnD//mFm/HDV25L/mYm0HOB4os3DNszgAOCQvvEfL1PxZsGZ32hPb/SFB3wK7frF9ozCTMxaWBLOl4qFkTmJGB+RjvMdfy4ZSM0+bWipOOmmfVCwYt0fs5jRnvzmEUztN7Ppw6z6c1PZrXXiuv41HAF5aIH3w8/BMkwKh1nKLQ/d98BPHxwFmPVEu58zSXaP48gsrQVncfnV5rigG/KdXy4UhSNyfl6Ew/0ZqWv2Wne/Xtw7eZlhAZIBdUAczmfg+s4EBjfUOyZ6cP0C3qM9uNH59Hu+PiVv34Yd/z+N/CJr+9b9b0mpeMXbBqF53UL27hZ5BWSjhtu3k7UyAxNQTpumtGmQjuFGZqp+d2tEzV4XvdzoM/JxrknzhBtxaIZGgBcsKlfkWVDBSRiNGeXJTM0+9LxdqfbXbhyx2RuKiSgK6d+x817AABX5yRht4ntvecCxRfblI0D3WYG+TEdOJ2N1T7rC22SjW+frGEjQ2EVbGr6M9qC0a6ZP7DQRj82VDLeZRwqhzDaORba8/VWX6fJ5rXQPPpjA/LDxRxmtCulgmgumH7wDv5epjc/+eevFdfxQsETzY2jCdJoE4X24KyxDv76/gMAgF965YV9DRtdbBU5mGqFNrHZG4bLxg7vnhc0yI7N1kVixTW7Jo28ngx5HdfKRVxmgUWPwobhoKCSmVRS59ie0aZZPIpRMX2YPm96BJViAYuNNt77F9/FX99/EADwcE8hJ8NkoT1ULooxiad6SocwiHlcw0ZQtL/OrbQwm8Bq2zJDO5UQfQaYj/eqlApiTO9Qb5862TtrDI7vcSLKEK3d8UXhaavQJudxgnXpeNNsMyUMYwNrO6/5bBnvfMl5+Nadr8Drr7LHLOcFOkPQGcp2oQ0EqqPnMkZ8nf2FtjAn4HEB5J3RtiMdB4Ki0rRsHJCk45LreDAXbf71CaPVkthwZfm4MCixMCv+mp4xxWfvO9D3da4s4rSgeRbTrMdgM8duob02GG0geL/jnMdnl5qi6cYpOZPdUHVBTs837+WRjBPo/VGVjgdGaGbYbALJAb/59El0/C7zbmPvlJtE1+6etGLAFgVitJttXzQGAYmltC4d777/VDyYNngqFwu4cKZbOPzD946Kr4d5LogZbUMjOZTJ+2RMoW1LJjw1UhGy+rseOBj7vQuGHeqnIgz7wiDM0AzeU9sHDNFsNPWjDNHkCFpb0vHzc2C0aV/oM0PLsdC+mqnW0IHneT2FRX7Mui1QA5ZgygsoDiJLO+Oc9llfaD98kM8IDeCd0SbpuA3DAioqTcvGgXDXcVtO3zI8zxMPuONh2ZYWGO2fuKFrCvGNJ0/02f9zZRGnBT2UTBf4g51sm4X2WpnRBoCZiWB+LAokN5oerbKqTWRTr05HPad6ELNLTZzuMVecZm1AcDBVNUOje8j0DBwVkd948iQA4Jpd5mXjQL90/IYc57OBLgtG7J/s6jyflxnawIHKhjz0ki2BouAnru/u5WEO+aZNp/b2Cv6njkU7oK+0qAFh9n3xPA9veeEuAN0GctTceLvjC1XbWjBDMx3vBQQNwIOnl7DcaIsmZx7ScbnQtlV4njc9UGiXze8R9Pt3zdB6c/hWC+3+88aVORqhrUdsm+hvgJtKt4mDbsTX2V9oHzoDoBvtxQE53ivOmEQFsz3XcRvh7oLRtsAok+O07IIp5qLH7N4Eg3PaS42W6LLbKLR3bxzBi/duhO8Df/WdgNVezkE6DgA/d8v5eN1V23DH5VuMvo5t6ThtrqWCXcfJJAijlphCMpCN8xaPdADw/cCUKAsoTmnTWJX9vSXZ19HZFaVmgC1Gm37Pe3uZ4TZk40D/fZKnERrQLajCnMeDeC+799n0aBUlyWXcRmTRa67YgpFKEf/fHRfj/7vjYgBddRQd6AmmM6z39iS5T52IZrTrFqOc3nj1dlRLBfzg6DwePHAm9HvkPcd4vNfAeEMYTEvHAdl5fFmo6IbKBaPPJCo0Dw88Y5alTOmCQXd+GWND5T6ZvA3pOJlhHZ2VGW27I3nUyNg+WbOWquPQxdZBRjsHRaOu8/hZXWgv1Fs4cKq7+XA5xtKmttxsa0syj/c6kDZypW+/fAv2bh7F6642P7NBrCkdigG7cm0Z9Hr0+iSBnTQ44zmIN9/Q7f7/5XcOCsdaOoTYcOWUccOeKXzkLdcYl8GWiwWUi8HD3RajPWnZcTIJQjoe4+lgYj4b6B7wqDDRydKmQnvPRv7idmasioLXlSefXEz2vQiivcwy2lQY0OHcdqFdKnjWWPQ4hDmPzxuWA0ehWPD69i0bcthXvmAG3/uN2/GLt+7F1EhFHKiPzYbLdE0VFhfOdKXaTx5Llo7bmMedGC6LvN7P3nsg9Huo0V4uesYYVbpfmm0/8TxG97LJcQxZOi4boZl8JtFYwQ+O9KsdTK/JKMjycStmaL09YanRFlnzNl3HgaDpyDWi6qCO0WpJmJEBOc1or+dC++nj3Y1n81iVzYl4qFwUUu/jmvJx6kAOSuJM4NpdG/Dl978ML794s/HXumhz91Bw6MyyMGLKwwxNfj0yJSFjo4tmxqwVZLddNoMNw2UcnVvB1544gdnlppinsj2jbRNyE8FWob1WjNAIQtYXM4NsqtD2PE8yRMteaJP51B5m2TjQTUQgc7UjIZLcQVib0ZYe3OWih8u22TlAXTQzhjdevQ3vv+0i6wfkMNAYhlxo5zWjDQSFDGBPDktsYHfuMYI9bJgtcsnN+fh8PTK/etlylNObe/Lxzz98OLSRR+tkpFoy9qwdKhdFMXc6QT4uZrQtMNoHTy9bG5cjEumZ5xf7VITChd4iuwv0G6LZaPrUKsGZfL8wSrRdaHdfP8/87PUMuYbKo9DePdXdnw+cWso0pndWF9rk0Hlxz7iDCyQff7oXG5YFnY6Po73D99YJ83Jum5gYLosu4xO9DnzehTYx2o8f7a2JGd41EYdqqYg3XbsDAPDbX/gBXv7hr+LQmWV4XhBZcy5C7mab3vzoHifzorUC4Yg6Fy0dD+aO+YtHYiQHXe/TgOKU9kzzF9oAsLV3D6g4jx8kRtv0jLbE1l66ddxa8VIsePj9N1+DX7x1r5XXS0LgPB4Ud9S0Gavab2ptnbTLaA9iW4hLvu/7xqXjY0NlcU6Ich4XhZUlNu+GPRtwwaYRLDXauPvBw6v+3LQRGoHWaFz0GWA+3gsAdkwG0nGh4jN85pkerWJmvArfB35wNNjnl3NitClLu1YuWpOs073xbE99ZVM6DgDn956NL947bfV1HbrIu9DeOjmEYsFDvdUR930anNWF9pPHuzfdRcxF1c0XdG+mP/76vsxz2icX62i2fRQ8O07gtnFRr/B54lg3g/TUYs6F9ipG225B9uYX7uy9/gJOLTawd/Mo/tfP3LgqDuNcgvyAnzI8N3Pljkl88X234MM/dpXR10mLLVIcYNReQYwxN6MNQMR7fOSfnhI5n2kRSMfNFNrbejN2Sc7js0tNUeRtnzQ9ox0UkeshizQKkwPS8Va7Iw7wtme0gWAeE8in0KbXl53HG+0O6NYymeawtycRfup4uCHaipjJtfO+eJ4nxqI+e99zq/7cVqG9sTd6l8hotyy4jvcY7fl6C0/3GiI2zjykuHn0cFBo23KhHwRJx236z9AZ+tmcGO0/eMs1+OL7bsHl2510PA/IhFUeM9rlYkFcQxb5+FldaNNGx81e/sKtF6BaKuA7z57G13uutGlBMsnNY0O5RriYwkW9Q8ETx+ZxarGBjg8UPGDjSE4z2iHScZvYu7krCZ0ereK//PCl+Md//1K85MJzu/vZx2hb8CG4eMuY9Zn3JNABoNHqCOduGa12R0TB7DIwA/3Ol56HiVoZTx1fwN0PHcr0M0iOt9vA9QEBG3EkgdEO3NkrxlkaWRa9Fmal88KgGdpiPTABM2VwFQf5QGX7MC2/vsxorzQ64r9NSmWp0A6b0+50fGEEZbOw+tFrtwPoprsMFrqLlhntJOdx+nOTKS/DlZJg1MgkbtOoeSLl0q1d+fijhyRGu2HPHE/Gtbs2YOvEEF5q8XxDzxCai7e9N4xWS+zKWQd1yA3YjRbOmmEQc9oZsrTP6grwyV7nl1tOOjM+hJ980W4AwO/9v8czsdoUZ7P1HJUOy4w2FblTI1UULUmJCNMSo71Qb4kZT9uFNgD8/puvwXf+86vwzpecd042VwYhR3uYZrTXKiqlgnBED4uwOjK7gnbHR6VUMJIIMD5UxrtuOR8A8AdfflKY8alidrkpDqimpOPbJlezhGEg2bjp+WwAGJVi92wZoa1FTIpCu7sGKJKyWipYjdAhrEVGmxj+UsEzuq9f2PM+CXMepyIbsCsV3jhaFfE6+072X9e8NKNtElTYxhXanY6Pg73miIkRHRnkI/D9Hrtsh9HuFtrfl0aEKO7Nxpy0jIlaGf/yH1+B//ETV1t7zS0D45d5NOEc8oPs3ZFXvKtOlvZZvVpPLnQ33gsNFFW/cOsFqJWLeOjgLL7y2PHUf/9Qj9HeNmHeCC0PkIrg8aMLYmbBhrv6IGTXcWKzN49Vcwm1X2+QD3zr+f2mQ8BgzikQyIx2bqgZm2d7x817MDVSwf7nl/B/v5uO1aaZt+lR/mgvgmAJE7K0AyM083smScenRipGJP1nCwLpeLfAJjlwHrJxYIDRtszUAeF+AqbnswlEGIQx2nJm8pDlIuO8nlR434BnjZCOG14rotBeii60Ty7U0Wh1UPBWF2XcoEM/ma/ZKLTJEO3xo/No9l73VO/cZbvQBroGgjbTP7YMjF9Wc/idHfIDKRpGqyXr8/kEnSzts7rQBrqHMhMHxOnRKt5+8x4AwO996YnUTnMkkzzXjNAIdCg4uVDH40ftdXYHQa/ZaHVw//7TAPjN8RzCQdLxsaHSumDwoxBkaa82yTDlOC5jpFrCL7zsAgDAH3zlSTGrqAKSjZ83be76BEuY4DpO83emGSkAOK/H3t9y4fSaiouzjcAMrVvEBIV2PqyB3JjO40C1PcQMTUh0DTPJlKV96Mxyn7s0AKy0Ala9ZHmvPX+6e137TvYX2kI6bnicRxTaC9GF9oHTdN6qGX8WDTYCN1s49+zcMIyxagmNdkeY5X3psWMAgOv2nPujL47RXt+4YscELtw8ih++cmtu16AT8XXWr1aT7tL/7pbzMVot4ftH5vDNp59P9XdJejYYtn6uYLhSEs7A9N7kUWgPlYuCffmXp7vz9CTBczALYrQ3rmM2GwBmKEs7hLG1UWgDwE++aDemRys4dGYZ//qM+l5FjuO7DRmhAQFLeGx+RbAxYXi6J5k935CEXcaLzp/CP/zSS/HffuQK46+1lrFBxHv1GO0VO3O3UZgcLouZU9uzp0DQGJ9baYlC0hajvWGkIlRhg+xx4Dhuv/lwvmC0B6TjlhjtsKz3QdDYyXYLapjB17Bx7ikUPLyA5OOH53Bivo5v9c5dr7tym/HXzxuu0F7fGK6U8KX3vwz//U1X5nYN67rQNiEbJ2wYqeCHLp0BANz/7OlUf1dkaJ+jjDYQNDnufeYUgHwKbfl16Tou3nLuOn2vJRCjvZ5l4wCwlRjtOOm44UK7VinihedNAQhmB1VAjuPnGSxup0eqKBc9+H64vJ5AxcUFm83fv57n4dJt47kYfq0lDLqO04x2XoW253mC1badDwx0mfyx3u9OngsrlgptQDJEG3Aez8thGgj2hmciGO21MKNtc+xk+wB5YsucSRiiHZ7DPz5yBB0fuGrnpBUFUN7YOt7/nufhH+GwvkGF9on5ulA5qeKsX62mi6ord3Tt/B8+eCbV3yOZ5LZzlNEGAsOxpd6io3lp26DXpevIwwhtPWKkJxl0jDYV2qul4wcsMdoA8IIt3YNYmkztZw07jgNdNkbkjUcYoi3WW6JRccG0a5TZAjHa8ysttNoda3O3caBnZh5FJSDPaXfXoy3pOCAX2v3sMRW1ebD8lJu8//mlvgjBBZG3vpYKbfP7rMxoTw6XrY04kCHao4dn8XcPHQEAvC5HKa1NjNdKfY2uvOZ0HdYvJocrYi+S8+xVcNYX2qaLqit3TAIAHjo4q+w+3mx3cHyepOPnMKM9MAudN6NNMKlycAhAkv3pnBosawUiSzukiBTScYOFLOEFW6nQDs/hDQNJx01laBNoTvtwRMQXsWUbRyqYyMlVdD1CjkI6s9wMiqccC+2ffvEe3HLRJrz8kk25vH7gPN5dq4F03Pxxicaevvn08+IM8cihWbzvcw8CyKdxv22yhkqpgEar03f/LvSi4MyboXXXaHyhTYkF5t8fuZi3SS6QIdpDB8/g3v1d9d5r10mh7Xlen3zcSccd8sDVOycBAN997kyqv3dWr9aCF3RbTeHSreMoFjycXKiHSkPDcGxuBR0fKBc9TFvOlbaJwVnovAptudDbPmnGHM9hNX7k2h34iet34h0v3pP3peQKkRM9MKP96OFZnFlqolz07DDavYPY0ycWUG8lS5vmVpp43nC0F4Hkls9GZFCK+exN5uezHQKUigXBaj91fCEwQ8txD33lC2bwZz/zwr6oL5vYNshoW5SOX9U7yD104Axe+tv34N9/9gG86WPfxMHTy9g1NYzfesPlxq9hEMWChz29RuHT0pz2Qr07ZmBeOt59vs+ttCI9Hg5ZlI5P1ILxAptnngs3j6Fc9MS8/gv3TOV2j+QB2Xk8j0QCB4dre1Gg330u3SjxWb1ad00NG5eX1SpFwZo/dGBW6e+QPHLLxJCxSJ+1gPM3jfTlZucmHZceds5x3B62T9bw2//mSlzSkyyvV2ydrMHzugfBp6TZyr/6zkEAwA9dOoNhw868QNcPYnyohFbHF860cXj2ZLfoNRntRbhud9cZ9/MPHQ5VBtF89vlONm4d5EPymW8/K7KR85SO541tA+oLMaNtQTp+9c5J/NnPvBDX7ppEvdXB3z54GPVWB6+8ZDM+/56X5PZ8E87jkknbYo/RNt2UmaiVQcEAYYZofRnaFqTjQCAft1loV0qFPgXnD1+1PthsQj+j7aTjDvZx7a7uOeaBlJ5dZ3WhvdeCaQ4AXLm9O6f9vUNnlL7/sIj2Ore7jUPlouh0A2tDOu7msx1sY7Rawm29YuWT//wMgG7c3N8+2M20/rHrdlq5Ds/zUsnHyQhtjwVZ++uv3oZauYgnjy+EdoMdo50fKMbyC48cFZ9DXvFeawGUFEIN86O9f9tolgHALRdtwv/5hZvxv3/2Rtxx2Rb86msuwR+/7fpcRyooS1s2RFuwZIZWLHiY7I04nF5srvpzmxnaBFLo2CYXyBCt4AGvvnz9FtrODM0hD1y1cxIFDzg8uxI6KhiFs3q17rUU43TlTjJES8don8uO4wTqsJeLXt+8n030M9qOEXOwj5996fkAgP/z3UN4fqGOrzx2DKeXmpgZr+KlF05bu46g0E426xDz2RbitMaHymKe8C/uPbDqzwWjbXgUyGE1Lts2gRfumUKr4+MbT3YjEtfz+A09tw/PLqPd8fG3Dx4GALxkr7372PM8vHjvND7+U9fhXbdckLsyjiL39p2UpeP2ouA2j3U/k4dCTGltZmgTrulJSC/bblfNdXXvdV+8dzo3YiMvbHUz2g45Y6RawsVbAq8EVZzVq/VCa4z2JIBuoa1iiHaEGO1z2HGcQAzyptEqPC+fw4DcVXaMtkMeuH73Bly1YwKNVgef+fZz+Kv7u7LxH712B0qWDn9AwHgoFdq9eWkbjDYAvPmGLrP/dw8fFjFSQFf6SUzZBY7RzgXEahPyNEPLG4LRPrOCbzx5AofOLGOiVsYdl2/J+cryAzXAnpGk4zYz1994zXYAwMe/+nSf8zlgN0Ob8Iu37sU9/+FWvPHq7dZeEwB+/Pqd+M3XX4YP/Zv88oTzwsy4k4475I/rdk8CAB48cEb575zVhfbezXYOZRdvGUOlWMDsclMprPzw7Lkf7UUgBi3PpgJ1OivFgnFzPAeHMHieh3f2WO1PffMZfO2JEwCAH7tuh9XruGRrt9H02JG5xKbg48e6xbgNRhvozmnv3TyKlWZHsIRAN398udlGqeCti0zYtYjbLpvpY4zWM6NN78Nys41PfG0fAOBHrtmeW9zYWgAx2odnV7DUaOHo7IowibOhZPupm3ZjcriMfScX8XcPH+77M5sZ2oRCwcN50yPWyYVysYC337znnB9LDINjtB3WAmhO+6H1UmjvMhxJQ6iUCsLRV0U+TjPa60E6/spLNuOXf+gi/JcfvjS3a9g4WsWH3nQl/uDNV6/rw5BDvnj15VuwbWIIZ5aaaHd8XLd7g3Up9EUzYyh4wOmlJo6F5HoTTi7U8cihbqH9wj1TVq7N8zzBan/uvufE10k2vmvjsDXpp0M/ysUCfvJFu8X/r+cZ7aFyERt7eanf2vc8AOAtL9yV5yXljg0jFeFO/8zJRXz6m/sBADeeN2Vldny0WsLPvPg8AMBH73kKHYnVtpmh7ZAf+szQnOu4Q06gQvv7KWJUz+rVavNQRoZoDyvo8mlGez10HUvFAt77ygtFvlxe+PEbduLVV6wvcxCHtYVysdAXdfbj19tls4FukUDFfZx8/Os9xv3SrePYPG6vIfij1+5ApVjAI4fm8MihbtOS5j6d43i+ePMNO4XJEGUXr1dsnQzuiWt2Tbo0CwTy8UcPzeHP//VZAIE3hQ28/eY9GKuW8MSxBXzx0aPi6zYztB3yw/RIFRtHKhgqF3LzA3Jw2L1xGFMjlciowTCc1YW2TVy5Q80QbaXZxqleNu22yXOf0XZwcAjw5hfuwvRoFdOjVbz2ym25XAONc3w/ptAmafutF2+yck2EqZEKbu/NuhIrRoy2m8/OFxtHq/jDt1yDX33NJdaMRtcq5Cb5W25Y32w24byefPwPvvIk5lZa2LNxGK+8ZLO115+olUUj8yP/9JQYjbGZoe2QHwoFD3/18zfhrl98sbUEAAeHQXieJ/K0VeEKbUVcuWMSAPDIodlVZhwyiM2ulYuu6+bgsM4wPlTGF9/3UnzxfS/Nbc71BdKcdhjaHV8w2rdebO+gTPiZ3mH5bx88hMNnll201xrCbZdtwbtuuSDvy8gdNPY1Wi2tu7ziKND9eag3GvfOl5xn3Q39Z158HoYrRXz/yBzuefx4LhnaDvnh/E2jopHs4JAXrunJx1XhCm1F7N08ilq5iMVGG89IEReDCBzHh3Jz4XZwcMgPG0er2Gg5X1UGHUR+cDR8hujhg2dweqmJsaFS6s4sB67ZtQEvOn8KzbaPT/7zMxKj7aTjDmsDV/VGoX7ihp2OPetBHu2YqJXxJstGj0B3VvytN3YVBh//6r5cMrQdHBzWN651hbYZFAserujNaX/r6ecjv++QMEJzMiYHBwf7oIivfScWsNJzBpbx1ce7bPZLL5y2Gj0m4+df1mVN/+Le58Se6TK0HdYK3nj1dtz9nhfjV1/zgrwvZc1AVpy89cZduTUg3vmS81Euerh3/ync/VDXgdxmhraDg8P6xlU7J1BMoeZxO1MKvOrSrszy8w8fifyeIyLay3VXHRwc7GPzWBVTIxV0fODRw6vl418l2fhF9mXjhJddtAkv2DqOpUa3ETA5XMZUz+nZwSFvFAoertwxmeowda5j98ZhbBguo1Yurspdt4ktE0P4kV6u9u9/+UkAdjO0HRwc1jeGKyVcv1ud1XaFdgqQudF9+0/haK+gHsSR2Z503DHaDg4OOcDzPNx0wUYAwF0PHOz7s+cX6iI54ZaL7BqhyfA8Dz//ssCx+HxLWd4ODg7ZUC0V8X9+4WZ8/r0vwYzFpIIwvOuWC+B5wEK9BcAZoTk4ONjFJ99xg/L3ukI7BbZP1nDd7g3wfeDvv7ea1W62O/iXp7qy8t0bnTGHg4NDPnhrL/f3ru8eEodRAPjGkyfh+8AlW8Zyn2l87RVbsXOqe0B2snEHh7WP8zeNYu/m/O/VvZtHcdulM+L/XYa2g4PDWoUrtFPidVd2HUj/7uHDq/7sr+8/iOdOLWF6tII7ehE2Dg4ODrZx0wUbcf6mESw22vibBw6Jr3/psWMA8nEbH0SpWMCvveZSbByp4IevdM7ODg4O6iCfB8Ax2g4ODmsXrtBOiddcsRWeBzzw3BkcOLUkvl5vtfGRr3TnhX7h1r3OqdTBwSE3eJ6Ht964GwDwmW8/C9/38U8/OIa/7/lLrJVG4B2Xb8H9/+WH1kTh7+DgcPbgml0b8KoXzKBU8FLNSzo4ODjYRK6F9kc/+lHs2bMHQ0NDuPHGG3HvvffmeTlK2Dw+hBed151/lOXjn7vvAA7PrmBmvCriJxwcHBzywr+5dgeGygX84Og8/vGRo/gPf/UwAOAdN+/B1b34IgcHB4ezFX/01mtx36+9yo2eODg4rFnkVmh/7nOfw/vf/3584AMfwHe/+11cddVVuP3223H8+PG8LkkZP3xVV+b4+V60xEqzjT/8p6cAAO95+V4MlYu5XZuDg4MDAEwMl/G6noHje/78uzi12MClW8dx52suyfnKHBwcHPRRKRWwwaUVODg4rGF4vu/7ebzwjTfeiBtuuAF/+Id/CADodDrYuXMn3vve9+I//af/1Pe99Xod9Xpd/P/c3Bx27tyJ2dlZjI+PW71uADi12MAN/+3LaHd8XLtrEov1Nh4/No/tkzX80394GaolV2g7ODjkj4cOnMEbPvovAIDhShGff+9LcIFjfxwcHBwcHBwcMmFubg4TExNKdWgujHaj0cD999+PV73qVcGFFAp41atehW9961urvv+DH/wgJiYmxD87d+60ebmrMDVSwSsu6c4Ufve5M3j82DwA4H2vutAV2Q4ODmsGV+2cxHW9+cX/+obLXZHt4ODg4ODg4GAJuTh2nTx5Eu12GzMzM31fn5mZwQ9+8INV33/nnXfi/e9/v/h/YrTzxO/++FX4132n0O50AADjtTJuOn9jrtfk4ODgMIhPvv16HDy9jMu3T+R9KQ4ODg4ODg4O6wZnhTV2tVpFtVrN+zL6MD5Uxg9dOpP8jQ4ODg45YnK4gslhN8fo4ODg4ODg4GATuUjHp6enUSwWcezYsb6vHzt2DFu2rI3YGQcHBwcHBwcHBwcHBweHLMil0K5UKrjuuuvwla98RXyt0+ngK1/5Cm666aY8LsnBwcHBwcHBwcHBwcHBgQW5Scff//734+1vfzuuv/56vPCFL8Tv//7vY3FxET/90z+d1yU5ODg4ODg4ODg4ODg4OGgjt0L7J37iJ3DixAn8+q//Oo4ePYqrr74aX/jCF1YZpDk4ODg4ODg4ODg4ODg4nE3ILUdbB2nyyxwcHBwcHBwcHBwcHBwcdLHmc7QdHBwcHBwcHBwcHBwcHM5VuELbwcHBwcHBwcHBwcHBwYERrtB2cHBwcHBwcHBwcHBwcGCEK7QdHBwcHBwcHBwcHBwcHBjhCm0HBwcHBwcHBwcHBwcHB0a4QtvBwcHBwcHBwcHBwcHBgRGu0HZwcHBwcHBwcHBwcHBwYIQrtB0cHBwcHBwcHBwcHBwcGOEKbQcHBwcHBwcHBwcHBwcHRrhC28HBwcHBwcHBwcHBwcGBEa7QdnBwcHBwcHBwcHBwcHBghCu0HRwcHBwcHBwcHBwcHBwY4QptBwcHBwcHBwcHBwcHBwdGuELbwcHBwcHBwcHBwcHBwYERrtB2cHBwcHBwcHBwcHBwcGCEK7QdHBwcHBwcHBwcHBwcHBjhCm0HBwcHBwcHBwcHBwcHB0a4QtvBwcHBwcHBwcHBwcHBgRGu0HZwcHBwcHBwcHBwcHBwYEQp7wvIAt/3AQBzc3M5X4mDg4ODg4ODg4ODg4PDegDVn1SPxuGsLLTn5+cBADt37sz5ShwcHBwcHBwcHBwcHBzWE+bn5zExMRH7PZ6vUo6vMXQ6HVx00UW4//774Xme1de+4YYbcN9991l9zbm5OezcuRMHDhzA+Pi41dcG8vmd3evagVtb7nVNwa0t97qm4NaWe11TcGvLva4puLV17ryu7/uYn5/Htm3bUCjET2GflYx2oVBApVJJ7CKYQLFYzOUGAYDx8fFcXjuv39m9rj24teVe1xTc2nKvawpubbnXNQW3ttzrmoJbW+fG66rWoGetGdq73/3udfW6eWK9vdfr7XXzxHp7r9fb6+aJ9fZer7fXzRPr7b1eb6+bJ9bbe73eXjdPrLf3eq18xmeldHy9YW5uDhMTE5idnc2tA+dwbsKtLQdTcGvLwRTc2nIwBbe2HEzBra31ibOW0V5PqFar+MAHPoBqtZr3pTicY3Bry8EU3NpyMAW3thxMwa0tB1Nwa2t9wjHaDg4ODg4ODg4ODg4ODg6McIy2g4ODg4ODg4ODg4ODgwMjXKHt4ODg4ODg4ODg4ODg4MAIV2g7ODg4ODg4ODg4ODg4ODDCFdoODg4ODg4ODg4ODg4ODoxwhbaDg4ODg4ODg4ODg4ODAyNcoW0JX//61/G6170O27Ztg+d5+Ju/+Zu+P/c8L/Sf3/md3wEA7N+/H+985ztx3nnnoVar4YILLsAHPvABNBqNvp/z8MMP46UvfSmGhoawc+dOfOhDH7L1KzrkBN219dWvfjXye+677z7xc9zaWn9IWlsLCwt4z3vegx07dqBWq+HSSy/Fxz/+cfHnp06dwnvf+15cfPHFqNVq2LVrF37pl34Js7OzfT/nueeew2tf+1oMDw9j8+bN+JVf+RW0Wi0bv6JDTtBdW/v374/ct/7qr/5KfJ9bW+sPSWvr2LFjeMc73oFt27ZheHgYd9xxB5588knx527fcoiC7tpy+9b6gyu0LWFxcRFXXXUVPvrRj4b++ZEjR/r++ZM/+RN4noc3velNAIAf/OAH6HQ6+MQnPoFHH30U/+N//A98/OMfx6/+6q+KnzE3N4fbbrsNu3fvxv3334/f+Z3fwW/8xm/gf/7P/2nld3TIB7pr6+abb171PT/7sz+L8847D9dffz0At7bWK5LW1vvf/3584QtfwGc+8xk89thjeN/73of3vOc9uPvuuwEAhw8fxuHDh/HhD38YjzzyCD796U/jC1/4At75zneKn9Fut/Ha174WjUYD3/zmN/Gnf/qn+PSnP41f//Vft/I7OuQD3bW1c+fOVfvWb/7mb2J0dBSvfvWrAbi1tV4Rt7Z838cb3/hG7Nu3D3/7t3+LBx54ALt378arXvUqLC4uAnD7lkM0dNeW27fWIXwH6wDg33XXXbHf84Y3vMF/xSteEfs9H/rQh/zzzjtP/P8f/dEf+Rs2bPDr9br42n/8j//Rv/jii7Wu1+HsAcfaajQa/qZNm/z/+l//q/iaW1sOYWvrsssu61snvu/71157rf9rv/ZrkT/nL//yL/1KpeI3m03f933/H/7hH/xCoeAfPXpUfM/HPvYxf3x8vG+9OZy74FpbV199tf8zP/Mz4v/d2nIYXFuPP/64D8B/5JFHxNfa7ba/adMm/4//+I8jf47btxwGwbW23L51bsMx2msQx44dw9///d/3dU/DMDs7i6mpKfH/3/rWt3DLLbegUqmIr91+++14/PHHcfr0aWPX63D2QGVt3X333Xj++efx0z/90+Jrbm05hOHmm2/G3XffjUOHDsH3fdxzzz144okncNttt0X+ndnZWYyPj6NUKgHorq0rrrgCMzMz4ntuv/12zM3N4dFHHzX+OzisTaRdW/fffz8efPDBvr3NrS2HQdTrdQDA0NCQ+FqhUEC1WsU///M/R/49t285JCHL2nL71rkPV2ivQfzpn/4pxsbG8KM/+qOR3/PUU0/hIx/5CP7dv/t34mtHjx7tuzEBiP8/evSomYt1OKugsrY++clP4vbbb8eOHTvE19zacgjDRz7yEVx66aXYsWMHKpUK7rjjDnz0ox/FLbfcEvr9J0+exG/91m/hXe96l/iaW1sOYUi7tj75yU/iBS94AW6++WbxNbe2HAZxySWXYNeuXbjzzjtx+vRpNBoN/PZv/zYOHjyII0eOhP4dt285qCDL2nL71rkPV2ivQfzJn/wJ3vrWt/Z1xWQcOnQId9xxB37sx34MP/dzP2f56hzOZiStrYMHD+KLX/xioprCwQHoFkPf/va3cffdd+P+++/H7/7u7+Ld7343vvzlL6/63rm5Obz2ta/FpZdeit/4jd+wf7EOZxXSrK3l5WX8+Z//udu3HBJRLpfxf//v/8UTTzyBqakpDA8P45577sGrX/1qFAqrj8Ru33JQRdq15fat9YFS3hfg0I9vfOMbePzxx/G5z30u9M8PHz6Ml7/85bj55ptXGVFt2bIFx44d6/sa/f+WLVvMXLDDWYOktQUAn/rUp7Bx40a8/vWv7/u6W1sOg1heXsav/uqv4q677sJrX/taAMCVV16JBx98EB/+8Ifxqle9Snzv/Pw87rjjDoyNjeGuu+5CuVwWf7Zlyxbce++9fT/bra31jTRrCwD++q//GktLS3jb297W93W3thzCcN111+HBBx/E7OwsGo0GNm3ahBtvvFGYfxLcvuWQFqprC3D71nqBY7TXGD75yU/iuuuuw1VXXbXqzw4dOoRbb70V1113HT71qU+t6pDddNNN+PrXv45msym+9qUvfQkXX3wxNmzYYPzaHdY24tYW0HXM/NSnPoW3ve1tfQcKwK0th9VoNptoNpur9qFisYhOpyP+nxzrK5UK7r777lVqiptuugnf+973cPz4cfG1L33pSxgfH8ell15q9pdwWJNQXVuET37yk3j961+PTZs29X3drS2HOExMTGDTpk148skn8Z3vfAdveMMbxJ+5fctBB3Fri+D2rXWCnM3Y1g3m5+f9Bx54wH/ggQd8AP7v/d7v+Q888ID/7LPPiu+ZnZ31h4eH/Y997GOr/v7Bgwf9vXv3+q985Sv9gwcP+keOHBH/EM6cOePPzMz4P/VTP+U/8sgj/mc/+1l/eHjY/8QnPmHld3TIB7pri/DlL3/ZB+A/9thjq/7Mra31iaS19bKXvcy/7LLL/Hvuucfft2+f/6lPfcofGhry/+iP/sj3/e66u/HGG/0rrrjCf+qpp/r2rVar5fu+77daLf/yyy/3b7vtNv/BBx/0v/CFL/ibNm3y77zzztx+bwfz0F1bhCeffNL3PM//x3/8x1Wv4dbW+kTS2vrLv/xL/5577vGffvpp/2/+5m/83bt3+z/6oz8q/r7btxyioLu2CG7fWj9whbYl3HPPPT6AVf+8/e1vF9/ziU98wq/Vav6ZM2dW/f1PfepToX9/sFfy0EMP+S95yUv8arXqb9++3f/v//2/m/7VHHKG7toivOUtb/FvvvnmyD93a2v9IWltHTlyxH/HO97hb9u2zR8aGvIvvvhi/3d/93f9TqcT+/cB+M8884x4nf379/uvfvWr/Vqt5k9PT/u//Mu/LGJ0HM5N6K4twp133unv3LnTb7fboa/j1tb6Q9La+oM/+AN/x44dfrlc9nft2uX/5//8n/tik9y+5RAF3bVFcPvW+oHn+77PSJA7ODg4ODg4ODg4ODg4OKxruBltBwcHBwcHBwcHBwcHBwdGuELbwcHBwcHBwcHBwcHBwYERrtB2cHBwcHBwcHBwcHBwcGCEK7QdHBwcHBwcHBwcHBwcHBjhCm0HBwcHBwcHBwcHBwcHB0a4QtvBwcHBwcHBwcHBwcHBgRGu0HZwcHBwcHBwcHBwcHBwYIQrtB0cHBwcHBwcHBwcHBwcGOEKbQcHBwcHBwcHBwcHBwcHRrhC28HBwcHBwcHBwcHBwcGBEa7QdnBwcHBwcHBwcHBwcHBgxP8P3kua4fe1GO8AAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dta.plot(figsize=(12, 8))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:15.158126Z", "iopub.status.busy": "2023-12-14T14:44:15.157431Z", "iopub.status.idle": "2023-12-14T14:44:15.959398Z", "shell.execute_reply": "2023-12-14T14:44:15.958464Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 8))\n", "ax1 = fig.add_subplot(211)\n", "fig = sm.graphics.tsa.plot_acf(dta.values.squeeze(), lags=40, ax=ax1)\n", "ax2 = fig.add_subplot(212)\n", "fig = sm.graphics.tsa.plot_pacf(dta, lags=40, ax=ax2)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:15.965062Z", "iopub.status.busy": "2023-12-14T14:44:15.963454Z", "iopub.status.idle": "2023-12-14T14:44:16.138768Z", "shell.execute_reply": "2023-12-14T14:44:16.137989Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "const 49.746198\n", "ar.L1 1.390633\n", "ar.L2 -0.688573\n", "sigma2 274.727181\n", "dtype: float64\n" ] } ], "source": [ "arma_mod20 = ARIMA(dta, order=(2, 0, 0)).fit()\n", "print(arma_mod20.params)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:16.143614Z", "iopub.status.busy": "2023-12-14T14:44:16.142448Z", "iopub.status.idle": "2023-12-14T14:44:16.459642Z", "shell.execute_reply": "2023-12-14T14:44:16.458593Z" } }, "outputs": [], "source": [ "arma_mod30 = ARIMA(dta, order=(3, 0, 0)).fit()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:16.463912Z", "iopub.status.busy": "2023-12-14T14:44:16.463575Z", "iopub.status.idle": "2023-12-14T14:44:16.471141Z", "shell.execute_reply": "2023-12-14T14:44:16.470213Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2622.6370933008184 2637.570458408409 2628.6074811460644\n" ] } ], "source": [ "print(arma_mod20.aic, arma_mod20.bic, arma_mod20.hqic)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:16.474608Z", "iopub.status.busy": "2023-12-14T14:44:16.474296Z", "iopub.status.idle": "2023-12-14T14:44:16.481214Z", "shell.execute_reply": "2023-12-14T14:44:16.478730Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "const 49.751912\n", "ar.L1 1.300818\n", "ar.L2 -0.508102\n", "ar.L3 -0.129644\n", "sigma2 270.101140\n", "dtype: float64\n" ] } ], "source": [ "print(arma_mod30.params)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:16.484646Z", "iopub.status.busy": "2023-12-14T14:44:16.484279Z", "iopub.status.idle": "2023-12-14T14:44:16.490640Z", "shell.execute_reply": "2023-12-14T14:44:16.488053Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2619.4036292456663 2638.070335630155 2626.8666140522237\n" ] } ], "source": [ "print(arma_mod30.aic, arma_mod30.bic, arma_mod30.hqic)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Does our model obey the theory?" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:16.494208Z", "iopub.status.busy": "2023-12-14T14:44:16.493878Z", "iopub.status.idle": "2023-12-14T14:44:16.500206Z", "shell.execute_reply": "2023-12-14T14:44:16.499289Z" } }, "outputs": [ { "data": { "text/plain": [ "1.9564953616090044" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sm.stats.durbin_watson(arma_mod30.resid.values)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:16.505006Z", "iopub.status.busy": "2023-12-14T14:44:16.504679Z", "iopub.status.idle": "2023-12-14T14:44:16.838841Z", "shell.execute_reply": "2023-12-14T14:44:16.838131Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 8))\n", "ax = fig.add_subplot(111)\n", "ax = arma_mod30.resid.plot(ax=ax)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:16.841866Z", "iopub.status.busy": "2023-12-14T14:44:16.841452Z", "iopub.status.idle": "2023-12-14T14:44:16.845724Z", "shell.execute_reply": "2023-12-14T14:44:16.844861Z" } }, "outputs": [], "source": [ "resid = arma_mod30.resid" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:16.848628Z", "iopub.status.busy": "2023-12-14T14:44:16.848325Z", "iopub.status.idle": "2023-12-14T14:44:16.864619Z", "shell.execute_reply": "2023-12-14T14:44:16.863696Z" } }, "outputs": [ { "data": { "text/plain": [ "NormaltestResult(statistic=49.843932188649774, pvalue=1.5015079882540518e-11)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.normaltest(resid)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:16.868251Z", "iopub.status.busy": "2023-12-14T14:44:16.867910Z", "iopub.status.idle": "2023-12-14T14:44:17.104035Z", "shell.execute_reply": "2023-12-14T14:44:17.103025Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 8))\n", "ax = fig.add_subplot(111)\n", "fig = qqplot(resid, line=\"q\", ax=ax, fit=True)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:17.109300Z", "iopub.status.busy": "2023-12-14T14:44:17.107692Z", "iopub.status.idle": "2023-12-14T14:44:17.877027Z", "shell.execute_reply": "2023-12-14T14:44:17.876053Z" } }, "outputs": [ { "data": { "image/png": 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gAz344IN69tln1apVK/3zn/9UcnKys8yQIUN08OBBTZ8+XTk5OerevbsyMjIqXGDO27Vp/lsoT73hEgUFWOosBQAAAACASersPupW4nA4FBISooKCAsudo16uqOSU4qZ/JEn6aVYyQR0AAAAAvFhNcqilzlEHAAAAAMDXEdQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAspE6C+oIFCxQbG6vAwEAlJCRo3bp1lZbt06ePbDZbhceAAQOcZUaOHFlhfEpKSl3MCgAAAAAApmpg9gssX75cqampSk9PV0JCgubNm6fk5GRt27ZNERERFcq/9dZbKikpcT4/fPiwunXrpsGDB7uUS0lJ0aJFi5zP7Xa7eTMBAAAAAEAdMf2I+ty5czVmzBiNGjVKcXFxSk9PV1BQkBYuXOi2fLNmzRQVFeV8ZGZmKigoqEJQt9vtLuWaNm1q9qwAAAAAAGA6U4N6SUmJ1q9fr6SkpN9e0M9PSUlJWrNmTbXqeOmllzR06FA1btzYZfjq1asVERGhjh07aty4cTp8+HCldRQXF8vhcLg8AAAAAACwIlOD+qFDh1RaWqrIyEiX4ZGRkcrJyTnn9OvWrdPmzZt19913uwxPSUnR4sWLlZWVpTlz5uizzz5T//79VVpa6raetLQ0hYSEOB8xMTG1nykAAAAAAExk+jnq5+Oll15Sly5d1LNnT5fhQ4cOdf7fpUsXde3aVe3bt9fq1avVt2/fCvVMmzZNqampzucOh4OwDgAAAACwJFOPqIeFhcnf31+5ubkuw3NzcxUVFVXltIWFhVq2bJlGjx59ztdp166dwsLCtGPHDrfj7Xa7goODXR4AAAAAAFiRqUE9ICBA8fHxysrKcg4rKytTVlaWEhMTq5x2xYoVKi4u1l133XXO19m3b58OHz6sFi1anHebAQAAAACoT6Zf9T01NVX/+Mc/9Morr2jLli0aN26cCgsLNWrUKEnS8OHDNW3atArTvfTSSxo4cKCaN2/uMvzYsWN6+OGH9e9//1u7d+9WVlaWbr31VnXo0EHJyclmzw4AAAAAAKYy/Rz1IUOG6ODBg5o+fbpycnLUvXt3ZWRkOC8wt2fPHvn5ue4v2LZtm7788kt9/PHHFerz9/fXpk2b9Morryg/P1/R0dHq16+fZs+ezb3UAQAAAABez2YYhlHfjahrDodDISEhKigosOz56kUlpxQ3/SNJ0k+zkhUUYOnr/gEAAAAAqlCTHGp613cAAAAAAFB9BHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALqZOgvmDBAsXGxiowMFAJCQlat25dpWVffvll2Ww2l0dgYKBLGcMwNH36dLVo0UKNGjVSUlKStm/fbvZsAAAAAABgOtOD+vLly5WamqoZM2Zow4YN6tatm5KTk5WXl1fpNMHBwcrOznY+fvnlF5fxTz31lObPn6/09HStXbtWjRs3VnJysk6cOGH27AAAAAAAYCrTg/rcuXM1ZswYjRo1SnFxcUpPT1dQUJAWLlxY6TQ2m01RUVHOR2RkpHOcYRiaN2+eHn30Ud16663q2rWrFi9erAMHDujtt982e3YAAAAAADCVqUG9pKRE69evV1JS0m8v6OenpKQkrVmzptLpjh07pjZt2igmJka33nqrfvzxR+e4Xbt2KScnx6XOkJAQJSQkVFpncXGxHA6HywMAAAAAACsyNagfOnRIpaWlLkfEJSkyMlI5OTlup+nYsaMWLlyod955R6+++qrKysrUq1cv7du3T5Kc09WkzrS0NIWEhDgfMTEx5ztrAAAAAACYwnJXfU9MTNTw4cPVvXt39e7dW2+99ZbCw8P1wgsv1LrOadOmqaCgwPnYu3evB1sMAAAAAIDnmBrUw8LC5O/vr9zcXJfhubm5ioqKqlYdDRs21OWXX64dO3ZIknO6mtRpt9sVHBzs8gAAAAAAwIpMDeoBAQGKj49XVlaWc1hZWZmysrKUmJhYrTpKS0v1ww8/qEWLFpKktm3bKioqyqVOh8OhtWvXVrtOAAAAAACsqoHZL5CamqoRI0aoR48e6tmzp+bNm6fCwkKNGjVKkjR8+HC1bNlSaWlpkqRZs2bpyiuvVIcOHZSfn6+nn35av/zyi+6++25Jp68IP3HiRD3xxBO6+OKL1bZtWz322GOKjo7WwIEDzZ4dAAAAAABMZXpQHzJkiA4ePKjp06crJydH3bt3V0ZGhvNicHv27JGf328H9n/99VeNGTNGOTk5atq0qeLj4/X1118rLi7OWWby5MkqLCzU2LFjlZ+fr6uvvloZGRkKDAw0e3YAAAAAADCVzTAMo74bUdccDodCQkJUUFBg2fPVi0pOKW76R5Kkn2YlKyjA9H0qAAAAAACT1CSHWu6q7wAAAAAA+DKCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIXUSVBfsGCBYmNjFRgYqISEBK1bt67Ssv/4xz90zTXXqGnTpmratKmSkpIqlB85cqRsNpvLIyUlxezZAAAAAADAdKYH9eXLlys1NVUzZszQhg0b1K1bNyUnJysvL89t+dWrV+vOO+/Up59+qjVr1igmJkb9+vXT/v37XcqlpKQoOzvb+XjttdfMnhUAAAAAAExnelCfO3euxowZo1GjRikuLk7p6ekKCgrSwoUL3ZZfsmSJ7rvvPnXv3l2dOnXSP//5T5WVlSkrK8ulnN1uV1RUlPPRtGlTs2cFAAAAAADTmRrUS0pKtH79eiUlJf32gn5+SkpK0po1a6pVR1FRkU6ePKlmzZq5DF+9erUiIiLUsWNHjRs3TocPH660juLiYjkcDpcHAAAAAABWZGpQP3TokEpLSxUZGekyPDIyUjk5OdWqY8qUKYqOjnYJ+ykpKVq8eLGysrI0Z84cffbZZ+rfv79KS0vd1pGWlqaQkBDnIyYmpvYzBQAAAACAiRrUdwOq8pe//EXLli3T6tWrFRgY6Bw+dOhQ5/9dunRR165d1b59e61evVp9+/atUM+0adOUmprqfO5wOAjrwAVu16FCvf7tXu379bhaNW2kO3rEqG1Y4/puFgAAAHBOpgb1sLAw+fv7Kzc312V4bm6uoqKiqpz2mWee0V/+8hd98skn6tq1a5Vl27Vrp7CwMO3YscNtULfb7bLb7TWfAQBe6fVv92rqm5tks9lkGIZsNpte+Gyn5gzqqsE92EkHAAAAazO163tAQIDi4+NdLgRXfmG4xMTESqd76qmnNHv2bGVkZKhHjx7nfJ19+/bp8OHDatGihUfaDcB77TpUqKlvblKZIZWWGS5/p7y5SbsPFZ5X3XMytur+177TnIyt2nUedQEAAACVMb3re2pqqkaMGKEePXqoZ8+emjdvngoLCzVq1ChJ0vDhw9WyZUulpaVJkubMmaPp06dr6dKlio2NdZ7L3qRJEzVp0kTHjh3TzJkzNWjQIEVFRWnnzp2aPHmyOnTooOTkZLNnB4DFvf7tXtlsNskwKoyz2Wxa/u1eTUnpVKt6OUoPAACAumB6UB8yZIgOHjyo6dOnKycnR927d1dGRobzAnN79uyRn99vB/aff/55lZSU6Pbbb3epZ8aMGXr88cfl7++vTZs26ZVXXlF+fr6io6PVr18/zZ49m+7tgJfy5Pnk+349LsNNSJckwzC079fjtWpf+VF65w6A//6d8uYmXRHbTLGc/w4AAAAPqZOLyU2YMEETJkxwO2716tUuz3fv3l1lXY0aNdJHH33koZYBqG+ePlLdqmmjKo+ot2raqFZtNOMoPQAAAOCOqeeoA0BVzDif/I4eMVUeUR9Si/BvxlF6AAAAoDIEdQD1xnmk2o3yI9U11TasseYM6iq/M6r1t9nkZ5PmDOpaqy7qzqP0lbSzNkfpAQAAgMoQ1AHUG7OOVA/uEaMPHrja+XzU1bFaNalPrS/6ZsZRegAAAKAyBHUA9cbMI9Vtmv925Dz1hkvO62JvZhylBwAAACpDUAdQb7zpSLWnj9IDAAAAlamTq74D9c2Tt/+C55QfqZ5SfusznT5Sbciw5JHqs4/SBwXwFQoAAADPYysTFzxP3/4LnjW4R4wuaxms/s9+Ken0keq7EtpYLqQDAAAAdYWgjgvambf/ct4D+79/p7y5SVfENiMQWgBHqgHUFj2mAAAXIraGcUFz3v7LzXnQ5bf/mpLSqR5aBpxGyABqjx5TgHep7Lo0NavDAw2pA+XNLJ/n356XjzcqzMuZ48qfVzW7nng/nXXVtLzFloO/n01N7BdWtL2w5gY4i1m3/wI8gZBxYarNhlN1JqlurZV+59XitY0ab7rVXLXm/eyNWRnafbjqHlOdWwSrdfOg36Y13G/8GobhdgO6fJoz/lRoy5nvj+G2bMXx1ZnHs9/3ivN/9rQW22KuxJmLSmeElDPff5dl5Ca06IyyrnWf+z3w5HpW9et4x/I429nrwZlD3X++y/8alY4D6kpQgL+6xYTWdzM8iqCOC5rz9l+VHFE/n9t/wTcYhqEyQyozDBWfKnUOLyw+pdIy478h4fT4sv9u8JcZpzdAz/5rnFFuz5GiSkPG5Dc3KTSooVqENDqrLf/963YD97cNJe/bQDKnwVWFm4pHMYxKy7orj/r32ro9VY5/8fOfdWfP1nXUGsA7ZRcc1+ptB3XwWLHCm9jVp2N4hd8eAPWDoI4L2h09YvTCZzvdjjvf23+Z0WWZbtCnl0tpmeEMyOWh1CX0SjLKTo8rcwnCvwXlwuLfQvWew0WyN/T/b7nfpikrc623rPw1Ddd6y504+Vudm/c7FNjQv9bz+daG/ZWOs0l67/tsQgZQhYPHiivvJfDf8bVFeIEvWL0tTy9+8bNsOr3O2CS9t+mA7rm2nXpfElHPrQNAUL9AnCotU8Hxk/XaBiue29LE3kCPDojTEx/85Lz9l5/t9N//HdBZgQ39lV1w3NkN0jgrmBlnBEXneEn/+iFHczO3ubxW+mc7NemGS3RDXNRv01fRXe/sLpOZP+Vq/qrtLj+Y6Z/t1APXX6y+nSMq1uOc1nAz7MyWVd31sjpHDt114/Pk4jszAK/b9et5BWB3dWYXnPBInZ5kZsgAfEF4E7vz+/Jstv+Orw3CC3xBdsFxvfjFz66ngfz37wuf/6yOkcGKCgmsr+YBEEH9glF8qkz/yT1W382wpM4tgvXkbV009a0fJEkpl0Xphs5RigoJ1K5DhTWuL7vguP6auc1toP1r5n/UMjSoxj9u2QXHNX/Vdrc/mPNXbVds88YX9A+mL3YrNitk+DKOgvqWPh3D9d6mA27HGZKu61jzUE14ga9Yve1glb9Bn27Lo1cXUM/86rsBQF2IDP5tw2pwfMx5bWiV/7i5U/7jZoU6YW19OoZXeUS9NiHDl63elqdJK77X+5sO6N8/H9b7mw5o0orv9dl/WHesJLvguF5bt0fzV23Xa+v2KLug9hf0bBHSSPdc2062M748/WySzSbdc227Wn3P810MX0GvLsD6OKIO1JAZP25m/WByhNG6ykPGC5//7OxR4Gc7vbxrGzJ8FUdBvYMZXcp7XxKh2OaN3faYqg3CC3wFvboA6yOoAzVkxo+bGXVynqX1eTpk+Cq6cFp/p5yZO1PO7jF1PtejILzAV5hx6ggAz6LrO1BDZnRZ9nSdZ24UlzlvC3b67wuf/6ycghM1biPM4cnTMnyVrx8F9YZu/97SpZxTUryDJ0+h8FVmnDoCwLMI6jgvvvhjacaPm6fr9JaNYsATyo+CunOhHwX1lp1y3rIzhfBifd6wY8pb9L4kQmm3dXE+T7ksSnMHd6fXHWARdH1Hrfly12ozuix7sk5v2SgGPMHMLpxW71LuLd3+valLOaekWBfXo/A8T546Us7q35uAtyCoo1b4sTTnx81TdXrTRjFwvsy6MJ837Iz0lp1y3nY+rBnf7zh/3rJjypd5w/cm4C3o+o5aoWu1tXGeJXyNp7twekuXcm/p9k+XcniCt+yY8lXe8r0JeAuOqKNW+LG0Nm79BU/zhq6MnjwK6i1H7rzpSDVdyj3LG9ZJT6O3mLV5y/dmOV9ch+BdCOo+xJNfSPxYWh8bxfAUX+zK6C07I71tpxxdyj3DF9dJybt2TPkiM783PR2qfXUdgnepk67vCxYsUGxsrAIDA5WQkKB169ZVWX7FihXq1KmTAgMD1aVLF3344Ycu4w3D0PTp09WiRQs1atRISUlJ2r59u5mz4PU8fZVUM7tW++KV5M3Crb9wvny1K6O3dCmXuHKzr/HVdVLiFAqrM+t709PbsL68DsG7mB7Uly9frtTUVM2YMUMbNmxQt27dlJycrLw89yvX119/rTvvvFOjR4/Wd999p4EDB2rgwIHavHmzs8xTTz2l+fPnKz09XWvXrlXjxo2VnJysEydYsdwx4wvJrB9LbrsCWIuvXo/C267zwE453+Gr62Q5dkxZlxnfm2Zsw/r6OuQtOHBXB13f586dqzFjxmjUqFGSpPT0dH3wwQdauHChpk6dWqH8s88+q5SUFD388MOSpNmzZyszM1PPPfec0tPTZRiG5s2bp0cffVS33nqrJGnx4sWKjIzU22+/raFDh1a7bUUlp9Sg5JQH5tLzis5oV1E12lhUckonTpa6HffJltwqu6lnbsnR4PiYGrcxoW1zRYcEavq7P0mSbugcqes6RSgyOLDStlQlx3GiyivJxzZv7LIxWhPFZ7SnuBZt89Y6zWhjjuOEvth+UIePlah5kwBdc3G4omq5XNy1zarvpTfV6clllOs4UeWGV67jRK3WdzN48r1sGhSgP/Zqq4Vf7XLOf3mX8j/2aqvQoIaWmW/J+p8jd22z8jpkRp2e4k3rpFlCGzV0/n9L12jZG/pf8PNsFqt/b5qxDcs6ZH1fbD+oRV/vrnBqwh97tdXVF4e5ncbPVr3MVN9q0kabYRiVfVbPW0lJiYKCgvTGG29o4MCBzuEjRoxQfn6+3nnnnQrTtG7dWqmpqZo4caJz2IwZM/T222/r+++/188//6z27dvru+++U/fu3Z1levfure7du+vZZ5+tUGdxcbGKi387L8bhcCgmJkYxE1+Xnz3II/MKAAAAAEBlyoqLtHfeHSooKFBwcHCVZU3t+n7o0CGVlpYqMjLSZXhkZKRycnLcTpOTk1Nl+fK/NakzLS1NISEhzkdMTM2PHgMAAAAAUBd84qrv06ZNU2pqqvN5+RH1df/b95x7MrxFYfEpbd7vcDsux3FCj6z8Qe76TthsUtptXWrdpdyTVqzfq4zNOSpz004/2+nz0GrTRR+ewfKxPrOW0ZfbD2nh17tcuqCVd2WsrAvauXyx/aAWfbXbbffI2tbpLYpPlureJRskSenDfie7xa58zrrueZ5e5t60Tlr9817Ok+00Y7vLW7blPM2s+TZjHZLM+bzvOVyoGe+dPs00OS5SfTpFeOQ0JKt+3tM/26l1u49UWl/P2Ga6t3f7CuOCAvzVpVVITZpeLxwOh1rMq15ZU4N6WFiY/P39lZub6zI8NzdXUVFRbqeJioqqsnz539zcXLVo0cKlzJld4c9kt9tlt1e80mRQQAMFBVwY+yoMQ5Xe5ia2eWPn7XvO/kK659p2atO8cR22tHJJnSP1r83ue0UYkm7oHMWtfOrRr0Unqzyn69eikyyfembWMkqKi9RlLUP06bY8561xrusYUesLlmUXHNeir3e7tLU8FC78epcuaxniMxdDszf0t9x6w7puLk8sc29dJ634eS+X4/jtomTvbjqgpM6Rtb7915qdh6s8r/rrnYdrfD9xM+r0BmZtw3p6HXLHE5/38tvIlcvckquPt+R69DZy59tOT382I4MDq6wvMjjQbXsDG/p7Ra47VYM2mjo3AQEBio+PV1ZWlvMc9bKyMmVlZWnChAlup0lMTFRWVpbLOeqZmZlKTEyUJLVt21ZRUVHKyspyBnOHw6G1a9dq3LhxZs6OV+t9SYQ6Rgab+oV0vs68H7C7L2MrtdUXld92pbIvTivdrspXmbmMokICPbYRWH7F3cra+em2vAtyg9NbsK57B9ZJzzk7DGVsztG/NufUOgyZcT9xM+9RbnVmbcN6ch0yw5lXvC9XvgPthc9/VsfI4Fq/B2fumFqxfu957Zjy9GezT8dwvbfpQKX1We2uK2YyfbdDamqqRowYoR49eqhnz56aN2+eCgsLnVeBHz58uFq2bKm0tDRJ0p/+9Cf17t1bf/3rXzVgwAAtW7ZM3377rV588UVJks1m08SJE/XEE0/o4osvVtu2bfXYY48pOjra5YJ1qMjqX0iSd+xQ8FV8cVqftywjX97glDy7gWQGb/kcwXN8eZ00IwyZsbPL13egecM2rKeZtQPN0zumPP3Z5MDdb0wP6kOGDNHBgwc1ffp05eTkqHv37srIyHBeDG7Pnj3y8/vtmna9evXS0qVL9eijj+qRRx7RxRdfrLfffluXXXaZs8zkyZNVWFiosWPHKj8/X1dffbUyMjIUGOg7C+5C5otfxt6AL07r85Zl5MsbnJ7eQDKDt3yO4Dm+vU56PgyZsbOLHWi+x4wdaGbsmDLjs8mBu9PqpCP/hAkTKu3qvnr16grDBg8erMGDB1dan81m06xZszRr1ixPNRFANfDFaX3esIx8dYPTzG6MnuYNnyN4jq+uk5I5YciMnV3sQPM9ZuxAM2PHlFmfTQ7c+chV3wF4Dl+c1mf1ZeSrG5zedh6w1T9H8BxfXScl83oTmLGzix1ovsWMHWhmnebCZ9McBHUAQJ3zxR91Xz4P2NdZ/boEkm+uk5K5vQnM2NnFDjTfYcYONG+56CxOI6gDAOqFr/2o+/J5wL7MG65LUM7X1knJt3sTwPo8vQPNl09z8UYEdQAA6gAbSL7Hm65L4Mt8tTcBvIMnd6CxY8q7ENQBAKgDbCD5Hm+7LoEv88XeBPBN7JjyHgR1AADqCBtIvoXrEgCwInZMeQeCOgAAdYgNJN/BdQkA3+INF46E9/Cr7wYAAABciPp0DK/yiLovXJfg7OCSXXC8HlsDmGf1tjw9svIH5/OMzTmatOJ7ffafvHpsFbwZR9QvEDabFNDAqvtdKttMqaR0zYrXmPHf1zAMw/k/AACe5uvXJfCmK94D54MLR8IMBPULRFBAA8W3aVrfzfBqhmGcDvByDfHGf3c0lH/5lg8rL1s+rbMeyaX8mQONM3ZaOOs7qw0Vh1Wc1t2/hssww82wioyz9lJUd6eFWTs3yt/XMuf7b6jM0G/DzvhrqHyc8d8fw9N/y8rYAQPAOnz1ugQEF/gSLhwJMxDUgf+y2Wyy2ZzP6rMp8ADjjGBfdlbQLzNcQ375MJfyZVWXr7DzQOXPy4f9Nh6Ab/PF6xIQXOBLuHAkzEBQB3BBKt/x4lfPO13O3mFwZq8Blx4B7npvnFmH8//ycb8VqmycL+8kOHvWXXq9nON9OXu8UenmV+XTVFd1Jju750tN66l6cvcj6+Kz476Xz9llKpaqUOas3kQuz92sE1WtVzpjere9ldz0nnLXJhBc4Fu4cCTMQFAHABNZZYcBgLrhbqdQVTuOzh5/rp0V3rJT4LLoYK37+YhK3UQXP9l0aYtgdWkVIsnNTpMa72Cp3Dl3tNXi/fSSRSCp5p+Xqk7RO9cOT3en6pm5E9NKBvdopfc3Hah0/KDftVL4RXbpjM+0JJfPsrtTLU+Xqd+d7+fzGapLgQ396+V1zURQBwAA8BDbb+dQnXE6VYVSddKW+vSHhDZ66ctdbscZMnTXlW3UxM5mKC4MbcMaa86grpry5ibZbDYZhuH8O2dQV/XuGF7fTYQX4hsSAAAAHnWu4BIb1ri+mwh41OAeMboitpmWf7tX+349rlZNG2lIjxg+66g1m1Gdk98uMA6HQyEhISooKFBwcHB9NwcAAOCCtPtQIcEFAP6rJjmUI+oAAAAwRWxYY01J6VTfzQAAr+NX3w0AAAAAAAC/IagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQkwN6keOHNGwYcMUHBys0NBQjR49WseOHauy/P3336+OHTuqUaNGat26tR544AEVFBS4lLPZbBUey5YtM3NWAAAAAACoEw3MrHzYsGHKzs5WZmamTp48qVGjRmns2LFaunSp2/IHDhzQgQMH9MwzzyguLk6//PKL7r33Xh04cEBvvPGGS9lFixYpJSXF+Tw0NNTMWQEAAAAAoE7YDMMwzKh4y5YtiouL0zfffKMePXpIkjIyMnTjjTdq3759io6OrlY9K1as0F133aXCwkI1aHB6v4LNZtPKlSs1cODAWrXN4XAoJCREBQUFCg4OrlUdAAAAAABUV01yqGld39esWaPQ0FBnSJekpKQk+fn5ae3atdWup3wmykN6ufHjxyssLEw9e/bUwoULVdX+huLiYjkcDpcHAAAAAABWZFrX95ycHEVERLi+WIMGatasmXJycqpVx6FDhzR79myNHTvWZfisWbN0/fXXKygoSB9//LHuu+8+HTt2TA888IDbetLS0jRz5szazQgAAAAAAHWoxkfUp06d6vZibmc+tm7det4NczgcGjBggOLi4vT444+7jHvsscd01VVX6fLLL9eUKVM0efJkPf3005XWNW3aNBUUFDgfe/fuPe/2AQAAAABghhofUZ80aZJGjhxZZZl27dopKipKeXl5LsNPnTqlI0eOKCoqqsrpjx49qpSUFF100UVauXKlGjZsWGX5hIQEzZ49W8XFxbLb7RXG2+12t8MBAAAAALCaGgf18PBwhYeHn7NcYmKi8vPztX79esXHx0uSVq1apbKyMiUkJFQ6ncPhUHJysux2u959910FBgae87U2btyopk2bEsYBAAAAAF7PtHPUO3furJSUFI0ZM0bp6ek6efKkJkyYoKFDhzqv+L5//3717dtXixcvVs+ePeVwONSvXz8VFRXp1VdfdbnwW3h4uPz9/fXee+8pNzdXV155pQIDA5WZmaknn3xSDz30kFmzAgAAAABAnTH1PupLlizRhAkT1LdvX/n5+WnQoEGaP3++c/zJkye1bds2FRUVSZI2bNjgvCJ8hw4dXOratWuXYmNj1bBhQy1YsEAPPvigDMNQhw4dNHfuXI0ZM8bMWQEAAAAAoE6Ydh91K+M+6gAAAACAumSJ+6gDAAAAAICaI6gDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYiKlB/ciRIxo2bJiCg4MVGhqq0aNH69ixY1VO06dPH9lsNpfHvffe61Jmz549GjBggIKCghQREaGHH35Yp06dMnNWAAAAAACoEw3MrHzYsGHKzs5WZmamTp48qVGjRmns2LFaunRpldONGTNGs2bNcj4PCgpy/l9aWqoBAwYoKipKX3/9tbKzszV8+HA1bNhQTz75pGnzAgAAAABAXbAZhmGYUfGWLVsUFxenb775Rj169JAkZWRk6MYbb9S+ffsUHR3tdro+ffqoe/fumjdvntvx//rXv3TTTTfpwIEDioyMlCSlp6drypQpOnjwoAICAs7ZNofDoZCQEBUUFCg4OLh2MwgAAAAAQDXVJIea1vV9zZo1Cg0NdYZ0SUpKSpKfn5/Wrl1b5bRLlixRWFiYLrvsMk2bNk1FRUUu9Xbp0sUZ0iUpOTlZDodDP/74o9v6iouL5XA4XB4AAAAAAFiRaV3fc3JyFBER4fpiDRqoWbNmysnJqXS6P/zhD2rTpo2io6O1adMmTZkyRdu2bdNbb73lrPfMkC7J+byyetPS0jRz5szzmR0AAAAAAOpEjYP61KlTNWfOnCrLbNmypdYNGjt2rPP/Ll26qEWLFurbt6927typ9u3b16rOadOmKTU11fnc4XAoJiam1m0EAAAAAMAsNQ7qkyZN0siRI6ss065dO0VFRSkvL89l+KlTp3TkyBFFRUVV+/USEhIkSTt27FD79u0VFRWldevWuZTJzc2VpErrtdvtstvt1X5NAAAAAADqS42Denh4uMLDw89ZLjExUfn5+Vq/fr3i4+MlSatWrVJZWZkzfFfHxo0bJUktWrRw1vvnP/9ZeXl5zq71mZmZCg4OVlxcXA3nBgAAAAAAazHtYnKdO3dWSkqKxowZo3Xr1umrr77ShAkTNHToUOcV3/fv369OnTo5j5Dv3LlTs2fP1vr167V79269++67Gj58uK699lp17dpVktSvXz/FxcXpf/7nf/T999/ro48+0qOPPqrx48dz1BwAAAAA4PVMC+rS6au3d+rUSX379tWNN96oq6++Wi+++KJz/MmTJ7Vt2zbnVd0DAgL0ySefqF+/furUqZMmTZqkQYMG6b333nNO4+/vr/fff1/+/v5KTEzUXXfdpeHDh7vcdx0AAAAAAG9l2n3UrYz7qAMAAAAA6pIl7qMOAAAAAABqjqAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIaYG9SNHjmjYsGEKDg5WaGioRo8erWPHjlVafvfu3bLZbG4fK1ascJZzN37ZsmVmzgoAAAAAAHWigZmVDxs2TNnZ2crMzNTJkyc1atQojR07VkuXLnVbPiYmRtnZ2S7DXnzxRT399NPq37+/y/BFixYpJSXF+Tw0NNTj7QcAAAAAoK6ZFtS3bNmijIwMffPNN+rRo4ck6W9/+5tuvPFGPfPMM4qOjq4wjb+/v6KiolyGrVy5UnfccYeaNGniMjw0NLRCWQAAAAAAvJ1pXd/XrFmj0NBQZ0iXpKSkJPn5+Wnt2rXVqmP9+vXauHGjRo8eXWHc+PHjFRYWpp49e2rhwoUyDKPSeoqLi+VwOFweAAAAAABYkWlH1HNychQREeH6Yg0aqFmzZsrJyalWHS+99JI6d+6sXr16uQyfNWuWrr/+egUFBenjjz/Wfffdp2PHjumBBx5wW09aWppmzpxZuxkBAAAAAKAO1fiI+tSpUyu94Fv5Y+vWrefdsOPHj2vp0qVuj6Y/9thjuuqqq3T55ZdrypQpmjx5sp5++ulK65o2bZoKCgqcj7179553+wAAAAAAMEONj6hPmjRJI0eOrLJMu3btFBUVpby8PJfhp06d0pEjR6p1bvkbb7yhoqIiDR8+/JxlExISNHv2bBUXF8tut1cYb7fb3Q4HAAAAAMBqahzUw8PDFR4efs5yiYmJys/P1/r16xUfHy9JWrVqlcrKypSQkHDO6V966SXdcsst1XqtjRs3qmnTpoRxAAAAAIDXM+0c9c6dOyslJUVjxoxRenq6Tp48qQkTJmjo0KHOK77v379fffv21eLFi9WzZ0/ntDt27NDnn3+uDz/8sEK97733nnJzc3XllVcqMDBQmZmZevLJJ/XQQw+ZNSsAAAAAANQZU++jvmTJEk2YMEF9+/aVn5+fBg0apPnz5zvHnzx5Utu2bVNRUZHLdAsXLlSrVq3Ur1+/CnU2bNhQCxYs0IMPPijDMNShQwfNnTtXY8aMMXNWAAAAAACoEzajqvuaXaAcDodCQkJUUFCg4ODg+m4OAAAAAOACV5Mcatp91AEAAAAAQM0R1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACzEtKD+5z//Wb169VJQUJBCQ0OrNY1hGJo+fbpatGihRo0aKSkpSdu3b3cpc+TIEQ0bNkzBwcEKDQ3V6NGjdezYMRPmAAAAAACAumdaUC8pKdHgwYM1bty4ak/z1FNPaf78+UpPT9fatWvVuHFjJScn68SJE84yw4YN048//qjMzEy9//77+vzzzzV27FgzZgEAAAAAgDpnMwzDMPMFXn75ZU2cOFH5+flVljMMQ9HR0Zo0aZIeeughSVJBQYEiIyP18ssva+jQodqyZYvi4uL0zTffqEePHpKkjIwM3Xjjjdq3b5+io6Or1SaHw6GQkBAVFBQoODj4vOYPAAAAAIBzqUkObVBHbTqnXbt2KScnR0lJSc5hISEhSkhI0Jo1azR06FCtWbNGoaGhzpAuSUlJSfLz89PatWt12223ua27uLhYxcXFzucFBQWSTr9RAAAAAACYrTx/VudYuWWCek5OjiQpMjLSZXhkZKRzXE5OjiIiIlzGN2jQQM2aNXOWcSctLU0zZ86sMDwmJuZ8mw0AAAAAQLUdPXpUISEhVZapUVCfOnWq5syZU2WZLVu2qFOnTjWp1nTTpk1Tamqq83lZWZmOHDmi5s2by2az1WPLquZwOBQTE6O9e/fSRd+iWEbWxvKxPpaRtbF8rI3lY30sI2tj+Vjbhbh8DMPQ0aNHq3XKdo2C+qRJkzRy5Mgqy7Rr164mVTpFRUVJknJzc9WiRQvn8NzcXHXv3t1ZJi8vz2W6U6dO6ciRI87p3bHb7bLb7S7DqnsleisIDg6+YD6cFyqWkbWxfKyPZWRtLB9rY/lYH8vI2lg+1nahLZ9zHUkvV6OgHh4ervDw8Fo16Fzatm2rqKgoZWVlOYO5w+HQ2rVrnVeOT0xMVH5+vtavX6/4+HhJ0qpVq1RWVqaEhART2gUAAAAAQF0y7fZse/bs0caNG7Vnzx6VlpZq48aN2rhxo8s9zzt16qSVK1dKkmw2myZOnKgnnnhC7777rn744QcNHz5c0dHRGjhwoCSpc+fOSklJ0ZgxY7Ru3Tp99dVXmjBhgoYOHVrtK74DAAAAAGBlpl1Mbvr06XrllVeczy+//HJJ0qeffqo+ffpIkrZt2+a8ArskTZ48WYWFhRo7dqzy8/N19dVXKyMjQ4GBgc4yS5Ys0YQJE9S3b1/5+flp0KBBmj9/vlmzUa/sdrtmzJhRods+rINlZG0sH+tjGVkby8faWD7WxzKyNpaPtfn68jH9PuoAAAAAAKD6TOv6DgAAAAAAao6gDgAAAACAhRDUAQAAAACwEII6AAAAAAAWQlC3sAULFig2NlaBgYFKSEjQunXr6rtJkPT444/LZrO5PDp16lTfzfJpn3/+uW6++WZFR0fLZrPp7bffdhlvGIamT5+uFi1aqFGjRkpKStL27dvrp7E+6FzLZ+TIkRXWqZSUlPpprA9KS0vTFVdcoYsuukgREREaOHCgtm3b5lLmxIkTGj9+vJo3b64mTZpo0KBBys3NracW+57qLKM+ffpUWI/uvffeemqxb3n++efVtWtXBQcHKzg4WImJifrXv/7lHM/6U7/OtXxYd6zlL3/5i/O23eV8dR0iqFvU8uXLlZqaqhkzZmjDhg3q1q2bkpOTlZeXV99Ng6RLL71U2dnZzseXX35Z303yaYWFherWrZsWLFjgdvxTTz2l+fPnKz09XWvXrlXjxo2VnJysEydO1HFLfdO5lo8kpaSkuKxTr732Wh220Ld99tlnGj9+vP79738rMzNTJ0+eVL9+/VRYWOgs8+CDD+q9997TihUr9Nlnn+nAgQP6/e9/X4+t9i3VWUaSNGbMGJf16KmnnqqnFvuWVq1a6S9/+YvWr1+vb7/9Vtdff71uvfVW/fjjj5JYf+rbuZaPxLpjFd98841eeOEFde3a1WW4z65DBiypZ8+exvjx453PS0tLjejoaCMtLa0eWwXDMIwZM2YY3bp1q+9moBKSjJUrVzqfl5WVGVFRUcbTTz/tHJafn2/Y7Xbjtddeq4cW+razl49hGMaIESOMW2+9tV7ag4ry8vIMScZnn31mGMbp9aVhw4bGihUrnGW2bNliSDLWrFlTX830aWcvI8MwjN69ext/+tOf6q9RcNG0aVPjn//8J+uPRZUvH8Ng3bGKo0ePGhdffLGRmZnpskx8eR3iiLoFlZSUaP369UpKSnIO8/PzU1JSktasWVOPLUO57du3Kzo6Wu3atdOwYcO0Z8+e+m4SKrFr1y7l5OS4rE8hISFKSEhgfbKQ1atXKyIiQh07dtS4ceN0+PDh+m6SzyooKJAkNWvWTJK0fv16nTx50mUd6tSpk1q3bs06VE/OXkbllixZorCwMF122WWaNm2aioqK6qN5Pq20tFTLli1TYWGhEhMTWX8s5uzlU451p/6NHz9eAwYMcFlXJN/+DWpQ3w1ARYcOHVJpaakiIyNdhkdGRmrr1q311CqUS0hI0Msvv6yOHTsqOztbM2fO1DXXXKPNmzfroosuqu/m4Sw5OTmS5HZ9Kh+H+pWSkqLf//73atu2rXbu3KlHHnlE/fv315o1a+Tv71/fzfMpZWVlmjhxoq666ipddtllkk6vQwEBAQoNDXUpyzpUP9wtI0n6wx/+oDZt2ig6OlqbNm3SlClTtG3bNr311lv12Frf8cMPPygxMVEnTpxQkyZNtHLlSsXFxWnjxo2sPxZQ2fKRWHesYNmyZdqwYYO++eabCuN8+TeIoA7UUP/+/Z3/d+3aVQkJCWrTpo1ef/11jR49uh5bBninoUOHOv/v0qWLunbtqvbt22v16tXq27dvPbbM94wfP16bN2/muhsWVtkyGjt2rPP/Ll26qEWLFurbt6927typ9u3b13UzfU7Hjh21ceNGFRQU6I033tCIESP02Wef1Xez8F+VLZ+4uDjWnXq2d+9e/elPf1JmZqYCAwPruzmWQtd3CwoLC5O/v3+Fqxnm5uYqKiqqnlqFyoSGhuqSSy7Rjh076rspcKN8nWF98h7t2rVTWFgY61QdmzBhgt5//319+umnatWqlXN4VFSUSkpKlJ+f71KedajuVbaM3ElISJAk1qM6EhAQoA4dOig+Pl5paWnq1q2bnn32WdYfi6hs+bjDulO31q9fr7y8PP3ud79TgwYN1KBBA3322WeaP3++GjRooMjISJ9dhwjqFhQQEKD4+HhlZWU5h5WVlSkrK8vlfBpYw7Fjx7Rz5061aNGivpsCN9q2bauoqCiX9cnhcGjt2rWsTxa1b98+HT58mHWqjhiGoQkTJmjlypVatWqV2rZt6zI+Pj5eDRs2dFmHtm3bpj179rAO1ZFzLSN3Nm7cKEmsR/WkrKxMxcXFrD8WVb583GHdqVt9+/bVDz/8oI0bNzofPXr00LBhw5z/++o6RNd3i0pNTdWIESPUo0cP9ezZU/PmzVNhYaFGjRpV303zeQ899JBuvvlmtWnTRgcOHNCMGTPk7++vO++8s76b5rOOHTvmsud7165d2rhxo5o1a6bWrVtr4sSJeuKJJ3TxxRerbdu2euyxxxQdHa2BAwfWX6N9SFXLp1mzZpo5c6YGDRqkqKgo7dy5U5MnT1aHDh2UnJxcj632HePHj9fSpUv1zjvv6KKLLnKe8xcSEqJGjRopJCREo0ePVmpqqpo1a6bg4GDdf//9SkxM1JVXXlnPrfcN51pGO3fu1NKlS3XjjTeqefPm2rRpkx588EFde+21FW5zBM+bNm2a+vfvr9atW+vo0aNaunSpVq9erY8++oj1xwKqWj6sO/XvoosucrnehiQ1btxYzZs3dw732XWovi87j8r97W9/M1q3bm0EBAQYPXv2NP7973/Xd5NgGMaQIUOMFi1aGAEBAUbLli2NIUOGGDt27KjvZvm0Tz/91JBU4TFixAjDME7fou2xxx4zIiMjDbvdbvTt29fYtm1b/Tbah1S1fIqKiox+/foZ4eHhRsOGDY02bdoYY8aMMXJycuq72T7D3bKRZCxatMhZ5vjx48Z9991nNG3a1AgKCjJuu+02Izs7u/4a7WPOtYz27NljXHvttUazZs0Mu91udOjQwXj44YeNgoKC+m24j/jjH/9otGnTxggICDDCw8ONvn37Gh9//LFzPOtP/apq+bDuWNPZt8zz1XXIZhiGUZc7BgAAAAAAQOU4Rx0AAAAAAAshqAMAAAAAYCEEdQAAAAAALISgDgAAAACAhRDUAQAAAACwEII6AAAAAAAWQlAHAAAAAMBCCOoAAAAAAFgIQR0AAAAAAAshqAMAAAAAYCEEdQAAAAAALISgDgAAAACAhRDUAQDwkMcff1w2m61W0/bp00d9+vTxbIPglhnv9fksewAAzkZQBwBcEF5++WXZbDbnIzAwUJdccokmTJig3Nxcj71OUVGRHn/8ca1evdpjddZGaWmpoqOjZbPZ9K9//eu86rLKPFkd7xMAoK4Q1AEAF5RZs2bp//2//6fnnntOvXr10vPPP6/ExEQVFRV5pP6ioiLNnDnTbVh79NFHdfz4cY+8zrmsWrVK2dnZio2N1ZIlS86rrqrmCb+xyrIHAFz4GtR3AwAA8KT+/furR48ekqS7775bzZs319y5c/XOO+/ozjvvrHW9ZWVlKikpqbJMgwYN1KBB3fy0vvrqq/rd736nESNG6JFHHlFhYaEaN25cJ69dH06cOKGAgAD5+VU8xmCFea/LZQ8AuPBxRB0AcEG7/vrrJUm7du2SJD3zzDPq1auXmjdvrkaNGik+Pl5vvPFGhelsNpsmTJigJUuW6NJLL5Xdbld6errCw8MlSTNnznR2s3/88ccluT9PedGiRbr++usVEREhu92uuLg4Pf/88+c1T8ePH9fKlSs1dOhQ3XHHHTp+/LjeeeedCuUqOxd75MiRio2NlSTt3r27ynmSTh+9v+aaa9S4cWOFhobq1ltv1ZYtWyrUu3//fo0ePVrR0dGy2+1q27atxo0b57KD4+eff9bgwYPVrFkzBQUF6corr9QHH3zgUs/q1atls9m0bNkyPfroo2rZsqWCgoLkcDg0cuRINWnSRDt37tSNN96oiy66SMOGDZN0emfKvHnzdOmllyowMFCRkZG655579Ouvv1b5fpaUlGj69OmKj49XSEiIGjdurGuuuUaffvqps8y53id3y/7UqVOaPXu22rdvL7vdrtjYWD3yyCMqLi52KRcbG6ubbrpJX375pXr27KnAwEC1a9dOixcvrrLdAIALF7t+AQAXtJ07d0qSmjdvLkl69tlndcstt2jYsGEqKSnRsmXLNHjwYL3//vsaMGCAy7SrVq3S66+/rgkTJigsLEzdunXT888/r3Hjxum2227T73//e0lS165dK339559/XpdeeqluueUWNWjQQO+9957uu+8+lZWVafz48bWap3fffVfHjh3T0KFDFRUVpT59+mjJkiX6wx/+UOO6wsPDq5ynTz75RP3791e7du30+OOP6/jx4/rb3/6mq666Shs2bHAG/gMHDqhnz57Kz8/X2LFj1alTJ+3fv19vvPGGioqKFBAQoNzcXPXq1UtFRUV64IEH1Lx5c73yyiu65ZZb9MYbb+i2225zadvs2bMVEBCghx56SMXFxQoICJB0OgAnJyfr6quv1jPPPKOgoCBJ0j333KOXX35Zo0aN0gMPPKBdu3bpueee03fffaevvvpKDRs2dPseOBwO/fOf/9Sdd96pMWPG6OjRo3rppZeUnJysdevWqXv37ud8n9y5++679corr+j222/XpEmTtHbtWqWlpWnLli1auXKlS9kdO3bo9ttv1+jRozVixAgtXLhQI0eOVHx8vC699NIaLlUAgNczAAC4ACxatMiQZHzyySfGwYMHjb179xrLli0zmjdvbjRq1MjYt2+fYRiGUVRU5DJdSUmJcdlllxnXX3+9y3BJhp+fn/Hjjz+6DD948KAhyZgxY0aFNsyYMcM4+6f17NczDMNITk422rVr5zKsd+/eRu/evas1rzfddJNx1VVXOZ+/+OKLRoMGDYy8vLxq1TlixAijTZs2zudVzVP37t2NiIgI4/Dhw85h33//veHn52cMHz7cOWz48OGGn5+f8c0331Soo6yszDAMw5g4caIhyfjiiy+c444ePWq0bdvWiI2NNUpLSw3DMIxPP/3UkGS0a9euwvs3YsQIQ5IxdepUl+FffPGFIclYsmSJy/CMjIwKw89+X06dOmUUFxe7TPfrr78akZGRxh//+MdqvU9nL/uNGzcakoy7777bpdxDDz1kSDJWrVrlHNamTRtDkvH55587h+Xl5Rl2u92YNGlShdcCAFz46PoOALigJCUlKTw8XDExMRo6dKiaNGmilStXqmXLlpKkRo0aOcv++uuvKigo0DXXXKMNGzZUqKt3796Ki4s7r/ac+XoFBQU6dOiQevfurZ9//lkFBQU1ru/w4cP66KOPXM63HzRokGw2m15//fXzauvZsrOztXHjRo0cOVLNmjVzDu/atatuuOEGffjhh5JOdzl/++23dfPNNzuvD3Cm8i7hH374oXr27Kmrr77aOa5JkyYaO3asdu/erZ9++slluhEjRri8f2caN26cy/MVK1YoJCREN9xwgw4dOuR8xMfHq0mTJi7d2M/m7+/vPFpfVlamI0eO6NSpU+rRo4fbz0V1lL83qampLsMnTZokSRW6+8fFxemaa65xPg8PD1fHjh31888/1+r1AQDeja7vAIALyoIFC3TJJZeoQYMGioyMVMeOHV0uQPb+++/riSee0MaNG13OFXZ3D+y2bdued3u++uorzZgxQ2vWrKlw5fmCggKFhITUqL7ly5fr5MmTuvzyy7Vjxw7n8ISEBC1ZsqTW3end+eWXXyRJHTt2rDCuc+fO+uijj1RYWKhjx47J4XDosssuO2d9CQkJbusqH39mHZW9/w0aNFCrVq1chm3fvl0FBQWKiIhwO01eXl6VbXvllVf017/+VVu3btXJkyfP2YZz+eWXX+Tn56cOHTq4DI+KilJoaKjzvS3XunXrCnU0bdr0nOfXAwAuTAR1AMAFpWfPnm6P6krSF198oVtuuUXXXnut/v73v6tFixZq2LChFi1apKVLl1YoX9nR3OrauXOn+vbtq06dOmnu3LmKiYlRQECAPvzwQ/3f//2fysrKalxn+a3YrrrqKrfjf/75Z7Vr107S6Z0PhmFUKFNaWlrj160Plb3/dru9wtXfy8rKFBERUemt6sovBOfOq6++qpEjR2rgwIF6+OGHFRERIX9/f6WlpTmvcVBb7nYAuePv7+92uLvlBwC48BHUAQA+480331RgYKA++ugj2e125/BFixZVu47qBi9Jeu+991RcXKx3333X5YhpVd2wq7Jr1y59/fXXmjBhgnr37u0yrqysTP/zP/+jpUuX6tFHH5V0+oisu67TZx/NrWye2rRpI0natm1bhXFbt25VWFiYGjdurEaNGik4OFibN2+usv1t2rSptK4zX6822rdvr08++URXXXVVjXewvPHGG2rXrp3eeustl/dixowZLuVqsuzbtGmjsrIybd++3dljQJJyc3OVn59/XvMKALjwcY46AMBn+Pv7y2azuRxR3r17t95+++1q11F+hfH8/PxqvZ7kelS0oKCgRjsGzlR+tHjy5Mm6/fbbXR533HGHevfu7XJEuX379tq6dasOHjzoHPb999/rq6++qtY8tWjRQt27d9crr7ziMm7z5s36+OOPdeONN0qS/Pz8NHDgQL333nv69ttvK7S7fP5vvPFGrVu3TmvWrHGOKyws1IsvvqjY2Njzuh7AHXfcodLSUs2ePbvCuFOnTlW5vNwtp7Vr17q0U6rZsi9/b+bNm+cyfO7cuZJU4Q4DAACciSPqAACfMWDAAM2dO1cpKSn6wx/+oLy8PC1YsEAdOnTQpk2bqlVHo0aNFBcXp+XLl+uSSy5Rs2bNdNlll7k9P7tfv34KCAjQzTffrHvuuUfHjh3TP/7xD0VERCg7O7vG7V+yZIm6d++umJgYt+NvueUW3X///dqwYYN+97vf6Y9//KPmzp2r5ORkjR49Wnl5eUpPT9ell14qh8NRrXl6+umn1b9/fyUmJmr06NHO27OFhIS43Gv9ySef1Mcff6zevXtr7Nix6ty5s7Kzs7VixQp9+eWXCg0N1dSpU/Xaa6+pf//+euCBB9SsWTO98sor2rVrl958880K3dlronfv3rrnnnuUlpamjRs3ql+/fmrYsKG2b9+uFStW6Nlnn9Xtt9/udtqbbrpJb731lm677TYNGDBAu3btUnp6uuLi4nTs2LFqvU9n69atm0aMGKEXX3xR+fn56t27t9atW6dXXnlFAwcO1HXXXVfreQUA+IB6veY8AAAeUn57Nne3BzvTSy+9ZFx88cWG3W43OnXqZCxatMjtbdUkGePHj3dbx9dff23Ex8cbAQEBLrfrclfPu+++a3Tt2tUIDAw0YmNjjTlz5hgLFy40JBm7du1yljvX7dnWr19vSDIee+yxSsvs3r3bkGQ8+OCDzmGvvvqq0a5dOyMgIMDo3r278dFHH1W4PVtV82QYhvHJJ58YV111ldGoUSMjODjYuPnmm42ffvqpwuv/8ssvxvDhw43w8HDDbrcb7dq1M8aPH+9y67OdO3cat99+uxEaGmoEBgYaPXv2NN5//32Xespvz7ZixYoKrzFixAijcePGlb4HL774ohEfH280atTIuOiii4wuXboYkydPNg4cOOAsc/Z7XVZWZjz55JNGmzZtDLvdblx++eXG+++/X6P3yd2yP3nypDFz5kyjbdu2RsOGDY2YmBhj2rRpxokTJ1zKtWnTxhgwYECFeanJLfsAABcWm2FwlRIAAAAAAKyCc9QBAAAAALAQgjoAAAAAABZCUAcAAAAAwEJMDeqff/65br75ZkVHR8tms1Xr9jerV6/W7373O9ntdnXo0EEvv/xyhTILFixQbGysAgMDlZCQoHXr1nm+8QAAAAAA1ANTg3phYaG6deumBQsWVKv8rl27NGDAAF133XXauHGjJk6cqLvvvlsfffSRs8zy5cuVmpqqGTNmaMOGDerWrZuSk5OVl5dn1mwAAAAAAFBn6uyq7zabTStXrtTAgQMrLTNlyhR98MEH2rx5s3PY0KFDlZ+fr4yMDElSQkKCrrjiCj333HOSpLKyMsXExOj+++/X1KlTTZ0HAAAAAADM1qC+G3CmNWvWKCkpyWVYcnKyJk6cKEkqKSnR+vXrNW3aNOd4Pz8/JSUlac2aNZXWW1xcrOLiYufzsrIyHTlyRM2bN5fNZvPsTAAAAAAAcBbDMHT06FFFR0fLz6/qzu2WCuo5OTmKjIx0GRYZGSmHw6Hjx4/r119/VWlpqdsyW7durbTetLQ0zZw505Q2AwAAAABQXXv37lWrVq2qLGOpoG6WadOmKTU11fm8oKBArVu31t69exUcHFyPLavo/zL/o5e/3q3SsopnJPj72TSyV6wevOGSemgZAAAAAKC2HA6HYmJidNFFF52zrKWCelRUlHJzc12G5ebmKjg4WI0aNZK/v7/8/f3dlomKiqq0XrvdLrvdXmF4cHCw5YL68N6d9cq3ufJzc+UAm00a0buzgoMb133DAAAAAADnrTqnX1vqPuqJiYnKyspyGZaZmanExERJUkBAgOLj413KlJWVKSsry1nG27UNa6w5g7rK74xl52+zyc8mzRnUVbFhhHQAAAAAuJCZekT92LFj2rFjh/P5rl27tHHjRjVr1kytW7fWtGnTtH//fi1evFiSdO+99+q5557T5MmT9cc//lGrVq3S66+/rg8++MBZR2pqqkaMGKEePXqoZ8+emjdvngoLCzVq1CgzZ6VODe4Ro8taBqv/s19KkkZdHau7EtoQ0gEAAADAB5ga1L/99ltdd911zufl54mPGDFCL7/8srKzs7Vnzx7n+LZt2+qDDz7Qgw8+qGeffVatWrXSP//5TyUnJzvLDBkyRAcPHtT06dOVk5Oj7t27KyMjo8IF5rxdm+a/hfLUGy5RUIClzlIAAAAAAJikzu6jbiUOh0MhISEqKCiw3Dnq5YpKTilu+keSpJ9mJRPUAQAAAMCL1SSHWuocdQAAAAAAfB1BHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwELqJKgvWLBAsbGxCgwMVEJCgtatW1dp2T59+shms1V4DBgwwFlm5MiRFcanpKTUxawAAAAAAGCqBma/wPLly5Wamqr09HQlJCRo3rx5Sk5O1rZt2xQREVGh/FtvvaWSkhLn88OHD6tbt24aPHiwS7mUlBQtWrTI+dxut5s3EwAAAAAA1BHTj6jPnTtXY8aM0ahRoxQXF6f09HQFBQVp4cKFbss3a9ZMUVFRzkdmZqaCgoIqBHW73e5SrmnTpmbPCgAAAAAApjM1qJeUlGj9+vVKSkr67QX9/JSUlKQ1a9ZUq46XXnpJQ4cOVePGjV2Gr169WhEREerYsaPGjRunw4cPV1pHcXGxHA6HywMAAAAAACsyNagfOnRIpaWlioyMdBkeGRmpnJycc06/bt06bd68WXfffbfL8JSUFC1evFhZWVmaM2eOPvvsM/Xv31+lpaVu60lLS1NISIjzERMTU/uZAgAAAADARKafo34+XnrpJXXp0kU9e/Z0GT506FDn/126dFHXrl3Vvn17rV69Wn379q1Qz7Rp05Samup87nA4COsAAAAAAEsy9Yh6WFiY/P39lZub6zI8NzdXUVFRVU5bWFioZcuWafTo0ed8nXbt2iksLEw7duxwO95utys4ONjlAQAAAACAFZka1AMCAhQfH6+srCznsLKyMmVlZSkxMbHKaVesWKHi4mLddddd53ydffv26fDhw2rRosV5txkAAAAAgPpk+lXfU1NT9Y9//EOvvPKKtmzZonHjxqmwsFCjRo2SJA0fPlzTpk2rMN1LL72kgQMHqnnz5i7Djx07pocfflj//ve/tXv3bmVlZenWW29Vhw4dlJycbPbsAAAAAABgKtPPUR8yZIgOHjyo6dOnKycnR927d1dGRobzAnN79uyRn5/r/oJt27bpyy+/1Mcff1yhPn9/f23atEmvvPKK8vPzFR0drX79+mn27NncSx0AAAAA4PVshmEY9d2IuuZwOBQSEqKCggLLnq9eVHJKcdM/kiT9NCtZQQGWvu4fAAAAAKAKNcmhpnd9BwAAAAAA1UdQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsJA6CeoLFixQbGysAgMDlZCQoHXr1lVa9uWXX5bNZnN5BAYGupQxDEPTp09XixYt1KhRIyUlJWn79u1mzwYAAAAAAKYzPagvX75cqampmjFjhjZs2KBu3bopOTlZeXl5lU4THBys7Oxs5+OXX35xGf/UU09p/vz5Sk9P19q1a9W4cWMlJyfrxIkTZs8OAAAAAACmMj2oz507V2PGjNGoUaMUFxen9PR0BQUFaeHChZVOY7PZFBUV5XxERkY6xxmGoXnz5unRRx/Vrbfeqq5du2rx4sU6cOCA3n77bbNnBwAAAAAAU5ka1EtKSrR+/XolJSX99oJ+fkpKStKaNWsqne7YsWNq06aNYmJidOutt+rHH390jtu1a5dycnJc6gwJCVFCQkKldRYXF8vhcLg8AAAAAACwIlOD+qFDh1RaWupyRFySIiMjlZOT43aajh07auHChXrnnXf06quvqqysTL169dK+ffskyTldTepMS0tTSEiI8xETE3O+swYAAAAAgCksd9X3xMREDR8+XN27d1fv3r311ltvKTw8XC+88EKt65w2bZoKCgqcj71793qwxQAAAAAAeI6pQT0sLEz+/v7Kzc11GZ6bm6uoqKhq1dGwYUNdfvnl2rFjhyQ5p6tJnXa7XcHBwS4PAAAAAACsyNSgHhAQoPj4eGVlZTmHlZWVKSsrS4mJidWqo7S0VD/88INatGghSWrbtq2ioqJc6nQ4HFq7dm216wQAAAAAwKoamP0CqampGjFihHr06KGePXtq3rx5Kiws1KhRoyRJw4cPV8uWLZWWliZJmjVrlq688kp16NBB+fn5evrpp/XLL7/o7rvvlnT6ivATJ07UE088oYsvvlht27bVY489pujoaA0cONDs2QEAAAAAwFSmB/UhQ4bo4MGDmj59unJyctS9e3dlZGQ4Lwa3Z88e+fn9dmD/119/1ZgxY5STk6OmTZsqPj5eX3/9teLi4pxlJk+erMLCQo0dO1b5+fm6+uqrlZGRocDAQLNnBwAAAAAAU9kMwzDquxF1zeFwKCQkRAUFBZY9X72o5JTipn8kSfppVrKCAkzfpwIAAAAAMElNcqjlrvoOAAAAAIAvI6gDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYSJ0E9QULFig2NlaBgYFKSEjQunXrKi37j3/8Q9dcc42aNm2qpk2bKikpqUL5kSNHymazuTxSUlLMng0AAAAAAExnelBfvny5UlNTNWPGDG3YsEHdunVTcnKy8vLy3JZfvXq17rzzTn366adas2aNYmJi1K9fP+3fv9+lXEpKirKzs52P1157zexZAQAAAADAdKYH9blz52rMmDEaNWqU4uLilJ6erqCgIC1cuNBt+SVLlui+++5T9+7d1alTJ/3zn/9UWVmZsrKyXMrZ7XZFRUU5H02bNjV7VgAAAAAAMJ2pQb2kpETr169XUlLSby/o56ekpCStWbOmWnUUFRXp5MmTatasmcvw1atXKyIiQh07dtS4ceN0+PDhSusoLi6Ww+FweQAAAAAAYEWmBvVDhw6ptLRUkZGRLsMjIyOVk5NTrTqmTJmi6Ohol7CfkpKixYsXKysrS3PmzNFnn32m/v37q7S01G0daWlpCgkJcT5iYmJqP1MAAAAAAJioQX03oCp/+ctftGzZMq1evVqBgYHO4UOHDnX+36VLF3Xt2lXt27fX6tWr1bdv3wr1TJs2Tampqc7nDoeDsA4AAAAAsCRTj6iHhYXJ399fubm5LsNzc3MVFRVV5bTPPPOM/vKXv+jjjz9W165dqyzbrl07hYWFaceOHW7H2+12BQcHuzwAAAAAALAiU4N6QECA4uPjXS4EV35huMTExEqne+qppzR79mxlZGSoR48e53ydffv26fDhw2rRooVH2g3A++06VKg5GVt1/2vfaU7GVu06VFjfTQIAAACqxfSu76mpqRoxYoR69Oihnj17at68eSosLNSoUaMkScOHD1fLli2VlpYmSZozZ46mT5+upUuXKjY21nkue5MmTdSkSRMdO3ZMM2fO1KBBgxQVFaWdO3dq8uTJ6tChg5KTk82eHQBe4PVv92rqm5tks9lkGIZsNpte+Gyn5gzqqsE9OO0FAAAA1mZ6UB8yZIgOHjyo6dOnKycnR927d1dGRobzAnN79uyRn99vB/aff/55lZSU6Pbbb3epZ8aMGXr88cfl7++vTZs26ZVXXlF+fr6io6PVr18/zZ49W3a73ezZAWBxuw4Vauqbm1RmSDKM0wP/+3fKm5t0RWwzxYY1rnXdr3+7V/t+Pa5WTRvpjh4xalvLugAAAIDK2AyjfEvWdzgcDoWEhKigoMCy56sXlZxS3PSPJEk/zUpWUIClr/sHWMacjK168fOfVVpW8avN38+msde205SUTjWu191ResMwOEoPAACAaqlJDjX1HHUAqGv7fj2uyvY/Goahfb8er3GdZx6lLy0zXP5OeXOTdnP+OwAAADyIw7QA6p0nu5S3atpINpvtt27vZ7DZbGrVtFGN63z9271V1rn82721OkoPAAAAuENQB1CvPH3htzt6xOiFz3a6HWcYhobUok4zjtIDAAAAlaHrO4B6Y0aX8rZhjTVnUFf52X4b5m+zyc8mzRnUtVYXknMepXejtkfpAQAAgMoQ1AHUG2eXcjfKu5TXxuAeMfrggaudz0ddHatVk/rU+qJvd/SIqfKIem2O0pfjfu8AAAA4G13f4RO4rZY1mdmlvE3z35Zv6g2XnNedE8qP0k8pv+2bTh+lN2TU+ii9xP3eAQAA4B5BHRc8wpB1mXHhN7MM7hGjy1oGq/+zX0o6fZT+roQ253VPdrPu9w4AAADvRtd3XNC4rZa1mdml3AxnH6U/nyBtVrd/AAAAeD+COi5ohCFrM+PCb96CK8kDAACgMnR9xwWNMGR9nu5S7i28qds/AAAA6hZBHRc0wpB38OSF37yFGfd7B+A7uEgqAFzYLvytYfg0M8MQG0k4H2ZdSR7A+bP69zsXSQWACx9BHRc0bqsFK/PVbv+AlVn9+507RgCAbyCoX0DW7Dxc302wpFZNg/TkbV009a0fJEnJl0Xqhs5RigoJrNV7ll1wXFPe3HR6u+isjaTJb25SAz8/RYUE1qqt2QXHtXrbQR08VqzwJnb16RiuFiEXfvf8EydLnf+v/fmIAhv6+2SdV7UPU3bBCWUXnDjvegHUnJnf757y2ro9VY6fm/kf3dmzdR21BgCsI7F98/pugkcR1OETIoN/27AaHB9zXgFr9baDsklyd4k6m6RPt+XVaiNp9bY8vfjFz866bZLe23RA91zbTr0viah1ewHgQubJHZxmfb970sFjxW7bJ51u98FjxXXZHACASQjqQA2ZsZGUXXBcL37xswzjtw3E8r8vfP6zOkYG1+oojq8eoQfgGzy9g9MbQnB4E3uVOxPCm9jruEUAADNwH3Wghso3ktyp7UZS+VGcyur8dFteLerM06QV3+v9TQf0758P6/1NBzRpxff67D81rwsArObMHZxlhlz+vvD5z8qpxSkkZny/e1qfjuFV7ky4riM9sADgQkBQB2rIjI0kTx/FMWMDFgCsxIwdnN4QgluENNI917aT7YyZ97NJNpt0z7Xt6v0cegCAZ9D1HefFF7tWl28kvfD5z85rDfnZTm/E1XYjydNdGb3hPEsAOB9mdFM34/vdDL0viVBs88bOi6SmXBblvEgqUBO+uB1XzpfnHd6BoI5a8+WLn3l6I6lPx3C9t+mA23G1OYrjDedZAsD5MOtcbW8JwZ68SCp8ky9vx/nyvMN70PUdtULX6oobSeezEefprozecJ4lAJwPM7upe/L7HbAiX96O8+V5h3chqKNWzDg30Nf1viRCabd1cT5PuSxKcwd3r9WeXW84zxIAzgfnavuu7ILjem3dHs1ftV2vrduj7ILj9d0kr+PL23HeNu+++nn31fk+E13fUSt0rTaHp7oyest5lgBwPrylmzo8hy7LnuHL23HeNO+++nn31fk+G0Hdh3jyohncx9X62IAF4Au84VxtLlrlGWd2WS7f/ij/+8LnP6tjZLClfuOsvNx9eTvOW+bd2z7vnuKr8+1OnXR9X7BggWJjYxUYGKiEhAStW7euyvIrVqxQp06dFBgYqC5duujDDz90GW8YhqZPn64WLVqoUaNGSkpK0vbt282cBa/n6Xtq07XaO3CeJQDUL0///voyb+qybNZy91R3YF/ejvOWeTfz827lbuXetJ6bzfSgvnz5cqWmpmrGjBnasGGDunXrpuTkZOXluX+Tv/76a915550aPXq0vvvuOw0cOFADBw7U5s2bnWWeeuopzZ8/X+np6Vq7dq0aN26s5ORknTjBxR/cMeOiGWaeG2jlLw8AsCK+N62Ji1Z5lrd0WTZruXsy/Pvydpy3XN/CrM+71Xceest6XhdM7/o+d+5cjRkzRqNGjZIkpaen64MPPtDChQs1derUCuWfffZZpaSk6OGHH5YkzZ49W5mZmXruueeUnp4uwzA0b948Pfroo7r11lslSYsXL1ZkZKTefvttDR06tNptKyo5pQYlpzwwl55XdEa7iqrZxhMnS90O/2RLbpVdfDK35GhwfEyN25jQtrmiQwI1/d2fJEk3dI7UdZ0iFBkcWGlbzuWL7Qe16OvdFc5J+WOvtrr64rBa1SlJxWe0p7iWbfPGOs1ooxm84b30pjrhOTmOE/pi+0EdPlai5k0CdM3F4YoKtsZGXDmzvje9hZXXS7N+f89ul6fm2+qf96ZBDat8P5sGNaz19ocnmbHccxwnquwOHNu8sUsvuurwpu04T382zZh3TzPj827G58jTzme+q5uZ6lNN2mgzDKOynRbnraSkREFBQXrjjTc0cOBA5/ARI0YoPz9f77zzToVpWrdurdTUVE2cONE5bMaMGXr77bf1/fff6+eff1b79u313XffqXv37s4yvXv3Vvfu3fXss89WqLO4uFjFxb/tfXE4HIqJiVHMxNflZw/yyLwCAAAAAFCZsuIi7Z13hwoKChQcHFxlWVO7vh86dEilpaWKjIx0GR4ZGamcnBy30+Tk5FRZvvxvTepMS0tTSEiI8xETU7u91wAAAAAAmM0nrvo+bdo0paamOp+XH1Ff9799z7knw5us/fmI2+E5jhN6ZOUPctd3wmaT0m7rUu/dXCQp/bOdWrf7SKXt7BnbTPf2bl/3DYOL4pOlunfJBklS+rDfyW7BKyz7OjOWkTfU6cn6Vqzfq4zNOSpz833kZzt9F4Xz6bLsqXaa+b3pDcvc6rzl99dbPu/lch0n9PkZ3aCvvTj8vN7HL7Yf1KKvdju72pbfzrS23bXNWO5mLiNPMeP7yBvm+0xW/7x707pem/lOaNfsvF6zLjgcDrWYV72ypgb1sLAw+fv7Kzc312V4bm6uoqKi3E4TFRVVZfnyv7m5uWrRooVLmTO7wp/JbrfLbq94q4WggAYKCrhw9lVUdkua2OaNnffUPvOcofJ7ardp3rgOW1m5yODAKs9JiQwOtORtd3xNjuO3i+C8u+mAkjpHWuZ2MzjN7GVkb+jv8XXR03Web32/Fp2s8mI2vxad9Eh7z7eddfW96Q3L3Iq85ffXWz7v5do0b6z/8dB7l11wXIu+3u0y/+UhZuHXu3RZy5AaX1zMjOWe1DlS/9rsvueoIemGzlH1vj6Z8X1UV59NM1jx827m58jT2x61mW9vyHWnatBGU7u+BwQEKD4+XllZWc5hZWVlysrKUmJiottpEhMTXcpLUmZmprN827ZtFRUV5VLG4XBo7dq1ldaJ0/fUnju4u27qGq0r2zXXTV2jNXdwd/W+xBq3oJC853YZvmz1tjw9svIH5/OMzTmWulIofHsZnbmRsGL93vO60nD5fXbdsdJ9dvnetD5v+P31ls+7Gcy6FZSnl/uZVyovv0K51a5Ubsb3kbd9Nj35O2QGsz5HvrztYSbTdzukpqZqxIgR6tGjh3r27Kl58+apsLDQeRX44cOHq2XLlkpLS5Mk/elPf1Lv3r3117/+VQMGDNCyZcv07bff6sUXX5Qk2Ww2TZw4UU888YQuvvhitW3bVo899piio6NdLliHiqJCAnVnz9b13YxKlX95VLYH2go/Qr7szNvNlCs/6vDC5z+rY2Qwy6iembmMzt74sFpPitXb8vTiFz87n2dsztG/Nufonmvb1WrDuE/HcL236YDbcVYKwHxveger//56y+fdDGbeCsrTy733JRHqGBmsT7fl6eCxYoU3seu6jhGWWc/N+D7yps+mp3+HzOLpzxHbh+YxPagPGTJEBw8e1PTp05WTk6Pu3bsrIyPDeTG4PXv2yM/vtwP7vXr10tKlS/Xoo4/qkUce0cUXX6y3335bl112mbPM5MmTVVhYqLFjxyo/P19XX321MjIyFBjIh8DbWf1HyJeVH3WorEvbp9vyLL0h6gvMWkZW3/gwYyPBmwIw35s4X970efe08iO2lX1vWu2IrdV3+nj6+8hbPpveFlY9+Tli+9A8ddKRf8KECZowYYLbcatXr64wbPDgwRo8eHCl9dlsNs2aNUuzZs3yVBNhIVb/EfJVZh51gGeYsYy8YePDrI0EbwrAfG/ifHnT592TvOmIrbfwtZ4Ekm+HVbYPzWP9M+4BWIK3HXXwRWYsI2/Y+PCmrquAlfni591bjtj6Oqt/Nn05rLJ9aB5TLyYH4MLBRausz4xl5A0bH952sSFfZvULLcE3ecMF/2Btvvw7xPaheQjqAKrFG6446+vMWEbesPHBRoJ34KrAsLLyI7YPXH+x7uzZmt801Igv/w6xfWgeur4DqDZvOE/M13l6GXnD+Zt0XbU+b7jWAQDUlq//DrF9aA6COoAasfp5YvDsMvKWjQ82EqzNG651AADnw9d/h9g+9DyCOgCgSt6y8cFGgnV5w7UOAOB88TsETyKoAwDOiY0Pzzn7gmpJnSPVIqRRPbbIfFwVGACAmuFicgAA1BFfvaCaL19oCQCA2iCoAwBQByq7oJphnL6gWk7BiconrgeevJUaVwUGAKBm6Pp+AUls37y+mwAA1fZTdoHz/692HtKwhDZqG9a4HltkrjkZW+Vns6nUqHhs2c9m03/yjuq237Wsh5ZV9Pq3e/W/Zxz5/2hzrjI252jOoK4a3COmVnUmtm+uoVe01vJv92rfr8fVqmkjDekRo9gLeJlDKio55fw/oV0zBQWw6QkA1cG3JQCgzr3+7V5NfXOT8/miL3dr4Ze7zisIWt2+X4/LcBPSJckwDO37tfZHrD1p16FCTX1zk/P2aZKcOxemvLlJV8Q2q3W4jg1rrCkpnTzRTAAALmh0fQcA1KnKgmCZcToI7j5UWH+NM1Grpo1ks9ncjrPZbGrV1BoXlHv9271VtnP5t3vruEXwZrsP/7Y+z838j3ZdoOs3AHgaQR0AUKd8NQje0SOmyiPqQyzSk8BbjvzD+l7/dq9umv+l8/miL3er719Xa8UFuo4DgCcR1AEAdcpXg2DbsMaaM6ir/GySv5/N5e+cQV0tc662txz5h7X5as8ZAPAUzlEHANQpZxB0E9Yv9CA4uEeMrohtZukLqt3RI0YvfLbT7TgrHfmHtTl7zlSyni//di/XKwCAKhDUAQB1yteDoNUvqFZ+5H/Km5tks9lkGIbzr5WO/MPafLXnDAB4CkEdAFCnCILW5w1H/mFtvtxzBgA8wWZUtrvzAuZwOBQSEqKCggIFBwfXd3MAwCftPlRIEAQuULsOFarvX1e7nKNezs8mrZrUh/UdgM+pSQ7liDoAoF5YvQs4gNqj5wwAnB+COgAAADyOUygAoPYI6gAAADAFPWcAoHa4jzoAAAAAABZCUAcAAAAAwEII6gAAAAAAWIipQf3IkSMaNmyYgoODFRoaqtGjR+vYsWNVlr///vvVsWNHNWrUSK1bt9YDDzyggoICl3I2m63CY9myZWbOCgAAAAAAdcLUi8kNGzZM2dnZyszM1MmTJzVq1CiNHTtWS5cudVv+wIEDOnDggJ555hnFxcXpl19+0b333qsDBw7ojTfecCm7aNEipaSkOJ+HhoaaOSsAAAAAANQJm2EYhhkVb9myRXFxcfrmm2/Uo0cPSVJGRoZuvPFG7du3T9HR0dWqZ8WKFbrrrrtUWFioBg1O71ew2WxauXKlBg4cWKu21eRG8wAAAAAAnK+a5FDTur6vWbNGoaGhzpAuSUlJSfLz89PatWurXU/5TJSH9HLjx49XWFiYevbsqYULF6qq/Q3FxcVyOBwuDwAAAAAArMi0ru85OTmKiIhwfbEGDdSsWTPl5ORUq45Dhw5p9uzZGjt2rMvwWbNm6frrr1dQUJA+/vhj3XfffTp27JgeeOABt/WkpaVp5syZtZsRAAAAAADqUI2PqE+dOtXtxdzOfGzduvW8G+ZwODRgwADFxcXp8ccfdxn32GOP6aqrrtLll1+uKVOmaPLkyXr66acrrWvatGkqKChwPvbu3Xve7QMAAAAAwAw1PqI+adIkjRw5ssoy7dq1U1RUlPLy8lyGnzp1SkeOHFFUVFSV0x89elQpKSm66KKLtHLlSjVs2LDK8gkJCZo9e7aKi4tlt9srjLfb7W6HAwAAAABgNTUO6uHh4QoPDz9nucTEROXn52v9+vWKj4+XJK1atUplZWVKSEiodDqHw6Hk5GTZ7Xa9++67CgwMPOdrbdy4UU2bNiWMAwAAAAC8nmnnqHfu3FkpKSkaM2aM0tPTdfLkSU2YMEFDhw51XvF9//796tu3rxYvXqyePXvK4XCoX79+Kioq0quvvupy4bfw8HD5+/vrvffeU25urq688koFBgYqMzNTTz75pB566CGzZgUAAAAAgDpj6n3UlyxZogkTJqhv377y8/PToEGDNH/+fOf4kydPatu2bSoqKpIkbdiwwXlF+A4dOrjUtWvXLsXGxqphw4ZasGCBHnzwQRmGoQ4dOmju3LkaM2aMmbMCAAAAAECdMO0+6lbGfdQBAAAAAHXJEvdRBwAAAAAANUdQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBBTg/qRI0c0bNgwBQcHKzQ0VKNHj9axY8eqnKZPnz6y2Wwuj3vvvdelzJ49ezRgwAAFBQUpIiJCDz/8sE6dOmXmrAAAAAAAUCcamFn5sGHDlJ2drczMTJ08eVKjRo3S2LFjtXTp0iqnGzNmjGbNmuV8HhQU5Py/tLRUAwYMUFRUlL7++mtlZ2dr+PDhatiwoZ588knT5gUAAAAAgLpgMwzDMKPiLVu2KC4uTt9884169OghScrIyNCNN96offv2KTo62u10ffr0Uffu3TVv3jy34//1r3/ppptu0oEDBxQZGSlJSk9P15QpU3Tw4EEFBAScs20Oh0MhISEqKChQcHBw7WYQAAAAAIBqqkkONa3r+5o1axQaGuoM6ZKUlJQkPz8/rV27tspplyxZorCwMF122WWaNm2aioqKXOrt0qWLM6RLUnJyshwOh3788Ue39RUXF8vhcLg8AAAAAACwItO6vufk5CgiIsL1xRo0ULNmzZSTk1PpdH/4wx/Upk0bRUdHa9OmTZoyZYq2bdumt956y1nvmSFdkvN5ZfWmpaVp5syZ5zM7AAAAAADUiRoH9alTp2rOnDlVltmyZUutGzR27Fjn/126dFGLFi3Ut29f7dy5U+3bt69VndOmTVNqaqrzucPhUExMTK3bCAAAAACAWWoc1CdNmqSRI0dWWaZdu3aKiopSXl6ey/BTp07pyJEjioqKqvbrJSQkSJJ27Nih9u3bKyoqSuvWrXMpk5ubK0mV1mu322W326v9mgAAAAAA1JcaB/Xw8HCFh4efs1xiYqLy8/O1fv16xcfHS5JWrVqlsrIyZ/iujo0bN0qSWrRo4az3z3/+s/Ly8pxd6zMzMxUcHKy4uLgazg0AAAAAANZi2sXkOnfurJSUFI0ZM0br1q3TV199pQkTJmjo0KHOK77v379fnTp1ch4h37lzp2bPnq3169dr9+7devfddzV8+HBde+216tq1qySpX79+iouL0//8z//o+++/10cffaRHH31U48eP56g5AAAAAMDrmRbUpdNXb+/UqZP69u2rG2+8UVdffbVefPFF5/iTJ09q27Ztzqu6BwQE6JNPPlG/fv3UqVMnTZo0SYMGDdJ7773nnMbf31/vv/++/P39lZiYqLvuukvDhw93ue86AAAAAADeyrT7qFsZ91EHAAAAANQlS9xHHQAAAAAA1BxBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEII6gAAAAAAWAhBHQAAAAAACyGoAwAAAABgIQR1AAAAAAAshKAOAAAAAICFENQBAAAAALAQgjoAAAAAABZCUAcAAAAAwEJMDepHjhzRsGHDFBwcrNDQUI0ePVrHjh2rtPzu3btls9ncPlasWOEs5278smXLzJwVAAAAAADqRAMzKx82bJiys7OVmZmpkydPatSoURo7dqyWLl3qtnxMTIyys7Ndhr344ot6+umn1b9/f5fhixYtUkpKivN5aGiox9sPAAAAAEBdMy2ob9myRRkZGfrmm2/Uo0cPSdLf/vY33XjjjXrmmWcUHR1dYRp/f39FRUW5DFu5cqXuuOMONWnSxGV4aGhohbIAAAAAAHg707q+r1mzRqGhoc6QLklJSUny8/PT2rVrq1XH+vXrtXHjRo0ePbrCuPHjxyssLEw9e/bUwoULZRhGpfUUFxfL4XC4PAAAAAAAsCLTjqjn5OQoIiLC9cUaNFCzZs2Uk5NTrTpeeuklde7cWb169XIZPmvWLF1//fUKCgrSxx9/rPvuu0/Hjh3TAw884LaetLQ0zZw5s3YzAgAAAABAHarxEfWpU6dWesG38sfWrVvPu2HHjx/X0qVL3R5Nf+yxx3TVVVfp8ssv15QpUzR58mQ9/fTTldY1bdo0FRQUOB979+497/YBAAAAAGCGGh9RnzRpkkaOHFllmXbt2ikqKkp5eXkuw0+dOqUjR45U69zyN954Q0VFRRo+fPg5yyYkJGj27NkqLi6W3W6vMN5ut7sdDgAAAACA1dQ4qIeHhys8PPyc5RITE5Wfn6/169crPj5ekrRq1SqVlZUpISHhnNO/9NJLuuWWW6r1Whs3blTTpk0J4wAAAAAAr2faOeqdO3dWSkqKxowZo/T0dJ08eVITJkzQ0KFDnVd8379/v/r27avFixerZ8+ezml37Nihzz//XB9++GGFet977z3l5ubqyiuvVGBgoDIzM/Xkk0/qoYceMmtWAAAAAACoM6beR33JkiWaMGGC+vbtKz8/Pw0aNEjz5893jj958qS2bdumoqIil+kWLlyoVq1aqV+/fhXqbNiwoRYsWKAHH3xQhmGoQ4cOmjt3rsaMGWPmrAAAAAAAUCdsRlX3NbtAORwOhYSEqKCgQMHBwfXdHAAAAADABa4mOdS0+6gDAAAAAICaI6gDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYCEEdAAAAAAALIagDAAAAAGAhBHUAAAAAACyEoA4AAAAAgIUQ1AEAAAAAsBCCOgAAAAAAFkJQBwAAAADAQgjqAAAAAABYiGlB/c9//rN69eqloKAghYaGVmsawzA0ffp0tWjRQo0aNVJSUpK2b9/uUubIkSMaNmyYgoODFRoaqtGjR+vYsWMmzAEAAAAAAHXPtKBeUlKiwYP/f3v3HxN1/ccB/MmvOwzh8Phxx6UQiEGkUEFcrDLXMQGbE2XfSbGF5WDZ0UQ0izYlNjeM/imay7a26A/RskU/3LIYAq6GJ+FuoiOmjA2dHCzdHYiBxr2/f/jls5389NsXPu+vn+dju+3u/XkDz/Pla+zF3X0+/8KOHTvm/TW1tbWoq6vD4cOH4XA4EBISgpycHIyNjSl7ioqKcPHiRTQ1NeHEiRM4ffo0SktLF+IpEBERERERES06PyGEWMgfUF9fj/Lycrjd7ln3CSFgsViwe/du7NmzBwDg8XhgMplQX1+PwsJCdHd3IyUlBR0dHcjIyAAAnDx5Ehs2bMDVq1dhsVjmlWl4eBgGgwEejwdhYWH/6PkRERERERERzeV+5tDARco0p76+PrhcLmRnZytrBoMBVqsV7e3tKCwsRHt7O8LDw5UhHQCys7Ph7+8Ph8OBzZs3T/u9x8fHMT4+rjz2eDwA7v5DERERERERES20yflzPq+VSzOou1wuAIDJZPJZN5lMyjGXy4Xo6Gif44GBgTAajcqe6dTU1KC6unrK+ooVK/5pbCIiIiIiIqJ5GxkZgcFgmHXPfQ3q7777Lj744INZ93R3dyM5Ofl+vu2Cq6ysREVFhfLY6/Xixo0biIiIgJ+fn4rJZjc8PIwVK1bgypUrfIu+pFgjubE+8mON5Mb6yI31kR9rJDfWR24PYn2EEBgZGZnXR7bva1DfvXs3tm3bNuuehISE+/mWCrPZDAAYHBxETEyMsj44OIgnnnhC2TM0NOTzdX///Tdu3LihfP109Ho99Hq9z9p8z0Qvg7CwsAfmP+eDijWSG+sjP9ZIbqyP3Fgf+bFGcmN95Pag1WeuV9In3degHhUVhaioqP8q0Fzi4+NhNpvR3NysDObDw8NwOBzKmeOzsrLgdrvR2dmJ9PR0AMCpU6fg9XphtVoXJBcRERERERHRYlqwy7P19/fD6XSiv78fExMTcDqdcDqdPtc8T05ORmNjIwDAz88P5eXlOHDgAH744Qd0dXXh1VdfhcViQX5+PgDgscceQ25uLkpKSnD27Fn89ttvKCsrQ2Fh4bzP+E5EREREREQkswU7mdz+/fvx5ZdfKo+ffPJJAEBLSwvWrVsHAOjp6VHOwA4Ae/fuxejoKEpLS+F2u/Hcc8/h5MmTCA4OVvYcOXIEZWVlsNls8Pf3R0FBAerq6hbqaahKr9ejqqpqytv2SR6skdxYH/mxRnJjfeTG+siPNZIb6yM3rddnwa+jTkRERERERETzt2BvfSciIiIiIiKi+8dBnYiIiIiIiEgiHNSJiIiIiIiIJMJBnYiIiIiIiEgiHNQldujQITzyyCMIDg6G1WrF2bNn1Y5EAN5//334+fn53JKTk9WOpWmnT5/Gxo0bYbFY4Ofnh++++87nuBAC+/fvR0xMDJYsWYLs7GxcunRJnbAaNFd9tm3bNqWncnNz1QmrQTU1NXj66acRGhqK6Oho5Ofno6enx2fP2NgY7HY7IiIisHTpUhQUFGBwcFClxNoznxqtW7duSh+98cYbKiXWlk8//RSpqakICwtDWFgYsrKy8NNPPynH2T/qmqs+7B25HDx4ULls9ySt9hAHdUl99dVXqKioQFVVFc6dO4e0tDTk5ORgaGhI7WgE4PHHH8fAwIBy+/XXX9WOpGmjo6NIS0vDoUOHpj1eW1uLuro6HD58GA6HAyEhIcjJycHY2NgiJ9WmueoDALm5uT49dfTo0UVMqG1tbW2w2+04c+YMmpqacOfOHaxfvx6jo6PKnl27duHHH3/E8ePH0dbWhmvXrmHLli0qptaW+dQIAEpKSnz6qLa2VqXE2rJ8+XIcPHgQnZ2d+P333/Hiiy9i06ZNuHjxIgD2j9rmqg/A3pFFR0cHPvvsM6Smpvqsa7aHBEkpMzNT2O125fHExISwWCyipqZGxVQkhBBVVVUiLS1N7Rg0AwCisbFReez1eoXZbBYffvihsuZ2u4VerxdHjx5VIaG23VsfIYQoLi4WmzZtUiUPTTU0NCQAiLa2NiHE3X4JCgoSx48fV/Z0d3cLAKK9vV2tmJp2b42EEOKFF14QO3fuVC8U+Vi2bJn4/PPP2T+SmqyPEOwdWYyMjIhVq1aJpqYmn5pouYf4irqEbt++jc7OTmRnZytr/v7+yM7ORnt7u4rJaNKlS5dgsViQkJCAoqIi9Pf3qx2JZtDX1weXy+XTTwaDAVarlf0kkdbWVkRHRyMpKQk7duzA9evX1Y6kWR6PBwBgNBoBAJ2dnbhz545PDyUnJyM2NpY9pJJ7azTpyJEjiIyMxOrVq1FZWYlbt26pEU/TJiYmcOzYMYyOjiIrK4v9I5l76zOJvaM+u92Ol156yadXAG3/DgpUOwBN9eeff2JiYgImk8ln3WQy4Y8//lApFU2yWq2or69HUlISBgYGUF1djeeffx4XLlxAaGio2vHoHi6XCwCm7afJY6Su3NxcbNmyBfHx8ejt7cV7772HvLw8tLe3IyAgQO14muL1elFeXo5nn30Wq1evBnC3h3Q6HcLDw332sofUMV2NAOCVV15BXFwcLBYLzp8/j3feeQc9PT349ttvVUyrHV1dXcjKysLY2BiWLl2KxsZGpKSkwOl0sn8kMFN9APaODI4dO4Zz586ho6NjyjEt/w7ioE50n/Ly8pT7qampsFqtiIuLw9dff43t27ermIzo/1NhYaFyf82aNUhNTcXKlSvR2toKm82mYjLtsdvtuHDhAs+7IbGZalRaWqrcX7NmDWJiYmCz2dDb24uVK1cudkzNSUpKgtPphMfjwTfffIPi4mK0tbWpHYv+Y6b6pKSksHdUduXKFezcuRNNTU0IDg5WO45U+NZ3CUVGRiIgIGDK2QwHBwdhNptVSkUzCQ8Px6OPPorLly+rHYWmMdkz7Kf/HwkJCYiMjGRPLbKysjKcOHECLS0tWL58ubJuNptx+/ZtuN1un/3socU3U42mY7VaAYB9tEh0Oh0SExORnp6OmpoapKWl4eOPP2b/SGKm+kyHvbO4Ojs7MTQ0hKeeegqBgYEIDAxEW1sb6urqEBgYCJPJpNke4qAuIZ1Oh/T0dDQ3NytrXq8Xzc3NPp+nITncvHkTvb29iImJUTsKTSM+Ph5ms9mnn4aHh+FwONhPkrp69SquX7/OnlokQgiUlZWhsbERp06dQnx8vM/x9PR0BAUF+fRQT08P+vv72UOLZK4aTcfpdAIA+0glXq8X4+Pj7B9JTdZnOuydxWWz2dDV1QWn06ncMjIyUFRUpNzXag/xre+SqqioQHFxMTIyMpCZmYmPPvoIo6OjeO2119SOpnl79uzBxo0bERcXh2vXrqGqqgoBAQF4+eWX1Y6mWTdv3vT5y3dfXx+cTieMRiNiY2NRXl6OAwcOYNWqVYiPj8e+fftgsViQn5+vXmgNma0+RqMR1dXVKCgogNlsRm9vL/bu3YvExETk5OSomFo77HY7Ghoa8P333yM0NFT5zJ/BYMCSJUtgMBiwfft2VFRUwGg0IiwsDG+99RaysrLwzDPPqJxeG+aqUW9vLxoaGrBhwwZERETg/Pnz2LVrF9auXTvlMkf0v1dZWYm8vDzExsZiZGQEDQ0NaG1txc8//8z+kcBs9WHvqC80NNTnfBsAEBISgoiICGVdsz2k9mnnaWaffPKJiI2NFTqdTmRmZoozZ86oHYmEEFu3bhUxMTFCp9OJhx9+WGzdulVcvnxZ7Via1tLSIgBMuRUXFwsh7l6ibd++fcJkMgm9Xi9sNpvo6elRN7SGzFafW7duifXr14uoqCgRFBQk4uLiRElJiXC5XGrH1ozpagNAfPHFF8qev/76S7z55pti2bJl4qGHHhKbN28WAwMD6oXWmLlq1N/fL9auXSuMRqPQ6/UiMTFRvP3228Lj8agbXCNef/11ERcXJ3Q6nYiKihI2m0388ssvynH2j7pmqw97R073XjJPqz3kJ4QQi/mHASIiIiIiIiKaGT+jTkRERERERCQRDupEREREREREEuGgTkRERERERCQRDupEREREREREEuGgTkRERERERCQRDupEREREREREEuGgTkRERERERCQRDupEREREREREEuGgTkRERERERCQRDupEREREREREEuGgTkRERERERCQRDupEREREREREEvk3VcZvJbkv8vEAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 8))\n", "ax1 = fig.add_subplot(211)\n", "fig = sm.graphics.tsa.plot_acf(resid.values.squeeze(), lags=40, ax=ax1)\n", "ax2 = fig.add_subplot(212)\n", "fig = sm.graphics.tsa.plot_pacf(resid, lags=40, ax=ax2)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:17.880981Z", "iopub.status.busy": "2023-12-14T14:44:17.880587Z", "iopub.status.idle": "2023-12-14T14:44:17.887915Z", "shell.execute_reply": "2023-12-14T14:44:17.887055Z" } }, "outputs": [], "source": [ "r, q, p = sm.tsa.acf(resid.values.squeeze(), fft=True, qstat=True)\n", "data = np.c_[np.arange(1, 25), r[1:], q, p]" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:17.891753Z", "iopub.status.busy": "2023-12-14T14:44:17.891325Z", "iopub.status.idle": "2023-12-14T14:44:17.908693Z", "shell.execute_reply": "2023-12-14T14:44:17.907871Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " AC Q Prob(>Q)\n", "lag \n", "1.0 0.009170 0.026239 8.713184e-01\n", "2.0 0.041793 0.572982 7.508939e-01\n", "3.0 -0.001338 0.573544 9.024612e-01\n", "4.0 0.136086 6.408642 1.706385e-01\n", "5.0 0.092465 9.111351 1.047043e-01\n", "6.0 0.091947 11.792661 6.675737e-02\n", "7.0 0.068747 13.296552 6.520425e-02\n", "8.0 -0.015022 13.368601 9.978086e-02\n", "9.0 0.187590 24.641072 3.394963e-03\n", "10.0 0.213715 39.320758 2.230588e-05\n", "11.0 0.201079 52.359565 2.346490e-07\n", "12.0 0.117180 56.802479 8.580351e-08\n", "13.0 -0.014057 56.866630 1.895209e-07\n", "14.0 0.015398 56.943864 4.000370e-07\n", "15.0 -0.024969 57.147642 7.746546e-07\n", "16.0 0.080916 59.295052 6.876728e-07\n", "17.0 0.041138 59.852008 1.111674e-06\n", "18.0 -0.052022 60.745723 1.549418e-06\n", "19.0 0.062496 62.040010 1.832778e-06\n", "20.0 -0.010303 62.075305 3.383285e-06\n", "21.0 0.074453 63.924941 3.195540e-06\n", "22.0 0.124954 69.152954 8.984238e-07\n", "23.0 0.093162 72.069214 5.803579e-07\n", "24.0 -0.082152 74.344911 4.716006e-07\n" ] } ], "source": [ "table = pd.DataFrame(data, columns=[\"lag\", \"AC\", \"Q\", \"Prob(>Q)\"])\n", "print(table.set_index(\"lag\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* This indicates a lack of fit." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* In-sample dynamic prediction. How good does our model do?" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:17.912764Z", "iopub.status.busy": "2023-12-14T14:44:17.912384Z", "iopub.status.idle": "2023-12-14T14:44:17.952077Z", "shell.execute_reply": "2023-12-14T14:44:17.951186Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1990-12-31 167.048337\n", "1991-12-31 140.995022\n", "1992-12-31 94.862115\n", "1993-12-31 46.864439\n", "1994-12-31 11.246106\n", "1995-12-31 -4.718265\n", "1996-12-31 -1.164628\n", "1997-12-31 16.187246\n", "1998-12-31 39.022948\n", "1999-12-31 59.450799\n", "2000-12-31 72.171269\n", "2001-12-31 75.378329\n", "2002-12-31 70.438480\n", "2003-12-31 60.733987\n", "2004-12-31 50.204383\n", "2005-12-31 42.078584\n", "2006-12-31 38.116648\n", "2007-12-31 38.456730\n", "2008-12-31 41.965644\n", "2009-12-31 46.870948\n", "2010-12-31 51.424878\n", "2011-12-31 54.401403\n", "2012-12-31 55.323515\n", "Freq: A-DEC, Name: predicted_mean, dtype: float64\n" ] } ], "source": [ "predict_sunspots = arma_mod30.predict(\"1990\", \"2012\", dynamic=True)\n", "print(predict_sunspots)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:17.957377Z", "iopub.status.busy": "2023-12-14T14:44:17.955694Z", "iopub.status.idle": "2023-12-14T14:44:17.962296Z", "shell.execute_reply": "2023-12-14T14:44:17.961355Z" } }, "outputs": [], "source": [ "def mean_forecast_err(y, yhat):\n", " return y.sub(yhat).mean()" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:17.968496Z", "iopub.status.busy": "2023-12-14T14:44:17.966707Z", "iopub.status.idle": "2023-12-14T14:44:17.978353Z", "shell.execute_reply": "2023-12-14T14:44:17.977425Z" } }, "outputs": [ { "data": { "text/plain": [ "5.634832966885551" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mean_forecast_err(dta.SUNACTIVITY, predict_sunspots)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise: Can you obtain a better fit for the Sunspots model? (Hint: sm.tsa.AR has a method select_order)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulated ARMA(4,1): Model Identification is Difficult" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:17.991534Z", "iopub.status.busy": "2023-12-14T14:44:17.988913Z", "iopub.status.idle": "2023-12-14T14:44:17.996885Z", "shell.execute_reply": "2023-12-14T14:44:17.996232Z" } }, "outputs": [], "source": [ "from statsmodels.tsa.arima_process import ArmaProcess" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:18.002093Z", "iopub.status.busy": "2023-12-14T14:44:18.000221Z", "iopub.status.idle": "2023-12-14T14:44:18.009478Z", "shell.execute_reply": "2023-12-14T14:44:18.008524Z" } }, "outputs": [], "source": [ "np.random.seed(1234)\n", "# include zero-th lag\n", "arparams = np.array([1, 0.75, -0.65, -0.55, 0.9])\n", "maparams = np.array([1, 0.65])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's make sure this model is estimable." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:18.014693Z", "iopub.status.busy": "2023-12-14T14:44:18.013050Z", "iopub.status.idle": "2023-12-14T14:44:18.020082Z", "shell.execute_reply": "2023-12-14T14:44:18.019178Z" } }, "outputs": [], "source": [ "arma_t = ArmaProcess(arparams, maparams)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:18.026428Z", "iopub.status.busy": "2023-12-14T14:44:18.024394Z", "iopub.status.idle": "2023-12-14T14:44:18.035466Z", "shell.execute_reply": "2023-12-14T14:44:18.034479Z" } }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "arma_t.isinvertible" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:18.041987Z", "iopub.status.busy": "2023-12-14T14:44:18.039758Z", "iopub.status.idle": "2023-12-14T14:44:18.051016Z", "shell.execute_reply": "2023-12-14T14:44:18.050153Z" } }, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "arma_t.isstationary" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* What does this mean?" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:18.056942Z", "iopub.status.busy": "2023-12-14T14:44:18.055109Z", "iopub.status.idle": "2023-12-14T14:44:18.321037Z", "shell.execute_reply": "2023-12-14T14:44:18.320096Z" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 8))\n", "ax = fig.add_subplot(111)\n", "ax.plot(arma_t.generate_sample(nsample=50))" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:18.326947Z", "iopub.status.busy": "2023-12-14T14:44:18.325379Z", "iopub.status.idle": "2023-12-14T14:44:18.336258Z", "shell.execute_reply": "2023-12-14T14:44:18.335370Z" } }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "arparams = np.array([1, 0.35, -0.15, 0.55, 0.1])\n", "maparams = np.array([1, 0.65])\n", "arma_t = ArmaProcess(arparams, maparams)\n", "arma_t.isstationary" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:18.341813Z", "iopub.status.busy": "2023-12-14T14:44:18.340426Z", "iopub.status.idle": "2023-12-14T14:44:18.346624Z", "shell.execute_reply": "2023-12-14T14:44:18.345751Z" } }, "outputs": [], "source": [ "arma_rvs = arma_t.generate_sample(nsample=500, burnin=250, scale=2.5)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:18.352110Z", "iopub.status.busy": "2023-12-14T14:44:18.350668Z", "iopub.status.idle": "2023-12-14T14:44:19.259905Z", "shell.execute_reply": "2023-12-14T14:44:19.258957Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 8))\n", "ax1 = fig.add_subplot(211)\n", "fig = sm.graphics.tsa.plot_acf(arma_rvs, lags=40, ax=ax1)\n", "ax2 = fig.add_subplot(212)\n", "fig = sm.graphics.tsa.plot_pacf(arma_rvs, lags=40, ax=ax2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* For mixed ARMA processes the Autocorrelation function is a mixture of exponentials and damped sine waves after (q-p) lags.\n", "* The partial autocorrelation function is a mixture of exponentials and dampened sine waves after (p-q) lags." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:19.265899Z", "iopub.status.busy": "2023-12-14T14:44:19.264437Z", "iopub.status.idle": "2023-12-14T14:44:19.512959Z", "shell.execute_reply": "2023-12-14T14:44:19.511680Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.10.13/x64/lib/python3.10/site-packages/statsmodels/tsa/statespace/sarimax.py:966: UserWarning: Non-stationary starting autoregressive parameters found. Using zeros as starting parameters.\n", " warn('Non-stationary starting autoregressive parameters'\n", "/opt/hostedtoolcache/Python/3.10.13/x64/lib/python3.10/site-packages/statsmodels/tsa/statespace/sarimax.py:978: UserWarning: Non-invertible starting MA parameters found. Using zeros as starting parameters.\n", " warn('Non-invertible starting MA parameters found.'\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " AC Q Prob(>Q)\n", "lag \n", "1.0 -0.001244 0.000778 9.777436e-01\n", "2.0 0.052350 1.382049 5.010626e-01\n", "3.0 -0.522181 139.090106 5.938064e-30\n", "4.0 0.146506 149.951983 2.084573e-31\n", "5.0 -0.091171 154.166872 1.731083e-31\n", "6.0 0.337059 211.891306 5.568290e-43\n", "7.0 -0.160920 225.075262 5.519054e-45\n", "8.0 0.116132 231.955610 1.142179e-45\n", "9.0 -0.195352 251.464207 4.895753e-49\n", "10.0 0.166410 265.649428 2.760836e-51\n", "11.0 -0.126465 273.858717 2.767679e-52\n", "12.0 0.115015 280.662675 5.334652e-53\n", "13.0 -0.159302 293.742050 4.899046e-55\n", "14.0 0.095846 298.486519 2.444596e-55\n", "15.0 -0.062853 300.531001 4.335557e-55\n", "16.0 0.159244 313.681886 3.718133e-57\n", "17.0 -0.089423 317.837388 2.317190e-57\n", "18.0 0.002504 317.840655 1.018533e-56\n", "19.0 -0.124735 325.959706 9.297882e-58\n", "20.0 0.093960 330.576238 4.414194e-58\n", "21.0 -0.016212 330.713970 1.708363e-57\n", "22.0 0.054804 332.291098 3.279536e-57\n", "23.0 -0.110592 338.726892 6.325402e-58\n", "24.0 0.022742 338.999620 2.166838e-57\n", "25.0 0.029459 339.458216 6.665490e-57\n", "26.0 0.095294 344.266902 2.658405e-57\n" ] } ], "source": [ "lags = int(10 * np.log10(arma_rvs.shape[0]))\n", "arma11 = ARIMA(arma_rvs, order=(1, 0, 1)).fit()\n", "resid = arma11.resid\n", "r, q, p = sm.tsa.acf(resid, nlags=lags, fft=True, qstat=True)\n", "data = np.c_[range(1, lags + 1), r[1:], q, p]\n", "table = pd.DataFrame(data, columns=[\"lag\", \"AC\", \"Q\", \"Prob(>Q)\"])\n", "print(table.set_index(\"lag\"))" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:19.516860Z", "iopub.status.busy": "2023-12-14T14:44:19.516436Z", "iopub.status.idle": "2023-12-14T14:44:20.604634Z", "shell.execute_reply": "2023-12-14T14:44:20.603895Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " AC Q Prob(>Q)\n", "lag \n", "1.0 -0.007899 0.031383 0.859389\n", "2.0 0.004128 0.039972 0.980212\n", "3.0 0.018095 0.205341 0.976722\n", "4.0 -0.006766 0.228509 0.993949\n", "5.0 0.018123 0.395044 0.995465\n", "6.0 0.050690 1.700565 0.945078\n", "7.0 0.010253 1.754087 0.972191\n", "8.0 -0.011208 1.818176 0.986088\n", "9.0 0.020292 2.028663 0.991006\n", "10.0 0.001028 2.029204 0.996111\n", "11.0 -0.014033 2.130285 0.997983\n", "12.0 -0.023858 2.423052 0.998426\n", "13.0 -0.002108 2.425342 0.999339\n", "14.0 -0.018784 2.607562 0.999589\n", "15.0 0.011317 2.673844 0.999805\n", "16.0 0.042158 3.595554 0.999443\n", "17.0 0.007943 3.628344 0.999734\n", "18.0 -0.074312 6.504019 0.993685\n", "19.0 -0.023378 6.789205 0.995255\n", "20.0 0.002398 6.792213 0.997313\n", "21.0 0.000488 6.792338 0.998515\n", "22.0 0.017953 6.961578 0.999024\n", "23.0 -0.038576 7.744617 0.998744\n", "24.0 -0.029817 8.213410 0.998859\n", "25.0 0.077850 11.415980 0.990674\n", "26.0 0.040407 12.280577 0.989478\n" ] } ], "source": [ "arma41 = ARIMA(arma_rvs, order=(4, 0, 1)).fit()\n", "resid = arma41.resid\n", "r, q, p = sm.tsa.acf(resid, nlags=lags, fft=True, qstat=True)\n", "data = np.c_[range(1, lags + 1), r[1:], q, p]\n", "table = pd.DataFrame(data, columns=[\"lag\", \"AC\", \"Q\", \"Prob(>Q)\"])\n", "print(table.set_index(\"lag\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise: How good of in-sample prediction can you do for another series, say, CPI" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:20.608581Z", "iopub.status.busy": "2023-12-14T14:44:20.608267Z", "iopub.status.idle": "2023-12-14T14:44:20.627902Z", "shell.execute_reply": "2023-12-14T14:44:20.626963Z" } }, "outputs": [], "source": [ "macrodta = sm.datasets.macrodata.load_pandas().data\n", "macrodta.index = pd.Index(sm.tsa.datetools.dates_from_range(\"1959Q1\", \"2009Q3\"))\n", "cpi = macrodta[\"cpi\"]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Hint: " ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:20.632085Z", "iopub.status.busy": "2023-12-14T14:44:20.631758Z", "iopub.status.idle": "2023-12-14T14:44:20.936276Z", "shell.execute_reply": "2023-12-14T14:44:20.935557Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 8))\n", "ax = fig.add_subplot(111)\n", "ax = cpi.plot(ax=ax)\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "P-value of the unit-root test, resoundingly rejects the null of a unit-root." ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:20.940899Z", "iopub.status.busy": "2023-12-14T14:44:20.939777Z", "iopub.status.idle": "2023-12-14T14:44:20.960321Z", "shell.execute_reply": "2023-12-14T14:44:20.959667Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.9904328188337422\n" ] } ], "source": [ "print(sm.tsa.adfuller(cpi)[1])" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 4 }