{"cells": [{"cell_type": "markdown", "metadata": {}, "source": ["# Saisonnalit\u00e9s, changement de r\u00e9gime, COVID en France\n", "\n", "On s'int\u00e9resse aux s\u00e9ries temporelles de l'\u00e9pid\u00e9mie du COVID en France r\u00e9cup\u00e9r\u00e9es depuis data.gouv.fr : [Chiffres-cl\u00e9s concernant l'\u00e9pid\u00e9mie de COVID19 en France](https://www.data.gouv.fr/en/datasets/chiffres-cles-concernant-lepidemie-de-covid19-en-france/)."]}, {"cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [{"data": {"text/html": ["
"], "text/plain": [" date granularite maille_code maille_nom \\\n", "43080 2021-02-10 region REG-75 Nouvelle-Aquitaine \n", "43081 2021-02-10 region REG-76 Occitanie \n", "43082 2021-02-10 region REG-84 Auvergne-Rh\u00f4ne-Alpes \n", "43083 2021-02-10 region REG-93 Provence-Alpes-C\u00f4te d'Azur \n", "43084 2021-02-10 region REG-94 Corse \n", "\n", " cas_confirmes cas_ehpad cas_confirmes_ehpad cas_possibles_ehpad \\\n", "43080 NaN NaN NaN NaN \n", "43081 NaN NaN NaN NaN \n", "43082 NaN NaN NaN NaN \n", "43083 NaN NaN NaN NaN \n", "43084 NaN NaN NaN NaN \n", "\n", " deces deces_ehpad reanimation hospitalises \\\n", "43080 2510.0 NaN 213.0 1524.0 \n", "43081 2882.0 NaN 276.0 1886.0 \n", "43082 8453.0 NaN 400.0 3699.0 \n", "43083 5010.0 NaN 438.0 3581.0 \n", "43084 133.0 NaN 7.0 58.0 \n", "\n", " nouvelles_hospitalisations nouvelles_reanimations gueris depistes \\\n", "43080 78.0 20.0 10227.0 NaN \n", "43081 121.0 25.0 12801.0 NaN \n", "43082 213.0 42.0 34579.0 NaN \n", "43083 240.0 33.0 24080.0 NaN \n", "43084 4.0 3.0 587.0 NaN \n", "\n", " source_nom source_url source_archive source_type \n", "43080 OpenCOVID19-fr NaN NaN opencovid19-fr \n", "43081 OpenCOVID19-fr NaN NaN opencovid19-fr \n", "43082 OpenCOVID19-fr NaN NaN opencovid19-fr \n", "43083 OpenCOVID19-fr NaN NaN opencovid19-fr \n", "43084 OpenCOVID19-fr NaN NaN opencovid19-fr "]}, "execution_count": 4, "metadata": {}, "output_type": "execute_result"}], "source": ["from pandas import DataFrame, read_csv, to_datetime\n", "df = read_csv(\"https://www.data.gouv.fr/en/datasets/r/0b66ca39-1623-4d9c-83ad-5434b7f9e2a4\")\n", "df.tail()"]}, {"cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": ["# Il y a une date 2020-11_11\n", "df['date'] = to_datetime(df['date'].apply(lambda s: s.replace(\"_\", \"-\")))"]}, {"cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [{"data": {"text/html": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["gr['cas_confirmes'].plot(figsize=(14, 4), grid=True, title=\"Cas positifs\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Il y a des petits probl\u00e8mes de donn\u00e9es... On corrige de fa\u00e7on automatique ou \u00e0 la main... Etant donn\u00e9 que les donn\u00e9es n'\u00e9taient pas fiables avant juin 2020 car pas assez de tests, on commence la s\u00e9rie en septembre 2020. Il ne reste donc plus qu'une date un peu probl\u00e9matique, le 11 novembre."]}, {"cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["covsept = gr.loc[gr.index >= datetime(2020, 9, 1), 'cas_confirmes']\n", "covsept.diff().plot(figsize=(14, 4), grid=True, title=\"Cas positifs quotidiens\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Changements de r\u00e9gimes"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### fbprophet quand \u00e7a marche"]}, {"cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": ["Importing plotly failed. Interactive plots will not work.\n"]}, {"name": "stdout", "output_type": "stream", "text": ["'Prophet' object has no attribute 'stan_backend'\n"]}], "source": ["from fbprophet import Prophet\n", "from fbprophet.plot import add_changepoints_to_plot\n", "try:\n", " m = Prophet(changepoint_prior_scale=0.5)\n", " fig = m.plot(covsept)\n", " a = add_changepoints_to_plot(fig.gca(), m, covsept)\n", "except AttributeError as e:\n", " print(e)\n", " # Sur Windows, fbprophet est compliqu\u00e9 \u00e0 installer.\n", " # J'ai abandonn\u00e9. C'est plus simple sous Linux."]}, {"cell_type": "markdown", "metadata": {}, "source": ["On passe \u00e0 un autre module. Il compare localement la moyenne de la s\u00e9rie \u00e0 la s\u00e9rie elle-m\u00eame. Sur ce type de s\u00e9rie avec une p\u00e9riodicit\u00e9, \u00e7a ne marche pas tr\u00e8s bien."]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Ecart \u00e0 la moyenne"]}, {"cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["import ruptures\n", "\n", "signal = covsept.diff().values\n", "\n", "algo = ruptures.Pelt(model=\"rbf\").fit(signal)\n", "result = algo.predict(pen=10)\n", "\n", "ruptures.display(signal, result, result);"]}, {"cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [{"data": {"text/plain": ["((162, 1), (162,))"]}, "execution_count": 14, "metadata": {}, "output_type": "execute_result"}], "source": ["import numpy\n", "signal = covsept.diff().values\n", "X = numpy.arange(signal.shape[0]).reshape(-1, 1).astype(signal.dtype)[1:]\n", "y = signal[1:]\n", "X.shape, y.shape"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Cuisine maison"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Donc je suis finalement pass\u00e9 \u00e0 quelque chose que j'ai cod\u00e9 : un arbre de r\u00e9gression mais donc chaque feuille est une r\u00e9gression lin\u00e9aire et non une constante. Ca manque un peu de th\u00e9orie mais rien n'emp\u00eache d'\u00eatre un peu inventif :[PiecewiseTreeRegressor](http://www.xavierdupre.fr/app/mlinsights/helpsphinx/mlinsights/mlmodel/piecewise_tree_regression.html)."]}, {"cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": ["C:\\xavierdupre\\__home_\\github_fork\\scikit-learn\\sklearn\\tree\\_classes.py:335: FutureWarning: The parameter 'X_idx_sorted' is deprecated and has no effect. It will be removed in 1.1 (renaming of 0.26). You can suppress this warning by not passing any value to the 'X_idx_sorted' parameter.\n", " warnings.warn(\n"]}, {"data": {"text/plain": ["PiecewiseTreeRegressor(min_samples_leaf=14)"]}, "execution_count": 15, "metadata": {}, "output_type": "execute_result"}], "source": ["from mlinsights.mlmodel import PiecewiseTreeRegressor\n", "ptr = PiecewiseTreeRegressor(min_samples_leaf=14)\n", "ptr.fit(X, y)"]}, {"cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["import matplotlib.pyplot as plt\n", "fig, ax = plt.subplots(1, 1, figsize=(14, 4))\n", "ax.plot(X, y)\n", "ax.plot(X, ptr.predict(X))\n", "ax.set_title(\"Changement de r\u00e9gime estimer avec des arbres de r\u00e9gression\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["L'\u00e9pid\u00e9mie progresse de fa\u00e7on explonentielle. Il vaudrait sans doute mieux \u00e9tudier le logarithme de la s\u00e9rie diff\u00e9renci\u00e9e."]}, {"cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": ["C:\\xavierdupre\\__home_\\github_fork\\scikit-learn\\sklearn\\tree\\_classes.py:335: FutureWarning: The parameter 'X_idx_sorted' is deprecated and has no effect. It will be removed in 1.1 (renaming of 0.26). You can suppress this warning by not passing any value to the 'X_idx_sorted' parameter.\n", " warnings.warn(\n"]}, {"data": {"image/png": 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+eJEQolII8SOvObwghPib1/+/8TqW67scyzIhxI1e614rhFjp9f94IcRXQohaIUS+8N2oVqFQKBQ+UAJHoVAoBjdvAOcKIeIAdPFyOfCavvwFtC7to4Hj0Dqy3+i1/WzgAJCB1sX+r2hd3pOAocD//Iz7PyABGAnMR+scf12X/eYDqcC/gWc9wqAH7gTmANOBacAs4I/6sZ0N/BJYqB/Pgi7bWvV5JALnAbcIIS7sss58YAJwlveDUso7gW+B26WUsVLK270Wnw/MBKainVvvbWejdaBPQTvnb+jrjgauRhNM3VL79GP5NXAGWsf7oGuQhBAxwFf6eOnAFcBjQoiJwe5DoVAojmWUwFEoFIpBjJSyAPgOuEh/6DTAJqVcK4TIAM4FfiGltEopK4GH0C6IPZRKKf8npXRKKVuANmAYkCWlbJVSrqQLuoi6AviDlLJJSnkIeAC4xmu1Ainl01JKF/AikIkmonriKuAeKWWllLIKrV+JZ7+XA89LKXdKKW3AXV3OxTIp5XYppVtKuQ14HU3QeHOXfi5agpiLh39KKev1mp2laOLLw0Ep5fP6cb4J5Ojzt0spvwQcaGKnK55j2SGltHY9lh44Hzikj+vUe0y9C1zWi30oFArFMYsSOAqFQjH4eQ24Uv/7B3REb4YBZqBMT6GqB55Eu+vvoajLvn6L1ghxvRBipxDieh/jper7LfB6rADI9vq/3POHLkbAq6A/AFk+9pvltcx7vp3mLoSYLYRYqqfNNQA363PF3zZBUu71t43Ox1Hh9XcLgJSy62O+jrvrsRT4WMcfw4DZnudUf16vQmuwq1AoFIoeUEWYCoVCMfh5G3hACDEULZIzV3+8CLADqVJKp59tO3VzllKWAz8GEEKcDHwthFghpdzntVo1HZGeXfpjuUBJCI6lVN/vTq/9lup/l6GlzXnI6bLta8AjwDlSylYhxH/oLnACda8eyM7WZXSef26X5VYg2ut/b/FSBCyXUp4RprkpFArFUY2K4CgUCsUgR0/lWgY8j5YytVt/vAytnuYBIUS8EMIghBglhOiattWOEOIyXSgB1KFd9Lu7jOcC3gLuFULECSGGodXGvBKCw3kd+KMQIk0IkQr82Wu/bwHXCSEmCCGiga49ZeKAWl3czEKLZvWGCrSaooHgLeBaIcRE/Vj+0mX5FuBiIUS0bjxwg9eyT4CxQohrhBBm/WemEGLCwExdoVAojmyUwFEoFIojg9fQCtVf6/L4D4EItEhLHfAOWj2MP2YC64QQzcBHwM+llAd8rPdTtCjDAWClPu5z/TkAnb8BG9EK97ej1Rf9DUBK+TnwMFodzD5grb6NXf99K3CPEKIJTRi91cux/wtcqju/Pdyfg+gJ/Vj+AyxBO5YlXVZ5CK1+pwKthulVr22b0MwirkCLbpUD/wIsKBQKhaJHhJQDGbFXKBQKhSI49IjFDsASIAXviEEIIYExXdIBFQqFQhFiVARHoVAoFIMGIcRFeq+cJLSoxcdHg7hRKBQKxcChBI5CoVAoBhM/ASqB/YALuOXwTkehUCgURxoqRU2hUCgUCoVCoVAcNagIjkKhUCgUCoVCoThq6LEPjhDiObSuypVSysn6Y5ehdWWeAMySUm70s+0hoAktzcAppZwRzKRSU1Pl8OHDg1lVoVAoFAqFQqFQHINs2rSpWkqZ1vXxYBp9voDWWO0lr8d2ABejdczuiVOllNXBTNLD8OHD2bjRp2ZSKBQKhUKhUCgUCoQQBb4e71HgSClXCCGGd3lst77TkExOoVAoFAqFQqFQKEJBuGtwJPClEGKTEOKmQCsKIW4SQmwUQmysqqoK87QUCoVCoVAoFArF0Ui4Bc7JUsrjgXOA24QQ8/ytKKV8Sko5Q0o5Iy2tWyqdQqFQKBQKhUKhUPRIWAWOlLJE/10JvA/MCud4CoVCoVAoFAqF4tgmbAJHCBEjhIjz/A2ciWZOoFAoFAqFQqFQKBRhoUeBI4R4HVgDjBNCFAshbhBCXCSEKAbmAp8KIRbr62YJIT7TN80AVgohtgLrgU+llF+E5zAUCoVCoVAoFAqFIjgXtSv9LHrfx7qlwLn63weAaf2anUKhUCgUCoVCoVD0gnCbDCgUCoWinxTX2fh6V8XhnoZCoVAoFEcESuAoFArFIOeRJfu45dVNuN3ycE9FoVAoFIpBjxI4CoVCMcjZUlRPm0tSZ3Mc7qkoFAqFQjHoUQJHoVAoBjE2h5O9lc0AVDXbD/NsFAqFQqEY/CiBo1AoFIOYnaWNuPTUtKomJXAUCoVCoegJJXAUCoViELO1qL79byVwFAqFQqHoGSVwFAqFYhCzrbiBpGgzANUqRU2hUCgUih5RAkehUCgGMVuL65k9IoVIs0FFcBQKhUKhCAIlcBQKhWKQUm9zUFBjY2pOAmlxFiVwFAqFQqEIAiVwFAqFYpCyrbgBgOlDE0mLtSgXNYVCoVAogkAJHIVCoRikeAwGJg9VERyFQqFQKIJFCRyFQqEYpGwtbmBkWgzxkWbS4ixUN6tGnwqFQqFQ9IQSOAqFQjEIkVKytbie6UMTAUiNtVBrddDmch/eiSkUCoVCMchRAkehUCgGIeWNrVQ12Zk6NAGAtDgLADUqiqNQKBQKRUCUwFEoFIpByNYizWBgak4iAGmxmsBRdTgKhUKhUARGCRyFQqEYhGwrrsdkEEzMjAc6IjhVza2Hc1oKhUKhUAx6lMBRKBSKQcjW4nrGZ8YRaTYCXgJHRXAUCoVCoQiIEjgKhUIxyHC7JduKG5iqGwyAZjIAKCc1hUKhUCh6QAkchUKhGGQcrLHS1Opsd1ADiDQbiYs0qQiOQqFQKBQ9oASOQqFQDDK2FdcDMDUnodPjqtmnQqFQKBQ906PAEUI8J4SoFELs8HrsMiHETiGEWwgxI8C2Zwsh8oUQ+4QQvw/VpBUKheJoZmtRA1FmI6PTYjs9nharBI5CoVAoFD0RTATnBeDsLo/tAC4GVvjbSAhhBB4FzgEmAlcKISb2bZoKhUJxbCClZEtRPVOyEzAZO39Ep8VZqGpWAkehUCgUikD0KHCklCuA2i6P7ZZS5vew6Sxgn5TygJTSAbwBLOrzTBUKheIoZ0dJA1c/u44tRfXMHZXSbXlanIVqFcFRKBQKhSIgpjDuOxso8vq/GJjtb2UhxE3ATQC5ublhnJZCoVAMLopqbdz/ZT4fbiklOSaCu743kavmDOu2XmqshSa7kxaHi6gI42GYqUKhUCgUg59wCpxeIaV8CngKYMaMGfIwT0ehUCgGhK1F9Vz2xBoMBrj91NH8ZP5I4iLNPtf19MKpbraTkxw9kNNUKBQKheKIIZwCpwTI8fp/qP6YQqFQKHS+3FWOW0qW/epUshKjAq7rETiVTUrgKBQKhULhj3DaRG8AxgghRgghIoArgI/COJ5CoVAccWwrbmB8ZlyP4gY0FzVAOakpFAqFQhGAYGyiXwfWAOOEEMVCiBuEEBcJIYqBucCnQojF+rpZQojPAKSUTuB2YDGwG3hLSrkzXAeiUCgURxput2RrUT1TvRp6BiJdj+AoJzWFQqFQKPzTY4qalPJKP4ve97FuKXCu1/+fAZ/1eXYKhUJxFHOoxkpjq5PpQQqc5JgIhEA5qSkUCoVCEYBwpqgpFArFMYWUEpc7eI+UrcX1AEzLSQxqfZPRQHJ0hIrgKBQKhUIRACVwFArFEc2SvAr2VjQd7mkA8OcPd3Lew98Gvf7WogaiI4yMTo8Nepu0OIuqwVEoFAqFIgBK4CgUiiOWfZXN/PilTTy8ZN/hngrfFdbx8toC8sqbqGxqDWqbLUX1TMlOwGgQQY+jBI5CoVAoFIFRAkehUByx/PPzPFxuSWl9y2Gdh8st+fOHO4gwaR+p24sbetzG4XSzq7SR6UGmp3lIi1UCR6FQKBSKQCiBo1AojkjW7K/h690VRJoNlIVB4BTW2Ki3OYJa9/X1hewoaeSviyZhELA1CIGTV96Iw+X27aAm/dfxpMVZqG62IwOso1AoFArFsYwSOAqF4ojD7Zbc+9kushIiuWbOMCqa7L0q7g+03693VXD1M+uYd99Sfvfuth63qbU6uG9xPnNHpnD5jBzGpMexXTcPCMTWIm2daTkJYKuFPYvhm3vg+fPg79mw+n8+t0uNtWB3ummyO3tzaAqFQqFQHDP0aBOtUCgUg40PtpSwo6SRh74/DZvDhcstqWxqJTOh52aZvpBS8vLaAp5deZCCGhtD4iMZPySOtQdqcbslhgA1MvctzsNqd3L3okkIIZgyNIFl+ZVIKRHCx3ZuN9TsxbL9Hf4btZHsV++C6j3aMmGEzKkQmwYbn4O5t0OXfaTFdTT7jI809+l4FQqFQqE4mlECR6FQHFG0OFzctzifqUMTWDQtm+V7qgAore+7wFmaX8mfP9zJcbmJ/OascZw1aQgfbC7hN+9sY19VM2Mz4nxut7Wonjc2FHHDSSPa15k2NIF3NhVT2tBKdmIUOKxQ8h0UrYOi9VC8HlrquBxoNsQhkk+CaVdAzmzIOg4iYuC7l+Cjn0LZVsia3mlMb4EzKi149zWFQqFQKI4VlMBRKBRHFM+tOkhZQyv/+f50DAZBZmIkAGUNLUBSn/a5NK+K6Agjb9w0B4vJCMDM4ckAbDhU61PgSCn580c7SY218POFY9ofPz7RyvcMq3F+8hlYd0D5dpAubWHqOBh/Pi2ZMzn/AweLTpvPzxaO7T6h8efDJ/8HO94NKHAUCoVCoVB0RwkchUJxxFDe0MpjS/dx5sQMZo9MAWiP2pTVB2fN3BUpJcv2VHLiqJR2cQMwLCWa1FgLGw/VcdXsYd2221fZzM6iav4z30jclmfaIzSTGkv4XwQ4DkRC7kw4+f+06MzQGRCtiabN+6vZ717HtFw/giw6GUadBjs/gDPu6ZSmlhY7+AXOgapmXltXyB/OndArC2yFQqFQKEKBEjgKheKIoLrZztXPrkMCvz9nfPvj8ZEmYiKMlDb0zUntUI2NotoWbjplZKfHhRDMHJ7EhkO1HQ9aa7QUs6J1xOxYznbLDqLW6U5rCTmQOwdyZvPz1RHUxY7jpWtP9Dnm1iLNZW1qdoL/iU26GPbeDMUbIWdm+8MJUWZMBkF18+AVOF/vruCZlQe5YlYOo9N9p/cpFAqFQhEulMBRKBSDnjqrg6ufWUdxnY0XrpvFSK/aEyEEmYlRfY7gLM+vBGD+2PTOC9xuFqbWEb/7C2xvv0l0+Sao2astM5iwGUex1nI2Fy+6GIbOgoTs9k2jS7azdFupX6OBrUX1DEuJJikmwv/Exp8LxggtTc1L4BgMgtRB3gvHatdS8vZVNiuBo1AoFIoBRwkchUIxqGloaeOa59ZxoNrKcz+ayRw9Nc2bzIRIvQan9yzfU8WI1BhyY91wcIWWala4DorXc0lrA5eYwbE3EYbPhek/gJzZNKVM5px/ruL6k0fApAnd9jl1aAKvry+ksNbGsJSYbsu3Fte31/j4JTIBxpwJuz6As/4Ohg5X/7Q4C1WDOIJjc2gW1vurrId5JgqFQqE4FlECR6FQDFqaWtv40XPryS9v4qlrZnDymFSf62UlRLG7rCn4HUsJDUU4Dq3l9IPvcFrMIfjnvg4zgLQJMPFCnENn8b33HcyeNIu7Fk1u33zVjnLaXJJTx6X73P3UoVrq2dbihm4Cp7KxlbKGVqblJPY8z0kXQd4nULgGhp/U/nBanIWKxr5FrAYCq6MjgqNQKBQKxUCjBI5CoRgUSCl5dV0hO0sbKa6zUVRro6S+BSnhsauO59TxvsUEQGZiJNXNduxOVyejgHacDs3NrGhdx09TGRHARcKCI+54mPnLDjOAKK343wQkbVrLhoK6Trtbll9JnMXECcN8mwSMzYjDYjKwvbieC6ZldVq2tVirv5meE6D+pn1HZ4MpCna+11ngxFrYUdLQ8/aHCavehFQJHIVCoVAcDpTAUSgUg4L9Vc388YMdJESZGZ4SzeTsBM6Zksmp49KZNSJwOleW7qRW0WAnNyUarNVazxlP75nS78CpRzwScmH4yZAzm6cPpfLgNjObbjwbInx/HM4YnswjS/bS1NpGXKRZc13Lr+KUsamYjQaf25iNBiZmxbOtuLsI2VpUj9EgmJQVhMCxxMLYszQ3tbP/BUZtjmlxFmqsjh6bkB4uPDU4+6uaB+0cFQqFQnH0ogSOQqEYFOSXa3f7X71xNpMDuYt1xe1mFIVcYVxC5GfvQt0WqN2vLTOYIXMazLgBcmZpP/EdEZW3Vi5nxohIov2IG4CZw5NwS9hcWM+8sWnklTdR3tjKAj/paR6mZmsNP11u2W6V7HZLvt1XzbiMOCLNPiJNvph8sVaHc+hbGHUqAKmxEbjckjqbgxTdNnow4anBsTlclDXqDU8VCoVCoRgglMBRKBSDgvyKJgwCRqfHBl7R3gwlG70iNBs4wd7ACWawFyXBiLlw/A+1dLOs6WD2fXFdUt/C3spmvj8zJ+Bwx+UmYRCwsaCOeWPTWKq7ri0YmxZwuylDE3lxTQEHqzucxF5ZV8DWonruvWhywG07MeZMiIjV0tR0gZMWpzU3rWq2D0qBY3W4iI4wYnO42FfZrASOQqFQKAYUJXAUCsWgYG9FE8NSYjpHNqSE+kIvMbMOKnaAdAMC0ifA5IuwZ87grHftXDZvPredNiao8ZbnVwEwvwehEmsxMSEzno16P5xleVVMyoonPT4y4HbTPEYDRQ2MTo/jQFUzf/9sN/PGpvGDWblBzRHQBNq4c2H7O5A7F6ZdSVpcR7PP8UOC39VAYbU7mZyVwPpDteyrbO7xHCsUCoVCEUqUwFEoFIOC/IomxqdZtMaWReugcK0mbJrLtRUiYjUDgHm/0VLNsmdAVCIAFqDu0y8p64Wz2PI9lWQlRPYcMQJmDk/mzQ1F1DTb2VRYxy3zR/W4zci0WKIjjGwvaWDR9Cx+9fZWIowG/n3JVJ+9cQKy8C5oKIYPboGd7zPkpH8AUNk4OK2ibXYn04Ymkl/RpIwGFAqFQjHg9ChwhBDPAecDlVLKyfpjycCbwHDgEHC5lLLOx7YuYLv+b6GU8oLQTFuhUBxNtLa5qK+p5MGWX8EzjdqDicNgxDy9dmY2pE9sL7L3RWZCZNDNPttcblbtq+F70zKDEhszhifxwupDPLniAC635NTxPUckjAbB5OwEthXX8+SKA2wurOe/V0xnSELgyI9PErLh2k9h/VPwzd3kFJ7KZcYrKG8Y2/t9DQBWh4tYi5HR6bHsr1ICR6FQKBQDSzARnBeAR4CXvB77PfCNlPKfQojf6///zse2LVLK6f2dpEKhOLo5UGVlJjuJcjZqbmGTLoS43uVeZSdGUdoQnMD5rqCOZruT+WMDGwV4mDFMc3F7cfUhEqPNTM/xbQ/dlanZCby0poDtJQ2cNyWzm2V0rzAYYM7NMPZMxIc/5b6Cp8jfvBVOeA4ShvZ9v2HA5nASYzExOi2Wr3dXHO7pKBQKheIYw7fHqRdSyhVAbZeHFwEv6n+/CFwY2mkpFIpjib2VTcwy5OM2WmDG9b0WN6D1wilraAlq3a92VWAyCE4cnRLU+kMSIslJjsLudHPKmLR2V7SemDI0AYfLTWJ0BH+9cHLvU9N8kTwSfvQxj0XfzLDmrfDYXPjuJa1eaRBgd7poc0lN4KTHUmN1UGd1HO5pKRQKheIYokeB44cMKWWZ/nc5kOFnvUghxEYhxFohxIWBdiiEuElfd2NVVVUfp6VQKI5E9lQ0McuQp9XVmCL6tI/MhCjqbW20OFwB1/tmdwXPrTrIOVMyiY80B71/TxTn1HHBF8zPHZlCdmIU9106leSYvh2XTwwGNg+5jJ/E/k+zwf7op/DKxVBfFLox+ohN74ETHWFsr2/ap9LUFAqFQjGA9FXgtCOllIC/W4fDpJQzgB8A/xFC+K3MlVI+JaWcIaWckZamHHcUimOJQ6WVTDQUYBh+Yp/3kZWo1baUBojibC9u4PbXNjMpK4F/XTKlV/s/bXw6cZGmXjmCpcdHsur3p/XYM6cvZCdG8V1jAvzwIzjvAShcp0VzNj5/WKM5Vr0HTkyEqUPgKKMBhUKhUAwgfXVRqxBCZEopy4QQmUClr5WklCX67wNCiGXAccD+Po6pUCiOUiLLN2LErdkg95HMBK3XSll9K6PSujujFdfZuP7FDSTHRPDstTMCNvf0xflTMzl78hDMxn7fFwoJWYmRNNmdNDpcxM+8EUafAR/dDp/8QmsM+r2HIWlYp20+3VbGtuL6To/lJEdz9ZzO6/UHmx5Bi7GYyE6MItJsUAJHoVAoFANKXwXOR8CPgH/qvz/suoIQIgmwSSntQohU4CTg332dqEKhODppcbgYbt2K22TAkDOrz/vJ0gWOrwhOQ0sb1z2/gdY2F6/dOJv0uN47mQkhMBtDUEMTIrwFXfwQsyZmfvgRbHoBvvwjPH4inHE3nHA9GAxIKfndu9tobXNh0o/D5Za0uSRnTsro0znxhdWuRXCiLUYMBsHI1FglcBQKhUIxoPR4K1II8TqwBhgnhCgWQtyAJmzOEELsBRbq/yOEmCGEeEbfdAKwUQixFVgK/FNKuSscB6FQKI5c9lU2M8uQR2PSRLDE9Xk/GQla88uuVtFut+SWVzZxqMbKk9ecwJiMvo8xmMhK1AVdvZegEwJmXAe3roGhM+HTX8FLF0DdIUrqW2i2O7ln0WTy/noOeX89h1dvnAPAjpKGkM3LqtfgxOgRslHKKlqhUCgUA0yPERwp5ZV+Fp3uY92NwI3636uB3iW5KxSKY459pTWcK/bTknttv/ZjMRlJjbV0c1L7rrCO1ftruPuCSZw4KrVfYwwmsnWBU1Lvo+YoMReueV9zV1t8Jzx2Itapv0IwlrEZHel7k7LiEQK2FTdw2nh/XjG9w1ODEx1hBGB0WiyfbCulxeEiSn9MoVAoFIpwMjiSyRUKxRFDndXBD59bz8q91SHZX9PB9VhEG3Fj5/V7X1mJkd164XyyrQyLycAlJwyuXjH9JS3Ogskg/FtjCwEn/EiL5uTOYdyme3g94l7GRXQ8b55eNduL/UdwGmxtVDQG118ItB44nn0DjE6PRUpUFEehUCgUA4YSOAqFold8tauCFXuquOnljWwtqu/3/qLK1gNg7IeDmofMhEjKvCIaLrfk0+1lnDounVhLX0sOBydGgyAjPpLS+h7ER2IOXP0ub2T+lsmGAuKenw/rngS3G9B69WwraUD6cV77w/vbWPTIKuzOwPbbHtpT1Cx6BEd3UlMCR6FQKBQDhRI4CoWiV3yTV0F6nIXkmAiue2EDB/p54ZrduIXyiFyI6X/6WGZCFGVeEZz1B2uparJz/rTMfu97MJKdGOU7Ra0rQvCyfR53Zj0Dw0+Gz38LL5wHNfuZmp1AVZOdikZ7t81cbsnKvdWUN7by4ebSoObkMRnw1OAMT43GIJRVtEKhUCgGDiVwFApFJz7eWkpRrc3nMrvTxcq91SycmMHLN8xGAD98bj2VvUhh8qa5xc5k125qUmb0Y8YdZCVG0mx30tjaBsDH20qJMhs5bXzo+9AMBjITI/2nqHnhckv2VTaTnj0CfvAWXPg4VOyEx0/i9IZ3Ebi72UcD7C5rpLHVidkoeOrbA7jdPffXseo20VFmLYJjMRkZlhKjBI5CoVAoBgwlcBQKRTvVzXZ++vpm/vl5ns/lGw7WYXW4OG1cOiNSY3j+upnU6jU5HlHRG4rzNhAvbLhz5vR36kCHdXJpfQtOl5svdpRz+oT0Xve8OVLISoyivKEVVw/Co7DWht3pZmxGnFabM/0HcNtaGDGPnPV/5e2Ieyjet63bdmsP1ADw6zPHsa+ymSV5PluedcJmdxIdoVlEexiVpqyiFQqFQjFwKIGjUCjaWXegFtDqbOptjm7Ll+RVEmEycOLoFACmDk3kyWtOYH9VM3d9tLPX49n2fgtA0oQFfZ+0F1mJWi+XsvpWVu+vodbq4PypWSHZ92AkKzGKNpekurl7epk3+eVNAJrA8RCfBT94Ey56knHGEq7echWsfgTcHbU2a/bXMCI1hutPHkF2YhRPrTjQ45ysDle7wYCH0emxHKqx4nS5e3F0CoVCoVD0DSVwFApFO+sO1mAyCBwuNx9t7V5zsSSvgrkjUzpFRE4Zk8b8sWnsLmvq9XiRZesplSlkDRvbr3l7yPRq9vnJtlJiLSYWjEsLyb4HI9m6oOupDmdvhfbcjPGyiAa0aM60K3hozMusllPhyzvhubOhei8ut2T9wVrmjEzBbDRww8kjWH+olu8K6wKOZbU7ieliBz0qLYY2l6TQT+qjQqFQKBShRAkchULRztoDNcwdlcLEzHje3ljcadmBqmYO1dg4fUL3epa0OAtVTYGjCN2QkqyGLeyxTO6UztQf0uMsGAQU1tj4Ykc5Z0zMINJ89PZe8Qi6rs1Nu5Jf0UROcpTfVL0RI0Zxbev/UXv2Y1CzFx4/icov/oXV7mDOyGQAvj8zh4QoM08tDxzFsTmc3cbxOKmpNDWFQqFQDARK4CgUCgBqmu3sqWhmzsgULpsxlO0lDeSVN7Yv99RfnDrOh8CJtVBrtfdYC9KJ2gMkumupCpHBAIDJaCAjPpL3N5fQ2Ork/KlHp3uah6zEjpqjQOypaGKcd3paF6YMTQQE62NPg1vXwZgzyFz/D96NuIuTE7Q6nBiLiWvmDGPxrnIOVlv97stqd7VbRHvwCJw9Fb2P8ikUCoVC0VuUwFEoFIBmqQwwZ2Qyi6ZnYzaKTlGcpfmVjEmPJSc5utu2aXEW3BJqrd3rdvzRsvtLANw5c/s5885kJkRS2WQnPtLEKWOO3vQ0gPhIE7EWU8AUNYfTzYEqa+f6my6MHxKHySDYVtwAcRnw/Vd4IvVORhorSHllIax8CFxOfnTicMxGA09/6z+KY3M4u9XgxEWaGZsRyzr9NaZQKBQKRThRAkehUACw7mAtUWYjU7ITSY6J4PTxGXywuYQ2l5um1jbWH6z1a7ecFmcBCC5Nra0FFt9J5Nd/YLc7h/QRU0J5GGTqUY2zJw8hwnR0f8QJIbTmpgGsog/VWHG6ZUCBE2k2Mm5IHNtLGgBwuiWPVE3j0Qmvwtgz4eu74NkzSGs5wCXHD+WdTcXU+DE2sDpc7T1wvJk7MoWNh+pwOJXRgEKhUCjCy9H97a9QHKXYnS4ufXw1y/dUhWyfaw/UcMKwpHZRcNmModRYHSzNq2Tl3mraXNKvwEmN1QVOD25eFG+EJ+fBmkfYm3MplzjuZsyQ+JAdA0BWglZ4fzS7p3mTlRhFaYAaHJ8Oaj6Ykp3AtuIGpJTsLG2k2e5kyrgxcPnLcOnzUF8AT87jVtOHuJxtbNPFUFesuk10V+aOSqWlzcVWH/12FAqFore0trn45+d5FNYMvHnJ3oomTvrnkh5NVxSHDyVwFIojkE2H6thYUMfy/NAInDqrg7zypvaCcoD5Y9NIi7Pw9qZiluRVEh9p4oRhST637zGC47S3RwFw2OCa93k6/qeYImPJ1iMuoeL0CRmcM3kIJ45KCel+ByuawPEfwdlb0YTRIBiZFhNwP1OGJtDQ0kZRbQtr9P43c0amaE5rky+G29bD+PPI+e4+3o/4M7Lcty241d49RU3bVzJCwOp9Nb04OoXiyOFvn+zqk12+om88tmw/Tyzfzz8+3z3gY7+ytoCS+hbueG/7gNvf55c38Zu3t9Jg633vuWMJJXAUiiOQb/dVA3CwOjSuVOsPabURs0d2iAKT0cDFx2WzNK+Sr3ZXMG9sGiaj74+M9giOL4FTuhmenK/VcUy/Cm5djRx5Ksv3VHHKmDSECI2Dmoc5I1N4/OoT/M71aCMrIZIaq4PWNpfP5fkVTQxLie7RTW5qdiIA20rqWXughtHpse3CFYCYVLjsBZoueJYsUcP8ZZfC8vvA1fElK6XE5uhuMgCQGB3BxMx41hyo7v1BKhRHACv3VfP2xiLaVL+nsFNQY+WJ5fuJizTxxc7yAXVobG1z8cGWUnKSo8grb+KlNQUDNrbT5eZXb2/h7U3F/P2zgRd2RxLHxhWAQnGU8e1eLXITyM2qN6w9UEOk2cDUoQmdHr/0hKE43ZJ6W5vf9DTQHLZiIoydG046HbD07/D06dBaD1e9A4segcgEdpc1UdlkZ/5R3KNmoPA4qZU1+E5T21vRHNBBzcPYIbFEGA1sLqxnw8Fa5o70HQGLmnYxZ9j/zb6U02Dp3+Dp06B8BwAOlxunW/q1oz5xVArfFdT7FWMKxZFMdbMdq8PFlqL6AR/7y53l7PCTNno0cs/HuzAbBG/eNBeLycATy/cP2Nhf766goaWNey+cwryxaTz41R4qGwNb9YeKl9cWsKOkkeNzE3lzYxGr9w3sDaPV+6q5b3EezXbngI7bF5TAUSiOMGqtDnaWNhITYaSoriUkdwvXHajl+NwkLKbOd97HZMQxLScRIWCBD3tob1K9e+GUb4dnToPl/4Kpl8Ota2DMGe3rLtujWU7PH6sETn8JZBXd2ubiUI2VMUEIHIvJyPjMON7fXILV4dLS03xgMhpwRibzeu5dWn1OUxk8tQCW/QurTfuS79ro08OJo1JxuNxsKlB564qjC5dbtrtIrtw7sBedTa1t3P76Zn7+xmbcvbHqP0L5ZncF3+RV8vOFY5iYFc8VM3P5YHNJjw2PQ8XbG4vJSojkpNGp3HPBJBwuN3/7NPzRlPKGVh74cg/zxqbx6o1zGJYSzR/e306LY+BuGH26vYwXVxcQeQQY+Az+GSoUik6s2leNlHDR8dm43JKifnaHb7C1sbu80e8F7Z/Om8Bfzp9IckxEwP2kxVqobbRqaUtPnQpNFXDFa3DRExDVuXZnWX4VEzLjyYiP7NfcFbTXMPn6ct9X2YxbElQEBzSjAc9F2myveqyuJEabaWhpg4kXaLU5ky6EZX8n9qUzmSgOEe2jBgdg5ohkjAbBmv2qDkdxdFFrdeDRFqsG+K764p0VOJxu9ldZ+WJn+YCOPdC0trm4++NdjE6P5bqTRgDw43kjAXh6ReAmxKGgrKGFFXuruOSEoRgNguGpMdw8fxQfbS0NKppS3dzLfnFe3PPJTtpcbv66aBJREUb+cfEUCmps/OfrPX3aX19Yc6CGmcOTjogU8ME/Q4VC0YmVe6uJizSxaHo20P80tfWHapESZo/wfUE7Y3gy1+pfJIGYGlHKnyp+rqUtTbwAblsH48/rtl5jaxubCupYoNLTQkJGglYnU+bDSW1vpeagNm5IbFD78qQojs2Iba+r8kViVAT1Nr3nUXQyXPIMXPEaBlslH0b8ien7HtNSFLsQazExdWgCq/erOhzF0YUnPXdEagybi+ppah24AvAPt5SQkxzFyNQY/rdkH1IevVGcJ5cfoLDWxt0XTMKsX2RnJ0Zx4XHZvLGh0K99vTdOl7vP5+i970qQUkvf9nDrglHkJEfxpw93BLTBf3NDIXP+/g2PLt3X63GX5lXy2fZyfnraaIalaIYxJ45K5YqZOTz97QG2F4c/PbGisZUDVVbmHiEGPkrgKBRHEFJKVu6r5sRRKYxO0y5a+ytw1h6owWIyMC0nsW87cLtg5UPcUXwzae4KuOxFuPQ57cLXB6v2VuNySxao9LSQYDEZSYuz+ExRyy9vxmwU7V+IPTE5WxM4/upvPCRGm6lv6XIBN/48dl70JR+55zI27zF4+lQo3dJt2xNHpbCtuOGIyOFWKIKlplkT9IumZ+Fyy/bGyeGmqsnOqn3VXDg9m1sWjGJ3WSNL8ysHZGyANpebK55aw9sbi8I+VlGtjceW7eO8KZmcNDq107Kb54/C7nTz/KpDfue5JK+Cn72+mSl3fck/Ps/r9fhSSt7aWMTsEcmdPlMjzUbuuWAy+6us3PXxThq7iFu3W/LvL/L43bvbkWiCtDe0OFz8+aMdjEqLaY9WefjDuRNIjbXwu3e3hd3cYq3urjl3ZGoPaw4OlMBRKI4gDlZbKalv4eQxaSTFRJAYbe63wFl3sIbjchN7dNnySfVeeO4s+PouDiWfzBmt/8Y+7nsBN1mWX0WcxcTxfiynFb0nKzGKUh/NPvdUNDEqLbb9TmdPjB8Sz9Vzcrlydm7A9RKizD4tShuJ5Vdtt7Ln9KfBWq0ZECz5m2YTrjN3ZCpOt2TDoYG5AFQoBgJPBOesSUOwmAysHKA0tU+3leKWmrC68LhsshOjBjSK883uStYeqOUvH+2kuC68/Wje0h3q7jxvQrdlo9NjOXvSEF5cc6g9etbY2sbXuyr40wc7mP33b7j+hY2s2FtFckwEH28t7fU5Wn+wloIaG5fPyOm27NTx6fxw7jBeW1fIvH8v5Ynl+2lxuGhtc/GzNzbz2LL9/GB2Ln84Zzz7q6y9cn17bNk+impb+NuFU7rVySZEmbln0WR2lTXy5x4iSP1lzf4a4iNNTMwKbe+6cBHUt54Q4jkhRKUQYofXY8lCiK+EEHv13z6vVoQQP9LX2SuE+FGoJq5QHIt4vjRP0e9eDU+J4VBN3wVOQ0sbO0v919/4xe2C1Y/AEydrIueSZ9kw67/UkNB+J9MXUkqW76ni5DGpQV90K3omKyHSZwRnT0VTjw0+vTEaBH+7cArje2i+mhQd0T2CA1jtWrFr26iz4La1MPX7sOI+zYSg5DsArZms0dCtDsfudPHhlpKwfkErFOHCI3CyEqOYNSJ5wOpwPthSysTMeEanx2E2Grh5/kg2F9YPWJ3b6+sLSY21IIA73t8RVmHV2NJGXKS53VilK7cuGE1Tq5NbX/2ORY+sZPrdX3LjSxt5a2MRc0el8PQPZ7D+joX87PTRlDW0kl/R1Kvx395UTKzFxDlThvhcfs+iyXzy05OZnpPIPz/P45R/L+WSx1fzybYy7jh3PPdeOJlzp2QCsLgXtVLL91Qxe0Sy39SwsycP4SfzR/L6+iIuf3JN2MwW1hyoYdaIFIyG0LZ2CBfBXmG8AJzd5bHfA99IKccA3+j/d0IIkQz8BZgNzAL+4k8IKRSKnvl2bzVDk6IYlhINwMjUGA5W9V3gbGyvv+mFwKnZDy+cB1/eCSNP1WptplxKWpxmGOC32SdaT5byxlZVfxNitGafrZ0uLqx2J8V1LYzNCK7+pjckRpuptzm6OTbZHFraWUyESTOWuOhx+MFb0FIHzyyEb+4hyuDkuNzEThdgbS43t7+2mZ+/sYU3NxSGfL4KRbiparYTYTQQH2ni5NGp7KloDrt1cEGNlS1F9SyantX+2GUzckiLs/BIH+o8ektRrY0Ve6u4anYuvz17PCv2VPHed71Lv+oNNoeLqACZBlOGJrBwQjpr9tcQYTJw+6mjef3Hc9j6lzN59AfHc8bEDCJMhnZH0KV5wTfKbrY7+XRbGedPzfRrgw9amu8L183inZvnMjo9hv1VzTx21fHcNG8UQgiyEqOYNjSBL3shcKx2JymxgU1+/nDOBB676nj2VTZz3sPfhjxNsbS+hYIa2xFTfwNBChwp5Qqgaz7BIuBF/e8XgQt9bHoW8JWUslZKWQd8RXehpFAogsDpcrN2fw2njEltb445IjWG0obWPttE5pVrd7C69r/xidsN656Ex0+Cil1w4RNw5esQp93N8jSFrA5Q5LksX/tCmT82sOW0ondkJUbR0uai3ittLK+8EaBXEZxgSYgy45bQ1KWOxqq/DmO8XdTGngW3roXpV8K3D8CT87gwvZwdpQ002NpwuSW/fGsrX+2qIDrCyFe7B65+QKEIFdVNDlJjIxBCtNeHrAqzmcZHW0oB+N60DoETaTZy0ykjWb2/Jux27G9uKEIAl8/M4Zo5w5gxLIm/fror4E2u/tDS5iLajwW9hyeuPoEdd5/F2zefyC/PHMfcUSnd0q8z4iOZmBnfKxHw2bYyWtpcXOYjPc0XM4Yn88ZNc9n6lzPbozYezpw0hK3FDT6j7r5ocbgCiioP507J5OOfnsyQ+Eiue34DD3yZH7KImueGVE/1mYOJ/uSIZEgpy/S/y4EMH+tkA96VZ8X6YwqFopdsLa6nye7k5NEd0Y/hqVqhY0Ft36I4BTVW0uIsnS9IfVF3CF66AD7/LQw/WUs/mn4liI5QtUfgBPpyW5ZfyfghcQxJUPbQoSRLP5+eOpzWNhd3fbQrbLVOidHa3cSudTg2XfDEWLpchEQlwqJH4ap3wd7EFduu57fG11m3t5Q/vLeNj7eW8vtzxnPV7FzW7K8eUAcqxdFPndUR9pqU6mY7qfpn4MTMeJKizazcG740MSklH2wpYdaI5G4pWz+YnUtStLlPbl3B0uZy89bGIhaMSyc7MQqDQfDPS6Zis7u46+OdYRmztc3VY62oyWgIqp701PFpbCqo0+zug+DbfdVkJkRyfG5iUOt76FozA1pKGRB0FMfq6FnYeRiRGsMHt53EZScM5X9L9nHnBztC0htpzYEakqLNjB8S+htm4SIkSfBS++To1xkUQtwkhNgohNhYVRV82FChOFb4dm81QmguVB5G6AKnr2lqBTU2hiVH+19BStj4nBa1Kd0CF/wPrnob4rO6reoJofsTOE2tbWw8VMd8lZ4WcjqafWppan/6YAfbSxp46PvTA9o995XEKDMA9S2d662sdidCQKSPL3UAxiyEW9fgnnYVt5g+Zsz757B301J+dvoYbp4/ioUTMmhzSb4d4EaJiqOX3WWNnPC3r7jj/e1hdZmqbra3v9cMBsGJo1P1nmXhEVa7yhrZX2XtlJ7mIcZi4sZTRrIkrzJs7mbf7K6kssnOD2Z1GJKMTo/lZ6eP5tNtZXy4pYSiWhv7q5rZXdbIlqJ6luZV8s6mYp5cvp9/fLab5Xt6d61n68WFfk+cOi4dl1sG3ZS1ubVNqzUS/a8/GZUWy+j0WBbvrAhq/WAjOB4izUb+felUblkwitfWFfLbd7f1ufeOhzX7a5g9IgXDEVJ/AxD8GetOhRAiU0pZJoTIBHzF+kqABV7/DwWW+dqZlPIp4CmAGTNmHL0m7gpFH1m5t5op2QkkeTXc9ERwDvTRSa2w1uY/5NxQDB/eDgeWwsgFcMEjkOg/PG8xGUmIMlPlJ0Vt1b4anG7JApWeFnI6BE4Lr60v5O1NxfzstNEsnOgrsN5/EqN1gdMlgmN1uIg2GwN/CUYmYLzwEf5dPIGrqh7gXcvdCFkDbXdwwrAkEqPNfL2roltah0LRF9YfrMUt4fX1RZTUt/LYVccT21PEug9UN9uZ5OUudfLoVD7dVsb+qmZGp4f+rvdHW0oxGwXnTvb9Prlp3khW76/mzvd3MCI1hhnD/Tfu7Quvry9kSHxkt3rKn8wfxSfbyvj5G1t63MdnO8pY8ZtTgxYNLW2u/j939ibYv5TpGVNJiDKzNL+S86b2/FkTSnEFcNakDJ5YfoBaqyNgE+02lxuHy93rsYUQ/PascUSajDz09R5a21w89P3pfTL3Kaq1UVLfwk1dLKoHO/15pXwE/Aj4p/77Qx/rLAb+7mUscCbwh36MqVAckzS1trG5qJ6fdPmAibWYSI+zcKgPAqe1zUV5Yyu5KV0iOFLC5ldg8R2aW9p5D8KM6zulo/kjLc7iN4KzfE8lsRYTM4Yrn5FQkxITQYTRwOKd5Ww4VMuCcWn8fOHYsI3XLnC6pHfYHM6e0x11zlp0Fd8ems/3655GrH4Y8j/HdOFjnDY+nSV5lThd7iOiW7ZicLOtuIG0OAu/OmMsd36wg8ueWMNz184gM8G3E1dfcLslNc2OTtHSk/U6nJV7q0MucNxuyUdbS5k/Nq3TDS9vzEYDj/7geC58dBU3v7KJD247iaFJAaL1vcBjLvDT08Z0e4+ajQZeumEWX++qxGQUWEwGIowGLGYDidERpMZYSI6N4MMtJdz5/g72VjYHXSfY4nCR1peItL0J8r+AXR/A3q/AZcc05izmjf0Dy/Ircbtlj5EJm8NFag+F/r3hrElDeHTpfr7eXeHTdtp7XKBP4koIwc8XjiHSbOAfn+fhcLp5+Mrjet0Sor3+5ggyGIDgbaJfB9YA44QQxUKIG9CEzRlCiL3AQv1/hBAzhBDPAEgpa4G/Ahv0n3v0xxQKRS9Ys78Gl1ty8pjuDbZGpMb0qRdOcZ0NKWl3ZAOgsQxeuxw+uh2GTIVbVsHMG4ISNwBpsRa/JgMr9lRz0ugUZQ8dBgwGQWZiJKv315CZEMV/vj89rFaenhqcelvXFDVX0AJnWk4iV5wyGXHBf+GaD7ReOc+eySVDqqm3tbExzAXSimOD7SX1TM1O4IpZuTx37UyKam1c9Ohq8st7ZxEciIaWNpxu2Ung5CRHk5sczcp9oa/D2VJcT1lDaydzAV8kRkfwzI9mYm9z8+OXNmHtYgpid7qwO3tvUOMxF/j+TN8X5ulxkfxgdi6Xz8hh0fRszpmSyWnjMzg+N4nclGhiLSZOH69Fl7/phalIS5uLqGAv9FsbYdtb8PoP4N+j4L0boXgjnHAtjD8fDixj4agYqpsd7Cht6HF3VoeT6BBG/qZkJ5CVENljHY7HmbI3KWpd+cn8Udx9wSS+3FXBwgeX89n2sl6lTq45UENqbARj0kPvyBlOgnVRu1JKmSmlNEsph0opn5VS1kgpT5dSjpFSLvQIFynlRinljV7bPielHK3/PB+uA1EojlbaXG7+8/Ve0uIsnOCjYHxEat964RTUaE3ZcpNjtKjN1jfhsdlw8Fs4+1/wo48heUSv9pnqJ4JTb3NQUt/ic/6K0DA0KYpIs4Enrj6hXYCEi4QoPylqdmff0jhGnQrXfgJITjAfJMJo4OtdweWnKxT+sNqd7KtsZoruEjl/bBpv/WQurU4XD321J2TjeG7qdLXyPXlMKmsP1ARdyB4sHvvpYCIfo9NjefgHx5Ff3sgv39rCij1VPPBlPpc/uYYpd33JokdW9epit6u5QF8ZkhDJ5Ox4vtkd/Pu8xzSx1kbte+z1K+G+0fDej6H0O5hxHVz3BfxyN5z7b5h1E7jsnGreiRDB2UW3OFzEhDBFTQjBmZOGsGJvdTfh6Y2t3Zmyf2P/6MThvPbj2cRaTNz66nd8/6m17CjpWdhJKbX6m5EpIak/GkjUrVSFYpDz5PL97Cpr5K+LJvt0ZBmRqt2F6u2XaGGtJnCGRzbDG1fB+zdB2ngtajPnZjD0/uMhLda3wPHcLQ2HZbFC48/nT+L1H88ZkC7TZqOBWIvJRw2OU+uB0xcScsBgJrK5mLmjUvhqd8WAdWNXHJ3sLG3ELTvb4E/MimdMeiyNIXTqq9abG3dNnzpn8hCa7U5m//1rfvXWVjYcqg3Ja9rTUDfY99qp49K549wJLN5ZwQ+fW8+jS/fR2uZi9ohk8sqb2FPRHPTYK/ZUUdlk50ovc4G+cvr4DL4rrKPW6r85tDetDh8uaq0NsPUNeO0KuG+U9j1WukVLq75+MfzfLjjnXzBsbsd32rATwZJAfMHXTB2aGJRdtHbzJrS1W2dNGoLD6Q5otmDTn+tA/X+C5cRRqXz6s1O496LJ7Kts5nuPrOTpFQcCbnOw2kp5Y+sRZQ/tIfSVdgqFImTsrWji4W/2cd7UzHZrya54jAYOVVuZlpMY9L4LamxcErGO5BduB4cVzvwbzLkVDH3/IE2Ls2B1uLA5On8Z7NE7Ro8fEv6L72OVcQNs35kQZe7momZzuEgJUDAbEINBM7GoL+SMiRn88YMdYSvQVhwbbCuuB7Tmi95Emo00tfq/a95bPBEcj020h1PGpPHR7SfxxoYiPtpSyrvfFTMyLYa/XzSFOf24YPSkLQWdrgXccPIIhiREEh9p5vhhScRaTFQ2tTL779/wxY7yoD8/DumR/5khqKU8fUI6//1mL8vyK7n4+KEB15VSYvP0wWmph/zPtZqa/UvA5YD4bJh5I0y8EIbODHyDzmiGMWfAni847bjb+c+SA9Q020kJUN8TapMB0M5hUrSZL3aU+zVVaW+eHKL0OKNBcNXsYZw/NYurn1nH+5tL+HEA84A1B47M+htQERyFYtDickt+8842YixG7r5gkt/1RnoETm/S1KzVnJf3ex4w/BeRPAJuXgkn/rRf4ga8mn02db7wzStvIj7SREZ86C2LFYeHxGhztz44Vns/89QTcqChiNMnaE57X6o0NUU/2F7SQGZCJOlxnftuRUcYaW3rW3NkX7QLHB8XyFOHJvL3i6aw/s7Tue/SqZTWt/DR1tJ+jWftQ9qSEILzp2Yxb2xauxNZelwkM4Yl8UWQ/Vigo9dVKKIZk7MSSI+zBFWH02atZxHLuTT/11r62Qc3Q/l2TdTc8BX8Ygec/Q/InR1c9sG4c8BWzXnJJUgJK/b6j6I4nG6cbhkykeHBZDQwf2waaw/4r9PypKj1RswGQ0KUmZFpMVgdgYX+mv01pMdZ2q8zjiSUwFEoDjMVja388Ln1PL/qIM1eubjPrzrIlqJ67rpgUsBeJrkp0QgBB4LthbPrI3h0NtNsq3k/+Ua4/ktIC43jlsdlpqq5tdPjeyqaGDck7ojL4VX4JzHa3M1FzWrvZ556Yi7UF5KZEMWU7ARVh6PoF9uLG5jSJXoDWrpPS4gFjtEg2vtD+SI6wsRlM3JIjbXQ4ujf2DaHK3C/qV5w1qQh7C5rpCDIG2S2NhcmgyDC1P/LR4NBcPqEdJbvqcLh9NGjqKUetrwGr16O+cExPBjxBGnWvVoNjbeoyZnV+5Tq0QvBYGJUzbekxkYErMPpKPQPrcgA7aZgoGhiew1OiNPjQHtNetId/bG5sJ5ZI5KPyO9uJXAUisPMqn3VrNhTxd0f72LuP77hH5/tZs3+Gu7/Mp+FEzK4oAenHIvJSHZiVM9OarZaePdGeOsaZEI2Fzn/we7RN4IxdB+cngiOdx2OlJL88qYBT6FShJfE6AjqurqoOfqZp544DJoroK2FMyZmsLmo3q/tuOLIQUrJnoqmfjcb7A2NrW0cqLZ2qr/xEBVh7LfI8Ka6yUFKTERQTRCjI4ztF8x9xWZ39txvKkjOmqSlPi8OMorT4uiFk1kQnDY+g2a7kw2HdIPdljrY/Cq8epkeqbkFKndhm34DF9nv5qNTF8PZf++bqPEmKhGGnYTY+wXzx2oiy+3n9Wnth1VzT8RYTLS0ufy+N6xhFFexFmNAgwPQDIK6RkCPFJTAUSgOM0W1LQC8cdMc5o1N45mVB7ny6bWYjQbuvWhyUHdOenRSy/8CHpsDO9+HBXdQdukn7HRmk5scmr4IHnwJnPLGVhpbnYxTBgNHFYlRnVPUpJTYHK7+uf0k6oXLDcUsnJCBlLA0L3gbWcXgwu2WfLGjjEWPruLMh1bw6NJ9Aza2xyFqytDEbssizSEWOM32gFF2b6IjTO135fuK1eEKmWVxTnI0k7Pj+WJHcALH1h8jER+cPDqVNJON6m+fhVcuhfvGwIe3QmUezP4J3PgN/GI7FXP/xGY5hmiL/yhZrxl3DlTlMSu+joaWNpr9CM9QpuV1xZMu6C9VrOUwiiu3W2J1uIjtp4Pb4UKZDCgUh5miOhsZ8RbmjExhzsgUiutsvLG+iBnDk8iID+7OyYjUGN7/rgQpZWdB1FIPX/wBtr4GGZPhqncgcyoFeuOuYV2bfPaTlBgLBtFZ4CgHtaMTT4qa5zVnd7px9TdPPVHvq1FfwIRRo8lOjNIa4fnpt6EYnDhdbt7fXMITy/ezv8rK8JRopmQn8My3B7j2pOHER4bwItUP24t1geMjRS06IvQpal0NBvyhRXD6m6LmDKll8dmThnD/l3sob2hlSELg7xxrqIrtbbWQ9ylRuz5gjWkppgIXMiEHMedmmHgRZB/fqf+a5/nqbZPKgIw9G774PaPrVwLHYbU7fb42Q2XV7AvP56W/sa0h6IPjd2x9nzaHkzhfx93mOW6T1kqirQXsjWBvhtTRIZ9PqFECR6E4zBTV2sjx6jA9NCmaX581rlf7GJEaQ5PdSXWzoz2Kwt6v4aOfaik/834D834LJq1GprBWi/YMSw5t4aDRIEiOiaCquSN1yeOgplLUji4SoyJwuSXNdu3LMSS54p4ITn0RQghOHp3KFzvLg+o0rhg8vLD6EH/7dDcTMuP535XHce6UTHaXNXL+/1bywqpD/Oz0Md22Wb2/mp+9voW3b57LiBAUNG8raWBoUhTJPlz9osxGnG5Jm8sdksbD1c0ORgXZBDE6wkidrX8W1Va7K6QXvGdP1gTOl7vK+eHc4QHX7VeKmq0W8j6BnR/AweXgdkJiLvkjruEPeaN48AfXMjrDt9NmSziK7ZNHQPpEcquX4xE4vvCIjChzGESGl8DxRYun3srcj9dpWyvYm3Rx0qj93drI5OpD/NC4B1ZsA9HS/ri2bhMWWz3fRlSRvtIBy63a8+XhTzUhTW8PB4N7dgrFMUBRrY3Z/fSYH+HlpJZmtsOXf4TvXtT62lzxqnY3zIuCGhsmgyArMfS5taldeuHklTeREW8Je/NJxcCSEN3R7DMu0tz+Bd2vu7txmWAwQX0hALNHJvPmxiLyypsGpL+PIjSsP1jLiNQYPvvZye0R5cnZCSyckM6zKw9y3UnDO90xbrY7+c3b26hutrMsv5IRqb1rMOyL7cUNPutvoCMKYHO4SIjqn8CRUlLVbO/WA8cfUREmWvpbg+PoY0NdP4xOj2NUWgxf7OhZ4PQ6Rc1WC7s/1iydD67QRc0wmHubZumcdRzJja1s+8cSvs6r8i9w2sKUqjXuHFJW/ocEmv0W+3t60YQjguNJ/2r2VezvasNtrWGsuRpRvr1DnNibtP4/7aKlqYs4aez8uMt3n6G5wFwzsBowWiAyHixx+k88jrgc1lckc9zQXEYOzQRLfPsyGPw9ypTAUSj6weVPruHsSUO4/uS+fSE7nG7KGlvJ6WctjEfgWHd/A+/fDY0lcNIvYMEfwNxdxBTU2shOisIUgruXXUmLs1DV3CFw9lQ0qfS0oxCPY1RDSxs5dNzl7FeKmsEICUO9BI4m/NcdrFEC5wgiv6KJyVkJ3eoHf3b6GC54ZBUvrSngtlM7Ulz+9XkepQ0txFlMbDhUy3Un9U/g1NscFNba/Daj9EQBWttcJARwPguGJrsTh9NNSmxwN3Cizf1PUbM6+j/vrpw9eQhPLD9ArdXhM+rlweZwkdTTzSprDeR9rEdqVoB0QdJwmHs7TLoQMqd3Sj/LTIhiUlY83+yu4Ob5o3zusj2CE8oUNYBx52L49gEWGLZgtZ/ucxVbu7gK8rPN5QRH52hIh+Bo7PT4lOoqnjQXMvyTh8HQ2nldZyu/AX5jAJ70M5bB1CE8IuO1v+OzwTLe6zFdlFi8BExkPKuLHdz27j5euuU0pgzL6Lbr/cX1/Gr3Kp6eOYORE7svH+wogaNQ9JHS+hbWH6zF7nT3WeCU1rcgJeQkRfVrLtnRLu41P8eCdV9DyhjN+jlnpt/1C2tsITcY8JAWZ2m3rHa5JXsrmvnh3GFhGUtx+PBE5DxOau3d1ftb/JyQ0y5wshOjGJoUxboD/b/oVQwMVrtTayLso3Hj1KGJnDoujae/PcCPThxOrMXE6v3VvLy2gBtOHkGt1cG3e6u71xL2ku26wYC/CI4nChAKo4EaPR03aJMBS/8FTovDSVYPtTK95exJmTy6dL9W8zbDf82bzeEiO9GHyLBWe0VqvtVFzQg46WdapCZzWidR05XTx6fzyNJ91NscPqP9nghOqPvBkHU8bVFpnOH6juZWh1dkpEOgpBw8wBXGfNJ35AMtXqKl+7rYG6HN1vO4wgCWeBJMseQKgXSlQ3w6pIzqFCl5Z2cje+rhjotme4mThI6/TZEBz2vAKdhqqKOSJqfvc+ppWxEb4v4/A8WROWuFYhCwqaAO0Nx6mlrbfBbp9URRnfZB2K8IzqGVmD64lSuNhXyVcBln3Pw/MAcWTIW1Nqbl+O6c3F/SYrUIjpSSghordqdbRXCOQpK8UtTAq+N2fy9AEofB/m/a/509IoWl+ZV9vuh1uyXPrjzIxcdnB+xUrggNnpq78X5q7n52+hguemw1L605xLUnDud3725jeEo0vz5zHO9vLuH9zSUcqrH1qw5nm24wMDnLt8DxRAFCYTQQqMmnLzw20f0RcaGuwQGYnB1PdmIUi3eUBxQ4nWpwfIma5JFw0s+1SM2QqUFffE/IjMctoayh1bfACVcEx2CgdcRCzt/1Orw7wecqJwEnmYEVAKJTGpcmOBK1+sGukZJOKV8JnaInmKNBCEqrrZxz/zIePHEaF/u4KfDFoY2UtLXAhFNCe9x4Obj56YXT3KoEjkIRNp5fdZC3NhYzY1gSc0amMHtkctBfJOHGI3BcbsnGQ3WcOj691/sorO2HwHHY4Jt7YN3jkDSC+zIfZIltNGf0IG4abG00tLSF3GDAQ1qcBYfTTWOrUxkMHMW01+DozT6tobJSTcyFpjJw2sFkYfaIZN79rpi9lc19Esp55U3c+9luyhpa+fP3JvZvbooeySv3CBzfKYXH5SYxb2waT684QEG1jeK6Ft68aS5REUZmjUgCYINew9NXthc3MDwluv012hXvGpz+Ut3UW4Fjwi3B7nT32RHM5nCGvB5ECMFZk4bwytoCmu1Ovxe1EfYa5jeuhhf/DIdW6qJmFJz8Cy1SM2RKnyIKPRXb28Jol+yY83Oe3NbInHFDmTYqt7MQscTz2pZaHl5VyYo/XUBEVHz/+u90oefjDm29VeexjQHH7kg7VjbRCkVIcbkljy/bj1tK3v2umJfXFgDancGHvj+dCZmHNyd/c2Ed04YmsLusibUHavokcIpqWzAbBUOCtINup3Cd1gCtdr/W1XnhXbQuPkTxhqIe7wwW6A5q/a378Yd3L5y88iaEgDHpSuAcbXhqABq6paj1N4LT0QuHlFHMHpkMwLoDNX0SOJ6bCO9sKuI3Z40LfYqLohN5ZY3ERBgZGiDt9uenj+GSx1fz5sYirj1xOLNGaM/xqLRYkmMiWH+otl/W4NtLGjh+WJLf5R4R3hrKCE5ccDU47dEjh6vPAkezag795dup49N4btVBNhfWccqYtI4FzVWw+yPY9QFfu7/FWCw7RM2ki7QWBP3sdO+50G/25yYWDptoneghY/mH8yp+mzOOaSd2tz8u2plHrVESEZMY8rFj24/b92vR5nARFxmeS/WYHnrweOakIjgKRYhZvb+ayiY7j111PGdMzGBHSQNrD9TywuqD3PjiRj68/aTDFs1pcbjYWdrIj+eNxGIysvZATZ/2U1RnIzsxCmOwFrhtrbD0b7D6Ea1nyI8+hhHzAK1ewepw0dji9HvnEjQHNQh9DxwPHjehqiY7eyqaGJYcrS4qj0IsJiPREcbuKWr9/TL06oVDyihyk6MZEh/J2oO1XNODw5MvinSB09jq5OOtpaqnTpjJK29i7JC4gLbeJwxLYuGEdA5UW/nt2R2W+EIIZgxL6uhq3weqm+2U1Ldw7YnD/a7jLTL6S1WzAyEgOUiXyPa75g4nSQGK+f3R5nLjcLpD2gfHg+f7tLHFCc2VmqjZ+QEUrALpRqaM5jHXIpJmXMbVi87rt6jxpqd0qRaHC4MAiyn0xjiRZgMGESCKYneG7Tusx7EdTjLiw3Od01P0yPN4vz/TDxOhf6UoFCHi/e9KiIs0cdr4dMxGA8flJnHLglE888OZVDfbueWVTTic7sMyt23F9TjdkhNyk5gzMpnteh1ObymutQUfSSneBE+eAqv/BydcC7esbhc3AFmJ2h3TkvqWgLvx3NEOl8mAp+FdVbOd/HLloHY0kxhl7khRC0UfHOjUCwe0i97ZI5NZf7AWKXtvTVpUZyMu0sTYjFheWVfQv7kpAiKlJK+8yW96mjdPXH0Cn//8lG6RiFkjkimosVHZ2NqnOXgMBqb4MRgAiIrQLn1CVYOTHB0RtCNllH68fRVXtnD0g9GJd9ZytfErZi6/Bh4YB5/+CprK4ZRfwc2raL5xDQ84L6cleWJIxQ30nC7V0uYiymzsl/mEP4QQxFpMfsWV1eEKi6D0jB1jMfmNXNkcrv5/pvoh2hzAohrtuRAiPGmBA4ESOIpBic3h5Iud5Zw/NbNbSHrK0ATuv2waGw7V8ecPd/Tpoqe/fFdYD8Dxw5KYMyoFt4SNh+p6vZ/CWhtDk3oQGk67Vmvz7EJwWOHq9+B7/9FyhL3wCJzSHgROQY2V1FhL2O7KeCI4JXUtHKqxqfqbo5iE6Ajq21PUnP1vSAcQlwXC2O6kBprRQFWTnYPV1l7vrrBWcwy8es4wthU3sLWovn/zU/ilotFOQ0sbEzOioKki4LomowGLqfuF04zhWrra+j5GcbYXNyAETApgKx4ZwghOdZO9V5kE0f2s/wlZpNRDUwWsfxqeP4+sZ6fzN/PzRLRWwym/1m6i3b4BTvsjDJmMrU27oRgOcRXbQ4qazeFqF4fhINZi8tsHp8XhIjqMUQxNXAU67vAIDINBEBNhxOZn7Ga71vMoHKJyIFACRzEo+XJnBTaHiwunZ/tc/r1pWdx+6mje2FDES2sG/q7spoI6RqbGkBwTwfG5SUQYDazpZZpas91Jna0tcCSldAs8tQC+fQCm/wBuXQOjfXv1ZwcZwSmosYUtPQ202gyzUbD2QA0ut1QC5ygmMcrcnqJmtbtC82VoNEFCdmeB46nDOdj7i94iXeBcdFw20RFGXll7bERxpJTUePWjGgh2lzcCML/mbXhgLDw5D1Y9rNVTBcmkrHiizEY29OG5Blizv4ax6XEBXS09UaNQRXCCrb/Rxu6vwAlBsX1TOax7Cp4/V4vUfPZrsFbhOuXXnGn/F68c/xacdidkTOoUqQlnoX9P6VKtba72yFs4iAkgMqxhLPRvH9tPHYxmKBE+cRUdYGyrPfRmFgOJEjiKQcl7m0vIToxipn43zxe/PGMsZ0zM4J5PdrF6X/WAzU1KyXeFdRyXqxWxRpqNTM9N7HUdTlG7g5qPYlynA5b+A545XesE/YO3YNGjmv+9H1JiIogwGXqM4BTW2hgWpvQ00O4KpcZaWK9foIxTKWpHLUkxHSlqIXV2ShzWSeCMTI0hNdbCul6+x9xuSVFdCznJ0cRFmrnwuGw+2lraHnU6WrE5nNz66nfMuPdrHlmyF7d7YKLc+bqDWmbzDohO0SJxX/0JHpoEz50DG57VmkAGwGw0cPywRNb3ISJea3Ww7mANZ04K3JQwtDbRDlJiehHBsXjEle+Lyp6w2fuYCtpYBuue1J6HB8bD578BWw3M/x3cuhZuX4/p9D9y0JBLs8N36rcnehQOgwOz0UCEyUBzgAv9aHP4LvQDigy7K+wCx1eamMstaW1zh94a24tYP2ODftPqCK2/ASVwFIOQysZWVu6t4qLjsgMWqhoMgoe+P53c5Gj+vTh/wOZ3qMZGrdXBCV4uPXNGprCjpIHGXtThtAucrilq5TvgmdNg+T9h8iVw21oYe1aP+zMYBFkJkQEjOK1tLsobW8kNYwQHtGLVljYXZqNgeD/sXhWDm4SoiI4ITihzxRNyoKGo/V9PHc66XtbhVDXbcTjd7XVuV88eht3p5p1NwUcUjjRK6lu49PE1LN5Zzsxhydz/5R5+8sqmXn029ZW8skYyEyIx1+TBsBPhpqXw0+/g1Du1i+lPf6lFdl65FLa+oTVG9MHM4cnklTfS0NK7OX+9qwK3hLMmDQm4nqdQPSQ20c29TFGL8NSa9G1sz0V4dDA3ExpLYe0T8NzZ8OAE+Py30FIHC34Pt66D29bBqX+A9I7+L4EiGeGM4IDWQ8t/DY6byDCKjNhAdTBtzrDVwWhj+z5ujwAPZxQlxs/YQEC78CMBJXAUg46PtpbilnDhcb7T07yJtZi46LhsthbXhzwd44sd5Xy1q3se+Xd6/5vOAidZr8MJPq2iqE4TIu0mAy4nrLhPS0lrKofvvwoXPwVR/u1Ou5KVGBUwglNcZ0PK8DmoefBYRY9Ki8UcZPGt4sgjMdpMQ4sDKSU2uzO4i66gdpyrXZw5OyItc0YkU9bQSlFt4AilN+19pnTL4olZ8cwYlsSr6woHJKqxv6qZWfd+3WeXxd6yqaCWRY+spKjWxnPXzuTNn8zhL9+byJK8Si58ZBX7Kn0LCg81zXZeWnOoz2Ior7yJyRkWqD0A6XrPoZRRMP+32sX0zSth7u1QlQ/v/wTuGw1v/VBrFtnWYSowa3gyUnZ81gbLFzvLGZoUFbD+BrSbQZFmQ79tom0OJzaHq1cpav11cOtoqOvnwrOTqJkIX/wOWhtgwR/gtvXaDbMFv4f08T43j4k4jAInQKF/i8PZXr8UnrH9X+jb7OGtwfF3zj21MeGsPYoO8Hxbj2WBI4T4uRBihxBipxDiFz6WLxBCNAghtug/f+7PeIpjg/c3lzB1aAKj02ODWv/UcelICcv3VIVsDh9vLeWWVzfxs9c3U9nU2c1nU2EdcRYTY7zmd3xuEhEmA2sP9ELg1NqItZi0jvCVeZqJwJK/wYTvaXfXJpzf63lnJUYFjOB4LKJzw9Tk04PHaEDV3xzdJEaZaXNJrA4XzXZn6FJXEnMBCY0dkZbZI1MAWHsweLFQWNPdMfDqOcM4WG1l9f7wi47NhfVUNtn52eubw14P89n2Mq58ah2xFhPv33YSC8alI4TgupNG8NqNs2lsbWPRI6t4+Ju9HKhq7rRtY2sbD36Zz7x/L+XPH+7k6RUHej1+m8vN/qpm5sbXgnRDWpcLaCG0JpBn3A0/3wrXfwnH/xAKVsObV8P9Y+CDW2HfNxw3NA6TQfTKaKCptY2Ve6s5e9KQoOrAoiNM/TYZqGnWBHhfIjg2P+lQPeGz31RDCax9HJ49S4vUfPE7aG2EU++A2zZotZsLfgdp4/zstYNAkYyWMKaoecYO6KIW7joYvy5q4RVX/s65rd2ZMrxj+++DE976n3DT55kLISYDPwZmAQ7gCyHEJ1LKfV1W/VZK2fsrNcURgZSSXWWNrNhTTU5yFOdPzerX/vZUNLGztJG/9KLj+KSseNLiLCzJq+Ti44f2a3yA1fuq+dVbW5mSncCu0kb++/Ve7r1oSvvy7wrqmJ6b2Cl9LtJs5Lic3tXhFNXayE2MQKx+GJbcCxExcNkLWuO0PpKdGEVlk5aWE+GjX0C4LaI9eCI4yiL66CZR77dUb3Nod7Jje9/Xw/eOPVbRhZA8EoAx6VoTyHUHarl8RnC9bIrqbAgB2V5NJ8+ZMoR7PongsWX7mDsqJfgeVH2gsNaGQUB9Sxu/ensrz/1oZsC02/7w6NJ9DE+N5q2fzCWxS0+W2SNT+OSnp/Cbd7by4Fd7ePCrPUzMjOe8qZkIAU8uP0BDSxvnTc2ksrGVNzcU8fPTxwRtfQxwoMpKm0syzVKqPZAe4DPcYIDc2drPWf+Ag8thx7taJGfLq0TFpPHf+Nmszl8AZ44NqnP80vwqHC43Z08OnJ7mIcps7HcNTpUuWtN6JXC0yy5bH8duj+DYK2HNy7DrAyhapy1Mn6SlA068ENLG9mn/MRZjgKLzAYjg+Bm7xeEKay1KXA9WzSGLTvvAX1pguCNm7WNX+34tHukpav2Z+QRgnZTSBiCEWA5cDPw7FBNTDG6W5Vfy0dZSvt1bTVWT9iEfZzFx5sQhPi+sg+W970owGgTfmxa8UDIYBAvGprF4ZzlOl7tXX8pd2VnawE0vb2J4ajQvXz+bB7/K55V1hdxw8ghGpsXS1NpGfkWTzy/ROSNT+N+SvTS2thEfwMHHg7t6Lw+3/Q++2gXjz4fzH4LY9D7PHTSBIyVUNLb67K9TUGMjOsIYugtRP3gEzngVwTmqSYjSXkf1tjasDifDLCESzu3NPjuMBoQQzByexLreRHBqbQyJj+xkR2wxGfnVmWO58/0d3PXRTu5ZNClsNqiFNVayEqO4ad5I/vzhTp5deZAfzxsZlrEaW9uYMSy5m7jxMCQhkpdvmE1pfQuf7yjn022l3KfXLp46Lo1fnTmOydkJLN5Zzk9e3sSSvErO7KGWxZs83UFtuLsQDGYtNS0YjCbNGXL06XDeg7DvK9j+Dmfu/pzzWj9B/uc/iCmXwpRLIWOy3/4ri3eUkxZn4fjc4FJ6I82GfkdwqvXvvt5EcCLNBoToMAvoFQ3FDN/zAu9GfETms3u1xzImw6l/hEkXQuqY3u+zCzEWE41+7JI9oiycAsdf3VVLGO2SPWNb7U6klJ0+D6SUYe1F0zF299dDOE0dPPir/4Fj20VtB3CKECJFCBENnAv4uq02VwixVQjxuRBikr+dCSFuEkJsFEJsrKoKXaqRIvTsqWji2uc3sCSvkjkjU7j/smn865IpNNmd/co1d7slH24pYf7YtF59YQCcNj6dxlYn3xXUwoHlsOkF6GV/nKJaG9c+v4G4SBMvXDeLhGgzPz19DJEmA/d/qV0IbCmqR8rO9Tce5ozU+uH0aG/qdiPXPMrjTT8j21kEFz8D33+l3+IGem726ekJEm5f+6lDE8hMiGRaTmJYx1EcXjwRnIaWNmz2EF4ExGeDMLQ3+/Qwa0QKxXUtQTeBLK5t6W7iAVw1exg3zx/Fy2sLeGzZ/pBM2RcF+vvtmjnDOGtSBv/6Io8tQfTh6Utvr+bW4O62ZiVGccPJI3jv1pNY9fvTWPyLeTx/3SwmZ2sOjaeNTyc9zsIbG4p62FNndpc1YTYKkpr3axfaxp5v8nTDHKml6F7+It9euIb/c9xCQ9worbnxEyfDo7Nh+b+hpvNz1trmYml+JWdOzAg6QhYV0f8ITrUnRa0XNThCCKLNxt4ZHBxaBc8shIcmMXvvA0ThwLngTrh9E9yyCub/JiTiBnpIE3N4akLCc9Eb6GLb0+gzXMRYTDjdEnuX5uF2pxuXW4ZVXMVajDhc7m6NywcighO4BucYdVGTUu4G/gV8CXwBbAG6vmO/A4ZJKacB/wM+CLC/p6SUM6SUM9LS0vo6LcUA8PHWUgwCvvq/+fzvyuO49IShLJqeTZTZ6LMoP1h2ljZS1tDK+VMze73tKUm1/M78JuPfOBFeugA+/jlU7g56+9Y2Fz96bj32NhcvXj+rXSikxlr48byRfLa9nM2FdWwqqEMImO7jwv243ES9DieAyKs9AC+ch1h8Byvdk/nopPdg6mUh6wqdlRgJaE02fXGw2srwlPC7mh2Xm8SaP5zea6GqOLJIivaK4ITSZMBo1kSOVwQHOno9VTYFV89SWGvzGckE+O1Z47hwehb3Lc7n3TC5qhXqPaeEEPz7kmlkxEfy09e/C1jEX9NsZ+a9X/Pi6kO9GstqdxEb2buLkezEqG51cmajgctmDGVZfmWPlvPe5Jc3MiotFkPV7u71N33guNE5vO8+hVdGPQC/3qtFd2JSYem98L/jNTOWNY9CYxkr91Zjc7iCTk8DiDb3vwanWk9R641NNGhF472yif7yj9p74bQ/8fS0t1nk+iemBb+F1NG9GjcYgnNRC89Fb08GB+G80PfXaHQg6mD89QCyhVlQesa2OlzdTFccTjcOl5vYMEaPwk2/TAaklM9KKU+QUs4D6oA9XZY3Simb9b8/A8xCiNT+jKk4vEgp+WRbGXNHpbSnIYFWg3LKmFS+3l3Rp7uPAMv3VAIwb2yQAtdaozUre2oBsc+cyE3Gj8lz58DCu7TlFTuDHntbcQMHqq3ce9GUbnUjN54yktTYCP75eR6bCuoYl+G7iVxHHY6PCI7brXWLfvwkqNjJoVPu58a2X5OaOSzoOQaDR5j5ujBpcbg4VGNVhf+KkOGJ4NTZHFgdIbZSTcztJnA84zUGYR/c2uaioqnVd58ptNTWf186jZNGp/C7d7exYk8Vja1t7Cxt4Isd5Ty38mC3Yvze0Gx3UmN1tBt6JESbefjK6ZTWt3LXh/4/mx5dup/qZgf/W7IvaJcvu9OlXYyE6G7rFTNzcUt4a2PwUZy88iamppugviBw/U2QJMVEMDwlmt1lTRCTAjNvgOs+g//bBWf+TTMyWHwHPDiB4Z98n+silzFnSPA3iiJDEsGxkxBl7nVadnRELyI4bS1Qvg2mXQnzfk2JMTvMKUuBa1EsJkPY6tZi/Izt1iMrkWGO4IB/kRFWF7UexVV4U9Sge08oz3k4JiM4AEKIdP13Llr9zWtdlg8Rei6MEGKWPt7A+GUqwsLO0kYOVlv5ng8zgTMmZlDW0MrO0sY+7Xv5niqmZCcEvuvvtMOuD+H1K7V+Cp//BtwuOOvvvHbSF1ze/EtKJtyg5YBXbA967L26fepxuYndlsVaTPzs9DGsO1jLqn3VHO8jPc3DCcOS2FnagMv7bkhdAby8SOsWnTsXbl3D1pRzAeH37nJfiTRr9TWlDd0Fzt7KJqRUdTGK0JEQpQmOisZW3DLEX4YJOX4FTn0QAqekvgUpAxtqRJgMPH71CYxOj+WHz61n6l1fct7DK7n5lU3c88ku7v00+ChwVwpqrEBnS/YThiVzy/xRvLe5hDU+XNyK62y8sraAKdkJVDfbeTvIyFKzXjMRKoGTkxzNKWNSeWtDUefPMj802Nooa2hldpzecNmPBXFvyYiP7OZiSUI2nPhT+MkKuH0Trnm/w2ir4C88hfmhcfDq5bDtbbAHFqdRoajBabb3qZ4xkMBptjuZde/XrNyrn8uyreB2wtCZgF4XEdaUJW1uvm5U2hzOsEdRPHUw3rSEufZHG1vbtz+RMRDRo64GC9YBSlGD7sLOcx6OZJOB/jaoeFcIsQv4GLhNSlkvhLhZCHGzvvxSYIcQYivwMHCF7OvtfcWg4ONtpZgMwmcqwOkTMjAI+LIPaWoNLW18V1jPgnE+ojdSQtF6+OT/4P6xWt+Eku9gzq1wy2q4+VuYextzp2l3DZftq9NSJHoRwdlX2UyU2UhWgu+7vVfOymV4SjRuCScEKGLNiI/ELbU72kgJG5+Hx0+Eks3wvYfh6nchIZtiPYVsaJLv8fqDZhXdvUYhr0wTceMzA/eIUCiCJdJsJNJsaK/5CmlBamIuNJWCq0PMJHqZGvREeyPdHm4ixEeaeen6Wdx+6mj+cM54HrvqeD66/SSumJnDyn3Vfb4I9mVRDXD7aaPJSY7iTx/u6JZz/9BXe0HAk9ecwPScRJ5asR+ny3dXeW/CcTFy5axcShtaWRGE/b7HYGCiqUR7IAQRHID0+Mh2ExufpI5mbe6PObX1PtYsfF/7TqjYCe/dqPXYefs6yPtUuzHWhVC4qFU3OUjpQxquJiJ8R0nKG1qpbLKzq6xBe6B4g/ZbFziao1d4owkuH7Uo7WOHudjeLaG1rfPYnucp3Kla0L0Ba3skI8zH7T2Wh5YBiB75S83ziK0jOYLTr5lLKU/x8dgTXn8/AjzSnzEUgwcpJZ9uK+PkMak+nXqSYyKYMSyZr3ZV8MszemdRuWpfNS63ZL53elrdIdj2Fmx9XatdMUVpBajTroCRC8DQ+cNuVFosQ5OiWJpXyVVDJsOBZUGPv6+ymdHpsX4LVM1GA3ecO4H/e3MLc0el+N1Pin43r7HiEKmrfw/7l8CIebDo0Q7rW7SLr9RYS1i+LLISotjnI7Vmd3kjUWZj2C2iFccWiVER7TVfIX09J+ZqaUiNJZA0XHuoPYLjCLChRlEvLNHT4yP59Vmde4Q0tLTxxoYiVu2rZuHEjF5OXjMYgO5NdSPNRu763iRueHEjz6w8wK0LtDqK/PIm3ttczI9PGUlWYhS3LhjFTS9v4pNtZT02PW7yRHB6WYMTiIUTMkiNjeC19YWcOj6wAUp+hXbzJNdZAKbI9uerv6TFWgILHLSGzFFmE8fNng/m02Dh3VC0Fra/o1ko73wPIhO0747Jl2qfxwajXgfT/wjOhD7cMIqO8G+H3KTXZ7W7iRVv0N4Lcdpr0DoAURTQLni7poTZ7OGug+mIoniLGc9NhnCaDMT6FRkDGT3qKq7Cf9w9Crtj1EVNcYyxpaie4rqWgL1uzpiYwe6yxvaLi2BZnl9FXKSJ6WkCvnsJnj8X/jtNKyiNz4ZFj8Fv9sIlT2t2oobubzohBKeOS2fVvhraUidAU5lWpxMEHoETiDMnDWH7XWe117n4IjnazKXG5eS+cRoUroVz74drPuwkbsBT/Bz66A1oPT9K6lq6hfnzy5sYmxEb1r4fimOPxGhze0pkSFNnvHvh6ESajVhMBhqCieDUtRBhMvSqR4k3s0ekEBNh5Ju8yj5tX1hrIzkmwme93ukTMjhzYgYPf7OX4jrts/K+xfnEWkzcukCzV144IYMx6bE8vmx/twLgrnjuvsaF8G5rhMnAJScMZUleJRU9uNbtLmsiIcpMdMNeSB3r8/O5L6THW7A6XH4Lz91uyeKd5SwYl9ZxMW4wwLAT4fwH4Vf5cNW7MO5c2PkhvHwhPDAePv8do+27ae1js00PVX1MUYuKMPqNDHrEarvAKdrQHr2B8IsMf9EE0GyiD8fYAxHB8R/JCK+xAgQ+7khz+GqetLG1c9pVcHvE1rGcoqY4hvh4axkRRgNnTvJ/N9Nzp/Pr3cGnqUlXG468L3gu9nFMD42Hj34KzZVw2p/gF9vh2k/guKvA0nPtyGnj02lpc7FL6sX7FTt63KbZ7qSsobVHgQMEtiBtLGPqtzdzv/lJGhLGa+lzs37ss0ldUZ3Np31tKMhKjKKlzdUpjUdKSV55E+OHqPQ0RWhJiDJTpqdEhjSdwUcvHM94waSoFdbYyEmK6nNjzQiTgXlj01iS1zfjlMIa/w5uAH+5YBICwd0f72LjoVq+3l3BzfNHtUfHDQbBraeOIr+iqUeR1RyGCA5oZgMut+TtHswG8ssbGT8kDlG5G9InhGx8jzj1F8WpbrZT2WRnzkg/UXWjGcYshIue0G6QXf4S5M6Bjc9zQ/6P+ZSfIr++u1fpzB5a21w0tTr75BQZqAanQ+A4oaFES9McOqt9ecjNPLrgrxYFtJSpgbjQPxx1MD2bDIRx7Ag/4soe3vPtPXbX4/b8H+rPlIFECRxFULjdks+2lzF/XFrAJpYjUmMYnR4bnF102Tb44g5c90/gIee9TLV/B8ddAzcugds3wLxfd4t89MSckSlYTAa+rNK/8IIQOPsrtXSuYASOT6TUUukem0NMySrubruGT49/GpJH+Fzd6XJTWt8atlSxbI9VtJeTWlWznVqrQzmoKUJOUnQETj3CENJ0hvihgOjWCycx2uy3GaA3RXW2fr/HTp+QQUWjnR0lvTdOKai1MizA+NmJUfx84Ri+2lXBT1/fTFqchetOGt5pne9NzWJoUhSPLdsXUGSFqyB4RGoM03MSWZYfuA7nYLWViSlo6YShFDi6U6c/W/ByPbKUmRDZ887MUTBxEXz/ZfjNXr4edxcH3UNg1X+1OslH58CK+6H2YFBzq7V6euD0ReCY/NbgdEpR61J/A1rK1EA4evlqPGkNd/TIz8W2J9o1EC5q3UXGQDiZ+T/ucJ5v8H/czQNQexRulMBRBMXGgjrKG4PrUXPGxAzWHaz1nUbSWAarHobHToQnT4H1T1EYO4WbHP9H3S074Lz7YegJfe4LExVh5MRRKXxywImMzQjqzty+/gic5kp482p478eQOhb3T77lBfc5VFv9pz6UNbTicsuwpaj5soruMBhQAkcRWjx1MRDiNA5TBMRnwaFvYffHWspnzX4yLW3U2wLXZUgpe4ygBMOp49IQoncRaYA2/SZG1/qbrlx/0gjGpMdS1tDKz04f0+38mYwGfjJvJJsL633bz+s0h/Fua0a8JWDfHiklja1ORqML0bTQCZz0+MARnPIGTeAMCUbgeBOZQEHOhfyo7fc03bZDSyWOSoQlf4WHp8PTp8Pax6Gp3O8u6myawEmK9n/Dzx/BRXB0gWO0wJAp7cu1CM7hSVFraXOFudDfd7qUp2dQWKNHEf5c1AYgguPnnIe73go6xFXX12OonRkPB0fuzBUDysdbS4k0G1g4oedi2zMmZvD4sv0sza/UimMdNs3JZuvrcGCpVjg8dCac9wBMupg/vrqH2nQHQ5JDkz51ypg0luZX4Rg3AUt5z1bReyubMRtFwLutPtnxHnz6K3BY4Yy/wtzbMBqMJEYdpNbq/wKs3d0pTClqnmaI3hGc/HJd4KgUNUWISfC6wAv53b7s4zVxU7Cq/aEXAQdmeDBDa/wYmw4xadrfMWkQk47VlEiOYx/jYhI1FzZj7y9CAVJiLRyfm8SSvEr+rxfGKSV1LbjcsscIUoTJwH+vOI4PtpRwxcwcn+tcNiOH/36zlyeW7/drcNJRg9O34wxEXKS5/aLbFy1tLlxuSbajQHsgLClqvmuAPLVBQ+J7KXDoKNy2mZOJn/VjLZ24vgh2vAs73oEvfq/12Rl+Mky5TDMpiOpw0PRcAPqqseqJaL0Hj5QS0eVmnieC0+gROFnTNbGvo9XgDLyrFmgX+wMRyehabN/i0FzVwllsbzIaiDQbfKSo6elxYRw7wmTAbBTdjjvcrnXQIdz8pagdsy5qimMDp8vN5zvKOG18elAv9ulDE0mPNXNo42Io2KQ52TiaISEXTvkVTL2ivQNzs93JhkO1XH+y73SuvpClp2g1Jowjbefz4HKC0f+891U2MyI1BpMxyICmtQY++xXsfB+yjocLH+/U9yEl1tKevuCLorrg7Gv7SnJMBBaToVMEZ3d5I+lxFpJjel8Qq1AEwmPdDGFw3LnsRS1Kaq1q//l49Vbqq0u5ZkS09lhzpRaptVaBS3vfxQKfWYCV+k9UUrv4aRdCsemdRFH735a4ThHk08anc9/ifCoaW8kI8kK6w0Etpsd1J2bFMzHL/42HSLORMyYOYfFO/9GE5lYnBgGR5tAnZcRFmtov5v2NDTDEfgDMMVr/ohCRFB2BySACpqgZDaJPVs1REdq56uSklpgDJ/9C+6naowmd7e9odaGf/BLGnAGTL4Fx53SIyj5EzaIijEjdDrlrRKRRP59Wmw1atmjCS0dKqUVwDkM0ATRxNTBWzX6iKAMQzejmZOZwEmEyBH990Edi9B5A3tgGIkXNT/1Ps8NJhNHQ6ya2gwklcI4iWttc1FodAV2++sK6g7VUNzt8NvfsRvVeDFvfYLF4maSSCmRVLGLShVoX5twTuxXcr9lfQ5uriz10P/EU6dbGjiXN5YCavQHvKu6vamZCsKlbuz+BT34BLfWaCcJJv+gmnpJjIqhuDiBwalswGkRweeN9QAhBdmIUpV69cPLLm1T9jSIseKeohfxun8EI8Znaj87Woqm8WlrINRed3XldKcHeCNZqVm/dzYtfb+Cu09LJNDV5CaTqDjHUWu97TFNkp4jQ1YYkDCYbJZ99R8aEsRCbpi9Pg+hUnzdPCn00+ewPSdFmGlvafN7xB+3iJNZi8rmsv8RZTDQ7nLjd0qdhg+eCPMV2QLvR48NUpa8YDILUAFbR5Q120uMsfXKZijJrz5vfPkdpY+HUO2DBH6BsiyZ0drwH+Z+BOZqx6adyumE8saa5vR7bc1Fpczi7CQZPtCzbvg/M9k71N3anG7cMs5uYnwteKeVhc1FrbQt/DQ50NBr1psXhCmtKoIeYCN8CJ8lHS45QYjQIosxGnxGcI9kiGpTAOWqQUnL7a9/xXWE9G+9c2GfnoK5UNrZyx/vbSYo2+++FYKvVwvpb34CSjSAMuDJO4meFl/Gjq2/lhNH+ezgs31NJdISRGcOSQzJfoD1KURY5mnGgXdD4ETitbS4Kaqx8r6faIlstfP472P4WDJkKP/wQMib5XDUlJoK9lf67aBfV2chKjAzrHSGt2acWwXG63OytaObaLgXMCkUoSIzSBI5BgGUA7vYlRptpaXNhd7qwmLy+gIXQ+p1EJrDNCIvdgvtPPhP8pRA5HWCr7hA/zVWdhZC1EporiLfu5EZTBea8jyHPx36ikjsEjy5+cksk15gl6SVuqE/vEEURsX2qL4yPMuN0S2wOl08R2dTq7FOqVDDERZqRUruT7WsMz4VwfNM+GH92t+X9JS3OQlWzb4HTm6haVzwiocdeOEJA1nHazxl/hcLVsP0d0ra9z7MRn+J+4VmYeIGWxjbspKAssj1j2xwuuiYdelLUprFXe8BL4AxM00lPylLn8+JwuXG5ZZhNBnyP7XmOBqLgvvuFfvjTxMATPeoeuQr3MYP2nFu7CH2r3fdnzZHEkT17RTsfbS3l692alejBGiuj0vroCOZFndXB1c+uo6rJzis3zu5898TpgL2LNVGzZzG42yBjMpx5L0y5lPqWGD56cAWnN8MJfvYvpWRZfhUnjkoNaRjUc0e5xJgNBjOUb4cpl/pc91CNFbeE0RkBoht7FsNHP9Muhhb8QUuzC5DTnxIbwbqD/iM4ZfWtZCWEx2DAQ3ZiFEvy9ddDtRWHy814FcFRhAFPxDQmIjwRhK4k6OM1tLSRHuf7y7+w1kZStDnwRb/HxCA+cGRaAPd+uINPNuSx8rYpRDpqNfHjEULNXn+XbwdrFfNbG5hvBN58psuYkR1iqIso6oga6TVF0Snt0aEEXUQ2trb5vOhotreFrRjYY1zgT0Q1tbaRRCOW1uqQ1t94SI+zUNbguwanrKGFsYE+uwPgqefwG8HxhcGg1eQMP5kXY25mzdfv8MzkAgw73tP6t8UOgckXaw1Fs4/3K2ajvQROVzwRnOMM+3DFZmJM6LhBOBB2ySajAYvJ0L3QfwD6wbTXwTi6RzIg/BGcmMMuMrof90BEUXwJO09U+EjmyJ69AoCaZjt3fbSTbP2u/Y6Shn4LnKbWNn70/HoO1dh44dqZHJ+bpKWAlGzSzAJ2vAstdRCbAbN/AtOu6OT0MiRCe7P4+2ICOFBtpbiuhZvnj+rXXLviqQmoaQXSxgd0Umt3UPN1vlob4Is7YMsrkD4JfvCmVvDZA8kxFupsDlxu6TN1oryxlek5icEcSp/JSoyiqsmO3ekiTzcYUClqinDguaEQTpehTuPpF/sNtjbS43zfvS+q7b+DmjenTcjghTUFrKpP5PQJ43pc//yHvmF8vIP7z8nUo0FVnUWRtUprRKwLIty+XMoERGvRoTNlPHFmA5avvoK07G7mCm0tTcRawpPK4qkx8VV0DloNzlhRov3jVYsYKtLiLGwrafC5rKLRzilj+pbe3C5weorg+KHBASs5HuMld0JbC+z5Qvte3PAMrH0MkkZo9TpTLut2XjoETvdz2mTXXgvHi71Y02bhXZ3ludAP9511X9EE6wCIK39jt7S5iDCFt+GlZ+yuTW1tYbbl9hBjMbWne7aPbXe2p1KGdWwf6XFaitqRLRGO7NkfY9j8NNm66+NdWO0uXr1xDhc+uoqdpY0smu4/LawnWhwubnhhI7tKG3nqhydwYqoNVtynRWtq9ml3Icefr9XVjFzgMwc91mIizmJqt/H0xep91QAhrb8BzZEk1mLSCv0zJsHB5X7X3VvRjEHAyLQuxcD7vtEKS5vK4ZRfw/zfgim4QtaUmAik1GxEuzaBk1JS0djae1vTXuIxWihvaCWvvBGjQfS9z49CEQCPwBmoL0PPePUBeuEU1dqYlJ0QsjFnj0wmJsLI17srOb0HJ0kpJQfq2pg1ehhkTex551Jq9UDtQkg3TvASRqbqMiaIIuLzd8KOpm67eA6wCws85O0s522g4OUyF5uupdUFMF7xxnMXt8mPVXRTq5MxhmLtnxBaRHtIi7NQ02zvdsOo2e6k2e7s82dp0Clqfmi2O4mN1KOWEdF65OZirT4z7xOtZmflg/Dt/Vp2w+RLtJ+kYe3f476iR40tTibE2shxVnEoeVongWMdoGL7GIsJW7daFO3/cNb/eMY+HP1g/I1tczjD6qDmIdZi6nRD2FPzNBARHK32qGuKmrM9Wn6kogTOEcIb6wu54/3tXDNnGL88c1x7ysJXuyr4eGspvzxjLBOz4hmfGccOP3e7guXnb2wmr6CYd+ZWMH3tY1ofCoBhJ2tF9RMXQWTPdsNDEiIpa2jxu7ygxkaU2cjQpNCnayXFmKm3OSB3Mmx7Q3M+i+lusbqvqpmc5OiO0Le9Cb78I2x6AVLHwY1fQba/JDvfpMTqJgfW7gKnoaUNu9Pd57zxYPG2is4vb2JkakznegWFIkR4IqYD1RDO89lX76vPFuByS0rqWzh7cs89u4LFYjIyb2waS/IqkHJywFS8qmY7NocreIMBITSXt6gkSB3jc5WC4noueGQVz1wxg4VjEzuLIWsVT36+llHRLSzMMWiPNZZC2VY9OuQr8uKJDnkLoa7pctqyBKMnPc5PY0q7k3GiCGmJR/SQ7tcX0uMsuCXUWO2dInbtPXD6WYPT2psUNS+aW/2k8EQlwnFXaz/NlbDzA82N7Zu7tZ+hs8jJOZdUMrrVPYAmJM+JK4AGKI+bzHCvZTb7wERwoiOMPi2LIfzvc1/RhBaHK6wW0R5iLd2P22p3kZUYnvo2b7qKq9Y2NzLMhhIeoi3Gbs6vzXYnQ8PUymKgUALnCKCptY37FueTFmfh5bUFfLq9jN+fM4EzJmTwxw+2M35IXHua1+TsBD7ZWurXbScgLiflWxZz7t5HeDRqE+bv7JA8Ck79I0y9HJKG9Wp3QxIiA0ZwShtayEqMDEveflJ0BHW2tg4jgMqdMGJet/X2VzZ3pKcdWA4f3g6NxXDSz2HBHWDu/Zenx+SgutneLT/c03k7I773tqa9IVsXjSV1Lewua+L4YUk9bKFQ9I1Is2YlOhB3WKFDUDX4ieCUN7bS5uq5B01vmZ6TyOc7yrE6XAFz0wtrNIvo3BA5qAHE67UvDS1tWiQ5IVv70Xnus3QWZKez8OKpnTf0RIc6GSh0+Wmu0sVQNdi73xw7DthlscCHqZA0pFsNUVaRi1zDXi16E4bP8rS4jmaf3gKnov2ztI8Cx+w/TSwYGoMxdohNh9k3aT91BXqPnXfJXnMX6yyCmqVzwH61lhERlYiUkqZWJzMS9+GQRkoiO/deGqgIji83Mc8d/sORomYLc4NRD76dzHxnzoSarsfteV0OxI2jGIuJQt3a3oNmMnBk3xRVAucI4KkVB6ixOvjwtpMwGgR/+nAHv357K0nRZhpa2nj6hzPai/QnZyXw2rpCiutags9BL9+h1dVsf4chzeUsMMRgn3wF5pnXwNAZff7SykyIbG8w6YuSupaQW1p7SIyO0CI4GXpdUPmObgLH6XJzoMrKwtGx8OmvYcPTmqC7fjHkzOrz2Ckx2heyr144FY2aG1Bf7zoGiydtI7+8iZL6Fn4wOzes4ymOXYQQJEaZByxFzdNYtN7m28ijvZFucmg/Wzy9Vmqa7QEFToEucHrdODgA3iYDvmhudbabAXTCOzqUFkSj0rZWL2c5zUChsaaUN5Zt5oxEwYhIGzSWQOkWbT23k3MADEDWWX09vIB4BE5lkx1v38r2CE5fU9Taa3Dcfdq+2d5GXG9e80nD4JRfwim/pGL/Ft58/iGus26CD2+DT/4PxpxJ2/iLMLkNjGvLZ5ccRq2j8wVmRz+YMEdRLCbqury/WtoGKkXN2K3NQutARXAiTe2Naz3pkANX6K9ZNXtuTnsiZgMh7GIjTO3RQQ+qBkcRdioaW3n62wN8b1oW0/TC9HdvPpF3NhVz35f53H7aGKYOTWxff3K2ljq2o6QhsMBpqoDtb2t1NRXbNbexsWdxT+FUdsXO5o2LF/R77kMSoqhqttPmcmP2YYlcUt8asMFdf0iKNnOo2qqnXKT7NBooqmthmnsXN+/6NdhKYM6tWm+biP5dmHinqHWloqF/dx2DxWIykhZnYanupKYc1BTh5IRhSYwZoBqvOIsJg/AfwfHciQx1BMfzvq5udgRs4FlQa0OIjihqKPAU+vs6Zpdb9hhVChpzJCQM1X50DHYnf/96MYwfz03zvAxh3G5oref+91ex5+Ahnjr92v6P7wNP1KZrLxxPNLyvN4s8TVH7U4Pjz+SiJyKGTORB5+XEzv0L14+o01LYdrxHRN4nbLREEtXsZIn79G7PtyeKEu6+LLEWU3tDag8DZXAQbTFhrek+9kBEiD3vIavD2R41tTlcA1PobzHh9mr+OlApgaClqHlHrqSUNDuUi5oizDz01R5cbslvzuxw7jEYBJfPzOGyGUO7pXeNzYjDZBDsKG3gnCldctDbWiDvU03U7F8C0qXVl5x7P0y6mD3NETz30AruPnl4SOaemRCJlNoXU9dITWubi+pme9jskpOiI6jzCIwhkzUR501bC4Yv7+DNiBdpM+bAtZ/C8JNCNrYQ+Gz26flSTg9zihpoTmpbi+oB5aCmCC+PX927OrX+YDAIEqLMfmtwimttGAQhjw6nxPi/ceFNUa2NrISokNa8mYyacUpjS/d0Kk/aUpyvCE4IiDYbEaLDvrgdgwGikzlAFvuj4sASns8Y7xQ1b8obWkmIMvf5DrcQWoPDlj6mqDW1OhmV1rdz7nEcbHG6YegJ2s+Zf6Nk69csf/dxFsXsYSVzyOwicNojOGG+8IyxdG/86LnDH+5ISmyEbxe1cL2+vfFuNBofaUZKidUxMA0vPWKi2a41fx2odETP2FZH5+iRlANnHBMujuzZDwKe+fYATrfk+pNGhLSXC8Ceiibe2ljEtSeO8JnP7at2JdJsZExGHDtKGrUH3G4oXKOloO36UOv0HT8UTv4FTL2iU9rCJ6vyMQg4Z8qQkMzfkzpQ1tDa7WLD4xYSrhS1pOgImuxOLXqUMQnWPQUup+YcVLQePriFYTX7eNF1Bhf/+Bks8YkhG9to0FJ2aq3dm9NVNLaSHBMxIAX/Q3WBE2cxtZsOKBRHA4nREX5d1EobWkmPi/QZNe4P3ilqgSiosYY8egQQH2nyGcFp1oVHuO62GgyCWIupu8DRCWeTUdC+0+IiTT4jOP1N9Y2KMPY9guPPZCAIIoya5XEnEWEwUpkyizucTjIvmMnej3cS3U3gDIzIiPHhqmUbQAc3XyYD4a5b9YwNHQ1V7U6t0H8ganA8kRqr3UlanMWr79DAuMe5pSYko73qkJTAOYZpsLXxz8/zcLol739Xwj8vmcJxuaEr5v7n53nEWEz89LTRvdpuclY8e3dvRS75ErHtTagv1DpoT1yk9asZdrJ2980LKSUfbytjzsiUPofdu5KZ0GFV3JXSes1dLZRpHN4kxXQ4LaVlTAaXXTMa2PEurP4fxA/lsWEP8VLZMH4UQnHjISXW4qcGp++dt3uLxyp6fGbcgDRgVCgGivgos98anIrGVjLCYMPuieDU9BDBKay1sbAHK+m+EB9l9lmD47kY8VmDEyLiehQ44b2USIuzdBM4oXietQiO7xqch77aw2nj09tTw7vSZPdT9xQEQgiizf/f3plHyXXVd/7zq33pVd2StdmWvMiK7RgHC9vgsXGAAAYD2ccEErYMgSEx2cHJTDgnyZlJMmRIMjNhhiEMJIdgcthCWE2cBAiJTYzxggy2BTa2pW6t3dVL7VV3/njvVr2qrtLSVe8+den3OUdH6qpS3fduv3p1f/f3/X1/8TWNPu0cj2cSTGaTawLaol+L4qIfTHBHH7xCf3DRgyfOarVBs2mI+edZqrlzUYP278F+tlwFGdDuN9Ue22Xmygtw7DGMqcnAucsXH5mn3jT8xksu46/+9fv8+Hv/hTc8bze//pI9A1+U//LdY/zDd47wzlv2Mp0/TS/y4gnY/0l+45kPsaX5IOarMa9PzQv+M+x9OaT668b3H1riiWOrvPmmiwY67iDbJrzgpZdV9MEFP8AJ0WQAvELkzedd6T34wVu9DNY1r4cf+T2++P6HuGRLODuPm/KpvhI1FztR0M6OqTxNGTWmThLgzBfK7J7tf69bL5lknHwqzvEen2vLSqXOsZXqUB3ULBM9FrzgLbQhvAwOwHgm2bcPzkql3tpMCYvNY2mOLHdulM0XygPXFmZTcco9MjjVepM/vftxViv1ngFOpd6gWm+26jTWO3Z3H5x2gJPsGeB4hd9uFtvG2AL7ds8eEUgPWanSa2zwAip7TRerDbJOsyiN1rjgTibmje1dAzaz6KKBsq3pstmjdq3Xxg4Rwr1SR5zPPTzHzuks//Hmi7nrV2/iNdddwAe+9gQv/7N/Xrf1pOVP//5xtk9meP3zdp38hfWqV1fz0dfCH18Gn/1VxqXMf6m9mq++/J/gZz/pWTyfJLgB+LuHDpGICS+9YjjyNICJbIJsMt4zg3NwsYRIeMX2077T0kKxBrN7IDXuZbFe+3F4xZ9i0uMcOLISWvPLmXyqr4ta2A5qFhvg7N0ajpGDokTFVC7ZV6I2H2Ij3ZmxNMd7SE8tT7Uc1IYfYE1mkyxFIFEDL6PQXRdhWS7XGE+H2ydky0SmI4NTbzQ5tjL4vTSbjPf8rl4sVf2/+7vWwWBznk8nWlkRiw0ixzMJL2PXI4Pjdke/PTerlYZfjxVu9qjX2GVHGZzuLIorYwVvDD/IqNoMjluJGrTPe8XBpokLBgpwROTtIvItEdkvIr/c43kRkT8TkQMi8pCIPHuQ8c4mCsUa//z4MV7+g9sQESYySX7/R3+Q//Oz1/DEsVU+89DcQO/9b0+e4Ceu2dluQBnEGDj4Dfjcb3hBzZ0/A0/dA8/5D/ALX8W89Wu8v/kKvrFwetkRYwyfeXCOGy+dPf1s0WkgImybzDC31Fuidt54Zuh1S5bpXKAgOJGCt34NfvHrcMmLAK8GaLXaCC/AGVsb4NT8L2VXErUfOn+KK7ZPcOOls07GUxRXTPUxGShW6yyX66F9xnp9roM8dWIV4PSbfJ4BE5k+AY4DidpYpr9Era9F9RDZPNYpUTu6UqFpPKfOQcgme9fgFPxrq59T3zAWgL0MDk4lUVut1B1lE7wxgkFtqVZ3kkXpzmQYY/xeNOGft5Va2rFtsOHEqrkVZNjskTuJWjBTBmgNjohcCfwH4FqgCnxBRD5jjDkQeNktwKX+n+uA9/p/b3isPO1lXU5lL778PC7enOfOrz/FT+87f13v/bXvHqNp4Pl7Nnc+UXgGHvqo54J27DGIpz3p2bNeDRe/wCugB3LAxZvH2H9obdO2Xnzz6UUOLpb41R85jT4JZ0i/Zp8HF0uhyhpsoNaSsXQ1KT1wZAUgtABnUz7NQrHa4ad/dLmCMeFbRFu2TGT47O03OhlLUVwymUuxVK51fL4g/D5TM/kUBxf7Ny+2PXBOuwfZGTCZTbLUI8hwk8FJts4tiLWodlGDs1pttHpztHvgDCb3zaTiPYOYBRvg9HHqCwYi6yWXiq8p5F8u1xDxpEE2wOmog3Fkl9wt1bJju5LHBceuNpo0jZsgozW2H1wUHUq1WtK8ruyRi993LiBRg/b5b/QAZ5Dt8x8A7jXGFI0xdeDLwI93veZVwF8aj3uAKRHZ1v1GGxErT7tq52TH4yLCq6+9gPufWjxpk8uT8ZXHjjKeSXD1+VNQWYYH/ho+9Ap4z5Vw9+9CbhZe8Wfw64/BT/0/2PPiVnBjuXLHZNtJ7RT83YOHSCVi/MgVwy+M3TrRO8A5tBhek0/okqj14HE/wAmrd8dMPoUxdDRLs523B/1SVpRznclsEmNYUxcyaPPHUzGTT5/URe2pE0WmcslWY85hMpH1ZGL1RmdRvK3BCVMm5rmonSR7FPJCaEuXVfT8kPqJ5ZJxytW1GRy7MWalat3YAGeQzFU2FV8jUVvyndmsFXq9aTqMCDzLYodZlECGabXiSibWmT0q+yYQbkwGugr9HVo195LHpeKxobtB9qL7vO3fLqy5w2SQmfsWcKOIzIhIDngZ0J2y2AE8Hfj5Gf+xNYjIm0XkPhG57+jRowMcVvh0y9O6+fFn7yQVj/GRrz91xu9tjOGrj87z89ueJPG3b4F374FPvRUWn4ab74DbH4A3fh6ueR1kp/q+zxXbJ5hfKq9xnumm0TR89qE5fviyzQMVTPZj62SGw0tlGk3TeqzZNBwqlENzUAPvZphKxPoWIj95bJXJbLJl/TpsejX7tAGOqwyOoowqU34A0b373v6MhfO53uRL1IwxPZ9/ZqHE+dPDz94AraCpWypmMzhh7q5P9JGo2aAnjO+OILYXzhEb4AzY5NPiBRm9anBOT6I2SFCZS/WWqNm5nOxxjZdcZXB61MGUaq7kcZ1j29+PiwxOOtFp311yWYPTyqK0JWouzhnW/r5HRaK27gDHGPNt4A+Bu4AvAA8A6zOU997vfcaYfcaYfZs3bz71f4iQfvI0y6Z8ipdeuZVP3P9MT4eWvhx+hIW/vYOPV97M2+d+Ex77gmfr/Ma74PZvws3vgE27T+utrtzhZZZOJVP7tydPcGS5wiuetf30j/MM2DaZod40Hbuex1YrVOvNUHuziAjTuWRHBiXIXCHcDNKmvO163j7vYe06Ksq5zlSubQMfJOxNhJl8inrT9Gy4accPK3tkF75r6jKqdbLJOIkQd3rH0gkq9SbVelf2aAiZjNPBNkY+GghwUvFY6z67XjJ9bKJbGZy+ErW2GcB6yacSPWyia6337BXgrFbrTuVSwRqcoKOai7Ft9qTkqPcPeOuGfEA66DKDk4jHyCRjbXlctdEKesKmPefeeds6oJyDOQ+Tge6Ixpi/MMZcY4y5CVgAHut6yUE6szo7/cc2NP3kaUFuu/Z8lsp1PvfwKcwGVo7Av/45/O8b4b3PZerB/8vDzYs4/vL3w689Bre+By64Ds7QueTy7Z5z1v5DJ5epfXH/POlEjB++bMsZvf/pYotA5wIytUO+hn37gAWip2I6l+LEau8vqLlCme0hLUTAk7JAVwZnuUIyLmzKDc/IQVHORVoBTtdif36pTD4VD63x5Kxt9tnHSW2uMHjzyX5M+Ave7l44yw6K/O2iu1um5krKsnnMBjjed8fhQpktE+mBHb1yfWyibWBTqTd7Pj8MY4dsam0fnKVAgNMrS1msNNzYBqc7swl27ChkYq3mpo4W+8GmtkWHTmZ27JVA9shZBqerBmelXCefirf6EG1UBnVR2+L/fQFe/c1fd73k08DP+W5q1wMFY8z67cXOAk4lT7M896IZds3kuPPrT699slaGb30CPvzT8Md74Yt3QCwOt/wRv7jtr/mDqd9h5jk/Bcn1f1FOZJLsmsnx8DP9MzjGGO7af5h/d8lsaDszttlnZ4ATbpNPy3Qu1VeiNlcIb6cV+kjU/A7rG/2moShRM5ntMhHxCavJp2XTSZp9lqoNCqVaaPeVXjv64C0Ex0PeWbcBY7dVdDuTEa5EbTqXIhGTDonatiHMs7WJ7pYcBms3e/YeGoKxQy611qLaa5rqzeXEWZDBCUrUio4kat1j2wDTRXAFXtC6uqbQ341UK59OdBT6u5KIJeIx0olYh0Rto8vTYPBGnx8XkRmgBrzNGLMoIm8BMMb8b+BzeLU5B4Ai8IYBx4ucU8nTLNZs4L9+/jscOLLMJZvHPCvnBz8C+z8FlQJM7IAbboerboMteynXGtz9d3fxmuuGk025YsckDz692Pf5b88tc3CxxC+94JKhjNcL+2U/H2j2aZt8hikRA5jOJ3saPZRrDU6sVofyBdl37FwKETqafbps8qkoo4zN4HQvPucLZc4bD3/jopfRwLDqQvoxkfW+rrvlcSvlWvjd5VsZnN62xmGbDMRiwmzAKvrwUoUrtg/e3yubitM0nlNXOtFeQBcC5gKLxdoayeNyuU4qHuvdxuG0x05QrjVpNk1r02u5XOeSLb0lao2moVxrunETS62VqJWqDXIOFr1WFrUSQbNN8IOMlkys3qrLcTJ2qjO4chXUgfcZtue9Uq1v+B44MGCAY4xZ40HrBzb23wZ42yBjnG2cjjzN8hPX7ORv7voKBz/5Li4p3w0LT0IyD5e/0qut2XWjl7nxufeJE1TqTW7aM5y+JVdun+SzD82xWKwy1UMWddcj84jAC39g+O5plk25FKl4rKMXzsHFEmPpBBMhyxqmcqmeGuq2m1l4AVY8Jkxlk5wISFkOL5W5bMDO24qiBBZ/a2pwKly7e1No41rpaa8Mjq2xC2vjZLKPRG2lEv5iZPwUAU7Y93LwjAaOLFcwxjBXKPHCvYNvBNoApVztDHCC3xu9VAArldrAskArCyrV2rUtHTU4fhBvex/ZbI+LDE48JmST8Z6NPsMmFhPfQtuXavkZnEGCyTMhKBNzmUXpHrtYrbMlxM2abnLpQO2RZnDOLSr1Bvc9ucDXDhzjjTfsPrn2t7QA+z/F7IN3cnfyHppzQmP3TcRvvgP23grp3tbEX370KKlEjOt2zwzlmK/c4e1wPXywwI2XrjVu+NIjh3n2BdMth5owiMWE8ybTHVbRBxdL7JjKht4Redrvdh7sIwDBGqBwbx4zY+kuF7VKz9+DoihnRjIeI5+Kd9TgNJuGI8vlUE08WhK1lR4BzpKXmQ5LItfPZGC5XA+l704Q6xbWrwYn7Bog8AKc+UKZpVKdcq05FClgLhBkTNKW2S0Ua16T6kK5p0RtpTx4UGnHtsX7xpgOidpYKkFM2r/vVibDQQ0OdGYymk1DqebGwa01dpeTmbOxU4nWJqirvkOtsdPxluqj6LAGB7zzXumQqG1sgwHQAOek7D9U4CuPHeNfvnuMr/vZlVwqzk9cs3Ptixs1OHC3J0F79PPQqMDmvTxx9W/y6nvO57evftEpncq+8vhRrtu9aWgX9dXnTzGWTnDnvz29ZmH9zEKR/YeWuOOWvUMZ62Rsm8iuqcEJs8mnZTqXotE0LJXrHX0p7EIkzBoc8BZD9ma1UqmzUqmHPqainCt0Z2hPFKvUGoatIcpAU4kYE5lEx8aFZb4QbpPRXCpOIiatHX2LmxqctZIl8AIeu9sfNlvG0zx8sNCSAg4jkLXH3V0LUyhWuXAmx1yhvMbIAvw5HzCoy6Zs9/g6kKZca1Jvmtb7xmLCRDbZusZtgOMigwMwlo63ZGLlug2uXI0dKLavuTUZ8IIrXx5XcR3gJFoNdYsVdy5q4M25/RysVBrscLBGCxsNcE7C/7j7AF/YP89l543zM9ddwA0Xz3LtRZvanv/GwNwD8OCd8PDHoHjMa8K5742eBG3bs7jQwNL9X+SbTy2eNMA5uFjiwJEVbntOdyuh9TOeSfJzz72Q9375u14d0Ja2POrvHzkMwI9cHp48zbJ1MsMDgVqgQ4slr4lpyEz7sryF1WpHgDPXkpKEWwM0k0+1GooeDlmfryjnGl6n90CNmyMb9pmxdIf9e3v8EuOZRGjSDhFvwdvLZCDsDEq/GhybyQg7Gw9eBuf4SqVlUjOMzSIreyp1OaUtFGvctCfPPd87sUYGCe2GnIMQzOBAb8OGycDv22Y0osiiuK+Dia8dO+kysGtL1FwZDHhjd0rUXI6dSyc6rjWVqI0477xlL7/3o1eulXAVDsLDf+MFNke/A/EUXPYyeNar4ZIXQrx9g4oJXDiT54ljKycd6yuPec1Nb9ozXAnTz994ER/8lyf5n/9wgD+57Ydaj3/p24e5eHOeizb3lssNk22TGb6wv4wxXpp7oVgL3UENPJMBgIVilV3kW4/PLZaZyiVD3xGaGUtx7xPeAuywv/jaoiYDijIUpnLJjgxOqwdO2NLTfKqPRG04zl4nYzKbZCkQZBhjWHVag7NWHueq2/nm8TRNA4/Mea0PhrFZZL8DglbQ5VqDUq3Bjqks8Zj0lagNqkLoDnCWetQzBQOcosOmk3ac1mK74tbJzCu297NHtgYnFV6fp46x/cDOGOPLB91mcDpMBpxmcOKtzQMX9xQXbPwzCJFds+1FMZUV+M5nPAna974MGDj/erj1T+CKH4XsdN/3uWg237op9+Mrjx1l22SGS7cMN+DYlE/x2usv5P1f/R5vf9Eeds/mKRRr3PO9E7z5pouGOlY/tk5mqNabLBRrraL7MJt8WqyxQrfRQJi9KoJsyqdZKFZpNE3oDkuKcq4xmU1y4Eh74+jwUrgSMcvMWIonjxXXPD5fCLf+B7zFb3DBXak3qTVM6BmcdCJOKh5juUuithSoGQmbLf5Go219MIy5btXgBJp92vmdzqeYzCZZLPUyGRhGBifhj92ZwZnol8Fx2HQSvGxCqxalZsd2J1GzSotitU48JqRCbGTbMXYmQb1pqNSbFKuNgZvJngle3VODcq1BvWmcStSCDm4ujEtc4OaK2ag0G/C9f4JPvgXevQc++QueE9rz3wG3fxPe9EXY94aTBjcAu2ZzPH2iSL2xtmMyQL3R5J8PHOOmSzeHkur/+Rt3k4zH+PN/PADAPz56hEbTOJGnQbAXTomDtsDfQYDTkqh1ueDML5VC32kFb6fXGG/8YerGFUXxMziBxf78UhkRQjVNAW/jolejTxcZnIlssqMGp1Xk72AxMp5JrJWoVWqh1/9Y7O/14YMFZvIpUonBly+9anDshthULslUNtnTidNzOxsssLOBig1c7NwGM2LB33e76aS7DI7NGkVhcGB/J6Vqk2wy7kQGCZ2NRj2ZmNssCrRdGrMOJWo2e1RvNKnUmypRG3nufA089nlIT8JVP+VJ0M6/Ds7wg7ZrJk+9aXhmodSZFfLZf2iJ5XKdf3fpcOyhu9kynuFnrruAv/rX73P7Cy/lrkfm2Tye5uqdU6GM1421Y54vlFu7rC4yONM5K1HryuAslrnKwbkHm30eWaowng5Pn68o5xqT2RSFYtsl8XChzOxYmmTIO72zYylOrFY7+pfUG02OLldCzx5NZJOtPmLgSaXAXYCz0sMm2lVW2lrmHlwscfm2wXvgQO8aHGsLPZ1LMZlbW/NkjBlK3VO2lT2yGRwb4JwtGZz4GomaC5tosPI4b8xSzb2bGHgyrdVKw2kdjF0fHPE3RJ1mcNJxVquN1u98FNYqG/8MwmTfG+BZ/x723ALJ9d/Ed/tBzRPHV3sGOLYZ5Q/uOHVvnfXyCzddzIfveYo/+fvH+fKjR3nl1TtaX85h087glJkvlInHpCU3CJOJTJKYeCYDlnKtwfHVKtucSNS8AOfYSsWTr6iDmqIMjalckmqj6dvXJpw10t2UT9E0sFiqtT7jR1cqNE24vbXAu6cF++C4zOCMZRI9baJdWEQDzI61f7fDcqPsVYNjN8Qms0kms8k1jnktWWBoJgNra3CMMRQdLzw7m066lqgF+uBU604bXuYDGZxSte7cyQxoNbR1GtilEzSappU9GhsBm2iVqJ2MPS+BK35soOAG2rU8Tx5b7fn8Y4eXSSdiofYy2DqZ4aefs5OP3/8Mq9UGL3YkTwPviykeE+YLZQ4tltg6kSHhQE8biwlTuVSHRO2I1ek7kah5X8gnVj2JmtbfKMrwmPKdEa2E6LCjz9iMv9A+HnBSs/UCWyfDDbCCC15o7/q7CDLG08keNtHuTAayqXhLDjcsqW8u2RlkAC1nvn4StWE1N8112ET3lqhNZpPUm16xe7Hm2snMk6jZHjjgVqJWqjVoOO6/AwGJWrlO0fHYNnt0xA9wXFmCQ/u8bd3VKGRwNMBxwEw+xXg60TfAefTwMpeeN0Y85IzKW2++hGRcyKfiPPfi4TQTPR3iMeG88TRzhTLP+E0+XdHttHSo4Mk7wraIhm6JWlkd1BRliEz2CHBc1LjN2mafwSa+NsCZCDmDk01QaxjKNa+e0wYcthFnmIz1qsEp1xlzMLZls38PHVatU0sm1iODM51L+b2WOjM4w2pumlsjUash0rmotdd4oVSjWGkQjwnpIdQenQ52wbtarbcczVwaHNixi9VGS0rognygDsYYd71/vLE7MzgugysbcNuxRyHA2fhnsAEQEXbN5nni+FrnHYDHD6/wPAcBx46pLL/24stoGuP0hgFexmR+qcShxRL7Ljy5KcMwme7K4NheGdscNRoV8W4YRxzo8xXlXGIy1178lX37eSfuiP7GRdAqup3BCd8mGrxzzqbaMh4nGZyuAKdca1BtNJ1lcAA2j6X53tHVof2ebbBQrgZrcGok40IuFWcim2S5UqfRNK0NyHbd02CBXTIeIxkXVgM20WPpRId0PPj7XvUL3l0V29tszWql0ZaoOepFYxfXq5U65VrDqURtLMI6mNbYNsBxGGRYSZrN4IyCi9rGP4MNwq7ZPA88vbDm8UKxxvxSmT1bx3v8r+Hzludf7GScbrZNZtl/qMB8oezEQc0ynUu2nNsgsBBxsBCKx4SpbJLHD69QbxonsjhFOVeYynqBRqFUbUlPXWRwrPQ06KR2eKlMKhFrGZuEhbUQXirX2DqZadk2OzEZSHfW4LSyRy4DHL92c1j1jCJCNhnvyOAUSlWmcilEvPu3MV52xbYd6FUrs16yyTilgERtosuZrTuDE4VkyatF8fvgOFrstxzmKl4GZ+uEuyyh3Sw40qqDcZnB8c47igxOviVRcy+PCwuVqDli90yOgwslqvVOq+jHjngGA5ed5ybAiYrzJjI8ebxIvWmcNPm0TOdSHSYDc4USEyF2G+9mZizd6oFkXYAURRmcqVxbojbvqMkneJsmImszOFsnMqHvrgcXvNDOJrgIMsYzXg1Od/2PywDH3kOHuUGVS8U7anAWVmut+q7gNWYZZlAZtGJeKtfWzGWvDI4rgm5ixVqDZFyGYs19OrSDK6/paibShX4UJgPe/SyaAGd0Mjga4Dhi9+Y8TQNPneiUqT122AtwLj1vuA0+zzaCmmmnGZx8p0RtznEGaVM+1fqdawZHUYZHa/FZqrW+lF1kZhPxGFPZZEcGZ36p7OTzPeEveG1vlJVKzVldxngmQdP0cP1yWIOzczpLIiZDlRhnujI4i6Vqq4dad0AJww0qs6l4yzxg+RQBTrHacFbkD50ysWIlGiezVT975MqeGtqB3dEV9zKxtTU4DsfuNjhQFzXldNk109tJ7bH5ZfKpuNPC+ygIfvm7Nhmo1JutFPt8wc1CxDIT6IKsNTiKMjyyyTipeIzFotsAB7zMbNA+eL7gxsGtVwZnLJ1wUpdhpTs2c7Pi0MHN8uprL+BTb7thjZRrELKpeIdN9GKx1qrvCgbRlrZEbfBjyKXiLftnz5Gu8z2DAe1qpe50wdvZ8LLhtOi8Qx7nuA9OPObJFqOowfFqrALBleM+ONCuPXL5uQ4LDXAcYXvhPHm8K8A5vMKerePOCgejIrIMjr8TZ7M4c4VS6N3Gg1gntZh4DQIVRRkOIsKEb5s8XyiTScaYyLr5Ut6UT3HMl6gZY5hfKju5r1hrYpvBWa7UnUlJ7OJ7peKNvRSBRC2binPlkPvFeXUwnQGOlai1nfrawWy7EeLgi89cMhHIiK213B5PJxDxAtpSreG88SP4Tmaum20Gs0dVt2Pb8aPoRSMi5FOeU2JMcOaYB0Gb6ArJuJBOaAZHOU2mcimmckme6M7gHF5mz5bRrr+BdgZnMpt0qu20Rb8LxSqVeoNjK1UnFtGWTX5B8uxY2knvH0U5l5jKJSmUqn6Tz/BrYCyzY6lWH5yFYo1qvenE4KC1ox/IorgKMGwPmtbYDi2qwyTbVYOzWKoynbcSNe/vpVJnDU4qERvKAjCXbsvjeknUYjFhIuMF8auVumNXrXYdTLHiuP7HD66Wy3Wq9aZTeRx4jmIn/KDWdbG9Pfd8yk1m1mKzg6Wa22xdmOiKyyG7ZvIdGZxjKxWOr1adOahFyZbxDCJuszcQyOCs1pw2+bRYiZrW3yjK8LGNGI8sVZwEGJaZfFui1rKed/AZT8Zj5FLxlkRtteoyg9NugAjDdROLkmyyLVEr1xqUa81W5qa71xJYt7PhnLM1ODDG9JSo2WOwNThuMzidWRRXFtHQDq6ORSDVAu/cfS8Np3VPdmxwmzkCSCVipPxN2FFwUAMNcJyyezbPk8faJgPWYGDPiBsMgPfhmR1Ls8NB/5kgdiduoVjl0KJt8uleoqYOaooyfGwj3/klNzUwlk35FAvFGvVGk/kl777iwsENvAXvUrAGx1GAcTbU4IRB0CZ6MdDkE7zvrVwq3lGDY+uehjN2glLVC6rqTdMzWLQBjusaHFsPUvTrYFwu9LPJODFpF9u7z+C059nlnAfHjiKLYrNHo+CgBhrgOGXXTJ6Di6XWbtFj8+eGRbTlXa+4nLfe7LYPT9vms9qyknUZ4GxqZXDSzsZUlHOFyWzKq8Fx5GJmsfV0J4pV5gveIszVfcVKliCaGhybuVmu1MkkYyQ3uPQ2aBNtazWnAv2MprLJThe1yvCCylwqzmq1flLjgmAGx2Umw9aDrFQafnDlfmybwXHZiwY6F/iugyubPXE9LrSDqlFwUIMBAxwR+RUR2S8i3xKRj4hIpuv514vIURF5wP/z84Md7sZm12wOgO8f97I4jx5eYSqXbDUvG3VuvWo711y4yemYthngQrEW6DbuTiZnmwKepxkcRRk6k9kkcwWvv9gWh/dRW1t3YrXKfKFETGDzmJvxJ7IJlsqdLmouaEnUTuL6tRHJBFzUbAYnGOBM5lJdErXa0OqObHBl65p6Sd8ms0mOLleoN43zXf18Ot6yas46lKh5Yyc46ht5OA8y0u0gIx5zawAVZZBhg6tzvgZHRHYAtwP7jDFXAnHgth4v/agx5mr/z/vXO94oYJ3UrNHA477BwKg7qEVJKhFjLJ1goVhlvlBmPJNwmn7dOZ1l53SWZ1847WxMRTlXmMolafpaeae1dX4G5/iKlxnePO7ORMTb0W8X+ru6n9nFz1KgBmd8BBZCQRe1QsnP4GTbjpeT2UTrcfACu+FlcBJU683W+/eSqE1kky0b9ChqUVZ8FzXXC+58Os6x5ehqcKIYFzyDA3CftQKVqHWTALIikgBywKHBD2l02RWwijbG8OjhZfZsHf36m6iZzidZWPVqcFzK08C7Uf7zO17ADZfMOh1XUc4FgjvtLmtwrETt+GqVOUc9cCwTGa8Gp9E0FKsNZzUw8Zgwlk60am9WKu4c3MLE1uAYY1jokcGZ8mWQlpVKfWiBnV1AH/YNcHplxKZySWoNL4p3Xfw9lk5EZtU8lm5L1DIRuKiBe4MBCGRwIgiu8hHW/4TBugMcY8xB4N3AU8AcUDDG3NXjpT8hIg+JyMdE5Px+7ycibxaR+0TkvqNHj673sM5qJjJJZsdSPHlslcNLFZbLdfacI/U3UTKd8wqCvV4Vo91QVVHOJazLFeDURc1K1I6vVDjsuP5nwjcZsFIxl7utY+lEuwbHocFBmGRTcZoGKvXmGpMBaBtZWHr1qxlkbKCVoenVwDR4jbtecFvHvmq96dRFzRs7QaXebB2HS9pBhvvr236eXQeU0D7fcz6DIyLTwKuA3cB2IC8ir+162d8Bu4wxVwFfAj7U7/2MMe8zxuwzxuzbvHnzeg/rrGfXTJ4njq3yaMtBTQOcsJnKpVgsejutrjM4iqKEx1RgIbplwl0NzlQ2SUw8iZrzDE42yXKl3nJSc5lFGc8kAjU4w6tFiRJb31GuNVgsVkklYmSS7aXRZDbZclEzxgzdZACCGZzeNTiWKDI4NoviXqIWKPSPIHsUxbjQdm2LIriyc37OBzjAi4AnjDFHjTE14BPA84IvMMYcN8ZU/B/fD1wzwHgjwa5ZrxeOdVDTACd8pnNJjixXOLZS0X40ijJC2MXfpnzKaeftWEzYlE/z9EKR5XLdqXGJPWdrmjLmMMgYyyQ6bKJHJYMDXoPDxWKN6Vyyoy52MpekWm+2euQ0mmZoc24Xs0f8DM6pApwoMhm2f5z7IKM9XlQ20dEEGb48LsL6n3NeooYnTbteRHLi3Q1eCHw7+AIR2Rb48ZXdz5+L7J7Nc3ipwgNPLzI7lm7ZCCvhMZ1LMVcoYwxsV4maoowMU/7iz6U8zTKTT/HIoSXArQ28ddqyfb1cBhnjmWSHRG1UanAAStUGC8Vqh8EAtA0HFou11rkPO4Mzv1RGpPeCujPAce9kFrVMDNwHV9GaDNix3X+2cq0MzjluE22MuRf4GHA/8LD/Xu8Tkd8VkVf6L7vdt5F+EM9x7fUDHu+GZ9eMZzTwT48e4TI1GHBCUE+tGRxFGR1sMfhWh/I0y8xYiu8eXfHHd5/BOWgDHIe7reOZBMuVOs2mYaU6GjbRdvFcrDZYLNWYzHWek53vxVKV5Up/O+f1EAxwxtIJYj0siaOswTkbGl5ChBmcSJptRh9cjUoGZ6CzMMa8C3hX18O/E3j+DuCOQcYYNWwvnNVqg0u3qDzNBdP59heE1uAoyugwnkkiEs3GxaZ8KhKL6okoA5y0J1FbrdYxhpGxiQavBqdQrLW+oy3tZtG11muHNec2uDqyVOkIZIJEWYMTHC/SDE5UfXCizOBE0gdHJWrKANgMDsBlWzXAccGUZnAUZSSJx4Q33bCbW6/a7nzs2UBjT5cmA60MzkIUEjXPJtoaDYyERC1Qg9NLombnu1CqteqPhhXg2KzIySy3JyLM4ASNBaIKcNKJWM/MVrhj+wv9CK2ao8jgjJrJwGicxQYin06wZTzNkeWKGgw4YtrfgRtPJ0ZCUqEoSpv/dOvlkYw749dPTmaTTnd67YL3UAQZnLF00gsEVodbixIlNjtgJWpT+d4StUKxhjFeym5Y3yPBBXS/AGc8nUAEjIFcRFItgKxjm+ixSIvto6uD2T6VIR4Tdk7nTv3iITOmAY4yKLtn8xxZrnDpeVqD4wJbg6PZG0VRhsUmv9mna9nrZIQBjl2Ezy+V/J83/oaRDU5PrFap1ptrTQZy7Roca6427D443nv2nstYTJjIJCnXGiTibkU3QalSVDbRruVpEAxw3I+9czrHfb/9IqYjMKB6/mWbecdL93LljknnY4eBBjgRcPX5UywWaz2beinDx94oNMBRFGVYzPjNPl07uOVTcWLi1XHmUnHiDuU7Yy0HN2tRvfGXEHYBbW23p7tMBsbSCeIxoVCqkfQDjGFL1ODkQdNkNun092zpyOBEJFGLog5mUz7FO166l5f94LZTvzgEoghuwLse33rzxZGMHQYb/+60Afn1l1zGL79oT9SHcc5gv7DUIlpRlGExG1EGR0SYyCZZLNacBxjdFtXDchOLEhvgzBe8c5rqCnBExGv2Way1ei0NS5oXjwmpRIxqvXnKAKdhHS0cEszgROWiFkWAIyIjtdA/V1GTgQhIxmORfGjPVbLJOD+wbYJrLpyO+lAURRkRbA+zKHrwWJma6xoY2+Cy1WR0FAKcVGcGZzK7dvd8KptksVRjpVInk4y1MjnDwNbhnEzuN5lNOpeIQacszbmTmR9Q5RzX/iijg145ysgjInz+7TdGfRiKoowQ26ey7N06zrW7Nzkf28qbXWdwxrsyOKNQg5NOxBBpn9N0fu05TeaSLJU8WbkN8oZFLpVgoVg7aQbnNdddwGKpNtRxTwd7fWWSMecSudbYuhmsrBMNcBRFURTlDMkk43zhl2+KZOxWBieiAGeuUEYkGhvdYSMiZJPxVgan22QAvPk+vlJlMlsbuiwvexoZnFsiqgXJR+gmZi2xXTvHKaODStQURVEUZQMxkY3GztVK0uYLZcbSCUTcF76HQTYZp1htAGtrcMBK1KqsVOpDl+VZp66zsZ6pJROL0KpZ5fzKetEAR1EURVE2EFHV4FhpXLXRHCkXULuIziRjZHpkDKZyKQrFGivl+tCDylwrg3P2BTiZZIyYRBPgpBOeLE4DHGW9aICjKIqiKBsIG1yMO87gpBMxEn4txihYRFtsAb3tmdbNRDbJUrnOYunktTLrwcq/zsZ6JhEhn06QjUCiJiJctXOSvVu1IbqyPkbnDqUoiqIo5wATEWVwRITxzKmL4jcaNktgM2PdTAWaqz5r51QoY5+t8zmWTkRWa/XJ/3hDJOMqo4FmcBRFURRlA9EKcIbs6HU62KBqFCyiLVaW1qv+Jvh4sdoYfgYnaWtwzr4MDuA7x43O71o5d9CrVlEURVE2EG0XNfc76+PpJFA6KyVV68XWmPSTqAUzO8OXqJ3dGZzf/7ErNcBRNiR61SqKoijKBmIiwiyKXYifrQvy9ZA9zQwODL/2aDKbJBWPtRzLzjaes8t9nydFGQZn5ydKURRFUZSebBnPADCTTzsfuxXgjNCufjvA6ZfBaT8+7KDydc/bxQ2XzBJz3EhTUUad0blDKYqiKMo5wOXbJ/jom6+PZHfdStNGKYOT8WViU31MBjolasOV5s2MpZkZcx+oKsqoMzp3KEVRFEU5R7juoplIxrUSrVGqy8idQqLWEeCM0HkryiijLmqKoiiKopwW7Rqc0TEZsFbN/SRqqUSsZZU8Su5xijLKaICjKIqiKMppMdI20X0katDO4oySNE9RRpmBAhwR+RUR2S8i3xKRj4hIpuv5tIh8VEQOiMi9IrJroKNVFEVRFCUyRrEGx5oMTOd7Z3AAJv3szihJ8xRllFl3gCMiO4DbgX3GmCuBOHBb18veBCwYYy4B3gP84XrHUxRFURQlWiZaLmqjI1G7aHOe8UyCrZOZvq+x2Z1ROm9FGWUGlaglgKyIJIAccKjr+VcBH/L//THghSKiXoiKoiiKsgG56dLNvOX5F7N323jUhzI0br5sCw+968VMnKSuyErU8hE0V1UU5cxZd4BjjDkIvBt4CpgDCsaYu7petgN42n99HSgA0Vi/KIqiKIoyENP5FO+8ZS/J+GiV8J5q73UqlySbjJMYsfNWlFFlEInaNF6GZjewHciLyGsHeL83i8h9InLf0aNH1/s2iqIoiqIoQ+W2ay/gt162N+rDUBTlNBlkK+JFwBPGmKPGmBrwCeB5Xa85CJwP4MvYJoHjvd7MGPM+Y8w+Y8y+zZs3D3BYiqIoiqIow+Pq86f42efuivowFEU5TQYJcJ4CrheRnF9X80Lg212v+TTwOv/fPwn8gzHGDDCmoiiKoiiKoihKXwapwbkXzzjgfuBh/73eJyK/KyKv9F/2F8CMiBwAfhV454DHqyiKoiiKoiiK0hc5GxMq+/btM/fdd1/Uh6EoiqIoiqIoylmKiHzDGLOv+3G1A1EURVEURVEUZWTQAEdRFEVRFEVRlJFBAxxFURRFURRFUUYGDXAURVEURVEURRkZNMBRFEVRFEVRFGVkOCtd1ETkKPD9iIafBY5FNPa5gM5vuOj8hovOb/joHIeLzm+46PyGi85vuGzE+b3QGLO5+8GzMsCJEhG5r5fdnDIcdH7DRec3XHR+w0fnOFx0fsNF5zdcdH7DZZTmVyVqiqIoiqIoiqKMDBrgKIqiKIqiKIoyMmiAs5b3RX0AI47Ob7jo/IaLzm/46ByHi85vuOj8hovOb7iMzPxqDY6iKIqiKIqiKCODZnAURVEURVEURRkZNMBRFEVRFEVRFGVk0ADHR0ReKiKPisgBEXln1Mez0RGR80XkH0XkERHZLyJv9x/fJCJfEpHH/b+noz7WjYyIxEXkmyLyGf/n3SJyr38df1REUlEf40ZGRKZE5GMi8h0R+baIPFev4eEhIr/i3x++JSIfEZGMXsPrR0Q+ICJHRORbgcd6Xq/i8Wf+PD8kIs+O7sg3Dn3m+L/594iHROSTIjIVeO4Of44fFZGXRHLQG4he8xt47tdExIjIrP+zXsNnSL/5FZFf8q/h/SLyR4HHN+z1qwEO3iIR+F/ALcDlwKtF5PJoj2rDUwd+zRhzOXA98DZ/Tt8J3G2MuRS42/9ZWT9vB74d+PkPgfcYYy4BFoA3RXJUo8OfAl8wxuwFnoU313oNDwER2QHcDuwzxlwJxIHb0Gt4ED4IvLTrsX7X6y3Apf6fNwPvdXSMG50PsnaOvwRcaYy5CngMuAPA/867DbjC/z9/7q83lP58kLXzi4icD7wYeCrwsF7DZ84H6ZpfEflh4FXAs4wxVwDv9h/f0NevBjge1wIHjDHfM8ZUgTvxftnKOjHGzBlj7vf/vYy3MNyBN68f8l/2IeBHIznAEUBEdgIvB97v/yzAC4CP+S/R+R0AEZkEbgL+AsAYUzXGLKLX8DBJAFkRSQA5YA69hteNMeYrwImuh/tdr68C/tJ43ANMicg2Jwe6gek1x8aYu4wxdf/He4Cd/r9fBdxpjKkYY54ADuCtN5Q+9LmGAd4D/CYQdMbSa/gM6TO/bwX+wBhT8V9zxH98Q1+/GuB47ACeDvz8jP+YMgREZBfwQ8C9wHnGmDn/qXngvKiOawT4E7wbftP/eQZYDHzR6nU8GLuBo8D/82WA7xeRPHoNDwVjzEG8ncKn8AKbAvAN9BoeNv2uV/3eC4c3Ap/3/61zPARE5FXAQWPMg11P6fwOhz3Ajb40+Msi8hz/8Q09vxrgKKEiImPAx4FfNsYsBZ8znke5+pSvAxG5FThijPlG1McywiSAZwPvNcb8ELBKlxxNr+H149eCvAovkNwO5OkhTVGGh16v4SIiv40nz/5w1McyKohIDvgt4HeiPpYRJgFswisn+A3gb3xFyIZGAxyPg8D5gZ93+o8pAyAiSbzg5sPGmE/4Dx+2KWT/7yP9/r9yUm4AXikiT+JJKl+AVy8y5ct9QK/jQXkGeMYYc6//88fwAh69hofDi4AnjDFHjTE14BN417Vew8Ol3/Wq33tDREReD9wKvMa0GwzqHA/OxXibIA/633c7gftFZCs6v8PiGeATvtTv63iqkFk2+PxqgOPxb8ClvntPCq+o6tMRH9OGxo/+/wL4tjHmvwee+jTwOv/frwP+1vWxjQLGmDuMMTuNMbvwrtd/MMa8BvhH4Cf9l+n8DoAxZh54WkQu8x96IfAIeg0Pi6eA60Uk598v7PzqNTxc+l2vnwZ+zneiuh4oBKRsyhkgIi/Fkwu/0hhTDDz1aeA2EUmLyG68YvivR3GMGxVjzMPGmC3GmF3+990zwLP9+7New8PhU8APA4jIHiAFHGODX7+JU79k9DHG1EXkF4Ev4jn5fMAYsz/iw9ro3AD8LPCwiDzgP/ZbwB/gpT/fBHwf+OloDm9keQdwp4j8PvBN/AJ5Zd38EvBhf+Pje8Ab8DaG9BoeEGPMvSLyMeB+PFnPN4H3AZ9Fr+F1ISIfAW4GZkXkGeBd9L/nfg54GV7hcBHv2lZOQZ85vgNIA1/ylT33GGPeYozZLyJ/gxe414G3GWMa0Rz5xqDX/Bpj+t0D9Bo+Q/pcvx8APuBbR1eB1/lZyA19/Uo7k6ooiqIoiqIoirKxUYmaoiiKoiiKoigjgwY4iqIoiqIoiqKMDBrgKIqiKIqiKIoyMmiAoyiKoiiKoijKyKABjqIoiqIoiqIoI4MGOIqiKIqiKIqijAwa4CiKoiiKoiiKMjL8f7q+ob7t9h+FAAAAAElFTkSuQmCC\n", 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["ptrl = PiecewiseTreeRegressor(min_samples_leaf=14)\n", "ly = numpy.log(y)\n", "ptrl.fit(X, ly)\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(14, 4))\n", "ax.plot(X, ly)\n", "ax.plot(X, ptrl.predict(X))\n", "ax.set_title(\"Changement de r\u00e9gime estimer avec des arbres de r\u00e9gression\"\n", " \"\\nversion logarithmique\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["C'est un petit peu mieux. Cette m\u00e9thode s'applique surtout \u00e0 la tendance des s\u00e9ries contrairement \u00e0 la m\u00e9thode suivante plus appropri\u00e9 pour segmenter les r\u00e9sidus."]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Gaussian Hidden Markov Model\n", "\n", "Qu'est-ce ?"]}, {"cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [{"data": {"text/plain": ["GaussianHMM(n_components=3, n_iter=1000)"]}, "execution_count": 18, "metadata": {}, "output_type": "execute_result"}], "source": ["from hmmlearn.hmm import GaussianHMM\n", "model = GaussianHMM(n_components=3, covariance_type=\"diag\", n_iter=1000)\n", "model.fit(ly.reshape(-1, 1))\n", "model"]}, {"cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [{"data": {"text/plain": ["{1}"]}, "execution_count": 19, "metadata": {}, "output_type": "execute_result"}], "source": ["hidden_states = model.predict(X)\n", "dates = covsept.index[1:]\n", "set(hidden_states)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Le model n'arrive \u00e0 rien sauf \u00e0 pr\u00e9dire une valeur constante."]}, {"cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, axs = plt.subplots(model.n_components, sharex=True, sharey=True, figsize=(14, 6))\n", "for i, ax in enumerate(axs):\n", " mask = hidden_states == i\n", " ax.plot(X[mask], ly[mask], \".-\")\n", " ax.set_title(\"{0}th hidden state\".format(i))\n", " ax.grid(True)"]}, {"cell_type": "markdown", "metadata": {}, "source": [" Ca ne donne rien car la saisonnalit\u00e9 l'emporte sur le reste."]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Les modules classiques\n", "\n", "* [seglearn](https://dmbee.github.io/seglearn/)\n", "* [sktime](https://github.com/alan-turing-institute/sktime)\n", "* [pyflux](https://pyflux.readthedocs.io/en/latest/dyn_lin.html)\n", "* [hmmlearn](https://hmmlearn.readthedocs.io/en/stable/)\n", "* [statsmodels](https://www.statsmodels.org/stable/index.html)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Saisonnalit\u00e9"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Saisonnalit\u00e9 et moyennes mobiles"]}, {"cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": [":2: FutureWarning: the 'freq'' keyword is deprecated, use 'period' instead\n", " res = seasonal_decompose(ly, freq=7)\n"]}, {"data": {"image/png": 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\n", 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