{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Couverture de risque ou Hedging\n", "\n", "N'oubliez pas de vous référer à la vidéo pour des explications complètes !" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from statsmodels import regression\n", "import statsmodels.api as sm\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Obtenir des données pour la période et les actions spécifiées\n", "start = '2016-01-01'\n", "end = '2017-01-01'\n", "asset = get_pricing('AAPL', fields='price', start_date=start, end_date=end)\n", "benchmark = get_pricing('SPY', fields='price', start_date=start, end_date=end)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "asset_ret = asset.pct_change()[1:]\n", "bench_ret = benchmark.pct_change()[1:]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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IHbzprrzySlxwwQV4//33sWHDBvzpT38yAqWdO3ca+6GkpAT33HOP8XvTp0/HySefjIqK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VAxauiJd+H1618DmUjYOd7KjHL2thnwRGIO5IExGFK5bd8lZ8PruiX6yfhrJyOJFpDny9qOeu+R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\nu+nbty8hISH4+/vrVUcG/hW8Ojs7c+nSJfLz8wkICKC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "asset_ret.plot()\n", "bench_ret.plot()\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Régression pour les valeurs de Alpha et Beta" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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kb0ZbmU/FZD7f8TJmUw3MRpYJOo5NLBa+EvT2kpfXHwTnklVSExuR2aGASkRE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\ngN4g6Ma+eXl5qq+vV3FxsfLy8pSVlaWJEydGo20AephIb5j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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(bench_ret,asset_ret,alpha=0.6,s=50)\n", "plt.xlabel('Rendement SPY')\n", "plt.ylabel('Rendement AAPL')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "AAPL = asset_ret.values\n", "spy = bench_ret.values" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Ajouter une constante (colonne de 1s pour l'interception)\n", "spy_constant = sm.add_constant(spy)\n", "\n", "# Adapter la régression aux données\n", "model = regression.linear_model.OLS(AAPL,spy_constant).fit()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 1.67990248e-05, 1.02981370e+00])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.params" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "alpha , beta = model.params" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.6799024809993564e-05" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "alpha" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0298136979465768" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "beta" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Tracer Alpha et Beta" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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0Ra21FV59NV2F6t5QwuuFu+7qClHMudR2vSQaHZHPN9PgnUlziaF+F6hxhcjo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\nAKHRZqDKyMgI5TgAv3CBcAQTDSXQvu54YdzT0UCmazCVFQBCgxX86FH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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Dispersion des rendements\n", "plt.scatter(bench_ret,asset_ret,alpha=0.6,s=50)\n", "\n", "# Ligne d'ajustement\n", "min_spy = bench_ret.values.min()\n", "max_spy = bench_ret.values.max()\n", "\n", "spy_line = np.linspace(min_spy,max_spy,100)\n", "y = spy_line * beta + alpha\n", "\n", "plt.plot(spy_line,y,'r')\n", "\n", "plt.xlabel('Rendement SPY')\n", "plt.ylabel('Rendement AAPL')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implémenter la courverture de risque" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "hedged = -1*beta*bench_ret + asset_ret" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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GkjYiolRhwBMX1loTEVES2RfSJI8rRESpwoAnDpIZHiIiSiKnSxvn4SEiShkG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D0/9tgipxnwD/7pa/zr786CnvFnwIfL2tKDAxCClzbXcJbusrBipMQP66Z73JhmeIZHengifNtH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w6N8//ueVy8yhpbb7mbt+dU8Anu1GC69f3EaSShDojhghBHtRHYlMu4LwbFlJm5IZlLEVtBdt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hedged.plot(label='AAPL avec Hedge')\n", "bench_ret.plot(alpha=0.5)\n", "asset_ret.plot(alpha=0.5)\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Que se passe-t-il en cas de chute importante du marché ?" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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UA0BlQVGbl+StFHhERERERHyModoVeAJ/8Q5PWIJr89HaIgWeOgo8IiIiIiI+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\n6elJ7dq1adWqFdu3b+fHH39k3rx5tGzZkm7dugHoGuYLUM6Ok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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hedged.plot(label='AAPL avec Hedge')\n", "bench_ret.plot()\n", "asset_ret.plot()\n", "plt.xlim(['2016-06-01','2016-08-01'])\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Effets de la couverture du risque" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "def alpha_beta(benchmark_ret,stock):\n", " \n", " benchmark = sm.add_constant(benchmark_ret)\n", " \n", " model = regression.linear_model.OLS(stock,benchmark).fit()\n", " \n", " return model.params[0], model.params[1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**2016-2017 Alpha et Beta**" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Résultats 2016\n", "alpha: 1.679902481e-05\n", "beta: 1.02981369795\n" ] } ], "source": [ "# Obtenez les estimations alpha et bêta de l'année dernière\n", "start = '2016-01-01'\n", "end = '2017-01-01'\n", "\n", "asset2016 = get_pricing('AAPL', fields='price', start_date=start, end_date=end)\n", "benchmark2016 = get_pricing('SPY', fields='price', start_date=start, end_date=end)\n", "\n", "asset_ret2016 = asset2016.pct_change()[1:]\n", "benchmark_ret2016 = benchmark2016.pct_change()[1:]\n", "\n", "aret_val = asset_ret2016.values\n", "bret_val = benchmark_ret2016.values\n", "\n", "alpha2016, beta2016 = alpha_beta(bret_val,aret_val)\n", "\n", "print('Résultats 2016')\n", "print('alpha: ' + str(alpha2016))\n", "print('beta: ' + str(beta2016))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Création d'un portefeuille**" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Portefeuille avec Alpha et Beta:\n", "alpha: 1.679902481e-05\n", "beta: 1.36609473733e-16\n" ] } ], "source": [ "# Créer un portefeuille couvert et calculer alpha et beta\n", "portfolio = -1*beta2016*benchmark_ret2016 + asset_ret2016\n", "\n", "alpha, beta = alpha_beta(benchmark_ret2016,portfolio)\n", "print('Portefeuille avec Alpha et Beta:')\n", "print('alpha: ' + str(alpha))\n", "print('beta: ' + str(beta))" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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kEum0eGVmiYiIek+wDI+IKOkYLLmkJbPEYImIiHrPDpYkM0tEREnDYMklvAJI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pLx8DtXGd4w+43tUY+3rmxj5QE//iFzTTWOHyMPmmS5JjlE+p+pjGvdm7y3ffWObM0Hrf6bBrDU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BGDAxXCiFkDINhxEoZ28Wg0H4z3/8zSRJ/z3XC9vQAynrjS5ZypSlwh5Jm/JclNCV7F48fHKK\nz3/1EreuLlIjQRbdLXZQ01Dp+httuUcbfosklnp+Ts/ryYhqIgRSCqIh8fRJkpDEMUJ1531kZGnQ\nnKEMjmFTc6usTC1ycCUgjmMS0+gjehkJvbXS4sL1NfZNFDmyf3CF/cT8GJ7pYg3okdoNZsszWKYi\ntjeot/z84DwIWeFyL5Yy37UR9TbY5lDXwii4lsUTD+7n4o11Lr1Q5L5trD8ZlOMw/d6ndqQsAZzc\nN8dfvvgqK8ESSJgoF3CURVQtksWXvHX/g3z58jdoBi1mx8v8yN99J7/1b5/lS09f5dpCnf/sbz+M\nZ3p5n9/YHqLSe5HZpSJBj7KkCOIAEYT96YJZ0TOKSYIAsXkem9Bz6k7Nj/HMywu8dHGFR+/XBbHV\ntOenVvRYAxZWU3XYNjAtixuWiR9EeOdfQJ18II8NL1oFNrIwiZ5AIGVaGIYkCGJs18LYo/1yFLLn\njFKyJ3fYJ5mhXLC4dHOdr7+oUxKz/XinyCydQdpfubTW4tpCnQeOT7LQWmSts8Gh6lxu0wQdVtIx\nFI22j13wKTRa2J2IjWqJ9VShaqZkyTM22/C6ypLnGFyvx5AkRElMkN4fUurzpGvaIOs020HeAxam\nhd/eOUv3HRnjfY/M88TDo2eBZTi6v4KITU7P76zAm8GQirmJKucuXuN//dQz1KM1zLLA7nEIZLPg\nGusmbints0rU0D1oGDILY+aG6VWTbocseaar+5XMnSfNKtvO5zUq18MLRz925Ks9cuQIjzzyyI4v\n4vWG//tPnqO4VuP7HzucxkJqG16SJPjLyxil0hZfrcgXuUTb8KTMCUgyYPhjuJ4OaZtyeW/lIG+a\nt2BpjbjTQSkXY/3AFnsK6A9MIJCBj2NJVjuR9lekVYdYCBIxXFk6MF1CJIpIQdlV+eK9RVlKN9ai\nZ+JHepvpHUgL+sYdKxUJlcIwdIOiFIIgEnklZLuBtJDNgREEYcR6qwMiwdkkryop+IUfeYC//z//\nBZeXGkym72dmUXjoxBQPbeoLACgeO0pnYYHGuVd3XXIPuAAAIABJREFUHfAAMF52IVb64BgplNCE\n0DCtvt9TdE1mJ4vMjBV27MntXTT278CCB2AUS3n/SqG698CUA5V9tMMOVafCxSE/Iy0LaZqItNom\nDZOSaxNLoT3XIsHxdn+QzkIdmp1h0RIafhTQ9iNmU9+8pUxm33GMCW+Maxs38TY1ZSqpeOfBt/DX\nZy9w0VvmysJ6Tpay72rUanP17CWubkT87599hZ/+oSOEcaQj5dd9wjBGGAYQErdaqI0WrYkaQkkm\nSmWWr3k8duBh8D0WV1u87b6Zvj48IQQzYx4XbnZwXAtEC1+aesaJFFjp92bYwU8YBonv60jUPTbR\nD4IzwvoghcQxLNZo59XVLIGpYO0ttjzreYs3xd6emh/DsQycZluvrWV3S8U6IyCdMMDtOUgmSUIj\naCLiNCmvx4aXVZMTNFkapiwlSUKSJAgp8wLOpRvagjSqKjtTmuSFfUs0llb1TBRD9RE9x9KDjF+5\noq21jz84O5SYKCn4L37g+7d9vp2gbBcpWSUS8wYrG81tyVKmLO0kLasXEkngWnqy3B6stxlsZSGk\n4NBshY+9+z1bejmGPm5i54e5+/bPoqQgQu9rU5VSX4qrpUwmvBqnJo7yrRvPc9/kCaZqRf7RRx/h\n//h3z/PFp6/yq7/9V5THAm40G9imYmxA3PVuYORkKbXhGWAZUtu+wgjT6S/8CKkVqCSOt6gstrLY\n6NQ5tV8/5sULyzlZWk/J0kSpwAVCbq2kPTOugWmbXK1VWXeKlJoXObh+gXp7P4ZUOIbNmh/o8QW9\ng05TZakpIhzPum1L8DDkPUvpWrFrZamoP99/86cvYRiK97xl+6b7zbDNzIan14zMgvfA0XFeWHgF\nAZyaONr/nK6Dbxp0whAn7FC92cJUFqvjFVqLOgW1lfYsDRtIW01teHEEYZwQxVHeN5UVu13TIZGr\nbDT9LlmKulbODKah+IkP7i4I6C2np/nRdx/n8V0QrAzzkzUq5RuwkDBWMTGqZl9Pe0aWlpYjjs1b\nhNEGxBJnl8qSY9jMV/cz6aU2vLQvTs/j2ntBMXNMuObOf4d0bFhHFzNdB7d1B8jSj/3Yj/EzP/Mz\nPPjgg31Wso997GM7vrB7iXq9ya2ra2nqSJIHPITr63qa+KBJ3nnPklaWesnSQGUpG0hrxhiRZHJs\nDD+dU5AtHoN8ttK2tc2k3cZ1DIIk1NPQlYJYz2cCkGrwJj095iFRxFJQtmVOllR6iFWGqVWx1OpW\nLlgstDMbXncgLWiyMlkq62quLfCjACkUCYogjFCWMVJZKnp6zpIfxvli7w1YLMcrLof3Vbm1EBGE\nEQn9kuwgeAfmWPmGTf3V87ntajeH0LGKnrW01mpgRhWqShAlEc6mL6kQgn/68+/c8e8F+vot9u8g\n3AF0td4wzJzI7BWThXFNELaBEEJbYJbS5zZNKkWHWAj8MCQxE9zC7g/SmbLUCbZXljaaesByNY2h\ntZTJemeDZtDSc0EGNGU6hs2piSM8c+4Wz10/z6Nn9Pc0U5Y6N28SdXw2rBIXzy3yh19pUpqGSW+M\nBW7o5LqUWATXtI2nmaoN+6pVFi53kGGBp8+lm+mxrQlCf/t9J1lcbbLxteeAhEAahFFMYHT7CI3S\n4M9bGAb4/sBhvncbrumQiHqe5Jb1wJT2OOPJKGRkqa3tdOn3zjQkbzo2wZWvXEJIPfdiM6HIbDHN\nTkC1p0jsRwFhHCEi/f+9nhS5gmtScE2S+vY2vDiJEXGMUIqxtBk6TgtDg2LDezFTnOQF8xWaE0Xi\ntZtIu99GJoQesrjR9PUA2iEWvAynB+0je8C0N82L4jrnl69xZHZ4ESVKX6fapTIkhWB9vAqrTazK\naFvTMGTFPynkjhKo9oLp4gS1ksviWlMP9iw4SCmxlIkfBUwXJ5BCcnz8MBOFMWqOVv5MQ/GzH76f\ngzMl/vXnXmK11WLmWIEzh8cp2nufcwZdZSlE6LOAkdrwQh8RxRhW/3shlCJqdWcO9eJw7QALzWVC\nawXbNHjxYndMQrZ/llwX126xksbhZ8pSIgWvjB9kw17maGeV4JvrFB8+gxCCOPC37CnKtBmvuDi2\ngVty9kySRyEr1OaOlV0qS1mwU9sP+fATx4YOmh+GbL3J7G3PpGRpdr/iudVV5sozeVJnhnLBoWMY\nQMD+9SW8goV1Yj+R3yJZilhaa9NKA6/sTUXvLOChXLDSgo8gDONUWdLXkBXhirYDImG13mJ2Qu8b\nmePJHnH+GQVDSX7wiaOjf3AAio7Hk2+d4wdPPcbV9Rv8u69d7+vfLHoWJc/i+kKDR70xXooWEXsI\neBBC8Pa5h/v+LA2DOAj23LMEXcVqN+tQVnRVto1QakcW9ZHfmN/4jd9genpaR2+n8bvhiLkqryeo\nOGK96RNldq9UWeqk4Q6b+5UgtdEgtHwexyBVNwY0HqAsbWwgLYu1uIUpDVy3J4Y8Iy4DCI9MK3tJ\nq4Pn6PkNa40OSdaAmxKsYTY8pXR+fyShaAmStErRteFZKVnSBxzXNnp6lrLpyV1labqqN0/fbRIm\nEY7Us5f8QL/mUWRJV70lfhCxnlt/BrP9Y3MVIgT1lg8kqBEVc6EUhcOHiDsdOjdvpW/gLshS2YHY\noNHuUA9jMoeCOaCiYSi5q4rtXpQlISXlM/dRvm/vUdK7gVnoXpcyTMqeTayjxkD0pCXtApnFsj2C\nLK2lg46zOU6WYZIAG506jjG81+Et8ychEZxbOZ9HsWaWttbVa4RhTN0uUy06/H/PnGVprcVUShzD\nKEal1xelym+YzqI6kJLtawuNbvPv0a1k6cyRcb7nzQfSZKiEjjDwg4jAUPlhY5AND7p2FHUH+5V2\nCs+0QcZspM3EjbR/aa9kSXkeSkpEO8jtLRkePjGFE3YwlEANUNmyxuV2p/8eaQR6fUiiVFnatPFO\n1byRylKUaMuLTIdIZrNOYLSyNO7WMKXB4pRDpASysvVzzKx4Zw6PU9tF/8DtYLao7e6X165t+3NJ\n3rO0u+quQBB5NuenJjBvw/qS7R+DhnTeKRjKYH9Nf59d085JumPoz3m6oHsUhBCMudUtZPf9jx7i\nV3/uHfyjn3qMR+/fR6lg5Y/dK3IbHoIkCJHofThI1Vtz83dMyp7Y8H4CM1eZxVYWl9aucPRAmeuL\n9Vyp2EgJVtF1KLpWbrssOGZegLy63OKV2lGsyRryxhKFl65q634QbiFLhmli2YZOsk2TZ+8GxKZD\n/26VpUxxGau42g20S3QDHvSacfHGOpWizUqkR4Gcmjy25TGeZRNaplbHk5igVqL0zkd0lLuM+O9/\n72ssbWzgGltJZq4slbSyRCLxw4gojnIilPW5FVLVcaXR7f0M4wiS7nXfC2Rkoxm0CDadDzPMThZZ\nWG1RtSu5DW+Uy2EnyEjS7ZClmdIUU4VxZkvTO3/eLHQpDarxduC6GHkinJyc5Nd//df5+Mc/3vfP\nGwUqidlo+gRhTIJWeAQCf2lwvxJk8rlWlohjkCJvTt6sLCVRRLBRRxUL1IMmFaff1peTpQEH+2xq\ncdLWqWyJEKzXfT2YFgjTxwyK6c4wVSkQS4FrQZxVMnIbnl4UTZFQ8nSEd5csZRWgrrK0f6yqAzBs\nhWs4FGSZWMh8Ov3CaksPgBwSaSmlwLEMgjBmIx306A0hS0cPVEmE0AM2BagdLKrFo7pykuzBhlcp\n2ojYpOVH1KMItQ1Z2i16LUQ7iQ3Pr+n+M5ROnrjt598JjEK3rC8NQ4dS5PdVQqm8e3tKFpPcHtGz\ntNbIyJK+BlOmTcBJvK19Z3a8iumPs9Ksc2FVD0nMe5aCgDCKCUs1fv5H7yc2m3zj26uEaSBJGGU2\nPP19TkxFnD7//JQmRheur/HCxWXmpkrbHoaVaSIltDEIo4hAyfzgNtSGlynK90BZ8uz+TbnhtyCW\nFNy93euG5yGFQnZ8grj/s37w+ARO1EGZMk8760V2uGyH/Y9rphG6cZAqS84msjTm5QEPw3qW4iSG\nOMnXga6aJEaSJSklU8VxNmxYedcp1IGt4SlFT9+nm2cr3U1MlCqIwOFWY5FOODw4Za3VQCSSsrc7\nAixSAgoMjOzeKex0/+jt/bgbOD6tFb1Cj2KTEZ6Z0uiG7kP7ypw8OIGdHv7uFFkKhQ7gsdKByWFH\nD6A2Nlv6lcqjC7cQGKk4XDtAJ/KZntX3+Nk0UTXbP8uOQ8HrPs61DTxHv5YbyxvEUmG87UGisod1\nY4WVr32d2Pe3kBRDGSRZ4M1tOBlGQfaOtxBi1891dK6CaSh+6oOnB85JGwV7k7LUaIUUPMWN+iJV\np5zHo/fCkArlWmzYHgvFAvUHDuO5RY7ur/CuB2e4sVznc199lZcv1jl/bS0fQwM6DU9KqUmsYyDS\nnu046Q5rz8hSOSXSWXgHZMFjw1stXgtke3AraOfnw83purMTBW159ouEEYjI2nXP0iBk++TtKktP\nHn7HFsVwO+TKUjrEdnMv2iCM/IQef/xxPvWpT3H+/HkuX76c//NGgYpDokgTpsyGJ4Wgs7iEUAqr\nOrhpV0iliVKSIIREqv45SxnCRkNPvPYs4iShbJf6h22Z2fyQAQ38to1EELc7OHamLPm5YhJlB7Jt\nSME77p9jomZTcFTXUpcuGEYqGY+XTE4c1NX0LODB3NKzZDJeLPE9D80xNzfGXFn3cCSInCwtrukZ\nS9t9sT3LTMmSPgwVhzS3H5urEiPRAekJxg6+LGa5hDOd9jP1zMvaCQwlKdgOrU5IIw5RSi945h2o\n/PcuGrshS68lzJ7mYsO0UEIhTUWSxuk7zu7fhyzpsDVCWWqn92UpPaz3Vq22O7woKZjx9lFv+iw1\n9CFC9hxGGtLCLHrMTBmcOlylVTf53z79rI74TpL8eygQRLUSSIEhFfPT+rvwH75xlTCMBlrw+q7D\nMBAyoY2BH4b4hqHXEdPsu55eZAd4uYf39XZRzDdlTZbqfgsRm30hCruBME1NGNtB7rGHtGhx4wpP\n3Vdjcq7Sl+iUIUtMbHf6FalMWYqC/pEBGXR8uByhLEWIOMkT3bJEvErR2tHhY6ao15JEyoFpkkdm\nK0xWPd5yamsP5d1CyTMRfolOEA5Vl4IwYrG+zlihtOvqrhAiP7xZuyg2bUbB9ChaHtPF7b87t4sH\nDx5AKclEubt+vWn6FG+fe2jHfVJAPoTd2WMiZIZsHEGEJkt2+haGnXbfjKUMvQW9QQfCo2PzCMAs\nr5OQ5Fa8ekqWSp7bl25WcMzcspqp7U5F0XzoKO7YOPVXzqXptptseEKSZImid5Es9SpL0tw6bHgU\nTs2P8S//6/fy8Mm9fecsw0CgFZs4Tmh1QgyvSZzEzJW3FkRAn4Vs2+Cl6UO8OjmJbdnabicEj795\nmu9/bJ5Gx+dr317iv/ntv+IX/7sv8D/8/jf47JcvsrTaplzQDh69vmqyFCVxHl+eFcorrr4HM4sl\nZMqS2Db58m6jV1nKi+my/x7Zl/Ytra/BUfNhRLu6JzK7GZlNczfzuO4Esn3bSItNjmmPHKMwcqX9\n/d///S1/J4R4w0SHyyRBJLH2/KYHQxElBGtrelDikA1DKJkrS1LJXH7dHPAQpBafjp1+IZwSMuhJ\n+TBN6AzpWUqVJTo+pmEgpNQ2vHQgZpQ+53a+9MlKkatFk5iYpBMg6FZ3MhvSW46P864ffQhgqLIk\nTAvHdHj82IMYrSLWzVWUlCRC0AkiwihmZX34jKUMjm2y7Ec00sW+MIQsjZUdbNsmq9EYO9z0i8eO\n0r55a1eqUoaKW+BK+wamSnJlybJu/zCrJ34rCq65Jcr59QK714Zn6hQsZeoABGWovM9tN3BTMtIZ\nYcvthAEkIvdl9zaPjjrwzI6XuHwrYaOl7Q7SsvKm0BVZxLEMFppLnDhYI1q2ePrlBazEyV8n6PUq\nGtdFkaLlMVnzMAzFan1rZPggKNNESGij8KOQQEmUlBjF4tDDQP4dvAdkqWTrTXmt1cQWIZ3A3xLP\nvRsIIVCeh1hezdeP9o0brHzzaYLVVabHPC6P7x/YezYsMbEZ6AND6G+nLAmkGNwnCughwUmSz1vL\nZivtNHJ3pthVJgZd+0988DR/5/2nbmt20m5R8ixku4IfLPHy0nl9mN50j529vERMxOz4ztI6NyNz\nKgwitzuFoQy+78R79vz4nWJ+fIYfePQ4xye7jf7jXo1xb3ev/ejYPJVmKVeY9oos1jlI9GDgdNsn\n9DtYQg0gSz2hMQPW2ILlMVue5nJ8A2XH+bylpp/auzw3n/kF2sVg5Xtq2rdmhWAaTD35PURf/hbB\n+vqWXiElVa4sqV32Ee0GvQl8u7XgZbid75uUCikFYRTR9kMgIbbWAY+5ymCyZEilD/4iBhFjm2Ze\n0PPjgPe9Y45O9RCWP0FjocoLF5b51tlbfOusbgfIIs3d1IYXhLG24QXd6HDoxtavtbYqS68XshTE\n/efDDFmP1bXFBr6vC5COfftkySgU8FdWbisNby/IXBAq/UykkLzz4Fu5dna4EDRy9/zCF75why7v\n3kEmMcvrOiJZSUGyvgFJgjU+vDFeSEUSB4g4AdGThrdZWdrQZKmRftYVu5THOQOodPE0BvQsCdPU\nz+N3SAyJ61lcaQbE6WVlPUvbVUktZZEoSRRHxB09QFfmi6Kx5Zr9cBNZ6lGWQHt6l8tr1G+uopQg\nFvrLv7SmZywN61fK4NkmcTthvZUpS8MPLuM1Dy5kCs/Ovizu/v36ALqHBbVWKHClDZERkxia9Dru\nnbGR/Oh7jlN8nRIl0FHlGZRhIaVCmQpEgLSNvNq8G7jpvT0q4MEPQ02WrK1kadSg1H3jej7WUtrg\nnM1IiNptFqXHhG2w0FhCCMEv/MCj/PPf+QZ/+cIGpmn2h4bkZKmAkoLZ8QKXbq5jm0auug6DNEyE\ngGYiCaJuz9J2EciZBfBekKVyuhFstFpUnCAf/Oo6e7dNFMo1xM3LXLt8Dm4+T/v6dRCCwuFDuPed\nJLz0xYH3UEaQ20G/pSybZB900j6UTUTu9KExSgUbNzEH9okCxJt6NLO48O0G0va9JsujbBdZ79SH\nDnV+LYkSaOufSAyssMqG3+B6/dYWL/7zl3VgyaHJvaVoZp/TnagM320YyuAjD37gtntsDtcO5Omj\nt4PsPgmFIIrjXFmK2h2kkFsIUW8I0TBF59jYIa6u32Rqf4crr+pglpwsFbw+Zcm1DZwsDEXEeI5J\niP7ZcrmG+Z4nWf7q1/Dm+1+rkiqfOyfvYn9M7+vfbbjDnYASWo2O4ohmOyQREZHZoGJPU7YHuz5M\naWCbiiQlS47RTYPzo4Bm0MKxDR6an+XEO/R8psXVFi+cX+alSys8dEIXXQr56JRIz4/M+mzTeyAL\nOMpcN5AqSwiM1wFZulVfyu/vzcWj2Um9111bbGCka+KdsOFV3/wQ5TP33VW1cxDc2X1UH36I4pFu\nX9y+0hTXGE6WRn5CV69e5Zd+6Zf4yZ/8SQA++clPcuHChdu/2tcQRhyystE9bLGiCc62MaZSaj98\nGk2bD5jbZAnJk/AMfegvO/02PMMa3rOkD34paYljXNckSRKavj4c5MrSNkEGljKJlV646ejkJtLN\nUEkFUpD0DGgL4kB7q1PbSU6Weha23M8pBQlaWRoVG57BS0lPNieiss38nrFaEdJBusYOyZJQiskn\nn2DiXe/a0c/3PV9mRZMhgRliCEXJ2/l08u3wwXcc2lNs52sFq9AlS4Zp6sO+ZQAJyjT2FCWbfdad\ncCdkSeaHsz6yNCLBJostXV7rzg1Stk0UJWxYRRxHsdBYpmh5zNQq/PwPd4cqGoZC2jZGqYRM0/4y\nO86+dPE/fXhspGVLmRZSQBMdEewbBkoKjG2Ga2Zk6V7Y8DK7x0a7RTvu6IbcaO/KEsD42AxKSBb/\n7Au0rl3DmZ5i5nvfx/ijbydOiwSbZyxBb2Ji/7rZDJqY0mBpzafgmls+g4mqy09/6AEKrjk8DS+f\nt9bfs7SbYY6ZumTK10eho5g2uKu2JkJnF1/d8jNnr+qK9vHZvVmVSumaXNlDAua9wN0KI9gLsj6v\nMEl7lqS2w8VBgBJyy+DZfhve4HtsqjBB2S5SrHVIRMDZSyu0UrJU8dw89AC0AuvYJgJIhC5e1v2G\nVkcMG+W6TD7xON7cXN9zGKJHWbqN/pBRuBPK0u1ACa36B1FEsx2QWA0MxVBVCfS65VgKRKSVJcvM\nFUg/DHIVvNcFMVF1efzh/fzsh+/nrad1McPLR6fERHHXhpfNl6sV9bqcWSxBz1kSyb3tWXJNh4OV\nWVbaa9xqLCGF3HIeqJUcLFNxfbFOy9ev604EPCjbxizvvNfoTkEoRfnUyV31So38hD7xiU/w4Q9/\nOE9jOXToEP/4H//jvV/lPYBMtIUss+HFq5rgWGPbKEtKIeK0gbgvOry/yhlubIAQrKsAx9BpO70f\ngNomDQ+6PuYoifOG+2hTGt62ypJhkkhJlEQkGfHJKkhCkihF0mOT8qMAS3W9xHmfU2+fVa6GyTQN\nL2JpTS8YkyOVJf0FygZhDgt4AJio6QOrEGDYO19YrVptV/M6MkymX8rErpOYgqJd2JP97I0Is1DI\nq5zK0pH1hqVT3pRj5oPidoNMWfKD7W14fhQgEoll6uffjbI0M64J7mq9W40rnTyBeew4oTJRlk8Q\nh3kK3pkj47zjlP6cbVMx+fhjTDz2rlztLZh6w5pLUwtH9SsBGIfnuDU9xpow8IOQDccmuv/UtuEc\nRsEDITCHRIvfTWQVzHqnRSfyCaL4tnqWAJxajbJTouMoxNvuZ/LdT+YR/vmskAHqTDaLq1d9TJKE\nht9CRCaLKy2OHxis7KltxjXo503Xu3RjPzU/xtG5Km85vXMSMVPSP7ubGR13E7apMA1Fp2UwVRjn\nVmOJ1Z7J8kmScOHWEq5tMFPbW6Hn2P4a3//Ow0xWdjfw87sAK1eWUhue0gNQRRgh5YCepZ5D5zCl\nRQjBsbFDjFVsYmeNly4s0wo6SBSubfYpS55jYkoDw1Bop4dD3W9SsoZbgkEXTuN0j72bCZ3ZQG7Q\n1v7XGpkNL4pjmu2Q2NrANBRz5ZmhjzGUgW2p9HyoP2MltXugE/lcWddJepURAQKuY0AiCdOAhzDs\nT8OreAWEEHk6KaRWYrinNjzQw52rji7+DToLSCnYN17g+lKTVtp/au9yztIbHSM/oTAMeeqpp/Iv\n4tve9ra7flF3GiqOUmUpteGtrKMcB1UYvlnIVFkC7TuWQ5WlDaTnUo/alG39ZRKmqRkAoLIFaoid\nQ9hdspRVoaL0R0MpINm5DS9TlrLfo/9b9tvwIr+vitpVlnrIUo+ylKXhZcrSeHX7hTZL6vEjH9NQ\n2Nv44ifHSgihZ3+I2/DP7xSTaTxwonywFCW78JrLv/cKQghE6nU3TE2ObMcAEWO65rbq5TDsVFkK\nIq0sWbmy1N1ERylL+f0UdosUxWNHUcdP6T+YmpT3zpp69GSRH3vfST7wjkPYkxNY1Uq+YRVtTdDf\n/dYD/Mi7j/P4DpLOrGqV5ZkJEhHRDkIQAjm7b9um1NLJE8x84P0YxdeeLNXSwZsNv0079nMb3m7n\nYvSieOwo8x/4II23n+K6G/QdzLI48UEhCdln3kuWgkhHkK+u6890mA0yI0HxEBtelNnw0uJQuWDx\nT/7TRzk1v3N72nRhgifmH+Ho2KEdP+Zuo+iZ1Js+Jya05efs0vn8/11fatAKWoyVHYrm3siOFBLT\nVHv6zv9NR6YsBXFCHCeYUhcLRBCmNrzdK0sA89X9TFWL4K3ywsVl2oGvB/8KkacyglaWpJRYhgQR\nU60owjiiaG9/Lygh8Q/P0Hz4WB6XfLeQq+r3SFnqteFhtPEsJz+bDULesyQjlEwwpE4RtpTJanud\nxeYKs6VpSkNsfBkKqcIeREkaHZ72LKks8t7CNhUNfxNZusfKEuj34F0H34pjWLhq8L42O1kkDCOu\n3KrverzKdwJGvtogCFhfX883x5dffplOp3PXL+xOQiV6sBgiwQxCaLexxse3l/eVQoRdm0e2cff6\n56NOh7jTIUgrP1nlQaRJWUCe8jbMk9o7uTh/DtGbhifyAZiDYCmTRAqiJCbxAwSiP/zAMHJlKUmS\nXFnKEAe+rgb1Luo5WZKpDS9mYYc2vEJ6uEXGWKbMJeiB126blD0LzzFfE9IyXnYhTomkZVE0C3c1\nRvV1h3STNE2tLNVqHodmS9RqhT0pSxlZ8qPhylKcpQINsOEJRkf5Zg3V8aZglWZbP2ekdOLbpNcl\nS1IKPvjOwxyY7m6QWUBLdsAseRYffuJofpjf/hpMXWQRMc10Zoo5wvcvTXNo0ubdRq1QgETQDNp0\nYp8wijHl9imWoyCUYubAMYpOkavrN/J5HJD57gfb8LLExHaPFbiR2loWFvXvGBYa011zR9nw9k4C\nhRDMlKa2NDTfS5Rci41mwL7iFCWrwKW1a7QDfcB6+dIqifIZrzh41t7Jkv7336zK8J2AlfbgddJC\nqiUS/DhAhBFKqAE2vN6Ah+FKi6lMjo4fpFpRXFi+Rsv38wGoRbenuGQbKKEwTQkiIavFjIpwV1KR\nWCbRWGlP/am7QU6W7sHeKoVECT1wvtEOSEREwRo+yw+0Bde2DBIZImU3LdJWVr7v3Dd5fORze46B\nQBCGCVHSJUtZ3LwhDWzDoBV0z89R2rN0r5Ul0Bb19x97kvuKg4fbZol49aZ/W4W3NypGfkK/+Iu/\nyEc+8hGee+45PvShD/HRj36UX/7lX34tru2OQcURrXQoot1sAQJrfPvqY29jppASpbaGJYRpEl7b\nSWXWnupFJscXirpyPszf2esfFqobS9r772EWPsh6llJlKUm0gtBzkBNK5dccxiFxkvRV9mN/6/Tk\n7M/KUCAEQaosCSF6ZpkMhtezWViGGniAyp9HGeybLLJ/qtg/n+EuYazsIGJ9PQW3om0T93AY3GuN\n+ORBWmfmMSwbJRTCULpqaao9baB2Gg0bbEPAKNbGAAAgAElEQVSWwjjScyl6lKWsedQxnHxe0TBk\n1e+4Z7YF6CjqhARfNiha3sihcpYyUULuKm44gyk1WULENNuaLNmv4/vGsQ0kBu2gQzvuEPjDh0Pv\nBkIIDlXnCOOIq+s38r/PiNPAnqX0cOn3KEtZbPi1mz6WqTi0b3DvV6bmR8OUpfR3yu+wCmfRM+n4\nIWGUcHz8MHES88ryRQDOXl4BGTBTK++Z4Mkd9MJ+F4ORDQ9tpXZ8UyapsqRteFsCHnaoLAEcG5tn\nouISOUuESYiTWkOzNDzTUBhKooRMi0gJbkGvi6UdkKX8OkZEJN8uMpJ0O7Nz9gohBEpKwjim0QpA\nxrgjZimaMrXhyVD3osr+IKLpwgRj3tb5TJuRJXoGQZL2LPUrS0IIHNMmiHQBC7rK0uuBLAHYhjX0\nzJb1DwO4d6Bf6Y2Gka/40Ucf5dOf/jRnz57FsiwOHz6M/Rpnot8uVJLRjgSn0UYIb2TPi+xZXISU\nufe4V1kKNnTvUzNdA3uHYknbgjq89f79VA8f5NSw6mlPtLYmDO20VynRQ2njaISyZHV7lvQYx36i\npxRJ2M5VJdB9ThniINhiJ8oDHtLDbWbDq5XskdXp3kQ4yxw8vyS/tj4/990nS7WyA7EBdKiWJiCK\n/kYpS7JSJnRE7sfO7xtD7SngQQmJISXBNtHhYRwSRQkCmW8IptJzirwdzDwxhihLrU4IqoOUcZ8F\nbxgemrmPTuSPJGeDoD3sAmSUR2Bvp5jeawghsJVFO2zTCk2aTcGhsTvTn3Kwup9v3zrLhdUrHErT\nxcJ4eM9Spiz5PfdI02/pNWUp4P656tA1RY1SltK/l6/jz2IvyEIe6i2fQ9U5vn3rJV5aOM+zT0f8\n5bPXMMZj9tVGH96GISdLd/nQ/J2ITCXoxDEOYEp6lCVrK0FI7+HekKhhKDsljk3PcvbycwB4VqYs\n6e9QZvNSUve1IRIsJ4JotLJk9KiI38nKEqT9WUmQp855I8aDSCnxLJNEhCjZXXcysnp68tiOnjcj\ns5mylA3G7X2/Xcsmkes0WgGVop0WgsRrnrq5F8xOdm2If9P6lWAbsvSbv/mb2z7wYx/72B2/mLuF\nnCyJBLPjI0wPs7r9ZtO7sPUHPGxVlhqWru70KUvpQuF4Dm85MFzF6lWWVEosOhNjVI7sY/3rX4X1\n9Xzi+iAYUisEUezrCcuq34YnDIMkSUjCMK8AZxWTJEmIfX9LE3qWeW+kVeFmJ2Rlo8PxA6M36NyG\nx2hlyVCKREpEHPfHPN8l2KbCVQWacYuJsVlYuHxPop3vFbJNQAmpCbiSxEmiydIeDk7ZgMtgSAM+\nZMpSDImR2/CkkDw69+aR4Q6QkqUkDUDpQbsTkZhNDEP2WfCGoeru3RJnKlPPphFxrlDfzkDP1wKO\nYdMM2zQ6AkKDmfE7E5FftApMemMsNJZo+i08y93ehmdnAQ9dstQImiyttRCxzclt+ou6PUtD5ixl\nPUt3+fD3WqOU9qjUmwHVok1nrchnn/0mwdIq46UJjp2Zymdp7QXquza8PSNTSluRJkuWSPKeJeVs\ntXtlNjyxwwGt7zx6mj/52nMkkCsiWc9SFv2vhGRuqkhBmNhuDHU9P2479BbD9lIY2w2yvfy1np2T\nQd/fCSt1rWAXh8x67IVrW4zXLEwR5OTmzNRJ9pdmdlSMy+A5JkGgi3v5utizVxQsB4S+tlLBJE4S\n7fJ4HSU+DsP0mIcUgjhJ7khs+BsNQ09IYRgShiHnzp3jC1/4Auvr66yurvK5z32OK1euvJbXeNtQ\ncVdZUmGEGDBpezN6vcZSyrx62acspWRpzYjwTLcvmz7rRRpVXelVdVRakQlNReX+M8RCaFvdiC+S\nNMxcWdpcvRKGJEHbB7sDafVrT8Iwnfa9yWedDshVaTPrjaUmSTJ6xhJAocdfbRrbK0tSSEgthq9V\nFWrKPIixcpTaiZNMPP4Y9tTk6Ad9hyDbBFTag5dkKovaGhW6899p5MrCIIRxmNvwzJ7+oLnKvh0N\nltSqqsjTODM0OwGJ0cZQkvEdWCRuB92epYhWkKmzr+/NwjUd/DCm5eskvH0Td4YsAcxX50iAi2t6\nH9gu4ME1s6bnHrLkt1hcbUNkcnKbGVfdUJ1hc5bSOSavc+K6W2RR0S9eWOa//d2v8sd/uowfxNz/\nJsV/9dMPMTXm5RH4e8F3bXh7R2YlbkfpyAuR5Gl4xgC7V+by2Kkl7dD4LGNFXXTNrLOubeDaJtVS\neqaQitnJIu97+8E8gt8e0fsphSQ7ReylP3U3yMKa7sWcJUjJoEhYS8eX7MSCbEqDxx+aY37Szos+\nZbvIwer+XREZzzHwAx0dHob9PUsAxTSJcKWuz1RRHN918nqnYCjJZE2vO3ciNvyNhqGv+OMf/3j+\n709+8pP5hhQEwRuuZyltKSIRoOIYuYMqT1+1UvbYlHqqnOHGOrGStETIPru/+lA8ehhpmRgjooN7\nYzxVNig2XYijtAdpFKRhEsVRqixtIksqU5a6ZCk71MRB/0Da/DFCoFwXI53mfHWhDoyODQfdnJzB\nNs1tbU9KSD3PSsR9lry7ifGyy9VbdQoFB2+bocTfibANSydhSUMT6HTjjy1zzwu2qRStbQJfwjgi\ninT1bC9Wg6xfb3MiWqsTkogE05B9PXh3A5ZM0wJFTMcPwOpWmF+v8CyHpJHQ6ESIyGTfHVKWQBPd\nb17/NhdXr3Jq4tiWeSK9cKzMhtddN5tBk+U1HyVNjs4NV/yyezIaolxGqbVvlL3pjYbMdvV7//4F\nAB4+sZ/7HppkLVrkyoYmqIU9JuEBuVPhuza83SOLDu+k6ZymSHv2gghjgEshuzd3mgwnheTU5GG+\nVH8mP1gLIfgHP/XWdI5P93OL4oi636Bsl0aeE3Qvj07Ou9skWd7DNDzQe1IiElYbWlkq7SD9z1QG\npG2Vt2NT9ByToJkQxmGuLGUJigBFR1/LarNJnMTEcfKGKvbMTha4udzAsd8413ynMHLHv3jxYl9V\nVwjBtWvX7upF3WnU3OyDTVBRvKMqT78NT+VKU/ZeJFFEWG8QFnRM+OYMfmdmBmdmeLZ/hn5lSS8u\nmeUoSZJt+5W6j9OpLQndkIj82g2DmIQ4DPFj3ZyeHS7z2PAB78f4O95OstqCs89zc1kvOjtRlopu\n9/W4IxZL3TcjwNi7srFbPHh8guX19q4GV36n4KGZM5wYP6KTkZKEcKJC68w84WS1z9O+G5iGQRjr\nKtmgDTuMAqI4HtjPshNIISARRJuUpVZHDxA0lLzrHnxTGZq0yYh2oMnS611ZKqQ+/Y1WDHdYWbKU\nyf7yDJfWrrHSWiOM+4swveiSpW4i52qrwepaxOnZ6rZphFkk+Oiepe+sjXs8XWenah5/9wOneOjE\nFMutVf7s3Be5sJqSpdtQljJl4bs2vN0jt+FlFisR4wcdRBxjDphflJOlXTgnnjrzAF9+9ib37z+S\n/93h2W5RIVOJGkGTKIlHxoZnUEIREt11ZckoFkAIlHdv5nhpMhiz0dIJksUdKEu9FuLbeX88xyCu\ngx9FBHH/nCWAspuSpUaDOElSG97r34KXYXaiyDdfuvXdnqVBeOKJJ3j/+9/PmTNnkFLy/PPP89RT\nT70W13bHULZlWjVIkGG0o4pHvw1PpNKuIElTTMJGkySOaacMe7sc/+1g9DQf5mQpTf6KkxgxOrAQ\npbRSoP/Q//PSMAiThCQK8eP+gId8IO2AhdyenKTgdIDn86r++IjYcNApKUJo25Q7gpRKIQlmxhBR\nfNcTejK895F53vvI/GvyXK83uKaT9wkJIZCGIpzRPSN77fswpZ7V5Idx3pPUizCOCKOkz6K6G+gq\nuOD/Z+/Ow6SqzvyBf8+599bS+wK9QdMssm8CsiSIihg0aAwuxMiMTmKimcSYCdE4IcRf8uTJ86iJ\nOk8mjhrjMvII0YjBMcZgDIpbwKVlE0UQZIeGht67urru8vvj1q2uaqrpaqr7VnXX9/OP0ludurWd\n97zveY8Vr8GDMOHRlD5/7mgy3OBBGED4g9TjQvfGZGSHJ27NAQOa5U1ooaMnhhUMwYGGI9hXf+iM\ne5b8nYKlkBHC8bpmuwSvi6Y3DilPL32OZjp7lgZYg4epowdjxTdnY0RFXmRVushfYO8Vaz0FAMg+\ni66ODpbhnT2npCoU/sDVhIVQmz0pV88ULPWgM9y4qkH4/X9c2+W+ECdL1Nwezpx009zBoUgFMPq+\nwUPuuLHIGlYJNbv3Fmh6QlXsw9ab2tqgZsuEDpyOfu860z7r7mT5NMCyOwiHIod1d1zv/HAA2RAI\nhDNLgKeflOEBHe3D2Q0vjmXLluGqq67Crl27YFkWbrvtNowaFb8PezqyhECezw6WBExIy4o526gr\nMd3wFHsDniVFZDUz1Gh3wgt47FWBgm5Od+6K5u94g1XD5yo4wYllIaHMkvN79lg7ZZYUBRYsmCEd\n7Yht8HCmzBJgd7OLlsiES5EKPKpEMGTEtBGPRwqJ9pHlkf8nd0khYVrOCunZvWF7VPuDqbWtHd44\nEzh7z5KJnLOc0AohIGBvKo3mBEs+zdPnm2Ojz1kS4WUJLc2zGXl++0PZMC0Mycvr9QMEy7IHw6d6\ncLDhSOTk93iZJVWxyy+dJiCtoYB9DEECwZKTbe7qUNrInqV+NNlIhCJF3IN6xwwaiRMH7GDpbM9Y\nAjo+U/o6wzAQqVKxDz0Nv+WoAggF7b0xcTNL4YC0p4euZ/m6r8pwDhfprhOeI3rPal+SmgaZn5oz\n5gBAlfYZVCEjBK8qE1qoiwmWknhv93kUwJLQDRO6cXqX0IJwsNQUDpbsqov+M/cZXVkARZExnfEy\nRbePUjAYxGeffYampiY0NTVh8+bNWLNmjRtj6xWGoiFb2hMcxTQgRGK1tCKqzlSEWy0LKSKrnHqT\n3dyh2WNBAN2e7tyV6D1LmhYns5RQsBTVWKJTv36h2lknMxQ6rcGD2d51ZglApxIZgeJuzlgCwqfD\nh8eQ1U1QGr2ymUhQSL0rOkA921VmpxyttT0U9/vOnqVkytacDjzRAm3hYMmFuni7Va8azixZdqY5\nzYN7J1iCqaCiOP45RsmQUmJY/hAEjXacaD0FgfiTMEVIKIqMrLK2hAKobQhAmBrOGXrmxhwdDR66\n2LNk6jE/N9CV55Ygz5uDPG9OUtkBGSnDS+/ncDqS4U6iZvjSqTCht9l7NjXf6YtFPd2zlKjoQDfH\nm1iw1JFRHNivl0hwInW7yVQCC3XRP5NMZsnnCR9Ma5gde8Sj5pKFOfZj1dQW6Niz1I8ej7LibPzu\n9vm4aPrQVA/Fdd0+K771rW9BSokhQ4bEfP3aa6/ts0H1Ks0Drwivnps6BASUHmaWIq27hQTCZXih\nxiZYloVG1UCut+DsN8hrnkj7bCWcITLMnu1ZUqUGS1UgdOO0zJKz2dLQQ2hXYjNLrQcP2r+fFz8r\npioSUkqYponCvO7PWALsSZSmKUAghOxuWnZGf1jzg9t9scHS2WaWws+ltvhNHpxueJ4kJgtCyrhl\neEJYrh0O61U1QJqAMCHDZTDpLD8SLPXufqVoVQVDsevk5zAtE5pU4y7sOI09nMxSQ6AZdU1BDC0s\n6Hb1PHIQeKdA2WFFuuFlRkmIFBLzR3wRFuJfj578HYBleGdDCglFCujhp7oCC3qwDQLxy/AQ6YbX\ny8FS1GPX48zSAM8oRhYSpJFwA6DoxYezrbIAAL9XASwBXbc69nJGLeYUhYOllmBbVLDUv16HziHJ\nmabbTxld1/HMM8+4MZY+ITQPvMIELAuK5WSWEmjwIJXT/j960qY3NUK3DAQ9EoPPcr8SYAcX0BQg\naELTYoMl07ISCiJUodh7lXQjJiMGdGySNvUQ2hFu8CA1BGtPInD4CLyDB8M7uOv22V5NIhA0MSiB\n/UoAICDgC2+C7e58g+g3bQZL7ovOjpztB4QTrAS6yCwF9RAsy0pqj4+EOO1Q2rZ2HaoGaNKdN26v\n6oElDAg4maX0nnDkZfkh2/Jgtmm9dsZSZwW+POR7c9EQbOpy9VYIAVWRCLXbgc2eo7WwLAujh5R0\n+/cjZXhddMNzylxkmjfb6E1eNfnOj87kLN2fw+lICGEvIEYySxaC7W32okCcRgLOXEOJk3VKhvPY\naVKFN8FuoM7vpPtCT7KcMjpLhqCpCjwJZIq0mD1LZ399vB4VgF2G1+4cqRA1J8vz+SGlQGuwDSHD\nbsqVTNkfuafbGeo555yDuro6N8bSNzwaPJoC1dShmoa9OTKBw9KiSzuc/xdSRkpCQo1NCHntIKVz\nJ7yeUIUCKxxcaGrsSqqZYOtwVaiwnMPvOr3QhVPaFy7Ds2uuJRq2bwcA5E+ZdMbbcErxEmkbDtgf\nJpNHDcLsieXdBkvRWTMGS+6LyeyddWbpzMGS83VfEudo2WV4sV9rCYagqqLPNys7fJoGCBNWuAzv\nTC3x00GOX4PSXAERKEB5cd90pRJCoKrALsfoqnTFObjYOc1+b81JAMDEqtLu/760u351zio6mtua\nISCQneDKOtmc1326P4fTkRDhElwBmEJCESaMYNA+izHOe5y/vAyD5s1FVtWwXh2HE/DmerMT3rPp\nBEnJZE76g0jwIQ1oSqJ7lrSo/z/7xZdIZil6z1JUsKQqKryqikAoGMm296c9S5ms22fFsWPHsHDh\nQowaNSqmH/yqVav6dGC9RXq98HrsEjzFNCAF4q4AnfZ7yumZJUgJy7BgBIMwg0EEc+2v5yeVWVIQ\nKiuEbPHDq6h2m+RIGZ7ZUQJ4BppUoDvBUucyPMUpw9PRroTgUTxoqzmOtmM18JWVwldy5hVeJ1jq\nSTet/Gwfsvxqt286MiazxD1LbpO9kVkKTxAC4f1vnQXDZ3l5k8gsCXF6ZinQFoJaIJL6YOsJn+oF\nhAUIA1KItJ9wRJdK9FVmCQCqCoZge80nZyx1URUFhhmCaVo4WHsKsCQmVHWfWRJS2o+9cXqwZFom\nWtpakKt6Miqz1BvyvblQpZJw+RbFcs5cM4WEtEzo7UH4hYSMswgrFAVZQ3t/f4fz2dmTx7CjwcPA\nnpx7nMyS0OHRchLKpMWU4SWbWXKCpfCid3RmSwgBn+pFcyCI9pAdTA30TN9A0e2nzC233OLGOPqM\n9Hjg1Qw7s2QZdv//BMrwYrrhOR1tpARCIeiNdnOHgMf+el6SmaX28CprthUuO4nKLCVWhqcCzkbS\nThMHJfxvUw8hpIaQrfnRsP0jAED+5Mnd/m2nHXRxD4IlZ8zdB0tRmaUB/gaejpwPTSnOPlPiBEFd\nZpbC7em9SWWWJCxLj/zbsiy0hdqRq0jXShgimTGp94vMkhMseTWJvOy+O7TXr/kwt2qmHUx2QVMU\nQATR1q7jeEMjCvw5yM/pfsEKUkJAxG0d3tzeCtPQ4VO9kfdnSszQ/HJU5Jam/XM4XSnhTnSGlFAs\nA2YwZDd+0Pr2cOxozoQ+pwddEZ29ymd7jEN/ETkcW5rwJ/i5E11GnEzw4o8qw4scStvpSA2/5kVd\nSwsCwVB4vAyW+oNu3y1nzZqF1tZW7Nq1C7NmzUJZWRlmzpzpxth6heL12h1RLANauE2y4kmgq1tU\n0BH5MJYSlmkiFO6E1+KxoAjZozes024n6gPLOR08usFDIgkXVSgdZXidXnhOaYDeHkTI1OGpb0Xw\nxAn4KyrgHVTc7d92OtslWoYHdEzCu+tCE33fWYbnvshG7ySyJE4Q0RbqYs9S+OuJfmjFIztlloLt\nBizYm3fd2nfhC5/VYUkdihBp/3zN8WsQQqA4J37jhd5UkVuKIn/Xne00RYUFCzs+Pw7dCmFI8Zm7\n4DmEEBBCxu2GVx9oAEzLDtI46e8xBkpnzz5z0YIpJGAaELphB0s9OEspWc77T44n8S684wePxvlV\nM5GVxBld/YEW1RHYl8AZS0CnQ2mTyiw5ZXgWDOv0c5YAIMvjA4SFk03Ncb9P6anbzNJvfvMb7N+/\nH0eOHMG//uu/4i9/+QtOnTqFu+66y43xJU36vBAiiFyPBYS7CCXyphbTDS886ReKBEwLemMjLMtC\nk2Yi15uT1MQpupzHftF0tEm2etDgwVKdzFKnYCk89mB7G2BZ0D47DCAX+ZMnJTS+synDSzSzxAYP\nqdUbXbGc1t1tZyrDs0RSLb6FEDCjOoAF2u224aoiXSvDixywLM1+sTFeUxV856rJqD22P9VDCWeW\nLGzecwQAMLyk+0UahwgvUHXWEGwCLIuZJXKdokj77EIhAUuH0HUoUolbhtdnYwg/53O8iS/URh9K\nPpBFl71lJRjAOg0e7NbwyXweKhDhMjznCJjOx2Y4B4bXNtrBksr3r36h20dp+/btePDBB5EdPo35\n1ltvxY4dO/p8YL1F9dlPzJJsFVnh56yayJ6lqKBDRsrwFFiWaTd3MEII+bSkmjsAsasYqqICVlQ3\nvHDnrW7/hlAiXfA6nzkiw2VS7e1BqLWNUBpbkFU5FJ6iMx8I6agYlI2CHF9CZyxFbjP8ZhPvkMrY\nn2ODh1RyJbOkhwBLdjqzq2fsMryoYCmowxIWNFW61uDBH/Whe7bNMNz2hckVqChybwLXFU2xDy7e\nsa8GADC6ouvum50JKU/brwYA9YFGCNOCl8ESuUwR0ZklHSJkQEoFwsW9c4W+AmRpvqT2Sw9Umhod\nLCU2b3EW3ZJdCPN7VQACum7an1kWTjtyJTfcGfFks12hxDK8/qHbV7czSXFKOQzDgNFFK9d0pIU7\nsl07rwof729Ae82RhM5Zim6UICKd5uysT6ihHkFpwfKoSb9ZiXBJj31WSTizZPYssySEgBIOijrv\nWZLhTnvt7W3wHD0KRfoTzioBwL9+eTyu+9LYhM5Yitxm+LnS3URWYYOHlIq0EE6qRtt+3gW7CJba\n9RBELwRLpmWFy1IFWsMH0mouZpaiD1ge6Buke5vdDcrCqZZGZA3SUF6YWBkeYL+3xcss1bc1witV\n+z2Gjwe5yP4stGBCQsCCCIag+nL6vNw12rjBozBu8CjXbq8/ie4+l5XAwjjQsc8p2UVbn1cFLHvP\nkj2PEzHjAYA8vx3A1bW2nDZeSl/dzjSmT5+O5cuX4/jx43jyySfx6quvYtasWW6MrVdofh8QADww\n4IGFdiTYDS96P014QiakAgsW9OYWtHsVQIikmjs4VKmg3TAj6Vr7sDITFhJrHQ4AqscLAx2ZpMjY\nw38zeKwGSnMAnrHnQMvPT3xsiuxRoAREleF1s5E0pnV190lO6mUd5ZLJBEt25qKrYClo6IAl4NXO\n/vGVQsCyLPv1AIG2YLgMz83Mkuax21hj4Lfe7W1OZslSQhiU70O2lnjpkJDKacFSmx5EQG9DoWqv\n0Aq23iUXdWSW7P/KthBkDyovqG95oha6sxMNliIH9iYZLDl7lkzLPu7CElA6VQflhQ8Mrw8HS259\nhlFyug2Wli1bhnXr1sHn8+HYsWP4xje+gYULF7oxtl6hhoMlIxiEFQrBUpWEXhDxGjwIKZ1tT2jz\n2S+A3kiDdwQXHXuWnFK8RDMuquaxg6XTyvDsyazeHgSEQPaEMUmPtzsy6sC8M/5cTIMHZpbc1htl\neJHMkq7H/X57b5ThSQHLCme5hV2G15FZcueDRlM0KIq9YsjMUs84i0CW0o7i/GxkeRLf/yjk6Zml\nhrZGAEC29AIIndbUhqgvqYoMB0vCPk7AsqC6uF+Jzix6j1CuL7Eg1pmrKEku2trdg+09S043484L\n3gXhLS3NbQEALMPrL7oNlurq6nDZZZfhsssui3zt0KFDGHqWZwfouo6f/OQnOHLkCBRFwd13333a\n33rxxRexcuVKKIqCr33ta7jmmmtgGAZWrFiBgwcPwjAM3HnnnZg+fXq3t+f1eyEUBWYwCIR0WJqS\nULYmOuhQooIlKxwtNWv2ikBvdJZxJnxeVQvvWbIiTR4SDSI0fxaCAESng2AVKWFJCd3UESovgi8/\nsb1KyUi0DC8ms8Q9S65TRPJleFnhSUJ7nGDJNE374L1e2rPklAS3BY2ozJI7ZXiaokKRArrBczF6\nKrLSq7SjtLAU3jOcydSZlAosPRgpwQTsEjwA8IUACAE1q28O3SWKx/lcM0XHfEBNcG8M9b2YYMmf\n+J4lr+JBqAfvTfEoioQmVeiGCcuK33UyP9ueM7a028ESy/D6hy5nqB988AHOP/98XHrppbjssstw\n4MABAMDTTz+NpUuXnvUNvvTSS8jPz8fq1avx7W9/G/fff3/M9wOBAB566CE89dRTWLlyJR577DE0\nNjbi//7v/5CVlYVVq1bhV7/6Fe6+++6Ebs+jKZBeL8xgO6xQCEJNrJWujJqEdXTDU2AhfCCiZiLf\nm9srdcqRhgiKAgG7TXJID2eWEmjwAABaZQVap50DrSR287QUElAldJgIjiiLnLXQlxJt8KAwWEqp\n3uiGFynD008vw9NNHYZhJR0sCdhleE5HvNZwgwfVxcySR2pQFPu1qDFY6hFPeN+kx2+iJC+vR++Z\nTjY/usmDEyx523So2VnMLJGrnEyAKezDaYGORlKUes77DZB4ZkkIgUtHX4jR2cOTvn2fR4s0eIi3\nvaAox2733hruIOvh+1e/0OVs9oEHHsBTTz2FUaNGYf369bjrrrtgmiby8/Px3HPPnfUNbty4EYsX\nLwYAzJs377QW5Fu3bsWUKVMi3fdmzpyJDz/8EF/96ldxxRVXAACKiorQ0NCQ0O2ZIgBDlRAtAVi6\nASsrsZWDmDI8JaoMD0BQb4eelYV8X15Cf6s7qlQg0LHCYJpWZHKQaBDh9XhhFOVC6XS2kRQSbaOH\nwFA0WD6PKwfSFfjy0BhshqebVRpmllLLKZdMpgzPySw5B+xF000DhmlCWDJyuPHZUKSwFylME1DC\ntyVMaKrqYmZJi6wSMrPUM97w5GVQvh/ZPTyTTkgJYdnvhwrs697Q1gjVBJSQCXVQ4ufMEPWGSKtn\ntaNTo+ZlsJQunEy2okj4enBQsE/1Jn56DrgAACAASURBVL1nCbCDtTbDgor4C5HFOfbc1mnkxTK8\n/qHLZ4aiKBg1yu62smDBAhw+fBg33ngjHnzwQZSWlp71DdbW1qKoqMi+cSmhKAr0qBKe6O8DQHFx\nMU6cOAFFUeAJr2I/9dRTkcCpO7tatuNg4DgswwBgQWiJTa6ig47InqXwC6lND8L0e5NuG+4Ylj8E\nwwsroSgSCGeWdKNnwZITmHQu25NCQi8rQmBwbvjn+j5Ymlw6DotGz+/24MPYzBL3LLkt0XLJM/Gq\nGvKyPTje0IKQHtslMzqzFH1QYM/Haf+uET6cNBA0AJjh1uHuBUtqOMvLYKlnBufbAVLF4Bxk92C/\nEhB+7zUtGOFJqWEaaAw2I9+wD91Vc9k6mdzlTG6lqnQES8wspQ2vJ7xnWpWuLA535tO08J6l+A0j\n/B5PzAIlM0v9Q5czjc6lEuXl5fjSl77Uoz/+3HPPYc2aNZG/ZVkWtm3bFvMzpmnG3Fb0eSrx/r1q\n1Sp8/PHHeOSRRxIag5AmgjLqb2mJvXhimg9EH0oLIOgRgCJ77YyDMYNGAgCaWtvDJSdWVLCUWBDh\nU+29Sp0nj51/341gSQiRWKkjM0sp5VxzmURmSZEKBuX78XlDELsP1WHC8EGR7+mmAd00AUtJKrPk\njFMPb/R3GjyoinSt2YIiZCRI4kpgz5QUZuPKeaMgpUBWDzrhAU4ZXkemvTHYDNOykGfa73NqDjNL\n5K5IsKQpkSBe8ya/d5l6hzc8X/Oo0pX5Tmc+TYMecA5NP/3zSQgBn+ZFS3srACRVok7uSXhZ9mz2\n5ixZsgRLliyJ+dry5ctRW1uLsWPHRjJKStTko7S0FBs2bIj8u6amBtOmTQNgB18bNmzAQw89FPM7\nZ1Jffwo19a3IqqtHfVsDmrIEqquru/29tpYmNDfZh4bt3PkpDh09iZrjx2E2NaHZo+HoEQt7Ap/h\noNyf0DgS0RayM0rNzc3Yum0bDMNAc1NTQuOt3VuDnHYPjuw6iGPicMfX2+twtOkIAPsx3Nq21dXz\nIM7EsiwcPWWPbUvblrMuB0vk+mSKnlyLg4FjONp6BLLOgHU0eFa3Z1kWcqFAFy1Y/c5f8JUTEyIB\ne32oCY2NTdD1POz69BPUHjm7LFBLSzMMw8CHm7cgz+vHgUN10M0QTtaewEfbPoJPOb09bF88J0LB\ndhiGgcb6hn71nEv1WPe3HkFN4CgAIK/Rh5YD9Qn/7smTJ9Ha1IjNmzfDp3hREzyJo81HkFvngXGk\nDjXFhZAtzd3+nVRfg3TCaxGrp9ej/tQpGIaBoNGOU6dOImAEsXffARxsj98RtD8YSM+JU23254Wu\nt2PH9h3wyp41bUj2WrS1NMGwDASCJoTQ4v+9kBk5r/TQwQOotlqTus3eNpCeD72ly9nL5s2bcdFF\nF0X+ffLkSVx00UWRrkTRAU1PzJ07F+vWrcPcuXPx2muvYfbs2THfnzp1Ku666y40NzdDCIHNmzdH\nuuA9++yzWLVqFbQEs0MAUDJ4MIp8bajwe9ByMghfRTlmzJjR7e+1NNajcfNbAIBJkyahuGQI2uv2\nob6+AUZ5MUYMq8IXxs3p2Z3vRjBkQH33A/j8HowbPxHK9vdRWJDf7Xirq6sx+7z4Z18dbTqOhv1t\nAACf6sF5487r1TEn6/OPjsECcN6E87ot24unuro6occzE/T0WuTU7kH7MQvjS8ZgYsnZt5Q/Z/xE\n3Pr71WhEO+oKAphXNQvZniwcaTyGVw7ugap4MH3aFBTnn93q6//tPoAToXpMmDgJpfkFeP2TaiiB\n/Rg6pBTnTTwPXjX2w7CvnhN/2v0xGoMnUTpocL95zqXD68N/PA/6cXuBZtbI81CUlfihtPpn23AK\nOiZPnYI8bw62HN2B5pPtGO/LgjT9KJ8zB1remfeOpsM1SBe8FrHO5npsaWzAxyePIys3B3m5+VBD\nAUyeei6yh1X20Sj71kB7TtQHGvF/ez9BSWEWZs2Y1aMy8964Fm/veR8HTuwGAGT5suL+veKdu9FS\nb8/LxpxzDmZMTJ8Dhgfa86EnzhQkdhksrVu3rk8Gs2jRIrzzzjtYunQpvF4v7rnnHgDAo48+itmz\nZ2Pq1Km4/fbbcdNNN0FKidtuuw05OTn4wx/+gIaGBtx8882RgO2JJ56Aqp55tVpVBPTwfgnLsiC6\n+XmHVE7vhuecFB/yaSjspRK8aPbhZeFzlsLpfZFkmVF0GV53DRdSQZEKdNNIm2xXJlF6ocEDABRk\n+zE8aywO1XyO+kAj1u99G+cPmxXV4EEk3eABiC3DE9KCIoWrB/pp4fcBVXFnn9RAEV0qmaX1bG+H\nUBTAtGCG96vVtzVCAPC2GQgJATXcCIjILU4jJqkqMCwDUsiEDrondyhS4oJpQ+3HJQXl/U6HWGcs\n8WRFtZrXEpyTUmp1+SgNGTKkT25QShm37fctt9wS+f+FCxeedvDtsmXLsGzZsh7fniIlDLVjIi48\nCe5Ziup975y5JHOyASFgFOb0WnOHaIoUkTa5zmZ2JckgInovUHetvFNBCgkpLAZLKeAE0r2x72f8\n8GIcercZg2Q56vSD2LBvI0pzBvVK6/DInqVw2UJ7yICqWpBSurrXzal/17hnqUc6gnIJr9qzSaWT\nbTZMuxVvfVsjcjzZMFuboGaxbTi5T4vsWZIwTdP+DOOhtGnDeb/xKIkdE9Pb/FFzzK4+W3OiGoJ4\neM5SvzDgd9WrioARlVlKtMFDdDc8ZwO8rChF04VTYGb7eq25QzS7MYKEaVrQ9Z41eOhK9GQyHTNL\ndrDEQCkVnL1Fmkx+E+z44XYHy6babMytmgkAONxYA8M0e6Ebnv38MEynI5oF+/gwdz8MGSydHec9\nKNuT1ePHSzgHgJoGAqE2tBsh5GvZMAIBNneglHBe/0q4wYMiJGQPtgZQ33IWWFI13/H7NMA680Jk\nrq+j0Q2Dpf5hwAdLiiJhaAosy4IFC9KTaBlexxPYaSahSAmEO+Ll9UFmCbAnhrFleL0YLKnp94Zu\nB0sD/mmYliryyjBryFQMzStL+m+NrSoCILBz/ylU5JZi/ogvwq/6YBgWPIonqaDG+fBzOkTqhgmp\nmEmXD/aUN/z6catd+UDhTBiytJ7vWXMee9MwUN9mn62XZ4TLIXMZLJH7Ipklj906XEoF0pN+C5GZ\nyim9S1Uljd+jRIIltYvPqDx/dGaJnyf9wYCfpSpSwNJUmJYJCxZEgm9qUsjIHiURzjJFT+r7IrNk\n34Z9zpJzYFmyE8LYPUvpFyxpUnV13wl1UKWC4YWVvbIHJ8evYVhpLj47WI+QbqDQn49LRp0Pb2AI\nvCK5SW3HOUt2sGSaFoSwXH/eOI0kNK4E9ojzHtbTA2mBjj2bhqmjvs3uTpqj21/jGUuUCk7rcFMN\nwQKgqVrCe6Gp7ylSgU/1INebmsUUr0eFM7XuqmlVflbHXku2Du8fBvwrXFMUmMI+u8iyANGD7IpQ\nJCzThFScQ2ntwCNL8/fZYWdSClgWIgd8JplY6nT4Wfqtfk2vmBTJolH/Nm54EQ7UNGLPoQaMG14E\nv+aDDObDm+RLxWnwYIaDJd00IaTleobHGz4N3sMGDz3iCQeZuZ6eN2OQ4YDYMAzUtzUCALLagTbw\njCVKDScTEFLtbmZZWbncc5tGpJC4bPT8LrM6fc3nVSAsAQtdn8lXkN2xcORloN0vDPjMUoE/z84Q\naUq4DK8HwVJ4VSByKC3sN8S+yioB9gs9ugzvbNppd/57jnTMLA3OLkZZzuBUD4N6gbNv6ZN9pyJf\naw+ZSXXCA6IbPHSU4dnBkrsfhjleu3TCz5KbHhmcVYTzq2ZiVFFVj39XRu1Zqm9rgEfRoATaAQAa\ny/AoBZzMcrtiB0vZ2WduXU/u8yha0nOns+XzqN3uWSqMCpbYDa9/GPCPUr4vD6cCDYBHg6UpPWvF\nLSUgRKQG1pm09UUnvI6bFDAtQNedbni91zq8NzbyE3VlbFUhAIFP9p3CVeGvBUMGCnOTa6uryNgy\nPMM0IKX7e4cuPXcKTENi3oSzP5MqEwkhUJFbena/G84qBkNBNLe3oiS7GPqRZkAIZpYoJZzMkqla\nEBDIyWKwRB38XhUIL6x3taBXlNuRZU92MZHcMeCDJW+49Mw7eTza8gPI6UHwIRQFlhCRFLsTeOT1\nYWZJERJ6BjV4oIEj269hWFku9hyy9y2pikR7yEi6JtsJlvRIGZ4BVQgoLmeWCrJ9uP6C9DrUeaBz\nMksNAbu5Q4EvH3rzCSh+P9uGU0pUFOdgWGkuhpblwavryBraN8esUP/k1RTAsj+zusosFWRn2dkn\nYbG7aj8x4MvwnAmVKCmCXlLQozbVQioQsiNYqsgrw5C8UlTklvTJWAF7FdYyrcjEMPnMUnqX4dHA\nMn54EXTDxGcHG6AbFizL6oUyvNg9S4apQwp3D6Sl1HCCpbrWOgBAvpoNozXAEjxKGU1VMX1cKYoK\n/Mi/4IvInzgx1UOiNOLzRnXD6yIQ0lQJTXoAS7BhUD8x8IOl8Ca/kKEDQI82YhpVpQhVdZSPFPjy\nMHfYzMiG5b6gSLt1uB4er+zNzFIaNniggWVceN/Szv2n0B6yS0l7O7NkWAaEYAvvTCDCzXWa2poB\nALkGO+FRakV/phb5C1M4EkpH0WV4Z1rs9itZkNCSnuOROwZ8sOSsPutmOPjoSaamsgz6yIq+GFaX\npJCwLPvgTaDrNG6iRJq3DqeBZeywjn1LHcFSktnRqGDJNC2YMCElM0uZwMksWZYFKSR8Qft9kfuV\nKFWiJ8BFWQUpHAmlI69HjZThnSlrNDx7LAabo90aFiVpwC/NOmV47UYIQEdHu0R4FQ8M0+iTcXVF\nSrsbnm46DR6SW3UQ4QYVhmXCwwYP1Mei9y01B+zXXNKZpagyPMO0AGGGy/AG/NtXxnOCJZgW8rw5\nMFtbAfBAWkodZ8HVo2hn1Q6fBjafR4GA3Tr8TJml/1hyHkI6j03pLwb8bMN5sp5NZmlO5XT3gyUh\nwpml8DlLvdD+UgoJIUTKWmlSZpkwvAgHjjXi489PAki+24/qZJYME4ZhAsIMl+ExszTQSafm37JQ\n4MuDfso+mFbNYRkepYbzOVrkL+D5SnQaVZH2ETDoes8SYJfr+ZNrFEsuGvCzZzV8RpKTWepJgwe/\n5kOO192VI0VKWJaFUPhMGaUX6lmlkNyvRK5x9i1t3V0LIPnMkjM5OT2zxGBpoHMyS8IJlprtvUtq\nDlf0KTVyPNnI8WRhWD674FF8TudhjQeYDxgD/pF0TnF2Mksiye5yfc3Z7Oc0pEh2zxIADC8cypIl\nco1z3tLO/fbhtL0VLOmmaR9MK0wIluFlhEg2PBwshZqaoWRlQfIgR0oRj6Jh0ZiLUz0MSmNeVUGr\naWeZaGAY8I9k5z1LPckspYJTNhgKb47vUUOKLkwtm4CJJTxIk9yR5dNQVZZrl8wB8CbZ4EENLyCY\nlgXDtGAJiw0eMkRkz5IF5KpZMFpb2TaciNKak1k6Uxke9S8ZEyxFMktpfpedsrt2w9mzlN7BHVE8\n48OleMCZOwIlwpkwG05mCSYkW4dnBGfPkl/xQGmzF7zYCY+I0pk3HCx5WIY3YKR35NALnDK8/pJZ\ncspOQnrvleERuW1cVLCUbIMH5zVghFuHswwvcyjhxzhPy4LeHG7uwDOWiCiNFaiDoTSXosDL1vID\nxYCfbXTOLPWXYMnJLPVGgwcit42tKoQQApZlJX3OkhLV4MHZsySl4EJCBvB5fCjPKUF50QjoTU5z\nB2aWiCh9ZXv9kG2F0Li3csAY8LMNJ1hyGiake4MH50yZkN57rcOJ3GbvW8oD0AvnLIUXDIyobniC\nZXiZQQgUZRUg15PV0QmPe5aIKI35vPZnnsrF7gFjwM/EnTK8UD/JLDkTQz2SWRrwDxENUBNG2KV4\nuVnJta1Xo7rhGUa4wQPL8DKCCD/2lmlBb3LOWGKwRETpyyk9V9gNb8AY8LMNIQSkEDAty/53mseH\nslMmTEnz4I6oK1deMArDy/Mwamh+Un/HyQ7HlOEJld3wMkF48cgyzXDbcD/bhhNRWvN77fcoVeH8\nbaBI78ihFwghoIiOSVW6Z5bUyDlLdttlluFRf+X3qpg9qTzpU+4jDR4sC4Zhl+EpUvZKW31Kb07Z\ntKXrMAIBZpWIKO0V5fkAAPk53hSPhHpLRizRKVKJKsNL7wmWE8zp4W54KoMlynCxe5ZMQFhQpJJ0\nEEb9gPN+2NQEWBbUHHbCI6L0dtH0oRhbVYghg7m4M1BkRLAUXa6T7hOsSOtw084scc8SZTo1qgzP\nMCwAJl8XGUI4mfbGRgDggbRElPYURWJoCRd2BpKMmHHEluGl9112JoEhNnggAtCxSdawrHA3PAtK\nmr+OqZc474fhYIlnLBERkdsyYsahRGeWkN6ZpUjJEc9ZIgLQ6Zwl04QFi4sIGcLZs2S0BgCwbTgR\nEbkvI2Yc0WV46d7goeMQXTZ4IAKiGzyEy/DCe5YoA3RaLFKzs1M0ECIiylQZMRPvX2V4nc9ZSu/g\njqivxWSWDBOAxcYnGSJ6j6ni90NqWgpHQ0REmSgjZhxKP2rwoEQdwAnwUDMiVXGCpag9SzyQNjNE\nBcVsG05ERKmQETPx2DK89L7LkZIjNnggAtDRPt+wTOi6AQhmljKFiHq/5n4lIiJKhYyYcfSnzJJ0\nyvDYOpwIQFQZnmUx45pposqQNXbCIyKiFMiIGUfMnqU074bnrJhbcIKl9B4vUV9TlY5zlnTDOayZ\nDR4yQUxmiWV4RESUAhkRLEWX7PSXMjzAAsBJIVF0Nzy7wQMzrhkjarGIZXhERJQKGTHjUKM2g6d7\nGZ5TXmQJO1hiZokyXUeDBxOhSGaJDR4ygWCDByIiSrGMCJaUftXgwQmOwsES92ZQhuto8GBFMksq\nXxeZIby4pfh8bBtOREQpkREzjug9S+meWYqU3UUySxnxEBF1KZJttSyETDuzpLE8NSM4e5ZUNncg\nIqIUyYiZeH9sHR7JLDFYogynRrrhmTCcPUsKg6VMIH1eSK8XvtKSVA+FiIgyVEYU/seU4aV5NzxF\nCY+Pe5aIAIQzS5aAaVoIhVuHawyWMoJUVQxZfGWkHI+IiMhtGRcs9ZsyvDBmlijTOWeP2Zkltg7P\nNILvgURElEIZ8Smkin5Uhqd0BHNCCIg0z4QR9TV7wUDEHEqrqQyWiIiIqO+ld+TQS/prZkmK9B8v\nUV9TpAAshIMlAwAzS0REROSOjAuW+l1micESZTi7DE/CjDqUlpklIiIicoPrkYOu67jjjjuwdOlS\n3HDDDTh06NBpP/Piiy/i2muvxXXXXYfnn38+5nu1tbWYNWsW3n///YRvM6YML83L2tSo+nwhwDI8\nIgBSCHvPUjizxAYPRERE5AbXg6WXXnoJ+fn5WL16Nb797W/j/vvvj/l+IBDAQw89hKeeegorV67E\nY489hsbGxsj3f/Ob36CysrJHt9mfyvCiGzpIZpaIANiv2+g9SyqDJSIiInKB68HSxo0bcckllwAA\n5s2bh+rq6pjvb926FVOmTEF2dja8Xi9mzpyJDz/8EACwadMm5OTkYMyYMT26zf5Uhqcq0ZklNngg\nAuyMMDNLRERE5DbXI4fa2loUFRXZNy4lFEWBrutxvw8AxcXFOHHiBEKhEP7nf/4Hy5Yt6/FtKuEA\nSaAfZJaUTmV4aT5eIjcIIWBZViRYYmaJiIiI3NCn5yw999xzWLNmTWTCb1kWtm3bFvMzpmnGBASW\nZcV83/n3o48+iq997WvIycmJ+3NdcTJXNaeO2f8OVp/px1PuaHMjDMOeEOohC1s2b4Emu3+YOmfo\nMkkm3/fOBuq1MHQdgbYQ6k379bHrk5046T3W5c8P1OtwNngteA2i8VrE4vXgNYjGa8FrEE+fBktL\nlizBkiVLYr62fPly1NbWYuzYsZGMkhK1SlxaWooNGzZE/l1TU4Np06Zh7dq1eOutt/D000/jwIED\n2L59O377299i1KhRZxzDjBkzAACHPjkJwzIwY8KMXrp3fWN/7XEoH20FAHi8GqZPnw6Pop3xd6qr\nqyP3M9Nk8n3vbCBfC+/7H0LRTPilH2pAxZQpU1CWMzjuzw7k69BTvBa8BtF4LWLxevAaROO1yOxr\ncKYg0fUyvLlz52LdunUAgNdeew2zZ8+O+f7UqVPx0Ucfobm5GS0tLdi8eTNmzJiB1atX45lnnsGz\nzz6Liy66CD//+c+7DZSiKVJJ+/1KQGwZnhTcsUQERHXDs0wI0VFaS0RERNSX+jSzFM+iRYvwzjvv\nYOnSpfB6vbjnnnsA2GV2s2fPxtSpU3H77bfjpptugpQSt912W6T0Lhk+1YOg3v3PpdpprcM5KSSC\nFBK6ZcEwTUgh+sXCBxEREfV/rgdLUkrcfffdp339lltuifz/woULsXDhwi7/Rrzf787sodNgWGaP\nf89tp3fDIyKndbgBA1IKZpaIiIjIFa4HS6mS600+O+UG5bTMEsMlIiEkLNOEaVmQkpklIiIicgdn\nHGkmtgyP5ywRAYAiBExYMCwDQtgZaiIiIqK+xhlHmhFSRLJJEoKZJSI45yyBe5aIiIjIVZxxpBkJ\nCRmOjyQDJSIAdibJtCyYlg4hBRTBQ2mJiIio7zFYSjdR+5SYVSKySSezZJmQggsJRERE5A4GS2lG\nQkCGU0ucEBLZ7GDJgmkZkIKZJSIiInIHg6U0I4SEiJTh8eEhAjoOoTUsM2ZfHxEREVFf4mw8zQh0\nZJScDBNRpnMOZ7ZgQIFksERERESuYLCUZoQQ3LNE1IkSXjiwhMm24UREROQazjrSjICIdMNjsERk\ni5SkCpPlqUREROQazjrSjBBs8EDUWaQkVViR/UtEREREfY2zjjQjog6i5Qo6kS36tcAyPCIiInIL\nZx1pRgjR0eCBmSUiALGvBbYNJyIiIrcwWEozdoMH+/+ZWSKyKVHZJJbhERERkVs460hDTpDE1uFE\ntujMEsvwiIiIyC2cdaQhluERxZKyo/ROZbBERERELuGsIw0xWCKKpUTvWZLcs0RERETuYLCUhiJl\neAyWiADElt5xzxIRERG5hbOONBQ5Z4nlRkQAYhs8qMwsERERkUs4G09DLMMjiqWwwQMRERGlAGcd\nacgJkgSDJSIAsQESM0tERETkFgZLaUiEJ4YKV9CJAABKVBt9ReHrgoiIiNzBWUcaUtjggShG9AHN\nzCwRERGRWxgspSE2eCCKFdvgga8LIiIicgdnHWko0joczCwRAbHBEstTiYiIyC2cdaQhZ38G92YQ\n2WIaPChqCkdCREREmYSz8TTE1uFEsXjOEhEREaUCg6U05EwMpWSwRAR0ND0BAFVhsERERETuYLCU\nhpzzlaIniESZTFE6Fg7Y4IGIiIjcwllHGnImgyzDI7KpkpklIiIich+DpTTklN+x6xeRTXLPEhER\nEaUAZ+NpqLI0DxWDclA+KCfVQyFKC9GZJY2ZJSIiInIJg6U0VJDjw6yJZcjxe1I9FKK0INnggYiI\niFKAwVIa4l4loliqwswSERERuY/BUhpj0ERkk2zwQERERCnAYCkNdZQcMVgiAgA1qgzPo6opHAkR\nERFlEgZLaUiEgyRmlohsisJueEREROQ+BktpqCNGYrBEBMS20ddUBktERETkDgZLaUgIZpaIoils\n8EBEREQpwGApDYlIRonBEhHQ6ZwlZpaIiIjIJQyW0hAzS0SxFMHMEhEREbnP9WBJ13XccccdWLp0\nKW644QYcOnTotJ958cUXce211+K6667D888/H/n6448/jsWLF2PJkiXYsWOHm8N2lWBGiSiGGpVN\n8ijshkdERETucH3W8dJLLyE/Px/33Xcf3njjDdx///34r//6r8j3A4EAHnroITz//PNQVRWLFy/G\nl770JRw/fhx/+9vfsHbtWuzcuRPr16/HxIkT3R6+K5hZIorFMjwiIiJKBdeDpY0bN2Lx4sUAgHnz\n5uGuu+6K+f7WrVsxZcoUZGdnAwBmzpyJ6upqfPbZZ/jyl78MIQTGjx+P8ePHuz101ziZJSFYJUkE\ndOqGxzI8IiIiconrs/Ha2loUFRXZNy4lFEWBrutxvw8AxcXFOHHiBA4fPoyTJ0/i+9//Pr75zW9i\n586dbg/dNU5miXklIpvqdMOzRMf/ExEREfWxPs0sPffcc1izZk1k8m9ZFrZt2xbzM6ZpRr7v/Ew0\ny7IghIBlWWhra8ODDz6I6upq/OxnP8OaNWv6cvgp05FZYrhEBEQ1eLAEpOTrgoiIiNzRp8HSkiVL\nsGTJkpivLV++HLW1tRg7dmwko6REldWUlpZiw4YNkX/X1NRg2rRpGDx4MEaOHAkAmDFjBo4cOZLQ\nGKqrq5O8F+7b03IAx9pOwFsv0HqgMaHf6Y/3s7dk8n3vbKBei7qWdhiGAWkJfPjhh93+/EC9DmeD\n14LXIBqvRSxeD16DaLwWvAbxuL5nae7cuVi3bh3mzp2L1157DbNnz475/tSpU3HXXXehubkZQghs\n3rwZK1asQEFBAf74xz9i0aJF2LNnD8rKyhK6vRkzZvTF3ehT4ogX4pSGcWXjMHbQqG5/vrq6ul/e\nz96Qyfe9s4F8LWobWqBsfxcqtG7v40C+Dj3Fa8FrEI3XIhavB69BNF6LzL4GZwoSXQ+WFi1ahHfe\neQdLly6F1+vFPffcAwB49NFHMXv2bEydOhW33347brrpJkgpcdtttyEnJwdTp07FW2+9hRtvvBHt\n7e34+c9/7vbQXeNU37GFOJHNafAg2fSEiIiIXOR6sCSlxN13333a12+55ZbI/y9cuBALFy487We+\n//3v9+nY0oUI993gniUimxou1WWwRERERG7izCMNMbNEFEtVpN3cgcESERERuYgzjzTEbnhEsRQp\nIAwPVPhSPRQiIiLKIK6X4VH3JM9ZIoohpYBSX4WcwuxUD4WIiIgyCDNLacnJLPHhIQLsBQQBGdm7\nREREROQGzsbTEDNLRLGkFBBCdlrttwAAIABJREFUQOGBtEREROQiBktpiXuWiDqTUtiNHoiIiIhc\nwj1Laagjs8Rgichx0fShKC3KSvUwiIiIKIMwWEpLzCwRdXbjogmpHgIRERFlGNa0pCFmloiIiIiI\nUo/BUhoalF2EYn8BCv35qR4KEREREVHGYhleGiryF2DBqPNTPQwiIiIioozGzBIREREREVEcDJaI\niIiIiIjiYLBEREREREQUB4MlIiIiIiKiOBgsERERERERxcFgiYiIiIiIKA4GS0RERERERHEwWCIi\nIiIiIoqDwRIREREREVEcDJaIiIiIiIjiYLBEREREREQUB4MlIiIiIiKiOBgsERERERERxcFgiYiI\niIiIKA4GS0RERERERHEwWCIiIiIiIoqDwRIREREREVEcDJaIiIiIiIjiYLBEREREREQUB4MlIiIi\nIiKiOBgsERERERERxcFgiYiIiIiIKA4GS0RERERERHEwWCIiIiIiIoqDwRIREREREVEcDJaIiIiI\niIjiYLBEREREREQUB4MlIiIiIiKiOBgsERERERERxcFgiYiIiIiIKA7V7RvUdR0/+clPcOTIESiK\ngrvvvhtDhw6N+ZkXX3wRK1euhKIo+NrXvoZrrrkGx48fx09/+lO0t7fDsiwsX74cEyZMcHv4RERE\nRESUIVzPLL300kvIz8/H6tWr8e1vfxv3339/zPcDgQAeeughPPXUU1i5ciUee+wxNDY24sknn8TC\nhQuxcuVK/OhHP8IDDzzg9tCJiIiIiCiDuB4sbdy4EZdccgkAYN68eaiuro75/tatWzFlyhRkZ2fD\n6/Vi5syZqK6uRlFREerr6wEADQ0NKCoqcnvoRERERESUQVwvw6utrY0EOlJKKIoCXdehqupp3weA\n4uJi1NbW4t/+7d+wZMkSrF27Fi0tLVi9erXbQyciIiIiogzSp8HSc889hzVr1kAIAQCwLAvbtm2L\n+RnTNCPfd34mmvPvxx9/HIsWLcJ3vvMdvPHGG7j33nvxu9/9ri+HT0REREREGUxYnaOTPrZ8+XJc\nccUVmDt3LnRdx4IFC/DGG29Evv/ee+/h2WefjexlWr58OS677DI8/fTTWLZsGSZMmID29nZceuml\neP311894W51L/IiIiIiIiDqbMWNG3K+7XoY3d+5crFu3DnPnzsVrr72G2bNnx3x/6tSpuOuuu9Dc\n3AwhBDZv3owVK1bgrbfewpYtWzBhwgRs27YNw4cP7/a2urrTRERERERE3XE9s2SaJlasWIH9+/fD\n6/XinnvuQWlpKR599FHMnj0bU6dOxd///nc89thjkFLihhtuwOWXX44TJ05gxYoVCAQCEELgZz/7\nGcaMGePm0ImIiIiIKIO4HiwRERERERH1B663DiciIiIiIuoPGCwRERERERHFwWCJiIiIiIgoDgZL\nRP1IMBhM9RCI0k5rayuA08/py0QnTpxI9RCI0h7fK3gNekL5xS9+8YtUD4LOrK2tDYFAAF6vN9VD\ncV0m3/dobW1t+H//7//hzTffRE1NDSZPnpzqIaXE+vXr8dBDD6GkpAT5+fnQNC3VQ0qpP//5z2hq\nakJxcTFU1fWTIFLu4MGDuO+++7BhwwaMGzcO+fn5qR5Synz++ef4yU9+grfeegstLS2YOHFiqoeU\ncgcOHMjo5wQAfPjhh5BSIicnB5ZlQQiR6iGlTGtrKzZs2IDy8nJ4PJ5UDyclWltb8cILL6C8vBxZ\nWVmpHk6/wWApza1duxY/+tGPUFNTg5aWFowePTrVQ3JNJt/3zp555hk0Njbi1ltvRXNzM0aMGAEA\nGfXB9+c//xnPPvsszj//fBiGgbKyMvj9/lQPy3WWZaGurg7/+Z//iV27dqGxsRHZ2dmoqKhI9dBc\nt3z5cowdOxaTJ0+G3+/H4MGDUz2klHnmmWdQUVGBZcuWwTCMjHw+OA4ePIif/vSneOWVV9Da2ooJ\nEyZAyswqpNm3bx+++c1vYs+ePdi4cSMWLFgARVFSPayUeeONNyLziYMHD2Lq1KkZt8C0adMm/PjH\nP0ZdXR2OHz+OqqoqZGdnp3pY/UJmPVP6mePHj2P9+vV47LHHUF5ejubm5lQPyTWZfN/j+eCDD7Bw\n4UKUlpZi2LBhaGhoQGFhYaqH5SrDMHDxxRfjX/7lXxAKhTK2hEAIAcMwAACPPPJIikeTOjU1NcjN\nzcUtt9wCwM4itLa2ZtxqqWVZsCwL7777LlasWIHc3FwYhoGPP/4YEyZMSPXwUuLNN99EVVUVli1b\nhj179mTMpDg6c/TZZ59h4cKF+O53v4tTp05FsvCZml06dOgQbrrpJlx11VUIBoMZWa1SW1uLSy65\nBP/+7/+e6qH0O5nxDtKPNDc3IycnBwCQlZWF+vp65OXloa6uDu+99x7GjRs3YDMsmXzfo9XX1+M3\nv/kNLrjgAlx66aUAgHnz5uGTTz7Bzp07sXXrVmiahilTpuAHP/hBikfbd9auXYvi4mJccMEFAOy9\nGNnZ2XjzzTfxyCOPoKqqCueccw6+9a1vpXikfU/XdWzZsgWTJ0+G1+vFwYMHUVhYiJMnT+KZZ57B\n3r17ccEFF2DOnDkoLS1N9XD7xO7du/Hkk09i+fLlyM3NRWlpKbZv344XXngBO3fuxO7du5GTk4Nr\nr70W8+bNS/Vw+9ShQ4fwne98B7/+9a8xceJECCEwe/Zs/Pd//zeqqqpw9OhRHDhwANdccw0uvfTS\njFpYMU0Tn3zyCa644gpomobDhw+jrq4O55133oAu29V1HYZhRIKAbdu2oampCQCwZs0aeDweXHLJ\nJRg6dGgqh+maY8eOIT8/P1J9UF1djYsvvhjt7e144IEHUFxcjMsvvxxDhgxJ8Uj7ztGjR2FZViTL\nvGvXLlRUVKC1tRX33nsvCgoKMH/+fJx77rkpHmn6YxleGnn22Wdx//33Y/z48Rg8eDBOnTqFY8eO\n4fDhw1i9ejVCoRBWr14NKSXGjx8P0zQHzApRJt/3zj766CO8/vrr2LJlC7761a9CSomjR49i7969\nEELgvvvuw6RJk/Dggw/iggsuQF5eXqqH3OsaGhpw5513wufzYfDgwSguLoZlWfj973+PQYMG4Xvf\n+x6qqqrwxhtvoK6ubsDvz/jFL36BdevWoaysDFVVVSgoKMCTTz6J+vp65ObmYs6cOaiursZ7772H\niy66KNXD7RP/+Mc/sGrVKowdOxaVlZVQFAV5eXl4+OGHcf311+MHP/gBampqsGvXLpSXlw/oAOHj\njz/G3//+dxw9ejSyoDJ48GC8+eabqKiowF133YXKykr885//xIgRIwZ0eeLJkyexdOlSFBUVYcSI\nEZBS4vPPP8czzzyD+vp6vPfee3jnnXdw+PBhlJaWoqCgINVD7nUNDQ249tprsXPnTlxyySUAgMrK\nSjzzzDPYvn07cnJyUFNTg/Xr16O8vBxlZWUpHnHfOnz4MC6//HIUFBRg3LhxUBQFqqrit7/9Lerq\n6jBy5Ejs3r0bO3bsQG5u7oC8Hk1NTbj66qthmiZGjhyJ7Oxs6LqO+++/H5qmYfjw4Whvb8emTZsi\nP0Ndy6wi3jS3b98+nHPOOXj++ecBAGVlZcjKysLWrVtx3XXX4c4778Rtt92G3/3udwAwoGqwM/m+\nA/YqoGPTpk34xje+gYqKCjz88MMAgGnTpiE/Px8NDQ04deoURo4ciXPPPRf/+Mc/UjXkXtfU1IRA\nIAAAeP/991FZWQlVVbFlyxaEQiHMmjUL48aNw44dOzBkyBBMnz4dc+fOxalTpwZkSV57ezsA+7rs\n27cPU6ZMwc6dO3Hs2DH4/X589atfxSuvvIKLL74YF1xwAZYuXYrGxkYcPHgwxSPvPTU1NZEOkIFA\nANdffz2ee+45nDx5EgBw2WWXwefz4eOPPwYAXHHFFTh48OCAK7EJhULYtGlT5H47jS12796NdevW\nAQBKSkowffp0fPDBBwCAL3zhC2hoaMDRo0dTNm43HDlyBIFAAP/85z9RV1cHALjhhhsA2M+fe++9\nF3fccQeCwSA++eSTVA61z5w4cQJTp07Fhx9+iE8//RQAUFBQgDlz5mD37t34zne+gxUrVqC4uBi7\ndu0CMLA7oe3fvx/jx49HdXU1ampqAAALFiyIZF2vueYafO9734OmaQPu9eE8rrt370ZpaSmampqw\nZ88emKaJefPmYcSIEdi4cSMWL16M66+/HuPHj8fnn38eKe2m+JhZSqHt27djy5YtGDFiBHRdx9tv\nv41FixZh8+bNsCwLo0aNQlFRETZv3oyysjKMGTMGw4YNw/bt2zFhwoR+3eUnk+97tJ07d+LnP/85\nXnvtNezevRuWZWHJkiWoqqpCZWUlHn/8ccydOxelpaVQFAXNzc3YtGkTSktL8be//Q2LFy/u96ti\nhmHg17/+Nf70pz/hgw8+wKRJkzBu3DhcffXVOHnyJHbt2oWsrCxUVFRg3LhxeOmllzB06FDk5+fj\nj3/8I0aNGjWgMks1NTX43e9+h3fffTeyCjxp0iRUVlZi27ZtsCwLo0ePxqRJk7B+/Xrk5+dj7Nix\nOHbsGLZv346rr76632dd33nnHdx6662RYODLX/4yqqqqMH/+fLzzzjs4ceIEpkyZAk3TMGnSpMjr\n5NNPP8X777+PCy+8sN+/Rzh7S9599138+Mc/xrFjx/Dcc89hxIgRuPjii1FeXo7i4mI8/PDD+PrX\nvw5N0zB27Fi899572LdvH+rq6vD+++9j/vz5/f49IlooFMLbb78Ny7JQWFiInTt3Yt68eXjvvfcA\nAOPHj4eqqrAsC3/+859xww03YNCgQXjjjTdQXFyMsWPH9vt9OzU1NXjiiSeg6zpKSkpw9OhRzJ8/\nHx6PB3/6059w5ZVXwuPxoKioCG+++SbKy8tRWVmJQ4cO4ciRI/jCF77Qr+9/Z5s2bcKaNWtQV1eH\n0aNHo66uDtdffz22bt2KAwcO4Nxzz4WiKBgyZAhWrlyJxYsXo7i4GK+//jqKi4sxbty4VN+FpG3a\ntAlPP/00Dhw4gClTpgAALr/8chw+fBh79+5FZWUl8vPzMXnyZDzxxBO48sorUVBQgDfffBM5OTks\nxesGg6UU0HUdd999N15++WUcPXoUW7ZsQVFREa699lqUlpYiEAjgtddew4UXXoiSkhKEQiF8+umn\n2Lp1K/72t79F0qv9sbNNJt/3eNauXYuCggLce++9MAwD9913Hy6++GLk5OSguLgYR44cweuvv45L\nLrkEFRUVmDhxInbu3IkNGzZgwYIFuPDCC1N9F5L21ltv4eOPP8b999+P6upq7NixAwAwbNgwFBQU\nYMeOHWhsbERVVRXKyspQVFSEXbt24eGHH0ZlZSWWLl06YNrAtrS0YPny5Rg/fjz8fj9eeeUVmKaJ\nWbNmoaysDHv27MHhw4dRUFCAQYMGYcSIEdiyZQtefPFFvPzyy5g9e3a//9BrbGzEo48+ih/84Ae4\n8cYb8cILL+DUqVM455xzkJWVhSFDhmDVqlUYP348SkpKUFJSgqysLLz//vv4+9//jv/4j//AmDFj\nUn03kuZMZletWoUvfOEL+OEPfwjTNPG///u/mD9/Pvx+P0aNGoVXX30VR44cwcyZM+HxeDBz5kyc\nPHkSmzZtws033xyZOA0E27dvx6233oqWlhY89dRTqKiowIwZMzBmzBgUFRXhT3/6E2bMmIHc3FxM\nnDgRmzdvxt69e3HkyBG8+eabmD17NkaMGNEvAwUnwPvwww/xy1/+EpWVldi+fTteeeUV3HjjjcjN\nzcX06dPxhz/8AYMGDcKoUaNQXFyMvLw8PPHEEzh27Bj++te/4uqrr0ZVVVWq707SnOuxfv16/P73\nv8dFF12ElStXorm5GbNnz0ZhYSEqKysjpbtFRUUYMmQITp06hbfeegvr1q3DoUOH8JWvfKXflqlG\nPyceeOABXHHFFfjLX/6Cw4cPRxZcS0tLsX79+ki5YWlpKdrb27Fx40asXbsWn3/+Ob785S9ndPfM\nRDBYSgHDMPCPf/wDv/rVr7Bw4UKcOnUKq1atwuWXXw5FUZCdnY2PPvoIx44dw9SpUzFixAiMHTsW\ne/fuRUlJCe68885+Gyxk8n13vPzyy6itrUVlZSXefvttjBs3DqNGjcLw4cOxf/9+/PWvf8WiRYtg\nmiZGjRoVORNh79698Hq9WLBgARYsWBBZDeuPq6Q7duxAKBRCXl4eXn75ZQghMG/ePIwePRrHjh3D\np59+igkTJqC4uBitra3Yt28fioqK0NrairFjx2LmzJn44he/iIULF8Lj8fTLaxDNaV5x9OhRvPLK\nK/jlL3+J6dOno7W1Fdu2bUN+fj5KS0uRlZWFjz76CB6PB6NHj0ZeXh7OP/98FBcX47rrrsOcOXNS\nfVfOSmNjI9auXYuysjIUFhbir3/9K4YNG4aRI0di9OjReOWVVzBo0CCUl5ejtLQUBw4cwJ49ezB8\n+HBs2LABX/nKVzBz5kxceeWV/b7BxfHjx/HUU0+hrq4OQ4YMwaFDh9DW1oZp06ZhwoQJ2LRpE06c\nOIFp06ZBCIFJkybht7/9LWbMmIEXXngBlZWVmD17NubPn4+SkpJIWU5/fn041q5dizFjxuCOO+5A\nUVERXnrpJQwfPhylpaWorKzE+++/j0OHDkVeB3PmzIlk526++WbMmjUrxffg7LW1tUHTNGzbtg11\ndXVYvnw55s+fj8cffxzZ2dkYOXIkpJQoLCzEI488gq9//esAgJEjR2LOnDkIBAK4+eabB1QWXgiB\nl19+GcOHD8fSpUsxadIk/OUvf0FxcTHKy8sxePBgHD58GNXV1ViwYAEA+zkxadIkKIqC22+/vd8G\nSoCdZVUUBa+++ipycnJw4403RsoxW1paMGLECAwaNAgnT57ERx99hHPPPRdZWVmYMWMGZs6cCa/X\nix/+8IcMlBLAYMklL774Il599VW0traioqICK1euxFVXXQWfz4fhw4fjvffew+eff47zzjsPXq8X\nRUVFePXVV3H8+HF8+umnmD59OqZNm9YvDyPN5Psebe/evfjud7+LlpYWvPDC/2/vvKOqutI+/Nx7\nkXbpvUsvgtSAgArWCLGiEhNLNM5oxjEzJsuZxLhGx3EmVU3UoJNiN3YD+SJjsGADRAFFEREpURSp\n0qRKu98frnsCajKTmXwfc/A8/7gW93jXefc9Z+/9lv17v8HY2BiVSkVGRoZwKDcsLIxPP/0Ub29v\nbGxs0NPTIyMjgzVr1mBsbMzIkSMFRSe1yIWYNkFNTU2sWbOG/fv3U1JSwpUrV5g2bRr79+8nMjJS\nWLi+//57Hj58iJubG87OzqSmprJz505OnDhBWFgYJiYmKJVK0W8ECwoKWLVqFcnJyRQWFjJq1CiO\nHTuGvr4+Tk5O6Onpce/ePUpLSwkICMDMzIz29naOHTvG559/Tm1tLUOGDBF1z6l//OMfvPvuuzQ2\nNnLt2jWqqqqwtbWloaEBLy8vLC0tKSkpobi4mMDAQDQ1NRk8eDBvv/02p06dwsbGhsDAQEC8z4Ga\n7Oxs3nzzTQYOHMjFixdpbm6mubmZ7u5urKysMDAwwM7Ojs8++4zo6Gi0tbUxMTFhz549HDp0iCFD\nhgjqkfBojpDL5aIdl+rqajZv3kxFRQU2NjY0NTWRl5fHyJEjcXV15caNG9y7dw9HR0eUSiXu7u4c\nOnQIAwMDDh06hK2tLQEBAURERGBubi7K+SInJ4dPPvmE9PR0rK2taW9vp6GhgYEDB6Kvr4+xsTEJ\nCQlERESgpaWFm5sbKSkpZGRkkJKSQltbG/7+/ri5uQlqs2ImKSmJ999/n4KCApRKJcbGxhQWFuLn\n54etrS01NTVcv34dNzc39PX1GTJkCPv37ycvL49du3bh4OCAk5OTqJV1jx8/zqpVq8jPz6ejowNv\nb2+Sk5MJDQ3F2tqalpYW8vPz0dfXx8bGBh8fH86dO0dKSgqbNm3CwcEBR0dHoV+jxD+nf52S/y+k\ns7OTuLg4jh49iru7O2+99RZVVVU4OjqyYcMGAHR0dHj55ZfJysqipqYGbW1tWlpauHbtGklJSQwe\nPBgNDQ1RTfDwbNv+NFJTUwkICOBvf/sbb7/9Nrt27SI2Npbc3FwuXrwIgEKhYNq0aZw7dw6A9957\njwcPHvDVV1+xbNmyXj1kxChycfPmTaqqqjh06BBLliwhLy+PO3fuEBAQwMGDBwFwc3NDqVTS3NwM\nPGomePLkSSZOnEhCQgKurq7C94nNWXyc9evXExkZyYcffkhtbS07duxgxowZfPfddwDY2dnh7OzM\ngwcPaGhoAB6pwhUUFDB37tx+IR2fk5PDO++8w7p163B3d6epqQlDQ0PKysrIzs4GYMqUKZw9e5ba\n2loaGxv5+OOPCQsLY/PmzSxcuFD0z4GaM2fO8Nprr/HGG28wYcIECgoKGDt2LMXFxRQUFNDW1oaX\nlxcDBw5k165dAKxdu5awsDASEhIEYQM1Ypwj1OTl5bFw4UJ0dXUpLCxky5YttLa2Ym5uLgjiTJ48\nmfz8fGpra4FH70tDQwMrV64UziepEWNwqaqqio8++ojRo0djY2MjVCU0NjZSWloKwJgxY1CpVBw5\nckSwTVtbm1OnThEQECCoJfYHLl++zL59+3j99dexsLDg+PHjVFRUoKWl1euZKCkpEcanpqaG0tJS\ncnNzWbx4MX5+fn1pwn9Mfn4+u3fv5g9/+AORkZEkJSVRXFyMq6srp0+fBmDo0KF0d3dTVVUFPOqv\nlJWVRVlZGStXriQsLKwvTRAl4p1JRYKGhgY5OTn87ne/4/nnn+fXv/41W7duZenSpRw5ckRQarG0\ntMTOzo7y8nJqamr47LPPWLx4MXv27BFt2vxZtr0n6mjmwIED8fLyQqVSERwcjK6uLpqamsycOZMv\nv/xSmNi0tLSEmvKZM2cSFxeHv78/KpWK7u7uPrPjl6CoqKiXtLWxsTGWlpYMGzaM7OxscnJy0NXV\nxdTUVFCusrKyYu/evSxYsACgX6j2qFQq7t69i4WFBcOHD8fAwABPT080NTVxd3dHLpdz4MABAHx9\nfbl48SIKhYKysjICAgKIj49n8uTJfWzFv09PJa6amhqhdE5PT4+8vDxGjBiBgYGBoGZlbm6Or68v\nFRUVyOVyXnnlFT7++ON+0zNGPR52dnZCSUxkZCTXrl3D0dERPz8/srOzuXDhAgAhISG4uLgAMG/e\nPFasWIG5uTldXV39RuUsOzub6dOns3jxYqKjo2lubsbLy4v29nZycnJoamrC2dkZY2Nj4uPjAdi2\nbRve3t4cPnyY+fPn9/o+MTqOqampWFpaMnbsWF588UWys7MJCwvDzMyMrKwsSkpKgEfPwIkTJwA4\nePAgPj4+nDp1iokTJ/bl7f/inD59mqioKAICAggJCaGkpETIqOXm5lJWVoa+vj4+Pj7CM3H8+HEW\nL17M7t27Re8owaP3IiIiAj8/P9zc3JDL5Tg5OeHg4EBubi7FxcUolUocHBw4fvy48H8WLlzI9u3b\nRX+mta+QyvD+j2lubsbMzAwvLy80NTWprq6ms7OTiIgIKioqBKUnpVLJwYMHiY6OxsLCgpiYGLy8\nvPr69v8jnmXbe/aBUv/r6OiIh4cHMpmMGzducOLECWJjYxk8eDB5eXlkZmaSnp7OuXPnGDp0KE5O\nTkJPkK6uLlGW06jHQX3/zs7OwoHz7u5u4uPjiYqKwt3dnYaGBr744gscHR1JTEwkKCgIb29vzMzM\n0NXVFRxFMW56Hkcmk6Grq4uPj4/gKKjrztVKbuvXryc0NJTKykpu375NeHg4VlZWeHt7i/bcXlxc\nnNDrRl1vP3bsWPT19QE4f/48xsbGDBkyBCMjI/Ly8jh8+DBFRUXk5eXx8ssvY2Rk1C965ajfiZ6l\nYd7e3lhbWwOPFAFLS0uJjo7GxcWFxsZG9u3bR1ZWFqdOnSI2NhZzc3Mh29zd3Y1CoRDdHPFj3Lt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Tracez les rendements du portefeuille ainsi que l'actif en lui-même\n", "portfolio.plot(alpha=0.9,label='AAPL avec Hedge')\n", "asset_ret2016.plot(alpha=0.5);\n", "benchmark_ret2016.plot(alpha=0.5)\n", "plt.ylabel(\"Rendement quotidien\")\n", "plt.legend();" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.6799024809993652e-05" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "portfolio.mean()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.000574549568770769" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "asset_ret2016.mean()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.012065447808277703" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "portfolio.std()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.014702747344261722" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "asset_ret2016.std()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "_____" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**2017 Chiffres clés**" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Résultats 2017\n", "alpha: 0.000968854542346\n", "beta: 1.26769880296\n" ] } ], "source": [ "# Obtenir des données pour une période différente:\n", "start = '2017-01-01'\n", "end = '2017-08-01'\n", "\n", "asset2017 = get_pricing('AAPL', fields='price', start_date=start, end_date=end)\n", "benchmark2017 = get_pricing('SPY', fields='price', start_date=start, end_date=end)\n", "\n", "asset_ret2017 = asset2017.pct_change()[1:]\n", "benchmark_ret2017 = benchmark2017.pct_change()[1:]\n", "\n", "aret_val = asset_ret2017.values\n", "bret_val = benchmark_ret2017.values\n", "\n", "alpha2017, beta2017 = alpha_beta(bret_val,aret_val)\n", "\n", "print('Résultats 2017')\n", "print('alpha: ' + str(alpha2017))\n", "print('beta: ' + str(beta2017))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Création d'un portefeuille basé sur l'estimation du bêta de 2016**" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Portefeuille avec Alpha et Beta hors échantillon:\n", "alpha: 0.000968854542346\n", "beta: 0.23788510501\n" ] } ], "source": [ "# Créer un portefeuille couvert et calculer alpha et beta\n", "portfolio = -1*beta2016*benchmark_ret2017 + asset_ret2017\n", "\n", "alpha, beta = alpha_beta(benchmark_ret2017,portfolio)\n", "print 'Portefeuille avec Alpha et Beta hors échantillon:'\n", "print 'alpha: ' + str(alpha)\n", "print 'beta: ' + str(beta)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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R8SqFJYm5kLk/LGnNkoiIiIh4lcKSxJxl7d+I1nEUlkRERETEmxSWJObCjcKS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\nbYEfhp2eXYcF0RqU4gV3VIbnhQEKdL7/sfwYduBwceEyL06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37OabDbmr99wOJavCTyYi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\nJ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B+l2sFtNFAW5iHgvp3Z9VGqdfjTv7qJpsj86qdPU7PqCB0LSRQ3dJYAIpk8gi/TmZ9H\njMdIP/E4aiaDU2/08839YrHY5Os/muRP/vImgWSTSawpsumyhqHL+EEoatOL3jB+4HmY7+IQfG9m\nKdo163z0WJeKt40qXhAEdJaWqPsmZlTlUGbfJrNYw0jg+O6WxrR2s4nteNiSHm4uJQklEiUfkQkE\nly++OoHp2FQWZ4nIGvGh3dlpiKKIquk4uryjyhvAzGId5G5nSduaM2+tlqhevhLOdEgSlUuX++Bv\ntKsqtpV8uD0X0jHloc1eZrJhMPD8swRBwOrZs1uCyfWRjIRgqVyv05i4Q6MWXgOxyP2LPV6nQ2R1\nEVtSKEdC5kHZXPu+aqY7t7SNMI7lev3OkqgoxLqeOw8avevaPjpK9NAhss8+zehnPs3gyx/A2LOH\nhh0CwaSWIJ7I0NaE0Oz4Aehm94teZ6mjdNdBrzv3uM40ODI8TPrxxzCkgGMrSzQbJs1tmCvNjkMg\nuKjKmt9VZ2GR/MxVNBNKzea2FL7dRu+8mIYeslwkFdfzdjWPB6EkO4AzmsW0PQhEUvHNtPPezJIa\nBAQEFKsdXN/B0BVUSWFvJpzpK9TDda/cqbNa7ZCJJDlzJMdTp4dYXhSo1jxmqnMPJHxjNsPrP5mK\no+ihqIB7T2fJaTTQbs8jnr3GtT//vyj+4If4d2cxCyvIsRixI4fJPvs0I5/6JCM/9SnyL76f0c98\nmqGPfpjUex5Fyg/QadaRZiocLCxwdLHA69fXwM7kQoXAtkkaGpK2PS1fEATSTzwe5oKLlzbl+qwW\n4FkaSiwRUoFdH8GXUJJhYUXSdSLD29Pg0o8/hhyNUr85tm0hRZZE/t7TeURR4KtXKpRqHXRFD2c1\nhQB7i87S5ckFBMXl5MjolkXzeyPwPLTVJQIB8kkddX4KQRBQRHnXomO7iYbZYaDeua+n34ML0v9/\nLFqyjOIGxOQAq0tP0/JrG+HEyRO0pqep3xwjsnfPjhzomBZFV6VwAK9k855jOdKPP8byK1/CLFRp\nO52+WEPgeSEdThBwGw1WX3+D/Ivv57Wxa3i+z5nhY7vmW2d8kcDxsF0bp1LlypJNo23z2sV5PnJQ\npWG1CGIDnModYRaF6o8uUj37fa4JRRQ5zyuvLRIzEvz6zzyMJAqhZKRnYVoKUimyYjQAACAASURB\nVDSKXXcJvPDijXVnlkRFIZGMo5UWWKpsDZYujhe4OF7g2L4073/P1uaio12wNLcSVg2lLSqzkiQS\nsR18Atq6gCgIJNZRUnoqdEf3pYnGB6hdu0FraorY4fsPW7vNJl67w77j+/jssWG++P3b/JsvX+Wz\nnwgX7fWzZqZrUe5UyUWzG8Qlzl1fQhAEnjq1tXdSDySW6yajhwdZ1BVqK4vku+p/y40izvgSY7fu\nIhoxvKEzqNdXUBUJRZZQFRFVllB6/5VFVCX8u6ZITM7XWFpt8r4Te9G1IvlulbjY2LhY+Y5D5e1L\nIa00CPADn6bdpmbWaVotfEJQkpVDmmNCi9MwW/yosoo24HFk/8PcuuMhivIGsYmBbAhclwpVCmWV\nwSMqoiBs6rbsTQzzztINopkOJw9muHqnyNtjBZ7sHrfevNLhPQnK7Sr7h+K8PVagXDfJJteAo12t\nYi4t4yQN/IRBWt8IVhKRBC98/Bc4+4Ovsjo2yTtf/gvOfOwzGCMj/edML9a4MlHkwP4op9Q4e1Iq\nZ37ucSRNC2lbgoDhgWEILG1BZ1wzo9V2AEth+tS76o2DmSiu30Z2A0DAXlpCF+RdgyXfD/i3X71O\nx3L4x588zWxngqpZZ6+cRBZbyNGNnQcjlwVPwQkCvEePIsoyajaDWShglytEhjdfr0EQcHe5zts3\nC1wYK/TntSRJZM9hjZGBRF+RTZM1orpCINoUKx2yyQi+4+A0QmEY37LozC9g7H13jIWbbQddF/Hw\nkBB57ESev/jOOF/8/h1OHMiwJ7/RsNWp1XBbbYpRH1ESOZjeXHwytNCY1m5tpuX0wZKohXLLgBqN\nklElBuIKZ68t0qLMYb9BXIuh57eXpr43dFnDjij43WLFdh3kmaU6iuaFIh5bKLp5lsXqG2dDE8nn\nnmFJFPA7JtV3LpN99hn25cIK9Mo91hKB5+EvF7EVeVvPE31wkNSZh6leuUrp7HlyL75v285Zqqvs\n2Lw7Q6XdJuhWxBP6/Qs+9fFb6LJAITGC0pQBl2qn1i9IbVTE21zxdnpgSRIRZIVoRKHWfHBTyrga\nRQCaMZnsmSc3Pd6jLMW1KCknwXLSwDTb2JUqWvbBfcYm56ucvbbEZ1860p/jdZstRE2jQ/j9fafX\nnd64FYsfPYJTq5F9exJnamFbGn6vs2Soar9Q0LwzScxqcHy5QGOfQttuP5DZ8b1hl8MiVyeiIuDT\nUSLYbh2rfH+6r++6tKZnkHQdMxPFHoeorqLIm4f7RUUJu8G+D0LA/EoTBK/fWUpF4kR1mVIzLLDd\nWS7guD5n4hqVdy7zsSMRLl7zmJwQST3hMl2Z5fjA7szbbTMspiSTMbSIjlv3ce8pIHiTd9HnVhEl\nmZWExN5jh5GyaUbfvz2VXhAE1HQaNZ2mPGjQzLWojoE9e52I1eTt8QXMF110TebKnRVk3yMVjyDe\nRzhFicdJPnSa6pWrVC9fJfv02vWclj1KCIxkj3OLQij+4qvo0QiZ008gRaM7msaKikLmmadY+f4P\nKJ0/z9BHP7Kl+FTMbnDmyACXaxH++KvX+O//wZOoiood1/sFu95xqTRMFqorDOyLMJrcnXdee3aO\nqBzw6AefZlgMx2XiJ08gSzLOu6QAC9BqNRlsdohnUuzUK/1/BSz97u/+LleuXEEQBH7rt36Lhx9+\nuP/Y2bNn+f3f/30kSeJ973sfv/Ebv3Hf1+wULUUh5gdojkm1WERUFJTU2rC2kohj7N1De3YOc7mw\n5QajF7IoYSg6ZqfBk3GNgwfy5J85w19/+ZuwWqdlt8lFQyUpu1wmcF1iR4/gmybtuXlWzp/nUmEC\nPJkXTmymrG0XWT9UK7M8B7tc5spEeGO3OjZjY9N0XJPkwBAPDZ7gdP44i8IgC2+8TnF8nq+0ZrHj\nDs89eoDZ1hTIo6RjGppn0bEE5FgUu2LjuiFwi6/zMMrkM6i3PRa3oOG1TYc/+6sxJEnklz51estZ\nJAjd20VR7NLw2EbgQcCwHYIgoKEExNXYhgrx7dkKEU1mTz6OJArog3nM5QJOvYGS2H4RCIKA2tVQ\nWUgbHOQThw9yY7rE9alVPtwIW/rrO0tLjRUC2ODXsVJuMzlf5dTB7JZDqbDWWSrXTc5E0szHIzQb\nVbxOB1MKqJVXqZyfYbmdZDy7B/tHu5uRuzdeeO44XCoSc3xkSaTcXtvkW6slSufO4TSaWLpERbQp\nd2q4qgeaTEQZYjCaIRfLoqsRQIDAZ/6NKyTKAZmTMpOVaQTXQ7pnZikaM1BkkXKlAeRJJcNh4nvP\npSqrjMTzzNeX+czLx5n4XJX/8O1xHjo8gO8HzC43OL4/zXxjgUtL10nnBmEsFHlYD5YaYyF3uLN3\nAOiQ2gKsRFWD933gZ3k9+k0ql67zzjde4eEPfpLEkSMAfP1H4TzNC48NYV+8gSJH10QrRDHkWNeq\nxKMqq8tNmm17g3/XmhJefBNY60XP/DARkzgwkuSxEwNUgwKS6wEygecxbDss7IK6BfDX52cYmynx\n6LE82dEm46uLDBgZjtk6LSaQ76HhxUcHaShZ2G9QFDrsB9Tups4ul/q5zPcDphZqvD1e4IcXirSd\nsFooyxKPHR/kiVODPHI0y7enXiWlx/tFHFmUiBs6iG2KlQ4nDhBWk4OA6IH9tGfn6CwuEvj+ruhp\n94tm20FIL/CjmfO8fPgFMgmdX/nUQ/zxV6/yv/35Rf7HX3mmT3mFsILecU1qCYWR+NCW5puGEqGs\nKphbgCWn1cRyfMRUjES0Sz+OGKiCwAceG+Syl+LSzA309iInDx7vd0B2E7qsUTMUglaAU6ttCZYu\n316hUG6ROSIQU41N5q5BEFA69yZeu03yzEPoQ0MIe0ZRyxVaM3cx9u8jNZgjosmU75kr6ywu4Vo2\npZhB3Nge0MRPnsBaXaWzsEjt+g1SZ7ZeVzPROAQB3tQ0DA0SFIsICbUvj79deKYZCtnEDMThJOVS\nuAEtd9bWFCWVBEHYVuTBdl3UIEASBERFJqorLK2GokHbrTtbhSRKRFVj23mW3t/jWgzLtZlPxzDn\nTKxi8YHAUhAEvHphlr/4zi08z+fIniTPPjxC4Pt4rRZKOk2ru+54jgL4RPXNm9H0Y+9B/e5VYitX\nqV66Bns20/ZDgQePaJcOGfg+VrFI1FDRbR/11iyNTv1vCJbC89KKqBBYeIKCJcuY5fK2diC9aM/O\n4TsOiWNHsYJFTDNgcAsKHoR5WVTVjWBJ9DB0GVVSUGWVRCTCUrNDs+Nwa2EZxXE5UVuiMV5HBj7m\nLjF50cUWVaYOmhx6chglsvM1CmC1w+5MKhVHNwy8ANqtjdRHt9UGBA797Ge5uHqLubSKSHZXM8fQ\nVdkVRaarEWJKlL3xBlftDj98Z4GPPLOfq5MrKH5AOha5r+ATQPz4MVp379KamiJ6cH+/mJOSPUqA\nqGQ4mYtze2kZgg6GLhM7sjvwqOfzJE4cpz42TuXS5Q1gDLrX2UqRw0dHeKg9wju3Vvj2uRn0vIYZ\n16AB9mqJyGhYwLx+p0SgtsinDfK7nFdqTEyAIPD8x57FqdUo/ujH1K5eQ5HkXSk07yZc30NZrSD5\nApnjR6jY2xc2/9bB0oULF7h79y6f//znmZyc5Dd/8zd55ZVX+o//zu/8Dp/73OfI5/P8wi/8Ah/5\nyEcol8s7vmanaGOQVUzslQJus0VkdGTTzZ04eZL27Bz1mzd3BEsATxzbx+rkHR5JpzAO7EdRFWKD\neVorZQqFFQ50q5s9eoo+NIg+NITbbjM/dgW/XCaiHOX4/t0n34zn0Q5CdSNztcS1O21kWcJ1PW6O\n32ZIhqGhUFJREARGTp5Bml9h/vUxFCHFk0/nyGckbq1OcWt1imUcFBqYtoKoh6pNntulA6yTq4yn\nU0QViWuFEj96Z573reseffH7E1SbJp958UjoNr5NyJLIYMZgqVyDDFsuboIgYFguPh62oZBfl9hr\nTYtCucXDh3NI3ddGDx7EXC7Qmp4m9cjWc19BEFC5eIn27CxabiCc5xAFHjkywNh0iXo9AOFesBSe\ns/X+SudvhIPezz08wnaR6W70SzWTAeMgXsKgU29gl8osGy61NyfwOgIjzz7BR547g+36OI6H7fjY\nrrf273X/td3u407YRt+bj3Hk6DALV2XEVoeYrlFrNvF9n+b4LapXrwFQ35NiLGWDGMFQhtiXHGFf\ncpSUnth03fu+z8SX3yTVktizZ4Cm3cZwPERZRpDXUoOsamiqhNSVqE7EJXRRxSquomYzGzbK+1N7\nmK8v0xEqfPK9h/jqD+/wlR/c4cT+DBDOK/V8JiLxMOHdXa7z2Ikw0XumSXt2FiURp5aQkB2pL4l7\nb2iyyvue+QRvRCLUzl/kyne+xqnmB2kNHeLSrQKH96QYzmvM2g5KOrrh90tGBGU1IBZXKEo2S6UW\nRzeApTpKxCWqy1uCNVjrLAVCwD//tWexXZuvjt9AWqcEONjqMK2I2I6HqmxfzZsrNPjC9ydIRDU+\n+L4E46vjxNUoz+97gvrChfDz7qHhpVIxJlKnOBIrs9QoEgQBaqZbrFkts1xq8d23Znl7rLBGo/N9\nnn54D0+cGuTMkQF0NfwNTauFH/h9qlJvE5SORgnEIsXu3FBvQ6t250yadyaxVld33XVx223MxSWM\n/fs2VCuDIKDRsTFyTgjyPRdZknn+kRGqDZNXXr3N7/35Rf7ZLz3Vr9KbS0tUOjW8zH6OZLZ2tY8o\nOoGmYNsdfMfZ8JlWs4HjeqSza5LdkhFBFiSwTf6bX3yU/+Hzl7Fn27wtexxG4P5it2HoskY5FsFt\nhPLhPYGFC+/8gEa7Siz9FH/05evISsDR/fEt55XqN29iLi2hDw+ROHUKWFOtWv72dyhfuMjwxz9K\nIhJhpdWmbTr9Y9OcuIPreZSN2Iacfm8IgkD2madZ/uvvUL9xEy2b7W9w1kcmHiXZ7uB2PISRYTzL\nItHxSRk7y+3Wx0K12cTJk+RbdZYm2oiBTKWzRiEWZRklkcCuVLcE3rbrEQ0CRFFEkGWiEYUgCDBt\nt/97dwrfD5hcqHJoNEVCi7PYKGC59oYZH6Bv/hpXo+GamIphTtdDRsqJ4/f9HICO5fK5b9zgrRtL\nSFL4OxaLXfP3TofA95FjUVp2G1EQcB0J8DfJREMIHozHnmLh1Vu0bk3RmLhD/OiRDc+pt+zQtLUL\nxp1aDd9xiB86gHWriF6fovzGOUY+9pkduwk7hV0uhZ0hwYFARAgkOpqKY7bxOuYmoYD10bwzCYKA\ncfAA5vQMtg2pzPbgQtJ01CAAAhaKTQLBw9CV/rnKxpIslhosrjaYXV1l/0qD3LFhEqdPIYgip7Q4\nC9+5jHWzAZUqt6ZqZHOjaPkcWj6Pns9tSX93TRtPkEgmdDRDpw007jETX5wvUV5ucFLIk9AWmK7M\nMuRtVkndKnzfp9AsIgUqC8s2z+czZNQquu/w7fMzPHV6kJnlCo+oEoos70jD60XovfQkhe+9SuXC\n2wx99COhUIkQrtNVR+KFwcOIrRxf5wKG/mDb/eTDD9FZWqY1NUVkdARjzxoN2SyE86rRvXv45Yce\n4rcX3uBLr03ws5+NYMY1/HoI2nu55OqdIr7SZl9uiPh9PNEArFIJu1QmMjqCHIsiRQ203ACdhQWS\ntsMS746su+3aRFdrKLJM7NABGB/f9rl/62Dp3LlzvPzyywAcPnyYer1Oq9UiGo0yNzdHKpVisLuw\nvPTSS5w7d45yubzta+4Xdd9AUx1ak2GluTevtD7UTBp9eAhzaRlrtYTW9RnZKn7msecoNj3k1Xrf\nK2LwwF6mVsa5e2uGp088DhC6hAsCej6PKMtknn+Ot25fYmCxzIHTSWRp95XYtOvSFAXansvi9CJt\nM8qLj+3lxlSJ4vwC+X0aI7k1Coogikzoe5grXuDxrMI//NAvIsoiy80is7UFCqVJFGmVRpDFEcKN\nXU9cpEfDA9BicUYGokQDlz/95hj7hxLsH04wMVfh1QtzjORifPK996fCjeZiLJbCxbHXjQg8D3+1\nRPnti5hLy+QaTXxdwje0DeIOE3Ph647tW0tKkT2jiIpCa2aG5MMPbVnVrt+42ZXmToYKQ93N/2C2\nK+dcdSEdygJDqAq33CwSV6MbNi7nry0jSSKPn9x+MxjVZVRFolw3iSg6aiZNe3oFq1Ri8u4c5t0i\nrnGQT//cC7ta3HcKJZnAqVRJajGqzVUW37qEPz2JFImQffZpptpT0Crx/gNPk48ObFn1sxyPKxNF\nzl9bYtVReSQT8HT2KGdrtxBcFzmqbXidrGpoioQYeAT4JGIy+mqDwsVXiR48QObpp/rPH47lUSWF\n2doCH3/+Rc5eXeQ7b95lrhDSMI/tSzHRDjnsciSs5s2sE3lozdwl8H30Qwep21NkIqkd+c2KpPDC\noy9zTtOpvXGea298l2nvIBDj0y8cxnQXEG0H7Z5cIRkGmqSSkkUCyWZptcXRrkJf23RYLjfJHAmI\nadEtxR1gbWapZyzYmw3ogSU1nSZlWSieSqneYji7WVEPQprRH335Kp7n85kPD3G7egtNUnlh/1Oh\nslqrhSBJiPd0J4ayUQQErIZOxzWpmnXSRhLJMLBKJf7DN24wdreMoSu899FRnjgxiF2b5emnHtn0\nHerdeY2eIlvp7DmceoPsqAGCy0qlO5jeBUtKOo2oazTvTNKZX7gvWHJbLepj47Qmp8KqZKm8oVpp\n2R6u59LDMnWrScYI7/mPP3+QcsPie2/d5V9+/h3+u7//OKLn0l4pUNZ94vFUv6N/bxhKhECVcaxQ\n5GE9WGpW6niCwHB+7bVSJIIkSrjtNg23ynN7ozRvxbm66lP+8lX+yc+c2VXu1mS1K/LQ7os8NCYn\nqbx+lkqjw18IVWRxD7/y2SPcdW72QWovzOVlatduIBkG2Wef2XA/qqkUiVMnqd+4SfXKVTLRGIVK\ngeVSi0OjKTpLS5iFAo1YhLYYuW/OEVWVgfc+T+G7r1I6d56hj364b37ci2wsxnC1gS0rpB57D861\na2Razo5Gjr2ukmREiB0+xODUbQQEBE+n5TQ3ABY1kw5plY0GSnJjccJ2XGQCBFkJrQy6a1Sz7ewq\nn77y6m2+dXaaX/7UQ6RHYiw2CtStBjl54zVTt5pEZB1FUkhpcQJdxVQErOLqfTsoEBY8/tUXLrNc\nCnPJpz+wh//18z9mvhjmvp4JvByL0bILRGQdyw6p0dttZEeG0nwrN8p+r0Tl4iWUeAx9aK2g2zBD\nv6tEt8PXmzHR8jmCYw9THlukPrdA+cLbZJ95+r7H6t7wOh28dgdteAinVSNkJIi0VCUUeahVtwVL\ndrWKXSqhDw8TRDQs2wVf3lIJrxeiqqL6AeAxv9Lodpa0fg4eTCS5JswxvriIvbjCiO2S2jMU7gME\ngeRDp/nrdo6Lt24j56sYEiRbLZw79f7slJJKkf/Aixs6Qp5p4Yky6bhGNGbQBpr1tc5SEAR0ai1M\nUeavXp/h0x86weuzbzPTXuSFXRzH1U4lnJ1sxBHosH9vHmH1LkdzOtenOvzJN24QCB4ZTUJSlF0D\nW20gG0reT9yhfnOM5MMPYQQ2rihTNsP1qG2GlLWI9mB7D0GSyD77DIXvfJfyWxfQshmkSIT27Cyl\n82+FIHjfPiJRlY88c4BXvneLcsVFTUZx5xpYq+G16PkB12YX0BMCx4Y2Nyu2iubt0OspdjT07BQE\ngeSZh1l59TVGSmXm0hFcz0P+CQsAvahXVok02njpkU3MjXvjb13gYXV1lUxmrauSzWZZ7R7UrR4r\nFos7vuZ+UXdD+dveAKu2zaKeOHkyfP7N7RVAAAxfQi41UDNp1C6d78RDoVdS8W44UOs7DtZqCTWT\n6bdT560S48NZfN/gZHtxVwpEvfeK+R4tTaOhSSzeLSD6Ho8ey/HkyQFkt0lT1Da02ReLTf7sjQXq\nySGeO5ygMzmJJEqMJoZ4du/jnMkdQ/UdFr1qn/vp2OEFHIusVTTUeBxVkXnmaBzHdfmDL1ym1rT4\n3DduAAG/9MnTu9o4jOaiIISLgiQItGdnWfrmt/Gu36A5cQffsqjFosyM5kEUSWrrwFJ3XunYvjUK\njCjLGPv24rU7ISi9JxoTd6hdu44cjZJ7/0YPo6FsuKgUyha6rPY7S8VWCdf3NnSV5goNFooNHj2a\n23FRFgSBdFynXDdDo8jBUVzfo768wMwP3sL3JR7/1Mt/Y6AEoCQSBL7PoKwx0Giw/M5l5FiMoY9+\nGDWfo9KpkdBiDMZyG5KS43pcHC/wh1+8wn/xL17jX3/hMhfHC2iDQ5w4kCHRcDkxcBjZAz2yMWko\nvc5S4JJMyOiajNrtVLSmZ6hdWfP2EkWRfckRTNeiYlb4R584RRAE3JwuIUsiuZzQH7y1gzbJmBKK\nKRAuSK3JKQRRxBvK4AcBqW0ocOtDEiWeO/UCAx98iYprsTp9kf1Dcc4cHcAy2+AHaMbGzZ9sGKiS\nQkIK+mCpFzNLdRAdknGJzBb+Sv336HaWeiCpB5pE10eQJKKHD6HJMtlGi9XG9qp9X3x1gvmVBs+9\nJ0NVnkFA4Pn9TxDrDvy7zSZyNLq5Ix5VySYjlFZEWGd2qGUzuB2TudkVRnIx/uC/fYlf+/TDvOd4\nHlnavFA5nsNsNRS4SWgxOl2VJadaJeOHHdiVrjGtXa6EQgiJOHo+jyDLdBYWt/XrcVstym9fZOkv\nv9nfOMuxGK2pKax1IijNjgOii9qdZaiuUyYSBIFf/MgJnjw1xK27Zf7NV67RXlym0q7hZOIczuzf\ndgHudZYc393ktdSuNrBkmdHc2jnugSXRcpiuzqE1Wjx1fB+5g3u4cHOZP/zilS0NYPvvaTp8+bUJ\nLFPANzQ8fJxajdb0DMU336TS6LBYbJL1ZvnPf/4k+XyYE9bLhrvtDqtnzyMIAgPPP7clzSd5+hRK\nIkFz4g4jASD4zK/WCHyf6uUrIAgsDWYQAnHHzlIv1HSa9BOP4ztOaFh7jzRv1G4Tb1tUIzqxI4fp\niAKpZoeEvn0FvDF+q99VEiSJoa6SqGuGr6msF3nYwZzW8T0U6APdnhhCy7z/3MKl8ZW+jcHF8UIf\nlDbuoeK5nkvb6fRFNlRZJapEaMYVfNumMX4Lu7q9IfobVxb55//uPMulFh94epiXP6Qy1nwHIbXC\n3UrITnC7VFDBiNBxTaKqgemE77cVDQ9CNVlbMpgazeP6oZnweg+cRifc0Me7s2M9qXMtl2NvboA7\ngwNUZYnW9MyuRZHWh9VVWVQyaTwvgECAQKKpKPiBj7ODD1UPnMSOHMLybDq2h7CNEl4vJE1DEgQk\n32O51AbBI9Kl4QGMdK+Tc+Pj7Fkpke4K26y//3/qxaO05CzX/QyF00PEPvFBBj/0MqlHzqCkUjhd\nELc+PNvBE0USUY1Y1/JhPQ3Ptkw8y8YRVd68sYzoxMkZGcp2lWLr/uqjy93cvFII90uHDg0iiRKH\ncmFh8spEEQSfpCoh7dLouRepR84gRSLUb47h1Grovo0la1TqYb7rmdc/aGcJQE0lST1yBt+yKL/1\nNrUbN1h94xwIArkX3ttnYh0YDguBlZoHsgSpOFZxlcbEHRaLTZpelVw6wmBsa0n09bGeXaIPre3H\n9HwefXiYRKdDttnqe779TaI4dpsA8Hbhn/e33lm6N9msr9hs9dh277FbcQQ/iPTpK6KioKa33vxo\n+RzaQJbOwiJ2tYaa2nqT1ro72+XsH+j/7fCJA4iSRLurtmetFCEI+ic6CAJul6aY7/j48VP8VEag\n+OPXGfrwy5sqePeGXS6jKzItxaAqg1dqEo+anDyYIbALLBKwaq5VnG3H419/8Qq24/GRX/wQ8clL\n1K7fwNi/D7lbfTqdHuUdT6YsdPqeAT3hl/WdJTkaI6YamIrNi89m+OG5Cr/9R2eptyw+8MS+DQBm\np+gp4sU6JqN3Jll1bBAExJER8h98CS2bZbpYQI+E53uDEt5cFUkSOTi68XxEDx2iOTlFa2pmg7KL\nXa5QuXgJUdPIvfj+TVWvfNoIFXXKLQ4oEWpmo2tEGyazkcTazXnuWrjIPbOFt9K9kUnqFMotbMdj\nIJmnEtGYGL9Ju9TAyh3ghfee3NWxul/0qq57mm38Ypl6NMsj738BSdepmXUc32WPEZ4X1/O5MVni\nzZvLXBov9JNmLm3w9Ol9PH16iJGkwuJXv465vMzDJ18kmbqKes/QtqRp6KqMZHkMj0QAG6VtAxJy\nPE59bBxR00icDOfw9qVGuVO+y0x1nmcOP8ZTp4d568YSR/emqVjh4hpTDZp2m8FhgdsTJo22jdpu\n4NTrGPv2Ug/CRK+LBv/Hf3qHtuWiyiKyJKLIYl8YQ5FEZDn8mywNMG0ayJR45oSHIAiYrRYiAuo9\nYEkyDGRRJi0FIHU2yIeviTvoO4K17TpLouMhxjWMfXvRVJVsrUR5G7B0Y6rEt8/PkMsq5A9XcH2P\nZ/c+3jdE9iwL33G27IgDHBpN8tZYE9NyWGoUOJU/iprN0hibRGnXObLnwLYFjSAIuFud52phHNO1\niKlGuAE4+4P+c/Ryk4gms1IPfdmcWg01s0a9jAwP0Z6bx63XN3QE3GaL+tgYranpLvUoRuL0SaL7\n92OVSqy8+hqVty8y+OEPIQhCqOoluihK+L51a6OMtCQK/PpnHqbesrlwc5nhwgSpoAq5Y+xPbS8w\nYSgRfFXB9dobvJZ8x8FqmdiS0hehgS4NT5QQbIelxgrxuknCyPAbP/8C//sXrnFxvMAfvHKZf/pz\nj6LIm4/rn//1OK9fXuBZK0pmj4hv6NjlCqU338IWAs7Fk+xftXkyLlJjDqww1/W62YHnUTp7Ft+y\nSD/2nm1ZDoIkkXnmaQrf/R6jiwUkz2euWKE1E6qURQ8dpDF3HQJp10Wa2KGD2KurNCenqFy4SOap\nJ/oVbmdqEhGJ+VQI2kuGTqzRwiuvwhbKWp5p0pi4gxSJ9IV48l2wZLZk9cfK/AAAIABJREFUIjGo\ndKprIg/rFPHWr60ArushB0EfLPUoa/eTD18pt/njr15DkSWiEYUb02V+QQzpmvV71OV6FLz1rIJU\nJEEhbeAuuiEAvXwFUVHQcjnUgSxabgAhkeQ/fu8Or12cQ9fhwy/H+L/Ze+/gSPP7vPPzpn47J3Sj\n0chhMAkTMGF3NgdySa5ISrQsmaZ8EnV23dWdT6WzSnW+sqtc1oU/bZ+ss1RXdeeSLdEWFS1LIpcm\nKXKXG2bTzOzkAGAQBkA30DmHN94fb6MBDIABZndFVbn0VKEwtdvdePsNv983PN/nEf2rPChbuGXV\nmYlcLznqap3Okq5K0HLmLttaBVEUUV27V8iTMR+YLrKigTJ9HOvaPbI/eovE519BUlVq7RaKLOJV\nVMdHMpNF8jgFicF4COuezIP+GKfqEsVLl1F74weesYFNcQcpHHKKBLaIYIlUJQXTNPc07TUaTUfY\nwevB099PvlmirZkdj6W9E2xRdSEJIrJtYloWLpfgrPUdD6nhzvNgLt1F1Q16po53i9YbODQYZmo8\nxo0HNQpjTWaLSzw5OI0a60Hyesm/+173WoDzzJm6DooPRRYJdqwy2vXN9aJcLKIbFqbPjW3bfPud\nBf7WK8e4PneT62t3+Mz4s4+MSdPVDJIgMr+g4/e6GBiMkboi4bLanD+W4MPbawQDMm44sJ1I95wp\nCpFzZ8m9/Q65ty/icYm0JRfFqhPU1VsfP1kC8B+edOZDU86P7PMRe+G5bed9pJMs5Qo6iSGQpo8h\nfnCb4uUrLEXGsZUGkYCXhO/R80qWYVC9N4NtWfgnJ3ec08iZ0wiv/4ixTJ7i4hLB4wef/X8YtmVR\nnl3AFEW8yb3HLDbwY0+WEonEtq5QJpMh1tHPTyQSZLeYwK2vr9Pb24uiKHu+Zz/oTYm6bJFKpRCj\nUdY/+mjP11q2hZlKsfatbyEd23kRbNvGvHQFmk0yxQLC5cub7/V6ECtV/vKH7xDMrmKlUqz3xhAv\nXyavlbhVmiObkuiP9lAK6+RnZln9xn9EOju9bT5kxzEtPaBRK1MhzEK9SqBdZjDSx60b11havI4k\n2tzPiLzz3oe4FZHvf1RifrXB9JgPyciSdimY9xZI/8l/QjruBOxWPg8tH0XN4o3rb3fOdRBN97Ew\nd5dCujOLUatB3aSUWkMfk+kL9/EgW8PvljjUU+fylu//KBTLOlKzwpH8Gqhe1voTiONjSB4Pt5aX\nYXkZ0zBotQwy6XXutG4jCAKaYTGzlKMvrHDz+tWd16JUgrU1FiUBQXF47OZHV7ErVaTTJ1mfndn1\neDyKxcJKnpHlGnmtxHuN97lWuYtpWyy15lkWFp0h3fczYNlY9RUuX360tLzZqqDpOm9evITsbpMz\nWtRWi2iiwMCJQ1z96MqBztV+sPIFzFQKuVrDtiyuub2EZh1jybVWjlQ9RXnR5vuv5ZhNtWjpThU8\n6JE4PerhyICbRFhBEKpkV6tkV8GoVGBtjQceN8ZqCrHVYmXLtb119y56q8lI1EMi1iCVShFeLGK4\ngkjDg5iLi6Re+w7S/DxiX8KZFyvnWU+vIawbnOiD+SWBoXCbD25eoqCVOeQbIV1PYVjOffe9H11i\nqLiElV5DivUwf/MKa60suTsK7944eAUpooU5Jq6wvvA+73pdLC3PEqnVub/8gMUtwa2Vy2Gm07Qt\nCUGymFlc697PH14volNHa7RZvb9M/cHe1dP1whpVqUyg4KKkV0hXUoTSWayGzdrNm1RcCp5Wm9sf\nXcWvOcabdiqNbRjoviC/e6mNbpokR9Z4sKox5h1kvZ1iHadLbVdrGKkUoiDwYJfnTTJq6JrF6lKZ\nYjGLr6AgV+qsPlhDbQYR9eKO5/Ty5ctUjDrz9WVqRh1REBn09BFzB7j+/R9i3rmLGI9h5wsUsxqi\n10W+XOb9N96C1VVE22a185lWpYKZSrH+gx8ijgxjt1pYS8vY6+vO/InHgzgyjJDoJV0sQqdzYJoG\n1s1bLOs6YrKPxUwb3WrRatZJp3Sa2Rpmauew7YtHBdLrNvdv3yIUbxBqw42r13e8bgO2bZMtFxEL\nBW59dBWxs7/Y9TrlWo2W7CW/tsDlmiPha9dqlAolSlSpiDoTayXS8SDZO7d46ahAqSTywa1V/rdc\nnp+6ENnWqbufbvHDD53gcmYuw4iYJ1DWqJV0BFkmdaiPdFagP5BEbeS5feldrGgI3TKYa86yJMqY\n9xewlpcRe+NkqpVte8zW67cBU5GxSiUGW01uzc5y6G4WDANheIBSpYphqMzcu8kD5WAkElsAs1rF\nvngR4aMriONjCD4f5oeXabjcrNkmH1z6kFVF5KgNN15/A+nI4R2fY84vYD1YRjo0wdpVZ+0u1gw0\nXWdxrkDYTKHlGjQCna6yYWCm06QbDeSH/ArrzRboOunMOrXLl8mu19F0nes376KVdqeAGabNN3+U\no1zTefVsmHzV4MPZFm+8dZuMK0UrV8NMbQbD2XaBdC2Fpyxhp531JtNYY9loEEwOEGrY2JUKdqaI\n3fG5ausWd1fbrFsKYzGR2KDIek7FVfMx7EkSUvyItkbbrvGD775BeGUeu1qlNneXtJ7CVYKWLiHa\nFleu7L0/qIJEsdzgRmmdmCxhzcywnMkgnTpBrlyCkMnC3AKtmSzG/Dxib5y1K1co5TVMXWK2mCft\n7cean2f1T/7Trtdrx31gWVCrY87OYVerLK8sUa5WMQ03pm6TaTZZL7WoN6+ztEt30bw346zlhydZ\n++gj8lqJtfUchh4gn1nl8uXdlfTMpQe02y1QNDRdxy+3WV98wLU3/x0C0JJhfC1DuNagJUkIveFd\n45AjvRpX7rm4fnsVrVHGTLdwiQp2pYKRSrEmikhV596z2m00XcdSBS5fvkwul8G2LTKZbPezlxeW\nsW2LYEjFb9q8/uEi45EGMTXCzfu3MTItYq7di8cts83d0j0U00+2EODIgIc79+eoVqrkVnVGRg9z\nUTeI+zTqqTIZNX/g2GrbudPaWJ2Zm5boo7iS4fLly8zer6LpOg8W70P98buLALbbhZnPg9uNNDpM\n+v79Ha9xyxZLyxUi8QrXSyID0Qjmtes8uDKPN2qj6H3cun7L+Txdh0YDu9HErjeg2cBuNKDVdpoh\nkrQjxt7AQm8v/mqBmT//CzKpFcQDGIXvBqtYZH1llZzXTby+fzz7Y0+Wnn32WX7zN3+Tr371q9y+\nfZtEIoG30/EYGBigXq+TSqXo7e3ljTfe4F/9q39FoVDY8z37QZXd9I6O0u+qEDp1ktDU8T1fa9s2\na6aFXq7Qf+TIjq6PViiyNnsfz9QU8aee2vb/7ly/Qvb6bQTLzVAgiDEkMvjSSwiSxOvzFxGaQRTN\nywsvHOKJFyYoXvmI6r0Z3PUm8Ref35Ojmq03IVFCW4+QsVYIujKcGvRw9uxZcpnb9IT8zDSj2J5+\nTFnizmqW8YEov/qLT6HIErZtk1FV2rk88f4BPMk+qrNzXHNfZZ0oyX6njVrKybgUePrCua7evKVp\nrKTWcLk0FhNhfu7oGB9ebvPimcEDd5XA6Xb94Pu3EAWB9uHDPPn1XwCcTf/cOWfGS710GUEWOT5x\nlPPj5wEc6pac54lTo5w7t3PAtuL1Ubp2nUhPjMDkIaqzcxT9AbxTU8SeeXrP43n9zmVu3M9yaOwI\nruoyfQMDLK/mGA7188TQWQBml4u0jBzPnhngqSf3V15cqswyk75P//AhJgZDXL19Ddso0p4c4u/9\n5Ks7lK4+Lox6nVS+gFyu8kNVYKC3p3sOL61e49r1LFeumgimTtjv45WpPi5M9TExGNqz8lUUJap3\n7xHtTVDo78c3OkJP5zMvX77M6bPnKN64SGgwztj0EewHTZJhgcTYEXqffRb9xAnW//KHWNUa8elp\nPAP9eDJBbmVmSAwkGY0M8eJzTjHiz+58jx45zucmnqdx57sEvBLz9wXcvjjJWhrx0CH6X/ks5fl3\nkFoqM+kQLqXEv/jlFwj6XOimhW5s/Jhb/m1hGBZaq4V1sUmWNlLSTU8lSDgc5djp09uGo9v5AuuF\nEnZEIGwXqJVMTp0+gyKLfPOdN/EGYWx4gOePP7vnzBLA6t08LsnFuclzrFbWyC9U6Y1aDIxP0nvu\nHMVSifzKMhFN43AwROXmrS4l+MOLtzmardNz3EtACjI8fIozh5/cpgTZeLBMLr1GePo0wV2GzL3R\nAu/NfEDQM0Q82SA5OMCQL8HyW7cIWW1eeW6aocQmrfXih+8iJz1kSxUCvhBToWOcShzD6/Jgmyap\nb72GNThI8ktfpHjlCqtzt+lTLRZV6AvHEfv7iT5xvquqZLbbrFaqKB4PLsOivrwKgoA8OUlo6jje\nkd2NXI1jx0l/+zUETSd54gT6bAHl+hKxaIRkfwi3rHKuM//5MA71rfLH/+ZNllB5yX9i17VhKzLG\nCq5sm8nR0a4gTDOV4hIilurh5eef7IrHmO021+fuoHk0gt4gI30uBs8+0VWJO3vW5Df+4CNu3s/x\n5gz8o787jUuRqDU0fueNd/C4nS5svS2STCZJ9PhJrjWdLtCDGaTFVZKnpzlWX0Y0StT7elElF08d\nu0BjZYXczBzykSP0feFzu8r1bl0zAezpae78ucHMW+8irC2TPDpAcOo47uOHkedvokgunn7y/GOp\nxpmnTlG5dZvqzCwUy4j1JlYySUPwYIttJqcOU790EdHjo9/tYeDMmW3X2Gy3Sc0vIk5M0P/lL3X3\nNtO0+I9v/iXIAcaGR5EEiXNHNr/L/Mo6erPFkS3fz7RspB/cRJUlhkZHmTh3DkNN8+btaySSw5w7\nN7zrd/j337pFsQGffWKMX/zKCe4tFbi2+AFtehgbHkMSxG1/+1ZmhkqmzRMj51hethgfCNEnDKA/\nuMRg4ghH45trh9FocvXSDN/99iVkJc2Qv0QirKIUZOItL/FEDLc/jCvaw2WXh57iA4JzMsl4AGVo\niNrJwxTWTM4MTvMXr1+nJxLcdk0fxvjdKrdKGeKDA5x/eor8OxdpLK/gFyUsEfxeD6enThHNtyn0\np4icP0dg8hBHGhp/cPM2tmRy8otfoPT6W+ilEr0DA9vmnsDZ69v5PO1sjnY2i5YvYJsmBAIoAwP4\nz53lP6/MIEsSguRClFXiE0nCLYHB06e7M8HgUCnXZu+jHDtG36ufRxBF5gsPeDe3iiKqnDl1jKnx\n3TumZbeH1OIdVGxMRSEW9THshf6IIzpk6hoD2n1aCORGBvjM8y/suq+dA26vfcDttTrqlEJoJMrx\n3sOYrRaraxk8ySTxzjmv5Qu8jYAn4OfcuXOEe1dZfeN7qJKre10KayUEQWRwZIALk6f4t39+g5Va\ngLGeftSYF1MROXPozA6fN4C5/CLJdAG9EMOllHj5wlGmj/ag3buK7Zf4zItnOHfGIldbYPXP7jEy\nPsHkI+6HvWAcPUr6tf+CbRgEWjJVnOO/k72DS2lx9vSJbgfo48C+cAFEcc84YmruIy7NtYn29DLS\nP8p08jitY0e59S9/m6O5HM9LhxgsltArVayHfQBVN2IwhBIKogSDeAYH9xRbezOd5V6jwEvBKH2F\nEr2nT+/JvOgeu21j1GroxRJasej8lKuk3W4KispnD09y7uzRRyZMP/Zk6cyZM0xNTfG1r30NSZL4\n5//8n/Onf/qnBAIBXnnlFX7t136NX/3VXwXgy1/+MiMjI4yMjOx4z+PAMzSI0k7hG9l9Yd2AIAgE\njx0j/+57VO7eI3p++w1bX3C4zxvCDlvRNzZI9vptlm7dY7JXwp3sQ5Ak8o0i2UaBSkFBMNWu0WJ4\n+jRGrU5zdZXCpSsO5eGhm9C2bbR8Hk/Ah5FzUyknMKUFBGOVartGu1QiGQ7TMrx8//0HrBfquBSJ\nX/o7p7s+BhsGZmvf/T7Fy1dw/8QXMGo13KpEuR6mxxMh3yzSatlIkoR7Cx1AdLmQ/X5ilRKFD2ZY\nGanw9Vd/BlU9WJvYsizHoFGR6FN0aIEe3J3WJAgClm1vp+BtzCsN7Z6YeUdHKV2/QX1hAe/gAOVr\n152W9JnpRx5XX4+XG/eh1XTO9/3CIgD9gd0oeI9WR9zAhqTxB7fW+J1v32ZFVwiOD/LlF5/41BIl\ncOhjvvExhlQPuXd+gLu+SVfKN0qksg1EO84/+cUnODwcOVCQ5O7ro3r3Ho0HDiXzYdlSUZERBRFD\n12gZbaRaC1mUu1RVJeSIaGRef4PcOxfpfflFRkID3MrMsFRa7SpEljo0wSFf0hmidodougvYKKzf\nvY8dMPAfPYKNTblVQcHNvcUyk0ORLoXnIHdeeu0wjdmrLGYXcbU1ZFHaQW2QO4PpHlMk4HVRFttk\nig1CfpVMsU5s0nqkuEP3c0R5Cw3P6Jj6Cl2fjPDoEKYkIi4vUbwkIcgywanj3M4ZXPmwTH9vjbhV\nIbBkESstkr6bwZ1I4E4mcCcSGPWNofDdh09H+4OAQC4jER926B4j4UHW2iJBq0Ey6lTeLctiJr/A\nldJtej0Jwu4gZ5JT24QRqjOzmI0GgaNHkP0+PAMDyPMzxNpVFgSTwuo6MRxxhw1Iqooaj1NLraGX\nyijBAMGp43iHd0+SLNuipbfxeNyOT8jVa5Rv3KRmxbBFA1Vx5hNaRpuW0d5hfAxg51MM9qnMmmG+\n+doSyVAPJw/tzTRw+/xoloHW2DKDUKvRNgxUv7+bKEFnzZNdCO06rnIDv8u/bSN2KRK/8rUz/N9/\neJXrs1l+/ZtX+JWfO8s3vnOHcq3NVz97mIV0hQ/uLtNsG2iJEMlzLwOwdMWZbRifmMCXatOXqjHf\n1glEohi1GoX3PkCQJGLPPbNrorQbBEki/vTTKO9/iFnKIbjGCR47SsPU0A0LVVYeK1EC55pGzp7B\nf+gQpavXaK6uIvv9mD0qRnWRXK2Ebtq0whGsdpt2JrNddODuPWzDIHjq5LYioCSJxEJusoUmEXeY\ndC2zTeThjds5jEyWwz9nbtL/dBPJNhEFAUlxXrcfDe/dGylev7zMYG+Ar3/RYVMcGgzjdStcm83y\nlSk/mXq+q7gImzNMlTL85h9dpSfk4X/5upNYb52fM02LP357kW9/dBuG25w+PE6kL8yIFCNpeDA6\nKl71+QXq8wuMrWQxmjWKopvTzz2LZ6CfGxnHGsEre2hruyvhbcVQT4RbJVjJF3hiWCD61AW0Upny\nvVkko+H48cku2hmna7Bxv/q9LnyKl1qjQN1q0XPhSda+930KH14i/uILaIUi7ZyTHOnlCmyMPQgC\nSjCIGo+hxmPO/mBrmJYNtojXpdLSTEy/B5pN9GIJNe48f7ZtU/roKtg24TPT3TVAM7WOwIOXyB4W\nHOA8f5IoIhsOpdntEVAbGiATf+E51FiMlN1gJVPg8OjoI6lvP/X8BHe+kWN2aY1kdImjsUOO8a0s\nd+fHAIoF5/q63M5xRaJBbAH0LTOOhazTCYvEozx9Ksmf/miON66sMPJSiPHICHOFReaLDzjUM7rj\nODZM6VOrzvk9MdGD5FaRRRmxrdE2NfpjYXJFJ4GQDxhfPQzZ5yNy9gylj66i9saopRrohkmzQ8Pz\nfEwa3gb2E50Y7gtyaUamVG3QMpxzJ/XEuRoMcaxewLdepe22kX0+1FgPSjCIHAygBJzfB6WHuhWF\niteDcfw49uoymR++gbuvD8/QIJ6BfkRFQa9U0TeSomIRvVjC0revF7LPRz4cpmY2iIf2l9b/a/FZ\n2kiGNnDkyGZl8Pz58/z+7//+vu95HASTvSSPHcyXyTs8RPnGDerzC4SmjndlJm3TpL70AFFVd814\n+yeGuSMJNBfuY8cnu1Kx93Lz2LZN+oGLcMDNcKfKK4giPU9fIPPD16nPz6ME/ASPb59rMRsNzFYL\nf18vLLQRjQD4erAaVT5YvIxUbxEP9zDojrGQdoZl/7uvnNwh5e2KRJzOy8wslbv3HAl1VaYtqBwN\nT1Hwr/FBLU3AI+xYfHpffpHyrdskblVZuzXP9fQ3OPn5r+BOOEIZlm3R0JvU2nWqWp1qu061XaOq\n1WnoTWLeKM8MnyMum+REAWEX2U4ASRAxbbaJO8x06E+HhnafM5O9Htx9fbTSaXLvvIul60TOn9tV\nGnQrNkQeajUb3I7nhygIXf68aVp8cGuNgNfF8bG9lRG3ItJJll6/vIwgCJydHqVvuM3R5E6jzE8C\nQRDoufAkAO733qHcdBZ63dTJ18uUCnB0IMzR0YNL06vxGIIk0Vp3FnXhoUBNdDkmtJau0zY1xHoT\nWZS2zaio8Rix554h++bbZH/0Fr2vfIaYN0KmnqOhN/Eqnu4g7EaAHvNFKDZLqF6TxvwSTPc4sxbt\nGqZtUciagH3ghHUD3v5++tdSlApVBE1HFuUdyZKoqgiShKrbzpxeR+ShWGmBaBAMyF0zWtuyMFtt\nrFYLs9XEbDq/XdEosihT15wg3LDMTrIkInakX2OhIJmgn17NxD95iNDUcUoa/O5rF9EGAxx6Po7i\nDXDSNYKezTmS+IuL1BcXnWvRqdjupdTjUWWSMR8r6SZnZTdrtSy1ZptUS+GYX8GqVkkrOlfTt6hq\ndURB4Fz/ScYiQ9tUBs1Wi8qt24guV3cd8vQnkUWJcK0JokFlLUcsKOyY5/yo5efSh1m0WD+RQwnG\nlkzG9DyjySAhv4phmWRqWVar66Sr67QMjeeGz5M8PEl9fp7a3H1qYQVEE5ei0uvrYaWyRqVVxb3L\nMPjK/du4VJmffvkz/O6frfFv/vAq//S/fYKx/t0LMR5/iFy9zW//yQc8rQ7y4tlBCtkClmXjCW/f\nJAVBQPF5EXMZQk0BUZR2zA0pssT//NUz/OYfXeXqTIZf+3/fJZ2rMTEY5tVnxnjtnQU+uC1RqjVo\n92xSSNOlAoKpMDEYxeedoKdYQKsI9I8OOqIKuk70wpM7ZjD2QyiWoDzUi/deDnHisBMsNBvohoVX\n2V+CeC8owQDxF55DKxad++K1d6AKizmHyqhHO8beyyvdZMlst6nOzCK53fh2MQ3v6/FxfS6LV3Lu\n52KzRF+g12F1lFr4dI1mo4W3M2Tf1k1Ey5k/3CjibPih1XdJllLZGv/uL27jdsn88lenu3L9kiRy\n8lCM92+mMTtzYg/Kq4x3JOer7TqyKLG06jzL+XKT/+ePbnPqGbGbLOUrDf71n77JfPk+3jg8c2KQ\nJ0aOcDg2sa2oYluOqEc7myMYkLgtStiJUb7YMW+uddYLRXRj2vae4g4bGI5HYU4gXXL2eFGWCU0d\nZ/mNt+mrZjDkGKqs0shmHZ+i0GbBMR4MslBbp9ysE+sZ6nrnpL/9ne5rBElyEqNYrPv74YKZ2Whi\nmhbYAvGwnwXNxAj5INskd/EisWeeRo3HaaXStNYzuJPJbXFS29Ro6Y7Aw15+hdAReBBFZLOTLLkF\nXCUd8KCEw04xIR7nfqnK0YFH7wvHx6JMDvZwbzXH+liF5UqKkfAgst+HUat3Z9+LRafgqHqdPcKn\nqtiyhLGl+1HuJFSJRBRZEvnSs2P87mu3uTRX53+6cJql0gq3MjOMhAdQttwLhmWSqecJuPzMLtZJ\nRH1dT0HZ40Fo1GkbzhqhdZIz5QBGz3vBPzGOb3yM4J/dhFSDYqVNozuz9MkFph6Fkb4AWDLlukZT\nd77Lg7UK+aDI+uRhxj/3Fdyda/hJoHbWtGYoTGxsmPKNG915KgQBQRSdrugGBMFRkexPdgyCwyiR\nCJKq8uCP/wTWl4mHHq0dAH9NydKPGxuGgweBIIoEjh6leOky1XszhKcdmd1mKo3VbhM4cnjXi+0P\nhFGCHtrrbaoNnWRfglq7zmoljdFy0axaPHV2u0KZqCjEnn+e9e9/n9K168h+P97hzeBa6yjRBJO9\ngMOpHx06jti4SXk9hbfRJjyQ5OlIPwvpCs+c6uf56QF2Q+jkCcdL6tZtRFXF7VExNJlmE04OHqXW\nWO2aq26F7PfTc+FJ/MePkX39j8kvpbjxX/4z2tNT1ASDmlbHtHeqQ3kVN2F3gFyjwOuzbxEUmjxQ\nXYT3eFAEQcC27K5suGlazK2USMb8j7x+/vFRWuk07WwWVzTSHSZ+FPo68uHlsoXS+coxbxRXp8J5\ne6FAtaHx2SeGDyzxPtwXQFVk+uM+fvFLx+mLq8zmFxgJ7X49Pg2E3AEyjRwtXaPcLjteOLr7wAne\nBkRZRo3FusqCD1d4BElCECUs3aBltBBrLWQxtEPi19PfT89TT5J/932yb7zJ0PnD5BpFHpRSHI1P\n7EiW4t4eZoVFhsJNrLkCmn8C2eejWHQqpPcXWwiCi/PHHi9Zcif78ChuBjWJdLvidJY82+9tQRCc\nQehKkeG1NI2STeaj6wi2zXBljokVDU9bYvXSCma7vVl13XreVBV52lGpsm0b3TQQdBNRELvnMOTz\nsNoTwXb38/Xz56g1NH7rj69QJ8fJkza9wSDPjT+LW3HD5KTzOaUSrbV1WmtrtLM55+88QghmYiBE\nOldDtaOUzAy//9F3qYSruASN92++SToqIQoCkz2jDDfjTERHsAyDZjZDO9P5yRecavD06e6xSx4P\nnnicwNoCMm0a+QbK0NiO9e/iis5y7AhBn8rSbJars1lswcB21fCGNIJRnaBfIRJwEwt5ESWnQNEf\n7CM4NeUMXC8vYQsGLkWi1xdjpbJGuV3dYWCo1WsU11YRomGem5rCJyf4N394lf/r967wz/7BBRLR\nnfRsl8tDutzC1pv89l/cpKWZhFNOwB/q2dm1DgZ7COfX6NFduBLRXbs8iizyy1+d5rf+6BpX7q0j\nyxL//VdOIokCo8kgAiLVmkHLcAIuzdTJ12oogofeiBcCw5Q+uspITcZ9f51asYhvfBz/+Nie13kv\nKJKCOZLkelPlc8EEA4BuGWiGSfQAfi37YUOpLthRyVwpOPPDUrQHUWjSWF5B7e3FqFZpra13u0ri\nLrO4Gx1io+0cV6FZpi/Qy0q+QN2bwWNWqZXr25IlCQtRBFHuCDxnX9dXAAAgAElEQVTsoYbX0hzF\n1rZu8Es/O91d5zcwPRnn/ZtpyutepJjI7ewco+EhBEGgqtXwu7zMrTgJycmJODfuZ9Gulzl7yuT1\nW7f5D2+9Q9OsM9AX4GcunGe6/4jz3D4EQRQ7QVmEgR4XreUUq8VNxbSG3kASRCzd2Vu8nkeHYYO9\nAQRLIVvZVA/0jgxjqB7i9SJlK4LSMjDqO30kk+EICzVYzuWZ6BkieGIKvWNgvJEYuSL7B7CmbWFY\nNqIgEQ14mc/ZNCJBQqeSlG/cZP0HrxM6OUVjcQkEgciZ7fYEbUOjpRnIgtKl+e8GUXUhiyKyrWFj\n4VYF5HoLKZrorksXjg6jeNucGn303ioIAl95cZx/+c117i1lGIsvMBwaQPb50UtlLE1DUlUqlY1k\nyUlSJFFCUGTMLWpr9XIZURSIxp0i5AtnBvjzN+e5Nl/H0EWOxCa4mbnHvdx9TiQ25903VHatppe2\nVuDExKaQgMvnRyymaenOGmG2nQTjYYGlx4Wjzuucq0K1RaPdkQ7fQ0Tk08JofxABgWrVpNnpLM2u\n5LClFv3Jw3h6Hi8u2Queznrc0DS8gwN4BwfQK1Uay8s0V1exTctRq95IjMLhPTv11VYTbIHe8N8k\nS8DjJUvgqAJVbt6iNnef4PFjiC7XJgVvj83M5/KixMO0MkXWyhpT4TA30jexgWYhgECF04d38ipl\nr4f4iy84Hhfvve+Yb3Vuqg1pXW9vDI+aptk2ODo1iXYrTXu9iFdS8UZ7+Oz5YcJ+tWvsuRtEl4vw\n9Gny7zmO8O5QAHICxUoL07RotnV8nr1bkWogwPEXX+XDd75DbnYV4/0GxtkjhNwBAqqfgMuH3+Xr\n/luWZGzb5mbmHjOzVzHEMnXVRc8u1BwASRSxTLvbWVrO1Ghrxr6zUZ6BAUSXq9NVOr8r9edhJKLO\nJloomnQagCQDm+fuvZsHV8HbQCTg5rf+188gS5vduVN9n44C3p5/0xdgvZ5ltVCgLVTJFhsIhp/j\nYwfvKm3A3ZfoJku7uYeLigKGUzGSG20kRUIO7rxffKOjWG2N4pWPcF+ZQRpyFNcOx8bI1gv4XV68\nirMZxLwRsG2OKEXWgR+swiGg1CrTaOqspmBqtO+Rlcjd4IpGEVWVRNNGVnsIeowdHkXgBBz6nQah\nWoN4vUH77h0M0yLWzBJuqKgtEyEkowb8SG43kseD2PldvTeDXioh24IjPWpbW2h4ImJnY3fLKm5V\npqprpHI1fv33rrBWy9E/WWdyoJ/nR57cFnAJgtANtILHjjoSzluUwHbDWH+Qt6+tQj1CfxzmH8xT\nC5jY7QbFtRV6h84yHT+Cu65zfeke6+WaM5NgWRt/FFc0gmegn8DhyW2fHRgcRrl9id5ynrrp7qqW\nbaBca7O0VuHYaA+/9LVj3Ftf5ubKEg8KBYrVFqVqm9SaRFpTEDUFbBM1uYL/Qg8nEuAdGqR42QWp\nFYQguBWZmM+5f8ut7Yp4AEtzNzFsk76xSSRR4vyxBL/wE8f4xndu8y//wyX+2T+4sEOa+PZchaYt\nMBSVWfO7+dafvcdZYwFNlkjGdz4rLp+PwaDz7Lt79+bCy5LIL/2d0/zFW/OMJoOOchlO4QSgUjVp\nm04glKuVqDY0hkNJhxbncuEdHqK+sEitNo8SDhM5d2bPv/UoCIJAIhTijlrg5nyOqfEemloby7Lx\n7vIsf1xsGNCuVxx6tM/twdvbQ23uPvmL73Zfp4TDu3aVgG4y264rIDnPeqVd4zv33saQbRAsqpUG\nG6uxpptIVoeG59pQw3PClq2dJdu2+Z1v3yaVrfHKkyM8ObWzwHLqkOM7d2uuzE8eHmUmP89CaZmk\nvxfDMgmofmaXS/g8Ln7l587wG3/wER+l1qlZqxQr9xEQeOnYFH/v2We6sv77njNPkIBPIZcrY5oW\nkiRS0xr4XN6uStl+0u79cR+YCsV6A83UcUmKY68wOI7w/vvE82WsopNIPTy7MdgTgRVIFTo+h7JM\n/PlnD3TsW2FaJqZpoUgyEb8XclButAidegJ3b5zcxXcpX7/pfJ/JQzu9skzNKVL4vI+kzomqiiRJ\nyKYFkoFPFJA0A2VLN3swlCAVTdO7h7faVpyciDHWF2duNcviaIZ8X7FLaTZqNSRV7ZrPen2dZEkQ\nEVUFq65hmBaCINCu1QmoctdWQ5ElXn1mlN/99g2+//4SP/n8GPcLS8zkF5iIjuLprOkbdg75rBOX\nnBjfLP4oXh9YNu2mk7wabUdw5JMmS7A5FlCstGi0DFSX3DVJ/qtC2K8S9KmUyiZNvYVt29xJrYAA\nR/v3Vix9XHg6a1pT23z+lWCA0NTxR2oS7IZaq4VbUbtjK4/C3yRLu0CQJAJHj1C6eo3q7Bz+iXGa\nqbQTxOxBkfAqHoKDERr3Cny4bjJdq7FQXMbv8nJ13kKWxD2DWFc4TOzZp8m++Ta5N98m8blXkP0+\np7MkCLiiUXpCHgqVFoemhllfiGDUCvj9Hd6nJHLhAIG9d3SE2v152tks3nAAclCstg+8aA+GkkjP\nf5m6fAkxU6RHGCU0sXdCIAgCJxNHkR9kmPPcQ5DcDCd2HzB0m1EaTbnb3enOKw0/mpIiSBKxZ5/G\n0g3UnoMlCdGQG1kSyRY1koKIZVvdeSVNN7l0Z52ekIdDg49Hh9lNSvivEr3+MHczsFIoIHlr5MpN\nXHYfE4953ODMLdHxS9o1WXK5EBoO3dLX1JEj/l0rxwCBI4cxm00qd+7Sd7fC6jFYLK5055U2oMoq\n4aUidiVDIx7lR2mDZ+7nKIkVVnN1BCPKU7sEPftBEATcfQkaSw+IyQqC27XrsYZPnSR08gTXbwS4\n9Zd30KRJyg2DUtxD/4sJxk/8BKqye6LWXs+gl0pI+qbH0nYanvM+l6TgdsmUay3+j3/7Pg29weHp\nJkfHEjw7fH6bP9pu2Oscb8UG/Wwto/P180/y4UUZverj0FAWr+UmdL9B9YMfULEsrFSKtmHiioRx\nJxKOZUI8vmcy5h8axiVLDDXLZBs20paZQ83UeevOPUxfBiVR4zuzTrLtC8JzfYfoDyToD/RiagoL\nqQoLqTK3F3PcaS4ws5Lliyec59c3NopxaZGwohPweAm6/IiCsEM+HGB17jYCMHZ0s3L9ypPDFKst\nvvX2PL/+zSv8k68/gbtTvW61Dd65kmHIpXC4z8NnvnCUP/+Ny5S0FnPjcZ6M7jz/W2m86iOSJXAS\npp9+6dC2/xbyq4QDboolg7ahYdkWc51O1tCWNco/MUF9YdFhGDz3zIGu9V44PBDnndsLvHV1mZ95\neZJKw6nseh9DJno/RDpzfqWO/0xA9RCcOu7MmXg8yIEASsCP5PXuWbTaSJaKJQN3QiVbL/DGwrvk\nq1UMwQlYapXNeRJNt5Bsh4a3MbPkUWVEQaDW2AyWfnRlhYvXU4wPhPm5z+8u+OH3ujg0GGZupcSA\n7zjzxSXuZOe6ga1guMiXm0wf7nUS4Z85zf/+jTxLldsExCj/8AsvMz3+eLTqkBpwZiKFJtlSk56w\nC83UiXrCW8xCH33dvW4Fv8tHtVGgrjVwdejBrUiCtiKSKNVodTyUHr5fR+JRsGG9vLei50Fg2iam\naeOSpa4RcaUjxa/G4/S9+gUKH1xCL5UInZja8f6WodFuW4T8j04ERJeKLDk0PFsxCBgGkihti7sG\nQ0kGQwcrZAqCwFdemODX/yTNvaUCs/0LnPA7MYhRq6P29FDv2Dp4A97ueySXAnaLSrWJbgnIRhsx\nom6j2L18bpA/+v4tvvf+El94aoSp3sNcSl3nVuYe5wdOO9TSWgZFlLmzpCEKAkdHN4tNqs/pZrQ6\n81NGyymsKJ6DiZc9ChtjAYVKm2bL2Pce+zQgCALDfQGuZmyamo5u6szn00iSyLH+T28cwd0x123r\nn8xnybZt6lqLkOdghY//6pMlSRI/1o3iPzThKALd68hP2/auwg4bcMsqYn+M6FCee/kw/+FHF+kf\ntehzD7KamefkRBy3a+/j8PT3Ezl7huLlK2TffIvez76MViigBIOIisL/+LdPYVl2t8rdJzhVla38\n5P2wIfaQ+csfEIz1wVyBYqVFreHcdAHv/kllMtCL+cJnWPvOdylfv+EEXPskKb2WGzMygH0izvT4\n7hUGP3HyFZUfXlrmzOH4vuIOW/Gwss9+kESBRNRHJt8g6g5hYXfNCq/OZmlpBp99YvixB6N/3Ojr\neIalikVErUy1YjM9FP9YSZsSCSOqKla7jejaGTg7nSUTvdlEMewdlcOHETp9CrPdJnTnOoUbC1zv\nJMEbFLyNQeDAapGCx8W5n/88P/rD+/z7713iqedN1tZ0JFHm/LHEo/7MnvAkkzSWHmAbxq4dsA0I\ngkAoGEGMqNxNgWHI9I4q+H3BPRMloEvrU3QLBMfU0uksmYiC3E04JVHC41IoCTqaYfD8izKhaIgz\nyakdFLOPi+G+IJIkMr/qmGbeXynREwoyMB6klV5Dy+VxhcOOx0pPhMGXXto1Id4NSiiI5PcR9rYo\nViwWqnBUb/Hu8hXyjQKXFtexPFXCkUAnOXISpG30JLezeZ892suz+X5+9fcukd8iTOKfGKet/4B4\no4xf9SCKIn6Xr+uBtlGJLtaLNNbWCIR7CEW33xc/+5lJSrU2b19d5bf++Br/6GtnkCWR732wRKNh\n09MbAMHEvvYhL51K8M31GG1fmb7IzvWzmywJAuoBLSoexmgyyKW0TUsz0AyN+c484Hhis4PtivUQ\nOXsGVzSCEth/wPhRCLr9DCUCPMjWuDqTRXM5yZLvU6DhbaCnc4wbwgoBjwfZ6+0qDB4EG8lSptjk\n2Gio62/nafdjWWtAkVp1U4ijrW0ReOjcs4Ig4PMoXRreUrrCN75zB69b4Zd+9vQjqdPTh+PMLheZ\nWawyHh9hJj/PzXVHcCFfdDqtk50ZWbcq809/7iUuXp/kmVMDj110BZAlmZg/yLK8xmqmhrvTvfC7\nvNSrTpFyP4EHgN5giPuVDPlapTtLWW+brEaCTAo6zdUUgizvKOYOxB0KX666s/DwOLAsC9Oy8UiS\nQ/GyRKrNzZkeSVWJP//snh6Y1WYL2xKJ+B8tXiBt0PAsC1UFV6uNLEgojznHtxVnDscZjvaymM5w\nd+0BR3odASij5iQp9Zpzv/kDW/zW3C5MbIqFGuWmiWwZyL4AirQZw7ldMucmfHww1+L1S8v8xLOd\nbmVxmcM94yAI1LQGvZ44C6slJgbC2+aGNpIlrZMsmVobURA+tsDDVmzrLLV1wvuc908Lo8kg19Zk\nyrU2xUadQrNALOqlx7u/ufxBsdEtb2j7m1I/CtVGG9M2CB6wk/fjLYX/NSDgdR3YwHYrREXBf3gS\nq92mfOMmgijiHR3Z8/WCIOAJBPH9xBlciRiXlmYwNJH8mnNhpw/vv+kGDk8SODyJXi6T+cHr2KaJ\nq5OIDCUCjCSDDk0nupmcKHuoy+0FVzhE/9/6KXpPnwCgUGl1N7+thrSPguR2E33qAtg2+Yvv7lAZ\neRhaoUjIF+bLZ7/cpbc8jEODYSzb5ne+fYtf+fU3uHxnnbDfTTzyyVvSu6Gvx0uzbTAdP8NLY5sy\n4+91VPCePnlwCt5fFwYjzn2wUlpnNVdGMDwfi4IHm90YYFfKmqgoCKaFWGsii/I2WsRenxd94jzx\nscOoxTrSjTkEzSAqeNArVYqXr1C9N0MgGqdxdhJPXOLJM0HS5j2uzmQorfk5MdHTHeZ+XLi3DBfv\n9n22IqD6CHhdGGyKOzzKjBY2A2pJ21TCMywDQXPU8LbOfQ30hPD7JP6bn04Qipr0BxJMRPdeSx4X\niiw6gfJ6lbV8g2pDY2IgRPTJJ4i/9AIDP/0V+l79PJGzZxB7eg6cKEGnytoXx++TsAW4tNLgXu4+\nuUaBiDtMac1PWJvgF879JM+NPMF4dHjXOY4NxMIeRMtFqV7vmo4roRAlyU203cKtbRhTB9Atg4a+\n6YUzN3cdwTBJThzdsaYLgsDf//IUpw7FuT6X5d996xb1ps5r7yzic3npTTp+RmajQeL0FF/7+8/z\n2fND+HbpvGxcW1c4/FjnaitGk0EES6ZUc1T9lgsOpfrIwGaSJwgCgSOH95W9PQh8Lg+jySCWq87r\nl5epNTeSpU8vSAr5VLCk7n4R+hgV8FjYgygIrBca9PpiCMD5/pM0in7Mjmporb5pGKrpJoJlIoog\nyZv7k8+jUG/qNFo6v/lHVzFMi//hp08SCz96vzg96ZzrazNZjsbGkUWpK+CQXnO+1+QWQaGgz8Wr\nT499rERpA8lwFESTB9liVwzGq3i7NML9BB4Akp3C2IPcpj9RtdEmH/QgdTo9aqxnx+xRT9iDiEyp\n0eSTwLBMDNNCVRRCfhXBlqhtUYvbwF6xVqXZQLAeLe4ATqdZVBQUyyIYFJHqLSTxkyVLgiDwt144\nhNiMcG+pwAPdeRY3jGlbHZXMUGizw6CoKgg2lXKd9bUCCDZKwI1L3H6tpid8eFSZ//LeErphcypx\nFBu4vn6XtU4hoF52DINPTGynDbo7HS6t21lqIQlSVxzok6A7s1Rp/dg6SwAjfUHorHvXlx5gSzpD\nkcQ2MaFPig0aXnufuHM/rJecAkJgH0GwDfxXnyx9kkUucHjSWXxsG3cyua+0oVfxoFsaTz/lxsJk\nflbkxpzzYJ6e3HueaCvCZ6bx9Pejlzsc5F2G4jbmBgRJ6i6UjwNRljttWoFitd2lM+xHw9sKT7KP\n4LGjGLUaxct7G+rZpoleLuOKhBEfMUT68z9xjH/xyy/w868e48R4DEEUOHes92MlugfBRoUzW2wh\ndzbpRkvn2myWgXiAwd79B/7+ujEYi4AtkGsUyZaaCLqb43v4VxwE4elpYs89u2uVe6OqK1UaO5Tw\n9oIgisSffYZQ/xBypkT04l2Kr/0l6W+/Rm12DiUcYujzr2KrCvcLS4SHcrgUiQd3A4hagAsfg4LX\nPV735nyNtE/lKODy4/cq2JKGLbcI+1Winv2SJScIFbUNGp7pJEvGdjU8gBNjCT73dD9FVvHIbp4Y\nOP2p39fj/SFM0+KNKw4dZ2IghOz14jnAurUfXMkEbpeE4PNyeTbL/cIDPLKbCe8JWoUQp0dHcB2Q\nQiZLIkG3l2qrTdvcpFGk1CCSKOBKO8FgSHUCiXKHiqeZOusLM7hEmeT47jQrWRL5pZ89zVh/iLev\nrvJ//vb7NNs6X3p6EsnrRjcN3H0JwtOnsQUTj1vZVRpe7tz/G8WDj4ORZBAsiVK1TcvUWC+XkFAY\n6f34Qd+j0OePEw14CSWrXM1c40HW2Xf87k+PhhfwuRAsGa1DPQ16H7+QJUsisbCH9UKDyZ4xvnL0\n84xHR0hla5iicw81a1s6S4a5g4YHTrJUa+r82z+7SabY4MvPjTN9eP89drDXTzTk4fpcDll0bSta\nLKfaiKK4p6rix8Vwpzu5mMt2kyWfy9Ol4R2kszQcc4pgq/nNZKnSbGGLAtKEM0e9ocC7FZIoEPCq\n1FvtHf/vcbAxs+SSZSfhsUXq7Z3J0m6wbItqswW2RNC3//0ouBRGYz4+c6EfsdZEkmSUwCfbj88d\nTTAY7Gc53eRWMeV0yjpJSrvZQhDAu8WeweVRsYFKuUE27SRLatDblZrfgFsReeXJESr1Nj+6skIy\nkCDujZKqrjOTnwdgzfEX3+Etpfr8CAhoDSdps7S2s3d8CnOGAa8LSRJZyzewbHtfEZFPCyOdIlG5\n2uZGyvn+RxKf3rwSbHbLW58wWcp0hD3CB/Rs/Ztk6RGQ3O6u+eJBVNa8igcbEHxFYgE/M3ctbtzP\n0x/3H7hDIogiPc881a2kuHahgWx0lpRQ8GMHXbIkEvS5HBpe0wla/J7HO1ehkydwRSPUFxapLy7t\n+hqtVALb3ubNshd6o14+d2GEf/wL5/n//ukrfP2Ljzes9zjYUEpaL2xuzJfvZDBMi6dO9P2VJWmf\nJmJhD4Kp0mjpZEtNPGKA4b6Pbzonez14h3Zf2MROoCKVak5n6YD0T1GWGX/lVfSBGIHhEbwjw/jG\nxwkeP0bvZ14mGIzgkd1U2jXcLpmvnHweUfcjSyJnjxyswLAX3EmnO/iwEt7D2OgsdZOlgEp432Rp\nt86S2VXDE7ckKC5JwbJtbNvmycHTXV+ZTxPjnQDvRxvJ0seYW9sLam8vZjRA7NgodXKk81UO9Yxw\na94J3E5OPB5VLeoPoOkmhZqzWRmmxZrLC4qMtJrFtqyuKmalI/KwVFpByBaJ+HvwJvZOot2qzK/+\nvXP0RrykczWCPpXPXRhBGe6nMdZL7NlnEEQR3XI2Wpe081qoPVHiL71A8DGHhbdipC/gBA01jXKz\nRrFRI+YP/ZUNWYfcQT4/8QKnhoaw1Srvzzv08U8zWQp6XWB1gi5bJOj9eF2r3qiXSr1Ns23gkl3U\nGhrVhoar80w1t3RB2pqJZFnbaHjgFPYsy+Ly3XWOjET52w/Nje0FQRA4e6SXZlvn6kyWI7EJZFHC\nLbl5kK4zmgx25cY/LQz3xBAFgVSxSF3fSJa81Jsbks77B7KjHR+jdGlz9qjSdIJsz8QI8Refx/+Q\nOMsGVFnGsCysXVRrDwrNNLABVXY6S9giDU3rdocf/V6dlmbAATpL4CjihV0SsYiMWGvhCoU+sdy0\nKAr81POHENpBbj7IoSlCt7OkN1vOnNSWNduREbeplmvkMyUQbLxh/64dki88NYJLkXjt4gKmZXeF\nnRp6i6gnxN35Cm6XzPjA9j1F9vqQRQmj09my2tqnliyJoqOIl8537pEfU2cpHvbglt2U6hqpklOw\nOTX86bEoYHMOc0Ny/eMiV3aS5cgethwP42+SpX0QPn2K3s++jGegf9/Xbqh8Wdh8+dxZBEQsy2J6\n8vFoFqKikPjsy/R+5uUdniaw2W7/uHz6DUQCKoWqI3UOB6fhbUCQJHqeeRpBlileutzlAG+FVnBm\njx5W0doPf9XKLRteSxuLCcC7H0MF768TsiQScPkoVds0mgbHh/q3GWx+qn+rM8ckVRrIsvxYMxbx\ncC/PfPHvMv2lnyX2zNP0XHiC8OlTSKqKIAgMBBO4JIUXRi7wU0+d4tzRBK8+PfqJfSG8Q4OOjG/0\n0dTEgOon0PFa8vhN3KpM5IA0PLHtBDx6h4YnGxaiLG8b1t9Ijo7EJkj4PznlajeMDTjJa7OtI4oi\no5/Aqf1huBU3jbOTjD1/AstTJJVtMB4Z4cZ9R0L64YrpfogHnWNbzjlrQ72pY0kW9WgQSTNpptJd\nVcxyu9qZw7qH1NDoG53cN3AK+lz8458/z9HRKL/4peOoioTXH6I+3AOd66KZzpqnSLsHEZ5k8sDG\nsLshGnTjVd2Uam3upVexsek/QMHok8Cv+vj605/Hq/V3A/HgAaumB4HXrSBazjkRLOlAHZHdsNnV\nd5KiVM5ZgxOdrpvW2OxYaLqJhIkgsu16bPztoE/lH/7MqcfaLz573hk2/+57i7hllRdGL9AnT2BZ\n1jYK3qeFqCeI36uQrRaptTvJkuLtzlwd5DwOJRx6U662aZC7IbAQ9vnw9PfvKRAiSRKWZWNu9Z55\nTLQ68yEuRXJiKkuipRnoHUPu/5+9O4+Tqy4T/f85e+3VXdWdXrJ0dhIIgSSQEEPYjCgBRkZEEF86\njndGx+t1lJ+OynidcRzHDZmXXB0ugs4AGu4wcQYGlZEBZDFIWAIYIJCEkIWQvfel1nPO749Tp7o7\nCUlVd1V3ded5/wPp9VSfqlPf5zzP93lOJJvPksnaXhle5OTrMc20UByHdFcHiuNglbl2eCfLz2gm\nGfbKlXsVhfzAAHYuTy6dQTH1YVmjQCgAiktfzwBdR7oxDQXzHRbV0ZDJxcum09mTZsMf9pEM1TO9\n0IAiSJxDnQMsmJk4Zi+dFgygqap3HI6Nm8t7jZRK6OhbivpoAKfQ8bSUUs9KUFWFaQ319A1kae9J\nEVCDzGis7HUvHPSCpWz+5M+9E2kvNPZIxkrLWp4CwdLo7qwpmkZgSml3uP1gSVc1LjptESvP9AKs\nZQvKL+dQTbM4+PVoWiBAyxVriZexsfZ46mMB8nm7mF0ppcHD0YxolMQ5y3ByOY78fuPwYWBArrMQ\nLFV5oVCuYmap3Xvs3X0ZtuxsZ860uuIskImgPhzDdlyUvDWsLWmlaYVmB0rexoyVf6evIZQ4bskT\nwJKWRVxx2hoawgk0VeEvr13CNe+eP+pjNuvrmXr1HxNqm3HCrwvqAerCQXTLprFRIWwET5r98fdB\nqVnv7lbescnZebScfUzN+bzkLBY2zmXRlOOXj1VCS0MEy/De7KdPiVT07nhA9869G+jBCroc3Kdj\n5xW2v9XFzJb4Ma26T6a5zguW3m737pL3DmRBzTPQVIeuavTveJOwGUJXNbrTvRzubye1bz+xQITo\ntNK6Kk1JhLjxT5YXG4QEjQAu0J7q5I32XRzq8wK942WWKkFRFGY01DOQzvH6vrcBaBvlza1SBC2D\n8+edgd45C617esl3TUuhqgohs5BNcvSSMiLH449u8N939h32brK1Nns3KLLpwcxSNmejOg6aog7L\nLE1rjKBpKp++ejH10fIyXK2NEc6c4zUR2rW/h4ZQgkMHvQzJOw1AH42IFSYWCpAjxeGeHgxVx9QM\nBsrYsxQLmwTUIF39/cUFcH9hz9DJ9lz4ZeaZUSwu/ZInSzfQNZWAYZHO2uTswVKoR57dwzf/+Rly\n+eEZrIydJZXNg6uVdK3wr5/ZQ95rNFBfmfk8mqpwyZLZuK7LlkN94Lr0dPagOjkvWFIHr5nBQte+\nQ0e6cdIDmIaKdoIbD5e9ayaapvKrDW9i2w5nNZ/OnEQbAx3ec/3MOcc+BtU00XQTp1CSrOTyaBVs\nyOI3eYCxyywBtDV5a71M1mZqvKniVToRqzJ7ljoLeyOTUcksAaPPLJXDLx2Zl5yFqZt84soz+N+f\nWFGVC7AeCo2q1SwMvpjeOuiVupSbWfKFZrYRntlGtr2d7gBc8JgAACAASURBVFdeHfa5bEcniqZh\nxCp3p7sSYmGTgKlzoBAsPfvqAVzXnTBZJV9jYZOo19yhMm8qxzN0oRKoq2zgqyjKsDeqSlJ1/aQX\na0VRqA/FuOS8KSyaW0998OSvV1XXvaYXmeFleFreQTWHLwiSoXrObFqAWqE7hsejqQozW73nQiVL\n8GAwWNrbu5+WhjC57ij/8dgb2LZzzKblUkxNesd3sLAvsy+Vw1XzuNEwgcZGUvv3Y/f3E7Mi9GT6\n2N6xE729h0SwjmDryF6f/o2sx3Y+zQv7X6E/l6I50viOAXwl+IuG7fu8Rd+8UeyBKsdFy6ajOCZq\nLjzi7M87CZuFhbmrlbXHdaimhPczDnR4ixU/s9Q8pR5FgeyQLmuZnI3mOqiqgjKkwcPaVbP40Rcv\nHvE179LzvBso//2MVz6+/S0vcK9GZklVVBqjcVw9w4HuLsJmEEVRipmlUoJORVFIRqL0pbN0pbz3\n675sGkPXCJ6gayeAUbixNZrFZSbnXeesQoVBJGCRzuSHBUuPbXqL7W91cqhzYPj32l5mqfQyPO9r\n8oV9d6FE5d7XzjtjGgFTZ8uhXrI5m86DneiOjWoaaEODpXAIBdh3sAvDzp4wswReFueCs6dyuHOA\nZ149QMgIsqz1TLbu8s7VGce5kakoCnowiJrN0Z8dKARLlWvIkogP/qzwCG9sjMSclgS43nvunMaT\nV2SVyzIMFEUha48s+D/cmeLuB7fw8pveqIvGeGlVMpM/WBphN62RSIbqWTPnfM6Y4t0VNw2NeSW0\nvh4vfseUvYcKwdII3/z8luR6JEzPa68Xh5v6zR2MutHXHFeaoig0J8Mc7OjHcVyefmU/iqKw/PSR\nNxUYDzPqW1DTMeq15uJQzGoYWs8drOCbV62IWmEClo6uq9QHSwvstWAQCuUpeSdPPpdFdRh1Q4WR\n8mvij66NHy0/WAI4c9oMFNvikef2eP+eW362ZFphs/rhwgbbvoEcqDamoRGfPx9cl97tbxCzojiu\nw9sd+4j05og3NKOPMFMyJZzE1AyaI40sbVnEFae9mwtmrqjq3sTZLd7j7E/lUBSFeVNHtwevVDNb\nYl5XKvDKSyvIz2LoilHSIMfjOTazVCjDa4yi6Br57FHBkmN7g0KNwQWfoiijKtNdNLuBloYIG1/Z\nT2dvmu1vddFQFyw7S1Wq1roEKC5dfSnCppehGEh7nTNLvevfFPcCud2HvL2CqWwa01Cx9BNfb/TC\ne286O/LMUjFYKpzzSCBA3nYYKJyrgXSOvYe8DGFHz/DGD9m8N5BWcfWS1mPFzHyHdzOlksFS1Aox\nZ1qcfg127uum53AHqmujWvqwYEm3vAYJaj6L4WQxAobXIe8ELl81G1VR+OWGN72yR8dly852ErFA\nsez/aEYohJLJ0dvfA4477H12tOqHBKbBMQyWZrbEURwdXIVF77AHejRURcVQtbLL8N462Mtt/7GZ\nL/3wSR59bg/BoMLS+VOIS4MHTzQ8NrWavkSwrqJtEqvJH1yWzXndhoKjePNRDYPkSq8Fd/vTz2Bn\nMuS6e3Adp+ZK8HxNyRB52+H13R3s2NvF6bOSJd35qiXNiShaXytntLVUdeE3NLMUrlBZRC3x52wB\nJWWWwAuWlFwebIecnS/MyRje3GEsvWf5DNa+axbLR9FF8HiGliSeP38RsbDXCjdg6mUPbgaYmoih\noNJR6EblZ5ZMQ6Vu5mxUy6L/zZ3EdW9RrXf1kbCiI84qATRFGrlq4Xu5YOYK5iZnFjNN1TRnagJc\n770gHgoOZmXGwP94/yI+8r6FJOOV/Z11gRi4CiFt5DdmGuu9zMohP1g60kddJOC1cTc07MxgsJTN\nOV6DB01FGWUlxVCqqvCe5TOwbYf/99BW+lPZET2XS9VWaA/f058jbHiLs/50DstQSr5uTy3s3dl9\nuB3XdRnIZTANjcBJSkmNQhCQHkUZnp+VChT2jcULTXM6CjOxvLmIXilj59HBUqHBQyQQKGlvmW76\nQ4JtVMvCCFXuJmBAt7wW+yGNN9/upmv/IVBcNMtAVwaDJc200DUFzc1h2hn0SADjJH/nxvog71rc\nyr7Dfbyw9RB7DvTQn8pxxuyGdzzHRuHmT2/HoeLvrZT6IWV4o93/W46WhjBGugmtr4l506qzVtA1\nfVhW8524rsvW3R3cfM8m/vdtT/H0y/tobYzwJ380jysuaWZGS+ykrx/fxFjVj8Jo9yxNZomjXkyj\nbQ5gNSSJn7kIO5Wi45lnyXZ4d8BqNVhqKexb+s8ndwCwcoKV4AGcPivJtClRLlpa+Ts4Q+mFUg8V\nhUD9yGY51bKoOfiGfLLmDj4tGERVVJRszmuDnfPuFFdiTsZIJONBrn3PaVgV7uYV1AOoikLMijA1\nNqW4D2jhrGM3LZfC0HUiVpDuQsvc/oEsqDZB08QwLSJz5+BkswQOe5vZrfY+4laspCY7taSxLoip\nes+FpljdmHbYbGuOcemKynahAkhGYuids6jTRl5SqGsqDXGvfXg6m6e9O0VLYxhN1VBMHTeXJW97\n+16yfhmecfJy2nKtOquVoGXwzKteY59qVoHMbPQWzL2pbDFQH0jlsYzSXz8zGgvtwzu6SGdtHPKY\n+skzS34ZXjY3imCpEGgFTL+xhvcYOgpt3rcWhsjDsZmljO1llmKlzrMZcv1US9x8XypVVYkGgkyb\nXU8ma/Pa5p2Aix4wj8osWeiaiuHk0N2cN2OphJLdK86fDSg88OQOXtnhlRGeqFTZDHmPb6DDK9XV\nS/wblSIRHZ89S7qmsrRtDvMbZ5W9n7VUpqaTO0EZnuO4vLD1EH//z8/wrTufZfP2w8yfUc8N1y3l\n49e00mVtoz83wMy6aZgldqcdu7/gOBnLPUsTTX1s8Ik80hK8o8UWLiBz8CCpt/eR9Zs7nKQb2Xjx\nuzK9vqsDXVNZtnBsymQqKREL8A+fXlX132MU7vZpulFWJ7yJws8sldLcwacFvSBCzeRI5dKFgbSV\naf1aS3RN510zziFihFAUhdVnT+XxF/byrsUjD17qwxH2tB+kdyBTzCxFC/OwInPn0LPlNbQ9B7Bm\nGTSndPRgAPM4M+dqmaoqJKMR9vekmTpJsrHRkInimIQDo3uOT0mEePXNI+za7wXErQ1hNEVFMXQ0\n16ZvIEtdNEAma6M69rASvEoJmDoXL5vGg7/fCcC8GdXLLCVDdYSDBl29GW69dwvp3jdJZfIkwqUH\nS7ObvJLXgz1d3kBbNY9p6CddxBt+B8jRBEuFzJI/EDRemLHV3e8149i2e7CleWfP8JlOfakUtu1Q\nHy8tQzR0345W4n6ScgT0ANNnxjiiaWS7u8EEPTi8DE+zLDRNJZhPYRoKasgqKVhqaQiz/Ixmnn11\nP+2FoPFE++rMsPe+kyoMrdartGdppM1YRuovr11S1Z9vaDo9zrFzvvK2w9Mv7+fB3+8sNo45e/4U\nrjh/Fi1NJs+/vZltB9oxNYMV085kRnxqyb9z0meWohIsvaOh9dkjbe5wNEVVSZx3HqplYQ+kUFS1\n5Jk8Y83viAfeZPexTFVPNH4ttR6LVKy1aS2JWhECullWa28vs6ShZPOk8xmUnBcsjdeepWpqjTYR\nKzSwmT01zh1/vWZU+/uSkSgo3v6Lnv4sKDbRgHfzQg+FCE2fhtPTxyXGbBrUMIHm5gn5vJua9LKU\n81on3o2Y4/H3QI22cYS/h+OlbYcBL1hSVRXF1L09a4XyrmKDB7M61+Y1y2egKgqWqTNtSvVuAgV0\ni+kN3nMhn9VpqPMa8pw7v/QSs6a6KLqq097bQ1/K2+cXNKyTZtz89vij6Ybn7w8JFILWukJmqWtg\ngGzOZuf+bqYkArhqlo7e4YvYrsLcrPpIaXtDhl4/9brKB7BBPYBhqkyd0YDiArgYQWtYGZ6uGWiG\nhpnPEgrqOAETo8RmMFee7w0J7hvIMqM5dsIb9oFCsJTp8vZnGYHKBUvxsFl8bky2tY2p6TiuXcxA\n+75z13P85D9f5kD7AOefNZV/+PQqPn/dEpRQN//9xpMc6m9naqyJ9829kLa6aWVlqyd9ZqnSJSmT\nSdDSCZg66Wx+RG3D34keCpJYfi5HfrehJps7+IZuujzvzIlXgjeW9FAIFAWjQjMvao2ualw272I0\npfTnqp9ZUjI50vn0cQfSTlYjKb8bqjHmLUz3tnfSkx4AxR220TYyby4De96i68U/ePspp07M1+e7\nFk0nVJdhfuvYdMKrNv99YrTB0pR671y/uNXbq9HSEEFXbBTTACVNX/cAtCbI5mx0x0Ezq7NUScaD\nfOzy09FVtWoz6sBrSHHhmXNZOKuOqxauKc702bRpU8k/Q1VV6kNR2vt66O5L4yr5wVbuJ+CX4aVH\n0w0vnwdXIWh5570+UthrM5DhzX3d2LbDlJl9HNy7myPdw8uYuwb6wVWoj5RWYqYNCRiM48yZHK1A\noaT8tNOb2bfzIOCiBYZ3w9NUFdXSvWG0ARXXMjDU0p7zM5pjnD1/Ci9tO8Sik8ygC4S966Db04cC\nGBXMLGmaSjxs0dWXJjSGZXhjwdQNUFwGMjliIe98Oo7Ljr1dNCXCfPlj55CMB+nL9vPEro0c6h+e\nTRpJSe/k+guKstXHAuw/0lexzJIvNG0qDeevGnH3qrEQChjURQKks/myBwefamLResxVy2huPf6U\n+Mmg1DuHPi0YREFBy+bI5LMYhczSqRAsjVZLvbcI2t/RTc+AV7YzdE+D1diIURcn19UNikKgeWJ1\nqfTNa2hDUV0aw5OjDM/fAzzash6/BPpAYSh4a2OYnNqPZunkcOkv7IXJZHNYuGijGBB8MhcvK212\n12gtbV1EKpceNvy0XA3RKIf7Otm69zCoDpESgiWzUIaXy498KK33vUpxllsy5p2/3lSKbbs7cXEJ\nxtIEAhodHT3Dvrc3lQZXK7nTYLHrnKJgxiofLAULe7wiDVHmTKvjSCaNaurDGnNpioYRNIEM4ZBO\nyjIwyzhvH1ozn3Q2zwVLTryXOBj1MmdKoUTSDFZ2xmMiHqCrLz2me5bGgv+c7k+ni8FSfzqH47pM\nbYyQiAV4o30Xmw++Rt6xmRprYlnLmQSMkQejk+svKMpWH7W8YClY+XLFUBXaRlbaX3zAG+xbySGe\nk5Gmarx72WXjfRg1RQt6Xb30rEMaCmV4yqQsw6s0v7PXge5u+jIuhq4RGvJGpigK0Xnz6HjuecxE\nYtjd5okkGaonGZo82di50+u4cOl0Vp9deq3/8TQNyeoHLYO6iEVnKu3dzQf6erzSrXwmi6qCUsVg\naaxEzDARc3Q3D5vj9by2fw+vvb0PgHDg5Nkav8V7ua2Wh8raXmbJLDSkSMYKmaV0mq17OnGNFPGo\nTtDS6ch5pXn+e2pvKoXilDaQFkA1LVxVxQ1ZWCUEg+UK6N7PzFs6Z85t4M2Ofrotc1i2QVc1IrEg\nUxfEsYIKe8oowwOY2hjhxj9ZfvJjCUdQ8PsIghmobLB06Yo2dh+oJzDJgiWrcD3oSw/uj+vu8/4/\nFHaGZZPOm7aY6fHWUTeImVx/QVE2vyNepedxTBQLZ9Vm8wlR+9TCAl7PeXdslVweTTHGrRveRNKS\n8LrDHentpT+jYcbUYfOcwBt2nT54iFDbjHE6SnE0Q1f5xJVnjPrnNNZ5zUJc16W1MYyiKKiqimaZ\noLikCpmlfCaHolDRtuET2dSEl4nYdeQgGJTUYc6/C5/Nj7wML5fPo7gqlukFQPFQwOvul85weH8X\ndYk8lhkiaGq4Wo7O3gxNiRCO49CfyZQ8kBa8ErjU4lm4hl5ys51yBAs3ZXKWhgU4rntMUx5N1XAN\njVjEIJ3P4lhG2ZUHpdBME9U0sbNZAIwSgt9yrDyzhZWTcItBoDCguj+TLX6spz+LY3VzQDlCvL+u\nItmkoeQKdIrze/FXqhueEKcKVddRTROt1w+WbFTFnHTd8KohaoUIBw06+vqwsxZRQzsmWFJ1nYZV\nK8fpCEU1GbpKMh7gSFeqOExbU1Q0ywBcUv1ek4BcNuPtC5RgCYC2Rq+cM4tXvhgrYXFt+pklexRl\neLZfhuf9LE3VCBoGR7r70LN5mqfYKBRaVKtZOrrTNCVCZO2sNwzXLT2zpCkadtJrClVKB7pyBQuZ\npYypEQEc10EzjhMs6TpO2sVWAV3DLHHPUrm0YLAYLFkVLsObrKzC+UplBm8A9PRnscOHCJgNnDdt\nSUWySUNNvPZCoqJmtngXpWp2AhJistICAbTsYGZJ1Q1Z2JXAUHWiAYusk8ZR8liGViyPEacGv8lD\na4PXEUxTNfSADgqk+rwyPDuTRVGVqrQOn4imNSRRVQVX94LJWAmLa78b3mhah+cKZXjWkEYbQdMC\nxcZVc0RjLk2RRoKWgavlih3x/BlLXhleiSMZhuwdMkscGFoOv8FDuvCjXdc9Zp+prmi4uobrutim\n7u2fqkLgBqAPOYeGNXaDqycyfzjywJAB1p29KVBtGsNJZtSNrInDiUiwdIpbtmAKP/j/LmLu9OrN\nmBBistKCQdS8DbaDksujWydv5Su8PUmJcBRXzXvzYvRjy/DE5OY3eWgtZpY09KAJuKQHvMW2nc96\nmSUJlgCIWkGiQYtCz+uS2nH7TRmyJxjieTI52wZXLe5ZAgiZFq7i4Jp9JONBWqNN1IXCXhleYcZQ\n1s6RzuYxNZNAiR0N1SEjAqxqBEuahQKknRxaMIiDe0xmSS2U4Tmug23p3l5UtTr7mvVCF1DVMoc9\ndvHOAoXqjVR2sAyvo8+bq+TPAKs0OTOnOEVRSu5SI4QYTgsG0VQVJZtDydnoE7QRwXhIRqOg2rha\nDlPXqrI/QdSui8+ZzgVLpnFGob2ypmpoAQMUyKTS2LYDeX/PkpSJA6iKSqIwm0cB4iVklqxRdsNz\nXIe8Y3uZpSGNkMIBL7MUjGYJB3RaolNojMZBzXOk2ysTzNhZMlmbSBl7cdRhmaXKn3dVVbF0i3Q+\ng9XURC4WRDuq052fWXJwyZsqhmpU7SaYWegYLOXbpQsWAu+BIcFSZ7/3nKsvvD4qTYIlIYQYIS0Y\nQFFU1FQWJW+jV3iD7mQ2pTCs2tXTBE2randuRW1qa47xP/5oUbFrmqaoYOjomkIulSkMpLVRVQV1\nEnTDq5SGqPe6MQytWFJ2IsXW4SPcs+Q4TmH4pzKsa2wkEAAF6hpsYoEoYTNEY8w7tsO9XvvwVNY7\nj+Xc7R86665apW9BPUAqn6ZuxTkMnDMf/ahrj6aqoGu4rkPO0IqljNVghPxgSTLrpQoUMoHp7JA9\nSymvdDcRqc64GgmWhBBihLRg0JutVNiQLpml0rXUewsrFJdwBYcxiolJURQUw0DTIJtKk805aK7X\njl+CpUEt9V7JvKl7GZKT8dssjzRYyrs2tuOiKtqwYdTxsBcAJeIWLdEpACQjMVRFob2/Fxi82z90\n4PTJ+HuWFMqffVeqoGGRd2wyeW/Pi3ZU+ZumatjRII7rko0Fqha0weBgWk26qJYsXPhbpXODmaXu\ngX4URSmpQ+RISCGwEEKMkB8saYUN6ZVu/TqZNcXjqKqC47hE5e8mAN0wUDWV/ECWTM5GdW2vDE+C\npaLpSW/chanrGOrJl3CDmaWR7VlyHAfbdo75XYtmTeFIupG25hgtES9YilphgpZO14AXLHUUWsDX\nhUsPlvwyPFMzq1b65u+P7Mt6wdzQbBZ4ZXhONITz3pVk+g5RV6VOeDBYhqdVYabUZBU0/WBp8Dnd\nm0kRMLVia/hKk8ySEEKMkBYMoCkqap+fWZJFf6kiZqg4siBa4WGMYmJSVQ3F1NDsPF29aa8MT1FQ\npcNk0bRkgkjIpKkuWlIwETBHl1myXRvbdovDbX1h02RWaxxLN2gIeQFcxAgRsHT6MgPkbYeuQrCU\nLKERhU9RFBSqV4IHg4Np+7Le8R1bhuf9O2V7mQuzinvmwslG8g1x9GnNVfsdk004UOhomPPK8FzX\npT+TLnRVrU45o1yBhBBihAbL8FJe2YiU4ZUsZAQJBw16+rMlbVQXk5/uB0uuTXv3YLCkmZJZ8sUD\nYdacO4O6QKykr/ebMuRHGiw5NnnHIXzUvh2/RK4p0ljs4hYuDKbt0LJ092UG95HESt90rygKQSNI\nxKzO3hMYHExbzCwdHSwVMk3pvHcTzKhiZikUCJM6azaBpARLpQoVyvAyhTK8VCZP3s1hmVpJpakj\nIcGSEEKMkBcsKSi245Xjyd6bkgWNALNb4xiaRmuitIWfmNxURUUxdTQnT0dP2ivDUxVUQ/Zz+CJm\nGE1RCZulZbH91uEjzyw52LZbHG7rCxveDY6psabixwzN8DrfaV109KS9YMlVSETKy7ivmXM+ulK9\nhi/Bk5ThqaqKqiikC3uaqpnliloR3jV9GYmQjG8pVahQhpfNe2V4vQM5UPNYplGVdvMgwZIQQoyY\nomlolgW93kJPlU26JdNUjemNdTTWhwjJMEZBYdFqaaiuQ0dnP6proyqgVLEb2USjazoXz3pXSZ3w\nAKxCCVneGdmepbydJ287mIHh56A11sS7Z68iERy+yK8PRXHVI7R3pehLp8DVqCtzPEm1Z64F/MxS\n5vhleOA9F3OFv1k1u+EBTIu3VPXnTzYhvwwv75XhdfdlQM0TNksrTR0J2bMkhBCj4E9gVxVV2r+W\nKWR4QZIMpBXgBdCqqeHi0tnZh1bMLEkZ3lCJUF3xtXMygUJmyWv/Xb5sYT6TedS+MVVRSYbqj1mc\nJiJRUFwO9PTQn82gOBp10dp6fQcLe5b6c16wdLyxBUM/Vs0yPFE+SzfQVIVcIbPU05/FVW2iVvXK\nuSVYEkKIURgaLGlWbS0Kap0ES2IorVCGB9DV2Yfm2KBpMoNrFHRdQ0Ed8Z6lgVx5TQ4aI15J7aHu\nLgayGVR0woHaCjYs3UQBb9gux5bhwfBsUzXL8ET5NEVF1zSytpdZ6ugdAMUhFqxeGbwES0IIMQp6\nyA+WFCnDK9P0eCtN4QZiVnWmrouJRVNVNMsAxaWnu9/LLBkaapVKa04VmqoWA4Ny+YM/TaO0UrTm\nwhyow/2dpDN5QmYAVa2t86cqarEjHrxzGZ5PgqXaoigKhqoV9yx19vnzvKrXFEQKgYUQYhRMfwK7\nrqNIi+OyTI+3Mj3eOt6HIWqEpmpohb0xuVQa1XVA14qzd8TIaIo24mApk/UWpFaJ17YpsTgK0D7Q\nSSZrU1fFu/2jETQsUoVud8cvwxt8zlVrOK4YOUPT6S88N/3hx3VVDJbkCiSEEKMQiERRUDACwapt\nLhXiVKApGpplAi6aY6O5NhgSLI2WrqrYzsj2LPmzbI7es/RO4oEIAUunfaATx63dgdNDS3+PGywN\nySxJsFR7DE0nZ+dxXZeuAS9Yqi9jnle55DaoEEKMQiAcZW6yjWCiYbwPRYgJTVM19IBXhqc7eVTX\nQdF1CZZGSVM1cvbIuuH5wVKgxCYbAd0iaBp0ZLwZS/FgrQZLQ8rwjrNnaWgAZaqyVK41pm7g4pDN\nO8V5XvWR6pVzyxVICCFGQQsGMTVTBtIKMUp+gwddUzDtLODKnqUK0FQNe6R7lgrBklXiniVFUYgF\nBsuh6sK1OXDaH0wLx88sDd3HJJml2mPqOigOqXSO3nQKy9AIG9LgQQghapIW8u6cqhIsCTEqqqLi\nGjqGrhaCJVClDG/UdFXFdkfYOjznZaQCZukBQzwQLf5/XRVLo0YjeLIyvMLHNEWVbow1yAuWYCCT\noz+TwjI1LL16DZYktyiEEKOgh8Mkz1uBmUyM96EIMaHpqoaraxiGipnO4iqgGLpklkbJzyw5joOq\nlhd4ZvxgqYxZV4nwYDlUIlK9TfejETBOUoZX+JipSYfTWuQPW+7qT5GxM0QNbVhpZaVJsCSEEKMU\nnjVzvA9BiAlPVTTQNQy9UIanuiimZJZGy9A0UCBnO1jlBkv58vYsATRGY8X/T0ZrM1gK6icuw/O7\n4RmaLJNrkR8sHezsA9XGMvWqtniXK5AQQgghxp2fWdJ1FaPQkEAaPIyeHwyks9myvzeb9/Y6BczS\ng4Yp8bri/zfGa3OG2knL8IqZJdmvVIsChpfxO9DRB2qesFndbrRyBRJCCCHEuFMVFVQFzfIW5opC\nocGDLFVGw9C8hb9fUleOTKHBQ9AsvRytpa4QLLkKiWht7lkydbNY3nm8Mjy/wYOhSrBUi/w9dEe6\n+3DVPNEq7xmWK5AQQgghxp1f+qRZRuHf4MpQ2lHzg6V0tvxgKVvI8AXLaPDQmqgDFyzNwtBrszmC\nqqgEdAsFjpuR8LNNUoZXmwJ+GV5XLygusUB1g3J5FgghhBBi3PkLVD3gLYRUVQFdlQYPo+Qv+DN2\nruzvzRXK8IJW6cGSZRgkg0nCZm13CI1bMTRFO36wJGV4Nc3PLLX39YIKsaAES0IIIYSY5PwF6mCw\nBK4mmaXR0kdRhpfN58FVymodDvDt669DrfEYd8X0Jbiue9zP+YG7BEu1KVQoC+3N9EGw+vO8JFgS\nQgghxLgrzrYZkllyNbWqG7dPBX4ZXjZX/mDanO0FS6ZRXsAaCdZ+kHGiQEgrBOi67FmqSUHLC5Zc\nzcuWJiLVbSQit2uEEEIIMe78BaoRHMwsIXuWRs3Qvfvi6dwIyvBsG1CwjNrce1QtU8JJpsVaaI01\njfehiOMIFYIlNK/DY7WDJcksCSGEEGLcFe/mD80sSbA0aqafWcqXX4aXd2wUVz3lgqWAEeBdM5aN\n92GId+B3Z3TVPLqmErGkG54QQgghJrliB7KgiWVqBEwNV1MlWBolv8HDSIKlXD6PoqhompwDUTvC\nVmFOluISMDUCQ+ZmVYM8+4UQQggx7vwGD4qlsWZ5G9ObIqBJN7zR8svw/AGz5cg7dnHPkxC1IhwY\nnPtlSbAkhBBCiFOBn1myNRVDV8HQQVEkszRKZmHWUW6EZXi6zBoSNSZomPi3UAKmgVHlroVyBRJC\nCCHEuPP3LDmFki9X85ZD0g1vdPxgqdzW4Y7rkLdtuaSrWgAAIABJREFUDFUyS6K2GJpeLA0Nm4Gq\nXyMkWBJCCCHEuFNVb0li697Cx9E0VMksjZqpe3fds3Z5wZLt2OQdt7jnSYhaoakaeiFYiljBqv8+\nuQIJIYQQYtypitfMwS5klKS5Q2WYhU52uTKDpbxjY9uO7FkSNUdV1OLzMhKQYEkIIYQQpwhNUbH9\nMjxdRUFK8EbLKjR4yJXZ4CFTmMvkN4gQolYoioJeCJbqQqGq/z55BQghhBCiJmiqhq2qmPX12OQl\ns1QBpt863C4vWEplvGDJlGBJ1CCz0NShLhSu+u+Sq5AQQgghaoKmqNiKS/P7LiU3u0WCpQoImN6i\nstxueKlCZsmUMjxRg/y9dPWR6gdLcrtACCGEEDVBUzWydhYAx3VlxlIF+JmhXLmZpawXLFlGddsy\nCzESs1rqyCtpmuLRqv+uMQ+W8vk8X/nKV9i3bx+apvHtb3+badOmDfuaBx54gLvvvhtN0/jQhz7E\n1VdfjW3bfPWrX+Wtt97Ctm2+9KUvsXTp0rE+fCGEEEJUiaZo5B1vUe+4DoYq93RHyzK8v2G+zGAp\nnfUzS3IORO1Z2NZAskEhNBm74f3qV78iHo9zzz338Gd/9mfcfPPNwz6fSqW49dZbueuuu7j77rv5\nyU9+Qk9PD//5n/9JKBRi3bp1fPOb3+Tb3/72WB+6EEIIIapIU1Uc1wG8YEnK8EbPzwz5QWip/MyS\naUiwJGqPXpj/FdCtqv+uMb8KPf3006xZswaA1atXs2nTpmGf/8Mf/sDixYsJh8NYlsW5557LCy+8\nwPvf/36+8pWvAJBIJOju7h7rQxdCCCFEFWmKhuO6OI4jwVKFBAy/G155e5b8bniWBEuiBtUFYgT1\nACGj+pmlMX8FHDlyhEQiAXgD6DRNI5/Poxdqaod+HiCZTHL48GE0TUMrbDK86667uOKKK8b60IUQ\nQghRRZo/mNa1cWXPUkX4wU6uzMySX4YX0GXPkqg9Z0w5jdOnzB+TGypVDZbWr1/PL37xC5TCxc51\nXTZv3jzsaxzHKX7e/5qhjv73unXr2LJlC7fddluVjloIIYQQ40FVvJuitutllhTJLI2aqesogO04\nZX1fppCJkjI8UYsURRmzOWxVfQVcc801XHPNNcM+duONN3LkyBFOO+008oUXojakLWVTUxOPP/54\n8d8HDx5kyZIlgBd8Pf7449x6663DvudEji7zE7VFzk/tk3M0ucj5nNgm+/nb3beLQ5l2nh94nn1d\n++g3etnUWf09CeNlLM6n67o4rkNvf29Zv2/n7j3Yts2hAwcm/fNupOTvcmoY89sFq1at4je/+Q2r\nVq3it7/9LStWrBj2+bPOOouvfe1r9PX1oSgKL774YrEL3r333su6deswymhjuWzZsko/BFEhmzZt\nkvNT4+QcTS5yPie2U+H8uW8baJ0WZ8xZxL4dnTRHGlk2c3I+5rE8n9amjRi6Vdbve7lnAO3wHubP\nmc2yxQureHQT06nwejyVnCjwHfNgae3atTz11FNcf/31WJbFd77zHQBuv/12VqxYwVlnncUXvvAF\nPvGJT6CqKp/97GeJRCLccccddHd38+d//ue4rouiKPzzP/9zca+TEEIIISY2v8NVzvEqT6TBQ2UM\nbcleqkzOOwfS4EGc6sb8FaCq6nHbfn/yk58s/v+ll17KpZdeOuzzN9xwAzfccEPVj08IIYQQ48MP\njvJ2bti/xehoqoqdLzNYynvnIGiY1TgkISYMuQoJIYQQoiZohcxS1vYzS9INrxJ0VcN2ywuWsoV9\n5QFTuuGJU5sES0IIIYSoCVqhG15eyvAqSlO1EXfDC0qwJE5xchUSQgghRE3w5yzlHCnDqyRdVck7\nzjHjWE4kZ3uZKMksiVOdXIWEEEIIURO0QnCUkzK8itJVDRQH2ykjWCpklkKWBEvi1CbBkhBCCCFq\ngibd8KpC13RQXDLZfMnfkys0hAha0uBBnNrkKiSEEEKImuDvWcpJN7yK0jXv7+i3Ay9Fzs6jqgqG\nplXrsISYEOQqJIQQQoia4GeWBhs8SBleJfjzq8oJlrJ2Hl1VJWAVpzx5BQghhBCiJvh7lgZbh8sy\npRIMzRurWWqw5Lou6Wyu+H1CnMrkKiSEEEKImqAWuuHlpRteRfmldP6g2ZM53JkincuRiIaqeVhC\nTAhyFRJCCCFETdCLe5Yks1RJeiFYSpeYWXp9dweumqc5Ea3mYQkxIchVSAghhBA1QZVueFVRLMMr\nsRveK3veBsVhfnNLNQ9LiAlBrkJCCCGEqAl+Zslv8KBIg4eK8MvwsnZpZXjb9u9H11ROa5FgSQgJ\nloQQQghRE/w9S47rDU+VzFJlmHohWMqfPLPU3ZfhSH8HiViAKZFktQ9NiJonVyEhhBBC1ATtqOBI\nWodXhql7ZXjZwqDZE9n+VheukWJKXYSoFan2oQlR8yRYEkIIIURN8Ocs+SSzVBn+nqVs7uTB0pbd\nh3C1HHOmNEsZpBBIsCSEEEKIGqEq6rBskgRLlWEapbcO3/L22yiKwoLW1moflhATglyFhBBCCFEz\nNGUwuyTBUmUUGzycpAwvncmzr/MwdVGLppjsVxICJFgSQgghRA3R1MGliexZqgxLNwDInaTBw463\nu7H1ARriQZLBurE4NCFqngRLQgghhKgZqmSWKs5v8JCzT5xZem1XO66eZkYyiaEZY3FoQtQ8uQoJ\nIYQQomboQ5o8SIOByvD3LJ2sdfiWvftBcTmtdepYHJYQE4IES0IIIYSoGUOzSZJZqgzLbx1uv3Ow\nlLcddh4+QCxsMq2uYawOTYiaJ1chIYQQQtSMoZklCZYqwzS8krr8Ccrwdu3vIaf0k4gFSIbqx+rQ\nhKh5chUSQgghRM2QzFLlBQx/z9I7Z5a27+nE1VM018eImOGxOjQhap5chYQQQghRM4a3Dpc9S5VQ\nSoOHLXsO4mo55jXLMFohhpJgSQghhBA1Q5MyvIqzCpmldyrDcxyXrfsPELR0ZjY0jeWhCVHz5Cok\nhBBCiJoxfM6SLFMqIWAW5iy9Q7C0v72fgXwPyXiQZCgxlocmRM2Tq5AQQgghaoYmc5YqztROnFna\ntqcT10jREA+SCMTH8tCEqHlyFRJCCCFEzZDMUuVpqoqmKuSd4wdLrxeG0c6a0oheCKyEEB65Cgkh\nhBCiZgzLLCGNBipBUzRUVSFvO8f9/Gtv78cwFGY3No/xkQlR+yRYEkIIIUTNGNrgQbqyVYaiKGiK\niu0c2zq8vTtFR6qTZDxIY1j2KwlxNAmWhBBCCFEztELpnaqoEixViKIoaJpG3jk2s7RtTxeukSIZ\nD5AI1Y3D0QlR2yRYEkIIIUTN8DNLMmOpsnRFO+6epa27O3CNFK31ccJGaByOTIjaJsGSEEIIIWrG\n0MySqBxNVbHdY4Ol1/ceQtVt5ja3SCZPiOOQK5EQQgghaoaq+JklWaJUkq5q2I6D67rFj/Wncrzd\neYRELMCUiOxXEuJ45EokhBBCiJqhqxIsVYOmqrg42M5gsOTNVxogGQuQDNaP49EJUbvkSiSEEEKI\nmqGqfhmelIRVkqHpoLjk8oNNHra91Ymrp2isC1EflGG0QhyPBEtCCCGEqBmyZ6k6NE0DhgdLW3d3\ngJFh9pSmYS3bhRCD5EokhBBCiJoh3fCqw1BVUFwyuRwA2ZzNm4cPEo+aNMeS43x0QtQuCZaEEEII\nUTM0afBQFX4Qms15HfHe3NdNXu0nGQuSDMl+JSHeiVyJhBBCCFEzNGnwUBW65v1dM7k8ANt2e/uV\nkvGABEtCnIBciYQQQghRM2TPUnWYug5AOuuV4b2+xxtGOzVZR8gIjuehCVHT5EokhBBCiJohwVJ1\nGH5mKZ/Hdly2v32YcFhlWn3jOB+ZELVNrkRCCCGEqBm6ZqAqCrqqj/ehTCpDy/D2Huwl7fbSEA/K\nfCUhTkKuREIIIYSoGbqqcf6Mc4mY4fE+lEnF0LwlXzafZ+uewf1KDaHEOB+ZELVNgiUhhBBC1JTm\n6JTxPoRJxyyW4eXYtqcX10jRWFdPXSA2zkcmRG2TMjwhhBBCiEnOb/CQyeXZuucIVtBmen0DqipL\nQSFORF4hQgghhBCTnFEIlg509NGV6SZZF6AhLCV4QpyMBEtCCCGEEJOcX4a3dXeHt18pFiARqhvn\noxKi9kmwJIQQQggxyQ3NLLlGimRdkAbphCfESUmwJIQQQggxyVmFYAnFQQ9kaamvI2AExveghJgA\nJFgSQgghhJjk/AYPrp4hUWfQKPuVhCiJBEtCCCGEEJOcaXh7llxjgEQsIMNohSiRBEtCCCGEEJOc\nZQxmlhriQZIhCZaEKIUES0IIIYQQk5ylGwAoikJDXYh4IDrORyTExCDBkhBCCCHEJBcwvWCpPmrR\nGE6gKrIEFKIU+ngfgBBCCCGEqK54OMAZs5Ik4gEpwROiDBIsCSGEEEJMcpqiMm+GFyRJsCRE6SQH\nK4QQQggxyanq4JJPOuEJUboxD5by+Txf/OIXuf766/noRz/K3r17j/maBx54gA9+8INce+21/Pu/\n//uwzx05coTly5fz3HPPjdUhCyGEEEJMaJritQ6PmmEs3RznoxFi4hjzYOlXv/oV8Xice+65hz/7\nsz/j5ptvHvb5VCrFrbfeyl133cXdd9/NT37yE3p6eoqfv+mmm5g+ffpYH7YQQgghxIRlaSZRM8yM\nuqnjfShCTChjHiw9/fTTrFmzBoDVq1ezadOmYZ//wx/+wOLFiwmHw1iWxbnnnssLL7wAwMaNG4lE\nIsyfP3+sD1sIIYQQYsJSVZXL5l/MGVNkDSVEOcY8WDpy5AiJRML75aqKpmnk8/njfh4gmUxy+PBh\ncrkc//RP/8QNN9ww1ocshBBCCCGEOAVVtRve+vXr+cUvfoGiKAC4rsvmzZuHfY3jOMXP+18zlP/v\n22+/nQ996ENEIpHjfp0QQgghhBBCVJLijnHUceONN3LFFVewatUq8vk87373u3niiSeKn3/22We5\n9957i3uZbrzxRt73vvfx4x//GMdxcF2XPXv2kEwmueWWW5gzZ847/q6jS/yEEEIIIYQQ4mjLli07\n7sfHfM7SqlWr+M1vfsOqVav47W9/y4oVK4Z9/qyzzuJrX/safX19KIrCiy++yFe/+lXuueee4tfc\neOONfOADHzhhoATv/KCFEEIIIYQQ4mTGPFhau3YtTz31FNdffz2WZfGd73wH8MrsVqxYwVlnncUX\nvvAFPvGJT6CqKp/97GeLpXdCCCGEEEIIMVbGvAxPCCGEEEIIISaCMe+GJ4QQQgghhBATgQRLQggh\nhBBCCHEcEiwJIcQkI9XVQgghRGVIsCSEEJPI1q1b2b9/PyBB00T1+uuvj/chiArJZrPjfQhiFLZu\n3cpbb7013ochKuTpp59my5YtZX+fBEuiqlKpFD/4wQ/o6ekZ70MRxyHnZ/IYGBjgtttu46Mf/Sjf\n/e53AYYN/Ba174knnuATn/gEP//5z8lkMuN9OGKU7r//fv7X//pfvPLKK+N9KKJMb7/9NjfeeCMf\n+9jH6OzsHO/DEaO0Y8cOvvrVr/IXf/EXPPTQQ0B5NxPHvHW4OHWsX7+ehx9+mAMHDrBo0SLWrFkz\n3ockhpDzM3ls2LCBW2+9lZUrV3Lbbbexc+dOABzHQVXlnlite+utt/g//+f/YNs2ixcvRlVVLMvC\ndV0JeCegp59+mnXr1gEQCARobW0d5yMS5bj99tt57LHH+NM//VOamprYtm0bixcvHu/DEiN0//33\n87Of/YxPfepT/Omf/ikPPfRQ2e+NEiyJiuvo6OCWW24hnU7zhS98gd///vfMmzdvvA9LFMj5mXx0\nXee73/0u06dPZ8OGDTz11FNcffXVEihNELt27WLFihV88IMfBOBzn/scHR0dJBKJcT4yUa729nZ+\n8YtfcO2117J69WpuuukmNm3axHve857xPjRRonnz5vHBD36QRCJBNpslGo0CyM2LCSifz7N48WLW\nrVtHIBDgN7/5Daqqoqoqtm2jaVpJP0feSUXF9PX1ARCNRoulQKeddhpHjhzh8ccfH9+DE3J+JpGu\nri6++tWv8l//9V8AnHfeeUyfPh2A008/nUQiweHDh8fzEMVJ3HfffTzxxBMArF69uhgo7dixg+nT\np5NIJGTP2QSRz+d5/vnnSaVSJJNJbr75ZlavXg1AY2MjjY2NgOwhrFXbt2/nr//6r+nt7QXg4osv\nLt6o2LNnD88///x4Hp4o0969e7n88st55ZVX0HWd2bNnEwgEAFi4cCHPPPMM6XS65EAJJFgSFXLv\nvffyqU99ildffRXDMJg7dy6u6+I4DvPnz6elpQWQN4vxIudncnnjjTfYv38/99xzD7ZtAxT/29HR\ngW3b1NfXj+chihPo7u7m//7f/8tzzz3Hjh07AK9kEmDWrFls3LiRbdu2oSiKvCYngG984xvccsst\nbNq0qfgx//X49ttvFz8u57I2vfDCCzzyyCNs3LixeI7y+TwA733ve+np6aG7u1uyShPE3r17SafT\n/Mu//MsxnwsGgyxdurTYBKlUEiyJiti1axdz587lvvvuK37MdV1UVaWvr4/f/e5343h0Qs7PxLd5\n8+bi/2/cuJGPf/zjtLa2cttttw37urlz57J169ZittBftInx1dvbSyqVAuC5555j+vTp6LrOCy+8\ngG3bqKpKPp9HVVXWrl3Lhg0bAGnSUav8Lne9vb3s2rWLxYsX89prrxUzuv6i+/3vfz8vv/wyAwMD\nUhZbQw4ePFhsopJKpfjwhz/M+vXrOXDgAOCVNgNkMhmi0ag0QaphuVyOjRs30t7eDnh7QL///e+z\nffv2YjMH/2aUZVns2rWreO79j5+M9vWvf/3rlT90Mdm9/PLLvPTSS8yaNYt8Ps+GDRtYu3YtL7zw\nAoqiMHv27OICYN68efz0pz9l6dKlJBIJHMeRBUCVyfmZPF5//XX+9m//lt/+9rds374d13W55ppr\naGtrY/r06fz0pz/l/PPPJx6Pk81m0TSNSCTCz372Mz7wgQ/IAm2c2bbN9773Pf7t3/6N559/nkWL\nFrFgwQI+8IEP0N7ezrZt24hGozQ3NxfP1f79+zl06BBtbW1EIpFxfgRiqIMHD/LDH/6QZ555hpaW\nFpqbm1m0aBHTp09n8+bNuK7L3Llzi+eyp6eHgwcPEg6HpdFDDXjqqaf4zGc+w/bt2/nNb37DZZdd\nRltbGxdffDFPPfUUR44c4eyzzy6ev3g8zvr162lqamLWrFnjfPTC5+8fe+aZZ/irv/orDhw4wPr1\n65k1axaXXHIJLS0tJJNJbrvtNq677joURcG2bYLBIFu2bOFXv/oVV155ZclrHQmWRFny+Tzf/va3\nefDBB9m/fz8vvfQSiUSCD37wgzQ1NZFKpXj00Ue56KKLME0T27YxDIODBw/y8ssvs2rVKlmIV5Gc\nn8nnvvvuo66uju9+97vYts33v/99LrnkEiKRCMlkkn379vHYY4+xZs2aYg12IpFgx44dzJ07l1gs\nNs6P4NT2u9/9ji1btnDzzTezadMmXn31VQBmzJhBXV0dr776Kl1dXcyZMwfLsgAvW7Fx40bOOOMM\nafJQQ/r7+7nxxhtZuHAhwWCw2FVr+fLlNDc3s2PHDvbu3UsymSSZTAJgGAaPPPIIgUCAefPmlbVP\nQlRWT08Pt99+O3/5l3/Jxz72Me6//346OjqYO3cuoVCIqVOn8vOf/5wFCxYwZcoUADRNY9++fWzZ\nsoULLrhgnB+B8PnrlHXr1rFy5Uo+//nP4zgOd955JxdffDHBYJA5c+bw8MMPs3//fs4555xiALxs\n2TIeeeQRLr74YnRdL2nNI8GSKItt2zzyyCN885vf5NJLL6Wjo4N169Zx+eWXo2ka4XCYV155hYMH\nDxZb4CqKQjabpbm5We7MVJmcn8nhwQcf5MiRI8XudgsWLGDOnDnMnDmT3bt38+tf/5q1a9fiOA5z\n5szhvvvuo7W1lTfffBPHcWhtbeXCCy+UQGmcvPrqq+RyOWKxGA8++CCKorB69WrmzZvHgQMH2Lp1\nK6effjrJZJKBgQF27dpFfX09vb29hEIhZsyYwdlnn820adPG+6EI4PDhw4TDYfbv389DDz3EN77x\nDZYuXcrAwACbN28mHo/T1NREKBQqbiqfN28eXV1dxONxkskk5557LsFgcLwfyimnp6eH++67j+bm\nZurr6/n1r3/NjBkzmD17NvPmzeOhhx6ioaGBlpYWmpqa2LNnDzt27GD27Nk8/PDDLFy4kKVLl0qg\nVCMOHTrEXXfdRWdnJ1OnTi3uT1qyZAmnn346Gzdu5PDhwyxZsgRFUVi0aBG33HILy5Yt44EHHiAW\ni9HY2MjatWsxDEMyS6JyHnjgAR5++GEGBgZobW3l7rvv5o//+I8JBALMnDmTZ599lp07d3LOOedg\nWRaJRIL//u//5vDhw2zZsoV58+Yxa9YsWYhXiZyfyePNN9/k05/+NP39/dx///3U19fjui7PPvts\ncQ7WypUr+eEPf8gZZ5xBa2srkUiEZ599lu9973vU19fz7ne/G8MwAKSkcoz19fVx00038a//+q/s\n3r2bl156iauvvpp//dd/5cILLyx2RXvzzTfJZDLMmzeP2bNns2HDBu68804effRRVq5cSSKRIBQK\njfOjEdu2bePrX/86jz7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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Tracez les rendements du portefeuille ainsi que l'actif en lui-même\n", "portfolio.plot(alpha=0.9,label='AAPL avec Hedge')\n", "asset_ret2017.plot(alpha=0.5);\n", "benchmark_ret2017.plot(alpha=0.5)\n", "plt.ylabel(\"Rendement quotidien\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Quels sont les effets réels ? En général, on sacrifie les rendements moyens pour une moindre volatilité, mais cela dépend aussi beaucoup du titre :" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0011399935632582228" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "portfolio.mean()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0018808609159293456" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "asset_ret2017.mean()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.009066375411652783" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "portfolio.std()" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.010484461271996029" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "asset_ret2017.std()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Bon travail!" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.5", "language": "python", "name": "py35" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.9" } }, "nbformat": 4, "nbformat_minor": 2 }