From 8805a9b83ad7a74737e9331f8b71fdf160157e08 Mon Sep 17 00:00:00 2001 From: ritchie46 Date: Wed, 20 Mar 2019 17:52:05 +0100 Subject: [PATCH] error fixes --- training_bayesian/2_mcmc.ipynb | 300 ++++++++++++++++++--------------- 1 file changed, 163 insertions(+), 137 deletions(-) diff --git a/training_bayesian/2_mcmc.ipynb b/training_bayesian/2_mcmc.ipynb index caf1788..7502b46 100644 --- a/training_bayesian/2_mcmc.ipynb +++ b/training_bayesian/2_mcmc.ipynb @@ -83,7 +83,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -99,13 +99,13 @@ "metadata": {}, "source": [ "## 1.3 Likelihood\n", - "$$ \\prod_{i=0}^N{P(x|\\theta)} $$\n", - "$$ P(x|\\theta) \\sim NB(\\theta) $$" + "$$ \\prod_{i=0}^N{P(D_i|\\theta)} $$\n", + "$$ P(D_i|\\theta) \\sim N(\\theta) $$" ] }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -114,13 +114,13 @@ "Text(0, 0.5, '$\\\\sigma$')" ] }, - "execution_count": 22, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -150,7 +150,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -159,13 +159,13 @@ "Text(0, 0.5, '$\\\\sigma$')" ] }, - "execution_count": 24, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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s+rJf7lXjj0+M2zG3Ldln55adleVzVs8Jx0wb4+JguZ6HgXKZJrH0KXPpJnFVG0+Qoz0dQBGSB4AiJA8ARRgYdxYpeUJckz3iNrG+0V8XJv/pDX8anFQ/sU9sCJOkp06eHLosSadP10wGtDU3MK76PW2Zqf5ePWfLjmSf87adW1mOA/t2Zmoe8bpsnW3wNL4GAxPbqHFE3HkAKELyAFCE5AGgCDWPs1jx5LpJX0cczJXWPOIgsPg0uNOr1Ql6JOlUTc3jSKaHI9Y4njmWThgUax69UM/Yti2d2Gd1dXjN49ytaZ/HedurNY/ztp5XWc73eVRrQ8lkQJl60rR2RXHnAaAIyQNAEZIHgCIkDwBFKJhuMiUNR7HJKtckFguBsVgYB8FJ0rNL1YJonBn9JwtpwfT4M/UF01ML1eJsk4Jp3GbLlupMYhfsSJvEnh9mbl8IBeBcY1wsLMfrNtfgaXxu6e/8ZEb1FmZT584DQBGSB4AiJA8ARah5oFbdbOpSbrb02CSWqXksx5pHdZunn11I9jlxvFpnePp4WvM4eap6nF6vGu+O7WnNI9q2rTp47un5+WSbWLOJA+NyEyCthuuUNIU1mD29sPVv7LjzAFCE5AGgCMkDQBGSB4AiFEw3uWYzV1U1axJrMJPYUrUgemyx2tx16mRaMD1+IozEPZHOJNY7Hs4VCqYn5tPRrjNhFO38fHUU7bHz01HBz4b4T69UtylpEusV/P/oCnceAIqQPAAUIXkAKELNY7NpMsN6nEmswWxXcV2cSSz/xLhqjeBkeNLbwkJaZzi5EBrAYn1Dkp4J+8VwV9L4T26rHndhIcRyOlOzWa5+j4uhxhHrPlKmxpFcy9H//0hpI1kbk49x5wGgCMkDQBGSB4Ai1DwwslzfQS8UFlbDe/nc+/+lXvX9/+JKmIF9ufp1SVpcCsdZSI+rhbDfaog38ytzZTHUaJaqyyvLmfhXV8NydZv4FD0pnVgpHXSYQ58HgLMIyQNAEZIHgCIkDwBFKJhucrlSXP386k2OGxvLMkXWOCt7Ly5nBuCFImuu4StZF0+9kvmOwj7x3LlYYvx1xdAzrduoOrnzMLM3m9l3zOxRM7ulixgArE/rycPMZiX9naS3SHqlpHea2SvbjgPA+nRx5/HLkh519++5+5KkOyTd0EEcANahi5rHxZJ+uGb5kKTXxI3MbK+kvYPFxR1zOw+0EFtTF0k62nUQa0xbPNL0xTRSPE/VLEvSfesKZ+quz+Wj7tBF8sgN+EuqSO6+T9I+STKz+9x9z6QDa4p46k1bTMQznJmNnAu7eNtySNLuNcsvkfSjDuIAsA5dJI//kXSZmb3MzLZKulHSFzuIA8A6tP62xd1XzOw9kr4iaVbSJ9z94Zrd9k0+spEQT71pi4l4hhs5Hss17wBAHdrTARQheQAoMnXJw8zON7P9ZvaImR00s9eZ2YVmdqeZfXfw+YKO4/mgmT1hZg8OPt7aYjyXrznvg2Z23Mze19U1GhJPl9fo/Wb2sJkdMLPbzWz7oEB/7+D6/MOgWN9lPLeZ2WNrrs+VbcUziOnmQTwPm9n7ButGew25+1R9SPqUpN8d/HurpPMl/YWkWwbrbpH0oY7j+aCkP5yCazUr6ceSXtrlNTpDPJ1cI/WbEB+TtGOw/DlJ7x58vnGw7qOSfq/jeG6T9I6OXjdXSDogaV79P5r8q6TLRn0NTdWdh5k9T9K1kj4uSe6+5O7H1G9f/9Rgs09J+vWO45kW10v6P3f/gTq6RkPi6dKcpB1mNqf+D8hhSddJ2j/4etvXJ8bTdV/TL0r6L3c/5e4rkv5N0ts14mtoqpKHpJdLOiLpk2b2DTP7mJntlPRCdz8sSYPPL+g4Hkl6j5l908w+0ebbqOBGSbcP/t3VNTpTPFIH18jdn5D0YUmPq580npF0v6Rjgx8Uqd+oeHFX8bj7Vwdf/rPB9flrM9t2xoOM3wFJ15rZ881sXtJb1W/cHOk1NG3JY07S1ZI+4u5XSTqp/u3TtMXzEUk/J+lK9V8Qf9l2YIP37G+T9I9tnzsnE08n12iQpG6Q9DJJL5a0U/0R3FErPQq5eMzsXZI+IOkVkn5J0oWS/riNeCTJ3Q9K+pCkOyV9WdJDkjIzSQ83bcnjkKRD7n7vYHm/+j+8T5rZiyRp8Dk3Tqm1eNz9SXdf9f5j0v5e/ZHCbXuLpAfc/cnBclfXKBtPh9foTZIec/cj7r4s6fOSXi/p/MHbBqndIRHZeNz9sPctSvqkWn4NufvH3f1qd79W0k8lfVcjvoamKnm4+48l/dDMnhvhd72kb6vfvn7TYN1Nkr7QZTzPXeCBt6t/G9i2d6r6FqGTa3SmeDq8Ro9Leq2ZzZuZ6WevobslvWOwTZvXJxfPwTU/pKZ+baHV15CZvWDw+RJJv6H+/7vRXkNdVHtrKsFXqj/a+ZuS/lnSBZKeL+ku9bPjXZIu7DieT0v61mDdFyW9qOVrNC/pJ5LOW7Ouy2uUi6ezayTpTyU9ov4P5KclbVO/fvXfkh5V/63Vto7j+drg+hyQ9BlJ57T8Gvp39ZPqQ5KuL3kN0Z4OoMhUvW0BsHGQPAAUIXkAKELyAFCE5AGgCMkDQBGSB4AiJA+MlZnd81xH7mDg1TQ9bwdjRPLAuP28+h2KkvQq9bsocRYieWBszOylkp7w/mA4qZ88vtlhSJggkgfG6UpVk8U1InmctUgeGKdXS9ouSWZ2mfrzWPC25SxF8sA4XSlpxswekvQnkg7qZ0O8cZZhVC3GxswelXSVu5/oOhZMHnceGAszO1dSj8SxeXDnAaAIdx4AipA8ABQheQAoQvIAUITkAaAIyQNAEZIHgCL/D2C8LBJS+4C1AAAAAElFTkSuQmCC\n", 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\n", 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" ] @@ -193,7 +193,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -202,13 +202,13 @@ "Text(0, 0.5, '$\\\\sigma$')" ] }, - "execution_count": 31, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -236,7 +236,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -245,7 +245,7 @@ "array([65, 75])" ] }, - "execution_count": 38, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } @@ -256,7 +256,7 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -267,7 +267,7 @@ "CompoundStep\n", ">Metropolis: [sigma]\n", ">Metropolis: [mu]\n", - "100%|██████████| 10500/10500 [00:01<00:00, 5297.18it/s]\n", + "100%|██████████| 10500/10500 [00:02<00:00, 4563.95it/s]\n", "Only one chain was sampled, this makes it impossible to run some convergence checks\n" ] } @@ -283,24 +283,12 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 10, "metadata": {}, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/miniconda3/lib/python3.7/site-packages/matplotlib/axes/_base.py:3455: MatplotlibDeprecationWarning: \n", - "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n", - " alternative='`bottom`', obj_type='argument')\n", - "/opt/miniconda3/lib/python3.7/site-packages/matplotlib/axes/_base.py:3455: MatplotlibDeprecationWarning: \n", - "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n", - " alternative='`bottom`', obj_type='argument')\n" - ] - }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -317,7 +305,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -326,13 +314,13 @@ "(0, 10.0)" ] }, - "execution_count": 50, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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aMf9XwB9c071EREReW1cOzMaYLwH/MfArV38cERGR19t1zJj/R+C/BdI13EtEROS1dqUcszHmrwEf55y/boz58T/juveA9wDeeeedq7yliIh8DopRvfCs3IeGW4t9nfKT/PCi3ueJ37mzzx//yFv7vPI7y/0ZzAfz/fWLanzu8n5uOM5rm0vyyje5dnnsqjPmHwP+ujHmT4B/APxlY8yvf/KinPP7Oed3c87v3r1794pvKSIicnNdKTDnnP+7nPOXcs4/BPw08H/mnH/2Wp5MRETkNaQ6ZhERkQm5tl7ZOeffBX73uu4nIiKfr3FP6vmoJ/adxT40GFPvr9/lge+Ovv/n7uy//85qn1e+vdjnlcfnLtfFuHZ5/57js5bta5hXHtOMWUREZEIUmEVERCZEgVlERGRCdB6ziMgNN87TjntPl6Mc73JUu/zWct8v6tZs//pil4d+a1Tb/PZ8X8c8ziuvRnnl+agndun37+mUV76QZswiIiITosAsIiIyIQrMIiIiE6Ics4jIDTHOzI7TtOP87TivO/f7EHC72ueHC3txTnpZDNffqcunrx2MzldeKK98LTRjFhERmRAFZhERkQlRYBYREZkQ5ZhFRF5hl51dbC+pXfZuP65H5yHfzvu88aoc55vtp65fVKPa5tH5yuf6YCuv/MI0YxYREZkQBWYREZEJUWAWERGZEOWYRURuiMvqmMc53nFNcc77a7y7eJ5WjHLS1S6HPBvlpsf3G5+vPH5Po7zyc9GMWUREZEIUmEVERCZEgVlERGRClGMWEXnFnKtdHiWKz+WVL6ldrvJ+Pjaub06j+4zzw+Pcc7XLJ4/v5y/pq22tcskvSjNmERGRCVFgFhERmRAFZhERkQlRjllE5BV2rkaYcY53/3rBxXll70aFzCPncsyj8ZPXrXpff640YxYREZkQBWYREZEJ0VK2iMgr7LLSqXNLzJcsPY/LnsaL0JeVPT0Zasn686UZs4iIyIQoMIuIiEyIArOIiMiEXCnHbIz5MvC/Al8AEvB+zvmXr+PBRETk+VzWkjONqqIsF+eHLzsyUvnk77+rbv4KwH+Tc/6GMWYFfN0Y889yzv/6Gp5NRETktXOlpeyc84c552/sxqfAHwBfvI4HExEReR1dW47ZGPNDwL8D/N513VNEROR1cy11zMaYJfC/Af91zvnkgu+/B7wH8M4771zHW4qIyCdclg8elSuTzx0TqfzxFF15xmyMKRiC8t/LOf/mRdfknN/POb+bc3737t27V31LERGRG+tKgdkMf279z8Af5Jz/h+t5JBERkdfXVWfMPwb8Z8BfNsb8y91//qNreC4REZHX0pVyzDnn/wsuKYoTEZHJUV55+tT5S0REZEIUmEVERCZEgVlERGRCFJhFREQmRIFZRERkQhSYRUREJkSBWUREZEIUmEVERCZEgVlERGRCFJhFREQmRIFZRERkQhSYRUREJkSBWUREZEIUmEVERCZEgVlERGRCFJhFREQmRIFZRERkQhSYRUREJkSBWUREZEIUmEVERCZEgVlERGRCFJhFREQmRIFZRERkQhSYRUREJkSBWUREZEIUmEVERCZEgVlERGRCFJhFREQmRIFZRERkQhSYRUREJkSBWUREZEL8VW9gjPlJ4JcBB/xKzvmXrvxUIiIvQX3l/48osveNb3z96y/yc1eaMRtjHPA/Af8h8CPAzxhjfuQq9xQREXmdXXUp+98D/t+c8x/lnDvgHwA/dfXHEhEReT1dNTB/EfjT0dff3r0mIiIiL+CqGRVzwWv5UxcZ8x7w3u7L1hjz+1d835ftDeD+y36IK7oJnwFuxue4CZ8BbsbnuAmfAW7G57gJn+GrL/JDVw3M3wa+PPr6S8B3P3lRzvl94H0AY8wHOed3r/i+L5U+w3TchM9xEz4D3IzPcRM+A9yMz3FTPsOL/NxVl7L/b+CHjTFfMcaUwE8Dv3XFe4qIiLy2rjRjzjkHY8x/CfwfDOVSv5pz/n+u5clEREReQ1eu2ss5/1Pgnz7Hj7x/1fecAH2G6bgJn+MmfAa4GZ/jJnwGuBmf47X9DCbnT+3VEhERkZdELTlFREQmRIFZRERkQhSYRUREJkSBWUREZEIUmEVERCZEgVlERGRCFJhFREQmRIFZRERkQhSYRUREJkSBWUREZEIUmEVERCZEgVlERGRCFJhFREQmRIFZRERkQhSYRUREJkSBWUREZEIUmEVERCZEgVlERGRCFJhFREQmRIFZRERkQhSYRUREJkSBWUREZEIUmEVERCZEgVlERGRCFJhFREQmRIFZRERkQhSYRUREJkSBWUREZEIUmEVERCbkMwOzMeZXjTEfG2N+f/TaHWPMPzPG/OHu39uf72OKiIi8Hp5lxvxrwE9+4rVfAH4n5/zDwO/svhYREZErMjnnz77ImB8C/knO+Ud3X/8b4Mdzzh8aY94Gfjfn/NXP80FFREReBy+aY34r5/whwO7fN6/vkURERF5f/vN+A2PMe8B7AIvF4i987Wtf+7zfUkTktZUzYMAAmeG/jBl9/+l/Pfk6E2Mm54zZXZif3mh4zTy9wXDXLkRyzsQEKUVSyrShx1mLc46cIaWEMWCMxZiMwWCNHd7HGsiZDDhrhvffPZQBnLMYDDElrDGEnDEZsoEQI9466tJjjSGlTEiJlDPeOjCQUsYaKAuHs3Z4jt2zjz/j6Nfyufn6179+P+d893l+5kUD80fGmLdHS9kfX3Zhzvl94H2Ad999N3/wwQcv+JYiIvJZcs6klJ8GHmvHgRViHIJYTACZtk80bcu6jzggJvAuk7OlcIa69FRlQdcHuj5hTOKbHx3zeLNl00RiDJz2gcfHjzkLHUfzGWd9z72HW8oK3lrOWc6XnLQdq7KkCYFZ4VjUcxZVQWkd664DIvNqgbOWGBOZjnXbkZMFLJvQERJsm1MO5wu++MYbvHV7yYOTMx4er6msp57V5ATkiHOZt9+8Re093htq7yido66Lc7+Pz5sx5pvP+zMvupT9W8DP7cY/B/zjF7yPiIhcI2MMzlm8s8PM8xNByFoDGJyFnDIpBfoIy10Atgb6mHEkysJhrSVnsNaSgBDh9qrmeL1h3WxpQiR0gVk943CxJMVEzoYSCC2cblserDesT075zr17NJsGg8Uag8mZJnRYEk3bUzgzzKiBk22gdJYInDQb1n1L6nsylpwNfdPS94HttmHdt2xjR9e2dDGQc2bbZ/quJ2Zotj0P1h19CHT9MNufss+cMRtj/j7w48AbxphvA78I/BLwD40xfwP4FvCffp4PKSIi18MYg3eQEhhr8NZSl5k+ZJqup0sZmzPJOYyxbPtIEYclZWchZoMzAI5F5UnGgUncP2upgYebDU2baHs4OYNHZ5FZcUazBV/Dgd+QXcYYhzUly7qm61rKoqQPmaos6EPAmsz99RZi5GQTKIqCbA21K7DOkOn56OExXRe4VZaE7GgzEHqiicyqCmMSMSSqsqC2hmgMbZ+wBoric8/kvrDPfLKc889c8q2fuOZnERGR74NhVj3MpLsecrZkIolMihGspWsD3jssw/K2cbugljN9NHzxaMmD4y19DFS+ZFVFHpw84v5pIgFtgHoOHz+Gj06gruCtBXTA/eMtTddzdHhAaeC0CxQmkU3GkOljonAFsGUdIsZBSD3GWBZlwaosKKsaC9w9XHK86WljoHYFXezJyfL20QE5ZerKD7nvJysFztD1cVgJ4OLl/pdtun8yiIjI58paM+Sc0zCrjCmT8VgixiS6LmKdpXSQcyLFgHGGkAKFL8F1xK7F2wJD4qTrqQsICVIBycOtA7A9JAvew3zumVclKXTErqPH8IXVgtNuWGaunIXUY63ldj0jpcDWZPo+Yk1mOatIGEpXMKtLZnWJL0qariNkmBlPyj3WOroUSCljDOSYqOyQve1TpmL4AyXnTIgZ75hMcFZgFhF5jTlrCBlC29J0HV2fcd5RWqiqYc07pkiKsO0CmEwMCWMdB3VF02w53p4Sc8dbsxJmnvttoDttiXHYEb64BaUfZuerEKiKguMuEOcWmxLWZVaV57TrWDeJQGZRFLQksoGcDYeLOYuyYlZUNO0WazpCSNx71DErLRhPaSEZqI1n3fXUZNoYWTgD1mKAPkSKT8yQU0p0Cbyzk5g9q1e2iMhr6MlMMYbA6fqEP/rwMd97fErMEZMTmz6SQsBYQ9MB1lMWnhAjbYYUIyH1BGOpXUHllxytDkmFxXYddQmL2pADODsEm7oCWxScxGFj17yo6DIcbyI4z0E9x1lD6RwpdZxsW/re4PD0Xc+my+QcmVWOx5tETI75vCRleHi85nh9SuEsq9mchffgDH3b0/QNhEDTB/oQ8d6e+x3s6rrIQNiVjr1MCswiIq+hlDJd1/LROrBuYDmfU7qK+2cdIUZKawkpsWk6Cm/w3mOtw5iSeeExBEKEmfPMZhU5Bc5iwkUoSkddeGYmMyugMGAytGewXvfErmfmPYX3dKElEyidoSzBece8rjhtt2Qi3nhy7Akpk0LDabPBW1hWFavFjNp75rOS5dyzqDxHyxpnMk0INP1Q+tV3mU2IWKBwhqYblu+fLHPDkGsearaH383LpKVsEZHXUAZOm46Zt9jFnLSbOIYQMTZzdGvBtmnpukBhLCknvM3EGOhD4sFpR2UdRe15sDnebRjr6PuWwmfYRo47OFpCPSto256zBCbAfF5RFTMwhvW2xznP4/WW26sFR4cVXdvT9QZnPVXpCDEyqwtuzWZ0IZJSwd3bc6qyJMRE4WBZV3Qh4AzcW3eEFJlVNcfbBms8d2tL4T1F4Wj7SNcF/G5nds483Qz3JO/8Mikwi4i8hgzQdJm6rkmpIwLzumRRl3R9R4qRnGFReGLOhD5yvI1YMuumpW03rHNm0/bEnCkKT9FnvrPueHNecPDmG/ygyzzcbkl9h1ktuO0KOiInx6fc37Q8Xh9TWnh0aijKgq++/QO8eWvB8boh0mNywaqsqIuCs2bNdx494GA+I2XLybrlrapiMSvJKbHetniXaftISJmyrLEGUrY4B10XKIsCn6H0lpgSfheA/aje+0kd9cukwCwi8gr6rA5fn8VaQ+mhaRqKwnN60tDEnthFFgsIoWJROTZNx72zDp8z1lnO2iHvXNcz7j0+5jQEckzEpud4fYIzsI4Zs16TipLT7ZaHTeDN2rKt4PHJGfcegzVQzYfd0JjMHRP5w48/5k8+crgSjuYVj5qGkIe64xAzTYYv1TWFm/HdR2c0Xc/dWwvariMZx+15waZtmdee0Eei3dVaY9n0kUM75JFjzBTWUBZuyDGPfqfj2fPLosAsIvKKebJpadiz9GIlPzlnlqXnj9dbzOmW5B10gc5YjnC0MWKNpUmWW3XBWR84XbckMrfnFfPCc7ztaB9+yDZHLI7NJnF0a8GHx2u67oyDxZLSFuQm0LiW0LUU3pO6nk0YuogVBZgE92aBZUgczCqqHj4+s6xmNTEnHp6uyRZu1zUZD85y4AvONmuaLrCcFxwdVBhjOGvaoTarcNQBsjOcnG0ovSHERMqJFBK2tLR9xOQ8dEPb7dp27uXvylZgFhF5xTzZtPQkgAz/DjPoT872UkqEMDT9sID3lpQSZ9sA1vP2ouRjWtotHB3NOKxrjHWsNw3rrmdWlFhXkrctbROwznDa9rQ9pBjIzhE7KIuC+TLRp0Rp4GEDlevxBfgSmpDBQ46RagG2heUdAyGzjoCBmB0kz4NmTWq22KMVy4MVRVECmcP5gpQN275nWXiqquZwMefO4ZLQB07bYSZ8FmFlLNlZmqZl2wduzQpShtD29NlQlUO70ZQSfYTaDW1Hp0CBWUTkFZP59Mz4ok1LMUY2bcQYhsMhyHRNoAsBay3ee1IFq2h589DhraUo3NAZy3m6psW7RNMPs8psMk0b2Gw7TtYbQspkDMYEgrGYvuc49ZgMy9pSlJaz0FBZsM7Q94kYM3MPqYTYZ05OYfMQHnpYVj3Hs57FDOqFJRjD49M1qTnjcR8Jbc/t2wf4FtaF5e3FgrqqcNayjokYEzE7Sjf0+TbGYAp4q5qzmlfUpacjQ0o8+VUNwXj446UsFZhFROQFGDh3TCN8etNSzpnmSVB2bpc/NcSsO5GFAAAgAElEQVQUCCExmxXDKU4ZjIl0XcZUBWZ3BGMMQzORto9Y64ejHGMYNmb1PffXa7zzrBYz+rOetgkkZzgwmVCAzRbrMmWXaRNYB/OZJaaMcY7TdSC1sDmDNg7L2X0BzRZ6A3VIVMWGla9pXYHtI31haJvAxlnKtmNdlhylQB+KIW9ceJq2ZzErWS0qnLGcbhJVUQ5tSO1Qr2yto4uJKiasNU9nzlOhwCwi8oqx1uw2LeWnM+VPblpKKZN3QRlGy90YzK5ftNudQFX6gsebFnKk9562i2z6jpm1NCkR24YuBh6dNizLAjuruX96yqPmdDiLuR2OZOy2UC0tt+qaLkHXbekiLOcVvnCEvuO4CbgYmM8shUm8dQTrDRyfQeFhUYONsI1wfBI4NWfMHBwczKlw1FVFQcbWFoNl2wes7/He0Hc9RWmpvcft/kypK89wZeZs09KGADFRFI6tG64qHFgM7e5356y58GSu75dpzNtFROSZDSdEmf3MGYavxzNowBlzbiZojBnKoEKkj4kQI+x+dlHANkZCSCzmw0ER62QIXSDmyMOTU9Zdw72TU+6f3Odx0/HorOH4rMX4kpDYtfZM5JgovWXdZVKCx+uWNmfuHh5wd1Vx1kDpLGUBiyUcHMFXfgB8AbSwTbBcQWfAJgjFcJCGs47YN7Q5kfvEcuYoLBRmOBHLesMby5qqKtm2PSElZt6RyGTs7jQtw2kYzqE2xhBi5NFmKPl60gGsj5k+pJdWz6wZs4jIK2h8QtSF32eYQYc+AwlrLSEEMgbr/XDWcRqOevTWsJpXzJOhLItdAM+U7ZbeZjYdhOg4LOf8yfEjTs/WNH3HyRpihC8tHPPCUZlIXXmS8by5POS0bYnRMjOGBQXfOd6Ssdy9DbfqJR+dPKZtIWXYZKgMBAfzAqpyePa+hJV1bJotm23Pm3duc1BYcuHpomFWGZazAmsdhbeQDSElSFA6qIoC6MkGUjbkDEeLEmvN0DzFW2o3BOUnf9hYuy9HexmlUwrMIiI3kLWGlC2lj/R9og2RnBLL2gOGPiSst5TOUnjLpu0B2LYBtwtM0Xm2bY/LiT73fO9kTd/2zH1NwLKcrSFD4SyL5QHOGDKBw3qJtZa7ywUP1y2rao51nubBCRn44q0lVTXDN6dkIvMErnB8dx1JLdQJNuvMrII3nKd3lhAidVmQUmJr4O2yHI5w7CJdOVxrgJASfUxY5yi9o65LEpAx5JQAR1UUu3rmYdbsvCOkjIvpaU34k97ZL4MCs4jIDTRsdsrEaPCFozSGmNKwi5rdDHHXNKQPkaYPWGPwvqDtOh6vG5pty+lmzbpzFKYgAZhEZx39esvRfE7MmS5EVoWl8IaYyl2et2Dmb9GFY86aM4qiwhuIrsQwPE9lHavCYnNPSlBmCDUUJSzmhsNlTVnOqVNPkcywM5xAHSObrscYR1dZvDUcn605bhLLyjGvC0yG400AGnI29HFYru66RNMHau8pnCPlTNsH6t0u7pyHZWxvwVj3Uv63U2AWEbmhch7qlsftJts+Qh42geU05INj7CFDnyDnniYYUsokX9CFTIgds3KGdwZnPC5ltjHjZ47KOdrUYJ3BOFiVDpvhrD3DG8dhaUjJsel6lqXFeMM2RPp2y61Zjet7rC2oqjmrRcvx8SknASpvsDlS0hOdBZ9xJrOqFlRVhcXQ9T0nDcw2Bes2UnqLsY5H60DhDLXPbJpM4R0nTaS0hllVcLxpabqetw4tBoM19ly52ZMd7Na+nM1fCswiIjfUJ+udc870MdH3Aef9cNYyYPLQnrLpOh6cDnuTvTMsraGfz4jrjrOw5aiueWwc277n1uEBMWeazRkHyzlLbwhu2BHdpYSNmdO+JYTAspqxKhLffdxjDNypHNZkTrseMJhkyNnQpUCwhoN6WFZ+dNrR94nD2Qwb4FHY0oREXc6oq4Kj1YLQRx6ebHaz6YomdFTeEoFcFmRjhtIoO/TEjjlze1ETYyTmTOUchws/nCi1C8ylf/5zmWOMdF0kAg4oS/d0R/zzUmAWEblhnmxcinHYke3cUIDT9oG2i2Qy3hgCmRAyXdvQZou3Fmc8xhpCzhQ240vHvCvY9oGIoXCwbVoO5zOODpZsYk9lC4rCkHvAZfp1Q86WPjeUDrYxM7NwdOcWC2OgnsF2Tectabfr+/Rxx6Ntv1tCNjwOmbeWBcvFiq5pCA5Sn2n6BucsPkSazrMsCrpocCmTTKTylmwsTciYbYurSzAG5wvqyu8aiTisLYkxUpWemBLWGKyzu+MfwT5nUD7bRpwbytOefL2cvdj/fgrMIiKvgGc9tGLcR9s5Sx8SsY8YM65dHnKrGYsxkbMuYIzHFIZ113B2FvA+4z1gHH2GwhVU1pNCIM2XHJQVkCjJNH3Pto3cWSx4uO2xwDpkZq6md1DHyPeO19yZ1XSzBW84x6asOHSWb2/vk/rMo3bXN9tYfF1QblqSL1ifbTlptizrmnk1x3vHncUKkxMpG5q+JaWAMRaawNpl5nVN4TMdBRgwJhFDJhUOZ4dDLFIKeDvUdnd9piyG32dKiRShLp89MHfdPijDk3+HGfSLUGAWEZm45zm04pN9tAtv6bpAyhnnLJZhmTb0kZQifUiAoSgcZ9uOro0kB32faHrDqjbMZwU5Jh6dNjzaNNyeL0g58v/d37AsHZUrOd6e8e1HpxzWHmsLAHosjx8/po2Jhyc9KXe85R3f7bYcnx2D9aSQ6a1nXgZO1lAUiU1seXPmmJuCk7wBYwhm2DC2brast2tiTrx9e0nsanyR6ftI6ec4kzjebDla1Ng5nG0dlTO40tOHSFl4co7kPLQMJcOsssDwe7XG4PzTVe1nEuFTy9ZPZs4vQoFZRGTinufQinFe+eks2wzNSCrv6OLQkMRZQ07Qxsi88sSY8M7QWs+t2rJte1LOFKVlbixdshSuorTQZ8tZ11GYTM6Z+5szYuxpukCMhpg8ud9wb5NoA+QEhYVvfQ9OTx/hC2gCzKqebQ/OBlI3NBExCW4vC3zh6UmcnvYYD7bbEKsZBsemCYQeWBnsYjiass+GsshUszk5JrYhsDAZY6FLhlnKeJdIKVJYWM4LnHOEXcnUJz1PcxHHsJw9Ds4xRl50T7cCs4jIxD3roRWw76MN7GfZu9eMtdiUMGbY3EU2HNQFhsR3jltiPyzJbptANJnbiwprHHXpcF3A2cxsPqfC0PaBWWG5d/YIby0pe5LJtH1H6Bu+9TE4N/TBJsJqDlUB224XyFrwFdgA6wjWQ+khG+i3PQ82PUcHBdFDv4a2zBTdhpl39AnuHliWqyNSt8Y5T2kKjHfcmS/p+p4YOzAOaz2z0uGNISfLcl4Ou8uftCp98rv5M/qOf5aydJxthw/6ZKYcI8xm2vwlInIjPU/weNJHO6V0boY9/Aeqwg47kBNgLaWD09Ywt5H7fU8KmYjh9tyzDYnaZVIyGJvZbJrhqEcsberYtB3OOox3+GQw7ZpHXWCeoZoNB1IQoevh4WNYlMPsGQ/Gg98MbTxjPwTq5Ia2nF0e/hgJOVMayDU4C4WBeT0jpDPq2Zxl4TiLNSn0HCzm2BTBWUoKghs2sxV+WKbuM9icMGSssZ/6ff1Zfcc/i3OO5WzINT+ZKc9m2pUtInJjPU/wGPpoQ7drkW1gF5yGJfEEVKWjNtB2lj5GSpeGzVPGUnooqgKsxYSILyJtyKQQSTnQx0DTAbHncbPBmwTBD8cnFnOO8poOw9tF5MOQiRWY7XBQxcNTSP0QtJcH0PZAhJMzmFmYvQkrB62B25XF25pby8jptiUbiCGxWhbcWrxBzJmUhmdvup6Hjx5x62BO27b0oaE0jqpaUFiHc3Y4LSsbUuZcffKT31dK+ekfO849X6kUDMH5RWfIn6TALCIycc8bPIbr7aeWwK0Fx3ByUowJ7y1tH2hCICTLQe04Xm9pziLW9NiceHQa8dYTY0cXLbV3eAchAd2GsxbOEiwLWK3mbI3HhJ6jg0OyPeXjB5HjDk7XcHsB32vhoIVbu3zySQOpA38IXzisqYuKk7MTuj5R+IzzjoPFkto6ztoNIcBqVtKlzPG24c68xrnAOrSU1hD7lk0fqRaW1HccR2hDR+UKjpYlJn86p/xZfce/3xSYRUReAc8bPP6sWXaMkU3T08fE400DMYOF03UGCma142Td89FZy8pbZnXJg5MT+gyeBL5gWZfcq+bMfWRV1hyfHPPotKHKiW2Ce2dndOtIv4btCRyWw3GGRw7aAPcfw63bcDCDvARnIITEw+aYRw/h+BHMbq25cwCLmSd4x6KoqBzUhWXlDG3uSDny5VtLSn+LJllmheULM8OmjWy6jHOJ0niwloihDZkqDYd6PGsJ2vebArOIyA30pFd2CGlIJzO050wpcboJpJxoQiQnCDiIHUXp6LtEFyPrZkOz3ZBKT5cyD7YNVVGyDT0+ZB52LdvNhtMGDucR7xx9E3kALBzkJvDN7w7nLK8WQ41ydrBdQw+kFmZbyAXMqqE/9nrbcbqGR4+gBcIZnG3h9iKwWASqW55FUWKdA+N4c7lk0wSK2ZyDeckX6hJrLDn1hNwyKwuK0lM4T0xDK1Jroe8jzmX6mLG7eu8Ml5agfb/pPGYRkRso50xMYJ2l8A7rLDFB0/Rkk/HeE6OhKIZd2esuUhWOsvKEpufRJlKXc6ytCWmoa960Lfc3W9Ztz6PTNfdP4OExHDeBsxhpPRQeDmaO4wi378Ibd8FbKFZDfrlwQ2CuCpgfDJu/NmEIzusNPPwYPt5A2w6z2LmHsw10W4hm+BMjhkgPdG3ElQW57zjZ9sQQKL1h3UYWdYErPGZ3DvOsLEjGYa2li5mY8tNTpIaVhaHjV0ov60ypPQVmEZEb6JO1z8NriXUfnu7SLovh6EPnPLV31M7gDXT0LEsDJIxNWOs4mM94dHJCt255cHzCo5NESkOAvf9w2FXdd7CoPZQ1B6XlB79wwNEbkCvYPoLHJ/AgwhJYVFBWsDqAuhiCYtvBow4OllCtwJXDz1az4brD5YrSVHRYQtdxGiJFTlB4LInTpmfbNLR9jyFTWSi8wRlDiIHKDb8Dt+u7Od6tPvy+Xt5Rj2MKzCIiN9AnG42EOBz1aLMhhLg7ZWqomiIFFnVBszuE4WA25/ZyRZsh9ZGmb7EksIaZZ8jXZtj2w/J0iPDg4TCzpQ2stz1gOTk7pQBWNRzcgmjgtoW3f2AIvADz2TAzPmnAG1iYIWgfHQ3L2+XweJANc1fgC8fZekuP4aDwuNkcD6xmlr4fmqK888YS5wqakCBDTpGYDKV35Dx0ORvXez8JyM9bv/x5uVKO2Rjzd4C/yfB/A/8K+Pmcc3MdDyYiIi9uXPv8ZPYMQx3zSZPwLoKxFDay6TOHs5Kq6Gm7xHEIpNryb91Zctq0NG3HCT1HpSdZj+kDj1Ik9bBphuBZLcBluHcMt1cdzhnalGlb8DXkDu6uIDqwBuoS+jNY+1298y4wtwnseqhnNhFOeljWcDgvKLwnJ1jN53gDAcMsRbIDay0/eHfOfFbjnKOuItumo48Rbw3LyjOviqcbvIzh6eY4AHZHPU5hd/YLB2ZjzBeBvw38SM55a4z5h8BPA792Tc8mIiIvaLwr+8lsMMah+9esHHYjNyFQOsvycE5derpQ4n3EFZbHZ5HWdxhXYd0pGMMbiyXffXjMR2db5gcQ7ZD7dWbo8nX7EOxueTsVNbPtlmo5tNo8ifDmG8Omrr4HMsQ4NBU5ugtND5uzoUPYyQb8PUgVvHUHbt+B1WxGH1pidtQlYDxN2zCf1azKkhAtzhcUzmKsxTtLVe5OkCo8fldeNu477p0hxkTKUDjzQvXLn4er7sr2wMwY0wNz4LtXfyQREbmqc7XPKQ07jr0l5eEwiC5EaobGGN4ZQky0XU8XIiYb6tISQx6Wh/tA5RyzsuLOMhJy5nTbcWZ7FsshFzw3UDsLNmN9xZuzktPSsN0Gcu7pigwRDqoh4LZDx0xCC40bOoK1LcwXsFyBKWBRwNEKDpYVGYPNFkzk4UlDFyNHq5q7aUFVVcyrITObd0F2OPZy6MLlRwH33O+F4YzmqZRJPfHCgTnn/B1jzN8FvgVsgd/OOf/2tT2ZiIhcyZPa55wzeVfPzC5IG8zT8qmTTRhOVTIGYyxN6LHOM5/XJFdxazXn+GxDDAHjPN5ZkknkHuYr+PLdI9p2S5szRR7y1VVdc3zWgYFkCuZlxybA42ZorVkVQxDe9uBq6APUNQSGGfjSD720V7OK2/MDmtTzqFkTcayqOQdFQUHkURO4kxPzoiZbR9wt3xsztN6sSjv5hiKfdJWl7NvATwFfAR4D/8gY87M551//xHXvAe8BvPPOO1d4VBEReSHGUPhh2TaESAgJYw0W6NMwy3TeYcnknGi7gHHQdh2FLdjGYaPYWd/QtBvOti0H9Rz3hZbttuOj44dUMQ+53nqBrwowlhwCpMS8mtFkWNme7SbTx6Gs6v6H8NFm2Ox16xCqGuZu2KWdDFSVYzY7wPgZ2+OGb354ysEcZj/wJrFP4EvuOIg50icgtnTdMPMvnKEqHG07JLWdGf4QsXb6e56v8oR/BfjjnPO9nHMP/Cbwlz55Uc75/Zzzuznnd+/evXuFtxMRkRfxZCNYxuC8oyo9BuhjwqSEc5am7Xi8bmj7QNztZN5sW45PG1LKWOvwxpKdxRlLWRW8tVrx5q0VBZmHDRSuYDWbYbPjtOkJEbwrmJUlh/Ml1vmhR3YYDrU4a2FVwqaFP/0Yjh9AsJA9OA+kyMenp/zpgw/5o49P6SKUqwXOFIRsmZWWjOM799Z8/PCE++sOgyUbT8rwaDs0S0nZEHOm6RIppZf8v8Znu0qO+VvAXzTGzBmWsn8C+OBankpERK6NtYa+S2DAGkPICeccKQNu6A7WhMC2zdSFI+fM8aan6TqqyhKjoYuJwpc4E7l7kMA42pQ4mNcMzS431PMFd+ZLmhSY0fMg9hT0GLskdT2Ptz3tGjaboUyr8MO/jmEJe7OGO3HIOwN0BRQmsg49fR6akYRNQ7/IpBR4cNJyVjbcms9w5RKbDeseZvREC94MTVUKA2Cwdmj7WZbTnjVfJcf8e8aY3wC+wfA7/RfA+9f1YCIicp0yKe1qd/OwW9s7S9v39DFyuukxxtL10IVAs23Yti3btqUsPNlU5ByZlZ5NLFjMFhw5S5c6js/W3D04ILqCTdOw7Vu+fe8RKcDBAj569ICmz9z/eMgtrw4AA/c+Hs5rXhzAmxVst0NN9Kocfu64gWI2h75nNk/ce9BwkiKH3RmL2Zyz9YbF8oAv3L5F0xlWM09OmYQhhYyvPWF3/GXOGWfthTPmlNKnWpe+zCXvK+3Kzjn/IvCL1/QsIiJyzfblQQZn9zuTuxDJORETeGMoCkvbJs6ajr6HqpoREhw3/z97b7Ij6ZWm6T1n/Cczc/fw4JRZVSpUL7SWUBtttNFWS12AtNFOe92GVgIaArTSri9AtyCgAGmlbgnqVpUqM8lk0Ecz+4czfVoci2CQzIHZZDbpkecBAh5u7kG3MALx2je974yyhpvOcEweWWcSipIS4jokaYbOobVFp8TdfObheebNffXIfs4wIhxPsG6QElwNcA4gqSZM9a4Kcmfhowk++/gKikXZGSeRREIS/O1newajMMazLAvD4Pmbmx3WO2JKzGtgHDrmJTD0hnXdLvnTBa1U/fit16eUwhoKWtdb6Lef956fTJxbiEWj0Wh8wLw1FzFGv7vfNUbjSiEVGDvDFmGwhnmLhHUhFUMWjTWGwzCQU+DLU8IhKF1wZeOL45lp8wzeUHLi4bQAhYLB9BZvE6WA1zUiUhfY7UAFeFrg8QylwG6CrgPJsN9B3xuu+gFlDFICxRmGaNlMweaM62rL+jAOfLLvMdYSUsEpw5IKelnQztFnIStND8QkeCuI6O+0sVP6WpTh7cfyk7a8mzA3Go3GB8z71pzv3+8ao1G6zp8RBQpCEGJRgGENASWZooTjklhj4nbf8RQy1jgO/UDvNKcQuT8tPK+FGMG5ujzWewgFVFHcnevP7CYIl1MoY+D0XCvmkuCjWxgcIJk5JWQLYDR77TncjszLwuO6MmjNYTcwWo/vBkJMXE8GUQqXMlkpXvWGzjuMAmsMWgtKFF333RZ14buVsf49Le//UDRhbjQajQ+Y9605397vllIQpRApxJjJJRFTQEsCVQ1GBmd5c5yZnGc/DIxDoijHwSY20XTas24LaVs5xgKxelvPMxz2hkAmzfDFr4Vg6klU2apYX3fQKxiuavt6MjB4RSgKqzXeWGIJpJIRm+mUsLnCrR4YxpGbccD7HiQhaLwzFNGMVz0GzTh0dZ4sgvcWozVK/e7WtKa2s9//2u9qef+HpAlzo9FofMC8b82pLnPWmGruMEpTpLAlhdOe/c6htOb+HEhhuZwZQecse9fxcF6w1pNLRouwoShS6J3lWBKa6gK2rBkyLBv85hEGC+sAcYbdVTUQeYrwSQ9Xt3vun47cP9Xn6PeFLx6fsU7TIXgFcylsWWO1oWTht08zO7+C0lzvPBrQBryxKK1Yt4SxBqcgJMGohLnYdH7bbMRazRoKUN5VyqXwk25uN2FuNBqND5hvWFCKIEVwViHCZbaqcAaUVQwo9G5Ea8WX9xtaAucQGK0mZMXN2HN3OtEZ4WleSHHjfl4x1jAV4XnLlAzrCo934H2thp8T7AJ0vrbTH09gC/RjPd/65OaGZ/PAwwz3EW5sQjnLVyFw/8WZQz+TUoau43aacMZglMH5unSWlcGiOG+RXAolC523XE8dSkGWWhnnXLDWfOP10VrT+zprflspe/+Ct7IbjUaj8fPnfQvKdPk85csZEYq+82wx85wiKRd619XqUmu0KJYYCFsihYUjmVfWkXO9JX7aImYDoyFHSEtNj/J9XepyPajnars5+poklQv88pdw9wCH8Mz1fkdJlxCLG7g/BngKxATeQJQNYwxdTJzjxsBAXjYOUoXVaY1SwmkuqJLpnQEUd6fIJweN9w5jNLnI7xQ9rb+7FPZT8vN5Jo1Go9H4s/Nu5vzuoxBjonMGlRPLuvLl8wmkYExPpzRPISM5cCqR186QEbZwJkR43VliqKfR1wPYoW5h7wYICR6P8LjB3RM8PFSx7j1stRPNODluDxNJQaTuoRVbrUIT9b9BKex9h7GWnAq5FJQUBj+glCEW4f75RNhWznPmvEWM1vROM4f0s8hY/lNoFXOj0Wj8BfF25qwUl6pXSAWc0Whbq8rBeZTvGGPmt6cnupK52u2Y8kDnenLaENGsOXM6Kz41iSRCLJFbXfjyBMnUjXDnYcjwJlYrzp2qhiJSwHVgjOM5rPQ93IyQlyrMYQVroWhQzhAFeuuRklBa4buO3ms0QgmBL+4X9p3HdJpcCr993vjsqiOVai5SiuB+xsEV79OEudFoNP6C+HrmDIqCMxprhBATOSdKFqwDJQrdOczJgtMsKSNkdAqkLGhlMGS+uD+x33mufMdzrkKs/YYrYKdaMRepYpOplbXNMIxwPWqSFJblRJIq5HdHGDqYF3AGdmOdU4cSYY1YIzwfV56PoKWwxsDVNDJ1hmI03lomr1nWyN3zM6+v94SUGLzDGPNOpIXaPfi5RT5CE+ZGo9H4i+Pd2ZQIUDivkfOWUGIYR8vzcWEJhSVGQowg0A89Kmue8pnH0zPaDnS2tqxPc2DbAldDR0rC/ARZQ1yq09dDqXPTPdCZmsPsOwDD7W7gy8dAPsPzuVbMdLVaVhnyBl8+ZXZdZtw5dLGovue277G2Y4mZ9Hjk09dXZGXxGrQ2KJMJUbPvO8zFM7uUQhGFUryz6Uy5bqj/nMS5CXOj0Wj8BSJSwyuWEDmHjFIaYw3np8yWNYPVLGVjmwNbKigy3vfcPzxy2haGTnhIG/NymQ0DxTie5xNrgdOxzos7VzeyZ2qFOj+DUjDO8JVEnucHYoHlqS6GjVfQdzBMdbvba/AWDp3meY6MPnGjJnrf4U3H1GnWuNBbyzSNnLfIsgU0mdu9xzuHsxoRIYSM8/adCNePtYL+OeUzN2FuNBqNv0DeWnWmIigUzjmWLeCs4aBgzoV97rCT4uF8JoqwLmdO28qSYBot10NPSA8sJ8E4ePN4AuoZVIz15ywBTkAPOKAbq/A+n2HN9feqg6SgnyDPNVWqnOGjj+F6HOnHDlfAlcwaNoq2hJTpXaFoz9ANPIVM32V2fYekDLbnZnToS3WsVE3I8t+qjN9Wzn+MnDMhZDI1Dcs5jVL6z9ISb8LcaDQaf4EIoLTGak02QkqJLJr9OBByQs4batezPSWuxyvGbuC4nnjqV56OZ5IqHLoO6wzHLTFu4A6QE2gH/YGaVBVgAl5fKuFpgr2FY4brXRXnzkH2YARMB36A3MF+GHFdx4hhKZFcElkKRhWUsWQRcoocRsvYG5QupJwZB01nLOPY1/Kc2sY2fO2C9u51uGyo/yFyzpyWjDFgjCGlxPmc2A8Ga+2P3hJvwtxoNBofOL9z4al+AWsUuWhSKVgtRMksS2LaD4R14fPHOzKW27KRS0SA1/uRJSTCFnheE72tYpzOMBfYTvXz0YG7rkYj2talLtuBEiiuCjAbZAVa4LTC+gD7j2rYxaOf+UwJstvTO8cpCSlltpKxIZAlUorFO49CobTi1eQYul09t0oZ7+w7N6/OXzKoLy5oIoIIf7SNHcLXogyglMaaTEylzsJ/5JZ4E+ZGo9H4gPk69vGbC09GX5bAtMYYcDlTrOb5nLFO0Cnwm4cz5yQYnXnz9Mw5ZqzKgGLfD3w1PyMFxq5uW8tYzUREV1ex8wr5BA+XUAs51Jb2cQET4JSBEdQGG7DN9ba5U+D2NeziuC0cw4I1lqurA5/uJpYUOaczYxbU7oASyzBVx7L7JXOrMmNvibmQc0YrhbtkLFdvbHlXKRvzx1vQma9FGW1xHJEAACAASURBVGq3wVpLzvndY9+3Jf59aMLcaDQaHxjvV8glF5RWKFX9pN5WdyJgjUKKIishKWH0ll/eTqSU+Ne/vifGlV8crnnYAudl4zA6Hp8fyMpw6IVTgb2CTcHgDGvJDBrWUl2+4jPcSa3Sc4A5Qp9h7GsrG2AEnkNdCus7GPfwya0GA8bCvh95PJ5QSuGVoXMjncvsECiZXTfR+Y4kitHVtvKSAl3WdNbinPnWBrbCmD/NW8tQ29nvKmYgpYTVf1pL/PvShLnRaDQ+IN6vkAFiLkhWOCM16vGyCFVKAVFoo/HK45wlZSglMaM59D1KOY5LYCqQtwhYxm7Hde/R1jLGjXOIvJ72DMPAcZt5Pp4YpxrrePgU+hXun2q61DhU607fw00NpKKjpk7d7Gvy1DiANoqUCvezcBgcf/vxp2ijMUqhJBIFvDYYa/G9x3iLU4qYC0Pn2bZALEL/XjX8fdrNv+/G2XvDaclAvtxCF1KG4WLj+X1b4t+XJsyNRqPxAfF22xq4CHT9JBdBqAtKIkKKGWU0YQssKZGyQqmMU4rnORDSRooZZ2D0njQkwrbyyVUPCu7nlZQCW4GPOs3D6YHP30S+egJfoOxgPNSTp7jC3VpnzV2BstZZdK9r0tQvPoPBOdYtkiOct8zQd1z1QhZhy4nrbkK0wlmPV8LVNKKVoLXBa4PS9e+7bQFnBasURRT6vWWvP9Ru/n0tf3uZLe+GOmvOOWOVYphM3cr+E1ri35cmzI1Go/EBIVRhybmgFBijSbmKslJ1IapIXZRKKfH5ccMIeO8oCR5ighQxyrCmxHldOQw7glk5oTjHRBKDxZKyZj0X/uHpibzAtK8nTr/+DRyf4ZWu98wRGFyNgXw4wu0t7HswBTaBvYbHY2TyoHpHTJE5BD6+2aHRxCwsW2TqDFkiO99hrOJ68DythRAiaxR6qylYDn1H5y21Qv66kv1D7ea3b2h+X4VtjGEYzO/50z8uTZgbjUbjA+JtOMVbgQYwWpBSv16KYK0iJeGr4wypINYSU0YE4hZACbv9DoVwp4U1zIhO3Pbw26cj5Bob+U9fJuYznBbwCcZX1e1rsFAUHI+wzDWM4inCMcJBVTev4kH5+r1k0B2cIgwSiQmKCOd5xo8jVnvOYSYWy0H17K8mOu8Iohh04uF85rxkbq4HPrYjSg8oBUJ1N3t7JvWH2s3vv17vXssfcaHrT6EJc6PRaHxAvA2p4CLOIkLOteqTUihSCEmRU2ZeCs5b1igoicwxk0MmpsTYC89rwCD03mETZN1jTGTOgS/uIluCpOvy1mDBfFHDKXY7OM5wf4JnoFC3sUeqSKcN1HWdO68B3pxqRV0SnAt89hG8ng7cr2f+6f7I3sLNbuD1fuK633EKgMk4XXjaIp3f8entAMAs4NaAUjD1DoX6Xu3md2lbf+KN85+DJsyNRqPxAfE2pCKjCKlcKuQ6C10vM1Jnq+OX8ZBTxig4bYmSC+d5xXpNKIp5y4SSMEqjKSwpksrC41Ph6ViTn54fqvi6VF29zg8QM6xHOFMFuaMK397Vqvj5CIfX1RVsC3XOjIG41bOr+yM4fWJJhb3XHHZ7ds6xYlnixqCEbStsRhi049X1hFaaVBQ2RyJCTIWQhKk3aP3Ht7DfvaH5E2+c/xy0POZGo9H4wFBKYa3BW42z9Z/5mArW1C3sLRaWkJisJV02tJ0xnOaZ+3UmxsLd/T3nEEkJjDLs+4nH88zzXDin2r5+eoAFOFCrvIc31UjkfAY9wg311KgDOg3Dvm5lJyDM8PwMMUDvoPPgd3A1wcdXnoetoBN8fHXL3vcU26FyYSsFpT1ZO7a5oJ2tbziK4Kyi855tK7U6vgh0zuWPtqTrGxr1jbxq+yMudP0ptIq50Wg0PgBKKaRUKNSKy1oNSmGtfrcIlkqNYFS6fk/C8KpXPJ43Hp9njsvCZA0lF96czzjt6XytUnMpkAoaMBmet+qB7YBrqgnHfYFXc21rewN2B+pUf5aUmrH80Qi5AAXEVMdM29Wv97o+No17nA/snEekEKUwFI0yni1s6AOoksmukELiORWGaLm52hFjwHlqla/rayDwvSwz36Zu/dQ0YW40Go0XTimFNRS0Bq31u8+dAbSmXE5/BDBak3LBOovEhNIQBZzR3Oz2nC8hFfkSnjwogyAUJRhriZf7448mGJd6e/wV1Q/7FfAv/rZmKRepaVHYKsy+B6egdHDdVWcvXWDLdVvbCExjXRorOWFNoVCw1qGlhkeksGEMxC2ivOVVPxC1R0JgJfH0/IwYw42xl0jLOmsvpS6TSeHS1qflMTcajUbjz0dKX4syvP1Y58taXdy/FIioev6jYVkjS8x4JeiisL6DXJAtUKTgOsO6RpZombzjtJ45byspwyfXIAmMq23rx1jF99UVzEdQI1iBQdXIxrsHiCdQA7w+wO1tnVm/eYYcIUttZXfW8enNnlg0VgnaGj4eeqIYYlyJCq47h7bCYBRd33EwhuCFdU0UVfh0P9J1HQpYQqF3YG2dM+ecSaHgrEJr3fKYG41Go/HnocB3FpzeVs7WKNLl/KjkTL6IUUHRW03IBW01gxKWaJh8hzWJkhxJJ5CFOVRLyl/e3GL9M0/rjPVCJ5eAikdICXQP1lWR3jKUAm6Evx7gfoG+gAQ4bQVv4DDWGXNI8HqCcXTc7ieux7FaXiqH9gWVDcqNUKDrOk7zQhKFwtB3HZPuyUPCWcXVNJJyvQ1Tlzcn786epHp4vx03tzzmRqPRaPxZqMEM5RviXEp5t92rlKZ3sApsIVVbTgFtLFoSVsNxyRQBjUaJout7/na/Y4krSxCu+gMZxU048f99IYSltru3pYpxl2tr2jsooT6uNEy2hlp8PNRFsKdHkCcYb8ANHeOg0ZLoOssnVweETCqF/W7k1dRxDoUi1CpeaZyziDhSFJypy2TWanJRWG3QWmFEEbNwOd1+t2Gt9NeVMu9em5/mVvkP0YS50Wg0XjjWatZQN6q01sQYWUPGWU2ICWs1WhuMKXTOknIhSyYXCCFxXBLLFjCAcZZt2Qhpw6ka72ipYRfruvCb85GUwNlaLZcEKDgVkDP0Ezwd4fEI+z389h5ub8BezETcLxQsUufY88Yc61La0EV2w4gST/QZjzCnwpYyUiBnIVq47TWvdgPrZcscAKlvQpSSdzakzirWLZEEcAZrdJ01l4L+Gdwq/yGaMDcajcYLR2tN7+usOcbIvGU6p3HOsYVICMLUFTSKkiOnZeO4REIRDp3DO8tUHEsSrgaLtXuOJ49WMInni4cn5m3hYV45nmpy1HOsiVHO1BOpcgCV4avP4bzVyEZm2BK8SdWCk1fQO+G0wBIBBeMEkiEE+Mcv7/jrmz23+x0rhZ0opq7jeQkIdaV8i5Hd2LG3mhAF5QWrNNpptiQYHau9aCkopTEaci6XAA8ouaZWwY8fPvFj8YPumJVS10qpf6WU+jdKqX+tlPrPfqwn1mg0Go3vj9Ya7y0axdBZnHMAWGPQqt7zKlV4XDIhCaAxaO6XRCmZ693E7dSBEnpnmIaOkAXJmaUId/NCKsKw10gHr27h+qbeJisLo4OkYNvg5rbGN266trn9UB3C5g3WWGfKGtAO1g2iruI+L7CGgIhimTNFCUPnuRodndMYYygiqFIIsVb987LyOK+kLHS2tqW3kMip0HtD3zmEesetgN5rtFI/+a3yH+KHVsz/A/C/ish/pZTyVMe1RqPRaPxEZHiXGwz1HEiLIZVMTpneKbL1bGnDOYOkRCGB0iiEf747YkQTS+JuPvH4fOZ5Xnl4BPFwPRSsUqQgOFu3qsNW29G9rrfNz3c1vvEwVeGdjzD1sAJWQTdUT20l8DyD1TB9ApNToDzHdWPqDKdzxJqAUobDbqLkQswbD3PiMBis6Vi3iEGBglR0NRmx+nKTbBARnK2z53oe9fP31fr3Fmal1AH4z4H/GkBEAhB+nKfVaDQaje/L+znClEISwdr6z7tSCkXGKlgLTENHLgVJhXNMdM4RAoQY+Pz+xBYCKQvnuHEOmc8fZpYItq9mIKcAx0fh9FQ3nDUwXcGg4Xyqt8r3Upe//u4XEO+hLHDa4MaBtXAzwG9j9cze7+p/VxVwncVZxZYzV8ohFB6ezgxDz+QMohVeW/rRobUCFEPvAVhDYew1KRaQQiqCiMJo2PUOY9zPbsnr9/FD3jr8HfAG+J+VUv+7Uup/UkpNP9LzajQajcb3QN4zD1FK4Zxhi0JKiVIKy7JxWiM5ZyQn1m1DAV3vQBQ5BfpOsYSIVopDN7JK4XmJOBTbBg/31cf6+Sv4zT/C3Zdwv9YzrVzq18rlltk62FOr49/+MyDQ9bCf4GoHzsFTrtvU4urmtpS6RJZyonOGm97S9z1XY4f3lhgTx7DhlGCdxjtPTMIlq4N6GAVKGbIUHs6BGAvOWkDxtGRijD+7Ja/fxw8RZgv8p8D/KCL/CdWv/L//9jcppf5bpdQ/KKX+4c2bNz/gxzUajUbj23w7R9hay34wSMmcl4iogjcG0QZtDY/nyMNpRSGoEjhtkbwFSsmMvWcTYW89fWd4mE+sl1vlea52mTlBENgZ+OQ1DD1sc30urq9VdOeraD+HasPZTfDqUGMes4CWutUdt9rSNgJXI/zdx6+4GibGfqTvLM4ahs6yHzv2XYfSNRXrOC9ABskoCmuIKKlb6SFGOqMZ+g6tFc45jBKWLV2q7J8/P2TG/CvgVyLyv10+/1f8DmEWkX8J/EuAv//7v38ZfYRGo9F4IXw7R7hGF2pAM/W6trgvy04xCaNXpJy4e4oMg+MXg2eJgk+F47xwmhfeLCfCVnhYArcjyOUESkpNkEoz9Lsqsnh48whfrfBqgvNaZ5q3vm5vOwsm1T+jD7A+1qr5/giHHXx2C0PvcdYx9Q5vLfupwzvLVmDyHUopcskIhs5rQlY4A2sUhExnHYPXbCGzRbjeW6ypmdF1xmwpJf/slrx+H//ewiwiXyil/lkp9R+LyP8F/BfA//njPbVGo9Fo/DHezxF+29YGAaVQWhNSNRCZt4ygsK5DkYg24oxlDQlKwWlIIZMACQmFwgooZ7AoDleJEOE811vlfqwRjutjbZdm4CrXGfKS6vnT7TUMQ62IgwCX9veXX9Qkqd0erPd4N9DZgtGWT28m1pB4Pp+IER6sRhvonKUznrG37IbuslkdUaIYBwNohk5jjZBiJlv3buM6pYR7IdUy/PCt7P8O+F8uG9n/DvhvfvhTajQajcb3RWtFTAWRQi6CiKC1xuoq1AZYt4gIhFzzmM9bRithi3Uu67xmCwVlMgdvWYeRGCJ/++oVd6dHHs6JrsCXD9UbuwgEXefLc/g63nFeL2dQ1GjHmEE9gdha2ZsOkoDegdc1i/l4DvS9ZepGjHIMXcdpDTzMgVIUJioU9U576g3WWbSxdM4gSjM4Q+dt3SC7cFwTOSe0tkjOpAy76eXYdvygZyoi/wfw9z/Sc2k0Go3GD+D9tra1mi1WD+iwCjEnYq7fJEWqw9elmjbG4m2mMx3uakJrOIWCLkJyFuQNK5YhBqyDhzuYH2HaVQE+dHD9Cv7x85rPfEVNoNIKoq0b1+MAGDATXO9rnvNygrGHyTiWLPxVb5hjYgvC3g+kLGQlaNGUEgjZoFVPKYUQhZQTURWMVhhr0ErReYsz9c1KjIneanaTfbel/hJ4Oc+00Wg0Gt+hFLlEF2pULry/yNN7RYxCZ4ScC4NzpAhTb3k+R0Rldr2jFGFdCxghbhugcapwyoFyPiFGYdeAL9VMpN9BOFUPbEu9VT6f6+8z8Ah0wOM9TENdGuvj5X55g+MJluVSQQdYQuTGedYsrPdHvHMY7SlSb6atNZyWhFUGrWG+LHJNfd26LoAqgrH1hMp7h/e1zW/Mz/9u+ds0YW40Go0XzPtVstbq4hVdH9dK4ZzlygzoxQHCrCCshaGzWGXJRYhlI5REZw3rlgipYK2HEMmuY7KG3AuzOlJmUAH2Y10IsxqOBU7PdX68XX79R8BWYDvX5/L4DDcrKFM3vMsGnUAYQbRwPY2orDjlwFaEyYFWhkKdE/fe0HnFFjPeaHZDj9XVZtNqRSoFk8H7Kms/R6vN70sT5kaj0XjBSCmEVBCl0FQxeuejIVxudxWdqfnERkHvLFkXrDPVWztorscRYw2pKEIILDGwHz3eKL48nXl6eOR4hH/7T+B0jXSMVEev2wz/LsJrYAYmwBtYcm11vxphneGL53rfPAMHqlCnCO6ydZ2949buyArmlNg5ixFY4sZh6PDO4Y1mGDqcMYgovFUYrbGWd3fK6vI6vJQt7G/ThLnRaDReKKUUQhKKgNGKIkIMhc5ptBLOSySJoEQQ6vd5a+icYtkCS1iZl8gcMskm0IptTVjfUbYFI4r7eeGrx0feHGtghTEwZ/iSWhWnDBLBUwXxADjg17lWyjsgxDp7vqO2uq+py2KxVP/szx9njHF8IsLu6sBu6JjiSkHVdnYRbqYattE7g6HOr53TX+dOK4U1+kW2rr9NE+ZGo9F4oaRUMEZhVb1XRimMFnJKnKJQEKwxhJRJSXBakCIoa+id4bw5uk4TCZyWiBRFLolli8RScBk654i5im3WcLODr55qVaxtFeuni+vXW4duzWX2fPk1XIRbA89ADxx09c0+b5ft7GXFe8enRnM9dhQ6nAalDb01TGNPyomca8iGNgalFKWU+ncy+sUYiPwxmjA3Go3GC6XwdSjDu3mq0ZyXFRQ4Yykil4QphZIaf1iKcF4jRheWmNm2WOfTKbKGjS1mNELWmg5N31uEhHKGXmfOCzwFmBPsS62MO+psea9hLjBcPu+p1bIGjtTWdgCmfZ0Djw6eT/DRa7gdRpIIc8w4LZyWyGEa6Lvq4qWLJkki5oSjvjEBRecMH4gmAz8w9rHRaDQaPx2a2s5+n1pBgtG1fhWpy2Faa0Iq5IvB9JIKSlmMNihtkCQ8bYHHeas5yX2PlMxWMnpLzEdYz5nTBjF8Pc/dSq1+n4AH6n1zoqZMJer3JWrre+WyrAasT5cqvMDk4G+ubpj6npyF43klFMXgPF4ZnpfA8XjmvAZSzsRUKNQ2ujUa5+odc8ryYoIq/hBNmBuNRuOFYq2mlK/FuZRCKdA5DZTa3kYopbBukSIF7wyFwrotPBzP3B+PPJ9OzDGQ8saur/nFa4ocxh2v9zuuXu3Rvm5Yn4916at6bVXXr/+7VCH2QEq1UjbUatldPl5dHnt9+b0o+O0zxLW6hYWcaqtaEt4qVClEYAmBdUskwDlLzLBlQARtFFsshJCA6jFS/84vm9bKbjQajReK1tURK6VCKQUNeK8RccQ5IZIRgeO8EXJm6hxbDHz1vLElOM2JeVmZUyaXmedlvVStEUEzGEsqhetu4Bc3G//vGhgKXHU1g7lQN6wDtRJ+O1fuqFWxu3xtoIrzjtrWvlagHNxIvXO+2sH9vNH5mRu15y4FDjvNzeh4Whe0cjhrMLqgrcFQeJoDu6FDaUhF0FmqP/ZP8P/hx6YJc6PRaLxgtNZ4/93m524QzkshlIzWiqvOo7XlvC6sKaLROFNAQUgr57BgrKWzjoAwr4HfHO8pSRh7x0f7A8os3D+dOWwQfwU51uzfhVotG6qovBrhyxkGBb2uFW6memdPE8xnOOxh14O38IuPPsEbA5J4Wk8orbne92Q0UjTKZLaw0XcGqwxKWSiJIgKl3jErBTkXbNvKbjQajcbPEaU009hhtxr0IFqjRNiiQNFsueB8x5UyzDGTs+JqmtBKUwS0zuhSyBL48nEhaUdMC/NazUJOsZ4sDQJ/Q62eE7W9fT/Xj07VTe6dB+/AddB1IBn2AwyDoXeeq3Fk9APLdkSUwloHRYEImYISQ+9r8lTMQkoZpxWlgNbybt5dn3f1CC9F3s2zqzPay9kOa8LcaDQaHyBFqg3n85Iwps5eSynMIbCFhBJN7zUKg9ea5AAysSRCCvROk3Pi7unIHGDnCjEXsoGHx7ro5aWeTZ2oc+OvqJWxBz4Zaj6zxPpY72u7e+hh34HyhlfTjs57rIJcAlNv8dqBAm0VBeHVrmfeIqUIztTnFEp1LnNWARqlq4i7y2b6W/ez9xO3rOHFiHMT5kaj0fjAEBFyFkLMWAsxAaoajAzOcl4TzoLSGpGINVCCsMbI5DzYjnMILFvE6x7lIqcciRvkpbasd8DBgBYYLstfn1HF1zsYrmsbO8R6r+y72r4+DCNaJ4oYhIwznpATh27g46uOLSaWmLkePbtxJKWERrMbDKUURmc4DI6CRqtaDSNSs5eBGDPq4h0Ob8W4VtAvxaKzCXOj0Wh8YLwVoRIVRmmiFkrKKKO5mkbq4nLi6bSwxY3OwL7rQCvmEJjDxrxsZDKdtTwsKzHB2BtSygw9jFIr4RDqglehpkw9bdV0pARQQ13uChlCqo87Vdjvbvlk13F3fOS0PBCz5vXOopVj6AxjrzFKMa8rTsHrQ8d+7C8GIupdwmPONepSAdbWk7BYMhRQSt5VyG8r55dCE+ZGo9H4wBAuS2FGsQr0VrNxcchSwr63HDe42llycZyXSHdpcS9xI8WAKMUSM6okcoCwwqFXkGq6VNfXaninYHiC/+cMX27VMEQynI51c9t72B/qvPl5hqfzyl+rJzq9Az/wy+ma3djhrOW41ZjGfe/pO1tvqhQ4o0kpg1JYrerMWOtqwamr49m7IA+lLm38KswCIIJ5QQ4kL399rdFoNBrfQFHb2c4ZtNIYreitpXZ9FSEJUgqpQEgJ0ZCl4I3jo+maoe8pZSOGzP0pcrXzXB3g7pjYArhSE6JyqJnKT+fa3p6AX/4S3A5OAR5PwFZb6QUwDv7qtmdwjvv5xKDgMPVMw8gwjjhtEK0w1lbrzc7SO805ZLKAtQZRipjr4pkx+huiDG+Xv6jBHpfHitRfL6VqbhVzo9FovHC+vYVcjTbq1zqrmNdEyNWHSyRzXCNrDBzPGSUruWge55ljWFBS+PJp5s1DZOirqchv10Bv66x4vIb7R9ieoJtg9HA0cJXBeDifICz1bnkFkqszZ3NRmy1lugH2esBYy3FZ0EqzhYR1Glc0xlqcNXXZqyhMyVijUe9EuJBSwXuNAnLO5CzVohQQKZi3bWzA2VqDvpQ5cxPmRqPReMG83Tr+xhZyKpSc2bKggbG32KhIIry5P/N02sglIUXxm+NCSEJanvj1cUGpWuE+fg7/uILpYTQwTjAeoLdwOMDzEWKEKHDOVUyUhvmpVsbdAGUBHUHr+ss7Q4yJdUuoTnG+e6LvPEoc1jtcKKjJIwWEr+Mre+/gG1Wxfs+KVFi2gjFgjCHnzBaF/WC+kzTVKuZGo9Fo/Oh8uzoWkfcqyfr5FgsgOGvIpbBGQSGULJxTAOAcCikXckyczjP3xwXj4O6uCu6v13r2NAyAhmOG/AWc99XbevCg/cXrmrqVfXf5Mx+P8PgEgwPbQ9mqyYi3mWI0nXPkOfAUF9AjS5nwa2Zzhi7Wat5ZxXGJaGXorcYaBeZt5VvezWFzFryrS2EigtGazsolect843X7+dfKlSbMjUaj8UL4XdVxzHK55628jYJMWZFLNRoxRti2zJJhWzIJV81GQmKNiZghZ3DDyLrNPD7BqGu1LAn0APEJ+BgOEywzxAzpAeZYrTf95eePCpalWnV+dgPDHsgwTHXOu3Mdh27iqWheeYfpHWFdGQ4Te20o2pBi4qQNo1GMoyHkQpw3hq4Kstaasa/yVeAbAgx1zhxifvemRS7nVC+hjQ1NmBuNRuPFUMrXogyX1Ki3VpS2ilO5PF5jpQSl9GU7WWMlE4nENZMum8paC1oLIYKPG3YANde5sGgY92AUzB7SCTYN21Zn2KLB7yBvcOurmcj0qm5j3wAff6KZt8IGTAZAYa0hloRRGe8dN/3AYRgx2hJywK4BdpbBKLrOkYoguYCGNSQ6p1HyXlubSwWtv25biwjeqK87ClRRfikGI20ru9FoNF4Iwnfdq4zR39g4VhfHrzpffWtPWUAKojU7P6CdoVOAJJ7XM0EJV5d85MGCV/U8CqmLXPMGMgO+GoXkANjq7DUY6Ds4L+AH2HXgNLgJHh4LvsDkQRsD2jD0HUoZDv2IVoataOaYQGtyEtzgyVFxikLMNZwjo3Cuw1mDNZYkwrpGROT3Jmw5V2fM1mjMZXHspdAq5kaj0XghvD9Tfh/3XnXorEZSjXs0+q0JBzV5KcOrq4mYz5yVUNaNV31HVIq7TZMlczNCPIDqq8d12uBXX9VEqb+6BesN5+tMt9VTKTMAK9zcgC7wFGGy1RdbMkQP/+Kja7YU0SJI2dAIzvZ4bRmcxigIcWEcHU4bnDcMzpCKcNwik3fEVIVY6yqyoRTcJVGq9/o7CVvvV9AvjSbMjUaj8ULQWpFyFd33Z6f2/YrQaIwpxJgJWbBaMXSGZZMqjgBG4TV8vJsIEshb4ZMbz93TEdVp/rpPfLYlQmfJTwkjMBxAGfDGoNfMlw9w/Qo+ewVfPcF6ri1Ym8FMYC6JFirDv/3VIx/ddnw0TuA6bvoebSyjA92N6Fww3jA5hWiLt7YanIREjJkNIYuns/XvWTsAUK02a9fgdyVsvVSaMDcajcYLQSlVfa2L/MHZqdaartP4ywZ3ESHlxBIiWhsmZ7lbI4/rmd5Ybq4GUlFYbTitM64zvPrkU3a+41fTPZ99FHkIERUTOWuMQFqrm5cYDarU2+lc29nOQbGgBKbBcfdcQyiigj0CCnadpSiYjBB0waEQ5bgePChYY6TkQCqFLx8y+12k202knEEUvdPVH/vldKi/N02YG41G4wWhlPqj28XfPqmKIfB4Xnk6J5w3OGfpvUOj6OyA854ehVY7rFVsYcOJZisRbzRJLH0uaG+Y3MD9aeX1NQwdfPF54c1XcLUD5aojV4kQC1ztFSFG9gM44xmM46Pb15RUMNYyWEVWit45zeBVIQAAHFlJREFUBmdQCGiFoc6QA5qdtQxXmhgSX542PlOwmwacMxQRzIs5gvr+NGFuNBqNF0wp1QXrreuV1pAyNTpRKXJOfP68IUVzvR85zhunUtAaOm9JubCuGzFncs6Yoph8RzaQ1oLShhQDzlmsEtZto9dgP4Kxr/7Xr2/rNnjZ4DiDKvD6U/h4f+CLZeaVs6Ahpcyur2ba65bwQ8fYO/Z9h9aGUiJbKCQlDL2iywbjPFYJu8GzbLFahzpTl90u+csfGh9OU77RaDT+wiilsIaLKGtNFuF5ThSp50MCnLeEEcE5CyiudiNXvceogkjNX15KwFpBVKFouBoHSkokiTX8wWUm5xi6CaFwcz2xGxQPS71hNl0V434Hr/ZVoE8PcJLILzrP6+tb9q4jSSHUDEpuryeuxp790NN3vgr0NHGz79n1HqMc49Cz6y1D7wHFbuxQ+mtR9u5lbVt/X1rF3Gg0Gi+UlMrF7lK/y2AuUogJjKkLYrlA5x0hFQqC5IxSisfnjbEfcCkj88zjshHCirWOkBXGOHauYwuZrixEAipmrLF4ATtcMa+P9FdwXKsN534Ph/3Aui14D12BftqhRHBdx8FqSk4MU49XoIyqG+UibDGhpG5ZH8aOIoUtZgR9uVMGQ8FbjTO6Jkx9gKIMTZgbjUbjxfK2UhYRYirEXFBKs8WMMQZnNVbDOURyVpSSWKKwLDNFw2Hs+fz+mbUIOSVEZxDDmoUUV5IYctoIJnF62vDDwKvesibhfH5CqGYicYF5BXHw8LxwmODTK0dvXTUiUZGrfuTTVzsANBrRGi2F45KYenDWgdTTLhBG7ziHgMoZaw05ZcRYDpP/jgf2h0YT5kaj0XihvHW9KkXI5XLfLAWlFCkXSkmsIfDVMTB4UKIIW+S0RkYHpy2zrhunZeW8rvz64cyrneJqiyznE6ZziO0hQxAwYeVOFKYIxyBsKzw/wd1TXTI7nqHzNcAihkiwkXGYuN31vD4cUFpYUuGVMxx2A9saLrNtxeAd1lhACLHgvePTK815DYRUGJxmN1iccz/xq/7n5wcLs1LKAP8A/FpE/ssf/pQajUaj8X2wVrOGQkwZbczlNKoabuRcuDttOK356OB5PG88niPXO8vH3Y7zEjmdF35zPLOFhBiH0XA/y//f3r3GSJpeBx3/n+fyXqqqu+e26zi2IzvCykURvrAKDkZWcIA4xnIkBJIjQPkQ4S9B2CgoioVAykckFMIHhLSyAxJEBpEYiKwowTK2BHxwWDs2rLMxcbCV2F57Zj0zPd11eS/Pc/jwvtXTMzv2bk/3zlR1n5/U6q6a6u7ndNU7p57beWi7O8zncCl01OJZrBoOFolbDbgw1MvuejhoYdUMJTvvKLgEl8b55j++Ca9KC67NZqgGVl3Cucw0FoQYiSGQCqj6hJLHYfehTOhYLYWcoSoKZpUQoz+3Q9f3O4se8weA54DdM/hZxhhjXibnHFUxHECR83AG8awaSnE2TU8RhBgL+j6zOwl43yBOCAh3lolV3xAlMc+JPvdcnpXcOmg4XAxVv/IqcycqQRyhynRpWHS1P4flCgoPuQSpQe8M26UysOpht4TduuJO27GjiS430CZ2JzUpKV2X0JToUiZlPTrWsekSaKJRIQR3dMTjsknUhTs6Yeo8O1WEIvJa4K8BHz6b5hhjjDkJ5xx1GSmCH+tDe5wTsgx7ig8OFlzfP+AbN26zP19y/eacVd9SB+Fw0RHijEkRQTxNEnYmFV0HPXDrFvSHS9QFcqus5tDmYZ/ybAr1BChBW6imsFsPxzxKhjCFWASCEy7PanaqCR3C4XJF0kTb97Qp0/c9MchRJTNkLC+K3nNYh8hQWOUiOO1bj18FfpHhTZIxxpjHwHs3DAHrUBFMc0ZzYv+g5bDPLFeJW8uG6zcP6PueZZNxwVGVUPuOoojU2gMeSYlpDU/OJoQp+EJouobFEppuOId5MoEQhjlllyDH4WSpDPjx1ClpoSgCl3Z3SL3QdIm9ukJ9xKnQZBAyMTimRTyqc10XHvGBGPw9p0MV0aMXZCj7oROziLwHuK6qn32Jx71fRJ4RkWdu3LjxsL/OGGPMdyAiwwrsMUE7EaIIvQenivMylNEEXFbK6Cm853t2ZlT1BJc61Edq6YmTCa/Zq5Dg2atgUpVUUahLCDXcvDnUxe4WMD8cTpUK86F3joIv4HIFYea4Mpny2iuXwfeklLiyO+PatGAyKQgozsOsikzqkqoIFEUYjrJEQfWe06FU9cIU3jjNHPPbgfeKyLuBCtgVkX+nqn/7+INU9WngaYCnnnrqYoxDGGPMI3a8VGcPEAJ7ZcHNvmG5bKnraqgv7QTNSnZwaXdGXWc0Ldl//tt0kijbTFkX7K9W7M5K+uzxKdHsBl4/67j+7cyyBQT+zPdBUji8PbThe5+ErgFfF1yOgZw7+pyoipLSO7z3TCtPcIHglLbNRDecDBUC4wEVSgyelO+es7w+yvE8HVTx3Tx0YlbVDwEfAhCRHwf+4f1J2RhjzKMngGQdVjs7R1UXoJ5OQFPGM2yxarrEqm1JvefK1VfhFVQctw5v0zYdk6KmKD3788zlEPBxQpAVnSZSq8wqoSx3uDpbgQpXd3bx0VG5kqqINKmjjoIKqPZ0KaHZI0Ho2x7vPWUZcTIUSwleiGMCV9VzdZTjSdg+ZmOM2RL3H07xnapfOScU0bO6k0hdR9d33D6Y4wX26sDz+yuKsqT2nvlyxQvzQ2ZFjYsl2nVEX1BOKlIRKDVQlFMq59FQQBZys8LVESfC3mzK4aEyXzWknLla71GEEtFERrm9aJgVJZNZQeUhq9K0LahwaVYSxrnkGGU8LWtIviJyYXrI9zuTxKyqnwY+fRY/yxhjzIupKn1SRDhawdwnJXhelJxFhLqKlB5udhkvjr2qQCWxv2romhV1LEnO0/aOqqjJzjMtAgd9RxHgZueYrFpWXjg8vMMyw+5swsGi5fZhT+U7Jtd2mDctCUfbt8ybhpyh6xtWfU8dIpWLXN6bUnoPMvSAy8IzLQtCCEexHK3KNtZjNsaYbZDz3aQM689DD/pBx0A65/ABJoWnKKdjRTD4ytdv4GNBLCqyZhBH8MPcbgAWbcu8XZJXLbo7Q7OQgRv70MmCKkaqEpYttE1LJLDoWup6SoyBVdsSo6eQwO5sSlVFgveE6NAslNFTFRFxQp8U7xS3Ts68+LSs9V7mi8QSszHGbAHlwT3j79TLzDnT9Z6yDgwnHXvmy3ZYvZ2HOtqrNrNblsybOdeXB4SgNPM7fPOgZ2fimCRlfzXnGy9AkeDmAUyLjss7FZPYMY2RnDtmMbA3q6liiRNHHUqyZDIZf7QfeajoJSLDCm4E1UxKgo/CsIVZWbV6dDDH+vSsquBCJWdLzMYYswWO9vQeS87rXuaD9H1mUntCp6g4UoZJ5bjjMgdJWSxWwwlOfQfiuRw98+WCeddTekhN5pvtHW4fAAncFIoAycGl6YQ7bUeryk41YacuqGNFAFQydeFRcQQnTOqIF1AdVmCXwRP8cCSlZjk6N9o5oevunpYF689DD/oizTdbYjbGmC3gxqFfuDsfq8oDh7FhKPYxLQvmXUtQpS4ifbuil8jlqSOTOThY8u3FnJ3ome5eZTdn6mLGncUBX799yGoFqR1KfrKEJ58syC7zwuKAqSvImhDtaPvAXpGJVc2sFJBAGaAqA6V3dKlFW0XKAlWPiCeMK6+PL/han5Z1b9xDz/kiscRsjDFbQEQIfphrvpvQvvOZxKKK4rg6iSzajsVyxf5qybWdkqqqma8auk5JKQOJaYws2p4u9SRVpiGw0p7ZlaHEZruCeddzbTKhzT31tKAohjOW1RcoShVBxKEMc9fVWHWk74YkXZcFGeFwlZiWinP+njcW69Oyjifn9Xapi8QSszHGbInjRUReinOC9or3nrpwiLQcrErKKKQ8LK3amVVUpXB7f4FzBVXhuFRP2G8PCbnHF1AA1U7J3DfkPtPnlid2puzNdqi9ICEwCSVN6lgtO3IF13YqQFjiKLueqiqI3tHnTB0i5EzXJaaTcM8bi/VpWXAxC4usWWI2xphzSJyjjMrBfMVBm3GaqYNwa5EIPuOBvkscHLYsuiUZIbhIdo7dcsLNKnEtdFBUBAVXRoromVQVr758mVlZ0mSFDGVVkpaZoirYq6phT7ILpJRZpcSuC7RZyZqpCyiLSErpaEj++N7sMgop6YUsLLJmidkYY84hzZmmU9Q5ZlWg6RNd05G6loODni4nMgK5J8aCVd+T8gqPo/BDYn/y0i51XXNj/w5OPE/MCq5dvsS0rHFBqLPDAU3f07aZMioxQsoQRKnKksP5chh612F+PGVFUsLz4L3ZqkKM7sKcvfwglpiNMeYcWu971gyJDAqrpuWb+/uQHVmFnSpSTCcsDw6oq4j4mtKXtP0USY5GoZSK73uypm9asgtcmsyIRWS+WJH6jjbDbFIxnRV0XWZ/nrgyGxZ4tW3LpPJ0/bCHOkZHygkhUNf+xHuzLwpLzMYYcw6pCDEIqw7aVUJQDlY9ZGGn3qXPLb6smEUhTwt8KtjdnZJSpll0hBCJkpnOSlKbCNWMUjI+BLq2Z5V7Kg/TakLwgS5Brx1Kh2Yh5SW3lolLdWRSjtu9gMJ5JvVwbnSf8on2Zl8UlpiNMeYcckCXMnURySrcuHWbZrUii9CkJbtVTdJM5wK1LynqSG4b9psebVuqssLhSEmoygLBUURPGSMUgRiEtlcmdUmTEq4XZhPPTh24s+qZVJFX7dXEGGm7RPDClUlJXRV3e8icbG/2RWGJ2RhjzqEQHKsu471QOOWF/Y4gBdcmJYum57Dp2ZuW6KpjOo3UhedwpcyIpOhh2eElk0VYdCt2JzOCF6rSEcTThUDbrVDJVN4TdgvKIIgos0KZTWuQddlNiA68u3fu+KR7sy8KS8zGGHMOOeeoC0fXZ5ZNz9VLkZxK5q0Qyh5JStssmEwLru1UtH1iPl+SNNC1K4ITnC/wZFa9Iqkn1BPqWNDmjMuZ0gca9dTRUxQB1UTbwXQS8T4QvKOMQ3tyzugDhq1Psjf7orhYa9CNMeacUR2KhPQpk1K+Z342BE+MAec9T+7tQQhE1xNEyCR8CPzg91zh8qwmacAX4znICLf7hBNw3hGLSC8Z+kTKGa8ZVUddl1ybFXinLJqOKHBlGshJ6VN/1JacM+iDC4UMe7MdwTu8v9irsdesx2yMMVvqpY6CXPdICw/LtqcODl8FUvLElNmpKsqq5PbBgpQ76qLmcLVgWk0o2pbD1ZLJZIfXXC0R8ZRFRJSjE6bK4OiSsjOpuOzBiUdESSRSr7SSCE5IWSm8IwTrC74clpiNMWZLPWi7Uc6J1Soj3h0dm7gzKbm9nBOdUE936PuOXgsuVcLhsuGFeUfwQ7KtQstB2yEpE0LJ1d2SsgiknIkhAEosPME5RMA7GY6N1GGPcnCeS1NP32eaLpGBSQwURbhwhUIeliVmY4zZUutB65TyeFpTpu2HYxOLY8cmltGxW3rmXc9qtaIohEtFQREjh4sFhVOarkNdZDapcb5luZwzrQJ1DKx6pfYeBYJC2yuEjHeeqhj2I/d9pgyOovBDTz1AVQ29+uAtIZ+EJWZjjNlWqnRJcW4Ytm77PPRavQeGBWCqiVWTKYsIzjMphyQZg6NpW+arjuAc31rM0bSgrms0ZYIr2JnWdKkjSEAc9F1mZxpRGcp5xsqRx3cHwclRO+42z7Y+PQxLzMYYc06sj01cLwhTICdFUWJw3Jo3qEJRBLpFwyINRUiQwNVpxbcPVzSrBtGOK7uRnSowX7XsTjzeecrCEWNB2zbMm45eleh6qsITQiDr3X3JtvXp4VliNsaYbTVW91pvN/ICitJnIbphzrnPGVRR9UzLQJOUrkus+o7dskBczf6ywYfIE3sRzT1ZJtTRMa0is7oYz092eCd0fccLByvqwlNXFX3fc9gouy4Rvb9bNATb+vSwLDEbY8yWWpe59OMcrpPA4aLDeUXED9uUkOFAZZSyKIjjaU7MFR8DDqEKnpSVLglJE1d3aoIbFnRVRaDpM4ISQmCxbIhhSMqqw32qHas2Uc7iUVvMw7PEbIwxW+r+ylkiQhEdAkfHJk5Kz6IBZJgDTv0wKVwVnqbpiWHoDVflcBRjSjJU6EKpoqeIgRiUrk/knEkoe9MS79yw4EyVGAOp73HWOz4TlpiNMWZLPahyVhk9yL1DyNENhUHwjuCgT8M2J3GCoCCOVdOg6qiiQ7MiQSiCZ12vpIwB54Q6hnE1uOAExAld1x0t/jKnZ4nZGGO22FA5696V0PfXnw7BQ1KcgDqHJ+NcwbRSmi6hbU+vmTIIznlSSqj6o2HplEDcsB2r8MKtRSKGhiJG+j6TMuzNos0nnxFLzMYYc46ICN4N+4ozQ93lGBwxQN9n2pzxIoTocM4RQsA7TwyBGIa9yjkPxUlSysNQdzGs9F61io+RKzuexbJl2fbMomMyLQjB0slZsb+kMcacI6pKykONaz/2mFOG4IWiCPhxG9XxamGM26m8H+anXfTrH3bUa+66hHPDdiznHLs74Wge25Ly2bLlc8YYc448qEynyHA/DAvGdNxvDOvPcrQITGRIwqu2p+36cWX33T3SxznnyI8ssovDErMxxpwjx3vDayJyVL5zWDAm9+w3LqNDFVJKrNpMGpO1iLBq81HPeJ2k19b3m7Nl4w/GGHOOHCXc71Ia8/4FY84J2meatkdEcOOq7hjGYyD7TAiOVZuBPPSUcyZnKApLzWfN/qLGGHOOPGioWpXvupVpSMLD3PF6SDuG4Wzk9XC1c46qcEc9ZwfDbTsx6sxZj9kYY86RB+1tPl4aU8fKX8NgNUcHT4gI0bsXzSUfH652zlkP+RF46L+wiLxORD4lIs+JyBdF5ANn2TBjjDEPZxiqdkN9a+/uScp90qN5aIXh9ti7DsGR89255PVwdQiWjB+l0/SYe+AXVPVzIrIDfFZEPqGqf3BGbTPGGHOGHrRiG4YetPcyDlcP+53XPeXChqsfuYdOzKr6PPD8+PWBiDwHvAawxGyMMRvoO67YXtfdxIarN8GZ/PVF5PXAW4DPPODf3i8iz4jIMzdu3DiLX2eMMeYhrFdsH3f/im3z+J06MYvIDPhN4IOqeuf+f1fVp1X1KVV96oknnjjtrzPGGPOQHmbFtnn0TpWYRSQyJOVfV9WPnU2TjDHGvBIeVFwkeHnR8LZ5vB56jlmGZ/IjwHOq+itn1yRjjDGvlPuLi5jNc5oe89uBvwO8U0Q+P368+4zaZYwxxlxIp1mV/T/A1gwYY4wxZ8nWxBtjjDEbxBKzMcYYs0EsMRtjjDEbxBKzMcYYs0EsMRtjjDEbxBKzMcYYs0EsMRtjjDEbxBKzMcYYs0EsMRtjjDEbxBKzMcYYs0EsMRtjjDEbxBKzMcYYs0EsMRtjjDEbxBKzMcYYs0EsMRtjjDEbxBKzMcYYs0EsMRtjjDEbxBKzMcYYs0EsMRtjjDEbxBKzMcYYs0EsMRtjjDEbxBKzMcYYs0EsMRtjjDEbxBKzMcYYs0EsMRtjjDEbxBKzMcYYs0EsMRtjjDEbxBKzMcYYs0EsMRtjjDEbxBKzMcYYs0FOlZhF5F0i8iUR+bKI/NJZNcoYY4y5qB46MYuIB/4l8FPADwM/IyI/fFYNM8YYYy6i0/SYfxT4sqr+P1VtgX8P/PTZNMsYY4y5mE6TmF8D/Omx218b7zPGGGPMQwqn+F55wH36ogeJvB94/3izEZFnT/E7N8E14IXH3YgzYHFsjvMQA5yPOM5DDGBxbJIfOOk3nCYxfw143bHbrwW+cf+DVPVp4GkAEXlGVZ86xe987M5DDGBxbJLzEAOcjzjOQwxgcWwSEXnmpN9zmqHs/wW8UUTeICIF8D7gt07x84wxxpgL76F7zKrai8jfA34X8MCvqeoXz6xlxhhjzAV0mqFsVPW3gd8+wbc8fZrftyHOQwxgcWyS8xADnI84zkMMYHFskhPHIKovWq9ljDHGmMfESnIaY4wxG+SRJOZtLd0pIr8mItePb/ESkSsi8gkR+aPx8+XH2caXIiKvE5FPichzIvJFEfnAeP+2xVGJyO+JyBfGOH55vP8NIvKZMY7/MC5E3Ggi4kXk90Xk4+PtbYzhqyLyf0Tk8+tVp9v2mgIQkUsi8hsi8ofjNfJj2xaHiPzA+DysP+6IyAe3MI5/MF7bz4rIR8drfhuvjQ+MMXxRRD443nei5+IVT8xbXrrz3wDvuu++XwI+qapvBD453t5kPfALqvpDwNuAnx///tsWRwO8U1XfBLwZeJeIvA34p8A/H+O4BfzcY2zjy/UB4Lljt7cxBoC/pKpvPradZdteUwD/AvgdVf1B4E0Mz8tWxaGqXxqfhzcDfw5YAP+JLYpDRF4D/H3gKVX9EYYFxe9jy64NEfkR4O8yVMZ8E/AeEXkjJ30uVPUV/QB+DPjdY7c/BHzolf69Z9j+1wPPHrv9JeDV49evBr70uNt4wnj+C/BXtjkOYAJ8DvjzDMUHwnj/Pa+1Tfxg2O//SeCdwMcZCvVsVQxjO78KXLvvvq16TQG7wFcY19psaxz3tf2vAv9z2+LgbiXJKwyLkj8O/OS2XRvA3wQ+fOz2PwZ+8aTPxaMYyj5vpTtfparPA4yfn3zM7XnZROT1wFuAz7CFcYxDwJ8HrgOfAP4YuK2q/fiQbXht/SrDhZrH21fZvhhgqPL3X0Xks2N1P9i+19T3AzeAfz1OLXxYRKZsXxzHvQ/46Pj11sShql8H/hnwJ8DzwD7wWbbv2ngWeIeIXBWRCfBuhkJcJ3ouHkViflmlO80rS0RmwG8CH1TVO4+7PQ9DVZMOw3WvZRgq+qEHPezRturlE5H3ANdV9bPH737AQzc2hmPerqpvZZii+nkRecfjbtBDCMBbgX+lqm8B5mzwcO9LGedf3wv8x8fdlpMa51x/GngD8L3AlOG1db+NvjZU9TmG4fdPAL8DfIFhOvFEHkViflmlO7fIt0Tk1QDj5+uPuT0vSUQiQ1L+dVX92Hj31sWxpqq3gU8zzJlfEpH1fvxNf229HXiviHyV4TS2dzL0oLcpBgBU9Rvj5+sM85k/yva9pr4GfE1VPzPe/g2GRL1tcaz9FPA5Vf3WeHub4vjLwFdU9YaqdsDHgL/Adl4bH1HVt6rqO4CbwB9xwufiUSTm81a687eAnx2//lmGOduNJSICfAR4TlV/5dg/bVscT4jIpfHrmuFCfg74FPA3xodtdByq+iFVfa2qvp7hOvhvqvq32KIYAERkKiI7668Z5jWfZcteU6r6TeBPRWR9yMBPAH/AlsVxzM9wdxgbtiuOPwHeJiKT8f+s9XOxVdcGgIg8OX7+PuCvMzwnJ3suHtGE+LuB/8swJ/iPHvcE/Qna/VGG+Y6O4d31zzHMCX6S4V3QJ4Erj7udLxHDX2QY/vnfwOfHj3dvYRx/Fvj9MY5ngX8y3v/9wO8BX2YYwisfd1tfZjw/Dnx8G2MY2/uF8eOL62t6215TY5vfDDwzvq7+M3B5S+OYAN8G9o7dt1VxAL8M/OF4ff9boNy2a2OM478zvKn4AvATD/NcWOUvY4wxZoNY5S9jjDFmg1hiNsYYYzaIJWZjjDFmg1hiNsYYYzaIJWZjjDFmg1hiNsYYYzaIJWZjjDFmg1hiNsYYYzbI/weL3lCmUX9t7gAAAABJRU5ErkJggg==\n", 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" ] @@ -380,7 +368,7 @@ }, { "cell_type": "code", - "execution_count": 259, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -465,7 +453,7 @@ "5 37 14 40 0 1369" ] }, - "execution_count": 259, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -497,22 +485,22 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 35, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -538,7 +526,7 @@ "metadata": {}, "source": [ "## 2.1 Model\n", - "Now we need to think of a model that can explain this data. It's often easiest to start with the labels. The labels are $y \\in {0, 1}$. \n", + "Now we need to think of a model that can explain this data. It's often easiest to start with the labels. The labels are $y \\in \\{0, 1\\}$. \n", "\n", "## Exercise\n", "* What is a distribution that can generate these labels?\n", @@ -567,13 +555,47 @@ "$$ y \\sim Bernoulli(p) $$\n", "$$ p = \\frac{1}{1 + e^{-z}} $$\n", "$$ z = \\beta X $$\n", + "$$ \\beta \\sim N(0, 15) $$\n", "\n", "* Now we need to set $P(\\theta)$ e.g. priors on $\\beta$." ] }, { "cell_type": "code", - "execution_count": 237, + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "x = np.linspace(-75, 75)\n", + "plt.plot(x, stats.norm(0, 15).pdf(x))" + ] + }, + { + "cell_type": "code", + "execution_count": 15, "metadata": {}, "outputs": [ { @@ -600,7 +622,7 @@ }, { "cell_type": "code", - "execution_count": 238, + "execution_count": 16, "metadata": {}, "outputs": [ { @@ -609,7 +631,7 @@ "1.0" ] }, - "execution_count": 238, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } @@ -620,7 +642,7 @@ }, { "cell_type": "code", - "execution_count": 239, + "execution_count": 17, "metadata": {}, "outputs": [], "source": [ @@ -641,7 +663,7 @@ }, { "cell_type": "code", - "execution_count": 240, + "execution_count": 18, "metadata": {}, "outputs": [], "source": [ @@ -651,7 +673,7 @@ }, { "cell_type": "code", - "execution_count": 241, + "execution_count": 19, "metadata": {}, "outputs": [ { @@ -665,16 +687,16 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 241, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -691,7 +713,7 @@ }, { "cell_type": "code", - "execution_count": 242, + "execution_count": 20, "metadata": {}, "outputs": [ { @@ -702,7 +724,8 @@ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [beta]\n", - "Sampling 4 chains: 100%|██████████| 4000/4000 [00:22<00:00, 179.48draws/s]\n" + "Sampling 4 chains: 100%|██████████| 4000/4000 [00:19<00:00, 200.58draws/s]\n", + "The acceptance probability does not match the target. It is 0.8927220632971556, but should be close to 0.8. Try to increase the number of tuning steps.\n" ] } ], @@ -713,33 +736,24 @@ }, { "cell_type": "code", - "execution_count": 243, + "execution_count": 21, "metadata": {}, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/miniconda3/lib/python3.7/site-packages/matplotlib/axes/_base.py:3455: MatplotlibDeprecationWarning: \n", - "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n", - " alternative='`bottom`', obj_type='argument')\n" - ] - }, { "data": { "text/plain": [ - "array([[,\n", - " ]],\n", + "array([[,\n", + " ]],\n", " dtype=object)" ] }, - "execution_count": 243, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -756,27 +770,27 @@ }, { "cell_type": "code", - "execution_count": 244, + "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([,\n", - " ,\n", - " ,\n", - " ,\n", - " ],\n", + "array([,\n", + " ,\n", + " ,\n", + " ,\n", + " ],\n", " dtype=object)" ] }, - "execution_count": 244, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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kSZKKB3uwJEmSJClGTLAkSZIkKUZMsCRJkiQpRkywJEmSJClGTLAkSZIkKUZMsIohp12XJEmSSianaS+GnHZdkiRJKpnswZIkSZKkGDHBkiRJJYpD6SUVZw4RlCRJJYpD6SUVZ/ZgSZIkSVKMmGBJkiRJUoyYYEmSJElSjJhgSZIkSVKMmGBJkiRJUoyYYEmSJKnMyO80/14WQPnlNO2SJEkqM5zmXwXNHixJkiRJihETLEmSJEmKERMsSZIkSYoREyypjPNkX0mSpNhxkgupjPNkX0mScpaaFpEQF/JcfkdaRLl8lM/v86v4M8GSJEmScrA/ByI9cFm2OURQkiRJkmLEBEuSJEmSYsQES5IkSZJixARLBerTFx/jgYvacX+3U5g6+tHM5R88+k/u7tKUET1SSEpKYsHUiQAsnfkFw7t34MHfn8baZUsA2LppA6OuvIgoyn72usf7/44V38zMfLxu5TIeuKgdAEumf8rBBx/MiJ4due+Ck/ngsXszlw9pX5cRPTvyr/Pb8Nhl5zJ/8vsF8h5IknLn7KTpcoqZQ4YMyYyZI3qk7DNmdunSJV8xMzExEcgaG3OLme3btzdmSrlwkgsVmB8XzefLN1/gyufeI75ceZ4ecDEN251GtaPrAdC21+W0/8NVWU4Gnfr8I/QaNop1K5fzxWvPcPZfbuejJ/5FymUDCWH/Zthp164dp9zxDNu3bmFEj440anc6AMcmtaH3iBcBWPntHJ7/y6WUq1ARki+IQeslSXnlbKZ5j5m7yylm3vn3v/Of/YyZu2JjbjHzjLCCjmd1pVyFihx3YvsDaLVUOtmDpQKz5vuFHNW0BeUrVSY+IYE6LU5m3kcTct0mLiGBHdu2sWPbVuITEvhp+fdsXL2Kui3aHnB9ylc6iCMbNeenFd/vta5Wg6Z07n8d/3n1qQN+HUmS8iuWMbNDhw4HXJ/cYmZSUpIxU8qFPVgFrCxf26BmvUa899BdbFn/M+UqVOTbqR9Qu3HzzPX/eeUpZox/lYXtTuSoS/9OpaqHkNL3Gt688zrKVaxI9zseZsL9t3LalYP3+Vqv3Hh5eu8TsHPHDkLc3scOtqz/mWVzvqJT/+vYsu6nvdbXatSMyc89dAAtliRB2Y59+yuvMfPIxs05+y+3xzRmVq9cbq8yxkxp/5lgFbD8DnuA0jP0oUbd+nTofTWjruxG+UoHcUT9JsTFp//LnXhRbzr1vw5CYMsbw3nnvlvoNmQEtRo05crn3gXg+68+4zfVDyeK4MVB/YhPKMdZf7kN2Pv9ufgfj1K7cRKQPp782Wt6Za6bMmUKX/fsSAhxpPT5MzXrNWTJ9E/3rnAO49UlSfnjkL/8yy1mXnHFFZQ/5woIgYkP373PmHnxxRezcFMaZ/3lNn7z2xp7vdaeMfOdQX/IXLd05ueMMGZKB8QESwWq1Xm/p9V5vwfgvZF3UrVmLYAsX/j9+/fnqVPPzLJdFEV89NT9XDL0CcbeM5hTLx/EupXL+OylJ+DU+/NVh13nYO3LygVzqFGnfr6eW5KkWMkpZtasWZO4lekJa+sL/l+Wg4iwd8x8+b47ueeDWXz20hN0GXBjvuqw+7lWuTFmSjnzHCwVqM0/rwFg/aoVzPv4HZLOSJ9AYuOaHzPLvPnmm9Ss1zDLdl+//TINTzmVSlUPYce2rYS4OEJcHDu2bS2Qeq5aOI+PnryPNt37Fsjzlyb5ne3L2cEkKW9yipmrVq3KLDPvown7jJlxBRwzZ8+ebcyUcmEPlgrU6Ov78MuGdcQllKProHuoVPUQAP49/HZWLZxLINCqUT3Ovu6uzG22b/2Fr8e/Qt+HxgBwSq/LGf3XPsQnlKPH3Y/HrG67hkHs2LaVKodW49y/3uVsSHng0B9JKhg5xcwbbriBiZ9/RSBwaK2jOO/GYZnbZBczL7zwQn5OjSuwmPnOUUcYM6VcmGCpQP1p1Phsl19858OZ93efph2gfKXK9H/8rczHdU44iYGvTs7xNf74xNgsjw+tdTQDx0wBoG7Ltjze/3d7JQR1W7ZlyOQleW+IJJVhTlpROHKKmc8//3yOB7ayi5mPzZmTY/nsYubcuXMZOmMtdVu2pW7LvWft3TNm7hm3JWVlgiVJknJlz7VUcPJ7AMMDHsWfCVY++U8tSZKkWPEARuljgpVP7gSSJEmScuIsgpIkSZIUIyZYkiRJkhQjJliSJEmSFCMmWJIKlBcmliRJZUmZn+TCWQGlguXEMJIkqSwp8wmWP/4kSZIkxUqxHyK4bt06zj//fJo1a0br1q2ZO3dutuUuu+wymjdvTrNmzejWrRubN2/Osv61114jhMD06dMBmDhxIi1atKBp06aMvKQzi6dNKfC2SGXZ5GcfZESPFEb0SOGBi9rx95Y1+WXDur3KRVHEjTfeSP369WnUqBEjRozIsv7LL78kPj6e1157LXNZfHw8SUlJJCUl0bVr1wJvi1RQ+vbtS40aNUhMTMxcNmvWLE466SSaNm3Kueeey8aNG7Pddvjw4SQmJtKkSRMeeOCBLOtGjhxJgwYNaNKkCTfccEOWdcuWLaNKlSoMGzYs9g2SFHO7htIvX76cjh070qhRI5o0acLw4cOBvb8zfl6/IdvnWb9+Pd26daNhw4Y0atSI//znPwDcfPPNNGvWjKSkJE4//XRWrlwJ5P03uUpAgnXXXXeRlJTE7Nmzee6557jmmmuyLXf//fcza9YsZs+ezdFHH82DDz6YuW7Tpk2MGDGCE088MXNZtWrVePvtt5kzZw4X3f4gr958ZYG3RSrL2l86gD+/PIk/vzyJLgNuos4JJ1P54EP3KvfMM8+wfPlyFixYwPz58+nRo0fmup07dzJo0CC6dOmSZZtKlSoxc+ZMZs6cybhx4wq8LVJB6d27N++++26WZf369WPo0KHMmTOH888/n3vvvXev7ebOncsTTzzBtGnTmDVrFuPHj+e7774D4OOPP2bs2LHMnj2befPmcf3112fZ9tprr+XMM88suEZJiqldo68emb+BxP43cemLU+j+2Dvccd8Irn39U86+pDdNLxtMr+c+psIJp3L/v7I/eHLNNddwxhlnsGDBAmbNmkWjRo0A+Otf/8rs2bOZOXMm55xzDrfffjuQ99/kKgEJ1jfffEPnzp0BaNiwIUuXLuV///vfXuWqVq0KpB/93rp1KyH833lVN998MzfccAMVK1bMXJacnEytWrUAqFmvITu2/0rq9l8LsimSMsx67w2an3FBtuseeeQRbrnlFuLi0r+eatSokblu5MiRXHjhhVmWSaVJ+/btOeyww7Is+/bbb2nfvj0Ap512Gq+//vpe282fP582bdpQuXJlEhIS6NChA2+++SaQvk8NHjyYChUqAFn3qbfeeou6devSpEmTgmqSpAJStfrhHNmoOQAVDqpCjTr12bh6FWt/WESdE04G4Lg2Kdl+Z2zcuJHJkydz2WWXAVC+fHkOOeSQ9OfN+E0NsGXLlszf1Hn9Ta4SkGA1b96cN954A4Bp06bxww8/sGLFimzL9unTh8MPP5wFCxZw9dVXAzBjxgyWL1/OOeeck+NrzP3wbWo1aEpC+Qqxb4CkLLZv/YWFn31EYufs98nFixfzyiuv0LJlS84888zMo/D//e9/efPNN7n88sv32mbbtm20bNmSNm3a8NZbbxVo/aXClpiYmNkzO2bMGJYvX55tmcmTJ/PTTz/xyy+/MGHChMxyCxcuZMqUKZx44ol06NCBL7/8Ekj/4XTPPfdw6623Fl5jJBWIdSuXsfLbORyV2IKa9Rox/5P0nvA5H4zL9jtjyZIlVK9enT59+pCcnEy/fv3YsmULkD4E8cYbb+Soo45i9OjRmT1Y+flNXtYV+wRr8ODBrFu3jqSkJEaOHElycjIJCdnPzfH000+zcuVKGjVqxCuvvEJaWhrXXnst//rXv3J8/nnz5vHuiDs4/0bHnkuFYcHk9zimeetshwcC/Prrr1SsWJHp06fTv39/+vbtC8DAgQO55557iI+P32ubZcuWMX36dF588UUGDhzI4sWLC7QNUmEaNWoUDz30EC1atGDTpk2UL19+rzKNGjVi0KBBnHbaaZxxxhk0b948M1ampqaybt06Pv/8c+699166d+9OFEXceuutXHvttVSpUqWwmyQphn79ZTMvXN+Hc667k4pVfsOFtw7nP6+OYuQlnfl1y2bKly/P0Blrs9yenLeWr77+msqdenLxqInM/yWOcwfewtAZa0mIC/zjH/9g+fLl9OrVK/O0m/z8Ji/riuW78tBDD/HEE08AMGHCBJ5++mkgffhfnTp1qFOnTo7bxsfHc/HFF3PvvfdywQUXMHfuXFJSUgD48ccf6dq1K+PGjaNly5asWLGC888/n4tuf5DfHpXzc0raP/955SmS+rzE6q2p9B75MlWrH86s99/KcXggQO3atbnwwgsBOP/88+nTpw8A06dPzzwfa+3atUyYMIGEhATOO++8zOG+devWJSUlhRkzZlCvXr0Cbp1UOBo2bMj7778PpPdGvfPOO9mWu+yyyzKH+/z973+ndu3aQPo+dcEFFxBCoHXr1sTFxfHj6jV88cUXvPbaa9xwww2sX7+euLg4KlasyIABAwqnYZIO2M4dOxh9fR+SzuqWOTKkRp3juezhMQCs+WExG7/+eK/tDq5xBFVr1OLopi0ASOx8Lp88M2Kvcpdccglnn302t912G1WrVs3Xb/KyrFgmWFdddRVXXXUVkD7Dyfbt2ylfvjxPPvkk7du3zzI2FNI/5MWLF3PccccRRRFvv/02DRs25OCDD2bt2v+bgj0lJYVhw4bRsmVL1q9fz9lnn83dd9/Nd3VPRFLsnXTxZYwdOijzUgjbNm3k+68+4+I7H85xm/POO4+PPvqIvn378sknn1C/fn0Avv/++8wyvXv35pxzzuG8885j3bp1VK5cmQoVKrB27Vo+/fTTvWZJk0qy1atXU6NGDdLS0rjzzjuzHSa7e7lly5bxxhtvZM4ItmufSklJYeHChWzfvp3Da1Tn7BFvZm77waP/pHzlg9jctke2ly7xEiVS8RNFEa/fPpDqderT7vdXZC7f/PMaqhxWnbS0ND5+8j4GXH45q/fY9jfVanJIzVqsWbqI6scex+JpU6hRpwEA3333HccffzwA48aNo2HDhkD6b/LKlSvn+ptc6YplgrW7+fPn84c//IH4+HgaN27MU089lbnurLPO4sknn+Twww/n0ksvZePGjURRRPPmzXnkkUdyfd4HH3yQRYsWcccdd7B6a/r4874Pj6HKYdULtD1SWTbv43c4vk0K5SsdlGX501f34MJbHqBq9cO5/oZBXPr/fs/9999PlSpVePLJJ3N9zjnzvuGqKy4nLi6OtLQ0Bg8eTOPGjQuyGVKB6dmzJ5MmTWLt2rXUrl2b2267jc2bN/PQQw8BcMEFF2T26q5cuZJ+/foxYcIEAC688EJ++uknypUrx0MPPcShh6YPw+3bty99+/YlMTGR8uXL8+yzz2aZCEpSyfTDzC+Y8c6rHH5cY0b0SAHg9AE38tOyJfzn1VEAJHY6mz59+nDPzJ/YuOZHXr99IH1GvgzAuYPu5pUbL2fnjh0cVvsYug1J78EaNGgwCxd+S1xcHMcccwyPPvookPNv8tS0iIQ4v1N2V+wTrJNOOinzJPc97QoqAJ9++uk+n2vSpEmZ92+66SZuuukmgHxdaFjS/mvRtSctuvbca/muL3uAaocdSrs7n818/O80+Pce+2jDa4axiPR99/qTT2bOnDl5roOBQMXZSy+9lO3y7KZDrlWrVpY4OGVK9tdzLF++PC+88EKur3vq5fb6SiXNscltuPvrNdmua3vJnzLv7zqgUrX64Vniba0GTRkw+oO9tn3jjdez/DZ+fjWwei1UPJ7LXv1P5vLHlu6EpWvt4c5GsU+w8ssfT1LZsut6IHllIJAkSQWp2CdY+U2Y/LElSSpO8hvHCrq8JMXS/nwHlfbvrWKfYJkwSZJKsvzGseub/7ZAnx+MlZJix++gvYUoivJaNs8Fc7M/GWt+E6z9Lf+3E5zgQioIOY0Rz86B7MN5La9CU9wOT8Ykju2PwopjB7qNcVAqWfISXwsjrpbiBGu/4lih92DZIyW9gLfvAAAgAElEQVRJkiQpr0ra0OliP0RQkmIpv1+6O9IiyhVg+aIOAso/PzNJKlwlrYPGBEtSmbI/X9IleciiJx/HXkkL9JJU3JT2OJPnc7Buu+22d4HiGiVqASuLuhJFwHaXLWW13VB2217S27321ltvPaOoK7FLIcexkv7ZlfT6Q8lvg/UveiW9Ddb/wO1fHIuiqMTfhgwZEhV1HWy37bbdtt12eystn11Jr39paIP1L/pbSW+D9S+6W1wBZHqSJEmSVCaVlgTrtqKuQBGx3WVLWW03lN22l9V2lwYl/bMr6fWHkt8G61/0SnobrH8Ryc91sCRJkiRJuSgtPViSJEmSVORMsCRJkiQpRkywJEmSJClGSmSCFUJoHkL4TwhhTgjh7RBC1RzKLc0oMzOEML2w6xlr+Wj3GSGEb0MIi0IIgwu7nrEWQkgKIXy+63MMIbTOodzOjDIzQwjjCruesZaPdl8aQvgu43ZpYdezIIQQXtnts1waQpiZQ7nSto/ntd2lah8v6UIIo0IIq0MIc3dblqf9tzgIIRwVQvg4hDA/hDAvhHBNxvLDQggTM75bJoYQDi3qumYnl/rfG0JYEEKYHUJ4M4RwSFHXNTs51X+39deHEKIQQnG9FmmubQghXJ3xfTUvhPDPoqxnTnL5HyoR+3EIoWIIYVoIYVZG/W/LWF4nhPBFxj78SgihfFHXNSe5tGF0xv/P3Izv2nJFXdc8Kep54vfnBnwJdMi43xe4I4dyS4FqRV3fwmw3EA8sBuoC5YFZQOOirvsBtvt94MyM+2cBk3Iot7mo61rY7QYOA5Zk/D004/6hRV33GL8P/wJuyWFdqdrH89Lu0riPl/Qb0B44AZi727I8fW8VhxtwBHBCxv3fAAuBxsA/gcEZywcD9xR1XfNZ/9OBhIzl95S0+mc8Pgp4D/ihOH/X5fIZdAQ+ACpkrKtR1HXNZ/1LxH4MBKBKxv1ywBdAG+BVoEfG8keBK4q6rvvRhrMy1gXgpeLcht1vJbIHC2gATM64PxG4sAjrUpjy0u7WwKIoipZEUbQdeBn4XSHVr6BEwK7euoMp+qt6F5a8tLsLMDGKop+jKFpH+v9F/q84XkyFEALQnfQv1TJjH+0ujft4iRZF0WTg5z0XU0K+t6IoWhVF0dcZ9zcB84EjSf+/ejaj2LPAeUVTw9zlVP8oit6Poig1o9jnQO2iqmNucnn/Ae4HbiD9/6nYyqUNVwBDoyj6NWPd6qKrZc5yqX+J2I+jdJszHpbLuEVAJ+C1jOXFdh+GnNsQRdGEjHURMI1iuh/vqaQmWHOBrhn3LyL9CE92IuD9EMJXIYQ/FkrNClZe2n0ksHy3xyv4vy/qkmogcG8IYTkwDPhbDuUqZnThfx5CKLZfIvmQl3aXxs97d+2A/0VR9F0O60vbPr5Lbu0u7Z95aZHX761iJYRwLJBM+tHjmlEUrYL0H6BAjaKrWd7sUf/d9QX+Xdj1ya/d6x9C6Ar8N4qiWUVaqXza4zOoD7TLGKb2SQihVVHWLS/2qH+J2Y9DCPEZw8pXk36wdTGwfreDDMU+VuzZhiiKvthtXTng/wHvFlX98iOhqCuQkxDCB8Dh2ay6kfQvyhEhhFuAccD2HJ6mbRRFK0MINYCJIYQFGUcai60YtDtks6xYH/mCfba7M3BtFEWvhxC6A08Bp2ZT9uiMz7su8FEIYU4URYsLrtYHLgbtLpGfN+Te9iiKxmbc70nuvVelah/PY7tL7GdexlxB3r63io0QQhXgdWBgFEUb0ztSS44967/b8huBVGB0UdUtL3avP+n1vZH0YY4lRjb/QwmkD19vA7QCXg0h1M3ojSh2sqn/nZSQ/TiKop1AUsa5hm8CjbIrVri1yp892xBCSIyiaNe5rQ8Dk6MomlJ0Ncy7YptgRVG0r3/g0wFCCPWBs3N4jpUZf1eHEN4kfWhNsf7xFYN2ryBrz1ZtimmX9u5ya3cI4Tlg1wmzY4Anc3iOXZ/3khDCJNKPQBXrBCsG7V4BpOz2uDYwKUbVK1D7+l/PCMwXAC1yeY5St4/nod0lch8vgy4lD99bxUXG0eHXgdFRFL2Rsfh/IYQjoihaFUI4gvSjysVSDvUnpE/8cw7Qubj+qIe96x9CaArUAWZlJLq1ga9DCK2jKPqxCKuaoxw+gxXAG7uGd4UQ0oBqwJoiqmaOcqh/idqPAaIoWp/xG6gNcEgIISGjF6vExIrd2nAGMDeEcCtQHfhTkVYsH0rkEMGMo9WEEOKAm0g/cW/PMgeFEH6z6z7picncPcuVJHlpN+kTYRyfMXNMeaAH6b1dJdlKoEPG/U7AXsOmQgiHhhAqZNyvBrQFvim0GhaMfbab9JOfT89o/6Gk/5+/V0j1K2inAguiKFqR3crSuI9nyLXdlM59vDTKy/5bLGSc8/cUMD+Kovt2WzWO9B+YZPwdu+e2xUFO9Q8hnAEMArpGUfRLUdVvX7KrfxRFc6IoqhFF0bFRFB1LeqJyQjFOrnL6H3qL9P//XQeGywNrC7+Gucul/iViPw4hVM/o9SGEUIn0ODIf+BjollGs2O7DkGMbFoQQ+pF+vnnPKIrSirKO+XIgM2QU1Y30owkLM25DgZCxvBYwIeN+XdJn15oFzCN9+E2R172g253x+KyMMotLSbtPAb7K+Cy/AFpkLG8JPJlx/2RgTkaZOcBlRV3vwmh3xuO+wKKMW5+irncM2/8McPkey0r1Pp6Xdmc8LlX7eEm/kT6ccxWwg/QfwpfltP8Wx1tGXSNgNjAz43YW8FvgQ9J/VH4IHFbUdc1n/ReRfr7irmWPFnVd81P/PcospXjPIpjTZ1AeeIH0g19fA52Kuq75rH+J2I+BZsCMjPrPJWMG2ow4OS1jXxhDxmyOxfGWSxtSM2Ldrs8l21mFi9tt1w90SZIkSdIBKpFDBCVJkiSpODLBkiRJkqQYMcGSJEmSpBgxwZIkSZKkGDHBkiRJkqQYMcGSJEmSpBgxwZIkSZKkGDHBkiRJkqQYMcGSJEmSpBgxwZIkSZKkGDHBkiRJkqQYMcGSJEmSpBgxwVKZF0I4NoQwNx/le4cQau3na90bQlgQQpgdQngzhHDI/jyPJEm7FHIcuyMjhs0MIby/v88jlWYmWFL+9Qb2N6BMBBKjKGoGLAT+FqtKSZKUR73Z/zh2bxRFzaIoSgLGA7fErFZSKWGCJaVLCCE8m3FU7rUQQuUQQosQwichhK9CCO+FEI4IIXQDWgKjM47eVQoh3BJC+DKEMDeE8HgIIeT0IlEUvR9FUWrGw8+B2oXROElSqVdYcWzjbg8PAqKCbphU0oQocr9Q2RZCOBb4HjgliqJPQwijgPnA+cDvoihaE0K4GOgSRVHfEMIk4PooiqZnbH9YFEU/Z9x/Hng1iqK38/C6bwOvRFH0QkG0S5JUNhR2HAsh/AP4A7AB6BhF0ZqCa51U8tiDJaVbHkXRpxn3XwC6AInAxBDCTOAmcu5t6hhC+CKEMAfoBDTZ14uFEG4EUoHRB1xzSZIKMY5FUXRjFEVHkR7DBsSk9lIpklDUFZCKiT27cjcB86IoOim3jUIIFYGHgZZRFC0PIQwBKu5jm0uBc4DOkV3IkqTYKLQ4tpsXgXeAW/NZV6lUswdLSnd0CGFXEOpJ+vlR1XctCyGUCyHsOqK3CfhNxv1dQWhtCKEK0C23FwkhnAEMArpGUfRLLBsgSSrTCiuOHb/bw67AglhUXipN7MGS0s0HLg0hPAZ8B4wE3gNGhBAOJn1feQCYBzwDPBpC2AqcBDwBzAGWAl/u43UeBCqQPmQD4PMoii6PdWMkSWVOYcWxoSGEBkAa8ANgDJP24CQXkiRJkhQjDhGUJEmSpBhxiKBUAEIIDwFt91g8PIqip4uiPpIk5YdxTNp/DhGUJEmSpBhxiKAkSZIkxUh+hgja1SVJyo9Q1BXYg3FMkpQf+xXH7MGSJEmSpBgxwZIkSZKkGDHBkiRJkqQYMcGSJEmSpBgxwZIkSZKkGDHBkg5Qalr+JibLb3lJkgqScUyKrfxcaNi9ScrB0Blr81x2cHK1AqyJVKw4TbtUBFLTIhLi8rf7GcekbO1XHMvPdbAkSZJUzCXEBRMmqQg5RFCSJEmSYsQES5IkSZJixARLkiRJkmLEBEuSJEmSYsQES5IkSZJixARLkiRJkmLEBEuSJEmSYsQES5IkSXmWmpa/a3bnt7xU0nmhYUmSJOWZFzKWcmcPliRJkiTFiAmWVMi+/PJL4uPjee2117Jdn5KSQoMGDUhKSiIpKYmVP/4vc92rr75K48aNadKkCZdccknm8htuuIEmTZrQqFEjBlx9NVHkcAxJUva+mfRvhnfvwIgeKTzY61SmTp2abbn/fjOLB7q3596urRj3z79lxpZZs2bx8KVn8kD39jx7TS+2bd4EwPK5XzOiRwojeqQw/OIU5n30TqG1SSpOHCIoFaK0nTsZNGgQXbp0ybXc6NGjadmyZebjoTPWsnbZYl685Q76PzaOSlUPYfPPaxg6Yy0/zJrGv9+fxB+f/QiAt68+j08++YSUlJSCbIokqYSq17odjTqcQQiBVQvn0a9fP3q/tHeS9dbdf+X8G//F0c1a8szVPVj42Yc0aHsq/fr144w/30TdFm2Z/tZoJj/3IKdf+Tdq1mvIVS98QHxCAhvX/MiIHh1p2D73eCeVRvZgqdRaunQpDRs2pF+/fiQmJtKrVy8++OAD2rZty/HHH8+0adPYsmULffv2pVWrViQnJzN27NjMbdu1a8cJJ5zACSecwGeffQbApEmTSElJoVu3bjRs2JBevXrlq7fos5ef4LwLLqBGjRr5bs+Xb7zASd37UqnqIQBUOax6xprAjl9/ZeeO7aRu/5UdO3ZQs2bNfD+/JKlgFLd4VKFyFUIIAGzf+kvm/d1tXPMjv27ZxDHNWxFCIPmci/nm438D8O2331LnhJMBOK5NCvM+HA9A+UqViU9IP3afuv3XbJ9XKgvswVKptmjRIl565VUef/xxWrVqxYsvvsjUqVMZN24cd911F40bN6ZTp06MGjWK9evX07p1a1I6daZGjRpMnDiRihUr8t1339GzZ0+mT58OwIwZM5g3bx61atWibdu2fPrpp3BQQ8YPu4kl0/c+Atisy/mk9LmGDatX8c3HExg7bQqtz+/Fju83siibk4SXbd7BOT3/QFxcHE06n8v7D90FwNpliwF4tM9ZpO1Mo/Of/kqDtp05pnkr6rU6hbtOTyQi4ro/X02jRo0K8F2VJOXXokWLGDNmTL7i0amnnkqNGjX493vvU6VypTzFo1NOOYVrr72WVyZM3KsOu+IRwLyP3uG9B+9k889r+fDdCXyyR9mNa36kao1amY8PrnEEG1avAiAxMZH5n7xL45QzmfPBONb/77+Z5ZbN+YrXb7uG9auW0/2OhzMTLqks8b9epVqdOnVIbt6MoTPWEh1xHFvqteaemT/xc9yRTJu/iOkLl5L66pvccMdQAH7Z9AsrVyynVq1aDBgwgJkzZxIfH8/ChQszn7N169bUrl0bgKSkJJYuXQpNGnLO9XfmWpfxw27kjD/fQnx8fK7lLv7Hoxxc4wh+3bKZF/7ah+effx6ansXO1FTWLl9C/8fHsmH1Sh677FwGjpnClnU/sfr7hQx+dxYA717fk8mTJ9O+ffsDeOckSbFUp04dmjZtCkCTJk3o3LkzIQSaNm3K0qVLWbFiBePGjWPYsGEAbNu2jWXLlmXGo4mff0VcXBxrly1h6Iy1LPluAzUaJfPCmoqw5mei2g0ZOWkOUw9qyP3330/NP+Q+y1+TTmfTpNPZfP/VZ9x8882ceu/LWdZn1xu2q0dq1KhRnNvnCj58fBiNOpxBfLnymWWObtqCa1+byuolCxlz6wDqt+18QO+bVBKZYKlUq1ChQub9EBdIKF8+434caTt3EuLi6XXv01Q/9rjMco0aVWPIkCHUrFmTWbNmkZaWRsWKFbN9zvj4eFJTUwH22YP1329m8dLf/siEW+NYtXoN3079kLj4BJp0PCtL+YNrHJH+OgdVIemMC5g2bRq1m57FwTVrcXTTFsSXK8dhRx5D9WOOY+2yJXw//VOOatqSCpWrAHDmmWfy+eefm2BJUjGye+yIi4vLfBwXF0dqairx8fG8/vrrNGjQIMt2u+LRn1+eRJSWxi0n1c5ct3tikx7X0uNRXnqwdqnT4mTe/8c1nLTuJw469LeZyw+ucQQbV6/MfLxh9SqqVj8cgIYNG3LZw2MAWPPDYr6duvdr1ahbn/KVKvO/xQugTe291kulmQmWyrT6J3Xks5efoOugoYQQWLlgNiR3YsOGDdSuXZu4uDieffZZdu7cuc/n2lcP1g3jvwLSrwfSomsPGrY7fa/kamdqKts2beCgQ3/Lzh07WDDlfTp3O5v1QOOUM5n13hu06NqTLet+Yu2yxRx25DGsW7GUaW++wM4+10AU8cknnzBw4MD9fk8kSYWvS5cujBw5kpEjRxJCYMaMGSQnJ2fGox1xcUx/+2XS8hCP9tWDtXbZEn57VB1CCPx3/iy2b99O5UMOy1KmavXDKV+5CstmT+eopi2YMf4VTurRD4DVq1cDcaSlpfHxk/dx4oWXAvDzf3/g4JpHEp+QwLqVy1mzdBGHHnHU/r8pUgllgqUyrVP/6xg/7CaGX9wBoohDjjgKenbiyiuv5MILL2TMmDF07NiRgw46qEDrMaJHCn9+eRI7d/zKqKu6k5aaSlraTo47sT39+/fn3tnrqH9yJ777fBL3X9iWEB/PmQOHcNAhh5F4alcWfzmV4d3bE0Kg13lnc+655xZofSVJsXXzzTczcOBAmjVrRhRFHHvssYwfPz4zHq1/5iXqtmpL+UqVD/i15n00nq/Hv0p8QgIJFSrxyiuvMDVj+N+ueARw3t/v5bVbr2bHr9uof3InGrQ9FYCXXnqJYfeNACCx09m0+F36ZUOWzviCT54ZQXxCAiEujt/97Z9ZesWksiLkYwY0L6yjEqugrzif3+cv6PJSMVHcphAzjqnEKm5xxrikMmK/4pjTtEuSJElSjJhgSZIkSVKMmGBJkiRJUoyYYEl7SE3zNA1JkiTtH2cRlPaQEBc8eVeSJEn7xR4sSZIkSYoREyxJkiRJihETLKmMy+85Z56jJkmSlDPPwZLKOM85kyRJih17sCRJkiQpRkywJEmSClFZG2rtUHSVNQ4RlCRJKkRlbWh2WWuvZA+WJEmSJMWICZYkSZIkxYgJliRJkiTFiAmWJEmSJMWICZYkSZIkxYgJliRJkiTFiAmWJEmSJMWICZYkSZIkxYgJliRJkiTFiAmWVMqkpkVFXQVJkqQyK6GoKyApthLiAkNnrM1z+cHJ1QqwNpIkSWWLPVgqceyhkSQVJ8YlSbuzB0sljj00kqTixLgkaXf2YEmSJElSjJhgSZIkSVKMmGBJkiRJUoyYYEmSJElSjJhgSZIkSVKMmGBJkiRJUoyYYEmSJElSjJhgSZIkSVKMmGCpyKWmRUVdBUmSJCkmEoq6AlJCXGDojLV5Lj84uVoB1kaSJEnaf/ZgSZIkSVKMmGBJkiSp2MjvqQOeaqDixiGCkiRJKjY8dUAlnT1YkiRJkhQjJliSJEmSFCMmWJIkSZIUIyZYkiRJkhQjJliKOWfzkSRJUlnlLIKKOWf/kSRJUlllD5YkSZIkxYgJliRJkiTFiAmWJEnSbjyXWNKB8BwsSfmSmhaREBcKrLwkFTXPJZZ0IEywJOWLPzwkScWJB/5U3JhgSSpQBj5JRc3vldLNA38qbkywJBUoA5+koub3kKTC5CQXkiRJkhQjJliSJEmSFCMmWJIkSZIUIyZYkiRJkhQjJliSJEmSFCMmWNonr2gvSZIk5Y3TtGufnN5WkiRJyht7sCRJkiQpRkywJEmSJClGTLAkSZIkKUZMsCRJkiQpRkywJEmSJClGTLAkSVKJ4uVDJBVnTtMuSZJKFC8fIqk4swdLkiRJkmLEBEuSJEllRn6HmDokVfnlEEFJkiSVGQ4xVUGzB0tSseKRRUmSVJLZgyWpWPHIoiRJKsnswZIkSZKkGDHBkiRJkqQYMcGScvHpi4/xwEXtuL/bKUwd/Wjm8g8e/Sd3d2nKiB4pJCUlsWDqRACWzvyC4d078ODvT2PtsiUAbN20gVFXXkQUZX+u0OP9f8eKb2ZmPl63chkPXNQOgCXTP+Xggw9mRM+O3HfByXzw2L2Zy4e0r8uInh351/lteOyyc5k/+f0CeQ8kScVDXmLSiB4pTJgwASiYmDSkfV2Sk5ONSVIuPAdLysGPi+bz5ZsvcOVz7xFfrjxPD7iYhu1Oo9rR9QBo2+ty2v/hKgYnV8s8Z2jq84/Qa9go1q1czhevPcPZf7mdj574FymXDSSEsF/1aNeuHafc8Qzbt25hRI+ONGp3OgDHJrWh94gXAVj57Rye/8ullKtQEZIviEHrS47UtIiEuLy/t/ktL0nFQV5jEsBZydWYPWNtgcSkY5PaMGPK+9z+2Q95iknHndg+Bq2XShYTLCkHa75fyFFNW1C+UmUA6rQ4mXkfTaBD76tz3CYuIYEd27axY9tW4hMS+Gn592xcvYq6LdoecH3KVzqIIxs156cV31PlsOpZ1tVq0JTO/a/jP68+BZeXrQTLSTEklQUlNSaZYKksMsGSclCzXiPee+gutqz/mXIVKvLt1A+o3bh55vr/vPIUM8a/ysJ2J3LUpX+nUtVDSOl7DW/eeR3lKlak+x0PM+H+WzntysH7fK1Xbrw8vfcJ2LljByFu79G7W9b/zLI5X9Gp/3VsWffTXutrNWrG5OceOoAWS5KKq7zGpCMbN+dPz6THAmOSVDRMsKQc1Khbnw69r2bUld0oX+kgjqjfhLj49F3mxIt606n/dRACW94Yzjv33UK3ISOo1aApVz73LgDff/UZv6l+OFEELw7qR3xCOc76y23A3j0oF//jUWo3TgLSx7s/e02vzHVTpkzh654dCSGOlD5/pma9hiyZ/uneFc5hPL0kqeTLa0ya+PDdXHfdddS/+p95ikm/+W2NvV4rt5i0dObnJCcns3pbWpmJSQ5FV36ZYJVB7vh51+q839PqvN8D8N7IO6lasxZAloDUv39/njr1zCzbRVHER0/dzyVDn2DsPYM59fJBrFu5jM9eegJOvT9fddh1Dta+rFwwhxp16ufruSVJJUdeYlLrC/4f7wz6A7tHg9xiUpcBN+arDrvOwdrX0OzSFJMciq78MsEqg/yiyLvNP6+hymHVWb9qBfM+focrnvk3ABvX/EjV6ocD8Oabb1KzXsMs23399ss0POVUKlU9hB3bthLi4ghxcezYtrVA6rlq4Tw+evI+Lrg5f8mbJKnkyEtMmvfRBBITE7NsZ0ySCpcJlpSL0df34ZcN64hLKEfXQfdQqeohAPx7+O2sWjiXQKBVo3qcfd1dmdts3/oLX49/hb4PjQHglF6XM/qvfYhPKEePux+PWd2WzvycET07smPbVqocWo1z/3qXJxNLUimWl5h0aK2j+PDlp3n2x/RtjElS4TPBknLxp1Hjs11+8Z0PZ97ffZp2gPKVKtP/8bcyH9c54SQGvjo5x9f44xNjszw+tNbRDBwzBYC6LdvyeP/f7dXjWLdlW4ZMXpL3hkhSMebQ9bzJS0wCOOKIavBjetyIdUyq23LvGQiNSVJWJliSJKlIOXRdUmmy97ybklSKpablb2ar/JaXJEllmz1YksoUj5RLkqSCZA+WJEmSFCOOlJA9WJIkSVKMOFJC9mCVAh75kCRJkooHe7BKAY+USJIkScWDPViSJElSEfGcrdLHHixJkiSpiDgSqfSxB6uAbdu2jdatW9O8eXOaNGnCrbfeuleZZcuW0bFjR5KTk2nWrBkTJkwAYOnSpVSqVImkpCSSkpK4/PLLM7dJSUmhQYMGmes2/7ym0NoklTXHHnssTZs2JSkpiZYtW+61fuzYsTRr1ixz/dSpUzPXDRo0iMTERBITE3nllVcyl/fq1YsGDRqQmJhI37592bFjR6G0Rdrd8uXL6dixI40aNaJJkyYMHz58rzILFizgpJNOokKFCgwbNizLur59+1KjRg0SExOzLJ85cyZt2rTJ3CemTZtWoO2QyoK0nTsZ0bMj55xzzl7r7rvvPho3bkyzZs3o3LkzP/zwQ+a6ZcuWcfrpp9OoUSMaN27M0qVLAejduzd16tTJ/C05c+bMwmpKqWcPVgGrUKECH330EVWqVGHHjh2ccsopnHnmmbRp0yazzJ133kn37t254oor+OabbzjrrLMy//nr1auX4z/86NGjM3/s5efIh6T8+/jjj6lWLfujhp07d6Zr166EEJg9ezbdu3dnwYIFvPPOO3z99dfMnDmTX/9/e3ceHlV1P378fZIggkgpm7K50KqgyI5KVUQRQaQqgltxwa2itrVaBa1fEWor+FOr1arUhaKguBalSFERrUtdWEVcihsFlCqRRUHQBM7vjwwpIQsJTCYzyfv1PPNk5t5zJ59z59655zPn3Hu/+44jjjiCY489lvr16zN48GAmTpwIwM9+9jPuu+8+LrroolRWSSInJ4dbbrmFzp07880339ClSxd69+7N/vvvX1imYcOG3H777Tz11FPFlh8yZAi/+MUvOOuss4pMHzZsGNdddx3HHnss06ZNY9iwYbz00kuVXR2pWntt0j003Xtf4Lti8zp16sTs2bOpW7cud999N8OGDSv8Ue+ss87immuuoXfv3qxdu5asrP/1r9x0000MGjQoVVWoMezBqmQhBOrVqwdAXl4eeXl5hBCKlfn6668BWLNmDc2bN095nJK2X7169Qr363Xr1hU+f++99zjiiCPIyclhl112oUOHDkyfPh2Afv36EUIghMBBBx3EsmXLqix+1VzNmjWjc+fOAOy66660bduWzz77rEiZpk2b0q1bN2rVqlVs+R49etCwYcNi0z2uScm15vZ/MmEAACAASURBVIvP+fcrz9PtxDNKnH/kkUdSt25dAA455JDCY8p7771Hfn4+vXv3BgqOV5vLqfKYYKXAxo0b6dixI02bNqV3794cfPDBReaPHDmSiRMn0rJlS/r168cdd9xROO/TTz+lU6dOHHHEEbzyyitFljvnnHPo2LEj119/PTF6wqNUGfI3RUIIHHPMMXTp0oV77rmnxHKTJ0+mTZs2HHfccYwbNw6ADh068I9//INvv/2W3NxcXnzxRZYuXVpkuby8PCZMmEDfvn0rvS5SWRYvXsy8efOKHaO2x2233caVV15Jq1atuOKKKxg9enQSIpRqrqk3X8Oxl15HyNp20/3+++/n2GOPBWDRokU0aNCAk046iU6dOnHllVeycePGwrLXXHMN7du357LLLuO774r3jGn7OEQwBbKzs5k/fz6rV69mwIABLFy4sMh49UmTJjFkyBB+85vf8Prrr3PmmWeycOFCmjVrxpIlS2jUqBFz5szhxBNP5N1336V+/fo89NBDtGjRgm+++YaBAwfSgIZ07n9qFdZSqp5ysgKn/+Xv1G+yO2tXruC6i05mTtbu7N3lJ0UL7nU4Qya9yk++eY9rr72WGTNmcMwxxzBr1ix+8pOf0KRJE7p3705OTtGv3YsvvpgePXpw+OGHp7BWUlFr165l4MCB3HbbbdSvX3+H3+/Ou+7i1ltvZeDAgTz22GOcd955zJgxIwmRSjXP+y8/xy4Nm9Bi/w58Mvu1MstOnDiR2bNn889//hOA/Px8XnnlFebNm8cee+zBqaeeyvjx4znvvPMYPXo0u+++O99//z0///nPufHGGxkxYkQqqlTt2YOVQg0aNKBnz56FQ4Q2u//++znllFMA6N69Oxs2bCA3N5fatWvTqFEjALp06cKPfvQjFi1aBECLFi2AgiEdP/vZz1i6cG4KayLVLPWb7A5AvYZNOODIfix9d16pZXv06MHHH39Mbm7BeZHXXHMN8+fP5/nnnyfGyD777FNYdtSoUaxYsYI//vGPlVsBqQx5eXkMHDiQwYMHc9JJJ5VYpqKXhZ7w4IMs2rsHY+bl8vGPj+TVN95kzLzcUh+SSveft9/k/X9O58bjOjPp6guYOXMmZ5xRfKjgjBkz+MMf/sCUKVOoXbs2AC1btqRTp060bt2anJwcTjzxRObOLWgzNmvWjBACtWvX5pxzzvFiNElkD1YlW7FiBbVq1aJBgwasX7+eGTNmMHz48CJl9thjD1544QWGDBnC+++/z4YNG2jSpAkrVqygYcOGZGdn88knn/Dhhx/SunVr8vPzWb16NY0bNyYvL4+pU6ey+36HlBKBpB2xbt06vlu3ltq71OP79ev48I2XOOqC3xQpk7vkExq12psQAnPnzuX777+nUaNGbNy4kdWrV9OoUSMWLFjAggULOOaYYwC47777ePbZZ3nhhReKnHAspVKMkfPOO4+2bdty+eWXl1ouJyvw6vJv2aluIH+rhGjV5yvJ3bCxSKLUvHlzPp3zL1p3PZSP33qFRq1aV1odpOqu7y+vpe8vrwXgk9mv8fnT9xZeJGmzefPmceGFFzJ9+nSaNm1aOL1bt26sWrWKFStW0KRJE2bOnFl4gbTly5fTrFkzYow89dRTxa4Gqu1nglXJli9fztlnn83GjRvZtGkTp5xyCv3792fEiBF07dqV448/nltuuYULLriAW2+9lRAC48ePJ4TAyy+/zIgRI8jJySE7O5uxY8fSsGFD1q1bR58+fcjLy2Pjxo0cffTR7DbgzKquqlQtffHFF4w993gANm3Mp2Pfk9jv0F68+cR4AA4eNIR3Z05l7tTHyM7J4amGu/Loo48SQiAvL69w6F/9+vWZOHFi4RDBoUOHsueee3JI9+4E4KSTTnJohlLutddeY8KECYW3IQC44YYbWLJkCVCwnf73v/+la9eu5K5eQwhZvPbwX7jsidfYud6uTLr653w65zXWrV7J6L7tOXroMLqdeAb33nsvp15wCZs2biSndm1O+j97aaVk27IteeWVV7J27VpOPvlkoODH+ylTppCdnc3NN99Mr169iDHSpUsXLrjgAqDgdiErVqwgxkjHjh0ZO3ZsVVanWjHBqmT7tzuQefOKDyf63e9+978y++/Pa6/9b0zt5qEYAwcOZODAgcWW3WWXXZgzZ06RaQ6xkCpH69atufTRl4pNP3jQkMLnRwz5FUcM+RVQcAPIMfNyeTWxT5710MuF5aZHmJ6Y/vtZ/y0sL1WVww47bJsXSdp9991ZtmxZiceZ00eXfNGXww47jF8+/EJSYpT0P627Hso9F5wAFG1LlnWOY+/evVmwYEGx6TNnzkx+gAJMsCpdRe/ODTa4JEnll78pkpMVtl1wB5eRlB4quv+6v6eeCVYFpWIjdUeQJJXX9vyQd0WHRpUUjaTKVtF93h/uU88Eq4JSsVG740gqjb9cKhk8zkhS5QkVuEGtd7JNqOhBaXuGCFb0f4RgA0qqLKPnrih32Yruv1d0aFThBCiDGsbp9sVUbY9jqTjO7Ej5qzs3qVB8korbfCzanv2xIvwhr4jtqpg9WJJUhexJkCRVpoomQBU9Lm3PkONqnpRVvwTLrFuSlMk8LklKpsr+Ic8LuhWX8gSrogeOvE2RWmmWdUtSpvAKc8mXbsex6t5QkVT9VPcOkZQnWNtz4EinrDtdD2SVeY6I5S1v+cy9z5y/LCZfuh3HMsG2jlHpth9b3vLpXL46qOwOkapOyMp9kYtRo0ZNB6rft35RzYHPqzqINOM6Kc51UpzrpDjXCeRed911fas6iM3S+DiWydtKJscOxl/VjL9qGf+2bd9xLMboI/EYOXJkrOoY0u3hOnGduE5cJz4q95HJ20omx278Vf8wfuOvrvFnVUKmJ0mSJEk1kglWUaOqOoA05DopznVSnOukONeJyiuTt5VMjh2Mv6oZf9Uy/kpSkRsNS5IkSZLKYA+WJEmSJCWJCZYkSZIkJUmNS7BCCDuHEN4KIbwdQng3hFBs/GYIYUgIYUUIYX7icX5VxJpqIYTsEMK8EMLUEubVDiE8GkL4KITwZghhr9RHmHrbWCc1bjsJISwOIbyTqO/sEuaHEMLtie1kQQihc1XEmUrlWCc9QwhrtthORlRFnKpaIYRxIYQvQwgLS5mftttJCKFVCOHFEML7iePmpSWUSdt9v5zxp/P6L0+7JW2P0dWl3ZXpbaRMbs9kYtsj5TcaTgPfAUfFGNeGEGoBr4YQ/hFjfGOrco/GGH9RBfFVpUuB94H6Jcw7D1gVY/xxCOE04Ebg1FQGV0XKWidQM7eTI2OMpd0d8Fhgn8TjYODuxN/qrqx1AvBKjLF/yqJROhoP/Bl4sIwy6bqd5AO/iTHODSHsCswJITwfY3xvizLpvO+XJ35I3/VfnnZLOh+jq0u7K9PbSJnensmotkeN68GKBdYmXtZKPGr8lT5CCC2B44D7SilyAvBA4vkTQK8QQtXdIjsFyrFOVNwJwIOJ/ewNoEEIoVlVByVVtRjjy8DKqo5je8QYl8cY5yaef0NBI63FVsXSdt8vZ/xpq5ztlrQ9RleHdlemt5FqQHsm7b5/alyCBYXdpPOBL4HnY4xvllBsYKKb8YkQQqsUh1gVbgOGAZtKmd8CWAoQY8wH1gCNUhNaldnWOoGat51E4LkQwpwQws9LmF+4nSQsI4MaMttpW+sEoHtieMw/QggHpDI4ZZS0304SQ586AVsfNzNi3y8jfkjj9V+OdktaH6OrQbsr09tImd6eybi2R41MsGKMG2OMHYGWwEEhhHZbFfk7sFeMsT0wg//9KlEthRD6A1/GGOeUVayEaRn1C1RFlHOd1KjtJOHQGGNnCrrjLwkh9Nhqfo3aThK2tU7mAnvGGDsAdwBPpTpAZYS0305CCPWAJ4Ffxxi/3np2CYuk1b6/jfjTev2Xo92S1us/k9tdmd5GqibtmYxre9TIBGuzGONq4CWg71bTv4oxfpd4eS/QJcWhpdqhwPEhhMXAI8BRIYSJW5VZBrQCCCHkAD8gQ4e7lNM210kN3E6IMX6e+PslMBk4aKsihdtJQkvg89REVzW2tU5ijF9vHh4TY5wG1AohNE55oEpr6b6dJM6deRJ4KMb4txKKpPW+v6340339b1Zau4UMOUZnaLsr09tIGd+eycS2R41LsEIITUIIDRLP6wBHAx9sVWbLcZvHUzBeu9qKMV4dY2wZY9wLOA2YGWM8Y6tiU4CzE88HJcqkxa8zlaE866SmbSchhF0SJ4gTQtgFOAbY+opoU4CzElf0OQRYE2NcnuJQU6Y86ySEsPvmsfghhIMo+N79KtWxKr2l83aSiOt+4P0Y4x9LKZa2+3554k/z9b/NdgtpfIzO9HZXpreRMr09k6ltj5p4FcFmwAMhhGwKvkAfizFODSH8DpgdY5wC/CqEcDwFVx5aCQypsmir0Fbr5H5gQgjhIwrWyWlVGlwVqeHbyW7A5EQbJAd4OMY4PYQwFCDGOBaYBvQDPgK+Bc6polhTpTzrZBBwUQghH1gPnJYuB16lTghhEtATaBxCWAZcR8HJ/pmwnRwKnAm8kziPBuC3wB6QEft+eeJP5/VfnnZLOh+jq2W7K4PWf4kyaP1nZNsjpM/3hyRJkiRltho3RFCSJEmSKosJliRJkiQliQmWJEmSJCWJCZYkSZIkJYkJliRJkiQliQmWJEmSJCWJCZYkSZIkJYkJliRJkiQliQmWJEmSJCWJCZYkSZIkJYkJliRJkiQliQmWJEmSJCWJCZYkSZIkJYkJlmq8EMJeIYSFFSg/JITQfAf/5xUhhBhCaLwj7yNJkqT0YoIlVdwQYLsTrBBCK6A3sCRZAUmSJCk9mGBJBXJCCA+EEBaEEJ4IIdQNIXQJIfwzhDAnhPBsCKFZCGEQ0BV4KIQwP4RQJ4QwIoQwK4SwMIRwTwghbON/3QoMA2Kl10qSJEkpZYIlFdgPuCfG2B74GrgEuAMYFGPsAowD/hBjfAKYDQyOMXaMMa4H/hxj7BZjbAfUAfqX9k9CCMcDn8UY367k+kiSJKkK5FR1AFKaWBpjfC3xfCLwW6Ad8HyiQyobWF7KskeGEIYBdYGGwLvA37cuFEKoC1wDHJPc0CVJkpQuTLCkAlsP1/sGeDfG2L2shUIIOwN3AV1jjEtDCCOBnUsp/iNgb+DtRNLWEpgbQjgoxvjfHQlekiRJ6cEhglKBPUIIm5Op04E3gCabp4UQaoUQDkjM/wbYNfF8czKVG0KoBwwq7R/EGN+JMTaNMe4VY9wLWAZ0NrmSJEmqPkywpALvA2eHEBZQMMzvDgqSpRtDCG8D84GfJMqOB8aGEOYD3wH3Au8ATwGzUhy3JEmS0kiI0QuZSZIkSVIy2IMlSZIkSUniRS6kShBCuBM4dKvJf4ox/rUq4pEkSVJqOERQkiRJkpKkIj1YZmKSpIoIVR2AJEmp5jlYkiRJkpQkJliSJEmSlCQmWJIkSZKUJCZYkiRJkpQkJliSJEmSlCQmWNIOyt9UsQtsVrS8JEmSMkdF7oNlq1AqxZh5ueUue1WnxpUYiZRWvEy7JKnGsQdLkiRJkpLEBEuSJEmSksQES5IkSZKSxARLkiRJkpLEBEuSJEmSksQES5IkSZKSxARLkiRJkpLEBEuSJEmSksQES5IkSZKSxARLkiRJkpLEBEuSJEmSksQES0qx/E2xUstLkiSp6oQYy914s5UnlaJjv0F89t58snNq0fKATgy45haya9Xik9mv8eDlZ9Kw+R4AHHBUf56/ewxj5uWW+D5TbryKOVMmMeq1/xRO2/PfL3D970YRQqBDhw48/PDDhfO+/vpr2rZty4ABA/jzn/8MFCRkOVmhEmsrlZsboiSpxsmp6gCk6qDjsQM59fd3A/DIby9k1lMTOeTkcwDYq+MhDLn94bIWB2DZe/NZ/83XRablLvmYR28cw8l3T6FO/QasXbmiSHL295t+S5P2hzBnxfrC6Vd1apysakmSJKmCHCKojLB48WLatGnD+eefT7t27Rg8eDAzZszg0EMPZZ999uGtt95i3bp1nHvuuXTr1o1OnTrx9NNPA/DRJ59y+OGH07lzZzp37sy//vUvAF566SV69uzJoEGDaNOmDYMHDybGSN52DMlrc1hvQgiEEGh1QGfWfPF5hZbftHEj/7htJMdeOqLI9Fl/m8gll1xCnfoNAKjXsEnhvM/ee5u1X61gn0N6VjheSZIkVQ57sJQxPvroIx5//HHuueceunXrxsMPP8yrr77KlClTuOGGG9h///056qijGDduHKtXr+aggw7i6KOPpvnuu3HMTZOoVXtncpd8zCnnX8gvHprBJx+u4Y05c7ns8Vfp3GR3xp5zHBf99RnGntufwwYP5ZPZrxaLoX2fAfQ859Ii07bsMdqYl8e8aY/R/4o/FE5b8s5s/nRqT+o32Y1+l42CTocVe9/XH72Ptj36Ur/J7kWm5y75mEWL6vDYn/uxaeMmel14Jfsd2otNmzbxzK0jOOX6u/j4rZd3dNVKkiQpSUywlDH23ntvDjzwQAAOOOAAevXqRQiBAw88kMWLF7Ns2TKmTJnCzTffDMCGDRtYsmQJzZs352/XX87yRQvJysoid8knhe/Z6oDO/GC35gA0368dqz5fCkD/K36/XTE+PWYYe3Xqzt6duxe8Z5v2DH9mLrXr1uODV59nwuVnceugT4os8/WK//LOjClccM/Txd5vY34+H374IRfc8zRrvvycv5z3U379+CvMe+Zx9jv0aBrs3mK74pQkSVLlMMFSxqhdu3bh86ysrMLXWVlZ5Ofnk52dzZNPPsl+++1XZLmRI0eya6MmnPzIS8RNmxjRvWXhvOxaOxU+D1lZbNqYD8DUm/+vzB6scRefzNqVK2ixf0eumjwRgBl/uYl1q75i8M23FJbfud6uhc/bHNabp0cPJze36AUuPv9gAV8t/ZSbTzgIgLwN67np+G5cOWUWP9itOSf078l/a9WiYYs9abLnj8ld8glL3pnN4nlv8Mbjf+X79evYmPc9tevuQt9fFR1iKEmSpNQywVK10adPH+644w7uuOMOQgjMmzePTp06sWbNGnZtvBtZWVnM/vsjbNq4cZvvta0erHPverzI61mTJ/Dh6y9y/tgnycr636mN3+R+Qb1GTQkhsHThXGLcRKNGjWDpV4Vl2hx+DNc8/17h6+sO3ZMrp8wCYP+ex/Lii9No26E/61Z9Re6Sj2nYYk9O+8PYwvJzpkxi2XvzTa4kSZLSgAmWqo1rr72WX//617Rv354YI3vttRdTp07l4osvpke/E3nn+Sm07nYoO9Wpm/T//dQNV9KgWSvuHnIsUHA59l4/v4J3ZvydN58YT1Z2DrVq78zpo+8hhIIrV//1l6cxcMRtxc672tK+PzmKFZ+8ya0DDyVkZ3Psr0eyS4OGSY9fkiRJyeF9sFQjlHbfqZJc1alxxpeX0oT3wZIk1Thepl0ZJ387LqMuSZIkpYJDBJVxcrKCPTplyN8Uyckqf8dBRctLkiSpdCZYUjVjAipJklR1HCIoSZIkSUligiVJkiRJSWKCJUmSJElJYoIlSZIkSUligiVJkiRJSWKCJUmSJElJYoIlSZIkSUligiVJkiRJSWKCJUmSJElJYoIlSZIkSUligiVJkiRJSWKCJUmSJElJYoIlSZIkSUligiVJkiRJSWKCpSqXvylWdQiSJElSUuRUdQBSTlZgzLzccpe/qlPjSoxGkiRJ2n72YEk1XEV7EO1xlCRJKp09WFINZw+iJElS8tiDJUmSJElJYoIlSZIkSUligiVJkiRJSWKCJUmSJElJYoIlSZIkSUligiVJkiRJSWKCJUmSJElJYoIlSZIkSUligiVJkiRJSWKCJUmSJElJYoIlSZIkSUligiVJkiRJSWKCJUmSJElJYoKlpMvfFKs6BEmSJKlK5FR1AKp+crICY+bllrv8VZ0aV2I0kiRJUurYgyVJkiRJSWKCJUmSJElJYoIlqUIqeo6d5+RJkqSaxHOwJFWI59hJkiSVzh4sSZIkSUoSEyxJkiRJShITLEmSJElKEhMsSZIkSUoSEyxJkiRJShITLEmSJElKEhMsSZIkSUoSEyxtkzeKlSRJksrHGw1rm7yxrCRJklQ+9mBJkiRJUpKYYEmSJElSkphgSZIkSVKSmGBJkiRJUpKYYEmSJElSkphgSZIkSVKSmGBJkiRJUpKYYEmSJElSkphgSZIkSVKSmGBJqlT5m2KllpckSUonOVUdgKTqLScrMGZebrnLX9WpcSVGI0mSVLnswZIkSZKkJDHBkiRJkqQkMcGSlFY8Z0uSJGUyz8GSlFY8Z0uSJGUye7AkSZIkKUlMsKoBh1RJkiRJ6cEhgtVARYdUXdGhUSVGI0mSJNVcJlg1kOe4SJIkSZXDIYKSMppDZCVJUjqxB0tSRrNHVpIkpRN7sCRJkiQpSUyw0pBDmCRJkqTM5BDBNOSQp9R47eG/MGvyRGKMdBtwBocNHgrAyJEjufWuv7DLDwuutnjML66hzWG9WTz/TZ6+YRjZO+3EaTf8hcZ7tGb9N2vo02cwPUdPJIRQ7H/cc8EJ9LtsFC337wjAqs+X0O7Mnpwx4SU+mf0aD15+Jg1b7En+d9/Rvs8Ajr7wyiLT8zasZ9oezdl74FDa9jgmdStHkiRJ28UESzXSfz96n1mTJ3Lxg8+SXWsn/vqLU2lzeG8a7/EjAA4dPJQeZ11SZJlXJ9zN4JvHserzpbz5xHiOu/x3zLz3Fn7/29/yegnJVXns1fEQhtz+MN+vX8ftpx1J28OPKTIdoG9YxpH9jqdW7Z358cE9dqDWkiRJqmwOEVSNtOLTRbQ6sAs71alLdk4Oe3f5Ce/OnFbmMlk5OeRt2EDehvVk5+Tw1dJP+frL5RxxxBE7HM9OdXahRdsOfLXs02LzOnbsSK8LfsPrj92/w/9HkiRJlcseLNVIu/2oLc/eeQPrVq+kVu2d+ferM2i5f4fC+a8/ej/zpj5Gi/07cNzlv6NO/Qb0PPdSJv/+N9TaeWdOuf4upt16Hb0vvmqb/+vRa4ZSq/bOAGzMy6NJ3VrFyqxbvZIl78zhqAt+w7pVXxWb37xte15+8M4dqLEkSZJSwQRLNVLT1vtyxJBfMu7iQexUZxea7XsAWdkFu8NFF13ETv0vghB4/q7RPPPHEQwaeTvN9zuQix+cDsCnc/7Frk12J0Y49dRTWfTNJvpdPopdGzUt9r9O/cPYIudgPTP8rMJ5i+e/we2nH0kIWfQ851fs9qM2fDL7teIBRy98IkmSlAkcIqgaq9uJZ/DLh2dy4f1/p279BjTaozUAu+22G1nZ2WRlZXHQSWey7N15RZaLMTLz/lvpdcFveOGemxg1ahQd+w3iX5PurXAMe3U8hF9NepFfPvwCBw8aUmq5zz94h6Z771vh91dx3phYkiRVJnuwVGOtXbmCeg2bsHr5Mt598RkuGv8PAJYvXw4UDON7d+Y0dvtRmyLLzf37I7Q57Gjq1G9A3ob1ZGVlEbKyyNuwvlLiXLBgATPv+yMnXXtrpbx/TeNVOiVJUmUywVKN9dAV5/DtmlVk5dTi+OE3Uqd+AwCGDRvG82/MIRD4YfNWnHjNzYXLfL/+W+ZOfZRz73wcgMMGD2XgwIGszM/itNH3JC22zUMH8zas55lWzfjplTd4BUFJkqQMYIKlGuvCcVNLnD5hwoRSezh2qlOXC+55qvD13p2785d33im1/M/vfbrI6x8234OFCxcyZl4urbseSuuuhxZbpnXXQxn58ieFr6/q1LhCPS6SJEmqOp6DJUmSJElJYoIlSZIkSUligiVJkiRJSWKCJUmSJElJYoIlSZIkSUligiVJkiRJSWKCJUmSJElJYoIlSWXI3xQrtbwkSapeakSC9fTTT9O+fXs6duxI165defXVVwvnPfDAA+yzzz7ss88+PPDAAyUu//bbb9O9e3cOPPBAfvrTn/L1118D8NZbb9GxY0c6duxIhw4dmDx5cuEy5557Lk2bNqVdu3aVWzlJlSonKzBmXm6pj8v/9jp7tO9Gzk616XfZKHKyQuGyf/rTn2jXrh0HHHAAt912W5n/Z9asWWRnZ/PEE08UTuvbty8NGjSgf//+RcrOnDmTzp07065dO84++2zy8/OTW2lJkrTdakSC1atXL95++23mz5/PuHHjOP/88wFYuXIlo0aN4s033+Stt95i1KhRrFq1qtjy559/PmPGjOGdd95hwIAB3HTTTQC0a9eO2bNnM3/+fKZPn86FF15Y2NAZMmQI06dPT10lJVWJuj9owE+H3cDhZ15cZPrChQu59957eeutt3j77beZOnUqH374YYnvsXHjRoYPH06fPn2KTL/yyiuZMGFCkWmbNm3i7LPP5pFHHmHhwoXsueeepf44JEmSUi+nqgNIhXr16hU+X7duHSEU/ML87LPP0rt3bxo2bAhA7969mT59OqeffnqR5f/973/To0ePwjJ9+vTh+uuvp27duoVlNmzYUPi+AD169GDx4sUAjJmXW6F4r+rUuELlJVWdeg2bUK9hE/79yvNFpr///vsccsghhd8TRxxxBJMnT2bYsGHF3uOOO+5g4MCBzJo1q8j0Xr168dJLLxWZ9tVXX1G7dm323XdfoOA7afTo0Zx33nlJrJUkSdpeNaIHC2Dy5Mm0adOG4447jnHjxgHw2Wef0apVq8IyLVu25LPPPiu2bLt27ZgyZQoAjz/+OEuXLi2c9+abb3LAAQdw4IEHMnbsWHJyakTOKmkb2rVrx8svv8xXX33Ft99+y7Rp04p8d2z22WefMXnyZIYOHVqu923cuDF5eXnMnj0bgCeeeKLE95UkSVWjxiRYAwYM4IMPPuCpp57i2muvBSDG4iejb9kLtdm4ceO488476dKlC2u+/pqddtqpcN7BBx/Mu+++y6xZsxg9ejQbNmyovEpISnubL3LRUxR1iQAACltJREFUtm1bhg8fTu/evenbty8dOnQo8QeYSy/9NTfeeCPZ2dnlev8QAo888giXXXYZBx10ELvuuqs/7EiSlEaq7VH5zjvv5N577wVg2rRpNG/eHCgYuvfxxx+Tm5tLy5Ytiwy/WbZsGT179iz2Xm3atOG5554DYNGiRYx7YkoJw/6a8FXciSuefJWW+3cEYNXnK5NeL0lV7/VH72fW5IJzo4bc8Qj1m+xeOG/zRTEA6HwCp9x/AgDP3vF76v+wWbHvjjlzZnPaaacBkJuby7Rp08jJyeHEE08s9f93796dV155BYDnnnuORYsWJa1ukiRpx1TbHqxLLrmE+fPnM3/+fL799tvC3qq5c+fy/fff06hRI/r06cNzzz3HqlWrWLVqFc8991yxk8wBvvzyS6Dg5PLf//73HDzwbABWfvYfNiYuarHq86WsWPwRP2zWqtjykqqX7qeex68eeYlfPfJSkeRqa2tXrgBg9fJlvPviM3Tse1KxMp9++imLFy9m8eLFDBo0iLvuuqvM5Ar+95303XffceONN5Z7eKEkSap81bYHa0tPPvkkDz74ILVq1aJOnTo8+uijhBBo2LAh1157Ld26dQNgxIgRhRe8OP/88xk6dChdu3Zl0qRJ3HnnnQCcdNJJ/OCEnwGweN6b/HP87WTn5BCysjjh6v/HLj9sBMCkq3/Op3NeY/3qlYzu256jhw6j24lnVEHtJVWmb3K/4M9n9Oa7dd8QQhYtH7+X8ye9ws71duWhK87h2zWryMqpxfHDb6RO/QYAvPnEeAAOHjSkzPc+/PDD+eCDD1i7di0tW7bk/vvvp0+fPtx0001MnTqVTZs2cdFFF3HUUUdVci0lSVJ5VbsEK39TLHIfGoDhw4czfPjwEsufNeQczj333GLT77vvvsLnl156KZdeemnh681DfDr3P4XO/U8p8X1PH30PUHBFwIpeRVBS5ti18W5cPX1B4est9/kLx00tcZnSEqvx48cXeb15GODWbrrppsLbRUiSpPRS7RKsIuc/lIOXRJckSZKULNX2HKzy2nzFL0mSJEnaUWnfg1XSkL9kssdLUlWq6HdcZX8nSpKkHRNKuhdUKaqsq6eiCVA6lr+6c5NyLyMpM4yeu6LYtMr+TrmiQ6MKJVh5myK1KpiQJTGJMxOUJNU4ad+DJUn6n+3pda/ohXbsqZckaful/Bwsz3mSJEmSVF2lvAfLc54kSZIkVVcOEUyRks7VKE26nkdmectbXpIkqWzlvsjFqFGjpgOZ3p3UHPi8qoNIsupWp+pWH6h+dbI+6S9d6pR73XXX9a3qICRJSqkYY415jBw5MlZ1DNapZtWnOtbJ+qT/ozrWyYcPHz58+MiUR42/0bAkSZIkJUtNS7BGVXUAlaC61am61QeqX52sT/qrjnWSJCkjVORGw5IkSZKkMtS0HixJkiRJqjQmWJIkSZKUJNUuwQohXB9CWBBCmB9CeC6E0DwxfXBi+oIQwr9CCB1KWX58COHTxPLzQwgdU1uDEmMqrU4hhHB7COGjxPzOpSzfJYTwTqLc7SGEkNoaFIvnphDCB4mYJ4cQGiSmD95ivc8PIWwqaf2HEEaGED7boly/1NeiSDyl1WevEML6LeIcW8ryDUMIz4cQPkz8/WFqa1BiTKXVqXcIYU5ie5oTQjiqlOUz4jNKzLs6sW/8O4TQp5Tl9w4hvJn4jB4NIeyUuuhLFkI4OYTwbmI/6brF9IzcjyRJqi6q3TlYIYT6McavE89/BewfYxwaQvgJ8H6McVUI4VhgZIzx4BKWHw9MjTE+kdLAy1BGnfoBvwT6AQcDfyqlTm8BlwJvANOA22OM/0hZBYrHcwwwM8aYH0K4ESDGOHyrMgcCT8cYW5ew/EhgbYzx5lTEuy2l1SeEsBcF21K7bSz//4CVMcYxIYSrgB9uvT5SrYw6dQK+iDF+HkJoBzwbY2xRwvIjyYzPaH9gEnAQBfeOmgHsG2PcuNXyjwF/izE+kkiU344x3p3aWhQVQmgLbAL+AlwRY5xdQpmM2Y8kSaouql0P1uZEJGEXICam/yvGuCox/Q2gZapj216l1Qk4AXgwFngDaBBCaLblsonX9WOMr8eCbPpB4MRUxF2aGONzMcb8xMvSPovTKWj4pr1y1qcsJwAPJJ4/QBV/PlB6nWKM82KMm29g+y6wcwihdlXEWBFlfEYnAI/EGL+LMX4KfERBslUo0eN7FLD5R5d0+YzejzH+exvFMmY/kiSpuqh2CRZACOEPIYSlwGBgRAlFzgPK6sH5Q2Io0a3p0ngspU4tgKVbFFuWmLalFonpZZWpSudS8mdxKmU3DH+R+IzGpcOQui1sXZ+9QwjzQgj/DCEcXsoyu8UYlwMk/jat7CArqLTPaCAwL8b4XSnLZcJnVJ59qBGweosELd32obJk6n4kSVLGysgEK4QwI4SwsITHCQAxxmtijK2Ah4BfbLXskRQkWKUNwboaaAN0AxqWUS6ptrNOJZ1LtfWYz/KUSbpt1SdR5hogn4I6bbnswcC3McaFpbz93cCPgI7AcuCWyqlFkZi2pz7LgT1ijJ2Ay4GHQwj1KzvW8trBz+gA4EbgwlLePlM+o7Tdh6B8dSpj2bTbjyRJqglyqjqA7RFjPLqcRR8GngGuAwghtAfuA46NMX5VynsvTzz9LoTwV+CKHQy3XLazTsuAVlvMawl8vlX5ZRQdslZSmaTbVn1CCGcD/YFesfiJgKdRxq/uMcYvtnife4GpOxBquWxPfRI9O98lns8JIXwM7Atsfa7MFyGEZjHG5YkhnV8mvQIl2N7PKITQEpgMnBVj/LiU986Iz4jy7UO5FAy/zUn0YqVkH4IKfS+UJO32I0mSaoKM7MEqSwhhny1eHg98kJi+B/A34MwY46Iylm+W+BsoOM+itF9/U6a0OgFTgLNCgUOANVskiEBhwvhNCOGQRJ3OAp5ORdylCSH0paBn8PgY47dbzcsCTgYeKWP5Lc8zG0AVf0al1SeE0CSEkJ143hrYB/ikhLeYApydeH42Vfz5QJl1akBBgn91jPG1MpbPiM+IgnV/Wgihdghhbwo+o7e2XDaRjL0IDEpMSovPqCyZuB9JklRdVMerCD4J7EfB1bX+AwyNMX4WQriPgnNG/pMomh9j7JpYZhpwfuLKaDOBJhQMC5qfWH5tquuxpTLqFIA/A32Bb4FzNl9JLIQwP8bYMfG8KzAeqEPBuSe/LKHXKGVCCB8BtYHNvYhvxBiHJub1BMbEGA/Zapn7gLExxtkhhAkUDGuKwGLgwq0Ty1QqrT4hhIHA7ygYkrYRuC7G+PfEMlvWpxHwGLAHsAQ4Oca4MtX12FIZdfo/CobRfrhF8WNijF9m4meUmHcNBedl5QO/3nyFza2+F1pTkKw0BOYBZ5Rx7llKhBAGAHdQ8H21GpgfY+yTmNeTDNuPJEmqLqpdgiVJkiRJVaXaDRGUJEmSpKpigiVJkiRJSWKCJUmSJElJYoIlSZIkSUligiVJkiRJSWKCJUmSJElJYoIlSZIkSUligiVJkiRJSfL/AXoUsVzdgdprAAAAAElFTkSuQmCC\n", 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" ] @@ -788,27 +802,36 @@ } ], "source": [ + "# intercept, 'age', 'educ', 'hours', 'age_squared'\n", "pm.plot_posterior(trace)" ] }, { "cell_type": "code", - "execution_count": 247, + "execution_count": 23, "metadata": {}, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/miniconda3/lib/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", + " return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n" + ] + }, { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 247, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -838,7 +861,7 @@ }, { "cell_type": "code", - "execution_count": 246, + "execution_count": 24, "metadata": {}, "outputs": [ { @@ -847,13 +870,13 @@ "Text(336.9714285714286, 0.5, 'beta_hours')" ] }, - "execution_count": 246, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -883,14 +906,16 @@ }, { "cell_type": "code", - "execution_count": 248, + "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 1000/1000 [00:00<00:00, 1209.03it/s]\n" + "/opt/miniconda3/lib/python3.7/site-packages/ipykernel_launcher.py:2: DeprecationWarning: sample_ppc() is deprecated. Please use sample_posterior_predictive()\n", + " \n", + "100%|██████████| 1000/1000 [00:00<00:00, 1446.93it/s]\n" ] }, { @@ -899,7 +924,7 @@ "(1000, 2000)" ] }, - "execution_count": 248, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" } @@ -912,7 +937,7 @@ }, { "cell_type": "code", - "execution_count": 249, + "execution_count": 26, "metadata": {}, "outputs": [ { @@ -921,13 +946,13 @@ "Text(0.251, 3, 'Average P(>50K)')" ] }, - "execution_count": 249, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -947,22 +972,22 @@ }, { "cell_type": "code", - "execution_count": 250, + "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([[1. , 0.04109589, 0.26666667, 0.39795918, 0.01421073],\n", - " [1. , 0.04109589, 0.26666667, 0.12244898, 0.01421073],\n", - " [1. , 0.04109589, 0.26666667, 0.39795918, 0.01421073],\n", + "array([[1. , 0.04109589, 0.8 , 0.39795918, 0.01421073],\n", + " [1. , 0.04109589, 0.8 , 0.12244898, 0.01421073],\n", + " [1. , 0.04109589, 0.53333333, 0.39795918, 0.01421073],\n", " ...,\n", - " [1. , 0.04109589, 0.26666667, 0.29591837, 0.01421073],\n", - " [1. , 0.04109589, 0.26666667, 0.39795918, 0.01421073],\n", - " [1. , 0.04109589, 0.26666667, 0.47959184, 0.01421073]])" + " [1. , 0.04109589, 0.13333333, 0.29591837, 0.01421073],\n", + " [1. , 0.04109589, 0.53333333, 0.39795918, 0.01421073],\n", + " [1. , 0.04109589, 0.6 , 0.47959184, 0.01421073]])" ] }, - "execution_count": 250, + "execution_count": 27, "metadata": {}, "output_type": "execute_result" } @@ -978,7 +1003,7 @@ " feat[:, col_idx] = new_value\n", " if col_idx == 0: # age is also squared\n", " feat[:, -1] = new_value**2\n", - " feat[:, 1] = 5\n", + "# feat[:, 1] = 5\n", " feat = scaler.transform(feat)\n", " feat = np.hstack((np.ones(feat.shape[0])[:, None], feat))\n", " shared_x.set_value(feat)\n", @@ -989,7 +1014,7 @@ }, { "cell_type": "code", - "execution_count": 257, + "execution_count": 37, "metadata": {}, "outputs": [], "source": [ @@ -998,29 +1023,29 @@ "with model:\n", " for a in age:\n", " prepare_shared_x(0, a)\n", - " ppc = pm.sample_ppc(trace, samples=100, progressbar=False)['observed']\n", + " ppc = pm.sample_posterior_predictive(trace, samples=100, progressbar=False)['observed']\n", " quants.append(np.quantile(ppc.mean(1), [0.05, 0.5, 0.95]))\n", "quants = np.stack(quants)" ] }, { "cell_type": "code", - "execution_count": 258, + "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 258, + "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1040,7 +1065,7 @@ }, { "cell_type": "code", - "execution_count": 260, + "execution_count": 30, "metadata": {}, "outputs": [ { @@ -1064,7 +1089,7 @@ " '12th': 8}" ] }, - "execution_count": 260, + "execution_count": 30, "metadata": {}, "output_type": "execute_result" } @@ -1087,22 +1112,22 @@ }, { "cell_type": "code", - "execution_count": 253, + "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 253, + "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -1115,11 +1140,11 @@ ], "source": [ "quants = []\n", - "age = np.arange(1, 80, step=5)\n", + "hours = np.arange(1, 80, step=5)\n", "with model:\n", - " for a in age:\n", + " for a in hours:\n", " prepare_shared_x(2, a)\n", - " ppc = pm.sample_ppc(trace, samples=100, progressbar=False)['observed']\n", + " ppc = pm.sample_posterior_predictive(trace, samples=100, progressbar=False)['observed']\n", " quants.append(np.quantile(ppc.mean(1), [0.05, 0.5, 0.95]))\n", "quants = np.stack(quants)\n", "plt.plot(age, quants[:, 1])\n", @@ -1130,22 +1155,22 @@ }, { "cell_type": "code", - "execution_count": 262, + "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 262, + "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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Br9fzL//yL9P821CJlgHPgNJPwB1dPwEpJZ+0f8I56zmWpi/l9gW3oxVTfHuXARi0QH+b8nCf/ObgdSlfQ7Zrx4VQvAp90JswJAa/NyvnIiCEYFHaIgqTCjnaoeyjNPQ1sHPBTgqTCqf2mYAeV48SSlr84JwMo8114iqdHQ/ms3T2XEL9ncYfm9PGmw1v4vBG8UAG/NLPoZZDXOm9QnlWObcW3Dq1AjG/FwY6YaAdfJ7Y50eL0ARDUIlgTIHkvAmNROtAK4dbD9Pv6WdFxgq2Fmy9rod6bkIun170aQxaw5SvMZ+IVjpbDR+pqMwCHYMdvF73etQGwRfwsb9xP1d6r1CRVzE1g+B1gq1eCQH1NsbXIIDiiXgcSpjJVgcdZyf0SIqSi3hs2WOszV7L5Z7LvHL5FRrsDVO+fddQF281vIXXf32FfzcbqlFQUZlhWvpb2Fu/F48/uoey2+/mzYY3aepvYnvhdjbmbozNILj6ofsStFVBfzsEZqlFp3tA2Zvoa1ZCUWHQa/RsK9jGI0sewawzs79xP+80vhO18RxLh6ODt6++fd17FTcTqlFQUZlBhrxDvNv8btS9k4e8Q7xR9wZdQ13cXXw3q7NWR3cjKcFhVd7OO84q38+FULEMQG8TdJwBd2RpluyEbB5Z+ghb8rbQ3N/MKzWvTLnorW2wjXca38E/W8bwBkM1CioqM8j7Le/j8rmiGtvv7uf1utexe+zct/A+FqcvnnxSwK94A20nFe/ANTVV1bhLZLsHFWPV2xQxe0krtGzI3cBjyx4jy5TFodZD7G2YWvVyc38zB5oOTEky5GZDzT5SUZkhzlvOR512OrwJ7Zd+Pl326cl7CPjcijEY7AT/5KESIQSJQk+KxkCqxjDqvykaA3qhYVD6GAh4gl9eBgIe+oPfO6T3+qUqZEAJJQ3ZIGsJGJPDDkszprFn0R4u9VziaPvRKRe9XbVf5d2md7m75O7rLpabz8TVKAghdgM/BrTAz6WU4yrLhBCPAd8BJHBWSvlUPNekojIb9Lp6OdpxNKqxnY5O3rr6Fnqh56HFD5Fhyph4gr1N2Tge8xasFZqRh3zoAz9VYyBZY0A3yYMxVShjwxGQkgHpZTCMwRgIeBiMxWh4HIrXkFoEqcWgGb8uIQQrM1eOKnqzOq3sKt4Vk1dT31ePTui4s/hOtYtbBOJmFIQQWuBF4G6gFagUQuyVUl4MGbMEeAG4VUrZK4TICX+1uY8QgmeeeYb/+I//AMDn85Gfn8+WLVt48803Y7pWX18fv/vd7/jSl74Uj6WqzDDDPZWj2exs6m/iQOMBEvWJPLDogcm1fHquYujvoFifMuat30ii0MXtwacRYlKjMSi9I16Gxe+k2mOLbCikhL6WoNewNKLXkKhPZHfpbqq6qjjReYJMUyYbcjfEtPaa3hq0Gi07i3aqhiEM8fQUKoA6KWUDgBDiFeBB4GLImL8GXpRS9gJIKbvHXeUGITExkerqapxOJ2azmXfffZfCwqkV4PT19fHTn/40JqMgpURKiSbMW5bK7FLZVYllyDLpuNreWt5vfp8Mcwb3l94/sVSDlGCrJdHRwwNJi8jUTlNje78HehoUmYvEbEjKgSloCWmEIEUoBgpgOeks0afxnrMFu98deaJnSPEaUgogbWFYrwFgQ84Gelw9HO88TqY5k5KUkpjWd9F2Ea3Qsr1I1f0aSzyfIIVAS8jPrcFjoSwFlgohPhZCHAuGm8YhhPiCEOKkEOKkxTL5P67Z4r777htRHn355Zd58sknR86dOHGCbdu2sX79erZt20ZNjSJ6duHCBSoqKli3bh1r1qyhtraWb3zjG9TX17Nu3Tq+/vWvA+FlsxsbG1mxYgVf+tKX2LBhAy0tLTz77LMj0tk/+tGPZvg3oDKWjsGOqBRPz1vPc7D5IHmJeTy46MGJDULAD92XyBiy80jS4us3CD4XdFVD9R/hk3+Gi/8JDR/A+d/D0Z/A0f+jfN9wGCyXFfmLKewn5OkSeCxpMSsNk4TDpFRCYu2nFOMUBiEEty+4nSxzFgebDtLr6o15Peet5/mk/ZOY58134ukphPPLxv4l6YAlwO1AEfChEGK1lHJUzb+U8mfAz0CpaJ7opv/7xP/mcs/liYbEzPKM5fxdxd9NOu6JJ57gu9/9Lg888ADnzp3jueee48MPP1SusXw5R44cQafTcfDgQb75zW/yxz/+kX/913/lq1/9Kk8//TQejwe/388PfvADqqurR1RXI8lmFxcXU1NTwy9/+Ut++tOfUlVVRVtbG9XV1YDicajMHh6/h/ea35swti6l5GTXSU52naQ0pZRdJbsm7nns90H3BfJ9fu5LLMM01f7IniGwXQHLFehrVPYjDMmQv1YJ3yTmgMOi6CANf4XuW2gNypjkXEjKVb5PzJ5UME8vtNyeUESJPoVDzlacE4XUvE5FBj+5ANJLxl1br9Gze+FuXqt9jT83/plHljwScwX0me4z6ISOivzxGmE3K/E0Cq3AgpCfi4D2MGOOSSm9wFUhRA2KkaiM47rixpo1a2hsbOTll1/mU5/61Khzdrudz33uc9TW1iKEwOtVqiy3bt3K9773PVpbW3n44YdZsmTJuOtGks0uLi6mpKSEW265BYCysjIaGhr48pe/zP33388999wT50+sMhEftn1IvydySqiUko/aPqLaVs3y9OXsXLBz4qwYnxu6LlAmdexKLJ10o3gc7gGw1iiGwN4CSDClQeFmyF6qPHxDY+xpxcrXMAGfUu8Qaig6zsFwq1ChgcQsSAwaiqRcJfykG/+gLtWnkKtdygfOVpq8E6TNSqloMzl7IHMxmNNGnU42JHNvyb3sq9/HwaaD3Fd6X8yZRSe7TqLVaNmYuzGmefOVeBqFSmCJEKIUaAOeAMZmFv0n8CTwkhAiCyWcNPW6dojqjT6e7Nmzh+eff55Dhw6NKKACfOtb3+KOO+7g9ddfp7Gxkdtvvx2Ap556ii1btvDWW29x77338vOf/5yysrJR14wkm93Y2DhKEjs9PZ2zZ8+yf/9+XnzxRX7/+9/zi1/8In4fViUi9X31E/ZF8Af8vN/yPnV9dazLXsct+bdMvOnpdUJnNau0iewwF0S/QersCxqCGkXrCCAhC4q3QvYy5Q0/2mtpdIp+UXJIeqyUSjgp1FD01ENXSKMrUxok50PJrYrRCJKg0XF/4kIuuG184urEO1FBn9ephLiS8yC9dJTXUJBUwG1Ft3Gk9QgnOk5wS8Et0X2eEI53HCfVkBpdLcg8J25GQUrpE0L8DbAfJSX1F1LKC0KI7wInpZR7g+fuEUJcBPzA16WUtshXnfs899xzpKamUl5ezqFDh0aO2+32kY3nUDXUhoYGysrK+MpXvkJDQwPnzp1j7dq1DAwMjIy59957+da3vsXTTz9NUlISbW1t6PX6cfe2Wq0YDAYeeeQRFi1axLPPPhuvj6kyAQ6vg8Otkftze/1e9jftp2WghVvyb2F9zvqJL+gegK4LbNZnsNmUG8UCrIohsNYoukOgvLUv3KEYgoTMGD7NJAgBCRnKV05QQFFK8Awq9x4JPV1VJLhLd0DRZsWrCLLKmEmhLomDzha6fUOR7yUl9HfAUC9kLQbztb7MqzJXYXVaOW05TaY5kyXp4z3uyTjSdoSCpIKbvhdDXOsUpJRvA2+POfbtkO8l8N+CX/OCoqIivvrVr447/rd/+7d87nOf45/+6Z+48847R46/+uqr/OY3v0Gv15OXl8e3v/1tMjIyuPXWW1m9ejX33XcfP/zhD8PKZmu1o2OsbW1tfP7znycQUOK+3//+9+P4SVXCIaXk/ebIVcvegJd9DfvoHupmZ9FOVmaunPiCzl5E92V2mvIib9BKqTx4rTXKg3dY1jqlEMruVEJDprTwc+OBEEpKqTEZMhcpxzwOqN2vbGBbr8Cy+xVDEiRNa+ThxEVUubs56e6euMbB54KuC5C9fJTncVvBbfS6evmg5QPSjGlkJ2THtGyXz8Xh1sPcV3pfTPPmG6p0tkpY1N/p1DhnOcdHbR9FPH+49TAXbRe5p+QeFqUtmvhigxZ0tjruMRexUB+hXsHjULKGBtoBoewBZC2bsEJ41pASui9C3bvK/kTpTijcNC581ekbmjx1FRRvI3fVqH2GIe8Qf6z9IxLJo0sendJb/13Fd7EsY1nM8+Y6qnS2isoM0+Pq4VjHsYjnG+wNXLRdZF32uskNQn87JlsdexIWRjYILjuc+S04umHxPbDty7D2SSjcMPcMAigP/9xVsOmvIK0E6t+Ds79V9iRCiD51NaAYGfe1UGuCPoHdC3fj9rnZ37R/SiJ4H7Z9yKAnsljffEc1Cioq04A/4OdgU+Sq5UHvIIdaDpFtzqYib5L0x95Gkntb+ExiGXm6CG+6QzbFIHgcsOZxxRDcKLFwYxKsflQJIQ1a4OQvFFnvkKjFcOrqfYkLMU+UdhvwK6Ekz7W9iOyEbO5YcAedjk4+ao/stUXC4/fwQcsHMc+bL8wbo3CjhcHmMurvMnZOdJ7A6rSGPReQAd5rfg+/9LOrZBfaSLn8UoK1lswBKw8nLSI9UlHaQCec+Y0Sgln3FKQuCD9uLiME5JXD5r9UNI/q3oVzr4BrdG1NqT6Fx5OWUBLJWwKlk1xXtZKyG2Rx+mLW56znou0i1dbqmJfXMtDCBeuFmOfNB+aFUTCZTNhsE+iqqESNlBKbzYbJNE2yCTcB7YPtnOk+E/H8WctZ2gfbua3gNtKMETZ8AwHovkShc5CHkspI1IzPLgMUVdGzL4NGD+ueUbKKphshQBvh/tONMQXKH4Ol98FAh+I1tJ8Z5TUkaPTcn7iQnebCyLUZPrdiGEK6rFXkVVCSXMLHbR/TPji2RGpyPmn/ZEoy3Tc682Kj2ev10traissVnU69ysSYTCaKiorCpr2qjMbj9/BqzasMeAbCnu8e6ub12tcpTS3l7pK7w9cX+H3QfZFFAcEucxHaSA8+W50iQWFKhfLHwTSJWF4sCKFkK2UvV7KVDMlKRlNfs/Jlb45/+06XHWrehr4mSF8ISz817jP2+d0Tp64akxUPJOiNuf1u/lT7J1w+F48ufZRkQ2x7LfmJ+Ty0+KF5IZwX7UbzvDAKKiqzxXtN71HTG75Izev38ocrf8Av/Ty29DGMYSp7h6uUy4WZ20z5kR8+3Rfh8ptKsVn5Y2CYhv0DIZTQTfYKxRBMtDkdCCi9GkaMREt8jISU0HEa6j9QsosW3wW55aMylAJSctzdxWlXBP1Mczrkrhypheh19fKn2j+RYkjhocUPoY/RC9pWsI11Oeum/JHmCtEaBbXJjorKFKnrrYtoEAA+avsIu8fOg4seDG8QvE5E1wW2aFPZYJpANb79FNQeUPYOVj8aVjYiaoQG0hYoRWxZy5RN32jQaBTl0pQCKL4lfkZCCCjYAOllUPOW4jlYamDp7hGjpRGCraY8OnwOOn1hejc7e5U52ctBCNJN6ewq2cXbV9/mg5YPIntsETjecZySlBLSTemTD54HqJ6CisoUcHgdvHL5FdwRcunr+up4t+ldNuZsDC+25h5A032JOww5LDNEeNhICc1HofGIovuz4sGpxfqFRhGUy16miN0ZEiefEyuBgLInEGokQuL7U0JKJSvp6iElHLT4bshZNeI1dPoc/GmwPvL85Hyl8jnI6e7THOs4xpa8LTH3YMhJyOHhJQ/f0B3bVE9BRSVODFctRzIIA54BDrccJichh415YUTWXHb03Ze511RIsT5CyEZKpfq39YTyIFz2qUkVSEeh0Spx+WFDoDdHP3cqaDSQWqh8lWydHiMhBBRtgoyg13D5zaDXcC8YksjTJbLIkEa9J4Ia8EAHaHXK7wFYl70Oq9PK8c7jZJgzWJiyMOqldA91c7r79E0hmqcaBRWVGDlnPUfLQEvYcwEZ4GDzQSSSu4vvRivGPMj9XszWOu43F5MTqQZBBuDKO9B5TgmlLL47OtE6jW6MIZjFDLKxRsI9AOdeVeoSYiUhA9Y9Da0n4ephqPw5LLkHsldwiymPq147gUgRj74WJVMrtXCkB0Ofu4+DTQd5ZMkjMYWEKjsrKUkpIcucNfngG5gb1xdSUZkFbE4bx9ojVy2f6j5Fp6NQKsN2AAAgAElEQVSTHUU7SDGOzw4StlruMeZFNggBH1x8QzEIxduiMwgJGbDi03DrV2DNf4H8NbNrEMJhTFZSaNOmWFMhNLCgAjY9p2wkX9oLjUdI1RgoN0wi8Nd7Vcmk4loPBp1Gx5+v/jmitxeOgAzwfvP7U6qSvpFQjYKKSpT4A/6RIrRwdDo6Odl5kiVpS1iavnT8gP4O1vo0FOoibO76PVD9miJst+hORVF0MoOQlAPrn4G81de3AT0T6E2w5glFl2mqJGTC+s9C3hplv8Vaw0ZjDsaJqp6DRYEM9QDXejAMeAd4t+ldAsONg6LA6rRysmt+72mqRkFFJUqOdx6PWLXs9rs52HyQJENS+L6/niEy+tupiCR97XXC2Vegt0nZPyiKohNYSoESVonHxnG80Opg1cNKh7epIjRK+Cg5Hy6/jcnVz0bjJIqoUoLl0kh7z/ykfLYXbqdloIXjHcdjuv2p7lN0Obqmuvo5j2oUVFSioG2wjbPdZyOe/7BVEVHbVbxrfEtIGUBjvcIuU4SKXPcgnP2dEuJY9ZDyFjwZ6QsV8bu5FiaKBo0Gln9K2WuY8jV0sPIhxUBcfJ1ybQqpk7XiDASg66KiFwWszFzJqsxVnLGc4UrvlahvLaXk/Zb3I+pc3eioRkFFZRLcfjfvNb2HHNdiXOFK7xVq+2rZlLuJvMS88QN6m9gkEsnShskAcvYpOkbOPij/L0rtwGRkLVHG6gwxfpI5RtntsCTKTfRwmFKVvRSHBW3dAbYYJqj1GCbgg85qxTMDbi24lfzEfA61HMIyFP0meK+rN2YP40ZBNQoqKpPwcdvHDHrDSyn3u/s50nqEvMS88Lnvzj7yHL1sCBfecFgUg+BzKW/9wdTJCcldpYRftPMkcbBoE6zYE1u6bSgZZVByG3RdYLGtkTxdFKE0vycooOdBq9FyT8k9mHVm3m16N+J+UTjOWc5NSVNprqMaBRWVCbA5bRF7Lfuln4PNBxEIdhXvGl/Y5Peit9Vxl7kIzdi34f52RfoalH2BlILJF1OwXnkz1syzf7a5KxXPZ6oifCW3Ksah7iA7vVF6HV5XUEDPR4I+gR1FO7B77BP21R6LRKlX8V5vkd4cI65/XUKI3UKIGiFEnRDiG2HOPyuEsAghzgS//iqe61FRiZXKrsqIYaOqriq6hrrYWbQzvNCarY6tuozxse7eRkXpVGdS0jQTo2gbWbwFlu2eeqhlrpNRGtw0n4KmkxCw/NNgSCSz5h2Wiyj3WTwO6L4AAT/FycXkJeRxsutkTHsF/Z5+jnYcjX3Nc5i4GQUhhBZ4EbgPWAk8KYQI15D2VSnluuDXz+O1HhWVWLEMWbjadzXsufbBdk51nWJZ+jIWpy8eP2CgiwUeN6uNY3LoB7vg/B+UFpLrnhnVSjIiZTuVFNX5Tkq+km5qSo19rt6shNU8DrY3VhF1MMrVD5bLCGBL/hYcXgcXbLH1UbhgvUBLf/hixhuReHoKFUCdlLJBSukBXgEejOP9VFSmlROdJ8J6CW6fm/ea3yPFkMJthbeNn+h1Yuxr4k5z0ejjAZ8i1aA3wZonJxejE0JJvSzZdh2f4gYjIQM2fBaSovCexpKcB0vuRt/XxH2W1ujnDfWA9QoFifksSFrAqa5TePzRi/tJJB+0fBBTIdxcJp5GoRAINZ+twWNjeUQIcU4I8ZoQ4gZsIaUyH+l0dNLU3zTuuJSSw62HGfIOsatkFwatYewAsNSww5A7vlFO40fK5vLST00eJhGaYL3C/NfaGcf1VD/nrYXccha0n2PRgC36eYPd0N9ORX4FLr+Lc5ZzMd120DvIR22xt/6ci8TTKIQLfo597doHLJRSrgEOAr8KeyEhviCEOCmEOGmxTEE7RUUlRio7K8Mer+mtod5ez+a8zeQkhEmB7GtmsdSyxDAmLGRvhZbjykMrc9HEN9dolXqF/CjqFeYrU61+DnpXIjGHu5pOk+yJ0IwnHL2N5OgSKU0t5YzlDC5fbE27anpquGoPH268kYinUWgFQk19ETAqf0tKaZNSDvtc/x8Q9rVISvkzKeUmKeWm7OwpuJUqKjHQPtgeVvCuz93Hh20fUpBUEL7piqufxIFOdpjGZBL5PYrKpzF58r0BrQ5WP6KI2t3sDFc/F8TY4Earh1WfQYvgU01n0EarVSQDYKmhImcz3oCX092nY17y4ZbDOH3OmOfNJeJpFCqBJUKIUiGEAXgC2Bs6QAiRH/LjHuBSHNejohIVJzpPjDvmD/g52HQQrdBy14K7xqefBnxgreFOUyGmsTo8DYeUxi/L759Yn0hnVN6OJ/MkbiY0Glh2X+z7KuZ0xPIHyBzq47a2i9HP8zjIcNlZmr6U89bzOLxhmvhMwJBviCOtR2Jb6xwjbkZBSukD/gbYj/Kw/72U8oIQ4rtCiD3BYV8RQlwQQpwFvgI8G6/1qKhEQ8tAS9iCpMrOSixOC7cX3U6SIcwGsa2e1ZpEFoztj9DbqHROK9wEaSWRb6w3w7qnpq4iOt8p26lsuseSkpu1BBZsZVVPC8t6Yth47m9nc9pSJJKqrqqYl1rfV09tb23M8+YKcS2LlFK+Dbw95ti3Q75/AXghnmtQUYmFcHsJrQOtnLacZmXGSsrSysZPGrSQ6rSzNWlM/NvnUtpJmjOgdGfkmxqTYe0TkDi/dfqvm6KNygb9pX0QbUiodDvu/hZ2tlZjNadgM4+XMx+HlKTYO1iRvoxLtkusy14XVgZ9Ij5s+5DCpEIS9NPQS3uGmWelkSoqU6epv4lOR+eoYy6fi/eb3yfNmMa2gjAhDJ8L0VPPXeYF6MeGlOoOKs1llj8QuVrXnAbrn1YNQrTkrIhN90loMK78DD6dkd2NpzBEW33sc7NRl4ZGaKjsCp90MBEun4uj7TdmUZtqFFRUgoTbSzjReQKnz8mu4l3oxz7YpQTLFTbo08kb2zTHekWRUSjeGlnCIjFL6YVgvjkawk8bGaWKVlS0ekmGRHwrHyTJ4+Su5rPK/7coSHQNsDqljCu9V+hx9cS8zCu9V2IS2ZsrqEZBRQVosDeM+wc84BngUs8llmcsJzshTNabvZUsr4dNxjGpqZ4hpZ1mUo6iyxOO5DxF1sEYoUezysSkFMDCMH0rIpCUtpCm4k2U9nezvrsh6nnrpR6DRh/2hWEyJPKGlMBQjYLKTY+UksqO8SGC4U3GsM3a3QNo7S3sSliANjRsJCXU7gefG5Y9EP5tNrVQ2VSeis6PyjUWbFF+l1FSULyD+rRCtnTWUDgQvlnSWEwI1przuGq/SvdQd8xLbB1oDVsEOZdRjYLKTU9dXx021+jqV7vbzuWey6zMWDk+2yjgB0sNW4w5ZGjHiK91X1TaaS7crngKY9GbYdVn5n7rzBsBjSa4XxNdvoxJq8ex5C76jEnc3XyGRG90xWlrNEmYNIYp90842n40ppafs41qFFRuagIyEDbj6GTXSTRCE75HQk8DBVLLWsOYzWH3ANQdgJRCpcl8OJbfr4aMppOEDCiLXixwlTmPjxfdgi7g597GU2gCkz+sDULLBkMmrYOttA22xbzEHlcPl3suxzxvtlCNgspNTW1vLX3uvlHHel291PbWsjprNYn6MU1bHFYMgxbuTChChObMSwk1f1ZaPi5/QNEuGkvhxutrWq8SnsIN0TUoArRCw8q0JXywYA15Q31s7YjuYb1Kn05i0FuQUW5Uh1LZWYk3cGP0XVCNgspNS0AGONl1ctzxk10n0Wq0rM9ZP/qEzw22Om4zF5CiGZMS2XEGehuUFpPhsomSsm8O+evZQAil53OUIblF+lQcWYs5m7WQtdZGFvdO3j1NJzRsMmTRNdRF00DsewQOr4Mz3WdinjcbqEZB5ablcs9l7G77qGM2p426vjrKs8ox60J6KksJ1iuUaswsN4x56Dt7of59SFsIBWHCTdpgk/n50kJzLmJKhcW7oh6+zZTP0YLldCSkc0fredJdA5POWaZPJ1Vj4ETbJ1PyFs50n2HIG4NA3yyhGgWVmxJ/wM/JzvFeQmVXJQaNgXXZY0TY+tswuwfZObZHggwoYnfDUtfhZBgW71KL02aC/DVRh+fydAmUGjPYv3A9Xo2W3Y2n0Psn7rimFYLNxhxsHjt1U9gj8Aa8YT3TuYZqFFRuSi71XGLQOzjqmGXIwlX7VdZkr8GkC8kqcg9CbxO3m4tIGCt211qpyGIv3gWmMFII2cuU3soqM8Oy+6JO9b3FlIfLYOZAyXpS3Q52tlZPOmexLpUMjZHKjmP4ZZRSGyFcsF2g19Ub87yZRDUKKjcdvoAvrNDZic4TGLVG1mSH9DGQEmy1LNenUaof89B3WODqEchcArmrx9/IlKI8pFRmDkMiLN0d1dBUjYFyQybtSZmczF3C0r52FvRPXIEshGCLMRe730VN+xQK2qTkWMexmOfNJKpRULnpqLZWj5NE7nR00jzQzLrsdRi1IRuWDgvJXg+3mfNHXyTgh8tvKRo8S3ePDxsJDazYo9QlqMws2csgd1VUQzcaczBqdJzKKaPXmMiOtguT9l8o0SWTqzVz0nYBn3vyvYixXLVfDavEO1dQjYLKTYXXH755SmVnJSadifKs8msHZQD6mrndXIhBjKlMbj4Kg52wZLfydjqWkm2qDPZssuSeqOpBTBodG43ZBDRajhSuItUzxIbu+gnnDHsLDunlQsuHUWsphfJJ+9Q2q2cC1Sio3FSct54f1xmrfbCd1sFW1mevHy16N9BJgdSO75Ew0AnNn0DOqvAd0tIWRNY8UpkZ9KaoQ3flhkxStUbakrO4kpbP+u4GUt0TN9cp1CVRpE3k1FArnp6JjUg4uoe6qeuri3neTKAaBZWbBo/fwxnL6FxxKSUnOk+QoEtgVVZIyCHgh74WtphyR18k4IPLb4I+ERbfPf4mehOs+LQiwaAyu2QuimqTXys03GLKA+CTghX4hYbtbRcm9QAqTLm4pJ/zlnPgsk84NhzHO47jj7YvxAyi/uWq3DSctZwd14y9dbCVDkcHG3I3oNeEeAn9bSzQGMnXjQkNXT0CQ1blLVQ/RvcIlLRUU2ocVq8yJRbdGZU0+SJ9Knm6RIb0Jk7kLaV4wEqZvXPCObnaBEp1yZxxW3B1X1ReGGKg39PPeev5mObMBFEbBSHEJiHE14QQPwy21HxMCJERz8WpqEwXLp+Ls5azo44NewlJ+iRWZqy8dsLvBXsrFcYxXkJfC7SegPz1kBGmA1vBuvDhJJXZQ2dQ9KaiaOM57C1UZxVjMadwW/ulSWsXNhtz8RDgjKMVbNFLcg9T1VWF2++OeV48mdQoCCGeFUKcQmmbaQZqgG7gNuBdIcSvhBDF8V2misr1cdZyFo/fM+pY80Az3UPdbMzdiDZU4trewkJtIrmhjXP8HqVIzZQGi+4Yf4PErJgqalVmkLQFkQUKQyjQJVKiT0EKDYcLV5PodbG5a+Jey5laE0v1qZz32HD0t4IjOknuYdx+N1WdsfeBjifReAqJwK1SykeklP9LSvlzKeVPpJRfkVJuBH4EhC0jFELsFkLUCCHqhBDfiHQDIcSjQggphNg0tY+hohIZp8/JOcu5UceGvYRkQzLLMkLe7n0uxEAnFWP3EurfB1cfLLsftGN0jzQ6WPlg5JabKrPPwh1RVZXfYspDCEF3YhoXMxawxtJIprN/wjmbjDkEkJxyW8BWq2hkxcB563n6PRPfYyaZ1ChIKV+UUjrDhYqEEKVSyjNSyvfCnNMCLwL3ASuBJ4UQK8OMSwa+AkxNrFxFZRJOd50ep1B5tf8qVqeVTbmb0Iamm/Y1U6ZLJksbUl/Q06AI3hVVhE8zXXRn+N4JKnMHrS6YADBxC0/lzT8NgGP5y3Br9exonXjTOVVjZLk+g4veXvq9Q2CtjSlN1S/9U+7VEA9i2WjeJ4QYKekMPuD3TTC+AqiTUjZIKT3AK8CDYcb9P8A/AtF1vFBRiYEh7xDVttHyBVJKKjsrSTWmsjR96bUTniHEoIWK0PaaXhfUvA0JWVC6Y/wNspZAUZjObCpzj+Q8pX5kEipMuWiFBrfOwCcFy8kf6mV5T+uEczYasxHASXe3IpDYH1txWl1v3ZQ6u8WDWIzC/0IxDElCiI3AH4BnJhhfCLSE/NwaPDaCEGI9sEBK+WYM61BRiZqqrip8Y7JC6vrq6HH1sDl3M5rQvgd9jSzVp5Ie2k2t8TB4HEqPhLG6R8ZkJdtI5caheJtiHCYgWWNgtUEJjNSkF9KemM7WjssYfZ6Ic5I0elYbMrni7aPH74LeRuXvJkokkk/aP4l6fDyJ2ihIKd9C2T84ALwEPCSlnEggPNx2/4hPJYTQBK/3f092byHEF4QQJ4UQJy2WibVJVFSGGfQMctF2cdSx4R4K6aZ0FqctvnbC1Y8Y6mFTqJfgsED7GSXXfeyDRAhY8YDaZ/lGQ6MJhpEmljHfYMxRqtiF4EjhKox+H7d01Ew4Z70hCx0aKt3dSjW8rS6mMFL7YDuN9saox8eLaLKP/o8Q4p+FEP8M3AWkAFeBLwePRaIVCA3AFgGhPlUysBo4JIRoBG4B9obbbJZS/kxKuUlKuSk7O3uyJauoAIqXMFbJcrjT2ubczaM7p/U2slyfTmqo7lH9+0pK48Lt4y9efEvU3b5U5hiJWVC2c8IhZo2OdUblWdNjTuFc9kJW9bSQ64iscGrW6FhrzKLB10+33wmufhjsimlpRztmv59zNJ7CSaAq+HUS+CHwx5BjkagElgghSoUQBuAJYO/wSSmlXUqZJaVcKKVcCBwD9kgp577guMqcx+62c6nn0qhjfunnZNdJssxZlKWG1BkM9aB1D7DJFOIl2Oqh96oiVzFW1C6lQMlmUblxKdoMaRNn0q81ZpEYLGg8kbuEQb2JHa0XEBM8tNcaMjEJLSdcQWPQ26jUvURJr6t33N/tTBNN9tGvhr9QNpb3jjkWaZ4P+BtgP3AJ+L2U8kKw8G3PdH0AFZVwVHVVjXvjqumpod/Tz+a8EC9BSuhrYoUhneThFpsBPzS8r1TCFozZRNYZlfRTVcbixma4hecEacR6oRkJJ/q0Oj4qWEG2q59ya+R2nAahZb0hmxb/IO0+h2IQemNr31nZUYk3BkMy3UQTPioWQrwihOhGSRutFEJ0B48tnGiulPJtKeVSKeUiKeX3gse+LaXcG2bs7aqXoDId9Ln6qOkdHf/1B/xUdVWRk5BDSXLJtRMOKzrPEBtD9xI6zsCQDcruGJ/CuHQ3mNPiuHqVGcOcDovvmnDICkPGSEixITWPpuRsKjprSfBGTpZcbcggUeg47u5SlFAHOyEGie0h39A4ja6ZJJrXnVeB14F8KeUSKeViIB/4T5Q0UxWVOUVlV+U4WeLhTmsVeRUhXkIA+ppYbcgcCRPgdUHjR0poIXNMTWb+GsgdV2qjciNTsF4RzouARogR+QuE4MPClWhkgFvbI4d4dELDRmMOnf4hmn2DwUZN9TFtOp/pPjOu58dMEY1RyJJSvirltR07KaVfSvkKkBm/pamoxI7NaaOud7Qk8XCntbzEPIqSQnosD3Si93lYbwxJXmj+GHxOWHTXaL2chMzwqqgqNz6RxA2DLNKnkhOUPOk3JnIqZxFL+jooGogsabFcn0ay0FPp7lZeUNwDiscQJd6Al8rOyug/wzQSjVGoEkL8VAixRQhREPzaIoT4KTC+W4mKyixyvOM4ktFvZBdsFxjyDbElb8s1LyHgB3sL5cZMzMPpiUM90FYFeWshKUTmQqOFlXuUTCSV+YcxGZbcO+GQEW8BOJ1TRp8hge1tF9BEkL7WBvcjLAEnjb5g6CjGTedLPZfocfVEPX66iMYo/AVwHvifKJvGB4LfVwOfjd/SVFRio2Owg8b+xlHHhjutFSYVUpBUcO1EfzsGv591hhA9nIYPlPz10jEpqKU7Jy14UrnByV0JGaURTxfpkkaaLfk1Wj4sWkW628F6y9WIc5bq00jVGK55C36fYhiiRErJ0fajUY+fLqLJPvJIKf9FSrlbSlkupVwd/P6nUsq5pfmqclMTriH6cKe1irwQlcygNPZaYxamYS+ht0kRMyveCoaka2MTs5T0RZX5T+nOCSW2twbF8gBakrOpS81jY1cdKe6hsOM1QrDJkIMt4KLBFxS8G+xS6heipKm/idaBiSU2pptoso+yxvz8TLCY7QtCRCFSrqIyAzTaG+lwdIw6NtxprTi5mLzEkDd9eysmlDx0QNlwrn8PjCnjDcDiu9T005uFlPwJ+2Fkac0s1l9roPRx4UoCQkzYpW2xPpV0jZFKdzcBKZVxPbFtOh/tODqj/Zyj+Ws/MPyNEOJ/oISMqoC7gX+K07pUVKJGShlWZfKc5Rxuv5vNeSEPep8b+ttZb8xWZAwAOs+DozuYghoif5C5OHwznXmOlJJ+l3fONpaPKwt3gIj8WKww5aEJvgs7gl3aSgYslPaHr1zWCMEmYw69ATf1vmDLTvcgDHSEHR8Oy5CF2r6J+zpMJxMLgCiEegMPA9ullA4hxO+AU/FZlopK9FzpvYLNZRt1zO1zc9ZyltKUUnISQmoQ+ppJEFpWG4KJcz630mIzpRCyl18bp9FOmsM+33B5/Vxo7+dcax99Q160GkGqWU9agj74XwNpwZ9TTHo0mnkYKEjMhLxy6Dgb9nSqxsAqQybn3Urm0fmsEpb3tHJb20VakrLwacc/UhfpUqgKeguLdKmKUeltUkKTY3tzROB4x3HKUsvQTaLZNB1EcwdzUM1UA2illA4AKaVXCDH3uk6r3FT4A/6wqXtnLGfwBDyjvQTPEAx2sd6Uj374bbDlGHgdsPqR0fHkwg2QcHN0m7UNujnb2seljgE8vmtV4P6ApMfhoccxXh1UqxGkmHSkJRhITdAHjYViNFLNN7jBWHgbdF2I2HN5ozGHGk8vHulHCg1HilbxcN0xNnXVcaxg+bjxQgg2G3PZ72zmireP5YZ05do9jZC9dPwNwjDgGaDaWs26nHXX88miIhqj0MG1MFGPECJfStkhhMgEYutUraIyzVywXRjXtcrpc3Leep5FqYvINIeU0vQ1kSh0rArKIuOyQ8sJyFml6BkNozdDyW0zsPrZQ0pJg9XBmeY+mnvCb5ROhD8g6R3y0js0PsVSIwTJJh1pCfrgl4HcFBOFaeYwV5qDmFKgcD20hK8TSAgK31UG9Y06EzO4lFHEWstVajIK6TUlj5tTqksmS2Oiyt3NEn0aWiGUkGVyLphSx40Px0z1W5jUKEgpwzSkBaAPUFXBVGYNr99LVdd4TcbT3afxBXyjvQT3ADisbDIXohv2EhoOKd5B6RjFzNIdExYz3cgoISI7Z1vs2J3x0dcJSInd6cXu9NIUEtVblJPE7cuySTHdAG1Li7cpIaQIPRTWGbO44OlhKNjR72j+ckrtXexovcAbi7aMy2JSvIUc/uxspsbby0pDxrVK54L1E2Y9zTQxp1UIIfKEECJY1Rz7K4aKyjRxxnIGp8856tiQd4gL1gssSV9Cuin92oneRlI0BsV1B7C3geWS0mLTlHJtXFI25MffRZ9prINu3rvUxb9/dJUjV6xxMwgTUd89yK8/aeTE1R78gTm+iW1IgAVbIp7WCy0bQyrhXToDR/OXU+joYVlvW9g5JbpkcrRmqtwW/MNijR5HzF3a4k1MRkEIkQ40AKrKqcqs4vQ5OWsZvxl4qvsUfulnU25IWw5nLzj72BRss4iUSgqqIUnpixDK4l3zJgU1EJDUdQ/yWlUr/3G0iXOt9lF7BrOB1y/5uM7Kb4410TKFsNWMUlQxYROllSFieQCXMoroTEgLdmkbb3SFEFQYcxiUXi55Q/oy9DUpCQ9zhFj/+p8G3gX+Kg5rUVGJmqquKjz+0a79cKe1ZRnLSDUG47RSQm8jqVrjSEN2ui/CQLsSNgrN/shaMi8a57i8fk429vDLTxrZd7Z9Tj58exweXqtq5e3zHQy65+jWpM6ghJEioBUaKowhcihCcLhoNSafhy2d4bu0FWmTyNMmcMptwTfsLQT8Su+OOUKsRuHzKD0SFggh8uOwHhWVSRnwDHDBemHc8VPdp5BSsjE3pAfCkBXcg2w25iqpgH4vXD0ESXmQu/raOI0WFt0Z/8XHEcuAm3cvdvHzDxv4sNZK/yyEiGKlpnOAX33SSFVTL4G5GFIqWD86vDiGxfpUsrTXNtBt5hTOZy1kla2ZnKG+ceOHvQWH9HHRE6JrNGgB5/jxs0HURiHYJtMqpWwBfo1iIFRUZpwTnSfGtdkc8AxwqecSyzOWk2II/iOWEnqbyNCaWDJcidp6Qtl0HquCWrTphk1B7ep38YeTLfzmWBPVbXa8/jn4cJ0Ajy/AkSsWfnuimbY+5+QTZhKtTklRjYAQgq2m0bpYJ/KWMKQzsqO1GhGmALBQl0SBNpFTHive0EZQPfVKdf0sE4un8JfAvwe//w/gmelfjorKxNicNq70XBl3/FS3Uke5IXfDtYMDneB1UmHKVTRr3APQfAyylkFaSPtwQ4LSdvMG5FJHP7+vbKG1d449TKeAdcDNH062sP9CJ0OeORRSyi1XCs0isECfTJHuml6WV6vn44IV5Dj7WRph07nCmINT+rgQ6i14hubEpnNURkEIkQDsRmm2g5TSAtQIIW6P39JUVMYTThq739PPZdtlVmSsINkQzBEP+MHeTJbWTNmwl3D1iPImVjYmy7p0h9Jm8wYiEJAcvmLhnepOfNMYdpFS0t3voqZzAOuge8azhKSEi+39/OqTJs619s0NqQ2NBhZun3DILSFieQB1afl0mVOp6LyCNoy8dr4ukQXaJE57LHhCvd6+5lnfdI62ZtoLbJFShgYpPzfZJCHEbuDHgBb4uZTyB2PO/1/AfwX8wCDwBSnlxSjXpHKT0enoHCeNDcqmsxCCDTkhXkJ/O/g8bElcqPw80Ald56Foy+h2mkk5N1wKqsvr561zHVMqOinIGpsAACAASURBVItEv9PL5a4BajoG6Bm6toGvFYKMRANZyQaykoxkJxnJSjZi1msnuNr14/L6ee9SN9Vt/dy1IofclFmuG8lZDi350B9esyhHl8AifSp1nuC+gBAcLVjOQ/XHKbc2cSZnvIbWZlMOf3I0cN5ju9YONuCHngbIWRGvTzIpkxqFYE2CFxhVTiel7B8zRo6ZpwVeRBHOa0Xp7bx3zEP/d1LKfw2O34NSOb17qh9GZX4TTlve7rZT01PD6qzVJA1LXgelsfN0iZToU66loOoToGTr6Ass3jWnCocmwzLgZt/Z9mmpM3B5/dR1D3K5c2Akll+QZuLO4hzyUkzYHG6sgx6sA26abENc6rjWZzjJqCMrKWgoko1kJRlJS9CPiMVNF139Ll4+0Ux5YSq3Ls7CFGdjNCGlO+Fs5A7EW4y5NHjtihoq0J6USVNyNhu667iUsQC3bnTRXq42gRJdMmfdNlYbMjEOCzQ6rEoatTl97C1mhGg8hQ+EEH8E3pBSNg8fFEIYgNtQPIYPgJfGzKsA6qSUDcHxrwAPAiNGIdSwAInAHPAVVeYiTf1N46SxQfESNELD+pz11w7aWyHgY3NCsfKz9QrYW5TuWrqQN87spZBeEueVTx+1XQMcuNh1XbUGvkAg+IDvp9E6hF9K0hP0bC3LZFleMqnmaw+u7OTRIbUhjw/LQNBQDLqxDLpp7hliOMKk0wgyk0I8iiQjWckGjLrre5BLCeda7dR1D3Lr4ixWFaSMCtXMGBmlSspyhEY5qVojKw0ZVLuvlXEfy1/GY1c+YkN3PUfD6CJtNubwmq+ecx4bm40hwo22BkVqYwLF1ngRjVHYDTwHvCyEKEWRtzChhIQOAD+SUp4JM68QaAn5uRUYVyIohPivwH8DDMCNnROoEhciSWP3ufu40nuF8qxyEvWJykGfCwbaKdAlsUCXpAiPNXwAidmQv/baZI3uhklBlVJytN7GicaeWGT4R81vt7u43NlPbdcgbl8As15LeVEqy/OSyUk2RvWQTTDoKMnUUZKZOHLMFwjQ6/BiGXRjHVAMRb1lkAvt1973Ukw6cpJNrC9Oo+A69I+GPH7evdjFxfZ+7lieM85ozQhlO6GqMeLpTcYcajx9eIP7BDZzCjXphZRbGzmfVcKgYfTnz9aaKdWlcM5tpdyQgUkEH8neIaXqPjQhYoaIRvvIBfwU+KkQQg9kAU4p5WRJteH+ysb9SUspXwReFEI8BfwPwuxVCCG+AHwBoLi4eLIlq8wzrvReweoc3yS9qqsKrdCO9hJ6GiAQYEtCsKiorQpcfVD++Oi3rqJNs+aex4Lb5+ed6k4aLI6Y5/Y6PFzuHOByZz/9Lh86jWBRThLL85IpTk+YFiVTnUbz/7f35rFt3dme5+d3uUukNkrULlmb90W2ZTvOXtlTWSpJJalU1Ru8AQrzpoEudDdmgMF7aOCh+zVmMD0NzHSj+01jarpreqbfkpekKqmslcTZN9uSN9mWLcvWSq2UqIUSxf03f1xKIkVKomRtcX4fgBB57yV1JJL33PM753wPRQ59CYl455KUkplgVHcUcWfRNz7LTc80dUXZ3FNfSH7W2udd90/M8vdne3lifwk7i1PF5zaUnDI9wvSkVsABZGkmDlkKaQkszFc4W7KT+olBjg/d4NOqQynPOWZx0RWZ4lJwjBPWhGa4yV79YmaTdbgyySlYgX8E1AOtwG+llJnUi7mBRDdXASxXb/Uq8B/T7ZBS/gb4DUBTU5NaYvoBsZQ09nhgnI7xDg4VHSLLFJci8HthZoxKk4NSY7auK9PzLRTUJc/fNWdD9dKdqtuF8ZkQb18aSCtdvRQzwQgdI9NcG5xixBdEAJUFWZysdVJbZMds3PjlCCEEdqsRu9VITaEeVYSjMc73jnOuZ5yu0z3sL8/lRE0BWea1zQeIxiTvXx4kFImxvzwzldF1o+YBGL25ZE9Bo6WQK6ExAnHp7WmzjcuF1TR6urhYVIPXltwM5zRYqTfm0hoa46DZiW1uZkIspl/kFO/d0D9nMZm8I/8vevXRV8CPgX3AP83gec1AQ3zJqR94BfhF4gFCiAYp5dxIoaeAzRsvpPhe0DbWliKNDdAy3IJBMyzoy899gWBBeqD7a4iFU5eJah/Y9iWoXaMzfHBlkGB45fxBOBrjlkdPGPd6/Uip5wPuayhkV7GDbMvGD2ZZCZNB40SNk/1luZzp8nK5f5Lrgz6O7sjncGUeJsPqnZWU8HHbMIFwlKYdm9h4mF0Ixfv0iX1pMAsDRy0uvplduAY+76pjj7ePk4PtvFebOvO7yeLiVmSSi6HR5GY4/5h+sbOJjZWZfFr2SikPAAgh/jNwNpMXllJGhBC/Bj5Ezz/8Vkp5VQjxV0CLlPJt4NdCiEfQnc44GZS5Kn44LCWNPTY7xs2Jmxx2HcZmjK/RTrkhPEu9OY9iYxbMeGDwYnxYTsJMBUcxlBzcpL9gbZzt8vLtrdGM8gednmk+uT6CPxTFYTVytCqf3SUOnPbbc3oGTWxIj0K2xchDu100Vubxzc1Rvrs1xmX3JCdrnewudaypeumrjlEC4Rj3NizdYLbu7LhX19BK04MAsN9cwOXgKFMxPcoLGs2cd9Vx92A7ZdNjDNidScfnGyw0mHK5EhrjkNlJlpZQqeTtBGsem0UmTmG+9i1+os/4xaWU7wPvL9r2lwn3M4k4FD9QLnku4Y+k1uK3DLdg0kw0FsWjhHAAJvswCE2/ypISbn2qRwOLh+Vs4xLUUCTGx23D3Bj2rXjsbDjKFzc8tA/5KLSbeWJfCRX5tjVX5QgBZbk26lzZ1BXZybGaGPeH5iuNRqeDeHxBfIH16TQuyDbzzKEy+sdn+eqmh4+vDXOhb5x76wuTEtmZ0tztJRiJ8tBu1+ZUJtnydF0kd0va3QahccxazCf+hVqby4U7ODjaw8mB6/yu4e6Uz2GTxUVHeJLzoVHutSZIy4Vn9YuegsymtN0umTiFQ0KIufhdoI/nnIrfl1LKpdWiFIo1MhuZ5aIntahtbHaMzslOjrqOYp0rL40nlxutLhyaWR9cMt6l6xuZEqo9XLshb3sWKkzOhnn70gCjvpW7WW+OTPNZ+wiBcJS7agpo2lGAYQ1JY5NBUFmQRV2Rndqi7JT1fafdgtNuYRcLydxAOBovS9VLUz2+IN6Z4Jr1lsrzbfysqZIbw9N8e2uUty4OUFWQxb31hauuLmp1TxKMxHh8X8ma/h+rpjo+iCeavmdkpymP8wYP49EAAFHNwJmSnTzc10rd5BC38pI1RXM1C7tMebSFvDSaC7EnRgsTfXqObBPIpPpoC7tFFD9Uzg+fT5HGBmgebsasmTlUFK/i8HvBP0a2ZuKIpUgP5zs/1SuLyhI6nDVjqrzFNqHP6+e9y4PMhpYfeT4bivL5jRFuDE9T5LDwXGP5qk+cNrOBmsJs6oqyqXZmr3ot32oyUFmQRWXBwpyBWEwyMRuejyZWG1UIIdhV4qDOlU2re5KzXV7+7mwve0odnKx14ljFpLb2IX3O9FMHS9eUp1gV5myoPA7d36TdPTdt7SP/fHsXN/LLafR0cmKwna7cYmKL+hCOWlzcCE9wPujhflvCiFgZ0/ttNiFY2PoMlEKxiLkh5Yvx+D10TXbRVNyExWhJTi5bizEJAwyc05Nz+36qy2HPUXksWd5im3C+d5yvbozOd8EuRcewj8/aPQQjUU7WOjlanZ/x1XCuzURtkb4sVJ5nW5dS1EQ0TZfCKMg2J5WIJkYV7vFZbo5ML/s6Rk3jSFU+e0tzaO72cqlvko7haQ5X5XG0Oj/jJriu0RnevNDPTxrLbrtxbkUqT0D/eX2JJw11cWnt0ai+XwrB6dLdPNXVwp6xPq4WJjdP5mhmdpvyuRYe57ClUI9851giIllvlFNQbDuah5pTpLEhHiUYzBwsiieK48nlQoON3aZ8Pbzu/hLyqsFZv/BEi33ZYSlbQSQa45PrI7QNpFZWJeIPRfi83UPHyDQuh4UX9pZTmEES2ZVjoa7ITl2RfWuavEiOKg5X5XNzxMepayMrRkRWk4H7Goo4WJHHt7dGae4e50r/FCdqCthfnpuRM+wfn+WNc26eP1y+5rLXjDBaoOqknsNKgxCC49Zi3p/pnt/W4yiiP7uAY8Md3MgvJ2xItu+opYjr4QnOBT08aCvfONuXQDkFxbbCG/DSPp46tWrEP0LPVA/HS45jMVjmk8sA99rK9ORi52f61VTDY8lJvJoH9Cla2wRfIMy7rYMMTQaWPEZKScfINJ+3ewhFYtxd5+RoVf6SV/maEFTk26hz6fmBnFUsuWwW9S4Hpbk2Pm4bpmt05fXxXJuJJ/eXcqQqwFcdo3x+w8NF9wT31BVSV5S9YkJ5ZCrI6y1unj9SvrH/j/Kj4G7WpdnTsMOUQ7Exi+G5oom4WN6LHd/S6OmkuSR5TciumdlnzudKyMthSyG52uY69TtjGK3ijuHM4Jm0csnNQ81YDBYOFB7QN8STy7WmXMqM2brk8PAVPZxPKkEtgZIDm2T9ynhnQvxDc9+yDmEmGOG9y4N8cGWIHJuRnx+v5NiOgrQOwaAJTtQW8N8/UMtPj1bQWJm3LR3CHNkWI88dLueh3S5MhsyWsYpzrPz0SDnPHCpFQ/De5UHeOOdmbHrlpLx3JsRrzX2Mr6IBcNUYjLBj+XkcJxYN4hnJyuNmbgmNni5s4dS/47C5CA3BuaBnXU3NBOUUFNuGoZkhuiZTZ9UOzQzR6+vlsOswZoN5PrlsEBonbaV6crnjI7Dmpi4TbaMS1JH4hLSlErBSStqHfPzN6R66x/zcU+/k5aOVS/YcFDksvHK8krvrtlg9dA0cqszjFyeqM5bEFkJQW2jnlyeqeGi3i3F/mNfPuRmaWtq5zuELRHitpY+RDI5dMyWHlm0wqzDaKU8YxANwpnQXWixG03Bqz262ZmK/uYAb4QnGo5s7X0E5BcW24fTg6bTbW4ZasBqs7HfuT0ouHzA7ydXM0N+iz2KufxQMCVfJrj1bIiiWDve4nzfOu/EvsZ4+E4zwbusgf7w6RF6WmV8cr6KpOn10oAk9Ovj58Spcji2eM3AbFGSbeeVYJSdqCjJuWtM0wYHyXH52rBKLUePN8/0ZjfD0h6K8cd69ceM+NU0f1rQMSbpGwKQlmzZnJXvH+sgNpi6nNZqLMKDREhxJ2beRKKeg2Bb0TvUyMJ0qjTU4PUjfdB+HXYcxGUzzyWWbZqTJ6oLApC5n4WxITi4bjFC3PUpQu0ZneOtCf1rJCikl1wan+K+ne+jx+rmvvpCXmiooyE6fAyl0WPh5PDrYlFr8DUbTBHfH/+ZE2e6VyLWZePFoBVkWA29d6M9o4FAwHOPN8+6M8hlromi33jG/BPPzPRJoKW4gpmmcGEzNo2VpRg6YC7gZmcQb3cAoZxHKKSi2HCnlklFC83AzNqONfYX7kpLLx60lmIVBH56D1JeJEqk8oS8nbTHtQz7euTSQtrlrOhjhndZBPmobpiDbzC9PVHGkOj/tVfNcdPCL41W4tnoK2QZQlmfjT+6qXpW4ncNq4sUjujN5+9JARif7cFTyzqUB2odW7hpfNULoRQ3LMD8vPM6sycLFohrqJ4dw+VOFpxvNhZjQaN7EaEE5BcWW0zHRkVYau3+6n/7pfj1K0EzzyWWnwcZeUz6M3dQbeqrvSXYAFgdU3rWJf0F6Wt0TfHBlMEVDSEpJ2+AUf3O6hz6vn/sbCnnxaMWSctJ3WnSwFGajxqN7i3nmUBlZ5sxyJNkWIz89WoEz28y7rQN0ZCAREo1JPrgyyGX35O2anIqzbtmu+bn5CYlcLKrFbzRzcuA6iwWvrJqRg2YnnZEp+oPj629vGpRTUGwpS0ljSylpHmomy5jFPue++eQywD22UkQsAjc/1iuNKo4nP7l260tQm7u9fHJtJEXULhiO8valAT5uG8Zp16ODw1XLRAc1d250sBT1Ljt/clf1vOz2SthMBl44Uk5xjpUPrgxxbXD53g/Qz72nrg3T3O29XXNTqV1dtBA2GGkubqB8xku1L7Xa6JClEDMaH46nNnRuBMopKLaUq2NXmQymXrH1T/czODPIkeIjGNHmk8s7TDlUGO3Q+52eT2h4LLlzObcCivdvlvlp+arDw9cdqZHPTDDCG+fd9Hr9PLCziBePVJC3THTwyvFK7q6/s6ODpZgrXX14T2alqxajgecayynPt/FR2zCX+zOLAr7uGE37Xt0WuRVQ2LDk7gKDlZ2m5O76a85KJsxZ3DV4HbHoSsIiDDRaCrnqH+Dq6NX1tTUNyikotgx/2M/ZoVQl9rkoIduUzZ6CPfPJZU0I7raW6hFD3xlw7dO7l+cQGux8fMtKUKWUnGobpqU7NcyfnNVLKCdnwzx7qIzGyry0zVeJ0UGm5Zp3Mgcr8vjliWpKclf+X5iNGj85VMYOZxafXh/hQm9myy3N3V5OtQ2n7Y9ZMzX3L/s5bLIWJ0WHMaFxpnQXzsA0O8f7U44/YHbiNNrp8/Wl7FtvlFNQbBmnB0+nFb1zT7sZ8g9xxHUEYzQyn1w+YHaSp5mh4+P0M5YrmsDuSnm9zUCfBDaU9gp1dDrI6y19BMJRXjhcsaQ0dKHd/IOODpYiP9vMz5oqOVG7cumq0aDx9MEy6oqy+bJjlLNdmS0PXe6f5N3WQSLRlYcaZYTdtWzEmhvXOErkVm4Jw1m5nBi6gWHRnAazMPDnlU/yRM0T62PfMiinoNgShmaGaPemluFJKTk7dBa7ya5HCfHkslUz0mQtBs91mOjWqzzMCSdXaw7suG/z/oAEwtEYb1/qTzsHYXBS1+BBwEtHK9Je8WpCcLymYFXNXD80NE1wd10hLx+rIC9r+dJVgyb48f5SdpU4+K5zLD6waOUo4ObINL8/308gvLw2U8bU/WjZ+cpN1mIMiSqpQvBd6W7s4QAHRntSjtfE5pyulVNQbDpSSr7q/wpJ6he119fLiH+Eo8VHMQQm55PLxywuLNGIXoJqL4GyxuQn1j+yJcnlQDjKm+f76R5NrZPvGZvh9+f7sZoMS3Ymz0UH96joICNKc2388sTKpauaJnhsbzH7ynJo7h7ny47MHEP/xCz/0NzH5Ow6KJKas5eVa7drJvaZk7ugB+xOehxFHBm5iSWygdIcy6CcgmLTafO24fGnVlnM5RIcZge78hrmk8sFBiv7zE7o/gpC09DwuJ4/mMNZD0W7Nsv8efyhCG+cS98le2PYx9uXBsjPMvPS0QpyFjVmqehg7cyVrt5Tv/z4TU0IHt7torEij4t9E3x6fSQjxzCnlzTiW4eGsdJDeuJ5CY5YXLrkewLfle7CEo1wZOTW7f/+NaCcgmJTCUQCnBk8k3Zf91Q3nlkPTcVNGHyD8xr1d1tL0WZGoP+cPgIxJ2FilcEIDY9uhulJTAXCvNbchyfNpDS9P2GIklwrPz1aTrYlWYy4INvMz46p6OB2OV5TEB+/ufQxQgju31lIU3U+Vwam+KhtmFgGs6engxFeb3HTO7Zyp/SyCAG7nkyukEsgSzNywJI8r9lry6E9v5wDoz3YQxsky7EMG+oUhBBPCCHahRA3hRB/nmb//yCEaBNCtAohPhFCVKd7HcWdw9mhswQiqVdgUkpahlrIMeew0141n1yuMjmoMtrhxof6aM0di2rAq+/Z9OE588qb/uQlBiklZ7u8fNbuoaYwm+cby1OGvJTmWvnZscqMqmkUK3OoMo/H95Usm4AWQnBPfSEna51cH/LxwZWhlIbCdIQiMd662J9R38OyZBfqE9qWoNFcqHfnJ3A2Lqd9fOjG7f3uNbBhTkEIYQD+GngS2Av8XAixd9FhF4AmKeVB4A3gf9soexRbz+jsKFfH0tdZd011MRoYpam4CW28G2Ix/ctsLYWhVvAN6NVGiYm77EJdzmITGZ4K8FoapVMpJV91jPJd5xi7Sxw8daAU46JxkFUFWbxwpOJ7p2i63dlTmsNTB0sxrhB1Ha8p4L6GQm56pnm3dSCjSqNoTPLh1aHbb3KrvkcfEZsGq2bkkCV5KWzabONy4Q52jffjnL1Np7RKNjJSOA7clFJ2SilDwKvATxIPkFJ+JqWci89OA0svvim+93zl/irtmu5cLiHXkkuDxTmfXN5nLiA/FtOH5+RW6n0JiSxuXNtg+rx+3jjnTpkcFotJPr42zIW+CRor83hsb3HKslCdy85PGsswG9WK7UZQ77Lz3OHyFf+/R6ryeWiXi+4xP29fGiCcgWOQUm9y+yzDnERaDCbY+diSuw9ZCrFqycuM5111BA1G7kojlreRbOQntBxI7LRwx7ctxa+ADzbQHsUW0u5tZ3BmMO2+zslOvAEvTa6jepQAWDQjxy3F0Pk5REOp09RK9kP+5q02dnqmeetCP6FI8kkkEo3x3uVBrg36uKu2gPsbClOa0vaUOng6TeSgWF8qC7J44Uj5ipHYgYpcHttbjHt8ljcv9BOMZFaCerFv4vZ6GQpqoXjxYomOWRg4YilK2hY0mjjvqqfa56Fsemxtv3MNbOSnNF0sl9bNCiH+BGgC/s0S+/9MCNEihGjxeDZ/EpHi9ghFQ0uqoMZkjOahZvIt+dQL63xyucniwuob0peOKo5BdsIXxmRNbVzbQK4PTfHOpUEii9ahg5Eob10coHN0hgd3FXGixpniEBrn1rxVQnlTKM218eLRCrItyzuGPaU5PLm/hOGpwKp6E267l6HuYX2ucxr2mZ1ka8lVapcLq/GZrGnF8jaKjXQKbiBxwkkFkCKYL4R4BPjnwLNSyrQjhqSUv5FSNkkpm4qKitIdotjGtAy1MBNOL2t8a+IW48FxmgoPok25AcgzWNhvyoOOD8GSo6/HJlL7YHLj2gZyY9jHh1eGiS36QvpDEX53vp/ByVme2FfCoYrUZPfxmgJ+tNu14ixhxfpS5LDwclNlShnwYhqKHTx1sJSxmRBvnHczE0w/EW8x/ROzvNbSx1RgDb0MFrv++U2DSWgctSR35Ec1A2dLdlI8O0nxyOYknTfSKTQDDUKIGiGEGXgFeDvxACHEYeD/QncImzteSLEpeANeWkdb0+6LxqK0DLdQYC2gLiL1qWroJaiG/vMw49Gb0gwJTWk5ZVDamPb11ptOzzR/vDKU4hCm4jpG4zMhnjlYxq4SR8pz72soXLGOXrFx5GWZebmpAqd9+YbG2kI7zx4qYzI+3nPcn1nD2Nh0iH84u8ZehrLDkJt+JX2POR+HlmzzjfxyxqwO6m99CdF1aKpbgQ1zClLKCPBr4EPgGvCalPKqEOKvhBDPxg/7N4AdeF0IcVEI8fYSL6f4nvJ1/9fEZPo12NODp5kITnBXwX7ErF7dUWlysCMG9HwNBXX6RLU5hAY7n9gUwbs+r5/3WlNnIXhnQrweTzY/f7icHYvknYWAR/YU07Rj6Xm9is3BYTXx0tFKXDnpl2vmqCrI4vnD5QQjUV5r7qN/PLPegDX3MggBO9P3LhiEpk8UTEAKwXelu8ienYBz/2V1v2sNbGjmS0r5vpRyp5SyTkr5P8e3/aWU8u34/UeklMVSysb47dnlX1HxfeLWxC3cPnfafT1TPbSOtnLAuZ/qoP6lEnMqqLc+BRnTZy4nOoDyo8uOO1wvBidnefvSQEoOYWgywOvn+ohJyU+PVFCWZ0vab9AET+4v5UDF1k98U+jYzAZePFpBeb5t2ePK8mz8rKkSq9nAmxf6uZ5hb8KaexnsRXquLA27TPnkGZIdWa+jiBv1D8Dup1b3e9aAKodQbAjhWJhv+r9Ju88f9vNZ32cUWAu4y1qsj9kE9poLcE4O6KJ3VXcnN6VZHFCz8YJ3I74Ab6apMur1+vn9BTcWo4GXjlZQ5Ej+0poMgmcOpV9KUmwtFqOB5w+Xrzi0Jy9LV2MtzbXyYdswpzvHMipBnetlaFltL8OOe9M2XmpCcMyy6OJHCLqrj+vLpxuMcgqKDeH88Hmmw9Mp26WUfNr3KaFoiEeLjmL0DQN6Sd4xk1OfpmYrSO0ArX9kyaqN9cI7E+LN8/0Ew8kO4ebING9fHCDHZuKlo6mDccxGjecyOOkotg6TQeOZQ2XsLF7eaVtNBp47XM6eUgdnurx81DZMJJZZL8NXHaN81r6KXgaDSS+1TkO9KRenYfnoZqNQTkGx7kwGJ7k4cjHtvtbRVvp8fdxd3ERB3CEANFldZLlbYHY83pSW0MhTUAuu3Rtrsz/M78+78S9qTLs6MMn7lwdx5Vh48UhFio7R3PJERX7WhtqnuH0MmuDHB0pWVFg1aIJH9xTPy2K8eaGf2QxLUC/2rrKXwVmX9rMthOC4deOXStOhnIJi3fmm/xuiMvVL5PF7OD14mh2OavaFovPVRrkGCweimj5is2gP5O9YeJJmXLYTdD2YDkb43Xl3inTF+d5xTl0bmU9ELm6KcliNvHS0Qqmcfo8QQvDo3mKOVqeXnEg87nhNAU/sK2F4KhjXusqsMmnVvQz1j6aNgmtMObiMm3+xoZyCYl3pmeqhe6o7ZXs4GuZU7ylsBisP2soRCaJ4Jy3FGG6e0qsx6h5OfmL13UtqxqwH/lCE3593J+nnSyn57tYYX3WM0uCy88yhMkyLupHzsky81JR+RoJi+3P/ziLurnOueNyuEgcvHC4nGImtqjKpf2KW11v6mM6k98Fih9oH0u46sTi3sAkop6BYNyKxCF/3f5123zcD3zARnOChgoPYAguVGpUmB7WTQzDeBTvu178gc2Q5oequDbM3EI7y5oV+xqYXrgCllHxxw8PZbi/7ynJ4Yn9Jio5Rod3My02V5K7QHKXY3pyodfLgrqIVK5zL8my83FSBzWzg9xfcGVcmjU7rarqT/gx6C8qOpE0iV5oclBntaZ6wcSinoFg3LnkuMRlMnVF8a+IW17zXOJy/h4rgQmezTTPysMkFNz/RZ9qWH0l+4s6NE7wLRWL84WI/I1MLTfTRlErA7QAAH01JREFUmOSjtmEuuSc5UpXHw7tdKZLMpblWXmqqTMktKL6fHK7K57G9y0tvw1wzXCVlubZVVSZNzoZ5rSX93I0k5uYupBm5eWKTcwvKKSjWBV/Ix7nhc2m3f+7+HJe1kGPSMq/fIoTgYVslWX1nIORLnaZWvDc5t7CORKIx3r40wMBEIGnb+5cHuT7k42Sdk3vrU4XtKpX09R3J3rIcnjpYsqL09uLKpA8zrEyaDuoT+gYnV1h6srugMrV3odSYTaVp80qdlVNQrAvfDnxLJJa8fhqTMT7p/QQpJY9kVWBI2N9oKaJqahjczfrIwpyEtn+jJTW3sE5EY5L3Lg/S513oQg1FYvzh0oKw3fEdBSkOobYom+eU9PUdS73LwbONZZgMyzuG+cqkOiftQz7ePN+fIqWejkA4yu/P99Mzll4DbJ4d94E1tTpqM3ML6hOuuG3cPje3JlLnyZ4fOc/gzCD35e4kN7LgEEqM2ZwIxaDtD3qH8mIHUPtAcm5hnZBSbzLq9Cx8MWfDUX5/QZ+z/Pi+4rTCdntKHTxzsExJX9/hVDuzM5rJIITg+I4CXWXVF+QfWjKrTNKXLAfoGPYtfdASvQsuYxa1ts0RA1WfcsVtEZOxtMnloZkhWoZaaLBXsiu6cPVl0Yw8quWiXfmdPl5z/4uLBO9K9aTbOiOl5OO2YdqHFr6Q0wE9rB+dDvH0gVJ2l+SkPO94TYGSvv4BUZGfxYtHM1si3FmsVyaFVlGZFI1J3r88xJX+1NzbPIX1ULQrZXPdIk2kjUI5BcVt0eppxRtIbu8PRoOc6j2F3ZTN/VryifZhUyGOq29BLAIHXgZzQkSwgYJ3n9/wcHVgoWpkwh/i9XN9+AJhnmsso7YoOTLR4vXs96TJLSjubIpzrBnNZIC4ZtKxyvnKpEw0kGJScuraMOd6xpc+qOFRMCZ3zm/W51A5BcWa8Yf9tAy3JG2TUvKl+0umQ9M8YqvAnDBr6YApjx03TsGsF/a9oM9YTqT8CDhK1t3Ob2+OcrF3Yv7x6HSQ18+5CUVivHAktRvZYtJ4/nD5ip2vijuXIoeFl45W4rCuXGWWazPplUl5Nj5qG+a7DCqTpIQvb3j45uZo+gMsDqh5cA2W3z7KKSjWzHeD3xGKJq+lto+3c3PiJseyqyhh4QtVqFm5p/cSTPTCrh+njtK02KHm/nW3sbnby5muhUhmaDLAG+fcCAEvHq2gZFE3ck78C17lVLIVP3Tys8281FRJXtbK/ShWk4HnGsvZW5rD2S4vH14dzkjq4myXl0+vD6d3IuVH9OXUTUY5BcWaGJoZ4oY3eRLURHCCr/q/osxSwGFtYTnGJAw8O9qPNnJVr64o3p/6gsuMKVwrF/sm+Lpj4UpsTunUajLw0tHUbuTiHCuvHKukUHUpK+Lk2uY615cf1gN6ZdIje1zcXeekfdjH7y/04w+t3NF8qW9SH+a0SKp9fu5Cmt6FjUQ5BcWqmVsikgkjt6OxKKd6TmFA42FzUVIz0NO+Kax9Z6DkoC6JvZiCmiUHmq+VqwOTfN6+MMzvlieudGrVlU4XdyPXuey81JQqeKdQ2C3GjIb1gL7ufyxemTTiC/JqcwaNa8D1IR/vtA4QXhxdOIqh4uhaTV8TyikoVk3bWBujs8lroWeHzuKZ9fCgtQy7WDjh3jUboLTzK70RreHx1CSyZlxSPnitdAz7ONU2Mj/n/NrgFO9dHqTIYYknEJNP/Eeq83nmYGmKvpFCMYfNbIgPVspM/HBnsYOXjlYgJbzW0rd8GWqcTs8Mb17oJxhZ1Pew436wplbGbRTqW6BYFYFIgNODp5O2uX1uLnoustfqojZBp6U6FODwra91DaO9z6dKVmgGfZJU1vqNrrzQO84HCXOVL/ZN8FHbMBV5thSlU00IfrTbxQM7i1SFkWJFrCYDzx+uoLIgs3zT3HJkkcPC+1eG+O7Wygno/vFZfnduUUOc0bzuF07LoZyCImNiMsaX7i8JRhfC4dnILJ/0fkK+MYu7TQvVRI5wkCdunUUYzHDgpdR8gWbUK5DWadloNhTlDxf7+bzdQzQmkVJypnOML254qCvK5tlDyd3IZqPGM4dKaaxMbVZTKJbCbNTiJcyZDVTKthh54Ug5+8pyONvt5d3WwdRIYBHDUwFea+ljKpAgpFfYkLZ3YSPYUKcghHhCCNEuhLgphPjzNPvvF0KcF0JEhBAvbqQtitsjEovwUfdH3Jy4Ob9NSslnfZ8RiAR4xFKKKZ4QM0UjvNh9EUM0pDsEy6LQ12CCgy/pTTrrQJ/Xz9+c7pnvVJZS8mXHKKe7vOwpcfDj/aVJ3cj6GnFFSm+CQpEJRoPG0wdXnuI2f7ym8XA8Iu0am+G1FjcTK3RAe2d0hdXxmYTjXHtux+yM2TCnIIQwAH8NPAnsBX4uhFh8WdgL/LfA322UHYrbJxQN8V7ne3ROdiZtvzp2lZ6pHk5aSyiMjw4UMsZzfZex+b2w9zmwL9JsMVnh0M/XRewuFpN8e3OU3513z+vWx2KSj68Nc7FvgsaKPB7dW5zUjVzosPDK8UpcajCO4jYwaIIn95ewtyyztX4hBI2VeTzXWI4/GOHV5j56E/S30uELRHitpY8RX2DZ49abjYwUjgM3pZSdUsoQ8Crwk8QDpJTdUspWIMPZdYrNZjYyyx9u/YH+6f6k7WOzY3w78C1VphwOmOJDcKTkkf7rFE0Ows7H9TGaiZizofGXkFvO7TI5G+b1c32c6fLOJ5RnQ1HeaR3g2qCPEzUF3L8zuRt5R2EWLzdV4LCqOQiK20fTBI/tLV7VEmRVQRavHK/CbjHy1sV+LvSOL5tn8IeivHFO1+baLDbSKZQDfQmP3fFtq0YI8WdCiBYhRIvH41kX4xQr4wv5eLPjTTz+5P95JBbh456PMQuNH1nK5k+8RzydNIx1Q+VJKG1MfjFrDhz+E10e+DbpGPbxt2d6kqSv+7x+/vZsD33eWX60q4i7ap1JDuFgRS4/OVSOxahkrxXrh4gXKxzbkXmxxFwHdG1hNl92jHLq2siyEtzBcIw3z7vpHl1BYXWd2Mii7HTlHCtPpUj3JCl/A/wGoKmpaU2voVgd44Fx3rn1DtPh6ZR93w58y3hwnKeyqsnS9I9Q/fgAdw22g2tvamdyVgEceiWtJPBqCEdjfNHu4XKCmFg0JjnTNUZz9zh5WSaePVaGy7GwNCQE3NdQyNHq9atwUigWc29DISaD4NtbYxkdbzZqPHWglNNdXs52efHOhHj6YOmSfTLhqKRtcIodhZkluG+HjXQKbqAy4XEFMLCBv0+xToz4R3i3810CkdS1zK7JLq6OXeWQ2UmVUU+0lU57ebivFZlTgdj14+ReBHsRHHzltqWwPb4gH1wZTBqdOTUb5o9XhxicDLC3NIcHdhYlVRiZDILH95XQkGFCUKG4HU7UOjEZNb5oz2w1QwjByVonhXYzH10d5tXmPp46WJoivbLZbKRTaAYahBA1QD/wCvCLDfx9inXA7XPzx+4/pmgagR49fN73GYUG2/zQj7zAND/uPoew5iH2/1QvNZ0jpwwOvqxLZN8Gl/om+PKGh0iCDMCNYR+fXB8BCU/sK2FXSfKJP8ts4NnGMkpzb+93KxSr4UhVPmaDxqlrw2QwrROABpeDPJuZd1sHeOOcm0f2uNLKuG8WG+YUpJQRIcSvgQ8BA/BbKeVVIcRfAS1SyreFEMeAN4F84BkhxL+UUu7bKJsUy9M52cnH3R8Tlal11B3jHXzR9zkG4JGsKgxCwxYO8nRXM0bNiHZg0ck/v1qflWBcWTNmKQLhKB+3DXNzZGEJKxyN8UVcBrskx8oT+0tSJCucdjM/OVRObgZCZgrFerO/PBejQfDhleH5JsqVKHJYeOVYFe9dHuTDq8OM+kLcXe9ccXb0RrChQi9SyveB9xdt+8uE+83oy0qKLeba2DU+d3+eUgkRiUX4tv8brnrbKDFk8aitErtmwhiL8uPuFrIjIQyHfgm2hAoMZz3sex4Ma/94ucf9/PHKEL7AgqDY3BLSuD9MU3U+d9U6MSwafrOn1MGDu1xqjrJiS9ldkkO22cgn14YZ94dXfgK6lMbzh8v58oaHc73jjM4EeXJfCZZN/iwr9S8FF0cu8t3Ad0kCdwBTwSk+7P6A0YCXQ+ZCTliKMQiBkJJHei/i8k/q8hU5ZQtPcu2BPc+kSlpkSCwmORNPvs1dZUkpueSe5OuOUazxWQdVi6QGCrLNPLTblbEEgUKx0VQWZPEnd1VztstLS8840cUqqGkwaHo1U6HDwuftI7za0sezB8vIz157xL1alFP4gfPdwHdcGLmQsr1rsotPe09BTPKErYoa08Ia590D16idHCZY+yMsia33pYdg15NrnpzmC4T54MpQ0ljD2VCUj68N0zU6ww5nFo/uLSbLvPCxNWqCYzUFHNtRkBI1KBRbjdGgcXd9ITtLHHxybTipjHo5DpTnUpBl5r3Lg7za0seTafJmG4VyCj9QpJR84f6CtrG2pO1RGeVM/7dcGrtCkWbjMXslOdrCVcoBTzeHRruZKj1ITuWJhSdWHoP6R9Zsz82RaT5uGyYQXshn9Hn9fNg2RCAU4/6GQhor85J6D6qdWTy020Ve1uZdRSkUa6HQbuHlpkpa3ZN8c2uUYHjlft3yfBuvHK/k3dZB/nBpAC3eRb3R4o3KKfwAicainOo9xa2JW0nbp0PTfNT1PsOBMQ6YCzhpKcEQ1zMyRiM0jdzk8EgnY/mVOBueWHjijnuh5r412RKJxviyw8OlvoXeg/klpG5v2t6DbIuBB3a6Nu3KSaFYD4QQHKrMo85l5/P2ETqGU3uAFjM3/+NU2zBvXuhnb2kO/939tSs+73ZQTuEHRjga5o/df6TP15e0vWeym097TxGNRXnUVkm9Kd5oJiW1k0PcM3ANRzhAt7Oayt0vLEyDqn8YKo+vwY4Yre5JLvSOJyWTl+s9EELvTL67rlAlkhXfW+wWI08fLOOWZ5rPro8kff7TYTJoPLG/hMapAC83VS577HqgnMIPiEAkwHud7zHsH57fFpMxmvu/5fzYZZyalceyd5Bn0GWuc4PT3NffRpVvlFFrDr0NP2Jn4X4MwhAfFfg4lB1enQ3hKJf6JrjQN5GsGU98OM4SvQeuHAsP7y6mJFcJ2SnuDOqK7FTk2/j21hiX+iaW7WsQQvDgLtemlFkrp/ADYSY8wzu33sEb8CZtO9X5HgOBMfaY8rnXWopRaBhjUY4O36TR00VEaFyrOkpF1X3sM8RPyJoBdj+9qlkI/lCE8z0TXHJPEIokr6cm9h4U51h4cn/pfO+B2ahxV62Tw5V5SWqnCsWdgMVo4Ee7XOwpyeHUteGMRnduNMop/ACYCEzwTuc7+EILIwHdk92c6j1FOBbhIWs5u8z5ICU1k0Pc29+GIxygp6AKW90j7MlKELHTjHoPQoazEKYCYc51j3N1YJJwNPVSaLneg3qXnQd3FSlVU8UdT0mulV8cr+J87zinO8fSflc2C+UU7nBGZ0d559Y7zEb0Mk8pJefcX9PivUKeZuHZ7DoKDFZygjPc199Gtc+D15pD785HqXLuTa50yK+G2geT+xKWwDsTornbS/uQL6U+OxKNccszw9XBSfq8s2TFm3bmeg9ybCZ+tKtIDcFR/KDQNEHTjgIaXA4+uT5Mz9jy8xY2CuUU7lCmQ9NcHr3M1bGr8zpGs6EZPul8j77gGA2mXB6wlmGTcHjoBkdGOokKjd6q45RW309BooZR/g69wihv5STXyFSAs91ebo5MJ62RSikZ9gVpG5iifdhHKBLDYTVyoqaAgxW5ZJmNaEJwpDqPu2qdmAxqUqzih0lulokXjlRwbXCKL2948IeWH9+53iincIcxNDNEq6eVW5O3kiQrBic6+bjvUwKxCA9Yy9hjzKNmysO9A23khGYZLNhBTsPjVFnzF16soEZ3BrkrK5G4x/00d3vpHk2+uvGHIlwf8tE2MMXYTAiDJqh32dlbmkNlvm0+EinPs/HQHheFdku6l1cofnDsKc1hhzObLzs8tA1MbdrvVU7hDiAmY9yauEWrpzWpsgj0K/SLfV9yZryNHM3MC9m11EZi3Nt9jh0+D5PWHMb2P0mpc+fCkwpq485g5ZlIXaMzNHd5kyZDxWKS7rEZ2gan6BqdISahOMfCQ7tc7Cy2J2m5ZJkN3FNfyL6ynA1vylEovm/YzAYe31fC3tIc+sY3ZzlJOYXvMYFIgKtjV7kyeoWZ8KKpTFIyMz3IF/1f0RP0UmvM4WFLCSc93Rwe6UQKjZHqk7iq7l3QKXLW6c5ghZyBlJKOkWnOdnmTqiW8MyHaBqa4NjSFPxTFZjLQWJnH3tIcnAkRgM1soL7ITkOxncr8LFVVpFCsQGVB1qbpeimn8D3EG/DS6mnlxvgNIrGFxhcZjTI62U3PxE16/EOMRP1oCO61lvJUIMx9Pd+QG5plzFlLTv3juOYmoTnrYcc9KzqDydkwPWMznO8Zn1d+DEaidAxPc3VgiqGpAEJAjTObvWV66DtXSTTnCHYWO6jItylHoFBsU5RT+J4gpaTX10urpxW3zz2vaBqJBOkfa6d7qoueWQ8zUj9Zuww2jltcHIyZebb/JjVTI8xYc5g98DTOgjr9RQsboPoeyClN+zvHZ0K4x2fpn/DjHp+d77yUUuIen6VtcIqbI9NEYpKCbDP31Reyq8QxP1Iwy2ygTjkCheJ7hXIK25xwNEz7eDutnlYmghMAzAQm6Rlro8fXhzvoJYLEhEaF0U6NoZAjYUmd34fL30/t5DAIgW/HvTgqT+ozDpz1+jKRo2T+90gpGZsJ0T8+i3t8loGJWaaDC1GIPxRhdDrEwMQs1wanmApEMBs09pTmsLc0h+IcC0IIsswG6l12GlzKESgU30eUU9im+EI+Lo9e5trYNQKRAKPTA3R72+mZ7scT0YW0HMLEIc3O8XCUkzN+yv29OGd9GOJRRMBkw1/YQE7dwzisufHI4F5wFCOlxDMVwD0xS//4LP0Ts8yGokRjEu9MiNHpYPym308si6vMt3Gyzkl9kR2jQVOOQKG4g1BOYZsxOD1I62gr7ePtuMc76RnvoMc/yExMXxaqlkZeDGk8Mj1N0/Q4lph+sg5rRmbsRUwV1GHNqcSWW4nV4sAqBBTuJFZ1DyMyF/eYn/5b/bjH/Xhnwikn//GZEHO9ZgZN4Mw2U+3MotBuodBuochuwWY2zDuCncUOyvOUI1Ao7hQ21CkIIZ4A/h36jOb/JKX8XxfttwD/H3AUGAN+JqXs3kibtppQNIQv5Fu4hX1MBacYnR1l2D9M5+g1eia7cAc8RJFYJRwJRXl4eppHpn0UxGJEhcZ0Vj6+ol0Ec8qx51ZjynKSZzQRs+QRNDnwGhxMCwejxhJuTFu5+qmHwcne+ZP/6HSQQIKmu91ipNBupsaZrZ/8HRbybCY0TWAyCBxWEzk2I3lZZuqL7MoRKBR3KBvmFIQQBuCvgUcBN9AshHhbSpk41eVXwLiUsl4I8Qrwr4GfbZRNm0EgEsAX8jERnGBgZoDB6UGGff2M+ofx+j1MBycIhmYIRGaZjQaZiYWZJkJiz2JpJMorM34e8PtpCgQJWB0E7S5i1QeZzKlnOncPwzKPoYidkZAVT8jCiM+ENyiYCkQJhKMEw1ECkSi+QDcT/vD8oE2jJnDa9RP73NV/aZ4Vl8NCjs1EjtWEw2qcv59jMyZNOlMoFHc2G/ltPw7clFJ2AgghXgV+AiQ6hZ8A/yJ+/w3gPwghhFw8PX4dkVISkRHC0TARGSES02/hWJhINEwo4tdP2qFpgmE/wfAMocgsoUiAYGiGUHiGcGSWSCRAMOxnfHaM8eAEE+EZpmJBfDKCjxg+ATLNhbRJSgqiUZzRKGXR2Px9Z/x+ecSIlGV0Gg7zmWEX/z5rF4PRHHxegX9YEojESJYSCsRvOkKA1WjAYtSwmgwUZJvZU5pDtTOLepedGmc2edlm/YQfP/mr2QQKhWKOjXQK5UDiJBc3cGKpY6SUESHEJOAERtfbmH/16q/4XeAM0Q3oms2OzZ3cYxRHJfaogayIEWvUhDFiRYvaIJJNLGonEM1hmmymZBZTZDEgs/FhY0pmM0UWQfTRkjaTRpbZSLbFSHaWgUKLfgXvsBrJsRpxWE3k2kzkZpnIs5nItZnJz9Kv7E0GA0ZNYDAILEYNi1Gd9BUKRWZspFNId/ZdHAFkcgxCiD8D/gygqqpqTcbU2+t5cvwGAg0NAwYMCGFEw4CGEQ0jQhjQNCMCU3yfCU0zIYR+04QZTdN/opnRNAtmUyGapYiIxYE0OTCazBgNGiaDwKhpmIwaJk1gNGgYDQKTFt+XcIzZqP80GgR2i37CV0PoFQrFVrCRTsENJMpqVgADSxzjFkIYgVzAu+gYpJS/AX4D0NTUtKalpZ8//Rf8nL9Yy1MVCoXiB8NG6hM3Aw1CiBohhBl4BXh70TFvA38av/8i8OlG5hMUCoVCsTwbFinEcwS/Bj5EL0n9rZTyqhDir4AWKeXbwH8G/qsQ4iZ6hPDKRtmjUCgUipXZ0FpDKeX7wPuLtv1lwv0A8NJG2qBQKBSKzFHjrRQKhUIxj3IKCoVCoZhHOQWFQqFQzKOcgkKhUCjmUU5BoVAoFPOI71tbgBDCA/RkeHghGyCZsc5sdxu3u32gbFwPtrt9sP1t3O72VUspi1Y66HvnFFaDEKJFStm01XYsx3a3cbvbB8rG9WC72wfb38btbl+mqOUjhUKhUMyjnIJCoVAo5rnTncJvttqADNjuNm53+0DZuB5sd/tg+9u43e3LiDs6p6BQKBSK1XGnRwoKhUKhWAV3rFMQQjwhhGgXQtwUQvz5VtsDIIT4rRBiRAhxJWFbgRDiYyFER/xn/hbaVymE+EwIcU0IcVUI8U+3k41CCKsQ4qwQ4lLcvn8Z314jhDgTt+8f4lLtW4oQwiCEuCCEeHc72iiE6BZCXBZCXBRCtMS3bYv3OW5LnhDiDSHE9fjn8eQ2s29X/H83d5sSQvyz7WTjWrkjnYIQwgD8NfAksBf4uRBi79ZaBcB/AZ5YtO3PgU+klA3AJ/HHW0UE+B+llHuAu4B/HP+/bRcbg8BDUspDQCPwhBDiLuBfA/9H3L5x4FdbZF8i/xS4lvB4O9r4IyllY0IZ5XZ5nwH+HfBHKeVu4BD6/3Lb2CelbI//7xqBo4AfeHM72bhmpJR33A04CXyY8PgvgL/YarvituwAriQ8bgdK4/dLgfattjHBtj8Aj25HG4Es4Dz63O9RwJjuvd8i2yrQTwgPAe+ij53dbjZ2A4WLtm2L9xnIAbqI5zy3m31p7H0M+GY727ia2x0ZKQDlQF/CY3d823akWEo5CBD/6dpiewAQQuwADgNn2EY2xpdlLgIjwMfALWBCShmJH7Id3ut/C/xPQCz+2Mn2s1ECHwkhzsVnoMP2eZ9rAQ/w/8SX4P6TECJ7G9m3mFeAv4/f3642Zsyd6hTSTb1XZVYZIoSwA78D/pmUcmqr7UlEShmVesheARwH9qQ7bHOtWkAI8TQwIqU8l7g5zaFb/Xm8R0p5BH2J9R8LIe7fYnsSMQJHgP8opTwMzLBNl2HiuaFngde32pb14k51Cm6gMuFxBTCwRbasxLAQohQg/nNkK40RQpjQHcLfSil/H9+8rWwEkFJOAJ+j5z7yhBBzUwS3+r2+B3hWCNENvIq+hPRv2V42IqUciP8cQV8LP872eZ/dgFtKeSb++A10J7Fd7EvkSeC8lHI4/ng72rgq7lSn0Aw0xCs+zOjh3dtbbNNSvA38afz+n6Kv428JQgiBPjf7mpTyf0/YtS1sFEIUCSHy4vdtwCPoCcjPgBe32j4AKeVfSCkrpJQ70D93n0opf8k2slEIkS2EcMzdR18Tv8I2eZ+llENAnxBiV3zTw0Ab28S+RfychaUj2J42ro6tTmps1A34MXADfc35n2+1PXGb/h4YBMLoV0O/Ql9v/gToiP8s2EL77kVf1mgFLsZvP94uNgIHgQtx+64AfxnfXgucBW6ih/GWrX6v43Y9CLy73WyM23Ipfrs69/3YLu9z3JZGoCX+Xr8F5G8n++I2ZgFjQG7Ctm1l41puqqNZoVAoFPPcqctHCoVCoVgDyikoFAqFYh7lFBQKhUIxj3IKCoVCoZhHOQWFQqFQzKOcgkKhUCjmUU5BoVAoFPMop6BQrAIhxFtxEbmrc0JyQohfCSFuCCE+F0L830KI/xDfXiSE+J0Qojl+u2drrVcoVkY1rykUq0AIUSCl9MZlNpqBx4Fv0LV5fMCnwCUp5a+FEH8H/J9Syq+FEFXoctnpBPwUim2DceVDFApFAv9ECPF8/H4l8N8AX0gpvQBCiNeBnfH9jwB7dUkpAHKEEA4ppW8zDVYoVoNyCgpFhgghHkQ/0Z+UUvqFEJ+jD1VZ6upfix87uzkWKhS3j8opKBSZkwuMxx3CbnTZ7izgASFEflwa+6cJx38E/HrugRCicVOtVSjWgHIKCkXm/BEwCiFagX8FnAb6gf8FfULdKXSJ58n48f8EaBJCtAoh2oB/tPkmKxSrQyWaFYrbRAhhl1JOxyOFN4HfSinf3Gq7FIq1oCIFheL2+RfxudFX0AfOv7XF9igUa0ZFCgqFQqGYR0UKCoVCoZhHOQWFQqFQzKOcgkKhUCjmUU5BoVAoFPMop6BQKBSKeZRTUCgUCsU8/z8FIQXSydmjjAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] @@ -1171,14 +1196,13 @@ " feat = scaler.transform(feat)\n", " feat = np.hstack((np.ones(feat.shape[0])[:, None], feat))\n", " shared_x.set_value(feat)\n", - " ppc = pm.sample_ppc(trace, samples=100, progressbar=False)['observed']\n", + " ppc = pm.sample_posterior_predictive(trace, samples=100, progressbar=False)['observed']\n", " quants.append(np.quantile(ppc.mean(1), [0.05, 0.5, 0.95]))\n", " \n", " quants = np.stack(quants)\n", " plt.plot(age, quants[:, 1], label=education)\n", " plt.fill_between(age, quants[:, 0], quants[:, 2], alpha=0.5)\n", " \n", - "\n", "plt.ylabel('P(>50k)')\n", "plt.xlabel('age')\n", "plt.legend()\n" @@ -1232,12 +1256,12 @@ }, { "cell_type": "code", - "execution_count": 166, + "execution_count": 33, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -1250,16 +1274,16 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 166, + "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1302,22 +1326,22 @@ }, { "cell_type": "code", - "execution_count": 154, + "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 154, + "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -1367,12 +1391,12 @@ }, { "cell_type": "code", - "execution_count": 207, + "execution_count": 35, "metadata": {}, "outputs": [ { "data": { - "image/png": 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" ] @@ -1385,16 +1409,16 @@ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 207, + "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", + "image/png": 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kxUlT5Pl1QFOzxqwOxYtarM4rbhZ2dxHU4ORkRnt78rks0nhY+CxVR+nkpKFdJSrl4uIMVElxE0IGEUKeIoTMJ4TMI4ScblswVVhKyMSG+rxPTpo0lchwr5pmHxXZ7qz2hhF3noucfBu3HlnrhrKpJOfy76EY7g8AXqaUXkII6QWgn0WZMmPzI1N8E4q5k33qdvTi7Riwhagj1cl5a6f2Cqa3bbyli/vBlUbcDppKpIqbEDIAwJkAvgEAlNJ2AHZ8TKWAla92PzLFuR67UeQDOC4e8c2K/SPvHlXUPjJlxlaiogvq1VQyHEATgAcJIdMIIfcRQvpblisTWwUOZ59sXK0Ux+OTV+H4n7yS8DnH82HX3B71x9fWwXZcy+OvE5fzvbrzRvmcuFzUy080rhLeF72Tim/LVwKnr3FHuCZYtGEnHvuA7TxZxnZOXb3zzcVZRNJKq8yfxy9OeF8P8+SU1diwozWzHCq6N+w8OwzPuXeclvY9uOP1RejsFDeGiUs24415G7n3V26ptsk9nV2YtWY7M9z4BU1Yu43tj9IGKoq7B4ARAO6ilJ4EoBnAqHggQshVhJBGQkhjU1OTYTH5sBp0r+7812pcsVUp3t+OW4idrXvwg8emRa735MR97RMzIr/vfHMJbh+3sPL7gP69hOm9vWgTvnrfJADVEXHakcC8dTuE9/PS6zpjo+uemim8L5L54j/xPZYDQMMB/bC0Sc1xcRrO+91b+P1r8k76yyMPS1y74ZlZiWst7Xvwq5flHYzu4ZAbn53NDdPa0anUqZ36i9fVElWQxya3v7oQt49biB2t4s5qTxfFb0PtNM4fQoOvMdOSHuLDXPngZD0hM6CiuFcDWE0pnRT8fgolRR6BUnovpXQkpXTkkCFDTMpYU3a1RkfSvNHC9thIvCU2Aj9HwQv0jla2F22eAueZPPZIttW4OCIXIfPc3reX6lKOXY47ZGDiWjPDc7psV1RaM/0uiRLLi9497G9mK9eJvj27M++nycM2gTd4ANJOwiTSHKSUrgewihByVHDpHABzrUqlgW37VNpV5Uwf/k/EnT6ueqEe7PL18A4myCMXyu22XnNcdSjyAwCPBjtKlgK40p5IJjBXXLXctVFu51xbduqI0z5YO7KIXGSFWRTJCpxFmTBZ9kXawKWkuCml0wGMtCxLKmxXuPjqdtr00jyX9tUK86F6g3Jkdl1WAFTFKEjp1QUFKXrj1OXJSZMNVd1UEvudIc1EXNyTk+znZSK7uP3JNYo8yq81eWRNuQ3UQhfkQV0q7nrD+MlJF3VKpjWD/F+YfaJX7ZrHHPWavXWpuGtRWPHe2MiISxIFTyEVaWRgiizK1ytHOfU6C6vXmY/ziptVMEYXJBS1oElTSfxh817ePbZh5THrGqt6ycrHdV1Ua/Eppc7nofOKOw02Cs1GPSiPgvj7uNnP1eGA2+j2yiKR5b3qcWZlisp2wDo1TzmvuJkFI3tGoymrtg35gqA+aSuYbJaQ1/TRpF7JInEtvtyXZSZYr9P7WmDSBFQkz1LOK+406LSLhO2aF6f0gjqJyuZNJc4ps0y7ioxJUY6vWHmXR1mWlSzLG1axciMdzitupi2xBiWTODlp0O+lbkzFGRcUBMdaqmN9VKFhtUNKaSozU5FMU84r7jTotAvVsjLZ1pL7uNXCpY3fBYo0glVKU3U7oOE0ihBXEdIS2rjtJ28d5xV3Khu3lo/C+MlJvYXCWlCUkYFJObKdnCxQ4ajgmLi65Gm6MZlSQZoVgDpQ3EXFyDZuyedd0zaAotk8bVOTETdriq7sr7QGi6m5p2iXipL1u0qKCc+GJX5GnbS9bG2/DliksYEZ/AGc+iGP8hAlUQ8DF+cVdxps7CoxmaZqWqkbgIv11jGZs+wfLsLiut20ckuqLpQ0C+cVd7pKYP80h5FdJVQryQoy23JeVbko+7hda7xuSVtMynWP5ZSiHmZgzituFmYLJrY4ybU3m5Mh6ZRBLU0Pm6I0VFUxTI9+VQ6O5JlFuS5OGv38hbGoMuO84rZ9IjH58agUCeaM9BSnA+8Qx7XvcaubRRwsjIzksx2w1ArqNXedUtwvzlqXuPb0lKTXdlmPfsndE5XTHDd3Q+T38zPXMsPFvU+/GnsuLSN/Pg6f+OV45j0bjX749VUv31NWbBGG/ciPX8zNs3WWUdoagYxp8nD8/I14TbN831u8SdnuvaW5PXFtSdMurfRYnz14d8nmyO9Zq7fjpJtfxfbdHbl1bh2dXZi0TFyvZOiU2bSVSa/wR49+Ge0S/5EsZDOXddtbteNMi1OK+3uPTk1cYzXKs46SO+ZNy7uLN8sDZSRcLTftSjZiGac07C+Jn1/xwzbBL90l7uA6uyjO+e0EnHvMQcz7izfqKZtasH6HfmO78qHJ+PZfG4Vh4nl82X2TmOHeW7Ipce1/no56vP/UkUPwr3e+pyllUpa4svrCn97B1pYO3PriPOW4ThsurlsyxkxNDrR0WbBhZ+Y4Hp20MnMctcQpxR2G5b253BMP6NPTevrdu+kZvOIN+bD9+maWgad++/aK5s2xBw+IPmdwdLW7o5P7Li6c7MszXlaHyVo8290RVbANB/RjeoM3RWtHp7JN4Z8O3CdTWu2d2TO8k5VpmnR0skfcPUTt2tu4s8P8jnFlF4bblq2syqRIiyimcLtE9WCZAmyXqfLhIEcKIm1+dXOk8biruGucfhEWlfjf447vhIHwtwsUIb91YElr6zO9HnO4ktXOKm5Wz1huF461ceNYcaPmyQ3l4jJUrFQjzSLUJJvV2Stu2zBNJflVK5ujIGVTD3fELXksp3wymYprfU+WPGZ/xqH6dy2Vi2vloEuRnCWIcFdxM6Cxf/dWpCcnc8ogN5qAHdimkmLakSnVaTO1b10q+ZNWATuyNumu4nZlEaGChfrO9fJekCpW+ybuJkyln7sUxcXm5gNX1hOcVdzCXSV5nMyyGXlW+R087SnDtXfI9pEplqnEbgYUdTbAQmU3YFr9K3qsSErdWcXNwvVtgLqoenmvh3yph3coKjo5WwTFbbMTK5BuFuKs4hbl797eyOVe3nMSxCDWDsrYiZYZsfpHptI/mxaXqoRNWbsJjNxF0unOKm4WeZpKbJJ1N1hixB0LuLd3bGFsjd5M53FYTG2RTZ5gLUDdUSmztEq2SMpZRF0pbk8JV6Z7OthSF0V0kps4MKVqE0sJpbTQTh7ypEh2bBHOKm5WBqd1PFA0TH8SNKkI9OQpAtZGxgX8BkqRD0wVQTKb2aP5CaKa4azido1aVvgiK4Jak6/H8ZQdrXlRGGnmkw8m9KJNSf2I2zKs7K1UvhwUVRHKl/eWstfPS1WZ7DBsyWzgQ3NMskSb+wEcnbAZZTPxal0KhWajfRahzZdxVnGzqJeBpfGFrfhvBzPKnknDlglGfGxdL66Mwiglohqs9nXH6q6SAilnEfWluGP/1ju8Bp24XBcZYmv3R/HI+q2aFAnaCcvAiKlE6QBOupS6C55zcsRNCOlOCJlGCHnBpkCqiDLRwQFlrvjsqWJvO6DaNeazOW/fpBopZJXExJu4OGM0jc6I+4cA1H0c1YBcvw5occen+rYxdsCEl/isAhWAIu7+sEUtPjKlHrb2GaYiQVqH2XW1OEkIOQzAhQDusytONiqmkgJUrjgJZVpDEQuYPVKcW5xkDrnTJWa7vCjNr07kZSqRxsGpUd0EGrEoH28D1EfcvwdwHQB918iWqLXyae/swqotLQDS+cBjOTkue/eev36HWiScZJt2tUWDxTJLx8P1LsO+DtP6C5yzdrtROcq8MX9j6mfb93RxBwm72zsT1+54Y7FSvDtbO1LLxOLqR6bgmWlruPc37mxlepZnMWFhUyZZTNQnE/nDc/qd9aujeQ0apYqbEPJ5ABsppVMk4a4ihDQSQhqbmrIVrgpfPuXwxDXeAZyDBvTGyA/vpxTvsMH9lWV4bd4GAMCGkKfwk4YOUnq2X6+ks+MRwbNz1yoqbg77xpwlx/OjS6NyzV+nLkvc0er5xx+cCLMhhVd1AFja1My9d+qw9J7HZ67elvrZlVtasDOmiD515BAAwObmNtYjCY4/dGDi2u6OqNKnAAbv0yudkACmrtyGWwSe3E8dfgDW70gOJFgM2bd3ajkAoGf3qso5aeggZjuQMbCv3Bn4hwb20Y4XAO649CTuvbgTbhamBzo8eiiEOQPARYSQCwD0ATCAEPIIpfSr4UCU0nsB3AsAI0eOtNLtHLhvb5x99IG47UsfAwC8Mmc9lm9qrk53OalO+vG5kd/Drx+LLgrM/ulnsU/vHjjx5lexraUDd3zlJFx0wiF4efZ6XP0Iu586ZGAfrN1eUj7xjuKXXzoe/37K0MQzn/r1+MS17oTgyjMacNMXjkPDqLEAgMP26xeJd9Et5+OIG14CAMz/2efQ2UVx3E2vVOLgZnIQweQbzsUtY+di2iqxclp+24W48ZlZeOT9lQCAc44+EK8HI9F4Gh8Z0h9HHzwAQ/fvh7veXFK5PrBvT7z9P2fhYz95FUCpYxrEaGCsvFqzbTfOuO0NAMCZRw7BX7/58cgzw64fK5R/+JB9sKSpGY03npu49+z0Nfjh36cnrk8bfR6+fM9EYbxykkfFy0qlfPnBK0/BPROW4P2lWwCUtpstvfVCAMD5f3gbBw3gK5jvffojeKJxNSgtKfjxC9IPiMpy3nX5CPy/5+agaWe1YzlkYJ/K/Wf/4wyccDh78PHNhyZj4850HS+Lf3zvDDw3Yy3+87FpuPBjB+PPl41IhDnyxpfQvqcLc2/+LKav2obL/jJJyQ7dp2dUyS78+fno1aPUaXzt/kl4e9Gmyr1wfT/h8EFYflupfG58ZhZemrW+Eo41Gv/ghnNw4L59cN/bS/HzsfNyW0+SjrgppddTSg+jlDYAuBTAG3GlnRcU0d0kBFEbZdlupTqgjBdD+bdwx4owPr1pFi88rdwPhSX625HK4RO7FCT5E04nucNB8Bzn72jaNLhPmGFZz8lfm3LzhtfIy/mZeWbL25IZXCeIvSuJv3cygnKdDpe5rpi8POPlE6Xi+6I4deCZElTi1mlf8WQiekOjIYWjUTGD5GXCdXAfN7sRhFHNu/jj5d+6FTSNXUtlu1i0kfO/zSKKJ90qufiZ5NcHKTMtYa5oiiXtbLSvk8yLTSqfXyWECDoVcfxV+WxvB2SlyQlbgIXtNNsjRYMDbvlAvT7nvRtFxVRSgVL6JoA3rUiilH62+5VwhmWoXNMoO0qTo8SyAuR/DE4tgfBoD0hWdFnFj4641YbcyU6Q06kyno+Ohlj37SmTLHukqfB5tZEluz6VO8JQGWZUmDRUSVkyKG2xs6CbVAc9BPwOkBmvoc5OJl8iN/2Im0VU2SU9vQT/alQG1u+0vafYuYN6+HKli5tKeOG48pDSG2mbSiJpsOOVPSdLR3eELHpXSgWjJkFCJkwl3FlP2FQikE008worbVP6gG8qocL71XCGBImh1eZSyBCZvSaS4pvTIskq1Oe8PgngmOKWKzOtuFKYSrJO06rxyK/FOynV9410XCnyKLWNX9CpJsOKzUCRsJK4RHFwrxsYPaodvY7buEP3eGsctBrY1ChXJKq6qS+7MFkUv07qCRt32ngUw+V9bscpxS03lahlcyFGDZAvFMlQHTnrLDCWnqsKxjRtKDxXSif5sHxhVN3EIkpHFUtrkxrH2/khIyPujJW2uijMua8aTyYp+Mg7ensy8G3ccZIp64zKTeKW4oZ4xJI2z+I2Yd3voKQpLPbJusg/seldupVw9qImowJyRoUJ+3jaLTux+HRmTirTd11TSWkGQzLbx3n5Ua1ThFtneaaSqJz8l9fpsKIL1sl7SrtKch5VJtNP1wZKz6aLR5V8lpGruKW4KeUqmNL96L8yuKYSRVNBxabOUEYyKChjFwb/BVTNLeHHdepnOGw3wfAm3nny4gjLoRK2cp0TXjjVFzzHvU6yH2AW2Z5VbMas9YfI/eBZGtsvnkbvlL9hLfIcVZJJHLnpk4HGBj0Sktsw9dMSlxUJwngbNxO7vX6wOJmySWvvs9aMSz9+EizAxUbNWQST3xaGkZlemO+tkKJov7YYuw2tPLKPXKj8LbPtm7dxE/DyU54nvopYAAAgAElEQVQPJkThzRJU3lMrL0QmqPiAjRtOod5x4rSNU4pbVrUqB3AUG2MaBc1a91PpZFV2dvCO7APsisGdpoefU5BFRDxo5l0Ywb+6FV1o404zAgtkyGQqoYJdJapxCO6FD1Bl3q0gXCNIN0urFbm6mwsVsEqq3lTCgNL4gIVhrEN2U4mqPqexf3VO71FBOvH3LMeh3dFUptrM1LmETSXsfdfy0S1/kbFsVuKMQlnvKLNxi9Uf/46CjVkG/9O61eQjEsQ6ftnipM7gQET5+zS8AYBKh2plH7dGCeiZItVjUt+tJY/RL05ySGurUopbKV5RQ9OTKLG4GrFjyuPi7yGu3kgzqhSlLGpoyfdRn67K0Dk0pJpO5pOTSuaFDCcnOR1vKruwappSG7d+2mF4H4c0ZAVRwuSW8Uo7zXmq4pTilhn+4yNgGVmzutrLZmhJkUtiU4+2jZuwG6J8S15Spsh9hee4Wx1ZzwkWnEXpCSNVJMtiEqX8tE1N56uLXox7GjXYxKljE9+j1vkyZSnN0N86ClcjGdW9/ipl6g/gMIhnSdY9lPGV4PJv0Wg3ssoskUeePj8N1i3dZlPpWOJb+hSfK8sSl00VVlCdU5vSyEK3dHepEGLKVCK+QeKmkrAMUN2pkF0hVHc+sWcAlfuZzFIKcmjWJ2YdUkpHbIJSRrG+VuL0phIGVDyq0/06YBxNE3dYLG1Eh1NEiogVXnQ9zQwu3HExk1BQkrJkxUeQ42HFeRzfJspLJ3FPnCw3rehvTrhQGvw1AaKsCE0ezY9Lo3rQ1oQ1oItjK1HbW23GHMFd20qkxjdl8uL0i5Mcop8DzVaQyQXA6L8s0owiWc+xRtXhMKx3Uz04UB09safZ0i15orgVRojisGLTS/rtgJzrkuey7iqRIdovLu/cgnQMqIPwYmmiLsb2iSvFk1YOzfhYeaT0eVVhnObt0Xm7NXNKccuKqzpiVatdptcTVD++JEtfuREprJ2zRqvSih+2cUtOWXIeE+wqSYZViVskcxpdQlCyleg+m/x8ADsGE4qwYtagJkw6ZVMJRxmW0xQt5poYcXNemBd1ZDBjSTfqHrgTPet3lTCIfwqVsxswvamkPOIW7I5g/62foGjkTsE2cqvW2+j769f2yHZA7adDcoh2oETKUSyj1O7KWROQPZvKVBL5mz9SDduMRbtKZNPvyrMmTSXCmZE4V7LqJRPOmdVs3Px7qh1AUinL67NfnOSgY0eVxhUrmepnXfXikY0i2c/w7bKqcanuDkmOEllhwyYotXhF11VGUDpxy9+VZ0cWP2f7iDIJ/X/ynqTDCv41IWF1HzdhnqRVyQcT5oD4pwCk9YHzdxaSJyf5Mat/IjpfCqm4xy/YiIcnLk9cl5tKKF6evR5PNq4yKs93H56Cax+fjtaOTqYMs9aUPJCLlMTzM9ZiyoqtAICmnW3ookBHV9zbOo38E4cX/3uLN+H+d5bFYwEAdHZ1YdOutoiTXlld7ORsnensolizbTfWbWc7lg0rz83N7Xjk/ZV4efY6PBEqj2onp9FRAGjp6MQ3HvwA1z4xPeEpPpWpRDASDvPwxOUYv2Aj3lu8Cfe9vTTSkG8ZO4/rxJiXx+2d0TKnoGjt6MSP/zELD09cjn9MWx2VMcgdnZFc+54ubI55bQ8vloow0dH98fVFmLZyK+f50r8J/40amu/HY2ZFnPL+4LFp+OhNr+CO1xdV01GPjktYpDteX4TpDN+tOguYJimk4r7ywckY/eycxHVKYxWLMeW7+pEpWL65pXLtvq+PTMTz5NWn44rTP1x9rhJf5J8Kr87dgDHT1uDpqSXHrUP3Lzn1LVe+a5+YofReX7rrPQDAT54vvdtrc0te4h/8xikV+cvylF/thMMG4qiD9mXGV5b7svsm4WcvzK1eDynHslPUG/4xK/RcKcBRB+2Lp64+PRFvwwH9ceigvpGwAPDBspLD23cXb5a+a5mrH5mK656amUhb91DK3yatxJsLmjBm6hpMXr4lcq80e+HEx7hz0QmHoHePbtLteAAw+tk5uPLBybjsvkkJZ7CTlm3BNx+azHwubDPmKsPAVPLc9LX426SVGP3sHFzz+AxcdeZwAMC/nHho5f1YcvKU+WvzNiTDhoLeG2sT4aP7Qv3JWC9h8dtxC/HFO99j3quM/IPfFx5/MC44/kO47rNHM8P//arTcPmpQ0vlFWTkuu2tuP/t6kDl+RlrsattD24ftzDx/JB9e2PE0Kjz40SdIMBv/u0E3HjhMYnny+97+7iFePDd5QCAa849MhEu710lWq7Lak38i3qyTjrs2TnMKQ3745SG/RPXSeIPNid/eD+s3NKS3MetOGyouCgLfp919IH46KEDIvfLcT37/U9U49e04YSDs2yLP734OIxk5EP/3j1w5+UjcPGf343uWzc4nOD1vyq7aZimH4FyjHPLFz9a2u2RYrUrnvaeYNb0q0s+hrtDXu9FrsLColEkFfAB/XsBKJVDGoUgs+8ed8gAwf1s5jtVysn07dUdd15+MjfcSUP3w0lD90ukL5uBlPP/tWs/hYF9e8YST4a/5OTDuDLG+cIJB+N3r0U7icrMKKchdyFH3CIEA+5kWM2aVjmAI7F5Zbat83ZORGSRx8P/yFT1OjMa6c4Oeyv4tuq1ht6O7VPPJpDMBCFbnAT4eWJrFMf6nLByPmRdJM32uDYqJ3FFVZ25dZa1mJOzkdspxW3i2K4RKg0umqBoSiy7LPM6YxKdBULTslSm5LxRtkJDS0aqJ0O4rem+X9KxREaRmCaQKpUFSkMFwfsEgoqpxIQDAtYahyq2BhP89LLPyGzhluIGIGrj8Ualm+2VBi14kIKxsGKIsAlFJQVeHWFt/WLuxxZOi8uLYrZIn4csr/Wi04nJa9F/tdLmjo5jkYUUocgfZkl2TpyV6be5csg6SzVWH3JSwrIZF+t3qji1YsiOU4obiO1GkO7/TWcTlj1lo5DiB2VMjG5403TWqDfynOBeVphTcvGAWynDNSc7VXkMaSK+qUT+dUDRyVYbbrbCabPS5D5jRRJ1TH1US+c9mB9ZI8m/bZUTD7cUdxFMJZTf4HThLbSaOn4c/qBQOKi8MobNNmYzVdppKBn32XGqUtmvD/Vvhehi4hsk4bKz2cFEvsctUWuZnRaHTnDmgY4XG9XrIryphEF8Wpk0lURRzviY3U06kk+xt1ZJjMp2wGwLoJHvcQti0jXHmHxbrUVmSVyJbaKSuCvXjJpK2OFEs5fyLCtpZUkuLps2UYgWU7mPmtC2ko5bhM4zqqd2pfEwJ4gM85tCuiZxS3FTcYPPOhpQsX1SAN26VeVJA9tcUP1uBlU1cnMqiWxUKx/1mptVqEA4f1flkYwCIfg6oHQEKRGOkRYzHZ7iJhIbN2ePdjQuarwgorMq9baTVQrT1Ym7s0qw2Bq/prupgBUkz/YCOKa4gdiUXpKz2tsBY//KQ0bhjsY00tZ5RiXObowKJdksGNzRsCdqyFRVaBxlpm8pET4nGnETTlxp4O3jLX3MSl22UhyRCIxSNRPF0lR6NjtM13UWYZd/trotnMXlhFOKW1a5cjFx06q5Jq/RAz8853rob+VPwXKTVpNJt95GZ07ZOuDUNm6DppIg4mo41fgEckRs3IrxpSFaXyRhMwoim+2ZQkdM/oBbYQiX2BOfD24p7viHmSQr49orvQqmknCyyfTUkmFN46J7p/nb23SQOuwVLBDamvqpfIpWP069+CLvrW0q4aTDMdsR/oA7CKewA8KgpYRlDqSKPYPJnRNpYhLtkKr+Zsx4sqStmO/+5KQE0eJk5rgVjCWiEZLJMktrMojLwVrcorF7adNPA/sAjpjEtJ65RMDrhfiXbO4qiaSnscc8ch/pjuWL46zGHSbufIOHqZOmtqgs8Gv05lnMdmnCmsApxS0v9Hx6u6y7SnjHcMMfmcpC5KP5lZEz08jNli8Sl1kqnYZgtK8dp66phFRNJdqLk4YX8Vjhkp9dZR9JNzVQCH9XXNiZm0muFFeKcmae+pSmo52MXA7BoMObShjId5Xw7wnjjT0jOslGKXvBTwfmqDO2yq8ivnQfNxE3ENFII3xqzwY8z+5s04YsN/S+DshKVxW+qSQ2go3sKuHJBmEGh581ZyoJrcwy4rZt4zaF7Hs/wu2AsWeFpizmmQfBjNzvKuEQObRidmFAZigpj3z0T2SyGzUr/vK/WabI0u1ljEMQvO+uhCuuiUppwgbI+l6I1q6SSFyaaSvvHKrunpDt45alYXI3IENvl9JQejh7+ioje27y4c6GuxVW/iaqTUtHxmp79TZuJqIRNy+cctyVKbTE9pixAsuUCes3C+lCHyGV2UHkOcnKPrG4WasicWSULR5yq8iiYeIOKa+kN5i0CPfE856RxSmINytRJRhWqBIbd9ZdJciguVnxSfZxs0gkLZCFfQAn9DenI7SNM4pbybOz5c6ubCrJuoLMHXGrLKyoxB/6W/kb4eFnONNok2Sp6IkRqW7aIRu3fuKKwTKEi1+ilJ1sqtOHEiHEg6Hs6ilLfVI5wxGPPkvHx1wfklAYUwkh5HBCyHhCyDxCyBxCyA/zECwO2y4cCxM+WpJm8UPSe8a9t2T+VknMzhtenFTaVaKwrUS0hUrF/mt8cZK5IyT0N2v7ltTuKjg5Kd0loQf35CTHbCdaZyBEvKuFEJJ5kJCMM/iXs6skL7J2AXxTiULascSF399XeD58La9cVPGAswfAf1FKpxJC9gUwhRAyjlI6V/agDaK+Cs1OUCo2btHUCdkrHTvtNMYSQXzxTo2xqUQ8srZrLDGxBUvlubwW29KYnbgDhMSMwrw64JtK1J5JS3V/e4qBVZpdJayBgGLdVlmgD3+wLE+kI25K6TpK6dTg750A5gE41LZgCTlUwoRXxy3IED9xl5jSZt7jGixOZpyOR80eaRpIOA07YwjN5d3Ir2S+p5TB4tZDE+Hs2LglESrMboxIkXWdiGsqKbchdTmFAzVGPGIPWcrJZkLL5yQhpAHASQAm2RBmd3snvnp/Neo35m/AL19agMtOHYrLTx0ayFANv6O1I/L8WwubKn/vYTlZ5CA7SVjmx4HD3bXbSh7Tbx+3MOKgVKXQGkaNrYYPqZyZa7ahtaMrcl/GBXe8jQuPP7jy+7+fnIGnpqxG357dE1XrncWb0LanE0fd+HLF52B0FB41r8TzonH5FlzzxPRqmNC9v05cgb49uwtlPfs3b2Lwvr0rDod5NIe8d5fZtKst8vuKBz7AMQcPwHnHHIg73lgMoORUmYWoSLc2t2PWmu1obtuDLc3t+P1ri3Dbl47H5GVbcPdbSyP1qcxJPxsnTOeFmevwwsxqGRLCF2LjzjbMWbsDo8bMilwP+zOcv34n5q/fyXz+xJuTsnz00AGYvWYHO8EQLe2dlb//GOShCmu3t2LU0zPx98mrcMnJh+GpKavRp2c3dHZRHDKoL/70lRGVsOW6/K8nHYr+vXvg4fdXKKfDIr6r5LaX5uPuCUsiYW59cT5+ctFxWBE4DBeZNVTS66LA8B+/KH2+fO3FWetw1IfYzr1Norw4SQjZB8DTAH5EKU3UDELIVYSQRkJIY1NTssKr8Mz0NZiyYmvl9zcfasSCDTtx03NzmKf9Zq7eHnn+1pfmp0q3uVKJS7Fvbm4Xhh87ax3zus7OhtL16p3Wji5hmiqyPDVlNQBgd0dnZTQZdpb82tyNAIA5a0vFt3prCzPOs44+MLF/+JK7J6JpZ1WBXv3pj0Se2d1RysP//syRePyq0xJxLt3UHFHavLWKNxeo1Z1563ZUlHYiEkgvAwBmrSnVnycbV+H6MbPw9NTVeH/pZlx23ySm0hYhKnveCK2cvm6cImRKWxanaDS5akupvvx98ioA1frW2tGFjk6KFZtb8IU/vZN4bsy0NQmlfV/M07wKkd0cIAmlDQAPvbccADCoX8lBcA/GtqqkjTs98XWxP7y+KENs6igpbkJIT5SU9qOU0jGsMJTSeymlIymlI4cMGWJSxpgs5uPcP/CqnffWnjyOybK2A7LSDzfYnt26Sc0IA/r0xCePGJy4/v2zj8Cpww+QysVbq+hKOdcULLOmis+UBKzZi3KMFiqILEbhrhKD4gwb3D/T83Iv70C/Xt05eZhx/Yh1LV8Tt9KuEgLgfgDzKKW32xeJjU3bUc55ngvldwr7x0xWLvko1dZug7wrukcN4eJkjVuKTp3R2USgO1MuAioj7jMAfA3A2YSQ6cF/F1iWK4HqR3DSEB9p5+0/rlaoHGDKY7HFRHan3VViCn46tVZ3UbLUbZN5abuNlU7Tmt25VI1A+aI1pIuTlNJ3UOzOxwDl3SIk9MttVMw+Itu7SuXOpAS4cRqOT+VZA0pE9D5FGgfITSX5CJtud4q6bCL3f/Hr3K5VIy8KZyopClZNJQVqWKYoV8aIqSRFPNbynTD/9NQYUVl0c6ihUFsHLhBbn6lRljijuMvYzKiqqcRwvLWs78LFJr5xr/rp2lRR507ab15bTx/FMpaYOAJuglTjbc30VWd1JmzceZewM4pb9SM4aYgr7CI1tNQovAJvx0l4em/vAE541GLRVJE55ozpEzWzU1FwRVa1o+28zjTjrhLG43mvizmjuMvYyJ+4ws5vQct+QmHlXKSZRF6y1HpxkuQogwpSB9sFHrToSCYacKiOuFXk4Dlfto0zitvmR3BMVVZb3lTSUJlFiHY4K0wR8zCVFFdV1B/ZOltzJWV7t5Lqh9pkcRQVdxS32c/4Msn/AI69lCrvItzyp6DUC/hZV3Z8dqbFyukLR/wOdU3C+lJbVNsLpVToRSp5Xe/NWHL4XSUSbJpKqhcMxSMLny4ZvTRSJFKyy8ofzLYn2PDKfK1NJYKOo0imEhl5nZy0Sen75XwvUka91SsMkGzgjOK2OW0xlefaphJD6bJQGmly7N9RUwlfyiymniIpgSLJYhv5t0rS3dMljelT1YQHQNlvK1DMAZcMdxR3+Qt+FrMt710leaQi2nur0kjzOTlpb1dJbhAwtQkhBZDNEK6cKKYwY+PWoXDf4y4KrI//m6J6YjLfXSU2yXLyMbIdUPB8Fp3Otz+my/ya7yoR3StQfZLuKknZ0eeBaj5WZ4L8+h35nUEOkvgjH5xR3Hlga3Eyr4+rh1F5B/GI225NNL4dsOaLk4JOsOYqT53cJLW9q0TBa03aSNhedfLFGcXtj7ynQziC4m4HrN6oRafjsUeR9t5rp6+oHgMfOMry1vq90uCM4i730PlsoavtFjIzcZciF36PWzCVrJpKRIuTqcWD6TFKUU0lRTs5KV2cFO4qMfciNscDlIoXJzO/RmRRn0T+zQt3FHeAjeyp1clJm5DYv8wwnJ0ksudMUKSTk0Z2I3JnL7W3DetQZLNOJI8lo4bSZ1058SR+swPqdC7eVMLBhZOT9Yg3lajjQlZlqeuutBIa/M9Wuy7CwM4dxV0xlZiPO76J3vjipCRdKyiYfYTJ12hXSfr4arw4KTQ7FaClB2QxlZj8rKvNAUHFVKI4C8tk9zcQRxq0vLzb5vqYt+swZe/a67a3Wku/7O+wm8gwnILFG3ex00vnH1iJna0lb+nhN7n6kamRMOH37N6t2oeHd0KMfmY2Rj8zm5mGrkPdMLx2W3Y6rMs7izcxr6s0qNHPzqn8/bX7P0iVPgXFsk3NyfRBsHAD20u7a0xZuVUeyCLhsrxD4Jn+6NEvC+MJe7gHgCVN7PY5efkW5nUCYPA+vbFpVxvzfh44M+Iuc+9bS43H2dxWKsiysjvukAHC8N/6xDDmdd1BRGtKJaVD2x5+73DCYYMqf//ovCMqfxMQHBA4UGZx/xVyD90s79phOgRymWRg356R3zdffJyVdHij0SH79sZ7SzZbSTMN7ZJ8792DrxKadppTVAcN6G0sLl0mxAYc7y5ml8/7SzmKmxDcefkIfPdTwyuDn66c7WTOKe7B+5gv8IYD+gGoTt96dhNny1lHHWhcBlscvn8/7r0e3avKZkCfqIITzTrOOeYgabrfOXO48H6fnt2lcZigV/dqWX700AH4+ukNVtKJdxBlumecvf3g7H/K9LwutXY8YfoZFkMFbUKVjw/bH9eff0zl9yBO+dvCOcVt08ZdOVaf0g6oLVoObSTdR6bMy1Erav097uzx1lFhFAQbLtjyduvmnOLOg7SNRXu2lMd3QFLeqxdqvTiZPV5PGVN5kVXHsh73XweU4CuyHqlG3CbSldx3YeucDrYarksOel3BxizGK24JVkwlgZpRVSYuNSWxswSX3iQljptKDG9wchpTeWwjS72pRIKVKalulA41prSOFOqF8Ku4eJjI9NZUF/PANFmzlNU8vOKWUEc6JRfS2LjzyGKb/jbD5FVd6vmUXlEwlcc2BiZ5z4ycU9w2qcfRSK1Gz0VUOEWUSYbpDsHmpyNcwYaS9TZuCTbyR99S4o4GSOND0EUFxyPccbnYMXsbdxVznU4RtEg23FPcFrVKPY5GXOpkbJCbqcTvKrGOqY7Xj7jrBG1noZzwunbbWncTeXjB5pHXu7uu90zL7+Kso4yx8bbjdQLwirvuqdVUe28f6Zuinnb4ZMXUgraNuul3lUiwmj8Z64VuI8ujqPf2dp/fyUk7eBt3FWOmEgtaL+9i8oob+o2bF7qIppKijthcnrLniemRnM92O525t3F7jFIrtV3Q/sI5/Ii7irHOvgCDv6w4p7htZlBdjkb28obvvw4YJa+DTzYo8q4vP+KWYHMrj2qdLqr5gUWtFgnleVncRlgk/HbAKg73OcZRUtyEkM8RQhYQQhYTQkbZFspjjqK2+/prhP7IuytYOX5TtBE3IaQ7gD8DOB/AsQC+Qgg51rZgHjP4du82psvP5f6yyLLnPQtXGXF/HMBiSulSSmk7gL8DuNiuWHxsTB0rphLFquHSKKhWshbZHrk34/JMp8j2+SJuBzwUwKrQ79XBtZpgw1dh3yBO1U6BF07Xv6DIMasp9umdry+8Mj27i9+NN0Lp2d1sEwiXlc38trX7Q5aPuri8S8XUoG1QP/NtIqtvUV1UagVLokTXRwi5ihDSSAhpbGpqYjwi56ITDpGGeeyq0yp/l72Nn3tM0nnvb/7tBOV0b/vSx/AfZ30Epw8/oHLtguM/hG99YhjOPjoa97EHD8CIoYPw2HdOi0eDzx33IWb8I4YOYl5/9NunVv7+23dOjdy752snM59hvSuL7336IwCAyz4+lHm/L6MDvPzUofh4w/6V38cfOjARZtjg/pW/R3+ebzH77pkfEcrHy5MXfvDJxLVv/HODMC4A+N2/s8u7V0hZ33/FKZF7d3+VncdpGDa4P/7lxGj9vfurIwAAz33/jMq1uy4fUfn75R8l37XMVz5+OADgolCcaT3UH3HgPpW/Tzy8lO/f+eQw7XievPr0VOnH+eE5R6R67sMH6Dn5LedhnP84K+qA+aUfssvh1WvOTFz75BGD0a9Xj8T1A/ctOTE/88ghWjKmhcimH4SQ0wH8hFL62eD39QBAKb2V98zIkSNpY2OjSTk9Ho+nriGETKGUjlQJqzLingzgCELIMEJILwCXAngui4Aej8fjSU9yzB+DUrqHEPJ9AK8A6A7gAUrpHOuSeTwej4eJVHEDAKX0RQAvWpbF4/F4PAo4d3LS4/F49na84vZ4PB7H8Irb4/F4HMMrbo/H43EMr7g9Ho/HMaQHcFJFSkgTgBUpHx8MYJNBcVzAv3P9s7e9L+DfWZcPU0qVjl5aUdxZIIQ0qp4eqhf8O9c/e9v7Av6dbeJNJR6Px+MYXnF7PB6PYxRRcd9bawFqgH/n+mdve1/Av7M1Cmfj9ng8Ho+YIo64PR6PxyOgMIq7nhwSE0IOJ4SMJ4TMI4TMIYT8MLi+PyFkHCFkUfDvfsF1Qgi5I3j3mYSQEaG4rgjCLyKEXFGrd1KBENKdEDKNEPJC8HsYIWRSIPvjwWeBQQjpHfxeHNxvCMVxfXB9ASHks7V5E3UIIYMIIU8RQuYH5X16PZczIeSaoE7PJoQ8RgjpU4/lTAh5gBCykRAyO3TNWLkSQk4mhMwKnrmDEE33PpTSmv+H0udilwAYDqAXgBkAjq21XBne52AAI4K/9wWwECVHy78CMCq4PgrAL4O/LwDwEkrehk4DMCm4vj+ApcG/+wV/71fr9xO897UA/gbgheD3EwAuDf6+G8D/Cf7+HoC7g78vBfB48PexQdn3BjAsqBPda/1eknf+XwDfDv7uBWBQvZYzSi4LlwHoGyrfb9RjOQM4E8AIALND14yVK4APAJwePPMSgPO15Kt1BgUvcTqAV0K/rwdwfa3lMvh+zwI4D8ACAAcH1w4GsCD4+x4AXwmFXxDc/wqAe0LXI+GK9B+AwwC8DuBsAC8EFXITgB7xMkbp2+6nB3/3CMKReLmHwxXxPwADAkVGYtfrspxR9T+7f1BuLwD4bL2WM4CGmOI2Uq7Bvfmh65FwKv8VxVRSKIfEJgmmhycBmATgIErpOgAI/i07kOS9v0v58nsA1wHoCn4fAGAbpXRP8Dsse+W9gvvbg/AuvS9QmiE2AXgwMBHdRwjpjzotZ0rpGgC/AbASwDqUym0K6r+cy5gq10ODv+PXlSmK4lZySOwahJB9ADwN4EeU0h2ioIxrVHC9UBBCPg9gI6V0SvgyIyiV3HPifUP0QGk6fRel9CQAzShNoXk4/d6BTfdilMwbhwDoD+B8RtB6K2cZuu+Z+f2LorhXAwi7ZD4MwNoayWIEQkhPlJT2o5TSMcHlDYSQg4P7BwPYGFznvb8r+XIGgIsIIcsB/B0lc8nvAQwihJS9LIVlr7xXcH8ggC1w533LrAawmlI6Kfj9FEqKvF7L+VwAyyilTZTSDgBjAPwz6r+cy5gq19XB3/HryhRFcdeVQ+Jghfh+APMopbeHbj0HoLyyfAVKtu/y9a8Hq9OnAdgeTMVeAfAZQsh+wQMIe8oAAAFNSURBVGjnM8G1QkEpvZ5SehiltAGlsnuDUno5gPEALgmCxd+3nA+XBOFpcP3SYDfCMABHoLSIU0gopesBrCKEHBVcOgfAXNRpOaNkIjmNENIvqOPl963rcg5hpFyDezsJIacF+fj1UFxq1HoBIGSgvwCl3RdLANxQa3kyvssnUJr6zAQwPfjvApTse68DWBT8u38QngD4c/DuswCMDMX1TQCLg/+urPW7Kbz7p1HdVTIcpQa5GMCTAHoH1/sEvxcH94eHnr8hyIcF0Fxpr9H7ngigMSjrZ1DaPVC35QzgpwDmA5gN4GGUdobUXTkDeAwlO34HSiPkb5ksVwAjgzxcAuBPiC1wy/7zJyc9Ho/HMYpiKvF4PB6PIl5xezwej2N4xe3xeDyO4RW3x+PxOIZX3B6Px+MYXnF7PB6PY3jF7fF4PI7hFbfH4/E4xv8HvYzbQQWNUgsAAAAASUVORK5CYII=\n", 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" ] @@ -1443,22 +1467,22 @@ }, { "cell_type": "code", - "execution_count": 201, + "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 201, + "execution_count": 55, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", + "image/png": 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\n", 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" ] @@ -1485,17 +1509,19 @@ "distribution = np.array([50, 100, 10])\n", "gen = generate_path(distribution, 0)\n", "path = np.array([next(gen) for _ in range(1000)])\n", + "burn_in = 200\n", "\n", - "(pd.Series(path).value_counts(normalize=1)\n", + "(pd.Series(path[burn_in:]).value_counts(normalize=1)\n", " .reindex(np.arange(len(distribution)))\n", " .rename('approx').to_frame()\n", " .assign(true=distribution / distribution.sum())\n", ").plot.bar()\n", "\n", "plt.figure(figsize=(16, 6))\n", + "\n", "for i in range(len(distribution)):\n", " # cumulative mean\n", - " plt.plot(np.arange(n), np.cumsum(path == i) / np.arange(1, n + 1), label=f'proportion_{i}')\n", + " plt.plot(np.arange(n)[burn_in:], np.cumsum(path[burn_in:] == i) / np.arange(1, n - burn_in + 1), label=f'proportion_{i}')\n", " plt.plot(np.arange(n), distribution[i] / distribution.sum() * np.ones(n), ls='--', label=f'true_proportion_{i}')\n", "\n", "plt.xlabel('days')\n",