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<h1>Simulating Thompson sampling with the online bootstrap</h1>
<p>Using method described in <a href="http://arxiv.org/abs/1410.4009">Thompson sampling with the online bootstrap</a> [Eckles&Kaptein 2014], I ran a few simulations comparing a simple Thompson bandit with a contextual bandit using logistic regression using the same bootstrap.</p>
<p>Simulated bandit has two arms. One arm has a fixed conversion probability of 0.4, the other of either 0.15 or 0.6, depending on a single binary contextual variable. First 100 samples per arm per bootstrap are considered as warmup period and thus arms recieve uniformly random probability when less than 100 samples are in the selected bootstrap sample pool.</p>
<h1>Uninformed Bandit</h1>
<p>Best uninformed strategy is to always pick the static arm, resulting in an optimum conversion rate of 0.4. The Thompson bandit almost immediately converges to this optimum.</p>
<pre><code class="r">ggplot(data = at, aes(x = visitors, y = avg)) + geom_line() + geom_ribbon(aes(ymin = ymin,
ymax = ymax), alpha = 0.2) + ggtitle("Bootstrapped Thompson Bandit (cumulative conversion)") +
ylab("Average Cumulative Conversion Rate (90% confidence)") + xlab("Samples")
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-3"/> </p>
<pre><code class="r">ggplot(data = at, aes(x = visitors, y = avg)) + geom_line() + geom_ribbon(aes(ymin = ymin,
ymax = ymax), alpha = 0.2) + ggtitle("Bootstrapped Thompson Bandit (conversion last 50 samples)") +
ylab("Average Current Conversion Rate (90% confidence)") + xlab("Samples")
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-5"/> </p>
<p>Perhaps the warmup period selected was too long, or the simulated differences in conversion are too strong.</p>
<h1>Contextual Bandit</h1>
<p>Best informed strategy is to switch arms depending on context, resulting in an optimum conversion rate of 0.5. The Logistic Thompson bandit almost immediately converges to this optimum after the warmup period is completed (100 warmup samples x 2 because only one arm is pulled per sample x 2 because only half of samples are considered ~= 400 samples before warmup is over).</p>
<pre><code class="r">ggplot(data = ac, aes(x = visitors, y = avg)) + geom_line() + geom_ribbon(aes(ymin = ymin,
ymax = ymax), alpha = 0.2) + ggtitle("Bootstrapped Logistic Thompson Bandit (cumulative conversion)") +
ylab("Average Cumulative Conversion Rate (90% confidence)") + xlab("Samples")
</code></pre>
<p><img 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9Cw+POcV9mo4v2ZHHmcsPJNsXlaAvvf0z5Us23xjJCqbrjhhpQXnpC293qVFnvOq1BUeQaQNi044VU4rT/uOtc8oZt63hMk9nqmPnjP4NFeq6kP3hNU9jr5yTnSnzRxjrzKO72Km7WpSe8T94RJladlsbe79Aiafpn62P3++a/nKgMIgL8c8X8jnkbPft9e5ciGk/KHb8Zr5dr/nraryhNM9pgfyilPi1V12223pc75D7IxatOmTYoHz2AHQTnhCWXrRa709Vq/VVtvvXWVV0G093sC2obFE+4233iVhiqv68de4+f444+v8iqM9r+nsbHp6Qnu1PVs34BXGUz1wecqk1wZi72Gc15FJFUGu3OTJ0+28fU0kO5USfdS0XulELVVTwh4R/+p3WP5fPnll9uWL6puaoLU0PzW0AceeKC9Tq2bmmS2634VKe9ANYr6FGt9WoyobUeMGJFS7XBPuvM+otQpVE5exrEtIlpQXiXDtgpdrdjdSBidc90J1FK7detmT9d0ndYmLS7Ubl7ha++l9s7G8/SlehUU21py/tOFgEovjMvFl/fCi9aZc2gXaP1lcjClFe8ZuFjNA5qNrbbaKtOt1c4RN6/iZK3quYCalhZIbZxnXGbT2/lBV4HTNNANQJ4i7ziHKtUrhFKtTVSRtCBxdO9g8e9PN1q9ngBxj1vNg78LgBYGLU7SE3U+rT44okJmu+yyy+yzQcJCGvjV2nQVoN3J5kgD1Oq0jmmlox5Ha0GYiYtXqTL0z8OZfOwVrPa7orvAOdLEqczpLmEjj3IPrTIXB+5He4G/YRzdJPhNSxPnlcRWk0fr1jnsPLgvqMs3/YL6G7QMyORfvXr1bB7i+0EThlbEE/CWHWUZ3yPqbPft4wfqb7Ql6Zq6bIzoxsE25sorr0wFg++Brj6npeJCTenLNbR2dBvQN04ZiIaFbiVU/Ggn0YB6BpHcah1deZTJhAtHXiC/OZftG3D3sM9VJvEd4dBsOOdV9myeJAwuv9JdgF0X3XRcL7WTit4jjrqSIVZsqCApEFFn03eCOg81K/0pCDXneIYCj8TLdd094/ZbbrmlLeAQQgwlQv1NJYCPoSbHB+0cAg+BSgWBwgd1JoLDZWp3n1d7doc2jhRcfHTO1XSd+KAeQxDRf8ZG/xR9jcSZQp1Cgnuc87Nx54Luc/FDHYyQcB8N/iLYanL0ySE4SBuGqSAYUdXmcvQBY8tQSEe4/Y7+bpdOxJuhY35HgcV1ClpcesWE7hbSwLn0YZcUKP50oWCm4gcLKg8UigwJ9FqDVliTjyiQgoQFIeB39ENTccjmyJd8V1Q6sB9AjUp+ct0K9IuTPkOHDrXfBPfjr9+lv5d8ACO6j3i/63N1zyBUwzi+DSfceZ5KBF058KrJubR016nI+F2+6ZfLP+d30DLA3Z++pxKJDQ/+IDS9lq/9vihLYEq557599lQKaZiku2yMSB8cNjp+16xZM5sf3bma0pfrlLN0L1IZIWzkG8pNHHmW/O8PJ35hz+QaO/5yk2eyfQNcdy5XmeTuo8LinCuf/Gno8pPrcnL3lmovAV8DaVpVFIr0tVAI05qlFuYcRh0IOmr0ua67Z9wef2jBYGFJTRHhSaZwRkDuvpr2tIooKKkQUGDTN85Hg/NnrpdeeinlBe/jY6RP2bmarvNB8oHQT+ep5eyGJoMaNNbhxJkw+3nUpqWbix/vTOdP/2AmR6uO/mlq2LRMSCOMDf/4xz/a2ykQ/Iz8frRo0aJanLhG/zgGcsVwcHY2Fc5//nsqSduSdOfy2aN9wqjSOYwSqcgh9Egj9lRcST/6I8lLaC6KERYXBv+eygdpgOAkj5111lm2Mk1LnJYYmhkqN7kqDvgJJyrLxNE5+oOxuwjj0ORRyXPCAeFCBe3TTz9NeUeZQKsSzrQiEYR+B9ewLh//gpYBNYUFrSECifH+fEsnev3UOBoy5BFYuG+fPX3JTvNnb/zvTzZGcOQd6d8q//E/qKMyQl7FtoGywLXIybNUTv3hPPvss612oqZKXrZvwB+eXGWS/95sxx9//LFl4Nd8Zbu/0Nck4D2iCD5UlGyooajRYsCFepPWEipRWkIYm1AAzPWMhTBCIxNg1JHrOomG6g8VJLVaMj61UgpzhA0bBYcT0v57MyU4YSJjOzUmNVhnQOdafjzn9QFaAxhUo1QCMEai1e9cTddR5yPsGOaBYCW8v//97238UXlhJIN6FtUoNV0MEoOo5+HmOLs9Bj+5+KFy52Pm48VYhvTxq+VcfNhTMcPohrSCD2xh4lp5sIMH2ol0QU8hhzEQRjFU7Agj6kUqNMVwaESoKFKxI/0RVBj2kTfCOuJE3kTtTTcORl+0aHCoObEyJg/j4IKwZQREMcLCO6g8wBG1KcaFaAxo1aApQ5uBgPD6h7nVppczYPPnY3uxhh+0AmhseA950W8klf4I3xUO5umCmfN8y4TJr0mjtci3g6aNPMF3hooedSvfANoluslouSOAiGdYl49/QcqAbOUIWhIqvhgvMjLCdSOSHzybDvsNYGxMfsICnW+USlkmVxMjNB/kPbRnNEQoR/7617/a8hNVeVCH9oeWMpV013rnWYztqBjS+CA9KUuoiBDumly2b8D/TK4yyX9vtmPKfNjWVOHI9mxBrnkJWNEOAyUPZGrzatFVnqCt8vqarCGNg+O1gKs89a01GPKEiDWq8mrr7nJVrusY2GFs5NVc7TNeQVHlfdBVXsat4p0Yf3iFvL3mv9cZ2eG/c17rpsorqK1hjKfetJNfYBCHIROGZs4ABGMfwopBH0ZgGDDhcl3nHoypvJqy9dNTe1V5tfeUERvXvYxb5WkDrP9e5q3yCgp7zLVMjnj6Obtjr5Jgb8/Fz6toVHn9q9YoDeMhnsMPT8W4mpGdV5hYI0SvMmKN5ggnBlY4DAQ9tal91ivI7cQn/oluvHHTNk2IE+lDWuRy2YzsvIpFtce9SkqVV7ilzmHYBxvSyBN2Vd4QnSqv8mavY6SV/jxpgaGRc55le5VXIUvd73WdVHmFk/WPe/3GohhaeZqNKk842Hd6AqAKY1Hn8g0LBnKeytM9Xm3vjOxcOnuCo4qweTYHVc64iwe8ypT93pgciHBhBEleIz/hMMLyRgbYY/fjqV2rvIqQ/Uv6Y3AJPzaMrJisJJORHd8NfhMmr+LmvKu291paVV4FMnWObwU/vZZoFfkJAy6v/9hexz9PyNhvhG8YY0Z4+43s8km/XP75jexylQEE0F+O+I3sXOScsSx53u+IM+URhrZeZawKQzlvuJr/lmrH2RhhAMfEUpRNpI/XcKjC4Ne5XOnr7vO0nbb8xLjQ78g/5GO+V/awJ644jOx4n99l+wb8RnY8k61McmWoV3lNee9pB1JlkjvpNYxsWe3+l3pPDU0uDwJkMK/FX+MT2a4jwL1WZbVnsWr3WivVzvEn073pN3k14iqvBZF+OiXAyXzcg+Wx3/kzZ6br/nu9vqNqVqr+axxjkeu1bNJPh/6fiR/v8Fvs4zkFPB90NofFLuFPdxSOfsvb9OsIWK+Vm366aP95n6dRSFmKh32Rv0IAx0z5Cr8ZHVBT/AoVlnzj4E0TWqv4ey24jGmdKRx8v64SlX7dMwKs8mwG0k/b79br7lntPCf4nmq6lvGBHCfz8a+mMsC9Ikg54u5N35N/GDUT1FG21cSBa5R1xXB8z/nmn2zfQHoYM5VJ6fdk+k/aUHF1FcJM9xT73Bq8wKvRyiWIgFdLtVaxqEZRv6W7XNfT7y/3f1TKdBmgKkWtSJcE6nTUvIx3l/sPAboW6DapTT9wpbP0BL/tksFOgTHWciIQlgC2AXQJMIdCuZz64MtFvojvpR8N+wC/NbX/dbmu+++NwjF9xFj8vuhNH0w/JX2E9Mszy1XUXDnry/RTet1LUUMSmfAESRuMwjzVdsqmJTKBV0BiRYCKIkNCnW1UuQKfiBY8xlu5XHNv+BEtmyAfeS6/yn3d68u3RnaeaqrcQan1+6mEYAmN4VsSnBt9kYS4YACHwCvXEJ9CM8wnbTCow6o9qs5T/VqjNwxJ4+5ocMA6qGFl1ONLJZuV6bzukYLkIQyb04dbBmWgFnxQUrpPBESgYghEWbhXTCLEPKJRyEMS8DHPRAq+CIiACIiACGQiIAGfiYrOiYAIiIAIiEDMCUjAxzwBFXwREAEREAERyESg+qTPme6I+DmM5jAECuK4LwlGdsy2hcM4Je7OpZ3bxz0+pElS4kI+S1J8khYX0icJeY10SVLaUIaRLsSp3C72Ah6AQUEGva/ciZLr/cTDbbnujcv1pKVNXLjnCmeS8lmS4kK6JSk+SYpLlNIm9gKejJG+glNNhRb3JaEFT5wZZ5mEYXKuBRI0DWtK26icZ47vpMSF/JXP9xWVNKgpHElKG8oxyoAk5DXyGOVAEuLi8h5xiUL5rD54lyLai4AIiIAIiECCCEjAJygxFRUREAEREAERcAQk4B0J7UVABERABEQgQQQk4BOUmIqKCIiACIiACDgCEvCOhPYiIAIiIAIikCACEvAJSkxFRQREQAREQAQcAQl4R0J7ERABERABEUgQAQn4BCWmoiICIiACIiACjoAEvCPx330SJsJJi5L+ioAIiIAIVCABCfi0RP/111/TzuivCIiACIiACMSPgAR8WpoxvWCSpkxMi57+ioAIiIAIVAgBCfgMCb1ixYoMZ3VKBERABERABOJDQAI+Q1pJTZ8Bik6JgAiIgAjEioAEfIbkUgs+AxSdEgEREAERiBUBCfgMyaUWfAYoOiUCIiACIhArAhLwGZJLAj4DFJ0SAREQARGIFQEJ+AzJJQGfAYpOiYAIiIAIxIqABHyG5GKyGwn5DGB0SgREQAREIDYEJOBrSCoJ+BrA6LQIiIAIiEAsCEjA15BMsqSvAYxOi4AIiIAIxIKABHwNyaQWfA1gdFoEREAERCAWBCTga0gmteBrAKPTIiACIiACsSAgAV9DMknA1wBGp0VABERABGJBQAK+hmRatWqV0dKxNcDRaREQAREQgcgTkICvIYk0VK4GMDotAiIgAiIQCwJrhwnl4sWLzTvvvGOmT59uli1bZjp37mx23HFH06RJkzDeRfYZ1PTrrrtuZMOngImACIiACIhATQTyasEjzC+88ELTqVMnc8MNN1gBv2TJEnPbbbeZvfbay+ywww5mwoQJNb0rdufVDx+7JFOARUAEREAE/ksgcAt+0qRJ5tprrzVDhw41V1xxhVlnnXVWgzht2jQzYsQI8+CDD5o777zTrFy50jzyyCNm4cKFpk2bNuaAAw6o9sz3339v7rjjjtS5Xr16mY4dO5oPP/zQTJw40T5/2GGHmQYNGqTuKeWBhsqVkrbeJQIiIAIiUEgCgQX8dtttZ0aPHp313dzzj3/8w6DCx9GaRzgffvjhZtSoUWbmzJmmXbt2KT+++OIL06JFC3PQQQfZc2uttZb55ZdfzNNPP23OPPNM880335iHHnrIDBs2LPVMKQ8k4EtJW+8SAREQAREoJIHAAr5OnTqrvZcW+tKlSw3X1l77f15ttdVW9t7Zs2ebo48+2iC4Ud/PmjVrNQHPc7TWt912W9OoUSPb2t96663NhhtuaLeff/7ZtuSd/1OmTDFvvPFGKiw806dPn9T/bAf16tXLdtle430//vijPead9evXz/lMqW9YY4017CuTYOW/5ppr2rwTRc5h0pX4/Pbbb2Eejdwz5H/yWiZtXeQCGyBASUobbIModzfZZJMAMY/+LUlKG2jXrVu3YNBr01X8P6mcR3Dmzp1rrrzySvPUU0+Zs846ywplDOzon/c7hD+CGsfeCU53DwGnAEFIo9Y/+OCDzU8//ZR6hvs22GAD+9xmm21mH0P4O2HPiY033tig6s/l8OeHH37IOfQNDQJhcI44UEGJkiM8CJEkCHiER9A0jFIa1BQW4pMUzQ/fLAUv300SXJLSBuFOY2T58uWxTxpkAGV6Ur6b9ddfP5CsCZpwfnkX9Bl3XygBP2jQINOjRw9z+eWXm0WLFpnzzz/f9O3b1xx66KG2r915jlAlA/JhIcwpyP3uwAMPTP1FWL311lumS5cu1TItib7RRhul7kPln94nT4UjiENw5xKKCHg25zAsJMGi5ODJOP0ktBTXW289m77+SlWUWOcbFvKKP//k+3yU7iefUZlU2kQpVf4TFlrulK1JSBsEPBqJJFRWXE6h8lWo8jldbrp3BNnnZUWPhwhIhsedd955KcHXtGlTc8QRR6xmQU+r3gnfOXPmmMaNG1cL0+OPP27mzZtnz2GIR0u+YcOGZv78+fY9QOJ9tanBVHthiD9JqVWGiLoeEQEREAERiDGBvAU8tS1qFFjMO0dNBQM8hLPfde/e3bz++ut2GB0CnH54HFb4qP123nln+9ztt99uPvjgA/t/0003NTvttJMZOXKkufnmm02/fv38Xpb8WAK+5Mj1QhEQAREQgQIQWMNrIVfl689jjz1mTjjhBGsBjxrv66+/Nh06dDDPPvtsxv5q1PPZJoxBpZmuBseAj/4/tlzOaQmy3de8eXOrLcgVXcLy+eefp7xCFZbeJZC6WKaDpKnot9xyS7NgwYIy0Szsa5OkosfuBRU9o1mS4JKUNhilYnskFX30cmazZs2sDCmkit4Zrucb21B98AMGDLDj1ceMGWMNI+h7b926dY3vzibceShduHOunGp53u+cWvCOhPYiIAIiIAJxIhBKwH/33Xfmvvvus6p2avinnXaaOfnkk80uu+wSp7gHCmtthigEeoFuEgEREAEREIEiEMit/87w0lNPPdXOQe9UEPvtt581skuKKs8fZeKIxbqcCIiACIhAzQQoJ2kQMRyaRiDy4Ntvv7X2VnR9qhytmV2xroRqwTPRzKeffmrHsBMwLOhnzJhhx8WfeOKJxQpr2fwl0zLkT04EREAEKpUAjR2GsrHRdYnAxlbKbbnsm+CGkTY2RHTBuj1duJSv+Onsrty+UlkXKt6hBDxW9Mwo51fJv/TSS3YRmkIFLEr+SMBHKTUUFhEQgWITQHg7Ye72COAgQjxb2Hie8pTNOSf0/efcNSfo2XMfe5wLB3t37M67/9xLFzKViUx7d856mNCfUAKeWeyY6IZJaZhZbqI31Wz79u3tTHRJ5CRDuySmquIkAtElgJCixey6CNP/I7RQhSN8/UIQoeUEW6bYOT/9e4S5e49fmGd6vtTnXDiL9V4qDYVyzq9MRuOFeke+/oQS8IxNZ9Y5VpgjkzGuvbk3DC2pLlPNMqlxVbxEQARqTwDBhOqaxgEbQtQJafbuv/8cz/j/ZwsFzzNELtusiU7w44/zG//l/kegkDycX27/v7eU7yiUgCe4LP/KVglOLfhKSGXFUQTyI0DFn7IBQc6x64t2Aj0/3wp/d7Fbv4UPsXwsNIFQAn7y5Mlm+PDh5quvvrI1Qxeov/71r6Z3797ub2L2EvCJSUpFRATyJuAEOeprjt0WpZZa3pHSAxVBIJSAx1Kece/dunWrNiFNq1atEgmNDxkhj9WnnAiIQHkI8B06tbe/tUxLFXU0faDOECt9z3XU2qi08ccJ50zHnON7R5Aj1N295Ym13ioC4QnkLeDJ7IxxZGlYZ1QQ/vXxeZKPXQI+PumlkEaTAAIWgYxz/cIcU6648xyzIZCdIHd77g3rGI7FdywnApVCIG8Bj1Dv1auXufvuu81xxx2XdY75JEGkgJETARHIjwAtYFaFZMMozAnx/HzR3SIgAmEIhJrJjkUOBg8ebFgkpF27dqntueeeCxOGWDyjmn8skkmBLDMBvpOlS5eaL7/80k6G9dlnn5lFixbZ2cwk3MucOHp9xRHIuwUPocsuu8xcfPHFVn3Gsq9MfMO4zKT2wRNnGdpBQU4E/kcAFbobN+1a6tJ0/Y+PjkSg3ARCCXiWkWSym6eeesqcddZZhrXemzRpYtdzL3eEivV+teCLRVb+Rp0A/eHkfzYn0DmWMI96yil8lU4glIAfNGiQncnu8ssvt+q3888/3/Tt29ewbGxSx8ZTmFHQVZJhYaV/HJUYf/I4QhxjOPrNEeSo2DkvJwIiEC8CeQt4PvTp06eb559/3tx///02tk2bNrULzkyYMCGxAp54o6bPtbZ9vJJfoa10Aq5VjkBnQ7g7YU7XG8PL3P9KZ6X4i0DcCOQt4GnB8uFPmzYtFVeMZ0aPHm2HzqVOJvBAAj6BiVphUSIPYySLRTvCXIZvFZYBFN2KIpC3gIfOiBEjzN57721atGhhx4bffvvtpkOHDlZNn2R6tHY22mijJEdRcUsgAbqXEOoYxNJKlxMBEagMAqEE/IABA0zHjh3NmDFjrNqavvfWrVsnnhgCXk4E4kAAC3cEOoIdoS41exxSTWEUgcISCCXgCULbtm3tVtjgRNs3DZWLdvpUeuhQt7O6o1PBS6hXeo5Q/CudQGABz/Kwp556alZeqO5ZJz6pTi34pKZsPOOFAKd17maJU0s9numoUItAsQgEFvCo4FktDsc0tfPnzzfHHnusadmypXnxxRfNP//5TzujXbECGgV/UXvSSsKyWE4ESk1AAr3UxPU+EYg3gcACnslt9tprLxtb5qB/++23zRZbbGH/d+3a1SxZssSMGzfOsNJckh2t+PXXXz/JUVTcIkSASuWyZctS87lL7R6hxFFQRCDiBEI1Rddaay27Frw/bgyb22qrrfynEnmsfvhEJmvkIoVgp9I8d+5cu2dYm4R75JJJARKBSBMI3IL3x+Kiiy4y++yzj9lzzz1No0aNzAsvvGCY7CbJ/e8u/hLwjoT2xSBAFxCLtXz77bcao14MwPJTBApAAE0uw0/ZIxPY3HGdOnVM/fr1C/CW2nsRSsCzklyXLl0MM9d988035qqrrjKHHHKIXXCm9kHKzwdaNUFV5twXpBWUbbY6+t+Dvi+/mAS/mzCwuE+QuAT3tTx3rrPOOnb633IzLVTsSZcwcXGCne+J1jv+lNuhqSOvZfseyh3GfN4fBab5hDfbvaQL3w75JgmOvFbqfObmh/juu+9sN1imvTtHNxnDTp1gd8zJU2zrrbeeTQ/S5OijjzZnn312JNImdCmCgGcrt2NmvaCTdwSxMuYeErEmxxAkamjldGQiZ/BXznAU4t1UUtiCpmEh3llMPxDu+cSFuFN40GKnwImSo8AlfNm+hyiFN0hYkhIXBLtrNQaJd5Tvcet71DZt6MZavHix7dKiewvh7CZ4Yu82BLWb9AnhvMkmmxhszNL3devWrXaeGVwpe/ku2LO5sPv5MkcMZUChKl+8N6wLLODfeOMNc9ppp5l3333XqudZ7znd3XTTTaZ3797ppxP1Xyr6RCVn2SKD4KQAosUeNcFeNih6sQhkIIDgp9vKbQhvvyB3xwhVGl/Ygm255ZYp4dygQQM7ERuCEiHu9hzT8k6yCyzgaWH069fPsjjhhBNMp06dVuOyzTbbrHYuaSdoObOhUpITgXwJMBGNa0EUqoafbxh0vwiUkwACG60VLWp/K5vKrhPiXHfHCO4NNtjACuzNN9/cCm8EOFOl77TTTqn/nFO5XD1lAwt4CqWXXnrJzJkzx1x//fV27Ht1r4zZcMMN008l8j+teGWkRCZtUSLFRDROqKu1XhTE8jQCBCgXv/76azvCCg0vGw1DBLnrw2bPfXRl0YLedNNN7R7BzX+M05glFZU5rXG3L3X/fARwFiQIgQU8FvK33HKL6dy5sy2sMrXWmeymf//+BQlYlD2hBhrGkCrKcVLYCkuAVgcFG4JdQr2wbOVb+QjQql60aJEV4l999VVKmHOMqhwh3bBhQyuo2Tdp0iQlxBHmbKjI/QKbfmz6s2vbB18+KtF9c2ABT21q4sSJNiY9e/Y0Y8eOjW6sihwy9cMXGXBMvUeQu/5BFVYxTcQKDjaaJoQ3gtq/59j9Bw+qcFraCHCGSWNszTF93ZWixY1LNgks4P0RqmThDgcV3v7coGMKRqeCVEtE+SHKBLD7QFh/8cUXdrpx9m6jde6M1LAgx1iNfu6dd97ZuP+o0jNZjkc5zpUctlACfvLkyWb48OFWPeM3FGKu+qRb0ZNZJOAr+ZP5T9zJ965vcfny5QIiApEggBaJyiZ9326jX9wJdNYQoRKK6rxx48Z2T7crx7TC/arzSERIgagVgVAC/kRvvvmTTz7ZdOvWrdqEHK1atapVYOLysFT0cUmpwoeTtKcAxfqX0RRyIlAqAozAWLhwoTVko3KJERvqdCfInUEbQpqWNhstclrfjHo68MADrUDnvFxlEMhbwLvxuxdeeGHFqmpgQEFPTVgu+QRorTOJBkJdc8InP73LEUPymJsXgRY3mxPmbk9XkOv/3nrrra3wZpVPJ8ydQFc/eDlSMJrvzFvA0//Sq1cvu2Qsq8pVqkpHAj6aGboQoaIChxU8BSoCnWPOyYlAvgQQ3LSyEdK0sOnn9re43Tm0Qgy9dS1ujNjYdtllF7uvV6+ebYm74bms5OnyZr5h0v2VQyBvAQ8a1EPMRz9s2DDbd+Nw3XjjjRXRB0986YdXTdmlfPz3CHEKTIQ6mwR6/NO0VDFAiNPiXrBggbVLop/bjQNHsDMdKhbmrqWNEMd4Detzjtm4xhAzOREoJIFQAv6yyy4zrChHJsaoA3URix9USh88CaCxzYXMhuXxC6HO7FkIdAppORHIRoDWNsKbzRmtIdQR4kx5ipGaGzrWtWvX1H+Et5wIlINAKAFPy/X4448306dPNxtttJEVdn/+85/tcIpyRKIc75QlfTmoF+6dCHY2tdQLxzQJPlHpo+GC4PYLco755hHgzvocIc4xY8GZwEVOBKJGIJSAP/XUU81BBx1kl4tFvfT666+bww47zOy1116mQ4cOUYtjUcIjS/qiYC26p6Qbs25RkMtVJgFa4uQBBLmbjc3t6SOnfxuhzVAytJL77LOPFeT0g6OplBOBuBAIJeBnzJhhnn/++ZSBHTXZk046yUyaNKmiBDytP036EJesbqyBEwZParXHJ81qE1JsKmbPnm3Xz/jkk0/M3LlzrVBneCMGbPSL0yJHiO+55572P+cq1XC4Nqz1bDQJhBLwrHfLsrFYeDr38ssvW6M79z/pe4QEw1pYDEEu2gRotWMERYEvl0wCWKEjzD/99FO755g0pyWOAGftjD59+qSWElVLPJn5QLGqTiCUgB86dKjZf//97UQ3TZs2ta15VPUHH3xwdd8T/o8pH7FH0Hj46CY0lTDSSUZ00U2jfEPGKJ6PP/7Y0Cp3ewQ8xr4tW7Y02223nTnkkENM8+bNq633TctctjP50tb9cSYQSsAPHDjQfjzPPfecHdPJpDfHHntsxQk6WvFY0NJXJxctAqhhSRtm/5KLLwFGONAaR5A7YU6FDWHepk0bs+OOO5qjjjrK/ldFO77prJAXh0AoAU+r6PHHHzdXXHGFnZzhtNNOM6jt/Sr74gQ3er5SAGG0o6Ew0UgbBDstPNJEQxmjkSZBQ0GFmeFnH374od0++ugja83u1Ozt27c3/fr1s2PI1U8elKruq2QCoQQ8VvRMmYjak5mV9ttvP3PEEUeYqVOnWgvUSgPKEqEMF1ShU76Up3+diifrr8uIrnzpkM+bUZfTKkegY7g7c+ZM+3i7du2ssS7lCip3TSiVD1XdWwoCGFcj+7Dl8G+cQxYwGiMKLpSAf+ONN6wxi7MgR7jzgT711FPmRG8hmkpzTlWP2lCudARooSPU2TRssXTcw74Jgf7OO+/Y+TMoLzCIY+gZLfPddtvNDBo0yA5Hc+VK2PfoORGoLQFmH6TLh0ab2zjnhHq2PMqMhLEW8BtvvLGZMmVKNZX8Sy+9ZFcsqi3YuD7vZkVjDK1c8QhQmaKVjhqeVrta68VjXQifqXgh1BlCS8OAiWFY2Yx5MxDsmiCmEJTlR1gCCG1mIXRCnD2CHUGeBBeqBX/llVeaHj162LmUabVOnDjRfqyVZkWfngGYGQ31DBlGrvAEqBXDWMu0Fp5tIX0kfd577z0r1F977TW7SAqTYB199NF23Hkh3yW/RCAoAVrdCPANNtjArL/++nZLumFmKAGPoctbb71lP2CslDG2a+4NSal051fVZ1PhVDqnMPGnxY71tFw0CWCP88EHH9gy4dVXX7Utc4T6ddddZy3coxlqhSrJBCiDEeQIdCfUK23+g1ACnkzBEBU2ueoEli9fbi24paqvzqU2/xipwJA3uWgRoMI1bdo08/7775u3337bFqbMCIeGj9XS5ESgVARc6xztKUKdPVulN7RCC/hSJVwc34MaGctfMppc7QhgmMWc4eprrx3HQjxNFwnCHKGOCp58ztoT22+/vV2bAot3OREoNgG/MPcL9EoX5pm4S8BnolLLc05Vzyx/ynThYdKXi3BXn3t4hrV5ku43BDmLSbEnLRjCxpwXv/vd70zbtm3tWue1eYeeFYFcBDCEc6p21zpXuZqL2n+uF1XAM4zpkUcesepV1PkHHHBAxlAxoQVj6DHCwY0dO9a2EjjGyvaUU07hMFaOlifj47faaqtYhTsqgaWSxApfcJQrHQHmb3/zzTftxnLQtMoR6HyDtNYxUpITgWIRcK1z12eOQE+6IVyxWOJvrQQ8qrqrrrrKDoNhbnr63vyLr0yYMMGu0HT44YebUaNG2YksaAH4HUOdnnzyyWrPUbAMGTLEFiZxrqmh0mRIoVT1/hQPdqzFYYJxqu1dVKSYChahTkudVnrnzp3N3nvvbS699FI7cRXzDMiJQDEIUL4jzFnLhGPKykozhCsGV+dnYAGPlWw6eAT6eeedZ9V2Dz/8sLnzzjvN73//e+e3LTholTOmcIcddjCzZs2y96Zu8A4effRR07NnTztGlvO8B9UgFrkUPl26dPHfbicQYBpS55zKxv3Ptqe/Bj+zOa4XspVCP2Vzb4RBISsq8GTLFZds8YzKNVjDhrRxDmbMK1DIdHB+F3uPOjHqDq0IfelYuzM2nW+OiWZY8hnh7tKCgpdvPo7pkCkN4pA2mcKd6RzpQnzimDaEmeHE2Cm5PEYrPUmTVfEN8V0VwtVGdgQujRDEzz77rK3VOwtZZuxh2VgKDGamSm+d04J100yyT1/4g1YDE18w17RzDIei1ctGa2LkyJHm7LPPdpet6p5JdZyjn/vII490f7Pug1i2Y7HNylSFdEzMUrduXZupC+GvS/AkCHjiQmWFqY9xtBbp2vFrggrBrFR+EJ+opgtdRnzHrCNB1xGt9Guvvdaq3l2e8nPiHFtSBGOU08bPPcgx34wTkEHuL+c9hJXyHKHOlq5yd/msUAKxnHF17y7k2iTIpLAusIBHzY4wZmEZ+uUuueQSO/4dAfzCCy/YiW+OO+64auGgdsawMRKUSgCJ7Byq+dGjR5vu3bvbWfEofOiLx3Bn2LBh9rZtt93WDr9B4LoCn7G1bH43d+5c/9+Mx829VjQVhlyFLy3HYoy3njdvnlU/Uckgk9fGwRPDsyR8ENR0Ee4LFiywrXYWG8mVRrVhV+xnaZ1EzW6AvPfEE0+YyZMnm1133dVcdtll9ht2LBYvXuwOq+35XmkpJkVFH8W0qQY8jz+UI5ShlFdRcuQXvmlYs6FhdV2UhJct3SHguRdZkQTXrFkzaz9UqPLZLzfz5RNYwONx165drQEcAh3VO0s1slQs80lnciyjivDFSGfOnDm2guDuo1bnZr6jxcZ/EpnC5plnnjHHH3+8bclRWKIpSILjY0SQEU8+0KTEqxBpQx6ATZyFeyE4FNIPxqYj2Oka69Wrl7nttttk9FlIwBXsl+u6oSxDoNPoYJ8UbU9SkjYvAU8hTCsAlTpqcozjDjnkELPvvvvavvd0tQSt88cee8zObkUG6Nu3r+XGzHfnnHOO2Wmnnex/DKo++eST1OQYtHDvuusu25JmSlwyU5IclRYsxNFawIyRAtRiK9VR00W4azhc7XMAeevll1+2gp0KJZXoiy66yPZ11t53+ZBEAjSu0LbS0qYcorx1avP0/+6aBHk8csIaXospu9XZf+OBaoUWPJNaoDKn9fmPf/zDtrj+9a9/mb/85S9m6NCh5sQMq8lR6FDTy8dhcEFmIvPlcmgJcjlU9Kgqc0WXQvHzzz/P5V1BrxNHBD3dEEEqM0lT0ZO3WFksCY58Tn4vtaNbafz48Vb7hUatf//+Zvfddw+Un2oKq1T0NZEp//naqOidQHd9+PmWzYWOPZUIwpAkFT0ypJAq+rDDrQO34GmxH3PMMSkr+YMOOsgazdHaxsiN1aGwzM3kwmQghFilOFqudE1glIidQxhecWWlKWjDpxxGq6+88oqZ6C32hBp+l112sa11VmmTEwFHIGoC3YVL++ITCCzgUbcPHz7cFiYULK1atapmLEYmYiicXHgCdIHMnz/fYLtQCRUchsMxasIZUIYnVzlPkkeYFAqhzpLNGKXut99+1ujVjVipHBqKaSYCfoGezzDiTH7pXLwJBBbwtCopUDDcadiwYbWhbfFGEK3Q+4V8kvu56ObBBqGStBW1yWkffvihefHFF60NDKMOsHsZPHhwanhhbfzWs/EmQDmBII+Kyj3eNJMV+sACnmjTV4LlPI5+U/oYamPCbz3Sz2oEsD+gJY+6PolCHg1QMYYirgYy5icwPqVfnRkhyRP77LOPnTkSexK5yiRAGYx2D62XG4WjSnJl5oUgsc5LwDNOnfHvzz//vFWt8gI6/zt16mRuuOEGuw/yUt2TmwCGWk5dj8otKQ4jxiDzESQlvvnGg3Rnythx48YZWu3MMHfmmWea7bbbrlYGc/mGQ/eXn4AT5k7NzjA0Ngxx69evb8vgTOPKyx9yhSAqBAILeGbToa+P4W1YzGOpS0ajHxXVIbNizZw506rvoxK5uIeDwp6JX+iTT4KQpxWqse6ZcyWjCBDq9K03aNDAThx1wQUXVLNzyfykziaBAN83LXFa506QO2GehPgpDuUhEFjAs1wkK8L555onyAj6I444wi5WMWbMGNsvWJ6oJPOtriWPuj7OQp6RAmgkNNb9f/mUKYwZncLEUajj6Vf/05/+lJoP4n936igJBGgQOSHu9gh0tjh/20lIm6TGIbCAZ6lIVIb0nTKvut/RMkNtTx+hXOEJMD6Uli9CPsg4+cKHoHY+YquBcCefyBk7zwITQDFpFNMxDxw40E4hS0EvF28CqNUR1rS+nRBnzyYhHu+0jWPoAwt4Zltj+UgEPTPQ0QeEARgqelal6tOnj2FsvFxxCLhpbv0L8xTnTYX1lYmF6HNPyiQWtaHDWHUWe0Eb5qaOTa8s18Z/PVs6Aq5/3AlvvzCPYyW8dOT0plISCCzgCdTpp59up6ZlqNxcb/Y4+uUROKxI1bp161KGuyLfBW9a8nGyota67sZOAPXII4/Y5ZOZrvmss85KWUBXZEaOSaRpwDgVevperfGYJGKFBzMvAQ8rBDobBTdqKE1SUtochJBH3c1UlVFX6TI7X1JWIss3ldFcsNY6LXY4MHXsxRdfnFpZK1//dH9xCdDqZhw5FuvMy06LXC3x4jKX78UnkJeAR7CcdNJJtuCi4GYMPB/DzjvvbP72t78ZlsmTKz4BhsZgoOUKJQomtii1KhBq3377bfFhROwNGBEybh3BzvGAAQOs8VzUK2MRw1j04PDtUHa5DcEuJwJJIxBYwNMi6datm2Hozt1332373RHqjz/+uDWwY5gcc9GrRV+6LMKsd1S02OgTpNXB2gCuJcK5UjsM6lgpj8lsKslhQMgwN4zn4H/UUUfZxZnUCoxGLuBbcIvnINQl0KORLgpFcQkEFvBumBzTY+IOP/xwM3r0aCvoKcwwIHr22WftwjPFDbJ8z0SAChiGbGwYProWCrNdUbCVQti7ce4M7asUR1yfe+45W9HFYI5JaTp37lwp0Y98PNFq8Q3UqVPH7jFWlROBSiEQWMC3bNnSTJ8+3bYWsainpcbc9Oeee65l9dlnn9nVrCoFXNTjSfrQimajkKOAQ7tSLDU+tgFYy1fKOHfiS4X2iSeesBMRMQEUMzqiRamkCk5UvwPSwQl1aVGimkoKV7EJBBbw1IKPPfZY28/OjHZvvvmmXT2O1gqtemax69GjR7HDK/9DEEDosrALLXsqZxR8FICFcnQRYHSJFiHpjgoTmqsnn3zSjhy58MIL7dDRpMc7DvFDS0X3CPmbvZwIVDqBNbxCOa9SGUO7p59+2vYvMj82jiFzzcu4AAbvz+UI37x583IKIVR4n3/+eS7vynqd4Tu00NnCuEIWhLU1pqOigWYh6ovPUIl56qmnrHDv2LGj7aJiZsd0l6QWvOuzJu5Rdn41fDZjRvrdk6KiT9Jc9JRHfDdJmSsDY3NkSNjyOf1b4ztkzZcwLnALHgM6hmYxL/qQIUOqvcsv3Ekk+iT79etX7R79iQ4B6nROfc+Htfnmm9v+yXz66cm8lWBMRzxpsT/wwANWY3X11VdrKtkIZGUqubTSnVGp1PARSBQFIXIEAgt4WlnnnXeeXX/6yCOPtKtc8ZHh6HOcPXu2bdlTEA4bNixyEVWAMhMg7RYuXGhb0Ah7WkDp+/TCE2O6Spidbs6cOebmm2+2NfGrrrrKbLPNNpkh6mzRCVD5ZN4NJ9BlBV905HpBAggEFvCoHR588EHz8ssv2wk73nrrLdvy40NjxTPUlQceeKC9Tj+vXLwI0FJFfZmuwqRgRQWK0GejUrd06VLDEL2kOio9Dz30kGHxJBZSOuSQQzTpSRkS240EQaizuQZFGYKiV4pALAkEFvAudox3ZwUsDLdotS9btszQJ8nYUrnkEUCdjzBnq4S1p6dNm2ZuueUWu0riX//6V7t0a/JSNdoxoixBY1iq4Z3RpqHQiUB4AnkLePcqWnWZjIzcde1FIE4EsElgAqfXXnvNnHzyyaZ79+5xCn7sw4qmiJE6CHap32OfnIpARAiEFvARCb+CIQK1JvDKK6+Y22+/3TAqhNkZGWYlVxoCqN3p0kOwSwVfGuZ6S+UQkICvnLRWTNMIMFc+Ap2uprPPPtsug5x2i/4WiQAGc24imnxGbxQpOPJWBBJJoFYCnn5ZDK74UFX7TmT+SGykmJiJIW+77babnY1RNiTFT2oEuSaiKT5nvUEEHIFQAp6JZa688ko78QdrWzPMivHxzOolJwJRJ/D888+be+65x5x22ml2pbeohzfu4cNex6nhs01EE/d4KvwiEDUCoQT8oEGD7LS0l19+uR0/ff7555u+ffuaQw89tOSGd1h5U4AEcdyXa+I+7kkf9x3E71LeE/Xw5cPCxcXt83k233vROI0cOdJMnTrVtt5ZX6HQjlZqKeJS6HBn8o941CY+GMtFSQ1PXIKWFZl4ROmcS5ckxIe4JCltyCekC3Eqt8tbwCMgWXSGVtD9999vw9+0aVM7Xph1sMthWR+0QOW+XAKee4L6V87Ecx94OcNQiHe7j7vYzJmHH60Tfb9MXlOsuRqSki4ubfOND/czZp3ZEaPW7ZFvXByDqO7jUlYF4ZfEtAkS72Lfk7eAJyEYn8p4YefcdJ7lUNETHmZWC+K4L5eA5x5aelF22DvAnC3ujkKKNCkmc/rbmYmOORzQPvHOYr2vmH6XOq1d/grCKpM1fNDvslTxolUVtTCFjbv7ZpIQHyfckxAXl57ExX0/7lzYPY2SsC5vAc+LRowYYQvLFi1a2KlNGWLUoUMHq6YPGxA9JwLFIMC6CPfee69dP6Fbt27FeEXF+onApLXO+HVa6xTUciIgAtEhEErAU1DSj8lUntRU6HtnHCsW9VtuuWV0YqeQVCwB8iUVz3feece23jWPfGGygoR6YTjKFxEoBYG8BLybpxwBP2XKFHP66afbMKKKQPXZu3dvc+KJJ5Yi3HqHCNRIgP52hsAxd/5f/vKXovW31xiAhF2QUE9Ygio6FUMgLwHPYjIY0uH8BjSo5ho3bmywqpcTgXISYMjmH/7wBzu+nSln6ROXy58A3zSGiCwRTcVe6vf8GeoJESg3gbwE/Lhx4+wiM8cff7wZNWpUKuwUoipIUzh0UCYCLGF78cUXm169etlRHWUKRqxfyzh1utuccKf1vnz58ljHSYEXgUolkJeApxaPtSxrvmdy1PS1UEQmMjpXbAILFiywLXfmYxg4cGCxX5co//muMZZDsDPTnJwIiEAyCITSX44fP95a0bM4B0vFtm/f3tSvX98a3SUDi2IRJwJffPGFueiii8zBBx8s4Z5HwtFaxyiW0TANGzaUcM+DnW4VgTgQyKsF7yI0dOhQg5p+xowZVsAzLp5Jb/r37+9u0V4ESkLg888/t2r5AQMGmH79+pXknXF/Ca10JqJRaz3uKanwi0B2LPEbCwAAPB9JREFUAnm34JlgYdmyZam+zhUrVtiVuFg/mzHHciJQKgLz5s2z+RCVvIR7bupMmNGoUSNrECvhnpuX7hCBuBPIW8C7/jqEfKdOnczkyZMtA6xtP/vss7jzUPhjQmDOnDnmkksuMUceeaRVzcck2GUJJnYzDRo0MEwpTV+7nAiIQGUQCKWiHzJkiNl+++3Np59+auZ6K8sdccQRdvjc66+/XhnUFMuyEiDfXXrppeaYY44xffr0KWtYovxyRrZQ8WbBFw1zi3JKKWwiUBwCebfgCQarx40ePdpa1GNwh7HdP//5TxUixUkj+eojMHv2bDN8+HBrAyLh7gPjO0SY08fevHlzu5dw98HRoQhUEIG8BPy7775rW01HH320+fHHHy2mZs2amdatW9sCl2lB5USgWARmzZplhftJJ51kevbsWazXxNZfBDnzwvNNbrXVVolZGjW2CaKAi0CZCQQW8Ex2QYuJ/ry2bduaww47zHz//fdm8ODBhhnDLrjgAnPIIYeUOTp6fVIJ0Of+xz/+0ea3Hj16JDWaoeKFYGckS5MmTWxfO8Pf5ERABEQgcB88BSzC/b777rPUMKjr1q2bndjm/fffN1rMQ5mpWAS+/vprK9yPO+44s99++xXrNbHzF8HOjHOo4yXUY5d8CrAIFJ1AYAH/1VdfmR122CEVoJYtWxoEO3PT12a92pSHOhCBDAS+++47a1DH9LPqc/8PIIznmHUO4zkq3XIiIAIikIlA4NKB8e9+Yx3mqEZVKuGeCavOFYIAUx9fdtlldsQGdh+V7hDmCHVa7Xx/ciIgAiKQjUBgAY8nTGqzePFi6x9GdvTLu/+cpOBhiU45EagtgZUrV9olX5lKlWGZlez4ppxg91eyK5mJ4i4CIpCbQF4Cnpnq6tatW81X1tt27uGHH7bGd+6/9iIQhgDaoptuuslWKFkdrtJWKqR1zqJNzDbHsszSkoXJRXpGBEQgsIDfe++97RS12ZBp+stsdHQtKIF77rnHYNR5zTXXVIRGiAoMgtxtWpExaE7RfSIgAtkIBBbwtCpQwcuJQDEJ/Pvf/zavvPKKue666xI9rSpqd8asUymWQC9mjpLfIlC5BAIL+MpFpJiXisDEiRPNY489ZlvuTLGaREcfOnFjaJv605OYwoqTCESHgAR8dNKiokPy9ttvm5EjR1qreSZsSaJjoRdsWDRmPYmpqziJQPQISMBHL00qLkQzZswwI0aMMOedd56dJTFpABDoCHat5Ja0lFV8RCDaBAJPVeuPBkvE7rvvvqZ9+/a2QGbqWjatB++npOMgBJhA6f/+7//Mqaeeanbccccgj8TmHlTwDPNjbngJ99gkmwIqAokhEKoFf+KJJ9r555mq1j+TVqtWrRIDRhEpPoFVq1bZse79+/dP3BS0zA3Pgi9Sxxc/H+kNIiACmQnkLeAZo8z0oRdeeKGMhDIz1dmABFhimNEZLFb0zTffBHwq2rdhHY9gV4s92umk0IlAJRDIW0WP2pF5we+++247EUk2SMxG9uCDD5obb7zRPPPMMzXe+tFHH5kHHnggdf3DDz80t912m7n55psNKly55BFgHYPnn3/erkKIkI+7Iw4I9ubeGuwS7nFPTYVfBJJBIG8BT7TdMrH0L7Zr1y61pffBsxBNgwYNzFlnnWUWLlxoZs6cuRq1n376yTz55JPWTy4y//jTTz9tTjjhBIPq9qGHHlrtGZ2INwE0QDfccIM544wzTP369WMdGSq8DHmjn11D32KdlAq8CCSOQN4qegiwAAhTiKa79D742bNnGxYJoXXDSnSzZs2ylQH/c48++qjp2bOneeONN+xpKgJbb721nQCESUB+/vlngybA9fVPnTrVvPnmmykvGjVqZPbff//U/2wH6dPsZrqX9zHPfpQdQoWukrg6Zqjbc889zUEHHWS7ecgfcRz3zkQ19erVqzbbHnHBtiAJjm+OvEYck+CSlDZ0BbGiILYecXfkMbbffvst7lFJhR9tXqHcr7/+GtqrUAK+U6dONjHmzZtn1fStW7fOOF/40qVLraAmdAjrdMGJoG7cuLFBSDvnf4ZzTN/Jc2RmXMOGDc3OO+9sj/khg6f7m7roO+D9aAtyCUY0CAj5KDumNiUeueISxTgwU91nn31mLrroIssZIULBG3XmfpbkSSqL7Pn4/B8gRnX+//7n4nbMN0NeC/J9xSFuSUobvhsW+2JLgiM+NOSS4CgXgsiaoHGlfAzrQgn4jz/+2AwcONBMnz7d9jeSMH/+85/NaaedVi0cRJQMyIfFSnT+2iYARo8ebbp3726mTJlilixZYuiLZ9pOf6alsPT3aVIZ8FcIeOHcuXOrvTfTHwpkCqpcQjEOAp6Pgdpu3Gq8n376qbn33nvNVVddZdMBoU5LhDSPg4AnrHRLkY9hn0nwERfyUBKcq3xlimcc45ektCEPks8oR+PuaL3zbfnL/TjHidY76VKo8tkvN/PlEqoPnjHLqFdRp2P9PHbsWKu2Z8ISv2NGMid8WTyE1rpz1EoOPvhgK7z58PhPItNCnz9/fkoAIJApaOTiTYCP9/rrr7ddNttss02sIkMBxEfbtGnTapXUWEVCgRUBEag4AqEkJ4IcC2gEMq5r167mpJNOMpMmTTIdOnRIQaR1ztzinKcV37dvX3vtiiuuMOecc47Zaaed7P+vv/7afPLJJ6ZFixb2P+eZthRjvn79+qX800F8Cdxxxx3W4JJKXZwcwh3tj+siilPYFVYREIHKJhBKwHfs2NG8++67ZpdddknRe/nll82wYcNS/znAqnjw4MFWPe8qA5wfPnw4u5TDiMev3t9rr73M7rvvbvv/Km0t8BSUBB2wOtxbb71lhz3GLVoS7nFLMYVXBETAEQgl4IcOHWot15nJDrUlrfk6depYlbvz2L/3C3f/+WzHUstnoxOfa2hnbr31VjvePW7LDUu4xyefKaQiIAKrEwjVB4+B3fjx4601O8KbWe2Ynx41vJwIOAIYmdDvzsRIjLyIk6PPnUqrnAiIgAjElUCoFjyRpZ/c9aHHNfIKd3EJMEkRY8KPPfbY4r6owL5jKU/3kpwIiIAIxJlA4BY8E9F07tzZxnWfffYxbdq0WW1Ln8kuzmAU9toRmDZtmp2RkCVgazOOs3ahyP9phHscJ93JP6Z6QgREIOkEArfgsY6/5557LA/miM80mUfchj8lPXHLFT/63Vnf/fTTT7eW8+UKR77vRbBLuOdLTfeLgAhElUDgFjzTcjLdLG777be3E36wfjeT2dAfv95660mtGdVULmG4mOCBYZB9+vQxjIaIi0MlT+tdTgREQASSQiCwgPdH+Pe//7050VsTnslL9ttvP8MwqAMPPNB8/vnn/tt0XGEEnFEdExodddRRsYk9xnSFnDs6NhFXQEVABBJNIJSA/9e//mX7V2m50/JhNbhjjjnGjBs3LtGwFLnsBJiG9ttvv7WTGDFBTBwcwp3hcHIiIAIikDQCgfvgXcSZOpa555kf96mnnjIDBgywl5hrHjW+XGUSoHL30ksv2TUJ6K6Jg6NyqpZ7HFJKYRQBEQhDIG8BT8tst912s3PRM/Yd9fzf//53M2rUqIxLyIYJlJ6JFwEWHbrrrrts33sc+rHd3PIa5x6vfKbQioAI5EcglIqewpzJbmi1bbvttnZ1t7fffltGdvmxT8TdX331lbn66qvNmWeeaVg2OOoO4V6/fn1NYhP1hFL4REAEak0glIDv0qWL2WOPPVIT3WAxzcpxSXDMsc/sa0lYhrHY6QGjyy+/3BpY7rnnnsV+Xa39R7iz1LC6kmqNUh6IgAjEgEAoAY8wZyKTJLpWrVpZGwMWzmH9crnMBLCYZ6x78+bNY2Exz2Q75NsNN9wwc4R0VgREQAQSRiCUgEfFiYqeVeBQ0buNRWfi7jAeZG59lqn9wx/+YJ599tm4R6ko4cfu4rvvvlttBcGivKyWnrJwEcJ9/fXXr6VPelwEREAE4kMgbyM7onbJJZeY888/37Z0f/jhB2tRTyHK9LVJcYzrb9eunbn22muttoI+ZrX+/pO6VOReffVVc8MNN5gwKwWWMo8QPtTyWgiplNT1LhEQgSgQCNWCZzpPDO0OPfRQM2XKFMOiIhMnTkzcNJ8tW7Y0N954o2FooFT2/8mu2CgwZfHw4cMjn9602Gm5S7hHoahRGERABEpNIFQLftCgQaZHjx7WwGrRokW2Nd+3b18r8JPUiicxaLVfcMEFZsyYMVZlf/zxx5sDDjig1OlUtvd988035v3337daDOwumMjm3HPPNVFfd4B0a9iwoVlzzVB12LLx1otFQAREoFAE8hbwtGYZ94ya9v7777fhaNq0qTniiCPMhAkTEqWm90P2q+w/+OADOyysUCp7rNFffvllu/FO7AA22mijanv/uc0228yqxukWoXXqNqzEa+sQ4Ahy4ohgpwJHVwXrD6DFoALHe6PsWB8BtXwheEQ5ngqbCIiACGQjkHdJTaGJsPFb0WNRPXr0aGuclu1lcb/mVPaspoewGzJkiOnYsWPofugPP/zQjB071k4WxBhytCIIpx9//NFg28B+2bJlZv78+alz7vwvv/xiV/RjVkHnnMCn39kJfXfMtfTr7j/34s+MGTMM49oR6MTrjDPOMG3btg0dPxeuUu7JnxiBSriXkrreJQIiEEUCeQt4IsHwqL333tu0aNHCCpLbb7/dsJwsavqkO6eyx7r+zjvvNAsXLrRCcLvttrNCEeGYzfAMy/MXX3zRakAQ1gj1m266Ka9lVRHMVKrY0KiwdC8b0wVnOnbn2CPI/f/dOQQiaZor/FFPX+xDqLDIiYAIiEClEwgl4Jl/nhYe/dIICIzt4jCLWSETm8l92FBpo85GozFy5EjbAqbV6xf4CJz33nvPttbffPNN06lTJ3PCCSfYiYIYn10bh2CmQsGGWr+SHQyYX15OBERABETAmFAC/uSTTza9e/e2Kty4LCxSrMRGoLDuuVv7PJPAp0sD4dOzZ08zePDgyFufF4tVMf2Var6YdOW3CIhAHAmEEvAIKtTT9NFiXHfSSScZpq+VM7YFmS7wMVRDw6F+4eLlkE033VQT2RQPr3wWARGIIYFQY4gQ6hiHMSYaC/pTTjnFqp35L1edAC18LM8l3KtzKeQ/bBLisIpdIeMsv0RABEQgF4FQAt556oy6MPZCBa0xx46M9qUkwJrutbVlKGV49S4REAERKAWBUAL+3nvvtX3Ou+66q1m8eLFdC54Z7RgrLScCpSSAYaFWhyslcb1LBEQgLgRC9cEzDzmzmTEsrtxDkhgmFnQREe7j/lwObUSUHZoS4hEkLlGOB2FDve5GAuQbVlrtW2+9ddnzoD/cxCdofvQ/F8Vj4kJeS1J8khIX0oVyCu1pEhzfcpK6MclnUUibUAL+jjvuiEyeIlMw6UsQx325hCL30PUQZUfBS+aJQgYqBCfSJAzzunXrmlWrVtmtEOEohB982EHzYyHeV0w/GCFDwZuU+CQpbfj2+WaSkDaugr98+fJiZueS+k26FKp8ZhRWWBdKRT958mSz7777mvbt29tJXhj3zfbcc8+FDYeeE4G8CCB86tSpk9czulkEREAEKolAqBb8iSeeaBgL361bt2rzkrdq1aqS2CmuZSJAjb9evXplerteKwIiIALxIJC3gEedynSrF154YaL6TOKRXAolBFhsJyl9qUpRERABESgWgbxV9LSeevXqZe6+++5Q/abFioj8rQwCGHVqzHtlpLViKQIiUDsCeQt4Xvf999/bKVcpaFmcxG3qg69dYujp3AQwrNN8C7k56Q4REAERyFtFD7LLLrvMXHzxxavRUx/8akh0ooAEmI620hfUKSBOeSUCIpBwAqEEPKuhMQRg3rx5Vk3PPOtqVSU8p5Q5eizTK8O6MieCXi8CIhArAqFU9B9//LHZYYcd7AIqu+yyi51JjDXh5USgGAQ22GAD06hRIxl1FgOu/BQBEUgsgVAC/tRTTzUHHXSQWbhwofnmm2/swjOo7WfMmJFYUIpYeQhIuJeHu94qAiIQfwKhVPQI8ueff95OlQiCrl272iVjJ02aZDp06BB/KopBJAgwFK5hw4bq/olEaigQIiACcSMQqgXfsWNHu1SsP7Ivv/yyYVUvOREoBAFmqkMtr1XiCkFTfoiACFQigVAt+KFDh5r999/fzmTHevC05pk29OCDD65EhopzgQmwiEbjxo0l3AvMVd6JgAhUFoFQLfiBAwea8ePHm5133tmqT5nVjvnpy72yXGUlXTJjK+GezHRVrERABEpPIC8Bv2TJEnPMMccYlovdaaedzCWXXGIF/AsvvGDXhS998PXGJBGggkjLndXy5ERABERABGpHIC8BzwpytLBYRc45Wu/MDb7nnnu6U9qLQN4EEOoS7nlj0wMiIAIiUCOBwAKese9MbnPPPfeYzTffPOVh/fr1zciRI+1Y+KlTp6bO60AEghJAuDdp0kRdPEGB6T4REAERCEAgsIB/7733DDPY1eRYOnbKlCk1XdZ5EaiRwNZbby3hXiMdXRABERCBcAQCC/hdd93VvPTSSzW+5Y033jDMaicnAvkQQBvEZDZyIiACIiAChSUQWMDTymrbtq057rjj7GpyLhg//fSTYdjcokWLTOfOnd1p7UUgJwFU81r6NScm3SACIiACoQgEFvD4/vTTTxss6bfYYgu7RCyLzGyyySbmo48+MrTgteBMqDSo2Ie09GvFJr0iLgIiUAICeY1HYkWvZ555xg6Je/31123wunTpYmccK0FY9YoEEWDZ14033jhBMVJUREAERCBaBPIS8C7oTEnbt29f91d7EciLwBprrGFovcuJgAiIgAgUj0BeKvriBUM+VxIBung062ElpbjiKgIiUA4CEvDloF7B72SiJP88ChWMQlEXAREQgaISqJWAX7lype2PZy8nAkEI0L2Dil5OBERABESguARCCfi5c+eawYMHW+O62267zQwbNsxcc801xQ2pfI89AYzqMK6TEwEREAERKD6BUAJ+0KBBZptttjGXX365DeH5559vHnjgATNr1qzih1hviCUBhlDKsC6WSadAi4AIxJRA3lb0VVVVZvr06XYN+Pvvv99GmzXhjzjiCDNhwgTTpk2bFApU94888ohZuHChPX/AAQekrnHw448/mieeeMIsXbrUMKa+Z8+e9vrYsWPNtGnT7PGmm25qTjnlFHusn/gSYEIbrRIX3/RTyEVABOJHIO8WPP2nqFqdACbKLEIzevRo07Bhw2oEEPgNGjQwZ511lhXyM2fOrHb9xRdfNB06dDBnnHGG+eSTT8xnn31mr1OBGDJkiDn77LPNSSedVO0Z/YkfAQzr6tSpE7+AK8QiIAIiEGMCebfgieuIESPM3nvvbVq0aGGHO91+++1WUKePjZ89e7Y5+uijzVprrWV22GEHq8Jv165dCpe7/9tvvzXLli2z/bNUFmjZf/DBBwZtARPp+N13331n73Xn1ltvPbuErfufbY+gwc9sjvdHfQgXPAlnrrhki2eprlEhZKU42GdysOaemq5neibK59BSJCUu5DO6VpISnySlDd9MUuLj4hKH8ixo2cM3QxldCAefsC6UgB8wYIDp2LGjGTNmjPn111/NoYcealXs6YFA9c7sdzj2CO50h8BG1c+Ut+uvv76d5x4NAduXX35pl6KlJe/cO++8Y2j5O9esWTNz7LHHur9Z91hw53I///xztbn2c92v69kJ0HJv1KhRjTeReREkSemfJz5JKajc1NNUopPgkpQ2fDMIeMrNJLgkpQ3pUcg1NpBJYV0oAX/yySeb3r17W9V6to+fVcKWL19uW8QrVqzIODUpfexnnnmmmThxot0OPPBAa5VPhLbddlvz9ttv2xb7ZpttZuO4zz77GDa/w6o/l2vevLlZsGBBzsL3l19+MV9//XUu78p6nQ+b2mGhaojFigyFEBW1+fPn1/gK8g8fA2mTBEcllTyUBMc3Rxp+8803SYiObUAkJW3q169vGyIs9hV3h3CnxYusSIKj0UnjtFDlM2VoWJd3HzwvwhjuzjvvNKwwR/86QjiTQzXrhO+cOXNM48aNq92GAZ7rdwcGEVm8eLEZNWqUvQ8jPSoGSamlVot8BfxBcCMg5ERABERABEpPIJSAx2IeS/d3333XYEGPlXunTp3sf38UunfvbliUhrHyWNLTD4+74oorzA8//GB23313a5x39913m3nz5hnWnEeNzljpu+66y1x33XWmR48eWqXODzUmx2hvnNYlJkFWMEVABEQgUQRCqegdAVrX9MHT+kbF4vrs3HWmJGVCHO7zG+oMHz7c3kKL/fTTT1/tOn38+It/agE6mvHZo3KrV69efAKskIqACIhAAgmEasHfe++9Zq+99rItbqdSnzJlitl+++0zIvIL90w3ZLqOdbWEeyZa0T/HYjKZ0jT6IVcIRUAERCA5BEK14F999VVz7rnn2iVjoz6kLDlJFY+YINi1mEw80kqhFAERSDaBUAL+jjvuSDYVxS4UAVTzWPeylxMBERABESgvgcAq+jfeeMN07tzZhpZhakxJm74999xz5Y2N3l5WAox5Z5iYnAiIgAiIQPkJBG7BM6XsPffcY0OMFXz6qmCMlWUBGrnKJEBXDX3vciIgAiIgAtEgEFjAMxa9ffv2dhIP5o7HqM45rOhZYY7Jb1q2bOlOa19BBJiJLn0URQVFX1EVAREQgcgRCKyiJ+TMMsf4ZuaJZ+82hru98sorZo899ohcBBWg4hNgNsJ0jU7x36o3iIAIiIAIZCOQl4AfN26cHZ9+1FFH2T1j1dmYce7zzz+vtlRstpfqWnIIMG1ukDn+kxNjxUQEREAE4kEgsIqe6GAdTYH+wAMPZIwd8zzLyCojmsSeRLhrvoLEJq8iJgIiEGMCebXgXTzHjx9vl4vdbrvt7Kpy9M0zPIrV5eQqhwBqea0TUDnprZiKgAjEi0BeLXgXtaFDh5rjjz/ezJgxwwp4+uBZ8rV///7uFu0TTgCDOk1Hm/BEVvREQARiTSDvFjxrXS9btsxcfPHFplevXnYeedZrZ2EZjYOPdV7IK/CsFEd3jZwIiIAIiEA0CeQt4OmHRzWLkGcFucmTJ9uYMQbaLf0azagqVIUiwOgJJrWREwEREAERiC6BUE2wIUOG2IVlPv30U7veO8vHTpgwwS4NG92oKmSFIEAFT6r5QpCUHyIgAiJQXAJ5t+AJzvnnn2/XcUdFi8EdxnZPP/20JrkpblqV3XfSu2HDhlopruwpoQCIgAiIQG4CoVrweOuWhm3WrJm55JJLcr9Jd8SawGabbWbHu2u2ulgnowIvAiJQQQQCC3impj355JOzorn++utNz549s96ji/EiwBzzqOQ33HDDeAVcoRUBERCBCicQWMCzctxtt92WFVe7du2yXtfF+BCgr51WO9byarXHJ90UUhEQARFwBAILeAr7rl272udYVOarr75yfqT21113ndl///1T/3UQTwK02pm4CGt5OREQAREQgXgSCCzg/dG77LLL7Ph3zq1YscIuPvPwww+bnXbayX+bjmNGgFY7w98Y8qhWe8wST8EVAREQgTQCoQT8rrvuWs0bJrn54osvrEX9wIEDq13Tn3gQWHfddW2rXWsJxCO9FEoREAERyEUglIBP95TZ7ebNm2fUB59OJtr/3aRFdL/IiC7aaaXQiYAIiEC+BEIJePrZFy5caN+FcF+yZImh3/bWW2/N9/26vwwEaK2zhjubVoIrQwLolSIgAiJQAgKhBPzVV19tli9fngoexlgdO3bUBCgpItE7oE+dRYForUsNH730UYhEQAREoNAEQgl4jOmWLl1qZs6caWjBI+ynTp1q2rZtaw20Ch1I+ReOACp4hDlLurLJcC4cRz0lAiIgAnEkEErAX3rppVYdz1Aqv4r3hhtu0EQ3ZcwFpAUCnW299daze3/6lDFoerUIiIAIiECJCYQS8H//+9/NrFmz7CQoJQ7vaq9DgxC0Zcp93J/NcU9Q/7L5U8xrLnzpwpy+9bg5Fxe3j1v408OL1iRJcUlafJKSNuQ74pKE+JDHkpTPXNqklw3l+B9KwLPgyA8//BAJAQ+0oK1U7ssl4Lkn6h/NVlttlZjlWmHNxx00DcvxkeTzziTFRWmTT8qX9l4nEPXdlJZ70LeRLqRRuV0oAX/LLbcYxsL36dPHLkDiInHcccelFqFx54q9B+Kvv/4a6DXcl0vAc8/KlSsD+Vfqm4hr3bp1rXBftWqV+e2330odhIK/DyFCmgRNw4IHoMAe8mEnJS7kMVxS4pOktOGboZxKQtq4ykoS4uKKE+JSqPKZ7tawLpSAP/fcc822225rGjVqVK21m5TaZFiYxXyOjwDNyUYbbVTM18hvERABERCBhBAIJeA//vhjM3/+fA2LK1EmoOJEZYo+dzkREAEREAERCEJgzSA3pd/D1LTjxo1LP63/RSCw9tprmyZNmki4F4GtvBQBERCBJBMIJeB/+eUXc+CBB9r+d6anddtzzz2XZFYljxtW8VtvvbU0JSUnrxeKgAiIQPwJhFLRs5rcxRdfvFrsW7Vqtdo5nQhHgNkB6XOXXUM4fnpKBERABCqdQCgB36lTp0rnVtT4M6VsgwYNIjHMoqgRleciIAIiIAJFIxBKwPfu3dt89dVXqwXquuuuMyxEIxeeAHPF16tXL7wHelIEREAEREAEPAKhBDwq+hUrVliA7D/44APz8MMPG+aolwtPYPPNN682r0B4n/SkCIiACIhApRMIJeCZ5MbvsKr/4osvzPjx483AgQP9l3QckADj25mhTk4EREAEREAECkEglBV9+ouZVWnevHlm2bJl6Zf0PwCBddZZx7Bwj5wIiIAIiIAIFIpAqBY8/ewLFy60YUC4L1myxCCkbr311kKFq2L8cTPUyVq+YpJcERUBERCBkhAIJeCvvvpquwa8CyFDujp27Kjx2g5IHnta7rWZaziPV+lWERABERCBCiIQSsD7jemY9EZTqIbLMXXq1DGbbLJJuIf1lAiIgAiIgAhkIZBXHzyq+GOOOca8+uqrKS8vuugic9RRR5kFCxakzukgNwG0HqwMJycCIiACIiACxSCQl4Dfd999rRq+ffv2qbBceOGFhrHbe+65Z+qcDrITYH55ZqmTEwEREAEREIFiEQgs4FlBjvVt77nnHsN4befoQx45cqRVNU+dOtWd1r4GAjKqqwGMTouACIiACBSUQGAB/95775lsU9R269bNTJkypaCBS6JnzFInm4UkpqziJAIiIALRIhBYwDO5zUsvvVRj6N944w2zyy671HhdF4zBqG7TTTcVChEQAREQAREoOoHAAp5lS9u2bWuOO+448/3336cC9tNPP5mhQ4eaRYsWmc6dO6fO66A6AYzqNFNddSb6JwIiIAIiUDwCgQU8QXj66aftpDZbbLGFXQO+devWtu/9o48+MrTg11wzL++KF6uI+eyM6uh/lxMBERABERCBUhDIaxz8hhtuaJ555hmzePFi8/rrr9vwdenSxTRq1KgUYY3lO6j0aF33WCadAi0CIiACsSaQl4B3MUXV3LdvX/dX+xoIMP0slR8Z1dUASKdFQAREQASKRiCUgC9aaBLkMcK9cePGmoY2QWmqqIiACIhAnAhIwBchtehzp+WuOeaLAFdeioAIiIAIBCJQK6u4lStX2v549nL/IYBwV8tduUEEREAERKDcBEIJ+Llz55rBgwfbVuptt91mhg0bZq655ppyx6Xs73dq+XXXXbfsYVEAREAEREAEKptAKAE/aNAgs80225jLL7/c0jv//PPNAw88YGbNmlWxNGm5M1eAhHvFZgFFXAREQAQiRSDvPviqqiozffp08/zzz5v777/fRqZp06bmiCOOMBMmTDBt2rRJRRDV/SOPPGIWLlxozx9wwAGpaxz8+OOP5oknnjBLly41jKnv2bOnvf7hhx+aiRMnGp4/7LDDTIMGDao9F7U/Ti2/zjrrRC1oCo8IiIAIiECFEsi7Bc9kLRtvvLGZNm1aChmL0IwePXq1FdIQ+Ajns846ywr5mTNnpp7h4MUXXzQdOnQwZ5xxhvnkk0/MZ599Zlhfngl1TjjhBNO/f3/z0EMPVXsman8Q6k2aNFHLPWoJo/CIgAiIQIUTyLsFD68RI0aYvffe27Ro0cIg4G6//XYrqNPHxs+ePdscffTRhr7pHXbYwarw27Vrl0Lu7v/222/NsmXLzEYbbWQrAqi6mVSH7eeff7YteVrJuHfeece89dZbKT+oQOy3336p/9kOgkwVSwXjhx9+yOZN6hpxb9asmWWQOlmCAybPQZPCFndHXMgfdevWjXtUbPiJy6pVqxIRF/I3FXqlTfSSk65A1rWgzIy7I49RDiTluyE9ttxyy4Ily6+//hrar1ACfsCAAaZjx45mzJgxhpcfeuihVsWeHgpU7whpHHtU8unuu+++s6r+TTbZxE4I88UXX6Se4V7mcOc51pzHUdhst9129pgfnqMSkMvxISC8cwlF7lm+fHku7+x1rOXpRij1KAKECFqTXHEJFIky30TFDUESJA3LHNRArycutfkgA72khDdR8CptSgg84KvIZytWrLBbwEcifRvlQKnL0WIBQdYFkTVB3883GNaFEvB77LGH+fLLL1PvZD14AsFqaX369LHGd/xHOCMsXWZEtZ/uqIWeeeaZts+dfvdWrVpVE7AUlv5aKupwNr/Dqj+Xo/VOyzyXUCRhWEAnlyNOxC1oZSCXf/lc593UdhHycXfMFcAHEVRrEvX4MmsheSgJjookm9ImeqnpGixByqrohb56iGjBo5EoR1laPSSF+UfrnUZpocrnTHIzaEhDVQ26du1qW9E33XST7SOnv5yC4Oqrr7Yq9Kuuusq+H0HshO+cOXPs+HB/wDDAo98dBwwiwrzt8+fPt4KYlgMC2ann/c+W+1iT2JQ7BfR+ERABERCBbARCteAxfPvggw9SanPWip86daptsd9yyy3WQO6SSy4x3bt3N4899piZNGmSbcW7PvcrrrjCnHPOOWb33Xc3Tz31lFXNU4s76qij7PFOO+1k0AqwLG2/fv2yhb9s1yTgy4ZeLxYBERABEQhAIJSARw1JK9v1i9PK/vjjj62ahVa3O7/55pvbCXHoK/KPDx8+fLgNGi32008/3fYj+a/vtddeVvij5q9N/0OA+Ie+RQvIhEanB0VABERABEpAIJSAv+CCC0y3bt3M/vvvbxDiL7zwgrWox/gNa/mLL764WtD9wrvahf/+yXQ9imp5f9gzhdl/XcciIAIiIAIiUE4CoQQ809R27tzZjB071hpGPPjgg4Z14TEsYAKc5s2blzNORX83lY+oV0CKDkEvEAEREAERiDSBUAKeGNFPzuZ3GNolXbgTX7Xe/amuYxEQAREQgSgSCGVFP378eDvRDSp5xsO3b9/e1K9f346Lj2IkCx0mGdgVmqj8EwEREAERKDSBUC34oUOHmuOPP97MmDHDCniM5ZiXnqllK8FJwFdCKiuOIiACIhBvAnm34LGYZ1pZDOl69eplLeDPPvtsOyTuueeeizeNgKGXBX1AULpNBERABESgbATyFvCMV2cWJYR8p06dzOTJk23gt9hii9SkNWWLTQlezLA9ZpKTEwEREAEREIEoEwiloh8yZIjZfvvtzaeffmpnqnNLxb7++utRjmtBwib1fEEwyhMREAEREIEiE8i7BU94WP6V5WEZKobBHcZ2LPHasmXLIge3/N5LwJc/DRQCERABERCB3ARCCXiWfHX90CyXyrS0u+22W+63JeAODZFLQCIqCiIgAiJQAQRCCXgWkZk2bVoF4Fk9imrBr85EZ0RABERABKJHIJSAZ8z7wIEDTb169cy2226b2pjFLskOA0MJ+CSnsOImAiIgAskhEMrIDpX8+eefvxqFNm3arHYuSSewnkfIy4mACIiACIhA1AmEEvDMO49buXKlWbp0qalTp05FzM3u7A6inqgKnwiIgAiIgAiEUtHPnTvXLgPbqFEjc9ttt5lhw4aZa665JvE0pZ5PfBIrgiIgAiKQGAKhBPygQYPMNttsYy6//HILAnX9Aw88YGbNmpUYMJkiIgv6TFR0TgREQAREIIoE8hbwTFU7ffp0c95556WGyjVt2tS4yW6iGMlChUkt+EKRlD8iIAIiIALFJpC3gMfIjMVl/MPkfvvtNzvxTcOGDYsd3rL5j4Edy+HKiYAIiIAIiEAcCIQyshsxYoRdLrZFixZ2Xvbbb7/ddOjQwfTt2zcOcQ4VRqnnQ2HTQyIgAiIgAmUiEErADxgwwC4TO2bMGPPrr7+aQw891LRu3bpMUSjNa2VBXxrOeosIiIAIiEBhCIQS8CeffLLp3bu3OeOMMypm4hf1vxcmw8kXERABERCB0hDIuw+eYPXs2dPceeedZuutt7YLz7z99tulCW0Z3yIVfRnh69UiIAIiIAJ5Ewgl4LGYHzt2rHn33XcNFvSnnHKKXRue/0l0GNdpDfgkpqziJAIiIALJJRBKwDscK1assH3wWNHTwl1zzVp557yN3F7q+cgliQIkAiIgAiKQg0AoiXzvvfeavfbay+y6665m8eLFZtSoUWbKlClm++23z/G6eF6Wej6e6aZQi4AIiEAlEwhlZPfqq6+ac8891w6LqwTVtSzoK/kTUdxFQAREIJ4EQgn4O+64IxVbZrYbN26cnZP+uOOOM/37909dK8UB7w8qgLmP+3O59Bb7ZpttZrsgcj1Xqut0hay99tqB4lKqMIV9j1uhL2gahn1PqZ4jXZIUF/JakuKTlLiQLpRTdI8mwWHnlKSVOslnUUibUAKeDLVkyRKDqn7kyJFm0aJF5sgjjzQ777xzyfMameKXX34J9F7uyyXguQfbAufwn4QK+g73XDH3CMVVq1ZFIgPVNp6kB1uU+NYmTnzYSYkLticUvEmJT5LShjKJcioJaUMZS2Vl+fLltfn0IvUs6VIoAc/MsWFd3gL+tddes631Rx991LRq1cpsvvnm5v333zcbbLBB2DBE+jkZ2EU6eRQ4ERABERCBGggENrL75JNPTOfOnQ0rySHYZ8yYYe677z6D+jqpwh1mEvA15BydFgEREAERiDSBwAL+u+++MwsWLLCW8x07djSsBV8JLr0/vhLirDiKgAiIgAjEn0BgAd+lSxcze/Zss+eee5rrr7/eCnjWg/f3V8cfx+oxSIpRzuox0xkREAEREIEkEwgs4IGwySabmMGDBxuGyU2aNMmq6j/66CPTpk0bc8UVV1hjuyTBcsYfSYqT4iICIiACIlAZBPIS8H4k7du3N9ddd5354osvDMvHMtHN5MmT/bfE/hhr9aTOzhf7xFEEREAEREAEshLI24o+3TfG/R5yyCF2S78W9/8ysIt7Cir8IiACIlC5BEK34CsBmQR8JaSy4igCIiACySQgAZ8lXWVBnwWOLomACIiACESagAR8luSRBX0WOLokAiIgAiIQaQIS8DUkD7YFTNMpJwIiIAIiIAJxJCABX0Oqqf+9BjA6LQIiIAIiEAsCEvA1JJMEfA1gdFoEREAERCAWBCTga0gmCfgawOi0CIiACIhALAhIwNeQTBLwNYDRaREQAREQgVgQkIDPkEzMXscsdnIiIAIiIAIiEFcCEvAZUk6t9wxQdEoEREAERCBWBCTgMySXxr9ngKJTIiACIiACsSIgAZ8huTSDXQYoOiUCIiACIhArAhLwGZJLKvoMUHRKBERABEQgVgQk4NOSS2vApwHRXxEQAREQgVgSkIBPSzbU8wh5OREQAREQARGIMwEJ+LTUk3BPA6K/IiACIiACsSQgAR/LZFOgRUAEREAERCA7AQn47Hx0VQREQAREQARiSUACPpbJpkCLgAiIgAiIQHYCEvDZ+eiqCIiACIiACMSSwNrFDPXKlSvNI488YhYuXGjatGljDjjggGqv+/77782YMWPM0qVLTaNGjez1tdde24wdO9ZMmzbN3rvpppuaU045pdpz+iMCIiACIiACIpCdQFEF/IQJE0yDBg3M4YcfbkaNGmVmzpxp2rVrlwoR11u3bm123HFH89RTT5l33nnH7Lzzzmb69OlmyJAhRkPWUqh0IAIiIAIiIAJ5ESiqgJ89e7Y5+uijzVprrWV22GEHM2vWrGoCvlu3bmbjjTe2AWb1Nlryv/32m/nxxx/NBx98YKqqqkyXLl2qRYhWP5tzVAKCrvzGffgZd4eWgxXvYBV3R1wYmhg0DaMeX+KTlLjw3SZpZcUkpQ3fTFLi4+KShPLMlU+UAYWKT22GbhdVwCOwN9xwQxtn9ghuv9tss83s348//ti8++67ZtiwYVZ4I/TZvvzySzNy5Ehz9tlnpx6bOnWqGT9+fOp/s2bNzIknnpj6n+2gXr162S7H5hoJnoSKigOOIKlfv777G+t9ktKGuLAlZfGlJKWNq3jRhZkEl6S0IT3q1q1bsGT56aefQvtVVAG/wQYbmOXLl9sWzYoVK1KtdX9oZ8yYYUaPHm2GDh1quJ8NQY/bdtttzdtvv22WLVtmXGWAVj+b382dO9f/N+Nx8+bNzfz58xMhGKkdrlq1qmA1xIzASnSSef+33HJLs2DBghK9sbivQRj+8ssvxX1JiXznm6Py9c0335TojcV9TZLShgoxmszaFP7FpR3cd4Q7mlhkRRIcjU7Ks0K14J2WOwybolrRN2nSxDjhO2fOHNO4ceNqYaRP/oUXXjBnnnmmqVOnjr22ePFi21/PH4z0qBhssskm1Z7THxEQAREQAREQgewEitqC7969u3nsscfMpEmTbCu+b9++NjRXXHGFOeecc8yjjz5qhfhNN91kz9Pf3rNnT7PRRhuZu+66yyxatMj06NHD9gNmj4auioAIiIAIiIAI+Ams4fXlFt3qjFY4Kph83K+//moFOyrCXM5pCbLdh4p+3rx5UtFng1SGa1LRlwF6wFdKRR8QVBluk4q+DNADvhIV/eeff15QFf1WW20V8O3VbytqC969Kl/hznNJsUR2DLQXAREQAREQgVISKGoffCkj8v/bO/MQnb4/jh8lIcq+ZB2GQbJkTWSEZCSj7ES27EujyfqHYhKKlCKSLDGWP6xZ/kDJkrImE8ofsmuyJP5Sv9/rU3dc032+8zD3ue4zz/vUzL3zPPeec+7rM+d+zvI5n4/KEgEREAEREAER+EVACv4XC52JgAiIgAiIQJUhEMka/L+mhZlBYWGhKyoqcqz5KsWHAM6QTp8+7QoKCuJTKdXECLDDBd8V+fn5IhIzAnv27HH9+vVz3bt3j1nNVJ1Vq1a5tWvXxmL3V0aM4FHw7LGMwJ5Q/91/SIC9ohhhKsWPANtUMXZVih8B2kxY+6zj93TpXaM46ZqMUPDp/e+i2ouACIiACIjAnxOQgv9zZrpDBERABERABGJPICPW4JEC4WdxfYsPZ6X4EGCNl5gD2dnZ8amUamIEPnz4YI6oCOWsFC8CeAZt0KBBmQvveNUus2tDNNScnBwLBvSvSWSMgv/XoFW+CIiACIiACERJQMPZKGmrLBEQAREQARGIiIAUfESgVYwIiIAIiIAIREkgEle1UT5Q+bLY6nPixAn3/v1717FjR5eXl1f+Ev0dAYHLly+bHQRFEcN67ty5jsiBp06dsr3WgwcPdj169LA1X8krAoH8v4jS0lIL+DRv3jwrMEgefHH16lWTHXKbNGmSxYcvKSlx165dM3mNHz/eNWvWzPLQr3AIYDNEjI3Ro0dbhkHtJ9G7LUhe4dQqs3MhPO/58+fd58+fHXYp6JLq1asHto+gtpRIXqmkWuVH8FeuXLGXz5IlS0zJE6JWKXoCGJ7Mnz/fLV261M2cOdMqcPz4cTdixAg3Z84cd+nSJYttLXlFI5snT564ffv2mZL3SgySB8ZcL168cIsWLXJZWVkW3pl492fPnnUzZsxwY8eOdcXFxV4WOoZAAAdDROGEs5eC2k9QWwmSl5eHjpUjAO8OHTrYe4yc7t+/7xLxDmpLQfKqXI0qvrvKK3g8pRGGlqh0PXv2dM+ePauYiq4IlQAOObCWf/z4sbt7926Zg46vX7+6Vq1aWXjgdu3aWbQ/yStU9AkzwxkHHS5/SiQPvKXRfnr37m3th9kw5Fa7dm3XsmVL9+PHDxvJ+/PS+d8TIFz2hAkTyjJI1H6C2gqflZdXWUY6qRSB3Nxcm2UkE4KhMZJPxDtRW4paF1V5BY8QeBGROKJolKIlwNRWnTp17Ofbt29u9+7dNlpnestLnmwkL49Iao90dlEkXvr+/ftv23qC5FGrVi1rP34Zcb/3uZeXjpUjMGDAgN+28wa1H0rwy+G/5FW52uhuj4AXPvn58+fuwYMHbuDAgb/JwGsHybQlT15e3qk6/nrDpqqEf5wv0Bmt0OPCvSOKRilaAjSM5cuXW6H4Irh3755NP/pd1HqykbyilY1XGjEa/kseXIfb2rp169oaPG3KS3zu7yx4n+sYDoGg9vPlyxfrWJV/t+Hnw5ONJ69waqFcIMDS1rlz59yCBQuMv/e+4juPd0VtKUpdVOVH8EwhYqxCYr2kRYsWdq5f0RHA4OTgwYNWIIYmKJJ69eq5GjVq2IiQGAEvX740WwnJKzq5+EtiCj4ZeWBc1Lx5c/f69WuL7cD0PPLzz8b489V55QkEtR86WkFtpfxnclJUef5eDthvYR+xePFie3/xeRDvZNtSFLqoyju6+fTpkxms0Lui5zR79mxXrVo1T2Y6RkQAoyFk8fHjRzdkyBDXv39/x1QX1sEo/S5durjhw4fbNVwreaVeMD9//nSbN292a9asscKC5MH6L7samA5mXRGLe6zpr1+/bjYVTB+PGTPGPHelvsaZUwLKBEt6diiQgtpP0LuNzlaQvDKHXOqedOPGjfauqlmzphXCevqwYcMCeQe1pSB5pVoXVXkF74mbUSMjFKV/RwClzRQiPVx/8pS5/zPJy08j2vNk5UHHDHnK/XM08knUfoLaStBn0dQyM0tJxDvZtpQqahmj4FMFUPmKgAiIgAiIQBwJVPk1+DhCV51EIEoCLIsodniUxFWWCMSDgBR8POSgWohAqARQ6OvXr7eIY9g7EHkMxzSsmac63bhxw3Xr1i3VxSh/ERCBCghIwVcASF+LQDoSuHDhgjt8+LB5ocMZB1bvb968cRs2bEjHx1GdRUAE/oKAFPxfQNMtIhB3Ajh0wkKXnSMk9qnv37/fTZ061f7GGQee7Niqw+gea21vdD906FC3d+9ec03bqVMnd/PmTVdQUOCaNGniJk+e/Nt127Ztc61bt3a9evVyFy9etLz9v7DqxvqY7USUVVRUZNvquObQoUN2b8OGDa18rIyVREAEwiMgBR8eS+UkArEhMGrUKFPIbdq0Md//+MauX7++uTGlkjt27DA3m/jTvnXrlnv06JE7duyY1Z8R/8mTJ20rHPmwFQgHUXjvevXqle0F5kL/devWrXPTpk1z7969szy8XyhxZhLwXU9goaNHj7o7d+6Yo6OFCxe6M2fOWD50SPBwqCQCIhAeASn48FgqJxGIDQFG7AS32LVrl+1fJ6BPdna2xQKgklOmTDHnQ4zK2ddLEA2/ciYoEKPuiRMn2t7fwsJCi6BF1L/bt2+XPSf74ulEEHQG//REmPOnAwcOWAejffv2tld+1qxZpuyZXcBOgDrieQ3lv3r1av+tOhcBEagkASn4SgLU7SIQRwJeJDKm3nGSgiX9uHHjzNET9cUXwbJly1zTpk0do3Qcc+D4xkueBzRccXKO5zQSviTY/+4l/KZ7CccfjOr9ibX/rVu3mnLPycmxc2YNcOfJrAIdAKbuqcPTp0/9t+pcBESgkgSk4CsJULeLQBwJEJKXaXgvoVBXrFhh0eBYF2f9nbV3vKUR5a9v375la+Pck6zrWToGXiKftm3ben/asU+fPm7Tpk3u7du39sP1R44csdE7HYKHDx/aD97xCEmrJAIiEB4BKfjwWConEYgNgfz8fBste66AieKHW9rc3FwzvistLbVoWEzRe+vqeN3608SaOvexhl9SUmJ5+vPAjS3GfRjQ0bFgnX779u0O/+pdu3a1sglANHLkSP9tOhcBEQiBQJWPJhcCI2UhAmlHgLVz1tSnT59ufuRRroMGDXLFxcX2LKypYxm/c+dOU7ysoftH48k+MCPzrKwsU/IYybEeT4fBS3l5eTZiZ2TfuHFj17lzZ7dy5UqLxIVhHiE3sRegA4Jhn5IIiEB4BOSqNjyWykkEYkmA0TJKlPV0f0LpM5Jv1KiR/+Okz1HaWMdjXMcaffkYA/6MsJInUY/yCfsAlL+SCIhAuAQ0gg+Xp3ITgdgRSKTAsWRP9N2fPAShfytKQYrdu0fK3SOhowiES0Br8OHyVG4ikDEEtmzZYlvpMuaB9aAikGYENEWfZgJTdUVABERABEQgGQIawSdDSdeIgAiIgAiIQJoRkIJPM4GpuiIgAiIgAiKQDAEp+GQo6RoREAEREAERSDMCUvBpJjBVVwREQAREQASSISAFnwwlXSMCIiACIiACaUZACj7NBKbqioAIiIAIiEAyBP4HS3JuAZD28cMAAAAASUVORK5CYII=" alt="plot of chunk unnamed-chunk-7"/> </p>
<pre><code class="r">ggplot(data = ac, aes(x = visitors, y = avg)) + geom_line() + geom_ribbon(aes(ymin = ymin,
ymax = ymax), alpha = 0.2) + ggtitle("Bootstrapped Logistic Thompson Bandit (conversion last 50 samples)") +
ylab("Average Current Conversion Rate (last 50 samples, 90% confidence)") +
xlab("Samples")
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-9"/> </p>
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