Stanford-StatisticalLearning/ch10.html at master · PeterSchuld/Stanford-StatisticalLearning · GitHub

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<body>
<h1>Principal Components</h1>

<p>We will use the <code>USArrests</code> data (which is in R)</p>

<pre><code class="r">dimnames(USArrests)
</code></pre>

<pre><code>## [[1]]
##  [1] &quot;Alabama&quot;        &quot;Alaska&quot;         &quot;Arizona&quot;        &quot;Arkansas&quot;
##  [5] &quot;California&quot;     &quot;Colorado&quot;       &quot;Connecticut&quot;    &quot;Delaware&quot;
##  [9] &quot;Florida&quot;        &quot;Georgia&quot;        &quot;Hawaii&quot;         &quot;Idaho&quot;
## [13] &quot;Illinois&quot;       &quot;Indiana&quot;        &quot;Iowa&quot;           &quot;Kansas&quot;
## [17] &quot;Kentucky&quot;       &quot;Louisiana&quot;      &quot;Maine&quot;          &quot;Maryland&quot;
## [21] &quot;Massachusetts&quot;  &quot;Michigan&quot;       &quot;Minnesota&quot;      &quot;Mississippi&quot;
## [25] &quot;Missouri&quot;       &quot;Montana&quot;        &quot;Nebraska&quot;       &quot;Nevada&quot;
## [29] &quot;New Hampshire&quot;  &quot;New Jersey&quot;     &quot;New Mexico&quot;     &quot;New York&quot;
## [33] &quot;North Carolina&quot; &quot;North Dakota&quot;   &quot;Ohio&quot;           &quot;Oklahoma&quot;
## [37] &quot;Oregon&quot;         &quot;Pennsylvania&quot;   &quot;Rhode Island&quot;   &quot;South Carolina&quot;
## [41] &quot;South Dakota&quot;   &quot;Tennessee&quot;      &quot;Texas&quot;          &quot;Utah&quot;
## [45] &quot;Vermont&quot;        &quot;Virginia&quot;       &quot;Washington&quot;     &quot;West Virginia&quot;
## [49] &quot;Wisconsin&quot;      &quot;Wyoming&quot;
##
## [[2]]
## [1] &quot;Murder&quot;   &quot;Assault&quot;  &quot;UrbanPop&quot; &quot;Rape&quot;
</code></pre>

<pre><code class="r">apply(USArrests, 2, mean)
</code></pre>

<pre><code>##   Murder  Assault UrbanPop     Rape
##    7.788  170.760   65.540   21.232
</code></pre>

<pre><code class="r">apply(USArrests, 2, var)
</code></pre>

<pre><code>##   Murder  Assault UrbanPop     Rape
##    18.97  6945.17   209.52    87.73
</code></pre>

<p>We see that <code>Assault</code> has a much larger variance than the other variables. It would dominate the principal components, so we choose to standardize the variables when we perform PCA</p>

<pre><code class="r">pca.out = prcomp(USArrests, scale = TRUE)
pca.out
</code></pre>

<pre><code>## Standard deviations:
## [1] 1.5749 0.9949 0.5971 0.4164
##
## Rotation:
##              PC1     PC2     PC3      PC4
## Murder   -0.5359  0.4182 -0.3412  0.64923
## Assault  -0.5832  0.1880 -0.2681 -0.74341
## UrbanPop -0.2782 -0.8728 -0.3780  0.13388
## Rape     -0.5434 -0.1673  0.8178  0.08902
</code></pre>

<pre><code class="r">names(pca.out)
</code></pre>

<pre><code>## [1] &quot;sdev&quot;     &quot;rotation&quot; &quot;center&quot;   &quot;scale&quot;    &quot;x&quot;
</code></pre>

<pre><code class="r">biplot(pca.out, scale = 0)
</code></pre>

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udSz1I4J6q+ucR/hklB+o0srwnCyS6+Z4Ntkt2I/D1gRhW285tUd3tfji1NAVMgwxVQg2dmCmSiAvM4qMPgjtDB9SVcEopfT1gdgarYLmy0sAobfso2faqwnd+kutv7cmxpCpgCGa6AjeAz/AQ34MN7m2PfHFqFNDiC8LOh+MmETwzix7GcDYvgaWgOsnjpD7NuE1An+UFYDLPgIpDFS+/EuhGRHM5dwPIK+AC076vB2wQC/wSla30/kIW3L0ux/00BU8AUiKFAdow0SzIFMkGB1RzEC9A/OBg53F3BT88rWc5/fWgEd8FBsCk0gdMhXjqrIs5d6zVLsBlou35waRCPl65tNgZZSzgftM2ecAgcCzKVdzioztfAKGgN4e2JmpkCpoApEFsBc/CxdbHUzFBgLIdxaHAocqBTYFUQDy80Ta97oS8UgBytn76Plc7qcltJqD30Bj2Xl9P+FuKls2oNU4fjZfgGHgdfX4LuXtCsgI5jDvQBM1PAFDAFElJAjZeZKZCpCkzgwHqCptsHwGiIZUUkavp+EOjZ/YvQGeKls6rcNOX/GPwPfoKbQJ2EeOmsWsOmhmKait8kFNdjBm8fEtCo3swUMAVMgYQUMAefkEyWKU0VkIN+DQ6GPWA8xDLdB3KgeiteLIU7IV46q8pNzvxmaAtHw4FwAsRLZ9Uapul9b1sRKPQRlnre7i16nU+3pSlgCpgCMRUwBx9TFkvMIAXGcCyXwTsghx/L9Bz+M2gHn8NLIIuXXra27P+jWDwFmubXdjNAFi+9bO2f/+9FUJ2DdUDT8+qQeBtIIA+2hi3hLTAzBUwBUyAhBXITymWZTIH0VUBO92Hwb7fHOpIFJF4DcqDLoCkcDvHSWVVujxDSM/vvIAf0MzZN2S+HWOl6sz9sc4h8BPr53iugl/28tSEwE+TkTwc9j1enw8wUMAVMAVOgDhT4g330rIP92C7qRoGWUbtZi3g+RKdHZYu83b52dCJxvfUeK11Zh8HVoPKbQdgKiXSDdUEdBzNTwBSoXQX0gSy9t5MxZlP0GXMqM+ZAzuJIfoONoo5IN56mrJO1q9hADlRWCHKaFdnCYOW+LKfAF/AV3AddIZ6tYIWe3UdbvHTlOwPWA9XpfYhli0lcHWuFpZkCpoApUJEC5uArUsfW1ZcCenR0Tw3sXCPfyyHZ61xT65rWHwIbw6ag6fPRoOn7mjI5f734p2n9PhC2C4nMDSdY2BQwBUyBZBRItuFLpmzLawpUVQE9N98AjolTwIakD4f58An0BZnegB8J4+AreBpk08E/ux5AWM+1Z8PJEMtOI1EdAz0bl+kFOnU4/gXqfMgGwZfwO3wIvUB2EQwFOefbQfeYZiVU1jy4Avx9t5KwZgg6wQiQXQDngbaZCY+DHhPIusBEWAJ6Hq8pRTNTwBQwBUyBWlLgD8q1Z/A1J64cmxyzHOZP4B1zeIp+EulyiHL0p4Km9PUm+o6wCq6EA0DPr0uhNWRBIchBtgdN9yuvnpFH20ISvMOOXqe4HLIc+7bQHDR9rxG+7Gb4GTQLsD0Mgc+CcG+WX8NgkKmD0hl6wAyQ6bm89t8POoDyDwKZOhLqADQBvXGv+muK38wUMAWqr4A6zGpnMsb8SCJjDsgOJGMUeI8jeQZuizqidsR3g8tAI2I512+hP8hWwJXwAsjxyxaDHL1MDnQOaGT8K3SEsOl5vZz20nBiVFgdjx1Ao/IS0Ci8DXh7nsCzMA2OhgeC8NssR8JxUJGNZeXLoFH6a9ARZOrM3AJFUAjLoSWYmQKmgCnwFwXMwf9FEktIIQUupS57wX6hOmlUKwct5+7tHQJtg8hcnxhnqVGztyUE/PS3Tysm8A1s5hNCS6XlgToOR4JG3V/BYRC+l8J1UH2ngjeFfV19WvRyQShhGeHcIC5nPhm0fjjkQHi/RM1MAVPAFChTwBoHuxJSWQGNvP8J90CzoKKavpaDXDeIa7EVzAziq4NlvIVG3JWZRuaaIg/bOkTeh93heDgc5Ng1cr8J9AjAW7gOP5PY1a9gqTfmvw/FYwVLYyRqKl4v+ekRgI5/T9A+w/slamYKmAKmQJkC5uDtSkh1BR6jgpqC7xVU9DuWcuaDQc6tO/QAjeKjTY5W09lyzsnYUDIfBydAAehZ/+2gKffxIGerUb6erasOJ4BG9rHsFRIHguqg7QbAFEjWmgYbaP96DKEyG0G8/bLKzBQwBRqyAubgG/LZT59jP4OqaupcJqetEfRZMAteDcJytrFsIomaMg+PomPlC6d9R0QO/jT4ET4FTZNrnzJ1OtrBdPgcNLJvA40h2q4joQjUKdF0vuqstGRtNhs8BNrnB6DHFurUbA5mpoApYAqYArWggL1FXwuiJlhkK/JpBF2ZNaksQwXrNXLWKD6WtSAx0U6yvmYX/bw/VpmVpelYYnUkKtvO1psCpkDFCpzL6gkVZ0mvtf7lnfSqtdXWFChTQC+bJWLLEskUJ8/vcdKVvKiCddGrlkYnVDFenWOp4i5tM1PAFEhHBRIdfaTjsVmdTQFTwBQwBUyBBquAOfgGe+rtwE0BU8AUMAUyWYGG7OD1XFW/IzYzBUwBU8AUMAUyToFMd/D9OGNTQb+n1u+H9bMib48TONRHbGkKmAKmgClgCmSSApns4PV29W1wDegnRVvCaLDfDSOCmSlgCpgCpkBmK5DJb9Fvy6n7El4MTuGBLPX7Zf2W+JggLdHF82RsFidzPumJ/FQrzuYNJlkdK2n4S4ocsX6ypt/U+9/Xp0i1rBqmgClgCpgClSmg3y/PgPCIXc/d9eET/cGOsTAAqmv2O/iKFWzNanWy9JhkFujDMadCde0qClDnSlYI3RRIwPYlzxTQh2f0yVhdB8l8BIfsldp8cnQGfWFP16CZKWAKpL4CGfc7+NSXvHo1HM7mcigazXvTKHIqrARz8F6V2luOpOg7wM8WbU64up0ivRxZCv6dikLCiTj4Q8j3E/jrQTMvp4O+MKcOYU2Zd/DqgOgLd2amgCmQ+gpknIPP5GfwupzOh94wV5HAfmO5K/wdKvujH8EmtqiGAvrympzxqqCMr1lKf39O9J13dcTkFD+BviDbDp6LhMr+68lCo23ZE2WLyGdb1w/C6qxpVD4bTg7SohenkXA5fBSsUL3ugX+B74AMIqxHO/rAzYfQC2QXwVBQvW8H3TtngcqaB1dA9P3UibQRILsAzoNJoNmMx0GPCWRdYCIsAc1yqKExMwVMAVPAFKhnBao7Gq3n6tf67rdnD3Jon8F1sDNo5OxNDk9OUI7+VFAHrC0onxy+N3UKvGNel3ApaPpfZRWCHGR7GAjqTPjRPcFyW0jIO+zyxFBADlmOfVtoDvfBKyC7GX4GzQLomIaAjklhdSLVcRkMMnVWOkN4in4Yce2/H3QA5R8EMnUk1AFQZ+hQUP3XAzNTwBSoOwXUsZ5Qd7ur/T1Fjzhqf4+2h4amwDQOWL9gGAF7wJswDvSoRH+wZTe4DDQKlkP9FvpDRaZOgEwdh9JIyDk50DmgkfGv0BHClk9ETntpODEqrOn7HUAdiRL4AsJT7M8TfxZ0TEfDA0H4bZYj4TioyMay8mWYBa9BR5CpY6P3QoqgEJZDSzAzBUwBU6DKCpiDr7J0tmGCCqxDvh9AI+CdYFOQ0zwHNJKVU5Zz9/YOgbY+ElpmhcKxgho1e1tCwE9/+7RiAt/AZj4htFRaHqjjcCTMgK/gMAjfI5qe96a6T/WRIByr3qEsbkEosoxwbhCXM58MWq/HFTkQ3i9RM1PAFDAFklPAGpHk9LLcySlQQHY53o1DmxUSfhS2AE1Zyylqyt3bVgRmwmrQ9t4qG9FqxF2ZaWSuKfKwqQPyPuwOx8PhIMeuTshNEO5YqE7efibQ1UdY6iW/70PxWMHSGImaih8N6gBJiz1B+wzvl6iZKWAKmALJKWAOPjm9LHdyChSRXVPS/4NNgk07sZQjfR2+AznzwSCH1h16gEbxGs22Bz2b1zqNrL3Tk6NV2XLOydhQMh8HJ4A6Dyr7dtCU+3iQs9UoX8/Wta8TQCP7WPYKiQNBddB2A2AKJGtNgw20/xWgMhtBvP2yyswUMAVMgcoVMAdfuUaWo3oKDGLzX+BT+AM0Wn4ORoIctZz9WTALXg3CcrAaDT8BmipXJ+A7CNtEIpoyD4+iw+tjhVWGHPxp8COoTpom1/5lj0E7mA6fg+raBhpDtF1HQhGobqqj6q+0ZG02GzwE2ucHsB+og7M5mJkCpkBmKKBOuwYCZmmmgJxWzzSrc31UV51JOUuNjGNZKxJjrdMIOT/WBqQ1iZOeSLJGzuFHAOFtWhBJtPO7Nnmjn/eHy0o0rGOJ1ZFIdHvLZwqYAtVT4Fw2n1C9IiJba1AzJChH7cgdoEGOXp59CbaEOrFEG7E6qYztJKMVKOHofoDSOEepKflY65aQXhxnm2Vx0hNJ/p1MGoHHskUkqr6J2FIy6catrulY1Fk0MwVMgfRWQAOZ9sEhaEZuB9gVlD4RnoY6MXPwdSKz7cQUMAVMAVOgASpwMMesEbwe+elnvcNAM5LrQ62bOfhal9h2YAqYAqaAKdDAFOjE8XaBt0C/jvGmx3+rQLOEtW7m4GtdYtuBKWAKmAKmQANSYCrHKieuj2LdC1eDfhWzI+hXOg9CrMeRJNes6Q1iM1PAFDAFTAFTwBSoGQUmUYyQ6WXerrAS5oOc/NdQJ2YOvk5ktp2YAqaAKWAKpLICTGdn8bOa3Jlxfp3Dm7SrNy77VkUyh6GXed8NNpjNUr+62R/GBWm1ujAHX6vyWuGmgClgCpgC6aDACXyNch2X3bOFy30yVn35Wc3H/KDnsljrkkjrSF5N0bdOYpsqZzUHX2XpbENTwBQwBUyBTFFgHm+5L3ClC/Nc8QG1eEyfUHadOHcdg71kV4tn0oo2BUwBU8AUaPAKNEeBehlMm4Nv8NeeCWAKmAKmgClQwwocTnnvgz6mpa/YrYBCuAv0HL5OzBx8nchsOzEFTAFTwBRoIArszXHeCnper6/X5UAz2BP0VU79fK5OzBx8nchsOzEFTAFTwBRoIAr04zivg5dBo3d99lqfs/4OzoMOoGn7Wjdz8LUuse3AFDAFTAFToAEpwNv2kdF6LP+6Netawm91oUe9PPiviwOzfZgCpoApYAqYAvWgwBj2qTfxC+E90Cien9hHPlkrB38a6Et3tW7m4GtdYtuBKWAKmAKmQANSQH8Z8kjYBrYATclrip5f4rnXoE5G7+ynfl7d147NTAFTwBQwBUyBDFZgOscm6s1iPSOot8rYjk0BU8AUMAVMAVOgZhQwB18zOloppoApYAqYAqZASilgDj6lTkf6VOYP5zZc6QpKi13B5Ohak3a/1vGgqVX0umTilPOflS7/4mS2sbymQJopMJj6vhlVZ30gZUZU2njiylsV25eN+sbYUPfu+THSzyHtFegB0fWIkf0vSd+ToufPFdmNrLymogy2rvoKmIOvvoYNuITSkiznNubPJZV/W3li5L2O0l0asCh26KZAMgpwy7ieoL8XLlsf1gL9dnoTkOll6J1ggiJVML21vWGM7R4ibWCM9GNJGwmfQh9I1nT/f1HJRtez/qZK8tjqaipgDr6aAjbwzUtLnXs+3+X19zrs5HL78lcXy0f1xS5vO0bhz/n1xHsSH6s4y4tgKKP9uaTfTlIWy1uI/6CZgSxX2s5vx2xAS/KOgcXFLn/6Spe7m9aRfxviI9lmHMuvfozzpx59ObY0BVJMAX38ZBFsG9RLX0GTI9fb1vpgimw7+AlmAn3qyBfS5rLUW9mXBmks3HEwG1Te09AcTgKVqRGzHHfYniKyJWweSlRY6GtrnWAEyC6CoaD9Ru5VljfDfNBPwa4FPxvwMOFNoBuoE6H8qpN+H66ficlOhhMjIee6sFRHZwnMgnPBrAYUyK6BMqyIBqxAiVs9NstlH+YlyHY5R5A2xsdx0mvRCdg4Kt5R8VJXqin8v5e40iEsH8VZn0n7tRvxPVh3J2n6u8kRa+TyH6ScJUWumJ+dlN5W6nJ8w7NWFg0X20wrcVnnM5Wgn6iYmQLppICcW++gwvuwVFx4B78rYTl9mZy4HPWBcAhoBL49NIK74CDYFJrA6fAovAH/Bjn9sC0l8hwcFUpU2XL8+lmXyvT3buReJR65V4OlOtl9QaNxOWV9wEUzBUrbBLS9yvsFtgKV8QjIFNZshWwUjIO2oHJugvWgtq0dOzi7tndSn+Vn1+fObd/pr8BnbpUaom1oKVoQ0FTi7nPK0hI6uFJmAApc8bP5buU0OgqH4rxHEv8KnmDdBypkSdnNvj/xYUXO/fGbWzma5PlFLt+PBlaQ/8pGruiFhHZqmUyB1FKAW6fcwe9FeFLA7ixzIOzgBxEfAd/BDHgQ5OxLQe25nGsByPnL8XLLMFlW1vFVONoeIiHs4I8hPjI6UxB/nqVG9tNgANwLX4E69KqzbB6oc7CvIpg6EVeB6rQu5EG0nUrCLaD6FYK2V2ehtk26qkOVsWYOPmNPbd0cWE8aD0bbrzRyeQczPb8n7cyUTmV/UCFeBbLCK2iVNOUXMcKbMuKPOPUg5R0tGb2rp12a7bJeX9sVzBAUshl5I6OecBll29n/pkBaKTCR2u4EXeFn0IhXfA9bwM7wOsg0Qr4AZgQovC3IOR4Bg0BO9kXoDJXZa2SQ49VLcbqfVsPbEMvK71VWbgIfhTK9Fwr/TrhfEF8QLNVxeAPkc9QG6HjPBtVVswKTQXnHgzoDU0BlTIBTYCaoM6E6qjOgvI9DM5BJl+EwHz4BdXRk3eAhuB0WwcewNWi24GboA6MgI01im5kC1VIABzsmy2UdwvT8oUyTjwkXVuqy1GDoho1YicuO7plrvbfZ5O/iI5S5icLfMqJnsWS5K+qW54raiBWuaOtv3EqNXmThMspS7H9TIH0UKKSqq0AOWs7e2xsElPYDeEcpR3oxtAnoxPJoUFv+IchRC42c74TKTPfOo3AkqBw5w3gWvs+mkal7KKP26e0PAuqUdwSah4gdy/9+hu04wrrPn4LjQfH/AzndZaBjGQrqQGwKh8OuoE6LOgDqQGjf2sfeIHsMWkAv+C88ByqvEWjfv4AeE0yF6+BHuBymwOmQkWYOPiNPa90e1CJX/DJ77M29vMcPrujV8N5L3MoFdNfbc8erh53FBaeGhKS/GiPyCUzTH8Gd14Q5ug7k2E25GNYUs5iwlss/60pufu7u1o1cwRebufwttN7MFMgABd7gGAZD2MErfDJMAG9yXCdCc9B9pNHnubA+fAZyep/DS+BNTlOj9Hj2ECsOgL/Bw/EyRaWPI34CtIfdoQ94KyWgmYF9goQeLJuAOieyQaC6/grqvKwGOecVoF8Q5MDboBcLZXeAZg+ehFy4CebDJNgRdMxqKy6DeXAffAv9QabOzlWgfT0BHaEEpMtKoEnJTDMHn5nntU6Pqi3PxdnhW/DhxmU3afn+GzHNyN3+RB5vuPNm/MzFrlQ3YEyb7orpWZcub+EKvsl1BfS0s971GXkMcD3lHHMJZeS7Am7+0uE8d//Er7elKZDmCkyk/hvAm6HjUFgj9bCDl2OlD+wK4RuQM7wRNMK/BnQfysEPBY30ZZNB09FKi2VytnJ038GcWBlipI0i7WvQrMEtoJGwOuLe9Lx+nyByLMtHgFs4Yhvy//ZwBujYtO+z4AOgyYh83nVzlt7mBwH6/RHH/lsQ1/5yoQOo3uG25R3iNE0Rkzbe5NS1jZkpkJACcm49E8rZcDM1bcXIIL+s4ZFT1o04FnSj/8WYS1uHubucv6wggTu7JYusWOsqSOvBuhkVrLdVpkC6KaARsYhlukeiTY4z5j0VnTHB+J7koz9fbs8QOrM8VnaPziS+HWjkHHbYjxA/Bbw1JaCOTGOYA13AWyGBbkFES8W9aYpdnQuVvQrCsxSTiQ+GXqBHfN7UVvv4QMLqiERsX+duPcBlFQbRjFjYCD4jTmNKH0Qzajd+AVNmdLe3Ibw1tAeNGp6Av9h6PG8/Is5zdQpbyAZ+JPCXbeMkfEp6nzjrLNkUSEcFNBIVsUz3SLRp+nt1dGI14nLGelxwNtwGuq/l5L3pHn0YrgI5+q/Bm7Y7EZqDOuuaDTgNNFiqimnmQfuQQ1d5ej6vTr1G8RWZ9Funogzpvs4cfLqfwdSvv3r6DN4jv8NVL1um51//hgfAT5ftTng6LIYxsD7IdI2eBR+BRv5XgL9uJxL+F/wE/WAjeBEWwQgYDVtBpyDOIjJKuIelyvoFngb6DWamgCmQhAIa+R4Hun+nwU5AP34N00j9ABi5RmrZb95/JK0QvoEc0GOGqpo6LseD2olZ8GoQ1iCiItNsYhf4uKJMtq5hK2BT9BWf/2tZfX/FWSLT7kvJo2d1mqqTc74ZZENAN+r20Bs0ElBPXTYHdDOrEdHzy8lwO7QNlqUse4J68zNAdjG8Bq2gMyjdl0fQzBQwBepIgSbsR9Sk6b7WKD5R02BhLWXOxCn6REWwfPEVMAcfXxutUS/+hlCWgwm/Dx8EyPlqem4qrB2wGcsvQfY2/CMSKvvvEhaTgrgc/P5BWA5ePXlN+8nWBc0YRDv4DqSpEyFT+AW4TBEzU8AUaLgKZKKD1/SKmSlQmwpo2n2P0A40HaZRvewu0PR4O+gGfpRNMGJ6CU9OWM7fm8In+ghLOXnZJlAIv4JsMXwbCa35nzoBGuXvDgshD94DM1PAFDAFMkoB/ywzow7KDialFHiX2uwIftQ8i/DYAP+SkJ7haaSuPB6N7OfDz9AVvKkj8L2PsJTDlqkjoW01cpc1hU0joTX/0/N3PXtXOVuB9p0FZqaAKWAKZJQC5uAz6nSm5MFMplaj4WXYHnJAI/arguVvLMfDDrAtyI4F5df1+QoMhHWAF+wj38CewjLa9KjkLTgfNNV/HsSaoWpBuvItANVjb9Ao3swUMAVMAVPAFFhDAXsGv4YcMSNy6rfCd7ACikCOvxd4O4vA7zADNI3fG2Qakes5uUbdcsqjwDvuOYS7gLctCLwDi+AhUP6tQbMBKld2KBSC8ml24W54CsxMAVOgASuwbwb+Dr4Bn84aO3Rz8MlJuT7Z442Y1RHQCDuWaVQeeds11krSNM0+CLzzb0JYjwBaQbTtQoKm9vXTmrDdRmRoOCFGeHvSvoiRbkmmgCmQxgpkooO3Kfo0viDTtOp6pr4yTt3ldDX6jmX6Gd3yWCuCtFKWe8EjcCY8B0+ARvHRJsd+BwyOXtEA4rrnZ8PzlRxreNajkqy22hQwBVJRAXPwqXhWrE5VVeAUNhwBTZ93uZ/94fLuZQjflvl3zQx4a0TgQLgc2sDmEMu6kDgRlsAsOBe85RPQfvTGvn5Tr7f9ZY1BL/HNAz1SeBqagWwCqH4z4SvQI4hbQB2Qx8Hnq2i/ZKu29aWEaaAXDH29q12oFWAKmAKpp4A5+NQ7J6lcI10vsyF69LczaZ9Uo+J6K36bamzvN9Xz/Vd5kP9wP5d9Tp7LvpE/cnNLf1fwUrHLf7TI5Q8b6/Lu7lz2jP838j4J8Ubxo1g3DvTRHDn3m2A9kG0KmmnoCnrT/wGQ/R20blvYCfT8/0iQKf1w2BVehPFAVf/yZy8r2i/Zq22avRgDmt04AbxJ/5GgY1YHRB0hbxsQeBv2DhIGsfwSVP8Pwb9LcQHh82ASLAZ1XPxjleMI69qRbur4NAdZvA5NLuseBJWjDtZFYGYKmAKmQJ0q8Ad761mne6y/ne3Frp8BjULDo79UcfDlyhS7vFtx6I/wF+zuwgttwElqR9oOg13Oe4e67H8EGbux/Anygnj4GbzOaQ7I0WwH6hDQN4j8EqCYZVOQbQmloHgH0KyATOEX4DJFsEL4mwLY9qAy/Kj9GsLDQBZvv2Vrq/d/EzZfCNqvHPp3oHcXZDvCKrgSDoAeoBcTdVzvw4Ug6wRIGunEyEnfB6+ATMeg8vuBjv9rGATqLEi/7rAujIOLQaYOgjoGqtuhoDqoI6WO0ZvQAqTxUtgMzEyBWlFg3wx8yU4jMjNTIFEF4o3+wts3JnIPzINf4GnwjizeKI4s5XYnoeFBLN7orjxzvAB/W/5ZWMSfmX2zwOXfnevy1s93K2c+4FZ3H+NK5OC/AY1kW8GBEG0tSZgMC0D1kbP398vnhOXkZBrJLoO2sBpuB3UaXgQ5Q23nTaN92XJQWE5PJmevjoSsov2W5aj6/4exqZym9jsdVkJf8KYZkCtBHROZOj7PgBy8nLdMx7YDfAQl8AX4Tg3ByDcOXmapUfdr0BFKQdppXwVwCFwPslPhFiiCQpA20kB1aw+94XtQ2rdgZgqYAgkqoJvOzBRIRAGNsPaD50HTuyeBH/0RLLd409Qaxd0FB8GmoPJOh7BdTaQbDA0SR7HUaE/O81y4CTS6q9TGulVvZbmsjVa74ik4+X8TvnyYy9H24+FvICcj5FwGQ9i0j9FwM2jfe4KO1R+v0rx1JKBj+RHUsfkFdAxbwTTw2xCMjE61jGeV7Tfedommq4PWB9S5ERtC+NjnEg/bxkSUpxf4tkKdgyNhBnwF6jT4dQTXeKlxGfFckPM+AjSaV8fvRegMMjnuyRDdkXqWtMfgf6BOhc6dOgdmpoApkKAC4RszwU0sWwNVQA35m6AGPtboz8uiRlmORA22RoRyJK2holEcqyPfoz+G5YGgUZws3uiubG0F/+NNVuPYX2TkfhAj94+Xu+JTW7qs/V5zuSvmlz1i+JzNhTod+4BGi96aBgF1BnQMA0EdFI1oZa1gZ5DzPhHeAk0htwjCOvZ2sDf4bQhWapXtt9ICKsig+uwEqpPv3Oic9gffaVpNOGxy+D0gB84MVujcHg7atg3I8YY7MTrP0aZ25kPQYwEhre6Eijo0cua+g3U0YV0XJ4CZKWAKJKiAOfgEhbJsEafdBx3ksMWGMBiiTU7idoiepq5oFKcy9gU5SJXrLd7ozq+vcFnsVr7AyH0fvHj+2jjlwW5Vs21d9tT1Xf699CA6Bht/x1JT0HLU3mYTeAjUkfkANHPxDmwOsi9gOGhbOX8/EyFndw0o72gYC50gUatsv4mWEyvfMSS+BnK06tiIV4PlcSxj2R8kFsPZoONSR01O+Rv4DOTYT4DKOjHrk0f51cnQfl8CWUUdmqNY/xSow6D8M8DMFDAFTIE6VUCNYM863WPd70wN8zLYDroGaNSr0a0a/J3hE5C9APeARrmyR+BKUGdSIz6ZypADHK8IpmesKuNymAQylSttNVLU6FnORCP7LpCw8WLdiaB6l9sKl7v3Spf/7HKX27c8MXagCcmNY6+KpLaMsU71lEOrjlW236qULcd6TIwNzyPtU9gRlMdbDwJhpzqK+KOwAajTo87PF3AJ/AbSaRhcDd7C8XNJLATtYy7IcefA3VAI2peup69gAOTCc1AIc2AcNIOKTNepOiNVtRvZ8JqqbmzbpbcCjDBuPcBlFab3UTSc2m/Kof6rErZIUA45mLXiICeU6Q7+Io5Rz0SjTQ29nrmHHfxU4scGGdXg/gjXQitYBEqTDYbxkVCZg9fUrXSWs9c08EYgbdcBmaZp5RSUr9qGJ9lEP53D+Q95as0X4apddgMpoAXHqU5bstaSDXRuvYPX9n+DBbC3IlGma4IJmIRsILmeTyhn7Ezm4GPr0iBSM9HBV+UGTZeTvYyKHgXnQPs4yGknYg+TaXQc8knXqC2TTQ736RgH+BhpctRhu4mIRkHvgDQbC51ADbjS3wKN4obCxRA2/G75y3QaFT4E8abJw9slHcZrfL/YFZ9W6rLaHuIKbltSNmOQdDkNeAN11kqqcPwLo7bZk/j9oPcCXgut252wzv2PMBL8rEg3wroubgfV4WPYGtrCzdAHRoFmbZ4Db+qE61r0ps6/HrFoHyf7xNDyIMKToA18BL5jStDdAOpwmpkCpkA9KqBnfLqJ1YjUljWEEXyy2qnD4xvkWNtqFJeoNSFj40QzVyUfv5c/lin7Z1jKeZjVvgJ+BM+gKTJLMyRql7o+lsKxIAc7AuS8Zb1gNVwBWqcp/hdAg5XB8DLovg/PKhGNfGBIjlom5/wVbA9bwE/QEfwIfkfC86E7yEaDBgqyXFBnNezwlW6W5grYCD79TuDvVFm9c93sZnWngKZff65gd9GjuAqyRp79qxNVa1bgikfxxv31eIircPKH19qOrOBoBR4lQc5bMznNQysPJaxZnv+DZXAt7A/e5Pyvgh/gCegImk1Q3pWg+74i689KzT5NAzn6A2A5yDYHTfMfB5odkGkfh0VCZTMEMwjPDeK2MAVSVgH1ejPd3uAA/53pB2nHVz0F+CndBytc8em8da8X8K6Y8+cnVqtXsG1dkQLHsFKjd82y3R7KqNGxZlPkSMVkWBc2BJlG0N7k1DWqrsw0q+StMwE5d2/vEdAoXibnvwg0ivemGYJtYAMYAE+CmSmQ8go0BAef8ichwyt4Psc3pgaP0U+jVlTk96xUg5yUNcNxfOKKcDhZv2/g8u9h2qB9UgVY5mQVGM8Gmu05BY4APfeWyfm+DW1C9CCsaXOZtqnMNI1fEMrUMhT+lbCcvLc9CKhDIbsT5MT1YunGINPoXk5e9dNo/2kwMwVSXgFz8Cl/iqyCUQpcT/ymqLRwdDQRNeYa9flpW03pinAjT/Sv1pMp3jxXdHOJK3mcP1Tz35Uud7e/5rKUGlZAo/Sr4V5YD+T4d4BtQXYsvAyVtVfLyLMOyDTKVwdNo36N3o8Mliwi5R/Ckj5d5NcxD7D0nYbfCX8KenRwB3jTNP0/QVP6frTv19nSFEhJBSq7YVKy0lapjFFAje9w0MjsE+gLsu3guUio7D/8bvkb0CcTPjFYdxzL2bAINKpqDnpW+i70gnlwe7DUtf4KKF12AZwHk2AxPA5rgaxLI7fqoi6ueI9n+f31vS7nqSsrdy6RDe2/KiswjC0Xwn9AI+ZLQJ00Of/z4XTQqLwi0zXUBT4GzeLIKcshz4TvwNutBJaC0j8DnXstw3YFEXUy1BGQvQobwJOKVNHy2G69Km5rm5kCpkA9KKAXwOSAzGIroMY53hS9nKtGSnL0p8Jv0BZ2BjXW3nYl8FEQuZHlNdAIlL87rAvj4GKQ+Sn6Hwjr/GgkKOd/H7wOqs8KWAmqXwcohLdAHQKlq3Owwya8cX2Dyyl5yeVOaencFNIWQ7gzQHKkPKVPBz/i13PhB0Hps+AikMVL17rdQWVoG9VxfZBlwWUwF1SvS0FpmW45HGCLJA9SHTnfUdOmGtHnKxDD1iYt3rro7CpT+us6StZas8GL4K+FHwnreq+OtWPjs4MCerFUR6YyU+eiFNS5EUvgA9DjkUTM31eJ5PV5riKQqMZ+m3pZ7msfuqkX3VN9p+bgKz5D8Ry8Gig1NhuGNpcTPwt2hsocfAF5lsE/QSOrcCPiGyI1yINApob+H6BGbQTcCW+AH9lpBkAjxCuAez3yNT41yttB0Uku+/dvXd6bD7jcPYl/Db7c5wmrPDXiJ4Iv70jCb4Ic1JagBnUziJfeMshzLMs2oDJvBtnxoAZ8W+gFn8EOYFY3CuicaPbn1irubiTb3QG5wfabs6xuuzGQMnTtyXRNJOPgdS/IVB9dzz/AwVCZ+fuqsnx+vTpopaDOeMpbJjp49XbNTIH6UKADO50DGpF6e4eARvDRFmu0WkQmjTwGgcqQM+4MYVPjsgfMADWAcq7NQNPBGqVPg/mwNSyHYtCIQ/fFLiBHr0cIWQ+6knEbMa0/yGUP+bvL+Za0jrAe7A8qTw32aPDlqfz20BvUMMqBa7t46Yey7nP4P1gG14LKlukYR4A6DzqWB+FAMKsbBRawm7FwYRV314TtdC2uCrZXB3FXUAdUtiEk86hK94g6f31gFMjy4D/wC7wP0fcCSX8x1WcCaLsLgrWNWd4DuqdUljq+umei7U4SVGdZvPo/UbY6Miul2aguMBHUyZ4F54KZKZDSClS3J57SB1cDlYs3gtcoRg3MuqF9TCY8GHYEOTJvhxH4KIj4KXo54TZBWleWcq7jg7gfaSwiXghbBelnsyyBH+C3AIVPh4fhZ5DT1jlVY646ZIGcsho9/cC69Wsub/rDLvf1jcr+0pqOQWWEUXmqn5y0nIOmZu+AAoiXfjXrKH6NclSmGk91TlS38D5eJG6WHgpsTzV1DXwG18HOoOvK2yQC6sDpXJ8KujblxJXvE/CmToHuA11Duk9ehqbQC9SBuBRag65ldUiiTde28q0TtaIfcV2nsovhNWgFnUH3gPYl8/eVrtU3wT8KiVd/3dvan+qk4/0Q1JFQh+dQ0L2jOqWE7WtT9ClxHlKtEnIGPVOtUilUn/OpywugG9mjGz8HvgGt183fHaSlnPEmQXhDllr3FHwMMu/g1QDJgbdTIqZGKNrB/0raW1qJqRw1empU1odhoIaqJeSDGkU5Ufx2pB67s5RjPRrUSN0LEaNVGz7C5U5Y7vJHsnONclSeN1+eGj8dby7sDzPhNIiXfiDrXoWwqZFXvR+BU0Ir1KhHN9Kh1RZMQQXaUKfzYCqshpegGej61fWla93bRwTOgp3hE5/I0jt4JQ2E5xXA5ODVKfC2B4FPfSS01PWofUVfO9uQthJ0rXUA1VWmsO7dyxTB5ODvCpa+jIrqr3tc+2sEsp6gNN0T24HqrE5ESlgmOvjslFDWKpHpCvyNA5Qz9swgrEbueFBDNgvk3BT+DNSQPAFysDPhO4g2jTiuATnwz2EoXAxhU4dBDnc6KM97oAbnHyBrAl/AFooENpvlQ/A4qIHbD+ZDC4gYc/klJ7pVb/NRnNGPutw/jnPZN7BC95JGKr68owirY6L9qTHXMcvipY9n3Q6g5+yyY+FlULnPwYnQHNQIj4JzwSw9FJAz/AFuhp1gU2gD54CusTmgKXFv7xBQ5y7adO7jma5Rb4sJNPKRBJbq1Gr/ulZ1X94OP8GL0AnklL3hB9f4s87J1F/34mTQvTscVK75IEQwS10F5ETUMzWrugKt2DRW46WGUaPrykwNRyxTw7k7yDn7hmRbwl/DLFBH4iKQ9YKvIqGy/3Zh4Z3yMMJXh9aVxy92OYeMdblLz3TZGv2Hy9Mo5TkoBNVjHGjEFi+dVZEOzu8stV/NWPQGWWMYA0vgW3geNBNglvoKFFDFZbBxVFUvIP4IbA6rYF3wNpnAYNgR/DWodYfBRwpgA0HXgSz62tU1/k1kzZr/xRvB30e2x4OsL7C8B3RPylTHKxXAdH1rVuFymASyiuqfw3p1GtTZ0L7VVuoYFNf9Tl85uT//TP5aM3ou9udia03d9C1YF605+PQ7fy2pshqZahtz9OssdHl38adnb1Y4qkA1ZmtHpSkaL12NYosY+ZWkGQdhll4KjKa6r8MmQbU1Kv4UTgSdbznj80HXY3dQm7IVKL/CG4LWPQXq+MkOgjcjoeQdfEe2k8OVcz4Hwm3YVOKaPZK1gx/hWkUwOfhtQNeuwsdDRfVndeTnqBuw3Ai0H39/HE1Yzl/lpYSZg0+J05BylQjfHClXOatQnSmQhYMfzN+Yf5I/WLNFne3VdpQOCuidiWdAI3m1F5qJuQZ8B3MnwjNhNiwAOX5vDxL4DQrhevAOviNhzRopnuwIXo5VqNx34W/g7VAChfAOaN3doI6FTE7dO+SDCWsavzlUVP+XWL8SuoLKKoQP4BGYCgMgJWxfG8GnxHlItUqYg0+1M1KP9eHTtr35YzVjV7iCA+uxGrbr1FQgm2q1Ae/Yo2vZKs46jXpjPapSebXxqEb1Wx+StXj1D886KaxHTilnmejgdYGYmQJ/UQBHtQuOajWjUk3D1bmtdAXzcZKdtWNGxFd9HruBq/N6VbbDPF6+W+mKh2S70v7od1G61Luy47L1NaJACaX8ABo9xzKN3mOt04i/OMYGKm95jPTqJqkOmh1I1uLVf1moIIU1KDKrAwXMwdeByOm4i1KXczx/I/0O3k3Tyz71ZswN5mS7rMvp8qfNtUpd581yxWcgWm4nV3Dn72Vv19ebhrZjU8AUaJgKpE2j2TBPT/0c9UxeomGO7sAlbuXl1KANI2m9jBOxiTgtnjM/yOh0cbErmKVRqlbES9c6ZgEGsc2X5P2d5YfEeymd+CWE5QgjRvwy4qf5uJb9Xf4TWm7o8qcvrdq0oTavc+MtqqI8V3wtnaRxBS7/bo5rhzqvhO3QFDAFGrQC5uAb9OmPffBtXT7Pj0untuQlHBzUk1mutHwU39vlH8YjxM2Wu+JNWdePEi5dwTfW46XTOejE78XvpLyjl7ni9mz7fpbL1gtGzEWWtmJd+bO+Upe1AfEW4Vr97opPUbzYFe/Oq+iLwuvSIVzgiscyj3opx3U+Tv4E6hzv+Ws6HI7V0RSoSAGajMgjhlOjMp1OfExUWiJRHouX/4XJYYSvTmAj7Us/O2Q8EEGPGrTvLaFC41lHK55N5FaYKc1WmoNPsxNWF9Xlojgep8TseMSeZIp80Ptl37pWgt6IbZ/vCnrPdsXfF7rilo1C31iPTl/min6irB3y3cqPWPLPfYFj14tGCdlrZW/66u+ILmYD7r/0M5z8F0FHpTvvE9zAsTRLv6OwGpsCCStwFTnbJpw7fkbN5ukngsna62zAeCBCB5YfwkuglwAblJmDb1Cnu/KD5Xczugn6MeK8gSn4b1iq99uqW2RUr9/pFD+Lg36MH7/+r6PL/6mDK7jpG76xHi+d4ThFuiOZmp/RzBXoQzKHQYO77vgt0eLr3Mp/Mhsycx2Xf79mNtDBzBTIRAWYsYt80jbWsenePws+gnlwBfj2YCLhf8FPcAvsDTeC/11+R8Jvwq+gn9nlQWW2jAyaMdQ2A4PMXVhqX3p5cRacC2amQEwF9EZoz5hr0jARp/533mB/iZFmVw9TyzeTNk6HM4ef5XBXrMfdkYuT2p/8M/XcPF466/T8/QvK2krbs81BxD9XmHW3kB6Zri+L5z+h5/IK+7fomUbIIVw6s+zjGlqV9sYvFHblOJ9Fi/3S/mBS/wDepoqaOYoeUe5DWinI2VTV9CGYs6u6cQZu56foCzi2L2FAcIzhKfohpH0G20Nv+BoGg4xmJPLJ6gNY8jgv8qU+bavyNEUvh7wbdAaahHKHTbDclP/V8tifgQcJ3hlENaK/AJqAfvevKf31KPjRv7msuYQzxnzPKWMOyA6kugqUMj1fOopp5c89JW7lXbSF+9CTab+ByzuqsSt4imnm0kau6CUeKM/QHuOl0zlfjzzfUJZu6qwcV3oCy0jPm9mBn5j+18tnWct4mY94H8Jr2BGRb2OXFrX88wtYa6xPxwg/pZvMT+nO5qd0R9J5OS/0+CMdDycd6jyfSvaPqugA4lzG1bJd2VodBbM1FSgieibwK5zIh3DCa48m8gBMA3W+RsJx4O02Ai+AnL0eB9I08EvZMhvNQiN4tTkvQydI1H4g43pB5lNZaoZA5RYCj98jf7OCRWaZOfjMOp/VOhpG011wxl2WuuL/CxfEM/bvGOq8n+fyT5ziVj6Cb192iCv4Duc0m3wlvG3/WLz0Ylf0GNu2Y9Q+PRi585Kda0OL2xgnN4rp/naUM4+yXyes52QxLGsib6LP1YxCjJVpmdSYBuynyE/pSptu7Qr+GzwaSctjSYNKP0sd9WjIWy6BXUAOxpue9Q4HLs3IX3DrG6zoxvIhuB0Wgb4ctzW0hZuhD4wC2SDQyPV30CixF8gugPNgEuhdksdhLZB1gYmg0eksOBcywXRM40GONGwdiEwNJSgsLb3JsccznRtv0pGmKWHTjIAfnbckPBkWgM55DnhfSPNkZgr8qQAD28yZov/zsCoOzeTmorVbOzpXvPSlfF/9yj9vojU2w7nphqvQfkzgG+wMx5ox7b+9Hh1UWFiKraTjcjhT9mOoe48Uq1omVEdOfADoua6/zvYlfD88A2eBTM53BMjRnwpclhHH04vlargC2sDdoBGmHMJg0EiyKWg0Kce+LTSH++AVkA0DzRb0gw7wNQwCmToCF0ATOBRWgR9pEkwrk76loRq3IvwLSOcxQfp0licFYS3OAa+TnLs6PN60jR/dS8Or/QqW18N1obgPnk7gVR8JlupMqXPQH6St2uzDQB0EOfTl0MWm6FHBzBSQAhvzOL1F2c9Q1hAkXvrajH6uLHsWukZ+RZolMFXaumyqbo1tceSdcY76Yhy/p89/ZF2X/zgZjgTfG18jf6pGeHzxTAkOhEcUF3M8x6ZqPdO4XnKa4+Dg4BgGsBwdhLVoB7Tvkb97Po+lnPO3IIcgo3/qroIf4AnoCJyyyPSxppHl2NWB2AH08pjWfQHqEHgbS0CdgVnwGnQEmToTt0ARFIKcjRxlJtgCDuISkDP1Jmc+ENYBOVudiykQy5aRuG6sFZWk5bFeZUvH7eAh0Ij//0CdMdl4WAGqixy9tlc9Hz8AAEAASURBVMk4S6uGMOPUT98D0ihHPXVNc0Xb/SRonXrvNWG3UcjQ6IJ4ue9+5tUmZ9FAMLU/b7UrHsqHZQ7k53jn8W6ARljx7D+suDjeyvpKx8l/+ocrPhUnvwNO/jpaRt8Q1VeVMm2/crByNJqe3wNeB28dCGj0KOfu7R0CbYOIHJU3OR2VEW2/kaDO5Qz4CrSvcPsarww5Id1HWj8cuKzX2I5oWps6S++GjkCj7iKYCdJpFsQaiZMc0UWPQf5y/2tlBdaHdUwwRjpd6lTRTERmTzQTMxseAs0kfAD7gc715pBxFutCzbiDtAOqFQU0StkYWsOPwR50Pe0ShGt1UeSKLmnkCjaiL8HUZ9b+OS5/r2JX+maJy34TB69GNu2MIc0vT7mifxzC1/2Yjbh3BZ0Whhbfp92BpGaFX6VaI+EgeBuKwZumz+XMNVrUSE+2FcgRyNRhrcyOJ8PhIMf+GWg/mkb2FqsMjTI1k6Bp6BdBjk/Tx3JI6WjSMbruaid2DB2M9D0AmNSLvESnGQtv7X0gWKpz8DBolkTOOWwXhyOh8D2ERUV2Biv1SETnRHpHbC3e6qfyq3w8E5bhHmYmHI8dQ90poJvjefDTmNpzX9BoJGyDiHwJmsb8EHqB7CIYCnPhv/ARtANvNxA42keCZReWE2FJM176280VvcOIt8O9bvWYXdzKpje5kiOfdqunP+dyf53mcq9jJLw1edXg3AKaXlXdwvsgmlp2BA0ZsxD/Xe1KHqDTcusKl7t3atUwbWuzgpq/DsNATjVs3xGZCYNB10t36AEa2VVkGs1rqlkmZ/0NyLmrjBOgsmlfP0sznryq30CgT1fpdmRJe1vKEYSde7wDki7Rzj1e3mTSde7KnXsyG6ZTXnPw6XS2Uq+uftrT1wz/VP4yjdI6wZ0gR90e3odrQNYK/g5DQL10jVQPBZlmAk6CNxUJ2SjC40CjrXOn8gnYSa7kxsNc9hkMCw661K2efJxbtfEVbtWLj7mS/XD+Z3/q8j683OUc/j+XMyS/7OMb+4fKS9ngWm7VxFWu+Jxsl32cvk1Ar0aamFVPgTFs3hpeiSpGDkQj8LNgFrwahOWsK7JPWKlO58fwGKjzqKnfz0HXehtoDPFsNiseggYxXRxPBEs3BVJZAfUCe6ZyBWuhbnoGvwo0QtG0XAuQA9IIpgBKQQ58begKMo10/gFqFGU3w4hIqOy/ASwmBfG9WPqZgNsIDw3SpXMOaF/bwW/Q+Q6Xc9JYl1vEiVC9ZLtDpHHuQDk3upwHcZJ38jLe89e5nMITXfY9tMD4+9S3+TgIZiKupv53cbAtU7/GaV9DXbcagSdq2WRkdrfcdC8oLRnTdHFFHYFkyqpu3nMpQPfvOVEF6Z77Gfw9GrV6jag669uskZIGkX2du/UAl1WYBlVNuIrJXogJF2wZG4QCKzlKjYYOhj1hChSDNzngI2EGfAWHQfiam0vc2wsE1ChsAHL2T0K0ycHJ8S+A4SBnn32OW/3pbW71j0xpn7WorFOxjHQ1SBqOtb/Irb4/3xWdxR/IOYEWavoAl911c36WhsO/YrnL7TtnzQZam6WMMVXxBy/gDeVFQt4tyL+Hn9J1T5nKZWZFdG3JwSVqJWQMTzVzCUbeok90e+XT9aqBQqrYPCqiezVsfYnoWBOxXcj0RSIZLU/tKhBubGt3T1Z6piqgac9DQNPrCodN056HgxoLTVfeBOHRUfjZmhpJOfmD4AB4GsK2HhE9O9XIX1P06lCorEh5k1zpchzhJS3++tO92eTpAppOWHSLW126v1s17jdXfMxql/UeU+B7t3YFo/XmOs+7+9G6N1XeVDOO7Qmc/NU8dhhKXY9KtfrFqI+muYeE0jchLMd5TSiN0xWZCWoeSqvpYA8KVAfTLHEF3ibr5qDZDG9HEHjWR1g2hntAnYFfQPdrM5A9DDrf3eAhuB0WwcewNch0314G6uSrjEshci+zNKshBbJrqBwrpuEq8DKH3hv2ADXqYZNT1rS9pst1854AeRDPnmDFP0Gj/Z+iMnnHO570FTAQEnkhaQL51DhpGpQZ+8jvnfVG1BLetudvtRdfvNAVHV7iSibwZ2x3as5neBklD+c39gctKXtxik1Sw3j57mPerD8dJ7+bpu01fZ8aNYtZi4mk6rrwtg+BsdDPJ7DUSE+N/q+htJoOfkqBfWq60AwvTx1vdbb7B8ep2bBdYVIQ1+LvsClsCzuBHLdm62Ry7ro3xbGgDsBWwGsz5T+JO46w1h0IGiDoft4ezGpQAXPwNShmAy3qD477LfgQ5HjD9hiRdjAdPof3oQ3Ec0zqIGiKPtb0/GzSHwKV9QHsB++ARhoV2XWs1OyAOhpqYN6FNawt06O81DYBZ3/F167oEP7i23N8M79bY5f/MM++/4MzHfB7Wb3W2K4+Is1452GKKzoHJ//z+kzZc2DqtKSixXLwt1JRnf9WQYXlNCaAnP8zQZoWcijvgUb4G8JwmA+fQF+QdQNdD3fBIlBHU47lDeCpS/knXzsRHgGyC+A8kKNaDI/DWiDbCF4ElaX8o0FOqaGaOmOHBgev2bIpsCqIa/EYaIaOSa/Ifa/7qzVE21ISroIf4AnoCLJBIJ2/gxnwIBwIZqZASikgB9czpWqUepVRQ51IZ1KNrabsmldwCBqJx+sgVLBZ5CW/nIoyRK97imf8+vQt38o/n+f1z+Ls78XZH8MJV6el3k0/oaNez/EewR71Xpm/VkBO+jeg/xRx2HLQ+SDHoNGbTJ2tfaAp0Icqf0lyb8JyKDI5YzkCOfpTwZfZi3AJXAgd4COQs5Ez6g5y1AXQA+RAZMNgIfQDbfM1DALZZLgdVF8tS6Eh3tfnctzq+Eg7aah78QH4G2iErvMh0z3ALRKZafuMpTS+AmTfwzagc+S1JxjR8ysFMC1/Bjl+jzpY9Wb72kt29aa97Ti9FVBDoca4IjuWlc/C0/BrBRmXsU6dqmRtCRusTmajI8p+kz4tzxUNv9YVM5opuZuRcwv+MM5tfBp3BM7/pBXObZZMmTWZt5Fb9Rpf8Ds3x2UPpi5D1CGpyfKrWdYqtpfT7A3bw+dQDBNhL1BHrSu8BXLu46A/yAaARntyIrvBZTAP7oNvwefTzIyc9izQTIBmdLT8GOQ8/PNeguWmkenLoG1eg46wAaieV8J8kKNK6lohf6ZZEQckfQ6GPWA8hO0eIpp67waa6ZgGWRBt6ijFsvdIvBjaBHRieTSY1aACiYyqanB3VpQpEFeBBaxR43th3Bz1uOJKvLuegfM2/h18EvdwWq2bqE5etsu/Cmf/GA72DEb3Xeq6io0YLS12xaeVuqy2/IW/2+jFrFfXdahgf3LmcpwMjiKOXVnfAI2Md4D34Q+QyaEfBuqkHATPQAeYA3Lu3uTE2wYROWNvKkejQm/FBGJ1eHSdeVNnMRc0tV8IvmOp6Xt1JBq6jUEAda6kuRx+2FoQUedMeraDvSEPErXnyHgiNAd1DEbBuWBWgwqYg69BMa2oainwKltrVLCyWqXU0cY8r/8Ch39vPm/jl/AzNna7nFbqAqbMRzOV/3cc/rZXJvZYoto1bsUImPpcQh9kGu8N3EdHQ6OqVLA3qISmyHeH10H2DTSFvqDRtrdxBLaBA+FL0LTtQpAzXxe8abQ4M4hUZZRd6gsKLacT1kjS70f12zS0vqEGX+LA5bzl6KNNHdxrQM5/NKhzrlF4oqbz/SMUgq4JdcZuBDNTIKUU0MihIT6rS6mTkCqV4WLYEAd7NE7+Hj0f5/n9BTj7HScGv8uv7Xqyrx7sdwx1ODzOvs4mfVqMdRuSthzWB/8MNUa2uElqnNXgh02N9iyQs84F/zz8EcJzoTeE7WEicu6nB4naXo3/+aBRXnfQ/SYn3wvCI/Z/Ex8G3j4lsCP4fSpd669WILBwXB1M1X9tuALUEbD7GhEqMJ0TXS/VsSZsLOrd9rVn8PV+DqwCpkBKK9CY6WRG048xlX86P2kbXOJKZ1Lhgbvwkh6O97KVLnc3PFZBbR0EswofBD+l0wt4V8z58y1xv8vHCWikvKlPCJYDWWrE9jPsAl9AMnY9mTWqC5tG2J/AR7AK5HT7AP2diCOdxjJsqttmoBGhTNsfD2eBOgpywgp/BjVt51DgXqDztQkshGKoKduegqRtLNuVxA9jrYhKKyTeLSqtPqPqBMU7pkTrpcckwswUSEkFNKKwnn5KnprUqRQPdZvz2/oDGVnfhON9keW/9RY8c5RNaqOW7/M8lNmD83g/YCQXaPuofTxL/NKoNE1THxykjWfZGdQRGAnjQKNl1ZWXDSMvsWkEfiEor+w8+EckVDb1fgLhb+EHOBNkXeHlSCj2h1KOYN1zwfroRSsSNGKsDVO5gyA3KFzHKaejfdaUbU9B8Zxhujr4mtImJcrZNwNH8CkhbJpX4g/qbw4+zU9iXVZ/Ac+gce774uSvwQmPY3kjzv9vv/z5l8lqrDqUux8dCh4V5MqJeOtPQKNpbxoVUq3yl6T8FL2muDXyvhIOAI36F4K23xLeA414ZeEp+kLiGm1vAdpOL2itA+Hp8ouJvwZyoupMLIKfYBeoD3uEnT4O6oyo0/I/qEmLdvDqKOkcFMIt4EfwjQnfA/OAS2KNL8QVEtejCGk+G04Gb7sTGAPaRh241mCWhALm4JMQqwFlNQffgE52TR8qLXUjnG8fnPDl8ALP0G/D4fdfWv1nm+VVXcG0NyP5Jyj79CvLXvzLZ6VGk1sFmeScbw3CWoQd/O+h9CGE5bi9nUQgnoPf22diqc6DOgRhB9+BuF5skyn8OTyoSD1ZI/a7D1wItPUJfbeBbAlb2MHrEYD0PwTUudLsiXfw0R2fGawbDLJCmAiakRkI6nyp3hvDEjgB2sHj8AqYJaFAJjr47CSO37KmrwJnUfXfYKOoQ5hAXA1FTdqGFFYKk2MUen+wrlWMdYkkhUeJieRP+Ty0zCvy3Ko3+Ondv6e74v58Re9JbsrOa7l8/QW8u3D2RzFX3KY6B4IH+HaJKz6Fn9JtfInLu+XXsunxJyhT515twNHwEMQyTcV7k2PyjkhpGsHHM43GvWm6O89HguVqlreD8r0Imh6fBfVl9IMinZdhLOUcS2qxIur8qEOjkbZG8SPA22MEjgd1ilSnbyA8Glf95oCcOKfSdQR1FPRewkjQ+RoK6qxU9T5jU7NMUCBVHHwBYuZkgqApfAxqQO+po/qpccR3rdEwaf/VnX69njJugow0nvOsxNlPxdnfMBZnj4/5Hx/WaZPv8u/C2T/ACHwQr7l3rMrBt6SDx8t//2Lbj5u6/PsvcTlvEj4CdE40Pf4xxDI5Ym/TCHT3EZbbhMLRQXXyKjJdi5pO1ghWMwkqOwsagm3GQX4QOtB3Q+Hojk8n1oXbxvmhvBq1rwUd4J1Q+reEdU7bhtIs2AAVqEsH3w99p8JiuBkYWJSbeqN6JmVWewroDekN4Jg4u8AHRJ7h6fxMh92CfNpu2yDcl6UcgW9wLiF8YrAuvFDj/jzgpMpN204uj5UFdmehfWmfY2B9UCM/Gs4E2UbwEWwMJ4Pf3zqEn4YF8AJ0B5lmEIaDGsJPQPtNO8PzrtYb8byNfysOvz9/Se52DqIJfxL3RqbbH8HZn8Lz9c5JHlgpZY6krOFXuZyBA1227sELYGSC5Wh6fieQppoK1vmoqrVgw7dA509laVSbBw3BZnOQXUIHqmvbW2UdH3Weo03T/eHyNOOzHsyMzmjxhqVAdh0drhrt2+Aa2A+2BDXiDeWG5lDr3TQyOB1uATnSaHuQhCWwBehcjQBZIeylAKZpP422tlYE0whQzjeWjSXxsNAK5ZUT96YOhToBGpHretC+LwZ1DtQBvBbUIbkb1MlQY9UKfN0fIrwcVBetvxNkj4GcRy/4LzwHaT+SYfT9Kc75Lj6sc2SJy7qaYyrNdqWX8txef/1uCFP50kH3WaVGOe8WueIzTnM5P1zscvbbYc0/9FLR9r+w8h+ga0WddU0fF0NVTOdd7cE7oLZA10snaAg2iYPcETYHdbJ0b3irSsdHjxR2ha6gNv0U+Bx0T5mZArWuwHbsQTewtxwCT4IaYzVKavgHQDraH1S6Z4pX/Czq93RQRznCUUF4AsuBoN6+OgBytGsHTGYpp3EIvAgyNepPwdnQEuZBtFPRCHoV5MFCUIOVC3IGBSAHLkd9Gqg8v7/NCH8J3u4ioBH456DtZDeCnEI+rAR1RmSqw76g0b7KVx28qQOi489Io4fTAQd/HFP49+Psx/BW/j+J9+Qk6R6r0BA2n23+xYzAg1zEYc3ibbcxK/YMrTyC8BuheLJBnTffYUt223TLvz0V1kjb2xACis+FJ+BDkB0KhaCOz7twN+iekxVCNwUC01T8tkH4QpbLQLMDn4LuJ7MkFKABufUAl1WYxCaJZm1OxtxEM6djvqZUegao0fdWQGAi3AJy/gMgHY22Ma0c/LrU90fYD7yDlyOXU/4hitOJNwM1RHLEalD6gxqko2AERJschcqSjYKTgHvHjQQ16N7BX034d4jep3c0mwR5z2HpzTv4ziQs9Ymh5c6E1cCFTQ3kteGETA3TurdhJH8kzv5OHPfzcDFv6O8sR17RMev3+eQdS97eFeVjXWOYA1eAHMr3cACYVU0BtYe6v6Ktqh0fORF1qM2qoACNVE06+MOpwvtQBGrz1CYWwl2gtjTjbDhHJMfie5w6QF3cU2ElpKuD1wmUoxoPsvkgB5SMeccVaxtptmmsFUmkhUfw2uxomAXTQCN4OYBFEB5NtQzSWUT+RORFLB8B5VEj/z84AqIt7OA1Gvk/uBcOgrCDP5D4qxC2tkSUR/YwSFPpqR6wzOvUirBumjZKDEwdCV1bupHUifE2mcBgH2koS3o/LXD2hzCavwXn/SJcwZ+V7cuJWyuWBuTdgpH8k+Q/mfX+HMTK2prE42EIdI2VwdJMgXRUoAYd/N4cv9rIfrAeZIPuu03hNngdMtI24ajkOMKmXueZ0COcmEbhP6hrz1B9q+Lg5ZDWCZURDtaGg1f5Gr3LScrByzQNqJGZLkY14ppe3xpkl4DqcaoiGIPCSIfAO95IYvBf2MFrxPczfA2NIOzgdcEvATll2bHwCeSAbox5oA7gw6DOhMw7eIWnw4WgMneFz0DbfgPng9K7g87PVtBgjZ7b2ozS98eJXx98WOc6PrTTb0HZH30p1+UXrkEc/M1C4fIVFjAFGoACNejgb0auM+JIpjbqO4jVdsbZJH2T1einu1Xk4Hfn4MYA7eUaX5fSaHgozIXb4Tz4B8j0HPklkGPUOtrh8hH8IMJfwu/wIfSCRCx6BK9tNoci8A5+W8JyxLNAU6+qozd1vtQZ2DJIuJvlW0E4ehF28Fr3LDwRZAo7eCWpXjqWGfAx9IYmUAhHgKwVSL++EHbwPYmrnjNBHYN9QLYTKG02SLsTwSxQgN5nY0bye+Lsr5KzlzPH+R+05M8/M5tFGn9fPv/JKrylbzrXjgK6T34DtQ1hm0DE37/h9OqE12Jj3evq5Ift70T+L5xQx2G1dV/F2We4XYiTpfLkGnTwx7G3Z0CDpWhTO7sUNLDNKGvB0TwKasS93UrgcWjrE2pxqdFk01oofzllXgN+xEMbGpmi35gl7aY7AdqBjvMVkKmHJwd+CGwP4Qt0EvE7QI7yXtDNtil0AjlDXSDN4T7w5RGsMdMMixxxXZl6tLo2qmrrx9lQHYO6PI441UjdZKZheMkudxem7/U2Pl/RK/gPjn8AF9kGeh5P2rN6Pp+6R9BgaiYHr3ZmXNQRm4MvE2RdFr79jZIo8WgNOngNUp4EDTJGw/3wMOiRowYdNd0po8jYFquHETtn9VMnUkQxfBkq6gbCcoLxRoOhrFUKdmarp0E9pmWgXvBCkNDbQE2YnMie0CyqMDnvz2AkzAWN2DXKlOORPQ/PwjRFAluP5W5wLcyDf4O3nwjsAB9BCXwBbaCmTfqoU1FXtpodLarGztRRimW6keryOGLVIaXTunI/8mGdt/id/bV8WOdgLqtHsl1WhwKXf2+pyxnE7+Un8GW9Y3H0F76/5guyKX1cGVq5lziuDeCYOMenjrlmCxfDdFA7ItN2GhTI+sLHoE617BI4MRJK7j8Nlu4BtVGaXVMb69s/dTpOgZmgEXdvuAV0P2qQE873T+Kz4QPQYzmZRrYPgo5jFlwE3vII/Ae0Ty7J8nedTibsj0N+5l+g9lJlxtOFVbVm8jVHwoHwFHwD78FdsClIhzoxiVkX1omdqDPhT4Lfp07C6aALsgfoRNeUrUVBr8OtcC7oApNjlBPdA96ELeAHqMyUz98U0XnlRM4GOfGwdSDyTijhW8KLoG2QFp1fyZuB0qWLTDeQkKlzootGrA0qT5qamQLVVuCIyM8kV06joGlX0iBf4vK2JrwrF1guF/hRW7v8Q+kP7FjtHVkBVVVAHWG1lS+AZu6iO7ZyikpTW7UfjAA5k0LYCzQw0ABjK9C5VZzT7k6AWHYViXJU3rYjsDSI/J2lylbHoTn8H6hdegCUfjjsCmp3NZgaDt3hSdgbxkA4n8oeBarb7qB2UOtbwbswGmSbwI/QBYbBDdAflG8lyLStwieDjjGeLqxa0/Jp4xvRkWUWi77vX63EFf++VnKfU55OKSJsaxPZH8aFE2srnFtbBUeVuw3x6AMNZ3mDSC+oSQevfX4NurjCtoCILrTt4W+gi7IyO4kMjeNkiqfhz+TfObSNRtvrwcwgTTdstM0mQR2AdUE92Cagi1d2POjGOQw0M3AQXA9mpkCNKnBlpCO88pOLXT7XaOkqPpfbD7bXW/hruVWv1+jOrLBkFNAo8Bm4DY4Nbah2RU5DDvIPkENUmyVHrs7AKXATyHnKue4Cc0Gj23jtcjbrhLcsH2D5GIwEtaX4vMgItTVLb3cQUPlqZ88G7VsDlEmgTqLqILsXZgVczrIPFEN76A2vgupYBPIPv8O1IFMHRvuJZdJHDrQiXT6J3pBGt/HaLqsp1/oZ0esUz3F5M+g7/CfWuiTSOpJXnY6wXklsnlzWeM4puVIqz/0uWSR6PNuBFQ/FW1nF9C/YbkvQBbIwqow84vuCLrhE7MIKMulGimW6sf4FXeFL0E32OSyBeKbe6VcwCG6Ho0B1leli1VSPnHsWnAB+HUEzU6B6CnBxFXR0uTSk2eqY7sQfp6EBL52y2hWfxydyh692q3T9mtWvApeye7UR+4Wq0Y5wKUR3vuQkHwUNYtYGtYXDQKNttYlyoNoulg0lUe2RN43a9wwiGpyofdodVI7aoffA2/wgsJylwnLusmJoHAmV/fd2KPwhYY3aNWjpAf+DfHgYLgCZL1fhxcCAO6bNCVIr0uUvDp6L/bdfXemvfB56SMxSayZR+21dM0VVXkpdOXgJTu8n8jvqM1n6E66TfTPowvsYatKWUti/QY7+ffgJVoEcpS78l+B5qC3TBa/9T4NFIMfeHyqzI8jwHJwH6t3OBtljcCxMB91Qo2BvkIZ/gJkpkLQCtJLNG7mC3jxr35nn791LXckXtPhTil3xg82CjjFTllvL2Tf989FR0vuxDWpMATm2f8I9oDZNJoev9qUb/AwytalKk1P9HM6AqTAZ7oBloDZwOKgNORMSNe1bI3TtbwE8Ahp0eFM7m4h1IpMGLbKtQB2UArgZroB94E5Q/dUBiNcZYdUapg6IrCJdynLUzf/N2Y18XqK61FitsmuspMoLOpAsLeAXkPA6sTrozrADlEBN210UqKl6XSTvgzoZo2FXOBESvWDImrC1Jaf2IxsG68C2oJvhW5DJeV+pQGAXsbwsCOti3gy0jerZAb4D3cw9oC/oZrgOmoE5d0QwS1yB5fzcCqd9NG/N/7eJy384x5VuV+JKxi90RYfznfrz+e79WC4sjcwihvPfjdtTjsEsNRRQZ19tSa+gOnLiE+AsUJveGr6ALUCm2cRzQefwZ9Dg5xB4DapiasffAjn3dqCBhgYdydpANtB2W8OWoDKPgqdAbbM6IL4tJZi0VaZL0gUmsYEep8rnFIF83gooBPmktaFOLLdO9lK2Ezmi/WF92LEsKdIrmx+Ea2uh8mt7HxXVfRUrF1WUIc66eNvES49TTHnyhoTmgm4idRzCdj+RwbABtAc1IOp4xTN1XHThDo2R4XvS+sP0GOssqX4UyMKhb6VROgMt0NRn1hSc9oixbuXHR5T9HYIKapa1K9P0F1aQwVbVvQIakX8a2u31hJ+Ek2A1DIdPQPYKXAu+k/Ym4W7wK4RNnYPTgoSPWN4DV8PZsBfI6eaA2gmVPwSawG/QCQaBBjjvgByz2omKrA0rZ4Kc/OmgGctHQJ2P70D70jGqPfKdFYJJWUW6JFVQEpn3Ju+tcApMA826FIC0kZbPQl/IKMvlaNTwHwdNM+jI1HHpmQbHIwevG38utA7V9//bOw84KYq0D9dsRJQkAoIooCAGBBFMqIj6eahnxnwqmHNAz1PvzPEOw4lnPk/BgOnAfIoJEBVUQEEQwcCCIEmQKGxg93v+s93YjLPLptmZ6XnfHw9dXV1d4d899VZV987oukwHfXhbAp3/Rv/8Th9cffDjmW5ifWDNkqjAt3Qo3t+4X62/Z9eP0fAFNgOYRnSsTrX4O/jt+dKbp6pzDmnVUR9QzXP2I/0k75x/sL2tmudb8nIFWrCJVEMMOeqHvPRy2HrHZw/oBTPhbNC1lKOS9QBNWu4ATdb+CrdDJ1gF3aEZPAYaWFRkBRzQIKMpyJHHWgMi6nKmu1Fd+tbdd9HfQ901AItnaqsGL9Io4aYRW33ZCAp6GAbCAmDZz6yeFZATfx2OCZSrkeTYwL4+qE8G9q8hrBtyMpwViG9P+EPQLOBp8J26nMG2IDsWvoS58Bd4D2QNQbODebAUXoJGIHsfBsB3MB8uBLMqKMCFaIpD1lfS3t6eX5bjufnRPPeaudYVncuLQ+fot+DpNaVrlS3LleJ4y4L3R5XPrUVCzbruqsX5mXzqYhqvz3lN7BROehzkzD+BIXAafAzbgxyu+m315fvCz3AwvA0LYU/QzJ/brsrf06HZ7TqINcai6/8sL/ZYTfZro0t1y1OfdxBkxTmxK3EabGjVIzTWgZboZvBHLRqd6yYJg/1KI9JlBl9CXf8A7wWE1wf6EPBn8Bqha3lNpg/8N6AR/Q6gD3F7GATLQR/2zjALTgbZD9ANtgN9qDSY2BE+B6WTXQvvQkvQ+SpPMwVZAbwDKu9wKIQmYBZHgTXlz9NP1vN0fRsd3KA/Z1tQvnQa54zqRTF7H8KAQdeiOjabxJr1ySobsGkA+BUUwL0wCWRXwuXRUPnfPI8irPtN+Q704jX7GwqDYQmoU1XnKYs3gLyCeHWq2yhBwFQ//94NRG8Q1P3/9QYxdbvjf2bqNteq5XY3yR7ykmrALSftm64hi0FRe53/D4NXQM5dmjcD9Qk5EIFbQJ/l+aBBoVYDKrITOKDzU8b61t0MflMa9QLMgeHwb3gK1O8ugo3dbySpG9OFqQ/bikJmApOMqI3kf90sZvWvgDrLZ6E5LIf94SKIZ8cQOQw+8w7K4eJToqYb90MvrBF8Jy/sbw4loNH8y17Ew2yv98LKcwjoZt8E1IlsCb7dRUADC6E6tvG2bDLeIoHn6bz97howU/+46s/Tq66fBg/k3zDPFek61NQ00NNAUfdOR9B9499/jxHWwO57eAbWgawlFEdD5fHPEdb59MHRF7CGsm0Ap4KcShe4Ae4ApbsMVG53aAavQRGov3sErO9BhDj2M3E7w6fesV3YavAhU5/dB6TpeJgMA0F9QAn0h+OgH8ixHwl3QkX2YkUHQhC/mjacCN1Ag+N2oH5zHrwLGmjWi2XVSynly7f+B1ZF/gLq2M3qXwFdB31Yj4KDAOcQ7fzY/M46E+M7dx38HBYqgP1Uvon+v4z/1eEGbVt2/BmZ4nWub+rIB4PyehM6QTb45pehfX1Ycv0Dmbj9tvx5+j76ylh4mS/iuBQd1pa6yK18zewJLL8PZvl9IlMi30HWiUxZLm8/vq52bB1k5g/Y3iCv5aAB28EwDTQj/AqehHh2LpH3QiEUgDrKFiBbATfDfHge2oNMA8jTQQPItYCE0UdAb7FtBX+CeKZ8R4DuZzmw3uBbHgHVUX3Xu7AVyK6G62Eu6J5uCBpEzIOl8BI0AtlpMAeWgOKbQaw9SMTdXuRObEeBNJsNAyGRpn7hZGgCm8Px8DHIdEyazgQ5dDn2y0CaypReOsu5R2AAZPTnlvZPhhdgEPwLdG/Vm3OnrLjPCBSfCNPouamHbngNLvx9bTP9ZkCCejPdaEfDsaBwRabOTE7etwMIaFQvKyvfVPj/ZxzZNXC0WyCsDlCdn/LS7Etp1Sn4trG8/XSh3SJ87PP0Y0vpQDd8nl6oDjVhxkBiPzKvCwcfb8DWkbwnBir/aSAcDMrpqg6LQI4vG9R3yBTn22oC6mNkGugMBpX7JnQCnaP48+Fe2AJi7Qki5Ew167oP5NB9247AEtgZNLh9HGRabZCjuxie9cJK2x32hq5wImgA/BAcCTq+KaguQbuVHX0mrvcin2H7P9CAaCDcBXKkibI7yLgQZsE3oEGF4mS616TxWO1gY6AxvK0dbBi0hckwDSZAa2gIZklSwP9A1EfxvShEDiNowX0mINFRbfC4hROjgD6Uj8FSUOdUkb3HAQ0E1PFp1K5O7Sioir1DokfhQJgJZ4FvzQk8D+qg1SkcDHMgXUyd7b0g7e4PVFqfpwWgDm5/+AcUw3WwUfuVP1HkG+P2wbFCWQfGUJ+VuNL3f3Eld2y54feCbzQvL0G1yg9kutkrzC6pQ+vbXfGUQHxNg/EGbLrefwxkSHvX22mExoOc2XC4AKT5DyCnGQFZvHwV/wjMBTlL3WNPg+8YPyf8X5ADPxV80/HDoAtwKaLlnsm2K8h0HW+CVfB3+Bo2A9nrgGRR06BiCKjcTUCOkcsXrWsW2wNBAwF9rorAt/MIHALdYY0XeS7bL0DtLQDFtwB9buvK/hzIaBnhw6ExqL1+PQhGbTs/wHYU+NdB0Wp3D9Bn+xdgPLp+cEDQLBkK1JeD16hPF74y0wfHrH4UUAf2Eaz1CH5QgzX4Jzs9YRYsh+dgKlTF1AldDhocZMNb0AZkmoncCxeDyn4ZOkE62Twq2w/uD1Ranbc6Nt/uJFCRE1IaPU/f2f/7dITYhOfpXJfSofx9+hcn1H7JfWPl+/X0t3K4d8OWz7uswq/dutU3lb+U+baX4B9s4w1Y7iNes9tbvXTxNrsT+XTgwBjCSr89zAGa+zvzHeiVHHkPJsBZkAuVmfqa5yE4gPwycMLfCH8DhwbiNNDUtfogEKdgL5gEGrT5fdR0wqvBv5/nEvbNXz3Yn4jFoLpqUKGZsdqoGfEgGAW6/2eArC+o3luBPmsyOfOxsAOo/tmgQUKibUUtCtB9YGYKhEYBOUs5wTCbRvR51WxgB9IfFDhHndvowL4c+xaB/XQKDqSyL8J8aBmo+OOEHwM5L5kckwY5Ms1K5yDikiNd5IOFLu9GPU//3OWOPtdl/by9i2jW8xI0A5k6ejnbn2AKaPAg2w1ejYbK/9O9pwGS7GrQ8q4czmAIls9upab81Z6jIZ+/mb/vny77bMKamSlOJgd/WzS04X/3satyfZtN4ABvp4CtZtJy8HKqs6AryOTgfgbVVw5ZjlSmNo8AOTw5SWkzEZ6GcSD9J0AJqCztS4cfYCi8ATq2CqTdwzAVVNZKUDk3gM5VPu+CBmxyztK2EcguBA0+lsEaaAay9qDBQGO4B24C31T2I+DfF6rzTSDH3BpkO8NweE87mOq9D6hOY0C2Oahv6QcNIAKqw05glgAFGGH983AXKUhA1knLUjedmSmwMQVWkKBoY4lijssxDIEb4S/wd7gbfFMHqQ43XU3OQJ35MV4DctjuB34HrWh18lsM48Wuw1zWo1Nd7shfXN6EY1xW+3+5dR1Hu6LLdnfFPR5zpf83M7okv8FzWU6LOjg5xgdAjkczxk2gA/im/fbejsq7DC6GZyFaPtuq2B0kuhleWYpD4TFBx/3cuqHsXwt/hlg7kogxICccNDkgOaxXYDYMhq9AptmsNBsNvmOV09M5YyECvqMdTfgDyIbrQOVIiyvhGugMI0D1uwuUN1WPDqTkLG8BDZjmwAWg+1cDGGnyJGjQ8h30gFbQHd6BXnAStAPprvKOBTnZO0F1PAM+An0uYk311LFF0BYOBtVtC5gKipsGb0HQVrEzCLaG02EzkL0Ha+FkUB2Ul5kpYArUkwK/Uk7Peior3YrZkgqrs5LD0awlLDaQhjwHh8FIr1F92T4BJ8IYboqtr3PZr/7P5X621uW9eaPLLrzUZT18RLlzzvPOyWe7Gq4AORk/Xk5AAyDN4n37gsBFIOc1xYs8n22Jh5yN7sUC2BFk/4DboqHf/xfMR0flYHZTQF+Wo7+nVxjrCjqmyYCf316Ef4JdQXYfXB8Nlc+OryK8KRwLqt/mIOesNv0NdF88Bf7Kg+6PqbAHyMGuATnkh0ADqYkgTTRbVhv/7e1rUCAHvBLkNDWY0GzfL/dwwspXNgF+BNVZbZGj3B4KQQMAma6n2qo8fgAduwIOAeU/DhQ/E/z7WXW6CXxT2QUwHj6Fh+FFkOm+KQDlpcGPNJEpz27RUPk7LgsJNwOdWwBq/9Og8o8HswQo0DeEM/gEyJRxWarD6Zlxrc7sBvsOPh8ZloA648fPc1kXDnPZj73schbgIF96wOW8189l/WdU+dvdfyTNZJDDexc6gyxevJyvZp5BU2d/O+jYFO+AHPxn8IW3P5gtxbkCaAm+Qyb4Owvm05Cjcr7bKBXvBdzJl+UcoDDWAnRMbVR+claL4SDwLejg9VnIhhzYDeR81VY5M4V9U/5feTufsL3cP8BWbdcAQiZ9fwaVvwfI8cuJ6hx99uQotT0O9oQZ4Jfbj/A3IGsDr4HOV5o/gUwDB7VJTnUq6JjaGYF410Z6bMx07haVJKpKHv7pmxLQ9TFLsAJ9Q+jgNZI1MwVMgRooMA3Hx/P0SS+73IffcDkn3edyeuK9S25y6+bw9+nHX+xKJg53pfPxZKVkPwk0SxMr4EHQ5y9evByoHFJT8K0LgVmgGW2+H8k2LxDW4GEM/AIne/FyDiNgGWiA0Rvi2XIiJ2zCMjfTxf4XuhI5u8vgBtDMV3XuD8eCnO4x8ALIdoRLYBU8D2rTIpDjVF1VpytATvs6mAtK1xrkDNvBOPBN+ShepkGBzrsf1sACeAbugbthOCjt5vAYbAeK1yDDz4NgdGAlh6/Vg0fgKWjuhZey3QWk8WegcnRuRdeGQ5WaBkQ/V5JC17eqtpqEGsCYmQLVVsAcfLUlsxMyWQE8Z9O/uOwd/u1ydtmel+SudtlrX3Dr9seZj9zEFZ15uls3ZrIrk4MImmZzcpiaLTIuWP/8taL470kjZ342yNHsCj1gPMhxbg1bgUwOK+jIFPcFbK8AdjjIee8A98GTEGty5HIirz3rsi8f79blk+go9qeAnOLnoDq0ADm940F1k6PqBAfASyAn2Q40oNEA5VXIgdvgbWgEp8IRIIe/GewBcoY7g28NCaidvt1I4AToA35b3yNcAp2hAQyGZ0HaHQRK56cl6IaA6ixnrnSFoONy8h+BytP1ORhyoaJrwyEzUyA9FNCHz8wUMAUqUQDP19b7+/R9+ZO29nu60pwX3bpFR7mSE1nnlpOQoxtWSRZyHnJyciSakcmxHQcVxWuWfjooz0tBDuwi0CBB9jx8A3JSKyDW5hOxLcgBdgQ5aznw4XAmdIWgqZyR8EqJi7Sb4Mq+I6zZtRx1K1Dd+8BM0P5XoDZ3h4Wg+iyAhqBz5CDXwg4gfcZCHjQGOWI54U1hJcjZq+yTQfXTzFuz8c/BN9Xn73ADaPA0FCaDylkOk6ALfAZqn/JqADng2/UE/gPSsyVo0KCBxV1wL1wMquvL0AkqujYcMjMFTIFMUUAdZ89MaWyKtFOOQI5NyKHIafr7mmXW1iL6+3T+VOxc/VSqnqfzYy6Xs7/7qA2dRk3Kqah+FcXLGcnxxFoTIi6Cd2IPsP8UyHF1BTl5Ofwg57MffAbflv0X8YZL3nQ5xY3Kz9F9/TF8BIfBK/AMKL4ZyAGKo2E8LAaV8RMUwkSYBj/C8bA7KF5OVemUvhjehKbwBiwF5alyqE7UCvh/l/JgdKt92aZwK8g5yx6GAlC5T8M4ULmxprr7efvHpO8W/k6cbYs4cRYVMgX6hvAZfMguUVKaYw4+KbKvL1QOZP/1ezGBCczycNan8tvovWIObbA7jRmm0hS7/Kv09+k49Mdx6Gfo99A3SJhaO3LUsQ6ex+hRJ3sMW82al0DQeclZKT7o4OVcHxnjsg+jzf8kPAxuB5lmtoNgNsgxfgC3wEsg6w9fQxftYEeC9hvCPXAT+CbHe46/w3Yz0EDFt8YEVP+ampy+yjUzBaqtQBgdfFa1VbATTIHUV0BObEQuL5ZNctnzPnZle+S6kk+IOxdeheiMmETDr3NZ9zEAuC2XP2d71JW9frIrvqW9K9qOH3B5lB9webJBdNIZnaFqOXkS7A2pZDQzuqStNu8GQ2EZvAZF8D5cBPqs63m9nO8OELToc+heLnuXL8pn3QcGDo4kfDrMBK0GfAiXwVsg2xy+hakgXQeABgIa+MaatD8DNItW2mdgIPimVRgtwdfUVnNivHJrmp+dZwqYAhmugDqUnhmuQTKbH28G/3o2L1X95HIHv+ZyhlM5PfOVNWjH3xzf77If+Mjlvvuuy1mx2uXd8qrL7s/UbxXHu4Ocz2Mgxyb7L/wVNLO8BOTkU8U0gy/z0KMKLW9rZr0N+KY2yTnPhh/gapAFZ/DH4m0L3nE5S1uXL3FrufvFaKry/6TfDd7+AWxVZhtvvxXbiTAZNHiQVhoMxZvBK24ELAc9V38dajNj53QzU6BuFAjjDL5ulMnsXMzBJ/f6xzp4zSjXfc1S8y8u9572PN/t4SITPnE5N/M8fegslzv6Kpe9bC8XWcJ68F5e1Qmuf4tbS8aXwxTv2PNsNUjYFTQL1ow5HU0zfM2a4xpL892XuLwn4x6sWqRWAaRPVUxL6cLMFEgZBcLo4LWUZmYKhEmBtpfhZ752ZecNc2Ul97ucC5fyIh5/uvb1bi5yewdXNIPGTgC95T3ea7hmnCd6yNlrduk7qysIPwKfwSy4BZ6FdDA9414Ha2Bx5RXO6r2ZK3u38jSVHl1S6dEND2op3cwUMAVMgZRXwGbwyb1EG8zgf3Y5B61xeaWrXO4HPFv/C56tHdXT7FUvlsmOADlwLVcrLOsPWl7uoh3sSJgWDZX/SZX/nHsgcXKYmq2msv2Ryk2HX0DtHAOHQIWmvxTgRt66wgR2wBQIuQJhnMH7s5SQXzprXqYosIUref8UVzzmUVe6kr9Zb1Pi8p94wuXMmejybv3GZR+FDg/BxXCpF9aMXcv6sS+K+UvxQzh2NiwFzdwLocKlbo4l2w6kAo/DtaCX6raFq2EoHA2/MwZCO5bxDgIPyDVYSpRJY4pZ/+eMehFwFvwZUsGC7yTUZX16kJlWjcxMAVMgDRXI+Bk8a7ON+fOyMpgHP3rM1Z+b8eZaqwRf0w1m8F5Z618sYwT7wx9c1l04seNw9J/ll78051fpFQIPg+o4EeK9KKYO+kuYDjTVXQWpbHrscH6cCp5J3Ede/NVsr4e5MJjn7+fe67JHePvz2P4N/EHMNoTfBLX9SRgO/krH/oR1ngY/0lIDCpk0uhK0ciBH/hzopTw5eL3j4Nv2BHQuk6ekW6IcvFaOWie9dVaBjSoQxhn8RhttCTaqgDl4z8GvCPy9Nb16Mxz8a7zY9p+NKpi4BC3I2ndUVSlFS++MCeJaM2LT4Z0V/TXAbnFa0JU4HVP77oGf4WjY40uX+9FOLvI9YQ2MdoepsCfIxsJgkIPWVk66J3SA5TAA2oKc+EiQDQI989djgXYwEy6EWAdPVPQX1zT4kO0Pk0GDAg0ctgBZvAGD//b9+xwfAHrsMh9UjkzX6glQXrNBgxrZvXB2NFT+Xx82T4Hv4DcjrDo0Bd+06nMssMgRfR9DgyANTF6CRiCrqB47c+ztaIrKz/eS2CZZCpiDT5byqV2uOfg4Dl6XDAd/NWjGp29eaciXxzxSPsvPW0r8S3iAaOdI3PtwBcfnMCCYuNblrH9ezJfP7E/cZNIvgxHBQYTyNdtAATkgOVHNumNNgx0dawZy8E+C3r7rwLfXLSAoB9jY4wq2t0ErWAc6RyanVwJy8APhY/CtIwHl3xIGwWPg24ME/g467s/g5aDlNItAdRNc3uh31WvGq/qpnjLlFztg6B89Uv7tde8Q3gEOh0JQGSfCh6BB246gvFVHxX8Evqmel4Hv4BX/FpymACZNl4MGG9fCu6A2doYZcDbICiBePbQCpHSyys4vT2H/J02BMDp4jebNTIE6USDf5e2Pc/4/OWic9aVkenVp+ZeZ0HvnXcZUeru1rrD7OhfZm56+axOXq85Wvf52Za7suHWucD/Ct2W7rGdWsdy7MtrpZ71O3F1FrkjPiZc3cLnqJM3iK6DB5vegGXWsbU2EHmf84h2Yq222y933g+i3/UZnyXJE4iroDttCAfjnaDasmbKsHYyPhsr/U/wSaOPFLfK22qyGbG9/DlvlI6f5PNwCct5y9tPgNVD62+Ew8O1lApoJazYuJ9sefLuLwDfwBihf1aEY1OZe8AO0ANXxdegKrUF1OgpegqA9x04/L0J1GAda8RgGp4Patha+hS3Bt3j18I9pu7Hzg2mbsbMOWgUirybMx2CD3xI4j30NLIIDCXaTZqlSj6QJkEoF56RSZawu6a0ADvzWCCvAbDvisCfDgfmu+Eu1qsQVDcPZD2HKvmiNK9wk4vLoHCOBzrHsUaZ0dN5Fs5mx35Dr8vrwklwTerNpq1yROn1646Lbs1yeOugrtW8WVwE53ZPhk5ijivs8ECfngWX1nuBKFC+N/60YTMvUcn5yknKEmrnLKSt+O5DJ4e0TDZX/p3SbwywvTo4onslhroQ1wPWOzuDZRAclu7CdoZ2AbeWF5VR90wAg2Hct9A+w1bFceAXkbP4DefAUXAUaBL0JR8O3oIHBT9ABfNO5g0HtPQ40EJFJM8XvD4tB5eh8tXUtxNbjNuKOhe9BdXkRJkLw/OA14dB606BqMmiAosGN7A+g8KEwBWT7wfvwFfSBqlpfEur6flDVE6qYrrr1qGK2lqwmCmTV5CQ7xxSIp8BaV9Q7zxXthCPviZPfttRlbe2nowdcl+fyBrMUv5BfZnuT/U4c82d1zCGzgg5pEjcms/pIW/LZpbHLnyGyXf7YiIs0pYf2O30/e9v+psA1BDUrPRekr+gPp8C1sN60SsIgaosxrmwokWeAZo1Ivv4rZOUMP4I/g5bvrwTfsY4kLOeyM6gfOQemwXKozKZyUM5JzrUokPAzwroHNFDwkVP8CWTcMhVavGP5pL4H2oDafgQMAJkcthy8eAFibQURcnzS8SDwHewjhJeCBiJdQHWWXtzyUV02Zxu07oEdOb4fIN75gWQbBEex18uLach2O/gnHOLFaeM7eH2envTit2ergd5KmAR7g2+6P74HtftkL1LX7yL4AubBjeD7hvcJDwCtfsyHC0Gm++AJWAazQasLsmA9NKDSPTMGlO452ATM6kkB/yLWU3FWTCYokO+KpjB7vy7blQ2RE1GbmZE/gsNeyhL9LgwCop0jvaI6R9/UMfjWhWMFpKcDjXyS6wpb+xS5wh70dH6n76e37W8KzCV4HJwAi0AzzXO9/Zls1xvXBOcQkQP/HyyAApDjzYZ/gOxS+D+YBduC8iuCz+EW4BpFzzue7TFQU3uPE/cE3ymeSvhtqGkfdRLnvghl8BbMAN+UbzeQo/yvHxmzfZ59tU/6+IOW5t6+dG0LB0MOqAytSGgw4FsDAnKuvun+7gnKrz8ob10jOcag4ws61DM4dizI+oCc7IOwP7wGakMjkCNXfVUflfkI6Hgr0DnvwTxQWwfAMFC9lf/lcBmoPho4bwZyyheAbDvQAOlwOAf+CU2gH3QEHZeOf/P21e4OIGsB18CdoLr2ALXZzBRIGwV+pab64GasLYn/kl2EpfbPYaiEYTuOP1U7VWEEa8tMfgH7t5cfyy/g+NMTGAcQ15WX6VbQW7b7kdE+4eX6GlWl0/kFLndRdvmftinqPrheAUxOvzOoEwl25uxWy2p7frUKS3BizZY2ragM3pP4F9ruETiutMH0EfbljOQMZDq2GlpqxzMda+7vVLLV7FaOUM6hIruIA4wJo9fvS7b+7HUQ4VvBt+B+AZGaUfs2i0BXUL1ehQLgVooOYuQMfXuSwLv+Dtt9YEpgX9qthBMDcccSLoDx8Ck8DK9DCSyAceDbCgJykmqznKzuKznZAm+rQdIbHjPZ9gdZAbwDO8AJwFg36igfZcvHIvoS4hi2qvubMALkuB8A5XMJLIXhcCdMhb2hF6hOr0A+qN46vjXMhm9A17UzLAb/M1RA+GDwTYObHUFaSOsjQPkJmdrpn6vr9JgiPdPg5EZ/J9W2fe3nYlPtkqREfX6lFj1ToiZJqsSS+A4ep567Jw56HW/C741zPhaHIkc+Hj4l/DDHXlSVFY/Dfw/42/n8haQ9RfEy8riIdKs4ZwZ8eZLL0uzjoejB+A4+j2OtveM12dT2/JqUWe/nLGM5Hl3f4AIwXqrUnuboc3AhaCb4H0ikqT7N67AAzSgbx8nvKeKiA844xyqL0qBni0CCrQjLweeCHKPqrsHFtyCnJwcvx+k7Pp3/L6jI8RVwLOhQi9g/CTSAnQRqy80wGOTINSh6HjTzL4As2AZeg3WwEP4EsvkwJRoqHxic5oU1ODnMC7djOw5+9vYL2Hb1wtrIqWtf5dwOi4Dbyd0Paq/fToLRv364TQHPBrG91d9JtW3fEDp4XSQzU6BWCtCjrWAJPULP43cK0fz4udVPc11RNj/VOo5l+xH8BGsHntMfzhL9noQv4NgJfsGlrmzgKlfY5WVX2Ia0cuJRI48HX3ZFTTivF+ft+rwrVUdXmXXi4JNegqvYXgljQJ3Qc7AJyNQx3w3KT53egSALnr89++NhJUwCzYRCYQ1c/r40ZBwXQE6gMjuHg9JzM7gLtJ9IU30YM9aZrSWnFYHcdiWs2e6e8FIgvqrBMhJucJ97JxazHQlHwUHwMcg5x5rO10xcjtE3rYpoUOCbnLJvvxLYHzYF3Y+aHcupnwu6Jl/BFaDz5dinwx+hHyifYfAUNPf2t2Tr244EdoGlcBMovVYFtoVfwDfVOdbkzO+BNnAKHAEDINbinRubxvYTpIA5+AQJa9nGVaAsdhAQTNUMJxzP4SiO86ra6WvG1sHLtwXba+BOiH0GqI5Pnd7uoA5fy7nqrILn38H+a9ASnoQHIRTGy3X7sfo7tgqNkYN8BzT7kgPTkrFvmslqRppOpvtoDjBhi/7NfF3WfQSZHQ3HgsKVWWWOL3hM+iu/ifAJtAY56Z9AM29dQ60g/AW+h0dA9+llsBgKoBB0neZBNjQC9f1ngcrKA+XbC3qD7MfyTYX/n8SRF0HnvwUzwCzFFDAHn2IXJATV0dLhasBfV2o/cFROlx6ijB+FKZpbaeqaH3yZU9+G2fAutIe2oI7sOlCn9xh8B8dA0NRx9oDOoE5Ts760N7zCpvwxY5cCV/JpDRqTzzm3wFKYAAXwAsjp+FZAYBd/J7CVlsl2BHJcGqwUQF2b7jM5yQNAg6K6sLVksjk8D7r/uoPuy1WgGbz68CGggYUGX8+CHHp/0CrVXXAn6FhT0MrBLDgQvoCpoGupVYnPYSZoADAeKrOnOajPuQYVc0D5DwOzFFIguCyUQtVKy6qMptZapjs4UHvNEPXBkc5aekyk/YvMNiNnAAA4QElEQVTMNarXhzlZpnYeBc/An0Az44psXw5ohsGDuyLNBBJl6tB8U4ekOrYDdfRy7r6pQ2vj73jbK9g+Ap+BOkU5NnWgaW1NXU4vHolM6lSzGex9NL49/B9MglyQTmNhf9A9WJF9xYE+FR0MQfyvtOEjkFMWEaitlZGBBkZTQFpL53mwBg4H9SvXw39ATnY63ABy7LrPH4KBcAlo0KFr1BD0+RwMOvfvcC98DypvInQEWfvo/7/91+G3YPSz3oB9rQCs8OJ1bmcvrFWFoMXuB49Z2BRISQX0oe4Jo0EfujPANzl4fWCy/YgEbuXgr01g/lXJ+ggSaca8G3wZc8Io9q8BPec7BN4DdQRyDt/EcDX7MnVGI0AzjFdgS7gbPoErYS5I8+dAjkX57QO/gN8Jfk24EcgGwa2wPWgWpBmNb+o4zwZ1pv4ssyVhdaqbgzrJdaBrmtbGS4y38G2Df6hBI9pzjhyXrkOsvUXEpV5kAVsNhmaBZndngWxneDsaKp95XkRYs0hdqxshC8wqV0B9SUX3YDOO5cQ5vTFxm8SJl3NWfjINRraIhjL0v772kl2GXvmqN1sO5E5oVcEpcliTYRnIcfkfqIcJnwC+HUngMW+nP9vpsAomwe4g0wfyXpgPck5twbedCIyC5TAb5Jzqw06nkBdB9WwIGvj4phnBgaDOXp36tqAO5nFQvLgEWsBr0MHbKtwV1sBQkOm8a+BzeBDklP0O7CTCcsrd4RmQkz4RgqaZyiyQQ5eOu4LyGA9BG8KO0iyFZ0FLn0qftjaN2VYWbV3hSjRIqq7pvpIzXhDnRM3cgtd7P/Z7w9XwKOiaCV1X2YVwAZwHx4NmlGeCWeUKaJC5pIIkGthq4BprK4jQ5yfW1hKh/GRloNVGsxApwGfdrA4VoP90Q+BfcfJsQdzroKWzHUHO159xf0b4NPDtVAJyXp3gQTgFtoYJcBvI1EGqAz0AlOYw8E2O7X+gJWc5d5WpWWiibDQZa0BxEKiNMjlmtcGfISjuPngDFmrHM3U+mn2rA3oELoLpcDRMhSEwF64HzTrPB2n5MswG6Sj9moAczNsgB7QI1HnJOW8JQVO8BiN3gMrW0qXKVXlBU5lyQKqPuBHSuhPc3uXswTsP0xn1rKIt1TXpvriCk6Sj7jffBhH4EZ4DOZ72EDTd0xrc6dp9AkPgNDAzBUwBUyBlFPiVmsixjIYToCEUwFHQHDQylpOToxgHjT06spXTkDUFOSotJWsmqg5RDllpdwaZHNjlMEU72PtwcTRU/p86SX/AoPqozBzYDVZCZ0iUjSbjIiiGbz3ms1Xb1SaZOvtdoqHy/35g083b10DzTfiXt6+NBgP3BPYVlHOVBipHs0JZLqgsaStrCy+CBhFy2DNAjjmeqQ59IBLvYCCuGWFpmfbG375fyxK97s2amO6leRWceCfx/vUqIOxfWyX/DrpDD9D1kCmfPaOh8v80UNW9Y2YKJEWBvrZEnxTd061QOfxL4CGQU/ZNjkcOTh2cGAty7FvBMhgFf4RDQc5aM0855hNB6b+BfuCvumxHeCL4Nt4PsNVMS/kvgrshG/zzCCbE5GTXwFlwNKiusuPKN9EXcV4irLaOANVnGxgDcsDNoRDuApmc+QBoDTJtNeh5EuQIjgTl8VeQk5d+Mq0CKK3aLsesOvkOXGmuATn/Q0D2C5TBgyCt4pnSlMQ7kE5xjHp0H+zNdwqMrWG9v+I83dP7xZyvwc/x8HkgvjQQjhfU9d05cECfDQ24zEwBU6COFEh0p19H1Uy7bF6nxursBgVq/hlhOW45H58ehH8C2fNwDPTzwmyiy8hykIrTOXJ+vrOaQ3gn8G1bLyAnOBzuAS2ZHgQ6xz+PYJ1bA3LUMvjjcDFMgxkgOws04NgCnoAdYTlocKM2dIMLQA5CTlsayL4GpVF7dJ+eA8pX574HjUDOeiC8CetAJk3ag8q9EOREeoJMqyYHgo59Ab7dSkAO5no/Iozbo/nKX77ffw4eWoPHmphWTnQdhoBm87LGoOv6PfwXqmojSXgyaMCga6zr/zGYmQKmgCmQMgpoxi4HMhpOAN+2IbAKNDvMhk1Azqk7yE6FKaBjsk1hLswDOS+ZnNer0VC5gx5BeKa3fyNbdZI6rx2o074WVK7qpI5TdgqoDt20kyCbRb4awDSEAjgKmoPKLYUbYS3sDnIIcrSFoDppNq1jmtlrlixH/S7I6X8Eq0EDga9A58kGwUug/G/29uWkZd/AEtCKxqfedhFb2Y9wWDRU/t8PbB4CbX29yo+E8H++Enggy/NaEaqtXUIGuh6LPV5gq+vqWwEBDZh8+46A7vseMMOL1ODtDdB9q+vzDOSAmSmQFAXCuESfFCFDVmhFDl7NvArkhHwnfhFhOX11cl9CLwjac+wMD0S0IjwRJsPX8FdYCQ0hF14BrQCIt0AOXvYwFIDOfRrGgWZIibLRZHyCl/kRbDVI2Rb8tsv5qt3zY9DjidPhSfgTaIl8GPSDEXAoqNNvDvFMA4LtYw6o7D1hCy/+ALbfemE5+F28sDZy7Jp5LoedINTG8/cRjJba1GEj/dWV2mSpgcEmtcnAzjUF6kKBviF8Bl8XumR6Hr6Dr6oOcvYVOayK8lB6LVPHM808lWesaWavgUB92GgK8R28ytPAQ8u1voOX038HgiZHo8cGW4Ic7SNwJJwP94MGLRvr+OM5eA2GzgTfLiUw0tuRgw86cpW7D9wAYyC0xsy9CzP4x0PbQGuYKVBLBcLo4CtyGrWUyk6vRAEtQS+p5Hi8Q0pfGu8AcZp9Ks9Y09K2Bh/JMDnVQwIFv0dYs+ruXtypbN8G3X8LQG3Qsv5H8CH0Bz2+WAPVNTnzk0EDH80wtXLxMVRkWlkYBFvD6RUlStP4ZtRb90Yr77vnpe/VoIFXV/DtPAKxAzD/2Ma20u7WChJpANWtgmNViabPjb4zUZW0lsYUMAViFDAHHyOI7daJAnPIRc/GfZOj/iuMhRnwZ9BM3R+YyCn/DEthOhTBW1ATu4OTCmEW6Hn8bFBcZbaWgwPhLpBTDIv9QkMmQy8WS/YrdcUaPP0BXgY9/vBtPwLv+zt1uN2XvL6uRX4aeOgxjpkpYAqYAklRoLpL9EmpZIoUqkcJwccTWqJvnKC6Kd+NLfEnqOiUyvaevfhWxCKX9yy10iObApBDHwW+aRDU09vR6okGWVrZmAS7g2x7GA8rQfF7g0wz+KdBgwcNKBTOBZlWbjqD3nsYCoNBq1F6/6QryHQP3AM/wedwO2gAeCaoLMVrxScL9A7LFzAPbgTFyTQ4GQDfwXy4EMxMgWop0NeewVdLr0xJbA6++le6FafoGf0c0Ix+HJwGGzM9L9fSfaJMjk/OK0x2+KUua2aRy9WKyWHwHOTBMmgE28BSkLPsBHLs3UErGY+BVldkul5ahdGg6RLwdZKDXw69oTNo5eRkkPlL9BokrAM55dbwMLwBMuUlx74DHAv6PP0D8uF1UL0Vvhimwh7AikT0r0nOZisrgHdAeRwOhdAEzEyBKivQN4QO3h8BV1kES2gK1FKBLTn/Y9Dz4O2gM8i53wtyEmZ1q8DYbi6rw9zyQdQfyPoDKAI5VemtQc1oKIWFsCdolqz9r0EOWVYCPUDX60FQOt+GE/gQZsDboIFCrK0g4maYD89De5DpHYlH4RsYAWNAJiddDKu98ClsH4fP4BMYArpvfLuLgPLQwEEDjjZgZgpktAJhdvByHtdsBI34zepXAc0iC+A+UAcu09LqEbBIO5ieu94NP4Fm7AdCrOnerWjJdhTHdO3lsA6BnUBx6vhnw0DwTbPGr6AAjgHfKsvfT5PyW6bDm+GhV27rihtSWTl46SDTtifIwb8PMi2Jnwhy1HKW/cDvI64gnAufwXQ4AXzTdfJNKwMN/J3A1r+2ipLTzvGObctWAwrfNPCIZ+2IHBc4oHDQieta+6b8VVczUyCjFfA/ZGEUQR/yk6AlvFxBAzepIN6iE6eAnIq/vBssZXxgZxjhH2B3+CO8Cp0haBeycz6cCbqPh8A80CyvI2jwcBbIebwFz4GWb/vCizAUmsJjcDZ8D8/AOpBVln95ijT4P9vl7feDK5UGGug0Ag2mZHLw10Jb0GBLdjocB3LsU+FIuBNkJaB45dEfnoK3QVZWvqn0/4rSfMZZu8JE7+xubDW4iLWfidgZPvUO7MJW94hvFeXvH7etKZBxCqhjDKstoGH7wmTQ0p8/SyFYbTuUMyqaEWRXO7fMPqEVzQ/O+GLVkMPpDVqSlcOWA74ANLv+EnzT8cdBDkI2BE4DxcnktP4XDTl3Lls5uQgUwBpoAX1gGrwCsidBTk62sfzLU6X4/xEX6T3blap910DwM6CZshxmFvgOdXPC34Kcu7QaAP59P4Tw6/AwPAu3g9LU1nSNBsA7sC30Ab8+GqQ3BdlIOBmGgz5zx8O7UBNrwknLa3KinWMKpJMC+nCH2VbRuLNgn1o2sj3nb1cBddHJ1bJ6aXW6HGqnODXWSktzaAc/wjzwTbP7Nv6Ot1W6cYE4hYNplIdvLQiMhUWgpf9s0L2vmb4/cyS4fnao8MbyV5qUthXoyd+/tx3uSp+iotJ3VKDCJYTlzKWLb1o50QBLg2JdpwnQGhrC9XAeTPe4ka1m1bU1rZrMBK3q3AsfQxHIVLd7QGXfAYUwCzQAmA2Kq6rpc3oT6FwNCmfAYMiDVLG+VORArzL/YHtbLSp2M+emUttq0RQ71RRIngK/UnTP5BWfdiUfTY21tCqnEbQX2XkMtgc5H3/mRjDa0Z/NVgO1KYrA5ITOjIbK/7uUzUhv/0e2O3lhzUp1jbS83ADU0WsGr+OXwNvg2ykE5GhkleVfniLF/+fb647m62mvqUE1NdDSACieNSMyJ96BGsYdxHkdAuf+l/CFgX1ds+zAfmPCmwT2qxocQkLdH7ofZMrjTbhPOyliI6iHVqFkuv+10lATk15lIO3MqqgAo6t/Hu4iBVVMbslSUIFdqVNNOrzKmmIOvjJ1fn9MjkNLxc+AZpXqhAbASmgD6pw0s/wzyBnrmknjLhB08IPYfxfUCarTHgs3gOxH8B38NoR1vt9Zyomr8+sGXWEZaFCherwCvoOvLH+Spb7xp3H3FLucfVO8pkdQPw3aNNi6D2aC7ou6NA0KNGjcIibTLdk/xIvTfXkRfAFaPdIKhT/I0f06AL6D+eAPQHYhPBS0ErAEvgTdUzLdu9fBXFB+fwPFyXQvvgSL4A3YFc4EfQZ+glPhSrgcZPHSK/5D6KCAZx+xbQfKW/e4Vili20yUWTwFzMHHUyW94o6kumPquMpyHj3rOM+wZ9eaBr4K6hSXw2joB77tTWAWzAF1gmeALOjgm7KvznEpKI0GDDkgCzp47eu5cQFMhKdhHBwPsotBS83qiJ+HSSCrLP/yFCn8/2JehmP2/gbr7HkpXE2/ahpsDQQNvpr7kXW4PYC8dD9VZroPpsIe0As00DgbZAXwDuwAh0MhyOnuDuvgRtA9rftM96RM73J8A91B6ZT3niB7BZ4CDTA0qNBjiXx4Hc73wsEl+njpSRYdDHRWwLMFbDuB7l05eOUfAbMqKNDXZvBVUCm1k5iDT63rk0V11BlVZJrJbayDakyaqizZbkq6hhUUlEt8owqOVTX/Ck5PTvRal3MIS/Q3J6f0lCv1RGo0eSO1+oTjlwfS/JXwGG+/gO3BXlgbDSh3BDnuX8C3/QnIkcs0678adP+IK+A20ICrGDRYkOn+xrdEV65GsD0NZL6Dryz9T6SL5+CziZeDbwBmVVQgjA7en/FUUYK0T6YZ4f/SvhXhaUApTVlWSXPUkW7MVmwsgXd8dSXp1OGKeFbV/OOdm7S4iMvat8yVjk5aBVKr4GlUpyPImcrx+aZ9OUjNtNvBOPBN4TP8HbYLA2HdSxoUyoL3qOL9PnUrwldBcNAwif0OsAZUpkz1GRkNxf+vuunj52KxGamAZlCZZF/SWI2MzUyB0Cowi5kbH+zuy1xJ0GGFtr1VaNgM0siZ7xuT9jj2NdPeBPSYZmfwbRcCP/g7bIMDg0B0hfGfk+ha0NK90NL5KaAZv1aLFOfbmQQqWkGqLL0eD+R7mWjWvrkXto0pEFUg0xy8XXZTIPQKtHU5e7I0MpUHsJpRmpWvzvwZIfT+RTdPkL3Z3gI3gmbUI+FkaAJylMfDx1BTe5UTtQLQDDS4eAYGgmb8U0BL8YrfD66AVaDr1RSCVll6rSrs5SXWYMVfVZDjLwS1xSyDFfCXkzJYAmu6KRA2BbL2K3ORsWFrVS3b8xDnbwPDoQUshhfhSZDdAXLCLIBE37jXS3WKq6npUaBm7AWgsqaDv3p4FmGVfQGsBDl4rRDomj0AsU6+ovR3knYoXAsTYSr4NorAXNgVpvmRtjUFTIHqKfAryXtW7xRLbQokRgF69Ry9Pc+6bqyTSEyB6ZmrZugVmV6I05J9XdmmZCTi2RZxIvViXHaceEXFS69Zu1YJ4llF5cZLm/FxfUP4Fr3N4DP+tjYBwqTAPi53N2bvP9DjLwtTu+q4LUsryW9FJcdqckjL7hWZnvvH2trYiMB+vPR6OZTxXFyrrOy4J1hkuBSwZ/Dhup7WmgxXgLfne5e5sg8zXAZrvilgCqCAOXi7DUyB8CjAS1tl+xa7Ij3LNTMFTIEMV8AcfIbfANb88CjAF9vswvL8os02/Jvt8DTQWmIKmALVUsCewVdLLktsCqSuAvxyXG9m8DZ7T91LZDUzBepVAZvB16vcVpgpkEgFIvutc8X2/D2RElvepkAaKWAOPo0ullXVFKhIgbUuf3uOFfL3XbMrSmPxpoApkFkK2BJ9Zl1va21IFchypfpGNFueD+n1tWaZAjVRwGbwNVHNzjEFUk6BiH17XcpdE6uQKZBcBWwGn1z9rXRToNYK8EXq2/D3cQ3zXJH/C2W1ztMyMAVMgfRXwGbw6X8NrQXpr4C+G13fRX5uTFPOZ1+/EV6pZbk8Zu81fnv+PTKPLbfS8uygKWAKpIcC5uDT4zpZLTNDgZtpZpvqNjXiIvb8vbqiWXpTIAMUMAefARfZmpg2CjxITfWrZ/GMVXh3HcyFefA3iHRhO40X7O5wxVPY14+UfAEHgWw3eCEaiv+ffr5UaQ/0DmslQSsG+h57fcf5lyDrBkNAv5CmxwD6QZYnQOn01v7V4Nv+BCaDjikv/UCKfrNc9WoLvimvaf5OYPsx4dO8fX7/I/qLaxt79FBAul28c2qz0QArz8tAZfu61CZPO9cUSJoC5uCTJr0VbAr8ToG7iOkMx//uSLnTO5X4I+Bo0G+X73GNy8l+3ZU2usk5fgI++tOgcnS+gz+E8HdQmenHTbp7CeS0l8N5oF9J1J/eyfTrair7M/gzHAodYTtQGRpsaF8DhNdB7dgRlJd+yjQfdoWp8KOHHGgrDzZuENyqQMBUD+VZVdNKxqSqJvbS7cFWP+KSDTeA3yeq7K1Atg9oAFVXVpN61lXZlk8GKWAv2WXQxbamprwChdTwQhgG78XUtj/7T8L3Xryc8RHHukjjg926ZoQ1q+4NmjXvC7KDQU6rMpMTlqOVMz8MWBRw14DyOQa6ghx0KZwDl4Jm1HqU0As0Q9ds/VOYBTr2GpwIcuItYVuQacauPNS+1tAUXoW9QLYNqPz74QzYHeQMVfbDoLgIrIF3QfktBNnxcDlsAmdBEdwO+snUD+Bc0K+utYBHQbPz2fAgyJ4v30RXHxQn7VSvMiiB7UC/3f4tXATjwMwUMAVCroBmOj3ruI1N6jA/dd65dZifZVX3CsjpyJH49jQBOfPgS3ZynJppzvdp7txI/fZ7nnNvECfn/ArIuS8BOX05v8oG8QM5rvzGwi0gR6b9YpAz1IBDdXgIVoGcdWeYASpzEcj5ymHrmJyfzlEe62AxLIDRoPYtB82Ex4EcqtLp/M1BTlWOW5+n1fAjTIU7QefOgrWgek0A1UFOXmWrTJ2r9EtB7ZAzfgDmgY6NBA0OtMIgbbcEDRjmgnTVYEPlPAfLQPXQICcfRoHqqsHDFaB2KV+V9RI0Atn7MAC+A6XXYM23Ywl8BQVwL0wCsxRSoG8Ifw/eX45KIZkztirqfG4CdeSfgTqwwUD/vVH7iRSdoQfoPJk6TXW46pwOgLqwH8ikW11kZHlUqsCVHD0K/i+Q6nPC10Jrj07jXd6/CX/GVPVttn2gO4yHyTAQPgQ5u6DtwI7O800DADn4vWA5XApPw/kwEZ6Ad0AOTQ59LWgVQWW0h0Kgb3Snw19gDLQHpbsT/gD9QPYlTIFOoPt6C1A6DXDaQi4o75tAzlYm56zBgtq/N6g+u8Ic0D0uneSQr4BWoPQaBCj/40H1OhC2Aul5GAwCOfDhIGedDStBpnpsBx/DIbA1qHw5d33GGoDa3h1Un65wIsh03ilwOJwD/4QmsC08BtfDEXAQmJkCpkAaKKCOomcd1HMIeYwEdVoydShvwn3a2Yj5Dl6dWmsv7cFs1RHVpbUhM3XCZnWrgByc79D8nOVgFTfCiziO7SfQDCLwynCXM3aNyzmAcCdYAO+C7CZYDmdCrDUkYhV0hJuhEHT/LoGXQU5dDupcKAI5MDkl5acVgakwH74HOcY/wgqQE3wf5Ci7g+JnQyl8AGqLnLLyVJwGHqqHPj87wliYARoEHAkPw9dwN+hc1fFFUD1VltqrOsyCAugGH8I8+A6Ulz4XKkfla7AhJ6t91d9Hs3fVWW1ROQWg9r4CZ4BM9VH7VXeVeRHI2sEbcJ12sALQ5863RQTUtvNgjB/J9nKYFNi3YAoo0Ndm8ClwFcJZhcY061T4Eyz1mqiZyFnwtrevjvkRUAemNC9BIwiaOvonQZ3dE6D9ySDbH0aAzlXntSXIrobrYS4MhqvgSlCHtAyeAw02ZE/BttGQc/3ZTgd10pNgdzCrOwXkjD4NZPc/wnJqBfDtpgy0/uiyV//sSsZrH1aDnKRM164x+PeO4nyTQ70HxsFfoQAmgAYHX8Au8CDcCj/CFNA9IqeqY13gfSgGOTvV8yPYC3S/6P5UPXQv/QKngT877ks4B3Tv6r5RnhGPtWx1n20Ns0DH1IYmoLJuAt27x4PyawX6TCwEmQYNLcEfIDcgrAGv6rA3DIS2sBzUjtYep7AtBN+eJ/AfOAxOgnxQXWbDljAf/gVy3jNBemSDb359tK9rkgsdYSL4FryufpxtTQFTIAUVUIep2UVt7ABOVqdWmV3LQXXC6sQ6www4G2SaqSiuByheHc4J8Ak0hQ6gjm0AqJN7DkaC7B7QLOZo2AMGwWI4BNqBOjE5c9kP0A00cFAH3R2agTp5Pz+CZglUAN/uNmXmfiC//35nLcrJ51w5bt0LMt0v38Gz0AJOhDEgGwcagMp0/yyA20HOeAkoTqb78T2QI5Qz9uMvJlwGur/kiHVfXQpynIrfE16AEpAjlXP+HFTO46BzPoNTQffcr6DzvgfduwWgz5Di18AsKISrQKZ6jQINFl6EGyELVE8NAIRsLXSGHHgflPd5oM/RXJB9ABpw7ABt4Bm4CWQFoMGDb6pHV7gE3vYj2Z4CkwL7FkwBBfqGcAavG9ks+Qq0pApa5qzMhnFwCGjmsAl8C+qg4pk6TjlgdZiaVZ0BU2EIyK4Hna9yZa/DK9GQc8exfRn8DkmDivYQNM1S1ClPA3WaX8NeYJZ4BTQrxANl8dOwES1J19TkAIsCJ79FWCs0V4MGeEG7i517QY46Aro/OsGPcBt8BKrXZqD7R475VvDjGxGW/R2+gjGggYHueZ0zFuRwdc+2AKXRvrb9Qfez7jGVpTo3AJnuw3agQex/QM69ISi97ts7QQORbFB5alsBqB1ngtIVQx7I1J7p0A3mwAHwAMyDLUDH1O7J8A2o3nL0s6EyU3tvhe1B+Z4AZqZAwhXQh8gs+QrIUXaESExVtK8ORKbOaDCoU3sT1NGo46qKqRMcH0j4HWF1eJqByOaWb9b/r0GEb+q4c/wdb7uS7YkwA9TR9QO7lxChPmxC+bLvHqtd4ce1LO+fnH+yl4euqRzncG//Bbb7e+ERbDvA4bAnXAC+k1Ie7aEP6D7TzFsWjO9SHhW9b3sS3hn2g0NA9422//JozFZpNNNWXo2gD6guSqsVo/NB9hWMATlpDQw0oNXARZ+lz0D3uPZ1f28CcuBvwSxQGceDlvRzQTYUvgelOR3GgfKSQ9fAohe8DtvBeNgdRoE+i5XZFA5eB1oJ0GdvLZhllgINaK7utXq12I67Xgu3wtYrIEcZgX1h7PrY8tnQfeyrk3kE1FHtAnLAT4POqYr9TKJ9AglbE9bNpo5OpsFD0MqCO3HC6vyOg34wFY4EzZbM6kGBbi6nJ989P7P5xld96rI2uid0H1Vkiys44McH71U5ZNmnkB0NlS99e8Ho46Rr/R22Gsh0gJag/NRZPgpy+HLy00D5aCCxHGRD4d+wAraGuwHJonlpJl0IvUGDly1BdhCcCRq0qjwNEpqAnLj2f4GZoPL0udTx20EDAFn76P+//adzfHuAgOqsuq/0I20bSgX60yoNTHXNdY/qXjkVNMgcDVfAdEi4qXCz5CugDu/PIKfdzavO3mxvgRthDahz+gjk3NvCwZALVbGRJNKMaWfQNT8H1En5nSHBapkGB9+CnHsEBkBV60JSs9opkNW7rHbL87UrPnln697XQMO36wlcDpfCRSBn7ZsGrYPhB/gvdAINAjQTHwsaTO8P94M+F81gJ9CsXQOZw2EGyNn3g9i+Ummqa/qcm3Ovrmrpl741VdagUnYo7AnqfxU/Cl6CerHYm7ZeCrVC4irwELHPw3CQ45WzfxmeBNldcBuMB6XRMXVaVbHPSaTBgmYcBXA8HAM1tWGcqEHGZNBAYQLo5m0IZglU4KZyR9OryBVpsGdWsQJa8VoKWvHqArr3NRiVjYQ+0B30edJ9PBA+hBIIrlDpvtZnzz+XoJkpUGUFjiKlBpHqJ5fBIMiDLcAsDRT4lTr2rON6aoYcz9TJ1ObGyOF8rQTUlSkvGyTWlZpVyKfI5XYvcvkPVyFpmJNoqVMzeX9p3W/rZQRe83Y0Ez/VC2swugBu9/Y1MNb+u97+TWyXw5nevpz9q15YnzmtDGhpXvYP0EBbptWBbtGQ/Zf2CvStu7for0EM3TM7gQaLV4Fv6jO/hnoZMFrn7MueWlvNPOKZOrWaLA36eWl2ssTfqYOt8iqtg3wsiyoroOX5Gv/2e5VLCUHCyla89HhpNWipXjYGGsPb2sFshapcB/u/ZgpocKm+9hV4FG6FXNgLdO89AerLzdJAgUTM4NOg2VbFZCjAd8+/xA2nGanZxhWo7YqXrVBtXOPQpKjDGXxQk83Y0TN42TawfTRUT//ZDL6ehLZiTIHaKsAX2+zIsH8VLzrMrW1eGXJ+bVe8bIUqQ26UBDZzFXl/6uU/h60eDR3m7Sd8Yw4+4RJbAaZA3SgQcWW8iWvL83WjpuViCiRFgfaUqiX6ejG9dGVmCpgCaaFAZL9SF7klLapqlTQF0kyBRrzd3sBFNlnr8g6PV/UsV/pznivWX13UxqZwcuzLobXJr9JzzcFXKo8dNAVSQwG+CKEDNclt4Ar1ko6ZKWAK1LEC83nxspUrK8ou/z2C3+XO4LrB7yKrFtGMZCtBL96ZpZkC9pJdml2wdKwufx53GlyUjnW3OpsCaaKA/jzy/Tqq63HkMwEKQe+CyLkXwEOgv9ioF7Nn8PUisxViCtRWgYz99rraCmfnmwL1rcDBFPhPuA70RUksCkS/uvYgtvomRf35XL2YOfh6kdkKMQVqrgCv4W7JC3Zb5LuiqTXPxc40BUyBelLgEMq5A/S9CvpOE31XCE/Zoj9kdCXbdqBl+4SbOfiES2wFmAK1UyDX5fH2fOQjctFSn5kpYAqktgJfUj3N1uP5167EtwA9k0+42Ut2CZfYCjAFaqdAxEX49rrSp2uXi51tCpgC9aTACMrRm/gFoN8B0Sw+H9qAHPx5UC8v3JmDR2kzUyBVFeDXKZqxPN/hZVc8MVXraPUyBUyBDRTQ1yCfCPqdgh1AS/Jaop8H+v2Depm9U44zBy8VzEyBFFWggcvfl5X5cSc4ty5Fq2jVMgVMgfgKTCZayM6B5VBvzl2FxntGoHgzU8AUSAEFyr+9rnRsClTFqmAKmAI1V6A3p+5Y89NrdqY5+JrpZmeZAglXYIFzm2a5SJcCV+J/l3XCy7QCTAFTIDwK2BJ9eK6ltSRkCjR1Ob1KXdmkTuVflhGy1llzTIGMUuBDWvt9fbfYHHx9K27lmQJVVCDisvbj7Xl1DGamgCmQ3gr8OxnVz+Qlev3ZQnYyRLcyTYGNKTCNH77gw9ljhSv5ZGNp7bgpYAqYAvEUCLuD1zcKjQP+2sjdAw3At+cIHOvv2NYUSCUFtnc5e5S5sukt+f33VKqX1cUUMAXSR4EwO/gIl+E+uA0OBb3BOBxywcwUSHEFsnqXuqwPU7ySVj1TwBRIYQXC7OC7o/t0eBM0iz8CNBsaCnL+ZqZASirwYvmjo70KXeFHKVlBq5QpYAqkhQJhfsluJldgJ9CMvRj0RSGng34AQMv11XHyF5A+uLzP7noLs4brG2mB+lPgaJfbvcxF5jQp/4rL+ivYSjIFTIFQKRBm56TZ+uvwI2iJ/gvQb/MeCe9ATxgGVbECElW0tG8/AFIVBS1NNRTQ2/Nl9uU21VDMkpoCpkBmKrAtzdav9wRNA5sLoUcwsobhXzlPgwUzU6BOFCh2eSP4Mmv9MIWZKWAK1J8CAynq/forLvElhXkG76v3gx9guyvozfq/w0NgZgqklAKFLq8Ly/NLN3Xup5SqmFXGFDAF0k6BML9kF+9ibEOkluvNTIGUVMD77vmPUrJyVilTwBRIKwUyzcGn1cWxymaiApH9Sl3xh5nYcmuzKWAK1K0Cmebg5yDf/+pWQsvNFKgbBdY615GcyvhzjeBjpbrJ3HIxBUyBjFMgE57BBy/ql+wIM1Mg5RTIcrn67Xd7ez7lroxVyBRITwUybQafnlfJap0hCkR684KdLc9nyNW2ZpoCiVYg02bwidbT8jcFaqQAf2u5Fd+81CTPFX1dowzsJFPAFDAFYhSwGXyMILZrCiRDgWyXx5fbRGx5PhniW5mmQEgVMAcf0gtrzUovBSIu0tu5UnPw6XXZrLamQEorYA4+pS+PVS4TFFjhXHP+/r3tK67YXgDNhAtubTQF6kkBc/D1JLQVYwpUpEA+y/Mc++SE8h9EqiiZxZsCpoApUC0FzMFXSy5LbArUvQLet9fZ8nzdS2s5mgIZrYA5+Iy+/Nb4ZCuw2LlGPH/vPNOVfJ7sulj5poApEC4FzMGH63paa9JAAX5QZtAo56J/otrI5exT6tzEnZ0rSoOqWxVNAVMgjRQwB59GF8uqGg4FmLFv1svl7ajWRFzWvmWBt+dXObdlOFpprTAFTIFkK2AOPtlXwMrPQAVK9WU2O81yrgEfwO7LXMk4iVDkcgfkuVz7HfgMvCOsyaZAIhQwB58IVS1PU6ASBda5sqiDb+ty9mR5fipT9l+LXP5A57L2/tgVT6nkVDtkCpgCpkCVFbCvqq2yVJbQFKgbBda5kq9zXN4FOPRicvyEZ/I38SU3my10xZcf4FxJ3ZRiuZgCpkCmK2Az+Ey/A6z99a7AZs4toNDcMle2P38i9wc+hKXM3K/e2rk19V4ZK9AUMAVCq4DN4EN7aa1hqaxAmXO/8LLdTnz//Bu5rvB+6kqUmSlgCpgCdaeAOfi609JyMgWqoUDRg2Uudwq/Hje4GidZUlPAFDAFqqyAOfgqS2UJTYG6UyDPuQnOFYOZKWAKmAKJUcCewSdGV8vVFDAFTAFTwBRIqgLm4JMqvxVuCpgCpoApYAokRgFz8InR1XI1BUwBU8AUMAWSqoA5+KTKb4WbAqaAKWAKmAKJUcAcfGJ0tVxNAVPAFDAFTIGkKmAOPqnyW+GmgClgCpgCpkBiFDAHnxhdLVdTwBQwBUwBUyCpCpiDT6r8VrgpYAqYAqaAKZAYBczBJ0ZXy9UUMAVMAVPAFEiqAubgkyq/FW4KmAKmgClgCiRGAXPwidHVcjUFTAFTwBQwBZKqgDn4pMpvhZsCpoApYAqYAolRwBx8YnS1XE0BU8AUMAVMgaQqYA4+qfJb4aaAKWAKmAKmQGIUMAefGF0tV1PAFDAFTAFTIKkKmINPqvxWuClgCpgCpoApkBgFzMEnRlfL1RQwBUwBU8AUSKoC5uCTKr8VbgqYAqaAKWAKJEYBc/CJ0dVyNQVMAVPAFDAFkqqAOfikym+FmwKmgClgCpgCiVHAHHxidLVcTQFTwBQwBUyBpCpgDj6p8lvhpoApYAqYAqZAYhQwB58YXS1XU8AUMAVMAVMgqQqYg0+q/Fa4KWAKmAKmgCmQGAXMwSdGV8vVFDAFTAFTwBRIqgLm4JMqvxVuCpgCpoApYAokRgFz8InR1XI1BUwBU8AUMAWSqoA5+KTKb4XXhwJFLvesYpc/KrasIpf3McdOi43XfpHLn13o8rrEO1aTOMp/v9jlrYEVsBx+pvxhy5xrVpP87BxTwBQwBTamgDn4jSlkx02BOlKgzJVdmuuKGkOTxa5om4hzTRq6/LvqKHvLxhQwBUyBDRTIRAe/GQrkbqCC7WS8AprhM6u+hu3CtS7nEE+Q/uz/xEx75lqXf7gvErP+/sRNJ/0qtpPY313HSHsVXMnsfwzHlnHsuR+d28Q/L7ht49yvzkVG4eTbKp6drcjnbq+8KWtczoGKZxVhF+UDQzi2iHxfXelcSx0zMwVMAVOgMgXC7uC3o/EPwCBoBE/CUlgOF4CZKeAr0BGHe+A6584qcSVfKBLnuy/7+5c5d3O2K3sBx9oCR98p4iIPOld2ympXtDWpJkRc1m1KX+rKWrC5ptStu7PEFXUj3KOVyz1Bx2IsgjPfjRn9aWWu9GUdy3H5w8irebErZLBQ9kCOy3p1tXNtIq6sAeWdRB0W/uoKdyhzkQUNXN6/Y/KzXVPAFDAFfqdAmB28ZulvwVpoD+OhFXSGI+AKkNM3MwWiCuDM72vgCt9giWehInCqD7L/bb4repbwrHyXe/hqV7iw1Lk981zxF2z5577GUbeOZlB+zssNXMnbTNtn47DfxTm3JzpqhAdrZq+ZP4OCiewvXu2KX2D23pbBRG8GBdc1dG4eeT9Ged/lutxjys8sK1nhim5rwuC01BVqSf+P3zqXX37M/jcFTAFTIL4COfGjQxG7K62YAX/2WjOV7T9glscLbI+Gp8EsxAow6+VdtrJ4g7lNS12WVnOixmyZFfXfrMwVaVDoGzP1SJvmzq0sdO5ElsxPZL+xHDEJ1g+UcfaL/BMIr+b4+s8YowE55+GwjoHC3M3LV5JY2s/ZmXQ/yrn75zI4GE+cZvAaaExjaYAFBOcaUF4xK/pbu/x2LODP/C29hUwBU8AU2FCB9Z3PhtGh2PuBVrQH+sToLP4ctoqTMWFyO8Mb2qmCaWBA/xvX7Hl+XFlSJxIn+T0zZhzib/aic9ncBFtzbNZvsY5J/G+W7XJ4VF4iBy7bCVc7lqX10wkfh9Ptl+cKp7JkfyTe/c5oivL/OBTfKGsus/MpsUfXuezFPAJo84tzTXmlnsFI1LqQfqhC1LOD6sta/7o1zm1DVMPFrnCDwUj0DPvPFDAFTIGAAmF28Etop5bo1YF3hHEgk0P+An6G4AyN3QptCEeyKzh6HPEVduoVnGPR9ajAz654ZguXX8gLazf/4ooGsdTdMtvlXsLM/pefWIKvqCocP5ZjH+LUu+Nku5S44veyXf6xON5v81yRVoQiOOYBXPxaDfJec4XfH+3yZ23m8s9mVn4P5XWjjB6lLnIBW1b7I42PcnmsNhWNyHF5lBf5mIf/+HozU8AUMAUqViDMDl6t/gv8B3hfab2xwukuh/fWx2w8ML2SJHrGb5bCCuiN9SJXeiRL6kObu7yrqWoWTvlLHqH361C+ulNB7SMtWIr/Bufeltn7pXja2atc4bA8l3cq8ZM5SY79GY4f/FPFKzwV5P1btGbmxW7d6WUuexhv4F9Kfg14+e6ifFc8FWfPS3duIXE38hb9fdRjWYkrPOy3sy1kCpgCpoApIAV2hWvqWAqtEPSo4zwtuwQpsMi5zRY4t2lVs+dPLppMcy4vNv0K55rfFHj2Hnu8pvs8aG/JufjzcpOD1yBDe7wswGN7M1PAFEiQAgPJ9/0E5Z2UbMM+g48VVc8vD4W/xx6w/cxQAO+5qjotxaPiV39vjZ3TI6A6N94EZAwS3/QWffwjFmsKmAKmwO8VWP/27+8PWYwpYAokW4G1rngWjxP+lux6WPmmgCmQfgpk2gx+Dpfof+l3mazGmaoAKwW8DFqkP60zMwVMAVOgWgpkmoPnxSq9XGVmCpgCpoApYAqEWwFbog/39bXWmQKmgClgCmSoAubgM/TCW7NNAVPAFDAFwq2AOfhwX19rnSlgCpgCpkCGKmAOPkMvvDXbFDAFTAFTINwKmIMP9/W11pkCpoApYApkqAKZ9hZ9Ii6zvqpW335Una+s3YL06xJRmRTLU9/fH/Z26lvnRGmKaV/X1fEnA5nQTr56IPS/L5EJn019BtRO/e5IVawZiZ6pSkJLYwpUpsDoyg6G5NhWtCMTPiy9aefNIblmlTVjAAf7V5YgJMdupR37hqQtlTVjGAdbV5YgJMdGh6QdNWqGPyqv0cl2kilgCpgCpoApYAqkpgLm4FPzulitTAFTwBQwBUyBWilgDr5W8tnJpoApYAqYAqZAaipgDj41r4vVyhQwBUwBU8AUqJUC5uBrJZ+dbAqYAqaAKWAKpKYC5uBT87pYrUwBU8AUMAVMAVMgDRXIhD9P0d+ftkjDa1PdKjfgBP39bNhtMxoowm66lrqmYbeWNFCf0bBbJvS1Yb+G1j5TwBQwBUwBU8AUMAVMAVPAFDAFTAFTwBQwBUwBU8AUMAVMAVPAFDAFTAFTwBQwBUwBU8AUMAVMAVPAFDAFTAFTwBQwBUwBU8AUMAVMAVPAFDAFTAFTwBQwBUwBU8AUMAVMAVPAFDAFTAFTwBQwBUyBGAVy2I/ExNlu+imQm35VthqbAqZAqihwEhX5CL6G56AJhM3USd4FEzzuZJsHYbWtadg82C5kDdQ3u70I38JX0AvCbCfTON2zYbWdaJj6nMnwPpwIYbRM6GPDeN3Svk3b0oL54H+N678J35P2rfp9A84magTI0YtXQXFhtLNo1HdQBGFz8HLu14FWJvrAAtgEwmYayDwAi2Bi2BoXaM87hE/39tuwXQitvP2wbDKlj93o9bIfm9moRHWeYBY5doHFXs5a1g3jd0JrhnAVFHtotWIfCJtpVeIEOAyWha1xtOcQeAjKYDTMhX0hbHYQDfoV+oetYYH2qL/XtdQMXvYTrITdtBMiy5Q+NkSXLHxN2YEmvQRfg5Z3w2yb0rjZ0C/MjaRtmv2FaQavWW1hzDV7g/0/xcSFabcPjQnzDD54rTSoWQJNg5EhCmdSHxv3stkMPq4s9RKpZc6Z0AD61kuJySlEM9zn4XMYnpwqWKk1VKA5562OOXcN+5nwq3IxzQ7d7va06Gm4GMK48qQLlil9rNpqliQF9Ixdz2aFwrGmUbSW69P97eultMFv5yFeI+XcNeP7HygcBovXTr9dYZvBa2ZX4jfO245ke0RMXJh2+9CYsM/gNbP9Cc6HTLCw9LGZcK3Sro3bUGM94xLtoAecB77p94r1fFPLoels3ai8387GhPVugV6yewsaQFgstp3BdoXNwattekbbNtDIGYSlQVitDw0Ls4PXC2h6j+IiCKuFtY8N6/UKVbvk0LUkpk5Tj0huB72QFja7nAapXWrv5h5hX9oNo4P/D9fuftCArR9MB/1VRFitDw0Ls4P/mPb9A/zPpLZhWV2jKVHLlD7Wb69tU0yBS6mPnr+LF2FnCJsV0CCtTAR5M2yNjGlPGB18e9r4FcyD76APhNn60LiwOvjdaVvw8+iH+4fwgmZCHxvCyxaeJumZu5ayzUyBdFCgRTpU0upoCgQUsD42IIYFTQFTwBQwBUwBU8AUMAVMAVPAFDAFTAFTwBQwBUwBU8AUMAVMAVPAFDAFTAFTwBQwBUwBU8AUMAVMAVPAFDAFTAFTwBQwBUwBU8AUMAVMAVPAFDAFTAFTwBQwBUwBU8AUMAVMAVPAFDAFTAFTwBQwBUwBU8AUMAVMAVPAFDAFTAFTwBQwBUwBU8AUMAVMAVPAFDAFTAFTwBQwBUwBU8AUMAVMAVPAFDAFTAFTwBQwBUwBU8AUMAVMAVPAFDAFTAFTwBQwBUwBU8AUMAVMAVPAFDAFTAFTwBQwBUwBU8AUMAVMAVPAFDAFTAFTwBQwBUwBU8AUMAVMAVPAFAifAhGa1HgjzcrdyHE7bAqYAqaAKWAKmAL1oMD5lFECK2A5LINxsC/41orAf2EOzAAdPw1i7WQiJsRG2r4pYAqYAqaAKWAK1L8CcvDvxBR7IftLIRu2hO/gcvBn5x0JL4beIGsGD8AimAhmpoApkCIKZKVIPawapoApkBoKvEk1tBTfCA6DArgPikEmh38EyKHLDoJfob92zEwBUyB1FMhJnapYTUwBUyDJCrSh/L/AaNByfU+YBLE2PhCh5XvRJxBnQVPAFEgBBczBp8BFsCqYAklU4ADKljP3X6KbR1jP02V6/v5TNGT/mQKmQNopYA4+7S6ZVdgUqFMF9GLceV6OP7OdD2Xe/jS2nbxwcNOSnXWwJBhpYVPAFEgtBczBp9b1sNqYAvWtwEoKnFJBoVqePxUagp6z+6aX6jTrP9ePsK0pYAqkngL2kl3qXROrkSmQKgq8RkVmwWOgWXsDGACHwk1gZgqYAimsgDn4FL44VjVTIMkKlFK+ZvB6o346LIQBHvZsHiHMTAFTwBQwBUyBdFdAk4Gm6d4Iq78pYAqYAqaAKWAKmAKmgClgCpgCpoApYAqYAqaAKWAKmAKmgClgCpgCpoApYAqYAqaAKWAKmAKmgClgCpgCpoApYAqYAqaAKWAKmAKmgClgCpgCpoApYAqYAqaAKWAKmAKmgClgCpgCpoApYAqYAqaAKWAKmAKmgClgCpgCpoApYAqYAqaAKWAKmAKmgClgCpgCpoApYAqYAqaAKWAKmAKmgClgCpgCpoApYAqYAqaAKWAKmAKmgClgCpgCpoApYAqYAqaAKWAKmAKmgClgCpgCpoApYAqYAqaAKWAKmAKmgClgCpgCpoApYAqEUIH/Bzv8GS5cTUKpAAAAAElFTkSuQmCC" alt="plot of chunk unnamed-chunk-2"/> </p>

<h1>K-Means Clustering</h1>

<p>K-means works in any dimension, but is most fun to demonstrate in two, because we can plot pictures.
Lets make some data with clusters. We do this by shifting the means of the points around.</p>

<pre><code class="r">set.seed(101)
x = matrix(rnorm(100 * 2), 100, 2)
xmean = matrix(rnorm(8, sd = 4), 4, 2)
which = sample(1:4, 100, replace = TRUE)
x = x + xmean[which, ]
plot(x, col = which, pch = 19)
</code></pre>

<p><img 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" alt="plot of chunk unnamed-chunk-3"/> </p>

<p>We know the &ldquo;true&rdquo; cluster IDs, but we wont tell that to the <code>kmeans</code> algorithm.</p>

<pre><code class="r">km.out = kmeans(x, 4, nstart = 15)
km.out
</code></pre>

<pre><code>## K-means clustering with 4 clusters of sizes 21, 30, 32, 17
##
## Cluster means:
##      [,1]    [,2]
## 1 -3.1069  1.1213
## 2  1.7226 -0.2585
## 3 -5.5818  3.3685
## 4 -0.6148  4.8861
##
## Clustering vector:
##   [1] 2 3 3 4 1 1 4 3 2 3 2 1 1 3 1 1 2 3 3 2 2 3 1 3 1 1 2 2 3 1 1 4 3 1 3
##  [36] 3 1 2 2 3 2 2 3 3 1 3 1 3 4 2 1 2 2 4 3 3 2 2 3 2 1 2 3 4 2 4 3 4 4 2
##  [71] 2 4 3 2 3 4 4 2 2 1 2 4 4 3 3 2 3 3 1 2 3 2 4 4 4 2 3 3 1 1
##
## Within cluster sum of squares by cluster:
## [1] 30.83 54.48 71.98 21.05
##  (between_SS / total_SS =  87.6 %)
##
## Available components:
##
## [1] &quot;cluster&quot;      &quot;centers&quot;      &quot;totss&quot;        &quot;withinss&quot;
## [5] &quot;tot.withinss&quot; &quot;betweenss&quot;    &quot;size&quot;
</code></pre>

<pre><code class="r">plot(x, col = km.out$cluster, cex = 2, pch = 1, lwd = 2)
points(x, col = which, pch = 19)
points(x, col = c(4, 3, 2, 1)[which], pch = 19)
</code></pre>

<p><img 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" alt="plot of chunk unnamed-chunk-4"/> </p>

<h1>Hierarchical Clustering</h1>

<p>We will use these same data and use hierarchical clustering</p>

<pre><code class="r">hc.complete = hclust(dist(x), method = &quot;complete&quot;)
plot(hc.complete)
</code></pre>

<p><img 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" alt="plot of chunk unnamed-chunk-5"/> </p>

<pre><code class="r">hc.single = hclust(dist(x), method = &quot;single&quot;)
plot(hc.single)
</code></pre>

<p><img 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" alt="plot of chunk unnamed-chunk-5"/> </p>

<pre><code class="r">hc.average = hclust(dist(x), method = &quot;average&quot;)
plot(hc.average)
</code></pre>

<p><img 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" alt="plot of chunk unnamed-chunk-5"/> </p>

<p>Lets compare this with the actualy clusters in the data. We will use the function <code>cutree</code> to cut the tree at level 4.
This will produce a vector of numbers from 1 to 4, saying which branch each observation is on. You will sometimes see pretty plots where the leaves of the dendrogram are colored. I searched a bit on the web for how to do this, and its a little too complicated for this demonstration.</p>

<p>We can use <code>table</code> to see how well they match:</p>

<pre><code class="r">hc.cut = cutree(hc.complete, 4)
table(hc.cut, which)
</code></pre>

<pre><code>##       which
## hc.cut  1  2  3  4
##      1  0  0 30  0
##      2  1 31  0  2
##      3 17  0  0  0
##      4  0  0  0 19
</code></pre>

<pre><code class="r">table(hc.cut, km.out$cluster)
</code></pre>

<pre><code>##
## hc.cut  1  2  3  4
##      1  0 30  0  0
##      2  2  0 32  0
##      3  0  0  0 17
##      4 19  0  0  0
</code></pre>

<p>or we can use our group membership as labels for the leaves of the dendrogram:</p>

<pre><code class="r">plot(hc.complete, labels = which)
</code></pre>

<p><img 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" alt="plot of chunk unnamed-chunk-7"/> </p>

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