diff --git a/examples/data_proc.ipynb b/examples/data_proc.ipynb new file mode 100644 index 0000000..ccb3c28 --- /dev/null +++ b/examples/data_proc.ipynb @@ -0,0 +1,615 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Let's solve equation\n", + "$$y(x) = \\int_a^b K(x, z) \\varphi(z)dz,$$\n", + "# given measured values $y_i=y(x_i)$ in points $\\{x_i\\}$ with errors $\\delta y_i$ and kernel function $K(x, z)$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "for more info see https://mipt-npm.github.io/TurchinReg.jl/dev/" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "include(\"../src/TurchinReg.jl\")\n", + "using .TurchinReg\n", + "using BAT, AdvancedHMC, DynamicHMC\n", + "using QuadGK" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "using Plots\n", + "plotly()\n", + "gr(size=(500,500), html_output_format=:png);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Loading data:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "x_measured = zeros(0)\n", + "y_measured = zeros(0)\n", + "yerr_measured = zeros(0)\n", + "open(\"9063.dat\") do file\n", + " for l in eachline(file)\n", + " x, y, yerr = split(l, \"\\t\")\n", + " push!(x_measured, parse(Float64, convert(String, x)))\n", + " push!(y_measured, parse(Float64, convert(String, y)))\n", + " push!(yerr_measured, parse(Float64, convert(String, yerr)))\n", + " end\n", + "end\n", + "\n", + "a = minimum(x_measured)\n", + "b = maximum(x_measured)\n", + "x_plot = collect(range(a, stop=b, length=500));" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "plot(x_measured, y_measured, ribbon=yerr_measured, fillalpha=0.3,\n", + " label=\"\", title=\"y(x)\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Define kernel function:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "function kernel(x::Real, y::Real)\n", + " sig = 1.25\n", + " return 1 / sqrt(2 * pi*sig^2) * exp(-(x-y)^2 / (2 * sig^2))\n", + "end\n", + "\n", + "x_kernel = collect(range(-5, stop=5, length=300))\n", + "plot(x_kernel, [kernel(x_, 0) for x_ in x_kernel], label=\"\", title=\"Kernel function\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Let's use cubic spline basis $\\{T_i(z)\\}_{i=1}^N$ with $N=45$ basis functions" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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uXbuuvfbazFeODpEHH9NgBEGQGTDbNGbt2rXsH7lc7tZbb2U/kH7l6EDPjiAIMkPmTK8JenYEQZAZMmeUXeKBoLIjCILMgDmj7JjGIAiCzJC5o+yYxiAIgsyMuaPs6NkRBEFmxtxRdvTsCIIgM2POKLvEcyRE044gCPL6zBllR8+OIAgyQ+aOsmPOjiAIMjPmjrKjZ0cQBJkZc0fZObxSCUEQZEbMGWWXeExjEARBZsScUXZMYxAEQWbI3FF2rKAiCILMjLmj7OjZEQRBZsbcUXasoCIIgsyMOaPsWEFFEASZIXNG2TGNQRAEmSFzRtkFjgsomnYEQZDXZ84oOz5TCUEQZIbMGWXHNAZBEGSGzB1lx352BEGQmTF3lB09O4IgyMyYO8qOnh1BEGRmzBllxwoqgiDIDJkzyo5pDIIgyAxBZUcQBJlvzB1lx5wdQRBkZswdZUfPjiAIMjPmjLJjBRVBEGSGzBllFznOx/vGIAiCzIC5o+yYxiAIgsyMuaPsWEFFEASZGXNH2TFnRxAEmRlzRtklTGMQBEFmxpxRdkxjEARBZsjcUXb07AiCIDMDlR1BEGS+MXeUncMKKoIgyIyYM8ou8ZizIwiCzIg5o+yYxiAIgsyQuaPs2BuDIAgyM+aOsqNnRxAEmRlzRtklniMhmnYEQZDXZ84oO6YxCIIgM2TuKDumMQiCzF+ChkvdoF9zmzPKjk/eQBBkHlP+0UvW5sl+zW3OKDumMQiCzGeCfgrc3FF2HoIQUNsRBJmX0IBC/x4bN2eUHTBqRxBkHhP2U91Q2REEQY4/NKB9DCXmkrJLHBCMYxAEmZcszJwdsD0GQZD5C8U0BkEQZJ5BA9q/AuqcUna8wQCCIPOWBZvGoGdHEGS+QoMQ+ldCnUvKjjk7giDzFuyNQRAEmWfQvkbNc0nZMY1BEGS+Qvt6kf1cUnZMYxAEmbdgBRVBEGSeQQOKFVQEQZD5xYJNY0SsoCIIMk9ZuBVUCdMYBEHmKXTB5uyYxiAIMj+hAOFC7WcXec7HuwsgCDLv6G8UA3NL2dGzIwgyPwlCAOjjLcHmkrKLHCo7giDzkP6G7DC3lF3i8SHXCILMRzCNQRAEmWfQIATo44VKc0rZ8RpUBEHmJQs9jUHPjiDIPKSj7Au1goo5O4Ig84/+PgQV5payo2dHEGR+0vbsCzNnR2VHEGReQheysmMFFUGQeUmnN6Z/zCll5zi/f9doIQiC/LGAvTEIgiDzDLxvzPFeCARBkL7TuVJpYXY9Ys6OIMh8pF1B7aNvn0vKjp4dQZB5yYK+BhWvVEIQZH6ykO8bg54dQZB5SaeCujBzdlR2BEHmJws6jcEKKoIg85EFfaUSenYEQeYlWEE93guBIAjSdxbyfWMkniP9vlILQRDkuLOgr0EVMY1BEGRessBzdqygIggy/+jexRe7HhEEQeYLCzuNwQoqgiDzkn5fgyoe3WTNZvOrX/3qSy+9dNZZZ332s5/N5/Pt1y+++OLEJ1etWrV169b235deeunNN9981Msq8eAFRz01giDIHyl9vyPYUSr7fffdNzY29sUvfvE73/nOT37yk5tuuqn9+i9+8Qv2M4SQxx577Mc//rFhGAAgCMJsllXi0bMjCDIf+SPpZ1+/fv0VV1why/IVV1zx1FNPRa9rXcbHx7ds2XLFFVf4vv/FL37x6quvvu2220zTnM2yYs6OIMi8hPb7/uxH6dmnpqbGxsYAYGxsrFKpJN4lhHzjG9/4+7//+1qtdtppp3384x8fHR399re/fdddd/3jP/5jem6PPPLICy+8wL5y7rnnfu5znyOEBEEvf7FavEO0SqVxdMuMpHEcx3XdMMQD5jHEdV3btik+6PFY4rquZVnHeymOHtu0gecsywpScpqmUCiI4utI91EqO6WU47j2H2ld+NnPfnb66aevWLECAL7+9a+3X/zoRz/60Y9+NHNuf/Inf7J69Wr2lcHBQV3XCSHtGKdNgUIAPPsKMkt4nhcEAYf0mCIIAsdxOMjHlLbSzd1B9nmBCLwsyzNZhZnE2kep7ENDQxMTE8uWLSuXy8PDw+xbQRA88sgjt99+OwC8+uqrnuedeeaZACBJkiRJmXNbunTpu9/97sSLlmXxPK8oSvSK4VNCA/YVZJa0j8o4pMeUtvvBQT7W+L4/dweZpzwncqIg9msVjjJnv+CCC9asWUMpXbNmzYUXXggAGzdubL/1wgsvjIyMLF26FAAcx/nSl760e/duQsgPf/jDP/3TP53Nssp4dwEEQeYjNAg5sZ896Ec5r+uvv37Hjh3XXHPNrl27rr32WgD4zGc+037riSeeeOtb39r++6yzzrr++utvueWWD37wg81mc7o0ZoZgBRVBkPlJQEHgjn8/ey6Xu/XWW9lX1q5d2/7j85//fPQix3GXX3755ZdfftTLx4LKjiDIvIQGISf8EXj24wIqO4Ig8xIaUE7k+3itEio7giDI8SYIub6mMXNJ2XkOAABrqAiCzDNoQOGPoYJ6vEDbjiDI/IMGlBP4PrpWVHYEQZDjTSeNWZA5O6CyIwgyH+lWUPsGKjuCIMhxhgZhf/vZ55yycx6WUBEEmWcEdOH2swOA3EfPTsGe9Po0LwRBFhZhAK1a354E9Mdyd4HjRR/TGGvc2fXIeH/mhSDIAuPVjfaOl9x+zY0GlBOxgtoPaq+aU5sb5gGnP7NDEGTBEAaw8SnrwI7+nfQHISzkNKafyv5KK3+CNv7fr3+fewRBEJZ9r7mKxk3sI0GfHuBJ/YWds/dL2WlAGzusJf9j2C5j1I4gyJHRrARjy6XBUXFiL+nLDGkQciLXl1m1WaDK7taIaAi5Zapb7c8PgyDIwqFZC3MlYWixWJ3oUxG1fXeBBdz12CdlrxJlQFJKklslfRxNBEEWAq16kCsJRkEwG/1RdhrQhXtHMOirZ1eKEi/zgsIT0+/DHBEEWTC0akGuKBhF3mz0qe63kO/PDn1VdrkkAYBSktwKBjIIghwBrXqYK/JGQWjV++HZKVBKQeDowrw/OwBIfXoUqlsjyoAEAMqg5GDUjiDIjPE9GhCq6nyuT56dhpTjOQ6wgjprvBpRil3PXsP2GARBZorZCI0iDxzoecFuhXT2itRuZuf6+EilOajsXr9y9gEJAKSc6Ft9u0QYQZB5j2OFqs4DAC+AonG2OVtJon7ICf007DDnlL1f943xGr5cEAFA0gXfRGVHEGSmuE6oaB3l7Et7TOcWvgvcs/dB2Sn4diAZIgCIukDQsyMIMmNciypax2IrOudas9bjgELHsy/cCmoflN23AlHl2+UKURcwjUEQZOa4dieNAQBV5x171mlMv1seYWEqOzF90RDbf6OyIwhyRLg2ldWuZ9d415q9slNO4IDDK5VmB7ECyRDaf6OyIwhyRLh2L2dXdc7pQxrT5xs9wsJUdt8MRL2j7JIhEguvQUUQZKa4NmXTGLcPaQxd6L0x/UpjpFwnjREUPiSUBv28dwx1+t8gH4a+H/TtNv8R3jE4qPmB18dL6SJI2P9Tq9m0ItPpH5Jw9CsfHJOH/FLS/6Fz/P5vjQDQ8vu/RTb9Pu+Prh32Kqga7/QhjQm5Bd/P3odrUIkZSF3PDu1Axk5u+pSGYXC4a1O3NJrTveU8/Pvppzvcwo875m6rkfnWRHnTnn1PHWbaw7D/tWm37HUvHKVT8PY0/Ck7862dky/unHjx6Ga79pWXpnvrey//4ejm+cr2V1pmK/Ot3x/Ysqd+8Ohmu2vDtMvzs61HOU9r/Y7QzP6x9ux80rLKRzFPGtLar1+e7t2f7zpKVfr5K4/afvZTa+qvmeFR3bW85fvf2r5junf91w7/BLRpv/Hr255zp7EFler2w++SbpbaOFYsjelrb0zfmHPK3qc0xugpu6QLJNXSbjX2PvPox6YT91eareueeS577iF1/3NTOFHPfHPX2n9p7p1WEf5u42+fmcrefPcdeGb7jscz39recj/34n5nGrtXGfefeSJb18IQ/nMj1M3sTcr7z/8KduyZblGrv3jV25N9ENoxsXHDa49lT9Wo/PeL6007e3m2HDrw4KbswSFhcOdLvys7Vua74y9bE6/a03no555/bvxQ9qhuK+98/NX1mW9Ztrdp6/5Dk9nrOLlj194XN2e+5QXh/7NhV93N3nIOTpSf2/jSdEpgrd9BdkxlvnXo4AtbNv5H5lsk8J/a/fKG/a9lz/OlA62N+zLfMn342PqgPs1xP6hP1R/+/6ZZUli367dbytsy36puaR54ctqD0N5tD+7Z+rPMt345fujx8UOZb1HbM7+1hjrZo0rM8msPfGq6b7xv77ZnprKPtZu2/njT1uxRBYA7t0/cvWMy/bprs12PffHsUQUVux5ngW/5Urc3BqYpojamXjm444lNT/1z5hxueu4PL9brVpBhBPxdE9T2vOd3Zk7Y2L1hyw8/7NYPpN/6zeTeH+95eWM9Y0sCgH0Hfrd915owzDhX3dKwv75t/P94fm/mhM+ubdUn/YBkbDG7J0LHg+d3Zm8D5Klnzf/7/w3LGc+ccnfXrU0T7nTKfuiFP+x6IggzdsJ9h/b+bN1//OK3P8+c8CcvPLu7WvaCjHXcXJkwffLAri2ZE25ZU/3ve8adesaEk+XJPXv3HBzP3rG3Tu58YvvTbtbZ+o7d5X9/4Ln1z2TL5a7fP98YPxRkRQfbpsyW59//cvax5L6HHn/gsf9sNDOObf54g7xW9nZka+LkoZc2b/yR52ZM+NSel//PdT/6z52bMidsPrvD3VPJDGQ2TtGyA3e8lL1Hlb/9+eavfho0MjaAPY1926s7N01m/xyt/c6+deW0WwKA/dsf2/DLT04deDZzwvv3Hfhdpepk7VbBvqlwquk8tCFzwq0//lj9tScDO2NRX25WtjWrv57M3jvKU1uffPr/apkZP9bj442/fX7vS/WM85J4BRW7HvuBxEGWRh0ZhKmgAoCoZaQxjaltA2NvqR7amJ7cCoI/VGtnFQtbGhnS5m/dLyweIH/IVHbqTO3UR05xKrvS7z12cOf5g4s31jKUndLgwKHfG9rIvgO/S7+7teG8bcDY1szYBH2PHtpDisNiZSJDg17ZHy4epBt3Cum3gNJwvCysWBZOZFhIc8NB5cSityfjvITScNfk5pI++vKBZ9LvTlQPLR9bMVXPEC+beC/s37O0OLBzKuPd56cOriqNPLQrK1WgYFZIcanSmso4lry09aVFY4sOHspQdgr01aldY7mh3x/IiIDKldayxaWpqpl+y/e8yR279MGBxvhExjeWm6uGc7/cnvU7AlRq9aWLRqcqtfS79tM7pRMGyPZsZS9Pbi2WTty35+n0W/saU6cPL91Tz/ilqOebLx2UhgxnT4bqPT9Fzx/h7nstS5go9afG5WWn+BMZfv/Xu//rpNKKFyeyld3cb2tjcn17xkGoWXl1YOycZiXjeOmG4ZrxQyfo2rOVavrdYE9ZPHmMbNyV9YXUntxujK1ys3arXxx47fT84K8nspV9svLy0OCpBw89n37r91XzvEFjayO5W9EQfEIlOcrZ+5bG9DVmn3PK3q8rlRhlF1Q+cJLK3qy8suik/201MjaI3aa1XNfOKRZfrGUp+7YD6uVvC3ZknFS6tQOiVtQXrXKqWbO1GlcuPTlT2SentuaMxSet+N8T5QwN2tZ03rO4sKOVUdFq1YNckR9ZKk6NZyj7q/vp/zobDlYz0piwUucMjT9hcaay+xXHeNtid3fG6h+s7TDU0qql7xivZRzbJqsTq046o5y1jhOt5mguf8bY0lfLGUP3h/KB6045Z2czY5+3G76sCcXFsjmVsY61eu3NZ7w507MfaExokvqWRacfaGYsz1TFPO1NY+VKhjzZ9YZWyA+feEJ1f8a51+aJ5mWnjO3POtA2Gk1NVRePjZSzlN0fb+oXvYnsnEqfkjcbBwRBXrz03FYz4xv3NSrvWH7qnqxRJVMtsaTrZy5xXss4CP2hTD+wkt9jZuhJUC/zel5a/qZMZUujtysAACAASURBVN9R2/W+0y57eerVgCZ3HLdGgOMKJ+qZTyuz6nvHTvxfzer29FvbW62lmnblksVPlTM2uWBPWXrryeFURnHLaxwStYI2doZXzdjknq2Mf/b0856rHvJSUbtpTQCli8fObbQy1nGX6f3F4uJLjWQxiXhUknu3ZRREjuOBeLPSZOpjBZUHb9Z1ft8KRI1RdkUI3OThojH1yuiKd3pONUj1AOy2rBW6/uZiYVM9Q9rCckNYMQKiQM3khHb5NW34ZLW0zK1lbEm7zeY7R5aZASm7yY2pVt89NPCmnLHItDJUb2vDeddYoeIFVipqb9VDoygMLpIqWcp+qBqetIgTeLDc5AYVHpzgF43wI0N0MlPZbWVlCSgN6sl1PFTftXTw1KI+WrcypGSyeuhNJ5zmuLZHkgFI2WwO5/KnjIy9Vs6YcFt96m0jS0Seb3jJb2yViTEk5oYkM8uzN5vNRWOLBEFoNJM/1o7q/jcNnjBsDJStDJ0tV1orVww7ru+m+oecRlPN50qLFzUOZSzqKxXzrYuLIs813OSEU9X68GBpeLBUzrKlYc0Slw1wqhhUkuWEqcmXh0fPMHKLWs2M3GBfo/KWRSscn7S85OHEr9liSVOWDXjjGdvq81P0fyziRA6qKVfgl8fFocXi6DKSpexle+rE4gk5OVe2kpuHecDJLVOVAdmtZfwcrfru4aXnB77jOckTvn2WvUzXTi/kX2tlnCcFe8riqYuB49K7lVPbp5SWqcMrMz37frt1en5wSFbHU0Wa8tTWkaFV+dzSZnN/esKdpvuOIYNSmIz/jp4bSkrMDMkKR5zZKXtA+/sQVJhzyi4L/fDsTlzZVd53EjOlzcr2wtBpWm6p1Uxu2Xsse4Whn1ksvNzMcBBhzeRLOj9ghLXkBtpWdqW0zKllePa9dnOFXjg1N7C9lRQa05ow9NGcMZYZCG5rOqsK6gm6vCvVVmHWg1xRKA4JzWrG8bBmQlGnBZ3WUsY0PDjBLx7lR4em8ey2OKiJI3q6PaZhl4vacEkfrWYp+0RlYmxwbKAwlA5kJlqNkVxhNFeYNDM0aMI2x7TcIi130E6OeWuS5EYkY0jM9OyNZiOfzxfyhVYruZIVqzZsDAzrA2UrQ2fLFXN4MDdU0iupQMZuNLRCQc3nndQ8AeCQ6S4ylDFDOZTSoKlqbWigrewZx5KgYgkDGl/SwlS222oezBeW5PLZyr6/MbWsMLSsOLS3kfyx/KollnShoAUp7wkAu1r0TQVueY7bm7Lt/tQBYXixNLrMP5SxrU5aUyP60JBWmrKTK+JMedqI0nkOZQqzvtsorsgPvKlZfTXx1gHHWaKqi1R13Mk43QkO1YXFA/xIIW3b3do+tbRcHVrpVXelJzxgt5ZoxmI1d9BJ/ljV+s7BgTcV88saWcq+y/RONJQziuqW+NARl8pKTDZllXeTAnKEhCHwPPTVtM8xZe9PGmMHgtZbcUHhE57dc+q8IElyXi8utxpJZd9lmit0fZGqTLhpqxOA53O6ypeMMKUIbn2/UlqmDCx3q8l5emFQ8ZzFqjGm6hNu0lxY1qSuj+SMRS0z6dmrXgAAQ7K4MqekA5lWPTSKvGbw6RuN+gG4hGoKlAyotlKefbLMjw3zo0NhyrPTgIYtIhYVIS8HzeSxpGFPFbShkj5SN5PKbrt2EAY5PT9cGkkHMpOt5oiRH9D0mp06/w0D2ydFWV2k58et5P5pTvm5ISk3LKVzdkqpZVs5I2fohmklf46q0xhQCyN6qWwmld3zfNcl+bw6PJRLBzJ2o6kV8krOcFPukoTU8cO8Io4acpay1wcHisODAxmendKw4QglLVOFbbui6UNGbpHZSiq7F/g1xxo1CicUh/elona/ZoklXSyofiov9kIwCZQUWG7AntQRKiiPi0OLxJGlfjmZ/4SUVuzaoDYwqA5UnOSKkKYv5cVMZQ9D4piHtPySXOlEs55su9pvO0s0dbGqHkwrexBSl3CGyg/mspR9r1JaphSXkWYyc6MAhxxrkWosUvWDdvLHsqyyoY/m80vTaUxA6X6bnKDLJ+jyPiu2IsSlSc+ucl7qrPeIoP6C9+x9UHYKoUdFhamgqkIiZ3ftKUUbAgCjsCy9Ce627BW6PqIoE05y1w1rJlfUgQOuZNCUZydWVdIH1SzPvsdqLlENnuNGlQxlN+1JQxsxsjz7pEtGFQkAVhryzpSUtOpBriioBu+klL1u0aLOcQAFndZSyk4bJlfI8SND6d6YoOYIRQV4TsgrQSP5jW1lL+qjtZRnb5qNglEAgKHiULWenO1kqzmSy5c0vZraA8uONaTqHMBiPZdWdqcZqAVBK4l2LenZm62mrus8z2cru90Y0ArDxsBkyrPXm06xoHEAxbxWTyXmTrOlFvKKYbhmcp4V2xtQJQ5gUU45lDqFqjWaA4V8IW80W8mfOKg7nKGAwPNFNe3ZbWtK0wYzPft4qzaWK/IcP6jlKql2Ur9midMcLSZsOqJxHMAJmZ69ckgcWsznS2Ez6crrbj0nGxIvDmoDFTul7C1fyonKgJROY+zmAS23iOclWR/y7ORB6IBtL9HURaoynt6tGjafV4EDfjgflpPK3k5jRH0gTCU8k65VkGSFFxZrxkEnpex2WdOGCllpzH6bDMuiwnMjiphKY3rl0zb9SGMWfM4uz/rJG74bCDLPPpcqw7PbFVkbBAA9v8xuJT3LHstaYegjijKZ8uxh3eKLBgBkpjHEqkjGoGQMBW6LxvsX91iNE/QCAIyq+kQqEDTNCcMYzeljpjWR+PEnXX9EEQFgsSYdcpLSZnY8O+dYyctCGyYtGBwAFHWa9uy02eLyOc7QqeuBHzvs+RVbHFQBQChkePamXc5rQ0V9pOlUaPwKT9NuGVoOAHJ6zkydGk+azREjX9T0um0nlmbSsUZUHQAy0xjXDBRDkFQ+IDSMX0vcbDYLuQIA6LpuWclRrTnNkpof1Ip1pxXEF9WyXENXAEDXZctKrqPdaKj5vGLonmUnrkSt2GRQkwAgM40xLdvQNVVRiO8H8d6+sGoJAxoA8AU1TPlr25rS9CFNH/LcZhDElqfmmANqDgBKql5LbTl+zRIHDCGvBqabKMxO2DCmAQAsN7i9qQ0gaFaFwgCvGpS4NN6HOmlNDWuDAJDt2VuBnBelnBi4YRjfVx1zQjXGAEDRhtwMZXeWatqoolQ8z48vKm1YXEEHAH4wn/bspFWWC2OCkqO+S+MXoBywzSVaDgAWq7nxtLI7FV0dVNWBMPQ9L7ZB7rfJcl0CgBFFmnSTnl1OenbeSxXqjgw/hAV+f3aZ57zZXYMa2CEbxUBWb4xrlRV9GABkdcBzkp7lkOMuUhWF51VBqJPYr05rFlfSAYAv6Wll980pSR8C4ES16Nsxf3HIsZZoBgCMKNpkqoJq2hOGNioIsizl7Pi+FCn7kCxOpWp9ViswCgIvcKIEiRPGuglFAwCgmJXG0JbJ5QwA4HSdxjUxqLlCqa3smZ69UtCGBF7U5Fwzvqgtu5XTcgCgq4aZMuYVszWcy4s8r0lSy41J26RtjmgGAIxpuUMpz+6ZgWwIACDrvBe/ZqTZaubzeQA4TBrDc3xJzVes2M9h2p6uyQBg6IppJ5XdaTS1Qp7jeVGWiR1b1MMru2XZuq4BgK6pVtyZBlVLGNQBQCiqQYZnr2j6IMfxujFimbEgq+7YJVUHgJJq1FLi1a6gcjzHa3IQD+smHRhRAQCWGbAvVbMMrQavFwCANwphvPJRtqdG9CEAGNRKlVTO7rV8yRCAA7kges2423WqsjoAAIo25KV6z/fbzhJV5TluSJYTnilsOnxeAwB+0AjryaMXsaqSNgDA8WqBxJfngN1aouYAYJGqpz27bZc1bRgAdH3EcmJHmrLrDysiAKQ9O0lXUFXOm30FFa9BnWUa49uBqMY6uAVFSFRQozRG1ga8lCupeN6QLAPAqKJMurHdPqyZfFEHAK5k0FTOTqyKqA8AgKiX/PgmWPbsIVkDgOw0xpzQ9REAMIyxRNQebYKZyu5YVNU4AFAN3m7F1rGdxgBAMSuNCZsmnzcAgMvpNB4dBC1PyMsAkJmzN51KXh0EgJI+WrdiGmTapqEZAGBoubSy1xy7pGoAUNL0mh37xinXGlJ0AFik5w6lJvSsUNZ5aF9LHL/izLRMwzAAwDAMM5Wc1OxmScsDwKBerMYPtKblGboMALomW1ZSoF3TVPM5AFByyUBmyvaGNBkAhjSpaifjCNN2DE0FAEPXLCt2/A7rDl/UAIAvamE9lbNbZU0fBgBNH3TiAUjdtQqKDgBFRa+nthy/botFDQDEgurHA5lxmy7SOAAYVrlKujnKbPJGHrKUfcquDh3Gszd9KS8CgGQkn1bm2VVZ6yi7m2qqOeDYSzQVANJFVFq3uKIGAJyuUjPV/2NXRb0EAKI24JuxA8YBp9U2TIvVXEbObk/p2hAAqErJia9IxfOH5GmU3aNSooKqzF7ZF/yVSrIw267HwAkENeXZ4ydTrjWl6EMAIKslL74jhZQ2fL8otc/U5EQRNWx005hShrnwrZqkDwCApCWVveI5g7IKWcpOaeC6dV0bBABDG7bsWFdJz7MrYiWh7BSIG8oqDwDpImrdpEWDA4CcSlupvomeZ88bCWUPTcIbEgDweTmMKzsF2rQr+faiKkXTTRjhThpjaIYVN1AUwPLcnKJClrJPdD17SdZqXnJZPSuQdQEAFD15p2zHcVRFhWnTmEZJLQBAXjaaXuxdy/Z0ve3ZZTOVxhDbkVQV2sreSig7GdIkACgqUj3V9WjZtq51PLuZUPaWy+cUmDaNqWj6IADISsGNp8l1xyx2PHtGGhOaLp9rn2BpQXy2EzaMagAAgwpUUq0AodngjQIA8LlSGG/Wqjn1AbUEAEPawNQ0OTtkPa3Mc6qKOggAsjbopjx72fVGFQUAFqnKwfiZUNi0+YIOAFxOoak2Ad+qidoAAPBqkVix2U441phqAMBizUinMbY9pWvDAKCqJceNreOU5w9N49m9jDSGm2Uag569L549ZFseAUBUUmlM5NnVwYRnrxM/L4oCxwHAqJosotK63TEXhkrjXi9wW5yocIIEAKJWIvGqXdVzB2QFAEbVZBpjO1VVLXGcAACKUnTd+Kkx69nd+I7kUknmOB4AIF1EbZi0oHMAoCtgxi0bdVxOEEASoePZY7tEYBFBlyArjTGduiYbAi8BgK4ULS+2qJZt6poBnTQmFqpYnquKEs9xADCgGYkiatmxhtviJav1eD974FHgQJA4AJB1wYtLieM6qtr2yMk0puVZsiDJggQAOVlvJZTd8oxOGiNb8TTG9zxekjieB4B0EbVie4OaDAB5RWzED7TE94GCJIkAoGuaFW8BCi2PN2RoK3s8jSGeyfGCKKoAoKrJDaDu2kVFA4CiatTj4hU6hJMEjuego+yxb5yw6ajGQZayU58ADTlZBQA+VwhbsW9seWZONgAgXUENSUhDEBQeAEQ9+ex412E8ezxnb/m+zPMSzwPAIlU9FDdMtGlz+e5uFffsNPRpQARZh7ZnT+xWxG0bpjFFPxQ3TEHgBYEnyznoePbY8bLiBoPTefZUBVVS+Fl69m7OvoDvG9OHCqoTCHFlF1QhcBIV1GnTmIrnDcpS++/RVBGVmg5nqADA6XLikop2+bT9tzi9Zx9RkhVU26mq6kD7b1UpunEjPBkpuyIk0hj27hZpz95yIK8DAGhy8gSXNk0ub7T/5owsz95W9lQaY7l1Qym1/9blgh3XoChnz6XSmKbrtA07TJvGaABQkJXElUquFSjdy4llg/fMlGefRtnrTrOo5tt/55Wkskc5u64lPXtk2AFAMfSksjtkUJUAoCCLzXjlLQrZAcDQVdOKK5RFOF0GAKGgBvFuHNuuaFpny8ny7FZJNSDLs4c24XW5/beYVxI5+4QDoyoAwICSTGNCs8HrncERjEIQT2MaXrMg5wCgqBQaXqye6TV9OT/t08o8uyJ3PXuiN6bqkUG5s6hDilzx4ueCDZvLqwDAG2oY31h9qypqxfbfvFpKePaq5wxICgAMyGotvuXYzpSmDbX/VpUszy4LADCiSOW0ssc9u9KHnD3kFvjdBWav7IEdiq+bxvQ8+0Aijal4XrQJjijJlnZqeZyuQJZnJ1ZF0joCLWqlRAW16jkDHWXXpuKbies2FLnQ/ltRik5c2cueP6JI0PHsCWXvPdNL1ZOe3XKprnAAoMk0cQ0qbZlcPtf+m8/pYdyzh1ZX2XNSaBLWZVheQ+8uqq7krfhuH6UxumaYcXdpum6k7AVVq8f9bN1zi7IKACVZrcUvs4zKpwAgGynP7jiaqgGAqqqu67J9LA3XzCudo1deNppubHksy9Wj3hg7duW4Z9uy1llUSVUTFdSaQ0pqO40RE9egWt2QHQAMTTMTnt10256dUyXq+sC0CTh2VdU6x0tVLbpOwrNbURrTdG22BSowXaGr7LwqB/Hcv+zQYZUDgAEZ6l5MU6IoBtppjBnb5JqemZNzAKCJqhd47A0G/FYg5pinldnJNKbt2WW1RLwmZSasEm+ga5iKklQnsaELmzbf8ewKtWLLSuxau3YFnVPhhLK77d0qJ0pO6PtMB5RlT2lq53h5mDSmJAstP2B7dYiXVHZp9mmMTzlxYefsfUhj4hegQtT1yGwurj0l68MAIEo6pX7I9JlVCRmIzIUsl+MVVGq5nKEAACcJQCl7gz3frIiRZ09VUCPPLnK8Joh10jsquF5DUbrKLhdcL+HZybAsAoAm8BTAZm4wwHp2RePcuK2wXNAVAABRAA6A3ZVos9UO2QGAyxmJNCY0CZ+TAAA4jlOE0O5NaXlNTe54PV0uWHHPbtpmW9lFQRQ4nr3BQMO1C10jbMiyGbdXDc8tSAoAiDwv8bzNNOF5ZigbnXVM98ZEOTsAKLLiModh07MNqeOgcxmenbQrqALPiyLvMRpNbEdilT0exzU9PycLACDwnCzwFrMBmIxn1zXVSkTJrU4aAxzwmhQyKuy6Dbm7AchKIZnGOFZB0QCA53hNktm2otDyIs/O61IYj5UqLgy0NwAeVAGajOzHlF3PJyqoTa+VVzoHfl3STdIbOsLct0PUeD/+tDLP7vTGcBwvyQX2BgNVjwxIHWUvSVLNi7ectRwupwIA8BynSNTujblv18TuYU/QSqk0xmmHnABQlJQ6s8nZTlXrnQqXnHgL3JTrt9MYDmAw7pmy7i4w6zSm/bS8Bd312J8KakzZOZ7jRS5gjhieU4v2JUkpsYFM2XWHuspelKRk16PlRvtSwrb7di06bZS0AT9+KjDV7Y0BgKIkx5Sd8exqKmefcoOh7lVXifYYVtklhffiiZPlUK27geoqx9p22rK4nN5Zi3RvjNnJ2aGjF71vtL2mpnSUXZMLiZzd7KYx0LbtTNTect2c3JHLnKImlZ04hWj/lNU6Y9s9No3RBS/ejGE7tholJ4riMrNtESvXHfCcrGd4dq3zOxq6YjK/I3EcWetMKKkKcRPKHuTlThyRiNpZz66ne2O6OTsAcJpEGRX23FY7DoaOZ89OY6DT+Nj7sQLLE4zOuPGaHMZjpboHxc4XwqDKVZkNILSaURrD54phK/aNLa+V7y5PTjJaXm/oAqfXeCbpYqqCWpPVzi6QCGSqHinJjLIndivTaZ8KQ9u2m+xuVY92KyFVQa16zoDUTfkkhT3hc92eYVKVYsKzV0kwKHdWZFAW2EAmfXcBZfbXoOL92fvh2cNEbwx0Wtp78yVuQ1K6m2C8pb3ikShnL8lJZQ9Nl9M7W1JyE3QaYndLErUisbI9O3TMBevZ6z3Pnkpjqp5fkjpSMqQIFaaIyj4fIH0BdOTZAcBQgE0vqWlxRke8sj270VV2TUwou97d59NpjOVY7WwEAAwt1tLedJ389J696Xl5KVJ2peayyh5K+vSevVtBBQBFURxmQtOzDblz9MqnK6jdnB0ADC1WRPWcXs4uKQqJ9+e1PD9S9kQgYzmOFil7yrNT0+N6/loOmSvaPa+ldI+Xspr07A2349kBoKBobOMj69kFXQ7inr3m0VKk7PEiamg2+Fw3vNZyoRX7HZuMsuflHKvsvhOKXTORztldp6J0o21JKRBmRWqEDEidpSnJUo0kToW9nrLnVNrqDZ1vVSPPzsu5IH7/+hpxS11PUJKUWvxUWO6eX6rqQELZo8YEAChIQsNnxSFdQe3TNah9ZY4pex+uVHJCUUmuNS+zUTv1PVOUOz5IiRdRo2Z2ACimzYXd2z85XWE9e+C2hG7JLpGzU4Aacac7bXTdhip3drNEBZUCtPwwL3VW5zCeXVaTG1+UswOArnJsewy1Ha4rXmnPHuXs0FH23gjYXotNY9gKKgXqeLbatcm6Gmt8bLpO5NkNOe3ZXdazNxjnRZxQ6h6nZY337GnTGFVRXWeaNEY2ml7s6GU7RFU7O7aqSjbzKB9i25Gyi9lpTFcRZIlVdtt2NDVaGMWOTxjz7LpMLdazN+SusqtKyrO7dqTshqSYzOAEltfL2bXY0QI6nr2zAQzIcWW3mnz37IrXjDBeFGGVPSfHPLtv99oT0spOulcqAYAk5whz4K96vZw9I42xPa57oOUNNWQME7GrUfmKl43AiR2Eqp4befYBWa0y25XnNZVI2adPYwCgKAl1JlXLyNkVjsyu+kf9cKHn7H2ooLrJNAbaz7nuztf3TEHS2l2GACDFW9qrXi9nL0oi69mpSziRh+6xl9Njnj1wW0L3aCGqRTaNaRJPFySR47uzTXj2ZmQuEp7d9ENV4ESus52VZIFtafccxrMrsdvReT7wHIjdYTAUYDs1qO1EZx6gqpRxl9QNOIGLtkJek0Ir5tlVKfLssTTGI54oiDzffRKNrDpMZ3rLdfJKR7sNWW6xe2AYhJSqQnc3izc+EuY4LSqxe3b6vg8Aoih2hy6WxpjENrqHmbyitxir65FAEHihu6iKLDrT5uyKz6QxJKRBSNXu4BQUkX1mnuN6qtLZclRFdpn2D+qHEIRcV0p4XQqt7DQm4dkdn4g8L/JCd+gUk9lyQiYbTOTsJAQvBL37YLFBJZ7G2C1e6xZaVJ2yCQ8NSEBUsfNj5WSjRZg0hrkMMKHsge8AcLzQWZ6EZ2fLV8k0JgipH3BKR/e5nML2cgV2Q9A6Z7SCnPPdnrIHlFoByUenApJSI0wa48VCTtazuyENAfTujlxKKbsoxZVd5sns0hjwKeAdwWaZxgRuKKQ8uyDzQVfZideUujsSAEhynt0EK4y5KIhSg6k8sueM0KnjM6eNblNUu5ugkgsYp8PWeaATCGZXUBOevU6CgtQ7ShVEoUGyK6iyyrEbn+1SXe1tSbrKmayjtx2IPLumAKPsgUkiawkAvJ707HrPs+ctZjdzXScy7ACgKprNZCNN18krkWdXLGb1655TZAanKCtszu67YXRBoKjyhGlRiBpj2qTSGDZnN9g0xnWJ2tURAFBVyWUEmjgO0xsTS2Oabi+KAYCCIjaZQ4LrekpXvBRFdpjaO7U8jhlVTkumMT3Prsa6HlueY0i9wdGl2OkO69kFTQ6Yo0Xdg6LUu3lSMo1xLE7tRFW8qoeMsrc805CM6METiZydjTqluLITtyF2tw0AEOV80rNLvZCTVXbqeJzaW1bOUGMhp9sSu+VcXomlMXXiFsReblKSY2mM55mS1Dl6qXHDVPP8AuOg85LQYFshSDKN4QXgeC44qod6d9YR7wjWjwpqRs7OpjHEbUhdJYXUJlgnpCBOswlabkzZdYUyd/sL3JbQbbMTFIPdBKueW2T2z8NUUBWl4DBGuE6CIqvsktBg7t7lOr2L5RIXQFsuaD0lAUMFtkWT9eycplKHbbcgvN4Tr7Rnj9KYRAXV9uwoGAEAVVZdRmdbrmMwyt5ijDAbskPbs5OYskc9rFL8PvtsyA5tz87MtuVZUc6eU3T2GlTHJarSW0c17tk9pp890RvTYqIYACjEK6iOF/fsjLKHZi8QBwBeT1RQm3JXvGQl1vVoEdeQe+uYkxX24Rvx3hiZ9ex1jxYZeRqIKzt1LL6r7JxqhGxFhGmMgc5BsbclsxVUIf4QSt9rSYyyS0qe9dc1Eq+geuxuFTdMmhwLOb0W3z0V5mUjiM3TLTGDkzRMbl2Namly3mPcW8MPWcMUS2Mo+CTp2QFAUmZVRMVrUEHiYRaHRoDpPDuTxhC3Ick9ZZeUnM+4kqbvF6QogItVUKnlcsz+mfDsgdMUus5LiJuLBnELYm/CVBrDdj3mPa8ZHdkbaWVnTxudXiCYuB0dG7IDgK7EPDu13V7OrqnU7t0mMLR9XmWVPenZ1aiLQzY83w67HcROwrMn0hjPNbp+1pAVi3n4WJN0Wh47g5NKY6TuyYco877X6151XEdhzL6qqKyyW8TRuwmsJiokIH73aWqO6yuMZ1cUyYl79l7OrsTSmBYJcnLv58jLsQqq47hKV9kVWfY8L+qvZyUYALh4BdV1e3GcKCohDcLuHQ1Nz2U9uyGrbBoTmEzOrkjUC6LfseZBqTcd5CWuyTxfOGSUnVc0SlwIO79j02vlu0oKAIZktJiuR9/uPYeSFzlKgXbvvkm8lqTET4Vjnr3X9ZgTRScMoxZyarkcY0M4NXbYC1jPLmmh79Lu7xhdptQmHXJGObsgyAAQ3USzGT8VZpU98CkvcFxKNSWZm1Ug0+567CtzTNk5AIGbVSATuIGgpHL2eBojKsxpo5TzCavCfj6KbnmeA4getZ7h2ZnzX99tRhVUjhc5XgpJR9qavhelgZBRQe1tghwnSKLmdl1SIo3Ji3xzmlJP+4TR7+69NtMYAwC6Eu96tO1ezs7znCjQrocKHZ9T456d7Y0hLa2r7Bxwiqg73aFz3JhnV2SVTb1t4undnVDgeYkXnO4hs+71Wh4BwBClJjOh79AoZ+d4EETe7/6OnuvJcm9Uk57dtXKMQqmikqeYFwAAIABJREFUYndPBVzXj3l2RWQfmOe7ntgVaI7jBFmOGh8TaYwuCSbzc7iMZ+c4TpIkrzuq1CKc1juW8JpE2TTGbSrMSaQk6V432jaJY7CDE6+ghrbHq93ZcsApYuhEowrF3hdCXoIG041CHYvrnl8Cx/GyGnYPw+00JvpkooKaOCFmn1bme002jZHkAkl6dnYX6FWwqJ3y7E7iVDg6YHCCbATdvSO6TKlNVm9Mb1TljmcCAGiQIC/GlD0yTIRQKWXYoVNEnYVnb1dQF3LXI8w6as/07Dyj7L7bjKcxsSJ+wycFqbdPsNfLUcvjtPgmGK+gikx8z0btDeIdzrMzp40AIEm5aBPMSmOYMimTQUM8kDHjObsqg8Pu2LbLab1dAnQtitqp4/NawrMzyu72rkEFAEXS3K6hczxHZXYzVVEdRoMsz9OYHdtQegrVIC6bs+ckueUzlUCmNwYARJXzu4coj8SVXU6mMTnmHEKXVNvvfKMTz9kVRWQ9u++6IjNbSVH8biDT9Py8ElN29kolx/UUpbciiiI73SIqdWLKzumx3nPP66UxACBJBulmR6bn6owtzcU9e+gQnpmtoPei9kQak5fiVyoxnh0AONWgdnQssQyp91Y+XkFN3EhVVISg24ZLvCa7/YtKzmd2q5pHCmJv6NhAhlpe3LPLlDlNDNyWkNitnMj3uAXGMGX0xjAGTpaM6HjZ8IOC1NuoCoxn9z0qylnKPjvPjs9UAphlewyFkFBBzkpj3GkrqGwg2GQ8O8QDGWq5iTpY3Fz0PDvEA5mUZ5fr05sLRc5FTwlokKAgTp/GuFRmtkJF5aKLlRKePaHsYNnAKDunKrQrXqHj88q0ys5egwoAimQ43b3F8RxNYeqZ8TTGIp7OHC8NWTG7qtfwXDZnz0myySRgxI3dK0JSeNJdR9dz2TQmWUFlemMAQJNUqzvmjusrMc8uuUyo4ns9zw7xImrTi3n2XMKzu57KHBJURXZ6o0p65jo7Z2c0SNaJF+lsLGc35LhndwivsKcCchSdJdKYghxTdspUUKHT+Ng5ltjE1qTeuKVy9tjDD9jLRHyvFd+tYr0xLd/PxZRdrvU8ezzkTOxWnsl49uRulRNZEybXpmk5AwA5tltNm7MTL1k+7azOLD07VlBhdp49cENe4iD108TSmETOLucIs+02fBLl7JBQdtvj1HggyPRB+0zODvEiapZnZ9IYryHLccvmd3bspGcX48oeb7yVVD4q8lgu1WTWs3MOs11SJ+bZOa3X+Bg6Ps+YMl6X2ETYYdIYAFBZZXdthUljNEVjddYmnsYc23KyEl0lzzazA0BOjHl234mdl4gq77vZaUz71jHRv+yVSgCgSSqTxhBVZjx7vILqu17MszNF1Jbn55mcXZcF04ulMYoSU3a359kTGVe8N8ZtybEco6dBGTk7Y0tD1+diyt5rpmQvQAWAvMQ1Yjm7GffsOu22tFu+rYm931GXdNOL5+zss+OZp5WRRBqj5A+zW+UlsUFYz87akGTOHlf2ng9r+l5B7E2YF+Wmz+5WvZAT2mkMiQ4JMcPEKntm+RQAZCXWl3XEBBQW+B3BAEAWOC84yhEI3CAdxQAALzMVVC/eG6Pk/e4mGFDqBKER8+xMIOgQdkfiFCkyF5QG1PcExiQKcs6f1rP30pgw9CkNRaG3gcqS4fVinHjXoyQ0u70xtF3EZ+SbTWMcDxiRAVViPDul1PU4lY2VYsrOTZPGhGHgh0RiFlWRdLdbS3A8R0tWULsJD4BDCKvshqxYXdUziWcwhz1DkluR86Lge1Rkjl4i49k94kkSK9A9zx7S0AuIGputakWLmvDs8a5HnxBW2UWmpb3lBYbEenbRJPGuR4VNh3qNj9QhHPONnNbzBJSGhFgScxCSZIMwOXuO9eyS0mIah6hDYuVuJmdnL0CFVBqT9Oxqz7NbxGbTGE1ULb977kWTUafAPGHYd5tSousx5tkD1rPnRKHpRyGnm8jZIansvdxfVPNRe0yTxHarnCg3STzjkuNpDHMqnJ/es0+bxszes/eVOajss0hjAjdMX6YEbc/e63psSfEKapSzN30/J8bysFjO7nixtFSTo/2zu/31Jo2fNpI8ozJs461HTJkpWEH7HIJM49klPupn9z0qShzHLCvb0u4Sqkoxz253LRt1XE6RgZ1SU6B7DybqBKk0prOOrm8pYm+fBwBV1N2eZ3cUOVZBdbq3oXcIkQWRZ75Rl+UoLzZ9kmNFX5Qtn3TXMRRErn3/8c7gsJ7di+XasiyT7jHYJq4mKey5myoqdvcb3UTXI5OzB4TwPM/xzFmCJPnd2VokMBjPrkm9O4L5fsAzVz8BgKoqjLL7sS1HFWn3kbaEWJKks90Ysmz00hjP1eNHxMizUxKAwLN6watS2D35aBLIMxtAQe5VUCnxgOM4JsfgVT1qfLRI3LOLWlSfCLyQl2I/R8yzk9513dC+UqnbFOuGIQ8gM4OTF6VWpOzMdd3Qztmjw15AaBjwzPIkdis2jclLUuTZfd/mebH9IIE2spz3SHRICPNMPztbQfW96Suos8rZsYI6yzTGySifQjyN8b1G/LQxF3n2RMgOiTTGIck0pmsuAid2zggAIrsJEo8t9RSY00ZCetdTtEmUeqbrekzfRVqSueiE0fFAZT07k7NT24mVTwE4tdfSHjqxrkdOEWm3ROYQS5Fiyq5IhtOroNqqwl6p1PPsNvF0xgUDgCrJUW+M6Xs6s3/mJLnVdV6+S0U1to5iPGdn0xhZkr3ueYDtOypzng4AutRTKMeLdz3KUpTG+J4nKrEJRVmOPLtJAp05i89JYpSzu14sZAcARZajdCiRs3OKGIkX8SwxPqqSzFRQE/3skhr1sydCdmh79u4hqkkgH++NiTw7dWOGHQA4zYguQ7V8W5fY+oRmdX/idG+CyPbGxD27JOdju5UU261int0hnBo3TNFu5SZ3K0FhPLvvsYYpL8qtridwvRYbxUAnZ2crqLHdKpbGHIsKKvazw+w8u5/VGAMAfKyfPbkJRp49kQYCQF4SI3MBDgE2jVFl2t2R/Hj5FBK9Mb7LboKGKEWbYNqzy1IuCgTrJF7EF3tXKnluKKee/BKdMB5G2cF2IKHsiZydTWNUIewqu+tbasKzSzHPHuuNYdIYy3PZKAYANFGySZTGkFgaI/aUncRDdgCQ2N4Yz5OZ2UqyFN032CZu1MzeRpcUq+fZ412PqhhVUNmWxzaiIvvdLg7LD3RGEXSpl7O7HlHihwT2YiVqx8SLNdeEWBKTYgGAxOQGqZy9d3eBMB7FdGbbPRVoEcgxyl5g+tkTjTEQvwzVIrYuMj1FrGdP9RMLCh/vjYnn7N00puknDVNelJrsqTCr7Ez5KlE+hXZ22r11TCuu7LmYYWpJUmxCWTJ6Ofv0/ezTpjGzq6BiPzvAbCuo2Tl7zLPHTxtFOebZ2ZZHAMiJPWWnTqw9C1QJuptg6JmCHBNo9rSxEffsOVFqxTbBuLLLvZy9GS/iFxJF/ITqMVGgQ6jCpjFSr4JKbSdWsIore6LWx+YGboZn1yPP7iY8u6y5ntN+TIRFiJ5Qdrnn2S2fGBLr2ZnBcZIPUYnl7Ik0JubZXS3u2TU2Z3fiXY+y6Hl++6qiRMsjAAiyHESzJTFlNyTBig60hKjxQ0K86zE+qopIXb9dTfOJld4ACIk8e6yfXZNkL/DbV4eFrs+eB3Rn2xnVFoEco6U5CVqkU76jjs0pcc+uGlEF1Y57dlVUHd8NKYUszy4oQqw3hu0gEDUaBmFIoJNGJnYrocV6diV+Kux1nvfix0N2iBumJiF5tuFKlJzAby+qRyw5vq3KEtMb4wdsGqPwHAVo34jQ92hcADr0p+txgffGzOYGA9Pn7FwUCPqeKTL7UmcTDAgANFLmwhAEM7pSKXHaKIs0CCEIoW0uEsou671NMG4uZF7ggHPDADqbYDxnF3sFtKYf5JjTf5nneAAnCCErjRGl3pVKbtyzSyJQCm0Voo7Llk8BABJdj8wAcjwHPEdJCAAusWQx5i5VyXD9qOvRVRkN4nleFMR28J2RxoiS3T1rafmxCqrECxxwXhhA+9YCSc8ey9lZz87zvCAI7duE2cRRpaSy93pjvFgFleM4SRI8L4BUyyO0c3avl7Ozyi7wnMhzrh9CqnwK/z97bxMry3aVCX77NyIyz8+99z2/9yhMUd1FQ6lwzxjQZt5qCcmeIWjkmQclBsgDxAQZMUEIiWnDrFUDJGSklmgPSrJoqdQCQVdJ1S2rRLuQgTYYsP183/05J+Nn77323j2IzDyZEWvlefYzKj/57dG9JzMyIyL3/uJb3/rW2kDbPOjsCzUGWilraiIcdPazazx1PZ5zdgXVWT+kyHwmoJuHUGCX6tXJo90otAZzn4gy9bo75+xNWw7J5yGNm5Pz0Up540MO4JH91Btz5noEYFxHcQBwn+h0GmMfCh+WVThbVlBK+T1tX5jZAWjfHYuq7ilencwcBWyM63MCK3L6qweR85wwAbiyej4fStWuPNP4Xrkev6fjQ4jsHzCDyqsx5oyzn//q1m8p9dhz9oUgeM7Zz5VN5fcsKcfB+LPVcoGzY0/bE+b1sObsh7BxR+XqvPnnsViJ6SJ9QiumiPNVj9arkCqAOgU0C87+0BSsTHkR46vGzHgRaGjPT/WUs8cU/DmYtr6bLe2MGuMe1Jghxe3i5jg3CzJ5FRqftnuM8cz1iJm2p4g9Z1+oMe2JGpMaf3aNzaEMdWF5xF6NOQpHZ8gOYOvMLhGAmFLjz+54409qUKekFnf1EAyl2Du/QPYryc8OoHMnyN6cqzGNfUB2OtPZcVKGWk4LUOeT8W09pLuHNHbnz++N68Y0Aiix6HPUM+3D3vGLGlQA1m0zDZjVmFUofH94tC9ETpwIMqetBfbf6Db5MOUWhAnAtdvbY9bPS39SALgoEwFwZU0/L6sIy3L2D5ZBPexw/YPN2T9gBnXdnB2A8eqhi28arF8g+75e7o7SgrOfI3s6U2NO7DEljtqdrQfTXJ9VKtk1skfMnN2vdfbDwqayXSN7yuC6SFtZjcGp8TFEdc4uVduecna1VG/3SdSQhsatOPvhVBd1QwC883ODgXGtxpxlUNP2fDFtre9TBEBx+WsafxKXpLBEdr8XZKYUugVntw+cPabsz5HdOxsTYebsKzWGTtWY85/jWIYaEzXnBzrn4kPundRCOTkiO4NBDzr7mOLy1lk/0Yzsy8/UrTu6Hhc6O4Brv5faaxh1c55oabp6IMKLDCpOjI+8GvMQCp/VYGMmTHEHXmeXOftJEjXHXi/UGL/N4ajGxJXI4+YHBpO+OuHs9+cZVOw5ewFAsfCVSu4DcvaPMqgfjLOvacU8Tl2POfVmGf/uk6h3j+jsacnZD/aYnAZOjdmTi7sUb86B5uqQx49p5+y5GuMe1JgdnTW4AHBl9UwuYnho9Hi4CkVCBhUnSdSFmR2Aanw98eet8nJ2zsuFNDQyZw8rzt74ZmbQw0qN6Zx/yKCee2Mwl6FSxKzGLDj7Sb5kzdmdczOyD2lacfbmVI3x5wvb+1M15twb49xRZx8ob85Duu2hDDUl8u474Oy6cbOPJcXB+YXtdXPU2ccUWru8dXvOHpZqjDr3xiyQ/cbhLgFADaNqzrBbN2052HiGtEb2fRKVQfb23PW4CIXdhtJejVkTpiNnZ5bVoQw1h6XIqX1XDjdnR+n6/LF3fShz4yxnDzr7fVqGwld2XymSEtgMqvUfaPONA7J/L0n7hw/ZnVbpu91WKccL3pj9Z1LqrVuGePMUXNRAY/7Jj9UoK43jaI9Z6+zadSWeTMFz8DqZgivOfpJB3a04+9aamezwrsd45LO1PZ+grVfTzHangHPOjsbjyNnHJbKrxsycfUpDs9bZDw+hmELjlpw9pgBRjXng7Ffn4LW1fpcSAIrLRhHWn3ljllHCwdI+0Yqzu3agB87erDi7rMY0R84+pLJx5z+HszNnT0T+XI3xJ5y9TKtsp8zZT9WYkVbhzoGzV0aNcfVUZz9vVHI0PtY4LZBd+QfOPtKZNwbAxnVz8jmHsvg5zIk4ltPSvmndXuTc0dL1eG3tiTdmydmPZaiFJ0wnjfZWofBsj0k0uvOr8P7q6Gff0VmlEoDtgTDRatuNeZzSpu901FKVAtRHGdQPmEFl1Ri353q1UCnZ2AUv24t3HLLbfQY1l1qqOkeEoz2mxFGfe9eM386fOWdKvV7MJPfA2QXXY641ltqdJ162Rh8EQW63xlgB1IpEWJ7pkbPHlRrTNDVGADVX1KrOwUs3Zs/ZSfTG1FqJyC1Iq2vCrHqvJIX24HqswESpW6gxB86e45KzG6/nncrZbzzR2Zec/ZhBrQCl7Jac3cZ4UGMWGVTvHtQYyp1d6ewxA4gxLTi7P3L2ihpJNYLOvlZj/F6NqagTpfb85pzo7MunxWkNak8rzu7VXawASpi0XwRtDzr7mKbu3DDa2Xac1ZhVQGzbh45glAazECTdfgkwasyFDCqgDssqx2Ehcmq/LQ+856xSCXODgbRfVv6cvTn7EAn1uWzNgrMf1JjVthv7w71K6btF5Vlk/16PDyGyf5AMalzSinkoo6BQc6UVs8CeXAwA+nMvCk7UmBqWMSNO1ZhVBvXI2dc6MvY1eHMSf0XZDpVKs8i+mGVXVvd5LwjaNZ+NFUBI8O6syBQnrWPqFNW54IBmH/zWsAQgnBQrhbSuQd3OvR5jCs4u+/V418Q0ARhTas9Rb+P38DRQas7LUzFLVXudvS509iNnj+nMGLP/xoPOvhYxNq6da1BTytZqdf6NjTcxzW6cFWf3ez97oGK1Muc/yMabRzl7jaScwfmBqtknCSkN1i397DMGBSJnjD5vFt5ZP1/IWo3R7T6DOmVohfMHNLYWPQEzZz/Pyirfzd6YkKPVxqizJbBx3fxQzGFpQj027cgUlNJan52P9dt554N7jjDt1RjKqBXni041bm4rXdK4NCYcSBhLmK4PjUIpjau7ukk0AoilKsDpxZQzD94YjrPbD8LZ/wk2QcWHEdnffwZ1ovAnX/+/Tv9SQtEcZ8dM21Oh1K+R/ajG9Jm2hs+gMjHjSSV0Sb0+/1jju5xGzMhulgce+16tyYV327mV0o6WzALA9mDPSgkL4+1RjZniMn2KU/N9WGrwqvUIs3SblV96RnV79MaMiwxq4zZzR7CYoj+ngdgje8TMypec3QdKAIaVyI4TnT3HYtzKGxPnkCW5lfHYOXf4xsARzwlAjLRIn2LOoAqc/ehnXxSgHj7WjHRA9hVnnzuC1VVSGiconNLoliJGR2kEMFHs7PLptXF+NoyWQGs1ZubsCzP7PLYWvaDG6KatcQInsuMkg8p4Yw6ux0zDQmQHYO3maDmTMqg1nNV1z0MdZKU1Zze+y3sn5TJ9ihM1hmna4facfUd5u8LZI2fPqRpBjVlkUN99Vf+/b74vnDqmT5VS9Qe5u8D75+z/9j//we/+3//rcVsfcFLgcWivSpw5+2oKnqgxW4mzs8h+TPWsObvf7jl7XsaMOHU9MiUVe86+o3zFTEHzIAiuXY8zsqdl+hRnGdSw4Oyq8TUEADVkvdq0RDe27Dl7v3Y9RhqxT5+uGPTBG8NJCnudvU9nTWP2r1o7t45Zc3bjVY4VQEoMsnvvU0yYM6gLC+ZBnuaR3e+9MTkl4xbE01OYw4u8dWtk1+Mxg7rm7DPxDImJhB5cj8PS9ei6lEYAw3mDzOOFjIKfXR387LtUr1eSwtYdOHsYl5y96WY1ZqSl5RELnb1ZcHY1p68oMoTpaCbmdPa9iYVfVo2b01drzq79Zl5W6/Qp9u0eeT+7s5t0CIWvVk/oozFB4uzaKECVk06FX/pP9G//OJX3g1T/BAWo+DAi+/vk7M/HF//ur/+P6+bq//y7Pzv+MUe+BhWAdrqkQrFfWB4xJ/Hj/KvnreB6rFMUyIXgZ3d7csGqMVdnOvu5IOg2iea5W65WULJ9sGctp+AxYJziWTuweXin4sHPrpYZ1Gbm7DVmtUJ21Zo6zcg+LnR2b7s9ssdl+hQn3phppcZ0zs1qzNoYA2BzqGPiFKc9Z48UGWQ/6OxTWtagtraZKAAIKfvVXfXHSqWU7BLZ9zr7mHLHILsZZ6sS443xezUmkF49S45qTEr9d87ZA2aRx6/8qTNnJ4azXx3UmBInvcyg7nX2icKi3w723hjB9XiwKq2dxJhFznggTOeh8NaannIVkB2Nw3FZLUPh7VwAuDsvU5rHqTFhJXJ2iSYIofCjagzOafv9WP/jX5bWqT//yuMpwQfL40cZ1PeTQf3K87/8yTf/1ad+7H/6D//4n45/vMDZ51m4LlPCrMbQjMKMN2aegpjSsvjnpJ67xEEz9qwJqDse2U+8MQuvmG1zTrWWflWmhBNykVati5xTRLVWBI6zHxbLrMacc3a/r+cuLGf3B/U29Qud3RmfC5VaYlraVLBXY3jO7q2jnHMpPZ01jZlHZ9zM2XOsZpFBtarkWgtSSuso4eh6HFdqjDO2lJJrETi72XP2GM25zq6tRa2llHWZEoDOHdSYlBac3VpTSi2l1JD57EU8cPZzDNLaAig5DSl2q6dXa/0c7qzVGGU0tK6U12Z2AFun+r2ffaWzWwegZppoas8zzzgpBcghLxaX0goKhSql3ti1yNntl1XOi1DYKNVoPVDm01dz9wWgpEGfEyalrVKm5NhnVuR0c6VSpN6fm4mVMkZbymFdI4JTb8z7Q/b/8vXyEx/X/8O/Nl/9x8dJ6Ec6+368TzXmv7z4q3/1xo/9i9t//rd3f3/8Y5Z19jlyzKk3shrT57w1Z1NQK9VoPWZ+CqJxOAiCC86ulFHGFQqszr61rhcyqICytk007lbpXBzIDth2owrWKoo1xKWtESfIXleVSvt67hjXNBAzZw8ZQKQlZ8eBtoeV5RGzGjMj+4qzK6B1bqI0nLcWmMfGuoFm1XvVnknt8yWiGjP3M1j1jQHQWB8oxkgNp8bMrse1GoOD1D7wOruWODsOSVQ+L33g14lP6XeJxoni+io2zo+z6zFltXrSzMUHazM7TjOoYVTNEr5V09YwrT1FmNUYgbPjsHd8Fjj7vKwGokUojGM0zBOmQw1qHIxfqkOzIMOGwlvrhsw7jgBYt0mp7zOzrE68MXwNKs6TqN94UX/4DfWjb6mvfetxEv4Rsu/H+0T2v3zvr37ijR/7F7c/8ncnyF5iWW9vPY8HNUb2xuzkKSj4Rg5qTFqGjQC073Ic+syrMffHkooV2XG2JRr5DKp5sGetSyrmMtRAtVltuti4h+4Cy74xABqPEHnOfqhZDzQ2KxHW2zbSFNPk12rMSQa1Xd2BzvoppT4lXo3JCVzfGBwWGI/sD2rM1LoV93TtmKbIqTGNs3tvTEzGLX/lWWofU96s0sudNePBG7PoLoB9YjatLY/YF9DvMcivMNG5jtLIcvZjkddaZwegvC2R1mZ2nCD7Wo3BLMjEkVVjWtsGCphdj8Le8awx4eiN2dGSMAHYWDOIhEkMhXHoyNRzS/WEMC11dgDOdimN6xoRfOdqzDfeqz/0TP3Ix/S3XpaTzVeEkSs+UmPwviuVvvrib/67p//yym+ddu+NL+c/Sn52PKrGpKPOvn6ez8jOhY3+EDbGQa/IhfGbEsd+5brFaQaVltYIHLy366YxOHE9shs2zvUUYdmHAwC8RZynYIjw64RBU0Os4ZLOHmn0DLJ3kcaY4hrZvWvmDGqg1KwWYef9kOJIqVu/ZI9qzNIbg8PvKHH2BzVmzdmNnyiyaozzZvbG5FV3AQDGu5zSSKVb/RybBzVmaa7fn4/E2f3ecbR2PeJg5GA5e2f3nL1ERr7X3tZIu5WZHQvO7tecvSthZNWY1jQPNagrqXM2PvLGhIM3ps8cChvbEy1a+B5O5qCzrzzyALTf7AnTOhQ+dARbe2Mwu85oYEXOmTDVgpKrEdoAnHbv+MaL+s4zZQ3efqr//vkjPPQjzr4f70dn79MQS3yjewrgR28+PtP2Wmot0MIe4drNU5DNoO7DxrXOjmPYGBNWpAyNhVCDitl7G/ue0sYsP/O4S8C6WA5z2EgDGzZuT5rSrVFvphWBPdOjGjOFdSp4trSXmPXa9Xjg7JFGv1r2je0CjeumMZg5O+37xrQrTbyxNlAaMs/ZJW8MDpx9sVXe/iVrDzWosVmJPK31E4W4ai2AfSPffQbVrO7dvK3SukwJZ2rMsiMYDsVKLLLrxtY4PxKYR7u1HaXpMmeXPrYEGgjbtevRYTcHbSvXIwDtuxp5NWZu5It9QMyoMTkUWnXswIk3hiVM2z1nJ75MZL+slt4YAMbt1Rhu5lhZ5Nx3O5Bdj3lP2IX+Lscy1FrxrVflh55pAO88Ve++eoSGnjR6/MHuLtBoPLqX7Dd233pn+9b874/f/LO/v/9HXEyfAtBe5VQo8q7HOWwcct6swsY5UntEjYnLVA9mQTCNu1X1PE7CRrZyytnNHDYy5OKhKR3D2a1XlGpYtQPDqRoTV5VKB0t7nTjO7s2MQSGJnP0R12Ni1JjWukA0En1H3hjM9phQpAxqormqKLYMsjcTxbBqB4aTjmA5Lr0xAIxzOaaRcrtGdmdGoW8MAO9cmJF9nb04RHuURrsCU+s7SuNEae2NeVBjOM6uvKmRdglbhrOrvZ89TGr1GFZNU8MkeGOa6djFd/VzzCFU5jj7sQZ1WJWJANha20uh8MHPXuKg19UnfpPTyKevzFFnZ0RO7zYxDYLr0eyoXJBicKLGvNrVTbM/6zdv1PO7x5B9bs7+vR6rZ/f3/Xg/nP2b/bvvbN+e//1m98bz4QUupk8BGKdLrBnjOr6byUWuNZbSMYKgHS7o7JFqIdSizSqKd7POXtc6+8a4Iadacy5kVwc61xGNbBJ/9sbUikLVrqbL3KI9SrneBJQCylhJycr7GkKJikN2XUKutVAayv9DAAAgAElEQVRJbrXsveti4tWY2fVYgZipXUVCrXUTpZFSt1qfe29MRaGq12pMo7Kss6eUKmrIsVnd1QNn11wG1VzMoLqc0pjsWo2ZK5UqQERuxdkbf8ygru7qwf5BNDFqjN0kGoa0rPAC0Fk/7F2PXFmZlzn7UY1JgVFjfFfDOFVOjbHtRBOAkqpekYm9GrPa8w8nfWNYzr6Zdz5gpcPT9BVDmLYl9n3RbAa1l0VOa7tEQ5/LZpW+unZ6Rna2TOlwOXvO/nJXn1zt3/bGjfr6t9+3GvMDrrO/nwzqN3fvvnO15+zPuicvppcQosXjOBEEVyzAbigN7PzD6RRcLd3Z9Zjjsm/R4Ru3JYlJ/J5SosnaFqvwb17YF4rlpLBxRvaQlk1jcED2vTFGrY5sG4RYQ2ak28bWmFMOzjTrr3xQYzidPaYQKTlj1eobG+sCpTEvm8bgoMZQKpo5DtZpEnT2WY2JlBx3ZGubQIHPoHobYy5E6nx763kY53JKE8fZW6snKpRIa61X3+icqMaoxtSYcw5aO6VWcYnbc/Z15DFz9koFCuvNHFRja8wD1c06g+rQEyolKKVWDFo3XQnjmKfOrAW3ZqKpUFUaatnt4sDZSSBMsadaS61+dVe31gxSKOwtQpoJk1o9+OcyVHZZbYzrKeWScDCPng5vt4mG3arRI4CN0UN+hLMfdfbXA54clvsbN+q9xzj7Q9+Yj5A9PMbZv9W/e1Rj3uievRhf4nE1RudUchrWxtvZ9bhuLTCPwxRkKgln12NJo145MbCfgnwGdWPskIk4kR2HBNpAhVUne8qMHXB/IYpijcSoMftKJdYRuQ/GQw1ZrXakUl7XmFljDB68MYwa07gmxDARQ9gBtM5OiQYugzp7Y3Lkd7cxjaize+cTpZDjWlIA0LpmzqC6VcjinI2JKKV1+hQPyF46t+Lszowpr5vGzGPP2SMnJXtbA6U0uhUg4lCGuu6kBmBj/UiJ9adi5uyResJGqFRaN405nE9bY5D87BOFEoteXT4uGhOsnUNPJn2KOYOaSTDauhpIJEyuK2kSFB7X50Rc6gKH52WfGcK0sbrf6+zr4/bjqMa87uvtdr++3p8a81EGFQDQmMc5+zdOkP1Z+3T2xkgtfOdhnCqxEi1bBWGvxgzr1gLz2Bizn4K8IJhKGtdqIADtOjGJP3N2Ls+D2Z5FIxs2zkn8S32LEu+N2XP2GBWHQXOLdj6D6m2JOdLoVmseB509EeeN8U1MYW1mn8esxgyUNqubs+fs0tPr4I3hdfaUWLEYhzLUmMivrrHxJkbKkUmf4vEMao4pOQ68/J6zc9mLxtZIlEbLcYIZg0auBnV25a/LlPYf620VM6iqT3XdnP1wYFMjr7PP903uj61KqKyZ2LguXwiF58oMbrLul9WqaczJx46in51SooEnTHYTU8/q7Ftjhlwy4bLOPu/6cobst+q9u0d6wVT6KIMK4FyNqWGk9765fs+7/bff3n5s/vcb3dOjGsNuuzEP7XWZOTuvxvTr1gLz2Fp7uVgup8nwnF1UY2bOnmhY53lwxtl516O0w/pjakytIa0tj8C+rYyAQaaGHGliOfusxsQUufyhjymOKa7Tpzgg+5RJUmNyLIYliU7lxOvs1tmU0sSlT3FoHZNS9hxnTymvWwscvnHOoJaW19lLjGkdB+w/VszQ2BqIaLLcXbW2S2lgb11n3UiJTZ9i9sZE6mWdvVzg7Cnw3hjTTHm6yNkzcR3BjN1kGsVQ2JieeM4+T9a8ahqzv0bXFQnZje0zEY1WWlY0sH72jdUDFYlMzONYqXSK7N6icep+WOF1KeUf9sBV80ecHcB5BnX8i//w6n/7X9bveW988ebmjfnfz7qnL8ZXFfURNWauVKLRrF2G+2w7Y3nEg86+anl+xtk5cuE3OQ5sd4EDZx/Zhb1PoLGc3eqeClOAOl/IPoMqeWOAVXP2/YV4X+PMBDlvTMiRprXlEZf97NYnSiNFlrM31oaUWDWms24iymnZWmB/jRcrlS4iezNRiJHR2Z3ViQoJnH3OoE4cZ2+tmahEIrtKvGMv8iSWX8+OI4o8Z58rlQIxblFvbcqUJ04bnDl7pD4xakxnMWXkMGkW2Z2X1JjGNjHHFAv7c2ivc6ys8dzYpmTapcRy9q21UqWScqbmUqbd2m+GI7JzoXBrbCo5JD6+dHZDaWT97I1WuSLEcklnP2yY96qvT7YPb7u9wut++eb47/88/Lt/P//76I1RCt+7Vo8fRmTXKhx6qo1f/tPw1S+P//nPT99Qan0d7p40t/N/nbada+/DTmrOPo+5TWBOwxrZtXZQ2KWwrpQDsDFmEOxZsAa1lsCHjdq2hSbWnuW1KbVOqWdl1r0gSAyyG6WswrjakuJwICghEKPGzJ+UJ16NgXeYdYP108soKIQwXED2RNGtwFQppY0ZwsRzducmooFzJRultFIhZtaocKG7gFJKaz3GsZHVmETLbTfmA63RcZzMCkkBmFmNSQxn1wrOqGFaNo2Zh3cuJZ6zQylldRqZMiXM3QX2GdTVNUI1xoVp4jm7NyXmgep2desU0BlMQ1hbHnHg7Kwao6C88XEK0j6UJRRK41qNAWBsex8GNhTeGNNTRmQIEwDVOBp266cFAO1aSY0B0Bl7H+54wnQoE1kvK8xSe7iE7CdqDG5P4pPbjXrdnwF2vd+F//2P6ctfwbzR5kc7b8zjqLPXOIW//H9u/sf/efp//+PpG+7i3dZt7UnT/Tfap++NL0osuhF/mJmzr/f0moex3X0Y1o1BMBtvc2ZrxAEob2m455HdtSVNA9ddADNtj/e8GnPg7OuwEcDG6t3I78M70wq2pgpA45AGIYPqXY2xRKa7AADV2Dj1azM7gMZ1IY2B2wcDgLd+N40ssjezGkO0dj0C2FjXj5HPoDqVU2V33gDgnNtNwwU1hvXGAHDOTGOwgs6eU5oyw9kBdNYMMfKc3VoR2QHV2DQJE8B1ROOUY7vybgJorEtDkD6zBj6DCmDrMHFmduwzqHylEoDWtJOM7HtvDDc9jOvu48ASpq21Q75wc1wZdpLOXtIkIfvWul3YScaEmPqBI0wANkZPF5H96Ho8VWMA3G7V3bkak7/6NfPf/nP98R+iv/gqznT27+X48CH7UWdP//DX9p0f8f/yv0/f+NrpG16Or552T07/8rR78ircPcbZdY6FSCIX3X2YWEFwY8wgpHowT8GxX/ctwj5sHCRvwMbYPuz4DOpBZ9+wyG70KExBJ1cqAWicSmNUnM6uGl9DYi3SAJQ307TcBHUeszcmScjuXB8mKYM616CudXbMavJIPGf3op8dgHOuD+MFNSYlxhuDud3jFNZmdsxqTExjYrwxADqrhxAtm0E9emN4WmrT2F/KoHIVXphTFGMQOLstkQYB2a+sGsdJrXQzAMo3RVBjMBtGx8guLr3vCMa4HgFYt7kLo5C+Mr2QvgKAxpZxYC1nF9QYzMVKUVhWtiOahvwdL6v94YcN83Zjve7OkH3B2fPff8N8/B37r38s/9XXcKqz/6C7Hg86O7141z57x73zo+kbXzsVqN4bX859BY7jxl+/Dnc51kcyqPIUNK7bpUkQBA+ti7i1hMaWsZc4e07TkBn7B+Y8Ydyt6w9x4OysNwYXp6A5ZlAFzk5j5F/zHpHPoALQ3oSpv+CNiRQ9B6bO+j6GCxlUVo0BsLFuCpkVdo1TsxrDgqmzro+D4I3xYwpxtQnq4UAbp4lHdtnPDmDjTB/SOis7f6aUQQWgvElh4CeA26RZZ+cfez5OgfXGzJVKbAYVwMYiTmHd6BGA9q3kjcGM7FNkF5d2OieZs9tuF/lltbeciTfH0sRzdu3aOYO64R8Y87LiXI+2IxpZMzGArdXTZZ390JRJqbNSv5sN7oazd5Z/+Kb++A/pN56W917htAb1eyq0fwiR/dBdIL981zx7W2+udLvJL799fMOL6eWz9hzZm+v7uCuPZFBViSUTo7MDsHbT07Ru8IKZXO/XJ8fZvaWp19z6NK4raRwysR+7NW4IO0GNaVMaWW8MgI2dkX39Ctw+g8pGF/BO5TEJGVRXY2JdjwCU1zHwnH32xqQUHc/Zm1Hg7I21gWjK1PE1BG4KxHpjrNdzBlVSY8Y4rZvG4IGz82qMdyZOiVVjzIPrkTmf1popJsuBhdv3ehQiocamqWd1dmPbTNNEcZ1BBdBaR1OU4oAaaaC65crZNxYpBImz18h7YzC3ewxRSHuoMofCArLfJz4Uni1nfDsmQHlXwsBbzpzYXQBzdXfgWYizbZo5u6CzhwTuTPfDOlCs/VSv2rP7wHH2b5qPv6PffFbee4GP1JjjaB44+7fM048BcP/sv0nf/NrxDRxnv7oL95f97NrpnKqY6nFdH6Ogs5vhgs7euDL1gj2rLWmSaamdBD/7oSOYyNnDakOlw1XsK5U8t7AbhzzyOvues8es+IjbSn6Dy5zdOzek2Eg6e0pDiqwa01oXg5RBVTlVIrK80dCNcWKJp7cu5nRBZ0+RV2Oss3OvR5azt1aHKPrZL3J2S4GvVLK2JZrYDCqAxjqaEvsM3lcqcd4YABsLWm27sT8Z19Q4hRwaw3L2lkLmObvXJVXWTAzAus0uCcvKmD7zNagA0Ngy9Zp7WszLim2ODWBr3bjapmp/MjNnl5dVfIyzp1T7CdsFsm/U61OdnXJ5/kK/85Z682l9/hIfuR6P46iz55fv2mdvA7DP3qEX7x7f8HJ69bQ909mv/NV93D3iZ3eqpFRLXjd4AWBsN1BaN40BsDEmJFrvsD4P1boSRs1BiXYdpYlqaTQ7s92UermkYoyltAK5iIlpb4uDFMg1hgEAb5FDEiqVXA2pUlXsNcqc3dkmUkiUHLfMnPWBoueIUOtcoBRKbtlXjY2C/8c4lWOhTMI3uiFN66YxAFrjA0VK2bKc3RuKTNMYAMb5fQ0qz9l14OpaMVdOXeLsJsVB8LO3RNOUU8vR0tY6uuB6DDRkEdlTDJrl7M1cg8qrMZ1tYiA2IDZu7ggmZlCHFKUMquhnB5S3OfKl3dp1JQ4DEStybq0NqZeqBGY1htXZt1bHWI3cuss5RRH9VLfnn73g7OXla31zDWv009tyt0POH3lj9uOI7PTiW+bp2wD0kzfy6+fHN7ycXi+Q/ba52XP2ixlU4rpbzMO6rqe0bvQIYGttlkR2AN4WrtEjZu2eIjv/AGysjVEwvdm2z6UzqyYd84FGR4GzW6dChLN8I9LGqRL4DCq8r4GU1+yRqrGBJtYb400bU3DWMR1eAO/8ECPfXcC6HcVGm3W7FQCdsSlmvlLJ65SSFcJm59yUAptBbawPKWnDNHgB4KyhmAx3qsa7EMlqxR7YWhNTYr0x3tkcSVnNNOqZObs0AVwX0qShzKrdCoDOeYpJc88S3ZiQqga4O4eNVTkEtlRNuSalySijV01sADSmyYFEzh5TRdXcPDe261OUCNMUZcLkrVgm4rqJglbKcTdna1yQmnbYLtBEFQ23sDZGEz3SN4ZS7ae6OTfg3Wxxd+Jnr69eq6c3AKC1vr0qL1+f6Ow/2BnUxuz97Pnlt+3TjwEwt2/m1+8d3/AqvH7S3pwecu2v7uLu0UqlLBhjsOfsxCL7xpgiZfAB5V1OIysIatcNic/zANgaF6UaVNsNlNcbKh3ORyepu4BTbNOYeXg7b7shyZrEBvgAtDeRBh7Z7Yzs3NMC8NYHSp67A421Y+KNMQA663LkG+8Zp1LipRjMyE6B1dkb61MqrBQDwDtLXKNHAMa5gStTmkdrdCBi1RjnbA2JJewAVGMpMi18AVjbBuJVLACtcTWS4GKyfarrFr7z2FgUibP7ZiJexQLQ2ZYE2qS9osRHHgCs2wyZ2WUQwNYaibADQONy5HmYdt1IkU3PANhaJ0dC3SCY2QFsrbis5mGsqqXeD7g+/+xto8ZYj3sFlZd3+um+1Ea9+ay+9/Kkb8wPeHcBg5hRw6i0nntc2Cdv5lcPnP11uLv1Z8h+01zfhbvH1Zg8sTEj5rCRxCnIFqDOQ3mb0ygJgkO+wNkdu+0GAOe6XogZAWzkKWi9EqAbALxDjXwGFd4jFhGDvAmJr0F1ppEsj5hbtBOxCNU6N3KtBebRGZtJqkHVMfHiDwDnXCC+I1hjPFumdDjQ5ETrrfIAWOfGxEsxADprRCelczkyxV/zUN6yLXwBWNdKlkcAjXUlkmI5u7d9Yho9zmNj+Ra+AJRvAwVWxQLQ2rZEXmc37lIobNxMmHhjQglRJky2pElQY1p2N5t5dMYmEvqs2banKi4ro8vFDCoA49R9XxY6u1LYNGqY9pBdX75ST/bIrm9vyuv7k503vpfju+zPfn9//9u//dt/8Rd/8YlPfOJXf/VXr6+vjy/98i//8le+8pX53z/7sz/7uc997sKbv4sxqzG5v9PbPXzr2zM15i7c37YrZI+P1KAqrYqejBGmoO36yGy7gXkKpktqTL2f1lvlYSYXOUtTcGtcFhwF1rRjriK5MCaLnB2RK0A9nCkQma3yAKjGl0jqWmKXJuYL3QXStcDZnfOB7tdb5QForBsobYQHbWddTmLfGCLe8oiZs/fMhkqY1RhuQ6X9hTjDNmfHrMZQboUDG6sTEW/BdBaBF9kxe2N6kbNPRKymBKBzvsZJcDHZIfOWRwAbCwh9Y7Rvxzw19pY9sLVNiWBDKO11oZFNn2IOhaVlZY2JGWz6dEb2ndi0g92wZf+xxklGHeu6UShTArAxOl9UYwA4r+4GvPFk+ferDvcjrjoAKC9e62cHzn61qf1QqZ05+/dFd4EvfOELb7/99he+8IW33nrrD//wD49/r7V+/etf/4M/+IMvfvGLX/ziF3/pl37pwpu/uzEje+nv9Gb/hLBPPrbg7Df+7OFx46/vw32+yNkBKBfWLXz3X2G7MVdpCiJkPoM/c3YSBcGe2w3u8LGW8iQs7G4slXXdAthYnVNlI4FZjWGNMQC8VYg8S1LelVQvqDGJAs/ZbUs5sZZHAN76SFn0swuWRwCtsSVCyqASt+no4XxczExbcwCt9ZnqBc5eSFRjxnyBs2sicrzr0dV0YeYYykFItHRTETl7ax1SEbr4mr4qNn2KPbIL3QVcM+XUcsYYAN74SnyxiHaKMt/XDIB1m5EKGwp3xugkBjRobKHAc3bbDLVc4Ow5j6zIaU07ZojIbnWlSztvALBO9WNdcHYAV53aHTn7q9fqqMZsN3U3fH9lUP/0T//005/+tPf+05/+9J/8yZ8c//7ee+8R0a//+q//3M/93G/91m/1fX/hzd/lGStohdTfHzn7rMmUaQCQCqVMm/P1MHP2yztvAFA2sMZzAGbm1xzz6oxxiaqocdhCgRcEbTPWKk3BjXGFJlaNsbYZi5GmYGdUFdqNGqtylXQjOAudhF6PztYM1vKI2cVRJDXG51wlNcZZFzKxnN1qXVFlKdnWJJBEqwqyqMZYF3NiVQWrrSpKFuhNIWKRXSmVtG2FjY+90Zn4J43R2hXFZzMB5U0uvByntcnKssYYAI1xNRX+MazUZPzG8MxwY5Ui3s8OrclqSY1pjK8JbECstFLmUig8lspmUBVwW1AlqcrZIhAmKB1tu+H8ZgA21pYc2LuqlM522/HHYWtNyVjvU3Y6nFe7EdvVOrhqsRv3/y4vXuune1avrja1H/+J9lT6LtWY99577+233wbw9ttvv3jx4vj3Fy9e/MRP/MS/+Tf/5q233vq93/u93/3d3/21X/s16c3H8Ud/9Ed/9md/dvqXn/qpn/r85z+fUpq3JF4Mr25efPMbVrvnzw9U/frp8699Vb/5w6/C6yu3efj7YSgoCvnV/Usdxd+m6KkWuz4WwBRyTyXe3z/njr6tKlRiD1QpUBru+hC5V4NpTOYPRIiUpt1uYl8lvbU5si/Vacxxs+tfP+fOtRpdS3z+/G5/XdMUQiAiABRdDdPrcajshRibhGuMcQx57O/H55Z51eqm5swemCIFSlM/sK9qYxTxB5YQc8z3w516vmqjB1RLpRT2wBDCRGHc8d/olK/CNaYYKKZd3yvu1eycEq4xhynFNPQ79tVGmwT+VEsKMY27np8AxbRKuMYcUg3pbuwHdiY7Z3N8/vw185lTgzDejdOOvXXOmQzhG6mEcj/e0/Np/SpMzNXwP0csOyppt3v+nAHUJ1VNqiR2blBMadwNIR9ejTH2fV9KATDZjRF+jjKGnMa+D8KyurYlCQcONbV3u1eVW6zzqKrc9YlC//z52d5AVjXf/Pb4/DYBcC9evqp5XmK6ZP3eizg+vevv+ueV7u5S5Bf1Yjx58kTSGx++9NFP4a+h1tnHVmud7+Y8fvzHf/x3fud35n9/9rOf/exnP3vhzcfxyU9+8nOf+9zpX25vb29ublJKt7eMtNdY2EzNkzeuD6++vHm2VcXf3r54/fpJe7s+6sptasKTN2/XG3odh3ZJuyv2G7dXT6cX+q3b29sbJklwA6W6lj0w3VzVGm+evtlxrwa3vXGePfDpi6u+xidP3mRfLe76ymv2pWdXSRX15On17S1HhWzfend7u+dl3vsQwvw5N1fVEF0/e6q4j31tW9c49ht3N/f5FT0VTtWqtmn5m3NzfZMrnt0yvxcAa+1GuDlPtle66Nun1ze3DG/VvjSuYw+8vr6mmt948oyfV6ptGisc+Hoq+ebJ7Q37c1i/8fyBT6+mv6vlVrjGVhvT8nd1utnWSrdP3mBfhem2nj/wydW1Ke9eP7317JTz9kY41WdXcCVePX3muFejd1vH/46321tTzPWTq+0tF/L66IVl9frqafxW/djNDf+xBaprpGWlarx+8ub28GoIwRgzv5nc5toJ1/jq+nkJT275uZrt9ZXjl9Ubr0rM9emz6+2NGPe33S4E/bFnV4sPeHZbM+rt7QbAtBuuf/iH5qqR/LE36Ct/bZS+urn2t7fTNu7sa/7nPh+Gi3IW47tE9jfeeOPdd9/9+Mc//vz58zfffPP4969+9asxxp/8yZ8E4Jybg1Dpzcfx1ltvffKTn1z8cRiG+UPW7/c61Wmw17fHV831Ez31zrkhD0/a2/VRt+4JdPWs8eMwlI3GbNhvbNrrsaqbtmFfva2qeMu+VLqmlth01+yr0W82xrAvXftmKLFt+QNJX20sf3OuvRtzbjvHSsbVqNao44FEVEqZ/9u12eRkNxvNitTWGaf5NludT4ib5op91WrvLH9z2qZNpVy1Hfuq1rqxjn3pyjeJdNPxr8Jk5zz/OzYNIW8b/hu98la4xrb1KLnp+AOzsad39XRsG19z6dqW/1jl4PibQ12TEaQJUEzbWH7mbJtWU3Ubfq4G5zdamDlNMRRdx/+OybnW8Dd803SFtO/4e65csJZfVr69nupOWlY3ShfHX2PtmlKTbx9OdZ7G83+j7zaa/x2vffO8isuq2G1nKn8yjXuvxLZ1TlDPALhGTzt1s7WL3RFuNrSb4JxFTCPgt3uVX9/e5GFCra71zrlkrVb8LPouxneps//0T//0l770pVrrl770pRmUv/zlLwOYpuk3fuM3/vZv/zal9Pu///s/8zM/w775Aw6vVR7ujxlUAHp7U/o7AK/C3W1zsz7kibrBY3esmqAVnyMytp2qYjOoAG6yIiHzphpbauQFQSDqphOktc5YVSIrCAIoZtOC3zNwa426sK2XUVaQWb2FJr4GFQCMVwJRUN6kGpxgdjbKa0mDdp5qZXV2ANpox9XFAGit0xlsF18AMNkq/jOttalk1hsDwCsnXaN3ppbC6uwAyNiGqzYC0FpdM59BBeC1yQK5Ut5QjVa4q8U0XvjGznlNVQkTMnjfKn7mbCws8RlUALGxXoCL1jSalGg8M1FaVtZ2Y4WUarotSNKy8jaXSVpWwXadMP031imKbF4aQNZX0s3pjNaZT+0ch3NqInSra73q1G6sAMp9r68fererq23tv88yqJ/5zGf+5m/+5hd+4Re+9rWv/eIv/iKAX/mVXwHwiU984jOf+cznP//5n//5n7+/v5/VmPWbP+BozJk3BoC5us2715gtjxyyX5tr2MfSEzYqSBnUzVSNNAWvgCTkM5V3pUQ2iQ8g2FacgsbpEiRTAZlNo4h9qTPK5AvIDgFm4a2yOfF9YwAYqzR/A5XTCYnNoALQuIDsDRUxTaq0dhJ4GatJi8vMFC0k0JxzVLMXMoEOXtLqvDMoWUL2bJxX/M1prUYtkiraKp3FmWNyTaw5CkDRjcQdG+ssge3iC2CydiNwgo1VLvN7KgGIxjRVcnY2phgt/Rw2KC1lUNsJRiJMV0VcVmhsLYktAAQQdNMKhGljrKrRGv7AZLaNyuxLG6NNURe6CwAwXsWMdmXZOiJ7vd+p66vj39W2q7vhoQYV3wcZ1Kurq9/8zd88/csf//EfA1BKfepTn/rUpz51+c0fcHiNMjx4YwDo7S29+CaAu7i7bq7Wh1yr62wf2xhbRwOJs3cBPWvPAnCdEaV15k1Fkiw3k206YZnNnF1a2EltPHhk3xqjC6RN1otSQnMBeAcjc/ainTSrlTdJRS+sFq0cW3YPwFmfZc6ulDICZ++s1YXvzw6gmmyEiW2tpZolJ7iBhRDQOGdVKWylEmbOLizK1hoUvlIJgIcpwsRR3lLlXY8AsvJb4edojLW5Sn7BybimCuBl4bPM2a1phJ+jMc2QE7sPKgCYqGXCFKphvTGYkb2VOLsriGzTDgDB+pXzcD82xmk5FM66a4Rl1QIF4BoWPIxqtNN1TQ6uOuwmAKi7Xl2dcPbtpg5j3R4qlS49Nb7j8eGrQQXgDTCeqzFXN2V3B+A+3C/M7PO4xrY8huxVByUge7GdAqyAUJuKIJELqwClBAoZtW+qgOwaCspogSTqzmvGNQSg01pVSDS5amUEdtnoAlRIyRljoPlTVU5VkBWIsIIRbhuctQVwQiSktDLCZO+U0xVaetToosBfhTU2o0jf6IEM34sAACAASURBVOCqcI3OalVFzp60dtJdNUoVMeXlqsrCVSiviyIj3NWirRWjBG+K0pIac4Gzm+pK5F2PQDS6qaIaY7LM2fWklcjZA4xEmK4qghBDKW8vEKaofSs8vTpjbSWZMHUN+GXVwmThqX8cxcBz6257qEFdcHZorRpfY/6o1+N+eA2M97p7uEd6e1v61wDu4+7aM5x9ozbZ8k/jh6GCqvy0Dmjbyv/kAK5ynUT+SKqKAn/QTpqCDTIJ8AQgqbYRzqctOsm/alEisvsaScARAFBWCQcmQ7aKB6pqpUfCzFUkplJlhtQoQ4I0BKAoMoLODqMMtBK+U1dThY81ClVeLKStFzi7U6XKfiwHlYW7mk1R1SqBJmflrDRzqi4KEL5z0kbK0GyQSFm2PRmAZJSrQrSHpqoiXWXVUQnTI+tWoYqEKdcg/IzFlQuEKWjXyoQJqFoLsZdqveKXlS8qCb/UcWSlPTd/ti36AAB1N6irszhDbTcneyr9YO+8AaAx0FOv2od7dNTZ7+Pu2m/Xh2yxSUaE5nlUFSAhu/HSwxzAJovkImtRGQAwGSctswaFBMIOIOnWIbIv+YIoo17V4k/uQUkCRKDAQDjVZKMt4qkqaOmRAGgtfCaAquSUQLakeVwDUDVJnD2rYgTiCcDAVCF7oWspAsgCIGWcACWmoMgxvKuKhJlTNJkq/hxZWSs8S5qio/AoBTAZ2xZBjalh0vz8BxANGgHZG7ikZdqkg4TsUXuJoADoKiYh1qkqa5kwTca3lT+fBuXCJE+6cTXwB1Z1YVnNIytwZdEPfWPqfa+uz9BJtf77K4P6X3d4DRVHfYLs+uq27C5x9g6bpHkoPI6qJi2oMVH5poqHt6WOovpBSl6fk7Jt4We2qynJbp4E74Tz8VUleQpmKCPwAp9Tkp8lgNFCcokUXUR2A/AHFiVjPlAVpFcdTBJOBkBF1oW/5xlVUngA6GqK8JUGpciLJSltJWRHyfIjwRaVhR8rm2Tku0rKGEER9uXSBBi1bYuQe69pUnJ8qdAUIS4p/sLiqjqoKphY1CVk31AdBKmqqqyKGNEGJcYll5dVROsFZLflcWSnqliJzFlUINFKjQHQNjVXJVGYDzA+lMje6KrorCndiRrTX3HI3pY2qEeRPaIInF1ZL0AwgC7XQUJ2JCWvz0kZiUDZkoIQM2KP7PwUdBfJRYEIM66mKCN7hYYAXmSSy/IjoeoqLLMMGAH051el63DZRJkkFpW1ECcVVbVAPAGoarIQmSmULD8SktJO0EZMvXSgLUjizbn0vKRqrIDsrqggc/agTZsFDbpMk2BPBBC1csJvZYtNQqwDAJhQeM4elPOXCZNw54qhS5xd2UZYrbamKMfQSXkHaVkhyPHl4XDxozeNGkIta87etLXUOYP6fdER7L/uuK6hGn8qCCrnoVRNUeLsTfVBcaXPJ6PWSUL2COereHib8yDF1Iq05H4AgjJSKOCQokz2o3IishdMsnkqQ1KSYUuKcqCKqiTqTSpagSMDqFBV4NdFqQs2ryq/5qoNMpRkkBLu+WVk10UXARP1ZWSHktQYXQvJnN3IAVY28QItJSiTBc6eLyH7pIwUJjYl9rqRbnpQ1Quc3WYbZc5eEOX0lW0KP40BdFR7ibPXpIokR2FSuskCspcUtGh/ThCXlcl6Uo8Ab6zKSlUmLfoJ6Ad9rrOjadQx7/MDvvMGgOs65lVfXN1dleH+Pt6zyO5LM2pxDs2j1KAEcjFV40qUbnyT6iCswYqoshOnIHRT+CWhS5yUOAUDnC0j+5LJetJZOjBDQVyfFJWTJm+pWgtRfKrJZifxjVpQBXZJpaiai4CJWVXpVDUh6ULCgbVmSQFLlXRRVbrIqrMgDtScK1QRzidBSzhbci5KJeFAkyHl5ShHW6x0BwhaUmMUlaArCbHgCN1mweOUQtRNFIh50KUh4YGRVDIxCdOjIkiEaSy1qbFkQVfMZZA4e550tTXx3zgpLT29Sp4y3CT8WAHOCk+aQjWbOgm3bh5UJNMsto3qQ639oLZnyF69l5/7H2h8OJG9jLTq+Kw312l4HXPsuPoFX9yI4fLHVkzI/BScSmlAmcQpuJM4ew4KTp6CqiH+pZynrMQpmKq1hY8hcqpFQ5qCuSojgAVizMZFiQpXBQnZS7DV1STgbFESXAYiq1Qi/tVcRWTPqZIpQbp1IIntBopWGekba1YkhAI5UdUmEQ97UcEKSEpERRkZ2WsSZJxMk0FTgzQBoCXwSjlrTMI1jkq3Ap+tKQTTDMIEiCgSZy+pFFMC8ZhYMSlBrBuIGlUo8RzFU+kFkbOkSSkHaVlVLYUClCfSbhCWVYR1hUeJTLVojBeRPWZlhVu0bTFMqP2Ic2RXzWmRwA/2nkoAruqUVvCtu6vd/Xtbt2U9bTbbHvwEOo5SA4jn7GMurcqZeDB1qeyEG1nSpJWFgJehKnEK0lS1HYUpOMFaYQoS1WwwCFOQagXXlA0AYiLjI4nUW0L2SKNHUwSyV0utgngdiYyM7KlWSdkvVLMu0mOvVEK+gOyaBERAVkk41ZwSlE5JQPaqnHRzUlJaB+Hn0BlRiN+JJgNfhbtKVWlBx6sxk61BnDm6lR5sKZDxoxDvRVQvPNhKKlmXKQtstwaJMA05N6oU4hdmQ+Ve4uxp0spJj70RqhHigERj1X4Q7kCoxgihMKVa5GW1//Ai6Y7YtKqfau1HtTkTG5STDEcfdHw4kT2PadU7X2+uXu++fdPwGzZpMkNlOr6ejlwnSOQi04Up6HLeXZiCuqkCso9QTnhaEE1FN4NAr2LRpvCXk1MtRiQXVBWKoF3GdIGz16wgrpbJKhGDcqkXOLtRKiXhY2tmO4MCoFirFZGdCiHz1xhyusDZSwEJp5qJqjYSsoeirBRdUVbaTIKOoXO5gOxWidFeqlVL1DtSNnoS4ssRuhE+s6aQTDsKE2Cq5ARkz7FWk6MwPXKZapYIU26RSVhWlsq9kIQoNCnlRc4OeCGAIJqqzNlDNRJhyoRqqvTY239vVkpYd9sW45hrpsVulNX6h6YdH+nsmzqGVRWZ2lzf9S9YMzsAnXWPR5C9lAASBMFcWhRpCrpUXkt5sDQp5SRknyoaAdkTjdCNxNlDNSaLnB0agwAlVKAFVo6YsrUSna0FSlA/Yp4cmhoF/ScXEnIJIZPTMmcvRUL2QqVoSDen1Ayhz1ag6JQl4UJqRhIKVQoRLqgxtRrpKlKCNlEI0lWuQVBjiCajmhqEbyxVCXJcSblaSFLVUHUjgH6NkayX1ZjshclRUimuTAKYFgQlhsK5VZBCYZvyPX8uyGnUWiQTE+CFpUo01QvLqmgthcKpworLah6RqpTh2jQq3g0Lwg4Azl1yEXyA8eFEdhriqp+G7q7uxles5RFAjZVMDgKtmEfJQ70wBbU4BY08BQtNRjeSGjPVKk/BEcYPwvqcqrYCZ6eEakVyQVlBoBU1xmqdqMZQVYKwG2lylzh7KYJuEIms1kkAGqolC/48ihUWEmfPhZD5iR1ytNqy27kAyLkm4SGUU1JG5OyxQsqgJiJtZM5ONUrIniarvcQJYilGUD9qpGJ1EJ40U0Erc/Zi/ChlUGv2wn0rqVRTRWTPk7SshpxbVURkJ5EwlRSM9jUKuYQCJ5xMolEZL4XCU1UmC6EwVRj1iM5OCkK2aduqdL+UYgDAeqkA8AOODyeylymsusfpzdVuutsKe+nmWLXHkC4lUUsOVeDsw55c8CisU34lTsFR60aKqcdSXBLVGGW8FDZORem8Y1/KqcLKakypQnUeEFNxXlgsqARIqyUHp5oioF7OOQtOskDJaR0FvAg5ZwEQC1XYOgmPPcpUSUB2il6LnL3kGoRTzYmUETl7yFULSEqJtLWSzo5UJ+H3IApWN1V6luSCzM+cmnKxOgjgNRbdRIGzp5BtI6kxsSQrPGZKqtUiSDp7GaVQeMql1erSshKMQ4VGJROmsZRGWOlEE0wrpq+KNsKyolS1fURnDwSVC0vBuwb5fmmMAVDtCWf/qLtAl8dx7Y3pru6n+yvHqzElFu3UIGThAdRaas018Zm3MedOK55c1KpqfS3m+oKynp2CpdYEWOGUiCZlupFbnxWIFYoEzk5VG8VOwVpBBVXk7KlaQWevqKVCEsQpOONZNaailpyToBuETF4blrNXINWSJcNJrMqCvTkAciEl/I4hR6+dqLNTjUJckom0sZc4u3BzIpExohoDKkGKS2g0RlZjatGZnzklZTgtemOKaoNE9kOR1ZhQksTZcyzKVRHZc6hJSl/lTg6Fdcp3ErKnSZtWVGNK8SQh+6iNqMaMRWniw+9MVT3G2cdYnVbERb2dR+1HtV1xdmOVELR9wPGhRPY2jxPD2a93qb8SdPYcim3tILADAJlGY5qS+Jl0AdlrJFgzCuuzpMkYPoM6ZmqVqpIakydjGpazj7k0cgCRU1WWn4Ipw2pk4RprStU5NrqolJUBBD4faXKqYZdZJlLaJGHNRyJn+XxmzGSVKCkUqlpQY3LOWmkSrjFS8oZXY3Iu0AiCVSmnpK1lOXsqVddaBdSjJKsxuSgF6RozBWP4aC+XUlGLAIg1Ehx/61JBVTCyGlNtw+p4pZYCGOGRUFJRVgX2Cb0nTHzaY8y51Sqz5KZUlHKBMGnDqzGl1oRq5FBYC5y9AqlWJagxlGAe09mniNaBInMDN41S47jm7ND2wQD2UQa1oXFYZVD15npIg8TZcyzW215WYzJN2nZFkMnGnFuj+SkYqXoziIawUZtWRHZtiiwIGoFcjLl0RpEQjFOqxip2Ckaq3igBSYCY4HidvcainJZkzZSDszyBSpSstUm4xkDkDc/Zp0yNsaJjPRU4zRr7EiVrnfSEDjk5w6sxMWVrDAtPmNUYy3P2ibK3pginmoisNZGDyxoznJYUHqLJGv55OeXktc2SfzxlWMOqMWNGp6voT00RnvezTxQa7aoQl5RYlQObxJoJUxay62POndEiYXIXltWkbQvuQsZMrdJVWOmXl1WjRGkoUzXuMc4eauMUyyo2DdTA6ezGQpRHP9D4sCL7yOrsOWyFZvwlFt/aC2pMTqOxrYQIA+XOGHkKWpGzU1BOnIIb64qsxljXshnUgUqrtVTfQQTjeJ09JTgHic/WmOB5NaamrJyROHvKkzMNW6kUKXrrosDZA5E3luXsY6bW2Cghe6zGYeReJSJrrHSNgWJjGhbZibJzOgoKT6FknGORPVBprc4CZ0+JnLWBU2NqzMoZKZ1LNFlBcAiUWutI4OwlZu0Nq8aMhI2FpN3XGGCbiXsx5NgYX5PI2bXT7K+caTIyYTosK24mp4vLKo3atizVGDNtrC0SZ8+TNR27rPaESYqhU7WOFzn3p1RBGY1H4jh71ygdOJ1dWyVc4wccH0pk9zT2K2RX3bbPcStx9lR868cLyE6TdZc4uzQFayTVuOHyFOTi3zFTZ+QpSMEKYeOYy8ZpibNneQpGgrfIousxwvPGthKz9iJnjxQaw2dQEyVnXRIwKOTUWBc5JjgRtcbKSkU1TrFqDCWyzsqcPTbWSZzdOZ7qAsiJjLOR5ey5tEZnyXhOZK2dOO5ZEylvkvT0omAcz9kDpUZG9hpJOcOGOyPVziopn19TUAJnjzk0tpWRvSqveM5+kTCNOW+kZRVI+UuESbsG3M8xL6ssqzHWtmyGZqDSGSPd1UzVCSLnPKZYGw/nFKvGdA1smFS3VBqqMscCwI86gsHTuNMrNabdDoiSzl5CaVp3WY0x7tIU3ForkIusnKyzU9CuBVcsN2TqrDwF8+Qtn0EdctkYLU1BSuIUjHSRs6f/n713h5Usycr9V0SsiNg7T1Vld3VPN7r/cXBAAiSkERLCAwwcjPHwkcZAGAiBBAYICwnxsMEAZyw0CGtsvMHERWNgjnT7znRWdVV1ndyPeP2N2I94rNh5qquvdEvVac3U6Tz5OLHX/uK3vvWF4UrO1E/D7JlCaMlSO7ZozGxmhWpu3IRma7Wk+5mjsz3i3PI1moCSk5XdWCOltI079OyMFop8RWudRGzSGGsR0VIFerJeI3cts7+xqk1jmMJWZbd2ROzJKjw60wnVajx647hCclLp6qAX7IDGcKVIb8yq2VuoyqPkpOvR2VEcCyZEEnIGY7mWR5pd9iTkvDrbo2w1IawdpWwLJmTNym7gWLOPM/SKYYvGKIbzCKcq+IRx1phefsvHO1nZ0U73dWXv7+7BP6Jcj8GH4KHT+kYHFXtgEKiL8OpcL5CmMZMRR0tw5Iq+Pgdn74Q6WoLYWoKhR2HaQBBVS7MHjazVQYXJME0b24JxTGOYGt4YN8mGujTWaKVbHdTJ2q5BYyZne5QHnL1V2a21UqJv7EsmO3eSpjHGOK2wRWOcMUIpkolPzndtzh7fD+l6DLPjGq2lRw+snVBpkuNN1nZSOmfIjlswjiskmxCDhV5CsLQzz8+TUB3ZQR3tpFEHZ0lV6Y0XSjQ4+yjiAUfUK16dO6GkAchsmUIbgiNf0U6iUdkHZ09CQvCBMlZZO0rZty6rE4oAwVOl1tqgJBta+12AYYZOASow1PXFOdz5weqKs3sIwa+BH+99boyw8z2Usw9MdVfu76iza/0cuGQn2R9xdjsI7LlkpGwfnLtDSask45hC11iCzgyoW0vQ9KjAt5bgoJpL0N8JAQD0EjRBSTZS16exEM+vJkc7gzFcNzj77JjiwBhQpW12k8Ke5OzGzhIVxOmh6jE520nV6qB2AjljZGahM0GqpmZHRMYYWdxnZzSqJo1Bzhk3pOXGWinRUJ9xtK5DwTgni7uxVks50ZrdMimE4A3uPwrsSSY+2lmj5Fxa0o4yW9Q0yIqcnSEPNB2ahGxq9g41Qxq1exNQCjJdIF5WDJmjvrrBuR4laSIIs2UKO8HJbDtvRqY70kwcaQxHTf5a60Yt6MsqboWF0I5sGJig1A0a00XNTtEYALgL0yxKX3+wnnFocc63ebyTlZ3b6Z46IuCK/EQFczvjheIneTrm7AI7jpzcOQ7OnaSit43HS9BOXPXkErzGJSgbS9COSp7oJWh9316CsbI3vDGgEIRsyPbJcN3i7J4rwZQkvX3GjlL1Lc0uUSnRkbJ9traTaqbK0+BMJ1A3ZHus7AMNVSwiCkV/xsnOHbZpjMQOVYMXG1R0B3W0vkMupCSBjDFWSUFrduOYQiWlIa2NdkTV6KA62wmJsiOlhp+dUIruoDroBXAlSCATzISa9rPPblZCMUkDGW88KiT97G8jmECKXtCc05lByFNjK2x6ITl25G7Y2vFAMPWCI3ZkW8ja0Cl+WNmhVyBV03vWh2kUFWe3ngkGcXbsG9ejcNPrSrMDwCDgRLpxZ88VP2F/g7NjxyUtLq6xsje8MUxhLwTpPfd25LJJY04COXakPca6scNTy89+sASdhU7TS9DYIJEh0igwGCM0nfW4eGOkJO0xxk1KavKOaOwsUUrUpPFxtKZXijSHxA6qQtoe40zQSjRpDMrW3WtyppMdTWOsl8iVkCSQccZKrcg3MzmvBRcSySaqMaaTskVjmBISadRu7SQVvduLHVREbUm1a5zUknY92tAjYxLJXxvMJFVHpguMdtJCM6lbml1qukURO6hCHgqmljFBYauyeztx3ZFZj6tgalxWduwUfVlFwSSxI1G7M0Eduh53zd6gnZ0d6mNmY2VfNPs3lZ3b6XV1YKkPYeSho1SVm7zQ/CT7Q84eKztviwt6CUZ7VnMJmpF3PbkEh20JNsRF19DssbK3lqA1oVOc5OyTWTU7iQuNERrJfWGkMUzLQA2mz3ZUR5pdStHN1MDkbG2vuhaN6VFqQfNiZ4LSgvzRotkb2//ZHXF2KYVGSVYoby0qaamdUOygCkRas1vbadnuoApE2l/v7Cj06cAbI7AjCXUwFjW917la6AUwKUjIE8wsdYvGTBoVkyrMlDCfvVTY5uw9b1T263JZHQsm8rIahL4jsx5XwaQ9dROyduiweVmdkKPoSNeZtdA3BFN8jAtnb9IY7cYrqzS78QxZy0/8No93srIzM31ZafbBDl3gMBJrPWr2O3k60uyLuGAtcXGn6M1vtGf1QpB/dW8n3liCVxsre08aH60dTuqgsrPWEnS2WdkjZ2/JijAb0bU4u180OylL3SR1Y1LJGCmVwo7U7JOzp7Y3Jmr2Bo3xWiHpZzfGSJRccvLuNVnTq3ZlR6GEItWuM0Z1iqYxzneCcyk9iaqM7aUkSV0sXlIiSWOsnaTuyBI8OaOFROzIYSU/O9nRn2Jw0CNwhZ56xTBPqqNdj5ObO6GZ0i0ao3SLxoxCaC6Zp+rd4NxdgynBfCiY7CS6U6uDulxWDcHUtyDnuhUm75fOhE6ygxTfYYaufXEBgLJT7egL1jPc/MTvfQeVmflVdbLi6/n1HaAfieFgN3uheI/d0LAYAoBz04Fmv1p3J/uWRGIKT03NPoi+tQTNCWWz1dNegoMLJ4xLkNbsJ01D/4WzI9Bmwtlgr0yLxkTOTtIYO2nV6qBGzU7bY6ZFszcre2sM1dvQ6SaNQYnYoDGzm0/qRL6isVGz09zfGauUbs2gahQCkTzQw1irVSMRzDiQBzRmlB2t2UdrNWJrAYTZqU4ddVCVIH9tMJPStDfmFmcPulM0jYmaXTVpzJ3qD2hM+7IaWX+i21dRMLU4uxtbgmlcKntPX1Y23Glx6HoMvWZSMXJSCZzjwV+rI8uD9UzwbzT78mB2+rKq7Pdm6JkMQ7Oyn2Q/HNAYMyzbRmrHPXp/UropLo62jSPv7w6b+F1Ds48n/ei41UPeaayBkwby+lw4e1uzy57W7HHIEKQkLe3GjbK7o/3sdpaoFOqZ+upma09a0zOo1sYOKk2959BpbPrZUbZadqOde6kbJdghCi1oQu2slbrherQLZ/f0DcOetDqkMaKh2UehaW/M5EwnImenKruxUmva9ehu0Jiuo2lMdD22ObtXWjc1O3attseBZo+Cqa3ZR9HdNS1n0ZhA0hg3neRdW7MziT3pJ3a3OqgRdTYvrmF0Ul+n8kfBJrkd7zlnD9YA49fqjKl7c3/HJanZI43p8dD16AYh6Ca+DSGE0MmePFMpXp+9EGO1BENwEAJXzUSw1RtTruwQnA/+hB0ZJD20xUXwEELoJY2GomanF18I4Bwq0XY90po9BG+9lVodanbCGxNCMN71qic5+xQ1O0ljAngXeiXJMa6Fs1OlJEAw3vaa3iUY45QUStDa01urOtn2s3MhJdlBddadVLuD2tbszk6yuyM7NCtnpzuo3jjdKXJSabDQI3ApPN1BnTtN57NPbuqEZrLherShUw1P0d6+oji7bUJOmG30xjQ5+6lJY07Y9saYoS2YQstyFjyEAHc3KvuR6zFcR6e7sfqGgvFMcmjkKr/N4x2s7GZiqqvDTe/N9SS6Bo0JQrEeu6ExFgSHSzBGCwhsLMF2B9WbiUvNNJJ69kCzxzSoXtDnoC6VneLs1gaBrBf0ElxpDNFBDbNhErVkR7kxivDGGDdLoYRE0kgXvTEKu1qzz85KIRQ2ObtuVHZnA0fWIZL57HsHtfqMxlnJUUnaz26skyg0qtqX7a1lQigl7YHrkeqgWuc45x3ypp9dCSmJtAPvDOPRZkpPKmlExL7ODgrWM860VHS6gAudYExh/WuDs4yxXokWZ9dCkZo9uAABtFLkCdeJYCoXpA0BADrVNzqojmn6sgreQQCmuoN0AS6JyyoKpjt5LJgIxmVtwPZltTx97aCSk0phGH3XjVXRD9YzKVpBoW/zeAcr+zwxqajKPjwSHUljFtej7B9Q2QnNHnOLWpU9TKa1bfR25NiBRLqD2vbGWDui7FuV/bq7HssL25mjJTjbIJEJpAIGjAElJTKas8+eKc4k4Wc3bpJCM0Vv8A84+2Rth1K2K3uPKKlQMGeCkKzHJo1BRCF57Y2ZnVFCItJTr9Z4lJykMc5agSiRG9Ib47wSjcpuLEpsVnbjWh1Ua0dEzbSgZ1CXDqp21U0o3oM1YsP1CCekaUwwM5OqRyBpzGxntXhjqtueCVwyjfqWZj+4rJqWM5KzeztyqZnCI8sZakIwuQmFPgl5y89OXFZC3qjsk1k7qLRmH4LurtW9L1Z2mL5+GkPnJv+//Ahm5krXsaD38/1J9n4k3C+Rs2vUs5t98JxR00x2FNj5I83eEBfGtexZ3gxcdg9YguUf/AFLkLXEhZDQC05OKhkLCiFIVv/WMBumlEK6lxNpDK3Z7SixY5KTJ28YaxQqibq23s/OKoEHlX3R7NV79VGzC7qyRz+7p2jMZGeNChEdGbO+avaaxsQ4MIn0mUqTdR0KIWUd92islYhaCPJ4jcXPbggaE4MeW0B8cz3WC9LPlsV5K+pbja5HclIpmIlJ3Qva/jG6SQvFFBEK5o3nimvR4OwxEezNt8JhtlxhLxy1FR45dqAOBRNFY6wZELuDrfApboWbmv3IGzPNQSsmecMbM4zQEzQGrAeFUTAxxsL7fKZSXIKiOnHw3lxP8o7uoE6eK86Adahbsj0uQVKz36AxSweV0zQGdWsJDgdL0I6HSzD0gkuKszsD6xJsJIK1OPtsQEkl6QPIohJkkuDsD9HsSnR1xGtEClIqQ2Y9OtsL1NSkkjNeSK4Fjm/I2Sc3KyElSnI2KlZ2RWp2YwSilPQ5qJHGcCSshEtlR97ooFomBXnDsHbCqAnISSVntUByUikYx5VozQFE1yP5a+NWuKnZ3awXzl7f9uKf45iz05fVCduCqT2p5O3I21/O4mcnt8JuOq7sC42pIKczcCCY4mOcDzX7MLJTP9Q0xnimERqJTG/zeFcruxZQAJmrGe70I1Kze+OF4gBwwiaQ2baN9SkBN8UFa3F2O3LZHyzBlvH2VmU/FBfLtrGRG9Pi7MYwKRUycgY14ixSs892VLGyNzm7ImdQjzX7YM3ieqy+gbg17sQRZ+dU8NlsTdTsB5NKSsjaGE0RigAAIABJREFU9eis5VK2NPu4zKBKV30QY6yUqDlr+Nmbk0pxNTJJf6sHM6jBWCZjKsNBbgxNY0DqXkBrBrVreGMWGtPoPD+gfUW7HqMMOSFx+IY3E5fxy6Evq27h7NVW2I4oul5gI589HGyFb3L20QR9wNmvIz91A0VjuPqGswNAFBdKaw5Tpdnv9GO6ssfCBNDLvhUds9mz6iSpRFw0luBivC3/6pGz3xIXBI0xdpDY5OyH4uIICE4mqJbrcY6cndxdrJqdyo2JByq1zA/GGCmbnF3jEY3pkE4X2Cr75InbV9wlNDR7xNNoSUBvnEShqUklZ6xAROTWEidoTEtuDJEuEDW7Qm49sc3eOHt9xre1E6JmUgTr63jF+EEaNMZxJaQQ1rv6NWPx4krU24tgJiaVFmA81B/ywM8eHbFSSBecrw63O3A9xsrOhQzeh+os0CWOiVNb4di+QgEAUK3zPbSDbl91knMAsNVb3YwJ9fxXXHKSM1gbv/VjMtBJJluux3EUd5Rmt54UTG//eDcru9RasKIrdTXXR93jMDU5OwD02LUCBpwdhDyxtrhoLsG28TZ6Y0BwAHoJNmmMG1F0kvMQmktQoK6XYBQXrSUYZ1DJSaUwG6YkZ8BY/U6XDipIAsNHGgOcMQah2qsmrseKs1urEDnjjDFXvaHR2V5I2htjgkDGGROMmyoJcqMx9R16KU+Mcc5d9ceKfnaFkvLGGCGRMSY4qxn9QbpAfDMMQDBmqq91dz1WddbZSaAGBkzy2k66emNoGsOkYMCkINLto+uRKcKsFczMpAaATkB9rNKBNyZqdgBQgrAV3dTsAECuZDAWlDhhUzAB0K3gRLPTlxUAnJCQ7Utll03NDgAHsv1GusA44UnRml3jN352gMX1qHW1/u7N9a4/B7KDOnmhH0RjBA0EfS84NJbgDSB4uARb9qxIYwCAlO2HTXwQEqCxBI0DKdqcXUoAWkDsmp2gMZNCvX7GurI3E8EiLAYAUrYv6QJUeYoCCgBIILNWdsIbE8Nvl1ckup1OtrwxxgpEAJBS1PaY0blOCC5Jzu4kCgDokNeHXAfjQAlJ0Rhrh1iDyJUz2qZmX/ypAFoQ9piD3Jio2QGABDI3NTsAdEKP1c7M2YEjnRuTVHbqg8yWKUkG7S2CCYB0ne25MYTuWS6rjuNYxUofmImdAYEAAAdN1HEOWrbHAIdJPqJdj7zb4pje73SB2OqpOfu9uT4+fdCgMYErBgC97FrDSg8TFxRqX2dQ6Sa+7ACaS7AVJH2jstsQc2PqkYpEXBBLcDZBSSaorMdgDFMSAKRgpnriMk+hiBlU40YZaxDVRJ2XFF9dd1CjZodGZZ8WbwzBi531YiklhD3moIM6O6OEAgASbVvjpEQl1Ey8ouVSQqzsRJ1dNXv95RgjJQKA4qyu7BA1u0S6gxrvlxTKi6cMotC2nqmZ7VLZqQDkPTem7qCumr1Hdq22OztnrxLBEs1ODAzHQygbHdRFMHHK+JgMALY1O/Xl3DQmwC3BRBgT7CImWpo9BLAOlAQuAADqMwXCOMo7Hc9Kzf7deNZ9Q2MAYJ1UqveM9+Z6uqMre2zfA0B/u4NKjFRslZ1cLtsSbNiz1uuzMj7epDHQWIJX5/tGbsymZ8kluM2gEmlZm2ZHwh6zzKBS3pjZjnL5jITx8WGanQhMj+kCisqN2T8jZWmPiWCtyq6FBACURGWPKb5kPru3q2anmqjT3kGt34yViACgkdfGx3gOKjmDGgcaIGr2ipxM1mhB58bEo/IAoKNuiod+9omrWNkJe8xKY4gZ1E2za9T1sNJXF0xHA4CLYDqq7LKrT1M4vqwWwdTuoAI07TGjAS0hjsWT0TFhGFnXdZIVsj0Yz7T8hsYArNvGurJfzfWRfsKEIDaMk+eRxhx1UIfWSMVXX4KpuGhp9regMW8KBA/SBcJsmI6kgmiieuO4FKAUpdknKTYaU8Nro1AdcHZYNHv5J4sdVE0dhbqJRFqzOytQ0B1UO2tU0NglRHIiSeFpTKzsiKI+CnVuc/Z4vDUAdIKiMXNzUsnZSQgFAECZjiZnl3SBesxypzEEVtpzY2jO3qQxCWenXY8AQBofd8FUFbvtskLK+HgIOacomECKegz1GnNjqDERY4cbl1UjxTcREw1vwhy0WvJOBHl9DRP0XadhyL+hYD07qW80O8C6bewqGvPaXO/kielTHTDgpod0UEd+W1wQ9pg9SLq2Z9mRyx4AQIpaCT+QxpCtnlMTCIYFCCIfiH5mkDHrsV5IZtPshPEx0hiSsxu7VHZy/uV4BlUv8JrQ7GM7Nybj7KRml5Ij0UGdNs1O0Zgln10Q+ezOWiFXzl73S6zvl9wYalIpPpGzOjrmwPWYava6eE12TfElaIxjKtIY4qsbXegE41J4mrNrADgh1AEDs5vUkuL7VTqoQhFtj+PL6ghypoJpqu9eh6PdX1EwAS6cna7so4FujXGUZBN1HFnfnRQbSs3uds7+jWaPlb3W7Hey592pbqK6eemg9ti3gnzX0/Kak0pw1OrBE7a9Me1t40Oa+G+8BG/QGIaSWTI3Rt2gMY3cmEktXWLCxbFUdpLGWKNudlBJ16MNAtuafeXstkJDs50POPsyqUSlSzpj+dJ65XNdZ53TQnDE+hxUa9xCYwSfqA5qKxHMuUnEnZAiXNuTMx1Ksp+/7K4amv26pfgSrsdds7e9MUcdVFKzL8bfw8uqATkta5yWt7evFNa3vVjZBXXsgXPTEY25lS4AAKdWZZ+DlotmR0nSmIl1utNQ2GOCDeyk6PnAt3u8i5V9ZlJ1IjvE2QVnnNWoWXeqUbtb/eytIN/gLQBwLknNfs0qe/50HyAEEPzIeAvEEnQhuOA1F8etno6XS9CF4AIoTgPBhLOXHdQQwHkQgp5U2jQ7QWMCBBsYNnJj7Cj3GuSK5zlnBSLdQXWrZq8qewAw3unWpNLs42ekf+ocChSS05odac0eAKz1iJz2s1uLq2YnaEzMjWn52WWs7JRmN2sHlciN2TqoVF/aWbXMoNY0xrL4ihRnHx10ApgkXY/T2kGlOLudNTZcj/Oi2bXQY4Ozk6flPUQwkQJlozHksX8HW+HbNKY9ACjaxgQAmAzo9SggqSgaM06s173KaEw8Ko8p9c2kEgBAsIah7BDG5E9zNUMvOwaM0OwBgg1rB5X2xsT1BwC8Mam0uh5LIBjXHwCQZyrtHdRqCUbBDgBcdu5NOHvcUANAK+uxxdlnC1IAgzZnb2j2YB1DDox2RM5uWjqolWY3xqBABkxSR7ZO1qq9g5ppvclZyQUDaE8qcQCo4x6ttZxzxlijg7po9vpe4qwTnDHGyJM3vDGLNwZL1+PsPHLOGbQ4+6bZC84eQxmBs2YHddkJlVXYeseACU5v2nYaI7A45Np4YADIgVE0BuYZlAKAHtmQXwIuOAAQTDQ1u4odVFVEx4TgQvCcS/LkjaPKHgUT3tDs9VbYheBDULcEU31Z+QAmhEUw1ZAz7aDSnH2nMaSlPQwD67peZR3UxXK2iqlvcmPmuoN6Ndc7eQIA3p38lNVuN3uOLPatO+xqyy1klf3mSEX+VzcWJAIATWPs1FqC0XULABx1qDl7u4m/ecWONfupWoLGBoUMIHJ2egYVAOq4x2VMKVaZWpZuHdRKsxtrZOxYUpz9QLPH0BhoqXLb7KDGODAAOJhBBUqzG+tlG2I4m/jZ85oYjTEAcJAIBgBKsNIbE4cLAPBgUonS7JuniMxn32kMlh8ktk8BgFP7gF2zVx3UrfPccD36VbOXnD0TTG3XI8oyjjgXTMdb4aZgIo0JEntoXFYd5+zWZdUL+rSy0YRu7aDKmsY4Bz6Akp2CNBRsPzj+G80Om2YvK/twwh4AmC41u58XYwwA9NiN5MHkN5ZgU1w8eAmKegn2S2Wn7FltcXFNKnsNBLdWT1ctwdlG3AIoGXGaxWxYw/Xo58Vu0ch6nBY/e63ZrYl1ttVB3bwxc64Ex/X6PEgXgEZlj14UWrNboxo0JrZPodUGNGsHtXI9xgFUAGhw9gXjaM4Kzr6JaykPNXt1v4yhMQCAh5NKXeVnjwOosDgp25y9ojERsgMA6Xp0JkTOrirOfiyYrs4unF00BdObavbksqKMCQ8RTDSNudFBnQzoVLPnay9CdgDoKM3OUAQqj+gtH+9iZZ8Zlpr93gynTbPnlX2LFgCA1lGo2xIkZxcH509frbJvS5CiMf0mLghvzIJZ33QJpuLiWlV2hQAAgkrLSjR7ydmDcXG7TXtj3BhnULksvTHGzkpG+kElglkbFbREWQS5jNZ22ITFvt1BtSsQJ3sJW4WiNPsyLNqYjWpq9ni8NQAc5MYAQIflxM0GxMkZ1EyzNyo7qdm3BVlvPq429MgAgEk88MbUmj0aYyBqdrqDunD2wlYU81PhtmAqQ/EeIJg0AIAq8+uzy+pNIOd2WUnsj1yPzQ7qXtlrP3sYRtZ3ANAVnH2hMatmf8+9MWAN1JrdLjSGdaeQux43yyMA9LIjO6hbZWe3lmDZQV331DeMtwqbS5A+IiAVF8We2veRs1NAMJ9BLRR0lEFAe2PMqtklm01FY6Jmp7aNm+ux5gbGGozSW3Rz9VYnt2h2JVVTs99MF3BFgTYrjWmevAEU/7HWIUbNTnhjvLW84WffNPuxn12JQ81On7yxaoL8pxuNITV7RmPsG9GYr6jZ/dr20KLk7Lcgp28ZE24LpsaXk26FKc5+LJjWy+qrdFB3GlMH+YZxZL0GgF5BptmtZ8gZYqCyJ9/y8e5V9khjtIDUG3M1w0n2QHH2gsYM5JledhDYA8DSxM//dnllfwNx4cywbxtbS5A23i5N/BOWh2+MLjyQsxdLcN45O6XZzSLpiQ6qcWzT7FWQtEk7qBVnXzQ7ydntWqFEWWe34tXwszfTBTYaQ3bCN158SGMak0p7B5Xm7CSNMcYquboeHV3ZEdG6slpsNaiWpeOm2YVyzhQyL8+NadAYjBGSkD9x0+xl8dorO8rgbJE9mcygVjTGTUtlR+ZdaF5WsppUWgWT5tyG4IpXPGxfxcuKCQneh3zM/5DGhFOkahwBwOepMvGoMjikMWo9xKimMTBOsNOY/Z+DcUxyQAHOQwjAWJ3r+ZUf72BlNzOTSgs2FZw9TnboPlQd1ITG0K7HTVwAA8ZZkQ571MRfGYfm3IRQ5KaGtj1rcKYXEgC4UFBFSD6EswsuQwjFErTrEuyqJbiW7jXaIl+fYZ5Zi8Zsml0Qz5zdpPbcGJqzcy4AwPuiJm6avZxB3TQ7Z4wzZvNXfAhnZwwYK/+Om2anO6jxwmacM26LC3unMdzkn3G0rkMBAIwxxrl3xb1t88aUuTFbCWYAQvAiQjLZRFYdVLv0gRnjnGNxYF4yqVRpdrtodmDAkBds189TS7OPdop3RGCstsdsk0pa6LKDaq5RMAEl2/fLquLsm2ACAM3LjlG+FaYrOwDUZ8cf05hI1Zb3U24+lqC9E9LpAqlmp2jM1KQxMYsYyz7c2z/ewcpu57qDem+uS2WvXI9b0CMAdI1DrmO0QPzfQnJvG0uw5uwrLQWAjvOxrEHrDKoqZ1DTJchQhby0xSMC4BAIAgC2lyDtelxlBSHbZxNNb7Rmj5UdoI6OiaflAa3Z5+iNAUq2z/bIG9OtX45CLCrUXtkp12Os7EA1UY+8MatmB6omHnVQV80OlD3GmJXGVDOoWwkGgNr4mPnZC87ujF4/I2JXoPbdz15x9hgHFh/1wPCeCCbKGdR4oFL837WlfdPsiqQxcqvs5Z/jIYIJqN2wNwNfBnTrrbA5iQV4s6qJelzZT9tlVe2GN8hZX+PxkXVQCRqzdFBp12O8rL5uIPMuVnZTd1CvZlhcj7onXI9ZB/VQs1PdnsG5pUvW7qACQH3+y9bqYUoWS/CaiYuy22Pd8n5uVPZ6Ca6avR6W21yPEKMtSmvjmvVYpQv41fUIAKBLe0zqevQNzQ4Uat/TBapEsLSy6+qQ60Szy+LAvPQV68oej2kG6l6ydVCBAjIbZz/wxgCF2vdJJRSTLSrprgmoyj6KPRu5eMWl8wzUgkw4ewmyYuJV/N91TdxTfLFyPbop0hhYUHtLs5fHKqWXVT2slIyJHAkmqrJvM6jNDipE1F5fVuKGMQEA6vGLzJhAJoLN0CWTSuWxSjuNyWZQg10qOyCCse97BzWYpYOa0pjBDj3SNMYnNKbDbnJzCfzKyk4swdPiIK7FhYNVeXWcWoJIL8GxWIJvsm3MxEWpkppN/FSzY20KNM2sx7AWC4jiwtCVnVc5U2mdre0xcZASHqLZi6ESG/iBNwa3b/UNNPvWQQVqSn7j7CiFLevsXtnriHZ7QGNSzV41Ud3ueiw5XowWiP+7PnwjmVQ60uz1DSOYmanVG1N0UNdUBjjU7ARnLy6r+cFb4UQwEZV9g5yVWauiMYVmH7DtZ+8TGlN4Ew6MCfExmaBX2VRPKmWa3aSafSVy8utvor57lR2sYbJJY45dj5wxJWQra3T5byrNfj0QF7M5EhftVs+1WIKm2ja2Wz2b8qqNj9Y089mTDS4gQrGQEs1OuB53zV5Z2o2d9hTftmaXQheaPans5Qzq5noEAI2ypdnrJmFBY4o79DaDWlf2OaExtWZ37RTfMeWztWY3+wxqmS6wNgnJ92PtLBrzX5vrEWJlN4XadazhjRlXbwyQ8W1JIlil2WeNG4054uyHlb3saScd1FNpOZvtJpioyyo50KYNOUWt2Y8EU3JZVVvh5OQN+oThMUkXqHNjwjiybuHsY6rZVxpDJ6y+3ePdq+wNP/vqeqw7qNPujYHFHlNPD6/i+rjVU7seZ3cIBJN0gYY3BqgbhnW3jbewSLZ8CbY1u0kqOzHI0856DLPf1GWtkmY3qu30n2POnt9Qpwdy9qp83/DGbN+q5CWNWe8liFjSGLPTmA7VmN9pdhojy0SwjMbUnH2lMQeuR6BpzICtDupqHIK4cvJNm58tl/T47tXe0uySThfIaUyp2fMUX9r1CPRl5Y80+y6YykSmLBHsmMbUW+FVMF3zBXDN2lcEZz/2s88m87OXk0rjNqkEA83ZMRj73ntjlhnULBFs2FyP+uSncgZVrG1raBy+sbkegebsyRIsxqBNxtkJcbEvQTpdABYgmP3ah4xUAGVptwaw2UHdOTtik7NXA9tZB7W2tFs342J25rWffefs2BUd1OPKrvmm2Q84Ow4l1zZSJpy9qFCJ67Hwoljr5FqgpZDGNTuottTsTovly6E5+0M6qASNaXdQC81edlCbmn33xlBmraN0gdX1CLRm30/emMs7YiqYiPZVu4N6KJh2GnMkmOoZwAcLpvKycrfOQR3nxM9en7yxcvZesdHsLDj62eNLlpvot368s5U9TwS7N9fTMqnUh7F2PYrt/3aoSc3eEhdrxtB2rNeBuMiXYPDgPY9Vr228hWoJhuC9t7FcEkvQ+h63JdhnAQMBvAtCNDW7bGn2eNhXHNWpOXvSQS00e4Bg3CyXz9h0PcKi2cfkiWAOaIyzPSaaPV304aGcneigppNKpbhOvDFCjmUnMKEx+WecrO+OOPuC7+tzULdj7YDS7JsTnNLsJu2gWmLGp8nZT5tmr4aVDiaVZmcONHvWQXWFxevI9TgeW852wYTXvLJnYyLHl1VFYw5yY5IOal/RmBuafTKg1++2zmffNDvngHxXTrtmkgjGfq2S/V2s7HQi2JYbU3VQp8D1rtlPkohoP+Dsm7IAUlwY1wKC3k5sZRE3jLf5GKpz8TyduJJuiIs0odvFksfimymb+DlnzzV7rPqMAUX8fNJBBZlxdusMcmSMA4Vu8w5qptmNs4JztrziEY0pjlVyLjARnwdddVqesaZV2a230asOtOvRbx1UhSrl7N45BsB4zK6qOLtNXI+5ZnfeMwDOOQAozsfSG+O24lWEgvklUzpm9ZS9922vAwCYR7QHHwCAiaigKW/MumkrD9/wLgTPRJy5qxPBlnQBqDR78AECMLFx9iaNKf4cPgQbguYcAIQ4Ekxd4WcPPnjH472Nuqy69WotaEwUTEJIaAmmhuUsuhw5BzjuoG6cvV3ZAaDXbJiWn+405v/CGOq7Vtm9BwjARZOzCwTGQlIp3ORyzU6Egh1o9rSy18d6hdkkTfzsfr7TQEp55eIiy83YaCA8pIOabBu39inQ6QJB7q7H7FilLVoAaM7uWpx9O94a6ESwnbMXEe3bACoASFkq6BQlF5rdm2XOO345D9fsOcSoOHum2TPt6awVcrs/UVmPDdfjFgcGyzmohzQmfWKyGql0gV2zF372bMCH9MbsNCZbkJuZHeh0galD2s++CXYgPUVHl1Xaee5cET4x200D14KJo466pxGhKtdX7CrBpA8E0wkTzp68n02ww3JaXqODuv43RNbjSmMAQMs97nGnMf8X4h7fscoeUQwAFJV9sAtnhyjbE3vMdqBSfJBjqN6OLc5eanZXafYGjUkhY32s18G20boR1zfzRn52u44pAbUEU81eBmatcWDQojEy8cYkS3AzxkAzxZd2PcaTPNcfybkxgwq1Zk8us4MUXwDgmE2cbSgGDhPBYHHjJJrdLD1JaPjZu8ak0rxCdognbxx2UNP3s0F2oL7VMbtFZQsg7YjQnH2nMVlN3Mzs8IacfYPscLuyv8FWOPWzF+2rVDDV56CWW+FkyW29K3hDb8xmeYTGmUrGguCwrgJAyZwLId1mDFPMjYEYMGAqzf5NBzUaYwBAVzSm30pzlzVR0xlUAOjfkLNnRtd6CU5N4+12VB4AcabSrSW4CqhbQDDl7M4ElM0laHI/u818tbtml1gm9QZzoNkXMzvQJ2/MWz9Tim5OvrrteGsgJ5US16PKqYIz/riyNzV7Up4kytJlmLkesyBfZ43YbkLVmUqjc7ufPY+OsSap7JxVWY8u4+wm1eyT2HZCZAd198ZkNMYn7F5jefJGqtkLGhPmxcwOAD2ya+mNSSq7yiLaU82uqkNLcsGU+dnTys6x94TlbIec1wPBdGAmzmnMFhoDbyiYMs1OVfbUzA4AwKrra3U9whIKtv67catmf+9dj7lmX747F5z1Tq8bf6azJmpV2UlvTAEEH7oE01ZPUdldsac+4uxdSWO+omZPaQwxqfQwzV6dvNH2xjxcsyvsTLLdSWHxG3ljnA2bSOyqY4MOacz8UM2ec4zNGAPkyRspZ5fosi9nsTxCpDFVBzXxswuTfcYR2xwv3e5Umt1zlX6KAiXnrsdSs29iop5UmlTDz55r9iPOXgimq3OnA82eTyqNDcH0Rh3UVLPXQXtD4XosISesb4as7LuZPT6K6JiUs6fRMcGsiUzfeGO2Dn6XJIJtR+XF/8t0FvdYVXbSzz7kTfwHd1DbAReZuNCVuLCmtQTNDc7eXILH4iJzPUpIS+JmeYSo2YsOahLPUGj2zcwOVA3azlSCKjdms5YDgDr0xhS+7HRfot+kgzo7s937KT+7l1uFwmxKfjPGAAAit9VpeXq9JQgp04h2k9AYxfmUBzqGee+gKilzzl7RmOSZk91nUAvNnhZEJdA4m45bZ5xd1Zx9+XI6hDkPgjzws2eaXUjjTfqKD6YxyjuT8ouDdIH0dwIK8B58+mtTM3GTxmguTPBpft+RZrewXVaKMxegyJ4czX5UXnyUoWDDztnTwze2dAHytLK3fLxjlX0zbKecfTPGxAfv+lDQGLV/zI46fONgDPp6vATbY9AZENyCOtfHA2kMtQQfBATrJTibPBEsEeZhXsaU4jsNeZ7jkjW6/N7MG7PFgQEAEwzCYs9Yfzo3OXui2aN7xPt0n2SSdIGCeu+lBBlneRKkNTtnLz5jihTiWanpKxa5MblmNxtn54wxzlxyyxxscwbVmF2zcwaCMZPeaxPGhRJtRmOWeBMAAMaYYCF5Yt5B7VPXY+pi4owJLkyyIEcbut0bg6mRKdXsDKDLZfvk5i7zxqSVfdfsDBjybHy3Ekz0VhiAcaF8yuhzwZTRGDNsggliInHy1R1o9lQwwZIFsj/xerAVTowJAFBM0gDANAclWfovqJhZDTAQQjCGraq+y2hMkhtj3+/cmKKDGr+Ha9I+hSXuMdHseQe1Q33LG9MUF+sSzFRScwluWaPxmfn+d/QuX4L7G7Zucd2uvzaT7YdAcO+gAkCXBwxkrsfikOtEs0PVl8pmUPPcmO20nfWnGWov/ewuq+ybZofK0j4626+fpNbsQqaXWSbbjTWbHeXAGwMVAioTwWwKHHZvDFRN1MntfvbiWKVUswNAhyK1x6SaoPCzOzttNAYq5pC7HlXmjUmkLsSvLvmMVwenB2h2qOwJ24QXQHmsUvXnyIBMBjlV9ufIL6tyN5ya/YsZ1C2xY/2Q2R7zFuTc12oBZLaTN6CaQd3mupP3k880mD0OLD5SS3uYZiZltBQDQCcTzZ7mxrzniWBbB5UzkHxx+g7rUXnxwVUS9xggJGQWop/9TTqoY7kEc+NjmvV4oNmhnITOaAw2gSBU4uIWEGwuQWN3ZVFqdpMcHACgkE1p/2dOOHuh2ZMOKlSoPacxGWef3VGdLTqoBWcX2KzsmTcm/ztObufsEFF7KpONw/UzdqgyzZ7QGKhQe5YIhtInnyKF/lCh9oN0gS1aYH3J7E5bTSqlOmP/nRCPQk1XTsbZs+1/MOOm2aEKGNjydiBq9pnW7FA1UdNw7JqzV5U96WDNdpvWPwksL6tMMGF6i8ovq2wr7NyUfquVYAqtGVSbAEBoVHaN6T+A1AmNGSfo9zecavadc37TQQ1m0eyQ2LO2OLD4YN0+rOQmz9VG4AEAOnHLG6MyzU4twVxcrDWxK8XFmG0b80nowdnT7s9rAkGoxMXRtvFQXNzQ7IksLQIG0kSw0htjR4nHlX3roOq5QWOgruy567HyxiQ7sKqyNzm7NVt5gmiib2r2whuTV3bkJinQo3WJ6zG7W6Q0BqozxzNvjCwrEnyeAAAgAElEQVS9MZitHBGm9F6SuR7T1ejTe3BlfExzY4qxsjBnmr0wPo5uyvPZ6Q4qAGihxoZmP9wKl4lMlWZPxkTseubB8uVkG5pDGjMcb4VPjTgmZyHZXpKVPWiV0RipuFmJbto+heiNWf8m+xpYOqhfp2h/1yq73ZfgNlJRcvYkot1NLoXsANDLnqYx69otjtAckiY+xJO90oyXJLHvJEQ+qZS4Hm8swWJSaUiB4CGN0YU9KxUXp6qyJ67HrIMKZvfGQNTlSWX38+64KGZQZzuptAaVNKZIBKNdj1BZ2g8re0ljhoZMrjl7h3vxKuwxhZ89LYhbhO/6xMz4ODrfbR3U3PVY0JhDzZ4Rnu146/goNEE6xlXkxgRjeVrZ84bBkNKYclJpyjV7ztltkc9Od1CBGPI6GgA8HQsmvQm4aiucfDnF/EUumHLImQumXuA1uazSzM6CxtjqsirOjh+TOLDlNyQd1KKydyqZQV3XAJMYvplU2ljyFlRbcna9d1Dd5IUW6W9o5MYMYuU5h60eECIbVgqTaXZQ7cCT+029BB8yqQTEEkw7qH0xqYS5uEgDBkzb9RiMZRlKzoyP2ZlKKuPs6QwqHGp2idkMalqeIHJ2k2p2061/5eKQ65ucPTt5Y06RgilpTNbt3L0xSsisPJkl6HF5q20aU0wqlZVdZAEDqSwt3kxBY4pvdbSz3rvEeUFMEguguimm6QLlpJI1hWZPj1Wa3LzPoKojzd6hzm1F00NGuyFq9oZgItpXaRNCllvhVj77sWC6Zpq9zyxnOQAk8rFN0LLQ7AlnHyfQNI3JU3zde83ZYzh7/J+ZZk84O9N7B7VonwJAj6Rmb2Y9phoZDq+lqok/lkuw2eo5ojFHS7DtegSAXrDRpzgidT3mNGaaU0duMYaaJoIVmr3g7MUevzhTqeygJlVPySZnLyZutjiw5TOizGiMOfKz61yzt2iMFipz41gjZHoTKjuordyYNF0AiA5qxtlnk+48Jix678m9ZE6az4Vm97PjGWfP4ogzGlNOKo1MJUsuj2jPOXvmenSzTzV7kSFxeFlVkDM1JiSCqWxf5ZDzUDD1B4LpJOSQbWgOvTGHnL3W7JnrsdLsyQyq23NjjPlaC/u7Vtk3bwxEb5YDALjmnJ3r3meavajspWYPwQXvuaA7b8QS3MSFD+A9YEpjmt6YdAn6EEzwiq8GtfZIBeRL0AeY/V5KDlyPkC/BJcyxNYNacfb9Ygkx3WLV7Dr3sxecPaExAUKZCJa81clWmn2tQQFg8k7zjXrnHdRDzW5dXtkbrkeoxlDTM5UUlpo988bkmn08nlTKvDFZ3GOqCaQsNHtWgwrOPmZnKjXTBaCKtj+kMRVnzzR7ytmLSaWQ0s6Kszddj1frSsGUaPZCMB0YE4oNzdEM6qFgOjATV5q9zNqbKBqTeGMqzr5p9u3seCXf+w5qUtlbnJ11fZiWPwxV2UtvTDb78BBxsT49TaQDYgkOXNId1MHZjottsRyMQUO+BEfvO863J2Ie4lpp9r2yx93t9rNyBjXn7OmwUrCOYdKCrmdQReHsXL4BZ60QyFazFzGpVHZQ5+1Hkgu+ucRyg8dBZXfO8TU/EgB43i+ZrVFI0xjnPGNs+161UPOBNybR7MYHwUCsTywnlYzd9gFQHKvkPDAG6xOLdIEDzu68BwDkG9nXeWXPFmSHctvuxFq0cqNYEPMZ1GRDc8IdOLjgfAjbKzLVhTnp2VYd1I3GVIIpg2PlZSUTy1kumBqJYOsHkbhJDR+CTQVTHqF6wNlLwVRaziBZOHDCagaQojE7Z09CYyBy9vVHfptpEAKce79zY5xhovTGFJy90Ow876B21QxqVdlvafbt6WY/0wvoVg/tSk73jFAtQZNj1nQJFmiIaPUk4uKEu7hIUQwczqBCHjCwy4rlU5S5MapBhOdkTAmoSaWu4Y1J26dQux5zb4wWOK4/TbcIsJyWl2r23SwIS3CuWZ/oshJczKAm6QKQa/bROp08kdcd1ETspx3Uwp4oJaaEp3Bep9/qWH6KLMa50Oxa7K3gazKACgBcFZNKe24M5B3UyWZ7nVqzpzSmw/3AvOL+JIg4JtobUwum9OD4AzNxnBHZBVNhTDgUTLoUTNllJdpmYgAY5xs0BrobnJ0JEdz7ztn3LuHmui01e5IbQ2n2MsX3zTS7zJdgUhDLJViMVCRB20MyiQPLyRuZuJAZENyX4NXmlV2WHdR0UinT7PuQKQCAwIrGKJrGpHFgADVnLzqoO40x1qhEBqr8HNTKG7OHgg15Zb/hjUkCBgr/uMiJUwqLIacxJokDg+ocVG8NR5rGpKExUE8qmZzGJK7HkNsTZXKbgTzFF/KdUBotAHWSeMnZd2/MYPdjN6CmMXPujUlcj2n7FIh0gdzPLtTG2VMUA8tllXtjMK3sOhdM+3utsh6Hlpm4FEyV6zGHnPtlVQqmisYce2PqSaXSG0N1UIP1jAGLNxQU39AYw8QG4BZlMZTemD03xlcd1A670U5ZuoUZRCr581381R7SmIcvwWTbWC3BvNWTN9D6fAluKdJAdVBbnH3KLhbA4iS5eYbMG7MvszQ0BgjOvmdFQd6XKxS0FF2e4ptpz0yz26KyFx7EJo1J26dQafbUUgJxoL9R2YszlWyh2RMaM7r9fCsAEFh5Y9KJUBSbNyYYm2t2Wc6gNnZCxSQtkRuT+dn3m2JqjAFiUmlqafZqzDh3Pc6F61FvX10pmFQzjgkABJ5ywdSGnIVgStDhkMx1AwBH7UxTMPW5YDqVW+EEclacnfCzY0VjpqSyZ5x9mUHd48AAABHyc6Pe/vGuVXZndxqDywx04Y3h6aTS6IrKzhlTQuberFqzH9CY5Jz1xJsFN5dgsm0kaEzqjam2jdd9T73PQAPZQW2IizTCF8gUX5Xoa8nmrH2fa/aseI2tGdTZZDRGYXes2ed1j5/GgcEt12N6+EYaBwZkIliu2bd7iUkOQYX6TKV6UinV7Jhr9gM/uyhoTPo7y5M3sCFLR2fSznOp2Y3jqesxuUVVNEaUNKYxqVR0nqt0AV90ULd0gVowPdCYcKuy55Azydob88ouyjGRBwumksZknL12PY511mM6gzplNCZuVKzLw7G/OVMJXEJjdm9M7WdPaYwofkcnMtRebBtFlfWYbxsTzZ54s+Cm6zG5Pq/OnrIalJl5bcXZkyUYTvm2schnbxlvZ5vJivKM0KlIF0hoTGp5jJx92i9s4yaJOY2Zd82ukmJR5sbkfvbU9Vj86OakUpPGIHeJh6F2PeaaPSuIc54IlqcL7Ex8tC6lMSVnN4Vm3zuoBWeP00/b36OoQSnHm6xNaYwQyrl5o7MlZ0+az2m0AMQgLbtH1Pm5nFTaItrHZEwJABjKYM3+RONZsq40qoSz54JJMO/2rfLRaHeSbwwAmnMbgttfsTITJzTmlKwcJiR4H/zy1R342VNjDAAIoXzwIaxPvOV6nCtvjEo1e95BBQAt2WTCbmYHABRg32/OHpzdaczmjbHNGVQ7eezKz9jLDLUXlb3ILDxagsalBVFz7pIl6GoguHdQzSlhEdUSbNqzSnM9l7AemwmHS7DQ7PFQxy3rsNDsmTcmr0EQv4r1BlZt1UXK2VPNHk/1dOtbpTj7vH05KY3hjAnOt8zCg3SBNDQGABgHxpjf7m35pFKu2X2q2eNxqXZ9q+lpeQAgJd8OuZ6SAVQAYIwxzv3e0c00e5+4HosSzBgTgu9enZqz7z3bjCkxxjmXdrOj1LkxlubsMZgx7O9n4imNEWzvoLrsjgiMpU3UyvWo572yZ5cVsEy2H3hj0gHU5YMkLYqqgypgojU75MNK1lXemGwrnFWJVLbfdD2Oc+WN0U3ODitqz/5YsbK/z+kC6daopdmBCyZEXHxuLDk7VPaY4kKCvIlKjEE3to1QLEE7iZLG7Jr9aAnmduY0N6booAKAENrtPauyg5p4YyB/p7lsn/N0gYyz5zQGgGm1ofY0xRdyGpNGC8RHKtvr3JgtXWByrsu/nBTIlDQG5bAXaJNOBhWfsfbGJJrdyvwzpjM+5Qwqpt6YPehxfUW5RceUml00NTvEXYvZblEVjVlXzuRsJ7Kqh0nv0c9F1mPSQc1pDCxAZvm16Wl5AHBKJpVmN2uRFaa0iVq5Hvesx7KyR+PjwWWVCqb8z5ECmUowyR1V+cyYAHnAwMFllYbGxAcm4xdlukDlepxslc+umZn23JiUxsBW2RPNvnhjvtbHO1bZc82+eWOuKWeHJGDATU50JY0p7DHODFVl38VFqdkLcZHXy16I3SRbd1Ab20YolmDbnlUAQcjFxcESTI+3Xp6YoPba9bgdch1MZrcAyFB7OYOafG8mdz0CgMZ+OzBvtEZnM6h7usBgTZ8/MT0wr6jsuq3ZoajsBzTG+tT1CLk9xhlTuh5XGpMOoK6vuAMZY0yeG5N0UKuVk76fagaVtzqoAIByj3sM1vG8g7r52a95BxWWG8bW0Z1YokJ63NMF0mM31veTVvbS9TjahLPnl5U40OxJ1uONy6oUTCJMB4Jpd50dbIVrwSQPNXtZ2eegysrO93z2cWRFZZdsNCEzMn2Tz55VdgGDgwBhtFNqzAIArk9+HKCh2ftas8tSXBxp9r2DmjOOPHHU2xwIatyXoL2xBEW71VMvwZa46JMOaj0mlw0rVZo9pzHZKzIlt9O6Zzs2/ezGFJodhd6CfGdrWym+hZ8dALp2Ze+SMUtjsg4qLNEx664ldz1WnD2r7Br3Hru3zXz20TpdaHbcx1CNzfB91/azwxIwsFX2rCYyjQeVXSTTakVN7FAm3picxuSQp+ignhJvzGgnjYVm34N8K9ejzDh7eVntZ9oMbs/IhDwcu67sadZe5XrcpzcngsZ03mxb4ZKzXw8EU2KPqTqohOuxoDGcA+OLqgjTXFZ2BcMEBGf/Wh/vWGXPaAzCYGGysxQoWE4Muk2ze1FzduyuJnU11TQm0eyl6zFZglMtLniyBAt71m5ZHfIOKlRLUDYSwQggmBgfi5GKU5uzQ6nZ5zwRbPesp8duLA/V1OwFjUk7qBCPQrUJjcnSBWTC2cvKntOYkrMPNtHsstDs3O2dwNz1mE4qGVdodi32iHZCsyfemC5/IpfSNTR7JxLOXhWvNGCgdD0mJbhgSpAPK/n8hpF6YwgaI9GvC7L2syeafT9QaXk/qts0e5Ebk3P26rJK8rGvzqXb1rKDWmn2XDDlKb6rYBq8O9oK2xFlw/VIcPY9FKzQ7EWEqnXAGGDJBUB1bJ4CVK5HAOgUm0xIZxqiN+ZrHUF91yp76Wd3MNihz3EeADDV+2kEADu62hvTYz+6ooNabBtzIJh7Y2zqelRNIFiKCy2TbaMpgaDsm0CwoDH1ElzfTzFSkd5mas6ejaHOmW9LyXQGteLsSoZ5uXrTE64hz40pOqgQjY/r1Tu5grOrA82uc82eJ4JlrscDGjO7Mp89oTG1Zt/HUMvcmJSzJ9Gv8YHJsFIxg9rhflLzLc0+VTOoK0rO+xOQ47hATCpt28TMGwP5bbjws6fpAhOp2dMOasrZk+/NEpfVPilSbYX71s4DyssqC8dOm0IDTWOSDmqi2W9dVrvrrNoKZ67HqYoWiI99DHVocfZkDYj3voManGX7DCoMtmqfAkByFCqt2WV2FKqzY9nqUdm2MdXsmGn2DE9DbnwsxEU6/0Nx9rSJP6Fo0ZjMngUAEvt8CaZvhl3bnD2lMcGUiWDrPShapCvNvhaauZ3ia0zJ2WUyhjpZU+XG7JNKPRaaffd4eBOESi+zPS6tcD1C3rKbbDOfvdbs6eEbRT57ytnH3M8O+bFKB4lgITf2Qa7Zyw5qNoM6Vx3UpLIXp+Wl3pgkDmz/tRuNmbMOas7ZM4oFkbOnNCY9ZFjoLRHM15fVEWfvfSNdAABO6WVlhpZmvybh7Msr4oM4OwU5+1b7qqAx9fHWy2/QzEyhOAR1+Q0KhrmmMe+3nz1YW5ypdG+up1qzrwEDbvT4VbwxyxKcvWeMIdv/rjxdgvkkISRxj8FbAGB8/2m2bazFxbptDMF574RIx0bwujscmvYs7yEESHLG4rZxq2u1Zl9pTDz9PSltqqQxFWefDQCE4J23mMYkJPMvB5o9hGC9l3nW4zapNDmreanZI40JAbwLQmSaPaUxRWXHtbIHCMZbWfKfFIg3vTHeudZpeUW6ACQBAyHPj4Ti5A1TMq50WKlMBEs5u7NlBxW1XWVKesI15LkxQ6XZucLdG2PnlMYUnL0vNLtqdlBVMqlUa3aumF+9gFfbHBO5TWNaY1w1jUlOGKbimHbXY63Z961w3topaMw0gyIru2JmCsUhqPHRKTbOId23MYnhPfezp6c4R29MEQcWH1yf/DwEH4LLDkFdn9gN2fQwYc+KQLDYM0KMatkY/Wyh0uxxCXqTC/ZqUqnaNi7zcoWPEG418TcaUxyoBLnr0dSuxy06xmbHbkAeKVrTGJAS5hlWyJ4eRVjSGEm7HuMsUvpeldz97KPLwsIgoTFLOHt29mFCY6oO6vZ3NM7K/Jm3OqgLVXDWclGUYDHv1JtwPcYOqrNOiD14EirNXnP2yP2dmzlHxpLpsJSzE96YRV0G4xjnwBPqneXG1N6YZSsQrGGMLzMOAJBz9mJkARIaE1wAWJNPllfUcyNdAHLBxHPBJLDbLitCMOGSyBS8BWCpYAK9bzBpGmMmiMGTIcT5j+V3isT1WH0525k23gGw9LuBHvmQTsCZ0CmCxijN59kXh6DGRydhnPPmM+cQwtdJ2d+5yp56Y2I+O0ljWNeHcVjiwKqvvcduTI++rYGg4tFTUVge4TA3BpJQsPJ8ACiWYDapBABcLhkX1g6Y32ayJUi7Hgeogh4hdz3OZj/eenniFh0zmeL+VLgei8uMKRWPVSqMMZBzg7lyPW4d1OLYDcgV9FA1ITaqUKgnWFyPu5+97qBa4wFgzFEM1Jq94XosUAwASLmfljdaV3RQt8M35rx9CgCdKFyPtWZ3UAl2yP3soyU6qHtlV8X9aXc9Un72RbMHM6XHbgDACeG6OjVG0vU4jxAFe17UUhrj7ICYeZE3zl5fVpim+FaCaaMxRTI2FGZisoO6CibE4jPi1TZpzPatWlIwpZq9cp3FR6QxdfsUKM0OAIACnHt/NXuwJWcf8qDH+OCq99PgRgKyA+l6bADBWrNnxlvCG5Nq9kLpNFN8IWZcmLgEBzzQ7PQSnCB28KslmCaC6ZLGrB1Ua1lZ2XfXo58dKzY9SsK0VHZZuiZ4SBLBFJbemEhjisBCKGZQa86+avbCGAPxTKXUG1N1UKNmn2wJizE5jZr0xkQaUxhjoHQ9NjV7bdTpMM96rDR7PFbJmPLWzvR+8sbkyq9uCwXzs+XF3ByqPcW37qDKpTFbQHZIJkVg6U/UNGaGyvIIuZ+9FjcbjblxWbX97MRWWBeQs+Tsca7QVpW9oDGtyl4YY6CiMfWBSvGxV/YiUyZ2UM1+oNLyQRC/3mGld6yypzQm0sCrHXpSs09DHQcWHwVnt/WkUrIEK83eHwDBE27iglqC2wyqrVyPq7goEulgGYO+3cQ/Fhezaboe2Vxp9iSpNxjPS82+HIVahLMDAFPCT1tlr2dQu+hnnyqDR6HZKT87rdm75LZH+tnjZyxH5G9xdo1LB7UwxkCZz05ydgMAcx7hCwA6ozGVN2YdXrV2wFyWgty9MfVXt23aam6mE7P/tfazK4y34SKcHXLOnh6otDxR6og43FzeaDPO3h4ALJzEUPvZ8w+yjYmU55RBnvVYmYnF6o2xFeQ8CXlte2M2Y8JtzT6HruWNmUIYJ+i64kdrukB28gEIsfTKvqbHO1bZUxpzEnB1ZdBjfDB9CtOVjAODqNlv+dndugRP5XY7TxfIlfDWQSVojMqWIAUEGzQGjzqoWxO/mKeA0s9e0pjNERhMrdkTGjOVNWgr/DWN4UqEbTLINDuohTEGYrpAmvVI0Jio2et9ST6DWtKYXbMXNKb0s5c1cZlUcsbw4q3mJ2+UNGY9VsnmEb4Qz0HdaQzheowd1MLMDgBMIaS5MTWNMZGNlJpdJ2cqXW3pjdna3cFkZnaInH2jMbakMXydQSVoTHLCtcv94xDbHvO6Fa4vq1Qw5TJ44+xFfiREwXRAYw4uK4Hjag47GBOhKjsbM9djGfQYH0t0zHRIY3ROY77WYaV3rbInJ2+ckF1tGCxFY3Tnp6E+dmN5ouwLGlMswW0M+lpvGw/TBXYgWImLhZYGgGjPanhjbEVjUs5epPhC0kEtxpRgpTFxDVJ+9lWzmxJrxoPU4xMpzr742WnObn18Zj2ptHdQ88BCiIrV2ZgEONqyg7pNKpGc3XgXU9iKFF9IwG4RRQsAiOi9D8sTsxRfWI5CNVANoAIACu598CFuBSoas3L2wvIIAJIzDxD/IEQHda3sNTdgyIMP4OMrll+dQG3dBOTdgosAIR6wN7hwKjqoK6EuQmMAIArx2AsvTt4AAFAqttCL7H4AEEwwBsbHWxSh2aOYqC8rxpEB896QX84OOWvNzhhwHmvi4CljghkAwOTTfwDAGUPG457mmLPnvxIEY8hgbE93L1+SZnOLs0sY5vKYFIYYkrTqt3+8Y5Ud7H5a3gnh3sA92UHVpzAOdnTY0zTmIOsRcm9MsW1kTDDOfRTRs2nZs9x8FSrfSTAGgoe4BIlJpX3bWIgLEZegj08MLXFRjCkBAGeg+JJCNZXvFBCZtVGzm8Ibw5KB2TD7irMviWDGlZwdWLTHOKByYyTqVbNblV8uDBiKxaxSfzkdLkfi1ZwdkoCBg9yYyc4Ky+tvAzJFii8kR6HWHVQAQOTWxsZsk7MXcWDrr11QO63Zo9g3A9brebXMjrU3ZuUYZZL+8orLLaqmMbtmn+dCswPAaY3bmyjNvtAY6s+hhZ6Wxk+5FRZqF0zFZQVJljVV2Xmrg5p+OYOzpTFhHROpNTskoWDFyRuQWc4AK9hywt1PPLYmlTQ3kw/DxLqaszc6qHmE5Fs+3rHKHpxhu2aH0cU4MGJSyU+DHXwdBwYAPepMs1dbvC3gohYXkJzZWJyWB8m2scwaBQAAphcgQ2l2vXZQSyAIACeUMXH0av1d5Y0xhgaCkMzLzbYMLco4e7Wf3IBMPanE1kSw2Y6qniSQPNYLws8uuqjZZ1fCYgBQcrG0D5VmP/DGQGJ8LM5Ugryyd6L8jIhLE7VI8YXEz14cqBQfUopYhQfr+pLGLJy91uyQRMcQml2tlT0/BDU+NofiTKQLLH72uoMKySHXBGffOqhmLDg7RHuMBVhaFHTWY63ZITkK1Zk3MBNDehRq1e7fOXvVvoLETzy4OjemT7bCVWVfczsOgvZsJZggP9PmWLNDi7MbKh/b2a/RG1MuhYc8vvzyy7/927/97//+71/5lV/5sz/7s8ePH28/+tGPfvT973//crn8/M///J/+6Z9++9vfBoA/+qM/+vGPfxz/g9/93d/94z/+46/8dtNJJc5ACXg9EzQmHr7hJod0Ze/z3JhqCapmqwfWJSj1E4rG4NrEH+glOFt2pynO3q8d1OYS/JAaqZBrwEWjsvPB+Q9BGAuqzHpcvTF5OPvyayNL7wh1CWsiGHkT4nqtQWZWuRLcOHsR9Li8H7Eo6MGZ4stJvDFHlZ1yPa6V3ZmigwrLGXWbvi5nUCMvLg5UWr8AnI27o2ZQN87e1OzWAci62ylx8cbUNAaS4jVWtqIt65H4S+WVvUoXSDqolWZf7TFsdFOVG7PMoJJ/ji3Il04Ea7SvINPs5Wh34nocSxoD68x0j6N3VBxTUzBt9piD0W7yssoq+xw+uCP0sdRsHkPQBI2JB+ZVNOZrDvL9Kpr9Bz/4waeffvqDH/zgk08++bd/+7ft3z/77LO/+7u/+5M/+ZMf/OAHv/Ebv/H3f//3ABBC+MlPfvKv//qvP/zhD3/4wx/+4R/+4Vu9X2chuexPAr6kO6h9mK5uaLoex+R8n7qYbhWhbvVA2u2pJju3JejMKCrNvg13Ut4Y3XI9wtLHXzR7JS72SSVR3aa3Pn7tetwzVSpvDACsuwt6BjVi1tmNStQ1aGmi1pp94+xF0GN8bMNKo7VFiq/evDFzFi0QHx1ijGivZ1BTzV5X9m1YiaAxuzeGpDFLE3W0riu9MXL1xpR+dohN1I3G5L39LcemxnGQGB8PvDFvqtkzP3tNYzbNXufGqNXPTml2vRofqUSwbStsa8G0rWRCMGEyJtLW7NdqTGS7WzQE00pj2jOolrp7nXCfAayPt44P1W1+9vLHWsE0V3diicwtjZ+v5fFVKvt//ud/fve731VKffe73/3Rj360/ftnn332W7/1W7/0S7+ktf6d3/mdn/zkJwDw7Nkza+1f/dVf/d7v/d7f/M3f3N/fv83bDW7n7ABwQnY/kzOovV84O6XZZZ95Y8xV5PeGlMZQmn2xxwRzuARJ5TW3OPu2BEvXIyRTFaTx1ixinwCCd+sSnA3IBo2Bucy1gITG1EownVSSB9zAVB3U9a3WnB0SewyV4itbfnYA6IXcNXvJ2ZsdVIiafanCTjW9MQSNUWqp7MWZSpB2UI1V1f1yG0Oto1GUXBLBrBlL12NCTuqRq22goTYLQgKyrrbqoG4zqBNBY7ZjbSjXY7d6Y0o/O8RhpaWyl1vhRDD5N6IxfarZDzg7neJLd1AhuawaHdRlX/JVaQyfJw/VsRsAwBmgAD/m+dgC4WvtoH4VGvPs2bNPP/0UAD799NPnz59v//6d73znO9/5DgA4577//e//5m/+JgA8f/78F3/xF//gD/7gk08++ad/+qd//Md//Iu/+IviF/77v//7f/zHf6T/8uu//ut//dd/bYwxyXnKABCsffbiBazjxR1//HJ8Pd9Pl8sl+8+GwU/X+xfX8NheLuVt0Icwuflnn3/OGQMAa4YXL+8Z34/3vB/n8X68XC6XV6+Yc8UvB6YulyJX2Q8AACAASURBVM9m+JiP5vnrl2HY/zz2/v7FMFwuly9fXIKF4omCsy9+9jn04d6a4cXLC3+9/eg6mPH66nK5vHx5MdUTZYD//ezy/1l2b9344otLMs89XOdrfOKLMFu4XKb0iSr4//3s+f+yejJ3X758Pr7ev4r7axiu8OzZl/zFyxDgdf6KDE6fX16fmHez/eLVCxiTw+SmgX95f71cXrx67uZQvFXH/BefPxeneTbTq5dfDvd7P2O4n+6HV5fL5fmrl8GYS/mK/PLsc827q5nvX7z0YlcA4/3962G4XC6vXsyzLV8RQ/g/z5596riZzctXL6/X6/aj11c7Xs3lcnn+8gtvqr9jgMuzCwqcZ/vq1Ytx2GvNeD+8Hq+Xy+XVixezsdVb9Z9fnmtpB+PuX37h7/cv5/X1Ol6vl8vlxYsX1i5PnKZpGAbnnAjup8+++BaMfrbPv3wBZr/6rvf312G4XC4vXz4zpvyMloUXnz9nj8Ng5vuXr+C6/5Vf30/D8OXlcplevHKu/FZFYD999vm3mL6aJ8PLZ5f7fQHY4X66Hy6Xi3vx3LvyFWW4++zZ6wvYwYz3L1+H++SA32G0968vl8urL+6NLb9VHvjnz392gafW3L94OdyP+0+v13m6TpfL5fNXL2Geiyd6wOeX/+PxIibz/MuXkOR/mNevX43j5XJ59eIyV18OZ2G+PJt6Nzg7vHh5SZfcdZ6uXy6XlSkvK/Ths+eXS5D3xg4vX1yu+9/x/vV0HZbLyphQXFYyuM+efXEJAwC8uu+mwV4uZVEe72G8+tG/8uYTXyw8AIV3ZjAv71+x9TfL4IfnL0IoPx35+OCDD7DaERaPr1LZQwgxECOE4H3Zz/2v//qvf/mXf/m1X/u13//93weAX/iFX/iHf/iH+KPvfe973/ve9+pf+Nu//dt//ud/nv7Lo0ePnjx5Yow5n8/pC4/Bnz98uv9nCmY/fvLBt86PzunT4fGjn04j9+LR00fn86P6FZVQ/aOuwy54C8F/8OHH6U/Z+foSxvP5DOqnZ4DsPQAo/ajvxPnxk9chPH76Yfqjj42dGTufz/fIQD0pnjj0upcdP5/n4D/58GmqBPj56Stw5/NZSiarJz5WHe/14ydnG+BbH36QPvF+eMqYPZ/PUgzyETufu/yJz3h/evLkkfPuo6dP0idOH1gIw5MnT5xA1em7/BVPnZf60fnMvrTh/PEHaaSR/+ADE8Ld+SwkeyTLt2pO+iQ7fX5inf3oo4/SqJYPpo8Cc+fzmaF4fHdXPPHUn6SST9Yvhyev+HS6Ogjn8/mn/JV8DOfzk/SJj3THO3U+n513Tz98ypOMD/fh9Jl/dT6fAfkTfFy8Ytd1Wunz+Wyd/+ijD9NX/HD+0IE/n8+fI+Kj8q32vVaqO5/PkwufPP0gfWJ4fc9COJ/PHHH7jOM4SinP5/MjrUXXnc/ny+zO33qaZrx8cD+GEM7nMyLc3Z2LV3x1pzvZqfN5cvaTpx9hEpwyDR8xsOfz+QWX8IgXT3zU9UKr8/k8ePi5D5+kJG/6wM6Bnc/ne87C4yePiiXXAdd4PoPx5uMPP5ZJRpv58OmX3p3P59fCysehfEV9Jzo8n8/Ojk8/+pQnWyXxwfjcX8/nc/jp5x+y8q3q7nGn+fl8fm3c+eOnaUTdt3yIl9VVBHz8YfHE8dQhav3kyeDszz39SCdfDg4ffxFM61t9onvW6fP5PPif/NyH51S2T/PHAPGJ492jcD5nev+x/oL3p/P5MQD44J+e1flcbZdPwZqXKL18+iHPXxcATp1jFh5/dBZPFkU/d1ppfQ/sXP3H9UNUO5768VUq+0cfffSzn/3s29/+9uVy+fjjvSaGEP75n//5xz/+8V/+5V/G3ikA/M///M88z7/8y78MAFJKWVFLAHj69Omv/uqvFv8YxVf63wczM8x+w5204zA97h5Vv1YyIcLo9R39ij12BuxjKc08CtkX/43ulbdBSjmG8KnWxU9RnVgwGBhTWPzoSadHH6SU4CZ5+qT46aSlCGA501yoIoSrfxzMIKV0fjr1HxdPfCTlDGC46AUrnth1j52bpJQhTFrz4ol3UszAA5NSuPKJPXN2kFIG57AvvwElZw+IAEwwmfdX3am3s5FSOm/uunPxRK5ReAYAEmVBY07dnXGTlNKFcFKqekUdwHvOFBc6f8W7rpudk1KCZ9iVn/GEyjLgnDPGdHGUcB+cCVJKB+5OncpXVCpAYFxwxopXfNSdZm+klOC9rBaAkhiABS6Ql0/Ufe+tk1J6H5RePqNzLk5RdVJY4JILYEzmBOzUd8Y6KWUIRqm76luVwgMTHAB6nd28u+7O2UlKyX1gXbnae6kshCAkB9Pn1MCfOjBOSsmdBV0ugDvpZmAcgwv+pHOO0d+BnaWUzDGhRRmiILUFh/j/s/d2uY4sa7XoiP/ITHvOKvahFzQAQR+uxBsI7d0KXpGQED2hE1s0gOdNAxBIPLOqpp2Z8R/nIe2qOR3f53XuvkviLtWJp6XymrYzHTFyxPjGN0L2Vp1fPty3ubYMY0wClgEKjJ3Rs1EarZnpI0Fxbq/NGCNa1vbxqyZvVevQuqAvzr+HWOdPrUZjTOvJDXd10SYLKG1S62fv3v+h9+faojEGLRmH4Q9VhDj+MZU0T9oMqpQx6K2LVNQ86QGCJtt7rnbx8i7KZaMVBPD4WX/0+GN09j//8z///e9/33v//e9//xd/8RcA/vCHPwD4t3/7t3/913/9x3/8x9/85jf7vu/7DiCE8A//8A//+Z//mXP+53/+57/8y7/8o7/r+wbUY8wKsTwegnoM4aYSCul6xLsi6ujNwvtSD1nEPwTBsfnnXcBFpYr4hyC4lrwM9UNpblXZUgmd/Sjij3UefOxUIgXBtbaxARU/V0G1WuTSiaDHdym+ZAX1uHVjtABuOvutU4mqoJqY0xgag3dlwJq7Gkt2SodSRpEdH70xtOuxlJQejTG4JcLfdHZJe2PKaGbHBz/7Y58t7q5H0sRizDc/e1BM9WI0xuBdKmHPVQwlAa9MqHmM8MU7P3v7eOzGMY4K6hgag3femJabHArax7FKJW9qqH4p+9Qbo6da9vHMAwCz/hbHRFjOju7urRYv1cO3+aazjw2AuOvse21eiYc//BbpynpjvldQ6axHAMbJtgUxDU4KwFvgo59YqP8fdCr99re//fd///e/+Zu/+Y//+I+//du/BfB3f/d3AP7whz/813/911/91V/9P/cB4M/+7M9++9vf/v3f//1f//VfXy4XUo35Px0fjTEAFtNaq6PtAYB0c9mqprwxAGZzMz7WQjSGSHPLjVkH4zluv/rWUxYDss9K33tQHz3ywO38l7Xm8T2VmRsTXYR7xsVojMH73JjUh1V/m4KjMQbvXY9kBdUgZbRU5RjP4BzuPahEBdWonupYPgVglT9O3iBdj1bbnFOo+eFkCQBW3V2PiXJ2ah1qGc3sAJR95o05KqhjtADembJbIbwxR8DAGBqDh9yY4Q+9VqFUBtlv5dwydETj7pelkd1888YMZ6TcK6hr6fMwAb5FSPYUpB1RD1shyqe4VVADbq5Hws8eSqQJk3nmjTl8LGNiBx4sZ3Y0DukeyxjOjg/pAsSyOgjTShEmo6dcNlCt3Ti8MfcK6p7okzcAWCf6TrgeAcy6QYj3chy0Qv0lc2P+GDXmdDr90z/90/t/+Zd/+RcAv/vd7373u989/M9CiG8o//9x9JLFx5ntZdDaizGoFxB+qm9NUd4YvItoZzn7nVwshPF2rnkf4/pwTMGnnUo9lq08dsrh/RSkWhCPk71Izv4hN2bgDouWW20UKYfWbLoA7hZhIjTmduzfPRGMdD3mSjLod7kxjy3yAIyxqaTRGIN3J2+QBupJma3knB/N7HjvjSGRXZtcci7Vjsbz+wnXJWVNdyrVUOo0PBK++9lLGd/Wa7mXNhpjAFit0y03hvSzq57Kw1Gux9BmOjqVRrMg7tudvWAe4Ela9dz1uBbaU/Sds5OdSsqFGmvZ9bCTVvb2c+yVQOEnW+HvbSJll8TRmLrHvNU8yRHZv6cLcK7HsfsPN2SnW7vx6I3pjuHs1okeAonsi2ztAVi0+mW9Mb+mHtT3h6Aew8lNi4EaAwCkm2rsHGef9LTfo4IociEqkxuD71OQwMt3WY9Up5LRPZWtkmrMvVnu42mN97c1W8kMZ/8ZNWarbTwqD+9cjz2lsVPJapHyEFp0e+0WG0J2fxy6Ac3ZP3QqjWqMyz+vxrRRjZm03mse25RwcPZ05+zD0/ToQR0tj7gRz9vJGyNnt0alXEOlOLvW39SY8ftMB2ePBC39rsZwnUqphpInwpV/27QxfnYbShrN7LjlxhzpAoQas2hsBaHEUY2R1rXEuh6ttpHj7PcI1a3WidEVyefT89ZuOINUtlK8fPwdv528UUjXo9IbQ5juGlcfg/bwTo3pxxHCDGc3XohInLwBYJatPxwvrHT/cfPZa3m4zU4GrWhkhzv1hnHmHWMyfiusGqOMvKkxpYzIrvVU8tbj4+EJeJ/1SLVBw2mkvBZSjfE1B6DTxlt+Cn4zidPIrlk1Rh0nb3SaszuDVOgN/i1JqvdUdiJdwMqWKq2zK5dr7OhjPjvuDHp0+uPIVKm1985xdlZn16K13hvdg6q1zoVWY4zSpdXWW02J61QKpY46u9S6t9Z7J3tQpxtnJ56XSqnDaUb72XmdXSmL3lqr5IQ8jqOikV1LtN5b74lMFxBb6aEEPzxmIJUQotdCNo45ZWNNhVpWQgoI9NrXUpdROtO+lkAiuxZCCJFba2njWru3mkeFRwglpGolkpz9OPlgLXUkTEJIJXWpiW7tvp9pkzK0+qCpfLgVTqCUkTYBmGWrD2vZ/MBZj2MF1YpdShrZu36Rhk3YmfUt7nE8dgOAULcpuFVqCpqpljC2KeGW3iVia5WMLnKmx7LVMnJ2CCmVaSWSzXITr8YIoaRUpUYuXYBTY4SA1KKWTnN2gzRGW9z/UhjdUx5P3sA9yJfk7EJILU0ucWykBGC1TTnthVBjxCG1M1AyabNXWo0BoLSspXE6eymFRHYBYZWJNddc1ChV3XX2aVDqcC+ipkyrMaG08cCW+/fRORey1vcE2XFnuy1VOTzAb5x9ON76/ra6p9JTFMNcnW+cPfjhJwYgrO8pcJ1Ksaaat3FZ4X5a2VbrwiWCMZ0/RyjYE519b3UZOAFuu+FAc3Zt1kIbE3AncM/TBZ6UTwE4mbu2eKzOAsAkan24A1r/sodc/5qQfaygagSAKD0D6PqkNIvsk/H7rQpElTrfTUFWjYmPKdLHOHaOjdqNHt6YsQf6GMcUfJIuQKoxAIxZSt4KVV08elBzeTx24xjaiFoghjhsAM6ImIc4um/DWqQ0nryBb2pMSZYqazszpRJCpji7MYfOPqoxOKT2UkpumjjVVnM6O+6CDN2Dqk0umVRjcDuQKBUqXcAYlUolvTEApNY1l0R9H6/VXipZJMQhtedMqzFGczo77vFVT3T2MTTm9rZW9VR7isLROnuoj9EC9z90PUU+XSBU0kFwt06N6RoAlJ5r2cirALAovdXKeGMMtxXG3R5DZjbcyleljbU0AMbMuewcsh+cPSQ6WuAYk05t4DfHcKhVPqgxqv+wJ2+8PyrvGEruEITlEUBTJ2XYZ+Ckp29qDEkujlMCuOiiuzeGQnalt1p4QTCvJY/TGnepPWe2DZolF8rfpuBAHw5yEZmgUW1QcicTwY5jQlok1BgAwtmDsxPIblRPNedkqDlt9ZTKHkr2A+o549LNG0PcnAOhSDVm0fZAdrIr7zA+0rkxRpdcSNkEgNM2lFhzHs3IR9bjeOzG/RNNzTlTuTET743B8WzLpQwnb+DIjblxduKuauNL3lsqnDdmjBY4xhEd03MYOfs3nX0a1Zh73GNNZECbCyWWTFRQcX/Qrjxn55D9Rpi40I5Y1kJUUPGdMBE1oeVnOLsvJZRELat7aMdwhPCH4WWu1O8FYBItP9wBpfA/ngj2PzV6K+LjjyexdaaC2rEolcmXcCuRsV4UAMrJmtpaaZ295p2sg+Hu0KIrqIc3phZy23hI7aVsZlgSN87OTEFjplIC62cvdQxnv1+IKJmI1gPgDGImgqvuL1vExOjsqqWaSh7z0HE3PpKux+Mo1H2IA7t9oNaxcMKuDrWQFVQcyJ4ax9lTTolSY3AvopKJYNbonGukKqgAtD2QvViigir30loso2yCmxqT2Xz2VELJ5M057DEtFjHsvb752UedHfetAFlBvXF2qoKKb5w9kym+/sbZacIkW2prKaPIefMCkEUhYFZqraWSOrszPeW9EQZl3JbVziWCrTWvQzj7MY64x+dqTEh9ojjTMaxMjdKyANhek/j4oVqJUn+5AuqvCtlHNUb0vYLm7FXM6l0UzMOY9LQ/5+xWttQ3stRj5qOlgp6CWm2lVjq6yPSYt5Jnan1KM7W05bIbPSK75vzsAIyec2EEQX1wdrp8f1Njcgahs9/VGKoEfTQrxbI74jSrp5zdTCnvTKeSTTlxN8fdODuRCDZrvZfCqzGy5L7nOA3Gvm86O6nGOG1jSTVlUmdPue65TdTNUUbXXPJwWh6++dmHiND725pcSilUp9Jh2aY8RfjuKiE2WN/VGOoBLZ1qqbYUJeGNEWtmKqjv1RhCHPOhRrJTCXfj41ookfPG2emt8KL1WmqjdPZjg0k+LXDLx6aRfTksZ0M4+zG0nnLZMiVyfkd25qi82/cSuQx84vYSevmI7ELJXln1+I8YvyZk77WKhxOO+lY7zdkbvBSBfAnHgXnPdXYja2rkEQHfyMVIkfCOsxNv627NcowgOLUScqY4+9Nto9FTvpV6Hl9alNpqS4VRY6wouSMRF+K+qTGeInvWgFNjrOqR1dlvnJ3U2bXJhX3sHUG+5Pb/sIQWqjMIx9Mrd5J7Gn3vVKJElec6e851L9VT8R3K2JpTynnk7F7LPbeennD2Qk6AA9nH01zv1zjd1RhCZ99zWgsW6tF+r6AG0s++V+xcBdX4nsN4Diq+dSo9I0xtq1SbyM1MXEFJVcvPbYVXys+Oe6cIaTlblFlr3mpb6K3wXPJecjdP1JhEr6xjOKQsGWRvJT70EimF9iO7Hj9iYu8hN7qC2rpT2MmXcOtUCgBq3RXlm5RW7qkoIYbG46NTaesxc8i+pgh0MUgu95YKbts45XQFIIcJuiiz1TxmjR5DmzmnAGBorr67HnnOXmJFayAa6O9qDM3ZbY1761UPlOSggTk/HpV3e1s9hbS13syAidbYlCPpesSBUKm0SjQETsrc/OzUJyorSmylVTPmBhuTcsqFVmOcsnsOvdbx5I1vyE5ydm1NTrmUOrY4Teapzq51ymk84RrvODvjjfE57XS6gLax5LVgoR7Q0ukWci/UaXm3TqX4hLPXRLQX3NQYRmeXRpTUxkMo8T5dgJqsi9ZrKa1wKb55YyuoU8s7qXHddHZmK6z1lMtOlnbeeWOeVVB1ixn0y7rWXX780ENn/zGRfeTsve+xMRXUakR/guzT9x5URme/7Hksn+I7sjNFfK33uBIV/JsgWFZWjfFp/zryNfzcFDTah5DGPSO+V1AZnd2IFmjfjDPfOpWov3QmhuvYgIp3nJ2poPo1bmP5FIDRNzWGlJK9MSFmaYh240mb/Yk3xsgtRauIvzwa+nlvjItxHwk73qsxTAU1haj18Jj91oPKVGisNTFuShkhHn9lYdVNjaHAy5iphF0YNd4cd1Nj+kJWUJ2uexBKQz5+4pNOJQDCuronISEGL7e/eWMej904hnJyj9VIORKmY+fBI7taUxBCCTHGXRiksrc6DZ1KAKTxOa0dXcmhr1DptZTxzINjGO1TDBBiuDdYtFzLTY3hogUA6JY5ZDe1hP5/K6j30Wt+4Oy1b7HTnL1WIzt7ysdk/HZL/FkZciHXVBZqId3UGKb5bNFqj0SdB/e+/K1m2nhr5xS/jHtG3AkLOwXNHEMkkf2YgonzxljR9khW961GzHSnEgBhXYrXUYoBIJxqRw8qqcboaU0bKRY741JhdXavTdjKaHnE3ezPI7vYYyBFjCe5MTic4HEfj90AYLTKpY6HoN4/0YQQRikG370xjJ9d6xjp2SjcvQeVel5q7UsIoxSD477VvGZGjTG6b9tI2HE/Pj4UIjcGgDSuhjSWTwF47fcnaoyRa8qjMQYHZz8IE1NBDfFKLyurD8JEtIkAyswpsITpMBOP6QIAjJ5jzKRrcVY3ZI+JjRYAoHtMnQZ+WduGB9ej7LXjlyPtvyZkR60P3phSt60yFdSiRbmSL+GdGlPyrhh71hoJyyO+lXqYKbgoHeJVWepbOY1YWNejdjFc9FA+xV0QvJZ6YqcgzdmPTiXGeQ9jRN1p39bRg8rpBsKZuK+jMQZHBTXWXPLYqQTAan+NwVOXf2gje8mkn90bE1IZ98W46+xP1Jg1EIGFOM7ny5l3PboUg6Ku4rkao4yJIY6WR3zn7LTjyBoT4zoW+vC+gkpxAm2msu/kLzVpG0p6psbsmxjiwAAsRmylhxonhrOXPY1SDI69TnlWQb3ETJY6lZlL3sjQDgCL1iFshJP4dnMyr7NPOb2NrgT8vOtxSjGzhKlWHBVUnrOrkkOjX1al7m1UY/KPqsa0RzUm1X2rDGfPUpY37q2mbz2oeaM5u5VrJiyPuAmCrM6+aBXiSk7rO2fnXI9zyVdD/eExBdfSSLKj9ZQCOwW3QvegAtBW9D11qvv55zqVTErraIzBXTdIOVqKCVrtQwkkZ7fa5pL3SsSlAfDapFhHy+Px0hM1RhsZ8jPO/qxTKUSSs1urUyo704OqrUkxkk+L77kxTA9qDCs5AQ5aGivbg9pCJKuy3twrqHSnku6BiBYAMCtsFaw3xk1tpzn7pPz+RGe38proZaXN/GxZKZXSLkdjzL21e+fKV3aO4SuN7D/neuSW1UmrG2fP/YkaI0tMzdK9R6lkpfP7fhut8EuaHn9VyI4hnieVfS00Zy9JiPKVe6f5fhRqYZBdWXlNmZuChyBIqteL1jmsktxTHwEXT3T2fH1CLtbaaM5uphzL2E+Bn+9UEi0k0mR2S/GNVIovIKxNieXsLdPpAjh09hRIeLLGpRyfqDFxL5qGEh0ONYbh7HuixWJjTKklpWqpp5fXNqak6Ztzz3rk1JgYSTXGaZlqa1wPqjUprWR3hTCql7Ynzhvja0ycGpNqvea+UBNAOt3CTiK710gVewlMD6qvIZOc3SjTeiuFTheQRqyZMMYAUNq3WnrMtBqjdWQIE7RC72vJM8vZ6eelkRLAtVRSjdF6yoleVlaKDuTWQ8KTdIG+h2ZdjgRe91hh1Z6+vySU+p/PZ/+fGr1V8bFIEuq+14l81LUIkb9wbzXfe1BLXkk15uDstENW2d4bEksuct5IcgElIcRaElfET/FC6uxaSCnElYouwi3gopLk4piC4QlnD4l05EoBKdGoFF8AcDalzZLLTAihREzB0Zx92nMkkV1KKYTccuIqqDk1krNLIaxUMSdWZ880sgPQSseUx4AXAE7ZkiJZQRVCKCW3xHpjUszj8da4BeDIFjJ5V60xMW0kBkFAGLWnyOnsNURyHyAgnNLX3DjO3uI2hrMfX3XS2DLTg2p93atyNHp47VK6krKS4rfCALSZ2x6eLSvqPQEIo9dMi5zKzildSMIEYFbmWiutxhhfUiOXFe5n2oT0TI3pIWLyKRAu9Raq8Cq877f5kSuoo+txzZtV00o96kposm3cY9BrH0psvXPbRmXlRvVTHEPrqYXE2bNK3GidHRBWb5lKBAOUnTKzgQCwaPOWWZ09JxrZASxK7qlxOnuPqTP90c6I+nC8+rercDbkjVRjAAirYmLVmD2nsQH1/oluzYnj7CVWkrMDmLTmkF07GTJNdQEYY2LMlsJEp22mgh5vF2LVljnObmOiOTuASasaaceRNSbHjeTsAITTe45jii8AY6YaiWiBY3hjLpnR2a1qexCO/sRZY8tMBdX6GjOpxgBw2uV0VXYZX5JWbkxLEQBl5h5psFy0LmmlCRMgnN5KYjl7vjxZVpdMEyajp8Qvq5OW11JD7hPP2bEHeB8DydmLsDq84+xQv/DJG78mZB9dj1veJzOtVIhA2Zty6GEjXgOkEE7ZUELJqzbMFMyFrKDimIKB3jYuWmVmH4D7FJxozj6XspKcHcBJm2upJzK6SE+ZJxeLlrHAUaY3bcWT5AtrQMYHAhDOpbyPQRy3C3E6xkiqMU5PIROhMfdPtGtJtJ/dmBK7dvQ1TsrkROfGaCv2TEsKOJA9sa7HSh2odP+qest1ohBBWZNSITk7AK8lp7Nba8hWyWMIp/ecGM4+cSIGgFm7NXfSGyOd7omuoAKYtdjZCqqvkUh6OIZXruSNXFbKyCujxgDQT5dVSztHmGD1VogUXwDKzmQW0+1tlbnwxgRuK3x8n620EJ/52XuIcnI0Z49VPXJ2idZ+0ArqA2dvvaWaZuOv+fF+tNQgoLxtDLLjODCv7KzObsSl1hNDLrRZwOnsSvdEJdIdw5prySeas885Ef2Ht2+r9MrZs8yUqfMBjnHSiu9UQg9xPCrvGE6jp0Zydjiby+4YZBdOpZwcpd4a7SPTIg/AGRc4b4w2ZLTAMSZtjiOkx5eUkYkJ0sI9hItWY7StiUd2q0JpnnokaGPIBtT7hSg269GYnPcxnP0Ywuq90FKVNlPLldTZAXhj1icpvpHl7ItG4HR2N5ERvseYtGfNxE5ynXq4cXZO5NQ1reQ+AIBwZquV4+yJymK6va3Wa2k0YTJzjkQc2P0P5Vra/jTFt+9BLS5uNGeXk9rfIbvQqv/ffPZjbHmftD9pcR0Ul7xVMyvhZ46zA5jNvOW95o3V2UvhkX3quXLemFboIj4A4fRay4kCGmXnXInQmPvbmrV0sg1a66kmGEb0XLR84mcXOXNqImbI+gAAIABJREFUjDWiM9lVwttQAllBBSCtyoVWY5yeyHD2+yfarRZOjamJOA7wGLM2XCKYdiLk6KkvA8BamzNbQa2ZOFDp/lV1KI3m7MfTgrmrs1HkERk4OHveOQwSToWSxvQbANpMYDzyACbttowTV0EtaQyNOcaiEbmsR+tq6rzO7mveac5uJRktcL+QuVNZFwBmrVBYwiS8WamjynDj7NsTnX0tnefsMLzIeS3teYpv34M6TXGndXbjH9UYUcoPmwhW8W7DteZtMfNicB3UmLJVPSvp5xafcfY9b+TJGwCUk2vjObtdkIlzUAEsWiPtT8jFlXE9SjPnHJ5sG0PrXCJYKfKJIFgK6X+BMQJUHNgxnAG4rEdrSyVCY44hnEqsn32KtcxcaLV1oVaugtoyCyWTNiXTn6isDC15JpjJaJNyJXV2r13NmfTGALBWh8ro7NbkUhyrs0uRWZ2djBE/hvRmq3SDrjET11MGYDJmq4KroCKxnP1kkCrtepTO19xJbwwAr11jCJNyksxPPYY2s0iNDNpblOopsOUrb9ZaOD97rZGuSwOLNnvltsJLySBbKHCztP8MsmOP+jzFnebs+iNnv+XG/HLj14TsDym+W9lnM500i+w/w9n1dA1fpLJjMzcAaeTWiRTpYxh56gAoBr0oBebYAQDRSyVudquHoexcK5EZcoxJWS2gqfNZjJlrEQxaYpGa+aYHZ6e9MQAm1dC7oCa98C626BgeBHcc9UTRUu1TqaQ3BoA2rvduqT902vQCvkpsWmuczh4r740xpveuqbszaYdcFPPYM0bVDkv9oTIml2KYR8JiJErjOHstO4dB3crSOilkGTP31EiqC8Brl5sgg92k071ETmc/GeRGpB8DEHbqBVwFdVKut0yWgqWVW20csiu9oDSWMJWdNBMDgDOhE1k0AJRdcolPtsKxgVzm9rasOMKk1lJj7p5LBGut52zOLo46e0fLzc0fOPst6/HH1NkfKqhb3haznIy4DpuYslc9Kenn5zr7Gr5wRXPl5LUREb7HMPIEVoDTsgTJkIvV69MYfAEAkGYqLRpqDwvASssQVhg91aw438hJSqXo+aKNEClxFdRFtE4exQQIZ1OLXAU1mzbGbx3D6TmWzlVQhbaOWfPeGBRwJPEs5JjbdQxlZWzEsRvHkNKQQY8AvHG9NI6zC8Pdb2hjcq2czv4C0bQiT1CzRrcWOW9M9ILMRQGgzYzcSd0MgFaTFY2crMJqZBbZFxWVNJLiPcL5WgT3c0xKCmkxptgcrsfOipxGLZCCvDmLVqpQEb4AgOiUgtA0RZtqi5zG5YTVopMHmRqz1CK58tWi5SW11ujTyoBbBcvNcuTsLVVhpHPikbPX+sOmC3yooK5pW8x8otSYvFazKOGXp5x93vafOBOLsnIDq8YYcQLlNsG3Kcisz83LRXAYtJQaOTXGKctBiTFLL4ojFws0tUkFAGOFLCyyT6I1ZoMP51KPnOsx2+6G9KXb35k5tU4aPABAa0ctTgBea2TJ6uxSCW6Db0VqmePsSo6hk7cxaY9SNcPZoaWjNl4AlDWlNsfc1ReIStVdAVhre+WR3QjP3FVjZmTBIbuSk9P0Nl9a3WuSnOtRBS25cq7vWUiGa8yQnbvhTm6tccvK4sR042NWShXWG7N5tTAzR9kpt8xxdqt4wmTmVljCtCj5Fp+XT6OYvJvkqLMf5avJYnA9/rBqzMcK6pq3Q40Z/exlq3rWP8vZY3zjOLt0cut00RyAxtIN/XRdlNYlcqWezakTc8+VnXOv3GbcCGMl/YnWLLUaDtlnoQTzh9oIWTOZLgBgkaUyK1A4G3vhKqjVwAgW2XNlOXvXxjJw6bURjeXss1CdRXaZwPrZhdCKyGQEgMk4URqnxkBzxhAoY0trZDkXwLmjMldhja4tcRMgmO6Z3Z4xs8iQTJ+7kM4K+kgH6TRq4ji7V0ExB5ZJN9UqWZ1doDM3XDm5gkV2jYlJ0MJJa1Ujp8ZcnTyB2wrPlZGGABhJpswBh8bFL6tFy2vsz0T2EDB5NwmCs8cqnfJW7PHdv/7IKb6oZaygkpy97FXPUripP6+gJhbZn3N2jbkxx2cvWukWuArq6uTSmSlop9azMSf6+0hNKd7Awdmr4fjsBNk5NcYKWTLrekRrzEcKbwsyV0HNurLIrqfSwHH2Ph5fdB/eGFFYzu4h6UoCoKzIPXHeGCGVJrfigNdOtj4egnobWhtKbQCgrSm1cWrMCcjMXbXWoieughosPJgdpJ1lkZyfXcrJSpoMCqfRs3D07+hEkJJrRvO9a8lIzJOQnTlxQlm5iXp+guzsstKmsBXU1bLIruxUe+W2wkYYw/Aeo6fenOYInJZr7NNTY4yYHMPZq3BqsvjgelTyx3Y9vq+g3pBdXAY/+/8hZ0/xohhdW1m5iUam+AKw1VdmCs5KuZoEIwiuRiydvudS+4JuqGNAAGgYJRiA1h7NK+b7eChwyK6FarlxLg6UzFw+tN5l9sxXLbpaBoO0sg3GMjS5KukpjRWAVVrXMWH7NhzQGGSXSmSRHAM0QmjJ3RypTBNgULgJwSG7VKoCpEcewFJ7YjaCUggpimC+atR9YsBLCKnhOEzswhlJd2ILJTsyOOOQChD0ExFCNOG4W+eBximAArtuM7P50H1qir4KLcTccmbIxGrFiS4lABBVCc1QDSWNYjY0gJD9LJmzlBetttieqTEhCk+rMS0U6fXkxAc1RivUCvGLKe2/JmRHre9P/1nzPpv5bHAhvDHl7o1hD9+Y9Rx5zn6bgp3+5RR80/RqkULMPRXmZNurEUtlZ0OTQnP1VaH4KQiBBcyhr7arqhguIGB6blzfUK+FE6GBbLplds5ZNdOZhQ1AGMVM3iYVw5AAwApTGO7puygM9QaQdXKdI1eSeZQAgIPi3rYo8aSrvElGVALm3iLzEAKgZOHANJjuGvtz6O47g4mQToM96l3IKgR3VmfoYBruAEgvQE85B1GYYhKAXfe50XdAd9e4uQqceoqSvjmrwVLZu9qEVJwKDy0ZwoTbsqJP3DxpuT1vQN2D4NSYvQivJ4vtUY35cc9BfehU2hYzvRi8DROsbNXMP++NSfnKIjsQZPeV2eJVU5mHOYC5pZ1ZLZvBwv98VQjF/CJSaICd9LIvQtJXaiAbP3c1UuMWdmuZBShEXRwD30VVzSN7h1EMhcxCGf6r2qYrg+wGqDxCJ5ksOO6pJP+8NE1VBi6rEJonV41/da4ITO0dgBSZw9mg+8QAIgDVXJX0hKywRrAhgkKUzsmDYu+gOTKACi+ZT7R4NnN21SaGX6vuquaXFeLObGiuBideyehSSIaiSaHE02UFRVPDRcmYnwU9Yo+YnDaid9SP5r0eipweObtQqteKX460/5qQHa1CftDZZzO/WLyN3pjDz+7mHthjlWYzlUT3UxxjV21m+LVutjIcGcDUU2Cm4Kr6qTzh7F0xU1BAAfwzoc9d0FNQN5kl+4e65QSmGaeVxO2pgaSaq/SrWVbDs8vajWQoZBFCNx5nu04MQpmOzC+xorJpjM7+9K6aLjLzpKlCaD68qQGMeAtfW2DEKAACuTPIHlVzPC1VzRRmQlZYhUi+BECgdkY6UwiVR/YOpwTH2XtmhCPclhWjxlTzbFnVvDE3Z1V4shWuAoqTQPGMMKFP3LI6aRXSs3D2HoLwDoDzj7S97UV67T/q7NAKP7TO/tEbs5j5xYi39LiM8rWak5bzqe3ssUqznmraNFPqBLDL5pnpIquuip2CvuYro+utCgvfQlzRVONeVQ18fHPzDfQzTDeReFqqei7MVzWtxSecXWZb6PWZRXmC7L0rMBeSAd35h1DXSdCPBF175JE9iWiYh1CHeILsuorI3LoC8L8UKiCYC/G1bbxwJJFro79qkM3zv79qpjI4m9szZAcKmB9Lgj0+HkDrTjJvq1tN/BZqk53j7LI8I0y+p52Zq1fZT8+XFfNS67I9R3ZmWZ20zFk8U2O2XcwTAD/LsH2YDDed3Yr9fXS7lOj9B9XZx9yYheHsZS16VtIvbX/C2eeaV86L0oFddsdQQVl0EbQAB8C3/cKopavs81Dv/faZBV0wTLBBtM7vqbvlkF1UGQU7d1VLhTuEt5XIM68ki2OQvciimZcAVEg0GhGygOIbrFWVgSH7qvfEL4gssmZ09tZF5++qbojMLiFBPEP2DsF4k23uG/+8RE+NEbKibNxsBCCrLowinLsRnUf2njrziQJ75nX21o1o9CfqXiJTXgawyTazy0oVhiMDcDW8sZy9LewTAUV0xewFO+STZYXmu6CX1dmoVJ5F+PYtiGkC4Bca2Z1FrvgwiZ5MjP/349eE7ERujJ1Hnb2GJrSQWojpGbIvZup515ZG9r1W2wWG3cAxVFUcsre8N6EvTDFklX1m3jOXXUH2Qr9taap2Zrudexet1Av5qqgyccieCzoSo96qUgOzT08lqC5FopdERLaMbpBqAVAavXoTumQ2pL110WVo9B2QrQcG2VPNAJDo79O7QKc/sdUKiNDoZ0nuXTIPod576x0MlNjWVrYdvQjRCrNNDLJ5RsfrtYnO3tXcNRgIRu9A6QzO9h4To2L11gGFQpd2VGUmMVB6L+iG+URVnyB7NzWvDNVYBUuYem+tV2R6rpYuC/MT947edOv0pv+sZU1yYso3uHF2j4Ozr4/ILiYtAGfwEDDwy1H2XxWyD2rMeujsD96YvBazaADSL0909sUuqCyyX0tZIFui16fIIjMcuaY1aX8p9ExaRV0i/Z4prVromujVkrvIHMqkLlXOmf4+vWJjlIEeQtOuMGRH1xaY6RHL5uB6oJlg6tkkegWGnI1EzPTqDb1L7hpDb7ruhX5V1Loz1xhKdHCFOrEMQCngKFtJqWuEzF0jUOhPjClpqVqib6vJ9cLw2ZxWCBci/Yc7ik8MBMfSdMuZnjmx6c6Afk8B0rTEPaL2UJlmtNikLJ2Zq7LlwGw9r6XMkJVdVjIyHLnlUJR5YwjTVbQTs6xy3pRQnbk5tYncmapP6kKVVFjO3gqecfb9ztlnEbahguo1gNkOAQM/phozcPb9prN/fFwf0QIAjpSsnumlspi51/gE2SehCpWaj+fIHteqJw7Zr71xyJ7zVStbI/22sSIxnD0fU5CZu6hyZcCrh1iNy8weQuayccpA3pywYJA9tmQyjex7zloiMlwv1o7MLbMG3XcGLlHrxqilWw5O2sLc81J7q8xOKKWm5F6Ya+wdmf7EGJNRonDIXtqFqcrmvErlI/OHa8ue0VRaLF33zOBsbLo2Bi7DJpRvgTHVtBAYzl5jk7q2SD8wRI3rM2RXlfk5ZBGZ4cg1rVVPF4Z6X3tZmId3ylejbIn02+Yu0s8QJvquvmjVyzPOjj1g9gDcLOODGrMXOWkA3uGxDfWXG78mZH/Meryn+O7lw6nfZS3mdPvfhF8aQ9tnM6mayRRpAGupi1A8Z0futPpR47WamZuCm6jzTiNCyptWtiZ6CsaKwKBMSV3pwnH2VnBpDLLvsRvLcXZZ6sY4CmLenHQ90HvuWJOO9B/uOVklIrNaQq9gvk0JDbrvzEO6l7oynH3PwUnPIXsutTELu6QMrfbMXWPnNvghJqNVYai3jOWNqS6mtEk1ReYPt5YnFtkzjOAwaK+yVvqlHjZo1yOza2lh4zm70o0LZep535gpdy3lJFhkFwkZb/QnhmvV85UlTPUUuWW1KulaolfHXnusTNUnPltWZyNFFRNzyBd+voKqAExW7A/NSkL8Ugfm/ZqQ/X0iWEffS5j0JIDTx2alfK16uT395MSGggmICb1QUekAvuZ8lpqbgog9NmYKprWZmePsbzVzUzDnq1G+MuRirT321KhfPeeu+M14reKtk2eAAyE2axmFA0h1b7R5L+TNCt93BvVKtFmCKjCGkp1SLLK3ipw6dY0lNjhsDLLXWrZGX+OW4yQdh+wptd5qozTxkpI0inua7rWJ2sifI6ZsteY4u8z17ZCpx0/Mm1I+Jvr32GqaMshmlhYKDAqjcW1FyJ4yVRVocROG5ey57qF68rbW0KTuXLNIzWuSOlPgfi1lkZpTYxBKlZncRZV0bZZH9lZm5ubkdCwrGqCvpUlRI3VzcupSt8QguxbCdiWZvl/cKqiHzv6oxhydSgCmj/teoeQPmhvzPsX3OFDp6CB8MD5+09kByGl5Yny0vXHG27ecz5InFzE3U8lCUU2rsDyyl/xSZadqjylvT6dgdRIbdWB3Cl3Zyk3BkKB0XylRuIfQnec4O0LJWpPENJbV64nT2WMKTjpSvd1zslrGQmPQNedJqkhJ2zl2abCzWk2GVqQKH0rw2mVmqx5TsUYm6oFRUxZa74zOvuXqlYwU240pOWM4zt5DaVbtVKE4pVWZiVVjUpyVa4H4xBYzrEzMbu+SsZhKbnd62IT1jeHsew5W+TGUCUCNVVnRGTWmpIs08079ypdcFilrYJT9kOBUpi6kxivswoqcJZ+VQiS+a8qrNVNlOPultEmJC3VzSuratpTorTkA1yVv7kXf31VQP3L2bzr75MT2EPf4Y6b49pq/cfZrWpd7k9GD8fGbzo5DjeHtMa73xHTzv5Vy1qZyxaWQ4WyhfvUaV2EXTo15K/GsDDMFr8YsHGe/5LZoeaFgOMdubGcLaLk7I94oUbjvUTiWs7c94+FAr+/vuVs9g+HsIQZnbacwaE1pMobj7FtJszEhEm9bYtNOcGpMTFEbe6Ve3XKctOfqJTFmY2WmaHKJUVqzMy6PLddJKxrZY7TWcJy9hwynV2pe5bRas3BqzJrDYmyn+HWPRXrNTYBLxkljTcSFtLBJN3OcfS/Bm+mN8pzU2JQTnM6e01WYZaP2ENdST1pX5ufoIQtvmGV1FXbhOPulpEVZUBeS8tXohUP2t1xPRl6pNZBSMxbc8xKAa6ryfuIjxReAH3X2cNPZp1Fn/2ErqN+8Mde8nu5NRg/Gx7IW/Y6zP7HHmF4CI5S95fLyZArGLL3N5BRMV8WTi7ecXrQh1+dxBuaTKXhWiiQXKTbjRMo0uQgJ3uFCkcQeYncsnz28WYHCmZhXb+a+M5w9B2emRvGyLcXF2pDp1XLN6aRtpKTtEpt2kkX2GK2zK/XY23OYNKuzh1icMSRnzzFqZ0lABLDmshgZqb1XTNlZyyF727OY7Eo9+HNejZmfcPZFW1ITbyFLb1KkJ8Al42xpIauHTbi5UTwDwJq3k5m/Ul+nxqac5FZWSRdtFvKheC3lpDXL2fcEbwrD2ZU785w9nbQBRSZSWp1lCdNbrmeGMJXUjVWRmasAVJOJCZ/oMQklj4qon+U+VlAPb4wT27vVJ5iouD9u/JqQ/b3rcU3rci9+PnL2azWn7zr7E86uW6EOFgeAt5xfjOHUmB6ynF2mpkuNq7anC8OE33J6ta7vxEyK6eLsC8vZS32xLGe3nt2Mh9RnC5KzIwQxucIYgdtelNc7xdlD3pyZOTUmxDBZWjdYU1yMC4xwtJZ8Mo7m7KFpJzidPaY4WfeWiO+zlzibJzp7cV4nCkxLTNZ7kngC2HI9OxMpTAwxeccie9+zms2V5uybcSe2gprjbDy5E6p7kpNJnOCQ+4uRK/W8bGGTfubUmDWvJzONoUwAamjKq8bE7ZV01e60U7fua86fjOG2UD1kOblMXUhNq7LzlWl3+JrTi2Y5uzXssnrL9WQUydlz7MZJTo3pHbKLnetf3XbMt+KzX0Tc+ncm3tFilXedffDG/Ji5Me9cj9e8ne5hza/2Q5BvuhR7vnN2Xo3pvcpWA9Oocinl1TLkoh+cfaK3jWm1/kSqMa33rebFTX2jpOS8WXcmp2Dr2Gv/pA2J7Cl253VkpmDMOFn5limdfY9yYvzsHS1WPeuN4qyxbJM7kxXUjp5yMn4i2eWW0+L9zjyE1pLOzkeKJufYrVc7U11MKU3OkxuaPYfZeXJf0oGYincmUo+EHKP10xNkX5ymOXtM3rknaoya7JXk7Gl1duE4+5bT7OlqZ9uznidSngZwyXi1knwotriJaSZ3kADWvJ/cPDZ449DZJ8Pp7DldnHslb93XnF+d4Tg7QhKT59QY618uTKHlUtKrczSyp6txZ3YrXNpnrd6oakqK3XvFEaY9dcjOPWn6HsQd2aUS2iCG2wxsqUojIQWA2X0MGPhh1Zj3nP2a1tM9GOCTxU/vfpp8KeaO7IJXY0pauzJXRp38mvOrN2XIVsax1TJK+YVWY+Lq/PmN2ja+lXTSVk2W4exfvf9Muh6vpc5KvlhDzuwcu58MSS5ihpI4W/nGqDFycuTuosUirfJOkJw95s36EyjXY8rJaKO9ZtSYdHZLoK4xtSohFusDhewlNuc1qcbknJVSJ+cv1PrcS1wsrbPnXJWSztpM3dUSk/fTmgh4yq0DmK0OTAXVT56soPZUIcTkaZ095dX5M+mNiSUrKa2jdbwWsppcojhBbmgdL1aTslIPu5wX8mmRa+69fbJuDGXCocbMhvTG1BIBMdnTldqZvZXy6hjOXltvXU0zp8Z4f/pC/lK9xVoX70FJhzmvzr2SyJ5ar71/tvYrKXKGbifDInsEVL8wPQ3fjDHH8Mv3NtS2Zrnc/HiTw/ahU+mHTRd4l/W45nW5c/bPDl/e3aB8/e5nl9OJ4+wlr127lUH2t1xenS0UPPUtickae6KnYLp6/0Jy9recXowVLLJf3PQnJGe/lHY28qwty9knS3L2PfbJiRejWDVmpv3sPRTh9fRwCO99bOkyT6+kzh5jcNZLr9tOcfaUXvyyk2s+xbN1ztKcvcTmZ00Szxijs+7EVFDXtJ2mmVRjYszeGedcjMSFlBj8vGyUiLGmMhvtnSbVmJiSn32h3rPvWUzmZPWVIvslbX56IXtQ1xzn28yhObs9L+Sj/ZJxMpiN43R2ubxU6j2veVvM8mLA6ex6tuSBZSVdjD0vZiZX1tecP3tLcvajfKrtKVPSdo3XaXr5Si2rrzm9GAtnODXGT59Iy9lbri9avRr3lebsbZotV77aIqTpF6YPue/7N84OYFrk/g3Z9yznG7IPOrsG+o/O2de0ne7emE9WfLnfoBobxPcDM+V8bhv925R0hZ5YZC/582zICmrfk5idtmeOs88TXeq5lPSirZhs3yiATpdp+g3ZLHcp9UWrs7ZvdK2vzctEI3vC7PCiaWTve1Qn2vV4tMnND7X77297mebPZKdSSME7LyfdKLxYU3z1LyRnf0vxxThvPeON6fNsVko2iSlaa1+MIzn7mvbTNGcS2VNxVjtLI3sOcZ7nlZIULqmcnXLWcGrMPM2ZKkIcq3ox6kr9HDFe5umVVGPWFBfj5WwaNXPanvSykDr7l9Q/WbFYt1E3p8VNn8/ke25HKBMVtweghqYXR3aK5HTR7nwyy0p9n685f5otvaxCEs4YeyqMzr5ML18pzv41x1fjxMTp7Kv1n0nC9Fbqi1GvxtLIHvo0e07k3FNXppPGBAB93cXpezz4dJL79Y7s23dkf/TG/KCJYK1BCNz7945w9uO/Pzv8dJ+c7wk7bsjONBanqzLzyvRkv+XyaXY0udiimKyx50K5EWq6LjM7Be+cnUSoy7T8KT0Fcz0b9cm6LxSFTKHPy0xStu3G2SVJLnqI+uQotLwhu7e0GhPSdV4+k1cRUnDGycnQnD3HT/M5lHVkJpccX4xzvBqznNyWCL08xuicOxlL6uxr3l+XmcyNCbE4p51jarYpLfN5z3HsnLqkerbaOVqNCTHNp5nU2fuehDcnq0jOntJlWT6lSNzxNcfFOjGZvnGc/Vzy3odG3K8JrxaLcSsFXj1s8rS0VMa+x2teuYhsACVUc55aCuMflrQae1rsTOqcb7l89raVPjZr9TWKxWl74nT2eX4NtZbhE7/m+GosvAFtQn2bpv/VcsBwcy65vRjJcfYc+7S41kqjWq5ChDad3goDfd1Yzr6V78huH3X2HzER7CEO7L3r8ZP9rsa8F9kByPnEcfYc35Q9X1mXYX51BkAbcp/7dnD2hew8rnFdppfaexw6G99yejVOzI7k7DFenP8TAdGGvsdLbmd9TEHaG+O8llKXoTdki5gdODWmhyBnB/Q62GMOYxbP2a+Tf4GSGEThmIJ3k5xYNebkJi1tGrjwW45na711TAW1ea+UVHEoC6SU7moMydm3k5ulwniNMRbvNKfG5BCt907bsQ31msqB7IzrMXnnFNWG2vYsZ7sYRmePF+dflFaj7r/luBgnJ0vuhFrI0ltj5jE65kvCJ4vZ2I16gLewyWmRTo9S+5o2LiIbtxPktTCuDz9WThdtTotZVmp1fM35xRrl5Og6O7bCxp65TiXtTmej34abc1tWHGdPF+depJ3qMOW+5oOz08sqxW6dsOaUKHVojX1ygjQm4ED2d5z9g86+ZTnfAOpxfWkJ/IDpAh8PVLqm9XQP8/rsxE/3R997YwwOzs70oOb41fpPb8xu662UV2OUVyNt73sUM8/Z40X5l1djRtr+czr7V+delDuNtP1LLn9iNS8IduOEs+dx57jHPllx0oreNu5BLJP1YqTCRzMFx9n3dJnsWXgiOiam6K2Xs+HUmNlYb5bR+PiW4ovx3k0cZ9dOnqxbBxQOMTjnzsbRnD3ti5m0k3lQAG5qjHOkN6bEqL2bjR8FmUsqJ6u85XT27J013uXh5vQ93zg7o8ZYd/bOjcbHLcfZODEbTmeXk7HuNJb7vqb+asXJTiRnb2ETfpaTHaX2NW8nu7xa4ihKAGWvalJyWsYiakkX484nu5Cc6WvOr0YrL0dBpm9RzM64F3JZlXhV7vRqzCi1f9sKk8ge05tzL9q/1PAYB3Lo7J+s+0KrMc04aS1xVwGsAbPDF6YhsW/hA2dn1JhHnZ07UP6PGr8aZCc4+3ed/R1nf1RjTm1lObvzny5M7fstlxejlZejPaZvSUyszl72r9q/fjLmy8Bnv+b4op2YaWRP6eKiCi7nAAAgAElEQVTsWbnTWMf/kusnqz4Zegrm2KyX1p7HKbjfOLukOfsWuvfGfbdkfRuHGvOoA35723z19iS8HwWZPW7POHtOs7WTPe0DD7rcODutxuS9mUku1o5S+8HZzwxnv6Z9sbPxciyihpAnb73zNGeP0Ti7mGksoh5qjPeG9sbE5JzTzpVBam9PK6gpXq09T54I8l1TXKyTsyU18cPPbigM+hLxyeLs/IX0xsRd+llNpg0T8nYUpcFXUmffm/ZSTsSZZTldtT2fmArqWy6vxiinRm9C36KYrXGvKX4lPjFetT2RhOnQ2bunK6gxvjn7ovy5hMfVetfZWTXGemHtmdQ519BPk/jC9ahfV7G809nfqTF1y2q6Ibu3iPkdR1fyh0wXeDgENW3fOpU+v3M9DmrMue9XcoOT08XzyP415xdj9KTqEM3Y9yQmaxxXQb1of/5kzejQeivpuc7u7Fn5cx2m4NdcX436ZNwXil3eto32HNMjK9lTn5z4ZPRXGtl3zN44kQYC1fYsvZ4fdMDvb3udzEnM02hp38I2+0XOulGK8IFQkz2NRdS3HF+Mm/wcKJf0Ddmdvw534NDZz8aR5eU174udzCTz8ITeY/LesDp7TNq52RLGx2sqJ6snb3cKSvYQ5skb78ciat+znMxiFK3GpDfnzpN3+0D2L2l/cZOYGM4esvTW2mXUMb4kfHI4WX+l7mrbr3I+kyLPeujsltHZ96onJaelD8he0tW482JYzv6ijZ5Yzm79ayaRPa3KLQyyp1fjhLeC+jnCwdndSxk4+yXXs5ZsBfXYCpsTWUTdYn/18gvretwfkf36Tme/ux6FgLP4vi3+MSuo7+PAcIvwve13Pjnx5X534ltxL+82NVJBm1ENBJDD12X6Xxe6M6jvtS5KaS/LEM14kAvrP5X4OFd6K61maSZyCl5uagyhsx+FGq0n7QiR56dUP1u6gto7Su7a0mrMFjE5fLaKmIKt9ZSFs8YijZw9FDFp7zDuLlqrpSVrJrFMfXvEixD3yXk5mbY90tIOhJwnRo25pHg2bnLzNmzwe0fN/abGjMieorX2bNzI2VtvsaTJOEsi+54nbzjOXlLSzi2GaFa6pnKyavImDFDSgRCTO9SY4W0P1+PZ6rFTqfdW8m7s4p3bh0fCJYaznWjO3o/WTWPtebS0f014NTjbiebs+yr8LCfCcnNN28ksr4bS2TtqbMpLQVmKU/jJ+k+LZTh7ObbClMi5JTE54xhkD29qen01mhI546txmBjXY7pYe9bTaw2Pb/sl12ciZzgIE6vGfJoFi+zXTSzf1Zj5LLf3asz0HaBmK77TvMPP/sO5Hj8eu3FJ1xf3cvz3Z4sv97uTvmb7+iGYlzM+pvj1NP/pNV9Hn8bXXF6NkUIor+qoxuy3KZiGuVLCm/YvAD4ZgrPf7FmUGhPTm7VnAHp6HQXBL6l+Mpos9eTYjRVCwFHbxi322YnPRv00kMS+BTE5CGEcRs7eQ+U4+56v3iwCQixTXx9X7xa3yc+k63FPyWkjhfD2PLahXnI6Wzf7eR+l29iUFUJgpnT2lBLnjVnTPhsvIMxE6Owh5MnTfvaSktJaCDEbP3L2Q42ZJrMPrTEpJmuMFMI4Qmc/BPHFqjFdIKdN60kIOXkXRmRP+/ng7MNOqKUijBJSGLuMGPSW+4sVZ+cvw1X0uEMbobSc7FhB3fI2m+nVEn72mpo0Qkgh59NoPMvxzbjXsz2NnH2rVQthpdRejs1KfU9itsa9pIEwtRIgpFSW4+wv2oqZ6EHNeVXSKmlINeYgTOSyqrkLAaWFc68kZ19D/82sWDXmI2efz3K/tgNm3uvsAGaPbw3p4taD+oNVUHurQn5A9vPdG6MlrMJaACC9faiggjc+5vhmp1en3EjKfsrpszUAtFcUZ08HZ0/xy8NLNbwpf8aB7IPO/t8p/MZ6MdkxXSDGN29fACj/UvaRXJRPhtbZU2hukgA4nX2y+Gz1T4Ow27ddzDMA6wTB2besFvvYI3e8Z7pO5gxAzFMfwgf2sE9uljPB2dcUT84BmMxpDAW75HjWdnLTPugGeW92kgBOzhFqTIqHzn4ZXtpymM0EwEwqEWpM5tSYEqN2DsBiCZ19TWWx2jszqjF7iJN3ALR3Y7NSD3fOPvwcKV2sOwGYvCc5+8l6SQniRxwYAOdfxgnwU8Rnh5OdLsM1tn2V0wmAnEwd3vbwnn123ztFvo2yVT0p3NoAB2QPX617Xcw89qB+zfnVGAB6VmUUOW8V1Nc8Eqb95wmTXPw4WY/yKQBSjfkplc8MZ0+xWy8AePcaqT3EGvCnJ8lWUD+6HqUSxoojy7dt33tQASz+XRH1x1Rj3uvsueYOWPX9IPPP9maPSV+zfX1Adtr4mOPXg1yMUvt/p/TZWADKS4qzRzFZegqGi3YvAEid/accPlsvZiIRLOWrtScA2r9SU7B+Piqow5467rcp6OwLp7N/tiRnv7XJaYfRG1PXLBfzmGsBAAj5OtkTADFPGDj7HveJqaBeYnhxE4DJnkbO/pbiq/WTn7ehszHvzXgJYKHUmBDCNE2vlkgXuKbt7GYAxss8QMm+sxXUvAc7eQBnu1wHK+FbLC9Wk2rMHqP3DgCps7ctycW+Ov11KL2meLHuBYD3bh++z01nn+1YvWh7kpMF4PxrHCbkXY3x12HmtP0q5xMANRFvu+V9MfNnh/8ehIoSqvIHshOhTCl+Mf7TYpZtUGMOVwIAPamyDRNyPSqo55KuD5JECV/19AqA88a8GovJYE8P2+8Qb8iuKG/MT/ng7PZtODHyENkBOPcaBgIHYA39Txd1yY08RKWv23vOjkOQuRzIXj6oMU6s33jVj3nyxntvzCVdv5nZj/HZ4aeI3npeqxk5O2V8zPHNuJcXdx6R/aeU/8Ty5GJPYrLazK2lh7PW6l2NIbeNP6X42fxv8t6sWZIkvQ47HvseGZl5b96l6tbSVdXL7OAAGA4h2IAm0EgBohnepBf+EuC/SKZHyWSSSDOBAgRincHSwAwH02t1V9Xdb+4Z+x6hh8jIjMVvmwjOS1v50+3yjowIj8+PHz/fcXeJSHyZZJ0jh+I6BDnZzGiC4IBnVY5PyyJpn/8Sh1vOLolm3JvGVn52mWUKIG7fcXe2Ol1n91NG4SUBWd49qSZM3ArZoSp9nT2MA0VSiMCiLMv28ig3jirOropm0HvUys/OsRwBsrZpPQlzXmYBqALFlx1GoSRKCsdnZdlpHD8Ja85OU2PiVJZ4lmUBZO01w0kY8bIMQBMVt4fsXpJrAsuyDMOQtK20hmFUcXZeFCkZVD9hVFFgGUKQtJs1jmvOLlLUGC+ONEEiHENYUrYH6dyLWU0EIIpGTNHxyoFIWIbhWTZsrzYuArdCdupUwElcQ9AFBjyznQ3v7xjmnMwAILLWz6AmkS2IJsewHMN1lgKsk2QkCLinWxVBTBSREJblu7ubfXW3crJkIIhgGfBs2bYVxYkjCgYA7j41huc4wogs63dCLipEadutons4uy5D4xiKnzhJCSHgWyi0k9qbuwsAUMS9GgOWBXkLdxcoit1sxUt9vX0y9UjEIkbq5bzKEqa15/p9Onsa24Jo6oLmUDKWqXV/CFZLKgDwopm2ESqLbFa+d9q4SqKhIIEQonQFmSRxhW0IGllI09kFDkBfE4yjUpSraeMgjNedC6MYsgAAA57dtBWAHWene2Pq9RQdyy0qNUao1BiJguxRIIkygD5t9+JIFyUAimgESbe3uGls8BIAWVQ6gkwaFbxccXaKNyaKIkmSAJiCaLeZaWWMQYXslAxqIks8gD5tT8Nwx9nd3pYjbpLpAgdAkrqCTBQ31ZgeTfZiogoA+rQ9qYd2SRL6aoyThLooAyAy35nwFUHCKAIqZO9hULUGFYDRE2SKwGNkHQDVG+MmXtXFho3FIlXJwqJWYygHllVTYQB9QWadNrpVn7Pvu5XR7VahzUomgAEN2bfdCoAilH67W8WuWKWvJCPvkYl1klkCC2DQE2TicN+tqGpMlcEa0LwJZRCiTdjR4Oy5m7LaXmxQJRLUvIq8nWpM83jrpshelbFEllGZOKlgdM81ZVSj8CjfJonuVWP2Ojs1BL2I6DIAoSfI7NQYahJ/nUSWIAJgVKn0W90sjDeyOEA1beyFYKWzAxjwXXtMEtbkQqIIgpXrFhWyd0IwCKv0vSBSOHvup6wqAFAltJ+0QvZKjVFKv8/ZQ1lUUDHB9hzfjSNti+ym33tHN010XgDQF2QaagzFzx5FkSzJAExB2rTBq1qmhEqN6Y1eYZxWyN5frJTGMS9JAHSRguxejex942MYxbIk4SvVGACGwNvtVU5JspXj7tHZQ0OQADA9QSYPElbZqTF9ToCBAACaKHntJGoZeoysAmAVoa+zu7FniDqAviCTRTm7RXZKBiuNbUEyARi9Bd7LuObsVDUmiKshqm+PySKHkw0AQ0FY99JXyzgaCTIAyF1k3+nsrETV2fMK2UeCvGpzgjgsRIXBVo3pdqtqC1WOxYDn+knUwvEYXe38o6KzgZuXcU4YEH6PuooEv8HZf0nZU+BrhOxNb8yOUOzKWMIiQuJkgtFdx8VqZk5D9opc3KfGWDwPgFfY1Kchu1ppqd0kar73xgj9DOo6jQe8CICoUuG1QjCKNpJk4R7OvgtBKmevUz2DqCfjeFGpSgRAX2ov68MBOBFJbxVPEW45uyo1dEAAgB9vVHEAgKhyGfR09ihQJAUAo/Q4exJvkV0wgl5vWcfhUJQBKJLcscdUZnYAmijR16BKIoCBINltgHYT3xBVAF/hegQgSVLU9rEkQVipMbqguD2Ph5vkusgCkCU+attjwmirswuSlPS9MV6N7CLndDm7J4g6AFkSo947ekmkVTMhTSz8Nmf3azVGMvpynJOUpkAA6H3OHnpE0QEwavc3Uakxog5gKLa2yEa9TAn36ezRpuLshqg77edZJslXiZxBXHF2oc/ZI6ciTEOBX/b2bFgmYcXZS1noEKY4dkTBBMDRloms08wSOABDQeoheynWGdQ+svtRqe27Vc+b4HpE1zr/WHH23EuYBmEHoIp7zv6WZlCb3pjm5uxVqZA9XqfioMfZtUHhdXMgRZ4CJcuJhqDZPTVmk6aD7bSR65CLMs0BEIEDlbPHbuWNsQR+3ebsUZ4RQGI5AEQTOyEYxRtJHICms1e7SMssA2AoSOt7yIUkDjqpnixHUULkAVDsMbstpEWJJGFbgs8KFCURWFScvc3L/djeInvPG1MURZZnAi8AYFSh8NucPdqqMapoBG0nWVYUcZ4rFWe/X40xJdlpV+V5nud5dceBIHUyzE7sGaIGgJeYjjemKMssK/iKestyGHbuWGdQRdVrTyCKsvTTTBd4ALLEB13OHsmiCIBX5LQjVRUlspyIPACzh+xRtJFkC4AsiWF7/VdRFlGWKttWFTucIN+pMb0MaglsEgxFAOgbH4vQ33J2TczbVLcoiyjb2ooskazb+cUs2J5G2ffGlGWRpyEnaAAMUe/0rHWSDO9TY0qUYboTOZOoQ5jsirOPRGHVRvaiLN0s2RKmnhoTJ06lxrA9b0xRwssKg2MBjERp2W6cONhzdtpUGIoEUKfCQOn6pMfZVYPx7SL3EraN7G3OzhCgvwPdP618bZC9ydmd2NPFjs5OlnEZb1LR6iO72Vdj0njLLEzJtHtUdxk3yEUH2b2IaNs99Wmc3eUkHcC4F4J7NRAgPTUmitbyjrO3n6dagFr9PRblZdJRY7bkQpS6yO7XhB0VuUi7nL1K3/MSOmerNw8HUCXidTm7rUomKs7e9saEcSCLW7MXq/G512oBNw73Onu7t2ySaCBsn7W/WGmnxuii7ESdEXErsgMwRamjs7uxr4sqaDp7FKWSxG3vKMlh++C3JAz5LbJ3ObsTZ5rAVamcvj0mql2Pgiwn7dGi8GKiCCAAjbPH4UaSBgCkHmf3kljlRQICgNG64FX4CavsMqitVl3H0HmwBAC03mKlInAr1yOrdpHdTTyN16o7DntqTBrkvMICIEo3g5olHicohDAADKE7G14l6fAeNaaMEiJw1VIdXuqnr1xWMgCMBGHZzpFu0tjgBKbaAlYRCr87FZblIQBO7nYrN8tVlqm+I4WzR+XOmND3xjhBaSgEwIDqOqNxdtVkPScvvLTD2Zt5LPJ2nqnUOlAp7evsWESIN6nQ4+xUNSYOloI0BDAQzU1fGUi35IJX2Kzty24hu2h0FiulwZqTLQAjQVi0Q3CdxlYT2b22zh6tq47NSWbeVmMWcTYSty8+EqRFm7TGtddbEgdR1MqgeiHqJ4XFc101prbcijKiNmcvgpRV9sje0dn92FYFAzSdPYxDWdrmjhiV73B2L463yC50dfZ1HA7E7bPKkhx2dPaasxuS5LQheCeyAzB5adNmXk68VWN4me3o7GGUSlK9mWqfs4dRpbNrvQzqJs4G9YX9DOpejVHkpM3ZC38rxQAwRN7ucXZRMgH016C6SaiJu8jpc/a4+llR6pqjllE5qod2Q5TcuM/ZNVTafRsQndg1auZkCV01JvNzXmVB25Qpida8ZNV31O3286yS+wmTG+66lSANkrAVyVm44SQTFbJTCFPtHFfEjjEhjFZbkVO2smDTvnArxQAYCfIy7k2F6wxqX41xw1KXCYCxwC0oagyFs2t7zt4CKFXCft77lp6p1PDGuI2NHqsyksgiKu9RYyicPY5WojwEMJCMDSW1stXZOYXNoqI5ipZ+RNRdCPbUmGDFKRaAoSBs0rRoTKyanJ3Ruv1zp8awUrXX3f7CZZKNmiHYmTbW3hhR0JPULxvHunoNzj4Q2M6qitLbxh8vkjQumptX5y3Ojo43JohtVarUGKkMWzt0+6GnytuYZjWhx9m3rkdJUJMsKhoOxXUS7YY9pcfZEz8XFBaAIohxlmWN7ZEry2P1tymIHZ29qcZkUfNrIAgSRd7iLIWzR5EgywAUXkryLG+0jh2lg3qgVWQhCLs6+9YbIwhFnhf5/h136VMAhsi5bUSIwr0aE8dJ81ndODJq8GI0oWi3au4nbJX14ZU8T5qbiS9jjMXt36ao2u1WLQKPUVQAjMiVRVk23Htu4umCXv1t9bwxqV+rMaJSZkmZ7++Yxg5fX9jPYK1qNYYVmLIoy3z/s4UXMfr2O4rSMGlzlCxyKj+7xLIAwkarNrtV3xsTxmtZGgJgBaUssub+2LvcFaicPSgkmQHAcRLKIs/bkRxAVwiAkcgte0sTqJxdVJg8L1M77nN2v6mz//JSqF8bZG/q7PdmUKlqjGoWfhfZk2gjyBYASxpQOHvtegQBKzLNfekKL2J25EK0OmpMGq552QLAEqJzXNP4uE4ii9/2M6JKZW/aWHF2wrAMJzYP95rH2aG0hZKxSCMXEgOAEEYQ9CZr2xljAIwEbtEOwdL1q/gjBILIxA1KW5nZq79pGVRbEU0AYBgiCs1NwbzAVeVtx2a0rs6+cz0SEFnQmlL7Jg4HtYyjKprfnuPHfiGqDAAC6KLoNVpgZ3kEMLhfjSEMOJE0BRk/jDVl+zlonH2rxgDQBNlrfI5NnJk1Z1cVwW+ve/T8QKsdb7wspY3GKf2kSrwDMASu443ZBwAhsiwFDb6/Dr1BPV4ymlh01ZitpQSAKOpNe8wiwqgGvYGkbNoHAhf+hlEH1d+sIuSNJKqT7Dk7XY1RWQAghFH0wt/fMQ63hAmAIVA5+/ZR2bYgU7r7qbAgj+Jw2bwwC+3KmABgJLR0zl36FEAp813LWbgVOQFwipWF+966Sb8S2WvXIyqZq70G0A1LXQaAsdjtVgAK12N6yA5ANZhoSePsTT/7L698bZAdeYbW8dZtNUbEKkbipKLZRXbCC2DYzjnrcbAU5REAUzQ2PZ19lWxdj+jNHHfGGACCPEw6IRisOXVYP1Jr5rhO4oFQIzs9g7oNQV4ZpsFqV7WIs7HQUGOSDrssa4G6m0RtqjEHIjfvILvj7eaMkkLioEGggiayw+urMRWyA0RXS3ePF17oa8o2plm1r7NHO1VBEVqW9k0SWXWVKmt+0EH2XFS3Qa9LstNG9p0aM+i5HnecHYCosnHD5uT7iaLcz9nrNagANEFpLkPdNDi7qoh+e/rvh6FaLyvvSO2FF+84OyWDGm4keduqiiwFjSFhEwcDqYHsHc4ebDk7tum+PQat4nIobmPDlNQusns2o23vyLYHDCducvb9gWVVyfycU9j6ecw2sm+7FbbemJZWs2wgO9+2x5T+HtlFeZiEq+aFabDk1e3PDtuCTJuzix2RM4rX1VQYAK9YabCfCsyi9EDcBvlI6GVQ6wWAACTJCttziKYas+yrMY5PjK4aA0Az2XTT9ca0dfZqR7C3LIPa5Ox27Jii3qwdSyT3Mk5mCUv61/al9iRcCfIQgCWa6x6yz+P4UNz2Fl5hM7+N7LsQVEZx0EH2DS9vI2ncltqnsT8Rt9+bkkGNt5QNVGQXm5y9LTT7hazWIdhB9oYa00f2wvMZTa1fhGkmUXN/v5iCwtmjTQPZtdLdo7AfuKq8RdK+buDWnB3bJOoeEaoMavW3Jmtem7Mnfi7UyG6IsttA4SjaWh5B88Z48XZ3AQCCyiZNZA8TdcfZe8i+09nRs7Q7cWqI93J2PwhVuUb2ttS+W1IEwJA4O+qvVDLrn5X9xoWb0B/ssxdCV2f3Y7b+WUkexA1XyTLGuMXZ22pMA9mZdhLVbXD2kUgWUVeN2Z8gr7akziRYCkoD2SkZ1JowqVzq7VugcENG242Iw7iN7Jm/4pRh/TzCquEnXiXRaJeE0MTC7aSvVnI90nCylTWRPc4O625F5exCzdllaRi2CZwbQFeAezg7VY0BoBpMascdbwzHgiHYzt/eTtdjc98YJ3bMeqPHqmg8xnHCWwLtSorxMYlWojQEwLM8z3LNTcG8LGMJkeuZEaewaZOz+/GOs4vyOA4Xu6o89ggnErYmAmIL2edxeFALDp0MapZFAOHY7c9y6jDz95G9TJoZVLnJ2bO0LEtwQs3ZJbNpaQ8iqPdw9jKOCcPuFkBLChM3lIrciVl925KaBK8BemmeAODrR+1wdj/yGzo7nzfUmCTP0jxX61mLKpp+QwRbx6FVN46m6F5jzXB1yh3L15lASbIbKOyH+ztaorxqDHtJnuZlIXH1BEtlEr+hxvixuuPsbTWmKIo8TXfIbkr6pmGFXkeZJdE5e5blRVEINXh1ObsbM/r2YSyJXzdSr0We5nnC16aALrJHfpOzl01kL8oyyZjdSQ7yMGxygqgc7xItktpE9jLPyixldkYmVcy9JrLv1c5DGbNGAJR5WaTl/gR5zbiPs5tCy89elKWbZdWOYAAEjU28ewiTPEyi/VuURZanYWU5Q88eU+3Ysf0/Nal09u9YFFmWhmL9IrzSQvZ5nB3sulXHclYiibciJwBFHgddZC8rnZ2O7J5PNBpnH7C5l3bUGACaTLzKwsCywNu3u0Bzf3Y7dow2sgN4r0yLnhRTFdawcqfFAuJwVens6NljZnF8UBN2ALzKpY2NM5oZ1A5nT4M1r1i7/xwLYnPaOI+Dg5o/MrrUJBdRvFcD8ZVqTEdnj/xCUvdfUJHHQbR/Hjfc6+wHEjdvkMTSbU0YRZlETTXGTZga2Q2FOI0qP1qr9dwCPc7uBZ624+xqi7NvwmAg75dc6/LQbfCydRxZdZKww9mThhQDQJdanD0IAqXWtceSsmiA105k375jR41pcna5xdkT3xeU/aMO2shux9sDctHj7H4QqI0Lu8juRIyxjZyRLKwaS5yiaC02WlVVZL9x4TryrRrZSXulUu5FjCLujn2XlWHYCMhFhFEdyB2dvfBsRjV2F7JqS2dfhRurfp5Dmcwa1qmtyF5PjFnVaM6G43AhyuPqb72txiyTZMDzbH1HXmtx9tKLiL7T2VucPQ3WvDxAfcuhwK/a3Wq8I0yaVLiN+dx2Hry9kFOsNKQje4ezx1HBCwypO5Ys9zh7rcaM+t6YLCujpLk5+67oFgs/Zk2p++9ybSx+W70xW85eovQS3xC785138jTS6ZydNUYdZN+pMQAGktm0x8yi+FBqIHs7BAsnZIztZxPbqZ4sXHMNZB+JwqJhTJ5F4WGtCBNTKe09BoXhWmp07A6yzxtqTEdnDxtSDABFHgXBfg7htzg7P2+k7Dq0QlSYOGhzdmPbArpC3CayJ05leawKo6tFk7OH3k6NYXU+9/Z33IThQN6Huy4N3QYv2ySRuaPzshqE/o66xA0pBoAhSk2d3fd9Vdm+yEhSmpy9KbIDEDtqTJOzSy3OHvuBqN6P7NHe9agoQtA4KNYPI7Wxd2tnsVLh7u0flsSvw/2R21Fo70R2AKrc4ux21NDZ1ZZDMXMjTt8jhSwPwwYmNtUYU1ScONy1auFtGG0fcoza0tk3sT2opaEDCat4v39d5mWcwjUubNkT4mApKg3OnuwPP5g1FE4AvM6lbpNqRE3XYxrbZe1HyvzVLncFYCyK80a3uouCo1qqKitvTP2sYbi1PFaFk62s1a32OvtYkBdxuPMjhV4ha80NAEZNwgTADVFlUIcCZ6d53lDGi43DDPZDZrPoA5aJEtYUO/+u7qbFb6kaU69UCtJQ5ESWdPPIp1nqyHTOzhjDosfZd0l8SzJXUXMwTw7E/QjRDcGNTwa14MBJhLBZvVtpTS62peO9ncXBYc3Zq4WIZQ21fjBTlcPd/9lRY5o6u8rxRVmGtc8sCkpJ2ceQIh8E4Xz3n7Zfmmqd32eIwOz3pSudluVWUpioqcY0VsoJHBgGO37phku9nm4DIIbWUmNCf4fshGdRL9kF4EShKTU4exvZF5E/rsGLZTmO43cbuSS1MaYqpiQ31ZggDJR6KiAwrMiyu7187dgzG8guUDj79h05jiOEpLWRKfED4X5kX0fpoFZjWIYReHa3WMkPQlXe46yoKHFj94XCjpiar3EMUTYBENwAACAASURBVHh2l0TdGWOqoihyyxsT7XV2wrNgmd2ZebkTscb+jpIyjBrgtYz2GVSWYWRe2NmKcs9mtf1YwulS5uzvuAo3w3pGyxIYwt4eszfGAKg2ZbpHjeFZXmD53dYxd1F8JN07FS68iNFr3kNYjtd2W8ekwYpX9sg+EcVpkzA1uhUYQtS9NyGMVpXlcXtHxUoblvYmZ+cZRuf4dR05HcIky6MmZ89yxGmpSAQAQ2C2j7UpNw4ZtFKAu6JpIEXZ3MJ3+++1GkPeVjVmu1LJ7onsVTmI0pl0jxpjDnO7Neom0Uqov/pYHi3D5mDeUmMEnUtcOmfHVpDZ0uQsaHH2gza5WMThTo0BQAy5rPuSH8xU+WBX9RUZVABjUZ7XzLRLLuRx0ND9bb80G7jflNo7nF1SmMhvcvaENfZjW1OQccKFUU+3sdXZG2pM6O7UGACsLuTOdkxYh35bjRk11Zh5GBw0alVZ3dljOpx9IKubxl4lQRAoDQFkJO4FmVVgD5U9eAkqkzTmJX4Qq/L+K6uq6vvbn418X1L3jdNZ8bAMk5G8bxxVEYNakPH9QG0MCaKmxt7+UXM3Yhv82pKFde2FD/y5ou4DQFVkv+mNaejsAFhTyu0aoNu/2eHsdyGOGqqA1ZDaC99hGsjOGnLekAfX0caS9rWHEpnVSdTuOcP3e2MADCVrXWd0Z1E8kfaPyuts6jZdj/uVSgDEhiDTQfYjSbprrEOeRv6k0TiMLhd1t9qtEakKJw+yphoT7c3EACaSelerVb1uNWrq7Bu/NNU9J+/YY4qNwwz2TdcsYpbGHJ/2DjzQ5dp+xjIof2mLUL82yL5TYzZR1xhTFSNIr4T7dPauGtOcNo7k4aKBpLM4nnzFtNEJiNHovQ1BpoPsR5J4G7XIxS6DCoAxlKLO9gThQlHuR/Zkr7MDOG6EYE9nb4WgE5SGukf2w4bUXnoB0VqneVVbjFYldxO2oWuZCrH3yL40mpxda2VQg9BX5CYGibm9bYGuzi5ZTc4+j/yDRv/UZN0LtzQ5CYomsluKsm4QYT/YqzFoS+2r0LakPQMQlRZnD4JEVffvqCmaV48lie8LTWSXW5x9ESRjZX+hogi7JGpHjZE0NWoge5OzAxhK/Kom+2GwkJV9q6qK7De2bbCjYNCY7jDGHrwyJ+IanF1WWhnUu6A8agztZkNq3+rsdeFMObObs4S9zo52EjVxW2eWdTZSTcL1TuQEMJStVQ2m0zg6vD99Vax9ZrBvc6FhfMyCNdfk7JJ41+hW0yiYSE3CpOySqJ4/VdX9VJhXR6nfSEIkLcJ0JKnTHbL7paw2p8JtZPdKS2sQJombNjNYG4eYdM6euXEhCO6muxuBKtUZVIb9pe0t8DVC9rIoqv2LnYTC2Yu04JP8TXkfsg9zu5GTSVxCGK52xI+V4aLx5TqcvYnsZRCD5wi/BxpBHu0s7Yk7FfTJruq4QS7cLOEZRmb3kURMuaz7UhAulAYR5htqjJcVWVEajTseSertDtmDQlIayK4cBMFWjQljsCwaIwLGDc5e2A4x920oa40TeOOcMIQIjaRlQ2p3w5Xe6LrNDGqWpWme7VaEoo3sdhiYXc6+bTc/TQghCrf/dk2cjb28qcYMFXVZV6VZihI8v7+wieybyLXk/Ts2zRh5XqRpLor7C1VV9bzdLKGjsxuber+HKCvyslQbn0NTRG+H7B01RtPi+jeRFihL0oCSocyvalEl8Jeysg8ATZG9GtmzIg/TRGu0KmNKxf8Pzh7liPLtFr71HbVlnZoufLups7OGlDvb30zyJC0yld+3wKFM5jVn72ynyhrDHWcqiyxLPaFB9kfSYFlz9mkUT6R7CFOWl3G6MyYAkNRJ6N1tW87fm9kBHEnStO5WcZGHeWby+59lDHnnTQiCeVPkFLSDxNv2jrwsnTS3+CZnV6Z15HQIkyyPw4bOvvbKQQPZTyT+tmFzKjcOGVAUBQC5HUMR3FUX2RveGOaXdwzq1wfZdyuV7IhijAnnCQbCbUhvFcZs6eyRPxMbk98DebQIW5z9PjWmsAPGbO2pLynjqFZjEm8uqPv+eSxLt/WcehYFTSkGbc7uB3O10bE5ZZjU5OIuSk/ayYMmZ+9lUPdqjB20pBgAE5Gf1sp+uXYYa9+GisaEO2R3YqadiDYU7LxkHTWGMfXC3vJZ27NN1STY35QzxGzH2dvEs6mzz9qEHYChmk6dlwudTGpAyVDR1sH29X3fV9XWhSNJWTY5ewPZJZ2N6um/40a6LjVbR1VVv/7Zr8igLoJkLLcbR5ecGkoc19ObeemGGlO6MWO0TBFNZA+DhdKIHF1TnfrCZegNZa3Zqqwp5zUn6CK7Mtp5Y27bhB3AWNEXwXaIyu0VazSyi4a809nXkd2UYgAcSHvOnjoZfw+yx8FCkIZoPKolD9b1ss9uBrVhTNh2q8bDytpR5E+3d/SXTctZk7PPouBQar0k0eU9Zw+mmrJnWrx+kLqz6u9FnFn1tm5VOWp0q8ArlFYGddjm7GjMLnAs87eNc0sK22XuR3bWFDfLPrJv1Zitzv5LKl8bZN+tVLIT1xS6851wFvNj8bZ7DsS2sNqgCL3dBheRdyerR7vakTJcNLxi0643hk39vGrw0g5IB9m1SeRtQzBxp4Kxj6RDUVwmSZU3n8XhodgyQjXtMUE4V+QGudAPU39R7QBzHSZdZJfV2/A+NWYYRZvKVOD4LSkGwInMX9chWG7sJmeXFCYOy2o7lv5Go6ZKbP8eNcbUS9dDUQCwvY2htRChzdlDs+GNUaVBELvVbjXzKDiUWq1qaKZTz/EjJ5f0ljfGT5Jq65iOyA5g3NDZ16FjNQwnosYmQVHkJQDHiwythbOaqu109tj3xcaAYYqal4TVoy7ClhQDQNf2yO56vtFYoiLIcpYk261jvKSL7NLe+BgES6WpxqhKHCdZngOY+85YbUU7Y0hFza9zJ2SbWR/JTBKvCoBpW2THFtm3Q1RuL1ljf0dGEco0r9LdHSkGbeNj4qaC1lBjFL1MojJNAIT+nawdNS+0JGtdexO6nF1hs6goixJUwqQeRv6svuOdYOx/dsDzSVFUW8dM42DSJUxysZsKB/OmyMlJZpElRRoCuA7T03a3mojKtN6HLvIKqYHsomimqZ/X52Ju/BZnP5b4m8beQeXGvpezOzE/FO1F1/+u7dWYt3IN6m5HsN1pL80STGPjWLjy72kUQhjd2iVRI38qNUJwLA+bnP0yCB80MIgwhJWYaoOBfgjK6nHo31Z/J96M1/YAzRIyFIQqiXoZuA/kTv/cq6V+MFcbIUgYjpPMSpC5DdOTNklsqjG+U6jG/gsSwgqiUe34aNcbje7Kqcxf17m+rTdrf0dICqmSqNk64qyWMaurxjT8BmAYoqml4wFwfMfsILsh5s4W2ZeBN2wI4gxhFEH34w2AReSP2shuqqZdryyLnEw29shOCDFl2Q4D9ER2VGpM3T/XkWNJeuNCiBobezkAxw0NvYWzqnIvZyeE6IJiRx6AZZgM24hg6JJTLzqzXc9oL1ERVTX2fWyXKbXuOFL4RbDPoMoNzk4ATVU8LwCwCNwDpYUULTWmPgS1flRGkqzAXwC4DcrjLmc3Gsi+YM1Rs5bVpSqJuo72lseqHMu4qSdtiZMJzVUjhLC6lbtrAKF3J2vHrXe8X40BgaBziZ0BKNc+sVrtJqmTyN+qMR2RE8ChKM7iGDVnb1YRSy3WW8XJC6ZNNQaAoG8FGQqyN9SYzlSYEEZVDvx6DmH75aDBmY7llhpTrGzGomdQs3UkT2R7QePsFRJwb/cJ16to3eEUAMJ5Mj4R3RRhd0TcFm44yVfbbxP6U6mRWjFEPc7ipN7O7TpsITsagkzphMRoVcna0V4QdGeC3oqkI0m8jSIAV6H7QGkhOzGVclPP/sKlIre6mWBMEncK4CZKj6V71RjfyVWj5f5UlUMvmAGw/dacEcCpLNxEO87ukHb8ybUgk68jdtDCoIGKtdfwxjSEIwDMwCzWNgDHs7+Cs88996DNPU3lwA7mAGahP5FbqxNMfWA3OXv7nKyhrK5CH4DjOLre+s2Jot3W4LUK7KHceh7JYCOnQvbI0FrfsemNCW1bNltgOlatebAGsAiSA6U17Bn3c3Y0BZlNxA5bGDRRxanf8MY0hnYAhq46noeKs7eRvanGpGuft1o/q+kT37sDcBt0OftBh7MPWt+RM6TMiQAswuW4kbEE8EAlO86UOK0MKipLsb0EEHq3UpuzNzOod1E0EVtxJQz42E5BJ0yTcDcVdrrIflQLMneR3+XsQ62skd33Zx1k57WD1JsDuAqT0x5hanlj1BYwauqxWxO4dTuDeiIJLZ19uSYjC7SSLSP9TN30OPvee8a8nTuC1d6Y/mwRQDiL1QPxgUou76Ht7HCS1cge+VNZ3ccKARnKVkXbnTQDYLTPHRcHfLxOABRrj2njpaQdh+4NgDwJALDtXeOPpa3Ufh16p23wYoZ6sfIAZHmcpYHUfiNB3yL7bZge93T2irOnSVkUEFpyMXTt2PVu0DgcYFdOazWmTFLkOZFb3UzRtvaYbB1xVls30MnKBYC8SOMsVNpJDmIZ5cYB4Pi2odKRPc7SJM8NqYU0A3Wy9u8ALKKgw9mNmrPnaVnkJS+3otRS1FXgA3A919BaD3Oi6BWy52URpFFnOZuk18juRbreAmhN1TzfA1BkWZakQlvkOVCshb8CsAzTUY+zu24IIMvyJE3ldqvu7DGlE7FWH9ljAEWRJ4knya0A0DXNcX0Ai8DpjIg7zl5mRRGkbGfyoU18bwrgLuzr7Eals5dZWsYh06YarCHndgBgHiwO24P3AxWXPgCURZmFOae2AIg1R7mzBBB5U7mH7MtwDSAry3kcH7cbRzS5ZFMhu8+YnW611dnLPM1jr6mzAziWpZswBHARuGedCY2lVd2qLPM4thW5NUTtutV10OXsx5J6HXoAygKhXyh66x019cir5xBrt63GyPzNTuR0PPA8kbprkaqSrUL5RGFYsstpVcVQiBuW5XZHsLfRz77dXWAZrkdy60uXRRnMYvlIfKThvHum6bY0OXvkzSStzQLUw1tvCuAqDB8ocudaccDHVQguPWbU6g87zp66M75N2AEcy1JFLijIPtKKpQvAda817biZd8I2BGcAbqP0pM3Zj6Stzh44hap3P5+unlTIvnDKod7T2YMEWymwO2GUdTbwcgD5JmIpyF4CWPtTUz4g7UfdcXbbs7tqjLnNoC58b9SWTQBY6mTtTwHcBu5JG2XMWmeP2unT7fMo6tL3ALie2+HsxzWyL4O1JeukvRRQNrnQyQC4bmTora+sqZrruQBCx5V62zmNVWsebADM/bijsxu6XKkxjucZmkbaF0q6HjkOgHId0jh7jMryKFuEtD6loW+TqPPA7XJ2S8lXPoBsE3ADubPccYfsfc4+VvWF72Irsg87F3KWkq4DAHf+/FBtTSAealvOnno5r7KEaV3ImqPKeBZ6t830FYBDZTzz5wCugnAiSVz7joK55ezlJiBm61l3akzizXhtjHbjPJSVi6BCduesHTnMUCvWPoAgXEqSRdrrGQXtsFZjupz9TNEvAxeA7+aSQjrsWVePPe8OQAms3HJkNDh7I4NaLFbMuDWW7EtZ5puIsyTrkFtNW7SdZSDxxI9KsOwv66g8fI2Q/Ss4ezhLxAHPCsyZSs69+zj74R7Z/TupPU071ia33h2AmzA8kaTOteKAj9cVsrsdZBeVcRrbRZEm3kxo9wcAD2T5IghQqTEdZDeVMoiR5a53Y2innQubnP1I6mZQ53GQFoXv5KrZnb7p2rHn3QJYOuXYaHWkA5G30zwpynLtEKub5KnOfAGQrSLOanUzXSFxWiYZVt7tsE3K8JWcnTPFwkvKrJh77qHWvaOlHm38KYAr3zlt01JV0aI0zvKskz6tykQzZp4DwHG7asxQlKMsC/Ns6i0n6rhzoVjbYygZVE2L4zjLstBxFLP7qAeKNfdXAG68+KR9oaIIcZJnWe64ntE7SUc2jcB2AJQ9NcYUuTQvgzR3nWtNP+lcqGuqWyG773R1dl0q47yMs2ztc+15AABVm3juFMC5Vz5qDzSGKIdZkuRZbi8Zs9s4/FDNVj6AmT/vcPaBgLyEmyJaJWJv072dPSZsp68AmKKRFmmQhpdheNYnTCZf6ezF0mWGre8oSIM8i/Ms6ovsAM6Ubbe6CNyHHZFTFlCiDBPXu9HUbqzy+kFFmG56ljNLkAqUdhr7dqH1upWqTSrOvnFLWSRNM/GAZ5Oi9LMCQLFYM2O6FJPbMaPwhGOGky6yAzBU2P7burvAzhvTd2X5N6F6IgF4pJOLe5Cda6gxvn2hmmfN2mNtUnH2yzB82A9BS6g5u8uM25FEGFEZR/4s3lyJgy5AP1aVNxWyB14ngwpCyEAtVp7jXev6vcj+xk/O1Pa2n4Q5ktTL0O2kT6uiayeOdw1g5bSYBQCGYCLxt1FarDb9ZXLagK3WUPTVGAIMNLJ2y5V3O2ynyAAw1pazb9y1qbVVMoawlpStornvjrUuEbZqNebKd07b4EVAdEV3fDt0MsnodrND3Zi5DgDXdQ29i8ITRb8L3Km3OtS67Ek2uMjOANhO1MmgAtA13XGd0HElo/ubY9VaBGsAN2500pZxCKBrouNGjuvrvR3+lIEZbmxskb1be6gKsyBxnRvd6CK7qWu2U00+3JHSiRywQyVfBdk64Kzub+44+xsPj7vXkQPFmPl24axYo9s43FBLlz6AWbCY9DmKSq78Ml4l0rB3GuXgIF/PAITujdwLj0P1YBrML4Kg362E3VR44TIH3TaXtZPAvU6cadMYU5VH6pazX4ZdNQYAM1SLlWe7l6bxsFMlGiexfQ3gKkge9HYieSjrF4Hr2RTCtFNj5k55aHb3hDlThPNqNrxYkXs4e7oMuZEMYHTEre66yG6qxPFLvJ1qTLVvjJf4AssLbAvs/Jtoi+z3qzHs8Chb3QEoijQK5p0QPNGOKmS/CaMTuY/sfLxJkReFE3ZSPQAU/TR0b6LNtTh40Kl6oqqv/aAoy7vIP5a7nZAZ6cXSdd1rXet2bNE4iu2brCyvw+SR0mVJT1TzjW/306cAdO3E9W6LAnbQUgOr8lARzv2kmC+Zw1H3wgHrbXKUZW7H7KArFFaCzMq/HardrkuGg3KxKsty7a6HPbzgR3K2DBe+17HuYauzT/OynIf+sdKttYzhyl75q0ztQclEN6aeA8DzPV3rXnii6DeBO/UXE637jorF+eusLMuNHVi972gapu3YkePKRvc3D1Rr7q+LErMgmajdxrFMZbUJVrZj9ci+bJqBbaNEaUeM1Y2riSpOvdh1rnWjO7RbprHaOCXKO29zpHWHYXak5gs/XVE4u6Yf+d5dUeKyx9kBHOvWtbvOVlPO6mI3P1KztV+iXATLA6XL6B+ouPIRrVJx2I1GbjTJlrfYInsXhSfqwcyfXwbhmdJ9VHHAJ3aKkkKYAKjmmb95kzh3NM6unAdBCVz2ODsqqX3tO86VoXf7o2Q9jNeXqLwxvW71SDUuAse3C83si5zHnn8LYGGX4x6yP9XEV14MoFjez9lXETeUAQwn3LLP2RXiBOV2L9u3zfVYcfZVtB5K3bbzriLtVALwjk6+cO7h7NZh4dllEofOtawdEaal3h5rk1t/CuCV7z9ReyFo8fE6LdYeM1D6O22q5plvn8ebS2nQ5QiPFeWNH9xG/kiUxV7imxlpxcqjqjGi9TBaX1wGyZHEC0w3kp6oxmvf8W06Z3e967VXGgrp7wn6jiZ+6cXFfMUcdCFYsxh3nedOUs0ZO7VDnay8cu3fUTj74aiYLTfuWpNVjuuiMDeSs2Ww8N0+slc6+zT0RpLC9eah48HBcjMPVpk67OrsR7p559h+4AuCwPYOGDtWtFvfnXmrQ7X7juqI85ep40ayzPN890LTNG3bDh2nj+xjxZr763kQmyIn9Jp1ZKmrtb9a2yOrm9hXBma4cUovJlJr6XJVJqp458eee6v1OPvIMlcbexl4Ci8ofHcsYcdqvvSzdcD3OLumH3nu3W1QWiKkntXi1LBunFW2uGEPunfkhmq69DeRI3OyyHZR76FKLrwyXqdS7zRKdnScL6eRP2M5ie8tIZwoB3f+7DIIH1IJ0zotbJ/IQkvgAFB1K+ciXJ1L1lmn6pEiXwTBIg5VjlfY7oXMWC8WjuNeGnqPsw8eRJurRZxxhAx6n+NM0S8Cl0qYDP2B7VwCmNOQ/bEqvAliAMXdnDnqDplVSWc+f6gAGByw7jrP0xZMbZeMvJ1qTMXZ+1IMSniXoXamAHjfIp9u7hnxGIYbHWfza9+5UIxurJxoRzfuFMBL13ve0w0Ek0/sNJ93RfaqaIMn3uZ1tL4QrS5HeKDI0yj6xFk+17p9HhVnX7hUNUYcnKbe4ksneKJR8uyPVOM8cOxlbo4o08YgmM/trCPFVKVG9iU56PJZVWejoIxvPX7SHdgAjAyysMu1d2f1tEtmOChcb7m8G5mUmOZGcrYMr+31idFtgYEyccPlhbs+7YE+gPFgvLAX/jJVesg+UjQ3jmbLhTWg8KOHmnnh21N/OdG6xFMyuDQs5nNv1ANEVJzdtf31RrG6P3ugDjeRc2EHJz0NB8DQUpcbf7nejHpGZlFTkyjKpg56hB3AQ0O6ckLXue6rMbquRXH8ejU9NbpfChVnX/rZ0uNGfTXmKApXX9rp4x5hB3CiD6/ddba44UbdEZozpCJM7uy7iUb5js8M8oVTRsukz9lZ3Sri0J1/pg2e9C88Ug+n/vw8CCic3eTTIM9uNsyYsrRHNc98+yJan0vDbm+dSJKdZi+9zUOZEjnMZFBMbaoaw6ujMos/X2+e6ZRudaYY54Hj2YU26KKipk6S1E9Sf2GXBz1kf6KKr70EQH4zZU66M4yqpHc+f6QCYDliHXKL2xZt3y7zZhnyy0uhfm2QvSwywnCrsGtmD+4iXuOqnUVHIhjSOgKmWbijs3R60RfZAVjSIC9zO3Zeen4f2RmO8DqXvFnRQ3DwxNu8iTdXUk+N4Qg5kaW/Wc2eaxQMYo8G+d3Gdi7MHrkghBWM48/nd097c38AT1TztW/bq8wYdVGPZQVNPbqaLcc0ZH+miV94UTlbMj1kJwwUnfHOPf6QgnrHFrlbl0vvus/ZwTDMyJpfXYwGXSRFA9kf9FCYZThLPfp0eX7ak0oBjMyD5WburzJ11DvYlpCRql1Mb4YDiqb5jj585axn3mrS4+yEQBlwd9fucHAPstu2v1xpPT8yS5iJNvp0MT+mDbQ7zj7sITshRDb06HzOTCjHpz0y5Td26Do3/aGdAJZpvJzenPYELlScfeElU0eYdJuOEEY3HnwyWz7WKQFwqls37ipb3HA9zg5COEt5ffvqYe9hALww8dJBvKbo7CCEG07cm39UB4/6F1YZrM9d70X/ADkCeSTEbzbMAQWgVfNRYF9Eq3PJ6v4sAR4p8o8X0xc6rVtNzHy6sR0KZwcgDh58Ops+o33Hp6r5yrPtZWYM+75yYhpntn1+syqPrD6yC6/9uAwjRPF9Wwukdz5/VB9T9YCfXbbONzcVYvslWPZtXKlUcfZZsOhYstyLUH+0J0TvDcinNr15+MlZNr30nUu1x9kBPDbPPlq98bKs47qtijIRk9dL9pTSzbTBE2/1ZRbafUEQwFNV/c+b5XOdxtmPrPRuGoRLg9aXpOHZF+v1E5VylshT1byw3SQq+65HANbg6Zs773hI4+yqeOkEheszPW8MAN1iw0ufm1BQ72hI7taxHSxGPeEIAHM4Xs5uhiaFXXKHij9znSg6oBHzQ/Ps49XVUxp4jQbj5XqZ+Lnccz0CODEGN7PpcEi58IlhvXKWi2Dd19kBqCN+NnWHNM5uDazVahl7vmxS1hCeGpNPluszg0K9h5a6WHteEJg9GQeAOrSSyzU5oNzxkalcbtzAm2pGb7wEhgPz9XL2gNY43JGR3dqZHXIjyoBhWo8/Xfrv0BDmxBje2cvC3bADCjEXjszz2Zszo0tQALwwyRebIt5kfc4OgB0de7NPVfNxv+qhcfrGub4Kw6c9kROAdCCkV2sqYVKMs2DzJvXmfWMCgPd0/W/X0/d0SuMwR4N8uvL8277ICUAcPPh8vXmHRpjeN4af2RvPLmjIDst8stq8uVkWp6Nup3uqiq/8uLiZMseH1DM3UCKdbjk7gINTbnbdQvaBRtZeSZi3M4Na5GDYO3921EZ2+5VvPNkHzXvmvYIMN3mYTi/c1UvNetqvfTp49Nez83c0lfZlIB+K+c2KPaFwBG3wJF69EQcPOq7bqrxv6J+4qxdUzn5iLTZfWoMnpHeKCADJevS5Gz+nTf+/YYzmi9QYsqA9qzV452ZVnowodc91MZsumLFFVfSsQy6586mc/chipvbrQ+OMoS2TYw5Hi/VsTAWLE/16tT42TEKL+EPj0Ut79YI2JIwHY2+RyQOO1qh4ZI0Wy+XQonTsp7p140yP9QOOoQwJ6pBbrP1hL/EIYDwee4ulMrSoj/rAmLxah+/QLhxZ6nJlDwydoZ6kc3CQT12G1qpnpmTb55p+wvZ0bQAjy7xylqc08OJOjGTq8GON9HIwAMzBo4/W+MaAUvXQGCWLG9Yck548DUA4Mi/sq7NeOhfAc4PEi0Qc8AxH+Vnu4MRdv6aqMWfGg89d75Gi8LSQkw/E/GbFPqARJutJuLoQ9AmhfccPDP0TZ/UebdhjDs2Nc6EpE46j9B15+Pil61PVmBea5awz1WAYlvKOA/Px5WyuyUTuXfpcl77w4ux+KSZbR0TimHo7+KMzfnqRNhF8bJCFU4J7K9egVhnUqT+bqC0ruv3SH7zYM5dvWOQfV/dw9pMn6dUX9uIT8+CDfu1j8+xnq0VfiqmKcihiaVORXZAGbAZp/Jh64bdM8ypwn9F0diILtra2TCCEEQAAHFhJREFUFEp/ACCPnnwUMt8yKSTREqQH6YAz6a9pDZ4uHPWkxywADAXum94mPabHn3XIYh1QdXZJgCC8HmqUEREAc3J46y2Px70JPsDI3FzPTmX6FHViPr4Mwuc0ZFckVS8O5DF1nMUjaxS4LhXZFY43mOKQJhYD0A+FxcY7OqSwcoEXVIYXabwbwANjcusX79DIvizxHJtZJuUTA9APRlhFVM4uc+wpmcomvVUnB6Mrb/WYNl4SgSslju/Ze6piDs4+99Vv9EQDAJogPc2ybNRNllRFODav4ruHNGSXOXwzjzGmr67kjx/73rk+fKdfJXEiI5w8UijoDEAeC2SxYU8pAcALushpzS32muV9Q78K3HdpagwRuI1lDzXKwwBQJu+9DMkLjQL6Est9UBwK1j3dynxyOUtPaQGpccyRxK++uGQfUOZeANIbVzjZA4tqsoJEmq72kUHWXlmCoCyr/fX+68vXBtkrNWbqz5tm22AaE5ZIoz3l+f6Y/N3iHmQ/fJiGm9ifaoPH/dqn1qOP3OA795yHIo04Joqo00YAqjgm94DXM1110oAqCAJwRt6QoQAiAHLwwbQUX9DIBYBvFUeBHlGrDP15mGh9121VfhR5V2OKIA7AGjJMEFE5OwBVPpf4x9Sq4nRi59HhkN4J70b5MaGPl0PjbJPhMW3YA3DIPylUuon14WBYJDE1gwpgxEOinc0CQJ2wfhId0kQMAKYoQaIfpXukH3kJe0YbaAHICpF7rtaq6KMRGxRkTK99yM8zmSIHAzg4GG6y4KnVXdhc/67I3HOCmDZ8fpsZ79I4O4DvFOW6Z3msCnekT7F50Fs2VZXvlcnaoAAiAO74LMhWxuh9ai0rnoy5lFqlHAqM71MJEwBVGBLaZBfAe7ruZAF1Kgxgc+CMCGV8AsCP3/2y0L41oH/H93Doq/RuNR69f71EX4qpyrdNOXt1zr5DyTQAiF5vxMctYDl9Kly/2u8QybFQRGIHwC9vg/avDbJXnP3Wmx41OPvqY9d6t9VLf2VMfrEq4+5+agAAQpKToSo/oKof7w6fncfMd+45w1ApgoSV77Ml8SWXEnrs5kUEItI1BWCjLQc+fWnDl/Ljx8k1W9IH8EehdaOuqVUZeV9gzgmhNgG+5W7+8Z5hRk2CgJPRszxWhedfZwk9cKdyOYoJe09AvpGDJzGdXSbcoQLvvg3utPzA42b0R82LkJC+5XFbS1K/oKNewERSKRKqjAVIWZn2zHBV4dgRC4+A/jkIEpT0IUGOuZjNSpqIAWCC6ZzQGbTLZXLGMvc8alGWfatoVRb8i3Fxw5X0gHwcBm9k+ue4VpxhrIgM/UXeTeKX95xZFvChmIoMrVsBcMjQhE2tkpgwZcTiHhTicya7L6qQouSEe7bQ2uhL06PMAwC8lk6P07kE+saBZ6F1I22oVePRe0v/7NEB/cLvaqIynTNn9EExeWN3kP3BM/Hi87j5LyODLN0SIPvTxP/rytcG2ZHnPtISpS7soXzxU3v83VaTKRyem+Qf1/TWiQeixtAZosxJPhmZJR0uy6tprFn+HX08R+B68Zxa85m7VDn5ZePUtOavTvFqdEPH2Y/84kW5DBdfUms1W/0puaFWXSyUgfTFYvU5tfZktfwzkc5Y82snVJX+/tFVCdKPbO+b1KrbzWwCubilo/Dr0n0wo/fAX2zWx1x0s/mCWks8bZ6+oVYtF/NMEs/XS2ptFK1vU3oATJfOgFe8OR31Si9cp/RP/HIVm2Lwen1FrQ0iL7wnNIpLJzbKYLmi1grBy5cxHdlfb2ZDVp0v6QGZBhFx6W/x07XwDne9XNADYGgvf05T5wF8Yr98nh4lV/Q7Htjxj0GfQdqrTzVmlN1dUGuvEqmMXlKryqtFqpn+Db3tysDxU/rD/GwzHQjqzzb0AWNZXlq39CD/mZ2+Xy7COT3kjLX61yz9LRiGD4pfsWT6i/wwtG8Ng4j0QTF+Y4uPW7Bz+g6/nuXNIypHOlk4JQjKjM7J/kvL1wbZyyKbJk6TsEeLJLFT42mXgPxwQv78lt6xHW6tOPRXfu0HEsPe2PT+kL28Iw8m7pugXxWt3jCctF5/Rr3ww/Xdt8yDP51TcH+9eS2ImviSbtL8i7n3a0rm3fxjv8rb5ALP/JH7mvqSL2+KRwfB7fQf+lXFfMUT/MeY3rHjNzb3wLh9Q8GLuXMh8sL5HV3GeX395WPzKH912a+aug7Hs/LnPpWX/+38+puG+WZOecdgkzGEfbOit+rt7e1wfPCLOwrO3rpznuF+btP7/MX1+nA4WF3G/apgY3McdzG9pV7497f2iyH32eJNv8p2PYLyZhpQP0fyaklODfuG8rOuc82R4u83dKHm4/nVO8bB+RXlwnTlE47JXi+pM/c/uy1/3bLn01/0q3JnxRf5T+wl1YHx8fLz981n4ZeUETpep3xR/EefztnXdz81rRfx64/6VRdBQAh7ufxFQXvU9JNrPJh4l5QukPqLMs+Wi5+XtGnrX69uv2VO/mpJGdpd7yYlkfaGHuQfrv3vGaxz8Xf9Kt8p+JL94+A19VFvlqUkxIH7U+rPfvfu+o8Ghzn1He98IrCddd0MSx4+F958vI/DsUmWdgm8jTp78SaaPWlY0W//anX4a1bfHvA7D5n/cEFtnXJpf6wv8sKjTLj+eDr7VUv9u1v6l8te3orfPHFoyG6//sngnf8GZeGtX3XvB/zJ7PK/P37yp7NF/8Kbuw9PTn8VhBRzp1/7JzPnXz08tl/9JeXC1+npI1Fmuc9cChP84qZ4/5Fxc/ch5S0++lz65ruEIZ84FJYUfb4yvzm6O6cg+5fTnz0//i7LYEbzHb28+PTd97+bfURB4Z/fXn5wfEokLr2jKOZ/N7/+4cmzL6c/61fNXoZHL1SWY++WFGi7vL587/HTn99QkP0Xs5ffOXouMOxrl0L3Xr6affDBZPY5BUpWF5fDsweCKCyWlI/106nzwweHv5hRKNvLV+cvnj4SBXY6o3zH9OVc/uDYvqa8xe31h6cPflXkmDcbSlz9zdUXv/n0/ZevKRQy+nIuPT1gNDG7odzxz+7Kf/lQvbmigFf0yYfKu7+iivKX9R5KzfLR/JNvPPxm+AWFhdhf+tYzVeXJR7TZ8PT8z49e/Jv4M0rf+fFy9cPxyJSMc4cy8GefXovfObNfUmJj8+VfDp78C0Ee2otPKD+7uPnXR2d/taDE/+XNTx6c/pBIYn5Jwf3/58757YfH9uufUN7iIjk6EyaS8rFDufDj8/zpYXB+TemPAORffPYPDx/9bEOJq+A/z5RvU5Il7/6K/MmH4W6EPR2Rq0WlxrxlyF4W+Rf+zfM6/56F+ezD9fG/oIjUv3VM/mFZbpLuv9uLT1leMZ7+IPzob/tX/fvb23/39L3Pll+soy7dyy8W4NjBrx+vP/HKvBvZ9usfm49/MHn8W7ev/7hT9dP1TGG5//HsyX+az/vj+avz//fs9Df47zxK/r47JHxkhxLLfPuD39i8+suy6M7Ozj+Nz94VfnTw4I+m552q60UJ4Hvv/eqbiz8tiq6ukn/8kvvg+b85Mv/vu+47JhcOYZnJdwe3r5N+aH18/Vcvjr7/nafMT7/sPsx0ecsy3OE/+3720ct+UP7kzRf//NEz+cUw/KTbW75wVkVZ/vaz3/rk+se7o8h2Zf4yPHwmv/f4g09ff9ypms1nAH793W/8/PYy693xw+uPvnv03n97+vQPL7sz7tnCZRjy4nujxauw7KmZt59+fvTi2aOHj16/ed2pemOHWVH8d8+/9eH1R2nebdXPX50/f/roxdPDl6+6bDe72pRFYX7nmX19uz02r1Guzn988vDXfnQ2+pPzbuO83swIIb/xjW9/eX6Z997R+9ml+u0HwnuT+BddRe4Lp4zz8kcf/LOrix/nebcPRJ9+KL7//V87ffY3193GeWNfxnnywbe+F35+1xcENp95g2fqvz0j/+d5t93c1cuyzMff+934y5+jF6v/x/Xt7x4f/8rk23993aUaxcxGkg1+eLp56RdZ92c3X/zZ4NlvHp795uz8zzpVn7orL0v/3aN3/tNsHvVa9fLqrx6c/ED47pP0p91u9ZkbxUX5z9/7Vffiw7LXOy4+Sx48E/7V5NG/v+1eCOBvPit+87uTq+sfZ3l3wldunOJuNv7m8z+eUgba4Ocz5duUlPXRI57lcPly+40eHTLnswKEoPdG/7TyT0d213V///d///d+7/f+4A/+wHXdr/j3+/7P/7KSZ1/6N89rK/rFH87G3zHFAWV6KHP4nYfM//R5tz9cfPK/PXj+u+qv/7b3F/9Xp8pO0z+fL3/35PQHJ9//k/O/6NQmP/lc+MEL0eLlsbB52VLMs3Bjv/5r6/mPjp/+9vXL/9C58H+/fvlvT955pChPVPUP71osKYrty5sfP3vyr/lfe57+bbeb/S/nq987HQjagTR4aL9p8Ys0Lu/Ok4fPxf/h7L3/+U0X9X7ySf6D91hNPbIGTy/a/KL0w+zjl9y33/udE/N/vezyWf+nd8p3D7UBa4zYq5et2A0T99Obv/nOo3/5/Rfsh71W/ftP/u6bz75NTJ2ZjLOPWlpW+P+1d+dRUV1pAsC/V0UVFEWxU+xlVQFFsWjAFZCW1qith3GZnpjuJCbdaU1PJu3JZGzHkzN9tD2nT49JTk46p8M4ifaMtNHJwChjdHIiIiYgLkBYFEHZlwJZZK/t1Vvnj6fWQqHdCMKpfL//6r53i1vFV997775376Xpm/cMK1Ua+aoo4zXX8+sznU3b1Xp/WWhEoKa53+lYS5Pc/XarUidL1qbWN7t2KzW3NuvidWF+itjA4O8MTlnYTFlr7jVlL1q6KTbhgsH1/Lr+dm9yQqS3XCwPkQw6n7azND3c2R2uS0jWJzc0ufYOnW8Z3KRVBsn8FwVG1fU7nUKSNlt7l0GnXZSUEFnf6PoZyRqDz7JYH38/eUjQUKvTLRPKZjJ0VWji169Vh5R2ul4lXO64na1KlPvKlCHBLe1djpt4irHc6ZcviZVlqK1XXQ9Cf27lXooTyWRBIaG6vh6nyOFtVltLvY9++ZpFSRfbbrpULOu5mhObJQnw9Y4OMjf0OX05JDfaZAxZ4r9dLSrqcg2A3tb/i9RsEPkFSCLU1sZKx00Wli0eGNweHblBk3Ox8xuXiraKu5JVCRI/sTzKZ7zZ6bSdo63jHVcD49ZEx2/quXPapWKBofnFWF2UTJYeFPhVv9PPiqLNHd2XErSbJUs1U0+YzvSO50YGePkG+YbrR5tLHTcxNG9otamTvX8aqz/Z7XqVMDjGD0/wz2n9w0JTug2uRxrq8jVJxtLtquDPu1yvIegBMz1o9kl0fzt36Vp5VYlJOBpGBj9YBWHquePMzDyzFxQUhIeHFxQUKJXKwsLCx5RPt+dfhePY9sm++GANAIw2GUcaJlWb3T9mBwB7F4v+cJuzOByVGdrc3VigWbzTJ2kFT9tI5xD8pK3jb6MjAyWSHUlb/6vpDMnYUxtvsVHXmqVZOgBQrgjsK3P6EQ7WFgQlrvOSBUZonrdZhkfu2S+BJ2nqWEfDG9rFAPCGRv1Jm1OcNTSdUseulUr9JEnR3ISZabFfrZsZ7njn8JtxYQAQsfK1e9f+5FixsdKi0nlLfYj1StUIZb3u0FlhtcHVJjYrWQwAKYk7auqPOlaky254pSUTfvJNEf4jNubKfftviSMZY7lBkR0LALp0WVOVU9a72lKUFJ0pkyr0MaIJC9/Sa/9tUzR1o+Ha6rQ1ACBdv5q64BT05xprV6q0ft4+ssRgzkKT7fbDiZmmijqbfqxOBoCM+K2XGk44VuyqMoYn+nr7ifXqZJKydvTaj3wURdXfql+SugQANiamfnnbqQfgQltFemSSn9R3lTJmgiZvDNl7AGiararrylyhAQBtln97hdPpVWdVTVicRirzUcWoKIoy9NkrWmj2fOvgVl04AGxKyP6fxmLHitV1jbo4tZ/cNyFOSVFsR7c9PHiSNn/b5rtaCwBKva6j2ukQ1dxUFK3K9PEJXBYRYKLZqnv2HkIbQxfdqXohOQMAslakVVQ5fcbxshbfpAixXCrVKTkbQ7XYLxTMDBxv4X+hEwFAUuqO+pr/dKxouv61j36Z2D9oebSWYpm6fvtRwcqQ51ov/Ei7DgAUGdrxb5sd++EHq8YCdXKJn9eaCMLMQEmffRvLkB038+PSXgcAvx9sNZWddfyLn7Z3rlWGhUilqWFJNpaqG7QfMnmKocqbvHOSASAiM6i31KkLaLD2vwO0WVKFMix2Nc+z9w1X7Z+CoY91NOxclAQAry2K/WNbu2MibLxbGBud5SsL9UqMApqlb9v7sqwsl9c6tCc+DAAilr88UOUUcs011ki11MdXlBUaRXNc6ZBTJ9iX15nn08UiETyX8lp13b87buKNJqrshnR9dk6YAgBKB53OXMe/bvdfq5o6xZ5ApfMOCBFXFhsBQCQCYQwKP+/n7BUVFdu2bZNKpdu2bbty5cpjyqfb869SKbNEyEMVoOgrG24t6NP/LFYin3bI1rJQYl0U8bMy1kQDALAMWXNxb1T8ZnnAIiCIoJ/841jhH6meB/3CV4ZHPmlt/02SHgASg+NXRKQdvv6xmbYAAE+zlvxvJUs14sggAAhfFURNMPfKH1w7Gw01/ZX50avfBACCECdl/Lr20j7SNAAAJMv8fU3JliitMGPMy6qYfiv5UUubEIX3Bmpqbh5bveqfAQDEItmOLEv+N8JaMFaW21XdtSUqMM7PGwBCU/+GMg72Vx4H4AFgsIdurLSm58gBQEQQ7y3+wS+qi4VVvhgWTlyi0+NEwrwCyYkvmK3Dtbf+Q6jItnbZisu8c9cBgJggfpsS9cvvuh8snsdwIydv+y5RCqOf45d4k2au4ZpF+G133r9VevvElqW/AgCRCF7I9jpRSgvLotIMXXjxVIo2VRh9KlmZxk0YqQtlwm29psF7Rbdqdi7LBAAgiOC/0w//uYEZIwGA4th/qb70fLRWGKO0Mn6LyTb2TeMp4bbeaDfZdmVC98NAACAI4keZuQUXTz1YPI9li0uLtRptaEgoAKyNT5q0WU/frBa+1bv3OwpvF/88fTsAeBGifUuyf1NdKiyxxDDsma/qEuPCQ4P9ACB6sdxmYlvLJ4QesrHevrbrlUnrcoS/uC5n3dcXv540TgIAxXK/v9qWHRssjD59XrvKSFnONJUITe3p6y+vrPlh5nIAIAA25OiLvqqfmLQK3+rE59XeqZFeMYEAoExMYEiy7doNIXKGBm7VVf9peeYeABCLiD3L1Yevtg2YbQBAscx7FV+uio5XBYQCQKo+3moly65/J0wVRXYOj11sDNmaBgBAgP9Pl07kV7KjFgCwsfBmBbsxmhDGKMUlbqZsplu1+cIdSKrrrvFSoWL9TwCAAOKNZev/9crZQfMEANAc84fqT5dFpsUHaQDAf6WGtzFjJQ9uhxp7rIZL91WbwgFATMDvlon2XGOFVRA4lqor3R8Wm60ITgAAnyVZHGkxXioQAqBqdOy9uy2HF6cIf/FXS3d9WPlvg+YhAACGteR/65UcK44JAYCw9ECW4nov3xdCztR3s+/q0ZjstwAAgEjO3F9T8muLsU+InD11peuUqvRAJQC8rIq1sux7dx9cKY6MNlbWfpKx/J+EkJP9eJXlRDk3bAQAG8e/VdOzVqlICZABQLB+I0db+yo+BZ4DgPt9dP0Vy4r1fsL/8aO0nH+oKe0WVhbk4VId297PbVzqBQAJ2s0sa6uuOyJ8q/ykyXrkc2lOhjDF4+8XR/3yu+4eYeFyHiYvd9vax/3XqacmqEfWbPcfNNBl/ztpGmdT1SKOh9l66nHmk4tt2bLl9OnT3t7eNpttx44d586dm658uj0FeXl5hw4d8nWeCi4zM/ODDz6gadr/4TIIFR+Vp4+5vzWPEEJPxzUNPnxNAPCOw4cI4ImHGwmeoMQM6TAOiyRkJCEngA+g+U5f+G0S0eN+8ICdlBNtHIlcNhnCApE5VK35uV4U4/7J7EeCgoIkkickQ/ejfv8SPM8LM2zwPM853OSZWj7dno/k5uYeOHDAscTX11ehUNA0HfBweqZ7qgmDn/tHrdGM8QDTDIV5qjed9bd8Gg9/hW42EbzDDu487oM8ZhsPPGHfgX/iW9nrEeB+Tin7G09tLQFA8ATBc9NU5AGAd/cMOw/AC9Xd1uOAAODdbiOABhGA+3FEYh4Ijpe4+1554DngWBGw7t5WDATBiVlCPDWCCOBEBOvFcV5unywkxKxIxPFukp2IBykrkvKMl7unJ8VAi3iOJ6xTo4AFwiIiRAQNvJtnZAmCIoCxeLn5IBwhNom8bV6cVUyvMQFMsxaQiw4/QszLzqslv3su94k7i/6CmdxnntlDQkKGhoZiYmKGh4dDHQasTy2fbs9HFApFfHy8S6HFYuE47tE4wz1v7ZpxU9F0rFarzWYLDHzCOQJ6GiRJWq3WoCnTvqNZZLPZzGaz2+k/v59m3s+ekZFRXFzM83xxcXFWVhYA3Lx502351BKEEEJzZ+aZ/dVXX+3o6HjppZe6urpeeeUVANi3b5/b8qklCCGE5s4sLs80Q3l5eXfv3s3Ly3Mpt1gsjv3saC5gb8wzgL0xzwD2xrhYuGNQS0tL8/Pz57sVHq68vPzYsWPz3QoPd+PGjSNHjsx3KzxcbW3txx9/PN+tWEAWbmbv7OwUOu7R3Onp6amtdTN3GJpFfX191dVuZnFBs2hgYKCysvLJ+31vLNzMjhBCaGYwsyOEkKfBzI4QQp4GMztCCHma+X/q8ezZswcOHJj6TNjw8DBJkjExMfPSqu+J0dFRk8mkUqmevCuaqfHx8fHxcbVaPd8N8WSTk5MjIyMajWa+G/IsHD16VK/XP36f+c/sAHD9+nWadr+oI0IIIUfp6ekKheLx+yyIzI4QQmgWYT87Qgh5GszsCCHkaTCzI4SQp5n5/Oxz7e23375z58FSs7m5ue+88878tsfDGI3G999/v7GxMTU1df/+/U+8IYNmAGN4TrEsu3v37uPHjwPG8xQLNLPzPG8wGL744gu5XA4Aj9bfQLNFWHb84MGDn332WWFh4a5duLDJLMMYnlNFRUWXL1/u7e0VXmI8u1igvTEjIyMMwxw8ePDFF188fPiw2Wye7xZ5mllZdhw9BsbwnNJqtTt37nz0EuPZxQLN7KOjo4mJiXv37j116pRcLsdJUGfdyMhIeHg4AISHh4+Ojs53czwQxvCcSktLy8jIePQS49nFAuqNef3114Vrq5KSEp1O9+GHHwrlu3fv3r1797w2zQM9cdlx9JQwhp8ljGcXCyizC3dCBK2trRRFpaSkAIBEIpFI3KxKjp7GE5cdR08JY/hZwnh2sUB7Y0iSPHToUHd3N03TJ0+eXL169Xy3yNPgsuNzDWP4WcJ4drFAZxfgef78+fOnT582m80rV67cs2eP8IABmi0mk+nw4cPt7e0JCQnvvvsufr2zDmP4GdiwYUNJSQlgPE+xQDM7QgihGVugvTEIIYRmDDM7Qgh5GszsCCHkaTCzI4SQp8HMjhBCngYzO0IIeRrM7Agh5GkwsyOEkKfBzI4QQp4GMztCCHkazOwIIeRpMLMjhJCnwcyOEEKeBjM7Qgh5GszsCCHkaTCzI4SQp8HMjhBCngYzO0IIeRrM7Agh5Gn+H8jAJAwZ2UU1AAAAAElFTkSuQmCC" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "basis = CubicSplineBasis(collect(range(a, stop=b, length=45)));\n", + "p = plot()\n", + "for func in basis.basis_functions\n", + " p = plot!(x_plot, func.(x_plot), title=\"B-spline basis functions\", legend=false, show = true)\n", + "end\n", + "display(p)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# $$\\Omega_{ij} = \\int_a^b \\frac{dT_i(z)}{dz} \\frac{dT_j(z)}{dz} dz$$\n", + "# mean values of second derivatives matrix, needed to introduce additional information about the function" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "┌ Info: Calculating omega matrix for Cubis spline basis derivatives of order 2...\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/cubic_spline.jl:103\n", + "┌ Info: Omega caclulated successfully.\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/cubic_spline.jl:117\n" + ] + } + ], + "source": [ + "Omega = omega(basis, 2);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Let's use an analysical solution because errors have a poisson distribution" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Analytically()" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "algo = Analytically()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Regularization parameter is defined as the most probable, for optimization let's use Optim.jl package" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "ArgmaxOptim(nothing, nothing, nothing, nothing, Optim.BFGS{LineSearches.InitialStatic{Float64},LineSearches.HagerZhang{Float64,Base.RefValue{Bool}},Nothing,Nothing,Optim.Flat}(LineSearches.InitialStatic{Float64}\n", + " alpha: Float64 1.0\n", + " scaled: Bool false\n", + ", LineSearches.HagerZhang{Float64,Base.RefValue{Bool}}\n", + " delta: Float64 0.1\n", + " sigma: Float64 0.9\n", + " alphamax: Float64 Inf\n", + " rho: Float64 5.0\n", + " epsilon: Float64 1.0e-6\n", + " gamma: Float64 0.66\n", + " linesearchmax: Int64 50\n", + " psi3: Float64 0.1\n", + " display: Int64 0\n", + " mayterminate: Base.RefValue{Bool}\n", + ", nothing, nothing, Optim.Flat()))" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "alphas = ArgmaxOptim()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# For the problem we do not need any bound restrictions" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "phi_bounds = nothing" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Solution:" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "┌ Info: Checking data\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:29\n", + "┌ Info: Starting discretize kernel...\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:20\n" + ] + }, + { + "data": { + "image/png": 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" + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "┌ Info: Kernel was discretized successfully.\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:32\n", + "┌ Info: Finding optimal alpha\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:35\n", + "┌ Info: Optimal alpha found\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:37\n", + "┌ Info: Starting solution\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:54\n", + "┌ Info: Solved analytically\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/analytically.jl:5\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "alpha = 1000.0\n" + ] + } + ], + "source": [ + "result = solve(\n", + " basis,\n", + " y_measured,\n", + " yerr_measured,\n", + " kernel,\n", + " x_measured,\n", + " algo,\n", + " alphas,\n", + " [Omega],\n", + " phi_bounds,\n", + " );\n", + "\n", + "x = collect(range(a, stop=b, length=300))\n", + "p = plot()\n", + "\n", + "phi_reconstructed = result.solution_function.(x)\n", + "phi_reconstructed_errors = result.error_function.(x)\n", + "p = plot!(x, phi_reconstructed, ribbon=phi_reconstructed_errors, fillalpha=0.3)\n", + "\n", + "display(p)\n", + "println(string(\"alpha = \", result.alphas[1]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# As the most probable value of the parameter, we got $\\alpha \\approx 10^{-3}$. Let's use another parameter values and plot needed and measured functions." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "┌ Info: Checking data\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:29\n", + "┌ Info: Starting discretize kernel...\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:20\n", + "┌ Info: Kernel was discretized successfully.\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:32\n", + "┌ Info: Finding optimal alpha\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:35\n", + "┌ Info: Optimal alpha found\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:37\n", + "┌ Info: Starting solution\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:54\n", + "┌ Info: Solved analytically\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/analytically.jl:5\n", + "┌ Info: Checking data\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:29\n", + "┌ Info: Starting discretize kernel...\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:20\n", + "┌ Info: Kernel was discretized successfully.\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:32\n", + "┌ Info: Finding optimal alpha\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:35\n", + "┌ Info: Optimal alpha found\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:37\n", + "┌ Info: Starting solution\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:54\n", + "┌ Info: Solved analytically\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/analytically.jl:5\n", + "┌ Info: Checking data\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:29\n", + "┌ Info: Starting discretize kernel...\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:20\n", + "┌ Info: Kernel was discretized successfully.\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:32\n", + "┌ Info: Finding optimal alpha\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:35\n", + "┌ Info: Optimal alpha found\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:37\n", + "┌ Info: Starting solution\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:54\n", + "┌ Info: Solved analytically\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/analytically.jl:5\n", + "┌ Info: Checking data\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:29\n", + "┌ Info: Starting discretize kernel...\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:20\n", + "┌ Info: Kernel was discretized successfully.\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:32\n", + "┌ Info: Finding optimal alpha\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:35\n", + "┌ Info: Optimal alpha found\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:37\n", + "┌ Info: Starting solution\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:54\n", + "┌ Info: Solved analytically\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/analytically.jl:5\n", + "┌ Info: Checking data\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:29\n", + "┌ Info: Starting discretize kernel...\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:20\n", + "┌ Info: Kernel was discretized successfully.\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:32\n", + "┌ Info: Finding optimal alpha\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:35\n", + "┌ Info: Optimal alpha found\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:37\n", + "┌ Info: Starting solution\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:54\n", + "┌ Info: Solved analytically\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/analytically.jl:5\n", + "┌ Info: Checking data\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:29\n", + "┌ Info: Starting discretize kernel...\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:20\n", + "┌ Info: Kernel was discretized successfully.\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:32\n", + "┌ Info: Finding optimal alpha\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:35\n", + "┌ Info: Optimal alpha found\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:37\n", + "┌ Info: Starting solution\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:54\n", + "┌ Info: Solved analytically\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/analytically.jl:5\n", + "┌ Info: Checking data\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:29\n", + "┌ Info: Starting discretize kernel...\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:20\n", + "┌ Info: Kernel was discretized successfully.\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:32\n", + "┌ Info: Finding optimal alpha\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:35\n", + "┌ Info: Optimal alpha found\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:37\n", + "┌ Info: Starting solution\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:54\n", + "┌ Info: Solved analytically\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/analytically.jl:5\n", + "┌ Info: Checking data\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:29\n", + "┌ Info: Starting discretize kernel...\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:20\n", + "┌ Info: Kernel was discretized successfully.\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:32\n", + "┌ Info: Finding optimal alpha\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:35\n", + "┌ Info: Optimal alpha found\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:37\n", + "┌ Info: Starting solution\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:54\n", + "┌ Info: Solved analytically\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/analytically.jl:5\n", + "┌ Info: Checking data\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:29\n", + "┌ Info: Starting discretize kernel...\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:20\n", + "┌ Info: Kernel was discretized successfully.\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:32\n", + "┌ Info: Finding optimal alpha\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:35\n", + "┌ Info: Optimal alpha found\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:37\n", + "┌ Info: Starting solution\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:54\n", + "┌ Info: Solved analytically\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/analytically.jl:5\n", + "┌ Info: Checking data\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:29\n", + "┌ Info: Starting discretize kernel...\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:20\n", + "┌ Info: Kernel was discretized successfully.\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/bases/utils.jl:32\n", + "┌ Info: Finding optimal alpha\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:35\n", + "┌ Info: Optimal alpha found\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:37\n", + "┌ Info: Starting solution\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/solve.jl:54\n", + "┌ Info: Solved analytically\n", + "└ @ Main.TurchinReg /Users/ta_nyan/Documents/diploma/StatReg.jl/src/solvers/analytically.jl:5\n" + ] + } + ], + "source": [ + "results = []\n", + "for alpha in [1e-6, 1e-5, 1e-4, 0.001, 0.01, 0.1, 1, 10, 100, 1000]\n", + " alphas = User([alpha])\n", + " result = solve(\n", + " basis,\n", + " y_measured,\n", + " yerr_measured,\n", + " kernel,\n", + " x_measured,\n", + " algo,\n", + " alphas,\n", + " [Omega],\n", + " phi_bounds,\n", + " );\n", + " append!(results, [result])\n", + "end\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = collect(range(a, stop=b, length=300))\n", + "p = plot()\n", + "for result in results\n", + " phi_reconstructed = result.solution_function.(x)\n", + " phi_reconstructed_errors = result.error_function.(x)\n", + " p = plot!(x, phi_reconstructed, ribbon=phi_reconstructed_errors, fillalpha=0.3)\n", + "end\n", + "display(p)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "loss(alpha = 1.0e-6) = 22751.4576548218\n", + "loss(alpha = 1.0e-5) = 23819.46555388683\n", + "loss(alpha = 0.0001) = 41134.44274958096\n", + "loss(alpha = 0.001) = 205032.30406914558\n", + "loss(alpha = 0.01) = 1.0715014358037692e6\n", + "loss(alpha = 0.1) = 4.2733492615008e6\n", + "loss(alpha = 1.0) = 1.2819882777691085e7\n", + "loss(alpha = 10.0) = 2.318131076596474e7\n", + "loss(alpha = 100.0) = 3.772969753723378e7\n", + "loss(alpha = " + ] + }, + { + "data": { + "image/png": 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" + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1000.0) = 4.448330147333969e7\n" + ] + } + ], + "source": [ + "p = plot()\n", + "for result in results\n", + " function1 = result.solution_function\n", + " convolution = y -> quadgk(x -> kernel(x,y) * function1(x), a, b, rtol=10^-5, maxevals=10^7)[1]\n", + " untegrated_function = convolution.(x_measured)\n", + " pre_loss = [z^2 for z in (untegrated_function - y_measured)]\n", + " loss = sum(pre_loss)\n", + " println(\"loss(alpha = \", result.alphas[1], \") = \", loss)\n", + " p = plot!(x_measured, untegrated_function)\n", + "end\n", + "p = plot!(x_measured, y_measured, ribbon=yerr_measured, fillalpha=0.3)\n", + "display(p)" + ] + } + ], + "metadata": { + "@webio": { + "lastCommId": null, + "lastKernelId": null + }, + "hide_input": false, + "kernelspec": { + "display_name": "Julia 1.1.0", + "language": "julia", + "name": "julia-1.1" + }, + "language_info": { + "file_extension": ".jl", + "mimetype": "application/julia", + "name": "julia", + "version": "1.1.0" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}