{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Simulating leveraged etfs\n", "A while ago I have written a [post](http://matlab-trading.blogspot.nl/2011/05/guess-what-leveraged-etfs-dont-decay.html) about leveraged etfs. While many people think that leveraged etfs decay over time, this is actually not the case. What we see is in fact a non-symmetric distribution, with a high probability of decay, but with the same expected per timestep as the non-leveraged distribution.\n", "\n", "To prove this, we can use Monte-Carlo simulation (which is a fancy name for a brute-force approach) to test this hypothesis. \n", "\n", "Before we start, there is one thing that needs a little bit of explanation: *libraries*\n", "\n", "### Import modules\n", "Python has only a limited set of built-in functions. Everyhing else needs to be loaded from optional modules (Don't get confused, *modules* and *libraries* are the same thing). We will use %pylab magic to load most of the scientific libraries, including plotting functions. \n", "\n", "We will be looking at [modules](http://docs.python.org/2/tutorial/modules.html) later on, for now it is enough just to start the notebook and run the %pylab inline command. inline causes the figures to appear inside the notebok instead of a popup window.\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%run common.py" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create a synthetic price\n", "\n", "Suppose we have an etf with normally distributed daily returns. Average daily return is 0 and standard deviation is 1%. In other words chances of going up 1% are equal to chances of going down 1%" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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fLEesQ35ms2YIXRcWFRVh96gLoRREfu8W2dnIjVrfIc2aNUP0ObNQFEgAubmt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\nmmVCWHzUyi5CCIirb4FyR+NBdXSXcdSxEIVt7Is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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "returns = randn(10000) # create a 1000-day returns vector. \n", "#Note: don't use 'return' as a variable name, this keyword is reserved.\n", "plot(returns) #plot the time series\n", "grid(True) #use grid in the plot\n", "\n", "#-------add labels to the chart\n", "title('Daily returns') \n", "xlabel('day')\n", "ylabel('return [%]')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see how this distribution looks on a histogram and check if mean (average) and std (standard deviation) are what we expect\n", "Note: for printing *std* I am using here string formatting in the form of %.2f, which means that a floating number is printed with two decimals precision." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean: 0.012487743073\n", "Standard deviation:0.99\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "h = hist(returns,100) # make a histogram of returns, using 100 bins. \n", "#h is used as a return variable to avoid text output\n", "\n", "print('Mean:' , returns.mean()) # print mean \n", "print('Standard deviation:%.2f' % returns.std()) # print sigma, note the 2 decimal precision notation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Suppose we would start on day 0 with an investment of $100. On day n our investment would then have a value of 100*r[t]*r[t+1]*...r[n], which is achieved by the cumulative product function. Don't forget to divide % returns by 100 and add 1 to the daily returns as we are multiplying by 1.05 in case of 5% return" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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MFBcXo0ePHrBYLACATp06obi42NtlCIIgCCLEqCj7ojPSb/uavTDqXmm3Wab2VXL/A7Ho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\n0lgXZGrWGOxtsdZ9TnEw2Nd7OiOyRZlqOcqZCPPhk9OR/U1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+8SIAoM3oPyAsOhqXa/cF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\nRER+jsGeiIjIz/1/HPNeSZXIA1IAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "price = 100*(returns/100+1).cumprod() # normalized price\n", "plot(price) # plot cumulative sum of returns\n", "title('normalized price') # set plot title\n", "xlabel('day number') # add x label to the chart\n", "ylabel('price [$]') # add y label\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You will notice that each time you run the code in the previous cells, the result is different. This is of course because we used the random number generator.\n", "Now we can do the same calculation, but for many simulated prices at once. We could use a loop for this and repeat the above calculation many times, but there is a more elegant way. (note: the returns variable from previous calculations is overwritten with a matrix)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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CT9MIhs/22laUyld171JbWJprjsPjCJHM2vHms937SM6+DYCst3hsXSPHRI7B\n2Xcxhl45MT029T3GJ+ZWA9CXKIj1+7kLGaqfRktygEvbnuRUVyP+eD+KkUTVY7hcBjnDnu72kSeL\nRtYVwllIolk6T0xZyGvZSewOTgGgOlbMpV+cxkfL0h2fidOXRfPasxq1+24i2PNr3JoY+nz+jU+R\nnnoRsZa/5/+uaSQWF23fPiR+18VNPlqqXDy1J8bVD+/FLDYqWZZZEOCuu+5i586d+P1+5s2bB0Ag\nEOCJJ54gmRf9/Vh4Ftc+WSn0AIFiNsNRvOwpjPkCKKQM4afwSvdHSVn2ECtumniDdcIB8ghxWMS+\npqamZJl7vV5aWlqIRCKsX7+e008/HYDTTz+d9evF+tTrr7/OaaedhqIozJ07l1Qqxejo6FteXyKR\nSCbCsiyefiTOw7/vYqBXTKuaJhPmkZ9o2zvlK4918JNX+jHMt79mNBpl9erV3HnnnWzevBmA0EIh\nhJODx3HB3J9gWRYLX7WntzW3EMOmPgeN/oX4nfUkcmFMTxexuidRQmmSNSJUryom/qo3/AeLTv3f\nOCOn0bY1y4437EFPMm9fe3lLgC8ub2bVrBCb+lIUDBPdtIjoGvXZKBmPmNZ2hftxZHtRsHD6ApiK\nE2t6M01fnY83n0FXHaRdIdw5MegpaA6+t/gabjj+n7GAyXXdVGd2lCx7zZNhQ//JbK7voP6ULaX2\nFAw3HmOYgNskrWsYqLzcleD6NSPkLB+xmLj+S11xnKrCN89oxe9UOSa5FU9kH63ZLs4eeYqh/j5q\namqoqamp6P9UKsVZZ52Fqqq0tbWxb98+EoaY+enOjnfq8ztVWjXhC6EokDLLK99Z/GFgHpalkMVe\nUnkgUY3TXEI8OvESxeHgsK/ZDw0N0d7ezuzZs4nFYqWOr6mpIV4coUUiEerr7XWSuro6IpG3LpAg\nkUgkEzH2ck2nDKKRouOXBdmMhWFYmGVinM9b9HTmGRnS39U9zbJBw0haJ5U/8Av+gQceoLOzs1R0\nxaHZ51e7p+Bz1jI4GMH1ZhWFhFjfVp0GlqGwZccyfv6zXzA47GPbUJCeSb/jgcElPGaI4056NMUZ\nL9UKVaqqRlEVNA1MA/a05UgmRNsyBVuYtKIqLG32k9FNeuN5RtIFTKAhFyXjFe9mT3wI7eU/UhjO\nUpcdBMukbeqnaYstJx8Xg5Ena6fjzQrHwQFnS+kePb5Gov4AWveTJcs+U/cQmWO/XjzC7oNccTCw\nYlqapC7NvKdCAAAgAElEQVSE9ck9UTqiObyBKiKRCLpp8Vx7nNNnVOFxqNR5NCbn+piXamNqpkNc\nJ5OmtbWVK664Ytxv4HQ6mTzZzhyYtsbXrL9ikhiAnNzipcUljM9GV5qZPtsQHcr52Z5qoGC4yWBS\nVVYlL5MPsWPLxH4Hh4PDGmefzWa5+eabufLKKw9Y+WeiEfZE0x/PPPMMzzzzDAA33XRTxQDhUOBw\nOA75NT9syD5898g+PDh03eTpP/ezbHktzS1C7LKpFGBP37ZM9dHbleaZP8VZuKyauQuqgOJ0uxlg\n0zoxdf6FL8/mQOgFk61vRFm0rAZNq3w3DSdtD+//98oAO4dSPPvlU3A5JratyteNPR4P84/vZaw4\nbF31ZG5+ZYi1+yJwwlf59+Ru2oL3izZkbB+Dx/Z9hKRpW6wb0lWcBjR26fimuTGrqmloEmv0LneC\nTLo4ADH91NcHMBV7vf4rZ86jvsbLIssLL/URs9z4POJedT4nxnzhqOfLhlFHE4QfGMDFXpoXueho\nOomObmgdug1aoVNRmRZ+ibjTw+Mtp9t95KmhY9DEUpIo+9uchhfVsrclcyGqPcLY25qo/H/QMHkq\n7TveIFxwkDcsVs5tpr6+nn86Kc9vipMDVpnHwoknncKG8Pjc+fX19TQ3N9PT04OJgq44aPXl6EkL\nC7/RC1+auonnRqeRM73UOu3f7JymTtbuEzPX4YKX3ekaFiheMpZJlWrxcc3PfYUUfzYirOgNcmbK\nPCL/nw+b2Ou6zs0338zKlStZsUKESYRCIUZHR6mpqWF0dJSqKhHHWVdXRzhsh5GMjIyMm3oBWLVq\nFatWrSp9Lz/nUFBfX3/Ir/lhQ/bhu0f24cERGzUY6M3weG8vF3xerDmHw5WpSeubLHpFllO62uM4\nnPb+px4RQq9pb/8uaXszw+7tOUwzU+HsB7ArbAvBziHhWf9iWzeLm/10RXME3Bq1XvvV6/V6S4Kf\ny+UYcLeX9vWEk0Loiyw47hR29v8RC4NMj8iYFwwGK4QeIGvm8SRNXDnQE3EIhkrPlCsrwdrfGyUQ\nyhIp5n3XFPAZKcLhFF7DRAEe3tzDxn7xHK3XfZvsuidR+w3cuSiaz7aGG8JvMNAkCt/MHhqkdrKB\nrqr8umkpn0p0VbQv5gyQc+ZwmibLttxCqqeWXfPmYpinYgTfRG98CtM1iJpvYutgK60h0Se/7VlY\ncR3LV4Wu66xbvwEsN/VannA4zJ42O6Y/qBZKtXFueamLdYMGn1tyBiNvPAeAqqqEw+GSkblsxUd4\ndg9csHAqv3p9AMsymeUSw696Z4aB0QjnL9gLwN50NUtDQ6V7JXQ3S7VuopnZRBjh0w1tNMaOY77u\npc3K8IQ5yrUFnXC40kfi3VA+I3EgDss0vmVZ3HbbbbS0tHD++eeXtp9wwgk8//zzADz//PMsX768\ntH3t2rVYlsWuXbvw+XwTir1EIpGMkUmPt9gKefECP/+zrZx8ph+P137lxaMmm19Lo2ngctvWn2HY\n570VuYzYP9Ey/1ByfG337z7bzUPbR/jnR9v58p/2EYvFGBgYIJPJkMlkSgbQjBV5rLLiNx2jleVQ\nI//1A7RispqZ1YuILPgkxyxeWtGQkGeYdMFD3q0w1KqBw1lRk94sW1UID9lhakuafdx+0azSPrdD\npTHgLAk9QJUjSyrrwefMoGChaHZ/Ns6y39Ht0z6GT1GJY7I+OJPVrWdUPEfUFeCUkS5mHbuQSUOv\nM7utnZrupWiZ6SiGiEPPzv0+Qfcwu8MtrNkd4PebqukzGyuuYzjFsV0b11JXCBNwi2nzffv22cfo\n9rLMqwPit9leqGbZsmX4fD4uvfRSAJYtW8axxx5L83TRB0G3xv98uhXTUpjrFwOuBYEwGPZgbkui\nkTpXlpvmrAFg23YVLXUmnaaJjsJxVf0M552cUFYsKFQ9fongcHBYxH7nzp2sXbuWrVu3cv3113P9\n9dezceNGLrroIrZs2cK1117Lli1buOiiiwDR6Y2NjVx77bX893//N1ddddXhaKZEIvkAk07aKmYY\nQvzGRLuuwU19oxOnc/xyYDCkseI0PwuWemidLoR059YDr62OXX8i5+pdIxmcqsKcOnuaXTfhzk3D\nop0Fkx/d+zh3/OHP3L/6MUD4LK246HO8GBM52M/XL+KUxi/zXHul1faMewbNgUUAPLyvgU2DWXoK\nflAUvI4Es+s2Mim4l5zhxXQqDH/xEsimUaqqx7Vz+mwXI0M6uYJBVjdZ3OSnzuesOKa1qlKYqnvu\nIpkL4feI6AUjraP6HTBtNp5Lr2CBQ1jUA00rCKj2Uu2rDUsBqFWKBWxa51J97beYecwx9rVNMfPg\n0ewBTtw1gDvQSl+Ln+5ZgzQFNdSyPs847AQ1ASMBlsU9m4cYGBpmxozKvAAAVjGqoW04zYpTTuWq\nq66irq4OAJ/Px9lnn81je8WyT63HwUjehYlKrTNDSp3EosAQAU08Q1uyFqciBpgnhoTlHx2yuM+M\n8Iwpsuf9ovs40jjwKCqneNOlc48Eh2Uaf/78+dx///0T7rvxxhvHbVMURQq8RCI5aPSCxbay8Llo\nxKCuwUE+Z+JwglpUCFcxl3zLVCe9XcLKqwppVNc6qK51EBs16OkoMDKsk8uauD0T20PFAnDohUrT\n3rIsNvalmN/gZVath90jWUIejVi20knvzaAQP0U3WakMEQqF+M7aMKn8ydQTYkb9TNb2T6I3bjt/\nqabB/dM/yn94JmG8GaSrOIV+914hOCc0bmBK40vsHD4bw3TRE5tLwPU686NDEFjKmGyffIaf8JCO\nx6tiWdAfFf1Q7bWdycZY2OgrpYcFCCqjJPIhJjWJc4xYATOlw8IWrC9fzFRFZfvZdwLgncCW/O7H\n5vC9tb3EZxyPMmsyVr9dIGZex2qmXPYJdu9cRDIzBcvbzVDNcwSrfkkO8Ggwo7aPvaNNUFyHj2Qt\nTj75ZF555RVmp/fwu40LeaojzbHU8JFp04jFYkQiEcLeSeheMZCaGnLRFctz41+6uemcaePaGE7r\nNAWczG/w8kq3qEVf68yS9s5ntm89QYcQbJdqsD7ezJm1nfi0Ahomj7WeXnGtzmw1x6ritw85ciQz\nvoOK0HgvkBn0JBLJB569O22hV1Xo2C3WoPM5u5AKgD+gsXJVgGUrfMyaL9baPWX55UPFcLV41GTL\n67Z1PzKk86f7oqWlAr0Yp17YT+z7EgV64nlOmRpkfn3lFDyAx8jQkLPjti1FJeysJxgMEvKItd8X\nhhawL6fRFrGf6RPDG0puZjc81c+PIyeNu/YM5ym0Bk+gyi2s3bXtF5NJ9aMVTMKauHZWN9mdz+Jp\nVQibBbaZKTrDoq9aguOnly88ppa/O66RYHF63FKryep+3DVN4POTWlf0bXhVLMeqZTlufUrl4GGe\n1c/UWi8hj6M0+FEmTUH9r9+hnHcxaixCVUjB7azBs+86VNNNsEpk5FOLQ5XG4K85Y+Z9pWsOJAul\n5V+Azl5hYeuKE5cXTvroTKZMmYLTP4nvPf8TZse7yRdnZXYMZyZ0Bo+kC8yp86AoCr3FqIKRqjPR\nG86kVkuVrHNdqabKkee6natQFDDeQk6dhji+2iWiLVLZI+ORL8VeIpF8oMllTcqWZWmc7CQ2OhZy\nZ+L1V77mquscxRA0IZ8+/3iLFiARt63xrn1CEIeLa765rBC1/df2B5PixT692s0JLUJ0z5lVzd8d\n18hHarKcGn2B+anttFgRFiTeRLUMerxTealvN5ZlW9C3Dmp0jOYAixOcaVpHOzFUu52movCFPX+q\nuHeD00FP4nWGU3YBlk/dKhzBYi5hod73Zpib1vbylcc6+N76Hl4xE7SPFsW+arzYa6rChcfU8ttP\nz+YPl8xjOCImgwMhDSZYGgCYu/cPAPjK5CWox/nsIhENUO3RiGXtH0zxByFUI5LhJ+I4XSqK5cBM\niYgIIz2Z9btuoD0ili8mVwnnOKeqsKk/xYPbR3i5+iMkvE2kEiKyQlcc7NbvZkP4F1xw4XnMz4ol\nlD5fPQNlPhX7RnPkdHuA0h3L0ZcooCkKt7zSz45hIcz1NS1oDicFU+Xbs14Sz9EwgymeOJGCWK5p\n8VQm7ZnpTXPW4OsYxUFPyCHEPp44Ms62UuwlEskHlmTC4KnVcfbtFIK18DgvoWqNVNKkr0tkzCt3\nvitn1nw3C4/z0jqtcp160fHFWPayt6PTLb7ki8VNcsXUqPmi2OumRX8iz/97UXj013odODWVP146\nj8uXNnDhMbWc4B3F6XSycM4Mblw1k7nuJD4jRdwR4ok9WymYbma6hQi+nFTpSJuAwpm5HlpT47O4\nzY138neZHMvVAH+jNeBCCPusOpGYJ2Da4hN1CRHMGeMt2c5oDoeqUOV561VdTVVwqtA+3IqmGjQ0\nVzr9lZi3iNntjxCIt+Mtro9rmJwYW8fkOhFtFfI4iO63rKGEivXiYxEcRb+KQn4S0Uw9f9j9v9iZ\nNnm991zMUkiexSfmCYfA324apqamF0dLAb0orFnNw2Amy87hEygYadwujYTDR9ohftt/+YhYArnu\n8Q6++YwdKfDgdpGFMJrR+cu+WGkJY0aNEHRHmcOAIzCVVk+C3lyQ3/cfwz8sDJRmX86ZEeK75y2m\nPjNKT3Fdv94TR8MkrR+ZyvJS7CUSyQeWoX7bQgyGVGbMcZcs+Q2vCEvK/RZi73AozJjjRlEr90+f\n7WbKDBeZTIb7fv8g9921TVR0A7JZC9OwSqKfSZtkdZPP3LuTax7ZR6qYnKamGFpXLg7pdJpAIMDH\nPvYxmpubueSSS1iQ3Cba6MhQMNy0usa3tXaknbmJ7nHbZ3otPK4QS9QAXkUjnRXr+35XnBk1W/CU\nrQ0n3CkMs4A2QVe8MZrChUJ05MDJhCwjR8foPCY3JHA4FJTqusoDQjUo19wAgIlFLU5OnRzk00ER\nw+9wiD4JuYVlX558iFDRkz82yptDaXrNHIZVT3tkMYYlBLxguEnmxQAj5AnzsTnVNPgcqIrOGTPv\nx1HdzoC7mLinLsva9s+xofdcfrMhwq+VufztR75Tul15N+8eyVIwLHaFM6zZJwZM9X57AKgqlLz8\nx/K99GYDmJ4WErkqmnBxR9fJNNZN57NaPQsUH5cvaaDK42DKGWfwhpXmmNRdfLxpK09NuZe5LQcX\nKneokWIvkXxI6ejoYMeOHUe6GW+LZVr0deUrst0BFPIm2zbZ6581dUJMvF77TT77GDfzFv31BW6c\nToV4so/BoR6GYy8yVJy+TycN0mUhfpmUSdvw+DVY934JdAzDYGhoiGDQDsHyer0ELTEgcWlZ8oaH\nlKFw+/RK0a3JRHA7nZwXsIu8zIl34lh0HHm3mEo3lB7CMTuXvtuRI+wI8ukz/i9dviZSLhev9w1W\nTGGX2gakTZMdW4SPgGVZ43wREtEcbz6/i6zuY0qLaIflqyzVqpx/CbGCwZ+nLaU3vwuHovDVUyYx\nJSR8I8bS2k4JuTEs2BUuq0fgDwDQ3hfhzu4hHjdH6dMXYpjLcZUlxVGsYwH4xPxf4lDDHN8SoMYr\nZj229J9WOi6Hh3Re9PVTe8c/sz9VmX79Z+v6uf7JTvt5y7Ieesp+S6vo/d/iSWJqfsLGLM531PE5\nRwN+p4OQ4uAUrYoqnxgctB4zBwsYHhxBVUDf3TuuLYcLKfYSyYeQrVu38sgjj/D000+/7+tO9PcW\n2PBKmheeSlRsj4Qrp4Lrm4TYe3z2a+2Yxd4KB72DxelSyOTE2qqqOskW4+pTSZNETNy3odlBJmOx\nL1JZROfyJeOzo7300kskEgm83kqnvS9d8w88cG4TSwNpCoaH3TmFpX5baJ2mTo2SQ3F7+dQxdpW6\nvMtH7ty/AWDRrjuprxsgFh+kJzaXZ/degs9pDxheW3IWT0Yu5ofPJ3mtx57a/4fl9vUAtOLscvvu\nPE88GKvIW7D26TSd4an4nXGamkT7htP2c7c1zUA94+PcfffddFbVEzWGuODz1bjcKk6nsJLHSvee\n2CqEfctgCt20yOom+3IO0pqbe3fYxYPWDWTYNeKgQXHyeU2UsG30XWz3aff3+eyxtVR7ouwcPgHT\n0tCUAi3e3WQKAQrmWw/ywi+u5doVdsz+mNc9wPfPnkJPzA6RW9pshxC6NYOsdy7J2lWgaHjKZgj0\nsqi6sRmAxoB49pumXsonXvwUyVfDmGnbN+NwIsVeIvkQsmbNmtLnnTt3HsGWvD1johOPmaRTtgDt\nX1SkqlpYU16fitOlsGzFW6fkfjucTgXdEC9lw7TT36aTJqMj4r6Nk5xgQSRZaYlfvHC82I/1sdtd\nmW3P4XAQ0hTqnVl000Wjz0HB4+E6sw3FMjm7/zWcvR2obi+1mv3sg/5GElnx+vYkhzn597fw0d1b\nWNt+Mf2JWVTn7TY94F1Gf2J8+t/z5tZw9bG24A0P6uzblSvNlvT32BaxaQrxCnkiKE7Rr21Tj6Hf\nJ6bVC5rG2rVrS8fPnj277NxiOdi8UEO/S6PaozGYLHDXpiE+f99Ornspxo+OvYIhT+24doatAv1m\nDicKPdE8I8l/ACBnJPA6R1naXMOG3nOJ5+qZVbcZV9Ygla9MwnZKah9X7Xqo9H1gcISznKN87RRR\nOtjrtKXQqan0JfKlaIry31M1MxjuZtK1ZwNg6LbaZ4tOmwuW2oMMf9l1I84qBt21GH2V2QQPF1Ls\nJZIPGWMv3zHKs429H0nG7faOWdUgrGy3Ryk52PkDRYcwTeFjnwrROv2dZSrLZDKYagLDLE5XWwVM\nS4inacLethyNkxxUhcT9RtM6dV4HVx3fyNdPnXg91ul0oigKJ5988rh9qq4TM4RoWE4Hw/PnsFBL\nYSkqsxPdIimOx0stOkt8Jiv8JlnD4u7XhId5RFXIqw6Cw/brfN/g9NLnsRo3M2qynDG9ils+MYPb\nPilyuZ82t6p0nGlQsSwyNsgqD09TFRNTE1PZeVVjR414Xl8yVqrYd9xxx3HeeeeVzhkT+WzWnglo\nCjh5Zm+Mx3ZFOaFKhMu9UTuXvOYkiMZ5qi3WOSy6yFGFRsdwjn888VSqPSI+Pl2I0B612ze1egeu\nMk//WXWbxLOlkixKdfPTT8zAreXZPq0Jq7+7lLZ4zGHwn09qZsew+N2HUmKwM626OEAzCyiWjlWW\n9KexYUrpc1txGaS5xV7v37+my94zL8Ex7cB1F94rpNhLJB8iTNOkvV3kGZ8/fz5Lly4lGo0e0vKu\nh5pM2sQfFK+q115IlTLlZTMmHq/KkuU+zrmwqpQ4591gmia33347jz72P+hlaVETmd0ULNtJLp3r\n5IWXRBGuaMagyqNxwfxaTpteNe6akUiEeDzOaaedNs6yB1B1g4hefBUXf4YORRzXjBAQ1eUmkEjy\nqxkG/95qsED1Mj/jJ2EZPFczm0tO+yGPtp4KgM8Zo0ObwqX7Hq+4z5LqNF87dTLTqt1MKsbUV/ne\n2jM8X7RUO/fa89NzJvdiOMWUeiKRYE+oiUFvFVvqhOideOKJfOQjHwGgu7ubl156iVwuh6qqpap+\nYHu3F0yLzozt1d/na8SNwmTV7qeLj60lY5mEFAc9iRw9HXlOaroagDXtP6Rj1JaxJXVT+ejyE0vf\nj218lXpfhpVDm2mfB7r5GiFvH72BBujvocpdGXa5alY1m4vpgSMZMWjQiv+u1OLgz1Rtsa+taS59\nTiVFf7ndlbJ6zfImrjq+EaeqsHf6cSjOyuiPw4UUe4nkQ8TevXt59NFHAVi8eDFVVaKQSHnltXeD\nI9tNXcdNKEby7Q8+SDJpk2DIfikPD4qXcDZj4vEpqJrylpnu/lqeffbZ0mfTyuDUqrCASGI9PUNi\n32hyCxvaXuSpUSe6kieXNAm6Jo7VB9HnALNmzZpwv2IYRIvhWIYFw6kCD+bE9HpdjXAy0zy2M1za\n9HGKKgTyJTPGky0iwc7jLafg0zNcHb4HgHtnfrziPvXZ8Ul+AK46vpH/c1JLxbZQrUa2aO2O5SwA\nmH7WlaUcwdFoFEcgyJ8XnkZfQEy/T5okpsXj8ThPPfUUGzZsYPfu3WiaVvFv7G+XNbB0knim4UKl\no5+7GLLnLIrsia3BUrnYFCbffq0T1/XXArA7fDyRjLjnJfMUTpt9DUtnTipda1LQzWcXrqHJHGDo\nlATr+39J0D1KIl9DOJZkQ5/973RBgxfLstg8YA9K6soGQ0px8Gdp9vLQWL6F2gbx+0+b5SqFDo7x\n8bk1XDC/lgWNIxTMO4imj4yTnhR7ieRDRDxuV9uqqakhFBKiMeYp/W7xxl5B02N4km8ekutt3ZQh\nGTfxehVOXClEYWwSIpux8HoP7Sts27Ztpc+WZaI4allTdw5dnqkA1LRsJ5x+kxdqT6fP00raKnC6\nVc3s9Hgh7ezsxDAMenp6aGhoIBAITHhPpVAgrgtLWzct/mdLmK1OIfbVk4QTnbNarBvHJk/i0XYR\n8rbDTNNj2VZ32uFlQbSdY7dH2Z+/1RqxojVkC+OrrV0wv5YTplW2LWHsYSjWSSTTjtstOnz5/H0l\noS8UCqRSKZYuXcrVV19dOs/r9TIyMsKdd95ZcsgDsYyRSAgnuNGMjs+p8Y2PTLzk4SrK0o1LW7n9\nwllMq3aTxsRZvPeobtIWEFPhY0IPcM3klwFoKAubq3JPIl3oh5CYIdGNEEF3hJzu52rnGdy1WThh\nzq51860zWgmnK/0vrj7BdmJUiwPYHRGVn60TSw9jjpvTZxdnYlomttrD4TDNgQFC3q2oylsPDN9L\npNhLJB9w4lGDP90XZevG9NseO/YCXrlyJW63u1RW+oEHHihN778bDKcQJVfq0Dj9te8SznEer1ry\nts/nLQzdopC3KqrYvRcMuYXo9hXjtzdufJ2EJqxtFwpViAFIbcZJNlOWia27m9WrV7N+/Xri8fgB\nq3YaRpp0wQ9Y5A2TgRHbM9xz5sdQLriEzIWfJzJ9Ksl6O7Z91fzxDoif6VpDsFD576AOB05FRSlU\n89yen5OIG/R1VxZk0Ry2Nbr8DIW8MgB6gMHUNoxcFpeWZXpZXZloVAwoQqFQxbp0d3c3w8PCl8Dh\ncODxiOl6r9dLPB7nL3tGufLBPeweyRDJ6JwUEjH4DU57YOAuhtp50WgMOHE7VHQstpn2c31n6dUM\nJqbi1ISIf2vO45TWQIDffGoWt31yJlXuyejmMKpLPO+u4StY1nz8uH7L6haP7hrlusc7KrYHHSov\nPpOgvydfEvv/Wp/g6b0xcrpJLmviciu0THVx1ieCwmlzPzb2JvjpA0+ip/dimBp+9+GvZQ9S7CWS\nDzxjL+723flSzvb9sfQCViJOLhKmulqU9wRKYg+wefNmcrnchOcfLIolnJpcmb0T13/9Kyj3IwhU\naWiaguaAQs4qCeuhFHtdH59UxjVJxLH7ikKjo7HHP0+0CWGhbTOFUI1G7POHh4eJa0F+0e5jJJmt\niK+P5/pZvfOfSOWFVZnXk2T1AC7NIF0o0BOxrW+H30T95GXoNTVkq0NkygYUs6rH+yhMTQ3gNm0v\n+hrT4EKtDpxiABFPxVj7VJwNL6fH5S04/3Mhzv9cCF91CsuRRDECRNLt6Lkcbi2L7mooHTsm9mOD\nmM997nM0Nzfz0ksvlbzyr7rqKqZOFTMiZ8wY4VsfHeCBrSImfrRrDd/9SydXtrzJz+Y/waju4aPh\nNwC7gM5YlkKAG1ZOJo3JT49dV9r2l71XsHN4BU3uGJ+oHUI1MpgP/hbzzp9Q53MyKehCoREUk60z\nxdp6JONicdOx4/pt2danyT5yP/FcZYQHKYXREYM3N2RQi9EZo7qneC2dbMbEERggq8fwB8Zb7KZl\n8d3netlcdTxOxzCJXC3JnCyEI5FI3gHla4T752p3ZHvBsjB/fCPmdZdz1qN3Mjs1UtrvLHMW6u7u\n5pFHHgHgxRdf5IEHHgDEbEAy+fZr8IqRwT/6nPhs6dR034Iz04GiJ3Cl2v7q5zLK3rvBoue7y6WQ\nz5tkitOnHu+7d8obY+wZy0ujRgzRPwXFyTXXXEP3lNOJO8TSR7Bo0XZbYoA0Whb3Pzo6yj7fbKKm\ni7BWUyH2beE/k9Vj9CY24kyl2R6NEs/V4nNCMq8Q18SUekjNUDX6YEUb49Fi6lV3ngZfnmMaX+Gs\nWb/jvNn38q3mPF6j0mLPKQqqouCc/iQAih7ALHr+jzmUjaEoCoqikDOSWI4EiuUknU1SyOm4tGxp\n1mbs+YDSMlBzc3Np4JjNZvH7/bhcLhwOBwoWC+uHiVteir5vpFNh7ph/L0uCQ+xM16FbGimXmKnw\nF6e5k2W1CcYyEla59xNjwIFCwdWMYqZJPP0Y307O5uk9YjDyfHsdhqmRnSeWqcIpJ5OD42dELm9/\ngr9pfwLXfv1npu30yK+/2YBhaSR0MWU/mIzSXvuPhCd9n0d3/4t9jmXxhQf38PSeKF1R8W9DwaSq\naoSR9GTCqSNT5laKvUTyPsWyLCx9fPav/cmXWQrlYu9M76W252cov/k32GWvRa/Y+CxWxp4SvfDC\nCzn33HMBGBkZEWVaN26kv7+fRCLBr3/9a37zm9+8rcd+YKTS+9uZH8ATf53q/rup7v9tycHpYBkr\nH6so4CumwPX6VYb6dVIJ8dIvT6DzbmlrEwOSefOE5T5nzlz6xqrcqS5uu+02+nK2w9bYxPyIVcCy\nrIokNKlUCqs4HZ3WfKVkOrqZo310LYuNpTTnq3EMDvP1vVMYSk6nyrB/669vu4eHZ9xDNNuFaZl0\nxl4hq8cYGdZRVfjk1EFG4ptYNnkNzcEOLvUs4MI6e+Dzy1d+wMdrLPIouL0GuIXYafElpWO2d61j\naIJBWF5PYmli4GNmdfR0EpcjWxFy1tXVRX19PS6X8DWwLIvOTjsDXVOTWOt2OBxctCiGU9VpT9uF\nc4bzPupcYgr+qfBMzp0dwqOK/ttmpnghu4vjf3c5lmVhPvhbpjx5D63uONPUfWhQyqmnWiYXTYaC\nd2mN/5EAACAASURBVAaqkeb2ORextWYWz27vx9rbRnc0yCsdnyzdN61rmMAX5hc4e9Y9XBu5jW9s\nvQunJf49VefFc3//7Cl8fE41Slkc/b6+RkZyzaXf9dcb9pT26aYdVhjPGUQyOj97dYBbimv7Afco\nDkee4yctoiEwPiLjcCDFXiJ5n2I9vRrzHz8zLuNWNiPWCi3LIhE32NtmT72Xi72mj2JmDfR1m8df\nfMD2CJ42bRrz5s1j5syZ5PN59vz/7L13gFxnee//OWXO9LIzs71oterNTS6SO7Jxt8GAwfReQguh\n3eSGhMuFBAihJAQTCBBMwCAb44qrLMtFLrItyWqrvlpt07aZ3ekzp7y/P97ZOTtaG24C2PeXu88/\nO6ef856z7/ep3+ewO4ndfPPNtd+zk/hUM0V49HYCKVl+ppVP4CnNJQtR7SxaRbpujeLhOdt/l8w8\ny+nrArW4cPdiL5WyYGTQrFMC/lDJZrNs27aNxsZGlixZwic+8QnOufhSslW3bk4LMextp1QNk0TN\nNIs1U5aE6RlpERfdsc/lclRUCYQl1VcrucuUh7javo5LnMtYPupnyHGVh+TEkdrv5dPHMIIqTapB\ndvJBnhm8iRdHN5KZsonENFSvDiUJTFdb17FcrASg/YN/S8v7/4pT3vpndHkcLEUhNT1OIiQT2Tzp\n82vXGBpJ8Vj/1+eMxYxlD+ArhpgsNpMMnABcjobJyUna2qoJdsLCM/k4ZmVWHX0V7NetW8faTqnk\n/fD4KQAEtQpDZdfTcaCQIOLVeEP5EJ/adwslT5rjfij7Bdn+3Yj7b8f/2L2cGh7FUG3eq7fwPq2Z\nN2tJ/iq/BcX7cwqKhrDLvJBYjoLDguDPuSv1Za488XWOZ1bOejqFgxMlrjtjBS2h4ySDQ5wtxnjw\nik8AEKtkURVY0xLkI2e3UCkJfAGFZaurrvuyG/ZadVJDG9OWzz85K8kvMWXwHq2Z1c1PAjCx9wDF\n6UleDZkH+3mZl/9LRWy+F4DKnu116x++O8NDd2V47MEsz2ypd69PpS0O7SthWQJFWNhV2k+lq5vy\nP/2K23vOlDsW5HGKUyI0fi84lZrlfv/9roU+m4Bndp10ePwe/NnnCaUewcgfJDHwT+iVuZ3ZVCuD\njQS64OSm/9Tzz4C9Z1bXkhmWvPETFsGQWmtT+4fKXXfdBUhLdMadvXNIxs7fdop0Xx8ILgdFYXH+\nAOc7B0goAdJKkeuisvKgUq637CtatZZc85ATFZ4fypEpD7NULK/tNzKLfS+pp7m/9Uf8ZsvnSVQy\nKD75rEumqsx0QpDL2IQiKqau0WW38ybrxtr5yoYKfj8eXwgtGKZKTYDhgSWxKxHUe4nUYheGVl/2\nBjBdHgD/GIrqkB14M47QaOjuZufOnXzlK18hk5lGhEbxBOTzhibuJz71AGs73e+jsVHG931eg2nL\nYP2z72ZfsZmYVuTMyAhHCtIvcuULbwHgtr0ptoaXETVzXL/qu1y/6rs89I4w9+e/gai+4o+corBv\nsgHHMVEUhVY/jC8aI+VLcyB/kOPFCAXdT9Q/RqzlOOWAyuhZOZLBAR4+9E6CuqQX/uLmAbb05QmI\nEPmYilossHxplJFunZ6GPk4JjSAmxwDJihcIqjS2SGAfzge5YIFUVFo89SGFsfwg6VI/kwV3nFdF\n+nDabmVhfA8AU+MyxPFqyDzYz8u8vAIixoYRO5/5nfs4992G2L9L/r7j51CdcKy+gy+5f3baqZX+\nzPCa79tZYv/uEgN9FVQri5WWYC/e+BZyuRxlTcagne98EVEsEEg/RmB6K/7Mc3UMZy8ls7d7Si7B\njFFwXcGW0UwptKa2bBemwZLH6eYYqvV/XuJXroKnMQvsZ1jyAOLJP06r0LGxMVKpFEBd1vztW3fj\ncSrcsDrBGaE8TjWWvMRoozl8KraI8OYFj3NxvB8QZDMOZsUhk8mQL5aoKNVyujB8+dlJvrxlkOxk\nf921x3Nu/DbkL2CkpEUdubRlDvuaWVEpFQXhqEZRLeMnQKfoqm3XHbWWkJ5LhhBVr0HCX6BSNkkV\nHqzt6/iPoZoxIt76+vp8ZYIjqc20Niwk2lhC2EF0tQIJlWf334llWewevouG0w6R8T+Lak0TmJYl\nbwpw+umn09TUVLP6nzs+wRUvvLV2/tZcP3snwwyUIpQdlQp+fNVKgF8aS/jSqR9ynzdQredPynfu\n3LSRm4dP5TZnCiNynGCDj0qVmTavqPSXZP5ApzVY90zndN5HIjDMROEgMwO0YzhPSE+Sj6hUzCLP\nqd9l6+uDxE/ZyqruH+P85Qd48GfHSI3bBIMKTaP/Kp9RaFy8MIoHBaFJ5aZsyfDGkwNf4qEjX2A8\nn6pdu9z9A6zEk+746l0vW4L5p5Z5sJ+XeXkFxPnbj+F87+9rFsPJIoRA3PEfON/8glx+YWttmz3h\nHuPcfzvh7Fx3+dr1wToLeHTYxCllKO6ZQvGq7O4zGBsbp6S5ACmefxKlmrmtCLvWghRg5Urp+gz5\neuhpeSfXrlnOGfbPZIa9sFGcAma19jww/XTtuFz8tWSa30whfDb7x0/FpxfxaCaTinTh6uWR/8MR\ng2I1Oco/Ky4/myXvv0qHe7LMcA+ce+65xONx/vmf/5lyuUxKCRG1phCOQ0i4ik67fwmqsxBVMemO\nHSAecCsHHn5gJzt27Ki58AGmSs0UTAlEKybkOBSRru1U0T2v3mPgVBUc/+oYT1bfTVnIdYWUtCjj\nSZ0xb73SlE/ESS1cgFL1xPgKv0RUs/Wbwl7UTJZ8YRpP8+OUO36KFd4HVphS2bXGK5UKk4Uj2KJC\n2GglkZAWaEtogIeP/wOxNUcAwaj5vLwvdRRvzs0FsR2F7u5ubrzxRgzDQDMn+ednx+vuU7UqTKhx\nBArXPf8GVLtSC428nKSbNbZeF6CYniY+MUEWm6Oahj8oqIRlp7/RaY3ewBsAWCDq/z+ivgnOaH8E\nv/EciYDcf7pkcSITJx/xsv3CerIjUfUWXfrEJ1l28Fd0JMcRlnxfw5Nrye53uMFIIlS5btPhd9Qd\nn7O+QMw3yvuX1n/r47kOthqnUcnPN8KZl3n5bylCiFpquTi096V3yrm11aL/CIwOoZx3KSxYjDMh\n3eOiUkb85mbWP/e/6w495Uw/zW0eLr4iTFunB49m0SqeJHNijMpQEf/yKKouePLxHTXLHoCJesXj\n3HWXcsEFF3LdddexYcMGABqj5yOEwjmdj2IoZRSngGoXUBBUfN1zHsPRQqDojIVex3jeJTyZNCUJ\nSmzkZuLH/wnF/v0TXrHgoGpgvEw/+mhDfalTuVyeUz43Ojr6exv9mKYE1SVLlvDMM9L7cmRojIIW\nJGpOUSgU8FfvV5/VbrUtchivXiZgWJRNWUY3lXJ48cUXibZUFSG1nsTm8HPSyptSZLb4gCnf+4ap\nJ1kQexFRkWCtGCoLF/4vtlkZDBSUSoJS30X4gwqxBo3DnmOkkLFfR9OY7mjDDAawfY/haAOgZInZ\n8rv5xZTKd3aVEbFFtLc1YcdeQHhSKKhYOz/D5LiFbdv8+Mc/5vDOh1GA/ZP30tiVJxo+xLKmHdjI\nvBAtVMBU0ziWRplJlLKb++HzOMTUCeL93yI4cT8NAzdROqmaUWFWIyMRJCfk93h2x2+58dSvcklp\nrjK4/dIAIz0eBpd4sKpJkH1lHdt3HHQJuJl8llSmQsAqEg3LsQ1Oz1UGA9USxMHRCp5CgnJAkOmR\n3hy96Hp10k0SGodbz2XbCyHu6JXEQSUzTG7Cwa+UMNtktUquPJdD4arlP6IY+Enduk2H3wnAvt4/\nnM/ivyLzYD8v8/Knlvys1qzDAy+9z7Tr+nNu/6n8IQQkGrHHTlT3keVOulPhDGcrVC2+zoVyUvP5\nVdaeG+Sc7qc4q+MxWrQjiJKN3ujFo5bxepIIzQVI0XcAUT3Hob0Ztj1uMzm4kAVdC1BVlfe///1z\nblMz0zVyEWuWC3iGL1xUY8ClgkPBdN2VQzm3+YdeOUFgyvVcvJzkszb+gDrHnX3meQF6lnrn0JL+\n4Ac/qMXeZ2Tjxo08+OCD3HLLLdj23LItcBu1FIvFmrJw7yEJ0glzgsceewyyEsz9s6bMJXEZXvGo\nDvmSVOJUxUBTffjjMkGtMVL/vgdGpYKV1uT5J21B1DfGOY0PE1AdnLINXoNibD0eT4j22PkoioIx\nvRbF8bP8zCyqppAzx7gz+BDDp67mxJqVNWY7oQ/j+J8ABRqq3AC7iwq7iyoP083yhWegCi9Fyw0n\n9O7Kc/PNN9McyHNjR55AlT/AVEc5e8mtxKLHmQmct50uLfXSCUmPK8ojmNXv4MoVWRYVb0U3xwlO\nPU7FLFMR7ve2JOHDaVv9ku9gcXInquKQCLnfiSjUg6huQqXa1ac/D3ltLwgFpdgBapFK3yABq4S3\ncZrxXAc/PvYXtWOfH7xMnkMr0xQ6RkxRUawoKA453whqbjmx3R9l0U44V4vywtsbONB9HdlwF7aY\nS5RjNv0WFHkvtnj5cJKGHxyD9i3vpgkvH7A8dCWjL7v/n1LmwX5e5uVPLVMukIv7f40oFRDFAiIz\nqwHNlJuhq8TkRKpcfQNKZw/28HFEPlunELRs/gGto88C9a5tnArLYtKtXjoklQxPix9DK+PRIkQi\nEdQ/+0u5b++LZL9+C8IWGFWXZLEgam1krYpMrNNVN66smaka772jhzG97dh6A5MLPk228XXYHsnw\nViw6lO0Z8pEk+dJJE6aYS2AzWybHLUaHLRqb506krR0Gq053y8Acx6mRAe0/MY3lzHUL79+//2Up\ngWfAfsadP61H2TohQSpk5zh69ChmZi7YR3wpdp+QCo2uSFAP+rroanwzeKXS0xiqB/sd8WXkbYdp\nXQLxtKXj0/P0rzLwoiLKDgTC5BpfJ6/vl93pwpV1OL4hJpGegVxljJC3sQbyrrjLijVXufF4DFYb\nn8CuWDgeqTxOpkbI5XKctdxDXtjkqXLil4eIKjop0yQgZG16xZBgX5mUgKVZqdo7ny0ChaNFWWr3\n7s5pvrCwg8OTJfZlf3eehd+Q3+z+oQ2MD7+2blsmrlLWPAQ807xhzVcYsu9BMROolSRCK+JkywSt\nAhV/kclCG84sEJ7ISld9S+gYVy2+hRsW/wat0A2Ao02jWEFMT4i2SJS1epiztDCHFl2PQKBbc+mH\nHUN+D5lSG7r68jBqUySeXUox2M1n+x4GX4JA7I8TfvrPyjzYz8u8/KllFtgDiDt/gfPpd+B85l04\n3/grRLmMeNbtBS6GB6ClHaWpDWVRNXO772DNsp+R1WO/5azz6zN7Z2fEVwby2KEQnjY/HnWSaHAl\nXW1no5xxLuqnvwzhKCJTwJooEZhFV1ooOIipSV687UU6Ike4cPWL7rbRXWy673ZAuuzT7R9mcsFn\nEFqIYnQdKAqWKdj+dIFUoYmhzAIeP3Y15aJAzJpulJcA+7GxMQb6c+zdUeSpzVKhSL4E2J8sW7Zs\n4Qc/+AFlxWBb7Fz+dduJ2rZAwCVQmaEKHh8f50c/+lGtJatpmqiqSqlUIuWJ83z0HAAWFo7UoNNr\nGES9Kj5lFth7p9gxIJWYqM8tf5wSFrcfkwrHqogbKmktTLC16TQu3u8l55HKRNby4NPlfRmKIi17\n/6x3qgWYLDRSSDfi+PvZP/lbjqQ2k6+MEzTcXvQ1qd6frYWoWPWgEqkOZYkx/O0T5Fu+B4CoUs56\nYofpc1wuhJKZJgSkTBPHqa8Nt4teDCeJxylz+Hh9XB6g117N+/deIxcKSzgxYLFUmds/ICjqk0Kt\nBT8GwKwkOeHEaT3iZrbvP8dHcOkR4gH3/Qq1BLYf4ZnC60sSSyg4iiBXiZHQCwxNv45DE2ewoFrW\n2Ogf5CI9xuvik7xr2W9QStIDo9ghTD2AlpRKgQ1YigXRB8ic9jc4nhRW9Hn3up5pAko7b1vzN9xy\nwxL603/Jvb0f5t7eDyGc+vBSLAPFQJgT3T3o5hS+WDOvhsyD/bzMy59YRNVqVy6/Xi4f2AMzseVD\n+xDPPioz9ZuqdcvHj0CwWofcLvt2ixODiPETdef1jB2nubGeBU2vuPs4RZuyEaE/7WNxQmbM51Kt\nsixvxamof/UNAMyRIkEjU1McntmSp/h3f815z32JyxbeykLPZgBO5NrRC8OEqjF0RwuB6gFFI5ux\nOX60jFlxeOAOaUHbwoN22ofxN3ZSLjnYnllu2cqs0Aayhv9Xv/oVO5+xOHrQBc5Q5Pc3DdmzR5Y1\nmdWkuMePSQv9wIEDFAoFli+XCtMMQ97o6CiFQoHHH3+c/fv3U6lU8Hg8lEol+qt5CKqw6SkeoaVF\n0qyeffbZfP+6Rbx7jQTYtW2PY2gVjqcNTBtWtrigdbzKqHdZxOFq9RzufNsyftwzyUWjL7jP60iv\nR8bS8VUVLQMVp2RDwA1/mGqcO3vfJ+/JJ5PLnh/5d2xRIeSpB/vo8L+jCItC5Byem34XhybX0KRK\nhF/td2gw5HSfbJSWuC9sYoV3o2ge9FCBIFqtCQ1AuTKBbrUStJZTooRadq/nWDr5gSAeYDQzyUP7\n3br5sXKATcVzasvtEakQLauGevRZcftOTz09s/BK5cgptzBWCbL86XqFxd84Rlyr/3a0Qg9oJbxt\nR4g0VzP3Kw1c23SIoekzyeevJmxmsR2NkH+KqCLHxKuXCVrSQ6FYQYJGjjWN8vohRcPyTGG2SiW8\n3P09Kp034/hkpr/QMxiVRQSNEF5d5T2nLSFTTpIpN1I+9mE8w2+q3V/LkQKV9lsYOf0/CHf8cSpI\n/isyD/bzMi9/BBHlMsJxXnpj1bJXXvcOlMteD4MyQUc571LwBxEP3gmlIsqlVaYvIdwJPxxFCYVh\nZAjRfwSrWrtdu+6W++uY7Yz8QWwtREZpwy7YpB2d/rROxFdhpuxopmVpQZHnsnMWISNDLO4Cq3dK\nAktlaFZP93IMn2aTDDViOSBU914efzDLi88V2buzVEeJr6oKXr9KuSRINb+XaUNy8udS9c1a0uk0\nqjKXWWx2qd1LyYy1LoBRQ1pMZVtw88038+CDstRszRpZCjgD9rNbrT700EOYpolhGBQKhVrv8nXV\nnAK16qINh8MEDY24V07WPQsKTHT/JatOPYvRrIe2Bo3RqUfJl46TEzZ+BT7TMUG81Mbg4CDx1BBt\nxYnadcvP9vIN7VuYjoGv6tIPKDp2ykRpdhMbx/OuFbiu3SXEAQjO4qrXKhN4CzKHoOxfwt4DYUzH\ny5tiQf7s7Ga6fAolW74YoUqAVT0mwpMCRyN+5n629F/OobS0bCu2l/7cdvYWW9jRfwXoBbSpsznT\nPhtFKCiOgZis5mcoNo8fDTEZvYLjls3rdt7AL/dKi/xNqxJQZaGb6SVgVWHnkp4oF4UbWP0S710v\nNzJm+bht7V9h9M8qx7O8LGmVoYwD42eys+/GGiugr/3XhJyjAKy3uslZXkbTGVInBvEIC4S8zuzA\nR5Mq1/nQufGU77vrFQ8hbxpLl9/MjBIitAJCMUHP4dNlmKJg2nzwrqNcnN5LyCoRzi9DT11YO9dY\n8Ch26JC8Tsurk5wH82A/L/PyB4uwbZyP34D4t3/E+eUPEf0nMcVNTUIoguLxSICvirLhaujshrFh\n0HSU9a9BubJqEZQlICmKgtbcjkiNUenrYyK+iuHP/xL1E38jr33bTxD3bsR57AGMY49Q+OlvyexQ\n2G1uYCoNll+naKqoioOuygn4hafyTIyZ9O5Mofo1ChmdgCeP15DehuSk25623J9D2IKCHaRs+fDq\nJUJem3xZxZqV8Daj5wz0ufH9jm5p0TU26zgODIyE6deuZyjTDVV60cHBQW677TbuvvtuDN2lUwU4\nd0OoPh/hJWTGqt8VPo1jAbeEaiY+f9FFF9Ha2kpjYyPHjh3j4MGDvPDCC3Xn6O3txTAMDh48SFkP\nsL4zxOc/9kE++tGP8prXvIbu7m66u7sBsGay5f1JHD1KLBYjX1EJeCymKic4qqTYJwrENYc9zl6i\nXh/D/f0weIyzKqOszcvEOGsoT6nax33GjZ+ohHDyJrQtqN1bMe8qkB2Fezlfc5O7QrPAPjK6sfY7\npy+t/W4PF7liSQNerQr2jkPZkgBWtrOY6QB2ZDeKZlNsfJAjOaloKAVZTfCIcQ9Zv/QKqaVW/PgR\niiAZ8rCioXpvbaOcdVkzpfjZ/GwW73syoPPO0xpr5Eh+1DqgfespSbwiyVkh6YkxBt4FgCj5Wa5L\nEH6orHBieila+mwAwrExvFVPyAtDl7Mv38yPK24uRjwsvwfDasQsNWEKjZ5QgEWLFqFV6+KVWXcR\nLyxDmzqTy5P1/Ad+RaOx+VFOlmL7RlacWeW7r3oFpkvy/2B7cAFRxYtHUVnT/FztmMNnAVVGwpS6\n9ffSTv+pZB7s52Ve/kAR98qJVjz/JGLzvTj//k/uNttGHO6FuJyYlTaXBIXWTpR4k/vb50e5/p0o\nb3ov6uvfWdtNbUhAehItNUo+0IIeENDZ417j7lsQP7+J4t/9E+WjOUr3P0Nw6yP4bJO2pctYeYpk\nzWtrlWBeLgmefjTPuS23owZ1yhlpcen2NK0dHpKpPbVz55+eYPS3Gs+V30jZ8mNoFVY0HSVf0WsW\nslmZ69G49i0xTj9HglmyWcfrU9i5rcDw8QoV28CjlnnyySf5zW9+w8iILLfStXDdORriv9uFL4Sg\nt7eXkupl4qT4tQDe8IY3cOqp0upbvnw5o6OjPPDAA7WEvNnS1NREqVRCePxEvJJFT9d1EokE1113\nXa1hkFmpyIRFj3y2rq4uHC1ILKSTWXYZz2rS7e/VsgwVJQiFTQsx0EesoYGPliVpUskMUTTl8/r0\nPAFUEplq3oTuQRTyOE8+THlwuHaPISPDMl8nPdELWJa4ipDhegCcKm/98YaPsn/PrK53hiyN83o0\npi24dfNBKrbLupgrjSI8MgFNGJPQfD9CKPhLrsJR6ZSUyVqlEZ+Q13nPuqNctVyepyAcjtv38pv9\nHyJbdpP1ZprXVCozPQ4UAlXIuWJxlLhPp5BTcQJSOQ6xjJbcDUxsW0FYsVirSxB9wEnD4I1172vi\n+FvmvEMA4R0HK4TieDHNGCU0ekJ+enp6QMhrB2f1k495RkiMvZ7WgJsg+6WjZwGwIDzMJ7wddDqu\ngqUaY+xP/wcAI31FNm7cSP+wzJPJGCG8uhyfhYkdAMSpd9unzb2MpOqVzVdK5sF+XublDxRx76/q\nVwz1I6rZ4WLTXTDUj9LpdlJT3v4RlLMuQPEYEJdUrEprh/yrKKiXX4+yxOXz1hoSMNSPJizygWbu\nvPsX2OEo6rd+/rL31PDiM3gcGyOeJBqXuQBrz1JYvGLGlekQ86VQgzp61b2rWlOsXR+gp0fD0Tzg\nqzY56d1Nw/QI6bxbAz1dXsUzWyxsW1DIy+NnSgBPFkVRamx3Q8dNTNuLR6swcFgmz3k9jXQm30Q4\nJF3WC1ekueC1IdTfQ4U7Pj5OJpOhqM7tYrZs9Wl0dHTUlhsbG+uof08WIQQCKNvQNOlhcvylqwXs\niomhlXF0GWYJh8N0LVqN7hQYyrsW2/pYH3nRjulYRE0fU0UvnmQrrd4RvHaFYU8zEwX5XtaFpnl3\nPsHUfRKYxS9/gPPnb0Xc/F1KTz4BwFvW3IRHMwlYU1xhTnBG8hpUpX76Nr0dbN4S5vhRV5mJWwcQ\npSKGLvf9xSgUTdcSFtE92AGXk1+pen88Y1ehDt2AUmpz9zXj6NUytJJwx/KEcK83VXS9DcmAfOfF\nkkO+2mgmNNPRzrQpVy1iJ3gYr9LEhtd20hJbhmNqlMo51FlJgfVsBaBMSyVuhvfg8KTb4IdSMyYW\nmXKMVUqAaCXBiiULaBj4AD5UQorGk9YUthCsaOrnLWv+tXbo3x9dz9a0VMjXVLsPvt4f5qrvl3Gq\nykLBt0/uXI4zNjnE0QOuJ28mVIExyalaiDP0MAnFg1Juwr//K1yntdDme4nEyldAXhGwv+mmm/jA\nBz7AZz7zmdq6b3/723zuc5/jc5/7HB/72Mf43Oc+B8iM3Le//e21bT/84Q9fiVucl3n544i/Cjzj\nEhjFEekCVV5zdW0X9eKrUD8kv3eM6oTW7dYXnyzOrCz8USWPaZYZHBxECUegR3Zow+MCrXLJtRjF\nKvd99+JaDbxiF1lxip/LXx8h7JfTp+rXUMtygtfMKRRVQclOoSab8F+5tnbOhkfuQEFaMCeyHWwb\nuphSQWH/rlKt29uCRQbJZp32BfVldtlsFq/fBcKKbWBo5VpZWUPwVHQtQDS4CNspsnnLPUykjv1e\nd+eJEzIZsWO5ZKX74nkJOoqSPW3EU5/xPMPVPluuvPLK2u+9+w+S8TXRJXx4sxpH9pc4cqBEdtpG\nWBbOPb9CZDNYFVuC/SxOea2igbDJVyR4XaBG8E9ewalGBUcbZnt6OU+d/b8wkq14kw7Lpo/RG13I\nRG4BMWOKay2F7BNjWGNlhpvPYbh5HQA7V32YvgVX4vMKrAVvohiW70Ozs3hKx8Axa2WQql3A0QLY\nJ+koxr/fjfO/P8m0109z6BheLc9UaYyYbwF+vZPw4iGEf4iICKFWwUxRBIrw4EtfiJ461z2ZY7DL\nkUA3UZZA+KPtYcysm2WfLrbUfismTIxZOCYMVpMWo5qGqtg0h7/Jvcc+gGOcwA4eoTW8Ak1Tau/J\nsoqsUoOcHZTXSQuLZ/rezolsN56jHyOAzBdxqnko2wauwW+tAMB34o1UcAihsV6LUC6HMCcHqGSX\nE8vLZM0JxyRdqaet/fXwau4ZX0LWmstd75zWRsWqz5eh7VmaLtrBZMqttgkrKl4tT5OmcaEeo131\n8jajmQ3a62j3p2n3t0Gwi1dDXpHUwIsvvpgrrriC733ve7V1f/EXLuHBz372s7oSmZaWFr7xjW+8\nErc2L/PyB4koV7Owl62BA7tRLn8D4s6fw9gIdHRDsQCLlqMscOPJlUqFRzc/wgXnrMJ/0RXgLe/L\nrwAAIABJREFU9dUpAyeLd8PVlLdJC2/a8IMtu451d3ejfvJvZQe7hUtwPiyz/WntdA9euAynyuKm\nmROY9GB4VVYtky5j04ggilXgrwKHyKQhGsN/egeBFa8h9UID2iN3s2NwMa1xL88PvAnLkcrF0UMF\nCsUSECQQVFl/cQghBPv372fRokWkUik2btxIMtlCR+MGplO6tOxVmTAYCaxE12UnsXIJrGob3Pvu\nuw+Aj3/847UkuZNlcnISr9fL3SNSYVrZ3sAFbTq/TMMT4xrvckQt4S6ZTM45vqvLnXSP+RdyLLCI\n06uW2eiwrPM/4itzadN2xN23MFoIM6qtp9Gfx9FcQqFAqsi46qNoCf6ixSY7Iecyu5wk7XXd8Hpr\nFzjPkOzLcTTcQSmX5IxIL2PfP1TbZ+eaj1X/frS2ztAtKsGlmP4uKoHFREc3Epx8gMiJXwIqE80f\nR7XzWCeFMmKRqsU9Psp4ucwli3/BZKGVbCZP4/E0W31XsqpD8gAkRBNXOOu4Vb+l7hxqyX1OBYVl\nRBkCNhc0GtVWjp0ANb2Eng1jZCsnSBVbaA0PYRXjtI0n6T8iQX6Xk2eZGiCAw3ntm/DqEwigtPTv\nAGgKSxCOx+O0t7dTnC6hKwbn+jzszOc5JIqMTHcTyayiRwsTrGb0C8BnFymrXjK71xCKXYJa6sSi\nSEhxlc6du3wI4SFWWg5sY0KYTOhjJJHAnrEMNg6sB+pDPGVHw6vaZDsb8WjyPRkoLFEDHEzswgRK\njlTG1/gEl4X7uKznt+63UXAgCCuD97NyKUy0/Q/ivDryilj2K1eufFnyfyEETz/9NOedd94rcSvz\nMi9/XKkS3SjnbkD97q9Q1r8GAJGrOh4nx8h7A7VEsqmpKe666y5i5Z10T34fQ5tEvfQ6FO3l49NT\nHa6LMlflr0+n5QSjBMMoi5ajzHLpKg0ybjrStRTFH8A2mjCNFgJTT4BwUOw8QV26cseUVVDIUThQ\ngOwkOCaMj6LEGyWlrRGCjgUolsU7rrme5LrPYlbdq9P5fSA0hgYqdbS2g4ODPPTQQ2zatImNG2U+\nw8TECXb2SiCpOAaKAh61QiJ8Jh7NnRsa4t5aO1iQXoGXHZdcAUJy6kwEdHwenRuv2sCfr29lsmhx\n297J2pjffvvtdcc2NTXh8XjIaFLRmKqWBXpPco2XS4LMxlupeEI8z3lYtkpHtK9WRvj8UI5fjyc5\nUqVaXeQVRLpule+qnCAzy/9c9AgqsQTjrReQ8wSwHC8rihJAykaUqchCXkq8pWpMXfVRrjYZ0s0U\njh7DnipiffpDFJ/pw1LkOEZiKpdfH+HCNa5H6PplVnWcRqjoGXxpgVlxFSAffoJCHi9s14JVy66H\nREEwNS09SY5viC/tuYLCgmtYvPZtXL7oH/jVi39JvhJjabLAOaKFmKIzPGBSwWEaG6EIFnb/lM6k\nW68+I9mymyPg9XqxnRIIDbMs6PR4GamGChZVvVReFIKoXKBGiGshLkhvYTI9jJ1bIu9PCGKKa8ue\nSMm4e9KYJmV6KeLwuDXFMwWpENwztoRBKjQoEELlU0fXcHu6k0ueexv9xRClZJCA6tCt+rjSk2CD\np4EV1fBRSJ3mEjXGNYaoA3oANWCQUtz36uivDnse/F8Qs+/t7SUajdLa6iabjI2N8fnPf54vfvGL\n9Pb2vop3Ny/zUi8il8H5yXcQ1RaxTFVBNxpH8QXAV/VQlYoIx4bUOPvHU2zevBnTNLnzzjsZGRlh\nYVxOXkZeuvkLhQL5fJ577rmH2267re6aQwN5tp3+efYtfRuWkyORSDA2dlJDHWHiWxZB7WyBlafz\nZPcajqy7XG5TVAoNF6GbE/inn6Wx7yssEPcA0LCwERyH6Tv7KP5gI8l9fw3pCWjrxFMexjKaUSIS\nyJRcPfBOFfbgOBU0GupobWcAesbNfrLMZKH7PXP58bt7Eixbtqy2/HKsdwAPZBq5Dwl+b1zpJoZt\n6IlyVnuI3x5IYzuCp556imcPD9Pv655pCscll1zKvc9OsSu2niHfAjqMDtaqIRqVudSoT6z/Kpsu\nuqm23Nk4CtXY85e3DPKN4QQ7s81oCJb6TU6En8DxjlC2/JzY4taR33u8m9v3fRBvdZxUxSJmyPt+\nfN1XeersL73kcxoD+3F+8m1ENgOKhqh6H4rRsyn1y+8o+8gw5Yr89roWejEMFet7/1g7RyDveg8c\ny8c/+D9Lq+NWPwREgB25ZaTTp+A59mfY1dg9tquI6Z4Kx9Nr0CcuBr1AAA+rSnHMI0EyZRunSo27\nJB7CT3UcBWSr8XrFC/6QLD3zjLwB47ikYzbLCZ445iq7Z555Jnq1fWy5JLg4GiGAylmBEA1VAFcU\nhbfqTSxVA1ymJRlJXMWk0YxRVdYKwoW2ZVGp9GmKyeLoADsyMtRQRrBxOsQvjp3HTQNnVI9TyOHw\n7PgZPJk6i7B/jJA3zbnRUa7xJLnWk6SrWnK6UgsSRWOsI8ZC1ceq5rlKTMlUKHbKZFtbb3gJxsNX\nTl69Cv+qbN26tc6qb2ho4KabbiIcDnP06FG+8Y1v8M1vfrPOzT8jmzZtYtMm2SP7a1/72ku66v4Q\n0XX9j37O/9fkv9sY5h65m/zTmwl0LyL05vdS2m8yDcS6e/Akkwi7gTEgoIJfVZiwbbIeOTmUy2Uy\nmWk2LMmxulW6/9Pjg4wWB7jzjt/QErEYychJMhwO1yzcPTv6mUisZiKxmoUNz9HR0c6mTZvwer2E\nw9UM9tIE6us7cXreTdYf5MVwMxckk+7Yx86F0Y2EJ+6uPYtQdGLtnbXkJ2u8jJWqxlZD/SjCxNd0\nCpoRJgWENQVfMsnSlQ4D/WkaiWIYFRbv+TWe9i6SyffUnhN4yaz3VG4HYx7pql/euJNtg7Lhjlcr\nULYDdC2MY9LCrl0ya92yrJf8fiYmJjhBpLbc0Rir2+/1p8Ff/3Y/x0seIpEIBwNxMp4YIbtEwhzl\nsWED73GHt2pN7Pc7rNYidedfvjrK/j1zFY1zOjYRS4QQJ93Ti5kmOrwVsvoQKNAV0RkcX4SxsBHd\nKqKpDtmqkmNU6WjbI4fJOytJJ45iGi/f9tSoZBBPPypZ/D71RTgsXdiBhg4y6VkeoV1HgdOYdFQG\nh03OtywcwFHgWOGpWoH5iakebCuErxhFm1pLJdTL6WIttwwZtPNBBA6a38IpumVqQijYjoVph1Es\n+c11Lv4+HP6fAGRN1xtzauNqXpxlVc907Wto9VGsJFALC/FMSg+Ytv/veMSc4pRF7jyRTCZJGhr3\nPyyPX9QU4W1TKoolWLwizKHeLOiDYMkETF1RuEiLMR1ZX7tmM24Oy1hFejWWJPYQ9hS4f2IRgXKR\nxsR2DK1EEB2naveWEVzb6OWe8TJH82HO6byVEVEmgYc2tZ4PoFE1eJe3leHoQbSUxYLYIU4WXzBG\na1snTvh/oHgbSRrRV21OfFXB3rZttm3bxte+9rXaOo/HUytz6enpobm5mZGRERYtWjTn+EsvvZRL\nL3XrlicmJubs84dIMpn8o5/z/zX57zaGThXICmMnKE1M4AzK+twpR0GZeU6vj0JqkuIuWWKTMaTr\ncXh4mJDhsGGJW/o0NTHMHQ/fwfruAlevzPDDpxMcT8ua7xlv164X9+M3WhicuJMzu86oJTFt376d\nVatWAaAX+4kDmaLCP/6LzHexbbtu7D1t76Nh2O3E5agBcqLe0rAmJUDr6iDgJ2XGsU0JztPf+yrZ\nhiaWrUmybE0CeAuP/WYfPccfgOMwMSHpUWeuOQP6a9asYfduWbs/nd/NcUdOvmuan2Pb4AZOaX6G\nszoeY+Puj4AqJ0O/x6FoqgwNDc39fhyT57Y/D8xm5CvU7bck5ODTVR7cM0h6FDIeacWeGb8M0xni\nt3vGeL2eRFcUVs8qYQNobNFZskqhYno5esC1zF+76Nd0xY5QtM7BOnCQQty9/vZsK2tDWQrIWu5E\n+gUGuYKKEaFd2cclq3/LluOvYzDdjeM/Bvk4hlbCsZM8fbpsa5yceBFvZZqhNknI0tbpYXjAxKh2\nxittf4bc8Aj+XUUSqwymCypWVqBFPNgZE/OOO1mwLMyP7DPpF2XOtm2Cp3by0KIU40o/QU8jeXOc\nhcULWKw3kxc23sH38LQ9xYsXuMqGgorf75Cvcg9dueg7bLxnmqiCjJRXLXjhG0EoJorwcP9zbve7\nFzfVe0eCikaDJjhYOEiwcRIlc4p7LSvCqF1gdHyYiQk35yBy4t8AmbdgeKWXQTgKvoD8vXJNO/t2\nuNeI+cbRyjGqhSXoqooQAlVxSBdlKKLBP0HZMtg61QFTnaxXTNoih/FnL6idx6uavDF8gHvGlzFR\nsmnwj/G45RBX6sG+b7fNwjVyHDqDY4Ra70dXLfK2QVBzlVwHndTEBBCDsglM/NHnxLa2tt+/E6+y\nG3/37t20tbWRSLguuEwmUyuRGR0dZWRkhObmV4dLeF7mZY6Uqsxv2ao9PJUCTYfQrBpxXwBKRZwn\nHsLSdMb8clsul6M5XJ8u3RmTiWqtETmJtUXl9kJBXsdxHHQ1gGXnEdgEg0GSySSRSIRdu3bR29uL\nEALNlvdjz4oJzijNM5I4XEHPvQ2qVK1CC0BjS90+09XyLzXkoeJbgKNH3GfLTuP8/Ka6/UMVt0mI\nKEi3/GyGOoC1a9fyvve9jw984APceOONTJdca/TUlq2sadkGwAUrX8DjUVjeYvI/Lx3l/KUaU1Nz\nm5DEhn/MUo9MWOyOyQm4QcsTG/xhLTvdq6ssjns5NlVmR0mOiVG1Uj1qey02f9Qp1pWRAfgq0zhb\n7sNryPU9ym7ev/brdMVkiZovI2gYGKL/aH0oJW6kOaI9x5qDDvFOV0k4rec5PIbDaxffwTnbv0q5\nmrTn0UooputRiOQGUGZVICxb7aMlME3ThOTwJzvNnh99C/P+IxR2prl5v8ropECLG8SuaafgDdNz\n7F5M4eCxTfTsFIWWIONd0qYbTrVT2PdltKzsPDdTbx5VdPY+VW/3Nc2iKf7m1jxjppfSDJCmLkDP\ny+oR4ZUVGgOjEuDafXPDIFFF5w1KC8FGGVYQqvy2NV2w/pQBLo33kS5WiPd/C710HMUuEay2okUI\n/Pueqp1reED+f7R3uuMWMqZ546qfcMPqHwLu+CmKgul3lZCob5JMOcGSKkd/X3o1Xr1In+bmNrwn\nvp2YX1Z0hL2TqIpDxNfNgFPP4f+R8tv5xO7XA3Cjp5l1zfId9eXrqz6EomFZFo8++ij9/fXEPa+0\nvCJg/53vfIcvfOELDA8P85GPfITNmyXX9skufIB9+/bx2c9+ls997nN861vf4oMf/ODLJvfNy7y8\n4lKN0YvRIcTYCOKZx6C5rb4Nq9+PeGoz7HyW8XgLia5uFEXhmaee5MYz6pvZRP0OazuKdLZJhfa0\npdK6maGBnZ6eRtN82NUGJcFgEEVRWL16NePj4zz88MP09fWhWhLsx9IuyNTVlTsOanVZK0lLRihq\njXtfidaXG6WXfZqp9ipNqXdWA5NyPZDHbZeMREzIib9YLKLrLnh4vV5CoRCGYdDU1MTb3/EuxiLS\nCzCeb+MXL34SgDbtOYzcXsJDv+SO3vcyNP12+vqOcf99m9i5LU+pKO/fKPUzXC39+vi6Fv756oWs\n5FmMUh/+jEtY0hI26B0vUsbD6eEiFzW7iWfe6tS33cnxc3uMX2vjLFwiXb8Lfvt3iF/8K41F2T0w\n0SqTMJ0aOcwLCAEvHJpAVwRtHrk+ZXm43KdzZjmIYcr30TX4CC0xN3dBcwp0N+wh6k2xylyAYrug\n1TL6HOPJUwiEqvSyEY0zT3MI513AOnNQxoVLShcbe0vYmTRmYhH+VTEO97wZfzlNY26EhaUxCiGF\nO1a43AjtVoCEMzdBLPoSDt5YcwRHEUwIk50nCmwTWZ41ZfjBcnTCuYvlmFS54meUp2WVueFW+eBu\nvodSbsHxDrHggsfoTh4jaRSYqPjRKuPEB79PeOzXFKqEQ+HcAJ5tD9eOnRyzUFXw+lzo8lcZCING\njpjP/R4B9pbd/VqCY5TNKMtDUjFJT3XgzQsc3xDtinz3b194EL9WJopGzCcb/JzV9n5esLPcXRpj\nsF9hd7aRjO2ltyjvUVMUmqt9GZ6aXMod5RSPZIOYjooibI4fOcLh3l7uuuuuWgvlV0NeETf+pz71\nqZdc/7GPfWzOunXr1rFu3bo/9S3Ny7z8p8TZfC+kxhEzbWb7D+P84vswnUL9xBfqd/b6mSl4LpTL\nhMNhhoeHWNRYxu8RlC0Fr+5aIOctzJNUZXy4MVTlra9a9nv27EFVenCESTQarZWLdXV18dRT0uKZ\nnp5myjpGQFHYstWl6ZwdM9dmTTKCGetDkSQ+X/8JwcKzBDKPM/qdXmjpxPG5ru06RUarnzLajz1W\n+334J//Ckhvfw9nbN7Pz9IsZGJOTpWEYjI6OsnHjRi6/+lpaO7rQRRfOtMJwVmYqp4IbiOc3E0w9\nwrGpZaSLUukRnjh943GsrEkqb7HhYgnyw2U50TaHDCJeDSctl2eUHoD2iBu3TQQ8XNrRxKHJak5C\nNcnN71OZKtlctayBVav8rDzVj9gkAazjxB1ctfQAzaEhns9209ab5dvRUyk5Gj26wq0pjaRe4d+W\nFbl6T5QLk/vZak2zbm0cz+Ah1uz9N1pHn6V4oBn/sghO0SKUOUEgUOHDPQ/SdX8QpbCVeLoXj1VA\nFTaxrgaKZZVr31LfCGlGrPGqMjc5xl83fJfHPwzn9S7A6XgrqQZ53x8MHmGntYgDp7UCbhJkyfbW\nvBszkhFWDehmi+FV0U+Fu553wbNPlPA7Ki86Oa4vRvA5Bo5PKiIzrX+7Fd+ccwE4VQ+APf5aApOX\nIpQKe8a/xvrElcS9HoqOh7ztIaSb+PJ7GatI17RRyZBI7+O8/X/P1uUyP8BxZLOjC14bIt97O7bl\nKkx+T56pUpKE/wRFK4io+EGRyXmaVqTL7yGhFwAfAauEP++Q8ee41qtz/qK78agOjqpzrZZgl28c\nIRQi3nbe7FtE+qYdTJdKfOhcmXCXF3Nt5TPiR3maAs+cWMLKrkM0+COcX6zQsmI1P9q9kx07dtTx\nO7yS8qpn48/LvPz/QcQvf4h48A7Yt9Mlztm3E5afgrLgJEKcmFtJG/eYXLwow8fPn+CdZ0qr/qDv\nzQAUotKr1RS2UADLk0A3x/H7/RQKBY4ePcqOHTvQdS+nnLKSd7/73TXXfCzmZlI/8cQTTI4cIVNU\nmZx0CT6WL1+OIwSZso06G+yrZX6lsMxAVuJJCPhQDZXwFz+A+j++Puf5lff+ufwxOYaocuKLcgnt\n+GF2NEvAXjR0GOebX6ArNcLSWV3tFEUhlUqxP7iCzz9T5n2/PsyebII7jn22ts8IF1DxdeOpjJAu\nuslL+0IrwZC13n2jZShWiX3KQQzFIVzt5EY14zsw/RSegmQ0u2JJjCW6DAN0RAzGB9wxWFul5v3C\nhg6+eUU3b1mTlIRCFem58CyI4l8WoTU8yNapdj6x7yLuDK7jyalOns+0cWtKKj2XJA8TbtjOZemH\naIztYrud5UU7B5agc+QJdKeCf1kEIQSlQ1kySQWhWSwKpmixX6R1bBteM4sqbITHgzdo1DwYAIqq\non7lX1H/vp5cLL9rjIEe+ew7Iwv51h0ZCn7pHdL2HgH/avoXyvcbKFQz2G353R51ihxUDxFTHuaw\nKM0pNwQIhFQ2LAwzm9aohMN2J4cNpPDRQBIruQXVGCdgpDit5XFJyIONEd6NhcXj9jS/ssYZCe1A\nCIXQhEzMI1pt2mNO0xmSz3uk6H7TeTOEcGxKJx5FAeLZI5za/JvaduvH3ybzox/y0WOncnu+3sr3\nelK8fuXNvPWUm/j8EulFjvrk/57j3U3MK5WioubFW3RwwvvQIrtZFJLflmGM4lfgrMgwUSLojklS\nlOl4bQfxSpaZTMeLJ7fz3LGza9c+apk0hQ8AcE3DMGnTB2YF27uNRXEvy+IJrta9KL+jnPRPKfNg\nPy/z8p8U5ZyLYa1kFlO65iaOqte+tfa7rQ062U5LRAJNPngGzd2nMbb4q+Qar6Hic48vh05Bs7OE\nggGmp6d55JFH5Aaho3vkBGOZgkLewTDqrbGw1yZTkj3ZNU3jk5/8JNFolLv3p3jnrw+hjbgJQYot\nmGr+PIJVNSWgGF1HObiSYvMGxoTBT7ePYTvuVK+eewnKBz4DYyOIn0ruf/HY/eA4ZJo62Ny+ou5+\nGqfGufDCC7nhhhsAGC3YDPk6SaDzbr2ZLZuyTKXk9KPp0HfEqtWQjxfcuOc1xkI6q4lRYXTK6cNM\nmV5uHV2JRxU1r4Nqu+GFwPjDPLkpw959KSrZNOvST7BuiWztO1t0HToavCxOuNao2HyvvNZ1Ll3x\nk2lJUvQcibrjXxub4GOdL6CIErYDRyrS6h4TFdmqFtCbfRy2C/xLZYjbkxn2XSQBd6kaoKQblI0I\nx5Zfj0BBMU28PkGlLEhNWDx45zSlooPS3IbS2IKjwH3vC/PUuZ0MN5+DXc0pKPuOyZpyRaGiB8kH\nZB6G4x/E5yzmjMNX4Bl+E/rEJQA05Z/k8XKI5IqVrBh5tvY8GdsFoUBQ5cXtbilZQHHHLlZJ0VdW\niFnS6+ANHSHSficrW57ACe2n0nQ/Uwt+iNNyN23o5LAJx3dRriRQbKlknbNevuN9+d0sjcp8ldtH\nl/Oe3deQNT0MZXtoOX4fF424nqq17W62+8Wj22k/9AABs1iXEBcyMjR4XW9GZ/QoQggSARlKsRyN\nplyVutcq4C3I50q3uZTXigI+vYBHNfFjEJyQ5YLD+fpGTe+deoTR/gR39r6bR0s5+mynVmYYN88g\nY3nxOQMIz2Fs73MsiHrQFQXhmZvX8ErIPNjPy7z8HpmJRdck2oDSUAWkl/jHVRYsQrnsKvxrYkQu\nacHRgqRa389E56fJt95Q20+tVPBPnoNaPg0AR5NAEA15GRgYoFgscu21r69eRoLaC0/neeTeDPZJ\nwBXxORQ9Z6GgY8/qRrfpsAwPxLPyby6ZQHUckkcGiR87TsueXhACoQWZbn0nQg/xk2cOcEdvir1j\n9W1olbMvRLnwcsQzW2RL313PQ1Mb+e5l9MbbGfe5uTXBcoHTTjutVlFwZMrCi8L6aolbexXA154b\noLnVQ3bawfRJUB0pJigIu+7aQgj8isrNz4xxz7gkTlnlTzE2NsbPf/5zpibcuHYlN0V60mG4V6Pf\nv5DjDafwkfuGKBTre6cvXTUL5Pdsx/7gdZL9ELBj3bVtk6bMWdifq3eBtwWG8agOmjmOoVmUNAla\nx50Sj8VKPHVtAGu0xGPVJMaphMZwp0ZAGKSy3Ux52znY8wb2dVzPeGIN6ApWTvKK7H6+QNGzh8f7\nv4XlVCibFlzdQSGiMnx2hkw0hvDIkIXV8CQNWhlHCDZd/H32L30bAgfHN4RqdpANLsOTugilymt/\nq38NKAp7aOSKQ7dCag+P2pNURp+oPZuqKhw/PlBbPi/o5ppMGXH6ivDdo7ISZNBS0arWbrn7+5hN\nsrWwlXyUM7J9qFSIeEr4DDck0CVytGgR+pwiSU+OhF/n4ckeDhQSPDCylgPjp6JOu+BumfL891iT\neA/+rLY+WZ4moLkem7M6HiNouKEc0/agKArJwCiOUNj2/Oksv/fHvHPwKf5214/xFmcptMULUXNv\nYm9qCV69iKlYGKhMT0hPwOCx+nh7NGDhT40wWWjh8LTOUZFmyJGKR6MaI2PNKtVTSlzcXc2LMV+a\nf+JPLfNgPy//7UW1MgRSW0C8fCOU3yXijv+oX9HcjnLJNdCxEOX8177kMcULzyd2VTuqVyOXuAIr\nuBjHW5+pa+QLKAJUcyUIpdYfPhqSk7KqqjQmpZU2Y9mPjcgJZ3zUoq2tjXOX+/mbGxoIeINsPXgB\n3c1vo7lRegu2H8hzSb6BBDpFRSWfaMD2zo3PKjPKgWOil4dRy1K56UvXg6OiKLBI0pqKu2+RVn7P\nEpTEEKElx5nwSavNVDW8ufoa9RMFwYVqhJaT4sOt7R6CYZVi3sHUEuRNg6IZYkCU2eW4JYpHhMyG\nfqZ0GjcNrGVpYJJ3Rh7lrt88QTHnJ5s+wZTTSd/UcsqWBGdVUfnbnidoDhf58uLH8IoyS/8/9t4z\nzLKruPf+rR1ODp3TdE93T87SSKNRHuWEkARCIEAmGduyARvbXC422Absa+yLueDwSjY2MkYYEAgh\nIRgFUByl0eQcemY6TOfu0yfnHdb9sPb06daMbF+/GD+Pnq4v3eecvXZYe+9VVf+q+lfjfuoCCuUI\nR70SsvQMzt9+Acs7tdMX1JFiikO5Ji57/YO8kp5DPwysDatchBaf8iAFkqUX9CMFdAgfFSQnGizG\nlppYmonMz3/uyoVunjzxPjpvfMds9n12/eXErmtDq44AkmzGpdr2OClnP/2pV/mTJ5/jmWU142uo\nVyEP5uTbQXPQ63ehzcmtkGYKtCqy0k6BGMHSNJv2foVVya2cOZt/PZBkMNzGkpPf55S0uPL0i8Qz\np9AKKsnxtFUzhrqC8xNLAaoe015VKyB85y4lq0Zc7o3vAhyYgw7EEo/RA8xIm/5cmUWhmip6Znw1\nfU6ehmJNKbplh77EeiZllU3jrzHjU0Zj3MrN8+wB1jTXEAlds9GFRcSXwXJM8uPqOO88+RidxSkC\npZqB6jqtaPgYsFZCqJ+SfwKfgKnJQQAu8IWQpo93tigirEAIDFs9l+FkjLKwOe567Yp1jZwz51kX\nFTRnMRIH/PMRgl+WLCj7BXnLS93oPxJJPo1RGfv3Nz6X+L1Fr1EljYmVaxFNreif/xtE07nLQq2y\ngkQLooVy5LxzbmOW55TzuI2zDWtiXrewRYsWIb2a5jPK3h9Qf4/syXDbVRfxtiX9+AtHKFZrGfMh\nTeUCjJ2yMISgW/gJSpeRkuRYutb+9IxonrKPzDyJe+obvJpWZCWFsReJJJ4AWfNohJcSrGa0AAAg\nAElEQVSPIH/2KKQSHNN2U6h7lfDiSfrPv5xdW+6gcP6liMQk0q4da7oiOFeetgOEIzpSQjrrY+/M\nCgJoFHHZPUfZ/9qKxwA4X1OL87X1w2zqKtFWfx1t9dcRDeg8svf9PHfqDn587MOz425p7uf+NU9z\nfeMgtmtS9LWwfrGKq8biavmTT/2Ig5cH+PHH4pTaGtixRZIv9fP10Q3INyS0AYx6yYE9WpJHqqr8\nLhJRYYTN++cr9n0b3kspYqJXNXCUp6dVlAF3zF3L6S4FrZeXXU74/Aa6QkMo80EqhQ0k8pNc1v1j\nstTQDieqyri6e1ZiFJZhtT5OJVRjG23MqVi1nW5krNRApDBGy8wB1rq1zHaAVLSZ5rI6TtCucPnO\nL9I7so/h09MkPCMlrFW4c9FertDCdFJDss7QJuuxwwh/Atc++w6XQ37eZu+j4rgESgalFZ+jZ903\nkEKf7Sr3bC5Ja+QRFmvqeAlhEJ7eTXdhgoG2S3mu7SJ012Ek3UzQqRC3CuxtUCyLX9z/T7S6GSqu\nxm8euRmAlogyEkpWCE1IOmJDBM0iZTuM4cx554TArtY6I2Y9eilH0xjrUAhPiTItfoGTt3BKFYxg\niE/3vM7Lmx8kdEEDjV476PO21UpEL3e20G4y37PX8jj+Hbj+18E5m2zqlyELyn5B3vJiWB5dpvWf\nJLIol6BtEdrnvor2yS/M0sf+W2J7yn4qejNo547R6VULV9OQuEixZtazX9Ldzvr167nhhhuwLeUN\nGYbAdSSVivpcKBq8tE0pSYCidY7yVE9Ht3oZ9I+czPKX+2qLUq5FIQ2a7cWXKxP0z0mSytg+QumX\naDn1x2iWl/gXm++VZOI1BdS8spOLP/BR6i65iqprQN9hQPGUj1Z8lL3ywZcd5fUPuxVSJZvmNnV+\nLz+T54R2C5oQNGMyF8jvCqsFvFcLEEDjSKGeuU3xXhue3+/8jFiOmnspwXJ9TFghFi02+dDG/0PY\nI2jBdRhYp7bLf0Z15gwIjYp77n4FH+1+gVXhBGPju1mrh7EcBzFexqxI9Odm0OeceKqlDjSLwPg1\nmAmFAmlFhbycPFZDTsoVjYpjoBFH6gVK634HdDVfw9P7KBvzm7w6YVXzrwUa6UjcgnDC2I2vzHaB\nqyuqskHdazk7Ywgyrc1Yt36cv7+tlxWNfmI+jSs3LqWhmsPvVGn2OPhXDr/I8I8P8Oe7HuDi6UP8\nz97tNPoLXF83xQg1A26d3wQJvqCCuWdSZxu1js9lX87B1VyW7smzZtcUVqyHz/XfzJ173ksIDTc8\nQHP9Aa5u38UqEWRGWtw48ATJQAPH1vw6w1FVgfLAeAMBR83ZK80b2N6k+AIaRIGiY+IvdmFLQcoK\nMj75EQ6ffh9Vx8fi+EmCRoF0qZHmmf2z56YFfTjV81m2R+3zCAepUmXy2PHZbUqigPmzZ5m6r49E\nKokWMhECdCHxRS/CvrGedxU+TUNukHdutbmhfA0XuRcT0tXzNlekeRJpDgL/OYTx/68sKPsFeWuL\nW1ucjOr0f2oXspiHYBgRjSHWXfAfGuNUFZznD7154wvNtrEDflzTxPLVlH19NMA111xDJBKhVHTR\nhYXf75KYsudyhlCyI2w9fg8AaXt+20zXlUiPBaXBI0+ZsQUjVcj7A2QWtVOOKyi0+cQphG3j6mEy\nnjfiEzZZu7ZY+fPKg6GpDeZ0ocvX1xRi93KlWI5aK3nm6r+nMjxKumTzzu8ep4pGQIBmlOmOnGZH\n/iDPuWlOTxcIBDW6etWxipNnzlkZAI6n0acLrSyOqZjyrbEZBgrNTBVqHdnS5SZMbZx0ZH6eQa6q\n5r9afzkg6C/4GXfaMTQbo+LBxLY9izBnKqPeuCgHc6r8qyeQ5vsra/XqVuwAd2j3sWVFO6v0MCeH\nkgwt0lh8tIoAgnPiwNKnjmGJbozp6/Gd/ih6ZiNvlErJxpYGh6bXUW398fwfPWU6V6QHm5fsMD4M\ntMIyRGiQlLRwooc4vMVCugbCqkOE4FuRZj7f824mQ9383fZx+mYqaIUEp1JZBJI16QF0XIqGiiuv\nPakaGF09sZsGs0zW9uELzCcRcqt+qq4fn1kA1yQxs0nNYeJShNeQRup5jl5QM1TqJhyssRIvTNaR\nsoMYc1oRS71AWOgIu0x3YZwdjUsp2wmkL+TdphwSwbNtm9jfuJIvr/sgoqEd3RRYlmCDiHLz7vfy\nxNg1LIoNsigiGcv20Bk7TtAskCvHaEoemT2eFjBJNa5nyakVxKcddpo7uM/8a7pitVI+A4E1royu\nUGEaLaz+d3K3ollrOZy5mbotTYQvaEA/UaDt6eOzFMPpqjKMRekSEukrahPnW4DxF2RBfuGiWzNz\n/v9PevbFAgTP7nH9b4lrKWVvBKJvuo1u2biGge3zo9sOru7Fmt2awirmqty19ht0l77N69vUPi/f\nnKQ1opKnJgud7Nc/za6hiwBYu1HtY3zEAikI6g5xT9knLADBk+FWCs1NGNXTs8fx59OYhQhhVy2+\ni+J+kqKL1KLfwNEjGB5cLQJB9K8/hrjyRgDydRqXdiq+jJKr5nompZaV0xnYeuJhYn41741+k3g8\nzMduv5ILFjVhIdl9VF3TeZuCROMagao61wsuCPF3b+9l+VU+QDKc7cFFJfvVF1dwhdvN8cQGhKi5\n0YXSi+QqClHR/JOA5FBqC6fbfgenW9VGj+ar/MG2kjf/6rxkLj2r7PdNfIdW4eOn46p3/JrIJH+6\n5mF6jRgf79rFP6x5kiWNt2IvCxELKANlWLcQrmTDSwoiXrqnBhUXPeRDWPUIdIzs+Vx6Ve2ZuPTq\nMF1dNlYhR9goM173Ek6D8sq1/HJEWUH+79Y7eHngPTgDiuhI+hLows/MLo1MuYlYtR3MDDsCB0l6\nJWp2vheBxpRepYIg6BSZypY4Mq3OzxImB0dUaOuPDz4AwHMbPoGjmUSKE7zWtI7JYAPbUou5aff7\nOOrZzc2mJITGIduejdtTbSRa7WT65XtpHn8f06fvVl93qWS69lMWYnQZn178x3zp5EWz1z+dmAP9\nGzkCaLSV1HOU85mkCgcpe7kuF8wcJ2uGuW/Ve2aHpN7+u+h+DbsKd7ufxXY1Em4GN/g8Yfe7tFqH\nifjL6JpDg6GuVYt6RqwGhlNk+Lz3EknXvO11r/0Q6WrgBLh6bte/koUWVM+nX8QRaJSdXp7oey+R\nS1S5aGW8xpKXq7Zz6esf5Otjy5hH7ayfm4vgv1oWlP2CvKXFsJQ3LxEE8gfQKxPMw3//I1IqIIJv\nwgz2JiJtrxRMO/eL7csXMMtlJOCaJnq1ilkaBCA29QjCiy36yoNE/Fm0Qk0xN4fHeNuKh+iIqu1P\nHKglT0WiHjPca0WEkKyuy1N1dSqOIGErj+PBvdPkKw7RxHdmx8XHX8CfX8KW4FIMIWmLhsjaJlaw\nF8fXilGdX5Eg3n8vI3/w69g+QX2gB03oFLxtAkF1DkeaRzD0J7iy93GuT29Hs6OzNeQrOpowEWxN\n5vjJsST96QqOU7svizp8LI77CVemkVToT/Yykj3DZ6ATFjoHkiuZlBY3XTvD+u5djKYr9JWm2Ook\nseP76K0/xtB0D75gG7aljmshmahEsKWGXk1glgZoviqPM4eRbUZaTHtMcP+zZweT0gFMfqXjMOsY\nZdPYa9zl9Y4fdcocb3OJJN1Z+H7Znio3fFsZbNL0WiBb9cTqNM6/OERji8Gy1X66l/poaDaIGlOU\nrDBVx8Qya/fSnLwN/+An6E5fTdmq53RmORWPphbhIst1YEHBitEjlDG6uGE3UljkKvXMjCilOFVW\nWno4sJhDkyoPQkiHghHFWT2fwVSvW8VwnfLK/2rdB/mXZbexO6MQlCNlFSq6J5znSi2GA+TKqhyx\nXK1niQhyaWYYQwjyWq0UUiv20DJwLQ8uvZGiEZx3vFK5lvwojTxBNNpLygirGiCEiRNfyViwCUdo\nuJrOhtQJGoSKUf3GaYHfcLEtSe65SSKGRcF7jEqPHiDYUguhNTMIQGRjL+GLGhGmxFfJUdSiRFM1\no3GqsYzQXMzpG7BeUMaoqyklr4UN3PL62W0Dms1kNokWMtDPa8d1HI6l1DvfZEhAsDWtIWSNe2Nk\n5Gyk5pchC8p+Qd7Sole9pixhVSbUOPw3NJz+2v+bwi/kIfT/5tkLp4TtChDnJqkMeeQ3rs/EMQ10\nq0J84qezTUbMsqrtFVUvSauoPIwtK1+hMbsVTbhcv1R5cJlyrf47HK290vWhCotCKh45Wgzwvgvb\nuLQrwkTe4rM/Pw3Cxg6r3ut6pdZW9uZ6WBmUZCoePaqvBaM6UQuJuBahwi6GDBXbDBhxwmYzOU/Z\nF4tqnBVSaEDMP0EsqDzUklfXLF2IeCx239g9xe8/Och0uZYI6AtouK7L448/TrmapmTPb1YDEJR+\nQtLktNbB/+xrwsFggGbGZZWs42NZw2Gqtsn0pD1bY28jcdBI2yHC6RepDv9/PKHPYM9ZCW0kMnKY\n6zurrAwnmXThGf0pcjsTTN3fx9T9fbxip/m5leSJsoKozeocTnagItR86oFRhNSQTpl1myy6enxo\nmmD1hiAbNoXQsAlrCSQaiWIrco6SFG4QzY7T4NYxUVHPn1/6wFUKzM3XqjsCYeVZ9jYeJOJPczq9\nmoLXna7sGTpFI8LeUyoc0e4lozUsncMnsPJXKArBSy3nkZujlLNlpahOevkc09kls1UV6bJ3DlYQ\nQwiKcWWM3NmuuhaamQiNB99HJr6GPv3sZNbR3FJs13tHjDw+xKyyL5g+eiIW72ot8nLrRn7apWie\nbx9+kYfrh717BTGtSl1O5RtE9Ap5x6B4KI0emf/uneE+MBuXE1m/BWu8gFHNkyiGaRyrKfuJnjMk\nRCbGkUEADmz6BOFblhM5bwM+u6bsw3qe/qmDnMht4IR1MVgVTFsZCPe2qHlfE5SEdTg8tpxn+yL/\nbZS5C8p+Qd7SolvTOHqMXOtdSK9XuWFNI9zKvzNSiZyegFwGOrpAukQnH1HowL8jQa1IwfKfs3+1\n49ocKm2jortk29txdR0hNYziO9HKtwIQSqn4tOFmyJbreKJPxea7gztm92MY8w2W+kad0JwSpohh\nkdUtfJrLcDnItcvqCZrq96FMRdk74uyF5/PtNh83UxSqLhXbxfa1IaRN08D/AimJzDyBOfUY43mV\n7GRoAUJ6K1lvkU5lSqRFHjc4jGWHEEISb1Ke8NU3KwWUTufPOu6eSo3U5fnnn+H+++8naTRwnDc3\nzCJC56uvjlPRA6S9znamW+WxqRU8mm5ACDh2sMSj31PIyBnSk4mK8r6esGYYekOTE4Dept2sMbaz\nzykyJmY4pB3kO6srlIMCCexx8hxzi5QNlVmt25C//iqMZrXfUqAF7BCOL0mP7iOZfILvfOc78w8i\nJc39XyAqVbLdQHIVaHMytZ0gDg52tYGJSoSrSyOE0HDO0LSWa8o+1jy/ZWqhGsdoqtDvljhi18JC\n434/PreCqavnctdhNbdjwSa+2r6Bh5wp9sWb+fuVd82OSXiZnhnbRAOCmo7pse4NJJXiixXXUZEu\nKU/ZLwpP8Ojh3+bbgx+nvjJEOtQz20Z2ruzPt7Gn79cwkpcjjRxRodNWmiFnhrF0gz6tjo9NVPlh\n77WzY5ZnRwiYBl9e/hxfWfEM9VoFs6ze5wgVMtOSzNZRtDnK/tv7foeDQypXQsSPYIUuQNxwBxdv\n3sf7N95P62mXNa+W8RdcxnvUOhEs1sh5WjvSxDb4EKF6SokpRg+p2H/M72Pz5Vv44JGNHDAUAlJJ\nKUM+osN5dQZJzcQnyxwbC/P8ySiBwAKMvyAL8gsXo5rA8TUhNT/lyLrZ7zUn+2+MqonsV96rWHUe\nup0imNtF/ejX/+2afemyojFDyQ2e8+eTyZ/zivMU92tf4UDiEbYXf4r0FJrmRMAN4isP4BSSBLUM\nfUm1SF3S9Qw+r6a4GLsU+YbX95KrIwhNsGKtSrILCElW6MQaTcZdpWTtOZniv3HkFqqupmp/zyE6\nkpmiYrZztSCarKI5OQqpbfTNySsQQjBZPECukGFkJAVaDt/aPwS9RHjiTjUlfuXlR+PKmy8VrbOK\n2o57tfSWneXo0aO4rsuh6AZ2aQJNr813StaSLovSYTRbJYjGtAet69LGljoPTawmEBRk58RjZ7xs\n8qRHlDPXjKjT5+dXlOM7eMmu0Q9bpmSix2B45dnVFbZPYxsfpWSq2Gwp0Ixwg7iaTQCN8EWHCS+p\nkdRIKTk19k0ELqaZwTWTHEtcCFrNCN3S9RzSyFIsN2CbSZr8MXQh0DyDwLXnJHrpOT7sq3UwtJ12\n3ntRBzutESpzrjJjNxOUBYRXofGqLCCBg3WqQsABPrD6NCMttZK0ueICmlNBdyoYCNLlVmYO/iWZ\n9Pl825niqCzyvJOmzlekZMVwpYG9JE5Vvnkzs2QxjrDqkVqZld0+NpYzFLzy02eddr649CWe2fQ9\nBBJNOkTtIiVd48qGYS6vHyUeKOFW1D0OjKU4Jtv4eftmnGQVabkMfCuFKBSpeLS6IqAj6gcRHa00\nNmcIGCU012XNjgpdxy1KMbVdY1Yla/qXRrhgpardFzLMT05G+Kl5E1K6XNSUZXkuDkieDyj0JTN1\nFEe6PJuy8fsEGdvlS6+/yt6pSUKmSVvb/E6TvyxZUPYL8pYU3Zqh5eQfYlaGsU3lAeWbbmOqojwg\nYc/np7aqkonRs2vQOdP4pqEJ4SgFp7llYpM/OGtT4XmIvpRKsLK1cy9wmUL/7P9HEo9zuPQCJ8UJ\nplEKUS+rOKqR2sOKpkOkq20EQ4LODauoBpeo36xJds1JOFy3pohhKPWZcZXybvTZFIVOU32BbMal\nUnHxGTUVeyjfwqF8M074EQBcvcZCB/DhZpdE0ULqQXItSmmnkyd4yJriRVvBpsvjl6nyQCGRviSv\nZH4Ht/1ns/vQ05vA1XH9kzS11jytYrHKBSKAKSXXa7WKhX3Fw4wln5z9rHllSuaiHJOywHfsKbY6\nKbJWAl/AISR03q83c4/RQszfg5AOZY+JECFm4fu159ex1UnOFj0VHBMpJcU55XX36DG6RYjE8N2M\npVeTF57inWMRlGMhEh1nl+SVQ2pes4sUfJ+NdCG9crmjbhECFSK9NUSobGeYzKhGRi/7DlJe+Xkk\nDlKvGVFNgSQd4THG891kBj9AxGMoFOJMKKSVKjblpV/muSPfIyoM9Jx6vu+KCxbXBVhmZvjL5c/y\n0uYH2dKgegbEGiYZnVMT/8xFf8T2Ze+a/TyTvJCkCPOOwAEavXK8OmrXvOHIN7jp+V/nAg9+D+Fj\nwHv2x2WVUVklbtSMlj5XKcFzFzJCnW4QRBla+w4/SagwRsbvQzdbcITBjU0D+DWHzycf4rsv/TEA\nz07WnlVdk4TOr8e/KkZHS5WiEeTvV95FIeVSPJLmWONtVAKNmDNq/rWgga+6nXhrLZnOaFIGctuc\n9stNSYW4hDbW4u1OTiNVr+5xuVSl3m+zri7PZRHJeKAOR+hMjR7jR/1DvLjvedr7nuZrrQXq/H56\nstO0z4yTTS/U2S/IgvzCxFeo1cq6hvKApB7k56fUYqiVakkyjiPZtz3NzpcLFAtv8NizaTBMQuVd\n8xR8IL9/nnevVxM093+RlpN/SF1S8auPmZed89yqVuas735qPMa/mv+CY1QQbguiuoLm8rPYrk4i\n30g4qlOJrEPz+rX7Sv287mQp934Vq+nnHDT/jCPTj1OyXL5yZJSDWpL1dQWywmC5eBgpITlt8+G1\nJmsiNW+137gEhE2xYQep7hUATLtqWVjilxw+VaJccnEMVY70FzvnGwRrA0vIpOaHApz4blxXY9Er\nPQh0tPIi3PBxLvU61rmuS6Uk6RRwa2mQRlHzlAP5w7iypijOMMztzhbZ6mQp4VLGZd1VDaw9TymI\nkFdtENVD+LT5S5rPC2usO7+OcVlFEzaXdT/GjnyU71fSSK1KeNDP+8xWNCG43dfAdDXCTPL82k7m\nQBCHLoWRFQHqphzEnITCckQgcZnsvozX7/gAp6/6BmhnG487T6uYedGamaWnmZZq8S+t/DwIyfLK\nUvz9v8NLg7fSYJ4xOHzo1COli7DUvQg7cTJ6BjcwjNuglHL3dBPTL53H6cFOXnstx+ZYgbGR2+mb\nPp//vfwVLo2PoAkHS2ps8CuF/1i4kf1zNPGLuXqKro+mYBkNl4hj486hL+6YVHz6t0wf4m69iUZh\nkvag/rxToYzLUzNL+L3u1/EJmx8k/Yy5lXnV5Z/q3g7A0kCWxnCR2xvaaal0Uc2NErTyTAeWsrjh\nZi7SIhQ9MqLN/mF8rs1ApJE88wmyUj8axtceZHF7TZEm/THFA+A1ZSoEOhE+Dc1rnhQQag3IvzZN\nw7u7qXtHFyuvriUMtp2cBAG+juDsq/7z/lq552S2dkXXxVxszaBY30JrKcPesdN85Og2PlCepito\ncv3iHm4d2s/NQ/swiguNcBZkQX6BUnsRXV15FrZtc3IkR6qoE8ztBeDg7iJP/DBDelolRlULBYST\nn+2iRiYN8Xqiyacx3lC6d8bTBzBL/fN+2zsSJFTXcc4zq9hZ2uW5f7M0xYKmVzchnSBbj99DoRJm\nXehHWH2/j16ZxJkDN7vhAay2xyk5eYYyrzCSrVBxJEujJYSACcOY5QqX6X6a3QEeWPsT7rtcKfxh\nuZTp3s+RXvxRKpEeKi4cF0HK0QgRN0xkxGDP9iKO0YCUkvN7Hp53vjGnSL44v7YdzeL10+9h47Eh\nos4MWn41bmiY7x/+AKenDnH//ffjM5oIR1zK1UnCns+nAX5Zi59fcvmFBA21MG5PCFwEq/KHCRuw\nvC1Ox2KTPubcAwSb6+f7j76lcOUNYf76ZcWzfmPrHnrqD9PQvpVpoWKy7T06Q7kuhstqXifKcUrF\n+a1l50o1KEEK3nFfFlxJaLoNqYE006RKrYx2vjSPGnau/N3Ok5Rtl6dOvsyArPCaPcfwM9X/M6kL\n0IvLmSm1kSrV4vLCDSKEhm/0HkS1CVFpodlpRCstxgmVsF2I+CS600TMbCJx2iFqtFK0orw2rEol\nN8XHGc8pdKjFIxwaZ75RckiqOf1Rbi1JX5yl1ihYeX5rfC9/tvfvZ7dbd+xB3rHtk6ycfJxSSXnN\n055G+bNTV/C1oYupSuX9P+GmkMBlhsP31z3CooC6r6PVIDNOhWYMLs+9g0snFPqQDSmjvFn4ZuvW\nra44vt4w4WaTa3PqfbPTVazJEpXBPLnnJ6n3EuoAdjWuZqbs53SdUuD5UAda+A1EN44kvz2BHjMJ\nrowREjoX6lFaJtrQzQjhTY0czV3M8BNlnnjyKkaNVbNjh/M1pKpeh7Am0bpW0NO9nC3DhzCkS8RR\nc2s6tTkONr15Oe5/pSwo+wV5a8ocr7tkGxQKBRKJBJbtcmzKj+GoLPfBk8oTKHuwpm/oYZoH/pzY\npFJqMps6izUu2/xOADSPBzsy/Tix6UfnbZOraMTjNXg6m3Y4eqCElJKSkyOutxD1nR27mxSDs///\n8PDHSBS9LPTYXn5kTXPILVCObsT2PF4x5xU2tACjWXU9Vy8KYUm4oj2N31AKVKSPzeYqdHZvpiVs\ncnCyyEcen+CzPx9iomDzoX6Do4E4js9Hf1ItStWqizQijLkWotyKcaZNKRBwc+SK85EKY/p6spVu\n8tEca8cfoTFay6R/YedP6ai/HV0L0rO0HsvJognBdVodV6V3z25nC4NB/wPcct4/zX63pHiSRZVR\nHnzXMkKmjqYJLryoBkeH0Fg2x30UwF+9PsZQ3wNsPaZqt1dH55cQXqHHeWbw3Xzi2E18+OBtJIqt\npG0fPieC5tT2XTcxhzK42kh0vAfbL0ATOK7y9sorP0/SmMQ1z+aRPyO3rvpH/tcLLzBT7EMCu7xO\nc45Vg4qLmVpuyWSh6427QM+vIdj3eYRUiisw/FFuMxopS5fGuEFjU62TYjpdU04VojTrBaredcWk\ncVZ/+7mStMNcN7WT3qkByrqfLQNbWZsZqJ2HtPBbOSqhQSYD9dTPaWt8LpphgHrZzOsn3sOFsQki\nepWya3K6HGNq+89ID/ezPqm87URYGTlC2vi9PAZ/Z4jG9/Rw3nsaCfscpJRM/9MJEv/Sj92ojOf1\ne3azIqPg+W8uu50fn17CqagybvLhDjJZ+EzfNfzzyAY17zkLefXtjB5bw3BatWq+zIhzd7dB58cX\nU9p8IduHr+eFpk+RC9W8eoC6rgCvWnUkKwaLwzovrLZZdcWNtF3zDtblE4jN19N4o+IbCLg19Coz\nseDZL8iC/MJEzOFzf2zrszzwwAP84AcKhk+XdHRZxa0WzxpXtJSCC3iZ5mRSiDmMWgCOqRZm3UqC\ndAhmd+FqIUYafovR+AcBmCkY+P01buwXn85x8miFcsmhLAsENZNbpcvlepxL9JpRMMg4jv91slWd\nrKU8hxuW/pAUSomnEJSjG3nBVgqlNVxbzMtWmrFcFU3A8ojE0AqsyH0XQ7PRha24uounFAe/MGgJ\nGxydLjFTtDk8VeK3tw5wqiLY0BGhbPgo2spLdpBMFY6yzWwmePKP8E3cCXaIHrMZ3UoyU1RelqjW\nY528nB2nzwN7Gimg4djLrInW7oW/5zCGoeD85asj1NfXk8huJ5LbhWFNIwEHje31FyOF8oaualSo\nS2N1ms2bN2MYHrueK7FceNXJYvoFPXqAnZkABoIGjNlQ+5+cunr2+MHInBI+qXGeFpntBVB0TT53\n6F2UpE5YCFyt9nyc93Nl8IVyOsHjf8KFLx9k250KMRKFGiNepfc+AKLuG3gZ5jj669u/SWvU401w\nTaRrkhr6JKKqnith/fsMa63dVcotiuUOq4FuLcj+8SsZK26koe3cyXWpahdd8TmsiGiE3jSSrqTT\nzBJwKlR1E91SIaT+xbdgC43pSAffueAd/FHwPWhI/mDpuRNS/Vrt4psxyTrNGO3SM6EAACAASURB\nVAKevPAhInoFW+rsmJym8cXvArC7YwWL69V9avIX0DyUJB6sWXJa0ECWHHAhsuliErffhb6yCVM6\n/On+r89ud+fA81yUUmhBKdCALl22pRbjHFPI1okjXexxL0b78cOM9c1/zwH6EqrawDIj5CPzDa9q\nroRWdclUTZrF/PCff9ESOi+qGcV+WVO1ydx/LDn4Fy0Lyn5B3pKieRC7KwXoN9Mcq9FVpktqgStn\nz37pCnM55qWEbBoRUUq7El5DatG9SC8BrG78QcLJ5xDSItd8O888H+Op59r5223N7BmpLXxzyWJy\n6SSOcIg6KZo1HxcYUUTTrbO/57E5VeriewPKU7l9xWN0xk/ympNFlBYxMvIxStSppC+gxeMPACjZ\naSZzFZpCBqH8CRA1SNxnVDlSlTyf24nmlnjppZdInlbQdrOX+Vx1JL31frriftK2D+k1ZKmUXJ4f\n/BKJYq3RSiHzP7g8fglYOWbc1xHVBgJ9X8DX2c9YMI9fK2FUpCIz+tGP5s1xae3vYfQ8gRCCyy7Y\nSK7UR77cj6tp9IVW8ULj9cTm5BVc1Pkyz258kPWxGXp7e6lWq0zmq7zvB318d/8kR2SRCzdmVDMd\nbOLomG/iWfqKcyoPhMv7Dr5z3u8HpEJrGnQbBETLHbz9H7MMLbqL1a9VKYZtAtYgQ6t9ZJrVc+Sr\nrsc3eve8/dThJzhnefWd/jWQZ59T6MhXmTj2GWTBwD35KQInPzMPrXkzybIft+VlOjq2AspIPTZ5\nBcPTF1O0x885ZuvB27jvZM0w8aPRNqfK4YGL9p81ptVfJeR1divp6j14rmMzf3HRJ7l30+/ySEzl\npXRW8pznr5331VqcNXXquWoyc9y/4gU+3aIIdwB+duJdGNLHdXEVe//isg9z4nylWC+88kqWNqiq\nhrh27rkIX9CAFjKI39TO0PJ3sWfgQnZ2K3ZBn2vza30/xkTww+5rsTwKYKmZaEaAuwd+RufoGNPf\nOMGr/g8zwSKqZoTKYJFHDn903nESxXNkznuoYWXb82zUpqi6ENLmK/vAkjWcKNfoPHxzfg85Z5ed\n/jJkQdkvyFtShKcMXxi4DcPoJOJlsa9du3ZW2ZeyhbPGHZi4lFeGbuSFgVsx88cgn0ULq0Ur33gj\nVrAHV6t5beGU6i42kFiM4zmw6XIrt91+x+w2mWRNwWwb+iYAdV6dcqbl3SRmap59Sbo8f+Ji75Ok\nJZgn16Q++8bfTSnRxvBwDQbsrb+KoLaKRW4DEpdEMctifx7h1iNFmVzT20k03EhBS4MTYsStUKy7\nkqGhISLeorO0MUDMr+bkK+v2YBz8GtMFg7h/huXxSZwKYEcRc6hDS4UIPrOZQ2PrsQIn0fOrEWi4\n+WUUrDihSIrXrngvz175NwQHptj0dBEcA1wdhEs2ojLuew7voLGkrifkc7hhaQpduLRFBmePNSZ2\n0K/nuGFVmu8//F0eeughdozkqTiSZFniEw5LzG1qPqVDXBgExNlLW8CusDs5M++702U197/ZuXve\n9w1ej3RzcBmBosRnJ2gdcEETBLVnyDSr/Tcd20IAl/rcJbXBrsGwlqKuxo+DVl6MeEMegGErJbTU\nbaVbj5F3Amjlmlc+5VbJy3OXRWZsZXj1GOr34cyS2d+cSg1RMo1aiKUiXXbla0boATfPMcfFL2y+\nsHQba7R9845xb/sRLju/RDSqFFXBCDIQbueJQJi9oRpCclHiMJ889C/snanjwpDL3Q0Oa00f6zVl\nJMSMKhvrh7i9W92jJfVHaI2OgFbhjkgtUfYzdYrSuH3xbsYrCskKeqWmFfvs1swAo4ENvD6tFPKE\nuwLRs4HYh1bDmnv5kNHK0a4bKAUaMDyugSe6b+A9oy+yLnmCQqqmgAuhNoLlBOlyEz84eC/P999G\ntapjyIF5xzOsLHf7ngXpUgo2Uz70KuG+F0g89b152/Ut3sT7T5n87WunKA31EauPUjWD/KD7Oian\nk/x3yIKyX5C3pGh2HilhILV69ruPf/zjbN68eVbZy4nd5xx7LLGRU8l1aBMnQEpC9AHgGApmdY0o\ntlkjMUnbnezeUfPafEYdDQ1q29P9FXa+XDMq/KfvBVcn5kGTP3u5i+HDNe8hW6ophI7YJDOuRaph\nA8KqQyuqmGJqWi1cQaOBXCXEA3vexUNDVwOwoeMv+GxrGiGDZNvPZ9jXyvfG/xmpFxB2hJjQyTbc\nTDqdpqM8QmtlnDtX1fHXb+vh727txUyN8OiRj9B/dIq71n2Dq5Z9CxD4R+6B9NWz5+ZU4GiiiZ3T\n60Avo5UWAxYHRm/GkQaLYicgfzNVfx3p2FJ6jloIuw5hvwEqHT/Ne0++zq3+IT57/RS/0bWPzbEx\nrm89SAQdx1H36nk7zU9CQzRfuZ9saZLhZG1OY0YFUU3Q75bJ4dAgNLZocQJzCI2+uO/rXDm1jylT\nYni0wWey2gHWdCmEpFP4uFVvoLNVKUmfV7+diq9nz6qvYJYlduwgA2t9hKfbKVp3kbcN6v0Wgb7P\nYY68HzRlKAROlrn0JwWihaUEpUkgX0NhAMy+z8/7XBQWVbeWBHqMDHuF8tIr1nwjxQmMsqT4h8T8\nyqLom6l1nAvYJlWPrvlMXB8gSS2cskoE2eOhGDdHitzUpJTafaue4koR450+H9fGkjQ1FllxjTIQ\nPnPhb7O9+0beKJ859CC9uWFGi37+odfhf7S71PkslgfVOZzBtQzNZkPbq1yz5CdsbFflqV2RCeLG\nHFIjv8ZwrotEoYM+t4TfUM/6S4MK/UoWawmL1mSJnaXb55yJhnPVh/h59t7Zb1b4W6j66+gafQGA\n8a6bGAgvxqiW+eqaD8xuV2hZyvpfjbMkfopctY7+1BoGj3YwOVFHwaOuDhf7WZr+B+qWrCJi2BRC\nrWR3PIvc8Tjl4RPz5mTIK6I4qUUpHNmFEQgy0nUeD/XexMoN6/nvkAVlvyBvSRF2joMT82OXo0M2\nM5Mm4dC1jGR6ZzOU30zyf/XPAOhRE8vfWWtVK3SS3Z+iFFWQ6InU/EW8KXYpxbwP15Hs31miWpX4\njRL+iIod9uZvIK5V2ZX7FbI5E81qIHTo7/AN/gbFGVXy5TNcTnb+b74j93A6tR9RaZ2Fd4czamG5\ntvdzpD2K2ZJVy/AdMZTXV6pv5vjME4DKFBdWPZaU5LJpXNdl+ZIe1uUPEqqkaDbzzOzo4/FjHwJg\nY/vLs/s7v+1V9PxagolaKaGswn27YrgRj3So0owrc4zICstNWBSqdUibblpPNtxJcPgGtFLP7Pd9\nMz+H0dPQ2MK6K2sJane3H8HV8zQIg+xkLScBQDMcAq1JJmdqJYB+zWbrSBvPuar87N2LSlzaNsk9\nS35CU2iELZN7WJ8+xdr0KUxfCbNk8gHrI+S9RMNfbXJYl9T5gNnMTVo9W2JV9vUrxCZQUgt9xV+P\n7YsTT/qYXAJSFzjZ22YZEjvDJbRqG2JO7LZx3KZjzd1opz9Od7yfdaIRztS32yHEG0iXEtU0yXTN\nu/7S2ke5xVRlbn5TUSLbMk+1+afo+TXkhiMEDKWwpwvtxP3KIIgJQUvhDIHPGYNHUvBQgrv0Jto9\nutsvr3iO31/+k9lj9obSLNOCNLoNlG11ft0+ZfjkzDAPt8x/1q8d34nmqfOyo/PctDKCo4bDJfEE\npnD4WLOBqKra9M7Y4LzxurDwlWulloevfj8/O/luQmaRi9u3c/PyHwKQrjTwo8O/yo+PfZBH+j7B\n9NRmEv86gBQCXVjc2T0KSE5kw8zk1LNkSZu4R1e9qsNH2bXo0QIMrFZQ/ammOUo3HiRgD3L5ul28\n7V1x3vbuGN9KtPNApI4fuEnq0idxTJfoFpX8GPc5ZKK9s4yBpfbe2V0dPJ3A8eZdui6WR+Xb2NDA\np9sciqV/O0/iv0oWlP2CvGVEs9IEM6+BlGhOjtGMavt6xivav7PEwd1lwv5unj5Z65x1+5p/5cZl\nD3Pz8u/P25/jdacyGn0U667gjSK9kr7x7HyqUiE0dr5U5tihMrr3XpuaS6VD7X+ZtRJNczg1OJ9v\n38ivR89tQOpFYq0V0Gy0Yi/7Tz9BWFPXIrWi8o6dIBHRQMVrclKya7kG2/VXcXGRuo7r8dlLM4Vm\nxylIl0JaZaQvX74cXdd59NFHGTq8m5FULQFpIF1DRC5c9BK8gWUv4GhcFh+huughANLFGR4vT5HB\nIeSECAx+fHbb/p4befnSL0H5MnwjH0DLqwVy78SDTAVTsHYjpW/u5ZmjDYxXwlwcHyfnwfE9/lp5\nU4NXmR7sSDBe1FgemiFmlMk7Af7Ry64G2FI/Q2P9MUrR/dzU811+/cRjALSVZgiZeQqVMH/U38au\ndDcrA0V+q9VFujp+qSOEwNQkTV7tezSbpGqGsT2u+GC6FnIRVYXCxE2L1pUxhO7OzkdPrpPGG/6U\nHdG3YTkmi2IDtEWGEV7W/RmE41eX12BsvTyM6VH+vupkCJlF1rTUkvWkdLCsHL7pt+ObvIOAUaI+\nmJi9N4uiezG1ChGzjBY0CRp5LEcp9c7YKZa2vgIoyuCktNGFyyXxUXxmzeNPWkEcT3kfnrqQohUm\nVK6ywlWldfVakY937uTezj38VehRPnFcVa24XtikUlXGTh1ZmvzTPH/Rd7gkHECvXsgnj11PWJuf\niR4IWazO1po8HfIvBSTvWP1N7uysUUNX7CCpcjOuNEjnwrxUuZzSR+6k4oTotl7ltKP4JE/laiG2\ngFVDfxrWrcPWlAKuBpuQQPMcfgda1f2Qwkck9zKDg4M8F1HvgCM0IsUxyoEWXC8IH/M5FMNtvHbR\nn1AItlC/6WoA0mWLNe117JxQoZTX4138Y+OlACxpruf2WImGxW/e9vq/UhaU/YK8ZSSS2Ep0+nHM\n8iC6WyRv1eG4FaYy295khOSOzc/RGJ6hK97Pojd4HZahFg497sMx688a7epKwabyZ/8GMDFi4Xg6\n0pWCojmJEA45S712+apaYPQ5/To0O45wQpTLKbCjBPp/H9/Y+4hoSrG4gQn0wgpCR79MZvcYN0wN\nEReC650lGDNXzu7n5FK17zPNaaSZBmkg7TjZvFIwTU1NbNqkepA/tX1+suJwZhmvDV/LjsIipISw\nOT+pqEPz44Rq8cyX7KUkPEUVwECrqDKl3o5dSFHzYIU00RM1nvPtbw/BK8/gpKsED0+QsgK4UlLG\nJSA03t9eg7XXamo/wrCZsqNc3pDg2+seJ2P7yDpqTn+83EIjSR51vtJnEfBq91dt2ULAzDOkdbK7\npDFaiXKzO8Ro0TebELmpMYMuIBhQ19Ixth+fVUA4JYJ6ibR8L6Gsy9LjJjgKTbmlcxojoGF1KO77\neKWe9pYv8NLhRcxMqQegLpggHkgiqupZ8Wk2V7YPYGoSy2uXF6gMY+oxLLfKEVmi6JjsGL1u9vp1\nXWPJHDDAb5TQhMQnVJipOTRE0MghhEs+2EZbZHiWUjkXPcID4+swhMPTboqSkaPLn8V8Q2JZVyDL\nGZLFZKmN3WNXIio2X0g+zGsXf4vPLt3Oryw6wocXHeSK9Vlaf28VsnMRmpRc1ZKgaCkFOuqrII1B\n9mY7+Mqon/eeNNiRWcSJKfVcHJy4iCPTaxEafLr+JT5QtxOAnSU/fiNP0CzNO6+KPR8FSU35eH7g\nDiQapVCYPxvV0cV8g3T1SI2JsaK5eGSKCNMg+Kufp1P4yUsHIW1knbqX/lIfzsSz/P5r81nujEoa\nx45STK1HSknUrNXNv7LxU5SCavzOV4/zQtEkRS1v4qdtm9mWkUyHW5hJzSel+mXKgrJfkLec+LO7\nEUhKdgPxOpN7fuVO/AFBIChYe34A3eNpN3WbRmcPmlvG0SMkuj89bz+2ESR8SRP5ltux/WeXM1XC\naynUX41tn7vkqJCvLaRFKwiun4BZYqpY52Xpelzd50gcz6fj6HkFfWqlLmRWoQBuuMYMuG0oxoOn\nOrhLb6FZ+DCnb5r9bcbzxLLFKbRsjEualeHi7/8kpyaPYdblCIUDlFteomdtnJC/VkNsenXNRxPr\nOeWeZmvf+ylYZ3sjUtQWxOKchbbDg4hv6ZxmaSyLXbdj3jizWEMNqiGNMxZRKF8ibQc4w7UWQJvN\n3gY4Lr04tOEiETQuvpqHKz2zv9cHJwgHD2ONFymImnEyudjLCl+zl6CRmy2vBLju0LNMFmsL85po\nCulaEMmBC/6Sy4neOwjWJak4ARy5ksiRPyRjfQ6/5uLTXKKmw7B9nGpcXed1/vexf+d8ZSWrE0R8\nWbSyQmgivizfylc4XBIMRzM8ak8RcEuYRoyKlzj55PSSeftwXUH01Ktc0f0kG9tfJmDksRyTkBZj\nQ/N3aY8XCPmKJIptVJ0gupc78I5V3+T/DG0GYFVYoVwFUaQ3mOaN4tNc/KJmYBWrEcrZAsfGo/zV\nwMVUvYqCB3ctZ/vwdWg+nfiSKCBZFkpxJkJ/W5MErcTudCNHp49zhe9Vrqwc5sLewwDsGruKyoEM\ndlVQXryMj608go5L0jYwA9PzzilXirBx/Fu05A9yPLyDn9ozjM1pZLW2uYmvddvcsCRLT6SIayQp\nd99HjzE4u8328eJssqMl4YOnQ8SFzoy00HSbquOnMlxg7/il/MvgfBRPR/I3rWt5xEmQzLTy+Zdf\n5GejysCS0uFU/kVMw+DITJLxVefxByMG++T85N9Pjfj4i2Irob5jOMn51/fLkgVlvyBvCdGsFIHC\nIQACuf04roblttDYHCAej3P1LVGuvTXGkpUBYk1JbKdEb/swYhaelrhmAxWr1qzENoIY61dTqrsM\nzpHd7fiaSEVv4D/2GgnM6RvoqhtnotjA8wN3EI6ocbbnJKxcp5SOFX8dnDD+ERU/16otZKcU9G21\nPIm/+yk6m2tx0jMMY8KOc6ulSsm2j9xPMjeGMBwyUzHawvVouotmNZFvPErDhcewyDBR3E+p9Rli\noVqL2zMkPNINUOz7LJP5M/C+OmZji4pNBMIeQY1VhyUdDCQ/WGbxkcVJNjelWRwu0yOXcGXdG9r8\nugbanMz0StSkdP4GJtqWkbL8DHsLeUBoSCkp7FlHcy7KlNcAR9Nd7lr7Naju4EhGxZMDRoF1rds4\n8LOHsWeK5EUesyzRbElikQGGIIeNrrlkKwpKX1ScQnMlKQ9pua1riplv/Tntz34Zp2WM+LiPitHB\nE5FW/jalM+kx3OUjnRRppOrqbGzMkjfL7Myo8kKtsIzhytmG4d6pxZi6NXvdFxhhtqVjfLjfwK6U\nCeoVFsc78ZtNlNwCS4JJUuWzu6NddMcIK5sOcEHHK1yzZCs7R7eQdhYxVriaoFnCr5coVJVhVrVD\n+PQyca1ldvy9nXtpMouMViN0B88uPS2XJYuG9sx+LtohUttSjPvjvJ7p4NpGBbkPzuSRlRVM5duR\nfvX8zUhJo98LG+EltRUS/O7S4/zmmpPc2X1kdr/CqtLPxWTsZmQ4CJVVxHWbghQ4ujovUV2BrMbJ\n37eDtsPPc0Xm62hGlrSbo2D2ze6r1e/SbkKnWWR1l4vd8Bpu9BhT1y0nFurnUTvBhBbkRVfdvynX\nJWELQugUcHGFTTmrUzheYM/YFg6klgPQ7QruqKviIJj2hcni8OLw01SlJJnuYzjxKINT3yGlB8lK\nH0XLJj2HU+CNcqgkCK5ciiyeXQX0y5AFZb8gbwkJ5A/M/q9hM1NsA0ya25Si8fk0dK+tZyQSYDjx\nMEPDz8yOqYaW4zgOY8nnuahdkXtYRohAsJZoNk+kxHEkz/xk/oLZ2W3S0HTuBBwzcSOJcoD1La8z\nkFo1z/MHaKpXC6QbPH2u4Ziayz32B7mjfRM31I3SEz2bFKhD1NjXfrr3z9X+Kib3PXaKvKVitrqX\n8Z+3pkBCKHs+AaOAwOXONQ9w7bKHiPjO9vquW/oofr1I3LBoC5ap6jOIQi++kbtZ3LifexokvX5o\nD1XZ2JjDwUFI6HJbzuoS6Ppr8/r09Z/g2c67OXnNXtLWQZ72Os0FhU5h5wwf2vYKM2FlAJxJLPOZ\nRcbtB8lVGjC0Cu9c+9d01Z1g180hZvY9zVDxMPWTNtGUS6YrTOvHVpD0OP8D5Ta+2v8NvrTnPqoT\nw0zPVGgNVOgIVZBWBSMzhuNL0zhdpeKvYyyglOePS2WecuaXTTXVn+TVumPkqgpJ8Q/8NodPnE2H\nespVfQcuMFUFSPGYje0RrezJmdwsujAC16IJg6pf0l9qICqbztqP7cw3nEKmUhxrW/agCQiaNUVS\nsetpCE7yVL6W7b4uOs0HOg4CcN4cNkFHQr5qMLSzQHwOS1623IA/kSPti3BeVN2zgUyI5mCEJbEy\nFSdIzqee9x/lDVyvVO57x5XB4K9UWduskK9VLeo8ci9P4RhB0nXLyFXqiPrTHJjYxD0dB7GQ5L1m\nQPtzjWQHVyMd1RMycmkzR3O9lLUAH+mow6jfyfrW7YRNg4Cm+iiYzWHcyDHO0yMc9x1gTaOPGez/\ny957h8lRXvn+n6rq6pymJ+egUU4oISSiRVgTbAzY2Ga99hpYpzW7jte7tnfv9T7rdWCv44LTOuIE\nNiCiESCQQBISytJImpEm5+mZzrmrq+r3x9uammFgvc9eG+/9Xc7zzDMz3VXVb7/11nvO+Z5zvocD\naYkcBlNGnnrJzmrJjVOSKaJTQmK0sIypXi8jRoGzZo4Gyc4n7Ek+UDNfeWdlNyZgtwXQ9BS9rk4O\nBTZz16ibgiEzoVlI1Ga3SVvOeo4KpkQ8sAglVMOfQt5Q9m/I/9WiZs/hSB1DzQ0CEK79KwCiZU7x\nQMVCxet2C0i7J2zBt0XPSmIxwUp3oNwMq1hdj+yyzXazOy+SrtNwvAttMDJbW39eKnIJ3M7Xtu6j\nyWZsbQuT/XwBmVx5U1a8Qxi2+cp2WSDNW5fEqKGWilgOu2zyeDFOMDi/JKs7bSXqOSqFIaLnxfec\nnhEEJlJRZHafmPgJtxS3wsgd5EseHL4eKlwzVLvivHnxr+ddd1HoFG3BcwRdETJRDa+qoakRlGwH\nxfbvsbn5dyTsJzkuH6VLOoGJybdtX+PR8PcY3/4TkGSUMjmLKWmglGFuXcYtPQuKGFu00qKafaKr\nmhOnHCQqZQy5yKJuJ8vncBwk8yHORTYgYc4LhQy8P0jKq9N6RsOVtJEMqajmdexL1IJhZ6u2DE+o\nHl8phy6rJNRqnI48Zjn5Ku+WMGwSrqRE3l7BqNNKkhs1CuRHnsRbznt4VP018eQuABpPVb4mIY7i\nS/HkeIaax0RHwF41xiZV551KFQFp/hrVHSVC2Egkl2GYGnv0BG3VonGMZoh7+fCpdoolO3XeUcCk\nyiNK9IIOaz3oZp5rOh/i3uH1AHyp83mcss6WwBhPb/gFG/2T/HRsJboJigSRtMRoWKFhaj+d/Q/T\nNrKDkuEgFlhM3O4jWEZ8vn24hWafn2pnkULJidMh5u3cyAwlpUhW08mXqaSXVCmYtvLYygx42WMx\nXKPPAIK0JuiMYtj7WOwR4YN+TWGq4OaDvUt4c2wpt1zxVd6/7YskA0HCRRHOciuwItRLW/VRXhgd\nwzDhK+MyX+5OE7AnuMwWZJ0qUV+OrZ/ISrgkqJUFWrJZETktPsXAMGzoksqJ1kvYYcTQEUx/9Q1B\nDMf8dsZHA5vo8q6hqfKtdDZtZsgtQi1RXcI0a+guL+uLPAafrU7wuZ4H+VrmZ/xtiwjxnM1lkYzX\n3h/+mPKGsn9D/q+W4PiPCUzdjyPbTabiCp54QUCF0Vw1igIu98Il3tjYiPwKZq6CHGJkRED4E9E8\n9mKCVGU78SfGMO7/wbxj1XI5VmpwIce1xyjgSvzH3NcTcxp2nU/OW73eRS4jNqa6oJf8sn+gvtKC\nUx31BYprOtDL6f19BYn9GRlPlcItrZNsqhLGweFR92wSGICpS2jleH9WkiiZJvbEIlQk3iu7iOeF\n4te9XURb76VbF5t0oeTBsMUxMXlT+3YWh4Q3WOmeIpxXsdmjIJfmUbu66x7nOeUZnrE9xVhtHFMy\nGWhKk5OFgvInB5GMEqZizY8rUyLeMozXtNriAmx8Jsv1TDOlOnnmL4Sn/JBnG+19otucUpToGxXE\nRWvqd88794SeQdElWno0suo6crY8nx0OkXQOoKSXIZkOIpk6TASHe1Wki7SRw9QEejC0UqAHgWiW\ngiPIIpe14W+IdnNzz69ZfeZHhM0C4e42pk2N1ryfhtOvIM2RDJRyKV5JM/E3rMNegMazGlOtNhav\n/DJeSeFy+/ycjya7g5ttVVRJKklTo9vM4fH1Y1fyxHLC2w/aNXo12G4/wHvWf5mgUyAODjWPNz3G\n1bs+xErvXtKGRKzk4i3+KL3ZSr4xtIlmVwqfrcRgqonBfJAy4EVrSOPKW1xossyS/odZcu43yIZG\nuHo9bY46AmqBkiEhlxQqXBXIpkZBdxJGKLzA1BANqQF+2VfkikUi72BtczlBVJtDU3zVHXy/biU9\nRpbjSUHU1BI8x0qvUPa7Y63MaPPphpOGyjMRq7wtXCqyKThMf87P/UOTfGs0yW9jCvvGMwxNXQ1A\no+Ql4XgKVTLRkaiQZfbPaWYVN0uYzgQ98gzTpsY3QlYp3ocXP0GVd5Rv7rLQv9nPdtQRN0uMSuJe\n3BoUaMZz48OMajIfqdH5X7Vpaj0uBkJuVrunub5KlN0+lkmDW11wzddDXhdlf++993LnnXfyyU9+\ncva1Bx54gA9+8IN8+tOf5tOf/jRHjlgb28MPP8xdd93F3/7t33Ls2LFXu+Qb8oYAIM0hHdccTXi1\nfk6OOxlKrqSyxob0KtlvHo+HhoYGnKp17u6Xe3jxxRcB8Oez+NKjeKd6yXXFMZ57Zt75rlgc04Qz\nifmlcwAOm8nGqoUtbOfK5GhZqTfaaOsQj+C+5zOcOevHa4+zsfEvuMa3kWub99DkFq6CXcmCJNHn\nFB7JcwnxvdYtqabKqdHqsdCHuUx3rpwKZfi6tdVOS+gU5NaxuAwRp4pCJyk3iQAAIABJREFUWRuq\nMBbOx8vHdI38sn9AD76MTS7RGBBwR9AZwUTmOU1kFes+kXA1k5nfJOShAaukbKzdj4mB5j9MthhD\nkizUwiw7tTMd88MlLc1bkBa14ayyXh+Mt1MczuKNGDzc/VHOpEUG/Y3Vg/POLWHiielolR2gtoFk\nUtP+r+i2BHJOjHOyaj0pTyM2o8iFR7+KZ+I0Z44cRFOh62Lh/fkSJfKOCtyqAZi0uUrU5IRSrUj0\nslOLcOmhEUqYjMe2cWr5++eN413tE9y5ZAxVKSEZTporRI22dw5zm6lGcevzlf1fzkF54+Ut+juj\nawk4o2Q0P5quMpG9kQNGFA2TqGllhle6pwgme1FLWZo5SVdcJAQW0x1sH1/PsaRAvEzdS4e8jjtr\n5icSAuyuX8FZXzM2o4gjHyPvqOAtq1/gnTXnUGRYWX0D3ZkNjE9mKRQd7I3fhCHJXJVLoheKvHPt\n47SGxJjORVZR1O2YuYvQ8q3I+Qt5wdVGAZlxNcFvMkLxhVwzuJUS11cLDom+rMirkOeEf56asRr8\nfHTQwyPhxeyKNpFTXDwTFgpXxuCmGnGNf+nfym0nb6LKJta033CwvMyTD6A5+6h35OnVFE4bVvjj\nocOfY23FEM8M7acoKXhLC4337foMu7Il/LLJX1SLZ/ExtzBGljpNxuJRZMngLZduQ/GpnB4S33NX\nrJVj/UMLrvd6yOui7K+44go++9nPLnj9+uuv5+677+buu+9m/XoBNY2OjrJv3z6+9rWv8bnPfY4f\n/vCHGIax4Nw35A3RC/Nj1sbgw7xj1QR5dQ3ZgpOGllen2ASora3FpYp19dtjAY6fEJ7r1q1bWdPR\njjMfQ8pY1zfLzSvUbA53JMpMQSWhLby+11bCZdNoqYeLV3bjsqVwKHm0SuEhnLc9bCpsusTLxrrn\n5p0fcoVR7TVUNN8FikZHRR8ALkUYEKcdPn4ZkfltVGZzkxfJ6+bhcz38ptviNc/0dqIXBWRQH86z\nZaKX1qqN3LW8h2s7nkCVC6ygiqJu50x4HSYmklMo70mziGmajCkCDi4FXyactYwHn0MoasMm3jd8\n3Zgm3Hh/mPqzljeWsb84+/doZ4BS5QuEL9iPufGf0KseBKD9mETeI+ONzi+ZkjWT+4oKp7SLkcpG\nzGW/TXNTz17ykwWmYx2kDYv9rj4539AA8CZ06jaspZSc721LeXFs1lPPVGjF7OvLDvwc/+GnyPms\nLdGdNGipVjmVk6iywWDORnBOZ7d39j3OU1vfLcact8bQ7MlxQ1MYT3l9qbKOS6qmMX0A76U1ULA4\nAUzH5OzfbYowbPQ5HPpHzSQOyeRsthK7ksdpy1EouciVvGQMcVzpPKlNoYoKV4SASxgkSkBlJC3y\nDaZMjWrPJKMFgZJIShrFdZAGU9x3c27/Bk+Qv9twF08uuRxnIcp4/VYeDf8Pfn78Y2SKXs5vx79L\nr2S6z4Up28g5qwkpE1S0jqFmMmjhPKW8kxcGr+e+Yx8nkg/gKl1M/3SIpxMSix0GF7lLJHSVTNEK\nPV1XJdb7lwZEbfr/PvR1th/4Au3OLD3Zynn38ssDW3lkegkOu5eIXRivBjL9uQCaDocSAk3IGCCb\nOkFTY8X0/tnz7dMnCdqKxA04Z+bxInOZ7IeMQU5TkFxuVFPnwsRLrEidYG3iMDfYp8tzDllMMGSm\nU5PzxnVmpJuXu46gex6E6v3IVT4eOxugJTdIuzTB6pZXb2/9x5bXRdmvWLECr9f7+w8EDh48yNat\nW1FVlZqaGurq6ujt7f39J74h/0/J5JjGk9uLzGQsRRRyCus8mWtGlqGu8bXhsubmZtx2sWsFyu0x\n7XY7GzduZEVrM85CFKVklZYZx15C0nUqBgYwFIV9E4UF14ynj/Pr07v5hz27GRo3yUZneNea7xBb\n9mm0ukfBNT7bGOP8bxtpllZZ6FWwyiGY+iQZzdlEZ+0TvHXZT2nxdQMwnTP4+qRCVJeodNtAkjiZ\niDOYnCIcF3wCIfVS9F4BZYbiKpMX/BO1/gDD8UWkCn6WVB3Hpnu479jH0U2VxZ0/oFgpGPPiZokZ\nUyMvi7k0vGfZH3qAg6Uk40UFfzlxr8pjVS1MpduoT86wftckqXJLXqdLwLihcZOSfxjTbpUbFcsZ\n3YtOZHFkDPRyYXf9WTeLdy/HmzAoyXHGu36G5pZw5KFmVOfm0d0UExKRdCNg8pl6nfuqJik+t2/B\nvSg22FGX93DDgX+Z97qStcrZwnUXz/5tK3dJ3Plua59SdOiT/WQMiZbyUgoVkxjlGPsNY3vo1M93\n/LPc8WsaZmj0FMgaJaadcVTZQNUMbFoUdVMTI6GP4jrzJQB0h9W0ZvmOT/Pmne9n9+5nWFO7j5Lr\nCB9vKLB71Rg3BHUcSg6vPUGmXDpoKsIQypsGWb0GuyS84eXVR0ESzI/9aR8qEifMFD9e9QT3LH+G\nnimRM2LaxsElYO38WSvRdPNaHZUSBypW4CzMzx3pi66Y9/+0KqpEXJuqqaqO0JtezeHJrag1TuIH\nrHt+voNjEgdOdYprfWFa7OIhOD61QVxr5zSNjvl8Dl4th1pVzxqnQFucssZdzXNLOSV6nS3osvWs\nf7H/Yr6wox6zbJUkdSfrkofxRJ5koFUYpLppEsllccuJWRLhzbKfQbPAfVveQzQrc2HFxvInQFNp\nGlWReXflfMNUNXVOZyxPfVP8Jc7NjGOWsiDpoMTJesV3X5w9y2a9i3TuFYk+r5P8SWP2O3bs4FOf\n+hT33nsv6bS4ydFolMpKy4ILhUJEo3+axgFvyH9fiUXEA9MbXUlJmd8SNJKqobrOhqouhPCrez9H\nTe/f01Zr5/pNIrZd3y5idcViWblnUjgLMWx6nnTAj+xWGH76IQZ278Sm6ZScBxjO+rHLFnzqcBTR\nzSLeSkF3qxs57EoBU1LFbiGZdC62YukuNY8r8hwne8N01D/OihV3U+sbp26VFTdM1t1Gsu5WqtoX\nM5lIUizpxOZsFOvqPZimSS6XY+OG9WQKYtORcBM0rsPsWkpuSJTUBRwRnul7O491/wUNwV5eGr56\n9jqnsvMN8ce0GdKKFYowJdivJ3m0mOCkMoRWsQfDIwzwZD7ETQ8Piu+UNXnm7B2MJSy41R31Y7hG\nKFUuJDYar74WeyaIrWiy+oUcm58K09Q/wzU/T9Np72drzzB5t4TdsLYpKacxlW1hQ2Cat4cMltVW\nUnCL+7wqaSU+zrhM0nad2r9azM1qNRsVH/74BiTdypRP+lrmjccE9PKa2fYrsR+dk8U9W1UuL6so\npkgEahnZ8tc8e+m3qE8cAlNG0oJc1zTN21onmcmlCD95H7+wf5/MD+6ltX8HRsHLA8eCHJsoUw7r\nHjBsxG3CK9SyE0iYyKbOuvCLXNCwl6eLPj4/pvJ0ro/Pt/bSXtFDvW9klhXvfJJjHgOX4iZfpqTd\nY7aTqa7gbK6Skzk/GiY+m1jbSz1RMiUro19SRV94bdoKA23sSPCBpiN0udqoq5/vtXZPi/W9KigQ\njoKjAp89RuMWk4qr6winG4grbQDsq/2wNdeajcLUKIFHv82/Oh/i2v5fsWn7F3FrOR4/HGH8a92U\nDoVRwwk+27539ryAu0TlNe9kZTm578LABNdV988bU8JciLCd9qwkblhhNpeeZUatYpe5munkfn6s\nT3HGs5KhMfHMOJHANBk2C9SEqvGb66ixWefrhs5Kn4MloUrqsQwS2TQ4OpjFVxLGkl8Xv6dDFv1z\nomAlYF4Zi1Dot8oGX0+x/f5D/jhyzTXX8Pa3vx2A+++/n5/97Gd85CMfmc2I/c/Is88+y7PPCnj0\ny1/+MlVVC0tV/k/EZrP9wa/5/5r8UebQNHG7o0CBfMlNxrueQELA4YYpky54aa/zUFXhFfXxcnkz\n0PNIZcKWyshDEHJgGi0sXbENHn0Rl8tFVVUVaUPHk5lAMYq4a1qRk+eoV6DGV4EpJZjJpLHbKsgW\np7HZKgGZypoAhcImsmkBi5b0FKpSJFpOBLSPvoeVf7aEDesV7v/JICpJRs68wCNHQ3jabHgXDfPX\na3ZC02VzvmgV0M72vS/w1WMdXJ+foWjaqPLY+eL1y1hV7yeXy2GaJjanit3nwDBLyGU+cC8fpn/1\nBHIeeqMCOs6VvLT4RjhoWBuk6bQ2dD3rJufOYpTnaWO4koZGiUe1GTQ1zhEDaLRohXvPXMbt0Z8C\nEHUEyWNyYPhGbl79NQCUXCPQvfAeGjIDzTejyTJGcCc1/UGe3vavAFy273/gSfrxxhNk/TJ61toT\nJKNIn6eFO72DgFDER6/2AyXOpjaB3+L0/2lxko/YG6mekWisCeDUF3EEWNFzHz2LbqJQmh+vPrHq\nVmAHctFBcEoYOw8YdnyqiV+R+PyJH7I+2kNP0yb6PKITYVJZjpo9gWIf4+lwkq3P3sMvWq9mW8MQ\n+aKKkszQlHyI0fbrGIhWkENwy4cNjUBRYdXUi/w0sYZvH/zX2XHIDplHpxczXobcH5lazGW+fbQ1\nC7Ql4Mjw5+u+zA/KtubBcTu/nGrmpiYflVKQfy5cy6JFa+nrsuBin2KhVE71FTkluom9aX5C3JXK\nINul9fzQ2cr/bLmPKs8ET56+i6m8MKzXNT+ET63ipenrWRSy6uevXPQwFS4R4smX+wAYps7TYZXR\noVNsTKfInpTJnxFj+PleqxmQpEqow1E61lpogqfGxvc4yiIPrHQtIxjuR2q2jOzXkgnn/NDOntAV\ns39XJg4BbUw4G3nSCIEEeUx2mmJMd7ZUoBl+/mHPfAO1xSme5X+uy3H34DTdznYo50tsTBwQbIWy\nAYaC12mFnqNpy1j9NSH+JlT1J9ErfzJlHwxa3tiVV17JV77yFQAqKyuJRKzykWg0OttB7JVy1VVX\ncdVVV83+PzMz86rH/VelqqrqD37N/z9KdLqExy/jcCwEiv4gc2iW8Mw8RbbiCkybl9Dw18mMXwM0\nktM8TMZT/OqlSt63JUw2H8A0ZRzFHuSDP6VkryHa8nEAjNQE4+OXcEH9XuSsgKHz3tUkYzHe9a53\n4XA4mJqchskJArlR1HySGWUFDmcjvrE+PLKNU4kSeydEtyzDlAQcLyco60ZURWzQzYs0VLnAcEF4\nTD65E4MU2Ry4m/Ic68txZFCsaz0vFG/c0U5pzlwZpsm9ByZ5pk/M657+CJUeF60Bldb8AWLjTYzM\naOjIfLE7APbLeJ9hICswpmfoRuNNuUarF8r56TShZFiPvqlGaJPcND7t5+WVITS3tXl7a21U6F4u\nUors1xeSsNQkrNdebroCgDYjxNGxbVw3fgAjs55XVfamHQkJW3wj+arn6F1lbc4vbP0qAAPND5Lz\nPE/NuIVmxO0+NNlGu9P6XCdOMqRpe+anTF6vk6xWqJfsTJhFxswCiUd0Kt/dQqN/gCMTl2Ivpshk\nw0geoQxfuNlD1dkLGG1dDuzANvFeUt4HCKSHactMEKpt5t+n8vwyKtgLh1xts5+dU1sJRF7iiic/\nN/vaB889zI4Lq/HFskhOBVuFHXNmlGq3h6IuvMVa2Y6aylJ0SXz7WUvRA+iKTKJgGWOHUw3s3zXB\n5qvBudjPVKqNbt/07H2N+RLsGu9g1xCAqFAYdNTOu6bfZoWd6qKH0X3tlGxFHOoEek7HbPYLD193\nYFeK4Nb5YvtRllaf5rlIK0EliVctMplzkiucRpemWNo0hV1tpa32JZKFAH5HYlbRg6C4Xdv1XdKe\nevpbb2Dt8CExZ2MFFJeCkZsPifu21ZHvTtKy2TJGJLvMIk3jyvpxEmNxjiTdPNJl6Y7G/AgRZy15\n7NQUp2jKDXMksIn/SM54rWY+WdlKjlzmGCI0NUqysJa0VlxwXr1LHLumMsi/VwR5z9FBKgoiVCGa\nAemihTNQ0sXNyRUqGJ0Sxku9XkBXneQV9Q+qVxoa/nM5AH8yGP98TTPAyy+/THOzYOnauHEj+/bt\nQ9M0wuEwExMTdHZ2/qmG+Ya8QkqayWMPxBkZKMz+v/e5NIf3vjYrlGGYmP8HtaWu+F48ib2ERr6F\nO7oTWzFMMSu8spzmYTotMRq382MtyvaMiJ3WGcIqtxWtbO7TJ3WOTlzMcNxaT3JJQHI1NTUEAgGe\nezJJ6tgpVLnMaZ7ox0wK6z1+4mX2TlhUr6riQJJkQq5Rrq37Cj5HAkV20VpR5LrqX9MR6mFEK4Dm\nJ+ipRdKzYBp8azDOSM7KQ9HLG3vMY117LFnk1ydneKbP2vgc5FhuO83KQIbA1ANUjH6X/v4BYnYr\n7BWRIZXtpTDzIInCKIlXNLABEfpIF/1MGAVMTEwlQ6Ws4M9r2AsWzG2a8IGjd3Jr15t5Od7IQHQV\n/WGxkTrK9d5N8Ri6JJP0tnAy2IkNiRWymzPTW7hH+jC7gst4sOtjABwbv4K9g28rT7zYTKV8I6bm\n5Ll2H1kKoga/LOcW3YJm85GfCfKDJW8jpziYcQZp8PdS5bLWU3XUQcVEiVXxAQoescleYhMKof9U\nihfeHuRB9RDnHD1IGDhsJjl07IrKgx8NMFO5lMG6D1L0CyNnqmgx11WZadqdBg05sTknPU2UWt8i\nxq6lKMnV+BIL53jQU4kvZhC8roGq93awcuinyNr86g173qTgtCyxrCLWwTe91/ODCZGw/N22RwAY\nc1eTeGqcM5OtTPn3MSCN4I13sGfwbZyObVnw+Tpza/dNOmzCGtXzBsFWg8K5NA5V5AskZCdffKaO\ng8NuDNMGkknAqbO0WszHtsoh1jl9aGaJYikGxn4eP1VFJKtQU7Efm6xzfGILM9n5BkZRd+DNjFEz\ncxxTVghXiRCAlMzPU/SPdF5B1VvehWtFEG08R+mJfvxako7sOZJGiCvrRa1qrNwtri/iYGvsRS6J\n7mJZ5gxOTTzDzfIMy1xhLozvY0XxNciwgLyykN66Us1SihZw6Rl+N9DHt44cmn3v4xsu5K51G9lY\nJ/JR9kSyOGRYXjhLqBTDaa8juNp6nut8GuG0yn2H6vjlqTsYyAjj4sYze7g1dg5T/v3IxB9DXhfP\n/hvf+AanT58mlUrxoQ99iFtvvZVTp04xODiIJElUV1fzgQ98ABCJU1u2bOETn/gEsixzxx13LKiJ\nfkP+dDI9pYEJ3Sfz1NSrPP2I8LDSqdeumHjywQQ1dTYuvPQ/l6T5SlHzooxL0VM4pnfRHV07CxFm\nNB+TMR23X0E3CpQSjbjtOtXOgQXX0QrldrCuZWwPw3dG1vPVtSnSkZ0srrwSvWRSTOfxxofQKupQ\nsxnyjiB9bdezrus7dA0XYE7HVUkWirGq7GXesOI3pJd8ir6dBWySTsk0mSCLkl1M0BWneuAeMoGL\nac0peMr17GoghVlOXjKSJzjWVYfbo/BgZIb9I2ITu6vlIJoh893RDZzLBHn/on1gwoFIkLuHKqn2\nWuRAp4wMbfk+ZKA1N0DC2UmFZOMdK7/HoZ6NDJQ28MLgDQAMmgUa5DTIOi5knnPVMdxvEKp2oXpz\npMr1+olikAPxVpBMwaBn2vDIDrKmm6uMSUyHiz0X/TMjepSAaVCBjZpSkbDNwQEKUPLw8kvvptfV\njv886YtkMOrcTa3URDTfSNA1Rbzlu0iuGZw9X5glp3H3fIkHbacZbwixMtpL0a6wtOoQHtbNfueb\n/HfwTfWr/O52H4Uyr8IJPY1ecnI41I7dfYatip8+I8+2JfcR6txKezhPPKlg4sU58FEx/+U8hAN6\nmptUoYw+c/TH/LL28zRmhQeXWiP6pxvOUYpSJXbDj6GHgPkNTlKjrVxyehjnbaJqQN62hvz0FQA4\n8hEKzkrUvEQyBP+29B1cPnWE1lIao07h+XphUMmmQfXzXUhtbyG+pBnjxSM8W2HFswvxKobjlpfq\nxCD/Cv9tk3+cD557DGOpSExM7hij4sZm3GvEfTBNePKMGOP+4Qo2tIrXnep8A+b5gbcynK6kpA/z\nN5cKw+cff1fHZ64UTluh5CL3CmNGlmbK4TCh3I6v+hCheA+uvPgM37WtOFvt3O6LYTecmDYZySGT\n706yabXImh+Tg7QiHItiSRhGugEurBCMs0x6dVHNDG9rifKL4+8GJNJqjAu9w+xI1JPSrWdkrrj0\nLN5Sim91qgz4utl5zsnRsMUs6KlsodZjfa+fdJ1gUWsU3R5g27IQe/uqqfRdyNtCXXyjfMwFjTn2\nlCaYduXwTejMZGNIpolimpjDg9iLMbAvZFn8Y8vrouw/9rGPLXht27Ztr3KkkJtvvpmbb775jzmk\nN+S/KImY2ARkWaJv0Erqib2SSq4sxYKOacDUHCjWnJ4ExYYU+v1xK1mLznLem8g803cLE6k26/q6\nk/zMEirrFeSeG5BLAewVRRIN7yMw+UswS2DqgASG8CZzUh1fGQixVHJx6HgbheYfUrWukyM7K/Bm\nRKIUyTi6JHFq43VE7Fu4YOQBnAULjVpTs5sT4csBcJYTgd1yBD2+h6agmKNuWy0lZYw19RezVb8H\ngOTIATqzotZZ8hZQ3HmMqPBCk5NdjAy8CdBIVohrfKyji1urTrM/IaC6s9lK7j7ewF/WT/GJfpFk\nNy1ZRtSAWaDayOADKkox4kYOZCc+R5x4Qsf0mJhqBEkLEbNNo9l8lLIOjgzVMSwJAyp6YBWB1ecY\nY8nsdc9FNnDbBYJ+99DMOtZUdtFkdiDFzpI931nN1KnSdQLZIW4xdb5js6Do287u5FSwg+3NVzAc\nXcZ0romBbCtNjjShfJCOyiFs8iQmIKtnMTXLqsopNUCJ+xddSU1nF0v9h6jQtpEgwXQ+wGdGbHxq\nWSN7PGEaUPDI0GNkcUtuDN80JhIbbH424OchThI1j/D+znp+cmQV7u4voYV2YdrSmJ6ygWhA5Zzu\nZEZ4hBXpEZAk5KZlEIN8+zdRh29HyjejZIPAGHHVyxdXv5/35HNsMNZTeZvFNVBZHYdycnrV9BFc\nS+3EEgrbzb8gXN/Cnpq1/Gzv/2J61Adlan1DkpGGEoQakvTX1ZJaGwJ0fCiUMElMZyh3/cUlp/ER\nI29YbYoBvrR4F1IphzsovOPi6Pxy1d4JhZ6wQDKSeZDMIkggzwn9FHU7AzGBOpV0q/Swzq+RLUp4\n7JDVFLKaWIcjMQ+/Puohkf8dl13RhPu5fuonDzBRt5l0VRtarMCx5Ut455rzoYUSpizCaka6hD6H\nG+NJKcTDz7pZVHc5ybzVxc7taMZpr8Nlb0DJdnOx/QC3dYxhK1yN33mGrLaBBsIs9Yyws0zc8+m2\nl7h7UKAg/9K5i8/2XsFm2wBKfIxKcwuTxiqgnHiq+PHrSRKJCY5GnAxE01xQ66VQ3cXFoXXIxeVs\nDOTo8YtnRJED5d8GNY0RPAiDaO3j/8hQi5i73uZlLDY0jNEpWDY/OfT1kDdc5jdEiKnPKsNXf99E\nKU6zXr0Hnz1GLmfweI+l/NJFnXxpoXcfi1jXPA/lG5/9AMZnbsf4xXcwe08vOGeuOFMW2VLJXsNU\nymoyUukpx8vMKmzxzcgl8cAlCkMkHfWkqq4XGc56Bl/4YSjXSKcNAcdVlBPZJC3E0/2fJ5PR8WbF\npqjqOSpubuGKdYKgI+NuwpuxFECqaHWBaw1aEJ5v5gn8Tp3jY066sk4kZDYo1nd84oxl0cvuArJa\nolS0YZowWYaPS3oWOT7KpnoH76w+jNl+GydOWsbSgVwb3xjevGCuzgO3TiNPQbIjATE9jtce56Hw\nUu52tBDxHSS/9AvkF3+RK1Z+A9PVT7K7jYFx/7xrFaN+JmNrZ/+X5oQD2ipOkZM0Xoj5mCpCyRbk\nqJEmgU5TahhPbhSbNzTre0sY1HoH+fOBHbxr8Gn2DN9Cz/RmioaT/lwVqWIIm2x9v8zSezCx1tL5\n/uojrkb8jghu003QDPHePgfv7bcxXJQ4G7mMB07+Dw4PvoMbVGFEfsAd4iavjGtOBv64WSCHwf1a\nmOzKj2FIebSGBynV7MAsf84yTwITOHSVi6lmhfcc+Sl/NrIHxeMnUnRgqFFQ8piePiTdi9QiFKzN\n1En72xlruIxrl8ynGw65Ztjm/BGSqZMsTNOoDTCYX0w4W970FYW/vujv+PBFfz97TlVePF8+JU5f\n0c7+Nwkl+JeOeu50NJDLWkpxed0+Ll7223mfWaVm8dg03KutKpBMndXwqBjO0/2spfzzmkFqPjM0\nR0f9PHmmCkXSqHKPos1R9iG3jlQuXJNIMZ0U0PlUyiCRF6sxVtdC9dvey+pR0SgoElzG6fW34Agu\n59Uk3hTgu6uunPeao5glGw2TKljfV5HdBNzLsdsCrKxewqfWdaMY9chGJW9uFkZHbayHSyqG+LOg\nyH5fqVprarnDxr3tB7ijVXjxfbEohTmltufcohmOraTxpPY0Xm8PLQ27+ctWL7Imxu6S7Rghwfw4\nlmxjy+Ywn9kW5oxkzVF8VYSqVT2sSQ3QOdLNT4KNpKvmsAm+jvKGsn9DAPCFH6Km/38uaFgCoCRP\nU9P3WbzTj+O1RVjXsBfTgMKcLOkayU7fSJ6ZrMb/3jtOf1TsGrk5sblsZv61zV2/w/jmF15zTEpx\nGtfMLiKZKg4/2cqpx+0Yc8CoSKb6Vc+TdDd90ecpKR56MiEOHn0MV+rQLDXsudMF7rTVsUouw3Pl\nZDXTOYY7KzYs2a3gXuTBW05sGvUsw5udxF4QMfSBuKUIHbY8BdUyQvz2ApNGkZHp0xg5F46YIArp\nTusMRqx4sDMQZ7rQiGFKKLqHoaKLSbPISGIPtZOH8ReGGE228ZMHhjib8eKUNe6sE7HEnpKVlLNM\ncrFSK6IAilFCNUvEVbHBF4wYoaVf4dlYnZhT/xnxXcuNaEr+E5glsTHXBC6cveZ4opNovoKgQxhU\nwTkNgdRyZvdUwcvPO67jbPV6DhtpHEhUrHuBSJtOTqmgTRHzvbnlcUrlkraNkYXGXSy3sDFIU/Yu\nNpz4ICNGgeQcQ2M4vpyQUcfZPIznfWhlAppTaeG9vVhmjGuhvOEZAytaAAAgAElEQVTLdryaldMQ\nLBt4EVMDyaDQ9p3Z9yQJTFPiwkSSolticJWdF2+ZE3rqWMdwVsW0z5TnUFQxhBHJhb9pvZJF5YSv\nuYlq56V95TQ3hP8et38xkRGZlGYp4SIKEbtlcK2JnuXzJ36E5FJw2dNMZlr4zrHPcHDk2tljCmVv\nckPjDpZWHyRoF9C2rTxfq7xWnfv5IidfbnCWFCeegD6feIYqPGI9R7LzuSnOTCkcHja4bc3Xubrz\nYdyqlVj2rnVxqrxC2b9l+Q4SeRGaOq/oAV4c3MrPIzm+17ySXHGCnuqLiTqu5Or2NSjZ65C0+R7u\n6FqLB+GvTj3PmkSOjOIlljnO+a6LADZFoFAuW5oKpxhTrtzuWC5TFG9ekeHru6oJ90yxe9N9LApa\nJXsV+mY6vRodzq14VZXfnuvhpUnB/6DIJh7DMoJWuFW2LRYhNbVkGSmKpKDnDUKuMIPxJVwVsOG2\nm2JtlaXnQidKXQr9AnEvWlJTNFTPLxV+veQ1YfwPf/jDr/XWPLHb7Xzzm9/8gw3oDfnDSkkzmRjV\naGpTX5U69ry4yh60mutHc89PiPRNPQQSOHLCQl5ceYrB2FJGYy0gm9S0qYT7S4xMFRko5nlhMMnh\nsTS/eMdiigVLwScTOm71FehBPodZLCDZF8bUXIn9dM9cwP6Rq6B2wduzYmLMa0Cialm6wr/lsHYh\nD54WyVSbVk+QLr76QyYXhCI0XMMsroljDoKtyokkSdi1DXhtJSIVy5ipV3Abe/DVvJX4dA69XN/r\nVtPEGz+MPT9EcPLnHNJTnK1J4gQKUxXYmg2Se8P8ThL156WlKSrDftSaKNnESjykKCYaUR1TDCZe\npFYrd1BLjrIj+U5QIGV7mryhcqlyjtO+avalBDNcvWTnEiXASTlOQ7afSDlZL26roLY4hUPLcGTc\ngZaIUFV0EzujEugI4aoT3BVFuZdSahUe9wrclQqT9lbqpoeoSKfApqGpYouo9Yp6ZN1QUMrJi+6i\nyvGq5exXxL3rrN6HOzBEUnHgHLycSknl7Ut+iOqaJF92rlszU/yy51+4banFqNmiiaqEnOahdsBG\nckmCh4LXcXLFBqpKUZAlGlxhMibkSx5eGrycr6bmK6XnX0FdfKPDutfVsg0QG3BIUomZc0JKnvk1\n23J8E419OVIVYj0piQuYqkqQajzNyfUmjhEbhlsgOYZToEBe2U39Z1aS7OlgRdqDyyYUQ29kJZ2V\np+ZdP3iBiwvkM5SOFomrzdTZ07ynoYt/Hbxo9hiXLcVtSx7jZPubKHXuwTGoQ9l2OBdZD52C7dHl\nE3MQdIaRJPBJNnZtuo8TQyZSqJbl3hn2D7mZyvq5cblYU4pD4sCDCTbdEuCsUsmMwwPIeJwdxDLH\nCee8dJRj5GdGlzGVimEiMZZUafO7uLJzkNeSpTViXSTzCl5nB+l8P+l8HxFNIBSTMYt2+mFjLX+5\nPISpCEWd0HQOFe0cmloCRLC7ltO92iBXs4WGVJ5E5jguewMlPYOmJ/DafahygQubnifomkHSWvGW\n4x9qeSuIT8fQTRsSsH/4Gi5re2r2890yuFmKKcv47Q7Smka6HFUwDKgsWcZao+GBco6AZAgD64vj\nOp9rULgktIrtkwb1uSZkJJIlL3lDQjJNTMXab2faZSbabNTUDTJT0nC/emPMP6q8pmefSqW46667\n/sOfj370o8TjC1thviH/feT08RzHXs4SmV6YMQygaBEqByyWMTU/n7dZKUxil6xM+6MTW9AMlSb/\nADWSit0ps/4CYWXv7U/RNSUeioxmkC4aFAvW56aTBsTmlJysFZ6kefAVhCvlkIGtMEY8/+pll+dF\nC+2aVfSOQIRV6iku230PDX0lFNtRABZLLh45cycAz+oxwjWD6B6L2MKW2IBt5jJwTyJFBayneR28\nEL8QyajiXUv2kvS1suudXsY3PUU0OTOr8NbXPo8xEMGUnBQ9Kyi4l9JvWMlDlRnRkW0ybiMS9yI7\nC9gCOVrXnUFxasyo1ejIpMd85GMlagtWqCCdsbzKcZ/Izq6PTfOVZqs5x7VyBdlSDkdiH4tyvaxN\nila/KZvQrm25AVKnO6iLRFibOoaUK5E83Y6hid2mMCOUos+9gt1ajlPGUqbLMPja1DEy5SQ9j10g\nGrJk3U+3VEFKccwykBkSOHQJwzU4e4zdNYkkweLjlpHX/t5GfrVmO6v1KJX5OBvVB0nkQ+w4eztq\n1xK8MZ2TWcGqNlM2UNe2bMeuFEin2ziQfm0YNGDLL3ittWChEmtjr32u49zf4x+4jkVDT5IKKWCC\nY+QODl/wCY69yYUtegkmOqWKA8iZdpR8PXFTIxHdxGPdf86Ha8Wz4/UKY+DM9DqSWRcnxjZY89Hg\npqluAoc0TNodosaeocYunq81oS62tm7nzUt/xImmPB2LXuCInuITzcfnjfNTPdsIF9x4yhpDVYSW\n8kkKDtlgRHKzMTCJRymRLsg8PNrKobDEo+kkpkuhfnQKRTJRjk0gmQayJONTheE6mbHq7Zt8VUSz\n4jNG4yqalKRUhgUK2vwEs2hWpSWYxTAhnLbRWrkSSVIpaAsRDoDu6eP85NQhkLOYpslvx5dx4sgN\nZAoR2osy1e5qzr7pMMmV/4Z9+e9weYJU+bcgl5sqdQbsXFLxIp2Vp6lyh1EKFhuiR7ahG0UOj1i+\nbF908bzPlySQjCCTmTTjmfmsfSYS1YUwTS7xHGeLc9Sk6SaqDXMwovD9sMwFHpOBogOQKBTW8/PS\nOXRZZ8X+Aht3zF+Le9/mQc2ZTI5P86eQ11T2W7duZcWKFf/hz8qVK9myZWHZxxvy30dSSbE5H92f\n4ezphRuhI30KZU4czp7rRy4lsOVHwNCoHJmP2hyf2ELcqGF5zVEWNz6Lxy2hqjIGBk5J5tCY9eBM\nZzQKBQMksDskAeNHhbIfvOMa4u+/Fdlrw3bCsrhN08Se7aFy+GvI2TFiuWokU6dlZOfsMR79CQBK\n3i6MOZ5ZIVFJ8MVf4ipE8R6vwCaXaA2eol6yvMCoWWLatoNC27cxgw/TML0dkLFPvgNJC0B4EskA\nzW0nnGrkpak68oFWVjdaWdCZzn+kqLtwFGNozz7B7l0mdB0FSSJe+w7CWRemCbaCyYqw8CgHy81O\n/EuGqPUNMVWO63Xa3czYqynGZArJ+d5qUTPQSilGZ7ZTVxRGiN0jY/PZ+GzPz1guuZEliQP6NGoZ\nOnSYZVY1eWF5EcCEvxpMmWLcR364lmLMj+pQGff20psVcHpNUXhibj1DR7aXa8Z30+Yr08JK0D4g\n1pRSCsy79qLQMa5xhAgolkHQPtHC5icFJGoC8ctEzLjNleBbK2x8/+WvsC5awCaXyGp+kopK/cE5\nKI8EdiVHhWuaou4gYdgpmhKXlwa4NihKxzZ4I/ymU+O2Sp2srvDropVNDVAbclMoOTB0k8CA1XKw\nlJmPJi3r3kHL2F56Fr2dZIWMfeT22feU+AbkTCelqp2Y9ij28Xez1Bsh7xCJZeFME8/23SLmLShC\nFYl8BdFiE2OZDhaIrBOTvVTac1wcHOXv2vdxW+tu2ipO4VLFM3Sq3JzFsKW5vdGiVN4bb+bJ8Raa\nqgWsvbQ7QXNXCV85RNFtWgZyNGOjSRvm6WmDITXJ5LIKnqtbTqY/y36zAVOSMcwS6yujqKrK6XHL\n5dTkidk8hhf7q0kXDJyqQSovs3dU4dy0uP99M3a+tquKf3q6nq8+V8NI3M5U8hym+R+XmA0mhKN4\nsm8JzNxMJCVocG3eBuSA5WDIgTFCFz1LyF1gfXM9Vy/Nss6bokkqz4lhrfWSMoCMilfqmvdZxVKJ\nKUPnJyue5bO1eSK5HP9+4hjfP/HajdY2V8ZRJNNS9iZgOjk1BU6jyFhBzI3LJszdcTOHLuksOVSg\n47jKmfrvsOYZhYpJC0nKBmRa3f/N6HI/8pGP/Kcu8KEPfegPNpg35A8v55Pk8zmTnpOv7Muexxux\nMlwL7qXYc/1UDX6Z0Oi9VA/80+x728+8j18c/xsu2lZBlyHiVssrzlEoJDFHBnDnY1w6c4amxCgd\nFQ689ihjqSGKRQNVMfG4TMITGl0DLkwkTmdjPP/yLsJ1a5hJuSkWDZ5+JMGzjyWxZ0VS3I7TNzGV\nbsaUFIabRdKOZJSoTAiWNL3iIBHbJJWjP+aq3R9BNjS6lr+fsx23sGJsmqrREhe3bUeXLK8yjY7f\nGUEv1aIMnaJufBCAmqmDBMYlzLjwRGIOSISXcDLmo+Bws6jOauwCInTQnD3JozVreLFhKWZshtHk\nIX51+JNM7VtKYE8jW5+TWVQvYvT7a8tdvJzWWDqNat7fdISkzY9ZgtxkFXE1QI9bKESnniOdH0DT\nk1Tn+vhbl4MzLpGB314X4uJyT26j3LZza5tlaBXk+YosZqvgrHspow4RI02cWEziXAtazI9DrUfP\nnQBMNvue5a2TYn4VDNpz/eiOAjWSgXQ+tn/aSdPAn1PMWOGeStcEzYlOCpEA73XUU3A8y9bOn9Pp\nD9A4YlL/mZUEbl/K8i2Wt+XyvoTN66WxT+Pj4etQDJ0RVyVfqPnMvLGvrxLsiNmi5U2+bdFJ/mHJ\n0zy5djt/t2gnbQ6osYFmqozlHGi6FT5yyQpTMw6MlIZng6UIs2PCuFE0sWnXxHfT1/5W+trfSty/\nCFtSpBhOmkUeH7yBaVNH95/ANn0VcqEObewm3tkwH6a/tPVJrqocwTRFpcjOvpsZT7Xz24E3URyz\n4sDOXIKo6aFazSJLcGPNOS63e1kmu1EnbqZ1Tjy/XXbx3sajvG/xv1NjE2We3wtv5lwuhEcpctkL\nUzQccGCfCaGZBmdLXiK6yWBJ58SEUIQ2l/D+H4qF6A/UcO7lHBGXNZ+/OPUMNiCbK/CjAyEKJQXF\nNoAimciSg2yxwPf3VeO16xhAOA7xfDVf31XNTw9ac5ouU8POpOYTKXmdiwCZ1uAqpLJRYuoCMn9x\n+lIMwzIMChfsotj+XQDUsXdiQ+K99jreseoHvHnJM1y+KIHPq4EtTzhTh1kQ9fs7J7xIchIJBa0o\nEDKljAzpepiCqTEilThw+gXuPrif3niMfOmVitfKC9ArnLjtBhntvJq0IWEjWSyi6mnGS+L17y7O\nc1X9DDGE8bLypTwnl96OKdvI2oJc+esMN94jkDG1oACv3aDrjyn/pQS9dDpNacEkvSH/7cTQWOrb\njddtKfnH7o9z6qjw/tS8KDXSbQFKaiV5/8Z5p0vl2GZvZDk5qZ5tN9ZR4S3yyGgbj4YX0+hM01B8\ninzfj2kLnMYu2/j8iR+yscHNW1d8h6nx7Zw5l0BNhvGc2k0+ZzKYqSPpbYbpu3CEb+Xlto+xt/WT\n7Hs2TiFvks+ZPHDOzke6b2A43wYIb98oZxh1jPyAtecydC7/MnrgCPmCg7ah49i1NM2jzxMPdNLb\ncSPj9VtpOic2EL8iNv6MnOE7b+6gqRhiwxNLac9J2MuEHK1jz7FlzwPEAospqD56AxZDW1pycdKY\nTxpkqjEaJMtLtI2/zN6Rb6KlxYPcRxXPXW7H1+nkJ2ebKEbOt5IVj9yRsat4oO8m7hlZP88Lr/OO\nc0GjF6enBqUUIZ4RnocLiYxWweHxy9nVfz3DtZehmgmGfC9TrY/htBm8abGl7N+r1uB2ihyBKXst\nR/0bePOSSZL6wrDI5ROPo4wE6FB7WLToAEdukbn13P55x4wMV+PUHCzJ1NHV/FWimYtYlBZx4CrX\nKJdIpznbZXLfoUpMEy5p7+FcwU1Jy9N1tVhXnur5KUKmbZLg9c3o6QTRh/6dymKCXTWiN8DaCpFI\naJMLdNQfo1Ry4Z+D0GysiSNJEHAkmNZ1vq5+FV+5hr9jbAnRe84S/v45CukiOVMn0ZdB0tqRFJm6\nnLhHNpvOEtnFmpeEQsjO6XiXcFjJit1mihglThgZdM3PTL+L8PSjXN25nVqvVV4H0OwXHqUkQWvw\nfKhIos4VJf7k2CwH/T/X3krGsKOrEf6tMEp3mXfhajWEPXI5qaxV9hjTVGaKThJRk9VT1n3ZMdPB\nEncUZ4eXzroiQclGytRZWfkSvyyN8Zg+geLKASZyWdkrbvE7sqENgIa0VVGT08Tz0h9x8HSPh4DL\nYFltHrdDxMLTRQmP3UAGmgIam5p7uW1DDMN87Vyg81IduBinWk28aFATuBSAgqnwj0/VMxH7HfGM\nCD95K3wUfGJMjugq6grtrKMaT7n50Pnwmd2uoQQlajyTKOU6lMs7vw+Shm4YTGYzLAtV8tfrxNob\nj+3j6IkLaI9eMG9cf7N+I/X+1XNesb7L+qY8HrtBOOPg8OQF5Arn20IXkbVpxovWsYv8OYqksBVM\nFB1mqlbhyEdJhMR41bItM7rYiR7707Cy/l5lv3Pnznld577xjW9wxx13cPvtt3Pw4ME/6uDekP+6\nBMZ/Rk3/P7K6ei+bOo6z7Xof1Z4xHEqO/rPigVfzo5hIRFo+SaT5ExRPWZD4XL67E1MXURECxSZh\n3PUu1ux9gPGCiCdfvqqP1iaNi1ft41f+Ojx6nrrstwBwDH8QKQ8V8XO0D1tQ/XT1QkbEVMpair8a\nbuJoopIxs4haTLHfSPEjfQrDNBkLVqCn4ix5cJyKXpn33d9NbS7K4No3UT9ldcMa8zRQOdOIaYIP\nhRlTw2N4eHn/SRpP5+gcfIylXT2oZWWvqV5evOhf2L/pH9h5+T0Y0xaydSIzwAl9flxPtg0Q/f/Y\ne+8oyc7y3Pe3U+3K1V1dncP0dJqcZzRBI5QGZZKEEEFIIkeDjW0cDstw4OLrcI0vNtYxJhkkZCEE\nSAIFJBRGGs1IGmlynu6ezqG6ct75/rFruro1CI69DjJrXb2zZq2qrr13fXvX931vfp6TtY139sXj\n2LqMWXAVt617SO5by7eGOjk07nrZ/v4JCuk3cTaxgdNzmzlbbOBIoWneCxdki/C6k+zNeemJLO6H\nthbUAQylVzNtDuBpOc5USSZUSdMX03j/8bcz5u2mPrwDDxKNDauRtk3S2hHjDrmVLk+ZNu/i+wDo\nHomTVwK0+Nycs+4T8StFdk6dpq3oeiuOZiPanZiz29Grlcp92WH+sPevubThAQrjC2ozNJFuj8Vo\n1su9B+oYzSyOMui2SGHUvR9Pl4OnV0QQRZrq67AR2BqwWdH1My7pvp+3rfwGgiNwiX0pP+l3eEud\nzaMDBrLozlBRgD2yO2+jHtdASx3QsMsWVlpn/K5Bvq1P09O9HdV3KXLxvVw9uJb4MxtZHy5xtdJA\n18p2cESOd39pfoxK9nIAnpRPk1ddhZ50TH40fD1aYYainWX/mB9F1Nnc+iQdsYcZT/yUv9sfoOxY\nVBybHV1uW1bAk2FjbBC7ZJH47hC2ZrFXcJX5VeFxHOAJM82UrVWPz5Mvu0WjaA3c54xySM9Rno4h\nyjUFU7EVWtQC0ZuXEL1xCSuadZKOgTdQ+41Dy0cJrxpGjbppI7lq+O8Zdtfvm2YG0RrWM+zrxV6g\n6F4Zd3P3O5dW2NrZzg2rdC7pKRDx2Uiig2HBsWkvdT73d49UimxZOsn7Ny8mLQv5llHX4aU7ModX\nacCwCvjVTkTBu+i4bKkaIYm6kMTGue1IUx/j7SvuZpvqoejU5pftODwoPcxDShrdsQEPjhgHAUqG\nxv/Ys5u8rlO2FaLe2vfsn87yvWOuUeGRbPpiEsPWBJpTO0ZY0I0kChD1myRLIvvLfgxtOQ42Yzkd\nr1Umbgp8cUIiVYXELlo51LJ7vqx4UORXyPUtfh75mEm64UJK5tdDfquyf+CBB+ax6Y8fP87g4CDf\n/OY3+eM//mPuvvvu3/kA35D/vIhGBrV0cv69Vy6zdOYLvHX53Vyx7JcAGLqNpM+AIOLLvYjz0rNY\nP/ju/DmOU5sa6XIjTTEdR6uQ9IR5sPNSnkx2U7IWe2qjosO4v5m6obMICwI/A8M/WdSjfqb3jt84\nft1yPTitEqdl9kWOO65ymXZ0nqrbwpQvRnm2zMXPOIQ0jZwa4k8jV2HqNWjZTKANaXaWh45/hpAd\nJlb1CoVCL9HZWqTDqYYUJ9reRMW7gKkqUuMcH8+7/cvq8B/iO/H/gCMgeE4z46/lrP+jdydzz22g\nEl/sOc+ctQhq7vifSt1EXmskNbaevxi6m4BeQndkNigd+L29rOsPI0gO23rv5qy6GO/asisIiutJ\nO9V/6yefJ15yvdSkt4lJLYwvuIE6Xx+2dxw7eIpYYIp2UUYSBI7ObWKHv4ApXNiEU1C9eKWaQRHv\nklmXHKd5WZVDYDbKuZfC7Ds3wUTyAQwzT0vmIF6/gmMtLi0eSXs4nvBhGO4kmM4r2A4cz0W5c0+M\nZ8aipCbrETW36LDu2nb8/WsJSOcNHAtRcFgemeTd3MB7zdvYJqwlIMFftVvUB/cB8LSRplioYb7H\n7BRdHotv97+dSV8jhgd8BcclTgrU2vvC3ZtBtAk3ugqkq11gqRFFlxe3gVlYnKtESJXdkHoeiyat\nRhr0+KkQz/xygDUNLyIKh2gPp+hRFXyChFcQ+XdrkCVLv8f1A/+BXy5SuN31MvWSjSqa3NJ8nPv3\nNOCc7sE2JF4+z5ymphHMKvJetVNhzqxg5gP4IhIfS9SKS2PKYjKfUXtxqk6N5uc7LwB8bQlijTlM\nWyBoati2wH6aOefv5dQCuGbTdnkfOusrXN7/I7YtSXL1ctdgeF5Isq9S4t6D9Ux9ZwTJMukqJFl1\nOkl7ZHG3TUAN4bPWYJmHaO57AbMawVCVGJ/YKXFJ12WIggfJV6H5yv1426cpT8UojTdUwbBcmbV1\n4lW2vllHZ1SYZcLR+KY+Rc7WcQR3HhyerX3/XEnCeY2Q+fWrmrluwwj7rH1YVs2wdgR332sOua54\nLGixqq4Ne3IWwQphCzn8agM9uEWfj2RFTlfi6LZA2Smilh0iW3cRUkzi6x9CC4jsuaGe599SK3z0\nF35Da9HvUF5T2d95553ceeedJJNJ7r33Xu68805++MMfIkkS99xzD88//zypVGr+uDfk90d8Wdfj\nLHpXA9Ag1RR/q+8MHqlCIW+jVCbQDRnv7OMwO4Wj2xRmG5hr/AA/P/U+Dk7t4AcH/xAQ6G7Pc+/j\nB3mqdTNxXxRPBT568q2LvjfmKTHnq2P9sxXe+q/uYmkYexSPlkYALt/zRwh2zQqwfBdC2jqOg1EF\nVDHKw8y2tdJQBeNJY/LmjT18euvn+ccV7yFQzceNvP0zWKLExy/6HA+YCTKOiRPpJWCb/Nm5kwiv\nYoIJp2sKouIJ4SvPkWhYw2uJJuQJZ7cglXoRbBVBb6RkJNjf3HvBsVbJhxJ2PStP02KrvuwEKRR9\ndKePkULgXSO/IoRDV2iWhvBW0rNurr7Ol6DCMaLVR7W6xd2MyvYzAOid30Vvv4v9HcuxrSon+HQT\ndd5ZgqKNg02l7+/QO+5GRqBLcpd5uNRPXX4DI3WbORFweclDUhVoqCmErDhg+cAMcugyH7oKU8sW\nGEYLYBLyMz8mlj3JZc4megxXMd2ywQ2//uhgPQ8fVBGquU7bdpjNy0ScPDN5mWdPKPSsvRHBqEV4\nwhdvI1jlvD9SNY5W2qvodnpoWtB3aSrHeW66mX/RJjhmFzn+hBuN2PirEr5xD59vcQf5B1v/lOGB\nMKINHl1ElmrRBdkb5rI3zRCWakbPrkAtlSKKrpdpV+NbBh5W+M9XULtzSRQcNEukcewxRFWiJyjy\nke1J3r/ZfQaPnw6ROdeKGTrJdE5j/5gPvdCBA+QdD5otI5gGtiMQn2ggfWiARDVtFlZTiOlN9KVW\nYgfPVsfg3pct57EiNWCcOqU0zxQ6fNbiud2Lq85/nUhrT9N02Ss0BdKU6lbwfrmZBmSm1XYUpdat\nsHfo13fCFByL0IBrBKZ0GUuSCRga/+5Zyz88vViRJXIHmZ7ez7PD00xbc1jVqJDit3jWcwCraS8g\nooRdI0BSbJxSjIoxiySM1b4Ti8lq5CNfNQI2WJu53fgQB4QTUFX2glibr5ajczQd4squbra3LkYW\nPDhzDaVCP55Ijlz5NCISdcvPzn9+nsimu97gpoHlfGb9VnySClIKb8jij6+qheJHsz38+FwL+cIU\natnB17OKjkDNgEgp7+KK5R20pi9GmboJKbyYYfD1kt9YoPfJT36SSCTCe97zHj75yU+iKAp33HHH\n/GfhcHj+9RvyeyKOibdwBENtY8J3CwAqrseQbb4FAYe20Cjlko1glRlOr+AHhz7HVCHMSMcuzkys\nZmIuSqLUxoHpS2gOTnDJkkeQnCKzp4dIeSJ4LJ0rNvVy+fLFVcY9vgxTkXYaP9xH+c2XYIkFfrW8\nha9ddj0PfCKMr5Jk17Ofnj/eaH7oguEPOZV5CJXJQDMFuQ+7mvDKOib7z7mb6cuxlZj5NHZfD9fH\n/Ly00uCBAZMEphvykwMcX3YrY0tdg0SwagreV54jUb8CXQ7QlDrOssH7XvtxCiaOaKJpNWhfwQxT\nWEBb+eqMZbB/nMutfbS2jlC3ruaF3Tb0MMGkqzSGw414bINt7c9g9n4dUzyDoNRwztt6DtO4fD+7\npg9zWW83nlia+FyZ+ug0heIUJW2YccrzVfhGVOW65d+msfVhct5aOsYav4hvJBROLgAJifkiTHs7\neCZ6BavHshiyn4IWA6+CYPmRM1uwFIGJAdcrim65EAinKAlQMfnXpwp4tQCS6LCyebFXGahSyEb9\nJq1hk46IwZJ6HUkQcBwHARmp5BYcUneIqOLml1u8rpFk/BoSn5x8iHimn+2ia2AkW92oQjjQjnn6\nBTYvwMCppCM8dns7fjF4AcbELnGAiCBTtiTKhoBHcJBFHTN8gFLnMwBIOGyPu2Hf9/qfR3BsYhGH\nG9dm8Mqugn2saw1FTSTiq82HwYSHZ4eCRBL9pE2LH+yP8uCxOu45kuXONbt4Oe0q0US2liwzc0E2\nV9sl17fuoWQ/weAC6lijChRjem1OqiGaDHdN23Zi/t4ic7wyeW0AACAASURBVBneNDxIYaTlgucG\n8KZCLVokSDaVzVPM9Lrz+sPOLLJjkarbTkv91QgenY6zi1M+grEUwehiyqmuJcHhZ71utOLI5mvc\ncdoCirjgvuwFoFqDfdQFNuA4Nmr3ERKCzlDkeaTQHJHVtTkbVrYAAm2hWktuzjE5UcUbft50U0vb\n7R1EaWCZvQZHdOd3qVp30BoI0hxexf5shWWxFbytv4//ueMSPn+pydbuAQRBIFnqwBntwHFMPD4f\nmVP9rGsr01Gnk61IWLbIkvpa1MoreUAeJ6w2kNfCfH3546wW/GTLrRR1gUpAwFt0yMhR2qqpFM/E\nrTRbHsJ4qaS24k1vp2ux3fG6yW8N41900UV86Utf4qtf/SqpVIo1a1wPaGJiYhFN7Rvy+yGB1NNI\nZhocm1zGIlmqocxpVW8urKYxSnlEDDTT9WgOyjs5sfw2DrKN7JS7kVyy5BGu7r+fgdhRPvW0QFdx\nhoRahy4q9NoV3h4VOGRuIu6/GBOZ97Uep7RsA3KDyrK1E1zd9yDfWPE4Y/5uTFXAUKASquAorjcp\nZTctGnvf2R/xjO2G4r2ITMn17DZLpC1X6ehKiaEFXnnGEyTa7Ho5kwY8kHan82h1M5pov2z+2Mbk\nMVLqKA2V76MaeY7Vyzzf1MmpulbqU7VNtSF1grXD99QGJboKyzZrWkQwQ+iW+10fXrOeL+90Oehl\nRUPtnsGxJVaeKBLM2IieWpXxWyf2UJ+fnn8fMQos1Y7QftagrXTAjUAsKHbKLIFAXYbksy+hhItY\nhsShoYfJnVxC5ngPodhzXDntRnFCda5X4oscw/G73u7NUjuHC1tIUcc5p6aIOyQ3pWEJMnvW/xFP\nXPavVGwJWdLA8qHMXQ2Ow8HL3Fzmea9r/lliYIoSKX8LHlPgXKodv+wgvWo3EY0MQdVidUvtuxsC\nFpbj8ELOREcHO4ZjS5hCjpyp0uwpcs+qZxGAoOMqvymhVgTnwUPebGCN7P4egxtcjz1EGCU+iV5M\ncX2Vr/3F9h2czl1PxwL2okoVg100+uks34hduIrdpwdQijfRF5nFaH4EO3garfPbNPvPIjsWzZ4C\n02mRejMFisLGjjKaJeAAZdHDoUmV2IJOx8mM+3znihUS8SW8WnbHFSTBQEFnYXWMkKynbAjM5Cwq\nsVr9SZvgwawWpsneIhnH4KNtg7xr5Ala5g7WLjxXobOQnCdWWigrs146yzYb9RrSo+W1GL/oWfyl\nUbbu/ltuOfcEDU4WMZhi89w5ZnZGEcwOSoXNSMW3ImnbkbSdlONuWqP5ipdpvnI/olejNDk0f91P\n7pzjprUZ6l5Vd2JqDo2BAgNN+xAbRrA19zlFtyyu3BcEGW/QQzznGjhHpts4UXZIOSb/rE1QOB/l\nqEb8FGQyjHBMs6iYAh5J4DObNvOh5Q6C8zjJoLtGMkaScGAOtQo8dWx2HWbZfV3f2IMSyXPz+gwf\n35GkaeMU9x37GNM5t7Yiq1X44YljpPU46cJKHjh5G+nUUtaLQRQ1jpXdjeYXsZQ2DE8ObxU8LDk7\nwsaW5zg8vZ0WZYigJwnW4tTL6yW/Vdnfcccd3HzzzWzYsIEvf/nLyLI7kTKZDLfccsvvfIBvyG8X\n3Sry1LmvcirxMJLhWr+O5Ceftdgz/pbagaKrNLd07GaL5HJoV8zF/diyWSI7USTmn6an1c1P3jm2\nkaGcTFt5jllfFASBlcUUzVOTLG3rp6EcYVpqZEtkmpt73Ra18XKYtoCr2Dq9WUxL4RcfDvPE+4JE\nu/+Fn5oJpNJSbMdBc2yaxD8kuwAPvU3wYFNT3ACjFZMlcy/Qj2sslK+4leC6i8mY8I6zCv+ekOgQ\nPOyQwnT6axvIjhe/SN+pf0dJPsHWPU/iAMcDzZxo6ODJzlVM+7z0DT9AbO4QFx34G1pHn8QvzKIZ\nSSyhQHmqAUwv3vqDyEaOYFHE1iXqGwyWqgojP/4WK5ccZk37cS5eWkfDCdfrNJER1ZqyjwdiVLzn\nscRhS/Ik19w/yfaHS3QMv0gu9zLek19BWsBlPtfrJzI6gRJyN05br32WfGkl8aAPQZDob3ALm0RE\nWiKn8SCgWF6OaRHAYcrRGa+GQQVLwSOV2dj2BBXBVcQGNopUQbB8CFaApWZkHgEsevRDfOL00yy1\nslSaN9OWd/9+sHU13RWbVEnEn9MgtYGbBpZihdxahrG0hzqvxZUDBUxbQLNFWsPu8/jSqMG0k+af\nJ1R27L+Vq195N+fKdTR63PuMWEHCpdVknQLPKfdjqS9geZ/iTGI1pqNy7ngnsubuRYod4FvK5VDR\nceZm+at+PzGnwmP+TexO9zGScLFAfiB/h9PqYzhoCHYDkhMhItVzRcdaBFQ2NsAr05egWx6syGGS\n/kGea96AWCpwOu6lw18iabjrpTlkzEd0shV3HIcnVRJFiWerxW+GbVOaWVyMJcgm7RtfZmvnwxT8\nsyyMC/3o5RiHExI9DRqBtipMsSBjFPygmCA41NXH2djxS4bbH+Wq4pOcXFE734qXCBg6glhbRxef\nihI2BLKiha7bmHN1DE1eP88LAVBY9m+YMizPDVO/5MdYA3cydmOOiBhDK2/hbHI1glMzduW5xffk\nqXeNKwdYkZqkMphnbXuJnrWjvGXXaW7dVEtnrWp+lrXVyMla36/Ppxtd3yOydQ+NEVfRxoutaFXg\nIc/IJ8ABr+NDrRb5+Qlw7+CVvHT8T5nJN+CVLRwhj+KZ4EP9W4lLbtdMvKRwIr6RrOY6qaYTICTf\nhtdbhyIFaN58en4MwfJ2SkaYgMddHw8NDnE0Mcdoxk1z6FaAidQleAWRpJgnWnZxOC7u99EUewy/\n6u59pWyZWMBkJu/lmbNTzGSeBnOxEfR6yW9V9oIgsHPnTq677jrq62u9n6tXr2bt2rW/4cw35PWS\nidwrzJVOcXzuZ5ynQ0nHbmZi1MCRw7/x3MbANLdu+Bt2jvw9/bnnMWU/CamTtDrGXrWFYv3l3DXt\nRnPCeoFZX5SOkEKL4haKReL3IjmPMJFw4Uq7fe7Cb/Pm5znh29US9x39PLun30HejqCps1zd+2ME\nM8wTdoa7rDiFoEZJr7UBhc3FIeG39QeJGklCVp7mvJvrf0HtI2MJ/MFobeNqEd3X56wQPzLniDs6\nGcVLnZ5l1/GjCKqItXxxLvLRJeuwk/uoz54lselWsrLC8NwvmUo9zPTsc+RO9qAXTW5vinHtgS/w\n5vue4iP79nLJqZMkJw/jTYyzbn+KYLrElmdsdpyueo+DjTiKw+rsKB8sxxmM1rwqU5QwhNrym6Se\nZPkExfIo/rFdrH+6jKw5pOsspGKFZjPJUnt80bjNfABbkIisPQnnqWPFCkXfWToElYp9/rkIyILJ\nbjtJRdDRDQ83NR9iedNLaPV70RwbC7CkEk6VRq1JqKUtQpoXUbe47sR+/jKYYaCUob5S4JQfXon4\n0M0kDaUUgs9gQ2MXWhVv3XYEskIAw1b46Inr2LX/vWzuLOORbLxGnnedaOOuaii7ZCucKTXQrrpR\npZjVRIsUIl2KEC734CjD5KwCL0/scp/XqTBde91w9anUAE/J7ZwJd2KmZhEFuLGp1qZ3vOR6/zny\njNuV+WjNefHLCrtzAn81IXEqs4wXx96CbYo8FXcL9npzrhLoChZI6H4MWyQatFnXVkbAIRZ05/kv\nz9YR8yl45drvmk8WEUUfsR2H8bbFcarGXnNohIb6MUSPgb9zhvDKIaKbT7A/OsL39GkcwV3JNymN\npLMqguiw8vLj2IEyQoOLg3A+qnFenrxC4eVrvAhVetqOX3RQPLUa/5RDIgffOLWEJ075KI6GeZfc\nQqPmhvUrkRwzS2X6K6MQqXno9URJkyPvxCnZs7xScWsZ2uwuJKcW3nbs2ust8XPIvzzHc1qaSU+B\nl5wc9Y153ldV+CemfYym3XnZKC4GkQq8Sh0lm/cyalcYL62e/5sZexoQ2WptQhQExsoQJMjmegfH\nUZjON6LbdejSEWzfHhQpzknhOPvE53kh38y+8TeTqzSim7W9RlXrXBrqqXfx0sSlmLaMkbgMcFAt\n17Dxet2o6MtVNETbE6ey5F+w1RlmCnMYXXN4bIj5zwPtpCkNtyOpPv76Vy3sH3WjbTM5C0d+/elt\n4Tco+8OHD7/WR4vkyJEj/8cG84b81yRRcjejRsfBrJxD9y7hxAkVQ3fIl90NQfcupWRcmAMNBUv8\nxIzjpI/ToB2d/7tYzHM4+SjFhqsIywYbwzNofj+GqHDbspBLgSlUkdEcOH2uVqz3b+PrkYRaeHKd\n37XKxzKrePDEH5DARFSnKZt+xqueeyoQoLQgr6pVQ81hWWff1u8jHb4PqVqYcz4WcSCn8uUxD4Lm\nJ4TI5xtk1guucfNcRSKPxUNWis+t/QC6KCNoJsLGZuJjrufzrv42/FWmqye7VnG272aMphj/MbCD\n8/w9ZtXo0CsmjuNg5d18oQh0zsSZPeta9LLu0HnGpHBkL+F8liN1fXy34d08cPBzXDw+RGO4nrEO\nt3e7veBufDmPbz6IO+53lWuuNIyudCBaDo4IhYj7THbdW+TKoVr+v37zCRBs5HABNVaFsi0tAUlD\nE03ap2wMS5hnQBFEEwSbGdukTVRRcOfFio7HeIxxBCwCapIOyfXgnHJX9Zpd6ErNYCz9/N8QDY2A\nUYu4AMTkCmlxEFkS6Qu5hl+dz+SzF00wp6ucLMYwkRAEh5aoBxGbqPZrYEOr86ZNUoh4TGLBg3RV\n3Er6dLkJzcwRzz6HIXlwphReGr+GV6ZcwKWhUAfFk68A8IFGm081WfhEnVMVhwIFdHSef2o5SdPN\np1qeI0yVFEwH/mRcZk+1DmM8t4zUkfVkzQBRPYHqaHxiS4idDTMYjsR9syu4cnmOm9dn+Mp1MzQF\nDUZTCiUDcIJoprPolqKBpTRaq8EWscPuZ5Jg4gvnCA2MEhoYx9eaQqmixhWxCSNxTWkJ6bxCfKgF\nO+0jKbhGilmdNdmYO97/yE7yyzPjJDpkxpZ73JRP2UP35DhFfwverMjYqVp/+R8cuZsbn3sbB858\nwi3IBF64PsDoCg8I0HJ0FTgQcxpJOGmaVJFvWj9mT9AF4Hrv8tW8Pfl+/Cf8BJwgcqBC3bozSKrO\naKiB4dUKQwtaRR/VM/Q3WoS9JifjKj9+4TzrpEJvtdugWfBwlbLYCE+qYzxkJCj01lA87eAp5Lmr\nieQux7RhLO/Ota2hIH7JwrTKCEKAsZLr9TvyNOvsDUzIL2M5Eo5YxlaShJVj8+2s9d5LsJUkQmE1\nR2e3cSjdjYPF5liKqOzOPVFqwSM3oFnuOrWCp7BDpyg0fRO1cJS55Q6twwsK78QEN3jfjFFx9xdz\nQevumbGaofF6ymsS4Xzta1/j+9///m+9wD/+4z/yve997//ooN6Q/5zktGlUBN7paQIzS1wMUCy4\n2srQYa71DynnC3z0wSHWBS6h3lEZMJZww7J7uDeXwA5YyLpD2DrKzd4vsnd4FwNDDzOYqVAs7SFn\nxtgcmOBLKz4EwBX5WZCh1GCgVmAo34zlKNx79i38pCizMuhWquZNhX2ZdtaF4ovGmyq1cHT0JuoX\nANW8XL6YUwNuuPXvj97JXZdcTr9g0de4n5/OLifYlCAw6y4Yx0jRWR7llLcduywDZboElUyu6sE5\nJilbAGzqfTPkKjH+ZPNnmfC7lcK7Vh2FyjTUwac3ruHvjrjGkuCYHMzXoIMBfB0ZyhN1iOU8pWQN\nhvWF5l62zQ5Rd85VtB7NobTiCoi7vdWPt2zGa5fpKKap3/QmwhftIvncMwBsnBthMhjl3ur9dpUy\nzPoiqEIFTQe9BAd2+ek8pTO+TEHzCqgVB7VSUyJKqETjzsOwoBjKEWttR57nUqhTc9zUGyF+cYXO\n6GH00RYiZ3ZC66Ug1Taf/o5HMePbkESLPt8USeDY6E2ovk2IegNbPHfNHytaNpbooU7XWAgns2yn\nnzq1gm2P0esXuP3KGQKqw1g5zC1H3jF/3JF8E48pW5j2hlhVOEpCXVy9fXurC0qzXmkGDbzecWIU\ncBwoOhpz2efRzSRZqQXJMRlM1uo+MkoQM5tCmx1Dbe7ijkabkdwQD1dW8D/GDcKZfhxL5n7tKa6W\nruGVyRX0BjTmWNw6CLC8oYVnkgoxO8vOgTTCbJSLVgwTlDQemB3gfa015LzuqMHec34sLAzdT8U0\n2NSq8quEn7n6TsTmU/RYMZo0k7GGap5Z0hAE8Db/+o1fw+aHx4L4TS+GLhKd6SFTvxitr1JXZfBT\noBBzOJ8S8NQVkHMKzeUcLSe+xRE1uOi8+/q38RejuznWfwvSqS9TXvWnABy+zIc3E6LnSIX12SbU\nrSpxaZynjsZpurSEDRyy97Ne3EJXpImbw9cSNXu5b8k9TIpZgr3jPK/10HBlgfO1CDICBUEn7pRo\n7zbJnapV+z9uJGku7eAjjcNIQM5Z7IwEkChigVwAywNVtkUpvwIlCkVTYqoYJMk4DURp81c4aRVQ\nlSU8fe7NyOL9IDhc4m0HT5x7HA+pnq/heGe4VtvB2bkKQ9lLKS//AkhlnJGPITgm+4LP4G0vsSl4\n2fxYDFugLtqOFJ6EfBSn2jkiB+doXpYnLMi8dVWV0MkCn5hjRTTMmi6VuDzJ3HCNefHM6Rm276i9\nf73kNZV9pVL532K+ewNJ779fikacgeA6qMKmvlRUkKsRssZWCeM7/4sjkyXyaz/IHq0HPyLNcowf\nHv4M95kzrGt7HEX/FRnFoalFYt0vvgXAmr3A3r/jLT3X45xJwcBm+sU4Ebke3e9DKx8hV2ph99nb\nARirhJnQZNZ5XW/YdhzmdD+NnhKKYGFUQ3+PnXGNhklKBCWNgqVyKlHjWDi98iJWdz4P0ixlI8jf\nn9lOWE2whRcBBROBgdJpBkqnea7+UnRRZczRiI3sI9ag8Ewmz1KlnvaVCda2uhW9Pz32Wc4ztsQt\nkzZR4JnQg2wKbObNpRRP+BvwyWkGU4u9TbUhjpWTMSp+XjnyEkuBe/q3kfYGaa0bY8lpNwftLTl8\nOVyPs+GT/HX6aZYYQ/gKCSKmTt3FV5Ou1NISjeXFBsWY380hrtLOccCzAidV4Lrv5MiFFMaXexhc\n52HVixqlkIC/a5rKbAOC6CB4qvl/3YfjKeN4a8V/obi7ca5r2s2pqOvleJbMsPOpe9jXtB1ZHCRR\nbiRZamNJ/XEkwQIHuj0WL1av4cvU0dd6nPZIgvNPxZT9mIqf9Zlh0v0fw7LL5BMPM+1rZwmT2L49\ndGprCajuZv9EsnvRvX7iZI2iNV01vj7imcXvCfKWdg8BtQowZEdx0EHM0hCAoiZwXD0MXAq41el5\nTy0c6neKZKrv00/9DG9XP+EdV7O2vp+Hp2FvLsiVafc5FzwpHp0Ogi1gZ1M8p3UAFre2HOPikMYn\nzm5C90bRBRWvXeGIlGE6rfMByWSTcYbd1hoSuo+Yp+a9nqjo1K2dYrTketB2SOeAfilYMD7Vwpe3\nfp+PntqC40nSjIuwt1CyJ7qJrByZf6/hoNalSY+3U7/xJBOZEKGKB2cB3LJRTXk7ooA3D5UFxH/L\nprT5aoBEpemCnd5jmwRNnSue/QyZgyK/utV9do1jEo3Jo7RdfBumpXFOPYsSqSnoNCmsSgnJ6yda\nZXGMOY1MMoGvNUUsprOwnNOHiI7FT8w4tIO/DKXRVoy8j0KoTMF/hPL4VczUP0E0eTW0up0x72OA\nkFLk26U0plLCM3E7+hJ3X1qqqHglh7whk9Y93G09wifF99DqK7Mk7CNvu8bNE0PvBECVS6xs9GM7\nEo7XrUPy+yZpDcmc1aagii+ht/1knr64Uv8SlnHJPDpfxRIRVvwIXS5QOn0DcthlCW2cNJnr0ugT\na3NxwtTpV0GM/JT3S+8lRZKvOi+jnPMgBUus2XIhpfPrIa+p7L/4xS/+b13gN9GmviH/NRHNLJ7i\naSrhLRfuCq8SwypTMbM0yvXzyv4XUw5b9BM4YheJxn9mZDjBV7f80fw5pQWFcBaQS7Qj6BKzssFo\nKM/6V33Hvqa1JLxuvcZnu/djK51YvjRCRef47A4AHEHDN/C37Dp3B92a2+sbz4ZZ6Zlxc6h9P0Lw\nj3Dv4b9cdO02O0TckyCj10LFT3iWMXp0M+9b/w/sGbmRqJ6gvpSGioIS6OMVtYdNKdeDfqtRRKPA\nMSvDprP3IpyFO6rXueuSTgrDbeiZEBen95JvkhnRl9FozBFpNBEEOCC9TN/2FXAY8t6foVcLFlvz\nWaZDEayKhxalk9OFMtm5WQxBJK0G8C+ZZn+fn6EeiY17ctTlTVacyfGzzo08UokRl12llZU9OJZF\nRqspe5/16wlClp1Lc2RARHN0Gpdux1/fDDzFmW0BOhIdTEcnCPW7/8+LoEdwPNlF19n+8yJVbg6m\nehUadS9PHryGtVsf4MW3SPQf+gwH1yl0DaqM+NYiiyaddafYLIbwlWuRgtUnv8tg+A62L92NurIO\nfTiPVKkQKM0QjNh01hfoqT/FQ5UVzMZ7oeEHWLaM6hSxHAdJEDiUf20AkSmxCcFxuKxJYSDiai5H\n28yM9BQxrZPZYpmWqlM6k5MZKYXRTTcFMhtsIWelCJo5ClIIW3JIqe4cMlJxjFScxPY+/GKtJ10T\nPKgYPHnu/bzdWoYZPoCjlxgxRGII3Nx0lkY1R1jayGOpFhAENvZMoDQliEXdeomgLwEa3HL0Wra2\nPMeXW+eQRUh3xnlu5CYKgWeAFiapdcEAjJcCHFVXskV55ILnMDG9HjVdW5NaKoQazdPSruDMiXjq\nC3jqC+TOdtDQO4Uu2qwU/Zw4304p2GRaRAIZm2KdG9o/0Sdw8Xu7Sd0zQs4KIUXKXD/3EuPFJRxs\n7GbWjuPX3GcZSdgIpoIjG7SPTxJa0o+3vYfRwd0UVxSoX1/tP3fgcvFqWAx+hy3Uxl5UFrfr5V/V\nPikq7sRMvbSa6JbjKOEcU833I+XWUkxeDK33IRphTCJ8e78XSd2FWC/wjsYKPwIER2BjfZkmr4ej\n6erksHzMylOsrO9kZf0GXpiFwwvIWDXTz8HpnThSzcg+7CQp+i20XtcZELRGHHWxoX9EPMTM2NWI\n8ixLmx8hXaUulpf9wv3aioIv565la0FXxSlHo78K5uNgEqWBK7orvOyf4UDmUiLeFizr17OQ/i7l\nNXP2v43x7vz/FStWvNYl3pD/ooTmHiI89zNkbeq3HjtXzddHyyJ2xeJrDy1B13zYug/bP8SJOT9/\nufFTF5zXEB7DVlzjYFBfxV+t/xjT3TKDToVSqGZgPLjsonlFD1AQfdjqQRRthJAwRUF3J7u21IXI\nbW5/EM0Mc/eJ93L/kWVsiLkbykfqK1xR6WBVxa3xaBM89AgKfkdZpOgBRi3XSi6PryCTb2ZD/gDd\nZbcob7fSTEaAfXUupWW68DKlwiv0lIcoKCon6tt4qt2dk6pYoHiuHSPtXj8UN1lTOIYtKnhW1EKi\nZ6OnkLwVJqeZZ/k60rwMR3CwUg145TBN5TTrEyMYosyLTVcR6nMV7jPJt/M/Bz5FVgnwzpEneevE\nM4zItcIpybYY/9e/IlFyNxpfNdft+bUKXyRgQ8UpE73kejpXb6abEB8wP8rqaz6I1tWJYKlg1wqb\nXq3oAfZf40dX4VfdayiFRerO5vmsup9gyiIXkzi4yz0/luhiq+kC2/SZTax5WSf+jdO8ae/nuXzP\nH9GUPIoy7UYLfP1BMnIHIjZ1uXOE2ixuWHYP5YMjNEZ2Mldq4c5ihqN2GjN0hElH46xVYqQcYXUw\nzmfq9rIicCEm+Oagw0Ck5hWNOmmerxgooo+5cq1qeSyjkjlea2NLlo9geEw25F6hUc9i2yqHogMk\n1AjfX7aTny3dhFH2sSvisMHvKqNz/l4M2UuDvtS9Z2WOES/EMWgTVCYcDUGEblVjRHN/w49FLiYi\nSrwlUiFRlKhM6XQ6SUpmiKcnruP/fjnKP+0PcHJuK3PFLk4lLkKQLPaXOgmJaXxVxLhPnnT70P1K\nHsUKISxosXxp5k1MSDX0Pm22geX2Sj7ouYX/cdGleBxXcYT6J9CrlfYn7Asrus8regBHFtCbPGQb\nRPSVGWRPhZlemY1zbqHYiZ46thxyqa0rkoL/yF+x5MX1tJ81abzuVgBSg7Xq9MzhPsLP1bgzktla\nIZ+RrON2ZXFvf7CwWC9sktzf+LyyByhN1AxBwQwhIKKe+zTq0J/xZLIb2QojiZuRM+tpU1q5w/gw\nt5p30Ox1n0e62ronWH4elX6OXUV9avKr8+t4U+tuAopb9OkotZTJMafAOaVmNMupGkVu3dm/JIaf\nQeEMZUukOXKMpuaXkW0FkVr/hFiSCOZdpR2oRi1HB5NM6BlG81VDpEoP3mv3E26ZZVbrJhH/PaO4\nfUP+G8QxqZv8NmrR7fv2lM78xsMrZpax7At4KgL87U+Z/fop3nPyES46k0Qww5hOkT1jN6FJ7uK4\nJrEbgEZPnrf3/wcfXvMd+lU3rHU60s1slaHt0Q+G0MMKx7ep7F3i9iiHdNeqndYX5//yWhhRHcH2\nuWhXjieN5R2jotfTGL6E+6bd8/1IrKlz+MsNZ2lRymwVQww7BocWBP06IovBWx7PXEm9UWvbiXua\nKEturLIkBRjzLoY3PV3XxtMdKzkZbUfz+7Eri6uVATAFKt4QllILhwqigyeWxSq79y/LFqu3/xxv\nQ4bSXIjpfJaevFt34Ld0CrbAL05+jF8N3sqo0sloqJ27eq7DZ+vsmllMIGOJEoYoMZ52WeVuO/08\nqZjIB0/WAEP6M9OsSk4Q1Qs0lnNoZoqyrjPHLEGCKNUK+fqWVTi2glnykD+6AseqKYwtj1U3f8fB\nVAQe+liYzLVlTI+AL2kink6w9dGaghDz/fS3NdKhy9RP30Jo4ga0cwWyoSX4Kil8lSSiY7H1wN9S\nGcqTeXCCkc5d8+erXQFGDiscin0EVbS4tH0ESS5yqXqjOwAAIABJREFU0Crwip3nQSPBY2YKlDQX\nS0Nc9osH+fOGx1nf9iRrW57mg80v8WftSb7S4W6WZbPMo8p3+Zl8P+PeMZ6QHuXh4Rqi2Uz+1wch\nPY5BZ+EcOgq2IHHv0kspeLxMBesZz00iiSXCcbdob9LbiTe4kxASPzBnec4MMKr7sYHm0DAvCWPs\nNbM0+Vyl0Ks61MmwRnRzsT89HgQEPtZWM7aOOGs4XurmZNyNcNlFL0JQY7DcQEfgDDv0p9nY/jiJ\nKk5DkzfNdKmJNcnPc5XUwAa9jhs3/BMbtrneIqkYRt7PtdYN89+xwl5Fg7C4cn2hKNWuC22u7nw9\nJgDfnOvnhev8iN0ZvL4iqRYJ1TJQm5MUrBAjKz0UZJW7l19MuvIQjQ29SH53nGPT4/zI34dT8iPm\n6tES9fS092I5Nl/Zt4fRwz+f/x6/rOARROq0Wri/EKyhdtabEpukEKFyF61K7T7CM848roQdehlH\nLNGiSy5oVb4PMei2dkcM17CoJ0psQcTkXJWHwjN1E0UtyNeOufvbVOgpyis/R0/DAVY2H+DypQ+i\nSiUq3S7Sa0viigufYfJKGrMXIc9dia614il1kBDmKJkiYaVCv+THJ9p8wNPKJz3tvEmuoy5joAdE\nFM2hRfJgJjU8P5lh2Ssag2l3n0pKwxQpstxZSdgJs7LpBU7Oxi/4/tdD3lD2v0ciGSk85ZrFLOuv\nPSl0q8iDpz/NaPZ5Lvvp4lYiNa3jGGEyiZpifuvsr/jw0C/5Ys9u7lrjbiyCAPVamjrN9TrPJddz\ntRzlY2o7/i9+gf0bWpgVXIs97wkCDqlqn/HTIzfwyOnrKBqNGHIBBFw+eABRBytAGZv/d+wiNFvk\nbMmNDvSEC7w7nJ3fvC6tH6VdzaGIFQIedxxCNfRXsFQ6K2OYssBYsIMTgdW0oNAZcCMeo76lZKUI\nbx12N/OT0dpm80DbGpIvui07flsn2D+GUEXiM4OuBxAubuXk7DaCdgRfyPW4m0tZoo7rgYaWu15Q\nvpRBst1z7u3dxpXJx9FLfuKFJeQVd1GfDruGR0l2DatW/FzZ5kJlHWnoYiZn4KOCINpMDshIjsOm\n+DmCZpmrxo9z2ZSLC9BYSOE4JqeLkzwrPcMxpvm2/L+oUMErCpRnQyRfXEkpHsSaqHlasSkT0XTw\nnDcARAGq+ceAIVA/HSeQqhkHXaJIe+UIufE8+twWXpiaZc4I8fzWr/Dy+j/C8daUa/r+MSxRYapl\nByV/I8EdjYi9MZ40P+feq6/CksYn+JjazgfUVioLcHVlUad191EwHaznT7Ky6QVWt+zl4o793FQv\n0CCDI5QQQw9yiprnf0w8itBdQ1WbzV+o7Cqia5z5BNdzU2ydfN8KNrSXCAbgiv5hSuqD2HottPy4\nKKDjoOPwy2Qf+3NtCNjUd/87hmjwipWnpflRtoUqvLfVVVgbxVbKjkVcLiEFiqwI1J7NBN0c8dZ+\nB130IHa442lU83hDeXqjtc4mWS4QE4JkLegRmjm3gI/gnfF3sHR2B2Z+QfIduMJ+M+8TtnJt5W2o\nTs2ADRsqISQM0ST50goyx3q5KL2WQ0PvIHtkBZd7AxB26xTEOoN8VOL4dhVvYxpb83CyqZnJpi66\nG5pIlyHaeJjWO/4cgAPnBgGBXZl38VnfR2g0NdY1NTGcyVA0DPLlEFnNXTPBkMWEaZMzQmAvMMoc\ngZgZw5IhpatYQ39KIPte1nTmCXpMuGxkvvvCVjQ06SlemthLRtuPWG0L3Fg3xYamkQt++2MZhUqV\nk0E0IzilBhJp2Js7wTH5AIgm2dYf45F0EGwqjgCy61jk47t4p70KqeCmeCJ6M1s7fsWbgwae2bcD\nELVbqQgVDDFFa6hqBIoe/IKEKAisk4LctqKVa7f08PFwJ62iSmG/2/7aMmJwJu6AI5GTz7Lbdqtg\n1trrWdvyHAN92qtv53WRN5T975GIZm7Re8l4bWV/KvHw/OvQ3OLJ01VJIwoCgx63RzRq5FmeHEIs\nm1xeN0pEdr3aoiVTN5nhO/u+QlM5xf7Jq/nW4PUMlxr42qEAD538FLkFMLF+0SBRVfbDyVWM+kdB\n8CAVVyMWlrGutIVPe9oJ6o0ICPgFCRWRGS2IswA8JKaYzNgaIjZ/M/AM96x9ENP2UtH9dNcfYUO1\n8AzHIWTmmJI7mQ21Yokyn2s2+FDPPj4Ys9BFlYg/SmcxTZNvhpyn1vqSWMDV/e5T+9g4M0r9+jPI\nwRIdvS6RSsjxcC65nq2ld/Een9s6+M6h/dx86CgdZ3SkBYA4AUOjIsokq57PxZk9LHSjJgPN/PmG\nT/FMi8uBvr65kaUNbsXtiy29jOkRIkYJJ1qHXe3D3jY7xO0nn1/02/Vl3AjJw/ozjImusWEIBseE\nw6iOSmmyllJpX9Av7s853PiNHP7jCxgFqxtpS5ubxljIRDoQmCX3yymebliOI6rUh6/h+dV/D0Ay\nuopcpJVkfS0UW/S34EgKxRu3Ie9sIFepjcP2TOGRXG94zK5QXFAT4lWKrMieI7R+J2f7aorA0jch\nOCEKnhex/A8gSTYBR8IsqWiJCKoextua4N7DIfZldayBQYJ9i3EGFMFtXfQ6Gn3BQ/RGBzmlC2xf\nZvKpHQmm8x38/FgYxTHm2zYBTjuLQ+CyYCNoInbVULI90/T0/gOW47aiimYnsraFa5d30LD5JHVq\nme/3mPxd54WpmIrswwi4v++SQJ7I6mEUSSesziFgIYga23wBbow6HLDmyEi1tTujTlGyTDpDwQuu\nK2k7WC4to93pJHvCTUNMDLUwccI1MhsuOgm2yNRMPxvnMlykrmSrdx2eakppW9NSGpwGrt74Bd4d\nvYKPr99ASohy+dtu44Nr1tHsD/DIsTbEao3QKd1CANY2usVkf3zFNUS9PkZzbtroUV8PqUoZ07EI\nEWJfugPbP4ScvBSh3MlV5rW8r/Q5NpuXs9m6jEx+GWb4EBm9hRtWZQlcchDhVdqn6K9GNOueBCAo\nm2xptljW7M5DWx7Gll0G1tMZN9piWAWS6j3MHXXXflycRqnmyyft6j53II1Z70bcLtFXITpeHjnx\ncdSRT7M1t4ubAyKrm1/BK1fbbM00XVWUPb3jHkpimVesPP3iYgCyV0v5cJqZJTL1cRv/mTnOagJe\nscxQwt2Lttjb+APzc2gz47/xOr8r+U8p+0QiwZkzvzm0/Ib810Uy3YWUXPInlCIXI+tzNfYRW0c0\nsziOw1j2RdLlEbwFG9F0W24C2xt57Nb3YKzaTIvhbmbni2PWpg9TV92bndEcs/90ivzeOf6voZ18\n/OzPEIB3l1ygjj2ZLu449lZ2j13YZVGvOhzON5PXVWw5iRU5ME8yI+XWsKPxJLYjUDZrirZTUIlr\nAZYFauH4K5c8SVzM0lCtZvaINrdJTazI72QkvYYzJZ0rk4+ztDyMhE1JCvDNTj/7VxmsPXA3Kx4a\n5bbGCh9vnePPva43KDYurnA/L2GthM8yWLNXY72vh4atx/H5C5T0EH8/+CbKlpdXAvczqA0uOm/b\nI2VuNbbytpUZZNEhaGqUlMVpgfP52KiWZE3uILKSRvNYWIhs7F1KzLd4c9g5PohT30ba6/492VJr\n+RpZqTC8xoPs0UBwyJ/uRovXs85yjYcUOcKFDpapS7i0w93gPecZzhzXlEpFPdzp3ELZWEy0EQ27\nHrC4UAlP62A5FH4N/jzAvhVf4MVNfzFvpJW9rtH3nH+Eb+vTPJSvPYuB+uNULIejBYc91Tk8lFwH\nwI4lD3Gkaz2RbW9mpL+GmNZhu1GPb+UOzCdBS46Nlqgjc3iA6cPtiLLNOTXDy944nmiewJIZwGHc\n1wWCjCr5cGSVlsYCF/U9zMbun3Fl/108Md3NZGYlj5x5H8dmWxCA2+VmllXTIdoiAmcX/Cexd93i\ntI9eR1rIUBCnEI1V+MzlbLW30yl0ECBAMbCPhL+Witma3ctGpYAmhTg4cR0AOV+t5ubaZd/hpr5/\nAwECVTS6w7Y7Z2OOG5reE3mR8Y5nuX21WyKrCxcSRQlDy6lMx5h9ajPlyUYo1qIAAcXHu/p7+eym\nLfT0anxT/gYV3DlyQNrP+8w7EBFZSi/d4TrWqmuQRFcFhDwe2kO1dZuVvHjlxamTc9kMr8zWWP/S\nWhnBkeh2eqiIGogW6+vGeIfXzypnDU0eieVSN512Ny/ZcfSu72AEj19AF31epLC7R/hzDVzU/kuu\nlp+e/8ygxD8J9yNYLSS0CglNwZby5MJ3kR2D8/xaI+ppClWETVvUSVYiHDX6sQKnESqtvDx0K+Wl\n/8iKnrtoaX+A6fALTBQ62GtkUGV3P2rwBolW8TpK/mFOlkxUBLrFV9HyOrU9cvKwu+ce2biTTERh\ndXICXcrTJCqEYrV0lIRExPzvYb17zWr8hZJIJPj617/OyMgIAHfddRcvvPAChw4d4uMf//jvcnz/\nvxKxSvBgSWFMTxOCYxBMPEwhdgPh+E/wFo5wsvX97Jv4Br78/8fee8fJddb3/u9zzvQ+O7sz27tW\nbdWrVSxbtizb2BRjGzeKwQRIQoAfgSSvm0vITXIDcQgQEooJYJpxAQtjxza2LEuybPW+2tVqe9+d\n3en1zJxy/zijHa0FiS+XS37J6z5/7c6cNs95nm/9fD9fjdu+k0JbuxlBP4K50kpc8yK43DjkPjJa\nlgndsGyteoYNqyRSvTC2d5zDdzi4/nCaw+Y67rX6qJLj1CwXobSPq+VJlqe7OOS7FlkyFnijLUGr\nW2V/uIJ/6PoAtYIJIddAsfIlhEKAqmIt3zsSYDzhpaGqbEPWC1YiytUh2K+uW8jN4LOkMRc9oCUI\nlKoKWkspjYTJS7tNRNc0sn3nMANTsdO4bWbEEohLbIgjTCroysIlfetIOYS6I7wKk30n385cIiMb\nKQdZdfL97vvoSF2kSluo+PQX36BF1ri1IkRFNsGE00/R4sZcMITJLa5xHJ48Uz2lCEwRQKfCXY/b\nJHAmUgYe2osyoUyKnxdtTEytI7p1FPOyKW7/dop+Vx1nbjIE4A5PPZ66YZI9LayIXs9WVyvnxWnm\npCiNzgree7mWV0vRO6FgbQSnIPHcQ272DHwUdHi25w/4zNQPGLlpGgSBqXoJiwUubigrM+dIgYIo\nEtZkfkWZOZrJMEhi3ja8yWGy9lKuVIygZKwUxm5Fkor4xH6cln4GZ22cmvCT65zEk2ng+PjNtAWM\nuR96Vz+PXjiJsPyy4SoSoJK46QypnibYHmdPYRZd1Od53eWkE12RcLVMLXiu8WADqiWIHFYxKXEq\n7IuJqQe53KXDYU5TjN7K61FjDSqqES0TkFiUOsuAcxGKaGZxto+t7m1c1HNQKJFJiTo2xUHelAVL\nnIQFejjCBu2O+fvXUo+EhE/Ms9Ec5LM1KtWmwxxIKtT57ZwKS+Rk4x35LUkKQK57FWJoCGvAUGYu\nDKW6U93FC6Zn8StBpsliMmew+NLMJE24zCDaepnMmamlHk3qR1BbWeRvZzy3A0l/lkw+yf3Lmtmv\nxZkUJugMllqRC128ZLoa9T8mjNKst8z/f1tTuWfAQyvLNTjf6x/DIhVZHdQWnD9R3EehNgODBhPk\nObGbtWINEhYest3IT/QpMCWps1rny1wPi4c4Kh2mwlFijxRVRgtWMKWoHiqSd4jEQ8YCtHgzmH1J\nhqIePrjpDCZXmZ9hWOoyQlOagwtzUwzPHMNcEcXmnwPaQNCo2NiNrtWgC4NUaUFmxTD9RZ0Z9zp0\n6wnEfB2qq5flrjhbzDrTBYmfFXVGrcdBA2vSmAOPRcWDm3vNQY6pKS5mZ9lc4ccsiEy9OsH4djen\n8kkKZvAgseupLOJEnpjFQTH1Aca9XSwZj3Jas7AcO+92aVAKJvWmi7TceAtzc1eDVf9vj7fk2T/y\nyCOsWbOG73//+/Pc+CtXrvx/7Hm/5SEVI6gmL4hmFJuxORyJN5AKYSw5I3+ZSZ6kYkqh+YKhyMVT\nRnjKVGWlaPIzm7dgKaZYGt8377/cdd/dOBqsCBaRvrUWElUSe6+VMBey9PkrcWyqRNUdbI2+Ssg6\nxRZtGIAQZQv892tO8On6A2y0DeLWXIiaC1NyJcXqZynUPUEq52M4ZsXiMJREdf3TALQINsJZIxSY\nVsz8cLJMfXnl8NuN/GiNYEG7Yln2eNaQNnnIqjAyWfbetV88y6z1JUZno2StZgoWifFQEAQNb2c/\ngWvOsW35BlrXbps/J/zU12l842n659YylS6Fu3WdXMGFVrDMs+k91n4DBYsVeSBNcTxLw7khnEqB\nSaef2m37CV5nYAQ6LdMsVcoRAcmep3rjae47+SSRV36KYkqjB1dj1hRuGO8m6nIw4Sr1J0/VUDmp\n8i/vX8yZh8rzfGBDBG9lBKdSIDrQxcSjf4eW8hMXF6Z0tjU0kMiZUPNWVokufjbyCWIlD/GzVWHS\nnt3zZZuHEg4O37CS3g1WTLPXk5i8FXUoRy7gIS3o7FHm6C+xiVmzZc9Nl1K8dstmuhffS85eiajI\n2Hs/SvrkTsyil2LzwwxpL1LpVJnMwWhcpojOSLQTXTdd2eOFMcvA/P8W2YmIiEVI45dEft7lYrzE\npKgVTeiAiEAhe3UrUMUrM573sLp6BkXLIAhmrFf0a8/JPoRfIdY0vYCupGhOG8ZDID+DqqZYJjqo\nyMVA0JGsBRZprVAse7iDwiiK/QWyVkN5tpSUZUpVyEoR7qrQWO/N4dp+mErvmQX3lAWN7GiIzIyZ\n3GQVLt2FqAvznnyVHsSsC9zsSnCTxTA+m9QW2uwCr6UKfOOUhaekx3lDeA1BqwEhR7Uzy7amg2xt\n9/CJa9xUORws1peAoHNNQw0RJX6Vor9FMtbceIkGSSl5pIIgMJSI8+YxMDWIrEB1ibRHM3ej2H9J\nsE7B1TI1j31JzO1ktmCsm26xi4gwx6AQB92INowLYxyVjJRZg2j85oq5Ya79pwE8cypbn8ly/ZPG\n2k90NwNgchnXm5vbhkA5MiajcrdyL4IgEsmk0FEpRL0kLxi1/v7Vl9jolah2TQDQqBuVG8cs3WAH\n3TqHZpnDXf8sOzBo3qvMCpopw2rJhR2Ri3kHHU17WVI1glmKUila2G2qYI3fx8oSs2RmJIPtJ5Ps\nejRJxxN2Rs60IkwY0ZOj1W0k811M2P2YNI3sWIZwDuyiiGbuRkenLfRz4tMHrprz38V4S8q+v7+f\nd77znYhi+XCHw0E2+x9D6P9fdUjFKKrJ2JiKtZZY7UMAmOVRVJOXxN4pPD96mZ1PZFh+pJzrE6wi\nJr8FxVRJXHMh6hotZ56Z/77WlUI0aUhuM1IpzZj2iaxPH+N0VTNPezZxXB7GVz3JDUu/S7HKCDtV\nlXpEb0wdpdoxxRmGqXIew3O50YZYupgooypVFKyNyD5jk0VUHQUNURCIhXfwh2fvYvfJe/j62Dp2\nHHuALw9vmH8+TQercIKhmR9wG+e5p74X0OlyruDa8VNUFpMUT+xFeubv5s+xZ3Xe/q0U3v7jJD1m\nlEKQi/n1nK3vxBaKYXLITE83E7lgCOBL6w3BYe2/wKpYOazWke3l+ug+6nOTVOQNwTNka8DXaQgs\nzw3lkqIZnxNR0BAkDSwqh0dz7Osre++qbEZ3q4xXNtCjjqFUnsS/9MfssL1BUzrCtLnkfwo6im5m\n7Qsyku3qvG9Vwo6rkCNZVDAXUhRno8hSbj48mdNTBK0BXGYL6UsNzBSt/GXrUb7im+Jv3JOEI+tJ\nh4x1ZEGgwRcn2jHCLf+SYfExO2pkKVokR7reOKYu1kPW3MMvlAiPecJkOz9OtvPjFGp+SrH6WSba\nbORsVYCOLjXjdxqpBdU5hUc1Ij8Jawat9FsmipU0WXQ+pnwcUTeiOu5F4/Pheoe1hMAv5lFUkb54\nGVipZG3z6I7uka2kZhfWq3d4h7i+YphbWicBgVj6BPYaAxjVG96IzZKYb3d65ZiOvYQrN0dDZgZR\nV/l41wvYxZdR1Ci5QhiLTUUQddIpEFRDsHtnVVJyEaQYFnOchKJRqxtG+Gmpn32cREcnSju6oDHq\n2MfbfQV2Vx5HFAoIAihFK6omUG8yIWGiRW9DReGkcAKvVol98n0AtEhmzAgsV4198c2wg9yS82ii\nRiavM5eRQJDxWjMsC56m07IMSb4GXXPi1o01qFmTTBQN5S0Uy4rSrdgxI9Cd6+Kr8R9wcnZ4/rs5\n88SCeTo600OVw47PaqWj0rDOZGkUpAjFUtOka9pdVHq2siY2TNb7OBoal2mXioCiGjnD56Sfz1/3\ngtjFFnU7qy4dQ5UgMKnzs0962fNxL3pRIj9Via4KSDZD5rw8aqyJdNF41k71Gmox5j6SX9g3A0Cy\ny2wz+bjLWsVGyU274J3/Tm57GHQdT2qEBq0JXTK8akkQ+Li1nu0mH7ebK8k7Brnetph2mwPNXlbI\nFVdw+E/7LVROqtgzOoeqOyhEfHxn8S2MuioY8lSRUN5gstJN0QJLDim81usuvZsz6NIUciKNoC2s\nIvpdjbek7L1eL9PT0ws+Gx8fp7Ky8tec8f/G/9bQFezxQ1jyI6jmMo1i0d6KJloxyZOIaprsySju\nS1dY4k6J6j9eRvCjHZzNVtOpHyTrNDaJo9Th7N3u83hmDcU/ipuMoxzm9pkNIRmpOYezeQpXm7Hx\nL284p55nme8wrkKCl8wj9GhZvA0DKBVGfl+zGvSxui5SCD1D6yKZhuIKNHS+ObaVISVDRi2yX01w\nMu+Y99gLusiTM8v47+fvYE/3g4QzVkJuQ1HctfIYd7RP4bIK1GXi3D3yCo+8/tckT5Tzd1cOTYS+\nrSBqRoh6LlvuyJUd2oMpOUPSL3J2azlfvDRh5ELtaoam7DDv6TvCh3oOclsp5P/fuh7FfW0Q7821\nONZV4NldQ6HChLhzgGzBjaYLmO05tBIaWDAVMbkzoEloRYlT6+7m+K1FLkhnsZqyKKZS3rtEa+ix\nG8okabGjyVeDftaPNuAq5klaDEXaOmQo+W+bv8FX+RrT2iwJ4mzemqGYcvDG2Vqanj/MKnmC6/0W\ndDSKoV8A0Ck52Wn2c1vCgzOtsLT/J/zF+icI3NdCpMmYq1vHX+fhymcIU6TxCkpW1WewhOX808wE\n16FKZlK5AWyW6tJ7h0BpWj2muvka6kjRymK7jg07eimee7lxSqVeRVzMEiWC1xknLYv4PMaaLsRd\nFGNlrzqeCXFw+G507XJSv4Em1wQ11gxeu8LiGhGhdM/MSIjaaAuCoKP4jMiLopVzqkohwq6RE9wx\nup//r/sxrFqRmrFuxuaMypTL6diolsUUuQ4h7mXXj9OsfCKEpgucGN9OPG9Q4vbRR5IkBaHAgNDP\nxBUteD9Vl6CqZh/1XsOgTGvGft60NEJCiFOvNyILMpOagQX5UDDE1/LjiGKRj1rrqBY8DKXsOG2n\nMVuMfXhoYI7HByvQhQKCvrBTnKRVzUcKpoQJ+mRjnq3DnyRzbitKzsL3jwQJCGbyjiyx3hAbQ+W+\n9hscyxdcL+gb4xPrNvKnm7bgthqyooDxHFkMr3sycRtuexvY9/O0MsvXTV/hnGQY1SlkHlPPk1ay\noJQRoYpQpLYQwqIl2P8RP0Mry3IoO2CsJx8+TE5DkYu6Ea2ZOzJCrtSjPp7P86PuLgbjCymGTe40\n9iuM5k0mL5W2fjapW0qTVMAT0dj1hMx2NQhiBtSFdLUh0UKHzYyOgi6UjUUVHRcSckLmWy9VopoM\nR+eJHWsI7jhLJmCnsLyRZ1vWYg7Fqdx8AfeGAbq22AjNyLgT5aidZt9P9kCYnqOn+Y8Yb0nZ3377\n7Xzxi1/k1VdfRdM0Dh06xJe//GXe8Y53/N9+vv/6Q9cIDvx33CV0/ZXKHkFAsVRjkqdJv7wQGDn1\nniqCD7YjSAJ5s5WP9dzCIkeUmGMpmiCiB2v4Wv4RPr30FKIaRdXg542djF0BkrpcMi9ZS5zTJfS5\naFEQAGsxjcMRx7todP4cJWOjWLOHbPAZtFKNviAqKFV7KYaeQ7MPk1/6x9zR+Q98Yv8f0HzuS0xT\n3og7rVaOL1e4y2mmubCIaC7IaMLK0pDMX986hdtmbKaQo8BuU7kW/soxcleZbvLpP/Iy02xGli4L\nAIHj47s5OHQnFTnj+bqbqnih9yE+tf5TJMxO7h55hb878VUasxME5DSV+asBQ4JZ5LwriCAIOFdX\nkHhvM4lkkJ93/xE94WuoWl4uC3O1T+BsMcBYas5KofoZECBZKglTMzZ0AWauyWNyp1ntMsLTY64A\nLsk4prG7HKkxnR3Cn8+QtDhQBJEN/WWgl2bOcaEwznfNj3BeOoN36RhCzMIpasjFk7xm70Pu/AQ2\n5zDLRSchxZir+pCHmj9ZTs1nDeFuqbEjlwCH/kKS0SeM8LbHang9WlGiEDcWiOYcQNV14pku5pKv\nk5VHcZsLaAUzPpvh/YWU7TjchqCOKXaWlj6/TG6iCoY3v1wz0jgTTNIzI5ApSAjVhvGV7mvgypav\nfiXDNdYW7H2fx9b/J0hyDUkpycbKCzxamEJcdop3XGMAAgtxD2rYmEuFMJeSh5ELJQdF1/nYhX1U\nyBnqcrNsmTVy9Cv6+rhp6hQObxRXjfF8iapBBF1Ce80AUVWkJtF1o3d9vGDmNXE/z5n3UBN+NwDP\nic/xumQA9QpCgcdNj6NJCtc2/QKX7qJWXU5tZYZXmAMdVmirOCDuwyxE54s5Qno10yXj3IOTjApL\nm1+Ynwc17cdiDjCWrAfdgnAVwCuCrooclPYz7jTC5kLRR5V4D+KFPySZldhu8qFKKh2dM4wS5l9N\nPySOsWeKFDjNWb4hfgWfr4yRMMnbSJMiJRj7I4VqGG2qg2W5x+hbazgLRcEwqlpKUY+EkOKw6SVy\n5iyLtEXU6cbz/tL0PM3vb+cBdy32aBApa7xr55IJFq/to1IIYA0kqPJU0FIy/mu3bGVP/yW652b5\n6qnjdM3NUuHeTMWaUSz+JPa6MKHmfpZ1vYkZsHhoAAAgAElEQVSpT1BYqRkgUa9gIhgHR9tycBgO\nzYH8wogGwHZ7CtX1JIWMMYfx8RQWQcQvmpEvpXj76QP4YwXifglpjbH/W1cfZJF3GNEm41tRLpse\nbDUig2p4YRTC3Ohi0vUmCsLf0XhLyn7nzp3cf//9HDlyhEAgwMGDB3nPe97D9u3b39JNvv71r/PQ\nQw/x6U9/ev6zH/7wh3zyk5/kj//4j3n44YfJZAxkczgc5v777+czn/kMn/nMZ3jkkUd+g5/1n2f4\nx/95wf+atNDTK5pDiPFRssfKgI7JGytY2xxEKtX79mYMAyER76QgusnZAsiROVrW2REEQ3y+NujE\nUR9GNKt0d1+ProE/NEnbtsF5a1pXBXRNoNZnZUVVELMwTYcngr3R8OBjZxehFUohreBeNE8XaAvR\nXbWhAyAVsJZCqRsiRjmNDZFGwcqNTuP4+4PG5jyfH2Jw5upluKo4QyA5vOCzs9s+h+2WHfTVShy/\nzwsPNMx/5zQn2Nz4CxzFHH1z6xlPLOZbiw2BPBPpIJ4PMeKq4YudBo9/e3qC9wzuY9vkQiOqKIqI\nbhOCKLCkb4TPT3iYLdjRMiEsb9RTk50lEmsnkyqlBfxJWgNx1pwwvNNiwjVPMASgaCbOeFs421JF\ntjWPf80lwsHD1Ngm6K6tQnInWfZGnuZqI+xYnfERttQx3nY/uiDwTMtaBB12f7+MV+h1H5v/2+xP\n8f5Viwm3L+NQ7SWG7Af4iKWOD1lr2Wn2024rMKIUSeSvNpwCYp7HV+6hsLaery+5ky2Sg+3uBGuK\ni5g9t53YyaWkj29Es04iSjk01RDuUttPyXR8HiXpxGVVyatwyP8NLK2GhysrdnrHLzKVTnGtdv2C\ne7ZoRo51IBnjx6cqQFTJeUvA1BIaftxShyxYqFUS1ItWxGIFYr4ec/g2TKqd18QhsmhEKeAptVTW\nchY0rQCqnYx6EXOuj1TuIiDgp1zKVqxZ2Flt9EYZ9/oBpJoy/shuH8PdPsbIEjNntlrJ6yJOxxTR\nosZpyYgazBWtvDZ0B3oplTU3dTPkGkmVDDxN0FiprsGnr6SitaTVBdCsR1GkMD3mYb7J98mTY622\nnjlNRcruRsBK3n6x/Hyzm6j3vheAbNFKruBEUMtpDwCXbQzXcLNxX8cwes5HJH629F0LIFAtWqgQ\nTNj9GZ42PcklYYrvmQ2ueTMWmqgnLxawCgv38/dN/8JTygSapjOnCKhyJQIC2XVnSUplAF+dVs/t\nrOO9xQ8C0GU29tUqvYlbh2q4S7kH1VxWfObZj5M9tmL+f/fMLFNylhq9lk+vXsXWOsNwSMoFzs2G\n+UF3FzlFYXFFFZbqccwVM/jX9hJaMoYUVAivvFqBOsxjmHQT77NUc/OyJip23wRSjOT+GRz7x0Gt\nQMru5nymbsF5UtCQd4mZsoevx433XDWhkvMspDCPe49QtdVYP1rBzHLNQ6TXoAzvHBpk6osXmPri\nBZSIjOazUhtc+P5+V+MtofEBNm7cyMaNG3+jm1x33XXcfPPN/PM/lxXbypUrue+++5AkiR/96Efs\n2bOHBx4waBqrq6t5+OGHf6N7/acauor5TZS4is1QYHpfN9reZ0ieOrzg+1fucbKybmEd7suRFjym\nPOOJDgAEJY9dLeJDRtXMSCKcnrTgXD9JMWUnMJUi763CXjdLugQTTfXXkR2rxrtskHwgjb8yja/2\nBADNWgseNcDLUR1Hw8yCewvhJbRNnaJ/tQUEgaT7LOhGY5jLwyplcWgO3lVzlkbJ8CyDtgI31MyR\nHBzgwrSdF3t30VJ9mHSsnnXNR2iwZ1BGBhfc68Zr9jBLjngxiztkpcbiYXFRoVfL4kqqNAiDrBh6\nkW93GCjevGTlycadnKg07inoGhe9zVzyNNCRHGN1zLh+rErk0v0B1u/LU7erntRBAwynpoqY83EO\nT9azRhhn01yM20eO8uEtf06sqwPRXMS9dIhW2USoN8L+FZC61ETqUhOBzecNIyreRDJZwZHlNirp\nQTSrxEIxCMUwZQwBVTdQpKfyUzzkSjAWHWL/jbNYZmsgDdNOH1Grk0Asw7u/kuC1d1QRbimALvIe\n9V6eMP2Y0YozPOS9lf851s/bTCqmN/VTGJ/18VQsxYft1XhbLnu7EhubDc+uaTNUJ6Zpdn4Hl8kM\n5Hgs46CCDJmkjtLdgtU9QDFuhHE1/7AB3RTduKwqmYIbVSyHslXdzEOLGqhx2qnRNtArdDMjzrAl\nfRPuEn/9UMVRrMHWeeMx0d2MVjAzaW1j2tVBKHYQQcugajKSaEXRdUxFP1quCVxlZfjLEle+krOB\nlkQtgFBiR8wVJjHZTLjXnuScz8ah8K3E2zqRg1O4iineYXuaWPXVIjDtPYYayHF8qQMoMp13MJJo\nJW0ugzEP6TEmk53ouoGDTNtGmU400nmFoefQ/KzseIGjorHO3qHcgeQ4xQbNw78qEfKWGSaUCQJ6\nJdn8GgTBMNrNdiP/bbv411gKFgTReJ+JfBiLx4FQbCOdL3A4UsOuugi6NMcHlxX4ypwDyZ0lPeEk\nm+sj4N6MIAhUurfSNTNMdcVL9Ku5K4MnqGIESQtwUezGhInvF+b4GAan+xnzcxRKUbnp3BJGC68j\n2sNo1ikGxTz2rJOJngYq1l1EQyNXqMEvlksB16kb8BxNkDh3nLoP7WKp4qLUWZkHF13gW/K92KbP\nE6/WGVtiASYJaW30CZcQEGjXFxF5k5EatQ/TUSnQJgYImcx4BeP9zWlXG7Oa9Qy/n/5DdH6KIIBq\nfxEAeSBFdVxm3/U6N2kB2hKLKEyIWDrK9e+ZkxHcIzKUmiqqifL10xWGc5Lqq1/QpwLg+PG3kzZP\n8b5l0xRPSpjz5YiDPJzGvcpPdnAU6hr4XY+35Nl/97vfpbe3d8Fnvb29PProo2/pJsuWLcPlWqig\nVq1ahSQZVmRHRwfRaPRXnfpfdljSFwgO/DkAidA9hNv/ltnGz+KI7sc39k20v/tTeJOin/0fHyRW\nbaJeXFjvPZ7zsUVykMgHaInuRSl5G8Vwnp/1OPnSXAxp43kESSfV1wgIuKWFiy0n+Yg1rqLZ7yBr\nSjNQWwaoVCkNtMTXgCaS6mki1VdPsfcGhHQrm17tZ/WBPJ6oRq1gIVJC+trTZat/W/PTbKg8zwP+\nNhZ7DOveLOq0e3I49RQtXh+31ZnxDDVR+8R3UCIyVRu8hH6/FSSBgiBxaksdSUXh0YsW8rM+HCUP\npKrExLe0W+VjZjte28JN/2TrTfR7SgaUIFItT/JS42Ky/nK6xNbp5Z3WIPW3NCKZRHw7jRyiEiug\nxa0c69b51oU69jZ0krDZsatZRF2ny7qGhF7BROz36brhM9Qo5RRJ5MgKZuKNvDxwEwJg8i6s7QYw\nOfMIssizoW3MZnK4BRdTtVPI1ScoNv2Q+iZjDvu9RhhUAGqHS1z4ukCtXsdSbTkDQj8qKvdU3Eiz\nuBDBPhhdwstn3VTGOwlU7UTK3oyUvQlBWfj+O71TuK5Im9ToM0iBJJVbzyBHPczlXkGxjMwT9QBY\nAylaQ3nypXa55kw9xeguvJJOo7Mcodr2kzTv/kqCN85kyRVKwk/Q8a0YwBYwzs0lfAzZW+lxtXGX\nqYpKWwuaXmR09gmy8hQjeimXm22+ah4B0ESs5hBaUcDiS2FA/wUWt2SR7SkurbfSFWzmRM6JsniO\n7TtPce7aN+ElYoaxrJoWMlL+Mh9Hn/0G06Fyq99NDS9w54p/mO9T1ezvprP6EFbdhrPUdW2v5Rcc\nlF5FFmTeo9zPKxevo3tuGS2ijQ7BOCYuxKgiyFrBAOYlpT7OiCcRMvXYMxrbZk6z5NJPmMyNk8hH\nMIkC6FYiWPibeIpf9P09CDJaVuG9bifNoo1gzkPIt3O+SZnb0cbR8Rvo1FopCAv5M05HXMTUJEel\nwyiCgk0xZMsl0wEOUo567RH3IznyCIJOftH/JI/GxIVGigkXlZdM7FR34RI9SEhYdWNea/V6VDmM\n6FTRCzJLi+WoimY/xINLu1ip/TmBgS3zn+fJ8Zzp5zxr2kNSzfDohXLpLEDOEUF2DtBhts8reoBK\n0YJayovouk5yznBiBFPZ+ELQGEwKnGptxKTAhXMxzvV1kzN5sYQ2kz1ZSlvlVZJ7p8leUYqrJsqp\nyJRfNJyj0RoSp8vRidxkJc35UXKpIjMCvFC9snw+8PxEJWOzJoLZheRpv6vxlpT966+/Tltb24LP\nWltbOXTo0G/lIfbt28fq1eU6z3A4zGc/+1n+4i/+gp6enn/jzP+cQ1QS+KZ/BEDWuxXZtRJ0Hd/M\nY9gy57HII+WDHWbEgA17p5eVmaPsNlXgKS3yRNFCOCVim81RXUrAV8aHiXsM5VAM5xnxhLG4MwYy\nWDERTtUDIh8KbGGxtoRrkw9iGb+fVxK3cypVw/6pTVc972yxyL8OGYCj0KIoLYUlZHNzWMY+SDBi\npF/Mso47WlagjmRZKQQdE+xylwVrb0xhKBHnSM9ZwrEolugUk4MX4ZdGykaJlcoK7SacGwL8fMNq\nBjem+f5FK5nhWhLn2rEg8eTFag4dbuFdpirWL6vBHrCxfJGhFNbPGekD7U1LvE4awrN4hCNbVWSb\ngKnSSsu6hU08Lg81USA0sjCsea6iCYdqCJKs5CCcbmQ23UzL0Z9wR8/zbNE7MJUMnty5JvxFI/Tt\n94wjxdYjT65dcL3UZIiEZEGRDaGWETJkx4Lki1NgMbzwE6FWBj0GCMsVNwwAUVMYzxZp1zqQhTwT\nwjgtzkocSERzhvcsyKvYN/h2FE3glhZj/wpaBWPJei4lrmZpu3JUeWQqV/ci2YqErj3D8eIWigkX\nYgnfMZ0yqi7+dHgFzyuGJ/rM2M0cmNxArdl4998+d5rHursQZicRgJsCfk5nF74PR7PhGU3obcQc\nS1gsGOvEaSs3vZmJv0yz9gYA5vDN2Pr+DOvQHwIgJdYgThg88rpeRLQWkWxFgu0+ltWtp7G27ESs\naT1KwDHJmtp9jJsWRqh8YQX3yLsxp6/uMqm6JhlYdXWfBUk0lMFApCzUZSFPRixjQCr0AB8p/gEu\n4mgIHB69hV9cvJfdFh8W1c6csLCk8jviHqJCgk2/THHDa59g9YVv0jr6AhujAwgmQ0YKAqRzLqpM\nAudqg/xTfozwd/op/vMAt5srqXY04rDWs7u27Kn6LQXqirfSoDXi0J0IOSNMfmK2iTemy0Drm55S\n6BN6eZ2BeQomKyKauDAnXoi5KSZdoAt4jrnxa5VMpo3fPTq1mxXqKloI4rlZpfJD7chyCr/LiSoH\nQS1Vikgq66pkdrrLFRdTYjnS+drBf0YvkYoJ6LyzM8xqXwz7r+kEOqrlKczlyF1IUHjB2Dua7diC\nY47oUWZdhsFcF7sefW6KL588xnfOn+dHowLd35sk/M1LZEwW9JmyYVQsdbeTbQJjHRbSsp+Q7wby\nUQexk0uZO9xJsqfMYfDE2ZVMOY3qm4Iocbj9Vn7p2sgjp0PEs1dXE/wuxlsK4wuCgKYtJFjQNA1d\nv9pb+d8dTz/9NJIkzef//X4/X//613G73QwODvLwww/zpS99CYfj6prbvXv3snfvXgC+8IUv/Nar\nA0wm02+/4iA7ATHDYtYWfQRbYD02TUHofhhBLtXBXhEy+kbD7dy4PcP2UovNDsmYh6ImcMupe2jL\n9tGUu0QKO37XKtbesptCUWbsB18gG85hW2MAfwpFG6/030elFOcDK5biwMGt6ts5nbMjxQLoGMIv\nn1zKRKKNQORaRP9PsfhTjOdGmEgZea2Pe+9F8Iv8zdm92IsyFqWk7KfcHEzW0LA2Ryrsxj0xw2Um\nieBknqag4fXuyb9Ib/8S4rkhVs6OkK9qIjA1hNpdpo3N9yaxtRuobM+OEP5j0ySAZKqUlxN0IlqB\nc4MCYKZCtWEOGWuxgSh/nXuchosXef+2z5euqLOx4XmOjb2NyvpBHNVhosBLNS7uVAMIksjMkRm8\nm6qwICAKAoWxDGiwemqI0RY/H9wU4ZVjJiIOOxUFQ4HnRAexVDWiWsCTNt5PcO40n7g9zpeO1GEv\n5mkpDmHSFHRTCpOc4P2vnieXkHn1xgeZDewlO2oYGs0B472mZJnUpSYQdDJ2mcse6uHqdiryGS6q\n9VSMT9J5JMdr0l5Or9pNTSv8zPQEN6s3sEjQsastvH4pS5u7mbG5x6mw2ahzu5kuxMCsUePy0JU2\n5ndEzdMk2YiqOl0JichoPe9aPcodG8M8cUVVoNs3C2Gw+AyvJJqrodo9Qkfdi1wWXUk5gKYLeApR\nfj6lMzkXXtDwp3qkm8fkGjoGGxmtUnC1lgR7wcU297UIV/CnWs0BXLZ20nkjdD4ei9BUZZDjCHIt\nyDqOrq/NH2+zvES+ME3yYjP+VX2I/hGWubwMk6ciaSUr5fFXdHGj+wpPD/BNgCtTYPWreS4195G3\nyowutbD5uQznnffiav0ZM01G9MgXVhE0nYz6Pgp1j5WWlsjJiZs4NvY27l39t/PXbRWcLC/eRLu+\nCMXxDGcmN7Cl/g3eGN9CJFuPopm41uLgFaWb3bwNgFfEl+bPrx81njPpasSTHmVlz3dITR+A+x4E\nIKuKvKtQICLNEp+tQS91v9QKKh6bA5/3BT43WMnNDoGUVsfdLcb+fqd6Jz8dqkENPolsH0ezTaA6\ny8AybU0nz5nKZbsA8hXMi5MH1+OumSY/XTbsf9xyE9kzJzmbznC2YiuNOQsrDgxR2ObH3G4YJ+aa\nlwEwqysQcstRnU+gS1FQG1Gw0vJGDUNbyuBALxLJpg4YhxU1OZY3ReiskIAgPcNz0AyxIryoz5DQ\nFW42VXBITbDtewlsmsKV2urCtImlIQVRgOGRClxVhgFYyJzmJyVekKFkAqwuXnM0cdNcF48uv5bm\nZJiHSgyTCdGFjyTWvE7RJjAht1JlCVHj30UkdQJNTTDPJAQ4cxMoosSJllu4aE6QsBaozhvvdP2u\nt2H7D6hke0vKfsmSJTz++OM88MADiKKIpmk89dRTLFmy5N8/+d8Y+/fv5+TJk3zuc5+bDzmZzWbM\npc5Ira2thEIhpqamroosANx4443ceGO5E9dvm5WosrLyt37NYP/n5/+eU+tgbg739OPY00ZeT9d1\nZr9peNE9u5y8XNzMO80vzs/P5ZHIidTmx2nKDQNQUKK8owSks5iteKpbyPf0Yt3m5vDgbVws0a5+\nYVEfa91l/nRVzDKgl/NsKVcPc7Ob2ZVbRSJ2HrH1EsmI4d2+d1knQolr4YGBIbr41vx5WtgKFomp\nUytRtBzmyRlkK1hkCEwpVFQ76RUuMmC+SLrEt28rtXn1yYZRcLKqiXWzI+S64rwQ3MG9GwxB723J\nEteNSgCrSUNWRHp7g0iijqoJTB1N0rbdjarrvLJYYVYcomejiVsL3+L53o9wS/RVGpIzZNQB7E0p\nLAVQRB3ZKfIz4jzQXUQ7l+Dba4qsFJ3sMPu5VLwdq+MHxKyGEq5yKqxabuIXXTY2xM4za/fgU2KM\nplbgyJe9s7rpw8g/knAsrSYvqGgFM04hA6KAgx7keIGs20SB5cTPlD2vFf46ssUig72lWnxdoJA1\njJvq0CDTM638eLER7tz1cgJvKscajvMPLW9nU2QlbYFznJXeYBEBnJKXHbUGTuE9izsIecwMCYNc\nnJYxNY/QJZ1jqWcJ0VSWfYdacXqyJBPGGjBR4B2rwC6IoMPPuj7FHZ1fxm7OILjyOEuMdrHswmjI\ncGwZmm6IkzHdTl9OIpRd2H43e/EUD146y5HqdmpMq5gdUQk5JpFGPkreVlb0KxM/ZSR4PXl727yy\n17Q8RSWJ2WRELVRVQaeIqWT8VuZzhPUihTkfuakAtuAAZ3MJkszSFrWxeNzK4W0FJPPCEOoS9yLG\nh0ax5XIsGvwZpoEcjReLVI8o/NnWNt5jdQN5VryWY/FJwwh//sZrkOLr8NoniMtedufPIprtZCbe\nhbNuDwA3i+1Y9UXoZEHMMBRZxj0tcd4AdCQSeT9L7EVULcjTl75NaplAVDCUkKlgGK69bXcy0PJ2\n6iZfY1X3t3HH+hmMm2n1FdF1gZSlHtfcEq7dd768DzMq17YeB+DF7A7ODR3m7sVlGZnIW7m7OczX\nzCdBh1Drv5DQynP/06XH+VVD10EZr+WIYzt3hh6hVnTwk+h21iRPUFOY5Gyp9v39/te4c/MM4W9M\nkzrzChXtTQuuI6i1dM9FWOxwk1bmsAg9ZHQ7t627n2wxxVGOcehikvvWpgmsTCEqAu9ek+RKmsdF\nXg+6qvPoUCWmJsNBelYxDPBRd4C41UnabGVkbxBrTiYmOah0KjRVTpIdbyRLNVOOFAk1CyxM5YQd\nHv5q1fupVUYY9gTJnu+hkAVfvrxuEq92knBU8qQ4x5rMBVZ5ryHo7GVKOUpBaGB8UsGmy9gs1Zzw\n2lHf1M461fcqadfuXznPv8mora399w/iLSr7Bx98kC984Qt85CMfmVeAfr+fP/mTP/mNH/DMmTM8\n88wz/OVf/iVWazlElkwmcblciKLIzMwMU1NThEL/MVzCv+0hyeXyqqK1DUlN4pp+Fmu2jIdQo2Wv\n/kKbFS7Cc7OLWOtZGHbUNIElmXKKo1CcJWSTuYy+EW2G8L792ylusf4c9z3NZCwmAq4YXJHWzpln\ncVpdNKs63sB+loeMcKnl/EYwF9iY3M2O1haOOeZoLZZzmU6ni5X9XfP/27MaWEBRs2yaGaA9Pssz\nv+9h0SmZFa/LhDsG6XGMIFoLKHoUMCOWIkPegqHsI+1LMF13DUf2H+FCOM0bI6vZ0nSGd1TV8u3Z\nOLvbs2xrzXBgwEmjz0zV4jAnvzfLjEejDTeRosxcMkfWJ4Ek4LPP4RITfPicAczZUN3Hq34X1UMq\nk3UGU3wendiLk6Q8hsDrUjJ0fGWS7PZFPN62gVA2jkVTcFk1OqrygJcpp59gLoFbSZKzVOPMLuSg\n0HMqbZZpwpsnyYxUY/MYQDjPnIpU1BnqNJFv+3sY60QSBDraBTwWK72xCJnownCx2ZdEbsjDFa//\n5UYjT/ih7v3cP/wyu187zr/s2kXzMiNkKeh2okR4TTrAYG0ZVCYXllBdIj/pkS6CBLq1fl7RA2xs\nyVBAxS2Y2CEFeEx1UFDtuK0RpGWzmBzGGo7lynvyyOhtDEZXzf8vApHxA3Rc0W2u+p4/Yvrxf6Qr\n0EBXoAHiUermguzquUTW9lUc+TkGmt7GXPMGWsZeYsPOAZ58436mAFGwouky0fRpKj3XIIkWMvIw\nkdRhAu6NeBxLsCd7KfhKWIu0HaEmQtJlGGGh4Tyt8WqSWhUXREMxtoo2BrU87RUpjmyTmRhxUzdr\nVAVUj5Rq9012DhSuZxMvYJ9tB4zUkPfid/E5GxlpuJHZ2D7yBUPhRIR1fK65itliAGveEOYCDp6a\n6mRUF7mYF7g2FKHRlccs1CPkAlgiaSyxI0QFsCWt5D0y9ZcM5ZDuPAeZtzNRu53zFjsPnPlHYnMJ\n8Dlwm4330HLGR0WqXKmhZhRMfiOK5pQKrFrjp80UR0dEdTzDLwc/yo6Gc2gWjTq9gjkhTkFTae/R\n6e+8OqvrRSKBSuLwShZ5NVYHorw6dwurHcdJprxIZhVTsRzi7/Qbc+i/s5H+iQAVZJCH01ibjbTR\nj89PI2sKbTVu7PZJRCFMh92KlG3Ag5dd7GJ/5nnspVr3d6+9Or9t8ltQEgWWpufou+Lz2KkOjjfb\niJc4NygYqTZR05jLmJjLlMlsJpwBlCtI4pqTs8iSmSmnj7TFNu+kx5+f4M1JA1emiOwy7pG2O/nI\nJqOq4cfhJv5paCubTEegKHPNZC/FXJRnWtcTKKXzTK71qJbCW0fG/xbHW7pnIBDgi1/8Iv39/UQi\nEQKBAO3t7QsY9f6t8ZWvfIXu7m5SqRQf/ehHufvuu9mzZw+KovBXf/VXACxatIjf+73fo7u7myef\nfBJJkhBFkQ9/+MNXgfv+Mw5LOkOgv58SORfm9DU4oq9gzfaSlL0k5QC1jgjKjAr0s/c+F3OqUSP9\nwlwb58at/HTHK/PX659bSK6haHmmMmmOFk6zVlrFdLCZ2osGKYpJzuGKTVPZ0E5P5GaWuuEl4UWc\nuptTrtN83mnkP//RdHS+LUptxSCRwiw7am8GYGP1wrCTXFGNY7EZqX0xswd/Sr0iMei04poaZ/3s\nMKfWe9Akgd4NNkPZDx1haE2Sht4C7+w5wAsrF82Dm5xFQ3DZanRqgisYXx6HaIHjMZktJcfgw1U+\nqDJSBjvaMvPPsZQIqWmdM/vSxBw6txzIceDDPjwpHdNonm2Zk+hAzinw2h2GUvOPyIy2OHBqIhlR\nI2uHZLWxeXVdR9FFRi5dgMomZhw+AsU8ggA+u4bTnSaTcmG25Pnz1qOkLAUy4wsBXQBts32EcZaa\ntxijbqDUYtcsgJTD7qjk7Q1VrAkZSurCnKGIG0xpxkr9z/1rLnGbfCffZRgkC+tn+jhRaUzKMy1r\neU+/ER6969hBksuM3/f6zAzHa5+76plEU4R0LsYVlWiYXVnkvJVVtTm2tTmocacYUgu0SHZWmu08\ns/op+kQrp/zd8+f0zq5ntS1FxaRC1OFirFQFMv9OUufpdSxhU0kJBu/8GOZAiOcX7caTLjd3qY4a\nUQJH3oietY38K3FfG2pGYTLVSMpaT1PVPQiCxHD4MbLyCLG0jUrPJgqKYUDJ8iS6rYO+kqJfFhmn\nxxyaR0l3yG3UnDlFcs12qjQrlUzTGf0Ai6ufoGgq8nLR8KaH2yqpm31TMyVBYCC6BiG9BGd7E13O\nA9za8yhbx/cDMF69hWzpN6YlJ8MmJzX4aCi+fcFlivIqjipZnhmSOLK8VM6lGp3c/L/8Cm1vu5Y+\nDmLNKtiURbROdiE4TYw1z6AWP4et78+odTYDYDr6FAPx1VwQV2AXw2gloGrO6scuxxjrraC9Ps9M\nuo5gupPJjIqnNY4uzoKY40k5Spe+lwHpUW0AACAASURBVCqgTvAwQRTMAtaEzA71Vg5I+9jUFUCZ\nHOPUDQ701Dp093HknIXKUIoP+4/xoeE7ME26wQWLZ8JcqjDk1NLoBNmCsQbNVTaaKgyvIvbzMdR3\nd5K2muiKhLl7ZZH9wxo3LjaMfUGUUV1PIOY3Iirt6HkzVkQKiobFtFDHnJmwsbouj5YB25u6ghZj\nXq4k/xU1nU0z/bQlw1z01XAi1Dr/3WRoExExh1uOcLdJRQgPMmx1MuX00XGF83UyuIj1YcOk+NqS\ne/j4xcfxFnKsrIhR7Zhmd0V5Pd8fHKFQPM2SbJSjwz6WTe3lUNUqznjWYVezXGvP8fFmN6ckN2XT\n+Hc33rKBIYoiHR0d//6Bv2J88pOfvOqznTt3/spjN2/ezObNm3+j+/z/bZhyeTSpgJKJMN0lYrap\nOAExvx5NEDEVwqi6wFNdRjOh97WPoieM3sd5Uw3TM9fNX8ulJPnR6QAz7kXEswriRLnko8XfyVCs\ni0fOnSKvaBzlFGZfkl3LzLR0lxRMIgIN7TS7ZcDOSksGvynGaVmZt2K9+IgSoVFr4p1BK/W5db/y\nd+m6jrMhhHvZeiSnm+R0Lxs338lGYO8zP0RD4NzyKlzMYS3pwWQ+jCNpoe1cAXMRNo2P0GdqRhRU\n9j1gL4G8Dff1D5dt44uRRxFrTvLqUDvXt/x6QIvktaCKOV7baqR+JkMi234Q5xcf80K1jfu/uZf9\ndzmJ1JWX+tnrjNBvoYQsj1VJ5Es97jVB4FudC9dmdUHnu/IkH7DUYPZkIeXCqedY1mQFjjM+fKmU\nWS+PSE35fmLKxLYX4wQnDFNq/Ss5/LMqaeZYEyqjeZOFUshF1nCqeTIWG4KoY9ZqOeGp4qP1Nprc\nFk7EDY95zu5BRUBCpy6aQNeC6LrOqcRRtKCIWGL7uk69gUPCQVg0SxHQkx7e7djN06ansLhyrPY6\nuH1xHEqisidfYMiSZ6fZT9CaJYiLU3JZjJ6duo7vOx/H/mSGjKTi3HyW5rYlSJqL70zm2V0ToK/n\nIu2pEQ4GV9PpbuD1GYHHa3eyO3Ea1DlchTxrZodxrdhE+vzR+WsvufgYF+tvp//SuwAdh6VAXnER\n9F5LOHEAOdsHnk3ouVFsJo2Pbj6Jpl/iWwkr64b6WBEdpztQT/ZiJ4I5yrp+nSJwvqqCoVIuen/l\nw7wyu45PVs9Q1DQQoG3SyKfGzC5iDdU86rnMDyBAsQJdkvhpsINbr8ALt/c/zprISZ5q38hR31Za\nzDEEpRy2Vi1nmMg0875KH49FFD4eWoh7Aqi555PkBSNn7g/niDjG8PbLiG4zO4UlHDPPUNDtyFbD\nuK+IX4Kjl6itmSJctYbLfWInqrfQPvKvOE+c5O/Fe2ms3Mz19Qdp9c4g5G5BK6HSNSXGyPhqqhaN\nUyPY5hetNa/TOVXNmtBneF7/Oiu7i2CFGt9Jnm50AQKWg8P4E2HqN25lxFXqNx8e5EjFOv5bdg81\nd1Yj2q5ouywV0XQYl3xkXozycu1iREHnyXNmAg6FGxcvnIuiME085qetQkESBLpmEqyq85Efz1Ho\nS3DRtYrxkInVTCBaHCRsk5gUJ6lZF0WpjtXV9ZyeNuRic3KWJZEp2tKGQWBVSv0AMFHv3YHJVkeV\nkmDt8b+gy1rF+lyK+uLV1NVnm5tpVizY0yMkgpvQep+gtpDkA0sPIQhQmMqhO63zfR8erDvH1Bcv\n0Gwz5NGyxCA7xSiKyYTN4SdkVmn7P4e6/Ubj1yr7T33qU3z5y18G4GMf+9ivvcA3vvGN3/5T/RcY\nkixT1duL6nocAEW4l5enHLzTD+g2REVhZtZOUS0bUHZJIJFJoQughB/kUl6iGjPTFPEqCV6fq+FM\nYTGSrnCdbjBANVfdxf3tc/ztEYG8UhYmjsYZznbaya9bzLKf9FKMGl6jHTsaGpUmGQQIpTdCCffm\n0T1ECgWWSMsAWG9f9mt/n91fDZc74m2+c/7zNQ4r+YpKHCXEq2yHnF2g/WyB5UdlokFDOIVmCpxs\nsSLYiqQrDO8k1avw+MR5pNAc1hrjeQ9n84wc93PdqjDdQoJ8dC23Baax/C/23jM6ruu89/6dOr1h\nBhgMOgiAAHsnJTaJEtW7Lfciy73EumnOtRMn106xE3vdFLfYluzYcpMly7KtSpGUKJEiRbGTYAMB\nEB0YYDCYXk95P5whh5DsxB9ex1m52WtxERjMnNlnn72f/vz/lTYx0S0z0lDFro43yBy+sVrMmYww\nT9FfGmLGhq/gJxaKEl3hRKykT/T8fHCO4FWnkCfTZFEQgLJY8UYcVdVuC4iojQGGxCLSkIPzbR8h\nuvpbgIZelAlMawSm51czd5wsgbAbtlRBZxr8HtoN+GH+NloyUcTaCH9d3sjBop2k4qbLqbFs2VqK\nE2OMHD/KSY+XQV8tyeZaOgaGaBo0yHbCbC5A8aU26q47hHZhE9nOWWzxIlqoAleclmm0N6PqDmyt\nKW53wiWpb5omg1kTRZe57gqywjbRzlCFUlfQRHyxGYoCqGKBrsxTLFRb8QgiO2de5TUAD/xk4dWc\nt6/knwclLqE7JYQC9TaJa8cTnFrxR9zcODNP2UdXvZN+91pU0eD+rnGG8zM8N7Ial70VW0LCn5vl\n1l3v5YeLrqaxTsLvNoAkb1+lMnPOivhsjo0w7m7mYqaRgdGjNAkiw83zu3qkwBEeTNop2MvUjmvU\nj+iYwCNtN7Cz8WoAPnn2EfYuu5Eesxsw+eOG+fuoY3wPAKsCK9kNBJQCgl5LrFTgheJp3hQ5z+6p\nRu6vgee6q8VbyVwJ4dyreFdvBaDVbOca/ToCe59ArqTK9LkS3bYMi7Jv5UHAFCXKshNFy5G3BWie\n3IsuqbSN7aYsOehvv4vOYQuFMzx2EW9TNy3SSfTJBch+LuPBf+PgP2AWDXgW7N1ncWyDvF1g1LeW\nM0dfQ6vvps4eBiZoP2ad4fQqC/WwpmCt73tGd/CN9nsIFpOcCC1k29RRfItURLt1jpNZAZ/LOifJ\ngsxzbSsoSBKukmXAArTOVTpWNCcO/GjCJLI6jicV5B3NE4CDc74y0bkwdceShM8MsvYdyzhaob3t\n1w1GemQiyRB7Bq8l621hcdyKfN5/9uXLpFaXRiRnGaseWzOy3So2VmUfTlPitdBSlmSn2bvxy3TE\n9jBQof+UPRkM0cCbOUPKHyRQOMuszUVjKYkguNFTJWYfno8FYu+pcGUULMOhppTmD174e5RQhB3X\nPQCAM3cBaOM/e/xGZf+Rj3zk8s+f/OQn/1Mm899puKdjmFI1zKRIcUKV1Khg+CkI0+y48OY3fE7P\npdEcdroWPsln8938pH8traaKS08zpFqtHbogo5X9dESux6MquBVwu2SSmTK2cJxitAbFk8XIrkby\nm6j1LSQmz/CqBLfot1swnRVdFUo1gB2McolAwkHmmIzrOtcb5pU9f5x8uJVXs43c1jiHzTYfiayQ\nTaPa7Kh1TdgibTjkV8nlRSRHkac/4uXWh6zcmyt1CUYVYi6X1cpVmY+ne4yxwhSSvSoYFV+GkbST\nJ80omFAf30viVyWUjUECS2qQ3DLJkIRSqZIFmGmsFvOc3DJfeUcKEpN2ne008+ikiT8U5WKLAC02\nFB0KmaqhIKolZFeBqU5L6z0/M4salsiOhqnxpwArtWHr8uDdEiaSL/Cj5eAeb0cXNZbqyykKWVY8\nefTXbREkT2De78tqwjxdaKBQEunztXGoqwzYOJkTEDFpdR1CNNeyqbGJwNQYJ7MFpq/q5N6VSQ6c\n6CDUYDKTkikmLDS+VY+bdI5ZDGgtwPFtdgZW2JAEnaSQYCWreE3eTx43zkoB1NiL45ibIJFp4ZW5\nBjYFLE+pXlAZqtTdL5sboHRqGsMpodr9tKddfPXgKV4/DEFk0llDqzDIpNRASXdQNso4a4ocXv1n\n1r6Zewy1uZOxvJu62HGW5w7R517D7c3W2Wl11GKXdAq6xIK5UQa9tZhAQZJp9VYjPn6HTqnCwLZi\nso8lU/083LOZc4EGWjJxTOd5eF32tWC3Ph+o7ebiW66i5ewu/nR5gENRk4QusKxwhpDt/cxocEPD\nNA3OMpdKKgVZwdQsgb7x9I9h+R+xXjURDB8XSwL/MrqWHfEF2PLN3F9TrV14aFrgrUqG5IEdZM8d\nJfLOP0REZLWxljHhWczKGgs263lo4gSwFMM2zpFlH0dI9pMPLmHr4S/SNmYpN0XPY8h2Xl39Ga46\n+kXWpiZQg73EvjuIWbpA9r2bifSNItolS9Ffuv/zKTyLneRbFWbcElFXANLTOApVcicArSyj6GU8\nZWtu6yZ7+bgqcW4xSMkim/vPkdnSfTk7dHrawYJAiXq/xqtDDgqidS+XFD1AuhDngVeW4Q4s5Ust\nIrh/DOgMmCN0exUmC3mmlSLTyhHGNzrpRsGUZxg7XsfnejVCW49jmtDzy0H+KX6Gp677MEc0S7Y4\ntBIpyYFXr0YZwoUUtwydIFvrYNR/+WXOrHgXcqCGZ5wtOCQVwjeixH5B1shjcxZg2oNaMlGKZcgP\nMu3wsTAVxTRNzkx6eX1NfeHcr++hL8cmeZsaY64cILCim+SvfdfvdvzGpPulSnvDMHjhhRfo6upi\n8eLFb/j3P+ONI1vSOToa5WChqrSKygB1rgl0wwamBww3W8Nxmqb20Tn4c1xSiUzvQbJnj+AORLhZ\nv52b1C6SnhNEyCMAy+V6OgQ73eUSb584iii5ECMW4UljRwLNZVKq1bGF5pDsZcRiM33CeSabQI4l\nqa3wsCfL1QO/uk6nrBcZ//bn6fjRAe50LaDNXMApqmAWR3f+nPjux9md/AaDDV/BKFU7FPRKH+yT\no2No8WnkQC1q12KKQgEpXTUInvmgF1OwwoW6IPBquJO04MYWTLKqUMsayWoFu1LRl9MOVF+Glcss\nr1jRHGQCVhFj4alJjJKBFnaQCorUjWrc+L00xrCP8hWV3ZeiBpfGpF3HhsBsSkQvzK97KEtA1lKU\ntro4oY2nCI5piBUhMlXOovqyhK8/xNTCqqJxLLY+UyMrNHmTFBb+HwDq9BAbx+envp5/p4tiJSrg\n23D9vL8pAvxlYzUCkKn8+GJSo1MukNGzFGyPYCpn6Gxpojaf5N6VltiobZCo8xmcnqoK1Of969Ar\nCk4AVrxUoPu1AkuLdcwJcRpMKxQ7m8jz3NMKdx67k3OydV+np5fwZ33bOPIjS3hlhhvZdeHdvDjw\ndt4zaBkQUk5HdQUQqiUUbxib5l5m08pHuGXhd6gpxbAbRWyq5WNogf0cd08SvvN+et70NmwNbZSm\nx3lf1zi1VxCbLAtkCM6epj6XoCgrzNlcFFFYHsowNweZoshsVqKmXgQB5LAd1SUSySaYcVj7yp18\nYwhdLyroBZU6qQmv1E3bNfdRE+jgzYEZ1hf3crqnjomShy5vlgan5SkaG9+Ge9lVIF2xr+KTuNFY\n7SyA6eF0XqFkyvSm61ghBDiVkvm7CYm398t8a0Ym8RMrYqrNzcybT7zLx6kOC1zHzOuUxnPMaBZA\n0NrwcZROgwtrazDoY6Dt9sufO7PwnQA0dUS40H4XvswoocGDmBUAo8LwC6R2TpJ4cj7aG8DKPQWC\n4xq3t8ZxqE0sSEa56WgVUMtzWxN/e1uUsqzw4JJtTFfWc93wCZqyaa7pP4ccslHfVfUbTQSe7fOS\nKYqcGHdgXNFJVJ9NsKJRpt8bQU1m6M1bZzBWtv7PKgVEpwxmFfQp485xaJuHbxy3DEBNk9FKEvqh\nFh5p3EzU4SUybKF9rp0eRIDLit4E8rLMv62/nQXpGQRlvpOypL2FzzTrzAar51SRfaRlL1GtmaJp\nQxNEZoJWTci004uiaYyfdSBFq4o9LTswX2dMvtxz+7zfSc5i5tKMnv39UMP/hzl7URQ5efLkG1q/\n/mf8+nFuJs//fn4YcHJPXZF1AZjNt9Dir7QQaUEEBByCk0X+LM5zDyNqBbpHnmau4il411RDu+9t\nO8zBgT6YVXDLPrZJfkTVgeawqqFVmxWestekCC5PYneOo/sr7GqlNpT+CIPus9QA3ZNJjPaznJou\ns6kGdo7Xc1ONHT1dBbJwLlxBOZPE+6PH4SNWGUltX4VFTBXQ1Til+BiOoBUKSyTmCAaCrIh0IilF\nZH+ItGodNGc+yPR5GbUugeJPk3cJZDQ3j3VtQBXyCHIZZ/M0xyQDrohyl3WFx3v/mHeEn8b09DLM\nAG7DS1ZIUg5IxOskaqZ1SiWNuYV2MrpEe2+Jc4EI8YkmQq1vtJs3ST5e0S+9LjCTkVGLbwRKKRtl\nEAx8SwcQBLjOXU/qhxfZ8T4PqVBVwOfskDF1lBEBtcW6jqxIvEUJ84PCLAmgfPI42X0XQRIIXHsP\nx2aeI1Urce4di7hWuAmXPUS2MMsP3D/Ga/pYZC5hpVEF3TmdF7D/4msom97LxyN91Hut1I3BCaRI\niHtrRgGr37mztoRhQu9kVdmbgsDszT20DI7h2byC7P4sy/YfI3RXJzPSFF7NAoP5hTPBOn2CmzsH\nOVfxvtyTEoZLpDRXJJEX2daR5mLvAEtqsrQUrNoKyRNAcrgYm/vN6JdSpePZZUuyKGsV+U1LfhyR\nbxJxJ1lcdx1JvYBPsVPwBiiODqBUUiUzBQURCNpKnLX56chbwvVAfSeL6kv4a0Ty59KgCnQucMM7\n2ylN5FAbrOhM1zM5dpi1lAWR2Imr8NhEtng0fIsWcGFyKbv6rCLG+msiNAer3ncumcWTyTPoWEjY\nFGj3WPtZy8a5oNXTfeqnyP4QBVPAv2g1mROv8PHEUWq7nQgIHM5aYnWZMM104jyzTiciLQwUTexa\nEaFiIO+uX8u2WB8NtV4Us57x7XU07bbkrC4qxI5oNNzZz42dP6PZN8iq2l5uB2iHhw98HG96hOHm\n7RiRHt4cHuR83kPC14mASe6FaltnXayX+Umk6vDOGWx7LIv/7hRvXZLA/bAVoXFvqsXe6UGpt1rT\nZNFEMwQeX7CO7WO96ILELck5bB/twe605hw7oRNcKuA8NMqAewl/v9uSUSImW8fPEyhmqMunOKHf\nyPvHXyIjOfhwcCulsoYvdS00PM/abstybGQZd2oL0NB4Rv4VxZn5UbDYvlWXf+7z16PnczhUNxui\n88PqAqB5FfZ5tnCt6whz/k5Sep4d5ShvsbfySmGEXZkRQmUPqpGhZA8TKers9i7EU8zg5xSvhjvY\n7+nBZWRpSFuFodKTR7g0o9eCi1k/e4a0swFPboL4ivV0dE3hdrRQu/B+ZgdewDg9jJaK41JtHE+X\n2fp7qND7rcrpb7vtNh599FE0TfuP3/z/+Pjqq1VgCG8lr/zm3i2UdMtylUwXfRWn0DQMRMNS8JdC\ngn3X1WNv7uDJKSeGabK2eD2+suU5CgGrkMeQbBxbfBvTZp4G0fpbMVeHvcLoJMsSjuwi3hMS2PLM\nMbbpPgRFpDSaxbAdo8F/ET1T4p/HNxEt1KFlLA/D2bUcxR8i23sAR7uTzJnDZPssD38maCPWYCm7\n2OkqCId5aDfx4QEW+hQkpxtRtfFdxULCcwkOypMNzB3tYe7wIib9bi74LQEgl0QWOKYsbngAw2TV\nXoP6gTLDcatnu6hWrfDRjBPnKTdK0eTwjQ6+uX4zMVXEVtnBz4Q3s8e/pkrU87qxSnITrHCvm5jM\nZp3UKAEEs2rEOvJezLKMqGgIAtwgBwjX2vAkDOSipYCaqKG9woc6Y5QQnSUEQWCuULwM13mDuQkA\ntz2J6JSI/OliHEs8bNnyFwgzd7PZcStuuxUA3J94kryQJypOsUfazZQwSVC2rvPceI4PrvpD/mLB\nK2wIzYerxh6jcdt8ms7eSTt3Rab4UHCSz988iSKajCs+8ls38U+nZF5sVDAQ0Mx9NNjH8F5hwB+6\nyYmuVn9fErWURdzuwKhQzL5/6Sgb6uOY77iV8NsfILH9bQwUy+yLWF6Ru5Rn21i1at9RYb6bPbQI\noyxhNwoMOTuxde7kKkeIt2jvIEw9vkrth+zyoWdTpA7vAeCJ4TBZTUKQCwyHREI+K/465K2lvsKK\nljmYgHxVLl1S9ADLtzmo82hMuAIkDBjNG+iBJbSa7XiukHzFeJVW93u9J5mesqqvbRWeeJ8WxzRN\nMkOPET7+bQxAS8T4fvsGjoSs6OaK3qepkazzHigUWJzppSc/SrY4zHMXzxLOucA0CReqhtGF0EJ+\nigj2CgfF0RyBXqt9MlazFHNwBtMwafbNV2AAisvkyMo/JhZcTryk8nA8S19KxRa2kPEwwbthO3Pu\nGr7NYvp8/377cmkkS6tRjeZ5NtddVvQAAYdGQ2YOQxR5vmU5u5uXELi5AadPQlREXhrw829zt3L6\nqyOcK85PA+REJ/+3+318bsUnmLYHaYmfxq5phIppPnHuMZLFMsVThyjPWIIxUxRBq2XvTBvdphVh\nzo7UY5NzhHMJXj/6AhFmHR48pTd2xQD0XiXwJleOL674ECl3C8NCmQ82KaiihpxajSd3N6oSIGYk\nEfUijYKNNrtITrLSmSdqW3EZlhFyNhjh9fV16ytkX7ZSAkSJno0C9g4Pd/oVbM3tDKwIWAymqTmm\nDIWU4/ejR38rZf/cc8/x5JNPct999/Gxj31s3r//GZDP5ykUCpimSbYSIq9XM3jlIjldpmjIvBa7\nBEAk8c2ohKnrRH/2r3AF/nLBqzLebRkFd9TnOJdwExZ96GUNQZDRm35F44TVM67UneNXepL9U1bn\ngpasmoqmWGTdrEFs9z/iu7kB9/oQaquL/OkkxG6gxfQjuVW+G34Gv6QQG7GMBNfKHkxTR24boeZN\nLRjLTKJ1YR79eJCX3mPHqPCyzxrVpm9bfRMOt5eRbJFfjEQpUsUSqNHDlHRrPcopN89HVjIesQ6Q\nTdBZE5aJ7V+GY0Linq+m6DiSZvOTOXKDVm3C+ZLBTLaB8zPrODh5C+vGIDJYJusTETMSeamER5CQ\nEXittIVXfZv58PY3hirdORt/tSPMhd5GZl5ZzuJCkHheJ2C387byuy+/LzrixyjJl3nZR4wiugD2\nRd7L5H7NZogbpACYMNw7g+S2vLgn9BQ/LlvrIldqNWpX12JbaAk+Ux2kQIEHQn7cjoOYFYKReB00\nCTbuVEL4BZkUSb7UrHG3X8fvc/HNNg2XeYVflrmbi8VqptAoVcPTLw24aVgg07oBJBEE0WD/kJtv\nHNRIFmROzLr512XXc36qkr6Qx9heqAKuXDkyshvFKNPvryOeny8mCvYJvjNX4OH+fn7ubWDO7kYw\nTe47/wqL5yZYuGKCxTUp2hZkETDRUm5mXrYiFo32IvnxEE+8nOOFEQsW2qgYSSnTEuTJgzvJ61mK\ndU+RMgu02OHPWzWa7/0Y9opX3OjQwHBgluwYlTz01BVkKKMXdXwOgwe2xniqfRUCJqJgki5XCjuv\n2MMPnTrOQGIOwzQ5F5+9/PpcIUU6dxLFzIE0y0hvih91b+JkyOrXVjSRPn8b/i2349DyFPadoFgu\nEVSjRIoTzOaqvOu53DQLdYE/OW3BZL9Su5zngys4MFfPaExEK+Vx77WM6Li/m6nIesRigal/PHsZ\nqTRzBffCW5Y+hKHOXDYwXdlllEo+esI67uVXY2vqwLtqC6drWiiICjtbljHp9M17jrH6Fn7VthID\ngeJAGq2ibAXH/NQXwPvWx9k2eeaKV6oqr6TDS/02krmTPLLwak4H5/MupGQPKZuHq2pdDLvqCaer\nKIbXTx2m1u2gMNpP7GdR/ub5MP/0Ui3vuSDx5NAML42OYGgSetbB8okJto+ennftulySoqQQdfoI\n51OkfSoFSeb86upaTbfIfCCQ50afFaHu8CZ5e9DAEKv5J1FQWBUCZ3mOgq2Wj9YLZKQ3tnyPu4OU\nxF8fEHc4bDT8wbuRvFaUSHfsRXc9zlWhAoYAQyND/PL0cWrtwV/7+d/1+K1a7/6nQO/fHw8+aIEq\n3PbuDzOX1/jThSWencjhlYukKsQS3xpZR5OzSL3Qxt4MPHPyJZbPzGe8e+5eN6360ssmmGaCKor4\nbDmKUgiUDCObnkXP6DgkS/E+Epd4b8gg67dgSUOpTSTVfdT9/DUCn1p8mTHLtS5IsT9N9McPIdUI\nhN7dQl1TDiUP+tlzSICtvhFTiGHvtDa5036RBf51GEkvYsji3y6nXLywPcuU+TSdxkI6l28kT55H\nCz9EqjH5hlL1XA4Mzc9JGgUbiYAN5kA3RXb0etFtdlp2O5HM6ud8iTKELZS2U1NbuVRYFfZ6iCZn\n0WWBGk+OrKnjE2TeoYb5aSVykqzAOt8ih9ijxcljMHSiExMox6xIwfiFLhJ5jaYagYgQITdah7N5\nmmLMh113IzgyGGWJ80oOR9nDlu3XcHd5BIM1tNhGMMUcNaLM1UtqEWWJsmmQlYvIlShBSI3jLUp4\nkODaJsAAoUBKeY0am2WMFKQBHssfp3amhhsqBt4S0UVSSLLeCctcOUAHU0FzWsJDKC1CwsmImeYS\nCreoirw00EqNc4p0UcRjt+6/pOloxnwfpKxbG2tvpo6OQhavPEVkxyT3DKXo3WzjwhobC44X6Tlc\n5IcRlf9z6rt0JwYZXXgbnf4chjCHKJVYECwRyx5jeKKqPDqTU8w0Srz8JhemNE59rcrdSi1n1TKP\nHrcCnkG7g9n4KKm4Nfv9E2Nc39rG16SvctX0ZxhZmWZDpZbxwKl/RVtncHF6JUuvuIdawWQUaA7a\n0OIJ9Pg045qfRlNnpOylz5ijlFNY5nED1bqKe5YnWd2U5/mTlqKO56ercyrkeeTcGbY2VZS4KPKB\nZSv4wZkLxNLHmTBX444NMIxluA01LGVpfILFyTGKtjR0r+b8qcMsPHmW7MnP09P1TqbsAiYGNq1M\nWZKQZw9yjxqiKW+dia7UCKJp8I70TpTvHWZSqmK4h9dsoKPOy9wpQDcxcjo5OcDL6QV8a6SLq/zj\nfLr9II7gQV4c28pGyZrXyvpXxWCSNAAAIABJREFUaA8YCJtvo0/vIyjKTNuq1WhnAw1ErkA1HA3c\nwM9rOxGEELdd3M3EoRKqJPPg9e/jbzjARNJSDzMZmRWNBaaW10LFeV6pVs/rd14NUtJ/s99Yr00R\ndC/nQ3UGP3fXwRViQXR6GDp1jGwqwdGWlRQ16zqT+Tzrc+d49iJw0TIU63IZDoRWIBkGegXjpc5b\nT6yUxRBFOhNTnL5GYqzbikiE+5vIOWop28+hSypqqgvTSNPuizIiFCiqESStuj7XNTnYFZtlzNlK\nJ2N81z7Cc/k0MYdnXmvtQ0uu5b6ze3FrVccGgDXXgjIGug/BCGEqlvEmOiTyHg/DgsiEzc5V0q+P\nQPyux2/l2f+6wrz/KdCrDg0JHYn9I2lEAfzaBOMFN0vdMcaLVohwyCzTZK7hYqKZVmcUyaySCIXu\n/Tg7m5YQPXoNruQWzIrVHKsUkH2y4waafW7UooyoaxSUV/nJVHXtv13aw1IxTO3QDTgMlVUv5pG8\nymVFb5YN1IjD4tPOZ5AqfMyCJFDiCeRyDjniAMMP4hX5V0HDRKNHsnK7iZFW5g4vJnV6AWfF0+zU\nreLAfqEPyTMLgepnTRN002RxfIx7Bg5fft0oWmH2lGInabO8/EtIeieXWsqjrjCHX00wluoGBMJ5\ny9u60JfGZdislsGeOc4ZFkCJX5C5ITjCisgL7Mpa1rot30lneTE/Of5pRr3NYEi42scJX3+IfnEK\nVYJ0+QZeOJEkfaGZ6IurqRVryJU1tIyD+CFrffuMDFljEQ3S3bSbHZii5X2+S63HJlse0IBhHd6a\nK1i47rNFEAUB0WaA4cIUcpcVPUDBdpxGo8wN3ZYiNw2TZsHGK9LLJMUhdNfP0V2/xJBmEESd2Z8M\nIZVWkdZzrCls5xItxdDsCrK5DTwzKvHn26cRCxbAiVw22T50pSdWHVHJzb8daKSY6mF0cpRvLr2e\ncmYpgSmN5fsKODMmm1MXWDw3gGSadBw6gpC9hpnnHTx32DJe17fkaPZbXrLN38qLwa18pPPvMCtG\n6AbZiyIILG8oIFXwDBo9nnnzKOgar5T3oEsFXnP9nFFvjFfusMLwLUcTbPxlllPjR9mRFPiXYTs7\nZnTuLI3xwdoxXM4kxWFrv03N5fhuaRJZb8D9SJDhob8A7QYA8mVrPqubrGd0MVPi4MQ4L44O0+kP\n8Kn1V7G+OUemVGT00B4APrpiNW0+P5+otJxdTCU4dGSEg3UWKEsonMG31sfaWB/XHXqYpwb72dW8\nlBm7dX9LLvyYxrxlaNw6fIK6QpFZ0tQmrbqdOcVDXTHB5uQorYOVPXMFpKpeX4u7xs9Is1W7M3zM\nw3PntpNwHWKm7OLJmYXESzY2+MZpCvTyS3MKj22ONY37EAwHhjjDsZkSf9grMWmv7smcbMmTo0s+\nzjPbHmKyYSv3Kg2MuGFHyzJc8VlGHXV4M1Yqclefh2+8UstjJ/wUSyrS0qrHfusW69nvellgPKni\nKVWjKtIV0LaKKoNp0k2RQsFB0lPlco/ZfAiKytjRF/lBz2ZOO6uedKRYTYdeGg2ZOCeDC3m5ZiuR\nZJ4bh07zoHMtrdkE9wwcpiGXrOJblF3sX/85ji/7BOgOfpo/jZTpRvMfptMT5XH5p5hS1bNvbNqF\nKECEGcqKm+GLIr4d3+XaeIqVkgcBGFMbUSuP6UB9FXJ8whHisa7r+MpsmguzSQQjcJlV8lCyHkMz\nKTtVTtc00lhO4vItecO9/WeM30rZa5rGT3/6Ux544AHe85738MADD/DII49QKpX+4w//Nx+/PBvn\npeD17A1s5WenZ6l3KXxjPIhNNGhzJNkTt7yFJgXsIvjdx7nN/yC+GSs0O74gyHc8L9BXE0bT05yo\n/3u+EP0er8b7afPkiFYQvq5qU2k+n+euZ8rYi2tIaXbeVGfxev9i6Aa+eXoxe0ZkFo0ep23UwN5d\nYT5L3cLUP54lczCGa43l2RbOptBTZTAcKOIWgrffg+2OtyAgY4qV0GMF5xyhwM7Y1ezoey/Ji9a9\nFKJBijGfhU9umpwwenk9J5L34hoM08ShFdkR2cgZl6U89ZwDyV71uERbiZpChgmnn73COnIOhWun\nj+J3VAuM3jtg9Q9f8EZ4Or8ePVpDzB9jxizz5xNWlexfdOzj0419SPYikimRyoZZoRiYSJwtr8Hf\nGGbY1YppgmvBBA41hGxoNO//J4JpgzHvUk6K1gHWDBM9b0c/v4yckOW7yrf4hvwVXpGeB/GNVvkx\n3VLYLaKdHeVqGHgmbRkjU0aRaLENo+L56yZ4RINrKgV/+043kD00S0Cs9PLbq33nplzpD9ft/Kj8\nGBdnM3ht6cvogx2OMHe2yzj1Wi5mVyMZVo94Llbm+ZYqG1vQPh8wZDqvsWvvLmYrBtdBzc+2R7LI\nlXTi4mg1XKrHJpnb9TOMk/vp2nOKHx0JoBkC25fAomANf9LdyGpjlIqeR0GgybSR1izDblVTHjA5\nOWN50+0BP/d0LkQ3TM6NWs+v7LXyxZMdCheXKNjyJg0XNW48/SyfHZP5SbrIvv6jRO5WaVtnrVtp\nJEvWI3B+rWWAeH/5Cp4KIdGgLqKXOpFFkytDzi2BAZ7o78Muy9zVuZCc1EdzTQkTgQmnDwmBBreb\nol7Co1jK8bmLg+yx+dAk60xMZV241lmh2OKFCbKzFrHV4Z6ryMoquiDQnLRC1cFimlVLC0g+mbm8\npcD+reetAGydOUV99DX0S1S0KzdzYsOtfPXkCWbLMNhogTs5XjnMxp1fJC5Eua3nmwCIokGXK8Hn\nu/YSsMXQHJYhkS6FiBZ07u06xQPdz+FQDIKeq7AptRRk63n0+dtBUkEQME1rXwz6LCNx0h+mXrK8\n/2zpknoQsIt1hNwVempBwVmpbR3PWAq6Plvd9whVZe93LAdTZGLuADvGHJyqWY0YCONdu43Prvwo\nuVyOIe/8BjbRNGguzCcsuv/MS8zVL+TNY3spSE5+uOAuPrPqAXTF5Prx4zTkEuy7y8lW5+28r/xB\nbk99qjqdUg0JaQTBVDFcfeyUn6vclXV/SsOvyHgPoZnQUWPiT/Qz4VzIdHAFR1Z/hpjfeg6SI0i/\no5tF8XEGfXWXd9XnVnyIab91Dw8f9fHseYlCoZavDd7ETNFOLC5wdMkSUjYn61apzAWqLH//meO3\nUvYPPvggvb293H///Xzxi1/k/vvv5+zZszz00EO/6/n9lxyGafI3L47yl7tH+O5RS4DpYgXBLVNm\nouihxW5VDg/kArT4z3BNvVXluk8+wPYfZ2jq14hFJA7cqVH2TWKrtTzG9Lk20ufb+EXvKLOOA/zz\ngRMMJ5N0OOq4VriJxB238nDUytOv9VWt3wE5zAnvarzL6nDe1sS+ng2kywqipOBesQl7/Ta82zpQ\nl1gh1UJfCmNsJYIRwhFZTY3SjYmJKY9bOcIK77XufAZTmmY21wxXFLMlTixk8vhyvnR+lGllnOxQ\nhKlDKzBf28Qts+9hZMRaj5pyhhci60jJ1ZCvGrKEiSDpeJrGqcunmKrkE483raE5G6W9WBUeXWlL\ngL/QaNUl5EYa0AUT0XDw8lgV7a5NcrA472f5cANKX5TcXLW17fHCCk5MXsdwYjF2RSDk2UIg/yy/\naLmWR1tv5bzUzGm1bl7xTWzMhpa1iscMwSAlV/m985qAYZoYpknC1JjONNNmBCmY1Rx6rcfyUvNC\nml9wkLnstZB+G/8wXKVzfvqMl4lcLVpRQBYEfIKMlq1WhqNU8v93fIxF+XYWt+/BcLwMug8xczd7\nhrIMJObYXr+YLrMHwXTRmxf5wdx8go/ZQrVwccmsFWHYr7Swq6WK4Kdcdy/mb4DAzvdb+9epl8ld\nyHAuaqfDN8u71g3hsal8uFbmu+1lbjDX8VFbI6IkcDBnzeHuZUmuWmzd03UtrXxo6UrW1Fse3oWx\nSYrRunnfNd1c9UbDsRyP7/kzlqZ62XIFOxvAybDGsx/wcjizmf0H30qhkGK8Zw4RnRPlSQ6Ih1Ek\n6PRVn8kti9K8Mz/IJ1etJeQqozoOE3RaCi/m8OA17UznMpTKGvJv6ECKpsscivmI32E9x1LZWrOL\nusn3Fm3l5Ug3cZsbV7mAKyCzqbvAn26bQe6wwsHtfqugcfXEXsDgez1bOHPn3+HfdAu3r91EVyDA\nP/XP0h7xYayyaipEXWfzYwUaDwpQgXS+NP664wArwifRDAG7qFMXtIBn2mtmuHVRGo+jC1WuIer0\ncyDcQZ1YRBEMdKPARPzpy9cxgbEF63Cp1npVlT2g+/E7CqiSwYLa6v6ccVnkTDZDQzQM2pPT6GbV\nCawbs4y4QqrM+OzT9BSjJG/7JDOL7uATg0+SlGRG3dUc9hotd5lAqTk9i6+YY+NkH/9r7Z9SVEQ6\n5y5y+8jLdKVGaPT38bGaL2MrG7xyh5OpdoUANQSoYSpRNW5Hp7ahjr7Xuo0r9lB7pfMkYRikhBSC\nVsbR2MqG4R+AaXBm4bsAqxUPBL6x2M+PNzbQsXAZmijxRMsWovYAJVsQqWRFCQxTYN9IjpfHRngy\n6mX/4SJfORzhbFShxqmzuM5DrvjryYZ+1+O3UvaHDh3i05/+NKtWraKpqYlVq1bxqU99ikOHfj+T\n/n2P2ZzG4YksJ6dy8163IbBWdHOXT+fDEUugjha8bG57gpU+S2iXktWE1Wyo2vrlDaa4dVESLVrd\n+I8fSGACQ6kkLtHBsYZ1vPdCFUq43ZHAI83PGx1INPJl41b+ZvRa/mZwM4btKIHNt2KvX4Kcu5u6\na/8AucZP/ASoNe3zPqs7dnHRSDF2ZUW7oPFqyvK+cpKTXvcyDnutXmA9bydnP4AgQGEqSEmzM50u\n8f2jZyjoVuQilMmQk5zUlaZJSF7Oubtxt0/g7hgjsPocC+15JNOkUAmJ90uW0v/kc89cnkKggg8Q\nKFtRh1zKgVGSGZ9bTkDWSFxM86tyjLJpcL3fzeZuk0h5goT4RlrkVGYBmlzghJqiXxxjppLT7HGm\nMAWRmHKl1S0wd7SbzMUIqfMttFaq8L8TS/HD3jBfL43z9dI4JVNgV/97+bOzdzJxtvkN39kuObjH\nvIYwEUqUOBpfyMMTS0lpKgMxlWSxgLvTinw0z0nY7DL5s0m0VFVgGa79rAipl40wqbAN07SzY2iQ\nB08eZ1mtZcRFmeJFcYR01kvALrDFHH3DfLoSbwyRAqTDLaQla08+2no9f7Lpj7EtXveG962fHqB3\nolIAJWbR5N04F66mxxOlx1699jjVPuTtLRl8dp2FgRpEQWBXSkKXLGOgMG61cWKCaqrMNM8vJRIE\n+NzpR7g6aBnEmf0Z0vtnmPFbylgWy8yJIZ7e2saRpbXI8jSumQZyGUu8rWm1lNdrx633q2qO6dlp\nDGWYFy64eex0Nb3gzI4zMRkj/9xPmPjeP1yu8H57yvI0xUpK4qkzPv5ufBM5u40p046gVBXcmWAT\nfYEIXXKS2g9Uw703X2NQVBQmEjtJKFZERRMlCrLKvuGX+PmF8xR1jQ8sW8nfLgqyuSFN68ZtnLja\ngtNu0Wp5h385LfkpnKig+0EP0OpIscQdQ0ZGclapogHCLh1BEHCoVjX+0bp2zib2IOjnGJl5FE2v\n8gEkVQfixElWNxXIlwXSxaqHvn/SqvL/xOYYjT6rzfMfn67D71pOrWcjSdWJt5xjrW9+JX5dohdb\n5dxIokqDs5u9Uy3sngyRbbyZx7o2kLQ5QbPT6AtzU/fSy+h3kVyCd/ftZ5Vd4TvJ55FjViHx+wef\n4h+Ofo0aW572UyVKtqqB6NIDHIiqnI2XcYnWdRZmNyBqARZ6s9xvvIdGo4mt+jZuDNqo9c8QF4pk\nyaA7e4nP9FPaehuR6CFyriqzY3ftOlyKtR6RBivC2Rto4+9W/QH3CHZ0o4jL1lZdr9g46+aqqVqA\nJn8JN00kBn8/fPa/lbL3+/0Ui/OVSqlUIhAI/IZP/Pceo8n5a3GLGEDAYK3oYaXo5u2BDEv9Vvj1\nE7UKdsNOq9nO3PAJlr5UFYDuunayfc3kcgG2NulsbM9dzi0Clz3p/kSciwWTT41WD983Fz/LrDzN\nYyue4N+WPsnnOqwCvS8PXc3OWUuJ7020cDxX8dArNJYCdlwL1yPHptAySU6Wz2BIU2iO53hUP80L\n2hwRVWdPvyWMPt+/+fJ3lgSVuBIkqfg51rgEyZXD3RBFS7t451qDFWtPEVh9DlMUEQFJsGGiYAoC\nqlEkFJ5h3NaKqGq42iZ5m/N2bppcC8CiWUtJmGY1j1ZTtMB7FKeNLy3YgVtPE1OscFlv/zXsHd/C\n3eEzTJScDBsFhsrV7WzvEom/rsPFKepk8g0k8rUczEs8rt7Li5F1+EppylNJRFOn7Kqnu6aGe7q6\n+eCylXx8yUayg02UJ+qIGE4G9Dw5T4rCosPkJmowNJF82Qpl9hc8jI8H+Nb+ICNzCq9cdPGFnWGS\neZGIYBkVfeJZ/jii8K+ja/ir/q1M50TixRyKtwuAa8O1eBQFI6she68wuuQopmqxDIr5zQimk7m5\navSjrOuYmPxYeRhTF8kknCyOpLmmJ89NwxaIh6ciRCXzjQAzAGdjMzi0Ik80X8Mj7Tdxe2OI0DVb\naLj/M8i1DUQdXvprW6jLpxkdgW8fCFKY9SDYp0EdwnC8ePlaL5USrBWWgWEpdLsIdy9L4LdZgv+v\nRw0kPY9gmsixMm3TjfTk1hIZ+zCbbDcz1hIhUYH3rf1gJ/V/tAhHt5fCrEB67zCZvdPMNMn4zQDt\napmM5EEvqBTjHrLiGIbehHb+LgCWNcUolQRmL1hnq7+rje8PDvLzcyO8cMHDXKqKTXD1VD/NAwcp\njg9i5DOsTkapczpZeft93GA3uavHwcYWy5C9b/hXPNO4nJKsUhJsNBXnF6Quq6nu5XOVzslzlSLA\nb/XcAkBasQzSsmHw2uQE+8fH3/BcTJ/GmY4A4bd8HNeSHn606VXcahIML0Kp57IBiFjGlK1zZBhw\nfNSO22YgFqKE8nmCnqqj0BezsDPsaoSGmlsBmLZ7qGlWaKspsuOcD92oRja+NmU9i6BLZ4G7TDIt\nEhck5rInmEnvZ9QTpKaQI3yxl9XSUpbaN+J1Lmaw5/001L6Vev92mkJ3I1wR4o+HrMhIQbCxL7Se\nafVanppqvQxO4y5ZSlEVRIxzR2i4orjQECTuLL5E84UyIz3q5bbRR/raOJkIYzqaCZaGLr/fqxTZ\nFonjx8+92jtYY6zjTDLDm8IF3u5zgwBp9RSF9mOcGk8RyO2Y9wwW1AQxpChlQ2O44MepNtCuJ3jv\nzFlyJeuZBd3VeoRS3toj6hVHeEVDHkyVYO3vpxr/t1L2W7du5Qtf+AK7du3i2LFj7Nq1iy9+8Yts\n3bqV3t7ey//+uw/TNDFNkxcPWSFN0bAO2QQ5rq2JssRmbbh40Xq9ZJq0Bc7yZv1tNJbqyTz1KHWj\n1ibQ39nDmjUmrWUfftVEEKzXvRUEuQ7daksSBZPJfIG3DqiYCNzo1Qg5JmnRWtlvxHjcuEiPK85N\noSr7EsBb6qxe4Y+evYmJ/DCn49OMFOFXcwJqneVJTX7/S+jPP4XheIGXzUGiZoll5yWGZxUuHsrz\nhR2NPDfbcfmaZVHFlE3uWfIvNNv7sdfHkF0F/Olaut0pbnZ6UANpMhWOcZttKS9ELGU+4wxxTLZy\nyDOZJuKJZmoHcsy9ZBX5nWhfSl508HJwEwfqrDDnlriVNy62eKkt1CIAI45WdESc0ya2UhkC+9nd\nNoleUDgytZbxggf0WpQmjfMlyxNUBJM62eR6j8lUPsTu/vvmrVVS9fD5E9/Gqecoq17u6elkQ6SB\nOWcaZ6CPj61YzZsWefAocHSyGo1xNsTJ9DcRn2iZd72JosG3D4R44nwtr9pX8Zcvd1EsS0T1KJlS\nmV+OW3UYB5ONjHaFyBTLmMZ8Tmp5uWVIF/M6BWP+MTXy1vqmpaokGc3N8c/Kl619l3BjmAIdwRKC\npxW50ronOa29dbamcd71ME085QK+gztQTIMhd4R31/+Kt9fo7D50jIOxQV5u6OFnnes54bYiHzeO\nnmJuSiPzrGVIGFfUGURzi7m+9HFWCMuQcneTqigNj93giakDbD0t4NWShHNJNkQHyEgOzh0O8pXe\n1RxMRZDSy6m782bOrbMh+RTkmuqaqxVqUffyjVwj3cb92of4tOtG1npNOtTl5MIKS88eR1NcRMUF\n9MdUJlMyO19rR0iWiKZl1rfkAJMjYy4kW4mFmTFqxFnujb5MOJ+ySKMqY5WWZW04wl/te4mdBYGp\nZJCJhFX7srehm2gl/SSWJO7qO8Gdg0foSkxyzfhZaj3VCIXSbxmuk5EFqNJCHGaCx1qu40tL3nm5\n0ttpa0ajqgj2jAyze3iIOzraOeTdYK2zcg5ZtRyGvvgsDx2JQ7Hr8mfOjbdipu5hePw6cpqITTXJ\niyJNkVpKpWr3j2mahN1lPPZOFDkACOxbcD09kTz5ssCxMcsAysjWfHzpYX5xyrrXtkiRmZLlUCSz\nliyMZBOsjY1xtO1dzIVWk/V1EvSsRXRbc3PYrP1taGNk8gMUy9Z6ONR69ge2UJTsZNEJzp6+jLin\nVNqSS6NXEtla49U1f0Fq5g8xgX7/nYTHP8qC3NWYwhUtd2KOmxtnqFNHubetaoiJlesPzabQbQcJ\niNa5mDJKPKqPMXLVLzl8+wya9xia/zVsygRzRoKh4hDfvdDOhWQLdf5tpIQ8Fx0QTx+h1mVybcdZ\nXPY23HZLZjYUNK7uXMz/vj7KJ7fM0F1XpCzGWFv3uvP3nzR+q9a7nTstGs0nnnjiDa9f+psgCHzt\na1/7/3l6/7XGzx57jImpKQ7XXI0oltluT6E4AnSHDnCL3MNjg9YBGc0EaMg0EpUEFtGKEyflbGze\ntex1LgShgMtmMhJViLRZG7CpIY00YkNJ2Hnb2jmWRQr86OI6qMDsfypi8gP7wzzVvxa6IIvBT0pR\nrhqrKuWHOoZpCezl1WQzo0U7ohym0adyS5+lHLZcAUkbGkpyOBdhqOCj87yXBd48Z1+a4/qpIX6+\nPosntZp0yRJuF1zd3FN3EGFOITRQJJRysPZQDm1lAZAJIrNhj59BQyYnOtntCkK7RZEbF+ug4ujs\n7L+PZn2M2b1fsf4W9jHlWc6r7k4MQeLLiz/II7E/577zT7Nxbj8vNq1n8pxl1SfkAKP2FtoKQ1yV\n3E9OsgRf8dgyenPjfD1wOz/rKRH2Pc0H256mybGGGxzdDCbm+H7vcZyeNcTVikA1TRAE/tfZn+DU\ni9j1HEN6DbG8it8DZTGNqpzBH5yh0W4p6PP9IXy1ltC8GF+KozFD/Hg7VCLBwsI40oSDhOQmptYy\no4YpCypf2H8EUbbxqrq4+v1AX2wd7U2PcEa/wGKgV89wWEtzqxkmH1f4abxEfW2Kd3gaUMvd7Hvp\nGMddfQSWPEoxVm1Ke3F0CNPC7sAWDSAKEPaI/PDcvdyc/kN6yhdZMGvwTLCDgdcBrAimyTVjZ2nN\nzFISJc4019Nc/yyvjHSwuyjRc/SUVUQlq2ydsFzUunyaJfFxtGw1ypU+puDpuofGK8TKK+LLjBen\n2VSOUO/VWD3Rx1HvYrKFGe4dOMSszcWr9Z0kbTZWpI+RDwZ5PKnwgDtIOiAhBy1PsDxTQKm1ky9Z\nqTPv6q30aE7i5Tw1dgf/2KTzV6/EcNcFaBo/xvkOsNHP918LYgJBtZ4VeplDI05uX5LCYzMIR6dp\nycZYFI/S5wvzxIINeHwa77pwAEQJye0jkZjlmYvVPO+Bifmet7NcoD0V43SwiX2RhWye7KM5O4cJ\nuNytaAmT5NPjZCtcEopLIqR0MhHvI2fXCBhRBKx8edHbSFvIA2j8y/EZJlMWmE6zx8NnN26xvlCs\nRgbPzUhcTKV46DUXH9wscnI8yKMnS7ylO0k8n8dUBVRJQzUnuaZO5bXoLKKgIiChm3miGQXYy/Y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HpfFjUvU5zJMr6gx5bVjK1ja7pZv1ol0xtFJ8KWPQaGQkYsOide5yw6KcIvLzjJ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\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6Q1PI+SFKlTk6TZWiZAMSJ0JpFg2dkdwa90/fJNMJK0MKa74EL9U/QW9tBkFo8iGExhaQ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\nOb+vafglF7Wa3LTsS+imxsGxnfTMhBia/lscJzPIJfNVbB28g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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "returns = randn(1000,5000) # generate 1000x5000 random return series\n", "prices = 100*(returns/100+1).cumprod(axis=0) # normalized price, you need to specify along which axis \n", " #(0 is along columns) the cumulative product is calculated.\n", "h = plot(prices[:,:500]) # plot cumulative sum of returns. Because plotting all 5000 prices would take \n", " # a long time, only first 500 are plotted\n", "xlabel('day number')\n", "ylabel('price [$]')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The final price (on the 1000th day) of the prices matrix (or table if you like spreadsheet terminology) is just the last row. Let's plot a histogram of it." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean: 99.9924210971\n", "Std: 31.9031817194\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "finalPrice = prices[-1,:] # get the last row of prices table\n", "h = hist(finalPrice,50) # plot histogram with 50 bins\n", "xlabel('price [$]') # add axis labels\n", "ylabel('frequency [#]')\n", "\n", "print('Mean:', finalPrice.mean()) # show mean value\n", "print('Std:', finalPrice.std()) # show standard deviation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The mean of resulting distribution is very close to our starting value of 100$, but the distribution is now skewed to the right. Calculating standard deviation for this distribution can be misleading, because it is not a normal distribution any more.\n", "\n", "\n", "**conclusion** : an equal chance of going up or down in % does not change long term expected value. The resulting distribution is however skewed, therefore we see a price decline more often, but it is compensated by the fat tails on the up side. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## How about 3x leverage?\n", " \n", "Let's calculate and plot a 3x leveraged result.\n", "We can reuse the return matrix from previous calculation" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean 3x: 99.0548961218\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "returns3x = returns*3. # leveraged returns are 3x the non-leveraged returns\n", "prices3x = 100*(returns3x/100+1).cumprod(axis=0) # normalized price, you need to specify along which axis \n", "\n", "finalPrice3x = prices3x[-1,:] # get the last row of prices table\n", "\n", "h1 = hist(finalPrice3x,500) # plot histogram with 500 bins. more bins are needed to keep the bin width small.\n", "h2 = hist(finalPrice,100) # plot histogram with 100 bins\n", "xlim([0,200]) # set x axis limits to 0..200\n", "legend(['3x leverage','1x leverage'])\n", "\n", "print('Mean 3x:', finalPrice3x.mean())\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That is funny: while the 3x leveraged etf most of the time finishes under the $50 mark, the fat tail on the right keeps the long term average at \$100\n", "The tail on the right is in fact so large, that I had to limit the x-axis.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Conclusion ###\n", "Long term expected value does not change with increasing etf leverage, but the *likelyhood* of ending up with a loss *increases*.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Excersize ###\n", "The above calculation is done for an etf that has no alpha bias (average daily return is 0%). Most of the stocks however do have a positive bias. \n", "Investigate what would happen with if an etf would be based on a normal distribution with an average daily return being 0.001%" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.2" }, "toc": { "nav_menu": {}, "number_sections": false, "sideBar": true, "skip_h1_title": false, "toc_cell": false, "toc_position": {}, "toc_section_display": "block", "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 1 }