{ "cells": [ { "cell_type": "markdown", "source": [ "# Gaussian Process Regression (for large data)\n", "\n", "### Loading necessary packages" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "using AugmentedGaussianProcesses\n", "using Distributions\n", "using Plots" ], "metadata": {}, "execution_count": 1 }, { "cell_type": "markdown", "source": [ "We create a toy dataset with X ∈ [-20, 20] and y = 5 * sinc(X)" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "N = 1000\n", "X = reshape((sort(rand(N)) .- 0.5) * 40.0, N, 1)\n", "σ = 0.01\n", "\n", "function latent(x)\n", " return 5.0 * sinc.(x)\n", "end\n", "Y = vec(latent(X) + σ * randn(N));" ], "metadata": {}, "execution_count": 2 }, { "cell_type": "markdown", "source": [ "Visualization of the data :" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=1}", "image/png": 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iS/7cfyS92eS8FgSgqNsz5EY4t5EI0XVUhITokpycHIjEH69Rg8e+fxINIaTgqAgJ0SXtm/saRRz8sPzqnqujPfPvDiIhpBDoHCEhumT6xLFH2wRE/f0q09XHIPWZzd19u48f4DoUIbqNipAQXSISiW6cP3Xy5Mlrt+9V8HbqseXKfz7CnhBSUFSEhOgYhmH8/f39/f25DkJIKUHnCAnRIgqFYvHK32v5tanl12bp6rVKpZLrRISUfrRHSIgWad+jf6jQM7fLdoB9emlD8KWBpw7t5joUIaUc7RESoi0iIiIiUpHbZgZMrGFik9NuVvgb2YMHD7jORUgpR0VIiLZ4+PBhpnP9j9dku9R/+PAhV3kI0RNUhIRoi/Lly5ukRn+8xjg1unz58lzlIURPUBESoi3q16/vkPaId/9k3iLv3okymU9r167NbSpCSj0qQkK0hUAgOH90f8e3R8qsaFhmRcPOacfPHz0gENAVbYR8W/QeI0SL2Nvb/7NrK9cpCNEvtEdICCFEr1EREqJFEhISBo4aX6mOj1+HHufOBXMdhxC9QEVIiLZITk6u18J/p6jF0+GnLzec2336kh279nIdipDSj4qQEG0xf9mq176TWa92EBjA3j1j6J5pcxdyHYqQ0o+KkBBt8c+pYNbN+8OygUmKRCWVSrlLRIheoCIkRFtIZVIkPv2wrFapJVlCoZC7RIToBSpCQrRFNQ93/D0byc8BQCnDvsliIxGfz+c6FyGlHN1HSIi2mPzDsBtTF2b9NQqSDIAROLgHtGvDdShCSj/aIyREW7Rr03r2sB52qhS7ch62pgZtXYV/rFzMdShCSj/aIyREi0wd98OEUcOfPXvm4OBgbm7OdRxC9AIVISHaRSgUenh4cJ2CED1CRUiIFpHJZOfPn09KSqpbt66npyfXcQjRC1SEhGiLp0+ftuzSN71i81wTR4v1M1p7uez6Yw3XoQgp/ehiGUK0RY+ho1722JTZ4Tdl0x/eDjt04qVq/8FDXIcipPSjIiREK0gkkjdZcjhVe78mo97Agyc//9ztnJycWfMWNWzTuVP/YZevXCmpjISUTsVzaDQ2NjYuLs7S0rJKlSo8HpUrIQXG4/GgVn2ySq0SfO5ueqlUWqdJ61iv/rJWq5CZeGXSL4tGPRsxdFAJBSWk1CmG0vrxxx+bNm06e/bsgIAALy+vuLi4os8kRN8YGBiUtTFnYm+9X2NxfUuPDq3+f8st23bEugfIfIbBwhEutdKG7p0TuJxl2RIMS0ipUgxFOHv27NjY2AsXLkRHR7u5uS1durToMwnRQwe2rnM7PsHq0ATjoEDb9e161bDv0ing/ze7HH5XVsHnw7LQCNblEhISSi4oIaVLMRwaNTY2zvs/DMPY29szDFP0mYTooXLlykWGXw0NDX379m3Nmn3d3Nw+u5lHubJM3Eu2fP33a9iMN7a2tiUVk5DSpnjOET548GDbtm1RUVEKhWL79u1f2kylUj18+DAoKChv0cnJqXLlyl/aWP2vYklICo3+FUoSj8fz8Xm3t/fxX7tarWYYJm/NoD49NnTsnezmDauyYFnRxTVN69cUCAT0z1QC6O2gDQrUDppctlI8RWhsbOzu7s4wzL59+x49emRnZ/fZzeRy+fHjx8PDw/MW27Zt6+Li8qWZCoVCpVLRf3Ock0gk9AEInJPJZAzDKJVKAPb29rt/XzTmx8GpuTJGKWvfwm/x3N9yc3O5zqgX6O2gDSQSiVAoFAg06i+xWPzVLmSK9xz76tWr9+3bFxIS8tmvDh48uFmzZoMGaXR5W14RGhoaFmM8UghZWVmmpqZcp9B3eUUoEok+XqlUKjX8WUCKC70dtEGBilATxXyrg0gkoqvXCCkZ1IKEFItieCNNmDChatWqdnZ2UVFRixcvXrZsWdFnEkIIISWjGIqwadOmp0+fTklJcXBwOHz4cJMmTYo+kxBCCCkZxVCEnTt37ty5c9HnEEIIISWPHodGCCFEr1EREqJFWJaNi4uTSqVcByFEj1AREqIttu7Y5Vi5Vt1eY1xqN+k2YBjdGkhIyaAiJEQrXA0Jnbpq+5txFxOHHEieFHKcX/u7sVO4DkWIXqAiJEQrbNy5P7XVTBi8e3Kv3Gf4xbAbdFcuISWAipAQrfA6MRmmnzw4mxUY0slCQkoAFSEhWqF5o7oGj898WM54bSJgjYyMuEtEiL6gRzQRohUmjRm1y691rCI3t2IzJi3e5sLiLRuXcx2KEL1Ae4SEaAVDQ8M7V86NqyRvfCtwkPryjVMH/Jr4ch2KEL1ARUiIVsjJyfFt22nzlegI83onHiQMnzBdoVBwHYoQvUBFSIhWGDttdkTFXm/7b8tpNT158N5QcZ1fFi7lOhQheoGKkBCtEHz5qrxen/eLuY2HHzkdxGEeQvQHFSEhWuH/bxhUq9Uc5CBE/1AREqIVGtevK7h79P2i4c3d7Vr4cZiHEP1Bt08QohU2LF94v3VAQsyFDJsqFq/vVGTfzN9wmOtQhOgFKkJCtIK5ufm9sAuXLl2KjY2tVOm7xo0bc52IEH1BRUiItuDxeM2aNeM6BSF6h84REqKr1Gp1TExMcnIy10EI0W20R0iITjpx+szIST8pbSpAmulkxP6zc3PZsmW5DkWITqIiJET3xMbGDp08J2nkSRhbAUiKDm3fc8D9sItc5yJEJ9GhUUJ0z9ETp1K8h+W1IAC2YqNkxjwuLo7bVIToKCpCQnTPm+RUlZHVx2tYY6vU1FSu8hCi06gICdE9zX28LSJPfFiW5eDF7SpVqnCXiBAdRkVIiO5p2bKlr63K4uA4RF7AnaM2mzoFzvlRKBRynYsQnUQXyxCik47u3b57z96tu9YZGxhMXDW3adOmXCciRFfRHiEhOunw0eMTf10aKq57Vlir55gZ6zdv4zoRIbqK9ggJ0Rbh4eFBFy6bm5l06uDv5OSUz5aZmZk/TJuTNOYcDE0BSJuN+3lVq/atmrm6upZUWEJKD9ojJEQrjJw4vd34BT9F248LVdVq1eXoiZP5bBweHi73aAEDY8Q/xLPrUMoyvbpcuXK1xNISUprQHiEh3AsNDT1481nqkH0AVEByne4jJ7Vq36a1QPD5dyifz1dnvUVgU9hVhJEZYq6pnavyBc4lm5qQUoKKkBDuBV28mlat24dlsYWqbI3Hjx97eXl9dvs6derk3O2Hccfh5AkACqlqYWMH+6ElEpaQ0oYOjRLCPTMTMaPI+XgNT55rYmLype1TUlJMK9R614IAhIZs60k3bt/9piEJKa2oCAnhnn/b1lY3/oRC8m454bFJVly5cuW+tH1ubq7Q2Bzn12GBD+Y3xLoebG56Zk5uyaQlpJShQ6OEcK9SpUpLZ4yd/mtTpVtDnizbLDXq2O6tDMPks33OkzDwLDD1HISGeHWPt6FXne6LSzIzIaUGFSEhWmFQ317dO3W4f/++sbFx1apV+Xx+PhvzeDyhgSF6LwPDA4Cy1dWd5obff9y1awmlJaQ0oSIkRFsYGxs3aNBAky1TUlIMbMu+a8E8TlXvPwn+VskIKdXoHCEhusfGxobJeAOl/P0a3svb9bzooduEFAYVISE6adIPw8x3DUfGG6iVzKMgx7B1o0fQ7ROEFAYVISFaITQszK9D93Je9Vt37Xv//v2vbj91/JgN47rWPDrMbV3zHunHrgUdtba2LoGchJQ+dI6QEO5duHip+9hZqT3XoZPHi1cRzXsOPb9/65fupn+vd4/uvXt0L5mEhJRitEdICPcmzJqXOmgnylQGw8Cl1tse66bMDeQ6FCH6goqQEO69TcuAheOHZWevqKdPuYtDiH6hIiSEe+amxshJ/bCcFO3qQh+oREgJoSIkhHu/Tp9gses7ZKcAQHqC9f7R86aP5zoUIfqCLpYhhHvdu3TOzsr68bfWOVK5jYXZ5hWLfH0acx2KEH1Be4SEcO9mePiMhStSvIdnd5yfXqbWglXr1Wo116EI0RfFsEcYHx9/6NChiIgIIyOjgICANm3aFH0mIXql38gJbwYfgLULgPRaATeOzd7+164hgwZwnYsQvVAMe4Rr1qyJiIjw8fFxd3fv27fv5s2biz6TEP2RlZWVqRbmtWCe7Bpdj5+/ymEkQvRKMewRzp8/n8d7V6gsy/7111/Dhg0r+lhC9ISBgQGUsk9WSTItzc04ikOI3imGPcL3LQggMTHR1ta26DMJ0R8ikaiySxneo6B3y2ql1ZXf+3XtwGkoQvQIw7Jscc26d++ej4/PpUuXatWq9dkNevfuHR0d7eLy7hBQ8+bNBw8e/KVpCoVCpVIZGhoWVzxSONnZ2SYmJlynKOWSk5O7DhwerzJRmZfhP78xZki/SaNHfLyBTCZjGEYkEnGVkOSht4M2kEgkQqFQINDoiKZYLP54b+2ziu32iejoaH9//7Vr136pBQEIBAJvb28/P7+8RTc3N7FY/KWNqQi1hEqlyuefiRQLV1fXW5fOPnv2LDk5uWrVRaampv/ZgM/nUxFqA3o7aAOGYTQvwq+2IIqrCGNjY1u1ajVnzpwBA/K7zk0gENSvX79nz56azOTxeCzLavI9kG+Kx+PRv0LJqFixYsWKFT/7JR6PxzAM/UNwjt4O2oD3r2IbWPQRcXFxLVu2nDJlyvDhw4s+jRBCCClJxVCEc+fOffny5fLlyytUqFChQoX3Rz4JIYQQ7VcMh0YXLFgwY8aMDxM1O25LCCGEaINiKC1bW1u6ZYIQQoiOorO+hBBC9BoVISE67PA/R5p16u3dKmDuoqVSqZTrOIToJDqfR4iu+mnugnXnH2e0ngNDk/sRh/9u6R9+8QydpCekoGiPkBCdlJub+8eeQxn9/oC9O8zLSPxGx1jVOXbsGNe5CNE9VISE6KTIyEi41gaP/35Ntmuj0Nv3OYxEiI6iIiREJ5UtW5aXEvvxGlHq8ypuLl/YnBDyRVSEhOgkW1vbao4WgrDt75bjH9rc2dUpoCOnoQjRSXRenRBd9ffOLaOnzjy3zJtleC5l7Lcd3GFtbc11KEJ0DxUhIbrKzMzsr42/c52CEJ1Hh0YJIYToNSpCQggheo2KkBBCiF6jIiSEEKLXqAgJIYToNSpCQggheo2KkBBCiF6jIiSEEKLXqAgJIYToNSpCQggheo2KkBBCiF6jIiSEEKLXqAgJIYToNSpCQggheo2KkBBCiF6jIiSEEKLXqAgJIYToNfqEekJ0W0ZGRmhoqFwub9Soka2tLddxCNE9tEdIiA47HXSucoNmvf8I6b8zolpT/807dnGdiBDdQ3uEhOiqnJycoeOmvfn+FIytAGS3mPzT4tatm/q6uLhwHY0QXUJ7hIToqtu3b8sqNslrQQAQGGTW6Hbp0mVOQxGie6gICdFVLMv+dw0Y9f+tJITkj4qQEF1Vu3ZtUfRlSDLeLasU5vcPN/H14TQUIbqHzhESoqtMTEw2Lp0/YkqbLK/Oap7Q9MGROeOGly9fnutchOgYKkJCdFiAfzufht4XL15UKpU+yw85OjpynYgQ3UNFSIhus7Ky6tq1K9cpCNFhVISEcCw9PX3JqnXX7z50L1d22tiRdGyTkBJGF8sQwqW3b996NWq++JVDcJ2ZG5UN67frfjM8nOtQhOgX2iMkhEsz5gW+bv6TqmYnAKy9+1snz+/Gj7wXEsx1LkL0CBUhIVwKu3lL1Wf6h2Vr1+S0jC9v/hkqlerEiRMPn0RXrVTB399fIKA3NSEFQ4dGCeGSk6MT0l9/WFarRPwCvCszMjKqefv133z1pyjbAVtCqnn7paenF39KQko1KkJCuDRxxEDxwUmQ5QCAWmXw948De3XT/OVjf5wT4z02K2A+vHtnBcyPaThhzLTZ3yorIaUUHUUhhEvPXrxSq1QIbApjK2QlQ8DzHrtI85dfDbuh+OHD9srqHUPWLvsGMQkpzagICeHSig1bpT+cgEgMSSaMzGRvYxet+bFD+3YavlwgEEAph+jfN7JKIRKJvlVWQkopOjRKCJdypVKIxABgZAYAlk6vEwJWuC0AACAASURBVBI0f3m3ju3EV9a/XxRfWd+5fatijkhIaUd7hIRwqYydbULyM9i65S0yMdeqe3lq/vJ5M6fd7zf0xsaOCqfqwvh79crb/jZr67dJSkipVQxF+PTp09mzZ4eHh0skkvj4+KIPJER/bFz6W9v+/d76L4RjFeZFuP3pX1ac+UfzlwsEguP7drx48SImJsbN7Ydy5cp9s6SElFrFc2i0WbNms2bNouu2CSmoOnXqhBzZ3SfjSN0TI4eyV8PPnyhEmbm6ujZv3pxakJDCKYY9Qnd3d3d391u3bhV9FCF6qFKlSrv/WKNSqfh8PtdZCNFHJXqxDMuyycnJz/719u3bkvzTCdFCiYmJlev6CGxcRA5uluWqnD9/nutEhOidEr1YJjc3NzAwcO3atXmLPXv2nDVr1pc2VigUKpVKoVCUVDryednZ2VxHKM08GzZNqdEXI6aAJ0iPvNC6x8D7V4OcnZ3/s5lMJmMYhm6N4By9HbSBRCIRCoUaPk1QLBZ/9VhLiRahsbHx0qVLBw0apMnGeUVoaGj4rVORrzI1NeU6QukUGRmZpjKA/4/vlis3U/kOX7X69w3r1/1nS5FIREWoJejtwDmBQKB5EWqC7iMkhDPXr1+Hc7VPVpWtfjcqlps0hOirYihCmUx27ty5GzduqFSqc+fOhYSEFH0mIfqgVatWiL39yapn15vUq85RHEL0VDHsWmZlZQUGBgLw9fUNDAx0cHBo3Lhx0ccSUuo5Ojp6lXO4t28S22kuhIa4c8QwfM8vByO5zkWIfimGIrSxsQkKCir6HEL00K3LQcNHj9+/qIFKqaxWxePY3etGRkZchyJEv9Aj1gjhEp/P37phDT0VjRAO0cUyhBBC9BoVISGEEL1GRUgIIUSvURESQgjRa1SEhBBC9BoVISGEEL1GRUgIIUSvURESQgjRa1SEhBBC9BoVISHFID4+PioqSq1Wcx2EEFJgVISEFMlvCxfyrZycazTy8PUX2pabMGUa14kKbNuOHdZunkJbFwvXyvMWLVUqlVwnIqRE0bNGCSm8EaPH/bHnEIRG8P0Odbqqs5JX7ZtiaPjzot/mch1NU4NHjNq+/wj6rEDy84z4B3P+PHrv0eMDO7ZwnYuQkkN7hIQU0t27d//YvgtqNbx7o+0U2LrBzRtTzi7dsJVlWa7TaWTZ6rXbd++H71CcDISJFdpNRYsxh06eCw8P5zoaISWH9ggJKST/Lr1gZA6wqNoKCY9xfD6SYyC2VBtavHz50tXVleuAX3Hnzp0pc36D2ByvI+E/Aymx+OdnGJmzHWcNHjv1QdgFrgMSUkJoj5CQQkrMkgKAQoIXt7GhF1JfAkBWMqtWnTijA5/Q6de2Iyr5gWXx+hGCfwdfiN4r0Go87p18GRfPdTpCSg4VISGFoVQqBawcZaqAYXB2BQQifLcdM8Mw6xrq95w+dxHXAb8uO0cKtRIMg+w0uPug+WhYOcPZCyN25UplCoWC64CElBAqQkIKQyAQiI3N8CoCHk2hUqDDLNiWBwAeHx1m5irUWl4kmZmZLNSIf4AOP4HHQyXfD1/jCw0r1ImOjuYuHSElis4RElIYbbv0TBM7QMEg7gH4wnct+C/G1DYtLc3Ozu6rcx4+fLhl1/60zOwOLXy7du7EMMw3i/yJuLg4vrGFSiXHxU0wtUFyLFg1buxD5AUIDIQpz5ycnEomCSGcoz1CQgosISHh3NUb7Ji/MTUYjQfB2hVRVwAgNhxnluP8OrH0rSYtuG3nHr++o1dk1dom9v9u8/m23fp+8+j/qlixoqFAALUaWcnIzcTJhVjbA3EP0GIsGg3IEZdZ+vuGEgtDCLeoCAkpsDt37qgFBjAwgaktWo3H+KO4+ifWdsOpJbAqC74ABsbHTp7Kf4hSqZw+d2HKiH9Qwx+VfDO6LLuebXbq1FdeVVw2bNmmNLFFhQZoOxV1ujL27uDz0W0+nL1Qvr5i9N/rdx1MS0srmTCEcIuKkJACe7e3l/rq3bKBCRoN4KnkGLUP9XrAb0TWhHMjJs5QqVT5DHny5AlcasHA+P2ajMrtgkNufMPcH1m2fots4hl498aTS3gTyapVqNnpw5d5fHWFxvfv3y+ZMIRwi84RElJg6enpjCybXd8TfVfDsQqe3cCZ5eq+qwBAkgF5LszLqJ1rREZGenp6fmmItbU1k/P24zW87BQnd5vCRQoNDd139BSPx+vT2b9+/fr5b8yyrFShgsAA1f1R3R8Arv7JS3v58ZNShZmvy5QpU7gwhOgWKkJCCuzMpVB1x9kI2YGtQ6GUQyAyMrWQpcWpV3eCQgIDE2S8VpiZmpiY5DPEwcHBUShPirzIVm4KANkpNtc3dZmzrxB5psya++f5u6n1h4JV/zXut1EdfebNzO+RpwzDmBqKknLTILZ8t8bIzDBoSW7dnnh+A3ePMzKJGS+pYsWKhQhDiM6hIiSkwEzFhoyROfvjJUizoFZBbCFe01oetApDt6JSEwDISsoM9OPz+fnPOb5ve9cBw5+fX8SIzYWpLzauWFiuXLmChomJidl+8nLqqFNgGAAp1dps/L3liIF9ypYtm8+rlv7603dz+qR2XQm7Ckx0qN2FwD+3/N55YBu5Y3U0HsxKs2JOBy5f9fvkCeMKmocQnUNFSEiBRT2NxqVDqBkAQ1MAiLtvwWYrXKtm5rUgAFM7tJ547OSpUSOG5zPH0dHxWvCJtLS0rKwsFxeXwoW5efNmlkcbvL/vguHlerS6detW/kXYuWMHKwvzOYvnxcXH1azuteTU4QMHDiqca+CHQ3kbqGsFTJ9bc9zoUUKhsHDBCNEVVIREH925c+f69euurq7t2rUr6GvT09PP3rjP+o3Aoiao2BiSDF5MaJ/hvTdef/3xZioTu/hEje5Jt7S0tLS0LGiMj19uKL0r+2iNgTRNk4FNfH0v+n64j3730dNsg5EfvmxoyrrWvX79uo+PT6GzEaITqAiJfsnKynKsVC1bDoiMYGzFTx2+fd3yfr17aj7h0aNHcscaaDwItbsg/gEMTNRe7VhBDGJvQiGF0DBvM4uo00279vk238QnGjVqZDJxZkaDYbB2AYDkZ+JnV+rVm1/QOWKRELnpn6zKTbOwsCjQkKdPnx7++58T56+kpGdVrOA2d+rYmjVrFjQJISWMipDokeTkZAd3LzVPiK6/oUFfACpJxuAfW3pVrVy9enUNh6SkpmY9vwcARmao2AiA8OFJz6buv06fOGttl5S6g5AYLX55o7aTuGXLlt/sW/nA1NT08PYNfYb3yzFxAljT3DcHdm8Ri8UFnTNycN9rPy1m63Z/d7z31V3h22fVqlXTfMLsBUvW7DycnpqC3svg1uBR4tOQfqMOrgts6tfk6y8mhDtUhERfsCzrUbO+mseDmW1eCwKAkbkyYO62vYeWa1yE81ZsYA1MELoDjQYCQOwt9cVN7bc8MDc3T0pKWrQhUF63t6Ki7/2H//y1Z/+APgXY1yy0+vXqxkRce/HiBcMwhT7XOGjgwAPHz576pRZboSFy0wVvHh7f86fmL793796yXcckDjXRNgBVW4JlkZueUqntgOE/PHt4h040Em1GRUj0xU9z5qZJVWABE9t3q9RKRF3ByzsPEan5nIj7DzD9Ck4G4vw6MAwsnUUikbm5eWJi4tq/Dkp+DIPQUKWQJjcfM+W3lm1aNNXkWWtFl5mZGXQuOOZlQuN6Nf39/Qv3zNLj+3c+ffp0yZIlD6OSavh1LlCnbt2xU+I9GCHb0W0hFFL83hllqqB8vfhyLSrX9QkLOlYyfw+EFAI9WYboi/U79oEvBF+E9ATkpiE9AQub4NbfMDC++jy1a//vNPlYeZlMxhMZ4PVj9FmBWdcwMwz91zBgAISFheVWbo3DszCvPpa3w/J2WTae169fz2faydNnKtX1ta9St6xn3cAVqwv9ufaRkZFVvJuODk5blFK13/pz3s3bFfqzLwaNnrTl2KVQw9rrH6mrNGq5cMlSDV8Yce8+lHJYuyD5GU4tQd3u6BEIE2vWuXpszSFDxk4pXB5CSgAVIdElRXn6ZXZODkxsAAZqJVZ3wrqeaDEGsizcPJgrMj/2NGvTn9u/OsTAwMDcSIQD0/H4POS5eHUXa7s3rl8LgEAgkD68CJtymHUd0y9g5B7ps/DExMQvjbp2/frA6Que9t2TNDksbuzF+ScfBK74vXDfWt+R4xL6bJM3H4eaHTO7LHng0Gzp6nWFmLN3795rj2PVP99C94Xou1I94+rsRatyc3M1ee39R5G4uhWNB2PfFEReQPn6CPTDk0uQZqvvn7pwJaQQeQCkp6fPmzev/5Dhq1b//vbt26+/gJCCoyIkumHJqjVmZVwdKtcysnEcPbHAuxfbdu5h+SI0HQmhCNJsJD9DegLOLIdKCQZIS1C+uh+4UqPy6B7QwdDTD7f/xsoOOLXYnC9fMPtHAHXr1lVnJKLFmHe39FmUYQN+uRf17EtzFq3ZnNIxEGb2ACAwyOq+cv22XQX9vgCoVKqEtxlwrPJ+jaRmt1MXrhZi1F97D7JNhkFg8G7ZvAzr7nPixImvvjAxMZGxdoVKjoM/wswOqS9xYBoCfkZmEkJ3ICdNau7y1+69Bc0zbMwEKzfPOf/c2WXQfEKYsnydJldDQgs6hJCvoiIk2o5l2Tlz502ftzSLZyKv0kbqUm/dtt3devUr0JB123apey7BiQUYvBmdf0Gd7gADAF7tULc73OrByuVFXLwmo9o19xU/PsO7d0IgTXfIiNq27Ne6deoAYBjGzMH1k02tnOOTUr8053lsLOzcPizzhTJlfg/p/hI+n8+D+pNVkkxzc7NCjDI0EIEn+nS6UCQSfWHzD2QymcDUEs1Gg1UBgKk9Mt7g8CxIMpCbhrQ4Nv3Nr0tWFijMlu07/9xzmK3REcN34NkNBK3Kzs72DejduHXHhISEAo0iJH9UhOSbYFn28uXLwcHBRTyctXv3HutylectXcma2sKmHNLiAB5E4sOnzhXojFpqaho8W+O77Tg4HScW4ukVyHNQ2Q9BKyG2hFd7lKutVrNZWVn5zzlx6nT3UVNT1UZqDz8l+Ok5Ujsb67wv2dvbG0lTIMt+v7FB9OUm9Wp8aVSd6l5MTNiH5axkc7GR5t/Rx7xrVRfePvhugVVbXFwxuEdAIeYMGzyAd3UL2H9rVZLBi7rUqlWrr77w8PHTbx/dRLU2mHASjQagxwJIMqFSIO4BTG1hYAI+P/p5rEwm++qo91Zs3Ko2MEG9ntg/DXf+Ru8VCIxBYExotR8atOwgl8sL8Q0S8nlsCRo0aNC2bds03Fgul0skkm+ah2giMzOzQNvHxMTYl6sEUzs4VoFFGVg6Wbt6XL9+vRB/dL2mrRmnqui2EGb2qNICHWfCogzK1YFLTViX823tr/moPsNG88YfwR/yd/+bc5Oxcka5OlgY9WFl198mTZ+Z/xwHdy+0nohNMvwhxyYZWk0oX937/Ve379xjVbMFZlzBoqcGg9Z41G6Uz3/D8fHxZTxq8sb9jVWJmBlmVa3x2aBzX9pYKpXKZLIvfTUjI6NxmwA7b3/rdj/YVa0//Zff8vkW1Gr19p27/XsP7tR/2OF/jvznqz0GDeeV9WLqdEXZGjwz+wWBgfmMynPy9BnLBp0x9RxcaqH7QgzaaFithcjaGZZOaNAXi59jXSa+3wtL53nz5n11Wp4ps+Yylk5wro4xh2FTDvV6Yuo5eLaCtQucPBnX2idPntRw1MfevHnjVddbYFlGaGHv26xFVFRUQScU9O1AvoXc3FyFQlGMA2mPkLyjUqk2bPmzXY+B7br1PXXqdOGGPHz4sGKN+omZUji4Q2wJ8zIQGqZIVA3a99i+c3eBRlWv3/hmhiErMgGPB6EhMhNxeTNsyqNBP9iUg6XjlbDrwcHBGk5bOX+OU9Bc4dXNeBnBv77LYe+wHq19oVLAptyHjep0C3/4JP85b9MzETD73VlAhkGnOXGv37z/6sB+vU9umN8tYafvlRk/VZbcvhJkaGj4pVGOjo7h508MVFyqfqBfh5iNQdtXt2rZQsNv5z/MzMw2rwy0YbNyI06LGLZhzfzugu/Sb+jYPTdOVB5/xG3k0FWHf5g84+Ovbl2z3JyRsQmP4eGnrtpiduDqQ4cP5/+nr92+N63NbFRqgsmnYekMpdw093XDGpXBF2HIZsTfx+aBuLIVFRseOHJck28nIiJi2R9/sab2kGbg7AoAEBjgr7FIeIyGA1EzgHWr133wyKSkJE2mffjGu/d0qOh5/1mC0tBC4fPdFctmHs06z5m/uEBD/t+DBw/++uuv4OBgpVJZxFGEK3QfIQGAsRMmrt22h3WujvQEOHicGTrBq4JT+IXTBb0P2rtZW1ZoBLAAg7Q4tJsG3yEA2Iubvhs7pX+fXl/9QIY8V69effAkGn3G4OxKWJWFUzXE3gJfAFNbnF+DKi1gbI2s5J5DR6W8iNJkoJ2d3YOwC2s2br55/49q7uXHXQ0SCAQHPWp/cm4tN83e1vZLE/LwAIg+emiLSMznf/LbpLe390Fvb00iAXB0dPxz3QoNN87Ho0ePvHxbqwduhLtPXFJMl3FDV7x4OX7c2P/f8vbt2yGvcjIHbcpbTO+z6eDa1j/FxTk7O+etGTN5eprIBj8FgS8EoEp41Pf7AFnXrvn86cnJb1HHBgDElqjfCwDv9vZunQMuvTmC/dMQcRRWLmDVeBP1hNGoKvoMHsaKjDF6P37vhtRXkEvx5CJYFRw8kJGACg3xRpkrMBs+bsqRvTs0GZiRkWHnVlUuk8LECgIjTDwBcwfIc1l3n8A/xvm39PPW+J/sYyzLdh84/NLTpHS3psbpN20m/XTpxKH3f5OFo1Aonj175uDgYG5uXpQ5pEBoj1BXSSSSyTN/dqjoaeZUsXLthleuXCncnOjoaEvH8mt2HGTLVIWROYZsgWNVtkaH+6oy43+cXaBRS5cty5EqoFYAQG4aytWG33DwBOAJ0PwHlUutw1/bt3hvz759LKuGJAMm1jC3R8ZrABAY4MUtiC3BsjAyg5F5qkT16NEjDWeamZn9NHXS3zs2zZs9w9bW1tLSsk2Thkzovz9JVQrL4MDv+uT3Ex9ATS9PPD7/Yfnx+QZ1amkY4Ntp33Oguv96eLaGSAxnL3bi6cm/fn5H59btO2nl/T4sM4y0QpO7d+++X3Hu0lW0GAOWReRF3DkCQzOlRdlXr17l86c3a1Rf9PCjQwjJz20tTIcNG8YkPsWtwzA0hc9g9F2NjjNlaixZsiT/70WtVj959gLyXFi5YHYY2v8IQxPIcwAG1f0xcAMaD0K3+ei78vT5Sxr83QCAT+sOcvAhNAAYuNaEuQOeXEJgM4QflLvWa9Vj0PFTZzQc9bE//tx+5LVBiv98VfS1zAeXn73N9mnZXq1Wf/2V/+f58+d9Bw21cHY3sClbuXEbC5dKFs5uUVEa/ZL3JTk5OZcvX758+bKGN8DoMyrCr5BKpT8vWFzdp2X1Rs1W/L5OpSrMdX1SqXTslB9NnSsKbFwMbctW9qrVvWevvXsLfDV5HrVavWT5KgvXysuPXEs0KJOlwJMX8U069izr7lnQK1Nevnzp3aJ9ukwFVo2sZLjUxKGfkPoK906wkRc2/bkjJSVFw1GRkZHT5i1914IqJTKS4NYQANRKXNyItd2QmfTnX7s0/DFhaGAAoSGubEXnudg/DeXrgcdDbjoEBmgzGW+i8OwGWBYMs3jp1+/4joqKWrhk+c/zA2/duvXx+v3bNrVMC7Jd08puzzC75Y1m9GndplV+TwdVKpVJb15j51icXYmoKzi7QrRjxJ7NazX5jj7r8pUrnQcMb9yu6y8LlxTlp9WrxGS4ffSp9CbWKubzB3ucnRyNsz65ONYwK97R0fHDotgEWckI9MO9E3j9GFsGsdKs/C9ymTpulE3IGuGZxXh2nXdjr922XjvWLjMyMqpXxQ0iMfqvRaOBKFsdjQdh6LbFG75ys2ZISAjEllAp8OoueAL4DsX8R1CrwfA+PBgPgIefUrPGkcvlDx9HwtAUrBoqFVg1JJnYPw1df8XLCCREZvGMuw8dFRMTo9E4ID4+vmbj5kZl3EZNm6Oq2RlbBsPBAzw+3H1eMFaOHtVfvHih4ag88xctrlCv6Z5TFzOUPLZKc7BqCI0yZPCo3/T7cRPZQj1m4eiJUy6etZt27e/XY6iJc6Vm/l1zcnIKMedjmZmZDx48SEpK+uo1ZfnLzs6e9NPPlev7VfdpuWLN+sL9UC1epa0Inz9/XqOut4G9m5lL5Wkz5xTl0rIXL14M/e47c+eK8w5cuX/33v2o55NmzXWoWC0zM7NAc1JTUyvWarhm36ls76GqMlVlCtUT85qHUu37/LTCrpxHga6jAzDzl3lCa6dpC1fKDcyhUuDVfZjbwcgM5erGWVSxc69+6J9jmk+bvXBZatmGUMrAFyA3HeEHYWqD15GwdkX9Xiqrcq5e9SQSiSajug4czootYGwJMGAYqKR4cQsANg9CVhL6rcGo/ReU5XsNGfm1SQAwbuxYqFn4Dcf2kbAph+c3ITSAUg4LR5xeiqFbMP0CZoUhYPax4K/cqb1+y7bGPYb/FGX7a1y5NqN/nTxr7vsvmZiYnP17b+T5w8GrpkbduDRp9Fey7d69+4V1TfwcDgMxIo7BwFjg5FHoHwobt27vPGnhkXLDQpstC3wiruPXuqD/MbzH4/GRFAO1Em+eID0BSjlUn3+yjK+vr8XTIMTdf7f89Kp1WpSXl9f7Db7v1w1nV2DoVni1hbE1Os6GiXU+tytER0fX9muTVbmdKv6xwZ4xHnc23rlwolatWgDm/zwTSjkqNMTj8zg4A4dmgsfL+VrfX79+nVWrYGKNtd3xMAiZiXgYxPAFAKD85JvS8ClyAb36swwPCimcqkGtwLPruH8aFRvi0EyY2iLjNXJSZcb2HXsN0GTaq1evynrWvVtzlPTXx2pGgJv70KAfYq6hbHW8ugtT+8RcdaM2nTRKBgDY8ue2WQtXsIwASjlEYkRegIEJpp7H2MPovXxj8MNZvy7QfBqAQ3//U6l2o879hqRm5rBVW4BlWeBixBNL18q79x0o0Kj31Gp17yEjrV0refm2sa/pZ161sUOlGvfu3SvoHKlUevXq1RqNm6994/jEe8L9NEyet9y5at0HDx4ULlhxYQr360bhDB48uFmzZoMGDdJkY4VCoVKp8rnW4D8yMzMHDPv+6KlzcHCHZ0s8uYyM10as4uKRPfXr1//66z+1Ys36KbN/VasBSwdkpaBsddiUR+orxIaXd7B+9uju10f8q2ajZndj38DcAVnJkGSh3VRc/ROVmkAhQXRoRRvx0zvXNBy1cu36SbN/Y3lCVGmGpGdIfQkG4IkwcjeC1yAyGCyPp5ZHXD7z8Y+2LzlzNqht76HwGYyQ7eDxweOjgjde3YfPYMhycXkzDIyRnVLD0yMi9OvHoBhrF5Svh+xUpL2EXAKxNXJT4TsEb6JQpgruHIE0GwKhmbFR+Ml97u7uXx3YLqDL6bC76L0CYnMkPuEdm9euSYMTNyPRYgxy0xF+CGBhXsYg/cXrO5e+9PF7aWlpHo1aJY+/+O4mcZa12RRwcdsyT0/P99uE37o1aPTkt7kKKOX1q1fdtna5tbX1Z6f5tGgbUrYLfIZ++K4PTj8+rmX79u3/s+WjR49iYmIqVqxYpUoVfA7LsmU8aiROvArhu1smDM4uWdnS7vsRwz67vUwmYxjmS7f0NW7ZLvTxC/CEcPKEJBOJUYaqXEly3Gc3joyM7Pf9hPjULLBqd2eH3ZtWf/wRvm/fvnVs0F7BN4SzF5yr4+UdxN4a3a3lmqULPzuttl/rO80Wwfndf29mf0/9va/3wH59AKhUKqGtK1unG7LfwqsdMpPw6JxZekzGyy9ekfT69WuXqjWVpmVQpjJeRoBhIJdArVwxZ8qUXxerGg5Eqwk4sSBvZ9EwJUaSGPulUXnevHlTtmZjJU8INQunanh5C3Ip1Cq41sbbZ+CLUK8HhIa4e4J5+zzxyR3br50kdqpYJcGjE7rMA4Ap5WBmiyrNkfIClXzRfDQAKOXMmi67Zg/r0+vrz1uPjY0tX7UmnKvj7XOolTC1hSQTzUbh6laoVHDyhCSDSXgUfPRgs6YafYLHqjXrpqw/qLStiNv/wNIZprawckLCY6QnQCRmpFmr5/00ZvQPmoz62Hejx2/d+w/USozaB1kOzq1GWpxAkh568mC9evU0HBIaFtZ10MiU5LfK6u1RtiZCtsPaBYnRYNUCefbgXp2XzPtZw4/9kkgkQqFQICi2a1xKwx5hdHT0ytVrKtXyPnoqCIbGUEgR8hesyoLHl6jQoE2nNgHd0tPTvz7oXw2aNJ80e77axA6GJkiOhXN1ZCbDzB7Nf0Dbqc8TkjQ/dr9py593X74Fw0NmEny/A9S4uR8+QxF1GYZm8GwVHZe4YJGm163NW7iE5Qlh64aKjZGRAFkujK1hWx6rOyI6BC3GoeNMtaNn/ZYdv7obl5qa2rn/UBiZw6oshIaQ5UClwptoKKRQqxG2E7W7out8tJt690ns6rXr858WExMDlkXjAUiMwvjjqNcLskwwPJxfB2kmMhIgy4HIECpFZnp636Ff2fHKycn5fsK0BzFxFoaMaN94o53D67/859ntkKOH9gukGXhyCTlp+PESZoahyzyFJDciIuJLo+7cuaOs1OzDo1IYJr1qx6uhH+7eS0xM7Nh/xKNOm5LGXUyaFHrK2j+g75AvTcvMleDlJ78DMbG3XF0/uYleJpM169Ct6YjZfbeH+w2b2SKgx2cPS8TFxcHW7X0LApBV8L0SXuBfsfOsWDCXUasw7TyGbcfYvzFkS5kyZb60ceXKlW9dPP3i5vlXty9fOfX3fz7IXq1W8xW5aPYDmgyHUoYaHdBk+KXQzz8xVSaTJaTlvG9BAJl1+x8+mcTphQAAIABJREFU/e4cKp/P79a2GZ7fgFyCa7vxNha56RKFOj7+iw8u+PnX35Se7WBgDJ4AIjEEIliUcbAyGzlyZPXq1fE6Ej/XxP3TkGQiI1EqVxw8dCj/v5moqCg1I8DgzZDlIOkp1Gqwashzmbh7UCnRZR4eBuHBGSjlrEj81fOXABJT0uHy71lhOzeARXoCEqPetSDLIvkZ691n41/7vzoqOzvb3asOTCzB44HHB3jIeA0egxv7IDKGuT3UKhiZs3Zubbv30+QnWHR09KSfFypH7kN0GMCgbHUkPMaDs6jfC63Gw8qFdfAYN3uB5geBr1+/7uRRQ2RffuuO3bAqCw8/PA7GgelIeYWcNKWa9W7TZd++fZqMevToUZMOPRKzpEqlAmJLHF8AsKjaCkJD1O+lrNJyc8jzyrUbpKZ+8QEU35TOF+HvG7c07DZ00tHIRJ4VhCKIjGDtAtvy4AsgNILIiK3c/OwLiV1Frzt37nx1mkqlMrVxvP4wBiZW4PEhy4HAAEJDtJ6A9tNhZI6YMBiZ127UNJ8fvh+bNO1HOHpCkgGGgdgCLAAGodsx9Ry6zUebSegwc+6SFbGxsV8ddfbs2dTUVFRtCVk2Ep+icnOwaqTGISkaYDDtPIwscHED0hOkLH/ChAn5T7t06ZKUMUDr8bi8BY0HQWQEhQRZb6GU4/IWNB2JnoGo4A2XWui/ZubCr1zZGBYWBobBvmnovRIrO0Kei4b9YWjar0c3JikGT67A0hF8IRw8YGwZ/jDqzz+/+Pk+CoXCq2GzTUll4iaEpP8cqRi63c7KMvjoAVdXVx6PN2P0UMTeQpd54AuhVsGijDpg9vmrYV+aZmpqmpvyyQfHC6WZlhYfrsc7cux4St3BsC2ft6iq1SUmTfGlB4S2aOqHmGu4thtqJZRyBK0Upb34eOcSwLSff7tm3Sx58N7strOSh+wLM288Y+5nDm3Z2dmlv3r6yaqUl25lHb70jeTvUkgY4z8DRv8+TaZCg1yTMvk/fsXAwOCzlwTb2dkpc7Nwfi1WdUDYLuydhGPzkhJf//+WAHg8nuQ/hzpVCtFHYzu2bcUYiFGjA8YdQe9lmH5R6d5k0dIv/ud08+5DVGqCkXveHa4XGEKWM33MCCMjo35dA3hxETAQw7sPZLmQ50Bo1GvQ8PzPOr+Ki1crpChfHzMuw9kL1i7w8KtcvXbD6pVg44YTCzB8JwZvQsuxaDlm874j+Yz6lxqv/v1laOgWZCYhOgRKOQC8foyfa+DgdDy9ejU8YvGqrzyxr/eQEUq+EMY2ePscKiXK1wULKGSo2ACGJuAJYFUWPoPRcIBcKO43ZHj+0yQSScd+36kZPsQWYPhQSGBuD7USBsZ4cglyCYZtx/AdbMP+Tdp30eDbxPdjxjdo3Smh0RjFhNMQGUEphdAQ5zcgKxkVvDHtPFqOY6u26jN87MuXL786rVnbAJWtO7JTIRDg1mGIjDBoE8J2wtgSrx/Duw98hybyLDr0HqhJtmJXPEUYHR29cuXKTZs2FeWZyP+RkZHx4MGD/E/AvHnzZt7qP96OOsVaOEGeA/Agy8k7CIBnNwEG0y5gyBa0mqDwHd60Q9f83zNSqdTW1T1bxaDpSDA8AOALoVIg8Smqt8e9k/hzOJ5egSQzR66s5dOyXmO/fKbJ5fJhI0fmqAX4H3vvGRbV1bZ///Y0GHpHQOwIgh27KIq999411sSaGLsxttiNmsTejb33LnaxYC8oIAgI0vv02e8HiCIicsc8z/9+3iPnwQdmz+Lca/Zm9rXWVc7r7RNKVUOTRcXmGA2kv6NaB0wsuLOPFe25d0Br5uBZrc6q39cUwrZ569aWnXuitEKvwdqZRyfx9MfCHr2W7FRKVufUIk4vwqc5neYQ8O3649f2Hjj0OTaj0Tho1DikCop50vtXXl7D3A5zO0GbiUGLXo1vZzYMYHFTbv3JueVZWZmFLEhVKlXQ/ccYDVRpy76JiAaCD3HrzxqlHJYumCtRmKLOwKBjwmlGH2b6LbrMGzvjs2GPbn0Hvs4QxYBcxU6xXL13nm1PnDyZ8+6woUNl1k7oNewax7x6rO/H6aVnAz+rqxl4/Zbm5U0SXue+zko2Xtvs3/CDlynszVudTXFEkdDr3NhO2E2jjdvnTIi3RxkhPZYnp1ngz8JG8ls7VsyflW/M8TMX1HU/7ClV9YYcP3uRT5CSkoJBz8U/yIlNJEcJJ+aVcnX+3AcpHAnJaUblRz4lUWnzuVt25erVLgOGN2rfY+HylQVGJU0FA5mJzLzL1GvMfUrXXxKS0wqkevDgQXZWBnn0caTnf+3Rrvn7l46OjiRFUa8fT8+y41u2DReLV7oa/LggMkRRfBXygtjn2LgwfCdTrjL5ssTSoVWrVsCE0SMFTTbulbm2hYbf0GgEDQYbbVxHfVdAlUgONmzeOuDnPzC348xS7NwZsoUfzkmMuinjv501YzppsdTpzZpeLG5G8CGC9qSmZxayXNbr9W269RWkSoJ28+AYooiNG3X7yPRqQZNJ1CNWtKP/WkYfof8aw+zHczYfvnHjs8qoISEhJ06dQWaC0QAgiEikWNojgtychAjK1aXPSqq0xX8Y40+du3b7c1Q5cytTyffFy1AEgfR3lPJFLifiPjo1SmsUZrT6kZgn/NaF23vfxsVv2bKlEDbg8uXL67btovUk6g/Mfc7ITHh8GlGP3BTfzixtgakFNbuJtXpUqd+k8G4nERERCekZZMRjYo6JBVZOGHS4epMSjSAweBOPTnD4J2zdb957ODFPFP9/Df+AIbxz506NGjXevHlz4cKFGjVq/EdOyAJhMBj6jxjj7d+u9eTfytZuMnLC5AIDmQaDYceOHRnlmyFT4FQWBHQajEZMLXEqh2jAbyB6LbNrcmsnyVHpEitfv8afy1AyGo2evvVSMrJRKPHyR5OFmS1KSwQBdTqqdI7MIjsVCwckUsxssXa++/SVt2/dAtmysrLcPXw2HjwPIs6eiBJEI/cOUqcXGQlIZaS/49QistOIDEaVoUU6Zsa8Zi3bFMi2as364dMXirbu1OrB8wt0+JmydTk8E3U6GJHJyU7hwXG8m/L6Njd3EB8qyk0Hfjvhc1fY0b1MmsQc0cD1rZSqwdijzLjNuOOW1tZvn90TRCMHpiIamXWf/muYcEbsvrTH4JEFUomi6Nei/e9vbLFy4v4ROs+h1680GCLoNKePHXJ2draTGZDJafEDkfdY3JTpFbl7MEtnVKvVBd7T42cuULpG3oNqR8+nf0lXu7m52YkZ7JuMqRVOZchKRmZy/3nYrc90O5o6fxm9V7C+LxsHsnU4y1qZKWTOzh/sjV/NqpYvz7G8FTf/RJ3Btc0pwWfyeTtzkJCQ8N3kWWKDoZhYIAhIpGLau26d86dFGEURSZ6vlSApsM46JCTErGoL4sOYW5sF/mwcJNbs/i7pb353mjWsa/Ps6IfX6gwh6oGnp+enI39bu6HjhAUH3Qderjvn57vaWgGtPp2eVhToOBuLvwKltXqISusCc8S27z+qbzOdfZPZ8S3H57G0hSLmUcvmHyTZ6tevLzHqODaXmzvwG0zAdyRGvn4dUeCnWLNmTXbp+gTt4uU1AEFC0K5ixqTy5csDgiDIpDKin+DqReQ9LOwx6pDINu757IJvzNSfDd8d5ofzPDzOzMqs6iCZVmF8y6r9e/ds1qyZXJtB0G60mdi48vYZabGi3KRR68/muYyZOPWMrqx+2g0ECbvGMdWTqV7K4H2xYc/vXzqpXN0Zq2KU++uBIJFlNh6789Bn9cprN22LIGDlgpk11sWQmvDqBqpMdGqSIpAIVP9r35YUSWKEqLQqJE3vmxGj4tI1lKuPzIT1/Wg6Brk50Y+QSEgIp3QtXgSybQQOpfHthKXD4JGjV69Z+zm2oNu3W3TtK5qYU74BgNIauSlxIYhGdFpsXNk+igmnqdSa2OcorVOL15y3aOnn2ID09HRRaoIqFb0WdRaiiH0JkqPQqqjRjTNLkZkwPYjhO/nl5eorYZu2/R31+a/BP2AIf/nll3Hjxi1btmzPnj1lypQpxOtVRMz6ZcnBBJuEcZcTqvdLqDV0263Xy3/Lv1uKjIws4VX5x7mL1WlJAD7N0amRK5BIcKtExF10akwsWdKMgFFEBJP4GkF4+OylR8WqBZrqs2fPRqfrkEqRKgi/zaB1JEWgzkChxMyOfZPQqhD1ZCRg48qANXx3iPYznoe/KbAKYub8xfHp2Qzdio0bb59Ssxsu3pxcyMMTmNtydTOvriGVo87A1IrhO1kYxpgj55+8mTxt+qds85b/rstMp2RVoh7RawW/dSIpAldvAXZt3mBvZUncK4x6Yp7SZgoj99B7BVOuqixcjx8vQMijSh3/5Gwd7WdRrSMhl/mtE0G7ObNUtqTJ6b3bXFxc5k8aw6trtJmKIHBqETMqcXjGhQsXC3TfHz58ODhVJrb4nslXKFOb/dP4c3SxF4fCH9zMSTlZPHsGBgMvA9k0hMRwNJlE3DVmZ1y/XkC2Z0REhMHcnjcPybP0EV5eqVHZO/d3QZgwcojw+CRPztDiB6bdZFKgrlKbQaMnfsp2/PhxvSCjeGUmX6HNFJp8x9RrOsNHXoE2bdqYhl2lbl/6/UHAKAaso+20GfMLKMnYvXu3zsWb9jPo9wdTrjHlqqFCk23b8hd0+9erIw/+UC6puL8/oGH9T9nKlSsniw+h51Jm3OaHc0w8byFofTzLfTqyKGjWrJl/MWz3jOTpWe7ud1jbbsX8WZ9qFxgMhtlLVqYM3k2pGjiWVjUeG+pcf/ee/NEsQW6Su2Z/dILL6wi9gaXj69ev+QTJaek4luHHi9TrT/HKDFxv5VIqbx2IlZVVhTIleHyaIVso5Yt7Zbov0hXzLrBN45Lf1opV2vHdIfb+wJTyTPHk9JI5P45932S4fq3qqDNw8WboduoPoM1Uhm7Xi5ICF8oajUZtAKUVSismBTLlGm2m2liYL5k3K2fAounfkxyNQY82i/5rmHWfIVvTDfIjRwpwkEZGRq7bscfQZDSWjsx5RPcl1OrhaG2WFRfh4OBQpUqVatWrorT86G9MzJM+syu4fft2WnoG1sXQZKBTIZHRYBDV2iOKe7es83cyCIIUdQbabFZ3Z+dYAtcZMtM6du9dYI2NRqPZse8Qng1pMR6jnnL1OTwDS0eUVhg0iEaiHrJvEjW6kRLNo1PU6ikGjBo1de7c+QsKnF7zLn01Zf1AIDEi99CI3YggkSGTkxiOwpzkKH7vjIkFmkyS3vyydMXnvHc/z57j6xcA0HYGBh0SCea2eAWweQhSGRkJ3D9Ku+kIApH3WdQ469G5YWO+X1jkRpj/CP4BQ3j27Nl27drl/N62bduzZ89+JeGug0ez6g9ndk2ubUGblY18+rxFeTcQSUlJtRq3fKtViMW8eHWNjARMzBl/CqUNgoS7+0mNwcKeCysxGri6CV028WFkpYgmFq8T0p1Ke124eCnfScdPm2VUmOPpjyaTs8uJfcH4UwR8h04t0aQjCGQlYzQgSBl3DA8/bN0w6nHzGTlx+qfB/3WbtyFA8UqMP4FBx8HpyOQ4lZOq09fPm7xk6ljzYzNJeoOpOcP/pHRNJFKKV2LM0aXrt+ejevXqVXKmimKexIbgUY8bW+nyC97NiA/9dlCfnt27Bl89L5MY0GvRa/D0R5XO2eWs6oRCuWX3/nxsq9etfxQSiqkFSks6z2XgesxsubFNuLz+ypGddevUAcZ+N0oilWFixqr23N7DwHV8f9bQ8WfHsgWUjvQaOASvRgByU77ZyqIw/IfNm/ZjqVKlcgYM6NurTqVy3NqNCF6NcSxLsfK4V27VY+Cntz63zq9sHfb8QEY8mkyubjR5fDxvWubo4d+YyKUEjKKUL9kpJEXSeW5YVOynO5vVq1djX4JbfyKRUsyT4pV4fduo/cgZKJFIlEoltXu+P6Kv0/fspSufzi0yMlIs9dFWVSxd6/Unwd1VC2eXu/eHYkF9ZlaRTPcxOTlv0ugCkoPc3NxqlnI0vbAcowGZQvr4hEtkYIsWLT4dWUQc/nPT7ondR8tv/uT+5uahrT26FqAMEB4eLnHzQf4hEzu7TMPLt/NHu71LunBnPwv8Cb2JVM7VTbx7lS8UmoM2jetbPj6MREqZ2lRth0xhqkrKl3g56buhkpwt/rPzXN3Iy6san9a37wXnozIajRFvool/RYmqTL/FLy/5JUSwcSlbtuz7MWeOH0Zu+lE1oYuXYGpZoHehQfO2okGP7q+sMaUVRr3S3Pz9gOHDhyOKSKQM2YLRwJ4fOL2Yen3HzywgP7b7oBEGc/sctR2kcnw70XG2qYX1eyNdtaIP6fGkxJD+ji1DmebN2j43b9woMLHul4WLMDEHAXM70uOxceH+Ee4e6NOxZbduXS8dPzBlRF/h6M8cmEal1mSnos0UW064hKdTuUqvXn0UWn737p1NCQ+DUUQio1QNeizl9h7iQzG1MBW1WzdsGD6gD49OoEpDr0WTxaxgGgxGZkrZOjMWrcgnlaDVahu17phu4kD1zuiyc6uKgZLVaDxcgR6JFJkpBi37JjF4E1fWYzRgZqu1Kla8nHds7EexZFEUff0CZi37Q1+jB0h4cpo2U9CqiHtJ5D0yU0Dk9m70GqRyQm+wsh1ZKZSqYXDxmrxgZd2Alvmum8FguHfv3r59+xISEj69ql+Dr00/TU9Pz8rKep+i5uJSWIheo9Hs2bPnfclIzZo1O3QowBGh1mhY3opWP1KxORsH8/aJSq8r6eMbfOWsg4PDwuWr5i1erkWCpTnfHiTqIb+2pUwt9FpzND9PHXclKDg89KURnodHi0pLslIADDosHdFmY+mqS4tr1rl30utnZmZmgMFgqO4XEBKTiKs3Jarx8hoyBde3cXYFOpW9jfXxvdvHz5z/yNw8OyMdK2eU1vzehfAgqnXAyilVEHzqNj6+c9P7NOILFy9lZWYiNyXmCaVrMf8Fz85x/ygvr759HZKjnFS/ZrV6AS1EnQz3KqgzuLqRt8+wL2nQ6/OGbVJTU/3bdtXpdLQYx85xpMfTeBRht4h57KQwLpo3W6PRODs7x4a+cCzrjWgk4TVLmwMEjMTM/sCNLT0GDdu25kO714Ur/kCuRK8jaBfeTfHww8OPrGTJbN9q1arlnFoikZjLhYzr23jziGHbOb+SmKfYFjfW7de2S49zxw+/Z8vOztYYpcR8rO0S9VAmK5H3U6xZ+WvVeo2wdaakLwpzYl+gy9Tp9YmJiZaWHy2iJ8+ah0FH3T5E3mfTEHRq1JlDe3cyGAzvfdpSqVQqkWDrxpqeZCZh48Lb54K5VURERL4ESIPBgCqdsJtsHU65eiSEE7Tbo7htvsCYRCLJuwFFFAVB+DR4ptEZCP84ThN+q2HXbvlGymQyE1OlvvkYqnc2QuaLi62697sXeMbExISP8ef632YvWn7wN3+9wVC3ZvXlR/cWeN7cs2s0gvCFYid/f39/f//34z8dYGdnJ6Z8tGgTUqJLezrnG3xk786SleuIw3dQzg/Ab5D0xNz5S36dND5/NC6gkb/JlFmZSe/Emt2E9HcOQevXr1qYj83b29tWezRpURNKVsPNh1s7ibht32xyvmGnT58WlVbc+pPKrSldC+Duft4+q127dt6RNSpVuGv4KAtXqZAZDIZ8bFFRUXefvsTEgk1D6L8apTXxYez4bsjQHu9HSiQShWDQ6tQ8PceN7ZhaYuPK3YMRWUmZmZl5M4ni4+NvP3xK9U4E7abBX8UzD476Vqn0nm1Yvx47Dx1PXdkebTYGHQjITCLjUz1rN179y4xBg/KEjVWqC9dvY4DSNZCZ0H4moTewKyGkxCxb9EsO4czp0yztHKfNXWxUpWHtQlIkj06TGp1l5hTQvmvogw//h/6t2qst3dBE8vQs6gwqt6Zya9Tp/OJ/4/Qhb2/vHl06jhg6xLdZJ2PwIVpPIiWG37vQaiI1uxH1sJJfs5unD5Upk9sOrN+wb69EawCqdeDaJiKCWeCPTIFe42hj9SLsWa9+A86GJJIchbULF1fjUJq7+5HKkZumG+Xu3tVeP7rj5OSUw7Z23fr7j57gXpnev+LTlIPTSYrEzl3ITpW9fexobyezckrQSVVpSUQGs3EwCjOQkPQGbRZG/a3gRy07dps/c0rOIuz169cNWnVKzlLjUJrEH319vAJPHCiKZKNCoRC+VHP6tTvCnBO8/36KoljIKQVBMDMzs/kLOXboU7g6WKPJokYX5tVHYYZRh14TH/e2eDnvEuV9flqwTGtmjyBBJkdpRfkGTL5M/QFUbe/j7fXdqBF7t667ez0w+HrgT99/i5Uz6nQEAYkMBEwskMgw6kWJ1MXDp36Tli7lK1s6u4fEplK3H8nRPDpNhcY4lCLhtZARP6JX58jnD6tVqxZ4bF986BMvj7Jkp7KuL69v41qRx6fRZOFQOg1lsy69DQZDXFzczl27Zi78VTS1Qqdhx3fEvgBwq0RihKmZxXv9wGrVqvk39EMiy42cyUwwd+D2PjE77Y8/PiSb9Rs6MrbudziWxWBg9CHePODP0dz6UxEV/OzudclfsShLS8tKPt5kJrJ9OAYd025QbwC2LnSeu+9O+HsnZHBw8JuYOIx6LB2IuMe6vjw6wY3tzK+/fM60vDfu+2+HS65vRKFkx2jiw6ndm9K1uL3nzoOP6l6HfzsWiUDEXe78Vah7ew+vrr/3EOTA3t4eiZTiVTi9GJ0KhRKZCRLJipUr8w5LSkqKScnCsxHr+xMZjFdjjAapQTN44MB8/yG92jXn2FxqdueHc3yzjSlXdKL0bWz+zMbo1GxSYnCpQPUOqFLJSsagmfXTzHzDmvr7mdz+EJMwvbmlZZMC0qBCY5NIj+PyOkQjokjQTumrq+8Nz3s8e/YsWlbMWLYe51dyeJaoykxwq1tg0oRSqfzlp6khd66EBV/fsXbVFyvYvh4WFhZVyrjKbv3lzk2Ocrzxe48uHfMNc3JycnByyrWCABjqDzlxIX8taWpqasmKNZMqdxfL1efBMU4t7tLUr2EDv3zDvLy8tBEPaDGBnsuo05uWP4h1+1+9k38b+vh5iCgzpWIrNg5iZhVmVGT/lHrVKuZ7nkwZO1J58dfchUvEXWHP965WiszMzHxsixYvFhXmDFrPmwcsbMSsavzeRZGdNPnHj1o6//LTVPQarm7Azp2UKNLf4ewhykwatPioiVWlGvVQKCnfgLv72fEd17aw9wfhz9Grl8zL+zF3r17qLNVg5YRBT7HyCCCRITcbNXF6Xpfmjz/NzXKrjkRG2C0cSnNiPg+PE3K5f/dOefVFx48a5uTkyItAEl/j05SYx1g44FAqOiFtwfLcpW1UVFRIyEuqtMXWFb/BzKvLuRVcXsey1nYKo7d3bkChQoUKk0YMQJ2GKHJkFr1XUKMbydEkR6XVG/7tpJ9yhv3xx+p9h46KWcmkxRH7nDFHGbgOr0aCQTu4c6uo5/fNzc2PHtw/pmsTuYmS9HjCbhJ2E5mCev3puZzSNQwm1mWr+127dm3r1q0LFiyYNH+ZaNBSsQVAlbYM3U75hiiUjWtUjH/1KPxh0MsHQXt+/dmrpKvkjy6oMzC3x6AFEVMryvlRpfWZ4Fc1A9o4lvHxqlqzct1GifbextlPjBPOGOeF3DH1GTbme/4h/AMF9ZaWloGBgb6+vsCKFStOnz596tSpAkcWsaB+0vSfFm05QNMxXFyNKhWdBokEmQl6LXITRJFWEzk+Hwt7pt1E8teK4EXgANWpLb8ve8/z6tWreu17J0ZHoFPhWBZLBww6NFmkxmA0IpFiUxx1OrbFKVUNEfwGse9HEl6jy5bKFAfWLP50w1q2co3w1xFI5ciV1O3N5fVI5ZhaosmyMVPokWbpRNGgx9KR7BTUmTiURKtCKiM5+uTuzTn5bzkwGo0Wjq4qqQUdf+bQdHQaTC1wLM3bF062lu9Cn4yfMvPXdVv4/gw6DZsGMe44lk6A/PKa9sKj/dvW551YVlZWSR/fpMR4PBpQtR2X11HKl7fPefeqXYDf0QN7ADPnkiqdAYmM8g2JeUx6PKKIQV++XOmQ+x/FbERRnPHznHm/rsa+BBMv5NbhZacKP/umRz6zsLDIGVaiQtWo2DjkSly9SYtDNIJgkp2gTsgvTSk1tzHauOFQEicPmnyHRMq1zbIbW3SJH0Z6+9Z+niKCQKfZGA1kJpKVZH9rfXzoE4nkoxVbYmKic8V6xrlPPxx6fnG48dKa5R/FPJw9qsRblibiLhYOiEbUWQpRq0nMPzeVStW4XdcwvU2mS2WLmPteZqrzR/Z+uoFzqVA9rs0Cgg8TchlEytW3jQmKfxGcr6r36NGjPX89ogp/QMAorJx5dkF4dW315KHDhw/jK1B4QX3RkZ6ePnTcj4E3bgsKM1tT6cYVC+rVLSDhy82nxtvxeYpSEiMaXp92+dhH0cT2XXsey3Kny18JwNps6cyK2vjIfDcLcK1QPXbsVfZO5PUdHMsQ+9zRRIwP/Sh3tEvPvgdfZWHQ0WQMSREkRwnXt9w6deBTNYwJ02btOHYhVWPUm1qLvl0V2Yl2D3cf3rqmdp6RFi5lsgwCM++gU3PvIBnxCNLmwrMzh/IXvVWsXuvpm3gkUvr+hndTAL2GRQG3dq3KUeJevXr1qIkzcPVGm8WANWSl8uY+D495Wxmf3skf5/5+2k/LVm9CrkAix8qZpEhMLEiPb+pX69yp44BarTZ38zDOuMvChhgNGPQIAgZdcSf7yGf38126xu26BV69Ru3eBB+k32q8mwAYdJLlLQM3zK9Wtap1MTej1JTqnajanpML6LOSyPtkJSsfHd4yZ0L3Lh+VSdi5uKcoHJDIGH2IRQGU8sW9Cnf2C/EhA3t223fyQqZGh0TGD+fYNARVKh5+mNvz7JylLi38/nUHB4f3VOHh4Y3adolKTMOetQUEAAAgAElEQVSgx8OPRsPZ8S3Nx+dk6iE3Q5uFaMTWncTX+HahT54l78aBeyd07NatW965JScnOxQvI5qYoTCnZjdCb5IWi4kZzcZzcDqiAakCiZRxJ95XOmE0WM2tmvbmBf8E/oHK/ObNmx87dizHEB47dqxt27ZfSVjZ21Nq62q4tRPRQFYapkosHMhOpXxDHp2gShvcq2DjSlYyu7+n+0JkJiRHWR2dPPHQR5kLHh4em5bO7jXgmyy9GnUGlVtydRMSKRIZLh68fU5qNEorrB2xcODufvwGMvowokjsC9utvZo3b/7p3B5cv2Rd3EOUm6LXcHk95naUqkHMUyA1I5WydUmLRWGGpSPJchzLEv0QiRyjbt2SOXmtICCRSBKjwh3KVlSF3kCnpnZP4kKIfoJCGZ+cVqGKb0iSBiAhHJ/mdJnPb12QKUiK7N653bpfV+SbmLm5eWLEC3On4tnZKdzcQakaPDmDVI7S6tilG7PnzitTupRKosRcgTqDsnVoMZ43D7BxEe7sG9O3Xj42QRDm/DRj3tKV1OyOzIQXlwhck9O0KDg4uOFf5QcSuQJBilRGzDOkMox6NJm7P7bQOZgxcdzPK9ahc6HFBDZ/Q3wYMoVeYXHr1q06deoAMTExz8OjUFozdDunFpMQliMlumDa958+WOVyub2L20dRAnO7dxEf5fIEBwcnpaUzeh3hQVxai9FAtQ5V3haQPaRUKm+dPxEcHBwaGlq+fIuqVat+Okav17+LjSVwHcN25K69npwWI699qm3h4+OjfTyGHwNJiyUlhkbDkCtevylMtPp/E1ZWVns2rRFFUaPRFCLbVLNq5ROPjuvL+RF5D6nC6unR7h3yxy+v3n1E1yEfXivMxGJeoaGhOUmeeSGTSjk+HxtXJp7nXShmNsl7JuzZfzBvIPPc9dvIrKndgwuryEjAzNrcRF6gJtSyebMqeZQevTVQV6E1wYe0ek2cd7ee34x+/ejDYk6j06G0ZXUP+q/Bfyhht1jfd8X1c5+yHdi1vUK95qJciYcfpxfz9ByChJK+85b9dnRPbWDzzr2UrU3UQ4bt4MQCkiJRmCEy84cxn7JVq1BeMGhFE3OcyxEfRulapMViYn7+ZvCmTZvs7Oy6DRhmNLfH1Jzxp9g1jpgnIFibmb56EPTp//n21cvdK9Ui8h5y01wrCEjlxsajxk6c8vTJE6PEBEHg1VXq9Kb5BLZ/hzqDzIQ/Vi7OZwWBU4f31+vQ16jXsrIjjUdwez8vApFIRUG2+fA5dBpMzdFrcSzDqL3sHs/LqyAK2SmBF0/mtYJAmTJl7l0+W6FqrSStAe8mbB/FwHVsGowmi2KexL1AYYmFPaV9yUrh/mHq9qFMbYCX1yQvLnXokD+h0s7Orkx5r7BXIbhV5N4BEHAsTc9lLPDH0gm9GrviJEVhlcdrIpHq/zlZtH9gR3jv3r2mTZsOGDDg7du39+/fv3Pnzudkcoq4I0xKSqpYr2lcejaqdFQZKJQ4lESVTvVOXFpNmdqMP8m6PkhkvL6DToVUbmEiO75zk3/DBgUSmjq6a/RGbN1JCEWqoEIAD45iaoGNKxIZ7WeyewKDN7F/MnJTjAZinwdfzNVL/BQyayeDRI42G6UNDiWo0o7L68lMxMoJFy8aj8TTnzU9QUCdTlqcqUG1f8PKNm0KLo1o2Lbb1eDHaLKxcsLala7zObOUiGASw3EuT1ocdu4M34VdcYx69k8xfXxUFRv+uUvXsUffI6cv4NefOweo04u2U5HIePeKX1vZKhUpCieyk5l8mV/bIDXBzZuoh8WVxjePbxfo0HYqWT6hzjDiXvHkJE5lefsC0Wgu413Ua3Nzc6DfiDG7wjDcP4IgYDAgiu7Odm9eFCCPolarzZxKiPUHErSLTrOp2Q1tNod+KpcS/OpBELB+/fphP85iwBqOziHgWywdeHSKeweNKTEFzq1MlTqv++/DOrcC3ez0vCUt3EcO/fBcbtGl71lJZV4HMWgDJhZkp0pXdz2w+McObQu+EcDbt2+PHj+RrVIH+DfIZw6fPHlSuXk30W8Qd/dTpg4pUWSlOBlT373M7+JLT093qtxQY2KNUxkcShN6E6VlR0/rQ9sLWB8UHUXZEWZlZe3cved5WGTNShW6dev6NQJUqampVeo3iU7KECu3QpNp+irwzN5tDfw+Sn9V2LvpOi/Im2ckzKqW9vxmvrgvMGjU+K1Hzoq1e3F1IxIZRgNyk9reZW+dz12XZGZmWpXyESdeYP8UEl8DlPR1fRcU87xg2YpvxkzceDcuV4At5gkGvUSvuXPucPXq1XMGWJX0yui4iDPLSYrEqENhYapPVyUUoGhjNBoVjiUM1q5YOVOmNjIZr++QHK3MfJf9LkIURSe3kok2Hvg058p6Wk7EwoFbO5zSXr4LffopW3Z2tnOJ0pkya4wGLOxwLIdESsRdDBrUmRgNmFjg3ZSydfD7K2p4ZX1/8xdbV6/8lA3o0KnL0at3sXJm6nWAd6Esb4FOAwIGLS4VSAhHEHAsi0GL0Uh2qoOpkPCZ3mTT5y1c+ts6tVZH2bqEBGJigV6D0YhUlps3JFMw5ihOZQGMehIjSu0Z9PphwRqQ7969cynlIQZ8S9AuGg3j0hqqtuPlNcxtMbOhVg9u/YlvVw5MRpCiUAJSg+ba8X05a998ePr0aZW6DQxOXiS/wasRsS9oNJwjs3PzYMs34MIqusyj+l+Lp7gQj0PDX977gtRwEfEP7Ah9fX2Dg4OPHz9euXLl9evXf30bLXt7+9N7t/QcOjrkaYIokSCVYVuc7MekxGBVjLgQnl/km21c24wqnZgngzu13LD2j0Jik4HH9/s1b2tIj0OuxNSSN/eRSEHAsxFxLzCzxsOPtb3xbEh2qiTizvplv3zOCgLDBvVbvXErRj3mtqgzOb8KUwtkJuh1JEfj1Rhg5F6enuP5BS/TrBvnr35OCRMYPbjPtVtjRYMOdRZD5rNhAF0X8OwCggRtNkor3KuyeTCqdEQjBn2PdvkzqfJi7/ZNdsXLZoVeR25CuxncO0DQLpKjUGelmNmTlYQAB6bl7ldiniqi7v25esXnLt2MSRPGzv1VzE7FzJ74UJzKkPI2Cyxcy44Z2ENmbl2lfOkbN3bF+rZXqTXytGjn7KjgawUUjwOmpqYVPMo8u3eQ2j3xasyeiUQ9wLpYWPS71NRUGxsbvV6PIKF4FUbs4e4+4kKoEMD9w5+b28YVC3uM6pzYYKxo7WL58lyF9IdDB31UeRIaFsao9QQ5srQFohGJzFKfUogVPHL8xMDRE9NMnUWtSrli04AOzVcvX/j+XZVKJWqyqNcPv0G8fYZ1McJvlQ4toNWwmZmZqMmk49zc0Aiw78eE+NDPnfefwps3b+q37BhfpZfWydds353ZS3+7E3j6vRP7P0V6erpKUBhbTeTqJgw6laVb535Dop4/eL+JTElJMcrNOD4Xr0a5y5HbuxW6zE+tIPDb4rk7du/VX9nAgLVUCAAI2nX3wJT3KQULlywTFWZoVQz/65IGH3LUf/aiCaKBmMeo0qnbl5rdSX9nRGzVvX/o/ZtSqXTcpGnq9FR2jmVAToDgqbB12OwpPxRIJZFIenZq++e+w9i6cXMHmkzsSyFIVAbKelXSiEJilhbVC7otoloHrqwn4i5RD8+eK7h40czM7N6Nq571mudGOmIeU60jSivuHQQpJkokUnyac30rr67hXoWoR8Kz86sin3/ukx46sM/MqYQmI4HkaGyKsbgJEgkOpUmKBCE3AVhuitKK5EgUFmSnXgksIOc5B3OnTerUsmnNVt3EsBvIzfAK4OkZ5ApEEUFEIqFic1Z3Z+RenMqSHC1d13vz1vzOp/dwdnZetmj++OlzUSgJuYqHH3Il6nTkJlg5U8wTq2JEPWDCad6FClc2ta5ge3zvZwsEfXx8nt29VaF2Y6NCiTojJ6yAREBvRCIhK5neK9gyjNRYytUj9oXi2KxDF/6DBgOF479adPvkyZMdew5EJqX9TK5twWjIrbkxMc9VPstKstSmvAt/rlQqC2cLCQmp5tdEpRcxs0aVgVGPTEHZunT5hTU9KFcfuSl39pWyNbl386qdnV3hbGO//2Hlmk0olJhaolfjUoGkHKVpa2bkSSyMD2t8++eLh3cVzlazQZO79x9g4YD/NyhtqNiMn2tiogQJw3eyvi9yJXbuvHulELUZMWGFbwvu3r1bt1l7vYsXno1ICMfGlXsHMbehdm+ubMTGFb2ahHDkpoI6c++mP7p2Kkwpv2Zdv7uRSUhkWNijzsSoJysZg45SNbArgSpNHnpl2uhvVAZJlQrlunTuXMjcEhMTnTwqix3ncPE3Os/DqxFJb9g2/PsO9RYvmL9k6dIf5y7DpykD1iKRIYocnW3zaH9K5GdjAFFRURu37Xz45JlEECv5+HRp3zqv1HjzLn3OVZyAe+Xc15mJFXb1ehYUWCCVVqt1LOOdblMW76aoUslMkj45GXhop59fburHrFmzfv59C5ZOdF+EQ2lCAtk3ZcKQXkuXFlBHbOrqoZmdJ5M24XW102OCL5/+dGTR8cUdYeN23S57DBbf3Cc+HGcPuZnlcKeYVYvnfW584di8ZeuwDRf0WjX9VqO0Ijla+L3zptnjBv715Y2Oji5RI0Cs3YOrW7B0RJ2OzKSWh1tQYMHVU9aupdN92mNqwe29CAKmloJU/ujIhooVKwLNu/Q+9yAcnZpWE3EuT3gQ51Ysnzp63NgC3I/AypUrxy5ci9wEgx65CVkpCFJBbrpp7vdb9x6+fP+Z2Oc3oh9xaQ06tURgwdTxEyeM/9yHzcjIsHEpYXT2JC2WGt2IeUrDwZxciJUT0U8o74fBwMsrlKqBmQ0vr1jIJRmxBVRVvkeLjt3PXgzEzQd1Zs5jiuxU9GrM7LBxRadm9GESI4gPJeap6+tzMc/zF5PkRVJSknPZCgZzJ6q04spGTKyQSjGzITkaqZTWkzi3Ar0GQYpemy8RoeB74VYuXaVBEKjVg7v7QUBphcKUrFS0KqydUGehTpfAhYM7GjVqVDjb7du36zRvn+tbrt2L7aOQyvBpjokFnedyezePTqLNLq6KfPP8wRezN1+8eFGzcctMjYEeSzgyG1UqgKkVClO+OwQih38iPtwsPerxzUvvk12/Hv/VWqMtWrQIunJWMBiID8PDj3p9MbdDk016PCnRxD53Uhhe3LvxRSsIeHp6JkeFmqADCRIpSkuMBhLCiX3GpEAqtcDUUmFQPbh944tWEFixdMmFY/sR9WizEWRkp6K0ou1UMhII/bBVNw/a2qllwBfZzh8/aCoTQCT8Nu6VeXAMRCwcAFTpTLmG30Acy+JUdtncn76YLlGjRo0WjeoS95Lgg5SszotAWkwgOw1rF5qOJvE1WhVmNqjS7pw/WrgVBDq3b4PRgDqTlGi02cgUmJjhVom0OCLvEXFXh2zust8X/Dy9V8+ehc/NwcGhRYPa3NlD68kUr8ShGewah32pbXsO1Q5oNfP4E2RyQq7wcw3W9WVOTeHmjqM7CnMnuru7ixLppYevDl4O/nn5H1UC2rXv0iPnLZVK9SY8VNg0iLiXAKlvbbb2XzDzx89RPXv2LFOjQ5VGVjKu3pjZGmRmcxZ+KOm9ev0G9fpjasnW4SxtwbG5VAgocPcjiqK1ldVHh6Qyszzla/9DeB4SIu6fgpUzjYZjbqu7uPbMhfzFskWHTq/XR9xj4Ppc/VK74uKAtet3fdgGnTt3TpRIsXVnUTgjd/PjJZRWFcp/VhDA2dGB6Ifc3kO76bSehIefmBh5/vz5nHetraxz+/fGhxK4lqQoiV7dq2ePz7E1a9ZM0GSRnUZ2KtYuNB6FZwMxM2HOgkWXg5+JNbrh6U+T0cx9ysIwy5IVuncprN+ypaXl2l8XkxaH3IyQQCzt2TwMx7Ig4OFHvQFosph+C09/StWQ1uw6eEDfwq/emcN7LSzMSYzAviQpMaS9w8wWmRJ1JqVrkpXC4qbsm8TJBdzYdv3UF7pV29vbhz64XcbBTHp1I0iQSnO97iZmmNtxZhkyE8ztMRrq16j8RSsIbPxtiaBXo1ORmQTgWoHKrUiJwbkcooH0eNJi5RiSwp980QoCtWrV2r5mpdLEhJDLlPLF1hWvAB4c5c19Ng3CaMS5nG3Kq7OHdn/RCgJeXl7Jb1717dBCsu8HwcwKGzeMRtRpaLNY3IStw0kIlyVHXD55sESJEl9kKzr+qw0hUKtmzaDLZ7m7j5pdeXoOZw9qdxdMLUo7Wr24dfHdq0d5e4oWDlNT07S4qOLWMgxaVBkIUpKj2DeJ2bXYNZ5Lf+xav6roft2AgIB3Lx9LMOJRj6xkSvkSHsTQbWwcxPZRXFhlsaZTI9OYb4cN+SKVtbV1TPhLB1OBsJtEPyYrGYWS9ATkCrYOY+dYVOlE3mtVwXFUEdiAYwf32yjl2JXgxjYqt8bUimLlufg7tXsx/SY9ltBuukJhkpPfVDh69OiRU9ODQUdWMtlpZKeTmYBMwaCNzHnMuON6c8fDR45+kQpYPH+OEPsC+xKsaEe5+gxcR2ZiQmL8HZWd+s0z2kyhWHnUGby4VMxMcmHf5gYNCg765iAiImLV5l1pb1/j4omNq+hQ+ljQk5GjxwGTZ80LrdRP7L+G/ZOYV5fVPcrbStq3yd8s6T0yMzNFmSm1e/DmPhd+4/kFrF1uPfywq4uIS+HVdSacZsZtfrzA3GckRhT40BEEwdujjCTPesjizraORVgPfSXSMrLo+xv1+lOiKn6D6LE4MfU/a5yZF/4N/CQ6NYo8BU7O5ZOSPqQjzV+1HqOBV9eYV4+d41jZAZlJ946fTZRr3bQR8eEEfMvhnzi/ish7SKW/rMhVjOrTqbW1nQOxIQQfIeohYTeq+XjlVcLLB09PT5kEtGoaDGbUfqwcUaXjXjn8TbRo5YzzR9k6WgeP8PDPhtVzMGDAAJkuG0QUZjy/iMKUqu0IvYFeS4UAfDuzsn1Oyph75MUlc/JX4HyKFfN/RhR5fQdLB0zM8WmGTo2ZFY9OUK093k0wsUCVvmbhrPfSE4WgVKlSYQ9vhz4OxqhHKkOVSeJr6vTObVVtZoM6s6p3+YunCsgF+xRdO3Xc8vsyAXh0EhML0uK4fwyP+sS9xMpZkCu9K1V+fudaETsiAX16dr+wf4u1Us6Chng1IvwWVk6kREuenbM8OWt6FUnU07uf60f2KeRy+fbNG9IjX5xdM6e7fxUbOztBFNGo0KmEyPuO2vj40Mc+f1WG/GMQ/xcxYMCALVu2FHGwVqtVqVQ5v589e9bKvbykWHmZY8lSXpVOnz79NdMICwsbOWqUkOPFrtwGr8amJSuPn/rT36D6Yfos0/ZTcPXGvgQB31K8Mh5+gpVTbT//+/fv/0dUarV62LdjJXZudFtI9U7YuGHtTPEqOJTC1HLZsmX/EVt6erqydGVK1+LHi9TuyYwg3Hxwr0KT76jdU+JYasGipUWkqlKrPlbFMLfFxpWKzbBwoHQt5j1nvTb3Z35IeV+/IrI1bd+Nmt0YfYhOczC3xdIRO3fcKrL87XtCwX/o9h07vki1e/duoZgnLl4M+5Op1+m2AK/GEqtioihaFi/PqqQPM1yvda1QvRAqjUaDjSslffnpXu6fTDglsXXR6/U5A0xcyuLpT9OxLAhlwSsCRgk2rgaDoUC2mJiYkt7V5OVq4+IlcSzt7l09PT29iNfnc1Cr1RqNppABFm4eeT8va1X2Zby/5owOZXzy3hQmnu82aMT7dxXOZej6Cx5+DP+TEbtpNEJwKJ2QkPA5trCwMOxLYOfOuBO5hEujcCz98OHDjIyMWfMXuVesqSxT3aLDZIeA/t41G8TGxhY+PZ8adbEtzqJwytTBxRP/oVg6YmGPW0WajM57Kcw9an6RTRTFod+Nx9IRK2ds3bAuRoUmOJbGxpXFkblUi15T3Gfnzp1FuXoGg6FspRoUK499SaydGbEHm2LYl8SlAtbO2JfEqpi5g0tRqPKidEVfrJxxKEXAKEpUo/k4anYXLJ0WL//1P6UKDQ31a9paYVdMsLDHxlWwdJTaubXt0Lko16pAZGdnj5041blUeYcS5Vp27Hb06NG4uLi/R5UXSUlJly9fPnPmzJEjR4KDg9+fS6fTfT35e/zfMIQ50Gg0Wq32H5zPpUuXxk6YOP3nue+v738KnU7Xf8QYR68aluV8JbYupk4lK9ZtfPjosb89pbCwsJZd+5g4lpA0GEyjEZStY1rca9HyVX+DqnPfIYKLJ78l03gkdfvQZT4lqgrWxexLlt+87ctm5j0SExP7DxmKuT3WLjiWxtQS5/IfPXPXa508KheR7cWLFzLHUkw4jYklFg7YuOJagUotPyKceH7AqHFfpDp58qRg5USXeQR8i4cfNbpRtQM2LocPHxYcS330EF+nsS9TsXA2U3sX2k3POw1plTaPHz8WRVGj0UisnanTl76/U7EFFVvSdIzMocTnqNRqtUe1usKYI6zXsk6t6LuiSftuRbw+hXAWbgjL12jA76kf5v9rXGW/pl9zxhOnTttUbMjsR6xVMSnQybNaaGhozlsGg0GwcqLLfOY8odNsWv7AiF0SO7dC2AwGg8TSnvINPrrR/dcMGPyNazlvoUxt3Kvg5qN0cFu3foPRaPzi9IKCgrBzp/1Minky/Ra2btiXxNKJsnVw86Hf7/yWzPK3NB7VuE2nonxevV5v4eiGlRNWTrhVwq4EjUbgUAr7kjQaRvMJOJeX2bokJycXhU0URaPRWK9ZaywdsHHDrSLjTmDjinUxbFyxcJDbuYSHhxeRKi+at2wtWDhg64atm2BdrGSFKkFBQX+D5/80/nFD+I91+P1fwNdXE+dDo0aNiuIELwQymWzr6hXZ2dkxMTElS5b8+hmWKVPm1L4dRqNx09YdR89ftvKsNaJfd7/6Bag2fxE71q3q2Kv/+ZUdjIM3kfBauLPHQpd28vi+9wkgRYRCodi6YV3LJo17j/weQKZApybpDfZ/+eiTo4sX2UHt6elZt2b1qxd/BxHA0gFzB9LiPhqUlVrMoeAe8XlRr149pAoMBkJvYO+O0jJHxLxL/6GiU3ku/kH7v1xY17e4On9Bt6VBnVrnbIsT95IzS4gNwaGU1NwmJiamYsWKb968kds4a+QKbu6gbB2So4i8Z2NVQIAwB+fPn48r0VCs1ApAkGj9Rz7ecC4iIqIoTrC/jaH9es4+Nj2j8xIECUa91bFpIwf2+RrC1i1bHLO0mPbL7OjoqIre3kuO7Xkv+7lz507RqhiX1yGRUbUDabEcmFrc2aEQNolEUq6k+0tTZ4Doxzw+hdGAXHnp8e23KoFh63CtgDpDtXPstPlLh37z5RBArVq17C2USXf2ULUd51di5YQmG1FEr8O3C+dWcXIRphYyVerekCK1DpVKpa+fPXDzrKJFAiISgQ4zeRGIaODtCzRZgjrtwLZ1RS9KEQTh+tkThw8f7jF4lDYzie0jcShN6lu02f5+9XZtWlNI8+RCcObUCSA9PV0ikfztrOB/kQ//7THC/xMwMzPz8PD4B+20RCL5ZlD/o39u3LFmxd+zgoBSqTxzeN/xFdNqnRtf+tyMdm7GB9fO/6dW8D169erV3L8u2WmIBtSZ/NGVHNXK1Lcm63sunFFA84fPYeGMidI393JfGLRkJ4PA8wu5R7TZ1pd/7dW53ef+/D2sra1bN/Dl/mHM7chKpVw9KrVGYWZQ2mDQkhrLr204/BN/dBMu/j7pu28KZ/tpykT5vb1s6E+dPvRcSu2e+sj7KrUGKFGihIXUQMQ96g+gZHXKNyQjcXifrp+jevYyNMPho4iI1rlC0duC/z18P3rkMF97x8W1nTd1dVxSZ7R/uRFDBn4lp1/9+peP7wt7cOvIzk0eHh7vjx8/cx6gxQ8ErmF1d7aPwsalfq0vhJzPnTgihN/iwir2T0aTxbtX3NganZBM1wW4VgAwtaT/mqT0zM/1SsuHl/dvylRpGHTEvqB8A0wsCBhFelxuBbffANSZq5fMz1cMXggcHBxOH9gpEw0orTCx4MFRpt/AfyhWjjJTs4mjR7Zv3/7LLB+jY8eOmuS3e9ev8C5b0kGXUKuy17VTBwNPHfl7VvA9rKys/rWC/yD+q8snDAZDIeIX/+J/BxkZGe/TI2/cuNFz0NCo6LeIoFAiSKzMlfs3r27WrOl/xDlk+KhNW7cjU2BhT48lHJgGIma2KK0l0Q83rlw8sE/PL7NAUlKSk0dlo6UzU65yZx+Ba4h9RtUOWLugzaL+AFJiiH1udm1dypuXX1ypOHpUSazUnXv7KVmdrGTSE3zsJE+CrgBjfpy28V5Ctoktia+RKVwTHz27c/VzqVVnzpzpsfJUWqfFH5hXt75/dIubm1uRr1B+FKWg3mg0bt+56/Dpi67FnEYO7JNTmfD10Gq1L1++dHZ2fq+G2qVHr4MP3lK1LU3HoskkK5llrVb//P2IESMKp+rUs//hy7exLU5SJDpVbgLzD+ew+6CWLplZWRXxsIjLyv0HD3Uf8YPoXhlnT56cwqDHfxjPzhIbImQmnT92ICDgP05TCgoKatyum8rRk9jnOJenRFXLuAcBPiUPbN8glUrzfh3+xf8rqFQquVz+NZIR+fB/yTX6L/6fo169em9CniYlJR04cEAQhLZt2/69he3a31fuP3I8XaVBr+PqJr4/Q2Qwia+5vfv3hbOLaAUBe3v76l5l7tr6cXMHzy/mJtxGP2HQBm7+ycEZaLORm/bv3KYoD1YTicjTs0y+jFwJEHbr5YbcRPmu7Vree7Dw6dOrJgpZ/Tq1V+49WUiCcZMmTUr8vCAkaIfWtzsGndnFZQ28S36NFSwKjEajf+tOD028MnwGkZW8p8+3v07+tm+v7l9Ju3LNhjmLl2uV9mQle5ctcWr/Thsbm7atWhwKnCfGvmBubaRyjAaZPrtz58vR34sAABtTSURBVMJKFHIwtH/Pk88TtW8e4FCW1ChMLShbizcPPhhCncpMaii6c6Vr5049T5zZc+iY8fUdhmzh9GIu/o5olOrUd65dLEQWoxDUrl07+c3L39dtvHijuKWJtHE9z2bNvvsHS9b+xX8h/t0R/osv4H9oCWw0GitV8332NhVTy9xCzKzkYX26r/3t1/+IZ+3atSN23SP8NnoNWUlIFSjMqdePlj8gkfIikA39Y57dK0qZTUkf3zcNJ5Iez43tIGJqKU1/F/fwyrwlK/7485BWFJBIZQZ1j1aNd2xYXThVenr6tDkLT10IlMvl/bp1nDj227xtff4Gvrgj3H/gwODN1zM6/qWGo8l0XuH/9sWDTxUsi47LV662GfpDlh5qdkcQuLGjopv14xuXsrOzPavXiTZY5shGS01Mm/oUP32wgA7V+XDjxo2GbbsZHMqgz+leJDB0O6s60n81ZeuSHidsGvz7uN4jhw7+AtHHiI6Onv/LL1sOntKa2khFQ2lHq9P7tv8PRWT/3RH+N+Af3xH+awj/xRfwP/rNP3nq9HcTpyYkJrm7uexY/8d7rciiIzMzs7hPzTSVhooteXmV7BQaf8vDI6S8RRCQKsxEdVZ8kTSvO/UeeDjODE0GtsV5+wwbN+HFpc2/TB7yw0xDl4XU6ALw5oHkj663zxwsShVmITAYDL+t3bD7yCmJRNK7Y+sR3wwqvLPaFw3hyO+nrMGfCk3eH3He3u/axrnlyn0ocg8LC1uxbnNkdFzD2tW+HTbki1+uHoOG7714m8lXSIokNRanMpLlrSNun3d3d4+Kiho+Ycqjpy9kMmnX9q3nTPuxKLoWKpXK0qWUwdSa5hO49SclquLZCDcfTswn5ily0+rOpveuXfgiz+eQlpYmk8nM/yflC/41hP8N+Nc1+i/+f4XWrVqGtypMPfWLsLCwOL5zY4N2PSjfkAdHsC3OpT/waUajkUTc4+6+TWuLusUc0qfbkQGjRKkJkjvYuhF6XdRkzVuy1ODsmWsFgRJVjfUHbt227SsNYfueA64YSmc2W4EoPjq55tyVbw7/mV+S/z+CezFHITTxo1VtZkLePJFLgZe7j5qY1HSqWM79bFDg+q1Ngq+e+1xP0ByEh4Xh3ZTfu6K0xL4U4UFG2+KXL18+dv7K8QuXRQtHU1XWktnTB/cvanqqUqlsUqf62aDHyGRos2k3nV/b/n/t3XlAE9fWAPAzISEhASHsmyAFBMVKoYiAC0VBqxZRWzekWlSsUm210mqtS6tVn4pbrVpaxa1UBfFrH1jcigUFF1RWQeChgGx5LJFAWLLN90d8Ke6UZAiQ8/trcjNzzzEDHiZz515wnwLDZ0NFHufajwmxV7vwb1dQfqJjpJmwEKJeb+QIHyODfvXmA0GHC8LHYP0mFCRDYQq0NVmamc2c+dKZup4xccIEQiom2QZAowPbAJgcIKGkqAi8n54s38yxpu6CMglnZ2ffqmlvnvfk6Y7mwE1phz8oKCjo/Owbz5sxdfKeoJDawQHAMQQAWu4f9kacjpODhK34qm5BvHyC7Lb+Qx/SmTv27t/w1auG+w5zdbmd+BdM+greCgQAIEmInr9h+56HAyaQ63OBIFrbmz/e/J5tf8uxfn6dzPPUyV+NBjiTacfBwQfSj8OqK3DrNORd5BReSIo91vmJohBSIXx8AvUFM6cFaRdfAYIGbkHAKwZSBgAsQ/O4Y1Gd74RGowGQIJXA0rOw+BR8Eg8Lj8uYulB0FTreQchN8vb4x1/hdpSXlyfo/1RxFdp45eXlKdOng4PDkZ3fWkdNNDs8zXTfmNEPTvwWc1jxbltbW5OUUKxaBQAi54C/btx5UU9/+2bd19Bc+6QKAgBBwIQvH1byyMB1IJ83kqkrmbFr1cbtnc+Ty+VeOPMLrbYE/pMGOUnwjTtc3mdYfP7I7i2juvpsD0JKwitC1Bfs2rzhwZz5N3R1BFm/k6PnA5trVPDvEP9hPj7Prjn8atpatLZh08HAEnjFUJQKrU1AowODBYfmQtAGoLMg7ShRkLx48SFlsrWxsdF9fL3jOsLsxw9tbJSdj3TSu+MfvTu+urpaT0/vmYfMWCwWTdz21N6NNVYWL53MU87Y2NhA3+BxxyZ+JUlnQcfZk/UtSiuq/lGeAQEBvKLsrzduvX7zlu1gt/WrI4YNG/aPekBItbAQor6AyWQmnYmpqKjIzs4uKy+XAfh9ucPFxeWf9uM+xDldPqN/VgJo60BNEWhzwGwgiIQQswzEbdAiMDI07MzAkFcYPnw4FCyCgiswyA8AIO+CYW2ukjcdFV72QMu4d0aevrKv3W8ZAEBbk9HF75b8sPHVXdFoNEdbq4xH2dDfVd6idXa1VCICfiVw//c0SP4lOyvzl3bxEsbGxlHfv2AFK4TUAgsh6jusra2tra2V6eHA3l3uQR/JWP1AJITJa6H0NqQeBqfRoGsMRamgzSYqchZM9lQyzz+Tr0hNB8K1aDi7BgBAz4RrbKDCIXAvFLV7m2TZykuRXjQDc63G6q3rVo3w8X7tUSd/+v6dwBn1LkGtMi0i+Qcp2xBM34DvJ8OUjWBiB0UpxB/b9iTEUpo5QlTDQojQ31xdXb3szdLr6RDwGVzYBRU5YDYQUn4Gtj6YOkBhijlHa8umb5WMciI+sXHsF/DGcEVL2d7RIpFI5bPpdsRisWJ+3i8WixsaGl6xwtEz7O3tC29fPXr06Kfrtki5/YGlB4ti4NBciF8DdAa0PHYf4jKiq7MAItRD4GAZhJ4SGjyDEPwXeCVQegc8ZkDEZQj4DLR1oOoeNNffz7iqzCPqcsKWFqAzO7aQBF0ikSjZbWcwGIzOV0E5NptdVFYp1WLB8FnArwCaFiw/B6v/gsWnCfep40Ype32MkNphIUToKWPH+GmLBJBxGpgccPEHggDvEPg0AVZfBTvPe/fuKR+iRcCH9BN/v+YVt/F5r36kT3mlpaXBYUuHePsFzVmQk5Pzj45NvXoNHLzAbCBYusD3QZCVAFUFcO0IPSdhUdhrZjNHqOfDQojQU+zs7NYuW0g8rgEaHRoqnnqvobzjRC1ddievEAQ8iA6FG79C0nb4KUQkanv9YUooKSnxenfqqX7v3ZsT/+8B88fMXpR+/XrnD/f2cAdeCQwaA8114PE+lGdCRiytoXTcaB9K15ZCqHtgIUToWWtXRUzx9wbLwXAhEupKn7RmxHLEAsUKDMoQtrbCh/vBdxE014HxAIi4KJYRrz9MCREbtvKm7CYHjQWWHth51s/7dckX6zp/+OaNG4iGMrh5Ej45A/xKyE6Eu7997G0Tf0Kpx0gQ6iFwsAxCLxBz/Lj5wKECi0GwfQywDUDUQpeJcjNSVdJ5Pw67LvUwjP8c7L0BAK7H6DCZrztIKbn5+dDxZp5h/1r+45fv/iwDA4PUhFj/90Pa/70RaHQ6KTm0d9u8uSGqTxQhdcBCiNAL6OjoFN9JW7R8VVqTHkGKPgyZ/a9NG5RcQULBfoBN3e0zUHIdbN2hugCq708K8FVJzy9jbd2/pK4UzP63uG67kPMPp7MfOXJkG6+Uz+e3trbiRGioj8FCiNCLmZqa/varUhNhv0xZZTVYDoHaUniUA03/BbZBP30uFYEU1i1fnBvxWcPcE6BrBO1C/VPhXy5d1IV+uFwul0ttqgh1PyyECFGlpqZm8co1GVk5AMTI4W8f2LHZyMhIKBTyRQCh0VBXCjWFYOoAQBbfVPbZxFcbO8Zv5YyM7bv9RDLQZzPXRSwLC51LaUSEehEshAhRQiwW+wVOLxrxpWzZPhC3xd//s3jqrNt/XRAKhWJBA7Q3g/EAMB4AAJB+3EiX2nuEEWu/PXIlp3HaTgBS58ah8spqSsMh1LtgIUSIEunp6dX9HGVXoyFhM2gxpAAPDQyys7NbWlqY/Qe3/jgbpm8HrhXcvwLnI+3nd3atqC548ODBsXMpDeHn5ZNlNwz2j94/fknoh7a2ttQFRagXwccnEKJEyYMHgqIMkEpAJgUmB9qaGx/kZGdnm5iYtDdUw4Qv4NwWODAdSm4Qzn5uQ5ypyyQjI6PZefzfS0YQNKFTwO3bt6mLiFDvgleECFHCyNAQJCJ4KxBGhgIAtPDJ3ROzc3K5XC6NyZYVX4PQQ6ClDVkJtPjVpqYfUJiJkRG96VbHFmZrg5GREXUREepd8IoQIUoYGhqSBO1JFQQANheCNtzIKRAImmhvTwUtbYgMgK0j4X4y22NyWxuFM8vo6+u33IiD2odPXv+3RJKZ4OmJc4Qi9AReESJECRsbGxqTI+vY1M9ci8H09vbqt2tRXXgSvBsBACAVs74f4+GxirpMDh47JZu4Gg7Pg36mQJLQVMvSZlA9tSlCvQgWQoQoYWtrqysVCFr4wH7y4B0tL2nm5Hft7Ox0Jc31OwNIv09AJtW6uDM8bKapqSl1mRQ/LIPR4TA6DPiVQBBgYEns9aV61SeEehH8ahQhqhzbv0v/wGS4dxEq87QvbB9clfzxgtCd+w7UDnqPnLETakugoZwc+2nK9QxK0xjm6qL18CYAANcKDCyhVcACCVZBhBTwihAhqkwJfC/d/o29Px+rKqz1f8dzSdhFbW3t3y9cEfrtBENrsHkLAGQA93ftI0mSIKiad3vN58tiR42r0daRDvSFhkfc3yK2rafwm1iEeh0shAhRaPDgwVG7t3VsodPpIHtqDV6CAOqqIAAYGxvf+StpzXfbb8R8b2FhsX7v+tGjRlEXDqFeBwshQt1q1uR3sxKiBJO3yl/S85LchgymOqiZmdnhfTupjoJQL4WFEKFutXhhaMr18OSowNYB3qyGBxat5ScS46kOWlZWlpWVZWpq6unpqaWlRXU4hHoXLIQIdSuCIL74ZKFu9HFeTf7UOeNDQ0Mp/V4UAJas/Co++Warw2imoMqoLuLP309bW1tTGhGh3gULIULU+iPp/Lpte2rr6p0cHfZ8t/b/ki7tOX2x3nsR9KenRx/LLird+6+NKg9KkqRUKqXT6Wd/+/1UVs3jTy4AQDNAQ8mN6aFLrl9KUHlEhHovLIQIUehUXHz4tsP8mT8C1+pR2d13pgTL6MyGFalA0wKABpdxv0YFLrl/39lZZXON8ni8ueErcu7/hwTCzsrMQF//sfcnindJe6+HiXX4ECFCHWEhRIhCX2+O5C9IBJ1+AAC27nVDZ9Lb+PIqCABAEI3OE27evKWqQiiTyQKmzsobvpKcMB4AeOWZ7OgQGPTpUzvRtGQy2YuPR0gj4QP1CFFIKBI/qYJytm5kI6/jDqy2x4aGKlvzPT8/v4ZlTbqMf/Laxk1q4kD89ePfe1TmWejrsFgsVUVEqA/AK0KEKKTDoEO7EJicJ69pdOaDtBZeMZg5AgA8rtLNTxg1armqwlVUVIgMbDq2tFf9B6AY9r8PLgFQXw7XYz7dvVlV4RDqG/CKECEKrV+5zCBmAQgbAAB4xSZJa385sNPxbJjZkRlmx4Ntj02Pjz5gYGCgqnBvvvmm9oM0IMknr1sbQdIGX6fB5PVAZ4HDCAhaf+DYKVWFQ6hvwCtChCgUOneOjg7z2x0zmoQt1pbmPxzbL5FKXYcOraisHPn2kI3rj+vo6KgwnJWV1RTfYbGxnzT6LgctBufqD0KWHrC5wOZCf1cAgNqHlRmHVBgRoT5ABYWwpqYmOjr67t27bW1tiYmJyneIUF8ya/oHs6Y/WXf3yPGYFbuiGyd+CwNNMvPO/fHO+Myrl1U7gPOnvTvGxJ2JPrVVJBbPmDLu04zfpST59/L09WUujnYqDIdQH6CCQlhVVVVZWenk5LRnzx7le0OoT8rIyMjPz1/21Ubh2rugzQaAdr9lRW3NR46d+DhsgWpjdSy9Kek34uK/IqdtBpoWCHjM+C8jfzuq2nAI9XYqKITu7u7u7u537tzBQojQ88Ri8djJ0/NbdRs5lhKOubwKykmcxpxLPqTyQthRzKGDpqvX/bLFTULTNtCh/xy13dXVlbpwCPVGeI8QIWqt37LjttHo1rdnw6+fQqvgqfcaKgipiNLodDp9X+TWfZFbJRIJnY6/7wi9QKd+Merr69PS0p5v9/Pz09PT63yw5ubm8PDw5cufDBb/8MMPt2zZ8rKdxWKxVCqVSCQv2wF1D6FQSPVkmH3b70kXW11CYKMHOPkCjQYpP4NvGADA42oicbNfxILm5ubXdtL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"\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ] }, "metadata": {}, "execution_count": 3 } ], "cell_type": "code", "source": [ "scatter(X, Y; lab=\"\")" ], "metadata": {}, "execution_count": 3 }, { "cell_type": "markdown", "source": [ "## Gaussian noise" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "In this first example we are going to look at the effect of using\n", "inducing points compared to the true Gaussian Process\n", "For simplicity we will keep all inducing points and kernel parameters fixed" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "Ms = [4, 8, 16, 32, 64];" ], "metadata": {}, "execution_count": 4 }, { "cell_type": "markdown", "source": [ "Create an empty array of GPs" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "models = Vector{AbstractGPModel}(undef, length(Ms) + 1);" ], "metadata": {}, "execution_count": 5 }, { "cell_type": "markdown", "source": [ "Chose a kernel" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "kernel = SqExponentialKernel();# + PeriodicKernel()" ], "metadata": {}, "execution_count": 6 }, { "cell_type": "markdown", "source": [ "And Run sparse classification with an increasing number of inducing points" ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ Info: Training with 4 points\n", " 2.281944 seconds (4.92 M allocations: 277.567 MiB, 2.85% gc time, 99.28% compilation time)\n", "[ Info: Training with 8 points\n", " 0.009826 seconds (13.68 k allocations: 25.571 MiB)\n", "[ Info: Training with 16 points\n", " 0.018545 seconds (13.68 k allocations: 46.160 MiB)\n", "[ Info: Training with 32 points\n", " 0.059243 seconds (13.68 k allocations: 90.182 MiB)\n", "[ Info: Training with 64 points\n", " 0.148940 seconds (14.69 k allocations: 189.940 MiB, 26.43% gc time)\n" ] } ], "cell_type": "code", "source": [ "for (index, num_inducing) in enumerate(Ms)\n", " @info \"Training with $(num_inducing) points\"\n", " m = SVGP(\n", " kernel, # Kernel\n", " GaussianLikelihood(σ), # Likelihood used\n", " AnalyticVI(), # Inference usede to solve the problem\n", " inducingpoints(KmeansAlg(num_inducing), X); # Inducing points initialized with kmeans\n", " optimiser=false, # Keep kernel parameters fixed\n", " Zoptimiser=false, # Keep inducing points locations fixed\n", " )\n", " @time train!(m, X, Y, 100) # Train the model for 100 iterations\n", " models[index] = m # Save the model in the array\n", "end" ], "metadata": {}, "execution_count": 7 }, { "cell_type": "markdown", "source": [ "Train the model without any inducing points (no approximation)" ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ Info: Training with full model\n", " 0.939268 seconds (249.32 k allocations: 380.320 MiB, 7.50% gc time, 10.78% compilation time)\n" ] } ], "cell_type": "code", "source": [ "@info \"Training with full model\"\n", "mfull = GP(\n", " X,\n", " Y,\n", " kernel;\n", " noise=σ,\n", " opt_noise=false, # Keep the noise value fixed\n", " optimiser=false, # Keep kernel parameters fixed\n", ")\n", "@time train!(mfull, 5);\n", "models[end] = mfull;" ], "metadata": {}, "execution_count": 8 }, { "cell_type": "markdown", "source": [ "Create a grid and compute prediction on it" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "function compute_grid(model, n_grid=50)\n", " mins = -20\n", " maxs = 20\n", " x_grid = range(mins, maxs; length=n_grid) # Create a grid\n", " y_grid, sig_y_grid = proba_y(model, reshape(x_grid, :, 1)) # Predict the mean and variance on the grid\n", " return y_grid, sig_y_grid, x_grid\n", "end;" ], "metadata": {}, "execution_count": 9 }, { "cell_type": "markdown", "source": [ "Plot the data as a scatter plot" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=136}", "image/png": 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feOGFrVu33nTTTccVFqy8vDwajR6zWp8+fdrIw2C4v0uS9POf/7xx+fTp05csWfLdd98ZP/7+978PBAL33Xef4RpnYEQZKikpkWW5V69ehu81h5NATKu4A5g/f/7y5csNj+fjXe4vueSSjvu4FxcXU0qPPhMvLS01Ik/H4/GujFTYE5g/f/5tt922ePHinJycX/ziF+1vqGla24enBsf0cd+0aROAZu7UVqt12rRpRhoRrrh3hLlz5y5atGjJkiWGPtf+hrIst2d8E+XjbhwCHB1D0Chpj2LBaWD+/Pnvv//+XXfd5XA42u8cZTBp0qQE+rg3xjC1rlu37vvvv2+muN9+++1PP/302LFjP/jgg8bRITntZP78+UuXLjWughzvu/vKK6/suI+7MX9TUlKa+Tca8zcSiRg/Gq/4Cy+88OgejAOZDz/8sO1gBpyEYxhDG4K0NtAwaibAzIq7kehux44dkyZNarawHpNLLrlk/Pjxx6yWm5vbxqfXXnsta5rpzefzvfnmmykpKZdddhmA9l+x4rSTOXPm/P73v4/FYtdff/1x+ZQLgtCeK4PH7NMw7x19XGOU8JBwHWTOnDn33HNPLBa75ZZbjmv6SJLUnvE9ZjLUdnLWWWcJglBUVKRpWuOzvgMHDgDo3bt3Qn5LD+Hiiy/OzMz0er2XX3758erB11xzTXt2YidmQKmqqsJR35l777132bJlw4cPX79+/dE7N057GD58+E9/+tNvv/121KhRRqat9nPxxRePGDHimNXanoOTJk1yOp0+n6+urq7xIDabvzNmzDBU/MasXLlSluUrrrjC5XLxmd71WCyWrKyso+O1N44q290xs+IO4LXXXistLT3mFdKjSUgQmKeffrpZye7du998882srKxnnnmm4/1zjiYzM/PTTz8Nh8PHe/lPEIS///3vHRfgJz/5ybfffrtq1arf/OY3DYW1tbVr164F0J7dIKcNcnNzP/vss0gkMm7cuONqKElSQsa3nRghCz/44IPnnntu4cKFRqGmaU899RSAX/7yl10miQmwWq0bNmzwer1HK0nHpCGOZEeoqKjIy8tr5tb4ySefbN++3WKxGLZVg/vvv/+RRx4ZOnToxx9/3LZZh9M2q1evLi4u7tOnz/E2bDvOTztxOp2XXnrpypUrly9f3hBCmjFmrCEN83fRokVHt33rrbdkWV66dCnX2pPFoEGDNm3a1BCRGUBJScnq1auTK1UCMbniPnz48BNY6zndmuTGyb711ltXrlz53nvvzZgx4+qrr87Nzd27d++jjz5aVVU1fvz44/Lu4LTIGWeckVwBnnrqKcPJ1XCa3759e4NqvmLFigb7+mOPPfbll1/efPPNZWVl06ZN83q9f/3rX3fu3Dl69OjjipLBAXDaaacl8bcvXbr0P//5zyWXXDJw4EDDmPfpp5++/fbbuq7/8Y9/zMnJMaq9/vrrDz/8MIBhw4b96U9/atbJAw88kJ+f38WSd1+GDBnSHt+2zuPBBx9ct27dgw8+6Pf7Z8yYEYlEnn766Y8//rhfv36G/y3npGXWrFmbNm267LLLHn744YEDB+7YsWPx4sW9e/c28pqbAJMr7hxOFzNs2LD//Oc/11xzzdq1aw0ru8H//M//PPvss9w5ygR88MEHa9asafixsLDwH//4h/G8fPnyhvIxY8asXbt27ty5ixcvXrx4sVF47rnnrlq1KlEOOZyuYdCgQRUVFc2M97m5uffff78Rpt3A8JwB0DjxZwM333wzV9y7Ef369fvvf/97xRVXPPHEE0888YRROGnSpJdffpl7QJ3k3Hzzzd98882bb75phGElhFx//fXjxo277rrrki1aYiDNnLC7NcFgsLa2NjU1NTMzs7U6tbW1wWAwKysrKTksFUUpLS2VJKlfv35d/9tNSVVVVSQSyc3NdblcrdUpLS1VFKVPnz6JitJ9TCilmzdv3r17tyzLqampkyZNMq4jc44XY3zz8vLaiLR9+PBhVVX79u3bNZHyDZFa/OjoOFGqqn722WcFBQVWq3XChAlG8DJO23i93kAg0PYqXVFREYvFuixqh6qqW7duLSoq8vv9drt9+PDh48ePb/Z9CwQCbeTs7Mr1p9sRCoVqamo8Hk8bSRKNb0VmZmZX3vfVdf3LL788cOCAKIqjR48eP378MQPBFRUVUUr79et3XIHsOCeG8XIfMGDA0VGhtm7dum3bNqvVesYZZwwdOtT4jmVkZDRcQ6+oqAiHw/3792+YmEa4v4QEFutUTKW4czgcDofD4XA4ZqW9kWsTzj333LNlyxYAqqqqqprAnhVFSWzsDiP7QwI7bE+E+OR22Bn4/f5LL73UeD75/wI9sMPO4M0332xwI0mswIyxtuNyHi+6ric2V7aRXDOBHcqyfHSMs04iEAgUNOK4lmi+tp/MHXYGfG0/yTtsDcaYrxHH9Xs/+uijRx991Hg+yf8ClFKTvSySprhv377dOFU0EkElsGdd1xPYIQMCMpX1REqY2Nd5Z3TYGSiK8vnnnxvPJ/lfQKXwxfSEjnni/8ndIrJkcXGxEUANif4LMMYS+xeIqCykJFItppSezCtb2zz77LPjxo077wjl5eXtb8vX9pO5w86Ar+2J7K4L13bDdWTwEZYtW9b+thUVFUYmeJz0gx7TWFCmCRxzSmlibSjH+7LgPlhtUR1jrx1iO+sEu0U/N5/N6C/yNKemZ5uXrSmmJQGpX4p++RBheCofc5Mj63i3WPuqElGN/CSbXjGYpFj5oOOSSy55/vnnky1FZ1EdY28VsV01xG7Rf94b/9NP4ENuerZ52ZoiWhIU+3v0ywaT4WlJM1yePEiSVFdXl2wpOguNYn0Z/boSQUUYmaHNHiylmeKaCVfcW4UBS76j7xTpUY0IAjaUMQr94v48KoiZKQnSO76h+wJU1YlVoF9U0XfOs5hjqnNa4+0i+uB26o0RAmyo0IpCwqOT+MIIVVX379+fl5eXlHv8nQoD/vw9/VeRHlIFkWB9hcYgzujH13Yz02htF6wC/bwS75wn8LUdQHV1tSiKbYT06L58WsH+bysti1CdkZRSujegPnF6VwQw6Gz4+6lVamJ4o4AFNcIoIwSyzv6+ExcfdyonTnfi5QJ8V8s0RhhjsoBdPrxyiN0wghvjzMz/+14vixDjJFWOkzcK6Z9+AnuPXxrff//97du3FxQUzJw58/nnn29/blFN07Zt2yYIguHgPnTo0ERFaaBH6GA/tTJePaQHVMIYIwRymCzfSf+nTwKmeWecoRsdEkKOGc+E0wZ8bW+NSZMmBYPBvn37vvTSS6NHj25/w5qamg8//BBANBrNzMycPHlyp8l4gqzYS/cFmA4CxuKUrCnCH8awPGe3H/Qe/3ZqnZ11alCFzhhlBIzqVCiJJlsmTifzaYWuUlAGyggYdMZ211GAm+JMC2UojoAypjPCAJ0hIKMoQoen9uhj9Kuuuur2228XBKG6unratGmPPfbY/fff3862sVjs9ddf37Bhg6FxXn755Xl5eQmRKhaLWSyWjkfZ21bNAoqVMaYxEEZ1gRSGWDQqJ0TCxOZqaOhQEIQ2IqJyjknTtZ3pIHxtT0tLq6ioyMrK0jRt0aJFs2fPbnBbbw/79u1bsmQJAF3Xe/fuPXbs2EQJFolEErJN3V5t0SgYpZQIlNGAgm2V8ak5Hb1CoKqqrusJdMSXZVkQBCO8rNPpPDq0ZTO44t4qEV0UoCuMgFEQQQcU1u03apy2cViIzigFARhANEpsot7DF3dz45MhCUw9YiRlgEyR2uPXxfT0dOMhJydnwYIFH3zwQfvbpqSk/O///u/06dONwAsJDF4uimJCFHe1jhJBVzSAUUYEMOiEuN3ujkvIGEtIP53XYY/FYSE6GAUABgiaDpvY0xV3q9VqBM6XJOmee+5ZtmxZTU1NdnZ2O5tPmTJl9erVAEKhUEpKSgIFS8jXnjIIgqaDUSKAUQpBoOifbnW7O6rIGYp7AvPoWSyWBsW9PfRoq1Lb9HYgxQoCxkAAJhCW56BaF0Vj4ySHCVlEEgFDbQesIvKcPXplNz1OC/o6BaHeukMIWLqNeBW+MP5IYWFhG2lxuiN5DpJqAamf5UwgyLaDL+3mZkIWkQSGJms7n+Y/YqSGTKz+nVx0hgGeI6FaCCFgdpFRmMH82uMtS61zSpqQ72SyTmMaEwSSacOkTBLRkMqvs5iXEaksy0p8CjQKi8hGphGHxDOUmRmHiMGppDjCwioFiFMiZ/ciIcV4ufdc7rjjjmHDhmVnZ3/zzTfPPffcxx9/nGyJEsmIdJLvRFQlsk4JQZaNTMgSAjLS2+vGz+l+8LX9aN56662CgoJRo0ZVV1cvWbLk2muvTaAVOelYBIzNIHt9LLWiJMdfsWvopEnZpCxCR6d3+w0bV9xbpTzChqUhqCKuMruF9HEj1Uq41m5ubBYhz0VFgWkU6XbSy4l+7m4/yTlt4FdwSgr73g67KIiE9nISp4QBHT5L7e5MmjTpo48+CgaDffr02bJly8iRI5MtUSKpibHhaUJIoXENDkno7YbHwrjWbm5sEslzQRSYTpFm42s7AJxyyimffPLJF198kZGR8cc//nHOnDnJliiRMKCfW+jl0Aeq1YN9B+Ken/ZPEdJMEeqXK+6tUhiimVaW70RABgNTdPKLfsmWidPJ/FDLRqSCADGFCYBFEC7o3dMXd3NTG6cKJQPdpCJKNQaF4tQ00suVbLGSzezZs2fPnp1sKTqLw2GkWVmmnUQVCAIUimm9uUecydlZhx/XdsIsgsjX9nHjxq1YsSLZUnQWQQUOAo8VDoHZoTslSAI7LYsr7qYmqhGLiAEuUsIoEYhTIhbCF3czQxlkilQbersEL9GtEkm1MIXCyofdvMg60Rjr6wZlLKoRp4XwQJCmp1ZmVoGMTmeHAkQjLMsmDOL3P00NZYjrSLOR3k54CeFre08gqtKCMDstg/T3HUr1l+wUtGm9bDZTbNZM8Y/oHPq4iFfGD35aFiVVMegUP/hppBvkn+acIIQg30n2BrA/QCtiQk2M6gyba3q6H6S5SbHALuA7r14cIdVxhFVSG0dxONlicTqTDBuTdbo/yIIqU3WiUbrFC41PdPNirO17AnR/kFXEUBtnOrC5hl9INjOUEJHgor/ccuujc+e/vPhv140r80apKaY5V9xbRadM06EzSIRJBBGdHQywqqgphp3TEgRQKNMpA4NEGCEkoGKb1xwzndMydomEVGiUEAaRIK7T8igOBfmYmxm3RMIa8cnwK/ArCKikIERrYnzQTcuRtR1gkAgAElCwvY7xITcxDpH0c5PhX64zfuxdut+9f/cBU6ztXHFvFYUhzcZsArGLcFngkkhcQ4ibZcxLVEO2nVgF4pCIQ4THCkmAX+7Z4UXMjjfO+qcQUSA2EQ6RpVqJRpk3zqe5mZF1CGAigUuCXYJESE0MtXzQzUtUQ5YNFgKHBLvIjLXdF+dru5lxSiiPUIuqNJR4A3JhKIkSJQyuuLcKAfq4kGaFRQAFi+nMIcJj4TPdxDCRoI8LbokKhKmMyBrLdoCb3M1NmpXlOuC2wiJApQBIpnlConFaIE7JwBQh24EMG3LtsIkAYBH529DEMEkgfd3EbYEIpupQdGTb+dpuZqpibHAqkbQfFXemqpWmcJrg97BaxWMl5VFUx1lljFBG0q2o9SDbzhV30+KUSFilQQXFERJSBIkw6iFWEQIfc/OS68DhCAIqCoKQNeK0sAwbyeaRAU1NqgUUkHVWHAIjLM1GzsxDFh908+KUSERjQRXFIYRUQRJAwawi4Wu7idEoRAKrrjaUEE3JMIUKx20MrRJSWKoVYQ2MMYmAARVRtsefbLE4nUZMg00kKoWqMUKYJCCus621TDfDFp3TMt448hwIKkxlEAUGAp/CttUlWyxOZ2IREVZJRZTEdBLVIOvsu1rG/Z1NTEyDVYCqMZWBEEgEcYqttUzn11PNS7adUEZE7UfF3UOVAaaIH8UV91YJqkSnJNp6afgAACAASURBVNWCXg7kOpBiBWPY4eMT3bQEVVgEaAw5TtLLjmw73CKqY6iKJlsyTqfhV2ATiURIvgO5DmRaYSHsOy+f5mamMsrSrNQuIMXCMmzEIiCm4esqPdlycTqL+rUdJMeOXnZkGWt7HFWxZEvG6TREAYrOpEY+7pVB1RxXWbirTKu4LJAE6AxhFTqDRWSpFmITzDDqnBZxSQyAKLC4jqhKCIHOmOH6zDErTglS/SUWKDoEAoeFiMQMx6mc1tAZQhpEAQ6RUQCEUUYq4skWi9NpuCQAEAlkHVGVQAADS2GEr+0m5nCYpUuUsB+tMERVN5TRc/K7/ah3+39A5zEqjfRPIQzQGQiBTSSqzoZ4eMIG0+K2kIEppK8TCgVjjBCIhKRYSBp3fjUvg1LgsSBFJLIOBkgEis769fjMqeYm10GyrFB0ElRJWENcJX6F9XPy3ZppcVswMIX0dZM4BWWMAATELYGv7SZGYyCq2rhE1BRznLFwi3ur5Djwszx87yXbayFTpFrJuEzYRAYeQsq8jM8iZRGpJq4dCjBJQI6DTM4hYZWl2/igmxOHRM7vQ7bWMKma+WU4LWSwB/1TuEXDzIzJILVxkm6jcQ2CgFQr8l0k18XnuJkZn0VKo6QmJhzy66JI8xzi5Fy+tpuZXAc5oDdR3HVFzTDFVi0B76eioqLzzz//H//4R8e7OtnwWAW3BQ4RTgkMrCpKZJ45FQDw3HPPnXfeeQUFBckWJPFkOZhdJA4RNgkKRVmM8cgDABhjt95661133ZVsQRKPTUSek6VIzClBJCyssaDC3Z3NjEXAmAzht4PEcRm0jwt5TjIuPdkynTS88MILZl3bs+3ELjKHBLsoyJSVR5nAneLMS7YdY1xNFHcXVYammWHEO6q4M8auu+660tLSgwcPJkSgkwqR4ECA1OfpEEmdworD3Mcdhw4dWrFixSeffBIOmzA1fHUMNXE4RLgkIhAUBRHXzTDVO8gzzzzz3nvvbdiwIdmCJB4CHAwShRGXBS4LiWlkX4CPOADs2LHjlFNOefTRR5MtSOJxSNjrpxFNsIugDN/5EFGO3cr0FBQULF++3LRre5TVr+0WIhBSEECchwwzNYMdTUytpzi0LFMcsHRUcf/nP/85cODAM844IyHSnGx4ZZbrhEuCJMAmIt+JaI+PNsEYu/766//yl78Qk9oqYjp6OWETmEjgtiDPSSp7/KiXlZU9+eST9957b7IF6SwsAkuxQABEgnRTnKV2HE3TFi5cmJmZWVdnwuiYKkWdDNbox/JYT9fhGGO/+93vHnvsMdOu7RR5TthEGGt7LxePKlNPYWHh999/n2wpOoGmPu7hqBrRzPDd7pCPe3l5+RNPPLFx48ZFixYlSqCTikwbLAJEAh2EgFAgw5psmZLNU089NWjQoHPOOSfZgnQWmTZIAhEEgIABIMh29HSP52uuueahhx6KRCLJFqSzSLMRbxwqJaJAJMI8lmQLdBLw6KOPnnvuuRUVFckWpFMIKiTXSaxgKiEWAo8N0R7vBvnMM88MGDBg2rRpyRaks8i0wSoQkbAjSfVYlinS8XSQsrKyiRMnSpJUWVmZbFkSjdLkHC0eU/b7KNDtQ4x0SHG/4YYbHnroofT0E3EP9Pv9l1xyiSTVC3D77bfffvvtHRGmgVgsZrFYGnruCBLggOiPMSIyAExHNlFDoY52m/BTyIYOBUFwuToxIkZJScmyZcu++eabE2seDoeNbwtjjBDyxRdf9O/fPyGCJfBPOtBKfFExFNclicQJskVqUfRQh32eEz7okUjEyBljs9ms1k7cUL7wwgsZGRkXXnjhq6++egLNX3nllQ8//BAApXTMmDFPPvlkQqSilMbjcUoTcxjSWxK+CAuaTkWRRgWckUlDHR5yWZYFQbBYErYJiMViiqKIogjA7XZ3qll07969b7zxxqZNm2688cbjbcsYC4fDPp9PURQAHo/H4XB0gowdIs8JESyiEZkxUSCEoLcz2TIllbKysmXLln311Vcn1ry7rO11UTEY1yVJjRFkSbDI0VCHPSG779pucNNNN82dO/eVV17p7F+UBJpa3D1QVQqdQezm+7UT125ff/31urq6cePGFRQUhEIhURTLy8vz8/Pb2Tw1NfXFF18855xzEr64S5KUKMVd1tmp2cwuykFqsQsY4AFstpSUBIx5SkpKxzvp1A5b5MYbb1y4cKHP5/P5fIyx0tLSAQMGeDyedjZ3uVz79u0DEA6H3W53amqqICTMmJ2ov0AFZef3o/vqFE2wZNrQ3w3ZImQnIuJEYseIEOJ2d3oWuKqqqiVLlmzcuPGEezj33HNvueUWANFoNCcnJ1F/BEqpJEmJ2qb2SqU/660fDlNJFPu4SJaLpHQ4sIzVak2s4i6Kos1mMxT3ToVSes011zzxxBN2u/0EmgcCgfnz55/kRhkAmZK4V2EaEQUCXWAZhIZCHd0Hdl+jzPXXX3/nnXcC8Pl8AILBoCzLNlt7/ca6y9o+vT/bUytrgiXTjgFuotjs2YnYsHXHtd3gpZdecjqdM2bM6AmKuxuardtb24GOKO6lpaVlZWXnnXcegJqaGlEU6+rq3nrrrXY2N76a6enphuLeBdvK4yWo4usqtqWGMR39Pch3EQA669HhIP1+/4oVK1asWAGAUrpw4cJHHnlkzpw57WxOCDGsMpIkdc1O43gpCuPTCrY/AImxUWlwWwgA2oN9Xw8ePOj1eocPHw5AUZR4PJ6RkXH48OH26xA5OTnjx48HEAqFTsJBpwy7/ezbWkQU9HFiYKpACChAG47Tex7PPfccAErphx9+WF5eHgqFNm/ePHHixHY2T0tLe+utt6ZPn57wtT2BRpm4zgZnMKckx2CxichxkLiIju/W0G2NMj6f75FHHnnkkUcA6Lp+2WWXmWxtLw6zTyvo/gAsYKPT4bIQAHrPvr5UW1v78MMPf/bZZ7t27TqB5kVFRU8//TSAeDyek5Mza9asRAmm67quJyC0F4nHG0/pUFQZ7AZoR7vWj9Cxbpp0yBgz9rqCIBzzNPXEV8A777zT2KADuPrqqzMzM//85z+fcG8nG5ThqyoWVuGUEFBJcZjZJGTaSK+enaTjiy++aHi2WCzr1q0bM2ZMEuVJLDVxtqWGGTvyqEb2BTAuEzYR2Y6eO+iTJ09uuJv46quvLl269LvvvkuuSIllp4/tDzALYXEd5RpEifV3k0xbz9XaAUiS5HA4li5dCmD37t0Wi+Wll15qv+J+8hNWsamWbaph0NAvFXlOAsCsNzLbibnX9to4ttQymwAAEY3sPbK2Z9l7tCXu+uuvv+eee3Jyck5Mcff5fFu2bAGgqmpeXt6vf/3rRAmmqqra1Fh+YgixWGOzQZYg66Kmqh01xamqqut6Ag8/VVVtOKGyWq2dqLg3xul0noRejB0hpCKsMgBDU8leDXGGoIozc8jgRPjJmIP09PQuOLXvSiqiAOCScIoHB+qYSkGBM3IEh6n+lZwmHI4wAP1TSFxDnQxvHOMyMCG7R19HXrBgwYIFC4xn8xllGLCxioZUOCXiU0hhiNlEpNtIfs/2cW+M+db28ihjDC4LGexhB+ugUlDGTs8RnT04BeWhQ4fWrl2bkZGxcePG8vLyYDC4cOHCxYsX5+TktLOH00477dlnn0UnnKaqqnpifnrNaaoB51v1GsnCLB19p4uiqOt6YiQEABBCjsuvMjFf2+XLlyekn5OHhtG2ixiRyiQLOSVVGJ3BtfYfqa6uTrYICabByJplJ650ZrOTn+cL2Qmbm92eyy677LLLLku2FAnG8IMSCYalQtHhtJFpvXu01t6M/v37p6amJluKRBJUEFIBYGgq9uuIUkRUTO1FBnKjzBFMvLZn24k7nVrt5Jwev7ZnZmYuW7bMeHa73Z9//vn48eMTqIwmHcpQWCsPblQiKAoBrN1/ge/B+802SbEi1YqAAgBeGaEYc1tYWQS9eVps89LbRfb5GQM0ykqjxKKjOMScEnHxWWJe8p2kMMQAyDqqougtoTTC+vBpfoT//d//TbYICabBBmcVMCSFWa1koEcYlspH3MzkO7HPDwboDGVRIum0JERcEunJFve0tLTrrrvOeP7kk09efvnlhh/NwR4/8wXUJoq7pg70kO4eUgYdT8BkVggwOZf0dROvzCpiJMNGYjq+rmbGO55jStKtODNXSLPgYBAxneQ6UBRmH5XRWI8P8GxixmSQ/m6iUOz0QaYQCb6pZt95+TQ3LSkWeI74vcZ1lEeZrCHC57ipybCRM3KFVAsOBFhEJ7k2UhiiH5XTeMKuF3Zvhg0b9thjjyVbigRTHmVEa+Ionylop2V2f7WdK+5t4JTIT7NJHxc5NY1lHTk+Ohjkb3Qz08uJMZlkeBoZkkINNziFoiTMB920WARMzCbDPGR8Fgan1Mf3PRhkCs+FblIIcGYO6eUkIZWVVIUkgVTE2AeltCaebMk4nUm+E+OyhOFpZJhTHf7eaqu/Ttb52l5Pfn7+lVdemWwpEgwBBLVJAqYUKGZQ27ni3jaVURSFmK/R0Mt8g25qVIqCICqiLNYoK4fC13ZTI+usNMKCKhqPc6zDaVk4Jy1uC5mcS/Kd5JdfvT24Yj8AnWFnXc8ODWh2NIqCIKuKMeYPuEoLrUEfAJmPuXnp6yZCs9A0iYhUczLQgz28jsWmGlYSZl6ZeSPEq2FkGggBz5BsYqIa+6QCfpmVRCArZJjIch0EQJaND7ppqYzh22pWEGaHQ7ARjMmGRYAkwJ2wvEmckxHK4FOQLstWv88oCXNvGfMS0/BJBQvVBYtkd2pJ3XAVloAPQGZ7E0xxuh9DU0mFrYmmXhVQtAj6dGIesy6CW9xbxivXH6INSiEOkQUV5pVZuhVjM5ItGafT2OtHTGM2EYPcEMCKwwDD0FTSi8eJMy9baphK0VeIuSWWvv+HwKESkWB8lhkuMHFaozTC1h1mu32swi8HAlGj0MO3auZlb4BFNZZVsv8Uq5wS9PoVWAP+Iakkv2cnZjE3BMiXmlnclc01VOn+xyzc4t4ywSPuEXaRnJoOKmB4OpmYJfTsHB0mJ3Rkjmc7iCODEQv5WT7hZywmJqYjrrP0H7bYvLXalPPSImWZO3aMnna13VQxrDlNiGjYVMMow4AUImlKhS8qqsi0kzHcKGNeggoA2Gqr+2Zk26g3045Bgs/D4zubnqa+MYKq6gx+BTndPOglV9xbxmMlPpn+UMeCKhzAaTkkz9HDM+uZH7cFX1ezghDTKLIkYUIeMriTjKmxCaBA+Ic95Sq2j8AFfl82DXGt3dzUxpkRvN8jsXxJkUhUcmNKLmz8kMW8uCR8G2KRg1VlSvqQCl+egJSQP9lCcTqdSFRt7BdDNA2ATej26XK54t4yFsK21DIjlaauC3INnTWYuxWZnKjONtcwlQJAlU7yPVQgfNDNjEBwOMLcVSFBVQ8EcOrhurGpYTAGvkc3LxYBDPDGmRxT+qosg8bS3YRr7eYmrrNvq9mMqmpYUgNVvrCFkSN3GzhmpSDIwl55TKMSQVVyHPBYuv1k54p7y+zysRQLEV2Ia4xQlmYlu/3sjJxuP96cNthRy/q7SViDzpiFojJGNAaJj7l5CWuoimKQGkI8niMqOUqgOoLcSARud7JF43QW2Q6yo5buCTApEs8Nw14bHckvsZidHXVsCAll6lFbXYlbC4eIQGVZiETg6v4XFTmtsCeA/k3juLuYemaOGRyeuUGxZWI6ADglZNiJEV+CZ+ExPXEKgcBjQbqVWAWmUcgajwRpZgIyI6rq0uIuCUO8RRKjsg4Eg8mWi9OJFIZoWIdTIm5dkQSCSKQ8mmyZOJ1MTEdqoNYmkcyYXyKMMuiUz3QzQxniOhOUJnHc7boimULn5Rb3lhmUQqIaq4oxlUJk6JOCwZ7uv03jtMkAN/neS4143naQ01KYq/ufqXHaINtO3HIoojKVghw8oFF4rEAwiPz8ZIvG6SxKQpAIch3w2JQJ2zZklRcc+skwLLgo2XJxOpF+TnwXiPpkxgAJyLMyi0AQDidbLk5nIRCkWEgkZs447qbYfXQCqVZkOyAJEAVEdPgVsqmGfV3NYjwBk3np64JDgrEjj4Ziap1/XQnd42cAUFSUVNE4nYJFRD8a1hh0hvSSQ0EVio7dxf4IP14zL6lWAiCmswFfvD9g17duX83QpfclWyhO59LPTdxajABgiOlEoeRgkBVVhJItF6cTUXSUB5pY3E2juHOLe8tUxjA6nQxwk7IIOxwkbhvzyYSAxTR2Tj7f7ZgTn4Jz8oWAgn1+6q4pG/T1D9GBs3b5mLO0qP++bRgwINkCchJMQGG99FC2h0Q01MUDFiuCKrTacFEFOzcf1h58YXHNmjWvv/56ZWVlRkbG3LlzL7rIPAbpUWkkrqMsqJ+3+jGjxFZWolJY+LpuXvwqTk+VcxDo9cla2ebYO/VCRbeUVoVpkA3iZ+lmhDJsqqHTSFMbTFPPme4LX6taxpjKKRYAzC4yAAQMQJ2MODe6mxSBEJHAYwUhJNNbnlu01xIJAYh8vQWHDydbOk7i0RmxhEM2ETYBNhGEgAGWUDCqsapYsoVLKtFodObMmQ8//PCMGTPmzp37/vvvJ1uihOFV2MRscl7V9l7lB40SIRz6YI+/MsYvtJgWAkiKkr/j68yygvyCXfkHdgCQIpEyfr3BpEQ0FtUgaea0uHPFvWXyXUQwlHdCAFgEQ4nnmJn6TMiMAUirKXNIsAb9AGxV5fD7+U0m85FqgSMeAUApc4T9hDG7CEsoAKCHX0u+/PLLf/vb35555pnz58+fMWPG559/nmyJEkZAgUvCaUpV40JLednmGvTsMTczfVxElONWv9f4Ma9oDwjEWIQxPubmxCURlwWCak4fd+4q0zIeCybnCrt8tJcDioLBaUQSCIBMG3h+FrMyPJUwhpIwsu20t78izYpo0E9ye6fHA5CAw4cxalSyZeQkEknAKDFULZD8j95OO7DL1++UipmXy7GIQMAz5sqyHAwG9+zZ8+WXX65atSrZ4iQMpwQADTqcgb2qPHjKiIhaH0OMYzJGpJFSIWYL1Bk/ppYXVcWiUiSc7erR0zwQCLz//vv79+8XRXHKlClnn312siVKGALBaZkkLjfV1M3iKsMV91axiXBbMDRVyBCpZAVlyHWQsTwttnkhgFNCigVTHOE0FpFEKSXiHyCFMiQjJ1MVV9zNh1uJMCJ7Du4GkF5ysCYSYm73hCyBn7C9+eab9913X0VFxdVXXz158uT2NwyFQjfeeKPH46GUArj66qsXLFiQEJFisZjFYpGkDr22MhgkjZDa6saF0uEiOR7XYjQsd0jCSCSS2AzbDR0KguB08oDzJ4hA4JQjllD9qSlhLLXogGfIgF4928F9x44d77zzzqhRo6LR6GWXXbZw4cIHHngg2UIlBiM5ar7URFPXFbUwyE7p/oPOFfeWCSj4pJzqDACTNdLHhbN7cbcik7Pbz4wYMu6KmhSK3g4yzBYCPZIZu64umcJxOgHGcKgyYikq8xw5MR8UrBD7pRNXt8+J3XHmzJkzZ84cr9d70UUXLV68+E9/+lM7Gzqdzttuu+2MM85QVRVAv3793AlKaCWKYscVdwC/ciPIIo1LPHXVp+Y60jr8RmeMJeof20kd9kx2+xg9WJZFaUNJXtQLGmmjSU9g6tSpU6dONZ4nTpx42223mUZxDylQKZysicVdUJXvvCzdRjJtyZIrMXDFvWWKwkxnMP4DUB1DSOVu7ibnUJABUCnEOi8An4w0vx++I5mxvd422nK6I7UyIqF4r8qyhhKttEwaMQyKAls3X9oTRGZm5qWXXrp27dr2NxFFcciQIePHj1cUBYDVau006U6QWpnRmibTeUCg3J3R07dqJuZQCCOrypsURSKIxaDrELnzKwDs2LFj6NChyZYiYTgkAM193ImuE0qrYyTT1r0nO1fcWyauscIQq4oDDAIlIzKh0GO34nRfKENIY/v8iGoYXuy1KMRuZQgE4D9icfd6wRhMkC6Zc4SIBi0aFcp/VNzrn2OxHq6479y589RTTwUQCoXeeeediRMnJluihOGVsbGSTfL6Ghe6q0qTJQ+ns6EMIYWpZUcp7owhGkVKSpLkOikIh8Njx46NRCLp6ekff/zxcbXduXPnokWLACiKkpeXd8cddyRKqng8brF01FDax06gNHd902JRqlrj8Q71rKqqricyvKAsy4IgGH1arVZBOIZ/B1fcWyauoyEenKyjIMg8J53ZiJNIBILqGKIaADiDdTEdCgUaW9wVBeFwD1/lTYYdtC6knFr94xvdUlEGxhCLIS0tiYIlnfnz55eWlmZlZRUXF0+fPt00B+gASsKMAZZAU8+3srJWqnO6PQJBVYzZvTVNSo20qT1+SXc6nRs2bPD7/UuWLLn66qv/85//tL+tzWbLyMgAIMtyWlqamLizC1EUO97bTzKhkea59JyE9nELYsdydBi3dxL77xUEweiwPZdkuOLeMhaB5DhYdQwAJAH93IiqzEi5xzElGkO2nfhkRDXmDHhtAuwigao2eaN7vT18lTcZcjSWpsdt0R8TKBJZRjCIWM+O4g5s2bKlqqrK7/f37t3bZD7WGkNBqLnFHaXc4m5aNIpcSXEFm454JPLj/3swgiAMGjQIwJNPPpmbm1tVVZWbm9vOtkOGDLn33nsBhEKhlIS+GS0WS8ct7gAk1lxxPzuLehwJsMIKgpAQCQ0opcfVIVfcW8YqYlAK6etiGiNUYX4Vu/3IsbOBKUfiu3PMhUjgkjA6A4pCB2l+1crCKquKkZTqOmfDLPF6ef5UUxGPZ2jhZmWxQMQejfJZnpub2/5XeDcirrHqGJyBpmqcz9dKdU63RyBI0WWX2iTZEotE4jocPVtxV1W1QVncuXOn3W43LOjmoCDEUkNKZtNCD8wQyp0r7i0zwE2KQ8wiEIFhW0Bw2VAWYWURlEbY1F5cdTchBOjvJgUh5on4NMqq4yTbCa/MvDLynSTN2KLX1iZZSk5CyYFcHW+eO7GmLlxdEj1tFDp2mso5SREJ+jjhDDXV1BUF8Tjs9iQJxelEBIK+YlyQm/g1E00r9spptZG8ZIl1EnD//fdv2bJlyJAhdXV1H3zwwV//+tcEWpGTS1zHd172M+0oNd0UOZi44t4yWXaclSccCLLiMEu30QGp9X+omjhq48jmy7sZGZdJnBJCJdWqjgwrazC018RYmuElVV3dRnNOt8OhxnJpc68YKRYNh6IHg2xYKtfcTYhVJH2d1BH2AwAhsifNZljfg0GuuJuV0U4FSr3izkSR6DoAKRouqe7RivsDDzzw1VdfFRcXp6SkPP7443379k22RAnDrzDKWlLTTZGDiSvurZJth1UkDPCGyU4f4jpzSujvRlTjMZ7NiUAw2EOi8ZpSC+piqPbJE9a+aI8EDv9qFlIHAFxxNx3xuD3e/KxcDkaVSCxghuWd0wID3KSiNGCobrLDFUnNMhT37wt9Y3Jyki0dp1MQ5Tji9Vv0cGZeSnUZgGggooQiPfl17nQ6zz333GRL0Sk4RJREmBI/KqGaKSzuPKlQy8g6+7icflhGt9XQ/5aTfQFaEmaFIeysg51HfTUpFVH2finbu7/qcISVREjKgZ3uuipJjqdv3lhfIxRCtLlnBacbE4vFQ/UDSo+ECNDCkdLaqM6SJxWnM8my40xrfYxX2ZOOVI/xXFMVqOtY2lTOSYvXHzNMrUwQyjL7GIXxUCTsC/VYrd3cCIRENSZo9UEbdemIC5ApLO5ccW+ZXX74FADQGUIqOxRETRxVcRbRWMgM485pDmXYVMMUndlqqyhDREdaeYnxkaesiDVs02tqWu2C090IhOLRYL3FvTJ3oPEgRiMhfzSeyCi9nJOLzGi9g7ualh5yphrPxB8MmcEYx2kOZdh/sP6wVHa4q1KyjWcSjujhKOVbdDMSUDDMI9j1enVNdzjqP+AWdxPjjdfP5oDKVEoYIBEmEQRV1MT5RDchIRUqhaAq1oAvrgEMuTX1irugaygqrq/HvWVMhM8fFWP1FvfC/iONB2s8alPiRSE+zc0JAwpL6oO4VzizvLZ6i3tlhd/BXUfNSEhlxFefKDfq9NR56h2i7PFINBjhirspcUkgBBatXnHXHC7jQZe54m5eHBIBoOiQdaZQSALsEpEIZB0y5WdrJsQuMgBWb41GmQa4IwF3NPDjxwcO1D9UVCRDOk6nIMbj4hHfp719RxsPDjlC4jGfzN/n5mSfn1VV1LvKeO2pFZZ6i7vm9yv8mMWM2EViDdQv5lFHSm1a/X1UmxwlkQif56Yk3YbeTpAjUWWitnrFfVOFbILTVK64t0x/F/b42TYvK40QEKRZiUTgFNHbRVJMEi6J0wSbSNwWdnhPSWUMso5etYebfFx5RF8vKOh62TidRBbiQqzeVaa47zDjwSZHPXo805Y8sTidSXkUUrR+0GN2l99Rr7jbwoEyrsWZEZsId6j+jCXoTven1bvK2NV4hqDpMnd+NSen5wjWIxZ30VnvKqPG1b3+bj/NE3A06Pf7nU6n1ZqAZFQnDxUx1tdFbAKziySuMouEfCcRCQakkN6unm5xp5T6/X4zZWoAoFLEdTK0+qBNQpYN2bEmYZ5JMFj/5PejthZZWUkQkZNotGjMdsRVxj+43lXGIUdzEXPyWJAmhYCJR3ZrYasz6qpX3OHzxXnEMCAWizkaHIJNgUpBjljcWVoqy6lX3F1qLMdJ7HIUiUilyTnZIORHi7v8o6uMElS7/TTvkMV9xYoV+fn5gwcPTk9Pv/TSS8Ph5jkIuy81ccg60xicEvo6Wb4D4zLJhCwyLpPkmWpNOz4opRdeeKHb7R4xYkRWVtYzzzyTbIkShl+BKquOsmLK4LKQ1HioycehENiRbXqD20zPoLCw8LbbbjvzzDMnTZq0aNGiQCBw7DbdBH8wLh1JwJQzapAuPrqg0gAAIABJREFUSgBEVektysPd3f88ldMSfVxECdUr7rLNFXfX+7jnRrw2qXu/zjsCpXTWrFnp6enZ2dl9+vRZtWpVsiVKGH4FQqDeOYqlpdl71fu4O9R4XyfQs5OnmpiYxpiqGc9+0Wk8FNcpQjfX2tFBxT0vL+/TTz/1er1lZWUlJSUPP/xwosRKOrVxHAiiTkadDJ2RXi7h9Bxydi9yRk63H/KOwBibPn16ZWVlVVXVmjVrbr311l27diVbqMQgCaxyV0E4rsd1xHXYY00Vd0p/DAS5c+ePSnwP4Pvvv/d4PI8//viTTz65devWBQsWJFuihMECAUHTAOiStU5yK64Uo3ygEEtjPDSgOREJEKmfy8zpdGSkGc85cV8vZ/LESjaMsQkTJuzfvz8cDr/44ovXXXfd3r17ky1UYpAEROvqj0z97sxISv1ZsUONpVq54m5OVIpPKhjUeleZmiOKuz+qat3/7d0hV5nf/OY3xkNaWtoFF1ywc+fORIh0UqA31czcFnqKh0ccgCiKN954o/E8ZcqU/Pz8AwcOjBo1KrlSJQTKSK+93zX8aIseOT4SBFAKAKEQXC4AKCvD999j7NiuFzIpXHTRRRdddJHx/NBDD11wwQXJlSeBMG+9Q1TclQKCuCvVEfQBsMpRxONwu5MqXTKJRCLr16//4YcfUlNTL7744gEDBiRbooRxKMT6afWKe0aaozK93uKeHfenOnuuXUYUxbvuust4Pvfcc3v37r13797hw4cnV6qEQBmzReoV96gnI5pWr7iTeBwAT81hSsqjiCmUUAqAEaJZ6i8tuZh2KMR+1qt7z/TEXE5VFOXdd9+dNm1a+5tQSisqKgoKCgoLCwsLC30+37HbdCFZduEUD9KsSLVigIvl2Lr3MHcGmzdvrqmpOf3009vfhFJaUFBQUFBQVFRUUFCgnkwRVbU637CqfSkW2AQ4JTiiRyzu/frVPzS4uQP473+xb19Xi3gSsHXrVnO8yw3s4Xq3n7g71S0x5qnX4RCLIR5PmlgnAdddd90zzzxDKd29e/epp566cePGY7fpJoRU+AP1uprs+NHinhkLWHmwBgDAd999V1VVNXHixPY3YYz5fD6fz+f3+30+HzWMHScHik7SlHpDDMvM7Jt/5FZDLAZwxd2cyDojer2fjC5aZKE+qEgwptbEur3JPQFWZMbYLbfckp6evnDhwva3CofDf/jDH4xLMPODwSmTJ0+ZMgUAnE6WmalPnsxav/tIAgHxs89IXR1isaOdFnRVhSjqVivsdpqfr0+ZAru91a5qa8WNG4nPh3gcjdaa4RGSf0Sr1DQt3S7JbgZRZOnp+llnsV69Wu2wpET86isSDELTWqvDZFm2HQlaYbEwp5OOH0/b0IcURfz6a6G4GNEoWloQ1UGDwhdcAEAQBKezK457KyoqZs+e/fjjj+fl5bW/VTQaNXZ3fVW1n67ft2FD39YteaS0VNi/nw4fzvLzW60TjQpbtzKPJzJ4MCGtbq6E/ftJYSEbMYI2aOFHYd/yFdFUlwCXAEKpxXB9JkQfMkQsKgKg+f20IemaomDlSjp6tPbLX0JsJZUuY+KWLcL+/aCU9usXHTOmDQnJ4cPipk0kFqP5+fqZZ7bxjRUOHhQ2bSLRaOznP8fgwQBsNpvF0hWhjnbv3v3AAw+8++67x9XqhRdeeOuttwAwxk477bTVq1cnRBhKaTweZx3xWdI06YjiLqS4Bjtk9YiJXQuFlLo6mpbWEQllWRYEIYFDE41GVVUVRRGAy+Vq4+vUcZ566inPkW2MxWJ56qmnJk+e3Hm/riupk9H3iHdE3OqUjljchVCw9UY9iJqamlmzZi1ZsqR3797tbxWJRAYNGgSAMUYI+eKLL/r3758QeTp+d07UmBSuH1xnloeIjEkS0TTouhKNarW1eijUdg+JkpD4fIjF2nijgVLx66+jffuyfv0A2Gw2k4X96DKy7EQ4YhnUJIsm1uu6Vl2VWnljdyMSoLgvWrRo+/btGzZsEFvTYFrC4/GsXLly+vTpiqKIDz0kCkL9xjcaRW0tvF7ccAOElgwglOLZZ+H3t9azqGmCIAjxOIJBVFcjHMacOS1XVRS8+WaLLm4DGQ7LzIj3KTGtl8US9UES4A6FyDvv4Pbb0eL7OBbD2rXH3METRbHqja6+BQJYuxY5OWhNrVy/Hps3t9EhZczRhcf6NTU155133oIFC6677rrjauh2uwsLCwFEvv7atX49Dh7Eqae2XNXrxZo1iMfxww+45RakpLRc7V//qo/PqOvOqVNbrrNnD/79bzCG3bv/P3vvHWfXVZ4LP2u306dr1Lt7b9hgDBhwBxtDDB/cGxxCCymQcPlyCb+YL7lJfkmcEBJIbn6xuYEbhxLA2AbjXrAlGxdZkmVVWxpN08yZeua03fde7/fHLnPqzJmqGWmeP6Qz+6y9zt6rPu+z3vUu/O7v1g0I09vNmuW0Ri5BKeQ9g5A3NTkbNnvNWtI0VIyhb76JzZtx9dW1M3z5ZTz/vP95eBimGfvIR2qnHB7Gz37mW3pDQ2AMt95aO2V/Px56yPsYV5TEIlZ6V1fXjTfe+K1vfevd9cq5Dj7ykY/8yZ/8CQBVVdvb25Pz9Mycc1EUE4nE7LNQ1TjzrWunqSUajUY7fLFAchxJEOboKiPL8vwSd+ngQfmKK2Y0zM4aIWsHIAhCJHLqRMdsibC4NenjHm8L9Nf8CnHHxMTEDTfccMcdd3zpS1+a0Y3JZHJ4eBhAoVBI1RuuZ4s5ZpgCbFv3PrP2zrPbo4gnkM8BUFxXAerOL7N4wmKx7riRz+O++8A5PvYx1NPpnnsOL79Mmzcn5rsMTze0RZBgoeIuRSM+1+2UXbb8t7LMlbjfddddzz777DPPPFM60M8Dxsawdy8uv7zGVwcPTsHaa6CrC0NDqCkMv/ZavY0psoBtKWZxABhX0V8kbyNyVMQWaMKePbjqqhq37dw5+3W355/HJz9Z43qxiNdem2WeC4BsNnvzzTffcsstd91111zzeuMNXHdd7WFu507fV8G28cILuPnmGmn6+sKo6uJzz+Gaa2pbei+95C/LuC6eegqf+ESNNCMjGBtrkpFsYhaHFCgoelNbX2rtud4fNef155/HFVdUEnoARHj11dILwmuv4d3vrm027NlTtj6zdy+uugqdnTVSvvxyjYsLj56enuuuu+7rX//6nXfeOdN7m5ubPSluIWb0OcE0BcOfzuPtLe9YxYrJFo/EZbNaXDOWltKVyQgvvogrrljknz148OB99923Y8eOxm/Rdf073/nOU0895bougOuvv/5973vfvDyMYRiu60rSnKatCGettt/BO1sUt8m3/ahYNOfsH2UYxvwuf4UZMsYW2nzK5XI33XTTtddeeyrFmfAgm35Pv+yM1l85MGKJWD4HIJvTW2Y6ZRtG3RXR/fvx5JP4vd9DzXiaO3f64/wrr9Qm7oaBmXS0FUyBYZ0Mw1fcmSyLit8rNyhOqmXZu8TNaQS8++67/+Vf/uWee+7Zs2cPgObm5hl5xU2DgwdrE/eZslgivPYaPvjBGl/t2TP1rYoAh2PMYmJQ0YaLjIGOesS9q2tmz1Zxbz6PavvnwAEsGV9wy7Le//73p1KpG2644emnnwZwzjnnbNiwYZbZcY4336xdy6XnHO3bh5tuQrVjwOuTe0mZYWBwENVPUiigv+QopWPHYNs1VksOH/b+FxiiIgoTBY9gWi3t2pogz5rLqaaJEyewbVuN589kSi8w72I1cXdd7N9fdoVzHDtWg7gXi+FzLib6+/vf9773feYzn/noRz/q7UVpaWlZUD+NRYJpho7siY6W11SsSfq+Ma5udI1o5y7+I+XzOHYMl11W46ujR+EudoTK3t7eD37wg9/4xjcunslWbEEQUqlUW1ubR9zj8fh8rRKIAeaSyZktkAKDjccTm9b7lc5Ude7POffHq5fhQvc4y7JuuukmQRA+8IEPzMPYvtSg+zU+oqQyJty4b63lcnq8qM3ARCfC97+Pj32sxkwN4IUXUCjgpZdQbalyjn37/M89PbXn+p6emq6wC4disfjAAw+88MILhmFcddVVn/3sZ0+ZtbVRA5PESZIigeK+VrY3tSz7yWtOxJ1zfsMNN/zsZz/z/jzrrLPmk7gPDoKokq5xjsHBGWc1MFDjomlifHzaW00OUNWV0VE4DiqEH9PE6OiMn60U6XSNzjyL910wmKa5fft2APfee6935bOf/eycBvfDh2sQ95GRMnnbMDAxgeo9DxUl09VVg7i/+WbZLgjXRTpdwyUpnS79iwcc3Wzr0NYHiev5Qfb31yDufX01Uvb24sora1yslnxOnKhxezq9yMO6h0ceeSSbzX7zm9/85je/6V3p7++fk4/KEoFhhMSdmptHdWoLwk2Ihp4vnozzFPfuxQsv4IwzaowDNVvUQmJgYOC66677oz/6o8997nMzujESiXz84x/33CABzKOTruM4sizPUXE/pw2W49O4M9clrESSZIXZFmxbdt0ptpc0AlmW51dxn/cM68EwDM+N7e677/aufOlLXzpFiLvrhj09F0kBsIPAr4Kpm4VaxL2nB21tNbrhwYM4cQI7dtSQAnUdIyMAyqSiEGNjCLdIEeHw4RraX3d3gy80X9i5c+ePfvSjD33oQ8lk8p/+6Z+effbZkM4tdwjAsYxP3C1RlhR/0NgWc+cpJsvJxJxGwK997Wvz9Rw1YBjIZNDeXnZxfHw28vPICFy3chNhOt1INO7qOAOKAHCOkRFUbDEZGJgrr0qncfbZNS4uGaRSqZ/85CfzmWNvbw3zrHrhIp2uJO6OU2kmHT+O97ynRv4VOHGiBnEvz0pW/ZV0s71TW7vRv1ov3G/NYdobwStQk3vVNPZqEvfh4doPsMD4whe+8IUvfOGk/PTCokRxZ62tsgCzyW9jgmko1qJHlSHCnj2wbfT3ozrE6uIS9+Hh4euvv/4zn/nMH/7hHy7m7y4OFMPvy8NCqj9DW+NJJZcBoE4UE2vnRNyXL5qamp566qmT/RQLA8uC6R/LEG1rRhFO0ifuomlEjFquMjt3YtOmGhNKT8/kvxXo7/cZhUctKia1Cpmp5mBeus68KLjppptuDtxQL7300osuukjTtMWJb7HQ4IAVuMq4kqQHUWWWjv/CXLC0TY9qpXxoaDb5uG4NetSYki0LaFUm+b0ioC1S50lqkq0ZoZqj23YjywLLGLZdQ8muLofqyhoervQc8JZoKlDurwLUqibbRnk00pgREvdV+roS4l7T0jtxosb1muNyoVCjNmsS93y+hkv97Br/CurBNMMFdLS3b2tiZuuk4r5WWHTiXijAO5W22urLZOou+CwMfv/3f7+vr++ZZ565/vrrr7/++lONvqshcY8DkzTuxNDK/tRTEabpq92MbVmTjEuwg+Nyk46h2EblAJ7JoKsLe/bUGNi94TqTqRE1LlRwPM2xAhWT2thYZQLDqHFxgVHqf5VOp5ubm6NzW3FaOrA5zkn6dcQkuTUeiNSnBHFf2ocKDQzgoovKrsxadKzen9qwkr06hlZAd5kkoEmGwOo8ydx9WqpzGBo6Kd4Ri4pMpnJFsjqof3Vl1TRyVLVyq2s1Ua62BsfGKgqZBb4rLRtXX70thWgUhgEi6Dqq1YhqT54qS2ASo6OVi0j1BuuBgcpiOUmK+xKCbaOvzwuCOQ8oUdzR2npOE9Ib/aqJWnqCLfrJqeFkX13Ri77sdtddd5UuszQ3N0+RePkh6OBuLA7ACRwn7MJcIw+uYCliYsKn4JFIRJHeu1qX2/323OQa4LxyYPcs51wO+TwqWr5H3DnH+DhWry77qlQSSqcrx/mKLlw9MWWzJ/FA7mKx+KUvfenP//zPhZoBHurghRde8Padu667fv360IF27lBVdY6bOgSLicFaiiCLbpCbpWnWnAOM2rbtuq5TP+T3TFEaOzgej09bC0ubuFeLkXMh7tNeqY+EzBIVfobVt88o1k1NFApQVZR6Dy8lP5mFwvg4KqK5V7PeBqtvYqKMuKtqjWN0vBD7pW6y1c0sEOQ6t65FjCGV8vNR1RrEHUAuV0bcR0bqDsG5XOWVesS9ohAc5xRfe2kE/f349a8XhLi3tzOGNZv8rcOiMX8HMA0MYO3aynhHb72FwUFce23ZxZC4Vyvucx9bZohLLrlkkX9xURF0cB73iLs/aLRZi7qssYJFQjiWxuMAZAGpVcERDeEZTKUDe9gTJybKiLuqTu5HGh2tJO6lI3Y6XRbpmKhywvKyKv3RRe/jIXRdv+22266++uovfvGLM7rx7LPP/spXvgJA07S2trZ59LFxXXeOuZ0bhSoH1F9W2lL+RgaZMWnOz+kR93lcnRBFMSTujdhOS5u4V3sLzHr3ZzU9mmM/qWZR8xIGOJstI+7VPO/UQ8WqoiecV0DTYFllURdrVl82i40bJ/+sXq8EQIR8voxn1yfu/ipNKuWnUVWsWlUjz4pqqungXjOlrqOe9V+RsmpZ4BTHnj2IRnHeeWUXe3pw/DgmJtDaOg8/Ueoqs2oVAB5Wbsm+1bli1y687W2oOMtm164aS+2ldKGitZ8O48BiIqj3i9ZFDxmwA+K+1l1yijvTtLlHGT/dEfaskLG1VBH3mukrZpnSmaJi1uC8zJmtQnbR9cmdqSHGx8uI+0k6PN4wjNtvv339+vX33HPPTEXuVatWXX/99ViAUL+CIMxI+6+GIuDt7f6MmYjJUtIfTi3TicwtZ+/xiGiOT1iR4YxeeWn7uFdQYaLZO3pWZKXrc3V1UtUyH2vbnp+Tkyte8HQ4E6TCBKq3YlhRMjVbQsXYV0+irijVan4fEndv/3E4yter4gpeNYVNOMVMMPVDng4toRRHjmDv3sqLPT0gmmvsphCl7Nxb125t9aVxy5qf7mxZOHSoxla2TKa2I7uH6ndcIe7zCMPwh+5IZH1KvGWj0Nrh+6Sxxd1I0BBWqn7uCOeFUBQLhZuaxD2cOComlCmIe6FQxgcamccrxMSTobhblvWxj30slUp973vfW5yT3RYTghNwPFk6qvsidd+E1V88aS5J84WlTdwtq0z3quDKM8LcCHHOokGN0hr08PeJyrTS+RpeKx5sCU4k844K3lxPeGikZCruram4T5uV4/ghCARhj9h5aIJ4c0Dc6wWWabzWKtrJFCrLadgSSjE+Xml3ce7vT2hkhpti0SNEqauMp7jLCoWrn/MhgLHBQVhWJXHnHNksVLVysaX0fSvayQp7m0eEvTiRACALUJoDsXDpmcdspernjnDESCYBuISheOCAHp7XXorSta+a11GlCk09XNccvasVq0XHQw899PDDD+/atevss8/evn379u3be6vjsC1fBOKsCskVfV9n5joHJpY9cV/arjIA8vnJwLpz4S6exB4GxJ1JVqMGso53gg5lLWxKsoQUZNI838dln4aKeyZTFjyrHmEqLRnbnnRyKEXF2FePuFfMhRX8KRjEnVii1426WWqPtfjOjPWI+9QZzkvK04q4uy4mJsAYOJ/0Dg/t9mk7RbGI55/HRz9adrE0Kw+hSCbLSKUMy/3VsHhDJB7RNABaJh+vvqUU1RHfvCcvFa68SqyI5JjN+r87MjK5JYOorOVXNIwV9jaPCFla6KgQrvIvvXJeIe7zgHBeSCQ4Yccwa1PavFAVtqpLACudTWx7coSpmIxKB+Gpe2ihUDY+1ByyKnI4GcT9lltu6SoPvryuIsj1skbgjuiIMpcC4m7bmgPyCN2yxdJW3FHe4ue4F7j09pkQ4kyJcxoB40ZgrpV24xXFfdZwnLJ1lXrjV2lReMNiNaYYZ0tRUcgV7Spg5048wRUFgJZsrfiqEo2TbFUt89Gaokmrapkb9OnQEkJMTIBzuG5ZYwhLYNq+NjSEI0cqS+yNNyqThXZdNArGDmVRdPwwIwDGs9o0bu6HD1c2wuefx65dZVe8llYq7aPOJlRVLfOCLW0YllXbTF3B7FCuuAMlxP3kbRCsDSJ2Omg3C42wDFOptEY5m1lt/rnUoqEVbJR1zzAEDaomlNLxX9PK1v8rBiXXLUtcc/ReAsQ9mUxuK8finPa1SAimWlGRKQhHITh2Sl7erB3LjLjPkbtUML/pYHMUbKg2iMpq2Qn/LM1kIRT3uTviLxeUjnH1aFkjLSGfL+NS9dyUS7MKQ/wCAHQXem6SuJMoAbBag3XVBl1lpqDj3tbYEPUyRNWOjjlHsFpOCL0/S9dMwtKomOFKJ1oPQ0P+EbmleOWVymYTtrRYDEDWAgAnOAsdum5qU0aE3Lu3ckln//66C+ilPx3eVZq4oiWUVvdSY5PLHeWKe8bEiBRU+lKTt4vF2XuHriBE0A3NeCpvA4DV3OrJ4YJp2g4vM4wrxud65jRRWZ+tJgDT8o3S23U9PCJqBfOGgD4lY5IYnJwqus6lHUue906HJf8CC0Tcp+PZGRPH8tSvUq9KORsEEHx6EAtXwmcr4Tf6kKePyFo6hNXjso2UDC8fghsRyINKJKC3SN0FmpjwrziJlM2JCFZbxzQZlsYn4XwqOo5yHjY1HZ/Hxr+8EDLaUmpbT3HfvRsvvFB2xYu8VlpiqoqhoUpf86AitEj85718QCVOk5EBJV1XnPpTqa7j+PEy24AIuVwFlZ/c7Fha0WGa0osVbWYhVvNW4KFEce8u4tlBPij4irs1scSKesVmmw9QMJAOisnXxihjMTcScaMx72LM0stmjQp2PoV6MrV1XTp61+zCpbefVsP7oiFYspYU+bwOfyVhveKsWv5nTJ2uxH3KrByOYZ00BzkLqg2ZIa1hQMWAhqKN9mitTBbCVeb0WSRthLg3WDLh7a5b18Gglv9VxkTBRtGGU/BzmIg27R7D7nHiHQFxnyLSSJinpk0Tt7F0vG6cuJ8Cinvjx1WE1LaUB4clUCFDZjI4cqTsdo+4l5ZedzeI6hF3K5Ys2ERExwrIR/0AI02OxqbQwE6cqBT1Na3GOcc1Ffdw/X2KZr8QosAKPJQo7odyAkoOYCqML7GiXiHu8wE10GImIimH05jB9hVkQ/GJe9wuP7ShYpAvnVAqfOcaV9xrjt6lR3HPSwyrFVQgdFiQJFH2BVfRnbdTk04iljxxn0dvgYaJu8ExbmDcRMHGhIVBnUVEdEaxOoakhLGaPu7zxatMc3LJ7PSxwit8B2uiweoLb9e0uqcg6fokiQyyKto0rCNrgavBcWvNzee24MJWVmj1HSKncUmfNk3FE06bOJwMOD8FiDtr3FE7LMxSezisdM7Lpsnx8bJk4S7P0kbi8enyM1BCHS4XSb4+jiN5ljPJSfnE3dXKfdxHRsr81rzMS4m7x7G8471ChM9ZU1xvkLivTOrzi8nTlxI2BwA7uWSiyvT3l/25stgyH7Dz/lAwqjS9kaE+na1pkhHsZjGL2lTrtGHvKxYrJ5SpJZhpFffS9eGpF2lXMDuEQ7EsTwYmOSXcj5cVcV8sVxlO0EoUPd2FzUkRIQsAgxrWe2mG8zi5htmehsS9wtelFKXjZiOK+9Tu46XDMQBAc+ASACh64OPe3NyssIgIs63Djy5iGHVl4zDDaWstTDnFmkBFymlV/GWBKfoIUZmIXrMSa/ZfImQyZYFiwyjd1XZ16eRq2yx4HiPeBGBAQ9ZmUqsf+pOrWpmP+0MP4dVXKx+mdHepNzd7oR7Dnwjrt8Jvp/rtKprrihq3YCjm/fIcRGzC29gQKO4R7aSax8UifvKTygjIK5gz3KJfjEaiWXcxaiASj/C4r7gbBb1R4l6Bqa3rsMtXRF+omcNKH18IhBxdlifPSl8h7ouB0h41X8S9lLfVAgNiInSHchZpDomMZGFyf+rkxwUi7o1Qz1MM4ZtOIZOX0twpSmaKcbZmsqASoyIDULRJLPpXjFb/HE2uRHgYtq9etrMg7qXkbOqUJ10InA9MpbgfOlR2HElpewhRc4GrUIBtl235Db+q9rIrtf1MkzT/efR4ihNcDonBavKJu6jrtl4ea6J6a4SqThpUIV8P3HtYPTe/8O1K7cCKJs15mdm2gnmCzXF8yC9qMxIHsa48HeX+5tS4eVKJ+/g4CgUMD09eOX2mgIVEJNBi0pFm06GESK4ohT7uoq5NZSxNsZQaXgnFgprfTjHOl6ZZwbyjxFVmUnFv3GNzCWPJE/dw0qrYxD0LhLfr+tSEKSKiaPsO7jkLnBApKadmJWDuuu5P25Y1n63hNJywGxQewm+noIA1Od8UWQXpZYFyJhVsKIHq5nb4xJ0pCgsX06cl7o27ykyb8hRbSJ2iRl58sYy41+wCFQGXPIQ+5aV7DKrTe0VdavuZJjP8z31i80sjXHPRGYPV7B+pKOlaPNyc6m0+rt5VXCoBhLQ+9MuvaWk4Tlmciims9PD2kzcOjIyM9Fc4byxzTJhUorjHjxWIgyXbAv+o4kntaJ6LV6m9txIGdD4gGX6N98kt/SpTBKZEZDfqu8pEPR/30AKfueJeW5IIL07RfxucrVYwO5S4yujMJ+6GYU8tly0LLHnibtu+2WSacw2M1UhHAgAUbVgcsoCICEWAyBCXKCYiJrI1MdYRbk4lqn1g8hxxGhL3BhcZGqnBBmlxmFXJ5lQwpghI6D5hSqzrbFKwJoYr1kVYKlDc6wnqjZPsWVD8U6Il1FXcVRWDg5MU3HUnt3mEUlZFrJ6wQMK7Qt4clmqtnQyT35YEAuLNzauijAggslt94h4xNcEKHsNjVDUd7sOnCml9zfqtx8KnaPkndRn9iSee2LBhw7p166699trF//WFg8NRCLYqWrHE8SIzXKRa/d5Ni0zcK06p9Ey+BsPFrqBhhNuWqKU1LkFgtCEp0GT8KA1Ek2NOPcV9ih5ac2RrRGZacZVZUASKuyXKe/K+q0xBs/eML3vmvuSJO4I2PXftoZGOBAAo2BST0KKwpMyaFNYkQxLY1hTbmkJbpDzpQhD3hg2MUwdTni/YAAAgAElEQVQzlckbUdynnvOqOLHuoFlGi+Aqlg6ABKFtXfsN64Vr1ggtqcjkES3TKu7TNtQqsX/6lKeG8FZaudVuJCEFL11ZDm3jiuXmalm9WnEPQ7mVLtaVEHceuMrYzS0pGeti1BJhF57pRxASdG1yLvdIec04nmHO4QOUruxVp69H3Ktb/klV484777zHH3/8wQcfXPyfXlBwIGr5fhF2JEqMSQx24OMu6Itb1K+/XmYNesR9gTwwT2MIgSeM0tayOclaFWxvQkenv8zi99N60+6K4r58EQg3WS45oq+4C47TXSBzmZ+OsHyI+9xbtuv6i9TTZZWUAUAUEPE2pAIJuc5JW/P1bNV54lSha42gwZAsXoGY5lSOSQ3S4iriHpcBhmTg5GrGkqkm3wkSijJ5NH09xb1xdXwWxP2UGNZZ6Vu8+uokEa8g7jUnzoq+UF2GIQGq3s9a6koeNjDLYgFLE9vb1sZZQmaKwKSO4LAtvWTLmqe4hwegEtUg7lVzcNl0Hp7z1bied1IN+I0bN15wwQWiKE6fdFkhJrGk7ZdnrxtrkalJgRM4wonG4g65w8N4663JP6sV91Oi4590yIGrjNi5KiJCANqjApoC4u4Vste1TbNy8+IUg/DU43PofrOiuJ8sBFVpizKXfOLOHBuA7i5v0V2aPslJR4VBPBdoGhRl2k7SHmEdERoL5LakjHXxKZ9tRXGfIzxqJUkNKe5Tp5mp4h6U9rYUG9MpogW8PJWUlGA7i6LMQHGftta8rRGC0FBKIjB2irSE0rc4dgwXX4xVq4CAXoc+7jWpbUUJVPeRasE7zLmmr7lphsRab/LdYy5t4yjGEI3CMEA0aUuEWns2izVrypxwqjWzeoZ3zcHHex7brnFuopfScZbdkYq2be/YsSOXyzmOA+DCCy88//zz5yVnHmAOWSCb9avMjcUzJrVI3JVkLsmCYzPX5ZqG6OwPaJnB4xGxkRG89RZdfrl3gY2Pe9usycvBcZhphhkyxhhb7ie1LxaKxUmpBZCCNRa9qRXAOzu5IgDNzf7XpdJA9awxhSjuUXNBqK24e6uFicRUo/cptotpKYETxvJWJwBAJdENosoIriMLSNWTYpcJlgNxn0dVW9fR0tKIDXBZBxvSqOAgLrIOmcR6tTxfbjzVeYbrA6cJNA1NTQ0R9wZDKDZC3EsKOSHhnWtYLu2TPKUpCUXxE89IcZ+2MXAOw0A8Pn1Kb+hvJOVyALMsuC5EEbaNkRH09JQRd8OAqiKRqL05rJ7iXu0zU+0KX9PXvMTHXW5v25DAFW24og1Iy4jHffmtmrjnclizpkZQ9tJVoHomnKahpaW2q0zNtroQosCiwLKs55577vDhwx7jdF1369at85KzruuyLEvS7Ket/eNIWX5ps1hkneI0Cfxd7cSSCa+W9ZERCg9cm9UTNrhMwSYmZE2j0VHbq2LTVAoFADQ25l1hhYJs25ZlkaYBEAQhHq8nIK2gBJzjH/8Rn/oUNm4EJs9rI1m+alPsrGa2UeQA/MEHgc1fj7hPocgQTTOSe8R9itHby3O6MHcrmAUOZUkoOh5xdyQlT74MR5Z9RQery+iWCZYPcZ8vxR1158Kijdcz3HCxLSlsa8KaOFsDoFbcz7SGrEUtEbZG11n9DGeJZTthzwkecW9kc+q0insjKnWwjNNX4G/mKCbholbWpLBVTsDJkmXE3Y6nvH7PC8Xa7mUzcmvRNMTjDaX0iPsp0xg0DakUhofBOXp78ba3ASVkOperIVDV7LPV5lnNlZZq4l4sAlBtTIwUNng2myB87PI2XCA6DjkOoCiIx32nhUxGd6EIEEM/HI/BVxP30scLXWUqgjfXZAY11xOmePHlgEQi8eUvf/nGG2+0LAuAEvajOUMUxTkS97jGo7a/gpFsTsUjcjwmr2oW0dTkVW7CdUvF2pmCiJIN3t7fD0WBbUe89LbtDziWFYnHIQgoFKAobjQam8PznI6YmIDrIp9/YwKP9bkbRob/OwCAxWK3bxYQjjednX76QuFEkdL92tbt1FE9Adk2LAuKUncHajxed9v9tF04sNnmGnhjBVXoLaJD96lbxhWHHJ+4i66d1rE+cfKebD6wHIj7PBLZ+l43/Sp+0uWaHGBsz6h7cbtw44baRtn9Pby3AJdIESHuyv/+OyAshI/7Mpyw54RG3roRE87Ts2OxRrL66q9yrV3EAQZ6bQy/sYVtDDgZlRD3Lk16cSxxJwDAzBV6c3ROc1Xb8MIfCUJD6ySN26Kahvb2U0NxBwLi7h046jmOo0osr0ltp1Xca6601CLu//NV+wfHcONLI9/1rsRiKGWWsoxA13zmQObLD9lNCv6yq3htAgy1fG+qmXc9B6eaLfxUVNyXMs5uwbDhl7YVjYuMLmwTAEz6wi3amQmecahplY5zXgClVOrU6fWLjPFxAP/6avYuyTI5u/L4kEfcUbFekUggEvFI88+PqE/F1AHD+VZUu7o6Q1Wt62E7dSeddpxfAnP9fffdt3v37nQ6/Zd/+Zdnn332SXyS+UVPgWK6vwo67Mhpe3Jzak+Bzm5e3t4yy2dz6gIr7r/s4zpnLsHlMAl7x6lQ64CtHWn+ZpY0B6bLihZ7udd4qHe+17kWwv1m6cN766lPL2qQyhSLldGya/1cTx6PvaU5RC6Hw1nRosdP8PABSon7h59yjkmtxBiAqKk91+84NXe2aNq0RwRMpmzkRWaUclnAe5EK3bqCuDfCdz2NKow5g0AYQzkJ9j6XNKqXj+f/7TAfNymW86Ot25FoGXFXFCR8NaY4OvFWDrtH+Ss96u5RmnzmqRX38PTfmi9S0yypSdxPatUPDQ3dfffd999/fzabvfvuu//zP//zpDzGzGBZ0/a+ZkXYJPhtJtEU//jWYP9S6PG8oMR9375Jt6vwKIDqJuS12BW/59lhfDxv4akjBc1hNqdkMThXIRYrS6Yo4f5UWS04qnZgAvfsydfYtaiqk2GpK+A5NU3hKoMpu7DnJT9tXOAFAxHdf//9bW1tjz766FjpSRrLHy6R6AThIAXZEULibgNQl/nxqcuBuC+84s4JeYtzAoEREXE4nPaM8wEN4yZ4SU8+MAFODAABBEDTHuuf7uD6mcLbGHfKcLUGUS2O1kszbWkXi9OXnqY9OeSSYXFiRCAQAeMGzEzgFJFKeXyuv4iuAtelaC7WDIARCdmJ0ZonWHvEvRF4U3K9c7Ar8sQpZMWV1nJ4jmkFca9oA/X4q1fapRsBNQ2uW1aq3l0lEff29qu6yxzOWoPpPC/GxriSD628ko3IbcVxIpJty7HcfRmq/YRTGBsVtVZzHJvCVeakKu6u605MTHR2dn7uc5+bmJgozPHU6sVBd3dty7/cho9afr18/MLk+c1B+wljjJTGZ5x3PPkkurr8zxWhtEoruvrKChrBxAQMA+PjxwokF4s2h8tZS97v6UY0sW+cxsOd3oriBtGEkkYhZmkOkM9qNcb2XK5uXcxRcfe85E/ewdiMsV/84hd/9md/Fp3DhuyliU0JpnBfcY9EpOaEv/OEOTZjaI4sY7kdy8NVZuEVd8MlF8zn54yBwIGCxXIW5YAssE0GmC/GhzSegKilF+35Jtmes8cpw9UahKbVjq1RkQYNtIRCoVJcqYZljRadiK0RAAaAEcAJQsZXHXKptnZFMV06kOVEMEUlk2hr0bIAWooTDl/l3VYGVZ08V3lq5HJlavEU8IqlptizHOFNUaXnmEajle7pFcyppqsMAF1nFYsqmgaiGuHeS+ZFu6iTC2Jo1XxHnaIUO5iTtAG+LopLWwBFCcXXJj0vOlbE1Djgr795T14t6lcTd9dlloXSMCBVVoR/e70zoRsxZRcM69ev/9u//duT8tOzR3c3ZHmSgoc4evSnsfP+7bCrO/zq1eLfqZqvV5X6TrS0eP8/cXDi0Q5nexO78yyxZd6c8wEAlgVVrRH+qN42iRXiPlO88QYSCWQyqk1xt0AEMLSpfk8vKImjeTqap/Pj7NwUuKxocd9GT+mFuKESQTFUO0qVY3suh7a22r+o65iL4u59u6C24ukK1aEJ1Z8gxrmcivmdWXCc81tYbJnHuT3NiHsdxT1nIiowOxTvGAnw5lwGQHNYn0qaAwIkEAMjb0hgiFvqlhTNf8drXLs9ZaBp03MUzxGlEVeZBrZzSUU1jC8BAhilyJbVIgASxSGl+XBGGnLpWJYkQbBEOZNo3TYKAB3auLfqUomhITQYjyKTaXRDUrF4SrWEUuIOoFCA41QeNl7Rm0ZHgTqKezVxr76CMuIuCzziGroc6yj4FpoVT3JZAdCvUpPEmKasUlLetrUmPdek56LeDksRnCBUK+6WVWOFR9NqPLCue3vmyi56fjU1m7Rtw3H8119BI+juRlsbtm2ruPzo4/s/33GmSQIR9k/wr4yra70vahH3pw5lv7uWFAkP9zkPXC+lGrPEG4LnJFN94IDXnEq7+Qpxnx3270ckgmKRM9asF8EIYG1q4BQX913gDkxgjDhlpK0Rn7g3GYWEWSSg2dFqjO25XN1B2BNWPCf4mt+WngNdL4eTp7jPEU8++aQXMIqINm7c+Nhjj81XzqqqzjH46aEx8X2uPx0wgRHzZ1vZtTZI6hz1ENu2Xdd1pjhPZoYwTVMQBFmWAcTjcUGYxhdmORD3fH7SbXSOKLcBhgx05SglISEjKZPmgAMEJoBFpEnlTnVgGYhJ4ITVMaHgcIf7TaqVG3S8i2t6wYYiIDZfxVlvLj+FoWnTOLgjiN7YCHGv4x5KhMM5yppYn4CSHljLdOaRdgYBbI3uh/+zmttGLSFPCoCYwrYkXVdSMgn/aJ5ObUJ3YLowXCRkSOHwMjBQuf+pHjKZRuv3+HFcfHFDKZcFPNYSjpoVNaWqpVEay9JUd39NYxULETVDuXGOYpGT79uWlFizrelytF3169qIJV1JAeASnkljsyhHY80ecW/W8y1aViAXQHsEJkfME8grRv10ugZxr/XAyGZRHeRbVet6M2vaCnFvFKqKkRHU8tPddWAoftlYMbEKxFxWcjxqaW9tbfX+TxazJodp0Suj9P1j7u+eK8K2G11Jmxoeca9W3KsdY07qYstygm2jv98z1Wh0tK9ndNykdQnBcbGaFwQQBwvX1oy47xhzMC+wCDpk2U34izMpo5CwNAFYzXXThUswOSIC/KCBU7vKjI3VJZjeIW5T77vQ9eWruF9zzTV///d/D0BV1ZaWlkbjKTWAGURnqgWHw2Ruk+APtk3J6LDkd3bBceb+nB5xn0f/IlmWQ+LeCJYDcS8WceDAvPm4Dwx4EZcfO8H3Z8AJAkNcAGcQBHjOzgJDQgQF62UWR0IAAAa0RtBiMM0lIsgCSzBteN8bD6e57kAQsCWJyzuEeQgR+sorp92E3YjiDuDhhzEyMk2aOiq1zfHvb/GsCQCSgK5ot6S5IgMnYmCiQGu0gLi3thOByzIR4iLe0SlI8UixyZ/a27XMzgw/OAGLIybisg5hkzcODA5iw4aGXjaTadQQHR7G4GBDKZcFcjm47mRfLhTKykFVJ7fulWJ4uLr7s64utLeXXfLUr1I4TjY99thRZ1gHA62OMctFK9fHGNoDHc6KJ3kkAiBvM5uDxxQ7FbjKGPlOI0eC2CzDIRzOUt6yX3mleMdgfqsIodRgq/Zcr7lEEAbSqUhcj7gXi37skRVMi4kJEFUTd9PiUi7bOT40FOsAExjxWODj/roe2xAnfz4P/KNa1AlOYAyGy14Z4r+7toCeHlxyyTw8YaniXrpyWI+4L4t9BScXzz6LoSFs22YTPvXToYu6CIAs8KQCxTLijBtgrbpvKWmxFAAiOBwAuKy4AYFrNgsdjro1SWuh7Z/wx/aEhMs6hHXxKRV3Xa9pK/pIp/H009O8wnJW3OPx+LZt2wAUCoVUGJdpCUAS0KL4+1ABuJLUnAi47vzJ5CcRy4G4A9ixY35OI8pknPv+UwLSKr0+TpwYERGY5UVrBvOEOQa4QNHGsM5iItoU0lwqGMwluERRCWAwHLgEy3ZjRw/3MXI5Y8C4AVmgS9tZ0YbJ0aqUzO4zwv798/CyywsNEvcDB6ZPUyhU0CbPPPt5Dx83QAQCbILQ359samEgxgAiAYhlfeKuN7e1KHhNl0dVAoPJ0RRT1OB8zWQ+M6hBYH62OZs+tJk1y5gYyQr9wy2NvKxhTB7uMy1ef73RlEsfuZzv1e2hWCwrB1WtLT4NDdXYyLt/P7voorIrtRxUvnj/wLkFT25nWoEEhphlCIC3XQFAMZoasKSYRALQEUHaljpZxFEikmVKrnNxsW+kabUsQnNo1ygR8NiBiY7jWqGdXdIe9O10uvLxDh1C9TSm63WJez1V4sSJGgr96YZCoUZhVsMbPapYVC6TE4ivyQ/tYxcCRMTipl/ax91Y36j7gRRMl1ii2dsW06pNEECEVi17zoGDYICmzSdx91iaYUx6ylVHFlpR3BvE8DBlMgz49PP26Ikxz9nV5qS5iItImkUr2pIyfFqciTS9maONCWxJoadA6aKcjDRtBwA063mZEdM1u6CesCEwcA6BIWPx2zcJqVwul1HjLpRqx+ip18Sy2elH7xUf94XBBzYJgutzdEGWrt8UiNmnxIaxZULc5yNQ0bCO57q1okVxCRzkcnDyGQQDmRwRgQAmCBAAAWBAiwJZgOWwrOnvVxEZi4pkuCwqQmCwOTNtzgXmcBCD5mDPOI3o1FuEzRGT8N61bGtqee9fXiQ0SNwbQYnP8Z5x2p8hl7AmxvpUv8aJGIBVuZE8AwMEMCaAMbQUfV7ltLarnI24CjGA0BFhXImoqVZijBEltZxjOa4oeYHDDJf/ehiqzcZMqIPHNoPftlmITBuu6cSJRl+nv38WZbBEUUHNi8Wy9ZN6xL2vrwZ/tW1h796yK8EUmNaprwiJYXUMheKgS+StnnGAETq4Lolo1vwfykVTWZJtG9sTfPcoVMIWFjESTUlrFMD64e5iNAlg3GAyIwLD0EhGp9fGsCqGt3LImqRMnLh6c7y19EnSaTz+eOUDz0Jx7+2tff20woEDOOusytWVaoQh9r3zdwNkf/nkR/Y8GNEKT5x3HcBk15a4A4BEiUty3uRPD/CCwzbypqsAeBYdEQFbJnrfObIDZjz0opkrPOJu25UWZk3FvdojawVE2LsX552HaBTAT4/z3Isjipo/9JLx3IB4VSGT0nN3/vo/Bc5/evlHMqvWN5nFXKylJVDcnVTTmhgiIhsyaMTBGlEpBlpMa3E8xvgmnrcN2wEJBBcgYoaLV0apOFjcOZE5q5uvjeEDmwSpdD6fWnFvBFUy0yLjHe94x5tvvgng1ltvBbB79+75Ouf45OLSdmYmfOL+wW2K0CSAMRD5cYTn5kB/0rFMiHtjMF2MmogAbVHkLPywy82YjDHaEMf71ok/6OKmCwAMEBjzWTvzYjsyIuJgAojABEYxkTGGiAAwaA5aIxgzyXAQlxERwACDg4EcYgQyXBAYODEBQypGdDgcBDATD/TQf98uPj3IJ0wkZLxrDc5sEgAYLlxCTJytJH/qYbbEPWdBdZBgUIA9Y/zZQcpJuYE385+xueqwV0c4J4BhUPUpexBGBozz1okhr8oBSAwduWEvT6ut3WDyqhjezHGCsC5OejRiM2Ei2d5WGGNEqzMneto3EzEwuC7bN04c5BKYUXyL0Y+7+OWr2AtpsonWxISb1iOpME7QHAgMUU+2GRho9A0bCQy/XEBU5vmTz5fpVa6LoaEad9Xhr8yyIMtjOnYMcYNjU2v+Gin3bJq/NgqHQ2BQRLS3DBNA3khNjBg5uiZbVsrw/RCM5tb2qLAqhlETogCBw5UUM9GcnBgFsDXTN7RuuxerxiDGgURm2OAY1fFQj6vazCEm5ArHhtVPbkVEwKEsiQLOa2HR6iUCy6otzmWzdZcT+/pqXz+t0NsLxqYn7mFY9P378fa3vzqKJ084a+L45F1fjgyntw28+Xe3/PFYsr3F9W0kJxYHMGJAB1ojMAJ352Y9zxhEhovyJwq64xaKubzham5HXGQAhoawZs0sXyR0A8vlymp8dLRyE5eqwjBOjTX9SlRwpnIrC0eOoKUlLOHc3gPaG4dw680p4Od9/C8eH7rj8Yeefjt+8/aL+wr0rd3aH6VzYPjhq+OjqVVt+dHLena3qhMAPvnyD//vuz6VNFQGChX3YrKlWWEAVIetjiMryKoYMZNNkWJedJ1EPqNkRl0ih4MYIwJALsfuUeKAQUOjOmV0aA5/Ryd+lYbFsS6OGxJaxHWJYLoQGORZhNceGjq5I/xLL710En99QRHhvrieiMk6AEny5XbHmZ9dKycPS5q4uwTdgSwgIgJA0ca4iZiIzhgA5G3sG+c5G1uS7PwW9uQAf30cNkFgbEOCD2pkOgADiHUX8H+Pup5jDJjH0VG2Z5kgMMYBgTGRQWKISRAYTA5FAAFdeRQccCJLYzKD63VrMMYQ0EECGBE4CNzf8UiA6tB33nLBQcCEifu7cftmGlaFbs0lYq0Krl0naA5+2ecWbLQq7NZNQmcMRQd9BYqKbFNqcu8jL4m6b3N/98xsRoqlCcfxvCZMFw4hKkJkICBjomBjVRSei1pvkY5kiYEubhNbIviPY3zMICLITDynxX09AyJIriEUCs+ME2PgxDwHKBfMD77v1zuB+QReYBBBrbbakh0BQKJodK4tIProAFMtMlzuEt4BmYid6NjUVhgDsHm0p7t9s1fpILICa4AYOGe9Rd5bFDy7cMKkQY3+2zZxx5A4YXFJwJYk3rVG2Ll3YO+oS4QzmtgtGwWBYVTHiEGdUdYZhLIMloN86C6IEF3uxl6pxdLfX8lZazn0W6qu2ohJiIpwCY/0U1+Ri4yd1yzEZf74Cc5JAMOz+7TXjExRpfAIFYujMzcc2ucAgZis62u10YTpEzitud0FAczigsHdt3J8taGcHWnyeGLL2CAvag731+gAdGaHOTEbNG54AWQJjFk6v+8oaY535gN7doA+slXojOBoHjmb2iI4u4VFBOSOn+gap2YZW1PMq0QCMDxStz5XvJyJ0NcHx8Hb3152fXQUq1aVXQnLas+e3+NX/LiLXEKzWfzscBqA7Nqf+vX3//HGL6cCB3c3FgegOVgrAwAFQSQ7zPyGBGIiu7DYlzHxy17SXeupR4cuPnf1588Roy++iI0bceWVM3gFx4EogvNJaTafL4soVSzi8OFKxf0UqHpNw2OP4e1vx/r13gXzqWfc9HDkk//NG9uH9xzBT3/a8qXPR9euBrCvL5f71o+yZ5x//uc+ui7ObnrcPu/nL28Y7fsP89oPXxL9h/10RW+35SKSHvzczgskCRvH0mtyQ+OJ9kQxayVXtauZrWM93g9FHPOq46/8wPq0JLBm3S9JPdnMOWQBWYu9OE7xnLRexVBq9eZiHkB7drg1OwoG7hn6jAGMOJkExrAqP8rBONCV5115xokxRiM6uncXfuuM4gtpYdx2RcbOaBbe1oE3MvTSCHeJnd/Krl3LGJC1MGFQe4w1VdPFoSEAFgcnRMTqGMMrmAFOFOjPXneGBvJta1v++CLxotD09Wi6LHvEnSz72THp+UGn1VBvPr/lnIbcW5cW5krcJyYmXnzxxVWrVl155ZVzDN/z9AA/kgPnOKMZN24QXhqhXw9xiyAynNPMWiJ4dYRsDoGhNcIubsPzadhEIOwdo6ckqA5cwIsb0JPzPJcBeHMjd30yDcCP1A4/CfM+MMYEACBOEAWmu0gyDOuQBeg28hYcgkOMExyAc+Z6G1kJRIwYgRgYQBw+QfRZIRGRx7cZgZjl0oM9nDHmEgMwqqNP5TnT891gqo17jrgXtrGDWXJdgCEi4LfOEo/lae8YN1wWl3D9OjZh0UujZLmsWcY1a9j5rYvd2Y8cOdLV1XXRRRdt3LhxLvnkLHqkn0ZNRAS8u5OdERn5r6POCY1xYnGR3rtOeH2Mpw3GOSSBzmtlmoOjOeIgBvbqqBuXWNHxInMyl9Pr4wEZJ+osjBCYr+5QyNvCYZGYH70dAoNLIMY2DfkHo2RWbx525CGm5ExuuSjYJICNuIrNqWfVlou69wDYOtbzK3qP91tBjU/mzr3GwDxbjrIWvnuUe+SPgY0a2DXmqjYDGBjtGaOunBuXMax7+6FpTYx+8wzxF318UCUOtjaOWzawpwept0CMYWOSvX8ta48u1xGe9584kqW8SRtTbD0KBLwyQgezJDO8rZNtoZEXBvnRHDiwNcVuWM+eHuD7M7CJRIazmtioiRHdc32hHQbIm2IZAGovjOdM0x+FGECMQFFTY4wRyGscjFHU1LYMdgnEARiRuC7H+oso2pSS6FdpZhOKgjyaaPPO/l47PpBSJyxOYR2vLgx7LQsgQPC7OShngQVCnebigR43IVLOBgBZwOsZEPHeokogEIuI/LfPEl8a5sfyyB1NbyP3Y1vFmIxdo3xQRZOCt3cKEQHHi+gr8iaZbW9i7ZGTUFknAaEi29eHTZswMgJNQ08PLKss4t6Pf4wPfQgbN06mD5juYM/wrtxhbfU5HHTGYHd4x2d2/J9v3/iHCdsn7roSHzVwUStOmBhQqd1pvhYA0GTkXTBDMyITY5QZIVsd6tg60D26i3UmJffTQ0PWGwfz0ea2C8+exn5Op7F2LQAcPoz29rKznI8exerVZYlfeKHMGezkHcozODjY3d197rnnttWLXD4d2MAAzj47Y7F//5dnE7v3qTvGLvvjz79rLfvCI0NnfG8HiD9aPP4/P7D53sPOxp+9sGHUOvx3v1790dtGTep55o3rBskZPvJbTcXOFmVoVHvvaL/Dqa3/6DfYFQB++8X7zkkfWZMbevL8G2wH3//3O686/ioXhC2Zns9/8n8367l12XT4GGuyQ0lL50DC8BdyM7HWY6PUHsXRopAxOWeK6dJoc+fm9FEAbbmR+PgohdGeARAx5v78AKcAACAASURBVKvvAnc8jcb11R4/TVZ3v3MYlitwkAAM6e7Lwyxrw0u8Y4gOTLCUhBMqOMAYbUrQJ7aJj/bzfg0Ox5YkbthgPDfIj+bBgC0pXLtWaJ7f0wNOG2RMuuYRa1xnN+zb+eAlH9iZdg/ptr/13CPukk93/+oV/X+npc50T8IxvzcU/+erpfesXWYK6JyI+969e2+66aZ3vOMdx44dO+OMMx544IFpw09Ww+bgnH5wnPcUPN9CvDbK9k+4hq+XwwXtz3gCNgMjl9iozp8eYD5LYyBC3g7IGfNn1IBUedcFcAILqJUfhZ2JvgTPiIiBoiJzCZzg/au7cE1SBLgcxIgTc4PTXVwij8QDEEAcCIMKkqfpkq/FTvJ4Lw1jNichuGYRDAtBegJjHGzf5G49ZnB85zD3ZQCQ5uC/uhG47JLusAd7uc2Fs2dbg7PAX/3VX/3rv/7r1Vdf/fzzz3/729/+xCc+MYtMTA7Xxr1HuKciA/hZD5f7Cib3KokKHA/3cjD/VCzO2b4xIs/GIkYgFyg4k6dhhcTKK9mIbfrVP8ndAWJMIEb+SgmBSQyK4Jt/G4ePe/f3r96qOihGojaHzeESIwZNlF1ix9q3eG7u67MDUds05Ii3gIPAYAACgyC0FhgjIsPxXkUgwLC5SwxC2EyRc3yG5zWTtIF/3O86fjhhOpZj/5zjHu0E0eEsBlT+O+cs6kBz7733/vM//7Nt23feeefXvva1WZvoOYv+z45RzQYxxsA3JZG3kAnCHPcWKS5bmu0bMBMmHcoywwEHgeAAByZcrwy9XkXggAh4tYy4qfkzKguCQIEBJLJghY0AYBXpbeO+6q/GUpao9Kk0rCMmciLkLJZHZLDJX6zvzA7GC1mrpHnFLG3yDDZvGSzo32FLIEC1meHJPQy2g76863pPBQbA5Lj3iEsEYpCKhT7gXw7yuIysRV4mu0bcqIy8yQjEGEVFdtsmtq3Ep+DUxOOPI5XCO9+Jri78/Of48pfx1lsA4Dg4ehTnn+8n03WMj+P738d11yGdxm23Hc/Tr/fmKM2TMiyiG4//4th71+Wiqa3Dx8K8zxw6etZYd9LxhW0hHlsVRdZg3QUiMC3uK+5xvdimoMMstmWGPvbMvwvEn77whl+e8/4+lX5wyN68f7Q3z/PfePDJO774l1cnLq93bEM6je9/H1/5CgQB+/dj3bqyb3fvxpYtlelLQXRSoop9+9vf/ou/+ItLLrnk9ddf/+53v3vbbbfNIhOemZh44833vJj68Eu7NRfoPvH1e186dsYVV+96yXWclFE4Z9czHxHvXKWNXTncuyY7GNOKf7393blI8q79T7392MsJS92z4aJHL7z58y//6FMv3tes59775nPv/R9PfXjfL37n+XsBvOetHSda1//7Nb991fFXAQicf/yVn/zoyo9vGe/zrHEPqwqja9x8TEDC9Il7X6T1WIEMYqoN02VFQXaJjTR5oV/RkRtO5UYcf7rwjX+fTPgL6oD/DQvmG0bENUfwhnuXke7C5bxk/EHG4JlJFY/1FNk3DrgO9y38NzLsQJb73pwMr49Tr+p+/uxlfjjQScL/ep2PGoJk6Bf27XvmnPemebw/a/nUyKPsgXvMdw9ZmTh7/7HXjq0+42ie/fU+es/ak/XUs8SciPvXv/71P/iDP/j617+uadoFF1zwxBNP3HzzzY3f7oK9MES7R2hbGr0BawdAgOEg6DeY5EY+KAjUGOjcvsfCpPQZkObgwyRlZ8EBqV7HYQRixATGCKS7PjmKiohL/uZUUWDpIhhYRIDEoDrkclgBQyOCyB1XlCnINsw7oIyeKT4p94OBI1DkQ+c2FjhyeJ8pIIIMnAXvzuBTGJ+RAIBL7JlBvtXFdCeFzg+Ghob++q//et++fWeeeeYTTzzx6U9/+o477mg8+CiAMYN2pnmmT3C6HN1lYS1xCKZnXAXWjl80nENgRIzAggWNoLi80dOv9KD6OTzrCQguUpgGRB5nJ1FgROQS8yq9QxvffuKwd4+2ebvEkBeVmIiYCAKKNgpC1OawlMRw05o1ubTA+Xve2vHE+Tf4b0Vlg3XQAHxrwfvoOcQzfxEWwRzgfWSTbZgIgFNWy57TDfnGAKFgs6cG6LrGC31ueO655/70T//0l7/8ZXNz86233rpx48ZPfvKTM8qhaNOxPFgeO46S6jDyaTd6895RZ/4rckLR9BzCPIkcml3iLsSIPJYM+C5PJPgZIbg4WeMs8FabFNAEBgITDGPNcI93gxlL2ooiMEREpjuC5vAmGUJUHm/zmdaq3IjgOi4TKdTTg8bnf/TaHmdBbQbN0tvzEFzl4Yjkrw+AT5r0BGIGkWHCExQAmNw1TSF8Vd3Fw338c6uxhCKuzTsKBbzyCrZswTvfiZ07kc9jeBiHDnlfuoePZDo2kGO0rW5XewYfOuoMag7b9YvtqxMXv+fWax527uwrxE06a+SYRG6k8+xNY337N1ywfbSr9Bc6c0MskO09V5kBDWc1s36Vigm/aBNGoeigpVA8s3e/RwSvOvpSKjuu2qyvd+S1YdfmIKjWr1/9sHb1S7dG/uZ1a+KNI8radV95d+sFbSI8KWrXnoiqYngYTU3o6kKhUOZTS4TubkyN4eH5KNMZYHx8/Gtf+9rLL7984YUXPvjgg1/84hc/8IEPiOIMSGTWwkvD7mg/G33m0dvHipf17rmye5crSBHXfnl88GO7H7j5wOOt6sS+jRcdWHvuR17/xWd2fre9OO4KYl/7poHWNX/6yN9IrgPgH3761efOee9fPfj/dRTHAbz7rRduOfjEx1/9SfhDd7z2wMG154Z/MtBvvvSD9dkyLzuRu6v6j1nnUDxwirNbO7YmIQnIORSXEI8pikCjAXFfkx1q07I88HklFrIFj1UHszMJJUv3k8MLMTBiRIEMx0LOUTK2MwLBduETEgIAzksc+YCsyZ4Z4Nc2XugrCHBwnEyXzksfXpcZaClm1La4qvuuMiYTgUnizm2LQFtHj4Noz+ZLD01wl8R5iOK9iJg9cdd1/bHHHvvWt74FIB6P33777Q899NCMiPtRK/XKYefVEfzNG4fPKZmgA+oGR5AcSZqcjMFk7oh+iJ9SKh+gxB3GS8AFwRIVXYmpkYSqxF1BBADGZNdK6sWkrUVdK2oZzDeI/R4kMUQlKAJSMkSBNVlc54wTRMvgLkVNNaYVWouZ9uJ40iwyIs6EYjQ5nmjPJFrzsSZNiRFjuhQrnZprPySb/NWIbQaCAZv8CgDgiJItyOX3lgrJ+NYjTS0X8I9uY2vjC9v6HnnkkUsuueTMM88EcP3119u2/fLLL7/rXe9q9H5BvL+b39/Nm/aMfeLY4bgcs2TZEKO6EnNF0WWiSG7EMeOmHrUNxbFEckXOFccSiCuOVWLYkCNIjig5gmSLMhgMKWKLEUNWLEkxpQhAsutGbCPqmIpjS2SL3DWlqCsIphLTlbiuxAWRcULMVFfnht938BmRuwDGVm0odqwBkIoHC5bEBcZYJOrFkXzxzKt/47WfAbiye1fEtTKJVhCithGxzdABy5CihhKxJIUzwZCint1gS4ojSoYUNSWFAjFecSzFtmTXjrgm4wQGkbuKYzPwiG2K/luDM8GUFEeQHVEiBkOK2gP48+cKb4/y27fMx7kBU+Lee+/9/Oc/f9VVVwH44z/+43vuuWdGxN1m8n8dp51pt7NbSFmBj4k3jzGaNFoAgPs90F+voKhlRBxTIA4GQ4qZksIhQAilMEx2Cd/WBRhkxzl36PAZw10d6rgpRQ6uP3/fxku4KAggYpBNdd2YH6inGE06kqIwpGRwlwQGgQFyxJAj2WRbSzEjcndVbiTdsgb+NI02NbMqPypyxzOtXEG0JEWNJLKxZktSSp8ILLA/wEEiGE2+3eR/VPIu/nWRu7JjRRxLIAIjU4y4gqhR9Ic94jlDuGYtlGW0rhs6c3d3IxKZ1J4dx/7V89IVl7HWVgC2i8LeQy2chP5+jI053b19Rep/eNcFPen2CHaP0ZM/Ozz2i8FD2y7Z+r6rBp/puzTvjwNvDGp/8MPxUSnVUsz8xu4Hzhw5BuAXl9z63NnvBrB9pIy4ry+OFIJAIh5xB7AjTccK5DhJb0iNmhpcN2qoZwy+6SVIGYUbDj3180tubc4Mm6636IdLul977ox3nvlTa+3YiU/tvL+/beO1+d/6xfVCb1Z4ZNi59slj2yz+tmM9LF98vscZOTK4Ls7euxaKAIeQtyALmOJMVodDnGLnw8Lg4YcfPv/88y+88EIAt91222c/+9lXXnnl6quvbvR+JjzQ497fA/2YeO3wxHuO/vq6w89633x4z4Nxo/jxXT8WOAdwUf8bn3nxe7fsf6K9OA5A5O6nXvyPfKxJCoL3nTV89Js//n891u7hU7++711v7Qz/PH/w0C37y6I2rc8OrA1CC9iiLLs2gK3po6nihJetJUeykaYWgQFYG2VjFhxJJmAi1aEr8ZilpYzCptG+no7NwSov2rTM5rGezsJIylABcgS5EE1OJFpGk6uGmztNMRJ2ZG88J0LU1lq0fMosRG1DcS3ZcUTu2JLsMskRRVuQwsk9ahmya0vcDfu+JSm2KFlSREuzf3ipcHmS37xBWN7bmRYXRHRR3/4X/+bdimMd69z+Dzf8j4Ar4tWsfJ6DeEDcRcdtz4999dG/SxmF1fnhH37wizZfZsx99sQ9nU5zzkMv502bNj311FON327b9k+PaPtaLA3yHa/9bIoyexH4GvA3wDtn/awBfipK3+b8OwI7p5HT5hvA88DXgW8Qv1LPN+n5rWPT6SgNQAfuAK4BvtbwLY+bxY/v+cO0Kvz5ZSwiL+BC24kTJzZt2uR9FgRhw4YNJxoPawjYUuzfXh46xFu/0v36R3c/UPrVPcD9wH8BUwSP6AV+G/gd4P+Z8le+AgwCP6xh2E1CAz4KvAf4o5KLxNgLl90UJwJwVof0kc34yT3/NLbrmff/rx+5uiIL4IQj68/r7X5t83ivQPzS3rJwhL8LmMB3p3w2D/8GPAD8FzCtG+m3gUeBnwBNVV/9+MqPPtl5qcjoQ5uFOW4vmRoHDx684447vM+XX375V7/61RndPhZZ84Nj7iuj/Ku9Pa0n9nVp+WuSrS3/P3vfHR9Hda79nDNle1+tuixZluTeeweDbTBgA6YTE1qAQG7ghgRSSeVeUggJ3JAbCAkQJ6GXUGyaC7j3bku2epd2tb1MO98fs7taCeMCmMT57vuHfprZmTNnyjnnedvzxiPuWKA92iNJifmM6Y6ILk74UJUuAiyaZlSSBjkFIAq8BSwC9AI5umImc8JGQlROGG6yx0RL2GSPGKyH5CRNhi9Ixaq76vSVOwa8CSzqbRzbsvevM69TOJ4wKIGO+sZdeqp3n8XVq4oJFVI80vbR23NmnF8rO5K8KFL0eQqd0cDbAOs+SpyFDBjeeWj6kfVbwt3zgGxeJANeB+YCQ4A+i7vVVdLqKtpLaK+mTTI73LGAO9bnSITMUjykSNul+GJOFMGMWTUPeENTxxNaqmvvSirjhAIDXgMmAmWZa/VZXBPPveumatw3jvtisLssy6flT/u4kNpajBu3bnN91+NPS7xou/PWpRN9mzrUVx76m7e5NuHYX/ofNzqtpl+u7Z6wZe+QgFZhkUavfOPtA0pMJuzoto8IK7agPQaFSXbWXdh8+MmjU5Z3tvWbPBhz9nTEXGx6/RYdtQOo6TySF+0lTK0aCNzdkR7enC526KemA30snCKHg0xmiCtcSjQapQRhjEajlUd3O2L93J1zj6wnlBUGO4f4m+YfWXcsb+iH1bNdUb/f5hrfsFMDigPNpcf2XUrHSBpviAZHtvb2UbLhxUNKcyvVGBiaI9rOXlxQSt9rY0mFgcApsFuG820xtrGLxVV4DFhQRBIqWd+phSWW19453Y3CUyvE/LlIS0tLRUWF/j/HcWVlZS2nQ0SrCOY/7OjeFbKIv795Y9sBgWlVQA8QBKTOWtZZ+z0gAXCACUh9+KefMGYEGEAB1rq3hTEZsAMKQBgr/eipB9M+ZoQBeccrQ8EcgAhMBHo0ZeSmlSuAJwEFuAUY11n7NSkB4DtAo8X913AXALl5d/ixq3cBE4CY0darCU7gw8e/K8qxi7/xyN5e0cwTu5k0DBk5sm77TuCpXa8Nn3pFsd03uu3g1PqtRRkT/n8BDcD/5jr9Ab/V0+EofIGp66L+73jKKmPBgnCnNTmAGO0l4G/A4znTxSBRga8Aw4FvDtx/1aTL/uEaT8BfWHoW6ej/TGEMHgMbffQj3dT11Q8e//XCu00szSojccLBEJlGBT1RyAzl+nVP6MRiS3e9tvP6/0ioxHhWBSh9euCeSqUIIVlXmiAIyY8zoH2ySJJUG5JjTu6khJrHgA+BY58HcD+oKhuBThXDP3NTutQCHwH1wOmwDJxEYsC6E4LO4wkLy+zlJvXGSlbtPYMfoCRJPN//zYiimEqlTnD8IJE1cjRGFAPHqYNpuTcD64HACYF7B7AemHIy4L4GaAXUE37cUWAtwAHfyuxRKbd+7PldjoIRVLMKsHtIHdS+gxvC+9dHwqHRbp4STWVEY3h50rJLd7xa7m8a1Ob7wCkOgM3AOiBwCsB9A7AOCB0PuIOwg0H2ZpO8pJj7jOjqxNLb22vPcG44HI5gMChJkiieagrVS5sPSAURZrAtOvDOr+u3PA9cCeh2vOVAExAH9Pn0l8B/AU8DK3JO/zPwNeC/gPsBAKIi6VPzNQAP9IX66SPvAtqArwPZZ/E0cCfwM+A7gZbLtr3492nXAGzjrld/33lkJjAX6LLlBcCHkkrnqj+se/S+L3/zJ+dd/Z+Ci88zaAlfYUvTgQuBSUc3Lh869aI9b45uO/AicAXwdeCRzCV2AcuAS4DXAHcs4I4Fxrbu/RZwEAgAuXQFPwceBV5G7NKcnZuBK4HlwAsfe25bgUuBy4EXM3s0Qpui7E+HlWnO5Pnl5jOqrQUCgeuuu27Dhg2CIPz4xz++8847P107ZMeOb3eXSH9+zRFlYMmeh5/75SVfdm14f1JDbYIQ+Hu2PPI3JnCLe5oYI0mCwyHUrjmmaNC9JwpIpCtg01if1Q2gLNA678C6ms7awlBnTceRvaVjA2Z3YbBD4fksagdQFmgpjvUIHDcsZycAX6Q3lqYLQh9vbo6ylMwYYQmFJDXEDRajlADAR8OTDm/IPbHc3wSVlPU1Ld39D2c8OMTf7In1vTH2oiRvGNlx0BUPWJLxiS279paO5giqe+pVRlSVsfoGvRq3vsZJCl5v0vS4NzDml8gj+1VVYwooNNYZR22IqQwaAJCOuFwbINcMJZ+E+T53icfjuYPaaDTGT4dfPKVib7cyvu6dba37GCABgyoP6bnDCpACwJiuE2TiHNPKalZVOqQNKtzA9mdM0y1ACzBZlbYCDwMJ4AUgHAvcxxiAlYT4EyHdhdfT2xgKduwEJgBRozUI3oJU3eqVkJNL//Mhp0g5jmia1ls1FnXbtwNrE6EZB969Mx52xQfUW3geqAN+g/54VAJ4o35v1P9L4EOgONw97HjPZDXwMvDtTwbuceBvwJiPAXeF43YH2Gv1yfMLhDM6t/8bCOvsZG4PFQVQriyRzgwp9zddfPhd3XwDQOWEzT2YQHl9oSnmUrete0L/KS/mdxtIXGEukaC7Gz7fP+EeTl8+PXAvKChgjPn9fp/PB6Cnp6doUArOCcVisUwaPWp1lICxg0Uj0y7k/vgXAjBeVXhNmQ3sZpqN0Ho9eIbjs+NdoXyOs4kM/IfoTmdRkU1S3CLFLVLsAU27G3AACuVjBkvUaEnxhpRgzHq9OU0FGEeIyAEMNgE2ERxYn8qripoSjbIGxWgOitZWo6vb6AmYHPer0jFOeCwRdEcD7lifNRU1yQmiMaOSzIb+5Nz34LgZlVCOaQBL8QYtTWyDt5lqpHRH5lnk+NSO2yCO+YYCtCelGY1nlnuioKBgx44d2c2enp7CwtNI6zCzpOxwx5Oky+E7VDjcoKRERTLJSaOcfFxTfsGYldAQb0gIxqRokjhB4XiN0BRvYISkeAOANzXFSvkNgKDKnKbymiyoCgCjnBQV2aCkDHJqrSopQIITUrwo8YakYFApr1DOoKR4TTVJcbOU8MqJTk2zAEnBGDQ7mj1l9dWTYk6vSEiZjeaZSJPJ2qeKSx58oTscSXL2uNRn4ggDUVUWMdqfmbViaE99YV+7UUkBSPLGlCg+xMCAtwgMUsqopIxyEoApw2IhKhKvKQZZMiiphxn7MWM2Qno4PsUbJF6QOFGjHMD0+wWQFIwaIbfwhus05ShIsyrxmsqrCmWaQZEA+C0eDaQ5zgvCmSV1dTqdkQxlRyQSsVqtp47aAcyZPfsDo5VB9cQC9wGTgUmZn34D9GZQO4BbABuwJOfcpGBcRIXvacolPJ9U5FyD9BM57Ki6PAr0ZVB7t823r2S0bPfdcmzzl3obAVR1HR3dundvydhZlTOv6KybqkgAoi6f0WhwGrkrrr92slOafsl1m2SDnTO5NNpYPnrhzrW/VZUxijT5/d9ZU1EA5wM/pdw0Z9FBo00fhgZN+U7EP09TtVSEZsDGr4CmgagdwJ1AEbBg4M6JwC+Acwbu1AP8Kjnxx6o8mxMSmsxpqqhIMuUB2plEHzOdUdQO4Lvf/a7Vag0EAnV1dTNmzJg3b97o0aNPq4WjYVbbR7zbG7H6SXsy5owHbIko0dj0F39nTUZ5ptS01/qtHj3GSQ8WNsjJFG9QtH7L5oJDa2bXbQAQNtmfnnl9wOKeXfeROxb48oZnREWaUb/llQlLIybbubUfFOWEOJukRFX7EaOcKOobEPfsjvQG1bSLmDObXSLZEwFjxC7ASBE3WnSyV3MsPEgtt6Riozr2T2nYmS24O65lzwX73vbGesc3716263VOUyv8je/VLPDEe8/b9w4DwDRGuEwkJDNL8YJgl8Lxze7STPCnltJoOlSMEjDIWiYAEgAhSYX9oxk3Tjutp/7ppaCgYM+ePdnN3t7egtNhrDezlOrxmdtczSB1YEagCHi1Zv7Yhi2ylFABH3DA5k0a7ZN76uOAD2DArrJxU5v3MKAFCANSfrXH32RSUiVACFB5scNe4A00J4EyQAPanIUTgh1hwA6EAWpxO1W5ORlxZ6aFF/Or/jDnZvLCfQC+rkhNyx64+dUfAZDMVqPZMKvYcM2u/W2ByJqYQRQhmo0skQjkFXW5i74SaF8IlPf2v3eF8vV5Q5s9Jd8yWBOatpoQRzLsiQZ8kW5fpEcf7E8CDwLFmVNkTugzO8Mme1Iwpnjxy5S/gDGVkB2aKqgSr6nZLDvdbShzwvOqbKJ0A+EMckpQZUFTCNOCJqcG2hin/4faTyCKhns2K5H3Djgigc4LlsUV4ooGsr9eu/W5bPBVFBwhhPHph3l17erivjQ/gS/ql1XtvTaQpqaSDe+a7vjKlDzCn9nJ9XOQT7/ku1yukSNHrl279sorrwSwZs2aq6+++rRaWGJpWR3NA8WLky7P7NM92CydvJmewjI4NcMG0594imy24qDA8dzrMBA9p43p0dIK5RWOgz5ZEkLBNGQzQBkAE0+cAgQO8wuo14a2sHwgnPYMaAxJFVGZAYgnmKYQIzWqjPktbr/Fk+lhmtd9YIx7NiUx23+GbPmf/ih7ZHqRvZecR5F9MsjZBHaUTwBg4mix5cx+cTNnzvz+97+fTCaNRmNTU1N7e/ukSZNOflpWVLnGTrYkybbyyc9PXt6f5qczgaQfVyYLMzfvsJ/cM/fRZfaQnIdMWM53ggEPnBC9aCohDCBazjUISJ4RPINdRLGFCBRHEgZJZSaBDvE4ogoLBQ0OA3EBDdE0dKzPqzjmHZrz4bB0YiLJdFjT12N2vHvJZpqynJ3I+Rhycy7RfwnSf3B9XgUBqhyn8fg/nVRWVh4+fFj//9ChQ5WVlad3eqrxA8KgcXX5w6qZdjnTjvHGsMkWsHoiRodsND8qGBmhVNNEJeUi3F85XiM0KRiTYtrCxYO9AOipp6ImG6W4qCmCIhnk1HNKypaKWBNRezJSwdRC3rjK4mnwlXdbffrrL8mvbNv/bmn9VgDnH3z/UOHwcpPjW4oEQOaEhM1lMBuGOciKiSXqhPsf3K0SwG03egyIcrZjleO/VrsdADLEFPVl4/lR523gjXrqsJ6YJgKbgK2aWhDqLOlrLQh3VyfCIzSljjeETI6A1d1ndkUNFoXjzbzhzwRgLCmYspMaGHmP4F0QQliKN7D+WQMAWw+6Hung+IjRCkBlyDed2WGuKMrKlSvff/99nudHjBhx6aWXPvPMMz//+c9PvYV2xbS+VtvSiQWdsKX6rt/8t7JAM4BDhcOfn3x5cbBj+Y6XnfGgRunzk5YfKah2xoNf2vxXdywgc8IHw+dvrpwGhgWH1sw+mrZ82xPhK7a//OScGzXQy3a9pntdREW6dNdrDXnlFT2NWY1OlyE9jSPaD+XSjABwh3vqY2krcspoBoFTRFQlisYYQ9jsBJoA5IW6igPpKBGF4/Xl/6K9b41r2ZPb2sKD75b2tV2281X90nNqP7r7/UfCJrsnGpjWsNWajDV6hmytmAyGaQ3bzj/4np5F0+EoeHPMBW3uEjACpomKXNbX6on6eVVKCqag2dFncYWMDj0dy59kv6/jxrdpcwspf4aDJqZOnfrjH/9YD45qb29vbm6eMGHCqZ9ONHmIla6rmb1nzOIl+95WKffB8PnByhkBq+vyHa8ACJkcWyddHrC4x6z6pW4K3Vk24cO5N8566+elgdZKIGqwfuWSH1y285XlO14CUAI8M/WqVaMW/vWJdEaNSrkbbn1mzS8WmvRlGnh3yMSCcOeY1v3ZbnQVVDeWjde5v1yxvvGxtKIVM1q9NnF2AWfmHet6hKQGMwebWSRKMq6Q9fOvWvTeM+XhdFR9QjRtHjp1W/nk+dWeoQAAIABJREFUhGjKLE9oya44AK/JBaGu/HCXPRnhNPWwYAiY3Z2O/D6Lm/WvQWkksxdIAxUygClBf2yZfzJDngBpSxzK7f8XJ3M8icdhNgNYsVZ+owWL/WFvb9vqVohUuzUnL6Iw1Mmp2QJMfIGRqVwa7hZ31mcPc0b8iqr9zwFMPXAscqz31R3qiiruS8MIACQS4Pl/zVJNn8lWd999991zzz3RaHTv3r319fXXX3/9aZ1eJUbKbFxzSE1jNYCAsixMB0uTdbAsfiVgLI3V0zQser5ZPxFf+uRc1pF+lgkiCWK/UV6nVWQ5jO/pM5lIIHIw8eAoA3TKdiQUKBrjCDHy4ACOkva4nhWX7mwGw2X+5qSKZwC33qUclMly89VyzC1pYMfAaLbZbBaezqXHgSmsP4eVJ7h3NM50fsWkSZMmT5581VVXXXnllY899thNN93k9X4SI9rx5b2LDY4/SjlIVEfTBP26jv7uWPotD/gGchSa9PPJedS5eDeLfLLwPeuVJel20+U0CQgIITBwEGh/eSOJNyRVFkwRhTETB5dV9BhIQmH9mBvZPgNIf0np7usXpANZQcnANET9Y851opCMjtGvZoAQxqDzkzFCGKEkHWTEGECsAvvR5DM+raxYseL++++/9dZbLRbLo48+umLFipOfkyNWOVxkpq1R9vcpV1b21Pe7xbIqDbLvayCDKhtggNQVeIkXJM6eGRBINzVw2UsrUZl3vWb4OSM7DtsTYWsyOq1he4srbSDrtXk1QlRByDdRniCisJAMShGlIiVwiqR+/JyytlpTLAwgLppXjV60r3hUzovLGemMqRzf5ipucxVlepJjX+jXRfv71q+0I/O1ADmn6E8DOboddDDnMGhzCs7sOO/q6opEIiNHjtQ3R4wYsXnz5lM/nTG2IWRZG1Ia40yo2zKy/fBLgeZzgFXA+R2H2zeuvDXWuy4Z9QNzNK1u+4tDxi4pPPzBn1OxrwMtqrz9wLtTY32yo6Dt6IaVwHVABHgMuCTUOa32w6djwY6+tmLg7wADrlEksXbDRn/zpYAIHBbNL0nxm4HivtbKY1t/BlwJ5BPyP4xdAgS66rcmInEgAvypfj/f2VTqLfK1rt+0bbdl0V1xlxdNOAT41z1h6esA8AJw0F36QE9DJ9D+0dNWfzOANcBe4GtAb/Pehu56MPY3AIBVlft2vKKOu7j7oz/my6kyYG/HIa7z8Pm2PFfDtv8Gvgq4gMJQp2nDnw2esmneitJAS0VvY5umPgvcDGTt243AM5S7keMLNG1V86JvjLj49uHsthFnNgh3xowZNTU1N95447XXXvvwww9fe+21p2VxB7BqoVD0d/mHSx+IGG29Nm+zu+yVCZdMb9jCaao9EdlePvHZmdf7za4RHYfm1n54uHD4rxbe/dqEpQWhrvvf+jlh7NmZ1z035YoDRSMWHXjHloz0WVw/uvh7jZ4hv37u3vxwF4APq2avr5q7rWLy1IZt+hV/e95d5xxelwvcDxaN6Hblh412RyJEmTajfou+X7bYTJZ0/ldSJbKGvhQCTHSDWXgQp239hTdxB/dbk5Fum+9IQbVM+fQAJ1morYFQaBoIVSjf6ipudZWkj8nSnWVHbq6tTV8s0gpA/7SWYanSXU6EEE3T5zRGwGDh8MD4syrs+gsRWUP4N79PLF7iGlWzuk2VVFrddkCUpZiMOIE31g/cTYkozVjci+1CrUSihHcBAHLTV3hVPtoaSVrt8b4Y9fc2dkX+IFnPL+KP+CXrIw8nrrp2+uSKM60zfwr5TMB9xYoVbrf7zTffdLlcmzdvttlOm6zswOXCnNfBgTAwgcOCYtoYVg+FoJPmmQQywkl3+zWdxZwnGGInbTGWVHW+JiJwzMKRqJIG8yJhCVX/BQNt9llAkKWD1BdXluX6TuN4AoEStxFmHkaOhCR4jbALiClIqQxAgrGIgnIraYgwlfVrDyqymBvpdR1ZBSOtJwxEnzmQjQEgPCUA1Az0dJuIrCEip6FfoYXM8pE1HSwigxJWaCbLyujuANvcA0WFS8RD0+g9o76Icf7qq68+9thja9euveGGG2655ZbTPd1C8dZFws/+zKieWGYgy4fQlfVqTAYIKFBkYjIjPUlojBECI0+HWFEXYhojDKCEmDmAsKTCGAil4IBkrgEjjeJyFSQtsz/9a7+CoB9KmJEjLhEaYOJJRxyFZjjthpYYGGOMoScJl4GnPO2JqkDGck/6ebsBpEk/ByDx7Gb6qyMETCeqJ+lJ3MgxSYVupCEgQ21aU5QoDAAo2NxCGlNxsI9JGkSK8W46I5++2KC2xUGAGiv7xUWC58xX67j88ss3bdqkG9qXLl161113nW4Lu5fxFX+X0oYoApESE4eQjCxMN/AkpfR7G/TixBrrV3h15mQ9/DdDspqD17M0rzlW1/SgJlTihLU1cy/Z/QaAmUc3bqmYoh/Q5/DZBLhtBgvHNAYTRwhYY4RJilgugRLmsVvXLL9LPlqPePxQ4QiZz3nWBDqZbC5NZ9qoNlhY2qGUUduyvJJ6M5RATU8LhACFZtKTZHq4CEdR7aBBSeuI6USmcArs5XOFM62fB4NBQojZnE6NtNvtgUDgxKfkSigUWrturzxxBIKtq/a/swkIAVcALwAbgX/4Gy8Cvg60AncDv2LaX/f84xfA+8AS4C/AT4E/N26/AfAAKWBKQfVzovkHzbubgeuObl6pKSngBeA2Qhhj1wDvNu1cJSe/BEwGfu3I/0NPgwtYGvULu9/4HhAGauy+74S6moG2zqMf1G/bAtQCf9q38fx3nvnKV7/2w8d/cGDbhktnLk65PAB+B2zf9tIOkFLgTqDP3/ID4GXg6a664cD9wLcpt0VTLwUeTEW3paJfA24HAOQBDYGWb21/8UE5ZQHuA+4ApN7G7/U2fhP4JVBgsK5QUoIq384Y39vUl4nKWAl8D3ADd2Qe4DPAA5papKm3AIIq7Qloz9Rqi/NTQ9xnNln1jTfeeOihh5566qkFCxbcc889p3u6z4xn55BH22ltUQ0Y9o2f9/iKmq+86S73N/OK3OEswqhRJpk8N/XKfcWjCSGHqqfOLcBLUy8TZJlAe3fMQocRXZUj/3fB7WMb92yvnNKbX8pU8qdZK+57+xcq5X99/t0g+MO8W3XgHjFaV408f3/RiLvf/U26nppgXD1yYcho91vdjkQIwNiWvXrfFJs9z8Lv9WvjPdRnZGt6mMYQ5ow0BRNHHAbUa4be8skay+F9ZTSjPxPo1fMA6FkLg+0LNEM62z8biJQperF2xgBWZCVdcSha2sk/OQ8pldSGmALwhI1ykdn5/HMNWm8CjLBSM1t5gVD0b1+34bjS0QGOgyntbpX3H5JXrTJ9425CyLEwu+fd4Pk7g9tTzd2dlUmF/vSFb9+76uE+i+vpGdc1eivs4f5pypqM8Era4l6fEpK0P1QmPzkgh8ES6u0W7cvfe+LCPW/N3vfBwh9vvH0DjbZ2X9SUWvdOeypQ8sICwSIAq1cjkcCyZenTUik0NaG6+qRZmmdCPmt07EUXXXTRRRd96tMtPDZfxGLbmMo4pwE8wRQvF5bQEGUGigo7ESkmeOn+AFMZhtlJtYPEFGztVjuTxMZjmo9LqdjRq/lTIARFJkLBNnajX6lNr98DQxGQC65yjF46aOBQaEJKhUARV9AQYS6eeAwISIjLUDWYeMQUllJ1RZkBhOm1GUlO0+lomaxxETxhac8CIWBMoGSCh+zyp63mNgE3V5OmKHb4maqRKgfmFFACdCdYn4RiM7EKAFDjJEkVIoVAAWBOAZlTAAYkRymmLwS1A7Barffff/9naWFhIZkyR1JDVKDQq8TdO4ZribIOai5iiWILFA2H+lhTDGaOTPISpwEtUbazl8U0UmohU7xkfx+rC7GYAgPFOA+3ukWNq1kAzQgQM5jNUhzQZ1c6MIglravpk7KODN0GGHkARGMISiypEqtZKLeS7gTrSDAK2HgSgEHRdErgrDslG7ZEkC6+BZaZuyljlBIlrXmBAHkmwlPWGddnegyzs+UV3Oo2tT0OI0fn5pMhNqoyNEYYR1Bi1SPtyIIiyBpMfDqke0UVB4ABX5svW9xfxJRBCPnVr37185//XNO0Txdz6TaSxmvFNU2MycRnIlO8xMhhbYe2N8BAUGkl5xbT7T3Y5VdljVgEMq+Qmih7u5WFJFDAayITvWRbjxaWCAAjR0yc1hLLjGKgHz2n97AMlCe9Vm9euHtP8ZjZdRvdsYBJSszL8MolCorNHOEMYmMMq1q1yW64RdIch8SJCQUgcAikW+J686sSil4XCYQhaHbomCCNwjWSS2hJkDEcZPaYKJKaXhYKBCgwwWMkR8NM0RhHMc1HxpXZ3z4U6UlqFh7nFXEVdnQmcCSoyQwjnVyRGQDnT+FYmDGb9oMrOKfpjNt/vF4vYywSiehJyX19ffmDKn2eUJxO56y5561NCiPlxEOEGpgmAXZf5Xnx0MXR3huAxcCrwHsVU65p2zddSl4MTAUOErpzyhUXN+0c11Wn5zmsArotrpcnLFMo92RP40WJoE9TXgEmATIn3Drhkst2vgpN/V85uQuYBCQF49DRi55f8/sLAS7qX87UJcA5wLvDZr6445XZQAcn5E9eOnf7a9OAtsXXzL777rFe/pb//uPa3XViYVWPowDA94GSguolnbUAnrbl/deie8iL37kByAMWAQC+XVDVLiXLehufAZqAQuCvNq9K6JBwdxCYHOmeCCwCmt2lqwItunvsfqDIVdIy49r/kZOX7P7Huz0N2VfIgMvt+cRgqbbl7ZGTjnjQFQ/elYqM1LQLAQCiKgO0LgqJP+M6utvtfuihhz5LC9dU8edcX5TSHMTt+u4dUzmO1t+W/6FnPnv/A+3Kcx6dJyRVrCw5z/3kkWRB8d+vLxvvxtujxjZ3f8T5A9POG7dyjvhsndrVsqDBYuwdM/On04zf25p6fP7tjmQ4KZjeGbWAAM9Ov+Z7bzw4xN/051k3qJQ2ucuP5g+r7qwF8GHV7DZnYZ9o81s8Q3saAKRXAUB2uiUVtSEEUsxrYMUW0ptgYWpwADxlEYnI/UFVg6LVAIKUYDJKWQMRIYRQwlQNmRobzCEQnsKfYgAjjJVZyVWV3FstWmccAsWsAm6kkyQUHAoxjqDGQXUOk7iKOGdwspQeVP2VGqoBmoa7FyiW0xhw/2ISiSDXhtvdDZ5HthBvby+OHcO0TOpGIIBnnsHVV6OgAEBSRftTL0h5PsvyJQYNi96SrWvrpx4N/MXY/q0FhT/ZJRuauidLLNEdWNOuMpDl214C4Ir1vfnbZRO/v9UZ6c1e1paKchnywDg4DYwX03CX9g0A7t6Yf8b+tRfueQvAmJa9ZY37V2NiTZs/LGvo6l7bSe78SIlrqHr+iCjLdU7l97N4A5A4ckx67XXccYe9JPOqHn8ckyZhaoappKEBySRG9BccSFeDzkowCLsdp1+0FJ8duH8uYhcIl9N5u4hxOYik2EyKc+jJLTzOKRoAUvNNNKZAoLDwAKhFUD/shMyYSSALi+jrTZqSWcXTHqnsgp+2mvZ77QnAATIjksYSKuP0uHYVeUZiFdAWY5RApCQsZ9TqAciNpc1iAAFxGJBSiaSCECbyZHEJF5O1rT1Iqcwm4MJSWmolC4rQnWRmnrgMIMAYN8a4B9yaz0R8OaWVOKLf4wD5J6h7n1lEDhbjgD2lVlJano/GRgACxVgPGeshA3619m9O9pIRTqLDWQPFKBf/l1q1LcEY4DORSjv9i+od0tuk602UgLFMQV2SiTnSTSnIalKEMRJXmEiJPwmHyPwwzMwnR4LMxBGzQIwcAjAQEqdgaYcK0TLVv9LFNiiBw0CictoV4zLSayrJu21aSwxgpMSsXVLOGTmEJQQl5rYbrZoEYEnpgDfOEVTaB7xSkR6Ht/uLf+kcx51WNZZB4hLJhcWakVEYDEilAMwvpPNLuCzP95wCzMjnFJvDGNVhMbltOInI4AjMPChBvpFrjzOVocxCCsz0T7VKc5TqkN3EIaVB4nheUXKwOwB02fPzwj0ax7034twrt78IQDenSbzBXzXawEHhRVWDP8k2dbMKG0SRdAVEiwATBw1QGWg6mC5t1O+y5zviId2ZRgCOAkxLO9wI7ALxmVAfSVfkcoq4qYY7GmY7/UzTMCpPmOpWdVQQV9JV3lDqu06OpkvAAgAKTCjQ0Xkm3sZjgCePSBZwX0g59Ly8PK/Xu3v37rlz5wLYvXv38OGnR8Q1zdS7Nu67YcMzS5gG4Ghe5QuTLuc11fjRU5fH+lTKhYbNitXMXVNQdfXW53lVqaB054RltflVdfnDzjm8jjXtZFLcWjj8/fEXp3iRAtyEpb5NzxDGdHvXumEzbIUjrEW1aN1XlmHMPOobFnKXXCwYjXIScrI82KmXWt03ZOLPdrwCwB3vm2vP4wAzcNXcOaOqnAe74+3WymGzhgFQCwoB+ID/7G3U1VN33tCWqVcH3v6lOxa4InNr0dIJxGRna/93ONLsZOrQ6SnBOG57mv7nCmBf8eiXJy4b37JnXu2H3by4q3R8pGIKITTEG56dfm1JX1tV19ENTA1Y3MfyKkNmBxj7CMhxGEJUUr8mHGXapmHTAGgMJWe4RsfnJRaPveCer8BiySKSOZfNxoxKFBcDEChun5UH4UKMHAkrAFxQzuOuxejtxUwfgG+M5VoLZgtPHhTvmOt2kRurjDNfKzlUPKrDXlDmNswrIE/Wid++7Cdj2g78auHdlDAG9uCF9//mb/d0OvI3V0yNipaoydZrGxzAGbC4ghJriEBhEFQyO5/UhpjTYfT2EYGiIw5KCLhMJGI6uo2lBznQ4ywaHWyIKdAYCGF2gVxZyb3TonXGGQh8Rra8grMI6EzAn2LFZuIUAeCy8gETt4nHRM+Al2jmYC4v1Fc9XShAKU6Dqe1fRLL82ps24b33cMcd8HoBsGBI+t3/qqPHmJYvI0BKRd8Lb5CWVu+oMZzVLKls03v75AN9kbf2z702f2eP9vXV/uu29yb46LMWwWWS9gZwS2+LxmDp7bhtk49oeOGF+yY17VxfPfeVCUt5TS7J5JgO7zg8p36jOyc51ZKIZk3hgijsD6JdFnT6FG0gcPeE/d97/SfZzSHdDduKx5+7/70VG1fesOEviwpr/qINMyjSt/x+yrRVB0IXx+z3jWLb3m4qbmAHnq+ddInnsgr+m6+3DXu/PbiHFdomfWUEJ6msY/UG7ehR27e+4fXZAODoUfzlL1i2DOPHA1BVLfXMX6koGG+7BYRAVU8Lwf9LAPfPKAKFM2c9m+ph0/MozTyFoQ7u70dVfwomHotLuHfatECCaQTpQhp6iExG9FhTjSGlQdXQnWBxheQbYDdApDDyhDGogMghpWqSRgAiczyvyjwhGiOEpvECR8iiYmITUR8BT8hwpz6S6TQfNECRJFHkAIgcSs5wOulZI7pSnjOFnVhyFRiO4JoKtZ/qxGIRzM4da5okDYVmMj2PvtioymraCaLPxP2eF5K21aZUJmlIqSypIqmCGESOwC4QtxEKYyoIRCEqQ9X6o604mo18YgBsAm6e5Tt2rLc3BY+RDXcQgeKKCqofLUuKyAGAXYRdJBhSfPLqiek+5sY5n/1SVNR/48XFaGnJ3h1PwJcV46AO3EFJ2iEDpxPBYKEZufXFvlzF+eNKfZx3iqhykEN9eDzodYe6OaYZONh40ptkjKDbnqZiO1w04qhvWJYfcF/FhCAxQGJBiMkk4goqrXALqLQR5jK7DASAqjGNQWJ67Fs6s7nH4RveVZtx2MBnxDC3sD9u4BOxPBM5r5A6DehJsJY47DwrsxCRx1g3GatbIkqL0NICgOR+wD4f6vuTpQaIx4Pe3uP/dCaFUnrLLbc88MADK1eu3LNnz9tvv326hth5lu5HQqPuv/zBUn+rUUnuLRnLCKKc+OScG6s76xryykMmBxiOeSt/ufAeWyoaF01xwQyAEfrBiPkfjDgnkxmSHqtNntLnJl952a5XREXaPHTa2pq5YGxj5fQxrfuy38SRgqo+k7PdWahbW8t7G/X9x/Iqwya7PREWVLmsJx2gInqcALoTUDUwQNIQL0gnPwiKpP9Tn1cRsLpq86umZ0KlGfDahEv2loyZW7t+ZPshAIcLal6ZsKzZUzrj2OaSvlYAEaPtrTGLAewuG7+7bHxOJkNax291lba6SjL+upyAMAZAz6vUJE4Egb5AE2C2j5jOorV6UNAspTpq75epA/mTq6tRVaX/S4BSnwV33Qy7GYBVwIZFKVvlbK2gkBaKAKrd6ot9kwqTwfIy172juVs/Ut8ae0FFTwMAAhazWBlBi7t0UI96LZ6uBIspCEiYbNMECodATBaTQACAJyymoMvizQt3AyCM6ZZEpufBEZLy+W7KbzwcQm+CuQ1knJsaeXypisqEI4xpUlIUgLTKfZoLekEBmprO9hme1tVhypSDncmdf1qbDMvq795Zeu+1AHvw0S1FeyRt/+5NbO43Zrl/9EHP+e/Ug7Gtv96x/JqZD+1W5rx5sCCo+d8/cJs4W2GkprFO0SCkklpH515nYWGo+4aNzzJGFI7fXTJmTt3GZbteA3Dd5pVRg/kXi+/lNSXbh2E99ZZMlVwApmRUSfO2o1vlm6NEoukhZI8GczvvC3YW5tAKV/Q0Xrh/9a+e+5aOD+9+55GvfumxUS37ptRvsyfCBwuGv2Rafl0f/XJtI42zyOFj3ymcfvtGZeL+I16ZoKPzu+/2vt/uOtQUumLVEcaw/pEd86+cfXUF98bv1vEtWrj9I/PXRi8fyj2+cnvhh+1GgYolB6+6cBSprcWoUaf+wM+SyYDrt8ydrlg43FzTb82ihFvdooVkgEGgRGUsqSKbWaKPnrjCIlIa28UUZuUw3IWOOBQNEZmJHASKuEoBqBx3qGjkuJa9HIFdRFKFxohAMdaNGicBUPSxoMR/vTyHfw2xWAZP959arNY55ZY5PemXzoBJXro3oEkqIYQZOBZXiMoYCLrtPl+4W2VwG1hfKu0tJUBCxRCLWGhFIAl9us83Mk0wyOkcJEIASoiRYwKF/v1YeSwpo6bqYaP79PyY/un7+BN58SkD9/LyUz3yrJCSkv7b8XoRiSBr/yAEhYXZKvf9UlGBXbsG7wQcIqZm9N6RLjw82dHdIgmhoNeIuhB7rVlLqaTbnk8JI4DG2CsTlp57ZM2wrmMxg2Vj1cxhIulJsKOKqcevmXikVHxlGKuLQzNbUiqTNdgEyAyymvbOAIQjCLnzBQqNMYAYOHZ+MVdeXTAfYO3JbJnDPBPJM0FVB0Y/chzy8/HxojYuFwQBsnycZzVkyD8FuAN44IEHvvnNb86cOdPr9a5cubK8vPy0TifAmwv5i96RjhTWgLGkwbz1khtbQ6mr3v/z7tLxAKsrqN48afHE3R+Mat2f4g2EwERZSqNahjqJEkYJYXrxeRAKdqSg6rcL7jTJyV6LByDraubVdB056humM7i3ukoO51f3mZ0N3goduGdX8VZ3cbctz54IA6jqrtN3MocDgNugRWTWnYAG2Gwlg+7iUOGIpMF0sGhkFrgf81Ue9VXV+yreGnsBr6lx0fzWmMVvjV0cNtt/d87t41r2Fgfb9haPSQqmTNZ1JmZapyDSAEo4wqBBzcR38QTlVtYUgwoGECOHcwq5zd0sIAEABzLRTZ5bcJas1J9aBgUK2wcWrhg3LmuJu3c0d+/IGuxOYKIoa1jbyV5tcHAcodBEQlNGOzQcKahmOakksiB2CI6OGAhh3Qm2OI+YzQgk4ScGq8QsPCiBpLJOR4Ev3I303A5KmKwSRqDabF+dZLPtI1O8GDSdCzYLRFFqH8A6enpis8FsRix28iPPjDz++OMPPvhgNBpdtmzZ448/bjQaT37Ox4QeO7bFNeynf9g6pSvOAOw4vPD3Rztsvhv37lIVRUgmtI0bFoUXzzqyR5OV4lDH8H0bbyme6ogGJjTuGNZ9TKH862OXNHmHfGP1r889tMYoJ93xwNevevjh5+6dVbcRwOyjG9ZWz5vSsD17xYv2vpnDRggAY9v2524K/aXo0aXwCoPKpeM8c5NTAYxo259LP1XR01AYas/mLE5t3E5V9eX/uVJXy0e3H3hp0rKhzfvuXvWwqMidzoLXRl0QNbtXbHp2bOu+NmfRxMYdL1jOX7R/a1GgLWRyjGzc8+NtU156v2XZsSaAoavriVcPPVA09Lb31vglCol1P7dmo3nIo827/x2B+8SJ2LnzU2P3fhHFSpd2lai0xpiiodRKXmlUuxL9RDa6JSyppi3uIBApS6qwi8QsIKwwPrM4C5SpGmKi6VDpmAlte0Ewr4AUWUgwxfKMsIufzY4+ZAj6+hAOf6ZGzi4xmWC1nvywkSPR0oIMrfjxxWqFuV9hIsB5xaTKTruTsPHEY8RTR1QVpMue32dx5oe7KWFGjqqMJRV9YQUlCFHD/DxqE1hnUgulQAioUeQpUzWd1AeUgCO4dTjXm4SmocgCIT8PTucJ+jVABpmgTiDjxv1bAffcag8WC/Lz+4G7ydQfCpkrJSXYu/fjw18bMgQ5S6ZgsxQXK5CCAKqd5ELG7fSz/Ir86sOEAbVBFjeY3xi7BAAYM3AAQ0JFgBpjMiQVTRFWbmX5dtIbNSqMGDkwQCE0ZLE5YkFkPozSIXnjmzh/VLUImJZHC81AcTHp6zt5hpLZfPy7s1hgsSAYPM5PZWXIKZvwRYrRaHz00UcfffTRT93CucV0/6W0dQtLaLzhussenFegaPiN5QLzqn8YRH707Rc8NtL7wOhL1WcCXn+73WVZcvmM1tc/+KiX7vVVj+o4PMLJWQW2L4C4CpUXDk1bWLntvViMxAzpWWJ7+cSA1fXKxGVjW/f12Dz1nqEgCFpchwqHLzj0QW5PWp0lPba8Yd3HABT0pBWnnbIj2MNKDDBcMKrvAAAgAElEQVRwlBCmaqh1lQ+6hV1lE5hGdgyZsHTXa55YoNFb/uLky/1WjwL+iG/436ZYQNDkGeK3+jSibR46zSCnDhdU64tIXIHECYIqEWBeIa2PojvONAaLgCsqOErwbpsWlVFkxsISauDQHkNbXDNypNpBjBwmFwqBmNKZYFdNkKsv/dfnlT7DMiiKgFJMnAhAoHhkOn9BKTXssnlTEV+e/QEKaKTDUdjhKCgKduiHt+dXBCH6JfAEHEVYYudVUKeIj+wmp0gIgaAynqLHnqenyVACjrCbqrn2OGOElI5wWyus2He8jplMcLnwScDdZoPPh2PHjv+rLmYzHI5/FnDfvn37d7/73bVr15aXly9duvS///u/f/jDH55WCyEJB/s0rRfv/+zP03p7xzXvGd+6p81V3GX3AZh5bOPCA+8Z5WRZoLXdXnjruieX7Hvbngh3233v1Zxz84anbl3/R72dH732oz/Ovfny7S/pn/pt65741uU/PefwmuyFLtz7VnmgObtZFOwY3X4gtyejWwcAdwBcJjk1wsSgBDVTO5JTldzDRrQMeLUVvY1azmw+ov3QqI5DOmoH4IwHJzbufuAfPykNtALID3d9//UfvTjpshs3PE0Ym4wdNZ2159276v63fj6vdr1KuR1DJnba84tCHbete8IV69tUOZ0wNHiGzDi6aW7dRy2ukjXD5zX/6Y/tRaHTqIJ0dgB3jsOsWTh0CNHoyQ8+sXi9mD/f89e/egzpFzPURvwpaJqezgaeEgePjiRLaQQMPIXKiKwxACkVRgoTh7gCgTK3AX1gYZOpp6hcNZrsSnyYg5o4ZFv+TLJgAQ4exOlQsJ31YrGcEnBfuhTPP38S4K7bMHKEAhU2UpEx6NsNNJhibe5STpM5wkRKZI2FpTRxAAGRNUiCAUBIZoUmSBoSMvPaDeAhaURlAAHHUGQmJg6l2dz/4uJB1/1EsVpPFeIXFuJ0Slz9q4soDihNZ7WCUmRI4mGxwHE8Xvr8fJjNg196cbFWVTVgyRyorY12kZFFlmWXOm1HuP0B7VgYKsuErRJi4VlYZimVdRGzIsPEI6VRAq3ARIodnMdjjofiANOKS6QIExJBPTaGI2x8qWVxjR2hUP91i4owqH4wIaiuHuw60Nf4j8sJgHth4Sca488GKTFjSLHIXX89KioACBT33jgVUy3gedR4AfxmpihVXsH/6Y906hScOy/PLo7q7g1V1NheqDVyUEeMckVIYvf+5MjhK26c5nLX/fa12pgCgPlt3nyPoSfpTQimLUOnAOkYkz6za2/p2Nw+qJTrcBT0ZIKeqZZW/1SnsynKehg3JQ/5ZrLHrwlF+SovZBd7AFuqpoGyNlfxE3NvyY90tzqLGaV9dreRZx3eotJgCxgOloyZV0I6o3Rn5dSZ9ZtNaio1/9x76IFNh3qeq5o/7cC6BR650GebV1bGDh5UGbIY/PphA8BosQXFlpw9Xq9b6XQbSMJ8VmYxfWFi4rFsCMVYLxqjrMRZbKUtERY3Wo7mD8sC9/3FoyNElBQQAUkFMiMAYopW4DYKlCkMLgMsPEnmFYgUAONA8k00HdMIwOP4xIndbMYJCJGLi7FkCX71qxPdgNkMu/0Tof8Zlqeeeurqq68eO3YsgPvvv/+WW245LeCucuLLTWx9u+Zopu5A4JLd/xjbug9AaaC11VmsUrps1+v6kecfeLfRM+Tyna/oFRh84e6vv//bOXX99YkXHPrAJMezn7qoSHesfcIX6ckeMK/2I2+03/1IGFu0/53czoxsGQzc+/tJuVJzP4/7IBkzEPEP6z7Kaf1GIpOcvG7z33IPWLb79ZnH+rHZ4v3v5IV7s+6dmq7a/3znkekNWwBwmjq1YdtV2573xAIFoU4A84+scyRCHww/Z8m+t0VF8kT91V11j51zx2uKbXgH5hThFCPizgbg7vHA6YTJ9DkAd5MJVVW5gTez8umRkBaTARBKIFKAIK5AYSCAykBIPzl6dxJJlakMKiN2gSka8VvMHhOFwzGRJEyfI62L2XyqEPDfRszmkwN3joMonvzJDLS4f1xm+vB+O+nJL8sPdRo4YhPQk0BKZZpO1UcZD2I2CAAiMjkUZDGFaQwRarSLJKVBVsHADByZP4hOu6goS2J1EnG7T/X9VlScaptnhTgcA96y1Tpg02I5jj5DCHw+mEyDgDubMAGDyqKbzRhY0pVazHYjB6tluBZ9v12nkQUIeMLsIulNsrDG9zKDUQUBZI3xFBpDZ5yp1GxGHCDJIUP5xk5rH1MZAGLgyFVjLThiGwDci4vR1TWgJ1OnYtiwwcDdbP5E4H5iWNDRcfxfzwbRli3jKioG7BroERbzvbjpxvRHPmOGyFheIgGegDGuatjIcePwSDPmDIcJKCu+e+Th7hRXb/AWj6z47dWWFasJ+TBNzeo2alGZBE3OjZUzctvvcBTInNBtG1zJvBZ2FmDDTMxkRKWNBFMUMKTMNnOGUS5gcfvNLgrW68qXBUOru5QBCYNZEowrhtE8YYivdUu3t/ichaN+MJ0XKDb3cqG880cd/Kj8P+YhMXX2ypWzvzwNr3XiwAEUFmL6dHLw4GlYzvPz0dl58sP+T3RxudDYSFzOO2vIT3czxWJtKqjCkQ8ByLx4yFcVhBhSYAUzEWLhCYCITGqTxhEqYQwChU1kfEG+hWcAETjMy7WWOByfOAmbTMjL+8RemUwnn+dNpuNbK74QOXLkyPLly/X/x4wZ09raGovFLJZT5aGMGPJeaFA3dWjnxsiMjiNjcoJVzj28Nmbov3dPLHDprlfFTPYIgHm1H5YG+uMGi4Ltc2s/ym38/rd/mbs5tnWvUR5gH5l3ZH3upit2fMpajePNIreoOJVvP35qvzcyIByxLNCSC9wBfHnD07mbN2x8JkMsBgAVvY3WZD80JYwt3/6yIaerUxp35EX7NZCxrfv0mvH6plmKT2/Y+q7pvIc3aNcPU789gfs4AcnH5WwA7vqn/7kAWbMZhOTqAGYeX6qiH3awQIpZBSJS1pdilBA961ADBMJ05iZFQ0xmsbSPhRl5zM5HYZnFNJQuH2mpCXyusev/fwL3k8a4m0zp13diORlwn+ChZp7tHlGcVx8e7UdEhj+pV/ghOniH0WgWACAmoynK9Nj3Ns0wy4xSC+lOwsCRUc40R2e/5OWBP7UB5XafKhw/2b2cZeJwwGCAKEKSAMBqRe4iodueeR5KjivT5Tq+tuZwDLZz66N70B4ANpsQjS4pJe+2sYQKCthFYuLRmyQxwaRoSDCYeYh8mk+yLQaVWFypHgL0FZcPS4ZdPSSpwcyTqWWWMgc/QNmgFHl5g9/mcRWzE1vcPy76p56Xd1YDd1ZTc/KDcp0whKRjivx+FBaC4zBjRjpzsaSEAfnXLC0aO1Z3UDyzyBw74OltD1h44jWSfzSzpN3ZYHZHjDZbMq3mra+eA4Ie22B0tSHlcPRpHo6WOtGVYADiCotb7Fng3uIupQAYCXmKeZJOTg5ZvRUO/GgSXzhzhHLZd2A0ZouzzPZRXD4tOrUIlMJiwU03gedRU4MDB1BQgLIyuFwYSGfRL17v4GQG32BN4//kRKIr/C7Xf4zm7CLZ7rcqhUU9hRV5HQ27hs9UOD5hMGkaGIhJJGZeBRBVWKNsKJbSFTZ8DsNtU+zeDw1mVRrjpm5DTuOOE1rcTwDczWZwXJZH6xOPGRTQ/wVKX19ftvyOzv0aCAROHbi/t7chWd01q+vIz175/vCOI7k/uWMB90AkXdNZm7tZ5m/O3SRAfrg7d48vMmDTmhocTWSSE6fSSY3ja8yJGnPKIJ6SbVVQB3s4cw3/AHIzWQFwmloQHmC4KQu0DNxsHnS8nteelVlHN8YN5v+KaX85qkywpy6tMtKTMcycDcBdXxQ/F7ujPvwGGu8dAi4q0wn98HrmCdNMuR6Rg0UAgKgCA0cYIGuMEhgpLDxZUmVZMpFDvQWnUZ/kZEIIjMZ/KzvrqcipWNxPUYU7BbBb4yB/udiFfbbuHvp+m5atn0oAEMYbRd1r3RbTCs0ISkRRmcFqIoQMc5DhnxTkYjafKnDXwegghHqCNrNI92wX3bZktUIv6GOzDdDWLBYQAocD/v4CeOm48I8PB7OZDaKntFgGWdyzwB0dHVUOUmYlfgkiQX2EHQszSphkNANMY8TAwSeCADEFSQ0xg9nBwChtshctKqo/J05lFSIH5FnS/c+9KKWDvzez+bgdhsEAi2VAPKt+7nE/V4MBHAeP5zg//dtLSQmCwTR4nT49HeJcXMwmTGBjx4Lns/EJlqJ8SziNhs8rpldMcK3t5RpLR4yp26rvfHPcEgCD+AElwdBLTMEI2sz4aj49FsG+gNoto6es2tvRqB/TkFdBAY6iy+4b7aHdopOE+uzDPN9cKBaaAXC8+Tg4gGVdRvpUUF0Ng0HnqIbbnQbuhYVwu3EgJ0J32jS8/Xa/B0n3Mv2fnLroKrHTSYAbq+mNqgN9XPeQFS80JQOaSGSkjBZKGQHxiszCUwDtMeZwGEVKNDCeEMViu7ycmmtsx1GuTmBxN5vh9X4iI0wWb5wYuP/zLO4ejyecSaULhUIATqsU+pzJY9a58r717O25qH1P6dhxmbpXABq85SV9bVk0zAjptvnyc5Buu7OoKNgfKRQyOezJMMmh2UnqBK8ZUSifSyZzcjGIi8tNoTiVecPJD84RlXK5pncGyLyY6zSIGSy5PDbdtry8SA/JOb3b5isM9Ztd6jKZ9Lo0eCvsybAn6uc0dfG+1e/8v/auO7CJI+u/2dWutKtiWbIs925jbGNjmxrAQGxKKKEcYEguyaWQkHIJuQTS73Ipl9xBLpdypJBc2l0a+RIIObgQE3pLaIkJ1aEZY3DBRbbVNd8fa+TVqnhlywbD/v5ajVZPs7Mzb37z5s17L03+zQNf1bhUnbJ26BsxTkJoceeGn39RChIjBCQBBAICMImwgkQqEoALsIqAIUFFIRWFSALJiJDWraMSCh9U4IoHx1ADL1dELuG8fNx9gOPNDMOQQCIgAEgCkwi4OP2IVUYwGAAoEilIFKmAGCVi1Eoi8IDxSdd8gtPUYl5xCFetlwM425Kb+KpUQFEdT8dZegTeMv6GmDff9Z4CuRsu/p2chBgGIhjE8SMEYKFZmkQUCRRCegUAgAODE4M2XKWVIyZcE6eRtdEMt4DvqKFgseFdPZ9cnCsRGN25XQKfJi6uWcQc/LjyMHgwGI3ALczc0xjLOsePF95pMEBqKoweDQBMVMTSkYo1E2Rpo/O5L50E+b8B4xACgatMMxvWbMMODG0OLCMgTokG6IkcHTpcPLMxOpG751BCDsWluqOppImjbn981m0ZxH2zc5KDin2lUMDgwe3HVNwde8wYSEzsuIeiYMAAjzGuUFxCK2yfBLfOcbewSgUACgJcFE0gIAGsciWFgJUBS4FBgQGAJIBkFGoawmikpMCu1FCEH52s0bRv9nqDYYCmfY9f6JxvtBvpLt27zsjIKC9vP5pZXl4eHx/PBDPXhJsqMcJPznjWhdoH6Y9Jg77OnVqvajc32ElqXVbJ7qQC908OxGSvyxrn/thGsx8Nu6GN7miib/ImHTFmuD+2ypXLxtzF/9PVAz0yfjYzmmYmUAPKlGwkg9ZVowuyTnYSzoR7RIxYzUUyuIhKXfy32R36ByP0xpg7+Wu2b3MmHIzJcn/cFz+wrP+1+GK3uaDUfT5o9lltjPvn3+aUrMmZ4CTa1/+16ogWmlWKc6frO8Q9hBZ3/wMpTUPQBMi4g2gEUlNILwclhQFASQGBoN6KG6y4yYaVMlBTqEd4VQiftw/Bk2MFuqdTvssR98BhPi6KUlMQzSKKBAIQApCROJwGg47hwgclKqHeAkeacEUzrgOFgQEigFSOuItJgCz+FV9hnYEj1hzxpel2A7mbB3NvX9AH/LUAy2JBIbfpzG9/b54NAFqtNjOFJEBGgINhZSSwJKRqUKKSy8AA0QxckLEWB77AagHAoFcKBQos7uDVJ5VKkMuxwHDC1VYwx3MfAxD3q20BzyEuDq67zke5947WNdfATTfBmDGg0UBKCgBEMsCMGMZ1g58T820qnYIAU5iHHbGJCXNi1OoAJwYAaHFAqwNMNmhTqH4eP/dg9ohN+df9kjMqQoH1ckhXQ78Z10J8POTkQFpa0M9yzTVue3B7iU7n8cajokCh8HjRYvwGJfARFQU6XceqWKUCADUNRgbJCCAQtDEqVgYpGpSjI7hDaykqoh4p6i34ghVbHDgi0j9xVyrbPV68wbIAIFREnt8G0t4MAwRxCRfnt99++2effbZv377GxsYXXnjh9ttvD+rntLOtn5Y4EJv9r1G3Vmlj1gyYuGbAxOrwmNV5k6wyeSOrff+amzdlFH1ROMtKyQGgUhe3bMyC5aNvO61vTyD62eBZT05/5rvsYu6jSaF+aPaS5UUd1fhfzviPh87l/+lL4xdinpLflzDwnNYjfkMj62n6USpdGE63IhvjoWYdlNyi8ChZM8BD56zJve5ERJL7439zJ73Nq9hP8bmLZ/1tf8JA7mMTE3b/3L8/PvNZM80AgJMg3y267f0Rt/w39zouU8O6nJK9ifnvjbjlQGyWkyA3ZozeFz/wcHT/j4b/tl6lP2FIvuem1xQk/CZJFHHvO64yvWJxT1TByRZUb21fkaspIAkkJ8DpwqdboN7KBX0HHYmAS6HSE5Pr1Tlhu4l7ba3fe0Quk9x61mLxew9PpfbXoqpWTJPgwkAToKQAsSxL4hoLbDvvqrZAsw0rZViuZgKdP+YcGziZbW2d1FD8Rk1PbOlcQvCJr3u6UquhpqbjW5/UVtACnPuQ0+nhRMRt2igUYDZ3lHj/lmXTxl9bf/B4vQVaKUYGYGBAr8BpYe0a83QrlhHKOCeYVDoSQawheOLuPkvD7wk+K+Pz5wHuv3oQL8yh4xucNkAI0tM54g4AkJwMc+dCVdXaiYuVFLgwmPUeFvcGVtvqAIrAChkAgIyAw424wYojCIWGoE1Dx5psSKELMyhAL0fPDiJpzgw2fbqoZbkA7jfIEXeEQKv1cJfy7gNKJTBMd7KXXI3Izu4wXatUAIAA+sepq482UwQQSqWORpEKUMmAJfEFK2yvwacc8kFOoAmgaaTQqgH8DDf3jOw9obi/8hm7udOp/FLP9QUFBX/9619nzpxpMplmzJjx6KOPBith6xQq4WPb2pzxVWHRALCj38jy3LGOMuKMNt6FUK0mcuWw0rjzFUl1J+Iazx6K7re2cGq12vifIfMmHfjfOU3khyNuccnIt4rvGXlsu7at8fMhs2s1Ee+MvO25lX9ibGYAeLvo9r0J+VXamNjGswBwXhO5PfWag9H9s8+2H/3fmzCwoPKnDJ6vzpHozKG8qC+gVCIEFIFMtEc7W5XqOpU+8UzHD9fkTrxz8zvuj5szigaf3O0OWPn+NTfvScq/oNRxvvsfDv8tgHPZ2AXL/v17ymlflT+1iVFvTxv+6eA5g0/uPhiTtTpv8nltdHb1wUpdPLjwxsyxP4643qLSOGUyhMFJkkcmzjnusNBfLn/92rsdBGVRhy8ZRCqpK4a4h9zi7l9Uow00FBgZZHFizLnHAMgQ1Fig1gItdrA5wQVQY8FaBbK6QNETk+sVZmQVCe6pAx+LCcBy3JDJ2k0jPvWs4O9YFgCabDiKBYSQE2MA5MRAsiyBYPt5fKwZ6szY6gKTDZXbFL9x+ZXXUSsxxJ17kKvQ4u52OgeeIdx94Y8Eg1cLuO9h2XbiTpLApQ5RKjsl7q74eE24Sttq0uvYbB0wBDAy5HSB2QmrK131ZjA7mSQr/AJh0STGjKcpFHy5yvisHst69ISuWdyvmFff08jMhIR2Mx4olZCRARkZj8zOHKKU/VSHc9Kj+Pc2slqrC3QKpJEBAJhs2GSDGjM0IKbFDgqSuDYGDRoZZkqm+ocjhXu5LvIEiz9wxJ1zD1N6rQYFFneEQKXyCF4kITAGDwb3oReK4o6EVif1jzqzCwDijUqzCjlcQCKQIdh2Hh9rcp2zkiaQyWwODC5GpQHwNbnI5e3v3edIZBgIYHHvdAhzf8cZfS7RIm3+/Pnz58/v8s/DKDg4i155Cph6xKoV0xcW5cbQf6DGUyveB4ytgwZvnU69ezjtdEVWq0bXEh45Y3jMMAP5fyeLXTQFAI3p/R/MIbbQg/5Vcg/pcuzLGRWvwqdB9e9hN5T+uOJAbHZZZjEg+CZv8l2blgPApn5F4HL+L2eCm7jvjx+oa20czatSRawHcXcwSgIgmnHVkR5q1saoKsPj3cS9jWa/73+tCxFcMqaz2phjkelf503hiPt5jXF3ciFGxFuj59/3/bJT+sQPh99IYby+37Wvj72btZs/Gn6jSkbmpBl+Tiusikg4H2ZMSY9ZNZRcdj632VxPEih/xshPJ8g3Fgw2Ld1hdrjYoqFPzo2QEXDEnnNy5wEg8dwpODtCrAtM3yHuvWJxtzkBY3Bh3GoHFwBNACMDDNDmgAsWcLqARMDphuo2nsCecJWhqD4dwjloiHnLYlrbPSOybPsJyAB/xzCAkN2FXRjZMW61AwJQU6DXsA02bHHg480YASgIAIBmgqlug6wAJ1P5lQwMkYYWgmgno1eM2ZV7O9xZPfcpKIGrjIDF+iHfHRdcBHS3k5JK1RGgw+dKgGHqLbhFHR5Ot1BKpdUBQIKcAC0Np1ugug0fbQYjo5QT0KLU7rsA58PYDtsvV9XAFnd/M30Ai7tP4n6VW9yDRVpahzn8YqORGnVJJCqJRmCL5KfSbFZqZQhIAkUqMADUWEBFQYIKMWpGTSMagc2F02I1EBHSEOqcIwd32LpT4g4gEffgIPAUV6nA6axJSJfhHwDwKax0mnE0A3FKosGG2hy4ohkjACxXUK4Wuwvtt6tHg6/hxp9QvBF4kHY6hLmvuEhKgZOTXMaIVcItcweq/u9XGDcOYhkAeHluCiZznZWVsnsKQI4GXkPXyMfgz1ewUweFDZMBQMmDw5uW7HIZjAt+GxUmR6uNOmtFsurMCf21WW8UKVI/tf972A1nw6KPRvdDJAGAXy25b+KBdZTT9reJDwOJ1uWMf2jdy9y/703MN7Z0xJ9plSurDAn86tVTypoGbGSQTO/hktSkUNUaOpIlH4rp3yJXHjckc5naNmSOkZFQNmDCgdjspLpTb46+U0GicDn+fPAcO0nVq/Rmrf79EeT3ZxJayqNsVotqYM7BKbI4JaogBrauWa+5YUTycAoA3r2vEJbtgtRUmBAHAGP762BaARw+DDeO4RzV+00b26/+hMNsxmFBOK73BeLeE1Fl/EBOQqMNn2kFLgKggoTqNpytAQsAl8KaU/wIAYmw04V6ZHJ1V49lrxbFjS62ZGCLu5jWdksQI4ogQC6nCXNVG64xgxO3x+xvdTI5MtTqBJpEDgd2YSAQ2BQsAgz+0qHwqWRgcO4cIKJLu8noFWN25RonNhYQ6vCF4NgwSbZ7wPsk7oIW4I8RDj7fOyfZSyCBkEMXcf7A6Qq7ot4CchlUtmIZwjYXXLC6XBjaFEoAaFaF2x1wnlAIBapUgBBwLJATTlEdTjsX/05oh/O5WhPj4+7+LwkB4H22AaDjsDJNW1VhClN7liuTUsvKIEqBjAwCAIYAGYHkGFOsgiYAAVCEFxHsPpRKoKh2+s45N3NhZLh1oMBVBq7Wc8mhQlQU0LTMaKw240o7fcIiowlACCqa8FgdtNpBRiC7C1tpBWtuAYA21o+rjHsUB2txRyKOwPH1WJ8l7gCAo6PhgQf4rYcmTpBdPBhAIIgqzAJLCYwYxn2r16v0xUNhwABQIACYkUS4bhyJd5BkcSIAnP0t9ei6bN2pzTAg96tx5L8rnF+4Mv459m4bRe9LzFMhvCVthFUmlzusrXLl4aiMGF58xsrwuDaFx/kQi0J5pBkcTpwY6TGgTHJ1pa7DJvNTwkCCQD8kD+aI+zf5U1UU6hche+bGJYVHt68bfeOjA9EfBlB/+SEr+vga28Dc/xbjMXHkvDTSJSvC1dWPzG4/j5s2/howVcPQi2ngNBqYN89jLE+dCoMHt3MAAIiIgDvucDU2BmUk6AvEPYTkuDNRrAxOtaBWO3YBBkA2F9bYkc2FdHIkJ8GJsdUFgLGGRmEUMD3k48633V4lxJ1z6ARxFvfAG4veTC6AKABgGAJZzre5LE7AgACwHSOaYhkZpIchmsTnzGBzYopECeFUuIoG8BOIKrB+93lnp91G/J19AZjLnwUADAM6nZC463Tt8UPEeIF7L5P4kWrcUPuajFlWL4djVHiDBX51MidagCKAJaHVCbEM0ARSyOAcqz8Ul9XAahMVKJyVd+x9cWSOC9TNhZR1dzOGaSfu/pZwPpemXG35vN8N7u1zuy5mURGLJbSDa2qa5h8oRAYDXCTuLcqwBBWkaXAkgwEgkgEauSrawOFSJtshVglqpf9QIV0G593OEXfOVMHvQt4Wd+l8anfQvz8cOyYL05yyy+tIttEGAGB24GY7ZkicpEYMiWvMUIcY1gkaGuKMGgBfs4a7xHsd5abmPvUzTXc+qQU25/ctCB5B0HsRgpEjPUpKSviLbSI9DfQ67ppE8MdrWLUl//dTsoEkpyaQHye6fjyTRSL0/ij6UJPj7+Xyv016eN7OT5dOfMglI39OzHPLqdTFtXkeQq0jladMOFWJnJ7lbQpVhaYjjEx50kAK4b/Meia36pd6le6bwunjYmDFtdRuY4Zm1c9zbklNDpcBwPPXKODCQPvIAqei3ZhCDB3iEUKUJGH2bA87Aj+EFNcUgmzoOh1WKq9Q4t59o6ObN/gfJCY7mOwYEBBcRG9AdVZwYVBTwMoAA8gQEARyYtAziCB6JqrMlUXXREGkmVyMfUIkceexq7Nt9XZXexB3BMjlgr0tcgBI1SA5wcUARXIZmOwQF8GArbP/7fStiawheC7hrkXJjRUAACAASURBVADwWyYjo91nAC6qeHfAcjEWd+/WdttW3T8nSd/TKssSCHa7dHFOaJKrMAa7E35txrUWNCYScvTkl6ccZjtemztJySg0FM7QAiiV7Q45fK8eAXF3Ozb4fGv+KsPv+QLizn9GibgHBV/RhOjoSDh+rP2DRmNkgCSQisR2F2w+56owQW0bbjRmaEpmm8LJwuKUrpxD7RTTpnUcexCs/byJ+9Wj/3sCGRnQ1ra33nWWjXACIUMACCwutLcOA0CWFiFAGLBVFSZrrLQAOSTZ1+4cBFTXF3dEfVvcxcwI7sVAyFeJlz8E4wshYc6KSZPchxZuSCVumJ8PZjOkE+faqD31zv8b8zskk/3fmFuNCrLOpasOi+LyIp3WJ9TJPJZYVYTySBOeFees13g0spVVV2g7LO77kgpiGWiOTXxl2qNtjCrfKHvzGhmJYGhhIjTlQziPKo8fDwh1mA4pSph1oSdUhycue+LudvPlBkl3toxF2ETtGHB75qV2uDCWAW61YweGJDW02AEDKAiQIQC5vN1GGNrDJeJtt1cMgvJvAQCG8UvcAxhIfIpi2VYHQggjXs9qkbMAsKfOlaklohh8wQYyhIwsOBVs58RdPB0XmXAKrpApHPOfYsiQDu3GESy3yzu/AQmig+/yh5h3a7uJO9/0zv0Fd17ZnQOFZR0YjhJapTL8QpiRixdidkKdGQDggtk1UI+ON4OLYeUk6OWgl6N2T3qS7Phftbo9I727AhoNVFV5lAicH7jKBCDugswv7gdhWY+MVL2C6urqVatW7d27Vy6Xv/baa738790F54ji6evSoo/qIPJ6gwsjGQE0iQ404AMNuLIFWu3YicnvNP2YWKIZkb6S3HYbcR0+tUJNxdf2EnHvPmga8vLO7HPVawy0zeJWNq12DAB761054cjIgsqoC68BUqsiiIsnZAQIoK4DT1ti5vEryeIeclCemcljYzn9H8Wi94vIsqTE8Ka4N8bQxxpdf9wLP8flcsS9Shvb6ukq00wpz7aCXEbkJ3i8wRaFqkbXbnF3EuThuOx+LPHJtUQFRCsTovOGy9qTIstkXJqIDtD0JT98eNnHcVco2ic8f4FUxUMEDdLLQU4gkrO3AyYQqCmkpMCBAQGQCIXRSEsjhQy5sKdFJ4QD78qia6LA5ygBIMYCHewaQKWKbo/1y4VbBZKAzCglAFidAABaOUpRowQVyAmwKzqLDwAiNrhFLi0gGIrfJ8B/ufw8RGo1qFQd5haa7lDZbi9/LsiGtyh3bGw3S3M3r7/hybI0AW1h+vLkfHc8YBmBoliXE8M5C0QzaISRGB6JhhiQjEA2F27/F7VauNgAXyuHi//lYYfzvl/w0bu7ihwUPYN9+/Zt3LjRYrGsWbOm9/+9u+B8GDyJ+/kbbnPIFQBw3pCwZuAksxNHyMGFoc4Cx03I4sQkgWgSnC74sRb3xrwoePX8t+zTxUtCsJDLs3TE7qxRZyK41OiYJvDACBI4+o7AoED6KF24HLnUGjPnAhmUxf3iCA2BxV16150CIXdYp2gW3ZRJTSkdMSuZuDYOsSTa2m8U99UvCblI7TFdtsqVNgw2h0tQLteq6mNTG5XhAFCeOBAxTIEBYpRE0eD4wkHJMr4K6Cbz7AFc9sTdW511Ge6B514MeEFOwEAdKAgsJ0EhQyoKssORjACGRIzn5oRe4UmnQmgdF0k9rySIMVe7914gIJEN1lVGpeofDkYG5CSSk4iR4QgF/CZbBQApGiTj5VuiSTCEdxYfIHDdgr3T3amuCOLuN2gaQcDQoR77pD4NUT6Ju9vfxtvi7p+4A8CYePpg+mAFCRSBlRROVkFBBCIQqGTtOy+c4mZkSE5e3MPlC+T+hb/G8PbV8Vl5/k/83Sz4yaWY1CdNmvTpp5/OnTu381svTyiVwvniuuv+/c+1b01dNPFPW36io8+2wu46rKWBJrCLv5GLgCKRpRdC83Gv3h3GlP+WNX5CE0oIEnOTiaho7eH+Q9UUaGmUrEGlyQAASZr2NExmjRYA7CpNshoB8LLCuRFAXQceoWKs6ZLFvTvIzASAoQYyTk28PXnh/w0rfWHGUxuHTgsz6vh3NVGsxYkYmTBBNQ4PV6voW/78/aaBEx78wydGFs3vRwIApKRchkxdgMveVUYQIyJAdp5O4dbjBAEs65ECg4cRUYROAUeaXAggWY2ywhF2AE1ChgYdb8FmBxAABgbilUg4kdfU+BTY9XpePYeT3BqQH2zB+x53KsoALROsxV2tJhHMSSZ21bpqLaCUoRwDFRcrN5lsOVpUGYkPNIDZCSyBJyeRinMhJe6d5ljhL0L8NUsfQoA3Mniwx0f2YpBHf+v2AMTd54aGF3H/4yBZlQX9eN6FEaGXwx39iFS1y+GA4ZHk/864ON5GIhgThQDAL3HnLzbc9l3vTQDvynPe8HJ5B4kXNI479BBIk3qXkJ3d0YAAABDFou2tbBIhP4sVDVbcYIdkNWpxQKoGhdOAEG60AkIQq0QJKtD1gpei29Au8KGSyXyH/JcQPFgKrSihlvzkPNaMdQq4MY0YHUOYTDAgHI4biMMNLrtWLydwYUpYmJuuq1QecYQDTCgXB7Vvk4R7yNM0KBS+k4pczT7u3cdF8+uHo8m7tyn+b+wtFXHZ/cKJaI0HcW+Vq2jOt9mzkU2aiJJYdDYid9fZOfp+yU9kQVY4AgAgLntzdh8g7v4mv26K0mj8EXcA6K+F/tqOl8d5M0UyEEYjixMoAliZV31CFTuMojrsrFcPcXePKH6wBQH4rRGgZcQQaHf0yYui5CQURblXBe1fUQRMTSSGRoLFifVyUFFIlIuOeOKOECiVvlPu8eoGcDGMSV+OFwYBLO4AAo4VKLYjB/dwY5j2s5ueSROF9/PbnGEAQEHAe6PIX5uJeivEshCvQg6HCwCGRSIVRRxqwgCQG46yw3nE3VsX8YMDuFcOF531Mf9+wSqCI+7ewbz5H72ikocWFy5cOHbsmHd5YWGhrHuZhkwm07333qtWqzHGAHDbbbfdeuut3RHohtlspihKVPXy8tCFC5g3ZCqa4ZidSQSwyRUy5AKM9tc5L5ja4hQOAyVrsZEIA4XAbIVkhdPS4vSfvC0QWnzqLl8g5HLKZnPJZPaLlaQxRnY7ZllbSwsAIJeLttnMZrPDZAIAgiCUEr0LHlEMvDSMdGIgeIcG5ST6TRJUGQirQx23kWYSwjp+ICDufOuJ4JSde1D7TLoimLC8ibv7AA9Ii/NuoTACbZhMntHHQVL4cSDf2x/B/9bBKMNoIBG4WCWfklcy+qGRZGkqYaWy5CMueybsicu+uiEk7oKJv7o6WAFyEuT8pPc9QdwFq4urBPwJyR9xF9kT+OH5/FmplcqOHHsBTiMBIAAjAx2x2wP8r7t6gmOU3hB4UAQg7mG86USt7uvEPYjJyf0Stbx8V/w3xW8ZnQ4aGjpM1zIZsCy0tfkm7tw5cgAAIBCkh6F0z3+WETBQjwbqPV3pvC3uXA4pb+JOEB2bAAyDKaq9J3jnbIKAxN3fdkHosG/fvj/96U/e5WvWrNF0T/OwLLtw4cLhw4fb7XYASEhIUIfIBiGTycQSd/DsPAA2CzQwWicps1EM93YtLmxQs05a0Yrx2Bh8zgwOjMNppGNlajXpU6QYiH3Y1FSgaTAaFe77o6Lg/HkwGORciUIBNM0wDHP1WHB6DKSXbyyJIEGFABAkxEJubscXPqNaga+NesGgbmz0+KGAHng7C7Bsh3FXIu7dg1KG+mXFQrhq6xGXhVaY5SxjbQ/f1CJX6uSYQIAVLD8LmyIyot4GACDP6nepqt1lXPbE3Xt7OiSiQsKJ+fUJFckWaVe+wuCT1ggg8vXxjff+rNQCQhzgWwG0fvKmKhQdXnGd2tHDPK07AeDPZNs3gcVPTu521vE2Pd1vimWBpjuWZDqdcJkUEwMVFb65b9cmSJYFloXU1I6S8HCIjvYg7ioVkCRoNMCnlRpNe6wYfjfz9uqBgMQ9QIfsBoqLi4uLi3tCMkmS6enphYWFNpsNAGiB0/AlQqoGt0UYP7j2ToQwYCAARTKgleMmG2AARoaS1cAt0Vv8pGoIMXQ6kMs9YjzrdHD+fMeo5+y4EnoaU6d6jD6BpuWPXKXSg7gLJmsBce/U0hTgTyV0ATodAMSpEIFwo1rvJu4yjTKSwQQCG0YyBUuZ299gmzZCS2IAz0gJfQSXvTdPD7nKhIQT94TFXWAm7N6edZ+BGBUmZklDUR7HSvytAQSEWHBS2R87D/CVgFoF7l0iiTtCV9oqTjwLcYeGFASf4SB4CzodZGV5lMTFAULtRnEO7jfeZRI8dqyHQADIyQGjseMjQqDRCEMRex+ZBT8R63uduF9tiJCjiXGkPTxCJQM1hSIUuCSGUMkgTI40nh0zPrhcKF0FQmA0QnJyRwnX2/mvW/KN6QVEeHhWCEclf9kpUNeBB2mnfENgrro81rd9HUMMRKYWmTQdejjWoE5SEQCgkIGT7Xi58khd//DLngD7wWXPC3vOVab76GlXGS4EnmAdf0WCryv9kWMxTkSC3/qb9vhKljsFyE9wE2D97Y9CCcoD0HGS9Pg2wJ1Kpcey7Qog7uLhnkp9WtwFrT1kiNCOHhsLcXEeLeaW02XjyqBBPkoESxGDwaPC/Kr6rAz/5gDEXaPpbgqL4LFnz55BFx8ZITR8+PDt27f3ZgV6Ai8NIw0M2nLORSA0NAL/PpsEF2hpKIomtp53NdmAAEhUo7ExvULcASA52WPtx3XOHooyLEEk+EMv8ITCf1OCOwXha31OWALlHxbWrdgbEgAAIFwON6QSrVreYkylNCoQAJidYFOw7tNUNUpDkqq3RnqocdUQdzEDKVj0tKsM+NqAu/KgUHgYG/xRK37LUJTvc/qC3/p7KYJytdqDuAewuMvlwDA+0lgKBAag4xqNx6H1wHeKlHnlQa8HhIAgfO9OCIi7N7mJjYX+/T1KfHLloOAdQNY7ZNiUKXD2LL8Ac50WeUYic9eBn29PpfI438Z/3RQVIApWD6GwsBD37lKhF0AR8FQ+YXUSDgxKGQC0N+roaJSiJuqtoJRBshpRvWaGGzzYo19xHYM/8CXi3vsIYEfnz0H8uE/gi+Lz9XynrjKcBIm4dxtODKdbcLSuw+LeKGMBYZsLvj2FR8mV3HuyU3JVuLLego1Mn+Tul/dOAUF4jCJ+ApRgwT+PCKHg2XK5B91kmNC4tQhG+NVwPlXgXSCGuHt/9PlbgWQ3AhvIAxB3f9+KJ9mCn4sn7leVxZ2iICwMtFqPyU+pbLdwd+o6wrJQUOBRolS2z7JdJu5ioNFwoYU7wFVVr/dQPuHh7XqMT9wR8ui93tY4CSGCnGxn7W4ggAQVytejjLBeZO3g9Za5DiAR90uLAHZ0vvYIPELFaG+BLgo87/QMMMazZ89OSUlBCG3btq33KxByNNlwiwMs2o6pXxOuUpBEdRvUml0NVPtba9Toy87iai8TXF/B5U3c+aG7gRfgtmui+Og+DRKMTM7DtfsQQ0+vMIgk7oLm9dnaIol7YFGBvSl8qleB1hbvbCNwrwxQq6uhJ/ARESGc2BCC2FgAcTOcIL4kXJwme/kcEvcSExI8CikKNBpQKISvmP+8gnpKxP1qgFYLBQUQE9NRIhH33kdERId9UKBq+OpaMCQFd4oxwAmmp0tB3BFC48aN++KLL3Q9atHoRcgIJENwnu1o2yMOpZzANhc02qBN3r7L0ajW25z4fFtfTY1yeRN37+7e5XlXMMzkch9Te1DgW8s4hIS4i6GnVxgEKkOj8TBPcuCHbXHf5o0ABhI+BJ2B/yoZppOO4ZNCCSrj3Tf81VCv95vuQSDTYOj6dlNfRHIy5OUJC7kQHF2bY7hf9e78hGNjQS4XEneuGpGRwhfqnsgJQriik4j71QCCgKlTPXqFdDi19yGXdwy3AMSdfzgBOrO4Czb8vaV5/1dv4c477ywoKEBXyuSipsDqgCOyDj1/GlizEyIUiEDguHg4tVETEakgwum++tSXN3H3pumCwA7i4c2lujmFewsMYD0VCYVCOP4F2uGKhMDwIPBs5uDd2j57gqDD6HQ+yK7A/0ogqlPtKcbiHoBkC+4kSb/9UPBHFNXLpPMSY8QIyMkRFiYmQlxcFweFTgdKZW/nspbLITfXI+Qfh6wsHx2Y74gv8Lu7GhbwEsDrKIW0YLskMBjaL7w9G91mHYEWommP7RHBtwTRIZODXH4FuMO1tbUdP378+PHjJ0+erKysvNTVAQBAABUt6DjdTirsJHWsjao243Aaj40hWi9a3Ns0OoMCS1FlegbczjgfXSay/IjLHGJiBCfJgoP3vMvf4uwaYmKEitu72lcevB1awsM9cteBr3bw2TIC4s75JHBZKt0wGIRGbn6nCmAs5xAXJyxRKHz8r/cjcPDm/QYD1NX5uNNn56+v76R6Vzbi4mDkyC7+Nj7ex6niXsDIkT6m5MGDfaTo8nlolcMlssZJuMSQ3vslgcEAx44BQj7aPyICzpwB8DNI29pjh/uesM6d6/jInb/no8e8+BYvXuz00jbTp08fNWpUNyVv3bqVywWBMY6Pj1+zZk03BbohPgOxABhgSxXNKtt1aZtcWWNxVdQ7WrStphYXeXFxVa/Ss2DXYXPXshra7Xan02kX5MrtBqxWK0EQFEUBAMuypPf+jCf6GnHvssXdJ3HvDrzHbfeJu3clWRa02is8sIw3cdfp4NdfPUq8W8ZoFMbIU6t9hMLV64XE3Zt5K5UdeUlTUjqpbXQ00DTYbB0lsbE+7OuRkT6IO0H46CQGAxw65KNK3no8MhIOHuykelc2aFp4+lM80tMhPb3z20IOf4Y0b9UcgLh3X7dI6IuQiPslAWcdj4/3MaFwxB0h34OUMwWSpA8LY3Q07NvnIUcApRI0mkCZ+7qKhIQEb+IekmTG48eP/+ijjwDAZDKFKjuyG10WaMMOm7qdVLTKWYQQy9IqFfrlPD0orF2mJiqCltOIYdRdSnHGEXdFN92teaBp2k3cxaBbxN1kMv3vf//75ZdfNBrN9OnTUzolPUGBIHz0/qioroQ0ZhgfGrA7c6Fc7kNgZKSQ0gULn8uS6OjLirgfP37822+/PXfuXFpa2pw5c+Td9D0IC/PhvZCUBD/+6FHiTdzlctDrPWzV/FQmbkRGwvHjHiXx8T5uMxrBZAKEOifuJAlxcR4yfQo0GODwYWFhdLSPh/XpYeW9ZIWrw2/qaoZG076A9GnM02h8GOklXNlQq30s8HoMDQ0NGzZsOHfuXHp6enFxMeHv+M0VD07T9uvn9yut1ocmT06G3bsBAAwGHyHmBFOYT7WflAQ//9yF+gbGfffdF3KZlzOytHhLZLwLEQR2nddG6ymUo0EA4ABUF9ee/bomOdPqBIrAXLLkPodujcy77777vffeQwgdO3ZswIABW7duDVW1AC7yYAFouis7Shzd95bf5YTS0dG+nae7Sa18un9cTt4yDoejsLBwz549FEW9/fbb11xzjcU7mHpQ8KkcU1M9vFkoSuggyEHQMmlpouT75NmcF7LBICp4i8Bl2duE768wKclHYXy8j77kk7hfop5w8ODB0tLSpKSk+Pj43/72t9XV1ZekGlc+EIL8fKBp313U+4SrhCseCOHeCifldDoTEhLee++9w4cPL1y4cMKECQ6Ho3f++rJDTAzk5/ve3MvLA4ryPdckJbVrcp+K2mj0mNR87v75tD31ML799tsVK1bYbLYNGzasWLGiyz4qlw8eySOVMcZH57+xK3Pkc3e8OiwKjYklACBNjXbOmP/t/Kf/d9ef948rTVAhBdknWTt00+L+5ptvqi4esCBJ8o033hjZZQ9Ub/jrxDk5sHlzcKJ8DhKCgIQEoUuGSAiiRLuRkQFdPqIREeE7fGFGBmzY0Mt5E/2BJMnKykrupS9atCg+Pn7Tpk0TJkzoukRBsnoOCgXExcHp0+0f09N9h17JzITycu4SA0Bqqo97EhNBqexIXqNS+T7iOXQo7NkDI0aIqnN2NmzaBC4XAIBM5pujp6V1uN/wK+ON8HBITISTJz0KfVJ8rRaSkoR39jzOnDkzZsyYF154gaKoBx544JZbblm3bl0v1+FqQUFBu93dG/HxcOJEr1dIwiUG7q0ziwRBHD16NDo6GgBMJlNiYuKmTZs4D+arEVOm+N7rYFkYM8ZHHmUAUCrBYICaGsjO9vEtTUNiYvsQjojwTe4vEXE/c+bMxIkTf/75559//nnUqFGqPp7sL1lDfFFMvJ9w69qia8YO7P+bFFItc1kcMCaGaHHQB25c4HJAgoack9xXWTt0k7gLXjDT5SDr3qBpvyxq6FDYsQPEHwtgWSgs9P3VtdfC8eNBc2Kl0jfd5Oq2c2cXcxwWFfkORRIVBf36+fC7uBRACLlfukwmczqd3XKV0Wj82hFzc9uJO0JQVOT7nqwsiIjgvGVwaqrv0GkEAVlZHY43o0b5bmSahjvvFBs1OSICCgvbZY4c6Tt8JElCfj5/hemKiPDrh5Of70HHU1N9U3wAGDq094n7+PHj3dcPP/xwt9ZpEgJDq/XNCQAgLQ2uiAwpEoJCrxF3hFD0RTapUqkoinK5+mqU6xAggIdSAPvOpEmwf79vezwAjB7dTtwHDPB9g1YLqaldNCZ2FX//+9978+96Bwkq+GM+BVF6iCYB2o1s4TSUphC1agYQYYgg6b7sCBaaw6nl5eUfffTR5mAM4Wazefny5d99953NZpu4a1d6Wlqye7nJMK6SEpdM5iOnPQCQJDFuHLFune9vAcxms0wma3fzZ1nnuHEYY9836/XEkCHEzp2BnUfNZrPL5Wo/56vVOq+/Hjsc4GcbEU2cSK5dG/iISVtbG0KoI3IqQq68PFdamr8nQkVFxIULyH8MnKamJtzWRhAEQqi7Tuei8eyzz6ampgZ1Mt1qtT788MMAEHbq1MDa2sH/+IfW35GAnBzi7Fni6FHXoEEurdZvy0yYQPzvf6BQnB06NNps9h2MdtQosrYWnTyJMzKcAwb4EwUE4f4KY1xTUxPopMioUQRJgsPhGjTIr8DCQrK6Gh0+DBi7wsJqRoyI9Ndt0tKIvDxi717AGBuNrmuvxf5kJiYShYXEjz+6HI6mpibSYgEAmUwmC0nWXhHYsGFDgb/tpoBwOBwtLS0hPMBks9laW1uVoQt0bbVarVZrCM8bmc1mkiTFnzfqBHp964ABCpstlPaRHobFYsEY094ej11FW1ubQqEIYW9vbW2lKCqENTSZTGKCQohHM0GwLlcvu5u/8sorOp0uKN1us9n+8pe/AEBzc7Narb7zzju1ITpZW19fL5fLQxVoHGNcX18fwmHudDobGhraBcbGQmysX6tibCwaOxZaW/HQoX7vmTQJv/dec3MzbbcDAEmSl/9JA5fLxb30UAkM2WRxcdHLTRYsy9IExGrlQFHdDIRutVptNtslnCw60YCbN2++7rrrvMt3797dv39/7vrkyZNTp059+eWX87wTpvgHQRBqtVqn061fv/6UXL5o7tykoUMBAEgSlEoUWPPl5+O8PDCZwJdJ4PE//CE3N/d3v/sdF7GbCKxDS0pwUVFgG/kdN9548803T5gwASgKVKpO3nhmJs7MhJaWAHsC1xcXv/zyy7m5ue2fVSpEUYFqaTDA/Pm4rQ2sVp/fX5Obu3H8+Ojo6JBot3vvvffDDz8UFA4cOHDLli3ujx988MG//vWvjRs3BjVFIYS4DG2vvPfezbfeOiw2NtDPr7sOX3cdAgj0B0lJsGABAOSEhVVXV7M+TeYMAzfeyO2qiKxrY2NjYWFhbW2t3zsYBoqLOxHIsjBnDrbZwOk8fOLEnNLS8ouOPUKQJEyZgidOBLsdGCZQByNJmDgRl5Rs+e9/X3j00bXffQcAIdHsH3/8sbeBbdCgQZk8R8+dO3cuXbr0+++/D0ryK6+8snTpUu566NCh3333XTerymHlypWfffbZJ598EhJpAPDGG29UVFS89NJLoRL49NNPazSaRYsWhUrgguXLx/7664033ggAKpXq8s+ZsnTpUozxs88+GyqBjzzySGFh4d133x0qgbfeeutdd911/fXXh0rg5MmT33nnnUJ/e7zBo7CoaO/evdEhOt/y2GOPrVixQlCYnZ29atUq98fVq1e/+OKL3333XVC8BGPc0NAAAMuXL581a5bD4QiVwT4rK6uqqsq3bg8ejY2NAwcOPH/+fEikAcDhw4fnzp37008/ibp72LD2C3+No1J9n5W1ZPHitevWQYh0e0/j5MmTxcXFJ0LnyLdz587Fixdv3769u4Iu9plVq1atWLHiiy++AICQpPJ46623Tp48+dprr3VfFIfnnntOr9c/9thjIu/vhLiPGjXqgq9w1G4TxZkzZ0pKSh5++OHbbrstqIrK5fK5c+dOmDCBs8qMnDo1qJ9zInwWmxUKh1pNdRqQ2w2KCpygrpWmXWFhQQiETmKymmQyCA8PTiAEStBgRoiiqFDZ9v7xj3+4mZYbfA3y6aefPv744+vXrw82jhBN048//jgAvPvuu3ctWGDweeS0qwhhC3ByQiONogBARlEIoU4EUhSINKZSFNZqXcFEj+oUGzZs8D6LZjQa3cR9375906ZN+/e//52fnx+U5AceeGDJkiU7duxYuHDhzp07Q1NdAIZhZDJZCM08crmcoqgQCqRpWi6Xh1CgjKIUCkXIw65JuHrw8MMP33XXXYJC/ibtunXr7rjjjtWrVw/w587hB3K5fMmSJQDw5ZdfPvroo6FaabiFh2onmZMTwn1pmqZDu9FN0TSQZK/tnEvoi+iEuAfukefPnx8/fvz8+fOvtnhDVzYCM+Avv/zyD3/4w7p16zK7HFFbwuWH5cuXB/i2vLz8uuuue/XVVydPntxrVZIgQUJoodfr9T5DIAAAwJYtW2666aYVK1YMGTKknv9P5gAAGM1JREFUN2slQYKEoNCtjZh77723srKyrKxs3Lhx48aNe+CBB0JVLQmXJ5qbm+fOnatUKh988EHupa9evfpSV0pCz+Lw4cMlJSULFy4cPHgwl+D6qj61JkHClQiTyTRx4kSdTvf666/PmTNnzpw5UvAoCRIuTyDcjTiD+/fvr+NlwAkLCxs8eLDI3953332rVq2iaZqLGxrCCETNzc0URYXwCFdjYyPDMCHcuqqvr9doNCH0c6itrdXr9QRB9OvXL4Rph71ht9s3bdrEL8nMzIzzGQ/RC01NTWPHjm1qagKAurq68PDwEB7hqqmpMRgMITzAVFtbGxmsL5N/OByOpqamALauYMGdtgkPDweARx555M477wyVZG+89957zz33HL+kvLxcpMvp6tWr77nnHpqm7Xa7yWTS+YzF2SVYrVaz2RyqA3AA0NbW5nA4NBpNqASaTCaCIEJ4fLapqUkul3Oexzt27Ahh/wwtJN3eF3W7zWbje7oDQEFBQarPGLtekHR7H9Xt3cGWLVtuv/12p9PJHc+N8JlSqksI+WRhsVgsFktoJwun0xlCr0X+ZPHNN9+4T5D6Q7eIe3dgsVjO+g+TIqFroGlaJI2+JKirq2vugZTOVzl0Ol0IVVLIcfLkSclCH3IkJiaGkBuFFpJu7wlIuv0qxGWu2ysrK+3iA3NLEIe4uLhO41xdMuIuQYIECRIkSJAgQYIE8egDwYYkSJAgQYIECRIkSJAgEXcJEiRIkCBBggQJEvoAJOIuQYIECRIkSJAgQUIfgETcJUiQIEGCBAkSJEjoA5CIuwQJEiRIkCBBggQJfQAScZcgQYIECRIkSJAgoQ9AIu4SJEiQIEGCBAkSJPQBkE8//fQl/HuMcXl5+Q8//NDS0hITE8P/6tixY1u2bCFJMticZA6H49ChQ21tbYLMBQcOHNi+fTvLsmFhYeKlNTQ0lJWV1dfXx8bGdjl5W1tb28GDBwVpFF0u144dO/bv3x8ZGRlULkCHw/Hjjz/u27cPAATpyvbu3fvDDz+EhYWFMKdXyNHW1rZjx44DBw4olUp+okqn07l169YDBw5ERUUFm8uwsbHx4MGDSqWS/0ObzbZhw4Zjx47FxsYGlcvw4MGD27Ztk8vlXPq6rqG6uvro0aORkZEE0bE8bmpqKisrO3/+fHx8fFDdqb6+ftu2bcePHw8PD+f3FrPZvH79+lOnTsXFxV22GXkAoLKycuvWrdXV1Uajkf8u6uvry8rKGhoaujC+jh8/XllZaTQa+YVnz55dv3692WyOjo4WL4pLCXzkyJGYmJgup710Op1Hjx5tbGwU5Pw7cuTI1q1bKYoKNhfgoUOHdu7c2dDQEBMTw2+cU6dObdy40el0XrbJU0HS7ZJul3S7OPR13X7u3LmtW7eePn06IiKC/46am5vLysrOnTsXFxfHbygxqKysrKioEOiNrk0WLpdr69at5eXlRqORSzvdBbhcroqKCi6JL7/85MmTGzdudLlcgvJOcfz48a1bt9bV1UVHR/NfbnV19ffff9/W1tbJ/IUvKQYPHpyRkTFt2rTk5OTi4mKz2cyVv/rqq5GRkaWlpUaj8dVXXxUv8Omnn1YoFAqF4pZbbuGXP/7443FxcaWlpREREZ999plIaXv37jUYDNOnTx8wYMDkyZMdDof4mrjxm9/8hqZpmqZffvlld6HT6ZwyZUpOTs6MGTMMBsPevXtFSjOZTHq9vqCgYNq0aQaDYcGCBe6v7rzzzpSUlNmzZ+v1+m+//bYLVe0F7NmzJywsbMSIEVOnTtVoNO6Xa7FYioqKCgoKpk6dGh0dfeTIEfEys7KyaJomSfK7775zFzY0NAwYMGDUqFElJSVpaWnnzp0TKe2ZZ56JiYkpLS01GAwffPCB+Gq4ceLEidjYWE5H1NXVucsPHjxoNBqvv/76gQMHXnvttTabTaTAjz/+WKvVFhcXl5SUaLXatWvXcuXV1dUpKSklJSUjR47Mzc1tbGzsQm17AY8//nhkZOR11103ZMiQ+Pj4w4cPc+U//PBDRETEjBkzsrKypk+f7nK5RAosKyvT6XQKhSI6OppfvmbNGr1eP3v27JSUlLvvvlukNJPJVFBQMHz48IkTJyYmJlZWVop/NDdeffVVpVKpUCgmTZrEL3/ppZeioqJKS0sjIyPffPNN8QKnTp2alJQ0bdq0fv36FRYWNjQ0cOWffPKJXq8vLS2NjY196qmnulDV3oGk2yXdzpVLuj0A+rpu/8c//qHX68ePH19UVGQwGHbu3MmVHzlyJCoqaurUqYWFhUVFRRaLRaTAvXv3cgwbIcQv37lzZ0RExMyZM7OysmbOnClysrDZbMXFxQMHDpw2bZrRaPzll1+CejoOH3/8sUajUSgUhYWF/PIPP/wwIiKitLQ0JibmmWeeES/wjjv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"\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ] }, "metadata": {}, "execution_count": 10 } ], "cell_type": "code", "source": [ "function plotdata(X, Y)\n", " return Plots.scatter(X, Y; alpha=0.33, msw=0.0, lab=\"\", size=(300, 500))\n", "end\n", "\n", "function plot_model(model, X, Y, title=nothing)\n", " n_grid = 100\n", " y_grid, sig_y_grid, x_grid = compute_grid(model, n_grid)\n", " title = if isnothing(title)\n", " (model isa SVGP ? \"M = $(dim(model[1]))\" : \"full\")\n", " else\n", " title\n", " end\n", "\n", " p = plotdata(X, Y)\n", " Plots.plot!(\n", " p,\n", " x_grid,\n", " y_grid;\n", " ribbon=2 * sqrt.(sig_y_grid), # Plot 2 std deviations\n", " title=title,\n", " color=\"red\",\n", " lab=\"\",\n", " linewidth=3.0,\n", " )\n", " if model isa SVGP # Plot the inducing points as well\n", " Plots.plot!(\n", " p,\n", " vec(model.f[1].Z),\n", " zeros(dim(model.f[1]));\n", " msize=2.0,\n", " color=\"black\",\n", " t=:scatter,\n", " lab=\"\",\n", " )\n", " end\n", " return p\n", "end;\n", "\n", "Plots.plot(\n", " plot_model.(models, Ref(X), Ref(Y))...; layout=(1, length(models)), size=(1000, 200)\n", ") # Plot all models and combine the plots" ], "metadata": {}, "execution_count": 10 }, { "cell_type": "markdown", "source": [ "## Non-Gaussian Likelihoods\n", "We now look at using another noise than Gaussian noise.\n", "In AGP.jl you can use the Student-T likelihood,\n", "the Laplace likelihood and the Heteroscedastic likelihood" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "We will use the same toy dataset for our experiment" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "Create an array of model with different likelihoods:" ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ Info: Training with the Student-t likelihood (ν=3.0, σ=1.0)\n", " 2.309321 seconds (3.13 M allocations: 770.705 MiB, 6.15% gc time, 59.78% compilation time)\n", "[ Info: Training with the Laplace likelihood (β=3.0)\n", " 1.513189 seconds (1.26 M allocations: 672.434 MiB, 3.20% gc time, 46.17% compilation time)\n", "[ Info: Training with the Gaussian likelihood with heteroscedastic noise\n", " 3.318307 seconds (4.08 M allocations: 1.397 GiB, 3.92% gc time, 51.40% compilation time)\n" ] }, { "output_type": "execute_result", "data": { "text/plain": "Gaussian Process with a Gaussian likelihood (σ² = 0.01) infered by Analytic Inference " }, "metadata": {}, "execution_count": 11 } ], "cell_type": "code", "source": [ "likelihoods = [\n", " StudentTLikelihood(3.0), LaplaceLikelihood(3.0), HeteroscedasticLikelihood(1.0)\n", "]\n", "ngmodels = Vector{AbstractGPModel}(undef, length(likelihoods) + 1)\n", "for (i, l) in enumerate(likelihoods)\n", " @info \"Training with the $(l)\" # We need to use VGP\n", " m = VGP(\n", " X,\n", " Y, # First arguments are the input and output\n", " kernel, # Kernel\n", " l, # Likelihood used\n", " AnalyticVI(); # Inference usede to solve the problem\n", " optimiser=false, # Keep kernel parameters fixed\n", " )\n", " @time train!(m, 10) # Train the model for 100 iterations\n", " ngmodels[i] = m # Save the model in the array\n", "end\n", "\n", "ngmodels[end] = models[end] # Add the Gaussian model" ], "metadata": {}, "execution_count": 11 }, { "cell_type": "markdown", "source": [ "We can now repeat the prediction from before :" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=8}", "image/png": 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"source": [ "Plots.plot(\n", " plot_model.(\n", " ngmodels, Ref(X), Ref(Y), [\"Student-T\", \"Laplace\", \"Heteroscedastic\", \"Gaussian\"]\n", " )...;\n", " layout=(2, 2),\n", " size=(1000, 200),\n", ") # Plot all models and combine the plots" ], "metadata": {}, "execution_count": 12 }, { "cell_type": "markdown", "source": [ "---\n", "\n", "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*" ], "metadata": {} } ], "nbformat_minor": 3, "metadata": { "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.7.3" }, "kernelspec": { "name": "julia-1.7", "display_name": "Julia 1.7.3", "language": "julia" } }, "nbformat": 4 }