{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import torch\n", "from svetlanna import elements\n", "from svetlanna import SimulationParameters\n", "from svetlanna import Parameter\n", "import matplotlib.pyplot as plt\n", "from svetlanna import wavefront as w\n", "from svetlanna.units import ureg" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Use of a nonlinear element\n", "\n", "The nonlinear element allows to control the intensity of the incident wavefront while preserving the phase distribution. For the aim to define the nonlinear element, it's necessary to pass the intensity ```response_function```. For example, we will use the sigmoid function as a response function and the gaussian beam as an incident wavefront:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def response_sigmoid(x):\n", " return 10 / (1 + torch.exp(-x)) - 5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creating numerical mesh with using `SimulationParameters` class" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "wavelength = 1064 * ureg.nm # wavelength, mm\n", "lx = 15 * ureg.mm # screen size along x-axis, mm\n", "ly = 8 * ureg.mm # screen size along y-axis, mm\n", "\n", "Nx = 1200 # number of nodes along x-axis\n", "Ny = 1100 # number of nodes along y-axis\n", "\n", "x_length = torch.linspace(-lx / 2, lx / 2, Nx)\n", "y_length = torch.linspace(-ly / 2, ly / 2, Ny)\n", "\n", "# define simulation parameters\n", "params = SimulationParameters(\n", " axes={\n", " 'W': x_length,\n", " 'H': y_length,\n", " 'wavelength': wavelength\n", " }\n", ")\n", "xv, yv = params.meshgrid(x_axis='W', y_axis='H')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creating a Gaussian beam using `svetlanna.wavefront.gaussian_beam`\n", "\n", "Let's create a Gaussian beam that will fall on the nonlinear element:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "incident_wavefront = w.Wavefront.gaussian_beam(\n", " simulation_parameters=params,\n", " waist_radius=2. * ureg.mm,\n", " distance=10 * ureg.cm\n", ")\n", "intensity_input = incident_wavefront.intensity" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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gNHgI49pB4vBgg5/B1HSpF3iA4V7iGuHXwa/4eolMT9/3egA1Bu/FpZdeyqQGZAR1cyrdV6yDMAquG9thGuFCEBaQRBtQIvCwxvuJ+w5lBp4mEA8oal0BCAzeN9QNQk0bPMgrERl8bnAvQdBsQ68hL0sttVRZCAYhUFwfCAjeU9TUeeCBB5g4JQGhJPxdQe2Bv6Yv32McF8QI+4VXB/cXpN0YiesFtsffHogs6s0g6wvEU4iMBYSNqoWO/OYkMg5ysPv7JASCRgD6IIGMoMBeUiaGQCAQ9DRQBgA/yD7+9DgaPrxyobvZs9vpe0ueyaoWVL5mgSgyAkENAN+HtwWKj5AYgUDQ50DYyKtSG8trTkVGiIxAUAHwH/ztb39jmfv111+ne+65p79PSSAQNCGUmbdypqTfpKElITICQQUguwOp1yj0hT4wMOwKBAJBn6PYTlSs4gQpdr3wZyOj4dOvYYxbdtllucIszHcwelYCsk5Q0wHrw81vym3bIQQY4ZAVgWwbpDmm1XJAeiXc9jDboTS6YPABny18JpB6jZo0AoFA0D8ohYbftIGaM/26oYkM0nnR7wNOefQiQVog0lHTSm+jaiY6vMIV/8orr3CqIAYU2jJA+iPqfsBBjwqcyD7APlFWPA5ksKRlFAgEAoFA0FNwvGJNQzOiobOWoMAgbRYplgBSZpHWiBRGtK1PSleE5wENBQ1Q/RWqCogLbgWICZqfobQ3APc3SosjzdBOcUVaJEjUX/7yF65XAWJUT6VSgUAgEAhqzlp6dyINXyBfed3vOul7K94oWUuNAtQiQWEs1C6wi2EhFIQaEknA/HjHVqgtKDkPoG4I+qLYJb3xAQJhwraGyKA+CQpMYbt4Qa60EJRdVRaECw3iFllkESnNLRAIBA0M/ABG4U38CI53dO/5rKUq+/eaU5FpWCKDlvQomgS1xAamp0+fnrgNSErS+phvlpt5aevgQ7vnnntya/uxY8dyTZFqQJEnFKUSCAQCweDEjBkz6Hvf+16v7d/xi+T4btV1mhENS2T6C6gqCvZtK0HVgHVtJQiyn6pFgg+lKDICgUDQuIA7w6MFFligdw+D3mReFTOvF+1f1ixoWCKDjrLozYEwjw1Mo9x1EjC/0vpmjHnIWrLXMf6Xxx57jMNM6AViA+oMSqaj30gcWDe+vgJIjBAZgUAgaHT0tk1AmXkrH8Np0tBSw2YtoaswGrmh/4rtPcE0GrYlAfPt9YFHHnkkWB/9X0Bm7HVgtEL2klkHGU1otoZ0awwmfRsZVJKeKxAIBIJeAdSYWoYmRMMqMgDCNWjeBjUEjQHRVh5ZSeh4a5r8oYus6ah76KGHcon5888/n1vNo+kemqqhi6th1IcddhidfvrptOKKKzKxOfHEE9nEhTRtIF6eftiwYTxGp+XejI8KBAKBoHnhFDvIKVYOHTnFKi0MBikamsggnRqVV1HADmZchH/QudiYdT/66KOIi3zDDTfkDrPoYIsqrSAryDxCF2a7NgzIEDrdokU9OtdinyigJxAIBAJBv8CH4uJWX6cJ0dB1ZBq9LgAR+maIR0YgEAgaF3iElnqtdot5Xnz+ws9p+LDK2sPsOUUate5jUkdGIBAIBALBAAN7YKr88PWaU5ERIiMQCAQCwQCH45VqyFoqUTNCiIxAIBAIBAMdosikQoiMQCAQCAQDHKLIpEOIjEAgEAgEAx2iyKRCiIxAIBAIBAMcjueTU6UFgeM1ZxKyEBmBQCAQCBpCkalhnSaEEBmBQCAQCAY4HK9ATqmaIlOiZoQQGYFAIBAIBjpEkUmFEBmBQCAQCAY64I+pavb1qBkhREYgENQFp5faavhc6l0gECRCiEwqhMgIBII+JSz1Hk8IjkAA/4tHThWe4giREQgEzYy+Ji5dPS8hNoLmVWRqWKcJIURGIGhSDFTiUg1CbARNCSEyqRAiIxA0ERqVvNR6TUJqBIMWQmRSIURGIGgC9BqBcXpgv37PkQ8hNYJBCx/p11U+074QGYFAMIjQY+SlJ8hKV/bfTYJjrl8IjWAwwCkWySm6VdbxqBkhREYgGGToNoHpbeLS1fPoIrERQiMYFJDQUiqEyAgEzU5geoy4VP61GIXX58RGCI2goYGwUjWi4jXnZ7uebx6BQDCYSAyIQd0kxq0w9PF+zPnXeQ24V4PR9CxoBiJTw9AFXH755bTssstSa2srrbfeejRt2rSK61900UX0gx/8gNra2mippZaiww8/nNrb26m/IIqMQNBs5GXA/8ZJOrZX+3XVqNSIQiMYfJV9/bp3e9ttt9ERRxxBV111FZMYkJTNNtuM3n77bVpsscXK1r/55ptp8uTJdN1119GGG25I77zzDu25557kOA5dcMEF1B8QRUYgaAYSU5NyUZ8q4pDbY0N11HFudao0otAIGofI1DDUCZCPfffdlyZNmkSrrroqE5ohQ4YwUUnCs88+Sz/60Y9o1113ZRVn0003pQkTJlRVcXoTQmQEggZCXQ/dmkIvlQlC98hH7ajvGDWGorpAaASCwRBamj17dmTo6OhI3GVnZye99NJLNH78+GCe67o8PXXq1MRtoMJgG0Nc3n//fbr//vtpyy23pP6ChJYEggZBXQSmIqqkcNakevTwb6CU+hf2ufip4SWzjlf5ftQQcpJwk2DAAn8jfpW/bV99buFbsTFlyhQ6+eSTy1b/6quvqFQq0eKLLx6Zj+np06cnHgJKDLb78Y9/TL7vU7FYpP3335+OO+446i8IkREImpzAVCQudROWWtb3aj+ORXDi51lObNwqx6iP0AiZEQwo4HNbLXLkq8/sjBkzaPjw4cHslpaWHjuNJ554gs4880y64oor2FPz3nvv0aGHHkqnnXYanXjiidQfECIjEDQ6iakaOkrbt1sncekpFabafrz080khNumkpuuERtQZwYACit0Vq3wfFNVnFSTGJjJpGDlyJGUyGfriiy8i8zE9atSoxG1AVnbffXfaZ599eHqNNdaguXPn0n777UfHH388h6b6GuKREQga2QuTSmKS/SOp/hMQhjISk+5F6UmjbzmhquCBMecZO9d0T00FH02NHhrxzggGTGSphqEe5PN5GjNmDD366KPBPM/zeHqDDTZI3GbevHllZAVkCECoqT8gioxA0AQqTO3qS43bBqfR/d9Cvu+lHkMpLfFl+tvaPrb+Bk9XaaooNDWoM6LMCPoVbOatYZ06gdTriRMn0tixY2ncuHGcfg2FBVlMwB577EGjR4+ms846i6e32WYbznRaZ511gtASVBrMN4SmryFERiAYQOi+CtMVAlOubpQfsjdCTl7qvkFu0olJghfG7CMh9FROaLoWbpJQk6BfgY9tVSJDdWPnnXemmTNn0kknnUSff/45rb322vTggw8GBuCPPvooosCccMIJXDMG408++YQWXXRRJjFnnHEG9Rccv7+0oCYG0uFGjBgBQY6/HgWCmkhMdwhMneQlmbikmIWdrv8K89HRt4ZvZENsIvMi68SWV10/YZvwYCnnZO9LvjYFBvgslGjWrFk1+VK6+rz43wU5Gt5W+Tti9nyfFjmi0GvnMlAhioxAMIhITHcITDl5cWsiLF2tKQNikbRPRW6iqot9bnG1Jhp+qqzQ1BRuklCTYCACH7dqHzmfmhJCZASChgwldZ3A1Epe4iSj/pBTZQREJKaeYJ9RwpGJKDfRbgRRf030e9wrIzQ1h5tqDDUJmRH0FXzP4aHyOtSUECIjEAxkdJvE1EJgkslLtXBTT1X3LScuUUZiKzdxtSbkGyFRKffSJBOanlBnhMwIGt0jMxggREYgaJhQUhUvTBcJTBp5sdetrOLU75OJe2OYWNhhIIvc2MvipMdwjMjtipGgiOKCc++KOiNkRtDfQFXfak0jfWpKCJERCBqQxNSiwtRKYJLWSyU0NYSbaoHZp00isO8IwbG/lBOISlSpKffTmLBTmYemJnVGyIxgYMEvuuRXKYjn64J4zQYhMgJBI5OYKipMLQSmEnmpRa1Ry+rPXPKpFPW3gHhYBMcOJ0UUG32LkuYlERqb+JSpM7wg9NkkhqXCi44fJHYPhMwIelmRqdpriZoSQmQEggYhMfWoMCHRKFdT7HXi5CSJuERDTJlEIuPWqcx4IBplJCYTITjxcJJRbJIITPAFnkJobFNw+F2fHG7qjjojZEbQWxCzbzqEyAgEAwH1kJiaw0jVFZi48lK+TjlxsUlLvaEmQxIyloLD4SS9f0NwDLEBqTH7ZfISv00xApNGaGxTcGq4SciMYCDDc6t7ZLzm/Nz1TNpBP+Lyyy+nZZddllpbW7lc8rRp0yquf8cdd9DKK6/M66PZ1f333x9ZjvqAqHC4xBJLUFtbG40fP57efffdYPmHH35Ie++9Ny233HK8/Pvf/z63SO/s7Oy1axQMcjWmjMS4XSIxSlEx2yp1hQfT08hxyXWy/JrHWoFxnVxknppW8zNOVg+5YHD1kHVbrOVZyjotkfWSBqyj1gu3M/tTxzNDdJk5H5yjGnLq3N1c5LrMPQiv2RCmBBIX3Fc9tno4Jfd/qva+1fh+CwRdAUhMLUMToqGJzG233cZ9IkAkXn75ZVprrbVos802oy+//DJx/WeffZYmTJjAROSVV16h7bbbjoc33ngjWOecc86hSy65hK666ip6/vnnaejQobzP9vZ2Xj59+nRuqnX11VfTm2++SRdeeCGve9xxx/XZdQsGM4mJb5tEYtyqoaQ4gQke7ua1RWDC5Xqe4wbkxV4vTmp4fcoFQzUSE27nJm7nBscNiQrP18c258hDhLxowhYhMPY1q+UhwbOUqDiZse5zeSNKITOC/oPvOzUNzYiGblEABWbdddelyy67jKdBMJZaaik6+OCDafLkyYk9JdAM69577w3mrb/++txbAmQEt2LJJZekI488ko466ihejlLP6Dlxww030C677JJ4Hueeey5deeWV9P7779d03tKioHlQP4mppsSkhZLKQ0RpIaSoR0YRALXnUMFQCk0svMTzyj00boLRN65olLcHQLCmVLbc01lLZhqhJU+HfDDPZDUhBIUwkQk9qdd6Pb8UeGjUNuFrs9yEiuLLIiEky3BQsR2C2lH5vGDbhv2KFQygFgVfHLcQDW+t0qKg3afFz/ym6VoUNKwig1DOSy+9xKEfAzS2wvTUqVMTt8F8e30AaotZ/4MPPuCmWfY6+ACBMKXtE8CHZuGFF+6BqxIMJvQ2iYmGkhJUmIg6EVVggpANXrPioRSQUHkJFZeIooJpylGWWoLXGcpGhuiycH01P1wvl7BeknJjh5tspSaYTlRoElSoCNlLy9hKC+Mlv0+V30+BoOcAXm0Mv+kDNSUa1uz71VdfUalUCjp0GmAa4Z8kgKQkrY/5ZrmZl7ZOHGhhfumll9J5552Xeq4dHR082AxbMLjRFyQmMt+QmJgKE1dokhQYW30BceCxmW+pMcE2ep4x/cYzltJSsZV6En7lQFUxa7LCQiUmOHjN6zt4VbLUGpyvF6g06nr0tGUGVmZdy7BrG4Ct17YRuNwEHM1oSk7Pru2pIeZfQd8VxHOoGdGwRGYgAC3MN998c9pxxx1p3333TV3vrLPOolNOOaVPz00wQNHDJKZSKCktjBQnMPHQkSEwahyGl9RUNNxkkxjXrybwWiTGUSTGkBZXkxyVtRSGlewMIpOGHSU0ipQgCypOaJg7xAvpWaRFvVYtD4K3Jag5w2cZvg+JP3VjZEYymQS9iFo8ML4QmcbCyJEjKZPJ0BdffBGZj+lRo0YlboP5ldY3Y8xD1pK9Dnw0Nj799FP62c9+RhtuuCFdc801Fc/12GOPZVOyrcjAyyMYnKjP5NkVEpPmdyn3wlQjMLWSF/OazwhEIqbGxFWZOKkBcYlMa2IQqC9GdWEVxvLH6H82qUkmNLoAnl/gH61mXSwrU2ds0hJJ0w5rzkTfG692ZUbIjKCX4Bcz5GeqlDcoNieRaViPTD6fpzFjxtCjjz4azIPZF9MbbLBB4jaYb68PPPLII8H6SKkGmbHXAelA9pK9TygxG2+8MR//+uuvZ29OJbS0tLDxyh4EgxP1p1l3RYlJJzEmQydIr7ZITJhmrebHfS/Ku6Jew78SDH4LZf0sZfws5fw85SjPTpi8n+f5eT9HWT9DOT8XDJnYP3sZhnww5HnAPtk3g9d6v6G/Jpt4jkG2k36N6zIp3Iq0hdcf8c7EfERJvpnEbKVaO32LX0bQC5CspUGoyABQOSZOnEhjx46lcePG0UUXXcRZSZMmTeLle+yxB40ePZpDO8Chhx5KG220EZ1//vm01VZb0a233kovvvhioKg4jkOHHXYYnX766bTiiisysTnxxBM5kwlp2jaJWWaZZdgXM3PmzOB80pQgQXOg90lMdT9MrSqMetiHCoxRXEAQeI5WVEAcbCUGa6pt1PWY9cx0NTXKViSglwQqjFYxWGnB/zzPqDFeoNTEVZoSFZMVGj4jvY5WXox3xqOCOZkgBBVWDlZnptQds5qtuITKTEW/TIoyI6qMoHsF8aqQaY+aEg1NZJBODSKBAnYw4yL88+CDDwZm3Y8++iiiliAMdPPNN9MJJ5zAdV9AVu6++25affXVg3V+97vfMRnab7/96Ntvv6Uf//jHvE8U0DMKDgy+GL73ve9FzqeBM9kFvYleIjHR7KUoiVF1V5LDSCArNoGB4hGEkXTYCPPixCWc1iRGaxvqXMNrdCsoEiFhMS4UsIgMj/EvJDF+KqkpOkX21CiykkklNCW/oP0zFPHOQMEpCzWVmYCjrQ2SPDNVyUzax0HIjKDXWhQ41Ixo6DoyjQqpIzP40G01ppdJTJjODCKTTVRgkggMQkaGvBjiEhAZJyQybh3+oJDEKDA98S0iEyc1eqro2GqMIjRGoSlRIRgrMqOynZQiU2RTr117xtSdMTVn4vVm4rVmyurM1FpjJuXrVYjMYELf1JGZcdBoGt5SWZGZ3eHRUpd90nR1ZBpakREIBjzqIjFU1RMT98OY9e2aMKrOSjZRhQmIi3ntu0H4SL1WxEW91kqMITKOwxRIHVNNuzokG72ycJ6B/XvJi83DdEheosSmyCRCURKjgOA1SIzju1TCmPUWl4oEpcYtU2dwykmhpiTjbzSjKRpmiqRmp/Zmqs38K6qMoG5IaCkVQmQEgm4iVYWoNaSUtDyWYh3NSApJjCoCV+6HSfLCGONsoMb42YgCw1qNj3XNHkCCrL1ZxCVOYFyn9nvBxISJg0q0BqHxHBgVNZEBiXHUawcGRk1kXF9RESgzwWtNXLyg6WSoaPEeAsJSCFK1+ahVyIw65dAzE9lnApnpCoTMCOqBhJbSIURGIOgGutJPp5ovpiKJic2LZyXFQ0lGgTGZPobAYKwyg5QCYwgMlvCY90mUCcZOQGBAWpQioziA8cQE4aWUWxIKE4rAKNVFT/tEJU1kDKHBNM6KlRnyKQMFBkX09BhhJxCaouOyh4ZVGfbPKHXGtC8whMUYgflctMeGjb9JKdkxA3Bq0bxa/DIVUrIFglohdWTSIURGIOgNVFBjwnWSfTFmXti5Wa8eDy1VIDHxUBKrMb4q4W9UGOgzdggJYxAYW30BgcFgyEsGZtlAkTGkRp+xflFJ/A6cJkwUFIHhZ7xDVOR5WKbJi+8wmQGxwZ0A9UAgqcSkBWN9cF8rMeZ1TJ1Rb4erzL+GRuHc+bi5qmTG3keUzMTezi6Yf0WVEdQMv4bQkk9NCSEyAkGvqzGVQkrJ5t7y1gJ2nZhkEsPdpLUfxhh6TShJqS/ZiAqTY2UmJDA4co6PoclLQGQUeVFj9YzPYmyIS6DMxK+2GpHRYyYiRFkmLmbaoYzv87SnCY1pmIDSeEahQegJ8211pugXwxCSfd8hjOh5JqOpFjKTlMkUXmmNISZRZQTdhFdyyCtVJjIeG8CaD0JkBIKeRi0F0RKKq9nm3lQSYxwrlicmTmLMOqaQnDH0GhKDMBKTF/bQYAySgteKwGQt9SWLeW5IVAyZ4bGlyqjzDV9Tii7BPhUqJzGG2JS8cBqKixpAWhwqaHWGrxskx1EbxdUZRVCUdybkmlBjcpzVZLxDNplhzSdCXMK2CElkJs38K8ZfQa+hBo8MiUdGIBD0icG3Dl9MYrG7hHBSXIlBRV7b0KvIS0hiMOSZvLgR9SXnWmqMC4VGXVKEwMSJjHXZLshFSlEB86jm0JEmMGVEhjOMQGIUqVHhJodfu5Y6o9QakBricBPUGKPO4H9UlombeQOFxlGKDMiMqkFTbgCOkhWqYv6NfzaS5wsE3YHvQw2s0qLAb05CLERGIOg1VMtSSvbFRIlNed8kW4mxPTF2OCmJxCCUFFdhclqFMSEko8DgtRmg0BhVhl9rcgPSYlSYkNT4iZzOfL9Cs+C8pTIlRtEMJjKsxqjXGU1ocDtAVDDf1QOmWQwBoYEZ2Rgd4xlJAZlRqozJZrI9Myo8Fa4bdPBO9MuoJpO1hZhElRH0EPABFUUmEUJkBIJ+CSnFU60TQk0J5l5T7M7UiQmzk0ISw72Sgn5FoQrDVEebeUFYsi68MVqJsQhMLonIBMqMH/hj8FqRGD9QZtT1+BWzKkIlJjT7wsPI5CVQXcJpEBooM0Wt0JiQE1QZRdh8Djvx8XWoSfll1LhTExEQP1UwTzWgtJUZdXKq4SQrMiZ1W+8zGnbS2VBJKdll8wWCnoFkLaVDiIxA0Msp15UMvrUUvYs0P7R8MnaKtU1iWIlJ8MMYEpNzVThJqTEgLkaNIcq6oQLDy/i1bxEbRV54rElLViszfGVODUTGyk5SpEaFi5Cl5GvyEhKWUJnh4/pEBR1mcsE6LP5gekIh1MQH0MQjy/nT3BqYPB2CgzpjfDEgMyA5UGvs7tnR7tjlIabylGxNVEWVEfQCpI5MOoTICAR9nm5dOdW6orlXG1VNw4CyDtE6nGRIjOpDrUhMLhZKagGB0T4YQ1zyhshoAsPLHF8vB6EJiQuWK2+NH/HGmNdJUKnVcRLjlJl7izFVpuAp+ojXODeQGRAcJ5ivzMAm1KRMvDrcpF8joymSmRTecCYkIEogN3Hzr63gpKVkh+95jcZfgaBOiEcmHUJkBIK+UGNqCClFq/dWMvcqMpNGYnJ+jvKsyERNvSAxUF84rOQ4lM9EQ0kYg7hkXRU+AkHJBWqMb00r4oKxrcgEZEaPbb+M8sYYRSZKZkqeWlORFxh71bigp0Fi1PGdILzEJl+9e/hjjErDpFATGi7Ux6ErOyMpn0hmVBaTug9x82+SX8bOYupSKElUGUGdEEUmHUJkBIIeh1tXqCkppKTmJ5t7kaFkytgFzQUsY29SZlKcxCCEFCcwrMhkoMKECkyL68WIjBeQF0NkDLHBIzioJRNTZUBa1FhNl/jXpSI4SKPG7IKHonXK24IxQkcgNyAwIDOmqnAGr1mNUfsCucFCrB98j6PrvQd1JKM6bmvygdfwF6mOTajsi3uF89CqS8z8Cz9M2HspiahUNv6KKiPoKYhHJh1CZASCHk+5rlWNUSSmfHeK2Jj14r4Yk6EUKDIWiYEaU4nEYMzExVVhpJDMqDASiAwTFq2+ZF2PSYsZK0Ljad+MUWYUuTGembTQkiEzYTgJ1AcqixpnQWQ0mWElxnGVKsOKjCI4IDEFHVIyxMaQGuQgMXXQPhqQGZfbHSBcpH0zQSXg0Mxb5D70uYhfJh5iYi+MHZqqaPytEVIkT1AHPM+tXhDPa87PkxAZgaDf1Jio6TcpS8n4YkxIKRxCRSZjpVhz3yRj7LVITCZGYnKxUJKa71M+IC6GzHg8sDeGxx4vYzLDyo0iMZi2Q0tpikwQWmKygh5JUIfUdMbJUMn1mLgUPPiCfMp4LhWQfeQpK6+jSUvQqBJGGeuWqmhP1ASMisEgk0aZKTklJn4RMy+VmLT46MfESooiOibElJTFZKswtasy1SHhJUESxCOTDiEyAkG/qDGx1gSWwVdNh1lK8ZBS3BejyIxl7rWMvbYS0wIjryEygSITqi95DBlFUAyJyWdKQUgJZIXH+jWPXRAYRWIMgTEeGTt7yZbFOb2afTF6rKeznqc9Mup1jkkMwmZQY0CWXBVWYmKnVBkul6cNv0H6N4ebQjLjm0wi3FufWLUyK4J8IJNJ9fdWpMMUysOPWxNiMllMQSNKu+1BXaqMhJcEXYN4ZNJRpQOVQCDorT+ngLTEWxNYBt94qrV+jCti46sGkCAwpvkjkxgeh9lJXOROp1bbikxLQF7UGGQGnpjWTEkPRcq7asxDtkgt2QK15TqpNdfJr3nIqaE130l567WZb6bt5W1Yrvdl9tGaLahj4thZjD0em/OBWoR5PHY9PteAjFkkLUwft4v96SKAoaso0rohIIZWiwc3RizNe2ZUs/h7H30fy9tNpHwI6vrMCJoX5sdAtaEruPzyy2nZZZel1tZWWm+99WjatGkV1//222/pwAMPpCWWWIJaWlpopZVWovvvv5/6C6LICARdRc0PoXjdmKg6k5RurZYZNSaaam18MXZIKUiz1sXujBqDMR7wLZlyJcYYe1l5YTKgSAxCSCakBCKTzZQo55ZYfcnqaVZijDqjw0s8ICVbe2ZshGqMy78aOd6PMJPxxXguFd2MVmPUGEpQkccZKpjMKB1igkrTGagbuD/w6KhsKL53geih/DdKBMH9UUZj1SVbhZrQcFJRHGUARojJZDEZ4y86b4dtC0oJfZhSVJlaGkomfbQkvCToI7PvbbfdRkcccQRdddVVTGIuuugi2myzzejtt9+mxRZbrGz9zs5O+sUvfsHL7rzzTho9ejT997//pQUXXLDmY06ZMoX22msvWmaZZagnIERGIOhhlIeVqKKht5IaA8SzlMwykBk11t4Yq3dSoMYkZCcF4SRHeWKMNyYgLhaRgVqSy5SYnGCc1YMhMS5CUa6aViQGhMY0XPQjX66I77M/BhK5ITGlTEBmsD8elzwqeiBxvvLKlLBfq84O9ltC7jgsuyGZAavI4VhIWEIISceb2FisuQyOj7sF4L7BEwM1BiEm3wFdUSEm8z4a46/xyoCgGJUmKYspsa5MGSS8JKgf+FhVDy1R3bjgggto3333pUmTJvE0CM19991H1113HU2ePLlsfcz/+uuv6dlnn6VcToVpoebUg3vuuYfOOOMM2mijjWjvvfem7bffnpWdrkJCSwJBj9SOqS/l2p5fSY1BoKjM4KtDSkxeTPsBrlhrKTG2sdeoMDorKQwnqVANVJgWHUpqzaqwThvCP1b4qE2HhtpaOqilpZNaedzB49a2dmppVdN5jIe085Bv6+DBTLe0zed1zfqtre3UhmmMW9uD8BMP+tgIN7XhHKzwlgk1IbRkwmN4zdfJKpMOMRniZqtTPOgwnPYW4X4axSvoU6W7iSvvjCKP6n0JCWbUnI33LS18FPVDlS+X8JKgZ0NLs2fPjgwdHR2J+4S68tJLL9H48eODea7r8vTUqVMTt/nb3/5GG2ywAYeWFl98cVp99dXpzDPPpFIpVCWr4dVXX6UXXniBVlttNTr00ENp1KhRdMABB/C8rkCIjEDQB2EltYmb2hgyXK4MpjapKasZg4ct+zsUiTGPVjykHasBpKkNY3wjYSaSevCDxIShpZL2n2CMoUi5TJG9K3l7gM8F/hYQmVZFXHItnTxm4tLaHk5bA8/Ty9VYzcthf1hm9hvz1oDM5EFeMGafjB6MZ0YrSllDZmJeIPbKxP0yuF/c4dsQwZAgqqWGVFoZY1ariLS0+ch7WfWr1e3x4ouC5shaqjYASy21FI0YMSIYzjrrLErCV199xQQEhMQGpj///PPEbd5//30OKWE7+GJOPPFEOv/88+n000+nerDOOuvQJZdcQp9++in98Y9/pI8//ph+9KMf0ZprrkkXX3wxzZo1q+Z9SWhJIOjlsFKlh5qtxtjTxhujVAFDYJQ3xs5S4iU6pIQmkKYFgXmIm3ASlApWL3isUqiVWVZlJkGRgf/FhJJAYkAgcnrIZouUyZYolyuosFKuyGMXYaZcicNJCDMhvERuNLQE8C9FZCiZsFIpQ34JdTEyXBsDA/ZfKmYog3MpqfRr10rvBhBuchFW0giVdBMuUu4UPh7sKbpXUxBuclWNGtW8UrlicB+RkK2sNDrUlJCOHffKxOvKKO9MPBVbIOgZsKesigfG08tnzJhBw4cPD+Z3J2xTdgzPY3/MNddcQ5lMhsaMGUOffPIJnXvuuex9qRdIGS8UCqwO4fVCCy1El112GROka6+9lnbeeeeq+xAiIxD0WlipvABe6nFidWOCX/4RZ4zxxigCg3/G4KuykywvjFUrJgixaEUmicQolUORF1ZjNIGBQsLEAmQmV6RsvqB8MdkiOSAxGY/cXJGcbCkw+4LIJDWOjJAZTWD8YoZKxSyTmmIn9utSpliiYiHH+ygUcuydKRTVV1VgKmZCEzc3opieH3TThjEG4yymPUViwC9A+DCNPeKLE/9ADNlxAx9PLB07JJlRr0z5e5hJMP1SbTVlpDieoAqY+KNidZV1AJAYm8ikYeTIkUxGvvjii8h8TCPckwRkKsEbg+0MVlllFVZwQEby+TzVAoS0rr/+errllluYaO2xxx6cPbXCCivw8ksvvZQOOeSQmoiMhJYEgh5CLeGEeDsCe7sgtBSMlYvD9sbYZMYufBdPtVZNH8OO1aqgnW+RGYRkkI3kpZKYHIhLrsihn1xLgUkMDy0dlG3tVMOQdsq0qWmMM0PaKTukgzJtnZQZ2h4OmMY6rVjWwWOzTa6tnbJ8jE7K5hVZQsgJx0e4KTgffX58jvr8QcRMeIyvSYfOlCKlekYFTTB5UHfbhJj43pm7qtOxo9RR1++xwn7mvTLhpsTPQhXiaj4PAkF/pl/n83lWVB599NGI4oJp+GCSgPDPe++9x+sZvPPOO0xwaiUxa6yxBq2//vr0wQcfcFgJCtLZZ58dkBhgwoQJNHPmzJr2J4qMQNDT/pgaw0pqV+V1Ssx2dt0YU99EhZac4J95KKuHtepmbR7agQoTmGAVgWEVxtRk0cSAw0gYwwfDJKagSEwe5AKvCxxCYkUGYSWoMBxWghrj8WuCKgNFBmqM6uAYwmRb4Mu2qMJKGLt67BWyrOq4hSxlClkqmiyozmyg9CR9SbPcnrEK7elMJoSMOHxkFBkKw0y4TzxtejoZEuOEqgyISzSDSb3mTticmZRUGC8tW6nrWUqShi3o7fTrI444giZOnEhjx46lcePGcfr13LlzgywmKCVIsTY+G5hyEfqBSffggw+md999l82+UE9qxU477cTp19hvJbXIJkuVIERGIOgHxJtDAnZYqSzlWqsxxqBqqzGGzKhxdDBkxnSuNmnXRpEBqeE6MUaRsUgMxlBJEEbK5AuUaSnwOCAyIDA6rIRUaEzzM53JTMJFIySDKrzFEvlFV8ngFonBdl7G4yaSZUQIVMDqM8Np3BlVBbiE1GmQFN0xG9fnO74mLcoEza9B8nSHa+y9BOLHqdkuZRBS0iQmDPOhlWRIKk0qtgoRaZJjEZikSr/RN71rNWUEAlODCUO1deoFQjdQPk466SQOD6299tr04IMPBgbgjz76iDOZDGAkfuihh+jwww9nYy7ICEjNMcccU/MxjRcmjvnz57PXBudSDxy/WZsz9COQDgcnOVrVJX/jCxqnLYFbsS1BvAieiwq9VhE8M42xKr2fo6zTYjWHzFGOWijn59mEivL6LT7mZbgpZN7NsMG3NYPXyhODVgRtWaRcK4Nvq061HoLUau2HQZo1pzVzNpDKTkLoBunUea3AQH1BdpEhLyAybkunMveCwBgyk/fURznrqEs3nRzVBYctrzH2fPKLPndq9MEuig75hQz5nVnyOnJMajCUOnNUbG9R484se2Y62luoszPPfpmOQo46i1lqL+SpvZSl9mKWOr0MzcV8z6X2kkudnkMdnkvzixgTdWIoEbWXiDo8nwq+T52eRwXfow6/SAUqUcEpUKdToILTiSkqUAeVqEgFv508KpCHlgZ+gUp+kcfwu4C4cKsDvxhMQ4ExBEd5YjSBiczjmxL9bCV8HYsiM9DBtJizbGrxpXT1efHc+J/SsGxl7WFOsUjr/+PJXjuXngL8NZ999llZwb3//e9/PK+eVO66FRnkj9cLVABsa2urezuBoLGRVOwuOWU3Xjsm3EPsH6syWh/QZfcD3qDHtjcmLNWP5o6m6aPuZM2F7/RgVBlt6IUCY8JJRolRBKbIPhcnDxJTCgiMk9c5zzD/8cm4aigjMh4PDr6kih4RCA3YBWI/MA2zUVgbhnn98F4grTSbBWEoRBpPFr0S5XxXNZv0XfbKQJmB+oSxunbVODKiyrCCo5QsjM19DczV2Cf3WFLKCxQyRUxMRpbaolJ2UrQ4XqXPiag0gv4LLfUHoJ+gVEQc//rXv2jhhReue391EZntttuurp3jRBE/W3755es9L4GgOdKuY2Elfq3DSma+HVYyZEbV9FV/Y7Y3JjS26nCSNVZdrcOqvSrNumSZewtBOIkVGZhxNYlhVaalQE4biAxCSr4iMHn0PsgRZUFiwBiy5DORiZE2r0SOJjI8dBY4xET5EpMZeGx8kJhsiZUZk8IdjK2GeDaRKZTQMRsERoWY4K3hSr6E5pCqHYGpq2MG7MWEm5DlBELocLgo9MvY4SXV/KA8vGTe4+SWBXzR1g0QwiLoHgYDkVlooYX4OwsD+jPZZAYqzJw5c2j//feve791e2QQQ0vqv5CEBRZYoO4TEggGNOqswprYEDLeUDBCfuxibKHx14xtoy++BEBccEaZCmqM8cjYJCauxnB6dbbEtVx4MF4Ym8SA1LSWiHJQYRDHQvwqx4MPyTsLAuKSjzFgp4oygSmpcREhqSzKihIV4Y0pEOdS40EPg6/ehE3BvkNZKDOeQ5mcameQKbl8zlgGIgZfAKsx6L+Eppm6VkzR9gtBkcI8FQFjEqMULKwLkqeIkDL6hknvOJskkVsty1RtWSAQ9EcdmYEKGImhxsDoe8opp2iLhQIyntDqIC1bqseIDJzN9YSJ/t//+38DOk4nEHQPtRrrKrQnSAkrqa2ibQkMicFDVz1slY8H6kIktGQpMoEyo8NKKCyHuix23ySTZs0qjBVO4jFIDFQYTWKcNkuFAYFBumW+RZEXkBM3Q37GEBlLlfFK5EOVwcO+WFBDNkcOxp3om1RQhKYdZKCo7pgVWsp4DmVLugaNLqrHJCdTYsMvKzIuigKqEFPkukGC+FdgNLTEJIZr0kCFqRxecmPF8WwVphqBSaodU089GclcEgwWRWbixIk8Xm655WjDDTcMejV1F3URGRSvqQdXXnllvecjEAxaf4ytxKT7ZXTtEhNmCsZhWMlYhzlTCQ9aPYDAKEKDh3PojQkJTajGoAmkITJo+siNH1HoTntkQnNvQZl64YfBdw5IDKqEMonBOM9jJi/ZPIeV/Gw+kcg4hsxkQGKgwmSIUOjOdcmBeuOhTzU0E0VmHKRnG9KC18UsZUol8kolynol8rwiZYtZKpYyQRdu1MopeiBtiswooudjb5HQkvEVKdqi1gtT2p0Y0Swmvp/kl8+vCslcEjQpkZk9e3YgbKA9ATKUMCShXgGkW+nX7e3t9Nprr9GXX35Zlu/9y1/+sju7Fgj6FV3qc1NTEbTycJPtjwmPX14EL1QMVFjJhEaMEmMrMuyHMQRGP+RZnTCvDYmxwkkRc6/JSoKxF0pMi09OqyYxrS2KvDCRaSE/18qKDAgMDyAomsTgNQgMAySm2MnTTud8ckB+Cu1MYng9rNPeQQ4VmMxArQGRUa2rXc5m8nOoyqsGF+QG5MVSZUDSMq5LGc9cuw8fsSZymhAaEmOFl0zvJRd1ZfQ9xwnZFZVtnwzCUKaejPHJmPRr2ycj7QoEPYWSp8oNVFtnIPtjTKbSggsumGj2NSbgXs1asoE8cxTKQdOpOLpyIgJBMyCqykQbR5r6MaEnRht+rbASKwZWWMnUjjEkxigzqYQGSgzUF6NgZIo8cK0YXR+G1ZjAFwNCY0hMXpGY1jZFZHIgM63k59vIy7epsFK2RY1dFWYC/ECRKZJf7FBEBsSl2EmuIT0YMN/cC6+TnAJ8NQVyQC5KGXVu6MnE7Q3g61FkDKQmUGXsa0XWUpC5pMJHgSqj75mtzkTpiqKOqnuS+pf0jeZYPhnJUBL0JhpdkXnssceCjKTHH3+8R/fdZSKDin477rgjF66Jd84UCJoJSdlJSd2tU7dPCDMFpfBj+waJUduEYSUTajJhJQ6VmJ5EulIRe2P0A941Y276qAYoMo5+jQwirg+DeSY7SRt7jRITJzF+fkhIYjKt+mStrxeQGA8m3xaiYodejkq6JsSDCE5BmYFRYC8P1abIadqsDBU1kSlkVaNKDFBfMAbJ4evS18bX6gYkztwTJoOawIQkJvSkGHIYud/aJ6OWR30yPQchOILqMNl61dYZqNhoo40SX/cEutzsA02lUNpYSIygaVBnxlLFXZURlGhLgjR/jJoOH/62R4YHfZrxsJJ6eIfTPGh/jCIzmhyYqr08oO2A9sVoY69NYrzWYYrEtC6giExuKHktC5KfG0Z+fIwhr8Ye1msdrgkQiFCrCk8F4aocm4lBoDjVm6sGg1zp84OHB+ePaft6tOJkyJohceae4H7Y822fDKeEBt6Y0PCrppP9THbfJYGgEXst9RcQ0Xn66aeDaTSLREXhXXfdlb755pu699flv8AddtiBnnjiia5uLhA0CWrvgJ28tV0gT3tkEgiVXRQvUBuCwagUqis1Hv5mHJIY9Zo7V2s1BoXqOM0ahe5MejWPQWjalB9GKzGGrFCmlZzcMHJyC6gh06ZfDyOyCU0GpGVojMxY3hvUpeEie6R7OWm1SLcywDmrsbqWiNLECpRWYngIPTEBgYn5ZIJazNorE7xnVchM7zYZFQgGJ5E5+uij2fwLvP766yyKbLnlltxEEq/7LLSEplEILT311FPcyTKeRlVPAymBoPFQ+0OoUsaSTVSie48W1rPVGB7zA1hpCIa4hGEm/fA2CoR+zQ98E37RJCYgNiAGmtBwA0ge+4pQBHViYLZtVaQjTmIQTsq2KuLiZME+yLFCSxxWQgn/0nz2z3AwpxNqD5ahvgyIU56ohIwmhLHyRO2dROjfBELFoa+QcAUEDNeCcy/q5pJ6MCEm5UMy80Kjr01i1L1T3iOT5WxUMDvSZBQzdf/R9yb+PqenYkfSrbuQuSQp2ILBUEfGAIRl1VVX5dd/+ctfaJtttuHGky+//DITmj4jMrfccgs9/PDD1NraysqM/SsRr4XICASVkfYr3zb5RueHZCZ4bakMvE4QZrJDKOHDPf6wN52lgwEkhivsgkDohy5X7AWZUYMy9ea1H6YlSmLcViYwIDNMaDR8p0i+SVcGmeFt0HCpqLw1SM3GvotQfYpEbgc52Qw5eJ3xyA+aUnrhOTIJQzfqbESVUeEjTeAsZSpyL1O+7201JpwXfx+i1XzjmUuJ9WEEgiY3+9pA8bt58+bx63/84x+cOATADGyUmnrQZW3z+OOP58p8aE714YcfMsMyw/vvv099BcTWUA0QhGq99dajadOmVVz/jjvuoJVXXpnXh5J0//33l6V/wcC8xBJLcPG/8ePHc5sFG19//TXttttunOuONLK9996bSysLBF35k4p3vI7uLcxYqnak0NQanYeHulIg4mRGqRoY83RAYjDW7IhDPKrWC1kkhpUYEJBslMS4mVZy3VbK8NDCg+tkeZoJB0JPGWQ4ZZnM8MD7UqnbrMqYY5nwkumorUNiTLjMObvpJC24/ojhNyQxEcOvrXZFavZE/UoCQX8rMtWGRsCPf/xjDiGddtpp/MzeaquteP4777xD3/ve9+reX5f/Ojs7O7n9t93eu69x22238c2YMmUKS1JrrbUWbbbZZlzXJgnPPvssTZgwgYnHK6+8wr2jMLzxxhvBOueccw5dcskldNVVV9Hzzz9PQ4cO5X2iZo4BSMybb75JjzzyCN1777305JNP0n777dcn1yxobHTXGJpIaCyPRzBPP8TNcjW2Hu6aAPA+bUUGhCFQaVSbAdU7ySUf6gOnVqt0ad9BX6VQfTFKDIiL6iOlp90Wnk4iM2rA/rJ631oBMt8rrAixPBUQFyY05nwt8qLujyIswXWm3EdzT+z7Vfd7kVbUUMy/gl6A1hmrDo0AWFOy2SzdeeedXDh39OjRPP+BBx6gzTffvO79OT4kiC7g8MMPp0UXXZSOO+446i9AgVl33XX5pgAoyrfUUktxavjkyZPL1gfxmjt3LpMPg/XXX5/d0iAuuBVLLrkkHXnkkXTUUUfxcihOyMy64YYbaJdddqG33nqLY3svvPACjR07NnBgI6738ccf8/a1tmVnJ2ODfPCaDYkF8SLxiITmkOrJH8xTDzTdHFJPBw95LqyWoww/+DHWA+UoSy2UoxbK+lnKUZ5a/Dzl+HWGWpwMtWYy1OI6lHcdanFVUtEQlHnJ+NTi+tSa8WlotkStmRK1ZYt6XKCh+Q5qzXVSa76TWls6qLW1nfJtHZRv7aDskHZuEpkdPpfc1k5yhxbJGeISLTCE/CFDVe2YtmHkDRmuspVah3OWEvwxTstCgRqjyIoiMVwjRsND6MgvUsnr4LFXnENe8TuiwhxyOueQW5hL7rxvyW2fQ+7878hpn0fO7FlE89rJn18gfz6R910Llea1UHFeK5Xmt1Bhfgu1zx1CHe0t1NmZp/bOPM1tb6X2Qp7aS1maX8xRezFLc4tZai+51O65PJ5bdLjpdkeJqF31rKT2kkednkcF36MOv0QdVKSCU6BOp0AFp5MK1MFDiQpU8gvk8bioXnNHbi8YI7TkIWTmq/5RxjejQk467BSZx3co/GilfCWLR2agAu9LiZ8VvdGSxzwv/jb2lzTU9DFLwdxigX754t967VwGKrrskUHBO6gXDz30EK255pplZt8LLriAehNQhF566SU69thjg3lQhxAKmjp1auI2mB93RENtufvuu/k1wmJoiol9GOADBMKEbUFkMEY4yZAYAOvj2FBwfvWrX5Udt6OjgweDrsQABYJaYPwx6nXlBx+rGzaCjtMJ22mFJFBkeJ5WVHhfoScmTmIiu3GyTADMelB1IvVm2E+jnSqszDjKGxu5xlgvotj52upM4jlQ15BWFC8JpsqvVPUV9BQGk0fGCA/vvfdeYmeAn/70p9QnRAYpU+iXANihGSApPbSngYrCIFPxOjaYnj59euI2IClJ62O+WW7mVVon3v0bEhlMSmadOM466yz2EwkE/YlqxKYRMRivSSBIApdhrJa1RI1BZJ577jmuGfPf//6XIyE2+rRFQU+XGB7MgGpkK0FQZBACEwh6A+ZXWfzXWdl0vC+L6eOS1K9F/2Li9gIIE/G8ohp0ejUyk5B2Xft5qqwlsw8D7pAdOc9K+0j/4u5pv4An2UiCfsRgUmT2339/jmrcd999nFjTXfGjW00j+xMjR46kTCbDFYZtYHrUqFGJ22B+pfXNGPNwc+114KMx68TNxMVikTOZ0o7b0tLCg0BQK1R6b/qfJ2qYxK0UmKzF8aZKnbspJEaPfetAVtNHA+6bFGyLTtaqLQG8IY6fMbzHOqbyjCjviJWKHexD15IJjuXpwbogTbDiX+ggZJHpqr9ao5fYG4D3RXlkBIKegWqMMTgUmXfffZeNviussEKP7K+ucDE6XcdjWZWAzB485HsrD33MmDH06KOPBvNwbpjeYIMNErfBfHt9AJlHZv3llluOyYi9DtQTeF/MOhh/++237M+xm2Hh2PDSCASV0F3PBAyfthTrGa6R9rBm0hL2aYk/8A0J4LFRYvS02rFHDg8lpZTYhANKiiEmXjt5pfaAsBiyEg4WiWElp0BUbGdC5JQ6eF9K7THH0ESGj6kukM8dREuTLd9HDZfwmvi1/iIP5ul7YUieuXXxYnbx+1bTe5FCVMQXI+gV1FLV128MIoNnJfwxPYW6FBl4YuADQbZSLcBD/9VXX6Xll1+eegMI10ycOJElqnHjxtFFF13EWUmTJk3i5Siyg7QueFSAQw89lJtVnX/++Zy3fuutt9KLL75I11xzDS+HvHXYYYfR6aefTiuuuCITmxNPPJEzkZCmDayyyiqcHrbvvvtyplOhUKCDDjqIjcC1ZCwJBGkKDFQSZC7FwxnIg6k1Y0X9alPr2nUlgtwYQ2iYwIAIuCGZsQiNA+JQ9DWxMAMq6HbygJovTECKqh4MOQUOK6nMpPYgDTs4L01imOx47WFYyZCZCEGy1BjD0phY6XONDXz/LEJjvARpfgJbtWKi45eXsPMcdd/t90Eg6E8Mpsq+Bx98MGcHg08kdQZAAlGvERn8EsSDfciQITVnFvUmkE49c+ZMLmCHG4LwD1KhjVn3o48+itS52XDDDenmm2+mE044gdPGQVaQsbT66qsH6/zud79jMoS6MFBeULgH+0QBPYObbrqJycsmm2zC+99+++259oxAoJ66bl3hI9/axqNSMB8PU3QJCNfXBEW/Vg9s8zA2X2JQbIw6oZUIKv/l5nkosa+IgFfKaAXGJb/kEhUz2v/iIz0RsdNgYHVGkxlTA8YHObGvS9eU4Ywk44UxPhqQmNJ8RWAwMBnqCPbplArkFNWgjukhs5X8oiYxOFffGlvXgqGEa9DKDO6DUaF4udWzWi0rf+fUuHYCE02tttOpBYKexWDyyGy//fY83muvvYJ5EBLAMbpi9q2rjszGG29ctykHxMH2mwikjszgriOjlqXVkQnryeSCsaohkyUXlWKcHNeQwYCaMjkfdWRaKK/ryORQR8Y1dWRcQk/HlgxRG+rIuMQ1ZFozHrVlPB4PyRapJYOaMkUaihoyuU5qy3dSPlegIW3zKd/SyXVkcm0dlMV46HzKDG1XtWSGFMlZADvOEw1Bl+s28oYODzpfc+PI/BDyWkaQjwq/XOiulcjFtenfSBgbT4yHOitahSm1k8M1ZObx4HbOJ3febHI65pHTPp+ceXOJ5s4jf16R/PkOefNzVJrTxvVjUEem2JGnzvkt1DG/jdo7WqijI08dhRzN7Wil9mJO1ZApZXgI6sjw4ND8kkOduoZMh4c6Mj7XkSn4PteQKaCODOrHUJE6UUNG15FBDZkixr6uJcNjeIVM2MyMVS2Z1DoyVuip1joyUkNmIKNv6sjcstaONCRTuY7MvFKBJvzrjgFfRwbZSpWwzDLL9J4iI92uBYIuKC94oCmxpOaqr1ACQHNVgMP8rx5m+O2hFAg83ixVJhiUGoPXRd+hrFYolILjBqoFlAylyCglxi9CXcnoMaYdrhbHrQugrmZz5BQ6WIUB8fB0rRhuDgkFJ6v9L1ylN6wrExh7sQwExhAZkJhiB+/LwVDAvA4eqAglyCPiCJRSicz54XyhImEo8WulyOC6eGz5gqKDpV4F7411z/WEuddQxGyFpZraUskbk7StqDeCelDyHCpV+f4oJWUcDkDUS1SqQWppCwS9iuSHVfwh5plf8doVo7Ys3zbwvwT+jjBMYsYmzGQ/xIvaB2Me+GpAdpEiBGpQpMAvZDVxAIEw4aWSIhkI+4BwYAzygXBQ51yuzMsKix5QsdfXAxQYruCrq/jaJCbYRxBKCgd4dPySQ8REKyQxAZkBcbFJGZOYMLRUskiNIXh8X2JkxrzmcF2iGmLCfckQc6+gLzCYWhQAf/7zn+lHP/oRe0uNQgOf6z333EP1QoiMQFAr6ujmoUILXpezXwyJCdQYbT41xlSlymjyYjwfRuTWD3B74Ad7QGA0CSi5VCyCzLhUstQYJgmFLPmFDPkFh3zU8C8UiDoLRAj7gNB0zCW3HcMcrajoEFHHrJCwdHwbDC6PZynC0z6b3Pbv1Lbtc8hpn6tCSkaNwXE6cDyf/E6X/M4seYUMnxMPJZyvHnsZKkKZwTVotUmNQ8NvcA9s0hcjMCbCrmzVyoHE/+B6Dt4ThI5CUtNzBmAhQoLmahp55ZVXcrIOWvvAi2o8MaiaDzJTL4TICATdRD0hgkioAipMxXCEfmBqEhOYfa2Hrp1+zd5cVl6stOxAhTEPdIRfygkNh2lADjRZ8M3Q6TKhYFNJJ1SYTg4zMengUFC7IiPwuLR/pwgNiErHbNU/SQ+K6IDEfBeGkniAV0YRGHhjmMQUCkqNAYmKEZjgPDWJUeNwMOoTkxmjyOh7UbRJX0BmFCG0uiBFwnhqOlTJ4u9jJaVGIOhJhGpr5aERcOmll9K1115Lxx9/PNeDM0AGMroG9FlBvBkzZkh1WoHABkhJDR4YkJd452T16FQp2D57M8LMJdvnGeoF5otL+WRKIDH6gczRoDJVxlIsPJdVDAxZjItZcjMeuRlFEpxCibyMp7pM54rkcy8jBGZQ+E7ZoP2g5otKy84UC+Rnc5yWbbpjR6ArAocp3AXOUCKtwrAS096hSAy7cH3yO3IBoQrITEGdIxQkDIEao6+pYBSZRFUqvEd8v/StVffSr4nApL+nitBEjb7xsJMoL4Kuo5bQkd8goSX0NTQtjmygcCyyhvtMkVl55ZU57XnevHld3YVAMGDRvSwRr65wUvxhiRCGmW/+2YZf9SDWISY2+IUeGUVooMCUkxk85IueSwUvww97Q2ZKWuUoFbJU6sxRqUMNrMx05MnrwNglv91XIZ957eS0twfZRU7HfBVqmv8dZx5l5s0md94sNSB8ZMYIRWEZwkjz55AzTw9QYkBiOjoDEuO1Z8jDOZhz6cjzuRULOUVgilk16Gso6msyJKaoh+B+aLWKVSurPA3uI8JKxh8ThPEso69951Vna0VUqqdeC3ER9BwGU2hpueWW4xpzcaDUCWq19Zkig4q4hx9+OP3xj3+kM844g/bcc8+u7kogGOTAg09l2gep2pYKY+bhAek44cPTsTKXggcsQkP6oYsHMB7KGdRd0KGTbOCbwTy1PHioI+TihuqFl1HjDBQZ1+OO1SAJbgbKh8ddpaHM4OyUKqM6ZDtIJVInTE4WadUlonyL6ladzfHYSVBkTKE7VmY6LYOvCSeBxBSISQyrMfDGgEiBYEGJ4THUmCyTL5vEhGqM5QUKrluH3SwSkxRWCtUu7ZAJlLF01OKDihCcauvX4cMSNBfsytSV1mkEwB9z4IEHUns7imP6NG3aNLrlllu4eO0f/vCHviMyKC6H0v1/+tOfOM6FmBdMOj/5yU+6ukuBYNClYKswkps6beYxodHzQ93FZMyoh6oKI2kS44Ck+JTRadgmG8c8rG0CkwFxcXwqOBnKeD5lHKXKFEoZ7h7tOihCpQaEmMxrgFOvNRyvk1yQGBCSPEJDJaJMhpyiSc/ORshM9FbZ1YFNZhKIC8iMx4Ziv8MhX5MYJi/tLUodgkqk1ZhiIUuFQkyNYRKjCA3ITAHqU8QXFHplgvvDilWoytiaSzxzjEN+ltHXLLdJTr2ZS/X5qhrk6SToVZgSCtXWaQTss88+1NbWxsVpEdVBJ2xkL1188cVcJb/Pzb5oA/D2229zyf8tttiCdthhB45/CQSDEik/eeo1/CY9+IxCE07jARoNbxjTb1gzpvzhrDwydmhJkRqlViDEZIVjvHiISYWZipo8mFATQjx2mIk9LPMQBkKGkfa3zJuvQk4INyUNHIrSYaT2TqL5HazC+PM0iZmPfeciIaXgHLQvJjGkZNQXL6rGmCG8H9GuByZbSRFBK6xkZy1ZoT0TVir/SJRq+BxImEnQPVTrs+TXUPl3IGG33Xbj5pFz5szhyvwff/wx7b333l3aV49lLW266abMsu666y5addVVudQ/TlAgaCokVm1NWdXyWQSExcfDUisAVgqwHV4qmtccOlLEJkpgdPEsn6jg2d4YrcTo152lLBVKihQUilA6cmro0OoHVBCoIu0tVGzPU2l+nrz5LeTNxZAjf75L3lwif06R/LmKmNDc+VyRl+boAcSFx+1q/nyM23l9JjDzibz5Gd4f9l3CcfQxDYkpdOR56MS4mFPnaoZShq8DQ9FSY0BqlCpje2RsxcrX90vfv+CO2x4ZbdiNZyylEJfAM6Mr+tYGITiC2pBkYE8aGgE///nPOe0aQMujxRZbLKhijGV9FlpCw8QXXniBh7feeot7DqFn0f77709rrbUWN2QEofnrX//KKVUCQaNB5QM5PRR2Uj6ZpMq+xieDByCW24EOtSV8KurhWvJLlCUYWz1yHVTtxQNZjVWtGCKuIRdRZRTRwYMdoSgXD3zHpRwIjBOGkji05KpjBqEl7Y3hLwrddRoNHB3fIaeY4awmrsALcw5nOunLdtV9w+UG3C5w2KJar6MK7qHAXWdWFbmzTMYcSgKp0eoQm3xxvggrgbxgvh1O0iQNZIYHY3AODL8xoqc9RpzlFavkG1VitPHaCislpc4nVu7VGUwCQU9gMDWNfOKJJxJ7McIz89RTT/UdkYHBF624EVpaf/31acyYMRzzMkDTxTPPPJNNwG+88UZXDyMQDCqfDD/YtPEXY6RaKxKjUrcD8hKQGvUA9RzUfzGUJqQ6RTRZY6IC5UURBzSaLIA0gXCQz52f4IvJOMReGZwJ0r+zMOviqc6no8YZTWTUeevO0tys0aUMSIfnkJsrklsokpMtkZvLKh9NtkQOExlfkR9NgCKBON0SgclL0AZBjTm12jb2aiWGiQwrRVnq6IQik+WeSlCSQGY6QWo0gWE1hgmNVmQCVUoNNolR5l/cN8t7hPvpGF3GUsSML8ZSzwK1xlLVqiKW5ZTwQaltP4KmhF3rqNI6AxmvvfZa8Prf//43h5QMUBQPWUujR4/u2zoy1YB4F7plCwSDCkpaqW1VtudVJzogNiApGcpEM5n0P9j8SlQkF4SGH6rwgXiU1R1jlfHXSr12jDKjH+Y+UY4f6qA1EEx8/TrDr91SOZExygwTGd0pG0NGtwsAgfHREVuTGB5jfSYysa9UqDl6P0xo0M3atBxANWGtwvDY+GF0qAsG36IVTmIVRoeU7FCZCp8ZX0wYWrMN0Cq8pO5X4DEKvEd2qrsiK7Yypt6r8rRr+71ODisN9MeLoNm7X19++eV07rnnMrFARAXJO+PGjau6HSIvEyZMoG233Zbuvvvuquuvvfba3HgaQ1IICWIIjt1nRKYWIO712GOP9eYhBIIBg4C0pBbGwwMtk9hQ0qgySglAh+xo7yXXUmVKVCKX/yERWikyGa3KuDqEohSZMMoDdaaDz0kpSCAvICQMnU0NuAWdAWUNOa/IFYAz2SzlkP5dLJFbQJq2Ii+s0JgCeghRZa1MJxAb8+WqFRner9UAEq+ZvIDIoG0Cm3sRRoIfJheEk6JKTJaVmM6Sq1UZlzriHhmbxGhVpmh5Y0AEi6xyKSXGqDFFpxhRY+LZSup9s0JMCebt2lSaWlK3RaUR9G5o6bbbbuN0aNhFEGVB9vFmm23GSTzGu5KEDz/8kI466qi6MpWRCIQfXssvvzynXC+66KLBsnw+z8ezK/0OCCID1rXRRhv15iEEggHgk0kLL4XzTXjJ7oRt15Ux1X6N+mKq/JrwEpMbO4eG/TIgLg57ZYzKwETGcyirFZmiFWJCvRlFf9S5ZIw3BuEnTWqMN4bP3oSWTAdt3VnXzZSYBGHsFD3KQFFBSAnTWo2x92P2oXaqG1OCyOCLGWQGbQisjCmTndTZmQ+NyGzsVSQmYliOKDIhgQGRg3XHhJVsfwy+SJnQWCZfW40x4bykInjqMxGGlSp/duroeC1hJUEV4BNS7VPid2G/F1xwAe277740adIkngahue++++i6666jyZMnJ26DMBCyjk455RT2tBjjbq1drz2UYuhB9CqREQiaFpYqUym8ZH65G8ISL45nHrCOVmVKThEBJkVguKqLx8bbDOiWJjKgDAitGEUGYPXG0eqMNvx2arJhukXbxAUVcvNeUSsyrkrNzqpu2a5bogyUmAwGj0qZnCI12B8IDXw/poBe5JZAjVEhJtM3SfV6UsqMMvSqY5lQEpt6QWZKWWov5pTR18tQB4eW9JgJjcOKDAbucanJjPHGgNQYslfAmDO9rEywGtQY+/2yq/lG2xKkhJWkQ7agDxWZ2bNnl5X+xxAHDLcvvfQSHXvsscE8JO6MHz+epk6dmnqcU089ldUT2Ee6Ys4FkHr9+OOP05dffllGbNA1oB4IkREIehC1eWJCVSZuAg6q/Rolxuq9FFdl8PAFoQk6NusMJiYyIDGODjHpUFNGqzPKJRPNoDIKivHK2F+YrJzoBpN4jQrAbsmjbEaFlFQRPTPWZl/ep+0tscJKWonBtGlayV2s4Y+xi9xpEsOp1Zq4FC0SY8JIJsVcjVXquW3wNSGlwBtjFcBTikyQeB2YfOOZY3jPAt+MFVZKfn8lrCToX7PvUrE+iFOmTKGTTz65bP2vvvqK1ZXFF188Mh/T06dPTzzG008/zRX9k1oM1Ao0jDzggANo5MiRNGrUKI7eGOC1EBmBoC/CS2WG31rDS3gVbVOgCI0K7UQIC8/Hg7YQrA8VxtfKAbYrwjgH8hKEbvgnVUBaAHOWCC0p8VllPrn2Lz3u2WTUIIdybthkMlsqUS5TomymxNMwBCNNu5jRrQ0yHmXcUkBi7MrA4e0K1R5FYFCATxEjkBlT5M4u0AcVBqZek2LdzkbfMJzECkxJhZU6dFgJQ4cXDSup1GuYm5UaUwB5Ya+RUWJw14uBGhOv5GuylWw1JjmslJKOLW0JBH1s9p0xYwYNHz48mJ+kxnQF3333He2+++5MREBCuorTTz+dM5+POeaYHjkvITICQT8oNbbJ1562VRlM214ZrIvAEpMeRHEckA3b+KvCSxjgCVHP0vCLT5V2UQdhZUUHrJBlxJVukWkEj4rrUCnjUU5/caI/E8gECA13zEZIyQV5UQNeg8C4sZo0ZffAMhBDeeGxVnoMgeGxrtZrlBjjgengLCXjjVEKDBt8PYdDSwWbxBglhslM1ODLJl9NYvCPCYxWvUAaQWoi3hg7iylWO6aebtdSU0bQHaj+aVVCS6SWg8TYRCYNICMw137xxReR+ZiGUhLHf/7zHzb5brPNNuExdVgom82yQfj73/9+1eN+8803tOOOO1JPQYiMQNDDadjl2UvlxfFslSYMM4Vufc5U4vpx0Qwmu65M0We3DD+QMzodG8Zf1woxmZIuJtQUaDSuTxmt2CjYKlH4pWnUGaPGcNq3pcpw6rYmNHbfJj6K5cGxx6wAafJiyIxNYJjQ+CobyRh7ocR0WBWKFXGJkphijMQYJcaElIzBFyQmCCmx4qWUGJDEuDcmKeW6Wu2Y6oRFwkqC+mHaa1Rbpx4gUwg14B599FHabrvtAmKC6YMOOqhs/ZVXXplef/31yDz0S4JSgz5J8ZBWGkBiHn74YS6g2xMQIiMQ9FFxvDCMFKow0YaSoQqjsppMld9yVQZQJEaFmAogVH42CDFxGRc0bjSqjKvSsdV5WKRC50jBX4M6M8roq7KUmLhkQBI8NvyCrIBsZBxLjdGvI40nK4SWTGp3QGLgndHThUjfpHh9GJvIhN4YkJjOUmjsDcaBEqPDSZ5XFlLiAeRFh+8SM5US1Bg75do2+SaqMdWK4AkE/Zy1dMQRR9DEiRO5Aj9qxyD9eu7cuUEWE4reokgdOlO3trZyBX8bCy64II/j8ythhRVW4Bpzzz33HK2xxhqUy+Uiyw855JC6rkGIjEDQC+0KalVl4pV+1bZgHUqNiasyeOCCwHgWieEieX7orsE8k8UUHCp+9kxswjAT16vj89PVg0E4XByTKItQk+9SxvOoZEJK6KKNcZzI4OwTwkp8Gjo7io9nERrsG9NF/Vp5XXRfKENyfBAWNQ5TrGMkxksgMZ5WZHSWkh1SMqZe3NO0TCWjvsRDSJXe98qILRd/jKCf68jsvPPONHPmTDbYoiAeitahwq4xAH/00UecydSTuOaaa2jYsGH0z3/+kwcbMPvWS2QcHz/FBH0KpMaNGDFCF0drjN4YgjIqYC1IDtEEnphAdVGKitpENSVCOIndKlpt4bGe5zo5Xe8lRxkny1V4+TVhQMcl9Trn5ynv57kqcNbXcx2MXa78m3VdyjkOtbgOZVyinANyQtSSCV/nXJ9yjs/jrH6dcX1qYbKCGjRYZoiLmsZrLqwXU2JAz9Q1hl8ttgJkiAyUF6PKYBqqi6pMrMbwwRQDgkOBH8a0Y4gYe/10EtPhe1TwVQCp4BSpoI29xuALIlOgDuWP8aHMQLkpkIeBlZkCExkzTku5jvZW8lLUmOpERsJKjQa8XyWaNWtWTb6Urj4vTl52H2p18xXXbfc66eQP/9Br5zJQIYqMQNDb4SVLlVHiS5AvpJ5jVoG8eAaTMv8qrQUeFzvEFK8tY/bBNWZAHHh/bqDMcFY0VBgtELH5F0oMnrmBKqPL8YG4cGNFECG0QlCVg3Ouqk+j1BhdIdiQGK3GJBl94+ElRV5wyiAuXKIvbPaoiYxSY0zjR6W+qPmmq3d1ElPQ1XuNLyYoJmiRGBVWivuQdEipxtBQGYmpBfIbUjBAWhT0BRDCOu2002jo0KH8Og1QZM4///y69i1ERiDobnipmum3ilfGnseRoVj133g6tgmH2EC4yWzTabY15Ai71lV9wWNy2Js+XSgdUGVAYlgh4RCMw/M4ewntD9BfSSs07JUBcTFjW5EJlBjVy8lGWGwvqspgLZAXXysynAZuERgOMxkiY2rE6Aq9diiJjb6+T50BgVGhpE6oMTqQhJBSwWE9JiAxYUCpEEm3DkJK2hsTTtdXAK+iGiMQNFHTyFdeeYUKhULwOg12TZlaIURGIOhTVcaapevK+LGMpcA0GuvBhGmEPFTYKUzTtv0yhsyY+jLhPKXM8J49Lcw4yB6yVBmcXgmkhRtUs/kXBAftDlCDhvs5aUKDVcuJjIIhMebryKY0pmZNEpExDS4NcTFhJNNaICh4Z2UlKXIDVSbMTrJJjGlBYPtioGCZwndGkVEkJtngGyUvCW0HulK1N0WNkbCSoNJHppqI5w/gjw+q+Ca97gkIkREI+lSVCU2+SXVl0oy/eGgz1WGFphCuZ8Pa3oSWfD/DRmBbmcGAEBG4ETw0UHq4NxMIg/bMcNYSXvMydKtVxAUeGmREheEkhJlCEmMTmiQEJCYgM+qUDXlRKd9KlVFkxSYy0XGoyoQkpgOGZKRYaxLDVWEsJQYkBsSFX8fCSrY/ppLBNylTKeylnVYAbyD/VhY0AlTYt7Y6Ms0GITICQa/AqhVTIYMpqdqvDbvyb7y2jAo1afMw05yCpciEnhk7zKRi6DotW6/ioXWAVmWMOgMSw8oMwjt4zQZfRTQUiWGtSBEc9HgKlJjKuV18PJvIWOEmKCt8PE1uyrpX67HdANJU6zVExpAYO5xkZyiZejE2gUnMUorVkEkqfhd5j9Leu8QFosYIBkYdmcECITICQS+nYqfvx6tq/GWwyRdp1zkOCTlaNUAGE8as2PCD2WRJIR0RfhiPsggnOT5nM2F/nFoNFYVJBHwuUFzQfwgdsxVxwDwz5FxlCsb6Zh5Ps2dYKTWG0KjKwWrawITO4r8YQUjMNI5pVBisy9NMZPTrmCKjBh1G0moMF74jP8hOsklMp9MZKDEmnBSkXXMPJWQroUFmSY2tkFLwXsWmq9WNiULUGEH3YTL9qq3TjBAiIxD0FCr0X6quyrhVyYzJYsID2JAY1JAJw0woKqVNwBwWypbtyxS/Q2VgO9QEgsQqjA4lIU1bKTJR8qJeK/qlSAzUmjDKZdogxPWlyCNfKy6qlowJNymlhRNZ4eHRRuS4AhNW6VWvC7FQkk1gTME7O5xklJcw1To095b7YpIITammnkqixgh6Go3ukelNCJERCHoSKV6ZaunYIZmxd+XF+jGF7QyM+bc8kylKZsLMJ6usL5MI5ZtR4R2TLQQPjDbglqKExhAW89ooMKoNQkhsgOoemfB1SGqi6oshNuFrpbqo5VEVxiYxnWzk9VJJDObGM5RMvZi4L6aumjH2+yaZSoJeQKNnLfUmhMgIBL0aXkpQZcr2pebbWUzRjCWvjJjY5l8OLxkdhJWbMAPKkJiMVmeUTyRDLkwxrO7AXYPQE0JHaOAYkhWj0ECB4Xl+CpHR88gmM056/N6oMJRCZIwqA6LCr1MIjKdDSSZ3y24CWbJaD9iemLgSY5MYLnhXkcSY8681pBR/o0WNEXQd4pFJhxAZgaDXM5gqF8mrlMWkLLW6xkwFMmPMqcYzo/ZViGQ+BeoMasPoDtoZbkeAI7j8ZcBxeCYuuoaMJjEgNdiFyWCKk5gkAmPfgWgKdrIqY0JKnkVgONxkERj8Y81Ft2SIGnp99sMoRUYpMHESk6rElJl9k1KtqxfIEzVG0Gi9lgYDhMgIBL2BWtKxq2QxpaVkx8mMyv1RY9szA2VG6S85la+DEJQOYWUpG1Fn+FHu8xRlUS+Y1Rc3IDMoUmVUmrCLdtQvo6a7QmQUcVGEJlRfTLjLswgMztEoMBjbKoypEWObeiPmXq3EGGOvTWI8Pc9uDFk51brO4neixgh6RJGpZvalpoQQGYFggIaYaiUzcc8MOarOjI++SJQry2jiKsAxdUalditCAwXE0VoQOjyhxotrqTSG1DCh0edjkxs1Hb0n7MkJrtPMC4kLYMgLm5F5Wjl7vJgCE7YZUIZeRVaioaRIwTsTMoobe2OVe+33wYzTzb11hJQEgh6AmH3TIURGIBhAWUxJZMasX4sywyQFhl9HFXULw1PKN4MHONSYuDoDEsOVfimjOl1z522HPTT4Z1QaJjiayPApBIpMeJ3mjJNgHvumV61NXIzyYpMXpcQwvdKkRa0RJzCRKr1BzRioL7Yak0JiYmpLzebe1CwlUWMEPQ8x+6ZDiIxA0N91ZSr6ZVRKNgriVSMznF7NY5W9xMV7mXyE+dEmDMV5SlqdsQlNXKHhWjFc60V1fOJGkVreZgKj1RrzsI7rTCA4hrQYhEZfNT+JvJj2jeY1iIsiJ34QRrK9MEmhJNN2IE5iTBdrdexQjanN3Jvw9nWBxAgE9UIUmXQIkREI+sn4W8kvE20s2TUyAxXG9s0g1GTMwxmQFq3gYDlCUIbQ4B9q0ICgqFaT6Katxkh1xhgwJMdMm3mxG1MGlXQeJzIhcTHr2OTFqC7GB2M7ZWwVxu6blGrqjaVYp5OYbvpiKkDUGEG9UH3Iqq/TjBAiIxD0NnqYzMRryqSRGaRL274ZJioxdQbeGdAaJjUBoVFVgRWlcYOwk01qbCKD41UkM5ErD4mKuv5wWpEVM786gYmoLzrrKE5iggaQvUBianrfk2YLiRF0AZK1lI5KtasGNL7++mvabbfdaPjw4bTgggvS3nvvTXPmzKm4TXt7Ox144IG0yCKL0LBhw2j77benL774IrLORx99RFtttRUNGTKEFltsMTr66KOpWCwGy//617/SL37xC1p00UX52BtssAE99NBDvXadgsZBxQdU2UOtWnXY6EPWzOMHsNEv7FonCJtAefCLeqzK7pfir2GG9Tuo4LdrT0nYPBEm2QJ1UMHB0KkG6uSU5k6nwI0XsVYHLytw8bkOnq/G/JpK1IF1UgZebm2j9tEZ7BvjDqeDj9fhtPPxzbnY52leBwNfo7o+9Vrdh6ABZErF3u6QGPHFCPqjjky1oRnRsIoMSMxnn31GjzzyCBUKBZo0aRLtt99+dPPNN6duc/jhh9N9991Hd9xxB40YMYIOOugg+vWvf03PPPMMLy+VSkxiRo0aRc8++yzvf4899qBcLkdnnnkmr/Pkk08ykcE0CNT1119P22yzDT3//PO0zjrr9Nn1CwaDX6ZaJlN6G4N4mClQW1JDTR63NVBfdOXhJjzCoccg5ITXKJNnwk7Baygx2jysTMU6A4qr+9pZUcnXb9QWfu2ED36jrpj7YJbF1Zcw6bqyApNm6FX3Mc3gGzX2mvk9SWIEgu5APDLpcPy4E68B8NZbb9Gqq65KL7zwAo0dO5bnPfjgg7TlllvSxx9/TEsuuWTZNrNmzWIVBURnhx124HnTp0+nVVZZhaZOnUrrr78+PfDAA7T11lvTp59+Sosvvjivc9VVV9ExxxxDM2fOpHw+n3g+q622Gu2888500kkn1XT+s2fPZiKlypk1Z5OvwYyKRKastkyUvIRkxJ7PAR29uZlvpuGDca0u2Oq1mW+2ARkx/hezzJAU9VqFrBBaMvtRgSRFYtQRY9OavMQJmFmehKBVgkUGbOKi5kfJi1lWjcAApspxkgoTzg9VGDWvb0iMqDGDFVy+kZ8xUOl7GuZ5MWnkbyjvtlRct9ProOu/urrXzmWgoiFDSyAeUEMMiQHGjx9PruuyMpKEl156iZUbrGew8sor09JLL837M/tdY401AhIDbLbZZvxBevPNNxP363kefffdd7Twwgunnm9HRwfvwx4EgxddDTGpbZN8GNEwiL1dEGryk0NN4UNbPdTTw03t/DoMOSHUowJCGJvpyODEwlBVBg4VRebp7eP71cczoa/gPPQ5JoWQVOdqFUYyobV4KImL3vUmienqZ0IgqAESWhpkoaXPP/+c/Ss2stkskwksS9sGigoIkA2QFrMNxjaJMcvNsiScd9557M3ZaaedUs/3rLPOolNOOaXGqxMM+hBTLS0MIubfcB27XUFZ0Tx14KgJmOzQkw5PWWZgVZrfqDcq5GSHqcJMJ6XYYB8qDKXCUVBoiIoRJSZMXKYalZlQdVHTSnkJXtvp0TEFxg4jmX1VUmGC/Vh+GLOOWWbPr6mjdbBCkz5FBH0CMfs2iCIzefJkrjtRaUA4aKAAYSoQlNtvv72MWNk49thjWeozw4wZM/r0PAWNZ/5NU2bMcrULUyLLqA6hOmOrD55XiC2zFZlQoYmrNKHqESo1RUudUZ2MlFqSqNhUGMy+1LZKdbH3j2PClGwblJMUmGCaombnNBUmjcRE7nlNJEZCSoK+hSgyDaLIHHnkkbTnnntWXGf55ZdnM+6XX34ZmY/MImQyYVkSML+zs5O+/fbbiCqDrCWzDcbTpk2LbGeymuL7vfXWW2mfffZh47AdrkpCS0sLDwJBPcpMefVfSqkAbKVs280mTYq22pkelVQKN6sxoUIDXYM9NCkqjTpd9fC21RqDpJYLFS/dIgJGcbHnG+UlMk+rL/a5pJl5o9tVDiVFISRGMDAhZt8GITIw42KoBqQ8g5DA9zJmzBie99hjj7FfZb311kvcBush++jRRx/ltGvg7bff5nRr7M/s94wzzmCSZBQWZEXBNAVzscEtt9xCe+21F5MZZDkJBD1X9bcCmQHidWbUSmqRY32ZxQhMPLMpidAo1UaZgnE8Eyqyw0qAITZQPlRoiWomNHFSYMJKan/lxEXdkWTyEl+3OoGpIZRUrydGSIygj4AALteGqrJOM2JAEZlagUyjzTffnPbdd1/OKoKJF6nUu+yyS5Cx9Mknn9Amm2xCf/rTn2jcuHHs+katmSOOOIK9NCAnBx98MJMXZCwBm266KROW3Xffnc455xz2xZxwwglce8YoKggnTZw4kS6++GImTcY709bWpjORBILu+GUqkJm0jtkJ6kzwfE0gNPbz1RAau1geHvogKEalMaTGkA5DbNTuog93Q3IqwRAW+/rC25FOXqLTlQlMfJ2+JjECQU9DPDKDjMgAN910E5MXkBVkK0FlueSSS4LlIDdQXObNmxfMu/DCC4N1kUmEjKQrrrgiWJ7JZOjee++lAw44gAnO0KFDmbSceuqpwTrXXHMNh7FAbjAYYL0bbrihT65d0HjoPTJDZaGmMnWGZwQ7shSYKAFiUhNTX0IFR8/XxCYt1dqzqg8nX2qpsvE3QiTSyUvy/HoJTHq13u6SGFFjBD0NfOSq5cn5Tfqxa8g6Mo0OqSPTvKivxkyFOjMJtWbi6yTVnElbp2xar2sfL9yfyVayT71Oj0yCP8UOM1UjL10hMPWrMLH1wpOrfG1CYpoMfVNHZocRv6GcU9lrWfA76M5ZzVdHpmEVGYFgUCozQC0GYJ6I+2ZqVGd4ZrDDyHSSSqP2ocJPalXLn6NJTJLSUvVeVFRB6iMv9vqRDLBqzR2FxAgaBCZHsdo6zQghMgLBQDMAJ2YzUcQTA5SHmsJ1Q35STmjMIfQKejrW4iA2L9xHlNzYy5IQJz3JlxslQckKShqhsbetpMCEy9WCyiRKSIxgoIHTq6t8xrwm/QgKkREIGoLM1KPOhOvapMcmI+FDv4JKY88LD2qdor2/tOssdVOVSSM15QTGXr9yG4E6VRi14wpXISRG0PsQs286hMgIBA1OZoBawk2VCI05XCQ1O67UGPIUIy422ailnkyaQlNrqEmhslITX6e3VBi1n2Z9fAj6XpGpvk4zQoiMQNCQZIbS1ZmUcFMaoeHpOPGxSUMFVab8esqJTngpVUJMFYmLfR3l+6tISqoSmPJ96wNUOd8mfWoI+gX4vFX7zPlN+pkUIiMQNAKZAaoQmlR1poJCk0xqkg8fnm+o2CSfbv2Ww2SzcDpx6RkFJmGb8GAVzlYg6HsU8ZumhnWaEUJkBIJGqQCcqM7UEG6qoNDY61dXagy6lqVUHQlEpSp5SdiuK9tED1rxLJv1V6+gf4FKKVUVGb85P5tCZASCAQLzJVV/qCk93FSbQmOQkGGU8L2YePgeQJqSU3soyOv6tuoEqp+jkBhBP0HSrxuk+7VAIKjhYVmxe1z51120s7OZ6SU8+NO3jadBVxvKT7n2bexjloeOYudoriNl+2rXZ51g8vzIvRASI+hnRaaGoSu4/PLLadlll6XW1lZuvRNvnmzj2muvpZ/85Ce00EIL8YCmyZXW7wsIkREIBiBqemh2kdD4VYhAlDCE+4kTjHTCUU5cyq+vlv2Un0P6OacQtpR7YZ2okBhBQ8BP+cv0rKErn9LbbruNexBOmTKFXn75ZVprrbW4fQ+aJyfhiSeeoAkTJtDjjz9OU6dOpaWWWor7FKK/YX9BWhT0A6RFgaBW1Nw5u2q8J/k3S2q6dE0tB3ryd1AVUbyCgTi94F7XfTDhvuXrUTAwWhT8rG1vyjr5iusW/U56fP4f6zoXKDDrrrsuXXbZZTzteR6TEzRVnjx5ctXtS6USKzPYfo899qD+gCgyAkGDp1zWpiwkqxKpYRhb9UgMQ9n77Imh9mNXUoJS91nzfbKPIyRGMPC+C6r9qwednZ300ksvcXjIAI2VMQ21pRagMTOaNC+88MLUXxCzr0AwWIzAFVO1DewHfKywXezhX6bWVEurrrVxZFfSs7trc6xDeBYCI2h0s+/s2bMj81taWniI46uvvmJFZfHFF4/Mx/T06dNrOq9jjjmGllxyyQgZ6muIIiMQNBBqfsjWpDxU/mqsrHwkbZCgpNSk7FQ+buXQUZWv9zoUGHVsITGCgYnKDjU/GACEhhCOMsNZZ53VK+d09tln06233kp33XUXG4X7C6LICASDVZ3hla0Hc00qDZBSmbcGMtOdFgXVUcd2dVr/hMAIBjo8PyQqldYBZsyYEfHIJKkxwMiRIymTydAXX3wRmY/pUaNGUSWcd955TGT+8Y9/0Jprrkn9CVFkBIIGRd0P35rViQr+larnVP03Y32o8zy6oMAIiRE0Akrk1TQAIDH2kEZk8vk8jRkzhh599NFgHsy+mN5ggw0oDeeccw6ddtpp9OCDD9LYsWOpvyGKjEDQLOpMXSqNDa//s5bS0MWkSyEvgkaDHTqqtE69QOr1xIkTmZCMGzeOLrroIpo7dy5NmjSJlyMTafTo0UF46ve//z2ddNJJdPPNN3Ptmc8//5znDxs2jIf+gBAZgaBZCU2XSM0AqCPajYoRQmAEjYreahq5884708yZM5mcgJSsvfbarLQYA/BHH33EmUwGV155JWc77bDDDpH9oA7NySefTP0BqSPTD5A6MoLeRt2EJnEnA+Sz2QNfUUJgBI1eR2ZM626UqVJHpuR30kvtN/XauQxUiCIjEAxC2A/uLpOaJALRF+SmB39bCYERDBZ4jkeOU1kF9Zq025IQGYFgkKPLYafEnQ18YiDkRTAYAf+L0wsemcEAITICQZOgR1SaAQwhMILBjFqy/nxRZAQCQbNgMJAaIS6CZgIoSnVFpjkhREYgaHLECcFAJjZCXgTNCvHIpEOIjEAgqEoW+oPcCGkRCEIUqcgumUooUZGaEUJkBAJBj5CKesiOkBSBoD6IRyYdQmQEAkGPQMiJQNB7kNBSOoTICAQCgUAwwAG1pRpR8YXICAQCgUAgGIjwqUR+lf5mPpWoGSFERiAQCASCAQ6lxkhoKQlCZAQCgUAgGOBQVXurERmfmhFCZAQCgUAgaIjQUuXMQF9CSwKBQCAQCAYiJLSUDiEyAoFAIBAMcJSoULXEgScF8QQCgUAgEAxESEG8dAiREQgEAoFggMPz4X9xalin+SBERiAQCASCAQ5RZNIhREYgEAgEgoYgMpUVF79JiUzlMoEDGF9//TXttttuNHz4cFpwwQVp7733pjlz5lTcpr29nQ488EBaZJFFaNiwYbT99tvTF198EVnno48+oq222oqGDBlCiy22GB199NFULCYbqJ555hnKZrO09tpr9+i1CQQCgUBgw/c98qoMvi9EpqEAEvPmm2/SI488Qvfeey89+eSTtN9++1Xc5vDDD6e///3vdMcdd9A///lP+vTTT+nXv/51sLxUKjGJ6ezspGeffZZuvPFGuuGGG+ikk04q29e3335Le+yxB22yySa9cn0CgUAgEMRDS9WGZoTj+37DlQJ86623aNVVV6UXXniBxo4dy/MefPBB2nLLLenjjz+mJZdcsmybWbNm0aKLLko333wz7bDDDjxv+vTptMoqq9DUqVNp/fXXpwceeIC23nprJjiLL744r3PVVVfRMcccQzNnzqR8Ph/sb5dddqEVV1yRMpkM3X333fTqq6/WfP6zZ8+mESNGEFGmqnlLIBAIBAMZeISW+BmDCEFPwzwvRrSuSo6TqXwmfolmtf+7185loKIhFRkQD4STDIkBxo8fT67r0vPPP5+4zUsvvUSFQoHXM1h55ZVp6aWX5v2Z/a6xxhoBiQE222wz/iBB/TG4/vrr6f3336cpU6bUdL4dHR28DzPgQxb+AcgggwwyyNDYA0iEGvcWvBr/NSMa0uz7+eefs3/FBrwqCy+8MC9L2waKCgiQDZAWsw3GNokxy80y4N1336XJkyfTU089xcesBWeddRadcsopCUua80MnEAgEgw3fffedVtp7B55fIKda1pIv6df9DhCE3//+91XDSv0FeGh23XVXJiUrrbRSzdsde+yxdMQRRwTTnuexWRmmY8cZOKElqEVLLbUUzZgxo2FlycFwDYPlOgbDNQyW6xgM1zBQrwNKDEhMkqWhp49T7cev33hOkcFHZI488kjac889K66z/PLL06hRo+jLL7+MzEdmEcgBliUB82HihUnXVmWQtWS2wXjatGmR7UxWE5bhw/riiy/SK6+8QgcddFBASvDhgTrz8MMP089//vOyY7e0tPBgI64MDSTgC2KgfEk08zUMlusYDNcwWK5jMFzDQLyO3lRiDGox8vpNqvIPKCIDMy6Gathggw2YkMD3MmbMGJ732GOPMalYb731ErfBerlcjh599FFOuwbefvttTrfG/sx+zzjjDCZJJnSFrCj8wcBcjO1ff/31yH6vuOIKPvadd95Jyy23XLfvgUAgEAgEyWGjyoqL36Tp1wOKyNQKZBptvvnmtO+++3JWEUy8UEiQSWTkvU8++YRTo//0pz/RuHHjmDGj1gxCPPDSgJwcfPDBTF6QsQRsuummTFh23313Ouecc9gXc8IJJ3DtGaOorL766pFzAeFpbW0tmy8QCAQCQU+hFpLiC5FpLNx0001MXkBWkK0EleWSSy4JloPcQHGZN29eMO/CCy8M1kUmETKSoKgYIJUaNWkOOOAAJjhDhw6liRMn0qmnnkrNAJA1ZGLFw2CNhMFwDYPlOgbDNQyW6xgM1zCYrqMrkNDSIKsjIxAIBAJBM8DUkcllFifHcasqMoXSF01XR6ZhFRmBQCAQCJoFosikQ4iMQCAQCAQDHGL2TYcQGYFAIBAIBjyq15GhKkRnsEKIjEAgEAgEAxyeXySnSm8+v0ktrw3Za0lQG1AgEF3CYfpCAT6kn8+ZM6fiNu3t7ZxujqrDw4YN4wwvUxTQALV30CV8yJAhnH5+9NFHc0FCG8gKO/7442mZZZbhDINll12Wrrvuuoa6BoNnnnmGCx6uvfbadZ9/f1/HX//6V/rFL37B9ZlwbGTjPfTQQzWd8+WXX87vG8oLoD5TvFhkHOgqj/5lWB89y+6///6yL1l0kl9iiSWora2N+56h5Ud379NAu44PP/yQzxt1pbD8+9//PmfaoCBnI11H/O8Zn39UIq+nQe5AuYb77ruPj4d1FlpoIdpuu+2o8eDVODQhkLUkGJzYfPPN/bXWWst/7rnn/KeeespfYYUV/AkTJlTcZv/99/eXWmop/9FHH/VffPFFf/311/c33HDDYHmxWPRXX311f/z48f4rr7zi33///f7IkSP9Y489NrKfX/7yl/56663nP/LII/4HH3zgP/vss/7TTz/dUNcAfPPNN/7yyy/vb7rppnweXUV/Xcehhx7q//73v/enTZvmv/POO7wsl8v5L7/8csVj33rrrX4+n/evu+46/8033/T33Xdff8EFF/S/+OKLxPWfeeYZP5PJ+Oecc47/73//2z/hhBP4OK+//nqwztlnn+2PGDHCv/vuu/1//etf/BlZbrnl/Pnz53frPg2063jggQf8Pffc03/ooYf8//znP/4999zjL7bYYv6RRx7ZUNdh45BDDvG32GIL7pCIz1ojXcOdd97pL7TQQv6VV17pv/3223zs2267zW8UzJo1i++7Q22+6wypODjUxutim2aCEJlBCvzh4wP9wgsvBPPwBes4jv/JJ58kbvPtt9/yF8Udd9wRzHvrrbd4P1OnTuVpPCxd1/U///zzYB18QQwfPtzv6OgIjoMvl//9738New0GO++8M3+BTpkypctEZiBch41VV13VP+WUUyqe87hx4/wDDzwwmC6VSv6SSy7pn3XWWYnr77TTTv5WW20VmQci+5vf/IZfe57njxo1yj/33HMj19jS0uLfcsstXb5P1dAf15EEPIzxgO0q+vM68DlbeeWVmQB0h8j0xzUUCgV/9OjR/h/+8Ae/UWGIDFGL7zitFQeili4Rmcsuu8xfZpll+N7hfXr++ecrrn/77bf7P/jBD3h9/Ji67777/P6EhJYGKaZOncrS/NixY4N5kF1REPD5559P3AYtH1BIEOsZQNZdeumleX9mv5B47S7hKCyIWgdvvvkmT//tb3/j46I68ujRo7nB5lFHHUXz589vmGsArr/+enr//fc5LNAd9Pd12EAbD/QMQ3XrNCAEguPbx8a5YtocO+ka7fXNuZj1P/jgA66Uba+D2hiQ++3rqfc+VUJ/XUcSUNej0j0fqNeBUCYqqP/5z3/m8GVX0V/X8PLLL3OVdxxrnXXW4RDUFltsQW+88QY1HnontHTbbbdxxXt8z+F+rbXWWnyf4/0MDZ599lmaMGECh0/RdxBhOgz9eU+FyAxS4A/c9IsygM8DX6ZYlrZNPp8va2iJB6XZBmP7wWmWm2UAHv5PP/00f7Dvuusuuuiii7gX1W9/+9uGuQbE2dGN/f/+7//4mN1Bf15HHOeddx57TnbaaafU8/3qq6+403vSviudb6X1zbjaOvXep0ror+uI47333qNLL72UfvOb39R9Df15HVDs0cR3//33j5DLRroGfBcBJ598MrebQeV2eGQ23nhj9mM1Fny8KZUHqt/se8EFFzBZnTRpErfoQdsfkNY0T+PFF1/MLYLgx0O7oNNOO41++MMf0mWXXUb9BSEyDQY8XGG4qzRMnz69X88Rv/pxHmgjgT5XW265Jf+x3HjjjazKDPRrwBfurrvuSqeccgqrSWkY6NcRx80338zXdPvtt5cRBkHvAGoAvvR33HFHflg0EkC+oN4de+yx1KjAdxGAxAOY5dE8GEor/jZhJG4s+FzwrtJAmshAlbUHmLX7SinrD0j6dYPhyCOP5F9JlbD88svTqFGjyqRBZLPgVwiWJQHz8cFGZ3FbCYC8bLbBOJ5pYDJpzDqQbxFSslvbg7njF97HH3884K8BX94vvvgiy6bo52W+EHH+UAgefvhh+vnPfz7gr8PGrbfeSvvssw9/ece/hOIYOXIk9x2LZ0jZx04630rrmzHm4fNhr2OywbpynwbidRh8+umn9LOf/Yw23HBDuuaaa+o+//6+jscee4wfTvG+RlBnkFmGHyYD/RrMfCgNBrge/F0i468RAGUW11qrKjls2DBaaqmlIvMQNoIqVY9SlvYjrJpS1i/oV4eOoNdgjJPIdjFAFkUtBlO4/A2mT5+eaDC1Mw2uvvpqNpi2t7cH021tbf53330XrIOsAmw3b968AX8NMCEiM8IeDjjgADa34fWcOXNqvob+vA6Dm2++2W9tbeX3oFbA8HfQQQcF07gnME1WMmZuvfXWkXkbbLBBmTHzvPPOC5bDkJhk9q3nPg3E6wA+/vhjf8UVV/R32WUXzi7rLvrjOv773/9G/gbwXuD9wWdyxowZDXENZto2+3Z2dnIWGf5WGgXIwsK11DJ8++23ZfPs7wMb+LvCe4qsUhtHH300v19JwPcSvlNsXH755XxP+wtCZAYxkMq6zjrrsAMdqc/4YrVTWfFli4ez7VBHyu/SSy/tP/bYY/xAwRcHhnjKL9KRX331Vf/BBx/0F1100UjKLwjM9773PX+HHXbgTId//vOffOx99tmnYa4hju5kLfXnddx0001+NpvlL5rPPvssGPBlVy1VFg+AG264gQnGfvvtx6myJkNq99139ydPnhxJlcVx8FBBdhXuV1KqLPaBdOTXXnvN33bbbRPTryvdp3rRH9eB9xJp45tssgm/tu97I11HHCij0N306/64BpQgAGECEcOPgb333psful9//bXf7Ojo6OAU97vuuisyf4899uBU9iSgJMSFF14YmXfSSSf5a665pt9fECIziIH0ZzwEhg0bxr/SJ02aFFFJzBfT448/HszDF8Bvf/tbrrswZMgQ/1e/+lXZF/CHH37INSWguqBuCepjIM3RBr54UN8E64DUHHHEEXWpMQPhGnqSyPTXdWy00UbGARgZJk6cWPWcL730UiZSqP2BX2eo7WLvN74PpGSutNJKvP5qq61WlpKJX9Annniiv/jii/MDDQ961PWo5z51BX19Hddff33iPe+uAN4f70dPEpn+ugYoMPi7AHlZYIEF+HvpjTfe6PI1DDaM62GlrD/g4L/+C2wJBAKBQCDoL9x22200ceJEuvrqqzk5A1mmSAiARwbelz322IM9j2eddVaQfr3RRhvR2WefzVXF4b8788wzOXV79dVX75drELOvQCAQCARNip133plmzpzJrR5g2IVR+sEHHwwMvTBFI5PJAOZ1ZEAinf24446jFVdcke6+++5+IzGAKDICgUAgEAgaFlJHRiAQCAQCQcNCiIxAIBAIBIKGhRAZgUAgEAgEDQshMgKBQCAQCBoWQmQEAoFAIBA0LITICAQCgUAgaFgIkREIBAKBQNCwECIjEAh6BBtvvDE5jsPDq6++2q19oau42ReKbQkEAkEahMgIBIIew7777kufffZZt6t8XnzxxbwfgUAgqAZpUSAQCHoMQ4YMoVGjRnV7PyNGjOBBIBAIqkEUGYFAkIhbbrmF2traIsrIpEmTaM0116RZs2bVFXI6+OCD6bDDDqOFFlqIe7hce+21NHfuXN7fAgssQCussAI98MADvXQlAoFgMEOIjEAgSMQuu+xCK620Ene2BaZMmUL/+Mc/mHDUq5bceOONNHLkSJo2bRqTmgMOOIB23HFHbkCHrrmbbrop7b777jRv3rxeuhqBQDBYIURGIBAkAkbbM844g9UTjC+99FLuijt69Oi697XWWmtxt1x0yj322GOptbWViQ08NZiHzrv/+9//6LXXXuuVaxEIBIMX4pERCASp2HrrrWnVVVelU089lR5++GFabbXVurQfhKMMMpkMLbLIIrTGGmsE8xBuAr788sseOGuBQNBMEEVGIBCkAgrM9OnTqVQqBWSjK8jlcmVqjz0P04Dned04W4FA0IwQIiMQCBIB78pOO+1Ef/zjH2mTTTahE088sb9PSSAQCMogoSWBQFCGDz/8kLbaais67rjjaMKECbT88svTBhtswOTmhz/8YX+fnkAgEAQQRUYgEETw9ddf0+abb07bbrstTZ48meett956tMUWWzCxEQgEgoEEUWQEAkEECy+8MPti4rjvvvu6tL8nnngiUfGJw/f9Lu1fIBA0N0SREQgEPYYrrriChg0bRq+//nq39rP//vvzfgQCgaAaHF9+BgkEgh7AJ598QvPnz+fXSy+9NOXz+S7vC2nYs2fP5tdLLLEEDR06tMfOUyAQDC4IkREIBAKBQNCwkNCSQCAQCASChoUQGYFAIBAIBA0LITICgUAgEAgaFkJkBAKBQCAQNCyEyAgEAoFAIGhYCJERCAQCgUDQsBAiIxAIBAKBoGEhREYgEAgEAkHDQoiMQCAQCASChoUQGYFAIBAIBNSo+P9euzAvxjzjFwAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6, 3))\n", "im1 = ax.pcolormesh(xv, yv, intensity_input, cmap='inferno')\n", "ax.set_aspect('equal')\n", "ax.set_title('Intensity of the incident wavefront')\n", "ax.set_xlabel('$x$ [m]')\n", "ax.set_ylabel('$y$ [m]')\n", "fig.colorbar(im1, label='intensity')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creating nonlinear element using `svetlanna.elements.NonlinearElement`\n", "\n", "In this section we will create a nonlinear element with determined intensity response_function:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "nl_element = elements.NonlinearElement(\n", " simulation_parameters=params,\n", " response_function=response_sigmoid\n", ")\n", "\n", "transmitted_wavefront = nl_element.forward(incident_wavefront=incident_wavefront)\n", "intensity_output = transmitted_wavefront.intensity" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6, 3))\n", "im1 = ax.pcolormesh(xv, yv, intensity_output, cmap='inferno')\n", "ax.set_aspect('equal')\n", "ax.set_title('Intensity of the transmitted wavefront')\n", "ax.set_xlabel('$x$ [m]')\n", "ax.set_ylabel('$y$ [m]')\n", "fig.colorbar(im1, label='intensity')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '$intesnity$')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6, 3), edgecolor='black', linewidth=3,\n", " frameon=True)\n", "\n", "ax.set_title(\"Intensity of the transmitted wavefront along x-axis\")\n", "ax.plot(xv[int(Ny/2)], intensity_output[int(Ny/2)], color='red', label=\"transmitted wavefront\")\n", "ax.plot(xv[int(Ny/2)], intensity_input[int(Ny/2)], color='blue', label=\"incident wavefront\")\n", "ax.legend()\n", "ax.set_xlabel('$x$ [m]')\n", "ax.set_ylabel('$intesnity$')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Training the parameters of the response function\n", "\n", "If it's necessary to train parameters of the response function, you can pass them into nonlinear element `__init__` method using `Dict` and `Parameter object`. Parameter of other types can not be trained." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "def arbitrary_function(x, parameter1, parameter2, parameter3):\n", " return parameter1 / (1 + torch.exp(-x * parameter2)) + parameter3 - 150\n", "\n", "nl_to_train = elements.NonlinearElement(\n", " simulation_parameters=params,\n", " response_function=arbitrary_function,\n", " response_parameters={\n", " \"parameter1\": Parameter(100.),\n", " \"parameter2\": Parameter(40.),\n", " \"parameter3\": 100.\n", " }\n", ")\n", "\n", "output_field_to_train = nl_to_train.forward(incident_wavefront=incident_wavefront)\n", "intensity_output_to_train = output_field_to_train.intensity" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6, 4), edgecolor='black', linewidth=3,\n", " frameon=True)\n", "im1 = ax.pcolormesh(xv, yv, intensity_output_to_train.detach(), cmap='inferno')\n", "ax.set_aspect('equal')\n", "ax.set_title('Intensity of the transmitted wavefront')\n", "ax.set_xlabel('$x$ [m]')\n", "ax.set_ylabel('$y$ [m]')\n", "fig.colorbar(im1, label='intensity')" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '$intesnity$')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6, 3))\n", "\n", "ax.set_title(\"Intensity of the transmitted wavefront along x-axis\")\n", "ax.plot(xv[int(Ny/2)], intensity_output_to_train[int(Ny/2)].detach(), color='red', label=\"transmitted wavefront\")\n", "ax.plot(xv[int(Ny/2)], intensity_input[int(Ny/2)], color='blue', label=\"incident wavefront\")\n", "ax.legend()\n", "ax.set_xlabel('$x$ [mm]')\n", "ax.set_ylabel('$intesnity$')" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.4" } }, "nbformat": 4, "nbformat_minor": 2 }