{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Determine the potential of a pair of equal and opposite charges $\\pm 2$ esu located at the 3-dimentional \n", "positions (4,5,0) and (6,5,0) and plot equipotential contours for 60 values of the potential varying between -1.50 and +1.50 esu/cm shown in the $x$-$y$ plane with $z=1$." ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "# specify size of region:\n", "Lx=10.0\n", "Ly=10.0\n", "# introduce two point charges:\n", "x1=4; y1=5; z1= 0; q1= 2 #position of charge #1\n", "x2=6; y2=5; z2= 0; q2=-2 #position of charge #2\n", "\n", "# create a 2D array in NumPy for the potential with N elements in each \n", "# direction and set its elements initially to zero\n", "Nx = 200 #nunber of points on our x-axis.\n", "Ny = 200 #nunber of points on our y-axis.\n", "phi = np.zeros((Ny,Nx))\n", "X = np.zeros(Nx)\n", "Y = np.zeros(Ny)\n", "Dx=Lx/(Nx-1); Dy=Ly/(Ny-1) # find spacing between the points in x and y\n", "z=1 # choose to work at fixed z=1\n", "for nx in range (0,Nx):\n", " X[nx]= Dx*nx\n", " for ny in range (0,Ny):\n", " Y[ny]= Dy*ny\n", " phi[ny,nx]= q1/((Dx*nx-x1)**2+(Dy*ny-y1)**2+(z-z1)**2)**0.5\n", " phi[ny,nx]=phi[ny,nx]+ q2/((Dx*nx-x2)**2+(Dy*ny-y2)**2+(z-z2)**2)**0.5 " ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "image/png": 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cy/MHBVFUSTyVIDyfatXYI6xaNXpnjhyx+yWzJKwMBsNYg8FwxWAwBBgMhg0G\ngyHLOb1377IH2fHj3CZ97bWsnlEQXJ8mTbgwmz2bSR1aFuv84APulLlkwdDz59nQ8Y03tLPhwQPu\nARctSjdloULa2SIIzkDOnKw5t2IFGwh//rld+3BZLawMBsOLAD4A4KOUqgUgO4DeWTFm/35619u0\nYTxVyZJZOZsguBeVK3NhduQIMGQIPb9a4OvLOEiXLBi6cCHjmLQK9Lx1C2jWjDWqVq6UtGhBsIR2\n7RhXdOwY//zggV0uk9WtwBcA5DEYDC8AyAvgrjUnMZkYKzJgALP/pkwBsmfPomWC4IZ4enKBEh4O\n9OgBJCY63gaDgaE/Cxc6/tp2JSIC2LaNqlULAgKA5s25Dfn55xKkLgjWULIkB8lXXqEn58QJm1/C\namGllLoDYA6A2wDuAXiilPrd0vM8fsyYsr172ST+1VettUgQBIAdCHbuBHLl4la6FoHkfftyOz88\n3PHXthtr1gBdulC9OpqzZ1lbY/Zs4P33HX99QXAlsmenN2fJEsYqLlhg09iFrGwFegB4HUAFAKUA\n5DMYDG8/53VDDQaDv8Fg8H/0r4I7V6+ySGqFCmz5U6qUtdYIropSQFISY3VjYijEY2IoFhITXTSO\nxwbkzMkWWhUrstxSTIxjr58vH5vPL1/u2OvaDaWYGTBsmOOvffIk0LkzP8w+fRx/fWfBaGTTyqdP\n2VTz8WP+OS5Ou31xQd906sQOBStXAv37AwkJNjmtQVk5MxkMhh4AOiilBv/99/4AGiulRqT3Hh8f\nH+Xv7w+AWUxDhrCVVf/+VpkgOBkmE7e0w8J43LsH3L/PIzKSR3Q0x8KnTzlGJiUxnCVHDpYXyJaN\nc5zRyLEyOZmembx5WUepQAF2GClalI6FYsUo2EuWBMqWZZa8p6f77KKYTMw4/vNPeoULF3bctS9e\npB746y8HbO0bDPZV2UeO0FN0+bJjb56jR4G33mKaZYcOjruu1qSk0N0ZGsqf9+7xePSIW7KRkVwt\nxMRwsEhI4KCQKxdvttQbzmTivycl8e+5c9OlW6AAg/6LFEkbLEqU4FGqFAeLMmUkMcBdiI+nIAkO\nZjmV0qX//38ZDIZzSikfS06XlQjM2wAaGwyGvAASALQG4J/Zm5QCvvySHrjdu+mxElyLyEg2Gg8M\n5HH9OhASwgm2YEGOWaVLc/wqUYIFLj09OcZ5eKQJpLx5OQ5my8CvajJxzExdqMbEAFFRaULtwQOG\npvz+O5O5QkMpxipVAqpUAapWBWrWZDXzatVcr1dttmwsczRmDNC2LQPKCxZ0zLVfegl48UUKuk6d\nHHNNu7FsGTB0qGNFlZ8fRdWNoO9/AAAgAElEQVTGjdwGdEUiIjhYXLkCXLvGwSI4GLhzh6uicuXS\nBouSJYE6dSiEihblKqFAAR558nD1ldH3k5JCARYbm+bVio7mQPHoEQeLkyeZmn77No+cOTlYVK7M\nwaJaNaB6df7Mlctxn5NgX/LmpYt/9mygUSNgyxamWluJ1R4rADAYDFMB9AKQAuBPAEOUUknpvb5+\nfR9Vtao/QkIYAypZf86NUhRL/v7MQv/zT+DSJXrea9ZMG4O8vTk2VazI+1drnjxhW7XgYJYBCgjg\nmH7zJm2sW5cxjY0aseyJK9RQU4oOl4sXKXTy53fMdVesYLzXtm12vpA9PVZRUbwxbt6k+ncEp08D\nXbsym6dNG8dc0948eMBYsbNnOWBcuMDBokaNtNWNtzdXPOXLU9RoiVIUfiEhHDCCgjhQpA4WFSpw\n9fDyyzzq13esS1iwD3v2AAMHssl6375WeayyJKwsJX9+H9Wpkz9Wr3aNycrdSE5Oy1Q9eZJjf/bs\n9DrWr8+xpU4detCdcastKYlj5p9/UiyeOcO/167NZKwWLXg46+6AyUSnS0gIvcWOELlPn9JDee0a\nvZN2w57CauFC3uzr19vn/P/m3DlmHaxezQA5Z+XmTQbP+vnxiIqie7phQw4YdevSI+Wsg0VQEFcq\n587xuHCBg1+TJmyj4utLQe6Mv5+7ExDARJX+/WGYNk3fwurFF31UWJh/hls7gn4wGrmwPHiQPV7P\nnOFiskULjhuNG+unB629SEjgAvvYMYa7nDlDodW2LUNeGjZ0rtIgJhMXYxERwPbtjimDNHgwd1Em\nTrTjRewprOrWBb79ln2D7E1gIIt/LlnCdGlnIiaGA8XevfyZkMDPrEULrkyqVct4X9/ZSUlhDN6p\nU0yJPXqU//7qq9zKbdPG9QdMV+LhQ2DmTBjmztW3sPpn8LqgTyIi2Lvyt98Yl1S8OMeDVq24AHN3\nT3dCAr11+/Zx/rh7F2jfnhm7HTo4bostKzx7Rns9PFhBwN5z3fHjTKYLCLDj4t1ewuriRW7J3bpl\n/w8qLIzFP6dPd56Mnlu3uM+7fTu9Nk2b8oFo25bbe+7srVGKXruDB3kcOsS4sQ4dGHTYvLkUeHUC\ndL8VKMJKn4SGAlu3cny8cIGLq44d+fzLAitjwsOBXbv42Z08SQHapw+9yHqIJ0uP+HgWHm7QgM4Y\ne85/SjH2d9MmwMei4ckC7CWsxo1j7Yjp021/7n8SGcmJdvBgYPx4+14rq4SG8svcuJEPQNeubPHT\nqpW+b3qtSd0C+O037sUHB3Og7daNP/Pl09pC4TmIsBLMJiyMY+PmzVx0vv46n+/WrV0vM85RPH5M\ngbVhA7cMu3al4+HVV/W5XRgdzV2agQPtP5dPnUpvqN2qsdtDWKWkMCPNz4974PYiIYEPXvPmwKxZ\n9rtOVnj8mIPF2rUMmOvenSuIFi30eXM7A3fvMrNj61bG8LVtC/TqxRolEoSsG0RYCRny5AnHxnXr\nuC3TrRuf45YtxSNtax484IJ+7VrW6frPf+iMKFdOa8v+l7AwxtrOnw+8+ab9rhMSwg4S4eF2utfs\nIaz27qUiPHXKtuf9JyYTK6lmy8YMQD3FICnFOKGlS+lhadcOeOcdurK1zthzNSIjuSrbuJGZM127\n8rNu1Upf94QbYo2wkm/MxVGKiTn9+nFS37sXGDuWi6Xly7lIElFle4oXZ0s3f39+5o8fM2uyc2fG\nrumlYnyZMizW+957XDTbi0qVeOzfb79r2Jx16/jg2JNPPuHDuHq1fibQp0+B775jrZSRI5mlcusW\n8PPPnPBFVNmeokW58tq/ny1J6tUDJkxgSYf//pd1bQSnQTxWLkpEBLBqFRebuXOzqGy/ftq0ORNI\nfDy3CefPZwD5qFHchtNDWMquXcC779I5U768fa7x/fcMZP/pJzuc3NYeq7g4Vje9fp0Bx/Zg+XJu\n/Z06pY8H89Yt1u5Zt46ekg8+YDC9Owega82FCxzI169nQOTQoQzgfCErtb0FSxCPlYDz54FBgxgS\ncuUKt6IuXaL3RA9jtzuTNy8XpRcvAosX03NVoQJ3myIjtbWtc2fgo48YgxwXZ59r9OjB2ntaNIW2\nmO3buXdpL1F14gS9Vbt3a/9gnj/PmIAGDXiTXrhA71Tz5iKqtKZuXa7EwsK4Mp49m7WxvvqK1eIF\nXSLCygUwGjkP+PoybqpaNSacrF5NL76MjfrCYOB3tW0b62OFh7Pg9Cef0NOoFaNHcxwfNMg+W5Ve\nXozn2rnT9ue2ORs32q/hcVgY0LMn8OOP/OK1IjWWp2vXtO2+r76SVGA9kicP8PbbTD3eto2V4L29\nWcckMFBr64R/IcLKiUlKYsuQGjWAL74ARoxgkPBHH2m/CBbMo2pVtqE7f56Fqb29gY8/ZsaeozEY\n6EkLDQVmzLDPNXr2ZBsuXfPkCYO2u3a1/bkTEugWHD1au6bK58+zsnu3bgxIv3GDgZcFCmhjj2AZ\nL7/MgT8oiH3hfH15r9ozyUKwCBFWTkhCAkMhKlWix37JElYH79VLtt6dlXLlKGouXqTXytub4iY+\n3rF25M7N5u7ff2+fQPPXX2dRbl1vB+7YwVRZe/Quev99qukJE2x/7swIDqay7dyZBSpv3KA9Ul/F\nOSlWDPj8cwa2d+gA9O3L+/bgQf1kx7gpIqyciH8KqmPHOP7v3ctnSbb7XIMyZejBOnGCPQurV2fc\nqsnkOBtKleI1+/fnNqUtKVKExbl37bLteW3K5s0MCLM1q1dzK2fpUsc+sFFRLFTWpAn3eoODme2X\nK5fjbBDsR5483K64fp1BnCNGMD7uwAERWBohwsoJSE6mN6NyZe5Q7NnDmnIvv6y1ZYK98PamN3Ld\nOsauNmrEoqOOomVLJoX16sUMRlvy1lvAL7/Y9pw2IyaGD1mXLrY976VL9FJt2eK4vkdGI12P1aox\nIyEggIF8UuHbNcmRg7Wvrl4Fhg+neG7VSrYINUCElY4xmRhDW706t2e2bePPunW1tkxwFM2bU1B9\n8AFDc4YOdVwG4UcfsTfkJ5/Y9rxduzIjMiHBtue1CXv28EO35TZgbCw9YHPnsn+eIzh9mll+mzez\nR93ixUCJEo65tqAt2bMzg/DKFQqtXr340F25orVlboMIK53i58dEnTlzWO5m3z6Ok4L7YTBwfLx2\njeEwNWvSk2VvL3+2bExc27DBtvFWnp7sGbhvn+3OaTO2bmW7FlsyejT3P99+27bnfR4xMYyb6t6d\n23+HDwO1atn/uoL+eOEFtny4fp0u6Fdf5crs/n2tLXN5RFjpjNBQxpe+/TYwZgyD0l99VWurBD1Q\nuDCwYAHLFcyZA7Rvzwx5e1K0KEODBg60bSmIbt3ogdUViYl0pdkyG3DLFgZELlhgu3Omx/btVN3J\nyfRO9OsnwZcCV2PjxjGLsEABCu2vv2ZauWAXRFjphIQE4LPPGDdVqxa9E3376qfLhaAfGjQA/vgD\naNMGaNiQHk17eq/atGFJpyFDbHed119nAHtKim3OZxMOHQLq1GHBLVsQFsY4l/Xr7RtX9fgxMw0+\n/JDXWroU8PCw3/UE58TDA/jmG8Zc+flxotm9W2urXBKZtnXA7t1caF69ykywTz/VR5sTQb/kyAFM\nnMidnu+/Z/b8vXv2u96XX9Kbuny5bc5XpgxQtiyzH3XDjh1UfLbAZKKb74MPqH7txe+/A7VrU7hd\nuAC0aGG/awmuQZUqdHsvXMj6Zd268eEWbIYIKw25exd4801u+S1ezCywsmW1tkpwJmrVYnB7gwb0\ndu7ZY5/r5MrFuK5PPrHdGNyli44WzErRhWarbMAffmARskmTbHO+f5OczCzDwYPZS+777yXbT7CM\nDh2Ay5eB+vV5zJmjMxey8yLCSgNMJgqpl15i1fTLl1kAWRCsIUcO9hvcvJlZ1uPGcd61NTVr8tyD\nB9tmS7BzZx21t7lwgW5iW7SYCQnhvv7q1czQsjUhIQyGDwqii7tNG9tfQ3APcuUCpkzh6mzvXnpX\nz5/X2iqnR4SVg7l1C2jdmmPu4cPA9OlS+FiwDc2bc54NCeGO0O3btr/GhAlMPFu2LOvnql+frXtu\n3sz6ubLM7t1s85JVTCYqz48/ZoV1W7NtGwt9vvMOg9Wld5VgCypVYupvaqulKVMkuD0LSAMUB2Ey\nsfXMp5+yPtDYsfZZzLobKSnAw4fMII6I4BEdzcn/6VPuxiQl8TCZ0jwtOXIAOXNywZY/P5NlChVi\nZfCiRYHixVmBvHBh50qsKlKEc+/s2Vx8rlnD7EFb8cIL3Hlq2RLo2DFr/XqzZeM5fvuNMd6asmcP\n3X5ZZfFi3mxjxmT9XP8kJYX7sJs20c3XqJFtz+8IUh/Wu3f5oEZGsir806c84uLoak1OZnFTgA/f\nCy/wQc2dm9udBQvyKFqUh5eXcz6sesNgAAYM4PbJe++xJsqaNVKJ2goMyoEl7318fJS/v7/DrqcX\n7twBBg1ib9c1a1gIWTCf6GjuegQFsSTLrVtsjxUaynG6aFH2IvXy4gK+cGGKpAIFuLuTKxdF1D+F\n7LNnPBISOJ7HxjK5KjKSx4MHDAZPSmLcW/nyPLy9eVSrBlSsqG9xfOwY0Ls3yxmNG2fbOWf6dODc\nuayXTNi8mc9ElmOtDAbr9ycjI4EKFYBHj7LW5uXuXe7vHz3KPX5bER3NL1Ip4Kef9O2lio9nFs71\n6zxu3ODD+tdffKg8PdMe1qJFuRIoWJCrm3z5+PnnyJH2YClFQZa6OoqL46rpyROKsoiINLGWnAyU\nLp32sFaqRK+htzcDtnPm1O5zcTaUYobpuHHAqFH0wLppI1qDwXBOKeVj0XtEWNmXX35h66aRI7ng\ndNN70yyU4vjr789J++JFxp/FxFDIpI6PFSty3CxXjmN0jhz2sykujgIuVcwFB1PgXbvGebhGDVbC\nb9CAC7zate1rj6Xcvs2K7bVr02Nqq23npCRqiFmzspZIFx3N7/HhwyzalhVhtXEjJ5GsBnz17s2b\nc8aMrJ3nn1y7xrpanTvTDamnAeTxYz6sf/zBn5cucRVZpUraA1u5Mh/WChXoVbKn/bGxbG751198\nYG/epLgLCuJDXKkSH4R69dICtgsXtp89rsCdO/RiJSQAa9fy/nYzRFjpiPh47gYcOsQx2xk99/Ym\nJYVxkkePMu3+5EmOuw0acMyrV4/jYLly+vTwx8Sw/dqff3JeOXuWQqZRI8Y7tWrF6vlaC634eBZg\nDg2ldrCVw+PwYVYUuHIla2WamjShByxLMdhZEVaDBvGGe/9966+/bx9XUJcv265WysGDLCD29df8\noLUmMpID2pEjrIN06xYf0tRVxUsvUVRpfcM/j8REIDCQ4u/8ea7cLlygO/qVV4Bmzbi/Xa6c1pbq\nD5MJmDcP+Oorlmjo3VtrixyKCCudEBDA9kz16jELumBBrS3SB0px8fj77zyOH2eMTsuWTHJq2jRr\nMTt6IDqaIvHYMc6LN27w9+rYkbWmtFrwKQVMnsxC4L/9xsW7Lejfn/Fos2dbf47PP6dnMCvnsFpY\nKcXtoyNHKAqsISGBK4CFC/lF24K1a1nwc/NmwNfXNue0lJQUFpPcs4cPbHBw2oqheXMOcHoUUeaS\nkkKhdfIkheKRI9yObNWKcUZt2nCrUiDnz1PoN2/OTgJuUmzRGmEFpZTDjvr16ytX58cflSpaVKmV\nK7W2RB8kJSm1b59S77+vVLlySpUpo9SQIUpt2qTUw4daW2d/IiKU2rxZqUGDlCpeXKnq1ZWaPFmp\nP/9UymRyvD2LFytVooRSp0/b5nwPHijl6anUlSvWn+PkSaVq186iIYB177t8WakKFbL2ZXz2mVJv\nvWX9+/+JyaTUtGlKlS+ftQ/VWhISlNqxQ6n+/ZUqUkSpunV5w/r58WF2ZUwmfuYLFijVqZNSBQoo\n1aSJUl99xX/X4oHVG0+fKtWvn1K1aikVFKS1NQ4BgL+yUOuIsLIRCQlKDRumlLe3UpcuaW2NtiQl\nKbVzJ8dmDw+lGjdWasYMzmHuPDYZjRQ0EyZwLq9SRampU5UKCXGsHbt2KeXlpdTBg7Y537x5SrVr\nZ/13++yZUoUKKXX/fhaMsFZYzZun1NCh1l83NJQCJDTU+nOkYjQqNWYMxcy9e1k/n7mkpCh16BDV\nf+HCSvn6UlyEhTnOBj2SmMhV4ciRXBFWrarUlCkc4N15IDOZlPrhB66ofv5Za2vsjggrjQgPV6ph\nQ6XefFOpJ0+0tkYbjEaljh7lHFW0qFLNmik1fz4/G+H/YjJRZI0cSZHTtCm9nLGxjrn+kSO87q+/\nZv1cyclKVatGwWYtXbsqtWFDFoywVlh16ZK1C/ftq9R//2v9+1N59kypgQPpIYmOzvr5zCEkhEKh\ndGmlXnpJqTlzlLpzxzHXdjZSH9jx45UqW1apmjW5WvzrL60t044//qBn9aOPKM5dFBFWGnDihFKl\nStFb7I6LmNu3lZo+XamKFekdnjnTNot3dyI5Walt25Tq3JkevpEjlbp2zf7X9ffntuD69Vk/165d\nXNAnJ1v3/rlzs+Y4skpYPXtGD421rrLTp5V68UVuj2SF5GSuytq3t7+yTknhVl+bNvQ4jB4tLnZL\nMRq5NTp8OFeRrVvzIUpI0Noyx/PokVKvvqpUx46OWxA4GBFWDmb5cq76d+/W2hLHYjQq9dtv9DJ4\neCj13ntcvLijsLQ14eF0IhQrxnl2/377fq6XL1Nc/fRT1s5jMinVti13kKzh4kWlKlfOggHWCKuz\nZ7kasAaTid6lVause38qycmMz+rUiVtP9iI2ll9OxYpK+fgotXatfa/nLiQkKLVxI29+T0+lxo1T\n6vp1ra1yLMnJFOhVqjhmRehgRFg5iJQUpT78kBNBYKDW1jiOmBhu71WqpFS9ekotW+a4rSt3IyFB\nqRUrlKpRgyE369fbz9t++bJSJUtm3XN16RIF4ePHlr/XaOTi3+qtY2uE1axZzKqwhs2b+RAYjda9\nX6k0T9Vrr9lP5Dx6xOBzT0+luneni11WQPYhJIQBlF5eSnXowPgsd/qsV67kAHDggNaW2BQRVg4g\nNlapN95gfGdEhNbWOIY7dzheFCnCxfXx4+41XmiJ0UiPaNOm3Gqzl8AKCKC42rIla+cZMMD6kKNu\n3bIg7qwRVq+9Zl3wbXIyV+f79ln+3lRSUpTq1ct+nqpHj5SaNIkP7bBhSgUH2/4awvNJXRXVrs1Y\nrFWrXD+jMpUjR5j+vHSp1pbYDGuElTRhtoCHD1lzqXBhlnUpWlRri+zLzZvA0KFArVrsFnHuHPDz\nz6zLpMeCna5ItmzsDeznxzJJ333HOow7dlhfD/N51KzJtjLDhwMHDlh/ns8/BxYt4rNiKb6+LBbr\nEIxGFhxr0cLy965ezdpXbdtad22lWIz0/n0WFstKG51/8/QpMG0aK59HR7N67eLFrIAuOIbcuVmR\n9+JFFtZcv56f//z5rHnmyvj6crD6+mu2GrHlIOVEiLAykxs3WKD3tdeAlStdu+3UzZvA4MEsqFys\nGLtCzJvHzhSCNhgMnMdPnGAB5MmTWSz65EnbXaNePbZg6tuXdSGtoXx5vn/mTMvf26IFC6s6hIsX\n2Q+pWDHL3peYyDLxX35p/erik09Yqn/HDtv1GEpJoaL19uYDe/YsBVXZsrY5v2A5BgOLjO7fD2zd\nylYFlSpxMHVlgVWlCgeQQ4fYMeDZM60tcjgirMzg3DkO+hMnAlOnuq635s4dYNgwoGFDLshv3AC+\n+ELfPV/dDYMB6NKF3TiGDQN69mT183v3bHP+5s2BH39kf8HAQOvO8ckndOrcuWPZ++rU4e/x6JF1\n17WI48et81YtW0ZDmzSx7rrz5gHbt7P8va1aMhw+TFX866/A3r3AunVu2dNN1/j4sGP5nj1cPVSq\nxLYcyclaW2YfPD0prKKiOGDFxmptkUMRYZUJR46wS8UPP3BbzBV58gSYNInzReHCXPBOnQp4eGht\nmZAe2bNTUAUGsrdt7drAt9/ScZFVOnSgx6lTJ+u29EqWBIYMoVPHErJnp145ccLya1qMnx9dfpYQ\nH0934fTp1l1z2zb27fntN9usVu7epbIeNIgP7P793CcW9EvduvRe7dxJgV29OrBpk2tumeXNS7Ff\nqhQ9d1FRWlvkMERYZcCuXRy3Nm0CXn9da2tsT0oKF03e3pxAL14EZs2S9ljORP78FEGpLd0aNADO\nnMn6eQcN4pZe167UE5YyYQKwcaPlXqtmzehMsitK8SLNm1v2vuXL6c6tV8/ya549C7z7LifTrDb6\nNRrTgu28vYFr14Du3V3Xle6K1K/Pxt3LlnHQbdrUNg+u3njhBWDFCv5+LVsyrtAdsDTaPSuHM2UF\nbtrEzNEzZ7S2xD4cPMiElVdfZd86wfkxmZRat451qSZMyHq9QpOJbcHefNO6LNCxY1nexhIOH2YL\nJIuxJCvw5k2mQFrySyUmskL5H39YbltoKK+3Y4fl7/03wcFKvfIKWxto0UtQsD0pKcwcLFWKD5wr\nVr83mdi/q0oVVpV2ImBFVqBBOdAF6ePjo/z9/R12PWv56Sdg/HiGK7iaZ/3uXf5up04Bc+cylsYd\nFrpJSfSehIfz58OHjOWJigJiYphMFRfHkIfkZMBk4vsMBiZt5c7No2BBbpd6eDDuuXhxerrLleMW\n2AsvaPt7Avy9hg8Hrl4FVq0CGjWy/lxJSUz06dKFAfOWcPcuM0qvXzd/5ysujp9rVJSFyXIGg/nb\nKRs2ML1161bzz798Od+zb58FRoFBys2aAX36AB9+aNl7/4nJBCxYwKDH//4XGDWKKaNaExcHhIUB\nt2/TG/HgAW/Ax48ZYxAby4D/xES6yFO/oxdeYAZQrlx0uxYsCBQqxBvFy4sPVunSPIoV08fvam9i\nY4EZM4ClS/mwjRqljwHFlnzzDbdJDh3KuufWQRgMhnNKKR+L3iPC6n9Zt45B6vv3MwXdVTCZmCT0\n2WcMev7kE26BuxoPHwKXLgFXrlBYXL8OhIRwvC9ZkuP0iy9yrPby4rZnoUJAgQL8PHLl4nifPTvn\nAJOJSS2JidwSi4nhfBEVxWs9eEABcfs2/16mDFC1Ko9atRi3VqsWkCePYz8HpagDRo0CRo8GPvqI\nv5M13L3LLcYlS4DOnS1779Ch/NynTjX/PXXr8loWCUJLhNXo0bwRJkww7/VGI2Nhli7ldoa5KMVA\nOJOJA4u1K5j794F33uENuHo1s64cTWqswKVLfLCCgvhwPX3Km75sWaBECQoiLy+uPlIfrDx5+GDl\nyJF2PqORqj0piYIiJoZiLCKCx/37XAGFhfEaFSqwZEG1akCNGhyctXiwHEFQEMtxRERwq9DHojld\n/8ybx9IThw87Raq5CKss8tNPXFQeOMBn11W4epXBxNmzc26oXl1ri2xDbCzwxx/0vp05A5w/z3+r\nU4fjbs2aFDiVKnHst/fiLzkZuHWL801gIBAQwLno+nWGwjRqBDRuzNCeSpUc4ykMDwf69ePv/uOP\nFJXWcOoU4wz9/PiZmktwMMuU3LpFx4Q5vPce79HRoy0w0BJh1agRMGeO+TFWP//MzICTJy370ubO\n5Yd+4oT1q5i9exnwNnQoPVWO8GAkJ7McxIkTfLDOnOGD9dJLPGrU4E3g7U3VbO8bOS6ONWCCg/lg\nXbnChys4mGLLx4cPVpMmtM3aFYSeUCpt66RPH3oq8+XT2irbsXAhn6mjR3VfEsQaYSUxVn+zZQtj\nUwICtLbEdjx7xubQnp5K/fBD1rpv6IG4OPYonDBBqQYNlMqXj+Em48YxJi4kRJ8V4RMT2a933jyl\n+vRh394SJfjnVavsH1KRkqLUtGm85sGD1p9nyRK21ouLs+x9PXsq9e235r9+5Uql+va17Bpmx1gl\nJiqVN6/5vZhMJvbW27bNMnv8/Bik+ddflr0vlZQUpT75RKkyZVjN2p4YjUqdO6fUjBkMusyfn+16\nRo1iT8EbN/T5YCUkMObt+++V6t9fKW9vpQoVYjfzOXMYPKpHuy3h0SOl3n6bfcSOHdPaGtsydy77\nwuk8pgzS0sY6du3iGOhKQdyBgUo1bMjG67duaW2N9dy6RUHSrh3H++bNGQN59KjzNpM3mSgCly1j\niyAPD85j06dT2NtrLjhwgOLq66+tu0ZqMPvgwZa978wZpcqXN78VT0CAFQ2ZzRVWZ88q9dJL5p/X\nz48Bt5asSh49oiDaudP89/z7/W3bUuQ8eGDdOTIjKYmrlKFD2YLE25tCaudO65o96oUHD9jHcfhw\nfm8lSig1cKBSv/zi3I1Nt29ncPvo0UrFx2ttje2YMUOp6tWVevhQa0vSRYSVFRw5wp6Zp09rbYlt\nMJm4gPP0VGrRIudcsAUF0cNSty6/m0GDOC4683ifEc+eMRvugw84H9esyd//+nXbX+v2bQrunj0t\n9zwppdTTp+xZuHatZe9r0oTfoTmkpChVoIBSkZEWXMBcYfXdd0oNGWL+ed96S6kFC8x/vdGoVMeO\ndKtaw6VLVKETJ/LGsCUpKUrt38/fv2hRuntnz3btPoI3bii1cCFXZgUK0Ju1Zo1zDiaRkewvWb26\na3kBpkzhylKn34kIKws5f54T96FDWltiGyIilOraVamXX6bHypm4f1+pb76hmCpRgovno0ft03BY\nzxiNdJK8/z4dCU2bsp/r06e2u0ZCAj1PPj7WeeEvXqRwt+Qe27BBqZYtzX99ixbUAGZjrrAaOJB7\nmuYQGkp3YkyM+XZ8/TVVZHKy+e9JZedODkhWd6JOhxs3uK344otK1a9PMRUaattrOAPR0axH0rWr\nUgULKvXGG0pt3ep8DZLXruUD+O23zrly/jcmEwc8X19dbkOIsLKA4GCWljF3Fa13/Pzo7Rg/3nnG\niWfP6OHu3FmpwoU55x065H5iKj2Skxna07Ur5/cPPrCdc8FkUurLL1mayZrF73ffMc7NXKdKcjJ3\nMi5dMu/1Y8cyPtBszPlAJ7QAACAASURBVBVWtWop5e9v3msnTbKsEFeq4rQmrmruXH5AtnKdG41K\n7dmjVIcOFGtjxih1+bJtzu0KREczmM/Xl5/P6NHOVRcsJISu5y5duKJ2doxGpXr3pti1tac2i4iw\nMpOHDxkLuHix1pZkHZNJqVmz6N3YtUtra8zj/n3GSZUuzWKQq1bZ1iPjity+zXne01Op117jFrYt\nFqubN1vntTWZuLsybZr575k6lSE95rB+PQuTmo05wiouTqk8eRjAnhkJCfxgzN2PTUxUqk4d3syW\nYDRyNVS9um28SPHxzFSpUoXu31WrdOkF0BUhIUpNnkxXefPmSm3caJ3H0dEkJfHeKVvWNSpZJyUx\ntvC993TliRNhZQZxcUo1asTnyNmJieHk07Chc3j2L1ygV6pwYU6wFy5obZHzkZCg1NKlnDcbNWIx\n76yOQYcOUUNs3mzZ+8LC+L7z5817/d27/O7NCaW4elWpihUtMMYcYXXqFGM5zGHNGqXatzf/+h9/\nTNeiJV9GcjIzvl55xcKAsucQE0MXZPHi9GL4+elqcnIKkpOZHu7ry1XfV18pFRWltVWZ8+uvfBCX\nLtXakqzz5AkXKLNmaW3J/0eEVSYYjUp168axzNnHnKAgpWrUUOrdd81bgGuFycRYqY4dudMxY4Zr\neK61JiWFc0Dt2hTW+/Zl7Z6+cIHfz8qVlr1v7Vrurpl7D/bsyVjizEhJYTmN6GgzDTFHWC1aZH5K\nY5Mm5pdYOHWKgub+ffNerxQ/sC5deFiTRZBKbCxjpooVY40KZ9rO0jPnz7OEg4cHvUI6LwmgAgM5\nIQwZou8JwRzCwxnXsmGD1pYopURYZcrEiVyMOPt99/vvHEf1vkA5fJie9UqVaKuzf+56xGjk+FOt\nGoPDrWlll0pgIBfq5sZ2K0Ux17WrUp9/bt7rf/+dO1Tm0KQJ7yGzMEdYvfuuearuyhUGYJoT65GU\nxDTOjRszf20q8fGMfXrrLeu3nJ4940NVqpRS3btL/JS9uH2b8VceHkqNHMlJX688fcp7oWlT+5Xp\ncBQXL+omXV+EVQasWsUJ3tm9Jd99x8Xx0aNaW5I+J05wkq9UiTsqOotFdEmePaMgKlmSjgtrx/8b\nN5QqV86yCgNhYYz9uno189cajTz/uXOZv3bECAsKi5ojrBo0UOr48cxfN24cA9rMYfp0pTp1Mt9d\nGBenVKtW/JKsfTD276eYa9HCNWJrnIEHD+i58vCg0NKrcDEaWb6gfHnzM0X0ys6dXDho3LTZGmHl\nFi1tjh8HuncHjh1jqylnxGgExo4FDh4Edu4EKlbU2qL/S2AgMGkSW8t8/jnbpDl7D9H4ePYG/HeT\nZqORnTOyZ2dvwXz5eBQuzPZoWjW2jo0FvvqKvfYmT2bLsX+2aDOH0FC2xJs8ma2QzGHRImDjRnao\nyKxf7rRp7LG4aFHGr1u6lK10Vq0yw4DMWtoYjWz0e+8ef6ZHcjL7Hx0/nnlPvqAgNlg+d868thxJ\nSewL5OXFnn+Wtl65c4c9t06fZruc11/X7kYzGoHo6LQHIz6eTTWNRn4P/2yyXKAAj0KFLL8Z9cb9\n+2yUvH49ey6NG2d+ryZH8tNPwJgxbKnUoYPW1ljPN98Aa9eyvZJGLX2kV+BzCA8HGjYEVqwAOnZ0\n6KVtRkIC+709fgxs3crJW09ER7O584YNbGA9ahSQO7fWVmWOyUQRcf06j1u32Ew5PJzj58OHfE2q\nWMqfn3NFjhycE43GtF6y8fGcXx4/5t+LFk1r+ly6NHsDVqnC9mqVK9tfcAYFAR98wAbKK1eyibIl\nBAdTXM2Zw1ZlmWEysSfg4MHAu+9m/NrQUKB+feqEXLnSf92pU7yXzBoyMhNWQUEcAG7ezPg827fz\nl/bzy/h1SgGtWlHcjBmTuX0pKUDPnvzz5s2W3QAmE1Xo1KlspOiIDuqxsWwyGhwM3LjBhyM8nF/a\ngwdsmlyoEEVqvnxshpz6YBgM/H1Tu5c/fcrjyRO+3suLTStTmzdXqsQHo2pVPjjOwM2b7N149ChX\nMv36Zb6icDQnTgBvvkn7Bg3S2hrrUAr4z384wG7cqMlCQoTVv0hMBFq0oLdq0iSHXdamREUBXbty\n/Fm1KuOJyNEYjcDy5cCnn/Iznj4d8PTU2qrnk5LCvq1nz7Jx86VL7OVapAjHdG9vegHLlOFRogRQ\nrBjnDEuf5aQkNqa/d49zUVgY56YbN+jVu3+fntN69dgPuFEjNoy2de9YpYBNmzjvDxjAedkSwRsQ\nALRpQ89R166Zv/7iRaBtW+Datcznx1atgJEjOe6nx9On/B5iYsz4bDITVlu2cOW7fXvG5+neHXjt\ntcxddevXs4ns2bOZG2cyAQMHUqlv327ZQxwczIlFKa4OLemAbS6p3cxPn+bPixd586Y2Wq5SBahQ\ngQ/Giy/ySylc2PIbNtXL9fAhFX9YGFcyN25wZRMURMFYuzZQty5XxI0a8ZpaeeYy4/RprmCyZwcW\nLLB8BWNvAgO5oPjPf4ApU/T7OWZEYiIbpvfowZW7g5EmzP9iyBDGhzprBuCdO0z0GD9efw2Uz51j\n5e5mzfRZNiEpibWepk5lv8T8+RngPWAA49SOH9eug8LTp0wkW7QorXds4cIslPr117bvHfvggVI9\nerBUkrmlEVI5e5bxU+bGkI4cydiozFi9mglxmVG+PDNgMyWzGKtPP828xkpEBJv4ZnZjxMYyyt+c\neC2lGK/1yiuWZf+ZTLxBihZls0xbVs2Ni2Px0A8/ZEppajfzsWOZCREYqE2VXpOJ8TS7drFAWufO\nDGAuXZody7//njeD3gZ0o5HptCVK8ObXW2uWu3eZMfL++/qbSMzl9m0GkFrUjsE2QILX01i1ihOp\nJd0o9ERICOv4WFR92gHExTG2t1gxjiV6GuPCwzn2dunCjhU+PmzZtnOn/svR3L+v1M8/U5hUrswx\netAg1qmyVX3HdesokmbNsmze3LmTY1pISOavjYjgXBgQkPHrnj6lhsms92rnzuw6kimZCas338w8\nffu771j9OTM+/ZQTvTksWcKiY48emfd6pXgzvPYab2CzVKUZ3L1Loda+PVcZLVpQvOi9m7nJxCKt\nK1ZwVfTii8x+ePddPhx6akgcFcUCfaVKsRaKnnj8mKvgAQOcN5vo0CEOjGFhDr2sCKu/uXSJE0hm\ng7teuXaNi7RFi7S25H85coSZfv366acZ+a1bSs2cyTnIw4M1yjZssGwe0yPBwXRUtGhBb1a/fqxV\nlVVHwq1bHF/btrXsM1q0iM2XzcmqnTePVdkzE919+rBIeEZ89JGZ1d0zE1bVqmWeJdWsGVVkRoSG\nKlWkiHkVeffsYQqvJX2Ijhyhiv3kk6xX/46KYnuJZs3SbqKff9afR8USTCamn377LVOPCxZkccIN\nG+hJ1AN+fnRDv/WWvrIH4+IorLt3d56+Z//miy9YTsKBlfFFWCk+W1WrKvXjj3a/lF24epULHks7\nY9iThAS2GitVir39tCYqip6pxo0poIcOpYfYGbpQWMO9e0rNn8/m2iVLcgfH3E4rz+PZM3ryypWz\nrEzM+PGsFJDZgjc5mTomsxZL27axrlxG/PijUr16mWFcRsIqKUmp3LkzLqQWFkZlntmE07cv09kz\n4+pVuu5OnMj8tUql9aYqVkypvXvNe8/zMBqV+u03Tp4FC9JTt2OH6xaRi4ig67x9e/6+vXvz89O6\n4Wh8PAsnFi9upsvVQSQmKvX66yw+54ziymhktWlzy6HYABFWitsnAwbY/TJ2IVVUrVmjtSVpXLzI\nkjk9emS960ZWSK3g3rs3t5B69lRq927XFVPpcfUqRZGXl1Jt2lDoWhs2kdoJY9ky816fksL5a8yY\nzF+7cyfjAzOa3xIS6Ei5dy/91/j7s8NFpmQkrAICuNrKiLlz2W8pI/z9qWwza2wZHc3tP3PL2MfG\nUgg1bmx9b6roaAqzChXYtmfxYgvK1rsIjx5xO9fHh1uG//2vw7eN/g8nTzKmY/Bg/TRETUpis2Nn\nFVcPH/L7/f13h1zO7YXVhg30wOrl/rWEwEB9iSqTiVs6np60SatYqrg4zhG1anFunD9fW4GnFxIT\nGTNVvz69Q8uXW+eUCAqiBvjwQ/MW+VFRaYVfM8Jkosc+s9e9/TbnwvSIjWXf5Exty0hYbd7MiSQj\nXnmFW3cZ0b595vvzKSlcUY8alfHrUgkPpyty4EDrJrnbt+lKLFKEH+bZs/oKfNSKS5cYrO3hwa1C\nW3Utt4aYGK74K1fOWmsEW5Iqrt54wzlXpwcPcpFjSRspK3FrYRUaytW3v7/dLmE3/vqLrZEs7dNm\nL6Ki+Lz5+JgXsGwPHjzggtPLi8HoBw7IfPE8TCaOMR06MC5v4ULLY5EjIxmu0rmzeYuSgAAK7syq\npx85wsV6RuP2tm1KvfpqxucpW5YV4TMkI2E1dWrGWwd37mS+DejnxxTFzMTPlCnc3zRnsvL358r7\nq68sv7n/+kupYcMoqMaOdY4u7FoQE0Mx7O3NVchPP2kXvL1pEx+chQv1MZglJTFJom9f58wWnDSJ\ng5adP0u3FVYpKRzL9JZBZw5373IhM3++1paQc+e4mzBqlDZhGXfvcp7w8OC8ERjoeBuclbNnKUJf\nfJEeLEvCTJKTuahu1Mi8APWNG3nfZpZ127p1xluN8fGZZwe2a8dt3wzJSFj17Zux6+y775R6552M\nz9+yJTPTMmL/frqdzVlFHzjAVcMvv2T+2n/y8CFT+osUYYC7s2dpOAqjkbFmzZrR5bpypTaemuBg\nlj7o0UMfKevx8Zw8hw3Th9izhKQkensXL7brZawRVi5RIHTOHGDHDuDwYdsXWbQnjx+zgGnPnqzd\npjVr17JDw6JFaUWiHcWjRywQvHo1W+FMmMC6gHojJYW2PnrE7+/JE1ZcT0piNxSl0lrd5MnDAqMF\nCrBgppcXf9q76vrZs8D48Sys+fXXQPv25r1PKRbS3bkT2Ls38y4tQ4fyd1+3Lv26g6dOAb17s/5j\nenUxe/akjYMHP///P/gAKF+e92a6ZFQg1MeHN3WjRs///9at2funW7fn///hw/xlr11L/8t78IAV\nX9eu5fkyYssWYMQI4OefAV/fjF+bSkICMG8eW3y8/Tarftu7Snl8PCvdPnrEwp5xcSwmmpTEoqdG\nY1rrmty509rWeHiwiGihQvosSHn0KPsq3brF3lv9+jl24khM5P126hSwbVvmrZPszdOnvGfbtGG7\nHmciMJBtpU6eZDFbO+CWldevXuXYdPYsiwM7C0lJbOFUqxYL9mo5/hiNLGi7fTuPmjUdd+3YWM4V\nCxdyAp48ma1gtCQhgc/r1as8QkI4BoeGApGRaSKpcGHOHfnyUTTkyMGuFqmtbhIS+Ps9fcr3RURQ\njBUvTtFSoQKLW1erxmLTVarYbnxXimP2xIn8PufNozgxh2+/BebPBw4dYreR9IiPZ6HpiRNZ2T09\nXnsN6NIFGD78+f+/YQMLme/a9fz/X7QIuHwZWLw4A6PTE1ZK8UsKDeWE/28iI1ly/9699NvEtGhB\nYfX228//f5OJ1a19fIAvv8zASLC/0H//C+zezeri5rBrF9VlvXrAzJm2nYjj4tiG4OpVVj6/fp2f\nVWgov2AvL7ZT8PBgT6d8+SiismVLu9mTk9Na1zx5wnYRDx5wkCtVijd6hQqc+GrU4FG+vPYtYPz8\n2B4oOpqCoksXxw7EixezF9jatUC7do677vOIiACaNuV9NnKktrZYyoIFbDFx7JhdBLLbVV5/9owN\n6zOrhaM3jEamkL/5pvZZwU+eKNWpE7dsHBkUbjSy+napUtypuXnTcdf+J6llcZYs4VZYnToMlq5V\ni9/R558zSPzECYbiZDU8IzmZ4THHjrGkxqRJzH6uWJF1G5s2ZSzytm222eVJSGDpl6JFuVVurv1L\nljDuL7MSTKk14zKKgTp5ktvL6V378WP+7ukVJv/998zjsNLdCrx3jwamx9q1/ALSw8+PW0cZfXDf\nfqtUkyaZby0tX85AOHOLfoaHM3PL25tFzLKKycQiecuWMXW6enXe7PXrswXAjBncmjx3jjdfVreG\n4uJYF2TfPm7XjBvHYMAyZbj/27Ilsya2btWuMJ7JxLogNWuylsjFi469/rFjLHqZUQaHo7h5kwOy\nnspDmIPRyO3MOXPscnq4W4zVzJlMOXe2reGJE7nVr3XB47AwColhwxwbbuDvz04ajRqxtYujuXVL\nqaVLWb/P05Mxye+8w9pYZ89q971ERzMQffp0xhUVLMjM+QkTGJKTle/o1i0WBfXxybxOZipLllAH\nZFYz65tvWMg0o/jX5s0ZN5weLVumX5vzr78YN5Yh6Qmro0cpetKjTx/eDOnRuXPGMRxBQVStmUXX\nL1tmvqgymSjCvLyU+uyzrAU7PnrEYmDvvMMsqrJlmT24eDF7UWmVEfboEetNTZ9OsVWwIIXe++8z\nFsrR8UfPnnEAKFaMMWyOLFUREsLaJKNHa7/SPneO950WA3NWCAnhc2irTgX/wK2E1fXr/By18nRY\ny/LlDPo1J0DYngQEcOH49deOE6aPHzMovnhxemsclYhiMjHLefJkeqK8vFiEevVq7cvcZERyMtvR\nffYZhWhqZflff7UuM99k4vzu6anUl1+aN4YvW8a5+Pbt9F+TkkLtktGie+dOisT07rXZs9PvMZiS\nolSuXJm02ktPWK1YQW9MeicuUoSeoedx5Qpv1vSUdkoKXYyZZZ6sW2eeQlWK2Rvt2tGLZG0TztSK\nsr6+aZXJf/iB4k+vq9CUFK64Zs6k56hAAZa3+P77jAud2ZrISK40S5bk9+aozys6mm7Z7t21X3Hv\n2sXf/6+/tLXDUubO5T1v44nFbYSVycR78NtvbXI6h3H4MBdEWme6+fnRjvXrHXfNHTs4twwe7DhR\nGRjIkg2VK/OYOJFbelovCq0lPJyZ4y1aUByNGGFdeZGwMI4/r77K7c3M+OYb1srKaGsyMJALnfTK\ncxiNdEgcOPD8/w8IoOcwvXmsWjWlLl/OwMj0hNXHH9Mr8jxOnMi4+uigQem/VykO5M2bZzyQ797N\nh82c/lq//cZtoU8/tXzPOTGRqZodO7Lqav/++uulZwlPnrD+WL9+/H1at6ZIdlQ7nlOnmL3Xrp3j\nBEZiIisft2ihfXHXuXO5Cn3yRFs7LCElhbFBGXmgrcBthNWqVVzQOdMEefMmF7/pTSyOYs8eemxs\nEbJhDlFR3IWoVInC0t48fcrxt2lTft5jx9JbpdeFurXcusU5v3z5tIxjS1qlpaSwvFPx4pzPM2PS\nJI5ZGe3QzJ5NsZbeZ71iBZ0Qz8Nkogf12rXn/3/nzvTUpUt6wqpHj/T3IKdMYTPC53HvHl2E6a0C\nbtygkswoCO34cSrgzLZVnj1jYF2ZMiz+ZQk3bjBOycuLnp516/TTM89WxMezx2G3bozNeucdDib2\nfqiTkxl35unJfXFHDCJGI936L72kbZ9Bk4meuy5dnKvG1cWLfBZsWDjULYRVRAQXgM5UCDQujs/J\nvHna2rF1Kz87R22fHzzIueL99+0/1gcHs9VKkSKM992+3TkLCluK0UiR/MYbHE+mTLFsPPbzY7zq\nl19mPG+YTEoNGcJwmPScKSkpFHlr1z7//xMSKOSuXHn+/w8Zkv6u2gcfZOKhTk9Y1a+v1Jkzz/+/\nhg2VOnTo+f83ZUr6e5MmEz+ImTPTtycoyLy+fw8fUo22b29Z9sjp08x+8fRkEF5Wmkc6Ew8f8kao\nUYPHDz/Yf3AJCOCN3amTQyp9K5OJrvbq1c1zKduLpCQGA3/2mXY2WMOECYyZsBFuIawGD+Yg6yyY\nTIyP7d9fW6/Jhg3cZTh/3v7XSkrivV2qVNb6yZrD6dMUFZ6edD44W1iALbl+Xan33qOjZdw48+eA\n8HC2qevePeM5KjmZySKjR6f/mtOnGZ6R3k7Gp5+mr1c2b2Yh6Ocxb55SI0emf910hZWHx/P3MCMj\nGcfzvMDwpCQqwPTcZ1u3clJPL9AtKoqZfJltSZw/zwC2jz823/1+4gS/hHLlqEKdsX+XLUhtOfDG\nG/QcfvKJfT08SUn8nkqUMKNarY346iu6+rWsqn/vHmM4tm/XzgZLiY3lc3XwoE1O5/LC6swZDtqO\n2ma3Bd99x616LUMdUkVVhjEqNuL2bU7SnTrZN4P6yBFmkpUrp9SCBZkENtsZo5G/66VLzJ7evZvh\nLj/+yG3rFSv4540bOT4dPUqPtS3KNzyPu3fT2qSNH895PjMSE9murn79jGOFo6PZs3HJkvRfM2RI\n+o2aw8Jo1/P0QKrWeZ5e2b49fdGllHq+sIqOVipfvuevaLZsYTzS89i4Mf36DnFxvOnS83QlJzMe\nKLNO1bt2cTWweXPGr0vF359pneXKUbDZwx0bH88guT/+YBX5X37hNmrqTbx6Nbcat2yhm/TUKbqK\nY2K0XTXeuKHU8OGMxfp/7J13mBTVtvbrek/UiwjDABIEFUEQERxEFFBQAZUMKlEJkkGQJBkBJUiQ\nKEgSkAwSlCySc845hyHNMDlPd9X3x+9sd1V3VXd1mGE4n+/zzKN0qK7atWuvd6/wrs6dM9bLs20b\nbvi+fTOnNc64cWixeKoeyWjs3Ys7/GH1N/MHK1bg8QvCc+IPsXpkBEJVVVHeeAPBYk9ihFkJBw8q\nSo0aCOx6ElrMSCxfjt7bpk2IUGYkNm7k3nTvrig9e2aM/t++fajUX72KzmLTpghzZjQ0Dc3EU6cU\n5fRpBESvXFGUa9cU5fZtRXnySYQ/c+ZEgDpbNgSp//Y3NAcdDvQSk5PRUIyJUZT799FSDA1FL/GF\nF/h7+WW0IAsUCEyv8PZtBKZXrmSs2rXzPFaapijffqsos2ahX2klFHvxImLHy5ahnemKiAg0ILdt\nMz9G3bqKUrOmorRu7f5eWBjipBUrGl8/eRIB2dOnLU7eTCD02DFF+fRTvuyKDh0UpUgRJOpdUaUK\nC83HH7u/N3gwCuxLlpifxxdfMDF++81arHDKFEX55htuTPnyFhf0H9y+jWruhg38dsuWTCx/kZ7O\n+R87hijoxYuKcumSoty4weR8+mkm8VNPMan/9S9+T4iBOhyIgcbF8RcZiRiooihKoUIIgT7/PBPg\npZeYzE895f/5+oK7dxVl9GjaN7RoQRuB0NDg/05EBAtPWpqiLF6MynxGYuxYRZk2jQcqX76M/S0r\nTJigKD//rCi7dzMnsjo0DQXu999XlG7dAjrUf7VA6E8/4Ql5VPLooqNJLPa1FVgwIQqSjh7N2N9R\nVXI88+XzPffWLi5dIqWkQIGM27DrER+PMOWAAaS/hIRwfdWrE2abMQNP85Ur/kkfCKSlsRndvp1j\n9upF+k6ePDg0atYk/2nbNv9/58QJokcvvUROlTfMm8e82bfP+jMbNnhuizdhAg4Wq+9aLQW9eiHK\n6oq4OE17/HEPjhEzj9XKlQygGV54wfzBOHsW967ZYF+/ThKfVWhm0SJCN1YudVUlX6VoUe+6V+np\nlGOGhBDj9rc66/59Er+7dUM47t//psSyUSOqH5YsQbsoMjIwr1NcHBPt1185788/Z8H+v/+jJLdx\nYybFsWMZv4iHhxM3DglhYcqIcIHDwb3Mn9/zgxIsDB/OfXuYQqoNGniJx2cxnD3LIhpgiFj5bw0F\nxseziGfG/A0GVBXV7oc5B3fsYE5l9JglJbFmli1rLQcUCOLiKHoKCYFgZFRI1ekkAjJ0KJpMjz9O\n3ma/flStP4wc0lu3sIndu1ORly0b0auJE33X31JVbGj+/JrWqpV3yYs1a/D+e6rkHDCAQjSz9KC0\nNLiLWfWp00lEyyzfb/16qs3NkCOHB7tiRqzGjyc05IpbtyBIZga+Z0/rSsHPPkMMzQznzvHAWSUx\nqio3slQp78lve/dS7fLee74LHjqdfL93b4TDnnySuPzw4dzMzK4YdDjIQZg9W9PatIFU5shBQt+M\nGRmzaAhcvAgZeOYZQq4ZEa787Tfuu1XFRjDRrx87kofVvDk6mgf3Ucq36tqVxNMA8F9LrAYNou3J\no4I5c/AOPKy8KlFx+vvvGfs7t29j8Js0Cf61qiprYYECdN/ICI1ApxNP0RdfQNyLFWNj//vvWVP+\n58EDxqR5c3hBuXIUSPmyIYuNldfrTWZhyxbmkdXnHA7y3KyKhn75hfxCM/4yeLD5xiMujrQos5zy\n0qU9VAObEatu3dCAcMXChSQ9uyI1FVedGZk5doz3zDxHSUma9vLL1grtTieLe7lyniv/9AnSixbZ\nJwKqysB06QJzLlECArhzZ9Ysjb19m0WyYUM5kUePRkMkI7B9O5pMVatmiDK3duoUeVB9+mSsN05V\nNa1tW3L4AlHjDwS7duFOf5jVir7gwQMWMTs6chb4ryRW4eGeve9ZDZcvs4Gx2zYk2LhxAzKyaFHG\n/s6ZM2xehg4N/kbwxg0SlUuWxPMWbJw9y+avYEHs4TffcD2PEtLS8AZ99hnSPh9+SOTLbj7t5s1s\n5Nu18+zE2LOHdcmqwOb2bXjA9u3u76kq0aD5893fu3aN59pMZDoszDxkWaeOh9C6GbGqXx83nSs6\ndDDXblixAsFPM9SoYa2X0rEjoTWzB0FV8Zq9+abncN6JEzDHmjXtl3NGRNA6oUQJ8g6+/tq6kjGr\nIi2NnUybNiyclSoR6w+2QGZaGr3kQkJonhlswhkRgYu7YcOMJT0OB/O6UaOHlxczeDAk9VERBxw/\n3rpQxQb+K4lV27bkXTwKcDh4tsaOfTi/HxsLUTDbpAcTu3ezeZ8zJ7jHVVWqzXLlgrAFkrvkitRU\nbOzbb0MEevTwv2NIVkN8vKbNnUsIs2BB7IYdSaToaLQWS5TwbI+3boVc7dlj/v5vv2HXzXjD5s2k\nHZnZsXffJdTpiq5dzSWiOnf2oAVnRqxee81ctO3ll2kK6Yq6dal+c8WuXbBQM4O5YQODbkUE+vZF\nA8lTKfNPPzHpVYYvvQAAIABJREFUZ82yZ6yOHpWMunlzdh+PSvKpJ6Sm0n28fn0q/Fq3Dr4+zPXr\nJEqWKRP85NPkZM69SpWMLV1PSuJh79Mn437DE9LT8TL+8MPD+X1fkZpKF3g/Far/64iVyD2zUy6e\nFTB6dIa0KrKF9HTWi/btM3YjsW4d92TduuAe9/Ztzr9s2eDKQkRFkV7y9NOErZYuzZrRkWDhyBE6\nseTMSQuf27c9f170+82Vy7OXc906z4UQrVuTu2WGd981l3SaPRsvlCuWLTPPOR81ijQlU5gRq7x5\n3UMWUVEkVLtOgqgo8pHMDGLlypAfVzx4QOjNqp3CiBGwVqteQElJDNqLL1qrpuqxaxeuyXz5YJ6e\negw96rh7l6TKggVpo7ByZfAWVlVl8oWG2m+aaRcOBx7M0qUzVlcrIoIdi9lGIDMgcgofFWHaBQsg\ng34YR3+IVZaWW/jkE8qve/fOwJMKEs6fV5QKFZBYePbZzP/9L7+kinrtWkr8MwIrVypK+/aKsmoV\n0hfBwtq1ivL554rSti2yAMGQT4iIoPJ61iwkL3r2VJRSpQI/riekpirKzZv83bpFJXp0NH8pKfw5\nHFTh/+//UrX85JP85cpFpXu+fMyfXLkCk1q4fl1RxoxRlAULGNs+fRQlJMT688eOKUqDBory0UeK\nMmKEuVTGsmVIaezdixSEHvHxilK6NFXZNWsa39u1CxmO8+eNczMuTlEKFkSyIkcO+fqdO4pSsiTj\npx+DxYuRD1m2zOQCXOUW0tIU5f/+DwkBvezB+vVMjC1bjN+fORNJg19+cT/5zz5TlAsX3B+sJk0U\nJXduRRk/3v185s1TlEGDKE83K5G/fVtR6tRBmmDmTM7VCgcPKkq/fopy+bKi9OqF5EIgJe8OB/IK\nN24w2HfvMknj4riR6el8RtMU5Z//5O+JJ5BhyJkTXZECBbh5efNmjK6K/lxXrOCexccjPdGkibWU\nhS+4eZN7q2mKMn+++6T2F5qmKF9/zUTdvDnjJBLOn0fvZPlyd32SzMDEiVzj9u0ZOweCAVVVlFdf\nRbKkbl2fvuqP3EKWJVbHjinKBx8gsfLEExl8YgFCVZnfDRsiY5PZmD0bY7h/v9FABRNLlihK166K\nsm4d8zMYSE/HXixdCgEIxtrw4AGEYvp0RWncGFJesGDgx9VD09DROnxYUY4cQSbp3DnIVL58rM8F\nCmBzhSTQv/+Nffr7341yQPHx6FpFRGDjbt9GBsnpVJSiRSGDpUuzwQgL4xi+4PZtJJOWLUOyqXt3\n62NERkKucuTAzpjZ+tGjeW/XLrS69NixgzE/c0ZRsmc3vvf224rSpo2iNGtmfL1+fUWpVQuuoEfh\nwuiiFSsmX9u1S1G++kpR9uwxOXlXYnXtGj96/brxc4MGMbjDhhlff+89tK0aNDC+/uGHEKB27Yyv\nr1rF5Dp6VFEef9z43vbtaGBt24aekyuOHOGYHTooSt++1gz66lWI1N69nHerVr7vOiIiEH87epRF\n9fRpxiRPHnSnnn5aalc9+SQ3/R//gLj8z/9AUFNTFSUhAfL14AFETOwgEhOZqC++KCfqq68GfyHS\nNMjwkCEIwH39NQtuoAbd6VSU776DJMyZg+5RsDBiBDu7LVsU5ZlngndcPTZsYF7s3x/8hc4bVFVR\nKlXioe/cOXN/2x+sXg0xP3bMp3nzX6VjVauWdd+wrIbJk/FWP4wQ4P79eGQzMvlaKLcHMyH/9m3y\n0T74wHvpvx0kJxMqypWLvLxgFjuoKsVEkybR0zdPHqIxtWvTyHjlSjzjwQwxPnhATtPUqSSYv/oq\n1XJvvUWV7O7dvgk/X7xI2O2FFzxXA6amEkosXdo8h1oUJln1DGzTxrzab+NGomKuz8iSJeZ6V40a\nEa3R48oVIkOmcA0F7tpFHoorqlYlKUyPu3fJ6XEtBT1yhBvtmlsVH8+JmOVsnDtHzNQqPLh2LZP0\nl18sLkTjPIYMkYnWvrQViI7m2G3bEmJ88klNq1aNfJzFi6mOMqsY8BcxMeSrzZlDclylSoRaX36Z\nkNjSpcHN5VBVVOFff51JGqyu9tu3E9YdODC4C/nYsRmvnD5qFBUfwbyvdnHmDPP0UeglpqqEAxcv\n9ulryn9LjpVYzx7GPPEV4eEZT2ysEBlJZd6KFRn3GytXQiSCSaoOHGANGzIkOGvYqlXkJtaujV0L\nBtLTSbzu2JHE7Pz5IRxz5z68NSQ2llzpXr2QQ8qRAw2xlSvty0OsXQu5ql/fuvhMVSn8KVLEvAI+\nPR1b3aOH+3sPHjBfXGURVJV84TVrjK8nJGD7Xcn1uHEU7+mRkqJpf/+7xZxxJVZLlmjaRx8ZX3M6\nSfh2zX2ZOpWBdEXjxuaVIL16kfXvithYdJpmzjQ5QY08jzx5PHdB37IFQ9yggf2JdusWu1BBat5/\nn6rHI0eCmz9kF2lpPOSjR7NzypaNqsjhw2H4wYCqkoz33HPswq9cCfyYd++yc6lZ039BVjOMGcO8\nyKgGzqrKjq9du4w5vjcMHcri+yhg/XrzHZ4H/NcQq3r1WFgfBTRsaK0ZmJFwOsljNTNuwcLGjeR3\nWmoH+YFFiyCiq1YFfqyrV1lTixULzsZVVRFUbd+e6w4LwxacPJk1K4vDwzVtyhSKkLJnJw96717v\n55qcjAMjTx7PckkTJyLdYZZXHRkJ4TSr6ps1C4eC69q1YAF54K6oX989N3z3bgoZXJErl4V9ciVW\n33/v3i36/Hl2Iq547z13HQehB+FqYE+dMj8JVWXhshIj/OEHBtNKTyc+HhafP787+zRDUhI6FpUr\nw7CbN+d7WVGALTmZxaRjRybdK6/gZfFWWWEHKSkUCQjvXqBSB6mpePtKlgwOWRMYMoRj2inX9QeC\n1GeGUKkrUlL47WAs6hkNVaVa2GzhssB/BbE6eZKw08NsqmsXv/+Op+RhrGUjRrAJzKgKt337sB92\nWqDYgaqysSlUKHCZA4cD4h2stTQ6GjtcvDhemm+/fbT6jWoaNmrECAqFSpZEq9LbM3TgAJu3Jk2s\nN+g//0xFpZlH9tAh5oirVIPTydx0rQRMS0O14OBB4+sLFrg3WE5KQv3e1WtdqpRFBb4rserZ012z\nYd48dy9WZCQuM9fB6taNY+ihqhCZSZPcf3/UKBZss8k4cSKeFStDfegQE69FC+/6TVeucG4hIbgN\nly17eGKR/sDhIITaqhXh1xo1IISBuq7FLqt48cDbTagq9yxv3uC1rlBV5tPrr2eccTtx4uGFT4Qw\n3qNguFevZiGxuVv+ryBWTZuaa9hkNaSmksLwMNT99+3Do5JRoqkXLrCmrF4dnOM5HGzky5QJXEH9\n4kVysypWDLzS99w5NqdPPQW52LEja3qmfIHTifeuVi3mSP/+nnPYkpKIIDz/vLm0k6ZBrvLnN4/i\nzJhBlwHX9fTIEZwTrt03vvsOCSY9YmOJFsXHG18vVcr9nKpXJ5zpBldi1aQJJ67Hl19yAnrMnYun\nSY+EBHNV4hUryB1yDa/t2MHFmj2Q06axmzAL66kqjD401FzIVI/Dh3Ht5cyJgc4olfLMREICiXRh\nYRDPsWMDa9ci+jblyYPWSKC5JKKvU7C0ZVSVEHKtWr4lSPqCadPwCD6MPJpPPiFHLatDVXmObd7X\nR55YXbnCupGR2mrBwpgxpDJktiGOjWUN8pT7Ggju3cPImukO+YPkZNJF3nknsLQFVcWI58qFtyqQ\nDe7hwzguQkPJJQp2u5y0NDaNq1ez8e3Rg/X0/ffJnSxZkjF+5hk8nkWKQCIqVmQD36oV69OPP5Jy\nc+uWf/PswgWSyXPmJOHdkzNk2TLGY8YM8/enT+d8Xe25qsJhzBLWP/2UfoJ6REZCZF0lmN57zz1X\nsGVL0p/0aNHCIoXJlVhVqUKSsx4VK7rHjD/6yD0OOW2au8CWaH7omvkfEwNxMtuFzJ1L+M+MkSYk\nQJTKlfMccjp+HOHSfPnIo3Jln3aQmopbcdUqiFyPHuSPVa2KB6V4cSZk4cJcS9GiGOcKFRiH1q2Z\nkD/9hLcpPDy4C5+IwTdsyAP+9deBVbTcu8fYliwZeHLo3r0QtblzAzuOQGoq496uXcYYD1Xl2l3D\n4JmBGzdYbIIZQs0oLFhg3ZTUBf4Qqywlt9ClC5XLI0dm2in5hYgIRSlenLLvokUz97dbtUJOZ/r0\n4B87NVVR3nlHUapUUZRvvw38eMnJSIY8+SQl+r5KBQjExqJxde6coixaZF7BbgdnzijKgAFUJvfs\nSfm/J/kgO0hPV5Tjx6lo37+f/794EbmFIkXQpCpcmOr20FCq2h9/HPmFv/+dimWnU1GSkrjO2Fiq\n2W/fppr9wgXkapKTFaVMGSrZX38dJYGnn7Z3jleuILmwbh06Ye3amVftX7iA9EH16ooydqz7ZyZO\nVJQpU5j3OXPK12NikIWYMYPvCty4wTmfPo3ckUCLFtzDr76Sr02YoCgnTlCdLjB5Mq/p53q/fozf\ngAEuJ+8qt1CiBDoeJUvyb1VF9+LaNXny6enclPPnuUGKwjFefZUS/GrV5PF+/BGNq02bjPIILVqg\nKfXjj8bzWb8eDYlt25Ai0OPaNeQWXn2V75k9GLdvUxq+fj2yDu3bM2m8QVXR/9ixQ1EOHULaQUzI\nF19ENyt/fnRBQkPRxciWjXMQ2lCpqUy4+Hg0OCIjOZ+rV5lM588zdiVLIq9Qvjx/hQt7Pz9vuHiR\nsV+1CoPQrZu7rocdaJqizJ2LXMW337KA+CsMd/YsE7t3b0Xp1Mm/Y+gRH4+2TPPm6J8EG1FRSF/M\nnGmcw5mBYcOQ9nDVg8tqcDgU5YUXMCjly3v86CMttxAdTQ5mRjY7DxY6daLfaWbjt9/wVvmzafUG\nVcUb0KBBcCr1EhPxUjVtGpjX++RJPDodOvjv3Q4P59pCQylUCjQn7vJlnAe1apGeU7IknqGZMwmB\nZUTOXWQkDpiRI3Ei5MiBY6FzZ163k2t34gSeoRdftG7QHR2NZ+3dd809jD16sNFzTevZtAnnjKtX\nrFs3d2/Wnj3cU/2G/cIFnDL613buxKGjx4QJXLMbXD1WOXIY3WKXLuFy02PrVvcM+QMHcCPqH4LE\nRE7ONS65apX5A3n0KJ6X3bvdz3PPHuLs48ebeyxSU0nyy5mTCgM7bt6ICOQORKiwaFG8TNOnk7+V\nETlY9+6RV/Pdd4RS8+Rh3Nq0QWIhkJCepnG/mjbluJMm+b+InDuHO7hp08Dyf65cwaMXLA2ga9eY\nB8FuYSGwcaPnVksZhaQkftds7mc1jB9PNaUXKI9yKHDkSE1r1szWcDxUCCX/zO4mERnJ2m7W7DYY\n+P57ZGE8NeS1i4QEcnybNw+s2nvxYsba30IXfcFQ796BhZgvXqSw55VXkClq1Yrzu3/f/2MGAqcT\nEjdsGOQjRw7OaetWz8RYVSHozzxDqM2sSMnhgMi++qq7MoHTSfSscWP33+nY0T1/6v599+iAqpKX\n5drY+fnnjYUNsbEksOvnkJmKgqZpRmJlpsvwyy8wYT2++so9J6R1a0pB9Rg1CtKiR0QEWf2uXcJv\n3CAhbelS93Ncv95zzs7+/bD0GjW8h1NiY8lPeucd2H39+pAr1xY+mQVVpeJx/HgS4bJl4zrmzAmM\nZB0/Dss3mzB2kZiIcSlVKrCqlKtXIY9mDbz9wa5dzIeMapzdvj07yszG3Ll0X8/qCatxcSxOXvIV\nH1lilZ7ObvfwYV9G5eGgQYOHk1zfvHnGecm2bmVjGAx9ppQUUgiaN/ff86Wq2LvChf3vk7prF56Z\nmjX9l86JiyPHp3x5yFSXLtjRhyEN5A23bmH/X3mFZ2nIEM+5Y3FxeJKeftpdL1PTuAeDBuFZcrXx\nSUmMyTffGF9PSOCeuXrDBg507yM4fjxOBD06dXLPLX/2WaM22bZtpEq5QU+sbt7kwvQYNMhdF6VU\nKePOOj6eBDC9DEB8PMbPVXOiRQv3PJakJCo0XC9C05BGyJ3bvJN1SgquwDx5yP2wMkiqSs5P06aQ\nqTp1IIxZUfAvJoZrqV0bLZDGjXFr+mNsVZUEvMKFuXZ/drWqircpT57ASp2vX2dSTpvm/zH0mDGD\nHLeMCEPExzNmGzcG/9ie4HSyEGWkwGKw0LOne/WvCx5ZYrVsGXmSWR0HDuA1yuyK0k2byCnNiGcv\nPBwbZBUa8gXp6WycGzTw33OfksLa+frr/vUwjYsjVPT00/4n+J87xzFy5OB61qx5tBo3Hz9Obqyo\ndvTU1HrnTubWF1+Y2+dJk/BuuZIrMW9c1+w1ayBj+mM9eMBY6ovmIiKwt3ov4qpVhCr1qF3bKDlz\n5gy6ZW7QE6vDh3G/6lGvnlFxWait6yfq7Nnu3Z/HjHEPF2zbBnvVe2JELL1RI3fyMHs2XiwzDavz\n5yFjdetaEwaHA1edqJ4bMyY47QoyC/fvM5FKluTmTZzonxcrIYHYcp48mrZwoX8kTYjzeeo47g2X\nLnE/AzmGHq1amc+bYGD9eohgMEIRvmDdOghjVtyF6nHlCiEND+PzyBKrt97yWWX+oaBqVSq1MhNJ\nSaylpiXmASI9HbFmV8+DP1BVQkvVqvmf0hETo2lvvw2Z8SdPac8exqp5c/90+A4exP4KmYKbN30/\nhitUlejQ1q0IZ379NWG2Bg2IcLz5Jna1dGnSfcqXZ5598gnkaOhQ7PLWrXABX9be6Gi8q3nyMKZW\n3r+oKMJrpUqZe/d++IGNr6tHc9s2nDCur9evz3Xq0bMn5E2PunUZE4HYWITD9fe+f3+cTQKiqtAN\nemK1bh0TUY8iRYxepwULOAE93n3XyOJSUthJ6YWzUlMxGK6CotOmEa5y3f0sWMAxzFoCLFhArHvK\nFPMb63AgGfHii+w0Vq/2zQ3scEDcVq/mJvbpw0Naty4PWrlyxHtfeYXJV6kSCXZNmyJNMXIkhO7g\nweCUaqsquQwff8x1Dxjgn/dp3z4E2D76yL8H/fhx8oDMPIt2cfIkD1YwcqSSklgAJk8O/FhmaNrU\nq1cm6FBVDLtrX6qsiDp1PHogH0lidfo0OXxZ3SOwaxfGJbPPc+BAi5ySIGDQIIx4MJLVBw9mbfZ3\nYxQRAcHo3Nn383E4ICB58tDexVccP046SIEChKgC2dyFh2OLunTBTmXPzvyuVIn8o4EDWT+XLMFL\nuHMn+cVHjuAR3b2bTeaiRXyub1/SQypUwOsTEoKSQL9+2Es7uakJCaSF5M3LsczkllQV25s7t3nk\nYPx4cqBci0tGj0YXMzVVviaqrvXpLLdvc/56R8vSpe4eqvLljak0Cxca57/TqWl/+5vJc6gnVnPm\nGBM2k5I07V//Mn6pVSuj0OedO+79AmfNIl/I9YKrVzcSocOHIQqu5GnpUgbd1VOVnk7o77nnmHxm\n2LABrZ0KFZgo3hi1qlIBMHs24mylS3PNhQtDltq2ZQc1cyau3M2bISiHDsG49++HKa9dC5kbM4Zz\nbNCAB/OJJ3Bd1qrFw7ZlS2Cu+0uXOKccOWDPvhK35GTIX8GCnLevuHULctanj/+eoj17uO+mirU+\n4uJFjhWoerIZ7t1jt+jJdZ0R2L6dRSOjNLuChY0bmeMW8+CRJFZdu2IksjqqVg2etpNdXLiAIQ2G\n58QVO3aw5gejq8TPPxNO8lcPKjycNa5fP9/XuHv3yN+tUsX3itJr17C/efKQfuGPpy0lBbv35ZcU\nY+XMSfjqu++QTApmcruqMsZr10LQ3nuPHOEKFbCZVt1SBOLi+J7QtTK73u3bmRdjx7rfi+HDiebo\nbaCqYmv79nX/rKtDqGVLo3c0KQkuo+8O06+fMRXq2DHmhh558pjMWz2xGj2aGyJw9CjeJD2efdY4\nYBMmGPv/OZ14pvS6V3fv8kCePy9fS0zEo7RggfH4mzdjzFwNZXQ0i8m775qH8y5fhggVLcouwdMD\nkZaGx6RDB64nXz5ymSZMgDQFM/zjdLIgLVtGr8Ty5SFblSuT3HfqlH8E5fp1WbI7ZozvD+G6dUzY\nYcN835FFROCx82c3J7B0KWHBYDRZ/vln5lxG5Jr88AMepMxOKK9cOet7rZxONjkWCsmPHLFKTmad\nyuoiwnv3Qhz0u/LMwIcfmveADRSxsdaahr5i507WRG9G3Qq3bhGlGTHC9+8eOICXqX9/30L5yckY\n+Jw5IRq+pnukp+NVatGCDfcbb1Ahf+RIcLx/viA5WRK7AgXgD0OGeC5EuHkT0lOsmPlm//p1CFS3\nbsbrUVUq/6pWNTp/7t7FtunzwJOTcXDs2iVfO30aUqTPv2rWzBgB2bTJmG+ZnKxp//yn8fdeesnE\n0aMnVr17Y2gFFiww5kldv86k1RuZN980xtvXrMHro/9Mx45GwqZpuCYbNTK+dvo0x9+yxfj67dvE\nWzt1ct/Fp6URegsJgahYucZVlbjw55/z2Tff5PMPo6FlQgLj1LEjN7tYMRi7P1Vup06x4L3wgu/J\n1jdvMg61a/uuQhwTw4T7/HP/H97vviOcGiiRFWq7pnoiAcLhIEdv/vzgH9sTtm5lgc/quVYjRjAH\nTPDIEauFC1mkszpq1SINIjOxYQPzMSPIXJs2/AUKUXzlb5rB3busxf6kOohmzr6G/sRzXreu74T+\n6lXSQvLnJz1l3LispbvmdEJuOnfG5n7wAS2XrOzFypWQsc6d3XPaoqKovmvWzGjj09MJm7ZubbTj\nv/yCTdRvtmfP5hj6z73/PpE6gVWr8DYKxMfjCNGTr+efN0bZ3n7bnbMYiFXr1saciYEDjbIK8+cb\n5RNu3YIh6x+2qlWNatuXLjGo+pygbdvwEunzfO7eJfzmqtR94QJepWHD3AnQ2bOEIqpXt5YDiIpi\nl1W0KMxyzJiM62nlD4R6erduLAoVKnCjffW+rF6N9+Djjy26bVsgNRV5gRIlfFf+jo+HmHXu7H/V\nYvPmJEYGSm6jolhg/JWW8ISdOwmdZmb1laoyF7J6EvXt27jPTSrEHjli9e67WX+8jx9nN56ZFc3p\n6ayd/uQLecOGDWwuA2kvo2l47MuV88/TpGlEQV5+mdwsX6CqeJueecY6PcUM8fFsrPPn972/4759\npJrkzEkCdqBdMjSN64iLwwbs3886um4dRGPNGjw3O3dSBRcR4ftmOjER2x4Whq2ZO9fcCRIdjT0o\nWdI9BSMpiU1FjRrGCE18PM6cceOMn2/c2KhA4HDw23pH0G+/kYet/43s2Y0VoGXLGivia9RgXATq\n1zeRidITq7p1jcnln3xiDNW1b288+UmTjGHACxfwOOkf+iZNyC0SiI+HKOndvqmpGGh9tr2m4Y15\n+mn3fkH6Pk1Tp5ob5Tt30NvKmROWu3u378Y7JYVd0JEj7Cw2bOAh+O03vEPbthGyDA8Pzk4uPZ0b\n9sEHMkndlxLfpCS8jrlze5afMMPEiYz13r2+nXNMDA9Lr17+kaPkZCZuIAnxAmvXQs4DFVk1w0cf\nBadayResWeNT0+OHhlq1jNU0/8EjRayuXWMDmNUbs3/6qf/kwV/MmJEx4fD4eAhJMKQVOnbEwPlz\njomJpGj07Onb9x0OPG1hYb7lhh04wCa4RQvfhIh37iRFQAgu+yN3oap4ulaswN7Wrw8pefJJxC8L\nFSLNo3JlHBa1amGP3nmHEKPI2/rHP/C0Va9O9GnOHAiet7xQVeV+V6kCD1iwwJ2kqSpt4HLlcne0\npKVRKVmvnpGYXb2K3dOH/yIjCfUdPChfW7mS6xW/6XCwadanHn3yiTF/8csvjc9c9+5G7bi2bd17\nCBqIVcWKEAiBV14xntTLLxvzKapUMTK3Xr2MVVQnTnBh+gnQs6e7ovGXXyLXoB/g8+fxarmGYBIT\nYaKlSrlrZGkaXrBevfCkdepkT2QuNhaS9P33eFAqVGBX+Pe/QzZKlaKKompVzrNGDRL1KlaEWYvP\n5svHay1aQEC3bvW/KvDCBYhsjhzsSnxJxDxwgB1mw4a+/f7atRBjM4E2T4iMZBz8FSq8cYN5EgwV\n55Yt3ctog4HLl1lQfPEGBgpVZe659tnMali1ylQkL9OJlaIoTymK8ouiKOcURTmrKMobnj6vJ1bD\nhpFzmZURHo53MCoq834zMRGvyr59wT/2l1+y3gaKZcsgKv6stQ4H1a3NmvlGqlJTMcDvvmuf4Did\nRExCQ82FsK1w+DAEpnBhCIevRS3h4RCFJk24l3nzYsP698dDe+iQ73MqOZmI0Zo1pNQ0bkwYNXt2\njj12rDGn2gxbtlDBV6aMeW7VqVOQt27djNecmspvNGxoTJVYvRqSpE/Qnz2b3xCfU1WIsF5T7Ouv\njWkkCxdyfIElS4w9kKdONaY/9OljTKHSNM1IrEqUkG5FVYXBChdtbCyxRuGZefCACgARHklNhTHq\nY4/16zPAAidPwkL1xmn5ciaMPix4+TKxVtdd8PXr3IRmzdxjsGlphPxy5YJBelJST08nuf6rrxj0\n//s/2HinTkzAbdvwVPkq0XDjBt+dNo1jVajAscuUYRFZu9Z3F/7du3w3Rw7O1+4DkJSEofCQXGyK\n/ful3pUvuHWL3adrMYJdrF/PPQ+0auXBAxaOjDAEXbpkTB6XJ8ye7S6BktWQmspz5xJKfhjEaq6i\nKK3/8///UBTlKU+fF8RKVSmkMRMhzkro1y/z59/Ike7dM4KBQ4dYZwJtxXP1KkRF7wDwBZ07Q458\niTgkJ2N469Sxv57HxuL9ef11+ykX9+5hwPPmpYjGl3O8do1KuNdew3Y0akRl+8WLGesBv38f0tiu\nHU6Jl17CM2alNq+qfL5gQTbFrvPhwQPWv6pVjeHi5GScG23aGK+nd29IqLDdTid2WK/39uuveOXE\n965dY9MsOEVMDHZbcJvr1+E24vN//GFsRD96NF4sA/TEKm9eSUhu3WLiC/zxh3FXOn8+Sc8Cy5cb\nf+zMGU5GnJzQ59Fn3F+6xEOhN/z37uEidE3O3LvXuuxyzx68adWrWyeAOxy4IFu2xOX/2msw1e3b\nM9b9n5pWRx++AAAgAElEQVSKe3L4cK7/yScJuS5c6FvOzo0b5MDlzg1jtpvUvGwZYzxpkv0H6uRJ\nvG++lnOfPGlefGAXvXuTiB/og79wIfMh2Bo/9+8zdwJp7+MrUlKY95kt+eArOnWi+keHTCVWiqI8\nqSjKVUVR/sfudwSxOnKENScrh1yTk3n2vXkBgom4OPPuGYHC6SQfKtCqV4eDSMKoUf59/4cfcCb4\n4ulKSSE01rCh/fXl4kWqljt2tEeOVJXNeWgoBtvu+SUnE5KrVIl1ql07cqUeliab04lt/vJL5m6l\nSoT2zOxtXBz5ULlzu3vz0tO5lrAwY2pMXBxRNX2lano6TpKJE+Vrx45xXOGUEMoF+nzcqlWN+ZVv\nvSWLIFSVNVhEv65dwz4KzJwJrzBAECtVJW4qGPjWrcYyw2HD0GcSaNbMyAJr1TJm17dqZVxoFy8m\ntikIgcPBAOhztkTPH9c+hOvXsyNes8b4emKi7C+0aJH5wnjrFscrWBCWOm7cw01ej4xkcr3/Pm79\nzz5j8tld1I8eheCGhdnvW3X5sux4bnfXc/EiYzZzpr3PC2zezCS+dMm372kaC8BrrwVe8aSqPCiu\nyYzBwKBBJg9RBmPIELywWRl79uD10c3jzCZWpRVFOaAoyhxFUY4qijJTUZQnPH1HEKuvvnLXvclq\nmDOHNSMzMWIEIZ5gY9Ys1vlApQBGj8ZY+1M5K1S6fenbJ/J76te3H44TfQ/trmlXr+JBe+01+5up\n27eZv6GhOBdWrAgs51dVCW9ev05C/oEDODb27OHfly/jSfI1dLpiBetyvnzk1JoRxv37Cf+1bGkM\nsaoqOcdFixrTe0SPYX0bsAsX4Av6TUj79sZE9pkzjc/T/PkQZoHhw429MGvVkiLoDgeSC8LDtXy5\nu0bWn8QqMRFhTIFZs4ydoevWlYzO6eQmigu8d4/YqhgIUSkk3HpJSYSJ9Dk0331HjpbeZdewIQ+y\n/oYtXMgDoNef0DRYaPHiuDjNEgBPnZK6Hp07+y4gmZ7OdZw/j9t6927CSwcP4o27ezfwhPU7d4i5\nP/ccRGnOHHu7C1VltxcaiqG3cx5xcUyOt96y39bnwgUeAl/De5MnQ+T8Sa48e5bd1oULvn/X9Tiu\nYedgICoq871WQoQ3M3NrfIWqkviqq4zKbGJVVlEUh6Ior//n3xMURfnG5HNtFUU5pCjKoWeeeUZT\nVVIRMkJgNpgoWzZj2shYIT6edTfY3qrYWHb/vqQnmOH0adPwsy3cvMk5+CJP43TSieGDD+yv+0uW\nsEbrNR2tINb0XLmwjXaI282bOBZEPrFZlxJPcDhI/fn5Z5wmNWoQunviCdKAChRgHQ8Lw8P4+utE\nAgoXxt7/+99IGlStCmmZPp18MG/nfvQo+V6hoZBj17Se+HiIVZEi7uRy3DjWGb1z5NAhd8HpiRMp\niBOk+949Y+P45GRjJCAhgTVW5DIfOQKJExg6lNxtgaJF5bOxZYsxWqdpmiRWt24ZGzD362csPc2f\nX3ohDh0yNh6cMMGYkN6/P25PgTFjjIxOPBR63Y7Bg/Fg6WPW8+dj2F3LSX/8UVYMuLLmy5d5APLk\nQSTNW+uW2FgesNGjIWLly3Otf/87C0uRIuRIlS/PLuLVV7n20FCk7ENDmXSNGvF7q1d7zu8yg8OB\nN+6dd5g0P/5o7+ENDyeZvlQpyJ43OJ1MjmLF7HvtTp1iAvpSaq2qeCw//ti/8MqECcyFQDWcevSw\n1FgKCGbd0TMaTZoY8xWzInr1Mnh+MptY5VUU5Zru35UURVnr6TthYWHagQMsklk5DHj4MOtCZoo9\nfv99xrSu6dfPuGH3Bw4H67E/nu30dDz+337r2/d69cJQ2+0ZOH06tsuOBEN8PNWeJUrY81LFxMiK\n9549fds8njuHPa5RA3L0wgsk4Q8fThHKsWP2pS/i4zmeSGBv3hxnR7Zs5D+NGuWZ7J05gwcwf37I\nnesz+PPP2HnXpvTff8956wu6Fi1CX0qcu9MJ2Rk/Xn6mf3/juj14sDES0LQp4WHx/dBQKWC9di2e\nRIEPPpBFXkePEpI0QBCrU6eMUu2NGnFhmgbbe+opeeEjRxorrypUkPHI5GROSLjh4uIgKGLCmD0U\nGzcyCfUTZMUKyJFeQTc1lVhr8eLuHo3oaM4pJITQiVXJfVoaO4gvv2QwnniCG9ClC3HtHTsYTDue\nI6cTr9bu3YxVr14k2uXMiReqZUu8Pb54GvbskRUgS5bYa8kjpCf0oVhPGDcOD6LdHY7YEehLWb0h\nORlC6k8fP/FQTJjg+3f1iIlh7gVD50UP0R09I1p7WGHnTghxViYABw+yEfnPOT6M5PWdiqIU+8//\nD1YUZbSnz4eFhWlffZX1W9i0b2+UrMlopKRg7A4fDu5xb95kbQy028KkSZAjf4hm//6s0b5894cf\nIN92Pf1jx5KzZyfMeOYMIfSWLb0LJTscbLrz5IEg2N3AnznDhqdYMexsu3bkMWVUhXNkJCStXTt+\nr2hRz+rre/diK955xz2HUKjZDx1qXPuGDsWbpr8n7dsbN/PnzxtbMIlog7gvrpGAVasQ+xT45BOZ\nB3jnDnNXHLtDB9na7+pV7KkBgljt3AkjFyhfXobfNmwwqpFWrSplFsTDIjwss2cbY5fDhhnj9FOm\nEBcXEzs8HI+IXuZh40bImf7Bjojge7VqGRm1qkJA8uWDfZpVlTmdxNRbtGAgX3uNG7N3b8YoCTud\nEMnJk/EoZcsG2502zb5uyZYt5KS9+aa9ipeTJyGcLVvaq1SZPRsPpV1RO9ECx5ecBNHHz58F+tw5\nHgI7chmeMGGCMXYeLHTv7t5NICOhqtzfHTsy7zd9hQir/WdOPQxiVfo/Yb4TiqKsUhQlh6fPh4WF\nac8/H5yelRmFxMTMJ/E//ZQxCvStW1OgEgjCw1kX/OlSsW0ba54vhGLjRtY9uzmj48axubBDHtev\nx8799JP3z54+jU2uUMFebm1SEnlE5cpxzb16QVIyu8WNqpI31akT9+3dd/H0uJ5HejqeqJAQiKn+\n/du3iRR17ChfV1W8dRUrymT45GRspt5p078/3n6BIUOMHtPGjaVXKzkZL57whE2bZozE5c0rIz0j\nR8qc8+hoitIMEMRq9WoqsgSeflo+zMOHy3LClBRKEQVBGD8ewiJQrpwU/4yNNTZZfvCAiSQ8CA4H\nDFG/Gzt2jM/oc6pu3cKo9OplHPD796lMLFHCPQdLXPCoUewehOq6r2G6YCAhAQ/cRx9x4xo1gsh6\n8z44HDx0efNixL3taBISyFMrV86e7tXixe5eQU/48Ud2H76I2i1axHf8US0fNgxiGghSU/Ee+lup\naAXRdcBbqDmYGDs28DBKRqNHjz+FfrO8QGiJEmHaM89kbS/gggXuDe0zEkI7bcOG4B5XdOAI9Hlp\n2tS/QoPYWEi/awGUJ1y6hMfbrr7etGnu+T9WmDKFdd3MbunhcBC2FGLY3ojR/ftUu+fOjT1fs8Z3\n3StVhXwePEgKyOzZ5CyNGEH+19ixOA0WLyb6c+aMvcr6lBTmc1gYNmHGDPdzu3KFNJBq1Yw2LCYG\nx4q+pY3TSSixZUujl0rPOeLj8b4K4evoaGOO7ObNRhHmhg1lNfy5cxRwifeqV5fhv0WLZLs/h0PT\nHnvM5d4IYjV/vvQspaRQIShyXBo1kgqoO3fCHgUqV5Y/Jsr0xWCNGGFki126GEX4RozAEyZ+584d\nXGpLlsjPXLzIA+EqPvn77/xW797uXqc7d0imy5GDG3HwoL3FMyqKsNfatVzv+PGQsZEjIWhTpmja\nvHksOqdP+6fwHRmJF6VIETxnixZ5zyWKjCQGX7iwuZCaHqpK7LhQIXuESeSx2fVEde7MA+vLzqdJ\nE/9EO1NSiKUHmrT788/s9IJtQD/9NDiK8XZx966xSCQrYufOP/MNsjyxyp8/LNN1oXxFtWq+a8oF\ngi1b2MQG+1n57DM3OQ6fsWMHhs6f3qKff47HzC4SEkjUFuEeb1i82N46qqp4UYoW9V4Ac+0aHpl3\n3vHuAYuKIqSdMyeRG7sePVWFjMyYwffKlyfCkisX4blatcid6tSJvK5evRDsFGG3ypWxZf/4Bw6M\nOnWw61u2WOejqSp2rEoVwpO//GKcb+npbM7y5jXau8REog/6qsyEBLxUY8bIz02ebExcnzOHxHth\ns/r35/w1jdeefRa7r2nYY+FgUlUcDyIX/KuvZPeN3buNrXCyZXOpchTE6ocf5I9dvowRFyhRQrof\nhw1jYDUNg//kk3IAu3eX+QrJyZyUyK0SVVoiVCcS2EWoJzmZm/r11/J3L1yAbeplHZxO2XjStdoi\nJob3cubkHD25z8PDiTP36AETzpULT9wrr8BMmzWDRHTvzoD26EHMuEkTEvOKFaNyIn9+Qp+9eyM8\nZndH5nDw+TffJMa+ZIl3srJmDZ7Efv2854DNn8+uRd/jyArTp0PE7DTwTEsj/8lVEsMToqKIk9up\njnHF+vU8uIFojTkcjHGwFcwPHWKhz0ydmJo17efSPQw4HH8+11meWD3xRJjPjcszE6K62m7CdDBQ\nv37wGzyLlIBA+gE6nWzo/SGZv//O+ubLRrhVK/tq7Dt2EGXxllbhdGJTwsK8CyGvW8f6/d13nu1C\nejrkLzSUc7aTOpGUhO1p1QryUqAAdm3SJK7Fn+rjtDQI2pIl2N7y5bGn77+PI8Gs5Y+q4qQoXRob\n7FqBumkTY6BvaZeain1u0ULemxs3sIubNvFvp5Pjifxep5MxF6oGIrdK2OohQ6TwrhAHFeT9o4+k\nU+nnn/Fo6X9ToEABF0+lIFYjRshywq1bOTFxIf/6lzRs1avLCrGff5bVfunpECmRVP7TT8bcllq1\npJCX0wmh0Cc2f/45FyEm0a1bkDv9oMbH4/qrUMEoFKaqeJLy5oVdm00uEevt3RvXX44cnNOwYdyQ\nO3d836WJvku//srNee89mGvp0jDuw4ftJZ9v2MCNDwvz3qvv7l0ma4UK3vtTbdzIgiYmnCeMGAGp\ntOMNuXuX3Zmd4wqsX8/99Ge3WbOmcUfiDxYv5mEP9k68QgWpb5IZWLbMWJ2SFdG8uaZNnpz1idVj\nj4Vl6d6A339vTLPIaNy8yboY7F6brVu794H1FfPn4+H39flNTCQVwBev96JFeMrtjMPFi9g9bwTd\n6cQj9MYbngU/VZXoSL583sOEu3djaypX9h6dUFU22S1a4PWuXJmIzKVLGRcKj47GG9W8OUSmWjVC\nga4RJocDLiD64+pzhM+fx7vXrZvkBgkJrOU9ehjV0PPlk7xAOG5E6s8ff7BBF54ufbRBhHzFBrlK\nFRmFGz9eVg4eOoQXU9M4zt//Lr/jVtEpiFXfvrIEdd48GcI7eVJKKzid3BTBths1ksRn/XrpGlNV\njLSI0+/ZQ4hPLGLTphkF4lwn8oMHnKg+zBIeziRq0cLovbh0CUJTujTEyRW3b5PDVbQoA9u/PxPS\n17izXaSlMYF79qT887nncB96c+UKcvj005BMTzsap5NrKlDAux6M2E1589aoKgtgzZr2ZA5cJ7Id\nNGtmFJm1izNneEgCyc9wOJhj+iKJYGDhQlz1mYWkJIyfL01fMxuLF2tajRpZn1hlzy57BWZFlC0b\nnAbFdjFwICGfYELkItqtqDNDcjIeJ396ifbujZ2yi2vXWC9FaMgTYmKwjfqIihlUlXF9803PZC0l\nBYP/6que7UViIh6WfPlYfzwRo+Rkzq9YMbz2o0dnbr9TgcRE7Pw77xDlGTHCfT2/dQtHTenSxor1\nqCjZg1fYpgcPyJvWS9D07YszR4zHgAFSMkR0fhFKBwcOwEkEDyhfXpLv0aOJTonPCTIltD7Fd/Ln\nl04cfbGfpmmSWHXqJMvb9d6rxYtlryjRFFHTOHjOnDJ81LSpjEdv386NFMSpenXIlKZxU/UJ7Fev\nYjTFRE5JgdXrmzlfvQpBGTbMOImEzsXo0e5E6fhxKRDarh2eoMxOUlVV8rs6dGCsatXyHpqLjSVR\nPU8e7406V6zg+hct8vy5PXvsCdWlpeENcet7ZIE+fXxrQXP/PjsDf6oE27e3f15WmDUr+NVOKSnc\nK3+qlPyFaPKdVREVpWnZsmV9YlWoUNYlVleu8Mxm1AbQFQ4HhsJulbBd9O5tVLD2B5MmGZvi2oUo\nt7fbwF5VWf/sNJNXVaIner1GKwwaBFnyFApNSGBtqlvXc6HP4cMQpMaNPYfskpOxi3nzskZv3Wp/\nnb5+HY/Nd98RLqxeHbKTPz/2Jnt2UoDy5cPOv/km5LV3b9IUTpzwPG+PHiXnLiQEm66PYqgqSfqu\n8kEJCdybxo3lsW/c4PrE5iMtjc2I0KJKSjIS8k2bGDvBS/SFdhMnysKgU6f4nqriXfv3v+U5Fiok\no3Llysn+olWrujgvBLH69FOp2dC5syRZgwfLvKlZsyBQmsYBS5WSF5A9u2TC+hLGQ4fwrAj3X/v2\nMkfLtdeTquKtadBAXvylS1yMXtMoPp5BePFF94Xg/HlY6tNPU83oycsRE0Ny3LhxXHOtWiTsPfcc\nBCBbNohZ7twkuJUvT3Je167sArZvt+82T0xkwjz/PBPRWxht3z48LJ995vmBPH6c8fWWZLl9u71m\npQ8ecK12uq+npbFg+NL2ZsYM/xLJ79zhXgRS1Zmaal+0zxf07m3cCGQ01q0zSqNkRXz8cdYnVqKl\nTVbEmDG+JVsHig0bMErBREICBtKf9lYCyckYdDseJFfUrOlbH8GpUzGWdsjsmDF81lsoeepUnBGe\nPPtRUTgTWrSw/m094fDUCcPhICeoYEFslZ217u5dbHujRtgS0RqnWzccIuvWMf7Xr3MdUVGE+W7e\nJJqwfTvRlm++wfaL/ON332X8jx83X+8vXEArKl8+uIf+MydOcJyuXaWXKimJNJiGDeVromWQUOAX\nMj1izi1YwLx2Ojl+2bK0oNE07FatWvx/eDjhypQUPvf00/IYr70mZW6qV5dkrG5dQp2ahvPJkBIi\niFW9esYPCcOqFwpt314SpqFDZVhn+XIZDomIgGQJNt2ggdxdnz7NTRNkZ8wY3HNikKZOxb0n8nyu\nXmWCCG+XpsFSX3mFuK2e6UZH4xkKCcHjZsb6k5Nhld268TuPPw5Z6tCBc1y+HNffhQsY8pgYXNh3\n7hBL37WLz4weDZN//XWOUaYMu7ING7w/aA4HHqYiRYg5e9IkSUigv98LL3gWubxyBcL27beeCcuq\nVfa0qIQgqB0B0RMn+Kxd0T+HAzLmzctmhh49tICruIYNC37eyvnzPNyZlcSemho4ycwE/EWsAsCb\nbwa/2MITGjaUO/1gYcoUkx5qPmLiRGn8fMHvv7Mm2s2hu3ED22Gng8WePWy2vSWKr1/vXQPrwQO8\nQV27Wiepp6QgKVCypOcm3MeOQRzeeMN7flZ0NPfnzTex1598Ql70hQvBiezExJB73KkTubUvvghn\nMKuEPHAAm/Duu8axioqCV9SsKW19cjL5YV98Ic9zwgQ4gSjy+O47CJCqMqZly8qihxUrZK5eQoJR\nI04vdN60qZRd6NhRhhy7dJH5vh07ymbPzZu76JEJYvXeezIBr3x5GbJ69VWZuxQWJtW3K1eWMUm9\nFPzYsXi/NI1JEBoqB6VWLXmC168bVVD37uWzws0WEUFelL5L9eHD7F5Gj5aDqqowxXz5IH6uHiqn\nE62KVq0YxIoVYdb79wfHzZ6SwpgMHy4naaNGjKWnXKXUVLxMefIw+Tx5pUTIUy9D4Yrbt3nwvGm8\nTJsGUfNW+TFtGsezU5H0zTfG2LY37NwJYfa12kn0e7JTvWiFyEh2JsHOM6hYUYrmZgaaNfNP1T4T\n8Rex8hOi92pmJdbHxhLaCSQPyhWqyvqxebP/x0hNZZ3wta+g08lm15eikvr1jS3crBAfT0TDW4uv\nixexZ55SP+Lj2Zx37269dj54wNrSoIF14U9KClGl0FC8MJ7W4aNHWTsEmVq7NuPnmapCRjt3xo7V\nrk2kyFViYcwYOMHUqfK9tDRsd9my0rbHxDC3BJdQVTYGQtInLY0cbeGZ2rQJm5eeztwoUkR6oFq3\nlqHfkSNlaHf6dBmdmzVLCoVOmiTzr4YOldG8Tp2MXOVPYlW+vIwXFi4Ms1RVwmFRUZysiDUKkdDY\nWJlrJTwWpUrJBOH27WU1yN69uBlFxn/9+lLXRIi3CcOUlARJ0av0/vEHN0UMlhjgjz+GDbtO4MRE\nmbRXqhQ3LRCDbBf37kEyw8JIjvvmG8/hyKgowp8FC3quXDl6lOO55pnpERmJJ27ECM/n2LUrRMgT\n8VNVxtaOuriYyL4sZPXq+eamF/jyS/8S4PX4/HOIcDAxbRoLVWZh2bLMFY70A38RKz/x008Y0szC\nnDmBC/G6YseOwFswzZ7tXwXswoWE6ez+9rp1eLfsdKxo0wbvkSfEx7MOT51q/ZnkZK7t88+tz/P6\ndTTFune39madPYu3pm5dzwUtO3YQRsuXj3U3IsLzNQgkJZFz9NtvEIchQ1h/O3SAyHTvjo2fOhUP\n1alTnj33IiWmWDFIpasu4/nz2OtGjWSajVBZL1NG2tIbN+ATIsomJH1Eis3WrdjLxESZuC5SnSZN\nkuKe27bJ5PTTp6Ug6PnzHE9V6czw0kt8ZsMGOSenT5e9B3v3drG7gliVLElYR1XJfE9IYFcfEsL7\nx45BYDQNEiPi8Tt24MrUNCoICxRgEkRHG7tFV60qQ3obN8L6xUTWi7cJg964sZxMmzZBqvRVIYcP\nc4yOHY0PREoK4crcuc2ZsStiY/E4LV5MeXOfPhjvTp3469MHIzxzJqJn167ZF8c8epSHMEcOJqCn\nif/HH5DLjh2tPTnh4TxEHTtak6LwcMbFkxZNWhoexz59PJ9/ZCQPop1d5/bt3Hu74pVnz7LD8lUz\nRZSEB1IheOgQD12gTZ71ePCAXX8gWj2+IDaWzU2wS+ODiL+IlZ+oXz9ztcqqV/cvNO8JTZsGVmCh\nqhgzX6siRfWvXU9ZWhqfFyEgT9i4kXxfb89406YYXCu743SyCfvoI+s16NIl1ighUWSGBQuwi9Om\nWf/WhQvYwcKFIQLevFMREUhbtG2LXf/3vyFBH36I3RkwAGI2eTJ2dvRoiFWbNhQYFCkCfxB2asUK\n8zXe6eT8CxcmkqUPcSYlwQeKFZOhQUGuXn1Vdv44fJjrF9/duJExE/enUSOpt7htG+fmcOCQEVEL\npxO7deoUv/Hcc5IH5c1LOpKQnEpKkjnfmgaRFGKi33yD4sCfEMRKeKmEQJamQTjKleP/58yRZavD\nh8sE9N69GWxNwy0mkngnTZI7+H37OJm0NP6KFZM6EevWkSwtDIRrUuCWLe6kat48XhOCX2Lgly7l\nWB9+aJ6TJJjolCnsCAsVIkeqbFkm+RdfkKc0dizsfOJEPES9exNDrVQJovHkk7DWvn05P2+5NTdu\n4CXKmRP3oVXVR3Q0Ls1SpdybTAvExKCz0aiRdSjzyhVCpnrvnivu34ede2vxsG4d42RHf6ppU98a\n2n7+uctktImWLbkvgeC11wJXdHdF7dpSTC4zUK2a53v8kPEXsfIDaWnGQqCMhtgQBFPNPyaGa7Dr\nFTHD5s0QK189XgsWEDqz+71Jk3iOvEHoYXkjYPPm4YDwVNk3eDB5UFYesqtXIQhWHi+nE9Hq557D\n4WGGpCQ+ExJCiMuTNy4iApL05pvMhbp1yVvat8+eF88VCQl8d9QoSHu2bPz355/dN4IpKZCzkBA+\nr7dpU6aQRC4KF1QVO1qhgjyvKVMgceLfrVrJcN7161KaRlXhFStW8F7LlpK0fvmlDAN36CBzqOrV\nk7lZJUtC5NLSUJlPS+MaX3uN97//3iW6I4hVaCgP84ULuEU1jUkiyFSPHjJ8UrOmDPuUKUOinKrC\n/A8ckDpWwi330Ueyqm/qVPK5VBVmWbCglAHYuxdPk5CQP3SI8xKhRVVlkhQqZFRpvX0bo/bSS+Y9\n4S5ehNAUKwbh+OwzDOD58/55Le7fxygPGMDAPvUUJPK33zznbV25gjfumWdgu2ZQVUKJuXNb97dL\nSmKiNmliff4iAd1Tcvz27bByb+XITZvaq3q7cQPyaLdh7OXLPFC+9B7UNBaT/PkDSxafOjX4obt5\n84IfUvGE8eMzt3LMR/xFrPzAtm2kEWQWZs2ScjrBwowZGKVAUKeO51CaGZxOUhLs9jmMiWGdtVM5\n17ev9/Xi8mXva+4vv7D+W625t25BmAz5OjokJnK/KlWyJq67d5Of/Mknntf27dtxMGTPTg7R+vX+\nESlvSEjAI1qrFkSnSxdZxSdw+TKJ6q+9ZnQqrFzJmIp76nTifGjcGFupqlyn6BoTFQUZE0LbX34p\nC56WLZPV1Lt2yVD1rl0y1LdypZTkGT1a5m01biy9yIUK4bm6coV7qWl4Ddu00V2QIFaPP86uZdcu\n2LSmQUZEMnS1apQZqirGMDxcJlmmpTE5hfbDoUN4wJxO2XwzPh5CkD+/TEbs2lXGKKOi+L7Is7p5\nk88Khul0ckNeftmYK7VgAeRr4ECjm1NVcSNXq8bD07lzxmlZ3bnDwL7xBkSld2/PFVtbt+KWbNzY\nOmF082bOe9Ys8/eTkvBctWxpHZpcsoQb72n3O3AgY+QpvHnvHudip6t6376+Vd199pnsv+QLKlXy\nnMzvDVFRzN1gNlGOiTHpGZWBOHeOZySLNhH+i1j5gf79ffP6BoqaNT2X7/uDt97yntztCTduYIB9\n9aL9+iuhIrvPw9df22tqfvEiNsxTKofTSXqFp9CdaBBspeMnkrKtcmTj4lj3mjY1D+k5neRA5c1r\n7clWVUJmlSrhQJkyxf56lZ6O7T14EBK2ejX2es0abOuFC94Lkm7elJ60Zs2MbWBUlRBjaKiUNNA0\nUo9CQ6WjJimJ/CwhaB4bCxkV35kzR3bZuHtXeq0cDniJ6B1ctCheJ6dTVsuLiF1KCmlOImI3bJh0\nLp1hrEoAACAASURBVFSuzLnExxMi1DTCp/q+yJqicOD/+R/+u3KlLG9t1UqWHObLhyfp4kVikpoG\nC61dm/8fPFiGB7/4QrrWunVjIDUNt6s49rlzxt6BjRtLIbnERB4Qka2vqjDSihWldyMtjd8pUoTk\nMj3Wr8djVrIkCWt24sonT7JbXLWKB3TNGjxpp05hfO0+rGfPygbQ7dtbl+QmJjI2+fNbV46cO0do\n0yrJOyEBMucpV6pfP8KWVp6t9HQmj17SwgzTpvEwehuH2FgeAruCmWfOQNp8rRBcsgRiGQg+/tj7\ndfuKmjUzr2muqrp7b7MQ/iJWfqB8+cAq6XxBYqIsTgoWhNc6kEqzwYPtCW+64q237D97UVHGqnRP\nqFfPe0HQ9Omso1brbEoKOUtWua/p6UQhOnY0X2NjY/G2tGtnvgmOjmbt8dTq7PRpNtHFikGmPUVX\nVBWb+P33ELmXXiIEljcvtrlaNXKqatcmKb5cOYjav/4FyalZE+Kze7d5ZCEuDmKbMyc2Sh8i3LMH\nuzh4sByLHTvgC6LALjyczwgytWUL0a/YWFkVKjbeXbvKgqeRI6UzZ8gQ6ZFq3Zpr1TS8Ztu3Y18f\nf5wcq5UrpUjtZ59RYCLy0RMTcQAZpEUURUq1a5ox0/3dd2G3MTGa9sQTnPDChdLN27atTFAMC8MT\nk56Oobx4keOGhMgEsIIFpXRD7dqSMKxZw00RGfxNm/InBrV3b/KgRFLa3bsY+Ro1jGGkU6eYnEWL\nQpDMJuiDBwxCly4cIySEUF6JEvy7Vi3+PvwQw128OJ6NbNkgdp06MSm9NdG8fx/vTUgIu1Cr3df6\n9YzXxInm53vrFiFWqwc7IoKxM2ho6JCermlvv+3ZK3TyJJPWU9Wkw0Hul53Kv+HDIcp2UaOG7wQn\nNZVx86Tr4g2rVjE2wcS0ab5de6Bo1cq7OOxDwl/EykfExrLOZkQ4xgy//sruO5gYPTqw8LTDwcbd\nKnfICr42RB80yHt1n6ax2S5c2PM9uXOH9dOT1mC3boTwrDamXbpAVszITnw8G+gOHcxJ1YUL2IjO\nnd378Gkam9Zu3TjHCROsx0hVIUJt2+JIefZZiNxPP+G8sEOW09NxCCxfzm+WLm0MNbpe361byDMV\nKmRsN3bnDl6pVq0kWRWNqUXodvdu5IpEdKhVKxn227KF809JkQVPERHYZdGA+eJFjpeezrMgNuq9\neknHUMmSzC3h5NA0ojxff83/FyiA82TDBpeuHorCD+bMyb+HD5cepiJF8Dzs2wdL1TSq20SuVdGi\nhIfCwznxtDRjz8BZs2TOyaxZ5FZpmnGyxscTrhJ5Vj/9ZNRP+u47SI+IJ1+7Jnv+iUmWng5xCA2F\noLhOnMhI4vWVKslEupEj2Rnabb4cGcnnx44l/p89O2MyfLhnQnLrFpPKUzL55ctS9NRs0oeHM9ZW\nrRZEhZ3Q5jA7hzx5JNs3w6BB3vMiNm/mvnl7wOLiOB87YnuaxgP14ou+h7S++iowxfOUFN9ywuxA\n/yxkBhYsCFyEMYPwF7HyEevXB5/oe0KHDp5DV/6gfPnA+hv+8QfeBl/RqpV9CRWhCG9VICSgqniA\n5s3z/LmWLWULODPs2kXej1Xax+LFbI7Nck3T0/EIWVUZHj8OCbLamB45gnOgYUNrZ0BCAg6SF17A\nmzV8uD1Pnl3cvQuhK1eOcRg50j38uHYt19Gzp7Qv8fHkXTVuLNfThQshYYIPDBok26o9eGBMWfng\nA6mv2aqVdC40bixz2F57jbBeQoKUkFq9WnKVzz5DESAtTdP++U/Obfp0Cq80DeJ45AgerooVdRek\nKMQ5RXivRw88SXrZhblzZfywShW8WHfvwvycTkiTSOxr2VK61MqXJ6Hb6eTm/vEHx33zTTlZ+/SR\n4lvXrjHhBSNdtYrzEsTl4kUGVai/axo5XG+8gXfN1UCeOsXAZM/OxPr1V3NG7w/S0iCIbdtiSKtX\nZ0GxIge7dkEIW7Y0L5FPTISE1qhhHhYLD4cxW3mm1q+HvFnlUy1dCnmx2nmlpODC9dZqRz9ZPWHo\nUOn59AZVJXfO1xDI2bM8qIHIJjRvbp0o6i/KlPHeEzJYuHULr6hdCZBMxF/Eykf07y8rrDMDzz/v\n2cviK27dYqMSyKaiRQtpP+xCXz5vB5Mm2UvY37CBNdPT+nLoEOExKwmG5GTIipWn/8IF67wrVcW+\nvP++uSdLFHvpq+P13x07lmPPn29ul+LipEOiQQM23r5sbp1OyE90tH2x7ePHiUblzMlc10dyIiKI\nFlWsKFsAJSVhcxo0kL/x1VcQH4cDe16mjGyrNm2abJl26BBkLSWFeZ4vH3Nz40ZZzTd8uPRyvfMO\npOrBAxwwDgdzUTQmf+EFnAXr1kkNwXfegdccOOBSdKIouLleeIF/t2zJSUZGQhg0jQEQ8c4cOZjA\nK1ZwwZoGA5w5kwvPlQuCdOECXpL0dIz1yy/LxLnixTnpCxdkUqDTyUmKkJdQbd+3j39fvAhx0DPz\n339nYo0bZzQsp08TasyTh6QzOzkEqspDEBXFf32ZYElJJMwVL07I0ioMGR+Pm/y558x79qWlUYVZ\nubI5+Tp7luu1aqY8YAATzszIiqahnuQNVqzAW+jpITl4kPvgLSdKKJx7SvjUY/Jk/6r0ypb1TgY9\nISPCIb17S/2UzMCzz2bJPKu/iJWPePvtzGtjc/kyhCCYhQ8//CC7bviD5GSj9qEvvysEH73B6WT9\nFR1ErKCqOAbMSIv+M2+/LfOQzeApEpCezvpl1UFh3DjSL8xswf792EczyZiUFJwVYWGywt71vOfN\nY1ParJn3fNjYWH6nb1+u5aWXIB6PPUboWvz/P/9JRKNaNcjK/PnW0ZyrV/ntAgXI1Rbz0OnERhUu\nLNe0lBTCbB068Ln0dBwpYhMiUllu3IBXlC4to0Pvv0+VqqZB2JYv5/t588IxzpyRoqDDhknJhKJF\nCUdv3iw9UR9+iG0/fpwomqaheLBkCecgXtM0jaXs6FHZULl2bX782DGMrKZh8BYs4MTz5OG1r74i\n+UtVpUTCjh2EtDSNGKRIRq9fX5bOVqkiew82aCDDW1OmMJEdDrw3JUtKEiXyiH78UZ73jz9yLnrl\n1thYGUseN87c+Dsc7A7GjsVb8cYbTND//V+S87Jn579/+xuvv/EGnxszBlLhiXQ4nZCTUqV44E6d\nMv/cL79wbDNRPoeDuPYbb5hroYhmymZu7PR0wp1W7v3bt/nuyZPm76sq98dbvlPt2va8PJ062dep\nErtOb7lrrhg3LrDef0lJaLcEornjis2bZTg8M/DZZ8FPwg8C/iJWPiA9nVCEr9Ij/mLGDNmyI1io\nUcMzEfGGX3/1LxT6+uv2NenWr7dXObh9O84GT96q33/HG2VlE65eNXYlccXIkVJ6yBW7dhmlh/S4\ncAFiILQg9YiKYqNYr565/bt6lffLlJFOCzPcuUNkqHx5yFOVKpDEpUvhC9HRxrFRVezV+fPkTI8Z\ng90PCYGkDBhg3nt21y7sZY0axjV47lyuXygIxMRA6IRs0927EEMhSTRokJSG+u03HDlOJ04IoYc2\nd65MQO/USXYxKVwYm7h7t0x5atYMZ5GoKlRVEt3HjuU8hdOpTRu4yKVLMgdL0zSWsr17pSF46y1y\nXtavl8JpYWHchHXrpJz7O+/wmbNnOTFNI6wnSoVLlMC1eP8+ZCU2lhsi9IeOHWNyJCbi3dAb/Hbt\nZPJ6SgqMUV/5NmQIk14fB962DebZqpV7J/H0dM61aVOM94svwn5nzIAM3r7tHiJMTeX1HTsIdXbs\nyA0SPZZWrbIOKzoc7EJy5WI8zD53/DjnO3Kk+4PldHJja9c2f2inTmXimBEvoQ1lldQ9cSL3zmph\n2bfP2HrI6jOFCnl3/545A/m1G35t2tT3sNzNm4GHH2rXDm7JeXKyjNdnBqZMsR92zUT8Rax8wNGj\nsrNFZkBEGYKF5OTAKww/+8z35//cOeyI3VBU7dqePUwC3gpqVJVwkici2aABKRFmOHtWFna5IiLC\nWrz57l08bmbXcP8+jo0uXcwJoZAmGjXK/H1VxY7WrImd+/TTwLWtnE4cEt26cZ9efx3ngz6qkppK\njlqBAsYE9l9/hVyJMOmVKxxDkOi1a+Ee8fGkLBUoIDU1y5Yl/Cp6Voo8KtG8fts22TGmQwfGJDWV\ndTsmBlLZvr2Ul7pzh01858689o9/MC69ehFlu3ULovcnFIWLETuFl1+G9Pz0k9T4yJGDmzZmDDfN\n6WTg79+HrYnPvfIKF3b6NATK6eRkxPstWsgEw3r1ZCxdtI/RNHYBQpZeVflu/fryRnz7LQuQiKc7\nHIQp8+Z1V8WNjiaGnDcviXMTJ9oPTVnh3j2uWVQU9uxpnfx85w4PaNmy5kTn1i3Gu2dPd6KTmgqx\nbdvW/T1VJefNqvpmwgTIqFlIMD0dgij0wcxQq5b3dhR2S5srV7avN7Vxo3/iiK+/LhuI+4OpU2We\nX7DwzjveVe2DhcOHXdzQWQN/ESsfMG2aPU2lYEBVyTcR7UKCgd9/l+KL/sC156xdDBwoZX68QRSW\neOsicf48Bt0TodiwAYNtldu4Z491o3lVZV20IpGffGJ+TWlpjLFZmkF0NJ6f/v3d7UV6Oo6BokXd\npYkEduwgN+mFF5iLnpTj/UV6OtGwsDDsnqvHbcMGbLVekmLFCjbnIly5ezf3RoQYmzWTBUzz5kn9\nqtWr4SOqigNFyEJ9/rkklrlz44j49VfpMKpcGR6xc6fMw6pUiSjEqlXS41WwIKRYdGYRqS9/QlGM\n3qmCBcmREl+IjUXLQVXZFf/4I56iggXlhU2fLpPZRYWe0IcoUwZ3XUQEZCwykhBZnjxMuvPnISiR\nkfz7uedknsGsWUwW8SCMH8+NF+QoIYE8rypVjIKciYmQrZAQFiurkFyguHKFmGzOnHjZzJInhehZ\nrlzmrtvISNyPQohVj7g4WLU+WV//3vPPS0FVPZxOQolWO7NNm0ikt9rlHT0K+/ZU/ffbb3LiecLi\nxfYbqToc/K5dDSyBUaOk8q4/uHaNnVww802GDg28WbRdpKXhrs8sD5lN/EWsfECbNsEvorCC2PkH\nc74Hmle4fbt/1YDFi0uVbW8YNUpWc3lCjx6yMt4K774rU1rM8N571uvvL79ALMzW3xUrsHFmhKxH\nDwy7K5lLTIRwffml+z1NSMADVb26+fpw9y42skABiIm3QqD79yEeo0ZB/ho35vj16pHnJipNly+3\nJsmC+BQtitNEb7svX8auDR0qr2XOHCIkIhI1ZAg5V04n558rF84cpxOyu3q1VOH/4w88WsJT9ccf\ncvPesiXPnF4UtE8f0pgE73E4cGBMnQopFSlTZcsSuZk8GduTkEBfxT+hKIhfCUb35JOw3y5d8Cid\nPMnk1TS8IFu3MjGE0GeRInxGLxb6+usY73PnZNWWEBoTFyRKHxs1kgqqgwfLru6iPYAID/7yi9SM\n0DQy90X+k36C/v475OyTT6xLRkWe1dy5DGLz5iSh1anDNbRqRQhvyhR7/ZIiIpChyJWLREqzyblv\nH4uZPk9M//3ixc2FQK9cMSbx67F9OztPM/f74cOQVytV3cqVZbdvM1Svbq36rmlc4zPPWKsICyQn\n+7YT7dzZdyX2s2dlJ3J/IZpvBgtbtsgOBpmB8uXdO8U/ZPxFrHzAq696T6gOFubNk+tssFC2bGDz\nr1cv34nZqVMy8dgbREhI33PWDMnJrOOevHkipcUqxWHHDvJtzNITkpN5z6wCOiqK9dysovjXX1lv\nXSUbnE7kVj791J1wRUQQqbGS8Zk/n2vt2dO6mbvTyZh17sx5Z8+ON75bNyJY8+dzbsuXs4meOBGC\nV6sWx372Wezppk3u55eczD3PlctIUu/cgcB07Srvbb9+RNXS0/l7/XWp3zdxIs4VVYXLlCol1Qre\nf5/PtG0Lz3A4sIsXL3LOQnvqtdekQLio+Hv2WTjMqFFc04MHXL+mQXB//ZVnqXFjzumxx3QXpyiQ\nok8+4WQee4wfb9iQmOyaNfLkcueG9Q0cSDJaRAREzOHgxMePl21uUlNhlmJwSpTgxO/cgT1GRpJn\nlCcPjPLKFTxM169zvAoVSBTTNB6gXLlkJd2dOzwk3bvLm5WYSKixUCHzRMbYWFycH37I+ZUoQTht\nwAByDZYuZbewciX//vZbdjeiw/cbb6CpZRYTFzh5khCZVejv4kXY+IAB7ovBzZs8OGYJ7atWcV1m\n7Vc6drQWumvVytpr4unh1zQehBIlPC9a337r0h/JAm3b2m+avH273BXYhaoyrnZa7lhBL3YbDAjV\n3swSe+zUST4vWQR/ESubSE9njbHT6DwY6NxZNpoNBsTuPhC19VKlPOvsmWH4cBkZ8YZTp9h8eZMl\nWbrUu4f98889a2Z98IG1t2ryZBlOckXXrkQ+XBERwaZ81y739779FlvpSvJiYyHrVmkmnTrhGbNa\nMxMSsOeFCnFvvv2Wjacvsi6qyriPG4cdLVwYO+DqOTtxAgdN9+7SKREdjWdpyBD+7XAQVROVgCLS\nde0az4/wVKkqv7VuHfMxVy64xZ49UiuxQwdseWwsnqqkJMbpm2+IhoWE8LnatXHoiG40qso8j4uD\na8ycSeRG3M/HHtM5eRQFV9unn8of0jQm1++/4wJr3doYEqxXD3a6YYMsVS9eHFfZ/PlSsLBUKdj3\nkSMYcVVlQgpj3KwZF6hpsD6R6DdxInFNpxPCVKKE9J7Ex+MyHjRITpgbN3itWTN3hfNTp2Ds2bOz\nS1u61PfKs6QkrrVtW27Ue+9BPMxIh6ri6QoNNW+0fO8esV+h7KrH8eMc3yx02bmzeSlzXBy7HDOP\nliCxVn0LK1fmfplB7PA8aUuFhxP+9RaP37HDPllyOBg7TwTWDJ07y7nkDxYtCr7QZpky9sMUgWLW\nrMzL0bGJv4iVTZw+jWHJLJQv791z4wtE7zl/ITbjdhPQBSpUsN9wWWzyvaFmTSIZVvCmmSXSXMw2\nVMnJeLoOHXJ/7+xZY4s3PZo2lTIAemzZAuFylTRIScGr1K6du426f59xq1PHPJqRnIyNFtpWolNK\nMHD4MDY6Tx4iWPoxevAAzvH++5J43bkDsRM2SlQCCps0dKjUI/vlF4iYqP4TqU1duuAIUlUcFydP\n4ngR87VCBXiOXj4qTx4cPH368BsnTsgcViGa3rMn9mbbNpwpmsbm6E9bqCiw69at8Zrky8frpUrB\nZgcMIFyml18oVowTHD4clikEtdLTYXKTJ3NiISEYyj59+FNVTmz/fplIGBVF9VhoKCTh3j2+J1S7\n27TBs6SqHKtWLaMK7b59nLMQNRW4ehVDkzs3lXe+kikrpKZCREuUYEdglTS9bx9uan2/I4G7d/Gw\nmHVvnzMHZu1KEBMSIKdm3rjZs2XSniu6d5eyF65Yswbjb+WVmjTJu7ZU9erek9j17lc7+PRTeyKk\neqxa5dJSwEfcvMnCFsy8k7ZtM6/dzIEDssoli+AvYmUTixZ573oQLKSlyV13sDBwoHmOqF0sWiRT\nS+xC2By7HuFSpaw7UwiICnZPzZ+9aWa1bm1dCfjDD7ITiStq1TKXydm0iXXf1Zt5/z52z1XlXlVJ\nr2nQwD0l5dYt8pr69TP3PG3aREpE3brm0ghmcDohaBERECE7Se8nT+INev5548YzLQ17/8Yb8h6c\nPAk3EN66DRsgSAkJODyeeYb76nSSt7Z2LcQyb142LMeOYYedTqI3AwfyPVHBKuauXvD8gw+wJ3Pn\n4vCJj4c0Cd2yP/6AU/TqBVkU62727Lq0HEVh8e/YETJTrBiv58uHJ6hlS4jXihXc/NRUKe3+8cfE\nGNeuhSFrGgzzzBlyiYRkwnPP4bXasUNqSgwcKBttNm0qXasdOkh2vmED7kPBYLt1g9WK8NWePQy6\nPinc6WSChoTg1fKW0Cuk8O/d47923fFCs+q551gUzaoN794lLGjWOPPyZcbYrAv855+be6d+/53x\ndU1sdDoheWalv8JrZXZ+QhFfaIG4QuzOXOUr9FiwQIaKPaF9e/sepcWLrd3lVtAnIPqLwoXtt+Gx\ng+nTM8+LlJjIw59ZrXRs4C9iZRODBmWe4vqpU1IMOlioVs3cO28XHTv63lpn+XJ7646msWkSm3xP\nmDHD+0ayfHn36nOBuDhrb5bTCZEwy586fBhb4EoSHQ7IgpmN+PRT88rBsWOxOa7HunMH2262Bqel\nYXOfecb62gRu3MC2N2oEoRACoTlz4sT417/YoIaFYcuXLbPWCFy+nO8MHy7vjapi/6pWlWv52rWE\ncQVpadJE6iPOni0VDebNkzykb1+cCpqGQ2jXLv6Ezma1aozrxo3S41SoECHG3r0JC+7bJxPdQ0Kw\ng40a4UETbW1En0ZN41r+vPeKws3o1o1db9myvC66Nn/wAbHLceOIZ587xwTRNDwrJ07glenTx7jr\n/+gjGN+pU9wwEdscMYJBzJ8fNnrjBoY/JkYKqkVGQuBeeEGWrK9cCXMXg3viBBeinwh37jBgb7xB\nXNUVqorhnDwZF+KLL7J7y54dgpYjB9edJw+D3akTpM0TC09OZlHMndvcmxQXR8WGWdfyAwcYL9d8\nLOGdMlNh/ugj8/j+hg140cx2Ih07WieGTpwohdXM0LSpZ69LfDwPljdhw7Vr5QT2BpG75ytJKFMm\nsATghg3xGAYLBw/KBzkz8NxzgTWlDjL+IlY28ckn1iH5YGPhQtaQYEFVWbMDkbF55RXf86s6dbK/\nUZsxw/MaJ/Dhh+Y5rgKXL2MnrNalGTOsPY+//YZtNfOI169vnt85axYFY67f2bhR6jfpceCAeRpF\ndDQETeQr6XHvHsTkgw+sNcgSEoiulC7NvW7SBEJz4IC740JU6u3dSx6fyGmuUwd75mqfbtwgLFe7\ntrSz6emMyccfy8937iwlcUQbr8uX+WyRIjgHUlMhqMePEx0JDeW1oUOltldICDzlu+/gM2JDnpYm\nU5zmzcMWPHiAHVJVbMvBgxDQMWMIPdarR+RN6Fflz68r0lIUyM5XX3Fyb7+NR+Sf/3Q/4OjRMpk9\nJQUSkprKoCxbRv5S7doMhv4COnZkAHLnptpi7VqqFTQNdihi361bSyY6apT0Wty/b0zeu3KFi9CH\noI4d47UBA9xj9TExkIOXXsIt2LIlC9mpU+4ucVXlxm3ezDlUrszA16vH+HjqBZgvH0zXdfLExFB1\n0Lu3+/d++IExdvW0iIfH1YN28aJkz67nXbaseaPnc+esdVlEpYNZYrymQVy9VbfVquXdMCQm+qYs\n/corvpOkzp3NKyvtYswY2TcqGEhMlM9IZuDDDwPzHAQZfxErm3jlFfO8m4xA377mBtZfXL7Muusv\n4uP9S3wvUcK8LZgZGjTwnDelaayz2bJ5jnAMH45zwAoVKuCEMEO1aubNnEXrNtd1PiUFL41r7mxq\nKkTC1bOUlMTrrj0JnU7SNb74wt12Xb6Mjenf39ybl5LCNefKBTHatMm/vqzx8Xh4ypTBa+bagiw1\nFdJUqZIki8nJkErhREhIwKEjHC3DhsnK1rlzZa73sGFS3/Gtt3DInD2LbVZVHAXTp0MKRWpTyZI8\nf0OHYqOPHIEraJrU8KxTB9sqQoCbN8OVYmOZN5qGM+TPalJF4UHr3x9W/eGHsLC8eXlfhATr14fN\njR/PbuHECakUXKAAB+zWDZJ2/Lh0j739NoOxdauUi//4YxhwUhIk4dIlcrJy5sTAR0Twumjb0qSJ\nrG4TTRf1DH/fPoiDqxBlSgrVDE89xa5w61b/cmiioznf4sX5bavu7eHhkBBRfqlHZCTxbVePiKoy\ntmakq2lT89yFLl3MkxlXrZIeR1e8/761N6ZxY+t+VWlpPPhC5sIMs2bZ69VVvTpM3w66dZMyHHYR\naAL69u24+oOJokWtWwgFG926BZbAH2T8RaxsQFUJp1jJogQb9eqxAQ4WVq70PWyvh16I0S4ePGCT\nZifZXWzyrXrWCaxd671naPny1jm1N25Yd4C4eRMDbaZN1bWr+Ro/c6ZMwNZj8mQpB6DHgAHmnshh\nwyAormN18yakyizPV9PwIJYoQU6Y3Xwrb1BVOEahQth0fU9IpxNCVLGiJFc3bmB7BIHesAFylZzM\npvXppwmjpqXhMDlyhGM+9RTHmDoV26Zp8JEjRxA+b9RIav9FR5MXLtKdatSQmlROJ/b+wAGcQ5Mm\nYetatJC5VWlptMNTVdb6PzUYFYWbMmQIxOnjj2WulV66vXx5vDJ6V1idOpzYE09wEm+/DRudOpUf\nT0zkvfh4iNHgwZz0k09CNBYulAnHPXvKmGivXnJnsHWrTFbTNDxrdeoYk9fNmlFu2wbxq1nT9woz\nK4i8qkKFqDR01RTRNMaqalXed/VcCdkI16q/u3e5BlcdJdGuxbWqTyT+u8auHQ5Ys1klx7Jl1gvH\nr796rupp3txzOFB0tfe2m/nuO/seoeXLIfm+QC9c6w+io1mwfSkp9oa6da072wcbP/xAwnwWgT/E\n6jHl/zPcv68o//qXomTPnjm/d/asorz4YvCOd+KEopQq5f/3Dx9WlLAw376zf7+ilCunKH/7m/fP\nnjqlKDlzKkr+/J4/9/v/Y++6w6Oo3u5N6C0JJBA6oQWQUBJA6R1BerGholJEaSoiiIjSFBVQFFAQ\nBFEUUJEqEOm9Se81QAIhjZCE9OzO/f443/u7U+7szm6WqA+c58mTZHZ2d+bOnXnPPe+5793CWKdO\n5q/HxaHt2rSRv/7774z17s1YgQLG137+mbGnn2asSBHt9rQ0xpYtY+z117XbFYWxmTMZGz/euP/H\nHzP26afa7RcuMLZgAWNff63dvmcPY3PmMLZihbat4uIY69iRsREjGHvjDe17bDbGxo5lrF8/xiZN\nYmz9esZq1ZKfs6vw8mKsRw/Gzp1jrGJFxsLCGNu3D695ezP23XeMVa/O2EsvoQ0qVWJs7lzG3mgq\nUgAAIABJREFUXnwR5965M/rarFmMFS3K2LhxjE2fjjZ//XXG5s9nrGxZxpo3Z2zdOsb69mVs0ybG\nsrIY69aNsY0bGWvfnrEdO9AejRujL4WFoR+GhODYihVjrGRJxm7dYiwoiLEbNxgrX56xO3cYCwhg\nLCEB92tyMr7b25uxnBz8nZOjOmHamJ6OD01Kwhvv32esYEHc+Hfu4MNv3MCXXb7MWM2ajJ0/z9hj\nj+FzTpxgLDSUsQMHcHIHDjDWoAFjxYvjBLt2ZWzzZsaaNmXM3x+d6pVXGMvIYGzpUlzou3cZ+/57\nxiZMwEUeNYqxL7/Ece3ahfcsWoSLdP06OvOSJfhsxnBBpkzBxfj0U3SMoCDPdAxvb8b69MHN6ueH\nC7F5s3afwoUZW7OGsatXGXvzTcY4F6/VrYsb5tln0VEIgYGMffIJY0OH4vgJFSsyNmQIzkeN8uXR\nab75Rrs9Xz7cKN9+azz2Hj0YO3MG10+Pzp1xTtHR8vPu0YOxDRvkrzGGh1a5cuicjtCuHa6hFTRr\nxtjBg9r2cIbq1RlLSWEsPt76e9Tw88ND+Pp1994vQ+3ajF286LnPc4Tq1Rm7di1vvusB4aEjVtev\nM1a1at58l92O76tRw3Ofee4cnmvu4uRJxAxXcPgwY088YW3fffsYa93a+X47dzLWoYP561u2ICgX\nKiR/fc0akCcZVq4EWdDjjz/wnKtSxfhdRYsy1ratdvvixYir+vZ6/338lC8vtmVmMjZwIGJpxYpi\ne04OYli/foy9+672czIzcQ4nTyJWPPss4qwM167hs196ibGGDRmrXBlx3t8fMb9bN5CeU6e0MZAx\nxPLPP0fc7tuXsVWrsN3bm7GFC0FcZs7EtueeA/GePBn/z5rF2OzZIDVDhuC63bzJ2KBBjP32GzhM\n//6M/forY2XKIEbv3s1Yly6Mbd2Kti5ShLFLl9CHjhzB8Z88yVi1aozFxOAzqldHDK9ShbHISMS3\n6GgjsWIMn5ee7oRYFSmC4OTriw/w90fD3LkDNhgZiUa8dg1ffuECY3XqIGD7+mL/I0dw0Hv3guHf\nugWW3KgRY3/+yVjPniBv+/Yx1qsXyE+DBjixJUsQyCtWREP5+aHxMzIYGzwYpKp0acaysxl75hnG\n3nuPse7dxXm88gpj4eGMHT0K0qXvGBkZIHkjRyLQ16yJC12qFB44zZsz9s47IBLUcHoUL87YV1/h\n+AYNYuyHH4wdZ+NGnP+cOdrXXn0V5zp1qnb74MEgktTJCOPG4Xv0pGfMGDB0zYVkOJ41a0CK1ShU\nCDfNb78Zz6dQIdwI69bJz7dTJ8b270f/MEPHjhgJOEJoKG6Ce/cc78cYOrKPD2NXrjjfl+DlhZvk\nxAnr79EjJAQk01MIDsZNnBeoVo2xiIi8+a4HhIeOWNHzNC8QFYVnp145yQ0uXcqdAnbmjOuK1/Hj\nUBmswAoJS0rCfePoM3fuBLEye//Jk0YixBjiYnQ0Yy1aGF9bsQICgB6LF2OQrY5ddjtiyZgx2n2P\nH2fs778ZGzZMu/2LLxBnKDYSJk/Gc3XaNO32+/chThQqhNjl7288LpsNZLBVK8ZatsQguW1bHO/e\nveAIFy9CJBkyBCSlb18IG19+qRUTGAPZ2bKFsbfewnsYg5CzfDn2P3wY22bPBi+IiMAzrksXELDi\nxRl74QW8Vq4cY02a4Ni7dsWxpacjdm3dirh+7BjUq2bNGDt0CPHoxAkMDC5cALGrWhXcJigIsapC\nBcZu3wZJi4sDT7h3j7ESJUSMLVIEvKJAAbSRpsEKFMCLRKxKlMAHlCoFglGoEF67dQtfdvMmDuLK\nFZATGrmkpuJhUacODr5ZMzR6q1boKFu3QiHZtAkXpXhxdLCXXgKBW7gQnYRzxmbMgBzq5QVJsH59\nEADGoGhVqICLwhgIRt++6OTbt4MEqnHlCkhHYCCUrIoVGfvgAxC9mBi8vnkzXvP3RycOCmLstdfM\nA22rVrjhJk/GxVfD15extWuhROkD/ZdfojOoA663N8jWlClalcbfHzefXoWqUwftvnGjdntAAEZo\nMpLUu7c5eeraFYRUBh8ftP3Bg/LXGcONtn+/+euMQX4NC8ODwAqo47uCevVyR4xq1YIa6ynkpYpU\nsSIeAq6ofP82uJo7zM3Pv8FjNWuW3C/5ILBtm5ia7gnY7TCeu7tGpc3mXk0t8vRaQe3a8Pw6grpc\nkBmojJAMv/9uXvrhq6/kK2PQzGdZfSpfX6Pnbt06TPjSe4R79jSuMRkZCV+Z3gKzezd8SfpyEFlZ\nsIkMHmxu59i4ETaTFi1wvlaLuSoK/Ej9+sEH/cUXRqvFpUuYia+eBU+ljKh9Jk8WswJPnID3OysL\n9pkKFXA8ixeLWZnt2sFzvH+/mJndqBHsTLNnw2p08SJ8ZpzDUx4Zifb84w/Mov/oI9iVnn0W9ppG\njYRth3POCxSAjzsoCBMBmjVTVcdnTBizpk1D8bDFi+Gr2bIFHe7SJZjGsrPxYTYbZiBcvChM7Z9+\nCo/U/v2iAirVQBo2DA167hwOQlEwnXHRIvhafHzQkXbswLRQRcF3162Li3DvHrxJZAzbsgU3F3mc\nFAWdt3t34wWPiYEJPCAAF8espoYMcXFok3Ll8NlRUfL9bt5Ee8iKWi5fDr+a3rj4xRdGE6KiYA0k\nfT0qmjmi/4wffpAbR3/5Re5PyszETas2DRLoRjebnTNxouMigFQvy5k/adw48wJ6ekyZ4nwxVD2+\n+w7+Pncxf761hVqt4tYtPFDyCmXK5G7quwfBHnmsnOP2bW0K50GCbByeQmws1HkfH/feHxmJgXuJ\nEtbfk5yMAb+V9Gl6OgSAOnUc70cZFjPcvg21xUyZ27XLPI3411/CpqLG5s14T7Fi2u1r10J40Hvu\nliyBzUOtYkVEwG4zZIh2388/RwZEfa1tNggW8+ZBXFDj/fdxHN99BzuJGtnZyOC88QayRfv2IfNh\nxd/GGI43LAyZmB07GFu9GqnIlBSxT3AwXn/1VfQJxrBPkybIDDGGY9i0CX24YUOIChs2YCAdGAjx\npndvxrZtQ0qzSxf83aQJUnpJSbAgHT6MAfvJk/iM2FiIQTSgrlYN6fJKlSAilSsH4SUgADYlPz98\nFucQhVJTYf/JzESbGBSr/PnxYuHC2Ll4cXyAnx9SggEBkML8/aGu3LqFEfL16ziYy5dxcOfO4WRv\n3MDFKlMGJ9OsGcx0bdvioLZtY+ypp6CStGqFjvTLL0jleXnBjDdqlDC1demCjm23o5G/+UbIlYsW\nIfW3cqX2gh85goatWBGqwaRJOA+rKF2asYkTcY6PPw6z259/GverXBk30JQpUOnU6N8f7TFrlnb7\nqFFQrA4cENu8vNDJ9enD4GDIuvrvfvpptGlSknZ7jx7YrpdeCxXCzbxtm/EcAgKQCjXzSbVu7ViR\nKlsWD1hn6gx1aiuoXx/9yRXUqZM7T1ONGp5VmMqVw/XJyPDcZzpChQrmXrn/AB46YhUTgz6SF4iK\nQsDwFG7cyJ0/jLIdruDiRcQZbws95fx5PDtlhnI1jh93bKCndKKZ32jfPij2emRn47V27YyvhYcj\n/umxZg1IhRr37iEz0revdvvChYy9/LI2tRsbi1TaO+9o912wAP1M/9nr1oHU/PijkVTdvQsrz7Vr\neGY78qBZQd26IFcVKiCeqjM2LVsizfncc2g3xpCunD0bx1GiBDJOFBsHDQLZZAyWoN9/B0mvXx+x\nr107tFmBAri2hw/j9/HjIqvh5YX+d+mSyCyQp6p8eTxHKQXo789YYiJiqLc3uFKxYoixhQohxZgv\nH/jJ/2C3g5BkZWEnMrEnJ4PwJCbig2NjwQ6TkrBfsWI4iCpVjJ6rs2dxAtnZ2NagAVJJzZohr04z\nNTZvRnovJwds/ZlnYD7evp2x55/H++fOFR1l+XIE8B498P+pU0jp/f67lv0vXYr88pw5jH32mfuj\nKsZwrh9+iA44YgRSf3pDXrVq6OjPP4/2UmPmTMzYiIoS2woUgH9KP8OjWzeMsk6f1m5/4QUQTzWK\nF0fH16cDS5QACdy923guNCtChhYtxCwNPZo0QafUMHIdwsKwjyO4kqpzx/hds6Zrviw9aBaIp+Dt\njX5+65bnPtMRypaF1+E/ioeSWOltCw8Kt255nljpjdeu4OpV1430Fy9a93SdPWvNWE+Trsxw5AiI\ngAz37+M8ZP6so0cRE/V+JUWBt+jJJ7XbU1OhvOgVrtWr4RVSq1g2G2Lc0KHafefNQwxSq1KpqbCZ\nzJ6tJYexsXj/ypXGY0xORqxo1QpxuVQp+fm7ioIFYWsZMwbkhxQqxrCtZElYZRjDs7xfPyFKjBqF\nc05NxfaDB/Gse/pptJGigKxu2oTreesWuAR5qig+kUoaGSliDJnVK1eWe6t8fMCLcnLwd3KyIFYF\nC5oQK5sNG4lYpaVhVkJKCj4kMREnHBcHFSc6Guw3LQ0/pUtDlqxeHeyvVi10apq+WK0aPo+I1e7d\nQrki5r57N95fuTLIU48e6Eh//IEGDg3FQU+eDDLi5YX/X34ZF0I9JfSHH9CRdu+GPOgptGwJf9C6\ndSBzevTqhRGBfvpsUBBk2I8+0m4fOBA334ULYlv+/JB2Fy3S7tu3Lxi4Xp3q00fum+rcWe6Z6tDB\nMbEyU6X8/NDZ1MeqR2ioc2IVHIwObUXBqV4dN0dWlvN9CYGB2N+KQV6GypXRvx0RSFdRqZKWVD9I\nlCv3iFj9lxAfj4d3XuDOHc+qY7klauTTdQXXr+O5YAVXruB54wj37yO+OUqRnjkDYUCGU6cwK75g\nQeNrhw/DNK3HpUsYFOtJ6f79eIbqRYCNGxFb1Ni7F5kYddxTFMZ++skYf5YtQ+yqV0+7fdo0DNib\nNdNut9lAzlq2RFrRTKkjcI6+EB6OrMrx4xgwOMJrrzH29tsgRfR89/ZG6u+LL0ScGzsWsw8zMvBs\nbt4cRK9YMWSxNmwAOffxgRjRti3ahsopHD0KQnXqFEhURATIEQ3Aq1XDAKFyZZwDlVUoUwb3ZsmS\nIFGcg4ylpODapaUJ03qhQvhMqWKVLx/UoUKFsHPRomCGJUqIlGBiokgJBgaKG9VuB/utUEGbGgwO\nhhwbEoLPunULataRI7iYly7h4IKCwOCJqa9Zg6mejKGjECv/8098L02f/e03HKd6KuuxY1CCNm1y\nnFvPyUEj798PtnvwoHEmnQxlysCA/+uvkE/1+PRTnJ+eoIwejQ4RFye2FS4MYvjTT9p9X3hBMHCC\nry/abPt27b5PPgnCpVfQ2rSRq0+1aqGjxMYaX2vUyHGarn59PGTMULeuc4WpQAF0YislDQoUwMND\nPapxBi8vIee6g4IFMaJRX6fcgvL0eYHSpZG6/4/ioSNWZLPIC1DGwVOIjs6dP8yd1KQrPrFr15wr\nYpcuIcg6Si06Kilx6pQ56Tp2DMFdj4MH5YRr925j2jAnBwNhvbolSxnu3Ys4oT4ezpHxGTVKu29E\nBJSqCROMx/HBB/jer75yTKpOnYIvyt8fsWPmTFh0Bg1CezVsiM8wK38zdiye76NHi23BwcjakLeq\nRg1kS1auxP8vvADhhTHthKt27dB+jRohBqWm4u+jR0EoT58Gt6lUSSil164JhapiRfATUvz9/XFv\nenuDSFH2Tk2syFtVsCC4k0NipZ4dmJYGZkjlF0i5io/HA5z8AXfu4P/8+XGQlBqsUUNIt+fO4Xf+\n/DjZRo3gL6JpqLt2oXGSk9EhO3TAiR04gPIMjEHmHDECf9tsUK+mThUXPzERDHj+fHO5+MQJ1Jcq\nXx5S57vvgiCNGoVGrVkTqUN9Ok+NgAAw5bFjjTPcChfGcb3/vpbslCqFY1u4ULv/gAFI8alJVHAw\n2lv/2V26wMulRsWK2Pf8ee32sDA8NFJTtdu9vHCzy7xU1arhvM3Unrp1HXueatWylrpzZaacO6m5\n3CpE5ctDBvYUAgPlRPZBwN8fnoT/KB4qYsU57jdPpVmcIS7Os+pYbhWwqChtjSUruHnTenkKGuQ7\ngjOfV1oa7l0zZY0sLzKYlYU4fBhGaj1o9rz+M6pUMRLijRuFHYbw22/w9KpBA3x9KYjPP2ds+HDE\nbTVOnsRAf+VKc29aUhLEjK5dRWyPjcWgf/NmfEZ8PFKPx49jn99/N36OlxeyS1u2aO0sH30EMkjl\nfYYPh2rFGOw9e/aIUgo7diB2tm4NIaFwYQg5J06g7U+cwPW9fRu8Rm1SJ2IVGSlSf/SsLlgQHCg5\nGZyHSixQCpBM61RmwSGxonpWZGJXEysfHzRoyZJilBUbixuVZrYkJuL9Pj5G5ercOZxwWhpO5LHH\nQBwefxyNdPYs/t6zB0bBokVxkTp2xDFcvw6GTEXY1q3DMXTsKM7jzTeR+pMVasvORuqtd288yI4c\nQcA+eBCfdfQoznPlSmGQXLBA3rEYw/HPnQt2rmlMBrIUG4tzUWPECKT41IQrJARqoL6UQa9eRu9U\np05y43nr1rgp1ShUCAqTjECZeaG8vR2Tp8ceMxI4NWrUQJvq20MPV+ot0YjCFdCMDndBxkVP4RGx\nsoyHilhlZiK4FC6cN99HXllPISEhd0SNMh+uICbGukp2+7Zz4kYeYTMQkdMbuwnXrsmJmc2GZ5ws\nFUkTvNRQFMQ3PRE7csRIwu7cQaAPCdFupwlhalD2R608paWBhOlThoxhstaECeYqanw8BInixRHb\nx4+Xk2tvbwglP/2E4xo9GoqWPrPi64uySlOmiNeqVQMXWL0a/3fqBH5w964o/XP4MPpOqVI4DvWk\nKKpLRROZ8ufHNSRPYGQk+gVZmmJiQDDj40Gm8uUDJ6EZgFSzijxVRYrg3qUUINWvypdPV+pGUbCR\n6lmpU4J65YoIlp8fTjQgQPgEyIhJqcHy5dExg4KEB4vymvnzizThuXPogIULizQhY8LdzxhSe926\nicq3ixfDt0Qd5uJFMF994TPGcLxduuDBcv48FCXZCCRfPihpS5fiu+fNMypPajz7LNrl11+12/Pn\nR6ddvFi7vUEDHL++NlPnzkbCRAxcjTp10Ob6VI/ZTLt69eQkqU4d86KVNWpAKpWB8tFmKFQID25n\nHh/q1FbgThqNDIfugqbWegpUVC4v4Otr9OH9h/BQEStKL+QFcnLgZSle3HOfSQWk3YU7/rKYGGtk\nzG7HM8DZxABn6UhnqUeKa7L3lStnLMbKuTy1eP06+oJevfz7b2M6cf9+pBLV6cuoKMQ3dbFVziEa\n6H3Gq1YhU6Rf5ufgQVg99IZ4wp07sJh07YqskL5UhBlCQ/HZy5aJupNq9O4N4qK2uahn/RUqhO/d\nuhX/t24tRIvHH0cbBQeDSKemCgGgRg20q90uBvOkUNHguWxZcBVfX5ClrCxcg8REUV1dRqwyMoRp\nncoseHtLiBWtd0OzAwsWNBKr+/eF54pSg6VKidRgbCwONC4OylaBAqKyMFVNVRsKaTkcdZ6aVCzG\n0HjkpwoPBzliDA146JB2+umMGaimrn9wxMaiE4WEgAFb7Qx16iA9uXUr0oQycuXlhQKgkyYZK6AP\nGICK8urq7V5eUKLWrtXu27GjkVg1a4a2UH+ut7dY10gNKsmvh5n6FBxsXgTTUZquShXnaTkraThX\nFKGyZf8ZYuVJnxJJyXkB8gH8R/FQESt6nuYFkpMxKHZmRHYFZA1xB3a7SLNYhc2GNrPynsREtK2z\nUgu0VJsZqKyQDIpiXjmf4p0ed+/iGuhTcBcviqXh1DhzBs93NY4fh+9IjYMHYTZXk63ISMRuvQds\n9Wp4lfSYNw/WGNmyPZyjUHW/fliv0NV+VKkShILNm42xztsbhIvSfYzB/vP33+K52b69IFNNmwqb\nTMOG4A/584vSCTVrQhwoWhTPw5gYY8qP4or6WV+qFK4PPa99fISnKjUVn0dmdb23ioiVJlujKGgo\nqmelTgmqlavUVEGwSLlSEyx1ijAwUDtqiIoSclxQEA44IwOvqTvV6dNorORkNEBICC6quh7I+vXI\nLxctiv/T0jB7kPxXaowfD+PfnDnmcq4ZAgLAovfvN6pPhA4dsN+WLdrtpUujo+tn5j31lLFjtWiB\nVKR6JhrNwtMToIYNjQZykj71CA6Wlx6oXt08FUel/GXw90ef0NfHUsMKaQoMtE6WSpd2nSTlNh1W\nsqRjj52rIEk5L0APg/8oHipiRWVt8gJpaZ5VqxgTccDd9xYvbq0eFYEUPivvsepdo6yLGRypavfu\n4RxkqVwzwmY2k1JWE4xzuSImW0ZI5vU6ehQETL80zp49xuV5MjJgPaFJY3qsX4+2ojX73IGPD4SI\n8eONq0P06YNYSTMECxUSiyQzBtXr1Cn8XaeOiHc1awohgGIXrUDBGFRD4iNxcSIbQVmEggXFcn4+\nPqJfkphE3CcjA9eZRCcSoSgFaLejnTUCDOeCbam9Vjk5+BDyXGVmigUHycBFUxApBUGzB+nAfX1x\nAHRyZHinkYCXlyBbaWn4DJrWX7s2juvmTZAo6uDEzgnh4fBl6WXpc+eQQsxNZ/D1RWpw4kSjEZzQ\nv7/cnNe+vXHR4UaNQB7VJKp4cdyE+hRcrVrGlJ1MUSpZEh1VH7zNvEalS+MhRYXY1CBpVAYvLzEN\n1QxW0miupMb8/MzXbDRDblUb9TpQngBJyHkBGlX9R/FQEStKK+QFaFDsKXAugpA7IFuJK6CBvBVY\nJVbO0pmUjZHBUVrSzNhPS8LpQZO+1EhMRPzTnwcV41aDyhupQZPE9PuVKWNMkW7ZgmyI7Hw4h6H8\n449dFyf0IP8z+acIgYE4fnUpIKo/xRhUt9OnEeeqV8fgPSND1J9iDO2nnuHHmJhcV6YM4hpZlyjd\nx5gY+NKglMQjem6TSZ0KgVIKkDgSEStpKpDqQpGslT+/mCVI9a3Upna9gkWOeV9fBM2SJRFgqdPS\njBRazFndwahTRUSAtXt7Q8WicgknT2rlzEOHtIY+2dRTxtAZ3nsv9z6GBg2gls2bJ3+9Xz8wej1R\nkZnKfX3l9aBkhTOtEisqMaBXmtQdTA1vb+GJ08NZ6o1MfmagaaqOQJKrFbij9qhXHncHNHLxFGgQ\nkhcoWjTvSNwDwENFrLKy8s64Ts9uT4EGhrL6TVaQni4yDlbhiupGg35ncKa6kWggQ1KSOXkzI3YJ\nCXKiJlPGzKryR0cb05ORkUbFS2aev3RJvuj1338L240eV6/iuPULOrsDb29kln77zfha69bamfCP\nPSYyLn5+4CB374KbkEhTvryIV4GBaEd/f3AQzsFDSPChdPj9+7gX7HYQo2LF0B9JmSpSRHAe+q0W\nm/LnF1yJbFTEoQzw8hI7qQkWfZja1E4PhMxMMUIuWhQHR/lItZKlKFpVi9giSbDx8dqGYgyEgHLX\nN26IeiQ2G/5XS6FHjxqnqaalgYWbGfFcxRtvGFk2oUIFnItecQoJQcfQz5ILDjam4oKCjN4kmcnb\nTFGiTqWGr6+oFquHmWpEHdEMztQgK6SE+ogVUKd3BblVbWjWh6dAN2pegO7P/ygeKmJFz9W8QHa2\n+yTI7PNkXhyrcIfoufIeCpDO4IzgUUpIBlr6TQYz/5yZUpecjOCvBgkUaph506h4txqydKSZJ0ym\nghF27kT2xVP+vE6dYLHRx0X9ShsVK2pjonrQTwN88kMpihhQ588vVpApXlyoT+SToniiTvGR7Ynu\nE1KksrOFPUrvpSJC5e0tUoCGVCD9Vu+sV7CIramJFh2EWtGiTk2dlg4+Xz7RGdUdTL10DrF8tQSr\nXvaBDGf0QMrOBtHST3ndswfSpqd8BU2bQmUyU0JkhvDChXHh9URIVh1bZriWqT9mRmiZSuPlZe65\nMUt3OSM9ztJa1FkdwRXiQ53eFVBfdBfUpz0FMjnmBWgg9B/FQ0Ws6LmaF/A0iaNsRm7e7yrRozSM\nFVglYc4ImCPiRSuUmL0miz2uEC5SWtSgWWr6lJys0KwsVWmWinRUTHX/fnM1yx1UrIjYpi/dQzWm\nCPp6gpTOY0zExgIFRPZMHQPVVdIps6ZWpRjTVk4nMzr1MerfeqVK7akijkSilMFjxZjYqP7tiGAR\nsVL/poOiTk0nou6cNAJQs32S6O7dEx2JDGaMaQvbRUdrO8aNG/hfP3ravdto0MsNyEynX2SZQDMR\n9JDNkpOpTrIUmzoPTDBTlMzSX9TB9DAjUFaIkyMFydnrtI8rxMpV9Sm3qo2niRDdI3mBR8TqvwVP\nztLLy++iQXhevt+V91jd19l+jl6nMkWuvObKdlrD19k22q4nujabkYjm5MiVxqwsc4JJNZ08iVKl\njHGmaFHtc7tQIa0XuWBB8X+BAkLxotQc/WZMpOnMfjMmlCZnv+m+sfrbIVz5MCsHR51Tf5KM4XV1\n4zCm7Sjqv8lQT8jKko8a0tPdnwpsBj8/c9JQpIg8eFJ+Vg2aVaAGFRnTb9PLperOY3W7fgYGY5Ji\nZk62u/K6Wd0vglo6dQZX9s3Nezz5/gf9ef+W73oAeOiI1SM8wiM8wiM8wiM8woPCQ0es8pIEe/K7\nKKORl+935T1W93W2n6PXDXWLLLzmynbKEjnbRtv1g3WagKYGZZb0oLJKMhQt6vlyMYmJRu9aerpW\nTaPimwTyOzEmPE+MifQc/WZMm6qT/WZMpO+c/db7p5z9dghXPszKwanlN/VJMiZqaKk7jbqjqP/W\np1XIpKZH0aKeL8qYlGSeU6dKrHqQCU4NmT+Bcrj6bXp5WN15rG6XSdnqDmZluyuvO5NETWdQ5HLf\n3LzHk+9/0J/3b/muB4CHiliRZyMv4OkUsUx1d/X9rqbHyVxsBVa9mc5sCWqzsx6OJtaYzQQ287bK\nvLCyGdG+vni/noTJihrLLCfqGk9qqMsW6NGihXF5ttzg1i1YffQFUS9d0s5i1Nt+1EsgUf2xnBxc\nP3VVAsbEbE+yHJEfTu2pU88ALFxYTMgg/5/aX0UZJf2MQMrQ6NOG/4PeX6U2spNZix6SAQgHAAAg\nAElEQVQE6hpX6t90UGYzBhkTHh61x4dmmqn9Q/7+wl+kNnbrDW1BQfhfz8LbtNHWxMgtsrIw+1C2\neCZjmP0nM//JlkyQmQpl9VJkU3bVPjQ1zJbHMJtObDajxdEsGMbE9XT3ddrHav0eqp3mCmgyhbvw\n9Awqffr6QSIvZ5o9ADxUxCov/XCe9g3mdoKHO5NSXHmPVR+nI+LEmGPPqaOJPq4QKMbkS1HJJirl\nyydKGqkhqy9YrpxxVjlVINcjONh8mbN27RBLPaV4bt2Kwtp6IeDiRe1sf30xVfUkNoqXNHPSy0vE\nQJtNWISoQgFxDrXfm+IQecLVxnWy8JCvi2w5ZK0xK7WgIVbqjeqdZYRKT6xkJRioU1OnpYO320Vn\nVHcwMl6rzdpqM7d6mmXZsmDm9EAqWBDkSl9hvHVrlP73VP2gQ4dQV8uspgktNq1GZiYuvL4Ym6x4\nnGzleVlVYNkUXMbkxIpz8+m9ZrNTHE0hZswa8XJGhKhPWIE707JzWx8ot1PJZZ/3iFhZwkNFrHI7\ne9UVuENkHIHUdXfJmjNCI4Mr9eBomr0zmE3uIfj4mM8Ep2LYMsgmHjEmClTqIVthomxZ+bqr5csb\n6xNWrox18dSoVs04U71WLRTa1KNJE3NVqkYNHPeff8pfdwWKwtg338grvO/Zo12q5/x5Mds/KQnP\ndX9/cBBaPo/W+2MM20qXFsvSeHkJIYKKy6ak4JpnZoLfFChgVLPUxUDpt1650hcFNfW2milU+irs\n+tIK+pl/FJhJKUlOxufS3+rK7CRdqtcZJIZdsaJg1kFBQqbMnx//q+tdNG5sLMRZrBiWslm40IWr\n7gALFmjXJlTj9m2ci16xOnsWHUOfOrt82biO1I0bRmXr1i1jHRKzar/UqdRITsY1kQVas3W+zBQx\n9Wc6K6jnrDCfM/KmhqMpzWZwhbjJQOVBPAW6UfMCuVXr/mE8VMSKlszIC1A6xFPw8sJ97u7A1Z2l\nl1xZhcGM2OjhbKUIRwWRHa1SISupw5h5Kk5W4LlUKcRj/XnI1KWQEGOB6caNjevKhoSAwOmLQD/5\nJIQI2fl4eTE2dSpWHzHzlFnFqlX4rY+lsbE4fvVM/oMHRYbo1CkUNvX2RmmI8uXxjFeXiaBC4+r1\nHUnEoDQiFWhVZ4OorAWJEGlpQuUqVkyIRfRsVStapGSpFaz/gdiWXqFSp/jUihQ9EOhmJdmTlCeS\nMNVrtlE6r1w5XFR1B6NOVa0aWLeiQBKk6uS00CKhaVNt2YM+fVB9XY+pUxn7/PPcVeGmi7pzJxZ5\nluGPP7BopF6V2LPHWLiU1kCkqvKEM2eMSxJcumQs2nbtmnHtKM7lSyKYLSCqKOYrv6vlVhkcLfHA\nmPO1txhDp3a0jIQaslouzmCWFrUKK+TQFTyIddrMkJfrzz0APFTEKi+r5D+I6v/O1B5n701Ndc3A\nTvHFynusEitnK0U4Wqu0ZEmcg0wJlKXhGDMWvSQEBRkVJy8vxET9Shu1ammFBcYQO/RryDZuzNiR\nI1olJV8+ZHP0NpkiRRjr1k1eEZ0xxDd//9wtD5eSwtgHHzD22WdGsWHNGsa6dBGDQrLePPEE/j9x\nQqy+cuGCiJ9Xroh4eOOGIFbkzbpzB4QqNhYchJYwImEhOxscp2hR8dynule0wow6ZUjESua5Mnis\nKAVIxEpfbZ0IFdUUogeCXpkiyY06dcmS2G6ziZMjeZOWW+EcnerGDZyMn58gHhcv4riqVEHAoA7e\nrBkWZSZ06YLFGvUjj7p1GevaFZ3B3fxwcjJjr76KdZLMguOKFYw984xx+44djLVtq9127BiYt9qo\nnpqKm1CveFklVvfuoaPqCUhUlJxYxcfjISVLTzla/4pzeYVfNZytvcWYuVomgyvrgxGcqWrOYJYm\ndRfO0qeeRG7Vun8YDxWx8vSalI5AaRBPzgx0Zc1PPcy8Qo6QPz/azMp7SpVC2zrzsJkRIILZsmCM\n4Zlr5lmqVk2+0L2/P66BXgWrXdtYMJMxLHV28qR2W1iYdukXxkRMVJPOypURs9SiBGNQi5YvN37X\nyJGMzZol9855eTH2yy9YfeSDD1zvR1FRWN/3qacY69hR+5qiMPb114wNGSK2rV+PtCDFiR07RJHS\nQ4dEypCWu7PZQLJq1RJ+5/R0xIJy5UTF+du3QbpIQFAXVqUBP9ltSMGiDAs9W9Vm94IFjd6r/4EU\nK705nQxdxNrUClVKipBm1UvUJCQIEpUvn1iTrlIlnByRKB8ffG5MjLZT1a+PxqI19c6exUVt2RKq\nEWNgzxs2aA3x/fohd6vHZ59haZu33nJdxkxIgMmuRQvGBg+W77N9O/br3Fm7PT4eHb1LF+32zZuN\nHWv/fowu1GQrKQmdQO/bOnnSuIr5uXNGBYwxpBz1FekZAznTpyIJxPpluHsXfcIRSYiOlq/qrgYR\nbCtwtLq8GdRrVLqDe/esLeBqFe6obu7CncVt/0V4qIhVbte0dAUFCmC07UnVysqC647gSA0yg6P0\nmxrq2OMIsgLOalC8MoNMUaL33bljTPV6eWHAf+6cdnvVqugLepWtSRMoN2q0aMHYgQNaElWpEp5Z\nav+UlxdjvXoxtnat9v1PP42Yo09JNmuG2GJmnylXDoW3N29mbNgw62rriRP47JdfBoHSY+1acIoO\nHcS2JUsYGzQIf2dl4Xs7dcL/e/YIknXkCNro8mXwheLFwSUeewz2IVp7OCIC14oIFsUpEhKSkxHb\nChUSaULKfNBAmwbIpGBRSpCUK2kqUFGEvEVyFxEqksVohKUnVJSHpvX+ypRBcMrJEYyeGHzNmsJQ\n99hjaIQGDQSrbtIEjcUYGo8MdV26MBYejr8rVEA6UL1233vvYZFk/YMjMBCd6Nw5pAytdoYLF6A2\nderE2Ny58insnIO9T5liLJWwbBkIoFpt4RydqHdv7b7bthnJ1sGDaAu1P0pRkAfXr1h+8iTSpXqc\nO4ebWA+Z0Z4gU8QIN2/igeEIslmQelghXwRnqUkZZBMBXIFseYjcwGzCwYNAbtW6fxgPFbEqXBjP\nhLwysLuy+LkVBAS4TozUUC9RYhVqH64zVKhgrjYRKlc2epvUqFIF8ctsUF69unHiFGOIBzLzOGN4\nJuvTdt7eiIPHj2u3P/64cbWPcuXwPNF7qjp2BOlRo08fpPfUClOxYjCPf/ed8dg+/pix6dPN06MB\nAVCP0tIQQz79VE5MFQX7DRiA45o9m7F33zXG0eRkxsaNY2zSJPFaRAQ4APmwtm5FqtPfHwPH06eR\nIoyNBf8IDgZ5oxhIQsOFCxBtbDYh6ty8iWtO/uU7d9CnyOKSkYFrTbW7/PzkxIpEJ/3CzAZipTar\nk0ldT6zIcEgpP8pP08iDZu/lywdCEx2NjnnjhmD2NWui4Ww2EKuzZ9HRLl/GA+bxx0EqGAOxIpWq\na1fGNm4UMuXgwYx9+63oMLVqwYD34YfGi+znhw7n748GnzTJmM9mDG1w9Chjr7yC7x45Eh3HrC7Q\nb7+hXZ5/XrvdZkOn1atcp06BsIaGarf/9ZeRWO3ZA5VOjQsXcA76oK/uVGqcOSMnVhcumC+4efWq\n+ZpRERGOiVVWFh7cshXZ1ZCZ8s1AHd8VeIJY5Ubx0sOV1GduIVvM9T+Eh4pYeXlZ9wJ5ArL1SHMD\nM4O2VVSq5Jz46EFExwqqVpWn49SoWVNOjAjFiiGWyeIFY3JvEyEszEiUGAMpkC2N1qqVcRJWWBjI\ngJ6AduuGrI0azz4LW4oaLVrg965d2u3vvYcMjz4l2bAhlKXnnzdPo/r5QTjYvBlt17Ah+lb79hBA\nGjQAJ3jnHWRiLl6UW2U4Z2zgQMTtbt3E9qlTGRs1Skxa+vZbkSb880/E5qJFQbjatwd/oXiZmQlO\nERqKtg8NxTFWqAA+Q7WyIiJAivUpwthYXO/sbHAfSleXLCl85GSDIlM7cSbyWv0Pem+V2qSuJ1T3\n7mlTfnFxOKDoaDwkcnKwL3VqWpy4bl2ccLFiOJHz54U6VbQoOuiRI2i0w4eR5nvqKag5aWn4vAYN\nxKyCXr3wQNq2TZzHnDmMrVvH2O+/Gy9iwYKM/fADcrdJSVC8SPnq2RMqkI8PYy+8AMJ3+TJjb7wh\n71iM4fhHjYJkqTfiLVsGMqBfuPKbbxh77TUtUTtzBsfTrJl233XrtJ2NMXQkPQFjTG6Sz8oCs9er\nW4yhw4WFGbcrirnKxZiQWM1w9SqIl9n6WQSSZa0gMtI8NWkGM2+ZVbiiqFkB3ax5gdymQf9hPFTE\nijF5YccHBbJoeArly1tXj2RwloaTwVlqTg1HRS8J5MlxZIiXpe4I6myLHo0aGdN4jOFZf+CAcXub\nNkJIIBQoAPKwZYt2u2zCVqtWGFipj8fLC3Fq7lztvtWqMda/P9QpPT75BPHy7bcde6nq10f8S0jA\n4H7cOHzX0qWIFSdPwoJj5smdOROEZvZsse3yZQgob7+N/69ehZ+MxIvlyxGjGWNs0yZhtdm5E+13\n7BhUquLF8Xfjxoix9esjJkZFQTi4elUQK/VMwpgYDBhoEpaiaBd4Js8VzRbUe62kxIpmAcqUKkr9\n3bsnUn9kRC9XDv/bbGKGH3Xq2rXBWOvWxW+bTUwDbd4caTrGkHbbuRMn0KgRvEsBAdhn/XrsM3Kk\n8FHlzw/l6aOPxMUvVQrEa/hwMaNQj4YNkeeNjoYH6ssvwZq/+QaNevky2LwjhSEhgbEePdAx1HU3\nGENjT5pkVLoSE3FsQ4dq9//5Z8ZefFFLzi5dQnvrPzs83OjliorCvnrCc/w4Hhp6wz3nuNllhCsi\nAm1odu6OSBcdt7rAmxkcpRv1uHHDefpRDyvpSEfQV/zNLR4RK8t46IiVOz4jd5FbhUkPsxluVlGl\nirkSZIaqVeWeJhnUthMzlCiBZ54jslavnjl5atAAJEJWz+uJJ+QEqlYtBGd9CrJFCxAU/UzLbt0w\n0FajVSuQAXXZBW9vqE36FN+AAYh1emXtww9BVPTHmD8/lK99+xALnRnVvbzwvOzSBccaGur8ebdo\nEWNffQURhGYCKgoI1ZgxQnWfORNqVZEiIEEHDsBKk5aGeNizJ3hGSgrI065daBubDXGucWPEwgYN\nwD+qVQNZvXJFZM+CgvDZFSvi2U/lGagAqa8vzlFdzV3ttaKUoENiRSnA9HQx60892y8hQeTG6Ual\n1N/t20alitJ9xYvjwC9cEOm+WrVwcDduQA7ctAnHQ3lhxtBRyEzXvTu+l3xXzz2H4/z5Z3EuYWGM\nzZiBC2xGruicq1YFcevTB8qVlZlgcXFQjZ57DilDPd5/HzdU8+ba7bNno0OoU1SZmYz99BPOUY0V\nK5BfVpOt5GS0mdrgxxhUrHbtjOnK3buNqUTGcCP6+so7/rFj8pQi4fRpo3FejXPnnBOrnBx04qpV\nHe9H+966BYXTKqj0hCvvUSMrCyQ4N6lEPdxJZ7qL+HjP+sPyGA8dsVIXP37QyC0R0oM8K+6ClANX\nQAN1KwgJMVea1AgNBaExw+OPC9+vHiVK4DxkKb/GjUEC9b42b2/EO70KVbw4SAHFQULfvnjOqyc6\n5M+P2ep6o/nIkYytXKntU8WLQ4DQK1CBgSA4/fsbj9HXF0LH3r2IW57y5mVnw/j+5Zf4fPVz+osv\nQGTeeQf/X7mCUkZjx+L/uXNxzsWLY3uzZrh/Vq0S8XLzZtiGTpxAfy9dWtTDokxNYiLIUeXKoto7\n1cMiBYtSg2QrSUkRNSFTUkRKsFgxYWI3ECsyXlG9KloDiVKApFRR2XwyfRUrhp/4eOGhqlULwZsK\nltWtC6KVno6GOHgQkt2uXSADXbqgMdq0wftv3oTUt2EDOlK/fmjgEydw0JMng7xQQdOffsKFUDP3\ngQPRkdq0Mc6IyA327cPN0rs35FI91q2DPKsfMdy4wdj8+YxNm6bd/sMP+Dz1jD6bjbHvv0fKUI3V\nq0Gg9P6ZNWuQFtXjr7+MMxIZgxKoLsKmxv79Iievx7176GyOUoEnTshTjGpcvowObaUkwLVruDlc\nKXgZG4v93fU0RUWhf+snI+QGuVXQXIGsqv9/CA8lsfKkiuQI7qTeHEFWe8kVOPM3yVC7Np71VmpZ\nkaXDWcmFsDBjIU01nngC9hQz5aZlS235H0LBgtrZ7GpQ3NNDluIrWRLPfvVkLcaQ/fjpJ+3Mw8BA\nxE91eo0x2FpiY42f3bMnZgm+8orRoF+qFAboNWqAfKptN+7g3DnEnuhotKfa57tvH4jVr7+KMkAf\nfsjY6NGidMaSJYy9+SZeU88a/P13eLgSEzH4J292u3a49seO4RoeO4ZrTd5jRRElGiiLQoNysoMQ\nsbp7F8eRlYX3FS4siBUVDpUqVjQbkNbYSUvTLjVz967I0fv5Yb+0NDGronp1HBy58cnUV7Agtp06\nJYhVvXpohNu34aPauBFMsHdvsM/SpaHMrFyJ948aBYbLGDpNSoow7jVoAJLzzDPaGX+vvorPffNN\nxsaPd7+QHWM412nT0AHnzwe50ytEERHo6CtXGqfqjx2LXLPa95OTA2VtwgTtvhs3gjHXr6/dvnw5\nUoZqpKai4+u9WCkpkEHbtDGey44djomVTOViDJ8XFubYP2Xm3VJDVgjVDPq1o6yAJF534U7q0REU\nBf08N54vV0Aegf8oHjpiRf7UvIAr/iQrCAzEM9fdZ2vlyogDrtTy8vUF0bBC6IoWxbPUUeaCMShS\nhw+bv16hAgKomVLWti0GrDJ07mxUoBhD3Nu+3ThLvXdvDIr1ZTgGDULsUZO7atWQGfn+e+2+773H\n2OLF2mudPz9M4CNHGn12n36K43j9dSO5KlgQhGfBApCzFi1AZKwuHs45CE2/fog7/fqB3KlnLl+6\nhNj6449CwVq9Gt4q8lp9+SWUqKAgeLeuXIEd5/RpnE+rVhBROnYE6QkPx99//w1i6OeHCQNPPCEm\ne129ij5cvLjW1F61qvDpUraBJjTRTEEvL1HfirxWVHZB0+g2mzCt03p+lAIkgyUxN0URhdPUqb9L\nl8RU0qAgXKy4OJzMwYNgkqRU0dTQLl0gNyYngzj8+CMuxhtvQPpTFFzw8HB07Hz5wMZHjBCmz9de\ngx/puee0o5MmTdCwt26B+E2e7JqfIT4ehKpqVUjBR48aSQxjkA87d4a3Sr9I8/LlaI9339VunzsX\nTFltWuccnZxYOeHyZRDT7t2121etQpvqVSyaOaGvN5WVhZuZ6oGokZCAjibzXjGG9KuZmsUYAnpK\ninPvlNkMRhlOn3bs6ZKBpti6CzI1egp37uD65FXRztu3PWu8z2M8dMSK6vvlBWjw6yl4e7unOhHy\n5cOg20q6Tg1nqTs1nJEmxkBOjhxxrGx16GBOnjp2hOIiW56oVy88j/WERe8fJpQujeezfnZft24g\noTRjnjBpEmo1qr+7UiUoPZRSI7RujWzOq69qFb+CBXEcERFIC8r8Yl27Iv6OGYPYVakS4vWiRSBO\nN26AIMfFYYC9Zg0EkerVkaZr2RKfP3q01uJy8iQI12efCf9wZCTShcuXI4bFxmJi2pQpeH3mTBCu\nggXx/YMHC19Y//5op6NH0Y5bt+L3/fs4/saN0R8efxx9KDQU+6eng9PQwJwG2OqUYGCgqHFI1QkK\nFRJeK6oB+j9QKpCIFdWrUqcA4+LwppIlcaI0+qEbq25dmPjq18dvm010appGWqcOLtq1a5Ag169H\n0GnXDheibVsc5OHD6KwFCoB8+flB9Xn/fRwveZwGDxZl5BcswO++fbWLewYGwoN18CBGhtWr4yJ/\n+imkzYsXQQgSEkBgdu1CLY+OHUEWo6KQC9+wQa46XLyI8xs+HD9qRESgA6xYoQ2sMTH4fn2xtPBw\ntLt+auqcOVDD9MF58WJttVoCdTA9du7EdZL5q7ZuRfubpd22bzf6u9TYtw/ESz9DUo/Dh8UyBc5A\nHd8VnDnj2AfmDJcvm5eicAeuGPVzi4wMDITyyij/APDQESuzyt0PApUqYbDoyfUJZcuruIJ69eSL\nAjuCWRkDGSiN5wh+flB/HH1mu3bGZWDU72/Y0FjSgDHEyfLlxSQtNfr3RzVzPQYPhndKvxTNm29C\nPVIjLAwCwvz52u1jxqBd9QsnT56MGKMvS1SiBJS17GyQOJmnKn9+xNc9e3A+7dvj78GDkR0pVw7p\n10GDEJvKl4eKdOMGCJV+oB8eDq/Z11+D7DGG73/hBZBCihOjR+MzqRZmeDjiYWoqyNfgwRjA/v03\nxIdNmxDLqCRDp04wvTdqhPhGniuKL1T3SlGghFavLgpl671WVDpHvToHESuqZ6VpMPVsQB8fvLFk\nSXyQry8YWkaGWOOPZnSoidW5c1C7KleGctC0KU6CiBXnOMm//gID3rULjdO/P8iPlxcabP58/D12\nLJgs52C/6o4yfTqOg8hJgQKQD0uWBAHQG0Jr1EBnjYtDUc/oaHxGz57oELVqoUNNmAAy+fbbaNyF\nC81TV3v24IabMgUXX43kZOTLP/jASA7eeQcdRR3AFQW+sEmTtOTk7l3cfHrSdv482l2voCUk4Lhk\nvqu1a+XbGdNOXdWDirLpDflqELFyBJsNDy/9bEczuEusrKYaZSBJ2FPIS2JFa2Q5I7f/ZnDO8+yn\nUaNG/J9GTAzn/v559321a3N++rTnPm/KFM7ff9/993/1FedvvOHaezZt4rx9e2v7njrFec2azvd7\n6y3OP/nE/PXYWM59fTnPzJS//sUXnA8aJH/t0085f+014/bUVM5LleL8xg3tdrud81q1ON+xw7h/\n2bKcHz+u3X7+POcBAZzfvq3dvns354GBnEdFGc+lVi3OZ840HlNODudjx+J7Vq7kXFHk55QbpKZy\nPm4c5+XLc753r9hut3P+yiuc9+6NvznnfMUKzoOD8R7OOe/Th/Np0/D37Nmc9+uHvz/+WLRx166c\n//yz9pq9/Tbed/0652XK4LzatOE8PJzzOXM4f/11zi9f5jwoCJ9RvjznN2/i+377DZ8/YQLn69Zx\n3r0751evcl61KvYtUIDzrCzO69ZV3VuMcf7ee5xPn875kiWcv/oq5wcOcP7445wnJ3NevDj2q1KF\n84gInPSqVdj/3Xc537+f8yZN0BA+PpwnJHA+YADnCxdyvnUr582b4/116nB+5Ajnv//O+ZNPYttT\nT6EB0tPRMa5d4/zuXc5LlkRnyMnhPCQE38c557t2cV6uHOdxcfg/IgIdYMMG7cWZMoXzChU4X736\nwXSM+/c5f/NNfPemTcbXU1M5b9GC8xEjjN//ww+cP/aY6CiEhQs5b9pUdCjCuHGcDx1q/I7Bgzmf\nPNm4/fPP0Tn1yMzETXz9uvw1Pz/jjUlYtUpcMzPUrcv54cOO9zlyBNfTCqKj0Q/07eEIioIbifqH\nO6hcGTeNpzB+vHgQPGiEh3PeoUPefJcFMMaOche5zkNHrBQFz9ikpLz5PgoUnsKaNZx36+b++/fu\nRfxwBYmJaLOcHOf72u0grrduOd5v40bO27Z1vE/Tppz/9Zf8tchIPF+zsoyvRUXhWZaebnztrbfk\nxPT77+XP3HnzOO/c2bh94kTOn37auP2TTzhv2dLYVlFRIBHffis/n4MH8Uzv3p3zixfl+7gKRQEx\nqVKF8xdfxKCCYLdzPmQIjvX+fWyLjOS8dGnOjx7F/+HhnFevznlGBudpaeACx45xnp3NeaVKIJzR\n0Yhl9+9zPn8+5/374701a+L1JUs4f/55vKdYMc7v3QPnWbgQfKFbN8TmIkVwTKGhiFvDh3M+dy7n\nixdj/2PHOG/YEJ+TLx/OLTiY8wsX/v+EGMNFmTIFDPWZZ8CAa9XCzgUL4kSaNuV83z4wv1mzEGx7\n9cKBFSuGg2jTBmRq/nx8eVoaXrt/n/MxY0AEUlMFAVu+nPNOnXAc777L+Tvv4O+xYzkfNgx/79qF\nYEdEZNw4znv2FITl0CE0/p9/ai/irl0gc927y8mEO7DbOf/jD3SMV1/FOeiRkcF5x454XU8Kzp4F\ngTx3Trs9JgbnoB9JRkXhZtUTntu3caPGx2u322xg0TKC8/vv5g+Odes4b9VK/hrnIGpz55q/fusW\njtNmM9+Hc5C+kSMd70P44w+MPFzBlSu4wdzFvXt4YLtC5pyhd2+0fV7gm2/kJPwfgjvE6j+stbkH\nLy9rhSw9hdq1nZu5XQGt7eouGjZEpkO28K8ZSpZEVsTK93p7OzaXE6i4pCMjfs+e5rPMK1VCOklf\nQoExZHmaNEGJAD2GD4f5XG9iHzAAWQl9GvO116CC62cUTpiA9qAC2oTx45GCGz1am1qsWBFtMmMG\nYxMnGj1gVJ6geXNYZ3r1wrlZNa2rkZqKzE+jRsJY//PPwrKQnY2SQ5cu4bzIEP7CCzjuRo3QPiNG\nIENVuDBqYDVvjlToihW4h0JDMdP+6afxGStWoBr9xYt4f8OGYlb8yZPwTvv5iYlZZ88i23H5MtKO\n3t5ar1X58mLpm6QkZPIyMpBy9PJC1k/jsSpQACennw3o5QWTHZVYuHVLTLEls7qfn5ilERaGg6TC\nn0WLwiy2ezdyn+vX4yJ37oyZBX364OJduyYqtiYmooLrb7/hBNu0wYWdNAnHOm0afE+UAnziCfif\nBg0Sta8Yw/tOnoQ5PDQUDbxzp3uruyclIT0ZEoIZiIsW4QLqCzFGR+OilSmDffQpvb59sXq4umQB\n57i5Bg0yeoPGj4dxX29G/vxzTI/V1yv6808c0+OPG89h8WKRx9Zj5Up41mTIycFMxR495K8zhtRu\nhw7OK67v2IGHnBXs2+c49SiDWeFTqzh9GtfYk6m08+dzZ6Z3BZ423v8TcJWJ5ebn36BYcc75s89C\nuc8LLF8uVzbchaJgUBUd7f5nNGiALIkrGDECAzUrWLQIKoUzdO2K1JMZrl3DADg72/x7+vSRv7Z+\nPeeNG8szKH37Iq2lx+LFUHD079myBYN7UnYIR47g+CIitNvv3eO8Xj2IJ3rExgt3A7QAACAASURB\nVEIQ6dIFSqAMqamcL1jAeaNGuNb9+yPzcviwUWm12zm/cwfXc+ZMZKV8fDDADA83Dlpv3sSgvmdP\noejl5KAdn3lG7D9yJOcvvYS/o6KgQl67hn1r1EDaNCsLKbxTp5DWK1MG26ZORYbJZsP7oqLQd0aN\nwvEXL45r2qcPxKVlyzh/7jlkz3x80P6hoZz//bdWWOrTByJHuXI4rgoVoLJxzqFYffoplKAdO9DI\n6emcFypk/MCZM6EMdemC9FHhwvjdsydG5b/9hr9JfqUTGD4cDVCmDNIsGzci1cg50pBvvYW/hwzh\n/IMP8PeMGUJijotD2m3fPvwfEYGTWL5cXKCTJ7Ft4kSj7JmUBAm1Xj3s8+qraLwzZzhPSdHuqyg4\n7m3bcOxt2qDh+/ThfOdO89Tivn24qB9/bOw8SUmQu997z/i+b75BG+tz9+HhkGr1KcMrV9C2+nSX\nouDG/eMP43dcuIC2z8gwvnb3LtJnd+/Kz2vTJs6bNZO/RujRw3lgSEtzLeXRoAHSzK5g5Ej0G3cx\na5Z1Rc0K0tJwj8jSAw8CXbtCffyXgD1KBVrDRx/huZUXOHvWmufIFTz5ZO763fDhcr+PI/zxB+KQ\nFVAgdqaoL1oEkusITZvK7R+cI5b4+WlTXAS7HWkstaeIcOwYYof++WyzIWatWWN8z4ABnI8ebdz+\nxRcgQPrPiolBFuqzz4zvyc7GZ1WqZH5uhKgozr/7DuQqNBQZqeLFkUEpUwa8oXRpxKLhw0FAZJkd\nznENy5QB/6BroyiwuXTqJGLixo2cV6woiN8LLwie8MMPiNGcI6aT9+7990UGLCQE8XnfPsQVztFn\n16xBard1a2yrUoXzS5cQp6dNQzaMHhH+/iChzz+PWLdwIY7z8mVxP5Upo7r2jOFijB4Nxtu4MbYX\nLozA8NRT8DDNng2Gd/EiOgjnwgg5eTK8JFFRSHUpCkZFP/6IG7lyZWwbNkw0YoUKIDaRkbgoSUlI\n2ZUqhQuRlYWcJaX41qxBmosa9/RpnIi6I8TEIP/crJmRtdNFu3ABZKZfP6QKixYFsQgIwE1RuDBI\nXJs2GBVt2IB2MENGBi6y/lgIKSnwmcn8VkeO4HsvX9ZuT03FuW7ebPy8p5+Gv02P8HB4t2RprOHD\nOf/wQ/nxz5njeDT34ouO04ApKZyXKIFRkSNs3Cg6sDPEx2OkYDYyNENoqOtkTI3nnuN86VL336/H\n33+LGzkvUK0aHgz/EjwiVhaxYoW50uFpZGfjmacfUOYGH36YOwP7ihUYnLmCu3fx3JENFmWoX5/z\nPXsc7xMXh1igV4LU+OYbKClmGDIEConZe7t3l7/Wo4ecXG7diligH2DHx4OMbdmi3a4oeJ737Wsk\nkrduIaa+/748TmzdimdIr17WfVV2O2J3QgKUKpmPTI8zZyDAVK8O8kLIzoYBvVkzcQ3OnAFRI1El\nPFxYg9LT8feePTiOevUQZzIzEcPPnYPgUqkSXh8zBn01PR19JzFR9N2YGMR/ux2cZ+1a8Jf+/XEs\nRYoIw/u2bSCoY8cKrxXn6Dv/U/0YQ+AcPlx4qzjHRYuM5HzgQGHs6tEDhKdQIRz8M8+AJW7cKJhi\nlSr4nAULEJQVBRfr+HE0wGOPYduHH+I7Ocd+RBaGDYM6Ro0YFAQTPecgf+3bCwXgwAE0+vr12gs9\naxYY5ocfOldIFAU3aVwcGsURiVKD/FbVquGhKJPCY2JAVN94w9iRr15FG8tGI4MHY0SiB0nA+s5r\nt3MeFgYZU487d0BcZcdnt4Nc6mefEO7dQ2eLjZW/zjnnv/xibeT4xhvWpfuVK103xJI/ymzWjhUE\nBaHvegoLF3L+8sue+zxHSEvDzW/F0JtHeESsLOLcOaQz8gpNm2LGmKfw11+OPZrOQLO3XO27LVog\nRljBlCkiM+II3bsjoJohKclcleIcQkJgoJzwZWRAUCAzthoXLmCQLZt48+KLIiaqsWMHCITemJ+Z\niUksr79uHMzHx6PdevaUx8aMDMTi0qVBztTEJzdQFJz3Sy+hfWbP1rbR3buI7V26iHgfHY14R9mQ\nmBik3bZvx/9Tp+IYOYcyRqnWH38Uxv833wQPUBQQrDNnwFeov7Zogbi6ejUIFec4vps3IRZNnQoR\n57HH8FqNGrhW776LeLZrlxAMihRR8QfGEACGDIHiVL48ttevz/mJE5CoJ00C86MZXbVq4QCnT4fc\nRqOHnByk2ebNw4GR/Dp+PH4UBQd2+LAwYCcmIpiVLo1RVGws3kcB7rXXIP0pCj6rRw+QPbV5vXx5\nnKS6E12/DtN16dJQyRyRA1eQlSVm9oWFmc8SOXQIF3LyZGPnjokBW58/3/i+pUuhBOpHTffvY+Sy\ncaPxPT/8gIelLE35zjvoXDL8+SdUHrP05ty5zqXxzp21KVkZbDZ01itXHO9HGDAAoztXsHatmAjh\nDtRqq6cwdKhjtc+TOHJEjJz+JXhErCwiJwcPZb0q8aAwciQGn55CcjJUsNwMaurXd91nNX06sihW\ncPYs0knOJqb89pvzmbWDB8uzBoSnnkJMlWHePPNB41tvgQzpER+vtcKo8fHHIAd6u0FKCuLTu+8a\nn2lZWegDNWsixsuQmsr511+D2NSrh9TYqVOuTeyx28ETZs+Gch8UhFmKerX09GnEwzFjhMp27x7S\ncOQLs9lAlihlfukSntc3buD+qVsX2SVFwXNw0yb0x4AAZK8OHEBcpczZ55+Lqgfp6WinadNA5vz9\nsV/PniBsa9aAdyiKUHtffRUzN9evF9fT21s1OGAMwXzAAG15hQ4dwOTmzwfpoptHUYTJKzxczDSr\nUweq1M8/w6jGOW6WvXuxvWpVvHf6dFFv4qWXhIrRv7+QUOfMAaO028EAH3sMRj7OQTDCwuBLoA4T\nGYltL71kJCRnz4Jg+fmB3S5f7jrJSkvDuQ4digvVsSPkQFkQVhSQAr2SRoiNRSeTlUo4dQqff/as\n8bWRI+UqVkoKiKVsZEFqlVkZhbZtzb1RigIiTaMDGW7fRrs6U/n27EFfsAKbDW3n6kzOkSOtK2Iy\nrFgh+q2nEBqKact5gcWL804ds4hHxMoFhIXlLo3tCpYtE/V/PIXGjTF6dxdjx5rbFcxw9qxI8zgD\nPc+cKXUZGXgGOyq5cuIElCcz7+SePYh3MitDRgZekz1XExPxLJelLNevR9pL71ey2/HcGjDA2A7x\n8fAyv/KK/Fh+/hnnOmaMeWrYbsfxjBoF8uPjw3m7dsgezZyJvrR2LQjIihUgY2+9BeUvIAAZnUGD\nEC/1x5eRAaIUEMD5Tz+J7dHRiBdvvy1i7IQJSMPl5ODniSfEoHXOHByTooAE1a+P71q8WGRThg4F\nCc3JEYP8P/4Qg/EmTdB/164V5SyqVkVKdMYMHAv5kTkHmVq3Duffvz8+19tbdXKMoUGefRYH4+2N\n4Pbcc0jzkFmdc/iIbt/GDTBxIi5ciRLYf+hQFHsjWTcrS8ivigJytGuXCPYJCSASgYEgQxERYIo3\nb+LzWrSA94tzUabg77/x/507uEneeUdcrLQ0KFlVqshVneRkmBN79MDx1akjTHDff8/5r7+iodes\nwX7TpqFDNGiA0WTz5mhgRwH/zBnIgo0by70uV66gc5I0qUZUFG4c2ayUtWtxXjKD+fDhOG8ZBg3C\nTSODo5ufc+TbKW1rBnVRNkcYOtRx8T01du+2TsIIioJ2NRt9WcHQofKZOe7i/n0MRKx6QHKLESPE\n/fIvwSNi5QJeew0BIi9A9f88qc6+957rxEiN3bsxEHEVdepYH7zMmAG1yRnGjMFkLkfo0EFLBvTo\n2NFctVq1CiqQLPW5ejWUJJlXacwYTFDRE5S0NMRLNREhpKaC5HTuLFJsasTGgnhVrAiS4MzgHxcH\n7++MGYi/L7yAmNq3LzjE8OFQQ//4w1iYlKAoUJeCg0Hw1QP/a9fwLJ82TZzL0qWIfySITJkC9cpu\nR/aHShjZbOAFGzYIm8u2bXgWk8CwbZswpA8ciHuOZgZmZiKzNmmSEJJsNghL8+dDIKLY1LgxxIx5\n82BzodpX/wNjIBM9e+J/Hx/IcG++yfmXX4Is1KmD11q2xMy4VauE2bBGDeyzYoX4jCeeQGC+eBE5\nUZsNn/Xii+KEqGji888jQHMOFYdGUteuocHOnMH/q1bh4lOV2sREmNxeeUXbQcmA9+yz5qknmw2m\ns59+wne+8gr8Yr174xwGDwbhmj8faUtnwTE+Hgw+IAAF12Sd89AhPMwWLJC/v04duXkxIgIKjkyR\n2rULIyfZNNljx0BazTxmbdsihWiGzp2FSiiDzQYiqK8CrEdGBjr1/6ahOsHIka4X1LxwAX0jN4Gi\nWjXPVqTescP5bEpPomnT3CkGDwCPiJUL+O67vFMcFQXKiCcL4W7ZIopBu4OcHExcsvqcIHz4oXx2\nnAxUdNhZyvXSJfNZ1ITwcARxM7XswAGoaTKCpCh4/poR6WeflZ9TdjbaWEZg792DCDBhgvE5mJMD\nwhMcbP683rsX5KxmTcQoq15jV5CTA8IVFgZiqc/obN6MGKkuWrp6NbZR4c39+3FtyFf20ktI43EO\nYkiWmA0b0B6KAqGEuMngwSCFNhs+59o1KE+U/m3bFmlEdeHaVq2gMK5dK9J+lSpBZPnkEwwqEhKQ\nvfkfGMMJkdmrUiWQF3qDOgU4aBAaXV2I8aWXwMzJVZ+Tg8BIue/QUASZhAQoRQkJwuCXliZypQkJ\n6ITVqonZcIsX4wLQjfD117jwZMROTUU+u21bLetNSwNh8veHRCpLrXkCEREYJZQqBdYqSzEqCiRL\ns9RgQgI6mmxWTUoK8sVffSV/rXp1XGw9bDYEdbMR09ataEczs+iJEyDEjjwT69dbq5i8cqX1a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tGbldwaJFztVvZ+jVS76WqiPY7chuWF2YOSkJz56TJ53v+/77zj2gVNTaURpz1SoIDGYzH2/d\nAkkwsyekpeF6tWqlLU+gxv79IA3PPON4huWePTCF+/pCzNi06cGkoVNT8Uzs3h1x8a23UJNKjWvX\n4Kd6/HGt9231arQpldOx23Ed+vfH809R8D/VMUxMhD2EsjNvvy3Sg7//LorY7tsH5U5R8Hfduti+\nZo1I6c2cKRSt/v1B2DjHM/fqVZxD5crY9t13ulVIGMPvokXBwPbtExWjp04VhSuffFIscujvjw5A\ny9dkZyPvWaWKcOMHBaERrl7F/vfvI3hWqCBqU7z1llDHEhPxHip4GRWlTZ/Z7SAs9epplRUqejZx\nopZAETPv3BmvjxgBGfFBeFGio5FqbNoUF3X8ePP1+TiHslejBhiumaFx+3bc9GbVz9PTQSwGDjSv\n/vvrr7jwjmbLfPgh2shRu8TGak2BjvD++67N0nv5ZdcrrXOOB4vV+lgyJCai78qWCXIXSUlIrVgd\nAeYWFy/iHvkX+qs4f0Ss3EJ2Nvql1RluucXdu1DjXVWHHCEpSdQ5dBfbt4v6Q67gl1/ErDArmDtX\nlBVyBCpera+VqMeyZchyOKpcPnkyYoUZibl+Hc9tM2JptyOLU62aOSlMT8c+/v4QKBwRpvh4eK9a\ntEBf6NULlpqDB90jWqmpUII+/xxtW6IEMknLlhn9xZmZIDD+/vitTk9++y3iKSl8igLO0KKFOK5v\nv4WIQv8PGiTSyDdvCrWKCrpS/caBA4W6+PbbQggaNkwsUN6njxgkh4TAZ5adjZRodjbOkWYXfvml\nKNXAORfEqnRp3MyXL0Mi5BwNQUW3xowR3qru3UVKKDRUVDsNDgZpohWmSbp7+mlR2Gv+fFEULTkZ\n7J38VYcOaYuiHTuG4yJTm6LgYulH6dHR6Ax164qCYWpcvYrgXbs2lLcBA8A+L11yz/gcGwupcuJE\nzErz8wNr3rDBcd46IgJtUbkylDEZSA4tU0Z+LpzjpuncGaMMs+M/etT56Gn3bkigzurGvPiiNS9T\nZCRy5lY9S1Rzy1Uioq6H5i7mz3dvFqIjLFsmPIV5ga++yp1R+AHjEbFyE337itFxXqBzZ/kapbnB\niy/mbu1NRcHz3NUZhjYbrBNWfWrZ2djfGWHiHMdSpYrz+nQvvmg+i49z/6H0JQAAIABJREFUobo8\n/bT58/vqVcQJR6nFX37BM37BAvPvunwZsTEoCKqKs+xNQgLSWq+/jthepAjiepcusP5MmIAYPHcu\nru+MGRicDxkCz1WNGnhPw4YQM9askXv47HZ8T1AQsl5qS0d6OkzrtWqJZZcUBTEoLExkrY4dw/nT\ne//6SxQX5xzchWZn79qFY7PZtOU57HZk4M6exXfQ0maKgthINqbChXFcV6+iD3COGN61K/6eNk03\n456IVVAQAh3lGDmHpEg5xqVLBcmaPl2k/d57T9RemTBBBOC5c0XgOnQIB5OdjZ/atUXV2E2bkO4i\nJjtrFr6TOsCOHWg89arky5Zhm/phoCiY+VatGk5WNkNDUdDR5s9Hpw4KglIXFgZJdNQo5G1nzQIR\nnDMH/48bB2N5y5Zg0L6+IIcTJoD0OQvwkZFg2qVK4QKYpb3u3cO02Pr1zU2VSUnI8T7/vDmJi4hw\nbJbnHKPJSpWcVwfftAnt5Gx9Lc7xQHHFH0JrMrqKgQOtL+pshiZNrFdrtoqePTGDNq/w5JOOr/E/\njEfEyk0sWSLWTM0LLF3q+QHBnj0i1eIufvjB+nJYaixfjvvb6ndv2gQxwYo689przmcT3r8PUugo\nlZmRgXMbPNj8OCMjkdocPdo8K3HhAkhMr16OPWB79sA3XL48yJBZGlGP9HSQjg0b4MeaNg0xfvhw\nZJDGjIFXbcECEI1z5xzHw7Q0qEzBwfBJqeM65yBJ9esj9UacQE2qKMMQGQlCtGoV/k9MxP8k5uzY\nAZJFvu3WrcXauHPnioKyu3YhC8Y5jp2KhV66JP4+flykCsPDRZ9U+9Hfe0/njSNiFRIimBqVWYiJ\ngaLAOVQCWstq714oNZzjgtGaO2fO4OTsdpAEdRXdTp2En+Wvv0CAqCMPHixG3oqCk37+edGZtm41\nkqtjx3AzDBumvSGyskCKypSBn2vnTsc3WHIyiN/KlWDg48f/H3vXHR5F1X5f+/d9ChiSECAUEQEp\nAhKkBgRBUCGKoHRBBBHpHURARClKbyoIgtKLgIJUhdCLodcQSiCFQEJC6maT3bm/P87vOrO7s7Mz\ns7MlyHmePGKyO/Xe+577lvNiIPfvD8b92Wd4YIsX41g3bzof5PY4dQphsYAADEClgf/nnyAw/fo5\nJ14JCRh0ffs63+kkJODZOqs+YQwDv0kT5dwsxrB7KVlS3e4vMhLvXm1IgVcyaq1I4l4xd0J4UVGY\ndO7INNiDh1S8pbaeni7qrvgpHhIrneApFkZJw7hCerrxIrm8R5s7FY684ImnjqgFrwpTU2jD0bat\nGA5SQmYm7I6r5Hxeyq8ku5KZCXIxdKhzG3XvHtIe2rZ1vrnNzcUGNTgYdkrJ3p06hYhNkSKws3/8\n4flxxmUc+vWDHX/nHdhy6XXm54shwe+/F/+WlwciW7u2uOanpWFszZghHr9DBzEfKi8PhJRvOnfv\nFlsPWa3wXPEK+l69xFzuqVPFMOKiRWLLpyVLREmoefPgzWMMqVLckdCvn11eHCdW9eqJpYzceyUI\nYjluXh5cfFlZeBG8ZYd9V/Lq1cXQXZ8+KKlkzLFVStu2KHdkDMcpV07Mr8rJQZLZqFHidf75J14K\nZ6iMwXvz/vsgfPYDODsbRO7FF3FN06YpV70ZhaQkMPtatWC8v/pKmQSkpoL1limj7EE5dQqf4f2N\n5JCSggHlqjR40CDsXpSIBSe4NnFjJ+ADWctC9u67zpPylTB4sPvNjXv2VC8mqBYLFxofWlTC+vWi\n+q+f4iGxcgMNGnivvQ1jMExq9Om04Lvv3JcCmTtXLHjSgl27QIDUkoZbt2DU1RSCHD4M0uSsMIlj\n+3aEk3g4Sw737sExMWiQ8w17bi7IRbVqylXQp0/DU1evnmsdvbQ0EJgGDUSS9eOPOL4ROZv378Oe\n9+0LPvHii7CF9knrjIE416oFT5D0WaWmIqE9IkIklSYTnAIDBojXOWcO8qykEk08b9hqBSnjuVIb\nN4reTN6UmaeuNGwohoS7dBEL9/r2FUncwIFiDlbfviKZ6t7drjKfE6vmzcXMe+mLqVVLlEgICxN7\nLDVpIhKBLl3ESTljhtgviqun84cSESFe4M2btjoiR47YtmpJTgbLlLLAEycQ4uICpozhvxs2wLPS\np4/jrstqhVuwZ088xAYNwDSPHlUvw6+E3FzkmE2ejKT/IkXgxty1S5m4mM24t5AQsF0lz8Mvv4BU\nKiVrJyZi4vFiA2f44QfkFLhq9rpwoa2emBK++gpETe2EPHAAO1GtlYB37oDEu0OQuSK80cnB4eHi\nxsAb6NrVeY8xP8FDYuUGpk/3bv7cjh1iFMIocIVzJWLhCiYT1nxnEgVKaN1a2+bt+++RhqLGLkyf\nDgPtirh9/z08JPb9a6VITYXt+PBD5+cWBKzdwcHITXIGqxX2okwZpCZwMU0l3LkDUtC5M9bl4GCk\nGQweDDvwxx/ouBEbi3Xz3j1c861bIKKRkTjnV18h0lSxIlJsmjeHQ4NHwuwRHQ1CV7IkwtHSz5w9\ni1Dy4MGiHeXtbTp0EH+3dy9sKCdsly6BV/Axt3IlxrXViuPXri16shYvFkk71x/MzRXzq/gxXnlF\n9HC1bCnKOrRpIzp62ra1cyxwYvXuu7YfWrcO/+7YUezt16ePqHo+caLoOfj1VzBLxkCIihQRQzzt\n2olJjBcu4KVxD8706Yh98of0/ffwfHCSceMGXrS0R2BcHNhpt262rtG0NDDIwECQHLmqjNxcLCBD\nhyJm+r//wRX76afI6t+wASQyOhpEJS0N95OYCMJ34AA+8+232EHUrSvmaA0cCGLqquFwfj7Yc/ny\neElKpb5ZWYjpV6igrOp7/TqOp+TNYgyGn+t1KIEnvst1I7fHmTNiA0w1sFjgpteTLDtsmFg6qxeT\nJrnXW1AO0dGY3N4SBTWbsQgoVZ76AfyeWJUt67/E6vp1zCsjNn9qwBXP1RhiLRg1SpTR0Yt580Rx\nRi2IjoY9UNvUWRDgNXEmxGz/2XffVSdkOn48bIRSmkBWFshMmzbKFYUnT8L706mTchqFyQT7Wrw4\nNr2uUmKkuHkT5OHbbxFNeeMNrNmlSsF+P/ssbHxoKK6lQQNcz+jRIEjnzimP21OnYL/lbLUggAcE\nBdkWcGRl4d106iQe++ZN3B8vcMjLA3HiTp6cHOR28xSi3btxvdwzWKeOSJLmzhU1zc6fFxUOzGYx\nUscYfs+dP3XqiFG+11+38zBzYvXBB2JyV//+YhXfhAliHHHJEjHuePiw2Lg5J8e2RLhTJ5GARUXh\nhXDC0aePmPhusSB+zHcVggDPUtu24s3zLHx+PYwhNt29Ox6S/ULAWXCJEjCiSmG49HQ89Nmz4Vp8\n+21MgPLlYSgLF4aHJCQEeUv162Pgcya/b5/6HJfsbAyY8uUxEF21jjl6FISqe3flCXnmDJ6vK+/F\nvn2YFK52fvfuISzLibUS8vLwvHgDTDX48Ue4XLW6m2/fdp9MmM0YF0Y2nmUMxsMdBXit2LZN1GPx\nV7z/vv8TqyJF/JdYMQYj4U7fPa0YN05sOGsU4uMxb93J3zKZbA2kFowaJRZdqQFvq6bGQ3b/Prwq\n0o2/HAQBz7VBA2V7kZsLO1yrlvJGNTsb9qpkSXhklNZSk0lMiXnxRdhatUTTSGRnw6Hw2msgZFOn\nOhLD+HjkX9WsabupT01FRODDD0UnzL17cI7wCBhjiNZIIydjx6JIjTExgZ07iY4fh1ePk7R69cQI\n3LRpYh7V8eNicntWFvLP+XdCQ8VwcL16iFz9A06s+vUTycuUKWJTyTVrRAG58+fh1mRMzK3iYZku\nXUQF6H37MOA4OWrZUkxcv3PHtq/SjRu2Azk3FwRGaqhu3ACx+fpr20HEQ2T2+heMgXDwxPFPPvGc\nhpUSBAEvpk8fXEdEhOvY9/37IG4hIa7JDRdPc+X9OXwYz9wVmcvLw8AfOlT5cxyjR4sNMNXg7l3k\nJsh1cneFPn3UX5czLFli18/JAOTm4l2pFUQ1Ah9+6F4pu6eRmspYoUL+T6wefTTMa3359GDmTOO9\nq0rgiudGF0T06iXm2urFihUIyagtHOLIzobt0FIBvGYN7Jya5xATg/nP02icwWqFXEH9+sryMoIA\ne1aihJ2hlsHhwyAhr74K26wELoTZowecIK++ijXk6lXP2cW0NITHunWDl6tlSxBB+6iOxQLuEBQE\nci+dk5cvw8EwdKj47rOyQGSGDxev/c8/QTR5yPXCBRyPb8T//BPH4Tzhgw+Qi8UYngHvGcgY9CG5\nasHs2XhvjIGjcJKVn8/YE0+IUYoqVeCp+wecWH32mSgRv3y5KM9+7hxIEmO4ManwW8eO8EAwZtsj\nUBAQruMKuIcPgx3yB7ZwIR4Mf1D2A5mzUX7jjOEB1ayJhUYa1756FbHcGjXEXDApEhMR+61YEef4\n/HMMME+52PPyEI8dNgzeKU4IXYXKrFY89xIlsBAplcNarUj8L1UKsW8l7N8PUuUqEZZ7CyMi1FXL\n7d5tO5DVoGtXfYnnFy9ikrhTCcj1baSNPo0A34V5Czk5ouidv2LNGsZatfJ/YvX002EuDaIvkZgI\ng6Q1F9EdtG2rXFGsB7wljDsVs1YrPDl6uhpw/SkthPGjj7BeqSEdfI11FUa1WhENCgtzLZ7KW519\n840ymbRYEK0ICgJp4hqQSsjJAXHo2ROhtFKlYO/nzIFTRE/vyLw8RIvWrIFjoF49FLi9+SbCbHLr\nlSDALtWsiciVfW/Z3bvxDKQREbMZBO3DD8V3c+sW7CaXWrBa4eHiURyrFc98zRr8/+3bYiNmxmBL\neYoJl5viob/33hMldH75Bfld0nNylCpl257nH2Il9VLt3Ysb5Tfyn/+IZKZlS7HU9JdfxKqP/Hww\nd1618NNPeKgcERGi2JnVinCQNHzVsydugg+i+HhUE/DMfMZws+++i+9KDbogYEdTvDjYsVy1hiCA\neI0eDRLGPUhff42Jp7YZsxRWK3IhNm9GyLR5c7yUmjWh7XHypOtj8sEVFgbX/9Gjyp9PSkLMW6nZ\nJsfOnZhwfMApYcoUXLcauYSkJJAqNcfl2L5dvR6WPVq3Fisx9GLNGrF/lJFo2FBbNaS7WL9en7aP\nN9G9O2Pz5/s/sQoNDXM7Z8/TaNHCey2SGEOhjzQPxSh06yZWgevF/v3aJF2kkEr6qEFWFrwTavtw\nrlmDNdFV/qogYHNfsaLrpP6bN2GHX3vN9cY8NRXHLVoUebn2JEXpeq5cAXnp0wdrZKFCIMI1a8JG\nduuGXLIRI+AlGjwYUaD33oPnq3x5qJE//zxCeVOnYhw52xAIAhLemzSB0+bXXx2lF8aNgz2Xhn+z\ns8Ep2rYVHSNZWbhOqX2YPx9hV+4gWLYMTh8+pj//XGyBY7WK/QMZQ/SHi34KAjgNJ6sjR4pdQg4d\nEh1JjMl03ODEasEC8WTXruFkHFWqiArekyaJOVIpKchD4g9w6FAxH8tkwkVx99ilS7a9AbkXgpMg\nkwks94svxPNeuYI4plRozWrFQw8NdQxtpacjrlq0KF6+kgJ4QgKM1PDhGBzBwSBFNWpgMevSBSx2\nyBAMqKFD4RLs1AmGjVc+lCqFlz1qFATS1HpVLBYQsgYNsJCtXet6Mdu6FSx5zBjXidLLl7vWUeFY\ntAjvW021XV4eYtVc0VYNuHibq1CkHLZtg6fRHa0ViwXP2Ojy9agoFFd4K8GYMZBMb6pya4XF8s+8\n9ntiVaVKGCtTxm9bAjHGEDrxpqyGICB3Vm2/PbXgrc3cbSHVpYvrymc5pKdjjXMliCwFDxGpze1a\ntAieMRvPhRN89x2Ig6twn8WCzX9QEL7jykbcvYtNfrFisEtbt2pfnwQBjouoKNioZctAMKdORY7W\nzJngC2vXQqfs0iV163NuLsZzrVqwn4sXO17b9esgdy1a2OaC3b8Pktm1q2j7rFY4Wnr0EOcw70HM\nc7QyM8EVeO/AtDSMw2vX8P9//YXxzr/foYPozLl8WRQJZQzzkIcIV68WRUYtFsYefdTu3XBitWIF\nSAN/AE8+KTK+jh1Fd9iBA3gwHE2aiCc7dw6snT+sKVNsOz4PHIgKPI4pU/B9fp6kJAxMqazA1atI\nprav1Ni1C+caOdIxZnv7NohVQAAmIm+z4wppaRhM27bBGzdnDpLjvvkGA+r77/Gcdu4EMdSzc0pJ\nwXFfeAE5A6tXuw69JSdjQJUrB6avBEEAOX3uOddxd8ZAwEJDXe+0OPr3B6PXsqPt3FkUb9OC3FyE\n79xVSP/lF30J864gjdN7A0lJCMUb2dfNaBw4gM0JY74hVkT0GBGdIqKtrj4bFhbGypd3bOLuT8jO\nttXa8QZ++sn4XETG4DGSahPqQUICDKOenMbISGxMtUit7NrlWotKilmz4MFRUyW9fTs29M76wUpx\n4QIIR8OG6saryQTiUrcu7nn4cERsjPZEuoIgIArDK/abNUMlnv115OfD1gYG4r/SvycmgnP06yf+\nXhCQVhIeLpI6kwneK2ko+/PPbTnIl1+K1X+M2RbamUy2ouYLF4rCoIxhHHDSPHWqmNaSlgYHkw04\nsdqyRXSBMYaXwSfz5Mli4jAXB+U6SLNn2yZYSksY09Nt2eO9e7aJ6xYLvEUTJ4rfP30an5Ey+fh4\nxipXhudI+sDv3kUlX5Uq8p6ZtDSEH8uVQ87WtGm+KVHPyoK7k3cS79RJ7K+oBIsFi1zx4vCcuQqj\nZWVBpLJOHXWLx5o18CqqIWCMofqlYkVtvf1Wr8Z3lEqInWHSJPdbbZjNcFE767uoF7zaycgmzq4w\nY4btouCPGDbsn0RlXxGroUS0Si2xGjlSWxsmX6BPH9s10tMwm+Fh1qMdpYS4OFsxab2YNw8GVQ9J\n+PxzeEO0fHfBAqxhaisbZ8zAxlbNZvXiRXjTP/zQ9fpuscDYh4TAS6PWll28iDHOe+V+8gmcF55q\n9J2cDE9X7944X8WKGL/OBFWPHAEhatZMlDLgOH4cY3HiRFt7OXEidBal76RPH3iR+Oe43AaPxKSm\n2mpn8lwrnlO2eTP4CEf79qJSQmIixi4/9qefimHiGzeQQ24DTqwOHLAt4ZaWD+7YgUx5jtdfF8UQ\n+WThXqOlS5EDxDFpkugJYwxsslEjcWAnJIA4SA3fzp2O0gDJyfheRIRtEiTvEViyJF6kXFKgIMCd\ny6sEa9cGcz182LXulB5YrSCP8+aBGBQqhPyrhQtdC3Ny7NmDwdaggesEdcZwvhdfxIRTU+n0008g\nz2p1a7ZtU6eBJUVMDIi1nirAy5cxCVypG7vCnDm2uX5GYehQdar0RkEQ8H65UJ0/QhDgcf7/MeV1\nYkVEpYjoLyJ6TS2xOn4cXlF/DgeeOIHn6k1vw8yZYqm6kRgzxv3NgcUC742eJPv8fNgRXqilFiNG\nYC1Wu0FctAg2Sc36mpkJ73flynaVZU5w/z48f0WLYiOjhSBdvox8pNatQSoqVAAZmTQJudOnT6vf\nOGdmwnO4dSs89926YY3i9m7aNGUtxAsXkKNdqhSiCvZzkFf927cPmjkT1y0NFa5ahSgQ5wZWK94z\n90YxBlLNe/sxhpApr/hjzFbo3Gq11Wf84w/b3NY33xQjdadO/eOlF8GJ1fnz8PxwSIVB79zBS+A3\nPnWqbWhHKgVvMoEU8ST2zEzEe/mAsVhA2qSTYudODELpg9q0ydGbYjaDlVau7Mhs79/HNQUG4oE5\nqwDJy0NcdfBgEJenn8YLGDAAHpnISBhzNWKPViuI4cGDeFbDh4N0Fi0Kd/BHHyGmrJZMMQay17Kl\nqCWlJvn9xx8xCNQ2AJ41CwxbjQAoYyB2QUGi6r4amEwQldOjDm61Io9Lql2mB2lpGHtG61alpHg/\nPHPgABYtfyYAf/9tQ1J8Qaw2EFEYETVRS6wEAd4FJaFef0Dt2sY3DVcCX7fVtHjRgvR0bNC09v+z\nBy+nl2uR4grx8bgGLRWhVisM75tvqs/3XLtWncwNx9KluKepU9XlRcXFITUjIABhMrXrOYfFgrVx\n+XLYrlatROHs//4XKSLVqiEM98oriIRUqwaSX7gwPlOxImze4MGwQydPur72U6cQngsOBvmyT3LP\nyIATpEIFR6I5a5ZjHhsXtJaGSOfOtU1g5107eCK6yYQxwI+flWUbBjx5EvfGMXGiWNzHGP7G58ae\nPbBXNuDEKj7etnxwzBjbppShoWKcOSpKlGBgDAZQGov8/HNbRdrp0217RvFJIS0NnTABuxCpt2XF\nCnnW/8MPojKrvaG5dg0TICTEdZ8+xjDRd+3CNfbogZdRqhQ0KooVA0GqWROx6tq1QRYqVsT5H38c\nn6lbF0R00iSwd63hRosF4dOmTTFoFi5U50mLj8fOo3p1dVUgVisGR6VK6hIsGQOxLV5cW7sWQQCp\nlLpltWDOHIwFd5skDxuGaiCjMW6c7c7HG+jc2VYMzx8xYoRNYrFXiRURtSai7/7/306JFRH1JqIo\nIooq8//++5Ej9SVEexPLltlGAryBKVNsow1GYckS2yotvZg2DZtiPevEvn1Yu7V44PPykCz97rvq\nE8J5yxW13rUbN+DteeUVdd4rxhCmGjMG99OiBfQN3Sn24X304uJge//+G3lShw/j/69fR/hMy9pu\nNiMd5vXXxbZ0cp6xY8fgefroI9tcUmk1pTSKcesWjif1al25Avssdb706YN+jByLF9vOpxUrbCMb\nkyfbdgyIiBCrvy0Wxp56SiSEv/4q0xOTE6vsbMgqcCxZYuuybdNG1IGwWsE2+Q3ybuz8QXD9Fa7F\nlJMDD4m0uuKbb0AkpMloHTqAoEhf2OrVGDD21ROnT8PD1rGjvEfowgUQpYAAsHqtO9L8fLDXK1fg\nij98GC89Kgruzzt33A8j3r6NxeH55yG38PPP6jxlgoBQXnAwEtXVXEdGBgZH48bqcwWio0V1Xy2Y\nPx87Gz1J1rzXk71HUs9xgoKMzyPgcXpeVeIN2OcC+CMEAXNcsgnyNrGaQkTxRBRLRElElENEK5S+\nw3sFnjwJD7E/ewNNJqyDSk14jUZGBtYYo71WViu8Hzx/RS/sO3doxYIFiH5oyRnNzYUBbt9efQur\nq1dxnk8/VbdWCwJCicHByK1Ve30mEwh448ZYoz75BNEZb7XasofViijHoEG4l8aNYePknkF6OohM\nsWKOwtj5+bgXe/2vjAyE4LiME/9s/fq2PYZPn8Zx+fppteJ9/PWX+JnXXxf5DWO4Vh6F470DOd+J\njYVd5Fi8GFzDBpxYCQIqAbnHaO9ehPg4Jk2yFXfs2tVWyj8iwrYM/KOPbHVL1qyB54fvLnicXKog\nnZODMKF9Kf+OHTCS9qWy2dlwgZYogRir3MIYH4/jlSkDb9PMme7n7biDlBQ8p5YtYSy7d0fyntpF\n/dQpJG6GhYkSGK5w7RqITu/e6slgTAxKTbW0q2EMgzUkRF/j1bw87NTcFSgUBEwUT6iTjx8vM4k8\njC+/tM0F8EccPuwQqvSZ3IKWUCBjYv4a7/vlrxgzxv1emVoxdarYecNIREVhnVASQlaDGzdgtNXk\nocqhf3/kzmjZJJtMCJu9/ba6fFbGQBwiIkAo1YYv796Fxz0kBJtVLdcYGwuPY506cC506IBQ3ZUr\nnt1A3LmDEGjv3iAj1aph8+/MMygI+HypUlhX7Tf99+5hLX/9ddv0HpMJnr2PP7a9n1GjYFu5w4Zr\nZkq5ym+/IbzJvxcbizAh90BxkVCeT3fzJoiZVOVdGvqbNk2mKwgnVozhQfAwVnw8XijHn3/CoHOs\nWIGBxfHrr7Ynu3gRF8MvjvfqkebcXL2KSSGNt9+5g92jvXE9cgTXN32648A4cgRibi1bOi/DtVoh\naNmjB0ha7dp44ZGR7rlNXcFshrdt0iTsrgoXhit51SptlXK3bqFcuVgxyD6odX+vX49nPG+e+gnF\nZTOk4qxqvxccrF/dfNQobS1ynGHVKowHo3dqd+9631uVm4txr7Zy01fo189BALLAECvGMD+lUjD+\niIQE73suc3JsdYCMxODB2Fi6i/Xr4fXX4nnisFggaqlWZZ3DbIbXqlkz9YrugoBwfnCwul6sHCdO\nIGxVtiwiFVrXtcREkKouXUBgihfHOjtmDCJCf/8NAqPl/k0m2HjerLljR6SYFCmC9JQZM1x7V/fs\nwUb65ZflZYTOn0cqztChtqFXsxnX37GjrR3csgXOAClZX7oU5+CfEwQ4JTZsED/zxRe2G5ZVq2yb\nfq9dizHC8f33tikmo0dj/bCBlFhVqSIm+goCkth4ln16OhK9OWu+dw/Z/5wcmM0gYtIEurZtbfNC\nzp1zDM/8+iuSR6W5UNeu4QHZ63vcvAmm2bWrY8JbXh5IV1AQWKxSnlN+Pjwro0aB0T/zDDxlffuC\nTOzdCyKjJQfAYsH17d2LHKm+fZGv9cwzuOYhQ5B8qrU3WVISXKkBAbhetYtqTg7iys8/ry1R9Ngx\nvEetas/x8fAKag0bcmzbhknvqtWDK9y7h4XDlYK9Hgwc6H2PwdKlyJvwZ5jNsonEfi8QKiVWN2+C\nNHtyk2UEPvgAnghv4scfsSk22tORmYk1w4hG0337wt7oucbsbMfec2pgscDWhIVpazF1/DgIQ/fu\n2kjygQNiHu7s2fpSLQQBHppNm0Ao2rUDsSlcGPaeR3ZefRXrTuvWIHVNm+IZVagAW/Tkk/j3G2/A\nPv38M+y7q9wzQUDRQNOmcKCsWuVoZ3mqS1CQWEDHIc1zkxLM69fhdJAWWKWkwJZJvZmbNiFyxs9p\nsYBrSFOF2re3dSoMHmw754YOtdXV7N3bVsScMWZLrMLDbb0NNWrYXtRLL9ka6aZNbZOaueQ9x9mz\nuDEpox8+3DbRnV9469a2D5jn96xYYfvZ7GwkVFavLh/7T01FMiqvlJAmyDtDejryv2bNwmAPD0d4\n8YknYKRfegm/a94cTPatt7BTCQ9HFUVICD4bGgqvVI8eGPiRkfpBWvxHAAAgAElEQVR2Ufz+efPm\ngQO1dSQ/fhzX1aGDtvNv3YrdFC8jVYuUFLh87UVc1eLWLcf2BXrRo4c+MVJXuHYN7mJPab/Igatg\nG60YbzQ2b7b1Zv8/ChSxYgxzWppn4Y84cwZzxZv9A/PzMb/ty96NwI4dMObu9BFkDIS4Th39pDMl\nBeu8tGBLDQQBRVJ2+YUukZkJ+xQaitCUFhw9CimMokWx0TOi6lkQcE03bsDm79mDdee33+AQ+PNP\nRF4uXcKz0tMMe9kykNAqVUCY5DxvqakgNtWqOSbvZ2cjnNq6tW1YlOda2ad+dOpkm7BusSC3Slpd\n+/vvtq1pcnLgdZO2zKtd21Yns1UrW97Ttq2MB1JKrNq0gQeJo317Ww9Enz62Fz9vHnZQHFeuwDBL\nvTKdO9uK22VmwovCRUQZw0Nq0MCxA/qFCyA49iEpqcTAd9/J7zJu3xa1Prp0USfIaY/cXHhiTp2C\n0d+5Ey9iyxbssiIjMZkSE43Rw8rLw+L15pt4juPGaWtynJMDUsk9Tlrud+5cPGutLv/79zFZRozQ\nt1s0mTBwjVAw/+MPeD+1NFtVi/feE/tEeQtbt9q2W/BXRETIqkcXOGK1apVnFMeNRkSE8Y2SXWHn\nTlRreUL37+OP8eMu4uKwhvGkY61ISkKunZ61aPVqec0lV4iMxHN95x11TgApYmPF9m516iB/2JsS\nMK5gtcLu9u8PO/zWWyBqzkjZpk2IWvTv77hxSE1FrpS0pQ1jIP1vvYU0Gek6uWGDozD10qVwfEg/\n98YbtrnhmzfbanZmZiJSJ+U05cvbRuZefVVGgFpKrHr1QhiLY9w420TyFStsExm5+rR0sr3+uq2e\nEu8RJY17RkbCGyUN/yUlwTVor8V05Qp+//XXjgbm8mW4LVu0cJ73wtXXK1aEF2f6dN8mr9tDEEBm\nBg/GohAejmegVal8yxY8p/ff10bGzGZUXFSpon1iZ2aCEPfvr8/4CwI8hO3bu08eUlOxwBitsM4Y\ndiulS3vXSyAIeLb+7kHhFcAyYYkCR6xMJqxVWueBt3HkCMJBniA5SnjrLdsKLKOQno77kW629eLg\nQWxK9eYkxseD6OjxfB0/jnVizBhtEhAmE+xb0aKwt1q9d/n58PzxKvh69bAJPHHC+y1scnJAwgcN\nwnpctSocK0ryPnFxcOpUqiSfaxUbCw/WkCG29yMICAG//rot2UpKgldXGhY0meBVlKoLXLgAJ4SU\nNHXtapsHvnu3bRGfyQSpBen5qlaV8VZKidWoUbZJWCtXio0GGcPDCQ62NYINGti61rZuRQxT+pm+\nfR1VqgcORPKZFBcu4PjSMkjGsHhXrw7XqX0MNy8PO4zAQPzXWWIf76jdsyc+W78+ku7OnvW+RyAr\nC4vIp5/iZVeqhHi3nv5X589jwatYUZvgHWMY0A0aoAhB62S+fx8Drlcv/ZP3m2/gwnXVysEVBAFu\nX0/kP1ks8MjZh6Q9jb17scC7q+XlaUyZ4lQrrMARK8ZgEPy9xQ1jMCZai0vcxZUrWDs94RXZvx9G\nTkuukjMsXw6ipiV9QoqEBGw0P/tMu224cwch5SZN1DW1l+LmTRj2kBCkkujJ98vNBRkYMgR2pWhR\neDinTsXv3c1hlUIQ8L7++IOxsWNx34UKwTnw1VeuZToyMvC9okURrZK738hIkKQZMxzfxeTJCN9K\n010EAaFCe126yZMdtaZ69LCNQmRnIwwoTfcYMwb6WRxc5kkK2XErJVbTptkSoFOnwMakKFfOdjcw\nZ45tOJBrREjVZpOSMCGlVQLZ2XC72ic779kDcmWvO5WWBs9Us2byOkzXrsGtV7EiBNKUJkReHtzF\nffvifkqWBMmbPRvxayOb3FqtuO9165BfVrcukgSbNsXzvnBBH7GLjYW3JzgYXjitu9c//sCAnTxZ\nOzFKTkZCfv/++knVunXY0bjbN4wxxOsrV9bXj9AVFizwTOKuKzRp4r7Oj6dhtSoWRxRIYnXxIuaF\nr7R/1OLgQYS9vX2d48Z5ptUNYzCuzZsb42WZMAEpBno3be6scRYLDHZIiL68tDNnkMcTGorUG3c2\nnomJWGsHDcI6VqQIxnd4OOz22LFI6VmzBl6v/fuRY3XiBAqZDh5ErtWqVfDkjB6N1JoGDeCpDgxk\n7LXXQD62blXXZSQrC2HL4sVxDXLeLEHA+YoVky9u4M2u7cnrtGmoApTaw1u3QN6kUa2EBHj3pFxi\n3TqMPynq1bN19KxaZTv+rVYIhTvMQymxWrbMNrE8JweiodIvffSR2HyQMVG8UBomWbIE0gf2N9yy\npa2BOnnStkmz9AblSszz80FOypVznii4YwdYbMOG8OCoaQkTE4N7/+QTeNv++1/seFq2ROx/4kTk\ndG3YANZ/5AgG38mTIGJ794Ko/Pwz7nPYMIRMecucsmXhFZo4EZ91hwBcvYprCgjApNCaHG8yYZKV\nLi3vdnWF+Hj9uzmOw4cdWxDoBe9H6ImWJHfugLiqVUA2Cvv2YdFQq+7sK+zciVC8k3FQIIkVYzBA\n/h6CZQxeK6k+jzeQkwMy7Yn2OryPnxG5jIIAj0SLFvorPe/fR/5M27b61uzDh/GsunfX16z9779x\n7uBgEBcjNqGCgONERqLy7osv4GB47z2Mp4YNQShffhkEpV49PMMOHZBj/dVXsJV792pLOWEMpGvq\nVJCldu2c6zCmpuLv1avL6yEuWIBNhT0hi4zEse1Tfdq2xX1KMXy4Y5FTmza2uaLp6ajql3Kbzz+3\nzQVPSQH/cYCUWG3b5lja/cILti69lSsdXWrNmoly74xhIJcsaWs4zWZ4FaTJ8Ywhp6tqVUcv0cqV\nOIZc/6OVK2FMFyyQX9QtFriDX3wRHqLff9cunXDlCsJ1330HEtGjB0o8mzbFMcPCEMZ65RUsxG+8\nAVI6ZAgGz7p1EMHTWxUoBQ9jvvce7nvcOH3CekePghS9956+iX7mDAiZO4nm585hJ6c3wVSKnByQ\nVz39CNWgSxfbKldvQBBgXPzdW8UYEm6lOZl2KLDEav1627wKf8Xx41gjPeGpVcLu3UhhMNKzz5GQ\ngHsyQoIhPx9GtV07/ZuU3FysA3XraicSjOEZDRiA/Nn16/VtRi9fxjECAmCDtmzxf4+qFKdPQ5Lg\n2WdRzKa0Ud2/H2Nr4EB5aaJ58/B3e5FV3pLPPh1myxZwGOmx7t3Ds5QSs+RkePOk9nrzZkcP1ttv\n23Kdixdt2/v9AymxOnEChkqKd9+13b0lJeECpAN16VLENaWYPt02P4sx7MRLlbKt2uI7iw4dHAfd\nsmVwh8olIkZHg1W/845zkmGxQNwrLAw7h2nT1Ldz8QfcvYtqvWrVQBLnztVX8ZaVhRBv8eKoXtEz\nuXfswM7JnZ381at4n6tX6z+GFB995NgCyShs3w7PqLv5X1qxbRvIr7/nVl2/jjCAwvMpsMQqPx8b\niBMnND8Wr6NdO/0yJ+6ge3fbXmpGgvfXM6LIKDcXnpju3fWHGAUBm9myZdV3u7DHoUNwLLRura0/\noRQZGfBQ1q8Pz8yAAbCp/rhWxMcjh7l6ddj8iROVc97S0+E5K1FCXu5HEOApqlDBkVTxji32ns6s\nLHi2du+2/b1cr9fZs0GgpejXz9GJUK6crbMnMlJWasaWWPFyVSnGj7dN3mIMD0uacZ+ZCTYqTeDK\nzJTvM/Xhh7baEozhwbz8srwnZOVKDCK5dhO5uQi7hYTgc84MrCDAW9O1K4TQOOvUKtbpDaSlIVE6\nIgIEtnNn5KvprbrbuBELQteu+rxcgoA8upAQWy0Prbh5E4NSwcOhCT/+iIXKE7vmzExMSCN2zVpg\ntcILunGjd8+rB8OHu/TmFVhixRjIir3enj/i8mV4sd1tDaMVKSnwLOlJJ1CDmTONKWxhDMdo0gTk\nyh0SsmYNnvXy5fq+n5uLcRUYiEIxd6IZMTEgKzVrws726IENq5HJ6VpgtSJC9fXXiOIEBKCoJTJS\nmdAKAohUmTK4BznBVIsFhV61ajl6Da1WbC46dXI8T9++tv2OGcPzKVrUlpwJAqJm9kVz5cvbppik\npyM/WjqG1q51knMoJVa5uRC6lF7ghg0w8lKMHOnYz69XLyRCS/Htt459ppKTQd7277f9/a1bYLZy\nUv/bt2PwOAsfHTuGvKpWrVz3YUpPhyfstdfE9jJLl2qv4DAKggDX6KxZCMMWKoRdzbJl7ukxnTmD\ne5QbMGqRnQ0WX6OGe21cbtwAqZo5U/8xpDhwAONBTxWlGvTpgw2At/Hzz9h5+btuVUYGFicXsgQF\nmlilpcE4+Gpd0IJ+/TznPVLC779jXnticyMImIPt2hmTzJ6djZSVLl3cy108dw5ekz599G/MExJA\nIoKDYSPdlXG5dg2b37ffxma8WjXY4x9/hNfVEzIxKSnYeE6ZgvMGBCAkNmAAHAFqQpVnzuCdvPii\no1eJIy0NaTbNmslXrg8bhlQc+zy6XbvgdbZPph8yBPNFisOHES6UrrtXrmDjIP3dgQPQC5Nizhwn\n1ehSYsUYHpB093P1KtikFHv3ouJCiuPHMcmkkyA7GxdnXzX0228IzdlPyFOnsCOQesM4Dh9GKGvW\nLHnDYzaLWiCjRqmTD0hOhjFr1w7fq1BB1PL6+2/PtLe4cwdEZ+pU5KqFhOC59e4NL5q74pZXr8LL\nFRKCeLTeReTSJZDVrl3dy+G4dg0eM2m3cXcQG4tx4Ck18p075Sekp5GTg/PKjX1/w+zZjmF+Gegh\nVo/ge95B7dq1WVRUlNO/DxxI9L//EU2d6rVL0oXkZKLKlYkOHSKqVMm75/7oI6LHHydatMj4Y5vN\nRK+9RtS0KdHXX7t/PJOJqE0bosKFiVasIHrqKX3HSU8n6t2b6PJlotWriapU0XecixeJxo0jOnqU\naNgwHPOZZ/QdiyM/n+jsWRzz2DGiM2eIrlwhCg0leuEFonLliJ57jigkhCg4mKhoUYzx//6X6Ikn\niASByGolysnBfaanEyUlESUmEsXF4VhXrhDl5hK9/DJRrVpEdeoQvfoqUYkS6q7x+nWiiROJtm8n\nGj8e9/3EE46fi44mevttojfeIJoxA+NMirlzib77jujwYdwHx/37RNWrEy1eTNSihfj7W7dwzRcu\nEBUvLv7+ww/xDkeOFH83Zw6e45Il4u/mz8fvpGN9zBg8v7Fj7S7+kUeIpGtZlSpE69YRVauG/xcE\nomefJYqNFS8+Px8vJToaL4gIx6hVi+ibb2xv5ocfiDZsINq9G+eS3sx//oO/S7FjB/4WGUn04ou2\nf4uNJXrnHZznhx/kJ0ZiIm5y2zY8qE8/xaBxBUEgOn+eaP9+oqgoopMnMYBKlSKqWJGofHn8OzSU\nKCiIqEgRTNAnnyR67DHcW24uJm9WFha7lBRcz40b+Ll8GYO2alWi2rWJ6tUjqlsXA91dxMTg2W/e\nTDRoENHgwUSFCmk/DmNEy5bh2U2aRPTxx7bvTQsuXSJq2ZJo9Giivn31HUOKzEyi8HCi7t2Jhg51\n/3j2SE0lqlnTcUJ6A5MmEZ06hbniz7BYiCpUgEGpV0/xo4888sgJxlhtTcfXysTc+VHyWDEG73fR\nosYUoHga06djZ+9tb2d6OjbJ0qa2RuLuXYRkjEohMJmwkX7tNffa6Ei7f8yc6V6I8eRJbFSCg1G9\npld/yxny8rBR3roVm+3hwxEie/NNeGBeegkem7Jl8S4rVECUolEjRE969kRK0MKFcKokJOgbZ1eu\nwHERGIj7VNq8rluH5/Hjj/J/X7QIDh97r7kgwLFg75ViTJSXkIJX9dmH0ps3d0zJ6NHDsSfghx8y\ntnixzAXae6yaNnV0y4WH2+pSMYa44k8/2f5u4ULbLtCM4aVWrOjoYbh/37na7i+/ICwol+SXlYWJ\nUaeOctjv7FmE+UqW1N+w0mxGDsNvv+EYw4cjltuiBUI2lStjQJYrh3upVAkx74YN4Y36+GMMyKVL\nEWvWOyCdgau2t2+PCT5hgr5qP46kJIRuq1Vzv//U4cPwmtk30dQLsxmD/ZNPPGM8BAH3bp//5w1w\nnRVXYWx/wMqVcL2rABXkUCBHly6+SQ7XCrMZIRWtfeeMwNGjMIJK6truICYGXmojlNkZE3N2Xn7Z\nfRITEwP7GB4O4uAOLl/G+vbss7Az+/f7f1qAK1it4A6tW2OMjB2rbKNycvAMype37VMsxc8/owhK\njh/8+CPSX+yjLCdPYgzZR4S++cYxDys9HSk59pyhenXH6FvLlk6kR+yJVefOjsZw8GDHxPKffwZx\nkSIrCwbCvppj40YYa/uw1P79SEyXm5ALF4KsyFWGCAJCgmqq1E6cEEN9w4YVDOPlCllZILW82nHm\nTPdCiIKA5xgSgjCqu0n9vJmzEZIK/Po++AC5fp7Sdlq4ELs0T4R/XaF9e8ecRX+EIGB3q/K9PhDE\n6tw5LMjeljTQg127sMnzxbVOmQLRSE/JABw7hs2jOwU0UggCkr/LlnVfA89qxcY7MBCVae6uIWlp\nsG984/7VV+7luPoCiYnIuS5fHrZ/4ULX4/LYMdxz587OvYm//IIc7YsXHf8WFYUxYp97a7VibNp3\nKsjLg9fLnsCtXIluJlLk5CBx3d42Vq/uRI/RnlgNH+64Q1u+3DHzPSUFyd/2D2vIEMdqIUFAVYZU\nWJTj229RRSA3GOfOxULhjAxFRWHgde8uX00gxfXruLbAQJTfrlvnGyOqFxYL3LA9emBH07o1mLK7\niZ03buBYlStj5+kOeAVh8eLuH0t6zOHD4SH0lME4exYTUm6yehp//YXJXRAM95YtmppCPxDEijFs\nIKXN5/0ZHTo4VnF7A1YrjNGwYZ47x86d2LA582ToAa/006OQbo8bN7D5q1TJeTK2FggCyMann+K+\na9UCWfFFGzY1SEiAtmSTJkii79kTdsDVtZpMUHQPCcH7cPb5OXOQhyrXKiclBZXcUo0pjiVLoENm\nbytXrsS12qNtW8do3KFDjnnljGHsSFvg/AN7YjVzpmM4JDoazN4ezZs7Cn7GxsrnJVy4IH8RgoCF\nq08fmYtjeFGlSjkXFcvMRDw1NBSeElcwmcQHGhAAN+CWLd5tsKsWJhMWk08/xaCrUQNaXEb008rN\nxSQNDER/SHcbuprNCH1Wq2asV/DLL3FMd0KcSkhPR6habwm1O8jNxbl9Eb7RCkHABkhu4XKCB4ZY\nnTyJlAJ/lGexR0KC7zYJKSmwE56UC9m8GWuhu6kKUhw/DvsxYYIxFYibN8MhEBEhL3CtB/n5aPcm\nbcPWowciR9ev+4ZopacjxWfECHiyAwLgbdq0Sb093boVzpF27ZwQFIZ7++IL5H7JRbDy8pCeI0fq\n791DVMxek04QEAq25wxZWXAY2etdzpoFOyyFnIrCP7AnVnK6DFYrGKi9hsT33yMWbI9OneS7oI8Y\nYdtXkIMbN9kkMIb+PCEhyCdyhr17ERZr21a9sFxCArxijRpBur5lSzR7jIryTTuRvDzsUKZNQ2Jh\noULI15oyRb+onD0EAd66cuVQJmsECUpKQt5N69buVzVKMX06xoWzCecuBAFJo5984pnju8LEiXgH\nBQHbt0O4VIPheWCIFWMwknPmqP64TzF/PtYNI0iCVvCQnSeJ3erV8IobSa4SE5En9eabxohI5+Yi\nGhMUhA2nkflngoB8rnnzsH4VLw6iFREBcrhpE8JhRoVlBQHP5NAhdCLp3Ruk5Omn0fJn/Hjk1Gqx\nmTExWPvk8q+lMJtBIGvWlLcDgoDreeMN+fN//LF8IvvOnfLr2dq1iGjZo2NHx24Y16/DgyYLe2J1\n8CCUXe3x+uuOiqhJSY59AhkTd3j2obbMTFzInj2Ox798GczSmQv1jz8wSJV2zDk5MFY81q0lvJKW\nBu/bJ58gLFa4MDxyI0diIp87Z6xX6/59LELLlkGDJjwc5K56dQyE9etdhze1QBCQg1G3LgapXm0r\ne+zbh93e+PHGLuQzZoAoG9Efyxm+/RZ5ar7wRFy8iHFqhLq0pyEIKBbRqLqvh1j5ldyCFKdPE735\nJtHVq0RPP+3hC3MTgoDy9/btiQYM8P75ly0jmjwZ5f4BAZ45x9q1qH7etg1V4kYgP5/o889x7BUr\niBo1cv+YqalE06cTLVxI1LEj0ahRRGXKuH9cKRhDxfyJE/g5dw4V+3FxkEAoXRoV7VxeISAAFflP\nPQWZA6sV1b5mM1FGBiQWkpOJbt/Gz7VrOEeFCkQ1aqByOiwMz12rZEVCAtFXX6H6edgwVHc7O0ZK\nClHbtkSBgUTLl8tLUUybhnd18KBjFfz+/USdOkHWokgR27+9+ioq3rt2tf1927ZEERFEPXrY/v65\n54h27rSVMzl4ENXzhw/LXLy93EJsLE5686bt58aPxwuYNMn2982bQ9KgXTvb37/1FqQRPvnE9veb\nN+NiTp+G/oMU+/YRvf8+0d69kCSwx6lT4jHHjHEuAxAbSzRiBG543Diinj3ldTKUkJKCheHUKfyc\nP49nUqwYUdmyGLAlSmCgFi6Ml86lFx59FIPUbCbKzsbkSk3FII2Lw09ODl5SpUrQ1ggLw3+NXogY\nI9qzh2jCBEyWL74g6tAB1+gOrFbo+8ybh4X0jTeMuFpgyhToh+zZY/wixLFjBzR4jh3DwuNNWK1E\njRtj0vfv791z68GWLTA4p09rGjd65Bb8llgRgaiEhcE4+juio4kaNiT6+29oF3kbgwdDbuWPPxz1\nh4zCpk1EffrAptSvb9xx//iDqFcvGN5x47TbDjkkJ4NgLV5M1KoVSEWNGu4fVwlmM1F8POxNfDxs\nWloafnJz8ZOfj/fz2GMgOEWKgKAEB4s27vnnQW70yu4QwXZOmwaZlp49MYcCA51//tQpovfeAx+Y\nPFl+3Vm3Ds/xyBEQRykyM0EA58what3a9m8HD0KyJzradmxmZMAW3LwJiSmO27chP5WSYvsM1qwh\n+vVXovXrZW7Anljl5YEkmEx42Bzbt+PB7Nlj+/3Fi2Gk7PV3Dh0i+uADaEHZT6zOnUFQZs92vJ4V\nKzCYDx0iKlnS8e+JiSBX5cvj3EqCalFRIGBXr4Jo9egBpq4XFgtExuLiRDZ//z5eSEYG/m6xYMfI\ndwRPPy3uEkJC8OJKl8a/3SU3rq5140a8s6wsPIfOnW3fqV7cuoWByRjel/2g1gvGQOA3bCD66y/5\n928EoqNBbDZuhPHxNubOxWTct8+zY8AICAJ2phMmQFxRAwq8jpU9ePsYIz3JnsS0aQjR+yIkmJ+P\n1Io+fTyb/7NtG96JURXIHImJuP7atY0NOaalIbe1ZEmE0daudT+/1Z9x8iS0nooWRfTHlbyFVB9M\nqafsH38gwuWsorNXL8d+gBzNmjlWCDKGUJ+9XBRjiB7Z90JmDBGPoUOdXKB9KJAxxGwTEmx/l5qK\nUJV93DY1FWEzORG9Jk0cs+sZQ0JZaKijNhbHlCmIfzrrf5WTg4qDF1+Ub9Bsj0OH0O6mRAlUPHq7\nr5Y3cfs2FOhLl0aexebNxi2sgoD3GRyMxcHI5p8WCxIzX35ZXxd5tUhORgnwkiWeO4cSLl3CouGu\n5o23sHIlwoA6jCM9SDlWHL17I1e0IMBiQf7ojBm+OX96OpKa5fJtjcShQzCy9jkw7kIQYICDglBE\nYyQBystDrmuTJsgfHjrUfdkHf0Fmptieq3RpFEepKT5KS0Onj6pVlduV7d0LG+Qs55q3WpKTbPjr\nL6z/cvlnzZrJpxoNGiSvZde/P2Q2ZCFHrF55Rf6iX3rJUSCLMYhhyhmqgwdRSi4na7Bjh3LrkM8+\nQ3mpkurxTz9h0C9erG7hP3UK0gxFiqAacP9+3+zmjIbZjITFd99FztvHHzvR1nADsbGovHj5ZeMX\ngJwcFB00bepZleucHOQPjh7tuXMoIT8fc2vBAt+cXyvMZixQe/fq+voDSawSErD79pQYptG4dg1r\npJFeFy3gPWCVvA9G4OJFVCROnGi8hywuDlISVas69rg1ApcvQyKjTBlUQE+c6JuqTneQl4eE8A8+\ngH1t1QqberUJ7X/9BT7Qp49y4+3Dh0GqnOUIJybCMbRvn+PfBAE5xitWOP6NqxnI5duGhcnrp73z\njqMqwj+QI1Zt28JFaY9PP5VvpLtxI3ZGcmjVyjmr69sX2fZyE0EQ0NCxQQPl1gNnzyIZu3Vr9dVj\nKSlw41WpAu2LL74ouAO5Vy8snI0bw4VqNDHJy8OOk8syGC0AmJwMz1qHDp7VFbNYMK47dvQdmZ4w\nAUUg/qhBI4fZs1ElpRMPJLFiDIUanTvr+qpPsGwZSIGvJGXOnIEx3LXLs+dJTMTGpVMn4+9VEODN\nKFUKm3Kj284whnVp/34UM5UsCT2swYOxzvujHNC9e/C6desGUlK3LmQJtEQc0tNh50uWhLNFCX/9\nhXHkrIowPx8ewC++kP/7hg3gCnLr/4QJ8tWDGRmofpSzTTVrQkFAFnLEasgQefftqlXwTtnDbIYr\nNjra8W9nzuBvcuQoJwdVcD/8IH9tVisYbJ06yq5Es5mxMWPAVFetUm+4BAH6FgMHIjRZuTKOs3+/\n5xSE3UFiItzd7duLA3n6dMd+SUYhMhILcosW8u/WXZw7h8q/0aM9S3Z4SW6zZr4ThT14EC5/+xC7\nv+LePSxiakLtTvDAEqvMTBgCo0RwPQ1BwIZCznB4C/v3YwPo6WeWkwNiVbs2Y/Hxxh8/IwOh4MBA\npFx4ivBYrTDaX30F58L//ocN6GefQffO2+uIIOB5rlsHflC7NuSA3noLkkVxcdqPt3Yt5lHPnq4l\nLng3j8hI558ZOxZrvFyKSl4edLB27nT8m9UKb+epU45/277deQuvgAD0spSFHLGaPRvxQ3vEx8Og\nyxnB4cPRDkUO3bo5VwOOjsaEcxa6EgQIf1Wv7tojdfQoRDSbNdNOBKxWfH/0aIQgCxeGt23SJIRC\n9PQadAcWC4jHTz/BK1WhAl5ku3YIfXpi0eCIiYF3p0wZ7FV1QPwAACAASURBVNI84WH57Te8d28I\nc44ZA3eukRpbWpCWholbEIRAOQYNci7aqxIPLLFiDPOyXr2Ck0qQlgbvvKeaJasBTzg2Ok3BHoKA\nHNASJXSHsV3i6lWsxaVKoV2LpzfimZmQIho3Dkn1gYG4vxYtQHQWLULO8rVr7uWC5eUhzB0ZiWMO\nH47zFSuG9bp1azzbffv0n+fsWUgZVauGDacrLF+O8yuR8h07QNKccYQ5c+T1qfh3nS0FI0bAm2WP\njAyQXae2UY5YbdoknwXPGAy8HLO7dAk7crmHffOmcl7C6tVIKHOWbyVVXr16Vf4zHPn5CFcGBqIK\nQW8H8+RkkIqhQ7GA/ve/cM126IAY+Jo18HYlJ+snHoKA6ztzBvHoGTNQyVC3LgoFKlRAyGHuXHzG\n04t4QgJ2tYGBmDye2I1ZLHiXoaHe2fFPmoQiB6c7Cw9DELAA+9JboBUXL2IRdbOIQA+x8mu5BSkE\nASX+ffuiQrYg4O+/Uep/+DDRCy/45ho2bsQz272b6KWXPHuuXbuIunUjGjIEVeGeqMA9ehRV7Neu\noaK5Sxdj5BlcgTHIApw/T3ThAtHly0Q3bkBqKCEBkgkhIahIL1QIP08+iQr9Rx+FzILZjOr/9HRU\ntycnQxYoOBgSHRUq4OellyAFFBrqnuRCQgLRxImQxxg/HrJJSlIcjEHz6qefIIEhJ8FERBQTQxQe\njkrrxo0d/56cTFSlClFkpPwx2rSBJEOvXo5/CwuDZEN4uO3vz52DLtmFC04u3l5ugQh6NR98gC/b\n49NPMSmHDXP8W9OmmDTvv+/4twkToGuydq38dQwYgMG5ZYtzSYDvvsOD3rjRtW5JYiLR2LGQifji\nC2gWPfmk8neUkJ+PwXvqFO4jJgY/XJOqeHEM4mefhRbIU0+JulYWC7SLTCbIMmRm4mXfuYNBXrYs\nBvLzz+PFV60K3QyploYnkZRE9O23RD//DEmKUaMwuYxGcjIkHywW6JkUL278OaSYMQPCfPv2QY/F\nF5gzh+iXXyAf4o7Uh7fAGFHLlhDDHDLErUM9cHIL9jh2DF4DTxZcGI3585Eb4sucHa6c7qxNmZG4\ndQsFK61aeXZztW8fim/KlMFGWCkB29OwWrHhP3cOSdfbtsERsHw58u2WLMG/166FF33/fniREhKM\nrfTmSEhABCwgANEnNXIlubmQaahdWzmfLS0NDg85+QSOXr2QqyaHuDhcl1xE6t49hDvlnEW//ebY\nqNkGch6rtDQkbMl5YjZscJ7QumYNBpcccnIQDpFTXWcMLshmzZw/AI6tW7GbXrdO+XMcJ07ABVi2\nLB6+J1y2OTlwwUZFwR37669YPPgg/vlnVCL8+isSOI8cgefN2+FFe1y9inBPQAAGvhE9CJ0hMhJV\nH2PGeKdd0KxZyN/SGvs3EkeOIC+gIHWm37gRRR0GzBN6kEOBHD17IkezoEAQkIP0wQe+LaLg5MrT\nYUHGYBhHjkSoSKl9ihE4ehTV2UFBOGdB6KzgKVy5gk4mAQGI/KgtLouPR9SmbVtlgpqXh5CifW9j\nKY4exebHWTRs/HgU0clh3Trn5Gn2bBdRCDlixRgehpzeE2dxcknAZjPCgc40KPii7Sw2m5qK3kFK\n7JMxTMayZZEPpZZhHz6Ml1C2LB6Kr0mNryAIIH/vvIOQ35gxntWNMpvxnkqUMF7EzxmmTEFo2Zcl\n8bdvI/+iIOVVZWZix21Qu6N/BbFKScGa57Q6yA+RnY1cVKcaPF7Cxo3InVHqAWsk9uzB5q5fP897\nlK5eRe5T0aLo4bd5s38WRBkNqxU5S23aYFM5bpw2+7J/Pwjw5MnKxF8QsKl5803nG3WLBfnSzvJ4\nTSbM3QsX5P/eq5fz/qADB8orJPwDZ8QqLAyubjnUqePc8zR2rHMGKAholigntsVx5Qomm6vSy7t3\n4R1r2VKd+BjH0aNoMh0UhMS0giLU6C7u3EEOV5Uq+PnhB88vLufOYWC3auVZ8sYhCJjIlSv7tvrO\nbEYFj7OyX3/FiBEQ6DMI/wpixRgqdcPCfNO4XS+uX4dRcSbS7C1s2wYDLFet5QmkpqKYqnx5zyW2\nS5GZiUKH8HA87yFDoAVZUCRX1OL6deQeP/cc5sLChdrsi8UCEdaQEHVexdGjIa2hVJA0bRo4grNn\nvWQJ+IMcBAEk3JmTqHVr5KI7hTNi9f77kC6Qw9ixzisAb9+Gt8tZ+eTVq/CUxMQ4v6aDB0F8XO1k\n8vMRsy1dWrkM09l1jBgBEte0KVitL+PinkBODtyZbdqIoqh793p+UuflIWk8KAgTzBuLiNUKPZSa\nNb1D4pxBEOD+jogoOBVjjIlaQ2rd9SrwryFWgoA1RHEH64fYuxfrn5LKtTdw4ACuQ0640VPYsgUe\nZTWl/kbh8mWEnl54AT8jRsDWeSKvyRuIj4fYcaNGWOv79dPnuY2LQ3uf115TtyGeMQMFSUodVC5d\nAs9wloZhtWID7mxjcf48SKIz2/Xiiy5yBJ0Rq88+g4aGHA4dgvyBM/To4fy7jCH/pVEjZcPDS3PV\n6Ohs345Q0/jx2neNublI4nvrLaiWd+uG8I0/CrKpQXo67qdzZ9xP8+Zg5nqrI7XiyBGEGVq08F5+\nQW4utL0aN3YeS/cWZs1CGbG3nrcRsFiw+3MVgteIfw2xYgye78BA7NwLEpYsgffGW+TCGc6fxwb5\nm2+8581JT0dIJyQEXiVvbYQEAQRk7Fh0MwkOxnq9dKlvc0JdIS8PJHj8eEStihZFrt7mzfqkF6Qt\ngyZNUkcwf/wR6Qq3bjn/jMWCgoX5851/ZssWdBFxNtamTXMeebNYGHvqKYTUncIZsVqyBCTD2YGL\nFnWupXThAgarnDw8/37Dhs7jlxwrVmBXoSZcd/s2jHmtWvpbriQl4ZqaNIGOVZs2jH33Hbxr/uq6\ntVgwSadMwa65UCGEW7//3jPqwM5w7x5EOEuUQH85bz2vtDTcd7t2zsebt7BlC+6/oCWszpqFMW/w\nO/tXESvGkOLQvLn/rhXOMHIkQlW+nj9xcdiw9+7t3XykEydAFOrW9V6+lxSxsSAM778PklG2LELy\nCxYgHcdX7yU1FfmWEyeiAKxwYdjXkSPh6XHnHd24gbmipcn1woUg3674wIwZrpuPN2rkPCLHGNbD\nLVvk/xYbC7kgRTgjVvv2gfU5Q6dOyjvc1q2dK6ozBgFPVyFBxjDgSpVSJ/gpCCCEwcHIb3FHZTs5\nGeHBbt2QTFe6NHYV338PHS9fdSS/exceuq++Qny4cGG4NAcMwEDwtghmfj4WgGLF4Ar2psfo2jXk\niw0a5Ht3+okTyo1B/RXXrmEeeiDX8F9HrHgvyO+/N/SwHofVCn2+du18P48yMpCT2ayZttxZd2G1\nono7NBS2zVeVvIKAMNaPPyJMWaMGNBSrVoVXfsIE2KWDB+HYcDevLy8PJGffPnjMRo1CYVO5ctBS\nbNgQIqG//WaMV9Nkgu0KDIQzQO31L1wIT5UrHcuzZ0FOlT536BDuz9m579/HvTvzSO3a5Vz94B84\nI1a3b+MCnWH5crwAZzhwAOXuSg9u5kyQN1fMd/Fi9eSKMQy4t992LmGvFYKAcy9ejCbOVapgsNeq\nBVfopEmQoYiKAvFxd8eanY3z7diBRXrIEJCoUqWQK9W0KQb7pk3KcWZPQhAgfVGlCmLjZ8549/z7\n96Nc2x8aGl+/DvK9caOvr0QbrFbs7KZP98jh9RCrAiMQ6gyXLkGk8PhxaNMVFJjNRG+8Af28uXPd\nE4J0F1YrtPQ2b8ZPtWreO3dWFvTv5s0j6tABWoi+0sDjMJmIoqOJLl7Ez7VrEAO9eZMoJQX6icWK\nQT+xSBGiZ56BhuKTT+I9Wq2ijmJWFn5SUvCTng49wTJlMF4rVcJP9erQq3SmKakVjBFt2oT3Wq0a\n0axZRM89p+67M2dCD3DPHqLy5Z1/LieH6JVXiEaOVBbtfestoogIaHLKYfVqopUribZulf/7ggXQ\n+PzhB4WLlhMIJcLvihTBywsIcPx7aipexO3bRP/7n/yxGzcm6t2bqGtX+b8LAm4yLIxo0iSFiySo\nr44bBwXWmjWVP8uxdSvRwIH4/DffQEXWKGRnE509i4U0Oho/t27heWVnEwUF4adoUaKnn8Zgf+op\nCIJy0dC8PCxoGRkY4KmpEA3NzycqWRLPlyvgVq1KVLkyBqMnFIS14MABos8+g1rv5MkYpN5aiBmD\n6OcXXxAtX07UooV3zusMKSlEDRtinPXr59tr0Yq5cyHYu3+/cQuoBHoEQgs8sSIimj6d6Pffifbu\n9chz9Rju38ea3b49CIWvsXw50dChMGTt23v33CkpRFOmEC1dCrHskSOhPO5vsFohvHz3LmxIejqI\nE7ctRBiDjz4KO81tUVAQRKCLFlVWPzcCx49DUDwjA0LULVuq+x5jIGJbtxLt3ElUurTy53v3Brla\nvty5PTpyBIrpV67AHsuhfXtcY8+e8n8fOBB2eOhQhYtxRqyIiGrXxqCuW1f+782aEfXvT/Tuu/J/\n37sXN3vpkvOXd+cO5PKXL8fxlLBhA5Td168nevVV5c9ymExEs2eD9XbuDHIWFKTuu3phMmFiJicT\npaWBaGVlYaALAibD449jR/HUU0SFC4PEBgRg91C4sG93jHJgDArmEyeibcKXX+J5etNw5OZivB05\nQvTbb75ry8GRmYkx27w5CGZBwqVLRI0aob1JxYoeOcUDr7zuDBYLcjSmTPHI4T2KxERUrLnKf/UW\nTp5E2KZ/f980UE9MhLhlQAByvy5f9v41FFQcP46UoNBQpOhoCTPn5aEIrm5ddSHINWswbl2lwjRr\nhjCrM+TkICqkpNLfogWK6xThLBTIGHKKfv7Z+d/nz0coTAlNmuChKmH3buUGilL8+SdyWX791fVn\npbh7FzlARYui4tFXIbSCBqsV8fXwcAzcpUt9I3QXEwMphfbt/UPcNScHJcJ9+hS8ZGWzGWFspRxI\nA0D/thwrKW7exDpVkIRDOWJjkVP600++vhIgLQ1q5rVr+y736c4dVMMFB4Ms7N5d8Oa9N8AFqHnq\nyvz52pPvU1LAG1q3VrfWnz+PtKUTJ5Q/FxmJClgl+7V5s+v8KTW5XorE6ssvIcTlDAkJYPJKidwH\nDqDKwVWy99ixMFRqjHZUFFiwK3VWOcTGim1chgzxrTq3PyMjA/lLFSpgQVu92ncCiGvXYuLMn+8f\ni5nZDHmOzp0LllYVx+jRWLQ8/Cz/1cSKMcyZihX9YyOgFZcvY7OrtLH2JgQBSvFBQWgV5qt1ICcH\nidTVqqFH3ezZ3k2y91eYTKjir1ULxVSLF+vzMEZHw+YMH67Ow5WaCrLkapwKAhLxXX2ua1dlmYbM\nTORXu7w2JWLFxSWV0KCB61YlLVu6TjK2WCBPP2CA8uc44uPxErt311ehd+sWxEWLFmWsSxeUtfqD\n0fY1zp6FZy8gAL2a9u3z3XPJyEAjzhde8J+dv9mMOdGmTcFsUfHXX5CEMFAI1Bn+9cSKMYQzunf3\n+Gk8gosX/YtcMYYimWrVIE3gS0IjCCig6dQJoaP330cxT0FcE9zBxYsgQcHBkGT4/Xf9m81Nm3Ac\npVCdFBYLuIWr/sKMoWK+ShVlQmQyQftRSaYoKkpZw/MfKBGr8+fBypUwaxaMnxKiorCYu9q5paWB\nrap1QWdlwfjXravf85SWBlG6cuUgGPbDD74XmfQ27t5lbN48tCIoVQptYXwtVHfoEKpKe/Xynx0/\nJ1Vvv+07uQ13cPcuPL27dnnldA+JFcMaVakSY7/84vFTeQScXC1d6usrEWEyIdpQsqR/9OJMS0P1\ndv368Kh9/DFChQ8qybp9Gzl4tWrBro8Y4Vo2SQn5+SBnZcs6b6Mnh2HDUJHuKpKSl4c5uHWr8uc2\nb0bUTAm//AJpEpdQIlZmM2P/+Y+ySy8uznU4kDGETcaOdX09Fy+CtR465PqzjGHn8O23ECR11V9Q\nCbx5ZNu20IZq1w6T1hcJk95AcjIILNfC6tQJ0hS+1rHJycFEDQlx0YvJy8jNhbxIQSVVVis8wkqh\nfYPxkFj9P7i2jpouEv6IS5fEfBl/As+Z6dxZOdnYm7hxAxv1V16BXezSBSHhgp7TGxODsGejRvDq\ndO2KDZq79uLGDeTvtmihTSdr/nyQJTVey9mzcXxXkZdOnVxr0I0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C0EjX3mvX0OKreHE0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L+4cIHNXpcto1cqMZF/6wcf5A7f7iMiPIwIKxuTlJT5Xv/jD+DYMW4cmjXjUbu2CK3skpTE\nyMPy5TxiYpgr1KYN1+1ADvPdjOnTgY8/ZgjbNgU+dhBWAGPOHTqwcWJIiGlrrIfDAfz5J71YS5YA\n+/YBTZuyb1arVtwBBUiTSY9x4QILCFat4rFnDwV+69YcGC6JvzdFhJUfcfJk5vzTNWuAuDhWtzZq\nxHuiXj3gjjtMW2ktEhJY9btuHf9m27dTkLZsyXX53ntl83srEhIYCp03j+8322AXYQXQDRgfzwoJ\n4ebEx3MRXL6cu84LF7jjbNKE3qw6deSmvhqtOUZp82aG9dat49f33MMdevPmvLHz5jVtqW0QYeXH\nJCRw07FhA++ZyEigWDGGDOvWpYCoWZMh8UDYfJw/z/yfqCgeW7ZQjN5zD9fbZs0oQIODTVtqL/r0\nYcHPyJGmLckmdhJWly5RvY4ZQ4+BkHWOHWOO2po1TJI8cIALX0QEF8LwcA7rtI2r1Q3S0/n7//UX\n3ctRUfwYHEzx1KAB0LixiE83EWEVQGRkMLTlFBY7dvDIkYPe8mrV2G+pcmX26wsLs6cH/cIF5lbu\n2cNj926uI07PSt26XFMjIvg7S5Wl6yxfzjFNu3YBBQqYtiab2ElYAUz069+fc9VE/bvOpUvcZUZF\n8ePWrcDRo1z4atTIXAyrVOHYHTsKjJQUCqiYGPZCcy6G+/ZxdEzNmhRPTmEZoNV73kKEVYCjNXDi\nBMWH897bv5/3Y0ICUKYMC27KlKHQuvNOVnyVLMmjYEHfervS04EzZ+hp+vtvbkaPHmVSf2wscPAg\n86QqVuS66Fwja9bk72FHoWhVEhOZajFyJGel2g67CSuAHWdLlgS+/NK0Jf5FUhIXwauPmBjmU4SG\ncvEoW5ZHWBi/V6oU3f2FCplZBE+c4HHsGO2Mi+MieOgQw6HlynGHXKlS5kJYrZokmvsAEVbCDUlK\nomA5eJDixXk47+cTJ7gxCgnhUbgw15iCBXnv5s/P/oa5c7M1Qa5c9A45PURaM+80LY1Haiqb9SYl\ncVN58SK9T+fOUeQlJPDrIkW4noWGZh7lynHNK1+ez51ACG2a5qWXODlg8mTTlriIHYXVmTPcJcye\nzfi14F1SUylWnDu3w4czd3R//w2cOpW5CBYpwiRW5yJ4++1cAPPlY35Srlw8cubke8+5SKWnM5xw\n+TKPlBTuWi5dAv75hzkM589zITxzhovgHXdk7m5DQyn2wsK4AJYvD5QuLa54g4iwEtwiJYWCJz6e\n971zDUhM5JqQnJy5VqSnZ64hANeVoKDM9SZ37sw1KDiYa1OBAhRszjUrJETWCyuwejWdJzt32rgg\nwo7CCmBTuzffZKVFvnymrRGSk7kAOnd/Fy9mHklJPJKTKdLS0rgIap353suZk4ta7tyZh3NnWqAA\nhVqhQlwIixblR1kELY0IK0EQssWlS3SafP21TUOATuwqrACq2mLFAnPcjSBYHFeElWSpCEIA8+qr\nrMC2taiyO998w3lKq1aZtkQQBA8gLScFIUD57Tc2Xt6xw7QlAc4ddwA//shu7Dt2MFQkCIJtEY+V\nIAQgp04BzzzDZHWZUWkBnENDX3jBtCWCILiJCCtBCDC0Bvr2Zc+qJk1MWyP8P198AWzbBkyZYtoS\nQRDcQEKBghBgfP89e4fNmWPaEuFf5MtHUdWmDWdXlS1r2iJBEFxAPFaCEEDs2AG8/z4wdao9m1D7\nPeHhbL/w2GMs5xcEwXaIsBKEAOHSJaB7d1b1V6pk2hrhhrz8Mpu9vfOOaUsEQXABEVaCEABoDTz/\nPGey9uhh2hrhpgQFARMmANOnAwsXmrZGEIRsIjlWghAAjB/P+bRbtpi2RMgSISHMt3r4Yb5oYWGm\nLRIEIYuIx0oQ/JytW4E33gBmzZKpKbaiSRPglVeAbt04S0oQBFsgwkoQ/JiEBOChh1gJWLWqaWuE\nbPPaaxzC+/LLpi0RBCGLiLASBD/F4QCeeILCqls309YILqEU862WLwcmTjRtjSAIWUByrATBT3nv\nPSA5GfjsM9OWCG5x++1sOta8OVC9OhCRrXmwgiD4GPFYCYIfMmMGc59/+QXIKdsn+1O9OjB6NNC1\nK7u7CoJgWURYCYKfsX07MGAAMHcuULSoaWsEj9G1K+cQPfQQkJpq2hpBEG6ACCtB8CNOnQK6dAG+\n+QaoU8e0NYLHGTIEKFYM6N+fzckEQbAcIqwEwU9ITgY6dwZ69gQeecS0NYJXCAoCJk1ib6svvzRt\njSAI10GyLwTBD3A4GCUqWxb48EPT1ghepUAB4LffgHvvBe66i2paEATLIMJKEPyADz4AjhwBVqxg\nhb7g54SFAfPmAe3a8fO6dU1bJAjCFSQUKAg2Z+xYVgDOnQvkyWPaGsFnREQAY8YAHTsCsbGmrREE\n4QrisRIEG7NwIftVrV4NFC9u2hrB53TpAhw/DrRtC6xfzxmDgiAYRTxWgmBTtmwBevdmRKhSJdPW\nCMbo358Cq2NHICnJtDWCEPCIsBIEG7J3L5+jY8cC9eubtkYwziefABUqAN27A2lppq0RhIBGhJUg\n2IyjR4H77+eomo4dTVsjWIKgIGDcOH7epw/LRAVBMIIIK0GwEWfOUFS9/DLQq5dpawRLkSsXMHMm\ny0MHDZIGooJgCBFWgmATzp2jqHr4YQorQfgf8uVjj6t164B33jFtjSAEJFIVKAg24OJFFn61aAF8\n9JFpawRLU6gQsHQp0Lw5EBwsAksQfIwIK0GwOImJQIcOQHg4MGyYNAAVskBICLBsGdCsGZubDR5s\n2iJBCBhEWAmChUlMBNq35+SSb78VUSVkgxIlKK7uu49vnFdeMW2RIAQEIqwEwaIkJgIPPMAq+rFj\nWfglCNkiLAxYuZLiChBxJQg+QISVIFiQf/5h+E9EleA2V4srhwN49VXTFgmCXyPCShAsxvnznK17\n993ADz+IqBI8gFNctWoFJCcD774rcWVB8BKyZAuChYiPZ+Vf/frA6NEiqgQPEhbGoZIzZrBSUPpc\nCYJXkGVbECzC33+ziKttW2D4cHEoCF6gRAlg1SpgyRJg4EDp0C4IXkCElSBYgP37gcaNgSef5Ng3\nEVWC1wgJAVasAP76C+jZU2YLCoKHEWElCIbZvp2eqnfeAd54w7Q1QkBQsCCweDE7z3buDCQlmbZI\nEPwGEVaCYJBlyzimZtQooF8/09YIAUXevMCcOfRgtWjBQZSCILiNCCtBMMSUKUCPHsDs2UC3bqat\nEQKSXLmACROAli2BRo2A2FjTFgmC7ZF2C4LgY7QGPvuMrRRWrACqVzdtkRDQKAV8/DFQqhQT/ebO\nBerVM22VINgWEVaC4ENSU4HnnmNe1YYNQOnSpi0ShCv078+WDO3bU/U/9JBpiwTBloiwEgQfce4c\nQ37BwcDatfwoCJaiY0e2YujYkWHBwYOlRFUQsonkWAmCD4iOZtPPmjUZaRFRJViW8HBg40YmAfbu\nDaSkmLZIEGyFCCtB8DKLF7OdwltvsfFnjhymLRKEWxAWBqxbxzYM990HnDxp2iJBsA0irATBS2gN\nfP450KcPq9r79DFtkSBkg+Bgjr9p04bJ7Js3m7ZIEGyB5FgJghe4dIlRlLg4YMsWIDTUtEWC4AJB\nQcAHHwB16gAPPsjqwaefNm2VIFga8VgJgofZuxdo0AAoVAhYs0ZEleAHdOrEiovhw4FnnpG8K0G4\nCSKsBMGDTJsGNGkCDBoE/PgjkDu3aYsEwUNUrsxw4IULQMOGwMGDpi0SBEsiwkoQPEBKCvDCC8CQ\nIcAff3A8jVSpC35HgQLA9OnAU08B997LsQGCIPwLEVaC4CYxMQz9xccDkZFA7dqmLRIEL6IUMGAA\nsGAB8Npr/FxCg4Lw/4iwEgQX0RqYOJEj1p5/ngVUBQuatkoQfES9esDWrcCpU/ReRUebtkgQLIEI\nK0FwgfPngcceA774Ali+HHj2WQn9CQFIoULAzJncWTRtCowezR2HIAQwIqwEIZusXs1wX7FibKVQ\ns6ZpiwTBIEqxUnDdOgqrLl2A06dNWyUIxhBhJQhZJDmZ1X6PPw58+y0wahSQN69pqwTBIlSuzFE4\nVasCtWqxK64gBCAirAQhC2zezBFqJ08Cf/0FtG9v2iJBsCC5cwOffspqwTfeAJ58Ejh71rRVguBT\nRFgJwk1ITmbhU6dOwIcfstK8SBHTVgmCxWnYENi+nTlYd98NzJ9v2iJB8BkirAThBjhzqY4eBXbu\nBLp3N22RINiI4GDGy6dNA159ldUeknslBAAirAThGs6fZ5Vfjx4cojxjBlC0qGmrBMGmNG0K7NgB\n3HknvVcTJ0rloODXiLAShCtozc119er8evduoHNnszYJgl+QLx93KYsWASNHAi1bcqimIPghIqwE\nAeye3ro11/5Zs1g1Ls0+BcHDhIcDf/7JHUvjxsC77wJJSaatEgSPIsJKCGguXQLeeou5tg88wJE0\n995r2ipB8GNy5gQGDmR57f79QLVqwNy5Eh4U/AYRVkJA4nAAU6aw5c6xY0xOf+UVrvmCIPiAUqWY\nwDhuHD1XbdoAu3aZtkoQ3EaElRBw/Pkn5/uNGMGcqsmTgZIlTVslCAFKixZszdChAz8fMABISDBt\nlSC4jAgrIWCIjWXX9M6dgeeeY9PPxo1NWyUIAnLlYngwOpohwSpVgGHDgJQU05YJQrZxS1gppdoq\npfYppQ4opd70lFGC4Eni4xnmi4jgeh0TA/TqBQTJtkIQrEWRIpwXtWYNZw9WqQJMmgRkZJi2TBCy\njMuPFqVUDgDfAmgHoBqAx5RS1TxlmCC4y6VLwNChXJtTUtg+YcgQIH9+05YJgnBTqlYF5s1jnH70\naHbq/e03SXAXb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Nl = 30 # the number of contour levels to be plotted.\n", "clevel = np.zeros(Nl)\n", "for n in range(0,Nl):\n", " clevel[n]=0.05*n; # select the values of phi for which\n", " # equipotential lines will be plotted\n", "fig = plt.figure(figsize=(10,10))\n", "ax = fig.add_subplot(1,1,1)\n", "ax.contour(X,Y,phi,levels=clevel, colors='b', linewidths=1)\n", "ax.contour(X,Y,-phi,levels=clevel, colors='r', linewidths=1)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }