{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Toy example for Data Assimilation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The aim of data assimilation is to reduce the uncertainties in models with the help of observations.\n", "In this notebook the Kalman Filter and the 4D-Var methods are compared. First with a linear model and then with the classical [Lorenz 1969 model](https://doi.org/10.1175/1520-0469%281963%29020%3C0130:DNF%3E2.0.CO;2)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "using DataAssim\n", "using LinearAlgebra\n", "using PyPlot\n", "using Random\n", "using Test" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# State vector" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\newcommand{\\e}[1]{{\\bf \\color{red}{#1}}}$\n", "$\\newcommand{\\tindex}{k}$\n", "$\\renewcommand{\\vec}[1] {{\\mathbf #1}}$\n", "$\\renewcommand{\\mat}[1] {{\\mathbf #1}}$\n", "\n", "The state vector $\\vec x_\\tindex$ containing all _prognostic_ variables at time $t_\\tindex$ (time of the $\\tindex$-th time step)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Model\n", "A model `ℳ` need to define the following operations:\n", "\n", "* a foreward step: `ℳ(t,x,η)`\n", "* tangent linear model: `tgl(ℳ,t,x,dx)`\n", "* adjoint model: `adj(ℳ,t,x,dx2)`\n", "\n", "η is random noise for a stochastic model or zero for a detministic model." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "check (generic function with 3 methods)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function check(ℳ::AbstractModel,n,t = 0,ϵ = 1e-5)\n", " dx = randn(n)\n", " x = randn(n)\n", " dx2 = randn(n)\n", "\n", " @test (ℳ(t,x + ϵ*dx) - ℳ(t,x - ϵ*dx)) / (2*ϵ) ≈ tgl(ℳ,t,x,dx) atol=10*ϵ^2\n", " @test dx2 ⋅ tgl(ℳ,t,x,dx) ≈ adj(ℳ,t,x,dx2) ⋅ dx atol=1e-7\n", "\n", " dX = randn(n,3)\n", " MdX = tgl(ℳ,t,x,dX)\n", " @test tgl(ℳ,t,x,dX[:,1]) ≈ MdX[:,1]\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Simple model can be defined using matrix `ModelMatrix(M)`\n", "\n", "$$\n", "\\vec x_{\\tindex+1} = \\mat M \\; \\vec x_\\tindex \n", "$$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\u001b[32m\u001b[1mTest Passed\u001b[22m\u001b[39m" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ℳ = ModelMatrix(2*I)\n", "\n", "x = randn(4)\n", "@test ℳ(0,x) ≈ 2*x\n", "@test tgl(ℳ,0,0,x) ≈ 2*x\n", "@test adj(ℳ,0,0,x) ≈ 2*x\n", "check(ℳ,4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or using a operator $\\cal M$, potentially non-linear:\n", "\n", "\n", "$$\n", "\\vec x_{\\tindex+1} = \\cal M(t_\\tindex, \\vec x_\\tindex)\n", "$$\n", "\n", "In this case, the tagent linear and adjoint model have to be provided too (or derived from automatic differential tools)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "search: \u001b[0m\u001b[1mM\u001b[22m\u001b[0m\u001b[1mo\u001b[22m\u001b[0m\u001b[1md\u001b[22m\u001b[0m\u001b[1me\u001b[22m\u001b[0m\u001b[1ml\u001b[22m\u001b[0m\u001b[1mF\u001b[22m\u001b[0m\u001b[1mu\u001b[22m\u001b[0m\u001b[1mn\u001b[22m\n", "\n" ] }, { "data": { "text/latex": [ "\\begin{verbatim}\n", "ℳ = ModelFun(nonlinear_forecast,tangent_linear_model,adjoint_model)\n", "\\end{verbatim}\n", "Model defined by the functions \\texttt{nonlinear\\_forecast},\\texttt{tangent\\_linear\\_model} and \\texttt{adjoint\\_model}.\n", "\n" ], "text/markdown": [ "```\n", "ℳ = ModelFun(nonlinear_forecast,tangent_linear_model,adjoint_model)\n", "```\n", "\n", "Model defined by the functions `nonlinear_forecast`,`tangent_linear_model` and `adjoint_model`.\n" ], "text/plain": [ "\u001b[36m ℳ = ModelFun(nonlinear_forecast,tangent_linear_model,adjoint_model)\u001b[39m\n", "\n", " Model defined by the functions \u001b[36mnonlinear_forecast\u001b[39m,\u001b[36mtangent_linear_model\u001b[39m and\n", " \u001b[36madjoint_model\u001b[39m." ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "?ModelFun" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\u001b[32m\u001b[1mTest Passed\u001b[22m\u001b[39m" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ℳ = ModelFun((t,x,η) -> 2*x,(t,x,dx) -> 2*dx,(t,x,dx) -> 2*dx)\n", "\n", "x = randn(4)\n", "@test ℳ(0,x) ≈ 2*x\n", "@test tgl(ℳ,0,0,x) ≈ 2*x\n", "@test adj(ℳ,0,0,x) ≈ 2*x\n", "check(ℳ,4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Kalman Filter" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2×2 Matrix{Bool}:\n", " 1 0\n", " 0 1" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# state size x\n", "n = 2;\n", "\n", "# number of observation per time instance\n", "m = 1;\n", "\n", "# observation operator\n", "H = [1 0];\n", "𝓗 = ModelMatrix(H)\n", "\n", "# initial condition\n", "xi = [1; 1];\n", "\n", "# error covariance of the initial condition\n", "Pi = Matrix(I,n,n)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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dd9/Vqd1CgheXUlWVpxf+xbajmQT7Gfju/n60bxJc48fbcl5k5OWSikxm3l21H4CHr2xH0zD/Gj9Wp1MIMOrJLzGX5b1ULooohPA8wcHBdOnSpcKxwMBAIiIiKhwvKCiwlbI/efIkixYt4r333uOBBx6otPfe1KlTGTRoEMnJyTzxxBO2L0lt2rShtLSU//znP4wdO5aNGzcya9Ysx/+SXkpyXlxo5q8H+THhFAadwqw7etUqcAEw2lYbycjLpczbfJSTWYXEhPpx14BWtX68vxSqE6LB+uyzz4iJiaFNmzbccMMNJCcns2DBggqJtlYDBw6kQ4cO5OTkMHnyZNvxHj168O677/L222/TpUsXvvnmG2bMmOHMX8OryMiLi/yYcJL3VmsjAa9d34UBbSNrfY3yaSMZealOdqGJD9ZoSbqPD29fbU2Xiwn01ZOWJyuOhPB255fvqOp2Tezdu7fK448//jiPP/54hWOTJk2y/X3KlClMmTKl1s/XEMnIiwtsP5rBk//T6ozcNziOWy9Slv5SjGXTRmbJeanWrHWHyCow0b5JEDde1rxO15BaL0II4T4keHGytLxi7v96OyVmCyPim/D0NR3rfK3yCrsy8nIxqdlFfLEhBYCnRnZEr6tbFn/AeculhRBCuJYEL06kqtpS3bS8Ejo0Ceb9W3rU+cMUJGG3Jt5fvZ/iUgt9WjXiqk51r1RZHrzItJEQQriaBC9O9P32E6xKPoNRr/DuxO71XnJr2x5Apo2qdPBsLt9t06oVP3Ntx3rVTrBW2c2XkRchhHA5CV6c5ERmAa/8lAzAY1e3p3PT0Hpf0zryItNGVfv3rwexqDAivkmNa+dcjG1zRhl5EUIIl5PgxQksFpUn/reLvOJSerVsxLQhbexyXVkqXb2kk9kATO7fqt7XCiirsisJu0II4XoSvDjBFxtT2Hw4gwAfPf+a0L1eeS7nsy6VLpWl0lXKKCgBoElI/YvKyeaMQgjhPiR4cbADZ3L5x4p9ADw3uhOtIu1XLrt82khGXi5UaraQXajtF9IowKfe17Nuzig5L0II4XoSvDiQqqq88ONuSkotDGnfmNvqWM/lYsqnjWTk5ULZhSZUVdteJdT/0jtHX4p15KVQghchhHA5CV4caGliKpsPZ+Br0PF6LTYCrCnbyIusNqoks2zKKNTfaOun+ijPeZFpIyEairVr16IoCllZWa5uit1MmTKF66+/3tXNqDfZHsBBCkvMvPGLtrpo2pA2xIbXfJv2mrLlvMjISyUZ+dqUUbgdpozg/JwXGXkRQri/I0eO0Lp1a3bu3EmPHj1sx//973+jqp7/mSEjLw7y8bpDnMouolmYv91WF13IqLNuD+D5L0R7y8jXRl4aBdonePGXInVCOE1SWhJTV0wlKS3J1U1xupKSEodePzQ0lLCwMIc+hzNI8OIAxzMKmLXuEKAl6Vo/+OzNtjGjJOxWYp02skeyLsjIixDOtOTQErakbuGnwz85/LmKi4t55JFHiIqKws/Pj4EDB7J169YK52zcuJHu3bvj5+fHFVdcQWJiou2+o0ePMnbsWBo1akRgYCCdO3dm6dKltvuTk5MZNWoUQUFBNGnShEmTJpGWlma7f+jQoTz88MNMnz6dyMhIhg8fzq233sott9xSoQ0mk4nIyEjmzJkDwPLlyxk4cCBhYWFEREQwZswYDh06ZDu/devWAPTs2RNFURg6dChQedroUr//2rVradSoEb/++iu9e/cmICCA/v37s2/fPts5u3btYtiwYQQHBxMSEkKvXr3Ytm1bbf8pakWCFwd445c9lJRa6BcXwbVdoh32PEbZHuCirCMv4YH1T9aF83JeZORFCIc4lXeKpPQkktOTWX5kOQDLUpaRnJ5MUnoSp/JOOeR5n3rqKRYuXMiXX37Jjh07aNu2LSNHjiQjI8N2zpNPPsk777zD1q1biYqKYty4cZhM2tT0Qw89RHFxMevXrycxMZG3336boKAgAE6fPs2QIUPo0aMH27ZtY/ny5Zw5c4abb765Qhu+/PJLDAYDGzdu5JNPPuH2229nyZIl5OXl2c5ZsWIF+fn53HjjjQDk5+czffp0tm7dyq+//opOp+OGG27AUpYDuWXLFgBWr17N6dOnWbRoUZ1/f4AXXniBf/3rX2zbtg2DwcDdd99tu+/222+nefPmbN26le3bt/PMM89gNNrnvfdiJOfFzjYeTGN5Uip6ncJL4+LtnqR7PtvGjJKwW0mmnaeNyivsysiLEI4wcuHISscyijKY+PNE2+3EyYmVzqmP/Px8Pv74Y+bOncu1114LwGeffcaqVauYPXs2ffr0AeCll15i+PDhgBZoNG/enMWLF3PzzTdz7NgxbrzxRrp27QpAXFyc7foff/wxl112GW+++abt2BdffEFsbCz79++nffv2ALRt25Z//OMftnPatGlDYGAgixcvZtKkSQDMnz+fsWPHEhISAmALYqxmz55NVFQUycnJdOnShcaNGwMQERFBdHTVX6Iv9fs/+eSTtnNfe+01hgwZAsAzzzzD6NGjKSoqws/Pj2PHjvHkk0/SsaO20XC7du1q+C9QdzLyYkdmi8orP2lztJP6tqRjdIhDn08vS6Uvylqgzt4Ju1JhVwjHmDFoBnql6il2vaJnxqAZdn/OQ4cOYTKZGDBggO2Y0Wjk8ssvZ8+ePbZj/fr1s/09PDycDh062O5/5JFHeP311xkwYAAvvfQSf/31l+3c7du3s2bNGoKCgmw/1g/486d4evfuXaFdRqORCRMm8M033wBakPHjjz9y++23V2j7bbfdRlxcHCEhIbZpomPHjtn99wfo1q2b7e8xMTEAnD17FoDp06dzzz33cPXVV/PWW29V+N0cRYIXO/ox4ST7z+QR6m/k8avbO/z5bNNGMvJSicNGXkxmLJIgLYTdjYkbw/zR86u8b/7o+YyJG2P357SuurlwhFxV1UuOmlvvv+eeezh8+DCTJk0iMTGR3r1785///AcAi8XC2LFjSUhIqPBz4MABBg8ebLtWYGDl4qW33347q1ev5uzZs/zwww/4+fnZRkcAxo4dS3p6Op999hl//vknf/75J1C7hN/a/P7nTwNZ77NOUb388sskJSUxevRofvvtN+Lj41m8eHGN21EXErzYicls4f3VBwBtaXRogGPn++D8hF35ML1QRoF9l0qfvwN4oUlGX4RwJAWlwp+O0rZtW3x8fNiwYYPtmMlkYtu2bXTq1Ml2bPPmzba/Z2Zmsn//ftsICkBsbCzTpk1j0aJF/O1vf+Ozzz4D4LLLLiMpKYlWrVrRtm3bCj9VBSzn69+/P7GxsSxYsIBvvvmGCRMm4OOjvZ+lp6ezZ88enn/+ea666io6depEZmZmhcdbzzWbL/5+VdPfvybat2/P448/zsqVKxk/frwtsdhRJHixk4XbT3Aso4DIIB8m92/plOe0LpWWjRkry8gvBuw38uJn1GH9IiJJu0I4RrhfOBF+EcRHxPNC3xeIj4gnwi+CcL/67Qp/MYGBgTzwwAM8+eSTLF++nOTkZO69914KCgqYOnWq7bxXX32VX3/9ld27dzNlyhQiIyNtK3Yee+wxVqxYQUpKCjt27OC3336zffA/9NBDZGRkcOutt7JlyxYOHz7MypUrufvuu6sNKkAb3bjtttuYNWsWq1at4o477rDd16hRIyIiIvj00085ePAgv/32G9OnT6/w+KioKPz9/W1JwtnZ2XX+/atTWFjIww8/zNq1azl69CgbN25k69attQ5+aksSdu2guNTMzF+1UZcHhrat8C3dkWRjxovLtBaps1PwoigKgT4G8opLKSg2Q7BdLiuEOE90YDQrb1qJUWdEURQmtJ+AyWLCR2+f/8dVeeutt7BYLEyaNInc3Fx69+7NihUraNSoUYVzHn30UQ4cOED37t1ZsmRJhZGNhx56iBMnThASEsI111zDe++9B0DTpk3ZuHEjTz/9NCNHjqS4uJiWLVtyzTXXoNNdeuzg9ttv580336Rly5YV8lJ0Oh3ffvstjzzyCF26dKFDhw7MnDnTthwawGAwMHPmTF599VVefPFFBg0axNq1a+v0+1dHr9eTnp7OnXfeyZkzZ4iMjGT8+PG88sorNXp8XUnwYgcLth7nVHYRTUJ8uf0K++5fVB3ZmLFqxaVm8srK+Ntr2gi0vJe84lKp9SKEA50fqCiK4tDABcDPz4+ZM2cyc+bMSvcNHTrUlhcyZkzVOTfW/JaLadeu3UWXKQNVBhRW8fHxF62Ge/XVV5OcnFzh2IXn3nPPPdxzzz0Vjs2dO7fC7ep+f9D6IDMz07bKCaBHjx4Vnuu///3vRX8HR5Fpo3oqLDHzn98OAvDwsLb4GR1TkK4qsjFj1bLK8l30OoVgP/vF5wFSZVcIIdyCBC/1NG/zUc7lFtMszJ+b+8Q69bnLN2aU4OV8tq0BAozodPZL+LNOB+bLyIsQQriUBC/1kF9cysdl2wA8clVbfA3OG3WB8pwXsyyVrsC2TNqOU0YAgWVVdgtkZ2khhHApCV7q4atNR8nIL6FVRADjL2vu9OcvX20kIy/nsxaos9dKIyt/2d9ICCHcggQvdVRkMvPFxhQAHr6yna1gnDPJxoxVs4682DNZFyBQcl6EEMItSPBSR4t3nuRcbjExoX6M697UJW2w7m0kS6UryihbJm3vkRfJeRGiehdbGSPE+ezxOpHgpQ7MFpXP1h8GYOrA1vgYXNONBtlVukqZBfbdUdqqfLWRBC9CnM9aOr6goMDFLRGewPo6qc/O01LnpQ5WJZ/hcFo+IX4GbrnceXVdLmTbVVqmjSrIcFDCboAk7ApRJb1eT1hYmG2jvoCAgEvuDVRfFouFkpISioqKalTwTdSNPftZVVUKCgo4e/YsYWFh6PV1X+QiwUstqarKrLIVRpP6tSTI13VdWL4xo4y8nK985MXeOS8ybSTExURHRwPlOw07mqqqFBYW4u/v7/BAqSFzRD+HhYXZXi915dBP3vXr1/PPf/6T7du3c/r0aRYvXmzbD+Ji1q1bx/Tp00lKSqJp06Y89dRTTJs2zZHNrJUtKRkkHM/Cx6BjSv/WLm2LJOxWLcPOO0pb2XaWloRdISpRFIWYmBiioqIwmUwOfz6TycT69esZPHhwvaYfRPXs3c9Go7FeIy5WDg1e8vPz6d69O3fddRc33njjJc9PSUlh1KhR3HvvvcybN4+NGzfy4IMP0rhx4xo93hk+Kct1ualXcxoH+7q0LZ64VPqD3w6w8WA6X0zpg7+PY+riOGq1kSTsCnFper3eLh9ONXme0tJS/Pz8JHhxIHftZ4cGL9deey3XXnttjc+fNWsWLVq04P333wegU6dObNu2jXfeecctgpd9qbn8tvcsigL3DYpzdXPO25jRM0ZeikzaVgrFpRYSjmfRr02EQ54nw1HTRr6yVFoIIdyBW2U5bdq0iREjRlQ4NnLkSLZt2+aUYchL+WS9lutybZdoWkUGurg1508bqR6xRHHHsUyKS7VAK7uwxCHPUVhipsikPYejlkrLaiMhhHAtt0rYTU1NpUmTJhWONWnShNLSUtLS0oiJian0mOLiYoqLi223c3JyAG2err4Bj/XxJpOJ09lFLEk4BcDU/i3dIpjCUv4hWlxiQm/HfXwc4ff95Yl8ablFFfr3/D/r42x2IQBGvYKPYrHrv5OPTgsQ84tK3ePfv5bs2c/i4qSfnUP62Tmc2c+1eQ63Cl6AStnM1hGFi2U5z5gxg1deeaXS8ZUrVxIQEGCXNq1atYqCUhjeVOF0ocKJvzZy4i+7XLpeikrB+k/489JlGN1qHK2yZYl6QPt3/HNnIsFnK3biqlWr6v0cx/MADAToLCxbtqze1zvfkVzt2mnZuSxdutSu13Yme/SzuDTpZ+eQfnYOZ/RzbeoEuVXwEh0dTWpqaoVjZ8+exWAwEBFRdX7Es88+y/Tp0223c3JyiI2NZcSIEYSEhNSrPSaTiVWrVjF8+HCMRiM31etq9ldkMvP01l8BuGr4CJcu276U3KJSpv+5BtCC0SYt2jBqZHugcj/Xx+8H0yBxBzHhwYwa1b++za7gwJk83tv9Bxh8GDVqmF2v7Qz27GdxcdLPziH97BzO7GfrzElNuNWnXb9+/fjpp58qHFu5ciW9e/e+aKf5+vri61t51Y/RaLRbR9vzWvak6PQV/u6ObbTacSAD83n1aHKLzJXaa49+zi3W8l3Cg3zt3h/BAdrrrKCkcts9ibu+nr2N9LNzSD87hzP6uTbXd+hEQ15eHgkJCSQkJADaUuiEhASOHTsGaKMmd955p+38adOmcfToUaZPn86ePXv44osvmD17Nk888YQjm+mxzs9xMbn5cukNB9MA8DdqAZe1kJy9OarGC0Bg2chWkclSIRATQgjhXA4NXrZt20bPnj3p2bMnANOnT6dnz568+OKLAJw+fdoWyAC0bt2apUuXsnbtWnr06MFrr73GzJkz3WKZtDtSFOW8zRnde7n0H4e04OXKTlEAZBU4JvnLUTVeoLxIHchyaSGEcCWHThsNHTq02iW8c+fOrXRsyJAh7Nixw4Gt8i4GvUKpRXXrQnVnc4vYfyYP0JaZ//LXabIctFTaWuPFESMvvgYdOgUsqrYkO9hPhqqFEMIV3Hx9irgUa5Vdd94iYNOhdAA6Nw2hdVl9nEyHjbxo1w0PsH9goSiK7G8khBBuQIIXD1deZdd9R142luW7DGgbadvpObvA5JDCeo7MeYHynaXzZWdpIYRwGQlePJxB794jL6qqsvGgNvLSv00EYWUjIiVmi0Mq1TpqR2kra5XdQpOMvAghhKtI8OLhjNaEXTfNeTmaXsDJrEKMeoXLW4fjb9TjY9BedlmF9p86so28OCBhF8qTdmXkRQghXEeCFw9nHXlx19VGG8tWGfVs0YgAHwOKohDmr42+WFcG2Yuqqg4feQmU/Y2EEMLlJHjxcLacFzcdefmjbMpoQJtI2zHrqIi9l0vnFZfa6t04bOTFtrO0BC9CCOEqErx4OOtqI3dM2LVYVFt9lwFty7d3sOa92Hu5tHWlkb9Rj/95NVnsyTptJHVehBDCdSR48XDWkRd3TNjdk5pDZoGJQB893WPDbMetwYu9l0tnOHjKCMoTdvOLZeRFCCFcRYIXD2dw44Rda32Xy1uHY9SXv9TKl0vbe+TFukzaccXjAstGXgpl5EUIIVxGghcP584Ju9bgpf95+S4AoY4aeXHwSiMAfylSJ4QQLifBi4ezjry428aMpWYLW1IyAOjXJqLCfY5K2HX0SiMoH3mRnBchhHAdCV48nNFNR16STuWQW1xKiJ+BTjEhFe6zLpXOsvO0kTNGXgJ8JedFCCFcTYIXD1eesOteIy+bD1vzXSLQl40OWYWVBReZ9s55cUrCriyVFkIIV5PgxcMZrEul3Sx42VQWvFw4ZQTQyLZU2kE5L04JXmTaSAghXEWCFw9ntG3M6D7TRiazha3WfJe4ysFLmKNyXmw7Sjsy50USdoUQwtUkePFw5Rszus/IS+LJbPJLzIQFGOkYHVzpftvIS0EJFjsW17PWeXHkUmlrhV1ZKi2EEK4jwYuHs27MaHajkRfrEukrWoejuyDfBcqXSltUyLXjBofWOi9SpE4IIbybBC8ezh0Tdq3JulVNGQH4GvS23JFsO00dWSznbcro0GkjyXkRQghXM7i6AaJ+bEXq3CR4KSm1sO1IJgD9LihOd74wfyMFJWYyC0qICan/NE9OkQnrDFSYE5ZKy2ojITQms4UdRzNZt/8c6/afQ1Fg7l2XExnk6+qmCS8mwYuHs04buUvC7l8nsig0mQkP9KFdVNBFzwsL8OFUdlHZaElgvZ/XutIo2NeAj8FxA4oBRm3kpbjUQqnZYgsehWhILBaV3w+m8e2WY/x+II28C6Z/P1l3iOdGx7uodaIhkODFw+l17pWwa8136RtXdb6LlXVzxmw7LZfOLHD8MmkoT9gFKDCZCZHgRTQg+cWlLNpxgrl/HOHQuXzb8fBAHwa1i6RZmD8frT3EvM3HuH9IGxl9EQ4jwYuHsy2VdpNdpTenVJ/vYmWtgmtNsq2v5FM5gGOTdQF89DoMOoVSi0phiZkQP8etbBLCXeQXlzJr3SHm/nGE3CJtlCXI18CE3s25vkczujYLRadTUFWVDQfT+OtENp//nsIz13Z0ccuFt5LgxcMZbHVeXD/yUlxqPi/fpfrgJcyOherS84r516r9AIzuGlPv61VHURT8ffTkFpWSb8eVUkK4I4tF5cddJ3lr2V7O5BQD0CoigMn9W3FTr+YEXxC8K4rCI1e2456vtvHVpiPcNzjO4V8oRMMkwYuHM9imjVw/8pJwLIviUguRQb60aXzxfBc4L3ixw2qj13/ZQ1aBiU4xIUwZ0Kre17uUQB8DuUWlkrQrvFrC8Sxe+SmJnceyAIgN9+fv13ZiZOfoaqeEr+oURXxMCMmnc5i94TBPjpTRF2F/MmHv4cqnjRw78pKUlsTUFVNJSku66DnWLQH6xoWjKBd/c4Pzd5au37TR7wfOsXjnSRQFZozvatuo0pGseS8SvAhvVFJqYcbSPdzw0UZ2HssiwEfPU9d0YNXjQ7i2a0y1gQuUjb5c1Q6AL/84avcNWEXVavIe7U0kePFwtgq7Dl5ttOTQErakbuGnwz9d9JzN1exndKHQsp2lM+sx8lJkMvP8D7sBmNyvFT1iw+p8rdqw1qjJl1ovwgPtPJbJDR9t5MUfd3P4XF6F+w6fy2P8xxv5ZP1hVBVu6NmMNU8M5cGhbfEz6i9yxcpGxDehY3QwecWlfLHxiJ1/A1GVmrxHexOZNvJwBp3jRl5O5Z0iszgTBYXlR5YDsCxlGePajENFpZFvI5oGNQW0QGJH2fBy30sk64J9Rl5m/nqAo+kFRIf48bcR7et8ndqyVtktkCq7wsPsOJbJ5NlbyC0uZeexLL7adJQrO0Zx94DWnMoq5KUlSRSatK093r6xGyM7R9fpeXQ6bfTlwW92MGdjClMHtrZ9YRH2U5v3aG8jwYuHs06TOKLOy8iFIysdyyjKYOLPE223EycnArDreBYlpRYaB/sSF3npui31Tdjdm5rDp+sPA/DKdZ0rJQ46UqCMvAgPtPO8wKV3y0aEBRj5de9Zfiv7seoXF8F7E3sQHepXr+e7pnM07ZsEsf9MHjd+/AcxoX4E+hgI9DUQEeRDp5hg4mNCiWsc6JTpXm9Um/dobyPBi4czODDnZcagGTy/4XnMauURBr2i5/WBr9tu/1m2i/QVrS+d7wLlVXDrslRaVVWeW7ybUovKiPgmdf52WFfWKruFkvMiPMTOY5ncWRa4XN46nLl39SHAx0BKWj5zN6bwv+0nKCm18LcRHbhvcBz6S+S11IROp/D41e154JsdHDybx8GzeVWe52PQ0aFJMAPaRjKqazRdm4XW6D1E1O492ttI8OLhjDrryIv9g5cxcWOIC42rEMVbzR89n/iI8gqa1nyXK2owZQTlO0vnFJVirmXbf0g4yfajmQT46Hnlus61eqw9WKvsysiL8AQXC1wAWkcG8sp1XXhiZAcKS8xEhdRvtOVC13aN4ceHBnA6u4iCEq28QF6xmdTsQvacziX5dA55xaUknswm8WQ2s9YdolmYP9d2iWZ0txh6xIZJIFON2rxHexsJXjxc+caMjk3YVVBQUW1/nq+k1MKOY1p9l76tw2t0vfPnv2tTZTevuJQZS/cC8NCwtsSE+tf4sfYS6Cs5L8IzHDiTy+QvygOXOVPKA5fzBfsZHTb12j02jO6xVd9nsagczywg4XgWK5PPsGbvWU5mFfL5hhQ+35DCZS3CmDakDVd3anLJVU4NXXXv0d5IghcPp3dgwi5AuF84EX4RRAdGM77deBYdWERqfirhfuVByl8nsigyWYgI9KFtNfsZnc+g1xHsp9VLqU3w8uGag5zNLaZlRABTB7au9e9jDwE+slRauL/U7CImf7GFnKJSerYIY86UPrbA213odAotIwJpGRHIdT2aUWQys27/OZYmnmZZYio7jmVx39fbadM4kPsHt+H6ns0cuneZJ6rJe7Q3cq9Xsqg1RybsAkQHRrPyppUYdUYURWFC+wmYLCZ89OVVM635LpfXMN/FKizASG5RaY0L1aWk5TP79xQAnh8dX6ulm/ZUHrzItJFwTzlFJqbM2cKp7CLiGgfyxWT3C1yq4mfUM7JzNCM7R/Pc6CLmbDzCvM1HOXQun6cW/sXO41nMGN/V1c10KzV5j/ZGEsJ6OOtSaUduzOij97EFJYqiVPpPYct3qeGUkZVtf6Majry8/nMyJWYLg9s35upOUbV6LnuyDrvny8iLcEPFpWbu/2o7e1NzaRzsy5d3Xe7wDUsdISrYj6ev6cgfz1zJ41drpRCWJJx0i2ri7uZS79HeSIIXD+fokZdLMZktbD+q5bvUNFnXypr3kl2DkZc1+87y696zGHQKL46Jd2kSX2BZhd1CGXkRbsZiUXnyf3+x6XA6gT565kzpQ2x4gKubVS/Bfkb+78q2NAowkl9i5q8TWa5uknADErx4OEcula6J3SezKSjRilp1aBJcq8faCtVdYuSlpNTCaz8lA3DXgFY1zqtxFH/ryIsk7Ao38/7q/SzZdQqDTmHWpF50aRbq6ibZhU6n2Cp3bzyY7uLWCHcgwYuHc/XGjLZ8l1bhtV4N0KiGmzN+tekIh9PyiQzy4f/K9kxxJWuRugNn85izMYXdJ7MplaFs4WLLEk8z87eDALx1YzcGtWvs4hbZV/82kQBsPJjm4pYId+D+GVyiWraNGR1Q56Umalvf5XyhtpGXErhI7m12gYn/lL0h/21EB0KcWEn3YlqUDcOn5RXzStmIUKCPnstaNmJ01xiu7RJDaIDr2ykajr2pOfztf7sAmDqwNTf1au7iFtnfgLZa8LLjWCYFJaUYZeV0g+aUkZePPvqI1q1b4+fnR69evfj9998veu7atWtRFKXSz969e53RVI9j3ZjRFdNGpWYL246U5bvUMlkXykdesgsunjvy4dqDZBeaaBcVxAQ3eUNu1ySYn/9vIE+O7MDQDo0J9jOQX2Lm9wNpPLMokd5vrOLer7bx81+nKDLJ1JKwn6p2Ds7ML+Her7ZRUGJmYNtInr22owtb6DitIgJoGuqHyayytex9RzRcDh95WbBgAY899hgfffQRAwYM4JNPPuHaa68lOTmZFi1aXPRx+/btIyQkxHa7cWPvGgK1F9vGjC5I2LVWxwz2M9ApJuTSD7iAdX+jzMISqCJd5nhGAXPLdqT9+6hOtkDNHXRpFmrLJ7BYVPafzeW3vWdZknCKvam5rEo+w6rkM0QE+nD3wNbc0belbEwn6u38nYM7R3am1Gzhofk7OJ5RSIvwAD64radb/T+xJ0VR6N82ku+3n+CPg2n0bx3m6iYJF3L4q/zdd99l6tSp3HPPPXTq1In333+f2NhYPv7442ofFxUVRXR0tO1Hr3dNTQ93Z3ThyMufh8vzXeqyF0qYbWfpqnNe3lm5jxKzhf5tIhjawX2DV51OoWN0CA8Obcvyxwaz/LFBPDi0DU1D/UjPL+GfK/Yx4K3fmLF0D2dyilzdXOFhTuWdIik9ieT05Ao7ByenJ/PkT0vZdPQgAT56Pruzt+3/lLca0LYsafeQ5L00dA4deSkpKWH79u0888wzFY6PGDGCP/74o9rH9uzZk6KiIuLj43n++ecZNmxYlecVFxdTXFxsu52TkwOAyWTCZKrbjsVW1sfX9zoOZdGmJUxmi9PbuansDaR3y7A6PXdQ2aS1NXg5/xqJJ7P5MeEUAE+NaEdpqecsS24T4c/jV7Xh4aGtWbr7DJ+uT2H/2Tw+WX+YOX8c4e7+LZk2uLXTi4Z5xOvZC9i7ny+1c3BQO5jRfRlxEX5e/2/bp4U22pl0KodzOQWAvJ4dzZnvG7V5Doe+e6alpWE2m2nSpEmF402aNCE1NbXKx8TExPDpp5/Sq1cviouL+frrr7nqqqtYu3YtgwcPrnT+jBkzeOWVVyodX7lyJQEB9qlvsGrVKrtcxxHSigAMFJWYWLp0qdOe16LCpoN6QMF0KpmlS5NrfY1zhQAG0nMLgfJ+VlX4IFkH6OgdaeFowgaOJtir5c5lBB6Mg+RwhVUndaTkWpi1PoX/bjrM2JYWekeqOLtkjTu/nr2Jvfr5poCbWFSwCAuVp4ZVVUebwpswH93O0qN2eTq318Rfz5lChc9+XEePCHk9O4sz+rmgoKDG5zrlq9+FBcVUVb1okbEOHTrQoUMH2+1+/fpx/Phx3nnnnSqDl2effZbp06fbbufk5BAbG8uIESMq5MzUhclkYtWqVQwfPhyj0T3zFU5lFfLazt9RFR2jRlX+huYoyadzKNy8mUBfPffeeHWd5tmzC028nrCGYotCqQWuHan182/7znFw8058DDremTyIZmHO33zR3kYDT6gqv+49x5vL9nE8s5B5B/UkFYfy+nXxtK9ljZy68ITXszewdz+PYhQ3ZNzA7ctvr3Rfi6Jn+O9d423Txw3BNssevv7zOIUhscAxeT07mDPfN6wzJzXh0OAlMjISvV5faZTl7NmzlUZjqtO3b1/mzZtX5X2+vr74+vpWOm40Gu3W0fa8lr35+2rTRqUW1alt3H5Me5H1bhmOv1/l/q+JcL0BnaKN4hSUav2s0xt4Z+UBQCtI16px/QJQd3Ntt2YM6xTN7A0pfPDbQXYez+Zv3+9m+WOVA3NHcefXszexZz8bDNpbtXXHYFVVUBSVp6/pSEAd//95qoHto/j6z+P8mZJFv/byenYWZ/Rzba7v0HDdx8eHXr16VRpuWrVqFf3796/xdXbu3ElMTIy9m+cVrCMeqgpmJ9Z62VJWnO6KuLrvXKrTKbYVONbV0ot3nuTA2TxC/Y08OLRtvdvpjvyMeh4a1pZ591wOwLnc4ks8QjR01p2DmwW0o+j0DViKmhFsbESHxg3vfbFvXAQ6BVLSC8iS/zoNlsOnjaZPn86kSZPo3bs3/fr149NPP+XYsWNMmzYN0KZ9Tp48yVdffQXA+++/T6tWrejcuTMlJSXMmzePhQsXsnDhQkc31SNZtwcALWlXr3P8qixVVdlypCx4qUN9l/OFBfiQWWAivxSKSy28t2o/AA8MbeP1S4ubhPgBkFvkOcnIwjWiA6P54sofuO6DzZiKzdzd7Vb+NrJNg9iA70Kh/ka6Ngtl14ls9mdLpbqGyuHBy8SJE0lPT+fVV1/l9OnTdOnShaVLl9KyZUsATp8+zbFjx2znl5SU8MQTT3Dy5En8/f3p3Lkzv/zyC6NGjXJ0Uz2SUVc+eOasKruHzuWRkV+Cr0FH12Zh9bqWtdZLfqnCgm0nOJlVSFSwL5P7tap/Q91ccFm14BKzhSKTGT+jlAMQF/fm0oPkFpvp1bIRT4zs0KDyXC7Uv22kBC8NnFMSdh988EEefPDBKu+bO3duhdtPPfUUTz31lBNa5R3OH3lx1v461v2MLmvRCB9D/d5Aw8pGVzKL4Ye1hwH4v6va4e/j/R/kQectlc4rLpXgRVzUxoNprN5zBr1O4e0buzXowAVgQJtIPl57iP3ZCqrqmq1RhGvJ3kYezqA7f9rIOf+J7ZHvYmXdWfrXUzqyS0poER7AxN6x9b6uJ9DrFAJ99OSXmMktKiUyqGElXoqaMVtUXvtZK0UwqW9Lh+yqnpSWxLvb/sX0znfR2Scc8s9Bfhqo1i9EZe8zBl8IbAxBURDUBHxds8N771baF6dsk4W1+9MY0aWpS9ohXEeCFw+nKAoGnUKpRXXKFgGqqpZX1q1nvguUV9nNLtHeHKcPb1/v0RxPEuxnLAtepNCWqNp3246zNzWXUH8jj9pjV3WLBdL2QepuOJsMZ5NZkpvMFj/4af9vdM6oxb5BxkCIaAPRXaFJZ+0nuhsE1P+9oTp+Rj3DO0bxy+5U7v9mJ49fnc/Dw9rWemd74bkkePECBn1Z8OKEkZfjGYWk5hRh1Cv0jG1U7+uFnbf7cocmQYzr3rC+QQX7GUjNkaRdUbXcIhP/WrkPgEevakejwDok6KoqpB+ElHWQsh5SfofCDE4Z9GTqdCjA8ugoQM+yoADGlRpQ/RvRyC+cpnp/4Lz3FVMh5J3Vfkz52k/qX9qPjQIx3SBuGLQZBrF9wehXj16o2lvjO5N+9hSbz+p4d9V+th3N5L2buxMhI5gNggQvXsCo01GExSkJu3+mpAPQrXmYXfJSGp0XvDx+dcP75hTsp/0XlJEXUZUP1xwiLa+EuMaBTOrXsuYPVFUtoNi9CJIWQ9YF5XeNgYxsHlHpYRl6PRMj/IEi4BSJdyZe/DmK8yA3Fc7tgTNJcGa3NpqTmQKnd2k/G98Hgz+0uxq63gztRtgtkPEz6rm1jYUbBnblpZ/2sH7/OUbP3MCHt19Gr5b1/2Il3JsEL17AmrTrjIRda76LPaaMANqUzd+3CVa50o03X3QU64qjHBl5ERc4ll7AFxtSAHhuVKeaJelmHoGd87SgJeNQ+XG9L8ReDq2HQOvB0OwyZhxdwfMbnsesmitdRq/oeX3g69U/l28Q+LaFyLbQaWz58dwzcHgtHF4Dh9ZAXirs+Un78Q2F+HHQ/RZoOQB77I0xvmczurcI58F5Ozicls+tn23mnzd147oezep9beG+JHjxAvqy5dLOSNi11nexV/DSLy6C+VP7cDxx00W3jPBm5SMvEryIimYs20OJ2cKgdpFc2THq4idaLHDoV9j6OexfgW2ax+CnjXR0GQ/tRoJPxb3exsSNIS40zrbB4/nmj55PfER83Roe3AS6T9R+VBVSE2H395D4PeSchJ1faz9NukDfB6DLTfUejekYHcKS/xvI4wsSWJV8hke/TeBIWgGPXNW2Qb6vNAQSvHgBo3XkxcEJu6nZRRxNL0CnYLdhWUVR6NOqEedqv6+jV7AGL3kSvIjzLEs8zbLdqegUeG50p6o/gEsKYPtc2PKJNuJiFTcMet4B7a+p8Wog67YD1j/tRinLf4npBle9DEc3wl8LYPdCbZrpx4dg9cvQ5x7ocy8EVp7KqqkgXwOz7ujFW8v28NnvKby3ej9H0vN568au+BqkDIG3keDFC1injRw98mIddYlvGkKIn3dXv3UW67SR5LwIq7S8Yp77YTcADw5tS8foC/b3Ks7VRln++AAK0rRjvqHQ83boPVWbxqkh67YD0YHRjG83nkUHFpGan0q4nwNWC+l00HqQ9jP8VdjxFWz5VBuNWTsD/vgP9H0Q+j8MfqF1egq9TuG50fG0igzkxR+TWLzzJCcyC/jszt62lY3CO0jw4gWsVXYdnfOypSxZ9/JWdf92JCoK9pVpI1FOVVX+viiRjPwSOkYH88j5S6OLc2HTR7D5IyjK0o6FtYSBj0G3ieATWOvniw6MZuVNKzHqjCiKwoT2EzBZTI7fdiAgXGt3v4dgzxLY+G8twXf9P7SAZuDjcPl9laa6aur2K1rSIjyAB+ftYOuRTG75dDNfTb2cqGD7r3oSrtFwCmp4MVvCroNXG1nru9ijOJ3Q2HJeimXkRcAPCSdZmXwGo17h3Zt7aDWPzKWwdTbM7Alr39QCl4i2cP3H8H/boffddQpcrHz0PrZpKUVRnLtfkt4IXW6E+9bBzV9BZAft91v9kvb77lqg5c3UwaB2jfnfA/1oHOzL3tRcJszaxPGMAvu2X7iMBC9ewGBL2HXcyEt6XjEHzuYB0KeVBC/2Uj5tJCMvDd3p7EJe/DEJ0Gq6xMcEw77l8HF/+GW6VvU2PA5unA0PbYEet2kf/t5AUSD+OnhwE1w/C8JaaKuUFt8Hc67Vkn7roGN0CN9P60dsuD9H0wuYMGsTB8/m2rnxwhVk2sgdmQoh+wTknYGiHCjKhuIc7UdVAaWsWrcCBj9Gms7RVKcnMBVo1AZCm9u9bPfWI1rVzfZNggivS6EsUSXryIsslfYeyenJzM6dTav0VnSP7l6jx6iqytMLE8ktKqV781CmdbbA19drS44B/MNh6DPQ6y4wePH/P50eetyqrZDa9AGsfweObYJPBmsJvcP+Dv5htbpky4hA/nd/fybN/pMDZ/OYMGsTX919BV2b1y2vRrgHCV5cRVUh97RW1Cn1L61Md+ZRyDoG+WdrdalHAXyANWU/oO0/0qg1NGoFke0gpgc07aHtSVIH9q7vIjTWkZc8Sdj1Gj+n/EyKOYVfUn6pcfCyYOtx1u8/R7ChlDmtVmL49GMwl2j1Wfo+oOWA1PJD26MZfGHQ37TCdiufg+QftVVVe5bA2JnQfkStLhcd6sd39/dj8pwt/HUim9s/38w39/SVAMaDSfDiLGYTnNoJRzbA0T/g1A4oSL/4+T5B2sZn/mHgG6Jl3/sGg6ID1PJ5YFMhOw8cQSnMpF2wicDSbCjOLttY7Ryc2FLxusFNoWlPaNlPK1jVpIu2CuASthwpS9ZtLcm69iR1XrzDqbxTZBZnoqCw4ugKAFYcXcH17a9HRaWRbyOaBlW99cXp7ELe+GUPQ3S7+E/QN4RsO6Hd0XY4jPonhLd21q/hfsJitVyYQ7/BL09ohffmT4Aed8BVr9TqUo0CfZh/b1/umrOFrUcyuWP2n3xzzxV0aSYBjCeS4MWR0g/BvmVwcBUc3wKmC5LFFL02KmLd1Cy8jTbXG9YC/BvVuPrkvz7/kw0H03j/6h5c37MZFGZpdR8yj2ilus/ugVMJkLYfck/BvlOw7xftwQERWsXNNldCh1EQGFnlc5zKKgK0aSNhPxK8eIeRC0dWOpZRnFGhAFzi5Mp5G6qq8sb/NvKKZSbjfTZoVfmDm8K1b0GncXapQOsV2lwJ0zbAb69rq60S5mE49CtRUbcDo2p8mSBfA3PuupzJX2xh+9FMbv/8T+bfewWdm0oA42kkeLEnVYUTW7Uy2PuXa8HC+fzDoWV/rSx2iysgKh6M/vV+2vI6L2UJu/5h4N9DmyY6X3Gulvh2cru2QduRjdroT9Ji7Ud5VGtb/HXQcQyExNgeWmTSSogHGOUlY0/WaaNCkxmT2VKzEvDC7cwYNKNOpfY3LZvHi8efJ0qfharoUK54AIY9q42yiop8AuCaN7WtCH58ECXjMP1y38G8MgdGvq5NNdVAkK+BuXf14c4vtrDzWJYWwNzTl/imIZd+sHAb8klkD2f3QuJ3kPg/LWfFSmfQgpX210LcUGjcsUZTNLVlXW10yaXSvsFlwVN/6P9/UFqiBTKH18L+ZVqdhSO/az9Ln9SKSfWchNpxDIVlwYufj3y42pN15AW0Krt12jVY1ElSWhLvbn+X6b2m0zmyc72uVetS+wUZFP30JP33fA8KZAS0IvzWzyG2T73a0SC07AfTNmJe9RL6rZ+i3/opHN8MN82pcYG+YD8jX959OZNmb2HX8Sxu/3wzPz8yiGZh9f8yKZxDgpe6KsyCv76DnV9VXMbnEwQdrtV+2l5d50qRtWHQ1XFjRoOP9kbQsp/2bS8jpWwDtSXaCFLKeu3HN4RX9ZezwDwUP2PtEuVE9Yx6HX5GHUUmC7kSvDjVkkNL2JK6hZ8O/1Tv4OV8lyy1f3gt6uJp+OWexqwq/OB/A+Me/RB861aQrUHyCcAy4k22pgdxReqXKKl/aSuSRv9LW61UAyF+Rr66+3Ju/XQzyadz+GTdIV69rouDGy7sRYKX2lBVOLkDtn8BiQuhtFA7rjNoyXXdJmijLHWsCllXdtseILw1DHhE+8k6BgnzYec3KNnHmGRYzSTDaizzlmhVMTuOAb28fOwh2M9IkamYHFlx5HDnJ9YuP7IcgGUpyxjXZtwlE2svxVpqv0lAE9oWtuWg/0HOFJwpL7VfWgK/vQZ//AcFlUOWGJ42P8Crd96FUQKXOjkT2oPS0Xdh/OlBbcT4h2nan6P/VaMp+VB/I8+P7sRtn//Jd9uO89jV7aUUhIeQT5+aSj8E/5tccZSlcSfofRd0naCVu3YRa56EXTdmDGuh1ZUY/BQZSav5/bv3uFb3Jz4ntsD/tkBoC7jiPrjsTqeMLnmzYF8D53KLySuWpF1HqzKxtujSibU1YS21jxmWLVvGSyNfAr1WwZa0A7BwqjY1CyxUhvN8ya3ce1VXybWor5AYuPNH+P1drQJxwjfapo8T52nvY5fQr00EXZuFkngym682HeGxq9s7odGiviSBoaZCmkH2Sa3uQrdb4O4VWjXIK+53aeAC5dNGDtmYUacjJ2YAj5oeZgQfweAntRVK2cdg5fPwfldYMwMKM+3/3A2ErDhynhmDZqBXqt5hWK/omTFoRr2uX2Wp/Z3faFMap3eBfyPmNH+NvxXeRWyTSB4eVvNNFEU1dHoY8iRM+kF7fzq9Cz4ZAofWXPKhiqJw3+A4AL7adJTCkspJ18L9SPBSU0Y/LZL/214Y/wm06Os2yxgN1pEXB+0qbU3WzTNGwpXPw+NJMO4/ZfuQZMO6t+C9rvDrq5BfTe0aUSXZWdp5xsSNYf7o+VXeN3/0fMbEjbHfk5Xkw+IH4McHtTIJrQezeeRPvHKwDYoCb93YTdu7yMslpSUxdcVUktKSHP9kcUO0fZJiekBhBswbDxvev+T+SNd2iSY23J+M/BK+337c8e0U9eb9/3PsqdUAl4+yVMVo25jRMXsbWZdJ+xnLXi5Gf2266MHNMGEuRHWGklz4/V/w726w9i1tWbaoEWeNvFjL1ienJzv0eTyFglLhT3sKLjyJYc4I2DVfKyx55fPkT1zIEyvOATClfysua9HI7s/rjs5PjHaKsFi4ezn0uB1Ui7bJ4+L7obT4og8x6HXcM1Abffns9xTMDt7kVtSfBC9eoHxjRseOvPgbLxhu1+mg8w1a8aiJ30BMdyjJg7UztB1h//xUS1IU1SoPXhw78nJ+2fqGzJpYGx8Rzwt9XyA+Ip4Iv4jyxNp6UhK/Y/D+l1DS9mlVsu9cAoOf5N3VBzmRWUizMH+eGNHBLs/lrk7lnSIpPYnk9OQKidHJ6ckkpSdxKu+UYxtg9IfrPoRR72jFQP9aAF+OhbxzF33IhN7NaRRg5FhGAct3pzq2faLeJGHXC9hGXhy0q3SxSbuu34XBi5VOB53GQMfRkPyDNn2UcRiWPQmbP4SrX4b4691mms3dOHJn6fqUrfdW1sRao86IoihMaD8Bk8Wk5afUR2kJrHgWw9bPAbC0GozuptkQFEXC8SzmbEwB4I0buhDo691vvY5MjK4xRYHL74WINvDdFDj+J3x+Jdz2HUR1qnR6gI+BSf1aMfPXA3y6/hCjukbb8peE+5GRFy9gsE0bOXnk5UKKoo3EPLRFW6oYGKVtUfC/KTB3TJ23tfd2jtxZeuTCkdzy8y1M/HkimcVaUrW1bP0tP99S5YdMQ1BlYm195JyCuaOhLHDZG3095lv/B0FRlJRaePr7v7CocEPPZgztULfNUT2JoxOja6XNlXDPam2j2qxj8PlwOLC6ylMn92uJr0HHrhPZbD6c4bw2ilqT4MULlFfYdczIizX73s/nEsGLld4Ife6BR3bCkGfA4AdHN2grLn5+XJJ6LxBU9i3cEUul3epDxFsdKXttn9gCfqGU3jyffTHjtRUwwCfrDrHvTC7hgT68MCb+EhfzDk5NjK6Jxu3h3t+07U9KcmH+zbBzXqXTIoJ8mdC7OQD/WrmPklLHvKeK+pPgxQuUTxs5ZuSlqLQseKntygjfIK1y78PbtBEZ1QLbvoD/XAbb5oCDgi1PE+LA1UZu9yHiTVQVNs+CL8dpO7g36QL3rUVtV16F+tC5PP7z20EAXhwT3yALoDkyMbpWAsK1pdTdbgHVDD8+BGvfrrQS6f7BbQjw0bPtaCZ/X5yIeomVSsI1JHjxAnpHJ+yWjbz413Tk5UJhsdqqpClLtR20i7Lg58fgixEylYTzVhu5zYeINzAVwQ8PwvKntQ/CrhNg6ioIj7Odoqoqf1+USInZwuD2jbmuR8PKLXJ0YnSdGHzghlkwcLp2e+2b8NOjYC7/vxcbHsCHt12GToHvt5/g378ecFFjRXW8O2usgXD0UunisqFTP0MdgxerVgPg3rVaXsBvr2v7J30yBN3l96M396h3Oz2Vo+u8XLJsvaidnFOw4A5tU1NFByNeh74PVkpI/37HSf5MycDfqOeN67s0uORPhyVG15eiwNUvQWgzbQPaHV9CbipMmAM+gQAM6xjF69d35e+LE3l/9QGaNwrgpl7NXdtuUYGMvHiB8o0Z3XTk5Xx6A/SdBg9v0VYgqWb27vyc78+9QvKuL+t/fQ/k6JEX64fI1yO/5nLfy/l65NesvGkl0YHRDnk+r3bsT/h0qBa4+DeCOxZpe31dEJjklMBby/cDMH14e2LDG+beRXZPjLanPvdohUcN/nBgBXx1PRSUJ+nedkULHhjaBoBnFv7FhgNpLmqoqIoEL17AWmHX5KCl0tbVRr5GO75cQprCzV/C7d+zJCKa7X56lv3xOiyeVuENpCFwxrSRW3+IeIqd87QVRXlntMKM966BNsOqPHXRER05RaV0aRbCXQNaObedouY6jobJS8AvTEu4njNKG1kr8+SIDozr3pRSi8oD87azL1WKb7oLCV68gNHBS6WLarpUuhZsRazCm7EsNAyAZUEBJO/5nqRPruDUjjl2ey53Z502yisuxSKVPd2PuRSW/11L8LSYoNM4mLpS24W9Cmv2nWNnug69TuGt8d1sXy6Em4q9XKvIGxwD5/bAFyO1jXgBnU7hnxO6cXnrcHKLS7l77lbO5V68Uq9wHvlf5QXKK+w6duTFnsFLxfojWQBk6PVMbBbDLeF+jEx8F76b3CCWVVtHXgDySmRzRrdSmAnzJ2jFFgGGPgsTvtRW0lXBbFF59ec9AEzp14IuzWTHdY8Q1UnbbDc8TqsF88VI2w7gvgY9n9zRi9aRgZzMKuTer7bZvtAJ15HgxQsYHLxU+pIVduug2vojKMxIy9Sq9X50Bexx0p4oLuJr0NlGz2RnaTeSdgA+vxoO/QbGALj5Kxj6jFZR+iI2HUrnRFYRAQaVR65s48TGinpr1FILYKK7aUvf546BY5u1uwJ9+GJKH0L9jSQcz+KJ/+2SUVIXk+DFCxj1Di5S54CRl2rrj4z5ljG3/gxR8dqbyII7YOE9XpsLoyiK7Cztbg6uhs+ugvSDEBqrfajFX3fJh/2YcBKAHhEqAT6ymNPjBEXBlJ+hRX8ozoGvb9CCV6B1ZCCz7uiFUa/w81+neX/1fhc3tmGT4MUL2FYbOTjnxa4Ju+epsv5I0x5w31qtHoOig8T/wUf9tA8VL+SsWi/iElQVNn8M30yA4myI7asl5sZ0u+RDi0xm24Z+vSOlAKPH8guFOxZC26vBVADzJ8KenwHo1yaCN27oCsDM3w6yeOcJV7a0QZPgxQvYRl6cvat0PVnrj3QK78Q4/3F0Cu9UsYiVwVerxzB1NUS0g7xUmHcj/PI3KMm3a1tczVk7S4tqlJbAT4/A8me0atA9btdWogQ1rtHD1+w9S25xKTGhfrQOdnBbhWP5BMAt/9WSs80l8N2dsGsBADf3jmXaEG1K8OnvE9l+NNOVLW2wnBK8fPTRR7Ru3Ro/Pz969erF77//Xu3569ato1evXvj5+REXF8esWbOc0UyPZc15cVjCrj3rvJynxvVHmveC+9fD5fdrt7d+DrMGwYltdm2PKwX7Om5naVED+enw9fWw4ytA0QrPXfehFkDX0A9lU0Zju0Wja1j16LyTwQdumgPdb9OqKC++X9vWBHhqZAdGdm5CidnC/V9v40RmgYsb2/A4PHhZsGABjz32GM899xw7d+5k0KBBXHvttRw7dqzK81NSUhg1ahSDBg1i586d/P3vf+eRRx5h4cKFjm6qxyrfmNFBCbul9k/Ytapx/RGfABj1D5i0GIKbQsYhmD0C1syoUNrbUwXJtJHrnEmCz4bC0Y3gEwy3fQf9/69S4bnqZBeaWLP3HABju8U4qKHC6fQGLYjtcy+gatuabP4YnU7h3Zt70CkmhLS8Eu75chv5DthYVVycw4OXd999l6lTp3LPPffQqVMn3n//fWJjY/n444+rPH/WrFm0aNGC999/n06dOnHPPfdw991388477zi6qR6rfLWRg0deHBC81FqbK+HBP6DLTdq3oXVvVajL4Kkk58VF9i7VguCsY9CoFdyzGtqPuOTDLrR892lKzBY6NAmmY7TMGXkVnQ5G/RP6P6LdXv4M/P4ugb4GPp/cm8ggX/am5vL4ggRZgeREDk2HLykpYfv27TzzzDMVjo8YMYI//vijysds2rSJESMqvnmMHDmS2bNnYzKZMBqNFe4rLi6muLi8aFBOTg4AJpMJk6l++QPWx9f3Og5n0YILk9nikLZaE3b1OOb6te5nQxBcNwulzdXolz+FcnIb6qxBmEe8gdr99lp9Y3YXgWVTctkFxQ57vXnM69kZVBXdpv+gW/MaCiqWlgMwj5+j7Txch/5ZvENL3BzTtYn0s5M4vZ+HvoBO74v+93/Cr69gLs4javAzfHRbd+74Yhsrk8/wj+V7+Nvwds5pj5M4s59r8xwODV7S0tIwm800adKkwvEmTZqQmppa5WNSU1OrPL+0tJS0tDRiYioOyc6YMYNXXnml0nVWrlxJQIB99hNZtWqVXa7jKMfzAAzk5ReydOlSu18/v0gPKGzeuJ79NU8BqLXa93MA/m1f5rKjnxKZtxfDL49xasPXJLS4G5PBs779njmuA3Ts3neIpSbH7mLr7q9nR9NZSuhx7AtiM7UvUCmRV5LY6A7UtZvrdL2sYvgzRfs/Epi+l1Wr9gLSz87i3H7uStumN9P51HfoN/yLw/uTOd30Fia20vH1QT2z1qeQd+ogfRp73wiMM/q5oKDmuUNOKURw4W6qqqpWu8NqVedXdRzg2WefZfr06bbbOTk5xMbGMmLECEJCQurTbEwmE6tWrWL48OGVRnzcyb7UXN5J3ITex4dRo6rea6WuLBaVRzdpL9prR1xNRKD998Spdz9bbsf850fo1r5J0+ztxKScwDz2Q9S4oXZvq6Oc2nCElSf3E96kGaNGdXXIc3jK69mhck6j/34SuswEVEWPZcSbNO89lfrsFzx74xFU9tOrRRiTxl8u/ewkruvnUZi39kS/8lnanV1GXItmjLrzTQJXH2LW+hS+O2Lkuit70yM2zIltchxn9rN15qQmHBq8REZGotfrK42ynD17ttLoilV0dHSV5xsMBiIiIiqd7+vri69v5eEAo9Fot46257Ucwc9XCyhKzard22nNdwEI9vfFaHTcS6bu/WyEwdOh3VWw8B6UtP0Y/nsT9H0IrnoRjH52b6u9hQVqr+H8ErPDX2vu/np2mONbYcHt2saK/uEoN3+JvvVg6pvJ9XOi9n51/WXNK/Rrg+1nJ3NJP/d/EHz84efH0W/7HL3FxFOj3+NQWgGrks/w4H93seThAcSE+ju3XQ7kjH6uzfUdmrDr4+NDr169Kg03rVq1iv79+1f5mH79+lU6f+XKlfTu3VveCC7CkRszFp63h4cjVhvZVUx3uG+dttU9aPvRfH4VnEl2bbtqQBJ2HWznNzB3VNmO0PFw3xpoPbjelz14No/dJ3Mw6BRGd5VVRg1K77vg+o+0Ipo7vkS35CHem9CVDk2COZdbzH1fba/w5U/Yl8NXG02fPp3PP/+cL774gj179vD4449z7Ngxpk2bBmjTPnfeeaft/GnTpnH06FGmT5/Onj17+OKLL5g9ezZPPPGEo5vqsQwOLFJnTdb10Wu75Lo9nwAY/S+4dQEERMKZ3fDpUK1qqoO2T7CHIN+y4EWWW9qX2QRLn4IfH9SKjXUcA1NXaSuL7OCz9YcBGNy+MeEOmFIVbq7HbTD+M1D0sOu/BP08jc/v6E54oA+JJ7N58vtdtrQHYV8OD14mTpzI+++/z6uvvkqPHj1Yv349S5cupWXLlgCcPn26Qs2X1q1bs3TpUtauXUuPHj147bXXmDlzJjfeeKOjm+qxjGVBhckBH87WkRc/B20N4DAdroEHN0G7EWAu1pY3fnMT5FadKO5qsreRA+Sdg6+ugy2faLeHPAM3f33RHaFra8OBNBZsOw5gq7gqGqCuN8HNX4LOCEmLiP31QWbd0hmDTtsDada6w65uoVdyyifSgw8+yJEjRyguLmb79u0MHlw+XDt37lzWrl1b4fwhQ4awY8cOiouLSUlJsY3SiKpZR15UFbvXGSiyBS9uPmVUlaAoreDYqHfA4AeHftX2R3LDXapDZNrIvk7ugE+HlBeeu+W/MOzZaneEro384lKeXvgXAJP7teTy1uF2ua5wD0lpSUxdMZWktKSaPaDTWLjlG9D7wt6fuXzLo7wyui0AX2xMcWBLGy4P+zotqmItUgf2H32xBi/23hrAaRQFLr9Xy4WJ7gqFGdou1T88BMW5rm6djXXkJa+4VIaZ62vnPPjiGsg5qe2Jde9v0HGUXZ/i7eV7OZlVSLMwf566pqNdry1cb8mhJWxJ3cJPh2vxRaf9SLjtWzD4w4GV3HLgCfwp4lxuMRn5JY5rbAMlwYsXMJ73bdLeeS+FJVow5BbVdesjqiPc8ysMeBRQIGEefDwAjm5ydcuA8oRds0WlQJL86sZUBEv+D358SJsqbH8t3PsrNG5v16f583A6X206CsDbN3Yj0NcpFSeEg53KO0VSehLJ6cksP7IcgGUpy0hOTyYpPYlTeacufZE2V8Id34NPEPoj6/hvwDsEUsj+M+7zRclbyP86L3B+Iq29gxfryIuvpwcvoG2yN/xVaDcSFk+DrKPaCpQBj8HQZ7WN2FwkwEePXqdgtqjkFpXKB2JtZR7Rdv49vUtb/THsORg43W7TRFaFJWbbdNGtl8cysF2kXa8vXGfkwpGVjmUUZTDx54m224mTEy99oVYDtT3Y5t1Ij+Jk5vnMYN+J9vSNq1zqQ9SdjLx4AaMDp42sCbv+npawW51WA+CBjWW7xVpgw7vw2ZWQuttlTVIUxbbiKK9YknZrZf8K+GSwFrgERMAdi2DwE3YPXAD+tXIfR9ILiA7x49lRnex+feE6MwbNQK9U/SVNr+iZMWhGzS8WezlMXkKhIYSeuoMM/uNuyE+zU0sFSPDiFRRFsY2+OGrkxSMTdqvjFwI3fKytPgmIgDOJ2pLq3//lsl2qrcFLjiTt1ozZBCufh/k3Q1E2NO8D96+HNvatMm217UgGs8uSL98c34UQP6k75U3GxI1h/uj5Vd43f/R8xsSNqd0Fm/Zk06CvOKeG0LToAMwZBTmn7dBSARK8eA2Ddbm0nXeWtiXselvwYhU/Dh7cDB1Gg8UEv76q7VKd5tj9haoihepqIfOolpT7x3+025ffD1OWQmh9Cv1fXEFJKU/8bxeqCjde1pwrO1ZdIVx4BwWlwp91FdO+FzeXvEQqEZC2D+Zco712Rb1J8OIljNZCdXZeKl3o7cELaEuqb/kGrp8FvqFwcpuWzLvhfaeOwoRIrZeaSV4CswZp/05+oTBxHoz6h0Nzlv6xvHy66MWx8Q57HuFa4X7hRPhFEB8Rzwt9XyA+Ip4IvwjC/eq2FD6ucSDHlKbcVPwipaEttdysOde65MuRt5GsQC9hXS5daveRF+16XpGwWx1FgR63QutBsOQRrSbM6pcg+Ue47kNo4vgPLBl5uYSSfFjxHGyfo91u3gdu+gLCWjj0aTcdSmfuH0cAePumboT6y3SRt4oOjGblTSsx6owoisKE9hMwWUz46OsWGPsa9LSODOTg2cZsHfYN/TbcDWn7tVHDSYu0LU1EncjIi5cwlCUnmuy9VLohjLycL7Q53LEQrvtIG4U5tUNLBl33Dyh1bK2G8uBFRl4qObFdG22xBi4DHoW7ljk8cMkrLuXJ73cBcOvlLRjSvrFDn0+4no/eB0UpmzZSlDoHLlYdmgQDsDsnUHvNxnSHgjSYOwaO/lHv9jZUErx4ifLNGR2T8+Jx2wPUh6JAz9vhoT+1WiEWE6x5Qwtijm122NOWbxEgIy825lJY+zbMHg4ZhyCkGdy5RFvyrnf8CMibS/dwIlMrRvfcaFldJGqvfVnwsu9MLgRGwuSfoOUAKM6Br8fD/pUubmH1ktOTmZ07m+R099rgtgF9Ink3g4N2lvb6hN3qhMTArf+FG2drmzye26Ml8/70GBRm2f3pgmTaqKJz+7T+XvsmqGbocpO2xD1uiFOefv3+c8z/U9t37Z8TutlWgwlRGx2itb20bIXq/EK10d12I6G0EL69FRK/d2ELq/dzys+kmFP4JeUXVzelAglevIS1yq79l0prIzlet1S6phRF23jt4a3Q8w7t2PY58EEf7Q3HjqX8JeeljNkE6/8JswZqSbm+oTD+c7hpNvg3ckoTMvNLeOJ/2nTR5H4t6d9GitGJurGOvOw/k1u+95zRX1sk0HUCWEph4T2weZYLW1nR+dWGVxxdAcCKoytqV23YweSrhJdwVMJuYVmpej9P3dvIXgLCtcTd7rdqIy/pB2DhVNg2R1vp0qRzvZ9CdpZGKzT340OQWlbJtN1IGPMehDZzWhNUVeXvixM5m1tMXONAnrlWpotE3bWMCMTHoKPIZOF4ZgEtIwK1O/RGuOFT8AuDrZ/B8qchLxWuekn70uRCVVYbLq5DtWEHkpEXL2FL2JWl0o7VaqA2dTHsOW0DtqMbtETSpU9BYWa9Lt2gd5YuzoWVL8Cnw7TAxb8RjP8Mblvg1MAFYOGOkyzbnYpBp/DviT09d1NS4Rb0OoV2UdrU0b7UC/Y40ulg1D/hyhe02xvegx8e1EYfXciu1YYdRIIXL+G4pdINMGH3Ugy+MOQpeHgLxF+n5WNs+QT+0wu2fFbnNx7btFFD2h5AVWH3QvjgcvhjptaX8dfBQ1ug281O/wZ6PKOAl5ckAfD48PZ0bR7q1OcX3qnDeVNHlSiKtp3FuA9A0cOu+fDfW6E4z8mtLGf3asMOIJ9IXqK8wq4k7DpNWAu4+Su480eI7AAF6bD0CfjwCq2QWi3zYRrcaqNz++Cr6+D7uyH3FDRqBbd9p/VpUJTTm2O2qEz/LoG84lJ6t2zEtCFtnN4G4Z3aR1tXHFUTkFw2CW6Zr43oHlylbRrrBtsJ2KvasL1J8OIlDLYKu44pUtdgE3ZrIm6oNpU0+l8Q2Fhb0vvdJJg9olZ1HBpMwm7uGfj5cfioH6SsA4MfDP07PPgntK881+4ss9YdYuuRTIJ8Dbw3sUeF3dqFqA/byMuF00aVTrwGJi/R9ls7vQs+vxrOJDmhhZVZqw13Cu/EOP9xdArvVK9qw/YmCbtewlbnxUFF6iR4uQS9EfrcA90mwsaZsOkDOLFFKwXeejAMfRZa9q/2ErZdpb01eCnO1fYi+uMDMOVrxzqMgpFvQnhrlzZt57FM3lu1H4CXx3UmNjzApe0R3sU68nLoXB4lpRZ8DNWMG8ReDveshm9u1hYGzB4JN8+Ftlc7p7FlrNWGMcOyZct4aeRLoKfeRfvsRUZevER5hV3ZmNGlfIPhyufg/3ZAr7tAZ4SU9VoQM3cMHNlw0ekk67RRidli63evUJKvBSwze8K6t7XApVlvbSPFW//r8sAlu9DE//13J6UWldHdYrjxMucmCAvv1zTUjyBfA6UWlSPp+Zd+QHgcTF0JLQdCSa4WyGyd7fiGXsDe1YbtSYIXL2F0UJG6QknYrZuQGBj7PjxyXhBz5HeYO1obCt69qNKmj+cXQfOKqaPCLFj3T3ivC6x8DvLPQXgbmPCl9s2y1QBXt1BbFr0okROZhcSG+zNjfFfbm7UQ9qIoCu2bXGTF0cUEhMOkxdDtFi2R/Zfp8PN0h29T4inkE8lLGGxF6hw08iLLResmrEVZELNTC2L0Plrhte/vgpk9tBGJomxAW1JpDWA8utZL5lFY9RK83xXWvA6FGdo3yXH/0bZc6Hy9y+tYWP13y3F+STyNQafwn1svs+3sLdyfu5atv5gO0dWsOLoYgw/cMKtsKbUC22bD19dD3jmHtNGTSPDiJaxLpe252qjUbLFdz88gwUu9hMVqQczjSTDkGS0hL/u4NiLxTgdYdD8c2UCwr9bPjhh5+f1AGvuyFFQ7VgW2sVjgwCqYPxH+3R02vq/t3RIVr22v8NBWuOxOp+xHVFN7U3N45SctGfKpazrQIzbMtQ0SteKuZesvxrbHUU1HXqysS6lv/RZ8guHoRvh0qJbQ24BJwq6XMJatNjLbcdqoqLR8FEdGXuwkKAqGPQsDH4O/voPNH2t7Jv31Lfz1Ld/ropmvH4zpbBTE9rHb0+5NzeHur3YAen79cBMPDmvL6K4xtlVqdXZuPyQtgl3/hcwj5cdbD4Er7tc2ttS533ekgpJSHp6/k+JSC0M7NOaegXGubpKogVN5p8gszkRBqVC2/vr216Oi0si3EU2Dmrq4lVWrttZLjS5wDdz7m7YXUvpBLZF3zLvQ4zY7ttJzSPDiJWx1Xuy4VPr8pFHf6rLjRe0Z/aHXZG004sQ22Pk17F5Is5JUnjR+Bz99B392hk5jtZ8mnes11fLrnrO2v+87k8ej3ybwzxX7uHdQHDf2al67TQfTD0Hyj1rezpnzSoT7hmq7cfe+GyLb1bmtzjBn4xEOns0jKtiXf03ojk6WRXsETyhbfzHWFUdHMwooLDHX7Qth4/Zwz6/aXkgHV8EPD8CRjVqVXp+GtUJOghcvYavzYsdpI9u+RkadJDE6iqJoIyyxfeCaGcz/4t80P7mU/vpkDGeT4GwSrHsLQppD60HQapD2Z1iLWj3N+v3aHPmoWDMd2nfgq83HOJFZyEtLkvjH8r1c17MZt13egi7NqqgoW5iprZg6tAYO/QZZR8vv0xmgzZXQeTzEjwOfwPr0htP8mZIBwEPD2hIR5Ovi1oiamjFoBs9veB6zWnk1nl7R8/rA113QqpqJDPIlItCH9PwSDp7Nq3v1Zv8wrZjj7//SdlxPmAcnt8PNX0LjDnZtszuT4MVLWEde7JmwK8ukncwnkKG3PM4ds/uTfu4M4/z/4m+xewk7+TvknNCmZnb9Vzs3rAXEdIcmXSG6izYyE9qiyima3CIT249q+y71ilS5c2gc9w1py3fbjjP3jyOkpOUz/89jzP/zKAOb6ZncJp/+AScITE+C1L8gbT+o572udAatZk2XG6HTOG1VhAdRVZW/TmQB0LNFmEvbImpnTNwY4kLjKoy0WM0fPZ/4iHgXtKrmOsYEs/FgOl9vPsLbN3ar+5dCnQ6GPAktrtBGYc7t0fJgRv9L2zy2AXzZlODFS9gSdu2Z8yLVdZ2uaZg/30/rz11ztvD1iSC+TxnEp7e+yyDfQ5Dyu7bc+uQOyDqm/ez5qfzBeh8IjoGQZhDSFIKjwehPakYpk5Vz+AcH0ie3AN2mg/ibi5lsKuDOdtlkBadQlH6MkOJUAtOLIb2KhkV2gDbDIG6YtsTZN9hpfWJvxzMKySow4aPX0TE6xNXNEXWkoKCi2v70BNOGtGHToXS+23aCbs3DuKNvy/pdsPVgmLZBC2BS1mnTSPuWwpj3ITDSLm12VxK8eAmj3v5LpWVHadcID/Rh/r19mTZvO78fSOOueUm8M6E71199pXZCca42TJy6G87s1v48txfMJdqUzvnTOkA74AUjYAJOlP2UUYBG598Azuii2GlqyW5LK3arrUhWWxNNS/oRQX8lkj6KP548u55QNurSKSa4+kqnwi1Zy9Y3CWhC28K2HPQ/yJmCM25Ttr46g9o15smRHXl7+V5eXpJEh+hg+rSqZ7uDorR6MBvehbVvaV9ojm2GsTOh4yj7NNwNSfDiJRyxMaN12shXghenC/Q1MHtyH/72v138tOsUjy1IICUtn8eubofiG6ztpxQ3tPwBZhPkpkLOKcg5qf2ZdwbVVMgvOw5jLimkb6w/pQU5xLRog84nUEvw8wmG0GYQ2hxCYyGkGU2MfnRKzyclMZX0xNOcPZnN2RPZ/HUim0/WHcaoV7j9ipa8PK6zq7qnXv46ngVAd1ka7ZHcvWz9pUwbEsfuU9n88tdpHpi3g5/+bwAxof71u6hOD4OfhHYjtLIL5/Zoq5J63K5tv+EfZpe2uxMJXryEIzZmLB95kW+nruBj0PHviT2ICfXj0/WH+fevBzicls8/b+pWeSpPb9RqyYTFVjh8JC2fh39fi1GvsPW2YWz+dSWjRo1CZ6y+3krLiEAeGNqGB4a2ITW7iE2H0/jjYDp/HErnZFYhX28+yvOjO9V/qbUL7CobeenWPMyl7RB156P3wWTRCjkqioLRjeoHXYqiKPzzpm4cOpvH3tRcpn29nQX396vX9LzFovL+6v00Dgnj9nvXoFv7praPWMI3cGAljHgDut3sVbkwnvfOI6pktCXs2n/kRWq8uI5Op/D3UZ14+8auGHQKP+06xS2fbuZsblGNHm9dZdSrZSMCa7Mc+jzRoX7c0LM5/5zQnd+fGoaPQYfZonI6u2ZtcCelZgu7T+YA0CO2jqs9hKinAB8Dn07qTai/kV0nsnlu8e56FY/cnJLOzN8O8sIPu5kyL5G0/s/DXUshsr22Lcfi++DLsXBunx1/C9eS4MVLWL8BO2LaSKrrut7EPi34aurlhPobSTiexQ0f/kHiiexLPs4avAxpH2WXduh0Cs3DtCHu4xkFdrmmMx04m0ehyUyQr4G4yCBXN0c0YC0iAvjgtp7oFFi44wQfrztU52ut3Ve+XcD6/ecY9e/f+cPUHqZthKteBIO/luz/8QBY+YJW/sDDSfDiJco3ZrTjtJG1zouMvLiF/m0i+eGhAcRFBnIyq5AbP/6Db/48etFvbCWlFjYd1pYODW5vv5UHzcO1dN0TmYV2u6azWJdId2kWIoXphMsNateYl8ZquWP/WL6PpYmn63Sd3/ZqRSgfvaod7aKCOJtbzO2z/+Td31Io7f84PLQZ2l8DFhP8MVPbwuP3d6HE876AWEnw4iVsdV4csD2AjLy4j9aRgSx+aABXd2pCidnCc4t3M/27XRSUVN4LadvRDApKzEQG+dLJjkuCYxuVjbxket4b366y0SpJ1hXuYnL/Vkzp3wqAxxckkFCWUF5TxzMKOHg2D71O4e4BrVny8EAm9o5FVWHmbwe54aM/2FMUDrct0IrbRcVrm8H++grM7AlbP4fSYvv/Yg4mwYuXMDhiqXSJNedFXibuJNTfyGd39uLZazui1yks3nmS6z7YyIEL9kxZVzZlNLhdpF1HGZo30kZePHHaaJd1pZEk6wo38vzoTgzr0JjiUgv3fLmNE7X4YrBmnzbq0qtFI0IDjPj76Hn7pm7MvLUnIX4GEk9mM/Y/G3hv1X5K4oZrdWFu+FQrdJmXCr/8Dd7rAuv+AflpjvoV7U4+lbyEbdrInjkvpVLnxV0pisL9Q9rw33v7EhXsy4GzeYz5zwY+//0wlrLRt/X7tTeiIR0a2/W5Y8O1kRdPmzYqMpltO/rKyItwJwa9jv/cdhkdo4NJyytm6txt5BaZavTYNWVTRsM6VsxrG9e9KaunD2Fk5yaUWlT+/esBxv5nAztP5ED3ifDwdrj2n1pRy/yzsOYNeK8zLHlEqx3l5iR48RKGsrLwdq2wa9vbSIIXd3V563CWPjqIwe21b22v/7KHWz7bzPajGew5nYOiwMC29q20GWsdefGwaaOkUzmUWlQig3xoGurn6uYIUUGQr4EvpvShcbAv+87kcu9X2ypsjluVwhIzfxzS8tqGdaz8JSUqxI9Zd/Tig9t6EhHow74zudzw0R9MX5DA6XwzXHEfPLoLbpwNTXtCaRHs+BJmDYCP+mn7J2Udc8jvW18SvHgJg97+extZ67xI8OLeIoN8+fKuPrxxQxcCfPRsScngxo83AdClaajdNx6MLUvYPZNTfMk3V3fy13n1XWSjUeGOmob5M2dKH4J8DWw+nMGj3+6s9j198+F0ikstNA31o0OTqrfsUBSFMd2asmr6EMZf1gyARTtPMuydtby3aj8FZgW63gT3roG7lmv7lel94Gwy/Poqxg8vo8Ou19j61bMkb15OSbF7lEhwaPCSmZnJpEmTCA0NJTQ0lEmTJpGVlVXtY6ZMmYKiKBV++vbt68hmegXryIt967zI3kaeQlG0qrfLHx3MFa3Ly40PaW/fKSOARgFGAspWoJ3M8pypo7+sybqS7yLcWJdmoXx6Zy989DpWJJ2ptgaMdZXR0I5RlwzIwwN9ePfmHvz40AD6tGpEkcnCv389wLB31jJnYwoFJjO07AcTv4Yn9pM38j32+l+GRVXoaDlA/+OfEb98IuY3Y9k9Yyibvvw7eTmuW3Lt0ODltttuIyEhgeXLl7N8+XISEhKYNGnSJR93zTXXcPr0advP0qVLHdlMr1C+MaPsbdSQtYgI4L/39uXlsfEM7dCYW69oYffnUBTFNnXkSXkv1mTdblKcTri5/m0imXmrVgNmwbbj/GNF5eJyqqraknWv7FDzOk7dY8P47v5+fHT7ZcSG+3Mmp5hXfkpmwFu/8e/VB8gqKOGXA0UMXh3LNZlPMMD0AV/43cW2oKGkE4q/UkKX4p30PPwpRh/7jurWhsO2B9izZw/Lly9n8+bNXHHFFQB89tln9OvXj3379tGhQ4eLPtbX15fo6GhHNc0rOSRh1ySrjTyRTqcwZUBrpgxo7bDniA33Z9+ZXI9ZcZRdaOJwWj4gIy/CM1zTJZo3b+jKM4sS+XjtIcIDfLh3cJzt/oNn8ziRWYiPQUf/thG1uraiKIzqGsOVHaNYuOMEn6w7zLGMAt5bvZ8P1xykpGyqqmN0MG/d0JejCcF0H/VPDHo9R/bt4MyuVVjy0+nn57otWh0WvGzatInQ0FBb4ALQt29fQkND+eOPP6oNXtauXUtUVBRhYWEMGTKEN954g6ioqiPL4uJiiovL16jn5Gilv00mEyZTzbK1L8b6+PpexylU7cVmKjXbrb2FZbVDDIpj+8Cj+tmD2bOfY8oSXo+m5XnEv9vOo1pSY/NG/gT7KPJ69gINoZ9v7BlDWm4R76w6wBtL96CqFu7q3xKA1cmpAFzRqhFGRa1TP+iBmy9ryvju0axIPssn61PYk5qLXqcwbXBrHhwSh6KaOUp5Pzdr251mbbsD9u/72lxPUeuzoUI13nzzTebOncv+/fsrHG/fvj133XUXzz77bJWPW7BgAUFBQbRs2ZKUlBReeOEFSktL2b59O76+lYeoXn75ZV555ZVKx+fPn09AgOuiQmc7kK3wQbKeJv4qf+9hnyTKd/7Sczxf4f6OZuIbOeRlIjzUmlMKPxzV0yPCwl3t7TdV6SirTir8fExPzwgLUzygvUJYqSosPa5j5UltBPz6lmaGNVX5T5KOgzk6xrcyMyTGPu/PqgqHcyHQANEu+PgsKCjgtttuIzs7m5CQ6gtr1nrk5WLBwvm2bt0KUGUCkaqq1SYWTZw40fb3Ll260Lt3b1q2bMkvv/zC+PHjK53/7LPPMn36dNvtnJwcYmNjGTFixCV/+UsxmUysWrWK4cOHY7zELryutu1oJh8kb8XPP5BRowba5ZozD26E/HwG9b+iQhKovXlSP3sye/azMfksPxxNwOIXxqhR7p9Q//P8BOAsI/t0ZNSAVg59Lnk9O0dD6udRqsq/fzvEh2sP88NRPc1bx3EkLwVQefD6IbSMcFyk4cx+ts6c1EStg5eHH36YW265pdpzWrVqxV9//cWZM2cq3Xfu3DmaNGlS4+eLiYmhZcuWHDhwoMr7fX19qxyRMRqNdutoe17LUfx8tPaZVdVubbWuNgry93XK7+8J/ewN7NHPLRtrmxqeyCpy+38zi0Xlr5PaSqOeLcKd1l55PTtHQ+nnJ6/phEGv59+/HuCDtYcBiIsMpG20cxLQndHPtbl+rYOXyMhIIiMvXfSqX79+ZGdns2XLFi6//HIA/vzzT7Kzs+nfv3+Nny89PZ3jx48TExNT26Y2KEa9/ZdKF5da67xIwq6oyFrrJSO/hPziUgJ9HZY+Vy+qqvLikt2cySnGz6ijSzNZaSQ81+PD26Mo8P5q7cv8hVV1GxKHfSp16tSJa665hnvvvZfNmzezefNm7r33XsaMGVMhWbdjx44sXrwYgLy8PJ544gk2bdrEkSNHWLt2LWPHjiUyMpIbbrjBUU31CgYH7iotS6UrS0pLYuqKqSSlJbm6KS4R4mck1F/7luSuy6VVVeXNpXuYt/kYigJvje/mtkGWEDX12NXt+fuojnRoEsytl9u/FIKncOhX6m+++YauXbsyYsQIRowYQbdu3fj6668rnLNv3z6ys7UhXb1eT2JiItdddx3t27dn8uTJtG/fnk2bNhEcXHX1QKGxbQ9gp5EXVVVtu0pL8FLZkkNL2JK6hZ8O/+TqpriMdY8jd10u/d7qA3z2ewoAb43vyvU9m7m4RULYx32D27Di8cG0jQpydVNcxqFfQ8LDw5k3b16155y/2Mnf358VK1Y4skley6Cz7/YAJrOKuWyfJF8JXgA4lXeKzOJMFBSWH1kOwLKUZYxrMw4VlUa+jWga1NTFrXSe5mEB7D6Z45Z7HH209iAzf9WG1l8eG8/EPg33G6oQ3kjGUL1EeYVd+4y8FJ63Z42MvGhGLhxZ6VhGUQYTfy5fIZc4OdGZTXKp8pEX95k2UlWVT9Yf5h/LtYqkz1zb0aHF+oQQriGZmF6iPGHXPiMvxWXBi04pr97b0M0YNAO9UnUgp1f0zBg0w8ktci1r0u4JNxl5sVhU3vhlD28t2wvAo1e1Y9qQNi5ulRDCEWTkxUtYp40sqvYmrtPVL+A4f18j2YFXMyZuDHGhcRVGWqzmj55PfES8C1rlOs0blY28uEHCbkmphae+38UPCacAeG5Upwql1IUQ3kWCFy9h0JcPopksFnx19ZvqsdZ48feRKaOqKCioqLY/GyLb5owZBZcsPulI+cWlPPDNDtbvP4dBp/DPCd24oWdzl7RFCOEcMm3kJc6f2rFHrRfryIuvQYKX84X7hRPhF0F8RDwv9H2B+Ih4IvwiCPdzXAVid9W8LHjJLS4lu9Ax+8tcakn6icwCbvl0M+v3n8PfqOfzyb0lcBGiAZCRFy9hXSoN9gleyneUluDlfNGB0ay8aSVGnRFFUZjQfgImiwkfvY+rm+Z0/j56IoN8SMsr4URmIWEB9u+D85ekd47sXOG+NfvO8viCBLIKTDQKMPLFlD70bNHI7m0QQrgfCV68xPkjLyY7FKqzjrxIdd3Kzg9UFEVpkIGLVfNGAaTllXA8o8Bu1WsvtSQ9xBjGgk15fLDmIADdmofy4W2X2RKIhRDeT4IXL6EoCnqdgtlSXp+lPoqkuq6ogdjwABKOZ9m11ktNlqTn7nkLgEl9W/L8mE4yvSlEAyNfq72IdcWRyQ7LpYts+xrJh4K4uNiyFUf23CKguiXpqqqj8OREAnz0zLy1J69d30UCFyEaIBl58SJGvY7iUot9EnZLtABIghdRHWvSrj23CKhuSXrBkYfoHtWZf97UjbZRsmWIEA2VBC9exJ6bMxaZZNpIXJqtyq7Dar0ogIqqKiiKysPD2vLYoP71rmMkhPBsErx4kfJpI/stlZaEXVEdW62XTPvWejmZpkMxB1NaEoopqw9RTRMw+ORwW+94CVyEEBK8eBPrcmm7LpWWkRdRjZgwPxRFK2qYlldC42Dfel2vpNTCv3/dz8drD2HhaWJCAvnXhB70axPRYJekCyEqk+DFi5Rvzmi/aSPJeRHV8TXoiQ7x43R2EcczC+ocvOQUmfh9fxofrT1I0qkcAMZf1pKXx3UmxM8IIIGLEMJGghcvUr45oz2njSR4EdWLbRTA6ewiFu84iaqqdIgOIci3+reW7EITR9Pz2Xw4nd/2nmXbkUxKy5b4Nwow8uYNXbm2a4wzmi+E8EASvHgRa86LPXaWlr2NRE21iQpky5EMvt58lK83HwWgVUQA0aF++Bj0+Oh1+BgUVBVOZhVyLKOArILK2wm0aRzI1Z2aMHVga6JC/Jz9awghPIgEL17EujmjyQ5F6mwjLwZJ2BXVe/zq9oQH+pB0Koc9p3M4k1PMkfQCjqRXv3w6MsiHTjEhXNUxiis7NqFFhFTIFULUjAQvXsS6RYA9Rl6KZW8jUUNRIX48ObKj7XZ6XjF7U3PJyC+hpNRCidlCSakFi6rSNMyflhEBxDYKIPASU0tCCHEx8u7hRWzTRvYceZGcF1FLEUG+DGhbv1VHQghRHZkT8CIGeybslkjwIoQQwj1J8OJFjHatsFuWsCvBixBCCDcjwYsXsRaps0eFXanzIoQQwl1J8OJF7LtUWirsCiGEcE8SvHiR8gq7sreREEII7yWfTF6kPGG3/iMvstpICCGEu5LgxYsYbdNG9Rt5UVXVlrArwYsQQgh3I8GLFymvsFu/kZfi0vLHS5E6IYQQ7kaCFy9SXmG3fiMv1mRdkO0BhBBCuB/5ZPIi1qXS9c15sea7GPWKbTRHCCGEcBfyyeRF7LXaSPJdhBBCuDMJXryIsWyUxFzP4EW2BhBCCOHOJHjxItYidSY7TRtJgTohhBDuSIIXL2KvjRmLJXgRQgjhxiR48SK2Oi/1XCot1XWFEEK4M/l08iL6soTdghLzJc6sniTsCiGEcGcGVzdA2E9AWbDxY8Ip9p/J4/oeTRnXoykxof41vkZ+cSl7TucAErwIIYRwTxK8eJHR3Zqy6XA6v+09y57TOew5ncNby/fSrXkY7aOCiGscRFzjQFpHBmJRVfKKSsktLiW/uJT9Z/L442AaCcezKC1brRQWYHTxbySEEEJU5tDg5Y033uCXX34hISEBHx8fsrKyLvkYVVV55ZVX+PTTT8nMzOSKK67gww8/pHPnzo5sqldoHOzLJ5N6k5lfwtLdp/lx5ym2HMlg1/Esdh3PqvF1mjfyZ0CbSB4c1sZxjRVCCCHqyKHBS0lJCRMmTKBfv37Mnj27Ro/5xz/+wbvvvsvcuXNp3749r7/+OsOHD2ffvn0EBwc7srleo1GgD7df0ZLbr2jJicwCEo5ncehsPofT8jh8Lp+j6fn4GHQE+hoIKvuJDvWjb1wEA9pE0iIiwNW/ghBCCHFRDg1eXnnlFQDmzp1bo/NVVeX999/nueeeY/z48QB8+eWXNGnShPnz53P//fc7qqleq3mjAJo3kmBECCGE93Cr1UYpKSmkpqYyYsQI2zFfX1+GDBnCH3/84cKWCSGEEMJduFXCbmpqKgBNmjSpcLxJkyYcPXq0yscUFxdTXFxsu52To62UMZlMmEymerXH+vj6XkdUT/rZOaSfnUP62Tmkn53Dmf1cm+eodfDy8ssv26aDLmbr1q307t27tpe2URSlwm1VVSsds5oxY0aV7Vm5ciUBAfaZLlm1apVdriOqJ/3sHNLPziH97BzSz87hjH4uKCio8bm1Dl4efvhhbrnllmrPadWqVW0vC0B0dDSgjcDExMTYjp89e7bSaIzVs88+y/Tp0223c3JyiI2NZcSIEYSEhNSpHVYmk4lVq1YxfPhwjEZZNuwo0s/OIf3sHNLPziH97BzO7GfrzElN1Dp4iYyMJDIysrYPq5HWrVsTHR3NqlWr6NmzJ6CtWFq3bh1vv/12lY/x9fXF19e30nGj0Wi3jrbntcTFST87h/Szc0g/O4f0s3M4o59rc32HJuweO3aMhIQEjh07htlsJiEhgYSEBPLy8mzndOzYkcWLFwPadNFjjz3Gm2++yeLFi9m9ezdTpkwhICCA2267zZFNFUIIIYSHcGjC7osvvsiXX35pu20dTVmzZg1Dhw4FYN++fWRnZ9vOeeqppygsLOTBBx+0FalbuXKl1HgRQgghBODg4GXu3LmXrPGiqmqF24qi8PLLL/Pyyy87rmFCCCGE8FhuVedFCCGEEOJSJHgRQgghhEeR4EUIIYQQHkWCFyGEEEJ4FAlehBBCCOFRJHjxMklpSUxdMZWktCRXN0UIIYRwCAlevMySQ0vYkrqFnw7/5OqmCCGEEA7hVrtKi7o5lXeKzOJMFBSWH1kOwLKUZYxrMw4VlUa+jWga1NTFrRRCCCHsQ4IXLzBy4chKxzKKMpj480Tb7cTJic5skhBCCOEwMm3kBWYMmoFe0Vd5n17RM2PQDCe3SAghhHAcGXnxAmPixhAXGldhpMVq/uj5xEfEu6BVQgghhGPIyIuXUVAq/CmEEEJ4Gxl58RLhfuFE+EUQHRjN+HbjWXRgEan5qYT7hbu6aUIIIYRdSfDiJaIDo1l500qMOiOKojCh/QRMFhM+eh9XN00IIYSwKwlevMj5gYqiKBK4CCGE8EqS8yKEEEIIjyLBixBCCCE8igQvQgghhPAoErwIIYQQwqNI8CKEEEIIjyLBixBCCCE8igQvQgghhPAoErwIIYQQwqNI8CKEEEIIjyLBixBCCCE8igQvQgghhPAoErwIIYQQwqNI8CKEEEIIjyLBixBCCOEESWlJTF0xlaS0JFc3xeNJ8CKEEEI4wZJDS9iSuoWfDv/k6qZ4PIOrGyCEEEJ4q1N5p8gszkRBYfmR5QAsS1nGuDbjUFFp5NuIpkFNXdxKzyPBixBCCOEgIxeOrHQsoyiDiT9PtN1OnJzozCZ5BZk2EkIIIRxkxqAZ6BV9lffpFT0zBs1wcou8g4y8CCGEEA4yJm4McaFxFUZarOaPnk98RLwLWuX5ZORFCCGEcAIFpcKfou5k5EUIIYRwoHC/cCL8IogOjGZ8u/EsOrCI1PxUwv3CXd00jyXBixBCCOFA0YHRrLxpJUadEUVRmNB+AiaLCR+9j6ub5rEkeBFCCCEc7PxARVEUCVzqyaE5L2+88Qb9+/cnICCAsLCwGj1mypQpKIpS4adv376ObKYQQgghPIhDg5eSkhImTJjAAw88UKvHXXPNNZw+fdr2s3TpUge1UAghhBCexqHTRq+88goAc+fOrdXjfH19iY6OdkCLhBBCCOHp3DLnZe3atURFRREWFsaQIUN44403iIqKqvLc4uJiiouLbbdzcnIAMJlMmEymerXD+vj6XkdUT/rZOaSfnUP62Tmkn53Dmf1cm+dQVFVVHdgWQBt5eeyxx8jKyrrkuQsWLCAoKIiWLVuSkpLCCy+8QGlpKdu3b8fX17fS+S+//LJthOd88+fPJyAgwB7NF0IIIYSDFRQUcNttt5GdnU1ISEi159Y6eLlYsHC+rVu30rt3b9vt2gQvFzp9+jQtW7bk22+/Zfz48ZXur2rkJTY2lrS0tEv+8pdiMplYtWoVw4cPx2g01uta4uKkn51D+tk5pJ+dQ/rZOZzZzzk5OURGRtYoeKn1tNHDDz/MLbfcUu05rVq1qu1lLyomJoaWLVty4MCBKu/39fWtckTGaDTaraPteS1xcdLPziH97BzSz84h/ewczujn2ly/1sFLZGQkkZGRtX1YnaWnp3P8+HFiYmKc9pxCCCGEcF8OXSp97NgxEhISOHbsGGazmYSEBBISEsjLy7Od07FjRxYvXgxAXl4eTzzxBJs2beLIkSOsXbuWsWPHEhkZyQ033ODIpgohhBDCQzh0tdGLL77Il19+abvds2dPANasWcPQoUMB2LdvH9nZ2QDo9XoSExP56quvyMrKIiYmhmHDhrFgwQKCg4Md2VQhhBBCeAiHBi9z5869ZI2X8/OF/f39WbFihSObJIQQQggP59BpIyGEEEIIe5PgRQg3kpSWxNQVU0lKS3J1U4QQwm1J8CKEG1lyaAlbUrfw0+GfXN0UIYRwW265PYAQDcmpvFNkFmeioLD8yHIAlqUsY1ybcaioNPJtRNOgpi5upRBCuA8JXoRwsZELR1Y6llGUwcSfJ9puJ05OdGaThBDCrcm0kRAuNmPQDPSKvsr79IqeGYNmOLlFQgjh3mTkRQgXGxM3hrjQuAojLVbzR88nPiLeBa0SQgj3JSMvQrgRBaXCn0IIISqTkRch3EC4XzgRfhFEB0Yzvt14Fh1YRGp+KuF+4a5umhBCuB0JXoRwA9GB0ay8aSVGnRFFUZjQfgImiwkfvY+rmyaEEG5Hghch3MT5gYqiKBK4CCHERUjOixBCCCE8igQvQgghhPAoErwIIYQQwqNI8CKEEEIIjyLBixBCCCE8igQvQgghhPAoErwIIYQQwqNI8CKEqJektCSmrphKUlqSq5sihGggJHgRQtTLkkNL2JK6hZ8O/+TqpgghGgipsCuEqLVTeafILM5EQWH5keUALEtZxrg241BRaeTbiKZBTV3cSiGEt5LgRQhRayMXjqx0LKMog4k/T7TdTpyc6MwmCSEaEJk2EkLU2oxBM9Ar+irv0yt6Zgya4eQWCSEaEhl5EULU2pi4McSFxlUYabGaP3o+8RHxLmiVEKKhkJEXIUS9KCgV/hRCCEeTkRchRJ2E+4UT4RdBdGA049uNZ9GBRaTmpxLuF+7qpgkhvJwEL0KIOokOjGblTSsx6owoisKE9hMwWUz46H1c3TQhhJeT4EUIUWfnByqKokjgIoRwCsl5EUIIIYRHkeBFCCGEEB5FghchhBBCeBQJXoQQQgjhUSR4EUIIIYRHkeBFCCGEEB5FghchhBBCeBQJXoQQQgjhUSR4EUIIIYRHkeBFCCGEEB7F67YHUFUVgJycnHpfy2QyUVBQQE5ODkajsd7XE1WTfnYO6WfnkH52Duln53BmP1s/t62f49XxuuAlNzcXgNjYWBe3RAghhBC1lZubS2hoaLXnKGpNQhwPYrFYOHXqFMHBwSiKUq9r5eTkEBsby/HjxwkJCbFTC8WFpJ+dQ/rZOaSfnUP62Tmc2c+qqpKbm0vTpk3R6arPavG6kRedTkfz5s3tes2QkBD5z+EE0s/OIf3sHNLPziH97BzO6udLjbhYScKuEEIIITyKBC9CCCGE8CgSvFTD19eXl156CV9fX1c3xatJPzuH9LNzSD87h/Szc7hrP3tdwq4QQgghvJuMvAghhBDCo0jwIoQQQgiPIsGLEEIIITyKBC9CCCGE8CgSvFzERx99ROvWrfHz86NXr178/vvvrm6SR5sxYwZ9+vQhODiYqKgorr/+evbt21fhHFVVefnll2natCn+/v4MHTqUpKQkF7XYO8yYMQNFUXjsscdsx6Sf7ePkyZPccccdREREEBAQQI8ePdi+fbvtfunn+istLeX555+ndevW+Pv7ExcXx6uvvorFYrGdI/1cN+vXr2fs2LE0bdoURVH44YcfKtxfk34tLi7m//7v/4iMjCQwMJBx48Zx4sQJ5/wCqqjk22+/VY1Go/rZZ5+pycnJ6qOPPqoGBgaqR48edXXTPNbIkSPVOXPmqLt371YTEhLU0aNHqy1atFDz8vJs57z11ltqcHCwunDhQjUxMVGdOHGiGhMTo+bk5Liw5Z5ry5YtaqtWrdRu3bqpjz76qO249HP9ZWRkqC1btlSnTJmi/vnnn2pKSoq6evVq9eDBg7ZzpJ/r7/XXX1cjIiLUn3/+WU1JSVH/97//qUFBQer7779vO0f6uW6WLl2qPvfcc+rChQtVQF28eHGF+2vSr9OmTVObNWumrlq1St2xY4c6bNgwtXv37mppaanD2y/BSxUuv/xyddq0aRWOdezYUX3mmWdc1CLvc/bsWRVQ161bp6qqqlosFjU6Olp96623bOcUFRWpoaGh6qxZs1zVTI+Vm5urtmvXTl21apU6ZMgQW/Ai/WwfTz/9tDpw4MCL3i/9bB+jR49W77777grHxo8fr95xxx2qqko/28uFwUtN+jUrK0s1Go3qt99+azvn5MmTqk6nU5cvX+7wNsu00QVKSkrYvn07I0aMqHB8xIgR/PHHHy5qlffJzs4GIDw8HICUlBRSU1Mr9Luvry9DhgyRfq+Dhx56iNGjR3P11VdXOC79bB9Lliyhd+/eTJgwgaioKHr27Mlnn31mu1/62T4GDhzIr7/+yv79+wHYtWsXGzZsYNSoUYD0s6PUpF+3b9+OyWSqcE7Tpk3p0qWLU/re6zZmrK+0tDTMZjNNmjSpcLxJkyakpqa6qFXeRVVVpk+fzsCBA+nSpQuArW+r6vejR486vY2e7Ntvv2XHjh1s3bq10n3Sz/Zx+PBhPv74Y6ZPn87f//53tmzZwiOPPIKvry933nmn9LOdPP3002RnZ9OxY0f0ej1ms5k33niDW2+9FZDXs6PUpF9TU1Px8fGhUaNGlc5xxmelBC8XoShKhduqqlY6Jurm4Ycf5q+//mLDhg2V7pN+r5/jx4/z6KOPsnLlSvz8/C56nvRz/VgsFnr37s2bb74JQM+ePUlKSuLjjz/mzjvvtJ0n/Vw/CxYsYN68ecyfP5/OnTuTkJDAY489RtOmTZk8ebLtPOlnx6hLvzqr72Xa6AKRkZHo9fpKkePZs2crRaGi9v7v//6PJUuWsGbNGpo3b247Hh0dDSD9Xk/bt2/n7Nmz9OrVC4PBgMFgYN26dcycORODwWDrS+nn+omJiSE+Pr7CsU6dOnHs2DFAXs/28uSTT/LMM89wyy230LVrVyZNmsTjjz/OjBkzAOlnR6lJv0ZHR1NSUkJmZuZFz3EkCV4u4OPjQ69evVi1alWF46tWraJ///4uapXnU1WVhx9+mEWLFvHbb7/RunXrCve3bt2a6OjoCv1eUlLCunXrpN9r4aqrriIxMZGEhATbT+/evbn99ttJSEggLi5O+tkOBgwYUGmp//79+2nZsiUgr2d7KSgoQKer+DGl1+ttS6Wlnx2jJv3aq1cvjEZjhXNOnz7N7t27ndP3Dk8J9kDWpdKzZ89Wk5OT1ccee0wNDAxUjxw54uqmeawHHnhADQ0NVdeuXauePn3a9lNQUGA756233lJDQ0PVRYsWqYmJieqtt94qSx7t4PzVRqoq/WwPW7ZsUQ0Gg/rGG2+oBw4cUL/55hs1ICBAnTdvnu0c6ef6mzx5stqsWTPbUulFixapkZGR6lNPPWU7R/q5bnJzc9WdO3eqO3fuVAH13XffVXfu3GkrCVKTfp02bZravHlzdfXq1eqOHTvUK6+8UpZKu9qHH36otmzZUvXx8VEvu+wy25JeUTdAlT9z5syxnWOxWNSXXnpJjY6OVn19fdXBgweriYmJrmu0l7gweJF+to+ffvpJ7dKli+rr66t27NhR/fTTTyvcL/1cfzk5Oeqjjz6qtmjRQvXz81Pj4uLU5557Ti0uLradI/1cN2vWrKnyPXny5MmqqtasXwsLC9WHH35YDQ8PV/39/dUxY8aox44dc0r7FVVVVceP7wghhBBC2IfkvAghhBDCo0jwIoQQQgiPIsGLEEIIITyKBC9CCCGE8CgSvAghhBDCo0jwIoQQQgiPIsGLEEIIITyKBC9CCCGE8CgSvAghhBDCo0jwIoQQQgiPIsGLEEIIITyKBC9CCCGE8Cj/D1pGERHo6qBqAAAAAElFTkSuQmCC", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ℳ = ModelMatrix([1 0.1; -0.1 1])\n", "\n", "nmax = 100;\n", "no = 10:5:nmax\n", "\n", "# observations\n", "yo = [randn(m) for n in no]\n", "\n", "# error covariance of the observations\n", "R = [0.1 * Matrix(I,m,m) for n in no]\n", "\n", "xai, = fourDVar(xi,Pi,ℳ,yo,R,𝓗,nmax,no);\n", "Q = zeros(size(Pi))\n", "xa, = FreeRun(ℳ,xai,Q,𝓗,nmax,no)\n", "\n", "#𝓗\n", "#𝓜\n", "xa3, = KalmanFilter(xi,Pi,ℳ,Q,yo,R,𝓗,nmax,no);\n", "# should be ~0\n", "@test xa[:,end] ≈ xa3[:,end] atol=1e-5\n", "time = 1:nmax+1\n", "\n", "plot(time,xa3[1,:],label=\"KF\")\n", "plot(time,xa[1,:],label=\"4DVar\")\n", "plot(time[no],getindex.(yo,1),\"*\";label=\"observations\")\n", "legend()\n", "grid(\"on\")" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2, 101)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "size(xa)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "search: \u001b[0m\u001b[1mf\u001b[22m\u001b[0m\u001b[1mo\u001b[22m\u001b[0m\u001b[1mu\u001b[22m\u001b[0m\u001b[1mr\u001b[22m\u001b[0m\u001b[1mD\u001b[22m\u001b[0m\u001b[1mV\u001b[22m\u001b[0m\u001b[1ma\u001b[22m\u001b[0m\u001b[1mr\u001b[22m\n", "\n" ] }, { "data": { "text/latex": [ "\\begin{verbatim}\n", "x,J = fourDVar(\n", " xi,Pi,ℳ,yo,R,H,nmax,no;\n", " innerloops = 10,\n", " outerloops = 2,\n", " tol = 1e-5)\n", "\\end{verbatim}\n", "Incremental 4D-Var with the model \\texttt{ℳ} and \\texttt{nmax} time-steps starting at the initial condition \\texttt{xi} and error covariance \\texttt{Pi} with the specified numbers of inner and outer loops. Observations \\texttt{yo} (and error covariance \\texttt{R}) at the time steps given in \\texttt{no} are assimilated with the observation operator \\texttt{H}.\n", "\n" ], "text/markdown": [ "```\n", "x,J = fourDVar(\n", " xi,Pi,ℳ,yo,R,H,nmax,no;\n", " innerloops = 10,\n", " outerloops = 2,\n", " tol = 1e-5)\n", "```\n", "\n", "Incremental 4D-Var with the model `ℳ` and `nmax` time-steps starting at the initial condition `xi` and error covariance `Pi` with the specified numbers of inner and outer loops. Observations `yo` (and error covariance `R`) at the time steps given in `no` are assimilated with the observation operator `H`.\n" ], "text/plain": [ "\u001b[36m x,J = fourDVar(\u001b[39m\n", "\u001b[36m xi,Pi,ℳ,yo,R,H,nmax,no;\u001b[39m\n", "\u001b[36m innerloops = 10,\u001b[39m\n", "\u001b[36m outerloops = 2,\u001b[39m\n", "\u001b[36m tol = 1e-5)\u001b[39m\n", "\n", " Incremental 4D-Var with the model \u001b[36mℳ\u001b[39m and \u001b[36mnmax\u001b[39m time-steps starting at the\n", " initial condition \u001b[36mxi\u001b[39m and error covariance \u001b[36mPi\u001b[39m with the specified numbers of\n", " inner and outer loops. Observations \u001b[36myo\u001b[39m (and error covariance \u001b[36mR\u001b[39m) at the time\n", " steps given in \u001b[36mno\u001b[39m are assimilated with the observation operator \u001b[36mH\u001b[39m." ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "?fourDVar" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Lorenz-63 Model" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "search: \u001b[0m\u001b[1mL\u001b[22m\u001b[0m\u001b[1mo\u001b[22m\u001b[0m\u001b[1mr\u001b[22m\u001b[0m\u001b[1me\u001b[22m\u001b[0m\u001b[1mn\u001b[22m\u001b[0m\u001b[1mz\u001b[22m\u001b[0m\u001b[1m6\u001b[22m\u001b[0m\u001b[1m3\u001b[22m\u001b[0m\u001b[1mM\u001b[22m\u001b[0m\u001b[1mo\u001b[22m\u001b[0m\u001b[1md\u001b[22m\u001b[0m\u001b[1me\u001b[22m\u001b[0m\u001b[1ml\u001b[22m\n", "\n" ] }, { "data": { "text/latex": [ "\\begin{verbatim}\n", "ℳ = Lorenz63Model(dt,σ=10.,β = 8/3.,ρ = 28.)\n", "\\end{verbatim}\n", "Lorenz, 1963 model[1] integrated with a 2nd order Runge-Kutta scheme.\n", "\n", "[1] https://doi.org/10.1175/1520-0469(1963)020\\%3C0130:DNF\\%3E2.0.CO;2\n", "\n" ], "text/markdown": [ "```\n", "ℳ = Lorenz63Model(dt,σ=10.,β = 8/3.,ρ = 28.)\n", "```\n", "\n", "Lorenz, 1963 model[1] integrated with a 2nd order Runge-Kutta scheme.\n", "\n", "[1] https://doi.org/10.1175/1520-0469(1963)020%3C0130:DNF%3E2.0.CO;2\n" ], "text/plain": [ "\u001b[36m ℳ = Lorenz63Model(dt,σ=10.,β = 8/3.,ρ = 28.)\u001b[39m\n", "\n", " Lorenz, 1963 model[1] integrated with a 2nd order Runge-Kutta scheme.\n", "\n", " [1] https://doi.org/10.1175/1520-0469(1963)020%3C0130:DNF%3E2.0.CO;2" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "?Lorenz63Model" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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sX7cXb7t4AZOXxLIs7TYqV6p4asshnLdgCrpy7BCMop2paVlVXjrt2ewzmQxzbapMr8sIy0mnva0nf387UIVeH+iO54qt36cU6YzXrlY6rVVG1baV1+UyXlub1Ol9//UEXtg1iP/484uw5IzZzG9h3m3ngGeCFt1vkT6Iu9xIp1LS+qVSev3WKFRyY8vBMeFv/HetaueUor0aRdXWH4+Vqo2P3b0W07qyuO1NZyFF5FA6hByyLPV7WeS9o25rk7KaapgcHh7G2rVrsXbtWgDA5s2bsXbtWmzbtg3Dw8P4xCc+gccffxxbtmzBihUr8IY3vAEzZszAH/7hHzazWgkawF/+YCU+95sX8d9PbA1dxrdWvIx3/MeTeP+PVkdYMw8pTUe4ChN6zJo76N+y4hgHW/3qNQ2VarQOk2Ed72iIp64DZZCPoG6f8nhhV23n9ut69EmzMYH8a5WIw3iOQx1aBRMH2/V7BvF/z+zCDx7fimrVZuZYGEfdiZIjqqnKyqpVq3D++efj/PNrDnE333wzzj//fHzmM59BOp3Gc889hze96U045ZRT8K53vQunnHIKHn/8cUyaJKeNE7QXG/cNAwD+d9X20GU44YoPbzwQSZ146C4YdF7za6rOGsucuhyDaKCoIyvCBj+w+Ws0lZXA3xt7t6iiiAKbZAJrK9UGF70wUOWlaTTKJWo0M4eOydSlzVKsVJl2CtNkEyE3ENBkM9C1116rHPT33ntvMx+foIkYK7LC32S45zLNjTQI2oUXy1XkMinljoT9TVxO3JiVuEAVEq5zTzNQrrQ/TDfuqDS46EWNOGwAKOISlp5JexUplKrKTZcWAt4rJq/d/jwrCSYmSg3s4jOp5g5/lVD5+dM7cOY//g6/e36P8mh1JjutLIMtc32Ymh6doApKSVNJmCj5NoJybcRFsPMYHC8FLv7MDr0JdTg4XEChzG1yFA0WtzkVl76lTIifWYlZo0WIRFlJcFTg6W2H8bvng887ufl/n0GpYuPjd69l0lTzO/uKBjtgx0xItJPOLVeqeGTjAQwXylyyPP+1ewbGsW+IPek6LrvWoxFrtx/BObcuwz/++gXldar50Ch2D4zhws/fhz/+tye074mbGSguoPKoatvMRiuMzh809eIyNxNlJUEoxGT8unjztx7DB/7rabyyf1hrVzhWqrDMiiKD7bFgBnp+54BfgTC4/98ffgV/+r0n8e7/fIpR9PgFZ7xUwWV3/B6X3P57hnURKVo7Do/irie3oVypxmaXHbdxr4Ov3LsBAPDDx9VO8RUF09go7ltXy0z+DHd4oao949LnUeP36/biN8+Gd/jm0+s36ms0UdjCWIUuJzg2ELUMoovensFx7QeohHO1Kl9wRd9PZMH60t4hvP7/PQIA2PJPrwtVxk9X15JKrdp6WNkuB4a90N+h8TJU+NBda/DM9iPYenAEaQPToW3bTUmNroN2PVcFXUfwZpoT0iHaJQ6WQZ2oQNPy/vIHqwAAFy8Kdw4e7xPWqPkufiNWjIRZSRCITfuGYn2cO+MXYetPWFvBAKj8WUTfT5TwPxHWbDss/N5EOOdJHhSVokf/pE6vomc5u/CHNh7Qbt1q1cYf/9vjePf3n+IWmmhE8kQ0TWRSnphXKQDNPFVY2vyKfomD3kdNLlGMIVrevsGC4koWI4UyvvnAJmw/NMqagargzEBhmBX/d3Ewa/NIlJUEgXjNVx/CH3zzUewZ8MwE/ABvp2Chk7dctbUnWkVho9cRAOyOVeuRTUXYPpAJYZN3osSHyoRG25I6aauqbpI/Zu/QOFZuOYwVG/ZjqKBmbsIgqE3isMDysJi+kb9AM52cw/jUx6Epo24SGspfrOiH0/945XZ8+d4NuP6fH/SbgZrA8MZBnvFIlJUE2li3x0uNHKfBzO5+9O9TTXIdSvxo8Vmhod5R7Kh4B0DZb6UyZVbkHcfnalHVkb5LqQmnCgftXOOwwKqgUkiaaXah/VvRVFLjoPjR/o6iOmEVi1+t3QmgFv1DN1kV21YyxDoQvRfz3nHoCCTKSoIA0IlQqcRrSR4plFGqVH0CWLeWqkWVNWWI72eERBwM7CFBRVFYxY9CVwksGzAmurkkGDNTE/pkIpqBKGj1+f7ld+yNYrhQxleXbcBLe4dYJXIC5bxh2iGCNTsse0XTPfCBAZwVXAtBJtI4jvJEWUmgBOuX4aHdyvZwoYyrvng/3vqdxxkBUKna2jsWeh0vRHTMQBNYP4Ft21i15RCGxksgLg2M03EQfrlmJ6644/d4avMh5nvVosfQ4GXNHTb3t0rgUwWoGYtiUJ/HZRcqg6p/dRIhmuAb92/Cv96/CX1ff5jpw7KmQhyHzKpVRlcJX5/7XtyLZ7YfaUBZIX5H3EYqjGN0kA4WR6U8iQZKoAQV/qqJYDKRozA1PL31MA6PlnB49IgvVFbX2VUZDaTBmkzkaKBfP7MLH/3xWpy/cArefcUi9/tiWR1OTPGxu9cCAL7xwCbOL0L8GeD9i4gyoVq0LIvpU5Eg3XJgBFO6skyukFITmMCgsdv+5VUN1SKk41Rugsderh2nUa7azPjQzSYcB70vCj+e53cO4D0/rEUArf771xjdW6pUkU2znAKfAyqMHApSRuIozxJmJYEPTkTFe3+4iksU1b468aCCbLzkVdJkM63akVSqwYKb9Vlpf+OYCHfnfKY1244w3xdC+Hk8uok940l1jIFsPJmsS7yg3XF4FNd+ZQUu/Px9jCBvRor9OM2BMFCZK6NOCsf6QkH4Oe4+K1FsrLYfGnU/yzZIonf97XO7ceZn7nX9VdwyOPO1romUKSOgE6L21YkCCbOSwIc9g+MutT84XnK/Z+yc3BA2ESxRUOVUENJzikzMQCq/FJWJyLtm4jIrtL60LYshlBWfz5Ai74MqYZwu+O5wwuorVZuJHCoySeeiQdBOOw4LrAqqSC3VKeRhQHPj0NJ0+z0OZqAofLjoWWgFsrGizKKo6I/dvRbFShUf/fFaXHKCl5NFHQ0Uxgwk8FmJoTxLmJUEPtBxOkLCP+M0fun0GifnjdTMQHpQ+aVUFAuu6Ps4tY0OqOCldS8HmE4Gx0t4YMM+JWuhGw1UZRYCRb4NrpK8wkCdD5lw9Cb4ccbRlm8CdTRQ42agdbsH8aZvPIIHNuxjEsHJylZuXNqvq2hlspbBURzoK1IFmrGCCtpBxnLS+2oKunm/sdE+5r+3AwmzksAHuoiMFllFwAGvErTasZA+nWdWtDPYqqKBNHYrUUdPNIqgnei2Q6P452fTyJ+4TxquXApY4d//w9V4/JWDuHnJKdJrVD4rYRZEfmjx/UHHHt2tmjgLHyuwFe2vk7U5CH/3i+fwzI4B/H/fX4lLCRugmmsyxGGN1DnQVISBsRL6vv4wrjttJq4/bbb7PWUujcYnVdZ5Hz1bcqECQQxhHM2dCbOSAEBtUn7qZ8/iS79bzwzksVKFXBPdsxoFjfQYK/LMii4VKjfj6Jh4Gtl1tQO392/AthELH/jvtSxFT+pOmRVROz7+ykEAwH8/yZ4zQxUllaJHy9fdvVmwODMC+7vMjNUMBTK4yDgssXKozHBRjOetBz3/DNqnMmVF7bPS/rasaMgBEe55djd2HhnDfz2xjfmesiWVADOQLJEeVSor1XAbgCB/sThmsE2YlQQAgJf2DuPHK7cDAN5w7jz3exmzYsHifFhaC7roMbtpA58VleBWZbd1EGZH005sOTjifpZlNaVKoMo/VfWbbp4VxgwkL65eDhXQHLNCPlNn62YL3HaeQRQWrEIiN9GZtt2R0SImd2alSrDughq3RZJhCQ3ohkxaPC4KJcoCe9+LhlE6ZaHqyDmq+Pl8VrzfdJsv6MyjhFlJEFvQHSn1U1HtVNspV2iuBna3EtZnhf8tWLhOBAdb27axeushjBTKTK4GCv64AnqvDLpp25U+K7q+C1AvsvS1xg0Wg0YhaoK46y4qp/KwPivLXtiD8z67HN9a8TLjP0SLkPsq8XXwPsehKXWSQ1Lcv34vNu0bYupO27VYYWWVA5EJl/mOmoG4tgxjjg56l7gpjUDCrBzzuH/9XnRk0ujtzLrfjRA2pSRxCAPCO2FFMQ3Y5F/hbO0qG73KP8f9ni6g2k9tLX61dhc+dvdavPbM2dKTi5msshU9M4rqN1UoZZhoIMtSh5JToV4gztYmGXJ1wed7SfFRcZE/MVqoFrawPlh/89NnAQBfvncD5k/pFF6jm3AuiuibKGHSJs/vHMBf3FnLp/KVt57rfs8mQpTMr5DHhPDp9nV7zcRnJS56S8KsHMMYGCvhL+5chXd890lmRzqqyayEpQqjGPyMGYgzXejuCqoKbYOuc3KflfYzK6pdKgB858GXAQD3vrBX7qdCymAVP73n8tA9xoAqLkGyWrVo0OcVmXFBr4t+5YsjVR4EldJnGlUyUijDtm0maRkzBiVsANvvbL/EwVGdwqSPnyanl9O3oswv/Rx0HIRsk8TLpjDmO5WjNf97XHokUVaOYVBzz5FRL58KZVYobclsBKz2hrexp5eyTmthdhfKXaY0g634+lYi6Lky2znDEDDKih6zonqsSgkM6xeh6itG2WIWgyYwK4I+D7L/xwkq52eTfB0rtxzCmf94L/7192z2Ypmfim6yPnpPKgaNaRLFRGvLJq0k8pRu/qr0Xf3lyR5X4do1DAsSdE8cZBuPRFk5BvHtFS/ji1zUz1DBU1Yolc44XHI74bBjOIpsr1TgsexPuAmrNleI76fv0a75HBT+mCYOHbL68mcria7xgQ8nhri91HlWSHEB6fZVLFZFomzRs4eigi0Q8jGR5VLQ+qlMpiaL3j8v2wAA+Jf7XpJyVrQIViGmux72Ht0TmVsFkxONM4Rhou9RkCgrQT4rsqdVOYU/jPkuKAFgHFhjHonPyjGGUqWKL/5uPQDgouOnut8PjYtNP2ozkHqyyRDF4C9JmRX9wlWCSCe/AksgtIlZCUgsldbY9ZZDMCv8k2Rl6/usqMePmlkRH17YbP8Hp8/jsvPUQVlh5gtiEapVGz99egcuOn4qDgwXzZ4rUYj9zyB/xEBbUW1oeFDn4nEiN2mEWqEsjq4UQcZuMXOoqvYRk4FReETPlnxuJxJl5RjBxr1D2DUwjosXeQrKYWL6oblKqF2VXby88vjdrgmikO0VUq9SWS1kpWWoKHGNM5HisPsIFHiy7yXKha6zMq8YyZUVBbOiaT6xEMCCyXxWAvJYNArnsazKFYMVlgOtH036p/InEo35u1dtxy0/fw49+QwWTutyv2fNQOI5xTArin6Jm+JnYra0JPl+qBmoINn8icY/qzCI2zKKdPsyxdS0zGYjUVaOESz5l4cAAHe991L3u7Gix6YUJGwKs3hxEoxVXiKrqhboTq2sEMAq6JqBZJM1DnM4yAwko/bpXdSFgG1Lebmq/q4odm1hw2NVkVtyMxBZFJswPp16xG2BVYFJ+sdVO8hP4fGXawkBhwtlxheKKmj0Lloef1KwDHHLOmyyIaHXUgaFka2SPEZmB3myzwzDggS9l8jc2W4kPitHMQ4MF/D0tsPMYrtu95D7mWanZbX/4J0A0F6NWx4OqF+GavegY6uOBbMSYOOXevXThUQSBq7qX58ZiHmm+Pm1Z3mfVZlM+SgnlfJYkYyFoGiLMGD8fqpOfSJ/TKSg7aUKTQ9S0KmCQn+WOdgyZZN+pwqlL88Ko12Ly2olTPxBqpJxSGWrjAUWmXDlbckq/GGYlaAUAnE7SgRImJWjGh/40Wqs2noY//HnF7nfMYpISWxXLWqZgbi/o6q0JljqP5zPimqXr+NsyO4i2zOhg9gtafZdUnuGWVHk1aHgIzVkGWZ9bJym7wLjzB2QZ0Xmc1OWjN2o4EUDed/FIIBFiZKCoQoyAzHnSWloEix7pzdH4xaFYuKzQschI08rMnmq3mhQ0KbgTalhWJCg0OQ4bMR4JMzKUYa9g+P4wWNbMFIoY9XWwwCA/ud2u79T35QxCZvCKCuysyy40GWT8RwFIyMLt40qHFYn50QcchEERe8wUaISAUTbT7WYUSjNQAolsCwpny+PX9D086yYs0QmENn62+VcHQYqBS5ogWJSqEg2KkxbMAosrQNdpNmO14nCayVMFm3atjJ5yp66rP+C9MoSZ6o1zbLLXyeaG3HYiPFImJWjDO/74So8s2MAz+4YcL8bk+RNYb3UxRNKJvyB9mrfVKhRalV1Zg0P1Y5Eh1plkzO1i1lRKxdSfxvyORwbIddW2MMQWbD5NhSLFhfWyTg8c33M5lkh5Wv635iAVVb8ZceRWGEVU/m4DooG0sl7ImqfWtlidoFX9KI4+TlKmDiaykzTss9hcxYypqQql2clxKnLYp+V9m/EeCTMylGANdsO44avPYQHX9qPZ+pKyj3P7XJ/HymKw5LHJF7q1DzELmTsAhLkUS4DvTLsIi+LLggbDeT3x4H0N/catH9CGznKSe4rSbK+Kn1WFMKVKgn+KCuqTCiYFd4MpGRWxOM17DEMKoiOYYhLtIQMbJi63vEZondqxMRFNz1lBROgcs5uB0zMUkxuFUnWWhmzYnKQJx9QEMZpPWiTE8S8tAOJsjJBUana+L9ndmH3wBi+teJlrN8zhHf951Pu73TRKcpi/mUOtpLEWmWVGchgPMt2XyaoSBZbs2ggBQMQsPOo3Y/Aa5qNwNwYkj6Sm4Eaz7Oi6g/m0ERVJlNOkFcV/SHb0cr8rRqBqD35kP64gW1zed8E+WfQV5MpFexn2i9iJbWRLLqtgInyJDtcVRZpGeRgS0GfzR+JYcsmtqq8gFvi6LOSmIEmGEqVKjIpC/ev34cP/88azOntwChhThyUJTtYqpRIo4EkzmFFbnEJ6wzHHwYXBkx0gSJiSQXdgwy1fFbaZQaSRNc4kIWC0m+ZCBrNs4GobLUstk91/SLKip0lH8mjZFZInWVMYFT9UxGN+ZgIcxlYFk3eN8Gp5emBkcH2VplCXGZ8zOR1dcZ2O5WWoDN0KOh4Y7LWShxsefZQF7yTLq1WOGZF8HuAXGkHEmVlAuHIaBF9X38YJ8+ehPlTOgAAewbHMaMnD8CvsDigwoH6r8iSFTGTS7KQ8bvdsDCJ3mHvo7SyOHdBEFTMiJYZiN6v/9hIESR02DqKF2+5z4qKWZEnhSsrWBDZLp/fWfJOgyrFmPFZkZgHw44zHqLFKy7CXIaKZOOiYjWCmJWSROGQfS4z81XFvPnr087mNTMDidkUqrjIzepqyBS/ms+KuVIelOwuDiZuHomyMgHwiZ88g4PDBfzhBcdh18A4dg2M4+0XLyBXqIcTzeo5JmFW9CYXNQM14LMS8j4KNm9DuB20MsRWQwDEgSplU28LhA75XXYGUEnyWfVO9OA1XtCqUvaXJcoED55JUUU8sHlWvLGrMnmERVXQ3nER5jJQNkiljIr8cShkC6YsLVkY9k4UhddOZZBhJoOYFcYMJGZWGHOYwc6KPppnx0zCq0XXiW6JwlQfNZrqs/LQQw/hDW94A+bNmwfLsvDLX/6S+d22bdx6662YN28eOjs7ce211+KFF15oZpUmDH7+9A68/0erMDBawk9X78ADG/bjhV0kwocoFEGgg5s1/YgVFGk0kHJB164OMznCJu6SUdtR5VlhEmRJ7/c+t88MpF6QWSEnbjN2gddkVsg227Istk8VyiPjYFuRl88rVirlkc2zIl4MfLb9kKDri+ezEhNpLoHsEEG+1qJ3k5VD+45lQ2gZRImUHIOg47PSzsXSJDmazGdFFrpM2yQo0oplQjlFXkNWqcoL8nWLi9NKU5WVkZERnHvuufjGN74h/P1LX/oSvvrVr+Ib3/gGVq5ciTlz5mDJkiUYGhoSXn+046nNh/CeH6zEK/uHcfP/PoN7X9iL7zz0svv7aMFbVEYK+soKFdrj0qy1waF2/EIWNsshvbSiWLBUkDsNqp4rF4xqZ0NxoeL9ZGsRtKuSmWdkRyqoKHrVYs8IU0XIMBO6rIgGqnILp4wV4utZkiwGtm1HInNFQj4mslwK1gyk508kYulKkk2MNCyZMjGyIzxUdXDat43clcmpy7KgBlneKpapVtdD5pjOj2tdhTwoOCAMW9NsNNUMdOONN+LGG28U/mbbNr72ta/h05/+NN785jcDAH7wgx9g9uzZuOuuu/D+97+/mVWLDbYcGMEnf/os3nfNifin363Hpn3DjBDfsMdT3EYKnl/KWMn7HDSYmHBlic8Kk4tFElHB0+pBVKIOVKYAFSrSxVFeE79g9D7zd+k41rEOtvK6NhMmtueKZIct62OepZaxVvxBg8rzZ6RCl3sWNV9xApmvhmyR4JmVKBgQ4WIawmeglZCFqZtmsGXMhdIxQ9kUmV+ZfL6KzEB8k9q23bKoqyC2ib1W4rMiYVZMWGXZ3K1UbWWknE55gVGEMTF0ts1nZfPmzdizZw+WLl3qfpfP5/GqV70Kjz32mFRZKRQKKBQK7t+Dg4MAgFKphFKpJLwnLJzyoiq3UK7Ctm0Uy1W89d+fwtWLp+PQSBFPbTmEp7Yccq9budn7PDzuPfvgiPfeVHEpBnjmM34qJHKIPWlZrMQUmUlHjjev2igWS8zfuu1EBfp4gb1Ht4wykyGSmjFYxomWx7dTiSh85XKFubZEyqxUKsJ6sSc/Rz/+dFAkz6wI+sCWKAfssQu0Lb02qVTZ96bXlTklk5ZdpO1aKUvbtcAo3Gzd2bFVZXfvXFuXynQuiMdFpVpFoRhurFHQhblUqr0b7QP6Hu0YDyIw/U7avFKpcvOD9pt/zLP9KmZrSsyzJHKkSMcY1+90TFRr9Stw0Y7FYgmplNWSdqYyolKtKp9Fx9s4c0iseK7Rvqg9S152WWK2LVUqjMwrcfNNhlJZLbvLzDhp3pg2Ka9tysqePXsAALNnz2a+nz17NrZu3Sq974477sBtt93m+37ZsmXo6uoS3NE4li9fHvreA+PA4YKFE3ttfPbpNDIp4Lq5VbxyII1XDozghEk2eBfF2oStfbd7/yH385Zd+93P+w8ecT+PFUu+MiiGx4ru70dGxtzPQ2Pj7ufRgnfN4Mio+/ng4QH38/adu+BYDkdGx/DgQw/BGULDIyPo7+/XapNCIe2Wed/v7wcdhvfc068Vxrd1W8qty6HDg255m7dsBbVu0jrVdDPvWes3bACQBgBs3LQJ/cWX3N+e3225v23bth39/f4xuf+AV4cnnnwKh9e3fgeybRhw3unIwICvD0ZGvbYeI308MlZwP+874I2xzVu3w3mnvXv3MeUVSPuNkbFj21WMjHpj5mXSBy+9tAn94167vrTVa7NNL292P4+OjTHP2jPqPWtweATV8RG3/CeeYNv6lS1emfsPHXGv27Zjp/v9oUNH8Nvf/Q60/3XHK8XwsNeeKx58EOu7gCMF0i7j4668aERuRInBIa/O6zdshNMmu3bvRn//Tve65/Z4Y37zli3o73+FKWfnbq+dWZNixS2/tqjW5cuoJ2sOHj7ifl5H5t3g4CDTDy8PAk5b7tu/H/39/cy4A4B7fvtbkDMVm9rOzxz02mTP3r3KMbOZjO1BImeHR725cvCIJ09f2bLNvb5YKAjK9t55cGjYvW/n7j3ufS+88CIOFyz37/Xr1qN/cF3ge2044r3X/gP7fc9+hfTD4OBg08b06Oio9rVtjwbi6bwgiu+WW27BzTff7P49ODiIBQsWYOnSpejt7Y20bqVSCcuXL8eSJUuQzWa171u3ewjff3wrPn79yXjfj57G+r3D+Opbz8aRJ54DAHTMWgRs3g4AmDZ1KjYPHWHut9JpoL4TyXZ2AyO1Ds109gDDIwCAfFcPMFr7XLHVq3uJ/F61MgBqmngFaQC151SRgmMMSWVyQH0Xmu/qBsZqz58xczZwaH/t+44OXHnVBcCzjwMAOju70Nd3tVb73PrMA0Bds7/m2muBNY+4v91w441Ip9TvAwArfvYcsL925lEHqeNxCxYCe3e41914443ueBoplIGn7nd/O2nxKcD2mk/QiSeehL6li93f9j62Fb/YsgEAMP+4BejrO9NXh7v2rAQGDwMALrnkElx50vTgl48Ya7cfAZ6rJQPsmdSLvr7Lmd+/8PyDQLHGyNmW199IpV2Ou6d3MjBcYyjnzpvvtuuMmTPR13ehW9bgWAl46gEAQDaXB0rFWlGpFHL5HFBnPOfOPw7YW8ugfOLJJ6HvNV67Pvu7DcCumuJ33MLjgT21edCR70Bf36vc6zbsGQKe8cZWb3fWreNFl1yMq0+e4V776C9fAPbWFt2u7knAyDAAYObsOcDBfQCA3smTsXTpxcCTv3fv6+vrUzeuAF/d8AgwXhtrV199DRbP7sHugXH849MPue+xZMkVoeRGs0DrvOjEE4GdWwAAs2fPQV/fee51B5/YBmxeDwA4/vjj0dd3OlPOzw88DRw+4Cufyh+bbJpSmSxQ36F3dvcAIzV5dcJJi4HtNUWop2cS+vqucO95cvMh4IVVAIDp02egr+8iDI2z8/aGG25ANp0KLZ9NYD2/B3jpWQDAzJmz0Nd3gfTaFT9/HthXG/cWeXekPJnb2dUN1BdoOtc6OtjxDwAffXyZ+7mzq9vtw6nTZwJHDgIATjv9dOw8Mg7s2QYAOOXU09B3zQmB7zVp0wFg3dMAvHamWLnlMPDCSgBAz6RJWLLk4qa0tWMZ0UHblJU5c+YAqDEsc+fOdb/ft2+fj22hyOfzyOfzvu+z2WzTBqyq7AfW78P8qZ0YL1Xwjv94Eh+9fjF+vHIbXt4/go37hrF+b01w/mKtd5jgCInCGS35TTiMzwjZwQwT089okTV36EIWrkztoPR7uoNiE2IBqXTa+8KCdvszvg9Wmvktk8kgkw72+6ZCsczYXFlFJ53JuspPimsyyyLPSVls/bmsZ6J3o3VIp9NtWZhSaXYK83VgIhQkzqeyPrbBvrdVFNu5LVjsfWTxSqVSTBk2Yb3oyK/YbN0tMrZqkTy0TLatq5KxwPskpTPqttJBldjvU5laPVJpQqmTcpspk0xA61zlFAt2zJP5IBjzZUN/HDZrLa0PrQPbD6lUmvxWq0OaSyGVzmSQzXjXNbOdrRSVcWI54IA2j/ysNTLXFO3Ag/fhIhVkI/O4+SYD287+ZzOynYyTqNvapKy2KSsnnHAC5syZg+XLl+P8888HABSLRTz44IP44he/2K5qaeF/V27HodEirjxpBv6/O1diUkcGZ87rxXChjNv7PQru+Z2e1nhk1BNoewfH3c+DY2qbHVVchse9WUsVFxPoyBtpNBAXcsg4PYZMxuaP7NArg80doXAatG2k60KBj3Co8KuZpB7SNtO5pskIisiSJWiTOkIqnGNlib1gceGxCkdNmbMn3wH8IZGqMHk2z4o86kQU3WTqqCk6UDGGUZ4MaJ0bSQrHH2QaBFnmVlV4vDBTsc/B1qgaDcHk3B1Z6LLcmV0ewu0ruyKeN77QZe1oILVTLjOmjwUH2+HhYWzatMn9e/PmzVi7di2mTZuGhQsX4mMf+xi+8IUvYPHixVi8eDG+8IUvoKurC+94xzuaWa2GMF6q4JM/q9GC77x0IQBgaLyMHYfHlPcNEkfZA0NF9/OIIFU+BWVQRsjnsMqKDti8FfrCXxeyUEpAf2JUJXVUhbXyv6nCdE2TwrUr14YoeoJCJ/FUSRK14UvoJom6sW2bOwVbL9pDlZa/wi0SqugF2XjllWtRNFjaTFfRCF2Oh2CnqEjax3TMmyQx459bljB5vmgxgeLXzjw2JmHBKkXfgUxxCVKEShLFz7Y1N1Yc+NQAPEyOGWgVmqqsrFq1Ctddd537t+Nr8q53vQt33nknPvnJT2JsbAwf/OAHcfjwYVx66aVYtmwZJk2a1MxqNYQtB0fcz9sOec5B4wFJ2ujvB0c8ZSXInDM03jylRAfyJFvh86xUFApEmNA7mdmML88f8ioXFux9wcpKu+ZzYG4MDUlTkhwyp1I0ipyCKFNAVSHJuspiUOgym+eDKk1s+fxiU/vbTFthkgW6G//gRaqdYNpcmT3W+yxiSsMmcATUKRAoREkOVWOj2TBJfKnTPnLmT94OyvuqdijFIig0WZbcr51oqrJy7bXXKl/UsizceuutuPXWW5tZjUhxiCgaOwmbcnhUbc4ZHPOUjkMkBDko7LjdUE2SMBq9c68DfoLrCiLZosfv/lRKh3KxDGAsAE5BadN8DjzIUEdZkS4k7HWyHTHPfKiOP5BlQfUdd8CZK1SKMUORM4orq1Cp8uzooioYT1HkG2om5An7FMyK4E1MzUAUsvwifoXJ38/8U1u5dgYf7kivDZblstwzfpMrp6woDkNkWBJdZlqh/Ne+i58C3tQMtkcjaBbZnUc8ZSVoUaCOrXGh1XQgmyQ1p8d4MCsyipSvF/8sWbbN2n2kTpI6sNe0p1N5cwmFbdtayoqsj3lFQyWMZXk3VD4rSgamyvYby2joMT48Le/zWQnRZ0wCONF3cZHsBDJzjG/MByjo/NwyQVnC0PJ9IDrmwt9vrYOJP5Ixs8IxfxQqWeU7RgLqfhMhyOQXB9aYR6KsGGKESfYTb1YkavBMRJgdJe+Yy58Po82sSHby/O5P6bOiYACEjn4c4pDBVsk4aEouKkBVPjCq8liFRyWEoXcdp4QpzUDkR7lybfsXvWOEWZGn2zcb86Y+K8y9slOXuSJFJg3/RqJ1rWx0NpAh81RSMiv8povcx8ktZj5otk2Q47AtubadSJQVQ4QNGT4aoBL+YY4mF/2tOy1kE8jvsCu/R3WGjc5uWbWAtgqqVNu6wpNhplSOrJrlqdLoy5gVHwPD+E/YSjq+ImkD3tzA1yWMDBaf1N1+pVUF2UKnOg9L9B6NmIFkjqV+lozUp16hKPotLExM3SaHqAJBvjvy+1RyWJ9Z8T4Lj+mIwUaMR6KsGGKkiVE4cQfvzxDGrllRKAwAYGtu3mSCwcescOYEiqCQZ68McR3CKGtRQ7WI6567RJtFGaGjKQl1nXT1mRW1QJYpUYHMSggeRESPi9iWOEE3AivoBG9+IxAWSidfgd+MyYGaUcOIWTFsH1Vklqosvzne+013TIvMmRRBvnDtQKKsGMLktOOjDco8K7r0IzcH+VOXdSebbOE0c7BV+VYE1ykO9L9qoQxzorXKNKYrjEsKvwg2MkWPgak5EcrrJR8LbD2icLClj66Idv7xkOsMZM7oKtOnqE1NzRwyqExRNlMH2TWRVEMLJr4bxsyKghVVlcU7podjVtRKWOJgexRgNCAvytEMJbOiWQbPrPijgfTKkZuB5AwJb3JXRq1oCIA4UKWqeoY50VoVLRLGDKSKsjKJxlIpZTIlig+v5iOOwuzQRUxWHJ0RKaQRWAoFUfQexQZ8Vij4fE0UolPEfWagSGqhhyC2icLUTKZmVuRlFX2MofebNsMdEKYeZCZqBxJlxRBBSdyOZviEP11ANLUMVdI20d+65TjwO9jK71EtqrbGZGW/bs+EFgl3B2F2wuyuTf4sZRlRmIE43xCVWU4+FoLMQOYQ7Th1xko7wTIreoqkOClc9MyKiiUTJ91rtYOt+LMIjfms6JfF+2IFhZyLEKxgx08BT5QVQ4wey2YghT+I7oDmhRMfDqnv+yL+3m8Gki+IujSsTG7EgSpVMSumwhNQK3C60UWMksApFoyDrcp/QumzolcvPxPI/q7rH8XcI2B44sys8OZaNavhfRYnhWsGsyLfrLjRQFyrtssMFPTgaH1W5M/yKXQhmJWgAII4+mElyoohjmVmhZ+MqsVehsBoIG3fF8kCpTArqXIXKClxSZ3C2IqjhmoRD5MXo6SpwKmgclxmw2jlfc8snJyioVsvPuokCgdbVV4bUd3aDf8RE3JWQzWWbNtuKBqIqQOTZ4WFaJH0KZktVAlN5rhphl8+zxM7/vXlYBhH/yDTURw2YjwSZcUQx7KDLS+sKgrBJ0OQz4ruvNBZoAC/oyZ7rXySsztocR1s5nN7ZjR9XdXZR7oIu9tjr1NEFDG7fHkuCd84CVEv/l38i7PwNiVEC3oYGr5V8LejLquh3lQ0Aj4Ttuw5zm/tdbClnwOYFUNljr+eFq+trNjhNk3BDrbiz+1EoqwY4lh2sOWhSpstQ5C/gXZUkeQ6VZI5E58VnZBFA4a4aYgiz4rsHpXCoAJ/yCGFzNkTULNZuina2fLYz74dumGn+U8a9+/847ILdcDPN5WJTmX6jIpV4eug8kdxzUC+fousKoEwYRiMzUC+xG9kbminHQjnYBvkOMzOjXgM6kRZMcSxlrVWBSY0VDfkOIhZ0ZwX0nBVPm+LYreist/rCKk4+Cqoso6G8TFQLST6zIreDt2fpVOlWDb2njxdXisn8Dbl9d5iqr+gtRqq+aZqj7A5e3SgOz48B9twG5ooIPJRkqFRZiUodFyEqq32y1Pd50B0iw6z3GokyoohEmXFQzhmhZugCrONCrwQdqBKt88/m7Hf8/Wkk1nmL89M+PbMaFVSuDBmIN2FRFmGZtIvlaLqUyxVvhYaU7Jq277rTE02MvZNZ6y0C+ojJthrVWcDRRUJVCtLL/GgUz+/z0rrIMuOLIKpj5hq/OvOXf5AWV2Y5VmJx5hOlBVDjJeOXZ8VHszBdiEZkciZFQM/CN0j2vUy2Cqr2zSo7NVhFpgolB/lyb6aZiCVn4LvPXWYFVsglI2ZFb5Ozt/tHwcy8Aq6yidJdVhkI+cC8dCPBqozK75ooNY1sok/UpjNgexZuqkggiLl5PeJP+v+3g4kyoohVMxKVy7tfu7JZ1pRnbZCtQuXgVcYojh1maJUlQs/9anL+gunqK7tc7Bt3gLj92nQK0/ly0PbUulgq3hUGManyvmb8M/TgT8M219OTOS6CzMzkHyuRJUQrlYHualR5DDuP+wwsqoEwmTRbpR9ouVrMyt2ON+5INNRwqwcBShwzMo5x012P8/u7XA/z53cgaMdrM+KHoKYFe2dgS6zUpULYFUCNB2ntTj4KoQ9JVkHKidXXfh37/LyVJFb7HXs3zr1sgXMSlRmoDiYA2VQMStqM5B8rjQKla+biClsZzSQrj+IbdsN+/WolEXVc8MwK0HmraCzg9qBRFkxxHidWfna287DZSdOw1feei7m1RWTd1660L1u/tRO93NnNg0VLKsJFW0BVJSyDCqFATBQeiTPkzlBCp+tMldo0L9xiAJRJ0trVHiyf4dZsFRmIB+rJjhxV1imz+9Jj1lp3MFWzOjEwdFaBpPQZdqMYUxtulDlN1KdTeV+36Y8K6rHVqp+5s4UdPzrbgwqHGOoWwVWdvnvonu+uOjfR7+tIkLYtu2GZV61eAb+4Pz5AIAfv+9yvLh7ANefPhv//eQ22LaN1545Bys27AcAdGRTGFP4uszsyWPfUAEAMLkzi4GxUpPfJBqYOJ+J7qn9HdLBVlN2qhZzGmLrD2uF9DdRee2az7xQsW0bVl37bTTcNAqHXZUDpep5qnEQpl4V2++IaMqCyMwRYWj4VkGtoLPXqqj/aEOXVQqT/7dGlcxGwCYnlD+4URaTL1/X5Mr7YuknhfMzWLLf48IWJsqKAai/Sj7jkVILp3dh4fQuAMDyj1+Dcj1M8r4X9+LKk2fgwHAB31rxMmb35rF3sKaUpCxvkEwnysq07tyEUVZEGUitAJrIp6xInRbVCJOPhVdw2Pqr6GjZDs+8PlFDRJE7XdBoIi+/omG+uzYJO9WlwU0UIK8ejZsT5GagcGO4FfDnWZGP65ZFA3E+K1RuiOrQqJLZCOyARd1BmGzRPNgTyfXlWxhHfxOflbg42CbKigEKJW9AdkhMO5l0Cpn6T99798UAgIGxEiwLeNtFC/H132/Ez57egfe/6iR8e8XLAIBs2lvg5/R2YPOBEQBAOmVFmjkyaoicY4NMWipa2ikjzLNloOWpKXF5+bJHMUKzTd0kSqqXgsOsNCZAo/FZYf/WVULMmBW99wzrzC17rlMcX0yMdBWl7w//E22fZjrY8iwNo2ALFtEoMg+HhW40UBTKHJsUTle+2drzhn2W+LP7XVXvvVuJRFkxQKFcM+WkLCCT0nc0mdyZxd+89jQAwN/1nYbrT5+F1545B0+8chBrth3B2y5egGd3DAAAZkzKu/f1dmRweDS+LIvIQdJZKGXw5zoJJ4hMQvtk96hCbJk/Nfxj4hANBNSEvTOpG49O4MqOwGdFvXjKWTDZdSZ5JnzKirGDLf+3zfzvlRsf6Jrdan97n5sZuiyqhyM32JQBTvvyd7SuhZlFXdEEUSTNo02uu9Go+cqYMyuqKEJA7b/ULiTKigEcM1A+kw40d8gwvSePvrPnAgD+7c8uxMHhIhZN78ZX7t2A8VIVs4my0pVTKyvt9m/xnXCscU/gQYYhM+HKoAoHVPml6NCgcYgGUilZUZuBwjArPuYnEmaFlG/Q8GEVY1mdnP7nqxArM5ABQ6XM2dPEFUvmBO8yVw2a7xpB0KLuIGpmRddHqGrr+dfxCIr2iQNrzCNRVgzgJITryEYTRDVrUgdmTapFEv3mI1ejWrUxNF7Gdx/ZjIXTugIX7kkdGVdZmZTPYKjQ2nOLwpzro3L4A9S7F1U5MugmWgqTZ6Uag/msWnCiDKUEwkWE+EwNkfis6F3Hg/e5MXaw5Vmiqvj7mMh2APpKH6BOCBiFT4YMVM4JzUDc9a3c6euG8EajrNDydHMacT4rmqMvaGOgGgvtQqKsGIAyK1Fj/hQv1Pk3H74Ksybl8dOnd+BLv9uARdO7sOXgqO8e6jfT25ltubISJvtsYFI47cmmdx1jWjCw3+uEJYdxbIsavEyT7VLDgH+nKPKsqPQd/WigcHXyH8WgfSsAuXLOFxMT2Q5APQbUCjp7bZQOtv56kDoIIgz5TUZrQ5fpZ/lzozAD0ffUVQ5r0UDe37pjL2gTF4eNGI8kz4oBHJ+VfETMigxnzZ+MWb0deM9VJ+Jzf3AWfvpXV+CChVMAAFcvnuFeRyOSJnV4emd3LnplSoQwDos+x71yOIrX5KAvnXtkFL/oN+8i+f2tgpJZiaPPinLxJPdpLrIlg7O6/M82ZFZ8ocu2rz7mpTYXauWQ/1u+gDWTWZElA4yDMqgbFROFMsf6rOiV5/dZ0bwvYKMVJtFcs5EoKwZwooGoktBM5DIp/Nllx2NGTx6fft0ZuPGsObjtjWe6v9MxNK07537uIYpL2sAR2BS+E441xHSgGUhjYvAe8CoEHYUu+00nh0w88qxwCyVNLNVoun2fGSiMssL+rW0G0rzOZBENew6Vd7/4eABfOTER7oB+OwIBZqCW+ayQzxIH5lYunrrsaeShy9p5VvhoIL1nsX4uAmZFQ/61GomyYgBnwmZSrW+2C4+fim//6YU4cWYP/vii49CVS+NTN57m/k6VlUkdWfdzb0fzLH1+Wtz8njChyyaMAWsH1jMt8H/r+Ky0a0ar/IYaP1iN/TuMQPafkKzXB+qzgUidGvBZadTB1vnbb8qMD5Rsos/5mXzmFdUWMSv8Imnb/sywLWVWmKSL8gdHnRROV8bZNrex0n2WwJGZImz+q2YiUVYM4Ai7TLq9+fH/6c3nYOWnX4MrT/ZMQnPIuUTzpuin+m8E/nwJwQPal0XWd5hdcBkmi6bJ2R6yesjuigOzotp1NkpN+8NXW8es6LJgJmYg/9EOZu8jiyZSmVPaDeWYV1zr81eqt11UwQVMPQRsCq1HW5UVzTEZhTLHmDe1fVaiOHVZwKy0sc1lSBxsDeBMWJMcK81AKmWhu36q89fffh72Do7jgoVT8d1HNgMA5hLFJd9EZSUMs8ILfH5S6swJE2VF32eF/TuIJgXYurbPwVbeB1GfDRSGWTHzWbE1r/M+m7yjT9kwfB1e2fHygJizg62CbjsCYn8RB44DaWc2jfFStCyLKrqLX4yB9jnYqp4aRdI8XRaYolK12TbTbJqgjZaPdYvBoE6UFQM4g6IdZiAZ3nRe7Xyig8MF97vZvV6ulmYyKz7qU2M8B5uBdJgV/Ymj6wfBP1fHZ0WXtWkmVI7BjVLTfF+F8Vsw2aEx5h2F8KeClHfQVsHnsxLRqctxNgOpzW5i5QvwzxWHwQrK/RQG9Eki5VvEtrQKfAJCGaLPs6IbuhwuzJhl0UTMSvzGdKKsGMAR1s10Wg2L6T153PORq9CVy+CeZ3e533c2MTIozCGEQfkb9HxWDCJANIWNSc4J0T1xYVbY80WioaadBIhhylMpgTx0hXVY9siXxNCwz+RmoBgzKwYOtoxpQHKOFjUD5dKpiBgFuZJUte227vKDomYcRHEqNS1CPymcrV1H/j7vs/93fz/oldtMxIcimACIi8+KDGfOm4wTZnTjqsUzAQCXLJoWkPy+Mfh9AIKhPkxQb1KE9VlRMQ2+RVVDAMTBZ0WVZ8UReI1Er4nKM7ufY9IUQp3+pGJMwkYDNXo2kMyZ2b94xkCy1xH2QEjZqct088N8boDBVYVMV227rcyVroUlilOpw4xrvn10Fbmge/xDuv1juu3Kyq233grLsph/c+bMaXe1hIiLz0oQzlswBb/58FX4j3ddFHiwYCPgJ5ReBlv2njBlGPms0AgHA8FdDpzMbJRCu7zllVR+NQplJZxi4NXH+2zbtlKo6z6LtnUrzUB+ZccxA/H1Myq2qQjrVO6bD/WX7CAJMbty4s+moNUQmYHayVzppj5w1gZ6KK0pA89G8mmeDWRzEVSaz6IbzZoTs5oBTZiVOs4880zs3r3b/ffcc8+1u0pCOB2YjpHPigxnzZ+MyZ1Z3HhW7Ryi60+bFbniIjo9NQi8YA9TRjN8VvyOoOwx9jzichq2ii1wBJ7shHAdhBGgsvuD+q3ZZqBGBbDsfn+G1fhArRzyf8sXZscE3ilRUBoxN6uey+cRAVq7MaDjS6msVP3KXIfhJiEMi2nbNqOE6zZNkB9QO52aZYiFz0omk4ktm0LhDIq4MysU77xsIXo7s7jipOm4/4v3R1q2399Eg1kJ9FmJmFlhdm3y63yREYqcE0B7nf5U9RCFLjeScdkOIUDl96v7TdvBNiTbE2asUfDMjKO8tDNpWRB02xFQs4lOOdTcM70nj5f3jwBojFlRRezZ1fY6MOs42gPE5JpNYage69CRTWOkWNF+VlgzUJCzrAgik2aKOA34FPAYDOlYUAQbN27EvHnzcMIJJ+Dtb387XnnllXZXSQiHCk3H1GdFhHwmjbdceBzmTenESTN7AMjty6a0ZZiw4wp3T5iTm5uRZ8WUWeE39G2LBlI4HzqLDz3LKpsyq2fDZiCD++m1RU1GwESBCjNemefKzEAxUVxFKCry0PD0PzUNyMxAlEGZTVIkdOXC73vZKCT2t4rtD11WmXOjhi5r4bQPnWumjKasL1SocsqcthkoQAH0s26aBTcRbWdWLr30Uvzwhz/EKaecgr179+Lzn/88rrjiCrzwwguYPn267/pCoYBCwQvTHRwcBACUSiWUStGG1DnlOf8X62cDpWBH/qxW4LY3nIZP/PR5fOZ1p+Gv7lrr+z2btozMG7wgLBRLKJXUE9RpQ1kZxVI5sG3HCvptXyp75ZXK8l1Otcr2KVWiqra/v8eL7KGR5UqlLWOCV/Zo+xWdU8IJHZ1LASZpMgrFErJWbUyYJGBzUCHtOjJeVF5bYuouP5SzQtp63GAs8H1W0hhrFIUie22pXo9SiS+XlRvtxHhRXYdisYRUfZNClTl+PhTqY6k3T8xAWW9z00nYu3wm5R76qoMikd3lCicfikXfWHDmdCvamY55kRxwMF6vI/UPM/UVY+auQlZRVKtVRmZXKlWt9uBlYaFYAkh9S1w/NKutTcpru7Jy4403up/PPvtsXH755TjppJPwgx/8ADfffLPv+jvuuAO33Xab7/tly5ahq6urKXVcvnw5AOD5nRaANPbu3oX+/h1NeVaz8akzgOLmVRB1faVSAQzihw4eGWCuv//++zE1L78eAF7YVWtDB8OjY0wZTz31FAZfUitM64+wZaiw+uk1sLfVytv4SgoyMnFwaAj9/f3k77Rbr7HxceY3ABgtA7QN169fj/6hdVp1ihK797Dv9OCDD2JDfRrs2FX7rTB8xL0mlwJGDMq/995l6Ky/5qEjtTbJpmyUqnrjZGh42G27QwVAJXIefewx7Hm+9nnvAa/9eWzdth39/VsBAKv218aCBRt2wNjd+PJm0LZ6jDxPB88cZMfdxk0vo7+4Ec/tZr9f8eCDmJT15EY7sWaPeq7c89vfwiGKR0a9Ni8Ui8yYf3lzbSzt37kVThtah7a5ZY8cOeB+n0EFBQM5smLFCsyokzT797Pjefl9v8c6br4/8cSTOLjOkxHNbOd9pD6VatUnBxw8Wx8DlfFhOG1YGvM+py0bFVvdJo89/jj2vVD7vHN37bkZy0ZZcd+RwSHU9HWrXt990jpS7NrNtvNvf/s7UEve1q3s7/c/8AC6MtG39ejoqPa1bVdWeHR3d+Pss8/Gxo0bhb/fcsstjBIzODiIBQsWYOnSpejt7Y20LqVSCcuXL8eSJUuQzWax7cFXgG2bcPzCBejrOzO4gBjjP7Y+ged3DeLSE6biyc2Ha19aKTiEYC6TUlLIANDZ1Q2QwXbtdddhPkn1L8KOhzcDW72+TWdzANGuL7r4YlxDTpYWPnfDfmDdGuU1Ds497zz0nVNzMn70ly8Ae3cKr+vq7kFf35Xu319e9xBQGAcAZHM59PVdx1x/eLQIrFzh/n3qqaeh75oTtOoUJX5x8Gng8AH376uuvhqnzJ4EAPj14TXAof1YNH8ONg7uAwBGIKWsYHr3NUuWYHJn7aypf930KDA6gu58DkfGan0WtIvu7OpCX9/VAIAtB0eApx+VXnvpZZfhkkXTAADf2/YEMDQovG7+ccehr+8sAMDo0zuBTS+gM5fBaIB/wPwFC4E93ibj0ssux8WLpirvobCe3wO89Kz794knnoi+padg3+NbgS0b3O+vueZVWPP4g67caCf2PrYV2LxB+vtrX3sDcvUd9a3PPODOxXQmi76+17rXOXPnjNNOwcfePBt7B8cxrTuHH3/zcQDAaScswLOHanOrt7sTIwPj2nW85lWvwqLp3QCA/9q9Ehg87P523atfjfTGA8DLL7rfXXLpJbj8xOk++dwM/GjXU8DgkdofloW+vj7hdbsf3QJseQkL5szA1k0HAQDzZk3D9rps7enIYmBMzhYCwCWXXIbLTqyN///dtxo4chCd+SyGxuX3dff04MiRMdfJbvqMmejruzDwvX7OyY2lr13KmPIe/sULwD5PVr7q2mux8pEVkbe1YxnRQeyUlUKhgHXr1uHqq68W/p7P55HP+7fv2Wy2aQPWKdu2apM6m0m3XQg1ik/deDq+smwDbn3jWbjx6w8DqHmylyq1iZHWCB3iM5qm05ngdrFYZoO3naZSwW3r9IOOQkXLC2Km6XNZk7Hlq1MqzRZmpVJtGRO8aTtF+sD5bXKXd8hljjR/PpPGWEm9wNM+9RKDpYG6stKZSyuVFRteu9qWmg1LpbxnKU1Vltcfdn33l8+kApWVKrdDTafN5rHNjV1YtT63uO8zmZpYbaZM0kU1gOFIZzLI1n0r+NwbtO5OhHg+m8Fp86bgtHnA1oMeRzetx/NfmdSRwe4B/TrSMcsrz+lMBuDGDS9nmtnOfOLHTCbjJklkrqu3MzPXiP9KZzYTqKykyHh0/KDymTSGIL/PBus/Z1l+WSW+j5sLmSyyWaIOWPxcac6YNimr7crKJz7xCbzhDW/AwoULsW/fPnz+85/H4OAg3vWud7W7aj44/gETKRpIhqsWz8BVHIPRlU9jqFCbGDphziUux4Ve6HJANJCGi1jJzfkQrKxQ57yCKncH93dQnhWZs2Wr4TuvhoZq1+vYS07h7s7YcCjjjmwqUFkRRRd156kQTuMI5HZnNtGbuq90D3ITRRjVnBnV9m9/Th/l5T74Iijqf8c53X5wm3ufVWPezTGV9hQzetL7vCmeskLHW0c2FXiWkCpxY6Vqt9WBWZQaQCQbnfaZlPeWVLpO6IR2i8L8gw6OtG31mU4yBGUfj2M4ftuVlR07duBP/uRPcODAAcycOROXXXYZnnjiCRx//PHtrpoPzkSKY7r9KJAlgkjnHfkcFzqKBu8Qykdz6KTNoAvUoIIiBdgFSSW4VQfuiaIP4hIBwvcBm7K79sekDm+a93rri9YCLwon7iGLUZAQZhK4RRS6TPuGVVbU4J/faFI450//WIiDaK/BJAKLVVbY65xxRpOeTerI4pvvuACHR4tYMM3zF3TMhkCNGQhSVlRz1LbVEW/NRlDUjAOnnXMZKkPNnG2Z/EGCcZ1NWz55yR9kqNs0vuzjAdGNcRjTbVdWfvzjH7e7CtpwBgVd1I8GvOb02bhv3V589PrF+Juf1mzyOu/I0/86O1X+njC70pJB/hD9RGNyZUUnKVy7pjIf4itiQqiyMomwrj354OkvYjvo7pGGwVuWKLmU9zkomojpq7ITCur3iRHtQHUWA1//N8qs1Ouheud2w1HQ0ilxpB87Xmi4Ps+A1pkVLiHm6+r+YKu3HnK/mznJM9PrLdJEoeWiVNqdbl/U52mBac1pHyo3cxnvOtoOMvO1KHS/m8y1jqxnpnfAb/7CpNsH/Io7b16Oga4SjzwrEwVHK7Py//7kfNz5/12MP7rgOPe7nIayEibJVlBIo0m6fZotUtYlbGp2/+7HfS5XraDcBfz1bWNWFMLKGa9zJne4O+LZnd7vPR3Bygq726v90SNRVmh/iOrjCHTZ2BIJaxFjIjIDdWmcU+Nj8Qz7zLfLdvKsxEk74eCMeVk2VZqFl76GLM+K7Fy06d2egjKL5F/RUYjpXBJtgNqZdE+moPKg7XP89BrL5DiLA6wSI+sLW6A49tBQcQGLyfsNajMrAdmc45joMFFWDOAM3KPBZ4WiM5fGtafOcvMtON8Fwe8vEfysIFOAzpxwj6snglCkgPB1UgluXtEKSrPto/7bxK2o+sB5h+58Bv/z3svwb396PmYRZWUKoetlCzyjbFQdMxBRVsg4ETFdItOOjBETKSGinbmIDdAxTYXxj5I9t/Z37X/ZmUFxQJCZzKmrLDuvV45a0ZzV6ykrC4lJaFKnjrOnf0PhQMSstHKq6R5+6bRfNpXCV956Lj56/WL88cUL3N+pfMrL5hp5dae87px4Y+BeF/Ik8SAlLPFZmeAoEUr1aAdVyByHMn4i+E8xDh7SJk6WMpTcHT5ZKDNpFMtVn8JEJ2VR4evCP5U5AFGkrDR4zkxUKPF+QwIzUCZl4aJF01AqlbDJi7zFVBK50JkTRwaJzEp0t0x3ezVmhfWBofUpuKYdcYSDyGQnWmRFDExPXodZaczB1ucvUK+H/xyV+MBxgpcpK04biM5Ysm3bjXwpBTArXbkM7nrvpbDAmpuoQiwLlafN52NWqoKzgVrYwn42TXwdbZ+LF03DxYumMe1Ax6RM4aMbIEdO0o2BqA99vieabROorMTEJ48iYVYMcLT6rFA4OsoZ87ycNbatF8ps4rOiw4TI4O7wyaKZTllICeooMgMFLYAAz6yI6hkPo66aWXGUFa+tKakxhSor0p238793YBplRqZ0emWIIhfECkhw36uZFe+zR5eLFSgK/6GZZn3md/6UKCsxEOwOigFsllN3/8YjeCzxuOKkGbj8pOlM/07p8pQVWUr+qmCO0jr4d/3SKkQOfTOQf22gm1rKWstkHxsV5R/XlDF0RB3PVOsq4EGMkf8k8fYP6qN31W0CnAkrWhSPFvzqQ1fhTy5ZgM++8SzmezrBZGYwnfHsONBJF0ed0OX6bpE6n1lgBYIDxgwkOIxNdJ1vNyeoUlwcbJU+KxV/BEcneXVK3ctMJ055dKG3iIMhXYzESqD3Ocgk4Tms2iR0U+Sz4leAujVMgmHOoaIo8M6f9eL8frvtF+wOXGVF4E8EEGVFcBZN0FiSgT6LMTVKx5j32dfGbXaw9Uc8iuFsoGSykY492TUm/mEOOxP2cE5fFKEvwKAxFrIZSJQVAzj9eRTrKjj7uMm4483nYHIXa2tmvdyDHSRl8NiNBpgVZ4EiOzXLEjvZinZtomfTSa46ydi9JqRjW9TgHexEDrZ0hzcpC5w9vxfzp3TinPmT3e+7JY6QzntSoUh9EnIBZ6GImJVuyaJlCxSjIGbFef9JCmXF+Zs3MZjuFmVRSXFmVkoB882pq8gMJHKOzmiwylQpmcUcdhikMHlmXKffhcpKLB1sxe2z5IzZAIA/u/x497uUZQldCVjzpl8JZ5QVt334MsTvwSPIjO0P2W7/oE58VgzgdNhRrKsIkUlZvkVJlC1UR4Y4Al9udtBgVqpiE4HIVCV28FQzADoCKij0r1UoEz+qStVmk3wJqGnLAn76vkuBdBqv7PcykE6SKCuuTwNRIP7g/Hl4YMM+XHrCNGYBD4rccZRFuTmg9j9VjES7cWGIM81HwZkq8ulaqKh/FyqshhSFkrd7LhP2LS4smwiun1YYZkWQs0eHWTluaie6c2mMFCs4cUa3+72s3505z4+lQrlay7MicWxuBXyLtsQEJcpDAwBff/t52HF4DCeQdsikLaQsgJegImaFKvbUf0Xm96XbNLLINv75orq1C4myYoJ6hx3NZiAROrJpxiksGmZF7SOhgmMG4ncxUfms6Cw+cUkKR6M0xqoVjlkRO0WmUhaymTTTDnyIqZPfxGk/ahvvzKbxH39+EQDg+49udr+f1OGP/BDnjggyOXnP6uEYE96J2k3GRcYCr+DkMimgEByuGYQCMWEOFcoKn5UYSPY6dP2EnDFPc+WIWDodf72ObBp3v/9yX/bZSZJQeacO1F+lM5vGwFhJHA3UQnWwounAKstD05XLuGd1uWXYjqzymM/aRsPPQtIoN+oQL8tfozv2gphhH9MWgyGdmIEM4EzeY0xXQbFcZSaHbIekVVZQKKVBuv0cswhbEp8Vv7LSKTQD+cunv/FCwJ9VM7DaTQEfDkyFkOcUKR6wtE+nktTpgLfg82xHLp1izkah1H6vYDESmoECWBxnjKQsPo9Lrb6MUHcXUa9O2XSKmaPOWOOT0oU1A3XU39mNBoqJSVCEIonAonDay6m7SOkT9Z1u2oaz5k/GuQumMOXJ2DvnMU77ZlKWq2CL0u23k1mRPTsoDw2FDXZj5cxDZ+5SZ/apXWJlJcisFwT/e9lGv7cDibJigPZ3V2vxnqtqpwh/8oZTGTYlyPasgkOlS/N6aHj6e5Qra96gcjQvsOmqFCVVRAIg8paPiRnIidBxF3Lym2S354AqK9O6PaGYTllu2/JmAl4YU8WV7pydRYoxJbhmILb985wSQrOBMsm0so4C5TcDUZattzPDtIOjePmz/cIIBa7+riIXZ2VFcMaMZXljglcUKCslMkuoooFEoM+VJSF0+pMmbXQW86rdXmVQ22dFoDTLYNs247PCyyqqKFBWZuF070R7ncgqFURRVxS+kOgYjOnEDGQAz8H22KBW/uaGU/G6c+bivAVT8POnvePCZcqKVjRQIC2tY0qqC4YMXchSGCP35upmDGGECZf5tmpzvhWCxHVV20aKeCvxu7126Co2ochzGVa5AIJzY3Qzh64RM1865Sp+7kJS8SuIADsW2JwQKRQrVWF9cumU6/dRuzbN9JWjgOTSKUZJdtkeQfKsXDqFr7/9PNy9cjtuufF0Zrw6irHfidSQWSmxkWzUMTR8qc1FSWD6zKZT7mLpvAP1JXMOphQ5nZvmmMqlvedO7uSd9mtn3Xh1qLVvPuONPzpvHbRqY2Dbtv88KSmzYqbMpXzMX0loBp3WncPd77sMlmVhnORBakQGA+LkexT+BIrtR8KsGMDpsGNDValRx+cvnArLspjB3IhWH+izolEvESVdrYLbrdTKd6pEhQ5VlESLvJBZ4f6Og1MlFeIuk0Eq4mVcFk/zjmwaZ8ztRTZt4VWnzvTKIjtbp1lKEmWFPYXXC4V2xojo1GueMXEX/yr3rAyrrDhKpkwhe9N583HXey9jzqYBvJB20SF5Jhjnxq6b/bXB/C3NhIhNzBEzmasolPwpBUSHeZoqK3Suzehh+6WDm6MFCbPiD7M1qkJoiI4GkfWtTnbz60+bBQB49xWLGJO1jFkEauP60hOn45ITpjF9KDelajIrASHPuoxSK5EoKwZwOvQYIVYYsMpKeEWjEJRnRWNSOMIrl0nhNafXBMBbLzqOscu71GqVpZgB/y4TEIcNyuz3QPj8BlFivEx3WqxyQO3eKjv6/7zvMjz4N9cxURsZkmCPNwPxNPeZ83rRmU3jxJndmNHDZsSt3e9dWyKMGJP7JccqIR6LY7FmoBy7uAFyJYrCeVSjGWz5Bd0N646B4iqD887UvJNNW4wyABB/nKzYDOQxK2bPn0Z8oXhFp4Prd5rh2JGxlartjhsHrZprYoZVfK0jk1TK3D/90Tn41jsvwB9deBwjW/IZdq5Qpo5GtlHFTyaDdcCf1AxoZCePwaBOlBUDHGvMCgUduyJHVkBPiPBOiv4yguvimoHStXM4vvOnF+Ijr17M+GA4DqeiSAMa5tqZFSyA9fJp1k++Xo0eihcFxuvh45bl351RYcSH8lJM7sxi3pROn/+Pt/Ou/S8zA83oyeOBT1yLX33oSqb96aLn7RjF5p0Org+ozwrLrIhMXcG+As7C3Kg5wRm7TjSTq6zwO/AYCHYHTt1oVFU2zZpZAKIoZP0mIsB7V9NIyEw6hTedNw8nzuxG39lzmd943x/qs+KMs3K16jtSolWgMsMZX7IxU9HYGMyclEff2XORTaeEZ2rxCRjTKTZogM6pRvwGGVkoydfiV+zbP6gTnxUT1PvrWPFZoaBObjKBpadoBOV9CC6DmoGmdOVww1lzamUKQnF5AZBJWQxV2yXYrRcrju3cy2UQzKwE1ztqjJe8tkyl2J0y3RmlNZz+qFJgWX5mReX/MmdyLfEXVQLpLrBq19gNV1nJpJgdaKdPWHtKjUgBEpmBVMyKbLyGdbB1xpbjvOrPctp+we7AUTJppFY2nXIXV49Z8fxFnFBaOobCmoEA4OtvPx8AMDjOnhvF+/7QOjhdVq74fVZatXAWie9UrT7+c4oceAkY9fb/tB1dWcVFZvEmJZ2ITBO/QcDvL+YgDmZuHgmzYgBHCB0D5xj6QHc3OumiRbBtm0QdcDlS6m1rFLrM5Rqgk9nJbuvmCSG7tgxjghD4Vrh0tIpZaf8C5ZiBOrJ+h1gqbHTOdaJ9miKRVbxfhuwQNoBVQEW+D04fZNMW056OEuKYGkplTwFhzEVZgWlJI7Oq7PXNQ5dr7e34Czh0fRxYNhmcNqc5cGrKAOdgW/JMMNl651NzhNM3jeSY4hk+R8EUztGUl04+7MnCjYLWx2UaJZ2r47NCQd/BcTwuucqveK7RzZgoTQBgzqyIfPZoXUzKbTYSZcUA7np9DDIrdCHiKXdnlxAk/OkE4H1WHL1AR9CLMrMCEDqgOULWYUtymRTzLl050W7drpen8Fnx2dGD6x01nOiAjmza54NAo5V0NnuULRSVp8NgyGzqoogi2s/OLtFValwHW4sR2I5QFyXPUpmBdHJf6MBZ0HtcZUXCrLRfrrtwxjINK+/Kp33KLVXQHcWPztdKA8yKA76PPIUYvjo415ardsO+RmFRJJuiICVNdLSFClSe8NFqMhaT9qHUjK7xbPpeac6R3kEcx3SirBjgWE23DwA3LzkFAPDm8+dLGY0gIULpRz5jqlOkzm63KKFJab2cnYezoBQIpdsh8Flh8rEEOBsCaJsdncI1AxHlwvVZoREFhrkxMinLt5MsKsxADqiD82RyGnOpwgrhWiZazznYsd87iyPrs0J2k50OC+Y9syxRopzxNZ/zx6Ew3S3yZqCSu7g05gvTTDj9RpmVrlzGF+3lKL75bNptL6okRKGs8Pc6pssyx7zlMmwdGj0tOywc5bQWyu/346EwZVZoOc6c8sa/P3cQwJp+6PlcAGlbA1N8XpCiwIEvc28MhnSirBjAy7PS3nq0AzecNQe/+fBV+OJbzmFyJwDEuTNgphRInoAeLjV7lttlqaCzy3d2IaIFMMgRtCg0A/HMSvsd0NwFhtDUjtBkmBXD8VquekmrnIVExmZRUGaFZt4sC/qAKq682YH2L03N31sfM6I08Pwi8dk3nQnLAj72msU+Oj2TEu8mg+A3AzltE79dKMBGfdBdeXdOzay4rEb9/Wzb89VoRFnhff2cfnDqKGJ3yhVb++TjqEHZWH5+8dCJBqJgNhPkXen/WUFZP/nA5fjyW87Ba06fzXzvpS7QNwPlGHMgew2/GYuDAp442BrA6S7rGORWLMvCWfVTerMZLgSxntQoaJ7QkFQ+KZxnBgqeFI7A4BdOKkicBGWOEKEKiMyr3rZriih1sKW/Ufh3e4HVjhzUDMQfGe8wIinL3CF8enfOXTh8rIhSWWETgDnnzJSq/jIorZ5Js4oRvY7m5nCOBCgLzBM8e/TmC47DDWfNQVcugxUv7ffVc7hQbtjB1qmnL8wzJqDMCJNdWLBIUedWd6df7zf6ejr+TzrIpi3GLwWAy7blMinG2bRdocuM8iSIkKJwlA9dFnOMbNxcZb3KjieRH9bFi6bh4kXTfG2Qy6QwVqromYFoPpv6I6jspL6FovO42oWEWTHAscysUOTTYjNQoLJCM5NyZTj+tibMCr+LGS16p5A67I+fYk4xihLduTuCyDlRmiZe4oWUL6lSWxxsHTOQF+LrRKiEyTj6p5ctBAC85+oTCQ2vbwaiGWyzmZTrUMmb4rLpFKPuZ9L8ouUptfOneCnGj59eo77prk/lK+DQ5vLxqt9ntm279erpYJWVOCiuIhQZZYU9TsGXFI7kOMlyO326kMnSFpjCstjzf9g6UIXJ9u/yW+WzQmSGE+UjU0yd73Utrn962fEAamOa9xHSMSlZFuvPJfK9k2GcKKbOHKV9XKxU3Tb2Uju0f1AnzIoRjl2fFQq/z4reRKHaep5zsHV0BjNmhe2J6SSDqrtbdxbAOluS5XxWppDDwSq2jQyAkUJN6aG70TienTFOkpS5ykW9jcPkxfjM68/Eu684ASfP6sGdj26pleewBxpmIHpQ3bTuHDJpC8UKNQN5SsiSM2bjl2t31TLocuYAai5aNKMbX3rLOZjalfMxGvQelRLF11lXuaag2UxdM5BrImu/4ioCNVX2cEcr8D5ObjRQ1lvAXJaONFQjZiAGNnxKEWU/C2XntyrDtBUr1Za1rrNp6cqlXcWBn/cOgrJF83j/q05CZy6NP7rgOPxn/eTyssvU6ZmU8hnPnCpKwSDD8HhNvvV0ZNx+p6Y2Otad069joKskzIoJEmalBvZwOW8XFDSe6QmwPLOST+vPBtlu+t1XLgIAvPPShT67u5NILpdhfVamkwybznwdLjjMipdJ0+ezEoOzMwrEDOT0SdE1A9Wu0XX4A2ptc/KsHgCeqY83A6mibizLwmdefwaWnjEbN541x322zwyUSeGvl56KN547D196yzm+nSVNtw8Af3zRAiw5YzZRyIjPioRl49+LwlGUTZSKArPw11k7jnVyEAfKHGDNrrR9SpWqLxLHMUt0ZNLE4ZNVfIHozEDTunNunZzxwbA7RDkokbkLtM4/bLi+aenOZ9y6yn1WzJjMnnwGH7z2ZMzu7fAYSMffTLMsOq4dBVpLWXHeK+e9F1XCnE2QZXnPiMOQTpQVA7g+K8e4tsJMklzGRynLQJkV3wISglnhdzGXnTgdq//+Nfjcm87y7OFcNEsunWJSgNPPjtB0mJWefNbbgfrepcL83dakcNm0257ObtrZKYWl7V3lp8wrK2qR8RdXnYB///OLMKkj69s5u4tOOoUF07rwr39yPs6aP5nsWtX+Me47CpgVVZZe2eGLZsxKrb9Tlueb49RjrMiPhTiIdnK8Qf3933DuPAA1E4Qv3X7Jy9njc/hkzECN1emm604GAHzitae6ii8fsk4z2JaqVVeRCtNvjWCEKCu8XxUP02ggCqfsIqcc6jArDry2CW4cT75l3HamSliBJpvUlO2tQGIGMoDTYce2qsIqK505L2w2SP2mNuA8r6wY5Fmh6ah5TK87ZGZ5MxB59jziB0F9Ihzh7NKk9XwUFfh3VA5F7Jwc25azgUg0UI7bDTtjNSxtn+PYDtOdIwDfDr3IMSb8dWVu0eJZHF6BAjxlVJWll1eMvezGum/CJU1Lszth6iwJxGMXCrCLPwDc8eaz8bHXLMZJM3t80S2OH0NnLu0fSxEyKx9fcgredvECLJjWhYfqjs/OGCuUqJOvpzAxPmRDhZbNNXdRz+kwK2bRQBSeUs8qK0GKD79pBPTGNMMYjRRrz6bKiuPTkvUfaNpOJMqKATwz0LGtrtCdancu4ypvwcyKJ4yostKZTcGyahNVZ1JUqsEmCalpoe6zcsuNp2H3wDguXjQNKat+umv9muEi2VGlUihVKj5b9RjxFylVym2ZzPTwOUewuQ629fU87OKS5VgMV/kxKC/D0duyNOJ8VIjDCPDREFluBwroCfYcN04cZSWMGSif9SJDHBbLUWQcxTUu2kqRODQDtffumdnDfOcssvToBp6VrETos5JOWVhQzxHCM2qU/aSbjXHuAMlWNe9QwfPtcOsqya+k4zslA+8Po7sxoNGKXQZjeqTgKX9e+Lj3XnQsOMI9YVYmGFwzUFtr0X4w9GM+7S7U2tFAnBmoJ5+BJTmDRwSdycwLF+/Zte/f/6qTvGvTtfA8RzhTmjSTtoCSP+/AGNntDY6X2xMNVPJ2QI4SUeQdbBtmVlgl0sRhl3dyljnp8uYAp8/4PBP+OtlalDkda9TEYMKsUBaLmijKlaq7yHY4iqt+sU2FrB0Br02c8ULHEt9vDrNihQiDV4Fn1KiTr6MwFSu2uzFwIvfaYQZKc5FtPMIwjw7cjRXnsxLkrMsyK/7kljKMFD3mmE9IB9CUCMGZe1uJxGfFAA79GKP+awtoNM2kjqy2zwrdOdEypnbljNpUZzLz/hKOMBH5XPBJyUQ2XV5I0UgBoD00qSjctBEmhIJnMeiCpQtPYWT7gN998iyYLM8EVTL4Y+5VzArLBHpO0yadJgvtHScmKRO/gVZAdW4SP15UOXsqDY4lGXjfmIKAWRkrlt1+7hKc49VMOAxETz4NPoEdRbVqu0PJNFs04DdZ6yo+VFlxchDpjD1qBsoIQpfp77qseSuQKCshcKwrK1NJuO+MnpzPWU8GyqzQMlIpL82e7KAwinJFvOhR8P4SqqgRfrEcFtCkfPTPGJeLpR1TmfFZ4cw2jaZH5yNvXFbRYPD7FUaZGYhlwWSmHSqcS5Uqe7K04j2ZAy7zGanTtArUhOnUo1y1XcUW8JT49ov1GlQmMkchccyGY8RZm99tR5FqXwS+3z1mJe322ZEx76TmVm8MhjUdbHXHoQyeGdRp7/o8CTAp0XxRTvJELZ+VcW8zxmeqBoDB+u+9HdlY+awkyooBXJ+VY9wQRFOpz+zJuzuuIO2bmgHowmPbttuiOnNCtuhR8P4SLrMi2Pl4h6bVfVYKNQHZTZkVTgo4VKpJMqaoQX1W3MWnbLY7k0HG1BgxK1wm1IrrGC1mTPh043zdKUNSrFQ5ZkUuyiaT8Tq9J+/Z4Q3sQDSSjSYS3DdYAFAbB7JD4doFR0EXLXquT5Lrd+OELnusp6MMOxbQ6JUVdm5R5tVJvLf7yHjtO6Iktqp5GXOwwLfDgS7DJ0MmzSvrte+DTDDTSF6pGT1OdmexTw1F0HsN1hXESR1epGcchnSirBjAPcjw2NZVXMoRYPMlBKUdL3FKhpNE7KqTpweeveGgWtU7p8RHrSrYmAxnj3bo30kdGZ/93sGR0dqEdkOf2zCbWT8KzmzTaDQQx9R4Piv6ZfDtyve/e50vr4f4OupQXSqzzIpqFzqFHKo4kzCBJl1WYiLZPOVw++FRAHW2MUbOiABVWP1ino/4cZ1Yc2nXAdlhFpplBuLnaIH4zTiM5Y56+07rynkbmhZHAzH5SITMiicbwsw3fqMhG/88Jnd6LqdOhGOQ/AS8fu0ijBH1WRkcr8m23s4sOZah/WM6UVYM4IzJYz0aaHp3DqfOnoR0ysJVi2eQtNlqrb7ERSd8850X4A3nzsNfXrnIHYhBgohGJohs8fxvpQATRO1aVnA7QopmruRTqh+qh/w5WXPbMZUps5LndsNeBttwZTsLifMMp19MHO74xUgWMSHzbeEXWcuyGKVMN1kZZVZm9OSJHV77VXw+Tw674iymU7qyseNby4qoOZ/PChlLrrJSNwdUGszZI4PstOFsOuXWYddAjVmZ0uUtnG0xAwl8Oxw0yqw47KzjB6fLik7u9Mb1nN6OWl00GsdxWK754vjf6+BwTbZNpWO6/bpKEg1kApdZaXM92g3LsnDXey/F4dESTp7VI8yCKIIn8GvXX3PKTFxzykyUSiV3US0FrCD0GWozEEut6jgblutOm84C3ZWjZiBPERsrVtwJP83AsS1qUD8KJ6zTsTdXGzQDdXO7a9dnxaAMmlXXtm2vDzglxAnBdN5HxYLl0rVQ8vFS1X23lKVeSGeSwxAXTOvCS3uHau9k0Gd8Bt+ejgwOj5aw/dAYgBqzsmdwvF6udrFNhcycBtC+qV0zTjLY+piVJpmB0txC6R2zYCGbZpcm6oTfegdbcaZXB436rDjtPeK2d7BPHgD82WWL8MQrh7CUZHfWYVac53RmxYzRriO1MT1vSmfL21yFWDAr3/rWt3DCCSego6MDF154IR5++OF2V0mIJN2+h+k9eTc1u8pTnkKlMDjzMqgMXcrVcT4r8NSq0AzkMSs0wVdXLk3MQF69dh6p7aa7c2n3/KD2ONg6ESopd5fl2JsrIZgQCufgu6E6Jez5rOiX50RvjBYrDIvBK5kmO0vHl2F4vAzdEM/jpnbi9Lm96MqlsfSM2do+VhT0vCLAS8K1YU9N8ZkzuYP4XbVfsANBfloes2LbNhOu6rYxt3hGHcbKnzbs5eFJue3rYP7UTtdXsNU+K90a0UBA+NBuJ0eKO/4lvl085kzuwM/+6gq8/1UnaZviAS84gJVvnlzdWVdW5k7uDGUybRbarqzcfffd+NjHPoZPf/rTWLNmDa6++mrceOON2LZtW7ur5oO3u0y0FQrdiVKuyGlpZ10KYmd0KVdnoXR2R96uXmQGotkyawLKspyj4f0p3jftGwEALJrRrR0J1QxQM1Bv3X49UFdWZGHCuuitL1iDY07+m9r3JrLYMZWMFMpM+/F1cpWagmPCkpvsqBKlYg4oLMvCTz5wOVZ84losrpsva8/Rfxe6kAJeRNxTWw4BAI6f1kXOkdIvt5mQnU4OgDmeoWp7/ZvLeCaYoXE291HASQvGcJx8C2W/mXA6YcMAYNH0Lt95Rs2EbdskH4naZ8X1oQupzDlnTTnKodPeJiYlp362Hew4PkqOL+BNsOOlCtbvringp86ZRJgV7ao0DW1XVr761a/iL//yL/Ge97wHp59+Or72ta9hwYIF+Pa3v93uqvmRMCtCqOy5FLzAp3CVlQC/F13Ktdvd1ZeZckXPptFA48XadZ3ZNOMjQZ/7m2d3AQDOXTBFetBhK0DTk/PMimsGCjlYex2loB4ZFSYpHGVWVJE7XXVhPVpy+kourF0larysvI5HTz6DWXW7vq6PFYWjaDtJBRfN6GZ+P/u4yS3f+QdBZU7IEd8fnq2cXW8nxxxQaXAsydDJ+VlRv6CF07oYf6sLjp/aUpPEWMljA9nQZf+YCRMpR9FNzEC2bYeK5KPXBvmtuDmiSLI7p4/Xbj+CYqWKWZPyWDS9i/gJtX9Ut9VnpVgsYvXq1fjUpz7FfL906VI89thjwnsKhQIKhYL79+DgIACgVCqhVCoJ7wmDQqmCz/z6RTy9KY3s8bux5My5qNpOCGYl0mdNdFh18VwolZXt4iyuactmriuVSkhbtTKKZXXbjhVqzl+ZlIVyuSy9Lpeq9dVYqYJCoYiScxAdbF/5jiwfL5QxOFrzO+jMpuv1qte9WBtfj718EL95djcsC/ij8+Zi7Y4BAEC1Wm35mHCEfApV9NYPVxopVnBoaBTFkscQOfXi/1fBCTQYGK29d7lSe5Zt8J6d9YV9aKzo9hsAVCtllEqe0M9ZThRWbfyU3EMi/X3l7EKPjIxjvFDbfadTllHbO+O1WNKfx2N1pTeFWvudM38S/qf+28yeHC5c0AtHTSnX277dMmLcqbPlr4s75otljI17fWNXKlgwpdauWw6OYGy8gEL9XlE5jaBu/cPIONfv1Qosu4IrTpqORzYdxAnTu3D+/En4xdO19nXkr8l4NsWR4doaY1lA1qq6XLpIxjl/W5bZOHTgjP9y1cbIWMGbu4LxL4Nd8WTheKEIkKSbFOVK1TuGwap6crf+Xqs2HwQAXLhwSk2+1pWUUrk5Y9qkvLYqKwcOHEClUsHs2bOZ72fPno09e/YI77njjjtw2223+b5ftmwZurq6IqvbL7aksGJ3CoCFj9z9LD5zwRocPJQGYGHN00+jurX9mmZcsHd3CkAKL7z4IvqPvCC97qUtteu2bd2C/v5XmN+cHfvmLdvQ379FWsahAgBkYNlV9Pf3S6+rbR4ysG3gV/f8Fpu31p69aeMG9I+uZ64dPFLr16dWr8bGnA0gA5QL6O/vx5FDtftWr1mL1I41+O762t9Xzapix7OP4sXdFoA0du3ejf7+ndL6NAOjY7V6P/n4Y9jVA0zOpjFQsvCjXy3HQLFWr4EjR3zttHz58sCyD4wDQAa7j4ziN/f045V6+23ZvBn9/S9r1W/n9to96za+gnvHN8ERN8vu/R2za3aeNTxWRH9/P3bVx9O6F55H/4HnmDKH6v3x5JpncfjlWl9VykXlWOCxfVutjPUvbUT/+Aate57fWWvPfXt2ob9/B3JV4JKZKewft/DGhaO4f/m9GB6q9ceqp5/G6VP02rmZeGZvrc6H9u/ztc+2en++tOkV/Lbg9c3yZfciZQHdmTRGysC/3n0vcqlaO4+PjRm1cxA2HKjVb8ee/ejv78fQKBnPzwGvnQwcd6KFM6YOYtm9v8OO+njasGED+ke8OdyMdt4/BgAZ5Cwbv/3tb7GvPiaff+FF9B9mZdzB+vi1q5VQ7VO1gbSVRsW28JPf3It1+2rtsnPHdvT3b9Uqo6b71/qw/3f3okOsq6Bm1a1d99D992F7fRys37gJ/YWXcN9Ltb+zQ7vQ378TA3XZuHbtMzhnWvRtPTo6qn1tLKKBeKck27aljkq33HILbr75ZvfvwcFBLFiwAEuXLkVvb29kdTp/YBwf/p+1eGbnIMq2BXve2Zi6fzc2Dx3BhRdegKVnzA4u5BjBQ794HisP7MLiU05D3zUnSK9bdc96YPc2nHrySehbstj9vlQq4fd33gcAmDd/Pvr6zpaWsfXQKPD0I8jlMujre630Otu28cmVy2HbwNXXXY9Hxl8C9u/GWWecjr4rFzHX/u++1Xh56CDOOvtczJyUB55fjWmTe9DXdyV+cfBprB84gDPOOgd9F87Hl9c9BGAcf/X6S3Hxoqk49OQ2/GzLesyZMxd9fefqNVhE+MLzDwLFAq666iqcOa8Xd+9bhcdePoQZJ52DEzoywEvPYsb0aejruxhArZ2XL1+OJUuWIJvNKssuV6r4wjO/R7kKXHT1q/FcaiuweytOOulE9L32FK367XxkM+7dsREz587Hq65bDKx6CCkLeP3r+pjrDg4X8Lk1D6JYtXDDDTfi5wfXAIcP4Lxzz0HfBfOZa1dW12HNwe2Yc/zJuPyM2cCzT6CrswN9fa/Sbrc1/evx8J5tOOHEk9C3dHHwDQC2rHgF2LYJixYuQF/fmQCAN3LX/PvWx7FzdAjnnnc+ilue1mrnZuLQk9uAV9Zj3tw56Os7j/lty4pXcN+uTZg9fwFeff1iYOUKAMDr+25EKmXhycqL+PHKHRjqXYQbz5oNvLAKk3q60dd3VWT169ywH3duXIOu3sno67sMn312BVAs4tprrsapcyb5rn/sVy/i8X07cPLiU9B33UlG49kUG/cNA2sfQ1dHDn191/lk3I7DY/jp0zvxxxfOr5lt1jyCbEYtk1T45w0PY8fhMZxx4RU4sPEAsOMVnLjoePT1na51f6lSxSeerMnQ61+zhAlrptg7OA6srM3DN77uRqy79yU8uGcrFp1Qm9f/sfUJAIN43TUX4dWnzsQPdj6FLcNHcM455wI71kbe1o5lRAdtVVZmzJiBdDrtY1H27dvnY1sc5PN55PN53/fZbDbSRlw4I4ufvP9SfOjf7sXynSms3zvs2qKzmUxbhVDckMs4acYtZbu4TnxZf/s5O+1qQBlWqvasTCoV2Add2TRGihUUqxYco0Ne8GzHG79YtVCqWvXvauPJfTfLQtVKYWc978Mpcycjm80ik3GmkLrezYDzTrn62D9z3mQ89vIhvLRvBBcumgZA3E46cyWbBeZP6cS2Q6PYNVAErJqZKZ1Oa7/npM7aPB0tVWHVQ1EzaX99pvR4PiwF23LHiaivZvXWkl8dHi0bjQWKXLYewWXp95ljCBDVyYHji5NK1+oVtUwyhV13SRTNt966g/BIqQqrXt+UBeTzte+vPXUWfrxyB57achh958yr/Z6Kdow742OsVEU2m3V9NTryOeFz0nUP31SKHYPNaGe7Pt6z9fHqyAHUx8wX730Wv3thD9btGcZnXn9G7ad6XcJg3uRO7Dg8hn3DJdf5JZvRn2vptMf0p9LyMVpFzezSkU0jl8t5c6Euv5zjDWb2diKbzXrpAdJpVBF9W5uU1VYH21wuhwsvvNBHLS1fvhxXXHFFm2rlwbIszOioDYJdR8ZJ6HLiYUuhHw1U+52m2nfLMIwG0nE+68p7EUFu5IggpMELnS27GWDzaU9YOfUaGCvBtmuyZHo9v4qrZLXBAc1xonX8Vc+YV2MWX9w9qH2+iAoLptUUgx2Hx9xwXJM0EpNIvg439buggHwm5WbxHKIhyYK+ml5PK35guOiFZxtKMS8ayDzPiqo93WyfcQidgDoRInXqLAvy35xz3BQAwCv7R5oWutxZn3djbsiuPFqw9vza/62Ya3youjNmnO9/90Jtg33/+n1ufRppnzmTa07NewbGjRzHHaRSllaQgpNF2nkf/uwzJzP3lDoz4zqNx8DBtu3RQDfffDO++93v4j//8z+xbt06fPzjH8e2bdvwgQ98oN1VAwBMrmfq3js4Hiox1rEA82ggReiyYKJtOTCC1/+/h/GjJ7YaCQZmsXSyeQqeTaMS+EWJZrd1DwDLZdyFKUzOjqjAt8XJM2vU+daDo9rni6gwv57Ce+eRsVA5hhwqemCspBTAlmW5odeDAdc6B7YdGC6EilCi5ZooK06dcor43TBKUDOhakeaiEy0AZjd24FcOoVy1XbP54l6j0Y3CYCXEFKWmbqV0VZe9Be7aSlWqj5l9GA9m3Uj7eMoK3sHx6VnaAVBRw6XOSXMOQeqUKrWZFw9fNoJzY9TOH7bfVbe9ra34eDBg/jsZz+L3bt346yzzkJ/fz+OP/74dlcNADApW+ulA8NFzJ9SG1AJscJC/2wguTBSMSvff3Qznt85iOd3Po/+j1wNQG+HP4mE85YVz+4kScl4wU0PWxshpzE7SLVxgaq6i3Xt/1m93kKuOmVaF8dNrTms7zg86ip0JoqBp4CQ3btkIertyOLAcJFhVkR1dw5sOzhScHd7pm/ovENQmDyFE0GhYlbaqbiKoMoE7GUorgiVmnTKwsxJeew8Mlbzc0D0+aWcMTXKMSsyRsH9ugXtW+RYHnq44yhJHAkA2w7WnEQbOY5g1qTa3N07VHBZW9O8NqkUgIqaneY3jM7p1uPlipv2AKidCwSACRdvN7PR7ucDAD74wQ9iy5YtKBQKWL16Na655pp2V8mF41U9Uih7zEqirDBQnUhKoaJ5XWVFsOi/cmDE/TzqhmMGd4KXk6NEqG45szJarPh2HjR5lrPrcDJ81updf/c2rE98Vtnp3bWU5FUb2D9UC72MgpreO1ggSeH0y2OZFfVCNKnDkFkZKrrzsTXMCnuulQjORridxIpt2+5BdF47+uvsJSIrufM2zc3Lqd21/js02jhzIIKjMBXKtXBap91kY8Q7VC/aeojAHw3RkXGUlaqb2daBc05YI83j5LbZOzAe6hwuWleVssyfceUoYWPFineyeDpFjrJoHZsVhFgoK3GGo6yMlbxdd5LBloU2s1KRC3xHPokWEDppnYPNdDYxvYRZUfkcOHT0eKniOxk4T7Js0oPNHDjv3g4/BUcmOQpTJp1y6dsDw46yEr58N9HceCnUuVi95H5VBmH+2kpVzgo5mU3HShW3P0ynY1pwhEIQSmVWyIvgjNN2moG+8+ArOOfWZfjFmh1Kdq0nX2vvEYZZYd/NGUuHXTNHtHLPyXAMeJmXAfUBpUBrjjNwD13NOIt6XQ6UKm5mXweOGaiRjYHDrOwbIu4GhuXpyOEyJwddE3jZy79CfQqTDLYTCGQ+hRaORztUO9V9Q+NY/uLewMyMjg5REuRAd86nAYBDbrImHWbFSc2uPkemI+s3AzmT2VNWKu6OqocMivaagfw7MIehcARqI+sLZUY8k5M5s2LbwJH67pzfvTtw+mpwrCR0+HTQnUu7C8eBOntk+ophmJWS4gRjB67i2kYz0P+7fyMA4Ov3bfQdHErRTVK8y1jHKXVl5VDd6TJqsZfPpF0foIExLzGd3MHWcfaMuCICOHIox5uBykRJruOAgUySwTkZfLhQ9hhTwzJ0xjW/aaDmrWLFr6ykYuS0kigrAchY3uRxFoCoveInOtLEr4PHzXc/g/f+cBV+/cwu5RkaKmaFCgdHcOr4nlEzkHewn/86Jy38WKnio3+diVssV8kpx56y4pmBWjOZx0sV1xQmSvPtHDMwVHCyYIYfq54CUfb8QwyKy2c8xcKhymWHDrr+LTSNvmDRsiwL07tru9D9w+FMXarxSnF4pIjfPLsLhbJ/XIjgnRPVPsHu+H9sOTiqPBDPcbAtlqtuJmR+E+Eo5aP1sWQadaUDR2lyolAAeRu3cpdf8plL6r4dAjPQsLsuhH8ePY8prOO4s3FSMYYV6XtVvMy2gnmXMCsTAJblLQDOoExUFRbuWSuCSfLIpgMAgJ+s2uHZYgWjzmVWBLOC0q6HRvQXKM8MVPYUJYFE6SIhlLyTHzUDiUwZDmPdCjPQaLGM676yAku++hBj46eOfT0us+KkAA//PGe3NzhWQtWNLjIso94HRwJ255RZCQpPn1GnzB2/HNN3dHegAUrF3//yedx01xr81xPbyGF+8od5CrdZfZqFqoaCDsD1ceGVQ2fXPVJXgJph/nbG62GirMiYFde/tpVmIM63Y7xUcUOtHYwUG2cxJ9XNcgVijgk9rlXMSlViBioRnxXGDOT4rLRfW0mUFQ24u+tKuEF0tMPNQcA52NLY/GKlqgw79gS9X9KPEe/7IQOFkTIrKmbAdTIrVXy7esqsuA7CApq0FczKy/tGsHtgHDuPjOHl/cPEEc+7hj8xtxEWsKe+oBUrVTL2zcrzlBW1k6ajWA6NlwPD02fUoyX2hXQidk13AT4r9zy3GwDw3YdfEbY1j3abgWS5METtkyO5bRx/EV4R8xzPG1+MZXA2gq6ZMGVJx5jTb600A2Vdc7C3qPNRZA7z28hco/47JjKOIq2hhPMm1nzWcxwuEgdbB6086ToIibKigRyn6ScOtixkGj1VMlIWoAoWUoUu0+8cmtuIWRkvKRP6dTLMChti6wipQrnq+QBwIZ5Aa5gV6oR4YLgg9CPpJrllADREA+aznnhwdpOm8thhTJyds6zfJhHFMugUW/6EaVM44zXIDOSgVKl6zvWKBmi3GYiffypmBfAWyIF63/A+K3xocTOknqNcO2NblQjNZVZakhSOZ1Y8M1CJk1GjBX2ZJEMmnXKf4TBdpqHQqqjMsWKl5jfoC8kmZiDXZ8VTnJwaJGagCQI+AiBhVljIhD9dXKtVkCyocmZFtIAUCa9ussujDraq3TqlQvkQ25zIDER3HpomhShA2/PgcFG4qLt5E0qNLzD5TMot28ktYSqQHcXi8Kg6YsI1AxHFUnZtPsu+o7nPilyoi1Cu2kozIl9uuzLYFjn7kzsGJO3T7SoKtTnF+4rwGWabkbnbqcOghN2hcE0STWrezQdG0Pf1h/Gjx7f4MthSB1ueWYnCDASwifrCQOazsmnfEM797DJ88qfPumZ2p50pqyyKBvLmVvu1lURZ0QCfHj7RVVg4KezLnLAcJbbd2o659lm0uDhHlfNl8N+NGOxiaO4ON0+I4LpOkRnIoUlJNJAoT4zrYNsCPwWqrBwZLQoX9VzG2wHyv5nCsixP+Qm5u+7mBLDcDOQlkLMVfQV4bNdYKRzbo8Os0Ki0tGV5RxsonuWZBM3qExWcxcZBkCnQx2pwDLKjrES1GAvr0OE5VqvqSp/fLF3w3x96GS/uHsQ//OoFX6oDNtMrW4Ggsa2LPMnlAkSXP+g3z+5GsVzFT1bvIDKsNq87yXs54yefpj4rtf8TZmWCwJdbIdFWGGQlk4Rq+DUvd7nA90KX2TIqZFcLeIJBZyLTXYMq0ZK7gyz5FRJHgBTLVS8DL9mBtnI3TXdcI0VqYvPeiSpXQOMC1A3rLoWzyzv1GQtgQVhmRe2zQhNZhamTTlr8Aln4bfgT8Ing7GzbZQbilRXXnCCpsuNYLvNZcRKhBSmPjcDxixrUcAj39vjNad899RxOgMeUOpsRai7hmYuRkOOQR45kkwXM564sys3JkwN4G0g+dLlYqbpzVOhgmygrEwN+ZiXRVigy7rkZ7Iimu9PxUkV5vozTxHyeFf7vUQPfCUfAFMtVwkL4r6Pp9ktuuKffDMQnVKqV1zozEHVgpooLfSeeWWl0pDoLVlifFcdkM+bsFiUSZxJjsoPyWXn+HY2FugazQhb+Eom8EoXdu+U6u9A2bUMLnLLiKnMSbaU7wF8ky8u9JpqBdBzCm51nhb6fkwTQNZcIHGydyx0lsVFlhTfhmkbeORss3kxFQ9cdxSXD+eIAXgQho6zU/4/DERKJsqIBPpSukXj6oxFO+5Q4YVnklBXV7lSWFI5fUEYM0u3n0p5zbFWxPXSo0GLZi3rxHGxJNBCXowBoLbPiCFCANbHR9sxzLGCjAtQRZmH9FlwH5ZI6/JVmCHWz5UoeRRmzMHXKaPQZHYd0/KhyjbRScRWBnztBylwHF+3DMyt8YEEz5J7j5KtjSvHyk7WAxXRNX5wZiPiudWXTzD2Nm4H4jYZZgY5c4tlpqrw42XYdmU0jfxyZQsdBkm5/goE/abUZO4yJDKd9eI2eKi8FmhdE0H4es1K76IVdA3hk4wGfAlQI2KFT5CmzAvmzO4nQcXLp+B1sK75DwAAvz0pLmBWyGA1LmJU8J0AbpVZ4xcB0wfKbgcTXuWcwVWzlOGHKDOlHo5MUjiraxUpVa/fsmoHalGfF52BbVpsnnDYfcU0D7KTi/24Go+zIjoJG+7bS1dNhepz57bRVuWq7Y6GT5Kqh9QuLHO8cH9IXy6+0ehubw26IeO1ZmXTKvc9VWsmDW6kgBqHtpy5PBCTRQGpkJWYguhiUq7ZHnwrKcDZxxXqY6Nv//QkMjZfxkw9czlzn+mJoiAZPifJC9kTCME9ozyEuQRabFI5lXWh5rUi3LzcDee/kU6wbFKFZbjExLc0vgMUleGOo6jIeusyKqQKlkzyL90vQCZlv16nL4/Vzy3iflUKAKdBh4RzWizcX8WagZli/swamD6vJ7Vuq+OeX099URji/OT4/Dho3A3nsDWC+Kc66gQ5s+1DzoMue0A1OJoVysYKxov8sqXYeJ8IjYVY0kEQDqZHhzECb9g1h3+C4IJRSzoq4ykq5ir2D4+7OZsOeIeY6b9cdXC+aJ0RFiadSlmuGcKKNnIWHTQpXezilx9tlBhqWKCv0nWu/NfZMp29dZsGwwHyGd4YVX0c3BEWFYgkI5mNIB1vROVQO+N90HLvbIdjHS5V6VuMHGdOg8xsQ3I4yRSHLfdEMucczK6qneLv8JlQErIOySlkZbpqy0tg645rjFcyKaEzkfWZVUqZhTqJmImFWNMA7niXMCoucayutYsfhUfR9/RHMnJTHZ95wBnOdyu+BzlMaojsgSfyls0BRlsGjxMXXdmbTtXM/OPs93e0I86w02U9htFjGd1a8jDeeN9/nR+GANoXfZNnY87OcycS0ON4OL104Sb2DWBzeh8y0Tpm0XADffs+LSKdSeMO5c5nvPTOFvNx2ZPvcfmgUu+tRLJsPjDC/BZkTgsLceWalGWeiUTNr7Rnya5vtP0Hn1xCnrGTSKaRTFipV21VkOnPR+qzwSrgxYyjxWXH6F6ABCkRZ8Smt3m8ZCVvTDiTKigb8iYoSbYUiS+y563YPoVipYueRMRwcLjLXqcJX6fpDM5MeGin6rq2VEVwvKmC83YX4xpppoeSbzKyDrchnxdlNB9cnDD73mxfxP09tx09X78CrTp3pfk93gbQ9fSbLBscqn3vD2MHW8RsyYEuKATQ470thuoh6dDnbafuHCviPhzcDAM5bMJn5raDBLOmkO48azmGOgHdWkoPxAD8Qj9UQ+/60YpNmkhfI9VlpUvtSJlh0OGEuncJYteJuaHhmpVFfxkYZQ1k0kNO/ADVner/zPmD0tyzZiLYbiRlIA7yykjArLFx/AxLeC3hHpztQOUTSeTpIDi48LFVW9DrBEcieMBRfR9+BXscmhVNEAzVJgDoHQe4aGEeRmIEKjLLiXe9XLhp7fibdmGJAT6hW1Sedsnx9I7vWdxqz4TvKoiZ2HRlzP287NMr8VggwqdDfWhm6PDDKHsFA4ZijgpyaPRMpx6y0wFfPm586Piu1/6Ocag9v3I+/uHMlNh8YYcysLhNLKuQo3sN1U3EX52DbsMnVp4Sb3U/H9e/X7cWSrz6IJ185yDArohO2+SSL7ObHMS0lzMqEgE9ZaVM94grqhU6TlTme5w5U0Qkp1ISRbbPMCl+Ge72m5MxnU9wZReL7nEnJmyAcgV61vYkuzLPSpAWKLhisGUj8Tn7FurHR6vNbMCzOT23LC8imU5wSJmNW2O/DOtjK/FIA9hRgQNcM5CiuZvVpBJQNoKeTU8jYIKdvZI7KUbN0qjroOJU2w8H2H3/1Al45MILufIaNABOwUs7GpVkOtr5zkYxD8j0W5LO/eRFbD47i8/esY8ydIlO8lwvJ/1vGNQMnzMqEAD8Im2G7ncigYX1U4B/hBL4qMZtlecLRyWYJeA6vouu16qa5O/SYFXZHRZkBZzLT0D7nXZq1m86S3RYVGEWJz0rU1D3PYoRVDHTqo+vIzrM9YfNR8D4rVFE6winJrhlLaQaq/d9KM1CRifQQKysyBcBvdmB/9/kGNZFZ8Ux/8mubYXJ9pe7n88z2I0xbipjYXKCy0lhd0g36YrlmoEoVWw/WmMHndg4wskmkmCrNQBmnzPYzK4myogFftv1EV2Hg0o/lKhOlwgt8B/Lw1dr3g2NeGU6adx66CqN/Fy57tniHRwW6yAGt2X4KNLW4yAxkWWx7pn25MRpDo4oBz/So+o1XLKV9xZdpKMVkURNUWTk8Inbs1suz0kJlhbzDWEm8ikvNQAHt7TcDRS/4TJx4vTOdot/llytVpi0LAhaYN5d0+HIaRcushPXF4lNIUNkkOqKCfy86Z53NUikG0UCJsqIB/wKQaCsUjvAvVqruZACAI9JIHnE5jvAcLnj3jUsEsO489u1WAvwgPEfQ+v0pyxUiY4Lw52abgWi5jDCV+FA0KvB4NBpdZLI71/WRiIpZ4ZUV2r5y86O8XPdQyyYzK7Zt464nt+HZHUeYpIljEmZFfnq12ozhNwNFD7/CJL9WlkckChQrNmtmLfmZNJ6BMKm7Dhr1jcwQZoWCms14+QYIkiwy0UBixb4dSJQVDfj8+RJdhQEV/jRx2VhRbMIJYjdEDmG6ZfDQzcLpPFt0krEqtK8ZDrYDoyX81xNbMVosCw9xBOQ+FFE7g/vNOKbMiv7OOcgs4dapQfOEJ9Rt2LaN/121HY+9fMBVAAEv3ToP1dlArfJZefzlg/i7XzyHN37jUUbB4vOsePUSl8On0+dfrRWBBSYRMM1cONMp1qQmWtR5Hx+/iTRqZsXsfpl5U8T0qXxWRNFAcTADJQ62GvCHLiegcAZ01WYHtVzRkJXjMBj+JEZOCLIDXbngEwAS9Vy1S8plUhgpVlzli44HnRN8TfGVZRvwoye2YteRMeY9h4kDpSNMeeHuUy4arIs/GsjwfgMB7D+DS2YGasw8kSG5Y57cfAif/OmzAIDP/8FZ7jUyRVvr1OWqDaSllzWMp7cddj9TxV5aZ8ko8DHG3LuZmPDCwoS543P+hEWlamNwrIQpXVn3u7RlCZWgtGLTwjNPjTMrjTKGdXa4zDMr/mtF6Q5ETsVZCVvTDiTMigb4SZowKyzoIkMVFP4UWAdBKdfZjItV3zMAfcGpK3BV+UR4m67IDFS1o8v/8KMntgIAvrXiZUZcUf8dmbNy5NFADe4eTRY83Z28v0yjKjEL5M7DXrgy9bGSmR/jYAaibASNnJMxK1KGKqAdeRapGWLPZHxExax86mfP4sLPL8fa7Ue856Ys8aJO6pery4GSIIUBEEFOo0bNQJLIHdFGilbduU/EJmUSn5WJBf9uNdFWKOikLZSDTThBPiuiMvjdtO4C5VNCJNep7PP+tOR+ZgVoDv1PyxTtnH0+K1HnWfHtvk3v11eedE1GUWWwBbxwegA4QJIY0tBwto4qM1Dt/1Ye+naEUVbMfFaCFAWehWzGJs1E8Ywqm+pPVu9A1QZ++PhW9zvbFi/qqki7ZkfehU4Kx7WPaDwyWWpTLCNjCZiVxGdlgoAPV0yYFRZyZUW2O5UsQvUwOarkOJRv2NTfQVS3+2wFg5DnckEwygr53IzEcBVBjgRZPYHoncH9DrKNMiuqa9m/ZZc2mqiOLgo0vJ5mg5U7dgebgZot1wukbrT+4xImU2b6DMof1YrM3f46yJ/hnVMTTQMfJAknZYtxWrIxAURmoIiZFcP76WGgFCKmT+RE60BkIkp8ViYIeDo0ybPCwsk+ShOnAeyulSIoi2xBsFCEXTR1fSZ8gof8qTqzg0YbVao2+GhGXZQrVWw+MIKTZ/Uw31NlZVTAVPHN0KiTHg+fom54v0kWVJ/ZQWaya3DzQFk6miGZmlRM/a2A5oax7x4Ywxu/8Shef85cdJPMqQNjXv15XwUHuswK397+/FJGVdaCSV/Kzr4xAWUZqpJIOwqR/4ZXHzUTZQofs2hYnqx9xD4r5D6uDxgTkeu0mzArEwIJsxIMkb+JTGYHRgMJlJywqah1fThU5834TkMVUKhAY45/33hgE5b8y0P46eodzPeUrRG1p59ZiXas8u3cSp8VWR83SpenUpb7LJpxmR7zIOtLlRnIUbaakWflzke3YP9QAd9/dAtjouITL4qgq/Q1O7JMhDA+K2EWzpFCGZsPjDDO+3RuiTZIAPvOIpaW1j9yn5WQDra8oi1yjhUdVij6TWZaagcSZUUDUUdYHI0Q+ZuYQjbZAP2wVh66TEMuI18AVcwKkw6/gXf/2n0bAQB/94vnmO+Dooz492k01JiHn1U0u98k74uuYhmF46dTL7rwy/KUUKiPC2ieYKc7f9EpuirI+ixIGfG3cwvMQIpHuNFAIdr3I/+zBtd9ZQWe2nzI/Y4q/zIWmE2Q5p8LjLLSYPM0qhzyiS0djAnkqYpZYX1WxKaldiBRVjTQCkeziQ5n11OQ0OcUJnlW3PJDhlFqRwMpmBv+MD7ewda5NgonNH6BDvKD4d8vcmalwfJM6qNrdoiC6RQJdpFQ56FjpmiGYKdKMT2OQuZUS6E/5nmzRvOZFZN53Ug00O/X7wMA/Ig41VJFVYcFFskS9uiNBpmVBhlDVwHnxrFInqp9VvxlNhouHgUSZUUD/kRQibbCQ6Vo8AjKdSJiVsI6VfoOB5NApdTwZiC+/m5SPMMJbds2dhweZezoPGUbxKz486xE62Cr60ciQ9CCyFzri/LRY1bCLBIi5XqsGDx2VWagnOszEI2yMjBawl/cuRJ3PbmNee7B4eAQawp9ZsV/Ib2mGb56Jg7YLnPVwMJJlX/Z8QRMfVLqRZ1tn9DVAtB4SL5nRjcbx6oovDg52CbKigZaYbud6FD5m/CQCT2VshL2UDW/05pslyk3LQSdHEzPRjLB9x7ZjKu++AB+vHK7+x0vh4Pkss/PIOLQ5UYdbPn6qASwL5+RRDpFkfdIpFw3bAbKNL6YUvzqmZ24f/0+/N0vnmN8KobGaQRQ8HyT9ZpOmDujGDZB7pnkBcoYmoH2DY3joZf2M5sBnezYFKKcI7SurBmoQWalYZ8VJ0DB7L1E5i23TklSuBoWLVoEy7KYf5/61KfaWSUhgkL8EpCj3jV2K7L2cxQSkd9L2DBBXX8jldAMVlbC0dOfv2cdAOCWn3t+KvxiHuSsGXQ2UKNjtdETx/2CUH6/7jzzm2XN39KpF12wdMxAyjwgqWiZlV1Hxt3PtG5DBX9yQBV0mRXRdbStmyH3TDaCpmagv7xzFf78P5/C/zzlbQao6cfUhCY0A0XKrDSY00iSwVYE5vBTX1STn1nhD0dsB9oeuvzZz34W733ve92/e3p6FFe3B/6dXKKu8HAWSZ2dnjTXCZfPhPnNYIdO4d/Zi2/kGQSVA5qUWYlgQqcsi6Gqg3bpQSxDo9Q9n/vENJzSbOes11dRbB4yAp8VHUJE7WAbDWW+eushTO3KMYwADVGWpdWXQe6zEtzelFlphtwzMRPKzr6R4bmdAwCAX6zZIfxdpx3p+4uc9VMRtk/jZwP5FXAZGFOP0gzksIXtZ1barqxMmjQJc+bMaXc1lGjUlngsQJUjhYes/XiFRFS+V0Y4ZkW6y1QwCEH9LzvFV4T1ewbxdz9/Drf0nS78PZWymFVTlknVQZBy0njocmPUtEkGXF0Wp1G2B/B2oTqCXfdZUWT7fGnvEN7ynccxoyePP7lkofv9/iEvYZ0OA0ShmxRO9G6pCJkDvTrIr3Xmsqp9S5Uq9gyMY8G0Lve7siSfio6/D20Skd9cJsL24c1ypmq4LBpIBFpXVR+Ymt6aibb7rHzxi1/E9OnTcd555+H2229HsSg+mr2daFRgHwvwWJHGo4FECHvmjc8hUnKbj1khVQli1kwWqff/aDWe3nYE7/zuk+J68GagQJ8V9YITtRnIOBrIgBHTNQlEoZDlDHysVM+miIIyf+KVg7DtmnJCx9NwgToCm9VZN7eQCGwekehhMq91mKt/+u16XP2lB7D8xb3ud9QhmbadTtSWKC29V1e+fRpkMTWj4WRwz/jRUlb87IkDUaRQHKKB2sqsfPSjH8UFF1yAqVOn4qmnnsItt9yCzZs347vf/a70nkKhgELB22UMDg4CAEqlEkql4ARJJnDKs6t8kp3onzXRUT9lXItKL1fKTPs5n9OQ32zBBiUdbLuq1Qe8OK6Wy+L7bO6k0krFvc7i6lWtsmW4JrCifFwUy1XkMilsPTjq/i2C6enNFsA8s1Jm7fC0nfj/taBoF63bK9zCatvS+/m+KpfLKMHfTj4/HkWZMjh6sQ4TyD5bMn4ApOp1LdXf2aRO9zy3B5M7s7CI6efQsOezMkr8VIJ2zhw5B1vSZ9UK57MhmFN0wbRDtHMQfOfWKJ7hyOFytcrIe3r99x7ZDAD42n0b3O+GmFBvM0WPzp8UJwfsapVTlBtrnyq3zpjONcuu3a+jgDPy0/a/lyv7qs6Yrv/fpDVWB5ErK7feeituu+025TUrV67ERRddhI9//OPud+eccw6mTp2Kt7zlLS7bIsIdd9whLH/ZsmXo6uoS3NE4XnzxBdAz31c8sALTO5ryqAmLgcMp6BJ1D60Qt9+ObVulZRzYt6++c6lJh507dqC/f1vgs3btYOv1+9//Hj1Z/3Uv77BA+3jVqlUY2VSbxNu2smU8+cQTOPCid+/YSBqAhUcffxIH1/mVjY0DFr69LoXXL6wibaVQseVbpprXvf6Wamx0BP39/d7fZYBO640bN6J//CXmnuXLl2uXv24P2y4rV67E0EZ9haq2rnr12bF9O/r7twqv3bOHbed7f/c7ZATDoSZbvTJ37dyJ/v7t/gsVGB6s9dnw6DhM2nvFAw9gal782yuDtXoNDI0A0G/ng+PAZ9dkYMHGH51QhdPe61/ZDqc9Dg+NaNczDRtVcq2sz/aN1errYMuWLejvf4W5plxMu88N0846SFlpVOtz4vChg8x4phgs1upbqti4555+V1H41W+X46n9Fi6bZcN5n72HBt16jxaK7ufBkTGY9Pezz6xFducaAH4ZsXbtGhTGUm55e/fsRn//Tu2yeTx3iC1/9dOrUdisP9e2DgNO+wRh/boX0X/kBQDAi/vY5760YT36h2vO/84YGS/U2CkT2aGD0dFR7WsjV1ZuuukmvP3tb1des2jRIuH3l112GQBg06ZNUmXllltuwc033+z+PTg4iAULFmDp0qXo7e0NV2kJSqUSli9fjrPPOgvYtM79/tWvvg7zp3RG+qyJjp/uX42Ngwe1ruXbz2nnUxefhGU7NwvvmTNnDl4aOoBKfVd5/MIF6Os7M/BZT/3fOjy2zxOwS5a8BlO7cr7rtj+0Gfds3+j+fcklF+Pqk2cAANb+dgMe2uMtsFdecQUuWDjF/ft7257AztFBnH/hRbju1Jm+sj/w32tQsffjV1vT6O3IMGndediGVHJPTw/6+q50/x4ulPGplfe7f59yyinou+4kAF47L1myBNmsQGMTYGDldvxkszf2L730Elx5knhuilCuVPHXT97n/n388QvR13eG8NoHfvocVh/Y7f7dd+MNPj8BBx9/cpm7ITxuwXHo6ztLu04A8KNdT2Hr8BFUrDQgYG9kuP76V2NOr3in8uyOAXz9hSeRzXcAGAls52rVhmUBa7cPAGuegg0L0447Cdi8BQDQOXk6cOhw7dpUFkBw9AoA5HIZlIjZ6LJLL8EVgj7bfngUt699xP37pBNPQN8NpzLXfOGFBzFYqjHZYdpZB59ceZ/LFs2cMQN9fRcJrzsyWsI/rH4AAPDaG26AXa1g+fLleGh0Hn67ZR86Zx0HoOZM293VjQPjtYXQJn1chll/X3D++eg7u+ZTycuICy+4AA8d2oT94zXldN68eejrO0e7bB4dG/bjuxvWuH9ffJFYnsjw4u5BfPW5J7SuPevMM9F3Wc0nqrh2F/7n5efd384443T0XbkIgDdGam1YMZIdOnAsIzqIXFmZMWMGZsyYEereNWtqHTV37lzpNfl8Hvm8f2uTzWYjbUSm7AzbTM181kRF3uAEv5yk/fJZ+XDMpFPIpCw4BsB0Oq3VB1ku+2w+mxPel+Pqn8t4dcxxZWSzGaYM5/cqUu7346UK/t/9G3HlSTNwgNjMZYtvWKRTFlOXPMfaZAXtZDJ+c9zYz2UyRmM/k2F3eRlFv2W4ds7lctIkbGnLQrmuraRTKeP56PSZ6fEQ+Zy87TrzNSXYcYVQtXO1auOP/u1RDI6VGGfrgTHim1Km+UH0zRe5dAoj8K7nx6uDjhyrtIv6hvq1hGlnHTAJytLyZ3R1EP+QdAb7hgqo2sBvX6hlp73rKS/qh446anI17e8cabuOHLcOZDKMU2yj7cPPtazhXHPGnw6yGa+v8zlOPpDnOmU6PitRr31GsiSypxri8ccfxxNPPIHrrrsOkydPxsqVK/Hxj38cb3zjG7Fw4cLgAloI3ucrca/1Q+Ucy0PmQ8fnM6FIpaxQkQm+vtNMNEbL94c1s3+L8j/8+Klt+OYDL+P7j27BGXN7pfc2ikAH20ajgUI6Nsuu14n20Lm29p524HXSZ4VUGqOKBjo8WsSzOwYAAGu2HXG/Z1LpF4IPVhQhKC+QA51zpJqdZwVQZwWmoIrBL9bsxC0/fw5L5ov70dT3S4agqBmaG6XRaCCfrDIsz0wGEyVLMUfdaKCqrZXTp5lom7KSz+dx991347bbbkOhUMDxxx+P9773vfjkJz/ZripJEfUCcDRCJfzTKYsRHvJoIHnD+hMw6XWCbnSMKiqBn8z8317+hyp+smo75k/pxK6BmnPkaLHCCJGowz+DQ5ejjVAIUxx1+FTVx0QxSqUAhzwIE4XBJ6vThV40kFxZ+fK96/H4ywfx6dd5prAtB0bcz0PERGjqDOrAf+SCGDrRV2yelVDVCURGc17TfCDfXvEyAGD5TrHcCTpTSxdBpxMzm5oGG6jRuat7tAj/LF8uJZoQk/zY7oCgtikrF1xwAZ54Qs++1m7wY6AZZ2RMdKgUjQynrOiGpLK/gTs0TK9eun2nyjUQdKCbs0g9t2MQ//lozefmw68+2f2dpYqbzaywvzfOrKifp4N0ykK17vSnut1kYWx0ETXZhVIoz67JyENrbduGZVn45gO1RfYnqzw/qkMjnplwyPCQQhF8Z9jITGlaGWzNNwim0GUnUinLVXx3D4wpy9QJ39VBSiFzUimuTRpsnqjOBtIBLVvFftKx1O5UK23PszIRwHdmoqr4kVNMFN2EbqqFPGWxZiDdXYduAjGfoKB29IAyHEVt0/5h9zvqkU/DY6POVxCkTDSa+yEKVtGy9BY8E+YszFig8Cfg0oMyD4gkadnX7nsJ5962DGu2HXa/23bIi4Kgpp9omBW9Rc+/SPkvbAWzQsVDUF/qZouOTFkhdRPJAWbRb3Cu+d0NzMpTbRh5MMyKgtFJlJUJBt8QSLQVH1Ravf80XTGClJUwglP3mHuV3TYo5bzz7geHvfw/A2MkjwxJVR2VEHXrEqBMNLrARJG9maXK9Z4V9JhUg4uo7i7UhKlyyqzaQLECPLn5EKpVG1+7byMGx8v452VeCDllX6iCQiPFTJ1B+Xp4dRZX2v9u/uvY8dUkZsWAMdXtN52EbzpgmBWB75plUHeTZ4Upz8QPi9mMKXzyqOmt3cpK29PtTwQkGWyDodqp6p7/wSsM7D3hskXqLjZ+qlwtpCgcATpMHCIPjXiKC2VWgg4m1EEmZbkMjY/1syxYlpfnqVEBqtp1hSkjKmal0QPkdO372XSKURpU9aJz4L6dKdz71Cq856oT3O+eeMUL7T9CzvqhzIrOyc9B0EmjL/pedBVj5WiS2LMYxVP9EF1GLKyixyOlGLs+ZiViZcV0mVGx2/5nkcdY8t+o6a3dykrCrGggaj+AoxFqM5Cm8AxiVkIsULqKppJZCdjxOO83QnJbsHS+97kUwYFgVGCL2oFhoBqmpvVYMRV0D3tjFtmAB6UafMesIvKMuY5nKTSvvbfu+PndR7y8QdQEOEzGBx0rpuf+iKB9HpaGUqPy2YgK7NEW6mt1jgiIEmpH1MbHIQVfvvE5XGHNQAoTeK3cWsUSZWUCwOJNCW2qR5xhZAaSHaymaNhUittNa0pO3dBZleAOOr/EeXe6K6YsCz3XRefwtCCw0UXqBSZ6M5B5gfQWdTiy3nWm14qgGw3kc1bViAbSAR0fFFG4NOn2mWpH7X7HhC43R/KZKNe5kL5GYRF0RliUc80kzF8Ek2ggdk4GMMf1ctsdDZQoKxrQse0e61D5m/BHkMuuDHSw1d94e2VqOtiqTD2Bk7m+SI2WxMzKcCHa8zSCQqGjHJ6+3V6IsnUjSkx2qYxJMJSDbUhmRfGodMrSXmBGQjrP6oB/N6npU8N5mvZDs8Qe6xeivjbqpIpBUMsBMIIoajNQmJxGuk62ge9FkDArEwh89zeLDp3IUCkaurvToIUsTJigrglPdKKq+1vAycGOgKCpHaiyEgWbQpEJWKhVgsgUOhEjQdB1oDRxVmx0R6tLmfPmzaBn6bIrUSUtE8FvBtKbb+KxRH5vvGpCsH4x6qeEjeIKiyBzCftVY3Xzp1kwL0PXTKZ8L99mrPZ3RD7LoZEoKxpIHGyDoVJW0roOtkpmJZx9WDfRmIo90WVWKGi+jKgRxKywrENjz4oiKZzFrkbS61jTjvpBjZondJ0R+Z1qsJmi/SJVJ9kbIFoc/ReaOL+GhYly3er2TTNmIPY3XiZFHQ3UTCVc9V78cx0FKGFWJgB8kzTRVXxQTSyfwJcJT8Vsd6Jc3Gs1+0D3Hv+uSfUb+7eImo4qGkEEmk5dvMCQzw0+y7fwhShR17/EhDkLkyCQQncH6s9aqr5edWREq6Cb14ifU6LLoox2kYHdhKjRamaFiQpsss9KFNmndZU5hsUMYFacNk+UlQmAJBooGKqwY5WJhS1DUX7K4nZ5evXSj0Rh/6aLclA0UKud/rJpuQDlv9N1RJbBxyqFkBi6IclmzEpji4Tuoqdzfg5F2My4UcL8jCX5dcyca9IuzeTMr1ZHAzGHLArzrHh/N5yA0SeDzKE7rlVJ4fj3zCY+KxMHCbESDKWDreZOTx26zNvPNelOzR24yslMN89Kq0AFduBuuMFn+RT1UMyKXh+YKKON+uXoOiL6x676+jgwK77ouwYUxNYwK+o6UJhkaY0C9GkiGRE3ZkXfZ0X+XJ+DrRsN1N6Vr/0zawIgikF0tMMkpDNcUjhLe9Gj0HXeUx5kGBAR0+oIhSBmJR3hChNFBlvdPjBRQJixEqJOugqmycIPxENZ0fUR438TvVuUGVrD1oGi2RsDlR+PaNPSzI1BmPbWHX+qCCy+D5JooAmEhFkJhtrBVm/BUzrY8p73mouwrj1ceZBhgINtq81AQcnxIk0BrmnCUyGMGSjoMY0esKcduhzAYvGIg4NtWDOQ6DJ2yjVnnJvo1s3eGKjCvkXO5iaKVhCiCOTQzbXCvJdmNFA5UVbijyi8tI92qEw4fgdbCbMSYAayNBUP/j7vs94Ok/87aDK3mlnJMNFAAdR95AcZmpeny4iZCP5Gd7RhksLp3KGbGbeZMEnkF+T8bOL8GhYmyrVuv4UFX77KQZ/3WWkU0UQDicefkjHSNAMlocsTAPyYaTR3xdEItYOt3u40yAzEmhM066XpvKfMYBswmVvvs6Je1KO1o8vL1oVuv6kWBh6NhmfrKpgm5xUBQD4GzErY03dFGw7GRNAksWfSxs2ea/7oL3n71GRSYwyf7FlAWBZT/D3/Xqo2l/nkJRlsJwAS5SQYKhmSCfCxcH8LCF0O41SpmydCFfEVlKullU5/lsVHKPivaWruhxBl6B5kaKJkNbpImBxkqFsnIC4+K9zio5xX5LPg9ygTDMpgZgZqMrOiSLMgdrAVXxsG/P2hEjBKHGxVjFFQXp4kGmgCweezkuguPug62CrZDZUDbEhnNt0FULWrCfIBaKWfQlpDaYvyPJcoBKjuPUahyyHGAoXK5EgRxGLxaHW0igh8RIiqRibHFjTrzUwSzzWdWVE4J/sd7bk8Kw0+WzeZnwoyJdzni8Pkj1HXI8mzMoGQZLANhjLdPhWIirZTRd35fFY0uyAKnxV+ZyrLQ9AK8BEIQXlWGh2qUVDTrBlIj1kLekyjjo2hmBWN6+PArOim2+d/CxpLzdqkBfnNUJgc1hcGqqM1Wh66HGLyyjZ8vBJtYgbyQpeNqxMp2j+zJgASZiUY6rOBIvBZ4aKBdBco3eRhZj4rnLLSwgUqlQoWkFFS99HY0eW7OLZsfQWkUfpdl1kx9VnJZdLmlYkYugcZ1n4LGkv0c3MEn8l4bfZc82881Iu6riKugyhCl2XjWnUgZxCj4/zeZv/aRFnRQRR2+6MdajOQnjAKsq2HOQFWVxD6zR3e52CbbutGRMqyAsN2IyRWInGw1aXKTRSQhn1WdDPYps3GXDzMQPryKg7RQCbPaHY0kMrkK9rQRNk+vLITygwkGX9mjBHPrCQOthMGfmal/QIpblCbgRpnVtKWFcoXQ9e3QRWiG5xnpZ1mIP81tB0bd/prXIAy9VWGp+srII36rOgqODTPilY0UAzMQKoEh6prxUnhZH9Eh1RAHShanWdFNSYti2+fxp5t0m8yyMZo1mdjJ+/F/cSX4dQr8VmZAEiYlWBEwayo86yEOzRM17dBnRROXibQap+V1voZRMKsaPqimDArQSG3QdA/yNCsLeOYFE5V78CkcC1hVsT1EaHZc00ZDcQv6qlwEYoy+CISQ5Qhd7BVMEYCXxxRmQmzMgGgCmtNUINqvdAV+Kr1o7aLoYJBr16MsFEKbf5v74ugDLytPAk2lbICd6KWgfAPfF4Eijrr8CsvwcS00+h7hYoG0rg+Fg62msdbAMFjpfU+K+prm21mUzknixb1KE2ufhbTvETZuFZFOalYZcDbDCTKygQAb3JIzEB+qNPt61Hpqt1uymJ7QfsgQ00HW5UjaVCelfaGLvuviXJRCRJkemWIP6ueFeyzIr5PF/o+K2Tsaig4cTx1Wc1mUYbK/3sYPzFTGOVZafKpyyozk28RD8n2yhCFg62uz4pKvvlClxNlZeJAc2N4TEOZbl9bYZD/nfZFA2nWS3O3ruuzInrNVi5QlmWByp3APCsNDlj+9jAClDU1qPqAPNekzBB1CjrawYFpuv12MStUQTHJ1xEU7cT6iTUHJoxaq5PCpQLalR2zUbOYYTYG4nssn6+b/L1keVcSn5UJgFZ4xE90KNPtB5xl45bBa/RcMrlwkSj0s/6zZTZdURktDV3m2kG00UwHKFdGz4vY6U+XWTFxsA21A1Up12TcmTrYtk1ZIYus7llctd/U5YbJbWQK1iFc/ZBms5h+c4n3WZTCIEpmpZlJ4dKWnGUO8kvzmJX2rn6JsqKBKHeqRyv4iUaFSiZlvljxZcAKdw6Hbn/5GQSxQiBikFoZrppOWdwCIni2JpOhgyioaXb+yK8zYTB12RoZVMwKHXemZxC1y8GWKlgmeVbMnLWbM86Z+RXwiJan21eYwdKcTGq0Znz54RhD2UGGfF3l/e57Tyd02bw6kSJRVjTADNg21iPOkIW7AbyDrQmzQqhKK5wZKC1ROoKeLaNJRcK01aHL6QDhHqadVM+jaJSaVt1voow2uuNXKSuUKctqjl0H7WJWshIFCwgyf6qvo980a59m0pdND11WMSuCdmUV7EY3Bvr9JoOseVIpSyoLg0+Vd5gV4+pEikRZ0UDisxIM9nA9i1VWtENXefqRNQMx/aBZL3bXphLa8t1F0O6z+eeVsELGZDfcqBmIv90K8aq6VLlJXVMNLhIqM1CGUbQN0+23iVnJSOYboD/nRM0YpU+GTh2CFuhcs6OBFCY0n5km1eSNQaTMitw/KUhJcjPYJspK/NEo5XwsgMpongXRjQbi5TyfnyVMbg1dmlZpBmqzspLlfH6CMtiyTdPYePWFU4YoQ1exMPNZaYztlAl1gDOpBLQ1j4nHrKgV2yh9MuR18D4HJoVrcjSQym9EJCOiXBt8KTJClCf1WUlZ0s1ekKk3iQaaQIhSez5awft4yMxAKh2Dd2Dj87OEWaB0F0D+2fTPIL+FZvus+JU27zexy0p0C0yQ851eGXr9z5gkAiSTiZ+DCCpmhSocpj4r7QhdTllse/hOXVa1eYA/XpjcRqYwcQhvhs8Kr5DKWFVRnpUolTl/aLR5GXS88nJDlq3YFykkCWVOooEmAFrhET/RwZiBuImha/fnJwnPKDC3anaErqKpokID7fpNHhTMyb9WsALG7poa3e3p79Jl0J0/MgdA4bXQG1MyKH1WyHjVjWRz0CpmJcezbRats357BG0A2N14c8a5Sb83w8zGyxkKI5+VCOrCPKJhZUU+RlSbEL4NpnfncML0LvRkzesTJRJlRQOtmLATHfxgZx1U9c4G4ne7TNgof9qwZr10wyJ5RUmmoDRrd6mCidBxrnHQaHWjsaOT+5V5VvTbmd39mtdJ5eNBmQkVAyNCy5SVDJ0brPOkKgsrjyCn5lawyiZh6M1o3yzH/MpMO6JzsqI2k5mYQkWQjWs/C8SNEUUQwZ9dvgjLPnYV+ha0Nx6oqTPr9ttvxxVXXIGuri5MmTJFeM22bdvwhje8Ad3d3ZgxYwY+8pGPoFgsNrNaxgixoT/mwDhvKRxsgwQn/TnD0ZgyelYFXRrbZy9mlK3GBEijyGbkQic4KVxjz+YdasOUF8rB1sBnJUylZDtQgI0GYsd1cLl059+VSxvXSxemyctkYBIMCt6vFePdxBctKjNbRtL/6RSXKTsgaqZRR28ejTI1tI68OVOlFAblkooDmqqsFItFvPWtb8Vf/dVfCX+vVCp43eteh5GRETzyyCP48Y9/jJ/97Gf467/+62ZWyxhJUrhg8NFADC0dEPrLlMPQ2ZSRCXuQIf0svynoEEVaj2YhK0nsxTMrbPoZ0W44ut1e5KHLKnbLgFkx2Y2LoDoJnF3IxLtsGegC0ZPPBF5jghwTUu19tm2baQN+Qdd1sG32OVPSOhg0R1TMiqwt+Q0TfWOR6aSZDsjhQpfFcsPiTPMqc1dMdRWIZ1NEuO222wAAd955p/D3ZcuW4cUXX8T27dsxb948AMA///M/493vfjduv/129Pb2NrN62mA3cTHtyTaD3+3LHWzV7Ud/znH0bJhdh27UkFKgR8BUWBZgBzio5TNplCplADVBU6pUap9TcqUt2FzS2HgNihTQgW6/mfRvo1EYtE/5fmFNKmz4fBAos9JNmJVcJoViuep+73w2QZ6UwS/ass0BYBC6LPi9Ff56JqYPVnH3IlRy6RSKFa9tRO2bz6RQIO03WqzPL465rI0nO7BuKQtMo0XhIkCfHc7kKpO7QTIu/sxKU5WVIDz++OM466yzXEUFAF772teiUChg9erVuO6663z3FAoFFAoF9+/BwUEAQKlUQqlUirR+Tnnlcln4fQIP1YrXRmmLE+xVKjhsX/s5f/PfU4q6Wqkwq0q1WtXqB7u+4AM1uSK7p8IJN3pdlZSRUpShQmc27QpHikzKQrkucXMZC6gP7Vw6hVHUrmd9PmzYtldX2/a3gwXSTpWKr31N6l8pV7i/y7CrhsKM9JtdrUifX63q9RUA2NArU3p/hb4Xq61Ylve3ZcvHhQj0emoG6smncag+xjqyaQB69aULL1WE6Hlbts3ON7vK9lm5XFIorXROCdqRvI/unDMGHR+2ui/TJI9qZzaNkfqc6sylUByr1r8XKys5qqzQ8HRGYbOZsVUpl1FK1f6uVtgyy+UyE88rbD9D0GeXy2WUSmZzzSJtmeEUUVYulJm6UgWd/w0IJzt0YFJeW5WVPXv2YPbs2cx3U6dORS6Xw549e4T33HHHHS5jQ7Fs2TJ0dXU1pZ4PPfggnKYql0vo7+9vynMmMg6MA04bFQrjQBlwth2rV60EUBPcIyMj0vZbvnw57Grave/woYNwLJVr16zBzsOW+/dzzz2L7r3PBNZry5BXr6GhQemza2F53nSg142UvN/Gx8clZainUqpahvNeactGxXY+V1Guf18tFd1rqmXv88jQoPt5aHAQm18ZgNMOr2x6Gf3FjcyzDuxPub+vXLkSwxvZxXj58uXKulLUZLv3br/97W+Nd3y7d3v1WbNmDextYoppwxELzjg5cviwcp7t2uGV+dxzz6Fn37NGdaLvVa5UQLfI7Lh72q3TqGLsOtg75pVbGPH6ySL9WS6MIZg7qiFte3WrlAru5/GxEfdztVrF0KA3Rp544nHwfSbD4UNeO656aiWGXmL7ZvtW7/cXX3gB/Yee16q3CbZt856xYf169A+uk167axRw3i1te3MKlZL3uex9zqZslKr+a8rFcffz+KjXltu2bgWqHmVy7733wtE5qwIZ8Qpf9yF53XVA5d99y5ej03CF3rTTm0P0vfbu2Y3xMe+9HnjgAUzNe/eVSt5zH7j/fvTmxOWbyA4djI6Oal9rrKzceuutQmWBYuXKlbjooou0yhNp/LZtS3cCt9xyC26++Wb378HBQSxYsABLly6N3GxUKpWwfPlyXHfttcCqRwAAmUwWfX2vjfQ5RwN2HB7D59Y8DADo6epEZy6NvWMjAIArLr8U33xxFQCgd1IP+vquZO512nnJkiVIrXzQWUkwd/YsbBg4AAC46MILMfTSfjy5fycA4NxzzkHfBfMD6/XsjgH8y/NPAgCmTJ6Mvr7LhNdVqzZufsKbiH19fe7nwbES/m7VAwCAfEcH+vpe5bv/o48v831HaeopPZ0YPjIOAOjKZzE0XmOiejryKIzUHMon93TjyKHa5O3t7sRg/fqZ06di6/ARAMDUKZOx+OQZWL7zFQDAKaecjL5Xn8w895eHnsaLR2rtdukll+Cqk6cDYNs5m9WLQyxVqvjrJ+9z/37d6/oUV4ux4mfPYfWB3QCACy+4AK89c7bwuqmvHMS31q0GAEybPg19fRdLy3zkly94Y+FcvbFAUa3a+Osna/2dSqUZ9m/WzJl4aeAgAODSSy7CdzesAQD09PjHLo/th0fxhbU1WbFw7ixsGqz1w6ypvTi4ZwgAMHlSD/aPj2jVsyOfw9hobfdJx8f0KZOxe7TGKlupFKZOnYTtI7W/r7ziCnzt+afcMuhY5nH3vlXYOHio9q6XXoIrTprO/L7qN+vw8N7tAICzzzoTfZcu1Kq3CVbfsx4P79kGADjj9NPRd+Ui6bVbDo7gi888CgCYOqkLg4fG6p+7MXCw1jaTJ3VhoP59Vz6LgbHaXJvU1YmhgdqcmtzTjUOF2vXTpvZi91itb044YRGeOrgDpVJtPNx44w3I101utm3j45yM2HDfJncunn766ei7Sl53HfzNyvtc+bd06VJM6jBbonc9sgX/t+0lAMDUKd57zZ83D4d3DeJA/Z2vv/7VmNPb4d73uedWYGS4JoeWvOZ6TO/JM+WGkR06cCwjOjBWVm666Sa8/e1vV16zaNEirbLmzJmDJ598kvnu8OHDKJVKPsbFQT6fRz6f932fzWYjbUSKXM4r16o/KwGLfI6YgdIppIgbfQdpv3QqJW0//vtcxqPRM5k043CbyWS0+iGXpc+2tPuOXpcnZg9bUE9pGWmPdu4izpad2bSrrNRMAvXnZL33y2Wpv4P3OZVKIUvbJe1vBxoqnhW0k8lcSaXZnXaYsZ9O036U91s2o99XzFhIpyOdk7RsduwGj5/uDk82Te32tqeTOr37aH8GgfalLFmdbduMb00+5+9vnfKzWcFYIn2X1pxzpshojg8A6Mx7bdpN5lRXTvy5I5t2lRV2rnmfs2nxZ6DWlrIIpGw2iwwzFxsfh3SLns9lkc2aLdE5cj0jP9MpZszkORlA/VRyuZxSRkc5BkzKMlZWZsyYgRkzZpjeJsTll1+O22+/Hbt378bcuXMB1Mw5+XweF154YSTPiALxdDeKF/ikcJQYU6U250Hb2p8UTt+x1C3Pkv2hD2rPDXKSpcgRZaWTCNDOnERBIYsR45/AORUGOdg2M4Nto2Xohi4HJoVrYqgl7e9GMthOIotpbwdVVsROoiJQZ1lGQSHX2NxvJu1hcs5Us+Rg0MGcFLTtqE8QO6e8zx2M0k8UOslhlamUZXRwbTOjaMKUR8cLkziQi9BUvVg7cknpoKk+K9u2bcOhQ4ewbds2VCoVrF27FgBw8skno6enB0uXLsUZZ5yBP/uzP8OXv/xlHDp0CJ/4xCfw3ve+NzaRQEB8Q7niBFWuBJPzVaR5VlLhBEMUCd3C9n82k3IdZjuJUtJBdjz0c575LFNW1Kmxa9d4nxvOsxLB4NeN9mAiEoLS7Uf4jryuQOtBGQsdRZVdTD3x2pMXL5pWQJiYjhJSc7ANp6Ayypjg99YkhdOXD3QBpvOlM0s/i5US+lkWumyazynqtAaNhoozY1d1tpqi7LhGvDZVWfnMZz6DH/zgB+7f559/PoCac8+1116LdDqNe+65Bx/84Adx5ZVXorOzE+94xzvwla98pZnVMgbtvDYfjxBb8EKPthmvdOgiw4XssjsevQkVRUI3NgeL/giQKRwdObrzE7MpVBDnaGhlij3IUPRKUR6uFgV0D5M0YVaamd8iLRm7Oj1P+5AumnTnb5IyXjZ3fOHWoZkV8lmg+LYiz4oJE0iVDNo2tH07JcwKO6doOSzTZULGWpLPYdHofJUmuwtQwtjfGqpC09BUZeXOO++U5lhxsHDhQvzmN79pZjUaRkz7LlbwHQRIPpueXOuWydDDwQf4icAugOEQ1gxEhYVsEWPYFIlJSG0GCqDuYzB42QVRfp3JotVoWnIGioWfjl1bo/OpSeGSE6a5n/OM/4DJHLDIZ8LycJVmj7cwUVbUzGMrzEAmWWCzkvBtmYLSIZtfzNxkxxJ/yJ+y7oZmQhM0mmeFkRvcvFMVbTJ+WommZrA9WpCyzATWsQjfZCDjnWFITMrkBKmJEBFdF3ZR000sxyMv2QUywlRCWasy2AZmb23BbtgELOsmr4+JAhLla/kWfpkZSKMsy7Lw0Ceuwd+eU8bcyV60BeNTkdGfD/R3JpcKVxnV2S4qsO0sYlaar/iamGqZs2+YDYCYWZEqKLLNQMqM29B0AwlVXqNnA/GnLqtkIX3rOMgMEdqaZ2WiIKZ9FyuoziORHU0uAjNpOEYmzC4vapu7bMGa3p3DwRH2TKu0RLB25WQOgGKa2p9uf6IxK3oS3aSvImVWOLALonnZcyd3YF43MKc3j9ecPgu9HVlOQdEvU1cpTzNtZ8CsBDi3sl3XnMFkkj2VvhttU1MHWz5Sxns+jLSOZh7FEaY01anLjFqq2FzGQWaIkDArGohp38UKKk2dT/usgsx2almNO9hGMQmrEmbtb284DQDw5becQ55HBIfES5/uAtmdH/2eVwSDlBVyrbC2rYXubtFEAWmm46fUpGJIqlqWhe++62J89W3n4ez5k93vSxV/dlVpGeQzHXrR+awYjKWmMSvkGQb3UaW/S+IH1iVhtNhoO46BMKhD1O3DMmnmBcqUlXRKfuYRj7gyK4myooG4ekfHCbrMigl4QRqGIo16By6zAv7xxQvw3K1L8daLFrjfTev2wlWp4GDo65xk5ycJXbZhsyflCl6pVQcv6kKXETOh1KPsV//C733OGpqBZLj+9Nn4ylvPxf/ddJV7vEIjZfoimAxMKfL7gli6JjErhn05f0onAOCMuV7EaC/JY9MhMQmxzIp488Cbm4PQVGYlRHHSQzi5svybS/lvcUGirGggpn0XKzBOqGAHf1iBzwuxMGagRm3AJphUz6Vx6xvOwOTOrMu2APUw5jqo0GSjFSQ2dfLZtjnaXBTBQT/HYOymNPvASPA3kT1inFppNFCD/mpvufA4nH3cZLzriuMBAOceNxkVVZIVDkxuFa4uYZmVoDwyupFcjcA0l81//PlF+Prbz0PfWV7i0C7TaCBZHiOOgQhC1O0Txi+PgknuRpMIGmz2Yupfm/is6CDFLcQJ/KCLpm3bjNQxcVCVafh+B1u98kwFYRB0Fqx3X3kC3nXFIqa+NLW1zAwkywnBMCt2sEBrxQJjAl1TnInJLsodrYql4JXwKHDdqbPw4/ddhnOPm4LTP/M75bX01VRjT5XnSLd8obIiuTZKsHUIfsgZ83pxxrxeFAqej9isSV7m4MmEZZE5NncwGWy5RV2/6pG3T6NFZGSO+XyyO8WD4sDGipAwKxqIZ9fFFzyzoopi4EEnCnPasMWHLpubgaKYhLoLlvOsD157EhZM68RbLzrO/Y1StTJhyjArTOZSm1lAxWYgfz3aiTB5VoLW20gT33F/MyyFIrdJ6OdZFi47cTo6c2l8YukpAIA/OG+e+FpN6RNFNJDoWc10ZBY/w+C+lIX3nVbBHX94Jk6d45mE6Hk6MjOQbK6ZmqxNcgO1AszxCYpkd3xXxkFOBCFhVjTA7m7aV48JA5ZYichnJVyYYLudTT95w2n4JDEHAUCPRJjmNUxCtWylXllBfgZxoHR5pVMGK2DhpGjmIiormw9xjgLvu+YknDGvF1eePAO/XLvL97tM9vj8bDQpfh6yowW8ssR1iRLpBvryzKk2+i6Yj30j3tlkPeSYA9k8Yv3D2A2NkYNy1HlWGiyDTbfPyU9yXVz9UlRImBUNTAStM06o2rZ0Yhj5rKhClzX7JMx5Qko0sF7N6e1ALpPCNafMdL+TZTaVmoEQvIumbEAcdnv6ZiDyOUAyRWnq8u8yvc9hEwLqIpdJ4dWnzUY+k8YNZ84BAFxKkslRUGVJlRvGbLH1PotuC5tjyARBpigdzJvcgY9cvxh/e8NpzDEHWWZOBWezTVtmdYizyZVufnwBEC2rUXRImJUEkaPq86sgPwZIfHppmisjjGCI2iTSyHr1249ejeFCmUlUJdv5UWGa5Zw8g5W2iHd7DUI3MZ+JMmqi2AShptDZ3N/+OjUbH33NYkzvyeFD152MK/7pft/vKmYlmmgg9bXN2rSZ5GGSwbIs3LykZlK7f/1e93tZVmjZ92nDRCu6zuO6aLQE6rNCNz+WxWphqnT7cUWirCRoCqKgHPkIhzALVJyyD0/tzmFqd47Js5GTJraiAtTUDOR9joMQ0q2PSbRXM88/Ynb6TfBZkeH0ub24/Q/P5uqiySCSz2HzrIie1QqTYtTPWDxrEgDg1NmTmBOtZQ7sdGNgWWbRQLoJD1sFKjN90UDkOhWbGFckZqAEkcOGLaXSg+8l93H24DALVNQ0dhQKTzadwruvWITXnD4b5x43xf2+Oye2tVOfDxu8Eucvv5kLeRjoKiFsNlV9ZiXqV4yDbf+PLqg5ZL/+nLnud8w5RYp7w4YuBycYbE5bRM1OLJjWhQf/5lr893svRYVsDOi7Ss1ADTnYNo5G2Ssqa3OcDDGNuoobEmbFEM1wsjsaIQuTM2k9XpAy00tzrjWQgFSIqHr/1jeeCQDYMzDuftedF9vU0xyNZJTBNgYySdcUZxK6HMWZT/KyaZ28z61k5v6u7zT0nT0Hrz5tFr587wYAbDJBZRizwRZU9q7ed803KYaNZFLh+OndAOTjTZbNNs0xuEFg5VwEZqAGi2CYlQbOPIojEmUlQeSwudhlOolN5L0vKRxzIJ55GVGsNbJ0+2FBbcxdOsyKbft8eXg0cyEPA92ICbN0++ZjQRey9mvlNmV6Tx7Xnz6b+S6tyayEPXVZtJy1wsoRdJhiI7hq8QwANZaBTl2Zz4plmTFIMbMCMfKEMSUHzKeJoMokykqCpiCKoZ9mzAL8LlDTDBSDxVqFqV05nLtgCirVKnNKLxU0/IIZRJtHEV0RJXSVEBNKPVLTQX1sOYuZzLbf7rQFZ87rxVObDwFgTUJAuLkBGGawbdJgMsmvY4qTZvbg1zddidm9Hfj9un3u99m0ysFWH1EzT40WkZEwK7WzgWIgDBpAoqwYot0CayKAS2AbGtT8wec/0C0/6vkZdf+nUxZ+9aErYds29g8V3O9ZMxDLDgWbgZrHOoSBrhJisjA2Y5Gw6R+C57QL//v+y/GLNTvw8SWn4PuPbgGgH1UVBEbJaVOelWYnnjun7hdWror9V3hlxcjBNiD0u9Wg7UeP6Qg6oDEOdQ9CoqwkaApkUyPI54fa4vkD+8I4+0VN4zdLV7UsixGgHQpmJdjBli233dBVLEyORoiSPcqkLFSqHrUiC11ul7/aJSdMwyVc7hUVA2DCDgRnQ26+4sseFdCkhwDIpMRmkTwX4mvynlErWo3OV/qO+QYYozgiiQZK0FKYMBN+B1u1YBVhIs1RKmh68lnxRbYdqIyEOUOpmdDPs+J9DhonUUY8XXfqLEZJljvYNvSYSKFafMLnWQkyKTbJDNSiJIZ/cP48nDG3F+++YhHDIvG+HSbvGYfNAAU9eDPPMCvxkAWNIFFWEkQO27YjmRh8Vs4wfniR7yiauGD1dmaw9IzZuHrxDMyf2il9fFD0RNyc/nS7wETwR+Hn8J0/vQAnzuzG+191IpOPg/VZiZaZiwqnk7NweIRtx2Bnbe1ijdCqXCVduQz6P3q1G4nnIJemJlezMqNmMRstgQldJu9Vi3mIgzQIj8QMlKApiMRnhWMIwuym2UikxpebZpoCLMvCv//5RQCA8VJFeE2Vy2AbfDZQ+wVUUC4P7zfvc1A7sxFG4d7xhrPm4oaz5vq+lxUXB2blx++7DHev3I6/vfE03L1qe8PlsRF27fdZMcnJ1AhoX7LRQGY+K0zochQVaxAyXxwA8ahgA0iUFUPEQF7FHiotvhrWDJTiT10OWbkG0aoFi/Hf4J4flMk3Du1EoWuWYhQZg9O5o97xx3kHetmJ03HZidN934etc1D22FYkGGyHck2zSNP8RmlDZSXqudZwYBu5v4tkxAYmvK6SmIESNAfRRAOxgjTsYW0TEXSHySYD4xknNbMSh4VXV6CbmOxYU415nZRlS8s7+rYq9FWDEgw2ayjxKQpagUnk5HNfNJBRnpWo51pjZVDZQE+fjipCs51ImBVTHH3yKnL46EeCoPkiS7fvP3U5ZOUaRKu6PyWhc20EO6w2cyEPA92ds9mOtnEzkCniYAZqJsRjqfkbBGY8t0hbOXv+ZNy85BTMn9LJmp4s03FIbo3BXJvancNfLzkFmXQKvZ0SJ/0JioRZSRAZzjluMgDgTy89XnpNkLyn9CwfNhmH/CGtTLn+rsuPx1Unz8ClJGw1ZQWHLsctGkg3z4rZAXx6ZeriG+84H5mUhX9527nSLMVx1VUm5cPvOZl1WrAatML3tR1mIMuy8JHrF+OPLjzOx+iZ1CDqQxijeP0PX78Yf3XtSb6jIuLAsjaCRFlJEBl++BeX4Dt/eiHedcWi0GnpT66fmAr4j45PMwmY2jPxWrlg3fams/Bf77kUHVnP9uw7fTrIDBQDbSWMz0pQO0e9wL3+nHl44bOvxR+ef5zUr6rdp3bz+Nc/OR+TOjL4xjsv8P0WpkmCx5J5mTpohxmIfT7rK2UUTcWsoO2faxT8e6heK141FyNRVhJEhildOdxw1hzfORwm+PY7L8B1p87ETz5wOTOBsmkrFoxBu9erWr4EdTs0M315GAT52DgwOTSQzf8RumoMnKzBskfHS1UB3njuPDz7j0vxqlNmhi6D9bnwoxU5UFqR0l+FdAM0XdQyqZlvr6pf3Ma2CImykqApkFLpAYvQohnd+P7/dwkuXjTN57+SDhCsxwL4TLeBibxi0FLsgieHWX6Q5jkRy8ZouxVVEWRtFoZtCvZZMS7S+LntZlayqVR436koKxUxMulULGRBI0iUFUO0K+X2REMUgp2WkUmluHM4zCdeHBcbU9TyzXh/i5WV9jNQFM3wSWjmmSyyYRI3MxAF3wZhmkTUjsx3zTIDtTkvEM0cnbLMXpNpnjhMNgmC2jW+NfeQKCsJmoIo5DplZzJpq+07MKD9iz8fFRWYGyMGUqgZylMznTKrJsmAYoKw880KUHxbk2dFXYdmI52ycPKsHgDAybN7jLajcWdWzphby3R8znGTYyELGkESupygKYiagUrzocttEg1xyO8S5EAb5sDHZiJMfYJGDxvuGqJSCkgdbKN9TKQoc5UO52Ar+q75im8z+1IXP/3A5RgvVTFrUodRRwclaGw3vvfui3BwuIiz5k9ud1UaRgybN96IMRMcK/R2NB7jT5s6lbKMTuVtFtrF6LztogUAgI9ev5gRioFnA7VfV2nKgtfM3fh1p9UcVqd0cWM4xnO/Uq0GXxQA8aGY5HPDTxBD9ziGZmJKVw5zJncY3xd9UrhoMXdyp6uoTPS1K2FWEjQFn3nDGdg/XMD7rjkxdBm8j0AcEjC1yy79hTefjY8tWYy5kzuxce+Q+70o62srEnmZIIyyYnLqctQK5FUnz8BPP3A5TpzZw9Yp2sdEitPn9uKXa3e5f9fGQHCNgxxoWebg6DQDNYJWZPiNChPd37KpzMrtt9+OK664Al1dXZgyZYrwmtrBUey/73znO82sVkOY2N3dOhw/vRu/vukqvP6ceaHL4COKGjUDRTFZ28WspFMW5k6uncQclMGWIg7ysxmLUdSn3VJYloWLFk3DtO4c+32kT4kWf375Irzz0oX4/rsvrn2hWVkroB2DQpujQCtOdjaBkc+K5AyvOEK1AZgI61pTmZVisYi3vvWtuPzyy/G9731Pet33v/993HDDDe7fkydPfPtagsZx1ck1Ov60ObVEcXFwHI0D1UsFupBZiQEDRdGMfmvFIjqR0JlL4/Y/PNv4vqC2a01SOLUPVqthEvUVtdLczNdXvVa5En91panKym233QYAuPPOO5XXTZkyBXPmzGlmVSJD+6fSsYOZk/JY8w9L0Fk/PbSZ4aq6yKbbPwKocA86/C8Owj9MYrFWZ7DVQvubUhtRVdVS/BUV4pbEUDX2bv/Ds/DpXzyPv15ySv2biaM0q5hlesxJXBELB9ubbroJM2bMwMUXX4zvfOc7qEbgLNYsxF//PLowtTvnpptvdIFqxMHsy285B70dGXzPodnbCJN2iIGu0hSavx1+DjFoSm3oNknQdUHO3FGgLYpnSLz94oV44BPX4qZXnwwgHn50ulDJv3fWz3O7/rRZLaqNOdruYPu5z30O119/PTo7O/H73/8ef/3Xf40DBw7g7//+74XXFwoFFAoF9+/BwUEAQKlUQqlUirRuTnl8uVE/51iCbdvS9gxq12q14n4ul8vG/SB6tgz8dX9w7hy86ZzZsCyr7f1frZTdz3bV3w5U2S+XyijVjxbSbWcVwtxrV8z7rVqtKq+jY6FSMR8LYaHznCjauVHQdVNVjwrZUYuuq1ZoO1ea8k70GVXBeJahWe1M8+yIyj5ucg7lcm0OMnWPuH0ify9b/l7vu2ohzp7Xg/MWTBE+t1ltbVKesbJy6623uuYdGVauXImLLrpIqzyqlJx33nkAgM9+9rNSZeWOO+4QPn/ZsmXo6urSeqYpli9fDqepqtUq+vv7m/Kcoxu19hscHJK2X62d5dgwYAGorbwPP/QQNmp3d+3ZBw4cCOg7bzrEuY+PFACnrg89+CBe5CIu1+322um+5cuQT7O/B7WzH421y/ojXn3uv//3mKSMaq89a9euXejv3yG96sXDXpkrVjyAaXnjahmgVqdyqWT0/ubtHB3KlTQclUVV5/W7vHYUXbeO9N1jjz2KnT2+SxrGrhHAaeMHV6ww7suo23l0VK/tAGD7MODU/amnnsKRDY1x7+Pj+s82xaGDwWU/vFFdRvRtPap9rbGyctNNN+Htb3+78ppFixaZFuvisssuw+DgIPbu3YvZs2f7fr/llltw8803u38PDg5iwYIFWLp0KXp7e0M/V4RSqYTly5djyZIlwOMPAKhR2n19fZE+51jARx9fBgCYNGkS+vqu+P/bu/voqMo7D+DfmcxLJm9jwhAmQwgkgEUMCiQqEVYIaIhEuq67blGMsFW7WALBnFqw9BS1RdgteLp1C76sB3uWtrQ9YFetp5tgKZYlEpqQmhABqZBQkohCSGIpyZD89g+b60wmLzPJvXfuJN/POZzD3Pvw3Gd+d2buj3ufF799vnG2Wvu/kiV9dAk76v4AAJg/fz4mj40N6dgulwtLlvSfRPeUA2Doc/xx21VsqnoXALBoYS7GX+fw33+4Hq+fPQkAWLw4DzG2z7/mwca5t+HGJeH0Rez8oBIAkHfXnUiMsfVbtudYKSkpWLLk5n7LxX/4KV46UQUAWLRwIVKGMEdGsHraZLVZsWTJ4kHLDzXOanry6H7gb3fYBjpnzf93Fv9Tf6rfcvGnP8WLH3we53lz52KGBpOLfXjhM/zb+4cBhHYutYrzv3/wLtBxFcDgn/fjjW3YVvMeAGDObbdhTkbSsI793PGDaO3sCOrYofrvxgqg/fKQ6tYq1j1PRoIRcrLicrngcrlC/WdBO3bsGKKjo/sd6my322G3B6beVqtVsx+G3vWG6wdoJDCZTP3Gb7BzaLNafMpaQj4PAx0bAB6Zl45XD51B7pfGGvoc223dPn8PjJkl6otbKTarDVar/62V4XxXhvLvonzaY7fZgqrDZDYPWM7q81noKwZaGOzz05uWv0mD8vkP/kBtMPl0SumrnM3yxTabRu/HZh3eMdSO8z9lTcB/vPMhsicmDlqvb9stltB/k3rz7YCudqynjkvAH+ovD6tutWMdSl2a9llpaGjApUuX0NDQgK6uLlRXVwMApkyZgri4OLz55ptobm5GTk4OHA4HDhw4gI0bN+JrX/tanwmJEbCD7fAMZ64T3zkNojTozVaUOwVTk+Pw9zPHq163mkLpXGqETn+9V89WQziGsRsglEEL9ns22CAQPUbnGG00UNHCKZiZdh2yJyYOWlbtEYpafpY33D0NZhNw32xj/771R9Nk5Tvf+Q5+/OMfK69nzZoFADhw4AAWLFgAq9WKHTt2oKSkBN3d3cjIyMCzzz6L1atXa9ksilC+Fyi1Lnq+EmNtWHZrmur1qi2UERNGSFZ8O/aplWT6TwNvgDdpMMGOfOs98WJveq/gbY0K/wBVa5QZuV8KblSMKYKGLjsd1iHNxWMUmiYrr7322oBzrOTn5/tNBkcj33AuLMOd+jvS18bo4XuB6esCYuQLuVpJ5mDTxGvBCHPWBCvYj/pgK0zr8VnyXYTRZgl/shIKPZYjoM9F1ieDIp7VMvQvdNQwHwNF+toYPew+fVD6WjDSNzKG+P30CXvQycogp8r39Os1N0fAwoYGNtgdkx6pSY4B9/vNgaLR1cK3qZGWrHAmZf2EfZ4VGl0sw/jFG+7idcM5tpHE2S147V9uQZTZpEyY1x8j3A3wTRKDz1VCmfJc2/e4c/lsbC87hf98cJamx1FTsHcRl8xIQVX9Zdxx/dg+95t1uLMyJTkOt6YnISHaYojHQKFQe1K48H9bjYvJSohGyqMEvU1zx+NEczv+MSt1yHWYhnnLVYt+LuGyIOhn6uHn+50JNnkK5cJo0vj6dveMFNw9I0Xbg4SJ3RKF796b2e9+PfqsRJlN+MW/5mhTucb8E2UjfNtGLiYrpItfrMpB7flWzEkfo0p9Q3kMZBlBycpA9O4UOZihJPiWENZgMvoU7ZHMv88K9aZ1p3/6QmTdc6OIlRBtxe2TXap1Qgulnp7J45be7FHl2JHEGI+BQhfKDz+vEYHGxqsz9YP/EHEGujf/vlPha8dowDsrFDFkKB01Aex7fC4+aG7DrZOGN7tkpDDaNaX3DLvBiLEN3BfHl9FGPBnBS4VZ2LD3fWwsmD6seiJpob5wULujNxPC/jFZoYgUymMgZ4wVczLUefxEoZvuScDz/3wz0pIGX8xpff407H6vHqvmTw66fv6+B5qdlojSJ+YPux4zR7sMKJJWjI50TFYoIvF3IbLcNzu4jtWPL5iMxxcMnqj4D8/mh0EP/F9/IPZZ0Q/7rFBE4g9D/0ZDZHz7wfCjoJ3hThcw0qm9VEDXIJP0jWZMVihi+E4YNVpG9lDfvD6L2lgibG6OSOK39s2oSIND43u3SY3BA9e6B1msaRTjYyCKGFOT47D8tjR4rnPwlvQARsP/zbyDrcBHqgjHgpGRJJRFRYPh7RoN396hYbJCEcNkMkX0Qlx6GWy9l5Fg7hQXpibHYcZ4Z7ibMqIxPxmY2h2QH52Xju1lp3B3pluF2kYWJitEI8woyFVgt0Sh9Ik7eIdNY0abYNBo/CbNUyE+q3On4O+uH4sbUuKHX9kIw4e9RCOM2rlKyV3XAwCKF01VuebhYaKiPd/HHOzUHsh/IcPhx8dsNmHmhOtgtwQ/z9BowTsrRCOM2o+B1iycgn+YNR6piaFP7kaRzW9oLpPDAJw0Tz9MVohGmFDW1QmGyWTChCAmdKORjXdWAvHunn74GIhohMm70Y0oswnTUxLC3RSKcL736JisBLL7TKeg1npM1DfeWSEaYcZf50D5hoWIj7aGuykU4bp9FuRSaxHSkcQaZUb5UwthggnRVvYz0RKTFaIRKDkhOtxNoBHAd/FQTsTYtxQn+3LpgY+BiIioT2pPekY0VLyzQkREfUpLisH14+LgirP79c8g0huTFSIi6pMlyoz/XcfJ9yj8mCoTEVG/mKiQETBZISIiIkNjskJERESGxmSFiIiIDI3JSoj4+JaIiEhfTFaIiIjI0JishIg3VoiIiPTFZIWIiIgMjckKERERGRqTlRBxgiQiIiJ9MVkhIiIiQ9MsWTl79iweeeQRpKenw+FwYPLkydi0aRM6Ozv9yjU0NGDp0qWIjY2Fy+XC2rVrA8oYCe+rEBER6UuzhQxPnDiB7u5uvPTSS5gyZQpqa2vx2GOP4S9/+Qu2bdsGAOjq6kJBQQHGjh2LQ4cO4eLFi1ixYgVEBC+88IJWTSMiIqIIolmykp+fj/z8fOV1RkYGTp48iZ07dyrJSmlpKerq6nDu3Dl4PB4AwPbt27Fy5Ups3rwZCQkJWjUvZDekJOCDpjYsmZES7qYQERGNKpolK31pbW1FUlKS8rq8vByZmZlKogIAixcvRkdHByorK5GbmxtQR0dHBzo6OpTXbW1tAACv1wuv16tqe3vq83q9+K/CWSit+xj3zvSofpzRzjfOpB3GWR+Msz4YZ/1oFetQ6tMtWfnTn/6EF154Adu3b1e2NTc3Y9y4cX7lEhMTYbPZ0Nzc3Gc9W7ZswTPPPBOwvbS0FDExMeo2+m/KysoAAEkA3n2nVpNj0BdxJm0xzvpgnPXBOOtH7VhfuXIl6LIhJytPP/10n8mCr6NHjyI7O1t53djYiPz8fNx///149NFH/cr2NRRYRPodIvzUU0+hpKREed3W1oYJEyYgLy9P9cdGXq8XZWVluOuuu2C1WlWtm77AOOuDcdYH46wPxlk/WsW658lIMEJOVoqKirBs2bIBy0yaNEn5e2NjI3Jzc5GTk4OXX37Zr5zb7caRI0f8trW0tMDr9Qbccelht9tht9sDtlutVs0+sFrWTV9gnPXBOOuDcdYH46wftWMdSl0hJysulwsulyuosufPn0dubi6ysrKwa9cumM3+I6VzcnKwefNmNDU1ISXl846rpaWlsNvtyMrKCrVpRERENAJp1melsbERCxYsQFpaGrZt24ZPPvlE2ed2uwEAeXl5mD59OgoLC/H9738fly5dwje+8Q089thjhhoJREREROGjWbJSWlqK06dP4/Tp00hNTfXbJyIAgKioKPz617/G17/+dcydOxcOhwMPPvigMrSZiIiISLNkZeXKlVi5cuWg5dLS0vDWW29p1QwiIiKKcFwbiIiIiAyNyQoREREZGpMVIiIiMjQmK0RERGRoTFaIiIjI0JisEBERkaExWSEiIiJD023VZa30TDAXyoJIwfJ6vbhy5Qra2tq49oSGGGd9MM76YJz1wTjrR6tY91y3e67jA4n4ZKW9vR0AMGHChDC3hIiIiELV3t4Op9M5YBmTBJPSGFh3dzcaGxsRHx8Pk8mkat1tbW2YMGECzp07x7WKNMQ464Nx1gfjrA/GWT9axVpE0N7eDo/HE7DQcW8Rf2fFbDYHrD2ktoSEBH4ZdMA464Nx1gfjrA/GWT9axHqwOyo92MGWiIiIDI3JChERERkak5UB2O12bNq0CXa7PdxNGdEYZ30wzvpgnPXBOOvHCLGO+A62RERENLLxzgoREREZGpMVIiIiMjQmK0RERGRoTFaIiIjI0Jis9GPHjh1IT09HdHQ0srKy8Pvf/z7cTTKsLVu24JZbbkF8fDySk5Nx77334uTJk35lRARPP/00PB4PHA4HFixYgOPHj/uV6ejowJo1a+ByuRAbG4svf/nL+POf/+xXpqWlBYWFhXA6nXA6nSgsLMTly5e1fouGtGXLFphMJqxbt07Zxjir4/z583jooYcwZswYxMTEYObMmaisrFT2M87quHbtGr797W8jPT0dDocDGRkZePbZZ9Hd3a2UYaxD9+6772Lp0qXweDwwmUz41a9+5bdfz5g2NDRg6dKliI2Nhcvlwtq1a9HZ2Rn6mxIKsGfPHrFarfLKK69IXV2dFBcXS2xsrNTX14e7aYa0ePFi2bVrl9TW1kp1dbUUFBRIWlqafPbZZ0qZrVu3Snx8vOzdu1dqamrkK1/5iqSkpEhbW5tSZtWqVTJ+/HgpKyuTqqoqyc3NlZtvvlmuXbumlMnPz5fMzEw5fPiwHD58WDIzM+Wee+7R9f0aQUVFhUyaNEluuukmKS4uVrYzzsN36dIlmThxoqxcuVKOHDkiZ86ckf3798vp06eVMoyzOr73ve/JmDFj5K233pIzZ87IL3/5S4mLi5Mf/OAHShnGOnRvv/22bNy4Ufbu3SsA5PXXX/fbr1dMr127JpmZmZKbmytVVVVSVlYmHo9HioqKQn5PTFb6cOutt8qqVav8tk2bNk02bNgQphZFlgsXLggAOXjwoIiIdHd3i9vtlq1btyplrl69Kk6nU1588UUREbl8+bJYrVbZs2ePUub8+fNiNpvlN7/5jYiI1NXVCQB57733lDLl5eUCQE6cOKHHWzOE9vZ2mTp1qpSVlcn8+fOVZIVxVsf69etl3rx5/e5nnNVTUFAgX/3qV/223XffffLQQw+JCGOtht7Jip4xffvtt8VsNsv58+eVMj/72c/EbrdLa2trSO+Dj4F66ezsRGVlJfLy8vy25+Xl4fDhw2FqVWRpbW0FACQlJQEAzpw5g+bmZr+Y2u12zJ8/X4lpZWUlvF6vXxmPx4PMzEylTHl5OZxOJ2677TalzJw5c+B0OkfVuVm9ejUKCgpw5513+m1nnNXxxhtvIDs7G/fffz+Sk5Mxa9YsvPLKK8p+xlk98+bNwzvvvINTp04BAP74xz/i0KFDWLJkCQDGWgt6xrS8vByZmZnweDxKmcWLF6Ojo8PvsWowIn4hQ7V9+umn6Orqwrhx4/y2jxs3Ds3NzWFqVeQQEZSUlGDevHnIzMwEACVufcW0vr5eKWOz2ZCYmBhQpuffNzc3Izk5OeCYycnJo+bc7NmzB1VVVTh69GjAPsZZHR999BF27tyJkpISfOtb30JFRQXWrl0Lu92Ohx9+mHFW0fr169Ha2opp06YhKioKXV1d2Lx5Mx544AEA/ExrQc+YNjc3BxwnMTERNpst5LgzWemHyWTyey0iAdsoUFFREd5//30cOnQoYN9QYtq7TF/lR8u5OXfuHIqLi1FaWoro6Oh+yzHOw9Pd3Y3s7Gw899xzAIBZs2bh+PHj2LlzJx5++GGlHOM8fD//+c+xe/du/PSnP8WNN96I6upqrFu3Dh6PBytWrFDKMdbq0yumasWdj4F6cblciIqKCsj6Lly4EJAhkr81a9bgjTfewIEDB5Camqpsd7vdADBgTN1uNzo7O9HS0jJgmY8//jjguJ988smoODeVlZW4cOECsrKyYLFYYLFYcPDgQfzwhz+ExWJRYsA4D09KSgqmT5/ut+2GG25AQ0MDAH6e1fTkk09iw4YNWLZsGWbMmIHCwkI88cQT2LJlCwDGWgt6xtTtdgccp6WlBV6vN+S4M1npxWazISsrC2VlZX7by8rKcPvtt4epVcYmIigqKsK+ffvw29/+Funp6X7709PT4Xa7/WLa2dmJgwcPKjHNysqC1Wr1K9PU1ITa2lqlTE5ODlpbW1FRUaGUOXLkCFpbW0fFuVm0aBFqampQXV2t/MnOzsby5ctRXV2NjIwMxlkFc+fODRh6f+rUKUycOBEAP89qunLlCsxm/8tQVFSUMnSZsVafnjHNyclBbW0tmpqalDKlpaWw2+3IysoKreEhdccdJXqGLr/66qtSV1cn69atk9jYWDl79my4m2ZIjz/+uDidTvnd734nTU1Nyp8rV64oZbZu3SpOp1P27dsnNTU18sADD/Q5VC41NVX2798vVVVVsnDhwj6Hyt10001SXl4u5eXlMmPGjBE7/DAYvqOBRBhnNVRUVIjFYpHNmzfLhx9+KD/5yU8kJiZGdu/erZRhnNWxYsUKGT9+vDJ0ed++feJyueSb3/ymUoaxDl17e7scO3ZMjh07JgDk+eefl2PHjinTb+gV056hy4sWLZKqqirZv3+/pKamcuiymn70ox/JxIkTxWazyezZs5VhuBQIQJ9/du3apZTp7u6WTZs2idvtFrvdLnfccYfU1NT41fPXv/5VioqKJCkpSRwOh9xzzz3S0NDgV+bixYuyfPlyiY+Pl/j4eFm+fLm0tLTo8C6NqXeywjir480335TMzEyx2+0ybdo0efnll/32M87qaGtrk+LiYklLS5Po6GjJyMiQjRs3SkdHh1KGsQ7dgQMH+vxNXrFihYjoG9P6+nopKCgQh8MhSUlJUlRUJFevXg35PZlEREK7F0NERESkH/ZZISIiIkNjskJERESGxmSFiIiIDI3JChERERkakxUiIiIyNCYrREREZGhMVoiIiMjQmKwQERGRoTFZISIiIkNjskJERESGxmSFiIiIDI3JChERERna/wMT+Y6qFrQ9yQAAAABJRU5ErkJggg==", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Random.seed!(12343)\n", "ℳ = Lorenz63Model(0.01)\n", "\n", "x = zeros(3,10000)\n", "x[:,1] = randn(3)\n", "\n", "for k = 1:size(x,2)-1\n", " x[:,k+1] = ℳ(k,x[:,k])\n", "end\n", "\n", "plot(x[1,:])\n", "grid(\"on\");" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "ℳ = Lorenz63Model(0.05)\n", "\n", "nmax = 20;\n", "no = 5:nmax;\n", "n = 3;\n", "sigma=10;\n", "beta = 8/3;\n", "rho = 28;\n", "dt = 0.02;\n", "\n", "xit = [5.; 0.; 0.];\n", "H = [1 0 0];\n", "𝓗 = ModelMatrix(H)\n", "m = size(H,1)\n", "Pi = Matrix(3*I,n,n)\n", "Q = zeros(n,n);" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "function LorenzTest(nmax,method)\n", " no = 5:nmax\n", " R = [ones(m,m) for n in no]\n", " xt,xfree,xa,yt,yo,diag_ = TwinExperiment(ℳ,xit,Pi,Q,R,𝓗,nmax,no,method)\n", "\n", " time = 1:nmax+1\n", " plot(time,xt[1,:],\"b\",label = \"true\")\n", " plot(time,xfree[1,:],\"r\",label = \"free\")\n", " plot(time[no],getindex.(yo,1),\".\",label = \"observation\")\n", " plot(time,xa[1,:],\"g\", label = \"assim\")\n", " legend()\n", " title(\"$method applied to the Lorenz-63 model\")\n", " grid(\"on\")\n", "end\n", "\n", "nmax = 50;\n", "method = \"KF\";\n", "LorenzTest(nmax,method);" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nmax = 50;\n", "method = \"4DVar\";\n", "LorenzTest(nmax,method);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note for longer time integration, the 4D-Var method can no longer track the observations.\n", "The minimization algorithm is trapped in a local minima." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nmax = 150;\n", "method = \"KF\";\n", "LorenzTest(nmax,method);" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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tq2Ctu/fee8tYNFTB4+XlRYsWLWyee9XCqdE4vnft2rUrGo2GI0eOVGnczhISEoLJZCI5ObmMYJFlmaSkJLp162ZdD+z/D5YmNDSUjh078sYbb9g8pqPyC4L6gRArAqeJiIio4N4AePPNN1m3bh1//vmn0xeq2bNn8+effzJ+/HhiYmLKvHfjjTcSEhLCN998Q2JiIi1btqR3797W9yVJQqfTlXEV5Ofn891331VxZiX7hZIfeBVHd5I//PADV155pfX1zz//jMlkom/fvmXWO3DgAHv37i1zcZk3bx5+fn506dLF6TH26tWLwMBADh486LComYeHB1dddRULFy7knXfesYq67OxslixZ4tSxDAaDTWvSddddx88//8zixYsZNWqUdfm3335rfb8q+3WWVq1a0aJFC/bu3cu0adOqvB9HVHeO3t7e9OvXj927d9OxY0er9aC6vPDCC8yePZu5c+cyYMCACu9HRUXZvfDedNNNTJ8+nU2bNtGzZ0/r8mXLluHr62u1Mthj3bp1WCwWmjdvXr1JVMJ1113H22+/zffff89jjz1mXf7rr7+Sm5tr/ezV/zF7/4OlGTFiBMuWLaNZs2Zl3HWChoMQKwKn8fT0rHARBiW9VqvV2nwvPz+/jBvlxIkTLF68mD/++IM+ffrw+eefV9jGYDBw22238fHHHyPLMm+++WaZ94cPH86MGTMYP3489957L6mpqbz77rsVRIartG7dmmbNmvHss88iyzLBwcEsWbKElStX2t1m4cKF6HQ6Bg4cyIEDB3jxxRfp1KlThfTQqKgorr/+el5++WUiIyP5/vvvWblyJW+99Rbe3t5Oj9HX15ePP/6YiRMnkpaWxs0330x4eDjJycns3buX5ORkZs6cCcBrr73GkCFDGDhwIE888QRms5m33noLHx8f0tLSKj1Whw4dWLhwITNnzuTKK69Eo9HQtWtX7rjjDj799FMmTpzIqVOn6NChAxs2bGDatGkMGzbM5kXUmf26whdffMHQoUMZPHgwkyZNonHjxqSlpXHo0CF27drFL7/8Uuk+jh8/brM+UNu2bas9R1BShXv37s0111zD/fffT1xcHNnZ2Rw7dowlS5ZYYzOc5ZdffuGNN97g5ptvpmXLlmViXgwGA507d3a4/ZNPPskPP/zAmDFjeO2112jSpAkLFizg999/591337XWhfnjjz+YNWsW119/PbGxsRiNRnbs2MEHH3xA8+bNufvuu10at6sMHDiQwYMH88wzz5CVlUWvXr34999/eemll+jcuTMTJkwAlFiX22+/nQ8++AC9Xs+AAQPYv38/7777Lv7+/mX2+eqrr7Jy5Up69uzJlClTaNWqFQUFBZw6dYply5bx+eef06RJkxqdl6Ca1F1sr+BSwVE2EKWyCXx8fOT4+Hj55ptvln/55ReHGRt79+6VAVmr1crnz5+v8P4333wjt2rVSjYYDHJ8fLw8ffp0+euvv66Q5hsbGysPHz7c6bkcPHhQHjhwoOzn5ycHBQXJY8aMkRMSEipkCKjZQDt37pRHjhwp+/r6yn5+fvK4cePkCxculNmnOoYFCxbI7dq1kz08POS4uDh5xowZZdZzNnVZlmV53bp18vDhw+Xg4GBZr9fLjRs3locPHy7/8ssvZdb7/fff5Y4dO8oeHh5yTEyM/Oabb1rHXhlpaWnyzTffLAcGBsqSJJXZJjU1VZ48ebIcGRkp63Q6OTY2Vp46dWqZtFJX96vOv3Q6t0r5z1+Wle/ILbfcIoeHh8t6vV6OiIiQ+/fvL3/++eeVjqH097L8n3ocZ+eIg8yikydPynfeeafcuHFjWa/Xy2FhYXLPnj3l119/3bqOmj1T/tyV/z6o583Wn63sKlskJCTIt956qxwUFCR7eHjIHTt2lL/55psy6xw6dEi++eab5djYWNnT01P29PSUW7duLT/11FNyampqpcewNx/1u7x9+/Yyy9V5JScnW5fl5+fLzzzzjBwbGyvr9Xo5MjJSvv/++ytkPRUWFspPPPGEHB4eLnt6espXX321vHnzZjk2NrZMNpAsy3JycrI8ZcoUuWnTprJer5eDg4PlK6+8Un7++eflnJwc63q2vmuCukeSZRspGQKBwCEvv/wyr7zyCsnJyZW6vuLi4mjfvj1//PFHLY1OIBAILi1ENpBAIBAIBIJ6jRArAoFAIBAI6jXCDSQQCAQCgaBeIywrAoFAIBAI6jVCrAgEAoFAIKjXCLEiEAgEAoGgXtPgi8JZLBbOnz+Pn59ftRvrCQQCgUAgqB1kWSY7O5uoqKhK2z00eLFy/vz5Mo28BAKBQCAQNBzOnDlTaQXhBi9W1E68Z86cqVBiuSoYjUZWrFjBoEGD0Ov11d5ffUfM99JGzPfSRsz30uZSn29WVhbR0dHW67gjGrxYUV0//v7+bhMr3t7e+Pv7X5JfjvKI+V7aiPle2oj5XtpcLvN1JoRDBNgKBAKBQCCo1wixIhAIBAKBoF4jxIpAIBAIBIJ6TYOPWREIBAJB/UOWZUwmE2az2W37NBqN6HQ6CgoK3Lrf+kpDn69Wq0Wn07mlrIgQKwKBQCBwK0VFRSQmJpKXl+fW/cqyTEREBGfOnLks6mpdCvP19vYmMjISDw+Pau1HiBWBQCAQuA2LxcLJkyfRarVERUXh4eHhtgutxWIhJycHX1/fSouIXQo05PnKskxRURHJycmcPHmSFi1aVGsOQqwIBAKBwG0UFRVhsViIjo7G29vbrfu2WCwUFRXh6enZ4C7eVaGhz9fLywu9Xs/p06et86gqDW/2AoFAIKj3NMSLq8D9uOt7IL5NAoFAIBAI6jVCrAgEAoFAIKjXCLEiEAgEAoGgXiPEikAgEAgEQN++fXn00UfrehgCGwixUhPk58M778ChQ3U9EoFAIBC4CbXQnaD2EWKlJvj9d3j6aeVPIBAILmNkGXJz6+ZPlp0f56RJk1i3bh0ffvghkiQhSRJz5sxBkiT++usvunbtisFg4J9//mHSpEnceOONZbZ/9NFH6du3b6l5y7z99tvEx8fj5eVFp06dWLBggXs+1MsQUWelJrhwQXk8dqxuxyEQCAR1TF4e+Pq6a28aINDptXNywMfHuXU//PBDjhw5Qvv27Xn11VcBOHDgAABPP/007777LvHx8QQGOnf8F154gYULFzJz5kxatGjB+vXruf322wkLC6NPnz5Oz0GgIMRKTZCVpTyeOaNI+wZaJlkgEAguFwICAvDw8MDb25uIiAgA/vvvPwBeffVVBg4c6PS+cnNzmTFjBmvWrKFHjx4AxMfHs2HDBr744gshVqqAECs1gDE1Ez0odsj0dAgOrushCQQCQZ3g7a1YONyBxWIhKysLf39/p4qNuauAbteuXV1a/+DBgxQUFFQQOEVFRXTu3Nk9g7rMEGKlBjj9bxbN1RcJCUKsCASCyxZJct4VUxkWC5jNyv5qs0CuT7kJaDQa5HIBMUaj0frcYrEAsHTpUho3blxmPYPBUEOjvLQRYqUGMKVlWZ8bT5/gL++zXN3kakK9Q+twVAKBQCBwhIeHB2azudL1wsLC2L9/f5lle/bsQa/XA9C2bVsMBgMJCQnC5eMmhFipAaQcRawcDIM79j3Kzj1nGN9hPD+M/qGORyYQCAQCe8TFxbF161ZOnTqFr6+v1UJSnv79+/POO+/w7bff0qNHD77//nv2799vdfH4+fnx5JNP8thjj2GxWOjduzdZWVls2rQJX19fJk6cWJvTuiQQqcs1gDY3g/evhi73wU7zGQCScpLqeFQCgUAgcMSTTz6JVqulbdu2hIWFkZCQYHO9wYMH8+KLL/L000/TrVs3srOzueOOO8qs89prr/F///d/TJ8+nTZt2jB48GCWLFlC06ZNa2MqlxzCslIDbA9J5PEhyvOYIm8SPPIoMhfV7aAEAoFA4JCWLVuyefPmMssmTZpkc91XXnmFV155xe6+JEliypQpTJkyxZ1DvGwRlpUa4LR/JgADj8OMPTEAGM1GR5sIBAKBQCCwgxArNUCBNg+AxllguJgCICwrAoFAIBBUESFW3I0sU6gvAMCvCLzSUgEhVgQCgUAgqCpCrLibvDxyi9PofQvBYFJy8YVYEQgEAoGgagix4mbkzCyyisWKuTAIj+KUfSFWBAKBQCCoGjUqVqZPn063bt3w8/MjPDycG2+8kcOHD5dZR5ZlXn75ZaKiovDy8qJv377W5lENkYILmWR7KM8Li0KFWBEIBAKBoJrUqFhZt24dDz74IFu2bGHlypWYTCYGDRpEbm6udZ23336bGTNm8Mknn7B9+3YiIiIYOHAg2dnZNTm0GiP7XBbZxZaVvMJwq1gxWkQ2kEAgEAgEVaFG66wsX768zOvZs2cTHh7Ozp07ufbaa5FlmQ8++IDnn3+e0aNHAzB37lwaNWrEvHnzuO+++2pyeDVCbmKJGyinMEpYVgQCgUAgqCa1WhQuM1OpPxJc3Njv5MmTJCUlMWjQIOs6BoOBPn36sGnTJptipbCwkMLCQuvrrCyltL3RaCzTSKqqqPuo6r5yzqdb3UCZRU3QlxIr7hifu6nufBsaYr6XNmK+dY/RaESWZSwWi91y9VVFbR6o7v9S51KYr8ViQZZljEYjWq22zHuufG9rTazIsszjjz9O7969ad++PQBJSUoJ+kaNGpVZt1GjRpw+fdrmfqZPn26zauCKFSvwdlc/cGDlypVV2s60fS/ZLZXnaYWxJZYVUxHLli1z0+jcT1Xn21AR8720EfOtO3Q6HREREeTk5FBUVDMW5ZoKE5Blmccee4zffvuNjIwM1q9fT4cOHWrkWK7QUMMiAIqKisjPz2f9+vWYTKYy7+Xl5Tm9n1oTKw899BD//vsvGzZsqPCeJEllXsuyXGGZytSpU3n88cetr7OysoiOjmbQoEH4+/tXe5xGo5GVK1cycOBAawdNV9j503GrGygpuAlpxiAgHQsWBg8ZjFajdbh9bVPd+TY0xHwvbcR8656CggLOnDmDr68vnp6ebt23LMtkZ2fj5+dn9xpRHf7880/mzZvHmjVriI+PJzQ0FJ2u7rrS1PR8a4OCggK8vLy49tprK3wfVM+IM9TKWXj44Yf5/fffWb9+PU2aNLEuj4iIABQLS2RkpHX5xYsXK1hbVAwGAwaDocJyvV7v1n/Wqu7PkpljFSvG4bkMt8wEbgVA1sj15gelPO7+/Oo7Yr6XNmK+dYfZbEaSJDQaDRqNe3M4VFeIun93c/LkSSIjI+ndu7fN94uKivDw8HD7ce1R0/OtDTQaDZIk2fyOuvKdrdHZy7LMQw89xMKFC1mzZk2FbpNNmzYlIiKijAmzqKiIdevW0bNnz5ocWo1xviAHuVgAa/BG1pQIK5ERJBAILjtkGXJz6+avOObDGSZNmsTDDz9MQkICkiQRFxdH3759eeihh3j88ccJDQ1l4MCBABw8eJBhw4bh6+tLo0aNmDBhAikpKaWmLPP2228THx+Pl5cXnTp1YsGCBW7/aC8natSy8uCDDzJv3jx+++03/Pz8rDEqAQEBeHl5IUkSjz76KNOmTaNFixa0aNGCadOm4e3tzfjx42tyaDXGKa1Sah9ZQsITKPlnERlBAoHgsiMvD3x93bIrDRDoygY5OeDj49SqH374Ic2aNePLL79k+/btaLVaxowZw9y5c7n//vvZuHEjsiyTmJhInz59uOeee5gxYwb5+fk888wz3HLLLaxZswaAF154gYULFzJz5kxatGjB+vXruf322wkLC6NPnz6uTltADYuVmTNnAtC3b98yy2fPnm1tu/3000+Tn5/PAw88QHp6Ot27d2fFihX4+fnV5NBqDP+McwBIeCIhARLIGpAsQqwIBAJBPSUgIAA/Pz+0Wq01RAGgefPmvP3229bX//d//0eXLl2YNm2addk333xDdHQ0R44coXHjxsyYMYM1a9bQo0cPAOLj49mwYQNffPGFECtVpEbFiuyECU6SJF5++WVefvnlmhxKreGdq1iPNLKSmSRZLHiYoUgnLCsCgeAyxNtbsXC4AYvFQlZWFv7+/s7FcLghQ7Rr165lXu/cuZO///4bXxvWouPHj5OZmUlBQYHVZaRSVFRE586dqz2ey5W6C3O+RClEqSUTiSdxJ66mw/I5fPegRYgVgUBweSJJTrtiKsViAbNZ2V8tBZz6lBu7xWJh5MiRvPXWWxXWjYyMZP/+/QAsXbqUxo0bl3nfVnKIwDmEWHEzRo2SDx+g8yXWK4TM7DBRxVYgEAguEbp06cKvv/5KXFyczbTmtm3bYjAYSEhIEC4fN9Iwc6HqMUad0vfI3+BPaCgUYijpD2QW2UACgUDQkHnwwQdJS0tj3LhxbNu2jRMnTrBixQruvPNOzGYzfn5+PPnkkzz22GPMnTuX48ePs3v3bj799FPmzp1b18NvsAjLipsx6pWKfP5eAYSFwQk8hGVFIBAILhGioqLYuHEjzzzzDIMHD6awsJDY2FiGDBlijaN57bXXCA8PZ/r06Zw4cYLAwEC6dOnCc889V8ejb7gIseJGCgtkjB5K6nKgXyChXlAkxIpAIBA0CB599FEeffRR6+u1a9faXK9FixYsXLjQ7n4kSWLKlClMmTLFzSO8fBFixY1knMsl16BkQIUEhRAqgxF9mWaGAoFAIBAIXEOIFTeSdTbLWmrf3yeQMGFZEQgEAoGg2ogAWzeScy6T7OK2EX7FAbZG9EKsCAQCgUBQDYRYcSN5SaUsK8VipbRlRfQGEggEAoHAdYRYcSP5F7LILhYrfh5+BAWBSRJuIIFAIBAIqoMQK26kKCXL6gbyN/ij0YBPoHADCQQCgUBQHYRYcSOm1EyrG8jPoDRi9A32QG9RlgmxIhAIBAKB6wix4kbM6WXdQAB+wcKyIhAIBAJBdRBixY3IWWXdQAD+oSJmRSAQCASC6iDEihuRsiu6gQLC9Jg0ysLUnNy6GppAIBAIqsHatWuRJImMjIy6HorbmDRpEjfeeGNdD8MphFhxI3JBGiat8lx1A10MT2NZq34AfLbuMPO3J9TV8AQCgUBwGXLq1CkkSWLPnj1lln/44YfMmTOnTsbkKkKsuJEic5r1ua+HL4mZ+WzUHgVJD4CMiecW7icxM7+uhigQCAQNhsTMfDYdT7lsfzOLimo2dCAgIIDAwMAaPYa7EGLFjZjkDAC8ZQNajZaTKbnIALJibpExYZZlTqXk1dkYBQKBoCEwf3sCvd5cw/hZW+n15ppasUoXFhYyZcoUwsPD8fT0pHfv3mzfvr3MOhs3bqRTp054enrSvXt39u3bZ33v9OnTjBw5kqCgIHx8fGjXrh3Lli2zvn/w4EGGDRuGr68vjRo1YsKECaSkpFjf79u3Lw899BCPP/44oaGhDB48mLvuuotx48aVGYPRaCQ0NJTZs2cDsHz5cnr37k1gYCAhISGMGDGC48ePW9dv2rQpAJ07d0aSJPr27QtUdANVNn/VFbZ69Wq6du2Kt7c3PXv25PDhw1X8xJ1HiBU3YtZkAuCr9QKgaagPEiAVt2CSJRNaSSIu1LuuhigQCAT1nsTMfKYu3IdF6QuLRaZWrNJPP/00v/76K3PnzmXXrl00b96cwYMHk5ZWYjV/6qmnePfdd9m+fTvh4eFcf/31GI1KdfIHH3yQwsJC1q9fz759+3jrrbfw9fVV5pSYSJ8+fbjiiivYsWMHy5cv58KFC9xyyy1lxjB37lx0Oh0bN25k5syZjBkzhiVLlpCTk2Nd56+//iI3N5ebbroJgNzcXB5//HG2b9/O6tWr0Wg0jBo1CotFqZuxbds2AFatWkViYqLdjtHOzB/g+eef57333mPHjh3odDruvPPO6nzsTiEaGboJoxHQK2LFX698OSMDvBgb34EvTiuWFQkT00a3JzLAq66GKRAIGgqrVsHKlXD//RAXV9ejqVVOpuRahYqKWZY5nZpH21C90/vJyLJwMdVMk0gt3p6O781zc3OZOXMmc+bMYejQoQDMmjWLlStX8vXXX9OtWzcAXnrpJQYOHAgowqJJkyYsWrSIW265hYSEBG666SY6dOgAQHx8vHX/M2fOpEuXLkybNs267JtvviE6OpojR47QsmVLAJo3b87bb78NgMViISwsDB8fHxYtWsSECRMAmDdvHiNHjsTfX8k6VUWLytdff014eDgHDx6kffv2hIWFARASEkJERESV5v/UU09Z133jjTfo06cPAM8++yzDhw+noKAAT09Ph59xdRCWFTeRng7pgcp/l1exWAG4tkkMk7b9BcCIZl6M7RZTJ+MTCAQNjCeegLffhpYtYcoUuHChrkdUazQN9UEjlV2mlSRiQ5y3SqflFpKQlUWBPpdjKVmk5RY6XP/48eMYjUZ69eplXabX67nqqqs4dOiQdVmPHj2sz4ODg2nVqpX1/SlTpvD666/Tq1cvXnrpJf7991/rujt37uTvv//G19fX+te6dWvrsVW6du1aZlx6vZ6bb76ZH374AVBExW+//cZtt91WZuzjx48nPj4ef39/q9snIcF515mz8wfo2LGj9XlkZCQAFy9edPpYVUGIFTfx49YEpg0bA8DRTL3Vv+rhAQF5yj+JXjLV2fgE9Z+CAjCb63oUgnrDmTPKo9EIH38MrVqBCxefhkxkgBfTR3dAKymKRStJLlmli0wWzqWXdRmdSy+gyGSxu40sKzebkiRVWF5+WXnU9++++25OnDjBhAkT2LdvH127duXjjz8GFCvJyJEj2bNnT5m/o0ePcu2111r35ePjU2H/48ePZ9WqVVy8eJHFixfj6elptX4AjBw5ktTUVGbNmsXWrVvZunWr8jm4EKDryvz1+hLrlvqe6nKqKYRYcQOJmfl8sHEfZk0BABLeVv+qwQBas+JtKzI5VvaCy5ecHGjXDrp1A1mufH3BJU5hoWKuBViwABo1gsxMKHWnfqkztlsMG57tx4/3XM2GZ/u5ZJUuMpkp/28kIzsUK82bN8fDw4MNGzZYlxmNRnbs2EGbNm2sy7Zs2WJ9np6ezpEjR6wWEoDo6GgmT57MwoULeeKJJ5g1axYAXbp04cCBA8TFxdG8efMyf7YESml69uxJdHQ08+fP54cffmDMmDF4eCgVSFNTUzl06BAvvPAC1113HW3atCFd/e4Uo65rdnA35Oz86woRs+IG1KwfWVKyfDSylzXrx8PDC8kixIrAMatWwYkTyvPsbCh2RQsuV1SXj4cHjB4Nn3+uLMvKqttx1TKRAV5VivHz0GkrLJOQ8NDZvz/38fHh/vvv56mnniI4OJiYmBjefvtt8vLyuOuuu9i7dy8Ar776KiEhITRq1Ijnn3+e0NBQa0bNo48+ytChQ2nZsiXp6emsWbPGeqF/8MEHmTVrFuPGjeOpp54iNDSUY8eO8dNPPzFr1iy02opjto5dkhg/fjyff/45R44c4e+//7a+FxQUREhICF9++SWRkZEkJCTw7LPPltk+PDwcLy8vli9fTpMmTfD09CQgIMCl+dc1wrLiBtSsHwuK2VHC25r14+EBGtWyIsrtC+zwxx8lz2vY9StoCCQmKo8RESBJJer1MhMrVcVDp8Fg8gJU94VE4yBPh2IF4M033+Smm25iwoQJdOnShWPHjvHXX38RFBRUZp1HHnmEK6+8ksTERH7//fcylosHH3yQNm3aMGTIEFq1asVnn30GQFRUFBs3bsRsNjN48GDat2/PI488QkBAABpN5Zfi2267jYMHD9K4ceMycSUajYaffvqJnTt30r59ex577DHeeeedMtvqdDo++ugjvvjiC6KiorjhhhuqPP+6QlhW3EBkgBejtKF8g2JZ0eJl9a+mG0ASbiCBA2QZSpViIDkZmjevu/EI6gFJScqjmrmhipXMzLoZTwOkMMtAkUmPpLOgkzQEN6lcEHh6evLRRx/x0UcfVXivb9++1riOESNG2NxejU+xR4sWLeymDYNSx8Qebdu2tR6/PAMGDODgwYNllpVf9+677+buu+8us6x89VpH84eyn4HKFVdcYXdc7kRYVtxEpzSZ4YeWA3DfNe2s/lXFsqIEIxVZjHU2PkH9ZffukhtpEJaVy4HSlVltVmlVvxDFmRbCsuIaRUXKHxYNcpEOU5FGxII1cIRlxU0YU7MwaxTLSeOAEOtyDw+QisWK0SzEiqAsiZn5zPotF62fD+ZsxTcvxMqlzfztCdaCZ6qTQgY0Ekwf3UG50bFnWRFixSnU+mleXpCfr1gvzWbQiSteg0VYVtyEOT2LbMVtaW1iCGAwAKplRcSsCEqhlhP/s3ArjSevIbirkpYqxMqlS/nKrHLxH5Sr0irESrVQxYqfH6hxqyZROaJBI8SKm5AzMskyKM/9DCVixcMDq1gpFG4gQTHlL1qSBvz670frly/EyiWMrcqspbH2DhNuoGqhihVf3xJrilH8/DZoalSsrF+/npEjRxIVFYUkSSxevLjM+5MmTUKSpDJ/V199dU0OqcaQsjLJLhYr/oaSvFPFsqKYXIqEG0hQjM2LliSjC8wjOblOhiSoBWxVZi2NtXeYsKxUGbMZ8op7xfr6glq/TIiVhk2NipXc3Fw6derEJ598YnedIUOGkJiYaP0r3aGyIaHLybDpBiodsyICbAUq9i5awd5JnE+v2WZtgrojMsCLl4Z1QLYUn3yLkpkM5aq0CrFSZXJzlUcPD+VPtawIN1DDpkbDjYYOHVqmJLAtDAaD3cZKDQl9nm03kFYLsll5o1AW/y0ChcgAL16/oQNTF+5H0shKoKVswePGU5ySTzF/ewfRR+oSpXNADOc+D0MXmIcpw5vFiyEkNo+4UG9FqMhyiVgRbiCXKe0CAmFZuVSo89jotWvXEh4eTmBgIH369OGNN94gPDzc7vqFhYUUFpbUK8kq/uc1Go3WNt3VQd2Hq/syFGRY3UBeGq8y22tlxeRitJjcMkZ3UtX5NlTq03w7B0Ry7vMwfOPSCB62G4tUbOiUYOrCffRoGkRkQPW6mNan+dYGDWG+hw9LmLO9rNlfv/1o5rPPlJ9io9EIaWnoi3u6GIODlauslxd6QM7KwlRqbvVxvkajEVmWsVgsbu8Xo9bzUPdvi7w8CZDw9paxWGR0OuW1yaS8bkg4M9/6jsViQZZljEZjhSq9rnxv61SsDB06lDFjxhAbG8vJkyd58cUX6d+/Pzt37sRgMNjcZvr06bzyyisVlq9YsQJvb+c7clbGypUrXVpfa0yjsPjT3LJuC/t1+0vetCjSvsBcVG/dXK7Ot6FTH+Z74EAw5uxr8NZasFDWJ2SR4edlf9MiwD0/rvVhvrVJfZ7v0qXNgXaEheWRnOzNvHkWBg5cjsGgXIz8zpyhP1Dk68ufq1cD4H3hAgMBc3q6zd+Q+jRfnU5HREQEOTk5LjXSc4Xs7Gy77xUU+AI6TKY8srKMmEwegDd5eUaysvJqZDw1jaP51neKiorIz89n/fr1mMr54vLynD8fdSpWxo4da33evn17unbtSmxsLEuXLmX06NE2t5k6dSqPP/649XVWVhbR0dEMGjQIfzc0VDEajaxcuZKBAweW6SzpiIICWOPxtvX16BGj0WlKPtpP+BYAs1Zm2LBh1R6jO6nKfBsy9Wm+OTmKQOnlmcpOiwVLqZLbGgluGdbPLZaV+jLf2qAhzHfpUuU833WXgZ9+kjl1Sk9h4VBGjSruertmDQD66OiS34vUVLjvPnSFhQwbNMgaiFEf51tQUMCZM2fw9fXF07N639/yyLJMdnY2fn5+djshW4rjgQICvPHxkbFYJJKTQZL0brlGVIX4+HgeeeQRHnnkEZe2c2a+9Z2CggK8vLy49tprK3wfslxwa9a5G6g0kZGRxMbGcvToUbvrGAwGm1YXvV7v1n9WV/aXmgo6g9Ll0ktjwMtQtvGWhHKCjJjrzQ9Kedz9+dV36sN81ayf2zLmc/NfO3lu8EOYNVoki8yU3h2JCfVzvAMXqA/zrU3q83xPnlQeW7fWMnEivPIKfPedjgkTildISQFAiowsmUNwsHV7fUEBlOvVUp/mazabkSQJjUbjVM8bV1BdIer+yyPLYLJYkDxMaLRaNBpNqZgVCY2jVKwaZPv27fj4+Lj8eVQ234aARqNBkiSb31FXvrP1SqykpqZy5swZItWgsgZCRgZIBqVnh5+uoitKkhRxVYQJWZYbrEIWuJfERJCw0Ofs9wTlnOVaSyqnMo2syBhB5+G2e48IGj7HjimPzZrBNdcoYmXVKjh7Fpo0oWImEChpLZ6eihk3K6uCWBEopOYUogtVsulOpEFj2QtvvfL7W5fZQGFhYXV38EuEGpVqOTk57Nmzhz179gBw8uRJ9uzZQ0JCAjk5OTz55JNs3ryZU6dOsXbtWkaOHEloaCijRo2qyWG5nYwMkDwUn6K/R8W7YW2xZUWWwCyba3NognpMYiL0ZS1BOWchMJDICWPpcWYfbbOPilorlyhFRZCgFCqmeXOIj4cOHRSLwL59xSuVLwin0kAzgmRZJrco131/RtvL0/OyOZaSQp4xlzyjst7ZtHyQFOuE2QyVxaguX76c3r17ExgYSEhICCNGjOD48eOAEnvx0EMPERkZiaenJ3FxcUyfPt267csvv0xMTAwGg4GoqCimTJlifS8uLo4PPvjA+lqSJL744gtGjBiBt7c3bdq0YfPmzRw7doy+ffvi4+NDjx49rMcW1LBlZceOHfTr18/6Wo01mThxIjNnzmTfvn18++23ZGRkEBkZSb9+/Zg/fz5+fu4zf9cGGekyFoOSL+dnqOgT1WhK/HRGs7FMPIvg8uX8ebijOJ6JW26BFi0AiOYMu0QV20uSU6eUC6aPDzRqpCxTkx/T04tXsmVZAUWsXLzY4MRKnjEP3+m+dXLszXecxST7IklKI0OjsbhQpx1yc3N5/PHH6dChA7m5ufzf//0fo0aNYs+ePXz00Uf8/vvv/Pzzz8TExHDmzBnOnDkDwIIFC3j//ff56aefaNeuHUlJSezdu9fh2F577TVmzJjBjBkzeOaZZxg/fjzx8fFMnTqVmJgY7rzzTh5++GF++uknd34kDZYavWraaiddmr/++qsmD19r5CTlYDEo8/TzCqzwvlYqEStF5iK89F4V1hFcfqSeK+AmflVeTJigmPmBGBJYLsRK9XnySTh4EBYtcnyFqkXUG+X4+JJicGo4Slpa8UqOxAo0OLFSl0hIeOiUuJWiIsUV5OircNNNN5V5/fXXXxMeHs7BgwdJSEigRYsW9O7dG0mSiI2Nta6XkJBAREQEAwYMQK/XExMTw1VXXeVwbP/73/+45ZZbAHjmmWfo0aMHL774IoMHDwbgkUce4X//+18VZ37pIW7x3UB+YgaFaql9G2JF0pQVKwIBgOf5E/iRg9nXH22vXtaI2wiSSE0sAjzqdoANmWPH4L33lOdbtkCfPnU7nmJUsdK8ecmyCmLFnhsoIEB5bGBixVvvTc7UHLfsy2KxkJWdhb+fv82A09NJhWSZCwAZCYnmYcF46DTodIpYqaysx/Hjx3nxxRfZsmULKSkp1gDXhIQEJk2axMCBA2nVqhVDhgxhxIgRDBo0CIAxY8bwwQcfEB8fz5AhQxg2bBgjR45E56DNc8eOHa3PGxWb2Tp06FBmWUFBAVlZWXWWxVSfEGLFDRRezCS9WI8EedkIfNMb0JnBpBViRaCQnw+BWacBkGPjlNvssDBMOgM6UyHmhHNA0zodY0NG8+23JS8OHKg3YqV0cK2Ky5aVzMwaG19NIEkSPh4+btmXxWLBrDfj42E7s8Zf40NeioXgMAtNIjV46JR1nC25P3LkSKKjo5k1axZRUVFYLBbat29PUVERXbp04eTJk/z555+sWrWKW265hQEDBrBgwQKio6M5fPgwK1euZNWqVTzwwAO88847rFu3zm7GS+nlatKFrWWOvBOXEw0zF6qeYUzJIEMVK562xIoej+K4WiFWBKBcj2JRxIq2aXFZfUkiPzRaWXb+TF0NreFjNqP5/vuS1wcO1N1YyqFaVuyKlcLCEtUi3EAuYzQCFg1eOp1VqIBzJfdTU1M5dOgQL7zwAtdddx1t2rQh3RpIpODv78/YsWOZNWsW8+fP59dffyWt+Hx5eXlx/fXX89FHH7F27Vo2b97MPmvUtKC6CMuKGzCnZpJeHIYS6BlY4X3ZwwMPM+QhxIpAITFRiU0BkEr5vk2R0ZB0DM9kIVaqSti//yKdPVuyoB6KFVtuoNRU4MIF5YVeX6a2CiDEihOoYqS8MUN97ciyEhQUREhICF9++SWRkZEkJCTw7LPPWt9///33iYyM5IorrkCj0fDLL78QERFBYGAgc+bMwWw20717d7y9vfnuu+/w8vIqE9ciqB7CsuIG5PSMStxAJZYVo+i8LEDJBFItK5T6QZNiFCuLf0ZCXQzrkiCmuEQ9PXoojwcP1t1gSmGxwIkTynO7lpXSLqDy9ZiEWKkUe2JFdQM5sqxoNBp++ukndu7cSfv27Xnsscd45513rO/7+vry1ltv0bVrV7p168apU6dYtmwZGo2GwMBAZs2aRa9evejYsSOrV69myZIlhISEuHmGly/CsuIGpKwSy4ptN5CHcAMJypCYCJ1tiBV9M8UN5KFL5p/DKTSP8FE68QqcIy2NyC1blOdvvw3XXqsELicnQx0X5jp3TvHy6HQQHV2y3K5YKY8QK5VSHcsKwIABAzhYTtyWjhm55557bG534403cuONN9rd76lTp+zuE5Q6LOWX9e3bF7PZ7FJJ+ksZYVlxA7ocx5YVySBiVgRlSUwsZVkptqYAeLWIZn7HgXw+uR8TZm+l15trmL9dWFmcRTN/PlqTCbljR+jVC+LilDfqgStIdQE1bVpypw/lxIq9TCAQYqUSLJYSMVIVy4qgfiPEihvQ5WY6DLCVPDzQF1dOFGKllrhwAfbsUdIvkpKUEqH1iAtnjURxXnlRyrJyISKaqYMfRi7OdLDI8NzC/SRm5tfFMBsc0nffAWCZOFFxo7Rrp7xRD8SKrUwgKCtWLInCslJVSltNymcMO2tZEdRfhFhxA4b8DIcBtngIN1CtkpSk3L527qxUhY2MhBtuqOtRlcF46hxaLJh1HiWlTIGTfmFlui8DmGWZUykNs7V9rWI0Iu3eDYBFPd/1SKzYCq6FkjY/FgsYE4otK0KsuExpF1D5cJ/SlpV6dt8icBIhVtyAodCxG0gj3EC1y4YNSiETvR58i8t8L1tWr2zA2rOKC6ggPAZKiZOmrWLRlGtgopUk4kIrNsgUlOP0aSSzGZOHR3FHQErESj0Isj14Mh9DTArhcWWtZF5eyh+A6WyxZUW4gVzGXrwKlLW0COtKw0SIlWpSUAB6XSomrfLaphvIs8SyYjTXnwvmJcuuXcrj//6n/LB7eytdzE6erNtxlcIrubggXHTZ1MbIJmG8vOortBblC6OVJKaNbi+CbJ3h6FEAciMjSwRg27bKYx1bVuZvT2Bv7Boixm3lm+SKcUiqK0i+hNxAtV3MzJFY0WicLwwncC/u+h4IsVJNMjNB8lSKAuklHd76infAGg9hWalVVLHSpYtiD1bt7sUXs7qmqAiCc5SLla5ZTIX3r0s4yYbP72RikoYNz/ZjbLeK6whsUBwUklvaKtGmjfIdSElRmgDWAYmZ+UxduA+KXRMyFeOQVLGiTW74YkWtwpqXV7uuS3vBtSoiyLZuUL8H9ir5OotIXa4mGRkgeSpVDoN0ftYSyaXRenngkas8F2KlhpFl2LlTed6li/LYogX8+68iVop7edQlpavXGlpULBqVFxJNiyP7iD9+TlhUXEEVKxERWJOUvb2V+KUTJxTritriuBY5mZKLpdzNpRqHpJ5fpRyHjD6tuChcqTgmK6pYyc5WAlxslJuvD2i1WgIDA7lYLA69vb1t/i5WBYvFQlFREQUFBRXK7ecXaz9JUizeFcelPOblgUcDabvlaL71HVmWycvL4+LFiwQGBqJVT0AVEWKlmmRkgNlLudMJ9LDdbErj6YG++GZIiJUa5uxZ5S5apwO1KVjLlspjPbGslC4IJ8VVFCvGRtFwBDwvipRll7BlWQElbuXECSVupV+/Wh9W01AfNBJlBEv5OKTgYPAnC52x+CrrSKwA5OSUfV3PiCi2DF10szVLlmXy8/Px8vKqIICSkxUhYjYrj+Up/X65Kvr1FkfzbSgEBgZavw/VQYiVapKRASZPpaOozeq1gNZTuIFqDdUF1K4deBZHPbdooTweOVI3YypHYiK0tVEQTkWOVtw+Pumi5L5L2BMrbdvCkiV1FrcSGeDF/9p34Ku9+5E0ss04pOBgaESxVcXPT7EIlcdgUHwcRqPiCqrHYkWSJCIjIwkPD8foRr+L0Whk/fr1XHvttRXcCs8/r/z7f/ABdOpUcdvZs+Hnn+GRR+D++902pBrF0Xxri7S8NDad3UR8YDxtw9u6tK1er6+2RUVFiJVqkpVSRJ6XIkCCfGyXVtZ6idTlWqN0vIqKKlbqiWUl8bzMkOK+QKULwqno45Xypmpci8AJTCZrALVNywrUaZBtc00M5z4P48q+eSz+zruCe6+MWLFlVQHFv+HvrzQRqudxKypardZtFyt1fyaTCU9PzwoX73//hdOnITS05D6lNBaL8n5iou336yOO5luTZBRk8PbGt1l+bDm7k5RyAA9f9TAfxXxUa2MojxAr1SQvMbMkbdnXdjlvYVmpRRyJlYQE287sWibzWDJeFGBBQlO67nox3q0VARNeICwrTnPmDBiNyAYD+eX7sZQWK7JcsQhHLXDuHJizvWjh70VkQMX3nRIr0ODESm3iqFMBNJj45HrBjM0zmL5huvV1x0YdiQuMq7sBIcRKtSm8WKp6rVewzXV03h6ikWFtYUushIcrpvXs7JJOcnVI5ukTbIrpQFiRmRY2Iv382ioCpomcQFGhjIehYfqqaxW1PGx8fMXA09atFYGSmqpkBDkSAzWE2gS6cWPb7wcHQwTFV9vKxAqIK245cnIgtziJwZ5Y8fNTHsVHVzmrTyrNQJ/q+RRP9HiCRr61/z9TnoYVXlwPMSZXUr0W0HkJy0qtkJSkRK9KUlmntSRZg2ylOnYFzd+ewPwWKYwfN53Bd7xps++Pb3Pl19aTQrITc2p7iA2T4vMql69lD0r8h1okrlxDudri3DnlUR1GecpYVhwFI6piJTPTfYO7BFBbKvn4lNSBLE/pZCqBfXKLctl2bhsA93e9v14IFRBipdqYUjMdVq8FJWbF2hvIWPduiEuW4lLrtG6t/GqVptgVJKl34HWAWm9DLnZDWCSNzb4/Wl8vCjAAkJOQVuvjbJAUn1e5fC17FdVaceFCLQ2oLM5YVpxyAwUU+5CEeaAMlbmAoH4bpc5mneX//v4/knOT63oobD67GZPFRLR/dJ27fkojxEo1saSXWFZsVa8F0PuUCrAVYqXmKF9fpTT1QKw4qrdRBkkiQ6O4FPPPCbHiFPa6BKrUsVhxxrIi3EBVJ8lBlwKV+vrRmS1mbvr5Jl5b/xpTlk+p6+Gw9tRaAPrG9a1X6dJCrFSXjMotK2XcQEKs1By24lVU6kFGkFpvozT2+v5k6xSxUnBeiBWnUC0r9VCsmM2KdxKcs6zI4UKsuEpDtqzM3DHT6naZv38+h1MO1+l4SouV+oQQK9VEm+2EZcVbiJVaQRUrV15Z8T01ZqUOLSuRAV483a+DtVGhFuz2/ckxKGLFeFGIlUoxm60tjSsVK3VQcv/iRWWIGo19o0lpsZIf0ACvuHWMM2KlUKM0ksw25dtfqZY5l3WO51Y/B0C4TzgyMtM2TKuz8eQZ86zCqU9snzobhy2EWKkmutySbCB7AbYGby06s3JLbTQV1tLILjNSU5UiCgBXXFHxfdUNdP482jpMX+4cEMPSzx/lx3lT2TAqym7fn3xPRayYhVipnHPnlIZLer3NujVASZn9OrCsqPEqkZFlu/+WxttLtoqVdA9hWXEVNcDWnliZvz2BOxcrjSS9xlZsJFlXPPznw2QXZXN1k6v5/dbfAfjh3x84kV43WYubz2zGaDHSxL8J8UHxdTIGewixUk088jIqdQN5eIDWrBRGKjIKsVIj7N+vPDZtWhKEWJrgYGu3OB/1l60OuHAsmzbZJ+hxZh+RbexYAYCC4gKDcqoQK5VSOm3ZXgGyOnQDqfEq9lxAAFJ2Fl4oIjpFK8SKq6j/0rZiVtTAdjVeTNLAUwvXs+jAylrvDF2aP478waL/FqHT6PhyxJd0b9Kdwc0GY5bNvLnhzToZU32NVwEhVqqNZEqjoLiwoD03kMFQSqyYhBuoRjhc7Odt08b+OsXWFV81gKAOyDmo3NHl6AMdlksv8lWElZQuxEqlqGLFXiYQ1KlYUS0r9oJrAeu4svElNd9GqX0VIVZs4kgQqoHtMmZytKu54PEiZwwTGb1gEJ/v+Lx2B1qKr3d/DcCUq6bQoZHSx+zFa18EYM6eOSRk1r71Z93pdUD9cwGBECvVorAQJA8l1UyDhJ/Bz+Z6Hh4gmRX7b5FJ1FmpEf77T3ls1cr+OsVxKz51KFaKjiquqoyAij2BSmMOUMSKNlOIlUpRg6brqVhxxrKijiuJCNIcnXIhVmyifsZRURXfUwPb0/VfkerxPgXa3SApcWMfbfuoTqwrJouJv0/+DcCt7W+1Lu8V04t+cf0wWox8vevrWh1TnjGPree2AvUvuBaEWKkWmZkgeSm/LIEaHzSS7Y/TwwM0VrEi3EA1gmpZad3a/jqqZaUO3UBqXE1BmJ3YimIsgYpY0WcLsVIprlhW0tOV+JZaxBXLygUaCbHiIgUFWD8zW4IwMsCL/7u+KTnalQD4F93Mo82W4a335r+U/9iQsKEWR6uw8/xOMgszCfQMpEtk2ezFMW3HALDt/LZaHdOWs1soMhfR2K8xzYLsu6jrCiFWqkFGBkieGQAE6u2UTURxA6lipVCIlZrBGctKsVipy5gVQ5IiVkxNHFtWpBBFrHjmptb4mBo8zoiV4OCSeJZazAhKzMznWFYKWr98x5aV4nSWS0msbD+3nSl/TmH6P9P5af9P7L+4v0aOoxpKPT0hyLYnHpNhE7JUgD63OTkfz2VUzFDGtR8HwJe7vqyRcTli1YlVAPRv2h+tpmyc1ZVRSjbjjvM7atXq88/pfwDoE9en3sWrgOgNVC0yM8HsqfxoBBkC7a5X1g0kegO5nYICa8ddZywrdekG8ktX/NC6eMdiRROmiBWvfGFZcYjFYk1bttbSsYVGo2QEJSYqYsWhmcM9zN+eoAR2toHGreC43AGwY1G7xCwrBaYCbv7l5gpxF0vGLWFEyxFuPVZpN5u9a+w3u78BIDzhHs5le5OdDfddeR9f7/6aXw78wgeDPyDEO8T2xjXAqpOKWBnQdECF9zo26ohOoyMlL4UzWbXXzHRnolJUs3vj7rV2TFcQlpVqkJEBRi+l0YS9TCAo6wYqFDEr7ufYMaWbbkBASYqqLWIVgeCZmakEHNUBobmKZcW7jWOx4tGoOHOpSIgVhyQmQn6+khMc6/gzrc24FVsZKHMOVGytYKUqMSt1mMlSGZ9u+5SEzAQifCOY0HECbcPaAvDOpnfcfiz13sNWvArAoeRDbD67Ga2kJS7jDkD5+LpGdeWKiCsoNBfy3b/fuX1c9sgtymXTmU0ADIivKFY8dZ60D28PwK6kXbU2rt1JSruSzhGda+2YrlCjYmX9+vWMHDmSqKgoJEli8eLFZd6XZZmXX36ZqKgovLy86Nu3LwcOHKjJIbmVjHSZQk/lxyfIgSrX60EyK911i8zCsuJ2VBeQ2l3XHiEhyAal5w51YF3JyoImFkWsBF1RiViJUMSKnzGtXl+U6hzVBRQXZ7+IiUot1lqx1VrBYqu1goqrbiCLBfJK9iXLMvf/cT9BbwUx9IehvLvp3TqrhJqen84b/7wBwBv93+DbUd+y4vYVaCUt60+vZ2/SXrcer7IAZjXrZnjL4YR6KoVYsrJAkiTuu/I+AL7Y+UWtuVw2JGygyFxEtH80zYNtuy6vjFRcQbsSa0esJOcmczZLCa66IuKKWjmmq9SoWMnNzaVTp0588sknNt9/++23mTFjBp988gnbt28nIiKCgQMHkt1A2mJmnc8h00v5ggf52b+jlyTAouQ3F4quy+5HDa51FK8Cyoko/kWT6kCsnDtZRBTKcb1aOQ6w9WqsiBWDXKhYDgS2cSZeRaUWLSuutFYoPaZKxYq3t+LSgjKuoO/3f8/nOz8noyCD5ceW89TKp+gwswPrT6+vxiyqxpsb3iS9IJ12Ye2Y2GkiAI39G3Nz25sB+Hjbx249niOxYjQb+XbvtwDc1fmuCl608R3GWwNt/0n4x63jsocarzIgfoDd2BCrWKkly4pqVWkZ0tJuVmtdU6NiZejQobz++uuMHj26wnuyLPPBBx/w/PPPM3r0aNq3b8/cuXPJy8tj3rx5NTkst5FxulT1Wl/H/k5tsVgpsgjLitspbVmpBFm1FaspGrVI2r9n0SBTKBkcu6sA3whfiigu4OPw6nWZU4diZfbu2UxcPJGZ22dy4OIBLLLF+l5kgBfTR3dAQ/HFyCLZba1QekyVihVJqhC3kliYyCN/PQLA41c/zoxBM+gW1Q2jxcgLa16o1SDNM5ln+HDrhwC8OeDNMsGjU7orTfp+2PcDKXkpbjumIzfQH0f+IDkvmQjfCIa1GFZBrPgb/K3ZN0sOL3HbmBxhjVex4QJSUYNsdyXuqpXzp1pw6qsLCOowwPbkyZMkJSUxaNAg6zKDwUCfPn3YtGkT9913n83tCgsLKSwVb5BV/K0zGo0YjdUXAuo+nNlX5uk0a/Vaf48Ah9tIcrEbyOKecboLV+ZbX9H+9x8awNS8OXIl85AiI9EAljNnan3OmfuUIOBkrxgamc1Kwxg7ePtAGsFEcAHjhQuOO/E64FI4v47QHj6MBjA3bYql1G+ArflqQkPRApbERMzV/Dy+/fdb7v7jbuV58Z17y+CW/HXbXzT2U27xR18RyZntwbzwZiG9r/Bk9BUets+DLKO7cAEJJWbFmCZjNJrsHlvn74+UkYEpLY28qAhmnJ5BTlEO10Rfwxt930Cr0TKq1Shaf9aafxL+YcXRFfRv2r9a83WWV9e+SqG5kGuir2FQ3KAy8+3aqCudIzqzO2k3X2z/gqd7Pu3y/m2d37NntYCGRo1MGI1lL+zf7VViUW5rfxuyWcbHxwxoycw0YzQq4vLamGuZu3cu60+vr/H/k+TcZPYk7VGO2+Rau8drE9xGCbLNTyHFmFLj49pxbgcAncI71epvhSvHqjOxklTso21U7ke4UaNGnFZ7vNhg+vTpvPLKKxWWr1ixAm9vB5UfXWTlypWVrnPuoER6sRA9d+wcyzKW2V1XzQbKK8pn2TL769UVzsy3XiLLDDtwAA2w/sIFsiv5bNsajbQAzmzezP5aPg9JG5R4rAuGRuys5Nj5+Vo6FouVf35bQXY1LUEN9vwWI8syS1OW8l/uf0QZoojxjKGtb1tG795NALA9PZ0LpT5TW/NtkpjIlUDqwYNsqsa535W1izdOKDEZ3QO6U2Au4L+8/ziSdoTbv7udp+KeKll3Q0sKz7RB0/oUy5bZjtXQ5eYyvLhf1QUaYU42O/yN6Af4A9tWruTDvR9wNO8oPlof7vC7g7+W/2Vdb0DQAJamLOWx3x9jWvNpNZ6OWmgp5If9PwAwyGMQf/75Z4V1rvG4ht3s5v2N79MmvQ1ayU57hEoofX6PHh0A+JCQsJlly0rMUkaLkeVHlwMQmRbJsmXLSExsAbTl4MGzLFu2BwBToSIMd57fyaI/FmHQGKo0JmfYkK7UdIn1jGXn+p0O1402RHMy/yTH847X+P/vphNKwG9RQhHL0mvvdzEvz04Mlw3qPHW5/D+QLMsO/6mmTp3K448/bn2dlZVFdHQ0gwYNwt9B+XJnMRqNrFy5koEDB6LX6x2uu+aJ5Rwrtqz07tqbYW2H2V13zpT3lCc6iWHD7K9X27gy33pJYiL6/HxkrZZrJk1Sito4QD5yBBYvJlanI6aWz8PyNxS/sKVJi0q/A7IM21D6g3Ro3IzAKo61uufXbDFXqANR25gtZh5a/hBfnytb0dNb7017jYVuwJW33gotWzqcr6TXw4cfEmo2V/l/cFfiLt77/j3MmBnXbhyzr5+NRtKw58Ierv7majZmbOS51s8xMH4gAEuWKJ/d1VdHM2yYnQjQI0cAkH18yc/1hiLo128YXnY8Rtq33oKEBFq2iGbpybcB+GzYZ4zrMK7MeldkX8Gqz1ZxKPcQXm29aty6suDQAvL/zSc2IJanbnnKZpHM/qb+/PjJjyTnJSO3kBnW0rXzUP78yjJkZiqXsdGjrya+VO+9tafWkv9vPuHe4Tx000NoJA2nT2v47jvw949m2DDFbyTLMq+efZVz2ecIah9Uo9Vb/1j2B5yGGzrcwLCBjuf+m/wbJ/ee5Fj+MV4c82KN/T5nFmSSuEepPXXvyHsJ9Q6tkePYIsuFFPw6EysRxe0xk5KSiCzVferixYsVrC2lMRgMGGxckPR6vVtPpjP7M6Vmk178gxLmG+ZwfU2xG8iIqV6KAnd/frVGcY0NqWlT9L72C/OpmIq78moSE9HU8ny9Lig1E+SYOKc+62xdMJjAdCGz2ufG1fN7JPUIYxeMZW/SXoK9ggn3CadPbB/eH/I+njrPao3FFYxmI3ctuYt5++ahkTQ82v1RMgsz2ZCwgcOphxk7EnZ9KRHYooWSdleMzfmqwdXJyVX6PAtNhdy66FZyjbkMiB/AnFFz8NAq/9fdmnTj4ase5sOtH/LIikfYd/8+PHWe1gZ7MTFa9Ho7ok8NUolohPaU4h3Mztbbbx0VGAjAt8kryDXmEuMZw63tb60wp9jgWO678j4+2vYRr298nUEtBtWodeXnQz8DMK79OAwetm8a9Ho94zuM58OtH7L8+HJuandTlY6lnt+0NKXMEkBsrL70V4CVpxRrxJAWQ6zjUYvG5eRo0OtLxFTvmN7MPzCfLee3MLDFwCqNyRk2nFUsK/3j+1f6HezWuBuz987meN7xGv19PnBOsfjGBMQQGWCjE2QN4sqc6qzOStOmTYmIiChj3ioqKmLdunX07NmzroblNGYz6DOTSwJsPQMdri+h/LMUyfZ90YIq4EJwLVBywVJTCGoRv4zignDNKqYtmywmPtn2CfctuY/7/7ifB5c+yJ+d05EB08XaDbBdeXwl3b/qzp6kPcjIpOancijlEJ/v/JxbfrkFYy2l38uyzIRFE5i3bx46jY4fb/qR9wa/x1fXf8XmuzYT5xnJySC481YvZGd+9NSboJQUh/FC9vhq11ecyjhFpG8kv97yq1WoqLza71UifSM5lnaMdzYq9URU750zfYGkiAi1MXil6ctmCT7OXAHAiLARdkXIM72fwaA1sCFhQ42WlU/PT2fZUcV9cFvH2xyuO7T5UACWH19e7eBR9d84JESpYFsadTzDmpdYMOzV1Lsm5hqAGs0ISs5N5r8U5feqd0zvStdXg2yP5x2v0SDb+l5fRaVGxUpOTg579uxhz549gBJUu2fPHhISEpAkiUcffZRp06axaNEi9u/fz6RJk/D29mb8+PE1OSy3kJwMkfJ5a4Cto6JwAFpJEStGSYgVt+Js2nIxsnrVSEwEsxmLbOF89nm2nN3CxdyaLcMeVlwQzqdtWbFyNuss/ef25+E/H+bLXV/y+c7P+WzHZ3w8fAN3jIKclNprvvfFji8Y+sNQMgoy6NGkB/89+B/77t/HD6N/wFPnyZIjS7h90e2YLa5f7F1lwcEFzD8wH71Gz6Kxi7il3S3W94K8gvgl8B48TLAoNs+ageKQ0FAlm8ZiUQSLC+QZ83j9n9cBeOHaF/A3VDR7+Bv8mTF4BgBv/PMGCRlnOHVKec9hvbri+D0aNbKKlVRHXRb8/fmjJZyypBHsFUyfIPsdcqP8oritgyIeftj3g4OdVo9fD/1KkbmIDuEdrAXN7HFt7LV46jw5m3WWg8kHq3Vce5lApzNOcyD5ABpJw6BmJUkcqlgpXx1DFQ+bz27GZKmZ32hVLLYNa+tUtVy1km2WOYuErJrrwKxmApXvUVTfqFGxsmPHDjp37kznzopie/zxx+ncuTP/93//B8DTTz/No48+ygMPPEDXrl05d+4cK1aswM+vfuZ5lyYxEcI1Z8kptnYGeToWKxpUsWKuky6flyyuWlYiIpA1Gk74mej39bX4TPOh8YzG9Pi6B7EfxPLy2pfJMzof9OUsZqOFKLPygxPUqaTGyp9H/+SKz6/gn4R/8PPwY2rvqbzS9xWmXDUFjUXD951gbJPvrAWbapJVJ1YxeelkzLKZOzrdwd8T/6ZVaCvah7dnfIfxLLxlIXqNnp8P/Mw9S+6p0e9xVmEWj/71KABTe0+1WaK96xkz7ynGBZ5a+RRHU4863qlOp9yCg8vpy59t/4yknCRiA2K5u8vddtcb224s18RcQ6G5kPc3zLTewcfFOdi5OpZSYqUyy8qHVytP77zizkoDQtWuvr8e+rXGLsTz9inlJsZ3qPxG00vvZY0LWX5sebWOa6/Gyp/HlODentE9y9xI2rOstA9vT4AhgJyiHLcXrVNRrTaqFacyPHWetAtrB9RscThhWQH69u2LLMsV/ubMmQMowbUvv/wyiYmJFBQUsG7dOtq3d6zK6wuJieDnWdK3oTI3kFYqsVGa5Zq/K71scNGygk7Hko7edLsX1iZuosBUgEbSEO4TToGpgFfWvULrT1q7veZC8oGLeFKIBYmQTkpfmhXHVzDixxGk5qfSJbILu+7bxbTrpvF/ff6PD4d+yEPrHyIkD/b5pdDz655urU1RYXy5yUxYNAGAe7rcw5wb5mDQlb0IDm0xlJ9u/gmtpGX2ntks/m9xjY3npb9f4nz2eZoFNWPqNVNtr3TsGA9ug8HaVpgsJqvlwyFVqLWSVZjFmxuUYOeX+rxUwf1TGkmSePTqRwGYu+8r0BbSqJFSy80upcSKqqUciZV9fvn83RS0ssT9V95f6fj7Ne1HmHcYKXkprDm5ptL1XeVc1jnWnloLYG0OWBlDmg0BSkRFlY+tuoGi89l0PMXazkDdr+pyUlHvg8uLFa1GS6+YXkDNuYLUAn3OihWALhGKtaOmisPlGfOs1q3L2rJyKZOYCN5eyn+Kv9an0owJbam7nyJRxdY95OeDmubupGXlvS3vMer6HNK9oLt3S/bfv5+C5wtIeiKJX8b8QmxALGeyznDj/BtZdGiR24aatlsZ5wVtFFovDw4lH2LML2OwyBbGtR/Hpjs3VSi93ayoJ9u/hKZZXpzJOsOkxZNqxJohyzJ3/n4nSTlJtA1rywdDPrAbAzG6zWie7f0sAI/99ViNWKF2J+7mo20fAfDZ8M/sB/QePYoEvNbsHgC+//d7jqZVYl2pglj5YMsHpOan0jKkJRM6Tah0/etbXU8T/yakFyVDu1/KZKjYRHUDRURYxYojN9DHeuXCNTq7CdH+0ZWOR6fRWavH/rT/p0rXd5Wf9v+EjEzvmN7EBlbSn6mYIc0VsfJPwj/kFOVU+djnz4NvxwQ2Bq9h/Kyt9HpzDd9vOWqtEjusRdmMm9JuIIul7L56RyuuoJqI7ckuzLZaMK6Nvdbp7a5odAUA+y7uc/uYAPZd2IdFthDuE06Un53mSvUEIVaqyPnzYPBUfvACbfivy6PRlPzgCrHiJo4cUXJ8g4KUeIRKmLVzFlPXTMWigbt3wjrPybQLb4deq0eSJG5uezOHHjzExE4TscgWbv31Vv4++bdbhppzUHEBXfSKJTUvlRE/jiCrMItrYq5h9g2zK1gxAOSgYJpmwFd/NsGgNbD06FI+2PKBW8ZTmk+3f8ofR/7AoDXw400/4q13XK9oau+pRPtHczrztNXi4C4ssoUHlj2ARbYwtt3YMvEGZZBla/XablcMY3iL4VhkC9M3Tnd8ABfFSmZBJjM2K3Eor/R9BZ2m8gRKnUbH5CsnKy+u+oSmTSvZwIYbyJ5YySjI4HuTIlYePud85+ix7cYCsOi/RW7//Zm3v9gF1N75WMOWIS2JC4yjyFxktcpUhZMX8gkevA9VwltkeGrJz+QZ84j0jaRTo05l1lfFiixDbm7ZfV0TWxJk6+6bgs1nN2ORLcQGxBIdULnAVOnYqCMAey/UjGuqtAuopuvwVBchVqpISkIeJk/l2+6oiaGKVissK25n/37lsV07xw0MgW3ntvHQnw8B8Mi5Fny5BAznKwbUeum9+Or6rxjVehRF5iJu+OkGdp53XLzJGYzHFMtKWlATbvr5Jk6kn6BpYFN+veVXm0IFQApRrlxdzuTz/uD3AXhm1TPsOL+j2uNROZxymKdWKkXM3h74tvXH0RE+Hj7W8by98W2Opx1323h+3PcjW85uwdfD1xqsapOUFLUbHTRtykt9XgKUC+f5Qgd9n1wUK59u/5TMwkzahLYpE+BbGXd3uRuNrIcmW/FsWsn3R/VlREVValn5du+35MtFdLgAvc87X/+md0xvIn0jySjIYMXxFU5vVxn/pfzHrsRd6DQ6xrQb4/R2kiSVZAVVI27lfFYu5cu55Gq2A4pVpfwF2MsLtMUfW3lXUNeornhoPbiYe5FjaceqPCZb/HO6OF4l1nkXEECH8A4AnMs+VyNu4O3nlM9K7UVUnxFipYoUnU601lgJ8nGiiI7egL44VEWIFTexr9g02qGDw9WSc5O5+eebKTIXcX3L67m78GqlY4udqrA6jY55N82jf9P+ZBdlM2zeMM5knrG5rrNozihi5eO+x1l3eh1+Hn4sGbeEMJ8w+9uEKmLFqyCNyV0nc1ObmzBajIxdMLZapnMVs8XM/377HwWmAgY1G8TDVz3s9Laj24xmQPwACs2FPPbXY9UeCyj+82dXKy6m53o/59gsrfYEio4GT0+6Ne5mta78kvSL/e1UsXKx8syv3KJc3t+iiLLnrnnOZpEzu4fxbUSjFOXifTjgU/srFhWVpLTExjoUK7Is8/mOzwGYvAOkLOcbvmo1WmsPnPkH5ju9XWWogbWDmw12uZiY6gqqjlhJPulDqZZMyMjka7YBFV1AULa1UvmMIE+dJ1c1vgpwf9yKq8G1Kv4Gfxp5KN/Zmgj83XJuCwDdm3R3+77djRArVcRy9jwXfJTnji44KrLeAw8hVtyLE2LFbDEz7tdxnMk6Q8uQlnwz8hsKQ4p/VB3UWvHUebJ47GI6NerExdyL3Dj/xmrFZ3heOM2P7WFRM+Uu+7tR39EuvJ3DbTwiijsvm/KQCgv56vqviAmI4UT6CZ5c8WSVx6LywZYP2Hx2M34efswaOcslM7AkSXw89GN0Gh1Ljixh6ZGl1R7Pe5ve42zWWWIDYnmsRyUCyEYDQ9W6si59nf3YFRcsK7N2zSIlL4X4oHhrRo0raHc9CMD2gh9JzbNjKjlzRvFJeHpCeLjDANt1p9dxKOUQPlovbv+XiqaBSlDnsPi/xeQbq9/JW5Zll7KAytMvrh96jZ7j6cerZMkwGuHCSS/S/uqApvi7a9GcwaRJxKA12HUh2guyhZqJWyk0FbL13FbAdbEC0NRL8SO62xWUVZjFoeRDAHRvLMTKJYvu4nnOBCjPYwJiHK8MoNdbxUptFdW65HFCrHyy7RNWn1yNj96HRWMX4W/wJ1+9IlTSb8fP4Mdvt/5GqHcouxJ3VStd97zuMHdfrzx/rvdz3ND6hkq38Qz3x0SxzTotjUDPQObeOBeAL3Z+wZ9Hq55JcTjlMC/8/QIAMwbPcO47XI7Woa157GpFVDyy/BEKTAVVHs/57PO8uVGJf3lzwJuVV8m1IVa6Ne7GsObDsOAgdsVJsVJoKuSdTUpht2d6PeNUrEppLBa4sLMHJHamyFLAN7u/sb2iGiAeGwuS5NCyMnPHTABujx2JfyEui5Wrm1xNTEAMOUU5LD1afXG5/fx2jqcfx1vvzQ2tKv8+l8fP4Getb6IWcHOFpCRF5xUeiuGfp/vx4z1Xc3s/xWJ2Xfx1+HrYrmhtL30ZysatuIudiTspMBUQ6h1K61AnSyyUoqbEyvZz25GRiQuMo5Fv1Rql1iZCrFQBWQav9PMkFIsVZyLyJYOwrLiVzEzlrhSUmBUbnEg/wXNrngPgvUHv0TasLQAF6hXh3DnlZDogNjCWBWMWKK6hffN4e+PbLg/1Qs4FHr7+GHke0N2zJ6/2e9Wp7QICJdIprhFRfKvdN64vj3Z/FIC7fr+LtHzXq9sazcYy7p+7Ot/l8j5UXrz2RaL8ojiefpx3N71b5f08v+Z58ox59GjSwxoM6hAbYgXghd6KAJu3f57tuivh4cpjJWJlzp45nM8+T2O/xkzsNLHy8ZTj/HkwFklIOxTryswdM20X0itXNc5egG1SThILDy0E4P6OxecrK6vS729pJEmypha7o0DcD/8q+7ix9Y34ePhUaR/DWwwH4I8jf7i8reo9i4yExkFe9GgWwt+nFQHvSDw5Eis9o3siIXEs7RhJOUkuj8kWaspy75jeVQpiVcWK2q3ZXWw5W+wCagBWFRBipUqkpkK4JdEqVly1rAix4gbU4NomTUoafpRClmXuXXIvecY8+sb15Z4r77G+l69eEfLyICOj0kP1ievDR0OUVNpnVz/LzO0znR5mWn4aA+dex8lgC7EZ8OG1PzjdGNDfH9KoWCVs2nXTaB3amsScRO5fer/L1p4nVjxRZfdPefwMfrw7UBEp0/6ZxukM+x3T7bHqxCrm7JkDKFYep8ajipUWLcos7hrVla7+XbHIFtt1V0rHrJTPXS0m35jP9A2KZeapnk/ZDYB2xMmTymNs1jiCPIM4mXHSdmxGacsKlLGslD6tX+/6GpPFRI8mPejUtLginNEIhYUujev2jrcDsPTI0ioJXRWTxWSNfXElC6g8arG/tafWkl3ofAwOlIlLBiAxO9HqbrFVRFDFkVgJ9AykQyPFUusuV9Dqk6sB6BNrv9KwI+K84gA4lHzIrdcO9bMSYuUSJjERojjvkliRDB4iwNadVOICmr1nNqtPrsZT58mskbPKBEdaDAbk0tYVJ5jcdTJP93wagAeWPcAXO76odJvMgkwGfz+YfSkHiMiG+d8G0bZ9nFPHAwgIsC1WvPRefDfqO7SSlp8P/Mxr619zep+zd8/m420fA/D96O+r5P4pz63tb6VPbB/yTfk8vuLxyjcoRWZBJnf+dicAD3R9gKubXF35RrJs7VRMs2YV3h4boVhmvv/3+4rWFdWyYjJBerrN3c/YPIPTmadp4t+kjMh1hRMniocX483/rvgfoGQWVUAVK8UlbtWvpckEOcUx1AWmAuu293e9H0o37HTRFdQ+vD2dGnXCaDHyywEHgciV8PfJv7mQe4EQrxD76eVO0Cq0FS2CW2C0GFl5YmXlG5SifPVa1TpzVeOrHAZn2wuwVbH2CTpdfVdQblGu1bKiBhS7Spg+jEDPQIwWY7XbE6jIsmwVK079z9UDhFipAomJEKY9S1Lxb4azYkVYVtyIA7FyIecCj/+lXDRf6/dahWJrQMntWCVxKyqSJPHmgDd5oscTAExeOpn3N79vt0fO4ZTDDP5+MDvO7yAYP1Z/C+bM9rjSScLfH1KxHXHZNaornwz7BICX1r5ktUw4YuvZrUxeqtT/eLnPy1zf6nrnB+MASZL4ZNgnaCUtCw8ttB+fYYPH/nqMM1lniA+K562Bbzm30fnzikVMq4WWLSu83cK7hRK7Ysu6YjBYuxbbcgWdyzrHtA3TAHh7wNuV1pyxh2pZadoU7u92PxISfx77s2IgaTk3kLd3SUM+1RU0a+csEnMSifaPZmz7saDROI4SrQTVuvL9vu9d3lZF3faWdreg11avG7BqBXHVFaS6gVSx8tvh3wDHLiCo/KNT42g2nKm+ZWXtqbUUmYuIDYilVYiTVbbLIUkSHcOL6624KSPoVMYpLuZeRK/R0zmyfpfZVxFipQokJoLWLwFZAk+Nh1Mpe5KHcAO5FVWs2GjP8MKaF8gszKRLZBdr6fPyyE2KC2o5KVZA+dF4Z+A71qDSx1c8TucvOrPs6DKrKyanKIdnVz1Lh5kd2HpuK4GegXx1fCxtk+FCsGvBdaUtK5aUiib7yV0n82wvJdX3niX3OKyf8fepv7n+p+uV2jGtbuDFPi+6NJbKaB/enlf6vgLAA0sfcKo2zR9H/mD2ntlISMy5YY7dgMgKqC7Ali0V8WEDNXbl+3+/Z3fi7rJvqlc3G1a1qaunkmfMo1d0ryplAKmUFivNg5tb76oruBDLuYESM/MJaZOC1i+f1FTFqqK6pJ6/5vmSUv+VmQccMK79OCQkNiRs4GT6SZe3v5h7kfn7FRfQHZ3ucHn78qhiZenRpVhk2645W5S2rOQW5Vqr1lYmwh25gaDEsrInaQ9Zha6LwdKorr8hzYdUy92qFrdzV9yKalXpFNGp8mD2eoIQK1UgMREKA5S7smifSKe+hBpPYVlxG7JccsEqZ1nZnbibr3d/DcBHQz6yn8WhWlacdAOpSJLEe4Pe4/3B7xPoGci+i/sYPm84/m/6Y3jdgN90P97a+BZGi5FhLYax454dtN2TAUBOkzYuHat0zEpRku34gjeue4Nx7cdhspgYPm84jy1/rEwsgtli5sfEHxkybwgXcy/SqVEnvh31rUs1Q5xl6jVTGdlyJIXmQm76+Sb76booRfomLlYCVx+7+jHXimU5kQXWNaorY9oq7QxuX3R72UwlO0J1y9ktfPfvdwAOWw44gypW1FL7D3ZTAm2/2fMNuUXFpVNNppIxxMUxf3sCvd5cg27QVhpPXsNv+xLKWFX+1/l/JQcovuJKmZkuj62xf2P6N+0PlNRJcYWZ22dSaC7kqsZXuSXeoXdMb/wN/lzMvWgtUuYMqqstJkbps1VoLiQ+KN7a/M8elYmVxv6NaRrYFItssQahVpXlx0vESnWwWlbclBG09WyxC6hxw3ABgRArVSLlVA5pAUrNjZigymppK2gMpVKXLSJ1uVqcP6/EG2i10KZEAMiyzKN/PYqMzK3tb7U2JrOFrN5du2BZUVGb1R2fclwJwNQayCnKsYrQZkHNWDJuCUvHL6VZcDN8zyq1DJzuDF2MwQBZWkWsGC/YFisaScPsG2ZzU5ubMFlMfLD1A5p/1JwJiyYw6LtBtP28LfMvzEdG5u7Od7Pprk34O9EeoipoJA3fjvqW5sHNOZ15mjG/jOFCTkVXy/Jjy+k3tx9p+Wlc1fgqXu/vRAPC0jiwqpXms+Gf0cinEQeTD/Lc6udK3rAhVrIKs7jvj/sA+N8V/6NrVFfXxlQO9UKqltof0nwIzYKakVGQwVsbi91d588rgkWnI9E7iKkL92EpDqqVNDD3v11M+8eGVQUqv+JWQmlXkCsB2gWmAj7b8RmgiEx3lGj30HpYL+auuIKOFocjtWgBC/9TMqWub3l9pWNy5qNTXUHViVs5nqbUj9FpdFZxWFXUytJ7kva4pRVAQyoGpyLEShUoPFUqEyjYObEiYlbciHqxKucG+PXQr6w/vR4vnRdvDXAc/2B1A7loWSlNsFcwbw98m6Qnkzjy0BHOPHaG5KeSOfLwkZJsBJOJsAzlV9W3q+s1FvK8FLFituEGUjHoDCy4ZQF/3f4X7cPbk16Qzvf/fs/KEys5mXEST40nc2+Yy6zrZ1U5BsNZAj0DWXjLQrz13vx96m9aftKSGZtnkJqXyoaEDUz7ZxojfxxJnjGPQc0GsfqO1XjpvVw7iB2rWnlCvUP5+nrFyvb+lvdLOg6XEysFpgJu/OlG/r3wL6HeoUy7bppr4ylHYWFJPIUqVrQarfU7+dbGtziSeqTEBRQdzcn0fKtQUcnWLicp14ZVBaotVka3GY2nzpP/Uv6zugSc4cd9P3Ix9yJN/JtwU5ubqnRsW4xoURy3ctQ5sZKVVVKEOCQ6jQUHFwA45bpTY1YcedCsQbbVqLfy1/G/AOgV3avaNwhtQ9ui0+hIL0jnbJbrN1ilKTIXWV2jDSUTCIRYqRLyOddqrABovUTMituwcWddYCqw9rh5qudTlQc9uxhg64hAz0BahLSgiX8TQr1Dy7pYTp3CQy4iH08iu7ueeVPkoxbeqDzNdFCzQey+bzc/jP6Baf2nMeeGOfw57k++bPsl49qNc/nYVaVDow6snbiWrlFdySrM4okVTxD6TijXzL6G59c8j8liYnyH8SwZt8T5OBUVsxkOFmdEVGJZARjecjj3XalYTO5YdIeSjlpKrJgsJm5dcCt/n/obPw8/lt+2nAjfCNfGVI7TpxVPpY8PhJUqbj26zWiGNh9KkbmIB5c9iKwG18bF0TTUB00pg4BROkeGXglife6a58paVUAJaAKkKsSsgFLGXe119Mq6V5zaRpZla/uBh696uNqBtaUZ2mIoEhJ7kvY4dTE+fhy0fvlEdEzh2wNfU2AqoFOjTtZy+Y5wxbKy9dzWKv9el45XqS4GnYE2oYoVubpxK3uT9lJoLiTYK9h28kE9RYiVKqC9mOha9VpA6+mBvjh2TIiVamLjznrunrmcyjhFlF8UT/d6utJdWN1AamG5GqJw738AHKYVzVs533hOpchXEStSuv34j9LoNDrGdxjP1GumMvGKiVzX9Dr8dTXj9nFEt8bd2Hr3Vr6+/mvCvJUrdhP/JgxvMZyPhnzEd6O+q3gBdoZjx6CgQEmbUQNCKuHdQe/SKqQV57LPcc3sa7ir6Be2NYYPDLvpN7cfvx3+DYPWwO/jfufKqOo3dCsdXFvaI6G2KDBoDaw6sYqfTxVXkY2NJTLAi+mjO6CVJCzkcdHjdWQpl17RvWwX7aumZQWUgn46jY7lx5Zb02sdsebkGvZd3Ie33pt7ulQtpdseod6h9IjuAWAN3nXEj1vP0XjyGjyGbuH1tUoNpMldJzvllnLmo2sd2poQrxAKTAVVamRaaCq0WvLcIVZACYaFkk7JVaV0Mbj63mm5NEKsuIgsg2eaazVWQATYupVyAZYmi4m3NymVZZ/u+bRz1TRV+3xGhv0Wt24gfZMSr3JC39paQ8MVLIGKWNFlVb2AV12hkTTc2flOzj9xnvRn0jnz2Bn+GP8HD3d/uOoBvqU7bWuc24evhy+b7tpkvcB+k7yC7vfAY50S2ZCwQalXM+Zn+sb1rdqYylE+XqU0zYKb8dw1SvzMY8YlHAnBmgk0tlsM65/pg4f3HEyaM3iZolhwywLbFgw3iJXmwc2tQuj5Nc87jIUwW8y8vO5lQInpCfKqWIixukzqNAmAT7Z/YrckAEBGISw+dwBJA4Wa/Rg1Z5FkT/rHjHLqOM58dJIkWa0ralE3V9h4ZiO5xlwifCOsmTzVRXXZVLcVwKqTStZUr2j7MX31ESFWXCQrC0JN5zituoECnHMD6YQbyD2YTCVugGKxsuDgAk6knyDEK4S7u9zt3H68vUtSWI/aKMvuJlTLSkpoa6pyE6OKFX12wxMrKjqNjkDPQPfszMng2vIEewXz5cgv2XjnRq4MvwKfIhh8DN7p8wYHHzzotpozUNayYounez1Ny5CWJGrz6DQZZgQfxmg2sv70ep5Zcx/H5WVg8qDTfwvtu6SqkbpcmhevfRFPnScbEjbw5zH7vabe3PAmGxI24Ovhy5M9q99E0xa3d7ydEK8QTmWc4vfDv9tdL7lAQpVV2VrF1eJj7ktqtnP9m5zVeSNbjgTgl4OuF89TA4UHNxvsNutFv7h+AGxM2Fjla0ihqZDVJxTxZasrdX1GiBUXOX8eAj1Pk1Mc1+l8zIqHaGToDo4eVSIYvb2haVNkWebNDUoDvEe6P+JajxK1VLtaur0G0B1TxEpBU9fSllWk0BAS/ULY0agpiRcy3DiyBoqTwbX26Bndkx2Td5H9oTfLv4cnG4+hZUjFwnKukpiZz6bjKSRm5ldIWy6Pp86TVRNWMTDRmwI9PJH+EwFvBtBnTp+Snj1LP8OS4CD4UU1droZlBZQ03Ye6PQQo1hVbdU62nN3CS2uVjtafDvuUuMC4ah3THl56L2t80QdbP7C7XpinDDKYySRPuxGAAPMw4kKdCx53JsAWYFSbUeg1ev698K9LlWMLTYXWFPhRrZ2z9jhD27C2hHmHkW/KZ9u5bVXaxz8J/5BrzCXSN5IrIq5w29hqAyFWXCQxETQBpwAI0fg6fXEUlhU3sbU4c6FzZ9Bo+PPYn+y9sBdfD18euuoh1/alipWasqzIMoFJihtI2871TCCA8xHZ9Jo8m/HjptPrg43M357gzhE2PKpoWSmDJCE1Kb7JcEOAtVofZfysrfR6cw2HCpVzZM+yAhDt15i/5pj4Ygn46nzIN+UTYAjgjk538H7nVbD7LsfeSTe4gVSe6f0Mfh5+7Enaw20LbyOnKMf6XmZBJuN/HY9ZNjOu/TgmdJxQ7eM54oFuD6DT6Fh/en3FYn7FBBqgcEMHsrUrQDJhsLTkvVE3EBngXFaZ+tEVFECRg5/iYK9gBjcfDMBP+39yeg6/Hf6NlLwUovyiGN5yuNPbVYYkSVZX5d8n/67SPtTu1kObD21Q8SogxIrLnD8PJv9EAGK8I53eTuctYlbcwubNymPPngBWq8rkKye77kdXO/bWlGUlORmfwnQsSAR1d/3uPTEzn72e+7AUx2ZYZHhu4X4SM/PdPdKGQX5+ybmqomXFShUqGNsiMTO/TH0UiwzZrfej9csv32OxLBcvIhUWce9uDccf+I9Nd27i4lMXmXvjXAa3uA6oJJTKTW4gUIJbPxn2CTqNjp/2/0T3r7qz5uQaXl//Ot1mdeNkxkniAuOYOXxmjV/gGvs3ZkzbMQB8uPVDm+vk5OhIOmQkEyVd+c3BTzC2m/OZdqVbXlT28aldqn/a/5PT9U2+3PklAHd1vst+UcoqorqC/j5VPbHS0FxAIMSKy+zdC3kByq9ItAtN4PTeetHI0B1s2qQ89uzJ7sTd/JPwDx5aDx7r8Zjr+6ppy8p/igvoFHE0betiLRHgZEpuhWVmWeZUSl61h9YgOXRI6ZQcElLSPbmqRLvHsnIyJbdCfRRJI+MdnudYrKg1VqKiCA9qQo/oHtbsKDUQOyNDCdGyiZvcQCp3dLqDvyf+TaRvJAeTD3Ldt9fx4t8vcjTtKP4Gf3686UcCPAPccqzKUFtk/Lj/RxKzEyu8fy7RE0ZPAI9c+sT2YUoPJ+PUitHrwav437Gyj+/6VtfjpfPiaNpRp7JwjqUdY/XJ1UhItrO4qkm/popY2Xx2c9mqzE5wPO04h1MPo9PoGBA/wO1jq2mEWHGRvRuyuRigtGWPCXM+R13vIywr1SYjAw4cUJ736GENfBvZcqTDLqt2US0rR48qaV5upuhfRaz8R2vHFy47NA31ofx9rFaSnPbNX3KUzgKr7h2+mywr5eujAMgWieYR3ugc3VSXa2BYmuDgkucZGXa2d6NlRaV3TG923beL/k37o5E0DGo2iDk3zOHMY2dqtTPvVY2vokeTHhSZixjx44gy7SMAfk9dCNGb0Zr8mHvj3CplljnrRfP18LUWeHTGFfTVrq8AJV05NrDiua0urUJaEeEbQYGpwFoy31nUAOpe0b1qTXi6EyFWXMBohKRdpdKWQyu2p7dHGTeQqbAGRncZsHWrIiqaNUMOD7dWrby57c1V21+z4vOXkVGhq7E7yNqmiJWTHq0p0pUEYDpLZIAXo5p0QCq+ddciM210e6d985ccanBtdeJVVNwkVkrXRwGQkMhY14rY9rmOz7VqWYmLq/CWTmet+WbfFeTGmJXSRPhGsGrCKrKnZvPX7X8x8YqJNdaewRFfjvySUO9QdiXuov/c/qTkpVBgKmDRf4vYZFDcLD0zP66yIHClabVaFXf+gfkOGy0WmYuYvWc2APdeeW+VxlUZZeJWXHQFNWQXEIB7HWqXOP/+C8FFiS7XWAHFDWTNBjK6Zr4TFKPGq/Towf6L+zmadhSD1sDwFlUMYvP2Vi5aZ88q1pWqFEJxgHm/Ely7tVcX3ntrDRYZNBJMH93BaR/7gPgYLM/NZ2zgd8QNuobIbiPcOsYGhRMNDJ1GFStuKAo4tlsM17YM41RKHo+/noGlz3/s1kCvNx2c63LdlssTHAyZmbUvVkC5INZ0W4bKaB/enrUT13Ldt9ex98JeOs7sSEZBBvmmfJCAg6MZUo2Oz64YpoY2H4qfhx8JmQlsOrPJWn+lPL/99xsXcy8S6RtZ9d8kJ+gX14+f9v/E2lNrnd4m35hvFTcNVawIy4oLbN0KjTlnrV7rbI0VAA/f0pYVIVaqRKl4lV8P/QrA4OaD8TP4OdioEmowyNZw6j8S/UL4p1tQmQBMV4Jk/f0hMzuUHmf2EXnuhNvH2KBwRyaQipssKyqRAV7EhXqTGP4fqlfC4bl24AaCEt1cmViRCgqQjJdmKYR24e1YO2ktkb6RJOYkkm/Kp7FfYwKO3Am/f03LllV3Bbqi9bz0XoxuMxqAx/56zKYbPzUvlSdWPAHAnZ3vdGsrgvKolpXNZzeTb3Tud2TtqbUUmAqI9o+utCt1fUWIFRfYsgU6STs5W/xFd8Wy4uFTYlkpLBJuIJcxm5UTANCzZ4kLqE0VXUAqNRVkm5eHf/ppTgZFIZf7TXUlSDYgABIpzjpTu+Ndjpw+rcxfq4WOHau/P1WsJCcrOaxuYP/pXMoHGdk912oxlqqKlVIpLbr8Szc7rHVoa7bevZWZw2eyd/JeTjx0AsuSmVAQWKU4MBVXDVOv9XuNIM8gdpzfwQtrXijznkW2cMfiOziTdYYWwS2cavdRHVoEtyDKL4oicxGbz252apvv9yl9poa1GNbgUpZVhFhxgS1boKXfOswa0KIh0tf51GUPTw0ai/IlKSgUlhWXOXhQsdn6+vJfhI4DyQfQa/SMbDWyevstHWTrTvbs4YJfMCe8oqsVJBsQAOcpDh5OrJgZcdnwT3GJ8S5dwNfF5oe2CA4GT0/luZtEYN4FH8qHNNg81wUFcOSI8ryd7btcVazYDaXS6RQ3JqC/hMUKKBbsyV0n07FRR9LTJbKzlayp5s7nN1RAjQmyG8BsYwxqB+93Nr3DiuMrrO+9s/Edlh1dhkFr4Jcxv9R4jI8kSdYU5qVHlla6/umM09Z+S2rRvYaIECtOkpoKp48WEhjwLwBNfCLRapxvTGcwgNasrF9gFJYVl1FdQN278+vhxQBcF39d9cu411AV2/lrDtBr8mxeuPEBZEqSV7SS5FKQbGBgKctKcrIS5X05smGD8njNNe7ZnyS53RV09ogXaX91QDWl2T3XBw8qlsLg4JKWD+Wo1LICVvOALrdiivulyvHjymcbFSXj40Kx6vL4hOVjiEnhdLLzQm9Um1Hc3/V+ACYsmsB9S+5j/K/jeX7N8wB8PPRja7PBmmZsu7EAfLX7KzILMh2u+/6W9zHLZgbED6BzZOfaGF6NIAJsnWTbNujCLhIDlMIH0cEOylPaQK8HjVkHmCgSYsV1bMSrVNsFBGXdQLJc/ZRYiguFZUdYi7kBSDJ8Mr4zXWKDXMrm8fODHI8QjEU69JggKamkRsjlhGpZcZdYAUWsHDvmNrHy77+Q828Mdw8P45a78ogL9bZ9rvfuVR47dbL7fVPTlysVK0lJl7xlpTSqAbR5c5kKPjcnmb89geX6fUSMg6UyXLvd+YD39wa9xz8J/7D/4n6+3PWldfltHW5zvi+ZGxjecjhtw9pyMPkgM3fM5Nnez9pcLy0/zZpO/VTPp2ptfDVBnVtWXn75ZSRJKvMXEWGneVcdsmUL9GQT6+KU1x0auZaRoNGoYgUKjaLOissUi5XTVzZjd9JutJKWG1rfUP39qg1c3Ji+fDI5F0u52g8WINjH4HLasSRBeISGJIr/Jy5HV1Bqaknzyl5u7BTrZsuKqkGu7uRFj2Yh9s91abFiB5csK3mXT5HAY8cUgVJVF5BacdhaVUlyLeDdS+/FH+P+4IVrXuCVvq/w3qD3+Ommn5h9w+xajQXRSBqe6fUMAB9s+cBuoO3M7TPJNebSqVEnBsYPrLXx1QT1wrLSrl07Vq1aZX2t1TrvXqkttmyBe9jIo8VV09WOnK6gNykfd57p8rkTcgvJyVY3zZZIM+yBLpFdCPUOrf6+ayB9uWluChqLpYxlpTrF3Bo1gvMJUURz9vIUK6oLqHVrCAtz337dKFYslpJkJQcaREGIlSpz9KgiCJo1q1oRR1sVh9UgaGdvJGIDY3mt/2tVOr47Gdd+HC+seYEzWWeYu3cuk7tOLvN+gamAj7Z9BChWlYYaWKtS55YVAJ1OR0REhPUvzJ0/SFUkNRXefFMJ2rdYYNtWGb/I9ZzzBx+tl7XssSvozEo6W4EQK66xcqXy2KEDu7OUwMQukV3ct383B9lG7t3G9L8+RmNRoi1djVMpT3h4qbiVy1msuNMFBG4VK8ePQ16eErPr8K5flmHPHuW5E2LFobGvOEr0cnID7dypXHA7dKiaWLFVcbihVoXWa/U82fNJQAn6NVlKejPIssyr617lYu5Fov2juaXdLXU1TLdRLywrR48eJSoqCoPBQPfu3Zk2bRrxdvqrFxYWUlhYEvORVZx7ZjQaMboh+FDdx4IFFqZOhalTlX+MwMxTbLlCuc25Lu46tLLW5ePpTYpYyTMVuGWs7kAdR30Zjy20v/+OBjAPGcLO8zsB6BjWsUpjtjVfbbNmaNauxXz4MBY3fA6aDRsY++9KDp68Cr9PpnDLMC8iAzyr/BmHhWmtYsV85oxLY2wI57cytOvXowFMPXogVzIPV+YrRUaiAyxnzmCu5ueza5cE6GjXzoIsm+3HQSckoM/IQNbpMLVoYTdg2t9f2V9qqozRaLtBkNbXFw2KZaUhn19nSUuDY8eU39ArrijCaHRdsIR663j9hra88NtBLDLIFnh1VBtCvXX18jOs7Pt8R/s7eHXdq5xIP8Hjyx/nxWtexNfDl0f+eoRZu2cB8Hzv58ECRkv9nZ8z1LlY6d69O99++y0tW7bkwoULvP766/Ts2ZMDBw4QYsMkP336dF555ZUKy1esWIG3t/vU8YULu2jZE45u7cq+fXrGs4klrZT3YoriWLZsmcv71BqVf7TsgqwqbV+TrFStF/UMyWRiyB9/4AFsCA5mW8I2APJO5LEsqeqfYen5NjeZaAckrl/PTjeclz5/riAQ2JvdlVHyTnZvLKLyFmj2yc5uYxUrZ7ZvZ28Vxlhfz29laAsKGLZTEahrjEbynZy7M/MNOHWKvkDR8eP8Vc3zvnBha6AVgYFnWLZsj931Gm3bxtVAdlQUf69ebXe9pCRvYCAXL5rt/lZ0SEsjHqXOSkM9v66wa1c4Wr8riGiewprNuwg0VG0/PsAzbXQ88sLVmDK80XZZzbKL/7p1rO7G0fkdGTSSOflz+Hj7x3y982uiPaM5nHcYCYm7G99NxPkIlp2vX9cblTwXXJiS7Gzf61oiNzeXZs2a8fTTT/P4449XeN+WZSU6OpqUlBT8/auf3240Glm5ciUpUSk8tOIh7mo7hRYJ0wj56n9MuPk7JBkSHjlDI1/Xu77+Ht+em+8+QqgUxPmpF6o9VnegznfgwIHo9TVXdbGqSOvXoxswADk0lFMHNhM/swVaSUv6U+l46jxd3p+t+UqLF6O75RYsXbtiVrOOqkpGBrpGjZBkmW7RiWw6Xv0YmI8/1nDwidl8xT1Yhg3DvHix09vW9/NbGdLff6MbPBi5SRNMx49Xmq3l0nwvXkTfpAmyJGHKyVFS9qrI6NFa/vhDw4wZZh56yH7/GM20aWhffhnLuHGY5861u15mJkTEm9AF5fLvRgNNG1X8rmv+7//QvvkmJ4YPJ+Lnnxvk+XWFO14+zybjfiSN0rbi9RvaMubKJlXalyxDQICOggKJw4eNNHUtubPWcOb7LMsyiw4v4tX1r3IwRQlEN2gNfHvDt4xqPao2h+syWVlZhIaGkpmZWen1u84tK+Xx8fGhQ4cOHLUTP2AwGDAYKkpqvV7v1n9WLw8vCkwFfPrv2/x+a2/Or1X6KnT3bkGToKr9g+hlpZhRgVxU735Y3P35uY0/lU6h0rBh7E9Xeu20CWuDn1c1SuxTbr5t2wKgOXwYjUajVEmtKrt2gSxzjGbE94iozvXPSmQkrC62rGiSktBUYaf19vxWRnHVYql3b/QeHk5v5tR8IyPBwwOpqAh9SgrEOF+RujSyDLuLTWddumjR6x18f4qbMWo6d3Z4HledSKDx5H1IGhjyqZ0eQ0FBgOIGarDn10kSM/PZbNpfppXBi78dol+biCrHgoWFKa2h0tP1tGzpxsHWAJWd37EdxjKm/Rh+OfALi/5bxJTuU+gZ3bMWR1g1XPnO1osA29IUFhZy6NAhIiOdrw5bE4wJ7MWU8OsBuGPRBL4OU4LwRrYbXeV96szK3VGhLOqsOM2SJcrjyJHsTlKuCJ0j3FzYqHVrJbMiO7skU6OqbNyoPNCLq65yw9hQsoEu25L7NVFfRUWjKSl3f/hwlXdz5AicO6cUfqz0nDuRCZSYmc9zi/ZV3mNIzQa6DAJsTya70MrAScLDlcfk5GoMrB6hkTSMbT+Wn27+qUEIFVepc7Hy5JNPsm7dOk6ePMnWrVu5+eabycrKYuLEiXU6LmnVKt55+Hd6nIGMwky2FxeaHNn1tirv08Oi3BkaJRNmi9kdw7y0OXJE+dPrYdAgdiXuAtycCQSKJUW9GK5dW719FbuRNtGzZsTKxYtK9dPLgby8kmKANSFWoKTPUDVEqlp1oVcv8HJ0k5+bW1Ip2YFYcZReW4ZisaK/DFKXpVwnWxm4gJp0evFiNQYmqDXqXKycPXuWcePG0apVK0aPHo2Hhwdbtmwh1k6Dr1pDr8ejbQd+XuJJaHE161izH+3Dq97xVUeJ37lAdF6unD/+UB779AF//5qzrKjHAFi3rur7MJmwbNkKwGapF13cpKnCw+Ei4ZjRKHn0l8uv619/KYIlNtY9nZZtccUVyqMbxMqAAZWsuG+f4jNq1Ej5s4PT6bWXkWXl+D61lYHyWiNRrXIAcOlZVi516jxm5aeffqrrIdhEHjcO7riDJhYL83f8wu1rHuKx3s9Uq7COXi4RK/mmfHw8qtHc4nJAFSsjR5Kal0pCZgIAV0Rc4f5jqWLln38UQaCpgo7fsAFNbg5pBKFp37ZavUtKExICklbLBXMjokhUXEF17CatFX5V2ipw001uaYNgE9XCUUWxYjLBmjXK80rFihMuIIDIAC+mj+7AMwv2gyQjYadOz2VUFG7rVqWVwbi+IbS8cjW3DOtHTGj14taEZaVhUedipd6j0dD/qrGcv2pstXclaQzozWDUYrc8sqCYjIySeIURI9iTtAeA+KB4AjwD3H88tZtverrS5EW943aFH34A4Fduolt39xktNRrlhzUxKVIRK5dDYbjCwpJ4pZtuqrnjqMLh0CHlmDaC9x2xYwdkZSmxrpVa0pwUKwBju8Ww588w3v8qj9GDvBnbzYYF4TJyA21VDJZc282An59MZIDrmYDlEZaVhkWdu4EuJyw6D7yKa+Dkiyq2jlm4ULltbdcO4uNrLl5FRaeD3r2V51VxBRUWwoIFAMxjvNviVVTKxK1cDmJl1SpFBURFwdVX19xxoqMVpWEyKYLFRVQXUP/+TiSRuSBWANrFe1F4JoSkE3ZcHZeJG6igoKTo71VXua/ShrCsNCyEWKlFZJ0er+JilMKyUgnff6883qYENNdovIpKdeJWli+HjAx2+7Vja0w74tu79/yGh8N5opQXl4NYUV1Ao0dXzSXnLJJUIh7UK6KTJGbms2RbClq//MpdQNnZsH278txJJRsXpzyePq0ca9PxlLIZQapYKSi4pIOu9+xRCv2GhZV8Ju5AWFYaFsINVItY9MKy4hRnzpRk5dSmWOnbV3lct871uJV585jfcSDPDp5CuGY79/wO03XOt56vDNWykugXwsmLhTTNzK9WcGG9xmiE335TntekC0ilUyfl++ZC3Mr87QlMXbgPS1to3BqM0R0AB+d69WplXs2aQYsWTh1DzTFI8U+g15v7sMhKYKm15opfqZiN7GylMdEliOoC6t7dvaFLqmVFiJWGgbCs1CbCsuIcP/ygZE307QsxMeQW5XI4RamDUWNuIIArrwQfH6UJyYEDzm+XnU3img1MHfwwcnEah93aGFWkUSPY3rE5vSbPZrxvT3q9uYb52xPcsu96x9q1yjkIC6u5lOXSuBhkm5iZrwiVYo+EpIEPNlRyrouLGzJ0qNPDiooCj8B8AgeWHKvM98pgQFZjbDIznd5vQ6O4dBHdu7t3v6pl5eJF5edGUL8RYqUWkYVlpXJkGb77Tnl+++0AHEo5hIxMI59GVWpz4DR6PfQsLqbkSr2VxYs56R2CpZwlprpFq0rjHZrP/sFB1mO4WwzVK1QX0KhR1asm7Cyl05eduGo5XQdFRZZB7e8zbJjTw9JqIaplrrU4nM1jqSXKixu6XmoUFJTovEpdbS6iWlYKCyEnx737FrgfIVZqE72wrFTK7t1w8KBi0r75ZgDOZinVg2MDa6H2TmlXkLP88ANN089T/grmztbzGv9cyhffcKcYqjcUFSnB1VA7LiBQ2i3odIo15+zZSld3ug6KyoEDyn49PUu+X04SHVhJMbRisSJlZ7u034bCihWKkGjSxOlQH6fx8QG1960Isq3/CLFSi8gewrJSKWpg7fXXQ4CSonwu6xwAjf0a1/zx1SDb1auVOIDKOH4cVq0iMjsVzV8RICtXMa1kpzZGFWkV5f4KnvWS335TgggiI6Ffv9o5psGgtFwAp1xBkQFe3NelA7JFOdeays61ahro16+SErcVaRalFEOTsPO9Ui0rGRku7behUJxgx0031UyctYhbaTgIsVKb6D2EZcURJhPMm6c8nzDBuvh8ttIPp1bESvfuSgBkRgbMmOF4XVmGKVPAbGZzwGBO/tuVB2P68eM9V7Ph2X5uC64FaB3rRfpf7dEUt2nQuqGCZ73k88+Vx7vvrlYXZJdxsZLtqTUxnPu8H+0uXM3Gys616gJyIV5FJS5OKYbWO93290qOiFCeXKgfXdzdSWEh/P678rzYyOp2SsetCOo3QqzUIpKHXlhWHLFqlfKjGxoKgwdbF5/LViwrUX5RNT8GnQ5ef115/t57jm+5Fi+GZcuQ9XomZX6IJMGEm7zo0SzE7SIiPByy/41l5ucf8OO8qWzoWOBWMVQvOHxYKQer0ShipTZxIcg2L0/R1OZsL56YUMm5zsqCDRuU51UUKwBJJ+x8r4rFinQJNrhcvVqJG46MLAklczfCstJwEGKlFpEMwrLiEDWw9tZby9xVq2KlsX8tWFZAuY3r3FlxA02fbnOVxMRUNr3xKYl+Iezo9xRHaEXPntZrh9tR7wDPZ8fS48w+Ig/vq5kD1SVffKE8Dh8OMbUsxFyotbJggaJBmjZ1IgRl9WrFYtiiBTRv7vKw1PTl06dtv2+1rCQlubzv+kxiZj6zflNq2NRkqR1hWWk4iDortYjkoUfGABRyMefSjN6vMtnZsGiR8ryUCwhK3EC1YlkB5Zdx+nQYMgQ++wwefbTMxXP+9gSm/vovlgGPobnOQqMTbQClfllNoddDcDDsS+ugLNi/v+YOVhfk58OcOcrzyZNr//iqWDl2TOmO7KCx09dfK4933unERbQaLiAoWxjOZumfKOV/4lKyrFhr2ARB48kQ1rGSGjbVQFhWGg7CslKLrAsJZnG7IQB8vfHwpVsnoyosXKhcsFq2hG7dyrxVqwG2KoMGKbfNhYVKXErxr1liUhpTF/yLpTjg0SJpON/0MN6tztN7YM1ayxo1gn0Ui5V9l5hl5ZdflL5McXFlXIC1Rni4cuGX5RK3jQ2OHIH16xXRMGlSJfvMz1dcheBSynJpGjdWjlVUZDss5VKzrNiqYTP3QM2l6IuS+w0HIVZqicTMfL4JCQGUIk4Wii7dOhlVQc0CmjChTJnK3KJcMguVgle15gYCZQyqC+i33yA6msQ77+ePiU9hKVdGU9JA2I27uXVezRZqCw8vJVaOHVMuhpcKM2cqj/feWzu1VWxxww3KoxrkbYNvvlEehwxR0mkdMncupKQoAuy666o0JL2+5DinTtlYQbWsXCJixVYNG0sNpuiLkvsNByFWaomTKbnIkoSEBwAyhZdmnYyqcO6c4tsHa3l9FdUF5KP3wc+jei3hXebqq5XOv926Mb/VtfQKHcYbnUfbLRxW04XaGjWCCzQizydU8QkcPFgjx6l19uyBLVuU4OY776y7cajfPdXKV47s7BIX0F13VbIvs1kJ0AZ47DFlblVEdQXZEitWy0piovKdaMAkZuaTmlNYoaR+TaboCzdQw0GIlVqiaagPkiyjsYqVokuzTkZVmDdPEQC9eytRi6UoHVwrubMxiLOMGEHiirVMHfpISYVaB+OoSQHaqBGARGLoJeYKUgNrR49WJ1k39OihRLTm5CgitRzvvw/phfk065FC12srEaS//65Yv4KCqi3AHAbZqtlAJhOkplbrOHXJ/O0J9HpzDQ//uAfZUnI/4O56ReURAbYNByFWaonIAC8e9JTRWJQsF1kqujTrZFQFNQuoXGAt1HKNFTucTM3D1j1r4c7mtVqoTf1hPenTXnlyKYiV7OwSF+D999ftWDQaGD9eef7DD2XeSk2Fj5Ym0HjyGkzXbqXve5W4/N55R3m8/37w9a3WsBxZVtDrKSwunkgDDbItH6eCBMgwuWNnt9crKk9py4roD1S/EWKlFhkR7s3zfys/zFc387306mRUhQMHlIuuhweMGVPhbTW4ttYygVB+PDcdT7G6c2yVV5eQSN4ag3ZXBzRSzVStLY9qdDikvYQsKz/8oFgyWrUqqR5cl6iuoD//VMrvF/N/b+bj02eftU+PQ5ffxo2webPynX744WoPqbL05YKgIOVJYmK1j1UX2IpTkTTQp7uhxm/mVLFSVHTJtle6ZBBipRbxDPUlMicXUAJsBSiF4EApRa7+6JbC6gaqJcuKao4eP2urtbNxZIAX00d3QCuVlFc3b2mPOduLZ2+JYeOzNVO1tjyqWNltukTEiiyXVKydPNmhe602SMzMZ5NnIxKv6g1Go7XW+7lz8N3iShoKqsgyvPGG8vyOO9xSeMehZQUoCA5WntQzy0p50W8PWzcDGmrHRe7tXZKlLuJW6jeizkot4hniU1LBVhSFU1izRnm0ky1RmzVWypuj1bvna1uGMbZbDNe2DONUSh4/zfLmo3VeNG4MEyeCweBVK+48VaxsyW6nPElKUrJNQkNr/Ng1wtatSsVYT0/lwl6HWGt7yKDp9wzTC7wY+8MPcO+9vPYa5F3wIVgGSl1Ubbr8Zs5UrDI6HTzxhFvGVrrWiixX1HT10bJS5vOUYProDnaFvHoz8OyC/ciSDLLEtJtqz0UeHg4nTypxK1Wo2yeoJYRlpRbxDvOxVrDNKxJiBZMJ1q5Vnvfvb3OV2qxea8scXfruOTLAC4+MED59V/kR/fRTpQdebaHGrJxI9kNWA5EbcnE41apy661Kxbs6ooJIReK5wQ+RuPsA/9/eecdHXd9//Pm9y7pMssiCkLBkhY2CuKIyBJWqRdTWUasWK1VrawW1rVotarVLq1Rrtb+60BbrQoaCIipDhuwdCIEECGSRXJLL3ff3x+e+t+9yl9xK+DwfjzzucvPzue96fd5z73++459vGYlJb+S6wYNs1jWPLr9Nm0TmD8BTT9mbI3aS3r2FQDEaxerf1WJhs6xEiVjxJvp9WVgKWgqpeLGUqjfH8+S5pVx3dvhc5DIjqGsgLSthJKmn3bLSKMWKOLnX10OPHvZGci6EM8BWM0c7ChbH1XNrq0jsMJth1ix7WY5wkZcnYkBbWqBlYAkJZWXCFdRuzfcopKkJ3nlH3P/JTyI6FI8iVafnYI98vnvyD+T95HoUHbyzGx6YOojhvXpQlJXoLFTq6+Haa8VOcsUVdtESBOLiRDmVI0fglZXlvLzZbrF4fMYQhmmWlShxA/kS/Z6sJQ0NwrDW1mDgxu8buC7Mx5XMCOoaSMtKGNGn2i0rxlZZX8XmArrwQo+FwFRVDasbyDU2xXX1/NRTsGULZGbCc8+FfDhuJCTYM7urunr68ooVwlRQWCg6XUcQTzETegWUxB48ffEsp6Dap5fsdhcqtbXCOrRvn5jPa68FPf5m0CDQpxh5aZOzxeLh93dwJN3qH4wSy4rn39NzDEplnZEfPVBNebWRPn3gz38OzxgdsdbV4/Dh8H+3xH+kZSWcGAzEy5gVO5pY8eICqm6qptUsApHzUvLCMiTH2BTHi9KGDfC734nXPPec3XQcboYMgf37YXdcCUXQdcXKxx+L2+nTIx5Yq4nUBxdtw6yq6BWF304fxtzFT2LR1Ti91s1C8M03cP31IqAkLg7efjskLq3x42H13kZcs2stKpSnaF0uo8Oy4un39JQlt3B9OXP/uxU1VfQAunV4Camp7u6fyjojZdWNFGclkZUY/EvWwIHidvfuoH+0JIhIsRJOdDqUNgNgpNl8houV1lZ7DxYvYkWzqmQnZhOnjwvXyMhLcw6YrasTFn6TCa66SiyiI8XgwaJe2frmEqaAiFkxmyNXor4jqKpdrFx+eWTHYsVVpP7tDwZWl2XTy/IZjmYCPSpFVWXwxfsiRflf/xK/f9++8NZbcPbZIRnfhAnQ9tckcAny1SnQI8O6r1ZWeo7AjQDeRL+GFtdiK61i7QF0e12202tdA3UfnzEE7y0mO8ZZZ4nbXbuC/MGSoCLdQGFGUYUptEVtRj2TqxCtWyfiFrKzYehQjy8JZ3CtN1QVbrsNDhwQWRmvvBLZa8GQIeL286MDIS1N1Cj55pvIDagjbN0qbO4Gg0hZjxLy0gxM6JeJvsXAH/8I5gYD1/Ydjt56SdVbzPz+k7+Sd944UW//n/8UQuX660X8VYiECgjLirnBwMklznV9Hp8xhMRsa1E4kymqqthqv6enOJXth3wHs4PnQN2H399BbUtwx5nZ20h8YTX7K41dvWNBt0ZaVsKMTk0CTqKi0mpuJT4mjOkk0YSjC8jL1T8i3ZZdeOEFUW4jNhYWLvRYCiasDB4sbrfvjhGBnK+/Du+9J1oVdBU0q8rFFwvBEmX86U8inGbcOHjqJ4X8vD6bg/srKVq5mDy1ClJTYfRoIU4uvlh06A6xgs3MFBaA3VsKefG32fQbISwWWYkxLD62BTUzE+XkSWFdifJU9iM1Rh57qgW1AKfaNa5xLZ6bGsKJ5uD91prlJvd6UC2wYFkJP50qi3VGI9KyEmYUxd6Mz9h2BruCNLHiY2UdzuBaT+zcCffdJ+4//XRIF85+o4mVqio4Pflq8c+iRV2rVniUuYAcOXUKnn9e3H/4YaFB8tIMTBjdl7xfzBER1nV1sHKliLieMiVsprYJE8Ttzg0eLBZ51piuKAmydUVLt/77qv2c99QKyntvBuweLU9xLR6LxSmQnRCcfd3VcqPo4JnPQ9eIVNI5pFgJM4o+GcV6cJyxQbZNTXbXhZd4FQh/9VpHLBa44w4RWjNtGtxzT9iH4JGUFOjVS9zfVjBFWCYOHhSdi7sCJ0/at/20aZEdiweee0541oYPjz4tde654taT10/VxEqUBNk64lgVev7iXU5xKgrwtxs89wDylJ33+Iwh9AiSMdqj5YbQNSKVdA7pBgoz5vhkDCZoijuDLSsbNwoVkJ/vs2SkrcZKBGJWXn5ZxP8mJYmipFEQs2hj8GCoqIDtZYmMnzpVuIHeew9GjYr00NpnyRKhBIcPF2m+UURDA/zlL+L+Qw+JmjbRhGZZWbtW1FOMcTx7a2X9o8yy4tak0AULkJHkvQeQa6BuVmIMixdvCcrYPNVVUtTwlPmXBE5UHI4vvPACxcXFJCQkMGbMGL788stIDylkmBMcaq2cqZYVLUewpMSnCtAsK+F2Ax09Cr/6lbj/xBNRd021Bdnu2IFITwLhCuoKOKYsRxkvvgg1NSI25JprIj0ad4YMEeEyTU3uGevRalnxZL1wxJ8u5b4CdTuDq+VGtShkHwpfmX9JYERcrCxcuJB7772Xhx56iE2bNnH++edz2WWXUV7uo/16F0Y1OPQHOlMtK3v2iFstZ9ALkQqwveceUZB07Fi45kb/mrGFEy1uZedOhK8iJkZ0r9Z+12hFVWHpUnE/SsSKFktxpMbIX/8qHnvwwejMBNfpRFYQeHAFRWnMiqe4E41Qdyn3h1njClk9t5RfTxzPkQWlHF0dZSsTiY2Ii5U//vGP/PjHP+a2225j8ODB/PnPf6Z37968+OKLkR5aSFCTkqVlRbuoatWYPNBqbuVEk2jWEU7LyrffiuwfvR6unVvOBX9w7sAcDThZVtLT7XE/770XsTH5xeHDIoI1Jkak2kQYx1iK855aQV1mOcnJopVCtKK5gr7+2vlxNUrFSl6agceuKEG1CMWioDDvskFh6VLuL3lpBq6amIm5wUBVvZEV26JrcSIRRDRmpbW1lQ0bNjB37lynxydPnszXrkejlZaWFlpa7In29fX1AJhMJkwmU6fHpH1GMD7LE2qSwWZZaWhuCNn3+Euo5+uJmF27UIC2vn1RvXxveZ0QBnH6ONJi04I2vvbm+8ILekDHldc18uK3zjUe5i3ayoTidPLSEoIylo4iwnxiOXQIamtNpFx5Jfply7AsWoRZS1+yEont6w1l82ZiAHXgQNoURdQFCTL+zreyrtkplkIFMqZso+RgJjpdXCiGFhTOPlsBYvjmGxWTqc02z7bsbPHbHj1KW5QN3rg9nyMLssnt38jnH8XTJ9t+/AS6X4Zqf05JgdxzK4mbuJVbX7cXoJs5pldQvydQoun4DQWBzCuiYqW6uhqz2UxOTo7T4zk5OVRVVXl8z/z583n00UfdHl+2bBmJicELjFq+fHnQPsuRxMbTNsvK6rWrMe2Kjp0wVPN1w2zmin37UIAVFRUYFy/2+LI9jcL6kqZL45NPPgn6MDzNt6kphjffnALoyB+4no0uSQEWFd5ZvJIBaZFPE05Lm0pdXTyvvPIVQzMSmaLToVu3ji//+ldqPQQth237+qD/okUMBY5kZLDBy3YPFu3Nd2+dgkV19vUoOpW0XltYvDh6O9o1NsagKNM4cEDhzTc/o0cPsXD7ct8+JgGWI0dY/PHHURMRbrHAo49ejLkhhUkj9rN9/X62B+Fzg70/17ZA/HkxtlxqiwoP/W87pvItQcs+6gzRcPyGgqYm/zOvoiIbSHE5sFRVdXtMY968edznsHqsr6+nd+/eTJ48mdTU1E6PxWQysXz5ciZNmkRsbGynP8+V3e9ss1lWhgwfwrShoU3fNFvMrD68mg/3fMiRhiPUNtdS11JHekI6fdL60CulF/qjeu7+3t0Y4sPgOz5wAF1bG2p8PKU33eQ15SKuLA72Qk6PHKYFMcXV1/b9+991tLToGTRI5Vd3jmHxH1c5BQfqFLh2WmnELSsAw4fr+fJLyMw8j0t+MBH1s89Q3niD85ctw3z33bbXhXp/DgT9f/4DQN6llwZ1mzri73wr65p5Yafz9lUt8KvZwxhSHPnt64v587UuC5cyaVIry5cvZ+L3vw8/+Ql6k4lpEyaEpD9RR/jf/xSOHImhRw+VZ589i5QU33Fq7RGq/XnNgVOw8Vunx1QU+o0czznFkfsto+n4DQWaZ8QfIipWsrKy0Ov1blaU48ePu1lbNOLj44mPd5e6sbGxQd2Ywf48jbj0FAy14r5JNYVsB6xvqefRzx/lzW1vUnXas5XKkT/+7Y9MHzidH4/6MRcVXRSSMQFQVgaAMmAAsR62o4bR2jspLSEtJL+R6/ZVVfjHP8T9n/xEoTA7xWMztsKsFC+fGF6GDoUvv4S9e2OIjQUeewwWLkS3bBm6b76BCy5wen2o9ueA2LEDAP2IEehDPJb25luYFeu0fVWLQsb+YYwYKLavY/O8aMsOufZaIVbeeCOGG28Uais2JUXEL9XUEFtdDV7On+FEVeGZZ8T9u+5SyMiI3vNz/9xUFHBqFKlXFPrlpEb+uCFKjt8QEMicIipW4uLiGDNmDMuXL+cqLQUTYfKaMWNGBEcWOmLTkzGIuNGQZQPtO7WPGW/PYMcJcXHokdCDqwddzcjckaQb0kmNT+WU8RQHaw+y68QuPtn9CTXNNby+5XVe3/I6U/tP5clLnmRE7ojgD86P4FoQYgsgNb7z1jJ/WLcOvvsO4uPhppvEY+01Y4skWkaQ9fovGunddhssWCCKhKxaFTWuAED00NEGO2xYZMdiRdu+s37cxNfLErnrYbF9XZvnzb+6JCoCQTVuugl+8xtRBPrQIfvjlX0HU3aigeJ9h8nz0m8rnHz+uTiuEhLAwdgXleSlGbi+fwlv7NmGovPeKVoSOSLuBrrvvvu48cYbGTt2LBMmTOCll16ivLyc2bNnR3poISEuPbR1VpbtX8as/8yitrmW/JR8Xpj2ApcNuMxr12KTycSHH39IxvAMFu5YyD82/YMl+5awdN9S7j7nbp6d/Cx6XRDzOAMUKynx4bFk/OVlI/GFjcwoTSIjw36Ccu3AHC1oGUE7dzo8+PDD8NproprdkiVw2WWRGJpnDhyA5mZRcbe4ONKjsZGsM7D2QwPmVrjySs/N8x5ctI0LBmZHzX7Qp49IAFuxAl56vZWefRVeXl3GM5fMxaLo0H3Txvz88ogLrOeeE7c//jH07BnRofjFjy4s5On7sknKaWLHukQK0qNje0sEEU9dnjVrFn/+85957LHHGDlyJKtWrWLx4sX06dMn0kMLCQmZ9jorTUEWK18e+pLL3riM2uZaxvcaz7e3f8uMQTO8ChUNvaJnYu+JvHj5i+y8ayezhs5CReUva//CNe9cQ5MpiOWnA7WsxIXesvLaqnK+ylhB7vVrWZcbPSnKvtAsK/v2QWOj9cGCArjrLnH/oYeENSNa2LZN3A4ZElVFTJYvF8WU+/cXZX88FTFz7QYcDdxyCyQPL+cd4+c8v0PP00v3YrF2BbSg8OCiyPa4aWuDTz8V93/0o4gNIyCKi0HXbKB+n0hjlkQXERcrAD/96U85ePAgLS0tbNiwgQtc/O3difgMu2XldEvwTiZtljbuWnwXFtXCNYOv4fObPycvJS/gz+mf0Z+3v/82/5n5H+L18by/+30u+b9LqG6qDs5A/RQrDS0NQOjdQJV1Rh5dvNXW/VWFiJ/o/SE/X6ywzWbh8bExd64oc7ppE7YqZ9GAJlaixAWk8cEH4vbKK4XXzFMRM3+qrIabcy81kjFlq70ToAuRFljffivaF6Snw8iRERtGQMTEQL9+4v6uXZEdi8SdqBArZxKG7GSbZaWuKXgXxAXfLmDr8a1kGDL4++V/Jz6mc/l21wy5hk9v+pT0hHTWVKzhsjcuw2TuZJq10QhaZeJ2qteGyw1UVt2IayJypE/0/qAoMHmyuL9smcMTWVnwhz+I+w89JEwv0UCUihXtt9OaFnpqnheNsQvHmhptAtsTeoWICCytIvD7y8W5rbQ0qgxp7TJokLi1xYJFK6oqFiTvvgvPPgu//jWsXx/pUYUUKVbCjD7VbllpMAZHrJxoPMGvV/4agMdLHyczMTMon3te4XmsvnU16QnpfHv0Wx5f9XjnPnDfPnGQpadDpu8x1reGJ8C2OCsJV7USjStpT0yZIm61CvY2br8dLrkEjEb0P/mJKHYRaaxipbL/0KhpX3DypL3gq2NBXa0EezRVWXWlOCvJm1EFvcXM7yeEP8bGsSLwW6dXkDy8nEsuCesQOs3ZZ4tbJ2tltNHSAtddB6NHi9SwX/4SHn9cDL60FD75RJxnuxlSrISbJHvMSrDEykMrHqK2uZaRuSO5Y8wd4kGTCTZsgOrOuW+GZA/hxemi9cETXz7B2oq1Hf8wRxdQO5kq4XID9Uw2cPpzeznwaF1Je+Lii0WZmp07RSV7G4oi8rCTktB9+SXFISiqFxAtLbBnDwuHT2LiWkvUtC/Ybq1O1qcPJCc7Pxeq5nnBIi/NwO+vLhFtixHeoHmXDeKtzf/H6gW3MstYFtbxuHVXVkRF4OHjIy9KA0ETVytXRlfIl426Opg6Fd55B2JjYeJEuP56mDlT+LE+/xymTYPZs7udYJFiJdwk2S0rjc2ddzVsPbaVf2wUBUKem/IX9G+9DVdfLSwXY8eK4IaZM0V2SAePvlnDZnH9sOsxq2ZufO9GGlsb23+TJ/yMVwEHN1BcaN1AO3bAyXWF1PyrlNdvjd6VtCeadUZGTK5Gn2J0dgUBFBXBU08BMOTf/3ZRM2Fmzx4qDWnMm/IztyybSFpYNFN/FGT5dojrzy7kttyLqHpzPOb3SvnRhH5M6NODvIaTsGVLWMfiKTBZ0ano06LbnerK6NEi5Ku2VnhZoopjx+DCC4UgSUkRFpTVq+HNN4V4OXAA7r1XLFZeekl0ZO1GgkWKlXDjYFlpaj7d6Y97e9vbqKjMOGsG5728FH74Q9HQrqFBLBdNJtGZ77LLhN8ggPLGjvxt2t8oSClg76m9PPjZgx0bbAfESqgtK1r32rFDDZw3MHpX0q5oJvdTI9ZSMHsFr3/twUpx551YJk4kprkZ/S9/Gf5BamzbRll6PhaXasWRjg3SLCtdVawA3HN7HImnkzi8J5F//QsYPhyAyh37w+pu89hdWe0a7lRHYmLgoovE/RUrIjoUd+6/XxSDysmBL77AzcfWuzf86U/wz3+K/597Dn71q24jWKRYCTcJCcS3iaPa2NJ5sfLBHpHOMLM2H37/e/Hg/feLYKu6Oti8GX72M0hKgs8+gxkzRKBrgKQb0nnlylcAWLBhAScaTwQ+2ADESkNreNxAmljRutl2BVxN7ooODmRuo+KUy3bV6TD/9a9YdDp0770nVmKRYNs2imuOonM5aUY6Nqg7iJWEBLjqqr2AOPzbhgwX7raBPwiru801MFm1KFyZ3zXcqa5oGuCzzyI7DicOH4a33hL3P/gARo3y/tpbboG//13cf+YZ+NvfQj68cCDFSrhRFGIsIlOnuZP1Sw7UHGDb8W3oFT2XzRVCggcegKefFi4gnQ5GjBAprEuXCsHy6afCTdTcHPD3Te43mbH5Y2k1t/LyxpcDH3AUW1a6kljxZnJ/6ZNK95V0SQkHrrhC3J8zp0NCtdNs20Zew0nmZ1RHVZZNdxArAFOmHKJnT5WDB+GlLQOFu02ruRJGd9uscYUsvrOU42+P58iCUn51Tddwp7qiiZUvvxThVtGA7rnnRPGa0lJ7FLAv7rhDXAdAFIvsZOxiNCDFSgSIsYgTdEtb58TKB7uFVeWCCj0Zda1wxRV264orEyfC4sWQmCjiV267LeDvUxSFn539MwBe/PZF2ixt/r/51Cn7AeOhK7Ar4UhdPnUKdu8W98ePD9nXBB1PJndVhf/butPjSnr3ddeh5ucLn7Y1jiWsWDOBZp1TFDVZNtXVcNzaXFkrsNdViY83c999ItL2mbf1EXW37dpkwHgok355Bnr1CstXBp0hQ4SnpTXGyKuLI5+5FnP6NDqtcdn99/v/xvvuE0Vu6urg0UdDMrZwIsVKBIhRhFhptXTuIHh/9/sAXLm1VZxx33jDaxdjQDS3+/BD8Zo33hDBWQFy7dBryU7MpqK+gvd3ve//G7V6H/n57qkXLpjMJprbhOUnlJaVNWvE7YABojxJV8HV5A725CpPK+k2gwGz1lHuySehqv3GlkGjrc3WvJJBg6Iiy6ayzsh/VonA5KIiYXDs6txxh4WsLCjfnoROdU5VD6e7TXOdXHxxWL4uJCgKDL2inILZK3hybeQz14qWLUM5fVrUKJo61f836vXwxz+K+y++6NKbo+shxUoEiFHEiaNV7bhYOWU8xZeHvgTgyt3AvHkiQrw9Lr5YNOsA+MUvAq7BkRCTwO2jbwfguXXP+f9G7QJZUNDuS7V4FQhtNlBXdAFpaLVAHp7ubhYwqyofb3F2CanXXCPMRy0t8Pzz4RvoiRPC7KPXQ3a2GEsE4/20wOQn14nA5Lzzor+1gj8kJ4tEEHODgamry9BbROZfuN1t334rbrtyEfLKOiMHMu1VrSOaudbSQr8PPxT3f/nLwJuTlpaKOEWzWby/CyPFSgSI04mlXCsdd4h+svcTzKqZYcegb1sKXHON/29+7DFxdlu3DmXhwoC/+85xd6JX9Hxx6Au2Htvq35tOWANyrRcsX2guoISYBGL1oWuL/vXX4vbcc0P2FSElL83A9OF57lkYwOMfC5fQuxsqxAOKYjchv/ACnO58cLdfWKuutWX25NHH9fTtK7KqP/ooPF/vNBQPgcmV+dHfWsFf7rpLrFeqv85l9YJbRc2VMLvb9opYX1sl2K5INFW1VhYuJKGmBrWgQNRT6QhPPy3SnBYvFs2wuihSrESAuBirWFE6LlZsLqDdwKxZIhbFX3JzRQ8ZQP/rX6MLMIqsV2ovrhp8FQDPr/Nzld4BsRJKF5DZLNrXQ9e0rGhoLiFFq2fqcJa1qPDw+zuo1TbvjBkiXqimBl59NSzjUyuFRW3L8VweeUR4hMrLRXjVzJuNLNkUvpgAT4HJqhL9rRX8pUcPuPNO2MJw8hpOMv7Lj8hL6VzbjUCorQ0oLC1qiab+UDqrqrfcdhvE+W5I65WBA+GnPxX3o6lfWIBIsRIB4uNEzIZJ39qh97e0tbBk3xIAZuwGbr018A+57z7o3RulvNxuZgyAn44VO/9/d/4Xi9q+K6mt6gSVKZnM3zGA4ecYKSwUK0GTh3ZD4aheu2ePMC4kJXX9bJBZ4wr54PZSalcOdmtsZ1HhRLP1Qb1ebHcQvuy2AAKkO8iGj4VYqSKXSy6B118X1uiUEeWsy1nB7IXhiwnwdBHSdZHWCv5y771wOK4/RhJQmppEUHWY0MLScnL880hHK9oCAFVbAEQoc01VUayBdapW/KWjzJ4tbpcsEX0muiBSrESABGuGi1lnxmwJvKrs6vLVNLQ2kNcAY5MHdiyVxWCAJ54AoO/HHwdc3fa8wvNIjkvmpPEkW461Xy3z2V3JTJz9Kn+/eCR1F66gJr2cF14QrS1cDTvhqF578KA4EfXr17UarXmjpJ+B8fl5uOpGnQLZCQ7mhJtvFtHEBw/CokUhHVNLC3z+thArOSPy+PRT+MEP4L6HjWRODX9MgHYR0jnUAnn08q5ZC8QbeXlw449i2EqJeGDtWltzwVD/vppYGTAgpF8TFmaNK+Tp80upenM8jW+VcvXICGSuHTyIUlWFJSYGdfTozn3W4MGiNktbmygS2gWRYiUCGBLTbPeNbYGfQDZUbgDg/EOg+9GtgQddacyahZqeTkJNDcoXXwT01lh9LBf0EVF0nx3wXT3p3Y+NLBg+1pZSqegg67JtGDKN/O9/7mVfwuEGKi8Xv1lRUci+Iuz8+AYDp5Y69zm6f/IATjQrVNZZf+DERGHSAtGdOYTRrs89B/E1ImalZFKu7fFIxgTMGlfIMxeKi5B+cSk3TuyatUB8cf/9sBKRjvPPJXtszQVDbcHSxEpXdgE5cs1lBnq0ZlJ92BCZUI+vvgKgtl8/sbj0gV+C9IYbxO2bbwZrhGFFipUIkJjkIFZMgYuVbftEZGjJCQVuuqnjA4mLw2INzNV1IND2kmJRPemzMu9i5dQpuO83jaguKdUqKk+/0ITBIOK+fvhD+3PhqF576JC47dMnZF8Rdq64AvSHCjmyoJQHxo3nV5edxR+W7eX5HXouenaV/UJ1113C//3ttyFLZ9x2wMj8V6pJSBHCM67QLlY8lma3KBSkhccdU7nfQMvhTIb17T4WFUf69YOmC6ZSmZLJ43ljw9aPSQuu7Q6WFRAW12uvFfe14rFhxZoBcOqss9yeUlUhDqur4e115f4J0uuuEwvbVasi2yusg0ixEgFi05KJs4YLdMSysvWwsKwMyykRdt9OoM6aBYCyaFHA5Ro1sbLq0Cpaze7xN6oqXKWVe5PQWdxrP1wzJZHFi8VJ4b//hbXWhs7hKAh36FD3s6wkJIhYa3ODgVWLE3nqk12eL1TZ2fYynf/7X9DHsXB9OZf/fQUpM9by+9nfZ+HwSSKo24qn0uw1X5zFn15uDEuwbXepXOuLsXefy470fmEtENfdLCtgN0a8916H26p1HKtl5ZSHqoVz5wpRmNvXyAP/2eqfIO3Vy55THhH11TmkWIkAsWn2zsuBWlbaLG3sNB0FoGTwhZ0ei3reeRgzM1Hq6kTwVQCU5JSQlZhFo6mR9UfWuz3/9dewaImR+KxGfvXV6x5rP1x0Edx4o3j9734nbm1uoLhQuoHEbXeyrID9t1zylXvmi9OF6nvfE7fvB1DYrx0q64x8+N0R5i3aagv0VXU65k2Zw0eWTKcTqFYn5q3bxzOp51n0uHAX79WFJ9hWEytDhoT0ayLKlCviqGro73GREKqA4u5mWQE45xwoLobGxjCn29fXw1ZRFuKUSx7422/bK+nHpDfaYr80fArSLuwKkmIlAsSlO3ReDlCs7Du1jxadhcRWKB43ufOD0es5MnGiuB/gDqxTdJQWlQLOriDNf/rU+/spmL2C7GvX8vTEH/KrL17jrR+UuNV+ePBBUVT3449h48bwZAN1R8sKiK4KxcXQcDTJNTHI+UKl9Qtatw6OHu3092rF1n721mY3kWTR6ZmzyegmRPLSDBRlJbLi5K6wBttqLRa6s1iJiwPd8AuYv/Q5m2AJZYG4ujp7dYIubVnZtElkzK1aJbJxFOE9gTAbI9asAVVF7duXlvR028Nbt9prej7wAOxeH2CG2zXXQGys6N6sqfYughQrESA+M9lmWalrDOykvLVM+EqGngDd2ecEZTwVmmnwww+hocH3i11wjVvRLlo3vLyWLYrDRUin4+kLb6God5bbyXLAAPsJ4dfzjeytFk1bQiVWWlt1VFWJI7y7WVYUaxiTucFATnmJ7USmU3C+UOXl2bPIPvigU9/pWmzNG56EiKfaJ6F0VbS12XsCddXeNf4y6J4pzNqynC8W3MY/rxoW0gJx3SJt+dNP4fzz4U9/ggsvhDFj4N//5vrrxA66eLGoJRMWrPEqqkOmZ00NXHWVcEdNmiSSOfv0dM9wK6oeRm6qF0GamWkv2f/OOyGdQrCRYiUCxGXYLSunGgITK9u2CVFQ0pjsscBaR9IU6/r1Q+3fX3TkDdAtcElfIVa+OfwN+6tPOl+0XBS/Wafn4En3cVXWGbn8x9Wknr2fbcUr+GyXiH7dcrglJCmX1dXiQE5MFMdud0NzBa1fWMjCH17AnCFmPv/FBe4XqhkzxG0n41Y8CQ5vuAqRcNc+caz+35X6QXWEkd8rYn/sIHo3HEf3xoaQpmh3+XiVRYtg+nTh7xkyRGTfbNoEN91EyfuPM3QotLaGPNvfjjVeRXUorz1/PuzfLxZYb71lL7kwa1whX80t5cHx46l6uZSV/yjkn//08dmaVfXLL0M0+NAgxUoE0KfYY1ZqAhQrWys2AlCS6n5WcLRqBOT7VxQsmmnj7bcDGk+/9H70Tu2NyWLig50rfF609KrF7SKkjXnesrWkXyQsMRZFXMw+29EQkpTL48fFGIqKOp71Hc306yfcQRYLrPgokQFpKnlpCe4v1OJWVqwQPvIO4rELtAXmFiW0GzPhKdj2vPjQ1T7RWlT17Nk96uv4QlHgxBixim5a9ElIv0uLV+mSYuW992DmTKFGrrlG+KIPHxb91gCeeIKfTtkPhMkVZDbbuqxarJYVVbWXR3nmGdER2nEhl5dm4I7vZfLYXHHcPPusj6oEWsnutWvDUhgyWEixEgmS7JaVmtMBWlaMBwEYVnS27THHwMaOpilarrxS3Fm1KqACcYqi2Kwr++rWeOxTA6C3mPl9+Qqni5Cb+8BWMV6MWacmdmgu7XHihBhDfv/wFMuKBFpG+7//rfN+0ho0SJTiNpkCDq52xJPgiN9SwuysGuYvfQ696jtmQgu2vbn3eI4sKGXdB9l8vS8028XaqsgxOalb0+cnQqyUHFnC0SOhq6nTpQvCPfqoUPa33AILF0J8vDC5PvGE8Le0tHDLt3MAlRUrwtC0fOtWUV47NdWWsrZli2hVkZAATbneF6V33gkpPY0caKzm/WVejp8hQ8RnNzXZgni7AlKsRIJke8xKbQAxK02mJvbFNQJQMnYa4DuwMSDff0mJaG7Y0BBw4JUWt7K+8ks3/+nt4wbxVlo5qxfcyizdcaf3eXMfaJYVBftFLZhxDMePJ5I8vJy9g8JTLCsSzJwpzrnbtyuUlfmI/dGsK510BWmCY7xRCI7J/QuhspJZW5az+tB/eOv28T5jJvLSDNz3w0xSBp7AeOkKbviH2C5//2J/UAWldqE5U8RK3qwLaFES6E0F3/wjdAGVXdYN9N134i8uTrSgcDS3KYroUB4XR+KqJTww4D0sFnj33RCPSeuwOn68bTzvvy8u1aXTjTzysfdF6Se7y8m4ZQW516/l3hVezms6nT1eTWs93wWQYiUSOFhW6pv8Pwnv2P45qgLZjZAz/tL2AxtVhTS9n75/vd6+A2sHi5+cXSCsPNuOb2Pm2F48WCIqhCYsK+Wha/oxoe4QeQ0nnWJsKuuMnDzd4m6JUcGCECWaZQWCm3J5tDaGjCn29NqItoAPEenpoBnLPv+8t/cXamJl8WLPjZoCIC/NwJblmZgbDKKMi1UZ5GWnMqFfZruunSaMpF3iXIZ//ie7gioozzSxgsHAoX6imq1l0f9C9jVdNm353/8Wt1deKQ4aVwYOFGk3wEMn7iGJ06HP+t28Wdyebbeef/CBOCjGlXoPSNeuB7ZYQQXmeTuvabEwAZ7rI4kUK5EgyR6zUm/0/wK5baMw1Q9rTKKyTcdHW456FSqqReHkkmH8+HoDLmED3tF8mQGq7b7pfYnTx2FsM3Ko9hBfLhUVQq+41Hpxcum47GgNUlV73IheUfj+gEGYW8VFM0ZJtD0ezJTL6mYCq03QRdFcQV980cu7Z++ccyAtTeSebtvWqe87elQUxFUUkUxhUwZ+Fi4sq250C8rWCJagPOPECmC5SlSpHrLj3ZB0V6ivt2dYdSnLSlsbvPGGuK9FpXti3jwqh4xia2o6P0p5iTVrhEsmZGjNJ60/5rFjiWzZoqDXw6zp3jtCe7JUW7yd1zp4ro8kUqxEAgfLyumm036/TUtbjk8uYeKTK3ji4124NlnRAX+7YRQvXFYKBwpZsyaADLUOqu0YXQwDMwcCsO34ThYvFo9ffrn1BQ5ixdUapAKKKsa8em4pT9zYF2JF+vTvL7ykXfdBRzh1KN2t4V+kWsCHkilTID1dpa4ugXXrvKgAnQ7GjhX317sX9guElSvF7ahRkJFBwMrAYxl+B4IhKAPUT92Conu/h4kYhrZtoWzJ7qB/vuYC6tlThEJ0GT79VOwQWVn2dF4PLNx2golXPMYN18/n49kDSB5eHmgeQmBoSqi4GIC1a8Xxc8EFMKTIOT7McSHnrY1FYYaH89o554hVxYEDcOxYqGYSVKRYiQQOlhVjo/9ZGFsbxFlhfcxYp6BUbbWkVxTmX1PC9OH5TC818KtficfnzfOzkr7mBtq3z75U8pPBWaIk9Gebd1JdLRbrWq05R7HiUf0DGUnx5KUZsOiaQS9+nK2rc/xyHwSCyQQnK9I5tdQeWxPKYlmRJDYWJk3SakT4UAGauXnduk5934oV4lar5B9oNKsWqIvqeazBEJRnWoAtQEJ+BpsyLgXgxIvBD7josvEq//d/4vb660XMigdsiyuryc+i05E5ZStvvBcil7HZbC+vbRUra9YIZa15bB2rPzsu5DwFup9cOoxt6zyc19LS7P0muoh1RYqVSBAXR3yb2KGam/0UKxYL22JrAIi1FDk9pSjw6+mD3SwQ990H+flw8KCIE2uXHj3sZT2tqXP+oomVDYd3AOL6FxtrfdJBrHhS/44XIa2JIcCyj5IDGoM/HDkCFouCaXdvvvyV+wHf3Zg6VZiQlizxcaiPGyduO2lZ0cTKxRdbH+iAz2XWuEJuSBExT71PDvK4guwMZ6IbCODYBTMByFkVfLEScLzK3/4m9rn58wNeFAWNujqRsgw+m8F6TALQwb6qps56TT1TUSHcU7GxkJ/P8eOwc6coBqWJFRDCxNNCzqmNRXMpp7cU4rVHbRdzBUmxEgkUhTiLUPLNrf65gU5uW0dlsjhq4nG+sOoUhWnD89x23KQkePxxcf/xx0UH5HbpoCtoSLYQOfvrRRdfp1Lm1dXiNjvbTf27XoS0vkC0JPPdZl3Qm4NqZfZ794aCdM8HfHdiyhQVRVH57juFI0e8vEgTK9u3i6JYHaCmRohisO5CZrP9QhSgz2XK+SLmaf/H/fjygeAKyjNVrPS8Q7iCiuq2YNm1J6ifHZBlZcECmDNHdPx+8EFRRvjGG4V4CCf/+Q80N8PgwaJSrRc8Fi20WGirTbTVPQkqmguoTx/Q6/n4YwVVVRg92kKhn7u/JmRmThfnNc0964YmVrpIkG1ExUpRURGKojj9zZ07N5JDChtxqhArrQ6WBF9sWy8CQYqa4nnq6nNspnJFVZjvY8V5000iK7m2VpQNaJcOipXB2cKyckLdCah2sdLaaj8RWQNsvZkxwS5W4lTh/P7444CG0S6HRHFciopCV3MimsjOhgEDhEXuE291wQoKhKAwm0XVzg6gra7z8qxxCydPis9TFI+Vln0xbhzExAiXTUtN8ATl6dPiD848sTLqkgw+119CZUomn7z4SVAz37Tra9++7bzwzTfhpz8V93/wAxE3YTLB66/bMm7ChtaV8Ac/8FkZ0m1xZTEzf+lzDGrY35nSRN5xiVf58ktxiZ46NfDz1cSJ4jg6eNBLQLB2rv/2W3GejnIibll57LHHqKystP09/PDDkR5SWIgnHoBWs38r2b0V3wEwSMmij7mQihdLOfnueBbd6nvFqdcLayvAq6/6kZ2qqe316wNKZR2YORCdoqMtphaSq+xiRbOq6PXCzWTFmxlTa2KYliDEyocf+j0Ev9AsK/6uUroDY8aIADqvwk9ROu0K2mNdrA8caH1AM2FkZ4szZgAkJsLo0eK+tep4UNDiCBMTRUmhM4m4OHh70k1MnP0qdxn6B7W2kGZA8ykAlywRKydVhbvuEinDa9bYd8qXXrKn7IaDjaISOOef3+5LnRZX+99m1pblzGIh69YJTR5UXMTK9u3ifDVyZOBiJTkZxpxvJL6wmv8t9SBOBw4UkfDNzaLWTJQTcbGSkpJCbm6u7S/5DDmLxCmi/HmDvsmvVc6hU2InLkoq4P33RaO6K8dnMuqs9lecU6eKa0ZNDXz+eTsvdtyBAzh5JMQkUJxmXVpl72TwYOsTWrxKZqbIPGkHzbLSs4fohrZqFf6nXvtBebnWwPDMsKyAXax8+qmPQOsOihWtF9XmPWIftsUtdDKSVQvODqZY0YaUl9c92yz4orLOyIoRaVisx2AwawtpYqVnTx8vuv9+YWn74Q/hr3+1b4Bp02DWLCFi7r3XR434IFJdbQ9iHTnSr7fYFlfXiBTHG+MWoqoqy5cHeWwOYsVsht2HhdjIKTIG3Pdt4fpyjp0tCsT9pcyDOFWUDtfWigSBLXlCwFNPPcXvfvc7evfuzcyZM7n//vuJ8xKZDdDS0kKLwxm33trTxGQyYepkUSvtcxxvQ8XOngOACirTWpj45AoenzGEmWO8t4E9ZBRn2l4ZxfxnkQooTJrUhsnk38F95ZV6XnlFx7vvmrnoIvvV39N89ePHo1u8GPPq1Vj8PJgB8mIHsZ99pBTvIDX1fEwmUCoriQHUrCza/PhNTzWJwJqeaSkcMKicPq2wY4eJs87yexg+OXhQnKwLCtowmYKogqIUk8lE37515OSoHDumsHJlG5dc4r7PKKNGie20fr1f2wng3Q0VPPz+DhGAqELy8BL69SvAZLKgVFQQA1hyczF34Fg65xwFiGH1ahWTyf/+Jb6O34oK8Zk5ORZMJv9bSkQz/p6v9lXVu1Y5wKyq7D9WT1Zixy8DbW1Q12oivrAJU2w8JpOHHlRbtxK7bRtqXBxtzz4rRItj4Z8nniDm/fdRvviCtoULUa+5xuv3BeP8rKxfL/b1/v1pMxgCK4Y4dSoxCQkUNe9lFJtYvHgk11wTvH1Jf+AAOqCtd2/++mEZWT/agaKDm/8rnlcRHdTbu15U1jUzb9FW+zZXYN6irUwoTnfqE6YbOxb94sVYNmzo0HHaWQLZjhEVK/fccw+jR48mPT2ddevWMW/ePMrKyvjHP/7h9T3z58/n0UcfdXt82bJlJCYGr07G8qBLZju1LbC48BxgJSpNWFR46H/bMZVvoUe85/cctIi4g5rqBDZvtsarKMtZvNg/X2OvXtnAubzzjompU5e6NXFznO+A9HSGAJWLFrGhXUe0HePhTEiA2IKNLLYWWylYtYqxQLVOx9daARYfrKkWWUjG2iYKC2vYvTuDf/7zOy680Ft0aGDs2nUpkMTx4+tYvNifiOOuj04Hw4aVc+xYH1588SAtLe5l12MbGpgGKPv2sXzhQkwpKT4/s7YFHtmoR9WquCmQMWUbVXUVLF58gv6rVjEUqDCZ2OTHdnfFaIwHprJ9O7zzzjKSkwNruObp+F2xohgYjqpWsXhx5zKfoo32zle1LaDgsL0ABZX9m9dwcmfHv/ezg7Hkz1ZRdHD1qyqz+lqYkOMsiwb/+98MBKpGjWKdl8yTs2bMYNDChbTefTef6XRY4r2cCK105vzcf9EihgJHcnPZ0IF9s885F9BUVsnFNUv450dD+PjjpUGz1E3etQsD8OHh4/y1doeteKXjL+rP9WJvnYJFdT7JW1R4Z/FKBqTZPy2/qYlxQM369azuwG/RWZqa/K+bFHSx8sgjj3gUE46sX7+esWPH8vOf/9z22PDhw0lPT+f73/8+Tz31FJmZmR7fO2/ePO677z7b//X19fTu3ZvJkyeTGoSKRCaTieXLlzNp0iRibbm3wWXNgVMom3cBYFZEjIaKQr+R4zmnOMP9DbW13LtSqPfEHrMA4cO84YZL/f7OSy+Fv/xFpbY2gR49pnP++WKH9TRfJSEB3niDgqoqcqZN8/s7Fqw5BfyLhN5lTLO+T2etxph51lm2x3yx45sdUAEDCgeQfHEau3cDjGLatBF+j8MbZjOcOiV2+WuuGUtxccQNiyFH27633prLZ5/Bzp39mDatj8fXqo88grJ/P5MzMlAnTfL5uWsOnELd+K3TY4pOZWxpP6aVjkNnzWMuGDOGvAD2IUcef1xl/36FtLQpTJninwXR1/G7Zo04848cmePXvtgVCOR8FVtYwYPv7QBFBIr+7tIiZpYO9vkeX1TWNXPvN6scLqgK75Tp+enVF9hX76pKzD33AJB9zz3ef/eLLkL96isSKyqYVl2N5fbbPb4sGOdn/euvA5A3bVrA+8G7Gyq4evzPsIxXUCwWTEuP06vXNEZ0/vQELS3EWlM2s0qnwXv7vL7U5/UCsW1e2LnKKe1aAa6dVurcgT0vD555hoyTJyNyTNQH0O096GfrOXPmcN111/l8TVFRkcfHx1v9Z/v27fMqVuLj44n3oLpjY2ODKi6C/XmO9M9NJcYiVq4WRWwsvaLQLyfV43eaD5VRYdVh2zaVADB1qhLQ+GJjRfuL//s/eP/9GHstDNvzDvMdNgwApayMWFX1WjDJldNlQ2EwnE7YZf8s68Gny8lB58d4G9tEwHFaQhqjxoqVwaZNemJj9b7e5hfHjoElwUhiwWni0hKIje2+KcuuTJmiQ6+HvXsVjh2LpZcnC/K4cbB/PzGbNolYAh/0z01Fp+B0MlQtCuePtO7D1mhWfUEB+g4eRxMnwv79sHZtjL0asp94On618Kn8/ODsT9GEP+erG8YX8817uYx984dMrv2CvMF/gNjhHf7Oiro6N9eSRYUjda0UZlktc19/LVLwkpOJ+d73HIovuZCWBj/7GTzwAPpFi9BrWUNe6NT52RqLpx83LqB9s7LOKNyeVuuUqtORMWUr7y/PZuzYIJxLtHiVpCT6n9Ub1H1e20/4ul4AFGbFMv/qEh5ctA2zqqJaFIqqh9m3i4Y1uFA5cYLYxkanJIhwEMg2DHqAbVZWFoMGDfL5l5Dgwa8JbLKmTeZ181rYeWkGft1cAYCFBhTF4rPgVeXO9bTpIcaisHqJ+G2mTAnsOyvrjJRcWo0+xciiT4x8tddHoFZ+vijSYjYH1ATjyGax49dbqqgxCreVa1+g9tACbFPjU23lDzZuDE6Q7RvflFMwewXZs9Zx8Z9XdbtOy75ITRUp7ABr13p5kVbJ1o8gW0/VMnUbhtGnp3UfDkJd+2AH2Z6pNVYcGT/cwP7DI0Rj0fff79RnFWcluV1L3aoMa13/rroKDO1c0L//fXH7+ef280awqauzF4YZNSqgt3oqEKfoYPk3Qeop5hBcm9cjkdjNJagWq8sf5x5q/hRI1LKYHj5XdELf9kGh+3k0JcV+jGr1B6KUiGUDffPNN/zpT39i8+bNlJWV8c477/CTn/yEK6+8ksIzIK/01thmcUdRmTtmpM/040MHNwOQb0rixDE9SUn2FHl/0BoHPr99LQWzV6C7agU/eEV0sn13Q4X7GxTFnoOq5aS2g9EIB/ekQJ1Ysu+stjrCAxQrWgXb1PhUhgyB+HjRKG3/fr/e7pXKOiMLNjh39O1unZbbQwv891qcWMsI8rPsvnYyvLFAnAwHxjjsw0FQBppYWbu20w2hAedsoDOVkhL4ANGOW122TBy4HSQvzcClafYLqttF1GSyNya74Yb2P7BvX5GzbjZ3Wkh5Rctw7NNHZCgGgOfeOyqbvkykwb9yWb5xECvNzVD2WSFHFpRyc28dX/zyAr6ee3HABRLz0gzcfFkmCRYDJ0966VWqpfD5ea6PFBETK/Hx8SxcuJCLLrqIIUOG8Jvf/Ibbb7+dt956K1JDCiuxSan0sJ4njh33XWvlUJVoPpbenAVAaanfnhm3xoGKzq7QLSo8/P4Oaj2ls2rpN7v9a3y2e7fIOoypE9aVnSc6JlY0y0pKfAqxsdh8wVpZhI5SVt3oMRuiu3Va9sXgMSINcvVGLxeoUaPEzlFZ6Xdzs7w0A60VmZgbDPYaKxAUsTJ4sLAINTXBrl0d/phgDqnLM2gQbNeP4BCFKEajyGfvBD1PiwvqBKOHi+hnn4njPzvboWFUO2jWlZCUh8V+ItEK+QSApwJxM7/YSGutgc8+C8LYHMTKrl1Cs6XGJDCqoJW8tASvtanaIzZWNEEEe0sMJ7QDV1pWPDN69GjWrFlDbW0tRqORXbt28cgjjwQ1oyeqSUoiy3qdLDvmu7LQoTqru6JGnAgCcQF57G3hgEWFE80eHKMBWlZ2iJZA9ERUg9txwvpAJ9xAYK+EvWGDX2/3il8m627Muxsq+PN+UXPh6JgVvLnGgwssKUn0IQC7qdwPtHOcTayYTPaqxVlZHR6zTmdv27CzExkrINyImv46k8VKXBwMHqLYrCt88EGnPu/ECVHzaUiWh4uo1pr42mu9x6q4oqUtf/aZn/1BAqQTYgUcCsSVwOoFt/KLPcLN9cUXQRibg1jZulXcHTZMDUqmkVb7zqOHV1pWJD5xECuHT1b7fGl5i6i6dPyw2Kn8FSuVdUZOnm5xN106oFMgO8GDmgnQsqKJlb6pVstKR91ALXY3ENjPKZ0VK3lpBs7R2U3WOoVu2WnZE7Ut2OuhIKxrD7/vxQWmnbgCWGVp5zhbQTjHCP+0tMAH7IBWXLCzlhWt+j+0U7zsDGD4cLsriA8/7FRAmM+CcF9+KW6vvNL/Dxw4UAywra3TQsojnRQrYC0QN3U8eQ0nya3dTTqnvMeBBYKDWNHcNUOHBqdI3nBrHPWWLR6eDHBhGimkWIkUyclkWq8VlXU+xEp9PYfixQtP1YyguNi/hmFanMrP3tqMqtpdPwrYkvZ1KDw+Y4jnXP0Ad+DNe4SLYWCeKBO95+QeLVdYvCBQN1CciFp3DLLtbHHL9Bphsh5Slc/nv7ig23ZaduVEs+JmXbN4c4FpisNPy4rFYn+pzbJSWytuk5MDLrXvyqBB4razlhXNBZSV5f8iv7tSUgJfcCFNsanC3ORnjJInvIqVkyfBWrbAFgvlL6FyBTU22lVvJ8QKIOJdrDv8eNawcWMQ2ut4FCud/EwrWnD9rl0exum4QAlHBeEOIsVKpMjKsllWqpt8iJX9+zlkXZy21A7iwgvbLxXuGqeiAooKf7thFF/Pu5hxVRdT9eZ4vp9Q6r0KonblqapyXil7YOH6crYVCxfD0hrhXjjacBS1utq+8/sZzObqBho6VJiua2sDSkzySHW1MFn3jtc71xro5mQnqO7WNdWLC0xTwn5aVg4fFiX8Y2NFzCJgdwEFIQ0yWJaVHWVCTPcsOnMCqr0xfDiYiGN1grWWTifiVryKlW+tNXj694f09MA+VBMry5cHtxvzli1CXeflBccXaM1yuCTha1paOtlep6HB3mjIxQ0UDHr3FkbOtjYPxvJ+/cRFpb7evkGjEClWIkV+vk2s1LZ6Fyvqnj0c6mH9p66Prc+gLzzFqViAjKR48tIMXHS2gZbDmWxZ48MFkppqP6B9WFc0YaQFhOhUUaTI2GakttK6ssrI8HuF7ZgNBEKoaCbMzrqCtJ6KqaneGuR0T3rEi/LcjmnG+o1eXGABWla0XaNfP+xVkTXLSiddQGC3rOze3XFvxcL15cz9WojpxouD18Cvq6IdTx+eLhV3Vq7s8Gd5FStacESgVhUQCnXIEGECCGZV1SC4gJyYMIHKlEx69q9An2LsnCtIW4llZlJnSeHwYfHvkCHBESuKYreuuLmCEhLsnV2jOMhWipVI4SBWTPrjXo0XNfu20qhl/tT1tqWf+sJTip1jMKkmeNasaecCoFlXfMStuAojHfHoVOHCOXLU+j4/gywtqsUWs5ISby9eFKwgW02spKREfzv0YDNzTC9Wzy3l5etFmvGBTwttv4cTjpYVP0zCbsG1YBcrQbCsFBcLwWo02nvPBYImph17pJxpKeuu5OeL9cNnqlWsfP21jw6X3mluxpayG1SxAqL7KtjjXoKBtY5XoPVVvLEwu4SJs1/l19NnUjB7Be9v7YQIdnABbbd2w+jVK3CjlC80saJZbZzoAnErUqxEiqwssprFzx+feJQjXlrfHCoXe1bS6SSS4g1++TDdUuxc6h+UlIj6THV17ZjXtSBbHzuwxywbq3XlaK314PVzhd3Y2ohqvaxolhUIXpDtmSxWQOwXk0ZkMqBA7AceV4J9+4plWEODXyZhbddwEiua6T4IlpWYGLuxpyNxK56sjGdayror2ip7J4MxpuUI1dEBs4AWOx8bKwyxTnRWrGiFpILZDVjbWbUUs05QWWdk3rpTti7Wig72pnVCBHvMBOr0MJ3wGWTbgcD6cCPFSqTQ6chKELJZn3iMCg+12QAOnRA7T3xdLmefjVsDQm/YUuw8FBGKjbWfQ9au9REA44dlJS/NwOR058JQQ3oWAXCkzjopP3s2aS4gvaLHEGN3UWhixeNB5ieq6ugGOjPFiobP4nCOJmE/XEFumUAQVMsK2F1BHYlbac/KeKYiLlwKu3IvEg90wBXk6AJyiqM7ckTU6tHpOm7F0MTK1q3txsz5jRbw269fpz/KY0kIncqWAx0UwQcPituiIltmZbCCazWkZUXSYTKTrbbTxGrvYuW0tSx/bZFf8SqO+CoiZHcF+dgF/LCsAPQ4JbJsJrYIYTSmlzgZHGm0pmD4ucJ2DK5VHM5+2nF0/HjHz1sNDSK4DM5cy4pGu5VsAwiyDbUbCOxBth2xrGhWRlStbLl/pcq7O9oqe5Wu43Er7carDB0qavd0hLw84QO0WDpk9XHDaMRmvg6gk7w3PIlg1aJw8lAHRbCWrpafz54KEQye3Se4rkrNUlNRATU1Lk9Ky4rEF1lp+QC0JdZ5FiunT1Nu7crcVDfIr3gVf9HEyjffNbO3TqGyrtn9RY5q20f8wuHDIstmVIEQRvkpYl5Hm612Yj8tK47Vax1JTbWfEAOoVeaEZlVJSlKJjw9Co6EujLYfrV1rrz3ihJ9Btm1tduu1Uzp9EN1A0DnLCggrY8KyUqreHM8fLvC/VHl3Rltlv3PCKla++Sbg0vshCa51JJiuIM1ykZoacJl9T9hc7Va3tc5i4dTSYezZ3EERbBUrC2N7s7O/CAZfcMRLO5QOkpZmz9hzs644VrENRiO2ECDFSgTJyhInzRZDE+UVbe4v2LfPlgnUWjeQoiFGvt7vowFhAEyYAMnDy2m6ZCXP79Bz0bMeGvv17Sv8To2NcPSo18/SIte14qcFqQUAHDFZU/H8FCtNJmFCTYx1X50UDxGrjW93dGzumljpREHVbsPQocLb09DgJR3cT8vKsWNC7Oj1Lv12QmRZ6Uz68olykQE3uM+ZbVHRGDoUYlKMbEjMoKKvNfPmm28C+oywiZVgdLLUmotpMVlBYNa4QlZP78lbb87j0//7Jae3FHq3VrbHsWNUpmQy73CCLbNSxUc7lA5QWWek+BzRzNZNrBQViQCx5ma8BlBGGClWIkh6bhGK1WBRVuWhtPS+fbYaKz0LE5nxjxXc8LJoQNjZ9EtzvJHMqe009ouNtZtMfcStuImVFCFWjpqtK2w/xYrRJL7bVawsXF9O1dlitTF/W8fmromVzMzoLXoULmJi7NYKLfPACT8tK9o5LT/fJZYqyJYVzRt54oS9FEUgWCx2s3dGRlCG1OX5eGc5BXeKY+qC7z/FwuGTAnYFeRQrqmqvsRIssbJmjRcTYAAEMV7FkbzRQ5lweCt9j+0hk2rWretgXbVjxyhLz8fVpuG1HUqAaEVCy4pFM9tPdrucQ2Ni7Of6KI1bkWIlgsQU9Cbdqg3Kqz2chR1qrOj7Gm0BXcHoGFxW3YhrGo/HLIl2Aq/MZvtFSxMrmhvoiNWF1RnLimsdF5WOzd0uVgJ6W7dF81/77MLaTvqy5rosKHB5IsiWlaQke8xvR6wr9fX2aQQzFbSr4npMWRSFB6fMofKrbwP6HI9iZf9+oQzj4uy+po5SUiKqIDc0eFHVAeBoWQkmSUk238qI2J3U1HQg7KOlBWpqKK456pZZ6bUdSgB4ama7zeDhHBrlcStSrESS/HyfJfeNe7Zzwhqfpse5XH1n0y/9buzXTo+gY8dE7IJOZ3cFaG6gY3ojbToCFiuOmUDBSj2VYsWZPoOFW23jLg+ir7jYr/RlTaSGWqxA58ruax0fDAbh/jrT8XhM6fQcPFglXL5+4rHtl+YCGjnS/9bw3tDr7QFWnXUFhciyAthSoSf3FjtnwK4g6zGW11zP9X2HOWVWem2HEgAeM5cUlbITgS1MI40UK5HEoTDcaXO123niUIVYTehbE9CT7PRcZ9Mv89IM3DHKj8Z+7ezAmgsoP99epLZnUk/0ih6LAseS8NsdYGxzdwMFK/XUHrMi3UAL15fzRr1wAWzI9+BW8zN92atYCbIbCDoXZCtdQM54PKYsZoqqDwcUzOrRshKseBWNYAXZapaVUIgVa1DV+FSRc7x5c4Dv19qB9+xJXksfjiwoZcBhkVnptR1KAHjLXIoxupxDtWPeW2pqhJFiJZI4iBV9YqVbXFPZCbEaiK0r4IkZw70Weesoc6aJlOOqN8fz3o+8NPbTTIPawe6Ca7wKgE7RkZcizCxHUgncshJrn5cWda9zKBX/m2mBz12LdTjTLSueKrrO8+RW88MkrJ3TermeT0NgWelM+rJmWZEuIIF2TCk236rC72u/Ja/hpN9BtpV1Ro4jgjWdxIpW0n7s2OAMduJEcdsZsWKx2CPJg+0GAptlpZ9J7JweXau+0MRKTg6HDonMypIczyUnOoJrkVBUhVNLh1FV5vL52qrDRzJFJOlcS1RJ58jIsFaxtZCceJCKCod6FdXVlMeKmI8kdQA/mFDIxUOyOVjdRFFWYlB25JQU6J2ZwMGDBqoPt8FADy/SVEhFBU7tm614Eisggmwr6is4kkLgAbYxzop/1rhCLhiYzcjzmjh5KJERNwQ+d5kNJPDYN8rqVnPap/r3Fw3uArWsqKq0rHQBZo0rJI9sJl/ThMGcyLVzrW4SP3wYC9eXM2/RVnSXQsHFsP5kCeOwLnS0imZaIZfOcs454pxz4IBI7+3IaqOyUmS56PV260EwsYqV7BNi7gGLFa3GSm4uhw6Ju7amoEFCO4cerG7iT48l8u4WA1u2wJVXOrwoX8QaRqtYkZaVSKIoZOmEeycxscLZ+rZnD3utx+VZueJM7avIW0fRGmXt2OEl4ly7EjU2eqzI5lWsWONWjgYgVnylLuelGeibnIm5wdChWisyG0jgySSs4MGt5odlxaNYOX3aXqchyJYVfYqRo+Zqyo4FFlwtLSueGTtUpHPXHjVQP8ShUqCPoGpPwZrPfGG1zJ04If4Uxa4uO0tamj0avKPWFc0q3KeP3w1VA8Jq9os/XkEK9VRWBpi15mJZgeCLFbBfP0YPFtcPtzBER7HSoZSm0CLFSoTJiusBQGxipZNYMX63h33WleDFI/q7vzFIaGLFa7B9YqL9LO/Bl+lNrOQnWzOCOukGckQr/9EZsXKmW1ZcTcKqRWFCjAe3Wjs/tqp6cQNpLqC4uKBGs648VE7B7BXkXLeWi/8UWPq6tKx4JjHRHhS/L2mE2F7tpLP4sszZfHRFReLDg8U554hbzcUUKKEMrgUhyvPyqEzJZNzILehTjIFZVxzEila7LhRiRaNfPyH8d550qdmliZWWFrvCjyKkWIkwmUni6qkknnDSAmVLd7PXenLN6JEdsi6xQ4dqYsVHLr92NQpArBQk5QIE5gbyEGDrSDDESkZG9K0Ywo3WN+qqNNGB2bTbR6ySl/Tl2lp7wVPtHAc4u4CCVHyrss7Ig+/ZawIFmr4uLSve0UI49pfH2uNMfLiCfAa8ayueIDQKdGLECHEbcOSqlVClLTuw8PyZTJz9Kvun1FEwewVvrgmgFpTVDdSanmPLsCoqCv4YNQ4oQvhXD3ep2RUfb3ezRaErSIqVCJOVKpY2lsQaJ7Nc3Ybd7M0Um+eZTxqCUgjOE45ixavlTxMrLhHAlXVGKlpFkJ2bWImxdl5OQQTH+IGn1GVHOloGQFXtZtkz3bKikZdmYOpo4VbzuArUTuwNDXal54C2K2RkiJRgGyEIru1s+rq0rHhH28wHDuBH0ygvwblasL8WrxIqsfLddx17f4gtK5V1RuYVTXLqwLz0VAC1oKyWlRN6scBLSQnq4eNEZZ2Rv2/wUQw0iuNWpFiJMFmZQgi0JDawYgV88YWwwlVYyjHpLaDqiVGzg1IIzhODBoFOp1JTo9jivNzQghIcLCtaRcSYyaIi4qY6ZyGVrwiBciRNEZVw/SBUlpW6OnsBzDM9G8gRravr3r1in3MiPh5ycsR9D+W3280ECmJwbWfT16VlxTuBihUQlrk5fUQW4aC9Dr2WQtUuWAvWrajomHsixJaVsupGLK5WRCWAWlBWsXLULI63Pn2CZpR0o13hr53ro7DkvhQrESarZzEAxiRxof7Zz2DZJ2YO9xbBrDFqLgqilnlnC8F5IiEBcnNFgRevflYXN5CnILunPnMWUgUWETh8xD+jCuA7wBbsYuXo0YBqV9kMAykp4hosERQUCE1hNnup+edBpGq0W2MliEtDn6t5P5CWFe94FCtbtrR7gDWfEsG5vTIctkGoLCtpaaJQIaBs2RL4+0NsWSnOSnK7kKoWhT6ZfsbtVFVRmZLJ8oZU9CnGkMartCv8pWVF4o2sAuHbaIhvIz3LxNat8NjthzHrxc4Sq9o7xHW2EJw3CguFMGpXrFivUP6Y5QtM4iRWH69yuvW0X+NoL8A2I8O+OtbOP/4gg2s9oyj2RbDHAGsfq6xwVq8FsZqfO0Ss5gs2BtY5WVpWvOMkVgoKxLFuNsOGDT7f51YQ7tQpewpusDKBHLG6gpRAXUENDfZSuyGyrOSlGZg/qQi9RZhvVQucWjoMtdEPMd3SwsLCcUyc/SovmaoomL0CXf/gu/udxnp1CahCsSi4CH8pViTe6FE4wNbMcN6j4qya3LKbzbli54lVxc4TrEJwnujTpx2x4rLC9scsn9LURrLVtXC0wb8d31sjQ0c6ErcixYp3fPYI8hKrBD76AoWgxopGSX+xmj+6L7BjQFpWvKNdv8vLwWTCb1eQm1jRrCqFhX7HqAWEJlYCtaxoq5qsLL8D/TvCrIuHsPrt+3jrzXkM+yiX01sK/coIqjxQwbwpP3OKd9maEHx3v9NYxxVylV4I/4saXIR/FBeGk2IlwugLepNh3S9zR+5g0FX7KZtt4r2hwudx2aCRvHW7KL0cyGoyEAoLRfE5f91Afpnl6+spsPYxPFLvn/+zvQBb6FjciuwL5B2/LCs+3EDhqF6r4VgNPJAmvNKy4p3cXOEKNputmX1+ihW3vkChilfR6KhYCUMmEACKQl6fPCYc3sqklD3oU4ws2VjdrugoO1BlEyoaKsF397viVfhrlhUZsyJxIy2NeIvoVnj/R2sxDtwFOoU2pRKAL3bog1ax1huaWNmxw17PywntinTqlC1fdda4Qi5pEup8huJBSNXVUWCtIee3ZaWdAFvomFg5eEw07UvpGbrVSlfFp2WlM26gEFhW8vJEEdK2NrwHg7tgMtnDL6RlxR2dzhYO4hy38s03PguDaQsAN7ES7HgVjZEjxe3OnSgmk//vC2VPIFesxeEaCqspmL2C9+rWtpvFWdxcg87lpKsLkbvfESf3nyPSDSTxRmV9MycN4kJvRlzdVSw2saKz5IdcZeflnSY2VuX0aWEOdiMtTbRCB6cLV3W5UOdnFXoQUvX15GuWlYbALCvBFCsL15fzWo1o2rcudwXvbojOJl2RQlsIHzgATa67WWfcQCGwrOj19iF53E89oLmAICT6qVvgdOEaPVpUea2qshdR8oCbazXUYqWoCFJTUVpbSQlk1a9djUNtWQHo35/KlExe7VvsPTXYhbzaY8xf+hx6VQgW1aIw79LQuPsd0bTbwYNC/NvQDuiqqsDMl2FAipUIU1bdiA5xFrUoQqyYOYWqtIKqJ56ckKvsmBiVs84S9z2usBXFo0vAW0E4oHNuIC8BthCYWNGylmwo8PD7O6h1TdM9g+nZU7hHVNVDHJAXN1Bzs71uTTjdQGB3BfkrVjQXUI8eQuxI3HESKwaD3YrhxRWkqh5cq6EqCKehKLYU5lStKaE/hNOy0q8fZen5bmnMPrM4q6qYtWU5Sw4toerN8VS/WsptF4fG3e9IQYHIjGxrc9GkPXsKc5vFYq+sGyVIsRJhirOS0KsizdeiiKt7myJMcDFqT+ZfPSLkKhvsxeH8zQgCP8SK5gY6HbwAW62y45EjLisCD3guDQ4nmkNUxKALoijQv0S4ydZudVn9aWKlrs4plVWzECckeIgDCaEbCAIXK5plRcareMfNJdBO3Epjo70uT1YWYptrO4XWHjsUWEVUmlaT3h/CaVnp14/imqNubh2fWZxWQRCnS7Wlgoeqxoojju4/Tc8BQtHniuJ00eYKkmIlwuSlGSg1i6uuWalDr8Cle98B4ILikpAF1brSbo8glyDb5mZ7kJ03sZIfgGVFVVVbzIqvANucHFFjzmJp/1jylLWkUyA7QZbc11i4vpzj44WbbP42F/96aqo9s8NBpDrGq7idWEPoBoKOW1ZkvIp3AhUrmlUtIcHaAkjrCdSrV2h9bdYg21R/xUpbG7bOgGGyrOQ1nGT+0udETwg8pAa7YhUrVQiBEMoy+654jVuJ0oygkIqVJ554gnPPPZfExER6eDl5lZeXc8UVV5CUlERWVhZ33303ra2toRxW1HF+slDdEw+vZvULP6KgbjMAQ3POCtsY2rWsuLgENM+AweDlQuAgVipPV7b7/c1tzbb7viwrOp1dHLV3wbLVFLCIK6oOhcdnDKGHLAwHOLjJtKQuPPjXPbiCvMargLSsdEG8ipUNGzyUNnaOV1EUQh+vomEVK2llZf51BT58WAiW+HiXBlYhIiUFsrOZtWU5V+/OoerN8VyX1E4Wp1WsHG61V68NF5p+c7KsQNRmBIVUrLS2tjJz5kzuvPNOj8+bzWamT59OY2Mjq1ev5u233+a///0vv/jFL0I5rKgjK7sIgNqYk+TWn2BfkVjN9s8IXbdlVwYNEgf/7t3tZARZr1SOLiCPZsu6OjKt17yTTe33S9fiVcB3zApAfn/htti6r/3snlnjCmlaKLKW/nlVKTPHuAZZnLn41XPHQ0aQ17RlkJaVLojmDqipsYq7vn2FEmlt9dg8MOzxKhrDhqHqdMTX10Nl+wsg21W4uFiscsKBVQFckHyQlsOZHNzRjgvfmta2t0GIlXBaVtoVK2eSZeXRRx/l5z//OSUlJR6fX7ZsGTt27OD1119n1KhRXHrppTz77LO8/PLL1NfXh3JoUcV5M+YQi541veG1T59h7+giAAZkDAjbGPr2hYQMI5bsar7d7kEEuMSsaJZYrwdXfT1Z1mteQ2sDrWbf1jJNrMTqYonRxXh93cL15RweKdwWT+9qv7mjxQInK0TW0qA+oY/96Ur41XPHQ6yS17Tl5mbxB1EjVqRlpX2SkuxhCgcOIFYfPlxBbplAmjk21GLFYICBAwE/662EuMy+R6zfNShWKIB2C8NZLSvbTuQ6vj0sdDWx4v2qEAa++eYbhg0bRr6DiW7KlCm0tLSwYcMGSktL3d7T0tJCi4NpUhM1JpMJUyD5917QPiMYn+UvRen9eaT0MR5a+RB3r3sEk1l8d5/UPiEfh/b5/9l4iJzbdoMCs96AJ743xNkKkZNDLKBWVNBmMrF/vw7QU1hoxmRyN8XE1NXRoxl06LBg4Vj9MXKTc72Oo94otmNibKLXOVfWNbu5LeYt2sqE4nTy0hI8vufUKbBYRCPF1FRTRLZvJPE136zEGB6fMYSH39+BRRVpk7+4eDBZiTG21+tyc9ED5vJyLNbHysv1gI7cXJdtX10t9hFFoS0hwVoSNbjk5QHEcuoU1NSYSE72Pd/qarGfpqV53k+7OsHan4uK9FRV6dizp43hw1V048ah/+gjLF9/jfmnP3V67bFj4jfNyLBgam0jZsMGFMA0fHhItrkjyrBhxOzahWXjRkxTp/p8rW7PHrHvFhXZ9t1QoysqQg/kG0Vq3a5dKo2NbcTFeXhxSwuxVrfppqOiFHBhYRsmk93cGcrzlXCnx3KgqolVuxqs9bwSUHJziQEsR45gDtP1xx8iKlaqqqrI0Tq7WklPTycuLo4qL1Wf5s+fz6OPPur2+LJly0hMDF6K7/Lly4P2Wf4wSB3E4KTB7GwUwWo6dOz8Zid7lQDqyneQ2hZ45MNdNn+OCjz0v+2YyrfY4jvia2uZClBVxScffMDXX48DCmlu3s3ixe5jnFJdTYIKyYqBerWR95a+Rx+Dd4fsgSaxCtKZdSxevNjja/bWKVhU5/xTiwrvLF7JgDTPPuwjR5KAS0lMNLF8uf1zw719I423+SYBvx0F834/huMHMjmVuoHFLfZVa1FNDSOA4xs3ss66XbbtP5v4wljKju1l8eLj9s86coRLgTaDgcVLloRsLomJ02hqiuWNN1bRu7fnvlPafLdtGw305tixXSxeHGC77i5EZ/dnJamE+MJUPvysgsTEQ2QBEwHj55/zqcvxuHbtIOAsGhsP8vk/lzHp1CnMMTF8cvgwqr/V+jrIAIOBIcDxTz9lg5Zi7YWx33xDAbCjuZkDXs4pwab36dOMBlp2rMNgMGE0xvLPf35pK7zpiOHECSYDZn0MO48JP+X+/cs4ftz9Ah6K81VLi47k4SPoMWUrN70GCiqz+lq48mgF5wINu3bxeYh/tya34k7eCVisPPLIIx7FgiPr169n7Nixfn2e4iHgQVVVj48DzJs3j/vuu8/2f319Pb1792by5MmkBqH3g8lkYvny5UyaNInY2NhOf14gDK0ZythXxnK69TTF6cVcOf3KkH+nyWTihf98iorz762i0G/keM4ptjr7LRbU229HMZm4bNQonmkTVpfJkwcybZq7uyrGav3KTe5JfUMZQ8cO5YI+F3gdx5qKNbAH0pPTmTZtmsfXVNY188LOVU5xFjoFrp1W6tWy8tVXYl75+TFMmzYtots3Evg737df1bPkOx0ZGROYNs1ugVDMZnjpJXLMZqZNm8a7GyponrKRXAU+AibkDLdZ4JT16wGIycryug2DQd++MWzbBkVFFzJlirNIdZ3vSy8JcXvuuWcxbdrAkI0pUgRjf353QwVHx+wgdyx8rcLlOcOZdtd5qI88QtLx40wbPdruJwI++URED4wa1YdSa7FIZfRoLpsxo/MTagezxQL//jf5J06Q084+FvPIIwAMnj6dQSHcHx1RevSAv/yFrPp6RozQs2YNpKdfwLRp7osp5dtvATBn5sBxhR49VGbNmuT0mlCeryrrmsn4dpWtgJ2Kwjtlen46fTo8+iipp0+H9DgGAgr3CFiszJkzh+uuu87na4r8jBLKzc1l7dq1To/V1NRgMpncLC4a8fHxxMe7p3PExsYGdWMG+/P84ayeZ/HcZc/xo/d/xLm9zw3b92cnqOgUnESAXlHol5PqPIaCAjh4kNhjxzh0SKQQ9O8fg9sw29ps5VCzkrLZ01BGnanO53xaVRHTkhiX6PV1hVmxzL+6hHmLtmFRVVSLwvyZwyjM8t44TYtZyM5WnD43Ets3krQ330GDYMkS2LdPT2ysg/XKmp6gO3KEY01tPPz+DltAtQr8+v2dlA7OFamZp4WVQ+nRI6S/bZ8+sPOQka/3NzKmKcljWqg2Xy05KSvLw37ajejo/lxZZ+Th93fYXKso1m06t5S8oUNh2zZiN24EByGiBS3n5OiJ2bQJAN3ZZ6MLxw88ZowY5t69xJpM1txpD6iqLWYl5qyzCNvGt1bXVA4fZuQlbaxZE8euXV72PWsOeFNKLhyHfv0Ur9swFOeriro6m1DRsKhwJDmLQkA5eZJYi0VkU4WIQOYUsFjJysoiK0jtaydMmMATTzxBZWUlecIZzbJly4iPj2eMdac807hl5C2M7zWewrTw1FcB6BGPNXZhp00EPPF9D7UBrGKl7WCFLX3Voy51UMtZKT2hCqqbqn2OwZ8mhiCye8YUZDNsfBNttYlMfcj36926w0o8MmiQuN292+UJh/LbZVX1XrOH8tIMIc8E0lD6lVMwZCtvVsLbT8L8q73XI5LZQL7xlRGWN368iBBds8ZJrDgF2C5cJ/45++zwDDg3l5a0NOLr6sTYvH3vqVP285CW7hQOcnJExHJjIxPyDrKAgd6DbK0us1NxYmEejrp1jhRnJYkVh4NRXa8oFBXlCIHS0iKCbMP5+/kgpNlA5eXlbN68mfLycsxmM5s3b2bz5s2ctq7AJk+ezJAhQ7jxxhvZtGkTn332Gb/85S+5/fbbg+LS6aoMyhrks9ZIKJg5phef3VvKsbfGc2RBKRcXeTj5WzND6nYcQRPcHg1g2kkiIYHMJNHprL30ZX+aGGr0zzeQeDoTc4PBV/sSQIoVf9HaLbiJlZ49Ra8YVaXYchpX56xT9lCIa6yAsARsM2z1u/eKzAbyjc+MMC8ZQVpRuOz0Nti4UfwzblyIR2pFUajTVkjffef9dVqKS36+yCIKF4piUx0jktvJCLJmAh1TxUk0nJlAIOpQnZ9QgmqtQ6VXrAXseiRGZUZQSMXKb37zG0aNGsVvf/tbTp8+zahRoxg1ahTfWn11er2ejz/+mISEBCZOnMi1117L9773PZ555plQDkviheIcA3l6IQK0opROWMVK425hVunTx0v5Ak2spKWRaRDFGPy2rLRTY0VDS2FtT6y4tbKXeEQTK2VlLnXAdDrbiSuv7gSX53g4uWkWuDBYVsqqG3H1/nvrvaKq0rLSHlrhRJ0WXG9ReORy6zbVxMr69U69LTTLSq+67aILe2qqLaU4HNT7I1bCWWbfFavq6Mt+21AculXYsVpWylsiI1YApg4s5MiCUnJ2jGf1XIcCdlFYxTakYuW1115DVVW3v4suusj2msLCQj766COampo4efIkzz33nMeYFEl40Fp7eBQr1h247ZAQK75qrACQmkpWonAZnjS2Y1nxoy+QI/7W25CWFf/IzRUFOC0WD3UXHArDpZ0UJ7dzGl1ObhAWy0pxVpJv644DTU32TFppWfHOrHGFrH6glPr/Cavq2VnWbTp4sBAijY0284BjE8Psg1YX0Lhx4Su6BtRpbgl/LCuRUADW70w5tp+ePcVv5vF8al1p7WoUJbkjoav69gVzg4HKzZnObv8zzbIi6Xr4FCtWy4q+0n+xkpkoLCvtiRXNshIqsSItK75RFB+uIIfqxQcOiJPbuD6Z7jFNIe64DMIScP9FduuOztW644BmVYmNFWEEEu/k9zCQHyOsqrZjSqeDCRPE/U8+AUQMtdYNJW2Xg1gJI05uII/ltokKywr79zNsmLjr0RVk/aE3nSx0els40XRfRYV9uwJRWXJfihWJE/5YVgw1Qm37JVYCdQO1E2Cr4a9Y0dxA0rLSPl7FioNlRVuwerwGhCnA9o5LC6n8u2ihsOgW771XHONVwtHJtqvj8ZiaOVPcvvEGqKrNqmIwQMwmkaoetuBaK6d79UKNi4OGBnspbVeiwLLir1g5YC4kNtZL+4oQk5MjtqWq2ns+Alr1RZurKhqQYkXihE+xYq21kNpUBajexYp20XJ0AwUxwBakGygUtGtZOXLE94I1DG4gEPG+uWmihUJzjXdxK+NVAsPjMXXNNRAXJ/r/bNliC67tnWF3DYXbsqLGxNhPVN5cQdFgWTlwgGFDhOXHTaw0NtoilcsppLgY9HrCjqLYrStlZQ5PaJkT1iDgaECKFYkTWgprRYVYuDhhVdsJFiOp1AfkBoqEZcVicfCvSzdQu/iyrFSmZPJlrY6aFiEqPWYzhsENpOHP9peZQIHh8Tft0QMuv1zcf+MN2/F0rmETmM3inOCx/XZoUa0dmD2KlZYWe2vwSFhWCguF8mhuZnSeaLjoJlas8SqtCSnUkRYRTaXh1nUb7Ks7bbUXBUixInEiI8O+n+7a5fKkwYBqXTXnUdm+WHHIBqptrsVsMXv93o4G2FZUiHOmJ0RfIHE/SKWBujXexMpCczYTZ7/KjSXXUTB7BTkTyj0bTzSLWogtK+CfWJGWlcDw+pv+4Afi9q23qD4uDqizFasLaNy4iPjY1OHDxR0PXaE5eFD4NZKTI7NKiY21FVPUGhoeOWIXz4DtRz6VXAgoEdFUGppYkZYVSZdDs7C6iRXAlClcQX1iKz3XWAEny0qGQVwpVFRqmmu8vAGa2gJLXc7LE4uXtjbvblVtUZCREb4Cll2ZAQPEdefUKfs5qrLOyLxtzVis2R6KDhLO91LXJIyWFeu1QFpWgohXsTJtmhCgFRUkrFtFLK1cUPeBeC7M8SoaNrHiybLiGFgVqWAlq/pIqtpv+123bxfH09f7q6k8IAJXj8ZELrhWQ7OSerSsnDjhPYg5zEixInHDV9xKY6pwBQ3NrPKereggVmL1saTFi5W2L1dQoNlAer0IpdCnGPlkQ7XHi6fMBAqMxES7G3DDBnHrqcIpiue6JuEKsAVpWQkFjrWLnK5PCQnw/e8DMPDzl/iQKxh6/HMRPHTFFWEfJziIlYMH7fudRiSDazX69xe3e/bYgmxf/7qciU+u4IaX1zLxYDYLh0+irC3yYsWjZUUTK21tLiahyCHFisQNX2LlVLwQK2elVnr/AAexAvgVZBuoGwggY2w5BbNX8PjXa5n45AoWrne+cslMoMDR+o9a6zZ6rHCq4KGuiclk3+5RIlaO1hqJL6wmrofn6rYSZwoKhCGipcV+7NiwuoKGb3+LKSyjNTYRPvwQNNEQbjIyoLeoT8KWLc7PRTK4VkM7ie7YwejRYlG15ORWm/C3oPDglDmsx1pALoJD9WhZiYuzH8dRErcixYrEjaFDxa21R5kTxxBuoOIEH2LFIRsI8CvINtAA28o6I6f6+S67Li0rgeMqVrQKp3rVutS2wPSeHuqaaJGXOl1YTBntiZV3N1TwecoKcq9fy39a3IWsxJ3YWHt5Dac0VoALL7QF0p4gi//dvRKmTg3vAF0ZNUrcrlrl/PjXX4tbLQgrEgwZIm537GDSJIhJb8S1mqFZp2ebIXIF4TQ0sVJTY/fkAlEXtyLFisSNc84RbpZDh9xPWuUmYVnJ1/nIv3exrGhBtr4KwwWaulxW7eHgdym7Li0rgaOJlfXrRYwiWCuc7n6dt96cx/kLqrhmlIe6JpoyzMoKSw6mJlZOnnQvZV7bglMnYRXf/YMkdryKQJ0O/vQnvsq8kvNYjWVsZGJVnNCaK/773/addfduWLdO7IMOzRfDjrbiO3CA8SOMxLckobqEfugtZk7V5pKX5715dDhwjEP2GGQrLSuSaCU5GUZPFCb0Dz51PsHvaxRiJcsUXDdQoL2B/Cm7LmusBM7IkeI8X1XlXGk7p2cPJhzeSr+Gw55XgWH+sdPSbLuXW3+oE82K107CEt/4DFyeOZPZee+zh7OiI7vu+98XFc00gQLw+uvidsqUyB74OTkisttiIa5sNxedY+DU0hIU61lLbzHz+6XPc7ShKKLxKho+41akZUUSrSxcX87xCcKE/uweZxP6jhohVlKb/BAr1hRWf6rYBhpgm5dm4IYBPprqId1AHSEx0b4o1FxBAPUpojBcb+WI50qbEVCG3qwA2Qmq907CEp+0517TisJlZoZnPD5JTYWrrxb3//UvERWsiZUbb4zcuEAE/2gH0o4dTJ4Mp7cU0mtTKW99fyCrF9zKtVs/5QgFEXUBaXSFwnBSrEicqKwzMm/RVvsDit2EbjLB1hMiZiWhxn/Lij/9gToSYHv9OaKp3ukPxvPlA+5l16UbKHAq64z0nVCNPsXoJFaq9CJeob+hwrOXRxMrXvPZg4+3C2uPePjdlUP86h8kccaXWHFsYhgVlhWAm28Wt2+/DStXiuyglJTIuoA0tLiV7duZMkXcXbvSwIjGWvIaTnI8Jp82Ym2aJpL4KgzXXH6c8nK7py1SxET26yXRhqdUVc2E3qwzcEQVlhVdbY1IG3DtkG0224MIXN1APsRKoAG2YO8YenKngbg29+elGygwFq4vZ96irVh6QMFs+PRACb9DXL0OtRUwCOit89LYLIosKwCT+/fi5gW5xPRoYse6RPrmSqHiD75+04YGexfrqLCsAFx8sQj8PXIEbr9dPKa5hyKNQ5Btv37CelFWBjuWlDMW2G8qJDUVfvzjiI4S8G1ZObrpGP36wKxZQhNGCmlZkTjhK1V17VqoIZ1WJU484akam2ZVAbHCwT83UKABtiBcFppLYu9e9+elG8h/NIuaJlQVHRwt2MbRWrFddjeKH7qnqWuIlfJyIWRTjJlSqASAr99Us6okJkY2INQJvd7u8tGutD/8YeTG44hmMtm+HUXBZl0p+0L8uOUU8stfRofw82VZUa3H9oABYR6UC1KsSJywpapaKz+qFoVBDcPomWzg8ccBFJpShCuISg+uIE2sxMfbrC7tBdi2WdpoNYv+5P4G2GpoB5CrWGlrsxcFk5aV9vFkUVN0Kut2CIvXlpPCDZTccgqMHrJqok6siP1XCxiV+If2m5444b6ZoypexRHNFQRi9XLRRREbihOaZWX/fmhuZvJk8e/RNWKHrTYUcu+9kRmaK5plpbzayFd7rUU2rZaVhDoRs1JSEqnRCaRYkbgxa1whq+eW8vMR4zmyoJS9SwtZuFCUi+7RA5IH+mgf7hKvAu3XWdHiVSAwywp4FyvaKlBRZAVTf/BkUVMtsGF7C5V1RrYdTqMR67Y54sG6EmVi5fBhxek1Ev/o0UNkA4J7llXUxatoDBpkL/v/gx/gvbR2mMnLgx49qExK5+svtzB0rFFU3lbFDjv0skLN+BxxeveGlBHlZN+6gh+8Yi2yWSMWm2kt4tiWYkUSleSlGfjR9ExoMrB/P9x/v3j8/vshppdVrHiyrLgUhAO7G+iU8RSqhygtzQUEkBCTENA4vYmVMJf96PK4WtRQAQX+vX8TE59cQZnuMBVYfW6exIqWMRABseJWHh67gJFiJTAUBXoNFGULNu12Nq1ErVgBeOkluOcemDs30iOxoygsLL2eibNf5YbPTjD1hRWUzCinELFz9rumUPQJioL6PycajWRMcSmyubqKypRMkmkkPa5RuoEk0UtqKoweLe4fPSpOUnffDeT6cANpFy2HrBDNsmJWzdS11Lm9RQuuTYhJQKcEtkt6EysyEyhwNIva89ePQlHsPeAsqmheuKuHtSJoRYXzG1U1IpaV/HyxiDbHu/eHkm6gjrFwfTnGS0XZgrlfOZctiGqxMmIE/PnPYWn14C+VdUbmDZhmawJqUaF2wDbiUxpYOHwSF23Riz5BHlqFhBvPRTZhf3YRAOf2O0ZMhNNxpFiR+MTR/TtvntVEnOfDsqJVEtPqdiNESFJsEuDZFRRojRVHHMWKo9FGBtd2jLw0AxnJcbj1LtSpxF9i/bFdLSuNjfYAhzCKldhYKDhf9Ie667/ipP/uBiGkNBeGtKz4j61sgZfKv1EtVqKQsupGLC5dn1VUyvOymDflZ2jGQE+tQsJNcVYSrge9XlHIbhFplmcXRb6KrRQrEp9MmiRu8/Lgzjux/wOeY1Y8iBVwqLXiIchWi1kJJG1ZQ+sC39DgXBVapi13HE/xKzpFYUR/azCDq1jRfmyDAZKSQj9AK5V1RnTnOJuuH35/B7UtdsuK/ypx2gAAHBFJREFUFCv+46tsAURxgG2UUpyV5HaB1SuAgs3aohHpCst5aQYuTnEvsqkziriVkp6RLwwnxYrEJ5deCn971cizr1dT22pV/r7cQF7EipYRFGzLSkKC/YLk6AqSbqCOo8Wv6BT7iWv+1cPI62U1U7m6gRyVoctKMpR4Ml1bVKg8rdh2TekG8h9vIlWr/CstK4GRl2Zg/sW90VvMgBAqvx8cw5iju9C5NAqKhgrL91whimzWLhrPip+LIpsVLeIEOrBH5C0rsiicxCfvfFvOM7u3YtkFuuUw/+oSZvlyA2mrblfLio9mhh2pseLIgAGi4eLevXDeeeIx6QbqHLPGFXLBwGwOVjdRlJUoqr9WiPRlr5aVMCtDm+na4QKrUyCmOQFVVYiPl9s/EDSROm/RNiyqimpRuOcCe+VfLWhZLgD8Z9akEi64ZQYHY1Ioevdf5O3YDA0nmX94JQ/2uRSzqnpsFRIJhg+H7CQDVXsN7NsKORPhQFMOpUDvuMhbVqRYkXjFtVCY5lu94JbB5IEIpjWbndNt2rGseHIDBdrE0JUBA+DTT50tK9IN1Hny0gzOJ9BeXrKBIvRj56UZmJJRwpKT21B04qT/uxmDOfCpGF9hYVgNPd0CTaReNrOJbWsSyR8ntv/p07Bxo3iNliUs8QNFIa8oj7xvvoFfP2A7VmYln+aCuaXOi4EIoxWu+9e/YOlSUfKhShWJEinGyFtWpBtI4hWvPmwlUezZZrPdka3hLWbFRxXbzriBAPr3F7fSDRRiCqyWlcpKse01ItAXSOPyIcJ0nbphPKvnljJzTC+qq8V+JF1AHSMvzcDYwkzMDQa2bBGPff212ORFRfJ3DZgRI8Tt8uXw3XfifkkJeWkGJvTLjAqhoqFV2V26FL7cYGR7YR8qUzJRjkvLiiSK0XzYjoJFB5xsNlNZOIC8Q3vEhUtTBI2N9jor3gJsPbmBOhFgC57Tl6UbKATk5AgrmtksrGraNo6gGauwUJTVr/rOQF4amEwmTpww2J6TdAzt+qpdWz//XNxeeGFEhtO1efhhEegTGyuik3v1gmnTIj0qj0yaJNahByjnj3u3wvUFTLS8yvyDy5gV4bFJy4rEK66FwhREiMCcNzcxcdYzLBw+yTluRbufmOhUFA5CF2ALdrGyb589fVm6gUKAXm/PBHN0BUVYrIBzeXgpVjrP8OHiVrOsfPGFuJVipQMUFMDvfge/+Q3cdZfoCB0bG+lReSQrC0aeKwrEabFgFp2OB4smR7x4nRQrEp+4FgrTjCwWRceDU+ZQedjBl6m5gAoK3IIFQhlg27evKA7W2CiyqVta7FX/pWUlyGiuIMeMoAiKlR49bP0y2bNH3J44Id1AnUUTK4cOicN63Trxf7S03ZGEjtEXNOJam9Os00U0tRqkWJH4gVYozC1+RafnYFWt/QEv8Srguz+QLcC2g26guDj7hWnvXnu8SkxMVBW07B4UeMgIiqBYURR7BtiSJeK2ulpaVjpLerroF6NPMfLIi9WoBiO9e4uYFUn35orSJFwyq9FbzBSlxUVmQFakWJH4hacaDHqLmaJqh25nXtKWAbIThYkjFG4gcI5b+f3vrWMujp6eZt0GLSPI0bISgb5Ajlx+ubj98EOt8r8UK8Gg14WiOvAy01oKZq/grGnlMrvqDGDaRQaavnAoEGcx8/ulz5PX2hDRcclTucQvXONX9KhiBz560P4iH5aVnkniQnai8QQWF9luC7DtYOoy2MXKs8/Ciy+KFfef/tThj5N4w9WyYjbbq4VFWKx88w3s3g2trSJvoHfviAynW1BZZ+Rogb06sKKDfT0iWxJeEh5iY+H8ApFl1+/QeFb/dy6ztix3LhEeAUIqVp544gnOPfdcEhMT6eHFHq8oitvfggULQjksSQfR4lfeun08q4cZxQ7sWHLfh1jRAmzNqpna5lqn54JpWdm5U9w+8ghMn97hj5N4w7XWyqlT9pbHESptWlgoYiwsFvjHP8QpLTdXJT4+IsPpFpRVN7o9phLZkvCS8HHXXZCsM/CTqzLJS7YGAx+LbPpySFOXW1tbmTlzJhMmTOCVV17x+rpXX32VqVOn2v5PS0sL5bAkncBWKOyEddm6b5/9SR9iJT4mnrT4NOpa6jjeeJwMQ4btuc4G2AJO7cuvvFJkC0pCgGuArbbaysiIaIbDFVeIzJX/+08L8YVN5BcagPD1KepuFGcliYB6hzi1aCgJLwkPl1wCtbXWf/5hrZ8UYctKSMXKo48+CsBrr73m83U9evQgV+s30w4tLS20tLTY/q+3pn2YTCZMJlPHBuqA9hnB+KyuQIfnO3gwMTodSlUVpkOHID+fmKNHUYC2nj1RPXxedlI2dS11HK07Sr+0frbHT7eeBiBOievw7z5yJKSkxFBYCK+80obZ7Fy3TENu307SsyexgHrkCG2trShHjxIDqNnZtEXwN506VeEvHx4ldcpW0nRwUoU31wxh5pheERtTOAjV/pyVGMNjlw/h4fd3CFeQCr/73mCyEmMieuzI4zf86LOy0AHmo0exBHkcgcwrKorCzZkzh9tuu43i4mJ+/OMfc8cdd6DzEhk5f/58mwhyZNmyZSQmBk/1L1++PGif1RXoyHxLe/UitbycjS+9RNW4cUw/fJgY4PM9e2hscA/GimkRu9vS1Utp6GF/vrxSNB3Zs2MPi6sWd2wCwIIFMcTFWfjqKwu1LXCiWSE7QaWHB3eA3L4dQ9fSwhWA0tTEitdfJ2PnTsYBJ2Ni+Gpxx7ddZzllhIwpMfaUSwUe+t92TOVbPG7/7kYo9udUIG7pORyuieUHM8pIOraFxYu3BP17OoI8fsPH0MZG+gMH1qxhR5CP8aYm/92KERcrv/vd77jkkkswGAx89tln/OIXv6C6upqHvdjx582bx3333Wf7v76+nt69ezN58mRSXQqRdQSTycTy5cuZNGkSsVFauCeYdGa++v/+F/79b8YqCpbzziPGavG68PrrRWE4F/75n3+ya88uep/Vm2lj7BUc//B/f4AGGD9mPNMGd76y47sbKnj0/R1YVNHY7vEZ9hW23L6dx3LOOejWruXSo0dtbqGMs85iWgSrcq45cApl87dOj6ko9Bs5nnOKM7y8q+sT6v05I0Pho48Ufv3rEcTHjwj65weKPH7Dj277dvjgA/olJ1MU5GNc84z4Q8Bi5ZFHHvFo2XBk/fr1jB071q/PcxQlI0eOBOCxxx7zKlbi4+OJ9xA5FxsbG9SNGezPi3Y6NN9x4+Df/0a/eTN6rbhJjx7Eeok5yk0Wrr6TzSedvstoFjErqYbUTv/mlXVGHrYKFRCtAn79/k5KB+c69eCQ27cT3HknrF2L/pVX4IYbANDl5aGL4O/ZPzfVVmFZQ68o9Mvp/D7VFQjV/nz++eIP9FTWGSmrbqQ4Kyni/Wzk8RtGbr0VZsxAV1AQ9GM8kDkFLFbmzJnDdddd5/M1RZ2oHDR+/Hjq6+s5duwYORFojCYJAE2QfvutzxorGtlJotbKiaYTTo9rqcudCbDV8Np8sbop4ifYbsO118K998LBg/DWW+KxCPc1yEsz8Mj0En7zoUi31Snw+6uHyW0eJBauL7d1YNcpMP/qEmaNk4Vszghyc8VfhAlYrGRlZZEVwhTFTZs2kZCQ4DXVWRJFjBghqq4dOwbr14vHfIgVrdbK8UbnqPLOVrDVqKwzcvJ0i1vzRZnFEGQMBrjlFvjzn6GsTDwWBU2Ybj6/kNqdGSz5ei9//0N/CrNTIj2kbkFlndEmVEAcWw8u2sYFA7OlGJSEjZDGrJSXl3Pq1CnKy8sxm81s3rwZgP79+5OcnMyHH35IVVUVEyZMwGAwsHLlSh566CHuuOMOj64eSZSRmAhDh8LWraJ8KHRKrHTGsuK48lPAlnapVxS5wg4Fd9whxIpGFIgVgJ/+KJ6inHLyegyL9FC6DdJaKYkGQipWfvOb3/Cvf/3L9v+oUaMAWLlyJRdddBGxsbG88MIL3HfffVgsFvr27ctjjz3GXXfdFcphSYLJmDFCrKxZI/73Q6y4uYHaOlfB1nXlpwI6FZ6/YRSj+6TLE2ooGDxYtODV2vFGiViRBB+t1Ya0VkoiSUgr2L722muoqur2d5G1defUqVPZtGkTDQ0NNDY2snXrVu655x5iYiKepCTxlzFjxK1WPcpXzIq1P5CjZUVV1U5bVjyt/CxARlK8FCqhZPZs+30pVrotbq02pLVSEgGkKpB0DtesLz8sKyebTmK2mNHr9JgsJluvoI6KFbnyixBXXQVnnQWnT8uugd2cWeMKuWBgNgermyjKSpRCRRJ2ZCNDSecYMQL0evv/PsRKZmImCgoqKieNJwF7vAp0PMBWrvwiRHy8yATbvRsSEiI9GkmIyUszMKFfpjyuJBFBWlYkncNgEEG2W6yVLX2IlRhdDBmGDE4aT3K88Tg9k3raxIpO0RGnj+vwMOTKL0IkJ0d6BBKJ5AxAWlYknUeLWwHIy/P5UteMIK3GiiHGgGK1jHQUufKTSCSS7okUK5LOo4mV7GyI820dsWUENYqMoGCkLUskEomkeyPFiqTzXHyxKA43ov3eIVoVW82yonVc7mjaskQikUi6PzJmRdJ5Bg+GnTt9xqto9Ex0dgPtObkHgL7pfUM3PolEIpF0aaRYkQSHgQP9eplrYbgtx0Rg7vCew0MzLolEIpF0eaQbSBJWXN1AW45bxUqOFCsSiUQi8YwUK5Kw4poNZLOsSLEikUgkEi9IsSIJK45i5djpYxxvPI6CwtCeQyM8MolEIpFEK1KsSMKK1h/oRNMJm1VlQOYAmboskUgkEq9IsSIJK5plpba5lm+PfgtIF5BEIpFIfCPFiiSspBvS0Suil9BnZZ8BMhNIIpFIJL6RYkUSVnSKjqzELAC+OvwVIC0rEolEIvGNFCuSsKO5gprbmgEpViQSiUTiGylWJGFHEysAKXEp9OnRJ4KjkUgkEkm0I8WKJOxoheEASnJK0ClyN5RIJBKJd+RVQhJ2tP5AIINrJRKJRNI+UqxIwo6jG0jGq0gkEomkPaRYkYQdKVYkEolEEghSrEjCjmPMyrCewyI4EolEIpF0BaRYkYSdPmki+2dAxgDSEtIiPBqJRCKRRDsxkR6A5MxjZO5IXp3xKiU9SyI9FIlEIpF0AaRYkYQdRVG4ZeQtkR6GRCKRSLoI0g0kkUgkEokkqpFiRSKRSCQSSVQjxYpEIpFIJJKoRooViUQikUgkUY0UKxKJRCKRSKKakImVgwcP8uMf/5ji4mIMBgP9+vXjt7/9La2trU6vKy8v54orriApKYmsrCzuvvtut9dIJBKJRCI5cwlZ6vKuXbuwWCz8/e9/p3///mzbto3bb7+dxsZGnnnmGQDMZjPTp08nOzub1atXc/LkSW6++WZUVeW5554L1dAkEolEIpF0IUImVqZOncrUqVNt//ft25fdu3fz4osv2sTKsmXL2LFjB4cPHyY/Px+AZ599lltuuYUnnniC1NTUUA1PIpFIJBJJFyGsReHq6urIyMiw/f/NN98wbNgwm1ABmDJlCi0tLWzYsIHS0lK3z2hpaaGlpcX2f319PQAmkwmTydTpMWqfEYzP6grI+XZv5Hy7N3K+3ZvuPt9A5qWoqqqGcCw29u/fz+jRo3n22We57bbbALjjjjs4ePAgy5Ytc3ptfHw8r732Gtdff73b5zzyyCM8+uijbo+/+eabJCYmhmbwEolEIpFIgkpTUxM33HADdXV17XpSAraseBMLjqxfv56xY8fa/j969ChTp05l5syZNqGioSiK2/tVVfX4OMC8efO47777bP/X19fTu3dvJk+eHBS3kclkYvny5UyaNInY2NhOf160I+fbvZHz7d7I+XZvuvt8Nc+IPwQsVubMmcN1113n8zVFRUW2+0ePHqW0tJQJEybw0ksvOb0uNzeXtWvXOj1WU1ODyWQiJyfH42fHx8cTHx/v9nhsbGxQN2awPy/akfPt3sj5dm/kfLs33XW+gcwpYLGSlZVFVlaWX689cuQIpaWljBkzhldffRWdzjlTesKECTzxxBNUVlaSl5cHiKDb+Ph4xowZE+jQJBKJRCKRdENCFmB79OhRLrroIgoLC3nmmWc4ceKE7bnc3FwAJk+ezJAhQ7jxxhv5wx/+wKlTp/jlL3/J7bff7rdLRwu5CcSc5AuTyURTUxP19fXdUsm6IufbvZHz7d7I+XZvuvt8teu2X6Gzaoh49dVXVcDjnyOHDh1Sp0+frhoMBjUjI0OdM2eO2tzc7Pf3HD582Ov3yD/5J//kn/yTf/Ivuv8OHz7c7rU+bNlAocJisXD06FFSUlK8BuUGghawe/jw4TOizoucb/dGzrd7I+fbvenu81VVlYaGBvLz893CRFwJa52VUKDT6ejVq1fQPzc1NbVb7hzekPPt3sj5dm/kfLs33Xm+aWlpfr1ONjKUSCQSiUQS1UixIpFIJBKJJKqRYsWF+Ph4fvvb33qs5dIdkfPt3sj5dm/kfLs3Z9p8fdHlA2wlEolEIpF0b6RlRSKRSCQSSVQjxYpEIpFIJJKoRooViUQikUgkUY0UKxKJRCKRSKIaKVYkEolEIpFENVKsOPDCCy9QXFxMQkICY8aM4csvv4z0kILC/PnzGTduHCkpKfTs2ZPvfe977N692+k1qqryyCOPkJ+fj8Fg4KKLLmL79u0RGnFwmT9/PoqicO+999oe627zPXLkCD/84Q/JzMwkMTGRkSNHsmHDBtvz3Wm+bW1tPPzwwxQXF2MwGOjbty+PPfYYFovF9pquPN9Vq1ZxxRVXkJ+fj6Io/O9//3N63p+5tbS08LOf/YysrCySkpK48sorqaioCOMsAsPXnE0mEw888AAlJSUkJSWRn5/PTTfdxNGjR50+oyvNub1t7MhPfvITFEXhz3/+s9PjXWm+wUCKFSsLFy7k3nvv5aGHHmLTpk2cf/75XHbZZZSXl0d6aJ3miy++4K677mLNmjUsX76ctrY2Jk+eTGNjo+01Tz/9NH/84x95/vnnWb9+Pbm5uUyaNImGhoYIjrzzrF+/npdeeonhw4c7Pd6d5ltTU8PEiROJjY3lk08+YceOHTz77LP06NHD9pruNN+nnnqKBQsW8Pzzz7Nz506efvpp/vCHP/Dcc8/ZXtOV59vY2MiIESN4/vnnPT7vz9zuvfde3nvvPd5++21Wr17N6dOnufzyyzGbzeGaRkD4mnNTUxMbN27k17/+NRs3bmTRokXs2bOHK6+80ul1XWnO7W1jjf/973+sXbuW/Px8t+e60nyDgt/tjbs5Z599tjp79mynxwYNGqTOnTs3QiMKHcePH1cB9YsvvlBVVVUtFouam5urPvnkk7bXNDc3q2lpaeqCBQsiNcxO09DQoA4YMEBdvny5euGFF6r33HOPqqrdb74PPPCAet5553l9vrvNd/r06eqtt97q9NjVV1+t/vCHP1RVtXvNF1Dfe+892//+zK22tlaNjY1V3377bdtrjhw5oup0OnXJkiVhG3tHcZ2zJ9atW6cC6qFDh1RV7dpz9jbfiooKtaCgQN22bZvap08f9U9/+pPtua48344iLStAa2srGzZsYPLkyU6PT548ma+//jpCowoddXV1AGRkZABQVlZGVVWV0/zj4+O58MILu/T877rrLqZPn86ll17q9Hh3m+8HH3zA2LFjmTlzJj179mTUqFG8/PLLtue723zPO+88PvvsM/bs2QPAd999x+rVq5k2bRrQ/ebriD9z27BhAyaTyek1+fn5DBs2rMvPX6Ourg5FUWzWw+42Z4vFwo033sj999/P0KFD3Z7vbvP1hy7fdTkYVFdXYzabycnJcXo8JyeHqqqqCI0qNKiqyn333cd5553HsGHDAGxz9DT/Q4cOhX2MweDtt99m48aNrF+/3u257jbfAwcO8OKLL3Lffffx4IMPsm7dOu6++27i4+O56aabut18H3jgAerq6hg0aBB6vR6z2cwTTzzB9ddfD3S/7euIP3OrqqoiLi6O9PR0t9d0h/NZc3Mzc+fO5YYbbrB1Iu5uc37qqaeIiYnh7rvv9vh8d5uvP0ix4oCiKE7/q6rq9lhXZ86cOWzZsoXVq1e7Pddd5n/48GHuueceli1bRkJCgtfXdZf5WiwWxo4dy+9//3sARo0axfbt23nxxRe56aabbK/rLvNduHAhr7/+Om+++SZDhw5l8+bN3HvvveTn53PzzTfbXtdd5uuJjsytO8zfZDJx3XXXYbFYeOGFF9p9fVec84YNG/jLX/7Cxo0bAx57V5yvv0g3EJCVlYVer3dTpMePH3dbwXRlfvazn/HBBx+wcuVKevXqZXs8NzcXoNvMf8OGDRw/fpwxY8YQExNDTEwMX3zxBX/961+JiYmxzam7zDcvL48hQ4Y4PTZ48GBbcHh32773338/c+fO5brrrqOkpIQbb7yRn//858yfPx/ofvN1xJ+55ebm0traSk1NjdfXdEVMJhPXXnstZWVlLF++3GZVge415y+//JLjx49TWFhoO38dOnSIX/ziFxQVFQHda77+IsUKEBcXx5gxY1i+fLnT48uXL+fcc8+N0KiCh6qqzJkzh0WLFrFixQqKi4udni8uLiY3N9dp/q2trXzxxRddcv6XXHIJW7duZfPmzba/sWPH8oMf/IDNmzfTt2/fbjXfiRMnuqWi79mzhz59+gDdb/s2NTWh0zmfuvR6vS11ubvN1xF/5jZmzBhiY2OdXlNZWcm2bdu67Pw1obJ3714+/fRTMjMznZ7vTnO+8cYb2bJli9P5Kz8/n/vvv5+lS5cC3Wu+fhOhwN6o4+2331ZjY2PVV155Rd2xY4d67733qklJSerBgwcjPbROc+edd6ppaWnq559/rlZWVtr+mpqabK958skn1bS0NHXRokXq1q1b1euvv17Ny8tT6+vrIzjy4OGYDaSq3Wu+69atU2NiYtQnnnhC3bt3r/rGG2+oiYmJ6uuvv257TXea780336wWFBSoH330kVpWVqYuWrRIzcrKUn/1q1/ZXtOV59vQ0KBu2rRJ3bRpkwqof/zjH9VNmzbZMl/8mdvs2bPVXr16qZ9++qm6ceNG9eKLL1ZHjBihtrW1RWpaPvE1Z5PJpF555ZVqr1691M2bNzudw1paWmyf0ZXm3N42dsU1G0hVu9Z8g4EUKw787W9/U/v06aPGxcWpo0ePtqX2dnUAj3+vvvqq7TUWi0X97W9/q+bm5qrx8fHqBRdcoG7dujVygw4yrmKlu833ww8/VIcNG6bGx8ergwYNUl966SWn57vTfOvr69V77rlHLSwsVBMSEtS+ffuqDz30kNOFqyvPd+XKlR6P15tvvllVVf/mZjQa1Tlz5qgZGRmqwWBQL7/8crW8vDwCs/EPX3MuKyvzeg5buXKl7TO60pzb28aueBIrXWm+wUBRVVUNhwVHIpFIJBKJpCPImBWJRCKRSCRRjRQrEolEIpFIohopViQSiUQikUQ1UqxIJBKJRCKJaqRYkUgkEolEEtVIsSKRSCQSiSSqkWJFIpFIJBJJVCPFikQikUgkkqhGihWJRCKRSCRRjRQrEolEIpFIohopViQSiUQikUQ1/w8WtfIGTRvn2gAAAABJRU5ErkJggg==", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nmax = 150;\n", "method = \"4DVar\";\n", "LorenzTest(nmax,method);" ] } ], "metadata": { "@webio": { "lastCommId": null, "lastKernelId": null }, "kernelspec": { "display_name": "Julia 1.9.0", "language": "julia", "name": "julia-1.9" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.9.0" } }, "nbformat": 4, "nbformat_minor": 2 }