{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 5. Interior Point\n", "For this training course we'll be using the optimization routines in SciPy." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import scipy.optimize as opt\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also need to define a callback function so that we can plot the optimization steps." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def callback(x):\n", " global xprev\n", " plt.plot([xprev[0],x[0]],[xprev[1],x[1]],'b.-')\n", " xprev = x" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5.1 Logarithmic Barrier\n", "\n", "Recall that the logarithmic barrier function, for a single inequality constraint $c$, is given by\n", "\n", "$\n", "\\begin{align}\n", "\\Phi_{\\mu}(x) = f(x) - \\mu \\log c(x)\n", "\\end{align}\n", "$\n", "\n", "where $\\mu >0$ is a barrier parameter. The gradient for the barrier function is\n", "\n", "$\n", "\\begin{align}\n", "\\nabla \\Phi_{\\mu}(x) = \\nabla f(x) - \\mu\\frac{1}{c(x)}\\nabla c(x)\n", "\\end{align}\n", "$\n", "\n", "and the Hessian is given by\n", "\n", "$\n", "\\begin{align}\n", "\\nabla^2 \\Phi_{\\mu}(x) = \\nabla^2 f(x) - \\mu\\frac{1}{c(x)}\\nabla^2 c(x) +\\mu\\frac{1}{c(x)^2}\\nabla c(x)\\nabla c(x)^T\n", "\\end{align}\n", "$\n", "\n", "#### Coding Task:\n", "\n", "For different fixed values of $\\mu$, apply your favourite SciPy optimization routine to minimize $\\Phi_{\\mu}(x)$ for the following objectives:\n", "\n", "1. $f(x) = \\frac{1}{2}(ax_1^2 + x_2^2) \\qquad\\qquad\\qquad$ with $\\; c(x) = x_1 + x_2^2 - 1$ \n", "\n", "2. $f(x) = (a - x_1)^2 + b(x_2 - x_1^2)^2 \\qquad$ with $\\; c(x) = x_1 + x_2^2 - 1$ \n", "\n", "starting at $(x_1,x_2) = (1,1)$ for suitable choices of parameters $a,b$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":19: RuntimeWarning: invalid value encountered in log\n", " fun = lambda x: obj(x) - mu*np.log(con(x))\n", ":19: RuntimeWarning: invalid value encountered in log\n", " fun = lambda x: obj(x) - mu*np.log(con(x))\n", ":19: RuntimeWarning: invalid value encountered in log\n", " fun = lambda x: obj(x) - mu*np.log(con(x))\n", ":19: RuntimeWarning: invalid value encountered in log\n", " fun = lambda x: obj(x) - mu*np.log(con(x))\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " fun: nan\n", " jac: array([0.05391532, 0.05420606])\n", " message: 'NaN result encountered.'\n", " nfev: 14\n", " nhev: 0\n", " nit: 2\n", " njev: 16\n", " status: 3\n", " success: False\n", " x: array([-0.00957127, -0.00019477])\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Parameters\n", "a = 1\n", "mu = 0.01\n", "\n", "# Initial guess\n", "x0 = np.array([1,1])\n", "\n", "# Objective function, gradient and Hessian\n", "obj = lambda x: 0.5*(a*x[0]**2+x[1]**2) \n", "gobj = lambda x: np.array([a*x[0],x[1]]) \n", "hobj = lambda x: np.array([[a,0],[0,1]])\n", "\n", "# Constraint function, gradient and Hessian\n", "con = lambda x: x[0]+x[1]**2-1\n", "gcon = lambda x: np.array([1,2*x[1]])\n", "hcon = lambda x: np.array([[0,0],[0,2]])\n", "\n", "# Barrier function, gradient and Hessian\n", "fun = lambda x: obj(x) - mu*np.log(con(x))\n", "jac = lambda x: gobj(x) - (mu/con(x))*gcon(x)\n", "hess = lambda x: hobj(x) - (mu/con(x))*hcon(x) + (mu/con(x)**2)*gcon(x).dot(gcon(x).T)\n", "\n", "# Plot function contours\n", "plt.figure()\n", "X = np.linspace(-1,1.5)\n", "Y = np.linspace(-a,a+1)\n", "Z = np.meshgrid(X,Y)\n", "plt.contour(X,Y,fun(Z),50)\n", "plt.colorbar()\n", "\n", "# Plot constraint\n", "plt.contour(X,Y,con(Z),[0],colors='r')\n", "\n", "# Call SciPy's Newton-CG\n", "xprev = x0 # for plotting\n", "res = opt.minimize(fun, x0, method='Newton-CG', jac=jac, tol=1e-1, callback=callback)\n", "\n", "# Print results and show plot\n", "print(res)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":20: RuntimeWarning: invalid value encountered in log\n", " fun = lambda x: obj(x) - mu*np.log(con(x))\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " fun: -0.0005611050708775293\n", " jac: array([-0.01, -0.02])\n", " message: 'Optimization terminated successfully.'\n", " nfev: 2\n", " nhev: 0\n", " nit: 1\n", " njev: 5\n", " status: 0\n", " success: True\n", " x: array([1.0230389 , 1.04617092])\n" ] }, { "data": { "image/png": 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F9NAroPFT5yFNSuGTmx+v7Dx5+MGFoIhYNPLmoXHVkrSxLE/DyiVVTEZCCD44+3LoxlveO3ijp6VBn9Y16NNKeUAUQvDknStbTjwhNDKW7i2rMbZ3I3Qy9fHwCWXFjjs4uwdh1aQi00e2TLeRCyG4ef8LW/Y9xLioHmsWdKe4WYYD9869L2zcepfSpYqwdkVPDA0VvwuZTM6mDbe5d/cLvfvWY/SY5unXwtc7jBnjjiHJJWHT7iGYFsvY36n9Tzm+5wn9RzVlyPgW6evjYqVM67uHyLBYtp2fgHGmbXzdQ5jSdRumJQux8fxEJTu6NCGJKe03EBMZz+6Hc9H/7neXnJTClFariAiOZs/LpegXUm5Pw+2TJ5MaLqbNkKZM2z3iB3f0nyNHqGfwRwt1GxsbIsNimdx5K7lyS9h+bSq6maIGgvwimNx7F7r6BdhyZhzamex9j+98Yd38SzRuVZF5a3ulRw4kJ8tYPu8Cb1+5MnNhZ9p0yHgd/eYWxOyZZ5BIJGzY1I+SpTIiOB48tmfdxtuUKF6QtSt7UTjTj/zRCyfW77hL/vx5WTyjA5bVzdPbomOlbD74kAcvnahY1pjFk9tTzDjDLJSUnMLJmzYcvfYGCRL6tqvJoE51VKIxXLxDOHzjDY9tXdHIl5f2DSzo0bwaZYupd/h7BIZz950Tjz644h4QDkBRA23qVzSnfqUSWJYzw0CngNpt/y3kcoGbXyhvHL144+DFRzc/EpNl5M2Tm/oVS9C2dnmaVC2FlppolqTkFJ5+cOPcw098cfOnoJ4WA61q0b1ZVZXoFzu3AHaefsYnZz/KmRdh7vDWVCyd8SYllwvO37Jl3+kXFNDMx+wxbWhat2x6e4I0ic17HnLviT11apizZFYndFKjPYQQnDhtzZHjL7GsZc6yhV0pkHovU1JkrFl1nadPHBkyrDGDBjdKF+gBfhHMGHeM5BQZm3YPpnimt4Hbl23YtuIGrTpWY+bybunbyGRylk86ic0LF1YfHEa1uqXTt5HGJzKt+w7CQ6LZcX0aRTKZIgF2zjvHreMvWXVmAjWbqGrXR1de4ezm2yw9PZF6VtVU2hXXSc705isI8Azm0Of1aOtrqe33vyDH/JLBHy/UAZw/ezOzzy6q1SvDskMjlEK7vtp4MH/4YarULsnyvUOUwrEunbBm/+Z7dOpThwlz2mdyqqawePY5Ptl4MGdpV5q3zoiW8fIKZdb00yQny1i3sR/lymU87Da2HixecZUCmvlYsaRbun0UwNMnjMVrr+HlG8bQvg0Y3Lu+0nk+fOXExgMPSU5OYfzApnRrW13JphsQEs2+Cy+5+8oRfR1NRnSvT9cWVVXsw+5+YZy8a8P9t04kJsuoVtaEns2r0cKyLPnyqnd0BobH8NrBE2t7T946+hCboAjbMi6oS6USRalkbkQl86JUKF5ExXb/TyGEwDc0CgfPIBy8gnD0DsbJK4hYaRIApU0KUteiOPUrlqBmWbMsTTO+wZFcefaVGy/siIhJwKSwHgOtatG5cWUlMwuAd0A4e8695Ml7Vwz1CjCie326NK+q9PYUEBzFqp13+OjgSyPL0swZ2wbDTMLKwzuUxeuu4+0bxrB+DRnUq176fU5KSmHL9nvcfWBH65aVmDWtXbpJLikxheXLrvDa2pUx41rSO5M5MTgoihnjjhMfl8iGXYMoVaZoepv1EydWzDxLrfplWLqln9Lv+8C621w+9pIJizrTsV89pWu7ftppnt34xMqjo6jZOMM8CfD63heWDz9Aj7EtGbmoq8o1dXz/jRnt1tG6f0OmbR+i/gYC944/Z/OYA8w8MJrWAxtn2e9/QY5Qz+A/IdQBbp95w44FF+k3qRWDpymHh96/bMuWhZdo37sOE5d0UXq137/5HpdOWDN0Ykv6ZXKqSqXJLJh2GvuvPixc2ZNGzTK0FT/fcGbOOE1cbCLLV/akeo0S6W3uHiEsWHKJ8Ig4Zk9vR8vmFdPbFBrcA+49ccCyWgkWzeiAQSaBEBIWw5o993j7yZOKZY2ZPaY1Zc2V47mdPILYeeY5NvbemBXVZ1yfRjSvXU4l9j0qNoGbrxy49PgzPsGRGOho0qFhRazqWVCueOEszRspMjn2noF8/uaPvWcQ9p6B+IdlRKAW0i2AWZFUR2lhfYoV0aewvhb6Wproains6d8PNN8jhCA+MZnoeCkxcYmExcTjGxKJb4jCXu8XGoVviCLuHiBvntyUMytExRJFqVzSiLoVSlDEIGtfgDQxmZdfPLj+wo43dp7kkkhoXL0U3ZtVo26lEirXKjwqnsNXXnPl8Rfy5cnNgA6W9O9gqaTBp6TIOHfLlsPnrcmVKxdTh7egfbNKStfxziM7Nu95gFaBfCya0ZFa1TJ+F+ERcSxefgV7Bz8GD2jA0EEZWnh8fCJLFl3ig60nU6a1pXOXDLNfWGgMM8YdJzIijvU7B1GuQkYooP0nb+aOPUbJskVZv38oGpoZ53v7/Dt2LL1K5wH1Gbegk9L3vXb0BXuXX2PIjHb0ndBSqS0sMIrxrdZQxMyQzdenK+V7ACQmJDG+6XKSpcnsebk0y2iX2Mg4hledhWlpIzY9WkguNZFX/0tyhHoG/xmhLoRg69wL3L/wjsX7hlI/k3YNcHjzXS4cfM6Ime3oOTxDa5DL5WxYdIXHt78wdVFn2nXPeKDi4xKZN/UUrk4BLFrdi/qZNJqgoCjmzj5LgH8k8xZ0pmkzi/S2yMh4lqy4whc7Xwb2q8+wwY3TBYkQglsPvrJ1/yN0tTVYOL0DNVND2NLa779wZPvRJ8TESundsRYjejdAM5OAEULw+rMHO04/x8MvjJKmBRnapS6t6pdXCVuUywXvHb25+PgTLz57IJPJKWFkQNt6FWhbtwLFjZRfu9UREROPg1cQTt4h+IZG4hOsEMDBkbFq+2tp5ENLI1+WjtLY+EQVRytA/ry5MSmksK2bFtSjbKogL21S8IcDRXKKjDd2Xtx768Tzj99ISEymiIE2XZtUoXOTyhQ1VLX5BofFcPLWe649+UpKiowuLaoyolt9Cn5nJvjq5Mf6/Q9w9w6lkWVppo1oiVFh3fT2BGkS2/Y/5vbDr9SoUozFMztSMNOg4+oWxIIll4iOSWDuzA40y2TOCA+LZd7cc7h/C2bm7A60tcqIIIkIj2PWhOMEB0WxZusAKmUKw/VwDWLmiMPoG2qx+ciI9Fh0ANuXLiwed5ya9cuwdPcgcme6dl/efmPewH3UaW7Bor1DlIStLEXGvL47cfnkzc67szHL9EaQxt55Z7m67xGrL0+jZrOKKu1pbBl3kPsnXrDj5TLKZDI3/lv8DiFbvbqBuP+g+U/1LVrkSo5Q/1XUjZpJicnM6rMbH/dgtl2ZQrHSGVquXC5n7YyzvLhnx/wt/Wjctkp6W3JyCkunnuHDm28sWN+bRi0zfqyxMVLmTTnFN9dA5q/oTqNMwjs6OoGF8y/gYO/LhEmt6da9dqZ9yti28z637n6hUYOyzJ/dEc1MmpSbRzBL1l/Hxy+CXp1rMXpQ4/TQRoDomAT2nHrB9YdfMCqsy4yRLWlQK8MmCoq46cdvXThy9Q3uvmEUMzJgSOc6WDW0UMkIBIiMTeCxjSv33jjx0cUXIcDCvCgNq5akXmVzKpUy+qXQxISkZHxDogiLiiMqTpq6pDpKExSOUiDdYZrmKNVJdZDqain+6mtrUqywPoX0tFS06OyIik3gvaMP1l88ePrBjZj4RPS0NGhhWZY2dctTo7yZ2th836BITtx4x63n9gjAqqEFQzrXobixciZq5ntQtJAO04a3pHGdMkp9vjr6sXrrbfwDIxncuz5D+zZQMqs9fe7E2o230NPVZNWyHpQpnSEofXzCmDvrLJGR8Sxe1p26mWzeYSExzJ50guDAKFZt6U/VTG+DgX4RTBt6iFy5JGw+MoKiJvrpbe5OAcwctB9jM0M2nBxNAa0Mc1mIfySTumxBR68AW69MQeu7jOjjG25xZutdZmwdSKteqqWXPj5zZF63zXQe1Zzx6/pncVfA9tFX5ndcT5+ZHRm+ok+W/f6X5Aj1DP5YoV6pQhVx/eIdSldWzh4M8Y9kcpetaOtpsvXyZKXXw0RpMvOGH+Kboz9rj47EolqGhixNSGLumGO4OQWwbPsAatXLeMDiYqUsmHYGJ0c/5izuSvNMGamJicmsWnGNVy9d6NOvHiNHNVfSyi9fs2X3vseYlyjE0oVd08PWQGEm2Hv0GZdvfaREsYIsnNae8mWUkzs+O/qyft8DPH3DqF+zJOMHNVXKRgWFNv7M1o0jV9/g4hmMcWFderauQccmldIzHb8nKDyGB++cefTeBXuPQIQAnQL5qV2xOPUql6BW+WIUK6r/U1Eo/ysSk1Ow+xbAW3sv3tp74egZhBCKcMomNUrRpk556lQqoVarF0Jg/y2QC/c/8sDaiTx5ctGpaWUGdqyDcSatGxSmlhuPvnLw3Kv0t6XhvRqkJxKBwvF6+PQrzl55T5FCusyf2o7qlTM0aZlMzrGTLzlx+jWVKpqyfHE3pdR/B3s/Fsw7T65cElat7U2FTP6XoIBI5kw6SUREHCs39aNK9YzfaVhIDDNHHCY6KoFNh4djnklxCQ2KYmrfPQBsOTOOwkZ6GeebmMzM3rvw9QhRUXgAPj53YkH/3bTsWZsZWwepXL/YqHjGNlyKhlZ+dj5ZqJTwl5mEWCljas0jr0Ze9rxdST41Tut/gxzzSwZ/rFAvpGUiulQfy/a7s9D6TnB9fad4xbRsWoHF+4YqvWJGhscyvd9e4uMS2Xx6LCbFM+KXo6PimT3qKP4+4azaOZAqtczT2+LjElk86xxfP3kxY4FyVIxMJmfHtnvcuP6RVq0rM3N2B6WaHja2HqxYe4PkZBmzplnRvGmGtg/w7qMH67bfJTwyniF96jOwZ10lTTs5Wcb527Ycv/SWeGkS7ZtXZmSfhhQ2VLYrCyGw/uTBiRvv+OTsR768uWlVrwLdW1WjUmmjLAV0VGwC7xy8eWPnyRs7L4IjFGYVnQL5qVjSiIoli1KxpBEVShSliIH2L2nTf5XE5BTcfEJx9AzCyTMIB88g3P3DkMnk5M4loXJpY+pWKkHdSiWoWDLrN4x4aRL3Xjly5dFnXLxCKKCRl64tqtK/vSWFDFSv37O3ruw9/QIf/wiqWZgxbUQLFb+Gq3sQq7bcxt0rlI5tqjJxeHMKZIr9Dg+PZeW6m3z85EW7tlWYOrFNev4CgLW1KyuXXaFgQR3Wru+DaaaB3t83nNmTThIXK2X1lv5YZFJaIsNjmTXyKCFBUazZM1gpKzo+LpFZg/YT4B3GxpNjKJXJ9i6EYMvsczy4ZMOS/cOo1yojkxkUZQAmtFmHjoEW22/PVCuwN4w7xJOL79hydy7lM2VJf8+uace5se8hmx4tpFL9cln2+1/zpwl1iURyGOgIBAshKqeuMwTOAeaAJ9BbCBGRmsezDUVyZjwwNK1IokQiGQIsTN3tSiHEsR+e258q1CtZVBHmcS1oYFWV+fuGqwis68dfsmfpVbWOU1/PUKb324OOXgE2nRqDfqbY8cjwWGaOPEJoULTKgyOVJrNs7nls37ozeVZ7OmayvwshOHXiFUcOP6da9eIsWdYdPb2MkMDg4GiWr76GvaM/XTvVZNzo5koPekyslC37HvLwmSPlyxRl1oS2lCutbNOMikng6MU3XL73kTy5c9Gvc236d66tpEGm4eYdwpVHn7nz0oF4aTIVShalS/MqtKhbDr0sMjHTvoe7fxhf3Pxx8AjCwSOQb76hyOSK30H+fHkoVkQfsyL6FC+qT7GiBhTW10JXWwM9LU10tTXQKZBfrdkjbf+JSSmKxKO4RGLipYRHxeObaqf3DY7ELziKoPAY5Km/PT1tDSxKFMWiZFEqlTKmVnkzlZDO74/h4hXM9SdfufPSkXhpEmWKF6Z7y2q0bWiBlprr9dXJj10nnvHV2R9zM0PGDWxKw1qllH5XSckpnLn8nmPnrNHV0WTOxLbUr61sEvv02ZsVa68TF5fI1IltsGqTYeYTQnDtqi27djygbFkjVq3tjUEm7d3bM5Q5k06SnJzCmm0DKFs+QzBHR8Yze7RC4Vi5Y6BStmhKsoylE47z8fU3lu0ejOV30SzXjr1k77KrDJjcmoFT2yq1yVJkzO+7C+dPXmy7NZMS5VVrsjy/asPq4fsYMKsjg+Z1yfK6f33pxMzWq+g6oS3jNmZdA+bf4A8U6k2AWBTVadOE+noUmfdrJRLJXMBACDFHIpG0ByaRkXG/TQhRN3UQsAEsUdSYswVqCSEisj23P1WoW1paijnD13J41TVGL+lGt9EtlNqFEGyZc54HF9+rTX92+OjF/BGHKV6mCOuOjEwv/gUQFhzNzJFHiIqIZ+3ewZSrlFEpOCkxhZULL/LmpSujJ7emZ6ZQMYAH9+3YtOEWhQrrsHJVL8xLZsQTp6TI2H/oGRcuv6dCOWOWLOiCUaZXZFAUBdu2/yGR0Qn07FST4f0bqQhtv6BI9p56wWNrZ/R1NenbyZLubaunJ75kJi4hibuvHLj04BPuvmHkyZ2LulXNadugAo1rlkFT48cp29KkZFx9QnD2CsEnKAKf4Eh8giLxC4kiOUWm0l8igQL58ykcpBLFZwkKp2m8NFntNgAGOpqYFdHHpLAeZkX0KFesMBbmRhgV1PkpM5CHbxgP3jjx8I0z3gERqW8q5enWshqVyxir3YejWwDHLr3lxXs3ChpoMbJ3Q9q3qKyi+X/86s2mPQ/w9g2nReMKTBvTCj1d5UJgp86+5uiJl5iZGrB0YVdKZoolT06WsXP7fW7e+Ei9+mVYuKgrmpm0+2+ugcydcopcEglrtw+kZCbzSEx0AnPHHMPLPYRl2/ormQblcjmb5l3k8Y1PTF3RnbY9lOXIx5cuLBx2kLotLFi4Z4hKFMqhVde4uPthlnb0YN8wxjdejmnpomy6M5s8WYTFJiYkMbb2fIRcsPf9KjS0/rdVGH/EnybUU/uYAzczCfX0mleppcefCiHKZ1UbK20RQoxJXa/UL8vj/slC/f3796wYeZC3D+xYd2ESlesqO7GSElOYN3Av3+z92Hh+glLGKcCbJ46smHyK6vVKs3TXIKXwreDAKGaOOExcbCLr9w+hdCYNJjlZxrqlV3j+2JE+gxowfFwLJYHhYO/H4oUXSUxMZsGirtSrr3xeL61dWLvxNhIJzJzajqaNyyu1x8RK2X/8OdfufqZIIR2mjmlFo+++G4Cdiz9Hzlvz5pMnOlr56dW+Jr3a11Qp9QqKQc7ZM5gHr524b+1ESEQsGvnz0KhGaRpWL0WdqiUoqPdrySEyuZyg8BjCo+KJilU4SKNipUTHKcrgZq7OmOYsLZA/LzpaGugW0EBHKz+6Whro62hiWljvl2Pg5XKBs2cQrz978uitM998QhVZshWL06peeZrXLqvWpyCE4IO9D8cvv8Xmixc62hr06VCLvp1qKUUZAURExrH7yDPuPbHHuKge08a2ol6tUkp9wiPiWLvhFu9tPWjZvCIzprRVcopHRcazbMllPn/2pl//+gwb0VQ5l+KTN0tmn0OzQD7W7xiIaabytXExUuaOO46HSyBLNvejdqOySsc+uOEOl468YPDk1vQbq+zE83UPYVqP7RQqqsemixMp8F2521d3PrNy5EHaD2rEpLWqDk2ZTM7crptw++zFrmeLMSmZdbnko0svcGbdddbenkuN5pWy7Pdv8TuEepXqBuLa/ZY/7giULnrprwj1SCGEfur/EiBCCKEvkUhuAmuFEC9T2x4Bc1AIdQ0hxMrU9YuABCHExmyP+ycLdRsbG+KiE5jcbgPShER23J2DYRFlp1dESAxTu21DJpOz9coUCn2nGd+7ZMPWRZdp3rE6M9f2VNJkAv0imDnyCInSZNbvH0rJshnmEJlMzq5Nd7l5xZZW7aoyfX5HJTt4cHA0ixdexM01kFFjWtC7T10lwe8fEMny1ddwdgmkdctKTB7fCu3vHrqvjn5s3H0fD69QGtcrw8QRLTAuqnz+AI5ugRy//Ibn79zQ1MhLD6sa9GhXQ6WkQBpyueCzsx/3rR15auNKRHQCAOVKFKZOFXPqVTWnSlkTtbXd/238Q6J499WL93ZevLf3JjpWCkDVcia0qleeFnXKqdjK05DLBdYf3Dl++Q32LgEY6hegbydLuraprmKSkcnk3H74lb3HnpMgTaJf9zoM6lVPpW76sxfObNlxj/j4JCaNb0XHdtWU7rO7ezCL5l8gLCyWmbM70Oq7UNvnjx1Yt+wqRsb6rN7Sn6KpdYVAYSdfMOEEzvZ+LNrQh/rNlDM7Lx15wcENd+jUvx7jFnRSOm5MZDzTum8nJjqBbVcmY/RdnXPfb8FMbr+B4mWLsv7SFLVFts5tvcOR5ZeZvnMobfo3VHtNATwdfBlfdyHN+9Rn1sExWfb7N/kXhLoXEJpp1f7U0uGZz8mcLIR66ucIIYTB/3dCHRSFh6Z12kS5GiVYc3aiUlwugIdTADN67cS0ZCHWnxmvZGoBOLvvKce23af70EaMmt1eqc3PO4zZo46SlJTCmj2DKfOdA+r00Zcc2/8Uy3qlWbSqp9IrtVSazIZ1N3n6xJHWbSozdXq79BKpoDDHnDr7muOnrCloqM2cGe2pVdNc6fgpKTLOX7PhyBlr5HJB9441GNy7fnraeWa+eYVw4spbHlk7A9DIsjTdrWpgWaV4luYLuVxhf377xZM3Xz354uKvcEbmzkXpYoWoWMqIiqWNqFTaGHNTwyxt5f8EUbEJOLkH4eAeiJNHEI7ugQSHK5y4hQ20qV25BHWrlMCycvFs3zIio+O59diOq/c/4x8chVFhXQZ2rUP75pXVDlzvPnqw9+gz3DxCqF65GNPHtcb8O6EYGytl++6HPHhkT7myRsyb1QHzEspRSS9fOLN29Q0KaOVj+cqeShEuANcuvGf3lrtYVDZj+YY+6GbywcTFSFk46SROdn7MX9uLxq2UY8If3/jEhjnnady2MnM29lXS/JOTUlg49AAOHzxZe3IslSyVHZvS+ESmddpEeFA0O+7Npoip6qQirp+8mNpmDfXbV2fBkTFZ/n5kMjmzWq/Cx8WfAx/Xof9dJNGfgFwuJ3fu3Dnml7Tj/heEOsCji+/YOOUE3Uc3Z9SS7ir93z1xZNmow1g2q8DifcOUHgIhBHtX3+T6qdcq5XoB/H3CmTP6KHGxiazaNVDJeQpw5/pHtq2/RZlyRqzY2A8DQy2lfZ888YpjR55jbl6YJcu6U6y4soBwdglg9fqbePuE061LLUYPb6ok/EGRbXro5EvuPLZDR1uDIX0a0LVddaUom/TzDYrk2sMv3Hz0lcjoBIqbGNK9bXXaNauUXmwsK+ISkvjo6MNXV38c3ANxdA8iNl5RNkAjfx7MihpgVlQfs6L6FDPSx6yoAYUNFI5SHS2NXxL60qRkYuISCY+Kwy84Cr8ghZPULzgSn8BIAkMzMlmLGxtQoWRRKpU2pk7lEpibGmZrZxdCYO8SwOV7n3hs7UxyiowaFc3o2qY6zeqVVRvH7+YRzJ6jz3j/0RPjonqMHtSYFo0rqBzHxtaDdZtvEx4ex6D+DRjYr77S/lJSZBw68JTz595SvoIxy1f2TK/FD4qB9Mjex5w7YU39JuWYv6w7+TPd7+jIeOaPP4G7ayDz1qgK9HfPnFk+6QSVa5mzfN9QJYe7EIJNM8/y6Iotszb3o0XXWkrbCiFYP/EYz659YMWpcdT6LhILFLMcTWy+Ij1rVMcg6wHzwpZbHJx/lpkHx9B6gGpp3j+BVQN3svDUpP+CUN8AhGVylBoKIWZnVZo81VFqC9RM3eUHFI7S8GyP+18R6gC7F17gxpHnzNk9lGZdaqlsc/PEK3YtuUKnQQ0Yt7Sb0sMql8vZMOc8T299YcLiznTsq+wADfKPZM7YY0SGxbJ82wCl6AOANy9dWLXwEgUL6bBqSz8luyjA+3furFl1jaQkGTNmtad5C+UHNTExmf2Hn3H5qi1mpgZMm9yWmtVL8D1uHsHsPvIUm09emBrpM2pwY5rWL6c0SKXvMymFJ6+duXT3Ew6uAeTLm5t6NUrRulEFGtQqpWJKUIdcLvAJjMDhWyDOnkH4BEXiGxiBX3AUKTLVrFCdAvnR09GkgKYiozTtEqc7ShOSiIlPJCZOSlKyqsNUT1sD06KK6JoyxQtRsbQxFUoWzTbaJTNefuE8snbi0StnPH3D0CqQD6umlejWpholv4vvTyMoJJrDp19x97Ed2loaDOlTn67tq6vUyomNlXLg8DOu3/pE8WKGzJ/dkfLllKNFgoOjWbn8KvZ2vnTuWpNx41opVT9MTpaxefUNHt39SsdutZgww0rp3kWExTJ37DH8vMNZtLEPdb+LZPny3p3FY45RrFRh1h4didZ3b2wnt97j1PYHDJrWlv6TWqt818v7HnNg+RWGzu1En0ltVNqFEKwddYAX12xZf2MmleuVVemThoedD5MaLqaOVXUWnZ38R+U0pGH/2oXpLVZwX3ryjxLqEonkDApNuxAQBCwBrgLnUZQl90IR0hieXWlyiUQyHEUpc4BVQogjPzy3/5JQT0mWMbf3dty++LDlxgxKVvx+fms4uOYGlw48Y/SCznT7TiNPTkph1bTTvH3ixPTVPWndtaZSe1hwNHPHHifQP4Ilm/th2UDZeelo58uimWcRcsHCVT2pUVv5tTckOJoVmR/48a2UtCwA2w+ebN5+D/+ASFq3rMS40c2V6sOA4sF798GT3Uee4uEdSnFTQwb0rEvrpuozSUFhd7/3woHHr5wJi4xDUyMvjWuXoVXDCtSqUvynBHxmZHI5QWEx+AZFKhylMQlEx0mJik0gOlZKXHwSqYV30x2lAJqpjtI0J6m2Vn4MdApgUkQPs6L6Py28M+MbGMlja2ceWTvh5hmCRALVLMxo09iC1o0s1IZ8Avj4R3D60lvuPbFHgoQenWoyqFc9FdOWEIKHTxzYs/8JUVHxdO9ai5FDmyhlAAO8ffuNtauuk5IiY/pM1YE7MiKOFfMv8vWTN0PHNKPfkEZKgjAkKIq5Y44REhTNsq39qVFX2SHr+Mmb+SMOU9hYj/XHR6H/XZ7Cg0vv2TzrHK17WDJtfR8VIfv5lQvz++2iftsqLNg/Qq0QvnP8BdumHmfowq70nd4hiyuuSGaa3HgJkcHR7H2/+o80uwghmN5iBYGewZz13PW3hXqlagXFmbttf9wRqGZyJif56FfJatQMD45mcrv15M2fl+23Zqq8OsrlclZPPIH1PTvm7xxEo3bKs7UkJSazdMIJPr/5xuwNfWj6XXtkeBzzxx/H2z2E+et60aC58utrgF8Ei2efw8crlPFT29K5Z22l9pQUGQf3P+XC+beUK2fEwsVdlZJPQKG1nzr7mjPn36KhkZfRI5rRwaqaStKPTCbn2WsXTl54g5tHCEZF9OjfvTbtWlXJ0skpk8n55ODLg5eOPH3rSkyslLx5clPNwpQ61cypU92cMiWyLvj1JxATJ8X2qzfvv3jx/osXfoGRAFQuZ0LLhuVpXr+8SmJWZtw8gjl58S1PXzmTJ3cu2reuQv/udTAqouqE9vYJY+vOB3z85EWF8sZMm9SGct9N6SZLkXPkyHPOnLKmVOkiLF7aLb3efhoebkEsnn2e8LAYps/vRMtMZSpA4ZSfM+YY0VHxrNwxkEqZskgBXO39mDvsIPqG2mw4MQrD74Tox1euLBp2gCp1SrP88AiVQlzBfuFMstqAXkFttt6coRIJA+Dp4MfkVquoXK8sKy9OybYI18EFZ7mw+RbLLk2nXvsaWfb7N3l1zYblfbcxZddwOoxokSPUU/nPCXUAR1sPZvfYRpX6ZVlxYqyK4zRRmsy8gXtxs/Nj5bFRVK2rnEAiTUhi0ZijOHz0Zv6WfjT8LgMvJjqBhRNP4uLgz9SFnWj7nUYfF5fI2iVXePvKlY7dajF+elsVDfrlC2c2rLtFSoqMcRNa0aFjdRVB6u0dxpYd9/n0xZtKFU2ZPL6VikCB1AJfNu6cOP8ae+cAChpq0bVdDTq1qaoyK31mkpNlfLD34f1nT95+9sTdW+GsL2igRc1KxbAoY0zFMkaUK1lERSv9XyGEICg0GsdvQTi5BfLZ0RcH1wBkcoGmRl5qVipG7armNK5TGqPCqkI5DblcYPPZk0s3PvDaxp0Cmvno2r46vTrXUiq+lYZUmszpc284c/4N+fPnZfTwpnRoV03FzOXtFcraNTdwdgqgQ8fqTJjUWuVavXrmxLplV9HS0mDput6Ur6jsMPVwDWLBhBMkJaWwetcgpbwIUNRzmTvsIJpa+dlwfDRFMtV6AXCz92N2v90UMdFn4/mJSvMGgOL3PKvbVvw9Q9h2c6baQl0JsVKmtFpNTGQcu58vwaBI1pq3/WsXZrRcidWwpkzd9e9NfJEdcrmcMbXmIQTss1lNnrx5/ijzy7/JHyvUK5StKC6euJalze/e2ddsnXGaLiOaMXZ5D5X26Ig4ZvbZRXhQNBvOjqekhfKDFh+XyMJRR3C182PBtv7U+04jj49LZOWsc9i+/saQCS3oN6KJklCWyeQc3feEcyesqVazBItW91SKbgCFOWb92pt8+OBJ3XplmDmrPYYFlQWMEIL7D+3Zc+AxUVEJtG5ZiRFDm1BUzUMnhODDF29OXXqLzScv8uTJRbMG5enWvjqVLUx/qH2HhMfy7rMnbz96YOfiT1BoDIAiEqZ4ISqUNqKYsQFmxvqYGeljUlT/l802WSGXC8IiYvELSnWYBkbi4hGEo1sgkakhl7lz56J8ySLUrmZOnWrmVC5nnKW5KY3omARuP7Tj2t1P+AVEoqerSc9OtejeoYbaCCKZTM69h3YcOfaC0LBYWrWoyLjRLVQGR7lccPWKDQf2PSG/Rl6mTbdSqtQJytFR5S1MWLqud/r0c2l8tvFg6bQzFCiQn1W7BmL+ncD1cg1i9tAD5M2Xhw3HRyvNXAQQ4B3GjJ47yZM3N5suTqRwppDItHNYO+4IL25+YsmR0dT9LqQyjY3jD/Po3BtWX55GDTXO0zQSE5IYX3cByUkp7LNZg6aaa/gn8OLyO1YO2MG8Y+Np1rv+H5l89G/xxwr1QlrGwsp8ILueL0Yvi3jsfUsucfXgU6Zs6IdV/wYq7cF+EUzvtRMhF2y+OJGi35lB4mKkzBtxCA/nQBbvGEjtJspJQsnJKWxeeo3Ht7/QqXdtxs1ur6LJPbz7hS1rblKwkA4LV/VUqocNysJBQyMv02a0o0lT1ZlmYuMSOXPuDRev2CCEoGc3S/r3rZ9lNIu3bzhX73zi7mM7YuMSKVOyMB3bVKV5w/IqNvqsCI2IxdEtEEe3QBxcA3DxCCYqJkGpT2FDbQoZaqOrrYGutia6OhroamugpZmWUaoYSNKySuOlScTESomJkxIdq3CYRkTF4x8cRVJSSvp+c+WSUMLUEIsyRliUNqJCaSNKlyj8U7Hzcrngq6Mftx9+5dELJ5KSUqhiYUrX9tVp2qCc2slChBC8fe/O/kNP8fAMpaKFCWNHNqfKdwlroCi7vGHdTT5+8KJuvTLMmNWegt8NxvFxiWxZc5Nnjxxo0bYy0+Z2VIpwAXj+wJ71Cy5hXMyQVbsGUeS7HAof92DmDDmIJJeE9cdGYWqu7OiNCIlhRu+dxEYlsPH8BIqr0cDPbL3L8Q23GDa/M70nqDpOAe6ffsXmiUd/WAYAMuYb/VOTjEBxLyc2WERCbCIHPq0jd+5cOUI9E3+sUK9SqaowD2tI9SYVWHZ2klr7nyxFxpIh+/j8yoVVZyZQtb6qVu/lEsjM3rvQK6jNxvMTlOrAAMREJTB/xCE8XYKYv6Uf9VsqO7/kcjmHtz/kwrFXNGxhwdzVPVQSORzt/Vi54CKR4XGMmdKGTt1rqWjNXl6hrF11HReXQFq2qsT4ia3QVyN8g4KjOXT0OQ8e2aOnp8nAvvXp2L66SghkGgnSJB48deTqnY+4eYSQK5eEmlWL07KxBU3ql1WrrWZHdKwUv0CFJu0bGIFvYCQRkXFEx6Zmk8ZKiY2Tkt3PJn++POhoK5ylOloa6OtqYlJUD9Oi+pimvgEYFdJVG66ZFUII7J39efLSmaevnAkJi0VTIy9tmlWka7vqlM4mG9LRyZ8Dh5/x8bM3piYGjBrehCaNyqvcIyEE9+5+ZffOB8jlgnETWtG+QzWVfu5uQaxccBF/3wiGj2tBrwH1VfpcPf2GvRvvUrF6MZZu6afyFufhEsj8EYeQIGHdsZEUK6V8/vGxUub034OPWzBrTo3FooZqpNTLW59YNfoQzbtbMmv7YLVval5O/kxutYryNUuy5sp0tVFUaTi9c2Na8+VYDWvGlJ3Ds+z3b/Pu7icWddvE9H2jaDtYEQzxO4RshWqFxOE7nX+qb0PTIzlC/VextLQUS8dvZOfMUwxb3J0+U9up7RcbFc/0zpuJDI1hy40ZmJZSfbjtbTyYP2gf5uWNWXtqrEpyUmx0AgtHH8XNwY/Z63rT5DvnKcDlU6/Zt/EulWuUYMmWvioPaXRUPOuXX+OdtRtNW1Vk2tyOSrWuQeFEPXniFWdOWaOpmY/RY1tg1U7VQQrg4hrIvoNP+fDJC329AvTsbknXTjXRyiYO3d0rhEcvnHj83Am/wEjy5MlF7ermNKhdmjo1S6rNVv0ryGRyEqTJStEvaZNPa2rkzXJavV8lKTmFrw5+vLF15+krF4JCosmbJzd1a5WkeaPyNKxdRql6YmaEEHz+4sOJ09Z8+OSFnp4mQwY0pGN79bH/Xl6hbNt8l8+fvalStRiz53bExMRAZZ93b3xi16a7aOtqMH95d6U66KCqBMxZ1UNFg3e192PByMPk08jL2sMjMCupPM9sUmIKS0ce4vObbyzZN5Q6LVQnq3D57M3s7lspVcmMtecnkU/NoC+NS2RK69VEhsaw+9liCn5nuslMYkISExsuJiFGyj7bNVnOePRvkxbxEuoXzhH7jem1anKEegZ/tFB///69Iqb2qg0rL0ylZnP1M7H4e4YwrdNmdPQ02Xx9BrqGqhrwm4f2rBh3jGr1SrP04Ail2GJQ1FRfOu44Dh+9mLqyh0q4I8DTe3ZsXHSZIsb6LNvWn2LfvS7L5YJzJ15xbP9TTMwMWLSqJyXVvDJ7eoawdfNdvn7xoUrVYkydboW5eWGVfgBf7Xw5ecaadzYe6Ghr0KNbLbp3sURHJ2sNXAiBs1sQj1448szahcBgRZJPcVND6tQsSd2aJalayVSlDsq/jRACb79w3n3w5N1HDz7b+SJNTE4fnFo0rkDDOmWyTbASQvDOxp0Tp19j7+CHoaEWvbrXpnOH6ukTQGcmMTGZUydece7sGzQ18zFydHPad6iuMtAmJCSxY/1tHt79Ss06pZizpKtSEhooHJYbF1/hxUMHOvaqzfg5quY6h49eLBpzFG1dTdYcHqFUGhoUA+a6KSd5cfsL0zf0oXUP5egqgCDfcKZ13Eje/HnZenMGBmrCDdPi0Z9fsWHVxayfnTR2Tj3KjX2PWH1jNrVaVcm277+J3StnZrRayfjNg+kyLsPclGN+yeCPFuo2NjZI4xKZ2mYN4UFRbH+8AKPi6hNMHN67M7fPDspVK87qMxPVai5pcb71WlViwa7BSpP4Akjjk1g++SQfrd3UJigB2H30YvmMc6Qky5i/rpdKLDvAlw9erF5ymbgYKaMnt6ZjN1VzjFwuuHf3C/v2PiYhPpE+fevRf2DDLM0sTs4BnDzzmlevXSlQIB9WbarQuUN1SmRxPdIQQuDjF8HbDx68++DBRzsfkpJSyJVLgnmxgliUM6ZCWSMsyhpTqkShHzomfychYTE4uQbi7BaEs1sgTm6BRKU6TYuZGlCnRklq1zCneuViWcaipyGVJvP0uROXr9ni6hZE0SK69O1dl/Ztq6rkCqTx/p0727beJcA/ktZtKjNmXEulUrlpfHMNZM3iK/h4hTJoZFP6DWmkIqyDAyJZOu0MHq5BDJ/Smp6DGqjc809vvrFswgkKFtFhzeERKk5PuVzOljnneXjJhlHzO9F9ZFOVc4mNimdmt62EBkSy6do0SnyXHJXGlT0P2bfgHEMXdaPvtPZq+6Rhfd2GZX220WNKO0avzXrGoz+BJT034/DGlRMuW5XqwucI9Qz+eKEO4O8ezKQWKzEyL8zmO3PIn8UD/vz6B9aMO0LTLjWZvVO1DClkZJ026VCN2VsHqDycSYnJrJ5+hrdPnFTmO00jyD+SJVNP4/UtmNEz2tK1Xz2VBzgiPJb1y69h+9Ydy7qlmT6/I4XURLRERsaxd89jHtz7SsFC2gwb3pQ2batkaft0+xbMuYtvefbCmeRkGdWrFqdLpxo0aqA+Nf57EhOT+Wzvi52TH46ugTi5BKY7R/PkyYVJUX1MjBW2b9PUvwUNtVMdpJpoaub9qRj3lBQZsXGJxMQqHKV+AZEEBEXiHxilsNkHRBIZFQ9A7lwSzIsXonwZIyqWM6Z2DfOfNhV5eYdy49Yn7j20IzY2keLFDOnTqy6tW1TK0mbv4R7Mgf1PefvGDbNihkydbkWNGuYq/WQpcs6ftObEoWfo6hVgztKu1PiuzgooJohePuMsSUkpzF/TS6XSIihS/1dOOYVpiYKsOjgcw++iZIQQ7Fx0mdunX2eZLZqclMLiQXv4+saNlafGU71ReZU+AF+tXZjTZRP1rKqy6Pj4bO9XsE8Y4+ouwLhkEbY8WawS//4nkZY9OnhxDwbM66rUliPUM/hPCHWAt/e/sKTvDlr1rc+MXcOy/KGe33mfI2tu0GdSG4bO7aS2z6WDTzm4+iYtu9di+vo+KsI/JVnGhjnneX73Kz2HN2bY9LYqfRLiE1m/8DLWT5yw6lqTifM7kPc7W7IQghuXbTmw4wF58+Vh0sx2SlPlZebrFx/27X2Mo4MfJUsWZtSY5tSpWzrL7xkRGcede1+5cesTgUFRGBpq0bZVZVo2r0ipkj+fXCSEICAoCkfXQFzdg/APUAhc38AIEhKSVfrnzp0LXW0NChTIR65cEkV5AEifgDo+IYnYOKnabXPlklCkkA7GRfUxMdKjtHlhKpQ1okzJIr8UOhkXl8ir167cufeVT1+8yZMnF00aladTh+pUq1Isy+8eEhLD0SPPuX/3C5qa+eg3oAE9etZWq8n7eoexYcU1HO38aNqyIpNmtVPxowDcv/6R7StvUNhIj2Vb+1O8lKoZ7dH1j2xZeIlS5Y1ZeWAYuvrK+xFCcGDVDa4cfk7vsS0YOqudWifu1pmnuX/2DdO3DKR1b9Xa6ACh/hFMbL4CLb0CbH+4IFvbuFwuZ067tbjYurP7zUpMy6jmSPwpyOVypjZdRqhfBIe/rlep5/47hGy5qkXEztuq4dHqaFtsb45Q/1XUjZon113n5LobjFvbly6j1ZfIFEKwfc5Z7p6yzjLUEeD0jgec2HIPq751mbSyh4rQlsnk7F19g5tn3tK8Y3WmreyuosXI5XJO7HnC6YPPqVS9OPPX9VKrjfv5hLF+eaqAaFWRSTPbo6unvg7482dOHNz/FH//CGrWMmf02BaUVZOQlPk839l4cP3mR97ZuCOXC0oUL0ir5hVp0bwiJtk4x7JDCEFEZDx+adEvMVJiYqVEx0iJjk0gPj4JkakvqaUCNDXzoaOtiHrRTo2A0dcrgLGRPkaFfy3iJTOJicm8efeNx08defPOnaSkFIyN9OjUvjpWbatkG8YZH5/IuTNvuHD+LXK5oEu3WvQf0EBp5qrM3/vGJRsO7HxIvnx5mDirHc3VxH6nJMs4uO0+V069oUbdUsxf10tF6AshuHDwOUe23KNa3VIs2jFQpZaLEIIj629zYd8TugxtzJhFndUOSqe23OHkxtv0m2rF4Fnq0/uTpMnM6rgBbxd/tt6fT4nvqkZ+z4XNtzi44CzT946k7RBVU8+fxLOLb1k9aCcz9o+izaAmKu05Qj2D/5RQl8vlLB+0m3f3v7LmynSqZfH6mZIsY+nQfXx87sSiQ6Oo10bV8SOE4Nimu5zb/YgOA+ozYXl3tdrRuf3POLbtPjXql2HBtv4qDyUoHKhbll0jv0Ze5qzuoTRzTRppr/LHDz5DT78AY6a0plmrSmof4ORkGTeuf+D4sZfERCdQr34ZBgxsSMVKqrVuMhMZGc+zF848euLAV3tfACqUN6ZendLUtixJ+bJG2Ya0/WmEh8di+9GLt+/dsX7jRkJCEgYGWjRrUoEWTStQ0cI02/lUo6MTuHrZhsuX3hMTI6V5i4qMGNUM4ywGOl/vMHZsuMNHGw8s65VmxvxOKslEoLCfr55zAcevvnTtV5fR09uqZDXLZHL2rbnJjdNvaNahGtNX9VBr2ji+5S5ndjykff/6TFyh+hsEuHvamm2zztCyR21mbBukto8Qgs0Tj/LgjDWLT4ynQYfsU/tdP3oytelS6nesyYJTk/7oshGyFBmja84ld97c7Hm3WuU3LIQgV65cOeaXVH6LUFc3yep37c2Aa4BH6qrLQojl2e0zqwscF53A1NariQ6PZceThRQxK6hma0iIS2ROr+14Owew5twkLNTYQoUQHF53i4v7n9JpUAPGLumq1g7/4IotWxdfwbxsUVbsG6JSlwPA2z2ElbPP4+0eQv9RTRgwuplaAermHMDWdbdwcQygZp1STJrZDtPvsgjTiI2RcvWKDRcvvicmOoGaNc0ZMKgh1apnXT89jcCgKJ48c+LZCydcXAMRAnR1NKhZw5zaliWpXrU4xkZ6f9TDnCBNwsHBn/cfPLCx9eSbezAAenqaNKpflubNLKhetfgPB6awsFguXnjHjWsfSEhIokHDcgwc1JDyFdQ7FROlyZw9/orzJ63Jlz8PI8a3pEPXmmqvzdsXLmxYdBlZipypizvTVI05LVGazPrZ57B+6JCl+U4Iwalt9zm1/QFte9dh8uqean97b+5/ZcWIA9RoUoGlR8eoOPfTuLrvEXvnnWXA7E4Mmpt9WJ40TsqEBouRxkrZ8341utnU0fkTuHv0KVvGHWLJ+ak06KRanXXDuEPM3jsyR6in8ruEusokq9+1NwNmCiE6/uw+s7vAPq6BTGm1GpNShdl0O2vHaWRoDDO6bCEmMo6NV6dRPIu6KgfX3OTywWdY9anLxJU91AoNmxcurJp6Gl2DAqzYN5TipVXj4aUJSexcc4sHNz5RvU4p5q7ugUFB1QdGJpNz64oth/c+ITk5hX6DG9F7UIMsozQS4pO4cf0D58+9JSIijkqVzejew5KGjcr/lDkjKioemw+evLdVCMuw1IkodHU0KFfOiArljClfzphyZYpSqJBOttrv7yJBmsS3b8E4uwbi4hqEs0sAPr7hyOWCPHlyUaWSGZa1SmJZ05wypYv+1Dl5eoZw7Yotd25/RiaT07xFRfr1r09JNbkLabx/7cauTXfx94ugRdvKjJ7UWqWUAyje/o7ufsSFo68oXd6IBet6Y1pCVaGIjoxn2cQTOH70ZvTc9nQdpDqjUGZlonXP2kxd20utQHd47868vjsxr2DM2vOTVfIr0vj03JH5PbZSz6oqC4+Ny7ZQF8C2iYe5c/gpa+/MpXrT7EMd/22SpEkMqzyLQiYGbH22RGWgdf3kxaQWK7kXcTBHqKfy28wv3xeE/66tGb9RqAO8vfeZpf130axnHWbvVV9mFCDAK5TpnTeTL38eNl6dRuHvEkpA8ZAd33yXs7se0aJrTaav76PyOg3gYufLknHHSEpMYe7GviplBdK4d+0jO9fcRFtHg1krulNTjTkGICw0hn3bH/D0gT1mxQ0ZO6UNteuXyfK7JCYmc+f2Zy6ce0tgoMI52r5jdTp2qklhNWYCdQgh8PAMxc7BDxeXAJxcAvHwDEEuV/wO8uXLg4mxPmamBpiaGGBqakAhQ210dDTQ1dVEV0cTHR2NLLVlIQTx8YpSAbGpNviIiDj8AyLx94/Azz8S/4DI9IEFwNBQi3JljChfzgiLCsZUrVLsp2Pok5NlvHrpzPWrH/j82Zu8eXPTpm0V+varj4mp6r1OIyggkgM7H/L8sSNmxQ2ZNLO9SinlNIIDIlm74BL2H71p38OScbOs1E4P5+UWxLIJJwgJjGLW2l5qk9iEEOxbcY1rR1/SYUB9xi/rplYIe7sGMrPrFnT0tdh0fRr6WZTKCPAMYUqr1egX1mHr/fkUyCZ/AeDl1fes6Led3jM6MmKl6rylfxpXdt5j76yTrLszl+rNVMsWzO+xBbfP3lz4tvVvC9kyVYuK9Td+LqSzh/nfP94/xf9SqF8CfAF/FALePrv9/cyoeXbzLY6uvPrDWFw3Ox9m99hOIWN9Nl6eqjY5CeDMrocc33SXhlZVmLN1gFobaLB/JMsmnMDTNZDhM6zoPrSRWiHs4RrEqjnn8fEIpUvfugyf3AqNLN4obN5+Y9emu/j5hFPDsiSjJ7WidLnsnaPv37lz/Zot795+QyKR0KhxeTp0qkGN6iXInefX7OZSaTJu34Jwcw/G3z8SP/8I/Pwj8A+IJFnNRBcAGhp507VnCZA2W0ZCQlL6APE9hQpqY2KsCJk0MTGgVMnClCtrRKGC2r9sBgoKjOL27U/cvvmJ8PA4jI316di5Blbtqqotv5BGbIyUM8decvXCOyRI6De0Eb0G1Ff7liSE4OGNz+zecBshF0xe2IkWagQ1wNunTqybdQ4Njbws2jEQi+9K64Livu1ceIm7597SbXgTRn0372j6d/MNZ0aXLcjlcjZdnYZxCfW5CHHRCUy3WktYYCTbHy7AJJs3EgB/9yAm1F+EWVljNj9e9EeHL4IivHioxQxMyxRlw/0FKu32b9yY0X4dI5b2pPcUqxyhnsr/SqjrAnIhRKxEImkPbBNCqATzSiSS0cBogOLFi9fy8vLK9phCCNaPOciTi+9YeGwcjTqpZoGm8eW1KwsH7KZURVNWn1WdeT2NK4efs3/ldWo3q8CC3UNUUrxBkaS0cf4FXt23p3XXmkxc2lWtUEiUJnN4+wOunnmLmXkhZq/sTvksnJ3JyTJuXbXl5KHnxEQn0Lp9NYaMbkbhbEqkAvj7R3Dj2gfu3PlCTHQC+gYFaNrUghYtK1KxktnfMqXI5YKQ0BgiIuKIjk5QRL7EJBATk0BsnGIKvLSol9R/0dRIjX7R1VTUf9HWQE9PE2Mj/SwTq36WkJAYnj915MkTRxwd/JBIoE7dMnTpWpPadUpn+12Tk2XcuGTDqSMviI1JoFW7qgwZ3YwiWcTDR4bHsnXFDV4/daJyjRLMWtENIzWavxCCC4eec3TLfUpbGLN45yAKG6nuMyVZxqZZZ3l6/SP9JrVi0NS2agV6REg0s7pvIzI0hg2XpqidCAYUA8TS/juxfWzPqotTs628CAozxrTmywn0CmXX6xUYlVCfwfwncefIU7aOP8Tqm7Op1VI12GFut814Ofpx5MNqNLU0cswvaQghfssCmAN2P9nXEyiUXZ9atWqJnyExIUlMab1adDYZL1w+embb9/W9L6J9scliZvetIiE+Mct+t06/Fu1KzRSz++0WsdEJavvIZDJxfPsDYWUxT0zvv0eEh0Rnub8Pb76J/m03CqtaS8XxPY9FclJKln1johPEgZ0PRPvGq0THpqvFwV0PRXhYbLbfSwghEqXJ4vkzR7F08SVh1XqdaNF0lejbe4fYu/uh+PDBQyQmJv9wH38acrlc+PqEiSuX34upk4+Lls1WiRZNV4lRww+IUydfiQD/iB/uIyVZJh7d/SIG99ghWtdbLmZPOiHcnAOy3eblIwfRq/k60aHOcnHh2EuRkiJT2y9RmiTWzz4nrCzmidXTT2f5m5ImJIllY44Iq5IzxLk9j7I8blRYrBjbcrXoUnq6sHv3Ldtz3DvvrGhrMFLcPPI0235p7JhyVLTRGChe37T9qf7/NinJKWJIxeliYoNFQi6Xq7R/eeUs2hqMFJd23RdCCAHYiL8pw35W5vzs8YBpgD1gB5wBNIAXwKfUxR+4mtq3GRCVqW3xX/0e/xOhDhiR8VZQB/BO+5zVUrZkefHlhdNPXeDwoCgxqMps0b/iTBHiF55t36dXbUR7s0liXp8dIjEhKct+j67Yig5lZ4nx7TeJsKCoLPs9v/NFdKmxWAxsvlbYf8h6UImJjhfrFlwUbaovFuP77RHOdr7ZnmeAf4RYvfiyaFN/uejYdLXYtfmuCM7mPDITFycV9+99FfPmnBOtW6wRLZquEu3brhdzZ58VF8+/FV6eIWoflD+B6Oh48fSJg9i04Zbo32enaNFUIciHDt4rjh19Lry9Qn9qP4mJyeLmFdt0YT56wF7xzto12+8dERajdI883IKy7BvoGy4m9doprCzmidN7HmW53+jIODGj107RrtRMcf3Yyyz3FxsVLyZZrROdSk4VH55n/7u/eeSpaGswUuyZeybbfmm8vPpetNEYKPbOOvlT/f8EHpx6IdpoDBQvr75X2z6r0wbRt8IMIU0dSP80oQ6Yooj200z9fB4Y+l2fS8BgkSHUb/7d7yCE+G3RL+omWc0LIITYK5FIJgLjgBQgAZguhLDObp8lTUsLJzfHLCNbvsfDwZcZVuswMi/Ehpuzs82ke3DuDZunn6J2i4osPDhSrdMLwPa5MyvHH0PXQIuVR0dRTE3EC4Cbgz+rpp0mJCCS4dOt6DakYZY24hcPHdi97jaR4bF07lOHweNbqI19T8PHK5TzJ6x5ePcruXJJaNOhGn0GN8ToJ5OK4uMT+fTJG9v37tjYeODro5iI3NBQiwoWJlSoYEJ5CxMqlDdG+wdOtt9NSooMT49QnJ39cXYKwNkpAHf3YORygZZWfqrXKEHNWubUsiyJmZnhT9ndpdJk7lz/yIWT1oSGxFDewoS+QxpSv3H5LM0zcrmcu1c/cGjbQ6TxSfQZ3oj+I5tmGT745rEjm+ZfQC4XzFjdiwat1EeQBPtFsHDYAQK8w5i1qR9NOlRX2y8uJoGF/Xfj9tWHRQdHUqeV+qxjAJuHdizut4NazSuy9PREtQ79zPi5BTKx4WLMyhix+Q8vA5CGNE7KiKqzMTDSZ/uLpSqOZLs3rsxsv56xq/vQdWwr4PeYQ0pWMRbLrw/5qb6DS6370cTTpsAboBoQjWLS6e1CiPup7booJp8uIYSI/ivBJFke+3cI9X+CX7FvpWH72J5FfbZTvXEFlp+blF6WUx13Tr1i++yz1G1dmQX7Ved8TMP1qy+Lhx9U2DAPDKdiLXO1/WKjE9iy8BLWDx2o37Ii01f1UJl2LI24GClHdj3i5vn3GBbSZvyc9jRsYZGt0AoMiOT8CWvu3fyETC6nYZMKdOphSbWaJX7JyRgYEMn79+7Y2/vh7OiPt3dYepupqQFmxQwxMVVEvZiYGmJiok+hgjpo/GTNl++RpcgJj4gjICACf79IAvwjCAiIxNc3HA/3kPSJM3R0NChX3piKlUyxtCyJhYXpLzl8AwMiuXPtA7evfyQqIp4q1YszYFhjatQume15e7oFsX3VTew/eVOlZgkmL+ikNtUfUsMat97n0pEXlKlowvwt/VVmKkrDw9GfRcMPIo1PYvG+oVStp1r4DRT5FAsH7Mb5oyfz9w2ngVW1LM/121dvZnZYj0nJImy4OfuHkS7SOClTmi4jPDCSna9WUDQLh+ufxomVlzm56gqbHi6kckPVCLPFfbfjbOvBsc9r04t6/QtC3QsIzbRqvxBif+Y+EolkCrAKhSJ7XwgxIFPbYKCzEKJn6udm/GIwSVb8uUK9RAlhU7MmNG4MTZpA9eqQ58daxv1Tr9g86Sht+jdk2o4h2T7QN4+9YNf88zRoV5V5e4ZnqZkFeIexaOgBQgIimbt9IPWzmDJMCMHVE9Yc2niHwkZ6zN/Sn7LZZIE62fmybcUN3F0CqdekPGNmWmGShZBIIzQ4mivn33H3xidiohMoVqIgHbtb0rpd1b+kacfGSBWhjU4BuLoE4u8XgZ9fBAkJSUr98uTJhY6OJjq6GujqaFJAK7/StU37NyEtnDFGSkyMVGU/uXJJKFJEFxMTA0qWLkKFCsaUL2+MianBLw8aMpkcmzffuHnZlnevXZFIJNRpUIae/eur1Dn/nvi4RM4cfM6lk9ZoaWswalobWndSnUc2jZDAKNbOOIPDR2869qvLqNnts3zD+2Ttyoqxx9DUzs+KwyMpmUXSkzQ+kcWD92L/zp25u4bSuFPWWaAhvuFMbbsGiUTCtgfzs62NDqmld4fu4dmFN6y6MUuto/FPJNgnjJHVZlOvQw3mn5io0u5u78v4xssYPL8L/WdmKLV/WkEviURigEJI9wEigQvARSHEydT2O8BBIcSl1M8/FUzyU+f2xwr1YsWETb584O6uWKGlBQ0aKIR848ZQty5oqteET6y9zqn1N34qu+7a4WfsXXSRhu2rMWfX0Cw19siwWJaOOozrFx9GL+xM5yHqQxkBHD97s2baGSLCYhk2rS1dBzfIMiFEliLjyuk3HN/zBFmKnI69LOk/qil62UwoDYrImuePHbh5xRZHOz/ya+SlSQsLmrWqRI3aJf9WCV0hBJGR8ekCPiIijpjoBEXkS7SUmJgE4mITM/pn2k5TMx86Oql1X1L/6ukXwNhYHxNTA4oW1fvL9V/S8PYM4elDBx7c+kxQYBSGBbWx6lSd9l1qqkwZ9z0pyTLuXLHl5L6nRIbH0aZLDUZOaZ3t9X79yIGtiy6TnJTC5OXdaNY+a2364WUbts27gGnJQqw4PIrC300inUZ8rJQlQ/bh8O4bs3YMplnXrOVRTGQcM9uvJ8Qvgk13ZlOyouoUfN9zddc99sw8ydBlveg3++cmfvgTWDt0Ny+v2nDo83q1bxbrxhzkzZ1PHP+yDp1Moat/oFDvBVgJIUakfh4M1BNCjJdIJIUAZ8BUCCHNYntPwFIIEaquPVt+h2H+n1jSnRZ+fkKcPSvEhAlCVK0qhESi8O/mzStEo0ZCLFwoxMOHQsTFpTsx5HK52Dj+sJjSapVIlGbtDE3j6sEnwspkolg8aE+640UdCfGJ6VEMW+eeF0nZRJRERcSJpeOPCyuLeWLW4P0i0Dd7B25ocLTYuuKasKq5RHRttEqcPfz8p85dCCFcnfzF5jU3RNdW60TrestFj7YbxLZ1t8TnD55CJvszHaK/ir9fuDh99IUYM3CvaF1vuWhTf7mYNeG4ePbQXiQnZx1NlIZcLhevHjuI4V22iTbVF4sZww8Jxy8+2W4TG50gNs27IKws5onx3bYLH/fgLPumpMjEgdXXhVXJGWJO/90iOjIuy74xkXFiWqdNon2xyeLJFfWOwDQS4qRieru1omPRseLTc8fsv2QqX144iXbaQ8SSnpuFTKY+cudPxOn9N9FGY6A4suS82nYPB1/RruAosX+Rcvs3O58/0VFaF0XkSwEUqRzHgEmpbWOBY9/1/+VgkqyWP1dTz2rUjIgAa2t49kyx2NqCTAZ580KdOtCsGTRrRoplbVLyaqCRzSw5mbl94iU7552naoOyLDkyOsuUbLlczvHN9zi3+xGVa5dkwe4hKvOepiGE4MGVD+xdcxOAcfM70iqLmiJpeLuHcGjbA948d6aIkR6Dx7egRbsqP3SIASQlpWD79htPH9hj/cKFRGkyhQrrULt+GSzrlaaGZcn/uTP0ryJLkePs6I/tu2+8s3bD2cEfgIpVzGjWuhKNm1tQsNDPZdE6fPbh0LYH2H30oljJQoyc0oa6Tcplex8+v/3G5vmXCA2KoveopvQf1yLLt7i46ATWTT3F+6dOdBzYgDGLumRpyosKj2VBv114OQcwd/dQGravnuU5pCSnsGLwHt7d/8q8g6No0k11FqTvCfOPYEKDRWjparL9xTK01FSi/FNZ0GUDLrbuHHPcTAEd1bfwxX23Y//GjSMfMurVpCTLGN1sJUesl/5tTb1EFRMx78qon+o7ruzyHx5PIpEsQ2F+SQE+AiOFEIkSieQpsFYIcTdT318OJsnyuP85of49MTHw8mWGkH//PkPI166dLuRp0EBhwsmGx5fes2nqCcrXMGf5ibFoZ/NAPL3+kS1zzqFfSIel+4dR0iLrMqdBfhFsmn+Rr+89qN+yIpOXdUX/B0WUPr334MCWe7g5BmBkakDvoQ1p3blGlvVhvichPonXL5x58cSRjzaexMclkiu3hAoVTbGsW5qqNUtQtrwxmlnM8fm/RiaT4+sdxtdP3nx4585HGw/iYhORSKCchQmNmlWgaatKPx31I4Tgw1t3zh56zhcbT/QNtRg0tjntutXMdoBMlCZzbNt9rhx7hWmJgsxY2wuLaqrZoWn4e4aydPRh/D1DGbekKx0GqC/1DBAeFMW8vjsJ9A5j4YER1G6hmvaehlwuZ9OEIzw694ZJmwbQYVizH37n5KQUZrddjftXb7Y9X4r5T5hp/hQc3rgyrflyhq/oQ5+ZqgEgX145M7vTRoYv6U7vKRnzFd8+8ZIdc89x13/nHyfU/y3++0L9e2JiFJr8kyfKQj5PHlUhr60qWF/d/sTa8UcpUd6YVWcmoJeN8HX+7M2KsUeJi5Eyc1M/GrbN2hkll8u5etyao1vvo6mVj5Ez2/1Qa5fL5bx97sKZQ89xtvOjYGEdegxqQIeellmWHFBHSooMJ3s/bN58w+btN1ydAhBC4dwsbl6IchaKsMYy5Y0xLWaIrp7mP1q9MSkxhQD/CL65BOLiFICLUwBuzgFIUyfWKFxUF8u6palVpxTVLUuqrT2fFXK5nNdPnTl76DkuDv7p16x9j1poqpmjNDOf3nxj14pr+HqE0ql/PYZPt0Ijm0Hv40sXVk86gUQiYeHuwVlGuAAE+4Uzr/dOwoOjWHZsLFUbZO0DE0Kwf+F5rux5qOIQzI49M05wdfd95h2fQLNeqlMx/snM77Qet0+eHHPcjKaamvNTW68hLDCSQ+9Xpoc5JyYkMaLRcoqaGbL5+ow/yqb+b/J/T6h/T2wsvHqlEPBPnyqEfEqKQshbWioEfMuW0LBhuuP1/WN7Vo46hHkFY7bcmJFt1buwoChWjD2K82cfeoxqytCZ7bN89Qbwcg1i+7KrOHzwonItcyYu6UIJNZNTZ0YIwad3Hpw59JzP7z3Q1S9A26416NirNkZqCpT9iKjIeJwdFCGNLg4BODv6ExkRl95eQCs/JqYGGJsaYGJmQMHCOujoaqKrq6lI/9dVRL+k135RFH8BhCL6JTqBmBgpMdEJxMZICQ+LJcAvggD/SAL9IggNiUk/Vr58eShTzoiyFsaUq2BMhUqmmBUv+MuDSnxcIo9ufeb62Xd4e4RgXMyQ3kMb0qpj9R++3USExnBg/R2e3PyEcTFDJi7pQs1shK5cLufc7sec3HqPYmWKsGT/cIyLqy8BDeDlEsCiAXuIj5Wy4uQ4LGqpLxyWxtkttzm64gpdRrdk7Jo+P3UtHp+1Zt2wPXSfZMWY9QN+2P9PIm2aupGr+9JrmuoEIM+v2rB6+D6m7xxKm/4ZVS8v7nnIoZXXWH9pClXrl80R6qn83xfq3xMbm2GTf/oU3r1TCPn8+RXae8uW0LIlX5L1SEyWZ/uKnEZSYjL7V17n1qnXVKxlztztA1UmFc6MXC7nwZUPHNp4h4S4JHoMb0y/sc3V1pn5HofPPlw8/orXz5wRckGdxmXp3KcuNeuV+mHJ1awQQhASFM0310D8fSMI9I/E3y+CAL9wAv0jSUmR/6X9ZqZgIR2MzQwwNtHH2MQAI1N9SpUpSgnzwr9cgCwznt+CuXn+HQ9vfiYhPokyFsb0HNSQJq0r/tAPIZfLuXvRhiOb7yKNT6bXyCb0Gd0s2/sQGRbLxhlnsH3uTPMuNZm0skeW/hcAu3ffWDZ0H3nz5WHFyfGUrpy9SeT6gcfsnnOG5r3qMmvP8J+6p07vvzGrzSrKW5Zi7e252eZn/GkIIZjbfi2eDr4cc9ikMk2dTCZnXMOlSHJJ2P1iSXp1UGl8IkPqLqVMFTNWnZ7wx0W//Jv8/yfUvycmBl68gEeP4PFj+PRJsV5HB5o2TRfyVK6cEYydBU9vfGT7/IvkzZ+H2Vv6U6ux+tK8aUSGx3Jwwx0eXfuIUTFDRs1qT/2W2SchpRESFMXtizbcvmxLZHgcJsUMsepWk2Ztq1A0izC6v4JMJlfEnEcnEB2VoNDCozNCGgUCkRHTiGaB/GinlunV1tVI1/B/ZsD6WeJipbx55szdqx/4YuNJ3nx5aNqmEp361KF8JdOfun7OX33Zv/YmDh+9qVK7JJOWdKHYD6oc2tt4sGbySaLD4xi3tCtWfepme6xXtz+xbuIxipgasvLUOIyKZ5/8c+/kS7ZMPkb99tVZcGTMTwnnEN9wJjdeTD6NfGx7vhR9NRO4/MmklQIet3EgXSe0VWl/eukda0cdYP7hMTTJFPZ5ae8jDq64yqar06hYu9RvEbLFKpuKqZfG/1TfmRUW5gj1X+V/JtS/JzRUYY9/9EixuLkp1hcpAi1aKJaWLaFUKbWb+7oHs2rCCbxcAuk7sSUDJrf54Uw9n958Y/fK6/i4h1CxRnFGzGxHxR8kz6SRnJzCy4eO3Dj/DvtP3gBYVDGjqVVlmrSqRMEfVHn8ryBNSOLNcxee37fj3UtXkpNSKGqiT8detWnbpcYP4/rT8PcK49i2+zy/+xU9Qy1GzGxHqy41fujbuHzoOUfW38bIzJD5uwZROovqiWlcP/KMvYsuUaGmOUuOjs7WNwPw5NJb1o8+RM3mFVlyakKWiU2ZkcZJmdFqJf7fgtjydMl/yjEKivMfWX0u2gYF2GW9Qu2UgGla+p6XS9LfWhITkhhWfyklyhuz5twk4PdozjlC/R/mXxPq3+PtrdDg04R8QIBivbl5hhbfogUUzbCLSxOS2LP0KvcvvMOiZglmbOiLacnsS53KUmTcu2zLyZ2PiAiNoWHrSgyd2gazH2yXmUC/CJ7ds+PZfTu+OQcikUioXKM4tRuWpWb90pQub/SXTTT/BsEBkXx48w2b1994lxqiaVhIhyatK9KkTWUsqpr99PeJDIvl9J7H3D7/jjx5c9N9aCN6DGucbd0dgBD/SLbMOcfHV640bl+VKWt6o5VNWKhcLufo2htc2PWQem2qMGf30B86ta1vfWTl0L1UqleGFecmp6e+Z4dcLmfVgJ1YX7dh6cXp1G1X/Yfb/GkcXnyecxtuZFkO4Nnl96wZuZ/5h0YrhXNeO/SUvYsvsf7SFKqkOqdzzC8Z5Aj1X0EIcHLKEPJPnkBkpKKtWjVo00axNGoEGho8ufaB3UuvMGtzf+o0z77edRrS+CQuH3vJxUPPSUxMwaqHJb1HNaVoNrP4qMPbI4Tn9+14+cgRD9cgAPQMtLBsUBrLBmWpZmn+x2nxCfGJ2H30xva1GzbWbvh4KJLpDAvp0KB5BZq2qUylGj+eozQzsdEJXD/1mouHX5AoTcaqhyUDJrRQO89sZoQQPL76gd1LriCXyxm1oDPt+mZvbpEmJLF56kle3PxI+4ENGb+q1w/t+u8efGX5wF2UqVaC1Zem/bCeSxppAnHMuv50n9zuxxv8YQR4BDOy2mya9a7PrINjVNrlcjljGy4FYO+rjKJeSYnJDG+wDGPzwmy4NCW9f45QzyBHqP8dZDL4+BEePFAsL19CcrIiiqZpU2jThvgGTShQp+YP7fHfExEaw+k9j7l7wQaBoGXnGvQe2RRT818vyhQeGsOHN+7YvnbD1tqNqMh4AAoW1qF8ZVPKVTKlfCVTylY0QSeb6pa/k6TEZNxdgnBx8MPF3h9nez98PEIRQpAvfx6q1CxBrfplqFW/NCVKF/nlaJjI8FiuHrfmxunXxMcmUr+FBcOmt/2h3RwgKjyOHQsu8ureVyrWMmfGxr6Y/KAYVohfBMuG78fd3o/hCzrTY2zLH56zzUM7lg3aRYkKJqy5Ml0p7T07bh96zLaJR2g/ojmTdwz7oyYP/1nWDNnN6xu2HLHbSEE1EVxpWvrcA6No1qNO+vq0QnyrzkygZpMKANw79xarvvVyhHoqOUL9dxIbq4iquX9fsTg5KdabmmZo8a1aQaGfF8whAZFcPPyCuxffk5Iso0m7qvQd3YwSZbMPg8wKuVyOm2MADp99cLb3w8XeD1+vjEqNevoFMC5miLGZASbFDDE2M0wPadTRSw1n1M6fpSARQpAoTVaEM0ZLiYlKICI8lkDfCPx9wwnwjSDQN4KQoKj0ae/0DbVSBxYTLKoWo3KNEn/ZsRoaFMWlIy+5c+EdSdIUGrWpRJ/RzSidTXJYZt48tGf7/IvERMUzaFpbeoxq9sM3A0cbD1aMPECiNJk5u4ZSp+WPI6be3P3MqqF7KV7emLVXZ6Dzkz6B9/c+s7jHZmq1qsyyi9N/KtP4T8P1oycTGyyi7+zODFvWS6U9SZrMqHqLKKCjyc6ni9Kvf1r2qLZeAbbdmolEIiEyLJbhzdZwxW713xayppXNxLjzU37cEVhUafYfK9T/O7FP/wW0taFDB8UCCnv8gwcKAX/tGhw5otDYa9bMEPINGkC+rG2uhY31GbegE31GN+PKsZfcPPOWp7c+U6NBGTr0qUPdZhbZxsV/T65cuShXSaGdpxETnYCLgz/fnAII8A3H3ycch08+PLtnp3a+0Vy5c1GgQD6ltw+JRGGdksYnkZKifl5TPQMtTMwMqFSjOMZmBpQsa0T5SiYUNtL7W9qmEAI7W09un3vLy3v2yIWgecdq9BnV9Kc0c1DUPt+74hqv79thXt6YVcdGZZslnMaD82/ZPucshU30WXN+EiXKqa/ImJmX121ZM/IApasWY9XFqT+toX/77MWqgTspVaUY80/8uJb6n8rhRefQLahN7+mqMekAV/Y+JMg7jLVXpysNqHdOvSLAM5Rlx8ak/14u7H1M4neVQP9/J0dT/18hkynq1KRp8a9fK+LjtbQUCVDt2kH79lAy+8SU6Mh4bp55w50L7wkNjKJgEV3a9rCkfZ86v91GnpSUQpB/JJHhccSmhjLGpIY1xmeu0igyzVGqmS89lFFbVxNtHQ30DLQwNjOgwE/W4flZ4mKlPLr2kVtn3+L9LRgtHQ1adalB18ENMTLLvoRxGinJMq4efcHJrfdAQP9Jrek2oskPJ5NISZZxZM11Lu97TLWG5Zi/d3iWE5pn5snFt2wYd5gKlqVYcW5ytpO5ZCbYJ4ypTZeRK3cutj1botZk8V/A9tFX5ndcz5j1A+g+yUqlPSI4mhGWC6jWpAJLTk5IXx8fK2V4g2UUL2fEuguTkUgkhAREMqL5Wpp1qs6Mjf1yzC9p/JUqYP+L5Vcqpv0niYoS4to1RfXJ0qUVlSdBiAoVhJg+XVF5UirNcvOU5BTx+rGDWDj6iGhXcb7oUGWBWDbxhHh2+3O286/+10lJThG2r1zE5gUXRdeaS4SVxTwxufcuce+SzS9/b4cPnmJcu43CquQMsWTkIRHoE/ZT2wX7hYvpXTYLK5OJYtf8c9nOOZuZ20efCSvDUWJWpw0iPkb93LfqiImIFaNqzhFdi4wS7l+9f3q7Pw25XC4mNlgkBpadkmUF0l2zT4l2hUYLH1fleWRPbr4trEwmCqcPHhl9F18SHcrOEgHeoX9clcZ/c8kxv/xb6OpC586KBcDFBe7cgdu3Ydcu2LxZocW3aqXQ4Nu1g2LF0jfPnSc39ZpbUK+5Bf7eYdw+944nNz/x+pEDGpr5qNfCgqbtq1KrYdn/xBRm2SGXy3H46M3zO194ce8rkWFxaGrlp7FVFTr2q0u5H2Rpfk+QXzgnNt/j8dUPGBbVZeGeITRoU/mnTEC2zxxZP/E4SdIkZu8cQvNuP6esXdnzkH0LzlG7dRUWHh3709M0JkmTWNZ7K36ugay6MZuSlYv9eKM/lOeX3uHywYPpe9VPIRngGcLto89pN7gxZmWM0tdHh8dxae9jGrSrSvka5gCEBkZx59xbWvesjVGxrEs0/P/If/tp/79EuXKKZcoUiItThEveuqUQ9NeuKfpUqZJhpmnQQFGJEjApXpCRs9oxbHpb7Gw8eHr7Cy/v2fH01me0dTWoXq8MNRqUoVbDsr8cGvlvERkey6fX3/hg7cYHa1fCgqLJr5GXus0q0KR9VWo3LvdTCTqZiYmM5+zuR1w//hIJEnqMakq/ia0o8INYdVAkwpzafIez2+5RvJwRC/YPp1gmwZMVQgiOrrzCuS13aNSpJnMOjPrpQVYul7Nh5H6+vHBi7tHxVG+qfi7U/wJxUfHsnXWS0tVK0GpAI7V9jq+5Ru48uVUKmF3Y/QBpXCKDZ2WsP7/3MUIu6Du+5W87R7+EIBZ82frb9vdvkSPU/0S0tKBjR8UiBDg6KjT427cVGvz69QpNv02bDCFvZETu3LmoVrc01eqWZvyCTnx87cbL+/apf+0AxQBQs2EZKluWpFxlM4zMfn0auX+C8JAYXOx8sf/gxYdXrrg7KZK8tHU1qVavFA1bVaJuc4u/ZJdPSkzm+rGXnNv9mLgYKa2612LQNKssZyX6nrDAKDZMPs7nVy607l2X8at7/1SVzJTkFLZOPc7DM69pP7QJEzYM+KUY+wNzz/D80ltGrelH8z71f3q7P5GjSy8SERTF0gvT1Dp43e18eHrxHb2mWClN1RcWGMX1I89p0d2SEuUVTujQwCjunn1Lq+6WFP1J38n/T+QI9T8diQQqVlQsM2dCdDQ8fJhhqrl4UdGvbt0Mc06lSuTNl4c6TStQp2kFhBD4uIfw0dqND6/deHj1IzfPvAVAV78A5aqYUb6KGWUrm2FqXoiiJvr/mMlGJpMTGhiFv1cYbo7+OH/1weWLLyGBUQDkyZMbixrFGTy5NTUblKFMJdNfEoSZkSYkcefMGy4deEpYUDS1m1Vg2OwOWc4Zqo5n12zZOf88ydJkpm0eQJs+P1fSNiFWysqhe7F9bM+geV3oP7PDLw2e5zbe5PKOu3Sd0JYeU/57yUWZ+fbZixv7HtJpTCvKW6ovr3Fs9TW0dDXpNVm5/su5nfeRpcgYMKN9+rqL+58ik8npk6qlJ0qTf8t5mmoWZVXVqT/VdzXTfssx/wlyhPp/DV1d6N5dsQgBX77AzZsKE82CBYqlZEmFcO/UCZo0QZI3L8VLF6F46SJ0GdSAlGQZnq5BuNj54vLVF+evvnx49SQ9fDFXLglFTPQxLl4Q42KGFCyii3ZanLpeAXT01MeqC5FaejcqQREtExVPbJSUiNAYAnzCCfAJI9A3gpTkjJBH42KGVKpVgnKVFYNKGQuTbGuY/wzxsVJunrTm8qFnRIXFUbVeaWZt7k+1+lnXO/+emMh4di84z9OrtpSvUYKZWwdh9oMSyWlEBEezuO92vn31YcrWwbQb3PiXzv/2occcXnSO5n3qM2Z9/z/iTeqvIoRg76yT6BhqMXhxD7V9nG09eHv3M0MWdFUK7wwLjOLuaWta966LcWryV2RYLHfPvqFF15rp5Y6XTTzxz3+RX0QikZQHzmVaVQpYDOgDo4CQ1PXzhRC3U7eZB4wAZMBkIcS9v3LsHKH+X0YiUZQnqFZNIcz9/RUC/sYN2LcPtm0DPT2FiaZzZ8VffX3y5M1NmYomlKloQvveimy9hLhEPFwC8fcOI8A7PPVvGC/ufiUmKuFvnaamVn6MixlSomxR6resiHExxWBRqoIxuvq/b7q1iJAYbp9+zdWjL4iNSqBWk/L0ndCKyrWzDxP9ng/Pndg87RSRodEMmtmBPpNa/3RMuI9rIIv7bCc8KIolJ8dTt23Wk1Sr48m512yfdJQ6VtWYeWD0f6pWjzpeXrXhywsnJm4bkmWC1bHVV9E11KbLaGX7+IXdD5GlyOk9sU36uqtHXpCUmELvsS0A+PLOnY/Wbv/cF/iLCCGcgeoAEokkN+AHXAGGAVuEEBsz95dIJBWBvkAlwAR4KJFIygkh1Cd9ZEOOUP+/hIkJjB6tWOLiFGaaa9cUgv7sWcXEIE2aZGjxmSpNamrlp2KNEmqrQ6Yky4iNTtO+FRp45jj1NIQQaGrlz6TVK2LVf9Wh+SsIIfjy5hu3T7/m1b2vyFLk1GtVib4TWlI+m2no1BEbFc/RtTe4dfwlxcoUZfHhGZT7hX3YPLJjzYj95Mmbm3XXZlAhC1NDVljfsGX9iL1UaVyBhacn/6fqoqsjSZrEgXmnMa9kRvvhzdX2eXvvMx+eODBqRS+lujfhwdHcOfWKlj3rpGvpUeFx3Dj+ioZWVShWughCCI5tu6/Iz3D8++frEx/M9I+7/v6OVGkJfBNCeGXz1tUFOCuESAQ8JBKJG4oJqF//6sH+27+aHLJGSwu6dFEsMpliMpAbN+D6dZg6VbFUrgzdukGPHlC1apb1afLkzY1+Qe0sJ9j+N4iJiufRZVtunbLG1z0EbT1NugxpRLt+9TD7ySzSNIQQPL/+gX1LLxMVGkOXEc0YNq/TT4cdCiG4uvcRBxadp4SFKUtOTfhh7fTvsXnwhdUDd1KuZkmWXZz208f+k7my4x5BXqGsvT1X7ZtOUmIye+efo1hZIzqPaqHUdmbrXVKSZfSdlKGln931EGl8IgOnKtbZvHDB4aM3k5Z04dSzf/a7qKGQRCLJnKm0XwixP4u+fYEzmT5PlEgkgwEbYIYQIgIwBd5k6uObuu7X+bcD5bNa/s8nH/2buLkJsWWLEE2aCJErlyLpqXRpIWbNEuL1ayFksn/7DNWSECcVT659EEtGHhIdy80WViVniKndt4uHl22ENEF9MsuP8PcMEQv67xJWJhPFJKt1wuWz1y9tnyhNEpsmHhFtDUaKZQN3/lJSURq2j76KjvrDxLi6C0R0eOwvb/9XsLYWYvVqxd9/gsiQaNG1yCixuMemLPtc2H5XtDUYKd4//Kq03sslQLQvNlnsmn8ufV2gb5joWH622DJHsU4ul4vJvXeJIa3Wi+SklD82+QjIB4QCRVM/FwVyA7mAVcDh1PU7gYGZtjsE9Pwr3yNHU///kdKlM7T14GCF9n7pEmzdChs2KAqQdeumcMY2bqww2/xLxMdK+WTtxvObn3jzyJ7EhGQKGunReXBDmnetRZlKf02ZSUpM5uqBJ5zacpfceXIzdkVPOg5p/EuRNpEh0awYsgf7N270n9mRgXM7/bIN/NNTe5b23IJpWSPW3prz04W9/g6vXyumAEhKUszi+OgR1P/NEZOn11xFGitl+Io+atsjQ2M4vfEWtVtVxrJlZaW2QyuvoVEgH/2nZ0T9nNp6HwkSBkzO0NJdvvoyeVm3X6p99C/QDvgghAgCSPsLIJFIDgA3Uz/6AZkzy8xS1/0yOUL9/3eKFIGRIxVLZKTC/n75Mhw6BDt3KipKdumiEPAtWyqkwD+ITCbH9asPH1648PGlC44fvZClyNE1KEDLbpY061ydSpYl/7IDUS6X8+zaB46tu0GQTzgN21dn7PIeFMpmTll1OLz7xpoR+4kOj2XewdE07V77xxt9x+fnjizusRmjkoVZe2suugV1fnkff4XHj0EqVfyflKSYqvd3CnXXj55c3/sAq2HNKGGhftA9ue460vhERi5XrtL46aUz7x7aMWx+Z/RTr4eXayCPrtjSdXgTCpvoI4Tg1O7HFDHRp1WXGr/vxP8Z+pHJ9CKRSIyFEKkz7dANsEv9/zpwWiKRbEbhKC0LvPsrB/wtQl0ikRwGOgLBQojKatolwDagPRAPDBVCfPgdx87hN6KvDwMHKpa4OLh7V6HBnz+vEPK6uoqEqB49FJE0mn+/9npESAzOX7xx+eKD21dfHD94ERudgEQioXQlE3qMbEaNRmWpXLvU39bIPr5w5tDKq3yz86VUJTNWnemXXpP7ZxFCcHnXAw4vv0xhUwM23p5N2Wo/N/VgZj48tmNpzy0ULVGIdbfn/U/nFvX0VPzNlUtRILRZs9+375TkFLaMO4h+ET1GrFSvpXs5+XP76HPaD21CiQoZlTBlMjkHll+liJkhXUdknNTxTXfJXyBfesTLh1euOH/xYdLSruTNlwfPb8G/5dy940IY/37fb9kXgEQi0QJaA5lnAVkvkUiqo6h/55nWJoSwl0gk5wEHIAWYIP5C5Av8Pk39KAqb0PEs2tuhGHnKAnWBPal/c/hT0dJSCO8ePSAxURFJc/myIprm9GlFmeEuXaBvX0Vmazblg0ERMulq50uAZyh+nqH4eYTgZudLsH8koIiNL16mKA2tqlCjUTmqNyiL3k9UPfwZPBz9Obz6GjaPHShiZsisHYNp1rXWL2v7sVHxbJpwhNe3P9GgYw2m7xiKtt6vh2S+ufWBlQN2YpZqctEvovfL+/ir7N6tGJ/r1FHcvubNf6+WfnXXfb599mLx2SloZ1FS+MiKy2gUyM/AOZ2V1j+7Zou7vS+zdw4hX2o9fdevvljft2Pg1DboGWohhOD0nscUNtKjddeayFJkrJh5Tt1h/nWEEHFAwe/WDcqm/yoUdva/feDfsgDmgF0WbfuAfpk+OwPGv8tpkcP/kORkIR48EGLECCEMDBROVn19IYYPF+LePUW7Gr6+cxdWJWcIq5IzRMdys8XIlmvF6kknxOWDz4Tde/d/pLKk00dPsWzYPmFlMlH0qDBLXNj9QCT+RYeqy0dPMaT6XNG+8BhxZc8DIZfL/9J+npx/LdppDxETGy4WUWExf2kff5U7d4SQSBS3TFPz9ztJQ3zDRJdCI8Wi7huz7GP/xlW0NRgpzmy6qbQ+OSlFDGuwVIxruVrIMjnql4w8JHpWXyhio+KFEEJ8fvtNWFnME9dPKU7+/rWPok31xX+so/TfWP5XNnVTwCfT57RwnYDMnSQSyWhgNEDx4r8WY5zD/4g8eRSVI1u1Uqh9Dx7AuXNw4QIcPgyFC0PPntCnj8LJmqoNl7IwZuWxUZiaF6KwicFfTv3/Gb6+cePs9nt8eOaEtn4BBkxvR5fhTf+SE1Iul3Nlz0OOrriCfmFdNt6ahUXt0n/pvO4df87WcQepWL8cyy/P+Ola6r+Lt28z/v8nbOn7555GliJj/Cb1yqgQgiMrrmBQRJeuY1optT288JYAz1CWHMlIuHKz8+XtIwcGT7dKv1Zn9z3FoKA2bbpbkpycwsn9TyljYcz9T7/ve/zn+V2jA9lr6jeBRpk+PwIsf9eomcMfQHy8EJcuCdG7t0INBCFMTISYMkURJvkXNdufJSkxWTy7ZitmdFXUOe9bdZ44v+uBiPsLIYZp+HsEi5kd1ou2BiPF0gE7/5ZmfXXXPdFGY6CY13GdSIjLuk7+P4m1teLW5M79+zX1D4/tRBuNgeLEqstZ9nlz95NoazBSXDvwWGl9ojRJDLJcJKZ02KD0BrR01GElLf3jazdhZTFPXDz8XAghxI3z70Sb6ovFuxcuOZr6v6Cp/7ZwnRz+UDQ1M2rSxMYqomjOnYM9exTlCszNFQ7YQYMUJYZ/EyH+Edw5+Yo7p6yJDI2haDFDxq3sSdu+9f9yAo8QgrsnXrJ/4TkkklzM2DWMVn3r/6UaLEIIji+/xOm116jfsSbzT078RzNss6N+fUX44tOnCufo79LSU5JT2DXtOMalimQ5RV1iQhJ75p6leDljlVo4d06+IsQ/gmmbMurcuNn58uahfbqWLoTgyJZ7FDbSo1P/eiQlJnPm4HMqViuGZcOfr+mTHZ5xoYx4fei37Ovf5H8l1K+jyKI6i8JBGiUywnpy+L+GtrbCgdq3L0RFKZyrp07B6tWwcqXCSzdokKL9FybhTiMlWcbnVy7cOWXN63tfEHJB7ZaV6DS0MTWbVvhb9VIigqPZOvU4b+9+plrj8szYNYwiZn9tEoaU5BS2TTzC/ePPsRralMk7hv3r84rWr//7Y9Jv7n+Ej7M/yy5NJ5+G+oH0wva7BHqFsu7aDKUKoHHRCZzdfp8q9ctQvXF5QDEQHlp7C12DAnQe3BAA64f2uHz1ZdrKHuTLn5cb598RGhzNjGVd/9MFz/4Rfoe6jyIOMwBIRmEvHwGMBcamtkuAXcA34Cs/ML386qtQDv8R/PyE2LhRiKpVFeaZPHmE6NxZiAsXhEjI3kwik8nEZ2sXsX3OWdG78lxhZTJR9Ko4WxxceVUEeIX87VOTyWTi9tFnokfJyaKj0Vhxadd9JYfdrxIfkyDmd16vMEmsvPSXHat/OlGh0aK78Rgxp/2aLL9jgGew6GQ8TqwesU+lbf/SS6Kd6SSlTN63j+yFVckZ4urRF0IIIVJSZGJUh81iVIfNIiU5RSQlJYsBVpvE1CEHhFwuF8FBUTnml99tfhFC9PtBuwAmZNcnh/8PMDGBGTMUy5cvcOKEQoO/fl0RI9+7t0KDb9gwvQ6Nl0sAd05a8/LWR8ICo8ivmY96bSrTtEstajW1SA99+zu42/mwY8YpHN9/o0qDckzcOEApfvpXiQyOYlG3Tbh99mLq7hG0G9bsb5/jn8qemSdJiJEyZt2ALDXmvfPPkSt3LkYu66m03sctkGuHn9G2Xz3KVlUERqQkyzi45iamJQvTob/ileLxjU/4uIewYGt/cufJzb3LNoQERjFlYScAls45/w9+w/8eORmlOfw7VK2qKEmwdq3C0HviBJw8Cfv3K6pHDhoEQ4cS4BnD7ZMvsWxekaada1K3dWU0CvyerNaEWCnH11zj2v7H6OgXYObuYbTs89ds52n4uASwqNtGwgMiWXJ+KvXa//EZj38Z6+s2PD5rzaBF3bOcO/X9g6+8ufOZEUt7UNhUeZai/UsV8epD5nRKX3f37Bt8vgWzeN9Q8uTNTVJSCid3PqRsZVMatq5ESrKMs4deUK6SKZYNyvDqmTOuTjmW3MzkCPUc/l1y51YkL7Vpo3CqXr6sEPDLl8Py5dRp0ZKLy4aSr3fP31aiQC6X8+zKew4vvUyIXzjthjRh+OLuf7vuiu3Dr6wauJM8+XKz/u48KtT5PQ68P5G4qHh2TDlG6Wol6Durk9o+Kckp7Ft4HtMyRek6VjmE0fapIzZPHBm1uBv6hRTlABLiEjm1/QFV6paiXqtKADy4bEuwfySTl3VDIpHw5M5XgvwjGT+7PULA8QNPMSteULm+4V/EIzaMwS+O/v0d/cv8tyvw5/B/C21tGDxYEfvu6QlLl5LL1YV8gwcqioxNnw729n/rEF9eOTOl9WrWjTqIrqEWm+/MYcqWQX9LoAshuLLzHgu7bKBIsYJsf7Hs/7RABzi8+DyRwVFM2z0iy7rvd0+8xNc1kJFLeyo5R2UyOYdWXsWoRCE6DWuSvv7q0RdEhsUybLZi6r+kpBTO7X9KxRrFqdmgDLIUGWcPP6dUOSPqNinHi8cOeLqHMGhEE3WH//+Xf9uo/zucFjn8HyYlRZGp2rOnEHnzKhys9eoJcfCgEDE/Hzfu7ewvlvTfIdoajBQDKs0SD868+luO0DSSEpPF5nEHRRuNgWJJz81/qfTufw07a2fRRmOg2DPzRJZ9YqPiRZ9y08TMDutVHKj3z74WViYTxdOrNunroiPiRI+qC8TSUYfT190880ZYWcwTtq9chBBC3L5kI9pUXyxePnIQKSkyMbLfbjGy326RkiLLcZT+bkdpDjn8Y2Q2z4SEKEwzBw8qqkpOnarIXB05UjHxthpbuL97MOe23uHBGWs0CuRn2OLudB3T8rdMQhEVGsOKftv4+tKZfnM6M3jx/2PvrMOjup4G/N64u7sSwUOQIMHd3d2dtkgp7lqsuLtrcJKQhAQJCRAsIRDiIe6u9/tjUwoF+qukX23f57nP3j1n7j27ZzezkzlzZnr/48vP/S9KS8rYPGU/Bua6DF/U54tyZ7bcICs1lyUnpn60RlFcWMKhtVepVscC924u79tP77xNQV4xw7/pAPCRlV7XzY6iwhKO7vLFqaYZjVs64uv5kpioNOYt6/Wn7k7+JyKdDSn/HPT1f3LB3LsniZY5cUISeF23LuzZI8ku+QG3jt/l9pkHdBndgv2PVtB/RscqUeivgt4ytclCwoMjmXNgIiMW9/3XK3SA85uvExOawORNw1FWU/qsTNzrRM5tvUXLvg1xcPm4Puylfb6kJ2Uxev5P8eXpydl4HAqgZfe6WDkYA3DjTBCpSdkMntwaQRDwOCWJSx89vS0VFSJH99/BykafZq2c8fOtglp2/yKklrqUfx6C8NMumk2bJIp92zZJbdbZs2HkSJg0Cezs6D2lHd3GtkLHsGoyIYqiiMdOL3bPOYausTbrPefj8Btrkf5TSYlL59jqizTuWu+LUT2iKLLlm6MoKiswblm/j/pyM/M5vc2LBq2rU8vN/n37qe3elJdXMHi6pABGfm4Rx7Z7U6uBNXXd7MjPLeL0wQBcG9tRs54Vd7xDiYtJZ96yXhQUFLNxw40qeX9RuekM8vlSotl/Dv9+00LKvxt1dYkyDwkBf39o3x5++AHs7aFjR9Tv+qKjVzW1VQtyC1k1bBvbvz6MS5uabL2/7D+j0EVRZMc3R0CE8esGf1HO88Q9nt99zejFvdE2+DhH/JH1VynMK2LE3J9S7sa9TeHaiQe079sAk8oC06f2+JKTWcDY2Z0QBIHzx+6Tm13IiMmtEUWR4wf9MbPQpWlLJ86fDSI3p/DPedP/UKSWupR/B4IATZtKjsRESbz7rl2Soh7W1jBxIowaBbq/b8t/1Is4lg/awru3yYxa2o++33T+T7hbfsTzqD/3Lj9izIoBGFnqf1YmKy2XPQvO4NzQjvZDm37UF/E8jquHA+gywh1rJ8nGLlEU2b38EkrKCgz9WuJLT07I5OLhe7TuVhc7Z1Nysgo4f/Q+TVo5Ye9swn3/10RGpDBrQTfy8oo4e+YhzdwduF0Fhaet1XU53nLYr5I9wfA/PuCfxH/nWynlv4OxMSxaBDExkqpN5uYSt4yZmUSxv3jxv+9RiSiKXNvvw3T3xRTkFrLmxlz6z/rttUj/ySTFpLLjmyPUbOpAr+kdvyi3d+EZCvOKmL5x6EfzU1FRwda5p9HUVWPozE7v24N8wgj2C2fwtHZo6Ur+mzq02RNBgOHT2wJw+mAAhQUlDJvU6r2VbmSiRct2NThzKpCCgmJGjPx7hjQKgqAlCMJZQRBeCYIQJgiCmyAI6yqfPxME4YIgCFqVslaCIBQKghBSeez8veP+d76ZUv57yMtD377g5ydJSzB8uCRzZM2a0KmTpFinKH7x8qKCYr4ft5vNk/fj7GbPtvvLqdXM6f/xDfz1iKLIpkn7EEWYuXf8FyNNQgMj8Dp5n95T2n2SYsH7bBDhT6IZNa/7+0pRP6YDMLPRp2tl0q63Ye/wuRJCz2FN0DfWIisjD49TD2nZsSZWtgbcuxNOeOg7Bg5vSn5eMRfOB9OqdXWsrD//n8PfgM3ADVEUHYHaQBjgCdQQRbEW8BqY+4H8W1EU61QeE37voFL3i5T/BjVrws6dsGKFZOfqDz9ICmm7uMDMmRLlL/fxn8PivhsJ8QllyLyeDJrb4z8ZOnfzkB9Pbr9kyubhX3S7VFRUsOO7k+gaazHgq04f9RXkFXFglQcOda1o1fun4tw/pgNYtHvk+9qzhzZ7oqahTJ/KzURnDt2ltKSMweOaU15WwYGdPphb6tKuU20OHLhDcXEpg4c24fWbpCp5r5E5GQy4daxK7iUIgibgDowAEEWxBCgBbn0g9gD4clzo7+S/9y2V8t9GVxfmz5e4ZnbvloRADhoEtraSSJrc3Pei/Wd2ZdmFbxg6/78ZC53+LpPd356gZlMHOo9p9UU5r5P3efMkhlGLen8S5njqh1tkpuQwYelPMfz5OYUc2XyLWo1sadjaGYAXj6IJuhNO3zHuqGkok5WRx+XTQbTsWAszSz08rz8jNjqNkRNakpdfxMXzwbRo6YypqTZLVlz68ybhy+gJghD8wTHuZ/3WQCpwQBCEJ4Ig7K0sRP0ho4DrH15TKesnCEIzfi9/9e6nLx3SHaVS/l8oLxdFDw9RdHeX7FbV1BTFOXMkaYL/w1RUVIgL+2wQu2iNFOPfJH5RLi+7QBzg8LU4ve3KT3bovotOFbtYzRDXTTv8Ufv+NVfFDtbfiK+fxb0f65vBO8VB7ivf16rduuqK2KHeYjE+Ok0sKiwRB3bbJE4dvU+sqKgQ9+3xEVs1XyFGRaaIl68+EVu0W/2321EKuAJlQMPK55uBZR/0zwMuAELlc0VAt/K8HpLynxq/533898wPKVI+REYGunaV+N0DAyU7V9etk2SKnDIF4uL+9z3+hfiff8iDK48ZtrA3pnZGX5Q7sPQ8Wam5TFw94JPF433LLyInJ8PID0IYU99lcfHAHVp2d8G+phkAwf6vefk4hoETW6KkrEB8TBpXzwXTsacLppa6XLnwSLLxaFIr8vKKuHA+GPfmjpiYanPk+D2cHI3/nEn4Y8QD8aIo/lgZ9izgAiAIwgigCzC48gcCURSLRVFMrzx/hKT2xO8qESZV6lKk/EiDBpJomTdvJInFdu0COztJOGRs7F/96v7fyM3MZ8fMI9jVtaLX1A5flHt2N5wr+33pMb71JztHXwRGcPfaU/pOaouu0U8bv45uvkWFKDJ8puS+FRUVHNrsiaGpNu17uQKwf4sXCgpyDJ3QksLCEk4duUfd+tbUdrHiwvlgCgpKGDKsKddvPiclNZeRw36/p+LPQhTFJCBOEASHyqbWQKggCB2A2UA3URQLfpQXBEFfEATZynMbwB6I/D1jSxdKpUj5OTY2En/7vHmSfO/79kmOkSNh7lxJvdV/KWJltEt2Wh5Lz8/8Yvm9ooJiNk0/jLGVPsPn9fior7ysnF2LzqNrpEWvCT/54qPDE/E6F0SPkc0wrMyt7nnhMW/D3jF7bT/kFeR4GRLL3dthDJvYEm1dNU4fvUdWZj7Dx7YgL7eI82eDcGtsj7m5DnMXnqW6symuLlZV8t4jszPof/1EldyrkqnAMUEQFJAo6JFAEBJXi2dlmoQHoiTSxR1YKghCKVCBpGpcxu8ZVGqpS5HyJSwtJZEyb9/C2LFw8KBkp+qYMRD5u4yovz3XD/gScDGIkUv6Yl/X6otyR1Z58C4yhRmbh6Gk+nGe+8sH/Yl4HsfYhT1QqsyzI4oi2xdfQEVdif6TWgOQn1fEwU03cXaxpEXn2oiiyN5Nt9DRU6f30MYU5Bdz+ug96rvZ4VzTjJMnH5CbW8SIke5cvfGM1LRcRgxpQnBIzJ82H38EURRDRFF0FUWxliiKPURRzBRF0U4URXPxZ6GLoiieE0WxemWbiyiKl//IwH/LQ7pQKuVvR1ycKE6dKoqKiqIoKyuKo0dL2v4lxITFi121R4nfdl79i2mJXwVHih11x4qbvzr8SV9KQobY0/4bcf6Q7R+l3L198ZHYwfob8eqxe+/b9q67JnZ0/k58/SJeFEVRDPAOFdvVWSheOydJyXvswB2xbaOlYnhogpiWlit2bLdGXLHsolhcXCr2GbRVnPLVEbGgsFjsMXzb326h9K88pJa6FCm/FjMz2LJFYqVPnixJA2xvL3HJZGX91a/uD1FeVs76sbtRVFFg1t7xX9wxW15ewQ8zj6JtqMnoxZ+GWO9efJ6K8gomr+j7PgtjYX4x+1Zfwb6GGe37NwQgKT6Di0fu0aZ7Xeyrm1JeXsHBrd6YW+vRrlsd8vOKOHv8AY2a2lPNyYSjRwIoK6tgxCh3btx6TlpaHiOGNMXjxlPSM/I/eR3/ZaRKXYqU34qJCWzeDOHh0KePxO9uawsbN0Jx8V/96n4XZzdeIzw4kskbh6NjpPVFuasH/Ih4Gsu4Zf1Q1VD+qO+RXxgBV0PoP609RhZ679tPbfcmPTmHCYt+2sB1cNMtZGVlGFaZDsDn+nNio1IZPrEVsnKynD3+gLzcIoaOaU5iYhZXL4fQuUsdDAw0OH76Ac5OJjg5GXPs3ENca1tW/YT8g5EulEqR8nuxspJY619/DXPmSB63bIHly2HgQEm45D+A6NB4jiw/T7Oe9Wnep+EX5TJTcji0/AJ1mzvh3tP1o76S4lJ2zDuDqbU+vT9YHH0Xk8a5fX607lkP53pWALx6GofftWcMnNASPUNNSkvLOLLTBztHY5q0diItJYezx+/Tom117B2MWbPqMrKyMgwe2gRP75ckJ+cwY0o7LlwLISu7gFGDm7Bx+R+fh8isDPp7nPzjN/qL+Wd866RI+TtTty7cuiU5tLRgyBBwdQVv77/6lf1PysvK+X7sblQ0lJmyafhHVYp+zu4FpykuLGHS2kGfyJ3b4U1CVCoTV/RFQVH+ffvelZeRk5Nl5GxJ+gBRFNm77hpauqrv0wHcvPiEpIRMRkxujYyMDAd3+1JRITJyQkuio1Px8nxB9x710NJS4djJB9jbGVKjuiknzj+kYT1rajia/gkz889FaqlLkVJVtG0Ljx5JinbMmwdt2khyymzYIPHH/w059f0VXj+OYt7RKWgZfLmQyN0rj/E5E8jgWV0wt/94M1JyfAYnf7hF0851qNf8p4RnT+6+4b7nS0bO6oRuZZGSB7fDePk4hikLu6OiqkhBfjHHdvtSvY4Frk3siIpIxvPaU3oPdMPYRJuli8+jqCjPwEFuXL/1nIR3mSxf3IuL10LIyS1i1KAmbNp/u0rmwkZLh1PdBvwq2dMMrJIx/wyklroUKVWJjAwMHgyvXkncMFeugKMjrF0LJSV/9av7iOcBrziy7Dwt+jbCvfeX3S5Zabls+footrUsGDiz8yf9+5ZdRADGLur5vq28vII9KzwwMtehxyjJ5qDysnIObLyJmbUeHfpI3Dcn9/uTkZbH2K/aIQgC+3f4oKqmxMDhTYiMTMHP9xW9eruipCzP4aN3qe5sSp3aFpy6GEwjVxtUVRU5f+NJ1U7MPxypUpci5c9ASUlirYeGSiz2OXOgTh1Jut+/AZnJ2awcug0TGwOmbxv1RTlRFPnh66MU5BQya/so5OQ//uf+yZ1X+F95Qt8pbTGo3FAE4HU2iKhXiYyc3em9O+b62SDiIlMZ8VV7ZOVkSYzP4PzR+7TuXAunWuY8exJD4L03DBjWBHUNZY4cCkBVVZE+/RpyweMxael5jBvVHI+bT8nOLWR4Pzf2n76PvPznN0j9V5EqdSlS/kysrODiRYnFXlwsSfc7cCAkJPxlL6m8vILVI7aTl5XPvGNTUVFX/qKs77mH3L3ymKFzu2Hl/LHvujC/mM2zT2BqrU+fCa3ft+dmFXBg/TWc61nRrFNtALIy8ji0yZPaDW1oXJmZcc/GW8jICIya1hZRFNm33Rs9fXW696nP27cp3PF7Rc/ersjICBw/+YCG9W2oVs2Ik+eDcK1jibKKPF53w+jTyeVPmKV/LlXiU6/MZ7AZkAX2iqK4+mf9I4B1wI/f5K2iKO6tirGlSPlH0LkztGolccOsWiVR8uvWwfjxklJ8/4+cWH2REN9Qvt41FpuaFl+Uy0jOZtvs4zi62tB7SvtP+g+tuUJKfCZrz09HsXLnKMD+NVfJzSpk0pKe7xdUD226RWFBMRPndUUQBJ4FR3P3dhjDJ7VCz0CDu36vCHuRwFdzu6CoJM/e3T6oqSnRp28DTp19SG5eEWNGuuNx4ymZ2QUM79+YfafvoaykwKBu9ZlUBfMSmZXJgPOnquBOfy1/2FKvTEKzDegIOAMDBUFw/ozoKfGnrbFShS7lv4eysqTM3suX4OYmSRTWvv3/a7KwVw8jOLbqEq0GNKb9sF8uA7fj2xMUF5bwzbaRn+STD38Sjcd+PzoPa0qNBrbv20MfRXPjVCA9RjbDttKyf/MygZvnHtF9cGMs7QypqKhgz8ab6Btp0ntoY8nGo92+mFlICmA8Co7iYeBbBg9pTEWFyNkLwbRs7oiZmQ4nLjykTg1zVFUV8X3whn6dXXj6+q/7r+fvSFVY6g2ACFEUIwEEQTgJdAdCq+DeUqT8+7C1hZs3JUnDvvlGUpVp0yYYMeJPtdqL8otYM2oneibaTNn0y4WTH9x4iv+lRwyf1+OTaJey0nK2zD6JjqEmI+Z2fd9eXlbO1gXn0DPWZMj0doDEJ79z5WU0dVQYNEkSv37n1kteh75j5tKeKCrJ43XjGTGRqcxb1gtBRmD3rtsYGmrSo6crB44EUFJSxoghTTl35THpGfksmtmVg2fvo6KsQLfWtRi+4GiVzI+NljYne/X/VbKn+HVRMn8FVeFTN0WS0P1H4ivbfk7vymKrZwVBMP/cjQRBGPdjJZHU1NQqeGlSpPxNEQSJ6+X5c0mc+6hR0K0bJCb+aUPunnuCxMgUZu0bj2plrdDPkZ9TyNaZx7ByMqXP1E/dLhf2+BAZmsDE5X1Q/cAf73HoLlGvEpmwoAfKlUm+fK48JfRJLCNmtEdVXYmSkjIObPXGppoRrTrVoqS4jMN7/LCxN6RZK2e8vV4S8SaZUWOak1dQzEWPx7Ru6Yy2jirHzgbSyNUGDQ0lfB68pm8nF67fCyMrt7DqJ+sfzP/XQullwEqUFFv1BA59TkgUxd2iJKuZq77+37aYrBQpVYe1tSQiZvNmyWal6tUlxbGrGL+zgVzdc5ve0zv+z+LZW2cdIyMpixmbhyGv8PE/84kxaRz7/hpuHWrRpGPt9+1pSdkc2XQT1+aONG5fA5AspO7//gb21U1p21OymHnl9EOSEjIZ81U7ZGVlOH8qkKR3WYyd0oay0nL27/PFvpoRrVpX58TpB5SUljFscGOOn3tIfkEx44c24+DZBygrydOldQ2OXw2mSV2bKp6tfzZV4X5JAD60vM34aUEUALGyokcle4G1VTCuFCn/DmRkYNo06NABhg+HAQMklZg2bgRFxf99/f8gOjSeDRP24NzInhFL+v6irM+5QHzOBDJkTlccXT9WlqIosn3eaWRkZZi47ONkXntXXqastPyjxdEz+++QnpLDdxsHIiMjQ15uIcf33qGemy31GtmSkZ7HiUMBNGpqT70GNpw5HUhKcg6z53QhMzMfjyshtGtdHWUVBc5efkRrdydk5WW5fT+cwT0acD0gjJz8Isb1acyGWX94mojMzGTgmdN//EZ/MVVhqQcB9oIgWFcmgx8AeHwoIAjCh/WmugFhVTCuFCn/LqpVA39/mDlTkse9WTNJgew/QH5OIcsGbEZZTYn5x6Z+Ynl/SGp8Blu/OYajqw0Dv/l0k9Hda08J9glj6KzO6Jtov29//vAtfldC6Du+JcYWupJ7JWZx/kAAzTvVwrmuJOHWkZ2+5OUUMboyidehPb6UFJcxbmpb8vOLOX70HvVcranrYsXhY3cpL69g6OAmHD0bSFlZOaMGNuHw+UAUFeTo0qomJ68/ormrHcVl5X9ojv5t/GFLXRTFMkEQpgA3kYQ07hdF8aUgCEuR5Bz2AKYJgtANSSHWDGDEHx1XipR/JXJyklDHxo0lC6cuLnDsmMSK/42Iosj343bzLjKFNde/RfcDRfxzKioqWD95P+XlFczeNfqTikc5Gflsn38GG2dTuo38KWqmvKycHYsvom+sRd8JLd+3H9h4S5K/5SuJTz7qTTIepx7SsVc9bB2MiYxI5ublELr3qY+ZhS6HD/qTk1PI6DEtiIlN48r1p3Tv6oKsnAwe15/SsU1NSsvL8QwIo3/nety6/4rcgmKGdavP3B3XfvPcfA4bbW1O9O33q2RP8usWVP8KqsSnLoriNVEUq4miaCuK4orKtoWVCh1RFOeKkqoetUVRbCmK4quqGFeKlH8tPXtCcLAkZ0ynTrBkCVRU/KZbnN10jbuXghm1rN//9KNf2OHFU/9wxq/oj4m1wSf92+adJjczn683DvlI4f+4ODp2Xtf3VY5CHrzF50oIvUc2xdBUG1EU2brqKqpqioyc0hpRFNm1xRNVVUUGj3InO6uAM6cDaebugIOjMbv3+aGsJM/wwY05fPo+AMP7u7H7xF2UFOXp2aE2J68/wr2eLWExqSSm5/ymefn/QhCEaEEQnguCECIIQnBlm44gCJ6CILypfNSubBcEQdgiCEJEZUDJ795RJd1RKkXK3xV7e7h/X1IEe/Fi6NEDCgr+11UAPA8IZ/+C0zTtUZ8+Mzr9omzMq3ccXHaBRh1r02Fo00/6/S8/4Y7HYwZ91RHbGj8lJkuMTefQ99dp0NKJph1rAVBSUsbWpZcwNtdhwHiJ5e5z4zkvnsQwamobNLRUCLofwZOgKIaMdkdDU5kTx+9TVFTKiFHuhDyL5d6DCAYNcCO/sIRrXi/o2r4W6Vn53Hn4hkHd6nPzXji5BcUM7daAA1cCqW1v8uvm86+hZeXenB9zFX8LeIuiaA94Vz4HyT4f+8pjHLDj9w4ozdIoRcrfGRUVOHAA6teHqVMlaQYuXwY9vS9ekpOey+oR2zGy0ufrXWN/MZ1ueVk56yfvR0VdiRmbhn0im52Rx7Z5p7GvbUG/yW3et4uiyA/zzyEjJ8OU5b3fX3du/x0SotNYvnsEikryFBWWsG+zJ3aOxrTv4UJ5eQV7t3ljYqZDl16uvHuXycULwbRpWwNLSz3WTD+Cnp4avXvUY8NOL2RlZRjSpxHLtl1HS0OZrm1qMujbQzR1sSEsOpmUzDwWj+nAvnl/cJ6BqIxMBh0/88dv9Mt0B1pUnh8CfIE5le2HK0vlPRAEQUsQBGNRFH9zjKvUUpci5e+OIEjK5509C0+eQNOmEB39WdHysnJWj9hBdmoO3x2Z8kl1op9zatN13jyJYfK6wWjpa3zSv2vROfJzCvnq+8EfuV28LzziScBrRs3qhL6xFgCJcRmc3OVLs/Y1qNe0GgBnDt0lLTmHCbM6Iisrg9f1Z0RHpjJqQkvk5WXZvfM2srIyjBrTAv+7r3kVnsiIoU1JTc/jls9LuneoTUxiBsHPYhjWqxHXAkLJyStiSJcGHLz6kLoOppQj/r55/WPo/binpvIY9xkZEbglCMKjD/oNP1DUSYBh5fmv3e/zP5Fa6lKk/FPo1Qs8PSWblNzc4Pp1SebHD9gx8yiPvJ7z9c4x2Ne1+sXbvbj/mqOrPWjRuwHuPVw/6X9w6zk+54MZ8k1HrJ1+cnFkpeexZ4UHzvWs6DTYDfhp56isrAzjvpVEzqQkZnH6YADu7apT08WS4qJSDu3xw8HZhGatnAh5EoP/nXBGjnJHR0eVvQfuYGGuQ4e2NVn6/RXk5eUY2Ks+89ZfxkBXnXbNnBj07UEa1bLiVWwyqVn5LBjdnoUHb/6xea3EWkeb44N+OeTzR04MJu0Dl8qXaCqKYoIgCAaApyAIH60liqIoCoJQ5b9IUktdipR/Es2aQUCAJErG3V0Sz17JpR2eXN7lRZ8ZnWg/vPkv3iYrLZdVY/ZgbK3P1O+HfNKfl13A1rmnsHIyod+Udh/17V7uQUFeMdNW9nlfoPrB7TAe+oUzZEob9CoLYuzb7AnAmMqUAWeO3yctJYexk9tQUSGyY5sXhoaa9O3fkBuez4mLz2DMyOaERyThExDOgJ6uhEem8OL1O0b2ceO891MycwoZ3r0Bh64F4eJgxtvEdNKy/56Fp0VRTKh8TAEuIEmpkvxjiHflY0ql+P/c7/NrkSp1KVL+aVSvDvfuSSJjunSBhw+5ffIeO745QqMuLoxa/svhdqIosnHqQXIy8ph3YMJnXTT7VlwiMyWHr74f/FFs+2P/1/hcekz/ia2wrMwJU1xUyq7VV7GyN6RbpeUe+jQO35sv6DO0MYYmWiQlZnHy0F2atXSiloslnreeExGRzNjxLREEgUNH7uLkaEwTNzu2H/BDR0uF/j3qs/fUXUyNtGjsasOxq8E0d7XjTXwaaVn5DOvkyoGbQdR3+GzWkb8UQRBUBUFQ//EcaAe8QLKH58fEO8OBS5XnHsCwyiiYRkD27/Gng9T9IkXKPxNzc/DykljuHTsS32Yatdwd+e7w5E8yKv6cy/t8Cbz5jImrB2BT41OF+PjOK24cu0fvCa2pVvun1LwlxaVsX3QeE0s9+k38qbj02X13SE7IZM3BMcjJy1JeXsGOddfR0VOn30hJNM3uLZ6SdDfT2lJUVMr+fX44OZnQoqUT5y4Ek5qWy7ezOnM/OJJnofF8PaENj17E8joqhflTOnL8WjBFxaWM7unGV1suUsfelIjEdDJzC5nYzY3d3/zxKY1Kz2To4SpbKDUELlQuIMsBx0VRvCEIQhBwWhCE0UAM8GNg/DWgExABFAAjf+/AUqUuRco/FRMTiY+9aVOG+u+ixNP7o7zmnyM6NIE9C05Tv21Nuo1t9Ul/dkYe3884grm9EUNmfhwKeWanDwnRaaw4NO59NaOk+AxO7/XDvUNNajWQpBW4ejaI1y8TmLOiN8oqijx6GEmA7ytGjG+BgZEmRw8HkJ6Wx4KFPcnPL+boyfu41LGkdk1zRk47iJmJNp3a1GTsd8cwN9amdnUzVh30pENTZ15EJ5GSmcesIa1YesyLRk4WPI9NrqIJrToqs9bW/kx7OtD6M+0iMLkqxpYqdSlS/snY2ICnJ4K7O4pdO0v87Safj9suLixh9dg9qGmq8M3WEZ+EL4qiyOaZx8nJLGDZkYnvNxMBvA1N4OR2b1p0q4tLs2rv5bcsvoisrAxjZnUEID0lhwNbvanb0IaWHWtSWlrO9g03MDHVps9ANzIy8jh54gFNm1WjZi1ztu3yJienkAljW3Lj9kui49JZOqcbdx+9JSI6lYXTOnHE4yEVFSLDuzdg2obzVLcxIiolg6y8Qvq3qsOcg1Wzo9RaV5sjw37dQunRX85c/Jci9alLkfJPp3p1SSRMaqrEx15U9FmxfYvPEh2WwDfbRn42fPHWyQfcv/mcUXO7YlP9p01GpSVlfD/zJOpaKkxc1ON9u9elJzy5F8Gobzq8D2vcveEmpSXlTJ3bBUEQ8DgbRFxMOhNmtENBUY4jhyX50ceMa0lcfAYXLj2mU/taWFjosv/EXZyqGdO4vi07j/ljba6Lo50RHn4v6NGqFoEvY3iXlsPwTg044vkYN2dLAt/EUVouzf3yIVKlLkXKv4EGDeD4cUkc+9dff9LtczYQjz0+9BjfGtfWNT7pT45LZ9eic9RuUo3uY1p81HdquzdRrxKZurw3GtqqQGVY45qrOLtY0ql/AwBCHkbie/MF/UY0wdRSl+ysAo7uv4NrQ1saNa1GXGw6Vzye0LlrHczNddm9zxcFBTlGjXDn4rUnpKblMn6YOx7ez4hPymLS0OYcvvwQORkZBnRwYd/lQOo5mhGblkVWXiF9WtTibMAzujb4XKG1/y5S94sUKf8WunaVZHhcvx6aN4f+kiiYF/dfs2HKQWo1dWD0kj6fXFZRUcHGr4+BIPDVhsHvwxThJ7dLy+4uuLX96cdg1+qrFOaXMH1JT2RkZCgtLWPb6msYmWrTf2QzAI7s9aOwsIRx09ogiiLbfvBEWVmBocOaEvI0loB7bxgz0h1FRTmOngnEtY4lDnaGLNh0mXo1LDAz1uK6fyj9O7jgGfyajJwCVk7sxLf7rtPA0ZzA13FUVIgMalGXJVUwfVFpmQzb/6fvKP3TkVrqUqT8m1i5UpLhccwYeP0agNysAiydTFhweOJnU+9ePujP03tvGL+4F4ZmOu/by0rL2TDrFBpaqh+5XYL9X+N79Sn9xzXHwlaS/OviiUBio1KZOLsjikryxESlcuXiIzp1d8HKxoC7Aa8JCopk+IhmaGmpsn33bQwNNOjT05UzHo/Izi1k7NBmHLsURFZOIZOGurP/wgPk5WXp3qomh68F417Hltfv0knPKaB381qcu/ecrg2dWXPJ7+dv6T+N1FKXIuXfhLw8nDwpKZHXrx88fIhbxzo0bF/rIwv8R+LfpnBgxSXqt3Km3YBGH/Wd2uFNZNg7Fu4agbqWpPxdUUEJW5dewtxGn37jWgCQlpLD0Z2+NHJ3oJG7w/ssjMrKCgwb05zi4lK2b/XC2lqfHj1dueX9gjcRycyb05W8gmJOXHhIs0b26OmocfJyMG2bOqGkLM+te68Y2Kkel++Gkl9UzOiuDfhq12Vc7E0JiohHrBBxdTDj7LEXVTJ11nraHB716xZKj4yukiH/FKSWuhQp/zbMzWH/fnj6FLZuBfisQi8tKWPdtEPIK8oxfd2gj6JhYl4ncXKbNy261v3I7XJ8522SEzKZtqQnCpVW/56Ntygvr2DCLEnOd3+fMIIfvGXIKHe0tFU5dfIBycnZTJ7WlrLycvYf9MehmhGtWjix50gApaXlTBjRnANn71NeUcG4gU3YcSoAJUU5OrtX57TXE9o1dCQ4IoHUrHz6t6zDhfsv6NrQidP3nmGgofpnzuY/DqlSlyLl30i3btCxIyxdKomK+Qz7V1zidUgsM9YPQtdI8317eXkFm+aeQUVNkfELu79vj36TxPmDAbTrVY8a9awACAmKwvfGc/oOb4KxmQ75+cXs2HgLW3tDevRtQEpKDieP38e9uSN161px/uIjUtNymTCmJRFRKVz3fk6vzi4gwBXv53RvW5uUrDz8giMY0qUBl/xfUFpWzuD29ThwI4jG1a14Ev2OiooKXOzNeBz1jjFtGvypU/lPQ+p+kSLl38r330PNmrBwoaQ83gfcv/mMi3t96TaqOU061fmo79weX149iWHWhoFo6aoBEkW/ZdFFVNWUGPWNxCIvKixh0zIPjM116F+5c/TQbl8y0nNZtLovsnIy7N3tQ0WFyPgJrcjOKeTYqQe4NbSldi1zps87hYaaMsP7u7F+jxfy8rIM79WQOZs80NdWo11jBwYsOEzHxs74PH1Ldn4RQ9q4MH3vJTq5OnLq/jMMtdSQkftyauHfQnRqJiN2SRdKpUiR8nfFyUmSsnf3bnj27H1zcnwGG746in0tc0bP7/7RJW+ex3N4ww2adapFy+4/Fd85fzCAsJBYxs/tgmZlWOORnT4kxmUwY0E3lJQVeP0qEY+zQXTp6YpjdVNePI/D2+sl/Qc0wshYiwOH/SksLGHsqOb4P3hDyIs4Rg9uQmJqDl53X9Gvcz1CXifwIiKRcX0ac8LzCWUVIr1a1uKY92PauVbj3usYSssqqGtvxtPoRIa41+X76wH/P/P5D0FqqUuR8m9m0SI4ckRSOen8ecrLylk7+SDl5SLf7hj5frs/SCzvtV8dQ0tPnanL+7z3scdEJHN4iydN2lanZRfJzvc3oe84f/Q+HXvVo059ayoqRH5Ydw1NLRVGTmhJRYXI9q1e6OmpM2CQGxFvk7l8NYTuXV0wM9Xhu5UXsTLXpUv72ny75gLqqor06+zC2CUnsTXTo14NC1Ydu03XptW5ERROSWkZA1rVYcL287R3qcb5hy8w1lYnvaCQgpKSKpkqK31tDo7/dQulhyZUyZB/ClJLXYqUfzM6OjBqlKRaUlISJ3+4RWhwFFNX98fESv8j0YPrrhEfmco36wa8j3YpL69g4/zzqKgqMmVhdwRBoLysnE3LPdDSUWXMjLYA3Lr6lPDQd4yd2gY1dSW8PF8QHp7ImHEtUFKSZ8s2L9TVlRg5tCkeN5+SkJTFxJEtePQ8lvuPoxjasyE+QRHEJ2cxaUAz9nk8AKBbsxqcu/OMrm7Vuf4onLKyCho5W/E0OpGBTWtz4sFTOtRy+H+d0r87UqUuRcq/nTFjoKyM5JWbOL7xBq161adlz4/rOzwJeM2lgwF0H9GUuk3s37dfOHSX8GdxTJzX9b1//dKph0SEJTJhVkfU1JXJyy1i3w5vqtcyp3X7muTlFbFn120cHI1p3aYG3j5hPH8Zz9iRzRFkBA6evEfdmha41rHkh0M+mBhq0rVNTfZduE9tB1MM9NS5HPCSfq3rcPlBKBWiSGc3J87de07PxjU4//AFBppqpBUUUFRaSue6UqX+IVL3ixQp/3YcHaFpU2QO7Meg+kQmrfzYxZCXU8iGOacws9FnxKyfMjPGR6VyeIsnbq2dad5JUlg6JTGLQ9tu06CpPe5tqwNweK8fOVkFTN4oCYs8sM+PzMx8lq/sR3FxKbv2+lDN3ogO7Wqy//hdsnMKmTiiOZe9nhEVl87KWd25ePsZ6Vn5rJjWhR/O+KOmrEjHxo4MXX2Snk1rcP7+c+RkZGjgaMHJwGdM7dSY3X4P6VTLge89q8anHp2Sycht0oVSKVKk/BMYOxb9vFRWTa2LqvrHRTF2LrlIRkouM78f+D4zY0VFBRsXnEdRSf692wVg25priKLI5LmdEQSBt2+S8DgXROce9bBzMCb8VSKXLj6ie496ODgac/TEfdLS85g2qQ0ZWfmcvhRMG3cnTIy12HvqHnWrm1OnuhlHLgfRpK4NJeUV3H8ezaiuDTnp+xQZQaCViz3Xgl8xsHkdTt17ip66CukFhRSXleNobsDb1Iz/9+n8OyO11KVI+S/QsyeMGIHR22dAj/fNd28+x/vCIwZNbYvDBwUxrpwIJPRxDN+s6oOOvjoA93xe8cAvnDEz2mJkok15WQUbV11BXUOZEeNbUF5eweaNN9DWVmXk6OYkJmVx5nwQbVtXp7qzKUu/v4IoiowZ0pTD5x+Qk1fItBEtOXYlmLzCYsb1acKKQ54Y62rgVsuKzcsC6NeiNif9Q1BVVKCGtTF7/YKZ1MGNff5BdKxdjdOPnlPNUI9X/HGsDLQ5MPnXLZQenFIFA/5JSC11KVL+C6irg7MzPHz4vulddBobZ5/CroYpAyb/VLchOSGTgxtvUq+pPa271QUgN6eQrauuYG1vSM9BkpJ1508F8joskSlfd0BDU4VrV0IID09kwqQ2qKkpsWuvL7IyMowd6U7Iizi8/MIY2KsBgozA2WtP6NC8OhrqSpy68Zi2bo7EpmQSFp3M+J6N2XvtIfKysjSuaYXPs7cMaenCvttBGGmpk1daTFFZGfYm+sSkZzG2Wf3/37n8FQiCoCQIwkNBEJ4KgvBSEIQlle3+giCEVB7vBEG4WNneQhCE7A/6Fv7esaVKXYqU/woNGkiUuigpYL9xzilkZGWYt23Y+0Rf5WXlrJ1zGkFGYOqiHu/dLjvWXiMzI59vFvdATl6Wd/EZHN7ji1uzari3diYrK599e32pXceCVq2defY8Dj//cAb0a4C2jhqbdnlhZKDB4D4N2XXcH0FGYNzApmw/6Q/AuD5N2HHuLramupgba3EzKJwhbetx3C8ETRUlzAy0eB6bxIiW9Tgd+Jx2Natx9vFznIz0Ofu0anK/VDHFQCtRFGsDdYAOgiA0EkWxmSiKdURRrAPcB85/cI3/j32iKC79vQNL3S9SpPxXaNAADhyAmBiwsuKrNf1JT8nGyFz3vcjpvX6EPo5h1pp+GJpqA3DPJwzvq88YPK459s4miKLIptVXkZWTZerMjgiCwJ7dvhQUlDBtRnsqKkS27vRGX0+d/n0acul6CJExaSyf252ouHQ8A14xrFdDktJzuHX/FaN6NiIwNIa4lCzWT+vGlvMBaKsr4+Jgym6vQKZ2bcIe74dYG+iQml9AQUkp1Ux0uf7qNdPbNmaj770qmZ7olExGb66ahdLK8nR5lU/lKw/xx35BEDSAVvyBWqRfokosdUEQOgiCEC4IQoQgCN9+pl9REIRTlf2BgiBYVcW4UqRI+Q3UriyZ+fIlACZWetRsYPu++/WLeI5tv02LzrVo1bUOADnZBWxZcQVbByMGjnEHwPPaM0IeRTNmcmv0DDQIfZnAjWtP6d23AVZW+ly68oQ3EclMHNeSopJS9h0LwLWOJU0b2rHtsC9aGsoM7l6fTUd90dNSpU+7Ouz1eEBtexOQEXj8JoHxXdw44BmEjroKmurKRCZnMKqVKyfuh9C6ui3nn4TiZKSPf2QM+mp/SUIvPUEQgj84xv1cQBAEWUEQQoAUwFMUxcAPunsA3qIo5nzQ5lbprrkuCEL13/vC/rClLgiCLLANaAvEA0GCIHiIohj6gdhoIFMURTtBEAYAa4D+f3RsKVKk/AbUJHHmFBZ+0lVcVMr6b8+gpavG5AU/pQ7Ytf4GOdkFrNg2BHl5OXKyC9iz1QvnmmZ06u5CeXkFP2y+ia6eGkOHNSEtPZd9B+9Qv541Ldwd2bjLi8LCEqaNacXdR5E8CY3n69Gtuf8smtC3Scwf154rAaGkZeWzfHwn1pzywdxAC0sTbQLPxTGjezP2ej/EycyAN6np5JeUUMPCEM83b5na2o3Nd+7zXbvm3K2C6bEy0Gbf9F+3ULp/BmmiKLr+kowoiuVAHUEQtIALgiDUEEXxR1/RQGDvB+KPAUtRFPMEQegEXATs+R1UhaXeAIgQRTFSFMUS4CTQ/Wcy3YFDledngdbCz6veSpEi5c9FSUnyWFz8SdehzbeIi0zl6xW9UdOQhDwGBbzB68pT+o1oiq2DMQB7t3mTl1vE9NmdkJERuOzxmNevkxg/oTUqKops23mb0tJypk9pS1RsGh43ntK9Yx2MjbTYcsAHKzMdOjR3Zvspf+wt9HGrY83Bqw9pXNOKd5k5RLxLZ1I3N7ZevouBlhoKinIkZOQwuFldTtwPoWsdJy6EhOFgqId/ZAyG6mo8SIj/f5vC34MoilmAD9ABQBAEPSR68+oHMjmiKOZVnl8D5CvlfjNVodRNgbgPnsdXtn1WRhTFMiAb0P2ZDIIgjPvx35nUL6QLlSJFyu/kR6X+s8LUTwPfcuHQXboOaoRLY4lxmJ9XxOYVl7Gw1mfQ2OYAvHgay43LIfQe2BBrO0OSk7PZu9sX1/rWtGrtzMPgSHzvvGLIQDdMjLXYutcHVRVFRg5swvFLQbxLyWbGqNZc9HlGYmoOUwc3Z5/HAwqKSpjQuwk7PO7jZGEAMgLPo5MY26Eh+32CqG1lzOPYBMpFEWdzA6LTM2nlZMvj+Hd0reWI55u3/6/T+GsQBEG/0kJHEARlJJ6MHyMv+wBXRFEs+kDe6EdDVxCEBkh0c/rvGftvtVAqiuJuYDeAq6ur+D/EpUiR8ltQkGws+lCp5+cVsWHeOUwsdBn1dYf37fu3eJGWnMPGg6NRUJCjpLiMjauuYGCkyeBR7oiiyOaNNxBFka++7khpaTmbt3pibqbDgL4NuRf0luCnMUwb24rC4lKOXAikZaNqVLM2YO4Pl2lcxxo9bTXO+z6jV4taPHqTQFJGLvMGt2H1udvYm+hRXF5GclYeUzs2ZsEFT/o3rMWpR8+x1dfhXkwsRhpqvEpPQ1NJsUqmJyY5k7HfV9mOUmPgUKV7WgY4LYrilcq+AcDqn8n3ASYKglAGFAIDKhdbfzNVYaknAOYfPDerbPusjCAIcoAmv/NXSIoUKb+Td+8kj4aG75vehr4jP7eImav7oqQiUfohQVFcORNEj0ENcaol+dM+tMeXuJh0ZnzbGWVlBXx9wgh88JZRo5tjZKzF6bMPeZeYxbRJbRCBrXt9sDDVoUfHOmw/4ocITBnenAMXH1BQWMKUge5sOX0HZUUFhnRwZf/1hzR0siAuI4u4tGwmdnJjn3cQ9WxMuRsRg4KsLJYG2rxNzaBtdTuexCfSqYYjfpHRjKxf7/95Iv83oig+E0WxriiKtURRrPFhiKIoii1EUbzxM/mtoihWF0WxtiiKjURR/N0hPVVhqQcB9oIgWCNR3gOAQT+T8QCGI4nL7APc/r2/QlKkSPmdVBaiplq19021GthwyGs2quoS10xuTiHrFpzHzFKXEZUbkl4+i+Ps8ft07uGCa0NbcnML2faDJw4OxvTo5UpySg5HT97HvWk1XOtZs/94AAlJWWxY2pcXrxPxvhfOqL5ulFWInPUMoUvzGqRm53P3WRTT+rlz+UEoWXmFjO7UgNkHr+Fqb0ZMehZpuQVM79KU+edvMaJZPQ7ef4yzsQFBcQkYqKvyKj0VbWUlnqclVcn0WBpqs+ebX7dQundmlQz5p/CHLfVKH/kU4CYQhuTfjJeCICwVBKFbpdg+QFcQhAjga+CTsEcpUqT8yYSHgyCA/cdBFT8qdFEU2bLiMpnpeXy7sg9KygoUFZWyfrkHBoaajJ3SBoA9u3zIzi7gq5kdkZWVYcfu2wBMHNeK2PgMjp19SJvmTtStacGm/bcx1FNncI8GbD7qi7ycLKN6NWLTST9M9DVpXd+eI56PaFXXjuCIeDJyCxjdrgF7vB/S1NEK3/BIVBUU0FRXJiErh861HQmKTaBjdQf8o2Lo7OyA59u/n0/9r6RK4tRFUbwmimI1URRtRVFcUdm2UBRFj8rzIlEU+4qiaCeKYgNRFCOrYlwpUqT8Bl6/BgsLUFb+bLfXlafcufWSYRNaYu9sAsCBnT4kxGXw9byuqKgq8vxZHFevhNC7TwPs7Y0IfhSFn384g/o3wtBAgw07PVFUlGPyqBZcvf2CN9EpTBranMdh8fg/fsvIno0IfBlDRHwaU/o0Zc+1QErKyhnW3pXDtx/Rpo4dAeHR5BeV0KNhdTxfRDDArTaH7j2mobU5d95GoaeqwuuMNLSVlYjJzUJTsWp86v8W/lYLpVKkSPmTEEW4dw9q1fpsd0piFtvXXqNGXUv6jpDUGw19Hs/F04F07eVKXVdrSkvL2bjhOoaGmgwf2YzCohI2bLn5fnH0tv8rHj+L5esJbVBUkGfXCX9qOZri3sCOIXMPY2GsTY9Wteg//xA1bY0xN9LCY/81hrSpx/VHryguLaNvs9pM3HORbvWd8QgJQ0NZETkFGdLzC5hQvSHLbvowtGEdDj4JYUi92hx+HsI0t0aEVMEUxSRlMn716Sq401+LNPeLFCn/BR49gqgoSbbGn1FRUcGGJZeoKBeZtawnsrIylJSUsWHlZfQNNRk9qRUAZ04HEhOdxrQZ7VFWVuDAoQASk7KZOaMDZWUVbNvvSzVbQ7q2r82h8w/Izi1k+siWnLn1hNjETGYMaclp7xDSsvKZ1s+djWf90VRRooubE2fvPqdbw+pcCg5FRoDWNW3xDYtkUOM6HAsMobm9FR4vwjDSUCMqOwstJSWisjPRUlIiKPHncRn/baSWuhQp/wXOnAE5Oej+832BcPVsME8CI5k+vytGlfleThwMIDY6jRUbBqKiqkh0dCqHD/rj3tyRRm52vApP5NzFYLp1rkOtmuZsP+BLWkYey77tTsy7DE5deUTHFtXR11Vn3/kHNKljg4O1AXN3XaFlPTuyC4sICo9jzoCWHPF5jAC0rWvPhL0XGN68HgcDHqOjqkwpFWQXFtPQ3oLVnneY6N6ArQ8eMrBuTY69fMaAWjU5Efrsk/f0e7A00mbXt/1+lezuuX/fDfFSS12KlH87oihR6m3aSGqWfkBCbDp7Nt6iXmM7OvaShAZGhCdy8vBd2nSoSX03O8rLKli76goqKgpMm9GesrJy1m28jo62KmNHtyA6No0zHo/o1KYmzg7GfL/HCxVlBSYNac6O0/6UlJYxfWgLdpy7S3FpOeN6NGbTOX+sjHSobmPI5YehDHCvwxH/J6gpKeJkYUBQVDwj3F05/vApbZ1sOfvkBVY62rxKS0dDUZGY3Cy0lZSIyEpHT0Xlr5jVvy1SpS5Fyr+de/ckrpe+H4frlZWWs3b+eeTkZPlqYTcEQaC4qJTViy+ipa3KhBntADh58j7h4YnM+Loj2tqqnDr7kMioVKZPaYeqigKb93ijrCTPhOHuXPd7SUhoPJOGuJOYlsMVv5f07+BCbkERl/xfMKidC8Gv44hJzmRG76ZsvBiApooS9aqZEfAqmtEt67PzdiCWelpkFhVQUFJCdXMjItIy6FXXGa+It3RwtCMgNpa2dnYEvUtgUI3PrxP8V5G6X6RI+bezeDEYGED/j10GB7d58+p5PN+t6Yu+oSYAe7d7ExudxqrNg9HQVCE6OpUjhwJo3sIR9+aOvEvM4vCxezRrUo2mje3x8gvj0dNYZoxvjYysDNsO+1G9mjGdW9Zg4vJTaGuoMKJbQ6ZuPI+upir929Rl4IpjuDqYUyZW8Cginm/7tGSP90MMNNVQU1PkbUoGS3q3YdVNPzpUr8aZkBc4GepzLy4ObWUl3hXkoamoSER2OvoqKtyKjaiSaYpNzGTi8lNVcq+/EqmlLkXKvxk/P/Dygm+/BdWfUtQGBbzhzKG7dOrtSvN2NQAIDnzLpTNB9OjXgHoNbCgvr2D9mqsoKyswdXp7SRz7Nk9kZWWYOrE1WTkFbN7jjVM1Y7p3qMOeEwHk5BUxc2xbfILe8Oz1Oyb0a4JvyFteRiYxrV8zztx5RlZeIVN6NGbjpQBsjHTQ11HjaXQio1u7sut2IDXNjXidmkZRaRl2RrrEZWbTvro9d6Nj6V7DiTsx0bSzt+NR4jtaWFsTliHNE/UhUktdipR/K6IICxaAiQlMmPC+OT0lh3ULzmNtb8iEmZJ8LznZBaxf7oGltR6jJ0qiXc6fCyIs7B3zFnRHW1sV3zuvCAyKZPL4Vujra7Bi41Xy8ouZPaU9b6JTuHArhN4d6mJmrMWsjRext9CnRX17+s2ThDDWdTBj2XEvOjZw5FlMEnGpWWwe141N1+9ioadFXmkpyTl5fN2pGd9duknPus6cfvKCWiaGeL2NxEhdjZjcLNQVFHibnYG+igpPUhOx0dIhpgqmy8JYmx3zf90C6M4FA6pgxD8HqaUuRcq/lVu3wN8f5s17v+GovLyCNfPPU1RUyner+6KoJC+xwNdeIyergDmLeqCoJE98fAb79/rRuEk1WrZyJjunkC3bvbC3M6Rn93o8fBzFTZ9QhvRpiLWFHt/v8UJbU4WxA5qy7/x9ktNzmTWyNQeuPCQzt4CZg1vyw4UARBGGtqvH7hsPcHO0JDk3j4ikdMa2bcABv2DcHazxfv0WeVlZzPQ0SczJxb2aNU8Tk+hZ0wnvyEja2kms9GZWVrzJSqette3/mIj/FlKlLkXKv5GcHIl1bmcHo0e/bz59MICnQVFM/rYzFjb6APh6vuTO7TCGjmmOnYMxFRUiG9ZdQ15elulftUcQBLZs8yQ3t5DZX3eitKyc9ds9sTDTYWi/Rlz1eUFoRBKThzYnOSOXk9cf0a1FTTQ1VDjp9YSuTatTWFrGjaBwhrd35UpQGHmFJUzo1IhtN+5Tz8aUyLQMcouL6eziwI0XrxnSsA7Hgp9Sz9yEG28isNLWIiQlCW0lJWJzs9BXUSEkLRE7LR3Ovn3+V83y3xKp+0WKlH8jM2ZAbCwEBEDlNvpXL+I5stMH93bVadetDgDpqblsXX8dpxqm9BvSGIAL54N4+jSWb2Z1Qk9PnTsB4dz2DWPksKbY2Rqw85AfSSnZbFk5gKLiMnYeu0MtR1PaNXNi4vLTqKkoMnlAM5buv4WivCzjejRm2raLGOmo066+A/3XHKV7o+rcfvmWzPxCVrRpwPRjl+lUy4Gzj1+io6qMspI8Kbn59Hapwdb7gUxs3IBtwYEMqV2bIy9D6OnsxPmIUHo4OHIxKvQLk/DbiH2XwZSFJ6vkXn8lUktdipR/GxcvSgpMf/cduLkBkrzpq787h66eOtPmdUUQBCoqRNav8KCkpIzZC7sjKytDZGQKe3b54NbYno6dapOdXcCmH25hb2fIoP6NeBudyqmLwXRqU5M6NczZdtiX3LwivhrdmusBYTwNT2DyQHdexaZwJ+QtI7s0xO9ZJG/i0/i6jzt7bgQiJyNDd7fqHPF7QldXZ26/ektZeQUNq1kQGBXHiMYu7H/wiKY2llwPf4OtjjZ342MwUlMjIjsdHSVlnqYlYaulzZ13UTQzsfpLp/vvhtRSlyLl30RSEowdCy4ukkVSJNkXv190keR3WazdPQL1ynJ1p4/e41FgJNNmd8LUXJeS4jJWLr+Eqpoi38zqhCAIbN7mSW5eEetXD0BGRob122+hpqrIxBHNCX4Ww5XbLxjcvT6G+upMX3uWmvbGdGjsxNClxzDR06BjYyf6Lz1CfQdzDHXVufE4nLHtG3LU/wlysgLd6zszZv85etevwZEHTzDT1iCtsJCcomLqWZvi53+PcW6u7HwUxJh6Lux5+ogejk5ciAylazUHLkeHoaVSNQm9LEx02Lr01y2Abls2sErG/DOQWupSpPxbKC6GAQMgNxeOHHlf6ejckXvcvR3G6GltqOliCUDYi3gO7vaheWtnOvdwAeDAfj+iIlOZNbsL2tqq+N99jY/fK4YNboKNtT6Xbz3l5at3TB7VAiVFOdbu9sTMSIvR/Rqz68xdsnOLmDWiDSe9nhCZkM7XA1uw//pD8otK+KZfc9ae80VXXQUXe1NuhrxmRAtXDvg/Qllenmom+oQnpzHUzYXjwU/pXsuJs89f4qivh29MFBaamgQlJWCoosqLjGRsNLXwT4yioaEZ12PD/rIp/xKCIJgLguAjCEKoIAgvBUGYXtm+WBCEBEEQQiqPTh9cM1cQhAhBEMIFQWj/e8eWKnUpUv4NVFTAyJGSuPT9+8HZGYAXT2LYt8WLJq2c6D1U4jPPzyti5cIL6BtoMuPbzgiCwLNnsZw5HUiXrnVp5GZHbm4Rm7bews7WgIH9GpKcmsPOg3641LKgfcvqHDj7gISkLGZPaEfUuwwueD+ld9s6aKgrsefSfZrXtcXUUItzd57Tx702ofEpPI9OYnq3pmy/eR89dRUczQ24Ex7F2Jb1OXDvEU5G+rxMTgbA1lCX2KxsmtpZ8iotjTZ2toQkJ9Ha1pY3Wek4GxqQVVyEqpIccjKyf9m0/wJlwDeiKDoDjYDJgiA4V/ZtFEWxTuVxDaCybwBQHUmB6u2VpfB+M1L3ixQp/wbmz4cTJ2DVKhgkKTyWmZ7HitlnMDLR4pvFPRAEAVEU2bTmKqkp2WzcOQJVNSUKC0pYu/oKRsZaTJgoqXa0Y89tsrIKWLW0D7KyMqz54QYVFSKzp7QnMjaN4x5BdGpZnbrO5oxfegItdWXG9WnM0v03Afh6YAuWHfNCVVmBwW3rMmzDKWpZG6OsrEBIdCLze7diy627mOtooqQkT1xmNvO7tJSk1m1Qh0OPnlDH2IjbUZHYaesQEB+DpYYmj1ITsNLQ4m5iDA0MzfBLjKS3bU3WVcEUxiVkMO27qlkoFUUxEUisPM8VBCEMMP2FS7oDJ0VRLAaiKgsKNUBSLe43IbXUpUj5p7Nrl0SZjx8Pc+YAknj01d+dJS+3kPnr+r+vbnTr6lP8vEIZPqYFTjXMANi5w5ukxCxmf9sFZRUFAoPecv3mcwb0bUg1eyM8bj4lOCSGSSNbYGSgyZpdt1BXVWTKsBZcufOC528SmdS/GSFv3uH7+C1jujUiIjGdwLBYxndpxAm/EDLzCpjVqzmbrwVgY6iDKANvktOZ1MaNXXceUs/CBL+30agrKaKkrEByXj5NbC2IyMigqbUl4elpNLex5lVGGjWMDMgsLkRFURYFGVmeZcX9FbOuJwhC8AfHuC8JCoJgBdQFAiubpgiC8EwQhP2CIGhXtpkCH76ReH75R+CLSC11KVL+yVy4AJMmQadOsHWrpFwdcHSXLyEPo/h6cQ9sHYwAiI9NZ9uGG9R2saRfpSvmYeBbrlx+Qr/+DalVy4KsrALWfH8days9hg9pQmJyNtsP+OJa25JuHWpz4WYIL18nsnCaJF59yzE/6jqa0bqhAwMXHsbaRJferWozeOVxrAy1qedoxvdrj9OrcU2exSYRk5rF2qEdWXXVj3pWprxNTyctr4BJLRux+MZtJjRtwMFHIbSxt8XjdTiOenrcjomkmo4uvvFRVNPW5V5iDPUNTfFPiqK1uQ23k15XyVSam+qwZeWvWyj9YdXANFEUXf+XnCAIasA5YIYoijmCIOwAlgFi5eP3wKjf/6o/RWqpS5HyT+XYMUnmxfr14dQpSb50IPheBCf23qFd97q0714XgJKSMlYtuoC8vBxzFvVAVlaGjIw81q6+gqWVHiNHNZdEyWy+QV5eEfPmdEVeXpZ12yTulNlT25OWmc/O4/641rKkXTMnNhz2oaS0jLlj2nLkRjDv0nKYM7QVx7weE5eSxaz+Ldh0MQBlRQUGt3Bh2437NHaw5E1KOul5BYxwlxST7lzTgUsvwjBQVyWzpIii0lJqmhgQk5VFfXNTYrKzaGBuRkxOFrWMDMkoLkS50kqPzk/HVkPvL/sIfglBEOSRKPRjoiieBxBFMVkUxXJRFCuAPUhcLAAJgPkHl5tVtv1mpEpdipR/Irt2wdCh4O4Onp6gpgZI8qOvmnsWKzsDJs/p9JP4Zk/evErk6++6oGegQUWFyJpVl8nPL2bBwh4oKMpx0/MFAffeMHp4M2xtDLju/YLgkBgmDG+OkYEmm/ffprS0nFlj2+D/+C23H75mVE83ZGRlOHwtiPYNHdDXVmP/jSDa13egDJH7r2IY36ERh/weUVhSypg29TkU8JhOtR24HvoaAXCzs+BJfCID69XmzLMX9KzhzNFnT6ltZIR3dCQ19A3wio2glr4hPgmR1DMw5m5SNE1NLInMTaeGjv5f9CF8GUEQBGAfECaK4oYP2o0/EOsJvKg89wAGCIKgKAiCNWAPPPw9Y0vdL1Kk/NNYvx5mzYLOnSXFLyrzuuTnFbF4xglkZAQWbxyIkrIkpNHr+jMunw+mzyA3mjR3BODUifsEB0Xx1TcdsbYxIDEpix92eFG7ljl9etUnLSOPrft8qOVsRvcOdfC+9wqfB68ZP6gZ2poqrFtxGlszPQZ3dmXOtsuSzI39mrHksCeKcrJM69WUidvOY2mgTU1rI9Zd9WN483p4PAmjrKKCdrXsmXbqCuPcG3Dw4RMsdbR4nZmOrIwM2mpKJOfn09XJkT0hwTSzsuRE+DOaWVryLCKRWgYGyMvIEJWfhrW6Dt6Jr6pkWuPiM5gx63iV3AtoAgwFnguCEFLZ9h0wUBCEOkjcL9HAeABRFF8KgnAaCEUSOTNZFMXy3zOw1FKXIuWfgijCokUShd6vH5w//1GirtXfnSMhLp356/q9L0sXGZHM5jVXqVXX8n32xZcv4tm/z48WLZ3o3KWO5Np1VwH4dmZnZGQENu70oqS0nDlT25OVU8D3e7xxsjNiUPf67DgTQFpWHnPHtOX+i2j8QyIZ060RIW8TeRAWy6TujfF59pbolEy+6tGMtZf80FVToXVtOy4+CmVgo9rsv/cIPTUVdNVVeJ2SRh+XGlwJC6df7Roce/6M1jbWXIl4RW1DQ27FvKGBsSnXY1/T2NgC/6RIGhtbEp2XgZWGJuVixV/zefwCoigGiKIoiKJY68PwRVEUh4qiWLOyvVtllMyP16wQRdFWFEUHURSv/96xpZa6FCn/BAoLJTtFjx2DUaNg926Q/SmM+fCO2zz0f82UuZ2p7WoNQH5+MUvnnkVVXYnvlvVCVk6GvNwiViy7hKGRJl990xFBEDh7/iHPXsQzZ2YnjAw18fQLxf/BG8YPd8fcVId56y9RWFTCvMkdCI9O5pxnCL3b1sHKTJc58w5hZ6ZHN/ca9F92BEcLA1q52NFr5REaOVqQVVjE89gklg1oy+ab91BXVsTeVJ9DQU/4rlMLdtx9iKuFKQ/i4tBUUqSYMgpLS3HQ18crNpKmVpaEvE7CXVODoPQ41JTkkZWRIbYgHRt1HQLTomhj4vDeh/FHMDfTYdO6Qb9KdvP6wVUw4p+D1FKXIuXvTmwsNG0Kx4/D8uWwd+9HCt3fK5ST+/zp2KseXftJ1t1EUWTTqiskJWYyb1lvdHTVEEWRjRuuk5qaw7z53VFTUyIqOpV9h/xp2tie9m1qkJSSzcadXtRwNKF/j/r43A/H98EbRvVrjLmJDmv2eaKnpcbEvk3ZdjaA1Kw85o9sy8GbQaRm5fPtwFZsuhRAcWkZ07s1Zcu1u9S0MEJBQZ6HkXFMbtOI3XcCsTfQJSk/j/T8ArrWcuROVAz969Tk7MuXdHd04vjLpzQ0NeNmTARNTS24HhNOa3Nbbie8oYmxBdF5GZirayCKFUQWJH5p5v6TSJW6FCl/Z+7cAVdXePMGPDwkudErwxYBot+msH7hBZxqmjHpg4XRy+cf4ecdyohxLalZxwKAWzef4+sTxohR7jg5m1JSUsaKNVdQVVHk6+ntqagQWbnpOuUVFcz/ujN5+UV8v9cbBxtDBnarz+mbj3kdk8pXw1oSkZDGOZ+n9G9TF2VlBY57PaFb4+oUlpZyLfgVI9u44vk8gtScfKZ1bsL31+/gZGJAGSKxGdmMaOLC4cAndKvhyLkXoRiqqRKfl4OMIKCqLE9mURG2etpkFxehrapEaUU5FTLlKMjKEl+YiZWaNkHp0TQ0sCAmP+3//WP5OyN1v0iR8ndEFGHHDpg+HWxs4NIlcHT8SCQnq4AlX51ARVWBBev7o6Ag+XN+/SqRXZtv0aCx3ft0unGx6fyw+Ra1a1swYKAkc+P23bd5G5nCqmV90NZS5fi5QEJexDF3ekdMjLRYsvkquflFbF7Yl3ep2ew6c5cmdW1oUseaoUuOYaijzoSejZm56wpKivJM6OrG+G3nMNfTpKOrI32+P0rHug4ERsaRlJ3Hkt5tmHX+Bo2szfGPjEFGEKhtYcwFr1dMadKQH4IeMKhWLU69fEEnu2p4vH2Fu5kVN2Pf0MbCllvvwuloWY1biWG4m1iSkpZOUnEmNmr6PK2CKY+Ly+Dr6Uer4E5/LVJLXYqUvxu5uZI8LpMnQ7t2EBj4iUIvKSljydcnSU3OYf66/ugaaACQmZHP0rln0NJRZdaC7sjICBQWlLBo4TkUFGT5dl43ZGVluBMQzqXLT+jXuz6NGtjyJjKZvccCaN64Gh1aVScg+C23/MMY3qsRVua6LN91AwU5Wb4d3ZbD14OJepfBt8PaEPAimsCwWCZ1c+Pyw1BiUjKZ268VW2/cQ0YQGNC0NgfuPKJrXUfuRsaSXVhE17pOXAt9zbCGddnz8BFOBvo8TU1CXVGRnLJiRFFEW1WZvJISlJUkbqac8kI0FBSJzk/DXE2ToLRo6utbEF+Qgbmq2v/7R/R35g9Z6oIg6ACnACsk4Tn9RFHM/IxcOfBjeZJYURS7/ZFxpUj513L/PgwZAtHRktS5ixZ95D8Hib98w+KLvHgSw9zVfale6V4pLS1n2XdnyM7MZ8OuEWhqqbz3o8fGpLFm3UAMDDRISclh/cYbOFQzYszI5pSUlrF84zU01JWZOakdeQXFrNvtia2FHkN7NuTMzSc8e/2OhRM6UFBcyoErD2nX0IHqNkb0XnwIZ0tDGtewpu/qw7SpYw8yAreevmFSezcOBTxGTlaGXg1qMPrQeXrXrc6ZkBfoqaogryBLQk4Owxu4s/yOHyNd6nLw+RP6OtfgzOsXtLGyxSsugnaW9txICKO7jSNX4l/SzMSS9LRMkoozsFbVITjjTZVMvbm5Dhs2D/lVshu3DK2SMf8M/qil/i3gLYqiPeBd+fxzFH4Q1iNV6FKk/JyyMli8GJo1k2Rc9PODpUs/UeggSQHgc/05I6a0pkX7Gu/bt2+4wYuncXw9ryv2DpI9Lpc9HuPt9ZIRI92p52pNeXkFK9Zeoay8ggXfdkNeXpYDx+8RFZPGnCnt0dRQ5vs93mRm5TN3UgeS0nPYcTqAJnVs6NDEidWHvVCUl+OrgS3YePYOufnFLBzalk2X/BEEgaldm7D8rDeW+lrUtjbC62UEY5q7stPvISoK8rhYm/I47h0j3eqxL+gxrWytuf7mDQaqqkTnZKEqL09BRQmiKCIrLyAnI0NKcQ66iio8y0zARl2HR+kxuOqbk1CYiYGKCgoyUi/yh/xRpd4dOFR5fgjo8QfvJ0XKf4+ICEl0y5IlMHgwPH0qef4ZPC+HcHSXL+2612XAqGbv2y+fD+bqxcf0H9qYlm0liv7Vq3ds3+pFw0a2DBrSBIDjpx7w7Hkc0ye3xdRUmxevEjhx4SGd29bErb4tt/zD8AwIY2TfxjjYGLJyzy3k5WSZM7oNNx68Ijgsjil9m/L2XRqX74cyrL0raXn53H4Wwdj2DbnyOIy49Gzm9mzJ+usBmGhpYGGgzf3IWCa1aMjOgCBs9XSIzs6iuKyMRtbmPEp8R09nJ25HR9LT0ZnLb1/Rw96RW5W+9MdpCTQ2sSA2PwtbTW0qxHJSijOxUtXheVY0bvrSwtMf8kd/4gw/CJ5PAgy/IKckCEIwkp1Sq0VRvPgHx5Ui5Z+PKErCE7/6CuTlJflb+vX7oviz4Gg2LfWgdn1rps3rglAZBfPscQzbN9ykYWN7RoxvCUBOTiFLFp1HR0eNb7/rhoyMwMvQBA4eCaB1S2fatalOXn4xy76/ioGeOlNGtyQpNYfv93hR08GEob0acs4rhCev4pk/rj0ysjJsOO5LTVtjOro50X/ZESwNtRne3pXB645joa+Few1r+m88Qce6DiTm5BKemMqq/u3Z4BlANUM9kBGIzshkfocWLPPxY0CdmhwIeYKjnh6Pkt+hp6JCZF4GGopKpJcVoCQrS2xBJsbK6jzKiKWGthH3UyNx1TMnJDuK+nom5JbLEZoTUSUfR3xsOjMnHa6Se/2V/E9LXRAEL0EQXnzm6P6hnCiKIpKtr5/DsjKj2SBgkyAIn/1pFQRh3I+pLFNTU3/re5Ei5Z/Dq1fQogWMGwcNGsCzZ7+o0BNi0lk68yTG5tosWN8feXmJPZaSlM2y+WcxNtXm2yWSRF0VFSKrV3qQkZ7HwiU90dBQJje3iOWrL2NooMGMqe0AWLftJimpOSyc2QVlJQVWbJOEMy6Y1omUjFy2n/SnUS0rOjVzZs1hLwqLS1k4uj17rgaSkJbD/CFtOO77hNjULGb3bsH6y/4oyssyoV1DNt28S11LExKyc0jIymFqKzd+uPOAxtYW+EZHo6qggKaqEgk5OXRxdCDoXQJdqjngHx9Dd3tHvOPe0tbSjhcZSbgYmZBcmIuRqioVYjlppdlYqmrzMjuWGlom5JYV/H98Yv8Y/qelLopimy/1CYKQLAiCsSiKiZWJalK+cI+EysdIQRB8keQWfvsZud3AbgBXV9cv/UBIkfLPpahIkvt81SpQVZXsDB09GmS+bF+lp+Qwd9JhZASBpZsHv68xWlRUypK5ZygtLmPJjn6oqklypp88cZ/AB2+ZOq0djo4mEiW//iqpabls+X4QaqqKXLn1DJ+AcMYNc6eGoylnrj7m8Ys45kxoh4mBJtNWn0UQ4NvRbfF8+Brfx2+Z1q8ZpRUVHPN6TPcm1dFSV2bPzUA6uDhQVF7GvfAY5vRozqG7j8kpLGJi60ZMPeVBO2c7fN9GUVhaSpeaDsy54cmUxg3ZH/KYVtbWXIkIx1xdg8ep7zBSUeNFZhJ6Siq8yUnFTFWTwNQo6umZEpDyhiaGVgRmvKG+ngl55XJEF8RTR9uW21Xw0ZhZ6LJ++7BfJfv9juFVMOKfwx/1qXsAP7674cClnwsIgqAtCIJi5bkekkQ3oX9wXClS/nn4+EDt2pIF0H79JNb62LFEvk4mIzXns5fk5hTy3eQjZGcWsGzrEEzMdYDKXC+LLhARnsicxT0xt5Skn71/7w379/rSspUz3XvWAyR+9HsPIpg0vhXOTqZEx6axebc3rrUtGdSrATEJ6Ww/dofGLjZ0bV2TC97PCHoRy6QB7sjJy7Lu6G1q2hozoK0LK456oaaiyNQeTVl6whNVRQWmdWvC2kt+2Bvr4WRuyNmHLxjaxIXLL8IoqxDpWseJs09eMKR+bQ49eYqJhjrJRfkUlZVRx8SYsLRU2tnb8TQ1ifa2djxOfUc7KzvCslKopW9AZkkhagpyyMvIklycibmKFi+zY6muZUxeWQF5ZdLNRx/yR5X6aqCtIAhvgDaVzxEEwVUQhL2VMk5AsCAITwEfJD51qVKX8t8hLQ1GjIBWraC8HG7dgqNHwdCQyFeJfDtyL99/d+6Ty4oKS1g47RgJMeks2jAAh+o/FcLZs9WLe3fCmTCjPW7NqgEQE5PGyuWXsLM3YuZsSe3RR4+jOXDYn1YtnOjZzYXi4lIWrbuMsrIC333ViQpRZPkP11FSkGPOxHbEJmay+ZgvDWta0rNVrY/cLpfuveRZZCJf93HHM+QNT6MSmdmrOWcDX5CYmcucHs1Zfuk2RppquDtZcykkjOFuddl7PxhdVRWs9LUJTU5hkEstzrx8Qd/q1Tn0/AkuRsb4xkdho6lNQFI01hraPEiJwVpDm/up0dTXN+deaiRNDK2Izk/DSEUFJVk5ovPjcdY0JalI6qr9kD+0UCqKYjrQ+jPtwcCYyvN7QM0/Mo4UKf9ISkslu0KXLIGcHPjuO0kt0crMitFvkpg7eh+KygpMWfjREhVlpeWsmH2asGfxzFvTF5dGPy1DeZwN4vzJQHr2a0DPylwveblFLPjuDIqK8ixd3gclJXlSU3NYttoDczMdZs7ogCAIbDvgS1RMGusW9UFPR40DZ+4TGpHEkq+6oKWuzKwNF1FUkGP++A54B//kdlFSlGfLOX9cHcxxdTCj96ojuDlaUtPaiEVnvejs4sirpDReJ6WxcXAXNnrdRU9NBTNdTXYHBrOoUyu23H1AbWMjghITUFVQQElBjrSCAgbUqMkPIQ8YUqMWR1+HMMipFicintDNxpGr8WnIyYqoySsQmZ+EjZouL7NjqadjSmjuW4rL8zBV+lJ8xm8jPiaNWWMOVMm9/kqkO0qlSKlqRFGyrb9GDck2fxcXCAmBFSveK/Q3LxOYM3wvcnKyrN4/GuNKt4rkcpFNyzx4GPCGqd91plnb6u/7Ht6PYPvGmzRqas+4aW0BiStmxfJLJCdns3hpLwwMNCgrK2fpKg+Ki8tYuqAnysoKBARGcPFaCP26u9KwnjVPw+I5cOYebZs60qaJIwcuBRIWmcy3o9oiJyvDuqM+OFsbMqCtC8uOeFIuiiwc2oZ15/0oL69gXr9WLD3jjZK8HCNa1WOb132aOViRVVTI0/hEprRsxFb/B9Q0MSQ2J5vU/AJ61HTCJyqKIbVqcezFMzrbVeNcxEtq6hniFR9BLT0jPONfU1fPBN+kN7gZWhCcHkMjAwveFWZhrKKKoowsMQXvcNYwJbk4DS1FASk/IY3alyKlKnnyBL75RuI/d3SEq1ehY8ePknC9fBzDwgkHUdNQZtX+0ZhY6H50iwM/eOF5OYShE1rQuU/99+1Rb1NYOf8c1rYGzF3SC1lZiU128MAdHga+ZcZXHahRU1IRbd9Bf168TGDenK5YWOiSkpbLmh9uYG9jwLhhzcjJLWTJ5qsYGWgya1xbXr5N5ODFB3Ro4kSrhtWYv+saeYXFLBjVnisPQrkfGsOcAS15m5SO99MIpnVtwsO38QS9jWdR3zYc9H9ESVk5E1u7Mf7YeepbmZGYl0dKbj5z2roz69pNetdw5nToC0zU1YnPz0FExEhTnXexubSysubo60TczS15HplAM1MLnufEUUYZmgpKhOUk4KxpTEhmJHV1zAjLjaCoIhcTJR1iCmKq5KMzs9Rj3d6Rv0p2/b4qLStapUgtdSlSqoKEBEm+lnr1JOGJ27ZJHjt1+kihP7kXwbyx+9HWU2f9kXGfKPRju305dSCATr1dGTyuxfv2zIw8Fsw8ibKKIkvXD0BZRVLV6I7fK44fvUenznXo0k1Sj/TegwhOngmkW+c6tGnlTGlpOYvWXKKktIxFM7siLyfLim03SM/KZ8mMLsjKyrB0x3V0tVT5ZngrfB694eaDV4zq0hBVFQU2nLmDq4M5nRs5sfqMD3bGunSo78j6y3dwtTXDwkCLy09eMdK9HieDn1JQUsqEFg3Y/+ARnZ2rce5lKIpycjibGPAyJYV+NWvg8foVA6rX5FhYCK0tbbgc/YpGxuZci31FcxNrbiSE4W5sQ0hGHK56ZqQV56KhIIuSrDxxhe9w1DAhpTgdTQU51OX+frlfBEHYLwhCiiAILz5oWycIwitBEJ4JgnBBEAStynYrQRAKBUEIqTx2/pGxpUpdipQ/Qna2JD9LtWqSfOczZ0p2iE6aJNlQ9AGBvq9YNOkwxmY6rDs8Fn1jrY/6T+335/AOH9p0qc3U7zq/31yUn1/MvK9OkJ2Zz5J1/dGvTN715k0Sa1ZdxsnZlKnT2yEIAjGxaaxYcxl7O0MmT5Asd20/4MvL8ETmTuuIhZkOZ68/ISD4LRMHu+NkZ8T2U/7EJGayYHwHikvLWHHQEycrQ4Z3rs+yI15UiCKLhrVl1/UHJGbmMn9AG9Zf8qO4tIwFfVqx6rIvxlrq1LMx5WJIKCMb1+PME4kuc7OzxD8qhgmN6rP94UNqGRpyLz4WXWVlssqKKK8QMdFQJ7ukCH0VZYrKS1FUkKil/PJCdBVUeZ4dQ21tU55mRVFb25S8sgKKK3IxUdImrjAOa9W/ZeHpg0CHn7V5AjVEUawFvAbmftD39oNUKhP+yMBSpS5Fyu8hNxdWrgRra0mIYufOkhDFtWtBS+sTcf+bz1k27ShW1QxZc2gs2nrqH/WfP3af/T940bJjTb5e3AOZyrj1kuIyFs85TdTbFBas7EM1R0lOl9SUHObNPY2GhjKLl/ZCQUGOvLwi5i8+j6KCHMsWSdq8/V9x7spj+nWvR4smDkREp7LtsB+NXWzo36UewS9jOX3zCX3b1cW1ugXL9t+iqKSMpeM6cu3hKx6ExjC9VzPScvM56vuYPk1qklVYiOezCCa2a8Sd8GheJ6Uxs1Mz1t68g4mWBrUtjLkW+ppRjeqxMzAIWx0d0ksKSS3Ip7NjNQLfxdOveg08IsLo61Cds29f0Mrchpvx4bSzqMbtd69pZ1aNp5nx1NIzJLu0EDmZcjTlVYjKj6eaujGpxRloKMihLqdCTP7rP/3j/q2IongHyPhZ2y1RFMsqnz4AzP6MsaU+dSlSfgsFBRLXytq1klDFLl0k0S0uLl+85MrJB+xYfhnHOhYs3TEcVXWlj/vPBLFr/Q2atnZm1tKe733l5eUVrF5ygaePopm9qDsNGttXvoRivpt7msKCEjZvHYaenjrl5RUsW+VBUnI2G9YMxNBAg7iEDNZuvUENRxMmDG9OUXEpizZdQUNNie8mdyA7r5AlO65jYazN5AHNOO/7jHvPo5k1uCWqyhK3i4u9KV0aOTNw3TGMtDUY37ERg7ecxM5Il9a17eiz5RgtnWxIzsvjTUo6G/p1Yo3XHSx1tFBSkicmM4vlHdqwyNeb3s7OnHz5HGtNLZ6kJaKlpExORRHlFRUoyAnICjLklOWjLq9IbEEahkpqPMuKwUXHjNCcKJrq2/A4Kww9UQZjJW3iC+NxVjchqSi3Sj7a+Og0Zg/fUyX3+hWMQpLh9kesBUF4AuQA80VR9P+9N5Za6lKk/BqKimDTJknBitmzJb7zwEC4fPmLCr2iooIDG26ybakH9Zs7sGLPyE8U+s1LT/hh5RUaulfj21W9kZWTZGUURZGt668T4POK8dPa0qZDLQDKyypYuvgC0VGpLFzcCxsbAwD2HrjDw+Aopk5qS80aZhQVl7Jg9SUU5ORYPLsbcnKybD3sS3R8OvOndkRLQ5llO2+SlVvI8ildSMnMY9NJPxpVt6R3y9qsOn6b0rIyFg5ty45r94hJyWTxoLYc8ntMYmYuC/u0ZsUlH2RlZJjYphE/+DygmZ0Vb9MziM7I4quWjdn5IIgWNtbcjHyDopwcVjraRGZl0snBgfvv4ujj4MzlqFf0sHXiVvxr2prb8SA1hlYmtoRlJ1FL14i8siLKKEZXQY2w3ChqaJqTUpyOhoIs6nLKxBdGUU3N8s/73L+M3o8pTSqPcb/2QkEQ5iHJg3WssikRsBBFsS7wNXBcEASN3/vCpJa6FCm/RHEx7NsnCUd8906ygejcOWjS5BcvKy0pY+P88/hcCaFTvwZMmt/1vcL+Ea8rT9m45BIujWyZv7bf+3wuAEf2+r3Puth7YCNAouh/2HKToIeRfPVNR+o3sAHA2yf0/cJot851ANi0y5uoWEk8uoGeOt73XnHh5lMGdnWlQW0rTlx/xN2QSL4Z3gobcz3GrjyJgrwsC0a340ZQOL5P3zK9VzPS8ws46vuYvk1roammxNE7j+nTqCbRGVncj4hlQY9WHHrwmJKycoY3dWHCyUt0cq7G3dg4isrKaFXNmvm3vZnh5sbuJ0G4mZpzI/o1VhpaPEpLQE9JhZSSXFTlFYguSMdIWZ2QrDjsNfQIzoiknq4FoTmRuOlb8Twrg5KKPAyVNEkoTMBR3ZjU4lwSi8Kr5KM2s9Jj7aGxv0p23eFxaZX5rH4TgiCMALoArSvzZSGKYjFQXHn+SBCEt0A1IPi33h+klroUKZ8nJwfWrZP4zCdPRrSxwWfG9+xpNf1/KvT8vCIWTTyMz5UQhk1ry5RF3T9R6NfOBbN+4QVq17di0YYBKCj+tKjqcS6Yo/v9ad+lDqMmtnrffu5sEJc9ntB/YCO6dJVEuryJSGbdxuvUrG7GlImSNE3XvJ5zzes5w/q50cDFmpiEdFZtv0mNaiaMH9SMV1HJbDtxh+audvRpW4fD14J4EZnEnKFtKKsQWXPiNnVsTejTvBaLjt7CWFuDKV2asPi0F5oqygxr6cLaq364WJlgbaDD5aevGNnYhQMPHiMvK0u32k6cevqcgXVqsvfxI2x1dHiXn0t+SQmu5qZEZGXQ1kaSDqCHnRN+7yJpY25HaFYSDQ3NSCjIwl5Tl8LyEgrL8zFU1CA0O5I62la8K0pBS14edTll3hVGY6liSIVYXlWf+p+KIAgdgNlAN1EUCz5o1xcEQbby3AawByJ/7zhSpS5FyockJ0t2flpYSNwsTk7knrnEQtuhrL30jrTkHMrLK754eXpKDrOH7eFZUCRfr+jNwAkt30ex/Mj5Y/fZvPwy9ZvYsXTzYJSUFd733br6lG3fX6dRU3tmzPkpAuZuwGt2bveimbsDY8ZK0utmZOazYOl5NNSVWbygB/Lysrx89Y7vt3tSr7YFIwY0pqCwhO/WeUgWT7/pSml5OQu2XkVbQ4XvxrbjdWwquy/dp11DB9rUr8aigzepEEWWjerAnpuBxKZmsWhQW07ff8bLuGTm9mrB7tsPKSgpZW7Xliy67IWZtgbVjPXxfxvNFPdGbAy4j4GaKroaKkRnZTG0Tm1Ohz5nYI1aHA97Sj1DE27Fvaaapi53k6MwVdHgRZakAMb91EhcdM25k/qKRnpWROUnY62uhUgFmaVpmCrpklCUgKmyJvIysqQVx2CnZvMnfBH+GIIgnADuAw6CIMQLgjAa2AqoA54/C110B54JghACnAUmiKKY8bn7/hqk7hcpUgAiI2H9eti/H0pKoHdvmD2bgDRFflhwjsK8YqYs60WnQW6fKOkfCX8Wx9KpRynML2bxtmG4VuZk+ZAT++5wcKs3TVs78+2q3h+5XLxvPuf7FR7UcbVm3rLeyMpJbK5nT2NZtuQCDo4m73OjFxWVMm/RObKyCti8fhA62qqkpucyb9VF9PXUWDxLIrdutycxCelsXNAXA111Vuy5SXxyJlu/64eCvBwLdl9DW12Z2UNaccz7MY9ex7NoWDuyCgo57P2Inm410FZXYfvN+7SrbY+WmjIeT8IY36oht8LeEJOexbZB3Vh+yxd7fV0EOYHQ5BRWdGjDigA/mltZcflNODrKyigoyJJWWEC3ao7sDwtmVA0XDoQHMdihNiejHtPF0oGb71Kpq2SETD5klmZhqqzFy5xI6mhbEp4bTnVNIypKlHlXGIOdmjGpRdFkFFdNObv4yFRmD9xeJfcSRXHgZ5r3fUH2HPBp8p/fidRSl/LfJiQEBg4Ee3uJ73zoUHj1ity9h1h34g0rJh/G0ESbHy7PoPPgxl9U6N4eT5g1bA8KinJ8f3zCJwpdFEUObvPm4FZvWnWqxXer+3yk0P28XrJu6SVq1bVkydr+KCpJ3DERb5KZ/90ZjI21WLmqH0pK8pSXV7By7RXCXycy/9tuOFQzpri4lHkrLlJYVMKq+b3Q1FDm4q2n3PIPY0z/JtSvZYl3YDiXfV8wvFtD6jmbs/7YbaITM1gytiMp2flsvXiXlnVs6djAgcXHPNHVUGFatybMP3kTDWVFZnZ3Z+lFbyx0tWjuZM2+gGB61HHmeVIyCdk5TG3hxuaA+zS1suRpShJFZWU0sbQgODGBEXVcOPIyhC62DpyPfIGbkQWXY0Kpo2eMT9IbqmsZcif5DU0MrLmb+pqmBrbEFKRiqqqOrCCQUpSItaoRMQUxH1jpsViqGFMqFv9pX49/IlJLXcp/j4oKSabETZvg5k1QV5ds7Z8xA0xMeOQfzsYR35OZmsuQ6e3oP6k1cvKf1goFSdjhwY03Obvfn9oNbZi7YSCa2qo/G66CPRtucf7YfTr0dGHavK7vwxYBAnxfsWrxBZxrmrF03QCUKhX6u4RMvp19ElVVRdasH4imlgoAu/b64n/3NZMntKZpY3tEUWTt1puEv01ixXc9sbbQIywiic0HfGhU15phvRrxLjWb1Xs9qW5rzJhebtx88AoP/5eM6tKQOvYmDF19Ag0VReYPacPO6w948y6NzeO6cfr+c8LiU9gwvAtnH74gJi2L3SN7suKaD5rKSgxsWJvBh07TpboDN16/oaS8nP51azLl6mUG167N/qePqKFvwKOUBBRkZdFSUSS7uAgLLQ0epEfR1tKW51Hx1NU3IrIgiVKhGE15ZaIL3mGpoktodiQuOpa8yg3HSFkRTTlV3hXGYKtqTHpxNDmlcVipVI37xcxGn7UnJv0q2XUnJ1fJmH8GUktdyn+H3FzYuhWcnCT5WJ4+lWwgio2FtWvJVdFi89wzzB++BxU1RTaem8rg6e2+qNDzc4tYPOkwZ/f702VgQ5bvHvmJQi8pKWPt/POcP3af7gMaMn3+xwo98O4bVi44h4OTCcu/H/h++39GRh6zZ52QxKqvG4BB5S5Sj6shnDkfRM/u9ejTUxJ8cfpSMJ5+YYwa1JSmDe3IyStiwQYPdLRUWDitE6Vl5czd5IEILJ3SiaSMXFYd8qKWnQlje7ix68oD3sSnsWBoW6KSMzjgFURPtxqY6muy89YDOtSphpm+Jnt9g+ha15HIzEyeJyTzbQd31t8OQEFOltbOdlwOC2dsQ1e2BwVioKqKqqI8iXl5dHVwxCcuimE16nD6zXM6WlXjUvRL2pnbczn2Be5GNvglvaaZkQ1PM2NpoGfBu8JMjFRUUJCVI6EwAXs1U+IK4zFT0UFOkCW9JBYLFSPKxGLyS3/3muK/EqmlLuXfz9u3EmW+f78kqqVBAzh2DPr0AQUFRFHE+3wwe1ddJjerkD7jWjD0q/YfRaT8nKjwRFZ8dYKk+AymLupOp/4NP5HJzy1iyTcneRoUxaipbeg3sulH7pvgB29Z+t0ZrO0MWbFhECqqipLr8ouZO+cUmRn5rN8wCMvKAhjBj6LYvPUWDRvYMHm8JCrm0dMYdhz0w93NnmH9GlFeXsHSLVdJzchj+9KBaKors2rvLcKjU1j3TQ8MddQZu+oUgiCwfHwnXkYncehmMD2a1MDF3pR+q49iqqvJVz2aMXH3BdSVJG6XCQcuoqWqxKjm9Rm07xRN7SwpqignMDqOhR1asiXgPuaaGqgrK/IyJYWlrVqx/K4fne2qcTL8GTaa2kTkpiMrI4MgKyKKIvJyUCZWoCwvg6yMQGpJJkZK6jzPjqS6hikvsiOp96OVLiigq6BBXEHEB1Z6PObKJuSUVE2N0n8LUqUu5d+JKIK3N2zZAleugKyspNrQtGnQ8CcFHBuRzNYF53geGIljXUtWHu6NjZPJL9xW5Oa5YHasuPw+y2JNV+tP5FKTs1kw9RixUanMWtaLNl1qf9R/1+8VKxecx8JKj1WbBqFWuSmppLiMRQvOEhWZyvKVfXFylhTGiIpOZfHyi1hZ6rFwbjdkZWWIf5fJorUeWJjq8N30TgiCwO4T/tx/HMU3Y1pTvZoxV/xecMnnOcO7N6SZiy07zt3lRWQSKyd2Rk1FgbEbrmOko87Xfd1Ze86XpMxcDnzVjwsPX/IsNok1QzpyOvA5r5PS+GFYN7b63qesvJwpLRsx5uRFXC1MKRTLiUjPYHWndiy940MzS0sCE+MBsNLV5kpsODMbNmH9E3+GOdXhaMQjetpUxyP+GT0sa3Dl3VPamVbDLzWU1sb23EsLxUFDB5VSBWIL4nBQNyOhSKLok4syySiJw1zFiMyStxSWvcNUyRZJ/Z0/RvzbFGb32fyH7/NXI1XqUv5d5OZKrPAtWyAsDAwMYMECGD8eTH5S1kWFJZQUlTKt+ybkFeSYtrIP7fs1eJ9z5XMU5hfzw5JL+FwJoW5jO2av6YeW7qcZAqMjkpk35SgFecUs/2HIRwUuAHxuvWDN0ovvXS4/1hwtKSlj0cJzhDyJYc7cbjRoKLkuOSWHOfPOoKgkz8qlfVBRUSQ7p5DZS88hILByXk9UVBS45R/G0YsP6d62Nr061OVNTArrDnjjWt2CcX0a8+hVHAeuBtKtWXXa1K/Gt3uukpyZy96Z/QgMj8UjMJSx7RuipabM1uv3aFHdBksDbb49e4NudZ0QZAU8QyP4qk0T9gc+prC0jBktGjPm/CVa2FgTEBdDSXk5XR0dmOV9kzF163Ho5WOam1txMTIUCzVNInLT0FBQJKEoE00FZWIL09BRUCEyPwkrVV0eZ7yhvq41L3LCaahrw8ucMEpEOQwVtYkteIujuiXJha/JLY3HTMmY3NIIiso+KXf8n0aq1KX8O3j8WFLE+dgxyMuTbOM/fFhinSsqvhcrLSnj2okHnNjqyewNg/l6bX9qNbRF62cJtn7Oj+6WxNh0hk1rS/9xzT/7AxDyMJKl35xCUUme9ftGYutg/FH/jcshbFx1+X2Uy48ul7KycpYtucDDwLd8PbMTbdvVACA7u4BZc09RUFjC5vWDMDTQoKS0jHkrL5CSmsPGZf0wM9EmPDKZVTtuUsfZjK9GtSKvoJi5my+joabE0smdyc0vZuHu65gbajNzcCsuBLzA89EbpvVsiqm+JtP3XMLZ3ICR7VwZs/0cCnKyzOnRgqlHPNBRVWFKWzeG7D+NnYEu1vo6fO93l+ktGnPw8RNKy8vpXN2Bb25eZ2L9Bmx/9BBLTS0ySwspLCujuoEBfs8jmV7XjS0vAhhgX4szMU/oZ1ObC3GP6WFZg+uJITQ3tOZRZjKF5bnoKWgQmR+Fo7oZ8UWROKobIpQok1oUhZmKIdklURSWJWCkaEJhFSl1M1sD1p6d/qtk1wkzqmTMPwOpUpfyzyU3F06ehF274NEjUFKC/v0lVnmjRh/lMa+oqMDvcgiHN94kKTadWo1s0dRVxeUzseQfUlFRweVjD9i/4Qaq6hJ3S60Gn0ZbiKKIx6mH7Fx/AzNLXZb/MARDE62PZDzOBrH1+xu4NrJl0aq+78MWy8sqWLn8EvfuvmHq9HZ07lIHgMKiEuYuPEtySg7rVvbD1sZAEunyw02ehSawaFZXajqbkZldwNy1F9HWUGb5N12Rk5Nh4babJKZms31+fzTVlZi+4QJZuYXsm9adxIwc1p/ypZGTBUPb1uPrvZcpKC5l+bAOHLz9iOexSawf1hmPJ2Hv3S7b7wSSkpvPmt4dmXP5BnZ6Oljpa7Ph3j2+aubGzqCHmGtoIi8vQ1RWJktatGLRPW8GOdfiSPgTmplYcTkmFCs1bR5lxGKlps3D9Ejs1PUIyniLo4YRjzIjaKhnS0hWKE307HiWnUZBRRYmSnokFMbgpG5BUmE2eaXvMK200kvLCzFUtAEC/9BX6d+ENPpFyj+Px49/cqeMGyfJz7JliyQ3y8GD4Ob2XqGLosjD26FM7baJtV8dR0VVkWUHxrD62ARsnU1/cZjkhEy+G72fnauuUKuBDdvOT/msQi8tLWPTMg+2r7lGgyb2bDo05hOFfvroPbZ+fwM392osXtPvJ4VeXsGa1Zfx833FhEmt6VEZ0VJWVs7iZRcJf53EgrndqFVZ0ejwqfvc8g1l9OCmtG7mSFlZOQs2XCYzp5CVs7qjranKqRuP8Ql6w6QBzajtYMqeS/cJfBnDrCGtsDbVZe7eaygpyrNkZHsuB4Xh9yKSqV2bkldcwm6vQLq6OmFjpMMun0A61nZATk6G849fMrqpKz5vI3mXncuctu4s9/bFyUAfOXlZ3mSkM6FBfXY+CqKDrT2XI1+hraRMEWUUlpbiqKtLVG4GLcytiMxNp76BJB1ADV1D0opz0VdWRF6QIbkoGXMVPV7mhFND04KMknTU5EBDTpXEwrdYqZpSJhZTVPYOI0UTysUCysql7pcPkVrqUv4Z5ObCiRMSF8v/sMpBoizv3njGqe23iQx7h5G5DrM3DqJ51zq/6DcHyQ+B54XH7Fx1BUSRaUt60qGP62c3HmVl5LF05ilePoll4Bh3hk1s+dH9KypEdm3x5MKpQJq3cWbOoh7IVeaBqagQ2fj9dby9XjJqTHP69mv4vn3thus8DI5i5owONK1MuevlF8a+43dp37I6w/pJknxtPeLHk5dxLJjaEUdbIx6+iOGH4340d7VjUCdXAp5Gss8jkK5Nq9PdvQbrTvnyJj6NLVN6kF9UwpozPrjam9HTrQYDNh3DQFON2d2bM+HgRdSVFJna1o3hB89iZ6BLW2db+h84Rb+6NfB6G0lafgErO7Zh6rWrNLeywjMqAlkZgXqmJix/4Mu0eo344fk9+leryYmIEFqY2HAtPow6OiZ4J4bRQN8Sn6RQmujbEJwRTlN9Wx5nhdFQ14o3eSlklaZhrmxIYlEsDmpmpBVnk10ai6mSEfmlbykpL0Bf0YSSKnK/xEckMavruiq511+JVKlL+fsiiuDvL/GNnzol8ZXXrAk//ABDhny2GEVJcRm3Lz7i7G5fEqJSMbPR5+t1/WnZzeWL8eYfkpGayw+LL/LAJ4warlZ8s7IPRmY6n5V9G57I4hknyM4qYO6qPrToUPOT17Ju2SX8vEPp0a8B46e1/ShX+uaNN7h+7SlDhjZh8JAmlW9ZZNdeHzy9XzJ6eDM6d5REzTwPjWf1luvUrm7GrCmSKkcXbz3lzNXH9O3sQofm1YlPzmL+lv9r77zDori6Bv67wIKAoIB0UEFAxIrYW+yCxq7RYCyJ5TV5fV9fkxhLTIzRxB4TE40xVZPYe429RhGxgKKIgKggUqXXXe73x278MDYU4iLP/J5nnp2Ze3fmnNmZs3fOPffcXdRysubj8QHcScnk45V78appywfDO3Pi0g3WHbnI6519ae7tyvDF6zBRGfLZiACW7D7BrZR0fnx7MBuCL3Hp9l0WDA1g5YmzpGTn8NWQXsz6QzvgqEs9D8Zs2sZbzZuyPvwy6uJiunrUYcbRg0xq2YblF8/ga+dIUNItrExMydbkU1SswcXSghMpObR2cOFqVhyWJkYUZ0mkKMJCZUpMzm28LJy4knkdP2sPIrIuYWNsjZXKkrv50XiYu5JcEEmBOgF7E0fy1dGoNTnYmtQBLj3DjVW5UYy6QsXjxg2tIV+9WpuTxdxc2+E5bpw2HPERLeak+Hv8seEM+9YHk5aUiUcDZ6Z/M5w2PRo+MNjncWg0xezdGMyqL/dTkK9m7Ac96TeizSNb9VJK9m07z7L5e7CsbsbiH9/C0+fBMMjsrHw+mbKBsAs3GTuhK4MCW91v6WvUWpfLoYPhBL7RhlFvdbj/vZ9Xn2TDZu3gomGvtwYg5mYyU2Zvwc7WkjnT+mGsMiLowg2++OEgrZu6MWFER3LzC5nyxXYAFr7XD5WRAdOW70JKmP/v3mTmFPDJqv14udgycUA7lmw/QWR8Mkv/1ZfrCSlsOBXGqI5+mFVRsezAaQIaeWFpbsKWC+GMa9+coJtxXLqTyMJ+/sw9chxnS0saONnzw95z/K91a1acD8bL2oY7eZlkFOTj7+HJ3JCjjGvYjO8jzjDMy5dNsefp5uzFoYQIujh5cjzpCgFOPhxNDqW9XR3O3buKW1VLzI2qEJ8XS20zRxILYvGq6kh6YQaphTG4mjqTWXiNQk0OtiZOFKmjUavLZ+YjFw8HFu6cXKq6i8QH5XLOfwLFqCtUDLKyYNMmWLUKjh3TGu5OnbTzfw4YAFUfDh3UqDWcPRbB3jVBhByLQErw6+DFewuH4tvO87F5Wv5O1JV4vp61nchLcTRu6c6Ej/vi4mb7yLp5uQV8/fkuDu0Oo0kLd6Z+PhCrv4U1JidlMn3SGuJvpTJtVn866SJZQBu2+NnsbZw8EclbY16530IHWP37n/y65hQ9/RsxYXwXhBAkJGbw/sxNmJgYsXjWYKpZmhIVm8xHX+zEvaYtn07qjaGBYPaKP7gRn8qSKQNwtqvOwt8OczU2kQUTemsHHC3eSGGRmrlje3I64iZrj10ksKMvjd2cGLBwNR4ONozu0pzhKzZgU9WMdwPa88ZPG3CvYU23+p4M/WU9Pep5EpedRXRqGkv79uLT40eoZ2tLodQQl5nJnE5dmPHnQd6o34TVV89Tt3oNziTdwt60KvF5aRgbGCGFGpWBAenqLKqrzLiRcwfHKlZczbxBo+o1uZ4dRQtrD65kXcbORIW1qhp382/gWdWVlIJo8tTx2Jk4UqCORq3JxUblhFqjjCgtiWLUFfRHcTEcPart3Ny8WTtVnKcnzJmjTaxVs+ZDX5FSEhuRwLHdoRzaGkJKQgZWtha89nZn/Ie0xP4xrpJHkZOVz6qv9rN73RmqWZnzwYLX6Nir8WP/DGKjEpnzwQbiYlMZPr4Tr4/p8NBbQExUIjPeW0dudj6fLQnEt8TApIKCImZ+tJmzwTG88++uDBzc4n7Z2vVB/Lz6JN27NuC9if4YGAjupefw3syN5BcU8c2813G0r0ZyWjaT527B3NSYhdP6Y2ZqzC/bz3Dk7HX+E/gKLRvWZv+Za2w4dJHAHn508vNk4fqjhMUkMG9sT8xNjZn5+37qutgysXdbPly3n7TsPL4Z049lB4OISU7jxzED+fHPEO5mZrH6zcHM3HOIqibGvNXaj2HrNhJQ15NT8bdIyc3lk86dmbh/N696eLHuCymbagAAD5xJREFU2iVszcxRqQTxOZn8u3FLll85xRifZvwcdYbhnn6siw3m1Zo+HLgbRi/n+hxOukgXh7oEpSailjnYGFsSlXOdehZuxOVF4FnVnqwiU1Lyo3E1cya9IELrcjF2pEgTjUZzCxuTWkD5ZGqsDChGXeHFExGhjSdfvVqbd6VaNa2PfOTIByJX/kJKya3riZzYE8rx3aHcjk7CwNCApu08Gf9xP1p29imVv/wvNGoNB7dfYNVXB0hPzebV11sy4r/dqKobBPR3pJTs336BZfP3YGZuwrwVI2jyiCiYk0cjWPDpNszNq7B4xUjqeDrcL8vLLWTGhxsJvXiTd98PoNervvfLNmwOZuVPx+jSyYcP3g3AwECQk1vA5FmbSU7J4ovZr+Fey5bcvEKmzNtKVk4+y2e/jq2NBacuxvDdxpN0b+NNYE8/Im8lM/unfTTycOI/g9qx7+w11h6+QGAXX7o09eTtZVvIL1Izb2RPdp6LYN/FSCb2bEtqbi5rTl9keFtfhIFgTXAow1v5EhJ3h8sJiSwZ0JMvTvyJysCQ3vW9Gb9rB6Oa+PLbpYuYGBribW/LzrPXmNqqA4suHKd/HR823QijobUDR+5ex62qNaH3bmFnUpVrmXHUNrfh3L1IGlRzISTtKr5WtYnMjsTPqjZROankalKwM7EmMf8mHubOpBdmkVUYg1MVV3KLIlAXZ2OjcqJYE4OmnNwvcZEJTO7+WbkcS58oRl3hxXD7tjamfM0abbpbAwPo3l07gXOfPmD6oEHNysglLCia0NNRXDgZSVxMMkIIGrZ0p++odrT1b/TI0ZxPQkrJ6UNX+eXLfdyOSca7sSuzvh2BZ/3HhzZm3Mvh67m7OXEgnCYt3Jjy2UCs/zZQqbhYsubnE6z+4Rje9Z2ZOW8wNiXqZGTkMmP6RiKu3mHq9D507fb/7pitO87z7cojvNK+LtMm98LQ0EA3uGgb0bHJzJ3Rn4b1nNFoipn11W6uxyYxf0o/vNzsuBGXysfL9uBZy47pY7qTnpXH+0u3Y2lehfkTenM7JYNPfz1A4zqOTBzYnlUHQwiOvM3MwG5oKGbe1iO08qrJwFYNGbD0V+rYWTO6Y3OGrFxLbRsrejepx+s6t0tGUQGnbt5mZrdOLDp1EicLC+rUsObny+eZ2rY9y0LP0MrRhcPxUVQ1NsbK1ISkvGwCannyW0wIo+o24/eYMwxya8TO+PP4O9XleHIiViYq4vMhoygNJ1Mbrmdfp0G12tzIuYKnuT1Gwozkgmhqm7qQUXidQk0cNYwdUGti0GiysDJ2QmpuP9N9UNlRjLrCP0dystZPvnatNooFtMm0vvxS2/HpqB1tKaUk5U46UeFxXDkXS+jpKKLD4ykulpiYqmjYwp2+o9rTpkcDrG2fbz7eSyE3+PmLfVy9eAsXtxrMWDqMNl18nuh3P3Ukgq/m7CA7M583J3Rh8Kh2D7lb8vIKWTR7ByeOXKVrQCP+N6UXxib//1glJKQz7YN13L2bwcxZA2jXvu79sh27LrB02QHatvZkxlRt9kaNppjPluzhfNgtPpzUk1Z+7tq5SVcd5WRINJNGd6aNXx1S03OYtHALJsZGLJjUFyNDA6Z9u4vUjBy+nz4Ec1Nj3vlyMyYqI+aN7UX4zUSW7z5NN19P/P3qMuyrdZhXMWZuoD+f7zxCWnYey0b2ZeG+4yRlZfPb6NeY/cdhzI1VjG3bnDfWbaRtrZpkFhUQlZbGkoAAPjlxmGaOTkRnppGrLqJjbTfmnTvGu75t+ebKSQJqerH1Vhjt7d3ZE3cJX2sXTiRH0NjKhdOpEbSx9eDcvXDa23pzIT2MJtVdKSw2IrngNrVMnUgsiKGOuSNZRVlkFEbjZOpKduEVNMVZ2KickJobFGtiqa5yBm48131REhcvRxbu/7BUdReJGWU+3z9FmYy6EGIw8AlQD2ghpXzkRKm6ufm+AgyBH6SU88pyXoUKTGYmbNumNeQHDoBGAz4+MGcOcsgQMqwcSIxLIyHkLjeuXiAqPI6o8Hgy03IAMFIZ4u1bi8D/dKNxG0/qNnZFZfz8t+nlc7Gs/+4oIScjsbGzZOKn/enWr+lDc4aWJDsrj28X7OXgrlDq1HVg3oqRuHnaP1QvMSGdmVM2EBudxLj/dmPg0JYP/ElERt5l+pT1qNUaFi4OpGEj1/tlGzYH8+3KI7RqUYePp/fByMhQm2Z36R8cOXmNd97sSI9O9QFYtTmIjXvOM+RVPwYFNCUvv4j3F28lPSuXFR8NxaGGJYt+P8y5iDhmjfXHx82BT1btJzohlW/+OwCVkSGTf9qFg7UFHw3tyhc7T3A9IYXlY/txLjaePaHXmNCtNbFp6ewMi2BCp9ZcjL9LaPxdFvTtwcJj2j/kd9q2YNTWLfT09OLIzRhyCgt5o3ETJh7ezaj6TfjhSgiNbBwISr5JFUMVVYwNKdCosTM3JTgtD7dq1bkafxMraxWxuZIsdTrWKgtic2JxM7cnKieKxtXcickJx97EmGpGFqQUxFDb1Jmsoixyi2KwM3GlUH1N10p3QBTfBk3ZDfo/gb7sXllb6peBAcB3j6ugm1B1GdANiAPOCiF2SCmvlPHcChWF/HzYu1frWtm1S7tdqxZMnqydVahhQ+ZN/J0z/X4iP7fw/teMVIbU8nKgddf6eNR3pk4DF9y8HR+Ys/N5kFJy7uR11q88yuVzsVSzNufNd3vQZ1jrpx475FQUS2ZtJy01m8CxrxA4tsMDMxT9RfDpKBbM2oZGU8zsRUNp3trjgfKzwTHMmrkFC8sqLP5y2P30uVJKVv9+il9+Pckr7evy4ZTeqFSGFBdLFi3fz74j4Ywe1o6h/ZsDsHXfRb5f9yf+HXyYMKIjmuJiZi7fTcSNROZP6ou3mz07jl9m/cGLBHZvSs82Pmz78zI7ToUztldLmtd15e1lW8jMzWfVu0M5Gx3Huj9DGfFKU9ztrRm09HcaujrQp6kPA779jcYujvg38GTAD2vo6OlGjqaIUzdv82n3znx95gwqQ0O6eLjz7oG9TGjWkm8uBOFU1YIig2JS83IY5dOExWHHebt+S76/fop+tRuwOy6MABcf9t0Jo5ODF6dTL9PZ3pugtDA62nkTci8UZzMz8ovNiM+LxtPcjcSCCDzMncguyiC9MBrnKs7kFEWi1tzGWuVYopXuhEHxPeBume6Z8kafdq9MRl1KeRV4WuhYCyBKShmjq7sO6AsoRr2y8PnnMHs22NrC6NEQGPhQh6dHA2eq17DAwdUaB1dr7F2scXazfcBVUV7E30zlo3/9Qg2Haoyf/io9BjYr1R9FXm4BCz7cjKWVGUsWj8a7gcsj66nVGlZ8uY8athbM+GwQLjVtHiiXUvLb6pM4OVXn8/lDqPGAfz2P7bsu0KNbAyZPCrjvzrmblMGxU5GMHNKakUNa3z/PzkOXaNPUnWnv9MDAQHAr4R4XI+L53xud6ODnoR39GnyNFj41+c9rHbSduiGRtKxXk3GvtuJWUjrX7yQz/bUueLvYse5UKPVc7JjYqy17QyNBwMKhAYTFJwAwf6A/wbfiMDVWMatnF+YeOU7bWjV5pY4by84FM7V9B6LvpeFhZU03Dw/WRIYyr0N3vrsSzDDvJqQU5NDIxpGaltWxrVKVJjZOBKVE09zWlfPpUfhZuxKdfRsns+rUKXDCQEhaWjciQ32HNjZ+hGUEUcvcFQNyMRBFeFn4kZQXgqmhGdbGrcgrPIe5kS3GxjVAHY6RMMPcxAsoe2dp3LU7vNdpZpmPo0Nvdk9IKct+ECGOAu8/yv0ihBgE+Espx+i2hwMtpZQTHlF3HDBOt9kA7ZtAZaMGkKJvIf4BKqNelVEnqJx61ZVSPjnV5lMQQvyB9tqUhipAfontlVLKlSWOVWq7V948tZkkhDgIODyi6EMp5fbyFEZ3UVbqzhsipWxWnsevCCh6vTxURp2gcuolhHhkf96zIKX0Lw9Z9M1TjbqUsmsZzxEPuJbYdtHtU1BQUKis6M3uvYjUu2cBTyGEmxDCGBgK7HgB51VQUFDQF3qze2Uy6kKI/kKIOKA1sFsIsU+330kIsQdASqkGJgD7gKvABilleCkOv/LpVV5KFL1eHiqjTlA59apQOpXB7pWZcukoVVBQUFCoGCgzHykoKChUIhSjrqCgoFCJqDBGXQgxWAgRLoQoFkI8NtxKCOEvhLgmhIgSQkx9kTI+D0IIayHEASHEdd2n1WPqaYQQF3VLhexIftq1F0KYCCHW68rPCCFq60HMZ6YUeo0SQiSX+H3G6EPOZ0EI8ZMQIkkI8cixHkLLUp3OYUKIpi9axmelFDp1FEJklPidPn7RMlYIpJQVYkGbP6YucBRo9pg6hkA04A4YA6GAj75lf4peC4CpuvWpwPzH1MvWt6xP0eOp1x54B1ihWx8KrNe33OWk1yjgG33L+ox6dQCaApcfU94T2AsIoBVwRt8yl4NOHYFd+pZT30uFaalLKa9KKa89pdr9obdSykLgr6G3FZm+wCrd+iqgn/5EKROlufYldd0EdBGlnX5If7yM99RTkVIeB9KeUKUvsFpqCQKqCyEcX4x0z0cpdFKgArlfSokzUDJ5cpxuX0XGXkqZoFu/Czyc7k9LFSFEiBAiSAjR78WI9kyU5trfryO1IV0ZgA0Vm9LeUwN1bopNQgjXR5S/bLyMz1JpaC2ECBVC7BVC1Ne3MPrgheZTf5EpB14kT9Kr5IaUUgohHhdDWktKGS+EcAcOCyEuSSmjy1tWhediJ7BWSlkghPgX2reRznqWSeFhzqN9jrKFED2BbYCnfkV68bxQoy4racqBJ+klhEgUQjhKKRN0r7dJjzlGvO4zRpcgzRetr7eiUJpr/1edOCGEEVANSH0x4j03T9VLSllShx/Q9pO87FTIZ6ksSCkzS6zvEUIsF0LUkFJWtuRlT+Rlc7+8jCkHdgAjdesjgYfeSIQQVkIIE916DaAtFS81cWmufUldBwGHpa4HqwLzVL3+5mvug3aE4MvODmCELgqmFZBRwk34UiKEcPirD0cI0QKtfavojYryR989tX8tQH+0fr0CIBHYp9vvBOwpUa8n2uTJ0WjdNnqX/Sl62QCH0E53fhCw1u1vhnY2FIA2wCW0kReXgNH6lvsxujx07YFPgT669SrARiAKCAbc9S1zOek1FwjX/T5HAG99y1wKndYCCUCR7rkaDYwHxuvKBdpJHKJ199wjI84q0lIKnSaU+J2CgDb6llkfi5ImQEFBQaES8bK5XxQUFBQUnoBi1BUUFBQqEYpRV1BQUKhEKEZdQUFBoRKhGHUFBQWFSoRi1BUUFBQqEYpRV1BQUKhE/B96ToY2mHC/2AAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Parameters\n", "a = 1\n", "b = 100\n", "mu = 0.01\n", "\n", "# Initial guess\n", "x0 = np.array([1,1])\n", "\n", "# Objective function, gradient and Hessian\n", "obj = lambda x: (a-x[0])**2 + b*(x[1]-x[0]**2)**2\n", "gobj = lambda x: np.array([-2*(a-x[0])-2*x[0]*2*b*(x[1]-x[0]**2),2*b*(x[1]-x[0]**2)])\n", "hobj = lambda x: np.array([[2-4*b*x[1]+12*b*x[0]**2,-4*b*x[0]],[-4*b*x[0],2*b]])\n", "\n", "# Constraint function, gradient and Hessian\n", "con = lambda x: x[0]+x[1]**2-1\n", "gcon = lambda x: np.array([1,2*x[1]])\n", "hcon = lambda x: np.array([[0,0],[0,2]])\n", "\n", "# Barrier function, gradient and Hessian\n", "fun = lambda x: obj(x) - mu*np.log(con(x))\n", "jac = lambda x: gobj(x) - (mu/con(x))*gcon(x)\n", "hess = lambda x: hobj(x) - (mu/con(x))*hcon(x) + (mu/con(x)**2)*gcon(x).dot(gcon(x).T)\n", "\n", "# Plot function contours\n", "plt.figure()\n", "X = np.linspace(-1,1.5)\n", "Y = np.linspace(-a,a+1)\n", "Z = np.meshgrid(X,Y)\n", "plt.contour(X,Y,fun(Z),50)\n", "plt.colorbar()\n", "\n", "# Plot constraint\n", "plt.contour(X,Y,con(Z),[0],colors='r')\n", "\n", "# Call SciPy's Newton-CG\n", "xprev = x0 # for plotting\n", "res = opt.minimize(fun, x0, method='Newton-CG', jac=jac, tol=1e-1, callback=callback)\n", "\n", "# Print results and show plot\n", "print(res)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5.2 Central Paths\n", "\n", "Recall that the perturbed first-order optimality conditions for a single inequality constrained problem are given by\n", "\n", "$\n", "\\begin{align}\n", "\\nabla f(x) - \\nabla c(x) y &= 0 \\\\\n", "c(x)y &= \\mu\n", "\\end{align}\n", "$\n", "\n", "for $c(x) > 0$ and $y > 0$.\n", "\n", "Interior point methods track solutions $(x^*,y^*)$ to this nonlinear system of equations whilst maintaining feasibility (i.e. $c(x^*), y^* > 0$) as $\\mu$ shrinks to zero. These correspond to solutions in the interior of the feasible domain (hence the name) which follow a \"central path\" through the feasible domain.\n", "\n", "#### Coding Task:\n", "\n", "For progressively smaller values of $\\mu$, use Scipy's root finding to find and plot solutions to the above nonlinear system for the following objectives:\n", "\n", "1. $f(x) = \\frac{1}{2}(ax_1^2 + x_2^2) \\qquad\\qquad\\qquad$ with $\\; c(x) = x_1 + x_2^2 - 1$ \n", "\n", "2. $f(x) = (a - x_1)^2 + b(x_2 - x_1^2)^2 \\qquad$ with $\\; c(x) = x_1 + x_2^2 - 1$ \n", "\n", "starting at $(x_1,x_2,y) = (1,1,1)$ for suitable choices of parameters $a,b$.\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Parameters\n", "a = 1\n", "mus = np.arange(1.5,0.1,-0.1)\n", "\n", "# Initial guess\n", "x0 = np.array([1,1])\n", "y0 = 1\n", "\n", "# Objective function, gradient and Hessian\n", "obj = lambda x: 0.5*(a*x[0]**2+x[1]**2) \n", "gobj = lambda x: np.array([a*x[0],x[1]]) \n", "hobj = lambda x: np.array([[a,0],[0,1]])\n", "\n", "# Constraint function, gradient and Hessian\n", "con = lambda x: x[0]+x[1]**2-1\n", "gcon = lambda x: np.array([1,2*x[1]])\n", "hcon = lambda x: np.array([[0,0],[0,2]])\n", "\n", "# Nonlinear system as a vector function and its Jacobian\n", "sys = lambda x,y,mu: np.append(gobj(x) - gcon(x)*y, con(x)*y-mu)\n", "Jsys = lambda x,y,mu: np.vstack(( np.vstack((hobj(x) - hcon(x)*y,-gcon(x))).T, np.append(gcon(x)*y,con(x)) ))\n", "\n", "# Plot function contours\n", "plt.figure()\n", "X = np.linspace(-1,1.5)\n", "Y = np.linspace(-a,a+1)\n", "Z = np.meshgrid(X,Y)\n", "plt.contour(X,Y,obj(Z),50)\n", "plt.colorbar()\n", "\n", "# Plot constraint\n", "plt.contour(X,Y,con(Z),[0],colors='r')\n", "\n", "# Call SciPy's root for each value of mu\n", "v0 = np.hstack((x0,y0)) # starting points \n", "xprev = None # for plotting\n", "for mu in mus:\n", " \n", " # nonlinear system and its Jacobian\n", " fun = lambda v: sys(v[:-1],v[-1],mu)\n", " jac = lambda v: Jsys(v[:-1],v[-1],mu)\n", " \n", " # find root of nonlinear system \n", " res = opt.root(fun, v0, jac=jac, tol=1e-10)\n", " \n", " # plot root\n", " if xprev is not None:\n", " plt.plot([xprev[0],res.x[0]],[xprev[1],res.x[1]],'b-')\n", " xprev = res.x # for plotting\n", " \n", "# Show plot\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Parameters\n", "a = 1\n", "b = 100\n", "mus = np.arange(0.2,0.01,-0.01)\n", "\n", "# Initial guess\n", "x0 = np.array([1,1])\n", "y0 = 1\n", "\n", "# Objective function, gradient and Hessian\n", "obj = lambda x: (a-x[0])**2 + b*(x[1]-x[0]**2)**2\n", "gobj = lambda x: np.array([-2*(a-x[0])-2*x[0]*2*b*(x[1]-x[0]**2),2*b*(x[1]-x[0]**2)])\n", "hobj = lambda x: np.array([[2-4*b*x[1]+12*b*x[0]**2,-4*b*x[0]],[-4*b*x[0],2*b]])\n", "\n", "# Constraint function, gradient and Hessian\n", "con = lambda x: x[0]+x[1]**2-1\n", "gcon = lambda x: np.array([1,2*x[1]])\n", "hcon = lambda x: np.array([[0,0],[0,2]])\n", "\n", "# Nonlinear system as a vector function and its Jacobian\n", "sys = lambda x,y,mu: np.append(gobj(x) - gcon(x)*y, con(x)*y-mu)\n", "Jsys = lambda x,y,mu: np.vstack(( np.vstack((hobj(x) - hcon(x)*y,-gcon(x))).T, np.append(gcon(x)*y,con(x)) ))\n", "\n", "# Plot function contours\n", "plt.figure()\n", "X = np.linspace(-1,1.5)\n", "Y = np.linspace(-a,a+1)\n", "Z = np.meshgrid(X,Y)\n", "plt.contour(X,Y,obj(Z),50)\n", "plt.colorbar()\n", "\n", "# Plot constraint\n", "plt.contour(X,Y,con(Z),[0],colors='r')\n", "\n", "# Call SciPy's root for each value of mu\n", "v0 = np.hstack((x0,y0)) # starting points \n", "xprev = None # for plotting\n", "for mu in mus:\n", " \n", " # nonlinear system and its Jacobian\n", " fun = lambda v: sys(v[:-1],v[-1],mu)\n", " jac = lambda v: Jsys(v[:-1],v[-1],mu)\n", " \n", " # find root of nonlinear system \n", " res = opt.root(fun, v0, jac=jac, tol=1e-10)\n", " \n", " # plot root\n", " if xprev is not None:\n", " plt.plot([xprev[0],res.x[0]],[xprev[1],res.x[1]],'b-')\n", " xprev = res.x # for plotting\n", " \n", "# Show plot\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.7" } }, "nbformat": 4, "nbformat_minor": 4 }