{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "#Load ForwardDiff and PyPlot\n", "using ForwardDiff\n", "using PyPlot" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject Text(0.5,1,u'String with Forces in Red')" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Setup functions for force evaluation and plotting\n", "# spring constant\n", "k_0 = 100.;\n", "# mass\n", "m = 1.;\n", "# gravity\n", "g = 9.80665;\n", "# total length\n", "L = 1.;\n", "# this function calculates the spring forces, with no gravity: \n", "# input: a vertically concatenated tall vector of all the interior x positions, followed by the interior y positions\n", "# output: a vertically concatenated tall vector of all the x-direction forces, followed by the y-direction forces\n", "function f_nog(x::Vector, k = k_0)\n", " N = Int(floor(size(x)[1] / 2))\n", " if N == 0\n", " return []\n", " end\n", " xs = x[1:N]\n", " ys = x[N+1:2*N]\n", " rest_length = L / (N + 1)\n", " f_ret = zeros( 2 * N)\n", " xlast = [0.,0.]\n", " # delta x vectors between the nodes\n", " xixs = [xs; L] - [0; xs]\n", " xiys = [ys; 0] - [0; ys]\n", " xins = sqrt(xixs.*xixs + xiys.*xiys)\n", " # direction vectors for the delta xs\n", " xihatxs = (xixs + eps()) ./ (xins + eps())\n", " xihatys = xiys ./ (xins + eps())\n", " f_ret += -k * [( xixs[1:N] - rest_length * xihatxs[1:N] ); ( xiys[1:N] - rest_length * xihatys[1:N] )]\n", " f_ret -= -k * [( xixs[2:N+1] - rest_length * xihatxs[2:N+1] ); ( xiys[2:N+1] - rest_length * xihatys[2:N+1] )]\n", " return f_ret\n", "end\n", "\n", "# Calculates the combined spring and gravity forces\n", "function fg(x::Vector, k = k_0)\n", " f_ret = f_nog(x, k)\n", " N = Int(floor(size(f_ret)[1] / 2))\n", " f_ret[N+1:2*N] -= m * g\n", " return f_ret\n", "end\n", "\n", "# Plots the positions\n", "function plotXs(x::Vector)\n", " N = Int(floor(size(x)[1] / 2))\n", " xs = [0; x[1:N]; L]\n", " ys = [0; x[N+1:2*N]; 0]\n", " figure()\n", " plot(xs,ys)\n", " ylim([minimum(ys) - L/10, maximum(ys)+L/10])\n", " title(\"String\")\n", "end\n", "\n", "# Plots the positions with forces superimposed. An FScale of 0 asks this to calculate its own scaling\n", "function plotFs(f::Vector,x::Vector, FScale = 0.)\n", " N = Int(floor(size(x)[1] / 2))\n", " xs = x[1:N]\n", " ys = x[N+1:2*N]\n", " fxs = f[1:N]\n", " fys = f[N+1:2*N]\n", " if (FScale == 0.)\n", " fns = sqrt(fxs.*fxs + fys.*fys)\n", " ydiff = maximum(ys) - minimum(ys)\n", " FScale = ( ydiff + L / 5) / (7. * maximum(fns) )\n", " end\n", " plotXs(x)\n", " for i=1:N\n", " vx = [xs[i], xs[i]+FScale * fxs[i]]\n", " vy = [ys[i], ys[i]+FScale * fys[i]]\n", " plot(vx,vy,color=\"red\", linewidth=2.0, linestyle=\"--\")\n", " end\n", " title(\"String with Forces in Red\")\n", "end\n", "ourXs = [0.25,0.5,0.75,-0.43,-0.13,-0.6]\n", "plotFs(fg(ourXs),ourXs)\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Plot_Solver (generic function with 5 methods)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Function for plotting a solver\n", "function Plot_Solver(solver, NPts = 50, NIters = 10, Disorder = 1., k = 100. )\n", " N=NIters\n", " x0= zeros(2 * NPts)\n", " srand(13)\n", " x0[1:NPts] = ( (1:NPts) + rand(Float64, NPts) * 0.6 * Disorder ) / (NPts+1) \n", " x0[NPts+1:2* NPts] = ( rand(Float64, NPts) * 0.2 * Disorder ) / (NPts+1) \n", " our_k = k\n", " function our_f(x::Vector)\n", " return fg(x, our_k)\n", " end\n", " figure()\n", " plotFs(our_f(x0),x0)\n", " title(\"Initial String Configuration\")\n", " tic()\n", " results_f = solver( our_f, x0, N)\n", " toc()\n", " #oneiter_xs = results_f[1,1:size(x0)[1]]\n", " #figure()\n", " #plotFs(our_f(oneiter_xs), oneiter_xs)\n", " #title(\"String Configuration after One Iteration\")\n", " final_xs = results_f[N,1:size(x0)[1]]\n", " figure()\n", " FScale = 0.0028747560040170467 # to mimic the initial scale\n", " plotFs(our_f(final_xs),final_xs, FScale)\n", " title(\"Final String Configuration\")\n", " # plot the convergence\n", " figure()\n", " plot(log(results_f[:,size(x0)[1]+1]))\n", " title(\"log |f| vs iteration\")\n", "end" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Newtons_Method (generic function with 2 methods)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# J1. Newton's Method\n", "# Your results matrix should be of size N_Iter x (x0.length + 1),\n", "# where row i contains the results after the i-th iteration:\n", "# columns 1 through x0.length should store x_k, and\n", "# column x0.length + 1 should store norm(f(x_k))\n", "# Remember to use the backslash \\ instead of a full matrix inverse\n", "function Newtons_Method( f, x0::Vector, N_Iter = 100)\n", " results = zeros(N_Iter,size(x0)[1] + 1)\n", " # These two lines are placeholders to show you the output format\n", " # TODO: delete these two lines and code up Newton's Method\n", " results[:, 1:size(x0)[1]] = repmat(x0', N_Iter, 1)\n", " results[:, size(x0)[1] + 1] = norm(f(x0))\n", " # YOUR CODE GOES HERE\n", " \n", " # YOUR CODE ENDS HERE\n", " return results\n", "end" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "elapsed time: 0." ] }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "158603975 seconds\n" ] }, { "data": { "text/plain": [ "PyObject Text(0.5,1,u'log |f| vs iteration')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# J1. apply Newton's Method on 50 points\n", "\n", "Plot_Solver(Newtons_Method)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "elapsed time: 0.001315523 seconds\n" ] }, { "data": { "text/plain": [ "PyObject Text(0.5,1,u'log |f| vs iteration')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# J1. apply Newton's Method on 100 points\n", "\n", "Plot_Solver(Newtons_Method, 100)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Broydens_Method_NewInit (generic function with 2 methods)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# J2. Broyden's Method\n", "# Your results matrix should be of size N_Iter x (x0.length + 1),\n", "# where row i contains the results after the i-th iteration:\n", "# columns 1 through x0.length should store x_k, and\n", "# column x0.length + 1 should store norm(f(x_k))\n", "# First initialize your initial J_0 to eye(size(x0)[1]).\n", "# This implementation should not call ForwardDiff.jacobian().\n", "function Broydens_Method( f, x0::Vector, N_Iter = 100)\n", " results = zeros(N_Iter,size(x0)[1] + 1)\n", " # These two lines are placeholders to show you the output format\n", " # TODO: delete these two lines and code up Newton's Method\n", " results[:, 1:size(x0)[1]] = repmat(x0', N_Iter, 1)\n", " results[:, size(x0)[1] + 1] = norm(f(x0))\n", " # YOUR CODE GOES HERE\n", " \n", " # YOUR CODE ENDS HERE\n", " return results\n", "end\n", "\n", "# Next, implement the same method, except with J_0 initialized\n", "# to ForwardDiff.jacobian(f, x0).\n", "function Broydens_Method_NewInit( f, x0::Vector, N_Iter = 100)\n", " results = zeros(N_Iter,size(x0)[1] + 1)\n", " # These two lines are placeholders to show you the output format\n", " # TODO: delete these two lines and code up Newton's Method\n", " results[:, 1:size(x0)[1]] = repmat(x0', N_Iter, 1)\n", " results[:, size(x0)[1] + 1] = norm(f(x0))\n", " # YOUR CODE GOES HERE\n", " \n", " # YOUR CODE ENDS HERE\n", " return results\n", "end" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "elapsed time: 0.000232104 seconds\n" ] }, { "data": { "text/plain": [ "PyObject Text(0.5,1,u'log |f| vs iteration')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# J2. Apply Broyden's Method on 10 Points: Increase the iteration count until it converges\n", "N_Pts = 10\n", "N_Iter = 2\n", "Plot_Solver(Broydens_Method, N_Pts, N_Iter)\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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8w3PPPce4ceNo2rQpzz//POnp6VUC0UsvvcTIkSN54oknOH78OEOHDnUaiMB2H6KIiAhef/11HnzwQcLCwhg5ciTPPvtsnf/1jIg76X+Zicifwrhx4/jnP/9Jfn7+n/rfR2zcuJHOnTvzwQcfuHSrARFxjfoQichF5/jx4w6vjxw5wvvvv89ll132pwpDp64n2O4ObjQaueKKK87DEon8eanJTEQuOj179uTKK6+kTZs2ZGZm8s4775Cbm8uTTz55vhftrHrhhRdYv349ffr0wcvLiy+++IIvvviCkSNH1nqFnIjUjZrMROSiM2HCBD7++GP27duHwWCgS5cuTJo06U93GfeKFSt46qmn2LJlC/n5+TRu3Jg77riDxx9/HC8v/Z4VOZsUiERERMTjqQ+RiIiIeDwFIhEREfF4aoSuhsVi4cCBAwQFBZ3zf00gIiIip8dqtZKXl0dMTAxGo+v1PgpE1Thw4ICu4hAREblI7d27l0aNGrlcXoGoGhX/yHHv3r0EBwef56URERERV+Tm5hIbG+vwD5ldoUBUjYpmsuDgYAUiERGRi0xdu7uck07VM2fOJC4uDl9fXxITE1mzZk21ZX/99Vf69+9PXFwcBoOBGTNmnNY0i4qKeOCBB6hfvz6BgYH079+fzMzMs7peIiIi8ufg9kC0aNEiUlJSmDRpEhs2bKBjx44kJyeTlZXltHxhYSHNmjXjueeeIzo6+rSn+eCDD/LZZ5+xePFivvnmGw4cOMDNN9/slnUUERGRi5vbb8yYmJhIt27deP311wHb1VuxsbGMHj261v/EHRcXx7hx4xg3blydppmTk0NERAQLFizglltuAWDr1q20adOGtLQ0evToUety5+bmEhISQk5OjprMRERELhKne/52aw1RSUkJ69evd7idvtFoJCkpibS0NLdNc/369ZSWljqUad26NY0bN652vsXFxeTm5jo8RERExDO4NRAdPnyY8vJyoqKiHIZHRUWRkZHhtmlmZGTg4+NDaGioy/OdOnUqISEh9ocuuRcREfEculP1CePHjycnJ8f+2Lt37/leJBERETlH3HrZfXh4OCaTqcrVXZmZmdV2mD4b04yOjqakpITs7GyHWqKa5ms2mzGbzae1TCIiInJxc2sNkY+PDwkJCaSmptqHWSwWUlNT6dmzp9ummZCQgLe3t0OZbdu2sWfPntOer4iIiPx5uf3GjCkpKQwdOpSuXbvSvXt3ZsyYQUFBAcOHDwdgyJAhNGzYkKlTpwK2TtNbtmyxP9+/fz8bN24kMDCQFi1auDTNkJAQRowYQUpKCmFhYQQHBzN69Gh69uzp0hVmIiIi4lncHogGDBjAoUOHmDhxIhkZGXTq1Inly5fbO0Xv2bPH4Z+vHThwgM6dO9tfv/jii7z44ov07t2br7/+2qVpArz88ssYjUb69+9PcXExycnJvPHGG+5eXREREbkIuf0+RBcr3YdIRETk4nNB3odIRERE5GKgQCQiIiIeT4FIREREPJ4CkYiIiHg8BSIRERHxeApEIiIi4vEUiERERMTjKRCJiIiIx1MgEhEREY+nQCQiIiIeT4FIREREPJ4CkYiIiHg8BSIRERHxeApEIiIi4vEUiERERMTjKRCJiIiIx1MgEhEREY+nQCQiIiIeT4FIREREPJ4CkYiIiHg8BSIRERHxeApEIiIi4vEUiERERMTjKRCJiIiIx1MgEhEREY+nQCQiIiIeT4FIREREPJ4CkYiIiHg8BSIRERHxeApEIiIi4vEUiERERMTjKRCJiIiIx1MgEhEREY+nQCQiIiIe75wEopkzZxIXF4evry+JiYmsWbOmxvKLFy+mdevW+Pr60r59e5YtW+bwvsFgcPqYNm2avUxcXFyV95977jm3rJ+IiIhc3NweiBYtWkRKSgqTJk1iw4YNdOzYkeTkZLKyspyWX716NYMGDWLEiBH89NNP9OvXj379+rF582Z7mYMHDzo83n33XQwGA/3793eY1pQpUxzKjR492q3rKiIiIhcng9VqtbpzBomJiXTr1o3XX38dAIvFQmxsLKNHj+axxx6rUn7AgAEUFBSwdOlS+7AePXrQqVMnZs+e7XQe/fr1Iy8vj9TUVPuwuLg4xo0bx7hx405ruXNzcwkJCSEnJ4fg4ODTmoaIiIicW6d7/nZrDVFJSQnr168nKSnp5AyNRpKSkkhLS3M6TlpamkN5gOTk5GrLZ2Zm8vnnnzNixIgq7z333HPUr1+fzp07M23aNMrKyqpd1uLiYnJzcx0eIiIi4hm83Dnxw4cPU15eTlRUlMPwqKgotm7d6nScjIwMp+UzMjKclp87dy5BQUHcfPPNDsPHjBlDly5dCAsLY/Xq1YwfP56DBw/y0ksvOZ3O1KlTeeqpp1xdNREREfkTcWsgOhfeffddBg8ejK+vr8PwlJQU+/MOHTrg4+PDPffcw9SpUzGbzVWmM378eIdxcnNziY2Ndd+Ci4iIyAXDrYEoPDwck8lEZmamw/DMzEyio6OdjhMdHe1y+e+++45t27axaNGiWpclMTGRsrIy0tPTadWqVZX3zWaz06AkIiIif35u7UPk4+NDQkKCQ2dni8VCamoqPXv2dDpOz549HcoDrFixwmn5d955h4SEBDp27FjrsmzcuBGj0UhkZGQd10JERET+7NzeZJaSksLQoUPp2rUr3bt3Z8aMGRQUFDB8+HAAhgwZQsOGDZk6dSoAY8eOpXfv3kyfPp3rrruOhQsXsm7dOt58802H6ebm5rJ48WKmT59eZZ5paWn8+OOP9OnTh6CgINLS0njwwQe5/fbbqVevnrtXWURERC4ybg9EAwYM4NChQ0ycOJGMjAw6derE8uXL7R2n9+zZg9F4sqKqV69eLFiwgCeeeIIJEyYQHx/PkiVLaNeuncN0Fy5ciNVqZdCgQVXmaTabWbhwIZMnT6a4uJimTZvy4IMPOvQREhEREang9vsQXax0HyIREZGLzwV5HyIRERGRi4ECkYiIiHg8BSIRERHxeApEIiIi4vEUiERERMTjKRCJiIiIx1MgEhEREY+nQCQiIiIeT4FIREREPJ4CkYiIiHg8BSIRERHxeApEIiIi4vEUiERERMTjKRCJiIiIx1MgEhEREY+nQCQiIiIeT4FIREREPJ4CkYiIiHg8BSIRERHxeApEIiIi4vEUiERERMTjKRCJiIiIx1MgEhEREY+nQCQiIiIeT4FIREREPJ4CkYiIiHg8BSIRERHxeApEIiIi4vEUiERERMTjKRCJiIiIx1MgEhEREY+nQCQiIiIeT4FIREREPJ4CkYiIiHi8cxKIZs6cSVxcHL6+viQmJrJmzZoayy9evJjWrVvj6+tL+/btWbZsmcP7w4YNw2AwODz69u3rUObo0aMMHjyY4OBgQkNDGTFiBPn5+Wd93UREROTi5/ZAtGjRIlJSUpg0aRIbNmygY8eOJCcnk5WV5bT86tWrGTRoECNGjOCnn36iX79+9OvXj82bNzuU69u3LwcPHrQ/PvzwQ4f3Bw8ezK+//sqKFStYunQp3377LSNHjnTbeoqIiMjFy2C1Wq3unEFiYiLdunXj9ddfB8BisRAbG8vo0aN57LHHqpQfMGAABQUFLF261D6sR48edOrUidmzZwO2GqLs7GyWLFnidJ6//fYbl1xyCWvXrqVr164ALF++nGuvvZZ9+/YRExNT63Ln5uYSEhJCTk4OwcHBdV5vEREROfdO9/zt1hqikpIS1q9fT1JS0skZGo0kJSWRlpbmdJy0tDSH8gDJyclVyn/99ddERkbSqlUr7rvvPo4cOeIwjdDQUHsYAkhKSsJoNPLjjz86nW9xcTG5ubkODxEREfEMbg1Ehw8fpry8nKioKIfhUVFRZGRkOB0nIyOj1vJ9+/Zl3rx5pKam8vzzz/PNN99wzTXXUF5ebp9GZGSkwzS8vLwICwurdr5Tp04lJCTE/oiNja3z+oqIiMjFyet8L8DpGDhwoP15+/bt6dChA82bN+frr7/m6quvPq1pjh8/npSUFPvr3NxchSIREREP4dYaovDwcEwmE5mZmQ7DMzMziY6OdjpOdHR0ncoDNGvWjPDwcHbs2GGfxqmdtsvKyjh69Gi10zGbzQQHBzs8RERExDO4NRD5+PiQkJBAamqqfZjFYiE1NZWePXs6Hadnz54O5QFWrFhRbXmAffv2ceTIERo0aGCfRnZ2NuvXr7eXWbVqFRaLhcTExDNZJREREfkTcvtl9ykpKbz11lvMnTuX3377jfvuu4+CggKGDx8OwJAhQxg/fry9/NixY1m+fDnTp09n69atTJ48mXXr1jFq1CgA8vPzefjhh/nhhx9IT08nNTWVv/3tb7Ro0YLk5GQA2rRpQ9++fbn77rtZs2YN33//PaNGjWLgwIEuXWEmIiIinsXtfYgGDBjAoUOHmDhxIhkZGXTq1Inly5fbO07v2bMHo/FkLuvVqxcLFizgiSeeYMKECcTHx7NkyRLatWsHgMlkYtOmTcydO5fs7GxiYmL461//ytNPP43ZbLZPZ/78+YwaNYqrr74ao9FI//79efXVV929uiIiInIRcvt9iC5Wug+RiIjIxeeCvA+RiIiIyMVAgUhEREQ8ngKRiIiIeDwFIhEREfF4CkQiIiLi8RSIRERExOMpEImIiIjHUyASERERj6dAJCIiIh5PgUhEREQ8ngKRiIiIeDwFIhEREfF4CkQiIiLi8RSIRERExOMpEImIiIjHUyASERERj6dAJCIiIh5PgUhEREQ8ngKRiIiIeDwFIhEREfF4CkQiIiLi8RSIRERExOMpEImIiIjHUyASERERj6dAJCIiIh5PgUhEREQ8ngKRiIiIeDwFIhEREfF4CkQiIiLi8RSIRERExOMpEImIiIjHUyASERERj6dAJCIiIh5PgUhEREQ8ngKRiIiIeLxzEohmzpxJXFwcvr6+JCYmsmbNmhrLL168mNatW+Pr60v79u1ZtmyZ/b3S0lIeffRR2rdvT0BAADExMQwZMoQDBw44TCMuLg6DweDweO6559yyfiIiInJxc3sgWrRoESkpKUyaNIkNGzbQsWNHkpOTycrKclp+9erVDBo0iBEjRvDTTz/Rr18/+vXrx+bNmwEoLCxkw4YNPPnkk2zYsIF///vfbNu2jRtvvLHKtKZMmcLBgwftj9GjR7t1XUVEROTiZLBarVZ3ziAxMZFu3brx+uuvA2CxWIiNjWX06NE89thjVcoPGDCAgoICli5dah/Wo0cPOnXqxOzZs53OY+3atXTv3p3du3fTuHFjwFZDNG7cOMaNG3day52bm0tISAg5OTkEBwef1jRERETk3Drd87dba4hKSkpYv349SUlJJ2doNJKUlERaWprTcdLS0hzKAyQnJ1dbHiAnJweDwUBoaKjD8Oeee4769evTuXNnpk2bRllZWbXTKC4uJjc31+EhIiIinsHLnRM/fPgw5eXlREVFOQyPiopi69atTsfJyMhwWj4jI8Np+aKiIh599FEGDRrkkATHjBlDly5dCAsLY/Xq1YwfP56DBw/y0ksvOZ3O1KlTeeqpp+qyeiIiIvIn4dZA5G6lpaXcdtttWK1WZs2a5fBeSkqK/XmHDh3w8fHhnnvuYerUqZjN5irTGj9+vMM4ubm5xMbGum/hRURE5ILh1kAUHh6OyWQiMzPTYXhmZibR0dFOx4mOjnapfEUY2r17N6tWraq1nTAxMZGysjLS09Np1apVlffNZrPToCQiIiJ/fm7tQ+Tj40NCQgKpqan2YRaLhdTUVHr27Ol0nJ49ezqUB1ixYoVD+Yow9Pvvv7Ny5Urq169f67Js3LgRo9FIZGTkaa6NiIiI/Fm5vcksJSWFoUOH0rVrV7p3786MGTMoKChg+PDhAAwZMoSGDRsydepUAMaOHUvv3r2ZPn061113HQsXLmTdunW8+eabgC0M3XLLLWzYsIGlS5dSXl5u718UFhaGj48PaWlp/Pjjj/Tp04egoCDS0tJ48MEHuf3226lXr567V1lEREQuMm4PRAMGDODQoUNMnDiRjIwMOnXqxPLly+0dp/fs2YPReLKiqlevXixYsIAnnniCCRMmEB8fz5IlS2jXrh0A+/fv59NPPwWgU6dODvP66qurG215AAAgAElEQVSvuPLKKzGbzSxcuJDJkydTXFxM06ZNefDBBx36CImIiIhUcPt9iC5Wug+RiIjIxeeCvA+RiIiIyMVAgUhEREQ8ngKRiIiIeDwFIhEREfF4CkQiIiLi8RSIRERExOMpEImIiIjHUyASERERj6dAJCIiIh5PgUhEREQ8ngKRiIiIeDwFIhEREfF4CkQiIiLi8RSIRERExOMpEImIiIjHUyASERERj6dAJCIiIh5PgUhEREQ8ngKRiIiIeDwFIhEREfF4CkQiIiLi8RSIRERExOMpEImIiIjHUyASERERj6dAJCIiIh5PgUhEREQ8ngKRiIiIeDwFIhEREfF4CkQiIiLi8RSIRET+xErKLFit1vO9GHIWaX+6h9f5XgBxr7JyC16mCyv3frv9EI/+axPhgWbuvCyO6zvE4H2BLSPYDjoHc4qoH+iD2ct0vhdHzrEj+cVYgfBA8/lelFpZrVZ2Hi5gR1Y+u48UsOtwIbuPFJB+uIDM7ALCfU0kNI+ge/MIejSvT8vIIIxGw/lebKmjw3lFTPxkE6nbDtMiKohucWEnHvWIDPY934t30VMgugjsPVrIR+v2crSghNt7NKFNg2CXxpv51Q6mf7GF+iYrQeEhRAaZiQr2Pfm38vMgMwFm934cyi1WXlm5naAnx/PVhs8BGDBoKs+37siwS+MY1L0xIX7ebl0GVx3LLmDca//ljwPHOO5lxhAVSXSIL9HBfsSE+hId4ktMiJ/9b4NQ3wsy1EndFJWWs2JLJsu++ZU/Nv0OQMNLmnNVr9Zc0y76ggtHR/KL+eSn/Xy9Yj27s3IpNxo5EBxpf/+J1Le4a91/ALj59mlM3tIGgHr+3nRvGkaPZvVJbFqf1tEXVkCqqAExGC6cZTrflm8+yJRF61j9zI0AfN+kA4MHPst7q9MBaFLfn25xYXSMDcVsMlJutVJmsWKxnPLXaqX8xPNAs4lbEmIJC/A5j2t24VAgukCVW6x8sz2LD37Ywx8//MzElW9SYvLmveZdKRt2Jyl/bUnDUL9qx/9800FuvrEHD+QfYVe9BvQZ+RY7DxXUOM9AsxeRwWYa1fNnxGVN6d0y4qytz+H8YsYu/InvdxxhUnkZvmUlAIT6efNzbhHPfbGV11J/57Zusdx5aVNiw/zP2rzrKreolInPLWbu88MBmN+pL48nj+Jwfgmb9+fay/mVFBFemG0bxy+QgMhwGtbzo1E9fxrV86NhqO15w3q2EKVapguT1Wrll/05LF63j09/PkDO8VL+vvEL/vvlTAD+ce04nswqY/Knv9KreX2u79CAvm0bEOJffXi3WKwYDO45oZeVW/hm+yE+WreX1N+yKLNY+XTuBDpk7KDMaOLBD9YSV9+fuPoBXJrdGNbZxrs9IYaAoHDWpR/jWGEpX/6ayZe/ZgIQ4ufNZS3CGZsUT8uooLO+zK6wWKxs2HOMzzfu58tfDpBdXE5is/pc0SqSy+MjaB4RcEEGJKvV6tblyiksZfJnv/LJT/vxLym2D2/ZIIShPZuwNv0Yv2XksvtIIU3XfENaaTFFXj6satG92mmaLOXc98Nisg1Gno+IocPD9zKwW2NMZxCKrVYrx0vLOVZYyrGCErILSzlWWEL28VKyC0oI9ffmtm6xF/RxUIHoAnMor5iP1u1lwY972J99HIBOhblc/cdaADKC6vPUhn18tukAw3rFcf+VzQn1d0z3m/fn8NDijaQabDUWsd4WPry7B1l5RWTlFpOZW0RWnuPfwpJy8ovLeGXWkwBsD2vIR2Of5MnrLyE65MyqYtfsOsqoBRvIyivG38fEFS0jYL3tvbeGJLDEHMs73+1iW2Yec75PZ+7qdK5p14C7Lm9K58b1zmjedVVQXMbwOWvJOXzcPuyW9lF0GnMZGTlFHMgpIiPnOAezi4j+biWP/PNhAKZdfgczew3gQE4Ra9OP2Ua0WgkvzMarvByLwQAxMTQ8EZTswenE84ahfm6vofMk5RYrBqix1qOidmXxun1sy8yzD48J8aVPqwj40vb6+vbRbG8UwqZ9OXz3+2G++/0wTyzZzOXxEdzQsQHxkUH8cSifHVn5/J6Zz45Dtmar0jILPl5GzN4mzF5GzF4m22svo/1vsK83EUFm+yOy4nmgLxFBZvx8Tp48dmTls3j9Xv69YT+H8k6eGDs2CqFRkDdkgJePN68N6nxyJf99Mtzc3D6Km69OpLTcwi/7c/hh5xF+3HmUnb/u5PFPXsWCgUXvtcM4bixjk1oSeA4+jxaLlZ/2ZvP5poMs++UgGblF9N65ntWLJwEw49JBPHXZYAAahvpxRctwLo+P4NLm4TUGUncrLivn622H+HTjAVK3ZhLgbaJFZCAto4NpGRVIfFQQ8ZGB1D/DGsVvth/i0Y83kZFbhNEAIy+Ng5dt70UE+/HU39oBth9xG3Yfo3viEPxzjpIV0ZDHb7wBk8GAyWTAZDDgZTRgNNqe+5YV8Y9pHwCwunEH/v7JZSxau5cpf2tHp9jQWperrNzCss0ZfLx+H5k5RfbgU1JmqVI2rDCH4es+JcvkxcsdO3HfC2PP676ryTk5As+cOZNp06aRkZFBx44dee211+jevfr0unjxYp588knS09OJj4/n+eef59prr7W/b7VamTRpEm+99RbZ2dlceumlzJo1i/j4eHuZo0ePMnr0aD777DOMRiP9+/fnlVdeITAw0K3rejqsVis/7DzKBz/u5r+/ZlBabqsuDvHz5taERtxpMcH7trLXdY3jy2Zh/LDzKG9+u5OFa/Zwf58WDOsVh6+3iUN5xYyct46iUgsEBkDeIbwKC+jZvH6Ny5BfXEZmznGaTVuPwWIhvDCb//vlIN9sP0TKX1oypGeTOvdFslisvPndTqZ9uY1yi5X4yEBm3d6F5v/3hb2Mj5eJ27rGcmtCI779/TBvf7eT734/zOe/HOTzXw7SMNSPrnH1SGhie7SKCnJbn6jjJeWMmLuW9buP0db/ZAg0W8poGxNC25gQxxH894KtEoH7rmzO1Xf1Yv+x4+w7dpx9xwo5cDSfOXfdAMC6hm245fZpZOUV89OebKfzD/X3ttcsxdUPoEn9ANsv/fAAooN9z6hJIyOniJ/2HOOnvdls2H2M/dnHMRoMeJ04WJqMJx9elZ77eBlpHhFIu4YhtIsJIT4q0KWmwX3HCkn9LYvUrVls2pdNgxA/WkcH0erEo3V0ENHBvi79srZarWTlFbPlYC6/Hcwl/XABBcXlFJaUUVBSzvES2/PCkvITjzL7dwjAaACT0YCxYj0NBgwGKCgpp9xiK+fjZSS5bTS3dW1Er+bhmN7+wz7+la0iuXL4ZaQfLuDzXw7y2c8H2JqRx/eb9/HTht8pM3lR5OVDqcl2kH9+2Sv02/IV3uXl9Bn5T3bXiyHPcZVI3r6aAT//F6PVysyet7Iwtp3TdQ8yexERZMbHy8jWjJNTqR/gw02dG3Jr11haRQfB7BP7xOuUQ3rl12VlAHibjHRpXI8ujetx/5VQ+nsY3i+lAVDi5c2473bx6c8HmHBtG27sGHPWaz+sVis/78vh800H+HzTQQ7kFDms76XNwuyvL20ZydoW9Vm7y/aZ/XDNXj5csxejwda3K9Dshb/ZRICPFwFm2yPQbMK/4rWP6cQw2+sgXy+Cfb0J9vMi2M+bQB8vl79X5RYrP+48wn82HmDZ5oPkFZUx47NpvPLbd3hZLfS8bw4/pjvWqtcP8CE+KpD4yCDiwgOICfGlQagfDUJ8iQg0VzvvguIy/m/Zbyz4cQ8ATcMDmH5bR7oEVypvPPk9DPb15spWkRDgCzkQaTbw1pCu1a9M3snPUlxkEEFmLzbty+GmN75nYLdYHk5u7bQZrbCkjMXr9vHWdzsZ/Mkshh/ahcliYditk7EYbeHd22Qg1N+Hev7ehPr70PZIHqPTFgHwYe4hbpndjffu7F5jC8f54vZAtGjRIlJSUpg9ezaJiYnMmDGD5ORktm3bRmRkZJXyq1evZtCgQUydOpXrr7+eBQsW0K9fPzZs2EC7draDxgsvvMCrr77K3Llzadq0KU8++STJycls2bIFX1/biWzw4MEcPHiQFStWUFpayvDhwxk5ciQLFixw9yq7LOd4Kf/esI/5P+5hR1a+fXjnxqHcntiE6zo0wNfbBCv229+LjAjhw7t78PX2Qzz/xVa2ZuTx3Bdbmbs6nQeTWrJo3V4O5BTRLCKAqIYRcDAd8vPBYnH4Ap0q0OxFYD1fWzmgReNwOjcO5ac92UxZuoWP1+/jmZva0cXFGpucwlIeWryRlb9lAXBT54b8303t8Pc55SN34mBrMBjo3TKC3i0j+O1gLtbrr6f1hv9hxErHMR/yn422X7oBPiY6NQ4loUkYCU3q0blxKMG+3litVnKOl7LnaCG7jxSy52ghe4/a/u45WkhGThH+PibqB5qp5+9NWIAP9fx9bH8DfAjz9+GzTQf4YedRAs1evNCvK7x2YhlLSpyvZKUrPQJ9ve0nGQcjjWCx0CnKn09HXcq+Y8fZf+w4+7NtwWl/9nH2Hyskt6iM7MJSxv3nNYJKCjnkH8qEPnfaJ+PjZSQmxBd/Hy/8fEz4eZvw9Tbhf+K5n4/ttd+JYb4+JopKytm4N5uf9hyzn3TiD+1m1pKpeFnK+c8lV/Ly5YOr3YfPfDmTmNxDFHr7MqrfY/blaNMgmHYxwbRvGEK7hiG0jArCZDSwcW82qb9lsmprlv3kvWzOaGJyD3HYP5Sku2c7TD/Y14vW0cEOIalZRCAHc47z28E8fjsRgLZm5HG0oASsVialvsklVit7Q6J4p/tNTpf729kjiM47QmZQfS6/9x0sVrCUWwHb/goqLmDZu6MA2N46gf2vzObGDjHV/2o9sZ/jwgN4oE8LHujTgh1ZeWx75R2um/4gAO/dMpptg+6ieUQgvbeFYf7FFj4+urMrBc3iKSm3UFJmobjM9jfy7XXEf2Jryzp++xBad2nCobxiDuUX22tyi8ss5BWXMXbZLOKOHaDcaOKjCa9ya9dYrmodiY9Xpe/zibBTJRB5V1qn0lKnq+fNyc9xjxYRNKnvz+4jhYxduJEP1+xhyt/audyMVvE9PJBdxMGc4xzIKeJg9nEO5hRxIPs4B7OPk5FTRInl5DwDfEz85ZIorusQw+Xx4fj+twyet73XrVk48+/qwfGScn7YdYRvtx+i2avPc9WPy/EpL+X2gc+wOSKu1uXqvXM9ZUYT2b6B/Brdwj7cYLAd+4J9vfH1NmK1gsVqtX1mrNZKr60UlpSTV1RmHzc62Jf4iEC8ttiOmZOS4/nJJ4wdmflsz8pj79HjHCkoocm33+O3fwuHrRbea305e0OjAfAyGogK9iUm1JcGJ/ohxoTYaopfTf2dPUcLARjWK45H+7a21RYeOXJypZwdzyv2dzX72q683P40pn4gq/5xJc99sZV/bdjHh2v28sXmDB5Jbs2AbrGYjAaOFpQwd3U689LSOVZom3a3zO10Td8EwGf39iCkXiCh/j4E+JgcQ/RaL3jc9tTL34/fs/K5aeb3zBnereqPzPPM7YHopZde4u6772b4cFt/jNmzZ/P555/z7rvv8thjj1Up/8orr9C3b18eftjWFPH000+zYsUKXn/9dWbPno3VamXGjBk88cQT/O1vfwNg3rx5REVFsWTJEgYOHMhvv/3G8uXLWbt2LV272lLya6+9xrXXXsuLL75ITEyMu1e7Rpv2ZfPBD7v59OcDtpocwN/HRL/ODRmc2Ljqh6T4ZPU4ZjMGg4E+rSK5Ij6CJT/t56UV29mffZxH/mX7cAb5evH2kK54Lat0ECsshNpqx46fbCYKCA7kX/f2YuHavTy/fCtbDubSf9ZqBnaLpUez+ngZjZiMYKr812DAaIT8ojKmLN3CvmPH8fEyMvmGtgzqHnvyS1LLJaNtGgRDdBAVJ7D7ezfjf8esbNyTTV5xGd/vOML3O2wHBoMBGof5c7SgxOFgVdmSeQ/S6tAejnub6TJmAbuclEnc8wtGq4XufgE8PPEO2vpWCkHVHVwqr0d1v6J9fKCoCK/yMjo0CqVDI+fV0blFpew/dpxm79yJ+XAW2REN+PHeR9l9pJDynbt49ZOp+JYVk9qiOy/0HuZ8XhWzLCvlmm3/o8TkzcHgCA7EtMJogFbRwVwbGUmLd/cBMDjOh8vu60m5BcosFsotVvujzGLl0o9+J3DXDor8A+nRLIxf9+eSV1zGz3uz+XnvyVouH5MRPx8TOcdPbiejAbo2CSPWUEJQUT5+AX489JeWbM3MY1tGHrsOF5BbVMaa9KOsST9a4/pUTK9ZRCDD138GQFa7LrS6ZRL+PqYTDy/784bve2HKKSMmwIu1jyfZO5FarFYsFrAeO0qjGYcAaFTfAD2aVJ1h5f3p5PPaIjKIFm3C7a+H9W4JN3ewvZh38nsX5WeCCCffu+iT3/Fr2kZxTT/HGiKr1Up+cRlZecVELXuCwD82YjWZSB7WzfkGOoNAVPEjCCC6XgBfjruCt77dycyvd/DDzqNc+8p3DL80jgHdYjlWWMrhvGIO5xdzKL+Ew/nFHMkv5vCJ51m5xRwvLXc+H6Drvl/5dv6jAKRedwdlz79A75YRth9+Tpan4qTv52OiT6tI+rSKhJX1YKVt/710fTxZbTpRUFJGQXEZ+cXlFBaXkX/idWGxrSvAGy9Owau8nN8bxjPo3jfILSo9cTsC6PjbWh75di4Gq5W3u/XjP237VFnul5ZOJ2H/b1iNJt597WOuSYyne9MwTFvn2sv0bRNB35Yt7a8LS8r4I6sA09OruOTrOQCUtG3HspA4MnOLKLNYbT+Iso8Dtmb2hjlZROUfIdRowtwsnqcG96BXi5OfM2fbxoHPiVqd6n7EVagUiDCZiAgyM/22jgzsHsuTSzazNSOPCZ/8wsK1e2jfMIR/bdhnP1c1DvPn7sub0nlNOKTbJtE2KgACqun3Wen8dU3XprwVFcj2zHwG/PMHZt3ehcvjz15f1TPl1kBUUlLC+vXrGT9+vH2Y0WgkKSmJtLQ0p+OkpaWRkpLiMCw5OZklS5YAsGvXLjIyMkhKSrK/HxISQmJiImlpaQwcOJC0tDRCQ0PtYQggKSkJo9HIjz/+yE03Vf1lWVxcTHGlHZebm1ulzNlw53trWbU1y/66VVQQt/doTL/ODQnyreYXauUPt/lkm7TJaKB/QiOu69CAZXOX0fmx+yk2euF95zCaRSRDUKVAlJdXeyAqOll1jZ8fRqOBvyc25q9to5i6bCv7lnzB0a2r+QIry1td6nQS4QXHiMo/SjAG2sTFMe2uy2jX8DR+BVQ6Id1zRTPuCQ+n3GJle2Ye63cfsz8ef3sCIUX5ZAWGMebGR4gMMtM4zJ/GYf7Envjbcok3fgeLMXub+OienhwtKOFYYQlHC2yPYwUlPDl7GPVyDlMc0wjzu2Mdf4m5UENUbSDy9rZt11oOUMG+3gQ38IZS22cwtH4Ic4bbmpXLdsTiNctWWxTaoyvNbk/geGkZx0ssHC8tp6jU1kxU8dr7UCZTpk8HYOelSWRMGkLHRqG2PkpbtsBDtnmGm42ENwmrujAVTvRf8fU2sXBkTywWK7uPFrJ5fw6b9+fwy/4cDmzfzYx5EykzmtjQrCOb7n2YpDZRXNkqwta37SV/yLQ1O46++mSTdlFpOX8cymdbhi0gbc3IY9Sz99Ih/RcsBhN3vbSc+CYRtGkQRJsGwbSMCsLXywj/sI0fGejDbV1jnS/3iV1hMkBEkJM+HMbiqsOqTMOFZpTKAaNyEHElhFQ+mVmq9rswGAwE+XrbjgleJ2pRa6jhrTYQOWkyq+KUk6yvt4nRV8fTr3NDnl66hVW/7GfByl9ZuHKzQ9NgZc2P7GX+R5MAK5+16c1b142kQYit5qOiBiQm1Jf4bcB82zhXt4mCttG1Lk8VlY6Bbev70rZ11ZaGKtMbagsA8Y3DWfeE7dxRVGqr8SlfdIToj3YA8FDHUIbc3RODwdbEajSAAQNNv3uewF8zAJjSrwP4nzj5V97Xp2xffx8v2jcKgUo/gp68pjVPXn81ZeUWsvKKbbVoFbVp2UX0ePMj+n4+D4CC/64koHIYcmXbnEYNEaaTYbRbXBhLR1/GBz/s5p0la/FN28w2g4HQ4Cgi2jTnnt7N6Ns22tZtwceFzzk4nFcCQwNZfG8v7nl/HT/sPMrwOWuZfltH/tapYc3Le464NRAdPnyY8vJyoqKiHIZHRUWxdetWp+NkZGQ4LZ+RkWF/v2JYTWVObY7z8vIiLCzMXuZUU6dO5amnnnJxzU5fmwZB/O/3w1zbPprbezQhoUm92tvoT6khOpWvt4mbW4bAEdsvfywnriarHIDy86uMV0WlGiJ8T/ahCQ+0/XrIf2YYgb9sxGIwMHDW9w6XcZaV2/72X/kpd3/+JgAFCxcTUFsYqm7dK3/ZTwQPk9FAmwbBtGkQzO0nftVbXtyJ8VAWpbFN+G1KX4dOqHYnhhkN0L1pNQHgAds8zBV9h3wqtZ+fSSCqmE5tB6gKhbZqcvxOtq97BQbYn0eZyunbzslJpLL0k0G4WaP6NGte6aDqysm6QsX6nVg3o9FA0/AAmoYHcENHWy2rdXcDDC9uB6BLz7YY/97FcRrVrL+vt6lqv6z3AuGPMqCM+ff0ctwH1S1bTc5W35fq5lX5BFh5u1ZeblcCUXn1NSrAyZOgqYarc86khqjy/CstV2yYP28O6cr2Sam0nGKrzf+/AY+xofcN1A/wITzITHigmYhAH+IO+NHobdsPvbvbhnDfk39xPq/ck32zqm3Cr0Mgcjg2Vqea46fviWZnQk/WbDSu50djZz8SvCp9lipv48rPq9u+pqq1X14mIzGhfsSE+pFQuYLy2wiw3ZGEAD8nYd5NNUSVeZmMDLu0KTftXkvIi7b9vvsfT9J41BDHc1UNYdBB5R/aZjMhft7MvbM7Dy/exPLNGUQGXTj3T9JlLSeMHz/eoWYqNzeX2NhqfoGegbsua8adlzat29UHlb/Q1Z0knNUi1TUQVf7g+lb9kAb626ZrtFr5aGQP5yec4rSTX+gzuUql8rSd/IKuYDzRrObtZcTbWRhyVcXBrOJLfrYCUcX0ajtAge2gUrEclQKRw/PKobU6NQXoMwhEzhgqHViN3k5qOF09QIPjQfrUE/u5Vtcaosrr7so2dnKSrFbF+6dTQ1THJjNnoatlg5Oh9fFrWsPQXlWnsfnk8cWrpk1XeV7VbePaypylQOR0HtXti8on/MrbyJVQULl8beG3hqDi0vuVa4is1uq3cW3TAULMJ4c3iQisOi1XwiA4Pa+YvUzMGNCJLVfknl4Lgpu49agTHh6OyWQiMzPTYXhmZibR0c5/5UZHR9dYvuJvZmYmDRo0cCjTqVMne5msrCyHaZSVlXH06NFq52s2mzE7+7KcZfVO5wZYtX2hTy1TcRI6tcmsNqc0mVVx6hfb2UnrbN1SvpY+HFXeq+lk4YqKE3bFtnPlRFKXGiJXAkHlsONfqT2+roGopmB7lgNRtSeKU+dXUlLzAfrUadW2P135TJzu+66WP5NAVEuTmYOKk9c5ajKrwpVlrev3tbp5uVKm8jGw8me9OqfUUFThyrJXU4vmUiioy76uvI+cHV9drSGyWqs/RoNLgajW/eDKZwuqPR4ZjYYLKgyBm/+XmY+PDwkJCaSmptqHWSwWUlNT6dmzp9Nxevbs6VAeYMWKFfbyTZs2JTo62qFMbm4uP/74o71Mz549yc7OZv369fYyq1atwmKxkJiYeNbW75xxJRBVPuFWfCnOUpOZXV1+6UD1J7+77oJPPrE9WrRwXsbVA2zFAaKmE60rJ8CK7VdxMjMaT66vK2GmthoiV5rMKm//yiHI2/vkAekCqyGqtVanck1bTQfNytOqqXaoLs1grpStroy7a4jqcpI8kyaza66BL7+EVaug0q1LHFR3sq/Lstb1+3rqONWVcWOTmdN51FZD5OXluNznuoYoIgJWrLDt0wkTqr7v6vfblUDkan8lOK1AdCFye710SkoKQ4cOpWvXrnTv3p0ZM2ZQUFBgv+psyJAhNGzYkKlTpwIwduxYevfuzfTp07nuuutYuHAh69at4803bf1SDAYD48aN45lnniE+Pt5+2X1MTAz9+vUDoE2bNvTt25e7776b2bNnU1payqhRoxg4cOB5v8LstLRvDw88YPtiV7rXkgNngWjQIOje3VZT1LZt7fOp7YPryhfblfDRoYPtURMnfYhqnN+ZnPzKy09++SufwH/6yfalDwhwPp4r61qXGqKK/kPgGIgMBtvrggLHMtU5XzVEtQWi0lLH+Vc3rZpO/KcuW13fc9WAAfDXv9qeh1Zzo7pzHYhqqiHauNE2r1PLNGpke7gyfXC+7c91DZE7A5Gz45ory17dZ/Ns1xDV9gPDzw8qXVBURUCA7eHtXXNI8faGhATb/OLinJepbT+cQZPZhcrtgWjAgAEcOnSIiRMnkpGRQadOnVi+fLm9U/SePXswVtrYvXr1YsGCBTzxxBNMmDCB+Ph4lixZYr8HEcAjjzxCQUEBI0eOJDs7m8suu4zly5fb70EEMH/+fEaNGsXVV19tvzHjq6++6u7VdY8+fWyPmjjrQ9Sype3hqoYNISXF9gF2VoNX+QtwJjVErnCxD1GdAlF1Kn+ZK5/A27evebzkZNi+3bYM4eHOy5xuDZH/KZew+vvbAtGFXEPk7GR6al+sU9fL2bRqqyGyWt3fqbrixFKTC6nJrLqTmivCw+Huu23L0aNH1ffPdQ1Rnz6wcqWtrLPjlztriGprMqupj9bZqCGqrQm6NkuXulYuNhbWrau5TG37ytUaoshIuPRS23nFyb0HLyTnpOfiqFGjGDVqlNP3vv766yrDbr31Vm699dZqp2cwGJgyZQpTpkyptkxYWNgFdRNGt3NWQ1RX8fFw4nJtp+raZHYm6vqL86HKKaoAACAASURBVExOfpW3XU01GKcKCnLsp+XMRx/ZToqu7JPqmswqv76Q+xA5CzKV51dbLZkrNUQX0v+yqu6y+5tugtatbevepUvV8QDatIFRo2wn49pqb11pMjsTTZvCiRp4p1y5Iu5s1hBFRdke1TmfnapP3QeDB0Niom3/d+5cdbxTx6lLDZG79rerattXV19t+9Hg5QX1arhh72232R4XAV1l9mfhypVoZ+psNZn9/jscOGB73qWL81AxfjwMH247WFVX+1J5fu6oITobWrVyvWxICAwdags9XU+57X5dAlFtNUTTp9v+1taUMnSo7X5MNd2/qrZA9OCDMHCgbX61hUdXaoiuucZ2Uqmu6RjgvfdsodDZhQFgq6X65z9tz8/kStL774e//c32+WnT5uRwV2pme/RwXhvjzB13wOHDtddYOXPoEKxda9tPLVvaglpdnesaotp07w6zZ9s+2zX8Cyi7kpKTNYtnu4aoVavav+P160O7drbjZ0gtnYhr+z7l58O339qWuVEj23TdpbYms7//3fb4E1EguhjUdnUOOK8hysmBNWtsX6ImTar/teqqs9Wp+pVXYOaJfwK2bp2tLftUri6rK4Ho5ZchN7f6X1zV1RD961+2QGAywYgRri3PmWje3HYyd+bBB237s7ZQAbZtERZmCwWnNlEZjbZmUVdMnlx7mdr6PNTW1FuZKzVEn31W+3Qq+v5Ux9cXRo6sucyWLbB8ue351VdDx45VyzRoYHu4W233Rysvh1mzbNutUSO44YaT761bB9ddZ3s+eTJMmlT3+Z/NQNStm227Wq22z/vpaN68buP26mXbRmVlzpetZUt4+mnbel5xhfNpTJ4Mx46d3g+mAQNsD1fUVkO0Z8/J/XnnnfDOO3VfHlfVFoj+hBSILgb33w9vv237dbN6tfMOyb172078xcUnD97bt588OTzwQO0ho7zcdmCr7sPv62t7mEy1V/2eKxV9nmpqm66pEyLYTmoVB8zK6zVhgm0bhoY6D0S//27r6wBw2WW19zk6E/fc43rZ/v1tj3MhNtZ2wi4rs514zsTbb9tuD3G+70EEtiDx0Ilber/xhvNAdKEoLYXRo23Pr7zSMRC5eml0TVwJRJGRtlBmMNRcexcebut7V5M9e+CXX2zzbdfuzGrxKhgM1TeHt2gBTzxR8/jnqibk3Xdt27G83Hln/tpCygcfwDff2D4TzzxTfS3wb7/ZfhSYTLZjRcXnp7p5XUhN1W50ARx5pFbFxbaDWVlZ9SeLzp2rtmHX9T5Er7xiOwn4+MCHH8LNNzu+/9FHtU9j7NiT4aG26uGzwZVaDFcYjVV//dV2hdjatbawCrZt5ywQrVoFu3bZDlBDh1bfjHOxatwYJk48O9O66qqzM52zra5XrWX9f3t3Hh9Vfe4P/DNZZoBCEgIJCRqQQIGwvRAQCEgRiIaiVktc0JQLGkGvRK9ARSz2h0sVVCooRSmyKFcoiltVEEHCUiAiDQQVAr0KlkUSwJiECEkmyfn98XSWJGebNQnzeb9e8yLMnDlz5szMOc95vstzVk44drtkHzp1Csx2Oeg1s5jpM7ZtG3DTTXJynDWrYXAwZgywa5f8RrQ6b0dHAw884PGmq9q8WTp5AxIkByM7660ffnB91n36GDdDG2nZUv8YYTRFwj/+IfsMkKyy1vaUlspnCmgH+xMnSnN3ba1+30qjLP1TTwEbNsjF9JtvSp+1JooBUXNgZh4iNd7OQ1RV5f1VupnROWYcOiQHm9paYMQI/dFJgWIUEJmZmHHxYuA/dfhwyy1NIyA6fVq+UxZL4A9Op08DZ87IPuzb11yTn6927ZITVIsW6qMla2okuwfId1UtA2GmCSg3V4LdyEjJekRFyf1bt7oyCosWyUVCfe+/L80oNTXACy8Av/+9+fdXn1bnbsBcQGS3u6ZzUFsmLk5uwWKUBamslP1eWSlZlM4qxXmD5eOPXYHgqlXA5MmBfT2zEzMCvs9DFBGhfx548klpaqytlbmRtDLx334rF4+A91nKIAmNhsHmztsO076U7gjkidvMFff8+dLcN3asnFR9kZcnV0579nj2PMe+1up74MlM1YDxqK5ly6TvzxVXyKSV7n7+WQKLY8fMzWmkZ8AA6YNhlJG56io5IPoSNL34ovQbGT5cglxf9e0rWZf/zDmmKiND3ltmpvrjJSXSCTolBfjv/1ZfxkwTwV//Kq9xxx2uQQKA+ZF8ju+VUfNzQoJ8j7Q60OpliMw0mRllHfypqEj6EH32mQQ1aoxO+v/6l3x2/ftLs5CR3FwJSh97zHVidme3S1/B8+fld6bm//5PTuynTtW938xcPNu2SbAwerQEwr4wmjPK7KhOo/WYYbG41sN5iChozGSIzp+XqzyrVUY1REbWDYg8Ld0RrC+uB8VdVV265Or3pBUs/td/SSfZNm2kc3V9//63NHlZrZKNcnRarB/M1F+/J7XMAONApqxMOm7+9FPDTusPPgislirYKCjQHy20fr3MR2KzSR+r+suanRvJbnf1rdJSVSXfu4gIeb36qXUzNeEcduyQfdqmjXpHe0BOhlVV+llIf5WPMVpfsGqZVVXJerTW5WuTmT9Ojna7BOuOz+8Kjerle/a4muLnz5cgRW97/FHL7OBBwDEHXc+eEqC7+8c/pFkQkNGtzz3XcB3XXCPNTD17yu/PwcxcPEVFkjUEgN/8Rn9bV6+WQDE8HHj00YbHe09mj/Y1Q2TEbP80o4kxmxAGRM2B2qSL9c2dK50/AdfIrYgI+QJWVHheukMtQ/S//wvs3i0/pqefVh9hs3u3HGAA4PbbvR9JYnZixpgY2T/9+8vM0t44dUo6pANyEFELiKqqvAuIPMkQmZmHqP5yavLyXMFTZqb3AZGZEXwbNuif4Dx5/zfdJN/T3r2Bb75RX8bfpTt8eW5TmZjR/WRUPyD1odq905kzEsjU1spn06uX+jKO79ntt2v3N/R3LTN/zFRt5uLLl5mqPRmdu3q1K3iaPt3zgMjsBYiZgGjvXuCjj+R1MjLkGOuOpTuoUXhbywyQq7WKCv9kiLZtk3ZyQH6sagFRTo6rk22/fv4JiAJdpkHrxGZ0cPF3hshopmq15dQYfY7+DIiMht37e2LG+tvm6WPe8CVDpPWe/VnLzNcmM6MM0f79wG23yd/PPKMeEDXnWmZmLr605iEys3+9Le6q9lkEM0OUl+fKlnXv3jAgugxLd7APUXNgpg+RVkDkaDbztA+RP4q7+iIQtcy0aO07oxObpxkio4BAq5ZZ/f97EhCpnQDcK9Dr8Ue1e0/ef7CKu/qr7IeZQDrYGSJfm8yCWe2+KQZERhkib/avP4u7BjND5O/irmFhTWNKDR0MiJoDxw/avep5fVrNap4EREZNZv6aqdoMf9YyM9qmYGWI/NVkZlTg1aiJwJ8ZIk+KuzbFDJGZwCcQfYiClSFybEtkpH5xY7Xt8mRbG6u4q3vwr8XoAsHo4ktRzDWZmckQ+SMgcqwv0Bkifxd3tdma/HxGTTtcI+E4wemNMNPKIrVpI/9v1Up/HiPA/xkirS//woXAggXyt1YTYCBqmWkto5UhiouTIdlWq39GmXmSIarfZBaIDFEwmszM9iGqrXW9npkMUaCLu8bEuJqGYmPVl2kq1e7Dw2VywerqhsPjO3WS5+vti2BWu2+OTWbu9/maITLbZKY1Qe6IEa7fnNp+DlSGyJfiro7938SbywAGRM3Da6/JyCO9A43WSX3HDvNpSvcTrbcBkZkTlZmpA4LZZKZVy2zJEleJETVt2siQdMfIGjX+yhB50ofIbIZIUeRzNMrI+NJkZrYPkT+LWvojSzlunNz0NJVO1d27u+ZVqs/M78LfGSI9Zi4iANds+GrLhIfLraYmOJ2q9YJ+Mxkib5rMzByz1fZNt25SXDgyUn+G71/+Umbir6lRn6sLMM7meZohYkBEfqFVX8edVkDkSZvtn/8ss+xqFcb0V4bIDH82mRnxttr97bfLTU9MjHQ+t1qNP4tg9SGqn7XRCkDMBBaeZIjMBkRNIUNkhtaEiMFuMvPViBHAu+/K69TvOAt4tq2A701mM2e6yqZosdnk9xKMDJHZPlpax0RvOlV7+1n/+tdyM9KrF/Dss/rL+KsP0aOPyjxPTWFSWgMMiC4XZobmG6lf+qO+YHaqNpuCV1veU4Gsdm/m4O6gN8rM24BIL0MEuGZ0VhPMTtVG63FoSn0QoqKAtm3lb/ftSkmRk3VkpPZ76dtXZjkOC9MfiRmMAptJSfrZhKZW7R6Q76y/AiKjDJHed3PECPleh4frN2k6mM0QBSr49YTRd++662S+s4gI+c5ryc72+6YFCgOiy4W3WQ5P+KvJ7O9/lzkuAPmxdOzYcJm//EWaqywWc6OFGiND5G9z5wL33ScBT/0DtycBkdEJYPlyCZoiI/UnOFy7VvaNXtkUo07VGRky23hkpP56zGaIXnhBXrNdO+1lzpzRfgyQIOb77+VvX9L4mzer3x8WZnw13L69zLtkxGKRwKm2Vr3Yp5HqaikLUl0tzbtmg3N3ZjoF+3OUmRkHDsj3xEzWoU8fKa1SWekqr+LOKEOk990MCzMOVDt3lv0eHi4BlB6jJrPDh2WG9LAwyQQ5incHglHwesUV2hNwNlMMiJqDzz+XH0hsrHqle8B1EoyIqPsD/ewzOaCWl8uP0peK7P5qMtu0CVi6VP6+4w71gMjTkUZ6B9e8PP2DdMeOMrW+3V53W9atk1mf7XaZfyXQFc+vu077sV/9SuaDadUK6NBBfz3XXy9X/FrNYWZrP5k52BoFMkbFKh3MZogcxXT1GGX5wsON98HOndKkoCjA/fdLYNcYLBbjwOmrr6Q/SESENOG6lyyxWGQWdgAYNsz3gMjXDNHEiXLztZ+XJwVzH31Ublp69QK+/FLeZ3x8w8ejomT26Joa77Lv3bq5BpEY6ddPXs+9yoC748dds263a+d9QFRdLceHsDDt0ctmmjcvMwyImoP0dDkQXXON/HDVfPCBBD31+yz885+ujsHjx+sHRJs2yYGtbVtg8OCGj/fuLQVKw8PlCldNQoIrcAh0IU+LBdi+XX64ald+DkYn5Jtvllt9BQWu2kPTpjUMiD77TDq8WyzAQw8Ftlp7TIxxk6bDk08GbjvqmzBBOmVWVwM9eni/nthYyUbV1Ph/YkVvFBa6MkBjxzbuthg5e1ZmDAca/r7Dw+X7qSja/ZnOnAG++841Wq3+SDVHJlGvPE67dlK6w2IxV4hZ7wLm00/lFhYmwahec4w//OIXDct5uAsPl7p+wfD22/qPGzVj5eQA99wjv6VZs2QCXTWrVwNZWfL3X/8KTJ3acJkrr5SMVm2tfkbWaHvPnZNMbMuW/u+S4GcMiJq66mrXj0Dv6kTrismTAq8TJki9nu7dgaNHGz6emaldMNPhgQdc1Z8DzWIBRo4M3PqNhowfPy7Nf4AEimp27pSA1G6Xg05TP7l6KjFRfcZyT1kscuJtzCZLd74051y6JBlFu11G86idbMrKpNBoba2ceHw56etVu3fcZ7drd3z9+99dRW7VKrYPHmx87AgP960IsLu9e4HFi+XvsWMDHxD54tw5yf7Y7VIuyej46CujgMhuB06ckL9LSrTXY2ZU5+9+JzctP/0kWevqagkY1S6IysrkIhmQz/LTT7XX1wQwIGrqzJTt0OOepTEq3+HojNsURgN89JEEE7W1wMMPB+8KzZ0/Zqo+edJV18kog5SbK0FYdLRcqQfKjh3SF8FulwOe1jw7O3bIwa51a2DIEO9e6+RJqYFXVSWZpPR077cbkIN9TY18Nldeqb7Mk0/KdzkuTr2J6OJF4PXX5e/kZPXsoDutjNW0aRIoJCQAzz/vur+6Gpg3T/5OS1MPiP71L3kMkH50jgCgvupq+R2EhclVulqG16gfV2SkfnHYYHTc9oSZppp33pGizFVV0lzYWJ3tS0ulXxugfcGoKLKPHdMI+DJbc1Mq7pqf7/oOaxXFbUZlOwAGRE2fmbIdesxmiBQleBNomWkS2bYNWLRI/r79dt8CokWLgPPn5X098YT55wW7ltno0XIA6ddPKnS7u3hRhkZfuiT9g4zmyNGzejWwcqXrNbUCoptvliA6JUUCKG+cPAnMmSN/z5jhe0DUt69cddavOu5u0SI5UfXooR4QlZcDjzwif//mN+oBkZk+Me+8I9+rLl3qBkT+HHZfXu6qxJ6eLs3a9ZkJiPS2xR/V7s364gvpmxcWBtx5p3qgbSZA+8tfXEWkZ83SzyzecosEoK1bS1auvpISYONG+Zy7dgWGDm34+OrVsm9SUupe2JiZh2j/fmDQIPl72jTZdm95UrojmNXutV6LARH5ldkM0cqVrrbe3/7Wdb97QKSXIXL/4gYzQ6QVSJiZmLGmRjqMWyzSp2n4cPXlli6VJsCYGPWA6M9/lqYCq1VGYA0YIPf7IyAyO+y8ttb1Gaj1wSgvByZNkr9vvlk/IOrcWV6rTx9gyxb9bTKaLBLQv/o+eFD2bXi4dPyu3//E7Ps/f16utMPDpenBUUxUS1PoZ+Q4AXpTYd5sOQczwYFetXvAdeLSOmEbTcxoRmWl9EVRFPn+3Xqr+nJff+3q5N2nj/cBUf3ZqvUCou++A44c0R5RefKkK7OTldUwICoqAv7nf+TvSZPqBkRm5uLxpHRHerocpzt3Bv72t4aPG31WwZwI1Uww2MwCoiaQHyVdZgOi6dOBKVNcV+MO7k1mehkiM1/cFSvkarhTJ1cnzvpWrgRGjZJbXp726xkxMzGj3S7B3623Nnzfnjh9Gjh0SIbyamXkjAIHMwGR2YrQagGpJ8Puz5yRTsE//qj+uNm0upmg429/kyv9226Tfaj3WnoH6B9/BF58EZg/X+Y20eJJ7TF/TQxqVMus/snY0ZEZ8L3avZnsTaAzRKdOybElKwt48031dVRUSNDwyCMy0ECLP0p3AJ6V7zDKfPsyD5GZLIknpTu+/FKazvfvV3/c6LPyZ5PZa69JZmvwYPXBPGaCwWYWEDFD1NSZDYi06p2ZbTIz88UtK3PN36K1ruPHZeQXIJ3uvGXmhGR22L3RiV1rHiJP+hBpMRsQGBXWNRsQ1da6DoRa3xdPA6Jg1DIzOqlrbVsweBoQOe6rqvL9JGkme+NrQGT0GiUlkjl1PO7IVLoLZnFXwLuAyEzdRE/nIfJ3hsixDq3fQDCr3Z865bqoVTvee9pk5u2EwUHEDFFTZyYgUhTXl79+QGS2U7XRCRkIbrV7M01mnk7y5mlx12A2menNUg3IwcdxANILiIzqNgH+DYia4kzVRtvtr5nPjQIi92Xq8yZD5G1AZNRk1pSLu2ot40lA5F5tXU0wM0S+zlQdzE7VRp/DZdhkxgxRU2emU7X73C2BzBD5a2LGX/7SVZ9Nq13fTJOZv2a91Srd4e+ASO8ApVfHzP3+CxfqLlufmQA6UAFRMGqZ+ZvWezM6wbv/5tQCIqsV+Pln3wMiMycuo89g9GhpQnWUGdF7DX8Udw12hsj92KWmsTNEnjSZGc1UnZgoM1TX1KhPteLPDJHRZ8UmMwo6MzXK9JaJipL5H1q3Vp9s0cGo0j3gv1pmZup7+bPJzIhWk1lysvSbsFrVZ6n25ygzMxm6Vq0kINLLEJk5AAWzyczsa3maIQp0fbtu3VyT2jlGCLnTqnRf/75gZIhSUmT0UnW1jL6rz9Hc5e1rBDtDZCZo8meTmScZIr1q9752oHd/La3fwJgxrlGHagKVIfK22r2ZjHUTwoCoqRs+XH4kVVXaBxC9LFKrVuYmw7LbXfOVNIUms8bqQ+S+/66+Wv9k0revzKQLaM8b5K8mM8D1uTSlgMhfTWaeVrvX44/vYN++wEsvaT9uNBmivwIiM32Irr1Wbt7ypMnMn7XMtN5Pz56SBVEU7ayW2YDIzHQinlS712syM5Mh0guIHPMV1V+vJ2JjpTO01ao/UeakSZKlr6nRLgflj2r3zBCR34WH6w+F1zqhe2LoUFfpBK0DtL+azMwIZh8io6t9LaNHG0+22K6dzPwbGalf2NFskxlgvg9RU+tUbbYPkb86VQdysj6joe7Dh8tUAmq1sQDvht0Hao6gxx6TbFhNjXowHuwM0dSp6pNZujMbEJnJsBsda/S+4xaLZGzCwqQmmhpvOtB7+1m3amWuUkCnTsb14DzpQ6T1HU5PlxFzFRWe1Z9rJAyILgf+CIgcwsO1f4zBzBB17SqzoDpqqxm9lr+azPxda+eKK2SOIyNmmswc9+v1ITJzRda2rcxzEhlpbs4pXzNEV18t/+qVYPBnp+oRI2R/ak3mGR7uKjPgbbXuiAiZ5bu6Wr051agm1VVXuYpr6r2nYMwibbXqf+8D1YfIl99sx44SgNhs+pkHMxcIvmSIACm+rcds8OuPgMifjLJ5iYly7IyI0P4sPanB2AQwILocmLkK8gd/ZYiefdZVNHXdOulkXd8998hNj9mD68CBUiFeqwCsVqfqYPr1r10dprUO8ImJUq6iZUs5SKtlUsycALKyXIUd9fz8s3GAa6ZTtdacKu7MNpnl5spJS+9z2rhR/7Xat5eJ+szQypK1aSMlSbxltoRDt27y+3aUffDGpEnAnj3yWR054vkxwp8BUefOrmLVjhpX3njkEdds43qsVpkZurJSZnhXExEhFwlhYepV5lu0kGNUTY13RU7bt5dCwWFhchzSYuY3sHYt8PTTciyeN09mWg8Uo2DcUX/wMsKAqKnbt0+uNm02mYBQqypzly5y4FT7wd52mxRMrKiQytjeHlj91an63/92nSSNRogYsdnkAKx3glSb8dXd/fcDN9wggZF7MPL118CwYXL/vfcCr77q27bqcRyM1Q7IDnoTFjokJwNr1sh+9bUoppkTdsuWEmjW1Pg2Oiw6WibzrKnRL9OiFjwHwscfu042zz4r9bIag5mTzp/+JCfJiAjggw8alkc5dQr49lv5u7o6MAFRWJh8NhaLduABAOPHyy1YWrSQDud6kpKA4mLtx6+9Vkp/+LIN119vvFx4uNThq6nR7v/z00+uwttlZerLHD0q5wKrVb3gKiDHtu++k9ccPly9fE9Tq3EXBAyImrqDB6W0BCA/ErWAqGtX4Ngx7XWcOycHRUB+KGoHxJ07pTZTixbAXXdJVqW+a66RoCA8XAIFNb/6leuHFOg245gY3wMqQLtMRHi4a6oCtX4KixYBs2fLSWDt2rolUxpL+/bA3XcH7/WWLzcexWTGNdcAOTm+rycQmkKZED2Owq12u/rFjlGfsc8+A3bvlpPePfdIFsddq1YSxISFaRf5jYz0LWhw9//+n1wEhoUBH36ofVK/3NhswNy5+suYCVL69JHAd8AA7WoBq1YBCxfK37t3qx/Pb7pJMlqKIk2U3ti/X2awb9ECGDlSu09dE8GAqKnztdo90LCemdp6Dh4EliyRv6++Wj0g6tbNuAr72LFy09PUTzAORh2C7XbX56N15VxeLlegVVVyQDBqzqGmwdcO2VlZwD//Kd+Rr79u2CekvFyyOrW1kskz04SpxexM1YB6QLRli+ui6/rrGwZEsbHAe+95v32eOnPGFVyZqbXX2G64Qcr/xMW5ZukPFDMBUWSkfCd8HXafnq5fjLm2Vi4Iq6vl4letCXP9einHA8gFTxMPiAKaBysuLkZmZiaioqIQExODrKwslOtNDgigoqIC06ZNQ7t27dC6dWtkZGSgqKjI+fjBgwdx1113ISkpCS1btkRKSgpedhQL/I/t27fDYrE0uBUWFgbkfQaUvwMirf3fWMMjtU48y5bJ0OfevYEdO4K3Pe78MTFjRISUPrh4Ub8zdE6OXBnPn6+f7fOH3FzJZt10k6svl5rHHpNK4r5U5wbktYYNk6rjvlq9Wor1rlmjvUxqqgT1d96p/nhxsRTHHTcOeOYZ49dUC+C/+UaapxMS5KRQ33ffAV99BRQUqJ+YKiqkdtuf/yxZEC2nT8tnMHs28NFH6suYnam6/rIOTa1pxMz25ORIIDJypP53+NIl+SxOndKfqd8XR48Chw+7mrLqq66WqU8++UR+e74wMw2D47jlj5nh9Vgs8h1euFD6gqrhPEQumZmZOHPmDLZs2QK73Y577rkHU6dOxdq1azWfM336dGzYsAHr169HdHQ0srOzMX78eOzevRsAkJeXh/j4eLz11ltISkrCnj17MHXqVISHhyM7O7vOuo4ePYoot4608U08OlVlZqZqI2YKvJoZ5RRM587JSQfQbis367e/lQNiTIx69ffTp+XHbbPV7YPlSS0zXydmzMmRviqAZOeSkxsus3q19G25dEnmyOneveEy584BJ07Ie7nySnnP9RUWuk7CelMBvPCC/Dt4MFDvt+WRL78EfvhBtsdXjz4q/eCuuspVoby+gwdlH2ll7SorXXNzmRl5pKaiwtXvRO03VT8rU/9kYHYeosJCOekA0hdGrROtrxkif1S7N2vZMmlqtlgk0B41quEyZgKis2ddv2W9puoDB6SPDCBTC6jNLVVaCjz8sPyer77aNSGnw7ZtwIIFsm/vv18CaXeO/as1F8+lS67npKWpH4MA+RzKyuR1rFb176bZDBHge4bIiGNggF42ivMQiYKCAmzatAn79u3DoP/M9Lp48WKMGzcOCxYsQEeVNsnS0lKsWLECa9euxej/zO+yatUqpKSk4IsvvsDQoUNx77331nlOcnIycnNz8f777zcIiOLj4xGjdkJoTsxkiPLy5ErXagUmTGjYabF7d5lnqHVr7Q6aZr64Fy9KYOEYbaEWYFZX151czNsDrJlRK2VlksWwWGTos2OSxPocHQjbt1d/fORI1+Pnzrnub9FC+mdFRqq3oZsJiBzTGNTU6B+gzASkX30FvPuu/D17tnpA9NFHwH33yd/LlkmV8vrMzkPkoBccvPiijFwKDwdeeUX9u2PmivXTT+U9VmERdwAAHZ1JREFURURI0DNhgv42mR3a7Q9q6zM7U3X9ZR2CWcvMaAI9f811dOONsq969tSe1PLcOcmaAdoXZ/4s7momQ1FZKRcbgARH9QOikyddTd1q3QEc+9zXQr6nTrkGFNxxh/rUDZGRcoFbW6t9LDfzezMTEJWXy74JC5OBE2rLOQIiMxMzhnJx19zcXMTExDiDIQBIS0tDWFgY9u7dq/qcvLw82O12pKWlOe/r2bMnOnXqhFydVGNpaSliVXrJ9+/fH4mJibj++uudGSYtlZWVKCsrq3NrEswERKdPA3//u7TXqg0nnjVLUrVbtmh3UDQTEP3jH/L8Xr1c/Y3qmzNHttNmA3bt0l5m3z65de2qvoyZgOjiRWk+ee01c7Nxa3EcOOofYNq2ldE5BQXq79fssH/Hev01U3X95d35a6Zqs+/t00+BlSuB11/XPtg7DtB6wdePP0rAt3+//K3Fk749vvQDioiQz6FVK/UgI1gBkT+q3b/+uuvkpjZ6yeg1LlyQPiJXXqnfYX/jRvk+7NmjvUywq90HYx4iowyRN/MQaY3Y/J//kQvB8nLtJmh/ZYgeflguEmNjtZsDjd47M0SisLCwQRNVREQEYmNjNfvyFBYWwmq1NsjqdOjQQfM5e/bswdtvv40NGzY470tMTMTSpUsxaNAgVFZWYvny5bjuuuuwd+9eDBgwQHU98+bNw1NPPeXJWwwOX2uZmeX+4/GldIcZV12lP7QaCMxM1Voc+8/TJknHxIaKon9lbbXKgUEvIPJkpur6y7vzdKZqvW1y8KW4q/vrBbpPg4MnGSKt95aeLvMwaWmMDJHWfnnuOZkWoLpafW4frQDbk9c4eVL+PX9ef11A8Kvd6400NfN78GWmavf7fK1276/fQEKC/Nbi4rSXSU2VfVNTo96sDpgLXh3vXSsg6tVLmkUrKvSnFGkiPA6IZs+ejeeff153mQJHSjTAvvnmG9xyyy2YO3cubrjhBuf9PXr0QA+3TMiwYcPw3XffYeHChfhfjcnUHn/8ccyYMcP5/7KyMiTpzacRLM8/Dzz1lHx5tSYW9MdMy4sXAy+/LK+jtQ5/BURmNEa1e0/33e9/LzcjZjIknsxUXX95d4HIEOkxc1Vr5v17WsussUt3mA2IIiKMAyKzpTu0TkrR0XLz1uzZUl6mtlZ9FKnZ4M1ikc/F15mq33xTso5684uZzRCZabLxNUOUlCRZG61t9SYb6EtA9MUXxstMmaLenO7OzHfPKBh84gm5NRMeB0QzZ87E5MmTdZdJTk5GQkICzp49W+f+6upqFBcXI0FjhtKEhARUVVWhpKSkTpaoqKiowXMOHz6MMWPGYOrUqXjCxA4fPHgwdmk14QCw2WywNcU2zogI4wn7/NHxGpAvvV6H6uZa3NWIVpOZv+zeLdunt2/91WRm5orY/Tvia5OZ+8nCqJNnVZWsV219/izdEQxGAdFbb8ncVFrba7VKp/WwMP35uoLR4dkoYxuogEjvJGs0yad7sO9rHyJfM0Rao//U1m82Q+TLJKf+YiZTt2mT7DOjLGQz4fFej4uLQ5xeKu4/UlNTUVJSgry8PAz8z5w2OTk5qK2txRCNyb0GDhyIyMhIbN26FRkZGQBkpNiJEyeQmprqXO7QoUMYPXo0Jk2ahGcdI3MM5OfnIzEx0dSyzU4ga3G5C2Zx10mTpNnCYtE+YTR2k5lZap2f61uwQDoTX7yoXbvN/aDjS4aoXz8ZJhwZqf1ajiG1iqJf78txENc7gL/1luxjvYDTbIbowQelT4vWdgMyEZxediE2VkYOAdod7Y2MGuUaUq82uMDoCt/RedxISorMtO6Yr6gxeBIQAb43mZnRpYv0jbLZ9PdL+/YykrKiQkrfqPEkQ+RNoGKxSGdsi0U6nGtpbrXMAJn88TISsDA0JSUFY8eOxZQpU7B06VLY7XZkZ2djwoQJzhFmp0+fxpgxY7B69WoMHjwY0dHRyMrKwowZMxAbG4uoqCg89NBDSE1NxdChQwFIM9no0aORnp6OGTNmOPsWhYeHOwO1RYsWoUuXLujduzcqKiqwfPly5OTkYPPmzYF6u42rqQZEvoiPN57Ey5OOv1VV6gcZRfG+ycyfunc3DpwGDJDRhC1bas8UHhMjQ/YrK7Wzii1bGp9cw8LMNQc6vgd6Jwoz5TbMZojMpN+1Ouo72GzAddcZr0dP69b6Jzd/iY83HnEXaP4MiB55RC52fJn9GJBRro7RlHoc803padVKgk6LRT1oGjTINQGht5+5mUEfERHy262u9j5Q96emNj9VEAQ0L7dmzRpkZ2djzJgxCAsLQ0ZGBl555RXn43a7HUePHsVFtw6iCxcudC5bWVmJ9PR0vOpWQ+rdd9/FuXPn8NZbb+Gtt95y3t+5c2d8//33AICqqirMnDkTp0+fRqtWrdCvXz98/vnnGKU258XloCkVd3VUUg/0tgBy0NiwQQ6ueoUi9U7INTWuA3hTL1TYp4/c9Dz+uNyCZfZsGUrta1NWdrZMm1Bd3biBKTVkNiBydEn4xS+0l4mNVa+b1ZgiI/WDzmuvlVug9ekj0380Ff7K5jUjFkVpLnUUgqusrAzR0dEoLS2tM7ljk/Tuu8CKFRIYPfVU4H68drtMRhcRIVmGy6TdGIoigVFNTbOYK4MoqBRFgh3HfDR9+zb2FlEwVFbKMV9RJMhtRlkib8/fDIg0NKuAiIiIiAB4f/5uPiEfERERUYAwICIiIqKQx4CIiIiIQh4DIiIiIgp5DIiIiIgo5DEgIiIiopDHgIiIiIhCHgMiIiIiCnkMiIiIiCjkMSAiIiKikMeAiIiIiEIeAyIiIiIKeQyIiIiIKOQxICIiIqKQx4CIiIiIQh4DIiIiIgp5DIiIiIgo5DEgIiIiopDHgIiIiIhCHgMiIiIiCnkMiIiIiCjkMSAiIiKikMeAiIiIiEIeAyIiIiIKeQyIiIiIKOQxICIiIqKQx4CIiIiIQh4DIiIiIgp5DIiIiIgo5DEgIiIiopDHgIiIiIhCHgMiIiIiCnkMiIiIiCjkMSAiIiKikBfQgKi4uBiZmZmIiopCTEwMsrKyUF5ervuciooKTJs2De3atUPr1q2RkZGBoqKiOstYLJYGt3Xr1tVZZvv27RgwYABsNhu6deuGN954w99vj4iIiC4TAQ2IMjMzcejQIWzZsgWffPIJdu7cialTp+o+Z/r06fj444+xfv167NixAz/88APGjx/fYLlVq1bhzJkzztutt97qfOz48eO48cYbMWrUKOTn5+ORRx7Bfffdh88++8zv75GIiIiaP4uiKEogVlxQUIBevXph3759GDRoEABg06ZNGDduHE6dOoWOHTs2eE5paSni4uKwdu1a3HbbbQCAI0eOICUlBbm5uRg6dKhstMWCDz74oE4Q5O6xxx7Dhg0b8M033zjvmzBhAkpKSrBp0yZT219WVobo6GiUlpYiKirKo/dOREREjcPb83fAMkS5ubmIiYlxBkMAkJaWhrCwMOzdu1f1OXl5ebDb7UhLS3Pe17NnT3Tq1Am5ubl1lp02bRrat2+PwYMHY+XKlXCP63Jzc+usAwDS09MbrMNdZWUlysrK6tyIiIgoNEQEasWFhYWIj4+v+2IREYiNjUVhYaHmc6xWK2JiYurc36FDhzrPefrppzF69Gi0atUKmzdvxoMPPojy8nI8/PDDzvV06NChwTrKyspw6dIltGzZssFrz5s3D0899ZRX75WIiIiaN48zRLNnz1bt1Ox+O3LkSCC21emPf/wjhg8fjquvvhqPPfYYZs2ahRdffNGndT7++OMoLS113k6ePOmnrSUiIqKmzuMM0cyZMzF58mTdZZKTk5GQkICzZ8/Wub+6uhrFxcVISEhQfV5CQgKqqqpQUlJSJ0tUVFSk+RwAGDJkCJ555hlUVlbCZrMhISGhwci0oqIiREVFqWaHAMBms8Fms+m+LyIiIro8eRwQxcXFIS4uznC51NRUlJSUIC8vDwMHDgQA5OTkoLa2FkOGDFF9zsCBAxEZGYmtW7ciIyMDAHD06FGcOHECqampmq+Vn5+Ptm3bOgOa1NRUbNy4sc4yW7Zs0V0HERERha6A9SFKSUnB2LFjMWXKFCxduhR2ux3Z2dmYMGGCc4TZ6dOnMWbMGKxevRqDBw9GdHQ0srKyMGPGDMTGxiIqKgoPPfQQUlNTnSPMPv74YxQVFWHo0KFo0aIFtmzZgueeew6///3vna/9wAMP4C9/+QtmzZqFe++9Fzk5OXjnnXewYcOGQL1dIiIiasYCFhABwJo1a5CdnY0xY8YgLCwMGRkZeOWVV5yP2+12HD16FBcvXnTet3DhQueylZWVSE9Px6uvvup8PDIyEkuWLMH06dOhKAq6deuGl156CVOmTHEu06VLF2zYsAHTp0/Hyy+/jCuvvBLLly9Henp6IN8uERERNVMBm4eoueM8RERERM1Pk5uHiIiIiKi5YEBEREREIY8BEREREYU8BkREREQU8hgQERERUchjQEREREQhjwERERERhTwGRERERBTyGBARERFRyGNARERERCGPARERERGFPAZEREREFPIYEBEREVHIY0BEREREIY8BEREREYU8BkREREQU8hgQERERUchjQEREREQhjwERERERhTwGRERERBTyGBARERFRyGNARERERCGPARERERGFPAZEREREFPIYEBEREVHIY0BEREREIY8BEREREYU8BkREREQU8hgQERERUchjQEREREQhjwERERERhTwGRERERBTyGBARERFRyGNARERERCEvoAFRcXExMjMzERUVhZiYGGRlZaG8vFz3ORUVFZg2bRratWuH1q1bIyMjA0VFRc7H33jjDVgsFtXb2bNnAQDbt29XfbywsDCQb5eIiIiaqYAGRJmZmTh06BC2bNmCTz75BDt37sTUqVN1nzN9+nR8/PHHWL9+PXbs2IEffvgB48ePdz5+55134syZM3Vu6enpGDlyJOLj4+us6+jRo3WWq/84EREREQBEBGrFBQUF2LRpE/bt24dBgwYBABYvXoxx48ZhwYIF6NixY4PnlJaWYsWKFVi7di1Gjx4NAFi1ahVSUlLwxRdfYOjQoWjZsiVatmzpfM65c+eQk5ODFStWNFhffHw8YmJiAvQOiYiI6HIRsAxRbm4uYmJinMEQAKSlpSEsLAx79+5VfU5eXh7sdjvS0tKc9/Xs2ROdOnVCbm6u6nNWr16NVq1a4bbbbmvwWP/+/ZGYmIjrr78eu3fv1t3eyspKlJWV1bkRERFRaAhYQFRYWNigiSoiIgKxsbGafXkKCwthtVobZHU6dOig+ZwVK1bg7rvvrpM1SkxMxNKlS/Hee+/hvffeQ1JSEq677jrs379fc3vnzZuH6Oho5y0pKcnsWyUiIqJmzuOAaPbs2Zqdmh23I0eOBGJbG8jNzUVBQQGysrLq3N+jRw/cf//9GDhwIIYNG4aVK1di2LBhWLhwoea6Hn/8cZSWljpvJ0+eDPTmExERURPhcR+imTNnYvLkybrLJCcnIyEhwTnqy6G6uhrFxcVISEhQfV5CQgKqqqpQUlJSJ0tUVFSk+pzly5ejf//+GDhwoOF2Dx48GLt27dJ83GazwWazGa6HiIiILj8eB0RxcXGIi4szXC41NRUlJSXIy8tzBiw5OTmora3FkCFDVJ8zcOBAREZGYuvWrcjIyAAgI8VOnDiB1NTUOsuWl5fjnXfewbx580xtd35+PhITE00tS0RERKElYKPMUlJSMHbsWEyZMgVLly6F3W5HdnY2JkyY4Bxhdvr0aYwZMwarV6/G4MGDER0djaysLMyYMQOxsbGIiorCQw89hNTUVAwdOrTO+t9++21UV1fjd7/7XYPXXrRoEbp06YLevXujoqICy5cvR05ODjZv3hyot0tERETNWMACIgBYs2YNsrOzMWbMGISFhSEjIwOvvPKK83G73Y6jR4/i4sWLzvsWLlzoXLayshLp6el49dVXG6x7xYoVGD9+vOqw+qqqKsycOROnT59Gq1at0K9fP3z++ecYNWpUYN4oERERNWsWRVGUxt6IpqisrAzR0dEoLS1FVFRUY28OERERmeDt+Zu1zIiIiCjkMSAiIiKikMeAiIiIiEIeAyIiIiIKeQyIiIiIKOQxICIiIqKQx4CIiIiIQh4DIiIiIgp5DIiIiIgo5DEgIiIiopDHgIiIiIhCHgMiIiIiCnkMiIiIiCjkMSAiIiKikMeAiIiIiEIeAyIiIiIKeQyIiIiIKOQxICIiIqKQx4CIiIiIQh4DIiIiIgp5DIiIiIgo5DEgIiIiopDHgIiIiIhCHgMiIiIiCnkMiIiIiCjkMSAiIiKikMeAiIiIiEIeAyIiIiIKeQyIiIiIKOQxICIiIqKQx4CIiIiIQh4DIiIiIgp5DIiIiIgo5DEgIiIiopAXsICouLgYmZmZiIqKQkxMDLKyslBeXq77nGXLluG6665DVFQULBYLSkpKvFrvV199hREjRqBFixZISkrCCy+84Nf3RkRERJeXgAVEmZmZOHToELZs2YJPPvkEO3fuxNSpU3Wfc/HiRYwdOxZ/+MMfvF5vWVkZbrjhBnTu3Bl5eXl48cUX8eSTT2LZsmV+e29ERER0ebEoiqL4e6UFBQXo1asX9u3bh0GDBgEANm3ahHHjxuHUqVPo2LGj7vO3b9+OUaNG4aeffkJMTIxH633ttdcwZ84cFBYWwmq1AgBmz56NDz/8EEeOHDH9HsrKyhAdHY3S0lJERUV5uguIiIioEXh7/o4IxMbk5uYiJibGGbQAQFpaGsLCwrB371789re/Ddh6c3Nz8atf/coZDAFAeno6nn/+efz0009o27at6rorKytRWVnp/H9paSkA2bFERETUPDjO257mewISEBUWFiI+Pr7uC0VEIDY2FoWFhQFdb2FhIbp06VJnmQ4dOjgf0wqI5s2bh6eeeqrB/UlJSV5vLxERETWOCxcuIDo62vTyHgVEs2fPxvPPP6+7TEFBgSerbDIef/xxzJgxw/n/2tpaFBcXo127drBYLH57nbKyMiQlJeHkyZNsigsw7uvg4H4ODu7n4OB+Do5A7mdFUXDhwgXD7jn1eRQQzZw5E5MnT9ZdJjk5GQkJCTh79myd+6urq1FcXIyEhASPNtCdmfUmJCSgqKiozjKO/+u9ts1mg81mq3Ofe/8lf4uKiuKPLUi4r4OD+zk4uJ+Dg/s5OAK1nz3JDDl4FBDFxcUhLi7OcLnU1FSUlJQgLy8PAwcOBADk5OSgtrYWQ4YM8XgjPVlvamoq5syZA7vdjsjISADAli1b0KNHD83mMiIiIgptARl2n5KSgrFjx2LKlCn48ssvsXv3bmRnZ2PChAnOFNbp06fRs2dPfPnll87nFRYWIj8/H99++y0A4Ouvv0Z+fj6Ki4tNr/fuu++G1WpFVlYWDh06hLfffhsvv/xyneYwIiIiojqUAPnxxx+Vu+66S2ndurUSFRWl3HPPPcqFCxecjx8/flwBoGzbts1539y5cxUADW6rVq0yvV5FUZSDBw8q1157rWKz2ZQrrrhCmT9/fqDepscqKiqUuXPnKhUVFY29KZc97uvg4H4ODu7n4OB+Do6muJ8DMg8RERERUXPCWmZEREQU8hgQERERUchjQEREREQhjwERERERhTwGRERERBTyGBAFwJIlS3DVVVehRYsWGDJkSJ25ltSsX78ePXv2RIsWLdC3b19s3LgxSFva/Hmyr19//XWMGDECbdu2Rdu2bZGWlmb42ZDw9DvtsG7dOlgsFtx6660B3sLLg6f7uaSkBNOmTUNiYiJsNhu6d+/O44cJnu7nRYsWoUePHmjZsiWSkpIwffp0VFRUBGlrm6edO3fi5ptvRseOHWGxWPDhhx8aPmf79u0YMGAAbDYbunXrhjfeeCPwG+quscf9X27WrVunWK1WZeXKlcqhQ4eUKVOmKDExMUpRUZHq8rt371bCw8OVF154QTl8+LDyxBNPKJGRkcrXX38d5C1vfjzd13fffbeyZMkS5cCBA0pBQYEyefJkJTo6Wjl16lSQt7x58XQ/Oxw/fly54oorlBEjRii33HJLkLa2+fJ0P1dWViqDBg1Sxo0bp+zatUs5fvy4sn37diU/Pz/IW968eLqf16xZo9hsNmXNmjXK8ePHlc8++0xJTExUpk+fHuQtb142btyozJkzR3n//fcVAMoHH3ygu/yxY8eUVq1aKTNmzFAOHz6sLF68WAkPD1c2bdoUpC1WFAZEfjZ48GBl2rRpzv/X1NQoHTt2VObNm6e6/B133KHceOONde4bMmSIcv/99wd0Oy8Hnu7r+qqrq5U2bdoob775ZqA28bLgzX6urq5Whg0bpixfvlyZNGkSAyITPN3Pr732mpKcnKxUVVUFaxMvC57u52nTpimjR4+uc9+MGTOU4cOHB3Q7LydmAqJZs2YpvXv3rnPfnXfeqaSnpwdy0+pgk5kfVVVVIS8vD2lpac77wsLCkJaWhtzcXNXn5Obm1lkeANLT0zWXJ+HNvq7v4sWLsNvtiI2NDdRmNnve7uenn34a8fHxyMrKCsZmNnve7OePPvoIqampmDZtGjp06IA+ffrgueeeQ01NTbA2u9nxZj8PGzYMeXl5zma1Y8eOYePGjRg3blxQtjlUNIVzoUfFXUnf+fPnUVNTgw4dOtS5v0OHDjhy5IjqcwoLC1WXLywsDNh2Xg682df1PfbYY+jYsWODHyG5eLOfd+3ahRUrViA/Pz8Ym3hZ8GY/Hzt2DDk5OcjMzMTGjRvx7bff4sEHH4TdbsfcuXODsdnNjjf7+e6778b58+dx7bXXQlEUVFdX44EHHsAf/vCHYGxyyNA6F5aVleHSpUto2bJlwLeBGSIKSfPnz8e6devwwQcfoEWLFo29OZeNCxcuYOLEiXj99dfRvn37xt6cy1ptbS3i4+OxbNkyDBw4EHfeeSfmzJmDpUuXNvamXVa2b9+O5557Dq+++ir279+P999/Hxs2bMAzzzzT2JtGfsYMkR+1b98e4eHhKCoqqnN/UVEREhISVJ+TkJDg0fIkvNnXDgsWLMD8+fPx+eefo1+/foHczGbP0/383Xff4fvvv8fNN9/svK+2thYAEBERgaNHj6Jr166B3ehmyJvvc2JiIiIjIxEeHu68LyUlBYWFhaiqqoLVag3oNjdH3uznP/7xj5g4cSLuu+8+AEDfvn3x888/Y+rUqZgzZw7CwphX8Aetc2FUVFRQskMAM0R+ZbVaMXDgQGzdutV5X21tLbZu3YrU1FTV56SmptZZHgC2bNmiuTwJb/Y1ALzwwgt45plnsGnTJgwaNCgYm9qsebqfe/bsia+//hr5+fnO229+8xuMGjUK+fn5SEpKCubmNxvefJ+HDx+Ob7/91hlwAsC//vUvJCYmMhjS4M1+vnjxYoOgxxGEKqyN7jdN4lwYtO7bIWLdunWKzWZT3njjDeXw4cPK1KlTlZiYGKWwsFBRFEWZOHGiMnv2bOfyu3fvViIiIpQFCxYoBQUFyty5czns3iRP9/X8+fMVq9WqvPvuu8qZM2ectwsXLjTWW2gWPN3P9XGUmTme7ucTJ04obdq0UbKzs5WjR48qn3zyiRIfH6/86U9/aqy30Cx4up/nzp2rtGnTRvnb3/6mHDt2TNm8ebPStWtX5Y477mist9AsXLhwQTlw4IBy4MABBYDy0ksvKQcOHFD+/e9/K4qiKLNnz1YmTpzoXN4x7P7RRx9VCgoKlCVLlnDY/eVg8eLFSqdOnRSr1aoMHjxY+eKLL5yPjRw5Upk0aVKd5d955x2le/fuitVqVXr37q1s2LAhyFvcfHmyrzt37qwAaHCbO3du8De8mfH0O+2OAZF5nu7nPXv2KEOGDFFsNpuSnJysPPvss0p1dXWQt7r58WQ/2+125cknn1S6du2qtGjRQklKSlIefPBB5aeffmqELW8+tm3bpnq8dezbSZMmKSNHjmzwnP79+ytWq1VJTk5WVq1aFdRttigKc35EREQU2tiHiIiIiEIeAyIiIiIKeQyIiIiIKOQxICIiIqKQx4CIiIiIQh4DIiIiIgp5DIiIiIgo5DEgIiIiopDHgIiIiIhCHgMiIiIiCnkMiIiIiCjk/X+V2ojclaijGAAAAABJRU5ErkJggg==", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "elapsed time: 0.000292105 seconds\n" ] }, { "data": { "text/plain": [ "PyObject Text(0.5,1,u'log |f| vs iteration')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#J2. Apply Broyden's Method on 50 points: Increase the iteration count until it converges\n", "\n", "N_Pts = 50\n", "N_Iter = 2\n", "Plot_Solver(Broydens_Method, N_Pts, N_Iter)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "elapsed time: 0.001559327 seconds\n" ] }, { "data": { "text/plain": [ "PyObject Text(0.5,1,u'log |f| vs iteration')" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#J2. Apply Broyden's Method on 100 points: Increase the iteration count until it converges\n", "\n", "N_Pts = 100\n", "N_Iter = 2\n", "Plot_Solver(Broydens_Method, N_Pts, N_Iter)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "elapsed time: 0.000239704 seconds\n" ] }, { "data": { "text/plain": [ "PyObject Text(0.5,1,u'log |f| vs iteration')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# J2. Apply Broyden's Method with smart Initialization on 10 Points: Increase the iteration count until it converges\n", "N_Pts = 10\n", "N_Iter = 2\n", "Plot_Solver(Broydens_Method_NewInit, N_Pts, N_Iter)\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "elapsed time: 0.000282205 seconds\n" ] }, { "data": { "text/plain": [ "PyObject Text(0.5,1,u'log |f| vs iteration')" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# J2. Apply Broyden's Method with smart Initialization on 50 Points: Increase the iteration count until it converges\n", "N_Pts = 50\n", "N_Iter = 2\n", "Plot_Solver(Broydens_Method_NewInit, N_Pts, N_Iter)\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "elapsed time: 0.000243004 seconds\n" ] }, { "data": { "text/plain": [ "PyObject Text(0.5,1,u'log |f| vs iteration')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# J2. Apply Broyden's Method with smart Initialization on 100 Points: Increase the iteration count until it converges\n", "N_Pts = 100\n", "N_Iter = 2\n", "Plot_Solver(Broydens_Method_NewInit, N_Pts, N_Iter)\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Broyden_Inverted_Method_NewInit (generic function with 2 methods)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# J3. Broyden Inverted Method\n", "# Your results matrix should be of size N_Iter x (x0.length + 1),\n", "# where row i contains the results after the i-th iteration:\n", "# columns 1 through x0.length should store x_k, and\n", "# column x0.length + 1 should store norm(f(x_k))\n", "# First, initialize your J_inv to eye(size(x0)[1]).\n", "# In this implementation you should not call ForwardDiff.jacobian() or inv()\n", "function Broyden_Inverted_Method( f, x0::Vector, N_Iter = 100)\n", " results = zeros(N_Iter,size(x0)[1] + 1)\n", " # These two lines are placeholders to show you the output format\n", " # TODO: delete these two lines and code up Newton's Method\n", " results[:, 1:size(x0)[1]] = repmat(x0', N_Iter, 1)\n", " results[:, size(x0)[1] + 1] = norm(f(x0))\n", " # YOUR CODE GOES HERE\n", " \n", " # YOUR CODE ENDS HERE\n", " return results\n", "end\n", "\n", "# In the next implementation, initialize your initial\n", "# J_inv to inv(ForwardDiff.jacobian(f, x0)).\n", "function Broyden_Inverted_Method_NewInit( f, x0::Vector, N_Iter = 100)\n", " results = zeros(N_Iter,size(x0)[1] + 1)\n", " # These two lines are placeholders to show you the output format\n", " # TODO: delete these two lines and code up Newton's Method\n", " results[:, 1:size(x0)[1]] = repmat(x0', N_Iter, 1)\n", " results[:, size(x0)[1] + 1] = norm(f(x0))\n", " # YOUR CODE GOES HERE\n", " \n", " # YOUR CODE ENDS HERE\n", " return results\n", "end" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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6dCnCw8Ph6uqKjz76CMnJyTUC0SeffILp06dj3rx5uHfvHqZOnVprIALEeYhsbGywZs0azJ49G1ZWVpg+fTo+/PDDBi89Q6ROXMuMiFqE8PBwfPHFFygsLGzRy0ecPXsWffr0wbZt2+o11QAR1Q/HEBGRzrl3757K97dv38bWrVsxcODAFhWG7n+egDg7uFQqxeDBgzVQI6KWi11mRKRz/P39MWTIEHTr1g0ZGRnYsGED8vPzMX/+fE1XrUl9/PHHiIuLw9ChQ2FoaIj9+/dj//79mD59+kOvkCOihmGXGRHpnLlz5+L777/HzZs3IZFI0LdvXyxcuLDFXcZ94MABLF68GBcuXEBhYSE6duyIyZMn4/3334ehIT/PEjUlBiIiIiLSexxDRERERHqPgYiIiIj0Hjuh66BQKHDr1i2YmZk1+9IERERE1DiCIKCgoAAODg6QSuvf7sNAVIdbt27xKg4iIiIddePGDXTo0KHe5RmI6lC5kOONGzdgbm6u4doQERFRfeTn58PJyUllQeb6YCCqQ2U3mbm5OQMRERGRjmnocBcOqiYiIiK9x0BEREREeo+BiIiIiPQeAxERERHpPQYiIiIi0nsMRERERKT3GIiIiIhI7zEQERERkd5jICIiIiK9x0BEREREeo+BiIiIiPQeAxERERHpPQYiIiIi0nsMRERERKT3GIiIiIhI7zEQERERkd5jICIiIiK9x0BEREREeo+BiIiIiPQeAxERERHpPQYiIiIi0nvNEojWrl0LFxcXGBsbw8/PD3/99VedZc+fP48xY8bAxcUFEokEq1atatQxi4uL8cYbb6Bdu3YwNTXFmDFjkJGR0aTPi4iIiFoGtQeiXbt2ISIiAgsXLkR8fDx69+6N4OBgZGZm1lr+7t27cHNzw9KlS2Fvb9/oY86ePRu//vordu/ejSNHjuDWrVt49tln1fIciYiISLdJBEEQ1HkCPz8/+Pr6Ys2aNQAAhUIBJycnhIWF4b333nvgY11cXBAeHo7w8PAGHTMvLw82NjbYsWMHxo4dCwBISEhAt27dEBMTg/79+z+03vn5+bCwsEBeXh7Mzc0b89SJiIiomTX2/VutLUSlpaWIi4tDUFBQ1QmlUgQFBSEmJkZtx4yLi0NZWZlKma5du6Jjx451nrekpAT5+fkqNyIiItIPag1E2dnZkMvlsLOzU9lvZ2eH9PR0tR0zPT0dRkZGsLS0rPd5IyMjYWFhobw5OTk1qn5ERESke3iVWYU5c+YgLy9Pebtx44amq0RERETNxFCdB7e2toaBgUGNq7syMjLqHDDdFMe0t7dHaWkpcnNzVVqJHnRemUwGmUzWqDoRERGRblNrC5GRkRG8vb0RHR2t3KdQKBAdHQ1/f3+1HdPb2xutWrVSKZOYmIjr1683+rxERETUcqm1hQgAIiIiMHXqVPj4+KBfv35YtWoVioqKMG3aNADAlClT4OjoiMjISADioOkLFy4ot1NTU3H27FmYmpqic+fO9TqmhYUFQkNDERERASsrK5ibmyMsLAz+/v71usKMiIiI9IvaA9G4ceOQlZWFBQsWID09HV5eXoiKilIOir5+/Tqk0qqGqlu3bqFPnz7K75cvX47ly5cjMDAQhw8frtcxAWDlypWQSqUYM2YMSkpKEBwcjM8//1zdT5eIiIh0kNrnIdJVnIeIiIhI92jlPEREREREuoCBiIiIiPQeAxERERHpPQYiIiIi0nsMRERERKT3GIiIiIhI7zEQERERkd5jICIiIiK9x0BEREREeo+BiIiIiPQeAxERERHpPQYiIiIi0nsMRERERKT3GIiIiIhI7zEQERERkd5jICIiIiK9x0BEREREeo+BiIiIiPQeAxERERHpPQYiIiIi0nsMRERERKT3GIiIiIhI7zEQERERkd5jICIiIiK9x0BEREREeo+BiIiIiPQeAxERERHpPQYiIiIi0nsMRERERKT3GIiIiIhI7zEQERERkd5jICIiIiK91yyBaO3atXBxcYGxsTH8/Pzw119/PbD87t270bVrVxgbG6Nnz57Yt2+fyv0SiaTW27Jly5RlXFxcaty/dOlStTw/IiIi0m1qD0S7du1CREQEFi5ciPj4ePTu3RvBwcHIzMystfzJkycxYcIEhIaG4syZMxg9ejRGjx6Nc+fOKcukpaWp3L755htIJBKMGTNG5VgffPCBSrmwsDC1PlciIiLSTRJBEAR1nsDPzw++vr5Ys2YNAEChUMDJyQlhYWF47733apQfN24cioqKsHfvXuW+/v37w8vLC+vXr6/1HKNHj0ZBQQGio6OV+1xcXBAeHo7w8PBG1Ts/Px8WFhbIy8uDubl5o45BREREzaux799qbSEqLS1FXFwcgoKCqk4olSIoKAgxMTG1PiYmJkalPAAEBwfXWT4jIwO//fYbQkNDa9y3dOlStGvXDn369MGyZctQXl5eZ11LSkqQn5+vciMiIiL9YKjOg2dnZ0Mul8POzk5lv52dHRISEmp9THp6eq3l09PTay2/efNmmJmZ4dlnn1XZP3PmTPTt2xdWVlY4efIk5syZg7S0NHzyySe1HicyMhKLFy+u71MjIiKiFkStgag5fPPNN5g4cSKMjY1V9kdERCi3e/XqBSMjI7zyyiuIjIyETCarcZw5c+aoPCY/Px9OTk7qqzgRERFpDbUGImtraxgYGCAjI0Nlf0ZGBuzt7Wt9jL29fb3LHzt2DImJidi1a9dD6+Ln54fy8nIkJyfDw8Ojxv0ymazWoEREREQtn1rHEBkZGcHb21tlsLNCoUB0dDT8/f1rfYy/v79KeQA4cOBAreU3bNgAb29v9O7d+6F1OXv2LKRSKWxtbRv4LIiIiKilU3uXWUREBKZOnQofHx/069cPq1atQlFREaZNmwYAmDJlChwdHREZGQkAmDVrFgIDA7FixQqMHDkSO3fuxOnTp/Hll1+qHDc/Px+7d+/GihUrapwzJiYGp06dwtChQ2FmZoaYmBjMnj0bkyZNQtu2bdX9lImIiEjHqD0QjRs3DllZWViwYAHS09Ph5eWFqKgo5cDp69evQyqtaqgKCAjAjh07MG/ePMydOxfu7u7Ys2cPevTooXLcnTt3QhAETJgwocY5ZTIZdu7ciUWLFqGkpASurq6YPXu2yhghIiIiokpqn4dIV3EeIiIiIt2jlfMQEREREekCBiIiIiLSewxEREREpPcYiIiIiEjvMRARERGR3mMgIiIiIr3HQERERER6j4GIiIiI9B4DEREREek9BiIiIiLSewxEREREpPcYiIiIiEjvMRARERGR3mMgIiIiIr3HQERERER6j4GIiIiI9B4DEREREek9BiIiIiLSewxEREREpPcYiIiIiEjvMRARERGR3mMgIiIiIr3HQERERER6j4GIiIiI9B4DEREREek9BiIiIiLSewxEREREpPcYiIiIiEjvMRARERGR3mMgIiIiIr3HQERERER6j4GIiIiI9F6zBKK1a9fCxcUFxsbG8PPzw19//fXA8rt370bXrl1hbGyMnj17Yt++fSr3h4SEQCKRqNyGDx+uUiYnJwcTJ06Eubk5LC0tERoaisLCwiZ/bkRERKT71B6Idu3ahYiICCxcuBDx8fHo3bs3goODkZmZWWv5kydPYsKECQgNDcWZM2cwevRojB49GufOnVMpN3z4cKSlpSlv3377rcr9EydOxPnz53HgwAHs3bsXR48exfTp09X2PImIiEh3SQRBENR5Aj8/P/j6+mLNmjUAAIVCAScnJ4SFheG9996rUX7cuHEoKirC3r17lfv69+8PLy8vrF+/HoDYQpSbm4s9e/bUes6LFy+ie/fuiI2NhY+PDwAgKioKI0aMwM2bN+Hg4FDjMSUlJSgpKVF+n5+fDycnJ+Tl5cHc3LzxLwARERE1m/z8fFhYWDT4/VutLUSlpaWIi4tDUFBQ1QmlUgQFBSEmJqbWx8TExKiUB4Dg4OAa5Q8fPgxbW1t4eHjgtddew+3bt1WOYWlpqQxDABAUFASpVIpTp07Vet7IyEhYWFgob05OTg1+vkRERKSb1BqIsrOzIZfLYWdnp7Lfzs4O6enptT4mPT39oeWHDx+OLVu2IDo6Gh999BGOHDmCJ554AnK5XHkMW1tblWMYGhrCysqqzvPOmTMHeXl5ytuNGzca/HyJiIhINxlqugKNMX78eOV2z5490atXL3Tq1AmHDx/GY4891qhjymQyyGSypqoiERER6RC1thBZW1vDwMAAGRkZKvszMjJgb29f62Ps7e0bVB4A3NzcYG1tjStXriiPcf+g7fLycuTk5DzwOERERKSf1BqIjIyM4O3tjejoaOU+hUKB6Oho+Pv71/oYf39/lfIAcODAgTrLA8DNmzdx+/ZttG/fXnmM3NxcxMXFKcscOnQICoUCfn5+j/KUiIiIqAVS+2X3ERER+Oqrr7B582ZcvHgRr732GoqKijBt2jQAwJQpUzBnzhxl+VmzZiEqKgorVqxAQkICFi1ahNOnT2PGjBkAgMLCQrz99tv4888/kZycjOjoaDz99NPo3LkzgoODAQDdunXD8OHD8fLLL+Ovv/7CiRMnMGPGDIwfP77WK8yIiIhIv6l9DNG4ceOQlZWFBQsWID09HV5eXoiKilIOnL5+/Tqk0qpcFhAQgB07dmDevHmYO3cu3N3dsWfPHvTo0QMAYGBggH/++QebN29Gbm4uHBwc8Pjjj+O///2vyhig7du3Y8aMGXjssccglUoxZswYrF69Wt1Pl4iIiHSQ2uch0lWNnceAiIiINEcr5yEiIiIi0gUMRERERKT3GIiIiIhI7zEQERERkd5jICIiIiK9x0BEREREeo+BiIiIiPQeAxERERHpPQYiIiIi0nsMRERERKT3GIiIiIhI7zEQERERkd5jICIiIiK9x0BEREREeo+BiIiIiPQeAxERERHpPQYiIiIi0nsMRERERKT3GIiIiIhI7zEQERERkd5jICIiIiK9x0BEREREeo+BiIiIiPQeAxERERHpPQYiIiIi0nsMRERERKT3GIiIiIhI7zEQERERkd5jICIiIiK9x0BEREREeo+BiIiIiPReswSitWvXwsXFBcbGxvDz88Nff/31wPK7d+9G165dYWxsjJ49e2Lfvn3K+8rKyvDuu++iZ8+eaNOmDRwcHDBlyhTcunVL5RguLi6QSCQqt6VLl6rl+REREZFuU3sg2rVrFyIiIrBw4ULEx8ejd+/eCA4ORmZmZq3lT548iQkTJiA0NBRnzpzB6NGjMXr0aJw7dw4AcPfuXcTHx2P+/PmIj4/Hjz/+iMTERIwaNarGsT744AOkpaUpb2FhYWp9rkRERKSbJIIgCOo8gZ+fH3x9fbFmzRoAgEKhgJOTE8LCwvDee+/VKD9u3DgUFRVh7969yn39+/eHl5cX1q9fX+s5YmNj0a9fP6SkpKBjx44AxBai8PBwhIeHN6re+fn5sLCwQF5eHszNzRt1DCIiImpejX3/VmsLUWlpKeLi4hAUFFR1QqkUQUFBiImJqfUxMTExKuUBIDg4uM7yAJCXlweJRAJLS0uV/UuXLkW7du3Qp08fLFu2DOXl5XUeo6SkBPn5+So3IiIi0g+G6jx4dnY25HI57OzsVPbb2dkhISGh1sekp6fXWj49Pb3W8sXFxXj33XcxYcIElSQ4c+ZM9O3bF1ZWVjh58iTmzJmDtLQ0fPLJJ7UeJzIyEosXL27I0yMiIqIWQq2BSN3Kysrw/PPPQxAErFu3TuW+iIgI5XavXr1gZGSEV155BZGRkZDJZDWONWfOHJXH5Ofnw8nJSX2VJyIiIq2h1kBkbW0NAwMDZGRkqOzPyMiAvb19rY+xt7evV/nKMJSSkoJDhw49tJ/Qz88P5eXlSE5OhoeHR437ZTJZrUGJiIiIWj61jiEyMjKCt7c3oqOjlfsUCgWio6Ph7+9f62P8/f1VygPAgQMHVMpXhqHLly/j4MGDaNeu3UPrcvbsWUilUtja2jby2RAREVFLpfYus4iICEydOhU+Pj7o168fVq1ahaKiIkybNg0AMGXKFDg6OiIyMhIAMGvWLAQGBmLFihUYOXIkdu7cidOnT+PLL78EIIahsWPHIj4+Hnv37oVcLleOL7KlKbh5AAAgAElEQVSysoKRkRFiYmJw6tQpDB06FGZmZoiJicHs2bMxadIktG3bVt1PmYiIiHSM2gPRuHHjkJWVhQULFiA9PR1eXl6IiopSDpy+fv06pNKqhqqAgADs2LED8+bNw9y5c+Hu7o49e/agR48eAIDU1FT88ssvAAAvLy+Vc/3xxx8YMmQIZDIZdu7ciUWLFqGkpASurq6YPXu2yhghIiIiokpqn4dIV3EeIiIiIt2jlfMQEREREekCBiIiIiLSewxEREREpPcYiIiIiEjvMRARERGR3mMgIiIiIr3HQETNJu9eGb48ehUhG//C/n/TwBkfiIhIW+j04q6kG1JuF2HjiWTsjk3BT+teQ1ezdvjLyRNbJ7+BhU95wsPeTNNVJCIiPcdARGohCAJik+9gw/Fr+L8LGRAEwK4gG11uX0eX29dR2kqGNVdvY8TqY5jc3xmzg7rAonUrTVebiIj0FAMRNakyuQL7/k3DhuNJ+OdmnnJ/YBcbRLQWgM/F7/2G9sFwT3tEnU/HppPJ+PlsKt4O7opxvk4wkEo0VHsiItJXDETUJPLuluHb2OvYfDIZaXnFAAAjQynG9HXEiwNc4W5nBmzfrixv1tUd6yd748SVbCz+9TwuZRRi7k//YvupFCwa5QlfFytNPRUiIrqPIAjIu1eGolI5HC1NNF0dtWAgokeSnF2EjSeSsDvuJu6WygEA1qZGmOLvgol+HdHOVFatcHLVtosLAGBAZ2v8NnMQtv2ZgpUHLuH8rXw8tz4Go3o7YM6Irmhv0TL/8IiItIkgCMi9W4abd+7h5p27uHnnHlJzq7Zv5txFr0txSLZyQOj4wQgd3EnTVW5yDETUYIIg4K+kHHx9PAkHL4rjgwCgq70ZQge6YpSXA2SGBjUfWEsgAoBWBlJMG+CKUb0dsPz/LmFn7HX88vctHLiQgRnDOiN0oCuMW9VyPCIiqhdBEHDnbllVwKkMPXfuKb8vqvhQW5t2RbnYsWseAODQ//ni5O/7ENDJurmq3ywYiKjeSsvF8UFfH7+Gc6n5yv1DPWwQOtANAzq3g0TygPE/dQSiSu1MZYh8ticm+nXEol/O43TKHSz7PRG7Ym/g/ZHd8Hh3uwcfn4jUJi3vHvacuQVzE0MEdrFBh7atNV0lqkYQBOQUlVaEm3s1g0/uPWUr/oPYmMnQoa0JOrRtDUdLk4ptE3ROPAOsEcukWNrjsx1n8GvYwBbVfcZARA+Ve7cUO/4Sxwdl5JcAAGSGUozx7oAXB7igs209L5uvDETm5oClZZ3FejhaYPer/vjl71uI3JeA6zl38crWOAxyt8bCp7rX/3ykt1Jz72FZVAIuZxZiRM/2GO/rpNp9S/V2OaMAXxy9hpJvd6Fb2mXkQoKnfZ6GpYsjhnjYIrCLDfq5WrEVV80EQUB2YalqN5byq9jSc6/s4YHHtlrgUQafitDjaGlS98/x+E3lZomrG3KKSvHq1jjsftW/xfzsJQJnx6tVfn4+LCwskJeXB3Nzc01XRyOuZRVi44lkfB93U/mHZmMmw1R/Z7zg5wyrNkb1P5hCARgbA2VlQK9ewN9/1+thRSXl+PzwFXx1NAmlcgUMpRJM8XfBrCB3WJjwMn1SVVwmxxdHruGHX//Exm1zYVZShCOu3nj/6Qg81csBIQEu6NnBQtPV1AmxyTn44shVHLyYCQBY9tsqPHfuIADg8ZfX4ZKVk7KscSsp/N3aIbCLDYZ42MLFuo1G6qzLBEFAVmGJSsCpHnxSc++huEzxwGNIJICdmbEy4FQPPo6WJnB4UOB5mHffBT7+GACQ9f3PePy8Me7cLcNY7w5YNraXVrXeN/b9my1EpEIQBPx5LQcbjl9DdEKmcnxQt/bmCB3oiqd6t699fNDDpKWJYQiotbusLm1khng7uCue93HCkt8u4sCFDHxzIgk/n03FO8M98Jy3E6S8TF/vCYKA38+n4797LyI19x7aCgbolCN+onVVFKK0XIEf4m/ih/ib6NvREiEDXPFED3u0MuBk/dUpFAIOXszAF0evIS7lDgDxTTa4uz2GXbMBzonlfnh9AI4ZWONIYhaOXMpCen4x/kjMwh+JWcCvF+DcrnVFOLJBf7d2aG3Et5rqisvkSEwvwL+peTh/Kw//pubhckYhSsofHnjszY2VAad6K0+HtiZob2ncuP/P9XHpknLTxrsXPutliinfnML3cTfRu4MFJvu7qOe8zYgtRHXQtxai0nIF9v5zC18fS8KFtKrxQY91tUXoQFf4d3rI+KCHycsDfvhB7Dbr0gWYNKlRhzl6KQuLfz2Pq1lFAICejhZYNKo7vJ15mb6+upRRgMW/nseJK7cBAO0tjDHv8c4Y6eMiFggIwJlv92LTyWTs+zcNZXLxX56tmQwT/Zzxgl9H2Jjpd3daSbkcP5+5hS+OXlX+bRkZSDHG2xEvD3KDm40pEBICbN4sPuDiRaBrVwBiGE3MKMCRxCwcTszC6ZQc5WsMiNNv+LlaKQNSJxtTrWpNULd7pXJcSMvHudQ88XYrH5czClCuEF8j+/xs/Lo5HOVSA/xfF398MTa8WtAxqWjtqQg8FiYwMtRQiPf0BC5cAGQyoKgIMDDAF0euInJ/AgylEuyc3h8+WjJdSmPfvxmI6qAvgehOUdX4oMwCcXyQcSspxvTtgBcHuqKTjamGa1hTmVyBzSeT8enByygoKQcAPNPHEe890RV25sYarh01l7x7ZVh18BK2xKRArhBgZCjFq4Pd8OqQTmKLRJs2wN274j/yc2LTRmZBMXacuo7tp64jq+L3vZWBBE/2csDUABd4OdU9tq0lKiguw7d/XceG40nK8YFmxoaY1N8Z0wJcYFv972nqVGDLFnE7IQHw8Kj1mIUl5Th5JRtHLokBKTX3nsr9jpYmGFwRjgI6tYOZccvp+i4sKceFW9XDTx6uZBZCUcu7rFUbI/RwtMBA3MH00OEAAPmEF2CwY3vNwpomlwOtWwOlpSp/T4IgYMa3Z/DbP2mwMZNhb9hArfgfzEDUxFp6ILqaVYhvjifhh/ibyn5pWzMZpga44IV+HdG2IeODNCSroATLf0/Ed3E3IAhAayMDhA1zx4sDXdTXbEwaJ1cI2H36Bj7+PRE5RaUAgGBPO8wb2R1OVtWufHJwELtqHR2BmzdVjlFarsD+c2nYdDIZZ67nKvf3drJESIAzRvRsZNewjsjML8bGk8nY9mcKCorFDxV25jKEDnTFhH4daw8p1QNRYqLY0vsQgiDgalYRjlwSu9b+vHYbpdW6hQylEng7t1UOzu7W3kxnWo/yi8twPjVfGXz+Tc1DUnYRantHtTGToaejBXo4mKOHowV6OFqgvYWx+FwvXgS6dxcLhoQAGzc26/Ool2vXgE4V8w498wzw44/Ku+6WluOZtSeRmFEAb+e2+Pbl/pprxarAQNTEWmIgEgQBMVdv4+vjSTiUkKnc3729OV4a5Ionezlo/Be5Mf6+kYtFv55XvrG5tGuN+U92x7Cutjrzz5XqJy4lB4t+uYB/U8VlYTrbmmLhU90xyN2mZuHu3cU3G1NToKCgzmP+czMXm04mY+/faSiVi2/W1qYyvODXERP9OmrFJ96mci2rEF8du4Yf4lKVz7WTTRu8EtgJo70cH/z3P2UKsHWruF3PQHS/e6Vy/Jl0Wzn2KCm7SOV+WzMZArvYINDDBoM622jN+oa5d0txLjVfGXzOp+Yh+fbdWsu2tzCGp4OFGIAczdHT0UK1pe1+f/8NeHmJ2y+/DHz5pRqewSOKigKeeELcfvddYOlSlbuTs4swas1x5BeXY1L/jlgyuqcGKlmFgaiJtaRAVFIux69/i+uLXawYHySRVI4PckN/Nyv1B4czZ8TL7Z2cAKOmb31SKATsOZuKyP0Jyq6QIR42mP9kd63s9qOGycgvxkf7E/DjmVQAgJnMEOH/6YIp/s51D4z29wf+/FPcLisDDB88sDe7sATfnrqObadSlN1HhlIJnujZHiEBzujbsa3OBuyzN3Kx/vBV/H4hXdmC4e3cFq8GdsJjXW3rd2HC5MnAtm3i9qVLgLv7I9cr5XZF61FiFk5eva1y2bhUAvTp2BZDKgJSDweLZrmA4nZhScVg53z8e1Ns/bl5516tZTu0NUEPBzH4VLb8WDd0eofTpwFfX3H7jTeANWse8RmowdatYlgrKQE2bABefLFGkT8SMvHi5lgIAvDx2F543seplgM1DwaiJtYSAlFOUSm2/5mCLX+mKEOCSSsDjPXugGkDXMSBks3F3R24ckWcf+jOHbWdprCkHGsOXcGG49dQJhdgKJXgxYGuCBvWuUWNVdAXJeVybDyRjM+iL6OoVA6JBHje2wlvD/d4+BvPE0+In2wB4PZtwKp+Az7L5Ar8fj4dm08mIza56ne1p6MFpga44Mle7XVi3hVBEHD4UhbWH76KU0k5yv1B3WzxamCnhg+ArR6ILl8GOnduwtqKV16dTr6DI5cycTgxC5czC1Xub9fGCIO72CCwiw0GuVs3ybxSmfnFYqvPTbH151xqnnItxvs5t2sthp6K1h9PB/OmGVoQEwMEBIjb4eHAypWPfkx1kMuBGzcACwugbdtai6yOvoxPDlyCkaEU37/qj14dNDMmj4GoielyILqSWYhvTiThh7ibyss47cyrxgdZtm7m8UGNnIPoUSRlF+G/ey8ouwatTWV4d7gHxvTtwMv0dcQfCZn4YO8FZbdKn46WWDzKs/7/ZMePB3btErevXQNcXRtch3OpedgSk4w9Z28px75YtTHChH5OmNTfWSvX2iuTi1eMfnHkGhLSxa7CVgYSPO3liFcGu4kLLTfGpElVCzSrIRDdLzX3XkXXWiZOXLmNwooLKACxhbuXowUCK8YeeTlZwuABf9eCICA9v7iixadq0HPlhSTVSSSAq3WbquDjaA5PBwv1zXt29CgQGChuv/22cq4fXaRQCJi+NQ4HL2bAwcIYv4QNbHiLWRNgIGpiuhaIBEHAiSu3seH4NXEukAo9HM3x0kA3jOjZXnPjg1JTgQ4dxO1Ro4Cff262U9//ptrbSXxT1beriXTJ/WHWxkyGOU90xWgvx4aF2VdeqRqPER8P9OnT6DrlFJViZ+x1bItJwa2KFgQDqQTBnnYICXCFr4vmu9OKSsqxK/YGNhxPUl7Z1cbIAC/4dcSLA10fPbz973/A//2fuL1jhzhYvZmUyRWIS7mjvHLtYrWpQQDAwqQVBrlbi+OPutigpFyhnN/nXMXA59sVA/Crk0rEcWhit5d46+5gDlNZM86bFB0NBAWJ23Pniq+zDssvLsPoNSdwLbsI/d2ssC3UD4bNPN8XA1ET05VAVFIux89nb+Gb40nKT4MSCRDUzQ4vDXRFP9dmGB/0MCdOAAMHitszZwKfftqspy8tV2DTySSsjr6i/JQ51rsD3hnuAVuzljNgVtfd393ZyqCyu9O9cW9QR46Ig38tLcU3nHp2mT1IuVyBgxczsOlkMv68VtUN1a29OUICnPG0l2Ozd6dlF5Zgy8lkbI5JQd49cfJTa1MZpg1wwSQ/Z60ZmNyUMvKLcfRSFg5fysKxS1nILy5/6GMMpBK425pWDHYWb93am2l+0sjqA5YXLgQWLdJodZrClcwCPL3mBIpK5XhpoCvmPdm9Wc/PQNTEtD0Q3S4swfZT17ElJgXZhVXjg5736YBpA1y1a+r87durJmL85BNg9myNVCOzoBgfRyXi+zjxEmxTmSFmPtYZIQGuOnl1XUtROSB+6f4EZRfGEA8bLHiye/OOc2ugi2n52BKTjJ/OpCqnrrBs3QrjfJ0wub+z2hc/vX77Lr46dg3fnb6h7Bp3adca0wd3wrN9mz+YaUq5XIG/b+bhSGImnFb8D8OO/QyZvAxzZ32GNv194VnR+tPV3kw7X5NffxVbzgFgyRLg/fc1W5/7Xb4MvPOOOO/UE09Ude89RNS5NLy6LR4A8Ol4Lzzt1XwtigxETUxbA9HljAJ8cyIJP8anKv8J2psbI2SACyb4dtTOT4P/+x8wb564/eOP4jwWGnTm+h0s+uU8/r4pXrrtZt0G85/qjqEethqtlz7652YuFv1yHvHVpkxY8FR3DOtqp+Ga1V/u3VJ8d/oGtsSkKK9GkkqA/3S3w9QAF/i7PeIs7/c5l5qH9UeuYt+/acoJ/3p1sMCrgZ0Q7Gn/wLE0LV5ERNWg5BMnqgYra7Pr14FDh8Qxlj4+j9S1qxY//giMGSNuf/ABMH9+vR/6cVQCPj98FcatpPjp9QHo1r553ku5llkLJggCjl/JxtfHknDkUtX4oF4dLBA60BUjerbX7jWZKle5Bxq0jpm69OnYFj+9PgA/xN/ER1GJuJZdhGkbYzGsqy3mP9kdrtrUutZCZReKk2ruOq37k2patjbC9MGdEDrQDdEXM7A5JhknrtzG7+cz8Pv5DHjYmWFqgAtG93FodPdM5RjB9Ueu4viVbOX+wC42eCXQrclDl86qPqVHSc0B01qpY0dxQkZtVW0Ns4bOPfXm4x44dysfRy9l4ZWtcfhlxoDmv6inARiItFhxmRy/nL2FDceTkJhRNT7o8e52eGmQG3ycNT+Qs160LBABgFQqwXM+Thjewx6fHbqCbyomqzx2OQuhA90wY1jn5h1YqSfK5ApsjUnByoOXlDMkq23ZleJi8XcvLw+wtq6aaVdNDKQSPO5pj8c97XEpowCbTybjx/hUJGYUYO5P/2Lp/osY5+uEKf4uqjNqP0C5XIH959LxxdGrOJearzzPU73aY/rgTuju0Iyt13PmAL//Lv4T+vVXcSZwbSOrdkVTac1B1NQIjxCIDKQSrB7vhafWHMf1nLuYtfMsvgnx1dpWTHaZ1UGTXWbZhSXY9mcKtv2ZguxC8Y+6tZEBnvdxwrQBLnBup2MtGJVzEJmbA7m54j9ULXMlsxD/3XtB2QJnaybD+H4dIZWIS0WUyQWUyxUoVwgoVyhQLq/Yp6jYJ6/Yp6hWruJrmVyAXKGAiUSAmcwQJm2MYWZsCDOZIUyNDWEqawXTiu/NjA1hWrHfrGK/qcywRYxxOn45G4t/Pa+cX6aHozkWj/JU38K81Qfzz54tjl9rZnn3yrD79A1s/TMFKRUzG1dOihoS4IoBnWtv2blXKsf3cTfw1bEkXM8RH2fSygDjfJ0QOtC13oGqSY0bB3z3nbidlKQ1H25UfPhh1Ricn3+uGptDjTdwoPi3BIgzvps2fFzfhVv5eHbdCRSXKTBjaGe8FVz7OnhNhV1mLcCljAJsOJaEn86mKuc8cbAQxweN8+2ovnkw1EkQgMyKZUJcXLQyDAHipbebpvniUEImfli7G12On0RKTHvEdOyFdHPrRzr2oKR4vPzXT+h7KwEzRr2DA518G3wMI0MpzKuFJVOZGKQqA5SZsaEyVClDVsX+6iFLE91RN3Lu4n+/XUTU+XQA4jw+7wR74DkfJ/V+UrSwqNrOy1PfeR5UBZNWeGmQG14c4IrDlzKx6WQKjl7KwsGLmTh4MROdbU0x1d8Zz/btgDYyQ+TeLcWWmBRsOpmsXKetbetWCAlwxRR/Z+1ZY1BL/45VWoh0pcssKwu4dQto1UqcnkSLxqwCqGohcnRsVBgCgO4O5vhoTC/M2nkWa/64gh6OFhjew74JK9k0miUQrV27FsuWLUN6ejp69+6Nzz77DP369auz/O7duzF//nwkJyfD3d0dH330EUaMGKG8XxAELFy4EF999RVyc3MxYMAArFu3Du7VppLPyclBWFgYfv31V0ilUowZMwaffvopTBv5A1UXQRBw9HI2vj52DccuV40N6N3BAqGD3PBED3vtHh/0MBKJODN1ZqbG3pTqSyKR4LFudgi0zYHhiW8BANvfWYnLAT4wkEpgaCBBK6kUhgYSGEolMDSQil8rtlsZSGCovL+qnP2BDHh+dwYA8L5pFv7zTA8UFpejsKQcBcXirbCkDIUl5SgsLkdBxdfCknLcLRWXMigtVyC7sFTZYthYRgZSZaAyu+9rZZBSCVG1tFaZGRtCZih9aHftvVI51h25ii+OXEVJuQIGUgmm+Dsj/LEuzTP4v3ogys2tu1wzkEolGNbVDsO62uFqViG2nEzG93E3cSWzEPN/Po+PoxIx0N0aRy5lKX/mHdqa4OVBbnjexwkmRlowrkoXOhN0MRDt3ClORwKIS2RUXpGrDe7cEQMb0Ki166p72ssRf9/IwzcnkvDmd2fR2XYAOts2cpJQNVF7INq1axciIiKwfv16+Pn5YdWqVQgODkZiYiJsbWte1XPy5ElMmDABkZGRePLJJ7Fjxw6MHj0a8fHx6NGjBwDg448/xurVq7F582a4urpi/vz5CA4OxoULF2BsLI5DmDhxItLS0nDgwAGUlZVh2rRpmD59Onbs2KHup1wvxWVy7DmTig3Hk5RdCFIJEOxpj9CBrvDWlfFB9SGVAvb24k0HGFYb8zTxhaFAb89HO6DVSGCWuOl+6Szc/Zzr/dByuQJFJXIU1BGYCorLauyrDFrV7y+qDFZyBXKKSpWtD43VykCiGqKqtVKZygzR2sgAv/2TppzEMKBTOywa5YkujZ0luTEsq02+qUVhvJONKRY/3QNvBXvgh7ib2BKTAu9DP8HkZAmeMGqNi48/g1cC3TCyZ/tmn9Cu3rT1f5MuDqouK6vaVsM6j4/k8uWq7UcMRAAwZ0RXnL+Vh1NJOZi+NQ4/vzFAq5ZUUvsYIj8/P/j6+mJNxYJ1CoUCTk5OCAsLw3vvvVej/Lhx41BUVIS9e/cq9/Xv3x9eXl5Yv349BEGAg4MD3nzzTbz11lsAgLy8PNjZ2WHTpk0YP348Ll68iO7duyM2NhY+Pj4AgKioKIwYMQI3b96EQz0GA6prDFFWQQm2VowPqnxTamNkgHG+HTFtQP0HW5IaDRkiTuoHiG+kTfHz9/AQm55btRJbK1o3789ZrhBQVFqu0jJVPTBV36f8/r77C4vLUVha/tCGAp+b5xF8KQZXrTrgUu8ATJ88BMGe9s0f8AVBXNBVoRAvZ46Nbd7z15NCIaDUsQOM02+hxNYeRum3tPPD0HPPAd9/L25fvy4u1KxtNm+uumJr7Vrg9dc1Wp16+egjoPK9UAumJVGxbZu4hh0ArFghTmvwiLILS/DUZ8eRlleM/3S3wxeTvJt8OSWtHENUWlqKuLg4zJkzR7lPKpUiKCgIMTExtT4mJiYGEfe96MHBwdizZw8AICkpCenp6QiqnOocgIWFBfz8/BATE4Px48cjJiYGlpaWyjAEAEFBQZBKpTh16hSeqeUXrqSkBCXVPlHk5+fXKNMUXtwUi39TxU+rjpYmCAlwwbh+TjDXopSs965dE79aWzddf/7gwWIgKisDTp0Chg5tmuPWk4FUAnPjVo/8e6ZQCLhbJq8ISWXILy5XCUwFJeXo/vUB+MeKf6+lIYNg1KN9UzyFhpNIxG6zO3c03mX2IFKpBMYSMWXKZK20t/VFF+jiVWbVW4haadn7wCNcYVYXa1MZ1k3yxvPrY3DgQga+OHoNrw1R7xWg9aXWQJSdnQ25XA47O9VJ1uzs7JCQkFDrY9LT02stn56erry/ct+DytzfHWdoaAgrKytlmftFRkZi8eLF9XxmjTfRryN2xt7AS4NcMdzTXnubxJvK+vVis6uLCzBliuq4Dm1UUgLcFGeyhptb0x138GDg66/F7aNHmz0QNRWpVKIcWwTUcZn8+qqxcEY9mnfK/hoqA5EWdZnVSi52acJAC8YK1aV606C2hrb+/YEtW8Rg5OWl6drUjzYHooEDgVmzxGDUven+lr2cLPHf0Z7YeCIZI3pqz1AKXmVWYc6cOSotU/n5+XBSQ5Pw8z5OGN+vY5MfV2v9+CNw4IC4/cILmq1LfSQnV/3jb+pAVOno0aY7rjaq/LAjlap9RfSHqgzgeXniz1Vb38gZiJqGi4t2TgfwINociB5/XLypwTjfjnimTwetmlJErTWxtraGgYEBMjIyVPZnZGTAvo4Btvb29g8sX/n1YWUyKy/1rlBeXo6cnJw6zyuTyWBubq5yU4em7ivVepUDlE1Nm2RxTbWr7C4DmnYiP2fnqjEXMTG605zfUIJQFYhcXQFjDS+eWzmwurRUnKhRW+lCICL10OZApGbaFIYANQciIyMjeHt7Izo6WrlPoVAgOjoa/v7+tT7G399fpTwAHDhwQFne1dUV9vb2KmXy8/Nx6tQpZRl/f3/k5uYiLi5OWebQoUNQKBTw8/NrsudHD6FQACkp4rYWz0GkonogasoWIqCqlejePaDa72aLkpoKFBWJ2127arYugFbMRVQvuhCIJk4U1yX83/+0b64cXVb9w5GeBSJto/Yus4iICEydOhU+Pj7o168fVq1ahaKiIkybNg0AMGXKFDg6OiIyMhIAMGvWLAQGBmLFihUYOXIkdu7cidOnT+PLL78EIM4VEx4ejiVLlsDd3V152b2DgwNGjx4NAOjWrRuGDx+Ol19+GevXr0dZWRlmzJiB8ePH1+sKM2oi6elVf+y60ox99WrVtjoC0fbt4nZsLFDHhwKdVn1soDYEoi+/BL76SgxG1QfcaptycRkTGGrxKIZnn9V0DR7u3j3xd7CkRLwoQtNdtvWhrZfd5+aKrap2drrxYbYJqP2vb9y4ccjKysKCBQuQnp4OLy8vREVFKQdFX79+HVJpVUNVQEAAduzYgXnz5mHu3Llwd3fHnj17lHMQAcA777yDoqIiTJ8+Hbm5uRg4cCCioqKUcxABwPbt2zFjxgw89thjyokZV69ere6nS9Vp4RpmD9W5MzBsmNhS1NSBaMQI8bLgQYN05/VoKG0LRPddfKG1dKGFSBdcugT07StuT58OfPGFZutTH9raZbZzJ/Daa4CZGbBhgzjtQgvHtczqoMm1zFqMHTvEZnYAWL4cePNNzdaH1G/GDHH+FwA4dqxqLTF6MENDMRR5ewOnT2u6Nrrr4iN0nTkAAB8SSURBVMWqq6GmTgU2bdJodeolPx8oLBSDUfv22tNK9OabVev/RUeLHxR1hFbOQ0R6ThdbiOjRaFsLka5wdxffELVxssNKeXlVXeDt2olXEWobXZyHyNxcO8dkqWEOIm3HQETqw0Ckfx57TJyFOz1dHMOhaQkJ4qrneXlil6W2tlhdvKjpGjzclCnAL7+I2xkZQC1LL2mcLq5lpq08PcV1zFJTxYVd9QADEamPrgWi5pinprwc2L9fnIvIyEi8YqclqTYrvVY4d65qWYS2bbU3EOkCXRhdoYtrmWmrpUs1XYNmx0BE6vPYY+L8Q+npujEH0Y4dwOzZ4mDq+fOBkSOb/hwSibiadX6++Al7yRK9uYJDI6ov8KrFy3foHG39ndXFLrNdu8S14Vq1Al59VfNzd+kxBiJSn3ff1XQNGubaNbGJOCtL9cqPpmRgILZS7NsHZGaK/fQeHuo5F+nOPES6QBdaiHSxy2zDhqrZ/F98kYFIg7RwVByRhqhzDqLqBg2q2m5Jy3gUFIiTcWqT6oFIW1uI7t4Vxzc99RSwaJGma1M3XVi6Qxe7zLT1sns9xEBEVKn6LNWuruo7T/V1zY4dU995mltIiDhnSd++YuuXNqjeZaatLUQlJeK4sr17gVOnNF2b+tHWQCSRVIUKBiJqIAYiokqVgcjGRnxjVxcfn6pm8ZbUQpSQILZ2nD+vPWPGdKHLrHJSRkC7J2bUhS4zoKrbTFfGEFUPRNr889cDDEREgDhFfWqquK3O7jJAbNavXLYjJaVqvTddVl4OXL4sbru7a88SFDJZ1RuktnaZ6WIg0tYWIkDs+s7J0Z0JLisDkZGRdr+ueoCBiAhQnSJA3YEIaHndZklJVf/YtW1CxspuM7YQNR1tfuO2tRWnWDAx0XRN6qfy74bdZRrHQEQEqI4f6tRJ/edraYFIm2eojokRp35ITNR0TWqnK4EoMhI4eFC8mZpqujYtBwOR1tCSdm0iDaseiJqjhah/f7Fbqby8ZYwj0uZApM4B8k1BVwJR796arkHLxECkNRiIiIDmu+S+UuvW4uKTFhZia1FzzJKtTtociLSdrgQiXbFxI3Djhvi6Ll6s6do8XOXYLAYijWMgIgKAN94QJ0y8dk1cw6c5fP1185ynOVTvjuJEkw1TXl61rS2D0XXZunVAbKz4AWPRIu3/oHHtmhiKqgdj0gj+9REBQOfO4o0ap7KFyNFRvVMWtERsIWpalZMzCoIYNnWh5UUiYRjWAvwJENGjyc4Gbt8Wt9ld1nBt2wJhYWIwqpyOgRrv/uU7dCEQkVZgICLStJQUcWD1008D5uaark3DWVmJzf4JCapvRlQ/7dsDq1druhYthy4u8EpagYGI6OZNcckENzdxUsHmvKR43jzgf/8Tt3/7TVzTStdIpeKVXNp+NRfpB11c4JW0AuchIjp8GBg7VlyD68svm/fcXl5V2y3h8nsiTWMgokZiICJq7kkZq6u+8n1LmKCRSNMYiKiRGIiImntSxurs7KouU4+NFRdH1TUffQRs2qQ7a0dpmxMnxKvLjIyA997TdG10X+VVZgADETUIxxARVZ+UURPjYAYNEufxKSsTxzINHdr8dWis4mJg7lxAoQB8fMRQRw1TXi6+fpU3ejRDh4pXlslk4oB/onpiCxFRZQuRra1m1miqvq6Zro0junKl6k2cl9w3DuchalovvAB8/jmwciXQoYOma0M6hIGI9Nu9e8CtW+J2c3eXVdLlQMQlOx4dAxGRVmAgIv2WnFy13dwDqis5OwMdO4rbMTG6NXcKA9GjYyAi0goMRKTfNDmgurrKVqJ794D4eM3Vo6EYiB4dAxGRVmAgIv3W3Kvc12XQIKBNG+A//9GtgbWVgUgq5VpwjcVARKQVeJUZ6bcXXxRbZ65dE6+S0pTJk4Fp03Rr3SVBqApEbm5ctqOxGIiItAIDEek3U1NxtujqM0ZrgomJZs/fGKmpQFGRuM3uskfTqpUYjBiIiDSGgYiIGofjh5rGM8/o1kB6ohaKY4iIqHFkMmD4cMDFBejWTdO1ISJ6JGoNRDk5OZg4cSLMzc1haWmJ0NBQFBYWPvAxxcXFeOONN9CuXTuYmppizJgxyMjIUN7/999/Y8KECXBycoKJiQm6deuGTz/9VOUYhw8fhkQiqXFLT09Xy/Mk0kuDBgH79wNJSeJYLCIiHfb/7d1/UNVV/sfxFwhcdfJypYALLbZSk5Jb44YDXqsthcKxaWvFKVfW0ZakJmhnwd3ErKEfW5o12Y/VnPLXOumaZjWbOiRJ5mg3c0h2S4GdVlt/5MVaBHQNuMT5/tHX+/XGD7l8vVcvn+dj5vMH53POue9zIu9rPvfzuQT1I7O8vDwdO3ZMFRUV8nq9uvfee1VQUKC1a9d2O6a4uFibN2/Whg0bFBsbq6KiIk2ePFm7du2SJFVVVSkhIUFvvPGGUlJS9PHHH6ugoEADBgxQUVGR31x1dXWy2+2+nxMSEoKzUAAAENYijDEmGBPX1NTommuu0Z49ezTmf5/eKS8v16RJk3TkyBElJyd3GtPU1KT4+HitXbtWU6ZMkSTV1tYqLS1NbrdbY8eO7fK1CgsLVVNTo8rKSkk/XCEaP368Tpw4IYfD0af6m5ubFRsbq6amJr9QBQAALl59ff8O2kdmbrdbDofDF4YkKTs7W5GRkdq9e3eXY6qqquT1epWdne1rGzlypIYNGya3293tazU1NSmuiz/iN3r0aCUlJenWW2/1XWHqTmtrq5qbm/0OAABgDUELRB6Pp9NHVFFRUYqLi+v2Xh6Px6OYmJhOV3USExO7HfPxxx/rzTffVEFBga8tKSlJS5cu1caNG7Vx40alpKTolltu0Wc9fAPw/PnzFRsb6ztSUlJ6u1QAABDmAg5EpaWlXd6wfPZRe/bjuEH0xRdf6M4771RZWZluu+02X/uIESN0//33Kz09XePGjdOKFSs0btw4LVq0qNu55s6dq6amJt9x+PDhUCwBAABcBAK+qXr27NmaOXNmj31SU1PldDp1/Phxv/b29nY1NDTI6XR2Oc7pdKqtrU2NjY1+V4nq6+s7jdm/f7+ysrJUUFCgRx999Jx1Z2RkaOfOnd2et9lssvFNuwAAWFLAgSg+Pl7x8fHn7OdyudTY2Kiqqiqlp6dLkiorK9XR0aHMzMwux6Snpys6Olrbtm1Tbm6upB+eFDt06JBcLpev3759+zRhwgTNmDFDTz/9dK/qrq6uVlJSUq/6AgAAawnaY/dpaWmaOHGiZs2apaVLl8rr9aqoqEhTp071PWF29OhRZWVlafXq1crIyFBsbKzy8/NVUlKiuLg42e12PfTQQ3K5XL4nzL744gtNmDBBOTk5Kikp8d1bNGDAAF9Qe/HFFzV8+HCNGjVKLS0tWrZsmSorK7V169ZgLRcAAISxoH4P0Zo1a1RUVKSsrCxFRkYqNzdXL7/8su+81+tVXV2dTp8+7WtbtGiRr29ra6tycnK0ZMkS3/m33npL33zzjd544w298cYbvvYrrrhCX331lSSpra1Ns2fP1tGjRzV48GBdd911+uCDDzR+/PhgLhcAAISpoH0PUbjje4gAAAg/F933EAEAAIQLAhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALA8AhEAALC8oAaihoYG5eXlyW63y+FwKD8/X6dOnepxTEtLiwoLC3XppZfqkksuUW5ururr6/36REREdDrWrVvn12f79u26/vrrZbPZdNVVV2nVqlXne3kAAKCfCGogysvL0759+1RRUaFNmzZpx44dKigo6HFMcXGx3nvvPW3YsEEfffSRvv76a02ePLlTv5UrV+rYsWO+46677vKdO3jwoG6//XaNHz9e1dXV+v3vf6/77rtP77///nlfIwAACH8RxhgTjIlramp0zTXXaM+ePRozZowkqby8XJMmTdKRI0eUnJzcaUxTU5Pi4+O1du1aTZkyRZJUW1urtLQ0ud1ujR079oeiIyL0zjvv+IWgs82ZM0ebN2/WF1984WubOnWqGhsbVV5e3qv6m5ubFRsbq6amJtnt9oDWDgAALoy+vn8H7QqR2+2Ww+HwhSFJys7OVmRkpHbv3t3lmKqqKnm9XmVnZ/vaRo4cqWHDhsntdvv1LSws1GWXXaaMjAytWLFCZ+c6t9vtN4ck5eTkdJrjbK2trWpubvY7AACANUQFa2KPx6OEhAT/F4uKUlxcnDweT7djYmJi5HA4/NoTExP9xjz55JOaMGGCBg8erK1bt+rBBx/UqVOn9Lvf/c43T2JiYqc5mpub9d1332nQoEGdXnv+/Pl64okn+rRWAAAQ3gK+QlRaWtrlTc1nH7W1tcGo1eexxx7TDTfcoJ///OeaM2eOHn74YT333HP/rznnzp2rpqYm33H48OHzVC0AALjYBXyFaPbs2Zo5c2aPfVJTU+V0OnX8+HG/9vb2djU0NMjpdHY5zul0qq2tTY2NjX5Xierr67sdI0mZmZl66qmn1NraKpvNJqfT2enJtPr6etnt9i6vDkmSzWaTzWbrcV0AAKB/CjgQxcfHKz4+/pz9XC6XGhsbVVVVpfT0dElSZWWlOjo6lJmZ2eWY9PR0RUdHa9u2bcrNzZUk1dXV6dChQ3K5XN2+VnV1tYYOHeoLNC6XS1u2bPHrU1FR0eMcAADAuoJ2D1FaWpomTpyoWbNmaenSpfJ6vSoqKtLUqVN9T5gdPXpUWVlZWr16tTIyMhQbG6v8/HyVlJQoLi5OdrtdDz30kFwul+8Js/fee0/19fUaO3asBg4cqIqKCj3zzDP6wx/+4HvtBx54QH/+85/18MMP67e//a0qKyu1fv16bd68OVjLBQAAYSxogUiS1qxZo6KiImVlZSkyMlK5ubl6+eWXfee9Xq/q6up0+vRpX9uiRYt8fVtbW5WTk6MlS5b4zkdHR2vx4sUqLi6WMUZXXXWVXnjhBc2aNcvXZ/jw4dq8ebOKi4v10ksv6Sc/+YmWLVumnJycYC4XAACEqaB9D1G443uIAAAIPxfd9xABAACECwIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwPAIRAACwvKAGooaGBuXl5clut8vhcCg/P1+nTp3qcUxLS4sKCwt16aWX6pJLLlFubq7q6+t951etWqWIiIguj+PHj0uStm/f3uV5j8cTzOUCAIAwFdRAlJeXp3379qmiokKbNm3Sjh07VFBQ0OOY4uJivffee9qwYYM++ugjff3115o8ebLv/D333KNjx475HTk5Obr55puVkJDgN1ddXZ1fvx+fBwAAkKSoYE1cU1Oj8vJy7dmzR2PGjJEkvfLKK5o0aZKef/55JScndxrT1NSk5cuXa+3atZowYYIkaeXKlUpLS9Mnn3yisWPHatCgQRo0aJBvzDfffKPKykotX76803wJCQlyOBxBWiEAAOgvgnaFyO12y+Fw+MKQJGVnZysyMlK7d+/uckxVVZW8Xq+ys7N9bSNHjtSwYcPkdru7HLN69WoNHjxYU6ZM6XRu9OjRSkpK0q233qpdu3b1WG9ra6uam5v9DgAAYA1BC0Qej6fTR1RRUVGKi4vr9l4ej8ejmJiYTld1EhMTux2zfPlyTZs2ze+qUVJSkpYuXaqNGzdq48aNSklJ0S233KLPPvus23rnz5+v2NhY35GSktLbpQIAgDAXcCAqLS3t9qbmM0dtbW0wau3E7XarpqZG+fn5fu0jRozQ/fffr/T0dI0bN04rVqzQuHHjtGjRom7nmjt3rpqamnzH4cOHg10+AAC4SAR8D9Hs2bM1c+bMHvukpqbK6XT6nvo6o729XQ0NDXI6nV2OczqdamtrU2Njo99Vovr6+i7HLFu2TKNHj1Z6evo5687IyNDOnTu7PW+z2WSz2c45DwAA6H8CDkTx8fGKj48/Zz+Xy6XGxkZVVVX5AktlZaU6OjqUmZnZ5Zj09HRFR0dr27Ztys3NlfTDk2KHDh2Sy+Xy63vq1CmtX79e8+fP71Xd1dXVSkpK6lVfAABgLUF7yiwtLU0TJ07UrFmztHTpUnm9XhUVFWnq1Km+J8yOHj2qrKwsrV69WhkZGYqNjVV+fr5KSkoUFxcnu92uhx56SC6XS2PHjvWb/80331R7e7t+85vfdHrtF198UcOHD9eoUaPU0tKiZcuWqbKyUlu3bg3WcgEAQBgLWiCSpDVr1qioqEhZWVmKjIxUbm6uXn75Zd95r9eruro6nT592te2aNEiX9/W1lbl5ORoyZIlneZevny5Jk+e3OVj9W1tbZo9e7aOHj2qwYMH67rrrtMHH3yg8ePHB2ehAAAgrEUYY8yFLuJi1NzcrNjYWDU1Nclut1/ocgAAQC/09f2bv2UGAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsj0AEAAAsL2iBqKGhQXl5ebLb7XI4HMrPz9epU6d6HPPaa6/plltukd1uV0REhBobG/s07z/+8Q/ddNNNGjhwoFJSUrRw4cLzujYAANC/BC0Q5eXlad++faqoqNCmTZu0Y8cOFRQU9Djm9OnTmjhxoh555JE+z9vc3KzbbrtNV1xxhaqqqvTcc8/p8ccf12uvvXbe1gYAAPqXCGOMOd+T1tTU6JprrtGePXs0ZswYSVJ5ebkmTZqkI0eOKDk5ucfx27dv1/jx43XixAk5HI6A5n311Vc1b948eTwexcTESJJKS0v17rvvqra2ttdraG5uVmxsrJqammS32wPdAgAAcAH09f07KhjFuN1uORwOX2iRpOzsbEVGRmr37t361a9+FbR53W63fvGLX/jCkCTl5OTo2Wef1YkTJzR06NAu525tbVVra6vv56amJkk/bCwAAAgPZ963A73eE5RA5PF4lJCQ4P9CUVGKi4uTx+MJ6rwej0fDhw/365OYmOg7110gmj9/vp544olO7SkpKX2uFwAAXBgnT55UbGxsr/sHFIhKS0v17LPP9tinpqYmkCkvGnPnzlVJSYnv546ODjU0NOjSSy9VRETEeXud5uZmpaSk6PDhw3wUF2TsdWiwz6HBPocG+xwawdxnY4xOnjx5zttzfiygQDR79mzNnDmzxz6pqalyOp06fvy4X3t7e7saGhrkdDoDKvBsvZnX6XSqvr7er8+Zn3t6bZvNJpvN5td29v1L55vdbud/thBhr0ODfQ4N9jk02OfQCNY+B3Jl6IyAAlF8fLzi4+PP2c/lcqmxsVFVVVVKT0+XJFVWVqqjo0OZmZkBFxnIvC6XS/PmzZPX61V0dLQkqaKiQiNGjOj24zIAAGBtQXnsPi0tTRMnTtSsWbP06aefateuXSoqKtLUqVN9l7COHj2qkSNH6tNPP/WN83g8qq6u1pdffilJ+vzzz1VdXa2GhoZezztt2jTFxMQoPz9f+/bt05tvvqmXXnrJ7+MwAAAAPyZI/vOf/5hf//rX5pJLLjF2u93ce++95uTJk77zBw8eNJLMhx9+6GsrKyszkjodK1eu7PW8xhjz97//3dx4443GZrOZyy+/3CxYsCBYywxYS0uLKSsrMy0tLRe6lH6PvQ4N9jk02OfQYJ9D42Lc56B8DxEAAEA44W+ZAQAAyyMQAQAAyyMQAQAAyyMQAQAAyyMQAQAAyyMQBcHixYv105/+VAMHDlRmZqbfdy11ZcOGDRo5cqQGDhyoa6+9Vlu2bAlRpeEvkL1+/fXXddNNN2no0KEaOnSosrOzz/nfBj8I9Hf6jHXr1ikiIkJ33XVXkCvsHwLd58bGRhUWFiopKUk2m01XX301/370QqD7/OKLL2rEiBEaNGiQUlJSVFxcrJaWlhBVG5527NihO+64Q8nJyYqIiNC77757zjHbt2/X9ddfL5vNpquuukqrVq0KfqFnu9DP/fc369atMzExMWbFihVm3759ZtasWcbhcJj6+vou++/atcsMGDDALFy40Ozfv988+uijJjo62nz++echrjz8BLrX06ZNM4sXLzZ79+41NTU1ZubMmSY2NtYcOXIkxJWHl0D3+YyDBw+ayy+/3Nx0003mzjvvDFG14SvQfW5tbTVjxowxkyZNMjt37jQHDx4027dvN9XV1SGuPLwEus9r1qwxNpvNrFmzxhw8eNC8//77JikpyRQXF4e48vCyZcsWM2/ePPP2228bSeadd97psf+BAwfM4MGDTUlJidm/f7955ZVXzIABA0x5eXmIKjaGQHSeZWRkmMLCQt/P33//vUlOTjbz58/vsv/dd99tbr/9dr+2zMxMc//99we1zv4g0L3+sfb2djNkyBDzl7/8JVgl9gt92ef29nYzbtw4s2zZMjNjxgwCUS8Eus+vvvqqSU1NNW1tbaEqsV8IdJ8LCwvNhAkT/NpKSkrMDTfcENQ6+5PeBKKHH37YjBo1yq/tnnvuMTk5OcEszQ8fmZ1HbW1tqqqqUnZ2tq8tMjJS2dnZcrvdXY5xu91+/SUpJyen2/74QV/2+sdOnz4tr9eruLi4YJUZ9vq6z08++aQSEhKUn58fijLDXl/2+W9/+5tcLpcKCwuVmJion/3sZ3rmmWf0/fffh6rssNOXfR43bpyqqqp8H6sdOHBAW7Zs0aRJk0JSs1VcDO+FAf1xV/Ts22+/1ffff6/ExES/9sTERNXW1nY5xuPxdNnf4/EErc7+oC97/WNz5sxRcnJyp/8J8X/6ss87d+7U8uXLVV1dHYoS+4W+7POBAwdUWVmpvLw8bdmyRV9++aUefPBBeb1elZWVhaLssNOXfZ42bZq+/fZb3XjjjTLGqL29XQ888IAeeeSRUJRsGd29FzY3N+u7777ToEGDgl4DV4hgSQsWLNC6dev0zjvvaODAgRe6nH7j5MmTmj59ul5//XVddtllF7qcfq2jo0MJCQl67bXXlJ6ernvuuUfz5s3T0qVLL3Rp/cr27dv1zDPPaMmSJfrss8/09ttva/PmzXrqqacudGk4z7hCdB5ddtllGjBggOrr6/3a6+vr5XQ6uxzjdDoD6o8f9GWvz3j++ee1YMECffDBB7ruuuuCWWbYC3Sf//Wvf+mrr77SHXfc4Wvr6OiQJEVFRamurk5XXnllcIsOQ335fU5KSlJ0dLQGDBjga0tLS5PH41FbW5tiYmKCWnM46ss+P/bYY5o+fbruu+8+SdK1116r//73vyooKNC8efMUGcl1hfOhu/dCu90ekqtDEleIzquYmBilp6dr27ZtvraOjg5t27ZNLperyzEul8uvvyRVVFR02x8/6MteS9LChQv11FNPqby8XGPGjAlFqWEt0H0eOXKkPv/8c1VXV/uOX/7ylxo/fryqq6uVkpISyvLDRl9+n2+44QZ9+eWXvsApSf/85z+VlJREGOpGX/b59OnTnULPmRBq+Nvo581F8V4Ystu3LWLdunXGZrOZVatWmf3795uCggLjcDiMx+Mxxhgzffp0U1pa6uu/a9cuExUVZZ5//nlTU1NjysrKeOy+lwLd6wULFpiYmBjz1ltvmWPHjvmOkydPXqglhIVA9/nHeMqsdwLd50OHDpkhQ4aYoqIiU1dXZzZt2mQSEhLMn/70pwu1hLAQ6D6XlZWZIUOGmL/+9a/mwIEDZuvWrebKK680d99994VaQlg4efKk2bt3r9m7d6+RZF544QWzd+9e8+9//9sYY0xpaamZPn26r/+Zx+7/+Mc/mpqaGrN48WIeu+8PXnnlFTNs2DATExNjMjIyzCeffOI7d/PNN5sZM2b49V+/fr25+uqrTUxMjBk1apTZvHlziCsOX4Hs9RVXXGEkdTrKyspCX3iYCfR3+mwEot4LdJ8//vhjk5mZaWw2m0lNTTVPP/20aW9vD3HV4SeQffZ6vebxxx83V155pRk4cKBJSUkxDz74oDlx4sQFqDx8fPjhh13+e3tmb2fMmGFuvvnmTmNGjx5tYmJiTGpqqlm5cmVIa44whmt+AADA2riHCAAAWB6BCAAAWB6BCAAAWB6BCAAAWB6BCAAAWB6BCAAAWB6BCAAAWB6BCAAAWB6BCAAAWB6BCAAAWB6BCAAAWN7/AMv+Gak2shzAAAAAAElFTkSuQmCC", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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7ETU8BiIi0noXLlzABx98gH/++Qc5OTlwcHDAK6+8go8//rjBVm3XBoIgYNq0aTh27BhSUlIgk8kwYMAA/Pvf/4aHh4emq0fUpDEQERERkd7jGCIiIiLSewxEREREpPc4MWM1FAoFkpKSYG5uzonEiIiIdIQgCMjNzYWjo2OdJqtlIKpGUlKSyrpJREREpDvu3buH1q1b17o8A1E1zM3NAYhfUAsLCw3XhoiIiGojJycHzs7Oyvfx2mIgqkZZN5mFhQUDERERkY6p63AXDqomIiIivcdARERERHqPgYiIiIj0HgMRERER6T0GIiIiItJ7DERERESk9xiIiIiISO8xEBEREZHeYyAiIiIivcdARERERHqPgYiIiIj0HgMRERER6T0GIiIiItJ7DERERESk9xiIiIiISO8xEBEREZHeYyAiIiIivcdARERERHqPgYiIiIj0HgMRERER6T0GIiIiItJ7jRKI1q9fDxcXF5iYmMDLywvnzp2rtuzVq1cxduxYuLi4QCKRYM2aNfU6ZkFBAd555x20bNkSZmZmGDt2LFJTUxv0uoiIiKhpUHsg2rNnD4KDg7F06VJERUWhZ8+e8PPzQ1paWpXlHz58iHbt2mHlypVwcHCo9zHnzZuHgwcPYu/evTh+/DiSkpIwZswYtVwjERER6TaJIAiCOk/g5eWFvn37Yt26dQAAhUIBZ2dnBAUF4cMPP3zia11cXDB37lzMnTu3TsfMzs6Gra0tdu3ahXHjxgEAoqOj0aVLF0RERKB///411jsnJweWlpbIzs6GhYVFfS6diIiIGll937/V2kJUWFiIyMhI+Pr6lp9QKoWvry8iIiLUdszIyEgUFRWplOncuTPatGlT7XnlcjlycnJUHkRERKQf1BqIMjIyUFJSAnt7e5X99vb2SElJUdsxU1JSYGxsDCsrq1qfNyQkBJaWlsqHs7NzvepHREREuod3mZVasGABsrOzlY979+5pukpERETUSAzVeXAbGxsYGBhUursrNTW12gHTDXFMBwcHFBYWIisrS6WV6EnnlclkkMlk9aoTERER6Ta1thAZGxvD09MTYWFhyn0KhQJhYWHw9vZW2zE9PT1hZGSkUiYmJgbx8fH1Pi8RERE1XWptIQKA4OBgTJkyBX369EG/fv2wZs0a5OfnY9q0aQCAyZMnw8nJCSEhIQDEQdPXrl1TbicmJuLSpUswMzNDhw4danVMS0tLBAYGIjg4GC1atICFhQWCgoLg7e1dqzvMiIiISL+oPRAFBAQgPT0dS5YsQUpKCjw8PBAaGqocFB0fHw+ptLyhKikpCb169VL+/4svvsAXX3yBwYMH49ixY7U6JgD85z//gVQqxdixYyGXy+Hn54dvvvlG3ZdLREREOkjt8xDpKs5DREREpHu0ch4iIiIiIl3AQERERER6j4GIiIiI9B4DEREREek9BiIiIiLSewxEREREpPcYiIiIiEjvMRARERGR3mMgIiIiIr3HQERERER6j4GIiIiI9B4DEREREek9BiIiIiLSewxEREREpPcYiIiIiEjvMRARERGR3mMgIiIiIr3HQERERER6j4GIiIiI9B4DEREREek9BiIiIiLSewxEREREpPcYiIiIiEjvMRARERGR3mMgIiIiIr3HQERERER6j4GIiIiI9B4DEREREek9BiIiIiLSewxEREREpPcYiIiIiEjvMRARERGR3muUQLR+/Xq4uLjAxMQEXl5eOHfu3BPL7927F507d4aJiQm6d++OP/74Q+V5iURS5WPVqlXKMi4uLpWeX7lypVquj4iIiHSb2gPRnj17EBwcjKVLlyIqKgo9e/aEn58f0tLSqiwfHh6OCRMmIDAwEBcvXoS/vz/8/f1x5coVZZnk5GSVx48//giJRIKxY8eqHOvjjz9WKRcUFKTWayUiIiLdJBEEQVDnCby8vNC3b1+sW7cOAKBQKODs7IygoCB8+OGHlcoHBAQgPz8fhw4dUu7r378/PDw8sGHDhirP4e/vj9zcXISFhSn3ubi4YO7cuZg7d2696p2TkwNLS0tkZ2fDwsKiXscgIiKixlXf92+1thAVFhYiMjISvr6+5SeUSuHr64uIiIgqXxMREaFSHgD8/PyqLZ+amorff/8dgYGBlZ5buXIlWrZsiV69emHVqlUoLi6utq5yuRw5OTkqDyIiItIPhuo8eEZGBkpKSmBvb6+y397eHtHR0VW+JiUlpcryKSkpVZbfunUrzM3NMWbMGJX97777Lnr37o0WLVogPDwcCxYsQHJyMr788ssqjxMSEoLly5fX9tKIiIioCVFrIGoMP/74IyZOnAgTExOV/cHBwcrtHj16wNjYGLNmzUJISAhkMlml4yxYsEDlNTk5OXB2dlZfxYmIiEhrqDUQ2djYwMDAAKmpqSr7U1NT4eDgUOVrHBwcal3+5MmTiImJwZ49e2qsi5eXF4qLixEbG4tOnTpVel4mk1UZlIiIiKjpU+sYImNjY3h6eqoMdlYoFAgLC4O3t3eVr/H29lYpDwCHDx+usvymTZvg6emJnj171liXS5cuQSqVws7Oro5XQURERE2d2rvMgoODMWXKFPTp0wf9+vXDmjVrkJ+fj2nTpgEAJk+eDCcnJ4SEhAAA5syZg8GDB2P16tUYNWoUdu/ejQsXLmDjxo0qx83JycHevXuxevXqSueMiIjA2bNn8dxzz8Hc3BwRERGYN28eJk2aBGtra3VfMhEREekYtQeigIAApKenY8mSJUhJSYGHhwdCQ0OVA6fj4+MhlZY3VPn4+GDXrl1YtGgRFi5cCDc3Nxw4cADu7u4qx929ezcEQcCECRMqnVMmk2H37t1YtmwZ5HI5XF1dMW/ePJUxQkRERERl1D4Pka7iPERERES6RyvnISIiIiLSBQxEREREpPcYiIiIiEjvMRARERGR3mMgIiIiIr3HQERERER6j4GIiIiI9B4DEREREek9BiIiIiLSewxEREREpPcYiIiIiEjvMRARERGR3mMgIiIiIr3HQERERER6j4GIiIiI9B4DEREREek9BiIiIiLSewxEREREpPcYiIiIiEjvMRARERGR3mMgIiIiIr3HQERERER6j4GIiIiI9B4DEREREek9BiIiIiLSewxEREREpPcYiIiIiEjvMRARERGR3mMgIiIiIr3HQERERER6j4GIiIiI9B4DEREREem9RglE69evh4uLC0xMTODl5YVz5849sfzevXvRuXNnmJiYoHv37vjjjz9Unp86dSokEonKY/jw4SplMjMzMXHiRFhYWMDKygqBgYHIy8tr8GsjIiIi3af2QLRnzx4EBwdj6dKliIqKQs+ePeHn54e0tLQqy4eHh2PChAkIDAzExYsX4e/vD39/f1y5ckWl3PDhw5GcnKx8/PTTTyrPT5w4EVevXsXhw4dx6NAhnDhxAjNnzlTbdRIREZHukgiCIKjzBF5eXujbty/WrVsHAFAoFHB2dkZQUBA+/PDDSuUDAgKQn5+PQ4cOKff1798fHh4e2LBhAwCxhSgrKwsHDhyo8pzXr19H165dcf78efTp0wcAEBoaipEjRyIhIQGOjo6VXiOXyyGXy5X/z8nJgbOzM7Kzs2FhYVH/LwARERE1mpycHFhaWtb5/VutLUSFhYWIjIyEr69v+QmlUvj6+iIiIqLK10RERKiUBwA/P79K5Y8dOwY7Ozt06tQJb731Fu7fv69yDCsrK2UYAgBfX19IpVKcPXu2yvOGhITA0tJS+XB2dq7z9RIREZFuUmsgysjIQElJCezt7VX229vbIyUlpcrXpKSk1Fh++PDh2LZtG8LCwvDZZ5/h+PHjGDFiBEpKSpTHsLOzUzmGoaEhWrRoUe15FyxYgOzsbOXj3r17db5eIiIi0k2Gmq5AfYwfP1653b17d/To0QPt27fHsWPHMHTo0HodUyaTQSaTNVQViYiISIeotYXIxsYGBgYGSE1NVdmfmpoKBweHKl/j4OBQp/IA0K5dO9jY2ODWrVvKYzw+aLu4uBiZmZlPPA4RERHpJ7UGImNjY3h6eiIsLEy5T6FQICwsDN7e3lW+xtvbW6U8ABw+fLja8gCQkJCA+/fvo1WrVspjZGVlITIyUlnm6NGjUCgU8PLyeppLIiIioiZI7bfdBwcH4/vvv8fWrVtx/fp1vPXWW8jPz8e0adMAAJMnT8aCBQuU5efMmYPQ0FCsXr0a0dHRWLZsGS5cuIDZs2cDAPLy8vD+++/jzJkziI2NRVhYGEaPHo0OHTrAz88PANClSxcMHz4cb7zxBs6dO4fTp09j9uzZGD9+fJV3mBEREZF+U/sYooCAAKSnp2PJkiVISUmBh4cHQkNDlQOn4+PjIZWW5zIfHx/s2rULixYtwsKFC+Hm5oYDBw7A3d0dAGBgYID//e9/2Lp1K7KysuDo6Ihhw4bhk08+URkDtHPnTsyePRtDhw6FVCrF2LFjsXbtWnVfLhEREekgtc9DpKvqO48BERERaY5WzkNEREREpAsYiIiIiEjvMRARERGR3mMgIiIiIr3HQERERER6j4GIiIiI9B4DEREREek9BiIiIiLSewxEREREpPcYiIiIiEjvMRARERGR3mMgIiIiIr3HQERERER6j4GIiIiI9B4DEREREek9BiIiIiLSewxEREREpPcYiIiIiEjvMRARERGR3mMgIiIiIr3HQERERER6j4GIiIiI9B4DEREREek9BiIiIiLSewxEREREpPcYiIiIiEjvMRARERGR3mMgIiIiIr3HQERERER6j4GIiIiI9B4DEREREem9RglE69evh4uLC0xMTODl5YVz5849sfzevXvRuXNnmJiYoHv37vjjjz+UzxUVFeGDDz5A9+7d0bx5czg6OmLy5MlISkpSOYaLiwskEonKY+XKlWq5PiIiItJtag9Ee/bsQXBwMJYuXYqoqCj07NkTfn5+SEtLq7J8eHg4JkyYgMDAQFy8eBH+/v7w9/fHlStXAAAPHz5EVFQUFi9ejKioKOzbtw8xMTF46aWXKh3r448/RnJysvIRFBSk1mslIiIi3SQRBEFQ5wm8vLzQt29frFu3DgCgUCjg7OyMoKAgfPjhh5XKBwQEID8/H4cOHVLu69+/Pzw8PLBhw4Yqz3H+/Hn069cPcXFxaNOmDQCxhWju3LmYO3duveqdk5MDS0tLZGdnw8LCol7HICIiosZV3/dvtbYQFRYWIjIyEr6+vuUnlErh6+uLiIiIKl8TERGhUh4A/Pz8qi0PANnZ2ZBIJLCyslLZv3LlSrRs2RK9evXCqlWrUFxcXO0x5HI5cnJyVB5ERESkHwzVefCMjAyUlJTA3t5eZb+9vT2io6OrfE1KSkqV5VNSUqosX1BQgA8++AATJkxQSYLvvvsuevfujRYtWiA8PBwLFixAcnIyvvzyyyqPExISguXLl9fl8oiIiKiJUGsgUreioiK8+uqrEAQB3377rcpzwcHByu0ePXrA2NgYs2bNQkhICGQyWaVjLViwQOU1OTk5cHZ2Vl/liYiISGuoNRDZ2NjAwMAAqampKvtTU1Ph4OBQ5WscHBxqVb4sDMXFxeHo0aM19hN6eXmhuLgYsbGx6NSpU6XnZTJZlUGJiIiImj61jiEyNjaGp6cnwsLClPsUCgXCwsLg7e1d5Wu8vb1VygPA4cOHVcqXhaGbN2/iyJEjaNmyZY11uXTpEqRSKezs7Op5NURERNRUqb3LLDg4GFOmTEGfPn3Qr18/rFmzBvn5+Zg2bRoAYPLkyXByckJISAgAYM6cORg8eDBWr16NUaNGYffu3bhw4QI2btwIQAxD48aNQ1RUFA4dOoSSkhLl+KIWLVrA2NgYEREROHv2LJ577jmYm5sjIiIC8+bNw6RJk2Btba3uSyYiIiIdo/ZAFBAQgPT0dCxZsgQpKSnw8PBAaGiocuB0fHw8pNLyhiofHx/s2rULixYtwsKFC+Hm5oYDBw7A3d0dAJCYmIjffvsNAODh4aFyrv/7v//Ds88+C5lMht27d2PZsmWQy+VwdXXFvHnzVMYIEREREZVR+zxEuorzEBEREekerZyHiIiIiEgXMBARERGR3mMgIiIiIr3HQERERER6j4GIiIiI9B4DEREREek9BiJqNNmPirCfoxvEAAAgAElEQVTxxG1M3XwOf15OBmd8ICIibaHTi7uSboi7n4/Np2Ox93wc9n/7Fjqbt8Q5527Y/vo7WPpiN3RyMNd0FYmISM8xEJFaCIKA87EPsOnUHfx9LRWCANjnZqDj/Xh0vB+PQiMZ1t2+j5FrT+L1/m0xz7cjLJsZabraRESkpxiIqEEVlSjwx+VkbDp1F/9LyFbuH9zRFsHNBOAb8f9ez/XC8G4OCL2agi3hsfj1UiLe9+uMgL7OMJBKNFR7IiLSVwxE1CCyHxbhp/Px2Boei+TsAgCAsaEUY3s7YfoAV7jZmwM7dyrLm3d2w4bXPXH6VgaWH7yKG6l5WLj/MnaejcOyl7qhr0sLTV0KERE9RhAEZD8qQn5hCZysTDVdHbVgIKKnEpuRj82n72JvZAIeFpYAAGzMjDHZ2wUTvdqgpZmsQuHY8m0XFwDAgA42+P3dQdhxJg7/OXwDV5Ny8MqGCLzU0xELRnZGK8um+YtHRKRNBEFA1sMiJDx4hIQHD5Hw4BESs8q3EzIfoseNSMS2cETg+GcQ+Ex7TVe5wTEQUZ0JgoBzdzPxw6m7OHJdHB8EAJ0dzBE40BUveThCZmhQ+YVVBCIAMDKQYtoAV7zU0xFf/H0Du8/H47d/knD4WipmD+mAwIGuMDGq4nhERFQrgiDgwcOi8oBTFnoePFL+P7/0Q21VWuZnYdeeRQCAo3/3Rfhff8CnvU1jVb9RMBBRrRUWi+ODfjh1B1cSc5T7n+tki8CB7TCgQ0tIJE8Y/1NNICrT0kyGkDHdMdGrDZb9dhUX4h5g1V8x2HP+Hj4a1QXDuto/+fhEpDbJ2Y9w4GISLEwNMbijLVpbN9N0lagCQRCQmV9YGm4eVQ4+WY+UrfhPYmsuQ2trU7S2bgYnK9PSbVN0iLkIrBPLxFk54OtdF3EwaGCT6j5jIKIaZT0sxK5z4vig1Bw5AEBmKMVYz9aYPsAFHexqedt8WSCysACsrKot5u5kib1veuO3f5IQ8kc04jMfYtb2SAxys8HSF7vW/nyktxKzHmFVaDRupuVhZPdWGN/XWbX7lmrtZmouvjtxB/Kf9qBL8k1kQYLRfUbDysUJz3ayw+COtujn2oKtuGomCAIy8gpVu7GU/4otPY+Kag48dhUCjzL4lIYeJyvT6r+PpxKUm3LXdsjML8Sb2yOx903vJvO9lwicHa9KOTk5sLS0RHZ2NiwsLDRdHY24k56Hzadj8d/IBOUvmq25DFO82+I1r7Zo0dy49gdTKAATE6CoCOjRA/jnn1q9LF9ejG+O3cL3J+6isEQBQ6kEk71dMMfXDZamvE2fVBUUleC743fwy8Ez2LxjIczl+Tju6omPRgfjxR6OmOrjgu6tLTVdTZ1wPjYT3x2/jSPX0wAAq35fg1euHAEADHvjW9xo4awsa2IkhXe7lhjc0RbPdrKDi01zjdRZlwmCgPQ8uUrAqRh8ErMeoaBI8cRjSCSAvbmJMuBUDD5OVqZwfFLgqckHHwCffw4ASP/vrxh21QQPHhZhnGdrrBrXQ6ta7+v7/s0WIlIhCALO3MnEplN3EBadphwf1KWVBQIHuuLFnq2qHh9Uk+RkMQwBVXaXVae5zBDv+3XGq32c8env13H4Wip+PH0Xv15KxPzhnfCKpzOkvE1f7wmCgL+upuCTQ9eRmPUI1oIB2meKn2hdFXkoLFbgl6gE/BKVgN5trDB1gCtGuDvAyICT9VekUAg4cj0V3524g8i4BwDEN1m/rg4YcscWuCKW++XtAThpYIPjMek4fiMdKTkF+L+YdPxfTDpw8BratmxWGo5s0b9dSzQz5ltNRQVFJYhJycXlxGxcTcrG5cRs3EzNg7y45sDjYGGiDDgVW3laW5uilZVJ/f4+18aNG8pNW88e+LqHGSb/eBb/jUxAz9aWeN3bRT3nbURsIaqGvrUQFRYrcOh/Sfjh5F1cSy4fHzS0sx0CB7rCu30N44Nqkp0N/PKL2G3WsSMwaVK9DnPiRjqWH7yK2+n5AIDuTpZY9lJXeLblbfr66kZqLpYfvIrTt+4DAFpZmmDRsA4Y1cdFLODjg4s/HcKW8Fj8cTkZRSXinzw7cxkmerXFa15tYGuu391p8uIS/HoxCd+duK383TI2kGKspxPeGNQO7WzNgKlTga1bxRdcvw507gxADKMxqbk4HpOOYzHpuBCXqfwaA+L0G16uLZQBqb2tmVa1Jqjbo8ISXEvOwZXEbPGRlIObqbkoVohfI4ecDBzcOhfFUgP83dEb342bWyHomJa29pQGHktTGBtqKMR36wZcuwbIZEB+PmBggO+O30bIn9EwlEqwe2Z/9NGS6VLq+/7NQFQNfQlED/LLxwel5Yrjg0yMpBjbuzWmD3RFe1szDdewsqISBbaGx+KrIzeRKy8GALzcywkfjugMewsTDdeOGkv2oyKsOXID2yLiUKIQYGwoxZvPtMObz7YXWySaNwcePhT/kF8RmzbScguw62w8dp6NR3rpz7uRgQQv9HDEFB8XeDhXP7atKcotKMJP5+Kx6dRd5fhAcxNDTOrfFtN8XGBX8fdpyhRg2zZxOzoa6NSpymPmyYsRfisDx2+IASkx65HK805WpnimNBz5tG8Jc5Om0/WdJy/GtaSK4Scbt9LyoKjiXbZFc2O4O1liIB5gZuBwAEDJhNdgsGtn5cKaVlICNGsGFBaq/D4JgoDZP13E7/9Lhq25DIeCBmrF32AGogbW1APR7fQ8/HjqLn6JSlD2S9uZyzDFxwWv9WsD67qMD9KQ9Fw5vvgrBj9H3oMgAM2MDRA0xA3TB7qor9mYNK5EIWDvhXv4/K8YZOYXAgD8utlj0aiucG5R4c4nR0exq9bJCUhIUDlGYbECf15JxpbwWFyMz1Lu7+lshak+bTGyez27hnVEWk4BNofHYseZOOQWiB8q7C1kCBzoign92lQdUioGopgYsaW3BoIg4HZ6Po7fELvWzty5j8IK3UKGUgk821orB2d3aWWuM61HOQVFuJqYoww+lxOzcTcjH1W9o9qay9DdyRLujhZwd7KEu5MlWlmaiNd6/TrQtatYcOpUYPPmRr2OWrlzB2hfOu/Qyy8D+/Ypn3pYWIyX14cjJjUXnm2t8dMb/TXXilWKgaiBNcVAJAgCIm7fxw+n7uJodJpyf9dWFpgxyBUv9HDU+A9yffxzLwvLDl5VvrG5tGyGxS90xZDOdjrzx5VqJzIuE8t+u4bLieKyMB3szLD0xa4Y5GZbuXDXruKbjZkZkJtb7TH/l5CFLeGxOPRPMgpLxDdrGzMZXvNqg4lebbTiE29DuZOeh+9P3sEvkYnKa21v2xyzBreHv4fTk3//J08Gtm8Xt2sZiB73qLAEZ+7eV449upuRr/K8nbkMgzvaYnAnWwzqYKs16xtmPSzElcQcZfC5mpiN2PsPqyzbytIE3RwtxQDkZIHuTpaqLW2P++cfwMND3H7jDWDjRjVcwVMKDQVGjBC3P/gAWLlS5enYjHy8tO4UcgqKMal/G3zq310DlSzHQNTAmlIgkheX4OA/4vpi10vHB0kkZeOD2qF/uxbqDw4XL4q32zs7A8YN3/qkUAg4cCkRIX9GK7tCnu1ki8UvdNXKbj+qm9ScAnz2ZzT2XUwEAJjLDDH3+Y6Y7N22+oHR3t7AmTPidlERYPjkgb0ZeXL8dDYeO87GKbuPDKUSjOjeClN92qJ3G2udDdiX7mVhw7Hb+OtairIFw7OtNd4c3B5DO9vV7saE118HduwQt2/cANzcnrpecfdLW49i0hF++77KbeNSCdCrjTWeLQ1I7o6WjXIDxf08eelg5xxcThBbfxIePKqybGtrU7g7isGnrOXHpq7TO1y4APTtK26/8w6wbt1TXoEabN8uhjW5HNi0CZg+vVKR/4tOw/St5yEIwOfjeuDVPs5VHKhxMBA1sKYQiDLzC7HzTBy2nYlThgRTIwOM82yNaQNcxIGSjcXNDbh1S5x/6MEDtZ0mT16MdUdvYdOpOygqEWAolWD6QFcEDenQpMYq6At5cQk2n47F12E3kV9YAokEeNXTGe8P71TzG8+IEeInWwC4fx9oUbsBn0UlCvx1NQVbw2NxPrb8Z7W7kyWm+LjghR6tdGLeFUEQcOxGOjYcu42zdzOV+3272OHNwe3rPgC2YiC6eRPo0KEBayveeXUh9gGO30jDsZh03EzLU3m+ZXNjPNPRFoM72mKQm02DzCuVllMgtvokiK0/VxKzlWsxPq5ty2Zi6Clt/enmaNEwQwsiIgAfH3F77lzgP/95+mOqQ0kJcO8eYGkJWFtXWWRt2E18efgGjA2l+O+b3ujRWjNj8hiIGpguB6JbaXn48fRd/BKZoLyN096ifHyQVbNGHh9UzzmInsbdjHx8cuiasmvQxkyGD4Z3wtjerXmbvo74v+g0fHzomrJbpVcbKyx/qVvt/8iOHw/s2SNu37kDuLrWuQ5XErOxLSIWBy4lKce+tGhujAn9nDGpf1utXGuvqES8Y/S743cQnSJ2FRoZSDDawwmznmknLrRcH5MmlS/QrIZA9LjErEelXWtpOH3rPvJKb6AAxBbuHk6WGFw69sjD2QoGT/i9FgQBKTkFpS0+5YOey24kqUgiAVxtmpcHHycLdHO0VN+8ZydOAIMHi9vvv6+c60cXKRQCZm6PxJHrqXC0NMFvQQPr3mLWABiIGpiuBSJBEHD61n1sOnVHnAuklLuTBWYMbIeR3VtpbnxQYiLQurW4/dJLwK+/NtqpH39T7eksvqnq291EuuTxMGtrLsOCEZ3h7+FUtzA7a1b5eIyoKKBXr3rXKTO/ELvPx2NHRBySSlsQDKQS+HWzx1QfV/R10Xx3Wr68GHvO38OmU3eVd3Y1NzbAa15tMH2g69OHtxUrgL//Frd37RIHqzeSohIFIuMeKO9cu15hahAAsDQ1wiA3G3H8UUdbyIsVyvl9rpQOfL5fOgC/IqlEHIcmdnuJj66OFjCTNeK8SWFhgK+vuL1wofh11mE5BUXwX3cadzLy0b9dC+wI9IJhI8/3xUDUwHQlEMmLS/DrpST8eOqu8tOgRAL4drHHjIGu6OfaCOODanL6NDBwoLj97rvAV1816ukLixXYEn4Xa8NuKT9ljvNsjfnDO8HOvOkMmNV1j3d3GhmUdXe61e8N6vhxcfCvlZX4hlPLLrMnKS5R4Mj1VGwJj8WZO+XdUF1aWWCqT1uM9nBq9O60jDw5toXHYmtEHLIfiZOf2pjJMG2ACyZ5tdWagckNKTWnACdupOPYjXScvJGOnILiGl9jIJXAzc6sdLCz+OjSylzzk0ZWHLC8dCmwbJlGq9MQbqXlYvS608gvLMGMga5Y9ELXRj0/A1ED0/ZAdD9Pjp1n47EtIg4ZeeXjg17t0xrTBrhq19T5O3eWT8T45ZfAvHkaqUZabgE+D43BfyPFW7DNZIZ4d2gHTPVx1cm765qKsgHxK/+MVnZhPNvJFkte6Nq449zq6HpyDrZFxGL/xUTl1BVWzYwQ0NcZr/dvq/bFT+PvP8T3J+/g5wv3lF3jLi2bYeYz7TGmd+MHM00pLlHgn4RsHI9Jg/PqFRhy8lfISoqwcM7XaN6/L7qVtv50djDXzq/JwYNiyzkAfPop8NFHmq3P427eBObPF+edGjGivHuvBqFXkvHmjigAwFfjPTDao/FaFBmIGpi2BqKbqbn48fRd7ItKVP4RdLAwwdQBLpjQt412fhpcsQJYtEjc3rdPnMdCgy7GP8Cy367inwTx1u12Ns2x+MWueK6TnUbrpY/+l5CFZb9dRVSFKROWvNgVQzrba7hmtZf1sBA/X7iHbRFxyruRpBLg+a72mOLjAu92TznL+2OuJGZjw/Hb+ONysnLCvx6tLfHm4Pbw6+bwxLE0TV5wcPmg5NOnywcra7P4eODoUXGMZZ8+T9W1qxb79gFjx4rbH38MLF5c65d+HhqNb47dhomRFPvfHoAurRrnvZRrmTVhgiDg1K0M/HDyLo7fKB8f1KO1JQIHumJk91bavSZT2Sr3QJ3WMVOXXm2ssf/tAfglKgGfhcbgTkY+pm0+jyGd7bD4ha5w1abWtSYqI0+cVHPPBd2fVNOqmTFmPtMegQPbIex6KrZGxOL0rfv462oq/rqaik725pji4wL/Xo717p4pGyO44fhtnLqVodw/uKMtZg1u1+ChS2dVnNJDXnnAtFZq00ackFFbVVjDrK5zT703rBOuJOXgxI10zNoeid9mD2j8m3rqgIFIixUUleC3S0nYdOouYlLLxwcN62qPGYPaoU9bzQ/krBUtC0QAIJVK8EofZwx3d8DXR2/hx9LJKk/eTEfgwHaYPaRD4w6s1BNFJQpsj4jDf47cUM6QrLZlVwoKxJ+97GzAxqZ8pl01MZBKMKybA4Z1c8CN1FxsDY/FvqhExKTmYuH+y1j553UE9HXGZG8X1Rm1n6C4RIE/r6TguxO3cSUxR3meF3u0wsxn2qOrYyO2Xi9YAPz1l/hH6OBBcSZwbSOrcEdTYeVB1FQPTxGIDKQSrB3vgRfXnUJ85kPM2X0JP07tq7WtmOwyq4Ymu8wy8uTYcSYOO87EISNP/KVuZmyAV/s4Y9oAF7RtqWMtGGVzEFlYAFlZ4h9ULXMrLQ+fHLqmbIGzM5dhfL82kErEpSKKSgQUlyhQrBBQrFCguKR0n6J0X0npPkWFcqX/FpUIKFEoYCoRYC4zhGlzE5ibGMJcZggzE0OYyYxgVvp/cxNDmJXuNy/dbyYzbBJjnE7dzMDyg1eV88u4O1lg+Uvd1Lcwb8XB/PPmiePXGln2oyLsvXAP28/EIa50ZuOySVGn+rhiQIeqW3YeFZbgv5H38P3Ju4jPFF9namSAgL7OCBzoWutA1aACAoCffxa3797Vmg83Kv797/IxOL/+Wj42h+pv4EDxdwkQZ3w3q/u4vmtJORjz7WkUFCkw+7kO+Jdf1evgNRR2mTUBN1JzsenkXey/lKic88TRUhwfFNC3jfrmwVAnQQDSSpcJcXHRyjAEiLfebpnWF0ej0/DL+r3oeCoccRGtENGmB1IsbJ7q2IPuRuGNc/vROykas1+aj8Pt+9b5GMaGUlhUCEtmMjFIlQUocxNDZahShqzS/RVDlia6o+5lPsSK368j9GoKAHEen/l+nfBKH2f1flK0tCzfzs5W33meVAVTI8wY1A7TB7ji2I00bAmPw4kb6ThyPQ1Hrqehg50Zpni3xZjerdFcZoish4XYFhGHLeGxynXarJsZYaqPKyZ7t9WeNQa19PdYpYVIV7rM0tOBpCTAyEicnkSLxqwCKG8hcnKqVxgCgK6OFvhsbA/M2X0J6/7vFtydLDHc3aEBK9kwGiUQrV+/HqtWrUJKSgp69uyJr7/+Gv369au2/N69e7F48WLExsbCzc0Nn332GUaOHKl8XhAELF26FN9//z2ysrIwYMAAfPvtt3CrMJV8ZmYmgoKCcPDgQUilUowdOxZfffUVzOr5DVUXQRBw4mYGfjh5Bydvlo8N6NnaEoGD2mGEu4N2jw+qiUQizkydlqaxN6XakkgkGNrFHoPtMmF4+icAwM75/8FNnz4wkEpgaCCBkVQKQwMJDKUSGBpIxX9Lt40MJDBUPl9ezuFwKrr9fBEA8JFZOp5/2R15BcXIkxcjt0B85MmLkCcvRl5BMXJL/82TF+NhobiUQWGxAhl5hcoWw/oyNpAqA5X5Y/+WBSmVEFVFa5W5iSFkhtIau2sfFZbg2+O38d3x25AXK2AglWCyd1vMHdqxcQb/VwxEWVnVl2sEUqkEQzrbY0hne9xOz8O28Fj8NzIBt9LysPjXq/g8NAYD3Wxw/Ea68nve2toUbwxqh1f7OMPUWAvGVelCZ4IuBqLdu8XpSABxiYyyO3K1wYMHYmAD6rV2XUWjPZzwz71s/Hj6Lt77+RI62A1AB7t6ThKqJmoPRHv27EFwcDA2bNgALy8vrFmzBn5+foiJiYGdXeW7esLDwzFhwgSEhITghRdewK5du+Dv74+oqCi4u7sDAD7//HOsXbsWW7duhaurKxYvXgw/Pz9cu3YNJibiOISJEyciOTkZhw8fRlFREaZNm4aZM2di165d6r7kWikoKsGBi4nYdOqusgtBKgH8ujkgcKArPHVlfFBtSKWAg4P40AGGFcY8TXztOaBnt6c7YItRwBxx0+3GJbh5ta31S4tLFMiXlyC3msCUW1BUaV9Z0Kr4fH5ZsCpRIDO/UNn6UF9GBhLVEFWhlcpMZohmxgb4/X/JykkMfdq3xLKXuqFjfWdJrg+rCpNvalEYb29rhuWj3fEvv074JTIB2yLi4Hl0P0zD5Rhh3AzXh72MWYPbYVT3Vo0+oV2taevfJl0cVF1UVL6thnUen8rNm+XbTxmIAGDByM64mpSNs3czMXN7JH59Z4BWLamk9jFEXl5e6Nu3L9aVLlinUCjg7OyMoKAgfPjhh5XKBwQEID8/H4cOHVLu69+/Pzw8PLBhwwYIggBHR0e89957+Ne//gUAyM7Ohr29PbZs2YLx48fj+vXr6Nq1K86fP48+ffoAAEJDQzFy5EgkJCTAsRaDAdU1hig9V47tpeODyt6UmhsbIKBvG0wbUPvBlqRGzz4rTuoHiG+kDfH979RJbHo2MhJbK5o17ve5RCEgv7BYpWWqYmCquE/5/8eezysoRl5hcY0NBX0SrsLvRgRut2iNGz19MPP1Z+HXzaHxA74giAu6KhTi7cznzzfu+WtJoRBQ6NQaJilJkNs5wDglSTs/DL3yCvDf/4rb8fHiQs3aZuvW8ju21q8H3n5bo9Wplc8+A8reC7VgWhIVO3aIa9gBwOrV4rQGTykjT44Xvz6F5OwCPN/VHt9N8mzw5ZS0cgxRYWEhIiMjsWDBAuU+qVQKX19fREREVPmaiIgIBD/2Rffz88OBAwcAAHfv3kVKSgp8y6Y6B2BpaQkvLy9ERERg/PjxiIiIgJWVlTIMAYCvry+kUinOnj2Ll6v4gZPL5ZBX+ESRk5NTqUxDmL7lPC4nip9WnaxMMdXHBQH9nGGhRSlZ7925I/5rY9Nw/fnPPCMGoqIi4OxZ4LnnGua4tWQglcDCxOipf84UCgEPi0pKQ1IRcgqKVQJTrrwYXX84DO/z4u9r4dRBMHZv1RCXUHcSidht9uCBxrvMnkQqlcBEIqZMmcxIe1tfdIEu3mVWsYXISMveB57iDrPq2JjJ8O0kT7y6IQKHr6XiuxN38Naz6r0DtLbUGogyMjJQUlICe3vVSdbs7e0RHR1d5WtSUlKqLJ+SkqJ8vmzfk8o83h1naGiIFi1aKMs8LiQkBMuXL6/lldXfRK822H3+HmYMcsXwbg7a2yTeUDZsEJtdXVyAyZNVx3VoI7kcSBBnska7dg133GeeAX74Qdw+caLRA1FDkUolyrFFQDW3yW8oHwtn7N64U/ZXUhaItKjLrEolYpcmDLRgrFB1KjYNamto698f2LZNDEYeHpquTe1ocyAaOBCYM0cMRl0b7nfZw9kKn/h3w+bTsRjZXXuGUvAus1ILFixQaZnKycmBsxqahF/t44zx/do0+HG11r59wOHD4vZrr2m2LrURG1v+h7+hA1GZEyca7rjaqOzDjlSq9hXRa1QWwLOzxe+rtr6RMxA1DBcX7ZwO4Em0ORANGyY+1CCgbxu83Ku1Vk0potaa2NjYwMDAAKmpqSr7U1NT4VDNAFsHB4cnli/7t6YyaWW3epcqLi5GZmZmteeVyWSwsLBQeahDQ/eVar2yAcpmZg2yuKbalXWXAQ07kV/btuVjLiIidKc5v64EoTwQuboCJhpePLdsYHVhoThRo7bShUBE6qHNgUjNtCkMAWoORMbGxvD09ERYWJhyn0KhQFhYGLy9vat8jbe3t0p5ADh8+LCyvKurKxwcHFTK5OTk4OzZs8oy3t7eyMrKQmRkpLLM0aNHoVAo4OXl1WDXRzVQKIC4OHFbi+cgUlExEDVkCxFQ3kr06BFQ4WezSUlMBPLzxe3OnTVbF0Ar5iKqFV0IRBMniusSrlihfXPl6LKKH470LBBpG7V3mQUHB2PKlCno06cP+vXrhzVr1iA/Px/Tpk0DAEyePBlOTk4ICQkBAMyZMweDBw/G6tWrMWrUKOzevRsXLlzAxo0bAYhzxcydOxeffvop3NzclLfdOzo6wt/fHwDQpUsXDB8+HG+88QY2bNiAoqIizJ49G+PHj6/VHWbUQFJSyn/ZdaUZ+/bt8m11BKKdO8Xt8+eBaj4U6LSKYwO1IRBt3Ah8/70YjCoOuNU2xeIyJjDU4lEMY8ZougY1e/RI/BmUy8WbIjTdZVsb2nrbfVaW2Kpqb68bH2YbgNp/+wICApCeno4lS5YgJSUFHh4eCA0NVQ6Kjo+Ph1Ra3lDl4+ODXbt2YdGiRVi4cCHc3Nxw4MAB5RxEADB//nzk5+dj5syZyMrKwsCBAxEaGqqcgwgAdu7cidmzZ2Po0KHKiRnXrl2r7sulirRwDbMadegADBkithQ1dCAaOVK8LXjQIN35etSVtgWix26+0Fq60EKkC27cAHr3FrdnzgS++06z9akNbe0y270beOstwNwc2LRJnHahieNaZtXQ5FpmTcauXWIzOwB88QXw3nuarQ+p3+zZ4vwvAHDyZPlaYvRkhoZiKPL0BC5c0HRtdNf16+V3Q02ZAmzZotHq1EpODpCXJwajVq20p5UoOBj4z3/E7bAw8YOijtDKeYhIz+liCxE9HW1rIdIVbm7iG6I2TnZYJju7vAu8ZUvxLkJto4vzEFlYaOeYLDXMQaTtGIhIfRiI9M/QoeIs3Ckp4hgOTYuOFlc9z84Wuyy1tcXq+nVN16BmkycDv/0mbqemAlUsvaRxuriWmbYqC0TNmgF6MvaWgYjUR9cCUWPMU1NcDPz5pzgXkbGxeMdOU1JhVnqtcOVK+bII1tbaG4h0gS6MrtDFtcy0UVFR+R23HTtqZ/mUdk0AACAASURBVGugGjAQkfoMHSrOP5SSohtzEO3aBcybJw6mXrwYGDWq4c8hkYirWefkiJ+wP/1Ub+7g0IiKC7xq8fIdOkEXJmbUxS6zPXvEteGMjIA339T83F0AcPdu+UB/PekuAxiISJ0++EDTNaibO3eA9HTxUfHOj4ZkYCC2UvzxB5CWJjZLd+qknnOR7sxDpGt0IRDpSgvRpk3ls/lPn64dgUgPxw8Bap6YkUinqHMOoooGDSrfbkrLeOTmipNxapOKgUhbW4gePhTHN734IrBsmaZrUz12mamHNt52z0BEpOcqzlLt6qq+81Rc1+zkSfWdp7FNnSrOWdK7t9j6pQ0qdplpawuRXC6OKzt0CDh7VtO1qZ4udJlJJOWhgoGo/hiIiBpQYaFufKKsqCwQ2dqKb+zq0qdPebN4U2ohio4WWzuuXtWeMWO60GVWNlYD0J2JGbU1EAHl3Wa6MoaoYiDSlu//zZvl2wxERE/piy/E2zW7dAFOndJ0bWpWUCCuwwWot7sMEJv1y5btiIsrX+9NlxUXl/8RdXPTniUoZLLy8KmtXWa6Eoh05QPO7dtAZqbuTHBZFtyMjLQnaIaGAjEx4lhHa2tN16bRMBCResTGiiEjOhowNdV0bWpWcYoAdQcioOl1m929W/5JV9smZCxrJWIL0dPRhS4zQLx709paN/7uAOW/N9oyQzUghrOOHYERIzRdk0bFQETqoWtzEFUcP9S+vfrP19QCkTbPUF0WiNhC1HC0ORDpmrJApC3jh/SYlrRrU5NTFojMzLRnPMmTVAxEjdFC1L+/2K1UXNw0xhFpcyDq1UtcasLaunEm36wrXQlEX38tzp8FiL/X1DAYiLQGAxE1PIWifFyMi4v2vQFVpbFuuS/TrJm4+KSlpdhapI1v1HWhzYFo925N1+DJdCUQdeig6RrUzubNwL174td1+XJN16ZmDERag4GIGl5KSvlAQV3oLgOAd94RJ0y8cwfo1q1xzvnDD41znsYQE1O+zYkm66a4uHxbWwaj67JvvwXOnxc/YCxbpv0fNLp0EaeH0Ma14fQMf/uo4VW8a0pXAlGHDrrzCVgblbUQOTmpd8qCpkhXWoh0RdngZEEQw6a2t7z8/bema0ClGIio4bVuLd52HxsrrmdGTVtGBnD/vritbd1lusDaGggKEoNR2XQM2ujIESA5WWxxCQjQ3qDx+PId2lpP0joMRNTwnJ2B997TdC10R1ycOLB69GjAwkLTtam7Fi3ErsboaNU3I23x00/A2rXibfdffQU8/7yma6SqVSuxftrus8/EUAQA/v7aGzR0cYFX0goMREQJCeKSCe3aiZMKNuYdNIsWAStWiNu//y6uaaVrpFJxqRN1LnfyNO7fB86cEbdTUjRbF12mKxMz6uICr6QVOA8R0bFjwLhx4hpcGzc27rk9PMq3m8Lt99pIF5bv0DXaPFBZlwKRQgE8+6zYaslWdY1jCxFRY0/KWFHFle+bwgSN2mjwYGDfPjEYdemi6drorueeA2xsxG1tHvytSyveFxUBx4+L2+ze0zgGIqLGnpSxInt78Tb1mBjxVuGHD8U5inTJZ5+J1+HuLi5cq23atBEf2ur0aXEuKgMDIDgYWLlS0zWq2kcfaboGtaNLLUTauNK9HmOXGVHFSRk1MQ6mrJWoqEgcy6RLCgqAhQuBadOAt97SdG10U3Gx2HVSVCT+S09HlwZVMxBpFbYQEZW1ENnZaWZJgmeeKZ+k8cQJsWtCV9y6Vf4mzlvu64fzEDUsV1expdLYGDAx0XRtnszEBNiwQQxGzs6aro3eYyAi/fboEZCUJG439vihMhUXetW1gdXavGSHrmAgaljvvac7A5RNTYFZszRdCyrFLjPSb2WL0AKNP36oTNu25WNcIiK0v5m/Igaip8dARKQVGIhIv2lyQHVFZa1Ejx4BUVGaq0ddMRA9PQYiIq3AQET6TVsC0aBBQPPm4nwkujSwtiwQSaVcC66+GIiItAIDEem34uLyVaY1NYYIAF5/HXjwQFzo0cdHc/WoC0EoD0Tt2mnnsh26oGIg4mr3T+/XX8UPGP36AYcOabo2pEP420f6bd488ZGXpzqhW2MzNdXcuesrMRHIzxe32V1Wf2whaljp6cCpU+I2l2qhOmAgIgI0c7u9ruP4oYZRXFy+zUD09HRppmrSKgxERNpGoRDX3LK21nRNnkwmA4YPF4MRl8Sov2eeEbt2SkqAbt00XRvdZ24O2NqKP5/aPg8RaRW1jiHKzMzExIkTYWFhASsrKwQGBiIvL++JrykoKMA777yDli1b4v/bu/+gqur8j+MvULjq2OWKARdaNKlJya1xwwGv5ZZC4di3raRvmqyjuyQ1QjsL7hZmDf3Y0n5M9ktzStN1s7XMatYfa6FITnYrh6Q1RHZKW5W8WIuArvFLPt8/GO/XGz/0sl7wcp6PmTMNn/P5fO77fELvy3PPOXfw4MHKyMhQdXW1d/+XX36pu+66S/Hx8Ro4cKASExP1wgsv+MxRUlKikJCQdpuH06e4kP3wg/Q//yMNHSplZ/d2NWc3YYL0979LBw5Iv/1tb1cTvOLipJtvln71q969jq2vuP126ehR6dAhKSurt6tBEAloIMrMzFR5ebmKioq0ceNG7dixQ9ln+Ys+Ly9PGzZs0Lp16/TRRx/pu+++09SpU737S0tLFR0drTfeeEPl5eVasGCB5s+fr5dffrndXJWVlTpy5Ih3iz598SwgSaWlUmqqNGdO28XMvW3IkLYveK2tbfuvMb1dEQBYhwmQvXv3Gklm165d3ra///3vJiQkxFRVVXU4pra21oSFhZl169Z52yoqKowk43a7O32tuXPnmokTJ3p/3r59u5Fkjh071u366+rqjCRTV1fX7TlwgVu92pi22GHMc8/1djVtpkz5/5oqK3u7GgAIOt19/w7YGSK32y2Hw6GxZ3z7dVpamkJDQ/VZJ19gWVpaqubmZqWlpXnbRo0apWHDhsntdnf6WnV1dYqMjGzXPmbMGMXGxurGG2/Uzp07u6y3sbFR9fX1Phv6uDOfQXShfFRx+otepQv7azxOxzb89w4flrZulbZv564ooBcFLBB5PJ52H1H1799fkZGRnV7L4/F4FB4eLofD4dMeExPT6ZhPPvlEb731ls9HcbGxsVq2bJnWr1+v9evXKz4+XjfccIO+6OIJwAsXLlRERIR3i+eL9vq+C+WhjGcKlu81Ky2VHA4pJUVasaK3qwluGza0PZBz0iTpgw96uxrAsvy+y6ygoEBPPfVUl30qKiq6XZA/vvrqK916660qLCzUTTfd5G0fOXKkRo4c6f15/Pjx+uabb7R48WL95S9/6XCu+fPnKz8/3/tzfX09oaivmzKl7Xb7b75p+4bsC8HYsW0X2LpcbW+SF6p9+6T6eunzz6X//d/eria48Rwi4ILgdyCaN2+eZs+e3WWfhIQEOZ1OHT161Ke9paVFNTU1cjqdHY5zOp1qampSbW2tz1mi6urqdmP27t2r1NRUZWdn66GHHjpr3cnJyfr49MO6OmCz2WTjSbvWMm1a23YhCQ8Pjqfr8gyi8+fM5xDxpGqg1/j9py8qKkpRUVFn7edyuVRbW6vS0lIlJSVJkoqLi9Xa2qqUlJQOxyQlJSksLEzbtm1TRkaGpLY7xQ4ePCiXy+XtV15erkmTJmnWrFl64oknzqnusrIyxcbGnlNfAGdBIDp/br+9bQ1PnZJ+8YvergawrID9cyQxMVGTJ0/WnDlztGzZMjU3Nys3N1fTp09XXFycJKmqqkqpqalavXq1kpOTFRERoaysLOXn5ysyMlJ2u1333XefXC6Xxo0bJ6ntY7JJkyYpPT1d+fn53muL+vXr5w1qzz//vEaMGKHRo0eroaFBy5cvV3FxsT68EG6tBvqC04EoPFy69NJeLSXoDR/etgHoVQE9P7tmzRrl5uYqNTVVoaGhysjI0Isvvujd39zcrMrKSp08edLbtnjxYm/fxsZGpaena+nSpd7977zzjr7//nu98cYbeuONN7ztw4cP17fffitJampq0rx581RVVaVBgwbp6quv1tatWzVx4sRAHi5gHb/7nbRnj/Tjj3zMA6BPCDGGe2c7Ul9fr4iICNXV1clut/d2OQAA4Bx09/07oE+qBgAACAYEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkEIgAAYHkBDUQ1NTXKzMyU3W6Xw+FQVlaWTpw40eWYhoYG5eTkaOjQoRo8eLAyMjJUXV3t0yckJKTdtnbtWp8+JSUluuaaa2Sz2XT55Zdr1apV5/vwAABAHxHQQJSZmany8nIVFRVp48aN2rFjh7Kzs7sck5eXpw0bNmjdunX66KOP9N1332nq1Knt+q1cuVJHjhzxbrfddpt334EDB3TzzTdr4sSJKisr0+9//3vdfffd+uCDD877MQIAgOAXYowxgZi4oqJCV155pXbt2qWxY8dKkrZs2aIpU6bo8OHDiouLazemrq5OUVFRevPNN3XHHXdIkvbt26fExES53W6NGzeureiQEL333ns+IehMDzzwgDZt2qSvvvrK2zZ9+nTV1tZqy5Yt51R/fX29IiIiVFdXJ7vd7texAwCA3tHd9++AnSFyu91yOBzeMCRJaWlpCg0N1WeffdbhmNLSUjU3NystLc3bNmrUKA0bNkxut9unb05Oji6++GIlJyfr9ddf15m5zu12+8whSenp6e3mOFNjY6Pq6+t9NgAAYA39AzWxx+NRdHS074v176/IyEh5PJ5Ox4SHh8vhcPi0x8TE+Ix57LHHNGnSJA0aNEgffvih5s6dqxMnTuh3v/udd56YmJh2c9TX1+vHH3/UwIED2732woUL9eijj3brWAEAQHDz+wxRQUFBhxc1n7nt27cvELV6Pfzww7r22mv1i1/8Qg888IDuv/9+PfPMM//VnPPnz1ddXZ13O3To0HmqFgAAXOj8PkM0b948zZ49u8s+CQkJcjqdOnr0qE97S0uLampq5HQ6OxzndDrV1NSk2tpan7NE1dXVnY6RpJSUFD3++ONqbGyUzWaT0+lsd2dadXW17HZ7h2eHJMlms8lms3V5XAAAoG/yOxBFRUUpKirqrP1cLpdqa2tVWlqqpKQkSVJxcbFaW1uVkpLS4ZikpCSFhYVp27ZtysjIkCRVVlbq4MGDcrlcnb5WWVmZhgwZ4g00LpdLmzdv9ulTVFTU5RwAAMC6AnYNUWJioiZPnqw5c+Zo2bJlam5uVm5urqZPn+69w6yqqkqpqalavXq1kpOTFRERoaysLOXn5ysyMlJ2u1333XefXC6X9w6zDRs2qLq6WuPGjdOAAQNUVFSkJ598Un/4wx+8r33vvffq5Zdf1v3336/f/va3Ki4u1ttvv61NmzYF6nABAEAQC1ggkqQ1a9YoNzdXqampCg0NVUZGhl588UXv/ubmZlVWVurkyZPetsWLF3v7NjY2Kj09XUuXLvXuDwsL05IlS5SXlydjjC6//HI999xzmjNnjrfPiBEjtGnTJuXl5emFF17Qz372My1fvlzp6emBPFwAABCkAvYcomDHc4gAAAg+F9xziAAAAIIFgQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFgegQgAAFheQANRTU2NMjMzZbfb5XA4lJWVpRMnTnQ5pqGhQTk5ORo6dKgGDx6sjIwMVVdXe/evWrVKISEhHW5Hjx6VJJWUlHS43+PxBPJwAQBAkApoIMrMzFR5ebmKioq0ceNG7dixQ9nZ2V2OycvL04YNG7Ru3Tp99NFH+u677zR16lTv/mnTpunIkSM+W3p6uq6//npFR0f7zFVZWenT76f7AQAAJKl/oCauqKjQli1btGvXLo0dO1aS9NJLL2nKlCl69tlnFRcX125MXV2dVqxYoTfffFOTJk2SJK1cuVKJiYn69NNPNW7cOA0cOFADBw70jvn+++9VXFysFStWtJsvOjpaDocjQEcIAAD6ioCdIXK73XI4HN4wJElpaWkKDQ3VZ5991uGY0tJSNTc3Ky0tzds2atQoDRs2TG63u8Mxq1ev1qBBg3THHXe02zdmzBjFxsbqxhtv1M6dO7ust7GxUfX19T4bAACwhoAFIo/H0+4jqv79+ysyMrLTa3k8Ho/Cw8PbndWJiYnpdMyKFSs0Y8YMn7NGsbGxWrZsmdavX6/169crPj5eN9xwg7744otO6124cKEiIiK8W3x8/LkeKgAACHJ+B6KCgoJOL2o+ve3bty8QtbbjdrtVUVGhrKwsn/aRI0fqnnvuUVJSksaPH6/XX39d48eP1+LFizuda/78+aqrq/Nuhw4dCnT5AADgAuH3NUTz5s3T7Nmzu+yTkJAgp9PpvevrtJaWFtXU1MjpdHY4zul0qqmpSbW1tT5niaqrqzscs3z5co0ZM0ZJSUlnrTs5OVkff/xxp/ttNptsNttZ5wEAAH2P34EoKipKUVFRZ+3ncrlUW1ur0tJSb2ApLi5Wa2urUlJSOhyTlJSksLAwbdu2TRkZGZLa7hQ7ePCgXC6XT98TJ07o7bff1sKFC8+p7rKyMsXGxp5TXwAAYC0Bu8ssMTFRkydP1pw5c7Rs2TI1NzcrNzdX06dP995hVlVVpdTUVK1evVrJycmKiIhQVlaW8vPzFRkZKbvdrvvuu08ul0vjxo3zmf+tt95SS0uLfv3rX7d77eeff14jRozQ6NGj1dDQoOXLl6u4uFgffvhhoA4XAAAEsYAFIklas2aNcnNzlZqaqtDQUGVkZOjFF1/07m9ublZlZaVOnjzpbVu8eLG3b2Njo9LT07V06dJ2c69YsUJTp07t8Lb6pqYmzZs3T1VVVRo0aJCuvvpqbd26VRMnTgzMgQIAgKAWYowxvV3Ehai+vl4RERGqq6uT3W7v7XIAAMA56O77N99lBgAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALI9ABAAALC9ggaimpkaZmZmy2+1yOBzKysrSiRMnuhzz6quv6oYbbpDdbldISIhqa2u7Ne8//vEPTZgwQQMGDFB8fLyefvrp83psAACgbwlYIMrMzFR5ebmKioq0ceNG7dixQ9nZ2V2OOXnypCZPnqwHH3yw2/PW19frpptu0vDhw1VaWqpnnnlGjzzyiF599dXzdmwAAKBvCTHGmPM9aUVFha688krt2rVLY8eOlSRt2bJFU6ZM0eHDhxUXF9fl+JKSEk2cOFHHjh2Tw+Hwa95XXnlFCxYskMfjUXh4uCSpoKBA77//vvbt23fOx1BfX6+IiAjV1dXJbrf7uwQAAKAXdPf9u38ginG73XI4HN7QIklpaWkKDQ3VZ599pttvvz1g87rdbv3yl7/0hiFJSk9P11NPPaVjx45pyJAhHc7d2NioxsZG7891dXWS2hYWAAAEh9Pv2/6e7wlIIPJ4PIqOjvZ9of79FRkZKY/HE9B5PR6PRowY4dMnJibGu6+zQLRw4UI9+uij7drj4+O7XS8AAOgdx48fV0RExDn39ysQFRQU6KmnnuqyT0VFhT9TXjDmz5+v/Px878+tra2qqanR0KFDFRISct5ep76+XvHx8Tp06BAfxQUYa90zWOeewTr3DNa5ZwRynY0xOn78+Fkvz/kpvwLRvHnzNHv27C77JCQkyOl06ujRoz7tLS0tqqmpkdPp9KvAM53LvE6nU9XV1T59Tv/c1WvbbDbZbDaftjOvXzrf7HY7f9h6CGvdM1jnnsE69wzWuWcEap39OTN0ml+BKCoqSlFRUWft53K5VFtbq9LSUiUlJUmSiouL1draqpSUFL+L9Gdel8ulBQsWqLm5WWFhYZKkoqIijRw5stOPywAAgLUF5Lb7xMRETZ48WXPmzNHnn3+unTt3Kjc3V9OnT/eewqqqqtKoUaP0+eefe8d5PB6VlZXp66+/liTt2bNHZWVlqqmpOed5Z8yYofDwcGVlZam8vFxvvfWWXnjhBZ+PwwAAAHyYAPn3v/9t7rrrLjN48GBjt9vNb37zG3P8+HHv/gMHDhhJZvv27d62wsJCI6ndtnLlynOe1xhjvvzyS3PdddcZm81mLrnkErNo0aJAHabfGhoaTGFhoWloaOjtUvo81rpnsM49g3XuGaxzz7gQ1zkgzyECAAAIJnyXGQAAsDwCEQAAsDwCEQAAsDwCEQAAsDwCEQAAsDwCUQAsWbJEl156qQYMGKCUlBSfZy11ZN26dRo1apQGDBigq666Sps3b+6hSoOfP2v92muvacKECRoyZIiGDBmitLS0s/6/QRt/f6dPW7t2rUJCQnTbbbcFuMK+wd91rq2tVU5OjmJjY2Wz2XTFFVfw98c58Hedn3/+eY0cOVIDBw5UfHy88vLy1NDQ0EPVBqcdO3bolltuUVxcnEJCQvT++++fdUxJSYmuueYa2Ww2XX755Vq1alXgCz1Tb9/339esXbvWhIeHm9dff92Ul5ebOXPmGIfDYaqrqzvsv3PnTtOvXz/z9NNPm71795qHHnrIhIWFmT179vRw5cHH37WeMWOGWbJkidm9e7epqKgws2fPNhEREebw4cM9XHlw8XedTztw4IC55JJLzIQJE8ytt97aQ9UGL3/XubGx0YwdO9ZMmTLFfPzxx+bAgQOmpKTElJWV9XDlwcXfdV6zZo2x2WxmzZo15sCBA+aDDz4wsbGxJi8vr4crDy6bN282CxYsMO+++66RZN57770u++/fv98MGjTI5Ofnm71795qXXnrJ9OvXz2zZsqWHKjaGQHSeJScnm5ycHO/Pp06dMnFxcWbhwoUd9r/zzjvNzTff7NOWkpJi7rnnnoDW2Rf4u9Y/1dLSYi666CLz5z//OVAl9gndWeeWlhYzfvx4s3z5cjNr1iwC0Tnwd51feeUVk5CQYJqamnqqxD7B33XOyckxkyZN8mnLz8831157bUDr7EvOJRDdf//9ZvTo0T5t06ZNM+np6YEszQcfmZ1HTU1NKi0tVVpamrctNDRUaWlpcrvdHY5xu90+/SUpPT290/5o0521/qmTJ0+qublZkZGRgSoz6HV3nR977DFFR0crKyurJ8oMet1Z57/97W9yuVzKyclRTEyMfv7zn+vJJ5/UqVOneqrsoNOddR4/frxKS0u9H6vt379fmzdv1pQpU3qkZqu4EN4L/fpyV3Tthx9+0KlTpxQTE+PTHhMTo3379nU4xuPxdNjf4/EErM6+oDtr/VMPPPCA4uLi2v0hxP/rzjp//PHHWrFihcrKynqixD6hO+u8f/9+FRcXKzMzU5s3b9bXX3+tuXPnqrm5WYWFhT1RdtDpzjrPmDFDP/zwg6677joZY9TS0qJ7771XDz74YE+UbBmdvRfW19frxx9/1MCBAwNeA2eIYEmLFi3S2rVr9d5772nAgAG9XU6fcfz4cc2cOVOvvfaaLr744t4up09rbW1VdHS0Xn31VSUlJWnatGlasGCBli1b1tul9SklJSV68skntXTpUn3xxRd69913tWnTJj3++OO9XRrOM84QnUcXX3yx+vXrp+rqap/26upqOZ3ODsc4nU6/+qNNd9b6tGeffVaLFi3S1q1bdfXVVweyzKDn7zp/8803+vbbb3XLLbd421pbWyVJ/fv3V2VlpS677LLAFh2EuvP7HBsbq7CwMPXr18/blpiYKI/Ho6amJoWHhwe05mDUnXV++OGHNXPmTN19992SpKuuukr/+c9/lJ2drQULFig0lPMK50Nn74V2u71Hzg5JnCE6r8LDw5WUlKRt27Z521pbW7Vt2za5XK4Ox7hcLp/+klRUVNRpf7TpzlpL0tNPP63HH39cW7Zs0dixY3ui1KDm7zqPGjVKe/bsUVlZmXf71a9+pYkTJ6qsrEzx8fE9WX7Q6M7v87XXXquvv/7aGzgl6Z///KdiY2MJQ53ozjqfPHmyXeg5HUIN341+3lwQ74U9dvm2Raxdu9bYbDazatUqs3fvXpOdnW0cDofxeDzGGGNmzpxpCgoKvP137txp+vfvb5599llTUVFhCgsLue3+HPm71osWLTLh4eHmnXfeMUeOHPFux48f761DCAr+rvNPcZfZufF3nQ8ePGguuugik5ubayorK83GjRtNdHS0+dOf/tRbhxAU/F3nwsJCc9FFF5m//vWvZv/+/ebDDz80l112mbnzzjt76xCCwvHjx83u3bvN7t27jSTz3HPPmd27d5t//etfxhhjCgoKzMyZM739T992/8c//tFUVFSYJUuWcNt9X/DSSy+ZYcOGmfDwcJOcnGw+/fRT777rr7/ezJo1y6f/22+/ba644goTHh5uRo8ebTZt2tTDFQcvf9Z6+PDhRlK7rbCwsOcLDzL+/k6fiUB07vxd1scR7gAAALRJREFU508++cSkpKQYm81mEhISzBNPPGFaWlp6uOrg4886Nzc3m0ceecRcdtllZsCAASY+Pt7MnTvXHDt2rBcqDx7bt2/v8O/b02s7a9Ysc/3117cbM2bMGBMeHm4SEhLMypUre7TmEGM45wcAAKyNa4gAAIDlEYgAAIDlEYgAAIDlEYgAAIDlEYgAAIDlEYgAAIDlEYgAAIDlEYgAAIDlEYgAAIDlEYgAAIDlEYgAAIDl/R+ErH48kYh1DAAAAABJRU5ErkJggg==", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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vWLN69Wp5vV79/Oc/91vfsWNHRUdHa/Pmzb51Ho9H27dvv+h5NAAAoHEJ6Fel09LSNHToULVr106lpaVatWqVcnJylJ2dLUlKTU1VXFyc0tPT/fZbvny5Ro4cqTZt2vitt9lseuSRRzR37lx16dJFHTt21PTp0xUbG6uRI0de4qkBAICGKKDwcuLECaWmpqqwsFBOp1OJiYnKzs7W4MGDJUkFBQUKCvK/mLNv3z699957euedd2o85rRp01RWVqYJEyaouLhYAwYM0MaNGxUWFlbLUwIAAA3ZJT/n5UrAc14AADBPnT/nBQAAoD4QXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABgFMILAAAwCuEFAAAYhfACAACMQngBAABGIbwAAACjEF4AAIBRCC8AAMAohBcAAGAUwgsAADAK4QUAABiF8AIAAIxCeAEAAEYhvAAAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABgFMILAAAwSkDhJSMjQ4mJiXI4HHI4HHK73dqwYcMF9ykuLtbkyZMVExMju92url27av369b7ts2bNks1m81u6d+9eu7MBAAANXpNAiuPj4zV//nx16dJFlmVp5cqVGjFihHbt2qWePXtWq6+oqNDgwYMVGRmpNWvWKC4uTkeOHFHLli396nr27KlNmzZ93VSTgNoCAACNSEApYfjw4X6vn376aWVkZGjbtm01hpdXXnlFp06d0tatWxUSEiJJ6tChQ/UmmjRRdHR0IK0AAIBGqtZzXiorK5WVlaWysjK53e4aa9566y253W5NnjxZUVFR6tWrl+bNm6fKykq/uv379ys2NladOnXS3XffrYKCggu+t9frlcfj8VsAAEDjEHB4ycvLU3h4uOx2u+6//36tXbtWPXr0qLH20KFDWrNmjSorK7V+/XpNnz5dzz33nObOneur6devnzIzM7Vx40ZlZGTo8OHDGjhwoEpLS8/bQ3p6upxOp29xuVyBngYAADCUzbIsK5AdKioqVFBQoJKSEq1Zs0bLli3Tli1bagwwXbt2VXl5uQ4fPqzg4GBJ0vPPP68FCxaosLCwxuMXFxerffv2ev755zVu3Lgaa7xer7xer++1x+ORy+VSSUmJHA5HIKcDAADqicfjkdPpDPjzO+CZsaGhoUpISJAkJSUlaceOHVq4cKGWLFlSrTYmJkYhISG+4CJJV111lYqKilRRUaHQ0NBq+7Rs2VJdu3bVgQMHztuD3W6X3W4PtHUAANAAXPJzXqqqqvyugnxT//79deDAAVVVVfnWffrpp4qJiakxuEjS6dOndfDgQcXExFxqawAAoAEKKLykpaXp3XffVX5+vvLy8pSWlqacnBzdfffdkqTU1FSlpaX56idOnKhTp07p4Ycf1qeffqq3335b8+bN0+TJk301U6dO1ZYtW5Sfn6+tW7fqpz/9qYKDg3XXXXd9T6cIAAAakoBuG504cUKpqakqLCyU0+lUYmKisrOzNXjwYElSQUGBgoK+zkMul0vZ2dmaMmWKEhMTFRcXp4cffli/+c1vfDXHjh3TXXfdpZMnTyoiIkIDBgzQtm3bFBER8T2dIgAAaEgCnrB7JarthB8AAFB/avv5zW8bAQAAoxBeAACAUQgvAADAKIQXAABgFMILAAAwCuEFAAAYhfACAACMQngBAABGIbwAAACjEF4AAIBRCC8AAMAohBcAAGAUwgsAADAK4QUAABiF8AIAAIxCeAEAAEYhvAAAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABgFMILAAAwCuEFAAAYhfACAACMQngBAABGIbwAAACjEF4AAIBRCC8AAMAohBcAAGAUwgsAADBKQOElIyNDiYmJcjgccjgccrvd2rBhwwX3KS4u1uTJkxUTEyO73a6uXbtq/fr1fjWLFi1Shw4dFBYWpn79+umDDz4I/EwAAECj0CSQ4vj4eM2fP19dunSRZVlauXKlRowYoV27dqlnz57V6isqKjR48GBFRkZqzZo1iouL05EjR9SyZUtfzeuvv65HH31UixcvVr9+/fTCCy8oJSVF+/btU2Rk5KWfIQAAaFBslmVZl3KA1q1ba8GCBRo3bly1bYsXL9aCBQv0ySefKCQkpMb9+/Xrp2uvvVa/+93vJElVVVVyuVx68MEH9dhjj11UDx6PR06nUyUlJXI4HLU/GQAAUGdq+/ld6zkvlZWVysrKUllZmdxud401b731ltxutyZPnqyoqCj16tVL8+bNU2VlpaSvrszs3LlTycnJXzcUFKTk5GTl5uae9729Xq88Ho/fAgAAGoeAw0teXp7Cw8Nlt9t1//33a+3aterRo0eNtYcOHdKaNWtUWVmp9evXa/r06Xruuec0d+5cSdJnn32myspKRUVF+e0XFRWloqKi8/aQnp4up9PpW1wuV6CnAQAADBVweOnWrZt2796t7du3a+LEiRozZoz27t1bY21VVZUiIyP1+9//XklJSRo1apSeeOIJLV68+JKaTktLU0lJiW85evToJR0PAACYI6AJu5IUGhqqhIQESVJSUpJ27NihhQsXasmSJdVqY2JiFBISouDgYN+6q666SkVFRaqoqFDbtm0VHBys48eP++13/PhxRUdHn7cHu90uu90eaOsAAKABuOTnvFRVVcnr9da4rX///jpw4ICqqqp86z799FPFxMQoNDRUoaGhSkpK0ubNm/2Ot3nz5vPOowEAAI1bQOElLS1N7777rvLz85WXl6e0tDTl5OTo7rvvliSlpqYqLS3NVz9x4kSdOnVKDz/8sD799FO9/fbbmjdvniZPnuyrefTRR7V06VKtXLlSH3/8sSZOnKiysjL94he/+J5OEQAANCQB3TY6ceKEUlNTVVhYKKfTqcTERGVnZ2vw4MGSpIKCAgUFfZ2HXC6XsrOzNWXKFCUmJiouLk4PP/ywfvOb3/hqRo0apf/+97+aMWOGioqK1KdPH23cuLHaJF4AAADpe3jOy5WA57wAAGCeOn/OCwAAQH0gvAAAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABgFMILAAAwCuEFAAAYhfACAACMQngBAABGIbwAAACjEF4AAIBRCC8AAMAohBcAAGAUwgsAADAK4QUAABiF8AIAAIxCeAEAAEYhvAAAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABglIDCS0ZGhhITE+VwOORwOOR2u7Vhw4bz1mdmZspms/ktYWFhfjVjx46tVjNkyJDanQ0AAGjwmgRSHB8fr/nz56tLly6yLEsrV67UiBEjtGvXLvXs2bPGfRwOh/bt2+d7bbPZqtUMGTJEK1as8L222+2BtAUAABqRgMLL8OHD/V4//fTTysjI0LZt284bXmw2m6Kjoy94XLvd/p013+T1euX1en2vPR7PRe8LAADMVus5L5WVlcrKylJZWZncbvd5606fPq327dvL5XJpxIgR2rNnT7WanJwcRUZGqlu3bpo4caJOnjx5wfdOT0+X0+n0LS6Xq7anAQAADGOzLMsKZIe8vDy53W6Vl5crPDxcq1at0rBhw2qszc3N1f79+5WYmKiSkhI9++yzevfdd7Vnzx7Fx8dLkrKystSsWTN17NhRBw8e1OOPP67w8HDl5uYqODi4xuPWdOXF5XKppKREDocjkNMBAAD1xOPxyOl0Bvz5HXB4qaioUEFBgUpKSrRmzRotW7ZMW7ZsUY8ePb5z3zNnzuiqq67SXXfdpTlz5tRYc+jQIXXu3FmbNm3SzTfffFE91fbkAQBA/ant53fAt41CQ0OVkJCgpKQkpaen6+qrr9bChQsvat+QkBBdc801OnDgwHlrOnXqpLZt216wBgAANF6X/JyXqqoqv1s4F1JZWam8vDzFxMSct+bYsWM6efLkBWsAAEDjFdC3jdLS0jR06FC1a9dOpaWlWrVqlXJycpSdnS1JSk1NVVxcnNLT0yVJTz31lH74wx8qISFBxcXFWrBggY4cOaJ7771X0leTeWfPnq3bb79d0dHROnjwoKZNm6aEhASlpKR8z6cKAAAagoDCy4kTJ5SamqrCwkI5nU4lJiYqOztbgwcPliQVFBQoKOjrizmff/65xo8fr6KiIrVq1UpJSUnaunWrb35McHCwPvroI61cuVLFxcWKjY3VLbfcojlz5vCsFwAAUKOAJ+xeiZiwCwCAeepswi4AAEB9IrwAAACjEF4AAIBRCC8AAMAohBcAAGAUwgsAADAK4QUAABiF8AIAAIxCeAEAAEYhvAAAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUZrUdwNXMsuy9OWZyvpuAwCAK0LTkGDZbLb6boPwciFfnqlUjxnZ9d0GAABXhL1PpahZaP1HB24bAQAAo9R/fLqCNQ0J1t6nUuq7DQAArghNQ4LruwVJhJcLstlsV8TlMQAA8DVuGwEAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABglIDCS0ZGhhITE+VwOORwOOR2u7Vhw4bz1mdmZspms/ktYWFhfjWWZWnGjBmKiYlR06ZNlZycrP3799fubAAAQIMXUHiJj4/X/PnztXPnTn344Ye66aabNGLECO3Zs+e8+zgcDhUWFvqWI0eO+G1/5pln9OKLL2rx4sXavn27mjdvrpSUFJWXl9fujAAAQIPWJJDi4cOH+71++umnlZGRoW3btqlnz5417mOz2RQdHV3jNsuy9MILL+jJJ5/UiBEjJEl/+MMfFBUVpXXr1mn06NGBtAcAABqBWs95qaysVFZWlsrKyuR2u89bd/r0abVv314ul6vaVZrDhw+rqKhIycnJvnVOp1P9+vVTbm7ueY/p9Xrl8Xj8FgAA0DgEHF7y8vIUHh4uu92u+++/X2vXrlWPHj1qrO3WrZteeeUV/fnPf9Yf//hHVVVV6frrr9exY8ckSUVFRZKkqKgov/2ioqJ822qSnp4up9PpW1wuV6CnAQAADBVweOnWrZt2796t7du3a+LEiRozZoz27t1bY63b7VZqaqr69OmjG264QW+++aYiIiK0ZMmSS2o6LS1NJSUlvuXo0aOXdDwAAGCOgOa8SFJoaKgSEhIkSUlJSdqxY4cWLlx4UYEkJCRE11xzjQ4cOCBJvrkwx48fV0xMjK/u+PHj6tOnz3mPY7fbZbfbA20dAAA0AJf8nJeqqip5vd6Lqq2srFReXp4vqHTs2FHR0dHavHmzr8bj8Wj79u0XnEcDAAAar4CuvKSlpWno0KFq166dSktLtWrVKuXk5Cg7O1uSlJqaqri4OKWnp0uSnnrqKf3whz9UQkKCiouLtWDBAh05ckT33nuvpK++ifTII49o7ty56tKlizp27Kjp06crNjZWI0eO/J5PFQAANAQBhZcTJ04oNTVVhYWFcjqdSkxMVHZ2tgYPHixJKigoUFDQ1xdzPv/8c40fP15FRUVq1aqVkpKStHXrVr8JvtOmTVNZWZkmTJig4uJiDRgwQBs3bqz2MDsAAABJslmWZdV3E5fK4/HI6XSqpKREDoejvtsBAAAXobaf3/y2EQAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABgFMILAAAwCuEFAAAYhfACAACMQngBAABGIbwAAACjEF4AAIBRCC8AAMAohBcAAGAUwgsAADAK4QUAABiF8AIAAIxCeAEAAEYhvAAAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQg776lJAAATK0lEQVQvAADAKIQXAABgFMILAAAwCuEFAAAYhfACAACMQngBAABGIbwAAACjBBReMjIylJiYKIfDIYfDIbfbrQ0bNlzUvllZWbLZbBo5cqTf+rFjx8pms/ktQ4YMCaQtAADQiDQJpDg+Pl7z589Xly5dZFmWVq5cqREjRmjXrl3q2bPneffLz8/X1KlTNXDgwBq3DxkyRCtWrPC9ttvtgbQFAAAakYDCy/Dhw/1eP/3008rIyNC2bdvOG14qKyt19913a/bs2frHP/6h4uLiajV2u13R0dGBtAIAABqpWs95qaysVFZWlsrKyuR2u89b99RTTykyMlLjxo07b01OTo4iIyPVrVs3TZw4USdPnrzge3u9Xnk8Hr8FAAA0DgFdeZGkvLw8ud1ulZeXKzw8XGvXrlWPHj1qrH3vvfe0fPly7d69+7zHGzJkiG677TZ17NhRBw8e1OOPP66hQ4cqNzdXwcHBNe6Tnp6u2bNnB9o6AABoAGyWZVmB7FBRUaGCggKVlJRozZo1WrZsmbZs2VItwJSWlioxMVEvv/yyhg4dKumrybnFxcVat27deY9/6NAhde7cWZs2bdLNN99cY43X65XX6/W99ng8crlcKikpkcPhCOR0AABAPfF4PHI6nQF/fgccXr4tOTlZnTt31pIlS/zW7969W9dcc43f1ZOqqipJUlBQkPbt26fOnTvXeMyIiAjNnTtX991330X1UNuTBwAA9ae2n98B3zb6tqqqKr+rIOd0795deXl5fuuefPJJlZaWauHChXK5XDUe79ixYzp58qRiYmIutTUAANAABRRe0tLSNHToULVr106lpaVatWqVcnJylJ2dLUlKTU1VXFyc0tPTFRYWpl69evnt37JlS0nyrT99+rRmz56t22+/XdHR0Tp48KCmTZumhIQEpaSkfB/nBwAAGpiAwsuJEyeUmpqqwsJCOZ1OJSYmKjs7W4MHD5YkFRQUKCjo4r/AFBwcrI8++kgrV65UcXGxYmNjdcstt2jOnDk86wUAANTokue8XAmY8wIAgHlq+/nNbxsBAACjEF4AAIBRCC8AAMAohBcAAGAUwgsAADAK4QUAABiF8AIAAIxCeAEAAEYhvAAAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABgFMILAAAwCuEFAAAYhfACAACMQngBAABGIbwAAACjEF4AAIBRCC8AAMAohBcAAGAUwgsAADAK4QUAABiF8AIAAIxCeAEAAEYhvAAAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMEpA4SUjI0OJiYlyOBxyOBxyu93asGHDRe2blZUlm82mkSNH+q23LEszZsxQTEyMmjZtquTkZO3fvz+QtgAAQCMSUHiJj4/X/PnztXPnTn344Ye66aabNGLECO3Zs+eC++Xn52vq1KkaOHBgtW3PPPOMXnzxRS1evFjbt29X8+bNlZKSovLy8sDOBAAANAo2y7KsSzlA69attWDBAo0bN67G7ZWVlfrRj36kX/7yl/rHP/6h4uJirVu3TtJXV11iY2P1q1/9SlOnTpUklZSUKCoqSpmZmRo9evRF9eDxeOR0OlVSUiKHw3EppwMAAOpIbT+/az3npbKyUllZWSorK5Pb7T5v3VNPPaXIyMgaw83hw4dVVFSk5ORk3zqn06l+/fopNzf3vMf0er3yeDx+CwAAaByaBLpDXl6e3G63ysvLFR4errVr16pHjx411r733ntavny5du/eXeP2oqIiSVJUVJTf+qioKN+2mqSnp2v27NmBtg4AABqAgK+8dOvWTbt379b27ds1ceJEjRkzRnv37q1WV1paqnvuuUdLly5V27Ztv5dmz0lLS1NJSYlvOXr06Pd6fAAAcOUK+MpLaGioEhISJElJSUnasWOHFi5cqCVLlvjVHTx4UPn5+Ro+fLhvXVVV1Vdv2qSJ9u3bp+joaEnS8ePHFRMT46s7fvy4+vTpc94e7Ha77HZ7oK0DAIAGIODw8m1VVVXyer3V1nfv3l15eXl+65588kmVlpZq4cKFcrlcCgkJUXR0tDZv3uwLKx6Px3dVBwAA4NsCCi9paWkaOnSo2rVrp9LSUq1atUo5OTnKzs6WJKWmpiouLk7p6ekKCwtTr169/PZv2bKlJPmtf+SRRzR37lx16dJFHTt21PTp0xUbG1vteTAAAABSgOHlxIkTSk1NVWFhoZxOpxITE5Wdna3BgwdLkgoKChQUFNg0mmnTpqmsrEwTJkxQcXGxBgwYoI0bNyosLCyg4wAAgMbhkp/zciXgOS8AAJinzp/zAgAAUB8ILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABgFMILAAAwCuEFAAAYhfACAACMQngBAABGIbwAAACjEF4AAIBRCC8AAMAohBcAAGAUwgsAADAK4QUAABiF8AIAAIxCeAEAAEYhvAAAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABgFMILAAAwCuEFAAAYJaDwkpGRocTERDkcDjkcDrndbm3YsOG89W+++ab69u2rli1bqnnz5urTp49effVVv5qxY8fKZrP5LUOGDKnd2QAAgAavSSDF8fHxmj9/vrp06SLLsrRy5UqNGDFCu3btUs+ePavVt27dWk888YS6d++u0NBQ/fWvf9UvfvELRUZGKiUlxVc3ZMgQrVixwvfabrdfwikBAICGzGZZlnUpB2jdurUWLFigcePGXVT9D37wA916662aM2eOpK+uvBQXF2vdunUX/Z5er1der9f32uPxyOVyqaSkRA6HI7ATAAAA9cLj8cjpdAb8+V3rOS+VlZXKyspSWVmZ3G73d9ZblqXNmzdr3759+tGPfuS3LScnR5GRkerWrZsmTpyokydPXvBY6enpcjqdvsXlctX2NAAAgGECvvKSl5cnt9ut8vJyhYeHa9WqVRo2bNh560tKShQXFyev16vg4GC9/PLL+uUvf+nbnpWVpWbNmqljx446ePCgHn/8cYWHhys3N1fBwcE1HpMrLwAAmK+2V14CDi8VFRUqKChQSUmJ1qxZo2XLlmnLli3q0aNHjfVVVVU6dOiQTp8+rc2bN2vOnDlat26dBg0aVGP9oUOH1LlzZ23atEk333zzRfVU25MHAAD1p87Cy7clJyerc+fOWrJkyUXV33vvvTp69Kiys7PPWxMREaG5c+fqvvvuu6hjEl4AADBPnc95OaeqqsrvFs6l1h87dkwnT55UTEzMpbYGAAAaoIC+Kp2WlqahQ4eqXbt2Ki0t1apVq5STk+O7ipKamqq4uDilp6dL+mpibd++fdW5c2d5vV6tX79er776qjIyMiRJp0+f1uzZs3X77bcrOjpaBw8e1LRp05SQkOD3VWoAAIBzAgovJ06cUGpqqgoLC+V0OpWYmKjs7GwNHjxYklRQUKCgoK8v5pSVlWnSpEk6duyYmjZtqu7du+uPf/yjRo0aJUkKDg7WRx99pJUrV6q4uFixsbG65ZZbNGfOHJ71AgAAanTJc16uBMx5AQDAPPU25wUAAKAuEV4AAIBRCC8AAMAohBcAAGAUwgsAADAK4QUAABiF8AIAAIxCeAEAAEYhvAAAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGKVJfTfwfbAsS9JXP60NAADMcO5z+9zn+MVqEOGltLRUkuRyueq5EwAAEKjS0lI5nc6LrrdZgcadK1BVVZX+85//qEWLFrLZbN/rsT0ej1wul44ePSqHw/G9HhtfY5zrBuNcdxjrusE4143LNc6WZam0tFSxsbEKCrr4mSwN4spLUFCQ4uPjL+t7OBwO/sGoA4xz3WCc6w5jXTcY57pxOcY5kCsu5zBhFwAAGIXwAgAAjBI8a9asWfXdxJUuODhYgwYNUpMmDeIu2xWLca4bjHPdYazrBuNcN66kcW4QE3YBAEDjwW0jAABgFMILAAAwCuEFAAAYhfACAACMQngBAABGIbxIWrRokTp06KCwsDD169dPH3zwwQXrV69ere7duyssLEy9e/fW+vXr66hTswUyzkuXLtXAgQPVqlUrtWrVSsnJyd/554KvBPr3+ZysrCzZbDaNHDnyMnfYMAQ6zsXFxZo8ebJiYmJkt9vVtWtX/t1xkQId6xdeeEHdunVT06ZN5XK5NGXKFJWXl9dRt+Z59913NXz4cMXGxspms2ndunXfuU9OTo5+8IMfyG63KyEhQZmZmZe/0W+yGrmsrCwrNDTUeuWVV6w9e/ZY48ePt1q2bGkdP368xvr333/fCg4Otp555hlr79691pNPPmmFhIRYeXl5ddy5WQId55/97GfWokWLrF27dlkff/yxNXbsWMvpdFrHjh2r487NEug4n3P48GErLi7OGjhwoDVixIg66tZcgY6z1+u1+vbtaw0bNsx67733rMOHD1s5OTnW7t2767hz8wQ61q+99pplt9ut1157zTp8+LCVnZ1txcTEWFOmTKnjzs2xfv1664knnrDefPNNS5K1du3aC9YfOnTIatasmfXoo49ae/futV566SUrODjY2rhxYx11bFmNPrxcd9111uTJk32vKysrrdjYWCs9Pb3G+jvvvNO69dZb/db169fPuu+++y5rn6YLdJy/7ezZs1aLFi2slStXXq4WG4TajPPZs2et66+/3lq2bJk1ZswYwstFCHScMzIyrE6dOlkVFRV11WKDEehYT5482brpppv81j366KNW//79L2ufDcXFhJdp06ZZPXv29Fs3atQoKyUl5XK25qdR3zaqqKjQzp07lZyc7FsXFBSk5ORk5ebm1rhPbm6uX70kpaSknLcetRvnb/viiy905swZtW7d+nK1abzajvNTTz2lyMhIjRs3ri7aNF5txvmtt96S2+3W5MmTFRUVpV69emnevHmqrKysq7aNVJuxvv7667Vz507fraVDhw5p/fr1GjZsWJ303BhcCZ+D9f+M33r02WefqbKyUlFRUX7ro6Ki9Mknn9S4T1FRUY31RUVFl61P09VmnL/tN7/5jWJjY6v9A4Ov1Wac33vvPS1fvly7d++uixYbhNqM86FDh/S3v/1Nd999t9avX68DBw5o0qRJOnPmjGbOnFkXbRupNmP9s5/9TJ999pkGDBggy7J09uxZ3X///Xr88cfrouVG4Xyfgx6PR19++aWaNm162Xto1FdeYIb58+crKytLa9euVVhYWH2302CUlpbqnnvu0dKlS9W2bdv6bqdBq6qqUmRkpH7/+98rKSlJo0aN0hNPPKHFixfXd2sNTk5OjubNm6eXX35Z//znP/Xmm2/q7bff1pw5c+q7NXyPGvWVl7Zt2yo4OFjHjx/3W3/8+HFFR0fXuE90dHRA9ajdOJ/z7LPPav78+dq0aZMSExMvZ5vGC3ScDx48qPz8fA0fPty3rqqqSpLUpEkT7du3T507d768TRuoNn+fY2JiFBISouDgYN+6q666SkVFRaqoqFBoaOhl7dlUtRnr6dOn65577tG9994rSerdu7fKyso0YcIEPfHEEwoK4r/ZL9X5PgcdDkedXHWRGvmVl9DQUCUlJWnz5s2+dVVVVdq8ebPcbneN+7jdbr96Sfq///u/89ajduMsSc8884zmzJmjjRs3qm/fvnXRqtECHefu3bsrLy9Pu3fv9i0/+clPdOONN2r37t1yuVx12b4xavP3uX///jpw4IAvHErSp59+qpiYGILLBdRmrL/44otqAeVcaLT4HeLvxRXxOVhnU4OvUFlZWZbdbrcyMzOtvXv3WhMmTLBatmxpFRUVWZZlWffcc4/12GOP+erff/99q0mTJtazzz5rffzxx9bMmTP5qvRFCHSc58+fb4WGhlpr1qyxCgsLfUtpaWl9nYIRAh3nb+PbRhcn0HEuKCiwWrRoYT3wwAPWvn37rL/+9a9WZGSkNXfu3Po6BWMEOtYzZ860WrRoYf3pT3+yDh06ZL3zzjtW586drTvvvLO+TuGKV1paau3atcvatWuXJcl6/vnnrV27dllHjhyxLMuyHnvsMeuee+7x1Z/7qvSvf/1r6+OPP7YWLVrEV6Xrw0svvWS1a9fOCg0Nta677jpr27Ztvm033HCDNWbMGL/6N954w+ratasVGhpq9ezZ03r77bfruGMzBTLO7du3tyRVW2bOnFn3jRsm0L/P30R4uXiBjvPWrVutfv36WXa73erUqZP19NNPW2fPnq3jrs0UyFifOXPGmjVrltW5c2crLCzMcrlc1qRJk6zPP/+8Hjo3w9///vca/317blzHjBlj3XDDDdX26dOnjxUaGmp16tTJWrFiRZ32bLMsrqMBAABzNOo5LwAAwDyEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABgFMILAAAwyv8HBMDacrRyANwAAAAASUVORK5CYII=", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "elapsed time: 0.000223204 seconds\n" ] }, { "data": { "text/plain": [ "PyObject Text(0.5,1,u'log |f| vs iteration')" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# J3. Apply Broyden Inverted Method on 10 Points: Increase the iteration count until it converges\n", "N_Pts = 10\n", "N_Iter = 2\n", "Plot_Solver(Broyden_Inverted_Method, N_Pts, N_Iter)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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tW3FxsSTJz89PO3bsUPPmzS+537y8PIWGhio3N1chISGlnS4AAPAhbx+/PXpap1u3btq2bZvbtuHDhys6OlqTJ092ixBJio6OLjH+0UcfVX5+vl544QVFRkZ6snsAAFAFeBQnwcHBiomJcdtWs2ZNhYeHu7YPGTJEjRs3VnJysgIDA0uMr127tiSV2A4AACB5cULspezdu1d+frzxLAAA8I5H55z4CuecAABQ8Xj7+M0hDgAAYBXiBAAAWIU4AQAAViFOAACAVYgTAABgFeIEAABYhTgBAABWIU4AAIBViBMAAGAV4gQAAFiFOAEAAFYhTgAAgFWIEwAAYBXiBAAAWIU4AQAAViFOAACAVYgTAABgFeIEAABYhTgBAABWIU4AAIBViBMAAGAV4gQAAFiFOAEAAFYhTgAAgFWIEwAAYBXiBAAAWIU4AQAAViFOAACAVYgTAABgFeIEAABYhTgBAABWIU4AAIBViBMAAGAV4gQAAFiFOAEAAFYhTgAAgFWIEwAAYBXiBAAAWIU4AQAAViFOAACAVYgTAABgFeIEAABYhTgBAABWIU4AAIBViBMAAGAV4gQAAFiFOAEAAFYhTgAAgFWIEwAAYBXiBAAAWIU4AQAAViFOAACAVYgTAABgFeIEAABYhTgBAABWIU4AAIBViBMAAGAV4gQAAFiFOAEAAFYhTgAAgFWIEwAAYBXiBAAAWIU4AQAAViFOAACAVYgTAABgFeIEAABYhTgBAABWIU4AAIBV/lScpKSkyOFwaMKECRcc884776h9+/aqXbu2atasqXbt2mnx4sV/ZrcAAKASq+btFbOysjR//ny1adPmouPq1KmjadOmKTo6Wv7+/vrwww81fPhwRUREKD4+3tvdAwCASsqrIyfHjh3ToEGDlJaWprCwsIuOjY2NVe/evXX11VerefPmGj9+vNq0aaN169Z5NWEAAFC5eRUnCQkJ6tmzp+Li4jy6njFGq1ev1o4dO3TrrbdecFxBQYHy8vLcLgAAoGrw+GmdzMxMbd68WVlZWaW+Tm5urho3bqyCggI5nU7NnTtXf/nLXy44Pjk5WUlJSZ5ODQAAVAIexUlOTo7Gjx+vTz/9VIGBgaW+XnBwsLZu3apjx45p9erVmjRpkqKiohQbG3ve8VOnTtWkSZNcX+fl5SkyMtKTqQIAgArKYYwxpR28fPly9e7dW06n07WtqKhIDodDfn5+riMjl3LfffcpJydHK1euLNV+8/LyFBoaqtzcXIWEhJR2ugAAwIe8ffz26MhJt27dtG3bNrdtw4cPV3R0tCZPnlyqMJGk4uJiFRQUeLJrAABQRXgUJ8HBwYqJiXHbVrNmTYWHh7u2DxkyRI0bN1ZycrKk384fad++vZo3b66CggKtWLFCixcv1rx58y7TXQAAAJWJ1+9zciF79+6Vn9/vLwI6fvy4Ro8erR9//FFBQUGKjo7WG2+8oQEDBlzuXQMAgErAo3NOfIVzTgAAqHi8ffzms3UAAIBViBMAAGAV4gQAAFiFOAEAAFYhTgAAgFWIEwAAYBXiBAAAWIU4AQAAViFOAACAVYgTAABgFeIEAABYhTgBAABWIU4AAIBViBMAAGAV4gQAAFiFOAEAAFYhTgAAgFWIEwAAYBXiBAAAWIU4AQAAViFOAACAVYgTAABgFeIEAABYhTgBAABWIU4AAIBViBMAAGAV4gQAAFiFOAEAAFYhTgAAgFWIEwAAYBXiBAAAWIU4AQAAViFOAACAVYgTAABgFeIEAABYhTgBAABWIU4AAIBVqvl6Ar5ijNHJ00W+ngYAAFYIqu6Uw+Hw9TQkVeE4OXm6SNdMX+nraQAAYIXtj8erhr8dWcDTOgAAwCp2JJIPBFV3avvj8b6eBgAAVgiq7vT1FFyqbJw4HA5rDl8BAIDf8bQOAACwCnECAACsQpwAAACrECcAAMAqxAkAALAKcQIAAKxCnAAAAKsQJwAAwCrECQAAsApxAgAArEKcAAAAqxAnAADAKsQJAACwCnECAACsQpwAAACrECcAAMAqxAkAALAKcQIAAKxCnAAAAKsQJwAAwCrECQAAsApxAgAArEKcAAAAqxAnAADAKsQJAACwCnECAACsQpwAAACr/Kk4SUlJkcPh0IQJEy44Ji0tTZ07d1ZYWJjCwsIUFxenr7766s/sFgAAVGJex0lWVpbmz5+vNm3aXHTc2rVrdc8992jNmjXasGGDIiMj1b17d+3bt8/bXQMAgErMqzg5duyYBg0apLS0NIWFhV10bEZGhkaPHq127dopOjpaCxYsUHFxsVavXu3VhAEAQOXmVZwkJCSoZ8+eiouL8/i6J06c0OnTp1WnTp0LjikoKFBeXp7bBQAAVA3VPL1CZmamNm/erKysLK92OHnyZDVq1OiiYZOcnKykpCSvbh8AAFRsHh05ycnJ0fjx45WRkaHAwECPd5aSkqLMzEy9++67F73+1KlTlZub67rk5OR4vC8AAFAxOYwxprSDly9frt69e8vpdLq2FRUVyeFwyM/PTwUFBW7f+6PU1FQ9+eSTWrVqldq3b+/RJPPy8hQaGqrc3FyFhIR4dF0AAOAb3j5+e/S0Trdu3bRt2za3bcOHD1d0dLQmT558wTCZOXOmnnrqKa1cudLjMAEAAFWLR3ESHBysmJgYt201a9ZUeHi4a/uQIUPUuHFjJScnS5KeeeYZTZ8+XW+++aaaNWumAwcOSJJq1aqlWrVqXY77AAAAKpHL/g6xe/fu1U8//eT6et68eSosLNTdd9+thg0bui6pqamXe9cAAKAS8OicE1/hnBMAACoebx+/+WwdAABgFeIEAABYhTgBAABWIU4AAIBViBMAAGAV4gQAAFiFOAEAAFYhTgAAgFWIEwAAYBXiBAAAWIU4AQAAViFOAACAVYgTAABgFeIEAABYhTgBAABWIU4AAIBViBMAAGAV4gQAAFiFOAEAAFYhTgAAgFWIEwAAYBXiBAAAWIU4AQAAViFOAACAVYgTAABgFeIEAABYhTgBAABWIU4AAIBViBMAAGAV4gQAAFiFOAEAAFYhTgAAgFWIEwAAYBXiBAAAWIU4AQAAViFOAACAVYgTAABgFeIEAABYhTgBAABWIU4AAIBViBMAAGAV4gQAAFiFOAEAAFYhTgAAgFWIEwAAYBXiBAAAWIU4AQAAViFOAACAVYgTAABgFeIEAABYhTgBAABWIU4AAIBViBMAAGAV4gQAAFiFOAEAAFYhTgAAgFWIEwAAYBXiBAAAWIU4AQAAViFOAACAVYgTAABgFeIEAABYhTgBAABWIU4AAIBViBMAAGAV4gQAAFiFOAEAAFYhTgAAgFX+VJykpKTI4XBowoQJFxzzzTffqG/fvmrWrJkcDodmzZr1Z3YJAAAqOa/jJCsrS/Pnz1ebNm0uOu7EiROKiopSSkqKGjRo4O3uAABAFeFVnBw7dkyDBg1SWlqawsLCLjq2Q4cOevbZZzVw4EAFBAR4NUkAAFB1eBUnCQkJ6tmzp+Li4i73fCRJBQUFysvLc7sAAICqoZqnV8jMzNTmzZuVlZVVFvORJCUnJyspKanMbh8AANjLoyMnOTk5Gj9+vDIyMhQYGFhWc9LUqVOVm5vruuTk5JTZvgAAgF08OnKyadMm/fzzz7r++utd24qKivTFF1/opZdeUkFBgZxO55+eVEBAAOenAABQRXkUJ926ddO2bdvctg0fPlzR0dGaPHnyZQkTAABQtXkUJ8HBwYqJiXHbVrNmTYWHh7u2DxkyRI0bN1ZycrIkqbCwUNu3b3f9fd++fdq6datq1aqlFi1aXI77AAAAKhGPT4i9lL1798rP7/dTWfbv36/rrrvO9XVqaqpSU1PVpUsXrV279nLvHgAAVHAOY4zx9SQuJS8vT6GhocrNzVVISIivpwMAAErB28dvPlsHAABYhTgBAABWIU4AAIBViBMAAGAV4gQAAFiFOAEAAFYhTgAAgFWIEwAAYBXiBAAAWIU4AQAAViFOAACAVYgTAABgFeIEAABYhTgBAABWIU4AAIBViBMAAGAV4gQAAFiFOAEAAFYhTgAAgFWIEwAAYBXiBAAAWIU4AQAAViFOAACAVYgTAABgFeIEAABYhTgBAABWIU4AAIBViBMAAGAV4gQAAFiFOAEAAFYhTgAAgFWIEwAAYBXiBAAAWIU4AQAAViFOAACAVYgTAABgFeIEAABYhTgBAABWIU4AAIBViBMAAGAV4gQAAFiFOAEAAFYhTgAAgFWIEwAAYBXiBAAAWIU4AQAAViFOAACAVYgTAABgFeIEAABYhTgBAABWIU4AAIBViBMAAGAV4gQAAFiFOAEAAFYhTgAAgFWIEwAAYBXiBAAAWIU4AQAAViFOAACAVYgTAABgFeIEAABYhTgBAABWIU4AAIBViBMAAGCVar6eQGkYYyRJeXl5Pp4JAAAorbOP22cfx0urQsRJfn6+JCkyMtLHMwEAAJ7Kz89XaGhoqcc7jKc54wPFxcXav3+/goOD5XA4Ltvt5uXlKTIyUjk5OQoJCblstwt3rHP5Ya3LB+tcPljn8lGW62yMUX5+vho1aiQ/v9KfSVIhjpz4+fmpSZMmZXb7ISEh/OKXA9a5/LDW5YN1Lh+sc/koq3X25IjJWZwQCwAArEKcAAAAqzgTExMTfT0JX3I6nYqNjVW1ahXiGa4Ki3UuP6x1+WCdywfrXD5sW+cKcUIsAACoOnhaBwAAWIU4AQAAViFOAACAVYgTAABgFeIEAABYpdLHyZw5c9SsWTMFBgbqpptu0ldffXXR8cuWLVN0dLQCAwPVunVrrVixopxmWrF5ss5paWnq3LmzwsLCFBYWpri4uEv+XPA7T3+nz8rMzJTD4VCvXr3KeIaVg6frfPToUSUkJKhhw4YKCAhQy5Yt+f9HKXi6zrNmzVKrVq0UFBSkyMhITZw4UadOnSqn2VZMX3zxhe644w41atRIDodDy5cvv+R11q5dq+uvv14BAQFq0aKF0tPTy36if2QqsczMTOPv729effVV880335iRI0ea2rVrm4MHD553/Pr1643T6TQzZ84027dvN48++qipXr262bZtWznPvGLxdJ3vvfdeM2fOHLNlyxbz7bffmmHDhpnQ0FDz448/lvPMKx5P1/qs3bt3m8aNG5vOnTubu+66q5xmW3F5us4FBQWmffv2pkePHmbdunVm9+7dZu3atWbr1q3lPPOKxdN1zsjIMAEBASYjI8Ps3r3brFy50jRs2NBMnDixnGdesaxYscJMmzbNvPPOO0aSeffddy86fteuXaZGjRpm0qRJZvv27Wb27NnG6XSajz/+uJxmbEyljpMbb7zRJCQkuL4uKioyjRo1MsnJyecd379/f9OzZ0+3bTfddJO5//77y3SeFZ2n63yuM2fOmODgYPPaa6+V1RQrDW/W+syZM+bmm282CxYsMEOHDiVOSsHTdZ43b56JiooyhYWF5TXFSsHTdU5ISDC33Xab27ZJkyaZTp06lek8K5PSxMnDDz9srr32WrdtAwYMMPHx8WU5NTeV9mmdwsJCbdq0SXFxca5tfn5+iouL04YNG857nQ0bNriNl6T4+PgLjod363yuEydO6PTp06pTp05ZTbNS8HatH3/8cUVERGjEiBHlMc0Kz5t1fv/999WxY0clJCSofv36iomJ0dNPP62ioqLymnaF480633zzzdq0aZPrqZ9du3ZpxYoV6tGjR7nMuaqw4bHQjvepLQOHDh1SUVGR6tev77a9fv36+u677857nQMHDpx3/IEDB8psnhWdN+t8rsmTJ6tRo0Yl/mOAO2/Wet26dVq4cKG2bt1aHlOsFLxZ5127dumzzz7ToEGDtGLFCu3cuVOjR4/W6dOnNWPGjPKYdoXjzTrfe++9OnTokG655RYZY3TmzBn94x//0COPPFIeU64yLvRYmJeXp5MnTyooKKjM51Bpj5ygYkhJSVFmZqbeffddBQYG+no6lUp+fr4GDx6stLQ01a1b19fTqdSKi4sVERGhV155RTfccIMGDBigadOm6eWXX/b11CqVtWvX6umnn9bcuXO1efNmvfPOO/roo4/0xBNP+HpquMwq7ZGTunXryul06uDBg27bDx48qAYNGpz3Og0aNPBLwKIcAAADEklEQVRoPLxb57NSU1OVkpKiVatWqU2bNmU5zUrB07X+4YcflJ2drTvuuMO1rbi4WJJUrVo17dixQ82bNy/bSVdA3vxON2zYUNWrV5fT6XRtu/rqq3XgwAEVFhbK39+/TOdcEXmzzo899pgGDx6s++67T5LUunVrHT9+XKNGjdK0adPk58e/ty+HCz0WhoSElMtRE6kSHznx9/fXDTfcoNWrV7u2FRcXa/Xq1erYseN5r9OxY0e38ZL06aefXnA8vFtnSZo5c6aeeOIJffzxx2rfvn15TLXC83Sto6OjtW3bNm3dutV1ufPOO9W1a1dt3bpVkZGR5Tn9CsOb3+lOnTpp586drviTpP/9739q2LAhYXIB3qzziRMnSgTI2SA0fIbtZWPFY2G5nXrrA5mZmSYgIMCkp6eb7du3m1GjRpnatWubAwcOGGOMGTx4sJkyZYpr/Pr16021atVMamqq+fbbb82MGTN4KXEpeLrOKSkpxt/f37z99tvmp59+cl3y8/N9dRcqDE/X+ly8Wqd0PF3nvXv3muDgYDNmzBizY8cO8+GHH5qIiAjz5JNP+uouVAiervOMGTNMcHCweeutt8yuXbvMJ598Ypo3b2769+/vq7tQIeTn55stW7aYLVu2GEnm+eefN1u2bDF79uwxxhgzZcoUM3jwYNf4sy8lfuihh8y3335r5syZw0uJL7fZs2ebK664wvj7+5sbb7zRbNy40fW9Ll26mKFDh7qNX7p0qWnZsqXx9/c31157rfnoo4/KecYVkyfr3LRpUyOpxGXGjBnlP/EKyNPf6T8iTkrP03X+8ssvzU033WQCAgJMVFSUeeqpp8yZM2fKedYVjyfrfPr0aZOYmGiaN29uAgMDTWRkpBk9erT59ddffTDzimPNmjXn/X/u2bUdOnSo6dKlS4nrtGvXzvj7+5uoqCizaNGicp2zwxiOhQEAAHtU2nNOAABAxUScAAAAqxAnAADAKsQJAACwCnECAACsQpwAAACrECcAAMAqxAkAALAKcQIAAKxCnAAAAKsQJwAAwCr/DwukpPzR0eVDAAAAAElFTkSuQmCC", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "elapsed time: 0.000311405 seconds\n" ] }, { "data": { "text/plain": [ "PyObject Text(0.5,1,u'log |f| vs iteration')" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# J3. Apply Broyden Inverted Method on 50 Points: Increase the iteration count until it converges\n", "N_Pts = 50\n", "N_Iter = 2\n", "Plot_Solver(Broyden_Inverted_Method, N_Pts, N_Iter)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "elapsed time: 0.000232904 seconds\n" ] }, { "data": { "text/plain": [ "PyObject Text(0.5,1,u'log |f| vs iteration')" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#J3. Apply Broyden Inverted Method on 100 points: Increase the iteration count until it converges\n", "\n", "N_Pts = 100\n", "N_Iter = 2\n", "Plot_Solver(Broyden_Inverted_Method, N_Pts, N_Iter)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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vWLN69Wp5vV79/Oc/91vfsWNHRUdHa/Pmzb51Ho9H27dvv+h5NAAAoHEJ6Fel09LSNHToULVr106lpaVatWqVcnJylJ2dLUlKTU1VXFyc0tPT/fZbvny5Ro4cqTZt2vitt9lseuSRRzR37lx16dJFHTt21PTp0xUbG6uRI0de4qkBAICGKKDwcuLECaWmpqqwsFBOp1OJiYnKzs7W4MGDJUkFBQUKCvK/mLNv3z699957euedd2o85rRp01RWVqYJEyaouLhYAwYM0MaNGxUWFlbLUwIAAA3ZJT/n5UrAc14AADBPnT/nBQAAoD4QXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABgFMILAAAwCuEFAAAYhfACAACMQngBAABGIbwAAACjEF4AAIBRCC8AAMAohBcAAGAUwgsAADAK4QUAABiF8AIAAIxCeAEAAEYhvAAAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABgFMILAAAwSkDhJSMjQ4mJiXI4HHI4HHK73dqwYcMF9ykuLtbkyZMVExMju92url27av369b7ts2bNks1m81u6d+9eu7MBAAANXpNAiuPj4zV//nx16dJFlmVp5cqVGjFihHbt2qWePXtWq6+oqNDgwYMVGRmpNWvWKC4uTkeOHFHLli396nr27KlNmzZ93VSTgNoCAACNSEApYfjw4X6vn376aWVkZGjbtm01hpdXXnlFp06d0tatWxUSEiJJ6tChQ/UmmjRRdHR0IK0AAIBGqtZzXiorK5WVlaWysjK53e4aa9566y253W5NnjxZUVFR6tWrl+bNm6fKykq/uv379ys2NladOnXS3XffrYKCggu+t9frlcfj8VsAAEDjEHB4ycvLU3h4uOx2u+6//36tXbtWPXr0qLH20KFDWrNmjSorK7V+/XpNnz5dzz33nObOneur6devnzIzM7Vx40ZlZGTo8OHDGjhwoEpLS8/bQ3p6upxOp29xuVyBngYAADCUzbIsK5AdKioqVFBQoJKSEq1Zs0bLli3Tli1bagwwXbt2VXl5uQ4fPqzg4GBJ0vPPP68FCxaosLCwxuMXFxerffv2ev755zVu3Lgaa7xer7xer++1x+ORy+VSSUmJHA5HIKcDAADqicfjkdPpDPjzO+CZsaGhoUpISJAkJSUlaceOHVq4cKGWLFlSrTYmJkYhISG+4CJJV111lYqKilRRUaHQ0NBq+7Rs2VJdu3bVgQMHztuD3W6X3W4PtHUAANAAXPJzXqqqqvyugnxT//79deDAAVVVVfnWffrpp4qJiakxuEjS6dOndfDgQcXExFxqawAAoAEKKLykpaXp3XffVX5+vvLy8pSWlqacnBzdfffdkqTU1FSlpaX56idOnKhTp07p4Ycf1qeffqq3335b8+bN0+TJk301U6dO1ZYtW5Sfn6+tW7fqpz/9qYKDg3XXXXd9T6cIAAAakoBuG504cUKpqakqLCyU0+lUYmKisrOzNXjwYElSQUGBgoK+zkMul0vZ2dmaMmWKEhMTFRcXp4cffli/+c1vfDXHjh3TXXfdpZMnTyoiIkIDBgzQtm3bFBER8T2dIgAAaEgCnrB7JarthB8AAFB/avv5zW8bAQAAoxBeAACAUQgvAADAKIQXAABgFMILAAAwCuEFAAAYhfACAACMQngBAABGIbwAAACjEF4AAIBRCC8AAMAohBcAAGAUwgsAADAK4QUAABiF8AIAAIxCeAEAAEYhvAAAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABgFMILAAAwCuEFAAAYhfACAACMQngBAABGIbwAAACjEF4AAIBRCC8AAMAohBcAAGAUwgsAADBKQOElIyNDiYmJcjgccjgccrvd2rBhwwX3KS4u1uTJkxUTEyO73a6uXbtq/fr1fjWLFi1Shw4dFBYWpn79+umDDz4I/EwAAECj0CSQ4vj4eM2fP19dunSRZVlauXKlRowYoV27dqlnz57V6isqKjR48GBFRkZqzZo1iouL05EjR9SyZUtfzeuvv65HH31UixcvVr9+/fTCCy8oJSVF+/btU2Rk5KWfIQAAaFBslmVZl3KA1q1ba8GCBRo3bly1bYsXL9aCBQv0ySefKCQkpMb9+/Xrp2uvvVa/+93vJElVVVVyuVx68MEH9dhjj11UDx6PR06nUyUlJXI4HLU/GQAAUGdq+/ld6zkvlZWVysrKUllZmdxud401b731ltxutyZPnqyoqCj16tVL8+bNU2VlpaSvrszs3LlTycnJXzcUFKTk5GTl5uae9729Xq88Ho/fAgAAGoeAw0teXp7Cw8Nlt9t1//33a+3aterRo0eNtYcOHdKaNWtUWVmp9evXa/r06Xruuec0d+5cSdJnn32myspKRUVF+e0XFRWloqKi8/aQnp4up9PpW1wuV6CnAQAADBVweOnWrZt2796t7du3a+LEiRozZoz27t1bY21VVZUiIyP1+9//XklJSRo1apSeeOIJLV68+JKaTktLU0lJiW85evToJR0PAACYI6AJu5IUGhqqhIQESVJSUpJ27NihhQsXasmSJdVqY2JiFBISouDgYN+6q666SkVFRaqoqFDbtm0VHBys48eP++13/PhxRUdHn7cHu90uu90eaOsAAKABuOTnvFRVVcnr9da4rX///jpw4ICqqqp86z799FPFxMQoNDRUoaGhSkpK0ubNm/2Ot3nz5vPOowEAAI1bQOElLS1N7777rvLz85WXl6e0tDTl5OTo7rvvliSlpqYqLS3NVz9x4kSdOnVKDz/8sD799FO9/fbbmjdvniZPnuyrefTRR7V06VKtXLlSH3/8sSZOnKiysjL94he/+J5OEQAANCQB3TY6ceKEUlNTVVhYKKfTqcTERGVnZ2vw4MGSpIKCAgUFfZ2HXC6XsrOzNWXKFCUmJiouLk4PP/ywfvOb3/hqRo0apf/+97+aMWOGioqK1KdPH23cuLHaJF4AAADpe3jOy5WA57wAAGCeOn/OCwAAQH0gvAAAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABgFMILAAAwCuEFAAAYhfACAACMQngBAABGIbwAAACjEF4AAIBRCC8AAMAohBcAAGAUwgsAADAK4QUAABiF8AIAAIxCeAEAAEYhvAAAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABglIDCS0ZGhhITE+VwOORwOOR2u7Vhw4bz1mdmZspms/ktYWFhfjVjx46tVjNkyJDanQ0AAGjwmgRSHB8fr/nz56tLly6yLEsrV67UiBEjtGvXLvXs2bPGfRwOh/bt2+d7bbPZqtUMGTJEK1as8L222+2BtAUAABqRgMLL8OHD/V4//fTTysjI0LZt284bXmw2m6Kjoy94XLvd/p013+T1euX1en2vPR7PRe8LAADMVus5L5WVlcrKylJZWZncbvd5606fPq327dvL5XJpxIgR2rNnT7WanJwcRUZGqlu3bpo4caJOnjx5wfdOT0+X0+n0LS6Xq7anAQAADGOzLMsKZIe8vDy53W6Vl5crPDxcq1at0rBhw2qszc3N1f79+5WYmKiSkhI9++yzevfdd7Vnzx7Fx8dLkrKystSsWTN17NhRBw8e1OOPP67w8HDl5uYqODi4xuPWdOXF5XKppKREDocjkNMBAAD1xOPxyOl0Bvz5HXB4qaioUEFBgUpKSrRmzRotW7ZMW7ZsUY8ePb5z3zNnzuiqq67SXXfdpTlz5tRYc+jQIXXu3FmbNm3SzTfffFE91fbkAQBA/ant53fAt41CQ0OVkJCgpKQkpaen6+qrr9bChQsvat+QkBBdc801OnDgwHlrOnXqpLZt216wBgAANF6X/JyXqqoqv1s4F1JZWam8vDzFxMSct+bYsWM6efLkBWsAAEDjFdC3jdLS0jR06FC1a9dOpaWlWrVqlXJycpSdnS1JSk1NVVxcnNLT0yVJTz31lH74wx8qISFBxcXFWrBggY4cOaJ7771X0leTeWfPnq3bb79d0dHROnjwoKZNm6aEhASlpKR8z6cKAAAagoDCy4kTJ5SamqrCwkI5nU4lJiYqOztbgwcPliQVFBQoKOjrizmff/65xo8fr6KiIrVq1UpJSUnaunWrb35McHCwPvroI61cuVLFxcWKjY3VLbfcojlz5vCsFwAAUKOAJ+xeiZiwCwCAeepswi4AAEB9IrwAAACjEF4AAIBRCC8AAMAohBcAAGAUwgsAADAK4QUAABiF8AIAAIxCeAEAAEYhvAAAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUZrUdwNXMsuy9OWZyvpuAwCAK0LTkGDZbLb6boPwciFfnqlUjxnZ9d0GAABXhL1PpahZaP1HB24bAQAAo9R/fLqCNQ0J1t6nUuq7DQAArghNQ4LruwVJhJcLstlsV8TlMQAA8DVuGwEAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABglIDCS0ZGhhITE+VwOORwOOR2u7Vhw4bz1mdmZspms/ktYWFhfjWWZWnGjBmKiYlR06ZNlZycrP3799fubAAAQIMXUHiJj4/X/PnztXPnTn344Ye66aabNGLECO3Zs+e8+zgcDhUWFvqWI0eO+G1/5pln9OKLL2rx4sXavn27mjdvrpSUFJWXl9fujAAAQIPWJJDi4cOH+71++umnlZGRoW3btqlnz5417mOz2RQdHV3jNsuy9MILL+jJJ5/UiBEjJEl/+MMfFBUVpXXr1mn06NGBtAcAABqBWs95qaysVFZWlsrKyuR2u89bd/r0abVv314ul6vaVZrDhw+rqKhIycnJvnVOp1P9+vVTbm7ueY/p9Xrl8Xj8FgAA0DgEHF7y8vIUHh4uu92u+++/X2vXrlWPHj1qrO3WrZteeeUV/fnPf9Yf//hHVVVV6frrr9exY8ckSUVFRZKkqKgov/2ioqJ822qSnp4up9PpW1wuV6CnAQAADBVweOnWrZt2796t7du3a+LEiRozZoz27t1bY63b7VZqaqr69OmjG264QW+++aYiIiK0ZMmSS2o6LS1NJSUlvuXo0aOXdDwAAGCOgOa8SFJoaKgSEhIkSUlJSdqxY4cWLlx4UYEkJCRE11xzjQ4cOCBJvrkwx48fV0xMjK/u+PHj6tOnz3mPY7fbZbfbA20dAAA0AJf8nJeqqip5vd6Lqq2srFReXp4vqHTs2FHR0dHavHmzr8bj8Wj79u0XnEcDAAAar4CuvKSlpWno0KFq166dSktLtWrVKuXk5Cg7O1uSlJqaqri4OKWnp0uSnnrqKf3whz9UQkKCiouLtWDBAh05ckT33nuvpK++ifTII49o7ty56tKlizp27Kjp06crNjZWI0eO/J5PFQAANAQBhZcTJ04oNTVVhYWFcjqdSkxMVHZ2tgYPHixJKigoUFDQ1xdzPv/8c40fP15FRUVq1aqVkpKStHXrVr8JvtOmTVNZWZkmTJig4uJiDRgwQBs3bqz2MDsAAABJslmWZdV3E5fK4/HI6XSqpKREDoejvtsBAAAXobaf3/y2EQAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABgFMILAAAwCuEFAAAYhfACAACMQngBAABGIbwAAACjEF4AAIBRCC8AAMAohBcAAGAUwgsAADAK4QUAABiF8AIAAIxCeAEAAEYhvAAAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQg776lJAAATK0lEQVQvAADAKIQXAABgFMILAAAwCuEFAAAYhfACAACMQngBAABGIbwAAACjBBReMjIylJiYKIfDIYfDIbfbrQ0bNlzUvllZWbLZbBo5cqTf+rFjx8pms/ktQ4YMCaQtAADQiDQJpDg+Pl7z589Xly5dZFmWVq5cqREjRmjXrl3q2bPneffLz8/X1KlTNXDgwBq3DxkyRCtWrPC9ttvtgbQFAAAakYDCy/Dhw/1eP/3008rIyNC2bdvOG14qKyt19913a/bs2frHP/6h4uLiajV2u13R0dGBtAIAABqpWs95qaysVFZWlsrKyuR2u89b99RTTykyMlLjxo07b01OTo4iIyPVrVs3TZw4USdPnrzge3u9Xnk8Hr8FAAA0DgFdeZGkvLw8ud1ulZeXKzw8XGvXrlWPHj1qrH3vvfe0fPly7d69+7zHGzJkiG677TZ17NhRBw8e1OOPP66hQ4cqNzdXwcHBNe6Tnp6u2bNnB9o6AABoAGyWZVmB7FBRUaGCggKVlJRozZo1WrZsmbZs2VItwJSWlioxMVEvv/yyhg4dKumrybnFxcVat27deY9/6NAhde7cWZs2bdLNN99cY43X65XX6/W99ng8crlcKikpkcPhCOR0AABAPfF4PHI6nQF/fgccXr4tOTlZnTt31pIlS/zW7969W9dcc43f1ZOqqipJUlBQkPbt26fOnTvXeMyIiAjNnTtX991330X1UNuTBwAA9ae2n98B3zb6tqqqKr+rIOd0795deXl5fuuefPJJlZaWauHChXK5XDUe79ixYzp58qRiYmIutTUAANAABRRe0tLSNHToULVr106lpaVatWqVcnJylJ2dLUlKTU1VXFyc0tPTFRYWpl69evnt37JlS0nyrT99+rRmz56t22+/XdHR0Tp48KCmTZumhIQEpaSkfB/nBwAAGpiAwsuJEyeUmpqqwsJCOZ1OJSYmKjs7W4MHD5YkFRQUKCjo4r/AFBwcrI8++kgrV65UcXGxYmNjdcstt2jOnDk86wUAANTokue8XAmY8wIAgHlq+/nNbxsBAACjEF4AAIBRCC8AAMAohBcAAGAUwgsAADAK4QUAABiF8AIAAIxCeAEAAEYhvAAAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABgFMILAAAwCuEFAAAYhfACAACMQngBAABGIbwAAACjEF4AAIBRCC8AAMAohBcAAGAUwgsAADAK4QUAABiF8AIAAIxCeAEAAEYhvAAAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMEpA4SUjI0OJiYlyOBxyOBxyu93asGHDRe2blZUlm82mkSNH+q23LEszZsxQTEyMmjZtquTkZO3fvz+QtgAAQCMSUHiJj4/X/PnztXPnTn344Ye66aabNGLECO3Zs+eC++Xn52vq1KkaOHBgtW3PPPOMXnzxRS1evFjbt29X8+bNlZKSovLy8sDOBAAANAo2y7KsSzlA69attWDBAo0bN67G7ZWVlfrRj36kX/7yl/rHP/6h4uJirVu3TtJXV11iY2P1q1/9SlOnTpUklZSUKCoqSpmZmRo9evRF9eDxeOR0OlVSUiKHw3EppwMAAOpIbT+/az3npbKyUllZWSorK5Pb7T5v3VNPPaXIyMgaw83hw4dVVFSk5ORk3zqn06l+/fopNzf3vMf0er3yeDx+CwAAaByaBLpDXl6e3G63ysvLFR4errVr16pHjx411r733ntavny5du/eXeP2oqIiSVJUVJTf+qioKN+2mqSnp2v27NmBtg4AABqAgK+8dOvWTbt379b27ds1ceJEjRkzRnv37q1WV1paqnvuuUdLly5V27Ztv5dmz0lLS1NJSYlvOXr06Pd6fAAAcOUK+MpLaGioEhISJElJSUnasWOHFi5cqCVLlvjVHTx4UPn5+Ro+fLhvXVVV1Vdv2qSJ9u3bp+joaEnS8ePHFRMT46s7fvy4+vTpc94e7Ha77HZ7oK0DAIAGIODw8m1VVVXyer3V1nfv3l15eXl+65588kmVlpZq4cKFcrlcCgkJUXR0tDZv3uwLKx6Px3dVBwAA4NsCCi9paWkaOnSo2rVrp9LSUq1atUo5OTnKzs6WJKWmpiouLk7p6ekKCwtTr169/PZv2bKlJPmtf+SRRzR37lx16dJFHTt21PTp0xUbG1vteTAAAABSgOHlxIkTSk1NVWFhoZxOpxITE5Wdna3BgwdLkgoKChQUFNg0mmnTpqmsrEwTJkxQcXGxBgwYoI0bNyosLCyg4wAAgMbhkp/zciXgOS8AAJinzp/zAgAAUB8ILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABgFMILAAAwCuEFAAAYhfACAACMQngBAABGIbwAAACjEF4AAIBRCC8AAMAohBcAAGAUwgsAADAK4QUAABiF8AIAAIxCeAEAAEYhvAAAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABgFMILAAAwCuEFAAAYJaDwkpGRocTERDkcDjkcDrndbm3YsOG89W+++ab69u2rli1bqnnz5urTp49effVVv5qxY8fKZrP5LUOGDKnd2QAAgAavSSDF8fHxmj9/vrp06SLLsrRy5UqNGDFCu3btUs+ePavVt27dWk888YS6d++u0NBQ/fWvf9UvfvELRUZGKiUlxVc3ZMgQrVixwvfabrdfwikBAICGzGZZlnUpB2jdurUWLFigcePGXVT9D37wA916662aM2eOpK+uvBQXF2vdunUX/Z5er1der9f32uPxyOVyqaSkRA6HI7ATAAAA9cLj8cjpdAb8+V3rOS+VlZXKyspSWVmZ3G73d9ZblqXNmzdr3759+tGPfuS3LScnR5GRkerWrZsmTpyokydPXvBY6enpcjqdvsXlctX2NAAAgGECvvKSl5cnt9ut8vJyhYeHa9WqVRo2bNh560tKShQXFyev16vg4GC9/PLL+uUvf+nbnpWVpWbNmqljx446ePCgHn/8cYWHhys3N1fBwcE1HpMrLwAAmK+2V14CDi8VFRUqKChQSUmJ1qxZo2XLlmnLli3q0aNHjfVVVVU6dOiQTp8+rc2bN2vOnDlat26dBg0aVGP9oUOH1LlzZ23atEk333zzRfVU25MHAAD1p87Cy7clJyerc+fOWrJkyUXV33vvvTp69Kiys7PPWxMREaG5c+fqvvvuu6hjEl4AADBPnc95OaeqqsrvFs6l1h87dkwnT55UTEzMpbYGAAAaoIC+Kp2WlqahQ4eqXbt2Ki0t1apVq5STk+O7ipKamqq4uDilp6dL+mpibd++fdW5c2d5vV6tX79er776qjIyMiRJp0+f1uzZs3X77bcrOjpaBw8e1LRp05SQkOD3VWoAAIBzAgovJ06cUGpqqgoLC+V0OpWYmKjs7GwNHjxYklRQUKCgoK8v5pSVlWnSpEk6duyYmjZtqu7du+uPf/yjRo0aJUkKDg7WRx99pJUrV6q4uFixsbG65ZZbNGfOHJ71AgAAanTJc16uBMx5AQDAPPU25wUAAKAuEV4AAIBRCC8AAMAohBcAAGAUwgsAADAK4QUAABiF8AIAAIxCeAEAAEYhvAAAAKMQXgAAgFEILwAAwCiEFwAAYBTCCwAAMArhBQAAGKVJfTfwfbAsS9JXP60NAADMcO5z+9zn+MVqEOGltLRUkuRyueq5EwAAEKjS0lI5nc6LrrdZgcadK1BVVZX+85//qEWLFrLZbN/rsT0ej1wul44ePSqHw/G9HhtfY5zrBuNcdxjrusE4143LNc6WZam0tFSxsbEKCrr4mSwN4spLUFCQ4uPjL+t7OBwO/sGoA4xz3WCc6w5jXTcY57pxOcY5kCsu5zBhFwAAGIXwAgAAjBI8a9asWfXdxJUuODhYgwYNUpMmDeIu2xWLca4bjHPdYazrBuNcN66kcW4QE3YBAEDjwW0jAABgFMILAAAwCuEFAAAYhfACAACMQngBAABGIbxIWrRokTp06KCwsDD169dPH3zwwQXrV69ere7duyssLEy9e/fW+vXr66hTswUyzkuXLtXAgQPVqlUrtWrVSsnJyd/554KvBPr3+ZysrCzZbDaNHDnyMnfYMAQ6zsXFxZo8ebJiYmJkt9vVtWtX/t1xkQId6xdeeEHdunVT06ZN5XK5NGXKFJWXl9dRt+Z59913NXz4cMXGxspms2ndunXfuU9OTo5+8IMfyG63KyEhQZmZmZe/0W+yGrmsrCwrNDTUeuWVV6w9e/ZY48ePt1q2bGkdP368xvr333/fCg4Otp555hlr79691pNPPmmFhIRYeXl5ddy5WQId55/97GfWokWLrF27dlkff/yxNXbsWMvpdFrHjh2r487NEug4n3P48GErLi7OGjhwoDVixIg66tZcgY6z1+u1+vbtaw0bNsx67733rMOHD1s5OTnW7t2767hz8wQ61q+99pplt9ut1157zTp8+LCVnZ1txcTEWFOmTKnjzs2xfv1664knnrDefPNNS5K1du3aC9YfOnTIatasmfXoo49ae/futV566SUrODjY2rhxYx11bFmNPrxcd9111uTJk32vKysrrdjYWCs9Pb3G+jvvvNO69dZb/db169fPuu+++y5rn6YLdJy/7ezZs1aLFi2slStXXq4WG4TajPPZs2et66+/3lq2bJk1ZswYwstFCHScMzIyrE6dOlkVFRV11WKDEehYT5482brpppv81j366KNW//79L2ufDcXFhJdp06ZZPXv29Fs3atQoKyUl5XK25qdR3zaqqKjQzp07lZyc7FsXFBSk5ORk5ebm1rhPbm6uX70kpaSknLcetRvnb/viiy905swZtW7d+nK1abzajvNTTz2lyMhIjRs3ri7aNF5txvmtt96S2+3W5MmTFRUVpV69emnevHmqrKysq7aNVJuxvv7667Vz507fraVDhw5p/fr1GjZsWJ303BhcCZ+D9f+M33r02WefqbKyUlFRUX7ro6Ki9Mknn9S4T1FRUY31RUVFl61P09VmnL/tN7/5jWJjY6v9A4Ov1Wac33vvPS1fvly7d++uixYbhNqM86FDh/S3v/1Nd999t9avX68DBw5o0qRJOnPmjGbOnFkXbRupNmP9s5/9TJ999pkGDBggy7J09uxZ3X///Xr88cfrouVG4Xyfgx6PR19++aWaNm162Xto1FdeYIb58+crKytLa9euVVhYWH2302CUlpbqnnvu0dKlS9W2bdv6bqdBq6qqUmRkpH7/+98rKSlJo0aN0hNPPKHFixfXd2sNTk5OjubNm6eXX35Z//znP/Xmm2/q7bff1pw5c+q7NXyPGvWVl7Zt2yo4OFjHjx/3W3/8+HFFR0fXuE90dHRA9ajdOJ/z7LPPav78+dq0aZMSExMvZ5vGC3ScDx48qPz8fA0fPty3rqqqSpLUpEkT7du3T507d768TRuoNn+fY2JiFBISouDgYN+6q666SkVFRaqoqFBoaOhl7dlUtRnr6dOn65577tG9994rSerdu7fKyso0YcIEPfHEEwoK4r/ZL9X5PgcdDkedXHWRGvmVl9DQUCUlJWnz5s2+dVVVVdq8ebPcbneN+7jdbr96Sfq///u/89ajduMsSc8884zmzJmjjRs3qm/fvnXRqtECHefu3bsrLy9Pu3fv9i0/+clPdOONN2r37t1yuVx12b4xavP3uX///jpw4IAvHErSp59+qpiYGILLBdRmrL/44otqAeVcaLT4HeLvxRXxOVhnU4OvUFlZWZbdbrcyMzOtvXv3WhMmTLBatmxpFRUVWZZlWffcc4/12GOP+erff/99q0mTJtazzz5rffzxx9bMmTP5qvRFCHSc58+fb4WGhlpr1qyxCgsLfUtpaWl9nYIRAh3nb+PbRhcn0HEuKCiwWrRoYT3wwAPWvn37rL/+9a9WZGSkNXfu3Po6BWMEOtYzZ860WrRoYf3pT3+yDh06ZL3zzjtW586drTvvvLO+TuGKV1paau3atcvatWuXJcl6/vnnrV27dllHjhyxLMuyHnvsMeuee+7x1Z/7qvSvf/1r6+OPP7YWLVrEV6Xrw0svvWS1a9fOCg0Nta677jpr27Ztvm033HCDNWbMGL/6N954w+ratasVGhpq9ezZ03r77bfruGMzBTLO7du3tyRVW2bOnFn3jRsm0L/P30R4uXiBjvPWrVutfv36WXa73erUqZP19NNPW2fPnq3jrs0UyFifOXPGmjVrltW5c2crLCzMcrlc1qRJk6zPP/+8Hjo3w9///vca/317blzHjBlj3XDDDdX26dOnjxUaGmp16tTJWrFiRZ32bLMsrqMBAABzNOo5LwAAwDyEFwAAYBTCCwAAMArhBQAAGIXwAgAAjEJ4AQAARiG8AAAAoxBeAACAUQgvAADAKIQXAABgFMILAAAwyv8HBMDacrRyANwAAAAASUVORK5CYII=", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "elapsed time: 0.000174604 seconds\n" ] }, { "data": { "text/plain": [ "PyObject Text(0.5,1,u'log |f| vs iteration')" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#J3. Apply Broyden Inverted Method with smart initialization on 10 points: Increase the iteration count until it converges\n", "\n", "N_Pts = 10\n", "N_Iter = 2\n", "Plot_Solver(Broyden_Inverted_Method_NewInit, N_Pts, N_Iter)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "elapsed time: 0.000267404 seconds\n" ] }, { "data": { "text/plain": [ "PyObject Text(0.5,1,u'log |f| vs iteration')" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#J3. Apply Broyden Inverted Method with smart initialization on 50 points: Increase the iteration count until it converges\n", "\n", "N_Pts = 50\n", "N_Iter = 2\n", "Plot_Solver(Broyden_Inverted_Method_NewInit, N_Pts, N_Iter)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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3jieffJLNmzeTmZlJVFQUgwYNYurUqZfsf23/MzAMg+HDh7Ns2TJSUlKwWq106tSJf/7zn7Rs2fKPbp7IX5oCIhEREXF7mkMkIiIibk8BkYiIiLi9y/JgxlmzZjF9+nRSUlJo0aIFr732Gu3atXOZd9u2bUyaNIn169dz4MABXn75ZcaMGXPBZebm5vLYY48xf/588vLy6NGjB2+88QaRkZGVarPNZuPo0aMEBAToQWIiIiJXCMMwOH36NDVq1Liwh9UaVWz+/PmGl5eX8e677xrbtm0zRo4caQQHBxupqaku869Zs8Z4/PHHjU8++cSIiooyXn755Ysq84EHHjBq1aplJCYmGuvWrTM6dOhgdOzYsdLtPnTokAHopZdeeumll15X4OvQoUMXFK9U+aTq9u3b07ZtW15//XXAPvJSq1YtRo8ezVNPPXXOdWNiYhgzZky5EaLzlZmRkUF4eDjz5s1j4MCBgP1ZHo0bNyYpKYkOHTqct90ZGRkEBwdz6NAhAgMDL6brIiIicpllZmZSq1Yt0tPTCQoKqvR6VXrLLD8/n/Xr1zN+/HhHmtlsJj4+nqSkpCorc/369RQUFBAfH+/I06hRI2rXrl1hQJSXl0deXp7jffH/oh0YGKiASERE5ApzodNdqnRSdVpaGkVFReXm7URGRpKSklJlZaakpODl5UVwcHCl601ISCAoKMjxqlWr1kW1T0RERK48+pXZWePHjycjI8PxOnTo0B/dJBEREblMqvSWWVhYGBaLhdTUVKf01NRUoqKiqqzMqKgo8vPzSU9PdxolOle9VqsVq9V6UW0SERGRK1uVjhB5eXkRGxtLYmKiI81ms5GYmEhcXFyVlRkbG4unp6dTnl27dnHw4MGLrldERET+uqr8OURjx47lrrvuok2bNrRr146ZM2eSnZ3N8OHDARg2bBjR0dEkJCQA9knT27dvd/x95MgRNm3ahL+/P1dddVWlygwKCmLEiBGMHTuW0NBQAgMDGT16NHFxcZX6hZmIiIi4lyoPiAYPHszx48eZNGkSKSkptGzZksWLFzsmRR88eNDpwUlHjx6lVatWjvcvvvgiL774Il26dGHZsmWVKhPg5Zdfxmw2M2DAAKcHM4qIiIiUpf/ctQKZmZkEBQWRkZGhn92LiIhcIS72+q1fmYmIiIjbU0AkIiIibk8BkYiIiLg9BUQiIiLi9hQQiYiIiNtTQCQiIiJuTwGRiIiIuD0FRCIiIuL2FBCJiIiI21NAJCIiIm5PAZGIiIi4PQVEIiIi4vYUEImIiIjbU0AkIiIibk8BkYiIiLg9BUQiIiLi9hQQiYiIiNtTQCQiIiJuTwGRiIiIuD0FRCIiIuL2FBCJiIiI21NAJCIiIm5PAZGIiIi4PQVEIiIi4vYUEImIiIjbU0AkIiIibk8BkYiIiLg9BUQiIiLi9hQQiYiIiNtTQCQiIiJuTwGRiIiIuD0FRCIiIuL2FBCJiIiI21NAJCIiIm5PAZGIiIi4vcsSEM2aNYuYmBi8vb1p3749a9asOWf+zz77jEaNGuHt7U2zZs345ptvnJabTCaXr+nTpzvyxMTElFs+bdq0KumfiIiIXNmqPCBasGABY8eOZfLkyWzYsIEWLVrQo0cPjh075jL/ypUrGTp0KCNGjGDjxo3069ePfv36sXXrVkee5ORkp9e7776LyWRiwIABTmVNnTrVKd/o0aOrtK8iIiJyZTIZhmFUZQXt27enbdu2vP766wDYbDZq1arF6NGjeeqpp8rlHzx4MNnZ2SxatMiR1qFDB1q2bMns2bNd1tGvXz9Onz5NYmKiIy0mJoYxY8YwZsyYi2p3ZmYmQUFBZGRkEBgYeFFliIiIyOV1sdfvKh0hys/PZ/369cTHx5dUaDYTHx9PUlKSy3WSkpKc8gP06NGjwvypqal8/fXXjBgxotyyadOmUa1aNVq1asX06dMpLCyssK15eXlkZmY6vURERMQ9eFRl4WlpaRQVFREZGemUHhkZyc6dO12uk5KS4jJ/SkqKy/zvv/8+AQEB9O/f3yn94YcfpnXr1oSGhrJy5UrGjx9PcnIyL730kstyEhISmDJlSmW7JiIiIn8hVRoQXQ7vvvsut99+O97e3k7pY8eOdfzdvHlzvLy8uP/++0lISMBqtZYrZ/z48U7rZGZmUqtWrapruIiIiPxpVGlAFBYWhsViITU11Sk9NTWVqKgol+tERUVVOv9PP/3Erl27WLBgwXnb0r59ewoLC9m/fz8NGzYst9xqtboMlEREROSvr0rnEHl5eREbG+s02dlms5GYmEhcXJzLdeLi4pzyAyxZssRl/nfeeYfY2FhatGhx3rZs2rQJs9lMRETEBfZCRERE/uqq/JbZ2LFjueuuu2jTpg3t2rVj5syZZGdnM3z4cACGDRtGdHQ0CQkJADzyyCN06dKFGTNm0KdPH+bPn8+6det4++23ncrNzMzks88+Y8aMGeXqTEpKYvXq1XTt2pWAgACSkpJ49NFHueOOOwgJCanqLouIiMgVpsoDosGDB3P8+HEmTZpESkoKLVu2ZPHixY6J0wcPHsRsLhmo6tixI/PmzWPixIlMmDCBBg0asHDhQpo2bepU7vz58zEMg6FDh5ar02q1Mn/+fJ555hny8vKoW7cujz76qNMcIREREZFiVf4coiuVnkMkIiJy5flTPodIRERE5EqggEhERETcngIiERERcXsKiERERMTtKSASERERt6eASERERNyeAiIRERFxewqIRERExO0pIBIRERG3p4BIRERE3J4CIhEREXF7CohERETE7SkgEhEREbengEhERETcngIiERERcXsKiERERMTtKSASERERt6eASERERNyeAiIRERFxewqIRERExO0pIBIRERG3p4BIRERE3J4CIhEREXF7CohERETE7SkgEhEREbengEhERETcngIiERERcXsKiERERMTtKSASERERt6eASERERNyeAiIRERFxewqIRERExO0pIBIRERG3p4BIRERE3J4CIhEREXF7lyUgmjVrFjExMXh7e9O+fXvWrFlzzvyfffYZjRo1wtvbm2bNmvHNN984Lb/77rsxmUxOr549ezrlOXnyJLfffjuBgYEEBwczYsQIsrKyLnnfRERE5MpX5QHRggULGDt2LJMnT2bDhg20aNGCHj16cOzYMZf5V65cydChQxkxYgQbN26kX79+9OvXj61btzrl69mzJ8nJyY7XJ5984rT89ttvZ9u2bSxZsoRFixaxfPly7rvvvirrp4iIiFy5TIZhGFVZQfv27Wnbti2vv/46ADabjVq1ajF69GieeuqpcvkHDx5MdnY2ixYtcqR16NCBli1bMnv2bMA+QpSens7ChQtd1rljxw6aNGnC2rVradOmDQCLFy+md+/eHD58mBo1apy33ZmZmQQFBZGRkUFgYOAF91tEREQuv4u9flfpCFF+fj7r168nPj6+pEKzmfj4eJKSklyuk5SU5JQfoEePHuXyL1u2jIiICBo2bMiDDz7IiRMnnMoIDg52BEMA8fHxmM1mVq9e7bLevLw8MjMznV4iIiLiHqo0IEpLS6OoqIjIyEin9MjISFJSUlyuk5KSct78PXv25IMPPiAxMZEXXniBH3/8kV69elFUVOQoIyIiwqkMDw8PQkNDK6w3ISGBoKAgx6tWrVoX3F8RERG5Mnn80Q24GEOGDHH83axZM5o3b079+vVZtmwZ3bp1u6gyx48fz9ixYx3vMzMzFRSJiIi4iSodIQoLC8NisZCamuqUnpqaSlRUlMt1oqKiLig/QL169QgLC2P37t2OMspO2i4sLOTkyZMVlmO1WgkMDHR6iYiIiHuo0oDIy8uL2NhYEhMTHWk2m43ExETi4uJcrhMXF+eUH2DJkiUV5gc4fPgwJ06coHr16o4y0tPTWb9+vSPP0qVLsdlstG/f/vd0SURERP6Cqvxn92PHjmXOnDm8//777NixgwcffJDs7GyGDx8OwLBhwxg/frwj/yOPPMLixYuZMWMGO3fu5JlnnmHdunWMGjUKgKysLJ544glWrVrF/v37SUxMpG/fvlx11VX06NEDgMaNG9OzZ09GjhzJmjVrWLFiBaNGjWLIkCGV+oWZiIiIuJcqn0M0ePBgjh8/zqRJk0hJSaFly5YsXrzYMXH64MGDmM0lcVnHjh2ZN28eEydOZMKECTRo0ICFCxfStGlTACwWC7/88gvvv/8+6enp1KhRg+7du/Pss89itVod5Xz88ceMGjWKbt26YTabGTBgAK+++mpVd1dERESuQFX+HKIrlZ5DJCIicuX5Uz6HSERERORKoIBIRERE3J4CIhEREXF7CohERETE7SkgEhEREbengEhERETcngIiERERcXsKiERERMTtKSASERERt6eASERERNyeAiIRERFxewqIRERExO0pIBIRERG3p4BIRERE3J4CIhEREXF7CohERETE7SkgEhEREbengEhERETcngIiERERcXsKiERERMTtKSASERERt6eASERERNyeAiIRERFxewqIRERExO0pIBIRERG3p4BIRERE3J4CIhEREXF7CohERETE7SkgEhEREbengEhERETcngIiERERcXsKiERERMTtKSASERERt6eASERERNyeAiIRERFxe5clIJo1axYxMTF4e3vTvn171qxZc878n332GY0aNcLb25tmzZrxzTffOJYVFBTw5JNP0qxZM/z8/KhRowbDhg3j6NGjTmXExMRgMpmcXtOmTauS/omIiMiVrcoDogULFjB27FgmT57Mhg0baNGiBT169ODYsWMu869cuZKhQ4cyYsQINm7cSL9+/ejXrx9bt24F4MyZM2zYsIGnn36aDRs28Pnnn7Nr1y5uueWWcmVNnTqV5ORkx2v06NFV2lcRERG5MpkMwzCqsoL27dvTtm1bXn/9dQBsNhu1atVi9OjRPPXUU+XyDx48mOzsbBYtWuRI69ChAy1btmT27Nku61i7di3t2rXjwIED1K5dG7CPEI0ZM4YxY8ZcVLszMzMJCgoiIyODwMDAiypDRERELq+LvX5X6QhRfn4+69evJz4+vqRCs5n4+HiSkpJcrpOUlOSUH6BHjx4V5gfIyMjAZDIRHBzslD5t2jSqVatGq1atmD59OoWFhRWWkZeXR2ZmptNLRERE3INHVRaelpZGUVERkZGRTumRkZHs3LnT5TopKSku86ekpLjMn5uby5NPPsnQoUOdIsGHH36Y1q1bExoaysqVKxk/fjzJycm89NJLLstJSEhgypQpF9I9ERER+Yuo0oCoqhUUFHDbbbdhGAZvvvmm07KxY8c6/m7evDleXl7cf//9JCQkYLVay5U1fvx4p3UyMzOpVatW1TVeRERE/jSqNCAKCwvDYrGQmprqlJ6amkpUVJTLdaKioiqVvzgYOnDgAEuXLj3vfcL27dtTWFjI/v37adiwYbnlVqvVZaAkIiIif31VOofIy8uL2NhYEhMTHWk2m43ExETi4uJcrhMXF+eUH2DJkiVO+YuDod9++40ffviBatWqnbctmzZtwmw2ExERcZG9ERERkb+qKr9lNnbsWO666y7atGlDu3btmDlzJtnZ2QwfPhyAYcOGER0dTUJCAgCPPPIIXbp0YcaMGfTp04f58+ezbt063n77bcAeDA0cOJANGzawaNEiioqKHPOLQkND8fLyIikpidWrV9O1a1cCAgJISkri0Ucf5Y477iAkJKSquywiIiJXmCoPiAYPHszx48eZNGkSKSkptGzZksWLFzsmTh88eBCzuWSgqmPHjsybN4+JEycyYcIEGjRowMKFC2natCkAR44c4csvvwSgZcuWTnX973//4/rrr8dqtTJ//nyeeeYZ8vLyqFu3Lo8++qjTHCERERGRYlX+HKIrlZ5DJCIicuX5Uz6HSERERORKoIBIRERE3J4CIhEREXF7CohERETE7SkgEhEREbengEhERETcngIiERERcXsKiERERMTtKSASERERt6eASERERNyeAiIRERFxewqIRERExO0pIBIRERG3p4BIRERE3J4CIhEREXF7CohERETE7SkgEhEREbengEhERETcngIiERERcXsKiERERMTtKSASERERt6eASERERNxQLJupAAAgAElEQVSeAiIRERFxewqIRERExO0pIBIRERG3p4BIRERE3J4CIhEREXF7CohERETE7SkgEhEREbengEhERETcngIiERERcXsKiERERMTtKSASERERt6eA6E/MMAySM3LIzC34o5vyl5BxpoDtRzMpshl/dFMuq1PZ+fz463HyC22Xpb4im8Hx03mXpZ5dKacvS10VuVzbtKqcyS/8o5twWRw6eYaVu9PYdjSDI+k5nMkvxDDc6zzgis1mcOBEttvsB+fjcTkqmTVrFtOnTyclJYUWLVrw2muv0a5duwrzf/bZZzz99NPs37+fBg0a8MILL9C7d2/HcsMwmDx5MnPmzCE9PZ1OnTrx5ptv0qBBA0eekydPMnr0aL766ivMZjMDBgzglVdewd/fv0r7+nukn8nn591pbD2SybajGRz67RCcPAkeHtS5ph5dW9bhxmuiiA72uSztySsswmIy4WFxHTfbbAYbDp5i48F0dqacJjkjB18vDwK8PfC3euDv7UE1Py8iA72JDPQmKtCbyCArVg/LZWk/2E+ES7ankrgtmZyk1VBUREBYMHH9unJbm1qE+nn97jpOZOXxy+EMtidnUjfMjx7XRGExmy5B688tJ7+IFbvTWHvgJM2ig+jTrDomk3O9P/xyhG+m/Yus3ALmR0bQdcSt9G8VXeFn+nv9vOsYb7//A3tP5nBjbF3G3NGZIB/PCvMbhsHBk2dYuecEvxxOx9/qYd9Xguz7S7CvFwHeHvhZPbAZBpsPpbNu/ynWHzjF4W27CU1LxmKx0KlXB0b0bUOAd8V1XUrr9qYx7YtNbDmaSXCgL7UjA2kWHcyA2GiuqRF0WdpgGAYnsvM5fCqHw6fOcPhUDiey8ogO9uGqiAAaRPoTEWAtt08AbD2SwZtfbeSnnalc1yCMp/4WR80QX6c8uQVFLPolmYIiG72aRhHse3HHyoET2cxdsZ9Ve0/QqnYwvZtVJ65etXPug4ZhcDQjlx1HM9mXls2+E9kcOJHN/rQzFBTZuK1NLYZ3iqGav7XCMnILili8NYWv/7eVzHUbATgcFMmRoAgAvDzM1AjyJjrEh5rBvtQM8aF+hD9XR/pTp5ofnpU4RlbtPcHcFfuIDPRmYGxNmkUHudzelWWzGfx67DRJe05w/HQeA2NrUi+8aq5ZxzJzmfbql2zfewyTxYy5WTNa1Q6mde0QWtUOIaaaLzYDNh06xffbU1m28zj+3h6M7FyX7k2iMF+Gc9zlZjKqOExesGABw4YNY/bs2bRv356ZM2fy2WefsWvXLiIiIsrlX7lyJddddx0JCQncdNNNzJs3jxdeeIENGzbQtGlTAF544QUSEhJ4//33qVu3Lk8//TRbtmxh+/bteHt7A9CrVy+Sk5N56623KCgoYPjw4bRt25Z58+ZVqt2ZmZkEBQWRkZFBYGDgpdsgZeQWFPG/ncdYuP4QOd//QB5m0n0C2BUew5ifP2bMik8AWNAsnsNBkayo05K8du3p3iSK7tdE0igq4JwHoGEY/HYsi6y8QqICvYkIsJ7zRHQsM5fvt6eydON+Nu4+htXLQtsmNbm+SQ2ubxhOqJ8X25Mz+XLTUTYsXUfg/t/wKCrkjo3fUGT2YGtUfV68bhjX7ttI09Q9APyn6Q2c8A3Cs6gQDwyiwgOJiQqmXrgf9cP9qR/hT7i/ldzCInLyiwDw9fLA18uCt6fF8W9lgwzDMFiz7ySffLOBNdsPY8PMSd9Afp3RH4C10U0YdMf/4eVh5qbm1bmzQx2a1wwmJTOXwyfPcOhUDhk5BbSsFUTzmsHlTownsvJI3HmM5b8eZ/PhdA6dzKHzvg20ObwDgFXX38JtA6/l5uY1XG5rwzDIK7SRW1DEqTMFpGbmkpqZy7HMPFIyc8kvtHFtgzC6XB2Ot6dz8Hj41BkSdxxj6c5jJO09Qe/NibQ5vB3DZGLt7Q/xxPCu1Ar1JSuvkGe/2s5XK39l+8uDAPipTkvuHPIcMdV8eSS+Abe0iHa5TQuLbOw/cYbdx7JIzczl+Ok80rLsL/vf+Vg9zNx4TSQ3NatB0+hADp3M4bmvt7Ni4z62zbwNgOUxrXhi5P8x5ZZrqBfuT2GRgc0wKLIZ7D6Wxco9J1i19wRH0nN45Od5RGadJM/Dkynx9xNyJoOg3CwMk4kU/2rkeZa/8I1Y8wVP/+8dAP5+y5OsbhvPuB4NGRhbE5MJTmTns/tYFulnCvC3ng3UvT0IsHrga/XAYjJhMmF/YSKnoIgjp3I4mp6Dh8VEmL+ViAAroX5ejs8xJSOXad/uYOsPq/jhnYcA+KF+W075BGE2ivhvk+s5ca092O7bssY5gwjj7LbILbRx4EQ2+9Ky2Z+WTVpWPtl5hZwpsB8P2XmFFBTZMADDsK+XlVfIkfQccgtKRqge+Xke3oX5nPAN5F/t7Pt6gLcHjasH0rRGEE2jA4kK9Ob9pP18ty2V7//1EFefOEiWlw9tx33OY92v5u6OMeQW2vh41QGWL1hC21+WYzJgWaMO1IzvzOA2tehYv9p5L4aGYbB2/yne+Xkv329P5cu5j+BbkMvB4CiGD5pCqJ8XcfWr4e/lgZeHGauHGS8PM2fyi9iRnMnOlNOEH9pD3VNHAVgf3RiApXPux2QYLKvXhicHPMnQdrUZ2bkeNc5+STQMg18OZ/Dv9Yf576YjZOYWcv2etbz37ykAvHXDMF7sMJjv37yXkJzTHAiuTt+7Xqbvtv8RmpNJodnCh61vwtNiol6YP1dHBdAw0p9mNYNpUTPI8Xlm5BQw7dudxLzwDLFHdmBg4p5Bk4mqFckNjSLo3CCcNjEh5Y5fV9tpb1o2SXtOkLT3BKv2nOB0Rjbjl72LyTDYX60mRQ/9nYe7NSA8oOQYKCiy8WvqaXy9PKgT6lvh53Emv5Ajp3KIDvHB16tk/ON/u47x+Keb+XL67USfPk6Kfygd/v6B07ohvp5YzCbSsvIZuOUHxv34PiYMJsc/wG/X9WTUDVdxU/MalT4vHz51hs/WHSZp7wnu6FCHW1rUqNR6F+Nir99VPkL00ksvMXLkSIYPHw7A7Nmz+frrr3n33Xd56qmnyuV/5ZVX6NmzJ0888QQAzz77LEuWLOH1119n9uzZGIbBzJkzmThxIn379gXggw8+IDIykoULFzJkyBB27NjB4sWLWbt2LW3atAHgtddeo3fv3rz44ovUqFF1H0Rl2GwGa/afZOHGI3y9JZnTuYVYC/PZ9ck/ANjbtC2r3/k33XKiYYV9ncFbfgCgwMOT2Ucbs+1oJi//8Cs1Q3zo3iSKNjEhNK4eSJ1QX2xnT0bfb09hY9JWzAcP2cutFk2GbyBh/lYiA60E+XievVDY/918OJ2NB9MBeOp/7/Lums8BuO1v03hsW1NMJogM8CYlMxeAERt+dFyQijUM98WrdyPazviEVj9+DEB6x86E/rqccf+ZAcC4ng/zaYvuJO4Er8ICgnKzKDSb8SgqpFpOJh62IpIDwjjhF+xUdpi/F61qh9CmTgixdUKICPDG12rB3+qB1cNMkc3gu22pvP3TXjYfSuf1/77AzJ0/ATB/wY+OcuqGetMsOogtRzL4fMMRPt9wBIvZ5LiVdtf6r7DYbPziG0hi6xvpUC+UTleFUVhksGR7KusOnGTc/+bSPj+HBj6BvNz5Dvoc28aQlQsA+DmmBY8uCODVxN3c0aEOKRk5bDiYzp7jWeTkF5FXaMNiK8KzqACTAfkenhSZLVgL8pi0dA4GJlaE1WZMh350bRRO9yZRpGXlsSxpFyd37MZs2EgOCCPfL5huKdu5edO3AHzYqjc9Zi5nxLV1WbjpCIdO5uBX6lxVN8yXUD8v9p84w6MLNjPj+1+JDPTGw2zC02LGYjaRmpnL3uPZ1E/eTXTGcSxGET/XaUm21T56EHt4O18sTKDQbOGD1jdxc4eB1Ar1ITUzj/xCG0Gl6vPxsmA6fISpbxyiwOzBcf9QAvKyicpMw4TBMf9Q0n0C8bSYGLAvidpH95Hv7cP6sc9w43vz6LvE/uVlyN8SmPnldALzsjkSVpNZL31GbEwo3a2b4H9n940gH9Ky8hj3n194delvZOUVYjt5itZHdmLC4HBgBL+F17FnLv4O6OKLRN2TR6hz6iheRYWsrdmEU75BmEwQ6utFeICVgyfPcCa/iKsp+R7ZIdIb/5X243Nn9frMOZrJ5C+3MfnLbVjMJqdbM8V/ufoaelXaQW7e8ROhho2t9VqzruY13LB7DaPWfYlhMvF2u/4cCYrgn9+9jtlm4/sGHXi3/a1EBnhTM8SHkbO+wT8rnWMRNUnsfSeT33yc+icOk2fxJH7kbALysvEost8aMfkGEuBtP/1bTPZg8Lmvd/DpukOkZuaRkVPAbft2OL6QJQdUY/7m+ny1+Sg1Q3yIq1cNmwGFNhuFNgObzXAENlYPC5sOpbPlSEZJ3zKS8ck9g7+vlSb5J7lj8ceYDYOk2s1YcE1XAnOzGLL5O7wA37DaZNRvywPbl/Fg0qcAfPrCe3i3bknwa1kARFkKyS2wMXfFfj5adYBbW0UTFeTDd+v20fynbzEZBi0Cw9jbqhO3tqwB/7a34/4u9bnv6V7wVj6m3Cys1kJmDGrB9fPHUO3AbnKsPvynQ1/O5Bdx4PBxuv53LqdNMC+kBndd3ZE61XxpFh3Emn0nOXY6j3fTDtLmiP2L0Jwvnsdks7E/uDp39H4Eq4eZdnVDaV07hEAfT/ytFvytnvhZLaRk5JK09wRJe05w7HQe96/+NzekHeR6zLx043CGr//Kfi6p04I7Vt3E5xsOc1fHGAptBhsPnuLY9t0Ep6cBkBodQ716NWhWM4haIb4cPHmG31JP89uxLEz79uFVWIDZYsa3WRPaxIRSUGTjg6QD9s/+bMAW7uPBrL+1ZuPBU2w4eIqiDRt5LPFdisxmljTvSqtIbyKyTwEQTCG/HcvikfmbeOHbnXh5mDl2Og9vTwsNIwNoGBVAo6gAGlUPpG41P37afZwFaw/x8+403vrPc1yXnc5J3yDGJbzFM7dc4xSo/dGqtCX5+fmsX7+e8ePHO9LMZjPx8fEkJSW5XCcpKYmxY8c6pfXo0YOFCxcCsG/fPlJSUoiPj3csDwoKon379iQlJTFkyBCSkpIIDg52BEMA8fHxmM1mVq9eza233lqu3ry8PPLySuYiZGZmXlynz+P1pb/xyZpDHEnPcaRVD/JmYMMosMcL1IsMpF672vBF+Y/n4c51qHdLc77flspPvx2n9YrF2JZkkGQ281CrPvhZPbCYTWTm2k98I1d/zz+WvQvA32+dwNdXd+TFd57EWpjPweAoxvUeQ7tDW4k78AvXAelNuhDU4ho61A2FNfY6+7eOJtszkFGznsK7MI+UoAiWj32WQQXVHRckR1/8PbnvuvrwaUkwM61/c/gF+I/9/f3X1qFZt6bsPZ6F97KlPDnrYQB+bNiBLrtWAfD8zQ/zUYte5BQU0Wn/JmZ/8Tw2k5k34gbxTpOufFRUgNmwcSDEHtxazCY8LSbHN2YvDzN1QrwdbRjSIcZ+ATQMwrwtfDmqE5sPZ/DLjLfoNncGNpOZGdffxcZOPfnHsrl4FeazM6o+/72mK+vX/8bxRHtgdSQoAptfCEO2JRKclU5OrRjunvwBQZN/hGX2uoa2q83uDE/CN67mu42rsdiKmPntq5htNlbEtGBc7zHcve5LRzA55Y5J7OjckxhLAbe/tBiAVQ3a8kHszaxc8ytbl2/EZjLR8cBmPlr8GgA/PTqFyEcfpUHqv2Gdvd5raoZwJPM0Hy1ajwmoGRXBy7c0g5fsy2sG+7B8XFc+XP4bbUYOochmY3tEPabG30efHT/Ra9cKMJl4Pe42Rq7/iv6/LAHg1df+C42vJszfSsOtZ4j42H5ibBFsoVPydvosTgTgt579uf2BXvCyvb7Wdaux8q17MNtsbI1uyN0PvE6fvT8x5bMXAPj+wYn4jHqY2Doh+C70gaPg5enB639rDRtrgL16PrkvDr6xYcrKo4G/mZlDWtkX/FQy+jLxpibUqVaPug/dQ6HNYHtEXZbXi+W9fz8DwH+6DOKlBg9wOreAr165mzrpKaT5BtFm9Mc0PraXr94bQ5HZzJ6IGJok77bvpyNeZIlfEDYDzKkpPPneKxSZzBxs2YFr7x8MZ78L+PuUtOPRrvWp0aUJ3ft1JiDzFIeDI+k9/DWnY2T1rGH45eewNzSamhnHCMzNYl94bT7vO5JHVtoDkDbN6vDrzU1o9uVmYv+zCYDQkXeT3bAe7edsAaBJfAeefLYXXh5nRyEn2P+JCPHjf49fj+2DAsx7Uym0ejO8UwwDHh9G0183ALB7bwrVv/KGI+DtYWJa/2aseHkuEWvsX55W3dCfQW1rgX13ZFTXq/BoWJvfvvmR7on24O/bhh1ZV/Ma/rn4NbwL80kJqMb7rW/i9o3f0gOD6JqNCRkygHs6xeDzuj34jAz25cshjfB4+Tv7Pls3nDrdGuB7cC8PvDIXgAM9b+Xxhx+lIT/B2cvEbW1rQ/Oajm3Yrk4wH45ox6z/7WbPL3vYs3Abv5otFHr5MP3bVwA40a0nIeMmYv625FyLyWQfUT8bkfp4WhgQWxMC7SNMPhYTW5/pwZH0HPbv2EvnlwYCsKJxHN9d3RHbnr3U/PpnaphMHL2mNa1rBsFee9HtU3/FlJtLLXM+UYHeFB1NpvFHn5EDrIusz4qYlgTmZhFz6igmwyA5IIxjAdXw8jDTJ3UbzXesBaDvt+87jqFmNQJpUTMIy+pV/LJrHTaTibUxLXlyzVc8uNoe5Q0emsDqIg98vvuGPQac9AlkQ037iNrCL/+Plsm/YsNEvSe/wrJ6FZ5FhbS2eNB0YE8i/uMPJ8FiK6JP8+r0aV4dgPzvsvB6x36b8bohPbHUjIa5Z4+1Po2oXu9qrnr0PryzT+Obn0uTY3vxtBUxsftDvNes5NpcVmzaXqqdOkZyQDVGrjvM+gOneG1oa5rUqLq7MBfEqEJHjhwxAGPlypVO6U888YTRrl07l+t4enoa8+bNc0qbNWuWERERYRiGYaxYscIAjKNHjzrlGTRokHHbbbcZhmEYzz//vHH11VeXKzs8PNx44403XNY7efJkA/sXOKdXRkZG5TpbSY/O32jUeXKR0XTSYmPcZ5uNlbvTjKIim2Gkp9tHw8EwevSwZ37iiZK04tfTTzvKys4rMNKvaWEYYBSazEaXUXON1TWbGGujGxuv3XCX8dinm4ydj01yrFv06WdGamaOUeTjaxhgpF/VyPhg5T5j1fBHHHlOzv+PvfDHHy+pc/lywzAMo8jf315Xkyb2PAkJ5dvXpYt92d//XpK2bp1hvPdeyfvSn8E335Sk9+9f8verr9rrLLIZuV/815G+ZsSjxv46jQwDjDyzh1HnyUVGnScXGS93GmocCgw3jgRHGu+/+V/j+OlcwxgwoKS8Q4cMw8PD/nfr1iX1z5lTsn3enmNPs1oNAwxby5bGlsPpRuL46Y48Kx+bahw6mW0Y4eH2tHr1yn9WP/5onM4tMAq87OUk16zvWHamRy/jWGaukfNCSZnG/Pn2Mk6edKTZevUyfjmUbqwccr8j7Zc7HyxZ57XX7OvcfXdJ+7duMw536OJ4n3k01TCyskrWueEG+zo5OY60E23ijK82HzF23luyD6T++0vDNmJEyXpbtpRsr8WLS9InTzZyZ71R0uZ//cswTpwoWd67d8k2j421r//RR+U+Y8MwDKOR/TM1goLs7x97zHn/q1bNeXsbhmG88EJJns8/d+rr6U7XGTnLfy5Z/sgjjtVsdeva2xsebmTm5BunV6wqyRcbW/L3998bhUU241hmrrH7p/Ul/bzjTsPYtKkkX/fuJX+/8IK9kogIwwCjoE6MkZKRY6Rm5BipmfZXUUCAfVmjxoYtMNC+XqNGhvHFFyXlTJtmL2fWrJK09983jM2bS96PHOl8cjl7fBrFx2fz5vb3Pj729127lqybnW0Y11xj/9vPzzAMw8jte6tjeeHBQ4bx7rsl+WfPNgzDMPLmvu9IW/7wJGPO8j1Gvo+f/dwR08BYMLukDzn3PVDSNh8fe3rz5oaxYUNJuQ+czfPrryVpt99uTxs/viRt6VKn48Po1ctR9P5/vuRI3/TElJI8ffrYM3z1VUnas8/a00JD7e8bNLC/b2E/jxpWa0mbU1JK1uvb10jPzje2vD3PkZY/+Rn7ubo4j599OxjXXGPYbDbjwHc/Opb9eONtxvC5a4z/u7/knLn8nrHGit3HjZz8QufP5tgxp2PWZrMZGQ0a2895Vm/j07UHjZOjH3Xk2ffvr43PftzheL+neXvjo1X7jdV7TxgFre37s81iMb7YcNhID7XvlzmR1e19bNjQ+bgr9u23JW145hnDePPNkvdz59qPo7PnwPyQao5l68b/05j61Tbj9jmrjH+37WOc8vY30n0CjLff/d44kJZtGNWrGwYYudWjjXbPLzHqPLnIeH/lPuNSy8jIMC7m+v3nGav6g40fP95pZCozM5NatWpd8nqGd6pLt8aRdGsc4Xx/ubDULH+LpXxasVKjWL5eHuBp/+Zl8fLkhwfa4fH6dgBad2uLeVALOLDEkd9sNhER4A1n7xQE+XhyZ1wMJIY58oScY5Jx8WwYS/GthqKi8pmK0wzDOd1iKZ8HoKDUL+i8vMqlm80mrKaSstpeFQGb/eEAeGFjzz97cya/EMuYr/FdcRyAYbHVwd8KtlK/ADKb7W0oLHSuv1Qec5nJ3ibDoGl0EDQqmesWVz8Mykw+tWd2vv3ib/WAszdIokJ84bA93ccMPgFWKD1MXLytSrXFZDLRrGYQxIQ40prVqVa+3aW2s9liJrpU2wKsHi5vC5VeJ9Tfyk3Na0BkycTNiCAf8CjVvtL7YZn91OpZks9Upg+YzfZX6fTS7Sm9jxQvL85fepnJVLL/lC6/9N+lvvUD+Ht7gnep/anUZ246m89kMtknYXuUalPpfhcUYDGbCA+wEh5aMtpo8vQoX3fZNp1tr4etiMjAknUByM+3L7N6laxrGCV9L11ORduhTJ+c3lsu7kcLVo+S+i1mk8vPystSktb56gg6d67nODGE+HlxW7s6juXeFhfbpfQ+UTq9bD/LphWvW3Y9oE5QydyaFnXDz112mf6UK/sc+1eQrydB1QMcSZ6eHs7llCrDZDJRu5qfY9F1V4dz3d1tIeQovGVP63xVGNQPK1+Xh/O5wWQyEXj29qaXxcygNrXg3yX7dkyYHzFtajve16vmS732xZ/D2X3dbKZfq2g4+wMH7+LPuriustea0u89PFzuC6azbfYsdR2LjQ4k9qYm9jfLgmGt/RbnyM51oZqvYx+1Wj359pHrWLD2EHd2KNln/mhVGhCFhYVhsVhITU11Sk9NTSUqKsrlOlFRUefMX/xvamoq1atXd8rTsmVLR55jx445lVFYWMjJkycrrNdqtWK1VvyLhUulWc0g+4WurNInt+Kd1FXAcfZk6lC843p44FHq4uQ4dbg6GZxLcX5XJ6iyzhUQlXauE3npgMiz1C+EznERLn1xtJjPXtRcTV50FRCVrd/Vhe13/EoEKNl2ri5Q5woMXG3z0u1zVU7ZE3JFAYer96XrKVt36ZNy6e11rhNl2fa6CogquKiV2y4VBQKl21K272XXqaiu4nyuAvvS/S59rJXOY7E41+Vq367MMex1gQFR6X3YVdkXGxBVdI6o7D5aentWtM2L21ZRQFRRvRWluyobnD+/CynbVcBdQbDjVJar49PVZ+6q/tLll92/XOWpiGFU/otGWRXtp5UIiJw+02Klz+eutl+pfTTUz4sHr6/vul1/kCp9DpGXlxexsbEkJiY60mw2G4mJicTFxblcJy4uzik/wJIlSxz569atS1RUlFOezMxMVq9e7cgTFxdHeno669evd+RZunQpNpuN9u3bX7L+XVKuRogqExAV74Bld9qLPdFcSADlagTrQkeISpfhYoSoXB4Pj8qfUCsTELk6aC+Gq21bZrTAqe7fGxAVl1P2BF223POMELlMKxsQld7+FV18isu42BGi4r9dfQalL7TnCmYvdUB0rn2wbD/L1lPRN++iopL6KxMQle3jpQqIyu4rFeUpdjEBkavPymJxzlPZL2Blyy6dv/Q2Lv2lqjKjT8XvK7N/lS2rbBDuqgxX/XDVh4r2wcoEq+cq93wBUUV3Iy4kICq9v5U+Zlxtv/O15w9W5bfMxo4dy1133UWbNm1o164dM2fOJDs72/Grs2HDhhEdHU1CQgIAjzzyCF26dGHGjBn06dOH+fPns27dOt5++23APsw9ZswYnnvuORo0aOD42X2NGjXo168fAI0bN6Znz56MHDmS2bNnU1BQwKhRoxgyZMgf/guzCrk6IFwFHOcYIarwhHE+57toVmaEyGy27+wVjRBVdHE6zy2zcvV4eJS/KJQ9MbmqpzIjRBUdpBc6yla8jquLfFWOELkKiMq2qaJ6Sit74T3XaF3Z+ioKiM4VCJbuz4XcMjtXP6p6hOh8AVFFF5rSZXp6XrpbZoZRfnSqrIr244oC5IsJiFzto6X/rswIUUXtOt/oE5x/hKgiZc+drgLssmWWPe9UxQhRZVX0Zbjs+absZ3YpRogqOlecZ4Toz6jKA6LBgwdz/PhxJk2aREpKCi1btmTx4sVERkYCcPDgQcyldsaOHTsyb948Jk6cyIQJE2jQoAELFy50PIMIYNy4cWRnZ3PfffeRnp7Otddey+LFix3PIAL4+OOPGTVqFN26dXM8mPHVV1+t6u5evMqOEOWVeSpv8XqlT65w7vvnZZ1vhKgyAVHxReJSzSGq6CJcmREiV8tKXyArmidQNiC6kG1Rdr2K5gRcqhGiii6Yrk7srtpXtp6yfa3ollnZi8+5AiJXgUxFQXtlA6JzBbPn2ucu1whR2aDkXAFR2RGi8x2/5wqIKtpPzuVcoxP1aW0AACAASURBVAxl31d2tKUyt/0qO4eorIqO+0sxQlR2Xyl7W7SiW2aXKiByNZpcNk9Ffs8ts+L6io/d4nxVNULk7gERwKhRoxg1apTLZcuWLSuXNmjQIAYNGlRheSaTialTpzJ16tQK84SGhlb6IYx/CpdjhOhCbplV5kAsO0JUNq10+Zfylpmrsirzba4q5xCVXcfVtild3/m2uasT8Pn6XXYOUfG6xXPjirfv+QKiix0hctWec90yu5RziC7VLbPSF9SKRinPNYeo7C2zssdDRQERVO5WUkXH0YWOMFRmH79Uc4jKHgsXe2u/MiNErgKiCy27qKj8KGBFt8wu9Ryi880DdFXOuco9161oKH9rvPgccSkConOdz9w5IJJKcDVCNH06TJwIx4/DfffZL2x16zqvV3oOUWVHTi7UuU4iHh72tvfrB5GREB1tX1azJrRoYf/b27tyI0SlJ7VXFBCVnlQNlR9yN5vh11/Lz4+5VHOIateG4nlxgYEXN0J0rnvuZcspTo+Nhexsexm+vuXL9faG3NyK211RAFLZSdWlGQZERdm3s80G/v4l+8D55hD17Gnfz0NCXLfH1cXmqafg0UftZfv5QVaW8zqX8pZZ2X5fcw0sX24vNzu75Phr1syep6JbZhWNiP7eW2YAN9xgT2venEr56CPIyal4vw8Lg+I5l8U/RrmYOUQmE7z2mr1P1aufv5/FPDxKzgnF55qPP7b/Xfp/Oahonyyu/6ab7P00jJLlc+bYP4uAs78aq12b/2/vzMOjKNI//p3JyZXEcCQcATkWQRSRIBCQlUuD6C4KKgiLoAgixAPwQNEFTxD4ebEislyyohwC7iKH3KIYAYNR5EZQzoAYkoDknvr98Vqpnp7unp4hExLm/TzPPMn0dFdXV9fx1ltvvS+aNnUXdr1NshwO4IEHgE6d6NyPPnK/rxHeBCJpY3X77XSuZmXEErsaIn1f/umnSgA029QSGkrPOGcOXS/7OW9LZlYaomC1IWJscs011AEXF6vKU6MGfRo3Bn780fg6rYbI28zLDKPG9PjjgNTSmTXKN96gj7xOm864cfSR1KwJbNpEjefqq9VxO0tm+gHLqNM16rz+/W8aJOXgbDQrMVr6aNqUhAhtPvX06AFkZ6uB4tFH6SP54w/PdLX5NSrzyEigVy/6LmP9eVsyGzOGPhI7s0szmxFtGmFh9D702pCbb6aOsbgY6NgR2LbNPY2wMEATU9C2UfWfNoIl/POfwBNP0Dn16gHvvENlqq0jERHuQrSRhkg/SGvPs9IQhYdb23hERdEgIdHEWgRgb8lMb0MUE0ODjdMJSJcfiYnA6NH0e9OmNIA/8wzl4dprVVrh4YBuMwpeeAH4/XdzmyJvglNyMn20+GNDFBICaFcIMjKA3r3p/JtuomMRESRMyvcNAK++Sh8t/ft75lP7bsLDldBVo4a6v77t61cgpDCjJSyMykgIEpi0zwTQPR56SH2vVg3IyqK6YQdtWfbsSUJ2WBi9r1Wr7KUh8XfJzCB8FgDKy6hRVH9btKA2rW3XQqj7+KIheuEFSvNPk5nyBgtE5QU5CIX5GJyySRNqhA0aGKvcn3xSDdTSxmrMGKq4cjCvU4cGYIdDzdCvvtpTIHj0UbJhMnJd4E0FX7060Lmz5/EBA4BbbqH81KsHDBlCZVBF+fDAbbcBixdTQ2rfHli4UP1mJfjJTsyK7t2BDz6gdFq3pmPp6d6vmz/f+ne9Zuf99+n9yI6gVy/qaBwOGugAIDYW+NMju2E67drRYOJ0upePFjsCUXg4aVeEUJ3cTTcBDz5Ix+LigBdfpI8efceYkUHaQYfDU3sJAF9+Sc8gBZfkZODoUTo/2iIIqpwMSPQDsxEREcDw4fQM111H5WpUPz75hARemaebbgJWrKCB9ZprgEWLPOtz3bo0SZB10BuvvkoCs14YqVkT+O9/STCqU4fKvLCQtHuJicA337iff8st9NEiJyHe0A/6M2YoLZpWsJQkJCghy0yIqleP2qP8HyAhpaiI3n+lSiQoO51UlkbExwNLl7ofa9TIfNLnDb0N0cmT/qWjp1494Icf3I/FxJDW0+Vyr58A8Oyz7t8rVVIaQ7mZx6x9/rmpyDYvvAD8Gd4KVasqDZpeu/vll+5Cil2SkpQmyAghaGwpLqZyaNaM7iv7MsBYQ2TUp5QjAh7ctaJSVsFdS5WcHOosnU7q2O6//3LnKDAcO0YqcKltCgkBvvoK2ENOKdG7Nw08pUV+PnDxIv1fqZISLK0Qwl3jV6mSf/c+c4YGVjlL9XbvQ4eAc+foni1bGg98DHMlUVBAbbS4mCYKvk4qy5KCAuD8edUn2O0X7OyGtYN2+dxOP3YpfPUVcPw45b13b//7QD/wd/xmgciEciEQff458OuvNOA/8ADNIss7ZjubygPTp5OAEREBaOLrXdEUF6vliiZN3JfXAsG5c6SBcTpp1mikFSwt1q8Hvv6a6tugQdZLnKXNb7/RvZ1OmhU3b1529y4tvviC3pfTCdx3X+DuU1xM/ZjTSX2Y2TKNHb77jgZYrfbFGz/9BMgNNrffTkudO3dSvipVsm+nY8TFi5Qfh8PThq8isGIFsG8fadlSUpRNlZ6sLNLsCkHaUr12rJzh9/hd6kFErhD8jYXiN0eOUDyssWMpvpcQQtx5p1yppVg3N98sxAMPlE1+du4UYtEiIRYvpvhURvznP0KkpFCcqPr1hXA6hahbl36bOlWIzp0p3z//TGl89pkQS5dSPKay4L//pVhls2YJUVxsHrenNJg+XYi2bemzY0fpp2/G8OFCNGxIMb4yMjx/LyhQdahTp0u/3+nTQvz4oxC7dwuRk+P5+14VU0kMHmw/3RtuEKJBA6ovQgixaRPFa/vXvyi20w8/UEyzzZvVNc8+q+6lPV4WrF+v7j1kCMVoiouj+FulictFddflUt8LCigeXW6uOu/MGSGuv16IVq0oDpwQ1Kfs309xwoxo1Yryr43fpWXjRiHatxeiXTshFizw/xlMYpB5ZelSqt/Dh6tn0MfGs8OSJer+U6bQsT/jyZXEfXv5ZcpbcjLFlbRLu3Yq7YICIS5epJh6l0rTphRn7d57Lz0tK+65R+X/2DF1XFvnhDCPQegLLpcQ584JkZ3tXncDAMcyq+gcP067ygCS1m+/3d1YcPt2Mio9d863dL/6imbSAC2hNWumfBk5HOZLKvPmAdJv07ZtyshXy/r1wIcf0v+1a7v7Idq/H5AuFf74Azh1imxNADIS/b//o/+/+46WusLCyEZm6VJ6/qZNgT596Jxjx6h8QkLILsHK9kTL5MnA1q30/+DBxjuVzp6lj9NJM58qVUi9m5tLGof33zdOu00behcNGgAbN1L+tm+n33JyPM8/eJCeKyyMNDW//kqzVCGAG28k+4tjx4C//pXeS69ewFtvuadx/DgZf7pcVFbdupENz5Ej9Ls3Q3rt7hlp3BsSYmwvsmUL2dIUFZGdi7SbmTdP2UosWwbcfbf7dXrV/pIlNLuMiCAt55EjwPLllIcOHZSdwtGjVJ7SrmfhQrLtAsgmZfhwZcAtZ+RGNgpasrPJONvlouXDoUPp+IYN9FxVqpCReEYG1UGnk+6/cCHZXXTp4mmHY/ScDgfVb0C9+4MHgcxMuk+7dqqMz50jW5mwMLLZOXpU2TNddRXZ0LlcQN++pM174w2lzVy+nPoFudTx17+SjQhAbXrXLvq/8Z/hEHr1ontVqkSajHXrSEMKAP36GT+Xlt9/B779lv6/FLscfZ347TdqP0KQPdKsWVQv5Pu54w4y6P32W7J7AshO6S9/MXZHoWfgQCrT+vVVPyMx0+B89x2wejX9n5dHfcyvv1LddzppE8VTT3lep11gadcO+P57erd69yjeaN2ayrh2bUrjwAE6HhtrfP6mTaShBIB//MPYfg+gNnTxIj2P1gBcYuaR/rXXqO04naRF0ts+aQ3p8/Ioz0VFZCuqNfbXkpurbFS7dKF+s5zBAlF5wVtwV7kurm1ohYW0pTQ0lAz9XntNbS91Oqkj/PprQPprat2aBKLYWGok119PHebChUr4efVV2r5rtJIaHU1GmS1a0HVGvk98dcy4aBEwdSr9v2wZ7aABSCiRAtGcOcCECfT/6tX0vAcPUqf4wAOk5s3IoIEXIEEmMtLca7L2+PvvU8MHgJUrabfH2rUkxElVeno6dQoA/Z6YCPzyCw0YRuv5QtDAOHGi2oo9fDgN0M2aAXv30qA8ZAid/8EH5FahoIDSBdTAtX49dY5OJz2XHBzHjCGBSL/rZ+tWSkMIEkCN7AQyM5XKu2dPeu7nnqMlRYeDBs7du+k7QIKLFIj09fSzz8i4UgiqZ4mJ7mU+dixw+DDd74EHSD0vl+0mTFACkV3HjPJcI8d5Z84oQ/q//53qtKzXd92lBtz77qMyaNKE6tH69TSIynKV14SFKYFo8WKaUISEUH3VGgwb7e588km1U+j339XAtnMnGfIDwPPP04TixAkSxpcvV0KfLO/S9EP06qsk6ALAPfeo4/Ier72mfv/Pf4wNgBcupPfscACvv07lXKsWfW/ThpambruNyqFjR9odqPdDJAQJggAJRwDZ1chdco0aGedflgHg3ob/9z8SaEJDqR0tW6b6N23eteiPGbkCuHCBBA+AJj4A9T9TptD5o0YZuxyQ1x88SO0eoHJ64glqmx99RNd17Eh9LUB19/RpY1cWAAl2p05RnZw4kcrqtdfotw4dSCB64glqnwkJ1O4A4KWX6Lr69UkgmjyZhPJq1aj+efM3Jtuavi7IPsTpJOFGvru+fdWml/37qc9zOGjSV1p2UAGEBaLygrfgrnLmrBeI1q6l/3NzqaJX/zMi+u2329+6efIkkJpK/5896/m7dnuyy6UaqV3v2lYdua9+iEJDaUa5aBF9v+MOatwTJiiNQnq62glilAdvjhn1fP+9Epri4twHfbNrc3KASZPo/3vusRfCwmhL84cfqi3Bixd75lt/zXvvkQ0PAPz8s/tOO6P7SHJzlXajuNi+p+pz52gmLZ/ZmxB6qZ6q5blGjvNcLqX9LCgoXceMRUWUhlG5WwV3lddKrDxVX4ofIn9CP+jr7A8/qP4kL8/4XWVmkkAPKGN/2WecO0f53rGDvktbIbM6of9Nny+jempUPz7/nFxsAKSx1Nc5o3al/27X2evJk0pI6ttXnWPk+PXCBaUFkQL0kSNqp9XYsUog0jsslI5GZfrz5yttn9mOtOnTqa7deKMSiPTtavp0aq/x8SQQ+RPEWQjjWIqAe5t54gmyUwPURg9JOXXMWD7FtGDEm4ZILm2ZOYsLC/Pu6dYMI0HAznVWQpxdDZH2GbTajEvxVC3Rdwa+Bne9lP0G+lmx/t52BSJfPFU7HL77ITJzzFgascy06Vyqp2ojX05WoTvMrtGmbSQQ2Y2n580/lFn56f1uaZ/XqGyM3q9Rvi8lFpZZPbGTH6syl9foy8quY0YjjLS8+jpptaxmJmzZCTlidExbb+04jPXmmFHvQNFOuWiFMv013vwQmQnudgUiwHwSoS+rS43XVgawQFResKsh0sYys6q0vrit12I1OFvluTQ0RNptmVaDsLeORy9M6GeB3oK76p/XV8FILxgYddL+CERGnqq9CUTeBCQzAcTfmWNZaIjMwpbYGZy113kTiMwmH3rtlFXoDn36l6oh0t7PrgdxM7z1B3bqqDdNnvYvcGmxzOT1+jT1/ZBeG2vVfuW9vAlyRu1RW+es+jij++nzpff67E0gMiojo2vMBCJ5jp2JjzeByEyo0pcfC0SMbbwtP5ktmUlKK9q91aCpxxcbIrPBSfsMdjVE3jxVS/QzJ20gQ/lbaa1r68so0Bois1lsaWmIzDo5q+CuRvmxG8vMapZrNtjoO1w7g7M2bV+WzPR13aze+LJkZhXt3qpOGPUPdgYbu0KH0Tl2BSJvgoW+jtr1qK8XXMwEIm3/4Iuw5U98RO3zl7VAZJW2lUCkf35/Jj76c80CIrOGiPEbowomK6XTaW/JzF8NUWksmfmrIbKzZKYvG181RHqBSJtmIAz9jDQlVktHRoONUcdv1HnpO2grgchqGdXfJTN9Gt40RGb586YhsrOkURoaIrt2bGY2RN6WzAKlIQr0ktmlCET6yYFdwc/KhshqyUzf1oyeqbSWzIxsiADfBSKjeuMrvmiIJHYnPlrsLpkZ2fhJWCBiLLHSEIWGugtEssJbaU58sSHSEigNkZ0ls8hIdS8r9a2ZbYgefWdgZ/aqxZey0B83WzIr7eCuviyZWeXb7pKZlYaorJfMvGmISnPJzEpD5G3JzK4NUVkLRPq6YfXdrC34ausVCBsiXzRERs+gTdcs32ZLZmY2RP5qiC7FhsgfgSiQS2ZWGiLeZcZYYlTB6tWjnTthYe4zV+nPRr9k5o8qGvA+E7STZzlLKC72vNauDZEMbFhYaN+o2qrT03cGLVrQIKfdsh0IGyLAfMmsrG2IANryC9CWf7P7+Ksh0t8vPJy2TbtctNXc7pKZ/l2ZGWcDqmwbNqTt6S4XxXPSYjY4a5/Vm0BkpaV0OsnmzeUyFh7L2obIV4HI4aAyi442D3Xha79wKTZEZvc1+80Xo+qaNclnkxDk3sAIb31KaS2ZmU0IStOGyKpd6e9dpw65FwkNddfQ+ysQWWmIKsCSGQtE5YWaNcmfQ3GxCpr4v/+p32fOJCdyZhHh7dgQ+bJkFhmp3LibVd62bakzLS4mp2X5+erc229X8cRiY2lbt4yeru2A9c8gBT0zgUg/wzRbogNoi3xWlgp5YuRk0WgW6A9duqhnb9RIxT7T57m0d5mlpJDAIwQN0Pp0nU4KJqrFVxsiX2wLbryRtvtLZB22em6AHPC5XMo/UlwcORiUQpbRgPXUU+7O8qRvG4k/NkR2jap79VLv+MIF8mnkdKLEQZ6dJTMrGyJfBaJ69ciJY3GxsVsII6TjVDP+8hdyN+FwkEBhlB87WrkGDciXlstFfYrd52zRQgnz0o/T/v3WwoeRQNS9u/L9JDl2jO4p0+nWjQTEkBDlPNDOktn8+eSzzOFw3w5vR0NkpOWS+XnzTTrmS0xGO7vM9O1V34Yk+nbesyf5y3I46B1KVxvyd6N+W/9OWSBibNOtG33MGDbM85jVtnvZEOrWVc7vZEO3QlbiN9+kjxWvvGL+2733enr51e6Qk0RFUaMvKqLBqGVL8oHSpIk6x18NkfTQbYVRp/foo5RXGZneiMmTlUdbgASiLl3U7+np7unqNURyRqbt3OvUIT8hQqjYWNpOs3Jl8q/kdCpHcXfe6Z4vXw3rzQSi+Hjl9FMb3X7SJIq0XVxM5xw6ZH2/+HgarOUzVqlCz+ZwuMe0kk4TJZMn00eyYAGVRUiIeVBKIy3X7bdTmRjFqzISOsPDgeRkak+tWqnjVp151ark0ViLr36IAPIhNmECHWvZko498AA58BNCCTrLl1N+qlRR19aurZyaSlatovvJe0RHKz9ldmjalBz7afEmEBkN+OHh7nWouJgEYKeT8g1QW3vqKUqvQwc69uCDnuVq5LlZ3z/07UsTITMvz0bpDBhAHy3x8RRRXgh6B9pnAij/N96ovr/+Oj1DSAiV9bFjnvc1mxDMmUPlIvvokSPN8w5Qv37TTfS/jNVl1JabNaPJqJknazOeeoockRYV0b30gWj17UEKRFZLZnXrkr+74uJyGwuNg7uaUC6Cu3rj5EnymltURELPvfcq7UvHjsq1u54tW6hhV6lCjWrbNvJW7HCQh+gbbjC+7osvqDJXq0YBEsuKvDwVzTo6mgSxDz+kRrZsGeX34YeB2bPp/J9+otmlHc6dUw4Fa9c2Hmz/+1/lFfb551UIEisOHqQ8uVykTejXTw3oZmp7Ix5+mJy7uVzkINKbUPvEE+TI0eGg9y+XybTk51PHJAR1TNdfT55+f/6ZjiUn2xOeAfJCvW4d/d++vXndKQtkeAq5NCIHDCOEUFoZl4vaUHGxWrbVc/gwOSQsLiaPzHXqWOflwgVKMzSUBhKtQFxQQB9tXXM4Ln+U9vnzlSD/4ovGdWDnTqVZuuMO0uJ98gmVZVwc1Z1XXlED4ODBgc/3mDFUn4uKqK3ol09Lk6++IkeQLhcJUFqhWc+JE8Dbb9P/SUnUt/70E5WJw0F9gt1gy488QnUwIoLub0TfvtQGEhKUl3k9999P40ZMjKfm2BfOnyev+HJF4+qrlaZIalk7dgS++Yb+LyoqU60QR7svZSqEQKRHCGqwTicJDnajQV8J/P47NVKABiuzGG0MwzBM4MnJIa2REKSZvBSTBJ9v7d/4zUtm5ZlBg0iDUasWhaWQM0u51q1Hu9Zf1qSnkwv/4mKga1e1zVLaowS6MVSv7n054Pnnye1+cTEtJ5Sm2jYvjz4Aad7KarZ//DipxB0Osl0y2r3RpAm9ixtuoOWWQPLDDyoo5D33eC5DGOFykW2I00llJ23ovPHaazRbdjhoSc3XZYFLYds2YO5cynOfPtRGpfZUBlctS/LyqK8ICaH+QdrNWfHKK6R1cDhoyUZPURFpHIQgzYTZUqU3fvsN+PRTKqsWLcgW0l+mTaPnrFzZ2PbFiJUrVeidsWNJkz5pEj1fXJzncq0vrFlD2sCICOBvf/M/HT1HjyqNpd324A+LF1PYk6IiilFnpvk/dEgFZe7USZlhWFFRFAlaBGNIdna2ACCys7PL5oYffSTEDTcI0bq1EGvW0LHatUmxn5AgxJAhUskvxE8/BT4/H34oxEMP0X2PHjU+5667hPjLX4Ro0UKIHj1U/jIzhXjgAfV9/34hLlwQ4tFHhRg2TIh33w18/oWg+91zjxBDh9L33r1Vno4fv7S0f/5ZiIMHhfjlF/o+frxKW74/X8nNFWLfPiEOHBDizBl719xyi7rvxYvG5zgc9Hvbtv7lS8tnnwkxebIQb74pRE6O5+9r16r8vPCCvTRzc9U1t9xCx6ZMEeLOO4X429+EOHVKiOXLKb3nnlNlM3iwum7Pnkt/Nl+YP1/d+4031P933OF/msXFQmRlUfuRZbtvnxCrVgmxerUQZ8/SsY0b6T2sWKGuXb1a5WH8eDr28cfU1qZPN75f27Z0vsNh/Pu6dSrNceP8f67vvlPpPPqoeq49e6gdCSGEyyVEURF9iovp2KuvCtGwIX3S0uhYgwaUTlyc/ft/+KG6/3vv0bGICPreqhV9HzNGiJAQOpaaSseKi4UoKBCisFDlSU+TJnRNbKwQO3fSe1m6VIjz5+3nr7iYnu/771V5VK1K6bZoYT8df5gyRZXNp5+q49u3Uz+2fj2Vwf/+p8575RX/7pWZKcTChUIsWULPGkD8Hb9ZQ1ReOHOGZtcABU0EjP0QAcowU79bxog5c2iHGkARkzt2pBlTcTFJ8J07k1pTajciI2lWsnWrmjU+/jitS0tblqpVyV7k11/JViYsjNaQJUY7LAoK1C6vHj2Axx6j/597jmZDkZFkA/TggxQAsVIliiwNUOTtn3+mchgzxt24z4pVq1QgQ8B4Z8rGjcCuXTR77dePDLxjY8kos1kzYM8e47TbtKGZatOmpN3wxsKFQEYG/f/kk2QP9MEH9A779KEI4bt3U7oAMGIEBWrVcvYsRWovLqZZ2quvGu/OMUOem5ur7H7q1iVj3Z9/ppm8NOg9eJDyVVREmsoJE+j8//wHWLqU/r/vPjr/xAlKu2ZNz117L79M5etyUST0X3+ldy8E2VaNHGns+iAtTdlK5ObSbrW5c+n7P/5B99IbbebmAtu30/e4OHp/0ki/WTO14+3pp6kMExIoYvnq1aQ5DAkhm60HHqDI43XqqOjvBw5QPQ0NJbsRb7v/tmwhW5uiImDgQGVUvHw5BT8NC6NI6B9/TPeKjKSNEwkJdF6fPqRVmTuXdo8BVFe7dKHzDh2ievr77+731eZn0iQVEPTRR6m+HDhAv8my1NYLPUYGwDk5KoJ59erUL/3wA32PiiLtWFYW5cfhoDwaldV111HZJCaS/dqOHUC7dvTb448D77xDz3bkCB2TGzKM3DLoadcO2LeP+qkTJ8yfSYt2K7lM++uvgVtuof+ffpqM/IuL6XfpPkDbB7/5pgrEfOAAaWa1uyvNbGhyc5XBfNeuKnK8zJcRc+ao/nnqVOqP9bhcalNBixZ0nh4z4/8XXlCBfrOyPOtCZia9s5AQ6vtXr6YxLCKCrjXi8GHqYwHj/q0cwAJRecEquGtIiLtAJDuHdevIiDEkhFTC//wnGcpJ4+Nu3ahD2LaNzpeC1r33UiNs2ZI6s9mzqcMEgHnzaAA0aoh33ul+nXarqH5Q0F9vtk129WpKKyKC8rF9OwkhWsPIBQtU1OTHHqNBZfFiSueVV2iAWrdOCS8DB7p3xPrtyto8LF5MgglAy41yUJfzIQBYsUINSs8+6101LgQN6A8/TPccNIgEiR07qHN68knq6OV9GzcmgchIuHn+eRKUnE4y0JSRtuUuGf01H35IHaoQVDZXX+25G+jMGRJGABJqFi2i5Sc5SO7eTUKy3EH222/qWn093bBBGZlPnOhuZOp0kmAgO/iiIhpQZUcrI4B7295sx7+Nw0G7ejp3pu//+AeV+cGDJBBphei336a8tG5NAtGXXwJTptBvycnUcWdkuG8hnj1b7Xr78kvvjhk3bwbGj6f/k5KUQLR6tYrM3qcPpbt3Ly21DR+u0rFyxeCvH6I1a2iiA9BgqhcO7r+fBHeA6qeRQPT++yqS+rJlJKDJwTw5me5Rvz7Z8117LdUlK19fpeGYcdAgmpSEh1N9u3BBbZQwS1t/zFs4IJlfucsSIAFbnmPkqfrHH1V7eOQR2ll34AAwZAhdd/fdNMEzqkv6HWN9+tC1EREkQB49qt5lVhb9TUqiSZN28irbmrSv7NWL2klMDJ3jr2PGXbtoYgvQ7sbPPqP8xcSo8pk1Czh1iq5/7jne7VsWtwAAIABJREFUds/4gJGjK63AoXXMKDVEstLK2RhAwk5hIXX2aWn2OxqJL/6LrAQi/fXeHDNKmxv516px7tundkhITdPHH5MwB1DHHBvr3llp/wL2PFVLMjJU53PmjPE5+jLKyVE7dm691b0jF8K+H6KtW5WWYto0z/zrhYlt20gQAGiw12ru7ORbHrPrqVqLEN6d8BltyzZ6B1b+bYwGLK3XYO1zGYVxsPJDpJ18WPkh0t77cnmqNgu1UFqDjd06qv+uF1qM3q+deGNGfZGRQLRrF2lcZd+hf+d28mwnTqDRMV89VV+4oHb/StcKRh6c9WVw6BDtULOy45JaXquwRLt303nSftLfIM76+qYPNwWQ8LxzJ72XCiIQlU//2cGIlYbIbMnMKMK1kW8ViR3HjEYdn7c8630DGXUGZk7y9AKRfA5fPVUboXdKZif8g5ZL2YCpb/zae/siEPnqqdrKD5HVu7XS6PniqdoXgUje045A5E/oDm16vghEsi5aear2tmRWkWKZmWGnjtoRWqwEIl8mYEZpA+79kNk5+rTtaIi8he7QPr9dgcioTI3enT+bUPRlameyZya4+yoQGbUZvYaeBSLGNt40REYCkT50B2Dd0Zhh5izM6HejPNtZMjPzLq3vzIxCgNjxVG2Ub18FIjNvrr6iFwyM8nypApFZp22kgbES9MwcM/o7c7QSiMye22jg8VUg0tpzaNMpLYFIXwe9LZnZCd1Rmp6q/Qnd4a2e+yoQ6cvcLJaZ9hxfl8yM2oVeCPUnlpk/oTv0NkT+hu6wend27LvM8mhHILIz8XE6/ROI9Br6ChDLrHzmKhixG9wVUDZEdjREdjoao8Zl57pALpkB6vnMolkD1rNAOwKRkVrcCjtaNm36Ml19nu1qSnzREBl1XFqsBC8rgcgqCravGiKjAcGODZE3YcGbQGQ3lpnZkpn+HH+XzAKlITLqC/T4qvH0NlHylr/SXDKzEnD18ePspK3HzpKs0TFtH+OrhsiofOzGMtOir8/+aojMJqp64dlqyczl8nwuI2GSNUSMJUYaIq1RtZUNEaAECTvqYivKWkNktmSm/U17Hzv2JBJ/NUQSX5YP9dd50xB5Ewz0nYiZYbH+GqNBzOq929HI2F0y0+YL8C4I+mJD5O+SmZENkf6cS10yMxpUzMqvNG2IpD2a0TP4ird274+GSD6DkWbA337KqH5o+0m7aVv1T2ZG+0bH7GqIjNqi0bszsyGygy8CkTzH25KZXsiU15q1Ge213iYe5RAWiMoLRip5WaF8WTLTNwpfNUS+XOeLhkgryNhZMgPU8+nPKU0NkVGn58+S2aVoiOyo6O0Kgr7O6o2OWS2Z+WJUbaTZKU0bIl80RFZlbNa5yy3WgPWSmdFgakdDpF8ys1snjDSF/gw2gV4y81dDZIWvGiIhSnfJzKzOBcqGqLQFIv079zbx0Y8rMn0rgUj22/r+twIsmfEus/KC0UCTkkLHGza0b1Ttz8wrEDZERsiBxN8lM6PZitm9AE+Vbc+etK0+JET5JrKjVvaH0rYhMhKqtNcYCXPyt2nT6H8ZOdvO8oS/tgWNGpELB5eLPGN/+617no00Y77aEMnz772X/Ku4XOQDR24/1qZjRyDS1wFtWyssJO2svn02bEjuBlwu2mYuhQNfbIisNERWdULf1kJC/LMh6t6d8m51jrf82FmmjIyk8nK5VHw0q6V9K0HtuuvofWg15mYaIpluYiK5lRBC+flKTKT8yVh/dpfM9HWlShX6VK5ctkbVVjZEviyZNWtGW/9DQ1XZAJ59brVqKhRUXJz5kpn22gqoIWKBqLxwxx3k/r+oiCKZO53u26xPniTfJuHhKjSA0ZKZUSfvDaNG2qYNbR0HqDEY8dprtI20alVyZjdjhlpGef554KGH6DwZ0frvf6dG0aiRSsPOkpm+w/OmLZA88ADwxx8qqvqdd3pGhy8tG6KHHiJfQgA5a9y40T1dOzZEVoKKkT0OQD6Z8vI8DRi112r923i7jzxmNqA3bqzCOWivl2m0bu0eWFL63JF5NtKC1KwJ/PILXS+3Fd9+uwqgWrkyuQ/o0IHKUdbH++7z/lz6wdkXDRGgBCK9hqhnT/pIjh1z1+T6oyEyer/a8pL/h4fTRysI9e5NwWyLi5WQ06AB+Q0z26r98svGxyXXX09uHxwO9S7sCET6ZcqbbybfTlrs7DK75x7lq+rqq+nvggWe5+uXKfVtrVUrzyCsWkEdoLp0ww2Ur9at3fOvzZP+mHR0CQDjxqn3YoZdDWlqKh33JSaj1eqAWd92ww3GAZn1S2rt2pFfJcmiRep/Mw2Rvk8KCaGJS3Gxu0BbjmCBqLzQtSt9zKhTxzPCtpWGSFbGzp1VQ5GCVHg4VUq9EKXl0UeVs0YzpMBjxLXX0kfLp596njdgAHXaMl5P7940awkNVfGYbriBHE3K70YDhxb5PO+8Y51/gDRFTZtSecnyWLSIytYqHlRaGt1bXlO3rnsUe72GKCGBOnfZWcbFkZM0h0PNUm+6iQYOIVQcIL2G6Jln6H8pVGrvqX12fR7054SH032MDHAdDhI6pk2j3+VgBJC/J7P7GdG1K707p5PKMyyMHFM6nUDbtnROSAgN3lqGDXP/Pny4p2Bnh5deIgFOG1dJOsFs0YK+N29ODgaLi0m4HzGCtD9hYe7LZxKjAU//HmrVovcZGqo0cwBw442q/TkcdE5MDN0nMpIGQqeTygwA3nqLPoBq0+vXe94/NlY565RIz9za59a+S29ERZEQqsVKk2OmlTMiLY3+yvK97jrlPV0KdDffbC/umX7JbMIE8nKtn0RY0aQJfbS0bUtlLTWfgLWQ8dpr9JHIyANajASiq68mb+VaQUE68jSjUyflAFH263qBKCKCfJG5XJ59sTcOHPDU5mvR928tWpCGNjTU8/3LfCUnK+fA5RSOdm9ChYh2f/QoeWcuKqIZUL169Dl3jhqJVqK34vRp5ZW4cWO1nKSnvKg8N28mocXpBAYPpkHl2WeVs8Y1a3zr+L2xY4caXO6+W80grdi7l7y3uly0NCHDEvjK669TANeQEHeNoRkLFlBoFoeDPJfLGbY3Ll4k7YUUxuy+34sXlbPKmBj6XC5cLvUMeru7S0XaTciJRDm1gbgkfvhBhZfp1Ml4QvDbb+p9169Py0Vnz1L5hIfTktgPP5CWIDxcOR8MJP/3f6Spjo4mYTuQHDpE/a7LRctucgnQiPPnVSiZOnVI8P7tN/KU7nBQP9K7t737fvghXRsaav6M8+ZROVSpQiGQjJgxg8aHSpUuvaxkm9AvaUvuuYdC9VSr5q4xLwP8Hb9ZIDKhQghEjG8UFNDyktQElFVE+svNoUNqwNJrYioyf/yhOuSqVf0zhmeufHJzqa4AVE+svD0HIy4XTaodjiumT/R3/OYls/LCuXPkXyg0lGYdmZmkqQkNJdub99+n9fyCAlriMVr3LWt+/plmypGR5Dp/0yYaoEaOJPXpyZPUyLp2tV5+Kiteeok0LgCpwrt1K7209+yhEAIAza71y5uBYuFCmqGHhVG8JCOuu47q1g03qHAigeKjjyiGm9NJS5ZDh3q/JjubZrcOB2m0kpPt3eu++yiAL0BlUL2639n2mQ8+oLhWDge1zQMHaOC96ip7z1za7NpFy1AhIRSQ1MpYWnL33SrOoQxcqyUzU8XFa9LEnmbUiNRUKiunk+KOydh33jhzRi2xJCRQPzNiBGmgXC7qD+1o6ubPV8utc+eSVvmvf6Xnat6cgl8fP04hgVwusp2Sdo/eePJJ0pLGxVHswNLiP/8hIa5aNTIrCBSbNilTjbFjKR6hET/+SMtvQlCAVv2S9pWCCCC///676N+/v6hWrZqIjo4WDz30kDh//rzlNbm5uWLEiBEiNjZWVKlSRfTu3VtkZGSU/J6eni769esn6tWrJyIjI0WzZs3E22+/7ZbGpk2bBACPz6lTp2znPTs7WwAQ2dnZvj20vwwcKDeICrF/vxAnT6rvd90lxObN6vszz9hPNzdXiKws+hQW2r/uySeFqFuXPgcPGp8TFkb5adWK8iTzt3mzEP36qe9HjtD57doJ0aCBEB06mN+3uFiI/HwhLlwQoqjIfn6NiI0Volo1ITp1ou8vvqjy9MUX5tdt3izE2rVCfPWV+TkzZwrxr38J8dFH9P3VV1XaK1b4l99ffxXinXeEmDZNiG+/NT4nP5/eaW4ufW/Zku4ZGWmebkQEnXPDDfbz4nIJcegQ1UX5/oQQon9/Ibp3p/drxNy5qhxmzLBOv7iY/v/5Z3VN//507O9/FyI0lOrY778LMX++EDfdJETr1kJs3Ejn3H67uu73343vc+IE5V/7DN44e5aefe9eIfLyjM+ZNEnde/lyIaKj6f9mzezfR4/LJcTChUJ88omqn4sXC/H440I88YQQx47RsZkzhXj0USGGDaN2rc/PsmV0bMQIIXr2FOLuu43vd/PN6hqjvmH7dvV7Sor/z/XppyqdKVPo2Jw5Qrz5phDvv0/fz54V4vPP6bNvHx177DF13fbt9vIsBF2fmirE1q10zvvvq2vmzqVzHA763rYtfZ82TZ3zn//QsZMnqS1//jnVByOuuoquadqU3pl8L+np9svn1CkhXn9diDfeEGLdOjoWH0/p1q9vfI3sIy9cMC8Hl4s+VmzZop776afV8aefFmLUKPW+vvzS+DxfSE0V4sEHhXj4YSE2bPAvDZv4O34HVEM0YMAAnDp1CuvWrUNhYSEefPBBDBs2DB/rDTM1jBo1CitXrsSSJUsQHR2NlJQU9O7dG1v/DK6ZlpaGWrVq4aOPPkJCQgK++eYbDBs2DCEhIUhJSXFLa//+/W7qslpyt1F5RL+tV//dyDHjgQMUlTo0lIw19UaVAGlE5Mxl7VoKNPrkk7TGX7cu7QY7epTsZISgdBo3JqPEEyfc8/b883Rd7drA6NG+OWYE6D6nTilju3PnaDtuaChFTv7oI+Dxx4H33qPfv/uO1ulvvZXWxhs29DTqtSInh1TBFy/Sd6OttS+9ROv8DgfdPyaG1r7PnqVyOHSInlmWeXg4aWOefppmr9dcYzyDy80lG4KQEFLTv/MOzcZcLrIHOHyYrhOC3Cs89RRF7H7iCbr+hReM7Y6iokjb06oVaeWMdnvp0RtbZmSoOpGURJHhlywhLZfDQXmoVk0ZmSYlAd98Q/9/9RXtqJIasKNHyVZKCDJC1e+YSUmhGbrLRe9Tu0vy/vvpfRrtsiksdN80kJFBdRSgegN4XnfyJPCvf9H39u1Js9qtG838o6NJa5mXR5oOh4PKd84cqnNffknvav16skebPZvS2bWLNGwzZwIHD9I5EyaYe+SWx1NT6Z0WF5PGaMgQOt65M9WLhg1pk8HAgcrWLz2dZt8y/7fdRrYXM2bQsUGDyEZw9WraXQgA48fTsxnZ9331FeVfamfvuIPeAUDtUIsQlA95vFMnYwPg776jeudw0C67qlWpvTocpG3p1Yvyd+4cHbv/fmP/My+9RPYlcXGkvdm1S+0AtdJUGG2oyMxUO50qV6b+bc0a9Zu3XZXaMtOm+8031BcAwBtv0IaGn36iHZEOB9Cxo7vh8M6dpC0EaJdkw4b0DgDScLVsSefLXaEhIaT1On6c+laAtOvdu3u25zNnVHuoUweYMkUZVa9YQWV3/Dj1U04n2VAePapsKfv2JW1yZqZaZq5Rw3w35HvvUb95/fVUj/V14ZtvgKVL6Rn69qV6umQJtdtPPlEbRbQcPEgaOoD6L6tNRJeJgAlEe/fuxZo1a7Bjxw60+dO/wbRp09CzZ09MnToVdQyWFLKzszF79mx8/PHH6PpnYc2dOxfNmzfHt99+i/bt2+Mh3c6mRo0aITU1FcuWLfMQiGrVqoWYy2nk6Qv6bb3670Z+iD78UC0BbdhAFWzsWKr0MTHA5MnG95o5kwbsli2pIX75JW1RB6ghjBjhfr5sDG+9RY35hhvU7gWZP2+OGeV52t8LCpRK/Px5+mu07X77dhJu5Lkff0wDjMsFvPsuLRVNmUICB0CDWe3a1o4Z5W/ffaeWXbRlrmX2bLXjbt48GpisEIKMm+XSyaxZpOaXnfQff1A5/vILfZcDvFHH3bw5Cb1xcTSAmPnVkccnTiSjTSGow+rUyTN/mZlqa3xuLglEixerXYAPPkiDrNxWbeSHSJblgQNKiBs3zt2Y3emk55TvtqjIXbC32nasLwtvfmIcDhrM5UA6YgQJREZOAvfupf/j4ujv4cNKKNFvdZZtbfFiamMA8OKL5g4o5fGcHCVE9uihzk1Pp3oshfSDB9W9HQ5Pf0Z2/BBp/+p/15KZqQyijQToN95QE46ffzYWiJYvd192/stf1GB+770kEI0dS88UGUkCkVHIBn8dMxrtopRLpW3b0hKg1S5UbzvjzPIkf//gAyV0y0mkTEf/Xn79VQl5Q4dSv3vkiJpo9O9P/YRVSAuZ/m23UR8SGUlt1oiuXak+SZMLI7cBSUnUZuU5dh0z6t15fP898Oab9P3669WkGlDtvU8f2rBTsybVm2AO3ZGamoqYmJgSYQgAunfvDqfTiW1y3VpHWloaCgsL0b1795JjzZo1Q/369ZGammp6r+zsbMQaaEdatWqF2rVr49Zbby3RMJmRn5+PnJwct0+Z4k1DZDeW2YIF5PtF+uvw1WbeyIeFEfrQBXY0RPpO0Cj/djxVy1lWQYE6Jz2dZqarV6sOw19P1f6gv9bKU7XeMaPV4JefT5+8PJWWUf7l+X/8QYPeb7+pwdzKP4mZHyLAM8iw9n8jD7ba/Mjf9EKoN8eM5clTNeBZB+U5+nvr34s3P0RGLi+0vogCIRDpMRJ4vP1uxw+RP56qje5r1YfI362ELZm+nT7QSOAuzdAd+nRk/vXnBip0h1mdsBu6Q99f2QndsX072XnJnXYVwFN1wHKVkZHhsUQVGhqK2NhYZMitnQbXhIeHe2h14uLiTK/55ptvsGjRIgzTGHnVrl0bM2bMwNKlS7F06VIkJCSgc+fO2Llzp2l+J06ciOjo6JJPQkKC3UctHfzREFlFuw+0p2p9g/BHQ6TNv5GnajPHjN5mc/rvVgKRlV8Rfzdg6jtqu44ZrTpg/TPY8VRtxzmnHYHIqqPUYvTcVqE7rAZMOwKR2eCkfQZ/BCKjtmYVy0z7frVaU4mRQCTvcTkFIm/4KxDpy6I0QneYaXKMJlX6tmaURz3eQncY1UutEG406bF6Dm1alxq6Q98HWE009Bg5YHW5PD2u6/Nt5anazDFjeXHbYoHPAtHYsWPhcDgsP/v27QtEXj346aef0KtXL4wfPx63SS/BAK655ho88sgjSExMRIcOHTBnzhx06NABb0kHZwY899xzyM7OLvkcO3asLB5B4Y8NkVW0e7uaHu01Wrxd500gMrrejkBkNGPRz7q9dTwOh7Fw4W1QNYv3YwcrDVFphe7Q/vUldIc+b0bvxmpgs1oy09/PTHMi82xXELRaMjMbsKwEokvxVA14j2Wmfy9G9Vg7s77cApGdOn6pGiKjvPmiITJCXw+MnvtSl8ys6or+vWs1tGUpEBmVkS8CkTzHqr/V/u5NIDLSEOm11xVgycxnG6IxY8Zg8ODBluc0atQI8fHxOCPXq/+kqKgImZmZiDdx/BcfH4+CggJkZWW5aYlOnz7tcc2ePXvQrVs3DBs2DC9I4zIL2rZti6+//tr094iICERcTnfi+g63QQO1jT0+3vuSWVlHu9c3iHr1aA0/JMTTOd+laIi0jc9ucFf9cVkmnTsDU6fS9dJtgZ1ZlD/4oyHyRSCSZVKtGtn7yM0DRulOnUp1pUYN8/uUxpKZEGRH0r495btBA2VXIJ+lNJfMRowgGw0hqN7Y0Vb4KxDJc5xOuk6G2nG5yM5L3+6MNET6SPfaPMi86d97IDVEY8aQHYvZNZcqEEkBuUYNqhPFxcpuy18bogYNyOuy0bszsndxucgLuQwhIzcq9O1Lf6VHaCMhyqhe6o+9+CJNUGvVcn8GXwQiI0EhOppscXzxgWdHINL35bVqAa++SveVTjSNJto1apDBv8NBmxK0Rvn+aIjK6ZKZzwJRzZo1UVPrit6EpKQkZGVlIS0tDYmJiQCAjRs3wuVyoZ2J197ExESEhYVhw4YN6NOnDwDaKXb06FEkJSWVnLd792507doVgwYNwmtaV+kWpKeno7Zd3xKXg9tvp50IRUVkOFepEg3gkj/+oN0v4eEq5IDVkpk/a8/a67p2JY+ngHGjDA+nHRXFxbRb7a67lGE2QIPElCn0vyz3O++kXWMyXTs2RN5mgGaxzBwOCi0ihOr02rRxD2AIlJ4NUUqKev7YWLUzSOa7tDRE+gFers8bPYNMTx+CxVeBSPueevYkGy3p50Z/vxo1lOClzbfMs9GS2bXX0q5Gl0tpQocPpzYhBB277jp6jpAQtYPlzz7C8rlKa8lMrxm76Sb6SPbvdxfcjJYi9IFdtXmQedPnt0YNEgKEUNc0bqwmH7K8xo0DHnvMXejo2JF2JJlN9Hr1Mj4uadaMDHAdDhVKxBeBSJ5/xx300WJn4vbII8ogXRoia2PjAe4Bfc00REZhhBYudP9+223kAT8kRO2C9KYhcjjIgFwyc6b6/1JtiH76yfh6K/xZMqtRg+qOFiGofhUVkc87gMr/k0/UOdKwHjCfROg1RImJdC+XSwWKLWcEbJdZ8+bN0aNHDwwdOhQzZsxAYWEhUlJS0K9fv5IdZidOnEC3bt0wf/58tG3bFtHR0RgyZAhGjx6N2NhYREVF4bHHHkNSUhLat28PgJbJunbtiuTkZIwePbrEtigkJKREUHv77bfRsGFDtGjRAnl5eZg1axY2btyItWvXBupxL53HH7f+vUoVcm6mpXJl2i1QVGQe3PWuu9TOHzmQNG1KRrryuJEg8NBDnrHKrr6atFN161LnbBVbykhonjrV/Xt8PLndLyxUGptbbyWtR1iYOvbEE9RpNGxI371piBwOGpDk1mkr7rqLysXlUmW4ZYt7rDcjzp51/16tmnsQXH1n1LEjPafTSQJTTAxt43U4yEkcQALAH38ojYc2HdmhLVtmHWfNmz0YQHWpUyd3YTE8XHnwlWmsXk33195r8WLz+xnRtCkJ104nlc9VV5HBv9Op4teFhnq6jNALO3biWoWE0MAtBE0oANoJk5Ojyi88nDRLQpDQDlD516hB79zpVIE+w8PJDQVA+a5Z09h2CvB8H9Wr05btkBCVhtNJQnNBgRoQbr2VJkIOB31OnXLXKE6a5NnuX3hBbbmWREV5TlzkFnDJnXeqZ7ZDRIRnTC25wUMKbw4H1ScpuMpzZEwrWaZ6vv7aXQDs0IF2YAFK+LruOvpYYTRhmjuXdnY6nfYdwsbHe4Ys6tOHtsALodq2lc3hoEGkeZLb6eVuRi1G7bNTJ3JxUlxsHkhbz513KtcXsp/UC0Tx8eTuw+VSk2g7VK6sHHaaERlJbVbGX2vRgtpNaKiaAOs1RO3a+R/CqIwIaOiOzMxMpKSkYMWKFXA6nejTpw/effddVK1aFQDwyy+/oGHDhti0aRM6/6kNycvLw5gxY/DJJ58gPz8fycnJmD59esmS2YQJE/DSSy953KtBgwb45c9tzJMnT8bMmTNx4sQJVK5cGS1btsQ///lPdOnSxXbeK2zojltvpe2eMTGe2gMzCgrUzqzIyHIbibiE3bup0wsJoRlkly60FVbuRHz7bWOBzF/271fRsTt29AwCacTOndTpFxfT7FjOtHzl+edpm3ZsrD1PuGvWkCDjcJA3WV+DOvpKYSH5iAKUZpOpmBw6RJo6gAbZihDiIj+f6rzUjHXsGNj77dlD/q5cLhLi/hzLDCkoULHhqlQhITk3l9wVOBwkOPy5euKVFSvIPUdIiLnn6m3baEIVGqomWXpmzqTt9jLwayB54QVa9qteneIqliEcy6yUqbACEcMwDMMEMf6O3+XTsolhGIZhGKYMYYGIYRiGYZighwUihmEYhmGCHhaIGIZhGIYJelggYhiGYRgm6GGBiGEYhmGYoIcFIoZhGIZhgh4WiBiGYRiGCXpYIGIYhmEYJuhhgYhhGIZhmKCHBSKGYRiGYYIeFogYhmEYhgl6WCBiGIZhGCboYYGIYRiGYZighwUihmEYhmGCHhaIGIZhGIYJelggYhiGYRgm6GGBiGEYhmGYoIcFIoZhGIZhgh4WiBiGYRiGCXpYIGIYhmEYJuhhgYhhGIZhmKCHBSKGYRiGYYIeFogYhmEYhgl6WCBiGIZhGCboYYGIYRiGYZighwUihmEYhmGCHhaIGIZhGIYJelggYhiGYRgm6GGBiGEYhmGYoIcFIoZhGIZhgh4WiBiGYRiGCXpYIGIYhmEYJuhhgYhhGIZhmKCHBSKGYRiGYYKegApEmZmZGDBgAKKiohATE4MhQ4bgwoULltfk5eVh5MiRqF69OqpWrYo+ffrg9OnTbuc4HA6Pz8KFC93O2bx5M1q3bo2IiAg0adIE8+bNK+3HYxiGYRjmCiGgAtGAAQOwe/durFu3Dp9//jm2bNmCYcOGWV4zatQorFixAkuWLMGXX36JkydPonfv3h7nzZ07F6dOnSr53HXXXSW/HTlyBHfccQe6dOmC9PR0PPnkk3j44YfxxRdflPozMgzDMAxT8XEIIUQgEt67dy+uvfZa7NixA23atAEArFmzBj179sTx48dRp04dj2uys7NRs2ZNfPzxx7jnnnsAAPv27UPz5s2RmpqK9u3bU6YdDixfvtxNCNLy7LPPYuXKlfjpp59KjvXr1w9ZWVlYs2aNrfzn5OQgOjoa2dnZiIqK8unZGYZhGIa5PPg7fgdMQ5SamoqYmJgSYQgAunfvDqfTiW3bthlek5aWhsLCQnTv3r3kWLNmzVC/fn2kpqa6nTty5EjUqFEDbdu2xZw5c6CV61JTU93SAIDk5GSPNLRQm03NAAAUA0lEQVTk5+cjJyfH7cMwDMMwTHAQGqiEMzIyUKtWLfebhYYiNjYWGRkZpteEh4cjJibG7XhcXJzbNS+//DK6du2KypUrY+3atRgxYgQuXLiAxx9/vCSduLg4jzRycnKQm5uLSpUqedx74sSJeOmll/x6VoZhGIZhKjY+a4jGjh1raNSs/ezbty8QeS3hxRdfRMeOHXHjjTfi2WefxTPPPIMpU6ZcUprPPfccsrOzSz7Hjh0rpdwyDMMwDFPe8VlDNGbMGAwePNjynEaNGiE+Ph5nzpxxO15UVITMzEzEx8cbXhcfH4+CggJkZWW5aYlOnz5teg0AtGvXDq+88gry8/MRERGB+Ph4j51pp0+fRlRUlKF2CAAiIiIQERFh+VwMwzAMw1yZ+CwQ1axZEzVr1vR6XlJSErKyspCWlobExEQAwMaNG+FyudCuXTvDaxITExEWFoYNGzagT58+AID9+/fj6NGjSEpKMr1Xeno6rrrqqhKBJikpCatWrXI7Z926dZZpMAzDMAwTvATMhqh58+bo0aMHhg4dihkzZqCwsBApKSno169fyQ6zEydOoFu3bpg/fz7atm2L6OhoDBkyBKNHj0ZsbCyioqLw2GOPISkpqWSH2YoVK3D69Gm0b98ekZGRWLduHV5//XU89dRTJfcePnw4/vWvf+GZZ57BQw89hI0bN2Lx4sVYuXJloB6XYRiGYZgKTMAEIgBYsGABUlJS0K1bNzidTvTp0wfvvvtuye+FhYXYv38/Ll68WHLsrbfeKjk3Pz8fycnJmD59esnvYWFheO+99zBq1CgIIdCkSRO8+eabGDp0aMk5DRs2xMqVKzFq1Ci88847qFevHmbNmoXk5ORAPi7DMAzDMBWUgPkhquiwHyKGYRiGqXiUOz9EDMMwDMMwFQUWiBiGYRiGCXpYIGIYhmEYJuhhgYhhGIZhmKCHBSKGYRiGYYIeFogYhmEYhgl6WCBiGIZhGCboYYGIYRiGYZighwUihmEYhmGCHhaIGIZhGIYJelggYhiGYRgm6GGBiGEYhmGYoIcFIoZhGIZhgh4WiBiGYRiGCXpYIGIYhmEYJuhhgYhhGIZhmKCHBSKGYRiGYYIeFogYhmEYhgl6WCBiGIZhGCboYYGIYRiGYZighwUihmEYhmGCHhaIGIZhGIYJelggYhiGYRgm6GGBiGEYhmGYoIcFIoZhGIZhgh4WiBiGYRiGCXpYIGIYhmEYJuhhgYhhGIZhmKCHBSKGYRiGYYIeFogYhmEYhgl6WCBiGIZhGCboYYGIYRiGYZighwUihmEYhmGCHhaIGIZhGIYJelggYhiGYRgm6AmoQJSZmYkBAwYgKioKMTExGDJkCC5cuGB5TV5eHkaOHInq1aujatWq6NOnD06fPl3y+7x58+BwOAw/Z86cAQBs3rzZ8PeMjIxAPi7DMAzDMBWUgApEAwYMwO7du7Fu3Tp8/vnn2LJlC4YNG2Z5zahRo7BixQosWbIEX375JU6ePInevXuX/N63b1+cOnXK7ZOcnIxbbrkFtWrVcktr//79bufpf2cYhmEYhgGA0EAlvHfvXqxZswY7duxAmzZtAADTpk1Dz549MXXqVNSpU8fjmuzsbMyePRsff/wxunbtCgCYO3cumjdvjm+//Rbt27dHpUqVUKlSpZJrfvvtN2zcuBGzZ8/2SK9WrVqIiYkJ0BMyDMMwDHOlEDANUWpqKmJiYkqEIQDo3r07nE4ntm3bZnhNWloaCgsL0b1795JjzZo1Q/369ZGammp4zfz581G5cmXcc889Hr+1atUKtWvXxq233oqtW7da5jc/Px85OTluH4ZhGIZhgoOACUQZGRkeS1ShoaGIjY01teXJyMhAeHi4h1YnLi7O9JrZs2ejf//+blqj2rVrY8aMGVi6dCmWLl2KhIQEdO7cGTt37jTN78SJExEdHV3ySUhIsPuoDMMwDMNUcHwWiMaOHWtq1Cw/+/btC0RePUhNTcXevXsxZMgQt+PXXHMNHnnkESQmJqJDhw6YM2cOOnTogLfeess0reeeew7Z2dkln2PHjgU6+wzDMAzDlBN8tiEaM2YMBg8ebHlOo0aNEB8fX7LrS1JUVITMzEzEx8cbXhcfH4+CggJkZWW5aYlOnz5teM2sWbPQqlUrJCYmes1327Zt8fXXX5v+HhERgYiICK/pMAzDMAxz5eGzQFSzZk3UrFnT63lJSUnIyspCWlpaicCyceNGuFwutGvXzvCaxMREhIWFYcOGDejTpw8A2il29OhRJCUluZ174cIFLF68GBMnTrSV7/T0dNSuXdvWuQzDMAzDBBcB22XWvHlz9OjRA0OHDsWMGTNQWFiIlJQU9OvXr2SH2YkTJ9CtWzfMnz8fbdu2RXR0NIYMGYLRo0cjNjYWUVFReOyxx5CUlIT27du7pb9o0SIUFRXhH//4h8e93377bTRs2BAtWrRAXl4eZs2ahY0bN2Lt2rWBelyGYRiGYSowAROIAGDBggVISUlBt27d4HQ60adPH7z77rslvxcWFmL//v24ePFiybG33nqr5Nz8/HwkJydj+vTpHmnPnj0bvXv3NtxWX1BQgDFjxuDEiROoXLkyWrZsifXr16NLly6BeVCGYRiGYSo0DiGEuNyZKI/k5OQgOjoa2dnZiIqKutzZYRiGYRjGBv6O3xzLjGEYhmGYoIcFIoZhGIZhgh4WiBiGYRiGCXpYIGIYhmEYJuhhgYhhGIZhmKCHBSKGYRiGYYIeFogYhmEYhgl6WCBiGIZhGCboYYGIYRiGYZighwUihmEYhmGCHhaIGIZhGIYJelggYhiGYRgm6GGBiGEYhmGYoIcFIoZhGIZhgh4WiBiGYRiGCXpYIGIYhmEYJuhhgYhhGIZhmKCHBSKGYRiGYYIeFogYhmEYhgl6WCBiGIZhGCboYYGIYRiGYZighwUihmEYhmGCHhaIGIZhGIYJelggYhiGYRgm6GGBiGEYhmGYoIcFIoZhGIZhgh4WiBiGYRiGCXpYIGIYhmEYJuhhgYhhGIZhmKCHBSKGYRiGYYIeFogYhmEYhgl6WCBiGIZhGCboYYGIYRiGYZighwUihmEYhmGCnoAJRJmZmRgwYACioqIQExODIUOG4MKFC5bXzJw5E507d0ZUVBQcDgeysrL8SvfHH39Ep06dEBkZiYSEBEyePLlUn41hGIZhmCuLgAlEAwYMwO7du7Fu3Tp8/vnn2LJlC4YNG2Z5zcWLF9GjRw88//zzfqebk5OD2267DQ0aNEBaWhqmTJmCCRMmYObMmaX2bAzDMAzDXFk4hBCitBPdu3cvrr32WuzYsQNt2rQBAKxZswY9e/bE8ePHUadOHcvrN2/ejC5duuDcuXOIiYnxKd33338f48aNQ0ZGBsLDwwEAY8eOxWeffYZ9+/bZfoacnBxER0cjOzsbUVFRvhYBwzAMwzCXAX/H79BAZCY1NRUxMTElQgsAdO/eHU6nE9u2bcPdd98dsHRTU1Px17/+tUQYAoDk5GS88cYbOHfuHK666irDtPPz85Gfn1/yPTs7GwAVLMMwDMMwFQM5bvuq7wmIQJSRkYFatWq53yg0FLGxscjIyAhouhkZGWjYsKHbOXFxcSW/mQlEEydOxEsvveRxPCEhwe/8MgzDMAxzeTh//jyio6Ntn++TQDR27Fi88cYblufs3bvXlyTLDc899xxGjx5d8t3lciEzMxPVq1eHw+Eotfvk5OQgISEBx44d46W4AMNlXTZwOZcNXM5lA5dz2RDIchZC4Pz5817Nc/T4JBCNGTMGgwcPtjynUaNGiI+Px5kzZ9yOFxUVITMzE/Hx8T5lUIuddOPj43H69Gm3c+R3q3tHREQgIiLC7ZjWfqm0iYqK4sZWRnBZlw1czmUDl3PZwOVcNgSqnH3RDEl8Eohq1qyJmjVrej0vKSkJWVlZSEtLQ2JiIgBg48aNcLlcaNeunc+Z9CXdpKQkjBs3DoWFhQgLCwMArFu3Dtdcc43pchnDMAzDMMFNQLbdN2/eHD169MDQoUOxfft2bN26FSkpKejXr1+JCuvEiRNo1qwZtm/fXnJdRkYG0tPTcejQIQDArl27kJ6ejszMTNvp9u/fH+Hh4RgyZAh2796NRYsW4Z133nFbDmMYhmEYhnFDBIjff/9d3H///aJq1aoiKipKPPjgg+L8+fMlvx85ckQAEJs2bSo5Nn78eAHA4zN37lzb6QohxA8//CBuvvlmERERIerWrSsmTZoUqMf0mby8PDF+/HiRl5d3ubNyxcNlXTZwOZcNXM5lA5dz2VAeyzkgfogYhmEYhmEqEhzLjGEYhmGYoIcFIoZhGIZhgh4WiBiGYRiGCXpYIGIYhmEYJuhhgYhhGIZhmKCHBaIA8N577+Hqq69GZGQk2rVr5+ZryYglS5agWbNmiIyMxPXXX49Vq1aVUU4rPr6U9b///W906tQJV111Fa666ip0797d67thCF/rtGThwoVwOBy46667ApzDKwNfyzkrKwsjR45E7dq1ERERgaZNm3L/YQNfy/ntt9/GNddcg0qVKiEhIQGjRo1CXl5eGeW2YrJlyxb87W9/Q506deBwOPDZZ595vWbz5s1o3bo1IiIi0KRJE8ybNy/wGdVyuff9X2ksXLhQhIeHizlz5ojdu3eLoUOHipiYGHH69GnD87du3SpCQkLE5MmTxZ49e8QLL7wgwsLCxK5du8o45xUPX8u6f//+4r333hPff/+92Lt3rxg8eLCIjo4Wx48fL+OcVyx8LWfJkSNHRN26dUWnTp1Er169yii3FRdfyzk/P1+0adNG9OzZU3z99dfiyJEjYvPmzSI9Pb2Mc16x8LWcFyxYICIiIsSCBQvEkSNHxBdffCFq164tRo0aVcY5r1isWrVKjBs3TixbtkwAEMuXL7c8//Dhw6Jy5cpi9OjRYs+ePWLatGkiJCRErFmzpoxyLAQLRKVM27ZtxciRI0u+FxcXizp16oiJEycann/fffeJO+64w+1Yu3btxCOPPBLQfF4J+FrWeoqKikS1atXEhx9+GKgsXhH4U85FRUWiQ4cOYtasWWLQoEEsENnA13J+//33RaNGjURBQUFZZfGKwNdyHjlypOjatavbsdGjR4uOHTsGNJ9XEnYEomeeeUa0aNHC7Vjfvn1FcnJyILPmBi+ZlSIFBQVIS0tD9+7dS445nU50794dqamphtekpqa6nQ8AycnJpuczhD9lrefixYsoLCxEbGxsoLJZ4fG3nF9++WXUqlULQ4YMKYtsVnj8Kef//e9/SEpKwsiRIxEXF4frrrsOr7/+OoqLi8sq2xUOf8q5Q4cOSEtLK1lWO3z4MFatWoWePXuWSZ6DhfIwFvoU3JWx5uzZsyguLkZcXJzb8bi4OOzbt8/wmoyMDMPzMzIyApbPKwF/ylrPs88+izp16ng0QkbhTzl//fXXmD17NtLT08sii1cE/pTz4cOHsXHjRgwYMACrVq3CoUOHMGLECBQWFmL8+PFlke0Khz/l3L9/f5w9exY333wzhBAoKirC8OHD8fzzz5dFloMGs7EwJycHubm5qFSpUsDzwBoiJiiZNGkSFi5ciOXLlyMyMvJyZ+eK4fz58xg4cCD+/e9/o0aNGpc7O1c0LpcLtWrVwsyZM5GYmIi+ffti3LhxmDFjxuXO2hXF5s2b8frrr2P69OnYuXMnli1bhpUrV+KVV1653FljShnWEJUiNWrUQEhICE6fPu12/PTp04iPjze8Jj4+3qfzGcKfspZMnToVkyZNwvr169GyZctAZrPC42s5//zzz/jll1/wt7/9reSYy+UCAISGhmL//v1o3LhxYDNdAfGnPteuXRthYWEICQkpOda8eXNkZGSgoKAA4eHhAc1zRcSfcn7xxRcxcOBAPPzwwwCA66+/Hn/88QeGDRuGcePGwelkvUJpYDYWRkVFlYl2CGANUakSHh6OxMREbNiwoeSYy+XChg0bkJSUZHhNUlKS2/kAsG7dOtPzGcKfsgaAyZMn45VXXsGaNWvQpk2bsshqhcbXcm7WrBl27dqF9PT0ks/f//53dOnSBenp6UhISCjL7FcY/KnPHTt2xKFDh0oETgA4cOAAateuzcKQCf6U88WLFz2EHimECo6NXmqUi7GwzMy3g4SFCxeKiIgIMW/ePLFnzx4xbNgwERMTIzIyMoQQQgwcOFCMHTu25PytW7eK0NBQMXXqVLF3714xfvx43nZvE1/LetKkSSI8PFx8+umn4tSpUyWf8+fPX65HqBD4Ws56eJeZPXwt56NHj4pq1aqJlJQUsX//fvH555+LWrVqiVdfffVyPUKFwNdyHj9+vKhWrZr45JNPxOHDh8XatWtF48aNxX333Xe5HqFCcP78efH999+L77//XgAQb775pvj+++/Fr7/+KoQQYuzYsWLgwIEl58tt908//bTYu3eveO+993jb/ZXAtGnTRP369UV4eLho27at+Pbbb0t+u+WWW8SgQYPczl+8eLFo2rSpCA8PFy1atBArV64s4xxXXHwp6wYNGggAHp/x48eXfcYrGL7WaS0sENnH13L+5ptvRLt27URERIRo1KiReO2110RRUVEZ57ri4Us5FxYWigkTJojGjRuLyMhIkZCQIEaMGCHOnTt3GXJecdi0aZNhfyvLdtCgQeKWW27xuKZVq1YiPDxcNGrUSMydO7dM8+wQgnV+DMMwDMMEN2xDxDAMwzBM0MMCEcMwDMMwQQ8LRAzDMAzDBD0sEDEMwzAME/SwQMQwDMMwTNDDAhHDMAzDMEEPC0QMwzAMwwQ9LBAxDMMwDBP0sEDEMAzDMEzQwwIRwzAMwzBBDwtEDMMwDMMEPf8P6TiaAJzfGgIAAAAASUVORK5CYII=", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "elapsed time: 0.000240904 seconds\n" ] }, { "data": { "text/plain": [ "PyObject Text(0.5,1,u'log |f| vs iteration')" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#J3. Apply Broyden Inverted Method with smart initialization on 100 points: Increase the iteration count until it converges\n", "\n", "N_Pts = 100\n", "N_Iter = 2\n", "Plot_Solver(Broyden_Inverted_Method_NewInit, N_Pts, N_Iter)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Julia 0.6.2", "language": "julia", "name": "julia-0.6" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "0.6.2" } }, "nbformat": 4, "nbformat_minor": 2 }