diff --git a/cmaes-bare.ipynb b/cmaes-bare.ipynb new file mode 100644 index 0000000..683badb --- /dev/null +++ b/cmaes-bare.ipynb @@ -0,0 +1,977 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# CMA-ES bare-bones reimplementation\n", + "\n", + "Tests for the experimental CMA-ES reimplementation.\n", + "\n", + "We start by visually inspecting its behaviour on selected problems." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd\n", + "from plotnine import *\n", + "\n", + "import pints\n", + "import pints.toy\n", + "import pints.cptests.cmaes_bare as cp\n", + "\n", + "from utils import (\n", + " function,\n", + " function_between_points,\n", + " technicolor_dreamline,\n", + " run_replicates,\n", + ")\n", + "\n", + "method = pints.BareCMAES\n", + "parallel = True" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Logistic model - no transformations\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "model = pints.toy.LogisticModel()\n", + "\n", + "xtrue = model.suggested_parameters()\n", + "times = model.suggested_times()\n", + "values = model.simulate(xtrue, times)\n", + "values += np.random.normal(0, 5, values.shape)\n", + "problem = pints.SingleOutputProblem(model, times, values)\n", + "\n", + "error = pints.SumOfSquaresError(problem)\n", + "xlim = [0, 0.5]\n", + "ylim = [10, 100]\n", + "boundaries = pints.RectangularBoundaries(\n", + " [xlim[0], ylim[0]], [xlim[1], ylim[1]])\n", + "\n", + "x0 = boundaries.sample(1)[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Minimising error measure\n", + "Using Bare-bones CMA-ES\n", + "Running in sequential mode.\n", + "Population size: 6\n", + "Iter. Eval. Best Current Time \n", + "0 5 33062.31 33062.31 0:00.0\n", + "1 11 33062.31 33204.64 0:00.0\n", + "2 17 24227.78 24227.78 0:00.0\n", + "3 22 24227.78 34755.25 0:00.0\n", + "20 123 19899.82 19899.82 0:00.0\n", + "40 243 19852.36 19852.36 0:00.0\n", + "60 363 9499.636 9499.636 0:00.0\n", + "80 483 2279.712 2280.259 0:00.0\n", + "100 603 2276.51 2276.51 0:00.1\n", + "120 723 2276.51 2276.51 0:00.1\n", + "140 843 2276.51 2276.51 0:00.1\n", + "160 963 2276.51 2276.51 0:00.1\n", + "180 1083 2276.51 2276.51 0:00.1\n", + "200 1203 2276.51 2276.51 0:00.1\n", + "220 1323 2276.51 2276.51 0:00.1\n", + "240 1443 2276.51 2276.51 0:00.1\n", + "260 1563 2276.51 2276.51 0:00.1\n", + "280 1683 2276.51 2276.51 0:00.1\n", + "300 1803 2276.51 2276.51 0:00.2\n", + "320 1923 2276.51 2276.51 0:00.2\n", + "330 1977 2276.51 2276.51 0:00.2\n", + "Halting: No significant change for 200 iterations.\n", + "0.17 seconds\n" + ] + } + ], + "source": [ + "controller = pints.OptimisationController(\n", + " error, x0, boundaries=boundaries, method=method)\n", + "controller.set_parallel(False) # This is faster\n", + "\n", + "b = pints.Timer()\n", + "xbest, fbest = controller.run()\n", + "print(b.format())" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Found xbest Relative error\n", + " 9.665e-02 1.000e-01 -3.353% \n", + " 5.065e+01 5.000e+01 1.293% \n", + "\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "print(' Found xbest Relative error' )\n", + "for x, y in zip(xbest, xtrue):\n", + " e = (x - y) / y \n", + " print(f' {x:> 3.3e} {y:> 3.3e} {e:> 3.3%} ')\n", + "print()\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot(1, 2, 1)\n", + "ax.set_xlabel('Time')\n", + "ax.set_label('Value')\n", + "ax.plot(times, values, label='Noisy data', alpha=0.7)\n", + "ax.plot(times, problem.evaluate(xtrue), '--', label='Clean data', alpha=0.7)\n", + "ax.plot(times, problem.evaluate(xbest), label='Fit')\n", + "ax.legend()\n", + "ax = fig.add_subplot(1, 2, 2)\n", + "function_between_points(ax, error, xtrue, xbest)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Works well!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Detailed run" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "x0 = [0.4, 90]\n", + "opt = method(x0, boundaries=boundaries)\n", + "walk = [x0]\n", + "for i in range(80):\n", + " opt.tell([error(x) for x in opt.ask()])\n", + " walk.append(opt.x_guessed())\n", + "walk = np.array(walk)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Create points for contour plot of marginal density\n", + "levels = np.geomspace(1e3, 4e5, 20)\n", + "x = np.linspace(*xlim, 200)\n", + "y = np.linspace(*ylim, 150)\n", + "X, Y = np.meshgrid(x, y)\n", + "Z = [[error([i, j]) for i in x] for j in y]\n", + "\n", + "# Plot contours and optimiser progress\n", + "fig = plt.figure(figsize=(15, 6))\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "ax.contour(X, Y, Z, levels=levels, colors='k', alpha=0.2)\n", + "technicolor_dreamline(ax, walk[:, 0], walk[:, 1], lw=3)\n", + "ax.set_xlim(*xlim)\n", + "ax.set_ylim(*ylim)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This looks very similar to wrapped CMA-ES." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Neal's funnel" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "log_pdf = pints.toy.NealsFunnelLogPDF()\n", + "x0 = 9 * np.ones(10, dtype=float)\n", + "x0[-1] = 7\n", + "\n", + "opt = method(x0)\n", + "walk = [x0]\n", + "for i in range(200):\n", + " opt.tell([-log_pdf(x) for x in opt.ask()])\n", + " walk.append(opt.x_guessed())\n", + "walk = np.array(walk)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Create points for contour plot of marginal density\n", + "xlim = -10, 10\n", + "ylim = -8, 8\n", + "levels = np.linspace(-7, -1, 20)\n", + "x = np.linspace(*xlim, 80)\n", + "y = np.linspace(*ylim, 80)\n", + "X, Y = np.meshgrid(x, y)\n", + "Z = [[log_pdf.marginal_log_pdf(i, j) for i in x] for j in y]\n", + "\n", + "# Plot contours and optimiser progress\n", + "fig = plt.figure(figsize=(15, 6))\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "ax.contour(X, Y, Z, levels=levels, colors='k', alpha=0.2)\n", + "technicolor_dreamline(ax, walk[:, 0], walk[:, 9])\n", + "ax.set_xlim(*xlim)\n", + "ax.set_ylim(*ylim)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Again it looks good and very much the same - although wrapped CMA does seem to perform slightly better." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Rosenbrock function" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "error = pints.toy.RosenbrockError()\n", + "x0 = [-4, -2]\n", + "\n", + "opt = method(x0)\n", + "walk = [x0]\n", + "for i in range(150):\n", + " opt.tell([error(x) for x in opt.ask()])\n", + " walk.append(opt.x_guessed())\n", + "walk = np.array(walk)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Create points for contour plot of marginal density\n", + "xlim = [-5, 5]\n", + "ylim = [-3, 7]\n", + "levels = np.geomspace(1, 1e4, 20) - 1\n", + "x = np.linspace(*xlim, 400)\n", + "y = np.linspace(*ylim, 400)\n", + "X, Y = np.meshgrid(x, y)\n", + "Z = [[error([i, j]) for i in x] for j in y]\n", + "\n", + "# Plot contours and optimiser progress\n", + "fig = plt.figure(figsize=(15, 6))\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "ax.contour(X, Y, Z, levels=levels, cmap='viridis', alpha=0.2)\n", + "technicolor_dreamline(ax, walk[:, 0], walk[:, 1], lw=3)\n", + "ax.set_xlim(*xlim)\n", + "ax.set_ylim(*ylim)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Zoom view:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.585968797665864e-08 0.022600062864384853\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Create points for contour plot of marginal density\n", + "xbest = walk[-1, :]\n", + "xlim = [xbest[0] - 0.005, xbest[0] + 0.005]\n", + "ylim = [xbest[1] - 0.005, xbest[1] + 0.005]\n", + "levels = np.geomspace(1, 1.03, 30) - 1\n", + "x = np.linspace(*xlim, 400)\n", + "y = np.linspace(*ylim, 400)\n", + "X, Y = np.meshgrid(x, y)\n", + "Z = [[error([i, j]) for i in x] for j in y]\n", + "\n", + "print(np.min(Z), np.max(Z))\n", + "\n", + "# Plot contours and optimiser progress\n", + "fig = plt.figure(figsize=(15, 6))\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "ax.contour(X, Y, Z, levels=levels, cmap='viridis', alpha=0.2)\n", + "technicolor_dreamline(ax, walk[:, 0], walk[:, 1], lw=3)\n", + "ax.set_xlim(*xlim)\n", + "ax.set_ylim(*ylim)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Fitzhugh-Nagumo model - fully observable" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "model = pints.toy.FitzhughNagumoModel()\n", + "\n", + "xtrue = model.suggested_parameters()\n", + "times = model.suggested_times()\n", + "values = model.simulate(xtrue, times)\n", + "r = np.random.default_rng(1) # Create a seeded generator to get reproducible noise\n", + "values += r.normal(0, 0.5, values.shape)\n", + "problem = pints.MultiOutputProblem(model, times, values)\n", + "\n", + "error = pints.SumOfSquaresError(problem)\n", + "xlim = [1e-3, 2]\n", + "ylim = [1e-3, 2]\n", + "zlim = [1e-3, 10]\n", + "boundaries = np.vstack((xlim, ylim, zlim)).T\n", + "boundaries = pints.RectangularBoundaries(boundaries[0], boundaries[1])" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Minimising error measure\n", + "Using Bare-bones CMA-ES\n", + "Running in parallel with 7 worker processes.\n", + "Population size: 7\n", + "Iter. Eval. Best Current Time \n", + "0 3 344.7923 344.7923 0:00.1\n", + "1 9 282.3521 282.3521 0:00.2\n", + "2 14 101.0357 101.0357 0:00.3\n", + "3 17 101.0357 116.6388 0:00.4\n", + "20 129 84.11825 84.19324 0:01.3\n", + "40 269 83.07294 83.07294 0:02.5\n", + "60 409 83.07135 83.07135 0:03.6\n", + "80 549 83.07134 83.07134 0:04.8\n", + "100 689 83.07134 83.07134 0:06.0\n", + "120 829 83.07134 83.07134 0:07.1\n", + "140 969 83.07134 83.07134 0:08.3\n", + "160 1109 83.07134 83.07134 0:09.4\n", + "180 1249 83.07134 83.07134 0:10.6\n", + "200 1389 83.07134 83.07134 0:11.3\n", + "220 1529 83.07134 83.07134 0:11.9\n", + "240 1669 83.07134 83.07134 0:12.5\n", + "260 1809 83.07134 83.07134 0:13.1\n", + "280 1949 83.07134 83.07134 0:13.8\n", + "281 1949 83.07134 83.07134 0:13.8\n", + "Halting: No significant change for 200 iterations.\n", + "14.35 seconds\n" + ] + } + ], + "source": [ + "# Use a fixed starting point for this one\n", + "x0 = xtrue * 1.3\n", + "\n", + "controller = pints.OptimisationController(\n", + " error, x0, boundaries=boundaries, method=method)\n", + "controller.set_parallel(parallel)\n", + "\n", + "b = pints.Timer()\n", + "xbest, fbest = controller.run()\n", + "print(b.format())" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Found xbest Relative error\n", + " 8.712e-02 1.000e-01 -12.878% \n", + " 5.733e-01 5.000e-01 14.664% \n", + " 2.929e+00 3.000e+00 -2.359% \n", + "\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "print(' Found xbest Relative error' )\n", + "for x, y in zip(xbest, xtrue):\n", + " e = (x - y) / y \n", + " print(f' {x:> 3.3e} {y:> 3.3e} {e:> 3.3%} ')\n", + "print()\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot(1, 2, 1)\n", + "ax.set_xlabel('Time')\n", + "ax.set_label('Value')\n", + "ax.plot(times, values, label='Noisy data', alpha=0.7)\n", + "ax.plot(times, problem.evaluate(xtrue), '--', label='Clean data', alpha=0.7)\n", + "ax.plot(times, problem.evaluate(xbest), label='Fit')\n", + "ax.legend()\n", + "ax = fig.add_subplot(1, 2, 2)\n", + "function_between_points(ax, error, xtrue, xbest)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As with CMAES, we see rapid convergence from the chosen starting point." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Detailed run" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "83.59882874778327 1535.472422939695\n", + "84.28386356034511 7589.604854692392\n", + "83.40920637194193 6013931.213248802\n" + ] + } + ], + "source": [ + "# Create points for contour plot of marginal density\n", + "def contour(xlim, ylim, idx):\n", + " n = 80\n", + " x = np.linspace(*xlim, n)\n", + " y = np.linspace(*ylim, n)\n", + " X, Y = np.meshgrid(x, y)\n", + " Z = [[error(idx(i, j)) for i in x] for j in y]\n", + " return X, Y, Z\n", + "\n", + "n = 100\n", + "X1, Y1, Z1 = contour(xlim, ylim, idx=lambda i, j: [i, j, xtrue[2]])\n", + "levels1 = np.geomspace(95, 1250, n)\n", + "X2, Y2, Z2 = contour(xlim, zlim, idx=lambda i, j: [i, xtrue[1], j])\n", + "levels2 = np.geomspace(95, 1000, n)\n", + "X3, Y3, Z3 = contour(ylim, zlim, idx=lambda i, j: [xtrue[0], i, j])\n", + "levels3 = np.geomspace(95, 1e3, n)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "np.random.seed(1)\n", + "x0 = [0.75, 1.5, 3]\n", + "opt = method(x0, boundaries=boundaries)\n", + "walk = [x0]\n", + "for i in range(400):\n", + " opt.tell([error(x) for x in opt.ask()])\n", + " walk.append(opt.x_guessed())\n", + "walk = np.array(walk)\n", + "np.random.seed()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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4vBh9NhRWy8iKx+TOMUq3ligUyuTzgSgslyksl8jvSTf9fJt5+qj/b1ZXoz9oIqH43MssnLnW9OLtqLCtROLJo9Ocv7K4bqEIvpt4qk+i7vixaS52UAC8Hi68sjhwoXj+5cWBNPmJMze3n/n5zlv3azSjSnhyAdVxGDNPHvZPHmInDvGThU6oPwGop34tCWsTpe0hKw6U3YbnxBvY9DK0u9fnaTSa/tCt8NtIEbdRzD55hEsvXO1KLIZCEWgqFuNCEWqdsnpHMS4W+yIUgwuGceYv3qxpUBb/TDjxyHRN6UH97TihGxkXmmFtYm5HFml7FG6vMrFrDFF2oWxD2gJoKRDjLJy9seFCEfz/l6FQhOZJn63OtombhvSjkc0gYqewtUdibGQDG83wocdfbAzxLqedMFs3X7RZA5uQVpFTqI2dQuPcxEKhXDsgOZh9tZ4GNhqNZvDUxzfrt7m3zXa1jSrdRlA7rVXsNX7aS/S0nk5ip+vl/NVGt7Gw6tcjhnWJXtryRXBQ275wrnXdYSgiN7I+seb16xrbjGIEdduJROhPI5t+O2aDnp0Iye3sNRrN5tBJrd2lF652dcxeGthA8y6nJx5pnJkVHie8Ijx3fH/kJuZ2jtUOSK5/f+sYh6FrEzWawRHvrrydRF+v9NLYBrpratPwWJ+EYqf1iSFJsxM7aWATfz5Uz29X1srR54eb8mWIShvR/jNPHm6I1zZjs4UijHYX1G0pEqF/jWy2SrfTjXITN6qBzUaMwtAdTjUbSXi1vp54pGnhzLXmkaUeG9j0sjaEQjE+EgOS3cRwHIbIJDch6AYtFDWawdGvURLbhV5dxU6a2sDghCIkN7Kpp1m3004a2NTXMoZC0bVgbDID+JFTAC9VFYjzF7ovJxoGoQij2dhm24rEkPUKRdg6sVMYDTdxbk7HGjVbm3qxk1Tv06mLmHQiESceOa2/ipw0MzHpqnEzwvWksFpu6iYmjcPQaDTDSf2Aei0Y27OeDqhN92kjFJPGZLQTitF+TTqetnMT62nmJjZrwlh/jMJamdxUtvpzPdF57Xw9m9XxtJ5Ri6COlEgsVuyu9u9nfWK/2OpuIqDHYWg0LWjmhsVdxFAg1ruISfT64dhuZmKcZvMTw6/hFWFo7iauLhdrGtj0inYTNZrBEg6oTxKMWjgmMyihGM7E7dRVbCUU243GgMbY6XrcxFZ4liA3maGwWiY3lcNLmVE37l6ZefropruJIaMiFkdKJAKc61Lw9as+cSvNThykm6gb2Gg03dGsa2BS57x41LSTD8PwRKH+BKEb2n34x5vYtHIT83undAMbjWaLEReMrYTjMHLphatNt0EQCsVOGVT8tFehmFSfCK2b2LRKnSSNzwA/chpnZbV2TFIvkdM4wyIUYevXK47UCIxs0Dr33LVFTnUx4uLk0WnOXhmusRgwmNmJ3cxFG2bm5vZzYf6mnpc4BAxy4Vt4Yestqq3oxkWM04uLGLZHb7i/ycxEqG193m4URnSsS7fwLIG0VXR/fG7iuGW0OEJv6JEYGs3mEW9yA/6FriShuJENb5LWzVYjKjp1/Hp6Ly1m2yYRH5XRyZiMTuYpNhuPAbQcjVE/PzFxdmLw2ZA0/iKcmXjySLLZEZ+9uLJWZnJHltLrqxQKJSZSJipt+OMweiScn7hZozGaEZ+vCFtnZMZIiUSozkLshfXMTzz5qN+0pV9CcdCzEwc9N3EjZiZqhgc9/qK/JMVM27mIC+du1HSEm79ws6saj/jJQLMhykmEJxkQjsTwauYmFm4uQakMpQoUi4xNZNc1M1Gj0QwX9aIxpJnDOAjxGM4w7FScdSPiNoKNEoqtZiiGJM1PrJ+dGGe+hWhsxtyxaeYvL1J4o8jEVBajovDCWbvrZFiFImy9+YoDi5sKIX5ZCPG6EOJck8ffL4T4UrCdE0K4QoidwWNXhRBng8ee6/a1Tx6d7jl2Okz1iTCYJjaDrk3UkVONppEkF7HTAdVJAjF+ktBunlQ/aNfMJsl1LBTKDZHTTmknIHVtokazfvY/Ns0HPvz+gVyw2eio6uyTRwbqEA6aTuKn/YiedtLxFKqx01YjMXoxG048VnUZw7rEZvT62TYsHU+T2Er1ioOsSfwQ8O5mDyqlfkYp9Sal1JuAnwQ+oZS6F9vlq4LHn+n1DWxGfSL0r9vpIJvYaDpDj8HYPEYtatoJndbKJMVM613EXok3Kuj0RGBudl9Dp1PPkuR2jq2rgY0WihrNxhGKxWZbP+hENK5XOIazC7eqYGzX1GYQQrFZfWJIqyY2Dd/Hupy2SqSsrJVYWSuT25FlZbVEoVBbm9jprMRmDLNQhK0hFgcmEpVSnwTutd3R573Ab/Tz9UPB14tQ7Ieb2E+hOCg3cdANbAbd5XRubv+GzEvUbB6zJw9s9lvoG0knWfUxrW4bH0DzK63xqGm7rnFJV4yTmhS0w7NETadTQDew0WhGhEGIyH67jeHswm6H3Q8bGykUo30ShGInTWziFxE7dRZPPDZNLpiXWD8Ko58Mu1CE4RaLm97dVAiRw3ccfzd2twL+TAjxvBDifb0eez3O4HaInWqGg5mT+5lfGJzYHebFUdMdzf5fduIihvUn9aw3Hn7hlUUuvLJYEzeNu4n14zC6RbuJGs3WoF8CMkk49iIat7pY3CihmNTxNE6z2Ck0L0OYb9JTo95AGZvM1EROC4Xm0dNemXn66FCNx2jGMIrFTReJwLcAn66Lmr5DKfUU8A3Ajwkh3tnsyUKI9wkhnhNCPFdcWW54fLPqE2H4Y6eDdhNBz0wcFpoVnK+XYVjERoH6k55mJzOdFuG3chHb1Ra2opPn1ruJ9eMwSKcR2UxfZiZqNJqtwXrF43qcxiSxuFUE40YIRWhen5h0EbHZSIxm5QntIqchbmqwkiQUilosds4wiMT3UBc1VUrdDL6+Dvw+8JZmT1ZKfVAp9YxS6pns+ETTF9no+sR+x05h67mJuoHN9mAQnU1HtR6xVeQ0PNFJGsrcaoZWJ9S7iDOnYl3rLi3WdLFrRlKM6MIrfrvz6Ps6NzGsMwndxDj9jJxqoanRbE16EY69Oo1bNYrargPmeoViJ/WJ7dzEZjHT+jFuYff/c1cX8YL5CitrZbwBC8SQrRA/DRmGGYubKhKFEJPAVwB/ELtvTAgxHn4PfB2Q2CG1Uza7PrEfbGU3cZDousTRZZTqEeN0IxQh+QQh6WQAGqOm63UR413sWjFXtz6FbmJuKktuKhe5ifUNbDQajaae9QpHoCvBOCh3MXSB4luvhF1Pmz7eo1AMaVafGCden9jOTWzGuauLNeZJbjLDWFCb2Ix+d+/eSkIRqmJxM1zFQY7A+A3gM8CsEOKGEOKHhBA/KoT40dhu3wH8mVJqNXbfXuBTQogzwOeBP1FKfXS976dXoQjDEzuFrecmgo6cajT1JJ341AtFqLqJ8ROEpMhp+OFf/8Hv79/aRewXc8f8GVmeJaL76t3E+gY23URO240L0W6iRjO6dCMau3UZBxFHjc+3TYoPdrLV79+OToRinLkT+9vWJybFTjtxE088Mt20LvHko9OJJorreo3ve50dTpux1YQibI5YNAd1YKXUezvY50P4ozLi970CPDGI93Ty6DTnr3TvJp6/ssjZa4ucfrh7N+/ko36Xz3NXFyObvVeOH5vmYpM/uvVy4ZXFnubdtGNudrqvJ6KbwdzJ/Vw8f5PjMzo+q+kvH/jw+2vEzcxTR1n44hXmP3MpGjh96bMLzD47EwnFmWce9YcqBwOVwyHK3RL+Xcajphcvr8+VDwckQ9VNlLaHUVFI22P11hKi7JC3/OuT43unUKX2jQo6nSep0Wi2B/VCsdVFongX6XB9DQnXWahNcFx64WokFGefnenqvcUFYs37qLvd9jjBet8NM6cP+nV3wedDzWOnDrLwwqsNwmvhzPWaOvaFs9drLi4unLvJzKn9/vnc+ZvMnNzP8WP7uHjxJnPH93PisdpRF/OXbtU4kSePTHP+pcWmHbNX1kpIS2ACjuOB1bjPwrkbiUJ3Pcw8fZSF56+wcPZGx/X+w0B0wSG8cNwmjrwehqEmsW8UK3bbfdbTyKZX+h077bebmHRVSKPZLEa1HrEZ9VfG41e/oXFAdDxyFL9iHI8S1TclaEZSLWI/mhw1q00MG9gkzUzsBO0majSaJDp1GjuNpa7XXexW3PXzGO0cxV7qE+PUj8WIU2821LuJp47UjkfzTKJRGCKb7FsNyk2ErekohmyEszhSIrEbdOy0kUHWJg4ycqrrEkePUa1HbEVS/DQ8eQmFoir6zV8Wnnu55kQgXnMSj5zWx4dakeQi1nelO/FI+xrFMHYKjbWJYQObpJmJ7QRe/Ip/K7RQ1Gg0/RKMvTS7CVMf6204th5aCUXorJFN9HiL2Gm8NrH+s6FdOq1bA6XftYkh8REZoyAW+ykYR0okZtMWZ6+3FyO91CeudyxGP7udDqKJzSDdRN3ldDRZOHNtIJ1NtzOt6hTDkxRVLFWjpwlCMaRTNxGqAjHuIoYCMelKcifEaxMBVlZLfWlgo6OnGo2mG7oVjPV1jCHdiMV2oys2gmYRyk4b2TQbiwHJTWxCml1MbDUKw7PAcT1kzmrohA2DdROj19jCriIMphvqSInEkG6EYjcMU+wUtp6bqNFo2pMUP4VaoXjpswtNhWLcTQyFYvzDPv5BHycpZlovEOvXh2bNCcJup3Oz+/AsgWdJclPZtg1s2qHdRI1Gsx66jaVCo8PYaWfUuFDcLLEY1q833N9BIxtIjp22amLTLGlSPwojTrNaxSQG5SaGbHWhCLVicb2MnEgMfxE7FYobPRYDtq+bqLucatqx3eoRW9EvoSjKrv/Y2esdu4IXXlpsum+nx4jHTsGvTQzHYawGYjGkVeQ06T7tJmo0mn7QTjA2i6SGtHMXZ554eCjEYif1idG+TeoTobWbmDQOo1WXU/DNk07PiUM3cSOE4laOn/aTkROJ0J1QhI2tT9Ru4mDQdYmjw3asR2xGv4RifY1J+EGf1ICgWSRoPetCWJvYqoFNp2g3UaPRDIJuBGMn7mLNc+vE4kbSr/rE8ALhwrmbkZu4cP5mopvYbbd8x/VQSrXdbyNip9FrjYCruF5GUiRCa2u7Zr9Nqk/cjm7iVufiwtYTz5qtT69CEaqNbBbOXI9qTMIP+la1ws1ipu3ipw3HOTZdU5vYrIENQGFpreWx6tFuokajGRS9xFFDWkVRN9NVrB+JAZ3VJ0L72Ckku4n1hBch48myk49OIzISlTZwEmYlNrznJw8P3E2MXmubC8WRFYkhw1qfCP2LnQ7CTRwEWzlyOpcwKmA7s1GDXDU+8ROW+JXscMZgklCk7I8ECj/86+sT693E+uYD4IvAC6/40dOmwrHDi1WFtXI0DsNLGTUNbMIupwtfvNKRA6jdRI1GsxH0w12E2ijqeiKoYQSyk61T2tUn1idRoDF22sxgiEdOQ/NmvTPDq+9h44Tido2fjrRIHHR9IgxP7LSfHD+2b0tGTjUbS787m26lekQhxP9TCHFeCHFOCPEbQojMRrxukqvYiVCUwdewPlFWHP+r7V+1bZUgSKpBbCcQz19djDYI4qaTmWgcBhA1sAEoLDd2s+uETtxELRQ1243NWp9GnU4FIzAQsbhw9kYkWDrZuhWM7eoTO3EToToOo9vIaTdsVH1izWtuQ1dxpEUiDLY+cZhip1vFTYTBzkzUdYm1LJy90Zfh6BvFVqhHFEIcAP4x8IxS6hRgAO/ZqNfvt1Ccm52ucROT5l2FhM4itHcQw9hRuN/KWjlyE92UjBrYkEmT3zPJ6nKxq8hpp26iRrOd2Oz1abswSLHYimZ1hYnvo040tty3y9gpJLuJSYmUQbHZQnE7iMWRF4mwMfWJ66EfQhH628RmUG7iIGcmziVEIjSaAWECWSGECeSAjftkpDF+Cr0LxfCD3qi0bhoQF4etBOL5q4uRQDzxmH8Ba+7YNGOTmchNBKIGNkAUOQU6jpyGaDdRo2lgU9en7UQrd7FXsdjMVWzXgGa9dBM7becmQixqGlx0bNbl9Oy1xY4b1zS8500SitvFVRwpkVis2E0fO3lkemD1ibD5sdNBNLHRaDSNKKVeA/49cA24BSwppf6sfj8hxPuEEM8JIZ67c+fOQN5LklAMGyaEJxuUg1ETTYQiVGOnRkVFV4KjD/aYq9hOHDa7UBXeH7qJXkpGDWxU2gT8yKnMdpeK026iRlNLJ+vTRqxN25F2YrG+brGVWITkCOqghSJ0HjuF5m5ifQObMHp68sh0YgdtmTF6fr8b2fG05nW3gas4UiIR4OyN1mJtEPWJ642dwnC6iTC4cRhbtYGNZjBssXrEKeDbgKPAfmBMCPF36vdTSn1QKfWMUuqZPXv2DOz91AvF8OTj0mcXUMWg1q+JUITG+sT49+1qSuprD088Nt14chDcdi1q3MSV1RK5nb6TGEZOofsup6DdRI0mpJP1aaPWpu1Kt+5iklhsVa84SKHYzE2sp37ubrcpsVNH+tvIcCM7nta87oi7iiMlErMpC2guFDeiPrEXQjdxvUKx327ioMZhDDJyCroucdAMqrPpVqhHDHgXcEUpdUcpZQO/B7x9M99Qq86nzYTi3In9DfWJa/fXamKnSW4ikCgMW7U+r3+ssFYmN5WlUCjhhU5iXeS0U7SbqNHUMHTr03amU7EIyTHUZvWKgxaK7dzEkLnZfTVuYkirRMqg2CyhCKPrKo6USAQ4fbi1ABl0feJmx05h67iJg2DQdYl6VqJPvzubbjGuAc8KIXJCCAF8DXBxk99Ty4Y2SUIxPAmIC8V83o97GhUVuYnSjonGWE1JO2GYxMpaKep0Wlgtk5vK+e8vbZLfPVETOe3W+dNuokYDDOn6tN1pJxZb1SxCcgQ1LhQHGT+F9k1soNoELTQYotr0R6pfm9Ul9ovNFoqj5iqOnEgEXyi2ip0Oa30ibB83EbZe5FTPStQAKKU+B/wO8EXgLP46+sFNfVMBrRraJAnF+vrEtXuribFT//vumwrEOfHYNLnJas1hGDn1Un4tSqFQjiKnIZ2Kum7cRC0UNaPMMK9Pmt7EYitXceb0wa5cxYVzNxq2TmnVxKaVm1hPs7rEfrGZQhFGy1UcSZEY0o/6RNj42Gk/GPaRGIOOnGq2DgsvXNtKUVMAlFL/Wik1p5Q6pZT6u0qp8ma/pzidCsXCG8s1QjGfTwO+OAxjp2sPik3dxJBzVxcTt2aEDWzCmYn1kdOkusTwxKkV3cRUNZpRZdjXJ033YhEaI6jNXMVmhMJp5snD0Rbe36tw7MRN3MjIacgwCMVRcBVHViSGsdP11idudOwUhtNN3EqRU41G05lQzI9nG4RifX1ifswXjmtLpRqxGF4JDterk49O12zhY/WiMd7AJpyZCNR0OYVawRf+DK3QbqJGo9lqtBKL0Ly5DZDoKkLr+Gl9J9C4YKzfkujWTQyJN0GLX2gcZKIsFIrDIBa3qqs4siIROheK7djI2Gm/mtjA8LuJMLgFQjev0Wg6F4rQ2PE0rE9cu19E2h75XDp63KibNpSUgkgSjWGNyspaiZVoFEY2ipySCZzMhFEY4dV1gEsvXG36M2s3UaPRbDWSxGKrTqjNXMV28dOkhjTrpd5NBH8cBjQ2sImLxVMdnoOvh82Yo5j4PrZoBHVgIlEI8ctCiNeFEOeaPP6VQoglIcSXgu1fxR57txDikhDiJSHET3T6mmt245zEThrZDHIsRi/0I3baiZu4umJz/vP3+ONfucrnP/Y6v/rvLvG7v/Ay//PXrvHJP7rJ8x+/w/zz97l2eYXCPYcvXbjZ07DTZgwqcjro5jXbmUF1NtUMjo6ip7HRGPX1ieNjgVgMYqdJbmKcZhfHTj46zbmri1FtYtxNdFwvipySSbX8eVoJRO0majSarUwnYhGSI6iQ7CpGxwnGW/RDKLZyE8Nzu/oGNrCxkdOQYRKKWy2Cag7w2B8Cfg741Rb7/LVS6pvjdwghDOA/AV8L3AC+IIT4Q6XUhU5e9MXXFnn8QKP4OHtjkdMHm4uSs9cXOX2ovWg5d22RUw937kCevbLI6Q73b3itq4vrutJy/Ng05y8vRo6p8hSvv1bklQvLXLmwzO3rxWjf0prL3cUSd9vo4I8bdxkbN5nak+a73/dIz+9Ns3XpZ2fTrViPuBX5wIffz099+88w89RRFr54BVUqIzJpVLGEyGaqzWzSFmt3C+R25cnn0xTurQazDCX5sTQefuzUtQRjkxlcy78afO7lxZqLW3GhWL/+nbu6iMR3E6UNkzuylCoeFGxU2kSUyuT3TrF8tfXJxKUXrkYnSnHm3jbL/GcudRRR1Wg0mmEkFIrxi1n1QjG8KHbphatc+uwCs8/OADGh+MyjvnP1/JVInMycOuhHMF94tech9HMn9jN/oTZaunD2OjOnD9Xed/4mpITvJlqSE49M15QuXXhpcbAqJMbMk4dZeOFVFs7dSJwFuZHMPH3UjwQHQjEU9MPIwJxEpdQngXs9PPUtwEtKqVeUUhXgN/EHw7YlnJP44mu1Smcz6xNhfbHT9eJUPC6/+IA/+83rfPDfXODX/8/LfPZPb9cIRIC7t0odHc9zFSsPbApLja6tZrhYOHuDue09qkITo52jWLizBGWbfD7N2t1CTSObtftrNbHT8Vy1TjHuJp69tsjJo9PRFt4XroHhuuaZRG5iIYidxiOn9XWJ9VfWw5Oh9aLdRI1GM8w0cxahNoIKya5iGD+N1yn2WyTN1qW3ktzEejot9+onw+IoQqOrOKzO4mbXJL5NCHFGCPE/hRAng/sOAPGA843gvkSEEO8TQjwnhHiutLLMqUAQ9ioU6/E8P1r14Z+5zp/83Gvc+ZTg6l+XOf+pJa6eLXDneom1ZQflJccw1xs77aU2ceWBzQt/dYff+7mX+fh/foM//tCrnP/8PdZWnJr9hIQDj4zxZd+8j2/+wcN83z89xrf/g6N83XsO8Y5vnOZNX76bmTdNcuCRMab2pEllqr8uY+P9ufwzNzu95UZhaDRblVZCMT8R1AEGQhGqjWzy+Uxi7HQ8V60dTPo7ThKL9RfA4mMxosgpyXWJ9TSLns69bbbj2kQtFDUazbBTLxbrI6j1jW3q5yrWx09nTh3se33iwtnrzM0mi8J4l9ONmJfYjGESijD8EdQNMnoT+SJwWClVEEJ8I/Bh4BggEvZtWginlPogwQygPY88pgBOHZ7m3KuNv4CnD09zNuH+kJNHpjl7tTZ2+tGfv006K3ntUq3zdpXbNbelhNykydikydgOI/hqcmA2y6PTezh7bbCx09Kqw+UXlpn/whK3rq6RG4fVJadhv8yYwZG5CR45Mc7h2XEyue5+Bc5duMnDe3bhuf2rTRwEc3P7uTB/kxOP9X/O48WFRY7P6BEe62XhBV3fuBm0jJ4CpNP+DEXAS1us3V3FS5tNY6ee5Qs9z/SjpWevLDZcHAtvn7/iC8Uwbjqey7C6VMZISdyURFZcP3KaSUGxmDgKI2T22Zmoy59Go9FsB+pjqEkR1Ib46ZlrvlCsi5+GQrFd7LQ+Wgow80RttHR2bj+X5qv7LZzzI6Zh5LTmeJdugZV0qr8xDFP0NGRYI6ib5iQqpZaVUoXg+48AlhBiN75zGP/tOwg076sboxhrXHPq8HSDmwiBUOxwfuK1c2tceWGN+b8pAEEUKlHDgudB4b7D7aslXvnSKmc/scRn/+Au5z75gF/5yQVe+stVnkv4Q2tHq9ipY3tcfmGJP/7P1/jP/2KBv/ytW9x8ZQ3lwcSu6lX43QcyHH1mjO/9x4/xI//mJN/wfQ8z++RU1wIR4NSJ/bz24B5Te9Ltdx5B5k7q+GY/0fWIm0PL6GndDMWxfMaPoN5bjcZixGOnoZu4ulyqcRPPXVus2aAqFj0LxgLncixwEmsipwDZLON7p5pGTtuh3USNRjOqtIqgJnVABbp2FOcv3GT+wk1mnjhUIwrrBWI9oZsYj5yGXU7j3U03k3DMx2aPyIgzjK7ipolEIcS0EEIE378leC93gS8Ax4QQR4UQKeA9wB92etx6YZgkFKF97PTM1Vt86rfuRvcfmMuw60AWMJl8KMu+x/LsOGyQ2yNJ55r/My6+XMQue1z/fInP/vx9Pv5bt1i5V+n0x4kIY6fKU9y4vMpf/Ppr/Od/cYmP/PINXn5xpcbZExImplJ89XsO8vf/t+N830/McuztefYfGUPKzbt60wwdOd0aLJy51temNZrNpZlQLNy+3zBDMaxPzOczUX3i2oNiNDvRsKmNnl6pisJwC8Vi3GX0R2H4jiRQ7XIajMJYXfYTHM1E3OyzMy27nYIeiaHRaEaTZhHUpFrFboVi6B7Wi8N2AjFpHEZIPHIaIh2Qm9jiYtjipzBcsxUHOQLjN4DPALNCiBtCiB8SQvyoEOJHg12+GzgnhDgD/CzwHuXjAP8I+FPgIvA/lFLnO3nNsHFNyHrqE28953D/lv+ba5jw+tUKd1+zAYOl1+HWSy7f8Y+P8Jb35fkH/+dj/Oh/fIzv/+mjfNf7D/Hu9+3jy79nD49/1SQKLzqu58KLn7jHr/yry/zFf3uNB6+XO/mxOPnoNIU7Dp/6g0V++V8v8Ls/e5Xzn3lApejV7Lf3cJav+O5pfvh/n+XdP3iI0+/YxfiU307++LHpvs5NjHeo0mg0W5MkoTg2ka0RikDUyCZen5gfS0ezE1eXSqwtlVhdLjX9wK9v/BW6ibmYkyiyJo7j4Thu21EYnaBHYmg0mlEnSSwCDUJRFUvRTEXK5ZqGNvVCce5E9xeEmzWwCWcmxjnxyHTDvN3NYhiFIgzHbMVBdjd9r1Jqn1LKUkodVEr9klLqF5RSvxA8/nNKqZNKqSeUUs8qpf4m9tyPKKVmlFKPKqV+utPXLFZsTh+qjZm2E4qJx1lxuf5JN7rtOmCXEmrwAlPu3LVFzJRkYrfFvseyPPb0OE98zRTvfM9e/u7/9hjf+P84xENHstHTPA8ufOYB/+3fvMRHf/kGd28mdxZduW/z/J+/wa//9Et87leXeP4v7lJ4UFtnOLk7xVvevYfv/6nHeM8/e4Q3fcUuci2ayvRDKDbrVjWMXHhp42fyaNqj6xGHh2ZCEYhmKIYdT9furkbzE8PYqd/Axo+dxt1EqDqKIaFQVLFU6cpaCS+4vuelJDJnYYz54tNxvJZ1iSHaTdRoNNudZq6iKpU7chWTHMVwHmK31DewiUdOYXPmJbZimIXiZorFze5uOjCShGKIUoqFTxdZ/JNcopv4+d+/R2XNa7h/Yo9JKlv9JxOi/VgMIQWPvGmCv/UTR/nWHz/M/mO52PuAheeW+LX//WX++BevcfvVIuWiy/m/uc/v/Yer/Nd/ucCnf/82b7xW6zhmxgwe//KdfM8/PcoP/KvHeNs3PcTUQ+1rBI8f628WvN9uYr8jp3NzOho5zOh6xOEhSSgmjcYYy2eQZSeqT4zHTuvdROHWvsbZ64ucvb5YIxTjtYnxyKnjeJBJY46PRc9vFTlthXYTNRrNdqFTV7EToRi6ib0KxWZIu9F08UouQQXapjGMdYohm1WvOFIi0XMVZ69Xu5Mm1Sfeu2nzwR+6w8d+cZWXPlvh/mVRIxQXXypy4a9WGo594p3jfO+/PohIqOnrZMyFEIKHT+T5zn92lO/8Z0fYebQ2GvvKmRV+6//3Ch98/zwf++83ubGwWtPT1bAEM89M8MS3j/PDPz3LV33PPvYdzfX0RzWMbmJY4KzRaDaHeqG4cvt+NBojFIrxRjbx2KmseB27iWevL+LFwg4rxTKu5TewCSOncqz7qGm/3EQtFDUazVanmVAMa8+7FYqdcGn+JjOna2sWF8757mEYOT3xWPK5nmkky5GweU5Sh9VBMayuImx8BHWkRCIKFs+m+eSXXqsRineueFz/7d28/kKKa/YbqNgV7usftfCcan3inVdrm8pkJyQn35Piq75/jz8nMCbc6vVZMzexnv3Hxnjieyd4+gcmeeSJ8doHY8cUAg7NjfG133+AH/63s7z77x9i96MpLl6vHb/RDf12EzXbg4UzOh66HYgLxfxkrkYoAjWNbGTFiWKn+bE00lY1buLqcjlyE8OO0SePTEfNwZZLZZQBYxN+CmJlrURuMoMbOIkqbeI6Lq7jtRV4/XQTNRqNZhSIu4rxuYph/DSsU4T20dMkN/HS/M2arZ5WXU47ob55zkaKxWEXihslFkdKJHoVwdVfm2P+3z7NL//wbu5/9Bjnf3GK3/sXcO2LktufGEeagrGDLqHaW37dQy1MRMc4/TWTfO0/fAiAA8czfO8HDvHOrz8YneQ0G9nYLnaatP/EPpNv/pGH+dv/4lFmnpnksScneOTUOHsOZfiy79rL3/vpGb7jHx/h+LM7SGf9Ip5WIzG6oV9NbIY9cqrpH/3qbLrwwjUdNR1imgnF+kY2YX1iPHZq2App43c7zVYj8LJuZOvJI9Pk84E4LJbxLEFuMsPKWtl3EnN+0sLIZ7HGc9TT7KKFdhM1Go2mlnbx03hDmySh2Cp2OnP6UM3WL+oFYryz6kaJxbhQ3ApicRCMlEgs38uhXAkInILF/MfyrLx8mNCeW74t2Os+xORRINZ19LnfL/Lo5EORm/jYm/P8rX9zgG95/z6yE9UOC2evL6LiGrHOSuwkdlq//9lri+w+kOHdf/8g7/6hg3z93zvIe3/yUZ76mt3kd1hNn3tuHSKvX27iVomcbsfmNQtnbzCnx1VoeiRJKIYdT+vrE2XFxah4yErt7ETpUOMmxgkvunkm/rEm0lEDGy8lo7pE12msDW+GdhM1Go0mmU7rFJNGZLQTiq2Ym93XEDkFv7uptFWUPEkiadxGvVgcNGGdIgynqwiDHZkxUiIxlSlT7/T5ou4AMA4IXvgjl5NPT+GLRH9fu6T47P9YBaqx090Pp2vq/cKIlOvF5hEmlAOG88C64Wywv5QCM9X+f8mou4n9ZFDNay4uDO/PrNH0g3qhGI7GaFWfWN/ERtqK1eXaxluRQAyuvy2XyqwUy1EDG8f1auoSnS6EImg3UaPRaJJIip8m1SmGIzIAKPtzKuJCsRfqTYCwu2l9DXtIu3mMGykUYbjjpyGDiKCOmEi0ye+uQN7CF4ESSAEmMAUYXPmcR24q7JpQvcR96VNl9ti7gNbzE5ukTRvoJnbaCycfnR5JN3ErMHdSO3S9okdfbC3iJxTRaIxikcKdJQpvLDfETmXgKBq2iprYjGfTFAplCoVydGEqHEHkGQQiMx01sBEZw3cTHQ8VzEqMj8FYXS4y88yjiZHTfruJWihqNJpRI8lVTGpokyQUodZNXDjbfedTadde+KsXirldY3TCZgrFYRWL8QhqPxgpkahci0L5HZA7DXIfkAHSwSaBnYBk4ROKib0GvuKr/rJ+/nfWopOXZkIxTrPGor0Iv7Nduo8h6xGKw8jc7LSuSxwy+t20Rtcjbi3iJxShUMxPZKBUgVIZUXYSY6f1IzEmMn4N4ulD05x9dbFGKC6XytGsRMd1cVwvqksU2eoJRCczE6G1mzj3tlk9N1Gj0WxrehWKMhSMZ64z20FSq34eYr+NhTB+upF1ilvJVVwvIyUSV9emYAKYMmD/NL5IlMEmotuXPumx63DYYt1FSHjoEQvPldx+2YlOXpKoGTnRYvpEN7HTUFR2KxTXGzs9fmx6W0RONeunX01rNFuTD3z4/Q0zFPMTGfLj2ag+sT52GjaxibuJ0qmNuceFIoBnCWTGQGZN3JREpat12QtfvML43inye6davtd2bmL8eJ2g3USNRjOK1MdPobbzaadCMclNnL90KxKIM6eq5w/xusR+ouOng2GkRKIQNowL8GzIKzi0K/4o4P/yuDbYpWrnPWscXn9FceuSy9UX7Oj+RDcxFje98Fr7URSDjp3C5ruJ2zFyqtFsN+JCsb6RjSzbibHT8Vy6xk1MIhKKJniWX5PouB6u66GCTmFJDWyaRU47QTex0Wg0Gp96oRg2tOlEKCYRF4dxgVhflxjWr/eLzRCKM08eHur46XoZKZE4Mf6AR6c+D6YHWQMmPdiXBV4H7uBHSwVgcON81Qb0KtXaxFcDkdhN7LQZ3Y7FAO0mhvQzcjo3t39bdjgdNvToi61PKBTzkzm8YilqZFN4Y7khdpofSwfNa6ojMcLaRICzry7y4mv+FtYlAriWv4msicpYkEm3ekuJzD4707aBDWg3UaPRaKAzoRh2PZ055X+dO7G/qZsYF4dJnHhsmnzOX9vXlkpNG9h0y0YLRRhtV3GkRKLnKU4+/Bz791xFeA9gz26YeZh9s/eBe0B45UOAK0DkAXCKHsLwr1jfve6x8oZ/1Topdlo7AoPY/MRkunEItZvoM6hRGBqNZv3EhWLYyCZenxjGTtfuF6MmNkBNbaKMjcU4dXgaZcJysRy4iX7k1Ik5iYNAN7HRaDSaKkmdT+NCMRyPER+NAdVGNr00sRnPdX8RsB2bLRRHSSyOlEhUElRG8OS+TyCzQc2h47C8+xkeeiKMK5n4HU8zoFLAGCDZeaD6T/Hql6o2+unD07VuYuyk5cThvUB7oQjdxU63spuoGS363bRGMxqEQjHeyCasTwxjp/EmNs3cRIBzr/prTz6fxjNAZvw5iV5K4qUNlFKIbCZR1LWKnPbbTdRoNJpRp76hTZJQBBpip6KcMBC3CceP7WP+Yq2AW1sqYRr9kyQb3dAGtk5Tm24YKZGIANeSyIzLrtc+DksPwHNZTR1kZc/Xkn+kTLXbTPjVBMYoF6vx06tfasxah0Kx5rq2ENH8xFZsVOx0s91EGN7I6Xai38NU+9G0Ro++GF1Uqdw0dhpvYjOey9S4iYVCGeHEjmP6QtFxvShyCkDWv9J86YWrHTel6RTtJmo0Gk0trYQi0LI+ceHsdeZm97FwrlGYzV9KPqfrV9Q0ic12Fbc6IyUSpSEprJVwLclYdgkuXwDLdxSL7m448OWxvUNn0e98WrhjEP5z3DhvY5eqcrCmPjGmEkNZefLI9JaPnfbDTdSR0+Fhbgi7kep6xNEi3sjGK5YSY6fxJjarSyWM4FyiUCg3RE4BVkp+5FRm/HanXkrSSeJUu4kajUbTP5oJRVUMGs3UCUWouonJ3U7988uZTZgzvVlCcRSa2oyUSERAbjJDYa3E+LSElSW4dC56uGAehaPhlWOv+iQE4CEt/z7lCj71yTs1h04ci1E3AmOrx077xbCOw9DNazSa/lLfyCYUimHsNGxiA0QjMWTwFaiJnZ46PE0+n0amgripJfxrchkrqk1cOHONmWcerXkP9be7RbuJGo1G00iSUAQShWJS7LTeTdwMgRi99iYIRdj6ruJoiUT8pge5yQxYq/4dt2+Sur1Q3eHYMYynnwCcume6eLGU6b15yYuv1Yqd04en8Zpc1Q5jp62E4kbETmF9TWyGyU3sJ3MdDH3VaDTdU9/IJj+RqYmd5vOZyE0EIjdROjAR1CiGdYnKBMfz8IK4qe8kKmQu23PUtBM3ce5ts125iVooajSa7UC9UFQlXxg2CEVqY6eyUn+OXeXi5c25YD8MQnGricWREomZYPCyZwmm9ld/NO+lS4jCG5BSYAjcPYeYevYA4JHauQpiCWHUFt0uXzJRjaO5auOmdU5iN/WJndBL7HQ9buLxY8PhRMYZ1rrEuZP7ubgwnO+tX/SraY2uRxx94o1sCrfv18RO401s6t3E+rpEACMlkWkZRU5RoJRq+fu4npmJcXTsVKPRaGqJC0WgUShCYuwUGt3EkPqSmEHWJcbZjIY2sHWb2gxMJAohflkI8boQ4lyTx79PCPFisP2NEOKJ2GNXhRBnhRBfEkI8183rHj82zfFj06QmPWQw1sKpmKhLl2I9awT3d7ydJ06v8cRb7nHgayoot0I1ggqlFVi5LhrcxNofIvnufsZOYeu5idCfyKmuS9x8+tG0BnQ94naipj4RoiY2ALLioUpujZsINLiJnoHfwCYl8TJmdOz1REs7cRO7QbuJGo1mu1A/R7FGKCbETv1yg+Zu4majXcXOGKST+CHg3S0evwJ8hVLqceADwAfrHv8qpdSblFLPdPqCxYodiaMTs9Nk8rFf0OVlOHe+OsJCCG5MfRlp4ZKSYI2DP0exahXe/J9pXFvVCsWExjVx+h073Ypu4rBGTjUazeCor0/MT2QiN1GWnchNNA0ZuYleyUO6MJ5pnJXlWbEbCY8n0aqBTadoN1Gj0WgaaSYUC7fvN8ROx/JVZ7CZm7jZbKZQ3Cqu4sBEolLqk/gT7Js9/jdKqfvBzc8CB9f7mtkgbhoKxZ0PGTWP7zXOspcL0e27Y7NcNd5J/rjH0fdX2Pl2G3DxlWCFu68WufBzBvcvqURH8WwTl3EQsdOt6Cb2i2GNnGrao6Om24u4UIzHTgFkxUUVnRo30TQkXtmraWCTz6d9N9H0Swe8tL+Ot3MR2z3eaW1iN2g3UaPRbCeShOLYRNZ/sFxuiJ3G3cSF8+3FmMiaFAplLs3fbNgGwWYJRdgaTW2GpSbxh4D/GbutgD8TQjwvhHhfqycKId4nhHhOCPHc0oP7eFZ1ZuBjT7g8+oSLkXLZ+ZDHY2+9zfH8n/Kw/Hz0/BvuW7i/9hhiXLH3O1xO/rjNnkdcfLEIy6+7XPgQzP93xcobTv1rR/MTk9jM2Olmu4kwfJHTubn9usPpJqCjptuL8CQiHjsN3UTTkJGb6JVcpK2iAcr1QlGmJG7Kz2t0MAWjr+gmNhqNRpNMvVCExvrEeBMbAGknNflozczpQ9EGDEwsxoXiZrmKwxo/3XSRKIT4KnyR+P+K3f0OpdRTwDcAPyaEeGez5yulPqiUekYp9YyVywO+mDr56DTG4ZscedcN/v7/2+HkN97kLc8ewUsJjmY+zU5xBUmRfPo17t99BuflKYQD44cFj/xDmy//B5MY2err3D0Pv/4Td4hCpqJufmIdwxI73Sw3UUdON4eFs/1ZZPrVtEazPWkcixHEToORGH4TG1Alz4+euuBWah1FZfqRUzclIZNm4eyNmi3xdds0sBmEm6jRaDTbjbhQTKxPBNbuFhrcxCROPFJ7fpvbORYJw5B6sdhvwoY2oF3FOJsqEoUQjwP/Bfg2pdTd8H6l1M3g6+vA7wNv6eR4nlIoA5ThC8WwpuWVu4s89fQezl9dJDeZQaXhePYj7Lau4KUeYlXt48Zr34q4ZvH4/mmEFNjHl3nyn8OeN8eOXwEw/C24tJ04PzGg37FT2LgmNsPkJmq6o75rWK/0q2nNKCKE2CGE+B0hxLwQ4qIQ4m2b/Z6GiXjsFIBSBbdQRJYdvDU7VpuofEfRAVNKxjNpTh+YjmYmRhaiUsw8fTTaNgLtJmq2Knp90mwE8a6noVAEothpPt9YS95J5LQVG+kqbjTD6CpumkgUQjwM/B7wd5VSC7H7x4QQ4+H3wNcBiR1S61HCr2NZLpVRQTliKBTPXV3k+LHpaI6ika5wQH6BUsX/JygzxaXbP8DnP3aVB/eLADx1fB+PfY/g5D+EnYeqHfaEocjtqK13bBY7PXlkum+x041uYgPD4ybqusStx8IL19YdNV344tX+vJn+838BH1VKzQFPABc3+f0MHaFQDN1Ew5SIsoNpyho30bCJGtg0OokCL9X9x1S/3ETdxEazRdHrk2ZDCNd58IViGDst3Fmi8MYya3cLUafTdpHTfK6zBmUb4SrC5ghFGC5XcZAjMH4D+AwwK4S4IYT4ISHEjwohfjTY5V8Bu4D/u27UxV7gU0KIM8DngT9RSn2009f1TL+eJRSKK8VyjVAEIqE4nrvHnPMR/0EJjhxj/t7fYfyKx/IdXyiePjTNxFHBd/70bp79vnEyecGTPy75gZ+tuiytYqch/YydbjU3cb3oURiaYUIIMQG8E/glAKVURSn1YFPf1BATxU6DJjZJbqK0FV7Zw614nHt1kbOvLbIcxJYUoDJWwwdmq8hpP9BNbDRbEb0+aTaD+vrE/ESG/HiWfD5d0+m0GatLpbb7NLzmNhGKmykWB9nd9L1KqX1KKUspdVAp9UtKqV9QSv1C8PgPK6WmgjEX0agLpdQrSqkngu2kUuqnO35RQbUrnlkVjHGh6FrUOIpHpm9hyFJUalgSu7l67xuYeNnj08/5V5FPH5rm/O3bPPFNef72f9xLdk/j/MR+1Sd2ykY1sekHOnKq6YWFL15l5vS6mx4PgkeAO8B/FUK8IIT4L0HqoYZ4U607d+5s/LscAmpip3VNbKojMQwMG6TtR05DNzGfS+NZ+E5iEDsNPyw7iZyu102MjqNjp5qtRdv1Sa9Nmn6SVJ9YuH2/wU1cu7fK2v011u4Xmb9YK77GJtsLySQ2ok5xMxrawHCMytj0xjX9JIybLjllVBA7DcVivaMYCkXPgndO/Caoqg1+L/0oxj3J+DWPz3zmSiTuXnxtESstOBUIwmZCMYlO6hNhcLFT6N1NHJbIaT/QHU7b04+mNSM++sIEngJ+Xin1JLAK/ET9TvGmWnv27Nno9zg0xLudOiurQRMbO3ITjaDDqWlIpN9UmkKhzEqsAQJUr6x2Qqduom5ioxlB2q5Pem3S9Jv6+sSxiWyDm5jPp8nnM4yPJQvCwlo58f52hPHTUaxThM11FUdKJCL8pjXK8oVhvavYLHqazhR5nN8B5V+udo00z+1+H6xIxm55FG4UefxArTBsJhRhY2KnsLXcxH6g6xI3jn40rVlPPeIQ1yIC3ABuKKU+F9z+HfyTMk0TQjdRBbFTUaogy040N1Ha4JVcvLKHiDXC88zmx4T23XzbuYmdot1EzRZCr0+aTSFen7hy+74/K7dcbnATB8Wox083w1UcPZFoglcnFFUToegGXz1LsCP9Gif4Iz92moayNcYLkz9M9maRiVcdPvvp6klCvVCMs1Gx0410E2F9DWxg/ZFTXZe4/RjSqClKqUXguhAitJm+BriwiW9p6AlPHgxTxprY2Miyiyo6qJIbRU69SmNzAy9jNnw4t4ucajdRsx3R65NmswkvCo5N+HPk6t3EMHI6kNfeIKG4XVzFkRKJClV1EA0Ym0xH4rCVUDx+bBrXEuxOv0zOuBP9q5StcW6MvRWj7GGuKR7cLXL6UKNY2czY6Ua4iettYDNskdNRpV8zEjUd8b8AvyaEeBF4E/D/2dy3szWIN7EJ3UQZ1CaGDWxMQ+JWPFzbQwauoiw5rN0t9P39dOomzr1tVruJmq2EXp80m0I8drpy+z6qWGqoTcwHjWzWHvhCsd99K0Z5niJsrKs4UiLRMCRLTgnPVJGDuOSUE+On9dHTsckMriV4UvwaY/bt6Ji3J+e4m3oEzxJgwYs3q/WJ0Dx2evrw9Lpjp53SbbfTzXITNYOnXzMS18N6R18MedQUAKXUl4KanseVUt+ulLq/2e9p2IlHkfwmNuXITTTi4zCCyKkp/Y8nWfEQwcytmVON7nKriyMzzzzaUY2tbmKjGSX0+qTZTOrn5MZrEwHW7q1GdYlrPXQ17YRBCkXY/PgpbMyojJESiX7cVKEMGJtI1biK7YTi8WPTjE1mGN+R5kn5W0zY19nhXGc5d5D5Hd9CSe2I9g1nMPZan9hp7HQQTWw2y02E/lwtGqa6xLmT+7m4MDzvpx8snLnWl3rE9TKsUVPN+vjAh98fuYmGaTS4ieBHTqUDbtmvVTQqnj8+o2yz8HytSOuky2k7unETNRqNRtM54ezE0E0UZSeKnObH0uRz6ZrxF7mpLIVCiflLt5i/tL4mg9tFKM48eXhg8dOREomu8lCGCoSiqnEV2wnFeMfT/KTF8cofUrQmQQhcmeFq5VvIXjFZul/k8f3TDbHTXusT2zGIJjaw8W5iPyKn/axL1B1ONZrNoXYkRq2bGEZOgShqWvPcHkShdhM1Go1mY6lJjlB1E4EochqvS1xZ84ViYbVMbirHzCn/YvV6xeJGdD7dzDEZ0fsYkKs4UiIRAZiK8fEUS24pchV7EYpTeyWnSn+IVP6ZSlaWuL36dvJXPD51pjo/sd497KY+ETanic1muonDwNzc5jtlcRbO32RuZjTqNtc7+mKIZyNq+kR8JEa9mxhGTuMC0UtJyKSaCsSZp4+uux5Xu4kajUbTf8LZieHcRII5imGX07AuMReUfNU899T+GrG4rvehXcWeGDGRqJjMp1h2ixC4ib0IRYCVtTJ7dq1wUnySvHObexxkcccT3Cq/g4mX/fmJf/PSq8BgY6cwmCY20Lub2CvHj+3re4GyZvhYTz2iZnuQ5CZCUH9YUUibmlEYKmOt+4OvX26ibmKj0Wg07Yk3sQnnJgKIsr+4GwmdrJPQQrHL99HFTOF2jJZIBIT0EIYCQ/UkFFeKZVwLxiYzrKyVmSqfwXRXIO2hDJMbu95K0d3NxKsOxi2v6fzEOOuJnQ5qduJ63MTNbmAzTHWJo0QnJ9EDff0t0LBG0x+S3cSwgY1C2ArpEEVPO6FdA5t2dDM3EXTsVKPRaNoRxk5DN5FSBQBZTqgnaIEWil2+jz4JxZESiaYhWPGKCKN3oehZ1AhF1xJMGxfxs6yAEFwb/0rSN4pMvFLh8x9Pnp+4FWKnsPFu4nrR8xIHy3qa1qw3agq6Yc12Iu4mGqasaWBj2CBsomU3ek5Cd1PovFax3YWQ2WdnOnYTNRqNRtM54dzEMHLqrdmoYudicSsJxWGoU+wHIyUSXeVhBAJRGB47xixEyvNdwLSHl/bw0qqtUByb8Nv0hkJxl3yZ6eLZ6HXuZw/z8kNfSfpOkfQDj+Xbnc9PHHTsFAbvJsL6GtjoyGn/WTh7YyjGX+ioqaZT4m4ipUrUwEYIgayETqIfSRJCtDmaz3rdxBDdxEaj0Wj6Q+gmrty+75cY4EdOTVNiGBJVcjs+1lYRijA8ruJ6GCmRKABpeOwaMzFTblNXsZ1QVAbRuItQKL4p92mOrP6N/zqew9Kuw9zc9wRuClCdz0+E9cVO27ERbuKoNLDRDA+6Yc32JHQTnZXVqIFNGDmVtqoaiSW7qYsYHasDN7GTTqeDbGKjhaJGo9mu5CdzvpsYRE691UpPx9FCceMYLZEoFLtzFqvuGtKodRWThGJFuolCcblUbpih6FmCQ87n2Fs6T1Yt8WDHYeYf/mYK6T14FiyXy03nJ8ZZb+x0FNzEfrDeusS5uf16DEYf6UfUVLP9CN1EVSxVx2EEkVMByIrq2EUMWW+n05BBNLHRaDSa7Ui41q/cvu83sCmVMU3ZVdw0Tj+FYjgiY1BsZaE4UiLRlIKit4ppeBjSaysUZVYkOoqtRmM8Wvk4Kjhp8aTFK+lvwbyXxlvzuzSFsdN29YmDjJ0Ou5u43siprkvsP/1oWtNr1FQ3rNnezDx1FMOUqGIpamAjhMDwG54iyi6d6sSNdhNDdOxUo9FoWhMmRwq37wPgrvq1ibLisbZU6v54fRKKwEBnKcLWrVMcKZHoKQ9DeJiG17FQtKXXIBQr0mvoeHru6iJjkxmEaXNi7Y+Qnm+Tl40prvNucjcUy3f8rHUn9Ykw+NjpRriJmtFhPU1r1ouOmm5fPvDh95OfzEVuYhg5lbbyO5126STCxruJGo1Go2lN6CaGkVPTNJDl5HrE+Uudnb/2WyiCjp/GGSmRKITCNDx2ZSzSpkMm5ZC2HCzLwUo5uMJtEIoyQ6NQbNPxdE9+jdnVP4te90H6Ee6tPMPYdY9Pf+FK0/rEOK3GYsDGN7GB3tzEzR6HodFotj41bmIQOTVsehKI2k3UaDSa4SRqYAO4hWJ0/3guw3jObxo5czIUfloobjajJRKB3RmTsir4TmKdq5jNeLjCxRVOg1CMj8cQOdm04+nKWgnPEhzOXudQ4QvRa1/d904KzhF2vOyw+mr1F7+XsRjtYqedzk7sJna60W5iP7qc6nmJw8HCC9d01FSzLkI30TQlolRBlBxE2fXrE5tcaW5HJ27iZo7E0EJRo9FsR8LRRwCiZNes8bkdWS5evqWF4pDQUiQKIQwhxI8IIT4ghHhH3WP/ss1zf1kI8boQ4lyTx4UQ4meFEC8JIV4UQjwVe+zdQohLwWM/0ekPI4TCkr44tAy3qVDMZFSDULSlWyMUm3U8zU1mAPAswZHyp9mxdjV6/Vce+hbs8jg7FiqsXW0UivXfhwwydgqDdRNhcxrY6LrEKuuN1vWjHnE9DDJqKoTICSH+uRDi/UKIjBDiB4UQfyiE+HdCiPzAXljTNTNPHcVeWauJnBoVv9bbNI3ujtWhm9gpuomNZhDo9Umz3Qgjp4DfrEwIhBCsJtQkhkKxU7aiUBz2OsV2TuIvAl8B3AV+Vgjxf8Qe+842z/0Q8O4Wj38DcCzY3gf8PPjCFPhPweMngPcKIU60eS0ATCEoewVS0m0pFKXRKBSNLChTRUKxIrymHU/doOupZ8Fc6aOknWUAyirF1fzbSb1WIv+aw9rV2vmJSWMxBh07HbSbqMdhDAfrnZG4GfWIG+QifgjYCxwF/gR4Bvj3+MGDn9+IN6DpHMOUeGtFRNnxI6eGxDR7D7z0y03s6jV17FTTOR9Cr0+abcbMU0f9+bgAJbv1vif3d+wmgi8UZ07t3zJCEYbbVWz36fsWpdTfVkr9B+CtQF4I8XtCiDTQslhEKfVJ4F6LXb4N+FXl81lghxBiH/AW4CWl1CtKqQrwm8G+bVF4WNLFlB4p6bI7bZExbbIpG4UDwmkpFG3pxoRi846n8fpEwyxxovDHCM9mR+Eqrx84xfzsNwH+/i/eXOT0oemexmJ0GjvthEG7ib2y3sjpul9fj8FYF+sdfbEBDWtmlFL/K/BjwEngfwnWpn8OPDHoF9d0Thg59YolRKmMLLt+A5tyjy3SN8lN7BYtFLc1en3SbFtUsYQQfgfrdnQjFAEtFPtEO5GYCr9RSjlKqfcBZ4C/BNYbhTgAXI/dvhHc1+z+RIQQ7xNCPCeEeK78oIglPXanLbKmXeMqjqddxlJeg1CMdz01M6AMhTL98Rjxjqf1jWyASCjm5OvMrHyMBzuOgJC8dvAZbu06gWf68xOTGtn0M3Y6DG5iL5HT48f2df2cfjI3t3ndPEeJXusRNxKllAI+EnwNb6vNfVeaemaeOooUIoqcyop/8pDPp3s+5rC7iRqNXp8024nwgmCcsGlNEt3WJ8bRQnF9tBOJzwkhaiKjSql/A/xX4Mg6XzvJiVQt7k9EKfVBpdQzSqlnsjsy7Epb2GoFS9a6imH8tF4ohs1sQqHoSDcSihXpRkKxIr2WQvEh5yIPrV6M3tfV/NfiliZxKh7L5TIqKKlpVp+4Ed1Oh9VN7JW52WndvGaLsoENa54La3uUUn8/vFMI8SiwslFvQtMZH/jw+2NdTh3y+TRj+UzPx+unm9htExsdO9V0gF6fNNsWVSxB0a9LbDcnsRehuNVqFGH4hGJLkaiU+jtKqY8GBdX/NIia/i4wDkys87VvAIditw8CN1vc3xZDCmxvBVO4WNJtKRTTpgPSaRCKVoZohqLMiupojLpGNmF9YohnCR5b/RhZ22/t68kUt9RXkH3NwCjB4/unO65PrKcfsdON6HTaawObzY6cbmcWzlzruR5xC0RNUUr9sFKqkLCGfSvwroG/gYCbLy3yU9/+M1oMdEA8crp2d5W1u4WaxxfO3WDhXHfNmvrhJobo2YmafjEs65NGs9HMPOVfwBNCIEqdlRRsJ6E4LA1tOu0I8Kv4efn/CPwccBz4lXW+9h8C3x90OX0WWFJK3QK+ABwTQhwVQqSA9wT7tkUpNxCIXluhaBoepqw2szHMavTUEW4kFMMZijIro/pEx/US6xMnJgzmlj+CxGWydJ1l6wi3y1+Bdc3lU2c6n5/YS+wUOmtiMyg3sdcGNpsdOdWsj16ipps09iJpDfvVjXrx0lolcpZCsagFYzLxyOlYPkM+n2bmVO0FhZknD3csFvvtJnaDdhM1HbKp65NGsxmEqZFu6LbjKfRfKM6cPjRwoQjD4SqaHe43q5SKF1H/lRDiTKsnCCF+A/hKYLcQ4gbwrwELQCn1C8BHgG8EXgLWgL8XPOYIIf4R8KeAAfyyUup8J29SCLCEx7iZZcUp4qhQLBrYnoftSRzb89+GAWMpWK04mIZJNgXFioPARJiA5ydclQFKgIdCOAJJ4Cp61dddKZYZz/q9fPaOLfPYnT9lYc83ArC48wnG3rjNnpfPsrpWJH8wC/hC8fED0w3fh5y9scjpg43C6+z1xRpHMuTk0WnOX+mfI3fyUR3l3AosnL2x7s6mm8FGuIh1dL2G9RUpKCyt1YiGmaeO1giDmtbg25gPfPj9fNPkD6KEQJabd76befIwCy+8ysK5Gw0iMomFszda/t7NPPMoC8+9zMwTD7c91qUXrjL75JGW+8y9bZb5z1xqe6w4P/XtP6N/D7Ynm7Y+hSmHrYj+W9m6hOt8My5evtXURJg5uZ/58ze7GoU2c2o/C+duMn/pFnOz6zcnZk4f4tLZ68wOuLfFzBOHWDhznfkLN5k7sfHnep2KxBeEEM8GXUgRQrwV+HSrJyil3tvmcYXf0SvpsY/gi8iuECiyRgVbuVgiKAKUgEfkmY5bsGJDklCUBkjhkUpLKmUXA8Ofmej5pZIV6ZFCIsckqugfFvAFog0rayXGcxn2epdYWj3C7TF/cseV3e9i7ObrTLx6i4JT5Nl3HOXF1xZ9cXh4mnOvLtYIxdOHpzn7arKb2CrSefLoNOeuLHLq4eZ/OCePTnP2yiKnW+wT59zVRU514GJC0MDm8mJHrmc9F15Z5MQjPcZcX17sOSK72Sycv8nczNZzU9cbNd0Eul7D+oqUyGwGkakW52vB2Jz8ZI7ltRKU7RoncOHcDWaePBzdDoViO2aePsrC8525egtnrrUUirPPznDpswsdHSsUimG0SqNpwqatT/GUw1aifs3shO2+rg4zjlt1XuaO72f+Ynv3bP7S4lAIRWCgYnEzhWKnIvGt+NHQ8MzwYeCiEOIsvt57fCDvrkskCku44Y2qiutQKI6lTFYrDgYmQgqEkJgZgV1ysUzDH4/h+YcSZvWwyvC/5iYzYAf1iYW/YNXYRSGzFw/JpZ3fyrOf+09MlD0+b18hcywbve9TgVCMEwrFejfx5JFpzl5NdhNDzl1rLRTBb2LTTihulJt4/Ng+Ll7uLQYwNzvdU8crzfrqEWFLRU1hs9cwISCbRWT9JiyF2/cZm6iuAc0E43Y+qQljSAvPX2kZGQ2FYj/dxHaEQrGdmxi97hevdCwUtZu4Ldm89UmKmotXWwFVKnclbMO/vU5Epf7b2zjykzmWCslx07nj+7l48WZLN3Hh/M2hEIoLZ69zaf7mSArFTkXiu9vvsvkIoTClCx64ykUIg6w0KDguUhj+D9tEKBoSBF4kGDMZk1LJwTBMMECJoJFNWSERVIzAVQSWS2WkEziK+PWJ0lYcX/ljXrD+No6RpZyZ4MXH38OJ278DwEq5zNsfO8yL130H8dThaV58dWNip91GU7txE8FvYNOLm6jZHmxC1BQ2ew2TAjIpSAcnY00E48rt+zUnP9vVXZx56ihf/KvzUC5H/2b1LmI97WKn/XQTQ3TsVNMnNm99kjJai7qlsNy+niw/0Xt34sTXvO03B4xfZGtHp4KynTup/yYHh2vByloZw+588st2FIoA82eub5hQ7EgkKqXa53mGhLS0MYWLKQ0cD2wFeRMcT3BnbBKxWsSyfbcxLhTH07BSBtMwfcEoPIQhEcoDQ4BUKEAZAg/l1yrKqqsIfm2itInqE3eNVzhx9yO8uOc7QQjuTx3lJeureSj7STwDXry5iKB5fWKvsVPYPDfx+LFpLl7eOs7e3Nx+Lszf5MRjWy/yuVn0GjXdRBdx89cwISCTpmB75PNp8gd3U3hjmfx4lvzD074YgppIajPBuB1OVMJ6lcLt+5DN8sWPXyC/u3lD7U7rE0Oh2E83sVO6cRM124tNXZ+EqF68akJhpdhwX373BPmJzsZlF95Ybnz+eOcir+Z5wTlL4c6Sf7sDEbq6XGwrKtu5k1pADhal/H4f47kMF15a5MRj023dRNh+QhF8sTh/xo+5Dlosduokbglq4qb+HeCBY6S4dfAZChN7kZUyUy/+NVbgKFoSlJJUPLAMUJ4kn4ZC2SGbMSmWIJUxqJRcTNPAtl0sDH9Woue/hHKa1yfuUNc4uvQpruz4cgynSCE7TVo8RsZ7ieVymYl0mvAtn2pRn9hN7HQY3MRuOX5sHxcu3+q5LlGzsfQSNYVNcxE3HyHI7p9k7e4qXjqYnZNJQ/B9YaXonzTFHMa4YIyfwGwXdzE/maOwtMbE3ikKFa+liwid1ydC+9gpDMZN1LFTzdAhRbQOARQK5YZdcgd2NdznNdzTnKTnF+pG2wDk853HXsMLbYWK115wxtbVXmglIFtFWfXfb+eolD8ifWWtzKSVqnmsVRMbqArFbtnqQnEj4qedjsDYEohAJBpUENikpU3GqHB31xGKk3tICQfSKQqPPY4nPRjLkU+DN5knJV3GLA8hbQyRMBrDVGAovy7R9KOnygTPSJ6fmJv0FyTXEhwsP8feB2cwpMNq6gCvya/FuDXOpJmO5ie2GosBJI7FgOazE6H9SAygo5EY3TaFOX6svdPZb7ZjJ9b1dDZdbz3iRtGJo7MVcJXCS5lk9k2yYjuotIFKm6zYri8aA8GYP7ibQsXzr+wHJzYiEIsik446pNaP0xhFZp466gvFIF7WKe3GYnQzEqPd7MRuRmLo2YmaYcRTsGK70ZbdP9mw+etVf7ek14m/j3BtbLXlDuwid2AXBdujYHu+2E3YwnU1WlvrtsJyiVWb6npbvwXrb9IWrsf1G9SOOxrltbpXZp46ilcsIUsOoqLwSm5D3LSbc5xe+lP0czwGbNwsRdiYERkjJhIhIxzGpEfecME0EBIqE7uxsBEoTFxKUw/xxhNfzevH38bSzJOUH38zzoH90TzF+AxFaXgYhoeQvljE8OcnKlPhmQplQsXwWs5PHJvM8Gjl0xiG/8vvygyvue+mfKGYOD+x/vvTTYRjq7q/k0f9x1oJxXCfrU43EQPN+tiKUdNhQAlYqlTwLImXMliuOGT2TeKlzeiEqV4wRjWM6XR0AiNjJyzxE5JRPAHp5Sp86DZ2Mj9x4WwbMdnF7MRLL1ztaF/QsxM1w4WwDDL7JqPNS5ldbcsVp2br9vnxLf4+wgtq4daJ4GwlLnMHdkWR/yQRSSbVVEQ2E5BAonAEtHDsAlG2sVZdpsZz5HNpTjzWeE7XrrlhOD9RC8X+MlIiUQrl1yMKDxOPW3tOcP7YN+BkxpB4SFwEijQOypSYJpR37AEhsR89jjszSz7lIYTNWMoD4TCW8vCkQyajcIWDlQFMXyja0vOFogHKCuYnBo6iZ/liEfxupxMTgtm7HwHlhzSWxw7yungrY9c9Vl4rslKuRjxCN7FeKHbrJnYqAjt1E8916Q724iZeeGX7OYJbjY2Kmi489zIzj7eP+20FpGXgpSRLdoX03jHclGSpUiGzd7x6YhUIxtBhDK+Q1wjGwF1cXS4mnpCM4kmHvbLW1f7tYqnQmZsY0s5NDOlEKPbiJo7a/0/NkCHAs/z1qNvNHjNI7x2r2ewxo+vjeJZM3DJ7x6OtEzEaXnhrJix9V9RMFJOtRGT8gl078Rhfm9sJx5DtKho/8OH3++4OYNoK2aRpTaduYj+EYr8IheJGMEihOFI1iQKFgYchPKQ0uTt+CNdIhb+DeEqCEHgIDAGuAqNSxE2PAWBPH8TNjmGcPYuw3ajjaX0jG1soTNPwxaEgqk/0Zyr6Wf2JjF9r6NpgBGMxJuxbHH3waa5MfTkAN6bexuTN6+x4+RrLh00ef+t0VI+YNBYDGrudhk1smnU7hdZNbLqtTeyUXhrYrGcUhmZ42e4uIoCrPOwxA8NWLNs2+YfGWHtQZMmuIAPBOL53nOX7a+T3TbJ2bzUSjEnuYrzZTdiUId7oZlSa3IRdTt1CY+OMdrRrYgP9H4nRCXp2omaYcJViya6Qe2iso/0La9UL2su2nbxT3iSf67y+cOlB87/v/Jh/nPTe2ve3dL/2OeNjvrOX2TtefX/3/QtM+Xy1HjGzbxKAtXurrNhOTR1kWDe+YruMxZ6TO7CLwt1CY81kvGN1dJDG+sf6kUcAs08eSex63KxBzlZfy5shhX+GLrImc7P7mL90K2pcE6eTJjbQe30i+EJx/tzNvtQnQnWO4qDrE2FwNYoj5SQKFGlpYwkXARy5d45c+QHStZl+8BKGWwEgV7gDrkeqvMLxix8h/8bV6Bje5BS8/ctR4xnG0y4Kh3zaQwmnaX2iCmKnIiej+sTlUrkmdgp+neKcOMeOQvB6QnB5zzdi3FbsWKjw2U/7J3jx+sR+xU7b0YmbCHTtJmqGj17rEXuNmkJvLuIooaSfLrBzgszuLEt2hcyeHF5KknloLHIZQ4cxHkldsZ0oShV3F+trF8MoarxucdSuTM9fuBltregkdhq6ie1ip9CZm6hjp5qtiJL47p9d6WjL7M52tDk52fEx7TEDe8wgsyfXsC3bdsPmWf66GW7h+hlubkrgpkTkbia5lvUOZZIbWe9CJrmPDc5jkusYry8PtksvXG3rNsYZdbfRcf2UXTuB1omRMHNy/7rmZ/crdgqBUNyA2CkMxlEcMZEIBh6WcMjICq/seoK19A48w+KRu1/k2Vd+n8O3nuPkq3/Os/P/gycu/wkGJY5e/xxTr51FKd/qFlLA029G7N2NZbhRI5tsykNJp6E+UWZFVJ+o4pHTWOx0Za2EZwmUBU+5n8By/CtcldQ4F2a+DVnxMNcUD5b9q2Ot6hP73cSmUyHZbQMb0JHTUaPXqGkvjErUFEAJgZ0TuBY8sEvYOViyy9g5EZ0keSmJkzfxUhI7b9YIxvo4amLt4giKxfjV8/CDr9MPwn7FTjttYhOiY6earYQwJZndGTK7M9g52m4P7FLHW7tjha8bbkt2uWGzcyK6uBZuSSKzmbCMC8q4mIwLyXCtDUVkKwHZGGU1a8RjJ8KxsFxqW98497bZpvFU6K62causHfFzvwsvNZ4HdtuobxjqE2FrC8WRipuCIi1sPCQo2Fm6zRu5A4Di7o7H2P/GWY4sncU1Uqy5FUzhYokUNhUOvH6RNx6aQ1oWAhBC4B0/Qcp6mcrV1zClBcJDGpDJSEolBytjoiq18xOFIxLHYkibYDRGmfEczN39KGf3ficAb+yZ5br7FiatF/2fwgDhBjMTu4ydJtFppLSTuYnQ+TiMjYyczs1Oc/7SYk9Cdiuyns6mG8nCF69uexcRAAlOFqTlR2uk7V9AkrbCtaqRdGmDa/mxVC8lkRWP3FSWpfvFmjjqyr1VZHByItqIxVGIoSqlog8/6C5ao2OnGk1z/LipHyEd21WNSYY9FfqNP0faZ2m57jVygnrC/R8sl2L7xR7P+e95aSn+uEi+f8xgPIjBLsfuzwdR27AEAPyYa3rvGGv3i345QCzOunZ/jeWKQz6fIROUB8Sjq6FwjCKrsRm5/u3GmGr9Tx46jSFJYzjq145uhOJQfQaUKjU3w9hpM9qNxIDe5ydC/0djhGzEaAyoCkU+tv5jjZSTKAFTeEg8TFFmf+k6oDBwuL7rBK9Mv5U3ds/gGZAzPEzhkjddf2yGKHPs/B8j1tZ80Qe4QqKOzWDMPho1sjGk3/FUGApheDjC9RvZhA1sgrEYFenVjMWIdztdWSsz5b7KoaXnovd+Ze9XUkg9hJH2/5fE6ws7jZ3CcLqJmmQWzt9kbqZ/C9AgWU/UtBdGyUUEv3a5IjycdPA1668RTk7gWVWX0c5VY6muJaKr4klx1DAWFcagOnUWYetcWW5FJ1dMh7mJTXRMHTvVbCbBBSwnS42Dl9uRJrcjjZOmL1t4vPhrhK/bbMtNpVlyyiw5ZZycqNmyuzJ4lmh0HHdlyOzKNLiZmd0ZPIua/TO7s7iWqEZpAyfSS8nIiQxdyLgDGXcfQ+cxLBFIiqyGDXOauY2FlWJLpxEaXUZoHk3thK0QXV2vmxg2sumFrdzxtJ+MlEhEKNLCISMc0gJ2VN7AwMVAIfC4O3mI13afZHXyEAYVcoaHpBIJxR2iyCMLH0WtlXCQiODajnz4YeTJGQzpNa1PtKWLMhUV6fri0KqdnxjGTkOhmJvMcHj104wX/V9A6ZV5Q74Z45qsKcjuJnYa1iYmCcXNqk3cjJmJ3TI3t58LL22PhjnrmY/YbdS0l4Y1I+ki4tf9yJzEy/i1y24ayEn/BCo8KcoJKlLVCMYlu0xZeg1x1LDOJjoxqROLBdtrKha3egQ1TqdCsZPZif0ciQE6dqrZGigBbrpxC8XU2I50tHkZutrizw2Pl/RaSZtnwAO73FRwNhOZSaIyFJNxIRmP/ocisp2ArBeP8fhqJ8KxPqbaNKJaF0+t754ar2fsp2AcJlo5eHPH93ecOFtPfeKgOp5uJaE4UiLRr0lUGMLDoMzR4sug/Dho+DhAKZUlJ1WDUJRUyHolZi/+Adb9N6K4KAD7pkk9faptfaIvCqtjMWzPi+oTxyaq0QHPEuQnU5y4+xHGyzexsgb3x2Z4nbeRu6H4zMVXUYa/74uvLSaOxQCaCsUkTh6d3jJuoq5LHA26jZrC1nERhRCGEOIFIcQft98Z3EywZf0tPJFy01WXkbxsEIxq3KAivchdtMeMyF0MaxejURqBWFRps6mzOCr1iiHxGGor+jU7sdMmNt3Qy4mdRtOMbtYmJatrUtK25JajLTeZrq5jHWzx57Z6jfpNma3FZzOx6RmNgtIzk4VkKxFZLyBDB7JePIa1kKF4jLuOzRzHTkRjtHZHW1Uw5vdONW2AM/e22ba1jK0Yhs+Cbs79uilNGqZGNrB1hOKIiUSFJRwsXNJCkhIuWXcNV0mUB5ZTZEfxNqvZ3QgqZIRdIxStIH6aEi5zVz7G2OLLeLGxLeaencinjmNKXyhKwyOT8WOnGCqan6iMwD0M4qehm6gMf7EJu50CTE1V2Fc8R0n5AvLWzqexV/aSedlh6fXq/MS4UAwZROwUOncTB0W7rLlmY9moqOkWdBF/HLjYyY5KKtx0uAUnNRmoGJ5/YtREMIaRVDVu+I5icMISdxfjUdR6sZgUQ23V3GaYafWhOvPEoS0bO407AZ0y7P+vNJtOx2sTTZzE+Fa2PMqWxwNKsXWs/RY+r1P3MNxKKa+1AG0iLpMEZTshWS8iPYsGARl3IEPxGI+vJrmOSY6j3yynvWis76Ra2winKhiBBsEYisZQMEL3LuNmicUk9zApcgpbN3YKGztDcb2MoEj05ySGYvFr7nyE77j+S3zPqz+PxONBdi9r1jheZgJTuJGjaAiPrFGJXEUDm4M3vsCuV89EQlEpsHfsIbsjW1Of6Aq36ViMeOw0PhYj7HYKsHftPDuXgxNkIXjp6DdjrBpMvuIh7ng8fqBWDK7XTWxFN27iMEZOz788+g5kJy37E5/X4YltEr1ETUfcRTwIfBPwXzrZXwFeWtVs9YIxOvmJndw4GaJIKuNGorsYj6KGYtHOW03FYqHiNURQgS3hKl6av9lSLK43dgqduYmd0I2b2EvsVKNJouu1SaqGtaliuTWbyIPIN65h7bbweW7Oqzle2+eNC8opt6X4TBSYHQjKViIyvECXJCA9q+pAZndlqs5iB8Kx3m1sJhrj8dRqN+tal7ETwQh0JBiTtjib/XnQSdOYrRg7hY3teLoeRkwkgoVLRjiRWDQo8cbYIVay0+TdZTLOCnuL1/GkIiNtJGVyUpGTvlAcC2KnpnTJGx6737jI7oufwvMUZWGhrAz2k09jZExMw8OQHobpkUqrjmOnnuXPTAQ/djo2meEJ+9OYrt9ta82c5LWpd5C7WWTiVadmfmJ97DR0E5OE4lZ2E3uh2w5WW5leO5v2Wo84aLagi/gfgH8Otan0OEKI9wkhnhNCPOetrfonRylF2XRxU3UnRpmYaKwTjLb0T4hCsZjkLoZR1HjdYitnMX9wd9sI6rCQn8yh1krMnD7UMqrTaevvTmYndoKenagZUv4DXaxN7uoqZdOt2cQYNZuXUuve4seLv5abUokbY4JyC0GZJDaThWUblzIuIlsIyLh4jNdDxqOrzYRjPKraSjSG8dR6l7F2bmN7wVjf9CZJMCZtkOw6Duta08t50HqEYj/dxJBhF4ojJxIN4buJoVi8uOPNnNn1dj4x/Q0U0jtxzRSvjx1CGgIDLxKKlnDJyQoCG0u6jBsuQvhjMh4q3uKh8x9Hub7zp7I5xFNPkksD0kEaHobh4Qqno9gpNMZO3cJdHr3zcVCKHUuvcmPPU9zLHCH9RpmJVyqULheB/sRO++UmQucNbKC7mYnHj+3TdYlDQC9R014a1sCWchG/GXhdKfV8q/2UUh9USj2jlHrGmMhByoO0h0r7XyuWfzIWnhRFJz6Z2NXyuhpGN5PsLtaLxYpBjbMYb3ATnmTEm9us2jREUDf7KnIzOhGKTZ/bYey0UzdRz07UDBO9rU1jmHlVs5H2cCynrxvBukfaq3kt23Jqtvh+Rp5aBzImON3YBbf4Vi8sG8RkpoUrGROPUSlAcGEuFI7hRbv66GrcdQyFY7zWMaxzjIvGZk5jvcsYNsFp5jAWCuXkTqlU3cV4Q61m61EzwQibG0FtFjkN6cZNXC/brT5xoCJRCPFuIcQlIcRLQoifSHj8/UKILwXbOSGEK4TYGTx2VQhxNnjsucajJ2PhIVFIYSOweSP9EAIPgQcodpZe58jKPLvt+2SkHQnFtLCxhN/lNC1tpAhrFD0EFfLFN9hz+dN+5hRQO6ZQp09iSq9mLEYq0z52Wj8Ww7MEuckMD5UvcuDBCzyYPIySBufe9F3MffmTGBWPyZdLVC6sIR3/56wfiwHdxU5h/W5iNw1sjh/bPi7fqNFt1BS6a1izBV3EdwDfKoS4Cvwm8NVCiP/e8hlCkRnz8EwbmfJwTScSjbbloNL+yU9cMFZPaGJXwBPcRfKyptGNnQM1btSIxbDBjZcycMbTwVXpuuY2sQjqsLqKIe1qOtbjJkb7bFLsVDex0ayDrtcmJRSeaTdsmTGvYTOzTkdb0nOTXsMzbYysQ3rMizbXdGo2a0xhjSlIeTWCs15khqJShcIwJijjYrKlQ5lp4kA2cR7bCcf6Osd4TDXsYB2Kxvp4atxlrBeM9ZHUeA1jbdObqru4cOZaorvYTjACQ+0qbrSb2G+GvT5xYCJRCGEA/wn4BuAE8F4hxIn4Pkqpn1FKvUkp9SbgJ4FPKKXuxXb5quDxZzp6TRRSgCUUKSRKZkAoXzSiyDmrPFy8wjvufoy8e5+UcCKhaAiXtLDJSV8chjMU/YY2HpZ02btyjZ1Xvxi9nje9D2P20caxGF3ETqNjBbHThwufJVNZBsCxsnyYZ8kUPVK3V5m8vEbl/CqfPf9q9Lx2sVMYLjdRszmspx6xq9cZcRcRQCn1k0qpg0qpI8B7gL9USv2dVs8RQoFZwUy5WFkbI+ViZp1INIqsi2M5qNjV8/CkRgS3I8FY7y6GtYvBFe8ksRjGUONi0UubuBOZar1irAvq0NUq5jKJV3B7iZ2GbqKOnWpGjV7WJikVqazdsGFWarZ0usJY1iGdqTTdxrIOY1mn4bmYlcTXSGVtcjkXTDvarKy/ZXMu2ZyLMm2UadcI0LjIrBeXoaisF5RxlzIuJOOOZFxARutuC/EYRVdbCMd4nWMYUw1FY+g0xuOpYU1jr4Kxpktqn9xFaHQVB8XcbHKKbFjcxO0WOx2kk/gW4CWl1CtKqQr+Va1va7H/e4HfWO+LGoEgNIUiT5m9ldejx7767v/k6ZXPIfFICRcTNxKKGeFgCg+JHzv1Y6iBYAzqE6Ww2fX6BSYXL1df8NFHEQemo26n3cRO8/l05CaCH7GcHBccv/0nCOUCcFPu4sLRd5FSHuaDEqmCh1fwOo6dDpObCN1FTjX9pdt6xF67mo64i9gTUihy6QrZTAXTsklnKpgpByPlRKJRplyMrBO5jEmCMTxhIS+ik5Ryulpj00wsxmsWw9EZdt6KxKJKm9VZXTFXca3iRa4ibI4gKSytRd/HP5x17LSKFoqaXpHCI5euNN2yKX+TRoV0qsRYutJ0S6dKSKP6nFbHDTfD9NfF+k2Y/hYXoWbKqRGccYEZCsu4qJQpt0ZMxoVk6EyaeYUKEh1JArKl+5hp4TrW1TkmicakeGrcZYw3wWklGMOmN/Vx1PqRGvViMXQXZ5+diS5k1W+Q7Cr2e81RSjV9rF0Dm27dxPU0sQnZLt1OBykSDwDXY7dvBPc1IITIAe8Gfjd2twL+TAjxvBDifc1eJF6Aff+eR8qYxMCvT5TYWKoCKAQetzP7SSHJSIeUcBqEYlrYZKWDgYcl3KjjaU5WovpES3jsu/YcmXvVExPv5AnMPTsYS3UXO10ulfEsom6noYDal3nAkTf+GizAgmuPvZWbB0+hMr4LALBSLkdCsZPY6aDdxE7oNnLaa13iVuhwunD+JnMz3Y/6WDh7o+emNb3QS9S0W7aSi1iPUurjSqlvbreflIq0adecUOXSFXIZOxKNqayNmXKRKf+Keb1gVGk/OuVk/bqbRHexiViM1yzGR2eEnVAbIqgJruJmz1VMivro2KlGk0w3a1M+XSafLjOWatymcsVoC/drtcX3rz9W0v65lL/VC85cuvG+euFZLzDjotJMOZGYNFNuJCSNlNsgItNjXlQGUC8g4+IxKb7avHlOZ6IxjKeGNY1xlzFey9hKMIZNb+rdxfpmN63E4sKZa5FYDDeojaUOWiiul27mJq6HQcROYTjdxEGKRJFwX7NLBd8CfLouavoOpdRT+HHVHxNCvDPpifEC7N27UkhvmZQQWEJgYPK19/6K2bV5JIpzE09yO7ObFB6m8GqEosSNIqe+s2hHHU8t6Qb1itUxGXsvfwqz8MB/E1JiPPUExkSmp9jp2EQ66nZ6/Ng+PAvk+BgxtcsLz3wPq5O7cFOBC5nz/7hDgbie2Gk/Op0OS+R0O3U4HTa6HXuxXVxEAEN4jKfKjKdKjKfKpE07OkEaS1dImU7kNGYyNoZlY6ScGsEYj6SqtGpwF1uJxbBmsSy9mtEZ8U6ocVdRTY7VuIqry8WapjawOScIzaI+WyV2Cp25idExdexUM2AM4TFulRi3SuzKFqtbZo1dmTUmrFLP267MWs0xw9eJb+FjeasUbeOpEjuzRfKpkr/FRGVcbMbFZSrpIlzohmZqUxz1IrJeQGbGvEhAxsWjEwlG33kMkx4thWO921gnGus7qcZdxnaCMYykepGb2M5dNJvXLVIViyFJgjFehgAbu+60ipxqN3EwDFIk3gDiP/VBoJlMfg91UVOl1M3g6+vA7+PHV9vgYhk7kAgkDikhyAmHN6yH/EeFyV/s/iYepKYahGJGOKSFgyE8TOFEmyUc0tImZ1TIGtX6xDRlDix8Eln2u45iWfD0mzCzRtex05ViOep2GrqJj5aeI+OsVP89LJMvPvl9pO55jF/3WHnNf93HD0z3JXbajE7cRB05HW4WzlzrKWqqXcT+YQjF7swa41aJiVS5esKUKjMeO+mpnuDYZNP+yUxcMIqUAykXlXLx0i5eysNJeTgphZPyOhKLdk5EYrEsPSoGVAyiCKozno7EYugq5h+ebtrUZjPEyUbGTqH/buKgYqcaTbcYwmNneo2d6TXGzWKwrbEzvdqXrXrMYvQ64TaRKjFuFRm3iuzKrLIrsxqtk+NWiZ2ZNXZlilXRmS0Gz6kKzFBYRqKyjZisF5Ep045EZCggw0hrvIY8FI9x51GkvIau1fVNyDoRjWEn1bCLqjI7E4xhJLXeXazOYWwtFsOuqM2cxThxsRiO0uhnczOVNlo+3snMRNBuYr8ZpEj8AnBMCHFUCJHCF4J/WL+TEGIS+ArgD2L3jQkhxsPvga8DzrV7QYEB3jKGEFjCQiIY81b57rsfJueuAlCRaZ6feJaKmU0Qin7kNCVcMtIhIxxy0o4a2YT1iWbQ9TRtL7H74l+DG7QczeVIvevLsfbvjGKnwqyNnRopgTLBSEs/XuB6Nd1OwW9iI4F3LP4OwnPDH45SfifXHv0mrBWHHS87rF0t8uJrix3HTmHz3UTd5XQ06bZhzXZyEcGv+8mb/olOeOI0kSoFW5ldwYlR3qpeOU8SjKmMTTrrYGVdzKyLzHmInIfKeagxhZNVODmvduZiglhk3EDFtwmrJoIadxUd06RgexQqXmJTG9iAq8mq2pFuo2OnoZvYiVDstIlNN2g3UTNITOGxK7XKzti2N1NgZ2qtT1v1uLvqNv/+2v3zZqnm9rhVrBGc9QJzV2Y1Eo5xQRneNxFciAtTHNH6mqq9MBc6kWGqI+5A1ovH0HmsF45xxzGMqtbXldeLxmYuY5JgrAivQTCGTW/i7mI4UqM6TqO1WMzvnvBdRYjEYrieNROLcVcR+r/29FJqtBluYj8ZRjdxYCJRKeUA/wj4U+Ai8D+UUueFED8qhPjR2K7fAfyZUmo1dt9e4FNCiDPA54E/UUp9tP2ruljSdxINZCQWd7krfPfdPyHnFdhTvsWN7MP8+a5vQAgRCUWJWycUndhoDP/7sD4xa9gIKpjCY6z4BnsWPhuNxhBSknnL4xhf/VaMrIGQXm3s1PBjp14QOw3FYhg7DZvYeJbAMks888ZHomMj4PrOWZbKB8jeWG2Ynxj/2s8mNoNwEztlI+clXnhpY65AjSrdRE1h+7iI4J+ITVj+yc+EWWLCKlZPhNKrwclMVTROpGpdxrhgzKTLUQ1jvbsYRVFzgVgcUzgp1SAWS5ZX4yzaOfy6xSCCGncVxc6x2lrFoKlNUvx00CIl/oHe79hpKzYrdprUgr4dWihqusEUHjutAtPppWjbZa30bYsfd6dVqNmmU8vssgqxbZVdqUKwJQnJRoE5HhOVoaD0vwbuaCAkQ2dyIlWuEZHjqXIQcS3XOJHpSDTWise05ZDNVLAsp0E4ho1z4lHV0G0MRWO901jTECfuMiYIRpGTkWAMaxiXnHKNuxiO1IhHUduJxfpuqOBfFJt55tEasVgfRQWienXobe3xlPI/V2K0cg3bdTndSAbV6XSYMAd5cKXUR4CP1N33C3W3PwR8qO6+V4AnenlN4S1jyR243lJ4D0KkuJI9jCltSqksCI876Yf4m6kv5533P+5XSkooeWAIMJCYCFwlMIVBRjiAwBaGX5+oXBxh4EgXR0kml15j6e5NKrsPoABPCMyJHLlv+TKUB+6NN7D/6hJIhXIV4LuJHiBMX6nnM2lWHpSRNoxn0xi2/+6z91/ioHiOG3ve7N8hDV78svfylZ/8OayVFSZf9lixFZmZHKcOT3PuVd9ZfPzANKcPT3P21UVOH6wVcGevL3L6UO19J49Oc/5Kezfx9MP9EYPnry72HIEdBHNz+5kfMpu/nl6a1vQy+qLbqKl2EdtjCo9dlh8fdzwDW/kbCGxl4HjSv88zcJSMvq45lr+/J4Ov/r5F28TwJFK6uK7E8yTKNfBcD7ciUYZAuhLXAWGAKoPngDQEygVhQ7noYQiQMthyAs/2/CY7qcbrh5JqoXlhuUR+IsP43ilWbt9n4YtXmHnKF1LhicIHPvz+vv4bzpzcz8J5/2905tR+Fs7V/r3OnD7EwtnrXJq/yexc7d/JzBOHWDhznWbMPHmYhRdeZeZU6wsdC2dvtLwYMvPMox39fs8+O8Olzy603Q98oTj/mUsd7avRdIspXPYEa5Mp3IG9jqMMv89CDFfVrjP+mtj4vRvzM2zPqB4P8NdQWfvVkwiouR0+LiC67QSvHx3TM0AIbFcgUoKKK3EMGdwnEYLgq8BxZXSf60mwwHElpvSP6bkScPFciRQCDxcp/Mdt20FJARKUVAghcF2FKxRSKoQLnvRvC1fgBuu0cMEte1gZiXJAOH75kjRBOkQjNWRQvmTYMDaZZWmphJGS5HZkWXpQRNaJRQms3V1lLJ9h7W6BfD5IigTpiaiL83MvR+cUM088HK1joVCceeooP/XtP9Pz2n/hlUVOPNL8vHBudl9Houzi5VscP9Z5Y8D5S4tD089i5vQhLp293vAZtlkMVCRuNAIT09iB6y5hyEmkt4QHLMk0Z/LHsLAxhS/SiirDTPGl4LYXCUU8AcJFIBBS+LclOJ7AEhJXCCxhYEuXvDAAm6ILey59ijvOs6w+dAQZLBKGBCVBHN5D9ivA/tRllOO7gp4LEoGyfLG4XCoj6/5veJYgN5nhdOk5HhQfppDd6z9gGHzhnf+AHy/+MV/4qwtMXnZZsRWfLbzKsycPc+7VxthpKBRPHpluWRN47toipxKEYCciEvzI6ak24u/4sWkuXh7s1aDzLy8OzN3canRbj9gLg3IRL32usxPpYcfAZYfhj3JwpYxEokDgIAJRGIpHk6JrYnsGGcPG8SSOMmKC0SBr2hQdy3/MNXA9Qdk2EYZEGBLlSpSrcCsC4QiUIRGuLxaVK3zhaAHFQDyaIC2B9CTKVtg2SMvASEncpQrSEEhDIg2JME3MHWkKpTLY1HQ/BWrEYr+FYpyZU/uZP3ez5qpzKBSbMX/hJnMnmv89LJy70VQozjx9lIXnO3P0Fs5cY+aJ1r/j4QnW7JNHOjtmTIi3Y9D/9prRwRQuu01/NrOB13JfSzR/3Fatg2luQ3BN1AhBqBWN4WM1AlEZCCN5v/r9bc8IhKJRt0+tiPQFYlxAGmDiX6wzquLRNoLjGkYkFm3P/97xDGxXkDZFsCYLhOULSSxfRNaLRl8seiD8c0zbVggp8ITCsT3/7phgrDgepumvwRXbw7Qk0ga34t/vGSBdv4TJzPmPgeKBXcKw/H/vJbuCEVwAXLIrkViExgiqLNu+q1i2G8QiVC/2xi94dbNGwWBSD3PH9zN/sfML/vGLj5pGRkokAggEprEDz1tCBIJxl1fhIWeJFSsHeFiqgvAUj5Sv4fpPoioUHfDABRwEhvBdxYyQvmgk3GDNA1NYmMIgJV2mLn+e3KsL3H766zBMGe1pCEXmkT2IPTtw7pfx/uZl1J0ydsVDGBIJKP9lmcikCcsQQzdRWfC2u3/MX+7/u7jSt+VXjRz/5cEpnlp5HrkEmXELJyd58bVFJDS4iXFOHpnm7NXe3MRWnHx0eijGT8zNTg9Vznwr0e1sxEG6iKMiEMFvDjEZikQla05oHGXUCEcX/+Sk6KVq3MWMkaoRjFnTDoSj7zJK6eF50nclbdM/KTEEuAZuRUVi0SsrDFOgHIGnwHCC9ccBSl7gLCqM4Gt6MoWqeKiKBxULUUmhyk5N++rV5SJjE1lUqTxQV3Hm5H7mz9+sueo7f+lWQzyplZvYTCiGbmLL1w+EYiduYidCEfzYaTuhqN1EzaAwhcceoxDdNvCatqHvFS+hsikuKuNCML5vKAYb960KzOo+RlUg1onJuFB0kXVupC8QQwHppzpCB9KocRsdFXuu4Sc8hKh1HB1P1riN9aLRNapOoxE4ixU7wWV06wSj4YtFZYArwXN8R1FYkkrZX7dN079I6Ll+HFVaAmn7pUyry6XgnFLgWgaG7f9fdlOCldUKRuAq5naNsZrgKoZiMVz74utcKBTD9b/Ti1Rf+POzoPCjrluUpIuVo8QgG9dsOL4o8/+TCIS3ghT+7e+++5eYbpm0KpFhjRPFS5hCYAAGComHFB4GHkbQpMavTwya2kgbiYsVdECNj8WwpIslXcYtj5y9wtTnPopbrNQstBJFajxF6uEdpL73zahju6LZieE4jHB2YtjEZmWthGf5p2KnZ3by+Mu/Xa1PBF4/cJzXjj0b3fYsf36iF0j/eCObTpvYQOvaxM0ah7FRdYkbwbBfteq2q+kgaxFn39RZ98lhx0Cxyyj4m1lgj7nCDmOVXcYKu80VdpoFdpv+95PGGjvNVR6ylnnI8mt2dlrVOpxxsxTU26yyK7PGzsxa1DI+micWa3QjU/4IDZnz8NKu3+Am7IaaVzjpar2ina7tgqrGjZoOqBWDmqY27eoUQ9Zzxdh1PMikE7vWtWpi02u301GZnahrEzWdYOKx01iLtkmjxC6j2NctfvydxhoTssQuYy1x2ylX2SlXmZRr7DQK7DQK7A62ncYae4wCO+Qqe4xldgbrabimTptL7DJW2GMus9tcZqdZYNJYi9bWKXOV3eYKe6yVaI2dMgtMmatBTeQKO4PayAmzWLPm7orVRvrdVYtRzWNUS25V6xwzRqWma3VY2xjWNYbjODArmCm3pp5RpryoAU79yKOohjFWvyhzsqZ2MZy/WF+3GO+I6loCLyWjbqhhveJyxYlcxdyufFXApS3/ItnZG40x1EAodtPI5t1j34/nKeQjhygdGOOZL+tszZyb3ddRXeJGdTkddUbQSQS8ZYScxPOW/HEYQlAwxkhLG1CklMNc6VUMQAqLirL9JyoFQfxU4EdOwcYN6hOz0kF4AqQv3GxPYkuDvDAwhEfBqSAFZJxVJr7wMZaf+gpkfgyJwgskrEThCuDNR1EvvYHnBLMTJb6zaPq6fTyb9uMCgZt44ZVF9mWgeO8zzO96e/DDCs4+/W2M330VkfZ3zOfSEF5FCpquhm5iJ7HTjXITjx+b5vzlzuoSjx/bN3J/8HMzg7/q1Mvoi0Gy8NzL2y5mGmIIj0npN5ny15PgajL+VWvXv0yFqyQlZWIrM/jewlYGZc/CViVKnoVtlnyX0ZMUXZuia5ELXMXQXcyYDiXbxPEMyoaH60ocW4Eh8CoGyhCIskS5YBigSkG9IoBTjaBSVEGtIqQyFspWVGLx01TaTKxTBAYaP62vIal3E3Xs1EfHTjXtMFCMC78+eXDUepOuqo2txm+FVZGeCm+Lmq+hsxe6hq4S1X0S1tXwdtyVdJHRGuvfFyQ4lIEna93H0HmMR1fjCY+449jgNgb15LYR1J17BpkgnhrWNLpe1WU0pR9LNYWi4rhIIYLSAYGZ8V1GIYVfa+6Ccv2oqTJAmBLX8FCuh/CoqVuExhgqBJ30bQj9onDGItBQqyjLtr8uButfXCjGaxXDi4St1qhQIHL8EdZOTPH0M0cS92tXo9iMbiOnMFx1icPESDmJQCDsfPfQCDqd+g8YSKGQwo+A73JWMIRE4JASFgZgCYWFhyU8TOEicTGEG3Q6dUgLO5id6LuIWcMmJysIUYm6nYauYspdY+cLn8B9sIKDQAXvQ6KQKMSuCYyvP+mPw0j5eXIjJWtmJ64Uy7gWkZsIcHTtDDuLr1V/YCmZf5M/FiN7x5+fuFIuRw+36nYK3buJ0Nk4DE1/6aVpTdevMeCoabeMiosI4dX6MjtkmV2yzC6jyA6jxM66K+iT0r9Svsfwr4JPm0vsMZfZay2x21xhX+oBeyOHMWxXv8JUym8RP5Hyh2BPpErk0/42lvK7oobOopn1nUVyLirnz1l0x4Kr0nmww656RtVVVONGNFfRzpuoyRRqR5qKIf1ancBRLCyXENkMQMOYDFi/u3Xx8i1mTtbFSFvMqxpkt9NO3cRBdDvVaPqFIQQ7pMm4MBkXqeBr7TYp0rHN6nhLOta4MNkhq9u4NJgMtnEp2RFsk1IwKQU7JMHmsUN67DYcpqTDbllhp6ywxyizxyixS5Z4yFiLnMtdxhoPGYWqO2kUmJRr7DYK0Rq7x1yOXMjQgdxrLdUkO0LnccpcjbZ4N9YJsxh1q467jaGrWN+1eiIYx1HvMobdU7OZCsKsYKYczJSLkXKjMRsy6JRa7y6G3VFlVtTMXow7i+SCTvpWNSnin19SHZthVccgFQqlqAPqaqEUOYqhUIyPBgrXOpGtvUjYbL0PHcSlU5PYueTZ2RsZ36z/TNFUGS2RKARSSCxjCikkUvhXeQy5g4P2CnvLD5DKZV/5DVbNMX9URiAU/atoyheSeFh4ZKTrf40JxlAs+rFTNzF2akmPccvDcsvkv/gJvDce1OTsTb8SCXFsGvVVs7hB7FRZRFHR8I855PixfXiWb3ieeOX3MZ1i9Jg3PoG0UmTuVtjxsoO44/H4gem2sdNmLl6rkRedjMOAwURONYNnUFHTbl3EURKIAFIIxoQgJyEnFeNSsUN6jAuPSekwKSu+gAxOcHYYJXbFRONOo3oiE53AWCvsDeKo06llptMrPJRe8VvDp1f9mWGpElPZtQaxaFguZtYfnUHOxUt5/tiMlIeXDiKoE9XZihXpBaMyAsEYRE/VjjRMZbENiWOafvQ0nU4UiuudqVh/kaS+7ri+612rmVPtYqfQenZitM8mxE5Bj8TQ9A+BIC2sYDOCrznSIhVtljCizX8s17BP0pYVabIiTVqYTbecsGKbmbAZ5IRRKzSlwZiUjEtJTgjGhWBc+utruLZOSYdJ6bBTVthplNklS9HFuQlZYodRYocsRgIyFI87gttx8RhGV+uFY1gS4F+0q0ZVQ7EYF43+rEc/njoen+UYG3WUNu1IMKZMO5rRGEZSjZQbxVFDsUjai0ZqhEIxSSza0qsZn+EFBkQoFJfscjQyIx4/ze0caxiVsXDuRiQWIVgH09WoaTx22gwvbeFZMDaRGdjvtmb9jFTcVEDkHEZfjSk8bwkXwV57hdvpHdzM7GHcKbKvct9PcwoJygMBFb/5qe/9KQ9buLhKkBG+Q+kqWR2LIf3blvBjp2bwmCVdPCVJSYnlQuaLf0PxiWcRe3dHzWzSVCgh4OQBKDnYH3upZROb81f9hjSeBRMTBm9b/CM+deC7UMLgwdheXt7/Tub++ndIA7K8k88Xr5A5lk2MndaTNBIDmnc6hdbjMLppYNPNKIxeowfbkV5GX3R1/AG5iKMWMw2RQE4YDfe7QpH+UpnKHklpv4GLAhS2quACdhClSt1UpO94XD81RlmZVAyTsmdSUilKnkVJWZQ9i5JpseamWHYyFF0b25KU3BRrjkXRtCg6Fqa0MKWH40mkYWJXDJSh8CrKD8SbYJTxGyeEjW0UGCYYCMq2h5ETpDIWlWUbw4DUVDZqaFMoO1Dx/Kh80W9oM/vkEeY/c6nr7nfNqO9IlzQSA9q3E2/XxGYjY6egm9hoNh6BxBKNJ+pS7mz/ZOvx9b24/WLi3Z63VJ23A7iq4t9P44gOL+i46ipV03LHFdXbmS+VKe8xKO6XgMJVHh5+tNVTfpQ1c9MlfUdx6/FsFGF1lUwsCbCVpKRSUROyeFQ1jKOWPAtHNsZTo07W8dthLNWrxlJd5UdSDSlxPYkj/aY3nivxXIXn+h1SlQvK8BvdVGwFQpAyJNIUCAeEK5BWEE8NypfCeG8YQfVskHb4b+efSYMfPwV/VEahUCafTyPKbtT9tEYoPn/Fv0AIqGKp7f96AZjGaPlUo8hIiURENnHRkvaL4C2x33ZZrDygYKQpmllAYBGU/QmBpxQpAZVgsZECMlSb4dhIMtIBT+AIgRXeDqSf7UnyposhJEXXoCRsTAkpz8Y88zlWn3gL7N0TE4plSmTg6cNQtFGfvV6tJyQYi+GAtMGoKMZzGaStou6dx65/nIWHvwaAVw+/mV2vXWbPlTOk7xQxKtX5idDY7XQ9tYnrrVsM6WYUxijWJQ6abuoRu52NCINxEWG0YqYhEklWjGGIsI6metIjHxKM/cUKpXflsPdbeKjoBMdWCvOmza6/KnPrq9PsMoqUlUFFGVSEUSMYV70MJWVRkhY5o8Kam6LopVhzbTJGICCdVCQWS7ZFWXpIafpdUQ0DzzDwysGcxbLAUALMaq2iUqCCURmVFRc55v88lYpHKmUEP2vN+R0im+HSC1cRmXTX3e+SiM/AiteRtOoyt57Zie3YzNmJujZRs6nYL7YUinLqF3s6bL10aHei6t3/ker7wReZrqoEolIiHxLk/6LA2rty2PsNEODir7GuUpg3Xab+qsTdr0mzW1YiARlepHMCkegqQUUZgXAsRbWN8TrHkmdVu1YryZqXiuoanWDEka2MaMxRM8EY3R90rw47pbqe9LukBmM1lJB4QqCE313VtAw8R4Hrd0QVLn7NoiuCr/45pXKIOqH6CKq1o4E4tCTgkZvKsXZ/rblQPHWw5qKZyGai+bmt1h5V8mCi89+L7UCrWvrNYLREIsmLknf/R5D2i0woh3upHBLFPZXFFCkcVQmEosQSYCuFgappZOPi4ih/DIar/LbFGelguwaWcLAD9zBn2BRdgQx621gyhSU9HOmhlEvmS89RfOLNyOnd0bUaCxubNPLLHsO1PcTnXvMXSKcaPU1qYiOBGWee+/cPcWfKjyq9+Obv5OtYZlKtcP/eajQ/MT07hjKrQhEaZycmjcSA9bmJ515uPzNxUMzNTnP+0mjMSmwXadtotIvYPUKYWIZfq4H1eO1J0MMvor5+lcyfXsd41zjuAf8P38ND3ayQ+1iF5XdlkPsMxlHklIONQ0lJXyQqiS1McrLCmpeiJFOMeWVWZZqil2JFZigaKdZci4xhUzItlisZTOliGlY0OqMsTRxD4RgGqiLxDIEyJUYZlBJg+VfdlYs/KiMnsNbAHpPIrEllqZIoFMOGNqpY6kkoekohMykuvLTIiVhDgmbzrbppYjPzxCHmz1xfdxObToXiZjax0WiSUChs1ejQ4b7e9rkSC9yPNdxvCH9Ul7d4orqvnKzdqU5c9iook54rARkXjg+D97Wvk/vzu9jvmsA94K9THh7ctMl+rMzau3IY+w3GAuHo4buRfrLDq3Edy4F7WCsaJRVMxmWt05iTZUrKanAZc7JxLm69YCw6FrYwcISLLQwMT+J6Rkt30XUVhmH4zmIxGMMoBUKBkALh+eIxFTX1iVMrFAtrZb8ZYodCEfBjp+Uy43unUKUy7Th1ZLqjbqXbiWbJl81gtESikexAyKlfZInX+Kzzz0irMghBxbRYMQwm3BS2qvjCEFkdFhsKROWRQoB0cT1JRkAYOw27ndrCwBUSS7jY0q2JnVpSYksJ+Fd/rOefo/LmN2M+tAvnXoFySSL3B/ntr5rBLblwZhERuIn5TJqVB+WmbuLTDz7BJ3IPUUzvwLEyfOrEt/KOv/gFzOVlpKcYZw9LlogcReg8droRbiJ0FzndrgyyaU23DWtAu4hdE6Qcmp4IPQTs+CSp3/5B+Fsfwtvxa3D1M4i/uE7lXXnSByykciOX0VYeGeHhqgplBRV8wZgTFcrKpChTjKsiK26WvFGi4GYoGRbLbjYSiyt2lqJjs2ZalJwUUvq1K0KagVD0R2srQ/idT8sCqUTkKBomQNAdb83DyJtQcJCGIJU2+yoUW/Hi2ZtMjk9y+3aJ128rrr9a4NFH9mJZtX5EkpsY0o/ZiZ2wmbFT7SZqklB4lNVa2/0kjXH56Mp1gCHC+YOrjc9xi8Q9QhkTl4ZIRYKyRkwGQrIXAdnwnIeAnUlr7A28r92FtV9gBHFWT3g18dVwzfUCBzKnnAa3sazMBqfRxqzpWB13GUue1SAY19xUIBBNHCWxpJvoLhZtE8eTGNJIFItSQaUkUGk/hhp2Q5UGWJZExO8LXEXPCDpau4qpXVmk48/q9mwV/H/zhaK0PQr3ViOhWBPNj62Fq8tFcqnBxUkvvLTIicc6P290bA/T0vHWbhktkdgCD5d7podAYSiXCbvCpKtQOFjCF4r+dSV/TIUhwFVgCf9eQ0FauHj4C0lGOriexBSSnLSxlYEpHSxl4AgDR7rBH7mBJT085WEaHsJ1UJ/5AqWjj6LmX0N4KbyvehoZdIRSXz+Hs2Yj5+/iEUROI0cx0+AmStPh1Ct/xHOz70VJk+Ud+7n81m9j7i9/Hc9z8NL+Ir1cKvP22cO8+GpzNzEpdgqt3cR2nLva2k3sJnI6Ciycvznw8Re9jL7oNGrajYvYScQuZJRdRADlreCV/xpv8YR/EpQgGJ3Dz3L/u/4Ju3/7B5DP/DA89+fwvX9A+ug78e7/CGn7RWz3Dh4unvD8q9tCkVIeLh62qlASNmVlUFS+qxi6ixlhU1IWGWlHYjFr2KzYGbJmiqLjsCTTlKW/TpUNE9tQuKGrGJzcKRNUyZ8vS1DrbCAgB6wpyJtYBcePn8aEYn48S+HOUoNQ7OrfUCnu3y1z81qZ+TMv41VMbi+WWFm2gQc1+37h+dd4+7PV5jShm7ie2GkzNzFkM2KnoEdiaNaHB6wlOYkNNO7TcMqt/EXBEOHlISfYr3a+hlF3G1Wu7uMVoudLNzg3uHU0OI4RHN93KrsWlEffCX/rQ/DbP4h85oeCNfbDGEffWSOBvfs/wuezL5BefY1H7RyWcoKLcqqmHMBVCjtyGysNorGi/PRZRvntCm1pRi5jWviCsRyKRWWRlRUcZbDmpXA8g6zhjzgK3cWik8IULqZwcZQfRS3aZoJY9JApIxqfEdYsCk9il7zIVUwh8WL/Hz1A5iVLjm9MTFppqpf6ZLgHuZ1jUHFQacO/wBZ0hI4uqKXT5PdOsXy1dYmQaUguvNS9STA3u6+hUVkz7t4p81d/tohhCL7jPZ1fsO6UpFr4no/Von5+s9g2IjHLFHN8Pa/yMUyvzFcuv44p/LiAh7+oCZUCKrFGNoqK8rCQUezUUgKC2GlKuNjCRSpfKILwr/jUNbGxpEQp/4/XkGAaHu7LVzAME+Xa2H/xPNa734rYNe7nVL/9FM5vv4g1f98fiYHffGalWE50E6fTy5x6/dOcnf4KAF469DQTxy6x58qZ6OdXlh83lQSx0z64idC/BjadopvXbD6duohARy5iKBBH1kXEv9BUVqtIJLhFpHsHo04wzvPfuHzogzz9zF4e/uS/g3f+c/+khuqJj3X/RyAQi1K4/gUsBC4KGw9LKDLKIa1cssKhqExSOIlicUVmyBk2y3aGomFhSjeqV1yRaQzpUQldRcPAMySqEp5O+PFTqNYpAk2FYqHskN8zWSMUw3la//Lb/h0/+ev/hDt31njjjTXu3FkNvvrfX6jsYfWKxepL97Arb3T077201HhCu5VmJ4JuYqPZGDylWFWq/Y51JPmKIbLueM1mMMbFooz2FaBCYenWCUrHv19V/P3cYE0FcBeRGBj1jmT9Bbmj74Rnfgjq1tg4YurnKa0dYjU7yaWdM0zYLg/MNAp4bGWRueIiprKrdY3B+htGVF2lyIgKXizlEbqMZWWSo4ItTd9hlL7DmA8E45qXImtUKLop33wIBKHtGZjCa4iimtJLdBaBKIKqXImhDJySCymBcCFlSVxH4RVV0/jpkl3GWlN+ks1WyIqHrHiMj2UAE1lxGiL78bVwfO9Ux4mR+cudn9vNX7rVkYt4726ZX/q/LxP+Or56pcDho/mOXqMb+jGuY9hqEUO2jUjMMM4xvorr6rdwpOQTUzv4trsueEugyoAFwkYp4f+piKCzH9TETm3h4SqXjBC4SDJC+sNNPYkl/Cs/oViMu4me8jA8D8sg+CP2EMJDGBLh2Ki/eB6+/s2IHWNgSLzvOo3762fgyhJGrD4xvKpz/Ng+Lly+hQRcS3J47Rx3lw9wc+IxwK9PfHZpkVR5DWtVUbrvsTJVZjydbuh22ombmEQ/I6edoJvX9J9eoqYdHbcLFxFGWyCCX+VRUi5G8BEscTGwkW4R3EUuL72d+TGLA688YO8XbrL47DGmn/slOPrlNScx4clOGv9qt1f+a0z8Bg02fhy1hIsl/EhUTjlkhUNFGYyJSo1YzMoKBS9DVlZYdvwaxXi9YslKUSinqMRcRc9UKENG8VNPCQwFlIBcc6GoPHijbHDPm2Lt+hoP7HFKdp7KTUH5xho/nf//Nv23s8hjF8Or2I0YhmB8XPLw4XEe2ptm794MK/ceNNQmhrRyE/sRO9VNbDRbCRfJkpfq+flGk79LU8TuVwQlPeFzqg/ImAY0AJSKCcb61xLVx2Kd7KtC0kHWC0h3EXnrseB4KeQtE/GFRXjLSUTCGgtwj3lMPP7/7P13lCRXft+Jfu69ERmRpiqr2hug0d1ANxqm0QMMxhuO59CNRvSkxFkuJXIoUbvSe2+p3dU+7p4j7jmrJXf3iXoUH2eWFKWRKJEURTMkwTHkzHAMBhh4NNo32gDtTbnMygx3731/3Ih0lVWV1V0NW98+fSozIjMyMqvyxv3e7/f3/bUq9wKGZmkTKbNY4Nn6bp4Z38POeI6KbrMhmWFTMsWYafcpjak1pMJSyV0eaU4YMytd8JhVfQpjZD0iUSKQKZlVhMI51MoyoW1KpNbDlxmpcTWMvtRkxqOVeR0i2U69Ts2ixbogstyCqhOg5FRFzyiSSCOlwC87+2nSNkOJou60YuumnjbmI1RiqNVCjh29gICOoliMk825iGpPG7dXCmliePlsi29+aZbZqakOQdy0JaBSGU55htW2vxp4ramI8CYiiQAXk99mo34BhSEVNaz/QWR6EK2v5qtWzibg4xETucb3wqKt6NhOi7RTgyBAkwmNhyQUGZlQnRCbsnLphalRjPmaVuZaYsQSVG7pwhiMMq6YOI2xX3wavvdhxFgZfEX2Yw/Af3gGeabZaYkhNDSuRZ2WGIWaKIA9Lz7C9D0/RTucJPNDnn/Xj/PWpz9H5UIblQTM3eHxwDu28MLZS4uG2MBwNfGF0zcWYAOjWU4PnXj91SUefQUGluMHz62oHvFGWl+sxGp6q1TENzqMtX2WLoVAWrdqLhE0DIy9BG/9fJsnf2AXByaniDcklH7/E5iPrsduD/pWxgtIWUf6D2DS50BPY3DR4yGCiAwlLIHNiG1Gy2p8m1EiIxAZoUkJTUpThFRUQlmljiwKQ9krMZcYlNQ0e1TFFB8LfX1fi4Ur9/YE1liyWUPrGsxfsTRnLI2myi/Wig21KteawyeWw5AhkQqMhlIg2HpblU1bQjIb8eCBLazbEPDiUbd4tO/u9e5Jd1QXbYmxVIjNUrZTWFpN7DxmLcRmDa8jZFYwo1evV50v+r/bBYksKKLq2d9HHIXte7wnTB+5VHl7ICkWJ5Md4tgztrrtbmXcP9+i8lctko/UMNsvIjelnTFW3L4pfwMPEE/+XTJRxuN2qkTMMJW/B4FFgoDL4S5CxjhYdWOGtbCveZk74/PUs3kqpt2vMgrysgBDarOOwphYl4oaWkkqE6K8tVEgXGsjt7CX5rWLHi1TwpdeThYNnsxoZyVS4/p0t1IfzzqFMc4smZQIzyMCjBYo65FEGhF07ac+ElGWQ4mi8RemntaqASqxkOa/20AhYs3RwxdcqOJbd/H0F54d5c9l1ZBlhueemOGxv7lGHBlKoUXr7t/Xvfsn2Lh58b/zIiV7JVgtq+mtsJkudy0bFW8qkrjJ+0Gu+Ifw2MaYXYcKfxkz/Wl8nifV0wCd+kQfBcKCNbmJwOIj0Vg8ofGtRJMR5NbTonfiYIhNWSUkxqmJqTR4EnzlkqkibZDK4PseSWxQURv7yDPwAw8jKiUIPbKfOID4nWeYnNHMzeQtMUpu4Gu04k5tovYl43W4//Sf89TdP4mRirmJbTTe+0Os+/y/w5uJkPEYj2Wnqex0RcnDbKerrSbeCsvpawn37H3tEduV1iOuNtZUxIXQCBrG1fJJYTsTH2kt0/4kZ6a28YP/5W/4wg+/i7O3b2b3ta9R3ibIPlKh8uXrJB+pkW6PAeOsqkVNTvC+zmv4ahJjDdJcI7UZofBRZKRYlLDI3IZaEobAZJRERigSQpHSMCEKQ0UmHQuqLzP8JMSXmqYM8ZShBf32UyswM5CessRnDfFFQ/uSwaQLPoIOmvFC75nEsnX7OBs3Vpk9f4X21Cw+mmC8TPnu9dy7fxOTGwJevnAVIQT33rWFo0cudC76w5JOV9oSo8CboXfimpq4hgIayYyprsqx8qirvm0LSGMfSewSyOJ28fiO66JzPyeLPWSyUCuVtZ2x1e1zY2uvElm+YBj/64jZj4TobaBsBn1jbIzZ7iP1VTZd+gZb5GaIWmgsdvLf8gS/yxmepsoGIuZoMM04mzrH10JyaOxBnhy7CyyMp21++voXEUCKpiFDMgRNEVDPrhFYQygSUiuIbZarixm+9AjICEW3D24g044V1RNFjkZXWfSEoa19MmOwFjKjyWRevyklUWrxSk5VzBKQJYlJJBkaL1SdOkW/rBYQReNDb+rpWCWkebU11HZ6/LmXO+NkbWOd5kuXbml4DYDWlheemeHRr16jMZt1todSApp160vcfkeVLdvKt+T1b9Zquto209UihwXeVCRxo3yId/BblFmHKAqjJz+Dmf40ynwDbMnV+AgBPbZTHwnWWQhKWIS1pEJTQpIuEmLjS41vtQuxESm+VHlbDJ9MmuFqopDY+Xmyzz+F/8mHIfShWiL91AFmP/sMyuuqiTqFaj2EntrEffu2wdEL7D3zFY7u/igAT5b28NC2e9l4+HHKgEqqNFp2aNrpzaiJa3j9YSW9EVfa9mJNReyHRjBjXIqxykkbgC80565t55N/8Q3+7Efey4Wdm7gi1nNOVdmStlBbBfGHAyb+qkHjIxl2m0+vpUpGX8pfobgQe4CPLzxSmxBSxheJI4potLD4NqEiUkpGEwpXr1g1ETOiyrwJ8KULRvCk7qiKvjQ0kgAzb5g5EjB/zBKdEMSnLGZutM+gUoGJsmG8ZKjJiMnxgMAmZNenEVGbtz58H7/8J5/m++o/jR73sTu3keyZoFIPadCkca3Jvfu2dQIL9t2zjSNHLnR6JkJ/38TutpW1xHi99k6ENTVxDSuHtpJr2dhNH8cXeoAeOgzaUX3R46joIYzd7XYhYRSFTb9LIP2ebaqHSCph+9RIhaV2IWPiqzGXPhSQbJFgdFd97Btjy9htvhtf7XwnOEde3M87RIl35TXk6eS/5AqnuMrLCCQXOJ6rjO6gWgguler89tZ/xp2tk5xSEadKm3m4dZQnKvdSNhH3RCe5u3WMzcn5RdsaRbaoXfSJRC9ZdMqiL0q0dCnPvtC0dV5bnvlk1hFGzzqyqI0lxsMrgbSCGNOpU/RChY0sVtiFimJPH8WxSkDjWoQaIH6m5PXZTofRwl/65K8C8PiXns9/yzcHYyxHnp/jW1+9ysz1/lXJ2pjH7bsVH/7InVRrt4bmrIaKWFyHVktFLK5dnUXOhd1pVow3FUkEqLB+wTY5+Rm48q68PtHSbztNOmmnyjrLqRSCkKI2sT/ERllFRaZoq/paYqSk+JJOS4xCTUQYtHG1iVlqUEqg5uaxjzyL+P4HoeTBeEj8MwcIP/sMc9dyNTFviSHTbtLpoRcvoYC98TGmrt3OlQ37AFef+N3JdZi9Bpfnqceuf+LDH7tzqO30RtTEg6dvznIKo7fCWEl4zaEXXzu9Em+17/1GrKYrwShW01FVxFHDao4+enSk473Woa1k1riFGYlBYXixfj+HJt/Ox771df7gRz7CxV0biAhIKPO18ffyA1f/GCUs0VZJ8qGA8EpGY6urv/GFa0fROwFzyX8aJXy0TRFyHco/gEmfpQRgrqGs4uo1xbe+fRvNtsejj24nzhRx6pFmijjzSFKPJFMkmSJNFWmmSFOJQTB7rLd2afHLvFeBymZFbVJQHxdMBFBVAjETU9ICEfsQtamNlaE0wdyZNsefdgqczgxsqBNvLJNVBMYX3Lt7y7JpdoupiYvZTo8tYfF5M4TYrKmJawDIUMzoyqL7U9MfUePLUZJQwcvHB9szTvQSxMH7BdHzerd1yKLue4y7b/vIohJuXC1USV+YDoGsXDWc+ECN+S0eyjgFUuU9seUiY6y04AuZW1izfuJ48V42odgqSrxF1nkpeICD9XcxzkYe4+u5yVRyiqucqkx23s/B8h60kDRVlSeqB3iysp9/fPnfUNItFBk+XXWxZQ2+zZxiaLM+x4cUBl84YugL7R4jdEdRLElDK/Odqmjd55NpR90yKUlTUCWJTsALu0SxsJ4aBUbmeaZdcY5GK0LlymKtUqZxZZ6xaojMbadLLbIdf/o001cb7s49u1Hv2krFZ9E539FjF5ec5/3pfzrHiSPNvm1KwYbNIfc86DE+oUYiiMcPXVix1bS4ptyMiriaBHEBOVxFvHlI4jf/JWx/aGiSFeASsM58Gy7NYd5SwhclMmvwcWmmxroVKQRo6xIFlXCtLUKRdUJstJD4SFTxBS7UxIGWGIWaKDBk2hD4zn4qhMR6FnttFvEXB+EHDoAnYV2F+KcPID7zDFm9wngiCK5EqJQ+NRHABoKHr3+dr1Y30y67+sRvPfQjfPTR36Z5/SpitkE9muSZ5EWaOyTPMzztdLXUxFEsp6O2wlhJeE3vZ/JawUraX6y0HhFGt5quJLDmVqiI8OawmRbQSK5nNVR+cU9UyOH6W7FW8NV3vx0hBVhLLZnFlCS1+DozJsDLV8Xnt0pKW62zUGFJcitVEeTg6m8cjDWAj8Bi0me5cLHMt7/zNr7xzTbf/PZ6Tr7oJi0H3nKR557dMPJ72HB/e+h2EULpDkFwu6S8TVHeJAmlwI8FXgR+y0JqSeYNfuAsT0VrjGajDVGCLDvb6C998lcx1iLDErokiaWBVtRZCBuGIycurlhNLHAzLTGWw5qauIbXAzKruJ4uVBJTM9i4ogsL+HK5umK7wGrav63rpihoZEFAPWyHXBYEcZAoFmTSEcLuvkECqYSheV/oyKPuJ4+9yuP8VonaavEL8oizibrXWLgw5wuDsRp0m62tq9zW/gYyeB/rJ/8xX+IbTHGVGjUUklmarhWQ3IQwUzTzvmbr9Bz/98a/w/uaT/Hu+adJhSGyBh/rHCADZFEK07WhCp/Q+o486hCweNJ0FMXi88usAWs79lM37c9I8aBEH1EUSpBikJ7AGmc3FVk3Yb+oT5QpNFsxckBRLNTEvQ/ewdNfPtjZ/sSXD2KMRa6bINm7lcbuEC+NBttsrgi79tQWkESt4fKFiM3bK9ioCntu/PjL4UYJ4uuFHBa4pSRRCPFx4NdwFvHfstb+i4H9HwD+FCiWXf/IWvvPR3nuirH9IcibqA4jinLm72C/9MeIj4x1u8EI3Uk79YVAYwZCbATaapSQKOsGnVBmZNrL1USXeFqoib0tMQo1MUqla4mRq4nCGtfTJhPYS1OIR16A778fpMRuqRH93IOk9SpzJY/q508w9sWzjIdBX22iSg2+SXjg+Of5zv6/g5UeM+NbeHbfR3lr+0+ZnZ5fJI/sxtVEWD7AZg2vLYxqNYVboyIuh6OPHnWT3ddmMvSKkFrFbL5ar4RBac3k3MtcndxDRC3v35px27VDhKSsTy4zS3nBingxqQlE1rMS7mpyisnXxXPjfPux23j829v59uO3cebMxNBzOnpkIysx/Uxsjpk6GlLfk1DbqyntAblLYdb7ZImPTSSyJVCxwMwLsnyGKRCIFpiSxNZLmKZbmh6rhcg4gDil+VKb5mze0NuCDXxMSTK2qUL7erTgXIpGyvvu2cbRI12lcKVq4lK2095Y92FYUxPX8EZAZiRTiRubUrMwkGpp5ERuEcLYIX99ZNH2PN529neJooEFBDHPhcgJZUEme5XGXqI4SCC7CmTWRx4LV8dixNEThhLG1ZHnQTmdxTmr+5RGnxQZfYk7L36JX0Bxwd/KnLeBhn8ntvoTPMDd1KlhpOFFzvPHfJWXPMGEbmNEgBABARl/NvZBdqQvs699BB+zgCy2KBGSMS9K+MaVBvhC0zCati71fHYWX1hHGK2lnbkKJocuUfRCSRxprJJ4oURHFq8sMbFTEm3OEgrbqUxdneJYJSS62kKXitRTV5s4DMZa5LbNzN+7iejOgLFygEzpJO0fXUGv7MJRsnnbYiE0Hs8/kSLEFHffV2Ny3eIRqzeqIr7aBLF3EfNWEkS4hSRRCKGAfw18FDgHPCGE+Ly19vDAQ79hrf3+G3xuP/QSq7s9TVQXEMXTX4f//NPY73k3Ystl6KSd+mgSFBaDq000xaCES6oKpUYb2WmJ4UJsMnwkocxcfaJVo6uJkUGpXE0ExNlr8MUj8PF7QQjs1loeH21p/uDdxO+5newbF9jwlXN9tYlHj15gCw0euPhNntv+AQBO7Hw7Y2eOsHn6mc5blxkdu+n+ISE2B8/0q4kAL7y0UE0cpR3GKJbTNdwYbpXV9NVSEd8oNtMC2kqmsyqt2ZBrJzfw0vPbEQ9vZvdPNCGvZclkiefq76E+e5l92TwidyzMzU0yO7uRly/fyfe+8w9AC85fvYvZ9gSXpnewSR3n3JEyZ54RPPn4ds6/XF/yXEolzYMPXuPhhyXbtp+kWpsFpUFZrGfIlAApSZRHLH33U/gwJrH/m2KWMo20zFwS0EgCmrGlLSHF7y4+ZYVWCK78u9sewyoolRTzjYhqLaR1bQ7KZWhHHcspFKvW/Th86hL3jtBI+WbVxM5zXoctMWBNTVzD6NBWMhXnwTWi+51L9fIk0Vc5tVuiz6I3xJ46aFn1etTFgkBauuSyeHxBBD3ZbzstSGRBDn2p+xTGgigOI4++0Cj0osSxJHQ/abQ5acTNEMH5NlJMpx2HRLMlPceW9ByyfRDVeAQp65i8Z+Mebufn+SH+mG/wuDzMn4+/i69VH2RGjZNaiRRvQ+mMd7Se5rvnvuiIKwmJkCgskTVI6c5TWdMhy+4c3Xsp1MTiH7CAKHrC0E4yhFKUQolN3PhsrfuZJharfKL57ZBZsmQSJTIqdo5WK2JLXWFTl+R/lrvxZEJVzjCV1UhliG1cJFw/hsz/rqJ2BU/Wken8gr+JYdbSr/z5BAefGKNa05Srhl1727TTiA98MMBaw9/99B1o7UoUssySZZav/uVVGrMWa+GJR2f42PdvHPZneUPlPzdTh7gaBPGVUA4HcSuVxLcDJ621pwCEEL8H/C1gaaJ3889dHMOIYk4Q+ZF/i9z1/k6IjbZu0BkWYqOtq0tUWIy1BEJjEAvUxGJ1K+upTVxOTewknRZqomeRxy6D52E/ejfgplsKg6OXMPO2TczdMUHjiUv0Tg+brYiN099hs7+Fy5vy+sT3/DjvbV3F101UYhBpv11gWIhNL260N+KoKaej1iWuYSFWYjV9NVXEUW2mb6RJbmYV/+qHP83VY5twq64hH/iTY8QkKNzqNhbOnL6Xx/6/P8Ps+RpV/yqz6s5O5DrAv/53n8Zs2gpCsG/HMxy98CDBuaeIt9wDZg7Gnod7NfglN+ETAuUZtt/W4O13PMl7HjzK973nJJVK/yQt07OkuN6w89aQWEVkfVq2xLwp0dBlWiZgKqviaTcp82XmJmM9KkKKj8kEuRcDEMgMhAfCB+m7ZD2tQQYe880IEQZ9llNZDofqm/uWIIe9ltPVVBNHsZ2+1lpirKmJa1gJMiO5Hi2sSRQjCIk2WXyfr/JxoYdAFtt6OWUvYexVJL2+7Tk5HCCN/fdtR5H0pekhkG4e5sl+grgUcQxF0iGNyjqy6AuTK5H9bg5fWFJs3hyoa01N80W+Xluqb2Zd/oX/AOOTn2En23hUuAXR9VYwAzlRBZTi8drDfE/zG1RMm1RYpDUombjXtbkqaofZbfuRZT7TjS1cn7mNJFVE0SSZkWRGorXAaOGobQbCJEjtI1LF9LUDWKPIojpj/kkaqes3WZenmZW7QFuQlh32KOfUXozyIIC/vgTc/UnkXSk7zcucjTYRZnPMm0k4XAZjIG7jN67w1HdaeGzg1GFLOtfirW+f5/rsFeauT/DMoxuxNmFmSjEzZZmdhlZzN2cPp/y9//YK225f+Hd74fwMT34jAywvPNfguz66niAYXqywEhXxRusQb5YcvpKq4TDcSpK4nX6j2DngHUMe9y4hxHPABeC/s9YeWsFzF8BMf7rTcHooeoniw38PnvztPmVxsRCbQk2UWEpCkFiTt8QweEIgre3UJg6qiZn1lq1NjDP3sy/pNFcTrRKIQ+eRnof54J1AThS1wZuJSDdWie5Yz9mHNvOOL5zn0J8c5b5cTZSx5e1XvsZXxrcwH05QaV7luXf+MA89/ruUz80j4zKPpad553t38fz5S51j99pOV6ImLhdgsxRGrUt8M+D4wXOv9imsuoq4YpvpGwitmTLzV98NWwIINGwOCfa8SEwJD4VAYzWE69tcO7cdEMxMG1ifE8T8v5nY1iGMZ05uhApkG3ZCreL+b96CaF7DTnRrDTXwElDbvJs/fPYB/sXJC9y17iRVv4UQFikUkPKRPV+gUpK8/bYvEngtIHUr1dL0r7zL/knXIFLAoBCZy/rTWaEoCnQK0hcYJTAl54kYq4W0ohjaueVU+ZjQXZrm52LqlXBo7cpiltOlsJpq4ii4FbbTUbGmJq5hFBgrmE9c8nI2gnq4GDzVZX7DhEVfmf4QG2WxAwSyuOsr0zmI10McO4pivs2Tum+7V9hSpem73WtT9XOlrVAee1XHYoybF8GA2pgRiqyjNIYio42HEoZSHpgTCI3CkcbemnG/R2FMbRPftkFfQl68i7tLu/jecCdPhXvYkUW8qGod1Q0gE4r/feMv8FMzf8yu5BRg8KzlSnMjT19+CwevHMBXEUeuPEBqFdooMuv+ayuxwnJxajezjWJxEurjZ5id2rno77FUvkDSGBjvhCa1E5272gb5dieivCTuHXg8YEHYjIatof0a836tu19KkBVStSvvQAlXAJji9OE6XDkP7QpsLcO8gUYTzEVaTQ8wtFsJX/5zw8c+0SV/UVvzl39ynlPH3AJlEAj+7t/bPJQgrtRmeiMEsXfx8UYI4qtNDgvcSpI4bLQZHDqeBu6w1jaFEN8L/Amu1HSU57oXEeLngJ8D2HFbadhDFmLX+x1B/PqvwPv/6cIaRf8BiL/ROY1BNdFYVyipBZSwGGtyNVER4JTDXjXR9bVZujaxN+l0mJootEA89RKyVsK87Xa42KT6u4fJdq4j+lhenaskj3/f7Wybm4ezbla1775tHD10gQde+GOO7/4urm/aDcC1j/w42/76PyJfbqCSKo9xmsou10dm0HYK/SE2N6omwupYTu/Zs5XDJ5ZOvnojYNTQmpVYTVcSWAOjq4hrNtOlETcCqIxDTYBMqG2dY/29U1gk2kDj5Um++X++j+qmNp3hL0ohS93dkt8dAa1FJXNEFxugD6In1kHddpb+t+5scGFmYSDN0av3AXC5uY12WmEunujbf35+B89f3k+gIt5zx7d5/66/5J07v0I1nOl22KDnNJZ4vynkRiyJyKBQFLOKW7EWA7ZTkxlUuczYeJnZ1vC6ll4MUxUH1cSjAxOB14OauBzW1MQ1rDa0kTRabtIvRqpDHI5eAqhU/+jQSwYLMtkJpinuF6RQ2T6yaLF9hLJjNc2JZEEuhxHIXvLoS92xsBZksZ846kVJoyfctlCm+ELTyu2pJZF1SWNBGPP5YKEyFrE8PgIlhKvPy4MP68kpPp6c5vsa30LLSX7Mv59jXo1fr+4kkRKNYMqb4Nc2/NdUT8Sc/soenr1wgGutroXyrdu+yVMvv3fo72Tb+hPMNvrnSUYvN09e+DcQBpcImaPmncdqH2U9Mj1FZCfBLny8Z1pYI/GyiO967yb+8JtDXmbYBaQUuIhSrwJB2d2XQKQgPom7o2i3Khx6dpa3vzdlbibj+aeaHH1hHqOLFVVLHFuuX8vYsCnoe4mV2ExfDfXwZsjhKIFqK8WtJInngNt77t+GUws7sNbO9dx+RAjxG0KIDaM8t+d5nwU+C/DWA2VL+vzyauLprzsF8f3/1P3c9b4+otivJvq4jKt+NdG1xDAYJBKLJwzSajwEntBoq5ZVE0OVRxSbhWqi7ymstljPkqUWX7lwZ/nXJ1FnZvCfu4bMILw0z/rjM5z/rx8i2epWai78xD7++vMvsu0oHD55EQnUkqtsvn68QxKfK9+JHtvDbee+TRCn1Jmgkbr+ic+fv7RATRwWYjNMTYTFA2xGtZy+EXH80IUVJZuuFKNaTWG0wJpRVcTVDKspCOIbUf0It83TvDoP2TiEgjs+fAoAi+Ts1zbz9U/dCROGa0bC1UehNQXtJmCgNgZveStcv4IyM5THGjSfPNlZaV9/+zzXx34ekhS/dYUHHjrI/jsexxOZi3qXmlZSYaa9iYMXHib02qRmYTH/C1fcanCsQ75y6oN85dQHkULzwNan+bl3/Qo7Nx4G2Q2RGex/Bm7CCWC0RAfOxqQ1CC3IQlcDLXtsp1kzQwYeqlaGmQbzc23wuuc2Vg5gec74qquJr3SIzahYUxPXsBysEWTtERfYR0RSWC8HySKWBMcDCsTYzuNs721r+whlH1HMieQgiewQyIIc5mmfbpvpUx4L4thVHIttTjkcRhpbRhPItHM/lCkKTbQIYQzI+siiIremCoFvJZDgC4mxGqkTMNOMT9/FB58r8Z/su/DfOoNfcQPg/J6AUq2B+c8WWt3PrxF3W2wMolxytX9CaMZrV6jXL1AOp9FbDjurqfFzy6lCG4kxEmxKGF7Fpj7t5jas8bljy+cJ0gQZgRe78Bo/tbTsPtIsRClDuyFIvfXMig3cf/r3qJw7StpOmP+WoBp/L/PBVghCqFZh3XpoRzAzC2G5/7/75YOSbuzXArIGEOf/JeCTJhmf/b+mcaUNGV06o9mwyeP9H5rgrrvLfZ9HQRBHURFvRj1cKTlcTWLYdx0aRs5XiFtJEp8A9gghdgHngR8HfrL3AUKILcBla60VQrwd99u/Dsws99yhEN2RZ1Gi2FODyK73O4I4LMymT030UCJdoCaSJwuW8tpEhcEIO7Q2cZiaaKQhlYZAKTLjAnAibZDKJZ2mWd430ZdY7dREPFDHr2E9qIUBrZmY9pUG6/7PbzH1828juWsdAFc+cScT2+pUfv2pjpp4d/s481d2cHaTmwwefs8PsS25jrz4EsFLM8h4rNM/EbghNfFmVMYCa3WJrw2MoiLC6ra8eKNOaI0RjH3XUzQefxtbvvermLk5rnyjxMb3JEx9rUW1eho9o6nsnmfi4wmn/j8Wt9RqodFmZ+1z+BsM08c1156o9h37+stV+P1/D0hSFF/4Inzin7zAD/yDQ32r32E+hk01NnFxZida+2AFAkszHuPc7G4ePftBTk7d3T1vqzhy5X7+96//C6qlBv/4ff8zGyfcRalYPx6mPWgtiXD2NaMlOnPW/SwDmQmU79JOTUmSNVJk4CHCErSHt9m4UQwG2NxKNXE5rKmJa3hNwghsWy3/uBVA4EieHjLDtDgXQe/93laMSQ9RdLfd9oJMFkSyIJGFIlkQRCXtUPJYKI/DiGMvaXRqY/+2QlUsq4SWKXXuN40hEGkfYUxlhrRdS2pJaEp5D8OSNR3CmOZtNjQWrRVfPP1h/sORn+CvXnofO8fPceraHYRfbfGOH/km2+/Jy0+U4bv/mz/n2rmNNP+szv7JQ2wbP001mCNBklpFiiTGIzI+XmkePE25do1MCmbTgEiXaGuftvZJdECU+cxGHhiP+baHThTKKoglMhHI2CVWF5b/Wi2gNR0DsLV02vWZnJ5HJYZx69G+MIuNYsI7tjN1ucm1qw0XbhM3gAZcvQpnziz+x+P5IA2EG8C7HUwF7EngMn21F2icp0/Su5JYKkl+5ue3urZSPbiVBPFGraU3Sg6XJIarjFtGEq21mRDiHwFfxP0m/4219pAQ4ufz/b8J/DDwD4QQGdAGfty6paKhz13+RTOntqXPO5I3iEGCCEumnkpZ76lN7E867dYm2jyioT/p1KD6ahM7tTw9aqLFWU5LUqI9iTVOVYxTg8rVxCQyeJ4ALdzAmoFR7mvRaMcID8bDAKFh7N88y4W/+wDz9zqr2ey6kGufug8+dwiF+1rtfeERph5eT2N8M8bz+c4HPsXPXvhTjnzrMFxuUI8ynkleJNrl8a777uiE2NxIS4wbwVpd4sr6I67UavpqqYhvVptpAWMlOz71LdRPfwOASrKRDe8qIyTc8z/Ms/ufxlDxsFZy7g81e3454OLvJzRfyPDGM2bP+yjP0JoqA4Or/oM0TaNLLk21IhNi6+PlJFEJw9jYNdaNX6aUhzB4QlPKAyB+4T2/woXZXXzzzPfxlRc/wLMX3sKW+mXOzriFo1/44//CB+78C969+4tsW3+cMX9he4rUKDLtZnYtIzCZj8is67Pl5Ypi2lUTZaDI5jJ8oLZ5kpn5FBMMn7Tuu3srh/Mmy53bd3Uv+ssF2CyHNTVxDW82CAOqtVgX0huDypOJ02Sh28AOfLUFYL0exVFZimrnXkLZSyZ1HoBTkEiLJeshkK2cQHrKdMmkBU/pfuIodZ9ddRhp7CWKLRP0qYxlmREJH19oIusUxtA60pjm461vXT2jLzSxsPhWMz2/hZdnd/Hy7G4OX93PF05/nOvtbonAqdk72Fy9wuXGJp769++m/OGn2PDwKeobZxECNt5+lc2fvsSPTP8Bd0VHia2gZRVt69EyJSJbomFC5k1AU4dE1mcuq1BR0mViWEcojTVkNney5QKF9BVmiUAicA6PqOXG/tZMm3o1RJYMrYuzCODYpRonZ9cDhS128O/L4kieGfipITNACslp4Ds9fyViyO3iWO7vIQgEt91RWnBJHJUgvhLkcDWI4SikcNTrzXK4pX0SrbWPAI8MbPvNntu/Dvz6qM9dHm4EMWYWOWg7HUYQCwwhinLyM5jpT/eoiQuTTnvVxCLptFATpdUooTrpWK5vonKDh9QE+Bir8aUilQZlDJ4yhFaSaYMQTk30cxXR5itrRuPac2gwHtTDgLmZ2Nm4UtjxW89x9kf3YTbXuLB7HeyuIxPNx56c5dihC4xNlHj3i4/wlf0/SeoFzFTG+FzpbXzAP8rslSlUFDEeZcAk3+YstVq/n3tQTXzh9Motpy+8+PpvhXH00AXu2fvaeA8rsZqOitVSEd/sNtMCxgiyxOusd8rxObKkxPzVlLGtFQLc6rKxlol3Bmz5sTKtFxOaL2j89QnTzy9McRsGv5LxwA+dZ+yehOmsSiT9jl2qIhOUMEQDK9+hzIit6w8WiIzN9TP80IF/zY8d+E2mWuv498/9fc6/8F+RGR9j4Csnf4C/OvFJALbVT7Nz42E2rz/JuslTVMvTpCWP1EhSI9GhJNIuQU/ktlOZga4ITOrURFH2MLEmiz1mpxrY4Masb6NaTvfev42jQ3pdramJa3gzQlhBKVXoIYRuVKiBpupZnNcF9pCDgjhmPa+jfElmDCSi85g07u7vJZTC61Y9GuWOK5Qly38aQCiDBqSy6BTSXFEslEelVIckFopjh0jmpLFDHqXJSWM2lDB60tA2GRWZ4ElNy5Q6i3IlUi7Fm7k+t40rc7dztXEbF2Z3cHH2Ds7N3UGiuz3+ttXO9RFEgPff9k3+1u5H+NDtT3PXxFmUNDyb7ubX+FEUFo2kqar8qw3/gN3xKT51/XcIdRONwYgMgyQUKVpIMqk6jrZMOiUzE4ZQQTvTeFISKg9hQVhoJQbJ4spysxnjtVwLkNZsxHg1gKSH5EcxtGKg9z01wHlL6NpDV7Iw0W9bDsvOlZKlFiEt7/muGnffW2X9Bg8hbkxBXAlBfCXI4UrUwtUihMNwS0niqwFjDVKOuzu9RPH808MJYoGCKJ5/eoGaqPX00L6JEtvpWejKaS2h1BjjyKGPG0y00AvURCsMTWvQVqNtriYqSaYloSeZT5yaaJXAagWeXaAm1oOAxky/mmhSy47fP8K5n9gP+Zz78sd381fRCW7PtVhx/TL7n/lTnv7oj8IkXF5/N4evfxf3tr/AfArpbIPxw6CSOq07cRWhMLKauBqW09XCvru3cOjYJe6787VB6F4tjBpYs9oqIry5baYFhBVkbTfcCmVpXoOn/miKvR+ZpOiTKAApDNUdCg1s+/slrn89Jtyd0T4dLHX4DmTJcu8vXMGThrmsTEuU8KWmIhMi43dWvkOZElmfUKRE1hDmxDFB5ZYoF8RVLV/jH7/nM3z/PV/mf/3qL3HHxGkeOf4Dnde7MLuLC7O74CTs2vo856fvYuPkSWpjLyGCq3iVl1C+JgskRktMZtFZHmKT1yYaLZETgZvcWbAlj7TmYUs3HqJRYFiAzc3glUo6XW2MqiauWU7fhDAW5gyhvHE1MY36CaYHqGAx4uhKaIrnKUSHZGaxwUOifEFmB8hiTiSNcqOl8mXnmIUSWZBHky+qO/LoSGJBHDPlFDM7oDYqaTtKo9dDFq0N3Bjq5S1/eqyoShiOXXuQKJqk2VrPzPxWphrbuNrYTpxVqftXmW0P79NX4GprI9tqL2Gs4kfv+QN+fN/vc9fEy/i5/8sgUHIDz5T3kgkfS4YFFBkWyalgN38y8YN8aupzGLTrpWhtXx9IV+6UkQrP1WVqH200ofJoj1DzPQxyIHG6NTWPnY8RzTaeHFzUzFXCHJObPKavdH+/UoEfWIKyYN36EtWapFJTVGuSmcYce++cpFKTVGuSclkilaDZyDh29BIPP7i4O2oUgthbfrAcQVwpObxVxHDYdaRYfFzJ3GwUvOFIojWzGFkHIXNil9cnvneJIJsCu96/IMDGXHkXSki0LfrQ+JCvuiMMigRtwRe4wchaJJpQSLRVnQasWT7x0kLiC03bOqtp0Q6jlRmyXE3U1hAoSVs7NVEoS5paPCUQmcB4lokgpDHnCGKvmlj3AqSBOz53kKmJCuf2TgBw8ZN72DpWgd96lsq6CvFd28DNT6ECB9/9YR6oxzzUOs/x519i+nqD6kmQ8RiPNU5Tvb3c6Z04qpp4M1iuLvH1lHB6I01bRzruCqymMFpgDbw6KuIbHdaAl3pk1vXx8nxBagxHH5nlru9ex8T2nARaSIULbpl8T43d/+oS88dTqu+YRZUMeAY/MKiSwQ80fmDwS5pSkP8vZTTSMp7URNqnrFLXMFn6lFXWWfkuCGJcEEb8Tu2iFhkJbuxS+FjdYufkGT7zyZ/l1PXd1MMqT57fzImZfYDquH/Oz+4hsWXOTz0A0w+AhQcf/N/ISgkmt52a2GI8gfHA+ALjO5W1Vg1oAVmgMCUJ9RIiXOTDXCUMC7DZu/92jh18eegE4LXWNxHg2DNn1tTENdwUhBEEicTcoJIoS5JgiCqU9RBHVZKo/DGZMdB2+8JSlywCnXYFjiw6Ipga0zlGZvJ2Er4gSwyBrzpKZEEeO+pjoTzm9lWjLEJZNAqhTJ/aWJDGQmlU0uBJNx/zpO60lfCL7cIRRmnhjx77f+etIAY/GIhluTvLdmXZoGE8mOK28TPsqJ9hx8QpPrrrL7h78gSh0vhAZF2toi8cUYz1VW7LGlgEGZ5bUMQ9RljDT03/HjIXK0rCkAqNwjnXZB6y40kNhu5t7aOtUxRn0qV/9zo1kAAJmAgKP2etEtC6ktcj1gKaF6bJrk9z/4aMrdcfw27eQvPODcjdNWwENgKTwe7tE5w9N8W9ezdQGVOEZcGx45cWzOeOHrtIbRPsvGvhIum5c1dWjSC+muRwFBvpICkcvH4cf/LFPnLYuXY8v+ypLos3HEkkVxG1ngE1sXh94qjoC7Bx0cVORQRNlve/cQETTmG0KGEw1pHDUGZoo/Bycpjm7S+8RdphRJlECYmnDCVP0o5ceI3nK9AWqy3jQcjcXIxQoFJoRF010eSLNQqY/PXHmf3Zh2jsdytZT394O3ecnWbbI6fZ9sS3OHbPw2RhPhPbIPn92z7EL5z6Y/Y+sMMRxfm0z9p98Nwl9q9ATVyqZ+JSrTDeiHWJoyabrqQeEUazmq607cWyxxthpaogiEupiK9Xm6kQ4nbgc8AWnHfms9baX1vyORbsPJR8N4NJY9fqJjOGc3/TYOIn3ffw4nMN2mnExoc3Yi2se/cdBNtmaJyagswgFVgESIFREqMEmRQgJVpKUqFIku4qeEv6VLwUT/i0tKaiUlqiREWltEXWCWKoyCRPajakOVl0oTcZ2hpS3cIXhp3rn+UfbfxnaCN5/+e+1fceE1PurwURlnr1CjaqoLUkDRQmEdioSxQtoH2B8SVZzUNLiy5JTOZCCe7fuYXDJ5ceC4p+ieAsp0eOXOjUJS6GxQJsbjVWU00sLKerjTU18fWNlY5PQlvkrKGkbkxJzNr9BEOG7ji9VtOCMMqghyxqA5HpI5lZZDqEsiCTYSknipEhCPLtsSXwFWlkKJUcUfR92VEfC+Wxlzh6ObF0pTtyKGm0xmBMv8o4SBgdSfQ6llQhNBZvYWm4gEjXFsyy79r8HL/y8f8KX2hKIiPIVb5MCFIrMVgCHO80VuMLhY/Hu+a/ydfCA7xUWt9td5ReYV/0ImViNB4KjYfNF/gsHhZfGJTLPHQCBf3J1lFPu9ukR1XMUotKwaYQSImSeXcKBSq22EjTmnf1iFGzQePSHJ4nySzMXm/gAVJpsoolqAuou3TrYvG/aQXrN7tzGWxn1Lutt+a8s2+JMX411cOVkMNRieFyauGi14c47j7myRfZ+/Cd+Tmeoznn6kNr42F+Lqs353tDkcRuRxqLyMni0PrEFULKOmBBT+Mc7lnu2e62w9AWt5IjLD5ODfRyGlmoiUUiVqEm9rbD8KVbpcqkoa3dgJRpQ+BLosiglMRqgVWWudiRQpUJrO9STudnYuairpoIIDPLx//6An/pS5r71gNw9mfuRyaaTX/9Eu//6//CV773J92AIyDbWeH3o4/wMy9/nublaRe9X3y2Hnm/M4deNREWb4cxDG/mVhivFkYNrFnNRNM3sM00A/5f1tqnhRBjwFNCiC9baw8v9gRhXEqcNHntjRXuPwo7azn/Nw2MsLSvZpTuqmKEpH25RXlLlWCyzOQDm5l/ucHciSniqw1sPqFJU4uUBk9ZlNQdy5SXT2x8qcmM6gQyuNuatvYdYTQlVy+NXEAWy3kQl8JQlqCtm8gFVhEv22vLhQlcPP8hRHgZKa+DcsETOrSoyJFE7UPW0sySkAQWE3joiuC9B3aNNEYM65c4iBuxnN6qAJuVYNQAm1HURFgLsHkTYUXjk7BQjvPu5zcAv4cdZdpASyPCfsLpITr7ZKjybTkxbJs+YplFpkMmM22QBoKcNCpDh0AqDcaAsvm22CmLqTEd1bEgjsqXZIlB5AvumTEdpdEqi1BubjVIGHXenkwrQ6oNaToBZpw0niSJ1xHHhR2rkAmXR2Z95k1AOODXFAg0mlBosAaDxReANVz26vxV9UOc8LehhUJg2Z2c5+/N/SVb42MMOD9RQ36dGZBaherpApCaQt2VxBl4QpJq6a4rRR15Bjo2eJnMsy8sMgWlJLXQp3V5HuYTZJRQ2zJBZft6Zi/OYAKf5q4xHv7gXR1RoFjwO3pioWrYe/+VIIirQQ5HIYY3QgoXs47atiOD83MuBfzpR09AGMDEGLVaQPPaHLWx/rYfN4s3FEkEhTWzWByxW7Q+cQUoLKeYOYSsg5lBCR9tE2dnzQNsFBYtQFmbJwYWKznOt+7R7bWTim6ATaEmhsqVBhjrwlTnE2dRlcopDknsFEUygfVcOwzrQS0ImJuNkXlLDJlBYzpGJe6LfPz4RXafvMKF//HdXNvuovNP/9wDnPqZB7jt//gO49XzzKXbIK9HuLRrM1+O3sXu8aPMtCK8RopMfZrNmLEwGKomvpZqEN8sWM2VohW97pMvrprNdJQJ6y//yS/yv4p/OvL5vRKw1l4ELua3G0KII8B2YFGSiIUgdQnGgDNz5reztmXmKTf4Ww/07CwitQTbu4O9UJLazjq1nXXSuZjZY9M0Tl4HqzuEMUEhpUEphScNSlrKpYzUqE4gQ+apTnpfZhWe0GRKkVqFL7IBspgiUTlZzPAwhNLSMvPMxpvZXL3EVHsjqRl2GRGA4tiZbv2i583ge5cJzRUq/hXGvMt4fozxIcagPUjGXb3i3xw6TWBXN3FxGBaznN7KAJtCTVzNAJvlsGY5ffNgpeOTMOC3bowgDqIgjFlLI0I1sE+SaY00/a8ltEX0btOWvJsFHpJiV+9tq+mSx1x9tIY+4mgNKCMwxi3OSSMcaUzy1mI2VyiV6KiMRkq0HSczdYyZIEnqZHqCNJ0gTSaw9sb7SfoqIvDabBo/S9OErl2FVC5gRkpSmxEK4XykAqw1HC/t4a/GPsZz4QNY0T8etkSZ25LjeaWfjyalIKo6D1UESK1EW/Kqd4gMZEb1EET3e9JGkmVgtXDt1gCRCaR2CqBJDDKVqJyRysTQarbxE42NU1SWMX1xGjNeJdtUo3l7iK4IXsjniodPuhKiowMusaPHhpcNrTZBXC1yODj+DyOHKyWGvdeCXuvo3gM7+sZ3Gzk10bQjvvOn30FM1pGBu/6awKeyfT3N680FgZM3gzcYSQTkeOfLsGh94koVRf8BZPo8Wk+7l0Bg8FEulDlvkFoE2jirp5enmnpFeI2VrjErkkBC3NMOwyr622EoSaDksu0wOgTRBzK6SuJ44FZ6UiC1qFjzoT84xZ/94A7ad9TJmzvy0v/4TpoX6wjRwl4L4YgHFXhi9/3IXQ+x7sgT+GevUmcjjbTM/g/3K0PLqYnLWU7X0I/jB8+t6PGraTUdRUVcrbCaUesQXw+WNyHETuBB4PEh+34O+DkAf3zSFfr3LPnmpYedyQy49GIba5pfn2LeE4T7alT31wm2dgmjPx4wuX8D5R0TtE5MM3dyCqEsQpkOYTS5TcpYiRQGT2nKfkZmJJ40VPwuecxsQRI1qfWoyBid99wKZYoxkkAIPGERxuAJzYbqNX73h38MbSSz0Yd44oLi0LW7OHH9Hs5M7yXtSe8rkGUTZNkEbe5mWgDjUKrMUEuuUNWXUVzG86YopS1CBLQXn1isBm7GcnozATYrwWq3wxgVa5bTNwYWG596x6YwnEBdXdjKxlM9ttDB45aXnjp6gG5mCx7nA2YoSey/30skdY870uQJqWgXcgUgPQlxP3G0ueJoe0ijMSC0D16ZLK3SjseJzBhaTJCYOomuo+0YoyqCgxBCEwZT1CrXGCtfZaJ6mYnqZTbULrC+epGJsEFFJq4G3PiODLr+aZ2fJSyphUv+Nv588kcIbcQL5QN9r7Mlu8LH5/+G97ceR1ubu9tSTF4KFVuJxv3PEJiif6KRpFbmP0WeQK1ItSBKFUZL0kSCFojYOV9EBiIF2QYVgTQWE2l8I5GJQSWGh951F89+7ShZO4agRLKxTPO2EnZSUfcDSB3J7EVBCpeymfZty1OrhxHEUcmhe8yQ5w8sCA4jh8sRw2ELgwUxPP7U6YVqYY91tHl5muNxzN6H73TKIFAbK9O8OsvT33AEsTYeOncfjiCmqSZYV4VaeYH+/9D79o6UtD0q3mAkUTt7qawDomM5Xa36RKUmOpZTKQTWuhpFK1zKqbaOf8lOgI1BCYm0uZqYB9gYqzs1ikZBO3UkUlvlrBGi2w4DQyfAprcdxngpYK4RIb3+dhitmZhGO3YkMVcTxyoBJw6f5/skfP4n7yTaUHHnKSyTm6eZb9aI14PdXYUXBUzC4x/6YX7+Np+zX37UEcVostM/sVYLblpNHKUVxnLhNa8HrDS0ZiX1iKNi1MCaUTCKirgaNtPXwwRVCFED/gvwT6y1c4P7rbWfBT4LUNmyw8p8HlarBTSiGJVfOKUnO8FvHeKoBMQQPdckeq6J2uxT3j9O7d5xZKBIZlLCLTXCzVXCHXWuPXoeEyVYZTFKIJXEqK5dyliJNgpVKIpG4kmPipe6iYJxCmNqFalS+CZz0enWoyxjUqEIhSYTGRUpybI2ZVUFAbsmL1MvH+KdOz9PahWzmc+LM3s4cf0+Tly7jwvTdzHTuB1jfQaReBNMeRNMsZeSmSUp1cFqSqZJZWyeUM8znVha1fWE2mNMtEnldaztlOUMRW+/xAJHj11aFcvpKx1gM9K5riDAZs1y+ubAUuNT79g0Udtuw9agYbGLYZPEbC5GVpdW1URmkHrhdj3QLkNog+h5nCpJ6FE2ZdE6Q2v8XJ2UvsC0JJkKSWyFTIYkpTKZLJMQolX+U1bIVIimTKbKrnYwg0BfJrablzz/YZAywven8YNpSsE0tfIUpfAq1fJ1KuVpfJVS9lJ8aSirFF9qQpWihbP4g1P2yooFBBEDiRfy7cmP8cTYezFCUdbzeDYlEz77o4N8tPkVDsTH8QAhx9G00EBqLdoKdE4KM+v6dEfGJ7VuHG+ZEm3tuxAe45EaRTv10Ea5mvFEIrTE5uRQaoGMcoKoQaUWZQS+kYjZBNFIIc44fvBlwq11psseuiSJ7wix0vXF7f1NDy72dSyly9hMb5QgroQcrgYx7CWFvT/BKYW9Y3nz8jTV8TKNnPhNnzzP8SAgSzVqwzjNOOuzkDYTA5N1iBJkuUwAPPTxt3D8hXM0m45wSj/tnFfn2vPNBW9rxXiDkUTZIYbWzEJeS7hq9YlmcB6YYfPam26AjUsFNLnltAiwMbjmq4MBNq3MbesNsGllEm2HB9gU7TDm4hihxJLtMHrVRICwrbnvn32dY//Hh5gfL2GERCmoVNpYa4k3lMD6cErAbQGfu/YBPj72LK3LU6jTFxmPMlRSZ26n6bTFGFQTVwujhtccPrXQ2/5aw6ihNaNiVKvpK60irqbN9LUOIYSPm4D9rrX2j5Z9vIUJ31lA5mZjFI4szrVjRNZPHK0HpGB8d3HOjMGeT5lvztI+OE+4t0J4/0Tn2JUdY9y2bS9Tj10iOjEN1ub1N7ab4lfKXACDkmTCkcRCWaz4GZlRlL0ktyEpKioBBKn1yBCEIgUpnZ3MpHhConUbhWEqOkRbzxOqMXwraZuIHRMvsnH8PHfe9iiXozEuztd56fqdTE3tIprbThJvIdEboac+xrcNEuogFImqk9Tr4MGlNjC5l8PFavQO+KaNOWBPsVHMYegfJ4b1S9x737YVLdgsZTldDbweAmzW8PrFisYnrRGz8ys6vg8wRGHshQw8aMTDt/dAlRQ0u1JTL4k0JYlMwAjJ3MQOpsZ3kqqQqxN70WrAUqfI01mAEOe2vD783DybsPDMAAyeaFBSc3hqBs+bxfdn8IMZ/NIMXqndGVOlzFNRRQbKIKwkM4p2Bso3tLWrAQRcT8LcwokC3xgyCdoajHAZFs/U38Zj6z9GKrsujEiWeaj1JO9sPcad6Tk22BksAivrpGYWIcfJ9HUMEoMgspLEKhIUkfXdf+PTNh6pzYmh9mhlHu3Mp516JJkiSz2MlhA7q6mKBSIGlYEXOSVQpSBaGtHMkIlBxhm+NsxdbpCNB6Q1D7OhRHU8pFysB/aoiAVB7J2v3ShB7B3LBwnizZDDpYjhSkmhe61zNK/OcvzJ7l+bbUcdglirV9j70C6e+PJBZi9OYetjhFvryDxByMSayvb1nXPpPYfjLzjnWWEtHTkAZ4V4Q5FEi0ZbFyTTRwwRGFm/4fpEOfkZzPSnh6Scdi2nkiSvVUw71lZPGGJrFw2wifH7AmwsfqcmEaARO+VRSRdgkyWu708RYFO0w1CZoBHH1GvDA2wKHHrxEio1/O1/fYi/vrvG+R/a587T11SqMVZ7JJmE7R6ch9b9mzj08kf50fsO8szXj5JevIqraqzz7ew073rrrgVq4mA7jFtpOb1nz1aOnFg6tOJW4OgtammxEoxiNYVXVkWEN4fNVLhuvb8NHLHW/l+jPEcJQWvaXSjq4+572ZiJ8cjJYk4cjaJLGtv5CmGuNIaf2Ezpvnp+RGczch0W3WPKk2WieBaUxfMEaR7UYJXFaIFX0n3KYqZVp2ax4qekRlL23GpkZp1FqZwXoAjlgifKzipBZi1CGhd4lVubpJVMhvfT0E8SWTrjnCc11VLM+vpLGKZJvEPIWKFaHun8BpJ0C5HcxLbJGidabVKRW2vX465QNv+vcXbdBHQCj8X7IBFU7tjHtLzA3eYcm2is6He59/5tHH3hwkgNlF8trFlO17ASrHh8yjRMz67oNWqbJ2nOLP1dE+EQpTEMUHGXEFbW15hvdK2uJvCQiSZRPte27KJV2UCrPMnFTfdgKiVHAKULncEnvw95jmD+wsXBWEAShc3wiSjpOTxOUrKz+HIOX82g7AyB1wQ/t+17boFOKZc7QWaxSNe7WlkSYZFKEgYeGMN8mlH1PRCSZppS830yk2JUCWshJcWzihCBoYj2ciqgwnK5dFsfQTSAER6PV9/F49V38dbWU/w/pn4DKSypmQFA61kyBImFllVExiO2HpHxaOiQ2DiiOKfLzKUBjSxgLglpZz5R5pGkHlFcQicK21LIRKLmndVUtUHlRNFvWfyWzTMqLN5cjJydR0cxIihhx0qkVUV1fdjpSX3oxUsdglioiIvZTG+EIK6EHN4IMTz+zNmhxHCQFDavznZSRQtLKPtv4+lHT6AzA57nlMACuWhv/BKtxPDElw9CGFDfuZnpdtohiHfv29Y5t+KcBmveh7lVivPau/82eGLB7hXjDUUSRd7aXutZlHKTKSHrnf0d2+kN1idKWUfr6ZwgdlNOJQIlfDKbuMf1WE4VBiMsWFDCuJ9F35p8EpVKTYDv4o6lIpUGZQyhpxBAM3YrVkI5jz3KrjjAZqwSdJqfHjt+kY+ZrXzxT09w4W/tAcD3M8JKm6RZhg3u+FyCYx/4IE89a3n4/fB0ThRrcYqM1/FYepp3vnMXB8/cuJq4VCuM1zLu2bu657zSesRlj/cqqIir0e7idTIpfQ/wU8BBIcSz+bZ/Zq19ZNFnWKj7AY1WRPt6RHU8pO45ItiajqmPu9sy65LGeo/SKO4I8W7rbVDs6k/I484B5p6YwkYW5QuMFvhKgLQdsoh0wRGFDVVKjRDgSel+CokQoqMqFq+TGUcYKzKmmIEpYcGkpMKQ2oiKGmMyvL9zdoEAKwuiaPClI6dKOYUTYGK9z/XKJapzl5mcAXtZsD+T2MxjdutbOSXf4V4v78OIxE0Ky5DYwM2iLkApavFtdQ/fHr+HIEt4IDrLpJq6md/vsth74HaOPvfyonWJa5bTNbyKWNH4JIWgMmABXQ5zZ5ZenJXlENrtvm2DxLK2sU7z/HUE0K6Mcf7ed3D59j3MbtyGKflgBLSgZNqYcgk2kY8F+bmOUDp4W/Q4E1Mv4pkIJSOkTbG+K88BtyhXODesB0aCzYBMYDT4+ZxLYvPx1sECSnkIa4hiFzCp8BxRBJCKZgplT5Ia0EZRVoZMGFIDnlB4VqGsc6FpIdgz+yzH6g+580LmtWbd1zwR3MW0dxvrTQNjZjGARpNYiK0ksZLIesybEvMmJLY+DRMyl5Vpa5+29mll7n8zDpiPS6SZ108QY6ciqrZTEL2onyCqHoJopmYgiiEIkJvcPNvkCmJvMvVyNtNRCeJqksNRieGiamFPTSHtNtanYx3VmeHprxwiUwpTr6JqAel8gudJ9HyMN+EWiYXnoQHpl1C1MnsfvIOjhy9ArDvn2Hteg+c0iGFK5mrgDUUSOy72ARVxMdvpjdQnKjXRCbBxyqHBktFvOe32TPSEHWo5xXoo4SLqQ6CtNdoqtC3qEyW+kmRaEnqSOAWljFvFyi2nRYANGczlSmKrV0kcCLAB2LdvG0ePui/Vjt8/wvyOcWYf3OxqfJTG81Ky2IcAWOfe8yM738ftrYs89P59HHv2LDPXZvAbY3jz3T+fXtvpqO0w1lph9GOUesTjz730mlMRR7GZwhuGIGKt/SYrTDcQ1n0PJ3y34ti4HlGphx3iKFM6pFHonFDOxEzUAuaimMp3b4G6uwJbbbEtjY0NNtGY1KLTDK8NwuRpf77EKvrIoklcAnNRsyiVJEaglSOZnlIghBufhMgDwARpX6qeW2kqy5gIn7JQSDTpkEuJq8PWnTRVX2qUNO5clGE2i7CBIZ0EUJRmXEjG+rLCb77E9cYdNMY3YwZS/fpI4w6YMVucyphBHJV4wt8DD9/Fk8kcb2uf5H79Eh4rbxS+d//tHDv48kjNk28Ea5bTNdwKrHR82v3ADn7/yd8Y+fi/9MlfXXL/8acX/k03Z1sdYmkBs+8entj5Fq7u3kdz01ZMUHJnXMItBLlwZNgISeEsGBXW4CUxE1deZmL2ZSZnrmB8qNRDGi1H9sbKXadGrewW48DlOljPzadcmWC3vcUwoggSqejpT+2RGo2P6yloLWQmpewpMqsx+KQWfGvyukFNhofEUjMttrdOYREkKiSRZSIZ0pYVEII5VecPxz7OT0//NiDQNsMgaFlFYl0qdcOEzJuQhgmZ1RXmsjKzWUgjDZlLQ+aSsEMQo6iETguCKFDzjiD6jZwgti1eSocgeo0UlWhkO0F50imdxiLpmj0AHnvhLGPlYKjNdDmCuBQ5hH6CuBg5vFliSNytzz3+1Gmasy1q9QrNhlv00M02ysvLJPKFkKIlRYF0tgnbNqHrIdUNNWRqOudZnN/d++5ZUd3jcuRwNYlhL95QJBFAm1nX6F7WUXKcYqxcDdtpgaIVBrhYYYXfSTk1wuaWU4sSCg9nGV1oOXVqopWuybU/pGdiO8ufm/dMNDrvD9TTM7GwnE4EIY05V5M4LMCm7gcYP7ec5u/jnnu3YX7tSV74X95Ls1JBXleYuZL7zCQwBiTAJp8/bH4PP3vi97j7LXfw+F8d6rsC3dcTYjMswOZmLKev5/CalYbWvNIYVUV8pWymb2hY11+qQGfxBkcc+0hjrjTKFFdbnIH6qymyXWXMhRhuq8KYD2PdDl3MJpR/8m7QBpv30il+Gp2bmyTMfPUkNknxQosMQtKkjc5nOFnek0MJ2RcKowZJWo6yjGkb6cYK3eRK1P09h6pKqiNHDvPQroqXUa9EJKlHagRIwXpVYeZihN9079P14YKxdIq3H/5TNt+7h+tejRfaFS5uvJus7ENZ0PFraVxTsOJ2BMwCVjBVrvPF8K18KXuQPfPnuXavYsK+wBazMmvdGtawhi5WspgXpfDj//DPOLjlANIYUuVzYcMWKCk3+ywWfAA24rYVw42gG+pS3JdAjPueCyCzlLI57jh5nNqZl9hg59FXrlCbCGnOx1QmyjRTR/JUPuaOVdwYK/2cLM44B5ah2wtapr15MksTxXoY0jSOJChpyIxAlUOiyTHau3cR64wpNFKCkAIhnHqLdC3UrBAIIbBYYq+G6anTBghMRGAiyrbNj87+OYg6qZlCI5k3Lpl63pZomRIzusq8CWiakOtpjbk07FhMZ3OC2I5LpKmHjjxsS6FigTcvUJFARV2C6M9b/HmN38yQsUbNRcjYEcSHPrqfo4cvdPohtu6oYNd5zM/FfQSxuMYNEsRR1MOVkMPFEkqHkbCCeBU/ey2kMMQ+Wi6z9627ePwbxyH0QXlYAZ6n0F5OoaIY/JLrY6gs/h1bKW+rMzPT7hBEmWQ9BHHbkj0WX03lcBBvOJIoelpg3CrbKTjrKWbWJZ0ClixvgOEmgkp4pDZD5SOcEq7YUAlDCUGUW04jM2g5dRaI3p6JcUZfz0STsMByOhfH1CsB87MxjcipijKjE2Bj0v5J6uGTF7n3rq2oWPNj//YYxw9dIKv4XEtLfPsf/wwdojgJJNDaGPJX8+9h93/+jNsVuVHg4LlL7L/NfYFvRE1cCqOG17yWMUpozahW05UE1iynIh5/+szyx1mFsJo3mM30hiEGSKJK7aKkUaX0NS2uewGN5+eo/Iqm/YFJ5G21BceXbYPdsvyK+8QnHgBrsdaixstuomIha0ZkUUQrjVEmJjKaybPPAFBRCe0hKYXQTxR968ZTX46R9eRy+9KNi740lL2UWiViTkvSCKavR/jzApEJlO7G7t+zayuP1NfztfccINUBIJxHLAJ6F22L1mA6/1nJ/yf5vjbYSHLcvx0y+B2zDWUy7ovO8tH2c5RY5I29xvBq1SWuYQ0rwWwMv38UfuN5ODoNsQQO/ID7bvo4pbCKUwl93Ay0CJspuFGvU2BwfWrMgqfBN4ABZUiyMs2oxFseO0OzGTO+rkrz8jyyJJGpQSaGWqVM81ob6XfJIrjxtbenvdRdstgfPJpnUexeh79zAmsMIlSIUBEHilLJQ9VDRL66lgiQOkUqSZvRIK0emtgcy5BfvPzrhGSENiY2DVIraVlFal0NYsOENHSZlgmYzqp5DaIjiNejKu3cYtqOS8SRj2l7iFjitRw59JoiJ4fgt62zleYE0ZuLkUmGpzPIMsjgO488ixmvkm6qMX97CGPul3cjBHFUa+mwPofDVMPjz728gIAtRQyPP3V6UftorV5h+vI1vvPN49iSR7I+RCYlhBDoWEOlhIwzqLu0DhGnCKC8rc7d+7Zx7OgFGFJjOFhr2Hk/I5DDzjlza8lhgTccSdR5qqmzmY53tg9NO8V2bKcjEUX/ARdeI7qTNCmEC8vBB2Hc5AuLJkPltYvdlFOLQZPYDE8IsH6f5dRaQ9OajuW06Jk4iuW0t2diLQyYm8ktp/7Cppq9llPojsl+K2V7HPHAF77G89/zQbfTAzZAO63wZHYAeddbmTz4HeTpi9Rxi/aHsoXK4UraYaxh9NYXo1pNR8EoA8woNtPlWl682QkiANZ2LSf3bOPwyUtdC/jdWzl8qnt/rBJCbk3V+QV3rBzAtYzy16Yxx1qYTSXsphJ2Y4DZ4CPmMhhhTcYb97H0r1QjQI5VYMxd6HT+3545SDtzJKqiEjJrSK2Hby2pNQS4SRQ2dkE4VuEJTUu3uO5tArWJhswwaYySBlvyif11mLEJ0rCCzcpQF+iWhcj9t0Zw7Ef2c7JtmNm6mapogmgQt33aU5OItsyjerrnjqB7JZM4q/wwHAMaoKXH87U7eb66m/XZHO9Wv7v8B3cDGLUucdnjjFiXWFhOV7MucS28Zg3LIdHw7j+A49PQ6PZzd9hPHoW6BOzAcxaBKGWM7byGVBaExVqBFBopDMmPr+PKxW3oq/PEE2XaSUapXmbalySzbXSthGomBLMJop0yVglptCKyiTJjuFq6oiYcYCy3nVqvW7doPUge2Ao7xoefH7rvbQi1sjpPIxST6RUEsDm9xJb0IrfrKTYnLzKZnKKMZQ6NsZK2DYjythaFvbSpQ6ayKnO5vXQqrvTUHwbOXhp52FiiWhIZC/zmQvVQpRa/maFSy8RElaidoZOMLNWQZk4GqZSJ836IYkw598cQgihTuyhB7E2gXkw9HOxj22vXLFCQr15iKHsto8+cpXltjtpYdxH16S88S208ZO/DdwLwnS8+1yH4NjPMTs27n9ebkIs1ycYyTASQGKrVAJXkhuO0W8rQe36DLZQWI4bFORZ4rZDDAm8okmjpppqCI4Za1vvSTovtRtaRhY1qBfWJRXiNI5td26klQ3R0wxQFWDzSnCRqq/DQJHgLUk4Ly6m2rgVGZiWh8mlnzgI2aDl10fb9KadzccRENWR+ztUkFkpiY6a/Z6JKbZ/ltEBvRPy+bz/Jxe3bufrAXrezhLOCCPjOD/4MP3+7z5m/fBR1+iKTUcZcAm/92J0cfPnSomriYpbTUfolrmF0jBJYs1oqIixvM10jiA7Cdi+ER45c6CyQ77tnG4ePXezcN77oKIwmX/XWfk8z4msZ6lqG8edptGMXchPFVNaFyNoV5rOUyliALQnmdYr1BbYkYMwj/N7Rw0os0BBVKjrDN4ZUKNfnVRhSofGEIrVgTEYoPFIMHopD5fv49vi7eLGyh3vmnuGlyh4iWSYTJYzsXm7s+SuY7VvRONFv8LVTBEHPHq0FGEE5iYljhVAKk7vA+uxZS004B692QjCjavh68R5xy+Ho4QuLhteMiuXCa9awhtcySgqeu4ZzDwx+90apjFzkOyuMQRiLsBa0QSQZpTBB9nAvF99lET4c/2fvHHr48MVp0jt7iJ3JUFHGxGOXmPnANmrPX2P9508yRreurtmMuyTRx9V3e1CqlUYs9rSdY1XOHafeuEhIQiBSSiIilDFlkVAmpiojysSUZcxGc5WqMIQiI1QVFJZacICWvE6qG8QWIusR2aL+MKCpQxo65HpaEMQyc0lAIwmcehiVSCMfm0hkS+LNS5da2u6qh17bUpo3eM0MlZiOeijLJcKtdWZmW1hbqGWaZH3AQ9+9l28fOQs9BLE1G7lFTrrOmYIcHj12cVH1cFA5PP7ChT7lsCBew+yaRcBLL9EaJIVECZRkJ320Ol7u3H7i68ew9TFM6DuiGKUIAaIdu/tBiYf+9lt44ukz0MwYq4aQ2KHksPf8CixlK4V+dXMpvBoEEd5gJBG6SiLkltAcxszm90UfYTR5OwsY3XZahNfYvLalqEvMKGp6wFivk3LqWUVEihIe0pq+lNNAQpQ5smhUHntswVhDKg2BUgssp1rno+QyllORwUStv2eiTG0ngvfwSTc5PXL8Ul9apyl5fNcf/Rl/fvvPEdXH3EkFOOupFfzf+3+Ev/0336FxdQ774lnGgWeTE7TvLHV6tqypiauLUa2mMFpgzWqpiIthlDrENwtBLFBcCBVuUebIiYsczQljoS72EkSZ2q7KSJcsGo/Oyi3a9UWlZTFJSk1B4/octVpALQ9gsMpNdOYvHsJuCJH3b0Jum4DQQwj3epYiqCaf2qQZqVcmSxqkRhIon5aG1CvTKAUQhpigjPYrxKUasT9G06tzJdieT/gkR8cfwgqJl7UxauBSI5e+9IieSRaANZK7zl/kw889z8sHz3aCDwzwxLWU0v13c3ZyI0przq7bRIoApTBCIKzFSMnui8+QiNs472/AClcPtDWbWlkCUQ/2Hrh9Qc3Lio+xiuE1a1jDq4WtFXi5t9WihWruDte242p3rQyFmyN5+f93j8GchgercKAK95ZhXxnGvS4bLMJyfvPdP7bicxPhQF9GaSlVDK0PbaJERvKWCS5vvpfSkesEqUG0UkpRiminiDiFOMUaAx40p9qo8QDbOTdRvN2ee0CcEl48Q/nyi1SzBoFoE6qUMT+iolLKMqGsIsZkTChTApFSszGBTFEDI9JU+5tkVhNbjwSfeVOiocsj1R7GbR8TebCItdSphwaVmL7aQzHjeoLPWUg3VklrHmnVLcaZkoAxxQt5DoVMLdIv6j3DPsWwT0nsUQ/v2bOV44cu9JHDXmLoti0kXosRw+PPnO0LnKmNlfsspFW/25/QRjE2ikkbLb7zxeewQUC6qYYpuXRvmbg5rIwdyZQVJ4WPVUNa0y1kaXXJIdwagjjqQv9yeMORxF4CqM0sStadHbSXGOaE0VizQE0clSgWKqKUdYyeAUAisHm7C1ejKFAIUrLOyrsnXHezJE85jYxGCUWgwGhN08obTjktLKeFilj0TFzKcrrvvm19ff9MoJCxRhrDx37tt/n8f/+PoJT/mZSBOuiozJOf+u/4u8//Z5748kHMi2epxduQ8Tpae4HbV/xruykcPnWprynrrcSoPRJHDa05fvDcqllNXykVcTmb6ah1iG8mhKHfWSU9esxdXDvKYk4W781/v4dPdv+eDx+7yL05UexVFQuiaHxXd2wV7L99CwdfvsRYGNBoOpVxPAg6dqm52KA+cV/HVgP0ETFjAQR6ag41N0u6bTfT5XuZDkJ0UEaXylg56EHoRw/NpJ5cZax1mZlgM7E3BmkCrQgxFyOm2qirCQiBlLKTrFquhUyHCpVodp1pcaXZJhkLecuU4f4jV9xqdM93XQL169e497zHW893/26PHrnQ+XwNYIXgxRfOd34HMYrnw51szmbpdmlbwxrWcCP4Hx6Gl5vwt3bDgxsh6JlZxibvXrMy92UfigXFL/7Nt8iUIj1zDa8VM/u+O9DjJUzVp3pqBhVlbrlLu1FIADLOyC43SdaFpBMBjAsGs7js1grx1goxiyDV0EpRcUZ6vg3CIEOFHA+QYeGnVd3xNFC0d96DDUPWnfwbPJURqgRfZHgiwxMpoUhRQhOIlFCmLgkaxcbKO2nEzxHpBonVaCTJEOWwqDucSqoLlMMsUZjIc8phEUzTXkgO/Vw5FEIwMVFl391befZrR9FiHNuKMSWPtOYR3jnOQ3dt4YUzlzqpsPNzEfVKSKsVLbCX9tfbO1JVjMlLkcOiRyA41VDE3Zrx48+93GcjffrLBztqYfOqE2we+tB9fb+2px89QdZoub8FITCtngrRIMAGAezeSFaWjK+v0pppU93g5suFnbT3fdRq4dCayMV6Ly7mMhlVPYRXlyDCG5AkQk9dYi9h1LNIIZCy3hdiY6wBIZ2auEKi6A4wh1J1rJ7phKwr/M5wkeWpp75QJNbgI0nyekVwfcQCCXGW202Fwqo8Jjr3QhehEZnNG2HnSuJiltPGXIxIWdRyOlYJlrWcmpJHmKR84N/8Hl/79N/BRXLhis4n4MzWO3ju4j287aPw9NcOk567QAVQyQTfjk7zrrft4r5dW3jh9PKW05vBPXu2cuTE0j2bVhuj9kgcJbRmtXGzKmIxuCyXaLpWh3hzOH7oAnvvcxeQYX/DR49d7FyMjvYQxSJJ+P6d7oK9f8cWDua27hdOXwLPhS+MhUFnwlKEMYwjmY819KysW22wU02Qimz9JCBg/UbM+o3cqAlTAJ84+WvUWleZywJOJLfBVJXGtQDb9PDnZKcWJkBS97s9XO/fuYXDJ7uJxr0NmIdhsCkz0FfrAnn2he2/4Ado3ha5v/W1xhFrWMPN4R8eWHxfcBPkcBDf+a73dFTFotWGCPO+c+WQ5lxEbWMdAp9mM6ayvoYNFCZf6Da+5MKn7mT6+1do2fMV1FUec+UyKfLoHFz7M/dfWNsNn7GWjeeepuwlhCqlohLKKqUsY8ZURChTarmSWBaWihrvzhutYt4KdN7rcFRymLZ9bOpspf4ittJecujNxggp8DyJLLv0zXBrnemZeSxV4nUlzHqvoxMU1535OWcrLdTDghQOI4ewUDks9h1/4cKCOsNeYgj99YW9amFhIQU6rSiOP/miq+E+eI7Z6XmMsegdm/LjZDg7HIg4c9eEbXXe8t673PU3NdR6ag2hn8SOQg7htUMQ9x7YAc+P/LRF8YYiiRa9oC6xUBOR430r6IWaWCSh9tpOod96aqY/PfT1pKxjBuLUBQJLSreLjkAJRWJTJB6WFJlXcrveiZKWcapiKN2g004LFVHhSYMyriYxtJIoAakMIm/yumzKqRdQG7CckvZPmAaxd/9tncTNzWdfZt+Xv8nRj73P7VRAHZgW/Nn+72X318/y0Afu7RDFUuBTHvN4/OBZ3rF/aSLRixfODK9LvGfPFg6deP22wVgNjNIbcbVURFizmb5aOHrkAvvu2ca9dzmiBK6eo7CbgiNN9+3ZwqGTl7j/LlfPi4+zdveoiQAPbN/C8+cvuWbROeS5Oczt48hLTeTRy4hLcwjPMkeM/PEPOR/YElBZRJDME2ZNgnSOStqgpmcZy2Yopw3CbA6bxESZ4lxa59x8nctzZeanQ2xbLSCIMqMTbFEQxJWiN0a9QG9S3q1Cb7PjNaxhDa8MfvlPfpFf+uSvsvehXRx/+jQ2ihFhgG1HndYFxCm1WoCBTspkQRQ3/94p1v/pWRq+xd9WI5sskU74zJcFpl7CjPuYWgk75iPGAkzFcyRxURQUEfzzpyg3LpHuuNOpc9l1QpVS9yLKKqEskz6CWJEWiUEJS2yaWDLm5h91dYem2gmkaeiQuSzs1Bxej8r9gTSJwrZdv8Oi5tBv5OSwZZEZHXIocNkUXiNBNlooT0IY0Lo+T5pq0vGAtOaRTHowpqiOB5C6OZrMU1+LhNiCFLZmI2qV3KbZQw4LwnX80IW+7dBVDQcVw9b1ZqdsqfhdFti7/7YOCaqNh526wgLNuYgnvvQ8Nihhg5KzkW5yaqNpZ3hKYtsZKg8Vqky6fQWJLTCocA5rtbFS9RBuPUEssJpJ2LeUJAohPg78Go5a/Ja19l8M7P87wH+f320C/8Ba+1y+7wzQIG+TbK19eNnX69HGTEHSBtTEYS0xOrZT/4G+EJtRFEUh65g8vEbmaaYKHyMsxlpAY8nwKAGuFYaP7LbCMBm+EGhZop2H13hCEkgfo6DVVd/JcrKoTaEkGqxWjFcCGo2EsUrA/FziiGKuIi6VcgqL1yUWsKHHA1/9Jpf37mZ6Z65S+cB6IJX81ts+xT/59m/y0Afu5fEvHXRJiXH/YLBcO4z77tzCoRfffPWLo7a+GBWrpSIuhtWwmb5ZCWIUpR2bKdBREXsVxE7qKfTVIvbd3uOUxHtz6899dzol8b5dW3jhpUsdggjw/PmF36ngS6dBWhfKoCy2WOXXBnXlOjYMsI0G5SxBRw1K6TwTNsVE16mZOaoyxhcaQUrNc0nMnszwhSG1kintEekx5pKQK/M1pptVktkA2XaBCYMEcazcVRELLKYiDlpNV4LXas/StXrENaxh5Rgkinc/uJNjz5wB+he5waVMDkJmljEhMBdbqGstfM+1wLMKZtJuaE2iDLIsyQKwtRJm3INaCTHmIao+ouwjyz6iXIJyherV00zMnqF8/XkqXsqYFzn1UCWMe23C3Fo6rjQKyZbK27jaepTYQIqhoStE1ic2fp9quGi9YduDpFtvqCJc3WFODr2W63WoEoMUAuUp3vbQTsCpeA1r0YDJ/cFmPCBdH1C+rUrUaCGB9nVnyC9UQ8jnk6ntkEOZGKTv5n2t6bYLdwFa0y1qtfz21Hwf+VuUGEZxnze5d85y/OA5CAKajbZLW63Vus8BUApqFYzvoSdCKnfUabbcvvH1LnhHVhcqnDB6u40bUQ/hlSGIx598cdVbJd0ykiiEUMC/Bj4KnAOeEEJ83lp7uOdhp4HvstZOCyG+B/gs8I6e/R+01l5byesaa5FC9JX+9qqJveiNbAAw6XN9tlNYXEUcRG/oQ6EkWlyLDGVVX12iJcMX9LXCMHmyqWuFIbAYsnxb0QojUJI4cw1bjTJkWlEvB8w2I+qVMnNzMfVq6FTEOKaunIrYmoldvHMKE173S6p9iUrNgrrEzmdZ8pCJW3n68P/v3/Fn/9N/SzxWc29zHdCGeTPGn+35OJ848QWkwHXPBUxkFg2uOfjS6lpOl8O+u7dAtvzjVgsrmZAuV4+4ksCaJY+zCioirNUh3ijC0O+E1UCXHO7rqUMclSACndCAgy/l91/qftdMb9in13+/t2awwFwSUa8GiEdfoGnarK94zOsWG8slItOkUvaJTRPpaVJcT8Sy1PiyQqpbtLVkzkja2qedeUxFFWZbZebnytim19+sWcP6WrnTw3X/DrdAdCMq4jCr6VLonQQUGIxY79s3ELW+Uoza/mIt2XQNa1g5CqI4CkzJo9mMqExWOtsarRjjuzpv4wtMXuttgy5BNAqM1FgDOmphUwNNg5zSeCWDkJrAzwi8jLEgpuyllEs5KfRzgpirhxWZ5AqiS7bfUnkn16NDRNYntYamqdAYohrOJQHT7TJR5nctpW2Fakn8WPSphjJdaCmVsUbGmQtlqZY6i5Uz7QizoYzJLZs2cBeKh9/r2kI8dvgMY35Aq+WspfOtCNlDDIEOOey1aY5Vw45qWKuFHcWwVgv6iGFhI+0kkRaKYa+NlB77ZN6uopkaUuVhyyFZvQiZcce1PaUUb/3w3QCd68pS9tfeVFV3v9+J8nohiLcCt1JJfDtw0lp7CkAI8XvA3wI6JNFa+2jP4x8DbupqOTj5GaYmuscVRc099tJBNXEFGAyvUcLv6ZeogQxVKIkUdYnuNnTrEi10WmEMay7UbYXRrUmcSyLGy2VmG66IeK7h6hJFhuubmHVrE4UGl/aeN4ZdpOjo6PGL7BtYjVNS8OFf/x2++P/8OXReA8A2IILnd93P/VcOAQcx5y5QDnxMUOf+h7Z0Jq+FmvhqpZ4eetGpLq8UVrMecRSr6SulIi55/LU6xEUx30544tkzVCb6G94XF7BmK6ZSdyuuh09dotGKqdbD/HZEpR5y6Iy7XR0PabRjquNBXxuMWi1gLr9vPWhEbhJUqwR5cE2MzXIVUVtHHpWlPhYwl7YRxjAsl2Y2iUGAl++MNUTCZzrRQEBqJK3MIyp6cs2HZE0f2ZYdgiiznCAGwwligV4VsReLEcJBq2lvYM2oGJwQ9GLYpOC1imOPjVZdefTbx27xmaxhDa8ejh88R7PRphb0z6EqkxV0SWB86UghPQTRh0QYjAAtnaKoJdjQoqXFlCw2MK79WEmjfI3nZZT8jLKfEXoJZS9lvBQRqpRxL3Y1iDJhXCUEMsUXKWUJLQOguDz3LNpKmqZOS5cWEMMFQTRtrzOmupRSkFm/pVQlTjn0PYVILSUDJtGIJMNayAKPuWtNbL2ELknSqqS2udr3OR06c4nWbMREJWT+WoTE2UpVal2SaY9qKBOD8u2iimHr+jzVfDv01xcWhKmXFBXzkOacUy+zhovMFeXQtaoIS5iSR7axSjbmU9vS7VkO/bbXwyed42YwVRUWttyA1zdBLLDaKiLcWpK4Hehdij1Hv0o4iL8H/GXPfQt8SbiM9s9Yaz877ElCiJ8Dfg5g+3Y3KCylJmprUQvS/fIAeH+/UxP9A8N7Jy5DHlWP9bSzDYXtJJy6OsNkkbpEY7t1iUY726kvFWlelxh6ijhXxHpbYcwlESCZS2JHFOf6VcS5KO5TEJdCb3hN5zMKPUSUMX5tmnd87g959Gd/shtkcwdwQvAfH/xhZj/z4/zo+k9hXjxLlTt45i9P8OD37OlTOV6rOHr0Avfe9coFzay21XTJ11pGRVwurGZUm+lSeDMTRADhScKNFczA9kZuhaluKHf2NVoR5CvcxW3juWbP5BMak3V7d5lcLeykmGYxtTDo9Pea1bFbGCuaQqsuQcSzIC0Cg1QWKQ1zacSGSgBYal4ZTxmUDJhNm4R5LUfLGlItyYyknXq04xJp4rnamFw9lLFwE5o2lJSkHnQXq4A+i/kwFXHQWjpoPR0Vt8JqerOtL1b0WiuwEN394M6RHjeq4v9m/96u4bWLXhXx2DNnEOUuGaltGMcEPjZQNJsxppShSxKTSkxJklZEhyAmMieHoRtLda4mGmXRJYstGZf5Z+AQxAAAMoJJREFUUDKoksb3HTkMvYzAT6mXIspeRlklnRYXFZkwphKqSlNWVbaW93Jh/jvMaYiMoqFDWqZEW/vLEsPCTuoP2EkL1VAljsD5nkImllq90lHKGvMRqqTQLQ9rLXrMR5Q9TEny8Nvv5PCpS2gcuQJnJ52f7SeGtUpA62qL8WoAqekjhvVamG/THcVQxhnCd9RCxBnSHx480yFEb93Vud9MDEyMkWXaZY1VnfJrAg+bp8jqkqSycwLjL6yfLwgiLGy5ASyoO+ycy2uAIBa4EYJ4K2ymBW4lSRyWgDA0MUUI8UEcSXxvz+b3WGsvCCE2AV8WQhy11n59wQEdefwswIEDFWsA2bN/WNIpLAyuAdDJc92WGDCcKPoPQPrcsLfR6ZtYQAmBtingo4QCa7GkeCJ0fRJ76hID6aERnbrEYUqiO+bwusSiFcZc7Cync7Pd0JqiFYbMoD5AFvft28bhoxf6PrNe7D2wo8/yuOPoi1z/q29w7KPvzz8PcqLo8aE/hCfnP8fHq5/qtMV4Lja094Z9XvTFUk4XC695o2IUq+kroSLCrbWZrk00QVvDbLowYL2ywU1sNDkhBKrr3bbZnBRWx4P8trPszEYxtYmAmXYMCnfcghxOBMzFMbNZTG08yPsk2j5yOF4O3MKSZ6lXSwhlmCgFSGVo6hZK9lPZe8Zv58jcy9T9GrNJTJQvVDUjnyT1yBKFTRW2pTrkUGagYoFIQWmoh/0EcTDNFFZHRVwMN2I1XU5FXG5yMGrvqzWsYQ03hiLhtIMg6CSb2lRjUg9TUo4gliSJApsTxERajLRQkWhp0B6YsEsOTdBVD2VJ4/maSpgQ5OSw4qWMl2IXSKNSZy+VCRWVEIqUigIf1wP7Yvs4c9pnTpeY02Va2mc6qQytM7R5CI2KBcH8cGLoz+dkLf8PrsWDpyTKL3HkxEWaaUJlU5W56/PYsIQNFCLsWkWK1mGHT13qpN63rrVRsHrEcKC+EIbUGALHXzjnbKTVMtZYsg1O3TQl6ZL+8x6GALLs9RHE3r6M0CWHN6MeunO7OYLYeb8jEsQbvR7cKptpgVtJEs/R3zHvNmDBVVkI8QDwW8D3WGuvF9uttRfyn1eEEH+Ms68uIIn9sAvuiQFyCCzom+geu4iaOIwoAqp0gCx5tntf1cn0TEdNlLjIGoGX90yUKGRel5jhCY/YgiGjJH0irTFWEyjf9fWyhqZ1wRC9dYmF1XQiKDGls566xMQF2MwlAIxVAxo9iqLMXH+1xnS8aCuMxcJrOp9R4CPilAf/5Itc37Gda3c7jzhVYCs89RL89F/CF+Y/x/dN/NedthiwjrkdBpbgIa+H8Jqjhy6M3P7itYJRVcTFcLM20zWC6GClIK30r5tl2tCOevo2SZCh5Hrc7t4PJNejtguEKkmuxe729bgN0q18A9h8Tela0kYFkswYrqetzm0jLFYA0nI9m8cPBEJZGqaFFJaJUommbjERlPCUG0dnk4jMGqaT08SZyc/ZRxuJ1pIsVW5CE0tk4lRDmQm8xJHDkpEIC+PVfoK4lM20wI2qiINW0+VUxKWspothNVXE5RZvRp0ArFlN1/Bmwi998lf7WmAU7S8IDaQGG3iYwCNRAqNA506LtCIcIZQC40EWgBEGHbpFNB04cmhKFpETRD9MKfmFtTRlrORqD4uaw3E/ZkwZyjJB542DIuvTSBSpVbRNiZb2aaSTtHWpoxi2U7/rwGh72ET2pZPK1BFEL2/k6rctKoXJsQpR3EYagU1thxwWaMxHmFRSmShjfMHD37WnLyEbYH42Yn424uixi0SzEQo6VtLaiMSwt8awWgs7hKlXPeslPs2Gu649/eiJvnN5+rEXSVPtfmclhR4vYeslKvWwryYf+glhcU3o3M8XDQfJIdwYQVxskXBUgjhqTXovXks20wK3kiQ+AewRQuwCzgM/Dvxk7wOEEDuAPwJ+ylp7vGd7FZDW2kZ++2PAP1/JixeW075tA20uoKhP7OqJhZq4gCgOQCfD1cRhUMLDWEGKBVI8ysRASQgMkshklISP7umXCBDm/RJ7E04BPGVoJBHgUQ8DZuad3XQ27qlLVCG1StCtS8wVxOp4MLQVxrDwmr37b+PowXNIupbTAh/89X/L53/5F4kncrK9CWjCvzsOH70D/mLmd7pEMYpQyRYeT0/xjnfsHvlzez3i+KELy9YjjmI1HSWw5lariKPYTNeCakaDFZaoNBABXnIErh8GVe3d7u6nxnXlsj0GgyKQpmhxYT2LtaA9jcmJXqY0eBbPF6QmXxVXFum7tOSSEkhpOgTxwPr+C983L52ikYLWHkZLtBZYLbGJhFgitauLkbFAaYHUUNISYUBkTrWUGdy/w9UiFwSxwKDNdFii6TCspBZxMRVxMYL4SqmIo04I1qyma1hDF4sTxBKEAamSGCWxNR9bkqTKWfe1L8gqwimGHmQh6HJODsN+clgohwU5rAUxFS/tI4dllVJRGTWlqXkhW8v383LrJNeSNqmVnVTSVuaIYTMOOuEzWaL6FEOvcF/kqmGxqC9Tl8TqK4kygrGx0BGl1I2LrdkIm5i+nraVifICciUH2p4VNlJ6iGHryrxrbzEiMSwwOBbuffAOjj9zluMvnOuougC27tTBLDN4nuzcNoHXUXqZCDrksBcLCOEQ9RAWEsRh5BBGUxCXwigEcSVYyfWg73m3WEWEW0gSrbWZEOIfAV/EtcD4N9baQ0KIn8/3/ybwP+OaKfxGLiUXrS42A3+cb/OA/2it/cIor+uX3kKaPNtnn+wE2AwhiL1201410aYH8wMuVBF7ofwDZPHXQY65Y5i5zj5P1kn0NQrrqMo1O0uKT0hChrUCX/jE1jUMK0loadC26JXo6hgza7pW0yxXE8MS1+cjQHX6Ja5GXeIgBi2nBAEqjvnYP/+XPPIr/xPaU85cvAtow099CT5xJzz0gXs5/vRppq9N4V55C4/TJYqvdMrpawnLWU1h+cCa5XD86TPLhtXcrM10KaxNMruwCpLa4FazwFVubL69Z2RObPdx1lrw897w+WMKQmhVPoZ5+eM8F24FoJUlKIih74ihB0yEPjK3lx5Yv43nrruL50zsHAlGe8QxGC1BC2wsEdqphiIniCITKAMidRMbIfOIdJ8+gtiLUcJqCixHGhezmR4/dGHVE02X6404yuRgVFvRqHUmxx47PhJBXFMR1/B6xyBBnE9Bt+chDJD1qmvlUFJkuXqopSWrSLK8/jALHTm0HujQkUOrQAcWUdGLksN+W2mMLzIqMiOQEBu4nkS8HB2mpT0aaZ25NKSd+Z0awyT1FlhJVZ5MKtMBYpgV9YBuWuUpicwrFYqxsCA3TzxzBj3Qw9H4or+3bj5m9hLFcd+H1NCablOvhpBYVGJc+ExqlkwlBUeSirFucMzb++Ad7H3wDo4evsB8M4Jc1XWEUCHKHlnbHdta62pEax7aF9iSJU3jzvnfu3vLqqqHcOMWU1hZb9xbbTPtvM4tVBHhFvdJtNY+AjwysO03e27/feDvD3neKeDASl9PiApR8gyqj/gNL44cFmDTqyaq0oGumtgDs0g9IuS9F/O6RKXqpHoGhYcmQ+GRkuGLoBNeoyjnr53hC39heA1u0miU+9mrKHrKBUyAt6BfIkCtGvTVJYq8Z+KwfonL1SX2orCcAlRmZnnPr/0W3/gnfx+rlCsG3QP2IOz8bbieR1Q//bXDaFxMsWrajqKwhhvH8WeWVhpvpc10rQ5x5TAKkvqgajgcdiBh1CmFduE+lec0e3lasyp+OrKo8vsy/+l5sCF0KcsH1vVf6L5x+RR/c+EMRkvc3EBictVQJ44Iogu1UOBbibACad24KTUI4yzssqg7HCCIgzbT5cJqBvsiDk4MYPjkABa3md7sBGEpjBJSMGp63a2yma6piGt4vaIgiM3ZFrIcOukhLGE9Dxv4ZEqiJRhpSauOdOiSICsLsnIeShM6cmg8MIGzlxIYZJjhlRw5rAbJQM1hyphnKasEbTWZkaSUmM1C2tonM6pjI21lPnHqkp77iGHiFtn6arYjgchczbbUUEIyNhbk6qFTCYu+hIPKWYG3Pbizj1BB/0JaLzEc1uR+rBp2GsfXauGSfQF7x7+jhy9AT3rsfDPq3H7qO6eAvPdi4FFZV6XZjDrKbrkn4Xum0UaEisqGkEYrYjx/v73S6GuJII6CV9Jm+krglpLEVxrGtjq3O4riiJbTQlEU/gPYZVJMhb8feuymokg1FWPdY/aE2ChUp02f66Ho5bczPOG72kS7svCaLKd0k+USU033jZpLevoleu7LVvRLBLci1Jhx/RJVYjuEsbcucSnsfXBHHzkR5ZCth45z7x8+wqEf/X7Hal90n+NUCj/x5/Cf/uQX+bEd/5DZdoSKXN+e6FrEofQSxmcksnjPni0cOnFpQd3S6xGjWk1HURGXs5reKpsprBHEFUNZskm9/OPokr3B5/c/Jg8roEsCleqZBPQ8Puj5cs/rjDE/5OCM+zvcP3Ebz01dwGiJMZIktc5OqgVWC4R2dYZCg9Tup28UMgOdGurlMgJotmPGwn6CCCwgiAWGhdUspRgOI4gFFiOIt2KCsNgq8q0giMutEBcEcTkVcY0gruH1joIgzl5vIsoh1i+B5yHrVbSSmEA5O+mYT+ZBWhUYbyE5XGAr9TVBOc3TStMeW2nWsZMGCu4bv59T86dpJvO5lTSgnXmkRnXqC5PUI0k90rYPRnRqtQs7vqvLzn/mRFDpXCm0MFZ2BLF3EU3jSoMOn7oEuUI4rF776LGLQxVDd38hOQQ65HCxcXHv/ts5fvBljh3NF9yC/lliYSN1+1w94SAqky7RuzJZYTZNMCXJbJp09otQ8daHdwJ0egCrtP99Fbfh1SeIt8JmeqN4Jaym8AYjiQX80luIb8ByKn2nHgrEkmricpAI9JAg12EJp5aMkvCIAJPXIgbK8S1HFtXS4TUtZzctwmsKzMWuX+L8nLOaFjWJtVrgJnwpmNR9Aov1Syxw9IhTGY8dudD99IIAYjdI/NDl09g/fIT3XTnPZ972syAFCPi9F+HTOac08y3kbJsg9IjrPq3ZiHBD2Pc69925hRdefP0mnI4atT+K1XTJ17nFKiLceB3i2gRzOIRnKE+2l3/gEPSSPwB/CIksqWF+iX6MeWVmkwhPWaajGG0kf3PhDElGrhqKDkEU2qmHveRQZG7lu14OaMaxqz3MXO3hMII4GFQDK0szXTAZGqEOcY0g9mONIK7h9Yxe9VBnBrluAsKg0y8vlYKs5uU9/9SiymGHHFYMomTwfE0YJpT8jLHABdGUPacehjk5BEiNpJFJvnntCG1dop2N0cp8V1vYEzxjtHAJzzkxFIsQQ6XBk7I7VloYy635gwtp997lxkrt94+VvUSxry6vl1SN0BtwKdt9gb37b1/wOgDNZgQlRWXSRRM25iMqk12FsDnv5oa6JDr3TUmi8xZORU/gRivqkMP7dm7pXAteSwSxwGrbTDuPvwkV8VZbTeENShJv1HKq0+cQLFQTV0IUF/ZKzOj9mD1UJ+HUFyEWQWJdwqkxgpbpKoihFFhGD68ZL5eZbbjwmmZhO60EzM/GNHqI4mLYd982jhy6wD15iM2+vVtdg9OD5/rqEvc+tLOPiBx79iz3P3qUjQ/t4uNHv8QX7vlu94EL+JG/hKsv/UYnxMaP1gEQ31lblpy+ljAY6rMYlgutWQ6jBNbAjauIo/REvNE6xLUJ5uLwpGFdrTV0nxDLE7y+Y4l+Y3jN616c7xm/nYPT5zv3p5MEY9zxr7cTYi1ptFOM9tC6p9awIIVCOKVQkxNF9xNAGhDWWaPqKqDZjhFF39abJIjDggn67q/AYrpaE4RRySEsPjHoXSlerj4YVp8cwhpBXMPrD4PkkDBAjIWY+lgnuTQd81092wA5dIE0Fh0MWErLGSW/aykN/YyxkuFd6/fw1MwLhEqSGY+GUUzFrgdsahStzCU6F2qhNrLTE7ZQDMlDu4qE58E6bU/2Jz3j52Nkj5tqMN19pYtpi7ktjpy4yD17tnZ6YB89lh+npzVFa7rFk0uoWgUZ7L2/975tHDnhXvOhA3f2nXeRrDqX91/MFAhfdISB4hx73+NrlSCOWoe4UhXx9YI3HEk01glZ3fsLU06VfwA9UFu4mM20CLEpahGFv3/kc1GyjjKzaJsihY+1GVDq7Lc9BNLkwTVBnnC6FBYNr+nBWCVY1fCaAnsf3MGxZ17qkO6737G3r37t4UvP89zWB7g46b6Q12L4b77ak3Z6bQofMIGiNdxNu+o4euwS99158+rkzba/GMVqCksH1tysigjL20yHYZQ6xDUsDk8a1oXDSSK4FWuH/rGqd+hSQhHpLkmsemVmkgQlDfvGd3Bopvv3lRnlWlhoRZyTQaMlnpRkPZZSBlRDX8oOOdSpdaveefuK8SCgGcUItVA93H97t/bw9UAQXyvqYa+qvxRB7K09XFMP1/BGxqC1VIwFMDmOKXXJYRF0klXy/x3FkAWWUi/M8EtZbinNCH1nJy0pQ6DgRPMM416N2TQi0h6t1HN1hrl9tCCFHbVQi06yczFuiqxHNRQD5NC4sbM3yAvoy2boHSdhcYK42FhZoHesLBxLR49c6JC5e+5bOJ4dOXGRYHN1yd/JsBnpkRMXF7iiDp+8RLMVU6mHGF8Qbijn/X8V5fqNE8TlrgE3QhALLEcQV4KVqIg3mmj6SuMNRRKF6F/tKOoSe6H8t5Cmz/bZTnttpsVt6R/oWE4LYthJPF3pefV8zAUx9FAUju5BZaAknfW0mSecFsqiJw3KGNIeQliE19TDklMTK2XmGjF15b6Qc/Fo4TUAh09eHCm8psDeh+/sTHL2vXtfx4r4M8/8B/7DJ36Rs033uF8/CD90Vz9RLNJOn+AMb3to5wpe9fWNpaymr5SKuOSxh6iIa0E1tx5+TwP7LmGERHe/61muCLbz/dPtFIRgup1wdtaFBZyZPY3WEq0NQqicHIqOYpho4RKctYBigkPXUiqF26cTQ0lKRK72y5QOORSZq0cZL7tvsczchEf0zCRkyqIEsXdFfEGU+QoJ4q1SD2E4QVwt9fC1QA5h7Xu7htcOfumTv8rTXz2EzgzGWNT6CWwYYMermHBpcpjWuqqhqGhESVMpZ5S8lMDPKPsZ1lrKXjcdItGC+VRy2WS5UlhFG+mIoZauTYXppjoXaqHMXHiXGwsFQuTBXWm+yJYvoDWTuI8cwsIgL7hxgtiLYltvGFgxdg4ji73onZMMCxNbCoOPb7bi3FIqaLQiKvUQ7UN1POTeIYFlKu2vRx/W4uJWEcTlWh2NWocINxZW83rBG4ok2oHgmsG6REcQn1lAEHX6bKcusbCcDsNKVMRhUKhOr0Tw8JEkOAXRF5LYZpgeUljUJhqr8aUiNf1q4WQYcK21uGezVnVW075tPeE1vaqi9iUqHS19scBiypgAvvkjsOvfQmZhXQDr8vLDYUTx8ehF3vHuO4ce6/WCUesRl8PNqog3E1azFlRz65BoxfnG+LKP02bhMo3WcsH+YpvREoSrKQSwxWM79/Nk0nyb1KJDCsGpfp6Q6NS6pD0p0KkjiNI5hdyEJ7eWisxNiIr+h8UxCvRayAtyePjkpQ45HFwxvlH1sPf7NqxBstu+MKkPbg05XKmtFFaHHN6IrRTWvrNreO2gIIdpqpHlEDEWIutjmMAnrQekNc/ZSivSEcMBS6mumr7+hrWKQUnDZBggRYmZtEmWuTZijdjNOrSRbjEt/1kspnVIYWcRrdvqp0MMheiMg56UyCQfI+OYsZJzWwyOkTAaQSzQG9K3b8+WvlrEYlw7euxit9WFLxYEfy0gfP5wCWDwcYuRqt62GoNotNw8s7qh3DnnQ2cu9Y3jva+zUnsprD5BHAW3ymZ6s20vXkm8oUhiLwbrEr0hBBEgTZ7t1CUOs5wWauJKIWWdTM8u2K5Q+EKR2DS/J3MbqiOK0A2wWQpKGBppG/DyhFMn6Q8mnI5VAxpz3YRT6IbXNK4VEcvLh9cMorcucdByCnDbGPzWh+D3TsCffQK8nvHpL2Z+hx/b8Q87/RNlvJHHef0TxaXqEUe1mi6HxVTEUcJqbsZmuhjWJpujQRvJXLMydF9B8IbB6oELe89jbXE7J4GiZ3+njrCoGRSiQ+YK0igyt/KtU0Mg3evICBQSka8tjYUBzZmYejmAPKr9jUgOX6+qIazZStfw+kSvckgYoMbGsPUxsnp5gWqYjItFaw2LIBqpDEFJE3hQL7l5zX0Tt/HolZPMRpBp4Qih6bb36SWEhVLYsZAiOgtjQgjI6FhJfSnRiUHJhWPkYuRwVII4DINEERYSoMO9CqO/sjr3vuMsQgb33b11wT5nJYXK/7+9M4uR7Kzu+O/cquqqnq7uao89NmYxdgKDsYnBg4XCEgRSpBAQgkiRAEWEREFZEEryghRFAh545CXKA0EI8UBCSB4SUISAGCkLYAeDPYvHy7gZY2Ob8TY93dPTXV1LV315uEt999Z3q25tXdVV5ye1pvsudW7NV3Xu97/nfOcEaw3DW4ItEF3iMC16GPt7wgJxWmmm0TlHINUU5lQkLi3dTaNxJvq7EKSY9vvauFJOXesUW41zgaA850ceC3dB/YcjXbOhsyax1iegt760xOX9jhfaafgCMVnhNKR8rNMz0eZYpRTrR5OFWIVTBxunn4omLZ+40/9x8a/PfCkSioVSieVijgfuf5Jyn9z4SXDhwniigP0YJdW0XxQRhksz7dXuol+aqU46B6AlHOy6F+GGWQwcOPaJYA4Sx4ZFYsKNB0Trrm3hZotB6AjCfCAIW3V/kmOLQvv4teUiu1frePjCcHfX/11asLfjn7AapJzu7XR6ej128YWojHkoDsOy7Mky7fGeXu1oMgDdVflC0qrzhZOC5FNiezKQvPknxWFXY+jEzd/1BNj1vUt+51zi0NXjME0c2qIQNGqoHF0+csunuLq5S7sdVJw/vg7rqzQryxwE4jCMGjZW/QqlzbK/ztAUIV825HMGEb+3ocHgBen6By1htwVXgwyrp6/8knZrKZZhEY8Siu/fWvGHaOEDtHCbF0yr7Igh+aBgVyAM7XXZEF97CO52X2kC8dGnu1t+3f76QHT93C3i7uix7m5YbFEY/h5eB9AVLYyODR4ShqQ9LAx/h0Sl1h4FauBwBOIiF6uxmUuRmIVk8ZpQGLoYNprY0z45GkHaaV486lZV+4KX3ivxuqUil+v70Xa/DUb37HL12BI712qsB2sTgUwVTgEe33D3TQwrnNrFa1zrEsF/SthvcnLy1G387AfnkVqNpRf3aC951HI1uLXvJY6dO16X7mCzVjYdlX69EYeNIkJ6mimoQDwU2kKuGnyrHGIQ6CqwFR4X29wMt3U2ivV6niUS855Hq+5PngqBMKQBueDX/IHnPG+tVGR3t061HjwdB/a2fIG4ulyEpi/yVo+VomvMNTv9raC7V5drm12mPeSNr785mgCklWx3TQQ2zj+bGjXsJQxdN/l+wlBFoaIMhp1SigHv+vUopbR2YjlqYdGoeFE6qcn7aw1N3heIFOH6tRJ4hjff+Aoe3rzETrOGAM12m1aYWWGl2gORIIROOwqgK33U30b0EC2Zbr9aKoKVch8SisNQDCbFIWTrBx0Str6wW0PY2CItJIwyTgKXPRvXOsbkespk5NC19hCGzySBwxeIIfO6FjFk7kTi0tLd1Opnogqn/trEM7EJmKt4TRrJFNRWo1tIponLQfErnPpDYvdKhELUK3HvoIotHK9FhWsSbTAscQhEFU77cXvQ/uIw+MK3P8NHbvkUO7U6slyi+PI+deDBB5/mnqDB6qzQq7Jpv/WI/VJNJx1FnMQ6RGUwpA35qhdNQEJajfS0gTDyZ2NHAe3j7NfKW38XE/byifRVOy1qdbnI3k6d6n5HEO5t+jOlShAl5ACqV2usH4tnIVQKRbBEYPVqjfKx+AOppCgM+xza3x9bGCZFob/95uhm7xKF4U0+bY3hxplf9owWbjz0VF9R6IrMjyIKk4IQVBQq80EkDhu+qvKOr2NuOk4jWGuYFIZhOmkoDE0OKBoKBaFSKkLQf/rcSy9wteYv2Wk2DRx4UdaFH/2Li0Gw0kb9el+R0AsfpoV+1E61B2KppNAdNRxGHCbbXSSxxdKjCRGWFI3QX8j1IxSkg+5zXYsdMYTuJQaubaNUsIbxCMSQrAJxFqKIG+eemXivxLkTicPiKl5j90e0o4lSuKvrfPHWwHQ/PQ/Je2s0W1vYLTBslkSoObb7vRLblHK5rl6J68XehWvsNhjgC8Wd7cHaYGycfy41TdLVL3FQTp66jdP/8xjNZy/hveaV5NdLHNTiazIfT0mvmCX69UfslWoKk4kiZkkzdRFWqU1DJ6WDI0YoNrsLB1xXXO7atrvbeZizXlruuT22bTm+LYfHWlDJONzWSQ+N/w2wt1nzxWEgCKubNXLh34Gb2btao3KsvyD0Gm28Qlzgnr7/SVZX4g+vNh69RHWrSrmc2P7IJapX9iiX468b3uylHvcRSVFo38BdotAWgi5RaH93eonCUAj2E4ShEFRBqCwCH6j8USdquFzCe+UNtCsr1E4s0yznqVeCdNIytJbBlMBbFtaOldg+qNFqG/IFjwPT9kv97Rs2ax1fZw46qfceEqXcJ9ddhy18ILGG2k4f3a2Tw/NTSCGWRgruVNJHn3ohEoX2tpBekcNB1iJCd9/DLKJxUO689RU9xWDaOdDdvxHiEUJXWmkvcQiDRw/9faMJxKz9EG2mGUUMs/gmLRQXUiS6Kpx2+iD6kUPXtnGTlxy1oGgNwJIn1Fr9i9aE7B74hWsgbIXhShLtZqeW3gZjWFzFa7LwhW9/hs9++Iv87AfnYXObXGUZr5yLhOEbgydk43CEs8gko4jgTjPNsg4xDZ2kDkdOJFY8KiKYwNhib61UjO0P9wlEbSd2g6rFnnX87nZn26qVJgp00kaDyGAkBoPIIOBHBwGavhj0j+kIwqpLIG7vs7ZSBCviWd3ap7JSgkb8oVmu0cZb6o6ceo0WXqM7B7dcLnaJwdh5dfcDsrAceVoFObs/lUsAJhvbuwSgq6l9UgBq5VFlkQjv4/Zaw7YVNayv5zk4JrQLdMRhDijAu994K+deeoG7bvbv8+deep5r1TpL5GgGWRNelD5qpeA349FB/zj/3zBCmLOyKezUfDt9dM2KFAJOUQjEhKG9H/qnlNrRw6wC0UU/0diLXvOorHMsO4U0uqbEusJewhC61xxCeuQQRoseQjaBOAizEEWEwxGKCycSc4W30GqeHfg8KdwVFayZBdaLRTZr/iRpvbTE5p7v/XYa3b0SbcK002v73esTb7/9lTx24dJAvRJd2MVrshAKxQfuPY/3whZLxTzezWXaBekbRXz85893NZSdJbJUNR0lijhsT0Rdh3i4iIlPUCAuDCtWRC+crIT71x2i0RaCBIVkYtuafjEZO00U/HWDq1nFIHS2TVAMevUDpOC+FaUJQYDdyzuUV7sjseALwd2Xr1Je6/aB0Pl+mH1X/oZPKASNFcFIolVGlUXHv3c/3Ika3nyCxo1l6seXHG0rOsLQ5A25oC3Dj5/2J933Pen/22q2o/7R+SADw7X22rXuutXoFOcKI4Sxh3CW39zdrfv+NeGW7EihSyyGDJpOOoo4TCNcw5iFtHWOSVzRwcieo9BMWhGaNGGYJWoIw0UOYbDoYfR6RyiKaDNpoTjXItHVKzFJrvDmWBuMXtgCcVzrEMdJpbTE9l58UlVe6a5smnV94iBsPOxHvOziNYMQrk/cunyFAtAADm5ZoXSDexI4K2Tpj9gv1TT1tc88M1Kaaa8oYhIViBPGxIsdhEIviho6itl4B4HoSwTTou9yolCMXUgGYL1Q6qpenFw7uHqs6BeUsba5UkW9RptcIS4GV1dKeI7eqmtLeXCIwdVCHhyRQakf4BW6xWAvEbj7ctBeaMnt3Xdf3ALAuAvKci3YX66425LYqPhTlG7syKG3XAJLHNbXPQ6WhdYyVI4vY/KwU6/j5fwiMznPgzYc7PuCLrk2O98SwvWHxQxCMCYg8fwm9hAV4Eo+aAupFLr9a4irKmlS/PVaWziIIBy0iX2SUaKAaSSLykSvkVJ0JrbPESlMK0QziDD0948eOYThitTA+KKIG+efG1sbjJP3+O3jsrZbGoS5FomTxktUSLVpt+M9Eg/aO7j+uwviUbcK1mShUihyudZJNR2GcrnIta3O+sR2wXd4vRJWN84944x62RVObbJUOLWJtcUIttWAt94zvQIqWYr49FuPmEba/2dWxplmCioQJ4oh9mCmYj3NdrG3ExRLcATSPIegTFYXBT9KuJpcK+isOhqfoJVXiuQa2QShKzKYliLqigpGQtAVMaw1nCIwFIAra8vOSOC1F7ci8ZcWBTz13pTePBb6uVeUbvx79DVn5LBVEOonPNp5aOd9gfim1/qT/vO/8oXJTr1OaycosgVAm5JDKHaEX7wAV7vRppiL+4Uo5T6IGFbr8TT7ND+bpT90Ugj2E3+h4BtU+A27pCZZKKYXdtaVSwDGXveJ51OFon2+q0p1r1ZGg4pC/5j+whAGE4cwuEAMGTWKePKtt/lF0sYoFCEuFvstZcqKikSLcB2iZKh6mgXx1iAhFvuxJEItvf7NWFlZK9JqAohz8jgNTp66jY3TT0X9EwEe4imnUHz8572dHMCFJ0YvetOrsmkvsqSapp47QhRxmHYXKhAnS7tl4undQTpoGh7gBU9KwjWDNmHK6N7VzhpDL1FMJpfctr0P+CIw2rblb7MLyrgKyUB2QVjd3O0qOAMMLATTRGB7v0a5cmxoAaifaUUZnq3L18gdX6d943FqJ5apX1egvSS0CtAuCMb4DefFwM6L+9z/YnxtsOBPPOMPu9pd/d+liTUT6wjIpZzDX2xVAcgn9u1X030sWKn3fbB98IObT/c9Puvr2vQSenuOe0DHVrb6EtWrNU5f7oxFsthY1/Hb+5x++Rf+sSvpx4aCMPlgMcS1ttAWgllFYVIQhgwqDGF4cTjOtYi2UIy2jTmyyBhKqcy1SGw2zlJcegvNxtmJvL4rithqXw3E4Xam12iaNkLnC9joUSHVxXWlIperNWZlKIepcGpjF7KRWo38doGD1QIPPegWilnWI97569Nbs5iWatrrKU+vYjWhQMzSq80mrd3FMKnByuBI21DbjN/oHRmWMWpVu8hMMTZRqVV9cVexbvTVl6vR72vhTb3ZjoSgRyAGg5t5datKDnxBaEUJXWsHq5t7rLiEo1P41aHgSAOtO0Td/r4zJbS9X8OkpJL2EoEqABVlcnz2w1/EEyG/eoxm44Diy/uEiaHtJY9W8J1tJxXfEKSvAOrOaCjmshXtS1LrIyJDKhmFWETigd2o9LTfNNEDwF6sJYVeIjMkvE+ERPcL6Fp3niTtwWKStGIzSQHoEoTDiMGQYUVh7LUDgTjOtYgn3xqf06YVWxtntHFQZkNZzChhZDFsg+HCr3zqi0UzYNTwsFhdKXLNaoUxKYatcJqksz5xC2+5RPHyPs1Gmwd/dJF7fut1QLYoYhYuXLjEHa8bMl300UtDp5pC74I1aVFEGD7NNImuQzw8pA2FavxGGz7JzXKDr+1VYzf58IZe2+2IuYrdXqJhqAZP1yMhCNHEoHplDw8/7dxeP1jd3GO1XOpaO5i2bnCQ6KArKriytuyMCJYrx/RzqSgzSnnJg2KB7f0mxc0axhgw0C51ppTtolu4mZTtvZDlflPV7FXhh6G2V+1/kIPySpG1QsrC6B4kBZvt511UVjJELq17gvM1XCLPscTARdo69DQGTRPdOPds5gqk4xCEXfYnIBBdJEVjZD9FPHadPwExqSJxCELh6IokireGIVs08MC0kJS+iYtO2D+xdWUbD8iXCph6OyYOZ72q6aSiiM59KWmmaesQVSAeLrJdpfAfp2PbQmmUdcpkTxtcD9l3e5y7k7J927GtkXJs3WHUS3ncv3PFHQV0FYrRz6CiHB1yeY+ti7+iHWY9WdMd2xsMF9s7unjL3SKrDuDY3kUp/gA/lzUQG5yXVcL2qs+4l3qX6E8+P9xoH7u+DGRrQTHNJvfTrmSaJh6TZBWTgzB3IrHROEOpeDeNxplDsRcKxkbtfxGvgsEEKacVDlrbfuppK1uEsdGejXWBs0Csf6IBr1jAW/Lwmu6eOS7GsR5xUowzijhMuwvQyflhcvLUbdz74D9O+zIURVGGRu8NPp/98Be7tm2cTpugt9i92lvGtbaHy0JrZ1yelDuWvUp8fnVlqGsBKJ+oDHbCTvz/ZfeaO6umfMNaX/EXCrlpCLqNR4avPzFWioNHrfsxdyKxH63mWQqFu4fqldjrNdM4aF3F8yq02vGnNC1aCI41PpIjYyAyYq1QYnOAUP8wjFqJcxg6aae7eNvX8CrLVLf3ufDEC5mF4jTXIw7KsFFESE8z1UI1iqIoijI+Zu0+6RKtNukCtpvdK1uZjlu96bruc59xP5gvO451HmctU4iKr5CtCKAripY1AjcMSWF48m73w/jD4sJj/SvxD4OYAQulzDIi8jIw/lhzf24ALk/BrtpeHLuLbPsNxpjVKdkeC1P0TaDfFbU937bVN43AgvqmRbW9iO95kW2P7J/mKpJojDkxDbsi8qAx5h61Pf+2F/E9z4LtadgdJ9PyTaDfFbU937an/Z6nYXecLKJvWlTbi/ieF932qK/hri6gKIqiKIqiKIqiLCQqEhVFURRFURRFUZQIFYnj4Stqe2FsL+J7XmTb84B+V9T2PNtexPc8Lyzq2Ol3RW0fCdtzVbhGURRFURRFURRFGQ2NJCqKoiiKoiiKoigRKhIVRVEURVEURVGUCBWJfRCR94nIEyJyUUT+xrH/D0Tk4eDnfhF5s7XvaRE5LyJnBy1Fm8Hue0TkavDaZ0Xkc1nPHYPtz1h2HxGRlogcH/U9B+d/TUReEpFHUvaLiPx9cG0Pi8iprNc9ot2JjHNG25Mc6362JzLWIvIaEflvEXlcRB4Vkb9yHDORsZ4XpuWbMtqeO/80Ld+U0fbc+adp+abgfPVPIzIt/6S+yblffZPOnYZ738YY/Un5AXLAk8CvAUvAOeCOxDHvAK4Lfv9d4AFr39PADROy+x7gO8OcO6rtxPEfBP5r1Pdsnf9u4BTwSMr+9wPfAwT4zfD/ewzvu5/dsY/zALYnMtZZbE9qrIGbgVPB76vAhuMzPpGxnoefafmmAWzPnX+alm/KaHvu/NO0fFNwvvqnEX6m5Z/UN6lvOoyxzmJ7gmN9qL5JI4m9eRtw0RjzC2NMA/gX4EP2AcaY+40xW8GfPwFefRh2J3TuMOd/DPjmAK/fE2PMD4ErPQ75EPB14/MTYF1Ebh7iugeyO6FxzmS7B6OO9aC2xzbWxpjnjTGng9+vAY8Dr0ocNpGxnhOm5Zsy2Z7QucOcP87P7FR8Uxbb8+ifpuWbAtvqn0ZD507qm8L9c+ebhrB9ZOdOKhJ78yrgWevv5+geDJs/wVfvIQa4V0QeEpE/nYDdt4vIORH5nojcOeQ1D2sbETkGvA/4N2vzsO951Osb9X0PwrjGeRAmMdaZmeRYi8itwN3AA4ldszDWs8q0fNMgthfNP83K53Wh/NOkx1n901Do3El9k4uF8k1w9OdO+WEvbkEQxzbjPFDkvfhfgHdZm99pjLkkIjcCPxCRC8HTh3HYPQ281hizKyLvB74NvH6Qax7BdsgHgfuMMfbTlGHf86jXN+r7zmZ8vOOclUmN9SBMZKxFpIzvPP/aGLOT3O045dDGesaZlm/KansR/dPUP68L6p8mNs7qn4ZG5069z1ff5DPvvgmO+NxJI4m9eQ54jfX3q4FLyYNE5C7gq8CHjDGb4XZjzKXg35eAb+GHesdi1xizY4zZDX7/LlAQkRuyXvMoti0+SiKEPsJ7HvX6Rn3ffZnAOGdigmM9CGMfaxEp4Du5bxhj/t1xyNTG+ggwLd+UyfaC+qepfl4X2D9NZJzVP42Ezp3UN0UssG+Coz53MkMuGF2EH/xI6y+A2+gs8rwzccwtwEXgHYntK8Cq9fv9wPvGaPcVgAS/vw14Bv8pQd9zR7UdHFfBz8deGcd7Trz2raQvRP4A8QW5Px3kukewO/ZxHsD2RMY6i+1JjXVw/V8H/q7HMRMb66P+k9FHTOQzm9H2XPqnPt/TiX5e+9ieS//Uy+6Ex1n90wg/GX2Ezp3G+5nt9R1V36Rzp6HGW9NNe2CMORCRTwP/iV8V6GvGmEdF5M+D/V8GPgdcD3xJRAAOjDH3ADcB3wq25YF/NsZ8f4x2fx/4CxE5APaBjxr/U+A8d8zvGeD3gHuNMXvW6UO/5xAR+SZ+RaobROQ54PNAwbL9XfzKTReBKvDHva57jHbHPs4D2J7IWGe0DZMZ63cCHwfOi8jZYNvf4t9QJjrW88C0fNMAtufOP03LN2W0PXf+aYq+CdQ/jYTOndQ3WbbnzjdltA1zMHcKFbaiKIqiKIqiKIqi6JpERVEURVEURVEUpYOKREVRFEVRFEVRFCVCRaKiKIqiKIqiKIoSoSJRURRFURRFURRFiVCRqCiKoiiKoiiKokSoSFSOJCLyaRG5KCImaI6qKIoyE6h/UhRlFhGRb4jIEyLyiIh8LWjMrihOVCQqR5X7gN8GfjntC1EURUmg/klRlFnkG8DtwG8Ay8Anp3s5yiyTn/YFKEovRORW4PvAA8DdwAbwh8aYM8H+6V2coigLjfonRVFmkR6+6bvWMT8FXj2VC1SOBBpJVI4CbwC+Yoy5C9gBPjXl61EURQlR/6QoyiyS6puCNNOP4wtJRXGiIlE5CjxrjLkv+P2fgHdN82IURVEs1D8pijKL9PJNXwJ+aIz50eFflnJU0HRT5Shg+vytKIoyLdQ/KYoyizh9k4h8HjgB/NmhX5FypNBIonIUuEVE3h78/jHgx9O8GEVRFAv1T4qizCJdvklEPgn8DvAxY0x7epemHAVUJCpHgceBT4jIw8Bx4B9E5C9F5Dn8RdcPi8hXp3qFiqIsKuqfFEWZRbp8E/Bl4Cbg/0TkrIh8bpoXqMw2YoxmxiizS1Ch6zvGmDdN+1oURVFs1D8pijKLqG9SxoFGEhVFURRFURRFUZQIjSQqiqIoiqIoiqIoERpJVBRFURRFURRFUSJUJCqKoiiKoiiKoigRKhIVRVEURVEURVGUCBWJiqIoiqIoiqIoSoSKREVRFEVRFEVRFCXi/wESAfYqmP4qnQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Plot contours and optimiser progress\n", + "def fig3():\n", + " fig = plt.figure(figsize=(15, 4))\n", + " ax1 = fig.add_subplot(1, 3, 1)\n", + " ax1.contourf(X1, Y1, Z1, levels=levels1, cmap='viridis_r', alpha=0.7)\n", + " ax1.set_xlim(*xlim); ax1.set_ylim(*ylim)\n", + " ax1.set_xlabel('p1'); ax1.set_ylabel('p2')\n", + " ax2 = fig.add_subplot(1, 3, 2)\n", + " ax2.contourf(X2, Y2, Z2, levels=levels2, cmap='viridis_r', alpha=0.7)\n", + " ax2.set_xlim(*xlim); ax2.set_ylim(*zlim)\n", + " ax2.set_xlabel('p1'); ax2.set_ylabel('p3')\n", + " ax3 = fig.add_subplot(1, 3, 3)\n", + " ax3.contourf(X3, Y3, Z3, levels=levels3, cmap='viridis_r', alpha=0.7)\n", + " ax3.set_xlim(*ylim); ax3.set_ylim(*zlim)\n", + " ax3.set_xlabel('p2'); ax3.set_ylabel('p3')\n", + " return fig, ax1, ax2, ax3\n", + "\n", + "def p3(ax1, ax2, ax3, x, marker='x', markersize=10, color=None):\n", + " ax1.plot(x[0], x[1], marker, markersize=markersize, color=color)\n", + " ax2.plot(x[0], x[2], marker, markersize=markersize, color=color)\n", + " ax3.plot(x[1], x[2], marker, markersize=markersize, color=color)\n", + "\n", + "fig, ax1, ax2, ax3 = fig3()\n", + "technicolor_dreamline(ax1, walk[:, 0], walk[:, 1], lw=3)\n", + "technicolor_dreamline(ax2, walk[:, 0], walk[:, 2], lw=3)\n", + "technicolor_dreamline(ax3, walk[:, 1], walk[:, 2], lw=3)\n", + "p3(ax1, ax2, ax3, xtrue)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Testing performance" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2D Parabola\n", + "\n", + "If this doesn't work, something is broken." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.9 seconds\n" + ] + } + ], + "source": [ + "t = pints.Timer()\n", + "test = run_replicates(np.geomspace(1, 50, 20), 20, cp.two_dim_parabola, parallel)\n", + "print(t.format())" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df = pd.melt(test, id_vars=['iterations', 'replicate'])\n", + "(ggplot(df, aes(x='iterations', y='value'))\n", + " + geom_jitter(width=0)\n", + " + geom_smooth(span=0.25, se=False)\n", + " + facet_wrap('variable', scales='free')\n", + " + theme(subplots_adjust={'wspace': 0.25})\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Both lines move in the right direction, and the error quickly goes to zero." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Rosenbrock function" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.03 seconds\n" + ] + } + ], + "source": [ + "t = pints.Timer()\n", + "test = run_replicates(np.geomspace(1, 150, 30), 10, cp.rosenbrock, parallel)\n", + "print(t.format())" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df = pd.melt(test, id_vars=['iterations', 'replicate'])\n", + "(ggplot(df, aes(x='iterations', y='value'))\n", + " + geom_jitter(width=0)\n", + " + geom_smooth(span=0.3, se=False)\n", + " + facet_wrap('variable', scales='free')\n", + " + theme(subplots_adjust={'wspace': 0.25})\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Bounded, untransformed logistic model" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2.08 seconds\n" + ] + } + ], + "source": [ + "t = pints.Timer()\n", + "test = run_replicates(np.geomspace(1, 300, 30), 10, cp.bounded_untransformed_logistic, parallel)\n", + "print(t.format())" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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NTUVaWhqMjIzUHptdbGyswnNCIBAojLvJztvbG/Pnz+detX7y5AkuXLiAtWvXKozl0RSGYZRW1dakrGtrM4YsVBfflOa60Lskpm7dunj58qXKMrFYrPSQJIQUHZFIBADo1q0brK2tAQD9+/fHihUr0L9/fy5hyZKSksIlH4aGhkrlycnJasuzfjYyMoKhoaFSwpL92OyOHz+OHTt2cJ/Hjh2L8ePHq7yfVatWKcwVw7Is/v33X7Rt2xbHjh1D79691VdGMTEwMND4NXPKbT4uTaK6+Ka01oXeJTE9e/aEj4+PyrKUlBQkJiaWmH90hJQ2JiYmsLa2VjlepFKlSjhx4gTkcjnXHRMcHAw3NzcAgIODA0JCQrj9k5KSEBsbCwcHB+744OBg1KxZkzvW2toaYrEY5cuXBwB8+PABFStW5Mqzjs3O3d0dbdq04T4LBALEx8cr7ceyLL58+aLyPmUyGYYMGYKQkBCNfgMWi8VITk7W2PVy4vP5MDMzQ2JiotYn/KO6+EaX6sLS0rJA59a7JMbV1VVtmUwmw8aNG7FgwQINRkSIfunUqRPOnz+Pxo0bQyQS4fjx4/jxxx9Rp04dCIVCnDp1Cj169IC/vz8iIyPRrFkzAEDbtm0xc+ZMBAQEoEaNGjhw4ACqV6/OjWNr3749Tp48icaNG8PQ0BCHDx9Ghw4dAGS20rRo0QIHDhzATz/9hKioKFy9ehWzZs1Sis/a2pprJQIyu5fUPXizHsyqJCcnIyoqSqNLmbAsq/U/mEDms1TbcVBdfFOa60Lvkpg9e/bkWr53717MmzePBuYRUkz69++PxMRETJ48GXw+H40bN8aYMWMgEAiwYMECbN68GQcPHoSdnR3mzZsHU1NTAEDFihUxdepUbN68GfHx8XBxccHMmTO583bq1AkxMTGYPn06ZDIZWrduDQ8PD658/Pjx2Lx5M0aMGAFjY2N4enqiXr16hboXJycnPHnyRGWZgYFBrm9DEkIKT++SmIcPH+ZanpCQgOjoaNjb22soIkL0C5/Px7hx4zBu3DilssqVKyvM/ZJTy5Yt0bJlS5VlWQPz1Q3ONzExwZw5c74v6FziUZfE/P777zQLOCHFTO+aG8LDw/Pcx9DQUAOREEJ0XePGjVVu79mzJ4YOHarhaAjRP3rXEqNu1Vkg85tct27dYGFhobmACCE6S9Ur2gCoJZcQDdG7lpjcXjNjWRbr16/XXDCEEJ2mbozdixcvNBwJIfpJ75KYvAby0YBeQkh+/fvvvyq3R0VFaTgSQvST3v3Fzm2gnYGBAfcmBCGE5EYul4NlWZVl6mb4JYQULb1LYtRNTgUAHTt21FwghJBSq3PnztoOgRC9oHdJTG5jYipUqKDBSAghuozH46kcwMswDCZPnqyFiAjRP3qXxOTWzKtuvgdCCFFl3759StvoBQFCNEfvkhh1E2UBuY+XIYSQnCZNmqRy+x9//KHhSAjRT3qXxFSvXl1tl5JYLNZwNIQQXRYUFKRyu1wu1+qCe4ToC71LYszMzNROS57bRHiEEJKdujeTsrx580ZDkRCiv/QuiQHUr2T96dMnDUdCCNFVDMOAz+erLc/tJQJCSNHQyySmXbt2YBhGafvr16+RkZGhhYgIIbrI0tJS5XZDQ0PUqFFDw9EQon/0MolhWVZlUzDLskhPT9dCRIQQXZSYmKhye0ZGBtLS0jQcDSH6Ry+TGJFIhAYNGihsYxgGNWvWpBl7CSH5JhKJVG6Xy+U0JoYQDSgRq1hv3rwZDx8+RGpqKkxNTdGpUyd4eHgAAEJDQ7Fp0yaEhITA3t4eEydORK1atQp1vejoaPz3338K21iWhbu7e6HOSwjRLx4eHti1a5fKMiMjIw1HQ4j+KREtMT179oS3tzcOHz6MlStX4saNG7h9+zakUimWLVuGZs2awcfHB+7u7li+fDmSkpIKdT0PDw+VTb0rV66kN5QIIfn2/v17ldt5PB6qV6+u4WgI0T8lIompVKmSQrMswzAIDw/H8+fPkZ6ejj59+kAoFMLV1RV2dnbw9/f/7mvJZDK8fPlSbVlwcPB3n5sQol/8/PxUbjcxMcn1zSVCSNEoEUkMAPz111/o378/Ro8ejbS0NLi6uiIsLAwODg7g8b6F6ejoiLCwsO++Do/Hg0Cgvhft0KFD331uQggBMr+IFbbFmBCStxIxJgYAhg8fjmHDhiEoKAj379+HWCxGamqq0iy6YrEYKSkpCttiY2MRGxvLfebxeLCxsVF7rZEjR2LHjh0qy/7991+NfoPKa64JTci6vrbjoLr4huqi5MttsruEhAS0adMGfn5+MDMz02BUhOiXEpPEAJkPbmdnZzx69Ag+Pj6wtrZWSlhSUlKUBswdP35cISkZMWIEpkyZovY6W7Zswfnz5xEeHq5UZmtrq3buh+JSUibFKgkPW6qLb6guSjaGYSASidROyxAWFoYNGzZg4cKFGo6MEP1RopKYLHK5HBEREWjYsCFOnDgBuVzOdSkFBwfDzc1NYX93d3e0adOG+8zj8RAfH6/2/CzLqi3/8ccfcz22qInFYq2vscLn82FmZobExETIZDKtxUF18Y2u1YWmE/+SwsDAINe5pdSNvyOEFA2tJzHJycn4999/0aRJExgaGuL169e4ePEiBgwYgDp16kAoFOLUqVPo0aMH/P39ERkZiWbNmimcw9raGtbW1tzn2NjYXB+6f//9N1JTU1WWbd68GaNHj1YYh1OcWJbV6h/L7GQymVZjobr4hupCN+Q17qVixYoaioQQ/aT1JIZhGFy9ehXbt2+HXC6HlZUVevfujW7duoFhGCxYsACbN2/GwYMHYWdnh3nz5hV6QrqTJ0+qLQsPD0dUVBTKli1bqGsQQko3dTN/Zzd69GgNRUOIftJ6EmNsbIxly5apLa9cuTLWrFlTpNdUtW5SdjkHExNCSE5Zs3znnDgzi4WFBapVq6bhqAjRLyXmFWtN6tevn9ruIgsLCwQEBGg4IkKILsqtpWX+/Pka65YmRF/p5W/YwIEDMX/+fJXzxSQkJKB///549OiRFiIjhOiS3NZHat++vQYjIUQ/6WUSwzAMpk+fjidPniiVZfVz7927V/OBEUJ0yqdPn1Ru5/F4sLKy0nA0hOgfvUxisgwdOlTldrlcjq9fv2o4GkKIrjE2Nla5nVaxJkQz9DaJYVkWz58/V1nG5/PRtm1bzQZECNE5z549U1tWUiYrJKQ009skhmEYWFhYqCwbOHAghg8frtmACCE6hWVZBAUFqSyrUaMGatSooeGICNE/epvEAMDy5ctVbq9fv36er2ETQvQbwzBql2RYsGBBrgvNEkKKhl4nMWXKlFG5/bffftNwJIQQXTRmzBiV22fMmKHhSAjRT3qdxAQGBqrcnnPRSUIIUeX9+/cqt0dHR+P06dMajoYQ/aO3Scy1a9fw66+/qiyztbXVbDCEEJ306tUrtWXXrl3TYCSE6Ce97LR99OgR+vXrp7bc29tbg9EQQnRVTEyM2rK0tDQNRkKIftLLlph58+blWl6hQgUNRUII0WW5rbPm4uKiwUgI0U96mcTExcXlWv727VsNRUII0WUdO3ZUW2ZiYqLBSAjRT3qZxJQtWzbX8rVr12ooEkKILhOJRGrLnJycNBgJIfpJL5OYvOZvyK2fmxBCsoSEhKjcbmxsjBYtWmg2GEL0kF4mMXK5XG0Zj8dDo0aNNBgNIURXOTk5gc/nK22XyWRqF4ckhBQdvUxi3NzcwOOpvvVKlSqpncmXEEKy++mnn2Bubq60XS6XY8+ePVqIiBD9opdJzPjx41WuYD19+nTcvn0blpaWWoiKEKJrLCwsMHr0aKUuaqlUivj4eC1FRYj+0MskhsfjYd26dYiIiFCYHvynn37KdaAeIYTk1KJFC6Uuaj6fT93ShGiAXiYxWezt7eHo6Mh9Tk1N1WI0hBBd1Lp1ayxcuFBhW69evVS29hJCipZeJzEAYGhoyP18//59SKVSLUZDCNFFixcvhrW1NQCgS5cu2Lp1q9pxd4SQoqP3v2XZ1z4ZOXIkevTogaSkJC1GRAjRJampqejZsydiY2MBAH5+fnj27JmWoyJEP+h1EhMeHo4NGzYobAsICFBqGiaEEHUWLVoEX19f7nNaWhoGDBiA5ORkLUZFiH7Q2yRGJpOhffv2SgPyJBIJ7t69q6WoCCG65tKlS8jIyFDYFhcXhzdv3mgpIkL0h16uYg0AP//8M16/fq2yzMLCQrPBEEJKLLFYnOv4FiMjI5Xbg4OD0aZNm+IKSyWBQABTU1ONXjM7hmEAZNYZy7JaiwOgusiuNNeFXiYxLMviyJEjast/+eUXDUZDCCnJcusWkslkKmfsBYC5c+eiT58+Gh3ga2pqiq9fv2rsejnx+XwYGBggOTkZMplMa3EAVBfZ6VJdFHSaE73sTkpLS4NEIlFZNmDAgFxXpiWEkCwXL15Uu+p9fHw8N9iXEFI89DKJMTIygp2dncqyFStWaDgaQoiuCgsLg4GBgcoyHo+nckkCQkjR0cskBshcekCVf//9V8OREEJ0VeXKldXOLTVv3jyaAZyQYqa3SUxcXByEQqHS9iVLlqjtaiKEkOzc3NzQtGlTlWU1a9bUcDSE6B+9TWJMTU1VjpIODAzE6tWrtRARIUTX8Hg8dOjQQekLEY/Hw6VLl7QUFSH6Q2+TmJYtW6psBpbL5Th//rwWIiKE6CKhUKjyDaScK1sTQoqe3iYxc+bM0XYIhJBSoGvXrkqvWbMsiy5dumgpIkL0h14mMenp6Xjx4oXackNDQ62/108I0Q0ODg64cuWKQssLn8/HzJkzER8fr8XICCn99DKJEQqFKgf1Znn16hV27NihwYgIIbosJiZGoXtaKpUiIiICGzdu1GJUhJR+epnE8Hg8TJkyRe1Mm1KpFDdu3NBwVIQQXSSVSjF9+nSl7RKJBEFBQVqIiBD9oZdJDADMnz8fK1asULtO0sePHzUbECFEJ02ePBnv379XWVapUiUNR0OIftHbJIbH42HWrFmoUaOGynJLS0sNR0QI0TXh4eE4evSo2vKRI0dqMBpC9I/eJjEA8Pr1a9y7d09lWcOGDTUcDSFE1+Q2cNfIyEirKwcTog/0OokJCQnhlgjPTiAQYNq0aVqIiBCiSypXrqx27aS0tDQ0btwY165d03BUhOgPvU5iQkNDlWbt5fF4aNWqFXUnEULyJBaL1c45xbIs0tLSMHLkSCQkJGg4MkL0g94mMU+fPsXkyZOVtpuYmOCPP/7QQkSEEF30888/Y9KkSWrLU1JSEBgYqMGICNEfepvEnDt3TuX2ypUro3LlypoNhhCi02bMmKF2ygYAMDc312A0hOgPvU1i5HK5yll5nz17hqSkJC1ERAjRVVeuXFE5vo5hGHTs2BHOzs5aiIqQ0q9UrlBmYGAAkUiU6z59+/bF+vXrVZZ9/PgRPj4+ePv2LWrUqIE5c+agTJkyxRBp5iBibb/BkPXwFYvFKlf21hSqi2+oLnSLusUenZ2dsXv3bpUJDiGk8EplEpORkYGMjIxc96lVq5basr59++LLly+QSCS4fv06Tp8+jevXrxfLHxVTU1N8/fq1yM9bEHw+HwYGBkhOTtbqmlFUF9/oWl3k9aWhtOvatSuEQqHC0gMMw2DZsmUwNDTUYmSElG56253EMAxsbGxUliUkJEAikQDInDo8MjISBw8e1GR4hBAdUrZsWYUXAszMzLB161a4urpqMSpCSj+9TWIAYPv27UrbGIZR+a0zOjpaEyERQnRUzZo1uZ/37t0Ld3d3LUZDiH7Q6ySmWrVqSttYloVcLlfYJpPJULt2bU2FRQjRQdm71NLS0rQYCSH6Q6+TmLCwMPB4ylVgZGQEHo8HQ0ND8Hg89OnTB71799Z8gIQQnZE9iclrTB4hpGiUyoG9+eXs7Kx2xt5Ro0YhLCwMjo6OaN26Nb1dQAhR6evXr5g2bRrOnj3LbUtNTdViRIToD71OYpycnDBx4kR4eXlx2+RyOaysrODq6kqJCyEkVyzLwtPTE3fv3lUYSzdt2jTw+Xz06dNHi9ERUvrpdXdSSkoKDh8+rLT98OHD2L9/vxYiIoToktDQUNy+fVvpZYCMjAyMHz8e169f105ghOgJvU1iMjIy0KBBA8TFxSmVyeVyWnmWEJKn3AbwsixLX4YIKWZ6m8QMHDgw10XZxGKxBqMhhOgiR0fHXMuvX79Og3wJKUZ6mcTIZDLcuHFDbTnDMBg2bJgGIyKE6KK8BvB+/fqVupQIKUZ6m8SoWwtGIBDg0KFD+PHHHzUcFSFE13z48CHXcqFQiM+fP2soGkL0j14mMQYGBmjUqJHKsilTpqBdu3YajogQoovKlSuXa7lEIkHdunU1FA0h+kcvkxgAOHDggMpFIA0MDLQQDSFEF5UpUwYLFy5UWcYwDFasWAEXFxcNR0WI/tDbJMbW1hbPnj1DQEAAHj58CHNzcwA0SRUhpGCmT58OW1tbpe1GRkYYMWKE5gMiRI/obRIDZM7OW7FiRTg4OMDIyAgAJTGEkIKRyWSIiYlR2p6SkpLrG5CEkMLT6yQmu6xupPj4eC1HQgjRJXw+H9bW1irLRo4ciZSUFA1HRIj+oCQGwKlTp7i3DI4fP44FCxaofXuJEEJy2rZtm8rtoaGhuU7nQAgpHL1PYl6/fo0JEyYoJC07d+6kmTYJIfnWt29flW8h8fl8JCYmaiEiQvSD3icxd+/ehUCguA6mTCajZQcIIQXSo0cPpW0SiUTtdA6EkMLT+yTG0NAQcrlcYRvDMLTsACGkQFS9oSQUCmFiYqKFaAjRD3qfxHTu3Bnm5uZgGIbbRssOEEIK6syZM0rb5HI5/P39tRANIfpB75MYMzMzDB48mOtSEgqF8PHxoWUHCCH5dvv2bbUDeLN/QSKEFC1B3ruUXizLYuzYsTh//jykUimAzD5sU1NTLUdGCNEVISEhaNu2LWQymVKZWCxGq1attBAVIfpBr1tinj59itOnT3MJTJbffvtNSxERQnTNhQsXVCYwAHDw4EG1c8gQQgpPr5OYDRs2qNweGRmp4UgIIbpKIpGoLXN0dNRgJIToH71OYo4fP65yu0wmw8CBA9GkSRMMGTIEISEhmg2MEKIzOnbsqHK7vb09ypQpo+FoCNEvepvEsCyL9PR0lWVhYWHw8/PD+/fvcfXqVXTq1AlRUVEajpAQogtcXFywZ88epQG8f//9Nw3qJaSY6W0SwzAMmjdvDh5PdRVkzR0jlUqRnJyMAwcO4NWrV4iOjtZkmISUWomJifD09MTMmTO5baGhoZg5cyb69euHKVOm4OXLlwrH3LlzB2PHjkX//v2xaNEixMXFKZTv378fnp6eGDRoELy8vBTGuyUlJWHVqlUYMGAARowYgQsXLhTZvYwYMQJhYWEYPHgwt03ds4UQUnT0+rfs4MGDsLGxyXM/uVyOP/74A23atEGtWrWwcOFCWluJkELavXs3KleuzH2WSqVYtmwZmjVrBh8fH7i7u2P58uVISkoCAHz8+BEbN27E5MmTsX//fpQrVw5r1qzhjvf19cXNmzfx559/Ytu2bXj//j2OHDnClXt7e0Mmk2HPnj1YuHAhDhw4gGfPnhXJvURGRqJTp044ePAgt619+/ZYuXJlkZyfEKKaXicxZmZmqFGjRp77SaVShbcPduzYgb///rs4QyOkVHv+/DkiIyPh6uqqsC09PR19+vSBUCiEq6sr7OzsuMni/Pz80LBhQ9SvXx8ikQienp54/fo1IiIiAABXrlxB7969YWdnB3Nzc3h4eODKlSsAgLS0NNy5cwdDhgyBsbExnJyc0K5dO668sAYNGoTXr18rbf/zzz9x586dIrkGIUSZXicxY8eOzfUBk9WfnbNfWyaT4fLly8UaGyGllUQigbe3NyZMmKDwuxUWFgYHBweFbhhHR0eEhYUByOxqyv62j6mpKWxsbBAaGsodn71lx9HREbGxsUhOTsanT58AAJUqVeLKq1Spwh1bGHK5HLdu3VLbOnvq1KlCX4MQopreTnbHsixOnjypNEdMzn0YhlF6ODEMAyMjo+IOkZBS6ejRo2jQoAEqV66Md+/ecdtTU1OV1iwTi8VISUkBkNmaYmxsrFSemprKlWc/Puvn1NRUpKWlKf3OZj82u9jYWMTGxnKfBQJBrm8Z8Xg8CAQCtXPFmJiYgM/nqz2+KDEMo7FrqZJ1bW3GkIXq4pvSXBd6m8QA+Rt4p+rbFcMwGD58eHGEREipFh4ejuvXr6uco8nIyIhLWLKkpKRwyYehoaFSeXJystryrJ+NjIxgaGiolLBkPza748ePY8eOHdznsWPHYvz48bneV5s2beDr66uybPbs2bC0tMz1+KJkYGCgsWupY2Zmpu0QAFBdZFda60JvkxiGYTBkyBDs2rVLaRXr3FhbW2P9+vVo0aJFMUZHSOn033//IS4uDmPGjAGQOd4sIyMDnp6emDp1KkJDQyGXy7kvGMHBwXBzcwMAODg4KMzZlJSUhNjYWDg4OADI7CoKDg5GzZo1uWOtra0hFotRvnx5AMCHDx9QsWJFrjzr2Ozc3d3Rpk0b7rNAIEB8fLzae+Lz+ejbty+uXr2q1BrTunVriMXiXI8vSmKxGMnJyRq5lip8Ph9mZmZITExU2zKlKVQX3+hSXRQ04dfbJAYANm7ciBcvXuDu3bv52p/P52Pjxo1qJ7cihOSuZcuWqFevHvf5zp078PPzw4IFC2BhYQGhUIhTp06hR48e8Pf3R2RkJJo1awYAaNu2LWbOnImAgADUqFEDBw4cQPXq1VG2bFkAmW8DnTx5Eo0bN4ahoSEOHz6MDh06AMhspWnRogUOHDiAn376CVFRUbh69SpmzZqlFKO1tbXCUgGxsbF5Pni7dOkCAwMDpdYeU1NTpKSkQCQSfV+FFRDLslr/gwlkjhvUdhxUF9+U5rrQ6yTG0NAQ+/btQ9OmTfH582eFriMejwe5XA4+n8/9r6urK9q3b6/FiAnRbSKRSOEPuomJCQQCAZc0LFiwAJs3b8bBgwdhZ2eHefPmcQuyVqxYEVOnTsXmzZsRHx8PFxcXhTlmOnXqhJiYGEyfPh0ymQytW7eGh4cHVz5+/Hhs3rwZI0aMgLGxMTw9PRUSqsKoVKkSjh8/jgEDBuDr16/cdl9fX4waNQr79++nie8IKQYMWwonPMk+KE8dPp8PS0tLxMfHIzAwEFOmTMHDhw8BAFWrVkWvXr0QFxeHffv2QS6Xw9jYGPv37y/yFWlNTU0VHnrakL0utJmtU118o2t1UZoXOczreZK9npo0aYK3b98q7ePv7w9nZ+fiCpGj7X83JeX3B6C6yE6X6qKgzxK9fsU6i5OTEy5evIhy5coBAFq1aoVq1apxCQyQ+YaDp6cnPn78qM1QCSElWGJiosrtX7580WwghOgJSmKyyXolMzk5GWfOnFEY8JvVp3jz5k1thUcIKeGaNGmitM3IyEgjrTCE6CNKYrLJnsSoe/2a1kMhhKizevVq7meGYWBoaIjdu3fDwsJCe0ERUorRX+RsTExMAGQmMR4eHgoD8Xg8HgwNDdG2bVstRUcIKemsrKy450jPnj3x4MED7g0pQkjR0/rbSRKJBNu2bUNAQAC+fv0Ka2tr9O/fn0sWQkNDsWnTJoSEhMDe3h4TJ05ErVq1iuTaLMviwIED2Lt3LzIyMpCWlgYgM4lxc3PDn3/+icWLFyMxMREODg7YsWMH7O3ti+TahJDShWVZrFixgpuP4+nTp/RGEiHFTOtJjEwmg5WVFZYtWwZbW1u8fv0aS5cuhb29PapWrYply5bBzc0NK1euxO3bt7F8+XJs376d+7ZTGJs2bcKMGTO40dJZD5ysh9CQIUMwZMgQSKVSCARarypCSAnFsizatGmDFy9ecNtCQ0PRtWtX3Lx5U2k5BUJI0dB6d5KhoSE8PT1hb28PHo8HFxcX1KxZE//991+eq9oW1uLFixVe98p62zznGwaUwBBCcrNw4UKFBCbLhw8fcP36dc0HRIie0HoSk1NaWhqCgoLg4OCQ56q2hcGyLJKSklSWZb1P7+/vDzc3N9SvXx/Dhw9HZGRkoa9LCCldWJbF77//rrZMm9O9E1LalagmBpZlsWHDBjg7O6NBgwYIDAzMdVXbLDlXneXxeLCxscn1Wnw+H40aNcKjR4+4layzVqz++vUrHj9+jL59+0Iul4NlWURHR+PFixe4desWN4NoUdD26qJAyVltleriG6oL3XH+/PlcJ/Bq1KiRBqMhRL+UmCSGZVl4eXkhLi4OS5cuBcMwea5qmyXnqrMjRozAlClT8rymj48P2rZti48fP4JhGIhEIqSkpEAul2PXrl1gWZbrYpJIJIiIiIC/vz8GDhxYBHf8TUlYXRQoGautUl18Q3WhGwIDA9WWtW/fHk5OThqMhhD9UiKSGJZlsW3bNrx//x6//fYbDA0NAWSuR3LixAm1q9pmybnqLI/Hy3PVWD6fD0dHR9y7dw93796FVCpFREQEfv75ZwBAeHi40urWPB4PkZGRRboirbZXFwVKzmqrVBff6FpdFHTl2dLE3t4efD5fZR3dv38fUVFRsLOz00JkhJR+JSKJ8fb2xps3b7Bs2TIYGxtz2+vUqZPrqrZZvmfV2SyGhoZo3bo1AMDPz4/bHhcXp/RgkkgkaNSoUZH+cSspq4sC2l9tleriG6oL3dG3b1/s3LkTT58+VSpLS0vDnTt30LdvX80HRoge+K6BvS9fvsTAgQPh5OQEkUiEx48fAwDmz5+PixcvFuhc0dHRuHDhAj58+IBRo0bBw8MDHh4eOHLkCAQCARYsWAB/f38MGjQIR44cUVjVtqhdu3aN+/n169cKr14LBAJs2LABNWvWLJZrE0J0k6GhIW7fvg1HR0elMqlUSuutEVKMCtwSc/nyZXTr1g0NGzbEwIEDsXLlSq5MKBTCy8sLXbp0yff5bG1tcebMGbXllStXxpo1awoaZoGlpKTA29ub+5w1FsbKygq7d+9G1apVqUmYEKKSWCzGL7/8onIsnpeXF8aMGaPQykwIKRoFbomZO3cuBg4ciHv37mHJkiUKZQ0aNMCTJ0+KLDhNmj17Npe4ZBcfH4/mzZtTAkMIUevgwYPceLqc4uLi8Pr1a80GRIieKHAS8+LFCwwdOhQAlKbUtrCwUHjVWVf8+++/OHTokMoyIyMjmjqcEKLWs2fPuJm91Skpb5oRUtoUOImxsrJCeHi4yrLAwECULVu20EFp2tu3b9U+ZCQSicoWGkIIAYDr16+rfUYIBALUqVMHNWrU0HBUhOiHAicxvXv3xuLFi/HmzRtuG8MwiIyMxJo1a+Du7l6kAWpC+fLlIZFIVJbRRF+EkNwIhUK1ZXXr1uVeUiCEFL0CJzErV66EjY0N6tatiyZNmgAARo0aherVq8Pc3By//vprUcdY7Fq3bo0OHToodRsJBAIMHjyYupMIIWr17NlT7TNi0aJFCtM/EEKKVoGTGHNzc/j7+2Pbtm2oVq0aOnTogOrVq2Pt2rW4fft2kawurWk8Hg/79u3DwoULIRKJuG3Dhg3Db7/9puXoCCElWfny5bFt2zaViUxaWpoWIiJEf3xXG6dQKMTIkSMxcuTIoo5HawQCAaZOnYqnT5/izJkzqFWrFlatWqW0H8uyePz4MT59+oSqVavCxcVFC9ESQkqScePGoXbt2jhz5gzi4uKwc+dOAND6rMuElHbUUZuDhYUFACAyMhJ79uyBo6Mj2rRpA4ZhIJfLMXHiRJw8eRICgQASiQS//PIL5syZo92gCSFaV7NmTVSrVg3R0dFcEpOQkKDlqAgp3QrcncTj8cDn83P9T5d9/vwZABATE4MFCxZg4MCBmDBhAliWxd9//40zZ86AZVluIPC6detw8+ZNbYZMCCkhUlNTFeaLWbRoEZ49e6a9gAgp5QrcEvPHH38o9f1+/vwZly9fRlRUFKZOnVpkwWna9u3bce7cOe5zRkYGAODMmTNwc3PDo0ePlNaQEQqFePz4Mbf+EiFEf40ZMwaXL1/mPiclJWHAgAF4+PAhxGKxFiMjpHQqcBIzc+ZMlduXL1+OIUOGIDExsdBBaUN0dDTmz5+vsozH4+HFixewtLTkupGyyOVyvV7BlxCS6datW/D19VXaHhsbizdv3qBhw4ZaiIqQ0u27FoBUZ9iwYdi+fXtRnlIj0tPT0atXr1z3sbW1xahRoyASibguM6FQCDs7O/Tp00cTYRJCSrDcnn00Yy8hxaNIk5jAwECl7hZd4Ofnh3fv3qktt7e3x+DBg+Hg4IArV67Azc0NderUQd++ffHPP//AzMxMg9ESQkqiu3fvqtxerlw51KxZU8PREKIfCtyd9Oeffypty8jIwH///YejR49i8ODBRRKYJsXHx0MoFHJjYLITCAS4cuUKTE1NAQBOTk7Yu3evhiMkhJRk/v7+3EsBOQ0bNkznX3ggpKQqkjExIpEIFSpUwLRp07Bw4cIiCUyT6tatqzKBAYBff/2VxrwQQnL1+PFjMAyjcg0lJycnLUREiH4ocBIjl8uLIw6t+vLli8rtNjY2GDdunGaDIYToHBsbG/B4PJXd6fTmIiHFp0jHxOiqkJAQbrmB7DIyMnJdN4llWZw8eRL/+9//sHjxYrx9+7Y4wySElFC9evVCtWrVVHYbrV+/HqmpqVqIipDSL18tMSdOnCjQSfv27ftdwWiLg4ODylWss3+revHiBV69egVbW1u0atUKfD4fy5Ytw+bNmwFkvoa9a9cunD17Fg0aNNBY7IQQ7TM0NMT69esxePBgxMXFKZR5e3vj4MGDqFmzJtzd3TF8+HBaVJaQIpKvJKZfv375PiHDMDr3hlKLFi3Qu3dvnDlzBkBml5lcLkdaWhrkcjk2btyIFStWwMDAABKJBM2aNcPatWuxceNG7hxZx8ydOxeXLl3S1q0QQrQgOjoaAwYMwNevX5XK5HI5EhIScO/ePTx48ACRkZG0VAkhRSRfSUxwcHBxx6FVDMNg69atcHV1xYsXL/Dx40ecP38eUqkUV69exYoVK8CyLNLT0wEA//77LzZt2qR0Hrlcjg8fPuDVq1cQCARwcnKitxII0QPnzp1DSkpKnl/gZDIZ1q1bhxkzZtDcMYQUgXwlMQ4ODsUdh9bxeDwMHDgQAHD79m2cP38eQOarkyKRCGlpady+EokEYWFhSm8j8Hg8JCQkoE2bNgCAWrVq4ciRI7C1tdXgnRBCNC2v8XPZyeVyfP36FWXKlCnmqAgp/WhgrwoVKlTgfs7IyIBUKlUo5/P5qFixIpo2baqwXS6XK4ytCQwMxIQJE4o3WEKI1rVr107pOaEKj8eDvb09rKysNBAVIaXfdyUx+/fvR8uWLWFrawszMzOl/3RduXLluG9VVlZWqFGjBoRCIYDMBMbAwAB9+/ZVOUNn9lfQJRIJ7t69WypfSyeEfFOuXLl8tayIxWLs27ePBvYSUkQKnMTs378fY8aMQe3atREbGwsPDw+4u7vDwMAAtra2aheI1CUGBgawt7cHAERERODs2bMYNWoUmjRpgp49e+LKlSswNDTM97nogUVI6XbmzBnEx8fnuo9AIMD48ePp7UVCilCBJ7tbu3YtFi5ciDlz5mD79u2YNGkSGjZsiK9fv6JTp04wMTEpjjg1KiwsjBvEe/HiRcyYMQPLli1T2Cc6Ohp8Pl9hIF9WspI1TkYgEGDMmDGUxBBSysXHx4PP56ucqiELwzDcc4UQUjQK3BLz9u1btGjRAnw+H3w+H4mJiQAAU1NTzJ49W+G1Y12QkpKCBQsWoG3btujduzdOnDiB9u3bc+ugREdHo0OHDoiNjVU4ztbWFqtXrwbDMDA0NISBgQGsrKzQv39/2NraomzZspgxYwbmzZun9toBAQGYM2cO5s2bBz8/v2K9T0JI8WnSpInC4H9VZDIZ6tWrp6GICNEPBW6JMTc3575NlC9fHq9evULbtm0BZP6S5pzoqSSTy+UYNGgQ7t27x32DunPnjtJ+MTExOHz4MCZPnqywfeDAgXjy5An8/PwgFosxa9Ys9OzZM1/X9vPzw6BBg8Dj8cCyLHbu3IlVq1Zh5MiRhb8xQohGNW7cGPXr18fTp0/V7tO8efN8Px8IIflT4CSmcePGePbsGTp37oyePXtiyZIlkMvlEAqF+P3339GkSZPiiLNYPHr0CLdu3crXvseOHYNAIICtrS26du0KAwMDjB8/HhcuXOC6lMaMGYO///4bnTt3zvN8v/zyC2QymUJ31Lx58zBgwAAYGxt/3w0RQrRGLBbnWn779m2EhYXpxZQVhGhKgZOYuXPnIjQ0FACwdOlShIaGYvr06ZDJZPjhhx+wffv2Ig+yuMTHx4PH4+Xr7aEXL15g6dKlkMvlqFmzJtavX4+zZ88q7MOyLBYuXKiUxMTExOD+/fvg8Xho3rw5LCwsEBERoXQNqVSKmJgYesgRooPq1q2b59uII0aMwLVr1/DhwwckJSXB0dERRkZGAICEhATs27cP0dHRqFmzJgYMGECTZRKShwInMU+fPkX//v0BABYWFjh9+jTS09ORnp6uc69X16lTB3w+P9+vQGdkZAAAXr58iT///FPlPh8+fFD4/OTJE/Tr1w8pKSkAMrvjTp8+jUqVKiE4OFhhsjyRSAQ7O7vvuRVCiJbNnj0bfn5+eP36tdp9IiIiMGjQIFy9ehUAYGlpCR8fHzg6OqJ9+/aIjo7mnkeXLl3C3r17wePRdF6EqFPg345p06ahXLly6Nq1Kw4cOICkpCSIRCKdS2AAoGzZshg8eHCBj5PL5Xj06JHasiwsy2LYsGFISkqCVCqFVCrFly9fMGrUKGzatAkikYj7j8fjYcOGDfl+dZsQUrKYmZnh8uXLue4TFxfHJTAA8OXLFwwYMACrV69GVFQUN7mmVCqFr68vrly5UtxhE6LTCpzEREZGYvPmzUhPT8fw4cNhZ2cHDw8PnD59mmup0CU//PADBIICN0ipfVUye/Pv58+fERkZqZDYyGQyvH37FvXq1cPw4cMhEonA5/PRpUsXdO3ateA3QAgpMQwNDQvUBcSyLBISEhAQEKD0erZQKERYWFhRh0hIqVLgJMbS0hJjx47F1atX8enTJ6xYsQIfP35Enz59YGdnh9GjRxdHnMXGzc3tu1qRateurXJ7hQoVEBkZidjYWJiYmKhsCjY2Nsa6deuwa9cuJCYmIiUlBb6+vrREASGlwKhRowp8TOXKlblZwbNIJBIaH0dIHgrV2WpnZ4dp06bB398fly5dglgsxt69e4soNM2wsrLCTz/9lOd+2SesYxgGc+fOhZubm9K3LplMhjp16qBmzZoYOHAgJk2apPLYHTt2KKy1IpFIcOHCBe4V9bt376JRo0aws7ND/fr1cf369ULeKSFEE9q0aQNTU9N87SsUClG3bl0sXboUZcuWhYGBAYRCIQQCAbp27YoOHToUc7SE6LaC96Nk8/HjRxw6dAiHDh3CkydPYG1tjYkTJxZVbBrz6dOnPPepW7cuoqOjYWtri19//RU//PADdu3ahdWrV+Pq1aswMTFBeHi4wrnu37+PmJgYhcG7LMvCxMREbXdUWloa3r59i379+kEikYBlWXz69AmDBg2Cr68v6tSpU/gbJoTkm1gsznVwbdaXFLFYjFOnTmHo0KEKv/PqiEQiuLm5wcvLC2XKlMHDhw+xZ88eREVFoVatWtw8UgUhEAjynUAVh+x1kZ86KE5UF9+U5roocBITExODo0ePwsfHB3fv3oWJiQl69+6N5cuXo0OHDjr5SmD58uXz3OfZs2dYt24dPD09uW0GBgaYP38+5s+fj5iYGLi4uCgcI5FI8ObNG6VzzZ07F61atcKNGze4fnA+n48KFSqgbNmyWLduHQAo/J/NMAxOnjxJSQwhGpacnJxredaisMnJyfj111/z9ZDu168f1q9fD5FIBAD4+vUrGIZR6IrK67qqmJqa4uvXrwU+rqhkr4vsc2BpA9XFN7pUF1m/E/lV4O6kcuXKYebMmbCzs8Phw4cRFRWFvXv3onPnzjqZwABAp06d8lzfiGVZzJgxA69evVJZnrM/OzepqalYt26dwrgae3t7HDp0CDweT6GbKfv1VW0nhJQceS0CmWXFihUFflgTQpQVOInZuXMnoqKicOzYMbi7u5eKX0S5XJ6vb08GBgZqX622sLBAhw4dFJKZ3JK6MmXK4NKlS3j27Blu3ryJf//9F1WrVgUAdOjQQSlhkclk6NSpU35uhxCiJU2aNMnXFxqaSoGQolHgJGb48OFa7VsrDk+ePIGBgUGe+0ml0lxX6d6xYwe6du0KkUgEY2NjDB06VGWSZ2lpCaFQCB6Ph2rVqqFmzZoK12/UqBG2bNnCHSsUCrF27Vq0bNnyO+6OEKIpq1atgpOTU6779OvXj5ullxBSOIUa2FtamJmZ5avP0srKCh07dlRbbmJigp07dypsa9myJcaNG8d1VzEMg23btuV5rX79+qFHjx6Ijo6GjY0NfXMjRAeUKVMG+/btQ6tWrVQO3mcYRmk+GELI96P5rAG4urqiUqVKeY7p6devH54+fYrmzZvD0dERHTt2xH///ZfrMb169cKlS5fw888/Y8aMGbhy5QratWuXr7hEIhEqVqxICQwhOmTJkiVqExWWZXH69GluGRJCSOFQSwwAHx8fBAcH57nfvXv3sH37dshkMrAsi+fPn6Nbt264c+cOypYtq/a4Bg0aoEGDBkUZMiGkhHr58mWe67FRawwhRUPvW2ICAgIwe/ZslWUGBgYQCASoVKkSgMzXrLMPApbJZEhJSYGHhwcmTpyIhw8faixuQkjJVK5cuVzndzE0NIS5ubkGIyKk9NL7JObhw4dq3yYoV64ctm3bhkWLFgHIHNib8y0mmUyG169f4/jx4+jevTtu3bpV7DETQkqupUuXQiAQqE1k0tLSkJCQoOGoCCmdSmV3koGBQZ6vfmcNtLWxsVHb9BsSEgJzc3P8+OOPeV6TZVnI5XIsXboU9+7dy3es2p5JESg5M0tSXXxDdaG76tati7Fjx2L79u1qny0FmVeKEKJeqUxiMjIy8lxRO2sGwXbt2sHGxgaRkZEq95syZQpevHiBKlWq4P3793B2dsbbt29VPtRZlkVERESBZkbU9kyKQMmZWZLq4htdq4vSMF9UUfnrr7+wbds2lXUmFArRtWtXGBsbayEyQkofve9OMjExwdWrV1GrVi2V5VlrHzVt2hRAZuuMum+lWYu5EUL01549e1QmMDweDwMGDMCmTZu0EBUhpZPeJzEAYGtrC19fX6UJqHg8HhwcHAAAHh4eAKCyhSdr5VkbGxusXr1aqTw8PByHDx/G0aNHER0dXQx3QAgpKdS9eWRvb4+qVati3rx56NChA1q1aoUFCxYgNTVVwxESUnqUyu6k72FgYIBt27Zh1KhREAgyq0Uul+Pz58+wt7eHs7MzzM3NlQbkCYVCdOrUCd27d0fHjh1hZmamUH737l0MHDiQW0bA0NAQJ0+epBYbQkqpLl264P3790qtMeHh4Vi2bJnCkiLv3r1DYGAgt24aIaRg6Lcmm65du+LatWuYO3cuPDw8IJVKkZCQALlcjqCgICQlJSkdwzAMmjZtCnd3d6UEhmVZjBw5Eqmpqdw4naSkJIwZM0ZTt0QI0aCYmBicP39eIYHJPlllzjXRJBIJ/Pz88pw0kxCiGiUxObi4uGDy5MlISEhQGPuiqo+bYRgIhUJ069ZN5bni4uIQFxencB65XI7g4GCa7IqQUmjmzJl4//69wra0tLRcj2EYhl65JuQ7URKjhqokg8/ncwN8AaB8+fI4ffo0KlSooPIc5ubmXNdUdiYmJhAKhUhJScHVq1dx5coVfP78ueiCJ4Roxa1btwr8OrpIJEKNGjWKKSJCSjdKYtTo3r27Uh81wzD4/fffufk7KleunOvYFqFQiHnz5imch2EYLF26FB8+fEDLli3Ro0cPDBkyBD/88AMePXpUPDdDCNGIvFpdsuPxeDA0NMTu3bthZWVVjFERUnrRwF41+vfvjw8fPuCPP/6AXC6HQCCAjY0NFi5ciO7du8PHxwe3b9/G9evX4erqCiBzDMy+fftw+vRpCIVCDB48GFOnTkW5cuVw6tQp8Pl8eHh4oGvXrujWrRsiIiK4ybC+fv2KIUOG4Pnz5ypbbwghJZ+JiQni4+PVlru4uKBKlSpo1aoVKlWqhDp16sDOzk6DERJSutBfSzUYhsEvv/yCESNGoFOnToiIiMDHjx8RHh4OHo/HTUb222+/oU2bNuDxeFi5ciU2btzIjZ+5fv06EhISMGzYMLi7uyuc/8mTJwqD/FiWRWxsLCIiIlCxYkWN3ishpGhYWlrmmsS8evUKr169QlBQEI4fPw5bW1sNRkdI6UPdSXm4desWwsPDuTEycrkccrkcVapUAQA8f/4cp0+fRkpKCtavX68wADhrGQJfX19MnToV06ZNw82bNwFA7YydOd9wIoTojuTkZJXbs5ZwyPLu3TtMmjRJEyERUqpRS0weEhMTlbbJ5XJYWlqifPny+PTpE1asWIFGjRqpHNCXmJiIIUOGcJ99fHywbds2mJiYKL2RYGBgwCU3LMvi7t27CA4ORqVKldCyZUulByEhpGQpU6YMoqKilLbnfDZIJJICrbFGCFGNWmLyYGxsrDS3Q5ZZs2YByFyKwNfXF1ZWVgqJBo/HA8uySv/NmjVL5cy9GRkZiIiIAMuymDZtGvr06YPZs2ejX79+GDt2rNrF5AghJcO8efMUngFZk2GqknOGcEJIwVESk4fk5GSVA215PB48PDxQrVo1AMDatWvx559/wtjYGEKhEAKBABYWFirPmZCQAHNzc6XtDMPA0tISZ86cwZEjRyCXy5Geng65XI7z58/j0KFDRXpvhJCi1blzZxw+fBht2rRBgwYN8PPPP2Pv3r3c8iVZ+Hw+pk6dqqUoCSk9KInJg5WVlVJTMMMwsLe3h0AgwOLFiwEAsbGxWLduHdq3bw+BQABDQ0P06dNHKVnh8XioUKECFi5cqPCNTSAQYOLEiTA1NcXz58/B5/MVjmNZFs+fPy+muySEFAWJRIKzZ8/i5s2bePLkCU6ePImwsDD07NkTQOazw8nJCUuXLqUkhpAiQGNi8tCwYUOlJIZlWTRs2BAA0KlTJ0yaNAleXl4ICAjAs2fPuP3/+usvdO7cGb6+vlzXEp/Ph7e3N3788UeYm5vDx8cHKSkp6N69O0aOHAkAsLa2VoqDz+er3E4IKTlWrVqFQ4cOcc+A4OBgdO3aFTY2NgAynx2XL1/m5poihBQOJTF5uHPnDvh8vtJ4lHXr1iE2NhYTJ07EokWL8Pz5c6XZOqVSKa5evYqbN2/Cz88PPB4PHTt2RKVKlQAA3bp1w8CBA/H161eFcw8aNAje3t6IioqCRCKBQCCAubk5hg8fXvw3TAj5bidOnFCY7Vsmk+Hz588KM3KvWbMGS5Ys0UZ4hJQ6lMTkQSqVqnwr6NOnT1i7di0uXLiACxcuYNWqVWjevLnK452cnFC1atV8X9Pc3ByXL1/G6tWrERgYiCpVquB///sftcQQUsLlZyVqLy8vdOzYES1bttRARISUbjQmJg8tW7ZU+1aQRCLBf//9h5MnT6Jq1apcC0t2rVq1+q5Xo62trbFq1SqcPHkSa9euhb29fYHPQQjRLE9Pz3zNuN23b19cvHhRAxERUrpREpOHrLeD1OHxeIiIiADDMCoXgsxtRs6vX7/iwoULOHfunMq5JQghumXatGmYPHkyhEJhrvuxLIs5c+ZoKCpCSi9KYvJw7969XB9IUqkU1apVw5cvX+Dv769UfvLkSZWT4AUHB6NFixbw8PDA2LFj0aRJE5r8ihAdx+PxsGDBAkyaNCnPRCY2NlZDURFSelESkwexWKyyJYbH44HH48HZ2RkbNmxQmJU3u+zLEGQ3YcIEREdHQyqVQiqVIjk5GcOGDVMYFEgI0U35mZiyTJkyGoiEkNKNkpg8dOjQAdbW1gr93AzDYNiwYWjYsCHevXuHJ0+e4P79+wCgNL+LmZmZyjExAQEBSglOfHw8IiIiiuEuCCGa1LVrV7VfYLKkpaVpKBpCSi9KYvJgZmaGCxcuoFWrVrC2toaLiwuOHDmCcePG4eHDh0otJzm/gcXHx+Pp06dK51XVxQTQVOSElAaNGzeGt7d3roP61S0WSQjJP3rFOh8qVKiAI0eOAACio6OxZcsWlYkJoDo52bFjB7Zs2aKwTV1z85cvX7iJsQghuqt79+5qy/h8PmrVqqXBaAgpnSiJKYCYmBi4uroiPj6+QGNXjh8/jqSkJIjFYvTr1w/t2rVTu29eTdCEEN3A5/NhaGiI1NRUpTJLS0ts3bpVC1ERUrpQd1IBbN++vcAJDJCZmFy4cAHHjh3DwIEDcfjwYZWLQ6p7TZsQonsYhsH//vc/pXFyAHD58mU4OTlpISpCShdKYrK5d+8eduzYgZMnTyI9PV2pPDIyskAJTM5Jr1iWBcuymDdvHtatW6fQX84wDObPnw8TE5PvvwFCSIkyZcoUrF69Go0aNULlypW57TSol5CiQd1J/2/lypVYt24dRCIRpFIpqlevjnPnznFJRUZGBszMzPI8j5mZGdLS0sDj8dCrVy8cPnxYaZ/ExER07twZJ0+exIkTJ5CSkoLOnTujd+/eRX1bhBAtYhgGQ4cOxdChQ/Hw4UN06dIFABAeHl6gpUgIIapREgPgyZMnWLduHViW5b4hBQYGYs2aNfj111/h6+uLUaNGqWydycIwDBiGwd69e7k1UViWxT///IMvX75w+/F4PFSoUAFCoRAtWrSAm5ub0gKQhJDSp3z58tzPHz9+1GIkhJQe1J0E4L///oOBgYHCNolEgoCAALx//x5DhgxRm8Dw+XzY29ujefPmOHnyJJo0aYJXr14hMDAQLMti165dCn3iIpEI27dvL9b7IYSUPLa2tlwXc3h4uJajIaR0oJYYAHZ2dpBKpQrb+Hw+DAwM0KNHD7VzugCZg3ZjYmIQExODqVOnQiaT4dOnTwCAWrVq4ciRIzh16hR69OgBIHNtlUaNGhXfzRBCSiQ+n4+yZcviw4cP3DOCEFI41BIDoG3btmjatCm31olAIICBgQFu3LiB6OjoPI+XyWSQyWQICwtT+IYVGBiICRMmoGnTpnBwcAAAvHr1qnhughBS4pUrVw4AKIkhpIhQSwwyvyEdPnwYXl5eePLkCezs7BAcHIybN2+qPcbS0hLx8fFK27O32kgkEty9exdyuRxNmzZFaGgo7t69C5Zlc53JkxCi+yQSCY4ePYrQ0FBUrlwZ/fv358bFUHcSIUWDkpj/JxKJMH36dADAsmXLcOPGjVz3T0pKytd5DQwMwDAMmjVrhsOHDyMmJgbv378vsjki3r17h6CgINjb26Nu3bqUHBFSAmRkZKBv3754/PgxGIYBy7I4dOgQ6tevDyBzYC99mSGk8CiJyeHcuXPYtGmT2nIejwe5XK52vhg+n8/NuisQCDB8+HCMHTsW58+f5/a5efNmkSQxGzZswPLly8Hn8yGVStG/f39s3rwZPB71EhKiTQcOHMDjx48VnhMPHjyAvb09gMx1kxITE2Fubq6tEAkpFeivXQ53795VmQQwDIMffvhB5ZpHpqamqFKlCjZs2ICRI0fCzs4O5cqVwy+//IKgoCBcuHBBYeCwl5dXkcS5fPlysCzLnfvkyZPYt29foc9NCCmcd+/eqXwhIPtbjjQuhpDCoyQmB1NTU6UkRiAQYNq0aWq/NSUnJ+Pjx4+YP38+RowYgRcvXiAgIAATJkzA5cuXlVptQkJC1C4AmV+PHj2CSCRS2CaVSvHgwYNCnZcQUngVKlRQ2VVUpUoV7mdKYggpPEpichg0aBCEQiE3t4tAIIBYLMbo0aNhamqq8hi5XI6MjAykpqbif//7n8J2dcLCwgoVp7m5udL5BQKByjWZCCkpJBIJNm3ahDFjxmDAgAGYPHkyrl+/zpWHhoZi5syZ6NevH6ZMmYKXL18qHH/nzh2MHTsW/fv3x6JFixAXF6dQvn//fnh6emLQoEHw8vJSaAFNSkrCqlWrMGDAAIwYMQIXLlwotvscNmwYnJycYGBgAB6PB6FQiGrVqmH06NHcPjS4l5DCoyQmBwcHB1y6dAnNmzdHxYoV0bJlS/zzzz+wt7dH2bJlcx1vIpPJ8P79e+6zmZkZKlWqpHLfwraY9OrVCzY2Ntxr4Xw+H0KhEKNGjSrUeQkpTjKZDFZWVli2bBl8fHwwefJkbNu2Da9fv4ZUKsWyZcvQrFkz+Pj4wN3dHcuXL+cG0X/8+BEbN27E5MmTsX//fpQrVw5r1qzhzu3r64ubN2/izz//xLZt2/D+/XscOXKEK/f29oZMJsOePXuwcOFCHDhwAM+ePSuW+zQ2NsalS5cwZ84cDBs2DPPmzcPFixdRrlw5GBoacvdDCCkcSmJUqFGjBk6cOIHHjx/j6NGj3CDcjh075tq6wufzuflggMzuHXXftu7evVuoGM3MzHDp0iX06NEDNWrUgKurK/755x9aGZeUaIaGhvD09IS9vT14PB5cXFxQs2ZN/Pfff3j+/DnS09PRp08fCIVCuLq6ws7ODv7+/gAAPz8/NGzYEPXr14dIJIKnpydev36NiIgIAMCVK1fQu3dv2NnZwdzcHB4eHrhy5QqAzAUX79y5gyFDhsDY2BhOTk5o164dV14cxGIxpk6ditWrV2PKlCkwMjICwzAoW7YsAODWrVs0bxQhhURJTAFcvnxZaWVqIPONJQMDAxgYGOD333/ntn/58kVpJuAsWQ/mwrC3t4e3tzdu3boFHx8f1KxZs9DnJEST0tLSEBQUBAcHB4SFhcHBwUGhtdPR0ZHreg0NDYWjoyNXZmpqChsbG4SGhgLI7KLNvlK0o6MjYmNjkZyczI0/yd4yWqVKFe5YTYmIiOC+2Dx+/Biurq7w8fHRaAyElCZaf8X63LlzuHbtGkJCQtCsWTOFMSWhoaHYtGkTQkJCYG9vj4kTJ6JWrVpai/XLly/c69NZBAIBGjVqhJYtW2LAgAEKD1krKyuYm5sjISGB25Y1Z8S7d+8QExOjdpwNIaUdy7LYsGEDnJ2d0aBBAwQGBkIsFivsIxaLkZKSAiAz4TE2NlYqT01N5cqzH5/1c2pqKtLS0mBkZKT22OxiY2MRGxvLfRYIBChTpoza+8gaP5d9jTR1Zs+ejYyMDACZ98+yLGbMmIGOHTvCzs4uz+PzwjBMvuIoLgWpi+JGdfFNaa4LrScxVlZW8PDwwNOnTxVWc87qH3dzc8PKlStx+/ZtLF++HNu3b4eJiYlWYm3cuDGOHDmi0Loik8kwZ84cbuXq7Hg8Hnbs2AFPT0/weDxucqus1yzv3bun8LYCIfqCZVl4eXkhLi4OS5cuBcMwMDIy4hKWLCkpKVzyYWhoqFSenJystjzrZyMjIxgaGiolLNmPze748ePYsWMH93ns2LEYP358nvdkZmaW5z4vXrxQevVaJpMhMjISNWrUyPP4/Mi5mK025KcuNIHq4pvSWhdaT2KaN28OAHj//r1CEpO9f5zH48HV1RVnzpyBv78/OnXqpJVYPT09ce/ePRw5cgQCgQBSqRSzZs1SmcBkcXV1xa1bt3Dt2jXuPlxdXZGSkoK7d+9i8ODBGrwDQrSPZVlu4O1vv/3GDXStVKkSTpw4AblcznUpBQcHw83NDUDmoPuQkBDuPElJSYiNjeXGoVWqVAnBwcFct2pwcDCsra0hFou56f4/fPiAihUrcuXZx7BlcXd3R5s2bbjPAoFA5RIjWfh8PszMzJCYmKjUUgtkthA9e/YMcrkc1tbW+PDhg1J9GBkZ5XqN/BKLxUhOTi70eb5XXnWhSVQX3+hSXVhaWhbo3FpPYtTJq39cG3g8HjZv3oxx48YhPDwcTk5OqFatWp7HOTk5KQy4/fHHH3H9+vVCD+4lRBd5e3vjzZs3WLZsmUL3UJ06dSAUCrlV3/39/REZGYlmzZoByFyodebMmQgICECNGjVw4MABVK9enRso2759e5w8eRKNGzeGoaEhDh8+jA4dOgDIbKVp0aIFDhw4gJ9++glRUVG4evUqZs2apRSftbU1rK2tuc+xsbH5+iOUtRBsdmFhYejbty839kbVA7pnz56oUqVKkfyhY1lW638wAdV1oWlUF9+U5roosUlMampqrv3j2eXsw+bxeLCxscn1/IXpo2vYsCEaNmxY4OOyNG/eHNevX8fLly+RkJDAvSatLSWl71bb/bYA1UV2xVEX0dHRuHDhgtJ0AP369YOHhwcWLFiAzZs34+DBg7Czs8O8efO4cWMVK1bE1KlTsXnzZsTHx8PFxQUzZ87kztGpUyfExMRg+vTpkMlkaN26NTw8PLjy8ePHY/PmzRgxYgSMjY3h6emJevXqFdm9qTJ69GiFSe2+fPmiUM4wDF6+fAmJRFIimvsJ0TUlNonJq388u5x92CNGjMCUKVPydR1t9Fd27twZK1asAMuyWLJkCapXr44OHTrAxcVF47FkVxL6bkvKg5zq4puirAtbW1ucOXNGbXnlypUV5n7JqWXLlmq7bxmGwZAhQzBkyBCV5SYmJpgzZ07BAi4EqVSKgIAAhTEwOcfDZA3yf/HiRaG+GBGir0psEpNX/3h2OfuweTxenv3L2uyvdHZ2hlAohEQigbe3NwQCAWQyGfbu3YuuXbtqNBag5PTdarvfFqC6yK44+7H1AZ/Ph0gkQlpaWp77loSmfkJ0kdaTmKw+Mrlczk3fz+Px8uwfz+57+7CzX1+V5ORknDhxAtHR0ahduzY6deqkcj2UghIKhRAIBJBIJArXHzduHAIDA5XWRNIUbffdlpR+W4DqIjtt14WuYhgGU6ZMwbp167j6YxgGDMMoTJppa2ur9VZYQnSV1pOYw4cP49ChQ9znO3fuoF27dvj5559z7R8vbomJiXBzc0NISAh4PB6kUikGDx6MtWvXFkkio+rbWUpKCiIjI1W+MUEI0T3/+9//YGZmhv3790Mul6N37974+PEj98xjGAZ16tTBjBkz4O7urrU3LwnRVQyrar14HZd9kK86fD4flpaWiI+PV/ktc8mSJfD29lZYgZrH4+H48eO5vlKdX9WrV8fnz58VtvF4PLx7907j8+DkVReaYmpqqvCavTZQXXxTkLrI3hJa2uT1PPmefzPr16/H8uXLFbYxDIO1a9di6NCh3x2rtv/dlJTfH4DqIjtdqouCPkto2QE1Xr16pZDAAJkDLYOCgork/CtWrFD4zOPxMH/+fK1N5EcI0RxVE9uxLIuFCxcqDf4lhKhHSYwaDg4OSuskSSQSlCtXrkjO7+7uDmdnZwCAjY0NduzYgZ9++qlIzk0IKdmy5rbJKTk5mZvRmxCSN0pi1JgxYwbMzc0hFArBMAyEQiFat27NTZ5VFDp27AgA+Pr1q9JbV+np6di+fTvmzp2LrVu3qpwfhxCim1QN5GUYBuXLl+dmMCaE5E3rA3tLKnt7e9y4cQM7d+5EdHQ0atWqhVGjRinMIFxYzZo1g5eXF9LS0vD48WM0bdoUAJCRkYGePXvi+fPn3Cvmhw4dwsWLF5UWwCOE6A6WZfHXX39h/fr14PF43O+3QCCAQCDAzp07tR0iITqFkhgV0tPTcejQIYSGhsLR0RGzZs0qlll1mzZtyj3Ibty4wSUxhw4dwvPnz7kxOTKZDEFBQfjrr78wceLEIo+DEKIZ+/fvx+zZsxVesZbL5eDz+ejduzfq1q2rxegI0T2UxOSQlpaGnj174sWLF9y2I0eO4MSJE0WeyFhYWODHH3/EvXv3cO3aNcyePRsAEBoaqvQat0wm49ZfIYTopm3btikkMFlSU1Nx9OhRCAQCrF27VguREaKbaExMDvv27cOLFy8gkUi4/x49eqQwl01RyhoX8+TJE8TFxQHInHo95xsKPB4Pjo6OxRIDIUQzcpu9VyKR4MCBA1p/HZcQXUJJTA7v379X+U0pJCSkWK6XNbkVy7K4ceMGAGDgwIFo1KgRhEIh91/t2rUxfPjwYomBEFK8Pn/+jAEDBiAsLCzX/WQyGSIjI1U+gwghyqg7KQcHBwfweDylb0OVKlUqlus1bNgQVlZW+Pz5M65evYq+fftCKBTixIkTOHToEIKDg1GpUiUMGjRIa8sREEK+H8uyGDZsGB4/fpyv/evXrw8LCwvs3r0brVq1KuboCNFtlMTkMHz4cPj4+CAoKIh7c6B27doYOHBgsVyPz+fD1dUVx48fh5+fH3dNoVBYqJk7CSElQ1RUFO7fv1+gY758+YJBgwbhzp07tAwJIbmg7qQcjI2NcenSJSxcuBAjR47E4sWLcebMmWJtBWnXrh0AICYmBs+fPy+26xBCNK8wXUM3b94swkgIKX2oJUYFY2Njjb7K3LZtW+7na9euoV69ehq7NiGkeJUtWxa1a9fG69evIZVKAQACgQByuTzXBIdl2SJZbJaQ0oxaYkoAW1tbbn6Iq1evajkaQkhRYhgGPj4+qFOnDrfNzc0Ns2fPVpuk8Hg8GBgYFOkM4YSURpTElBDt27cHADx8+BAJCQl4/PgxWrVqBQcHBzRv3hx3797VcoSEkO9lb28PX19fBAUFISQkBHv27MGMGTMwYcIEbp8ePXrA3NwcQOaLBKdOnYJQKERAQAA3/QIhRBElMUVILpdj06ZNaN++Pdzc3LB///58r0ibNS5GJpPh2LFj6NWrFwIDA5GSkoKgoCC4u7vj9evXxRk+IaSYmZubQywWc5/HjRvH/ezq6opHjx7h9u3buHXrFu7evQsXFxd06NABLi4u2LZtmzZCJqREozExRWjBggXYs2cP1+/95MkTJCUlKXzbUqdx48YwMzNDYmIiDh06pNBfnpUIHTt2DAsWLCi+GyCEaFT58uVhbW2N2NhY7N27F7/88gtYloWBgQEkEgn3uy+Xy7Fo0SLUqFFDYQwdIfqOWmIKSCqV4tSpU/Dy8oKvry/3kElOTsbOnTu5BAbIfPD88ccf+TqvQCBA69atAQBBQUFKLTgsyyI9Pb2I7oIQUhIwDMMN5H/27Bn3e5+RkaH0DBAIBPS2EiE5UEtMAaSnp8Pd3R2PHj2CQCCARCJB3759sWXLFnz9+lVl11FycjI390te2rdvj3PnziEpKUmpTCaTcV1OhBDdFRsbizNnziApKQlNmzZF/fr18zWgn2EYWsWekBwoiSmAnTt34vHjx5BKpVyLy4kTJ9CjRw907twZdnZ2iI6O5pIZPp+POnXq5CuBAaCQpPTo0QMXL16EVCoFj8fDb7/9BldX16K/KUKIxoSEhKBLly5ITEwEwzDIyMjAkCFD1O7PMAxYlgWPxwOPx0Pfvn01GC0hJR91JxXA69evIZFIFLYJBAK8fv0aPB4P48aNU2iNkclkBZpvply5cqhZsyYAICEhAW/fvsXt27fx9u1bhQGAhBDdNHv2bHz58gUZGRlIT08Hy7LYv3+/0n58Ph8mJiaoWbMmLCwsUKdOHZw7dw5VqlTRQtSElFzUElMAZcuWhVAoVEhk5HI57O3tIZFIsGbNGqVjli1bVqBvT+3atcN///2He/fuAQCqV69e+MAJISVC9gnvsrO0tER8fDyMjY0hk8lQvXp1eHl50e8/IXmglpgCGDduHKysrCAUCgEAQqEQ1atXR9++fRETE4PU1FSlYz5+/Figacez5ovJyMiAv79/0QROCCkRKlasqNS9zLIsateuDQBwdHTEx48fcfXqVUpgCMkHSmIKwNraGtevX8f48ePRq1cvzJgxA+fPn4dIJEKZMmW45CY7W1vbfI+JAYAff/yRG7x35cqVIoudEKJ9v/32GwQCAQQCARiGAZ/Px9ixY9G8eXMAmS01qr4MEUJUo+6kArK2tsbixYuVtotEIqxatQq//PIL+Hw+gMyupj///LNA5xeJRGjVqhX++ecfXLt2jdZPIaQUadCgAa5du4a///4biYmJaNGiBTw8PHD58mUAmePodu3ahS5dusDJySnf501KSsLq1avx/Plz2NnZ4ZdffkHVqlWL6zYIKTEoiSlCQ4cOhYODAy5dugSBQIA+ffqgQYMGBT5Pu3bt8M8//yA0NBTv378v0MOMEKJ9J06cwNq1a/H161c0b94cq1at4pYUqF69OpYtW6awf1Z3EpDZWrN06VL89ttvGD9+fJ7XSk9PR48ePfDmzRtIJBLw+XxcuHAB165do2cHKfUoiSlirVq1QrVq1SAQCFCmTJnvOkf2V63pQUSIbjl16hQmTJjAval45swZvHv3DhcvXoRAoPqRe+rUKe7nrDF0CxcuRJMmTVC/fv1cr/fPP/8oDBiWyWRIT0/Hli1bCtwSTIiuoTExRSgiIgLt2rVDnTp1ULNmTbi7u+PLly84fPgwBg8ejKFDh+Ls2bN5nqdy5cpc4kKrWhOiWzZt2qQw1YJEIsHTp08REBCg9hhVC7wKhUI8fvxYYdvDhw/RokULVKxYEU2bNsWdO3cQFxenlBzJZDJERUUV8k4IKfmoJaaIsCwLT09PhUUa7927h27duiEoKIj7duXr64tVq1ZhxIgRuZ6vXbt2ePfuHfz9/ZGamgojI6PiDJ8QUkSSk5OVtjEMo3J7lrS0NKVtGRkZCp/fvXuHPn36ICMjA3K5HO/fv0f//v2xceNGpeMFAgEaNmz4nXdAiO6glpg8vHv3Dnfv3kV0dHSu+8XGxuL58+cKc0BIJBIEBgYqvGItl8vx66+/5rm6dVaXUmpqKjdnDCGk5Gvbtq3Sm4rGxsYK415yio+PV7k9MTGR+/nUqVMqF4Z98eIFbG1tFY6Ty+Xo2rXrd8VPiC6hJEYNuVyOqVOnomnTpujZsyfq1auHo0ePqt1f1evV6iQnJ6uc8Cq7Fi1awNDQEAB1KRGiSxYtWoQWLVpwn8ViMf7++29YWVmpPSY2Nlbl9vPnz2Pu3LnYtm0bUlJSVO7z9u1bfP78WWEbwzDYsWMH9zk1NRV37tzBjRs3kJCQUJDbIaREoyRGjR07duDYsWPcZ6lUiilTpih0F2VnYWGBDh06KCQzAoFA5RwxpqameSY9RkZG3NwRZ8+ehUwmU9onNDQUHh4eqFu3Lrp06YJHjx7l694IIcXH2NgYR44cwe3bt3HhwgU8e/YMrVq1yvUYe3t7ldufP3+OPXv2YOnSpTh//rxSF5NEIkHFihVzHRPz6dMntG7dGn369IGHhwcaN26Mp0+ffv8NElKCUBKjxo0bN5RaS4RCIR48eKD2mO3bt6Nr164QiUQwNjbGwIEDVc7Wm5KSkq9ZfPv16wcACA8Px/Xr1xXK4uLi4Obmhlu3biEiIgKPHz9Gz5498erVq3zcHSGkODEMg+rVq+OHH36AmZmZQtmTJ08wefJkDB06FNu3b4dcLsf48eNVzgclk8kgk8kgkUgQHBys8loxMTFIT09X2CYUCrkxMRMmTMDHjx/BsizkcjkSExMxePDgPFuDCdEFlMSoYWZmptSKIpfLIRaL1R5jamqKnTt34uPHjwgNDcWvv/6qcr+sh8mNGzcwYsQIjBo1CkePHlUaJ9O9e3fuAXjgwAGFsnPnziExMZF7EMnlcshkMuzbt6+gt0oI0RB/f3906dIFx44dw6VLl7B48WL89NNP6N27NxYtWqSQyORMatR98Xn//j1mzpwJhmEgEonA5/PRqFEjTJkyBQDw6NEjhYRFLpcjJiYGERERxXCHhGgWJTFqjB07FgzDcA8SoVAIW1tbdOzYMd/nMDc3R4MGDRSaeoVCIdq2bYtz586hf//+OHz4MM6ePYspU6Zg7dq1CscbGRnB3d0dAHDp0iWFfvOkpCSVSVZSUlKB75UQohlLly5VGJwrlUpx+PBhBAUFYcqUKQgLC0P58uVVHqtu5m4zMzPMmjULvr6+2LhxI/bv349Tp05BJBIBgNovXjlbiAjRRZTEqNGoUSMcP34cdevWRdmyZeHq6oqLFy/C1NS0QOfZt28fXFxcFM67detWLFiwACzLcq0vcrkcf/zxh1IS4unpCSCz7zv7wOKmTZsqNSHzeDyFAYWEEO1jWRaRkZGIiIhAZGSkUosrwzDc24+GhoZcNzLLshAIBDAwMIBQKISLi4vKRCZrGZT69etj+PDh6NChA7f0CQDMnDlT4QuPQCDAkCFDuBmECdFlNE9MLlq0aFHoRRjt7e1x5coVREVFgWEY2NragmEYxMXFKe3Lsizi4uJgYmLCbatbty5q166NFy9e4MCBA5gwYQIYhkGjRo2watUqzJkzh/tWN3LkSAwcOLBQ8RJCis7nz58xbNgw3L9/H0Bml7NAIFDo3mEYBlFRUfj69StMTU3Rt29fbNiwAQDQrVs3VKpUCZUrV8bAgQPx+PFjjBkzBvHx8TA3N4eXl1ee88GMGzcOxsbG2Lt3LyQSCXr27Imff/652O6ZEE2iJEYDGIZRevvA2dkZgYGBCm8dmZiYoGzZskrHenp6Yu7cuXjz5g0ePXqExo0bA8hMWrp06YL379+jbNmycHR0LP6bIYTk28SJExVm3U1JSQGPx4NQKATDMMjIyADLspg4cSKsra1x6tQpuLi4oEaNGnj9+jU+fvyInTt3csc3bdoUL168KFAMDMNg6NChGDp0aJHdFyElBXUnacm2bdtgYmICAwMDiEQiCIVCbN++HQYGBkr79uvXj+vf3r9/v0KZvb09mjdvTgkMISWMTCbD9evXIZFIFLZJJBKsWrUKJiYmYBiGG+gfExOD1q1bo0KFCtzkd48ePUJISIiW7oCQko+SGC1xcXGBv78/Nm3ahBUrVuD27dtqBw1bWFigW7duADJn7aTBu4SUfAzDKIxNya5Dhw74/PmzwvgYlmUhlUqRnp6OmJgYbvvJkyeLPVZCdBUlMVpka2uL4cOHY9iwYahSpUqu+w4ZMgRA5my/p0+f1kR4hJBC4PF4GDhwoMLElkKhEN26dYOlpWWux8rlcm4Q75EjR5QG8RNCMlESoyNatGgBBwcHAMpzxhBCSqaVK1diyJAhMDExgbGxMXr37o0tW7YozbyrSlYSExQUBEdHRxw+fBgA8OrVK5w/fx7Pnj0r1tgJ0QWUxOgIHo+HQYMGAQAePHiAwMBALUdECMmLSCTCH3/8geDgYISGhsLLywtisRimpqYoV66c2rlfAMXJ7SQSCaZOnYpx48ahTZs2GDt2LNq3b4+ZM2fmuZgsIaUZJTE6ZNCgQdx8D9QaQ4huevfuHZYuXYqGDRvCyMgIAoEAfD6fW/AVALctOx6Ph1OnTgEAN1h4//79NGaG6LVS+Yp11hs/ucn6BiQWi7X6TUYgEOR7Ar3q1aujU6dOuHTpEo4ePYrff/9d5dtMBaWLdVFcqC6+KSl1UZo8e/YM3bp1g1Qq5VpaOnXqhIEDB6J58+bg8/mIiYmBj48Ptm7dqjAFg0wmA5/PV9jGMAwePXqEvn37QiqV4sOHDzAwMICxsbHG740QbSiVSUxGRkaefc58Ph8GBgZITk5WWiGaZVncvHkTYWFhcHR0RIsWLXJt9i0MU1NTfP36Nd/7DxgwAJcuXUJMTAyOHTuGHj16FDqG3OpCkwpaF8WB6uKbgtRFXl8aSKZ58+ZBIpEo1OelS5ewdOlSbrCvmZkZ3N3dsWXLFqXjcz6HeDweLCwscP36dYwePRqJiYng8XiYM2cOpk+fXrw3Q0gJUCqTmMKQy+UYM2YMzp8/Dz6fD4lEgjJlyqBv376YO3eu1r8dd+rUCdbW1oiNjcWBAweKJIkhhKgnFouV1inLriAtVp8+fVJKCBmGQXx8POrWrctt+/HHH3H27FmMGzeOW4EaADdJnkQigUAggLGxMbp27YpOnTpxX9zkcjlWrlwJZ2dnbhydppSk1jttt2ZSXXxTnHVBSUwOPj4+uHjxosIibXFxcdi9ezfu3LkDX19frX7rNDAwgIeHB7y8vODn54fw8HCUK1dOa/EQUtolJyfnWl6QFquqVasiMjJSYdkBALCzs1NqecvIyIBAIIBAIIBQKERKSgokEgnMzMzw9etXmJmZwcvLC3fv3lVqeWZZFrt27UL37t25z2FhYZBKpXBwcFBYlLYolZSWTED7rZlUF98UZ6suDezN4cWLFyozRZlMhsDAQPj6+mohKkVZi0LK5XL4+PhoORpCSH6tWrUKpqam3Lg9hmHw66+/Kq1c/ebNG/Tr1w8hISGQSCRISUkBkLnqdXx8PCQSCb58+YJRo0bh4cOHKq8VGhoKAIiPj0f37t3RuHFjNG3aFM2aNUNwcHDx3ighGkJJTA42NjZqZ9kUCAT4/PmzhiNSVq1aNfzwww8AgIMHDyq8ikkIKbmqVKmC27dvY9GiRZg+fTpOnjyJSZMmKe138uRJbkmCLFlN8lnbspYwyD67b3Z2dnYAgKlTp+LJkyfc9g8fPmDQoEH03CClAnUn5TB8+HDs3r0bMTExSr/k6enpCv3W2uTp6YkHDx4gLCwMt2/fRuvWrbUdEiEkF35+frhy5QoMDAzQt29f1KlTR+2+EolEqctJVQuxXC6Hra2tUsLD4/HQu3dvAFC5ftO7d+8QGRlJXdFE51FLTA5lypTBtWvXMHToUFhYWIBhGBgYGIBhGCxYsAANGjTQdogAgF69ekEsFgOgOWMIKel2796NAQMGYPfu3fD29kanTp1w48YNtfubmprmq6VELpeja9euWL9+Pfh8Ptda4+7ujjFjxgCAwrIH2RXF9AyEaBu1xKhga2uLNWvWYNWqVbhz5w6io6NRs2ZN1KpVS9uhcUxMTNC7d28cOHAA58+fR3x8fJ7rsRBCNC85ORnz58/nFngEMruGZsyYgUePHqk85tatWyq3ly9fHp8+feI+T548Gd27dwfDMGjXrh0+ffoEU1NTODs7cwnN6NGjsWXLFu7aQqEQrq6usLa2LsrbJEQrqCUmF3w+H61bt0a/fv1KVAKTJWtRyPT0dBw7dkzL0RBCVImKilLZNRQeHo5p06bB2dkZ1apVw6xZsxATE4PXr18jKipK5blSU1MVPgcEBAAAIiMjMXv2bIwdOxbTpk3DvXv3uH3mzp2Ln376CWXKlIG5uTnc3d2xffv2Ir5LQrSDYbX9AnsxiI2NzXMfPp8PS0tLxMfH6+ykZizLolWrVnjz5g0qV66M27dvf9fr36WhLooK1cU3BamL0vytPq/nSV71lJqaiqpVqyq8Bs3j8SASiZSSkiw5x7jkZtWqVfjzzz8VEh+GYfDPP/9ovPu7pPz+ANr/HaK6+KY4nyXUEqPDGIbB+PHjAQAhISHYvHmzliMihORkZGSE9evXc4mLUCgEj8dTm8AAqgfxAlD55qSXl5dSyw3LsliyZEnhAidEB1ASo+M8PT3RsGFDAMD69eu5uSEIISVH//79cfHiRUycOBHW1tZK3UuFERYWpnL706dPi+wahJRUlMToOB6Phz/++AMMwyAtLQ3z5s3TdkiEEBUaNmyI9+/fIyIi4ruOz2rJyZptN6tVRl2rTXGt90ZISUJJTAkmk8lUDgrMqV69ehgxYgQAwNfXF5cuXdJAdISQgsrvjN+qEhCBQIBhw4ahd+/eqFu3Lnr06IEuXbqoPUdJmQ6CkOJEr1iXUGfOnMHUqVORkpICkUiEP//8Ex4eHmr3nzdvHs6ePYvY2FjMmzcPrVu3hrGxsQYjJoTkJT/dSDweD2ZmZkhKSlJ4JRvInIzT0NAQoaGhqFixIgQCAa5fv640vsbQ0LDAY+Rev36Nw4cPIzU1FW3btoWbm1uBjidEG6glpgR6+vQpxo4dy62Xkp6ejilTpuDu3btqj7GwsMCvv/4KIHNa8fXr12sgUkJIXuRyOd69e4egoCBUqlQpX/snJSUpLNLIsiwaNGiAs2fPomHDhujduzcaNWqEvXv3Ytq0adx+DRo0wLhx4/DgwYMCzcZ7//59tG/fHt7e3ti7dy+GDRuGDRs2FOxGCdECSmJKIF9fX6VVZgUCQZ7dRB4eHmjatCkAYMuWLXj37l2xxUgIyVtUVBTat29f4IUXpVIp0tLSFLY9ePAAK1euVBgDs2HDBlSpUgUVK1bkrjd37lzY29sXKM5Zs2ZBIpFAIpFAJpOBZVksX748X9NVEKJNlMSUQOoWoFS3PQvDMFi1ahX4fD4yMjIwZ86cfM81QQgpeuPHj8ebN2+4z1m/jwzDwNnZGf3790fjxo1hbm6er/PlHCvD4/Hw6NEjrhU2PDz8u1phP378qPSsYFn2uwchE6IplMSUQN26dQPLsgoPLLlcjl69euV5rIuLC8aNGwcgc+G3M2fOFFuchBD1pFIp7t69q7D4YhaWZREVFQUvLy9cvHgRjRs3zvN8DMOoTGLEYjF69OiB5s2bAwA2bdqEmzdvFihWJycnpS9JfD4fFSpUKNB5CNE0SmJKoBo1auDQoUOws7MDANjY2GDfvn2oV69evo6fNWsW15y8cOFCJCUlFVushBDV+Hy+UrdwdtmTG3X7ZSUWQqEQ9vb2KhdzHDRoEBiGwdq1a7mFI8ePH4/w8PB8x/rnn3/C0NAQIpEIIpEIDMPgjz/+oPXYSIlHSUwJ1bp1azx//hwRERF49eoVOnXqlO9jTUxMsHTpUgBAREQE1qxZU1xhEkLUYBgGI0aMUJmgZC3CmMXW1lZlS0jHjh3RrVs3TJgwARs2bEB6errCPhkZGdyCkFWrVuXWRIqNjcXo0aMVljrITe3atXH79m3MnTsXP//8M86ePYthw4YV6H4J0QZKYkq43L7J5aZ3795o06YNAMDb2xv//fdfUYZFCMmHJUuWYNKkSbCysgKP9+1x27hxY4W3fyZOnMgtRwBkJjlVqlTh3hZatGgR7t27p9QSIxQKFeae6dOnDyZPngwAePjwIRYuXJjvWCtUqIDJkydj5syZaNKkyXfdLyGaRkmMjouLi8Pjx4+Vmo4ZhsHvv/8OoVAIqVSK2bNn0yBfQjRMIBBg4cKFePPmDT59+oT79+/jyZMnOH36NCwsLLj9nJ2d4evrCzc3NzRo0ACDBw/GhQsXFOZ6yqvLKSEhAY8fP8aoUaO48TG7d+/G0aNHi+8GCdEySmJ02IEDB1CrVi107twZ9erVw5IlSxQSlapVq3Lfyu7evUsPM0K0SCAQoEqVKqhQoYLKGXlr1qyJv/76C76+vlizZo1CkgMAPXr0UDngv3fv3jh16hRcXFzQvHlzNGrUCA4ODtyYul9++QUvX74s1nsjRFsoiSmhEhMTsXz5cowcORJLly5FfHy8QvnTp08xffp0hWXNt27dimPHjinsN336dG4OiV9//RUJCQnFHzwhpMhVq1YNR48eRfny5cEwDMqWLYsDBw7A0NAQEyZMUBj/cuTIEfTr1w8CgQCpqakYOXIk/e6TUomSmBIoKSkJnTt3xpYtW3Du3Dls27YN7dq1U3gI+fv7QyQSKRwnl8tx48YNhW3GxsZYvnw5ACAmJgYrV64s/hsghBSLFi1a4MmTJ4iKisKzZ8/Qvn173L9/X6mrSSaT4f3799z8McHBwZg6dSrkcrkWoiak+FASUwL5+PggNDSUewVTIpEgOjoae/bs4fYxMjJSeiBlzRmRk5ubGzp27AgA2LNnDwICAooxekJIccvepWRoaKj0LGAYBiYmJhg3bhx69+4NALh48SIaNmyILVu2UDJDSg1KYkqgqKgopT5zmUyGyMhI7nP37t0hFou5b2BZE2F5enoqnY9hGKxYsYJ72I0aNYoSGUJKiY4dO8LKykqhNYZhGAwfPhwMw+CHH37gtn/69AlLly7F/PnztREqIUWOkpgSqEaNGipbWWrWrMl9trGxwcWLF/Hjjz+iTJkyqFWrFk6cOIG6deuqPGflypXxyy+/AADCwsLQtWtX7Nmzh95YIqSEksvlOHfuHNetrK71xMLCAufPn0fTpk1hZWWF6tWrw8fHh3tNeu3atUrn3blzp9I4O0J00fdNQkKKVd++fXH+/HlcvHgRQqEQEokErVq1UmplcXJywunTp/N93mnTpsHCwgLz589HRkYGZs2ahXv37mH9+vU0MychJYhMJsOQIUPg5+fHPQPatWuHv//+W+Uaag4ODjh58iRMTU3x9etXhbKcn7OMGzcOe/fuVdkFTYiuoJaYEojH42H37t3YvXs3pk6diu3bt8PHx+e7J77LkjWD6IULF+Dg4AAAOHHiBNq3b0+vYBKiBR8/fsT+/ftx4MABhcUWDx06hBs3bkAmkyEtLQ0ymQx+fn44dOhQga9Ru3Ztla90X79+Hb169VLopiZE11ASU0KdOXMGEyZMwOrVqzFp0qQineOlXr16uHr1Krp27QoAePv2LX788UccPny4yK5BCMnd3bt30bx5c8yePRuzZs1Cs2bN8OjRIwBQWPk6C8MwCAwMLPB1KlWqpNRtbGJiAgAICAhA586d8eLFi++4A0K0j5KYXISEhGDGjBkYNGgQVq1ahdTUVI1c9+nTpxg3bhx3vfT0dEydOhV3795V2jdrwG9+10jJYm5ujr1792Lp0qUQCARISUnBxIkTMX36dI3dJyH6imVZjB49GmlpacjIyEBGRgZSU1MxZswYAEDZsmWVWk8YhuEWdi2Iy5cvK21LSkrC8OHDAQDh4eHo3r27yv0IKekoiVEjODgYrq6u8PHxwZUrV7Bhwwb06dNHYeXZ4uLr66vUdSQQCHDp0iWl/ZydnVGnTh04ODhg586dBboOwzCYOHEizpw5g/LlywMA9u/fj65du+L9+/eFuwlCiAKWZREZGYm4uDgkJiYiJiZGoYVELpfj48ePSEtLw9ChQ1GhQgVurSShUIgKFSpg6NChCAgIwKlTp/D48eN8X1eVmTNnYvXq1eDz+UhOTsaQIUMK/AwhRNsoiVFj48aNSEtLg1QqBZA5V0tAQIBGvq3w+XylNxHkcrnCgL7AwEAMHz6cG7QnlUoxb948/PPPPwW+XtOmTfHkyRNuVd0XL16gffv2OHv2bCHughCS5cOHD2jdujXq1KmDGjVqYMyYMUqLOQKZk1OKRCKYmJjg8uXLmDp1Kvr06YOpU6fC19cXK1asQIcOHTBp0iR07twZ06dPz/MNw169eilcSygUokGDBrCzs8OIESNw8OBBmJiYQC6XY+7cuahWrRoWL15c4NZdQrSBkhg1IiIiuAQmi0AgQHR0dLFfu1q1akrXlslkqFq1Kvf52rVrSm8pMAyDixcvftc1bWxscOTIEcyePRsMwyApKQmjRo3CggUL6GFGSCHI5XIMGjQIQUFB3LY7d+6gRo0aCitbMwyDZcuWcd1IZmZmmDt3LrZv3465c+fizp072LVrFwBwLcI+Pj44fvw4goKC4ObmhjJlyqBRo0a4cOECd95Vq1ahe/fu3HkbNmyI/fv3c5/btWuHn376ids/Pj4eXl5ecHV1xefPn4upVggpGpTEqFGvXj2lb0rp6elwcXEp9mu/fv1aqTuJz+crDOrLa0Xb78Hn8zFz5kwcPXoU1tbWAABvb2/06tULHz9+/O7zEqLPIiIi8ObNG4UvJhKJBEFBQdi5cyd69uyJXr16Yd++fRg6dKja89y8eVOphVYmk+Gff/5B9+7d8fTpUyQnJyMsLAwjRozA7du3AWS27mzfvh0fPnxAaGgozp07B1tbW4Xz7N+/X+l6gYGBqFevHhYsWIDw8PDCVAEhxYaSGDWmTZuGOnXqQCAQwNDQEAzDYNq0afjxxx+L/doMwyh8QwMyX7vOPtCvU6dOSttYlkXfvn0Lff02bdrg2rVr3GRZDx8+RJMmTdC1a1csXrwY586do9cyCckndV84eDweevTogV27dmHnzp1wc3PL9TwhISEqt7948QJfv35VWAwWAP7++2+FzyKRCMbGxirPkZiYqHJ7WloavL290bhxY0ybNg3v3r3LNUZCNI2SGDWMjY1x7tw57Ny5E0uXLsW5c+c0NlV3ly5dlB5IMpkMPXr04D5XrFgRtWvXVugPt7W1RYMGDXI9d34HJpctWxanTp3C1KlTAQAZGRl48OABvLy8MHLkSNSpUweNGjXChAkTsGvXLgQEBCh1gRFCMrtqzc3NlbZXqVKlQOfJ3p2cXZkyZZTeZGJZFunp6fk+948//qjU8mxsbIwOHToAyHxuHDx4EM2aNaNlS0iJQklMLoRCIbp164aRI0dqpAUmi4uLC9q3b6+wrVmzZgoJyrFjx/DgwQOFfaKiorB06VKV53z8+DHq16+PcuXKoVKlSvmaE0YgEGDRokVYuXIlevbsiebNm8PIyIgrDwsLw/HjxzFnzhx06NABTk5O6NOnD1asWAFfX1+uPz02NhZeXl5ISUnJdx3kJiwsrFjfokhJScGGDRuKLN78unLlCq5cuaLRa+bmxIkT8Pf313YYOi86OlphBfoswcHBBTpPzmcCkNlq27dvX6UvPXw+n1v0NYtEIkFaWprKc69btw6Ojo5gGAZ8Ph9isRgHDx6Ej48Pbty4AXd3d/B4PLAsi7Nnz6JDhw7o378//Pz8NP57Qkh2DFsKF8+JjY3Ncx8+nw9LS0vEx8crPQA0SdU04efPn8eIESOU9t28eTMGDBgAILO15uHDh0r7WFlZKU2U9enTJ9SvX19p30OHDqF9+/Zq6+LQoUNcS0yWqVOnomfPnvj333/x8OFDPHjwoEDjZQwNDXHkyBGIxWKIxWKYmJhALBbD2NgY5ubmaqdIBzKTi6yZhrOUL18eT58+zff181K2bFmFFiU+n1/sXWcbN27Eb7/9prBt0aJFSnWvKaomV9y7dy+6deum9pisMVSlUV7Pk7yeJep+/4yNjREaGlqgWDZs2IDly5dzLbAzZszA3LlzcenSJYW5paZOnYqFCxeCYRikpqZixowZOH78OFiWRfPmzbFz507Y2NgonDs9PR2PHj1CWloa6tWrhzJlyiiUh4SEYMuWLfDx8VFo5eHxeKhRowbq16+PRo0aoU2bNqhQoUKhxucVBVXPVk0qKX9jAN2qi4I+SyiJKYFJzLBhw1S+ZdSqVSucOHECQObAY1WD7YRCodL2tm3bqlxWgMfjISoqSm1d5HzIZYmJiVH4HB4ejgcPHnBJzbNnz75rPp2sZCZngpP1n7op11u1aoWePXtyY4SyxhTl/C+v7ZMnT1b5NoaJiYnS+AJV07jnRd0xvXr1Urn9zJkzao/J7fqFOSYtLQ19+vRRuU/O/9+zoyRG/bNELpejbdu2ePv2LZcgC4VC9OjRA97e3gWO59OnTwgNDUWFChVQqVIl7ho+Pj54+vQpypYtizFjxsDMzAxA5vi+I0eOcNfm8/moX78+Ll68qPBv4sOHDzhy5AiSk5PRoUMHNG/eXOX1o6Ki4O3tjT179iApKUnlPiKRCLVq1UL9+vXRoEEDNGjQAFWrVtVoYqNLf7iLmy7VBSUx0I0khmVZ7NmzB3/99RfS09PRo0cPzJo1C0KhEH379sWtW7eUjmnYsCE3D0zDhg3x4cMHpX1UJTHqkhEg8w+TqrqIi4tDjRo1VB4zb948TJ8+Xe05U1NTERAQoDCGh+g+SmJUy8+z5NOnT/D09OS+THTq1Ane3t7c9P+FwbIsxo4di/Pnz3MvBNjb2+PKlSuwtLSEvb29yrieP3/OzQD877//KrW0jRgxAqtXr1Z5TVtbW4XxeHXq1EFkZGSu/0b4fL5CHGKxGFu3boW5uTksLCxgYWEBc3NzGBsbq0y4X79+jVatWilsCw0NVTtYOa8/3DlbvBmGKdIpNNLT01GhQgWFbVeuXEG9evWK7BqqdO3aVWGogb29PUJCQrSWxOT8W1W3bl1cvXpV7f4FfZboxCrWSUlJ2LJlCx4/fgwjIyN4eHhw6/7oKi8vL/z222/cL/WWLVsQERGBzZs3o3Xr1iqTmJYtW3I/W1lZqUxiso9ZycIwTJ4TYuWU81XO7PJqZTEyMkLTpk1z3efIkSNISkpCcnIy959EIkF8fDz3OWd59nk2CNEl5cuXh5+fH2JjY2FgYKByoO/38vPzw9mzZxV+ZyMiIrB+/XosWbJEbWKVfSyLqq7CvXv34ueff+Zm886SM4EBMhOikJAQJCYm4u3bt7h9+zYeP36Mp0+fcuOBcsaRnJyMYcOGKV03q36yJzYWFhY4duyY0r4ODg7Ytm0b+Hw+BAIBBAIB97OpqSkyMjKUtgsEAkgkEqUue5ZlYWNjo9BqnT2ZKujP1apVU4q3Q4cOCm94qTs2u4Jcd+7cuUpjJSMjI9GgQYNCjbf7npZnIPPfVc6/U8+ePcO4ceOwffv2744nO51oiVm7di3S09Px888/IyIiAosWLcLs2bNRt25dlfvrQkuMs7Mzvnz5orT97du34PP5aN26NcLDwyGXy8EwDGxsbHD79m1YWloCAJYsWYLNmzcrHd+iRQucOnVKYVv//v1x/fp1pX1FIhE+fvxY4O6k6OjofP2jLl++vMqJ8lTFCOT9zUldPOPHj8fs2bMhl8sV/mNZVuF/1ZVn/de/f3+V38TMzc25MSLqfl0Ks11dQn7+/PkiOX9e27NvS09P58Zd5UQtMapp+1mye/duLF68WGnQbseOHXHw4EG1vzfr1q3DkCFDAKj/3erQoQN8fHwUtqnbt0aNGvD391eoC7lcjuDg4Dy/1BD9o+55UupaYtLS0nDnzh2sX78exsbGcHJyQrt27XDlyhW1SYwuUDeiPykpCRUqVICfnx/WrVuHwMBAVKlSBdOnT+cSGADo3bs3tmzZovAHiGEYlZNlHT16VClpYhhGZUtOdsuXL1d6rXzkyJH5zso/ffqk9MAzMzNTmcDkR2hoqNLA3ooVK2LZsmXfdb6cXr58qZR4CQSCYm8BWrJkCRYvXqywbdmyZRp9Iy67oUOHKo0ByvmHjJQclSpVUmodFQqFeb7CnZ/vr+rGvKgSFxentI3H48HJySnX486dO4eEhAR8+fIFX758Ufg567/Xr1+rncuG6LcS3xLz7t07/O9//+MGtAKZzaenTp3Chg0bVB6jCy0xvXv3xv3797nBdjweD7a2tnj69Gm+B78dPnwYP//8M3eO6dOnY+7cuWqTjISEBOzatQu9evVSeLDkVhepqak4deoUkpOTMXDgwO/qw09JScGZM2cwcODAXPfL7+Cz2NhY3Lx5s0gm9suJz+dDJBJh79696N69u9r+9uLw77//Asics0PbA/GAzKUt6tatCzs7uyIfjKdLSnpLDMuyGDFiBHx9fQFkPktsbGxw9epVlClTRmX3D5A5kNfQ0BCA+taVS5cuoVGjRgrb1O27cuVKjB8/XmVduLi4qP3mnVsLXxZVbyZmefr0KaRSKaRSKWQyGfezSCRCYmIiZDKZwnaZTIbbt29j69atKs+3adMmAIpJXkF/BjLfHFNl3rx5sLKyKtT51f28dOlStfMD5XwDUhMWLVqk8t+ekZERwsLCVB5T6gb2vnz5EitWrMCBAwe4bf/++y927tzJ9anFxsYqPGiyfolzw+fzYWZmxv0j17SIiAj07t0bb9++BcMwKFOmDI4fP446deoU6DwJCQkIDQ2Fvb290lTi+aXtusgiFouRnJystesDVBfZFaQusrcSljYlPYkBMsebHDp0CEFBQbCwsMDw4cNhYWEBALh9+7bSG2e//vorJk+ezH0+ePAgpk2bprBPvXr1VI6jWLNmDVatWqWwzdTUFO/fv8+1LlQ9k3MbmJtT06ZNlWYMVtXdlT2m3L4IVK1aVWn+nqlTp2LRokX5iicvY8aMwenTpxW2VaxYMd+rj38vVfX8+fNnrfzbVJd8FmXXdIlPYvLTEuPt7Y0dO3Zw5SNGjMCUKVM0HmtBpaen48mTJ5BIJKhfvz5MTU21HRIhJAddSGKyqPvDnZSUhH379iE1NRWDBg1CuXLllPaJiorCxIkTER8fjzlz5qBz585qrxMWFoZu3bohOTkZkyZNwsyZMwHkXReenp64ffs2KleujBs3bhT4/g4dOoSFCxeCz+dj+/btaN26tdp989OauXHjRmzYsAHGxsY4evSo2jcyvwefz8d///2Hnj17QiqVYtGiRSoHMheHQYMGwd/fH1WrVsXVq1e13rLr5uaGN2/eoGHDhjh+/Hiu+5a6JCYtLQ2DBw/Ghg0bULFiRQCZA9m+fPnCNdfpYktMFl37xl2cqC6+0bW6oJaYkp3EaArVxTdUF98U5zwxJX5gr6GhIVq0aIEDBw7gp59+QlRUFK5evYpZs2Zx+1hbWyvceGxsbL7/0WT1l2oLy7Ja/weeheriG6qLb7RdF0WpNE7XQIg+K/FJDJD5Cu3mzZsxYsQIGBsbw9PTs9gnDCKElD7e3t6QyWTYs2cPN11DhQoVdPpNR0L0mU4kMSYmJpgzZ462wyCE6LDSOl0DIfqMVrEmhOiFT58+AQC33hAAVKlSpcCLMBJCSg6daIkhhJDCSktLU1qWQywWcys/Z8n5ooBAIFBa0Tm7rHmdtL1qM5A5iaU246C6+Ibq4pvirAtKYgghesHQ0FApYUlOTlZKbI4fP64wZcPYsWMxfvz4PM+ftWq0thkYGGg7BKqLbKguvimOuqAkhhCiF7IWMvzw4QM3XUNwcLDSZFzu7u5o06YN91kgECA+Pl7teUvKa/mA9l/Np7r4hurim+KcroGSGEKIXsjPdA3A90/ZUBJeRS8pr+ZTXXxDdfFNcdQFJTGEEL1B0zUQUrpQEkMI0Rs0XQMhpQu9Yk0IIYQQnURJDCGEEEJ0UolfALK4xMbG4vjx43B3dy/wglOlDdXFN1QX31Bd5A/V0zdUF99QXXxTnHWhty0xsbGx2LFjR54r1OoDqotvqC6+obrIH6qnb6guvqG6+KY460JvkxhCCCGE6DZKYgghhBCik/Q2ibG2tsbYsWP1vq8SoLrIjuriG6qL/KF6+obq4huqi2+Ksy70dmAvIYQQQnSb3rbEEEIIIUS3URJDCCGEEJ2kl8sOJCUlYcuWLXj8+DGMjIzg4eGBrl27ajusYnHu3Dlcu3YNISEhaNasGf73v/9xZaGhodi0aRNCQkJgb2+PiRMnolatWlz5nTt3sHfvXnz58gU1a9bEtGnTUKZMGW3cRqFJJBJs27YNAQEB+Pr1K6ytrdG/f3+0bdsWgH7VBQBs3rwZDx8+RGpqKkxNTdGpUyd4eHgA0L+6KAx6lmTSt38z9DxRpNXnCauH1qxZwy5fvpxNTk5mg4KC2MGDB7MBAQHaDqtY3Llzh7179y67detW9o8//uC2SyQSdsyYMeyxY8fYjIwM9tq1a+ygQYPYr1+/sizLsh8+fGA9PDzYJ0+esGlpaezWrVvZOXPmaOs2Ci01NZXdv38/GxERwcpkMvbly5fsgAED2P/++0/v6oJlWTY0NJRNS0tjWZZlo6Oj2UmTJrG3bt3Sy7ooDHqW6N+zhGXpeZKTNp8netedlJaWhjt37mDIkCEwNjaGk5MT2rVrhytXrmg7tGLRvHlzNG3aFGZmZgrbnz9/jvT0dPTp0wdCoRCurq6ws7ODv78/AMDPzw8NGzZE/fr1IRKJ4OnpidevXyMiIkIbt1FohoaG8PT0hL29PXg8HlxcXFCzZk38999/elcXAFCpUiWIRCLuM8MwCA8P18u6+F70LMmkj/9m6HmiSJvPE71LYj59+gQgs9KzVKlSBaGhodoKSSvCwsLg4OAAHu/bPwFHR0eEhYUByGwCdHR05MpMTU1hY2NTauopLS0NQUFBcHBw0Nu6+Ouvv9C/f3+MHj0aaWlpcHV11du6+B70LMlE/2boeQJo73mid2Ni0tLSYGRkpLBNLBYjNTVVSxFpR2pqKsRiscI2sViMlJQUAJn1ZGxsrFReGuqJZVls2LABzs7OaNCgAQIDA/WyLoYPH45hw4YhKCgI9+/f5+5JH+vie9CzJJO+/5uh50kmbT1P9K4lxtDQUKmCkpOTlR5GpZ2RkRH3DylLSkoKVw+GhoZK5aWhntj/a+/uQ5pq3ziAf5eb85Vshs3UJklbSkqWE6JMS5NezCLSyt6gglALAu3NP2wROkgIC438I0NoFYml/hNJpVYU5FsFSYZNy8pKK4tpNefO80d0eM7Pfk/59KStfT8wcNeu3ec6N+Pm4j7zTBBw/PhxvHnzBnv27IFMJnPauQC+bPtOmzYNcrkcZ8+edeq5GCmuJV8482eG64nUWKwnTtfEBAQEAAC6urrEWEdHBzQazViVNCamTJmCJ0+ewG63i7GOjg5xa1yj0aCzs1N8zWKxoLe316HnSRAEnDhxAmazGQaDAW5ubgCccy7+l91uR3d3N+diBLiWfOGsnxmuJ//faK4nTtfEuLm5Ye7cuTCZTBgYGEBHRweuXr2K+Pj4sS7tlxgaGoLVaoXdbofdbofVaoXNZkN4eDgUCgUqKysxODiI+vp6vHz5EnPmzAEAxMXFoampCffu3cPnz59hMpmg0+ng7+8/xmf075WUlKCtrQ0HDx6UbGE621z09/ejtrYWAwMDsNvtaG1txaVLlzBz5kynm4ufwbXEedcSgOvJV2O9njjlzw5YLBYUFRWhubkZHh4ef/S9Hc6cOYNz585JYgsXLsSuXbvQ2dmJoqIidHZ2YtKkSUhPT8eMGTPEvJs3b6KsrAzv3r1DWFiYQ9/L4PXr19i2bRsUCgVcXFzE+OrVq5GamupUczEwMID8/Hw8fvwYdrsdKpUKCQkJWLVqFWQymVPNxc/iWuJ8awnA9eTvxno9ccomhoiIiByf011OIiIioj8DmxgiIiJySGxiiIiIyCGxiSEiIiKHxCaGiIiIHBKbGCIiInJIbGKIiIjIIbGJISIiIofEJoaIYDAY4OXlBQDo7OyEwWDAixcvxqyWW7duDYsHBwdjx44dY1AREf2ueMdeIsKzZ8/Q3d0NvV6Puro6LFiwAA0NDYiKihr1WmQyGQoKCpCdnS2Jt7S0YMKECQgODh71mojo9yQf6wKIaOwFBgYiMDDwl4w9NDQEu90OhULxU+NERkb+RxUR0Z+Cl5OISLyc9HUXBgD0ej1kMhlkMpmY19fXh4yMDPj7+0OpVGL27NmoqamRjBUXF4ekpCSUlZVBp9NBqVTi7t276O7uxpYtWzB16lS4u7tj2rRpyMnJwefPn8X3fj3W7t27xWPX1dUB+PblpMrKSkRGRsLNzQ1qtRqZmZmwWCzi63V1dZDJZKipqUFaWhq8vb2h0Whw+PBhyTgPHjzA0qVL4evrCw8PD+h0umE5RPT74U4MEYlmzZqF4uJiZGZm4tSpU5g+fbr4mtVqxaJFi/Dq1Svk5eUhICAAp0+fxrJly9Dc3Izw8HAxt7GxEU+fPsWhQ4fg4+ODoKAg9PT0QKVS4ciRI5gwYQIePXoEg8GAly9forS0FABw+/ZtzJkzBzt37kRaWhoAICws7Ju1VldXY9WqVUhJSUF+fj7MZjP279+PtrY2XLlyRZKbnp6OjRs34uLFi7hw4QL27t2LiIgILF68GACQnJwMPz8/nDx5EuPHj0d7ezuePXv2n84tEf0CAhE5vQMHDgienp6CIAhCbW2tAEBoaGiQ5JSWlgpyuVx48OCBJB4dHS2kpKSIz2NjYwVXV1ehq6vrH485ODgomEwmQS6XC/39/WIcgFBQUDAsX6PRCJmZmeLzyMhIITo6WpJz5swZAYBQW1srOZfdu3eLOUNDQ0JQUJCwdetWQRAEoaenRwAgVFdX/2O9RPT74eUkIvohNTU1CA8Ph1arhc1mEx/x8fFoaGiQ5EZERAz7jo0gCCgsLERYWBjc3d2hUCiwfv162Gw2mM3mEdVisVhw9+5dpKamSuIpKSmQy+W4ceOGJJ6YmCj+PW7cOEyfPl3cafH19YVGo8H+/ftRVlbGHRgiB8Imhoh+SG9vL1paWqBQKCQPo9GIrq4uSa6fn9+w9xcWFiIrKwsrVqxAVVUV7ty5g+LiYgDAp0+fRlRLX18fBEGAWq2WxOVyOXx9ffH27VtJ3MfHR/Lc1dVVPKZMJsPly5cRGhqKzMxMBAUFYfbs2bh+/fqIaiKi0cfvxBDRD1GpVIiIiMDJkye/m/v3LwN/VV5ejuTkZBiNRjHW2tr6r2rx8fGBTCbDq1evJHGbzYY3b95ApVKNaDydTofy8nIMDg7i1q1byMnJwfLly/H8+XPx/jlE9PvhTgwRSbi6ugIYvjuSkJAAs9mMyZMnIyoqatjjez5+/CiO/ZXJZBqWp1Aovrsz4+XlhZkzZ+L8+fOSeEVFBWw2G2JiYr5bz7coFArExsZi3759+PDhw5jd8I+Ifgx3YohIQqvVwsXFBaWlpXBxcYFCoUBUVBQ2bdqEkpISxMXFITs7G1qtFn19fWhpaYHVapXssHzLokWLcPToURQVFUGr1cJkMqG9vX1YXmhoKKqqqhATEwNPT0/odDp4e3sPyzMYDFi5ciXWrVuHzZs3i/+dFB8fj7i4uB8+3/v37yMrKwtr1qxBSEgI3r9/D6PRiODgYISEhPzwOEQ0+rgTQ0QSEydORHFxMerr6zF//nzo9XoAgFKpxLVr15CUlIS8vDwkJiYiIyMDjY2NmDdv3nfHzc3NRVpaGnJzc7F27VoolUocO3ZsWF5xcTHsdjuWLFkCvV6Ppqamb46XnJyMiooKPHz4ECtWrMDBgwexYcMGVFZWjuh81Wo11Go1jEYjlixZgu3btyMoKAg1NTVwcXEZ0VhENLr4swNERETkkLgTQ0RERA6JTQwRERE5JDYxRERE5JDYxBAREZFDYhNDREREDolNDBERETkkNjFERETkkNjEEBERkUNiE0NEREQOiU0MEREROSQ2MUREROSQ2MQQERGRQ/oLkdINkHdgfwoAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df = pd.melt(test, id_vars=['iterations', 'replicate'])\n", + "(ggplot(df, aes(x='iterations', y='value'))\n", + " + geom_jitter(width=0)\n", + " + geom_smooth(span=0.3, se=False)\n", + " + facet_wrap('variable', scales='free')\n", + " + theme(subplots_adjust={'wspace': 0.25})\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Looks good!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Bounded Fitzhugh-Nagumo" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5.05 seconds\n" + ] + } + ], + "source": [ + "t = pints.Timer()\n", + "test = run_replicates(np.geomspace(1, 50, 10), 10, cp.bounded_fitzhugh_nagumo, parallel)\n", + "print(t.format())" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df = pd.melt(test, id_vars=['iterations', 'replicate'])\n", + "(ggplot(df, aes(x='iterations', y='value'))\n", + " + geom_jitter(width=0)\n", + " + geom_smooth(span=0.3, se=False)\n", + " + facet_wrap('variable', scales='free')\n", + " + theme(subplots_adjust={'wspace': 0.25})\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This is an interesting test!\n", + "\n", + "- Convergence is all-or-nothing: Either it gets to almost the right answer in 10-20 iterations, or it gets stuck somewhere (if you don't see any failing examples, try re-running).\n", + "- Many runs show an increased distance from ~30 to ~50 iterations: this is presumably the optimiser overfitting to the noise." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/cmaes.ipynb b/cmaes.ipynb new file mode 100644 index 0000000..5cf2c3f --- /dev/null +++ b/cmaes.ipynb @@ -0,0 +1,1382 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# CMA-ES\n", + "\n", + "CMA-ES is not implemented in PINTS, so doesn't need extensive testing here.\n", + "\n", + "Nonetheless, a number of examples are shown below:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd\n", + "from plotnine import *\n", + "\n", + "import pints\n", + "import pints.toy\n", + "import pints.cptests.cmaes as cp\n", + "\n", + "from utils import (\n", + " function,\n", + " function_between_points,\n", + " technicolor_dreamline,\n", + " run_replicates,\n", + ")\n", + "\n", + "method = pints.CMAES\n", + "parallel = True" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Logistic model - no transformations\n", + "\n", + "We start by tring CMA-ES on a simple 2d logistic model, without applying transformations." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "model = pints.toy.LogisticModel()\n", + "\n", + "xtrue = model.suggested_parameters()\n", + "times = model.suggested_times()\n", + "values = model.simulate(xtrue, times)\n", + "values += np.random.normal(0, 5, values.shape)\n", + "problem = pints.SingleOutputProblem(model, times, values)\n", + "\n", + "error = pints.SumOfSquaresError(problem)\n", + "xlim = [0, 0.5]\n", + "ylim = [10, 100]\n", + "boundaries = pints.RectangularBoundaries(\n", + " [xlim[0], ylim[0]], [xlim[1], ylim[1]])\n", + "\n", + "x0 = boundaries.sample(1)[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Minimising error measure\n", + "Using Covariance Matrix Adaptation Evolution Strategy (CMA-ES)\n", + "Running in sequential mode.\n", + "Population size: 6\n", + "Iter. Eval. Best Current Time \n", + "0 6 70486.97 70486.97 0:00.0\n", + "1 12 14637.63 14637.63 0:00.0\n", + "2 18 12429.66 12429.66 0:00.0\n", + "3 24 12429.66 13391.83 0:00.0\n", + "20 126 12174.14 57172.23 0:00.0\n", + "40 246 12055 12104.86 0:00.1\n", + "60 366 2791.603 2791.603 0:00.1\n", + "80 486 2181.017 2181.017 0:00.1\n", + "100 606 2180.992 2180.992 0:00.2\n", + "120 726 2180.992 2180.992 0:00.2\n", + "140 846 2180.992 2180.992 0:00.2\n", + "160 966 2180.992 2180.992 0:00.2\n", + "180 1086 2180.992 2180.992 0:00.3\n", + "200 1206 2180.992 2180.992 0:00.3\n", + "220 1326 2180.992 2180.992 0:00.3\n", + "240 1446 2180.992 2180.992 0:00.3\n", + "260 1566 2180.992 2180.992 0:00.4\n", + "280 1686 2180.992 2180.992 0:00.4\n", + "300 1806 2180.992 2180.992 0:00.4\n", + "320 1926 2180.992 2180.992 0:00.4\n", + "330 1980 2180.992 2180.992 0:00.5\n", + "Halting: No significant change for 200 iterations.\n", + "0.46 seconds\n" + ] + } + ], + "source": [ + "controller = pints.OptimisationController(\n", + " error, x0, boundaries=boundaries, method=method)\n", + "#controller.set_log_to_screen(False)\n", + "controller.set_parallel(False) # This is faster\n", + "\n", + "b = pints.Timer()\n", + "xbest, fbest = controller.run()\n", + "print(b.format())" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Found xbest Relative error\n", + " 1.005e-01 1.000e-01 0.544% \n", + " 4.953e+01 5.000e+01 -0.933% \n", + "\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "print(' Found xbest Relative error' )\n", + "for x, y in zip(xbest, xtrue):\n", + " e = (x - y) / y \n", + " print(f' {x:> 3.3e} {y:> 3.3e} {e:> 3.3%} ')\n", + "print()\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot(1, 2, 1)\n", + "ax.set_xlabel('Time')\n", + "ax.set_label('Value')\n", + "ax.plot(times, values, label='Noisy data', alpha=0.7)\n", + "ax.plot(times, problem.evaluate(xtrue), '--', label='Clean data', alpha=0.7)\n", + "ax.plot(times, problem.evaluate(xbest), label='Fit')\n", + "ax.legend()\n", + "ax = fig.add_subplot(1, 2, 2)\n", + "function_between_points(ax, error, xtrue, xbest)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The results show that we _almost_ find the correct parameters.\n", + "By plotting the error function we can see that this isn't the optimiser's fault: the noise has introduced a bias to which we overfit." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Detailed run\n", + "\n", + "We can also plot the optimiser's progress through parameter space." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "x0 = [0.4, 90]\n", + "opt = method(x0, boundaries=boundaries)\n", + "walk = [x0]\n", + "for i in range(80):\n", + " opt.tell([error(x) for x in opt.ask()])\n", + " walk.append(opt.x_guessed())\n", + "walk = np.array(walk)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Create points for contour plot of marginal density\n", + "levels = np.geomspace(1e3, 4e5, 20)\n", + "x = np.linspace(*xlim, 200)\n", + "y = np.linspace(*ylim, 150)\n", + "X, Y = np.meshgrid(x, y)\n", + "Z = [[error([i, j]) for i in x] for j in y]\n", + "\n", + "# Plot contours and optimiser progress\n", + "fig = plt.figure(figsize=(15, 6))\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "ax.contour(X, Y, Z, levels=levels, colors='k', alpha=0.2)\n", + "technicolor_dreamline(ax, walk[:, 0], walk[:, 1], lw=3)\n", + "ax.set_xlim(*xlim)\n", + "ax.set_ylim(*ylim)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The optimiser starts with large exploratory steps, during which it figures out the relative scales of the parameters (blue section).\n", + "From there on, it starts moving towards the optimum." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Neal's funnel" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Neal's funnel is a hard function to sample from.\n", + "We can test if it's also hard to optimise.\n", + "(Note that we only plot 2 out of 10 dimensions here)." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "log_pdf = pints.toy.NealsFunnelLogPDF()\n", + "x0 = 9 * np.ones(10, dtype=float)\n", + "x0[-1] = 7\n", + "\n", + "opt = method(x0)\n", + "walk = [x0]\n", + "for i in range(200):\n", + " opt.tell([-log_pdf(x) for x in opt.ask()])\n", + " walk.append(opt.x_guessed())\n", + "walk = np.array(walk)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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lSUKxWEQikUC/38fy8rLnmj02NoZIJIJ+v88dQc7tM5kMgsEg+v0+6vW6Z/+JRAI+nw+6rrsMVlrC4TBkWeaZB8Pjqqry6LEwXgVPww/90Jfi9OlfwauvruHNbx7f78PxII26GO42b37zm9mrr7665+8r2BuckRwA0HXdZTTZts29iYwx1Ot1j0EUDocRiURgWRY2Nzf5dk6DKR6PwzAMLC4uerYvFApIJpPo9Xo8SuPcfmZm5rGjJHfvenuQnDp1CrFYDNVqFfPz855xp6d6cXGRv043l7NnzyIYDKJUKmFjY8M1JkkSTp06BVVVUS6XUalUPDfXY8eOQZZlVKtV7q11jtNkq16vuzzNzpsrMPD0aprm2lZRFCSTSQDutDZaR5ZlPtHv9/t8YkHby7LMJ37OlLlhb/Goc0UgEAied4YdcGRk0HVR13WPsakoCjeYyYlI48DAiCVnEN1TnduHQiGEw2HYts2jm85jiEajiEajsCwLGxsbnuNLpVKIxWLQdR2rq6ue/yGfzyMej6PX6/F7nnOdqakpxONxtFotzM/Pe+7ZJ06cQDweR61Ww7179zyfGUWHK5XKyOjwuXPnEAqFsLW1heXlZc/4qOiw85544cIFqKrKMwuGDcJTp05BkiSUy2U0m03XmCzLPHpbr9fR6/VcY7Isc2Oe7qnO7RVF4Q4IymihbUX09GDx0Y9+AR/72FX86Z9+5459L5IkfZ4x9uZn3o8w6J4fbNvmC/DAW9rtdvlFgowaii4Ag/QPwzBc48FgkHvPFxYWYBgGH7NtG/F4nHtgr127xren8ymbzfLowec//3nPsebzeUxNTcG2bbz2mlcOtlgsYnx8HKZp4sqVK64LG3kDc7kcdF3H3Nyc5+Kbz+eRSCT4zWd4+3Q6jXA4DF3XUa1WPdvH43H4/X4YhoFOp+MZD4VCUBSFe3KHvZFObyC9LhAIBAKBYHuGDT1anLXBZPA6l0gkAlmWoWkaut2uZzydTkNRFLTbbbRaLc/4xMQEd5KOcjKfPHkSkiRhfX2dp8Q65zyU1bKwsIBKpeL6n1RV5Vkzc3NzqNfrrvFAIMDThWdnZ13pwMAg+nvu3DkAwJ07d9Dr9ficRpZlhMNhPt9aWlqCYRiu8VAoxCPepVIJtm27xgOBgKuMYtgYVRRF1L/ex7JsvPzyr+Mnf/Ir8Lf/9tkd2acw6A4Rtm3DNE2XwUUpGMCgOL/X67nGJUnCxMQEAGBjY4MX8DsNMkrZuXPnjqcA33kBuHXrFk8PIZy1Jjdu3OAeJfqRx+Nxnt5x9+5dmKbpugBEo1Ee5SFvnfMi4EyJcUaYaB8kDgDA481yXkgEAoFAIBAIDgvbGaTAg7p0Z8aQJD0Qg2o0Gi6D1bZtqKrKDbKNjQ1omubaPhAIcAf73Nwc+v2+a/tYLMZTrK9eveoRm3Km877++uueVHang/61115zzdEo+jg2NgbbtjE/P+8ak2UZ8XgcsVgMtm2jVqu5xiRJ4mJPdLz0+kHlU5+aw/d//x/g+vXvg9+vPHqDR7BTBp2oobsPqXY5Hyknu9frccU0Mqosy8Lk5CSvcyKvh3OhAu7V1dWHigdUq1WXeIAsy1BVlRt0lmXBsizIssy9VHRxAAY/xmg06vqRUa0CMEi/G/bIOI2ls2fPPvTHc+LEiYd+dnSc20GpBttBqQYCgWDvGFUbRI4VZ7TeybDC5vD2VHvqVEl04vP5eG3qqPHtFDiJYDAISRrURo4adyp0jhqnGjFd1z01So8ap8g88GBS5hyTpAf1kTThcuJMRaY09OFxyqpwptw5U5npuj5KHdSZsjc8IRtO2R7+Xg/y5EkgOGw8LE2SrgHb4axLHgXVaW4HiTptx4ULF1zXd5obOrcfDj7QMTPGkM/nPXNdui4xxvi1z7nIsoxYLAbTNEemy5LYk6ZpuH79OgC45qpTU1NIpVK8PnM4cpjJZBAKhWAYBprNpmtMURQEAoEdDRB89Vcfx4kTafzar/0V/tE/esuO7fdZObQGnfNmZ1kWj3CR8WPbNpLJJPx+PzqdDra2tjwG29GjR0fWORGUk91qtVw52XSSFItFfgNVFIVPVoYNplQqhVAo5PFaEJOTkzzcP+qke1aDySnsMApxMxfsB8MeTHqNnBWGYXgUNoEH5zPJ3ju3JW8gMKgPHE4FVhSFC3VUKhXPuN/v5wqaGxsbnv2HQiGeikzCBc5xZ+SahAuc44lEgt+Qb9265TGq0uk0CoUCbNvGjRs3XGOMMYyNjWFsbAymaeL69eueiTkJjThvjM51pqenkcvl0O12RwonzMzMcIXOUSqKx48fRzKZRKvVemhtaaPRGFkHc+bMGUQiEdRqtZHX3PPnzyMYDKJarY6sg7l48SL8fj/K5TLW1tY84y+99BIURcHm5iY2Nzc9429605sgSRI2NjZQKpVcY7Is4+WXXwYwyDogsSLCmTa1srLy0LSpxcXFh6ZN3bt3z5M1EY1GXVkXw20HEokEd67dvHnTY9SlUinuhX/jjTce6mX/whe+4PlsnGnwr7/+OgD3vaFQKKBYLPJzj6B1nGnwVJfs3L5YLCKdTqPf7/O6Y2eqerFY5DVYKysrnvFCoYBIJIJut8u/W+f42NgYgsEgut0uzwpxrpPL5eD3+9Htdl11x/SYTqehqip6vZ6n7pg+f0rpo7pj5zrUzoOuW8PjdF1z1hyLe69gr6E5plPgyQlFCkfhzBwbhaIo/Bo3Cp/Ph4sXL3oMPnKEqarKVYCdC/12GGPcGeicy0ejUYRCIXS73ZEG48mTJ131mU5jT5ZlzMzMIBQKod1uo1qt8jFakskkFEWBYRgwTROKouDnfu4deOc7P4bv+I7LSKUORlBi3ww6uuCRN7fVavG+SWSUpVIproq0sLDgMtYsy+ISzN1ud6SwRSAQgN/vh2VZ6HQ6/Mvz+XyunOBIJIKJiQnPl0ze0mw2i3Q6va3BlclkHmpUUbHxdmz3wxIICKfhQ5FW27ZH1hIEg0GoqgrDMNButz3jyWQSPp8PvV5vZK1AoVCAz+dDs9nktQDO8ZmZGaiqyiPTw0bZmTNnoCgK1tfXsbW15THYSPZ+eXn5oZPqlZWVh06q19bWHjqpplRlJ6FQiBt0pVJp5KSaDLp6vY5+v++amDmjKtQnzTkxc3pfnfWstL1zAudURBz1WiQScY1Rago9T6VSnnGKICmKwg1L5zpkDPt8PoyPj3u2p/FAIMCL/Ic/P3qcnp72TEjpxjyskjh8/LFYjKf4OI+RbtykaDc8Tp8POcmGoetzNpsdec11Tu7J8B8eAwaKgKTEOrxvYGDcDF/znePj4+Mje+g5x4cjgM6siomJCZdBxtgDhUwAXK3QifPcm5iY8EQAnZ/XxMSExxlANTRkHDnfG3hw7tC5NzzuPDed6qg07jy3nRM05yM9H47+UiQBAL+fD4/T96HrOlcGdq6TSqW4QTeqXUc8HufKw2RQOqGMm2q1+lTOBMrIWVlZ8Vz3nMrDS0tLvOWC0xgkY5+UhZ3jfr+fG+vDLRXod0ffablc9qhA+v1+LoTVaDRcGT1UE07nDzkahuusdiIC8rnP1fHbv72Bn/iJo8jnHx7JEhw+6FzbDlVVXdeeYUKhkEc92EksFsOFCxdcxh5l2wGD+1OxWPQEd+jc1TQNtVrN09/1woULPBvPee34si/L4gd/8BP4zd/8Zvh8PpTLZdTrdZdBSP+TJEno9/vcIKSxnYwc7ksN3blz59jHPvYxTExMoFAoQNM0XLt2zbUOhVlJJndpaYl/CPRh0U3dNE10u13XGD0XHjDBszAsBsPYoKWBU6FzeDwajSISicA0Tayvr7vGaOKRSCSgaZpL7YvWmZyc5L2ibt++7Zl4kSOj2WyO7GU17I0aZpRamPPmfvr0aYRCIVQqFayvr3vStU6cOAGfz4dqtepR4JQkCdPT01AUBfV63aUGRu9DhkSz2RwpP00GVafTcSlw0kITcbo4OvcvyzI3KpzRNec4TayH2x0IBILnn2EHEz1SOjE5jofXo3RfXdeh67prX4wN+l9KkoRer+eqYaKFaqDoujd8LNTCpFKpeFrhKIrClYvX1tY8436/n0dn5+fnPeOhUIi3wbh58+ZD+zNeu3bN01LBGR1+nBqsYYMwk8nwyM7Nmzc9ImWpVAqZTAaf+MQG3v3uW6hWGY4cUfDt357Ad31XFplMAtFo1FWDRcYkpTpTDZau655xcX0XPCnkWKIIIRlkvV6PXyM2Nlr4yq/8PfzP//ldOHUqi1KphEqlwsdpe3LmLC0tjXTmvPzyy4dXFOXy5cvsU5/6FJ/4MsbQ6/VcIU7xAxQAD254w4Ix5A1uNpsuBU/btuH3+7kHeWVlhQvSOAuEKe3txo0bLk8OYwzZbJb38xmVmuTs50OpSU6czYGvX7/uubFQ6pGu61hcXHR5OsmgiUaj0HUdpVLJdeOTZRmJRAKBQACGYaDVannGQ6EQVFXlamDDBpFQ4BQIBIIXl1Hp7hRBHRbcIIOSInSNRsNl8LL7NVbO3qOjnJyZTAaMMVcqOi3pdBpjY2OwLAvXrl3DrVsGfvVXu/jc5ywYBsOlSwH8+I+fwNd/fRLXr1/z/D9Ug9Xv913pwMSRI0eQzWbR7XYxNzfn0RMoFouIxWLo9XrY3Nz0iHak02kEAgHed3Y4MhkMBnlfQ8qiEbwY/NRPfQbdrokPfvAdI8eHI4BUf00ZiYwxjI+PH16D7kVTuXzecRpEdKGmEHer1XKpOtHJTQ2DV1dXeXNoZz61s1Zk2JvorDW5fv36Q2tNyGBzXsATiQR/f+ph57x4RyIRnn5C/WiGJX7JoKSUPKfBJiLDAoFAIBA8G4wxfPKTW/i5n1vCF77QgaoyvPOdcfzwD0/hTW8apPXatu0qrxmVNZNIJBAOh6FpmitrhsbJoGu1WlhYWPC0gHpU1gvVBg9nvdC84tSpUwgGg6jVaiiXyx49hWKxCFVV0e120e12XWOKovD6TDoeYTAeHGZnK/jrf/13cO/e9z/1PiTRtkDwNNCFzNnAtN/ve3KKKYJVqVS4R47GGWM4f/48gCfvuULpEVQ4u7S0xHuq0BIIBFzpJ8MtE/x+P6+PIWNu2OMmDCqBQCAQCJ4Pul0L//JfLuPXf30NS0saEgkZ3/zNOfyTf3IEx45FHr2Dp8SZyeIU5HAusVgMiqKg1+uh2Wy61NDvR2Dg8/lQq9Wwubnp2f78+fPw+XxYW1vD+vq65xioPnNlZYXXZzr1Hs6fPw9JklAqldBqtVxjzro06kk8XL4kdByeHtO0EYv9Asrl/x2RyPb1gQ9DGHQvMJR2SPn8nU7HlbNrmibGx8e5cMXGxoYrnxcYFHg/zgVkY2MDlUrFIxhD+fKNRgP9ft8jI0vpF5RrLwwtwWFllCANY8yjgEm1LNRwvtfrecYjkQhUVeW/2+E6HRID6ff7aDabnlqfbDYLVVXR6XS4o8S5Dnl6m80marWaaxwYpCYpiuJqnuv8P48fP84nBsPjAHidzfr6OhqNhmtbRVH4+MrKClcSpH34fD4+vrCwgHa77do+GAzi5MmTAAaOIGedETAQ5aDI++zsLHfm0Liz19LNmzd5nRORSCS4UMv169c9oiSpVIrXKV29etXzv2ezWS4m8sYbb2CYfD6PQqEAy7K4QqmTsbEx5PN5GIbhURCVJIkLrWiahrm5OdcYMFCJTCaT6PV6XCHUeT0dHx9HLBbziH7QOuPj4wiHw+h0Oi7RDuf+g8Eg2u22SyXSeXw+nw/tdpt/984a1Hw+D0VR0Ol0uGgHjVHamizL6Ha7HrEhqo2VJAmapnlSxYEHoiw0oR5OJadJKWNM3GeecxYWevjZn13E7/5uCe22iYkJFe9+9zi++7snD7WYyrBSOy00n2q1Wq6MJjIY6bq2traGWq3mcs4rivLQpuZ+vx8XL14EMKi/7Ha7UFWVG3okJAIM5nt0rVdVla+33xHDft/ElStV/Nf/uozZ2Tr+3b8bnf64W1y+/Bv4zd/8G3jlleJTbb9TBt2hbVvwvEBFvKZpupZkMolAIIB2u43V1VVuqFHOLYX4KUWAoBtbLpfjP7hQKOSqT3T+ADOZDOLxuMdgo/FCofDQvieJROKhfVOcSnWCFw9nrQSl21KtRrfb9dRS+Hw+PnGrVCqe8XA4jHg8DsYYb2jvXCeRSCCdTsOyLJfgDC3ZbBbZbJZPqofHJyYmkMvl0Ov1Rk7KSda/2+3i1q1bnnESrOl0Og8VrOl2u9sK1vh8PnQ6nZGy/YlEgqfmbCfdDgwi16Mm3WSkmKaJXq/nmbQ7vzen9PrwuFNcxik4Q5BwkHPcqeIYDAZdBpMkuXtrhsNhTy21U8UxFovxnnXOfTo/p2GDzdm+JZFIeFQgncqMqVTKY9A5VSKTyaRnnN6fjJPh8e1UIAF3uw5njbBznD5fp/FCY8PrDrfLcD5alsVFO5yv0+dhGAY/d5zrZLNZro5L557zvTOZDBRFQavVGqkimUwmIcsyarUaNjY2PONvetObAABbW1uevq2SJPHx1dXVh2aF3Lt3j09aydgLBAI8K2R+ft6jEhkMBrkzYHl5mRucznHKGllfX3eJMdG4sx2K0+CkrBL6zoffm+qa6ffhVAAXjGZmJoSPfOQMfv3XT+PP/qyOn/3ZRfzkT67gJ35iEefPh/ADPzCJv/t3i4jFDtcUl+Ze282bYrHYQ9sKjI+P8/OUcP5GJycnea3iqGt8KBTirxuGwYXHiNXVVfR6Pc8xkaNubm4OlmW5DL5wOMw1DSgbiwzBp8G2GW7fruMv/7LEl+vXa4hEVLRaGr7hG4481X6fhXPnsrh+vfTUBt1OISJ0O4xt2zxFUFVVmKbJZYKpWS5F0JLJJNrt9sh+T86J4erqqscjkk6n4ff7+T6dxppAAMDj6aPfOk0sWq0Wb3DsTMUlNbbNzU30+32XweT3+7mc/fz8PO//6IxAUWPTUWppyWSSj1+5csUz6Xaqpb322mueSXcul+NRlNdee22koAz1cZudnXV5+EltLZ1OwzRNLC8veyZWyWSSN0Dd2trybB+Px7mybr1e90QRIpEI/106FTxp+2AwyCN4FL12jpOallMAaDiSIRAcNJxRse0MShJjIsckjTkjsAB4hG44ek11ze12G5qmucbotw8AtVrNozJJfWOBwXWNouejrmtLS0vodrseRxJdl27fvu3ZPh6P8+jyG2+84YkOO3sEvv76656WE5lMhkdZvvCFL7jS/Cj6SdHh69eve1QcqXWSZVmu6xqNJxIDlUjLsnhLBOc+gsEg/H4/b4XjzKg5LJk1nY6F3/mdTfyzf7aC2dkuAAtvf3sC73nPJL72a/Pw+4WB/KxQ8MEZYFBVlRtsCwsLXDOBxlOplEsBlc59cmRks1luhK6srEBVVfh8Pv5YKhn4whdq3Hh79dUScrkQvviLczh9Oo6rVyv47/99Gd/zPefxvve9hEwmOPrgd5Gf/uk/R7ut40Mf+mtPtb1IudxjaAJGSyAQ4NL0c3Nz3FCjk5U8IdSSgQwyOlHz+TyfODYaDW6s0TrCO/d84SzCpomNrutcUcy5ZLNZSJKERqPhysenSRKlna2vr7uiWGQAUD+j+fl5Tx83n8+HS5cuAQDu3r3rSpsD3H3c5ubm0Ol0XIIvoVCIX5xXVlagaZpnnBpvl0oll7dZkgY9aJyNvwF3PyNVVXmfmlEKncKoEQgEBw2nQUtZNMOp2nRda7VarqwFxhifTwADg3N4PBqNIplMwrZtLC4uejIfMpkMstksTNPEzZs3PdtPTExgbGxsWxXI6elp5HI5dLtd3Lx50zN+9OhRpNNpdDod3Lt3j1+vaZmYmEAkEkGv18PW1pZH9IN6AOq67qmZp89mJ6/ri4t9fPjDq/joR9fR7VoATHzTN+Xw3d89ibe9LQVZFveQvcL522g0Gp5sNFJAtW0bf/7nn8e1a21cv969v3TAmIy3vGUMb35zFsViDy+9lIIkKfjIRxbwiU+s4F3vOoUf+ZE3I5cLuTIZ9pJPfvIW/vW/voLf//1vfqrthUG3C5BASL/f5402GWO4cuWKx6OWz+cxNTUFxhhmZ2fh8/lcXoVIJMJTdJyypYLDA3krhxvaU9pbp9NBtVr1CMrMzMwgEAigXC5jZWXF5a0GgIsXL8Lv92NjY2NkatLly5ehqirW1tY8N0dJknDmzBlIkoRyucwLoJ03WPJ2kcKoc1tFUbigDHnBRc8egUAgeP5hjHna+JBKpM/ng2ma3InoHE8mkwiFQuj3+9jY2HCN2baNyclJRCIRNJtNl0ok3fdG9T51cu7cOYRCIZRKJSwvL3tq8o8fPw6/349Go4FareYR9MhkMpBlGZqmcdEP2sdnP9vGr/zKKv7TfyrD5wN8Phvf+Z0FfOd3TuDSpdihv99pmoV6XUc+HzxU/4umWbhypeJKnVxd7eJNb8rglVfSePnlFC5fjuPEiRTC4TBM08TS0hI+9KEb+PjHV/FFXxTDO96RwIkTRaRSSei6juXlQb9qn28wDw8GB/P4YDAAWZYgSaQ+Ong+6rXtn9P6kuf5/Hwdf//v/z7m59/zVJ+FMOieEsYYTyMjj9idO3fQbrdd6V3OFInV1VVuqNHi9/uFkXZAIY+QbdsewRjLsvjNqdfrYWVlxTN+7NgxJBIJ1Ot1lzgBcerUKcRiMdRqNSwuLnrqD48cOcLrH6kJqvMGlUqloCgKb1A77K101hoJBAKBQHAYoUghOQpN0xyZlZJMJrmgDrUdGHaSqqqKra0tbG5u8tdp/jpKBRIA+n3gc59jCAQmIcsSPve5LfzpnzaxtmZBUSzE4xK+9muj+PZvP45Tp8IwzR58PhuxmA9+v/rIUhbbZrAsBtMcPDqXUa95X8f912zX36O2N00bt261sLjYwcpKD+vrPWxs9NFoGBgbCyIaVfAlX5KHbQOGYUPXGQzDhmEMtnU/Ptj/4Png/T/+8Vfw1remd/w8sG2G2dmGp+7t1KkEvviLc3w5ezYJVX34vPpDH/orfPrT8wgGZVgWpWVL9/vuGrAsG5ZF548Nvz8ARVHvl0H0IEmUQizx54wBjA2Oc/CcPeQ5nde0/uD5W99axO/+7t96qs9HGHRPQLVaRbPZ5OpalBN/9uxZAIPUMcYGKmu0CDGP/YeM7+Gc7Wg0img0CsMwMD8/z8fIIKP0kUcJW5Ba3LBgTCaTQSgUgmEYaLfbLk8gFSwLY15w2CEHlrNWySm4QRFcWgcATwtnjPHieOc6fr+f1+KQiifBGEMoFOL9olqtlmsMGNRRBQIBHilwwhhDLBaD3++HYRgeFU0AiMfjPLVreHsALhVRp8omkUwmoarqtuPkjOn1ep7+mDQuyzJ6vR7/fJxe82QyCUmS0Ov1oGmaa4xqNIGBqM2oGktyQlKdyrBQDYmpOBVYnduTs4i+e+eYQHDYIKOP5muapvE2TJ/5TBfvfW8Fr7ziQy4XQr9vo1brod3WUa/bWF+3sLVl35+gAz6fBNNkYGwwwR/AMPhpMP43QNdLxscHERtAkhhkGVAU8EdFGYxHIjZCIUBRJNeiqpLntVGvyzLwe7+3CkkCH/f5ZPj9MhRFQrOpw7IYisUQAgEZPp8MVZXuLzJ8vsH6w49+vwS/f7D+D//wyR1pAbG62uGG21/9VQmvvlpGJhNwGW8vv5xFOLz7zmtyKHS7XZTLZZ6FR9dXig43Gg3U63WEw2GEw2GEQqE9m+ftlEH33IQCLMviTRm73S50XefNp6kWKRwOI5FIIBQKuRTLJicn9+uwXwgYY7wGkdIhqAB+eXnZk1OdyWQwPj4OxthIg6xYLCIajd73rAzU4ZxKnrTvQCCAU6dOeQw2mryEQiGcOXNm2+P2+Xy82Ffw4uGUhXYudO3o9Xp84uz0RJN4Q6PR4OINTnEGqjHc2tryiDc4ezAuLS15xB/C4TAXb7hz547H6IrH4zhyZKDyde3aNX7Tov07xRdef/11lzEEPBCdYWy0NH+hUMDExAQsyxpZazM+Po5isQjTNDE7O+sZn5qaQj6fh67rI6PfFN3WNA3z8/Oe8WPHjsHv96PX641M3Tp58iT8fj+63S6X9nfiVBEdNU5tJVqtFpaWljzj1G+q0WiMTJdOJBKQZRnVanWkkuPLL7/M06UfpuRI7WKcKIrC62NXV1d5WwrCKT++sLDgMWiDwSDvH0pZKcP/O10Pb9265VJ6pP+d6mfv3LkDwzBcBmEsFsPExASAgdLkcGuBaDTKBZdIwdU5HolEuGKyU5DIWZ8bCg3qZFqtlidNnEoe6H4j6m6ff5yK3MDgnt/tKvgn/2QVf/RHTfzqr87gb/yN7VW4bZvhz/+8gX/1r9bxH/5DGW96UwTf+I1JvP3tYUgSQ79vwbIkRCJxGAawvl5Cs9mHptno9030+zYsS0U6XUCvZ2NxcQPttgFNY9A0QNOAclnBa69ZeO97x/Ft3za4pzg1E0KhEC+DIIXI7dl+zs8Yw8///DX8y395E//u330FvuRL8k/8eT4NjYaOV18tuaJvum5zw+0f/+OL+KIvyiGb3XuxEuCBsyocDnNBNeCB2i+pE2uaxhu/03bBYBBnzpyBLMswDMOl7nwQeS4MuvX1daytrfG//X4/wuEwr107cuSIiKjsEpRCYRgGTyH0+/180nr9+nXeL4pwKhmSUiCltDqNbVmWcezYMZe6p6qq/LtUVZUb7aOQZfmhEr+Cg4dzEjhIodBd9RjUk4f6WZHAgHN8fHyc91qjnjxOo+nUqVOQZRnr6+solUouAQHggXz68vIyv7gTzkn1+vq6Z1Lt8/m4QVcqlTyiM8FgkP82Go2GSwmT0oQJijg7x4cnL+SgcDopiHQ67YrESJLkku6nyTeNO7eXJIkbfqPGFUXhPeuc4xQhGv5t0jgJQwQCAZ4h4Zxs03goFOLGh3Md8sRHo1FuvDihCFQ8Hufjzv3TeCqV4tGwUdtnMpmR7Vjo/XO5HNLptMcgppv92NgYMpkMf53Wo+/POT4qS4Z60jm3d/4fhUKBy+QP75v2T84oGndORHK5HBKJhCe6SiSTSU+fRWdbiEAgwN/PKfxBUNaE83fnzHoZ9bvM5/O8ncSolh1OZ8KoliATExMoFAowDGOkM4IyN/r9PmZnZ13GoCzLKBaLSCQS6Pf7WF1d9dQWZ7NZhEIh6LruSqWndaLRKFRV5det4dpmMQfZXRhj+MQn6vjBH1zBN31TEtevn0Ms9vDJtyxL+PIvT+LLvzyJdtvEJz5Rxm/91gZ+5mfW8ff+Xh5//+8X8NJLUcdv7+HziV4vwR3T7baOn//5Mv7H/2jhN3/zBP7O38nizp07vM6PdBlSqRQ36N544w0unEZzomQyyR0hjUaDl/wMl2ZIkoQf/uGLuHgxhb/1t/4EH/zgm/AP/+Gpp/gkt0fTLFy9WnUYb1tYXu7gTW/K4ou/OIdv+ZZj+OVffgtmZqKu69VBRFEUV/uYfD6PfD4PTdN4BgZpEACD+UCtVkMwGEQikUChUDhw5TE7lnIpSZIC4FUAq4yxv/GwdZ815dK2bWxsbCCdTvNGqO12m4dKD9qHfJghg40UGelGRVHNGzduuPqSUISC6g/J0HYqfPr9fk+fJcHBhwwrmpxYluVqckpLIpFAIBBAr9dDqVTyNEGdnJxEOBxGvV7H0tKSp4D+7NmzCIfDKJfLI6Mo58+fRzAYxObmJlZWVvjrNIE6f/78fbnjEkqlkmtSRk4CiqKQp9+5jlNUZrgflSzL3GCjdODhcTq36f8VkQKB4MkYpRQ5EDvwgTHG03mdzphQKIRgMAjLslCtVl2OHsYGPSojkQh0Xcf6+rrHoBwbG+ON2RcWFlzCH4wxHD16FIlEAo1GA3fv3vUcs7O2elSPSeodW61WsbKy4qmdnpmZgd/vR7PZRL1e94xns1ku/OGsvaZSgBd53rO6quP7v38Zt2/38dGPHsGXfmn0mfY3P9/Dv/k3m/it39pAPK7gXe8q4H/738aQz/sfvTGAz3++je/4jlmcPh3Chz98fOR2JFADPHAUbW1tudpbGYaBZDLJW/G89tprfHu61+TzeWSzWTDGUK/XEQgEMD/fw//6v34GX/VV4/jlX/5i+HxP7kywbYY7d9x1b9eu1XDyZNyVOnnuXOqRdW/PA61WC+12G51OB81mk8+DqV3Ks3DgaugkSXovBvHg+G4adHQxNAyDe+QEz4ZhGDz3nPLPKW1rWNpeVVVEIhEund9oNFy1My/yTeUg4qwtpIXqRC3LchWY02M2m0UymeSebBojqAbxUT0UW60W7t2751Ico4tgOBxGp9NBuVz2TFzS6TR8Ph/3lDm93JQGIcsyn2gdlj5JAoHg8DNs6DmVIknsigxOp6Mrk8nA5/Oh3W7zdjPO5ejRo/D7/SiVSlhbW+OvE0714/X1dc9xvfzyy5BlGWtra/y66hTsont2rVZDr9fzKEVSRJqMDGd5wkHFthl+4zfK+PEfX8f3fV8WP/qjBQQCO2dc2DbDn/1ZHb/1Wxv4D/+hjLe/PYl3vauAr//6zMi+drpu46d/ehkf/vAm/vk/P4q/9/eyO/YZUt0yZUKRYZ9KpZBOpz0tKTodhve/fxm27cMnP/lOpNM+9Ho9BIPBkfO0tbUOr3kbPJaRTg/XvWUQiQh9CRLUSyQSPOPmWThQBp0kSZMAfhvAzwB4724YdJ1OB8vLy+h0OryOhMLUgkdj2zY32DRN401Wl5aWUCqV+Ho0YT579iwkSUKr1YJt29xgO8j5w88jzkaetPj9fsRiMTDGsLi46DHYMpkMisUiLMvC66+/7tlnsVjE+Pg4DMPA1atXPaIvY2NjSKfTMAwDa2trLoNMURTEYjFuEI7qKXQYJgICgUBwGHD2LwXAJ/TkgCOHG00sa7Uabz3gVIOkFOiFhQVPfaaqqrh8+TKAQf/Rer0O4EGNWigUwqlTg/S99fV1aJrGSyAUReFtngBwsZ+HqUPuBLOzfXz3dy9B02x89KNHcOFC6NEbPQOtlolPfKKE3/qtDdy40cW3fmse73pXAS+9NEjDvHKlg+/8zjuYnPTjIx85jvHxvc1CIhE5Z0ZVt9vHb/xGGZ/4xCo+9rEvRig0mOv1esDduwZu3uzj1i0Nn/98Bf2+5TDe8viiL8oil9vdz/R5oVwuo1qtYmpqylX28LgcNIPu9wB8EIME4/eNMugkSXo3gHcDwPT09CujUqkexsrKCqrVKiYmJly1BYKHU6vVsLa25qljo15orVaLe21I3VNMxncWSq2ghQQCgIG4gdNoM00TsViMR0hff/11Tw9Ep7DF9evXXTdP8rRSfY/TU0uLiKQKBALBi4szekip4TQRbTabPFOHFkVReJnF/Pw82u02HwPcgjrDZRiqqiIej/O6eVIVpxRaVVURCARc9b0PwzAYfvEXN/FLv7SJ97+/iPe8JwdF2ds5y9xcD//m32zgt397A8mkire+NYnf+70qfv7nZ/Cud+UP3Bzq//l/5vGe9/xPfMmXpHDrVh0rKz2cPRvBuXNhvOMdx/BlXzaJWEzD8vIynwuSSJGzdlYwmkqlguXlZe5YIeGyx+XAGHSSJP0NAF/HGPs+SZK+AtsYdE6eJkJnGAaPFAi82LaNZrOJRqOBRqOBY8eOIRqNotlsolQqcbGRYDDoKmgXPBuapvEiZ8Mw+HlKEdA7d+541Oai0Sj3lt6+fRuGYbhEXyKRiMvbOmyw0boCweMyLFzh9Nw72xbQzZvqA52iGCT8AAzqCZwKmsAgRYu89NVq1bO93+/nQh5UK+LcPhgMcmfd2toanyzSeCQS4eNLS0uelgqxWIyPkwKm8/5Gjg7btkfWZqZSKSSTSZim6arNJNLpNOLxOI9cO5EkCel0GtFoFLquu3ph0eQunU4jHA5D0zRXhMQ5TgqfJBblHE8mkzwVudPp8DGniqSiKDAMw1P7CQyEZkhsyCm2Q/sR1xTBk0KKok7Rm2azySOI5KQMBAIYGxsD8EBB1emodAqlXblyhauWksGXSCSQSqXw6qsd/IN/MI9CwYcPf3gax47tbwTJthk+85k6FhY0vPOdKUxNHVxtgHv3Wnj11S2cPp3E+fPeurdut8vTcSm1EwAuXboEn8/H5ykHzVg9KJimiRs3bsCyLFy6dOmJrqcHqW3BlwL4BkmSvg5AEEBckqR/yxj7th3YN4BBvurs7CyOHDnCJwyCAbquY2lpCc1mk3u9SAUQGKi9jVJzEzwenU6Ht8EgJU8APP1keXnZVWNI8ttk0FEhPt2YSBSGeJhKJwDRNuEQMazQaRiGp9YmFovxPmUkKOMUbygUCpBlGfV6ndenOsdJWXJrawuVSsVjkF24cAHAwOBxjgNuhc7FxcWRCp2XLl0CMPCij1LoJOXJtbW1kbL3dH3e3Nz09GmLxWIug264D1symeQGGRmEgFulksYppcw5RhNKkrUf3pYiECSqMQwpnjHG0G63PeqTTmlxut6OGjdN02Ww0XrRaBThcBi6rmNjY8OzPfXgo/qMYUKhEK/BGtWygfopkdjQMBcuXEAgEECpVBrZcsFZo7WxseER87lw4QJkWcbGxgaq1aqnbcDJkycBDNKP2u22a1tFUbjYELXzcAoV0X0LGDgTSHzJWT8rDM6DBylUO3nUfIMiec7MFaeDOZvNuhykvV4PpqniZ36mg499rIr3vMfA136thlrtBl5/fRDlGxsbQzabhW3bqFQq8Pv926pB7iSyLOErv/Jw3KOPHYvh2LHtVTpJVJCgWlC6ri4uLqLVaiGRSCCTySAejwvjzkGn04FhGJient63a9WONhbfrQgdYwy3bt2Crus4d+7cC9/0u9PpwDRNLjt969YtRKNRJJNJ3p9N8Hh0Oh20Wi1X3rlhGHjppZcgSRKvMXR6DAOBAPcm0qScxsSk42AxnFpE39FAVrrtESZIJpMIBoPo9XrY3Nz0GGRTU1NcoXNxcdFlbAFPr9BJkDd0c3MTm5ubnknz6dOnIcsyyuUyj+I4F0rFrdVq6HQ6HgVO8pKTF304QkPCCN1u16XgCQwMQjKKqD+ec3v6jQBwed+H1xG4oXOHPhtnCw2nQU7e8eGWALQeiQVRhM45xhjjjj5yJjjHGGPI5XKQZRnNZpO3A3Eu09PTkKRBD71hZwPwwDm1srKCWq3mGlcUhTsLnDVahLOH3qishlAohHPnzgEAZmdn0e12XQZfJBLh5/7y8jLvGeWsASNnAB2bc5yu68Dg3BVCSweHT3+6ie/5niW85S0R/LN/NoFQ6EGbJHpMp9NIpVIeYRBgUAc4PT2NTCYDwzBQqVQQCAS42rYoP3g8SH21VqvBNE2oqopCocDvKbsNY8BLL1mo1UykUgzhMBCJSIhEHjw++rXB8+HXVHVnfuvNZvOpAigHJuXStbNdTLns9/u4efMmotEojh079sJNnBlj2Nra4p3unTc4wfb0+31eE0Dpkbqu48KFC/D7/djY2MDq6irP46eLfLFY5JMjAC+8E2GvoQJvpwKnZVnci2iaJlZXV12F/7Zt8/5bvV4PN2/e9ERBnkShc2FhwTXpkySJK3R2u12Uy2WPAicp2Q0K0ruelgmhUIi3fHBG9MQEUvCi4HSgjEr3JU+30xmjKIonujusMEl9Fefm5niUj5ZYLMZVHq9evcqv60QqleKtdqhu2fnbz2QyPMI4NzfnUZCMRqNcqKrVankUJF+0+cpOUK2aeN/7VvHHf9zCr/3aFL7u67ZvEE5Q1M9p7JESZCQSQbPZ9PQwlGUZx48fRzwe5/MFus+I0hQvjDE0m02Uy2VEo1GMjY3Btm1Uq9UdkfB/GP/iXzD85E8CP/RDDF/2ZQzdLtBuM1SrQKXCUK0y1OsM9TrQbDK0WoPxbncgBNPvA5rGYBiAaQKWBdg2cPq0hFu3ni59lzJxnqUV14E06B6Xp21bUCqVsLS0BFmWceHChRdqkl2pVLCwsIBoNIpMJoNUKiVuEg5IcZFSJAuFAkKhEKrVKubn56EoCgKBADfaxsbG4PP5eC2JuHDvPFRb6BR8CQaDiMfjYIzh3r17rsJ70zSRy+V48+BRCp3j4+MoFoswDAM3b950TaxkWUYul+N1UJubm55eTZFIBIFAgKu+Dit0ivNAIHi+0XXdE5lXVZWnm21tbfFrEo1Ho1He6+vmzZseRxI1PTdNE1euXPG8p/O6dffuXVcttKIo3OCg3p7OmuoX4T7PGKDrgKYB/T7DJz/ZwAc+sImv/uo4vvd781BVBZoGvtC6tPj9g0hMPO5eEgkgFgOcQThq/O6U/s/lcvfTkcu4d28RjAG2LcHnCyIUCiObLaLZlFGtWqhWbdRqFqpVC/W6jWrVQqNho1az0WgMXiuXLWxu2vjRH83gb/7NKGybjAfmeA7P6w8be9LXvWNP9vqTbKNpBjqdLgKBCGRZGbENG3GcD399u//NMBRoWhSSZECSunjb2/z4q7+ykUhIiMclJBJwPB/92uD54LVYDIjHJcRiT3bvb7VaKJVKvGfkuXPnXOU0T8ILadABg1SgZrPJ+8+tr69DVVWk0+nn+sI3OzvLI0uCB/R6Pdy7d8+l4un3+3HkyBHE43GP5LPgybFtmzc6lSSJT3xIvtqp4PkkCp1Og4wmL7FYDMlkkjdJdXq4qXmuMLoEAsFBwZkyyxhDt9v1tJKJRqOIRCIwDIO3mnG2o5mamkI2m0W328XNmzdd+5ckCUePHuWZB5RRoqoqr82Ox+O86bpT/GgUtu01iLYzlB62jFx3xGuPs0/DAHw+wO9nMHQbNrORzymIJ2QEAkAgALz22iCqKsuALDPIMqDcf84YYFkSLEuCbTsXgDFK+WaQJAbgwfIgQkz9/ui5c70Hf8vyYD+yLEFRAEUZPKrqIG1PkoBu10anw5BKySgUFPj90v1jBhRlUHf34Ln3de/Yk73+NNs4X3ePSSOO0/u6JDEsLs4jFotgYqIwYl8P/5+f9LNoNoHv/V5gcxP4nd9hOHp07+YEzWYTy8vL6Pf7UBQF2WwW2Wz2mdRAD5Ioyp4yXLjZaDTQ6XSwurqKfD6PfD7/XE7eyfv3okI1T61WC81mE+l0GsVikadIkoJcJBJxff8i6rI9zjoEWiRJ4oIud+/e5X0ICadCZ6PR4MpXJPbi7MEyMzPDi+ZHeZvPnj277bFJkiQEYQQCwYHHmSpNoljb4fP5eOrnKILBIE6fPg3THESA1tZtbGwA165HUK0CzZaM27fSPJJlGBIMXYLPL8GygE7HRLOpwzDkwZghwzBkWJYCTZPup5tJ8PsZN5QCAQmBwCDK9eC1bZb76zjXjce3X/+x9hkAVHXQIPz971/H+/5xFj/yI94G4f/3/21gZcXG6qqFlRULGxs2trZs1OuMR+fC4YFRKMsDI8wwTHS7FlotG40GQzCoIhpVEYmoCIUUBAIq/H4FqqrcT3tXYVkyTFOCrkvo9yV0uxLabaDRkKAoDJGIhXDYQiQyWBIJCfl8BPPzGq5e7eHy5SC+4RtCmJxUPBFDihoGg8DzlmG/uBhCtVrGpUvjux5ciUaB//gfgV/4BeCtb5Xw278NfM3X7N77Ub25z+fjjuWZmRmkUqkDNb88dBG6UXQ6HWxubqJWq0GWZf5BC54Pbt++zRX1SDo9m82K7/gRUPqps5YAeKDQeffuXY+SobOf0ObmJjfYyBM8bLQJnl+coidUmzIslEEtUEzT5EIcziUWi0FRFGia5lKOpEfKrKDMC+cYYwxjY2NQFIU7cpz3K8YYJiYmQKqgw0IaADA9PQ1goJpJypeEJEl8vFwue5Qvnb23SqUS761Fn4mqqtz5USqV+O+Lxn0+H3K5HIBByjw5TGgdZzPmer3uaSXg9/u5ceBUFKV1nIq5VBM2LIIjOFhoGrCxcX/ZfPij3w8UCkCxMHgsjAEzRwBZemAs+Xw2VNVCOKwgFJIhSRp0vQ1FMSHLBmTFgAQDp04dQTweQL2+ia2tFZcxoaoqzp49C7/fj2aziXa7zVUiqUxhN+t7r13r4Vu+ZQmaxvDN35xCICCjVhukMlJqo/Nv2wbSaRnptIJUSkEyqSAQGGRx2PbAEOt0JDQaQLXKsLlpQ1UlTE/LmJlRMD2t4MiRwTI9LePIEQWFggxZfvj/yNjg+2s2gXqdYXOzh9XVLv7gDyz8/u9LOHYsgEuXNPh8CnQ9AE0LoNv1odmEZzFNr6H3pEsiMRD0OCiGIdWlU536XvGZzwDf+q3Ad3838P73DyJ6O0Wv1+OK0plMhmcf7TQvbIRuFJFIBMeOHUO/38fGxgaP4DUaDdTrdcTjccRisUMbubMsC7OzsygWiy9E2wZN01Aul3mReyQS4d9hJBIR4hH3IVnhUYIvkiShUql4FDqdOd6FQgG5XM7V78f52e6VepVgNBQZlWUZjDH0ej2X4qZt27y3pGVZKJVKrjHGGFKpFGKxGDRt0DTWKURh2zYmJiaQSCTQbrcxNzfnUe08fvw4kskkms0m7t696znGU6dOIRaLodlsYn5+3jN+5swZRCIRtFqtkaqfZPC1Wq2RUvrZbBaKoqDdbnPVT+CB0URCFdRDyYnTYOv1eh7nhdPg6Xa7nnHn/aLdbnsMThJPAgYGmdNgZIwhHA5zg25ra8vTxoGUiQFgdXXVlTYODFqeUDTn3r17DxXyuH79uie9OZvNutKfhxVTs9ksFzS4e/euS7xHkiQkk0kkk0nYtu1SXKXxSCSCYDAI27bR6/Vc45RK/SJcq20bqFQGRtj6I4y1TgcYGxsYZ2SkFYvApYvAV3/Vg9fHxgbRpkcj31+IwP1lNJFIFtlszJWVQU47YHCer6+ve7Z7+eWXIcsyarUaNE3jzad3wtjrdhksS8ErrwRRrdpIpyVMTKi4eDGAVEq5b7g9MOBCoSdTy2WMoVZjWFy0sLhoYWnJxuKihb/8SwNLSxYWF23U6zYmJxUcOSKPNPimphQEgxKCwUF0LZcDrl618IEPtDE9reLTn87ilVeCWFtbQ7NZRbfb5cqyMzMzHr0HXQdaLaDR8Bp7zmVu7uHjvR7u14A92zJQenw24zAajSIUCqHdbu+pQff2twOvvgp8y7cAn/0s8PGPA8+qzbK6uupywmWzWV7mdZB5LiJ027G1teVqUEuGQbFYPFQ3Gl3XMTc3h263i7GxMUxMTByq438SKpUKlpaWIEkSzp8//0IJ34yC1B57vR5/PHLkCFRVxfr6Om9w7PSmTk1N8QbDADyGmmB3cDbTJcEEn8/H+5Otrq66hBRs20Y8Hkc+n4dt27h+/ToXW6Dr8qPEFiYmJlAoFKDrOt544w0AcE3KJycnkclkoGka7t2755rQy7KMfD7PDT6atDu3T6VSCAaD0HUdjUbD0yaBHGXOZtZ0DJIkcSl9qhkaHqdJPxmZwwbb88Jwv0D6Xyk1iZTSnOOyLHPlNGfPQlp8Ph+P4FUqFc94KBTibSiWl5c9PQ2pn5Rt27hz547LWcAYQz6fx9jYmOvccjI1NYV8Pj9SKh4Ajhw5wuvC7ty54zH2isUiYrEY+v0+SqWSR8AokUhw4Spd1131tntxfrTb7mja+vpoQ61UGkRLnEZaoeA22Oi1VOrgRFS2gzHGszqojQ9NZhcWFlw9FsmwpzR8aiex21G9nabXY1hedht8A2NvYPCtrlpIpWQcOSIjGARu3+7D52P4ru+K4Ru/MYwjRxQkkw8MTcuyUKlUsLq6ylsm7AamOThPm81HG4cPWyKRwfk8KlX2Uc99Pga/nyEUkqGqNgIBIBSSn2gfzufDr/n9g/q5x/ksfuzHgH//74Hf/V3gLW959DbUc7TRaKDb7fLspdXVVWiahng8zq9Du8kLK4rypFAT2WaziWazCcuyeHPcarXK01oO+sWHMYaVlRVsbW3xiOTTKuocRCzLwtLSEqrVKqLRKI4ePfpc/X+Pg2ma6HQ6CIfD8Pl8qNVqmJ+fd6WZBYNBHDt2DKFQCLquc+VIkV717PT7fS7+QkaZqqr8Zry4uAhN01xGWywW41GSK1eueOpc0+k071lIBplzYptOp3kk1NkmgSat0WgU0WgUjDE0Gg3XthR5Je+6sw2CQLCTDBuD1EpAVVWuzDisHBmLxRAKhbizwNkP0rZtjI+PIxaLodVqYW5uzmXQAsDJkycRj8dRq9Vw79491/FQT8ZIJIJGo4HNzU2XgJKiKLyenjIXFEUBYyoqFQWlkuIyykYZa7Y9MMacKY+jHsfGBoIeLwqWZUHTNO5kZIzx1OSbN2/ydi0UxYvH47suZ7/bWBbDH/9xHx/4QBXz8zbe8Y4IkkkVS0sPDEDbhifCNz7OcPy4H0eOKIjHe4jFDu5cc6BW6RaxedTzVkvH6moJpqkglSqMXOdJ9jfqua6TYM7jGYW1GnDlCnD1KnDfPvNAqZT1ep07Gqkl2n5k8gmD7ilxeoGpH43P5+PpJdFo9EBPjmu1GhYWFpBIJPhE8nng1q1b6HQ6GB8fR6FQOLAXvZ3ENE1eu9PtdnkNDuWg9/t9VKtVBINBhEIhXq8kGA3VeTkXxhjvX7W+vo52u+1SmPP7/Vychc5BJ86aQkp7c04aw+Ewn6zUajUe3aIog9PgEggED4cxxg0+UrQ1DAPtdpsbgzSez+fvO77qmL1TwuamhK0tGaWSjK2SAlkuolRSsbikYXXNRqWiotVSkUoZyGRMHD0SRLEoI5nsIhrtYCxvY2wMKBYljBdlHDmSgSxL3EnzoqSQPgu9Xo8vlFESDof5XOX27ds8skwiZgf9njY/b+D976/gj/+4ix//8TS++7sT8Pu950G9bvMUzsVFC/PzFu7cMbGwYGF11UajYSMSYYjFZHzLtwTxi7/46L56B5lqtYrFxUXIsoyjR48+VUPtx4FaWjyJsVirAd/xHQ/q6WzbRqvV4mnCjUYD9+7dQyKRQCqVQiKR2Lfz8H42xuGtoet2u7h+/TpCoRCvAYlGo3uSXue8IJ8/f57X2VG9EaU42baNer2OWCx2oNL+UqkUQqEQT9XpdDo8Z/kwTxzHx8e54MnzimmaaDQaUFUViUQCjDGsrq4iEAggGo3yGxzVgAaDQV4jJAD3CjuVOS3LwvHjxwEMIlzVatW1DbU0AcCjb9REnnoTElNTU2CMeTz9xKMcKEKkRyB4NkjsBRjUBw1SHn3Y2Ew9pDYtiXA46Yme5fOD2rRcTkEqZSKb6SIeNwAMHDrj4+OQJKBU6qBcLrsi89UqMDMziMyvra2hVCoBgEsciuobW60Wdw6NqkV+kaA5nRMKGlAKeqfT4fWusixjYmIC+Xx+z4/1UZRKJn76p2v4+Meb+MEfTOLDH56BJAErKya2tgZ95gaPg4Web23Z2Ny00GzayGYV5PMyXnlFQTxuwzTbUFUFb35zbL//vadG13XcuXMH/X6fR7V2c44sSQ8icLHH/Nhs20atVkOn00Gn00Gv1wNjDMViEePj44jH47h8+fKeGnFUPkMpybquY3Z21lP7/CzsS4Tu8uXL7JOf/CR6vR40TQPwIB9f13Wsrq7yC0MoFNqT1DvbttFsNhEIBHhh5+3btwGAG5yxWAyJROJA9btbW1vD+vo6JElCOp1GPp93tXU4LNBE+3mk0+lga2sLtVqNR4woDc+yrAN1Pu0nvV4PzWaT122Q4XbhwgXIsoyVlRVsbm4CgEvo5fTp05AkCY1GA7qu8zYKzl5NAoFg/7EsoFx+PAGRXs+r8jjysTAQqtgpKNJP1412u41utwvTNLlTiDHGDbphtWDq1UmR/XK5DNu2eYsdv9//wl/zqbyg0WggmUwiHo+j3+9jc3MT+Xx+35WUf/VXG3jveysYH/chnVZQrQ6MNNsGxsZkjI0pyOcV1+PYmOx6LZNxK2cyxnD16lVXmv5hod1uwzAMpFIpMMZ4dCuTyRwI54Wu62i1WnwezBjjQlCRSASRSITP4ffqeBlj2NjY4BFrTdO4cvPk5CRs28bCwgKCwSAmJiaej5RL27bR7/f55KzT6eDevXs8/QwYeNmPHTuGWCzmEhvYTUhVrtVqodVq8VSt06dPIxqN8i/pIETwer0eSqUSL4xPJpM8anEYIAU9qol4npifn0e1WoWiKMhkMshkMofS4N4JNE1Do9HgNS30eObMGQSDQWxtbWF5eRmKonBvt9/vx8TEBK+FIU/482r8v8gMtzwAHtQbUnN753oA+OSY6nqG2xpQNgO1VRiGxg3D4M5FJ+FwmKf9OVUmaVIQDAYhSdK2oi90njqbTz/P/NVfAfML2wuIlMsDYZBhlcdhIZFCAUgmD76ACDAwTqgtDDmiZFnmCqijUrnj8ThOnjwJAFyMiEStDpugyE5BKXy2bSMajSKfzyOZTO7LZ/FXf6XhD/+wh/PnfS6jLRp9+hplqgWl2tCDDkW5SKE3GAxy/YmDQK1WQ6PRQKvV4vZCLBbjwia6ru9JMIjUxrvdLrrdLgKBAFdXvnr1KmRZ5pmIoVAIkUjElRkEvAA1dJZlodfr8Q9pfHwcfr8fpVIJS0tL8Pl8rhS1WCy2q+FTMvBCoRAkScLq6io2NjYADG7qFL2Lx+P7djG2LAvlchmSJCGfz4MxhlKphHQ6faAnwJZl4erVq0in07vW52Ov0HWdp+4qioJarQbTNHm/recZ27bR6XSgaRr6/T5fjhw5glgshnq9jrm5OZ5yQB7rsbEx+P1+nnrwvH9OBwVnWwRgkArvFLWgPnPhcBiMMWxubnraIsTjcSSTSViWhYWFBU9bhHw+j0wmA13Xcfv2bY/RNjk5iVwuh16vhxs3bniOkepJnRkTTqitQqPRGNlW4WHCGsCDtgqVSgULCwue8XPnziEUCnFnwzAXL16E3+93Kc46uXz5MlRVdd0vgAcG30svvcTvJ9Vq1aUgqigKVw/c3NxEu912jauqysUoSE7eKZhDqd3AQPDHtm2XqA4tO8nxc4BPBb7yy4DJSa/Blsu9WAIiBBl95MRyii1RLT8hSRJyuRympqYAPBBvCwaDB/o+vhOYpsnLXzRNQyAQwPnz558LA7fX66FSqRwKlfJqtYrl5WWYpolQKIR8Po90Or1vdWaWZaHZbKLb7fJ2Vvfu3UOr1UIsFuPRt92O7JLjhkqDZmdnebsaSZK4sjCVyjg1Ox7Gc9+HTlEUrvDmJBaLYWpqCt1ul4fsAeCll14CMEhv6Ha73CIOBoM7EkGjNApifHwcqVSKR/AqlQpqtRouXboEYCAjTb2IyAjcbRRFcfUO63Q6WF5exsrKCqLRKOLxOOLx+IGLECmKglQqhWq1ykUmDvoFbxTOXl3RaJQX3D6PkPHWarUQj8d51Hp2dhYAuNFGEQ4APG99u0mJMOQejlMUghZn3enW1hZ0XXcpCYbDYR4puHHjBpfHJ2Muk8lgZmYGwCCSMOzgy+Vy3NtIfeKcbQ2cHlBd110Gh8/n49+9LMs83cW50A3Y5/O5Jjo0ThH7YDCImZkZT1sDGo9EIjwFzjlO17poNMo9t06C93P14vE4H3d+BuRJTSQSCAQCngggncvJZBJ+v9/TOJ3O6Xg8fl9l0W3QOiN9sVjME6EknBFIWpy/l0ql4umjFwgEuEG3tLTkaaweDoe5IBDVxDgFfSKRCJ88kUoljVEUnT5/0zShKAo++6cS3vNe4E//P+A3Pwy89X/xfOQvJJT+Peree+nSJR4hJmcY/S4sy3L1dyRBkWw2y7/b5wlVVTE2NoZ8Ps/T7+k38riT44MGYwyapiEUCnEHzEGD5tKk0UDtdqitzX7Qbrf5fL7X6wEYXE/JWX7kyJFdnzOQxgY5p+k6R/ZGJpNBKpXi8/xhg3evz9cDG6F7XKipKd1YVldXUSqVXIWGgUAAFy5cADCYdNNEYie9XVTwSBdiZ5oFGYPJZHLPmxP2+31UKhXu3QDA00bJY3sQ0HUdCwsLaLVahy5lFBh8/zdu3ABjDKdOnXouWy5QTjilINO1Y3JykjcobrfbCAaDz+X/vxOQip9ThZNumKVSCd1ulxtrpmkiEAjweguSBHcSjUZ5FOf69evQNI2LuciyjHg8zicRKysrnihNOBzm6T/UFsHZIJomogAO1PVC4GW46TzwwCDtdDouY55UJJ0KsJqmuZwBoVCIG/PXrl3zpKQ6r9PUsoMig3/8pyl86JfG8e3fquCnPgCUy8v8vKRzihTnBA/HmfFAGUuFQoH3l1xaWkIsFkMsFkM4HD6URs+jWFtbQ6fT4Wmqh4VGo8Ej+wct0thut1Gr1VCr1XiEeHp6Grlcbk+Po9/vo91u87TFmZkZhEIhVCoVrKys8Cy8eDy+4y3GTNPkBiMps/b7fVy8eBGKomB1dRXlcpkHhyhlcqdLg577lMtnxTAM/gXZts0NKeekyO/38xNlN05iTdN4JJFykOkGeePGDe6VjUaje1IEbBgGms0m0uk0JEnCysoK6vU6kskkUqnUgahfq9VqvKkseaIPwySSUoEpBeywwxhDt9tFq9XiDaiBQXqQz+fjE4hoNCoia/ehmwEJJ9AEmiJgVE/pxOfz8aj+3Nwc2u02VFXlE99gMMgNsmq1ykV0nBNjmhQfVg+24GCiaUC5CgSoz5OfQZIsMGbz6DCde06VSHrU9Bj+6Qdz+MLrDD/yj+/i0oWWK/LoFAd47bXXPEJG6XQayWSSC5aRgqQz8vui0263sbi4yOtDKbNpamrquTKWD9v91TRNLC0toVarIRgMYmpqat/r5qhhvN/vh23buHLlChhjPJMoHo/vekqvc07X7XZx584dV1sQygqgNP+dvJ/RfLzb7SKXy7lKuIDBvZiMtmKxCFVV9+ye+tynXD4rJLIy/CM6efIkt8jpy5VlmRt0N27c4KkRtASfUkKLCpyH0+4sy0IoFEKr1eLyvaqqYmJigve02o0Tyefz8bx9YODd7/f72NrawubmJvx+P7LZLE/R2g+cn9X6+jpqtRqOHj164NJEh6nX64hGo4fiZvMwqIUHSXEDg3QzMuhIcfJFgNTuSIa81Wqh0Wi4FDgNw+B1UFtbW1zeHIBHYZPS9oZVOIlHRaUpmrIdwpgTPAuaBnzuNeC//wXwJ38BXLsF+CVANwZjfU2Cbav3jTsgGAB/HghkB3/7H7wWDA6eT8xI+P7/4yROnQC+/G02wmEbX/12AxdyD64jxWLR1T+y1+vxqIGu65ibm3MdqyzLmJ6eRiaTgWEY2Nra4iJKL1L7gGg0ivPnz8MwDJeAGznZyuUyz3rZz15bz0o2m8XW1hZWV1eRSCQO9PeqaRpu377NW2PsZ19dxhiPxNXrdaiqinPnzkGWZZw8edLVAmu33p8cw+12G+12G2NjYygWizwlnBzDI4RCnvo9yWjs9XpYWlpCr9fj8xlJkhCLxeD3+5FIJHDq1CmEw+GRn8NBPs9G8dxG6J4Gxhj/8nu9Hk9bcXoSS6USD7/uhAdM0zS02220Wi1kMhnEYjF0Oh3cuXPHZVQ+i2H5KCzLQr1eR61Wg8/n48Iky8vLPIK5H0qerVYLCwsLMAzjULRkOKytF5zOg8XFRS4lTVG4w/g/PS5O9cF2u41KpYJ+v89bJwAPhC82NjawtrbmUuD0+Xy8hyKpcL4ok0nB4cY0gS+8AfzJnw8MuM9+HjhzAvhrXwr8tbcBX/pFQHQoacOy7jfv1YF+f/Co6WTwPRjjf99/XqkBv/P/AvOLwNe8E/jDTwOV+dHHNQwpYTsj33RPiEQiaLfbmJ2d9dQdUjSn1+tha2uL37cpJfxF+H1ubW1hfX0dpmnyTItisXgoDTsSNiKhpIMGibgAg/toLpfb1/nK8HdPkbjdquunsiPbtnm2F6ViAw/qhFOp1I7V5THG0Gg0XCJsvV6P9zbUdR3z8/MIhUKuefRBO/9FyuUuQydnp9PhebPDSmyyLPPmz4lEArZtwzTNZ64foqgZRRLJsBxumbCbRp5pmrh+/brrxxiPx5HNZve0R4xlWVhdXeUtGagx5EGDMYZms3noCtUbjQaWlpYwMzPD24I8rymUhmF4Lv66ruPUqVOIRqOo1WpYXl7mkXUy2EihVKQ0Cg4ztg28cXNgvP33vwD+7HPA1Ph9A+5LgS9/C5BK7u4x/P5/Ad79HkDxAyte0dJnggw9ip4nEgn4/X7U63UsLi7yexkwcOCcOXMG4XCYZ+pQutXzdv2jKE2lUkGlUjmUNeoAuEPtILU3GjShr3JBqkuXLu35+WOaJo/ONptNnDx5EoFAgEfldjM6W6/X0Wq1ePNuMuaoByNlfj2rY1jTNJ5VRw3N8/k8T9cG3CmTqVTKI6h4kBEG3T5B/Yyc3oBCoYBYLMals1VV5U3Rw+EwEonEU5/MZFh2u12kUinIssybiQPgwgbRaHRXPG8ULm82m2i325iZmUEqlUK/30etVkMsFtvxQtVRWJaFSqWCaDSKcDjMJYBzudyBqBUgWfMTJ04cCqPONE2srKygUqkgFAphZmbmQEc/nwTDMPgkjfLl4/E4l76n2h/y1mcymQNxDr0oONsa0CPwQMCDhGGGFR3Jq1uv12EYhktR0u/3c89zqVTik3daJxgM8pTVjY0Nl2gWMFB8pO3X19ddxjuJWlH6PvUNozEap7qPRqPhUfOkVEDGGO9T5lQL3Y3rJ2PA7NzAgCMjLp16YMB9xZcA+eyOv+0jqdUGx/aIDOIdh+7dJDJCannO+ykArs5LKnrPkyOn2WzykpLhtiWHgU6ncyCMOV3XsbGxwR3N4XAY+Xyez9H2gl6vh8XFRS6+R0rCExMTO+50NwyDq1rrus4dAnNzc2g2m/z6RwImTxtoIJFD27b59X5YkCkQCCCTyfDSIOr9dpgdMaKGbp9QVXVkOwUAXBWMImvlchm2bePcuXNQVZWnNTpP/Ef9+EmR0/kDLRaLSKVSfMLa6XR4fxNgMCExDIMf57NEDOmHSiqGdGPrdDq875KiKLwfVTKZ3JULmqIovI6L3p9q/xKJBAqFwr56ZLLZLO9ldfbs2QOt8liv17G0tATTNFEsFlEsFg/thIUm9n6/H6Zpcml+IhgM8sl9OBzm6ZOCh+NUO6RH+n21Wi1udDkVFUnwaX19HY1Gw6OoeO7cOfzMrwM/+1EGRbbhVxn8Pht+n42QH8ikgEgIYJYFv6rB72NQFQafyhAKKiiMxeD3AbWqBmYb8Kk2VIVBVRliURtTk4MeaOvrXTBb59v6VCCZsHHsaBo+FZibq0OCwbf1KQz5XAqxWAqKMjD46H8iyCnAGMPKyorn8yoUCgiHw7Asy1PvBQza3BSLRRiGgWvXrnnGp6amkM/n0e/3MTs76+kVVygUEI/HoWkaNjc3Xe0FyNgNBAKwLAuzczr+xb/y4T/9oQJVBd7xNgnf8NXAP/sJYPIAJDfsVyeX7e7dxWIRmUyGO2gpCkATxKWlpZGT1sOYiu7UFFhZWUGj0eDZGQcVaqfhbJOxX1AGi23bqFQqSKVSyOVyu35cpmlyCX0S8fP5fJAkCePj47vmWK9UKlwBF3gQQCAnx8zMDHdKPct7NBoNLmIIDObS586dAwDk83nenHtUa4DnxRG9E4gI3S5C/UcCgQAkSUKpVOLGFhEMBnH27FlewEmvPekPxOlFXFpa4op4ALj3mtTydiqtjkL9zWYT9XodlmXh8uXLUBSF9zyKRCK75rEyDAOlUol75Pc7laTf7+PmzZsIhUI4duzYgTUcSqUSyuUylwc+bJADo9FoQNd1Vy+1xcVFHhl/HtOnnDTawOwiYJiDiAdBzxkDLMuEaVowLev+dUXmTiDTsmBbNn+cmp6CBBmlUgnV+2JNzv2dOHGSi7/U6/XBi5IMWRoYHUeOzAAAKtUqer3e/d+9BFmWIMsKMpks1kvA5670UW/ZaPUUdLoSOn0JnZ6Mvq6g2wM6PYa+DqgqEPQzBHz3xTZ8Mnw+QJVtBHzAWy8BhjH4/w1Tur8AhsGgG+B/63wdx3Nj9OuMDYxCnwr4fYDPxx48V6X7zxlUZdAg268yqPfHA34ZPnWgBEmvqwqDX2UIBhUEAypUxYZl9qDcNzZVZWDcJuIhRCMBSDDQbtegyDYU2YaqWJAlG4WxDNKpKAyji7XVRSiyBUW2uFF66uRR5DJJXL/dxNd8exDf9NUlfM3bqpgo6JBlCSdPnkQsFkOr1cL6+joX5CG11HQ6DZ/Px0VJhgV7XmToWtPtdvnE1tkKyTCMfakxf1ba7TYWFhagaRomJib2vKXS49Dv9zE3NwdJkvgEf68xDAO1Wg2VSsXVRmYvyhPW19d5dhQwmMsVCoUdVWXXdZ0HB3q9HjqdDk6dOoVgMIharYZqtcodIU/TFoNqYIdLHSgtc35+Hu12m9+z6fFFypoRKZeHGGdKWL/fx9GjRwEMOt+T6mUgEOC1e09zoWWModfrcWUhv9/PDborV67wNCHyNkYikWe6gQ/34ZudnUWr1eLvE41GEYvFdiUd0bZtLptN9XULCwtcdXIvJyb1eh3z8/MIBAL7dgN6HA5rGhGdV9RjjRSyXhQvnaYDv/8XNj72Xxn+9AsyXprR0e1JYDaD3++DJMswzUEdEWMMEh5c3yPRCGRJhmHo0HXNlRIoy0AwGIIkSbAt874svQRIEiQAsixBURRIksTTGGUJfJygU8p5ao18DQ9fj7EHhpd23/jSHc8lAHf+0w58oENY1gMjbzujjz83tnn9Gbd9/H2woe0G340iDwxMADAt4Ke/v45/9K4wAoEAms0mF0qg9gKMMZw7dw6hUMgl40095VRVxYkTJ+D3+/n9hFSkSRzoeXacOLEsC91uF7Zt89Y61Molk8lww/iwYNs2ZmdneSbRQYF6nq6vr0NRFBw/fnzPM3BqtRq2tra4MRUKhTA2NrYrgiyGYfDflm3bXJju9u3b/FxLJpPPfJ8j440MJioTIoLBIMLhMIrF4hOnTVIAg6LcVAK0srKCzc1Nvh7NbY8ePQpZlg/tXGQnEQbdcwjVyjnr8xRF4Z6MO3fu8JYH5MV40igEY4w3MO50OjzETUqedCF91rQSy7L4BYqaRsZiMd4YtFQqcYN1p3/MhmHg9u3b0LTBpDUejyOVSiGZTO7JxIOK8iORCGzbhq7ruyZe86Ssra0hkUjse+rK42BZFmq1GhqNBo4dOwZJklCpVABgz77L/YB+O7quQ9d1aJqBz15X8OkrBfynP/fh/IyBr7iwine8VEM0NEgNVBQFJ0+e5Kp/lUrF1bdLVVUeLRc30OePchW49DVALgusl4BYBPjyLwa+9M3AN74TyD1kDkqp9JIkQdO0QfT2vpokGX4zMzMj682Il156CYqioFwucweiUw32MGYCPA6UelepVHgtUzweR7FYPDSiDKRsTP0w9xvDMHDnzh30ej2k02lMTU3tiVPWNE3U63VkMhlIkoS1tTXU63WuDLkb9/ByuYytrS2enUV1cCdOnADw7I5Xy7KwubnJAwiUHUYRWdM0eRnQqHTG7SDlTFmW0Ww2sbq6il6v51KNPnv2LEKhEI9sU826uPd4ETV0zyF0wjtxGtzhcBidTgf1eh3lchkAXGmGJM38MENMkiRXLZplWej1enz9fr/Pa+PomEhR6EluyoqiIJFI8Igc1eLQey4vL7vEDmjdnfBu+nw+XLhwAd1uF9Vq1WUUpFIp2La9q4XLNJkBBgIK6+vrKBQK+16rZpomT7c6yAZdo9FApVJBvV4HYwzBYBC6rvNi6MMO9ebRNM21UFF9v9/H3bt3cW89iP/6agb/7dUcoiEb3/7Xbbz+20AhDbTbCfj9OW6sOc/n7Wp8CXFDff5IxIBL54C/+/XAO74UODLx+Ns6zx1SeN0O6qs1rChJzhVd19FsNl1lBYqi4KWXXgIwqE+kMgTnclidM9TDNpfLod/vo1qtolKp8Ps2tT85yMYdqYEeFHw+H8LhMCYmJnZdYIxEjMrlMprNJq/HJqN8JxW1+/0+ms0mms0mjh49ymvxqAdxLBbzpDQ+ybW63+9zBzpFE2VZxubmJgKBAOLxOM/GormcqqqPTN+0bZsrWToNQ2oLIssyVFXlc0QSRaFjp9pTwe4jInSHFErbVBQF0WgUlmXh9ddf5+Ok1JXNZnkh9ON6eyitpNPp8AvE8ePHeQ1GqVTiP9JQKPRURphlWfzi1mw2oes6pqenkcvleJPUZxV0cULtJ2RZxsbGBsrlMtLp9K5Hq0zTxPLyMqrVKoLBICYmJvat+Xi/38f169dx9OjRRzap3i9arRZmZ2d5XU8mkzm0NwMy3OhGGIvFeCPkq1ev8vX8fj8CgQDy+Ty6RhL//o9sfOy/MZQbMv7eVwHf/tclXDqxj/+IQPCEMMa4wWdZFp+YLy0tcZVSIhgM4vz58wDABV9o0nnYnQ+UbhaNRjEzM/NC1QU9Lowx1Go1bGxs4OTJk3uWsqrrOm7dusVrIClldiejyZqmYWNjg89xAPA6vGe5rznr9xYXF1Gv17n4l6qqyGazXCTvcR3Yw7Vu0WgU8XiczxsAuLLDksmkOJ93CJFyKfBAhphzElkoFJDNZtHv93Hjxg2ev0w/ysepnXOG0Wu1GlZWVvjFCRh41M6cOQO/3w/DMHjtxZPQ7/d5vUa1WsX8/KDrLPUwiUajSKVSO+LJbTQa2Nzc5MItPp8PyWSSq/TtBo1GA8vLy9A0DblcblffaztM08S1a9fg9/tx+vTpA+UVdzob6vU6EonEoZvMOW+yt2/fRqfT4b8dn8+HsbExjI2NARj8jxSd6PRkfPIzwL/9Q+DVW8Df/nLg274GePvLwAH6igSCHcO2bR6ZZozxlhE3btxwpZ+Fw2Gk0+kdFYHYSyglc21tDbIs48yZMweqxs4wDJTLZS4Bv5fQZ7OxsQFd13ld1W6k51qWhUajgUajAb/fz42dxcVFJJNJxOPxZ77fkGZBq9XiaZr9fh+3bt1CLBZDPB5HPB5/YiOIWgY453WKonBRnqWlJa5CHI1GHys1lH53wWAQjDFcv37d1RoAgCtCSaIlh6nFxWFCGHSCJ0LXdZTLZd6UnH681Det2+3ynmTbycM6IeOR9jc9PQ1JkrC0tIRSqcQjhJFIBJFI5IlSTkhgpdVq8QukaZq4dOkSfD4fms0mNE1DNBp9pou/aZpoNptoNBoAwMVpqLl0KpXa0ZsveSIpLVbTNDQaDWSz2T27UDabTdy9exfxeJzn6e83uq7j7t27mJqaOtDy2U6oWS+lonQ6HYTDYZw6dQrAYKJAqa2RSMRzHhkm8KnPDYy4P/jswHj7tq8B/ubbgJBwerqg1gfUs862bZ5qats2N5ydfemo6J/kvoeJRqMIBAIwDAPNZtMzHovFuIOq0+m4esWR0JOiKLAsizuxnL3lxMTn6dE0jU9eO50OotEoJiYmwBjDtWvXuCOSUsgOg+On2+3i9u3bCAQCB8aZZts2bt++jX6/j3Pnzu1ptMW2bVy7do3XmhcKhV3JXCmXy7y+kTEGVVWRyWS4QNyzwhjDvXv30G63eYTM5/NhfHwc2eyTN3l0OuXJ+be4uIhyuQxJkhAMBrm+wZM4OegzIMES27Zd5TpLS0u8f7Koddt7RA2d4Inw+/2ufHCqnSODqN/v8755RDAYxIkTJ3h/I2e/Eap9G56AZ7NZ+P1+fkOu1Wrw+/24ePEiAPALE02oRuHsvUf1fpqm8UlxrVbjNYTUWyiRSDzxBZTS+pzph7Zto9lsot/vY3l5GbFYDOl0ekeig5Ikud6rVqthdXUV6+vryOfzyOfzu36jj8fjOHLkyIGZcJqmibt370LX9QMxyXkYJOcODBqqkqEQCoWQSqVcvwVSKRtG04Fv+D+Az74BjGeBd7wZ+M0fA/KpgTLh7aX7Evg+wK8O5PrpMeADDsjXti2WZcGyLEiSxH+vlUplZE87qme9c+cON9RofGxsjPdtc6anElTUbxgGZmdnPeOUvq3rOhYWFjzjlP6madrI8ePHj/Pr2Ki+cqdOnUIsFkOz2cS9e/c842fOnEEkEkGlUsHKyoqrp5yiKJiZmYHf70er1UK9Xvf0laMGxaZp8jqbg/Kb3W0ocp0aalhnWRZisRg6nQ4ajQbW1tagqiqmp6c96x40wuEwjh8/zpvW7zeMMczPz6Pb7fJ7/G5DzpNMJgNZljE2NvbEzt5HQcImNBegfpmFQgGJROKZHADOGjhVVTEzMzNQBb6vQkmZRE/6WXY6HZRKJZdIHQCe0pjP53npwcOuAbZtu6J4jDHeYoGc+aFQCNlsljtFiP3IGBLsPCJCJ3DhlJ3tdrs4duwYl57d2triFwIyuB51MabiecoXv379Or9o+Xw+xGIxJJPJJ74h67rOI3h0gT179iyAgYKmz+cbGRl5XKjAvVqtQtM0PkGkCedORe7a7TY2NjbQaDT4TW4nC7EfBQkU7AeMMczOzqLT6fA+WQcNimzX63X0+33eZ7HZbMK2bcRisSc2RN/6vUA6Puh1xqX4zYGxR7L8ztd0c/C3pg9SMD3Gns9hBA4/jjAKh1971D6YrUGRTEgwoEgmZMlALOLD1HgWQT+wOH8LhqFxCXwArt6Ar732GncUUQQrl8vxqMudO3dcxg61pEgkErBtG6VSyRMBI08yReicLRiAgQNLVVUwxqDrumcSRwaSbdvcs04wxuDz+SDLMizL4tkMFAVkjPEIna7r6HQ6rggiY4zL17fbbVSrVVeTddu2uUFXKpWwurrKtyMoG8GpKilJEu8bR71La7UaOp2OS9HU5/M9t6qSBPVAbTQayOfzCIfDaDabXMU3l8uJPnrbwBjD8vIySqUSb2i/m3S7XZTLZe6EvXDhwo6KsJAQT61WQ6vVAmMMZ8+edTXAfhY2NjZQKpV4mUkwGEQymeRpm4+LM/rWbrdRLBYRDodRr9exuLjI2+88jsK4aZro9Xr8nrm8vIytrS0+7vf7EY1GedbRXvTMEzw9IuVSsKe02200Gg3u/bEsC6qq4vLlywAGFz1nSwVqpj4KZ388yjefmpoCYww3b97kKYmUrvY4nmm6YFFfIJqkBQIBRCIRLoDyNHQ6HQQCAaiqinK5zJtXU058NBp9Zu95r9fDxsbG/QbNg+hOrVZDIpHYNc98u93G7Owsj9rtdW0HFVtPTk7y9JKDgqZpWFtb430hqUA8l8vt242RsUFfMWc/tlGPI8ecxqHDSNQNoNXW0O1b6Gk2NN1GX2ewbAWqPwrNAOqNDvo6YFiD5t1HChpurkahWyr6OtDXGXwKEPAxBP0MIT8QDEiIBGWEAoDfZyMcAMIBCUG/hFBgkFYa9GOwrh+e1/jzwPbr+H3uPnaHHcYYj3D6/X5IksQngNQzjhaaqK2srKBUKrkyK2RZxssvvwxgMNFzthGg6NduqwfuB41GA+vr69zAz2QyGBsbOzAtYwhSXZ6ent6XqCvV0+fz+R1LPRxFt9vF/Pw8+v0+/z4KhcIzOxDJ+aEoChfRAsCjuk8jbOIUsGq32+h2uzh//jwkScL6+jq63e4T1cCRc0tVVWiahtnZWZfuQCAQwNTUFO9l+Cijk7KdqMyF5jeXL1+Gqqqo1Wro9XrcGDxIdZqCRyMMOsG+4uy1BgyaopPMPDCYVCSTST7x6PV62zagpQuaaZpYXFxEt9t1XfwoOva4Pd3o4kz979rtNnK5HIrFIizLwsLCAm9K/aQ3e03TUKvV0Gw20W63+Y3l4sWLOzrR73a7uHnzJhRFQSaTQS6X25WJydbWFlZXVyHL8p6nLtm2jddffx1TU1MHTvRA0zTcvHkT2WwW+Xz+QMl6Pyn0G9A0jfe2A8AbCd+5cwfNZhOKovCJfzgcdhXEA+DRn+FJKGMD47CvAz1tsPR1oKc7nmuDv/sPee1xtnM+N60Hhl7Q93RG4fA6fnXwv6TiwFe+tHff0bNiWRbvHedUlSTxp0E/Qw22bbtUJefm5niUngy+cDh8oGX2H0W/38fW1hbK5TJUVcXFixcPVD3Q0tISqtUqb+WwV7RaLR7R6ff7u3I/ofqsaDQK0zRx7969HSlZsCwL9Xod9XodjUYDhUIB4+PjPIKfSCSeqhG2JEmoVqtYXFzkThGKbj1J/7ter8evs5Q6WSgUMDExAdu2sbCwwJXBt4u+OXUJ6HFmZgahUAjlchnLy8vc2U0ZCjvhTBbsP8KgExw4SMyELkaqqqJQKAAAXn/9dViW5Yq+xePxbS/CpmlyoyyZTPKUmjt37kBRFJ57T4+PuqjRxbvX6/GaLeCBimahUHjiGwL1Z+l2u1wl7N69e2CMIZlMPnPz63a7jVKphFqtBsYYj6TttHHR7/d5PUU2m922/ms3OChNri3Lwvr6OjRN44Xiu92vcCcxDIMLFPX7fWia5hJoKZfLUBTFNXEn77xhGDzd8TBhWQ8MwMcxChsdYLMKbDWAShOotgavNbtAuwd0NaBvAKoMXDwKfP7X9vs/3Hko0kdRBopoOQ2+WCzGz52FhQXIsoxgMMjT7A9LKqNpmlx+nTGGUqm0pwJU23Hnzh2YpslLBHYbwzB483Cq/dxJSOyrVCqh3W4jGo3i9OnTO7Z/qlemHnHJZBLpdPqJ2w1RmQbVwc3MzHBBuHK5zGvgHhXdMk2Ti6yQkAvNb5xCWFSzNwqqdyMHGs1tCEqbnpiY4KmjgOgh+rwiDDrBoYExhmaz6WqpYBiGy4O1urrKPU/b9R8yDIOnfZJiEwCeL0/NmiORyCONHk3T0Gw20Wq10Gq1cOrUKYRCIa56SRf3J528rK6uolqt8rqdWCyGXC73TApeJC1dq9Vw5swZyLLM62Z2yrhjjGF9fR2yLHMj/EWhXq9jaWkJhmEgm81yxdaDCvVppKau6+vrWFtb4+OkVnb8+HEoivLUrUQOC5YFbNWB1TKwWrn/WH7w99r91zQDGM8AE1lggh6zD/4ev78EDm8w9pkZNvhmZ2d5ij3hbLtSr9ef6jq51zQaDdy9exeBQABHjhzZ13rda9euIRwOc8GK3aRWq3FZ+4mJiR2vlyuVSlhbW4NpmggEAsjlcshms0/tHCLhkV6vxx2Ly8vLPOPnSYw4chaScNJw7X4+n3/s/VHLg1arxfcTCoV4lkOr1eKOslHYto1qtcpLVnq9HhhjXNzJNE2Uy+Vn6u0rOLwcGINOkqQpAP8GQAGADeAjjLF/8bBthEEnIIPH5/Oh1+vh1q1bLuEEyjGPx+OunHknlmWh0+kgFotBkiRXYbCqqjwSWCwWHzpBd0aJNjc3sbq6yj1iJPwyNTX1RJP8TqeDer2OWq2GdDrN00NWV1e5ItazGA0kLkP1gel0ekcnVbVaDZVKBRMTE7sqsFCv17G1tYXx8fF9SfPq9Xq4ceMGwuEwpqend7XJ/NNCLRLIs9ztdgE8UFokJwlFUQ765PpJaHUfGGdrlSGD7f7zrTqQinqNs2GDLRV7vmru9hKKAFOqXjweh67reOONNwCAZ1w8q5LgbtJsNrnj5vz58/uSRl2v1zE3N8cn8rvJvXv3UKvVEA6HcfTo0R1JsTQMA5VKBdlslteUNxoN5HI5xOPxp9pnp9Ph+6GG86FQiDsvHxdN01y1+fF4nDse7t27h2g0ilgs9tD7mbNlhjNbY2FhAbVaje+DBEyGj48yi2gJh8MoFApgjOG1116DLMs8gkfL83S9FjwdB8mgKwIoMsa+IElSDMDnAfwtxtiN7bYRBp1gGMYYV9ikHPJisYhIJMJvglTfQV6sWCzmuqBS7ZwzEmhZFm+ZsLS0BF3XXRfkURMPSoegG4NhGNwTt7KyAtM0n6iJJxmMnU4Hs7OzPJUvHo8/dWom1fJRobQkSRgfH9+xSUKlUsHy8jIsy+IG6W6oYVqWhZs3b8KyLJw9e3bPJ1l3795Fp9PB+fPnD9SN1ZkS3Ol0cOvWLd7ug4rzt4tkHwZMC9isbR9No78te4SB5ng+ngGK6YFAimBvoestZTV0Oh0Ag36e6XQapmlyxdCDgqZpuHHjBhKJxJ5EyIZpNpvY3NzE8ePHdyX1s9fr8R5i1WoVlmUhm80+03WCMYZGo4FyuYxmswnGGI4fP/7UWSe6rqPRaCCZTMLn86FcLmNlZYVf12Kx2GPda3Rd5/eLW7du8fOPWhklk0lkMpltt7dtmyvjktosRaKpddKpU6egKApM04SiKK7PUdd1mKbJ0yqdxwAMhE/o3jl8vAKBkwNj0Hl2KEn/EcCvMMb+aLt1hEEneBL6/T7q9To31EhG/MKFCwgEAjxqMUoV0xl9W11dRa1W49vLsox0Os1TOx6nnmtpaQm1Wo2rTD1po1Kqu2s0GqjX6zAMg6eMapoGxtgTe1J7vR7K5TL3kJPUPvUEfFosy8LGxga2trbAGEOxWOS1gjtJv9/HrVu3eNPdvaxxMQwD/X7/QLRM0HUdlUoF1WoV/X4f+Xyeq79SGvBBr3NjbFCTxiNqZW9EbbUMlBpANuE1zujvYtpGIWUhFrKhqgpvIt5oNFw97ai2NBqNwjAMrK2tudoL2LaNfD6PeDzOe0sOUygUEIvF0Ov1sLKyAgC8RYIkSRgbG0M4HEav10OlUuGvU6uFZDLJm5BrmubpKbffNVt7BbUSiMViUFUVW1tbWF5eRigUQiaT4a0c9pu1tTWUy2WcO3duz5w4u10rrOs61tbWUKlUuIjYTmBZFq5fvw7DMODz+ZDJZJDNZp/YudftdrmgCWUYzMzMIJPJuAyrh0FlElQqIcsyLl26BGCQ+gkM1Ii3i8BZlsUjeCRecvr0aUQiEbRaLVSrVa4SOcpZRlkSlDZJaaYXLlwAMMjuAcCdzgf9Wi04OBxIg06SpBkAfwbgAmOsOTT2bgDvBoDp6elXFhcXd+x9BS8WpAZFk/DV1VVsbGzwcUqT3K5ZpmEY/KLu9/sxNjYGxhiuXLmCQCDA0yoe1seu3+/zfQQCARSLRTDGcPv2bR5FeRyxFkrLAB6IVwQCAR65i0QiTzwRqFarmJ+fBzBoJJ7JZHi91dNAE2Vqsr5dCuyzQDUuqVRqTzznB0WMhaD0KAC8N2Mikdi3HoGjMExgo+o2zrjR5jDWgNHRtIkMEA+2kIsbSEd0SDBhmiZisRgymQwsy8Ibb7zhqtcCgGKxiPHx8W2bjFPbC03TcPv27fvfqwSLyTAsBYn0GILhJBotDfOL69BMabAYEnRTQjCahqyE4Vf6kPQNHM/riAYsfp5TzVWj0eCiR8775unTpxGNRlGpVEY2KSeHTa1Ww+bmJlRVdS3UCsMwDN7j8nkwAimLoF6v81YCFBnbz98epfbv1WdMvRaTyeSO17CZpon19XVu0OTzeRQKhac2VElNUtM0HllaXV3l97TH/d4YYzBNEz6fz/W7jUajSCQSSCaTj3RcWpbFHSvOfoyBQIBn2aTT6W2PyVnWQVkOwCD6RkquuVzOc40lcTcy3GgeQfdn6sVLhttBTNMXHC4OnEEnSVIUwGcA/Axj7JMPW1dE6AQ7DSlP0WJZFs6cOQNgMFnWdZ33yKPG6M4bgW3b2NjY4J47uunTZJHSMEflzROGYWBhYYE3N6W0jYmJiceqL6BUlEajwVNbnIXXT6K6SFG6SqUCXdehKAouXbq0I5OYzc1NrK2tIZPJIJ/P75j89ebmJprNJk6ePLkj+3sY1WoVpVIJx44d27eoAXm9gYHaIGPsmaOqTwNjA7XH7aJpVLtWaQK5hLdWrZixMZWTMZEBAijDrwxUNrs9He2uiUA4gXxhGn0deO3qTfQNQDclGJYKk6kIhBIIRVLoG8D6Zg2GJUOzFOimBM2UYTEfTFtFX2fo9O37xhigGRL6hjTohWc8ULukv1Vl0M4g6H/Io+N5MgZ89jZwcxVIhIFzk8DZSeDc1P3HycH//+BzY7z/JYkv9Ho9WJYN3bBgWDZ0w0YylQEkFdV6A5tbZWiGBcO00ddNWDZw4uRpSLIPG5slbG6VYdmApPggKT7Iig+5fAE2k9HXDOimDVlRYdoKGj2g2QeaPaDVHyzf+xXAFx3d09Pnsej3+yiXyzAMg7ey2U8V2ceNCj0r/X4fCwsL6HQ6PBV1J5mdnUWr1UI2m0WxWHyqa4dt26jX66hWq677ztmzZ5/o86EG3yQeEo1GceLECQCPJ56j67orgtbr9XDmzBlEIhF+X9/OyUV1xs45wLDw2ubmJlfGpvPOeR7U63Wsr69zwRJgkIFDpQCHVQ1YcPA5UAadJEk+AP8ZwB8yxn75UesLg06wl6yvr/P2AuT9d0pzNxoNBAIBbpgwxvhNIRaLIRwO8wamZKQ5pYmHb1K2bbtuTMViEbFYDK1WC0tLS65age0mNJZlcalmqgO4evUqfD4fT6183Ohdq9VCr9fj3uF79+7xVNGn8S52u11sbW2hWq1y6eZisbitRPOTQJM8Sl/bLaEU8tg+Sy3Is1AqlbCysoKZmZld7f2n6cDtFWBhE1guAStlYK0KrFcHNWylBlBpAYoEJKNAPALEwkAk+KBHm983MI4gAd2egU7fQrfP0NMZ+jqDaauwpQD6BtDpmfcjXzIsBgR97H6POBlBPxBQ7fv93wZNxh/H0Ar6HvSRe5x1g34gQMc8guUK8NafAQLqYB3f/UWWBy0LbDYwDrsa0L1vHFJzdmCwjSIP1icsNqj3s+zB9rL0YD1VHjyOei5JDyLFjNmwbAbbZrAZG+yPAZLsg2UDmmnDtBgMW4LNJKgyg18Bgn4ZQXXwWf/835HwTa/s2um0Y/R6Pdy5cweTk5M7buQ8DltbW1hZWcGlS5d2Le2yXq9jYWEBkiTtWI/PdruNzc1NHDlyBKqqotvt8rYSTwo5HUkl1+/3I5VKIZVKPdZ9wZnlMD8/j2q1CmBQ90v14Q9rYO9svu1sEC7LMq9Rz2QyHiPVGUGjhuXAg9YBgUCA35+drZGGI2+klH3q1ClEo1Fe30gpl+Fw+MA1pRc8n+yUQffMVzJp8Iv+VwBuPo4xJxDsNc7aL1KxIkOKMYa5uTmeQkgRvGQyibGxMb6PcDiM48ePc0OPIjxnzpyBqqouAzAUCnGjzYkkSfD7/SiXy9ja2uIiF0ePHvVEiRRFcU10qBao0Whgc3MTGxsbUBQFk5OTyGazD/3/Y7EYT0+lm3ClUkGpVEIwGEQmk0Emk3nsSFU4HMbMzAwmJiZQKpWwtbUF0zR3pPcQfS8rKyuo1WqYnJzc8TQlAFwQp9Pp7KlBp+s6j+JSWu5u8p//Cvj//dwDwyVw3+AJB4BoEDgxDbwSAWIhpzHEoEoGFMmADAM+xcLEWAZBP1CrlGEZHUSCCuJRH2JhHxLRAAr5AII+wKdIiAQVBP2D9/Q6HPY/lTAaAP7OK0C9O1iqbaDWASodoNIeGFrZGJCLAacLQD4GFBLAWBwI+QbGXr01MJDvbAwM5HwS+IGvA05PDvZZ6wLVzoNl+O9qB9joAKYlIR3B/UUePIbBX0s5/o74DISVPiKqhoDUh6EP+sbR7+7OnbvodruYnQ3xCSlNTg8asizD7/djfn4e9Xod09PTeypK1Ol0eMrrbqBpGu7du8fbhzxr1L3dbmNtbQ2tVguqqvL+ek/qRNM0DZVKBZVKBVNTU0gmk8hms7zM4FGYpskbfHc6HVy8eBGyLHN104c1+CZHKfWC63Q6vEF4JBLB1NQUr4Eb5agsl8uo1+tot9vcMUtGHwCcPHkSgUCAf6cU8bNtm7c1orRLutePjY3x9UfdswWCw8ROqFy+DcD/APAGBm0LAOBHGWN/sN02IkInOEiQqqazv93ExATGxsZgmiZWVlZGqlr2+30EAgFPjr+qqtyIGqUwRhE8uqmdOnWK70PTNB69224SYFkWLw5Pp9Ncun5tbQ2pVOqxVDMty+KtCdrttiu1FHiy+hLLsniBuGEYWF5eRqFQeKaInWVZmJ+fR6PRQCaTwfT09I6nZ926dQuyLPNI7W5TrVaxtLQExhimpqYeaYjvFc7Uz5WVFV7cDwzOg3A4zI0GTdOgqupzmXZk2QPDbqkCzG4C82VguQqs14HN5sDga/SAtgb0jEGqqiTff5QAZg+ifm85AWQiDqPMYaANL2H/zrVSoN8yKQUPNwnf3NzkNcIHQdGVMcbTtxVFwZEjR/bMuXLt2jVubO0kzqgVCRk9y3WL6u/IkCsUCsjlck+0T8YYN+La7TaAgfFSLBYf26HU6XSwurqKVqsFYBCFSyQSGB8ff+i5RCnJAPDGG29w9V6KniWTSc99gjGGXq/HM0tmZmYADKKAVDsfiUQQjUZd6ZeMMZTLZZ4ZQ+/lTLus1+si8iY4cByYCB1j7M8BHBx1AYHgCaFm5uTpI6MGGExgG40GKpUKgAeevcnJSYTDYZ5rPz4+jmw2yxuVt1ottNttrja2sbEB27Z5Dv8obyBjjKttAYPi71QqhYmJCdd6iqLw1BiC6ncajQYA8CL2fD4/cvKtKAqy2Syy2SyfpAMPGtGSmEoikXhkWqeiKPw9er0ems0marWaq6n6k9aqKIqCEydO8HSgTqeDEydO7KhISCQSQblchqZpeyY+QtHN/ZavHhasuHjxIvx+P1fSpN/E8OdykERatkMzHhEd2yZ61uoD8aDX6JrIABemvK8H1IFQTFcDyq2BIXh3A/j1f7g//zdF2oHBtUTXdX4tY4xhfX3dlXKeTCaRSqX2rYZUkiQUCgUkEgleZ7YXBh0pJe+0Q6XRaGB5eRnT09M8Lf5pIIcfiZAEg0EkEoknMuRs20a/3+eZCBsbG5AkCRMTE4/MxqBIWrPZ5I5JSoMvFotIpVLbRn11XXfdAxVF4TXgY2NjvKn3KCOQsk+cNeyBQACmaUJVVczMzECSJJ462W63sbW1BZ/Ph0KhwJ2ilPkyNjbmUr0kVWuB4Hllx9sWPA4iQic4bNANhFonzMzMIBgM8h46ZKg5i67pRgQAc3NzvCYOGEzs0+m0K62TIKOo1WrB7/dzla07d+5wha/tboqdToeLqvR6PVy+fBmyLKNWq8G27ZE1f0663S4qlQpqtRoMw+Cpn0/SWN2yLJTLZZRKJWiaBr/fj/Pnzz+1p7rZbGJjYwMnTpzY0SgdSX1PTk4eiIjFXtDtdrGwsIBerwdgcB6mUineKPigwNggElbtDKJmowyx7Qw2wxoRDQvfT190/O0cT0WARGhQ2/a8Qn3jqGVKr9dzReYNw9g3g52ui3uhfnnr1i3our5jbQtM08Ty8jKq1SqCwSBmZmaeqjZZ0zSUSiVUKhWYpsmdLI+L0yFYq9W4rD8J9jzKiKtUKlzQxLKsx+pt6tzv8vIytra2ADzoBRePxz0tFEhlmpyeMzMzLhVYqn+LRqPw+/0u8ZzFxUVUq1VXJkkqleJRPOc9VyA4LBwoUZQnRRh0gueFdruNSqXCUzWBwaTk8uXLUBQF/X6f14sMi6WEQiFMTU0BGEwySEqZbmRObNvG3NwcrwkABpFF8piOwpnucufOHTSbTUiShFgsxlMzt7v50eSAVDIp5a5WqyEcDj/WxI8xxg1LmhRsbW09kxw/fQ75fP6pPeB7DfVeGhsb23NVP9u2eSuMRCIB0zQxNzfHv/+9jBT+56uDFMaWNoiGNXuD580e0OgC9fuPtS5Q6wEB5YHxlYl6a8qGF0ptjAR2Lo3xeabf7/M6Mmp1EgqFMDY29lA5+N2Crjk+n29X6/50XYdhGDsiN08ZDZZloVAooFgsPvHnpus6rxmWJAnJZBK5XO6JemPW63UsLS1xJ1wqlUImk3loSqWu69A0jb/PG2+8AQA8ujiq76VlWbwGrtVqod/vu/rBUk9P5/dHaaj9fh9379519YGNRqO8ho7QNM3VK84wDFy+fBnAQOCMvrtIJMJLHgSCw4ww6ASCAwY1Lu33+zzyNjc3h3q9Dr/fj0gkwqNrzhx+0zQxPz/P2y0Ag1STiYkJj7HmLCxvtVrI5/NIJpPo9/tYWVlBIpFAIpEYOVHvdDqo1+u8uXoikeCy0o/j2bRtG1evXoVlWYhEIshkMkilUo/tETUMA9euXYNt20in0ygUCk88cdM0DXfv3kW/3+eRw2f1yBqGgbm5OYyPj+9KUfzs7Cx0XecNaPcC0zSxtbWFUqkE0zSRzWZx5MiRPXv/UZz6ALDeHChASo6FYGygEEmP5n3VSPN+BrRXJZJBkRx/KxIUCZBgDV6T2EBtUmZQZQl+vwpVBixThyKx+9sN1gn4FAQDPigSYBp9/l6qIkGVAb9PQcCnDiJ4zBy8rkjwKbLrmBRSt5TomBzPH6J2Sc+LceBsce+/G8MwUKvVUC6X0ev14PP5kM/nMTY2tmcTZrq+JBIJ3tpgJ+n3+zteO0URtSNHjjzxtcyp6Hvjxg1ks1nk8/nHSoE1DAPVahXxeByhUAjtdhsbGxs8TX47x5GmafweQMIwFMV71D2g2Wzi7t27YIxBlmV+L8tkMq7tTNN0NQCnlgqWZWFhYYE7Lal2rtfrcSEUZy26oig8UkcplQLB84gw6ASCQwAVd3c6HV6oHYlEeI+8crnMjT1ZltHr9bhgytjYGGKxGNrtNpaXl/mNMBqNem76zWYTi4uLvBA8GAwiHo+jUCiMnCBQr51wOAxd1/HGG29wlbJ4PL5tSwSaSFQqFfR6PUiShCNHjvDanUdhGAY2NzdRKpVg2zbi8Timp6efKGLHGMPGxgbW19chyzLGx8eRy+We+oZv2zZu3rwJ0zRx8uTJHWm/QFBT3fHxca60uttUq1UsLi7Ctm2u1rpbapqRnwV0C/Arg4ha2AdEfEAsACSDQCo4EAhJBYGofzBO67ge/Q/+lu0+VKZDZSZM04BpmpBkBbl8AZYN3Lx9B812536bAAk2A8KROKaOHIVlAzdu3YZ2v8ebxQYS/6FIDMXiJCwG3J69C920YTOJrxOJxpHO5mHZwN178w+2tSVY9/cfT6RgWAxLK6t8W5vJgKwgEIogGIzAtBkarQ4AGbYkgzEZNmRAUmAziRupZKhSawLTGjzvMOC3vhU4t32W265DKc6WZeHs2bN7+t5LS0sol8t46aWXdjSa3Wq1cPfuXYyNjfGG2U8D9TPz+Xy8Bs8phPIoGGOo1Wq8EThlPjzOPqjpd6VS4eIkExMTD02JdO6X6pGBB6nWoxp8G4bhqoPL5/PI5/MwTRMbGxtIJBKIRqN8v85MkFu3bqHT6QAYGGTOWmxad7hfHPWMjUQivKSBesUKBC8CB0YURSAQbA+JSxCapvEoHGMMy8vLPIUyGAwiEokgnU57pPoVReHtDoBBBI9kmhljiMfjuHjxIvr9Pur1Ok+XpMlLuVxGv9/nN2PnMcmyjImJCTQaDW4oqaqKY8eOedJ+fD4fxsbGMDY2hl6vh0qlwg0gek9S3hw1QfH5fJicnEShUODebaegiqqqj/RQS5KEYrGIZDKJlZUVVKvVZ2ptIMsyjh8/jjt37uD27ds4duzYjqVz0qR0L73LkiQhEolgenp619XcPv/dwEINWG4Cq01gow1stoFSB1itAdf6QEMb1LVF/APZ/6DKoMoMssQA2LAZg80kQPFBt4C25kPP9MOwJQQVGyHFRsgHJMMDo09lRxBSbIT9DwzCWFOGvwL8wlcB49FpSJIEWZb5MmgePDjmt22jbEjj1svTsG3btaiqikBgED2sVkP8dcMwYJoaEgkfUqkIdN3AtWuzGHaUUq2aYRhYW1tDMBhEMBhEIBBwpY39nd8C3ljfX4OOBJvoumSa5jP/xh4XavK8k8ZcpVLB4uIigsGgp57rSahWq1hdXYWu667P4nF+27quo1QqoVwuc0XgXC7HDa5H7YMxhuvXr/M6x2KxiHQ6PfL3bds2r5Os1+s4deoUF+KimrNRGRyMMdy8eZOXDiiK4kr/V1UVk5OT6PV6LjVJar4NPBDbobRLZ+15OBxGr9fD3bt3eT/XdDrtUqukVhsCgeDJERE6gWAfsSzL5a3sdDoYGxtDoVCAZVlYXFzkPYKCwSC63S73cB49ehSSJGFlZQX1ep23O4jH41AUxeWdXVlZwdbWFu+3R5LRw6pf1BKhXq9jcnISPp8P1WoVjUYDqVSKTwpGQQIxlmXB5/MhnU4jnU4/9g361q1b6Ha7SKVSyOfzj13jQh5i0zSxuLiI8fHxp/LuGoaBu3cHvbyOHTu2Yw2/33jjDUQiERw7dmxH9jcK0zTR6XQOXF0h9YKqNLvwJSax0QKuzG1hodRDRfOh3PehpvtR1QKom0FstICQypCPMIxFgVwUyERkpEIDBcpoYBDpC6iDvno9c2Aw/t4t4HYVWHzPwMDbb0zThGma9w0+k9eddjod3L17F6Zp8nUlScLx48eRSCTwI79vwbZ0/PTXP9qxsVdsbGxgdXWVi0/sZh3o7du3AWBHeloCD449Ho/j2LFjT9Vuo9PpYHl5GZ1OB+FwmPdLexzoGlwqlbC0tMTr4x6V2t1ut1GtVtHr9fhnUa1WedPsUVDLmEajwZ0QFKEfFYUjow8AT71fXl6Gz+fjqZzDqZgLCwtc8ZkUK6PRKDeUbdtGqVTigifkvKQMBdu2uXG31/XEAsFBRUToBILnADKunDd4crJomoZOp4NarQbgQX+7YrHoUseMRCLQNI03Owfgqo8DBhGC8fFxNJtNNBoNNBoNWJbFDbpyuczTXIZbIlBNRLVa5U1kh9cBgGw2i3Q6jUajgWq1iq2tLVSrVVy8eBGSJLlSc0YxMzPDo3bVahWxWAzj4+OPnDw5I3ztdpvXo4yPjz/RpNjn8+H06dNctXSneBJxg6eBvN6WZeHChQv7rvLWbrdRKpVcvaBkWcbFyQJmUioupMPQdZVHqJznBGNAvS9hoyVhozWI+G20gPUWMFuC67VabxC168hA3A981QTwU38CFKJAIfbgcSwKxAPAXs4fSWxkeCIdiURw+fJlmKYJTdPQ7/ddtV1T0Q7+w1UTV6/O855x0WgUqVRq33r/Uf3SysoK+v0+jh8/vmtqmP1+f8ccKbquY319Hel0mkvePw2maULXdczMzDx2anm9XsfGxgZvDUNphw8TIdI0DeVyGdVqFbquQ5ZlJJNJXms3yvlWr9chSRLS6TQURUGv1+O1zc60SKJSqWBrawvdbhfAoJ+c8/OempoCY4w3Mm82m+h2u1xxkyJq8Xgcfr+flxSUSiWe9r6+vs4desMiXySEIhAIdh4RoRMIDjiapnGPZ6vVwokTJxAKhXg9xXAEr9lsAgBPt7x165ZLRnrY82pZFq5cuQLGGO9FRkYmGQekQEcF9YFAgNcBNptNhMNhjyFBk9ZIJALGGN544w2eZpNKpbb10JKXd3Nzk/f3e9yG56ZpYn19HaVSCZIkPVPNDGMM1Wr1sSdx+0G328Xt27ehKAqOHz++I8p9T4JpmtxBMD4+jmAwiFqt5qn5pHNuJ/ndG8D3/SHwrgvAV04NUj2dBiAZf8eSwKdvD1I+40EgERwYePHg/SUw9Hj/eSLoXScW2N3WBq8uMfyD37HxR9/5IKXNNE1cvnwZqqqi2WzCsiwehd9Lms0m7t27B0mScPbs2V1RSHWmuD4tzsyEXq+HYDD4ROeeYRjY2NiAoij82uGUzt8Oy7K4I6vf728rbDW8DTBwStVqNdy7dw/xeBzpdBrJZNLzHZN4DbUXoHT7kydPjvw/SJxkenoaiqJgc3MT9XodiUSC188xxrjQCdUa2rbN+7nFYjFks1nuHCuXy7x/JUWancfwKMedQCBwI0RRBIL/P3v/HSXJmp73gb+I9N5nVlaWt93V5s5whiAAUhAFAnQAQWoJgSIBGpAUtFxyd0Wj5YpY7h4Kq0O7EqVDLiWC0h9LB+yhEcCz9BRBi8FgMHNNu/I+vbeRYfePmvimqru6u/p233v73vv9zsnTXVmZkRFRWVnfE+/7Ps/nnGazSbVaFTbQ7szDysqKWHw4jsPJyYlw34SL6kGxWLwyB+K24LjOZKZpMj8/Tz6fx7IsdF0XbYyO42CaJj6fD9u2effdd3Ec50ocwtOVMddMoNVqMZ1OxdXnQqHw3JbMy9lU9XqdSqVCNpsll8u9dDGpaZowAHBbHW+yKLtMq9Xi6OhIuO697iLFdXN7kxwcHNDv97lz587H2qLX7Xap1+vCnMHn87G4uEgikXglk4gPg27Bf/kv4Gd34af/Y/i2G+h1y77ItetPoa9d3Hra1a/F/5+6r3fp/8PpxRzgZZH3YQRiLHDRMvo0wynk/+8w/NPfqiheDr53XXMVRSEejwvjpI8L1023VCq98ffyq/5+XodhGBwcHJBOp195Xu6yYZPjOGSzWZEBehPcaJhIJEI+nyeVSl37e+A4Dr1eT+S+uVlvtm2LdvWn98u9z/35u2HjqVTqykUcwzBoNBoiKgUufjefvtijaZoQe8PhkFKpRC6XE2I2Ho8TDofFDNxkMhGfo24I/GXX5o8z/kQi+awhBZ1EIgG+5Uo2HA6ZTqfiSunR0RG6ros5B7/fz2g0ot/vk0wmRdzB3t6eqMq52UPj8ZhAIIDX6xXCxu/3i1iEWCwmFl/j8VhU7lzRuLi4KFzgnsbN7ut0OqysrBCPx9F1XcwaXcdoNBJXlx3HIZFIkM/nXzqL4oqLyWTCzs6OqPjdVHDU63XOzs7EoujDDuy7V9/X19ffWDSCYRh88MEH5PN55ubm3sg2b4JpmnzwwQd4vV4ymQzJZPJjNTL4LX8H3q3Db7sNaymYjcFsFEpRyIYvYhE+KmwbRvr14u9VBWLAe70Q/NoJfO2/gJlr3iZubIkrCAzDIJ1OfyQ2/x8nrVaL8/NzNjc3P3Q752Aw4ODgANu2WVxcfKZF8UV0Oh2Ojo6wbZtMJkOxWHzhfriirNFosLy8jNfrZTgcCkOi5+EGkLvdEel0mmw2+4w41jSNTqdDt9u90vLoOgu7LbruzLPrlKxpGg8fPiQSiYjP6nA4LD4Hbdvm4cOHohU6EAiIiqDbCumaY41GI3FRLRwOs7Gx8cxstkQieX2koJNIJC+kUqmIBQFcVLqevuo8mUwol8sMBgPR/hMOh1laWhKLDLd651bw3Cvp9+7dw+v1XvkD7y5EUqkUwWCQXq9HuVwWM3eXF0luW4+iKJyfn1OtVkVLZiaTubbipOs6zWaTRqNBKBRiY2PjRudC0zROTk4YDAYEg0Hm5+dvLKxGoxEHBwcYhsHS0tIrLRRdbNvm0aNHAGxtbb0xQ4DhcIjf7/9Ir5BblkWj0WA0GrH6TYfI8Xj8kbRR3oSvluGXqlAZwfkAykM4H178O9BhJnIh8GajUPqm2MuEIBuC//hmb5ePHMeBsXGN+NMuYh6+6wb+ObZt02638fl8JBIJLMui1WqRzWY/csMJXdfRdf2NzEOZpsnDhw+vtHG/Kq4lfzAYZHV19cburu5nmfs5WCqVXvhc27ZpNpvUajV0Xcfv97OysvJcEee2y7sXt9yW1XQ6TTwef+b3Zzwec3h4KC6MRSIRERLutqG6WXK9Xo/hcCiqiW7OpGmaeDwehsOh+Mz2+XziQt/5+bmYz3QFYb/fZ35+nnA4LOb/3AuB0WhUtlBKJB8hUtBJJJIb4Wb/DAYD/H4/+Xxe2GC7bTORSATbtkXL5erqqohKGA6HooLn9XpFrp6bq+aKHfeK8OWrzb1ej0qlIrKJ3AVKPp+/spgxTZNOp0Or1WI0GolFz9LS0rXH5DgOhmHg9/sxDIPt7W1yuRzZbPaFi49ut8vZ2RnT6ZRUKnVj58nXddCEixmk3d1dZmZmKJVKH2obHydu3l+1WhWZgR/WKfDjojqCf3cOX6vCgxbsd6E8gqEBK3HY+X2f9B5+dLiVdI/HI1roPioeP36MoigfWoBd5ujoiHa7ze3btz/U79ZoNOLJkyek02kWFxdvJGaHwyHn5+f4fL4bfwZYlsWDBw8wTZNoNEqhUCCRSDwjyhzHEfPNvV4PRVG4f//+tXOB0+mUTqdDMBgkmUximiYHBweig8K9UOOKR4AHDx4wnU4JhULiM/dybmilUqFWq2FZFoqiEIvFREcDfMsN022th4vP5bm5OWlYIpF8AkhBJ5FIPjSmaXJ6ekq/3xd/1H0+H/Pz81eG+KvVKrVaTTzGXURcFiS1Wo12u33FOS2fz19x4tR1XQg2y7K4d+8ecCFygsHglQqTpmk0m00cx2F+fl68hmvo8jSXq2+qqpLJZMjn88+90u44johwcEN5Ly+YboLrhJlMJm/8HIDj42OazeYrOeY9Dzfg+MNUDF+GaZocHh7S7/dJpVIUi8W3JujXcaAxgUcteNy++m9fd7iVcthM2mwkLDZTNl8qhVhOQL/bxjCMK9u67PLXbDaFoYPX68Xj8eD3+z8yR8ePgtFoJNwJX0XgvCr7+/tomsadO3deazturECxWHxl8yJ3juvp/7+I8XhMuVym1+vh8/lEC/aLHj8cDoUYqlQqonJ1HYPBgP39fTEL57pcPv351ul06HQ6IvMtl8td6ZxwL665nRGO43D//n0URWE4HOLz+cTFNfci3K1bt/B4PKKa7s4yj0YjBoOBEKFut4BrknXZ/EoikXz8yNgCiUTyofF6vWLuRtM0MYPnLjz6/T4nJyfE43GWlpZEC89gMBDCDS5mQty2I1VVxQLEdaV0HIfDw0Mxp1EoFERrJ8Dh4SGmaRKJREgmk6JV8/JMmK7rnJ+fc3Z2RiQSEbbc7iIkGAyysbHBeDymXq/TbDZpNpvcu3fv2rZN1/3Spd/vs7e3J2ZnXibsbNtmMBhQq9VIp9PCQe4mLCwsiJao18Vtt/soBJ3rgvqiWciPGseBs+G3BNvDpsOjlsPj9sX3VqM663GDb1uM8X3LEOwfEDE6V2bowp4w66mL0ONarXblvQsIIx/gisGQSzKZFG2mDx48wHEcEUng9XpJJBIfyfn/sEQiEdbX14VQUhTluVXu10HX9TcidEejEel0+pXEnGEYHB0d0e/32draIhQK3UjMPV3BzOfz14pdt8JWr9cZDod4PB4ymQwej0d0JVzel3a7LUxK3AtemUyGWCwmqmaXLxi5piLRaJT5+fkrlTiARqPB6enplczQp/MlDw8PRdeDqqrEYjFxMSKXy4mLXO4FDHfGzn383bt3b3q6JRLJpwRZoZNIJM8wHA6pVqsMBgMx6xaLxYQBAFwsfNwwcEC0DaXTaVHN0TSN3d1dMYQfjUZFbIHX6xUtR51OR2zHDaG9jGmatNttms2mMAZYX1+/1uHPNE0Gg4FYqJ+enhIMBslkMtcu4C5HHcDF1fJisfjCq9ZuO6KbufSiOZoX8TrOfm+qSnKZXq8nDG8+TvODtgYP2he395sOH7QcHrZhNWqS9Pq5nYa806RAi+WIRtpnEgwGCAaDIm+x2WwKsewKLp/Pd8VA4mkURRHn3/2+ZVmYpollWaiqKn6uZ2dnIjDcDQ1PpVLMzc3hOA7vvvsugUCAUChEMBgUQuOTCggfDAYEAoGPZL7y3XffFRczXofLTrY3od/vc3h4iG3bzM3NvbStVNd1LMsiFAphmib1ep1CofDcCyrD4ZDDw0MhwPL5/DNt3E+3VALk83nRTXD5td1Mzel0yjvvvCMMp3w+Hz6fT3QutNttEVjuZo+6rZSj0UhEDcTjcSaTCcfHx6K6pigKg8GA6XQq5ugODw9FpIGbGSeRSN5OZMulRCL5yHHz5/r9PqPRiI2NDREeaxgGsViMQCDAcDik2+0KC2y3EjcYDIjFYui6Trfbpd1uo2kat27dIhKJCKHn9/vF4iYajRKJRER7lBvKe9lVs91uUywW8Xg8Ioj3OiMV27bZ2dlhNBrh9XrJ5/PkcrlrxZobRNxqtQgEAjcSSq5him3b3Lt375XEWbvd5uzs7EM7+52dndFoNPjiF7/4ys+9juFwyM7ODsVi8RlB/SY5G8K/OIMPWhcC7oP2hZnJrYTJkm/AUmDIanDMalgj5TP5whe+gMfjEe3BwWCQYDD4kRt/vAqWZVGpVNA0jclkIt7Xc3NzFAoFTNOk2WySTqc/9sW1bducnJwwMzNzY7OQF2FZFu+++644tldlNBpxdnbGysrKK4ndcrlMpVIhFAqxsrLyUvOSWq1GtVolEom80DzJMAxM0yQUCmEYBoeHh+Tz+Wvn4wB2dnYYDAb4fD4ymQyZTObKvozHY87OzkSkh1sFdsO/3ZzNTqcjqmzhcJi5uTlxgardbouWS9M0URRFfK7Cxe9qs9mk3++LKlw4HGZzc/Ot+r2QSCQvR7ZcSiSSjxw37+ppR0jDMGi1WqKqFYlESKfToj0NLqo9h4eHwso7kUiwurqK4ziigletVmk0GoTDYWEE4H5P13XG4zG9Xk/k1qVSKRKJxJWWzMFgQLPZpFwuk0gkyOVyot1JVVVu3bolKo7lcplqtcrq6uozx+T3+1lcXKRQKIgFueM4wrXzusVdJBJha2uLyWQiFlKXc8NehGsnvr29zcbGxisvtsPhMLZt0+v1nmnJ+jCUy2V8Pt+VfMKPgj/4b8Gx4NsLFj8yP+BXfGeYtbSfbndAvV4nGo0SDGZFpcs9r28q7uGjwOPxXHlPWpaFpmlCsIzHY87Pzzk/PycWi4kq9cdhMGNZFt1uF+CNtF96PB5u3779oaq3o9GI3d3dD3XcqqqSzWaZn59/rmhxHIdGo0GlUsE0TVFBvY7JZCLmf6PRKBsbG/h8viviz63Gtdtt0XpeKBQoFAqiOmbbNp1OR7Q1qqqKruvMzs6SyWREXMxoNBLPqVQq+P1+ETxuWdaVdt/z83Ns2xZVOTcWwc2km0wmdLtd0Y4Zj8c/sUqwRCJ5O5AVOolE8qFwM7HcK8mhUEgsGE9PTwmHw3g8HvEYt6Xy7t27BAIBLMvCMAy63S7dbveKE6brnuc4DsPhULRluuYA7qLJ5/OhKIowUmm1WmIhd5173WQyoV6vUyqVbpQd1W63OTw8JBgMUiqVXmqC4s6/uDM6L1v0uvl4iqK8sqhzHIdHjx6RzWY/VKXkMtPplAcPHlzb7vomsW2bH/zHBl+OdPn1sXMcx/lE5/Q+TqbTKe12W1SpFUXh7t27H0vF7uTkhFarxf379z8xl9LhcMje3h5er5eNjY2XHrfjOFQqFXGx5yY0Gg1OTk6IxWKUSqVrf6/dizvuhaJMJkOhULhyEebpzxOfz8fa2prIW3Rz6NysONu2r0QHuK/TbrfpdrsYhkEwGBRVf9M00TRNfPZNp1N8Ph/3798HLj4X3M/Nfr8vHCtXVlZIJpOv3KoqkUjeXmTLpUQieatwZ64Mw+DRo0dXLLHj8TjRaBTDMIS748HBAaPRiFQqRTKZJBAICEMVt0q0u7sr5u78fj+apokK3sOHD7EsS4TzBoNBcUXd6/USi8UwDIPj42Oy2ey1LVS7u7v0+33hAHfdwrHT6VAul9E0jUgkQqlUunZ2Dy4qlycnJ3S7XaLRKIuLiy8VaZqmsbOzg+M43Llz55Uc597UnJubA+gGGH8U2LbN+++/zzd6Af7Y8Rp/YnPIH7gXJBx+O9wzP07G4zH9fl+4rJ6enopQ64/COn48HvP48WMWFhZeK87AbQVcWFh4pda+0WjEzs4Ofr9fVMJetr9HR0dMJhMKhcJzq2xwEUWiKAqJRALbthkOh89Ucy8LoHq9TqVSeW77tXtxw91mNpt9JjPu0aNHTCYTvF6vyNiMRqPiMScnJzQaDVRVJZFIkEwmicVi4rjPzs6o1WqiAyKRSIi5ukgkgmEYvP/++yJj0O2SeJsjQyQSyYdDCjqJRPLW4jiOWLT2ej1GoxErKyukUil0XUfTNAzDoNPp0O/3cRwHn88nDEkAkcnkzqK4bZ2pVAqfz3fFmMBxHKLRKLOzs1fE1nA4FDl5bjthNpsVizg3jNkNCg4Gg8zOzl6JbnCPp9VqibbE27dvv/D42+02JycnOI7DwsLCSyMKNE2j1+t96ErbZDJ5rVgBdw7QNRh5U0wmEzqdjnAxrNfrhMNhDvQov+ffQCEIP/mrYO7V/WQ+U7gVNNu2icViLC4uvvG4hMePH+M4DltbWx/q+W52pdty+Sq4FzoWFhZeKOZs2xbZh16vl8XFxee2Ew8GA8rlshBwbnD2ZSzLotlsUq/XKRaLZLNZ4cDrClJd12k0Gti2LYxNms2mEFluRma322VtbQ1FUYSIjMfjV4xNVldXxUzxdDolHo8LU5Nut8v6+jqRSERU4FRVZTAY0O12MU3ziquqpmlvZOZRIpG83UhBJ5FIPjWYpomqqqiqKizVVVUVlTu4uIofCoUoFos4jsPJyQmJRIJgMEiv16PVajGZTFhdXSWZTGIYhnCJbLVaNJtNZmdnSafTGIbBZDIR4q7f71Ov1+n3+6iqyr17965cmXcre9VqlWw2Sy6Xw7ZtYR3uYts2hmEQCAQwTZOTk5PnZrS5i9hcLvdK81+j0Qhd158Rlc+j2+2yv7//2tl2r+O4eR39fp/9/X08Hg9bW1vPVEIMG/7M+/A/PII/+2X40XX4PHeQ2bYtZkFdF1e3xe9N4IqSpaWlD1XVdX9v3d+/m+C6M9709dz3ciaTYX5+/tqK1Hg85vT0VOSxubNql1/DMAzq9TqNRgPLsojFYhSLxSsXewaDi5lN94LQ5TZtt6Xy8gWjUCgkBJtpmsLYxM2Si0QizM/PiwrbyckJ/X4f27bxeDwkk0kRZwCwvb3NcDgUVbxUKiWrcBLJ5xAp6CQSyacSN8fNzazTdR1FUfjCF76AqqoYhoFlWWxvbwsh6C54AoGAMMqoVCqUy2WRTZdOp1FVFUVRqNVqnJ2diZy2TCZDKBQSmXtu29n5+TmBQEA8F77VxthoNDg7OyOXy1EoFJ6pLLgzQZZlkclkmJ2dfWG74vn5xczY7OzsC4XT/v4+3W6XUqkkWvJehOM47OzsMJlMuH379lsRhN1sNjk5OSEUCrG2tvbCqsz7bfjRfwO5IPzkr4T5N99x+KnCzRBbXl5+a4wuxuMxT548IZlMXjub+jSO43B2dka9Xmd+fv6FRjuWZQnDEPe1XiRku92ucO3MZrPX/i49efJEtHPPzMw8sz1XnHq9XnEBx+/3i4sag8GAnZ0d8fmRTqdFtS4UCmFZFu+9957Iz3TjBADS6bSYb43FYni9XizLot/vo+s677zzjsjsdONg5CycRPL5RQo6iUTymWAymTCZTERA85MnT9B1nWQyidfrFS1PpmmyublJNBoVWWBu26VrMpFKpVheXr72Cns4HObWrVti8eQ4Do8fP2YymeDxeMTCzhVEk8mEarVKp9MBEOYJl9ugTNOkWq1Sr9dRFIV8Pk+pVLr2OE9PT6nX6wQCAZaWlp47K2XbNsfHx7TbbbLZLAsLCy9d8Om6zqNHjwiFQiJa4qZYlsXe3t5zZwhfFXexHI/HWVlZuVHFwbDhz74P//0j+DNfht/7Oa/WuTiOQ7/ffyMupq/D9vY20+n02krr09i2zcHBAb1ej3w+z9zc3HPfj71ej+PjYxH7cd17xTAMkffotmM/XU0ej8dCPLpGTF6v98rvcqPRIJVKEYvFmE6nDIdDUqmUaKduNBrE43HRdtnv94lEIvT7fVqtFv1+X3yGwMXv3GAwuNI2HovFhEtmt9vl+PhYxA5Eo1ExkyercBKJxEUKOolE8pmk3W7T6XSEEPP5fMzMzBAKhYTxwOnpqZhzSafTeL1eOp0Otm0LpznXAt/v99PpdJhOp8JcodFoEI1GCYVCDAYDGo0G3W4Xx3FYXl4W4hIuTBJqtRqtVktkPT2NruvCavxydMPTDAYDjo+PmU6nQvw9r1rn5m7FYjFWV1dfughstVocHR3duLLn4uaKvaySclO63S69Xu9GQvRpPmjD7/k3kP1mtW7hNap1tm2jaRrT6ZRoNIrP5xMV2qdxg+4nk4mInQgEAp94plez2eT4+JiZmZnnXii4Kefn5zSbTd55551Xfq5hGOi6/lw32MuP29vbYzwev9CAxTRNTk9Pabfbwh336Sra5Sw5x3EoFArPnIPBYEC1WqXf7+PxeFhdXRUtje5FnVqtJtxs5+bmxHt8PB7TaDRot9vYtk0kEqFQKIhW51qtRqVSwbIskTmXSqXEfh4cHIi4Avfik67rpNNpYrGYuCDkVvCkiJNIJNchc+gkEslnErfFybIsYQ2uqiqxWAzTNK+0Urrf93g8ZDIZIebcxzmOI1oqXWt893vuIi6bzbK0tIRlWTQaDbEgHAwGTKdT0uk0CwsLzM7OihBf0zSvBBD7/X5RGYQLEbi7u0uxWCSdTgthE4vF2Nra4vz8nEajQTabfa6ZyezsLIFAgG63eyNhkclkGAwGr+xS6bapusf2YXGrJm6e4IfhXhq+8pvgz70PX/pZ+NNfgt+38fxqneM46LqO1+sVlZnz83NhuuNy69YtfD4fo9GIk5OTZ7YTjUbxer0MBgNOT0/F/X6/n2AwyPLysliwAyIu46Mmk8kwGo1EQPbrVFDd1uZXYTKZEAwGhQPjyzBNE8MwWFtbe25V0bIs4YLrhtg/vV9u5c4wDFKpFLOzs1cq47Zts729zXg8xufzUSqVyOVyV0TTzs4Ow+EQv9/P3NzcM3N29XqdTqdDOp0WwrPdbos2Sa/XK1q93TzK7e1ttra2CAQCFAoF/H6/yOS0LAtVVQmHw8RiMUKhEMvLy690viUSieTDIit0EonkU8NgMGB/f18snlwrcPcqutsuVS6XxaxLu90WVRnXadM0TWGkomkaqqo+EzZ+dHREq9XC6/U+Y3E+Go04ODhA13XC4TDFYvHKYns8HnN8fMx4PCYUClEqlZ5Z4LrOm3BRXUulUi8UboZhiGrTm2ZnZwfTND+0A6Jt2zx8+JBCofDGgsmfV62bTqe0Wi263S6apuE4jjCEGY/HnJycEAwGxbyle3NDoF2Xw8t4PB7xfU3TRGXP/Xdzc1NUht322lAoRCqVEpEaHxXuPJaiKK/lUPn+++8Tj8dvLDImkwlPnjx5YRuxy+W5t+eZ61yO2KjVasRisWurcqqqMh6POTs7u5Il5zrnul+fnJwQDofF/Kuu67RaLWZmZlAUhXa7jaIoJJNJhsMhzWaTTqfDrVu3CIfDGIYhqnjNZpPxeIyiKKytrQn3ynK5TLfbxbIsvF4v8XicZDIpqnjvv/8+juOQTCZFvMAnXdWVSCSfLmTLpUQi+VziOI4wVel0OhiGIcLKXefLR48eYdu2qORFo1E0TRORBe12m+FwKGzMm80mc3NzeL1eYdSSyWQYDofCCU9RFGZmZoQFv+M4tNttKpUK0+lUtGNeXtC1223K5bKwML/OWn0ymfDo0aOXztYdHh7S6XRYXFx8qZtlu92m0Wiwvr5+owWmayLzYXPo3Oe7M45vCne27itN+Hv/ESj2RT4XXFQ7I5EIwWCQWCz2sQR0u3bzmqYxGo2E06IbCP1R4QbcuxckXpXRaMSTJ0+eaSd+HqZp8uTJE2zb5vbt2y+szrkzky/atmtksrq6em3b5mg04vT0lGAwyNLS0pXvudUx9/fszp07V4x/RqMRtVpNtEy770Hbtmk0GjQaDabTKR6Ph3Q6LULEDcPgwYMH2LZNKBQim83i9/vxer1iTvfhw4eiYmcYBr1eD6/Xy71791AUhel0it/vl6YmEonkQyNbLiUSyecSN/8pHo8zNzfHZDIRC7yTkxNhduA6ZtbrdWq1GisrK6LC5l7NbzQaYjHn0uv1aDQanJ+fk8vlWFhYwLZt6vW6EA1ugLHrrtlut5lMJkI8uRULNzfPtU93uVzFcI1Mjo+P2d7efu5s3cLCAqZpcnR0hKZpL6yaeDwehsMhJycnzyyQryORSDAYDK7s401xs8MuR1C8CRzHYdTv8TvibX7mqMg/KYf4TfM+lpeXr4Q0vy6VCfzjKvzoDQpXoVDoSovsdDplOp2K/X306BHhcJhMJvNKURUvI51OMxgMPrSD6eXw7ZfhOA6Hh4fous7m5uZzz7PjOBwfH9NqtUin09e2g1qWxenpKa1Wi1Ao9Mx72m1/brVaIify8vZdIadpGqFQiJWVFXEOTNNkb2+P0WiEx+Mhn8+Tz+evmLZUKhVCoRCzs7NEIhE6nQ6NRoO5uTkReRAIBBiPxyKL0r3w4vV6KZVKnJ2diQpdLpe70kL9NjjKSiQSCcgKnUQi+Qxx2dnStm38fj+ZTIZAICBEXq1WYzAYkEwmRUvmeDwmGo0KwxO3MtfpdIR7pWuoAt8yIAkGgxQKhSvzOZqm8fDhw2tbMeGibfTw8JBSqXSl0mbbNufn59TrdSKRiHDTu4zjOJyengpHPne26zrcWIfZ2VnhDvhR4J6LN1Wde3oh7/V6+YfaAu9PU/zt73q9bWsWfKMLX2lf3H6uCW0dAgrUvg8ir6ERLcvi7OyMTqeDZVmEw2FmZ2c/cYdKuKhijUajG7XDum2li4uLVy50XEbXdQ4ODhiNRhSLRVG1vow7B2eaJjMzM8/MyvX7fRFon8/nKRaLV2bgdF3nwYMHBINBisUiqVQK27aZTCaiyre3t0c8Hr9STdd1nTt37ohtjEYj4VL5tBOle6yAqPI6jiNMmAaDgRCsMl5AIpF8FMgKnUQikTxFIpEgkUg8Y6iSyWRwHIdKpYJpmozHY3q9nmjDumxOYlkWx8fHoj2r2+0KQwbbtmm32yIeoVarcXx8TLlcFvNjbutkpVJhf39fhKW7rXJerxe/38/R0RGNRkOEEauqyvz8vBCaLpereYqisLCwQCgUotFovHCBWSwWmU6nlMtlUV14GbquY1nWc41anvcc4KUOiDelXq9zdnYmKjLJZJLSVGHt78PQgOgNRZfjwNH4W+LtK2140IdbMZgLwpM+BG34yXfgR5bA+5qjTx6Ph8XFRebn54Ug3dvbY2Nj40qg9YfFcRxh8vGqlaFIJHLjn4/rGvs8MQcXraeapr2wBXQymeD1ep9ps3Tfz6FQiFgsRqlUIhgMiviA4XDI4uIifr9fzLuZpkmlUqFer+M4Dvfv30dVVZaXl2k2mzx+/JjpdIrP5yOXy4l5vWazSaVSwe/3CxOT0WiEZVl4PB6i0agwzxkMBgwGA5F76e7fm/jZSSQSyUeNrNBJJJLPBcPhkO3tbeBigRsIBLAsi8FgQDQaFfNto9GIcrlMv98X2Xa5XI5oNCpmmVxXzXw+z3Q6pVqtYtu2qKq5n6vtdptqtYqu69y9e/dK+1qr1eL8/BzDMCgUClcqgC71el1US55eWLqLVrf987oWP8dx2N/fF9Wil/HBBx/g9/uvjWZ4Hq6JyOtm2LkLfdM0GQwGzwiF7/8X8NuX4Yefk2s9NOEXO1cFnEeB70jDt6fhV6Sgq8OfewKNKfzJLfhPF15fyD0Px3HodrviOEzTfGmG28u29/Wvf/2VKq6O43B+fk42m73iEnkdk8nkpUL+8mNcUXSZy62d7u+Ae9FB13VOT09FnuRlOp0O5XIZTdMIh8NsbGzg8XgwDINarUaj0cC2bRKJBDMzM6IS7P4+RqNR8vk8qqrSbDbJZrMkEgkMw6DT6aDruvj3cryBbdu89957OI5DIpEQrbLS2EQikXxcvFUVOkVRfj3w3wMe4K85jvNn3sR2JRKJ5E0RjUa5f/8+rVaLVqtFu91GVVU2NzfFwlTXdba3t8V83nQ6pd1u0263uXv3rnA0dM0W6vU6qVSKtbU1sYB1zRTcCl86nWYymQgxd35+TiqVIpPJkEwmqVQqVyoul90AXRfAnZ0dstksc3NzYl8vOwaWy+VrW98URWF1dfXGrWKFQoHT01OGw+GN2yddF8nXoVar0Ww22dzcxOv1Xlv1+eEV+OsHF/8aNjwewHs9+Hct+Pk27A3hC4kL8fYj8/CX3oG5b+qTf1KFP/7ehaD7k3fgt82D5yNes7sXA+BipnJnZ4f5+fmXGtq8aHuuOcdN6XQ61Go1YR7zPLrdLvv7+881NnFbfZvNpqiaXRZzpmlycnJCp9MhHo+TSCTEe86dsazVasBF5dh9j0+nUw4PDxmNRgSDQVZXV69cGNB1XfyOzczMYFmWyGacmZkhlUqJqtv5+TnT6RSv1yu2Ydu2iKGIx+PEYjEMw+Ds7Izbt28Ld9twOPxaYlsikUg+aV77E0xRFA/wl4HvBc6AX1QU5Wcdx3n0utuWSCSSN4kbUj4zM8NoNKLX6wnRVC6X0XWdRCIhvuf3+8nlciJoGi4qax6Ph7W1NQaDwRUzFE3T8Hg8JBIJIfrS6bQI+tZ1nWazSbVaJZPJMDs7e6Uy12w2qdVqzM/PC5ORra0tyuUytVqNfr/P0tLSlWpdoVBgOp2KmbOlpaUrFQZ3YT0ej4VT4vMqMdlslkqlwvn5+Y2rdOPxGNM0P7QJSKvV4uzsjFQqdW348siE9/tQteCfd+ELPwc7I1gIwfflYCsGv3cR3klA4NLTHQf+YQX+1AMYWvBHb8GvnQHdgccjmNgwsaCiw/dlbt7K+WEIBoOEw2GOjo7w+Xwf+lx5PB5M07zRY23bplKpEAwGX+iM6c50Pi/nzjRNDg4OGAwGYrbsMp1Oh5OTEyzLolQqUSgUxPcmkwl7e3vouk4qlWJubk7MqcFF+7Ft28K5dTwec3BwINpXI5EI9+7dYzQacXx8zGg0uiLYFEXh+PgYTdOIRqNkMhksy2I8HovZ2ZmZGTRNYzgcYpqmcL51ReWbNK+RSCSST4o3cUnq24A9x3EOABRF+SngNwNS0EkkkreWp+eKdF2n3W7jOI5wMzRNk1qtxr179wDEYrrZbNJoNESrl+M4mKbJo0ePCIVCwgSiXq/TbDZptVoiEuDu3buiYtFutykUChSLRVRVFYvd3d3dKwvgubk5UqkUR0dHzxyHqqosLS0RCoU4OztjOp2yurr6jI2/x+PBtm12dnbY3Ny8tmKjqipzc3Nivu8mc3fVapXRaCTO0avguhxGo1GWl5dRFIWv9+AvHsLu+GIGrmVAzg+FAGRioHrghxbAcODQgkc9+HudC3HmirSOAV0TbAdQwOeFP3oIoWMIeSCkXtzfMi9u/+QL8N0vd/P/0KiqytraGo8fP+bk5IStra1XbutzHAfDMG4cz+AK/OuiMlyGwyF7e3v4/X7W1tae2SdN04Qgc7P+nn7+wcEB4XCY5eVl8Z5yxVIgECAUComLEG4lbzgccvv2bTweD1tbW4xGI/b29uj3+3g8niuisFwu02w2CQQCzM/PoygK3W6XbDaLoiiUSiXG47FolYYLgxO3JTQYDFKv10kmk6TTaeLxuDQ3kUgknznehKArAaeXvj4DfsUb2K5EIpF8bCwtLTE3Nyeszfv9PrlcjrW1NdEu6YaJ5/N5FEWh0+lwcHDA7OwsMzMzLCwsUK1WOTg4IBAIUCgUuHPnjjCzgIu5n0wmQy6X4/z8nFarJWai4vE4d+7coVarUalU6PV6zM/Pk81miUQibG1ticWo64bpitJCoUAwGOTk5OTa8OxAIMDGxgbb29vs7OywsbFxrajLZDJi3ugmhEIh4ex4XYXtRZyfn2NZFgsLC+K49sbw73uQC8B3ZGAmAFHvhQg7HsK/qsJ3Ll98HVK/JdCCKvxCC35yH/LAX9iE3zoHYc/FLB1cVO3+aRv+21N4fwh/aB7+9yXIfvQRdqiqysLCAjs7O1Sr1RvNNF5mOp2KzLSX4drwvyg+wbX99/v9bGxsXNty6IZqb25uXrn4YRgGPp+PaDQqjGvcec5KpUK32xUtjWtra+L+arWK4zhks1kh+ur1Oqenp3i9XnHhwn3/+f1+YVhkWRbVahXDMAiFQui6TiAQYDKZUKlUROXTnSltNpsUCgVSqRTJZPKV35sSiUTyaeJNCLrrLnU947SiKMqPAT8GF3lKEolE8rbhukHmcjnR3uXz+RiNRpycnODxePB4PNRqNRRFEVf93WqB3+8nmUzi9/tpt9ucnJxw584dMZdkWZYQMW7LpdfrRVVVYWCSzWaZmZkhnU5zenp6xUjl8lySa9Huikm4cPm8e/eueNzTs3BPi7pbt25dW/F5lbk7t2V1Mpm8UmyB4zhomkahULgiUn6oeHG7DsOG2W343gQsf7Pr1Hbg75/BTzwCFfjTd+E3zYJ6afc1C/5W7ULIqcAfWYCfvQ+Bj9n7IhaLibbAV8U1q7mJw2UgEBBRAM/D6/WyuLhINBp9JmvOFVMzMzNks1kh9lyTlUajwdbWlogDgYvWy9PTUwzDEK6ycFHl29nZwTCMC8fSUgnHcdB1nWAwSDKZxLZt0uk0jUaDR48eYVmWiAvxeDycn59j27aIKHBdNgOBgIgsmE6nosKXy+VEXIQ0OJFIJJ8H3oSgOwPmL309B5SffpDjOH8V+Ktw4XL5Bl5XIpFIPjKetlp3HEfYmrvCpd/vE4lE8Pl8wlbeFXuuO6ZbBTs+Psbv93P79m0xX+dW62ZnZ8Uid39/n1gsxvz8PKurq2IfXBfA+fl5fD4ft2/f5vj4mPPzc/r9PsvLy/h8PiHE3Hy4mZkZZmdnxf3BYJCNjQ2q1epzjSAuC0LDMF44g+WKMTfL76YoisLm5qZY+N8Enwr/ySL81BH88bvwd8/gJx5eCLOfuAvfPwuuDrUsi516h79yBn9rmOCWd8IfCtb54VszxGJROp0Oj4+Pn3mN5dU1fOEoUxumDmg2F///5teX/z+wYGcCvy0LG+GbHcNNgt6v4/L77mV4PJ5rXVPhQnibpkksFnvm5+o4DicnJ6LC5vf7xXtE0zQODw8Zj8fkcjkhAi3L4uDggH6/TzgcFjEFbntyIBAgHo8LYVipVGi32ySTSdEabFkWDx8+xLZtUqkUkUhEVNSCwaBoax4MBuJ9GwqFSCQS4oKE1+sV8SBSxEkkks8brx1boCiKF9gBfg1wDvwi8Dscx3n4vOfI2AKJRPJpZDQa0Wg0ROD4nTt38Hg8qKpKq9WiUqmQSCREXp1beVhaWuLg4IBut4vH4yGfz4uKRKvV4s6dO0IUNptNyuUypmmSzWaZn58Xgejn5+eoqkqpVBLzbc1mk9PTUzweD3fv3hWLWXdx3mw2SSQSLC8vX9t2ZlkWjuNcK+52d3cZDoeiGvM83ADotbW1G51H27axbftDOQv+2xr8yL+HaBAiXvh/3IHfULwQcrZtY1kWPp+Pn9id8l+f+yh4TOb8Nj4Fpo6C4/Who6JZNhPTZuoo6A7f/FfBBgKqgh8bHzZBj0rYoxBQFVTlQshNHBjY0Lcg6oG/tgI/+PJxQ4HjOCIC4KaV0HK5TDKZFBXR63DNQ1ZWVq5tp51Op2xvb6MoypVKLly0Ue7v718bFu6+x1RVZXFx8RnzlN3dXRKJBLlcTrhIDgYD7t69i8fjQdd1KpUKrVZLVN6y2ax4Tx0fH2NZFsFgkF6vx3g8FvOmiqLw5MkTRqMRPp8Pr9eLaZoYhsH9+/fx+XxXsholEonk08Sbii14Izl0iqL8RuAvchFb8L84jvPfvOjxUtBJJJJPM5ZlXWkx3N7eFqYVbtaVWykIhUJiZqhcLjOZTESo+crKypVqxN7eHuFwmGw2S61WYzQasbm5KRbe0+mU4+NjkZ23uLhIMBhE0zTG47Fo7bwcfdBoNDg9PSUQCLC2tvaMMNve3sa2bZH9dRld13n06BHBYPDKfjyNpmn4/f4bL6pdm/zbt2+/UKBch+3AT+7BQgR+fRHAod/v02636Xa7ZDIZ5uYX+N+68PWuzkrUT0CFgHIxZxe4fFO+9f/gN7/2Khfi8Lxa49+Wu7xrBvnAifGAGD3Hy7fHFb4jBt8Zg2+LQvxD9Lm4s5e3bt26UeD3ZDLh0aNHLCwsPNeoxrZtHj16hOM4bG1tPfOzNAyD7e1tkQN3uc3VdaM0TZOlpaVnKnenp6dMJhNRBXZjAlZWVoQofzqeoFAoMDMzg6qqVCoVKpUKuVyObDZLs9kUMRXhcJh+v8/x8bFow4zH4ziOI0xQXHMhd44wGo2Sy+VIJpNSyEkkkk81b1UOneM4/xD4h29iWxKJRPK24/F4hJizLAuv1ytClQOBgKi0hcNh5ucvOtK73S7VapVgMEihUEDXdZHnpWkaqqri8XioVCo0Gg1KpRKlUglFUYSBRbFYZGNjQ4SSu+Ynl7Pg3JBmN57Abfs8ODhgOp0+I+hmZmbY399nf3//GadDv9/PwsICh4eH1Go1Mav3NK+aQzccDoXYfVVUBf6zNaiZ8LPHDR51R5w5PipqnEZghsoowNkDyHuhPfVzX4fvjcH3xOFXhMH/nPV/x4R/04d/P7i4/eKwQMmf58tRg1/l9PnR6T73Yl421i+qkJqmEfR+uPw9970zHA5vJOja7faVXLvrcB1OrxPmlmWxu7uLYRhsbGw8c95rtRqO4wiB5e6boihEIhHRvunO0FWrVfx+v8h9cx1eDcMgnU4zOztLt9tlMBiQSCTI5/PE43Ha7TZPnjzBcZwrVT6fz4fP5yOVSqFpGvV6XQSUJxIJksmkyG/M5/OvfBFAIpFIPuvIJE2JRCJ5DTweD6urqyIEudlsCudGd+FpWRatVotsNstoNKJWqxEIBERF6ejoiMlkQj6fZ319nUqlwvHxMfV6ndXVVdFKuLe3RzweZ35+nnv37omKWbVaJZlMEgwG8Xq9WJbF48ePmZubI5/PE4vFuHfvnhBrl4VdIpFgaWmJw8NDDg4OnjFESafT9Ho9yuUyiUTiuSKs1WoxGAxuNCM2HA4Jh8PPrfg5DtRNODLgUIejS7dDHU4MiHtg1kkw5w+xFvbyvdEAKwGFJR8s+C+cLyc2/Lsh/PMB/OEz2NHgP4jC98Tgi0HY1+DnvyngTqfwy6PwnXH4I0X49hhkfArgB7LYdlrMhem6zsOHD19YMXsRPp+PQCDAcDi8YtF//blwaLfbxOPx57ao9vt9Go0GhULhSkahS6PRQNM01tbWrghI15l0YWFBtKo6jiMqavF4nPX1dRRFETmGmqaJkHv3goLX6yWdTpNMJjFNk93dXabTKfl8nkQigaqq7O3tYVkWqVQKr9crQs/dqh9cCEs3vsOyLOr1upiTu3//vnSqlEgkkucgBZ1EIpG8Ady8uNnZWWF24raL9ft9er0ecGG2ks1mGY/H1Ot1stksi4uLwta9Xq8Ld8Fms4nP50NVVW7fvi3m6x49ekQ+n6dUKomsvEqlQqlUIp/Ps7W1xdHREaenpwwGAxYXF4UYGAwG7O7uXnHHTKfTWJbFyckJp6enzzgRLywsEIlEXliJc0VrLpd7adXJNM3nPuY/OoR/M4KgAvNeuBWANT/cD8IPxCE56bLkg9l0kgux9fzMgZB6UZn7nm8697dM+JcD+BcDeG8EpgnfEYM/OAP3Ihftls/DFRqACI93W1k/TDi1K1peRq/XQ9f155qcwIVgC4VCz41CmJmZIR6PiwsMjuOIObfNzU0xB2oYBgcHBwyHQzKZzJX3QbVaxbIs1tfXCYfDnJ2d0W63xXxlJpMR77dQKMTy8jKGYQAXBjjz8/MMh0O63S6GYRCNRsX+eL1eHMfB5/NhmqaoXrstxIAUcxKJRPICpKCTSCSSN4iqqmSzWfG1OzMHF4tSNwQ5FAoJF0u/3y8s/KfTKeVymYWFBTY3N4GLBfiTJ09IJpNsbW1RqVSYTqcoioLP52Nra4vj42NOT0/pdrssLi6ytrZGvV7n7OyMfr8vFsfRaJRUKsX5+TnT6VRkwOVyOVRVvbbC4xq5AM81oMhkMpTLZer1OsvLyy88R4qiPNfd8k/l4Zcm8EiHr2vwTyawa8Evc2BoTElX6wTD6jcF3auR8cIPpi5ur4PH42F5eZnt7W0ODg64ffv2jeIELnN5zvFFmKZJKBR6xojkMisrKxiGceXnYts2x8fHlEol/H6/EE+2bXN4eEi32yWfz4vnaJom5indEPHJZIKqqgQCAfE+6Xa7PHz4EMuyyOfz4kLBeDxmPB6LWIKTkxMsyyIWixEOh5lMJjQaDSKRCLFYjOFwSKVSIZvN4vF4SKfTV9oqb9KKKpFIJJIL3ogpyqsiTVEkEsnniel0SrVapdVq4TiOCAR35+vcGIPJZILf7yeRSDA3N4eqqnS7XUzTZDAY0G638fv9lEolUqkUiqKgaRqVSoW5uTn6/b5wI3RbMi+3V2qaJqps7ixUPB5nZWXlSgXEcRxarZaoMrqMx2N2d3dZXl6+tip1dnZGvV7n3r17z2SbXabdbuP1em9U2dIdeKjBV0cm/7La5bESZk8NUfIp/LIg4vbF4IVgex0sx0FzwHYcYp6Xm21Mp1OePHmC1+vl1q1br1RFGg6HAK8U9fA0bjXs6VZM27bZ29tjMBiwuroqxKA7izkajZifnxciHS5+5qenp+TzeQKBALVajXK5TDweZ21tDcdx2Nvbo9/vE41GmZ+fZzQaoSiKMP2p1WrU63UMwyAej+P3+8lkMkSjUTRNo1wuiygMRVFQFIXFxUXS6TS2bWOa5rW5iBKJRPJZ5a0yRZFIJBLJ8wkEAiwuLjI7O0utViOZTBKNRjEMg9FoxOnpKV6vl0QiwXQ6pdFoMBwO2dzcpNFoiLy7UqlEp9Ph8PCQRqPB6uoqk8mEbrdLr9djbm6Ora0tNE0TQswVGdPplMePH5NMJllcXKRUKhEIBDg5OaHT6VypKrqug4PB4Eq1zZ3ROzo6Ymtr6xkhkc/nxaK+VCo993xcbqV7GX4FvhB0CB7t8m2Gxq1bt/AFFbanFxW8r2vwE014V4OU50LcfSnk4PVCz4b+N289G0zHoanYTBzQLt3cr00cvKrDohf2Zl4uLAKBAKurq/R6vVd2W7yJkHOjDa7DzSx0BbmLG1Dv/uwuV/aOj4+ZTCZC5FmWxenpKaVSCZ/Px8LCgqjUjUYjUqmUaLt0DVLcWU137jOZTApB12g08Pv9pFIper0e/X5f5OfZtk2n00FVVVGhVVVVzOFdbmmVSCQSyashBZ1EIpF8TPh8viuzULVaTRhBmKZJr9fD6/USjUYJBoN4PB7W1taESDo/PyeZTJJIJBiPx3i9XlKpFOFwmOPjY46Pj0kkEiwuLgIXlb/z83MWFxdJpVLMzMyIgPLV1VWy2SyRSESIBrcNMJFIUCqVOD8/F6YZcLHoXl5e5smTJxwdHT2TO+f3+5mdnb3RDJ2maTeuTg0GA8bjMcvLy2Jf7wQvbr/zm4+xHTgw4OsTODGhbkFChaLv4t+4CjEFYh4PQYUrN8Nx+J/GNv/vkcUPhTz8eOzmfxqj0eiHqrJ1Oh0ikchzRYwrwC/POro4jsPBwQHAFeHs3t/v90Xl6zILCwvouk4kEmEymbC/v4+u6ySTSZLJJMPhkN3dXRRFYXl5mUgkwv7+PqVSSUQFnJ2dcXJygt/vp1gsouu6aMOdm5sT71W/33/lfRAOh4lGowyHQ3w+H4VCQbRbSiQSieT1kIJOIpFIPiGKxSI+n49arSZmoGzbZjQaicqYO1PnZm51Oh0ymYwwwLgcaeDau9dqNebm5ojFYiKywDW5CIfDHB4e8vjxY1ZWVsTM3GQy4eDggOXlZcLhMDMzM1iWRbVaFYt1uFiYz83NcXp6Sq1We8alsVgsvvS4XfOXL37xizeaI4vH42xubr5QKKrKhXnKmh/gW9u0HYc/qk34l2P4sZCP3+nzElMvvj+2Hf7y2OIvDC3+w6DF/EyZP6YsUOLl+/Q07XYbTdOea0xyGdd85Om2x8u4eW6ZTOaZ752fnzMajVhZWbkyu2fbNoZhMD8/Lyqu/X6fVqvF0tKSiAfodDocHR3h8XiunFfXiGR2dpZOp8OjR49EbAZctOx2Oh1yuRy2bVOpVPB4PMIIR9d10dar67r4enZ2Fo/Hw8zMDLquk8lkZH6cRCKRvEHkJ6pEIpF8Qng8HgqFAnfv3mV+fl5U3O7cuSMqN5VKRSzCO50OqVRKiLB6vU6j0cDj8Qiji5WVFSEqHMdhdXWVYrFIq9Xi8ePH+Hw+bt++LbLzXBRFwbZttre3GQwGwEX1J5fL0Wg0mE6n4rH5fJ5kMslkMrn2uEzTpFwuP9fFMRwO4zgOmqbd+FxFo9Ebib+n+Ympxvu2yZ+P+vk53WK5Oeb/2J/ypwcm63WdX9Ad/mXGx99MhhgrFj/MOU3MV36d0WhEtVoVzo4vwj1vL2qnbDabZLPZZ2YRe70etVqNXC53JZfOcRwh0FyR2Ol02NvbYzKZiJ9Fq9Xi4OCAcDjM7du3sW2bnZ0dUWUrFoscHh5yenpKNBplaWkJXdcBiMVizMzM0G63abfbpNNp4vG4eG+4x3P552pZFu12G7iIyHDNdyQSiUTy5pAVOolEIvmEUVWVfD4vKh+uG+bJyQnj8Vgs1hVFodVq0e/3uXv3Lp1Oh+FwSCwWo1Ao0Gw22d/fp1AoMDs7y+HhIYZhsLCwwMbGBkdHR5imKRbzrkDSNA2/38+tW7fY3d1ld3eXlZUVkskkCwsLwijjMsvLy89dmE+nUyqVCqqqXhtG7i78XzQj5nJ2doaiKC+cyXseP23o/JSh868iMfKqyvcGvJxZNj85MenaNj+T9vHlbyaNP2BMEoU2Fn1ssi/Z9tPk83mRQ/iyKuXLBJ1bnbvu3IXDYfL5/JXW3fPzc8bjMWtra+Jn2mw2OT4+JhqNsra2Jlobk8kkxWKRmZkZqtUqlUqFQCCAYRgiG3E0GjE3N8d0OmV/fx+/3082m0VVVfr9vgiy73a72LaNz+cjnU5fibWwbZtAIMDs7OwLA9ElEolE8vrIy2QSiUTylqAoilh467rOdDoVYg4uKl9uiLOqqmxsbFzJtMtkMqRSKRFpsLy8jN/v5+DggGazya1bt4Sz5GAwwHEcHMdhd3eXnZ0dADY2NgiHw8JYAxAL9WazKap6l+3uT05OrsQQRCIR4vE4tVpNmF5cJhgMoqqqcHp8EZ1O50p18KY8NE3+z9MhfyIYYIjD5Jv7N+dR+VNRP3885uFveLv8U2fE7+GIH2IXHw5/l3lWXpBt9zwCgQDRaFREVLyI4XCI3++/NijccRwRM3F5vs62bZHVNj8/L4Rbo9GgWq0SCATEffV6XcxTrq+vY5omR0dH4mJBPp9nf3+fSqVCJpNhfX1dVBbz+Tzz8/Oi+pvL5UgkEuLnmM/nMQyDVquFoiioqioEqhuP4PP5WFxc5M6dO6TT6Q9VWZVIJBLJzZEVOolEInkLSSaTxGIxqtUqtVoNx3Hw+/2iLQ4uRFmz2SQSieA4DvV6ndu3b4vKj6IoRKNRIa6GwyEbGxsoisL+/j7BYJDV1VXm5+c5PDzkyZMnrK2tsbGxQbVavWL24TgOzWaTyWTC5uamyDUbDoc0Gg28Xu+V+bFiscj29jaNRuOZOTtFUYjFYvT7/ReeA9u20XX9igPnTVlUVX6F18P/x9L4s8aIKg5BoIjKjKIQVBy+5hvzD5QqXsdk0yjwW50IJZ/3Q1/qDIVCor3weTiOw2AweG7VSlEUtra2nmlXPTk5Qdd11tfXhUByYyoSiYSIwIBvhdcvLCwwGo3Y398HLiqnoVCIk5OTK4HzT548QVVV7t69i2manJycEAgERKuua6Tizr65FxZM0xTRGbqu4/f7WVpawuv1yrZKiUQi+RiRgk4ikUjeUjwej5hjK5fLYpENF2LHdaF088BSqRTBYBBFUYRJR71eJxgMMjc3x3g8xu/3oygKa2trwhxlaWmJzc1N9vb2ePLkCaurq1dMV9rtNvl8ntXVVZ48ecLe3h63bt0SrXij0YhKpUIkEiGRSAAXM2+xWEzMez29wJ+dnX3pot+dxbrcyndToqrKzwQTGIbB453H6IZB36NS8avsh1RqST8LfhvV9mF0Yzz02/x774ifHAz4uUj+2urZywiHw2ia9tzwdbgQbHfu3Lk2WN2yLGHrf/n1m80mrVaLYrEoxJxrYhMMBoWBTq/XI5FIiJzDdrvN0dERgUCAtbU1UfGbm5sjm83SbrdptVrCBMcNql9aWqLdbov5zUgkIip47qylWy00DAPTNBkOh89UFSUSiUTy8SAFnUQikbzluJUPl263y/HxMY7jYFmWaH3rdDpomsba2hpHR0d4vV5yuRy9Xo+zszMxk2WaJtVqlaWlJcrlMvv7+xSLRW7fvs3e3h61Wk20ZrZaLc7OztA0jYWFBdbW1tje3mZvb4/NzU08Hg/z8/OMx2MODw+5ffu2mLcrFos0Gg0hVC7jVvhexOsIuvF4TCgUouWz+dpmnH+lDjhRDQaqwZzlY9Fx+HF1hu8hSVfp4OgO+lCnUqny2NdibW3tpfN9T5PNZm9UTXxe6Hq1WqXdbnPnzh1xvtxZyng8fmU2z3EcgsEgKysrqKrKwcEB3W6XW7duEYlEaDQanJycEIvFWFlZ4fz8HMMwWFtbQ1VVjo+P0XWdQqGAZVkcHBywtrZGIpGg3+/T7/cJBAKYpsloNBJCLRaL4ff7MQwDwzBIpVIi01AikUgknwxS0EkkEsmnDK/Xi8/nYzKZiIqNZVnCQt41ONnb26PRaIj4AtdmPhqNomkaBwcHLCwsMBwO8Xg8+Hw+NjY2xOvYtk2hUBACUFEU5ufnWVlZYW9vj16vJ+b5VldXefToEZVKRYjPWCwmHDmvo9/vMx6PrzX/cIlGo69c9RmPx/yzk8f860U/Xwtp/EAgx4+xwBJBivhRvVdnui7ntcXjcSqVyoeq0N2Ek5MTEomEqGS66LpOvV4X8RSAEFo+n4/l5WVRHVNVlXA4zK1bt3AcRziczs/PiwiCWCxGLpdjZmaGvb09RqMRMzMzOI4j3FT9fj+NRgNN00gkEuI8Z7NZBoMB0+kUr9crTHrcMPBYLMZ0OmVubu6lmYMSiUQi+eiRgk4ikUg+ZUSjUW7fvk2r1RKVF5/PRzAYFBWi8XiMZVkEg0FGoxFer5fV1VXi8TiqqrK+vs7JyQlHR0fMzMwIq/vxeIzP50NVVXZ2dggGgywuLuI4jghBL5VK3Llz50pVxu/3s7GxcW01bTqd0u/3yeVyV+7v9/vU63Vyudy1AdPpdPqZcOyXMZ1O+XP9B/zzdYPvI8HPcosE11fEriMSiYjAdMdxhJHITdA0jb29PRYWFkSF8+l9azQa156j09NT4GpQuGEYKIoi5tJs22Z3d5doNCoed3x8TKfTEW2UrpFJMBgkk8nw5MkTLMtieXmZ4XDIdDolGAwSCAQ4PT3F6/WSTCbp9/ucn58Lp0zTNEUlzrZtLMtiMpkQDodZWFiQM3ISiUTyFiE/kSUSieRTiKIoZLNZ7t69y8zMDPPz82xubgIXLZW1Wk0YVriVO7f6o+s6+/v7olLj2tc7jsPJyQlPnjyh3++TSCRotVoiuDybzdLpdLAsS4i54XAoxEg4HEZVVbH4d6nX65ycnDAaja4cQyqVwnGcK3l4r4Mbsv7Leiq/2cnyDU+HP8h7PObF5ivP4/DwkN3d3WudOq/DsizhTHodnU4HuDC8uUyv16Pb7VIsFq9UI4PBIFtbW0SjURzH4eDggOFweMWQxp2tS6fTbG9vX4m6ODg4QFVVVlZWhGul61zq8XgIBoMij9Dr9YqfqSvoXbMTtyrotsBKMSeRSCRvF/JTWSKRSD7FeDwe5ubmRCWr0WjwjW98g263i2VZeL1eDMOgUqnQarVotVo8evQIr9dLr9djNBqRzWbJ5/MoisL6+jqBQIC9vT1UVWVpaYnBYMDOzg7FYpFbt25dqVgNh0Pq9boQdQAHBwfs7e0Jp8bZ2Vl8Pt+18QZ+v18Inafp9Xo8fPhQBFu/jIODA6bTKd9dusV/6d3k/8sv50eY4//JY0xuJsouk06nGY1GHB4ePlekXcZ9zPNs+judjjjmp+8PBoPCDVTXdc7OzrBtG0VRRFtlr9djcXFROGRGo1Fu3bpFJpNhe3sbTdNYXV0lHA6jKAqrq6vMzc1xdHTEZDIRWXJwUVGdTqdMp1ORQ9dut7EsC5/Ph23bmKaJz+cjl8tx9+7dV66WSiQSieTjQQo6iUQi+QwRCoUIh8P4/X4mk4moqrgB0JFIRLRhupWeZrNJs9nEcRyOjo7I5XKkUinOzs4YjUasrq6iaZowWnEf12q1RLtmvV6nXq8DFwLOMAwh8i4bpzQajSv7m0ql6Pf7z9j0u/usadq137uOYrHI8vLylbiFX0eBX0aSP8Av8m+pY/NyYeaSTCaZn5+n2+2+NI4AEPt5XQVrOp0yHo+vjStYWloScRJw0UbZaDSEs+T5+fmVtsparSYqbV6vl+3tbSzLYm1tTbThuvtzcHCAx+MhFouJnzNcVFPdiurlnD/HcVAUhZmZGVKpFLdu3WJ5efm5Ri4SiUQi+eSRgk4ikUg+Q8RiMba2tlhYWCASiWBZFrquE4/HicfjBINBEokEgUCA0WiEqqpEIhF6vR6maeI4DsfHx/h8PgqFArZti4DqxcVF4GLRbxiGEHXz8/Mkk0lOT0/p9XpEIhEKhQKtVktkzaVSKeLxOOVyGdM0xf665hzXhYe7LYA3DRaPxWLPCCYFhf+CDf4T5vlvecA/4PQ5z76efD5PKBSiWq2+tErnVhKvc3w0TZNIJHJl/3RdF6LNFUzuOZubmxPbcc9noVCgWq1ydnYmBKYr2FdWViiXy3S7XbGtaDQqTGt6vR6xWAxVVUULqdtS6bql9vt9sd2ZmRnhmCmRSCSStxtpiiKRSCSfMRRFoVAokEqlODk5oVAoCAv+6XTK6ekpHo8Hr9cr2vRcs5SVlRWOjo6o1+vEYjGRceaGmsPFTNzi4iLHx8ccHR2hKArLy8s8efKETqdDIpGgWCzS7XY5OTlha2sLVVWZn5+n2WxeaUmMRCLcvXv32uO4qaBrNBrsmg2+OtOlp1gskWSDFOtkyBLCg8L71Cng5dt59ZDyYrFIuVzGMIwXOm56vV4SicS11axIJMKtW7eu3Hd8fIymady9e1cYkZydnRGJRMjlcmJ2LZVKkUqlqNVqnJ+fk06nRZB4IpFgY2OD/f19ptMppVKJwWBAJpMBENXPeDwuqnpuwHg0GqXVamGaJpZlEQ6HhSh9XtuoRCKRSN4+pKCTSCSSzyh+v184NgKcnZ0JsxRd14WToZtjNxgMaDQaDIdD4Xx4eHjI+vo6e3t7OI7D3Nwc5XKZTqcjwskPDw9ZXl5mY2ND2P2rqsri4iKVSkXk0LkB59fhOI6wxXe5LDqfh+M4fK27z08tH/M7lS8RJcQRPd6jwV/kXWL4uUeWeSKUGfDjfIX/nDv8cgo3Po+pVIpkMvlSkeMKr6cxTRNFUa7MHnY6Hfr9PvPz82K7Z2dnWJbF0tISuq7z5MkT5ufnhZg7OzsTuW+PHz9mdnaWZDLJ7u4ulmWJCh5cVN8ikQj5fJ5ut0u/3xczeW5Gn+M4TKdTfD4fiUSCxcXFa905JRKJRPJ2IwWdRCKRfE4wDEMs4l0bfNfxcmNjg93dXXw+n3A+TCQSzM3NoSgKCwsL7O3tcXx8TKlU4vz8nL29PVZXVzk5ORHPg4sKULPZpFQqsb6+/sx+DIdDGo2GqP4ZhsGjR48oFosiPsElmUy+MOD73cERf3vpiN+v/zK+y3shXr+dC0v/H+MLHNPnA5q8T4MyPTyo/Bm+Sp4I/wfuc++GFTvXnORp0XkZt6L2NLVajXq9zjvvvCNaHs/OzgiFQleiHGZmZojFYgQCAZ48eYJt2+LYJ5OJEHM7OzuiWqgoCnNzcwyHQ6rVKsFgEL/fL9pDJ5MJg8FA7LdrdOKe216vRy6Xo1Qq3TieQSKRSCRvF3KGTiKRSD4nLC8vs7a2RiwWEwJFVVUymQzRaJTl5WWm06nIr+v1epyfn2PbNq1Wi2w2K/LoSqUSk8mEvb09lpaWRIC4O4tVrVap1WrAhWA7PDwU82K6rtNut2m1WsDF/JjP57vWeGRxcfEZkefi4PDTgff4tad5/oPQs8JRRWGZBD/AKv83vp2/xffx3/Ar+Z3cRsXhF6je+NyZpsk3vvGNZ0xdXCzL4t133xWmI5dpt9tifg0uWlZ1XRfVOddMxc2OOz8/Zzwes7S0JDLrlpaWmJ2dZWdnB9M0mZ2dFe2Rtm1Tr9eFyUm/32c4HAKQyWREZc4Nn3ereNlsVsxbSjEnkUgkn16koJNIJJLPEclkkq2tLdLpNIFAgFwuJ9ogFUXBtm2m0ymapgmnTNM0mU6n1Go10VI4GAxYW1tD13WROddsNnn48CHxeJxkMimEiWmadLtdYf+fTqcJh8OUy2Vh0OFGBFw3L+dWxp7mMTWG6HxJL95o5ktFYYkEv4U1/jK/ht/P9bN71+H1evH5fIzH42u/72a/PT1jNxwO0XX9iuW/ruskk0lisRi2bYv8OLiYeavVauRyOfx+P48fP2Y6nWKapmitnJ2dpVwuUy6XcRxHGN4YhsFkMsHv94vMP7dqaNs2juMwmUwYDodCXL+o+imRSCSSTwdS0EkkEsnnDJ/Px/r6OltbWywtLeHxeBgOh5ydnV1pzctkMmxtbeH3+1ldXSUYDNJoNIhGoywtLRGPx7l3756ozoXDYRzHYXd3l1KphNfr5eDggEAgwPz8PIPBgEqlAsDc3By6rouoA1fwPF2lm06nvPvuu9dW7zqMyDgBoqkEBib/jscc08DAfOaxb4JwOPxMOLqLe//TrpDtdhtVVUkkEuK+hYUFVlZWADg9PWUymYjvu/NtuVyOvb09TNNEVVW8Xi/ZbJbZ2VnOz8/x+XxCXFuWdUWkTadT0V7r9XpFNIFpmsTjcRYXF2UMgUQikXyGkDN0EolE8jnFrc50u12ePHnCaDQiFouJQPLRaITjOIxGI+r1Opqm4fP56HQ6BAIBZmdnhYumpmmUy2UWFhY4PDzk+PiYpaUldnd3qVQqlEolhsMhlUqFWCxGLBYjmUxSrVbJZrP4/X5isZjItnMrbm7FazQaCedGl1/OIt8InvCTwa+RwssUjQlT6vTIEiNBmO/lC7zD8hs5X+FwWAS2P92iOBqNCAQCV+53HIdOp0MymcTj8aDrOpZlEQqFUBSFTqdDs9lkZmZGCLqZmRlyuRzb29vYts3y8rII+45EIuzv7+P3+/F6vVQqFUKhEKlUimg0Sq/Xw7ZtbNtmPB5jGAahUIjJZEIgECCZTLK0tHRtrIJEIpFIPr3ICp1EIpF8zonH45RKJeLxOP1+H8dxME2TTqdDt9vl6OiIdrstrPUDgQCxWAzTNBmNRmKuyzAMqtUqCwsLDIdDBoMBq6urFItF4KIyFQgEKJfLwEUA+WUzjlKpxPLy8pX2SUVRiEajYibsMn68/EF+NV9kgT0a/Ea+xPfzJb7IAn36dOgxxXhj58k1fXHbRC8zHA6vBJq7+765uSmOv1Kp8OTJEyzLwjAMTk5OiEQizM7OXgkLd6t2CwsLnJ6esr+/j+M4DAYDfD6fqKiGQiEikYgwurncluq6ano8HhYXF1lYWGBjY0OKOYlEIvkMIit0EolE8jnHzYiLxWIcHR3R7XaFWYprmPL48WNhvz+dTkVY+czMDJVKhXK5TD6fp1qt0u12yWaz+Hw+kskkgJjNW11dFVW3UCh0ZYbreSHW0WhUBJK7ogouRNTOzg6/Zm2N745v8D/xM4QI8w4r/BDfRZLotdv7sESjUebm5p5xsnQch2KxeO08mmtqMp1OabVa5HI5PB4Pk8kEVVVZWlqi1+txdnZGNpslEomgaRqFQoF6vY5hGKyvr6MoCjMzM/T7fVENnEwm1Ot15ubmSCaToirn8Xjodru0221yuZzIrJNIJBLJZxNZoZNIJBIJ8C3DlJmZGdbW1kSGnVt90zQNx3GwbZvT01OGwyHHx8coioKiKDQaDTKZDL1eD+CKO+Xh4SG7u7t4vV48Ho+oKsGFmYo7S2fbNsfHx1dm5tzK19Pza65ZiqIoxAlRp83v4Xv5Lu69cTEHFwK0UCg8026pKAr5fF7MEgJUq1UODg5E1axarQpR5h7T3bt3cRyHw8NDIpEI8/PzqKrKxsYGmqYxGo1Ip9McHh6iaZoQ0n6/n+l0Ktwr4UKUj8djFEUR1bvnGbhIJBKJ5LOFFHQSiUQiEfj9fjY3N5mdnSUQCNDtdjk+PmYwGIi5unQ6zebmpjBH0XUdRVHw+Xzk83lmZmZEFa7b7bK3t8fs7CyWZYn2QVfg2bZNv9+nXC6LAPLRaCQcHAHRluhWu1zc7yuKgoLCPHlOqH1k58ayrGdaG+FCaLqGJHAhSmu1mhBcbnUum82iKAq1Wk0I4/39fTweD0tLS5ydnWGaJo1Gg16vRzKZpNVqoaoqPp+PUChELBYTs3iKoog2TTeXbjwei1m5xcXFj+xcSCQSieTtQQo6iUQikVzBrfpYlsXR0RH1ep1AIMB0OhWiKhQKYZomtm3j9/tFYHUwGKRUKlEoFIAL0dXr9ajVaiwtLQmxlsvlRBTCzMwMlmWJjLdisch0OhWVPlVVKRaLz8x/uZUyN8ftHsvscHDlMY7joOu6EEFP33f55n7/eXQ6HR48eHBFvAHs7+9zdnYmvm42m5imKapxk8kEj8fDzMwM5XKZ8/NzEb4+nU5ZXl7m9PSUZrOJpmnkcjmKxaIQ0W4OoG3baJomWl/H47HIDUyn01iWRS6XY3NzU7y2RCKRSD77yBk6iUQikVyLx+NhY2ODvb09Op0OAJqm0Ww2iUQitFot+v0+Pp8Pr9dLv9+n2+0ynU7pdruUSiUqlQq5XI5Go0EwGCSbzVKtVonH46RSKarVKplMhng8Tr1ep1AokEwmCQQCVKvVKzN4g8GAaDQqhJw7T2eaJjYOYTx8hSd8P9+Fjwtb/rOzM9HOOTMzQ6lUwrIsPvjgg2eOt1QqvVAIuULu8hyfpmkYhiHaLd3g9Wg0KlpFk8kk8XgcTdNoNBrk83mCwSDBYJBoNEq73abf7zMzM0MoFMK2bdrttqgETqdT/H4/Ho9HxA1MJhPxf1VViUajLC4uUigUpPGJRCKRfM54rQqdoih/XlGUJ4qivK8oyt9XFCX5hvZLIpFIJG8B4XCY27dvi3k4NxetUCiQTqfx+/3ouo5hGITDYVKpFOFwmPF4zNnZGZqmMZlMSKVSnJ+fE4vFxPPcQPOzszMKhQKGYdBqtVAUhUKhwGg0Eu6Wo9GIvb29K26XPp+PXC5HIBDgX/Pz/Av+Nf87fh3eS9cqu92uaA11c9tcM5Knb5ez4q7DNE08Hs8VUxS35dEVdJ1OB13XRYVS13XxmqenpyJPzr1/PB5Tr9fJZrOiPVVRFCHKptMpiqLQarXE67jGJ6Zp0mw2GY1GKIoiXEQlEolE8vnidVsu/xlw13Gc+8AO8F+9/i5JJBKJ5G3C5/OxubnJ3NwcS0tL3L59G0VRyGazIpNtOp0yHA7Z398XYdaTyQS/389wOERRFCKRCKPRiOXlZQKBAH6/X2TYRaNR0um0aOnMZDLk83kxixeJRK7MjMGFSFpYWCAajXKf2+RI8r/xr2hyIX4mkwm6rgu3znA4LJ7n3nf55vP5RLvkdRiG8Uwgtxsl4AqpWCxGqVQimUxiWRaPHz/m9PSUTqfDcDhkdnaW4+Njtre3sSxLVCt1XWc6nVIsFkUF0m1pvZx75wpB27YZDocvDDuXSCQSyeeD1xJ0juP8U8dx3L98XwHmXn+XJBKJRPK2oaoqq6urrK6uEo1G0TSN09NTMcPlulfG43EGg4HIanPn7trtNolEQljouwYpoVCI27dvo6oqy8vLok3RjVJwBZ3bVnhZ0MFFi6NhGKRJ8fv5XXyR+/wV/hf+Nf8e0zaJx+NX3CdfhKZpHB8fP1cgua2PlxkOh1e27/P5RNumG7XgRjhkMhkR1O7m7926dQufz0e/3ycQCHB+fo5lWSSTSeHgaVmWCA13RelgMCCdTrOysiKqgRKJRCL5fPImTVF+L/CPnvdNRVF+TFGUrymK8jV38F0ikUgknz4sy+LJkydsb28LQWVZFhsbG8Ll0g28dg1NUqkUmqYBF5WzWq3GdDrl7OwMx3GEg6RlWZyfn4tK1HA4FBEGsViM8Xh8xbzk6OiI7e1tAFQUvoNfzh/k9/OYHX4q8vfQ16c4AYeb4ObITSaTa78/Ozv7jHi6HBxerVaFkctkMqHRaJDL5QiFQkSjUUqlEuVymXg8LiIX+v0+rVaLYDCIpmkiONyNiDAMQwS927aN1+tlOBySy+VYX1+XYk4ikUgkLzdFURTlnwPXTYn/uOM4P/PNx/w4YAJ/83nbcRznrwJ/FeDLX/7yzf66SiQSieStw+PxsLCwgGEYNJtNQqEQmqZxcHDA+vo6tVqNwWCApmnE43EikYiYX4OLObNKpUI+n6der1Mul+n3+8K+v1aroes6y8vL1Ot1+v0+yWRSVMKGw6GYd3Orf7Zti9m2DGn+M343j5xHfE35Kn+fv8ssJdbZYIMN8hRQUK49Lr/f/1xBd92MndtqaRiGcO9MJBKcnp7i8XgoFovCGObs7AzbtgkEAhwdHaGqKvF4XFQ13ZbSwWBAMpnk6OgIQFTqbNsW5ielUol4PP7hf4gSiUQi+czwUkHnOM73vOj7iqL8buD7gV/jPB3OI5FIJJLPJOl0Gq/Xi9frpVarEQwG6fV6aJom3C9DoRD9fp96vU40GqVSqbC0tMRwOCQQCNBqtYS7ZTabpdFoMJ1OmZmZESIon8/T6XRot9tkMhm2trZEJQ0QM3eapol2RLio1tkfWHxv9teRnc1yyAG77PA3+RvY2KyzzjobrLBKkG/l24VCoWsFnTvjFo1GRaxDvV7H5/ORSqVoNps4jkM+n8cwDKbTKbOzsyJjLxgMoigKiUSCZrNJNBollUqh6zqTyQRFUUSlMhQKCZdLx3FEZVPXdaLRKLdv3/5IfqYSiUQi+XTyui6Xvx7448APOI4zfjO7JJFIJJJPA/F4XISQB4NBtra2SKfTLCwsEA6HmU6nYnbM5/OJKp5rkuKGa3s8HhGMfX5+TqFQwOfzcX5+TjQaJRgM0mw2URTlipiD57dJ2raNYRioqoofP5vc4vv5Af4wf5TfzY+SI88v8lX+Nn+df8E/xuCixTMQCIh2z8u02212dnbEbCBctFh2u13gInsuHo8TCATw+XzcuXOHdDpNuVwW7p+Li4vouo7H40HXdQ4ODnAcR8QgTCYTptMpnU6HaDSK1+sVc3uGYYjXkkgkEonkMq87Q/eXgBjwzxRFeVdRlP/xDeyTRCKRSD4lhMNhNjc3+bZv+zay2Sxw0VI5Go3w+XxMp1MODg5EO+N0OsXr9aJpmnDATKfTLC4uMjc3x3g8ptlsUiwWGQ6H9Pt9stkso9FIRCCcnJyIObpAIICqqozHV68puk6VlzPjABQUcuT4Tn4lv5sf5bfyQ3Ro85f480wYMzMzw9bW1jPHOR6PCQQCwm1yOp1iGIYwanHdNN3ZN1VVqVQq6LpOMplkNBrRaDQYj8d4vV50XRfxDa7YdQVuOBzG6/UKV03LspiZmZHzchKJRCK5ltcKFnccZ+1N7YhEIpFIPp24c2SmafL48WMajYaw1Xdn6Hq9HtPp9EokgKZp5HI55ubmUBSFVCpFMplkPB6ztLTEeDzG7/cTCoWEiYqiKDQaDRHWrSgK8/PzovXS5XmC7mnCRIgTAUxs7GdiCVzG4/GVlk43Dy8ajaLrOuFwmEQiwaNHjwiHw8zMzFCr1chms7RaLTqdDouLiyK6AS6EbzweF5lyLq1Wi3Q6jaIoGIZBqVRiY2PjufsmkUgkks83ryXoJBKJRCJxsSwLx3FEFcqdGVtaWkJRFEajEe12G13XmZ2dpdvtYpomiqKg6zr7+/vMzMwIA5XFxUWx7fv374vXAIRYBERl8DI3EXRN6vx9/gYJ4vyHfAfbfIWV6ReZtHURNeBuazqdXnmd4XCI1+slFAoRCoVIJBI0Gg10XWdxcVG0mrrtoqurqwSDQeEIqqrqlWP3eDxYlsVwOMQ0TcLhMH6/n2w2y/r6uhRzEolEInkuUtBJJBKJ5I0QCATY3NwE4OTkBI/HQ7PZpFKp4PF46Pf7wrwkm82Sz+cJBAKMRiMODg7QdZ1yuUwikUDXdRGo3el0RDQAXLR5uhUyuJiXG41GBINBIXy8Xi+5XE5UDy/j4PANfoGf4//HGrM0eEALsFD5Bf8/IBEo8WXz17LuewcFRbRzXq7Que2WhmHg8XhQFIVqtUokEhFCc25ujocPHwIIF0/btkUcwWg0Ei2ZzWaT4XCIx+MRwez37t0jEAi8tMookUgkks83bzKHTiKRSCSfcwKBAOvr6xSLRUzTRNM0PB4P5XKZbreLz+djNBpRLpexLItWqyVmyNzZunK5zMHBAUdHR/R6PcrlMqPRiAcPHgijlNFohGusrOs6Ozs79Pt9sR/hcJiFhYVrK1smOv+Wn8ZPjSp7pNgiwCx5Nrkz/W7G/iH/NPjXeJefAy7y727duiVCzwHW1tZYWVnh5OSEx48f0+120XWdXC7H4eEh0+mU09NTIUq73S6RSIREIiH2W1EU/H4/mqYxHo/x+XyYpkm1WgUgEolIMSeRSCSSlyL/UkgkEonkjRIKhVhbW8Pj8ZBMJkUl7uHDhwyHQ8LhMPl8nmazSavVEsHZqqoSDoep1Woiv81xHDweD7VajXA4TLfbZW5uTgioQCBAMBjE4/EwGo3IZDIAV0STi43NLr/AV/kZlljgLt+NhzA9OvRpU6cM6pRCa5Nbyn0WIxtiG5FI5JnjtG2bXq9HLpej3+8TCASYTCa0220KhQKhUAhd1xkOh4RCIQzDoNPpMJ1OUVWVyWQivuf3+xmPxyJPT9d1/H7/x/DTkkgkEsmnHSnoJBKJRPLGSSQSvPPOO0JQjUYj4Xw5GAw4OjpibW2NcrmMYRgEAgE0TRNtk5qmEYvFqNVqpNNpGo0Gc3NzdDodfD4f9+7du/J6l81G4CJm4OjoiLt37xIIBKiwyz/nrxEkznfzo5TYvHa/h/qQ7eY2hdQifi7aNd02UFfUHR0doSgKsVgMx3FIpVKiari9vU06nSYcDov5OdfBcjQaCcdL0zRxHIdgMChm9BzHIZ1Os7q6KsWcRCKRSG6MbLmUSCQSyUeCmzW3v7/P9vY2lmUJ8aaqKrVaDcMwRKuloihMJhNyuRzLy8vMzc0J4eOah6iqKvLY3OBtuBB0k8nkSk6cuw8ANhYeHFQ69DjCZHqjY9B1nUqlIuboTNOk3W6L/fD5fELoNZtNADH3V6lUmEwmqKqKqqqkUimm0ymaponjHgwGIjg8kUiwvLwsTGEkEolEIrkJUtBJJBKJ5CPHzWazLItIJMLW1hbz8/MkEgnG4zEejwePx0M6naZYLKIoCoFAgHg8js/nI51O4/F4iMViIgLh/fffF+IuEokIh024JOS+KfBK3OJ38Of4Lv4AFR7x0/whmhw+s5+RSIR33nmHWCwGIKp+rmhzW0QzmQz9fp9oNMoHH3xArVaj1WoRjUZpNpsMBgNyuRzBYBDHcZhMJsI0xev14vF4GAwGmKZJIpEgFosxPz9/xfxFIpFIJJKbIFsuJRKJRPKRoSgKy8vLWJbFwcEBcJG/dnR0RDqdZjKZ4PF4yOVyV+bdNE1jd3eXeDzO7OysuH8wGGDbtqjyNRoN0fJ469Yt4UTpbsut4LmkmSdOhiag8CyKolwxIhmNRiiKQigUAi6qcJFIhHA4zPr6Op1OB8MwCIVCzMzM0Ol0UBSF2dlZDMPAMAwRpp5IJEQLpmma+Hw+/H4/4XCYe/fuXTFdkUgkEonkpsgKnUQikUg+UlRVZXV1lcXFRSzLYjqdYts2u7u7tNttJpMJmqaxtLTEysoKmqbx+PFjLMui2WwK8xDHcfD5fCQSCeAif24wGDCdTvF4PEQiESHkVPXiz9vlFswWB/wD/itGNPnN/L/IsPzMvk4mE87PzzEMA7gQdOFwGEVRGA6HIgwdLqp2rqlJPB4nGo2K1tHDw0OxH25Laa1WwzRNkaWn6zq1Wg24cNK8LGglEolEIrkpskInkUgkko8cj8fD+vq6EC0rKys0Gg1GoxGaponQcU3TKJVKwLfCwXd3dzEMg2AwyHQ6ZWNjQwR9l8tlms0mpVKJ4XDIYDCgWCwSCASYmZnB5/PhYPNL/C32+Dm+jd/DMr8S5dr6HKI1MpPJ4PP5RE4cXEQyFItFUqkUlUpFZOhFo1G63S6VSgW4CD/3+XwEAgH8fj+DwQCv10s0GhUulq4IlUgkEonkdZGCTiKRSCQfC16vl1u3bomv3Tky1+0RLtwpa7UaHo9HmKEYhoHjOMIJ8uDgANM0+cIXvkA8HqfdblMqlUS+nTu75gpDB4cyX8VhyNf5n3nC/0qKJb7IjxAkeWUf3YqeK7bu3bsn7vP5fMzOzooAdNeJcjQaUa/XKRQKHB0dYZompmkymUyEmLMsi/F4TCAQEMcxPz/PysrKR3rOJRKJRPLZRwo6iUQikXzsVCoVvvGNb2AYBqqqUq1WSafTTKcX7pOXRZRpmsLe37ZtLMvCcRz6/T7FYlHMybnzc+PxmHg8jmVZKIqCqqr8AP8DDjZTBoxossvPsM8/4g6//cp+ue2Qbsum+//RaIRhGCQSCXq9HgClUolOp0O32yWXy+H1enEcB8MwGA6HeL1eIpEIzWYTwzAYjUZ4PB4URSGXy7G2tnZt8LlEIpFIJK+CnKGTSCQSyceOK5zcmbLZ2VkikQgej0fY+rutiaVSiTt37qAoCrZti7bFer1ONBoVjpSuoHPF17vvvku73RavqaASJEGGVZb41dR5/7n75fF4qFarnJ6eAlCtVjk5OQGgXq8TDodJp9PAxSycpmki3sB17HSrjI7jYFmWCE5PJpOsra1JExSJRCKRvBFkhU4ikUgkHzvuzNsHH3wgxE42m6XX6wnnS8uyiMVilEolFEUhmUzSaDQACAaDDAYDJpMJiqLQarWYnZ0lGAwyHo9Fhc2yLBwchpQZU2NCDRuHCU0GHGNjofKtWTZXLAJ0u10RtdDr9cjlcvT7fTRNI5vN0mq16PV6WJZFvV7n1q1btNttxuMxfr9f5MtNJhMh6tLpNO+8846Yy5NIJBKJ5HWRgk4ikUgkHzuKorCyskK73eb4+JizszOi0SjVahXDMEgmkywtLdHr9bBtm1qtRqfT4Utf+pJwnnz06JEQdNVqlUQiQTgcRtM00dpomiYWOj/H7yWAhkGACCtk+DLfxh++IuYA5ubmmJ2dFdlxuVyOXq+H4zgiGDwUCqFpGo1GA6/XK1oo2+02lmXh9XpFpc41gbEsSzh1SjEnkUgkkjeJFHQSiUQi+UTw+/2srq7S6XTIZDIYhkG/38fn8zEcDjEMg9nZWXq9HgcHB6iqSqfTEbEB9+/fR1EUMSvX7XZZXFwUFTa3ymfSJU6IBN9Fh2PGnKJxToAgBb78jOOlqqpomoZt24RCIbrdrpiHi0ajJJNJ3nvvPRGAvre3R71eZ3V1FVVVxQyfruvoui7m/gaDAbquEwgEPvZzLZFIJJLPLlLQSSQSieQTI5/P86t/9a8mHA6j6zqtVotWq4XP50NVVT744APy+Ty2bTOZTDg8PBQGKqlUinA4jG3bxONxut0uc3NzYtsejwfTMvgl/jhz/BZW+T0ADDlll5/mlH/MOr+DyxHj1WpVzL/BxVxerVYjmUyiaRqhUIh+vy/aQY+OjtB1Xcz72baN4ziiqhcKhUTVbnFxUYo5iUQikbxxpKCTSCQSySeGoihEIhEAOp0OvV4Pj8cjnCJ9Ph/vv/8+Ho8HVVVFuHen02Fubg6fz0en06FYLNLr9RiPx9RqNRKJBDMzM3i9XiZscM7fYMQjCnwPGX4VX+SPXbs/7XabQCAgxGIwGGRrawvDMHjw4AG5XI7RaMRoNOLJkyf4/X4ROu7xeNB1HcMwCIVCQpRalsXc3ByLi4sf56mVSCQSyecEKegkEolE8onTarX4yle+gqZpBINBLMui2Wyi67qYRXMjAUzTJB6P0+l0KJVKGIYBIARVv99HVVUhoJL8KUyGNPk3nPP36POAdf7ItfthmiaRSIR0Oi1cLAExyxeNRoXoi0QixONxkZs3nU5Fu6eu63S7XdF+ubm5KXLrJBKJRCJ5k8jYAolEIpF84iSTSWFGYhgGxWKRL3zhC4TDYabTKdPpFMMwiMViLCwsCDMSTdPwer0MBgPhHhkKhZhMJpimKXLtvESZ4TdQ4vvReRcb49r9sCxLtFsC7O7uUqvVaLVaBINBkskkW1tbeL1ewuEwrVYL0zTRdZ14PI6qqui6znQ6xePxkM/nWV5eJp/PfyznUSKRSCSfP6Sgk0gkEsknjsfjYWNjg3w+j2madDodYYDi5rmFQiFu375NoVBAURSCwSDtdptoNEq32xVh5K6gK5fLPHnyBACLEQ/4EjX+ryj8e97nezHoXNkHN+NOURTee+89arWaiCkYDockEgkRaD4ajTg9PRXiz7ZtWq0W4/FY7Ieqqlcy9CQSiUQi+SiQLZcSiUQieStwA7eHwyHtdptKpcLh4SHT6ZSlpSXC4TCO46CqqhBLzWaTdDpNt9ulXC7T7/eJRCJCnJmmieM4eJQIef5PKERp8eOE+SJeklde363OuW2d4/EYuGjDhIvA8sePH4vK4MzMjDBDgYtsPJ/Ph2maGIZBr9cjn89fqfhJJBKJRPKmkRU6iUQikbw1zM/Ps7Kywq1bt5ifnyeZTArXyLm5ObxeL7/0S7+E1+slkUiwurpKKpVibW2NQqGApmmYpkkoFBLbdCtmOX4XDg8J82U2+O+eiSvw+Xx84QtfIBqNAmAYBh6Ph5WVFdbX1xmNRqLlMxQKidk9RVGEe6VpmiIo3RWCEolEIpF8lMgKnUQiaoNYJwAAHolJREFUkUjeGlRV5d69e+LrWCzG2dmZCA93Z+na7Ta9Xg/DMIhGo/h8Pvx+v4gx2NraEhEIpmleZNJRY8zfIs9ff+E+aJqGoijouk40GkVRFCaTCY7jkMvl0HVdVPBCoRCmadLv9xmPxziOI1wtl5aWPuKzJZFIJBKJFHQSiUQieUs5Oztjd3cXXdfRNI3RaMTJyQmapmFZFk+ePMHrvfgzFolERDVvNBrhOI74nmmaBAIBvMyQ5D9nzJ8hzN995vWGwyH1ep3pdEowGCQajTKdTjk7O6PT6aAoCpVKBV3XGY1GpFIpYeKiqirBYBBVVYnFYqytrV2pEkokEolE8lEhWy4lEolE8tZhWRblcpnRaIRt2zQaDUajEZPJBMMwRBulaZrYti1MSjRNw7ZtdnZ2qFQqLC4uirgABweHr+Nn/drXdPPtotEo6XSahYUFLMuiWq2KqtxgMGBhYYFAIMBgMGAymYgwcfe1l5aWKBaLH9u5kkgkEsnnGynoJBKJRPLW4fF4WF9fF66XGxsbLC4uoigKpmmKvLdoNCrMT+BCCKbTaVE5y2az+Hw+ADT+VywOifGnrn1Ny7IAmJ2dJZvNYhgGo9GI2dlZFhYWUBSFXC4nIhH8fj/JZBKA8XiMoijcv3+f9fV16WopkUgkko8NKegkEolE8laSSqVYWFjA4/HQbDbxer3EYjHhYHnnzh1WVlbwer1YliVaH/P5PPF4nOl0ymg0Qtd1AHT+NlH+MAqBa1/PFYWKonB4eMjXv/51ALEtwzBoNpt0u10GgwHD4VBU7xRFwe/3UywWiUQiH88JkkgkEokEKegkEolE8haztLREoVCg2Wzy8OFDTk5OSKVSFAoFAoEAwWAQr9dLNBrF6/ViGAb9fl9U8N577z1arRYAHmYw+UfY1K59LcuymE6nfOMb36DZbIqvW60WtVoN0zQxTZNMJkM8HseyLDKZDKZpMhqN6PV6H9t5kUgkEonERQo6iUQikby1xGIxtra2+PZv/3YymYyohC0vL6OqKu+99x6O43D79m2+9KUvkUqlKJfL7O3tCcdJt5UyzJ9EJUWfLzHhJ3Do45g7OMYvXsm3c+MI3Dy7RqNBIpEALlo8x+Mx7XYb27Zpt9voui5cNiUSiUQi+biRgk4ikUgkbzUrKytsbW0xPz9PMBhkNBoxnU6p1WoMh0OGwyHdbhfHcdjc3GR1dRWfzyeCvl1Bp5IjzJ8nxr/F5gjN+CGs4e+G+rdBfYlS6WJWTtM0fD4fa2trxONx0um0iENotVqiIqhpGh6PB0VRmJ+fp1QqfcJnSiKRSCSfR2RsgUQikUjeekzT5OHDh7RaLebn5zk+PiYQCAiXyYcPHxIIBEgmkyKAfHZ2llqtJgSdi4clIvzP2Pw8jH4zjhoDmjj6/4iu/0YcxwEuAsk1TSMej9NoNNB1nXQ6ja7rdLtd0fIZDodZXl6WFTqJRCKRfCK8kQqdoih/TFEUR1GU7JvYnkQikUgklxkOh1QqFTHTZpom5+fn6LouHC3H4zHVapUHDx7Q6XSYTCZ4PB5hdvI06nQf1fudUPgFrNiX0cd/lvPzc1KpFB6Ph69//esMBgOq1So+nw9VVWk2mwAEAgH6/T69Xo9CoSCrcxKJRCL5xHhtQacoyjzwvcDJ6++ORCKRSCTPkkwmWVhYEO2ObtXNtm0sy0LXdSzLQtM0er0elmWxvb0tYgeeQT+D8/8axj5U5Ra+8L9i7+zvEA6HmZ+fJxQKoaoqtm0TiUQIhULouk48HkdVVfr9PrZtUyqVuHPnDuFw+GM+IxKJRCKRXPAmWi7/O+D/AvzMG9iWRCKRSCTXsra2xgcffEAwGKRYLDIej0Ww+NraGuFwmMePH+M4DvF4nFgshsfjYTAY0G63r2wrbf01ohbQfpeq+lV0pYiuq+TzF7l1/X6fxcVF4W5ZrVYxTZNOp0OxWCQUCjEej8nlcqRSqU/mhEgkEolEwmtW6BRF+QHg3HGc927w2B9TFOVriqJ8rdFovM7LSiQSieRzSCaToVgsUqlUhLtkIBAgm81SKBSIx+P4/X4sy8Lj8ZBIJDAMg16vR6fTuXJr8KNQ/CvgmaE1iNDpdPB4PAC8//77DAYDbNtmMBgwGAyEw2YgEBAVun6/z3A4/ITPikQikUg+77y0Qqcoyj8HZq751o8DfwL4tTd5Icdx/irwVwG+/OUvO6+wjxKJRCKR4PV6WV5eRtd1Go0G4/GY2dlZisUi4XCYSqVCKpUilUoxHo/p9Xrous79+/eFWLvCgz8G+d/Ondm7AEwmE7761a/S6XRwHIdHjx6h6zrLy8uMx2M0TQOg2+2iqiqO44j7JBKJRCL5pHhphc5xnO9xHOfu0zfgAFgG3lMU5QiYA76uKMp14k8ikUgkktfm3r17/OAP/iArKyuoqkqtViMSidBqtXj48CGKovDOO++QSqU4Pz9nMpmg6/qzG6r8LFT+FeR+h7jLMAwMwyAcDpNIJCiVSqRSKdrtNoFAAEVR8Hq95HI5bNsmn89TLBY/xqOXSCQSieRZPvQMneM4HwB59+tvirovO47TfAP7JZFIJBLJMyiKAlzEGFiWRTAY5OzsjMlkguM41Ot1zs/PWV9fp9frEQwGUdVrrl32vwGl3we+pLjLMAx0XSeTyRAMBlEUhclkQjgcpt/vM51OCYVCooK3sLBANBr9mI5cIpFIJJLrkTl0EolEIvlUcXR0xFe+8hW8Xi+dTodUKkWtVmMwGKAoCj//8z9PqVQiGAySz+cJBALPbsSagv9qdc00TQzDwLZtOp2OmL/zer0kk0kcx2E8HmPbNul0mqWlpY/ngCUSiUQieQFvTNA5jrP0prYlkUgkEsnzSCaTpNNpGo2GiC3o9/sAWJaFbducnFwk6aRSKWzbfrZK53hgetX50jRNMpkMnU6HdrvN/Pw8yWRSbN8wDILBIJFIhMXFRWZm5ISBRCKRSD553kiwuEQikUgkHxeJRILl5WX8fj/ZbJa5uTlisRiapqGqKsFgENM0MU2Tr33ta1Sr1asbsDSo/RzMfN+Vu5PJJHNzc8TjcaLRKH6/n+FwiGVZpFIpLMvCsix8Ph9f+tKXiEQiH99BSyQSiUTyHKSgk0gkEsmnCkVRWF1dJZPJcHZ2xmAwwHEuzJMzmQxf+MIXcByHSCRCNpvFMIyrGzj7WbCDkPkVV+4Oh8OYpomqqmJWTtM0MZtnGAaTyQSfz0coFPq4DlcikUgkkhciBZ1EIpFIPnVkMhkWFhbw+XwcHh5Sr9fJ5XLMzs4SCoUIBALCNMWyrKtPPvrbsPK7ntlmr9fj8ePHVKtV4YwZDAYZDocEg0Ecx2E6nTIYDD6OQ5RIJBKJ5EZIUxSJRCKRfOpQFIU7d+5w69Yt+v0+9Xody7JYWFhge3ubhYUFRqMR3W6XTCZz9cm9Y7j3zjPb3N3dpVwui7bKjY0NarUa6XQaRVGYTqcsLi6STCY/noOUSCQSieQGyAqdRCKRSD6VRCIR4vE4oVAIy7LQNI2joyMqlQqWZbG8vEy/32cwGGDbtrg5ihfbGIntuPePx2Oi0SiLi4vCdCUQCNDpdBgMBni9XhYXF0kkEp/gUUskEolEchVZoZNIJBLJp5bpdMov/MIv0Gg0yGQynJ6ecnJywnA4JJFIkM1mGY1GfOMb3xDPmbNXcPa+wkzhOwB48OABhmEwnU7x+XyEw2EGgwGRSIR6vU48HkdVVYrFIqurq5/UoUokEolEci1S0EkkEonkU4vP58Pv9+M4Dv1+H5/Ph67rlMtlJpMJi4uLzM/Pk06nxXMivSKq1xRfF4tFEW3Q7/c5Pj5mMBhgmqbIsAsGgywsLMh2S4lEIpG8dUhBJ5FIJJJPLaqqsry8zIMHD5iZmSESiXB6eoqiKNRqNXRd5/79+xQKhW896fEEIlHxZS6XAyAajbK9vc1kMiGVShGJROj1eui6zurqKtFo9OmXl0gkEonkE0fO0EkkEonkU83s7CzFYpFer0coFMLn8xEMBolGo+i6zmQy+daDHQeaDyCQuXZbiUSCeDxOr9ej2+1imiaKohAOh6Wgk0gkEslbiRR0EolEIvlUEwqFWF5eZjQacXBwgKZpbG5uksvliMfjF+2WjgP/9A/DX9uCw38H02ejB2q1GpqmMRqNME1TRB6MRiM0TfsEjkwikUgkkpcjWy4lEolE8qlnY2MDj8fDw4cPSaVSzMzM0Ov1gIu2TNr78MHfgR/5B1D7Jdj8T5/ZxsnJCcfHx/j9fmzbpt1uMxwOyefz+P3+j/uQJBKJRCK5EVLQSSQSieRTTzKZ5Etf+hL9fp9KpYKmaaJN8uDggLVSmth0wCC0AksreA2FsO/iucPhUMQWtFotMpkMjuMQCoWIRqPMzs4Sj8c/2QOUSCQSieQ5SEEnkUgkks8EhmGwv7+PpmkcHBxg2zbvvPMOk8mE3dM6v0wfsrvzBBQPiUSCtbU1AA4ODjAMg2AwyPLyMoPBAE3TmE6n4j5VlRMKEolEInk7kYJOIpFIJJ8Jms0m9XqdbreLoij0ej1mZ2f5zu/8TlRVxXz4G7gz+QrmF38vXu+3/vytrq7iOA69Xo92u02v18M0TcbjMaVSiVKp9AkelUQikUgkL0ZecpRIJBLJZ4JMJkM+n8e2bTRNo9vt8rWvfY3RaEQ0GsX3G/8CwYN/RrT2NYLBoHheJBIhGo0yHo/Z29uj1WqhaRqRSIT79+/L7DmJRCKRvNVIQSeRSCSSzwR+v59SqcTs7CzJZBLLsqhUKuzv7188ILcJ7/x2+Cd/4sL18in29vYYDAakUilCoRCBQICNjQ3ZbimRSCSStxr5V0oikUgknxkWFxexLAvbtgkEAoRCIdrtNpPJ5OK2/gNYdgC9tieeo2kak8mEQCBAJBKhVqvRaDSYTCY41wg/iUQikUjeJuQMnUQikUg+M8zMzBAKhdjZ2aFYLBKPx5lMJjx69Eg8ZrPXobv9VeZm1gHY2dnBMAwMw2AymeD3+zFNk9FohGVZ+Hy+T+pwJBKJRCJ5KVLQSSQSieQzQzKZ5Id/+If5qZ/6KSzLIpFIMDs7y8rKiniMeuvXkp1WxdeLi4sitoD/f3v3HxvnXR9w/P05/zjHdhyfEydxYqckpVDWFnX0FxQBBTooFePHVFCRtlXbxC8NtDJNA1aNsfEP62DSNrR1DCoxiQEVBYYGHVDoxtAoJHRdG2gKWZ20+UGSJm0S23F8vvvuj7seSbCTq8+55+x7vyQr9zzf750/l68+j+9z3+f5PsDk5CTlcpl169aRz+eb/h4kSXo2POVSkrRs5HI5Vq9eTWdnZ+00yksuuYRCoVD76X3Bq+h56K7ac1atWkWhUODEiRNMT08DkM/nGRsbIyKyeiuSJNXFGTpJ0rJy4MABHnvsMaamplixYgXFYrFWqAEw/ELye3cST+2BwignT56sXSuXUqJUKrFx40ZGRkYyegeSJNXPgk6StKyUSiWmpqY4ePAg09PT3HfffVx00UW19g3/9QnWP3kEDu2EwiiPPvooxWKR48eP166j6+/vZ+3atRm+C0mS6mNBJ0laVlavXs3w8DCHDh3iqaeeoqen57Rr6PI/GSb19BNDzwFg06ZNpJQYHx/n2LFjdHZ2cumllzIwMJDRO5AkqX4WdJKkZaWnp4eNGzeyZ88ejhw5QqlUolAoVBpLJbjr4/CHn4Y1zwGo3Ti8t7eXlStXApXVMjs7/RMpSWp9/rWSJC0ruVyOQqFAqVSip6eHzs5Otm/fThRneP6Hric6e9g7+mI2Vfvv2LGD2dlZDh8+zM9//nO6urqYmJjI9D1IklQvCzpJ0rKzceNGSqUSo6OjXHjhhfT19UF5BR3Hn2Ly2teRHyjU+vb29p52M/KIoFQqZRi9JEn1s6CTJC071157LTt37mR8fJyhoSE2bNhQaVg5RP+ffpH+Fb21vps2Vebqtm3bxszMDIVCwQVRJElLhgWdJGlZyuVyHDp0iK1btzI6OgrAxf3r2fPVz9JxxSt57nOfC8BDDz1EsVjk2LFjzM7OMjAwwKpVq7IMXZKkunljcUnSslMsFtm+fTt79+6lWCwyMjLCyMgIpWtuYMMTDzM0NFTru27dukpbqUREMDY2Rm9v71leXZKk1mFBJ0ladjo6OiiXyzz55JMcPnyYfD5PPp+n9Iqb6Hn4v09bwbK7u5t8Pk9HRwcRwdDQkCtcSpKWDP9iSZKWnVwux8jICPl8nqeffppdu3YB0LP3cS48dICDBw/W7jP3xBNPUCwW2b9/PwAXX3xxVmFLkvSsWdBJkpaljRs3snLlSgYHB9m8eTMA+e3fgRddx7p162r9xsbGSCmxfv16du/eXbsvnSRJS0HDBV1EvBd4DzALfC2l9McNRyVJUoMGBgYol8tMTEwwPj4OwPrxcXLlLiYPHKjdRPyZGbp9+/Zx4MABTpw4kWXYkiQ9Kw0VdBHxSuCNwAtTSicjwnWeJUktYcOGDbUZugsuuACArqtfSd/HPsDAy38dqqtcjo2NUSqVatfZSZK0lDQ6Q/du4KMppZMAKaWDjYckSVLjLrvsMq644gqOHj3K7t27KzuHL+Cyp49S/NoX4YY3A7+YoZuZmaGnp4dCoXCWV5UkqbU0usrl84CXRcQPIuI/I+Kq+TpGxDsiYltEbDt06FCDv1aSpHMrlUpA5fTLgYEBBgYLPP2WtxOF4Vqf/v5+BgYGSCkxMDBAf39/VuFKkvSsnXOGLiLuBdbP0XRb9fkF4MXAVcBdEbElpZTO7JxS+iTwSYArr7zyl9olSVpMk5OT7Nixg+HhYY4dO1bb3/v0MXL5ntr2xMQExWKRjo4OhoeHWbFiRRbhSpK0IOcs6FJK18/XFhHvBr5ULeB+GBFlYA3gFJwkKVNdXV2klIiI2gIoAN2dXXQXZ2rbfX19lEol+vv76ejooKurK4twJUlakEavofsK8CrgPyLieUA38GSjQUmS1Kju7m5GR0fp7u5mYmKitr9r1Wp6/ueHte2pqSmKxSIRwebNm4mILMKVJGlBGr2G7k5gS0RsBz4P3DLX6ZaSJDVbRDA8PExHRwcppdpPx+QE5ZUDtX7P7O/v76e3tzfDiCVJevYamqFLKc0Av7lIsUiStKjy+TzT09OUy+XavvKRp5ka2cSqZ7bLZcrlMsePH2d6ejqbQCVJWqBGZ+gkSWpZl19+OWNjY6ft6xl/jNLq4V/q+8z1dpIkLSWNXkMnSVLLuuqqq+jt7T1t5i2lRGnDaG07l8uRy+VYt24dq1evziJMSZIWzIJOkrSsdXR0nLYoylQZJn76My6obudyOSYmJtiwYQMjIyPZBClJ0gJZ0EmSlrWRkZHTbluQ6xukd2Kytj06OkqhUCAiWLNmTRYhSpK0YBZ0kqRlbdWqVaxaVVkCJRWLHPrudxm6/fZa++DgIIODgxlFJ0lSY1wURZLUNma+/W06t2yhc8uWrEORJGlRWNBJktrGiS98gfxNN2UdhiRJi8aCTpLUNtLICNOPP551GJIkLRoLOklS2xi49Vamt25l9vDhrEORJGlRWNBJktpGx9q1lGZmmB0fzzoUSZIWhQWdJKmtRG8vaWoq6zAkSVoUFnSSpLaS6+ujPDl57o6SJC0BFnSSpLbSsWkTaXY26zAkSVoUFnSSpLZSPHSIsgWdJGmZsKCTJLWVNDNDdHdnHYYkSYvCgk6S1FbSyZPk8vmsw5AkaVFY0EmS2kp5asoZOknSsmFBJ0lqG6lcZqpYpOvCC7MORZKkRWFBJ0lqG5HLET09HLznHmZPnMg6HEmSGmZBJ0lqK8W+Pr7/vvfxxN13Zx2KJEkNs6CTJLWViSNHmO7sZNyCTpK0DFjQSZLayku+/30mJyc5+L3vZR2KJEkNs6CTJLWVyOXoXL+eckcHxcnJrMORJKkhnVkHIElSM0UEfZs2MTg0RGdvb9bhSJLUEGfoJEltZ2ZmhhfedhsRkXUokiQ1xIJOktR2eoeHmZ2ezjoMSZIaZkEnSWo7J0+epFQsZh2GJEkNs6CTJLWdyOVI5XLWYUiS1DALOklS2xncsoUuF0SRJC0DrnIpSWo7N95xR9YhSJK0KJyhkyRJkqQlqqGCLiIuj4j7I+LBiNgWEVcvVmCSJEmSpLNrdIbuduDPU0qXAx+qbkuSJEmSmqDRgi4BA9XHq4B9Db6eJEmSJKlOjS6KcivwjYj4GJXi8NqGI5IkSZIk1eWcBV1E3Ausn6PpNuDVwPtSSndHxFuBTwPXz/M67wDeUd08GRHbFxaymmQN8GTWQWhejk/rc4xam+PT+hyj1ucYtTbHp/U9fzFeJFJKC39yxFFgMKWUIiKAoymlgTqety2ldOWCf7HOO8eotTk+rc8xam2OT+tzjFqfY9TaHJ/Wt1hj1Og1dPuAV1Qfvwr4WYOvJ0mSJEmqU6PX0L0d+JuI6ASm+cUplZIkSZKk86yhgi6l9D3gigU89ZON/F41hWPU2hyf1ucYtTbHp/U5Rq3PMWptjk/rW5QxaugaOkmSJElSdhq9hk6SJEmSlJHzVtBFxFsi4scRUY6IK89o+2BE7IyIRyPitfM8fygivhURP6v+Wzhfsba7iPhCRDxY/dkVEQ/O029XRDxc7betyWG2tYj4cETsPWWcbpyn3w3VvNoZER9odpztLCL+KiJ2RMRDEfHliBicp5951ETnyomo+Ntq+0MR8aIs4mxXETEWEfdFxCPVzwx/MEef6yLi6CnHvw9lEWs7O9dxyzzKTkQ8/5TceDAijkXErWf0MYeaLCLujIiDp96mrd7aZiGf5c7bKZcR8QKgDPwj8EcppW3V/b8CfA64GtgA3As8L6VUOuP5twNHUkofrb6ZQkrp/eclWNVExMep3H7iL+Zo2wVcmVLyniZNFhEfBiZSSh87S58O4KfArwF7gK3A21JKP2lKkG0uIl4DfCelNBsRfwkw1zHLPGqeenKi+uXIe4EbgWuAv0kpXZNBuG0pIkaAkZTSAxGxEvgR8KYzxug6Kp8jXp9NlDrXccs8ag3VY95e4JqU0u5T9l+HOdRUEfFyYAL455TSpdV956xtFvpZ7rzN0KWUHkkpPTpH0xuBz6eUTqaUxoGdVIq7ufp9pvr4M8CbzkugqomIAN5KpeDW0nM1sDOl9FhKaQb4PJU8UhOklL6ZUpqtbt4PjGYZj4D6cuKNVP7gppTS/cBgtchQE6SU9qeUHqg+Pg48AmzMNiotgHnUGl4N/N+pxZyykVL6LnDkjN311DYL+iyXxTV0G4EnTtnew9wH73Uppf1QOeADa5sQW7t7GXAgpTTf/QQT8M2I+FFEeIuK5ntP9VSWO+eZpq83t3T+/S5wzzxt5lHz1JMT5k2LiIjnAL8K/GCO5pdExP9GxD0RcUlzIxPnPm6ZR63hZub/Ut4cyl49tc2Ccqmh2xZExL3A+jmabksp/et8T5tjn0ttnmd1jtXbOPvs3EtTSvsiYi3wrYjYUf0GQovgbGME/APwESq58hHg41SKhtNeYo7nmluLqJ48iojbgFngs/O8jHnUPPXkhHnTAiKiH7gbuDWldOyM5geAC1JKE9VT+74CXNTkENvduY5b5lHGIqIbeAPwwTmazaGlY0G51Oh96K5fwNP2AGOnbI8C++bodyAiRlJK+6vT9gcXEqMqzjVWUbk5/G9wlvsKppT2Vf89GBFfpjIt7AfRRVJvPkXEPwH/NkdTvbmlBaojj24BXg+8Os1zgbJ51FT15IR5k7GI6KJSzH02pfSlM9tPLfBSSl+PiL+PiDVeh9o8dRy3zKPsvQ54IKV04MwGc6hl1FPbLCiXsjjl8qvAzRGRj4jNVL4h+OE8/W6pPr4FmG/GT4vjemBHSmnPXI0R0Ve9YJ2I6ANeA2yfq68W3xnXIryZuf/vtwIXRcTm6jd1N1PJIzVBRNwAvB94Q0ppap4+5lFz1ZMTXwV+u7pK34upLAq1v9mBtqvqtdufBh5JKf31PH3WV/sREVdT+exyuHlRtrc6j1vmUfbmPcvKHGoZ9dQ2C/os19AM3dlExJuBvwOGga9FxIMppdemlH4cEXcBP6FyWtLvP7PCZUR8CrijuiLmR4G7IuL3gMeBt5yvWAXMcd51RGwAPpVSuhFYB3y5ejzoBP4lpfTvTY+yfd0eEZdTmXbfBbwTTh+j6uqK7wG+AXQAd6aUfpxRvO3oE0CeyulIAPenlN5lHmVnvpyIiHdV2+8Avk5lZb6dwBTwO1nF26ZeCvwW8HD84pY5fwJsgtoY3QS8OyJmgRPAzfPNgOu8mPO4ZR61jojopbIq4jtP2Xfq+JhDTRYRnwOuA9ZExB7gz5intlmMz3Ln7bYFkiRJkqTzK4tTLiVJkiRJi8CCTpIkSZKWKAs6SZIkSVqiLOgkSZIkaYmyoJMkSZKkJcqCTpIkSZKWKAs6SZIkSVqiLOgkSZIkaYn6f2FRMcXC+HMRAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Create points for contour plot of marginal density\n", + "xlim = -10, 10\n", + "ylim = -8, 8\n", + "levels = np.linspace(-7, -1, 20)\n", + "x = np.linspace(*xlim, 80)\n", + "y = np.linspace(*ylim, 80)\n", + "X, Y = np.meshgrid(x, y)\n", + "Z = [[log_pdf.marginal_log_pdf(i, j) for i in x] for j in y]\n", + "\n", + "# Plot contours and optimiser progress\n", + "fig = plt.figure(figsize=(15, 6))\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "ax.contour(X, Y, Z, levels=levels, colors='k', alpha=0.2)\n", + "technicolor_dreamline(ax, walk[:, 0], walk[:, 9])\n", + "ax.set_xlim(*xlim)\n", + "ax.set_ylim(*ylim)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Doesn't seem so!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Rosenbrock function" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can repeat this trick on the Rosenbrock function (which is not _too_ hard, Nelder-Mead can solve it)." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "error = pints.toy.RosenbrockError()\n", + "x0 = [-4, -2]\n", + "\n", + "opt = method(x0)\n", + "walk = [x0]\n", + "for i in range(150):\n", + " opt.tell([error(x) for x in opt.ask()])\n", + " walk.append(opt.x_guessed())\n", + "walk = np.array(walk)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Create points for contour plot of marginal density\n", + "xlim = [-5, 5]\n", + "ylim = [-3, 7]\n", + "levels = np.geomspace(1, 1e4, 20) - 1\n", + "x = np.linspace(*xlim, 400)\n", + "y = np.linspace(*ylim, 400)\n", + "X, Y = np.meshgrid(x, y)\n", + "Z = [[error([i, j]) for i in x] for j in y]\n", + "\n", + "# Plot contours and optimiser progress\n", + "fig = plt.figure(figsize=(15, 6))\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "ax.contour(X, Y, Z, levels=levels, cmap='viridis', alpha=0.2)\n", + "technicolor_dreamline(ax, walk[:, 0], walk[:, 1], lw=3)\n", + "ax.set_xlim(*xlim)\n", + "ax.set_ylim(*ylim)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Again, it takes a few exploratory steps after which it quickly moves towards the optimum.\n", + "We can zoom in, to see the rest:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.5860059201340367e-08 0.022600062500457728\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Create points for contour plot of marginal density\n", + "xbest = walk[-1, :]\n", + "xlim = [xbest[0] - 0.005, xbest[0] + 0.005]\n", + "ylim = [xbest[1] - 0.005, xbest[1] + 0.005]\n", + "levels = np.geomspace(1, 1.03, 30) - 1\n", + "x = np.linspace(*xlim, 400)\n", + "y = np.linspace(*ylim, 400)\n", + "X, Y = np.meshgrid(x, y)\n", + "Z = [[error([i, j]) for i in x] for j in y]\n", + "\n", + "print(np.min(Z), np.max(Z))\n", + "\n", + "# Plot contours and optimiser progress\n", + "fig = plt.figure(figsize=(15, 6))\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "ax.contour(X, Y, Z, levels=levels, cmap='viridis', alpha=0.2)\n", + "technicolor_dreamline(ax, walk[:, 0], walk[:, 1], lw=3)\n", + "ax.set_xlim(*xlim)\n", + "ax.set_ylim(*ylim)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Fitzhugh-Nagumo model - fully observable" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The Fitzhugh-Nagumo model is periodic, which can make it slightly tricky perhaps?" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "model = pints.toy.FitzhughNagumoModel()\n", + "\n", + "xtrue = model.suggested_parameters()\n", + "times = model.suggested_times()\n", + "values = model.simulate(xtrue, times)\n", + "r = np.random.default_rng(1) # Create a seeded generator to get reproducible noise\n", + "values += r.normal(0, 0.5, values.shape)\n", + "problem = pints.MultiOutputProblem(model, times, values)\n", + "\n", + "error = pints.SumOfSquaresError(problem)\n", + "xlim = [1e-3, 2]\n", + "ylim = [1e-3, 2]\n", + "zlim = [1e-3, 10]\n", + "boundaries = np.vstack((xlim, ylim, zlim)).T\n", + "boundaries = pints.RectangularBoundaries(boundaries[0], boundaries[1])" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Minimising error measure\n", + "Using Covariance Matrix Adaptation Evolution Strategy (CMA-ES)\n", + "Running in parallel with 7 worker processes.\n", + "Population size: 7\n", + "Iter. Eval. Best Current Time \n", + "0 7 610.2993 610.2993 0:00.1\n", + "1 14 184.178 184.178 0:00.2\n", + "2 21 141.8668 141.8668 0:00.2\n", + "3 28 141.8668 238.1141 0:00.2\n", + "20 147 83.48046 84.7101 0:00.7\n", + "40 287 83.07153 83.07201 0:01.2\n", + "60 427 83.07134 83.07135 0:01.8\n", + "80 567 83.07134 83.07134 0:02.4\n", + "100 707 83.07134 83.07134 0:03.0\n", + "120 847 83.07134 83.07134 0:03.6\n", + "140 987 83.07134 83.07134 0:04.2\n", + "160 1127 83.07134 83.07134 0:04.8\n", + "180 1267 83.07134 83.07134 0:05.4\n", + "200 1407 83.07134 83.07134 0:06.0\n", + "220 1547 83.07134 83.07134 0:06.6\n", + "240 1687 83.07134 83.07134 0:07.2\n", + "260 1827 83.07134 83.07134 0:07.8\n", + "280 1967 83.07134 83.07134 0:08.4\n", + "300 2107 83.07134 83.07134 0:09.0\n", + "320 2247 83.07134 83.07134 0:09.5\n", + "337 2359 83.07134 83.07134 0:10.0\n", + "Halting: No significant change for 200 iterations.\n", + "10.49 seconds\n" + ] + } + ], + "source": [ + "# Use a fixed starting point for this one\n", + "x0 = xtrue * 1.3\n", + "\n", + "controller = pints.OptimisationController(\n", + " error, x0, boundaries=boundaries, method=method)\n", + "controller.set_parallel(parallel)\n", + "\n", + "b = pints.Timer()\n", + "xbest, fbest = controller.run()\n", + "print(b.format())" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Found xbest Relative error\n", + " 8.712e-02 1.000e-01 -12.877% \n", + " 5.734e-01 5.000e-01 14.671% \n", + " 2.929e+00 3.000e+00 -2.360% \n", + "\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "print(' Found xbest Relative error' )\n", + "for x, y in zip(xbest, xtrue):\n", + " e = (x - y) / y \n", + " print(f' {x:> 3.3e} {y:> 3.3e} {e:> 3.3%} ')\n", + "print()\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot(1, 2, 1)\n", + "ax.set_xlabel('Time')\n", + "ax.set_label('Value')\n", + "ax.plot(times, values, label='Noisy data', alpha=0.7)\n", + "ax.plot(times, problem.evaluate(xtrue), '--', label='Clean data', alpha=0.7)\n", + "ax.plot(times, problem.evaluate(xbest), label='Fit')\n", + "ax.legend()\n", + "ax = fig.add_subplot(1, 2, 2)\n", + "function_between_points(ax, error, xtrue, xbest)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As before, the optimiser seems to find the right answer without too much difficulties. But we had to cheat a bit here by choosing a good starting point! It doesn't seem to find the optimum from all random points within the boundaries!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Detailed run" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "83.59882874778327 1535.472422939695\n", + "84.28386356034511 7589.604854692392\n", + "83.40920637194193 6013931.213248802\n" + ] + } + ], + "source": [ + "# Create points for contour plot of marginal density\n", + "def contour(xlim, ylim, idx):\n", + " n = 80\n", + " x = np.linspace(*xlim, n)\n", + " y = np.linspace(*ylim, n)\n", + " X, Y = np.meshgrid(x, y)\n", + " Z = [[error(idx(i, j)) for i in x] for j in y]\n", + " print(np.min(Z), np.max(Z))\n", + " return X, Y, Z\n", + "\n", + "n = 100\n", + "X1, Y1, Z1 = contour(xlim, ylim, idx=lambda i, j: [i, j, xtrue[2]])\n", + "levels1 = np.geomspace(95, 1250, n)\n", + "X2, Y2, Z2 = contour(xlim, zlim, idx=lambda i, j: [i, xtrue[1], j])\n", + "levels2 = np.geomspace(95, 1000, n)\n", + "X3, Y3, Z3 = contour(ylim, zlim, idx=lambda i, j: [xtrue[0], i, j])\n", + "levels3 = np.geomspace(95, 1e3, n)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "83.07134493234602\n" + ] + } + ], + "source": [ + "np.random.seed(1)\n", + "x0 = [0.75, 1.5, 3]\n", + "opt = method(x0, boundaries=boundaries)\n", + "walk = [x0]\n", + "for i in range(400):\n", + " opt.tell([error(x) for x in opt.ask()])\n", + " walk.append(opt.x_guessed())\n", + "walk = np.array(walk)\n", + "np.random.seed()\n", + "\n", + "print(opt.f_guessed())" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Plot contours and optimiser progress\n", + "def fig3():\n", + " fig = plt.figure(figsize=(15, 4))\n", + " ax1 = fig.add_subplot(1, 3, 1)\n", + " ax1.contourf(X1, Y1, Z1, levels=levels1, cmap='viridis_r', alpha=0.7)\n", + " ax1.set_xlim(*xlim); ax1.set_ylim(*ylim)\n", + " ax1.set_xlabel('p1'); ax1.set_ylabel('p2')\n", + " ax2 = fig.add_subplot(1, 3, 2)\n", + " ax2.contourf(X2, Y2, Z2, levels=levels2, cmap='viridis_r', alpha=0.7)\n", + " ax2.set_xlim(*xlim); ax2.set_ylim(*zlim)\n", + " ax2.set_xlabel('p1'); ax2.set_ylabel('p3')\n", + " ax3 = fig.add_subplot(1, 3, 3)\n", + " ax3.contourf(X3, Y3, Z3, levels=levels3, cmap='viridis_r', alpha=0.7)\n", + " ax3.set_xlim(*ylim); ax3.set_ylim(*zlim)\n", + " ax3.set_xlabel('p2'); ax3.set_ylabel('p3')\n", + " return fig, ax1, ax2, ax3\n", + "\n", + "def p3(ax1, ax2, ax3, x, marker='x', markersize=10, color=None):\n", + " ax1.plot(x[0], x[1], marker, markersize=markersize, color=color)\n", + " ax2.plot(x[0], x[2], marker, markersize=markersize, color=color)\n", + " ax3.plot(x[1], x[2], marker, markersize=markersize, color=color)\n", + "\n", + "fig, ax1, ax2, ax3 = fig3()\n", + "technicolor_dreamline(ax1, walk[:, 0], walk[:, 1], lw=3)\n", + "technicolor_dreamline(ax2, walk[:, 0], walk[:, 2], lw=3)\n", + "technicolor_dreamline(ax3, walk[:, 1], walk[:, 2], lw=3)\n", + "p3(ax1, ax2, ax3, xtrue)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "That's more like it!\n", + "These error surfaces look pretty complicated, but CMA-ES does its usual thing of starting off with very big exploratory steps, and then moving towards the solution.\n", + "\n", + "There are some weird areas, and maybe even local optima? \n", + "We can draw orthogonal lines through a few points to explore:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "x1 = np.array([0.620, 0.522, 5.91])\n", + "fig, ax1, ax2, ax3 = fig3()\n", + "p3(ax1, ax2, ax3, x1, '.', 10, color='tab:orange')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The plots below are for the orange point, and show three cross-sections (3 columns) of the score, at two zoom levels (2 rows)." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(15, 4))\n", + "ax1 = fig.add_subplot(1, 3, 1)\n", + "ax2 = fig.add_subplot(1, 3, 2)\n", + "ax3 = fig.add_subplot(1, 3, 3) \n", + "function([ax1, ax2, ax3], error, x1, scales=0.5 * x1, evaluations=100)\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax1 = fig.add_subplot(1, 3, 1)\n", + "ax2 = fig.add_subplot(1, 3, 2)\n", + "ax3 = fig.add_subplot(1, 3, 3) \n", + "function([ax1, ax2, ax3], error, x1, scales=0.01 * x1, evaluations=50)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This looks a bit like a local optima, but tweaking the parameters to land _exactly_ at the lower end of the parabola is hard (changing 1 parameter changes the shapes of the other two curves). Trying out a Nelder-Mead optimisation from that point also led to a very different point after the maximum number of iterations." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "x2 = np.array([0.490, 0.8, 1.5])\n", + "\n", + "fig, ax1, ax2, ax3 = fig3()\n", + "p3(ax1, ax2, ax3, x2, '.', 10, color='black')" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(15, 4))\n", + "ax1 = fig.add_subplot(1, 3, 1)\n", + "ax2 = fig.add_subplot(1, 3, 2)\n", + "ax3 = fig.add_subplot(1, 3, 3) \n", + "function([ax1, ax2, ax3], error, x2, scales=0.5 * x2, evaluations=100)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This looks like a pretty interesting score function!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Starting point\n", + "\n", + "To select a starting point, we (1) make a guess, (2) plot the score function near that guess, and (3) iterate and refine:" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "83.59882874778327 1535.472422939695\n", + "720.2702694385157 1558.2958904172635\n", + "312.58378909547474 15225569.114905365\n" + ] + } + ], + "source": [ + "x0 = [0.75, 1.5, 3]\n", + "\n", + "# Create points for contour plot of marginal density\n", + "def contour(xlim, ylim, idx):\n", + " n = 80\n", + " x = np.linspace(*xlim, n)\n", + " y = np.linspace(*ylim, n)\n", + " X, Y = np.meshgrid(x, y)\n", + " Z = [[error(idx(i, j)) for i in x] for j in y]\n", + " print(np.min(Z), np.max(Z))\n", + " return X, Y, Z\n", + "\n", + "n = 100\n", + "X1, Y1, Z1 = contour(xlim, ylim, idx=lambda i, j: [i, j, x0[2]])\n", + "levels1 = np.geomspace(95, 1250, n)\n", + "X2, Y2, Z2 = contour(xlim, zlim, idx=lambda i, j: [i, x0[1], j])\n", + "levels2 = np.geomspace(95, 1000, n)\n", + "X3, Y3, Z3 = contour(ylim, zlim, idx=lambda i, j: [x0[0], i, j])\n", + "levels3 = np.geomspace(95, 1e3, n)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(15, 4))\n", + "ax1 = fig.add_subplot(1, 3, 1)\n", + "ax1.contourf(X1, Y1, Z1, levels=levels1, cmap='viridis_r', alpha=0.7)\n", + "ax1.set_xlim(*xlim); ax1.set_ylim(*ylim)\n", + "ax1.set_xlabel('p1'); ax1.set_ylabel('p2')\n", + "ax2 = fig.add_subplot(1, 3, 2)\n", + "ax2.contourf(X2, Y2, Z2, levels=levels2, cmap='viridis_r', alpha=0.7)\n", + "ax2.set_xlim(*xlim); ax2.set_ylim(*zlim)\n", + "ax2.set_xlabel('p1'); ax2.set_ylabel('p3')\n", + "ax3 = fig.add_subplot(1, 3, 3)\n", + "ax3.contourf(X3, Y3, Z3, levels=levels3, cmap='viridis_r', alpha=0.7)\n", + "ax3.set_xlim(*ylim); ax3.set_ylim(*zlim)\n", + "ax3.set_xlabel('p2'); ax3.set_ylabel('p3')\n", + "\n", + "ax1.plot(x0[0], x0[1], 'x', markersize=10, color='tab:orange')\n", + "ax2.plot(x0[0], x0[2], 'x', markersize=10, color='tab:orange')\n", + "ax3.plot(x0[1], x0[2], 'x', markersize=10, color='tab:orange')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Starting here, we might expect the optimiser to make p1 smaller (left on 1st and 2nd graph), make p2 smaller (left on 3d graph), and not do much with p3:" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "83.59882874778327 1535.472422939695\n", + "86.10892015497518 3835.6231067366507\n", + "127.85699078005902 8727219.359617624\n" + ] + } + ], + "source": [ + "x0 = [0.325, .75, 3]\n", + "\n", + "# Create points for contour plot of marginal density\n", + "def contour(xlim, ylim, idx):\n", + " n = 80\n", + " x = np.linspace(*xlim, n)\n", + " y = np.linspace(*ylim, n)\n", + " X, Y = np.meshgrid(x, y)\n", + " Z = [[error(idx(i, j)) for i in x] for j in y]\n", + " print(np.min(Z), np.max(Z))\n", + " return X, Y, Z\n", + "\n", + "n = 100\n", + "X1, Y1, Z1 = contour(xlim, ylim, idx=lambda i, j: [i, j, x0[2]])\n", + "levels1 = np.geomspace(95, 1250, n)\n", + "X2, Y2, Z2 = contour(xlim, zlim, idx=lambda i, j: [i, x0[1], j])\n", + "levels2 = np.geomspace(95, 1000, n)\n", + "X3, Y3, Z3 = contour(ylim, zlim, idx=lambda i, j: [x0[0], i, j])\n", + "levels3 = np.geomspace(95, 1e3, n)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(15, 4))\n", + "ax1 = fig.add_subplot(1, 3, 1)\n", + "ax1.contourf(X1, Y1, Z1, levels=levels1, cmap='viridis_r', alpha=0.7)\n", + "ax1.set_xlim(*xlim); ax1.set_ylim(*ylim)\n", + "ax1.set_xlabel('p1'); ax1.set_ylabel('p2')\n", + "ax2 = fig.add_subplot(1, 3, 2)\n", + "ax2.contourf(X2, Y2, Z2, levels=levels2, cmap='viridis_r', alpha=0.7)\n", + "ax2.set_xlim(*xlim); ax2.set_ylim(*zlim)\n", + "ax2.set_xlabel('p1'); ax2.set_ylabel('p3')\n", + "ax3 = fig.add_subplot(1, 3, 3)\n", + "ax3.contourf(X3, Y3, Z3, levels=levels3, cmap='viridis_r', alpha=0.7)\n", + "ax3.set_xlim(*ylim); ax3.set_ylim(*zlim)\n", + "ax3.set_xlabel('p2'); ax3.set_ylabel('p3')\n", + "\n", + "ax1.plot(x0[0], x0[1], 'x', markersize=10, color='tab:orange')\n", + "ax2.plot(x0[0], x0[2], 'x', markersize=10, color='tab:orange')\n", + "ax3.plot(x0[1], x0[2], 'x', markersize=10, color='tab:orange')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And from there on it should be plain sailing? So looks surprisingly doable, despite the crazy shapes.\n", + "At the same time, new chasms etc have appeared that we might not have hopped over so easily...\n", + "A starting point in the lower-left of panel 1 might be easiest, but leaving it like this for now to have a hard test case." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Testing performance" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2D Parabola\n", + "\n", + "If this doesn't work, something is broken." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.23 seconds\n" + ] + } + ], + "source": [ + "t = pints.Timer()\n", + "test = run_replicates(np.geomspace(1, 50, 20), 20, cp.two_dim_parabola, parallel)\n", + "print(t.format())" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df = pd.melt(test, id_vars=['iterations', 'replicate'])\n", + "(ggplot(df, aes(x='iterations', y='value'))\n", + " + geom_jitter(width=0)\n", + " + geom_smooth(span=0.25, se=False)\n", + " + facet_wrap('variable', scales='free')\n", + " + theme(subplots_adjust={'wspace': 0.25})\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Both lines move in the right direction, and the error quickly goes to zero." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Rosenbrock error\n", + "\n", + "Now we test on a standard 2d rosenbrock function." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.46 seconds\n" + ] + } + ], + "source": [ + "t = pints.Timer()\n", + "test = run_replicates(np.geomspace(1, 150, 30), 10, cp.rosenbrock, parallel)\n", + "print(t.format())" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df = pd.melt(test, id_vars=['iterations', 'replicate'])\n", + "(ggplot(df, aes(x='iterations', y='value'))\n", + " + geom_jitter(width=0)\n", + " + geom_smooth(span=0.3, se=False)\n", + " + facet_wrap('variable', scales='free')\n", + " + theme(subplots_adjust={'wspace': 0.25})\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The starting position is randomly sampled but chosen to have an error of 10, so we can see that CMAES can take uphill steps at the start.\n", + "Note that the smoothed line doesn't capture the trend very well, and just under a 100 iterations are required to get a good result." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Bounded, untransformed logistic model\n", + "\n", + "Now we fit to a 2d badly scaled time-series problem." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "3.07 seconds\n" + ] + } + ], + "source": [ + "t = pints.Timer()\n", + "test = run_replicates(np.geomspace(1, 300, 30), 10, cp.bounded_untransformed_logistic, parallel)\n", + "print(t.format())" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df = pd.melt(test, id_vars=['iterations', 'replicate'])\n", + "(ggplot(df, aes(x='iterations', y='value'))\n", + " + geom_jitter(width=0)\n", + " + geom_smooth(span=0.3, se=False)\n", + " + facet_wrap('variable', scales='free')\n", + " + theme(subplots_adjust={'wspace': 0.25})\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This looks good. Note that:\n", + "\n", + "1. The minimum error is not 0: the smooth curve fitted through the noisy data always has a residual error.\n", + "2. The optimal distance is not 0: the noise added to the data causes a bias away from the true solution." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Bounded Fitzhugh-Nagumo" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5.08 seconds\n" + ] + } + ], + "source": [ + "t = pints.Timer()\n", + "test = run_replicates(np.geomspace(1, 50, 10), 10, cp.bounded_fitzhugh_nagumo, parallel)\n", + "print(t.format())" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df = pd.melt(test, id_vars=['iterations', 'replicate'])\n", + "(ggplot(df, aes(x='iterations', y='value'))\n", + " + geom_jitter(width=0)\n", + " + geom_smooth(span=0.3, se=False)\n", + " + facet_wrap('variable', scales='free')\n", + " + theme(subplots_adjust={'wspace': 0.25})\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This is an interesting test!\n", + "\n", + "- Convergence is all-or-nothing: Either it gets to almost the right answer in 10-20 iterations, or it gets stuck somewhere (if you don't see any failing examples, try re-running).\n", + "- Many runs show an increased distance from ~30 to ~50 iterations: this is presumably the optimiser overfitting to the noise." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/utils.py b/utils.py index 9692481..ab09965 100644 --- a/utils.py +++ b/utils.py @@ -64,3 +64,172 @@ def ecdf_norm_plotter(draws, normal_sd, x=np.linspace(-5, 5, 100)): plt.ylabel('True cdf') plt.show() + +def technicolor_dreamline(ax, x, y, z=None, lw=1): + """ + Draws a multi-coloured line on a set of matplotlib axes ``ax``. + + The points to plot should be passed in as ``x`` and ``y``, and optionally + ``z`` for a 3d plot. + + Line width can be set with ``lw``, + + Code adapted from: https://github.com/CardiacModelling/FourWaysOfFitting + """ + import matplotlib + import matplotlib.pyplot as plt + from mpl_toolkits.mplot3d.art3d import Line3DCollection + + colormap = 'jet' + cmap_fix = 1 + + x = np.asarray(x) + y = np.asarray(y) + if z is not None: + z = np.asarray(z) + + # Invisible plot for automatic x & y limits + if z is None: + ax.plot(x, y, alpha=0) + else: + ax.plot(x, y, z, alpha=0) + + # Create collection of line segments + stride = max(1, int(len(x) / 1000)) + n = 1 + (len(x) - 1) // stride + segments = [] + for i in range(n): + lo = i * stride + hi = lo + stride + 1 + xs = x[lo:hi] + ys = y[lo:hi] + if z is None: + segments.append(np.vstack((xs, ys)).T) + else: + zs = z[lo:hi] + segments.append(np.vstack((xs, ys, zs)).T) + n = len(segments) + + if z is None: + Collection = matplotlib.collections.LineCollection + else: + Collection = Line3DCollection + + cmap = plt.cm.get_cmap(colormap) + norm = matplotlib.colors.Normalize(0, cmap_fix) + idxs = np.linspace(0, 1, n) + ax.add_collection( + Collection(segments, cmap=cmap, norm=norm, array=idxs, lw=lw)) + + +def function_between_points( + ax, f, x_true, x_found, padding=0.25, evaluations=20): + """ + Like :meth:`pints.plot.function_between_points`, but takes a matplotlib + axes as first argument. + """ + import matplotlib.pyplot as plt + + # Check function and get n_parameters + if not (isinstance(f, pints.LogPDF) or isinstance(f, pints.ErrorMeasure)): + raise ValueError( + 'Given function must be pints.LogPDF or pints.ErrorMeasure.') + n_param = f.n_parameters() + + # Check points + point_1 = pints.vector(x_true) + point_2 = pints.vector(x_found) + del(x_true, x_found) + if not (len(point_1) == len(point_2) == n_param): + raise ValueError('Both points must have the same number of parameters' + + ' as the given function.') + + # Check padding + padding = float(padding) + if padding < 0: + raise ValueError('Padding cannot be negative.') + + # Check evaluation + evaluations = int(evaluations) + if evaluations < 3: + raise ValueError('The number of evaluations must be 3 or greater.') + + # Figure setting + #ax.set_xlabel('T') + ax.set_ylabel('Error') + + # Generate some x-values near the given parameters + s = np.linspace(-padding, 1 + padding, evaluations) + + # Direction + r = point_2 - point_1 + + # Calculate function with other parameters fixed + x = [point_1 + sj * r for sj in s] + y = pints.evaluate(f, x, parallel=False) + + # Plot + ax.plot(s, y, color='green') + ax.axvline(0, color='#1f77b4', label='True parameters') + ax.axvline(1, color='#7f7f7f', label='Estimated parameters') + ax.legend() + + +def function(axes, f, x, scales=None, evaluations=20): + """ + Like :class:`pints.plot.function`, but takes a set of axes as input, and + uses a list of scales instead of lower and upper bounds. + """ + import matplotlib.pyplot as plt + + # Check function and get n_parameters + if not (isinstance(f, pints.LogPDF) or isinstance(f, pints.ErrorMeasure)): + raise ValueError( + 'Given function must be pints.LogPDF or pints.ErrorMeasure.') + n_param = f.n_parameters() + + # Check axes + if len(axes) != n_param: + raise ValueError('Axes list must have length f.n_parameters().') + + # Check point + x = pints.vector(x) + if len(x) != n_param: + raise ValueError('Point x must have length f.n_parameters().') + + # Check scales + if scales is None: + # Guess boundaries based on point x + scales = x * 0.05 + else: + scales = pints.vector(scales) + if len(scales) != n_param: + raise ValueError('Scales must have length f.n_parameters().') + lower = x - scales + upper = x + scales + + # Check number of evaluations + evaluations = int(evaluations) + if evaluations < 1: + raise ValueError('Number of evaluations must be greater than zero.') + + # Create points to plot + xs = np.tile(x, (n_param * evaluations, 1)) + for j in range(n_param): + i1 = j * evaluations + i2 = i1 + evaluations + xs[i1:i2, j] = np.linspace(lower[j], upper[j], evaluations) + + # Evaluate points + fs = pints.evaluate(f, xs, parallel=False) + + # Create figure + axes[0].set_xlabel('Function') + for j, p in enumerate(x): + i1 = j * evaluations + i2 = i1 + evaluations + axes[j].plot(xs[i1:i2, j], fs[i1:i2], c='green', label='Function') + axes[j].axvline(p, c='blue', label='Value') + axes[j].set_xlabel('Parameter ' + str(1 + j)) + axes[j].legend() +