{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", " \n", "## [mlcourse.ai](https://mlcourse.ai) – Open Machine Learning Course \n", "\n", "Author: [Yury Kashnitskiy](https://yorko.github.io). This material is subject to the terms and conditions of the [Creative Commons CC BY-NC-SA 4.0](https://creativecommons.org/licenses/by-nc-sa/4.0/) license. Free use is permitted for any non-commercial purpose." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#
Topic 7. Unsupervised learning\n", "##
Part 1. Principal Component Analysis\n", " \n", "**This is mostly to demonstrate some applications of PCA, for theory, study [topic 7](https://mlcourse.ai/notebooks/blob/master/jupyter_english/topic07_unsupervised/topic7_pca_clustering.ipynb?flush_cache=true) in our course.
The notebook is used in lecture 7 recording, [part 1](https://youtu.be/-AswHf7h0I4).**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "Singular value decomposition (SVD) of matrix $X$:\n", "\n", "$$\\Large X = UDV^T,$$\n", "\n", "where $U \\in R^{m \\times m}$, $V \\in R^{n \\times n}$ - are orthogonal matrices, and $D \\in R^{m \\times n}$ - is a diagonal matrix\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Principal Components Analysis\n", "1. Define \$k" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "np.random.seed(0)\n", "mean = np.array([0.0, 0.0])\n", "cov = np.array([[1.0, -1.0], \n", " [-2.0, 3.0]])\n", "X = np.random.multivariate_normal(mean, cov, 300)\n", "\n", "pca = PCA()\n", "pca.fit(X)\n", "print('Proportion of variance explained by each component:\\n' +\\\n", " '1st component - %.2f,\\n2nd component - %.2f\\n' %\n", " tuple(pca.explained_variance_ratio_))\n", "print('Directions of principal components:\\n' +\\\n", " '1st component:', pca.components_[0],\n", " '\\n2nd component:', pca.components_[1])\n", "\n", "plt.figure(figsize=(10,10))\n", "plt.scatter(X[:, 0], X[:, 1], s=50, c='r')\n", "for l, v in zip(pca.explained_variance_ratio_, pca.components_):\n", " d = 5 * np.sqrt(l) * v\n", " plt.plot([0, d[0]], [0, d[1]], '-k', lw=3)\n", "plt.axis('equal')\n", "plt.title('2D normal distribution sample and its principal components')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1st principal component" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Keep enough components to explain 90% of variance\n", "pca = PCA(0.90)\n", "X_reduced = pca.fit_transform(X)\n", "\n", "# Map the reduced data into the initial feature space\n", "X_new = pca.inverse_transform(X_reduced)\n", "\n", "plt.figure(figsize=(10,10))\n", "plt.plot(X[:, 0], X[:, 1], 'or', alpha=0.3)\n", "plt.plot(X_new[:, 0], X_new[:, 1], 'or', alpha=0.8)\n", "plt.axis('equal')\n", "plt.title('Projection of sample onto the 1st principal component')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have reduced the feature space dimensionality by half, while retaining the most significant features. This is the basic idea of dimensionality reduction - to approximate a multidimensional data set using data of a smaller dimension, while preserving as much information about the dataset as possible." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Visualizing high-dimensional data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Iris example" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Meaning of the 2 components:\n", "0.361 x sepal length (cm) + -0.085 x sepal width (cm) + 0.857 x petal length (cm) + 0.358 x petal width (cm)\n", "0.657 x sepal length (cm) + 0.730 x sepal width (cm) + -0.173 x petal length (cm) + -0.075 x petal width (cm)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn import datasets\n", "\n", "iris = datasets.load_iris()\n", "X, y = iris.data, iris.target\n", "\n", "pca = PCA(n_components=2)\n", "X_reduced = pca.fit_transform(X)\n", "\n", "print(\"Meaning of the 2 components:\")\n", "for component in pca.components_:\n", " print(\" + \".join(\"%.3f x %s\" % (value, name)\n", " for value, name in zip(component,\n", " iris.feature_names)))\n", "plt.figure(figsize=(10,7))\n", "plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=y, s=70, cmap='viridis')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Handwritten digits" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Projecting 64-dimensional data to 2D\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import load_digits\n", "\n", "digits = load_digits()\n", "X = digits.data\n", "y = digits.target\n", "\n", "pca = PCA(n_components=2)\n", "X_reduced = pca.fit_transform(X)\n", "\n", "print('Projecting %d-dimensional data to 2D' % X.shape[1])\n", "\n", "plt.figure(figsize=(12,10))\n", "plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=y, \n", " edgecolor='none', alpha=0.7, s=40,\n", " cmap=plt.cm.get_cmap('nipy_spectral', 10))\n", "plt.colorbar()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at first 2 principal components" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, (ax1, ax2) = plt.subplots(1, 2, sharey=True)\n", "\n", "im = pca.components_[0]\n", "ax1.imshow(im.reshape((8, 8)), cmap='binary')\n", "ax1.set_xticks([])\n", "ax1.set_yticks([])\n", "ax1.set_title('First principal component')\n", "\n", "im = pca.components_[1]\n", "ax2.imshow(im.reshape((8, 8)), cmap='binary')\n", "ax2.set_xticks([])\n", "ax2.set_yticks([])\n", "ax2.set_title('Second principal component')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Data compression" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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XYHVCAqa//TYe7d0buwcMwPDhw1vu6+vs9WSxOH89+fqi6aqrkD5hAuz+/qgeORIVQ4YADvVp6+vplDoSBABZBgN2NS8qfjIa0c3JJPgxIwM/OuysAOCaa67pkO3zlvLQUOTFxAAAsmNjEe3kjaJwwgQUTpjQ6raME+r0O7W18J01C+bHHgPCwty2vR2pNCQEOc1H+rKioxHjpDY5Y8YgZ8yYVrf169dP+0FNJjRs2wYcOQL/WbNg2LsXdkUTws6mNjYWld26AQDKu3dHsJOGcrZZs2CbNavVbVoNAf23bIEtJgbWAQNgVDSf6+yqoqJQ2vypuzg5GeFOmrZZZsyAZcaMVrdJDWFzV61CXWQkTOXlSL3uOjR27466oUPdu+EediQiAsUJCQCAwsRERDhpOGqbNQtNJ8wZzbpYLPDbuxe58+ejvn9/JDzyCOJeeQXFN97o9m33tLbUxnrJJbBeckmr2woKCsTHNZjNCPviCxSewt/JrHSsTUKC09qYZ8yA+YTXk1ZjVGNVFUI+/RT7NmyANTQU3efPR+SHH6LyT39q97adcougRof/tgIIcLIIcnokaONG8UjQqc7s8Ocdu8EAk5NVcLuPBJnN8J01C9aZM2H7y1/cvs0dxeJQG5vBAD8nc6bdR4KOi4iA9ayzYNqyBZZTbBFkc/jTl91ggNHJnHF2JChW40iQ344dCNi8GQGDB8PQ0ABDbS1C5s1DrcZRxs7MesKc8XFSG2dHgroKR4Is8fFAUxOs0dGoOftsBO7Zc8otgiyOc8ZohNFJp31nR4ISNY4EWRMSYO3SBfX9+wMAqs45B7GvvOKBLfe8ttTG2ZGgFMWRoNCvvkJ9RgYsDkdoTzXWNtTG2ZEgf40jQUHffANzcjKszR9uj0yYgOCdO/WxCGoLPR4Jaot2HQmy2xF9992w9+4N6y23dMDWeVd7jgSZKipgP/6irq+HaetWmG+/3dOb6BXtORJUs3AhahYuhJ+fH3y//hqBzz13Si6A2qo9R4IMdXWAzQb4+cFQV4eQb75BicOf8P9I2nMkyBobC0tCAvwOH0ZT9+4I+e47NKaldcRmesXJHAmK2LQJlVOmeHKzOoX2HAmyJCYiYOdOGOrrYQ8IQOj27ag7ye+r/iEXQe2VPH8+/H76CSgrg196OiyLFsE2Z463N8ur/HfsQMh778HWrx/8mv9ua1myBDYdvBhVfEpLkfi3v8HfZAJsNlimT4ft3HO9vVnUifmUlyPx//4PNrsdBqsVVeedh9ozz/T2ZnUKFUuWIOWuu2Awm9GUnIy8Bx7w9iZ1Goa6OoRu24a8RYu8vSmdSsOAAaidPBm9L70UdpMJ9RkZKJ8+/aQe65RaBOUYjRjq0AfgKRfPZDku79FHEdizp1seyxvKQ0PxgMMKesuAAS4/ZuMZZyA7Kwvxx88QO0WVhYRg0Z//3PLzJul7Pm3U2Ls3Dq9Zg9TUVJcfy1uOxsZiwyOPtPy8/yQOI0vMo0fD7PBl2VNJdVQUVtx5Z8vPO8aNc/kxzSkpyP7gA+WFSDuzqshIvHjTTS0/b3PTIq7ptNNw6BTvJ+Wp2tiDgrD3iy/c8ljeUhUZieX/938tP3/rpv1C+c03I/faa11+HH2f80lERES6xUUQERER6ZKhPX0GDAZDKYBsz21Op9XNbrfHaoU6rgvA2mhhXbSxNs6xLtpYG+fEugCsjepO7VoEEREREf1R8M9hREREpEtcBBEREZEucRFEREREusRFEBEREelSu7oNRkZG2pOaLyrojOqK0dKVrQH5iuB+fn7iWNXVyKOarzGiJSQkRDMrKChAZWWl5hO4Wpe8vDwxb2xs1My8WRcA2LdvX5n0DfyoqCivzRnV7240yp8BYmPlEwtCQ0M1s/z8fHHO6LUuALB3717lnElOTtYc72ptpKtmq353Ve1UtQkTLkKcn5+PiooKcc5IdbE4uR6TI9V+RhqvqovquVV1CQ8PF3NX54xq+7Kz5ZOnpH2waj6aHK5D50xKSoqYS6+nvLw8cc4Ax2ojPYeqNocPHxZzqQGo6sQr1eupa9euYi7VJjc3V1kboJ2LoKSkJKxZs0Yzr6qqEscvWLBAzA8cOKCZqSaKv0MnaWcuOeF6LScaLXSxnDlzpjhWVZdKJ1egdqSqy6FDh8Tnlvj6+or5rBOu8XOiMSdcT+tE/fv3F/ceSUlJWLt2rWZ+xMnVhB0tUrSL37dvn2YWEBAgjg0MDBTzvyqu7TRO6CR80UUXiWNP5bpcf/31Yj5+/Hgx79OnjzhnkpOT8cEHH2jmqv3M4sWLxXz37t2aWXBwsDhWtRhQzZmJEydqZhdeeKE4VlWXiooKcbxqP6N1nSZAPSdU81VVl3MVl53JyMhQzpkNGzZo5lrXuzvuWkXn4aysLM1M9burPkjee++9Yi69ns4//3xxLHDsvXPjxo2aeVlZmTj+yiuvFHNpAanqkK76EH///feLuVSb8847Txx7HP8cRkRERLrERRARERHpEhdBREREpEtcBBEREZEucRFEREREusRFEBEREelSu06RV9mxY4eYf/bZZ2Lev39/zUw6HRkAUlNTxTwiIkLMXSX1Q1DV5YsvvhDz008/XTObMGGCOLZbt25irurPoerj4Kpvv/1WzDdt2iTmGRkZmpnq9P5BgwaJeWJiopirTpd2hat16d27t2Z21llniWNdrYun58z3338v5tJp5ADQp08fzeycc8456bEAEB8fL+aenDPfffedmH/66adiPnDgQM1MaiECAH379hVz1X5G1UvHVf/973/FfNeuXWI+atQozUx1KraqJUWPHj3E3B1zRnp/+vrrr8WxUrsNABg+fLhmpqqN6t+9V69eYu6O2vBIEBEREekSF0FERESkS1wEERERkS5xEURERES6xEUQERER6RIXQURERKRLXAQRERGRLrm1T1BJSYmY+/n5ifm0adM0s549e4pjJ06cKOZFRUVi7uOjXQpX+56UlpaKuaouU6dO1cykfjAAMGnSJDHPz88Xc0/371A9v6+vr5jPmDFDM1P1s7nqqqvEPDc3V8wlrs4ZT9YlOTlZHHvllVeKuSt1cYe8vDyXxl900UWamWrOzJ07V8xV22axWDQzV+eMah9ns9nEXOrpkpCQII69+uqrxTwnJ0fMVdvmqoqKCjFX7ecGDx6smal6Q6n2M3V1dWKu2va2kOZWVVWVOFbVi2fAgAGaWZcuXcSxqtqoqOZ8W/BIEBEREekSF0FERESkS1wEERERkS5xEURERES6xEUQERER6RIXQURERKRLXAQRERGRLrm1T1B0dLSYR0VFifmKFSs0s6FDh4pjVXlERISYm81mMXdFTEyMmKvq8uqrr2pmI0eOFMcOGzZMzCMjI8Xck3UB1D02VLVZuXKlZnbGGWeIY6W+VAAQHBws5qr+Hq5Q9ddQvdakuqjmxPnnny/m3qwLoH49JSUlifmqVas0s4yMDHHspZdeKuaq/UxZWZmYu0I1Z1S9ft59913NrFevXuLYv/zlL2Kuqos7euFIVHNGtZ9bvny5ZjZixAhx7OjRo8U8JSVFzD3dQyk8PFzMGxoaxFx63z5w4IA4VtXfT9XTzB214ZEgIiIi0iUugoiIiEiXuAgiIiIiXeIiiIiIiHSJiyAiIiLSJS6CiIiISJfceor8WWedJeYmk0nM//Of/2hmxcXF4tjGxkYxV51qV1hYKOYqBoNBMxszZow49p577hHz1157TTMrLS0Vx6rqojqd2NW6qKhOkQwMDBTzN998UzNT1SY3N1fMe/bsKeaePBX87LPPFvOAgAAxl+qiOk1bVZcePXqIuadPkZ8wYYKYq07HfueddzSzmpoacez+/fvFvG/fvmLuSar9zKOPPirm69at08yOHDkijv3tt9/EfMiQIWLuaapWIk8//bSY7927VzPLzMwUxx46dEjMVW1APE11iv8TTzwh5ocPH9bMVK+XX375RczDwsLE3B14JIiIiIh0iYsgIiIi0iUugoiIiEiXuAgiIiIiXeIiiIiIiHSJiyAiIiLSJS6CiIiISJfa3SdI6oeTkJAgjp0zZ46YS/0G1qxZI45V9bMZNGiQmBcVFYm5K1R1ufrqq8Vcqst7770njlXVZeDAgS6Nd5WqT9H1118v5nv27NHMvvjiC3FsZWWlmAcHB7s03hWerMt///tfcWxFRYWYq+qi6inTFtJ+Ji4uThx7ySWXiPmOHTs0M1fnjKqvlfR7uSo6OlrMp0+fLuZffvmlZnbw4EFxrKq/UlBQkJiXl5eLuatUvXiuuuoqMb/ttts0s6+//locO3/+fDFX9fw6evSomLsqJiZGzG+44QYxv/vuuzWzr776Shz7t7/9Tcx9fNzaytApHgkiIiIiXeIiiIiIiHSJiyAiIiLSJS6CiIiISJe4CCIiIiJd4iKIiIiIdImLICIiItIlt56EX1xcLOZSHwpA7kVhs9nEsapeC6r+HqrHd4WqLqq+LYcOHdLMVNvt7+8v5qqeMJ6sCwCUlJSI+fbt28V87969mpmqv4aqd4lqvN1uF3NXuFqX3bt3a2aqni6qPkB1dXVi7uk5o5qz27ZtE3OpNmazWRwbHx8v5g0NDWLuSap9nKpny4EDBzQz1b9ply5dxLyqqkrMPU01Z9euXSvm33//vWam2o9kZGSIuapHksVi0czcsQ+qr68X8/Xr14u51FtL1buqX79+Yl5aWirm0u/f1trwSBARERHpEhdBREREpEtcBBEREZEucRFEREREusRFEAD/5cvR/fzz0X3qVET+5z/e3pwOF3zTTYjo3Rtho0e3ut1QWYmUa65B+pQpSLnmGhi9/OXGjhZ0440I79ULYaNGtbrdd+1ahI0cibSePeEvfMn2j0yrNoGLF6Pr5MlImToVXW64Acbqai9toff4zZuHoNRUBJ5xRqvbfe+/HwlTpiDh3HMRd8UVMClOmPij0drPHBf20ktI7d4dRsUX3/+Iou68E0mDB6PLOee0uj38ySfRddQoJE2diqSpUxH42Wde2kLviL7rLiQPGYKESZN+l4WuWIGks89G4qRJiHz44ZN+Dt0vgoz79sH/tdeQ9fbbOLx2LUI+/xy+2dne3qwO1ThrFmrefvt3twc8/TTqRozAoU2bUDdiBKJfftkLW+c9TZdeitp33vnd7dY+fVD72mtoOOFNTk+0amMeNw45H36I3A0bYE5NReTy5V7YOu+yXHYZGpycbWS+9VYUbtqEwo0bUT9hAsKfftoLW+c9WvsZADAVFCDwyy9hSUzs4K3qHI5efDFKND6AV82Zg/wNG5C/YQPqx4/v4C3zrtqLLnJaF/9vvkHgli3I/+gjFGzejKq5c0/6OTx/nXo3SrZYsKK4GN8HBGBIYyOKTCbMjY1Fo/Hk13Km336DZcgQ2AMDAQB1Z5yB0C1bUHHtte7abLeJq6vD37/9Fvujo5FRUYGKgADM8Pd36fcHAMuoUTDm5Pzudr+PPkLVK68AAKr+8hd0vfJKlN5xh0vP5Qnx9fV4ZNcu7AkPR9+qKpT5+2PR6ae7/LhadbH17u3yY3eULg0N+Mfu3dgdFoa+1dUo8/fH7LAwj80Zy4QJQPMpvw0DByJk0yaXnseT4uvr8fDOncfmTXU1yvz8cH2XLi7XxnbmmTA4+yAVFgaUlQEADHV1gMHg0vN4irPX0w1JSR6bMwAQ9cADqFiwAPHXXefSc3haYlMTns3MxM/BwRhw9ChKfH0xMyAADS7+WzYOHw5Tbq6btrLjJTQ2/q8udXUo8fXFbd27u/y4WnUJfeMNVM+bBzS3gLHFxJz0c7R7ESSde6/qN/Doo4+KudSLYcmSJQivrETa009j6xVX4K2EBEx/6y38IyMDuwcMwJAhQ1ru6/v22/BftqzVeLPFAnPXrig44Xa/+HgkffUVzEVFsPn7I+jzz1F32mmt+n242vfE1br88MMPAIBudjueBzCtthY7DQasrqnBPy68ELsHDGh1/367dmHU118DAGJvuaXldmtaGupOWFUXFRUBAHzLyxFosbT/p039AAAgAElEQVTqTxNeUoLa0FCgoQEICYGprMztfVBUvXgeeOABMd+xYwe62e1IamrCxWYzdhmNeL2qCgnffIOzly5tdd8+P/6IYQ49LWJuvBEAYE9Lg3nVqt89dnFxMUw1NQi02VDt5M86fnY7zGYzmpqafpe52r+jtrZWzFV1Of5a6ma3I8lsxkVNTdhlNOKNhgY8Pnky9g0e3Or+jrU5XhfAeW2O973Sqs3xXjsh77yD6ilTlL13nHFlP/PEE0+I+bfffgsA6GqzIampCTMslpZ589Cf/oRfhw5tdf/eO3ZgyNatAIDYOXP+F/ToAbz7bqv7FhYWAgBMtbXwdVKb0H/8A6Hvvw9baCjyV66EzaE2rs4Z1Wvz8ccfF/P8/HwAQJ3FgqS6OswNDsa+yEi8UFGBx0aMwKGRI1vdP23bNpzevMiNvOaalttt6eloeuONVvc9vp/xqa5GkNWKI0eOtGRBW7bAEBeHup49Ycex+WM7iTkjkXrtAMDixYvF/PDhwwCAIwC6AriwsRE7AbzV2Ih/TZuG/Q7vPwCQ8cMPGPr55wCAqMmTW263du+OmldfbXXfzMxMAIBfaSkiLZaWWgHH5lHsW28heM0a1Pfti8I774QtPLwld0dPrsbGRjG/Q/HBNycnB5U4oS4NDeixaxeu/te/Wt23x3ffof/mzS0/R06YAMD5exNwbF/jV1aGKIulVb+9mN9+g+WzzxD/j3/A5u+PkrvuQsMJH3zbWptT6kgQAFRGRKA4IQEAUJiYiHAnDcLMM2bAPGNGq9scJ5ajpvR0VMydi/QbboAtIAD1vXsDJpP7N9xNDgPY2fyp40cAkx12Jsft6d8fe/r3BwDcfPPN7nlig6HTfnIFgCyDAbuaP6n+ZDCgm5M3lP2DB2O/w5v/TTfd1GHb501ZQEttfjQYcK6T14xjbdxRl+jlywGTCdXnn+/yY3lSq3ljNOI8J99H+XXo0JaF0S0OHypORsXtt6Pi9tsRuXw5Il5/HRUuPp6n5JpM2OfnBwDY7euLyc1HsBxljhiBzBEjAACXXHLJST2Pob4eES+8gPzmI86ngsMAdjb/9w8ApjmZM78MGYJfmhdGs2fPPunnKr7wQlTeeCNgMCDu2WeR8PjjyFd8APKWE+uS6uQ+B4cPx8Hhw1t+nnHC+3RbGaxW+FRXI2v1agTs3o2k22/Hoc2bT+o96pRbBFl9/rfJNoMBPk5We86OBHXTOBIEAFUXXYSiP/0JAJDwzDNoUnSF9SbHNbsVgNHJ7+94JCjU4XsbWqttLZboaPiUlsISG3vs/6OiTnazPe7EugQ6uc+JR4L8Xn8dgPaRoD+KRocdgw2A0Wr93X0ca3O8LsDJ1Sb8/fcR8sUXyHnllU69cAacvJ6c1MbxSBAcP8U7ORLUVjXTpiHh2ms77SLIcc5o7WccjwQFPPVUy+3OjgRp8cnJgW9uLrpOm3bs56IidL3gAuS++y6ssbEu/Aae05Z9sOORoAiHBZ6zI0ESS3Q0/Jo/lFdOn45uDkdpO5u27INPPBIU+swzx+7fzvemprg4VIwbBxgMaOjfHzAaYaqshPUk3qNOuUVQW7TnSBAAmMrLgaAg+BYWInzrVhx47TVPb6JHuetIUO2ECYjesAHFc+YgesMGVI0d665N9Aq9HglqC3cdCQr4/HNE/PvfyH7ttZbv2Z3q3HUkyJSZCTR/wAr+5BOY09Lcsn3e4o4jQebevZH9/fewNi8+U8ePR86aNbB14g9cbeGuI0G+ZWVA164AgLBPP0VDjx5u2T5vcdeRoMqxYxH2ww+oHj8efllZMJjNsEZGntRj/SEXQe2VePPNMFZUwO7jg7wFC2ANDfX2JnWoxDvuQND27TAdOYL0ceNQduONqLroIpRfey0SbrkFUWvXwpyQgMP/+Ie3N7VDxdx0E/y3bYOpshJJI0ag6rbbUDtzJgI3bULUfffBWF6OlHnz0JCRgdyXXvL25nYordpE3Xsv0NiIrs3fEakfMABF993n3Y3tYBHz5sHv229hrKhA3JAhqLnjDtRfeilCly5F+IEDgNEIS2IiSu6/39ub2qHibrkFAd99B1NlJbqOHo3KW25BzUm+Cf7RpC9ahNAff4TPkSMYOHUq8q67DmXTpiHlmWcQcvAgYDCgKSkJBYrvLv3RaNWl7Pzz0f3BB9F92jTA1xcFS5ee9FHnU2oRVBUZiX85HA7cduaZbnnc3DfeUH7ZsjPINhjQ3+HnfxoMCHXDKZMF//yn09ttkZE4eMIX2zqjbIMBQ5q/vwAATzX/ydTVv5yXNR+qPVH9lCnInzJFeVHGziDbYMBgX9+Wn580mRDtpOdGe2nVpuCLL06JugBAjtGIoQ4XGH7Kxwddzj3X5cc98sILzm9/+WXliQCdQZ6PDyY6fCXgX6GhSPrzn11+3JI2tATI6uR9cLIBOH799p8AEh2++HyyDj34oNPbM5csUV6gtTNwVhcAcPXdQ6sudl9fZC5ZglA3HLDQfZ8gIiIi0icugoiIiEiXDO3pTWEwGEpx7MiX3nSz2+2apyrouC4Aa6OFddHG2jjHumhjbZwT6wKwNqo7tWsRRERERPRHwT+HERERkS5xEURERES6xEUQERER6RIXQURERKRL7WqWGBUVZU9OTtbMVVfqzcrKEnNnV+M+TnVFWKNRXs9J2w0AYWFhmlleXh4qKio021G6WpfsbPmL+1JdXP1ie0pKipirmlHt3r27TPoGflRUlD0pKUlzvNXJtZocuVIb1WObFBfKVc2ZkJAQzSw/P7/TzhlPv5akugDAnj17lHPGk7WRxqvmjKo2qtdTcHCwZtaW/Yz0+Kq65ObmirlZuHK7lAGAr0NDTmekfQAg1wUAdu3a5dE5o3pvkvazDQ0N4lhVbbp37y7mAQEBmllubq44ZwD1vFH926pqI+1PVFeo93ZtgHYugpKTk/Hhhx9q5uXl5eL4OXPmiHlOTo5mpuro7OfQMdiZe++9V8zPPvtszWzq1Kni2OTkZGzYsEEzr3BylWFH119/vZhnZmZqZqoJbFC0Er9PcUmDcePGiXlqaqr4jpOUlIQPPvhAM690ckVzR3/961/F/PDhw5pZbW2tOFb1Zr1kyRIxHzNmjGY2rfmCkFqSk5PFuqjmzLx588Rcqouqo7PqDcmVugBAWlqaOGeSk5Oxfv16zVxVG9WcKSkp0cxU81E1Z5YuXSrmI0eO1MxU+5mUlBRs3LhRMy9zcqV3R7fddpuYFxcXa2b5+fni2C5duoj5I488IuZnnHGGmCclJSnnzEcffaSZS78bAMydO1fMpfefX3/9VRyrqs2LL74o5r1799bMJrehW3VKSopYm8LCQnH8Nc2XwNEi7U8OHjwojlXV5gWN7uvHnXbaaZpZW2oD8M9hREREpFNcBBEREZEucRFEREREusRFEBEREekSF0FERESkS1wEERERkS616xR5lW+++UbM9+zZI+ZDhgzRzFSnj0r9AgCgZ8+eYq7q/+GK7du3i/nu3bvFXKrLeeedJ4719/cXc2/WBQB27Ngh5qraDBo0SDObNGmSOFZ1unOPHj3EXGo/oGpNoPLDDz+I+d69e8VcqovUDgJQ94ZKS0sTc0/PGdXrSXXKcv/+/TWzK664QhyrmjPp6eli7uq8kPrVSKfPA8DXX38t5iNGjNDMLr30UnFsUFCQmKv6J7laF0Cuzfvvvy+O3b9/v5gnJCRoZsuWLRPHqk7Pj46OFnNVXy8Vu90u1uatt94Sx0stWgAgPDxcM3O1NrGx8kXg3XEBeB4JIiIiIl3iIoiIiIh0iYsgIiIi0iUugoiIiEiXuAgiIiIiXeIiiIiIiHSJiyAiIiLSJbf2CTpy5IiYm0wmMR82bJhm1qVLF3HstddeK+YWi0XMpX4FrvawKC8vF3NVL59Ro0ZpZnFxceLYa665RsxVdSkqKhJzV1VUVIi5qjZnnnmmZta1a1dx7NVXXy3mDQ0NYq7qceEKVV18fX3FfPTo0ZqZp+tSUlIi5q6qrKwUc9XrdezYsZrZ6aefLo69+OKLxVwlNzfXpfHS71ZYWCiOVe0rXKnL+eefL+Zms1nMy8rKxNxVWVlZYh4RESHmUm+p3r17i2Ovu+46Ma+pqRHz+vp6zcwdfXJUtYmMjBTzvn37amb9+vUTx6ret6XfvS15W/BIEBEREekSF0FERESkS1wEERERkS5xEURERES6xEUQERER6RIXQURERKRLXAQRERGRLrm1T1BoaKiYNzU1iflrr72mmQ0aNEgcO2nSJDFPTEwUc5vNppm52oshKChIzFX9lZYvX66Zqfp3nH322WLuSl3cISAgQMyrqqrEXKrNwIEDxbFjxowRc2/OGVVdVHPmhRde0MxUr6WzzjpLzBMSEsTc03MmLCxMzFW1eeqppzSzoUOHimNVtUtLSxNzT9amT58+Yl5bWyvm999/v2Z2zjnniGNVdYuNjRVzd/S7kXooqXpj1dXVifm6des0M1UvtQ8//FDMVX3kVO8fKgaDQaxN9+7dxfHS7w7Iva9UPcM+/vhjMVf1JHO1hx/AI0FERESkU1wEERERkS5xEURERES6xEUQERER6RIXQURERKRLXAQRERGRLrn1FPkRI0aI+UMPPSTm0ql2v/zyizh2//79Yh4SEiLmnqSqi3RqKiCfQrlr1y5x7MGDB8U8MjJSzD3Nk7X56aefxLGZmZliHh8fL+aeNHz4cDF/4IEHxNyTdYmLixNzTxs1apSYP/7442KenZ2tmalqc+DAATH3Zm1Gjx4t5vfdd5+YZ2VlaWZ79+4Vx6pyVdsFTzvzzDPFXHWa+L59+zSzN954Qxx76NAhMVedvm+xWMTcVRMmTBDzHj16iLn03vzqq6+KY1XvT3379hXz6upqMW8LHgkiIiIiXeIiiIiIiHSJiyAiIiLSJS6CiIiISJe4CCIiIiJd4iKIiIiIdImLICIiItIlt/YJio2NFfObbrpJzB988EHNbNu2beLYoKAgMffz8xPzo0ePirkrunTpIuZ33XWXmEv9lX788UdxrI+P/E/s7+8v5p6m6qty5513ivnDDz+sme3cuVMcazAYxDwgIEDMPcmTdfn555/FsUaj/NnI23MmOjpazFX7mUcffVQz27Nnjzg2NDRUzO12u5i7Snp8VS+0OXPmiLnU0+WVV14RxzY0NIi52WwWc3eQaqPaB5933nlivmzZMs1M9XqpqakRc9V+RjVexW63i7VJTEwUx0+ZMkXMn376ac1MNSdVv5tqH+0OPBJEREREusRFEBEREekSF0FERESkS1wEERERkS5xEURERES6xEUQERER6RIXQURERKRLbu0TVF9fL+br168X882bN2tmwcHB4tiMjAwxLy4uFnOpH4GrvT9UPYjefvttMV+9erVmpup/lJaWJuaFhYVibrVaxdxVqtq88cYbYr5q1SrNTNU7qk+fPmJeUFAg5k1NTZqZp+fM66+/LuZSXVS9O1SvJVVdPN0TprKyUszXrVsn5itXrtTMVP9uPXv2FPPS0lIxl7g6Z1S9elT7meeee04z8/X1FcdOnDhRzDMzM8U8MDBQzF2l6pcm9QECgAceeEAzU/XN6t27t5hnZ2eLeVhYmGbmjr5Uqj5Hqtrcd999mpmqB9KAAQPE/PDhw2Iu9e1qa214JIiIiIh0iYsgIiIi0iUugoiIiEiXuAgiIiIiXXLrF6M7s9gFCxC8dSus0dHI3bix5fb4m2+Gb/OXr4zV1bCFhSF/wwZvbaZXxMyfj6DPPoM1Ohr5mza13O63bx+i77kHhsZG2H18UHrffWhUfJHtjyR6/nwENc+Zgo8/brndd98+RC9aBENtLcxJSSh8/HHYFF82/iMxFRQg9s47YSorAwwG1FxyCaqbL85pPHIESTfeCN/8/GO1eeop2MLDvbzFHcensBBxd90Fn7Iy2A0GVM+ciaqrrgIABG/ciKhly+B36BDy1qxB4+mne3djO5BPYSGSFi6ET3k57AYDjlx8MSquuAIAEPf44wj74gvA1xfmbt1Q9uijsAlfBv6j8S0qQtdFi+BTUQEAKJ8+HWWXXQYA6PLcc4j8739hNxphi45G6WOPwRof783N7TDG/Hx0v/56+JSXAwYDKqZPR/nll7e6T9hLLyFq6VLk/PADbFFRJ/c87tjYU0HNhReiwMmVkIuXLUPe+vXI37ABR6dMwdHJk72wdd5Ve9FFKHJyBemoRx5BxU03IXf9elTccgtihKtv/xHVTp+O4hUrfnd7zMKFqJw/H1nr16PmnHMQ+e9/d/zGeZOPDyr+9jfkb96MgjVrELZyJXwPHAAAhC9fjrqRI5G1eTPqRo5E1IsvenljO5bdZEL5woXI2bQJee+8g/A33mipTVPPnih67jk0nHGGl7fSC3x8UDx/Pg6tX4+sVasQuWoV/A4eBAAcHTkS+Zs2IX/jRphTUxH+/PNe3tiOZTeZUHDHHfj1vfdwYOVKxLz1FvwPHQIAlFx5JfI3bkTBhx+ibsIERCjO1PpD8fFB4R134MDatTj0+uuIdqgLcGzxGPjll7AkJrr0NJ1uEZTQ2Ig1+/ZhUU4O3tm/H88dPAh/m83lx20YNgy2iAjtO9jtCPnwQ9ROneryc3lKktmMTdnZeLCkBB/l5ODV/HwEuOEUSa3a2A0GGGtrAQDGmhpY4uJcfi5PcFYXd8yZxuHDndbF9/BhNA4fDgCoGzUKoUJrB29LMpuxMSsLDxYX48PsbLzihjljjYtDU79+AAB7SAiaevSAqagIABC0ZQuq//IXAED1X/6CkE8+ce0X8KAksxkfZWXhgaIibMjKwr/z8txSm8a+fQE01yY9HT7N7TnMPXrArGhZ0Rl4oi6W2Fg0nHYaAMAWHIymtDT4lpQAAI6OHg00n8LeOGgQfJrnUmeUYrXi68pKPFFTgy8rK/F2VZVbalPf3K7DFhyMBofaOB5hNtTVAUIrF29KsVqxrboaT9XV4ZvqaqyprXW5Lrb4+FZzprF795a6AEDCo4+iYsECl2vi1j+HSX1TAGDhwoVinp2djQoAKQAuaGzETgBvNTQgfedOzD7h00HP7dsx0GEHGzF+PADA2r07apwc1SgsLIR/SQliLBanvXESDhxAU1QUquLigBN6tNhcfENV9U2RelAAQFZWFoBjfQ+6Wa2YabNhp8GAN81mrLzsMhwaObLV/dO2bcPpzX/WCj/vvJbbndVm//79AAD/wkJEmc3Iy8trycrnzkX/+fMR9fDDgM2GAytWwNy8KHIXVW0efvhhMc/Ly4PBbkc3sxmX2O3YZTTijcZGDM3Oxph//avVfdO3bcPpDn/WCjv3XACANTUVR15++XePfeDAAQQUFSGiqalVn5PIlBRUr1wJ85/+hLh16+BTWIjaE+ri6pyxWCxi/qjiqFxOTg4AtNRmFoBdRiNeb2jAy+ee+7s541ibsClTWm63pqai6oQjXQeaj2wAQEBRERJ27cKBqChYs7KQXFKCqqAgoLYWCAxEt7Ky39XGVareVaq+Jsd7+fhbrejW1ISr/PywJygIrxw9ircvuwyZo0a1un/at9+iX/Of0MMd+uHY0tJQ99prre57yOGTqn9hIVL27EFeUhKszTvv0NBQWG02NDY2/q6vWlvmjNTPTDVnnlccYamqqgIAhDXX5bqQEOyNjMSLR45g3ezZyG/exx6X9PnnSH//fQCA/4gR/wvS02F/551W93Xs0xZQVIS0vXuR3aULrM23x8bGAgCiV69G5eTJyj5Zzki1Uc0Z1evpeC8gP4sFaVYrboyKwkI/P7xQUYH3L78chWef3er+XbZuRWpzDUIdP1g7qU1+fn7Lf/sVFCBg/35U9uoFa3Pfp6Tnn0f4Bx/AGhKCnBUrWm4H2tYLx2AwiLVRvW8/+OCDYu7r6wtfoxHpNhvmBQfjLh8fvFRdjQtsNkw9Yd+R+NlnSFuzpuXnsEmTjv1Hjx7Au+/+7rGPv/f5FRTAf/9+lPfoAVt9PSK++AL1UVGoTU9HnN2OpqYmWBsbW41t6z64U34n6DCAnc3//QOAVCf3OTBsGA4MG9by88UXX+zSc0Zs3Iiq5jfFzuwwgJ3NE/pHgwEXlZX97j6ZI0Ygs3mnNG3atJN+roR165B/xx2omjgREZs3o+uSJTh0wsKis8jCsTd54Fhdujm5z6ERI3DIYWf9pz/96aSea/9dd6HXs8/Cf9UqVJ11FuyKRnLelmUwtNTmJ4MBF5aX/+4+jrWZ2sajoab6evS7914cuOEGWJ01MzUYOu0n1+OyjUbsaT4KsdNkwjRnr6eRI5HZvGi84IIL2vS4xro69L7nHhy++Wbntenkckwm7G2e17t8fdHL4RP4cfnjxiF/3DgAbX8tSXMm9sUXAZMJVZ34aDwA5JpM2NfcpHa3ry8ynDTiLZowAUUTJgBQN5I8zlhXh14LFyL71ltb1ab01ltReuutiH7xRUS+8QbKbrrJDb+F++WYTC2vpV0+PkhxsvAsGD8eBQ6L6fMcPqRrMdbVoeeCBci57TbYQkJgbGhA4n/+g1+XLYM7vonZKRdBjus5KwBnvUR/dySoudup1pEgkcWCsE8/xUGhM3NncWJtjE5Wu62OBD3xxP/u387axG/ahD333AMAOHLOOUi5//6T2uaO0OjwZmsD4OPkE9LvjgQ9+SQA7SNBWuq6dsXPjz6K8PBw+GdnI/yrr05+wzvAiXPG4GTn1OpIUHNdAOdHggDAYLGg3733onjiRJSddVbL7ebISPiUlsISG3vs/0/yy4odxfEzsObryeFIUMg//9lyu7MjQcCx2vS+5x6UTpqEiuZFwqnmxLo4mzOOR4IMf//7/wInRzsA7TkDABFr1yL0iy9w+OWXO/3C2XFfYwVgdFIbxyNBBseuxkJtei5ciLLJk1F5whG346qmTkXKX//aaRdBJ+5nnPWKPvFIEI5/AV7jSJDBYkHPBQtQPmVKS1388/LgX1CAfpdfDqPBAJ/iYnS78EJkv/02rM1HFNujUy6C2sKdR4IifvgBjd27w9Klizs2zevcdSSoKToaIT/8gNqhQxGyfTsau3Z11yZ6hbuOBPlWVsIcGQnYbEj4979ROn26uzbRa9p1JMhuR8Zjj+Fo167IPeF1VzZqFKI3bEDxnDmI3rABVWPHemqTO0y7jgTZ7Uh/+GHUd+uGwksu6YCt8552HQkS5kzU9u2IefVVHH71Vdg9fPmMjtKuI0F2O7o/9BDqU1NRdOmlrSL/nByg+ft3oVu3oukU+E6ZpF1Hgux2dH/wwd/Vpb5HD/x0/EN+eDjSJkxA9po1sEZGntQ2nbKLoPbqfd99CP/pJ/hUVeGMCy9EztVXo7h5Zx/7ySenxJ/CPKX3kiWIaK7NsOnTkT1nDoqnTsWB+fPR84knYLBYYPP3R+6iRd7e1A7V98EHEbFzJ3yrqjBq5kwcvvJKFJ53HuK3bkXyunUwmkw4Mn48yl1YaJ6KwvfsQZctW1Cbloahc+cCADKvuQYVI0Yge9YsDFi6FNHr1qEpIQGHH3nEy1vbsUJ37ULcpk04mp6OAVdeCQDIvv56HBk1ClFffIH0p56CqbIS3f7v/9CQkYGs5cu9vMUdQ5ozPZctg8lqRep11wEA6vv3R8Hixd7c3A4VsnMnYjduRF16Ovo1tw3InTcPVaNGoevzzyMoLw8wGmFOTETRvfd6eWs70NdfI2bjRtT16IG+zafG582bh6rRo936NJ1uEZQNwLF7xvGDz66eNPmrcJG3A/fcg/BToJdJtsGAQQ4XAnzSaETGn//s8uP+qvHCqu7fH7+9+abLj+9p2QYDBjt8L+dJkwmA63Nmr8aiL2/6dORNn37KzJkhDhfZfcrHBz1dnDNVp5+Oz7ZudZpZwsNx8BR5Y881mTDKoR/NswEBSG8+s+1k1QwYgG++/tppVjF2LMyd/PsuwLG6jIuJafn5heBgDD7hCEV7SXPmu9dfb/lidGeX5+ODiQ59ev4VGorhzQuXk1U7cCC+27bNaXbgkUfEC6h2FrkmE8Y6/On7+eaLV69w5UHPPBPbv/tOebdMjXnVVp3uFHkiIiKijsBFEBEREemSoS19BlrubDCU4thfrPSmm91u1zxeq+O6AKyNFtZFG2vjHOuijbVxTqwLwNqo7tSuRRARERHRHwX/HEZERES6xEUQERER6RIXQURERKRLXAQRERGRLrWrWWJUVJQ9KSlJM1ddxTg3N1fMpau+nnjF5RMFBDi7Usn/pKSknPT4vLw8VFRUaF7QJioqyi49vupK6cevlKtF+vJ6g8MVhZ3xc2iU50y3bs4uNfo/gYo29rt27SqTvoHvam2ys+WTGqQ5o6qNr+LCp6mpqWIu1SYvLw/l5eUemzOerIurcyaouVGalp07d56yc0ZVm66KS8sECxdTzc3NFedMdHS0R/czp/Kc6cy1OX4Fei2qOSPVRjVnAHVtVFeRP1X3NW2pDdDORVBSUhI++OADzbyoqEgcf9ttt4l5Y2OjZvbzzz+LY9PT08X88ccfF/M+ffpoZueff744NiUlBRubL7DoTGFhoTj+2muvFXNpcblv3z5xbBfF9dCeeeYZMR84cKDq8cVXSEpKCjY1X+fFmYKCAvHxr2tupa9FWhzv379fHBvv0PnVGVdqM2nSJHFsSkoKPna4mOuJVHWZ23zpAS3Sa2nv3r3i2ISEBDF/rvlixVoGDBgg5vHx8co540ptrr/+ejGvra3VzH755RdxrKo2y5YtE/MhQ4ZoZm2ZM1u2bNHMVXVR7WekN6w9e/aIY6UPxwDw7LPPirlUFwCIiYlRzhlXanP11VeLubRQUNVG9QHcldqcffbZ4tjjz79582bNPCcnRxw/b948MXfl9aSaN6rX09ChQzUz5TXbmvHPYURERKRLXAQRERGRLnERRERERLrERRARERHpEhdBREREpEvtOjtMRTpzDFCfhiid7qv43UsAACAASURBVPbwww+LY0NCQsRcdSaQJ6+h9s4774i56hv00qnYCxcuFMeqzg5TnZ7pDlJt33zzTXHsrl27xDwsLEwzW7x4sThWdaaP6vRMV0l1WbVqlTh29+7dYh4dHa2Z3XvvveJY1ZxJTk4Wc3eQarN69WpxrOpsHak2qjmjer2o2ip4kmrOuFKX+++/Xxyr+r09/VpSUdVGdZZtTEyMZqaqjWrOqHKDQXmWt8hut4uvp1deeUUcn5mZKebS2cuq9+3ExEQx79Gjh5i7A48EERERkS5xEURERES6xEUQERER6RIXQURERKRLXAQRERGRLnERRERERLrERRARERHpklv7BFVUVIh5RESEmJ922mma2YQJE8SxaWlpYi71MgDkq5G72kNIdQVjVY8N6Qr3s2fPFseqrmBsNMrr4MrKSjF3VWFhoZir+kT06tVLM5s5c6Y4VjVnTCaTmJeXl4u5K4qKisRcte29e/fWzFyti6pviTvmjPQceXl54lhV35WMjAzN7JJLLhHHqvrd+Pn5iblqH+kK1X5Gte3S/lc1Z1RXA5d6wAGerQsA5Ofni7lqzkj74FmzZoljVbUJCAgQc0/Xprq6Wsyl/lEAMGjQIM1s2rRp4lhVbcLDw8W8tLRUzNuCR4KIiIhIl7gIIiIiIl3iIoiIiIh0iYsgIiIi0iUugoiIiEiXuAgiIiIiXeIiiIiIiHTJrX2CkpOTxfzIkSNi/tVXX2lmc+fOFceuXr1azENCQsTck1T9OTZs2CDmv/zyi2b222+/iWPfffddMY+Pjxdzm80m5q5KT08X848//ljMpdpkZWWJY9944w0xT0xMFHNX+0dJXK3LBx98oJnl5OSIY998800x92ZdAHXvqE8++UTMpdrk5uaKY1VzRrUPlF5PrtZNNWe2bNki5u+//75mpurNpJozqn5lnt7PqObMp59+Kubr16/XzFSvp3feeUfMXZkzbWEwGMS+W8OGDRPHf/jhh2L+3nvvaWYHDhw46bGA+jXhjn0NjwQRERGRLnERRERERLrERRARERHpEhdBREREpEtcBBEREZEucRFEREREuuTWU+SHDx8u5hEREWJ+9OhRzey5554TxwYHB4t5VFSUmJeUlIi5K8aMGSPmCQkJYt7U1KSZ3XfffeLY8PBwMVe1DqivrxfztpBOzxw3bpw4Ni4uTsylUyQXLVokjo2MjBRz1XwtLi4WcxWpLmeddZY4NiYm5qSfd8GCBWIeFhYm5qo55Y45Ixk/fryYu/J6uueee8Sxqt89MDBQzKV9nKvGjh0r5qrXksVi0cxUr6XQ0FAx9/PzE3NPU82Z6OhoMZf2M4sXLxbHqvaxJpNJzD1t5MiRYv7QQw+d9GOr9jW+vr5irpo30mu5rXgkiIiIiHSJiyAiIiLSJS6CiIiISJe4CCIiIiJd4iKIiIiIdImLICIiItIlLoKIiIhIl9rdJ0jql6DqXTJkyBAxf/PNNzWzgIAAcezevXvFvG/fvmIu/V6uUvWgOOOMM8R81apVmpnUawYADh06JOY+Pm5tFeWUVNvY2Fhx7OzZs8V89erVJ/W8AJCbmyvm/v7+Yu7qnHGlLpdddpmYv/vuu5qZqjdHYWGhmHu6LqrHUO1nZs6cKeZr167VzFSvh4KCAjFX9TXx5JxR7WdUr6U1a9ZoZqr9TH5+vpir5pw7uDJnrr76ajGXamO1WsWxeXl5Yu7p2tjtdrE2qh57l156qZhv2LBBfG6JqteaqseS9Phtfa3xSBARERHpEhdBREREpEtcBBEREZEucRFEREREusRFEBEREekSF0FERESkS1wEERERkS61u0mM1C9C1WND6icAAM8//7xmpupl0L17dzHPzMwU88TERM3M1d4egYGBYr5p0yYxf+yxxzQz1e8dHx8v5qpeOap+Na5S9VVZt26dmD/yyCOaWa9evcSxUVFRYp6VlSXmXbp00cxcnTOquqjmzIMPPqiZpaWliWNDQ0PFXDVn4uLixLwtpP2Mqq/KRx99JOZLlizRzHr27CmOVfUtUfXLUfWrUZHqopoz69evF/NFixZpZr179xbHRkREiHlRUZGYq3octYUr700ffPCBmP/tb3/TzFQ96CIjI8W8pKTkpMe7oyeX0SgfC9m8ebOYS7UZMGCAOFa1rykrKxNz1bqgLXgkiIiIiHSJiyAiIiLSJS6CiIiISJe4CCIiIiJd8vzVMzsBn8JCDLj9dvhVVgIACqZORf5FFwEAUlesQMKHH8Le/IXF8ttvx9GxY722rR3Nt6gIqYsXw6eiAjAYUHbBBSh1uGBeyKuvIuS11wCjEfUTJqDqnnu8uLUdx6ewEL3uuAO+FRUAgNILLkDJrFkAgLSFCxGQnQ0fX18Yq6thCwtDyccfe3NzO5RvURG6LV4Mn/JywGBA+YUXtsyZwF9/Rew11wCNjYCPD4489BDMgwZ5eYs7jm9REbouWnTs9QSgfPp0lDVf7Dbg118Re/XVMBw9CktKCiqfeQZ2xRdD/ygMjY1InT0bhqYmwGpFzaRJKL3xRgCA8cgRRMybB1NuLqwpKah68UXYFV+0/iMxNDai6xVXwNDUBIPFgprJk1F2000AgNBNmxD9wgswHTiAio0bYRk40Mtb23EMjY1IuuyylrrUTpmCyltvBQBEP/IIgrZuhcHfH9Zu3VD11FOwh4ef1PPoYhFkN5lwaN481PbqBVNdHYZcfz0qhw5FXWoqACDvootgve02726kl9hNJuTddhvq+/SB8ehRZFx+OWpGjEBDWhpCvv8egZs3o2jTJsDfH0bFN/X/SOwmE/JuvRV1GRkwHj2K02bPRvXw4WhIS0Pmww8DOHZ2WPj998MWFublre1YdpMJ+Q5zpvdll7XMmcSnn0b1bbehccIE+H/6KcIfeghlwhXt/2jsJhMK7rijpTa9Zs1CzYgRaExPR8qSJahasgRNI0ciaPVqhCxfjpq77vL2JncIu58fsl55BfbgYMBsRvcrrkDtmDGoHzAAMS+/jKYxY1B3000IeuYZBD/zDGr//ndvb3KHsfv5IefVV1tq0+3yy1E7ZgwaBg5EY8+eOPLKKwjTyTxxZPfzQ8HKlS11SbrkEtSNHYvGQYNQN3o0yu+8E8Hh4Qh58MFjc0Y4u1HS6f4cltjUhA2Zmbi/sBDrMzPxck4O/G02lx7TGheH2ubTpa1BQajr2hX+p+AbepLZjC35+Xi4rAwf5+fjtaIil2tjiY1FfZ8+AABbcDAauneHb/Mpm7HvvovqG24A/P2P5S6e3uspnqiLNS4OdRkZAI7VpT41FX6lpa3vZLcjcMMG1P/5zy49lyclWyz4tKAAj5SXY0thIVaWlHh0zgCAsbb22P/X1MCqaNHgTR1Sm7S0ltr45+SgacQIAEDjWWchUHEqv7ckWyz4tLAQ/6iowCeFhXjdDXWBwXDszQyAwWIBLBag+ZT20M8+Q8OMGQCAhhkz4K9o/+BNyRYLthYV4R+VlfikqAhvlJa6vTYGs7mlNk3p6bD26OHqZntcR8wZx7rUjxkDNLc9MA8eDFNBwUk/jVuPBNXX14v5vffeK+ZBQUEwGAzo1tSEu5KScG9AAJ7Iy8Pk2lpMfuGFVveN/+QTdH377ZafQy+55Nh/9OgBOPnkWVdXBwDwKyhA2KFDyBs2DGEhIfD390fU2rXA1q1o6NcPJXffDdtJHlbT0tjYKOa33367mJtMJgCAxWJBqtmMGyIicGd4OF6oqMDL556L4nPOaXV/x9qEXnzx/wIntTl06FDLf/vk5SH4t99QMWoUwkNDEZSfj4bt2xH+2GOw+/vjyD33oEnR98EZqX+Has4sWLBAzI1Go9O6TKqpwQUrVrS6b/wnnyDlrbdafg5t3vFqzZnj/XBMubkIPXgQR8ePR6DDny/8t2+HLTYW1rQ0nPgbSr9zW+6jqstdik+Gx3t/2O12pFosuDE6Gnf7+eH5sjL8+7zzUDJpUqv7x23ZgpTVqwEAITNn/i9wUpu8vLyW/zbl5iLkwAEcHTcOAaGhqFu6FDGXX47wBx4A7HaUrVvXplq0R0NDg5i3Zc4A2rUpnTy51f1jN29G0qpVAICQ4/sZoE21Cf7tN9SOHQv/0FBYevdGwMcfo2HKFARu2ODSjtsZ1X7mzjvvFPPj/ZeMNhu6Wyy4JTYWf/P3x7MlJXhpyhS5Lhde+L/ASV2Ki4sBqxVRkybBdPgw6ufMQdD48QgC4FtRAXuXLjAAsMfHw1ha6vY542pt/Js/CPoaDOhuseC2+Hj83d8fy4qLsfz/27vz6CiqtA3gT/WWQIAE2QWSsKggW2Ai+6YCg+wwOH4CCgEBFRQUUBxHQUEBHRFcRgVHQR0ZVFZFkEUIIKIsBhQFlB2BkADZ116+P6qTdELXvUl6DfX8zuFA+q2qrjzcrr59q+tWnz5IKvF6qrV5MxoUvJ4k2Vy+fBmw2VC9d281m7FjC7MppChQnH+KP1y644wnx5opU6YI6+Hh4aiUn49GVitm1K+PF0JD8fqFCxhis6F/ifnKam/ZgkiXY3BYwftTkyawu7yfF0i6dAk1/vpXGE+dQlZcHExduhTrtNjtdlRasQLZgwbBXs5OV1CeDvvTbMbR0FAAwJHQUNycn3/dMom9eiGxV6/Cn++66y7pdg1ZWWg8YwbOT58Ou3PSs6Thw3HxoYcQVqUKai5ejNoLFuDSyy976TfxvnNGI351Tor2s9mMFomJ1y3jmk1pcgEAJTMTdSdNwpV//rPwewqK1QpDSgoS166F5dAh1Hz0UVzYvbuwNx5MSubSwGq9bpmSbebOO++UblfJzETNiRORMmvWdd/fqLRuXVCPAhU4ZzIVZWOxoIWbiesu9+6Ny87OdI9SfidOycxEjYkTkTJ7dmE2YR9/jLTZs5HTvz9C169HxLRpuOJy0As2JbNp5SabJJc3ua5du5Zqu+6yufavfyFi1ixUXbwYOb17A5JJHwPpnMmE35xv/D+HhKClN3IxGnF12zYoqamIiIuD8bffYHOOmhVSlKA8vrg675LNLyEhaHHx4nXLuGbTrVs3+UaNRlz79lsoqakIHzPGfTZB7rzr+3ZICOq7OQa7HmeAUmRjNOLK1q1qmxk7FqajR2F1jtADQJXFi+EwmZDt2tEso6DsBOW5zGBpVxSY3PTwSo4EoWAmV41P9cjPR+MZM3D1nnuQ4tIxsBbMVGowIOXee9HgkUe88jv4Sq7LAcIGQLHZrlumWDauM9wKsqk7aRLSBw1CpsunPWvdusjq2xdQFOTFxMBhMMBw9SrsXpjd1dtK5hLqZpmSI0GlaTM1Jk5E5tChyL7nnuI1qxWVNm7E5SA9peEqz+XfWm3GdSSotG2mxoQJyBoyBDku2YR98QUuzZkDAMgZOBARQf5dhtJk4zriAdcZasuYjbVpU1z59FMAgOnkSYRu2+aF38A38lxeT3Z4KRcnR3g48rp0Qcj27chq3hz2WrVgSEyEvU4d9e8gPe1eoLTZFIwElTmbrl1h2b698LRqRVEsF4337ZIjQYaCY43GSFCBgjZj2b69sBNUaeVKhG7diiuffeZRxzkoO0GlUaaRIIcDUXPmIKdRI1weNapYyZSUBKvz1hBVt25FrmTa/IqgTCNBDgdqP/MM8po2Req4ccVKmb17I/T775HbuTNMJ09Cyc+HXXKriWBWppEghwM3zZgBa9OmyBg//rpy6O7dsDZpArvgdisVSZlGghwOVJ8xA/m33IKMCROKlWx16sDy/ffI69wZlt27YZXc1qUiKNOIhyAbQ3IyHLVqAXY7qi5ejMwHHvDVLvtFWXJRkpMBs1m9gic7G5adO5E5aRIAILdPH4SuXImsxx9H6MqVyO3b1+f77mtlGQm6Lpv4eGQ5r5y70ZRpJCgpCUpqamEuIfHxyHTmYvn2W4S9/TaSV62CQ3JbKpkK2wkqk+++Q40NG5DdtCmaOS9zvjBpEtK6dkX9N95A5WPHYDAakV+/Pi4J7it0Iwo9cABV165F7m23ocHAgQCAq9OmIatnT6QNH466//gH6jqH7q+89lrQD1V7zXffIWz1auQ1a4Y6zoNy6lNPIcfZqay8fj2yhgwJ5B4GjGXfPoStWoW8Zs1Q2zlymPb008i56y5cW7AAEbNnQ7Fa4QgNReorrwR4b/1LlE3ldetQZflyAED2Pfcgy/W7Vzc44+XLqPb444DNBsVuR86gQchzdhIyH3sMERMmIPTTT2Fv0ACpS5cGeG/9y5CYiGqPP66OKNntyBk8uDAby9dfo+o//gHDlSuIGDkS+S1bIjWITy971cWLuOnBB4GCXAYNQq6zA1Xt2Weh5OWhhvM7ennt2iF1wYJyPU3QdYIuWCwY7HKDxw+dp17e8mSjXbvi4IEDbktnnEP33rgRm6+dN5nQy+Vqm/eqVkWX0aM92mZObCxO/PGH+6LFgiuLF3u0fX9wlwsAfOzJRrt2xbmzZzXLVxculN54MBicN5nQu169wp+XVKuGbnFxHm0zr317nNe4iWpe+/ZIDuKre1y5y6bn2LEebVOUTca4cch86CGPtu8Pf5rN6Fu/fuHPS8PD0d3DXKy3346rW7e6rTluugkpq1Z5tH1/+dNsxj0NGxb+/H5EBLp6mI2tRQtc0zg1mtevH6706+fR9v3hT7MZg1xGfT9wnjF415ONtm6NK1u2uC0lf/89AJT7y9Cugv8oTkREROQD7AQRERGRLikOh6P0CytKEoAzvtudoBXlcDhqaRV1nAvAbLQwF23Mxj3moo3ZuCfMBWA2soXK1AkiIiIiulHwdBgRERHpEjtBREREpEvsBBEREZEusRNEREREusROEBEREelSmWaMrlGjhqOhy2yZJeXl5WnWAODMGfFVejY3N6IrkJubK1zX4rwTtJaoqChhvXLlypq1c+fO4cqVK5r3i7jpppt8motoVkxZLmbJnao9yQUADh8+nCy6DNHTNnP69GlhXXR1Y05OjnBdWTbR0dHCumiW8bNnzwrbTI0aNRyRkZGa68tyOXnypLCuCG5vkp2dLVzXaDQK67feequwHhrq7va1RX766Sdpm/FlNqKZvrOysoTr+jKbs2fPIjk5WfM/rmbNmj7NRfS7ZWRklHtdALhFck9G2XHm4MGDwjbj62xEZMcZmeaSG6WK2syZM2eEbQaQZyN7D5Edg0VkxxoZX2cDlLET1LBhQ2zevFmzflZwmwEAmDhxorCemZmpWTt27Jhw3ZslN7J84403hPXY2FjNWi+Xm26607BhQ2wS3CrgnMY0+gUmlLjRYkmiA/Pvv/8uXLd27drC+sKFC4X19u3bC+t169YV9uAaNmyIrRrT5QPybOIkt3gQvYCPHj0qXLeOy6023Hn77beFdVGbkd24NjIyEvHx8Zp1Wcd4xIgRwrqog/fTTz8J1w0PDxfWP/roI2H99ttvF9bDwsKEv1xkZCS2b9+uWZcdZ0aOHCmsiz4wHTx4ULhutWrVhHVZNqKDuuxGm5GRkdi9e7dmXfZmJculqvN2M+7s2rVLuG6VgruBa1juvGealpiYGGE9JCRE2mY8yWZUiRtrlyT6sPXrr78K1xV9IAGAFStWCOui11OHDh2E6wJqNqL/P1kHcMyYMcK6yaTdjZAda2TZrJTcJ62Z847y7pQmG4Cnw4iIiEin2AkiIiIiXWIniIiIiHSJnSAiIiLSJXaCiIiISJfKdHWYw+EQfkv+gw8+EK4vu6pDdKXPvHnzhOvKrg6TXaLpKU9y8WTqgDlz5gjXFV2eDoi/XQ/Iv73vqU8++URY/+OPP4R1UTYLFiwQriubHkB2ubOnRG1m2bJlwnVluYiuDpPlInut1K9fX1j39U2ZZVcaeZLN/PnzhevK2oTsOCSa7qI0RNn++9//Fq4ru1pSdFXgiy++KFxXdiVOq1athHVvtBnRNt58803hurIrvCIiIjRrM2fOFK7bvXt3YV32ehMd40pLlI3sCmFZNqIrA5955hnhurJsRJf2A4DVahXWS4MjQURERKRL7AQRERGRLrETRERERLrEThARERHpEjtBREREpEvsBBEREZEusRNEREREulSmeYIURRHOG5OSkiJcX3YH5jvuuEOzNmjQIOG6DRo08Oi5k5OThXUZUS7Xrl0TriuagwIA2rVrp1kbPHiwcF3ZvCU1atQQ1hMTE4V1T128eFFYj46OFtZF848MHDhQuG69evWEddn/y9WrVzVrns57Isu9SZMmwvptt92mWZO9lpo2bSqsy2RnZ3u0voyszTRq1EhYF82NJWszstxlcnJyNGulaTOi40xeXp5wXdn/a+PGjTVrDz30kHBd0R3oAaBSpUrCelZWlrBeGqJsZPPJyObqEbWpSZMmCdeV/e4Gg3gsQjRPUGmPM6JsZPsnez2J5s6aOHGicF3R3FSA+A71gPj/tbTZcCSIiIiIdImdICIiItIldoKIiIhIl9gJIiIiIl1iJ4iIiIh0iZ0gIiIi0iV2goiIiEiXyjRPkEyHDh2E9U2bNgnrn3/+uWbt+PHjwnXXrFkjrIvmWgAAu90urHtClsvmzZuF9dWrV2vWTp48KVz3iy++ENbz8/OFdU/nu5Fp06aNsP7VV18J60eOHNGsHTt2zKNty+YW8ZRo7o727dsL1/3000+FdVG7OHHihHBdWS433XSTsO7rNiN7Pa1cuVJYP3XqlGZN9nr68ssvhfVAZtO6dWthfenSpcL6uXPnNGvdu3cXrvvzzz8L61euXBHWZXPVeEo0Bx0AvP/++8K6KJtOnToJ1/3111+FddHcUQBgNpuFdU/J2s0777wjrIuy6dmzp3DdgwcPCuuy921v4EgQERER6RI7QURERKRL7AQRERGRLrETRERERLrEThARERHpEjtBREREpEtevUS+c+fOwvrcuXPLve2ZM2cK6yaT+FeRXYIpu1TcE126dBHWX3jhBWHdYNDuq06bNk24ruz3DgsLE9YzMjKEdU/1799fWPfkkuMpU6YI1xXlCsizyczMFNY9MWzYMGG9WrVqwrro/2369OnCdatXry6sG41GYd3XUwt4mo3o/02WTXh4uLAua1O+NHToUGFdtu+iXGbMmCFcNzc3V1iPiIjwaH1P9enTR1hftmyZsC66jF12DM7LyxPWZcdoX7+eevToIax/9NFHwrqo3Tz55JPl2qcCsqlrRNOMlBZHgoiIiEiX2AkiIiIiXWIniIiIiHSJnSAiIiLSJXaCiIiISJfYCSIiIiJdYieIiIiIdKlM8wQ5HA7hvCyyeVXuv/9+YX3jxo3C5xZJTEwU1qtUqSKsi7Yve27ZMlWrVhWuO2LECGH966+/1qxZLBbhumfOnBHWb7nlFmG9NL+7J2RzlwwePFhY37p1q2ZNNp/NuXPnhHVZtp4SZSubG2TAgAHC+p49ezRrsrk1fvvtN2G9cePGwrosd0/JspHNPeVJNseOHRPWZdn4ch4h2XwzgwYNEtZ37typWZPNdXPy5ElhvW3btsK6N4heT7K5o4YPHy6sb9myRbNms9mE68raTLt27YR1X85hBwCRkZHC+s033yysx8fHa9Zk2Rw5ckRY79Chg7DujXnsOBJEREREusROEBEREekSO0FERESkS+wEERERkS6xE0RERES6xE4QERER6RI7QURERKRLZZonSEY2B4ZoThcAePrppzVrrVq1Eq4rmwfiypUrwrpsjiNPyOYekeXy1FNPadZuv/124bq1atUS1lNSUoR12dwjnpLNI7Fr1y5hffr06Zq1li1bCtetW7eusJ6VlSWsh4SECOuekOWyd+9eYX306NGatZiYGOG6UVFRwrps7ihZey8NT+ZQ+vHHH4X1uLg4zZpsPhvZnCqybDydJ0i0fVl7/emnn4T1Bx98ULMmm8umSZMmwvrly5eF9YiICGHdU7J5jkRz3QDAxIkTNWuy40zz5s2F9atXrwrronnmvPFak72eZO9P48eP16zJjjWy7JKSkoR10ft+abPhSBARERHpEjtBREREpEvsBBEREZEusRNEREREuuTVL0YHKyU3FzePGAElLw+KzYbMvn1xbepUAED1hQtReetWGEwm2GvWRNrixbBLvjB7I1Fyc1HfmQ2sVmT27YurU6YUW6bKe+8hfM4cXDx8GPabbgrQnvpZTg5q33sv4Gwz2f36IW3aNABAtYULEfbpp3DUrAkAyHz2WeT16hXIvfWvnByEDxwIONtM3sCByJ45s7Bsfu89WJYuBYxGWPv0Qe6cOQHcWT/LyUH4oEGFr6e8gQOR5bzgo+pDD8F04gQAQElNhSM8HBm7dwdyb/0nJwfVBw8ufD3lDhiATOcFH6ZffoHpmWeAnBzAZILtjTfguOOOAO+wHwnajPGXX2CeORPIyIAjKgrWZcsAyUVANxybDRG9e8Nerx7S/vtfAIBy7RqqjR8P059/AlFRyP/vf4Hq1cu1eV10ghwWCy5+8gkcYWFAfj5uvu8+ZPXogdy2bZEyfjyuPfkkwsLCUOn99xG2cCHSX3kl0LvsNw6LBX9+9FFhNg3+7/+Q2b07cp1XyRgvXEDIzp2w1q8f4D31s5AQJK1cWZhL7WHDkHPnnchzXiWT/tBDyC/RWdSNkBCkrlkDVKkC5OejWv/+yO/VC9bYWJh27YJ5wwZkfvcdEBICRXJ1xw0nJASpq1cXZhM+YABMd98Na2ws0t9/H2azGQAQ+uyzcOjpzSwkBCmrVxe+nqoPHIjcu+6CNTYWVV58EbZnn4Wjb18oGzfC+I9/wCq4a/sNR9BmqjzxBKyvvAJH9+4wLFsG48KFsM2eHeg99qtKS5bAduutUNLTCx+r/MYbyOveHY5//hPGV1+F8V//gu2ll8q1/aA7HdbAasW3ly5hwbVr2HrpEv6blIRQyWWnUoqivvgAKFYrFKsVcF4+53C5/FCRXGIaaA1tNuxMTsa/0tIQn5yM/127hhC73bONlsgGLtkAQPjs01qsCgAAIABJREFU2Uh99tlijwWbBlYr4i9fxqspKdielIQVV654vc2UzKWiaGizYW9aGhZlZWFPWhpWZWR4pc2gShX13/n5UPLzC7MJXbYMuU88ATinD3BIpmgIJHfZWCRTE0gJsinkcMC8di3yhw/37Ll8xFdtpuD1hPz8Yq8nh6IUvsEpaWlw1Kvn2XP5UEObDbuvXsVr6enYefUqPktJ8enryXjiBBzdugEA7HffDcPatZ49l480tNmwNzUVizIzsSc1FavS0z0/BgMwXLgAy9atyBk5stjjlk2bkHvffQAA26hRMKxfX+7nKNNIkKIowmvvs7Ozhes/9thjwnpERAQq5+ejkdWKGfXr48XQULx+4QKG2Gzo//LLxZatvWULIleuLPw5rOCA0qQJ7J99dt22kxMTcVOfPjCeOoXsuDiYunQp/OXD5s1Dpc8/h71qVVz94gvpXB/uiHLJzMwUrluaXAAgLD8fjZOTMb1mTbwQEoLFly7hzTvvxMW77iq2fL1vv0WjVasAAFX/9rfCxx1Nm8LukhkAXLp0CbDZULtfP5hOn0bm6NFQOnZEKIDQb76BtU4d5DVrBgCw2+2we/qCLyEtLU1Yf/jhh4X1WrVqoVpeHholJeHpunXxUmgoFp4/j3sNBtwzf36xZa9rMwMGAHCfCwBcTUpC9d691TYzdizQoQMsAIxGI8KWL4d99WpY27RB+uzZcJSY56Q0bciT15JoThegaN6rylYrmqSn47HwcDxrseCdq1expG9fJP/1r8WWr/nNN6j/6afqur17FxWaNgW++KLYsikpKYDNhqo9e8Jw6hRyx42Do317GAGYTpyAY88ehMyZA4SEIHvOHNgkc8y4I8omNzdXuK4sm4K5r0Kd2UyuVg3PmM1499o1vNenD5JKZFNr82bUX7ECAFDFteYmmytXrgA2G8LvvhvGU6eQM3YsbLGxKPhtbDYbTHv2wF6zJvKjowGXTpenbUZ2nBk3bpywnpOTAwDItdvRxG7HgwAetljwSV4ePho8GCnO10uBiA0bUGv5cgBAiPONGgDQpAms//tfsWUrVaoE2GwwdegAnDgB+8MPo2rBKeTFi2EaMACYOROw24E9e2C0WIT76o4om9TUVOG6jz76qLDumk1jmw1xISGYVLkylmVnY8Xw4UgdOLDY8uFffYWay5YBAEI6dSp83N6kCfKcp3QKlw0Pvy6bsIJjeosWCNm0CRgyBFi/Hjh/vtj8ZN6YJ+jixYvCuuwYnJOTo+Zit+NBRcHDISH4OC8PfTMz8cT77xdbNmLDhsJcgKJsHE2aIM95/Cm2/OzZsM6fj8oZGTCaTIVzJhmTkxHWtKmaRVQUcPnydfO2lTaboDwddt5sxtHQUADAkZAQ1HczmdPl3r1x2eVg3c31ReiO0Yir27ZBSU1FRFwcjL/9BptzEqvMZ55BxsyZCHvjDYR9+CEyZszw3i/jZefNZvzm/M8+EhKCpomJ1y1z8a67CjtGvUrzXRWjEZe/+QZKaipqjB8P09GjsEVFodpbb+HyJ594df995U/XNhMaipvz869bpmSb6dq1q3ijRiOuffstlNRUhI8ZU9hmskaPRuaTT8IBIGzBAlSdPRtpixZ589fxqnNGI351vqn8bDajjZuDXvJf/1rYMercubN8o0Yj0nftgpKaisqjRsHw66+w3347YLVCuXYNGVu2wHjwICrHxSE9ISFoR9HOGo044jxF9bPZjDaXLl23TFKfPkjq0wdAKdoMABiNSN2xA0pqKqo++GCxYw0AWFatQp7Lh5NgdFpRcNg5seNPBgO6XLhw3TIp/fsjpX9/AEAz5wclIaMR1v37gZQUGO+9F/jlF6BlSxiWLAFefx3429+Azz4Dxo0DJBP0BdIZRcHPRiMAIEEjm9QBA5Dq7DQ2btxYvlGNbGxLlsAwbRowZw4waBBQjs6hvxRrM4qCKDedetc2AwBNmzbV3J7h66/hqF0bjnbtoOzcqf3EiuLR8SUoO0F5Lr+QXVFgcjP6UPJTvaFgOFFjJKiAIzwceV26IGT7dmSVmMkze9gwVB81Kqg7Qa7Z2AAY3Azfu44EGQtygfaIR2E9PBy5nTsjdMcO5PToAeO5c6jbt6+6nYsXUadfPySuXw977dpe+m28J89lJt7Sthmjc7SkNLnkde0Ky/btyG7eHI6C39/hQPbIkaj+wANe+i18I7dEm1HctBnXkSC4zp7uZrTDlSM8HNZu3WDetg25t98Oe/36yB84EFAU2P7yF8BggHLlSuGXyINNydeTu2xcR4LKmk1+164wb9tW1AmyWmHZsAGp27Z5Y/d9xnWsTSsX15Egk+uncDcjQcVXjICjRw8YNm+GvWVLGD7+GHjzTbV2773AQw95/gv4ULHXk6K4zabYSJBLx8XdSFAxJbJBs2bA5s1q7fhxYMMGr/wOvlCyzbi718B1I0HObNyNBBn27oXxq69g3LQJyM0F0tJgjotD/ocfqsfgixeBRo3Uvz14TwrKTlBplGkkKClJPdccHg5kZ8OycycyJ00CABhPnoTN2VMP/eYb2AQ904qiLCNBhitX4DCZCrMJ3bkT6Y8+Cmvz5riYkFA4RF+vc2ckfvVVhb46rEwjQUlJUDIyitpMfDyyJk8GABgSE2GvUwcAELpxI6yl+RQc5MoyEqQkJwNmc2E25u3bkeP8knh+v34w7doFa7duMPzxB5S8PDhq1PD5/vtSWUaCrssmPh7ZLqe7zfHxsN1yCxw3wIUGZRoJSkoCzGYgIgLIzoaybRvsBbe8qVcPiI8HevYEvv0WuOUW3+64H5RpJEiUzeXLQP366mnCuXMByampYFeWkSDriy/C5ryy1LBzJ4yLFiH/ww8BAPb+/WH85BPgueeA5cuBwYPLvU8VthNUJhcvovqDDwI2GxS7HTmDBiHPeVCr8tJLMP3xBxwGA2wNGiBtwYIA76x/GS9fRvUnnijMJmvgQOTo6XJvLRcvImL0aPVTnt2OnMGDi9rMiy/C9MsvcCgK7A0bIu3VVwO8s/6lXLqEyo8+WphN3tChsDpHDPNGjULlyZNRtVMnOCwWZL3zTtCeCvMFQ2IiqkyerH7Xx25H3uDByHf5HpFl9WrkDRsWwD0MkIsXYRo3rjAX+/DhcDjfDG3vvgvTtGnql6VDQ4ElSwK8s34myMawciXw7rvqcsOGAYL73umJdfp0mEeNAj76SP1OkODsj0zQdYL+NJsxqFGjwp8/cI48vOvJRlu3xlWNc8yp//kPgNJ9KTHQ/jSb0d/lBo7/qV4dMaNGebTN/ObNcXnTJulyF/fs8eh5fOmCxYLBLp+2PnSOPPzbk422bo1rGqcs0t5+G0DFaDPnTSb0co5aAcB7VavibskXZGXsLVsiQ+scvcWCrAryJnbeZMJdLlevvVulCu4aO9ajbdpatEDq9u2a9Uxn2wlmZw0GxLqc3lpkMuH+Rx7xbKOtW8O6b5/bkqNLF+DAAc+27ydnDQZ0dDkl+qbFgvslX6qWEmRjf+wxGJ980rPt+8FZgwF3OL+TCQCLnd+zG+Sl7du7d4e9e/eiB2rUQP7GjTC6PGd5Bd0l8kRERET+wE4QERER6ZJSliF9RVGSAJzx3e4ErSiHw6E565uOcwGYjRbmoo3ZuMdctDEb94S5AMxGtlCZOkFERERENwqeDiMiIiJdYieIiIiIdImdICIiItIldoKIiIhIl8o0WWLNmjUdkS6T9ZUku7vz6dOnhXVP7pAsu2Ns8xL3CSspVDDp0pkzZ5CcnKz5BDVq1BDmUnAHYi1nz54V1kVfXpfdbVzm9ttvF9ZFuQDAwYMHk0XfwJe1Gdn+BzKbFi1aCOuibE6fPi1sM7JcZG3mzBnxxR43cpupyNkU3MHendK0maioKM31ZfseyFw8eS0BwIEDB6RtRo/ZyNoMwGxkz1GmTlBkZCR2Cu7meurUKeH6Y8aMEdYtgjvk7t27t9zrAsBKwQ0yAeC2227TrHXs2FG4bmRkJLYLZok9evSocP3HXO4t5E6+mzuiFzh8+LBwXVnnUJaL6N4uAFCpUiXhKyQyMhK7d+/WrB85ckS4/UnOe7xpEXW8ZdnIfP7558K6qM20b99euK4sl19//VW4viwXUUfB01xkbUZ2Hymz2exRm5Fl86hkBt+8vDzN2qFDh4TrysiyEX0Y69Chg3DdqKgo7BHM3C7LZeLEicK6L3NZ5byhsxbRawkAFEURthlPs3lYck8u0XEmkNnExsZKt89sxHg6jIiIiHSJnSAiIiLSJXaCiIiISJfYCSIiIiJdYieIiIiIdImdICIiItKlMl0iL/Paa68J67JL8UTX/D///PPCdbt16yasN2jQQFi3Wq2atdLcZFa0zLx584Tryi5ZFuUyc+ZM4bqdO3cW1uvWrSusiy7PLy1RNrL/159++klYr1y5smbtn//8p3Ddrl27CusNGzYU1kXZeNpmnnvuOeG6+/fvF9bDwsI0a7JcunTpIqzLpk0QvZZKy5NsZG1GNFePp21Glo0v28zTTz8tXNeTXGSZy46/0dHRwrqv24zsOOnJ6ymQ2ZT2BugVNZtGjRoJ697IhiNBREREpEvsBBEREZEusRNEREREusROEBEREekSO0FERESkS+wEERERkS6xE0RERES65NV5gkTz2QBAVFSUsN6sWTPN2vjx44XrRkRECOtms1lY93Q+HEVRNGuyuUNuvvlmYb1169aatQkTJgjXrV69urAu2m8AsNlswnppiJ6jbdu2wnWPHj0qrIuyeeSRR4TrytqMjKdzVIhy+ctf/iJc15e5yNqM7LViMHj+2SpQ2Tz66KPCdWVtRjbfjej38rTNdOrUSbjusWPHhHXRa3HSpEnCdWVtRnYcKe2cLiKibDp27ChcV9ZmmI02UTaTJ08Writ7Pdntdo/qpcGRICIiItIldoKIiIhIl9gJIiIiIl1iJ4iIiIh0iZ0gIiIi0iV2goiIiEiX2AkiIiIiXfLqPEExMTHC+nvvvSesnzlzRrN25513Ctc9ePCgsC6bv8OXqlatKqyfPn263PVffvlFuO7+/fuFdZPJq02gzGTzN3mSzeHDh4XrHjlyRFiXkc2x5Amj0SisBzIX2f+ZN+buEAnmbGSvJ19mI9v22bNny10/dOiQcF3ZXDKBzAWQz7XjSTYJCQnCdWXzMzEbbbLXOucJIiIiIiondoKIiIhIl9gJIiIiIl1iJ4iIiIh0iZ0gIiIi0iV2goiIiEiXvHp9dPfu3YX1Dz/8UFjPzc3VrE2ZMkW4rsEg7s/JLgP0pQceeEBYr1u3rrAu+t0mTpwoXFd2+WVmZqawHhoaKqx7asyYMcJ6ZGSksG6z2TRrDz/8cHl2qZDsEnhftqm4uDhhvWHDhsK66NJRWZuR8fUluzKybGRtRrT/EyZMEK4raxOBzObRRx8V1qOjo4V1UXseP368cN1gzgWQHwuioqKEdT1nI2s3ov2vCNlwJIiIiIh0iZ0gIiIi0iV2goiIiEiX2AkiIiIiXWIniIiIiHSJnSAiIiLSJXaCiIiISJe8Ok+QbD4B2dwmW7Zs0azJ5mT5+eefhfXY2FhhPScnR1j3RIMGDYT1v//978L6pk2bNGtms1m47k8//SSsd+rUSVjPyMgQ1j3VqFEjYd2TbGRt5vDhw8J6q1athHVfkr2W7rvvPmFdlItMMOcCeJ7Nxo0by/3cnmbjy7ml6tWrJ6yPGDFCWN+wYUO5nzshIUFYj4mJEdZ9PR/MzTffLKwzG23333+/sF7Rs+FIEBEREekSO0FERESkS+wEERERkS6xE0RERES6xE4QERER6RI7QURERKRL7AQRERGRLnl1nqDc3FxhfevWrcL6ww8/rFlr2bKlcF3Z/Bzp6enCeuXKlTVriqII1wXE838cO3ZMuO7Ro0eF9UmTJmnWmjVrJly3TZs2wvrVq1eF9bCwMGG9NETZ/Prrr8J1f/vtN2F9/PjxmjXZHBOyNiX7fzeZtF8+nrYZWZs4cuSIsO5JLrLXksEg/uxkNBqF9dII1myCuc2cPHlSuK5sTpZx48Zp1mTHEVldNj+Sr9vMiRMnhOseOnRIWA9kNrLXW2kEazay15s/2g1HgoiIiEiX2AkiIiIiXWIniIiIiHSJnSAiIiLSJX11gmw2VO3RA2H/93+FD5nXrkW1Tp1gqVQJyoEDAdy5ALPZcFOvXogYNarwoSovvIDK7dqhUseOCL3/fiAlJYA7GCA2G0I7dULI3/5W+JD5xRcR2r49THfcAVO/fsCFCwHcwQCy2RDSsSMsw4ZdVzK8/josISFAcnIAdiwIuMnGNHcuzI0aqe3mjjugeHAj1wrLZoO5QweYhg4t9rDh7bdhatkSpjZtYJg5M0A7F2BusjGNGlXYXsy33grTHXcEcAcDxE0uyqFDMHfvDlNsLIwdO0LZt6/cm9dVJyjk3Xdhv/XWYo/ZmjdHxkcfwdG1a4D2KjhUXroU1ltuKfZYXo8eyPrxR2Tv3Qt706awvPZagPYucExvvw37bbcVeyx/6lTk/PgjrPv2wd6vH4wvvRSgvQss09tvw+7u6sRz52DYuhWOyEj/71SQ0MrG9thjsO7bB+u+fXDcc08A9iywjG+9BUeJ15OyYweUL7+E9cABWA8dgv3JJwO0d4HlLhvrJ58Uthf7kCGwDxkSoL0LHHe5mP7xD9iefRbW/fthnzULhmeeKff2g64T1NBmw/cpKXg9MxPfpabii7Q0hEoukysN5c8/Yd6yBbkPPFDscfttt8Fe4s0/WDW02bA3LQ2LsrKwJy0NqzIyEGK3e7xdw4ULsGzdiuyRI4s9ntezJ+C8pNd2xx1QgnTEI9Juxw/p6ViclYXv09OxOjPTa23GuGkTrGPGFC9Uq1b076wsoBSXNgeKu2y80WZw/jwMmzbBVjIbAKYZM2CbNy+ocwECk01FEGm348eMDLyRnY29GRlY481cNm6ELS6u2MPGpUthnzEDCAlRH6hd2/Pn8hF/Z1PI4YBh1SrY//53z5/LB9zl4o1jsGYuigKkpan/Tk0F6tUr91N4dZ6gxMREYX3ixInCenp6OjIcDjS22zHCasUhRcGnNht6pabi6Y8/LrZsta++Qs0PPij82dypEwDA3rgxckosCwBVn3sO+S+/DEtGBowGA0JDQ4vVDQYDLBZL0QvRRWnm7xAtk5eXJ1xXND8SAKQ5/7MzHA40cThwf34+DikK/me1YtWIEUgZMKDY8hEbNqDW8uUAAIvLCJetcWNkOR8vYDabUWXWLGS/8AJMGRlQDAaYzebCepUqVdR/rFgB3HcfzAU/l4En2YjmdAGK2kwThwP3OxyFufRJT8czn35abNlqX36JGi5txtKlCwDA0bgx8lesuG7bxunTkfXCC1DS02F0OJCfn19YC5kzB5aVK4HwcGD7dhgtlmLretpmZHNulSYXAG6zWTViBNIGDSq2vGs2ls6dCx93l01ubi4qT5+OrNmzoaSnw+BwFP4/mjZsgKFhQxhiY9VtWSxAiWxKI1DZrB450m02N5Uym7y8PFSaPh3Zs2dDyciAwaXdGOx2hLzzDvDpp0BsLPDaa0D16qX6nUuzTFZWlnBd0XwuQIlcAPyf3a7mYrdj3YMPIn3w4GLLV12/HtXffx8AYG7fvvBxR5MmsLp5PZlmzID15ZeBEnO2Kb//DuW776A8/zwQGgrbggVAOU77iLLJzs4WrhvIbBRFKfzgoKSnQynxuyiKAmX3bjhq14ZS4kxGafk6G3e59ElPx/Off15sWddcABSe3tNqM2aNXKz/+hfMAwcCzzwD2O2wxscL91HEq50gbzkF4JDzlz2oKIhys0zagAFIc3nzb9iwoeb2jBs3wlGrFhzt2kHZudPLe+tfrtkcUBR0czM6k9K/P1L69wcAREpOSZi/+Qb2mjVhi4mBafdu9wu99JI6IlRipCiYlMzFbZsZOBBpAwcW/tyoUSPN7Rm+/hr2WrVgj4mBcdeu6+q5zz2H0H/9C5g3D3jrLeCFFzz9FXymZDY93LQZ12xEuQCAadMm99lkZSFk4UJg2zav7buvlcym559/XreMazbR0dHC7Zk2bYKjVi3Y27a9rt3kjRuHkLlz1U+xzz0HTJsGuHTKg0mxYzCAu9zkkj5oENKdHUbZccbw9ddAwTG45BuW1QpcvQrbd98B+/bBOGIEbMePB+1IorezUTZsKHp/0ngzV1auhOO++zzab18rmUu0m2VccwHE2Ri+/lozF+OSJbC++iowbBiUzz+HceJE2DZtKtd+B2UnyPVzng1AJTfDateNBDk/bbobCTL+8AOMGzbA8M03UHJygPR0mMeORX6QHoBESmaj2GzXLVNsJMhlVMfdSJDphx9g2bQJ5q1boeTmQklPR9jEich87z11gWXLgK++Ut/YgvSgBJSyzZQcCXKO+rn7RG/4/nsYNm6EefNmwJlLpQkTkL1kSfGNjhwJ9OsX1J2g69qM1XrdMsVGglxGQ91lY/zhB5jdZJM7ZQoMZ84ABbPEnj8PtGsH/PgjULeut38tryjN66nYSJDLqJbbbPbuhWnjRlTZsgXIyYGSno7Q8eORs3QpHLVrAwUz3I4fD5QYwQ0mpWkzxUY7XHNxN9qxZw8MGzbAsmkTkJsLpKXBNGYMrMuWAfXrwzF0qHp8ad8eMBjUL9TXquWD38xz3s7G8P33MDjfn5CTA6SlwThmDGzLlqkLWK0wrF0L69693v1FvOy6Y7CbZUqOBBVkI2oz7nIxfPIJbAsXQgHgGD4ciuRsikhQdoJKoywjQXmzZ8M+dy4AwLBzJ0yLFlXIDlBplWUkKPv555H9/PMAANPu3Qh9++3CDpB52zbglVeA+HhAcFuRiqIsI0HWOXOQ+89/AgCMu3Yh5K23CjtAhhMnYG/SRF1w3TpAcuuSiqAsI0G5s2Yhd9YsANdnk/7HHwgPD1cXjI4G9u8Hatb02X77Q1lGgnJnz0bu7NkA1Gwsb76JnKVLAQDKpUtF3ydbswaQ3IIj2JVltMM2dy5szmOwEh8P46JFagcIgG3QIBh37ICjZ0/g+HEgL6/CtxmPsnn99aIOEABl2zb1i8ENGvhsf/2lLCNBtrlzYXdedHJdLvXqqWd1evaEsn070LRpufepwnaCvMWwbh0s06apnzz69wdiYoBvvgn0bgWFyk8/DeTnA717qw907Ai8+25gdyoIhM6eDcMff6inCKOimAmVSsjzzwNHjqgjHtHRQMFoq87ZR4+GceJEGGNiALMZ9g8+COpRZ38zfPZZ0J8K8zfrO+/AOG0aFKsVjtBQWN95p9zbCrpO0BlFQVuXmwy+7rx53HAvbd/evTvyuncv+nnwYOQMHoxKldwN3gWXM4qCNi4Hh4WKggceecRr27d27YoMly9Sp+7fj5tuuslr2/cVd7lAUeCt6yhs3bohq1u3wp+znKdbC0c8gpi7bMZOnuy17ZfMppjTp732PL7gLptxXs4m2yWbnCVLYHG9sjBInVEUtHb5+TVFwYTHH/fa9h09esDao0fRAxYL7B995LXt+5LfswFg+89/vLZ9X3GXCwCM8NL2S+bi6NIF1r17S3UxgUzQXSJPRERE5A/sBBEREZEuKY4yTGikKEoSgDO+252gFeVwODQvVdBxLgCz0cJctDEb95iLNmbjnjAXgNnIFipTJ4iIiIjoRsHTYURERKRL7AQRERGRLrETRERERLrEThARERHpUpkmS6xZs6ZDNG18amqqcP1Lly4J6zY39+0pILvTrUxLyRT1IW7uHl/g9OnTSE5O1pyVSa+5AMCBAweSRd/Ar8jZtGrVSli3CO6O7mmbSUlJET53YmKisB6suQCet5kbNRu2GW1sM+7J2gzAbGTPUaZOUHR0NPbt26dZ3yS5i+uCBQuEddF/xqFDh8Q7J7F+/XphXXS/pNjYWOG6es0FABRFEV56GR0djf3792vWN27cKNx+MGcjOrCUps2Iclm7dq1w/UWLFgnrwZoL4HmbuVGzYZvRxjbjnqzNFKzPbLTxdBgRERHpEjtBREREpEvsBBEREZEusRNEREREusROEBEREekSO0FERESkS2W6RB4ARDdcfe+994TrxsfHC+vh4eGatVmzZgnX7dGjh7AuuwTTbrcL657wNJeIiAjNmiyXnj17Cuv+yMWXbSaQ2fjSsmXLhHVfvpaCOReA2WhhLtqYjTa9Z8ORICIiItIldoKIiIhIl9gJIiIiIl1iJ4iIiIh0iZ0gIiIi0iV2goiIiEiX2AkiIiIiXSrzPEGKomjWYmJihOsmJCQI66L1p0yZIlxXNF9MaYjmsvGU3nPxpM0cOnRIWG/Tpo1mberUqcJ1gyEbLb5sMxU5F4DZaKnIufgas9Gm92w4EkRERES6xE4QERER6RI7QURERKRL7AQRERGRLrETRERERLrEThARERHpEjtBREREpEtlnifIE2fOnCl3vW3btsJ1T506Va59KmAwBK4/yFy0nT59utx1X2cjmv/I1zxpM7J5QWSZywQyF4DZaAnmXAKN2Wi70bPhSBARERHpEjtBREREpEvsBBEREZEusRNEREREusROEBEREekSO0FERESkS169RH7KlCnCenR0dLm3HRcXV+51A425aJs6daqwrtdsmIs2ZuMec9HGbLTpPRuOBBEREZEusRNEREREusROEBEREekSO0FERESkS+wEERERkS6xE0RERES6xE4QERER6ZJX5wmKiIgQ1kePHi2sr1u3rtzPnZCQIKzHxMQI6w6Ho9zPDQCKomjWApnLoUOHhPU2bdoI657mIiPLZsyYMcL62rVry/3cgW4zIsxFW0XOxpeYizZmo03v2XAkiIiIiHSJnSAiIiLSJXaCiIiISJfYCSIiIiJdYieIiIiIdImdICIiItIldoKIiIhIl7w6T1BqaqqwvmPHDmFdNB+BbD4bT+cTMBg86w+K5kYJZC6yuoynuciW+LEmAAARPUlEQVTIstm+fbuwHsg2I5obylMpKSnCejC/lnyZC1Cxs/El5qKN2WjTezYcCSIiIiJdYieIiIiIdImdICIiItIlfXWCbDagXTtg4MCixw4dAjp3Blq1Uh9PSwvc/gVKo0ZA69ZA27bAHXcUPX71KtC7N3DLLerf164Fbh8DITpabRcxMUBsbNHjn38OtGgBGAzA/v0B272A0spmxgygWTO1PQ0dCki+b3BD0srmuefUXGJigD59gAsXAraLAaGVS4HXXgMUBUhO9vuuBZxWNrNnA/Xrq4/HxABffx2oPQwMUZt58031WNOiBfDUU+V+Cn11ghYvBpo3L/7Y+PHAvHnAzz+rB+1XXw3MvgXat98CP/0E7NtX9Nj8+cDddwO//67+PX9+4PYvULZvBxISind2WrYEVq8GuncP3H4FA3fZ9O4N/PILcPgwcOut6mtLj9xlM2OGmktCAjBgAPDii4Hbv0BxlwsAnDsHbN4MREYGZr+CgVY2TzyhPp6QAPTrF5h9CyR3uWzfDqxbpw5iHDkCTJ9e7s0HXSco0m7HD+npWJyVhe/T07E6MxOh3rgr9fnzai963Ljijx8/XvRm1rs3sGqV58/lI+6yCbHbffeE69cDBXe4Hz0a8OBuwb7kszajpXlz4LbbfLd9L/J7m+nTBzA5Lzrt2FF93QUpv2dTrVrRvzMz1VGPIOT3XAD1jf6VV4I2kwIByaYC8Psx+J13gJkzgZAQ9efatcu9qaDrBAFAE7sd74eEoFPVqkhVFAzKz79umX7XrmHlsWOFf9C2rfrn3nvdb/SJJ4AFC9RTGK5atFB7lIB6muPcOS//Nt5VMpu73Vxi7ppNYS6ibBRF7QDGxgJLlhQ9npgI1Kun/rtuXfXnIFWuNlMwxDx8uPuNKgrQqxfwl78Uz6WCKXObKcjF02w++AC45x4v/ibe5/dsnn0WaNgQ+O9/g3okyK+5rFunnvLxcDoPf/F7m3nzTfU06tixQf2VBL8eg48fB3btAjp0AHr0KH4Go4y8Ok/QDz/8IKzHxcUJ66mpqUgDcArA7owMAMBeALXz87FmzRrxk0dHa9e++gqoVUsNsuScB//5DzBlChxz56rfCbJYAC/3YGW5iOZZAIrm0nGXzczhwzF+8mTtlUW5FNi1Sz0IXb6sfpJv1qxwdKzY/EeK4vdsPGkza2UjV7Jsdu8uyqV372K5+FpCQoKw7mmbmfDYY9orl6bNyLJ56SV1RGjkSPm2yqhCZ/PSS+qfefOAt94CXnhBvr1SqpC5xMYCL7+sngrzoQqZTffuwCOPqN8lUxT172nT1A8XXuSNbPx+DLZa1e+s7t2rdoD+/nfg5MlyjSR6tRPkLbku/7YBqORmmbC1axG+dGnRAxaL+nfTpuqIjqvvvgO+/BLYuBHIyVG//PzAA8DHH6uhfvONutzx40H/xbOS2cBqvW6ZYtkU5AK4zwZQGxmgDikOGQL8+KPa0OrUAS5eVEeDLl70aMjR10rdZlw/Tbi2mS++uH4F11yGDi3KpYIpmY1is123TLFsSraZsmazbJn6wWPbtqA/veH3bAqMHKl+v8OLnSBv8lsu1asDp04VjQKdP69evPLjj+rocxDya5upU6domfHj1e+SBSm/HoMbNACGDVOPL+3bq2d4kpPVwY4yCspOUGlkDhmCzCFDCn+OFvUo580r+oLmjh3qVQgff6z+fPmyGrDdrn5CmzjRZ/vsL67ZCHMB1O8m2O1A1arqv7dsUT9xAOrI2PLl6rnX5cuBQYN8u+M+VqY2UzKXzZuB55/3/U4GiEdtxjWbTZvU73bExwOVK/t2p/3Ea9n8/rt6pSWgngJq1sx3O+0HXsmlVSv1GFwgOlr9AmzNmj7bb3/wWpsp+BAKAGvWqBdlVGBeOwYPGaJ+OfrOO9XBi7y8creZCtsJ8poVK4B//1v999ChgOT0yw0nMVHtUQPqqNL99wN9+6o/z5wJ3HefOvwaFQWsXBm4/fS3xES1PQBqLiNGFOWyZg3w2GNAUhLQv796TrtgNFEPRNlMngzk5qpD14D65eh33w3MfgaCKJuZM4Fjx9RPrVFRzKUgF70TZfPUU+qVUYqidhDfey9gu+l3olzGjlX/tGypjiYtX17uUeeg6wSdAdDK5efXnH+P9tYT9Oyp/ikwZYr6pwJwl82kqVM922jjxuqLzJ0aNYCtWz3bvh9otZkxnmy0cWP18kt3hg4tenEGOXfZTPZGm9HK5o8/PNu2H/k9myC+8tSV33Nxdfq0Z8/jY37PpuCMRZDz+zHYYgE++cSTrRcKyqvDiIiIiHyNnSAiIiLSJXaCiIiISJcURxnmfVEUJQnq6T+9iXI4HJrX3uk4F4DZaGEu2piNe8xFG7NxT5gLwGxkC5WpE0RERER0o+DpMCIiItIldoKIiIhIl9gJIiIiIl1iJ4iIiIh0qUwzRtesWdMhutdHSkqKcP3ExERh3ebmRnQFsrOzhevKtGrVSli3uN7kroTTp08jOTlZc05uveYCAAcOHEgWfQNfr9mwzWhjm3GPbUYb24x7sjYDMBvZc5SpExQdHY39+/dr1teuXStcf9GiRcK66D/jUGmmXBdYv369sC5qJLGxsdJ19ZgLACiKIrz0Uq/ZsM1o83WbWbx4sbAuyiZB6xYypRTMbaai5gKwzWiRtZmC9ZmNNp4OIyIiIl1iJ4iIiIh0iZ0gIiIi0iV2goiIiEiX2AkiIiIiXSrT1WEyy5YtE9bj4+OF9fDwcM3arFmzhOv27NlTWJddfeBLzEUbs3GPuWhbvny5sL5jxw5hXZTN7Nmzhev26NFDWA9kNsxFG7PRJjvW3OjZcCSIiIiIdImdICIiItIldoKIiIhIl9gJIiIiIl1iJ4iIiIh0iZ0gIiIi0iV2goiIiEiXvDpPUExMjLAuu6OsaP2pU6cK142IiBDWA4m5aGM27jEXbW3atBHWZdmI1p8yZYpw3WDOhrloYzbaZMeaQ4cOCesVPRuOBBEREZEusRNEREREusROEBEREekSO0FERESkS+wEERERkS6xE0RERES6xE4QERER6ZJX5wmSOXPmTLnrsrkMTp8+XZ5dCgrMRRuzcU/PuSiKIqzL9l9Ub9u2rXDdU6dOCeuBxFy0MRttes+GI0FERESkS+wEERERkS6xE0RERES6xE4QERER6RI7QURERKRL7AQRERGRLnn1EvmpU6cK69HR0eXedlxcXLnXDTTmoo3ZuMdctE2ZMkVYj4qKKve2K3I2zEUbs9Gm92w4EkRERES6xE4QERER6RI7QURERKRL7AQRERGRLrETRERERLrEThARERHpEjtBREREpEtenScoIiJCWB8zZoywvnbt2nI/d0JCgrAeExNT7m17irloYzbuMRdtzMY95qKN2WjTezYcCSIiIiJdYieIiIiIdImdICIiItIldoKIiIhIl9gJIiIiIl1iJ4iIiIh0iZ0gIiIi0iWvzhOUkpIirO/YsUNYF81H0KZNG+G6gZ5rQYS5aGM27jEXbZ5mExcXp1mT/e7BnA1z0cZstOk9G44EERERkS6xE0RERES6xE4QERER6RI7QURERKRL+ukERUcDrVoBMTFAbGzR4/fdpz4WE6MuEwRf1PI7rWwSEoCOHYse//HHgO1iQGjlcugQ0KmTWhs4EEhLC9guBkxKCjB8ONCsGdC8OfD99+rjV68CvXsDt9yi/n3tWmD3MxC0svn8c6BFC8BgAPbvD+w+BoJWLjNmqI+1bg0MHaoupzda2Tz3nJpLTAzQpw9w4UJg99PftHIp8NprgKIAycnlfgr9dIIAYPt29Y3d9QC0cqX6WEIC8Le/AcOGBW7/AsldNk89BcyapT7+4ovqz3rjLpeHHgLmzwd+/lk9aL/6auD2L1CmTAH69gWOHlU7hc2bq4/Pnw/cfTfw++/q3/PnB3Y/A0Erm5YtgdWrge7dA7t/gaKVS+/ewC+/AIcPA7feCsybF9j9DAStbGbMUHNJSAAGDFCPw3qilQsAnDsHbN4MREZ69BRB1wmKtNvxQ3o6Fmdl4fv0dKzOzESow+H7J3Y4gM8+A+6/3/fPVU7usgmx2333hIpSNMqRmgrcfLPvnssDfm8zx48XvZH17g2sWuW75/KQT9pMaiqwcycwbpz6s8UCRESo/163Dhg9Wv336NHA2rWePZcPNbTZsDctDYuysrAnLQ2rMjJ8m03z5sBtt3m2fT/wey59+gAm52wtHTsC58979lw+5PdsqlUrWi4zUz0mByF3uXh8DBblAgBPPAG88orHmXh1nqCEhARhXTR3CQCkpqYiDUATAPfZ7TgEYKXdjl5paZhb4mAatnYtwpcsKXqg4DRW06bAF19cv3FFAXr1AoxGYOJEYMKE4vVdu4A6ddRhfC/zRi4A3GbzVVwcMocOLbZ8sWxcT++VNZtFi4C//hWYPh2w24E9e4T7WR4Vss20aKG+2Q8Zop7iOHdOuI/lEdRt5tQpoFYtIC5O/XT2l78AixcDYWFAYiJQr566XN266s9eJstGNG8JUDQvSjic2eTlFWbz5ZgxvsvGx26IXD74QP2KgpdV6GyefRb46CMgPFwdmfYyb2TjLpe7U1Mxd82aYsuW6RgsymXdOqB+fUAy51lpeLUT5C2nABxy/vsAgGg3y2QOGYLMIUMKf46OdreUi9271dAuX1Y/vTdrVnxYesWKoB4FKlAym95uPjW5ZiPNBdDO5p13gNdfV08TfvaZ2iPfutVbv4pX+bXNfPAB8PjjwJw5wKBB6ieUIOb1NmO1AgcPAm++CXTooA5Zz5+v5uFKUYL2k2uBgGUT5AKSy0svqSNCI0d641fwGb9n89JL6p9584C33gJeeMFbv4pXef0YrJXLM88AL7+sngrzgqDsBOW6/NsGoJKbZa7rURa8EWl9qq9fX/27dm31exw//ljUCbJa1XP1Bw54Ye99q2Q2is123TLFsnF9gy5rNsuXqz1vALj3XvW7MEHKr22mWbOiF+Dx48CGDV74DXzH622mQQP1T4cO6s/Dhxd996dOHeDiRXU06OJFNbsg5tdsKhC/57JsGfDVV8C2bUHfcQ5Ymxk5EujXL2g7QV4/BmvlcuKEOkpUMAp0/jzQrp16fK5bt8z7HZSdoNIoU48yM1M9nVO1qvrvzZuB558vqm/dqr6xNWjgux32ozJ9ChFlc/PNQHw80LMn8O23PjlV6E9eazOXL6tv7nY7MHcu8PDDvt1xPyhTm6lbF2jYEDh2TP2Oy7ZtwO23q7VBg9TO88yZ6t+DB/t2x/3Aa9ncYLyWy6ZN6nc74uOBypV9u9N+4rVsfv+96Li7bp36PlWBlekYrJVLq1bqMbhoI+qFKzVrlmufKmwnqEwSE9VP8oA66jNihPqN8wL/+1+FOBXmE6Jsli5VhyCtViA0FHDtwd/oRLmsWAG8/bb672HD1HPWevPmm+on07w8oHFj4MMP1cdnzgT+/nfgP/8BoqLU06h6o5XNmjXAY48BSUlA//7q9yG++Saw++pPWrlMngzk5qqnnAH1y9Hvvhu4/QwE0evp2DF1WoWoKOZSkIsXBV0n6AyAVi4/v+b8e4wnG23cWP1ilZZlyzzZut+4y2by1KmebVSUTdeuFeIUod/bzJQp6p8KwCdtBlDfwN3NdVOjhvqJrQLwezZDhxZ1rIOY33P54w/Pt+0nfs8miK88deWTYzCgnYur06c9eoqgu0SeiIiIyB/YCSIiIiJdUhxlmNBIUZQkqCNfehPlcDhqaRV1nAvAbLQwF23Mxj3moo3ZuCfMBWA2soXK1AkiIiIiulHwdBgRERHpEjtBREREpEvsBBEREZEusRNEREREusROEBEREekSO0FERESkS+wEERERkS6xE0RERES6xE4QERER6dL/Axzq53HOUU6bAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(4,2))\n", "plt.imshow(X[15].reshape((8, 8)), cmap='binary')\n", "plt.xticks([])\n", "plt.yticks([])\n", "plt.title('Source image')\n", "plt.show()\n", "\n", "fig, axes = plt.subplots(8, 8, figsize=(10, 10))\n", "fig.subplots_adjust(hspace=0.1, wspace=0.1)\n", "\n", "for i, ax in enumerate(axes.flat):\n", " pca = PCA(i + 1).fit(X)\n", " im = pca.inverse_transform(pca.transform(X[15].reshape(1, -1)))\n", "\n", " ax.imshow(im.reshape((8, 8)), cmap='binary')\n", " ax.text(0.95, 0.05, 'n = {0}'.format(i + 1), ha='right',\n", " transform=ax.transAxes, color='red')\n", " ax.set_xticks([])\n", " ax.set_yticks([])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How many components to choose? Typically, they leave at least 90% of data variance to be preserved." ] }, { "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": [ "pca = PCA().fit(X)\n", "\n", "plt.figure(figsize=(10,7))\n", "plt.plot(np.cumsum(pca.explained_variance_ratio_), color='k', lw=2)\n", "plt.xlabel('Number of components')\n", "plt.ylabel('Total explained variance')\n", "plt.xlim(0, 63)\n", "plt.yticks(np.arange(0, 1.1, 0.1))\n", "plt.axvline(21, c='b')\n", "plt.axhline(0.9, c='r')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "We need 21 components to explain 90% of variance\n" ] } ], "source": [ "pca = PCA(0.9).fit(X)\n", "print('We need %d components to explain 90%% of variance' \n", " % pca.n_components_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### PCA as preprocessing" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "PCA often serves as a preprocessing technique. Let's take a look at a face recognition task " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1560 objects, 1850 features, 12 classes\n", "\n", "Persons:\n", "Ariel Sharon\n", "Colin Powell\n", "Donald Rumsfeld\n", "George W Bush\n", "Gerhard Schroeder\n", "Hugo Chavez\n", "Jacques Chirac\n", "Jean Chretien\n", "John Ashcroft\n", "Junichiro Koizumi\n", "Serena Williams\n", "Tony Blair\n", "CPU times: user 615 ms, sys: 63.5 ms, total: 679 ms\n", "Wall time: 94.1 ms\n" ] } ], "source": [ "%%time\n", "from sklearn import datasets\n", "from sklearn.model_selection import train_test_split\n", "\n", "lfw_people = datasets.fetch_lfw_people(min_faces_per_person=50, \n", " resize=0.4, data_home='../../data/faces')\n", "\n", "print('%d objects, %d features, %d classes' % (lfw_people.data.shape[0],\n", " lfw_people.data.shape[1], len(lfw_people.target_names)))\n", "print('\\nPersons:')\n", "for name in lfw_people.target_names:\n", " print(name)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Target class distribution:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Ariel Sharon: 77 photos.\n", "Colin Powell: 236 photos.\n", "Donald Rumsfeld: 121 photos.\n", "George W Bush: 530 photos.\n", "Gerhard Schroeder: 109 photos.\n", "Hugo Chavez: 71 photos.\n", "Jacques Chirac: 52 photos.\n", "Jean Chretien: 55 photos.\n", "John Ashcroft: 53 photos.\n", "Junichiro Koizumi: 60 photos.\n", "Serena Williams: 52 photos.\n", "Tony Blair: 144 photos.\n" ] } ], "source": [ "for i, name in enumerate(lfw_people.target_names):\n", " print(\"{}: {} photos.\".format(name, (lfw_people.target == i).sum()))" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8, 6))\n", "\n", "for i in range(15):\n", " ax = fig.add_subplot(3, 5, i + 1, xticks=[], yticks=[])\n", " ax.imshow(lfw_people.images[i], cmap='bone')" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train size: 1170 Test size: 390\n" ] } ], "source": [ "X_train, X_test, y_train, y_test = \\\n", " train_test_split(lfw_people.data, lfw_people.target, random_state=0)\n", "\n", "print('Train size:', X_train.shape[0], 'Test size:', X_test.shape[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we resort to RandomizedPCA (a bit more efficient algorithm) to find first 100 principal components which retain >90% variance. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "100 principal components explain 92.70% of variance\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pca = PCA(n_components=100, svd_solver='randomized')\n", "pca.fit(X_train)\n", "\n", "print('100 principal components explain %.2f%% of variance' %\n", " (100 * np.cumsum(pca.explained_variance_ratio_)[-1]))\n", "plt.figure(figsize=(10,7))\n", "plt.plot(np.cumsum(pca.explained_variance_ratio_), lw=2, color='k')\n", "plt.xlabel('Number of components')\n", "plt.ylabel('Total explained variance')\n", "plt.xlim(0, 100)\n", "plt.yticks(np.arange(0, 1.1, 0.1))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First principal components. Nice features!" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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Ns36B146WxyK7D7+VNto58k1LXcfaRWYYoWVM2nCsi9q0fpJj5fOBFq5YByyPFxYhBGHSCjSmz+K6ITtiJcMKGRa5hg9rO8wll/NJ7XurbKcQAl0uRzoeI/uG9UTS7cNYCNkzrXgVADOPrx5sIKd5BDP2WKSxqfSOsIxjYufNwI9MG9E2wgBRez+Ml4GGSzwHmIX98SGyqmAab3d8rhsyjU22np4Nm7xktDS/4qvxWgWANSy1tSN7vZbH5JR5xs9extRGrduNYWhiGnmt+01Hm1CZxoqKioqKioqKioqKiopVvCkcOE0zPX9+TuUcjDuYaBmzshlSuuGoyzKAYUysjXasmkx5gqXop2UaX4sEIXIDZ0rfTOr9bmBHyn6mC87xNr6HkhRgTAG4wF4TnqJ+cSfsio7gJaKvjLKLQ9P89Zo+r1nwq8+aKN9aDvRrNWeWPpciXPH1LIyyjmessVPXQJjnonxL4Xg3JIddWKPbLVw/z6Z0hO2fa+6+jlzBIjtiPYBxlfSj1viJw9eFo5N83zVSb7RJGi9TYkN+61vZ6F+Ar7mziT4ncxO09u2JVejN69dKbSC6tuSeyscjRcm+Hktbi5DjGKOmEb+3XNYjZT2s26dfAykCr/s19CZ5bUFhvcyxNtBR+Cn/c9EOk41q8xdDkzIhZn5veuV+lt8IRttl2AoiKurYtsLirjjRXRnOO+r3feoHrY7kWr1VfvsnR9V4rHOmQSZK1wfXwrrfLmV72IyQQjPMWkZPWtuIOcO6qOZggrjIWgDzgVI/0HVuAesmiXtcXAvz+QUM4wpzgUi9fH4lom81YyGEbM5YZvNno4uUv4dJvRamxpTpiadita7GwXIjl8mo/eoyl1Qu95CxXfF16c4trui2/wiz/W3HIO0zl3Vv18aDdP3sPW+YyOw6y/0CFl2yWbT+fCuEeabhcpZslJRthf5tykr1XaGTxr0LnaFrlqsPvI7yc0V9QuOXIFkTQd8jJfM4pVI9/KzwE2sbv7+Puk0wjlsuRRw5msRpO76H5xKsAcAu5kx+mTnwbX3SIvcZwJyJhCOs/6westD9Fhko2qPAeUf25/HZfm/Ke1RNY0VFRUVFRUVFRUVFRcW18DZN4xiZRkTYJBo66qfc3PnUuqFKUVXrYiW6IvP5r+ifpIYR9mGi+ECqA8fHZ/Rg4myIIuxDK1EmMKT9Howp2Mq4b+RrXxPOOeqaJul7TCTH6h08ayDzv+X7IipZpIItWQlE5bnRUu8FkfQR0Rq0+/K+1zQcjpxEjW09Qts/tkII3E+R225rbi3Ua4Q2UTSKUncStX10Pa6SaVyuueN9U+S0wyUV+0DkaxLNHNpPuw+L2yvfo5e+FVfBNYYR0SwbxbwWHB+/NzU4S4dU9LdU+8vWXbQM42taRilIj8i48+KkWjoN6+MrzmOFiZwm3I9lnbVUA9Iyjxu5pwbNhqR6uNCZcNGx7J7E6ToPRmRZ4zgb1ktYsJVC0p5m0dasH65lfOIWjOSae6pz2fhjr1ehwdwmfO29p8PdYVEDqLaIZnsnDOpa1LqoNckMbQOtUtDR/7x2rq0XZueAggE1Tq3o3rhmee2wQjNt2hT1GbsNNI1EmhmyWQWSSZFF/Nf1mbTyvvm8sIY2sr/Ofq3Og99wbnHfU3E/lHOGdvm+Phw1TZcVMtdsl1175W0t7S+GnKZNwe6aTIBVeEfODsUr93S5rllmjhf1ZGYeAsNnNe/XRqBA4zTI+sA61kJXiv7d9m1ySzb1Q2nU50RyTpjTzG8X2Re+mPdSNhhfV2ilzXOAfN4w7aKjH8bCKwL+KJ9fotfJ4zFu7bhyLYQQaJqnzB31lWu78HahybWeH2a8tePB0po81SyNr1OGgxx4fDnptk21YI0TfeaAb93O0VeQHYJ+9a2oTGNFRUVFRUVFRUVFRUXFKt4UDgwh0HC+JEcycR7SdRIlh3kci0hYUX/IRDWSq2CnPmdruC3tE7A13UQzwGxMYujgALdT748ZewjNpbBrxq1LIvZXRpPVaURAAgE6L8dfRttsRD6YCEXp9LacKw3k0WWbyy4On8zKSoR7MtGbb4gaJXYHx/O3wzQSu3nOo+67s3GXlJpDw0XV8CFKDGLBpEJviH64EqLJ6wVCH2CdPYWRKtppWU+T6psmfQHY0mYwbBfp+2QzF1V25CPRSBgNibBwqQ3AFCb3VB3xxneFQTRsJTl9v0o70UweRoTG0dT2vbUoZKl1YSdJ78nNX49gJh3kVnUaY78WrYNxtIPeJI80y7HOiKAuszTyC5aVeYNm0I5dZYbE8ueSLgy/Xe5bGFJEbzeKWgOu8XS426d7Ddk1xuFOju8r7JDc9x2iw7g3tUvp1/aRWGyt1VpjZb61fZxzEp1GHWPLMkDLCK3jtRHdD/kYRMu4vIxxzmVaeWZFoPU3cxlQaN7knuD1B0oqehJt6Cx9k3ifPGZP6H/r57L2gdnO01YHuTGiprHNxublySt3SC2cOlfqLwrQh5tv6H8rbM66oyUf39r+smOzzCjuG7iWbo0QAk3jIPMfGEbUZ8S9lvwJUn8P7AIsWjhpS85AwvrZ1ApdW7Pkc58zCxa7Bsd4J6yYZEzx33mdAd+Ptm+pByPG30UVhefzWW333bZaf8DWWgQSO9e8Oj7KeCsZHvq+Thp3+xsZGymeJMs6fNGyi4u+1o1+jUF/TZP7Vs3um3NInPdCfUrHQ+cREWY8iK4vL3ywEyteY1E86odEwBuL7DlMRZpYMrJYTv1KNtHebHU6Qj4OIV0RNDrSbnCOuBmvCediEWVZMMmCankI9M4tPkASlWkZsoBZsRRfGoRfs8i2f5d2dWspeZi4mzKlzGBLAxwiiml885wNgHoxOpl06kCzSukjWjjvlUUModSGuUfzxUNKYzSlGUwpjrV0x+L0VPqhHtwn03dfE3BfAz6zwX+t3IQjl6WV6tIbzUpqqXz3lfZwziWxO/9NHpYLg57lRbc1KWlkvGnEkGDteDA5r/aVX4gQ4vngfpf+vVLiJj9GOV+TKm0NPppgAhiyCHz9+N7yoLK4zVL5vEyw+rt2LNtqLPHe0e5mJ3MFzB5wfzmTWxe6dFwyJMBtiPQiQr4jQb74uniomMrrSW+8N9bGd8B7l8YlXtxgQYvvYn7cLcz9vxSOx0cJFLX6gWYp7QsLuDR+aPMOfBb3PkoXhGl5rk3HkgWZJK2ff3/6tr6dFu5lv7QlEMrgoJYrbAHn0oLZBkhnE4B3zhGJFEnvZy2NV9Yz1vxjoX+upwKvp/wR5Q9R+trIzDelYvZym9rU8JVjuCYCBenXMB1CAAZ9Ni+VYA9FrpPZr00RtRIZGyBVDx2mGEOaD/RvTEM8vsHpsUuIFpQyuYxCMM1zz9+Nr4/8YHnhv182kyc51b/Wymg12TrMBjQtKWAfGvHcg7J3X5vrSumAfvC0D36gs1p7DYwp6TzP6bkMa1pOQ5VnAImAva1f1/TUioqKioqKioqKioqKilW8Ocwd5jmlow766RapT/mTNdhHMRIxnx0GXWJDUlzFVASUuDanGMdxgeHhaKJhDuXY5andWBibiIhzTgoE4ztIT0QJERsJvjbygNkam4I0rDkEEc5PJgI9T1+PWL4WPXMO/ysjgYiATaNOV0WEw6ZaWgbDe0+B04Wmv7V0VI1AMVI8G3E3+qdtP+eaIp3IpqGmNEcbBeXzX0vbyc0EpAg174tspHU5nUIi662+JvFcdOoqjmcyqStbpUyCKYDQP5jSI0sGNI0pIl2aXOkIqpTVkeu1fCx526PvpVRJXANkPRDvWzhJszePE5BjcPL7SOXRrJxlKa+P2KfXBPO2eDw5J5HRNXyt/BFRnmqDfs9/WPBPLwxIVoxwCjYf6Vb8ucZ5mtzyvtbMTq4N5z31hx0RxdSq2UTJUdJCjmPMx1DdX202wJpRi1xXk2acX/O1ecOmQNk0VmHlnMkkabyYJjTGpE0kC5w617fbjSGvpdXmkX+flRwi0nM8Uda+Jg3Mlo1IfZ709zIkU5KV7xTSEG1yJswjhcwgbtk0LaXPbtO30c5r97qMX0zPTTQSTEWsMR5Zc7eVDJ3CoC27vNYApMhEK7Ij7PmU5xd/1ItBlTUaBP42MnAcpaLzqeSHZsXRPs67VSY8ZZaYTD70MWSafCXdee08Xx3/+WsoD9bvdbZBCCHJfWR9xetrfqYY+PjOwzayL6K4xno1dVPWco1kKLbGlA9ZFrJlhrHtIZUx6b1L2SD4uZWxGB0Za0Y7X7TmEU5MiMYpkzBwGw8wOuNnmEEzpN+KyjRWVFRUVFRUVFRUVFRUrOJNTKNzMa86TFzMnE1gRE9ho2KZLTUiomcu6nlii10UNAWzKGUvxvgba1EeRE7yv4GVQEHa9Zx08SVWf0djtH0n5QkSU6AjNzjXdgPtxhpswF6izfNMF1gZZ6UhiJLmcq0AsUWhf/EuCXwlEs0MlYmASYR9pTKr5IBDj5ZZi69F1NO5bsVEBprnUGi9bJ46WOup7WgcbbkLfV4SJRbGYU10bkTYWbMFKbyty5pYJNOYVGQ5HouN9mb7Xosej/rcrw/YuO8Wfz/1BdYLZ+MJWEnbC5I199eZja+xE2t9zzKPyWJ8LYOh1DAIQ0p2/Nq2OHcIkV0UYyfTv7+mY1jVCxl2xrIuBdOCbj0HYUSEycdvyT3CjJD/+cyJmF/wLmy2RVFs/EpwFBlQa2ySdCmlphAfFb2JKfmTjCuQHWAYRUTsjS55HicpA7XWr9FPwb45ec3zJ8xsmCmQv2dW/1LewmhvNjcdMpok9TfLXDU+sVfou2hv0u1eaAbH5fdD1ofWrgXm3mQIiNJMugQTXtt7Mj/HdW32soHHNZH/ts3oAERjRV1mhGN0hIZxtLBtu1QiJ/nAsfmeyY6R9dnP6Id2XEttj+P75l39LMTMtj4zf9RaWTu1zVNZSmZ9S/o1GbbbjAlRw+fVZ7923PE7msW3Gkysk5xzqaQZjAVN1iI0jfMrXhc/FyGEeD++st4EovEWshV4XGTjTIyX2PpWr5N9sQ422UaZ4aD0V9P3JWvN2+Nt8I/4uRlrcfxGS7g7xc+A75mz9WJ4Y1ZIZRorKioqKioqKioqKioqVvF291TnCu0DYk9g3RDFuJyHlLtsctHBLF4ukXE8n194G19PHJ2zudfQKy5FQRCpGQZ2Yrqc+Ji15tFqID1bA/dcRJWIaH+rC6pKDjGf447/vttvYy0+ByqKa68Fyud5Xo2UvBol+0qEhShGmdd0K37UbMnrDp76ms3zlPUHUw6lsCfeKL4RiHPc8Ttaa4Ro/HhJ51i49ZE+fxvVw7mBPReWXD6XIsxNC2aI8+M72Mrrfpii6a36+9ei8GtFzq1Oyo20CWDjDue0FO3UUc8ZJU1cSFF53kepWdSaQe8xXujSG0nvzN+nsjj3WjTd7iP9AX1SMzu54xpYyQZFslnPifHNavmuibxf49YLaxkGS9kBhm0v+k2h4Uq/m2/nmcjjXjB9Lf0UX8cse4IoaRjt3S/7/gZt2Zo+8FoIpPsTxg7NoRLNohUehQ2E5TwycFDi6XLksQLa/1fYQ2AeZ8kAQvRe9ELsUIixFFp+W0bjcB/dG2/f3RIR0f2HaP3fdq1cp9z2Px4fMoR4rNukbI8j5/1C/1r/rW919F3tu8Z1OO/rUr4GWT58LUfRD8c2GXjcl3FFxgmrr0xjW9I86wO3c+jWzK5dr6W53jrW+oVjRd9cnm/wvuhy0WcKJ0m/PD5ROedaN+Fp0nNMcdwZ67/mMozvbpXtFNmsTuby9HvsMYDyGVk/t5kINpNM5ixmnnouHzINmBd5fS0uvImRT+uaZd+EVCoLDspxbusPvOU18e4m/ibW0DnzNpmMOPE4mcA4btPWIQQahnO61oPua/BbwPZb1p1yr7Izb3JOX850FJZ8nIu/NRgDeB/OlgSyOlLJEomvG1mjz1LyBD4s0tZnrRfFuX4rKtNYUVFRUVFRUVFRUVFRsYq3MY3OUdM2qZ5hzxGzybgEnZOzm42gHp+f4mtDBZzNAAAgAElEQVRhFuP2eNTvgyW00TlE6kMIBWPoKH7ndHqOn+XIDYqlQksl7kecm+y9ZgvHcaLLKR5vM2n9Gur+9DvNOF4b3qUoOyCRioVoY2McSu13RNOEKMcrrqrqWMSRk6Mg0HMiot6y7m5aZnJLhiLpEVKtKl3jyTJFm0VUnY42Wue3JRZFGCUHXY91fVtx5lsprJtHMCdo9zyY9mUnRNu2a1FSywgoJHrVHPf6V34JEFFtW8Mw8jmPkz7ncRwW2GndHolh1AykdSgUpgFR0pyxMBHkWdxvrcbl665yeSRYdBD8GmOM3J9tV3xnC0gU3YYHDYuY188UGK0RathByDTSaD5u9V+z/JbNVpAC0PybI47HHAOYxNEwj8A0zzTCcbvQbRsGeyNNI4VA0zjLfdM0mskbjebtcrzQy5c4zz19ivPe8+c4Z+F9zJdgB0dhq7QexTqBExENQ5wHbfbOy8uXuA/oaeFyyPPi/nBPRET3998REdH7Hz/E08v0+2AhrcvfZPR8p34r98M8Yq+d1+V9sBVZRD0E7Wz4WlZMKp6tXd9z5hf1ONHew4X9GYxWsXB5N/WLm2anPjfPc3a9dQZOymbYxp02Rwghc7XnWntYQ3HmRN/H/tDtOjm/5OyrNVXIGgnBzn+6nZBN1gjr00iGF9ZfaS1i5lZcJ/5NXBvoSq3vhm9aWQ8iq2etZdEW14ejpmlX53C7ncYpaZ9XtIm2z5WVBnjcHb3Zz5QtC9A/WbvX66oEeA2XVDCM0Uk6ZS5gPMxZM9Fq437ie+nErqnDtE26UwgzXS5HcUJN7YH5eWk81WMvtni/7+Gmyv2oX9Y6LmV4WU3ua+OSvJbasKYyAX+97Rppd0BqyvO+Lhi32FfmW1GZxoqKioqKioqKioqKiopVvIlp9N7R/nZXODKClQPmLB8ZT874zMvLI28/E1EZDbXuqXial2NABG4aJXxuc3JTTa/4d7CW+/0Nb+/1PiWigtzxiU7P8XjbPp4LoiZSp5F/A3nbW8DWJmsQ3SUdNWqbhtoZ0eNldhKRqSK/GfoXU6cwZ0CwTx+0Kxaif4WuxuwDGrbRXMsQJol6l+5n8bgQ0fRbaRrJkfdOzglRULQXIv7CmJ9fJDKTtLPaCViimiuU3TzrKGGK5o6F7nY0rsKIZuO+QaR3t8M29vHb8V08O/SdrpEIWDAMY3Lo2pb1QkTVRkdxbgSmMXMTTNpA7nN8r3esP0ZEEBHwFlkEJiIu75uocn4cKVr3bX0t1VfTzKnSvqwwBC2fz0jbMTI5XjOji5pX/dnE6CxHfdG3BrjkcfQfY2VeG09qkPF7BJdf6MF4nxiHzo0Z61ai7uo4Tb8iOX7jonplhBBoGkbpB4i4oz/hnDDmHp+O9PQxzoOf/ibOgz/9/k9ERPT4+BMRpWwZjClWk9U2ho3hyDk5J/Md9nE6RTYTTCPmVmC/Y+3iw3e8C57bdvEeurC2cRqnwm20x5iC62Y0mtdFoHmekh8Ct82Ox2GwFeKpcLzQGWwIaqntNRtQauf1/Jmzw0RZxtTxkU6cHXU6P/Nn9b1sxyaM1Q3Pm/K6cGNO/RT7xHj3tYygayKEQGGexbUR4xaO43Abda77m/i6P/TSdujn6APjc5yr0Jcxd+G11QpaF/zD4Y72PvbBHY/fss7h4QTZbbhe+A27jpwXWGB7ffC7axrDLTDP02ptTssmUZtrSZd15oD9ux0D01CJeyd93xsPBDCMWPNiu1avUByWs3tK2p31f6OpqvB85uoKl43mxRBoGoc0xjnOQuR+JfciN8wwXop+muq7a7Z9v7/l1+x3cuB7A4xrBxYzMY+4XoOsy+H1Av+LtDaMh6WvL9Y38HOR9dGuE41pcr9GdpNmGnGvfCsq01hRUVFRUVFRUVFRUVGxircxjU1DNw+3Ep2A8xsiuRKN46jBcBkyJkm7pULDiO1kWIYUxTe1jBjznKKeZ4mE4GnbaBRl35rhwb6Tvocjg62XCJ84PnFkUhyPnNY2XhuOnDCL0CtC3yP6xYyJRES+zWpqEaWccdFL8PWAVgbXEBGfwn3Le9ERYNtyt3GiddQ522gjce/zup3z2oxwx03XBsehdQ5dt41LbfytdC5w8UJE+eWR9UDPkRF4OT5KH0YfsX0UW+uWWn6O8/mHFFVK7HKj/oZ9XS46otT30Gyg3umy61gIIdM5amdYMERJM7GNnsA56BoRwdU1KFM0eydbG623TCHudXvvW91yEYnr9hLxk/pSRrcM2KC+6J1M7VbR7oxDckzEtQ+mXy9oJ7aAdYW0JzNn9f8KFs8E1q3eKxgtkjM1TVHnr+1biT73oVffDdB9mAh58VtmXEKf9a0vdDtJz2r0Tiv3xi9FCFHj5oz2W/oJ9H6ZfgfjytPnOP89PX0kIqJPn/6GiBI7iPs/ZZWwlp4zCnrjvuucz8aKI29PfBw6a8Hq4uCWKM7MfG1EixQCzZPWeGPeQVR7M90oQY90kr6w2/F6g8+TnvV9633yX2jZPbI1zOPuAIdH7ofNci01zJOYBx6fPtLz8yciSowu+hnGGGQ2NUY/hblMsmhMrct5dnKdMe7lbUCUu8tvx34FmoXRRibLzQ3rXt8z0ygu822RLYRxFK/BaKCvP3NbWq0gNI23d+/575P0TVxP9DfLvGIetB4Zli3Ks0vAFFnPgR2/bzNyro2obUvr2VbqNfJ4Yl3rG1+wgLMZ6wA7pose7xTbHOuc8Aw98FCwWeKSyuP5DeuaDw/M0ol2UddutTrcacERVbIC+P46Pcex6ni7DdMIp2usE2yGFq41xtDT6VkyCuycDi+LpAmP98TNzUPcskYc7+9v+LfgKts00jZgGnFPYHs8xowU6/GCsRvHbc9jt7uhwzn+rmT3MHA90e+x729FZRorKioqKioqKioqKioqVvGmMLdzRF3fSvQNtaMQrYATHBzgLqeLuKUi8lM42kkNO60VLH+7dJaaOHrfeB2VS0yGjphIvTxo0YxLIqJRXbeTvGTnYtRg7w/SBuo4Noo+ESUdnzAxNrKfHYw30bDEmmhWCXnNlxPcxLSLFSJWiGTN3pOfzXEIE6Mj6mt6i8LxM6traJ0Wbe42Ij5b1qNyLtMfDai5xbnkptbW6fQs0WZoaqz7JjAZ9tSy6YldhctcYvic+7qbFgC3L9RHA7sAFi+vdwpGuBPXM7gH43qgL2/HfjkqzweRZdGw7GOErN/tRW+FCForUfr4WTCK6OdWj+gN845z73a9RODy9/LPWrZB6rINmq0H+5K7BmJsPL3oOrTJ6VHrILfA1/rObJxGwzAVzqa+LTUpROleLRz8Jl1bqjsmNifcsuun6DmQocFjMsYhw86VbocYz1D/skmso9HvOFNfcho3bGvvkpaT+9wJY6rU5Ur3tGUKbN1VC2EQWs68YAb9cHjgLUeVm0b8AZLOF0wX9/fxol4jMo6IOCLQuA+AcZgKNglZLzuwknx/XzbQJKHGGu4ZOGNeLvG+TRkdeTtz38BcavRy0CGBBRDWhPtUcr5mbSOP+afjkzBmWNvgGmLMwm/ItfVwbtVOz9MUzOtRavxajVVRR9LoU68JR57aTvez2/fcXhnDSMT9eDZZSkaHnjS+vG5khvaF2RS0MT4PF1rvferfrR7PwdCcj7EvPD5+5G3UBkPHm9hg/Rt9fyiy4ewYLdfRacbmegg0Zjq7njBWat1irhlHO0gCiWH4JSus16yl9DEem5DxgDku92xIc2e85oc7rt/KLDP6AjTc4srJ1wSZh5KROIyygAbb5of4G1hvHZ/i8Zw+bMM0QsMq9z2zgWD9U/ZYygZDZlyZwaF12z2Pybe3kSG/u4vu0+/e/UhERE3zKyJK7dj2iZ3HPj9zpslPH39HRCmz4cxsIMYD3A+JedSZKGNzSePSGSy9dnnFmIff/lZUprGioqKioqKioqKioqJiFW+kFByRdxKlQP4xNIxgGL/8lJxRkZOLSE96kucnZH5ynvlJGgwJgCd+qXvWplx262IkeckGiBCIaxyidNAHTJoRmqdRPiu5w6cYbRouMZownDdydyIiRymCGw932R0wZ/TmYNgOnJOcm665hog/IlFgRia4NuFYnEu1rTpE8g2DYXVSRtuXjlfrQaNuk5kyN5h9IPoXjwu6kGvDEUfy5mWWFMhrg12MC5x1I5R925pztk6jbad5LuoySv1Bc10l0s/3AKLucryGoWnajnbP7B58C7fBuJUc+8ztcjMsOJPCAbJv2HWM7+PD4UE0NIeDjnBbVtAbVmlgpgP6Wht5bftWIqTYJ7Zg5cVxmCOmpxc93pV1Cfke7FvqdrqeXtL1aG3hlh6Ief8r+qJx0XM+1Sq1dTslqm1cVaFDFJ00jyHCRF7AFDjRIFmgjcU17qyvG+CFJdfHMM+z/J6X7IrlWOhmjpMh0DROoo8r63HFLZhP33hhVEORpcH3P0HPBL1t7Ld3rPP68OHPiIjo/Xc/EFGK+nd9J4z408cYaf7yKbIvX778kYiSgznmWju2Yiw5MguB8WF4GOSaov+I5hwRcL4+8wZtjbqB4tI5Iksp3p9S/9eMofguUWIc7dgt42nLbCufCMZEsNQvL6zdDFPmThu3hUuq1+sTsMOJebP9BK9bCuxU7kxcv0UGCdeP3rrOawPdltSi030F81HbtsI69h7aeT02Q58LBuSZb+b5GWwLa2/NnH9//72wfTfs5It77eQ1A5NYaGaEzTVC5g0yxHa7i8zH3bBTv580hcw+99usQaRfSwYWnKZRD1HXQXTeFR4UopeFVpfvWXFyXqnZh7kedWKH4SzsLNry7uGd2vfhLl6L2wfMydxumGv5uQC/MZyT7hJzhT0e3Gcy1w7bMOjOeeq6fdKEQzNsmFj0p/3utsgMsD4TGEueYxNKpkdibOP3Uf8W64ybhxtyn7TW9ImZxY8//Y5fR9002G/7jIPXyU03ZVxZd3p8Zt8w09lBk/m2WvOVaayoqKioqKioqKioqKhYxRuZxiCRUaKk7UmslnaNHMdLEbWRmorihoc8d12PBE/neI0oHj4f5knegyYD0SgAT/oXkw9sa5sAiIK8DI+Z/kBrTaB/Gk1U/apwjhrvhW0UlstEb0VjyJ8nShFeHB+0i2BH4IwpboTQ1ngd8RCGpvXUucTOEKXcetEdBdaU8nd2B80WJ5aO2Vq+LuS8RPzW9Fdrro9Xg3PUtC2FWbvlJnZXR7PnMElEG9s1F9XU57XDp9RghIshR5VD04pGBf0eUS20Wa57JMqcupiR27MekDhXv9/t5ZhQ4xEZAojW7kSfAjZ/K02jW3SgQx4+jjXpGA+pBhLrAO5YT4FopzjKmf2CaRR3OMOsee9px2zC/Qd2PePIKQD2S7RqRhd5PkKrodmyeQ40t9ZJl8cm6D7ADG/k6AkUbKjZIuLbNL4QbKf71jDi4p5qGNZJ1zjF/uY5yH0l7AMzh+NR13TD9cJvpsgvR6K7i9pPt+soHMDk6OOezT62QuDfsg6vAM4V99U8zZKtI3UAxR2Px1DW3EC7csc6mXfMLP7qX4/6mO/+LOpmDvfsZNi30v5gD+A1AObx+Bgj45IpJJFxzjyAAx/qse0Ty2SZC8w7HVhe6Ec3YsDmeV50Us+RWOisriR0Yjyv74xzrDie8lj48D2vKfjef+bxB9kG3v/1ooYy/g0uktoVGhB2dmdqDuL456D00URExFOmZEDJumTLrBCXmAtTK1AcpzOdnc2qQCYLxmK0MdZSWGPZ2sSiveV5c7+/pfsP8Xp895vI1mDuOr/oDBtck4It5H1CP5kzkZjH+x18K7S7pHVy3wIhBEngQjvgXoNbKea6aRglE8xq9sGQC9NoagTK2mNAzVjWBbPu8PHxIz0+xpqxGBcOXNf85l0cFx5/4uwmXmPa37DrH6wrmrFJ2kmsRwewyo16LXPIleG9p93uIJpGjHUYH8jMN41vaMQzidNr1SVvEaJy7YbxAR4SH3jMfvfDO7lef/rr2ObweEn161/UPrBmtP3cVoYgel/UGwVjKllZ4lHytjGkMo0VFRUVFRUVFRUVFRUVq3gzpRBCijIlJybNNII5mJpOojWpFg5HEjpmWfAkbZ6woUtARAD5wFJnZjjLd9oVvZvVkIljGjMZcAYbOeo0EEfGxou4V8JZ6PnpkzqPF47WIgf7mvDO0b7raMeR6RGaHWc/lz4/SbuM6rgQQULUTxwPxZ1QR8eXXGptJNTWSsP1x+dQzwfMw+WoIxpg3rz3KRJs9H2prhDnxW/kEudcjLw4YRiJz4kjcay/QJ7/+XyUY0EEKjns6RpaFoigIorVdZqBnOeZLhdEAvn6zbFvCtNpouypFiS3E/dlZ5x3XcbyNSaqLqz54eu6zl8K1GiUqOKk3TnbogZjlxzb3sHBjXWPoj9EvUM+T+hnmGHHtUm1Y0d5WzQY6JfGLRI5/2inmVlORM5xj6H9pMbU01EYCfQj1CmU7AzDYG8BpXmW+8vUNYMj7Ogy10POWjB6uymr6UiUGEdbmy+5LKO+WKO0pPnfirFF+ijxb4KpRWSV2w9jjkvR9cLa2rTDVkyBc/EcLdvdG+dCMJ+7mx3dfYjRe7QLmC20Ofrcux+jnuj+u3v1ufe/iszjPbPjPVjMEOg8xP6JPog+Dx3+IO6GuhYt+ipYCusMvr/d08MP7NbK9+G+4ywTvofweguEEOJ/xpXaauiHTHNu65qBucUW64sbrjn38ENs7w+/jmxAyjKI209/80m+dxDnRdZ43ca2gWviw8MP6n3rSou+L/dJ5laMrAXJCBi1O7QwgCvO3b8U0Xm2rIGKY0X/BOPXdo2sLbA2kuwBjIumdiJcKbEuy+vzEhHd3sZrcTjcJQaN2TfMCzieuw+sL0NmCfeF25u4j+d7rq/Jrqqog3c+Hxfdy/Nzluy2jTMW8DtgoK0uUZi8rineyxlfoizzRuZW/jsyBS4+/7O4zz49fZQ2QvbDLWcz7f4U2zxp1T+rfbQ7Pd4B85TuT6tVl3uBv3PLbCZ+49pwztN+fyv94nB3q34f9Q7Bsr6ER/muOC9DB8nZH6jH2Jl+jLHlu++i/vz733xPREQ//DaOC+9/fJ/1Xx6XOGPs7j6OIWC/1ypCYO1oa6DGc/qgviuZAGa+to7zr6EyjRUVFRUVFRUVFRUVFRWreBPTGEJ80gVLhcgzomKIVIIpcN7TyFrFZ3EB0q6YeEKGIyUiaJ4DEsg5hqYDfx+Gk0QDxjF+9/jCLkYvMQLy8szsELOF4pjUa5cz0QfwU3sIQaKD0EAActwcRXti3cg14ZyjXddK9DhA+4bj5IjBmaPv53Gk40WzHvm+lpDqKyFay0wINDbMujZNk9Vy1EwDWe0Cs5pwQBRH1klHhJMrWZvq63nNjFk3wXnaJvIUfzO1EVik45FrSHFfyl2Aob8FEDEFw2jrN4JVSpoX1h9JHbXkLIl/w8GwuXDdHdEJ6wi0MLH8+bZp1efhGtf4ViJhki9/vOXj5mj1xowM4MVVcFn7iQjdw4cPwqwIw2h0Vmu1BCejr0MEGhpf33iJckLjZaO1trYVANbQ1iWTGmJd0gjgnvEN3JhNXT7/5mSPN6Go64aoL8buLONA6RupbNs1/bboFXtkGHB9M75G/a4r9NBpDGAHNziPwlVvhvObzohojcNv27WZFkqzl3ldRKLtnCadc9R2LfU8piJD5HbHDo+Drv31w29/oHfMaKE/W5YbzMqBdTAHdq98d3Oj9g0N4Qg9/uVCA//bPcSodeO03h3jFdwaMY/g+O4PmBfj3z9jXj2fqeNz63HdVpyWcbzXRgjJYdrWucXYmJzaL8ICJkdmrjHHTMPDB2YFmUGFvhl9V+ob8xYM1/3dBzqxgy0AZgzbh/cxO+qG9abiTs39FIyvrJ+4v7ZdW2j9pe+u1EDeAjkDYfVp6X7mc7mMSSPLY63UfOY+AhYHWWMY78HMAvCa2GWZYchqgAYP48TF6MrBqO24Bt3MbrP7GYxS/B76wcvLo9TCA6A97sSLAPPVlu6pY6FTlfEMdW+lfnC65+z1R59KbsB6X0hPE8+Ls/VjmGR9gyy7L8w8oo4rvou2niZ9P4oLrnGq7bpe7kf0H3FDNz4BwwZ1Xomgabyh3V47pmPOxxx3fAJbeCP9U9ZgQ8pIzGHrxOPafPghMozveIzJ2XncT3C//uGH36p9Ilsv1ade/g3rlBrmqdB6A3Y906y4ja/hzUY40zgVBdltWhAWsJ8//5E+f/4DEaX0Tlmwir0yRNK8wOAHOQwwWEAmu+qd/B1pqdgnALEzzCZSgdeYHoEBWETEZvC6vX1XWBmDJpbCs6bsyDXhKD0gEpUPi0sThTyQtCkljCizYBazE22ZLhbqPMBD1JwXE7apbITMP6QDIf1JzHfwEKnt86XgvBS5T506ieGR+jyr15vCuVSgfUSKk35Iy48V/Qf9zhZgTYUUtA0ygIcmSY3iBYz3XgZcpPKkQrIwreAi8UiBNSk0sykaL6YL/a5IA8JDgqQIb5x+QxSvZ9MsL3xSwe24yGr7Nns4xkOPfk3G4AZ9D6YfLxzUQQoeJlXv83RdDkRx/02pT8sp22Lwgr6CVDJux8t5SAG1QRtmSfkFEaVv/NCIdNQsRShutYlNPDb9oNahqDQ/DFqb9NfKeCBNvdv1yQAHxltS8ofNHSb9cIjj7M2iRxbeTVpg2feS/bieUO3xXQsoS4Qg365DCZlGncstL2Q/PNzRnhcB3rYhHyvSPFs8nIkxw/IEj+9N8yxSBaSM9uZ4WmN8MBozJvt3PARfpqn4LH5rNAsUPNReGyEkk5gQ9LiFMRDmYHkRbzw02tQxu6jGfYFxZLykhyKi1Kd2uxt5OER/O7AJmQSnjZGJlfXY1OyvBTWwqB9MeZGtHhpDCDSO51TQnNsDqaYnXifg9eU8JLMxCSLFfnP3TheBv3+J1wel2fCQXxhIQc7RdvIg+uVPcS2HQLWUQoG5E1JiX45q30hZTunKqUi6DVQfDhyo5H6E+QiB9msjhJmG4Sy/j7YWEyQzB4YQUomi06C+k5c5IkrrPtnHBEnWpD6P327bTh7aU5konfooJUr4XrKBSZA4MN6bs7UcUrr3QfcJZ+QK1rjuWnDOUdv2WTkTHrNRdgxp9rwGiMet+8co6f54wNVrajvXw6QM54Y1yPHpJMEOBME/fP8jHyckIjAb0msjBBXtQyOCAJfTWY5Dnp1MoAd/d298aKzpqRUVFRUVFRUVFRUVFRWreGPoJJolOGPZaiNMF44wHI9PEulByt6R2T5ElhPbx9FQfip+uI+ULlIZwMbsb2CDHCSid2JWZndBCoJmq+Sp3UTnrFlITvla+2wLRBG2EuwSZelEWRQ5f53spL1EuS+8nTqTcsjXxloaD61OA5iNucU0TslKfzQF5icdUZF9X7C19sAmvZUy++0G16zn7bZFiwHnPXV9R+eG016cPi6b3jRNk7B/sykmne2ViFJfRlQbkWhJkeKUaxTsds5LRDSlqeJeeuTj4tID53i8kmqGvgwxfYfIFEf0+kMqMt3Z9Et99GDYro0Y5euK+84ynEg7p89UpMLPhjFrTfHt4xOn1HBEGkzj6RSjpWCQm6ZN7CXYkkEbhohVeKMZAptpgXtpkmLGgxxHKnWj+4hNz9wK9phxsYXxW4ie4/o3rTYZsumqBdNomJKUSrqQ5obz7nW5Dlu+A4ftjWkIUqOars1SXvVvWCOXLZnGw34nrCG2whoyU4uUzZyFQyopUlglmo35Efcon8sFBe3NXID3n89n2ScYQowRoevVd9BOo6TRM7NgyjJh3mm8FxbS/i0VJmeWacN+bVO7k7EaswRZuZJkO9+pz7TWzE9M2y7qPNDfMLdJH2LGIv8sIvoYX9eY+bWC7HlJmwAzKjH30QXFJf1wo0ycyDSOsn5Dtlb/KUmPiJIRGVG6z5Gt5E1f6Uy5FoyXKEUQpGSb7n9E6bo8/vSFX3PhdL6OYNrw/jDaTCFTNiiktSDmdlxPMMjCUjML5VdSsX8pQgg0DpeseHxib4lSyiaybMZhTCZXJ6Q46xRzm8aPjLh8XRe/h8wbZtx2N3LekzH6S+s3PfZYAzDvkZW3499Ma9FgUsvTd3RZoreyX98OR943xRiI9Fikjtp2yoH7FSwp2vAMNv5Fl/kSQ0i+Vi9fnvk3ZunXkunHDOLdQ+yDYCKxFsG9hbRaSEIAHO80TGk+BHuLc5IsQ17n1JIbFRUVFRUVFRUVFRUVFdfCm5hG56IGAE+7rRTz5IiQMYZAwXGiUkuQIpKmsDcXEr1ny1nRGSIvnp/Ep2GS45B9dZqlsnb2lsWB0Jkk+p0ilykyCZ2MjRoS/307ITqizYPZXoxxgXPZ8YAlQKQS5R122nq57Tl6bCKuyYI/MaizmBdpu3t8VrRdUtZD6yRtVCc3wsE+EZVyBG2eZiWtHfa14FzM9RbTDhS8R4FrjlQj+td3FxpZd5sKCHPkdNJsAfo82PIUwbxTr/Fb3jcSGUdEHHoCKTYrzCxHq9AuTjP22OZGTmDGRLhuthLY3cxcQUf5QkC7adOeVMB2KvoQIHoPYdB1QfPHjzEiDYYW+5Ti2NlxAGgHMI2dGeesVXUqOVRqem3xYgvR7m5kzkIU7zNvWEIp5MubvLyGjRwjWp1s3XWGiQDfC7rfIAraNE2pVxL9odbPoO/ZLIZ0TrzFeTW+0Enm5/+3Ae8c7dpW2D/L9LXQZqGw9jwXYzvGdDB03oyVE+Y0bhcwkzBAw/Z0viRTEJhNsIX/3Z6ZHcwB3rBtQbc5mm/K+r1lUcE04lyx72aDeRGZChhXMW5iHMWcDUv8tutl/AP7J32S+/LuoM1OgMlkOIhuKTNXKspReBRYh/8CbjI77zXme5qBHC6j/J5k7RjmDGg200QHGseLlKbAuWHcAjMDo7L+0KfSRSZ7QdYWxOWHeFw9sNZzN6g6fB4AACAASURBVMb2gjY8GQSldc4wYPzm++UMLwxdiiBlJujsMcCW8gohyFyJeRmZP7a805aYw0Q0caYeZxGdOFsF61y0yzSMMoc76VvEW/lH3C909ifNaCXNPfSJbLx1uBOjl9H4jSTdL9YRYIR1Ro69L/Jx2Gbw2c9gmb2VphGYR72WBYubEnJSO6Gtkv4ZWQjwEVk7b+J9sAcGShx9Ocpvin7VMJrJfInnXqPbJzN2yHwIPXHXFs8mMobNegx56zxZmcaKioqKioqKioqKioqKVbwpTDXPgS7Hszw5W70MnnbhgOqcl6ggWEdEJ6xbpkSw+PNSfJejPGAYu6xgMiIeN/eRhbwcWdfHmjMUJcVvgnUA4FwIxrERlqZfjVDZIuJb5bkTEU2IPEJTaKLTU8ZSiKaElqMGiJIQ9D/CKHIUJYvcEyU2YZ7HFIWZZvWdPPJFlKJWiSV43Y0zRQRNO06IvoLlfHVXPxORjQGbAsYR0dDGMHdt11M/cbF3k5c/TTq/fM+RcLj57XdJa0OUHILFRtm3GcOqI23QrngHB0SOPho2XXQycEjNWCFomyTKanQedh/XRozON9JHkzMq+tWSU60u0YNoWWOcKdEXwcxa91nsG23QNF2hV8ZvIPqX+oCxLTeQkjJZFBzHA6SyEDrSuqV2N4SQRXa1U6xl/9susYGu0fekZRitVssysEA+pthgJr7jTLmOxAQs79Met/dOxmA5N/tdWP9vlBUSSyR1FAZE8/m+EgZW6xSnMAt7h/fAQsLhVJhFZhCt9vEMphFlDpjZHoexiIxfmNG58Di947YGO2hdue14gPOYQ5DjEO2UKb3RNZpdvS4cNU0nzAfGTzgy7lBCK5tLZH0hJVqQedOrLQC2a7aaUTACYHicyzwQtEZb7nEzbliteAAzjxIxA4+Dw5TcSs/QYsP9E9ktDXZSNtMVEDWNgzCbzkXnzMTKsd4v01Y5r7VvlkXC2k3mnZG1nB3fJ2gfqx2/hKRpD2BmOBPH2TbVc3LyIgArVmrq0J/Qj8AwwvUSfQbrm82AvsbXGho5lBnJteHyFWTHGBdUyVBAyakZ44M+B8kuAfO+u6HpVntQYB7IS4PFvzMzjHJ5JmMvsYlpfIEOOZW0Maw0Dz1r4/8vRgg0T6Mw15cTSnHxGszMdfM0p7FgWNZwFusnyd7RGXlgzsE4xt/VTrmpVIpmFKGrTc8/5rQMM+tcvr7SGVEpm/DnueZXprGioqKioqKioqKioqJiFW9LiA+Bpmku8nARUUbUAPnRFIJEdBBhsGyHjbhbZ1NAdHMBurmpcDTDAzP0cS2zLXCxlGjdpJ/qx2k9xxeMjURLGh2x34qV8c4hAFkwutZVdZzm5KZH+m/Oa6YBpxZmU9vM1DiTaGAWaRG3STCNpkaQrZ9lncpsRMM5L9c/1c7EZ9gFdlzWtF0bEk1jrQZ0BKmYKrNOvs1cSLW21Ht2o4KLH0cuoVOUAq1SNNjsu2nJzV79res087hDzU6O+AqTZjSfVosbwlwUw15ibeK+t2HPnXPUdX3qF6Qjd+OsI5y4X4lSf8zfy88hRT2ZmYEDHde3RMQ8v1+hE0L0fOTodXjRkbmSMVhm2uQ+neb02da4woFVMC7FV0cIUfsy6ntv7T5y3qvah/mxS18y2ixh7lZIjzSmLP2eZQggRtIZHfJ5w4LlDKroNhFdN2Pg1mOHd45u+j7VNeO+Bp0icgFG0VGlNmmkvqp2LgWj+MJO5HDZQ5QaboinZ7jzQoM3CpuA63jkGnaIVsOt8vDATB2/BmuYM6JEuqabrXEMxgDOsHZMuSbA7qWsD61thLN67lJq3RFbqTmq+9NofAKs3tsyAvM8pzULLffl1/rfkhaaKF7b4xPqC6KetT4+aEYDbdu3cY624DtqE/cf01pPipZDNwpW17S5bzTbi7YfjO5OMpumUdZoGLMlW8WsJwsH5yx7jChng+EN0Kb1qxw3M2V2bbSxzg4Qd1K4XHI/cVMaf62eXrK8pB6jcRmHO6jXrK+s2XtUL9jLHNo2rHfs9X0GFBlCYZnFJMKY3RSTgdRCNrrercbsQIGmeZR+dH7BvPykfhfjWgihWONb7T/G2dHz+oWvCXS38neT3TdeBnEwtZpp3APJybxRx4X3wRZOxkdkHEbZ12jW6zLWjckT5S2oTGNFRUVFRUVFRUVFRUXFKt7ENAaKEQz7xGwdmSQqFsoccNENXXQELXCk6MD6L+jAECER9uHCUZisxklyHUPevz4OW/dnQlTK1DySWpHzXnSZiKIIozNE9mh+g27vrYi5315pFokybQmio9hOk3wW+kPRKkHDaCP3Jmpm9YqS7zzPRfTYsgSpnXV7Fu6UYJdd5gSKa+Kg1UDECWzUcl2fa8G5yJiA2G6y+m9EpRtp03bUiKsY6mtpDYetPVm4iBUJ6SlautaflupLxd/Q7pPlNvXT0i1UvxZGbUE7cR1ETZJz2n1NtA+I2Msxz5IVcEF0b4LGRrfpershAqtd0kZKuqCUTWD3GfcBXUjwOC7NxFoGsmn7xIQZltK6pG1l8BkoHn/SD2k3SBstdY7IYaxYufyWYbRsUpERgShoM2c1MVeuk3GptKxmyW6WxwDWQeqJyT0jJ7B8Yr8QcE8FO3iBtpW0Fn3O+ihYUVvPEOzky5fIDoJRtAzj8THOR6hLl8/BuMboj+IQymwCtLq3D5E5uPsQ57S9cYkUJiFjxMCqg7nD9UgMGP9m+7Ykpm8FdNE5pKZuD9agrAvqzHFOJx5Hub91A1wKwUiyMzz34ZFZA7AHl8tRar8mvTBrRYe9+u60oiPDvuQaY3s6JS2jrGk0w06iE9su7h/rVWtdGo4Dx/f0JTKO8ziJvvFwF9dON9y/5LYztS+FXTK6PPRp1OsdhoswneLgLq91dgrWIBj3kfWGmsjw1sD73a5LmQp+eU7Z2smTKM7NTZfYPqLctdpo77N7PDnYo110n8Pnbpt4LcAoghUG+mdkT+2p7zi7gbN6UPMZtQNxb4iPwFFn9dj6jmn4dRnTqzV7gK2VfH3E8SP1Y2RqQUMefx9jYbfrZFxBFow4mvI66ZxlCBARPX2Gn0J8Df3vzXRQR7K0ZAFjjPEe63d73dBXnNfPISPqlS44uEPHiXsH6/B+p/vCa6hMY0VFRUVFRUVFRUVFRcUq3q5pHKfEjJica0QHUG9tGM7C1CEnPbkasiOUiTz0O10DD2wiIklakwTtk450IAqG7cvLZ/XbqR6czo9H7vbh8FBoNxxHNxGpCiFGrmwO/bWwpJW0tbtyVzsLq1G0zoKTn9Rr0REsnA8YsyC1gTiy2sFVi6OyiPbNpQumOjZ8n9qs1uEya5EiiFtFnhBRXWY25DO0/P7Se6lOqI6OWjZM9CJwxAuZVmHSUSGp0wWHRjBnosnRLG9yJU4RYmGMTazIOgVuBe8ddV2X6kTOcEKNUbOp0X3B+1IDUTJkWjeH856sTpl0ZDOEkNrY9C1b0w0o9HRG3wx9iG/9qg7Caoa3giPddIhgSl0qcy6xf+BYwZTzvjrD9pnIdzD6GVub0jmiEcwN+ppxT7UandylkihFdUV3lH0P92bp8qyzJ7ZymsRxdqbGomgaL7p+q/eeMDKez9DWcA2vz3HOeka0GtF8uKPCgY9fp9q4ydHauqemeqPQbcfXx3eRfYAu8oZfS/1j6xI4TdKEibnTc5DM4xsyjUDS+U3qeLvsvsXH13Q90v/ZybPf22yMWX0/6YQukn2UxlVeR8BLAU7cM7cn3xbJzVC7kJ9Paf0ClmcymRIA5mTxj9gI5TjGrOCoa+vO8yz3LMZFON7PM+uwkDVk1o3oy6LpPGkHbDs+EyXtepoftZMn5sPTUY8vKQuIWXfqspqx+rOSTbaV7lwQXUXbrE44UX6/lvdSKMZvrBsw9mqWstv36nWaL3UGR9s2sg6W+wkVDZhB3t+iria7MbPz6Mvn+Ju4frhGlM194jhsstXQ1pJ5Ni6vHX8p4jGk8eECzfgF7DZXYDgxO3h/oBkVHDAu9rrNMaaAaXx5iTWi0SfBNFrm2Lee/KTXDuJ6CwYdXgyPuI56LMc+Z8OGj5dR7ic8H0nWAo8lqcrF2+qQVqaxoqKioqKioqKioqKiYhVvrtN4fjmrqCZRysXHEzbqIV7Ox1Rzhlm/Z3bdSpo75FLD4TQ+HT89feTPf1Kfw1P7OF4kEoXoEiJ/iH49Pv5EREQfP/6ej+uJzwMRYF1fBlG7cRyyekjxb3gql+gJYxOXOIrp09CHQPci2gmws4iMUVhlPNcYvBTxN/VdDIsYQifXuajLaXVb7D7pZs00fPVc3TIjg+NKtfu+fZ9vAje2PW+p1yOsbtLhiYaT+wIiStDljsadFNpH9HFx7jqbeni+zepjaoYVv4X7aDLtkXRc0DPpWkmx3iYfF9zMVrRptFVk1blYz0t0KWgXOJUhepqyD8paaMbJVBzMmK00LqplvdX0vdbUZ8U+pCYsu/vJvSBufoYF63S0sMlqHgLC8CGCusLaXQ2Osw1M9Bx16MpI9VzWV2Wpg28tm6v1TUkPAjdl1p2if3lPLUeloQ0bjXbYRsyxL2Ce+Tp+JSOg0FSKzlvrfa4OzlTomF1rmbkYJzP2Zv0H54lMmqePcc78+DdxvoOm8SK12ljfhfa7aMdJMGGXy7HQCqOmq2TScB067AvX6/QS5/G791xH9kbXeg0hFM7BaH7MUa3VLF0RjiKblzwLdF+2x+Qan7KiRq0VQvQdmj2rW5uMxh/X4eUlZSvZyL3UyOXMJri5ilZUXIaX+ynG9HEa5NySJlvPuY2wUm/TI/1c2Hra+P2U6XKmcYzHMhvdtLh/8rEPhj0Xve6LXr/lGjm51tjnqDNwkrZRz5eYt8ms4zAXd1NPndMZJbjmhYa72Y5jCTRnc7bOqsB9KJkKjZdjCqZ/E2nd8v4GjrZcvWDWbsDQ4wFt39GB4hob94Aw5nvMjzt1XHAglbn4Kb4+PusaozGji/izK+P4ViL/DMp9Vu4znbGV+1RgTYb5HcwzsjzgTv38GJ9/0H+T8772PMhraNqsHG+0+mdkMzyxCy6vNaBtxBoF17fJ9LmSFQBHeWRW/sI2rkxjRUVFRUVFRUVFRUVFxSre5p46BxrOF4kCp6dzXVftwo5Ex9OTsHuo6wO3osawLyl6HZ+8wRIiYnR3/yF+r4Gb6iiRKLCXp5PWLCbm84l/W7ud2SgHolWn07P8DmrTWP2E6Hi2yL12jrzzBdNoGcc8YGCdVdOuVphGE1lN+fu6RtA0TsJOIPJUOK0anZQ4RYqUaLl2Vwip1lWK/HDEcIYD77Z6O+ccdX0nTneS8482NnGVMKd6h9Oc9C1EGbNhakZZHQXaAf00RW+7rC9qDTDuLak1Kr+x7MznJtQISvdLqmmF64SotXZ5Jb9NtM9RjKSFAHbQ6Es6Pi4HMV3SQFhGUVxte+2ciCwIMAhwosO4gvpcfb+Tfe0O8TM39/FeRwQV0VqwzuK8au4H0YWAPWsa+U7Bzpu23SJTgffMx6HrsQLJOTfdVxMi60YTZ7WAojM2+rqks2MdRpPOzeqFMGegjfEbtm6VsPXG6TeN3USh4b+JrkdrK6XO4LBNtoIj7YJ6w4zehIi00cNdzoO00ZEZxc9/jHMYGEfROLJL6gtHszFOSb28l0e1xVhElGfJxP4NB0nffkdERAccF5jYUV/XVLcTNUebYsxAn4db6g564C3qFztHvmmLuQIRdMxDI453DnLNj096rYB2wrgyDMyanGLk3uo5sXb4/PmPRET05csfZf2BTAm0N9YMuMZpTta+AjJfjFoTvDTXJdZLj5ntRtrR9LvLGR0248O5jNWVbIFRfQYQlgvjBVjzQbumos3H4ZL+bXToF5kPrY5aHx/2jTUh7omu20lfBmz7SwbJRkkhIQQax7FYu0nNaNQMlPVEk62xtH7bNXErTsJ8L1iHWosWzGQgGpBZw78HVkucO42GP51HeV5ERPS8sHZbcdKllXXstQAHV8xhdl6yngPjOBT9AXpoaMEfP8Wx98uXP8X3Recbf+PxMWaP0O9Y687ZJb5xdOZ/Y6wAW/n8HLcY55PDO9cA5+wF9JGipmh+zxX10Q27+8b1XmUaKyoqKioqKioqKioqKlbxNqYxhBgl5WjFPGlmRViszD0SEaLTWec3e5Ozn7SKWsvim0Z9Dk/z43Cm8wVaSs1iIgKJiN/t7YPep0Rp1iPPYDitS1c6V1Lba8Nnjp6I2mLbc5sMYKgyVnLymuFYYzZaqUcFvQszNjvoy+Lncx2QdZIT11zoB4yWL+kVl6NGIYQssoQ+pVm6reozAs45avtWzsXmn0P/l/r2lOknUJ9SO7fhmMGSWR3GGZGoAGYNv9kWUdncnS6HrVNVRH7ZyQ/HNE1D1qb6nMCKibZyq5Cqc9R0rdQWwnG0A9pJM7POuVTTs9VaDURfwQqiP4MtublnZzC4PDJTBX3e7mZHOzjKmdpstu5imC0Lpt2C5fSy74lGT9hIrWW0rsbXhnPxuuKcbERSak+KW91M5NBvcd66n2BMGFkDlzRxzBwcNdOIQOY8hdIpklkG6GTEodnURhOHuon1GOL2l+4T0ZoYB1ZhMIwO8NpwzlHfNNTwCe+ZbTteoKtljSPY3hASS3tEdo6uPwrdENocWhYwCs9fPH/vpL7XNi21HJXesRM5GMb799H5++H7OB8+/BjrroFhxz1l69ZR1uZgFoUF4flj38fvHvjcD8Z5+BpwzlHbdolhNH4Jl1M8P5c5QkKzlZzTkbmhmUbn4j6WdNVEyf8AXgvn84tcHIy9+338/cMhbq0WGtcyaW3N3GLWUTjnuNVawtbosK+OEGiexiIrS/R2Ur+Y+0zmdC2MtenTosPjexracWwTKwg3/LieG6e0jryYjBt81jJFOC6sAdOaj8cf3h80jjnstW9X6iVeD0G58UIri34DN2DMXdMwyT1arAu47cXJWzL4uK/y5zCeOK/7T5hDMVeAYQS7heOwbvpWr4hjgJY61qLU+7ZzrWVGr42letVEWeYEasAaBjJHmsugJ9e6WtzHL8wWYvv5098QUapF37W9ZNQha0HqwRsmtGuxLmdtttEDo48stpu5d6Uu9s/McqpMY0VFRUVFRUVFRUVFRcUq3qhpnOn8ci6i1GGFFZrnqXAjsoxI32lnKGgOEClCXUTsB7m+nz//QVgY6yiGfHW4xokrIv8WSVS2U6+VQ5dEGqDX1Lo1INftXAuO4jmhFlkn7praPRU6mq5tqZUaidCpxH1Z/YRELnY6wiQROo5YiIZmmgt24GLysCXSApY4r7NHJeOW9xOwbRJ9lfqD2zKMCTHHPTlfajdHaBpz7aVEhGWrnV6TdlCzpqLD4GiSuBuiLlOYC91jigppV9VSI6Y1jMnxEI6NUxbJXnbMdRuHkJx31O26Iho2XvZ8XBwNdUlXivOxDOOBmUTRe0gdLr43mD0Bk5XGiMQ0Np1lFhEpt3UHeeziSHMvEfPl4dN5J/edjVQWdVM31Oo2XUsd7x41phBRRU3MaUzHmcbxjH2kTMs56GyAyTCtbWfYwqwNoIu2wU18ttDgrLSLrfG2FC217t6iyd5K08jOqS0fM5hG1Co8swZm4tdD0ySHT+57iOIjqm81qGgfXAu4qX76Q9TLoEYYUbrWe66rBjfU++/uF38LzAIYOtQdQ7tJnTXv5T7EfQUNIzSNe2Ear+/q6ZyjrtslZ+lBs4iHw536vPeOzmfNSJWaf93Ok/RtzWCl7JHYxx/uv6eWtYw3zCw+PPwQX9/H4wCDhna1HgBgm+2Y7r2nEDQbgONsMv173G6jaQwUNfvNimN6yeSVjtFJlxxfJ/dNbjceo8HIPnD/vOV6oZ//ENvz06c/0E8//Y6IkteFzL1B16nspMYh18rktSD6BtoN/eB8finmQ2FRR+7TXMeu3YhpxJpCakue2T2Wxy+0D+a6uZ9TFgAD81rS2Wv2L9Uj5TUJ1gej1p12+050skV2Ct8bz1/i8WE9KBkpyMiBey7YTXGfbbI6kUmTrl9v71SbjwHQCNtniPz1Wv1OHDyyJH/4/s+JKF2/x8eYlXA8sk6R9bRgy/N71653b5iNRJbI7W28N5CBgrUI1uJB5sX0bCZjBn5nZU7FePStqExjRUVFRUVFRUVFRUVFxSp+hnvqIE/aqYadZoeW9GipHqOOUN3cvFO/kWr0cH43RwjBuCD3d57HlN+P6IBlZYxGyouTJEe9yeiLfGqOFHFYdhAUhnHDujKideNH+56jC+ex1DiewULydwJ0Y0Y3YVkV1PWxZXKg32r7NjkwWhc0c42sW6gUpsL5GC1pztrZvlO090Y0GLRf4goo+r5v/z30/7RPnTsOCAMp+errvyEMW6sjqXAKRFTSOgmmYyhdcy17k3S59v1t2C/vHe1v9xIVQ7TMRtyBpmklygqmpTVMsHXIdKZ+FWCd6JquLXR0lqGaRs0kJ0ZW30NLbT3TcvTO6sW208mwJhQOmEa3CRYJXTTModRczYmlJiIK52X2VGpEwUnzoF0UQwhJ58KZDKkeqnbhTI5uWktlGaJgji1+Nm6lT1xMTcONNI3p96E/4XsXmSC8HRvojRq5HmD9wL5Yh0Kpt3YLt0e+fnyOL5856s/alnkKMoZB73vzECPht+wSDE28OG6jhie35Ym1OmAvRbvrnLCY2O6kNqWpn7rBvOhcQ/v9rWRVYB7HPASdGuC9LzKEZFxlJgqsEtimpC0i9Rv4HNYtu92NMAzIhkL9S/RxGaPgeHvSGmBs7XyQsxuSIURwtIWmkdc07TbzYggzDcMpm7PZEdhmF2Qu1lYrPxoHZBzrgRlwtFe/537KzOMtM+Pot/vf7Qtm9ZH7G3wsUq1t6HlZpysuqazHM+PKNA1yrZUTLJG4McuQtBnTONP5/CLnhn6M+udggpq75ISdMhVWMlfMnJb6mvalAMQdt2uKORRsFrIbvvyJqxJwHcbW+A3YOr5OXJhThsVsNOuWxdvMV4HimjNleeljRt3TVCuzTUyruGDz+oXfRwZHf/g+fo7H5qdPvyIiok8/wXGZ/Viy7EscB7S18F95/1387vsfI9MIlh5rJ7DQ4shtvADCPKdzkBrWPP8Zh1o7br6GyjRWVFRUVFRUVFRUVFRUrOJtCfGoccJPtylqvq5Zk7poHdcw4ujcw318Kt9zrnnSE8an38Q4xmiLdaicppF61k307BKHCJF1tUzHAic06Hni37seUagU3ZCINzRhxhkU+dpb2KdGPUGWdy0mdmATwYwmbaOt5YjocbA1WfAbfNg2h9wZx7z42eXaOaLBABtrQhBB9Ir683mkw9axky3pdnV+o8gTa7/anp3K2D1WosWGXV1i4SSSapztrAubZRZTNBlugEGusXPMiEkknDV7aNMJbq9aoyHufwu3dtHGK33YMsrXgvee9rf75ChqmEZhtLK/g2G0Ud7hBMYVOiHWuBnHO7BLvdHwxs/AmRkavuW6o+nzfB5NivjG80JkNv59nubCJXVNs+E3cl8GklZZ17O8IDKNc/SO0pCn+4lo2L1xZjO1tsAeLh0DWIZU84zP32QxCHtrGAGrt1RtbQBmp9A2nofis9eAI12XsM3GZaLEuokmvWuLqDz6ENhBMJE7uFszswSW8NxqLdLhITIr8zglx1Ww89zGmFNGMxdMhiECUwn2UzS93slxdfAP4ONqZC7YMPPGezoc7sVd8njSdXKxVsjnJcwjiYlix06O7CO7aC1bhEJcG2D+gS9Cv9vLPva3XEPNMCzC6mB8E7dxzZTaLCCiLpsr8BlbF3E5++daCGGmy/kk2VjIFEtZRWBH4+fbrqF50to3qQc8xw8J4w9H2yfsK54/+isg/XDfiyYRrC7WbliziTbaMI2WUV7SQKfrABY6vu9slsbK+PZLEUKgaRyEFYcj8vkUt3DpzH0pZJ5D5gbuwxauyjzWCVupteKi78YaxM3yEnpHzIcYN0+yL8zXxtOC2Wgwx5bVtedMlGXCmQyzrbKdYk3MS/KRQFYIM9F2XG66JrmJm6w9jKt79ldAlgjO98DMObJEbn+KWZWoFTqOl+S8vIvPRXfvmWlkZ2uw7pgfkFGC5pG+UdR6zZIgV8ZkfBb39LfiTQ+N3js63O1p+oxJRNsvW8FoDgzekvYJIa5JS7SmOmK7POpCufM8ZmkFWIgYE5NXJjAIUrFFuknbdunmsscXlhdO18Q8z3QahmzRQbzVi4/8PPFeZx8aMWmah66UHqDNPpBCI+LYrxQaxo0ni+tJPxSmhxS9r5TOPBYpLbnhTL7dqgi69452h50MhJIOuddFjL82iGHh4b3u49b0ae0BGZOs90HKyCC1um21bbl9qLZ9XbJTaOF4w0ofZti0y2vDNZ4OdwcxMRHbcCkqrgu7e+9lwrbpKhdT7gH7wERvH/yknY5JvG8fRO0EhvawKaS26Lk8IMp1deTm5YdFfAcLrOC2sRaPxxFS+hKCSlhkoJ0wluQ2/3gIloLQWKDpBaq0izylkPoc7qW2a4uHRFnYmxI31oodmLk9w6DNNWJpAL3gGI3xzWi2WyAvkdSblM3GnIvL0jynFsYmeoEKHF/iePBkDICQuiYPevy9eZxkEZ5+j7emP2MRjCAIXtt7Lh97sSjFXLQ2J80bLPqapqW7u/eSkngxsoiBx85UgH4uFq5YHKZFow66IQC635sAKenU9LbtJBCC4ARhzEHwCYXXJxNwDmVpjXi8qe9Pkw4oYsz2vpe2yL9zbczzHA090G4cWEfQPsmE0jmgb9hgG9pHyh6ZwvTNF13qCfOhGO9lwR4xNdzF48FaAuvDNA9iLMe1gMnQsmQm/66MlQiQwMBnf31zp/i7ntpul9YJXOYL/fts57jsmGVc3ek2lPJIPJd2e14vmNJidl2Vz4llaS6WH9zodrhgIY59eD2G5/sBkcz5tAAAIABJREFUn+TJrvNIvZ5N+uy1gAf0dN4cpIOB3sIY6EypmFTOTp+nnbvwACrpqyyNuTvGB8F5nGQfPYzF+MFzh/ImJiD9GpaCqFnjqrfHUd/L34qanlpRUVFRUVFRUVFRUVGxircxjU1Dt+/vJPJz7tk6FhFLV0YvEOkB9Q7RJSJ9oLbl88yQQMCMyJKwI9nTcjK60XbySO1A9Mn+hi1uOcsxgvoNkpZhI1hivmMMAa6JEAIdLxc6cMFkmA3YaG4OG/HtjMkHUpBmw27No45gQ5SfG+gIs9jpFAi0Bdq9KE5sWDH79xCCsF9l+uxyKuy10XhPD7cHScGQdIWdFXeXqSlgbxuJVuvomGUSrRA57QjRJJ9FpfV3bJ9di1J/rVQJroOksMIK20TMLNtxLXjvaX+zp9HYfCOq2D/r8hlEOVPH55AxTDls/5CMBIjXcQ046n2e5ldZr1SGhVPT0BdMSuXXoqMybphyFIiyz9M2/Rq/nUp8aPZv0dJ8JYWdJj12pL/rCDTg+zITwjU2Kot20YyJNQApy3eQfu3y7zDTiLQqSQvUY921EYjoMk2ZbIAZR8PULbUHWg7nJezKSZvRYPvyJc6fz2yAY1nxeZqSKZSM25plRhpgMiThLadZ3XCq6/6G5+Ds+mJeLDJZzLg0TtdnCrz3dHN3L9IVrCWQJjebTIoQXJGpspaFJP2yR4pZfB9jlc2EGi5nogHnrEvQFDIdw0wk8431zKh03H5xK/eL32b8CGGm0+lZ1lZpLaXXVHgdwl6ORQrH8/mgP6J9YKiCrc28wTiKNN5hOEvGmc08S6ZI4+J2aOL9ZI1OcqZZTBrFrFGnKqJwui1Tdi0452i3O0i6M1KP0cYYE9COXe9krPOmzZGmasdP3PM2A0fGUfN5hT4dJ1GWjcVSHoxVWEPa6z9fkM2WMj0wh8rxGIZsWmLMroRpnsiLwZSRSTSasW26VEoG5nbIIoIMwsoexJRo1mOPmJkxq0hzUDKw/LOjnbvMemYyZU2WYI1KbfYZxrahMo0VFRUVFRUVFRUVFRUV18LbmMbW0+27W4kQIQKy22vTDiCEkEX/NOti82hRzPLdux/V+3gKHied2x/LNXBkYyF6RJQEntAqfvkSrW+fnz/xMRz5mBAhThHVkaOXvWgJOLrS6YLIW7Aycwh0GUcplJwX/Y3HqRmOcZqUcQ5RyTzKvhEBNvnZQZgPq7vLGCmJNGkGxg1GGxZMNGuFoYiCbrA2miW22JJpfHe4odNdvN4vjzF6jT6NPHRcd++9HOOa3jLpbi/m9TITCeQFkhFlRKRXotNoH2fZHETIEIHkKDYljYeNXtuyD9bm/9qIJTd2NFx0JG68cFtzPv84ltFHq3lAZBAFSWZjj24NcZy5Z0JI16UTMwHeJ8of7LUpUmPs7bGvwVjL59E/6J6aWRvPSHHmDY1Dctj2sBrRPKOgKAxtoqHp/JClgNfc1tDo8rg6UtY2jbZhx3W1xexLXXR8e7JW8dl5JOMRrXcdxbhhO53MeRhEy4jMkB1YVMPCOZ8YYLQcjvH5U2TRYGv/+NMjERF9+kOcsz7/4XP83GP8O9g2RI1DmCmVboA+L85/hwNvmUl8+D7OuR9+/YGIFoxIwLhLJslMY6FB120BhvFtsetvg2dN9O0x2tC/vMS2OR2f1DHRwriMa49sItz7yCxJ46dm/1LZGc1s5Xp8mLJMkkljDLREhxeZJM/F4nvOJHLGaGOJZVljSLcaPkIINAxnWUMJmztr8yG053DZC2Pd8fiJexMME0w8JFPtiPImYBFPap+ppNelaH/7+9b0UM6DjxdrUymTcoh9v7l9SMXs2STJZhmJodRGRjjex1IySYub7jeiVPIC7FPTNqn8gxid8bzI878cuz1m9GtkmGHcMCUwiEoNOOYuYY6NcRzGW7wvpWXOuGaT9J/e79Q55gYu8Vy3MS2LpcfmYi22tr50zkkbBl4fzBP3eTahwdYZbaPN9LDmbvk8ANgyX1iP27V04ZUAo7nskW4wpVOsX4gYiPE99K2oTGNFRUVFRUVFRUVFRUXFKt7onurpcH8Qhx9ErRH1b02kRBUUN0/IEgHiyB4iQDtE45gpOeyj0xAiqmAu82LmyAWHnTZYIfzW3d2zeh/Hl1jPozrPeZ4LBzB8V44TRZg3K0Ka6UagHTKamVxHYvVGS459+b5GRPZNdNMWxA4hZLnZ8SvCeMJlrIXuAdbL2kp8TWfnyMn1x3fKSOqy69m14J2j292Obnfxen6SKGPsS4iewsK7bfsiyjOLw66ONFsrdZzrmkNsfr9Y2/JkcW51McvXWRyNF9xfxdUVDGOnt1vodOOxOOW8Ng2cEdAzq8/MnkTwLmPRRmDohJlGSQ7oxwwrZl0pc1bVahZRjiKVXcG+LVvP9wocXI+aUY7Ht3xdipIbG7kfEi1rQ61LHM5tnGZCy0kbG+0mMBl9aJmtoPUXzvus3Y0Lpc1asJpdq9nwC4yLzWI56esCzcm0kXvqNM/0eDrKGCIlN1Z0yM5lel4yWltmY8Aw/vFf/YGIiD4xw/j58x/U9vk5vp9r7617M8au29to4/7w8r06rrsPd+p80Ed6o6W/ZHNB8GZO4H9IWY+vaKt/Lnzj6fb9rcxRLy+RLULGUfH5rN9i/DyKZb3OIEIGhzeupMW8mTFdScO4XKLHjvvJ+ZMdEnksRFeHS3EYx0IHb8fBv20ke36wgJoNvJz2aV3ImRnQcKGP4H5MxeEjQ3w8xr7++PiRiNJaL5Vbu8j1AquLzDO8vphSIOm4mdniNWIqzYFj8/JvfEYcLPn6JMZxqwwcT4f9nfQ9AH0P7BOYvx3t0jqB33vh61NkDSFLJnOyJiKaW+7/I3wFyqwwzH9Fpthk1y/xfczbL1+YIeZxN0zlmr1wgzdzx2Wj8kj5bxKRONWufSaEkNZJjWaAn7/E5wqb9ZGchfWaTTIZZS3gC18EAL8lJQtZay19lddK6KOixexSu6JNk+5X3xujsPTa8+U1VKaxoqKioqKioqKioqKiYhVvYhqdiwUtbQQG28bUa4z1A5EPDIdJdiML0B3qiFWq8YKim/GJen9AkcuScbLfsQWhUUdv1+saTXBotXn68zxmuq9GffbmnnPiuXDnVjXtppylZTQmgu2zdl77LDDOyxGV2USNwIAs6dqS5s0yMTZ3GlsT/RNNDyIuRJ5VPX5Fywg42qadnXO07zphCaBjQ8FmMI1gmPv+8GpdUpt3jtpffoWVThrJdccwOLtZLaPUOTVOwrZGpHNO7g8cvzBrvXm9g1LwuvCNp8P9TdZu8X3oKrojR3R5O0+hcCQsihp3OqLqTR4/2hznJg6SXVPsw7qo4t4YTjpSJ1rG03LR+Fz7uKrF/Yrr2XXgdA0ywx7aWnwjjYVATRwH+1bto53idwavi5YnPYp2YnbeS/tLAe1eR9HtPSRsJfaBenHcN5tMqwMXO8vWYQtmCvqQa2OaZ/r4/EKTuaZeIsyGZQ5ln8AYigjyzbs4v9w9xxpf0BphXL67izpEOIliHkXGRg4wjff338Ut1w37/s8j43jPTGO6Rum84vEvR8OJSjdVzDPn4fpMgW8aun9/J9f55TGez8Cs19n4JHjXJJorxM+gvawLp83QsI6aWNtgDPhadB7fRdbU3V3UYB5uuUA9rx3A9oMZH6SfTjQbJk2QsdVEaTzcBqmf2mwaqym8XE40nA/q2+jLhzuwenF/UoPOuC6LLnGBdZGspW5ZY4oGOfP1HU3mkmV9U1H3XbrWfG9hfSuM417//dpwztNufytztmWZgFwPj/O5QJf2qJ1ocaxYv0CnLy7iPGaK7hss95xq+645c2IsaoxeUjI8oGXEvse0/vONXpfY2ocTrwWmp+1q6kbX/uVzS9lxJfMqukGTgQOG8aeffkdERF84C+R4ikw6KkcA+boxGMdnXHOM2RhD7u8/8DaO2e/f/SoeC9YuN8lzA4D7sM38w5pxNFkM34rKNFZUVFRUVFRUVFRUVFSs4o1MoyPfNika+sB1ne7xVMzsW64HWGGQwIjgSRrfvbmJugswe/1eawfBAuS1o6Sm1UuMtkgdJ2w5Aokn/xRt5MikiS7EY2ddB+e5ix6EHecQwdkqzz2Hra8ijGOmtZIIyYqjJ6LdDVgljrSd8ZprxyC6hjY9Ph0L10jk1ltX1XQsy4yZM5G0pc/aSE/68jZMo/eebnY93Y98ne+4RhlHQxHxl4jdx71EJlPUElFop963tRUtmzoXtSgbiTQlHQxy2vdqn2gn9GFEuxLrrl1pm6aV40Sf3oNFvdWR1X7LOo23+0yrgZpnMRJmMxdyp0xh+Uzto1QLTEcmrSZJHAkviTWEC5zVLKaop3YyEyBSKI5zYHkTo4x9WiZtNpHVzeB4vGYGy6FvQn9udKzulI5tNhFm3OdSB7fVWvZ5AjMM3ZF1OPXCiORthL/lSAzxOrtFRIqtRvuLayq0jGCIN6rPCEzzTI/HI51QV46j5e9vWf9uMhPmLItEGC4eh6EvxD3w/sfIUgkTALdZr/v1al+lxCqLE7TJKMDY34sLumYQcmduO88AA0etn8/M6A1v08l8C5rG0+37O2EuULPy5SW282DYP+d90sxzxlL7/7L35jyXbFl22I7xTt+c+WW+qaq60d1qAu1JriwCsuRIjgA5MuTSECmTEiBAlBwKEAQCFARBnhw5/Ak0+BMEiCDQZKOrql+9IadvulPMMs5e+5yz40Zmfi/vLUDQXsaLd7+8Q8SJM8Vee63Nr/FOv/7E2UrCOBaxM/ti4evggQWUWpUEt0Qwjbx2sGst6l7i3vo+zBlOcLTsGmHKuj5m2uXaVFbEsZEkCRXFbLTegNnTGWJlORc3VO18CeYO17+6cn388tbtqb5+/IqIiB7f/4aIiDZ8X71raBPVbHRHOK/y3o4ddKHxhU4SOjr0A7j0z+eObXdMY5xpg7VfGEf1+tiAe6rODkKGEoB5LMlS2bijH4huu431tZiTUecVmsZWO9pyW3dNe9C9PPwtDZkToKHj75Zag9AyhnprVRMZqHbHnzc00jSVvSjqNMq1qWvp2160+YOqmCB7RHbirVZw+2U3UmG53d+19jp0LNcu+F7rGLvcgrVsJCsydmzHfNHWTZA5GbOZ+Owoi+EzYUyjwWAwGAwGg8FgMBgm8YsohZIjk6tLFzFaXa35Neu+3jsGI8sKH0mVCEOsOxQNFrMwbVvx3znK0ruoHdzawEq0TSvfAVZsu3VRpjW7cO0rxygiCoWoFN4HxtGzM4g6FBJ9gpZttXIR38uXLqogtXvK47MyA8U1saCVSZPYjRMR7FC/iKin1JDi6AKioHDE61TONqJL9eAjTkQuArV5cJE/OPptHtj1bO3aE1EsRP+80yVqW8baPrAOfd8RIco6xC6hWgdJ+Wl0dlma0vncazEeOGp9z+z5Gffx5QWY8AuJZno9EdfpkchS7MCnGUcAETjcq9D5UNccldc8XnwtTDBZLuqlXYpTcVstha2ExgQZAssLjoSfM/NYnIg9TxLK8kyYjVxpKqEdqfnYNe2IeUZkDfMAHNsQhe1F96FqUSr31DRPR9kLur7SyPk5jbMcRhqHwLkOt7pVrGUjTOfhGqbHQkLuGr3GgVnVifZI0pR6VX9LIpRgHkclv+L+LK6rmBMTz26ircAwinurYrW0BknrSFN1D4Z+kEgw6gbvt8xC7GNNY3IiVqYfBtpXNVV1rB0pi9jhuOBrr9uxXgdtl/B9Ka5iNneKaQKknQJ2YMr9FvciS+J1Tzug4joq1CbsPEOK9zb8u3cbt0Zk6T76jmMi4UwFsCpnV27eWt+7Ndm7Fvr2FcdSzq7olzw/ZJ4xJPLeCZgj4VKIOUIczHluH8jXvdWssf9N1J9F3ULouOBEyv12E2eLtG0tLADm91Q5L5Ji/48N5yo6G+ntoY/SLqptU/usFx6HOILFyvJ4zpG6jkpvvuR9ZMh+oRau7PW4nvJ+69ZgsLrYr2Ft1vMG1lFkjs3nK1mHkNUmDCMY0lXsWHlsJEkq5+3ONR7zuOVh9hXaSteSxHuh2QQwZryG0bUn9m74e1M3ohkGq6zdgfWa9SkGMtRoom6xzkrRbql6XTgWsMeaHDejrLlB+p6uyY62P7928w9ckS8unO4wrDNKFLvHEjHjOeHVATZQe6pIlljQX4jGNTK3T7ugJm3s6i9VDnrTNBoMBoPBYDAYDAaD4ch4Hk2WJJQXmTxxIxIDNgYubMgb32weRtE/H7mKNVlbzkHP+PV6/RD/tsrH7fve6xU4IqKZRdQhgabRP/njCRznBDbHO08uFi7n/Zxd6i6vnVMbdGBAfgr91zBQ1/ejaG0q7JF7jcj1vChoCwYRUQ1xZeKvZAayRf0/pU3xzkrISwfr0HpHKzjHIRLVxDnrWoeoHWgT5fzZ950wjK2KrOI7pZ7ZR5xFvwSo04i2vb1w9/3dleuPD6xplL7985lEebbbRz53OMnF+fjC9ioHSM1k9UHER7fhoVqO0fkLm4uaX3H9Mbj+lcVMzhvM4ooj9StmURccaV2UJ4qokuuzQ85MDDOOTcXnyBH5WeXOo61br68Txo7ngQrsB9iwuN2gqhN2kN8nGQJDPmIjtb5iKgoo94gDh1LnMoiOitYAEVWMGY5aQm93MiTJwbkJczfYUWmPIpdz7FUdxi5XrD/hZayB1BoYsInDkGL6piGJ68IKs6i0llJ3asii3x65rAaRYETNhbkB01HFGpNjo+962rEOi8hHfTE/35y5uSMPM0ImovWaUdfoVI1QzcB0QQYO2Ahxzk1jh9YStYbRf1X03Z8L37x+8M6JfL+2dR0dsWalJ2jrJE2onJeSKbFApgRnSOx27igsU997lreI9Wj6NdZ+sIReU479CvExqPEmfbKPPpNKBkKcVeVrICNbquPz3Ubn3XVdkHkTf3em6kieyr09SVKazZaTzuCDnB/c8L3GE+MOGUlgttFXtQsp5nLo64T9CuqsChMG/wpus6riOpHKORfMDNoL9xv319fbnktdYmj7ob3E36dq6R0LaZbSfLkY1dHT+u+wpmE2i3XIyBpC5k2izlmz3Pg7xhLuSVM10j+rfRZ9J1GcSaHnLF1TVM/ZZZn79RAXyV8t+86JPnJs6P0RxhHWzMjhVJ1bKlkz7ggmWtcnraU+cLynDbOhfO3uWDPsn03g6oz+G9edBvxYwfjYyH50ULXtNWP8Mdf+QzCm0WAwGAwGg8FgMBgMk3gWTZYxK4OIEbQucJhELvr5pWPndrsniQBB7wYgqoLoGhgmaAvwNAx2EBEl5P13XTtiF6Dz8jqY+Am74XPRur+EKYMk965nqIN18+JrIiK6euVy4AvlNro4j5nHY+FzolrQMs6KnGYc1YRzH5hGMIk68ovXorNR9dvywGHP17aLo6+TNegUDjGMRO6+4N5AK+FfI/8bkZjTMY1lnkt7vDhzTOPrS3e/768d4w3X3OXlihaPjjmAjsK7VGmnzFgHMhWJi84nQzQIrm+u7Yc+ZhKhzfAaMLAEsWtqHvRpuPhBn3nG41Xc4qDBOpVTbZLQrMi94xtHSTGfNBW0JHjdjFzgxCWsVXpDKVwWRwy9blLVaSxzGcu6TuOI3e1idkyc1YjvRaLqaQ2Dd5KDZgO1q+AIyCz9qdwPU2ZlMBeCZeo7MIxxpLoqq0AXEbvgoWm7Kf2hugZxMw3KrvVZf/C9ct/k/DBX9HhDdETPBOPVNa0wFVpjLSxEFa89x0bf9bR+2ATarUzOjYgo/+6wLpHoUOYA+iDmSo5Aw+2Qr01fq9a0hOeBMQB35MVZnIWCjKFR/xd3YH8OYa248LygK9UM8jGRpgmVC9+npYYunK3v3RHzcds1wprD0dS7Kce1V/3aFM+/XRczfEC4HvlMGoq+S9gDMPgqwg9WAP2zbby+X9a/IW5P0eahPu2pauqmGa1WV5KVJWxqOsVGd7L/qvboo6jnHLNGbQ2NJ/pQnIWBvhTq7kbO+BWyxlhDC4ZG1bsThpZfg2GcL1lPOSuEUcQ48HVpY1112p1url6cLUTvjjEWrlVEYR8dpLNhDfNa3diZXLPaI/1tEWun8yKjtoFeEutzfF4AvnPHemb03067hCLLrU1l3Ol60kBeun9fJbFm75hIKJE9qa81nqnXfO+bVur7YrxmvfJlAeunxn2m6gf78e+fUzA/DRRnFmh9dK7rK4s2ND43MPB1vYsy2ELAX6bjveHHas4egjGNBoPBYDAYDAaDwWCYxLPrNM7yYhRFRBQfkT9oHHebG6o5IvT4FLs9puyGKiyg1N+JHX/wGhEKz+J0PgqGaJfSx4XnTeQjHiMWT9gJz8rAAenq6paIfG0hRHIQnUIu+TExkGMIM+V6p2tjAbO8oBlHIKqWXeG4rlEaB+on8/NTiWwoh8gs9Y6TcJmccOWbYke9/iHW8LVtPdID4j7rmjb6nh4TSZIIy3axcKzb5ZJ1fnx/cf/Prs9o/tb9/2JxxueOPhszi0mC6B7cyMYaxhBpmgWRJmiDoEGNI1HaoTZVNTMRWZ2xtmM2X0kmwBlfC65NIppS//N0zmXzoqQs4THPkV2wE9D5IbI5W8yCeklxpDQT9kO5xUrOP7uOjaLIPnrr9QvE3+2O4uwmGQv493j+0HU3B+nf/UgHgWvSjBAYg2MjTVNaLeaiMatU7TSwuyX0pLOCKqm7eLjeYtbrtlbZCxO1t8LlYqTn7WLmqkt0jUfu15hr5Mu86zPYNjgqipaRnR2hdR/Vfj0S+rajzf1Gfh/XiPPCOd+8dA7cQ6BXnGLkEtW2whCIw3f8ee/86+dZtKnUZVSuxaMj90XRsyuWs61bzyx28b9JnTilyzomoGkEVrqGLmux96zFqus91cxEZXmsVQSkJiv0+m08lwO69m6aZuJk7TNptAv7Ycdb707JTCP2OIHL4ZQ/gJyPqr15bGRZTpeXtyMfCK/LDxzQyTF9wjoOsVM0dIjdApkk3C9nqAuqdPzIIsC6UDeU15iroc2Ls8pa0WvxvAryh1hvxns7MIzIrilmhYwPqQku8yBfB69L/YnqvSZpSrPlTNYs9EmdCROuFaJpLWM2VNZL2Uexd4had2Su1rr+PJO9pNTubl27eMfyWE+N/U6t9ur+XEOtf+wGDCat5/s3a92YLk+oaRxoGNXExF4AvgrQk3ZlLuuJaDS5TfOSr0vtvYQx7+PnEYwlcS/tOtkbo1/jd30t8LgdZPxhH8+ZhTVrypHZ2Qb+GqNqBrzHxZyo9cCfgjGNBoPBYDAYDAaDwWCYxPM0jWlK54sFvV87VyzvzOSeYMFgQP9X7SpqONoL11M81foIn9Ky8VN5p/RhvvYdR0WzXByx8FTddmDXdF2qIvoNfw7uKd87bXlnrYuLl0TktWzaIQkszc352Ufb7JcgIcf8iXOSqqOFZ/1MmKGUFiW3hXIwhMax7WOmCqxlJ+yYOoYaFeXAJVFtFWGZiprr2os+8lJFtamIPOPoGTXOyW9PE98YhoGathWmcc4RySVHrS/P3H1+ZPfUi5tzOr9yusf9/jI6d399HP1rY3Y8y2KtLVEcZUqSlEY1Q0c1mxQtxkDUG30deeszqTN6KX35jK9F6k9xlG2Ovn2iOo1pmtJqNqM2PzztCNPI+fnNovTOvdC5tIeZDK3V0H/vAxaQyEX7RaOhPzOhYdTQvyVjq+3kPHWtspodAqe+41jI0oQuFnPpJpvM/e5W6YhwXsWsFDdbiZSq69ZtnBOYKl2/Mu6zaZYEDJlihCeyF8TxU9XS7NU9aevG12xTWsb93q1T261zQu5OlK3Q9z1tHjdSxxaReOhQoCuiv3TtN1vNpY/JuM4Os1Te+TSe/9AeYGvaFnowXz8QDAXqn+K9YBDgUFhA1wQmLFFrhWjMGtFKidPlmtt6w+s8j930BNkKaZrS4mwh1w6NJpgiXdttGHof1ed7nzPTlPHeIa3dZ6CVA/z6o11MAyZAmMZYl6uZeJmqeThhH4J1UO+BImAvo8Ye7h3cL4+Noijp9vZX0n5PT++JyK/POjOsqnai8e9VlgVcJNFHwdTgPoLplvqhss/w7Sl7DnwGNR95bHuXfjCNqP3LOv4lZ9eAlV5gTHhNI9pUNKd8/qJJnVgHvhRpmtB8NaOujdddtEeSxvsu92++3jBRMFZl/xb3JakTXMV7Eql7K2ym9xyQdoAev4qZxj1rGVGtYM8VEDphE+FcDDfRXcSmh78hbSEVEU7T1sMwOD8U5ZExNVf2gQMzrjtkZYk8A9znsROq1Drfx9UDwow0PebxTIM2G80tabz/w2+MMvZ6v0/CmEBmHHS9Tc3ZV9nz9nvGNBoMBoPBYDAYDAaDYRLPYhrzNKWXZ2d0x0wjIhCIKIG5OLt2TMzmcUvN3tU3RL7zZnPvXnN+LyB6oQxRqLi+zri2Xefz6cE4wjWtbaLPAJoRAvAbiJRdXt7S5aVjGqFlAxAFW7E+7Gp1ApenJKE0TUWPCAgLxa+hc2u61LunMksEJlHXZay7mMGt2pjdCWsjETnNiq7DNoi2CecV1/nyeqXDEVVEQ6pqKxFCycXGPVQ1DzV7fCwMRNT2nTijIdq+mrk+cbV09/f+hut23pzT+Y1j7OBgiOvBde53qraVcuuV6DX0P4Ezns+1j93ftAMtPoM2F4aRc+FLZp5RM/Xs+kwYRvRd6PzAqoKtLiaYwC9FmiTyW0SeKUff3C85ar2b8bEauZrhiDp1Mi8geqe0j4jIIVosdQDzbJLVGVSNPF3nTmo/IjIOt8wWjPowYhbFPZW1B15bPNVaX4YsSelivpDfKfOYTarnzLwgyl9klOVxxH8qwu4dPmONhzAHcKMN2lci42nMrPn+eziqrhk2yYCAm+i2ErZL6r0x07jZPETHU+mi+66n/XpH2wcXeV9zfTridgEDimu+/e5Wxp6uBYd2ADKi8idYAAAgAElEQVTo5Arlnql8BKA3iphG9E/lei2Mo2KEp2rBevfUTvrx5t5d4+N7V6t2++TafMf3ArVfj4k0Tel8ufDMrYLXPXvXdNRabQp33jNi10z0+yxuA0TdtQOkzBWE/pl5tkscDeM+rnW7om9uoLnFmneg/p24n/MarxwOcd8vXl4cbIsvRVGW9M2v/0TO+eHO6XHBOD49fSAiz+JX1Zaqyp0T9INos2rn2mfPfQRaPc/UxOuNOLhzu5XzfpTlIDUMeZ3U2WNw4Z/PY08CX5eQNWNF5s8nixkl7wzM96CK78GxoZ070X5aWz4MQ5C9xAwZzyey3qGmoMzJzIKhKsEe7G9cO7ROU9mXyPwPlrKJ59cdM4uoV409va4tmKZgbCthwPC7GAu4juXyXK7xFBiGnup6P9Jdii8LZxCCiR46zzTu01j7p30TcMohQ87/Q0Q+8wTPG01TBV4tyGRghnzmxtKM9YcyX/F97LWztegkfdYC2hC+FufnzqcFdUiRLYL96efieQ+NWUavLy/pbuNSOZ7YWhm0dbJ1jYMiqauLpaScYbM0jFIV3Xf5ySCP/l0LwvtILD4eTOGxV1S4L6qJhxzuKEzb3tx8RUREr1//hl5+6wxwsNHGgAbwUHGqVL4QHYTR/LqQgsOwzvWTSMvn0yJNgwdjxekKuiSHTsEITQ+I3ASKDUk3ZdvM59O2WIBhIxw/PGrTo6railFSy3/DwyIMDHQK9LExDAPVbYf9HWV8Tdhk4z5fnnGa5+UZra445eV+ydfhJjo9cIc6fljM89hyuVH9FOYSRH7B6HukIh8ud6Ct2GWxnLHpzYVLoT2/OafVhfsbFs4VT0i4RjzQnWrCRsmePIsfZPDQuK5QRgAGCbkvG5DHEzQWcpwq+q08PI4Mg+I5IO+H0QOMDjL5jWKcjoI0JpyLWKEHqd2SKqkeGmGC1PBYKvJTWeantJzNgrRrbje+frR1lo/HlaT5SVHieC6WDYgyEcHmoseDPi+eWZ5JGlWm0k11qs/Uw1On7MvRrrv13qcAS+Fvt6as13dE5De4J9uI9ANV20oemB7v3e9hHlivH/m1f3i4/sqVdLrgYNRM0nFjo5t2wrxHP+zI2pcPPqiXxvOztLEy2dESBXn4woakRkmTnaTg3v3krhEPjZtH1+ZIVXvx6vXB8/4SpElC86KQjZOXUvBa1sRBya7rpG/iQWboXHt7ExZOdYUpFxtx6PICGkmaTpbLkeCRKnuAfokHLbyWMgQ8xw+UjuQ8CGhjI37O/Qb7lGOjnJf0q7/3K+kLD+/cQ+O7793v6qLkTVPRjtPB0wmzIRKJAM8b/N0w8xEDml4Zo1WNBAnFOAtryBwPJvF4wHfi4XpxwWmpM5jLQO6U+rHGawjmmHrP+xQ1vxwbw+D6cDHj9UXtNeXhtfHjEn0KaxHSKv1aFM/NulQOLlpKQIl5Szt6SNSpjxXmVyaA0I/xG0WJewKTHj8u8WCJfg15Evo3zvfQunQMDENP+/1G9vw+ld+1+VKMD91eqWtaaSu9zvnyewiS8MOhKuOB+bfiOUZMw5pW5i6dLuxTtuOgKlC18cN3p4yghr6Tcbg6c2P38uUlX6MbC+sHd98QVP1cWHqqwWAwGAwGg8FgMBgm8WwjnIvFgl6cu2jTTw/uCbViKhfRCkQdZ6s5XbxUhh05UgFAs7onY2+L7gu/Hz56Wl0brISFZonIi8dVmQmwMYs5m5tcumjd11//GRERvf71N3TzlUurBTvj7crjAujdJyKSXwJYnuti8WkOMyD3vnnwHjCKSGvKEP2AmJe/ezLorn6r73qJmI4s66fs4if+jkhNaOONtGVEVqcMk9Bvjo1+GGjfNFTA6ED1FTA0C2bhVpdLMXzaXnOh4Z1iSeX6mF0f4n4paarKkjlJEkoHxerkcSQKkOK0GE/8GqZOy5WLKp2hzMblStLHYSBxsVhE14a+sq1Ok8aXMFMgbckMJ8bSGkWhl+5YlLkvLaBS6/x3umO9jw1ePAPLbItKIcuKLGC9YtMVbfCko39IXfFscHyP6n3t01F3sRGHT2XmQsEnYtCRCrycxW2NdLdN5frsU/Ek564zCITFAgOFjN9PGQN9hrmPFvjrvw8y97m/IzUMYw3R/2pbSaYLxt36yTGMDw/viMinT51qDhlooK7rJYIMhhMReFzTjs+ja1ovA2A2BczRgqPAktmi1gBAWDawI8EcrdkYXRhaUte47Xv1G2HqL5GTmRAR3f10R+++f0tERO9+cMdHTleslJHM+fnVRGv9ciTk5mfN7MNgRaz/a8gGxmloy4VL5xwGN4djLsT8Mqi0Lz9Xx6/DNc6nxvO4QNYP7PB5rIGF3e2QzhebYkGa07WN7IfAxGBex9rz8jsnn3n9zctxQx0BeZHTy29eyFx39dqdz5LTjpN/w/Mtz2sPD2/F9HCfMfMk7YB0TzBWcfon2EBdfqgJsp10kfo+NOojv8bmpTe4IfIMMu6zToV1815cCgUMI1Kun96z2c6JmEach5ZH+NdxVlhY1gbtkPHavizjdHeoej5lVojfaus26OMqA0fME3Wx+lhSpstEhHIkpLRiLGDOTlUmlc7sOxb63jGNYNeq3Z5/310rGOkX37pUzqHrfWYDtzUySgApbcRrbV7Gcg3sOYo95nzsATov+ZpYexO1PnYqExBznTbUSdJMUn0vb9yzDAxKkYLbdeO57HNgTKPBYDAYDAaDwWAwGCbxix7nz+cwCXFPrDvWK1Y5C0X5qfns8kzyfiWwLCJR91rMUu4gsnWRNUThmgZRw5jNqaptUPAc7EIcGUHEA8wiBKirlYuCnp+7J/BXr35DREQvXr0iIqczge5L2AXOW15yJAJaoVlxmohICM14ANDfpXlGbcfRZFWyIU+hL4qP3TDBkB6ISGmt6KQ2SLOUyK+WQtyxyY2zHI4F0f7+xxGoUxXm7vqeHnc7MRLSOjsA/z4/W9A561w3yAnnSHy9Z7E9nzuuBVH4XuWdowiyN8bpqZN7jWhe/Bnp23msp8u5byOSDiOKBR9ny5n0YURdS3XNKNdSKbvuYyJJElrwnIC+Cc0gmMbHHWvDSh+x7FXuP6J6umRBqaJnokNUtvx5no0NLFQpGUDr7CRzAQzDLo7+VdvKa0WgPVD9XGcPnAJ5lkkJmUzMOVz0ccvM3fszF/nN8mxk3OHHu/s+MaFRvzP0h+eHoffslzcNYi1UgX/je4DvyOMoOyLp3qALc4jXW4IhgFbs4ZFZsEfHNGLegW7m2EgooTzPZE3DuH98fM/nCDaGz6drhDVAuZAbaBy5LM6SMwTAEoosDEYWMFpSRbvDuVlYdUS8oeNSWjxdxQeRcGheHt66qPzPv/2J3vz4ByIievv279x71k7XhHkavgA6I+AYGIio6bqxdwG0g6qI9m63jgppE3mjjeXWzdXQ95QlNHrut7wuUTNa/rc1KylmImC+mbHSrGHNemKY7YhhDPft7fZRmBDMY99848779le30fFXzCIcG2mW0erqjC5vHTvxghlNvEYfgldFVW2FWUeb+6yBLvp7J2tabBAk7JK6v23TyXvENAgsF0GrB8O4WBucqqwRzRQPw+C1jIpJQr+/f+/mE2RFnQLhfkuyCPax30QXHtW6B6ANl+li9L3h61RlH1Q56zbTetRm2J+kGd8nZbYHQOeKcl+dZA36vT2yQDbbh+gz+jxPlYHjjHB2kg2CObqtvyUirw396sbNx7M8p3IRX+f7H9xnfBYRWO7YgExM+7h/5T2u1X1PUreBeVd8nnpOlpIpAftORNS27r7pZ6DZbC5mnjdfM9P42l0TdL3Qo2fZ855hjGk0GAwGg8FgMBgMBsMknvWIiUgfAL0X9DJbuAnNvJsQnrbFen7hns4RUUVUpeLcXHFiGrb873GEKdS++aifKtSpynUgwrxindf1tXN2u7x8Fb1G1IUOsGxSnoA1jhfKefIUkKiQyH9gCx6zb/0wyN/AKOj34nWm2MoRe6i1c2nidWFic50efC+gtXvi8IRjEGnEvwkrx0d8hy7ncWx0fU/3241oQJd8P9FOYX8ncowVcsIRpYbjlrAhzQVfC4qMc6RZ6TQBRIcG6gO7eN2nB/Uafdz1Q7iBLc7ichqIKuVl4fswcu/BOuM+cZsjc+AUaLtO9Jdg62Ea/5K10u+4pM+HRSkRUYk6i2tcXIRXyjuovhoWLSYKSncU2ahwvC/BcfjcR1E/cRxmR8/AZU8YsRb2+uwSrKPwp6q5wcB8UHB/wbx1c+b6y/W5O35Yzr17YRe7pgKaQWwmuomULIEGpu2Ddtc67cPaMUCzN3AFlHPpetE5SjmAR+fsCd0McDKmMU0oLwvvyMltjXsN1ghZA3W9Ey3Kdu2yXDb3bg26+YajwrcuGwY6ZK0/9H3NHUNNo89GOFzmBKUidBUj2PDvoOX64CLRb37vmJY3b35P7959T0RE7985xhHrMdbQslSazCOiHwaq21Z0PRpob8y3m819oCV27YQ+gALXhbLLx3yh+6d21uzazjPvqgwMNHt77n/Q1OK8kGGC+wTtI8qRPT6+k7VD2IKbr4mI6PWfuHb+1a37+zfX1xOt9WVI0oTKRSlz8g2XFtu8iJnNLbPRT08fRqyun+uwvnHfrTDfxms6MsI0uq4NvCzYJXuIdXdFHnsRANqpFQjZdslUYNb/4Y27D+/e/UhEXqN8KiSJ6wvoDzhXaCq1s2ZbNzL+wYxp5NyvF/x65HivXMlFf5el1NRxVs7UWuUd291c5qsVIC0idvjcbh9FA419PbL9oNnFERUYjo1hGKhpKumbyEZBW2Pxv1y6lnt9cUln83n4TwIwjlijmgoeB7yOos+p0lRhM2o9uS7Fpdl47DGxT4aOWGdXXly8kGyEF984fSbWFLCUo/38Z8KYRoPBYDAYDAaDwWAwTOJZ4cCEiIosE1dPr+vjumXQTDGj0Xe9RCtQXFW+S+Vi9/2vicg//UL/geix5EtLEfNpJzxEsBYLdg/iaB2KWyK6sVo5jsPrK32+OyIAmdJELVnPOctR/+wEddbYyVA0i8oJFSxYwW1Vt63XdpFyXxLGkaN7bfw++ck+1meEUSXcK9Gjqlo/h86fKKzPyDoEil1Y26aSiDuOvvYmnzfnz6fJaZjGtuvo/dNa2mnFLFtYhJ4oiNRRQiU76YIFQFRMnNp2zESyfqYSrQc7+aFGptwjZl7TNKglisgfjy1mzREhn7PzLxhGvC5UjSC4/c5Xc18AmIGanQWK13LEDJrCY6MfBtrWtWgm4aJaqJqYiGr/dLYY1awSBzlmVnAPctFroVYSsh7iYx4UOk8UwyiaxSRmdTSTIMWPwYKhPuCW3V/XO3FMBGNwsID3CTGQ06bWfO5e2+iOYByvua3Prs9ow0Xpt6zR7VhPrqP0QK9c/aaQF0Pkxhx+Fo6Jfcc6mCz+LTA8WueEe1DtqpE+BfXifMFkrB2nqYmZpCnNV3PRuy+XLqMFUfP7+zdERLRlHc9utw7YsAf+tz91/7Z22howCdAmoz+Ly2ETR54160U0rcVNs5iVQQQc/Rharvc/u/P++effutfv/0B3H34iIq/Tw7X6eTp2DDwmhmGgqvF6UJ0lA4YLDo1PTx+EYUTWEeZT3RcQfcccmWVxxB/fLe6FB3R22r0V91g7gctvNmCiwTC6/rvdPEhdSWRDff2n3xCR1zJ+feVYA/hKnAIJ19UlIvqWtZNY+jGH3zMrd/fz/ag+KtosTWIHWxR7x/WnqZsjwcTruXEYhqBWrGJveE/Rwcla6rlifEDzBTfyeF0k8vP2wzvX78EwglWHrwayek6BNEtkbtyzphLaSlyLry2ZiJ+C7EFUjVVhnvgz6NfjLCcavU7zwxk4shfeYQxhLeVsQu7n4l3Roj6pm4/X67uRGzD2L5hHzs5ih89jYxh6aupKst0wV4Blrri+MhJeXpyfj7IJsXdGW7//0WW2oDazZmb13BxmLUh9aTx7qDb3ayxn5CFjE3MKoboAu6SzX8vtd6/o1W9cVgKYRtw/zHU+E/B5HhbGNBoMBoPBYDAYDAaDYRK/SNMIDRSOYMBK5c7Wd71n6FT9KbgK4gn75bcuggYGEU/Mm81LPrqIFiL3VbX1bJnk88K9yX0HatVBywiWxmtO8ITtvhOOdVmeibZhFLHJEe2J2b9jYxgGiSKkByJvfHJE5LRpWRqzJJ/STGlto3w3NEbdWGOkXVy1E1eqdIe90pr6yIbXpeqoFBhGOHPhXkEHcmx0fU/3m61ElqFhRCQVut02cLlExB7Muq/P41ksIt8PZ9zvZqxrQ5QUDqjQ3eB+ExElzKxC5wEtDmqLoi9LhB/3k+8Jxp2uzUhEwj7hWneswXli99KqPk2dxq7vab3fi0vqQmUqzFX9xtXZguZL6AmcLghRMqlPx9cA7ab0QaXdAEJ2YmrkagZGM2o4VmAYOcIotQN3e2FiEE3Xzs6Yu06l1e37njZVJYw52hROuQseX9BuXFyd0foSrsAu6oqId/uJ/uCZHh4jPHZCF1pMYZ3MT+o7+KM+myHWTUPLiHtRMcO2vt94XQozeXoukXF4Kk1j4sY+5gNksCDTAGuarx9Y+z7VxO53YGvQz1FbC+M3U27doqMDAx/o/dD+Wrsrn1UOoXBLff/WMS1gGO/vf+bjG2FGC5X5AOYADFlWnIhprBvRoIlrahNntNS8R9is76niOXfGWkuc78ND7L6M+zHf8bwqc3l28H192/n6g2oNw1FrvIYBWmj3frAcYOa23LZd39EFu2DfvvzOHeGa+tLtiy6ZYVyUp2HPiV1FkY2CfQ8yE/7itbuGH//Snd+779/R+pHPn+/DRq6H54NeMVeZ0qu3h+eZYRgCZlExZRTvc6ayH2TLtOCJp8Y9Gmhzzxr6d45Fv793R8wnuh7hsTEMLnMGcxz0217HxrrljhnZwO/gjJ3cMZYTrV9WWv6yc/2lF9YrPhb9MO24qva6konTxf26UwwjXK0xLon8vgXjUVyNeQ+OfcupIC7UmCue3P4CTvgPW3cchoFuL5CRyJpT/uxWGGE3r9/v+Rlli/sVu95qd/K+7/1chgwztCnFn2lULWJoQgvlmn/z2rGKN1/d0MVL9zesHa1kScQOrNoT5lMwptFgMBgMBoPBYDAYDJNInhM9SZLkLRH97nSn8/9p/GYYhttjfJG180dxtHYmsrb+BKyt/3iwtv7jwdr6jwdbF/84sD79x4O19R8P1tZ/PHxWWz/rodFgMBgMBoPBYDAYDP//gqWnGgwGg8FgMBgMBoNhEvbQaDAYDAaDwWAwGAyGSdhDo8FgMBgMBoPBYDAYJmEPjQaDwWAwGAwGg8FgmIQ9NBoMBoPBYDAYDAaDYRL20GgwGAwGg8FgMBgMhknYQ6PBYDAYDAaDwWAwGCZhD40Gg8FgMBgMBoPBYJiEPTQaDAaDwWAwGAwGg2ES9tBoMBgMBoPBYDAYDIZJ2EOjwWAwGAwGg8FgMBgmYQ+NBoPBYDAYDAaDwWCYhD00GgwGg8FgMBgMBoNhEvbQaDAYDAaDwWAwGAyGSdhDo8FgMBgMBoPBYDAYJmEPjQaDwWAwGAwGg8FgmIQ9NBoMBoPBYDAYDAaDYRL5c968WKyG88sbeZ1m7pkzTZP4dZ65L88zylJ+Lk3cexL1nQOOg/u/vu+j14N/Q/R+Gobxe9R3Df1w+LPBd8Sf96/xHSTnFX8a14H3vXv7w7thGG71T/wSJEkyuF/Ab7pfy/OCiIiKYkZERGU5d38vC0rT+F4kcm9S/k75bgr/gNdJGr9Og9fymehsgs+qo45EdNxGHd9bHNu6pWZfExFRXTXub4177e/tEF3H09OHo7UzEVGeF0NRzAltnSQp/h4dsyKTf9dtpdt23Mb4tcO9P+zjYf+O3nmgjx7GEB3i74jHWNd00d+lD/H4fffmD0dt69XZ+XD14tbPExn6pmuXAWO/PzBeVX8YvQcNou+Bbqgk7Nf6bxR9dmps6ONw4GaM+gLaHmOhc9fat+4e/N3f/s1R2/r88nJ48eq1XD7atuXf65qWiIgaHndd1wVjn+9LqvsrxdfE0H1zhGF8n8b9OT769orXA38O7hyzLKdyXhIR0Xzl5sW85LHL1yHzDrf57/7tXx+/rV9/RX3n2hZtWu/dse9wDT2fe+LHmhoLuu2TT83f6lwGCsaGjBXuazh2h/99as3FOWR5Rlnu/r+YuTaezVzbl3kefQfm/L/+1//6aG29Or8Ybm5fUcbzE9aoluextua+zH287/pgoVZfNrGmjRqU1Bwefm56Eo7/Wc9dag7r5Yj5uJfvyDLXrnnhjpibUz4P3NM3P31/3Ln6/GK4ub2lvuVz+cR8OrhNU3Q96FefDd2nw9efu8aOviP+CT8fcj9tWmpqNxei36CzYCzqS76///nIe5BymM0WlGU8bxXu6OdZvcEdz6d633wM+N9XY0U1LuaqdGK9COe0qTHQtZijm+jf1+u7E/TrV+NrUP2oD9tRliRu60619cSaNpo7Poapvj/ao6j+PwLOcTiwZvIxjfdd+Pvv/+bffVZbP+uh8fzyhv6z/+K/kh9bnC2IyC/Wi/MlERFdvLggIqLr19d0vuQHmxSbbu5gfMSCvm9cZ9lV7qEBC4Bscvg4dH7zg40POpzeDDdYRPj16IGUO2zLk0b4eXwWHaTaVlFbYIBgwvk//vl/+7vplnsuEsrzgtrWtQUeXF68+IaIiL75+s+JiOjb7/6CiIhe/err4F7M4yPav3S3uuBjxosQ/l7yJqDgDRg2YrOyoDzLorPL+NpnfF4z3jAUfCzV+zeVa7u77ZaIiJ427vj+D+/p+7/+noiI/vDXfyAiop9//DsiImoa9xksoPP5ioiI/uW//D+P2M5ERTGnP//zf5/6zt3H2cz14ZsXXxMR0Ytbd7y8vXTXNi9lw1RgczrRtthgpdwe2BgCsmno0Md7v7HDxqePJ6qui8eBfJea2PQxSRIZL5tH1/73b+6JyG9y0YfOb86JiOh//2f/+KhtffXilv7BP/4nMk8s+Yj2qxFA2Llj3/d+om4xpt01YMxKe3A7oY0zbnM9ceLhPy9yGcMyFvjf8Br3WcYGb5ALBMX4N3rV1uG/YWy0vCHc8vy2fti4492aiIj+4X/+nxy1rV+8ek3/zT/75zL3Yf66e3NHREQffvhAREQ//+5nIiJ6uHtPZenu/2zh5owZzwF6w4j2AaYWUWAYBnlQaVuea/Wc3eF+xsGjqnJ9tVWbCZzrxcUL+vXf+w0REf3Ff8Dz4a/dune1dHPGer8nIqKnR9fm/+V/9PeP29avv6L/7n/932h990RERH/4dz8QEdEPfNzcu99tGj+fY35eXbpzPLtyx9lyxkf371NzjDw8pPGc0nWdjI2G+xru/W7t2mG/2fO/88Ptzv07xl+r1kuc68WLC1nbv/rTr4iI6M//vV8TEdG3Ny6Y3PD9feI2//t/9VdHa+ub21f0X/8P/xNdvboiIj8+MY+9/bu3RER099MdX+9ONrSDCvrqgJVseEfBUw4iImgoDxLDwX5ONH4ol71Mo4MKmO/4/uxcP6mqrXz24uIlERG9/NYdMTeXc3ftuLf/y//4j47ap29ub+kf/vf/lLYPbvxNBciwxtVVI3M0zgnXh/2ZRpodfgDUc3iaJbKG4j5IYEjdF3m4VvcTwLxT73k+/Pme3vz+DRERPb5/cO/hfo95UK+1/+Jf/M9HbevZbEF/9Vf/IV1dvSIiopuXr4nI92/98D0Mg3/I4jV9v3f3SdZDWZM+78EdQbiQJPBERC7/Fr43yxBA4j3joow+h9uK+SMvCzk/jAH0FayD9/dv+Drcdf2rf/V/Hblfv6J/9E/+qcyjut9If+aAH5FvS5zzbr2LXuvnkHDPRRTONRT9PfyjDhpibGQ5zgt7E3fEnkSvzdgv7jd7mf/RBbCGYI1B/8Jv/4P/9D/+rLZ+1kNjkriL0tHGcu5OApvAi5f80Hi2ojlHTRCJ1E/IVRNvBno1KWkgFpQEA1lvLCVipKIw+Hd9U2VzP/iIqpwfT+iYhIQheGYQ7XkYqO87iTKen7sF+ebGPcDcvnIL9etfu4fIy9tLmWBl07FgNpIHMgY4Jttijo0wJl888MQPOEmSyENiBhaOfwv3dsafxUNkkcWb6jkmeLWRHobBR4d54G3XbuF84MmjBiPSxA/tx8Qw9MJoyAMeBznQF0YbYxoveiO2RL7/4xEqbDKed87u6NmDuEOONkupnyCFJeA+IkEVPJhKxPW4SBJ3DnnhNwNE48l4kDE2yLnIRlixCfphUbNjni2MX7t7cJgxk3YAgyGL4Mfnqrb1m22Mx67kfoXf5UigLAL5aRQCA7kNEsYX2nbHAYOHd26D9HD3ns+5Ix3FxCI4alPVj9Feh8YIXvs5+vBDIjYTYFu6nh8uB/TJJnrtA4A9/fw7tym5+eqaiPzG+mLuHiyR7YK57dgY+p526x09fXAPjdgAIfgx2kSkiawnsiHh/o35WdpUsYToY2mP74zPJRwz/uGFot9Hn+OY5IhJwVjCb+I6qm1FzZm7D3jw3Nb8IIwxgvWeHx6PiTRLaXm+lE2oDvruuY/vt+7chmGgZDTGwWx08p1EfiOcJvEDC9oq0QwwJfL7eq5NEj9/EQUP+HitMrNkTW55Pu5aqioerzvXp6qd69Nn/Yo/674TG/Zjo+8G2j3uqOX1Fw+paB+cs/TxfvAPxXw/Kjw0NofXE2mH3AfyiMb9jyilJI03xdgv4D24XwjApipwPcqW4tfz1Vz2rZgb8fCOuSrlPtBPPPx+KdI0o+XygpZLt2/G+qgzAOSa+l7aiKdPYSnxgOf3IhOEyWhOCh4aKQ52Yx+q5xrp17yOY87KVMYhHtyzPB3NwfgMiKdy6+bsut4daqovRpomNF/N5aERcyTuMfYe0ge7fvQcMeUAAS4AACAASURBVM4ciH9DZyiN3+dJK7wH7aAzBTGm0ok1DA+PMj/x/c6ylFpkI8gaymtuEwdghs+iQj1M02gwGAwGg8FgMBgMhkk8i2mE1g9RJrBaiBKAYXxxwVGx+VxYJTCNiM63SMlTrFSBiGqGKP/hp2AXvfb/TxRqA/BkPab1w7+PaWMcE6FyEWkb+JoJTMdEVP1YSJKEFgvXjpeXLt3q9vZXRET0zW8c0/jy2xdE5KKNOF+kGHoGMU4L1ql4uUpTRQSmyHDMhGFE+qkwj4h+IEqL16D81b1F1DcP0jS7b+M0zO2TizDVf+2ixe2TY0LATBwfjtVFGodoSHJOtdAppcMQsFqH9UeAMIgqZWR0BkHkSutcxnnpcR76SF820i25v2d5JueJe47xi0j9lIbtWEiShIoyD9gUd3IbThtsOCUE59E1rUTaJHWOx9+goviAZAQkcYSOeo76MQtAWTpia0l1sT47zPIgCtgP6n4HGQ06JR7MIhgO3DZ9/sfC0PdU7SrRDO+eXBT98f0jERHd/ezGVV27cVbknrFAfxgK10B5DgbgcLTea1k4WjvRd+P36oh4fATTDyBa2jLjmCRgGlp6//ZHIiL6/t+6+RJMo6ToM/t1KnRtRw9vH+j+jWNvwepOsRtJkgRRejV35uP5hv+HiAI2t5+eS0YMhaRh83zcx+NP6/V7lUYDdn+/2cs4RFrZZu36FeQlFwu3/uyZgTwm0jSh2XImrOZ2x2ycMIwsaRDGL/lk6phk1oRppxTotJARkMWsytAP0m6SvSBsGN93vldFcjjLSqNocF/mwsCDeZeUT87KWF6470Im0bExDAN1XRdobuP9AvpImPmBrCwwvY1oeicyV3APOn1v8M+YyxPJRMj5fmA/limpUdKhjePJHPdPZ54Us4IWZ5yOz+thxanV2HMUs0X0HcdGluV0fn5Ni9WSf8/dU+w9M7UHabvOs3qyf3PtgfR/pN/qLANA0iCTDG+Q90mWlWYMFbQcRzNsmU6hTxL5GxgyPR7Rzz83rfa5QLYC5kSw4ToFGefcd71/rmjjvdWh7yYa998pRvIQZSfzPcYE2EJ1flijJX2+jPegaZ7Jfek4pQQZADKWy5il/FwY02gwGAwGg8FgMBgMhkk8W9OYJMlI0whji/MLl28PDdssz2lesqaOn5hbpdH4XC2jRK8D/YzWHomWQ3QzsWnIiJmc0IGlaSJRAxH3qmhPjwjFCcSNSZJSnpe0WjnzletrZzpwe/ude83anTlYxTIPNIwzuQaisWGCNmfJlOhca0CIAsfHHvqs2AAEGNT7st67BRJ5tnkxuHO8XA7U3MT3bsuMCEwl2rbi46mYRta+BEJworHBxEc/r8xqJOc9i6OgngHwvxsiTRP5t07pb7UxDiDjSLHrh9zUMsVuaF2djvodGwkzBQCiodXGa5BCNHUrETVEXbXJRA+WVLkJFvguMUZA5BDnEoxb7lpJEWuTRCOt+gLGTK9cyMKIojfVirU3MjcpTeaxMQwDNXUjzARMUO5+dqYh6809nxefBw1ivIVIsxbly3d/wqnPvx/tEjABfD+EKa7dezQx5Zn/WKvjGUacQ0Mbvpaff++MZ26+chrwSzZMSa8d83gqTVLX9bR52Eh/1vqTrOX27Hy2B6L0uTpKpBgmEzC+wfysjFo0hmEgUYIx8zVgnHfxXDEMh6P9MFAQ3R9caNtOTFuEVdow48hmZ6sZa+pPwO4iAwh7iFqx6GDVwWz13SBMWEC5yHe5a4vnjVTF0WXuTtHX/bqaCJOrzIgw5jV7OcE8y3oge6NhZPwE3XfodkxEVOanYdETiv0rtGPtbu3uN/pIvatpy+ZeYIu6CfbGZ1motobJodZx5ekoA0cbvnCCkNw/rTPtSGee8HUmiTf948yEjLWNmBv1nunYSJKEimIuc4Cw32gfvsYKBnHdMDonP6ZRuYBZ6x6GcPG+AN8p80qSRu/DeR06TjFnmc7A0nPUR/b48NjAnrY+QaYCzm22nI3nNvWM0HV+X9rs4/kQkL7EQ3BqLfetoP89Ga2hWvc4NtOJ74E2//QGOpln5fk5rdt20Xt1X/hcGNNoMBgMBoPBYDAYDIZJPJNpTKhclBKZQRR0eeGYRokyorZdEIFDdFBqZk3U3wLExl65yIlDYReUJxAdFz9JjxjG+DcQNdOMYxJExkXzgEgO65tE6wjmqz4+K5OmKc3nKzo7c4zi9bWzYL7mCDps2ktxry09wzhV90vyzePIYZLFkTm4PIZHaBIzHSkUd6aYYZSI9YSWASU5lmVJ53MX3dtdnRER0Yuv3TXefed0nE/37B6330y01pfDOYZ5V7wIB9zGdF3BTkV9pG01KzjBbB9iDTRzpqHLxshvaCaff7MJ9JJTVudak3BsOKagkHaA816r6kV6dm7wGi6JQoNxZG2g6s9p78dw+J3A6NqD98hcg38DuZ3ELHerxpTWfPR9P3Z3lXpU+PtpNdFD7yKKcLl8+uC0jI/3rhwB3IgxP7RtQ75GqZvfcR8Azzy61+N6jZhPY13YoQjs5Lw/0uNxxkc547+zQ2NTjz6zfnLXhtILt79ycwhKh5zKFZgG51gq7sS8RjTMqkpJJ26vYlaI3iRV/VcfNfM4xTCGJQbAqEr/7A4zBoB2vRW2/oB2BxH5to5dVFHWBJrGT2UO/RIMfI64j2C0cPTlufxcoZ07/ZzrXoOJGf2WrnWp59vEX9/UHD2CLmUAFg++A7X/O2ox9+wiLIzjPmYcn8sSfDZ4nUM/xe8jY0FrzLdP2xHDONVXE7VHySb6tqxDH5urP6FR7SnWAON1qGHF/D1T5cbqvWf23PmcqK0ZsgeDqy6fV6Wy2pwLaawjbBvFTIGllCkcbYwsvLhfxVUglJ4XcxG/R5H2fv5QulFdt7HvB0pFM3yYr4IOXfr3kZGQy3jbo4+m8X5BGEbRQneTewjR8OPfJyg4kLej/h34soz2Yp/Yg02xmuHaK6WxxKE1djfW7t6fC2MaDQaDwWAwGAwGg8EwiecxjWlKs8UscE2NC8nPVPSUyBf7baX+lnuqhXtqBbcnPm5rF61qtEupco0b+mH0hCxucIg4firiNRFxDXWbYBa1QyscBfvyNJrG2WwpmkbUaVxdOkYXkTCJVn/EgVG7bfq/f/zfgSHIwwazmGn9H/4ujlzxd0idGOU2RxTUbmQNzJJ1sVe37tpX546BPCnTSAmlqEWUxtEy0Qi2PkKp9YbaWa9Xkf2p+o3JEEcWh8H3Qc0UauZMH0duq0oDQn0nf9P9RTPvp9I0AqKDqeKai+LaGZzHyBm5i9kEzXpBR+QZSW6/Em2f4wPS/qN5gH9LGABE6rJYp4hzyw/VzFOsaZLGhZrbidplxwJqoCJiC1fipoF+FBFnP39JbUnWU8FJ2EeH4/bqg7nYvVZM+uD7v/TXuo8+i4g3GBXoiEj1Ra85jvvqMPj6kg1rMr1DrGMez67dHPIcnfIvgfQjVZ9LZ3+U88K7VcPleup1Gc/xek7R7GGapdJPfX05zE9Ko6UmasmcaFjnE+hjNNB/4Vx6v3E6sOsz19blKfRfw0BD19OgnA/rUZFtr91BRpC0z3BYGwRM/f3Q+4TNUnWgpZbzRD3Tqch+5K7LExvGBeqUQm+KufJUGIaB2ralvIcDI9deZC0rdF5gLdq6lTVqpIVWffRQfyLyDKScA9aubDz3yHoobDg7jbb822WcadVTPDd5LwDvNkzK9VNn+wz16ZjGsE+AYYS7pXa9zPIsqPNK0bmKpo21jXr/4BnWw3NhmmYj5ndyrzjS2/Gf03geDLWsmhHGPhqMtbirzk/jCpwmCZV5RlUdZ8FInWCVrdC33Whvpcevr6tJ0b+j3yRZPKeELKG0qWrzKT+BUXaPzo5iZGkW7CtjdlfrpJ8LYxoNBoPBYDAYDAaDwTCJZ7un5mUudWRwzFUEVyIzwd/BMoF5rOTonnbBNEo9JcUsTtWtC98jr9UTfdfHzJC/nmmtB96KqAuiCVIfJTuct30MJElCZTGjsnT6kPnSHRF5wm/ngTOqztkHxBV1FD3SLCsumD/PAf8+yLsGUhWN1foVfzt69TpG2/l88VRFIZes21wyu/pwd8Jaa0kiEa+iKPlPMaORhtGiqRzwibb9FOMYaq2GPu738ncdrZ5yS+1iBqkPcvdlDClHT7AawCn6NJHTJPVdL1kEiHSJ5ktpYkOGako/513Q4qgwtI3JyDHWjwOt+x2xuGjDNGYSwGYSv27EwW8cQcd9SJWeFTgZqzsM1Dad6HKgPQPzcrCGIvd5OapIMV6Lzo7iCH0qzKI6lX7wLKS0Odo6HmdlwSwXMyzEwVDU3TzUD7xbJmerbFm/yYwjrh0a8GPDsbrtyL1b64WwXs4WMypQZ+4TdTqnp5rD/abv+kmWzGv/lShJGAPFZh6Yg8DmQQ8DplFcry9dWy/L0zAFRN79D/OGuAEi00h5G4TQc4wwHIrlmtLZgd/L5T+f1gSJy7vKUNELYxKMN3FoBtPH7L/XI0GTfLr5Y+j92AKzjLkb+lGZw5vW68W127Tq4yPNm2IRtYYuzVK/1/nEeMF6mBWH1w3M4eEao+vuSV1TXR+xPo3ODsBerZhjD8J/B/sW1OQUFhTXgzbs/XW5Y/wb8p1ZXG8zuidTfeqZ3geaLQvvhTCisq9GTU9kEJ2Gz0qShGZ5QesU9SDjfZWu9d4fyGj07CBF34Hanyy7H9d+lQ4df+7Qd/t/Ozw367Yfuap2/ZgpV+fhx+vz5pBnG+HkRe6txEExwyxG5kLe0A29zItIR60xCU2YpEylo42KHPe9L7Y5YSrxqXIFmm7X5Snc76uUqyQ6jekB9gVw6bEFlaVL+8VkoWlwSS1LO58iqVIGANnIJPH1ZEhZVBO4L+jtNyEIDuD+yoM+Uu7wECJpqofbJg2+B2Y5tdrMYpFYsAXzbLY8+F1fDif4x0Oit/iPU8poNJgPDHCdljDxoDOVptN3PRFSOdTEgg16oowJkhQbJh5X6reQ7de1HfVJPCGHRbDj66HTYHAPu6OyEx95MNTlc3xB8sNt7O9bLOLXhYjTNB31+UGns+uxPTo/PqpSDmmaynt1KutUEfFjYyDXRliM8fDoi4bHhhBJkkqKdqoCTQDmzzSJ01204U1YOgDQqaE63SxteROPeQAGFoTvjDd73lI+ldRVpMHvOZV9c++OeGg8VXHuoXepwOO1It5Ee8lDMWlUhrWqlf4TW6lPGUgceohEH8O9h4mKT8WKzaV8OYc4pS28zpq/Iytcm1ZcyB1lL2CI06lU5WNgGNy5SZ+GkZZaO8IUL50yPWVxL1IW9VChg1AIeiRZOkolI4wbMdOIy0npc+jVeAnnYzGL6eKUcTwoIyUXgeRTwAX44jTYqYBClmeUJIe3k3rPJOlx9eH5X8ygCj9e9didSjXXqXcIiMq8m8Rz08ce+HWwpWlO9dDoUp1lX63kIkhZRzt2Qbm5RAX2UBpG1jv+rimzK1JZzmHadV7ED+q6zXvVb2X/L6Xw4i/P8oyoidPFtSHjaL9/AiRJMmkkow2wwnPFnI0ZZWrfkor5Uvx5vWf5mAHiZAq7XmvV+/T+wv3wxHdhLS2f9Rho6akGg8FgMBgMBoPBYJjG8x4xk0RFImLbXwAMUxc84cIkBQJ5Kb2BqMSofIZKT5UUD58qhgipRPSaOMXVM5DEx8NP55kqkNoNw4gBQGRK2yKfIr0sSVzJjeXSFaUG25blSFVBykgbfIbPQ/6kjEAQ5cC9U0zuqHSBsAjZKA0V7GCmIk/Svln8HbrdPxYV90Jpd60QRM+X89FnjgMWwismSJjWUYpekHKtotJy7kJOHmbBPtZnplIaBonwYnzwb6CfqpQICKOF0Rn8b05FqabGx7EwDAM1detTnJCWiqwDYVv66DNE/rpQBBgGDalKH8cY0UWpEZFH1DZNU29wo8Tk+n56U5LYpOTQ9RHxvKNTkDE3qc+ILfaxMQzOCASpfG2cjoM5D2lKZTmXPo8j0jmRViljQTHkmmnvVHom0TglDW2v52qwYWJ3r5giYUPFKMS3qBQ65jRVpE7u+QgDt6MjSShJU0qzw+MpfJ87v3E6OsZElY3nGffROCvGG2C4I+5JXuTyN6xZMC0RthkMYx2nPKKPymtVNobI3zewfP69/J0qc+S4cOU2at1HFNPvy5QM4ywkMVeJ21M+q/qplERR61E5K8aldngeyXr3GRSFydo43bLv2KyL1+hUGxUFDJsun4K+3TWnZWSGfhDTHSI/52VBPyPyfSQrMjlX9GVtwqL3dlOyBMzlMzZYHIZZkJ7H58djTcsxNKuLORvZWtq0yxmdKFZcZ9yoPdSxkaQJFbNC5ifNNAJ+fW79mMR+pTxs3Ij2ATMt2RA8PKUkyeC/T9of56MMLrU0ZOo8Wyki7zP+cllD3XuRAgxmtMJvTGmajoBQ9iJZiMqAEEjTJMhGUPsjtV/q1b9r1nCUcRD8lpQ3UaaKqbxWBl4UtzFwaD8hGT9afvML5w5jGg0Gg8FgMBgMBoPBMInnhbmHQUWP3VFYQvWEnafpSNemI6ipiurgCVps1JW1sLASARPYKw2NjyId0BrRcaJzIk4+gblCluV0fv6ClktXdmK2cBEfX4hUR/YDQxm+xq47rJnhQL2P7nWSKB+fA8oNdIlEs3B/RwXkwVqo95V5zEQXSnfZ9L38fwGGqIhF32BZlxeL6Qb7AgzDQG3XUClFf2PBsTeJGLOEvjgxcv+V2dCo9oj/zfB1+H1jK20ckRePCFMcyZcIotIEfE6OPiBW9Scqgu6i174MBI7CfqEUQO77ro4+01TbEv6Z+7mYCrjxiTGE12HGhAZ+H1FqvBazJETb+TfQ38GytG0nLA7aH1b1uqDuqaS6A/+GZlo8kz7nIzP585UYboGNRaRZIs7Z4Qi4Rq8i0OHbNUurDZyauevXxZ5Zzl0RvQ/fDX1R29ZU145JrKodvzc26fAlGU7Tr5PErQdiyCOlK2L9Dn5/97j1n8UYnHKsYIjOK5tgIIVxz0c28ii6jqM3oOJx2MTjEBiG2FAmyzIqCmZ/0K/5O8XI4oRaJBrcOUqJHqUX1sjyzGfOZIfXfj136+yp0bjhf5+t5lIMHtD7j5IZ0WYOPXGsIcVcIGZ1PKeBbSfyGRVNA20aTIC4vU81V9NAXdsT2yp4xjWPmRDci2bfyBwnplsox9Gif8XnOmZ1MDfN+LtlwfT7Gsnucf+kC5XjN/HvMJXRe6iQWfJ6YvZkKOLyN6L17U/Bnru+VsyKoJTaYeOgIZjLR6Ztap2XtQ0ZfvxdYsyWTswveeb7+EIxjaI7PGysAkxp98L9jd4jncwQ7gD6ITD0CoyconOVcjpdwJjqrBd9n/Tei6LPaa1/aFYj5TBgEAdDo/Tj2kZAs/lDoK+X9ahVayj/e/7M8j3GNBoMBoPBYDAYDAaDYRJfpGkEdNkEuGfmB9zqShVRwHsKddxmbBWfxtGNtEHENYgQqQhepyID2voXuphcRXTCYtVae6Mj5IjsZNnxrcXTNKPl8pwWq2X022OXSwkviOZNSm4geIBIxciid6xXcX93xygqr/Kkhf1RzKHoDSjWQC6YoZlDV8btX7WtZ1w42r3na52znuH8xuk6t48bOhVctJGjvTSO3BNRwAD69gqLD+vvC9875Yg1cvtLAke+fMxsEpGUyxDWPOex18XjREqsICrYBFEy0UEo1qeLI1HHhitN4JnGkZZF6Q6LMpfoay4lCqC1jRmaTrms6oirONMFzIIwibBYh26piPvrLMcx/nsmrp3MNPL17Jua1nsXdb9PnogodC9lRo31Qtqh9GgYBmqbdlT+Ae7A87krabNY8PF8KWMOzKIwjsz6I7IqEVcV5YYNf6s1cUG/h3ZFi/Pk/HAP+LdbPidEhqEbEbZmX9NuU0TfAcaxbVh3J8y212gdFwmlaTJylmyV7ix0okQbNQ20mzyu4eKce0acKNTVxi7AminL8swzjdxGe2YDt09uDt1tXZ/c7vjIJUrg0Ilz0MiLkhaLMyIiOj+/cefDzP36YcPX437zfH58DfowuHVJa6IByWhBW81Lr8VTLLmee0c29GpOwpjAfDSbl/K3KW1jt1SsoMoSQb8EM5c++DlcsxMoBQXWDn2r/oUFuj8X2vm378H4ufMC07x93NB+w//P/WvH/attD+uTNaCvLooZf971oaa6lOsVTTrPm2Bl0YZgO6H9LMt4/ThULD1VDttYD/BbWFNOxYalaUKz5UzmPBy1Fq1tfAaOZiO1tvMQy0dEhLw49Mn8wBqIdoCmVGfc+B+N06FCdgvfRRTvs/WcKG2g7sFJ9yBdR5XSeUvpEl1mpe3GZfayw9kLKel5AJka+G0+BqywZLCp/aXsjcBWdhN7f/ktuD+P+6jX+sflc1KVLfK5MKbRYDAYDAaDwWAwGAyT+CLrPjzsijMqXPfgwpelwtxkSlvXKTYGjpzbuubPxsyj14n4aLbP1Y0j3FKEFdGWImYYoZcrFIMnUey2HWmpxHVU6fRO4V6WphmtVlcS+S/hGFnGkRtEPPIiH7GRo9x2Be+6FEd0xB02cEXTmsR5weeD3+cjnHGhT1zw+/B+3Qf2TU0Nu+zh38BC4nqWF0s+rg5ex7GAKCci/GAYpV3hapj5GnxTGlNA120TgzJVc+1j9XoAybEX1px/Q0VvfY0kHhPI2W87XwdMWOe4JiXGw/5E2i+4p2otEtoYGorFmev389WcFufu/mPMao0uomeiO+HvbpWjsmYS8iIP6l+5v804oorC5Oi3q9ksOi7hJspMIxhG9OVNlYtz9FqitHEUEg6QU3X3vhTD4CK/Wn8szGuaR+dVLkqZb6Ajnq/AroBRidldXTMTUVu4lobQ7tcjTUYfz1dpGbtW9nyvxm6AndRs9DVWmW1g9g5shHaaOzaE7VZMEhhPzBtNU9GO2b2qdgwJ9F5pCgdbvhbuYzNmhlGvdrZgVpiZr4L8+NDui2jbmn8LDOP9/RsiItps7t25VE5rCZYGwLnM52e0Wl1G/waN48PbByIiWt+t3Xtnx8/AGYaemqoeZRLJ+jSPMxUWZwuvE1MF4wHt3quh1wF/9G6XWvsl7pGit2MtaR33i1xl8GD85EU+Wr+bkT4QbPKp+rRjz6WWMPoun/v6zvWhpw/uuHl6pN3O3Xsw/WCw0e967leopzoMcZtDX71YuOwiZEMMwyAMWq76ds37Reia8Vt4DcCrAOMJ63xZLqQe9vKMxxgY5Cze86GvHxtJklA5K0R/Cbdq7GM7WZ/9epXBgRf3H/Nmrhi8CRfmQtjMeAxlWSasMjJM4Ej+Kf2hdnIGYypzeNf7dbpV9BvDO+qeRhvdDwPtm0bYNWhhAf1AlKaprIN6DQdwzsiwEySH2yvMIgCDKEynrg/O8A6tyBDkn4BT/8i7JBP2uG0PM+XaF+NzYUyjwWAwGAwGg8FgMBgm8YvcU0f5tCoPF2xhmWVe/yM6R34iVj/d8XcUirWCXq5izVtV+HpjiLKhDhU0K4geip6BmTlEV6QGn8pNLmbuOE9mI1e6KWaxPUE9qizP6eLqmpaXHFVexgwArkciYPNCWIKR9lL0njEbW7PmStdU0+zYIaYS9xKMzIKPV8tl9Br/DrRwNQxqc2r2UUP0BfPju9QCWZaJ5gXRTvQVidpD7xe2DyL5adz/R05mqg8hqJ0kcZQv1NllEjFC5CmLXldw4az5tzmapNkeRNK6rhv1Yam/V+po5ERDfSmGgfq2k7ZE1BiRevR39PPZYuaj+WXMCgLirjy6P6pGFBwiez8eEO0UDYf6De38XPFYx1EyHTjsV+MetC3tmziCKQ6J/J2ixzpVnTVmdXH/4SiK/o1Ie/AB76ZZcV9DRgPcYtWcjblPNHSoedWqeblugxqBcYRZ16cqVFYFab2kckRtG9+vc3VNYPjaCQ3c0cBMCPRUcmTmTnRorO1qmkq0jPib79foW2BawaKinibPredqrASsF9h0zBGYf1rpt3D5decFDRk0jV4Dw6wAM0RZlgtDjfPfbhzDCMYJR6xHx8QwuPVKagNir6BcTEPnbXGJDCLwRGMn9U/VcEabavdQ9+KwE6WwOJijkJGgtIzaRTovczlvMIyi8YW+Svk0HBtJ4sYm1huc++besYkP7xyL+PTgWOrt9on2zGCDaWzaeO4Bw4j+pJlHz3opV++ulbGEMS7adf5usDz4bjCOeK3vK75nsTgL5sZY95iruryz4TR1XpM0oXJResaa27ypDvfJvuuCdZ1rg4IVVdp/XWNReyXgvoZOoMKcybweZ+8Aug+KPlJfH/9WOSu8ZlExiTkzf71yRj42+n6g7W4vczTGnvTzPF77ylkx0n3qJRsaa62PbOrDc4s8t9SNtI1kFS6QPRjXncbrXrxUOLuT5zpkA+XSvr3cR7CqWutebfm+0vPa2phGg8FgMBgMBoPBYDBM4tmaxkM1YlCf7HEf55FnSSr6tpnoHFHTj3VEyC3P41MRXRxHVmdF7JrVNa0wixLZVS5AOi9Y6uoVcc61RGeCv6d5zAwAiIZBj7ANam4dC3me0c1X13R+5ZzqEEX2Gscy+nsxK2jFGhforsDYQm8FpnZTuTbacZTTRzs5StLFrmhJ4l0BofHS7qm4N4VyqHva7w+ewz44l6fdLvo3qXVXx9GtKW3mlyJNM5rPVyOtUK6c1EJXLalnyK999DqOagPj2j/KQRM6AyqloJLXFSCCpCKsSjejf1McHINabOJOF0SjovOTKNsXSZ0/ir4fRpqH1aXTkqxYt4roWV7mEhXbKJZIona4F9xPJIIYsFxEPgroXUQz+R3oZvV3r7n/Qn9dI6KoaoKFdexw3tpZTWsLEb3FeR0bQ++Yr+2Tm590pL5t/fgmInq6W3umA9r0Rcy6434l6tp0HUJouMAGVruK9tsN/27MOHvXrQAAIABJREFUMoiGmBnQ2SzWh2ntKqK4hzQv0DTiu1pmyjY8Ry8ujj9XExENxHod1eeEUVH13ebzFS3mZ/xZtCH0UzyXFpjb3bVgbKyu3BGu0vg7dMCz5UyyR5BtAPYPzD4+c/3i1p0D7nsRj3/Rrz3AZfVB2NsOWSPMJm3u3f19ePcQnc9RwfXVtPsy0Csmr6ka77oeatLJr9/aVTlX7LquNYr5pt7V8jesUdprAGMb7Bz64Y7HpNQzPMDgZHPFLKjzFe+BAw71x8AwuLGmdbqP7x3D+Hh3R0RET08fiMjNL+IEzPpcaAXLciHXRRQ6e/Jerjs8t0PnW9c7Yb2hc8QYz3mc5OwuCyYcY79puI1bjEn0HdZ5UeIduDvsOWKHYvG+mKgN/KVIkoTyspA1H2s52h7rzD7Ys3n2qI/PVc3VsxXvs8/hFxBnJuj9TVu3co+xt/X1NmN/AGH6F7EWE+uH7Ksx9vLMe4SMvDeQhcXXfCL31L7rafuwpe0Drg0usq5dsLdGXfDZYja+DqVVbFQ9XNynDTv+Yx7wjt/x+kjk+5Y4x8+QLYE9f8wk4v4t+O/6+apuW3pYxxUHsIbOWvcZrFPPdao1ptFgMBgMBoPBYDAYDJN4FqUwkIsESDQAubGILNdxbn7f9qN8bF136oJrEV4u3JM9mEWtdQOLFbqJbZ9cJBX1gRDhBiRKp7RTiDIKgydugezaOCtphsieckgEIzabezbk2EiylOZnC69TUS5tXrPhzvdysRQWEIxtoSKQDbcr/l3rtQCpKRW4UuL3vS6Vo7L82jPNzFpyROoRLGIb6wrA3FRtSw1H9yo4DqLWpjAKH3e3+1LAqXa1uiIiH4UXFld0bv4ziAD674hz+nXEcAQhB7WLqn+L/A3seB5HypscDnyobxSz5blEHkv5rcnaPtAcwGnwRNFrItdWiILCGRVMH8Yf2qENNHlarwz4uSZmGnfrPR/ZyY/ryNWBfuiMmfwX37xw380Rf3xW5jdEeLf7g/8OPWUJ99fzhWjOcH/0ecN5FFHJY6PvB9qvd6I52rD2DPcWTodF7vVgwnoRNChgCOL+gNdgw6Cz60Q/DTaqld8C06nZSbDfcDXEb+K7wRwMdNgFNk1zf37KcRKRcTA9YOmOjSRJKC9yWW9EL86sBhjQ1YpZwdXS60WV3nlUVxTsILPxl7fOvfT69TUREV28uCAionOet87nc8nkeP/B3XOMN6+ZY+fE6z76DX1EW+8e3W8+vr+ghw+OYdpsHBsBxnjz6NjIu5/dvy/PF59uuGcCOl2w5xjTlXgaMLu09ww32CNhcMHEKBa90DVilaZd13ItynykedPsJc4HjM0eOnNon7rDtSKzIpPfbVQmgs64OdW62Hc9bZ92woDA7XnNjPJ+z/Mpu5R2nXecB7O4XLq+CTdUMI/zJXsz5PEYwPgFY7PZxHVEiYjOznidPnffvVJrB+4P5lWwut7TAZpo3jM2e++smsZ7TDDzXtN9GiRp4vqQ0hmCGdJa8b7t/P4M+kPuJ+nG12slIlpyH8QcUMxdu2HewB4SfXnzsKYNjyscsYbqfYJet/GdmGexXwVLXVfNaL7DtUmNZuWkfmz0XUfruye5JqnpKm79rm8ik2NZzmQvrZ8JOnEBdt9dL911rs9c38M1oj/jNz177/X4AColoG3Pr+NsQ2QSns2YgeT9PPbUYD3brqOS23Suax3D84X9YZ6rHjWm0WAwGAwGg8FgMBgMk3i+e2rXy5NqJY5HHP09UMcL0fheoiaxs2l9wbrECxcRuWQHTjxR94qdwve1tdc2iIYG0RYwiykiI5zfraKLYDpW7Nq4LJl5LArJES6LuJ4NnGHhCnuKejJpmtBsOfN5zIFLqrsOFXWYz6Um4hK15BD9V/ostKfUReTvfhS3ttiBMC8yyZv2LCVF353hKJHSIvqtGd97OErCZbLpOso5utdlqh2VbvZ0msaU5vMVLZcuoiPaIG5jRP0kKpwm49qdWh8DPYzWFda+7xJ5JsQzAbmwf9rpsVdMlUTVRfsZv987muXyOnScdN8Z6yPlPMoTOdUmCSVZ6utCqnEJ4PzqfS2sAq5fzyeoVyQaT6mRF+uJ3n3/joiInp4c89Z1DV1cvHTvRT0s/iwyD6QWGM8rWsuo61KJO3PhtZidui9SrxDz4Ylc4oa+p2ob1ANkpg9aHsBr6OY0Y5YPuiFojtAOFbMLqC0ompYybi84grYN60vbOhjHYF65zZmNBLN4zv+Oc5nNY21cp9jxYRjkmvBd2lkRrML+aVw/8hgYBrfOYZzDPRKAXvr8miPxl6tREgKi1cKoQ8udxcwBosaIhH/72vXhX79wbPmLszO627j79G/4u6UmGY9/RK1Fo8rjUffzLWtyQl3dfOn6hrC4XONxu3P97P0f3rvvVo6mx0Df9bR93AhjJ3plPt81j/WQmZpBT5fDIR26V1U3lfcQrRq3qWJdgSzz+ixkc4hLu8o+EoZmEXsTSI1qVb+RKHS7jLWVknlTM0u8O5WmcaB6X0uGC7K5tP5J6nBnuc8K43qG4kbK1wKGESw52BSw6Gg/3N/3Pzi95N1PH6hh9vzixrHeV68c43jGTEw5i/djwiTxGoMxgKyRcN8GPaSvUxuzlkCWn6atkySh2bwM2GWVTaGcMtM8kwyknrV5yIJB7cuC92ANtwsycLD+oPbgqxd8L3i/+Luuk3745veujuvdhx/dZxaurV9+9RUREV28dPMZMnbANMIFHfuikC3vlDu/ZtlTpZM8Nrq2o6cPT3KN3heEs/f4mQBMXp5lfv3jOQGZdp3Kgut1Fo3KAhtrehOZl7wfQhGd13zpz4PI750f+l10DkCot/T1pGNWF/MNzu+5teaNaTQYDAaDwWAwGAwGwySerWnsul6iOGFdIaLDtY/wRI+nXO9YiigE5/1nu+g7ADy97+o4Att1nUQH99vYMXGua1fx03qqaqUhCnUxj/WU87IUpjFTur1eMWB4Wj8m0iyj1cVKIjbIs5Zc8nmc17woCjpnTeiLMxf1AQsJPaEwkXyNNf8dWkjoELMCrobMoqUZXbPudF7gs2gL1+45//acvxv61Fy5qYLt/MCR8LdPT3TP/98pJ0+N/ATtjN/L8zKIFoOZ43qIYOekPlZCxRwRHLiuddERDGPo4kfkx0CrIj2IMnVdR902rrc46l/CfsXnhUiiaDb43xGBbKp65JaKNl1wxFdrdI6NhLgm5oR7MaJukrFANGJecQ1oH8l2UFo3ZDQgqlZx33u4d9HTp/WdOP/hs7gPV6/iyJt2A/VMIzvT8TwT1jr1NTlj90FobUSreaLagUM/UF01VDPbBw0SWEDo7MR9LyuEEfNMY+xw14A5ZEfCpyf3nWAURo54CfS1pfwedH5gpnAPwDTiNxAxz3O4/B2u55qmCXXdYd18wqwl9JA6yn0sDF1P+/XO94821tYj6r9gnV8xK0aOuzo6jeuF2+HVK8ewXL685L/HbtnI0Hl5fi7tj7q5D1fx/UQWwtUL912SbfKIGnxOC/mOWcPQjVUzAwDY1c0Tu2u+ix2Jj4Gu62l9v5Ex36msA2DBjMjlyytpvynosZ3yHO0drR16VYt0vVuP6tmhXbXz4dn1Of+d2bCJms/47qHvR3uVETO6j92Pj42E3NjCKWo9LLILugWyVXrJTCjh/MuZW4sF3LGZWeT+ePOVY7le/4ljrs7479CM//b/+S0RubXt7s07+X93HuyJwewWtL5YL7A+3P3kNLZgzfbC2GIP08l3iSs9tHi69u+JKJYkTalclOLO2fLvTLmc990wqpHo15t4f4q9x+YhduzFmvWnt85B+ZwzOt48Pop76t/+7f9NREQ///w7IiJ6+fI791leJ26+unHny+Ng6rlAdOxpQukAx1zf1/V7wus5Nrqup6e79WjOkDqN+nlj6EdrNLSCpXpG0K6qWjcNJjlJ/VyPexw6xhMF7qhlzBZCs4j9OnSVRRZXqThfLGSv/7Dje89ZLND5Tq2pn4IxjQaDwWAwGAwGg8FgmMTzmMZ+oGZf+3pUyAvmyAwHmoTlqLZ7iWxIVB6aDM5FX7Lrm+iKOKqzX/CTPp6swUgGNY4aFelDnjciuqtL6NRid1Qwd9AK4okbOcDn84XUHhQHOc6pzxEhVnq2YyJhTSPaFW02Q4QDTrJBvUQwhjN11G60iFTsVN1GRCy8qxVHgDKiNUc18d7HDedTc6T34oJdKJnlvGGXQLQnoiBgPd+vnSva28dHqSXj9bFx3rV32z2Rzo4SyrJ8HLFDlBHsYBOcz1S9ph7ar1gbBIQ1RomI0py1E2DY0lQ0TTv+7Kdq4omTcVATjyiswQOWpZE6WogUIpod1hck8jn4RwfX/NQRLjgTisMb95e6LLzzmmpTHD3Dyto4/g7tOAeAedvtnuRv67Vju3ZrpwuDTkaijhz5RgQWcxrmJrTXnKOD5y8u6JL1Hui3UvPuzv0uaufhfh8d3M4+Ag02nPteojI6+tbr0+C0mseum/h3sIPoT6uVi/JDrwimB3+fz8+EYXx8dOwVmCl8F1gKMI1t20Sv4bIKSJ22vBAWc9wEp4lWa/R9T/vNPnBNjVlEAH2273pfI5TXKjAlmPMLxXroqDU01sjeQMYGEdFP9+4+/cjHHbt3ynlBw8V983IR+wicn7v5Gxk70CzNfj+jt3/3loiIqp37XTDE4qZZub/rmslHwTBQ13ayR5B6mDzHoW1k3VzOROcIJ0hoe3FEn06YFb+6ekVERK+/+0a+g4iI4M7Mv3n/5gO9e/8HInL1K4k8ew+Hz6ur10TkdXhay4g5LRfdor9UrEeYo8WnQWlFT+Z0nSSUFbl31EV2CJzb97y34rG+OA/c3vkcsXbhujHvg2m8ZqbqN985pvGbK9dubx7dPHv/xt2bPM/E7dlrwVlXx0zjn//Zr9x58H4HDsLfv3b9Fawv3F/FVftxG2jR4zqb0FaiL2vfgGMhSRIqZmXglM770hz1P3nug79HkwpbhT6D+d33b/7IE1y6XR988Y1rc2SpfXPt2F4wjZfLpfTL9+9c/37z5nf8W26c3dy4tj//0THouCeLtz6TgiisFcmM+9WZrJEyNyPDItgDhcdjY+h7l30lfhPe2ZXI15ttFrzfz309Z18DPa5AkKP2K69/2Cc3XZy15132maHMPdMI7SKOK+h/eS+NTBJkDALI0MMR/T5LvXcE3F59Jii3hcqa/FwY02gwGAwGg8FgMBgMhkk8k2nsJepO5POnwcpINP3BRYWe3j9JzrJ8Bxw1Fz4qTxTUm2JXOHGvVFE5RPsRESDy2sSsi3UA0Hd1rXYwjJ+wwdbs+f1ZkkoUARpGaBolX5uf2pHXfEykSULlvPQ57XCr5fOTOol8fNzt5PwQ5cB5oS32nKP97skxHD9wFBrRPDA6cNILHeDWwpBxPUa+B4icI8L4WxWxSyaiRa24xdUS9ZCad+gvqm5ZMsXufSGSJKWimMm5ihOW0j8dcvMSFkexo9plU2smMqW5BSNezAvaPiQHv6NTTqeAbh9d7y1femfXvELduNiNDZFguJhq17ijYRiiOq/aeRiRujKHU1gr4x46K2hUGuWUrJ3tpDYrIptKb933vbBYNbuB4rfQz6XmpWi2VR+EdhWfk9qig2Q/QJcsNdvYwXPDzpQnYxq5rQEweTrCC+Z1u3uiTJxLmXlixgQMCj6LumvzOV8j12MD63R56XQyVzeOuZ0tZ6N6lNBFAmBAwdJcnLuIOLRTRVFG7/MazVzqv8G1MVVjORFt5amcJt3Yh05GazvhNIo2WCQLWtxyNgyzeKKn4v6Kfo0oPpgyv7Yx4zV38/cPbxyDmxUZre/c+gtWEKwKIv9gENEnH3jNxTy2Rn22x1gHlSSJz0YoYm2bALXJ9sfv18h06gIHdSK/dsFhc8uZLN//9pE+fPiBiIjuWcuMsY7+h3Fxfe3Yk9UKGQLuOqHDw9yAtnl4fEs//vg3RORroGot8NmZY3H67vDcjfsi7vNBLUhkpQh7yv0CmQvCrs5PkxWSpG4PMrWuwPkUzvSXt1eiSZT6dKibrRj/Trl3I0vq9sL1Q+jJwprcYBr1flAyTHgv9NWlY9TAvGSBfoyIaPe4i86t3lWybmtXXu9gjsyqOGvlWEjS2LtA1keVJVNKbfBC1mis5cjUQzthbUMdVczpYDGRiTZXTvfDMAR7CjgH8xzE/fzxkZ3I7x2TDsdRqcP9IZ4HQ/3pi6/dvA72UdzE29O07SEkSUL94HXaRESzB8WAMro8leuCp0eeckYZt23dch/jdgPb5xnquBYlajgnSVADVOk/W5XRiOxCz3ZCrw8NZhO9f980koXyuI/rw0LH7TXhz9P6P2t32LMJjk5ZkPQlTgWRh4qqkcLXgH9I4I6lLMUxWeqHCCn4yr9R72svVucG75Qtvy70DUhjKREuymk87fd02cQ3ARNZxX/Xpj/HRJImVMz9xICNpT+6c7gbUGC59/cEVszY0NaxeQceRjb8YF/xa23pLjbYeUYtdz5seP2D+5rP93CqrjZx6YNNtTv2nkKX4vVxGgw2OimdZsOXpgmV85kvk9EhLTcW/ofFuHPp/2qgBw/DRL6P+4UW6RuxRTvSp9M09YY7T9g0ohCrtnGng+eA85VUGiwG/UCtGC1w4EZtVHFeo4ejIwOLbyOFlrkA8SKeKHfrnfS1Bw5uYPMsNuR8L7CgjlLAkOarNj3D0IspjMwDMLtAug2nNPnSBPzQdLGPrkMveMW8kPSyTopKx+MP6X1Y3I8NFJz3D8ko8wIjHJgs+HNfcjrpOT+w4YiHQgAPbGIGxmMWD22jAOBy5gsbawOCLJYBXFy4B02kCeLhBH0XD414QA2vBRCTDqQHZQicnC4Y0rWdzF04N6TkIhVXjEIWpaxB4XpGRJS8Q0AOqa7xGqVTu9FueLhIkkTa+v5nN2bkYZX7M1Jh8fcPP77nc2DzLP48HpDwENo1rayxmMO9xGN18PyOCRjxSaH2Fn0aqXm8PvGmdr2+o836ns/XnTfSKdHPsJm+vXXpjb/+sz8jIqLv/tKZfqAvI1gFc6C2beTBEymB3hAKNvruNQIDeADVwTKdyluU+ciQLVFpfDoQeWxg/sAcjbUb81rJ6eFIze+7TvZZuB6sg9jjoa9gjkY7IECPjW+tjOWaqpGHH7T1w1v3APPTb3+KvnPN6dEzvhciv2ni78T6mJeFnJ+UueE1BXM2Any49mNj6N1vafIFYx97Opxn0vUSAEM/wR6irV1/hfwCc9DZJRerhzQLZXZYBgBzw21dixHdcuk+AykA1qrt1n03AjBSqmqFUiuH59lqV9ETz3d6DIhhXBvfp1NDyiTxfItrD82HsL6hf2eBUR9RsEdUe29t0qclBkSheR7PYTwn3/F+p+bz+wHml5xGvFSyM6TIIhV1W9diOPnw4O4XpDHYx7e/MAhi6akGg8FgMBgMBoPBYJjE89JTh4G6po2s5Yl8NAykGyKu82UWfTZ8k1g3BwWxw++Up3T1GqkDaZ4KUyNFcZNYOCxpQpJGy+wD7LX5qR5RGzHdmJVCMSPNoYF5CdI3EY3qn0ftfi6SJPEmPBzhiMxYKC4zIGzJ/8vem/xKl23bXXMXUZ/qK2/mve+mn58NGCH+A7eQaNFACFqYFrJwB4SQBaKBZAkkg5DoUjSgQQvRNqLnP8A9i479nu97N2+WX3nqKHdBY83fXHvNOHFfnpcRV0Ks0cjIc744EXuvvdbca88xx5i0KNAsQizDSFlKMoh8FswiInVrJDsw0yj0OMwkBntnzfga2wX75RgcQKamaIuYUVJirHCZan5mjh0bRRka61qrBua0HruVBQ3skn0pGccYmUbNzpIp1PO10jMMaFxT+FAa8rQhD+c/LGEavi+yPoxTykB2bScj2Dn9vrlec0rByV6frIxPj8eye8vwPZsp61ANcMpYVWB219hYk6VDVD5Kqx547Vw5LyYtsE51NTKjFzKpcYw1a0cJkF6/C71eMAasMSvtJts3MKdgfnePmHeQRU5fj42iLGQymxiTwivsG2zIdKptfeYXVk4Hw0h2mvnOWI4e03JVxoeyx4uXZLXD/KrHtc1xa1NgcUqZ121aLrh1P7P+eKVReFmWsZ3JOrAQMUv8h8uJFoXIZJay3LAiNp/IRLedZXth7mpKhzR2+NYsNo/dHI0xt7IDgSm8/hhYMZrdMwfWy1BWxj2VuOQz5GbadBNeYamH3w9sDZUnMmZRDBlMGA3ftiQ2OJ9YqTTHNVEWeqxGIJNJ+PnlLwPz+MUfh7F5/avX4bN1vt2WKuPAGK3Z7pk1wcAz3qxtK3VVxpHPhMW0th+wzWU0OvHxf/2YMky+Fcep4CvErBRRf96uNsb4YlrIe8xIROMmTeHZc8CSWDndSsvpMD1bb62MXvT14/tQdlz/cyQ8Wlqtc5byR/YgrLelsuecx2g6sko1i29j2Ds1J9HPOom5kwSWaXm3jNVO3MvdtW2sbHYnSy2zpX1C51rFcJ+jrJ9yYmJ0rKDTeDPY77If4H5A2fV2q2OoZaqrJRWFoSpkqnHY74uYu/W4HrQjS8vXqXhjop2sFVWfsrqlfg8Gm77FV1WXdh7spa3CEeM+9wwDI81+feSedbpBiyiqJZhbtEgzYx5lua0qbJFWP1m7MqtIEPsOjhfTPdaGVf1Y2ezzKnAy05iRkZGRkZGRkZGRkZFxEM97xCwKKarIPPF0ay03+H2d1oiLDDJTTcoGRuF/mfy7vZrl/ib5nMl0HE0wnO20NcY8o8VGyp7xftNkmpZJM9TbnT2lk/ElA2GaqUXaLuEUQCBPJpJj6vGK0a+u6qhdIrNGJm3nWjG0zjaaLMl0wZhpzfuAybLrjPaNBqQzmLO0qbFvUO1ZUND3fcy0j1LjEv9Zp0JRFIkuhHk31AiJDPQERRGzrY9knsLfelMfr+vhuvUFTEjKFnZdt7e2vDbPspCjNLsev8ON8YDlLY3ZfNrOn3EYPTPz9FyYVb6aWZlueZ0aIDTbxo6RrPxO5ydzyvR0mGFV6Zr2hhLozRZnV6Z9Q+fE3CMry1rwTFvjtJhW6aAoimJPNx01u3+YPF1RljKZT6zR9nQSYiBMI8wQ2sGzxZUxURcvwljDRFsmEh0bmXmY9FGqVcIYAe1cVZWyvNe2OxpPYSO2qjlarUMW1NuAw6TQIN0bBqwf13vjzzmi14xGRqcde9PW74gdqgvXrD8xZLfZGePBumY9+0bZT82tITjXYUseWNqb66D3eqCFiq4NGNDd+lciEpkfM7FZpl4A6GGfQuHyzhyPnICUCa0JRnY/ZL36dkRlSauXRVKNIxLZSeYorb9gGl/98nXy2WTpH+8YM1qBNbHdkTKwu134bPRktJNZ338pIiLdm/B+4gtM0lbjS7y/7/skWIsF4toJtaP2ncXAa8Ixn35eUoUmMqjWKdPYW1trIjWu0vWyVNYJ/eG7j2HcGPvtdmVzlrndu2oCxge2E7MRYjf3ZBhHmK7Rehzve9xDXKP3wUkeGKmfh74PrBDx0xhzSSv6OIfVw9qYse06vRcB2EH2ddw/F7oX5txuldWlWfyubeyan5+HNYH+9+FeTeh0vj8q07jUtcGaqWxvn5r1VFU1YNBT/wAzTYqDcmC0fh6KIsRau884ZrGptQJv0B6DmNH0/Fta9eX1mKW1Q0kZY0yjzIei66NZon5HbCGWmunwLMUeyTONXk/ZdV3U5KJNp92Mzh3/vPZTkZnGjIyMjIyMjIyMjIyMjIN4FqVQiGrc9EmazAJZDHMo0wz9+nF9sCEqTBZZHp9JO3jA1PKPR7FJpjXALZPvj6+a2ZqkjIFl66p9lpOndJhGX58PqlPoZopCqqpM2C2RyB42rt57PO0tm1c6h8Bm6xqKoolxrpPo7LwF8tC1k6Sm1VHXaV26NQCeps5q3o2zHXwH50aWLTYCLvbeewoUZSH1ZLSnDbR/d66bXddZltW7R5q72l67EF4l+XdzQIVlHziG7WkbndNvt+mSf98/3pQhreoqsm1TslSqe6AZ75T6+NOwu4XAwoXzXGN/bzquTXI89aiKWcvZOHkFHOuhliw+EY/D53x+aXom0/3NaIESsrG4f9racs7OxuIvU00S7JHI/hzw8e1UGrAQqwupVdPCuZIlHinTSEZ6MpnL7Cxt6k7jea4B54UORA7ojb3mox5VxgDA8DBmZ1fa4uBxnPwt89c0HDPs5lOWc/24lp3qItGHoCUrXFPjU8WQXkLmvB6nerPC6Q+tRUTfmgbJXMTdOu+cWyznhI4uslvq+qfn2natWePf3oY2E7gdwrLHuJWytmOd/6b3sRgE27R/7m2HRpX2IqrLk9MxYNaOxGnHfcXLEOahoPPoTNf45dvQ4uVKWXFa5HA9mPPsA5jHdT2S8ViZFdeSBnCt1i4+RK1/OqCmRx+EhOh+nPoF+H8/NooizN9Cv9f2IgfibLtrrGqAOUElh9fqUTXGmMJ24UyPYzb6LpE4zx8fVVuq68Hc1scpS3emDDKMo2eFeN9us91z7DTdnWu9cSr35a7rZbva2n7JKjucd8jQdbx3+wGYJ+5hjDkxnGoC5v9GY+WNOmxuBto64hX3hsXiKvku7peAec5a8Z4i5iTednGf71yh48+i7z3Rfq8oZDwZ2TlG936t9OAesT58Dxcde9hdrgUxhmvAPssqcPS+SruMtuvs+7gusLax/RdVM6mGeGP74rSSyXxb1lvTQ9I6yVhMWor9FfXQmWnMyMjIyMjIyMjIyMjIOIjnMY1FkTgrkt0gi4H+hMza4+1jzK65jBjZnFgznz6/Wq875/JJpqIsi+ik6NhKc7dEszVNn/ytCXeT1jOT0em72AvK+hPh3od+B13YgZ40Pwc0/RyyqiKR0WokPd5mu4uuWQMXvfCzskk6/NY7yTJtaS281aWTHezBDWpAAAAgAElEQVQ6u1ZkknwWiN8znmSNOP5q5JitcexTUzpn0QlssKROfqdy00InY2PbpHpEMpRllWakRAZNmSvY3FHyHs6TecdnesZjyGaaTpfrNqaf3k9z6fWZM2tQP2wYDeuMI6xr+H4y3V1RSFWXNl7dgC0S2dez9f1oL5O258hG/PDnomDtExPOzgKjMB5PzUkRRpFMIHGDCgXrmVamGm7mincw7NpuMKba79XFj72m6CcCWWF6MBaO2YR9msxn1pybceAc0NfRGBumwLsAx8bzKQNbLKb7jnNW4ZDONYsHxG5cV10jYvpatbtW+l5j9Z6+T/R40ibwR4c6AjOvo4Mh45NWjPR9H3UwB46JuQXDYjpE/RknQ79mVqv7vSbc/AwbQz9B3BGtj6RjRvkZB8a2bWLTcBhRHfMGN2BlHYjfx0RRhPni9d5k+mNvw3RMROK8g2Fkz3KlTKNpZvUzonv70w3Wp9Mzmc/DmmL8cG2FeWTcYnh1+nOnxbR7dh01V8z3Qj+b9VHL8+4Lz0awuo4/Ws/Ap9mJoiplPMHbQiu7dKyY/1aJ4V7vH8PcjnM5/eyuiz11Yc05b+Lb3V1wCkarbbpz3ZsslEGOfZcjy84aXN6G44i9dZXVp6fjqfwVtM8rztoWE92e9yn4/TPzw3R0VGi4fepW4wuuqaCoYlcCqlG4RxA/YnWK+l/UaSWOaf/1O8ZVdIdnTFu33/cM43Mbzv9UFGUho8lYirJJjtn2f+ahEt2siQU2Ls6xtHJ7Nu4DnmGcjdNnhl3byq5qk88C5iSv91pYTXtmMdY57WdvXROWG9O9mla6TVn2vf3fT0RmGjMyMjIyMjIyMjIyMjIO4q9Ek5Uuu299Xej1Z/qVmfWM8vXh3mEysjBp5pUMRPGEoOJQPxsyRbF+Pf07Y9GcXm74d77PG1kmMpYXM9X9jPf1Ez8XRVHIaFzHfjdFyGiSwTAHMNcPSSRmRs2p0/re0J+RzET6t5YFH7CXIiETvpfVaFNGkfGz/oQ67t6l09wpVWcwnYxlDANDHz20g3pcj6q7eVyufu+Y/VVRlqVMB0xIsXlaW4veZDSJbmtkxYxFGafM8NCVVWTQh8tcq9DjPaE7nKQanMJl8XzmsDD9kZ6XY4HKsogZXMd4Wt08THF9Gp1M+OpiTzNp7O46Pa7xdGTv9Vk9sng1TnzOPRVWGxYTl0Q+e/24tvcwH9EzMU9x+StdjGrUlbNo00wwMWI8GQmKCD9HjPklZv2eLPLPQpFmjWE2a7K+ygTNZoFhmUzHNg9Zx0vVRNAT7P426InQEJJh9qwp7pB8Tj2q9jO4rjcdTFqhGmzT79DbCkaFdVnG9zHGpq8zHRg99YhLp5nXXdfLbrez9ex1U3WJu+y+SzMZYo4Nd86uTdlT65GmTIvv72lzs9naWNI3kJ9ha2AeV6sH/X3aT2xYZSIisuPesBncZxjbNtVYosGEkTw2yrKw2Oxj9LCXrkjI1hMPWdMwivgwnGnvRK+lJzag76UaAdfb2c25zOfhd4wz50wM8lppYyr0vjhyc3u8C7/v2s72Qe0Btmknev1PRp73sts2e+7h1g/XHEbD+8uq3GOHjOnHbdz1yz7k0RDfF91pmcM40wJ+T29MWDD0uoy96c84Xu6Xgz7UMMXEJGIW+5yyPhHTKOGcbf85dno/qvJ07GdnM5tje5o3132A84ax4vewXpf0u1VN9PliPuhDrZpUHUvWOGsffwDWDj2+2Zs8pTFmDxmrMf6wTrW4ipdrrrn+HrKf+0oTqxiifjStGBtX6Tpmv2B7Eyrr2IsRW9ijVJXUrsf5rkoZY/aSplVs0srNoc41HHd0o2Uei9clu4oyq9j8ichMY0ZGRkZGRkZGRkZGRsZBPItp7KUPDkhkB1wvtPPpNHn/eFTLih5EZJQ18x9rdHGuIsuzS362nn/OmbKqqkGWgBrdfQchkX2Nzl6vq51zz2o7y9yQkTIXR33yX2j9/nT0vKf0n4KiKKQa1XIx1Qz+NHUxnC40k6xjuVluYjaP7JT2Auy3aUbCazSrMmVmvDYMTZnIoA/ZjN5HyqK4HpDbVfhbaqlnTcpEWN/HupY5WVfn5Aebs22e7sV5LBRlIZPZJPbc0owNTCfzkPlQlNHxsnbaQMvC0jtQMzgwLjGLrboYzUiRDW13jWWMLNvps7A65/nuQ+6p+/qZgQ5pmzIhrM2Zzv+RHH9Ox+PoIwNj55Aeu/VtXG33NAf0nap9b8CLWfI+5h7xZqXuiNaLtYhsbHSPTa8LaxystmT54rmE43UZ9KaNjH/v4sgJs9VDUK0wdv1GPcgat01n8cQc2nQMHx8Cw3infeeAzXPNOJM1JuPM31d1afHe9wC8/Rx0dzfq9GlugKa/Q5OTnkdZxvnPOXh9Hxlyez1hT12RgTbe9QbsRhpDdVlVo2qvz6qfJ8SbyKQEhmW9fkjez7kPewb63o2A30cmMnzWbrdO3gcrB8qBL8Ful45h/N60cuVkWjuJLCzjHXvXqpZer/doWtvaZg9g1QTOlZf3cX+fL9J+xWjjHq7DmM0+nBmrNfautDY3U22oaVxd32PrLTvoA7t2+6TWuewao9SfyBG476Vr2uj67F3F0b3GP5DdFj2VajyFWKuxW5mrV78KvTBj/0bVZ7rqLutZunowVpy5SxB+VF0d1Q6wu8SN8UPqd8FnRmfnyEaXbl8b94V6HifS+vd9L23b2jU1htN0wxob6tj3ElYd5o79ws5pOc2BVc+Jqpovr4KW95cvgq6ZPo0/3t6Y3vfsMrDwxGLWONegh3HUsbx8rf1RdW35qsJm20SNrnOYB9YH9EQeFmVZGiM4/D6PWM3Qxbnujtn8CehzbQ7fGuipHtF4RVUijOOw80JNRZJjA03D36Wvdj74aThn39GAPdzTTrv31OPMNGZkZGRkZGRkZGRkZGQcCc/TNPbhyRftU3SySzOr6NIWg99ZlsYVEccMSZpZMPYGnYjLCJRlMXA0Td2LYLyi1i58BxkQn3Q3PVinT/d9P8hephqzif4Mw1ifgAEry1LO5jM5U+aW72j7dJxjFlCk6+h5l/aKQ/9I5hKMDzgnke3rhuyZ1U+TOUo1jKZXbdJsCawCbM/GOSKuq8r0Yr1LduDuxeupMte4p5IVg30yLYD1Horauuhq6/oRkYFC2+iyP9HJTDUvmmmmP9p2tRkw3FpvruzX403QzdC7yveGNLarezrT3/d9XEOuT6lnoU+JQh1URaIGoB04YYqkmdbWZ9bqlOVlDK/Oz9L36Rxcq77ufHmWfEdVlbH3mbteZHQ7y9CFz9yRCW5SrctT5+gdNKMDchoPPZN8LFCtYPqK6/D9ZIlhnXB6LJdV7E2n+rl7ZRZvbgILiHYruumF7P7Zma4ZZWLpC8XcHcZuYgaM/uMy6OvevfutHl/4bt9DczYj6w2jjJ5yYqxjb/GxSl6J3U/p4o+BoiikruuoK2qJWRoX1t6BuTSdT+3ckYf9J0WGTGMYp8fHoN1CtI42FRZAZMha4n6KNl6z0qZF1UoHp72DlfMxpN01sl4+fb/zOk6uxTFRlIXU45FdR398ndPaV5ORzcHo3J1q3bgXLWZhLF6dnSWfTcWL77k2moxkOlG34XlgZqoa9krnfee04sSTA9UT5mi+jTdDqwZRlXTRpBULp+rTyGf3LjbbvcLt/dpdI8tlYAMfHq5FRGSra7nW+fey+DL5fPZdVsFUxvUhEtfLaDSRi4vATsI4Do9R5Kn+pWH9PN6nzHzltGL1uN7rKwjYS7HvqU7GNIZx7cZP339hD+s+VkwUrnLFM3aepURn/vYqsIEvFtqLWPeY19qvsZDC7svoeF+8+IWIiNxcvxORqGOm5y/7bI4BNpPf47493F9YFwRzUh8Mhuy7+h8LRVHIaDqy9e19JsCwmsj3m4xzSGOJxhjreY7+2PlMWJUAVSTt1txrVxs6ELiqGauAg62lN6Qkx2T60SLq0olVft9n94c63UP+VGSmMSMjIyMjIyMjIyMjI+Mgnqdp1Dp3cuPGasEWtvxLzNxUf0l2l8yVPfGj+1IHJusJ6BjKqq4GjqYua6uv5hrksgh7vfAm+1nRwhxAlWHULAKuUzCNp8j0FSIyrioZOYfMiWYy1zWuhKmmTiRqEL2GiGyZr5kmy3mpmi+v/2x2jTGJ3gGXDJh3CS1dJnijbB1Ourj0FVUZM7macYF5NKZxm2o6jo2yKmV2NjOnSN8vh/nHuddPZAO9HkmcGxWZVMsw1+m8RTtXD/o0+sw4Yw7TyHGVVfrZpaAJSDNWIsM+pGSanJb3QO37sQD7xXnz/XWrPZKqVLfD/BKJ42AOtTC/TqdWw9DW6fvNoZaYMR3vOTgbO6/9uvw8xq24MQc4PS8y5vSBbVubC15rbBoqPa6TZlTHtTEqpfUhJRMfXmHjuq41dggnQnqfPT4GTeN2q/2e+vDzbBYYFlwkAVNueG6sK9NJKhtpY6vOk7e3H0Qk9gijvySM21xZHVge6TsZjakgYd7iUKtVIuP9OHkKRC0hOkPV1qu8KPamrAYOvZPkvcw5660luCWro6GeK783pviJ++zZ2VVyXIzp2XnQMX3xxZ+E169+KSIiL798FY5JM9Tc36NTYytVpT0dD2qnT+u8XI/rw+yK0291XR+dD6mGwtnU6Y+4n7NfgQEwbZgClmE0ro1RZP57jS+axtjT0vfn1Vfrn6v3jbKQFifVLmUHmjKtdjglujb21bO+h+rCicsv1UXr9aOtXZhG1vRC1/Bo9FV4dfdH7n/z81RL+wXVNY//mlUavH79R/Z9IpHRZq2jM+UaANZTnLcbOxaOhxjFvGqcM+mpNI1FMeivPfj+1rFNzKNKSps8Qx2sSJyv+BSg3cUlGD3dh3t1YdbPfNxo/F2tLG4To16+/kJE4v3gQTXunWPBcPzlXNhbgv6JajHWn1UXrdPzOTaKspDxdJww5OEffDVIvB6eKTQNo7kfh2OGUY37cq0E1O+6caFxt90Nxi7Vadt11HlLz0V+H/fvsfKB8xNJY6Pv+WpVLa465KciM40ZGRkZGRkZGRkZGRkZB/HsPo1t21kmGRYL/cVSM5OzAfGEK1OshU+dschmxifs8JmNe/LmyR8mbDIbWxbF+iA5nd4wezNEMWArReJTeWksnEhRpn3yyBL7jGRkV4+HXkS2bbunE9nXd0UXJ3OZddlX6pUtOzLVrJ66yNGv6u1Xb0VE5KVqw9BPPm42posky2GOlefqiqoT4kEzgz6rx8+mHahiBrbT67ktt8m/+T40p8s8hT6NZNcKdXX0fSu7Jh6H9Y+CfdSx7xzLCyzzRM88nUswfs1gjXCerC0YGVz77j7e6XuVPYABP5va+Yjss4pFWVg2y9wdd6ke8i9bNz8XRRF0IXsulk73ZyzrdmSZM3M21flSDtgPEZG7x6fZQVhu09Xq6/pxHTW3+uozumT3vLvhfu9Wdegb9OtsnZbb/gaW/YB73NFQhLlQOV0tbCG6RdC2O2Mf7+6Coyk90fg9DBqfMZ1qf7kxDoawI+H3ZF5F4vmaQ6tqkEbK1iwWgRXzfQhhFPZPj8zwIEMP686/lVSSpJUox0ZRhOqVXinFQtDEwlSg0Q1zYDSubb1O5qzbNHMcNWvhO87PX4rIvkvpeKxMcuImi4YurSSArTy/CszY1S8C4/j6l4FhvNBqE+Y71RdUryzvl6brwpHWdNx1yh5xzscE7LnPqvt+jXYMbWf3LObJzlXgEFeobLldhjX/WbVwtx+DlvTug75q/F3er0x/a2u5iKy9SFw3UYek8cM5cnPfEN031XUtNc6G1s+TGK16sk2V/P4UKMrC9mG42u/M0TTMje1W4+n60TTQ6G+Zh7Np2FNYf8pxOneooEJf116GPUn7NwMDXo9qefGLEB9u3v+xiIjcfQrX4fpjiFWwnDDvkfVVp3fWDWtDoutv102Tv/H3pxMV3gy/IWF7ovtzup+1PUhRRDbS9WNkr9VsfRVN+P3X3wd9+veTwAZfLFR/qOPy8cO1xW0+m+t1eflGRAY9f+s03pvjr665sTnUxvtk6/S9Vp3Ffo891PpE+z0J885YwvbpCjZzrK0G18Y9N3AOnLffo0Y9deqLYt4JVbE3HnzWSvcefh8Yr0n6fOJ9XepRtXfvZ0/IHOE6PcUA/z5kpjEjIyMjIyMjIyMjIyPjIP5KqVeeisk68XSM3gq9RSGFadJ4Yt65GvlhH0CRqG281czeWv8ONrH/RfjsyXwiU/fk75/kySx71mrPoYisB0zjQC/JZ43QQjid4faEjpPmdudcaWEByVgOHZ5Aa1qq8DNjRJ05DOOrL0MG++osaAEu5+o2OZvZZ9+os9b9Olzfa83Cjj6qI+OKa5s6nUY2WZ0S7x7tMzl+Mifewcy7Cvp5ciyUZSGT+cSOEXbJsntPZMDKKr3mrfaSbJ2bJroPfs85jZ2moxhkDYe9N0UiW4N76koZNbRpOB9eaSYWJh6Yxqgdznv9N81sWx0/66Y+FSNTyGgyHriWpsdYGSsXfj90R4yMBlm61KHXxxPGDYbW9z1rds1ehtS7xzInPItrel9zdk6d+Yb/b/rMguPDIRb95hMDdQT0fR/6YqGDUWYIV0HrtdWju1sZq4emMWbn2+Rn2K1z1cahN0KPy7Wwcdo2dp5kzyfas+2sC5/x6uWXenzhel5f/ygike3suvTa1FV0qjQW1+mbTOekMc9rr4+FoixkPBkN+rppHFSmD+bR9CZ1Zdlnr60rjXFUrbn2TKOvpTk6Nikr7qtnhti5DPi56pvOXgTGkb6asJyAz57qd4/GdawGUM1ddIrleFJW86gogmM69/norI6+2/U46zqLvaw74sW9xgWLea4C4P5zmHc378M+5MffBufI7//8GxER+fTpB2O3LGAp0DrCllsIpkLFVXxEzWO8ljHeKasxjhUjIiITHGK3p837xx60MI56X1IXU17X60eLKVQieJd3zvNOx3ZxFeLMN3o93+laQFPOfuHx7tHmvx8rKibWK3qOeu0irJBzvu4Z68bix0S1lUV5YO6eTK8b3PrjHkOZuik9Jqkeis61h3Ro1jtQxxQnU6sW+833yWeObJ8VdXmwXBwHDPHL17/Q34eYzf1iswrXBhbeV0uUA6dUq8pyDDn3Q/ZfPEscG73ofrnCnT7tsQo45qGO1VcHMT5+z0Yc8jGFa4NWtB7Xg3tkes+kkmznqtl8NZgdk+skMZ5Oort/6Xq70v2gSHuS/1RkpjEjIyMjIyMjIyMjIyPjIJ7pnpqyWmTmccUkGzSE6YaUjTKtlT7cWp+RMq0btuyc6/Uy1FvxNM5xoHciyxJ7LVbJZ21xanIP2GT1ikEvPv52QkbS9WVsDtRE/xwUEl2uRKITZGWuXqmjZ9d1xjqSSduZm5aOu3NhY6ysVlr//m4ZxvmFMo91VclGneRw2DJmWa8JWSwyVL62nX41viddURR2LjhPwiRNenSqT/fkOhbKqrJMu4jIw03IWJpmQH+PLqhoir06+NhThzEOvycraxpH10vRs+/trjUmAc1Is0vd+8zlq4TdTNlcsnym7SO71Haxn+pAuysy0HLgHvfMvj0/FUUV9KNei8TYsm7LAVtifUM72LxUu2vumzq3GFMYxofrkNUmK2g6mnl0dkNThI6oMtY7/HtpWpene6OZhmwXf7/nwtuk18lc206FPhyXZ+4BWWIy8yJRnwRjEPVz6dqjZ9rlRdC4mGMhTPqU/qOq3e372MNLtdQx7pfJd6ET8w6uMFgwptYrcrfZc/LEtZLqFK61uVMeGcHVcyTjKRUWqbNh1P/Fc/Y6mZHT/3DMfSgEsRhhMfdOKxBuwzxvXI/T4fd7DZ25nW/IlMMQN+lxuuqUyXxix7nbqOtho/cmiyEVX/57RuznAXaWMTLfgwO6/iGINeZauEvXpa8+MLbrhh6EWgG1ehgwiTBVaU/R2Swwub7iyesQvauhyFPOqilrMGpOM5dBrz25rYf1gL0ViZUuq1VYp+v10mIJrF5Zpsf4eB/e++F34VyYh9/+829FJM5Hqx4h9jet3N+EOO4dndFREs9Ya8Qsjnes8YIqOOLJkLHz7F3l+zeerCwknGNfpc6hvnpgeN+x/zd9fThWKsioUEC3zL314RZHWioX0jm8W+/s/5lzL74In7FYhziPnrR5r27jqmFtvk07IMBQ0iOyKIo9l3dikmmN0fQ9pv04j4de2rYd3Cv4ffocYpUfA02j9UW3Ho/hL2NfeHwmwt6a8756G6rAXqtW94XqSKejyGivdZ93rZVk388+6vHBUmqMdm7s1tPU3OFjr2lfedHK088qz+1fnJnGjIyMjIyMjIyMjIyMjIP4WZpGAJNC5oiMX992e1qMvWyOMktqyGRMyZD9EYmZVjISd5/uLEMHyzCZh6d0c1rUz/JaDZ/lj0/nsZ9X6fqd1Mrs+L6Tu1MwjUUhk3pk+sl4DKkTYzdwmPU9FH3/S5+J5joslWkkg0x26Xt6itXVwTprmEVcUx81i0WmMOqplBWbkYHEZXI06K2lWdapZrmUeaQpqNebHQtVVcrF2cKOES0Lr+Z8N8wSO6asKJVpcix01A1o/z6ul2kd3TXaNsYcWk+gCT2/Ujc4zwZ4t9fCHUvbtLEvj8sew/oU5YkyqYqyLGR2NrXsXut6JXn31LIqbczIqJbOybTs6OmYzn+b5859dbKI2Tffl5K5T7zgb8b0OizJtqd9j57qVWfOuDBEj8o6O53ryVAUUteVwCMSQ+jVRyZ+yDSid4TdbpRJYU6OtUcgjMpEGUbGhTg6u8DhWjVCRbHvIDyhP5cyiLf01Zwk38Fxc5y8tu7YwnuVpdObSdSOoC05NFg/D0GrG1kV775o82wQv72+hDXgdUDMY3MXV1dBND+Pqv8iFu+2jd0juY6luTDqHHB6p/OXgRFDD8014t9BWVXR+dJpdnEONX12dZp4HY5f+03qHoH7zZ5b4IBpL11sq5zboB/nxvUHJha8fh20t4vFhbFbVinh1sdCncgZRyqZvOafe8/Q8dJX1liPX916jRx7eQoM45gU6T2D49tutKpou0rWokhcuxzj4+Nd8rdUKBF3cE6m0mEItJNUIKB15hqYI7h9Z+pKSXXE2Hq66vuLQVVLR+WWskzO6+JU7HkvvbRtJxxJ1LuHOegZz6KM9y5fTbe4CGviza9DFQj9t2NVT6r5N6dUq17bWQyq6hAP6CVLDCe+rO7CWD441nf2IRwDcYVjq+uo4WMkWXdUxJmXw+pUTGNgDiu3P7KqOKcJL1RHLTLUMmrM1hjO2pydpx0JXijL++vXwZ36ly/Cz7+4DNdkUtfWfeFeq9LOp1rpBsusn81+1Jxad0/ruMuB74JVMLSpnptnMXPgnjyvauFZD41FEQ7KzEl4aNukpZAE2K7rBvbffIqz2uWCmDA1fJa/YZlV+y5uIvk+FsTGfT9/w+ZhghECFDQPifTUNTvx0t5jD2zO/hiL4k1zfGvgUJ5a2gNqxaa2xk43LVXpu/6JEkndtBIMNulDNyV5lBrEB4h0EobSsvSG27kNMW0NKJ3abmkKjeV9Wi48sg1jExMM7iZpm+4W6v80m+yqLOVyNrNy4DsNdDfvtaG5bvK7wQMX49FT3umMmBhD38TYShS3YT6ySbNSkfV2r4zYl1r5siVbWK7Zr99M9F1nY2jzvU43Tmb0IqfZXVdVJRcXZ3tGWn5jN9w4WzscJ0zvvalEm948KWHzDZuHJhrW2oPSzb2EViouZ5y8OQTjai1N2ja2FmrizVgklP+E36ctJ44N2kDEDQDtefRBTrh5M88Gm6feG4XxcOyNRnSD7doCWAmwtfkZx7nmHvrterBx1nGx66VNuts2NboYln5is0/JKpt2b0d+MjOtqpT5xdyMrzbr9AHKHgZ0Du82u1gu7VqysCZ6V3bNpoY2GPdWfh1eKf1bLu8HD9hpotaSI4zT9Vw/I5RPsdkhacIxmgndwEBiuDkREanqUfJ7yoyPir6XrmltmXKc0RxCTT0GmyVfWmhzc5rODd9uZ+vK9qbnaSKi719Hgz1nrCcuSeCt9+3a6vgSh8yyfxiHXBy3knli04labvRdJ5vlxubuoUbgXc9esDHDLN/yxt/DKG1dLsP7Hx9DeePDQ3jowEgHtO3O4gIPphY/NAnGfGPu8wBqD/CLSz2WRXIeZVklex2RfYOiok0Tk8dHoftqnTf2/RpP/cOrxDnO/g5YKf6E+58mKlxpYuvKHIeGWpWTVnhJRecSnhiOdXptthvXygpJWtUncpnhZxvxpHvHpxIHx0JRFJYoh/PxEhOSYn1fyYj5y5bLtShjffPM8lLLed9ehTn36iwkj67mlKXq/aqKc29chbGba9uq1+fne8ccjitNMEXJkUtcd520LfeU1IyUsfZx86cil6dmZGRkZGRkZGRkZGRkHMTzmMaykPFsHIXKCEBd2eIwaxEzkvoZLotRuBIxb0vrS8iseelmZyVfHI81xNXM3cQ1BN/COGrmtD6PjTCHf1dVVSx30Cd4mChItwam8QSGFkVRyLiuzQo3ZiPUmEAzFatByRdsSe0as5MFNaZWs0EPNypmbjEAgC3Q81Ir666L2VqyfZ0rQ2m7NGsFazCbhcz1YhFezQzjPLaF8LbcDHC0lz5d+Y1IKPl9c3Eu5X2RHBssIJn8bsimHGCvyHx7UwsyzGbaQuZuUF4sEtZRzF6TwcUMIP0ZsPYa107Gft9ENuxQOaa3sPcl2MdCXZby5vzczKOWj2lz7KfMjmAObX6XKVOFqZWVMdKSgAzsAfawGlV7GfDWZW0tq853w4C6MjPYQ9jQ7aaXbpdeY66ftT/o04zmqUB2mhiISQdtAaxdRT02RtHmXJca4pDFpySMcjOMcPourQ5h7bZNLBPc0fpA4xHl8bHUj3HT0iwzWEkNcOZqMh0+vKkAACAASURBVLJYXNn3TyYYoaVxXn7P/DoGyqqU2fnM5pZn49ayTn7ebXexsXKfmmKZ8RdMtc5v7nu03sGYBcMsrsVqdWdMjc/W0yplOgnjxb3At4ZoPHMGnijPo2zeVXudBF3Xy2a5sXiKtKUepyzYkDkalvSJxDiyV11hzJNWY5gJUGosNiwH9LKDaDBEqxot/3KMt7/XWRz6PfXTzAdvXianKVSQvu9lu95GeYDCqrPKdF2WZSVtkb53L762aVWW7St2GN+wf2T+7d/zWONUF/CeEe0f3Jzns/Za9hgzXtu8jhUWyvS5ygRv5HcsUN7OPduMqw5IGIbSip1jjai+wyDLVx55CRH3Lv85IpEN7NrwN77FBLEHjPXacG/Z2+sPjrtxrfesPdvu1OWplG4+Hdt4huG+2RbtnqmdlXVSSaP7J1oYvbwK+92zaYgdVPM8aMu6te4NmrY1edtSGVZ7VbaWNnedq+KxOFB7VpgYNPjdNn0+Y49fjdN96k9FZhozMjIyMjIyMjIyMjIyDuKZmsY0I2IZGnRYLpNblqU9CTeNe1p3rTeG3yEyFKqnuiJEyiKDLAlMjWvkG+3mw99Qe0y2ceKYx5FpDuJBUZ9fqZ6Hf9ppVozMwDFRFoXMRqM9xgdNI0wjzMdoPJJmnJqJ+ObiZOAeHq5FJGZyDplekJnb7Tb2u+aAfhNtE5jPQy3361fhu635t2sinzQxHqX6BzJBsAOj8fPqrn8qRlUlv7i4lNaywmgC1DyjjFlrjqeSpzMzMNUYNMDuMM/GzvLf5msb52tsQaDZoXVqMgVDYa051GiK1hL3ykDA5MTsUh9ZNq6D08gaYzo6jZ37qK7li6sry7St1rArOp4ukdt1vVUijDSjvVAWibVhVtXGjj1dx9863V3XdZE91jUdDYFUi8R46HVEszBXoxfTi3gzrD5qNzxD3FsFQ2oIc3QUhVQDEyvm4GIR9GusSVipyWRu+koasz88qPB/mxpWrNSMgt/DNo2dTmxosGQaFpetjmZCabwS2mZguqOvL65Cg+k3b34dzufsSqqShtbT5Fx9Q+Tf14rh56Aoy8RszWvcPEPRNV2cD6uUCeCY0Z1YyyodL1oP0HIA7RYZ+u12FStCHGOz3ShbpbliKkSi0ZEytXgSnKWGT0OYjtsa2TvW0jE7x0DfdbJebmRWpfcM22Ps0vu+SIzfns3zDExsch7OlYoTYrpnZLquG+hwU52dN6CIZljr5BhGrgKF+0pVV3veBOJiDMc1rk5DNfZdL7vNzo7DKj5UK8d6hOXf7TaDNhYaPzGk0vfO5xfJz+io5/PA0Fy9+CI5Bj9/h59t3hI639brsL9ZWmwKY01lAjGNaxZ/ruOex/R2qZ61FvVgKE7DNJZawdfovLZKPp03XlNflsVeGw4qEm4+BH0o+4LZmep+3WebIRs6xSeqMPyeY/kQmEXarKAj5VpMpxg/6XXXOGLHXRWD+3PKfvEd7FPXJ2Qah9ivNuJ4YtVCrKCj2iC8N5rrhTFmTcIO3jykJk2AWLJZbSwmmP4TkyzfWqNK76lmbqbx7SnDQN+m46mWd8PP+qnITGNGRkZGRkZGRkZGRkbGQTyfaRzX0k3JLpIlDv/uHR+HDaWbvRYQZHdcU/o1jFeaqS+eYKTMhXObZvpg4NClnb0IGRDc4bACXlyqZbxlrbDCjg1OxbFD/B62ZLN9mn37OehFpO07GaPFcc21zX1Jr8N2s7OxILNEfbV3T4VZtKyoWlB7NzLc8ET22UevcYyNfkN2CBbj8uqtiIicXwZ2g2ansdl2HTWjTgfktXun8ssvy1IWk4nVnzO21KtXrqWFiFg2Bz462ubr+LgG8ueL1DWLVip7xzL4jq2eP0wa2tnHh7TNCRnFjbesfsCaWRvOjmsZT9H8Mn/0lXYr6IlPxDRWZSkv5nO5Vzex60fVYzXhnPaa0TZtdKol44ajcJlWAFC5wPlf/xgY9c8/hGbQcby0qX2ztQw2upzIWKlu7jK1Did+0Kx3Ok8zjDZXyjIy/qPUDZSs3vx8kXzmsVGIus+65uCm2VW9cduGcRqNxjIeX+r/py2KWOdk7wFMwUzn97nFV1w4lRWu6xg39Xhg0hbWbiZ0sbcYo/nMpg3MIswALoiXl6/tWPkbdErjqTrE7unVTuUKXMrZ5cJYGdMr6s/Mj2GrJ2shpKGA+dvqsa61HcHtR7SKIbbC7vIzWlB+3/f9wO2WbLmyEhqxyOb32mAbfVqtOjGYdO4lMGK7wb2OUGXtcTqtEFkSA48vckTTGCuGqAaBAUj3ATJoGdEXjgVsaP+k65IqjBaHaa2GcRon05zvmj0HQ8BaWz1ozMbxVm3zqWzinlz6Bt11ZQyC19WZXnbo9H4C9H2fuHlPK9rX4Beh1TT6ut2uowOlrkf2EufnYW2/+TK0K3n1y/AzcWLmmCnOkftp13WxZQQVXnesD3VeNTfhMMY4eLZd6tCNFhIMq6eilluPf5R6AJxKf96LOuAPqmBEBs6YdTjGSRnniffhaHQuPTykLcNi26MD3+2lfV0vW6oWNI7haBqrGahiCq/sFdFMWwXfnPiv17PpIqOo92kc99m/EM92zfEr+ETCfbEoith2TNLqIs/cFmUh3TKNp1wfWMIl7Y70GqA3pzMBTtdUizw+xnYxnC976KhZVBd41YleXoYWKucvVC95FfZQjDHxAMfyyXxq/+9dw81JnWqF6fP2e5lpzMjIyMjIyMjIyMjIyDiIZzON9XhkT+WxR0jaB2uoz6ic0yBMo2k1VjScTHvBePiMSD2qpNRMVnme9nIjSwjDSJNNGIIXC3XbU8ZnpZmUm0fcAtu9/ozePY3+jM0JmMa26+T6cWlOkdafUY9hqr1c0HftJjErY33pdNxh9179MjQYbZu/GT6LRubzVAfk3eJE9rNUrWN1aBB78y6wFr5vG9oOa8qs12U0Ge1lei1bqd8Bm+odrI6FoihkVNc2ljMdWzJ0jEszcAZujf3G/S38Gw23yTAxpx/m2rDV96vCfRgX1V0Tm+yqZtH6haEJ0+NgzG+1n+SDuqKRQYe5x+2umMR1S6bJHEl5Za6fiNWtikIWk4lczkP27GIWXtE2eidlkbjuW6cLMB0imbkKXZO6A2vG+d03P4TXd1+LiMj9fWAeh0w2DZ/NXXIamMUXy8ByoSc4U+YxOtNqc+4n3Mdg0L3uivVFppjmy0eHNiWGlTHdiVZf4GhMprOux9FZlbhKvFE2AZD1/PUfh1jy678V9IUvvoBBCOPHeI2mY4sF1pRes7E0+GY+kyG//uGzvh+XvzTzzLqUorB7Ctdp4ppRxwzxaZyYy6qU+eVir/fYplS2Q+fa8AxK06MrC+m0r8RQWEGYRVgc9GJcG9jyoiijA60xJ03yWVZVonovrvvsLHyWaXXQd1tlUTtgL5nfaKvC62YVrm99oJri56DvOlk/ro2ZMrbT+qemMbJtOikrrVCoU2Ymslk6NjomMFb0w9zaviTtt9ru2r0+jd6Bkbl8+zHEaO6Dk2nK5C8uwz2ayqj+iXl6MCSfiD3vul62263NHWLc/BxNI7EyzJnNZmUVSTBSozE66hDjzvW+bzFI4wMxkRjJ+BHLm21z0EWYuGGu2boGcfCcjsPY+v6AQzfV6Lbr7zHcj3QveII5Pfwu1qvvRgCqgY6t0vNjzsT5mbLt5qbpfr/Xx9nGZdDzW8eDihLuk8QX8/uo6bXrqvLM60TsWGDn/KuvZqFy4ugoij3HUZEYh7f0erU9bKy0A3bssKX6851WhXz+8E5ERD59/l5ERK6vfwz/fhf2Hvf6umu2e66+jDXr6uwsPLtcXITKmpcvv9DXX4Z/vwhri4qly9daLTQZW5Uh88n0yBrXFxfhO2bnqev5X4bMNGZkZGRkZGRkZGRkZGQcxLP7NNbj2p5UzQHOshRREygiUlQLYy8A/2aZIecyaD3r9PdRUxb+3lwHZ2PLvFhPRfrmaY0uGWeyMaYFdIxK57IvfddLQRsk/X5eARqzzfr4tddt18n9aiVzZb0uLcMUzm+m5wErtpyNLePo2SOy/fSwfKE10b96ETIYv7i81M9Ks0RW610UNk6NZkWWeu3QddJ/5v1dyLTA2FpNt2ZcyRaiFxQZaFbRsVFLbg6fmsk+EUtQSNDJMTcY87GbQ9Ted9su9iHtU+cq5i4slzmEabaaen6yo+slrpT0qdrKTjWMZHj5LrJdPkOIoyX6kZk61JGpGk3Cz/V4FDWDrjemaWlO5C4JiqKQyWhkrC460k+j2r1P7LiIF51picP48BlcrwtlSR61mmClOgMyyzj23dy8D5+zjj2mGDuy07x3cZ5qoNEJk5kjrrDWTHdZl9LsdGzRLekaNlbBfcYpUBRFdJ2G7dd1jsMx/f3qemQMIzoKXA3JIC/OA1Pw9q8FrfJXMIxfBoaR2PLLF+Ea/EKzoPPJWErN1tPflpjB64f7sGa+f/9RRER++POQnX33W83Sagwhox4rAHZW8RI1Grj2OYfBE1SFiET3VHM6PtM1bLr8UXLsQ+dN9Jf+3knGGBYGZtZ6rJI1Rjc0Sitihp/lHZajFwGfFY4P1pu5iS7XdMVdP9B34cSsVUatz5ifgGnsQ6z1GsLSuUFzr9jJzly4YRfYu4yds6O5EOr9BwacPqLEdt5X1bGKiu/nPbyy9s4uw7ohsFlVjzGL4Z+7geuud/y1M97rtXsa/Xnfd0Gn2NIHV7WMM+ab/jxwUTVGxhwf02Njr3TzLjCv738bGBn2CculsryPQae4XLFv2O65u0fdLtrOtI8r979XyshMFymbUg3087vdzv1b6uReu56dpwZz1vw96EVcxUoh6xWo8xitus3rA/rL+kBv0W7Qj7NybupcT/ML0Ov3cBeu03ajGkf2Meb8Gf6cipz142bg2hr7R4tE9rJpwmecqqeuSO/6t6LvSzsswGgP3VN5zrEqEOdyy772/CLsren7iUfA5UWo0Nnqnm24l0OPzz0YV2rWHSzv+Xn47OlU1x2VgnbdY0yKe0fdAxEDdR7jOXA2f94eJDONGRkZGRkZGRkZGRkZGQfx7HRgWZb2RG0ZP3MtrYc/isiwX6Dq8K7o2afZm7lm9DSzN1mHp1/rW+KYlVTv5PpDOuYEwOyY65FmlsZ6vBtjP2PGicxD1LppZlszqo+b1P3pmGjbTu5uHvb6MsKQ8jPHBvsiMtSVhp8bpxHdatbnQbND1b2yl8rYlF6zUlUmm2jQMmr9uY3BNnWInGkWvFFWhXEnc4beq2t76cpUB4vuaDJNM8DDTNixURaF6VsZU8s8kW0b9Pfq3Xzn/MhOdU7bxPzDufNOdXXU78cs2y7qBSzTnLJYfd+6n3EsTlkVMlYcfzWq9taF1+maDsI71x4Z9FxkHp9NWVtascA5lHHte50lrqlUMnDd3nwZtLuwTtT6P/5LvxKRQd/Gwboon3LIlZhpvcBt2TmW1a53KExyWZUW3/gdnwVbSWb4VK7ARVFIVVU2F2FfYI1wPJ3eh4x8M9BXkNWcmxOzuiEr+/X6j4K+4tWvwuvbV8osatXC6/Nwji/VJXc6GlnsQps61p9xwaXfLVlum4vK2uA8R3wzFrHrbQjNBdi5wZnG8ARVISLhElZVafMB11GqaXrXm4w5KDLQvmr8tTnVpwwZ7ojNgTho7qttZ2NnTuUanytj9KliSFkrGJXasW87cwltoxsvY42z6iYdW68POxaKsjBdIcfl2ZWiVFfxgfvn8O9FImvDXsb3MyWDj5bW93ltm3bPmbh2VVGe+eaewtqfm6YvfKfdA5t2jwHtdynLYevkRBU4fd9L02ys8sVY0pXqD12/w8lkZixgdCrVHpfbVIcIVlqR9Plz0J2j/Vopwzi8t0VGMb3PxR7SGmeV1aFSh2qJuVZJTC/VLX7QW7y9f1rLaNrfacrqHx19v2/aIZGh69aug0Bd7TFjsNbc080BmaqBUVqBxn6KNZT0NtX/Z02zr8EFFOaK9baxOJNWQ1F9wL5v/biOXRO6dN+HhtFXDR4boVqhi+6zByoNmifGpdG4GatE0nmB1prqIWKksX/m3xFZbt9pgvdyHLi+m8aa3pmw0HodzdXYHGuryFDrucGUoyWeL9IKzJ+KzDRmZGRkZGRkZGRkZGRkHMTzmMYi9P0yJz5zAqQGHJYqvL1vO2MECnUx4+nbMt/UllOv/ZhmksjKRte2/cPymTxjApzbFd9JtsOyTS7LU48qWcw0yz5RZ0XNLtyvQkbkQTVT6PWOibZp5e7TnWUwX8xDtuhynvb7u1BmYNc0pkFcFWl2eej6yWeLxOzRt2ReD7C0IjEbzjB1ltVO9ai+D5plRdG1TtO/L6Wzfl6Ny4owT4wNO1FGtet7WW23gz6VqePioAmpiATWwhh2VwoedUXUy6f94ZinuBTCgMDwdF1nTCJ96iLDmbqiomU0fSUalxFzP+1hVpblQBec9vryvUebEzONaCdhCVljuBiDsiytGgCGinji5ynOwsYUvw06u7lmWmF7twO2ydzodFy6AYsgEhmEyCzqmFomPT0G0zRWlV2X6iHtGcucgJU4xBwdA2VdStGka7d0+hw0SbvdZuCkqnFUUidl3zvuQXV2lnHVuMQ43GqsnNS1XfPNLq1S4D2ftL/YZ3VNRecEO4FDHdgso8acc/M9Vb1D9/J2eWCkfi4KKapYgcP8Md2l6nfIbm9k4I68VtZ9kWa+id8w1a3rL0hc367T++MQrfkEEGf0/qeVIjBBtXP/jf320ILCNPbRaRkWbZJqpIhTu91pWN2+621MiJ+s07guY7zl2nMuxIHasYPMIdMpNWmFDvcn661YlvY72/9YPNVj9fsKeqVqpn+hzuawRKYdW22kblPGhevMNWX9FidyT0XTyHUkJnAco1EaC+t6HHX0I9hb1WP2qYsjMYhqhy+mfywiIm/ffiUicX6i9z27PLPqAeuFqnEct9vr66CPxGUYlGpOYZUeOvZDv4GyTDVmffc0o3SqPo1lWSYs5rpOew/D1IpuNUfjUewjPUpjXjVgsUQGOmqYxXUaT6wS7Smm0/VWZ+4bs69VPFQJEqPZH7HWLI40jVUF8h6LY9t9nd9pEFxqrb9sReWBsuLWXxmtZyeFu+zWW5z+qjqf0RVat4ZfaLeGi8ByX8113eseZeiT4jX/1w9hHn9/E/Sjn74P1Wl32pcU1hfvBvscGNOmtevHXGEPMtfXc3Wv934tfxky05iRkZGRkZGRkZGRkZFxEM9zT5XUTcg/wYIhK2T6JJxOR09rDOxvYbH0KTn20CGLH5/uR04zgKMcx+Wzofw7n9GLajokzc5MxiN5o7qcNxfhtdVzuiMz/kN48v/43Sc5NtpdIzfvri1zfnUZjuGV1uXT3+58OkuObYjtjv5Kmhlto+ubyCDrDNulmahi4JQnEhJQnonxNf/ehc8yrh2aAM3etFXyXW3bxR5XKietXO19ZczIafQETdvK+7s708yttk+7d1nt/WobnX+dkyOZyOg+pvPK9d8y1pf6+YGrIixO5zJyrcsUbjY4GKeucmgbPYIWM/y/9a0z9iLtu7k8EfvVS9BLwmTuNJu/cVl902WMx+aOyntM5+I1jvo3MJP8XLoMbLOb2ufE/n1pb9A4Tno8jsEyxs0dy1yrEyaj2nS+S81cWv/TKu1xe0qmse+6qI2t0jXKK+zAw8O16YJgF0ybQh9SzSQ/qr6C+U72mMzypeo2pwOXZ66L14Tf46KqrGXsu7ZLvoPxo28eDFJZlpEJNS2OMuZ63Ct1wOS4j42iLGQ8Gdl9huy53W/qcKxDvWbU7MfPCH8TPgMHRfsO5/Y3mxNr0/VelEXU3Vk/UdUdqg6m7lKG0Xp5Oua8bVInc5F4r/cse1GGMWbuUAlxVPR9yKBv0/lo93/Xg7GoShvH9UBHKjKoYHFOsl6f5dfncD9i7M0BdsQ+u8K5NT1O5gdMJeezXW+lKGCQw2fttimraffc6nkswU9F17WyWj1I5bTyXosGRqPx3r2n8z1FcZumd+0o7VXKOFEhhjZ4cXVm65+5GHvjBebl7MewN6InJsyV9TG1Pp2j5LUoCynuqF7BaVrXr+oj0aDS1+7YKMoiuNJyr7qjn2r4d5xj+61WeNxG/TTxAG0x50mc5NWvGe/8yR7kKfh9njnaP1GhN/x3vnPVRidzq3w6UKUTvTRO5Qoc9jvGwI71uYK5iGv+NqzN1cM6+oQ4fwB/f2SsGWMqW3wVCPfAsihsX4PXCH4SD+qsz2fg4oyLOBU4XD8tGLJjFYnadhyPjWnUuEMXhuaZTrWZaczIyMjIyMjIyMjIyMg4iGcxjb2k2QUyq+iGqKfliXvY48/3Rty6PkSe/SDrNFql2VtjGqpir1cV2SjL8DqHpFGVMgaAY6qVGbqYzuSLK61HXoQM1ietMb5Zhif+D78L/d7oI3ZMtE0rNx9ubQxwO3qlboQwjGiIXi4Wezo0nz3gnMfOnRC2BGamctdj+F6+o+1hv1R3UaWsDp/ZuSyuuWnhUrvZWabEXD89w6gudufz0/RI2jaNfP3xozHhMMlkj4z5I2P9uB4wGemYm6tw4cc+vHqm1jsidoM6dPt+nBctg4/mRjUubcrIo2n0c7wfzAdYN9My4kypn7U6gSOwSJg/nx4e5ON90KvR1/PD55AdhtF7qYz6qK6NaWTukZmrjO0Ln+01z2ggydxx/YYuvESyyJyHn72mq3JEQu160FUDZpTjxgnWWOiBY7BI1LTtNidyies62Sw3Ax2yCa2S97HeRqOJsdbAHBI1znuWg7WBxozs/Up1T/XAMZVMqvXEFTeoCotTyh5Zdh+mnww631GPbIzNtRh3TWXW0NxslqeZ12A6Su9Hsbfi/nthjlrTrimD5bSvODdOD+hta2MYogaaLDpsrKDjdSF0X6uaxmevO6rqMrr+KrYDjV/4+vT1mOj7XppdY3MWtqS70sx9nca+asDCeX2V9Zk0x1WtAMCdF3dV9FtO/1yUxcCp3FXguDhfus8qnB7bu1Rulhu7zt619eL1RXKOvg/2MdH3vSDo8qySjR964qreY4sYK+8E67X1T36vxPvi+nEd+3vrXIRpoffo0vryKptewSimrKZpWQfa4diPUXVtur+pHTs5v0h7PR4LBZpGF/uoHoK1b5vI8I2cf4fv1xl7p+v9BtdN1yva1hA91weX2TwqXE9QPxd8hwRg/avRHk/Hg/thmRwHjt1o7JsTaqKHTs9WBcf8YF6bTrmQ3SaN1bEzQawQExEpVBuLzwnfc6ts+Ad3HxWJMdYz+cRwrhdVMjCPFtsd2MP1bWf3DuateTPAqOt3LrdPf9YhZKYxIyMjIyMjIyMjIyMj4yCe556qmgKyjdTKXl4qM6BZL/Qqu10TXTnJPqE3KNLMSDfGRS5Nh1r2qkyZyHLQF8uyra5WPmY/088yVotMegVTEM7nxdmZOZbimor+6uZ9YEXe/TYwjd/97i8ODNZfHW3bycP1vR032fYfVCt0pcc20/O+nM+NWfEME4wMrpMT15MF10n6NE5cT8iyKGTrNGh8V+v7++m/r9QhcUcPJb1my3Wa0dhtG1k/ok0iC5m6S750Os5jY7PbyZ9/96PNJbLqy7uQAdtz0dvuzKGt3qU9vkDsIZeylOaYuEn7gpJJ3O22Sc9GkdjvjKxjZMGUMeO6aqYODYdnbIfH5V1AyWK1nxxDcWSgH/32U9ABf//jRxGJmTjL+P6JankXC9PFVa4n6WaX6iGZa0sdY5xYt9Z3KdV4tLt2j1G0DKrFnLQP21i0B5KujRGuaRp3poNsL+zjTOMZY0/m0Gtmj41m18rnH68tu+jPEf0Jjm+LxYVsNmHOe21SZZqs8FlUlsy0FxjVANYzTCs9cImbj8cWY9Ffcz9Yuv5+xH++w+birZ6XMXSavR6N7LisD68yi7ASS+2PenP7/unB+pnomlbuP99Lx30QbbfTwg6vAZl9zsfD94TzjImxwDDFg56hO1fZ4ZmB1me329SR0ru9guniYjCf0uNFe3qq/moigTXZrjc2z/zxewfJ8WxsTAKM1KpL9xMc79jpDSc6D2NPase0VcWe3wLMY2QH03synwXLwr2lWXLPURZhuZaNxom1ub1qb2btfez3MsdGURRS12Nzwx3+XmTAhlXRC8HHGH9fNNdbfv+QOoCbNmyLw+fO/h19JLprXve0cNo3cjEPPWOJJ/TrPdees6wBuR6em2p8VYPJHLAeeLOUSTsWiqKw6ysStWfEYeIy2GxX1r+ZHro48RKr+bzoDup6NFfpnBxqew/NKfbuvjrQ9n9OS941aZCox7WtL3OrZ2yVYazrsE7Hk9NUlknfS7NrpWvDfQXdrFVq0YmBarii2HNVN6bcqhPSWA7rzThwjof6QQ9/53tnW69fKgK5b89Sxpbr3Q7Yz2mdvpe9FM897JHul8/Tn2emMSMjIyMjIyMjIyMjI+Mgnqdp7PskM8pT+dl0mrySYb5dreITckmmWevF6SeiT71NqboE10POdAm1ZhUH7KF/Ko+ZgJS10qRUfJqHfdHEUe00eYvJxJ7K0QberkL24OO3gR358ZvvRETkhx9+c3jA/opAjwTTAbt596tX4fVlyAy8UofXSV3b2C81ewADU5O10/NAWzR2PSzRfnGdhq5sFRlcHZPW11871gTNo2nmtimzRh396n5pWRmy85aN1WsEw8j5HRvb9U6+/833xrhwzA+32h9OM71k7ZumMaYx9qPSLKdllJ52BvMwzYLWlG93m73+ix57egIYBz0WMq3eJbOqK8tgkiUG1uvqx9Aj7/c5qf0cNF0n1w8P8vE2aBlZSzfvQ7qX+Q7DsZhM5FKvP/OAsd42KfvNHKPKYbNxLoimhYtsb7+nJ3CMhWNa0PaZ3kzX0KSGnY9ZVJh7YDpf65OarqFjY7fZyQ+/+UFefKE9I9KHGAAAIABJREFUo94GjTbsB+vL2MHp3JgPn0EGrM3FVWCzz/QVDTlzjWoFqjQmdW1jRaxAo0rW0zNUrDfYCXS3rI+45kaWNTcWF+01/SQfwvz69On7Q8P1s7DbNvLh24/2fYyP6eFGaazdLDd7Tq6+oiFW5KQOv8BYxI3qvwb35UMOl51zVbXPcpnv6LirDLOyi+PZ2FhlganDldfpnU7hntr3nazXjzLdaiw4S8fGGEbt71eUO8vyc+5bvd94fV3bqDun6/lsvdjoVayXoSiK6IZrcSONm12XMszMj6JIXWm5xzyoTm91v7T/59/QMm49m3OyvnaFVFUl6zV69+hTIRJ1WbBvRVnafGEdxv2WMqs6R+3+/xiuBU6n9IldLkNZweNjeN3tNnavBGj3JxN1hIRZnIS1Ry/klxr/3vz6TXi/6Y3Dd1WjOrp+Vuk6xbPj0H3zWCirQmZnU2l22gtTrzEVfeWnMH7LVWDhuq41zfD5TdgDWs9Px5BbTJ6lTu/We3GN+/r+Pd/HZItBjuG3ueh7MGq/y6GOlHXF38KCsW8Zj6hkOI1Tbdf3Sa/mzVIrW9Q3xPqf4qZ/v5J1gR56nzkVibHEHHpNL809NsZPkUFV3YD93fOg0DHcWq/oNjk+rlusltL3r6MvQT3QZQ7BnunTneqBn9m/+JkPjWGCcME5+YluCC50Yz8fbJhoGO6bdBPseCiLD4npxrHRgINHQ3LzpPWB22D4MhVxN0EWkgRm3zY5vC4mE3t44vjf6Ub33dehieyPP4aHxU+fvntyrH4O+q63wCES7ejvP4WLfPM2BLzbRZjoF9Np3KjpOKNhZrxvHxGK68OhE9Db2Ojvh1S2b2/Q9U9veDfWQiFtTG3NtbXkkw3T5nE9KBcMfxtLM3QDUMUHiFNgt97Kt//sG7MDN7toAqFrqt33vWy3Wv6mGyPKSOa7RXLszGGCA4GAktx449VAsNnuNbn1G3jKVa30Sb+L8o7zq3ATQfxspTXTsd1YOC421zw0/vAXP4jIfjnMsdB1nTxuNnL3UR8avwsPjR+++RDOxQxWYvIHcxEeGok1ZrKi40FJNOYJsXUPTdB1LuqGZTfYZNumwZf+WUsCXVu6aeCB8EKvG8dIqXdVllayag9H+m9WOujKZo+N7XYl33zzz2S9/nU4dh74tNSdeUM5S1kvrQRsrxXJgX0pGwBKcLHy5iHaDLD6Tjq9PsTTB92Mrq3JvTbr1ljHpm6psYKYwcMVm8aqLu1GSVLKjFLU1Orz5/CwyMPjsbHbbOXbP/3WzuHNH4UNqm9FxOZis9rIzU0olSV2UFYO4pxMzYeAN10xI4tu2FonvFoj7y0GN09fUB/Po9mObqjmU4uTVu6m3+9LRreb4z80tm0jDw/X1miee4W1ysJaXkubd5udlXxyXI93lI6le4bxbJV8hrXtco2vefisRpXFCdssu/YcpWtNwH2BewyGTdHU5UFf7+X6+r0ep+5pqtD43kzLnAnH8dFL2+ysDJSHNiMBdG81v+AhbWbrDnMT7p3Mfx6SuSbM8dWDPqBXafw1U5QmxshoWqOxRktJZ3OV7rwJD4mvNMH+9qu3IhIfHllPlE7WoyoaJ+q9YbtJ5Rm1awlybFR1JecvLwatvMJYn79UUuCHMA539yGpu92u7KHx9nNIJvAwYaaQbh9VjLQcVb/Tm0UN9ztm9lTsP9yE42PtaFsYV+oNbA83aMVme6IilRSwLjebsCnf7k4jkenbTlYPKzu3tZZmMle5t7P/fbx9jG2gtowR5fupNID7IbGDmIjUYq6l5WMnX/DHN/wue7gn6Y1Z1ljnKntsfR/7wno8is8/CvblyMQ+f/85GYOfilyempGRkZGRkZGRkZGRkXEQzzPCkZB92B1oCDrVp3RYrr7vrVzSSkUp8xs0uBwiNkBPSzos270m89XZ9/fOTMBn9ow+rtJG0TzxjxybNalr+1uO/8fvAxvy/b8IWet3774WEZF7zf4cEwj+12oRTybs7lNgaD7fh4wkLTjeXlxY+eZ05ErlJG2rEK3HXVsISn0dg1VW5cFyNRO+U6ba0LBcsyQrMmepwYo1lt019rc7zdpcvn06czo+kbX4drOT737znYx17s6wJ3ZCYxNuj0b2/5SpwhbMZiEziDjdyvamKfPC/POWze2ujTbVrsWML/3oXKNZXzo4caU007PZwPo8nBPXAyMa5vSpGJmu7+Vxs7GSq+t34Xt++N3vRCS2FaFkebdtog25Xv9fvXwpIgNW74C1/7B8UWTArpgpRWeN0X2VgxlquRLOM2UWKZklXowx6yF7W5b7FRY9LLM2/r1PLc+PjabZyvv3X9scnc3CvPijf+WPRCTOwfUyzm/fcmOz0pJQK/VNy8t5Za1geFVpmd5Gx2PXtladQPlwbF6sjKJec1gXq0ZwxkHE5WFpeMyupnb6y2WIl7B6sPjHxna9lW//9Ju9Spezy5Q9ZB6VZWnHBosym50lf8t5wqb5UmngrfWDyQ4xQhkBWmhYeWT4W18C65vRkwnnGBZXi8jA6Rh7Y6dTlKWCrmuVaVSmf6XsUU0FkbIEMN8Xc1tvrO3HxyD1uLkJx8242+sZxlVasYPZhYu/49l4rwWNB2WZ3rTIsxxUXtx+CnuJ6+t3cn39Tv82/M18EcovuS9wPFtXanwsFEUp9WgivZZExvuQ3pd0vlFC+ebXb4zlWqnBDWMfy521jFxNaTbLtNE883RPztH1e2yXMY46psxR2LkXvwhz4/JNGDfMA4k/tx9uOVH7PipsuA91xuJ3yXEeG2VZyvnFQpo2zD3GlnlcKbM+lGMttXSX2DYape3mrIUMLblcZYnJNHQPYOc62BdGZjyt2LMqHrcXgWnnM9j3DFlQ1sz0DHZO25w4c8BT7Ks5ttXDys7tkRYWem1Noqb76YfXF7Zf2WtRtosmUCIDUxoqlGAc9ZU9GT9XRXmwBLioUoM4MwCt2bPo/cAql3TfqK+jyTjKIpD0aKy+14qGzypH2m2eV+2UmcaMjIyMjIyMjIyMjIyMg3g209j3vT2ZmjkBOjmYFGMcS8u0m0DeMY07fbJGq0SLiEesgk1kmrbP2Cw30uxSfZfXarSSMqGmZVSQGbsws42oyeR4aUD+3Z8F7eI33/wzERH5rKYK22c2xvxp6ENGZKUZyI/huGFm0IBdLkL27KvXr+WFZh5eLNKMGkwMGQzYpbXpDhx7iKnQoLk8WQ4yKsA0S2SYnAEFdfLSxyy4SNr2gPegtfI2zYeyuMdC02zk/bvfSq0aqcV9yEyeX4ZMJSzK8HjQ1Oy07h42Z6VZ2e06ZFLJfvomwYUTW5s+SO2gRQaZN9MhpVk9b2ZRu2a/1ixcL+94EmvcWS80of38Lsynjx+/FRGRu7uPTw/WkUF27PPnoKW8vv5RRERubsLr6vHB5oy3O7+0tjPh9+eaGbQMvL5PezwbyzPMpJpQ3DXKLgeM4fA7YPNnozTzW7m/r8pSCoyo9D3MecYcduEpA4JjoGl2cv35R5ujHz+GeHWlGXizZB9kr2HMYeQ2G2X/NBt78Ur1oJhx0MYEPQXru07NtoqikI0yr6ZvVqYVhnGlemf+3Wc/p/OZ/l51JBrLu67fM08jpsCYLx/v/rLh+llomq18+PCNbNTIg3X9q3/5VyIy0GphgT6f2Hs4Rv7Wqg5UQ9buQjxCpxfZrfDdnpQpisLidE/4PWD4BHfZWacZWlGlFTm0K5ifz/f0OKbTtOqR0zTlDsfXyWazMkaodRpCWAv03KOqkp1q2TC6gNnFi4Brs1gEo6jzZdDCoZllgFtl2CLTPR00BKcyIWVkfKXCuEt1nxvdP91fh/n54cM3IiLy/v3vzARmoQwja9FiTpXqJY+NqqrlxYsv9nTOmNX4tkznLy/k8k1q1kPVAAxHbP/gdKIHYmA0JIvbVF8NYi0b9D79Qn0evDkj+LMfw72FvevmcR21pA+3+h2pzs80bZvTzO26quTlYmH3HRg89KLef6KqavNVILbdT0Mbq/q7VGfrW7ZYtYjT+CdCaGvvoPN6r41HuheP1YC0c9J1qCw05zHUj8IImx+JHs/7371PPuvY6NpOVnervbYZj1rxwn2KKr7XlxeyeZuysd4nYbdNnz/Ye2GAw7ngtyC6PsqyPLi/9THbfm8mRI4xtgpMPApK23fyWVQq3ukehHN+rq9CZhozMjIyMjIyMjIyMjIyDuLZTKNIzAJbTb661OGeiYve+XRq2Wa0gbXTMsI8ruunD6UQnPyw941sFhmZ3RpdR6p7AWYLTo21MkBX85ABudQs9otFyC5MRiN5fxeyTmSmvvlnIQsIG7PRTA/6ClzGjoGiKGU0Gst6rVmQh6DDwG0SNgkm649evpQXxryEf3upGbeb83BOtDkor8nG67hrxs0alNLKYI0bZWOZinh8T2dHuB57GeBRyjZbVnqQ4SCDbfopGh/T1Lc7DSPTto3c3X2ytBlaIxiAly++FBGR0Tgyjjgdko1uGmVvlXGEPRla1YuITOo0Y+c1WEVRWHbTsznWONo5BYORc3iDxasGLoxVjauksk/a8uLTp8D04TLJfDs2yqII7Wx03sJkwGzREiFq0DYyZY2qNoVM5VdfBofKi2mqL8QhzFvRwwKOBmwiDOLYqhzStkDEqHMqEaYpQ4zzs1VNmC18bRUTuLqSdSfLR+w8lY17YGWWUqomCo0IWfWxY24ns4nM1iH7CxsD2wFMm6Kv6L9MN4quDXZ1FNtpkAkl3vBqDb9xDtTYQQznO2npwPsSDbarjrA2Heu0rcWpGka3bSM3N+/k9jbM253eC1iTL74IOlzGYDwdy8VFYLSY6/cab/hbtIEwxW37WkTEWl5w/fbdlXvTRO1Zu3c4QBNL0vMgHplLsK5T3P+qURXbTJA9dxUPpr86gQa973vp+84aznsHWVhPqg5enp2Zk/sPvw738fN/Hq4Fse7+Xtnopa5LnTPEeNh375NQ12P7fxqt4+Q5maZOli0MOLG5Se+9rM3373+nr1/bGuT7AdeIvUz1hAPjMTCajOSLP/7StMMPOk4wnrCj9+p2LBL3U+UiXIdbZVoe9pqdp1UxxORYqYErf3jf2XRqFRu1c3fn+vL7MZovrbAiRv94E+5pnz+E87j+MbzefLg1/Sh6V1xbYemoDjlVrC6KQiajkVXbAbvWozRu9X1vvzNdvs6Tx8dwrPJO99drWqWEX7feVdxVdFRVNXBDTZne0eTpZvW2NmDW9f2wiUMnV/we0JyyF4FhbLl/d6fR6vZdL5vVJrrkb9OqyZXel5uLsEbPplO5ehkYdOYD+7tY9aWBlHGo8E1QT4tVWtUzvMdZVUiX7ldgEnFR5bvRCzNuke1Mr2M9qu268V6YRiqHzOW4ed7eOjONGRkZGRkZGRkZGRkZGQfxLKaxKAoZT0bG+sEY3d2FbNP78/AkS+bhYjazjFDj0pqlqyk+1AsQwmBHlmqSNhHmuEQGDkNoXFymhIzp5YuQAYGNe3WmDVKVrXjcrOW3HwIL891vQkby27/4rYjEzDAYj9UJ84hMY1kWMplPZLMJn23ZPc14ffo+1K+Tqfuzt1fyxVXQZLw5D+eCTvPtRciSfL6KvRFFYpZhpVkTy1ygpaPp6yCT3Dvti/XxcVks3ydz67Ii5j7VdlZ3TTbKf/+GfnaO7TwWuq6T1frBMrtoixjzWkVxFxch0z87W8h0GrJlZKPRnvI366V+xjLMt+08MgzhlR5zyn5NYiaqLJ9mcUVSZzmyfSZFKL2LVtpYtygKy17hHHejWVc0jDCMsOinAuzRdIH+MtVaPqzCcX377T83V8MLspbKtOBM+OWrwByQcfb9PFvcZen9Rf/RsjQGkRhlmhI9DhhIPpP3bXUcO9UzE9u2aHv7qCnG6RiGjzXAvOc6HhtFUUhVj4xVurkJ2fQP74KWizlHD0rpe5uX8zaM9bt36q62w4FSGVmcPNGpazaUeGQavoHjpzkno4PfotlL9SHMgcpYSr0mpgvW/pf8fdtaphTH1XvrZxa+iwbgU3U3Pja6LrC6sDG4L56pTo77jzF5s7G8ePULERG5uQl6YlgO9NFoyWAaeT3bqEZvkzo0W/P5XvZiiPUTNPdUdKzqOlvHXq4iUT88tkb30U2YtTpskD18LyzNfH5xaLj+yijLSmazM2P2vEaT+z/r9U/evjWN0o9/K8yJH34Tqiru7sI9lGuFHp3fwziOlT0E1ntzNJaiSPsK4j4M2zo+oEeiiuT2c5gv798H12qqmB4fb+0a+b6E3kdgtz6Nzq6qa7l6c2XX9dN34fXzhxBHuGfcvFMW5nFtjOG50xGyl1vp2id2j4wdrJOfuX5Xgz7UVK+Na9zh0ZvrPcRVrt1r9dun+3Bd/8W7cNzvfhv2bzhHfnr/zuIFa5AxhrWb3oTzac/SuXAs9F0nq+3W7lG+WTx6TdZW17a26eJ3aHJZqwiVYaA4J+9Syvw3t/F6FPV+sLa4vLs92NjeqH/rGMazF2nP6PnFXF6/CsfJvfTHnbqkst+Xp7V8x0Lf99Lsmuhv4jTZaO1Xr9TVejSy+Yi2m56SI3Nmx8NDn3G00qVWVtCcbHH5NmfmIulSwPGJxPsiPb3pX2yOw/Rn1DVFhSD7irIsBp+Rfpav8nlur9fMNGZkZGRkZGRkZGRkZGQcxLPS3DBgZInJNtL347t5yBrQo+zlYmFMl9cYtYO+UiIx0zE359U0W7pt0v5Ew/6B5gqpX8FTO5kAaovP1cXp18pO/PJFyNqSSdjpd/xwcyu/eR8yUu+/Dhkq6t5hFMn8kVFFC3cMFFUps7OpNLuQqYmZVWVidLxv34fM2IcfPsl3b8PYUxfPOF7OQpbnF5dBE3a7ClmSh5uUedwqsyddmn3out4y12QIE6ctGfbDTHsCmZviWrMlt7iMxv6GMEnW48fVV3vX3eOjl65rLZNv81E1AkvNQE+UVZwXZ+bkyLHDMKJHQncYXbOULd2iV1Q3uTrNQBWDnlHA60fJHpFZsl6ZWzJU4fe+n1rXdbJ90PWKe5axG+HntqPWHge24455URRPOobNYG51PJeW9f9obsVXV29FROTidZjHsJWwJC9Vuzsy7aKyO2UaX4gro7o2/cvQ5VNEZOrHHCc6jWvEojv6GBKbbK42cv0Q5jjsF9k9MKYP6Ik0SSKFlGVl8+lBWWRcI8lMn12GGLPb7iw7PVukTPr9fWBfqLKAfUHrjM7Caxxx3ZOiMKZxdY9rc6pDP+Tw6atI9lyD60qWmjFlPvMKYBipCjkF+r43h81bHaf3HwKDdPFjmLOXb6/iMen8vboK2lycg33FitdlUhHB+7j/EJOKopCePoxWCeLitw2hxu3BdRKJ18+YRnTRg155LBGqdxbqTnp2Ec51e4JqhbKsZLG4snl5sD8iWuTpRL7Q+96/9FVwsv36r4U4cv0u9CuFRTedcsP9r01+tnucOVxWUleMr853vU+T7R+6foqINMru0Js0Mly3eizx2sMgsc9AL+ndak/VO1AkXONLjbdeO/vxfajAerjR3tE/fpbrPwnnRU9EXoE5J6umyu5VVOC48WIP0w6qR/y+cK1eGWgX8ddAw/j1pxC7vtWKsU/fB4b08w9h7O/uPtka45XKBLuvU0lxIvar7Xu5W62MfeOVdUesODsL+9Wubaz/9kjnB8wZLJ93Zmf+moeF9VUNx2AMV9sYy20uy86dmuvWo23U93Mdh8yiiMjF6xCj3lxdmpst91L2Mb7ne9ueRtNYFIWMxnU8J3SGeKugudfjG1XxHjrS8yPWsQ9nP7dbp88otmaohGjSfsIi+z3kQWv31jCfYRpXynIOq/VE9mN0s2vNIdeqcpo2eeX3h3oAH0JmGjMyMjIyMjIyMjIyMjIOonhO7XBRFB9E5OvTHc7/p/HX+r5/c4wPyuP8e3G0cRbJY/2XII/1Hw55rP9wyGP9h0O+L/5hkOf0Hw55rP9wyGP9h8NPGutnPTRmZGRkZGRkZGRkZGRk/P8LuTw1IyMjIyMjIyMjIyMj4yDyQ2NGRkZGRkZGRkZGRkbGQeSHxoyMjIyMjIyMjIyMjIyDyA+NGRkZGRkZGRkZGRkZGQeRHxozMjIyMjIyMjIyMjIyDiI/NGZkZGRkZGRkZGRkZGQcRH5ozMjIyMjIyMjIyMjIyDiI/NCYkZGRkZGRkZGRkZGRcRD5oTEjIyMjIyMjIyMjIyPjIPJDY0ZGRkZGRkZGRkZGRsZB5IfGjIyMjIyMjIyMjIyMjIPID40ZGRkZGRkZGRkZGRkZB5EfGjMyMjIyMjIyMjIyMjIOIj80ZmRkZGRkZGRkZGRkZBxEfmjMyMjIyMjIyMjIyMjIOIj80JiRkZGRkZGRkZGRkZFxEPmhMSMjIyMjIyMjIyMjI+Mg6ue8eTZb9OcXL6RtOxERaXY7ERFp20ZERPq+S14DivDfIryWZaU/l/pzmf5c6fv192XBz8XB4+p7+z/3Ev6n7/S1T3/u7Pdd+veD4+b4qrpKXvnOrgt/++nD9x/7vn9z8CCfgcX5ef/i1Rspq3SMOP5mG8a72TV2HoUbp7JMx53XOFTDcxWRIh3f4onf8/38rf8sP877f+dOtBhcC51T/powL6o6vH76+MPRxllEZDY/6y+vXtoJcxyMMdc3jm9pQzL8XfLzgalaHPiHg9dk8Ks4prwWg//GL7Xrz89Vemzp8aXHE9dHOOcfvv36qGN9fnnZv/7iC6mqKvl927YiIrLbhHiyY35vG2mbJnmPn0Q25mIXRURinNmLJ4N1YdfNHef+VUj/JV6KQ3Glk7bp9LjTGAk4vroeiYjI7e2Ho4714vyif/H6jVRVmhfs3Bptd2Fc26a13+3N7yId2735c2i+62vfD8ZoL1Z0yc8xDqSv9pluDZVlaTF5NBklr2XFvSYeh4jI13/2p0cd67Pzi/7lm7fDxaiv6XwZjhvzkBgf13mX/Gxw9zT/+/S7ngi0w59crDj0s9h8CD9XZWlxhW9o9fo0TZhHXC+u57d/8ZujjfV0Ou8XZ1d7c4gx5LrXI137ZRmPU4+vd/PJ36sORYP969E/cV0l+cXhHYu+bW/89V5XlVLqnGY9EBs3q42IiGw36+T4l8vbo87p8XjWz+fnFreqKmwVx9OxiIhMZhMRGay1MsYZjqk7tC/o/Zj6/YLsvc/HD39BDt1D92+p+9G9cFeKucL+iuvEuf/43e9OtAdJ1x3fv91s9NdxDA7tJWLMfpoP8jF977Us9ubv4fj/NOKa2t9fMJ+5r3ddmxxvfD4If3N9/e6oY/3y1av+1199tX9uDpzDrm1lp3uPrT7vNFuNdW28d4ZzSWNf/Kz0s4dfGWNAmfxc2pgfOE533Ur/fFQUMS6OdO3W4bUun54b/88//ac/aayf9dB4fvFC/r2/85/I/fWDiIh8fv9BRESur9+JiMhmsxQRkd1uY3/DBnE0moqIyHS6EBGRyWQmIiKz6Xk4oUkIQtOz8PvJPPw80YVaj0Nw4uEhTMA0kNhGQy+iPdxqwN3yut7qqwbg7VrfHzd2bOYmk7mIiFy+vhQRkYvXF+E79LOXd48iIvK//c//4OsDw/ZsvHj1Rv7j/+ofyvwifPfsPIwJN46P335MXrfrbbxhjsMltfHT4F7rxLExat1mrPSTcP9hg417XPhpcOX4Wh5m9frY3zWtDFFUpWxX4Vqs7sPc2Sy5KYbX0Tgc/9mLMxER+d//1//6aOMsInJ59VL+g7/3X9h5Pur1/PD1+3A86zA36lGYh+Pp2DYlo4n+bhb/TSRuYoBtEGsCom68mLdci74f/C6d04ceYnkoqPT6Mg/G0/DKehpPRoMHKhI0aTKC67l+WImIyH/z9//uUcf69RdfyD/4H/8XuboKa57A+Pn6TkREfvjzH0RE5P3vwth/+v6T3Lz/LCIi9w/X4Rj1ISyevz4o1Bon9DoRZ2ZnIe7Yeljoz9OxXT8eLEHc5KTH78eJ191W44rO5fXDSh5uQ4z89Ol7ERF5ePicfMZicSUiIi9ffiEiIv/oH/1PRx3rF6/fyH/6D/47WVyFcWC8WF+s1Zv3NyIicvfpzn5Xaowl9jK3mGvMY4sRBxJ6fGfXdoOEwC75fmIxx7XSubd6DOO32aySz2RTAWazc7l4FWLyl3/jSxER+eXf+KWIiCwuw7mPNCZyP/gP/81/46hj/fLNW/n7//B/2EtQ8IBCAoF7V1GWNh9nuj5Z18whHuYJvzzsty6G+hjSNu3eg7aP5dwjRuP0nkEc417BOuC6X87nstD7NN9xvQxx+9PHMI/WjyFecn3/s3//3znaWC/OruTf+rf/ruzW6dzhPvnln4Tr/+KLF+H353M7zrtPd8nx+aQJIFb7ZB33ONC1nY25xaLB9Q2vLmHrAgr3C165Hucvz+X8VYiRy7swvj/8JsTGP/+nfy4iIt98/aciEvda/+Sf/F9HndPz+bn87b/978rDQ7iu5+dhTL/6W39dRET+5F8Pr1/omC9m0zimOuardRpruG5+P9C5TbbF10FS/NAeA/j1YQ9Ybp/jv0skXjdw9zHMlY/ffxKReH2++le/EhGR//a//HtH34P8nf/oP5da4ypx6sM3YX/93W//QkRiLOy6dvBwxUNGOAfuf7XeDz3Gug+391ksYP8wtvEg6cZ+x+4DdfpgB5je9rDt3rDb7Gw+334K82q5vA3fq8c1n58nx/V//h///VHH+tdffSX/9z/+xzLiuUQfpEp3rOtdiC3v7+7k289h7/Ht92Ff8vmHcC9/uL4P56LzhXsXzxtcR7/XZt9VVaXUtl8bu9c08VnZPTfdS7Lf414NqlEtc31uePvlaxER+erVKxEReXMexrhziZi//vbtTxrrZz00dn0vm/VW1ssQeP9f9t6ky5FkydITGzD5GGPme/XqdXX3IQ9X5P//IewFD8muYlXlyyHCI3zCaBMkCSPbAAAgAElEQVQXKp+oqRiQmZEJ7FQ2cDgAG9TUVNXulXtltwsLbAauwS9oy9pOejYLkw2LvLI8vmu2wc0O62CDdxsnQBuEe//wmE6kp5gBe7o/gjbEyUIfarRDLK9B2FhwVpPf/vkopCgLu3GY9BlkWWCBOrZNazcwHbJv04cNa1c3ZkaEIp3YGNjH7TxYe05W07oPBu6UJRiMmU4n6FriYNVqe7JoIvxi6txRlKUsVgtpdTFLXxLQRcAMfdiYLeaTRRYP5tzoHmnyD4vEMfTUtx3X3BbgJxaEDPSREU/7TlGWthjkoaDW73jQpTyBRP3ZKMtSrm9WstD97hVt5N56/DkMzgzKj5++2sPibhsGaJgWxg9Q4kFBHptEWQj8Fiw6ilMPi/b5ZPxgFywadZKdz6xtGfcKVQIcmnCuAGybzcvvPr5viaIopJrFsYnFlj2UKUjz+hgezg67g42XjAmMo6VH7+mDrp9MWcDI+hqCWqULaf9qTKMBfzrmaXvFrJZ4TMWX8FsewN58DA/kgG3cy9Wl1BhFCjww5vKAwnuux3w1n7RVb8w0jFja5qDaNh+6hYif+8b/s8PUfTLWHeowpjIu8BDmwS+2czg0sr0Kbcqia73dJb+N88xpvv6PxtD3st/sZbcJfXg2C/c8D408iDMuj4+La0Ab8LBo475G4QA1n2lEVHU1OUcAcg8eTMZux+CKG3/bQ2P3wc2bAJa++U5Bpn96JyIiL0/fiYjI8/ODXDJm+nBxdRMWmgA013pcPOhsDwdpAIBgQ3lIdODy4LKKAJKmLGFcT/CQuNd9MJ4RPhvLhz34MLZ1cQxnruQ7b75/q8cV9rl+WievZ4+ikLqu7KGs69Jz9HP+OOx8R2Pt+JWgb/qMGx9930vRMbExJrE2TIFrv06wMcitWUqbF+u4ZtJ11W4XPmsaninCNuf96uQ5/5kYhkG6vrcHJtYgBIDHyy6MMQ8vr/LlJcyRL1/CXL3WOdMDUR7I8O3j57qyrmwtSd/zAKytAw/p2MHigz7ixzcRkfVTnNs5d5H4gHy7+mNtnDWNOXLkyJEjR44cOXLkyJHjZHwT0wjSt1d0sW2Psz+wiVVVG00O4g5yxStMnWdjOkNSj6MbY+TvtF7GMTm/dX7o6CSya/2gKXuKbq6fw3Hfvkup+3NGUQQErzZdgx6DIhogCDCOIiINbIeiVaB3Ecw8kVpA6gwItUf7kgRsn+uur+6agDYf9sdTYC2Vqust9cnSKhWJOhzSvtU6ROhcEZDGUg67FKmf6/FwbjCNi6uFMRpRQwOrl6JEhaUhnEhLdanCw0gL59NSvd7Bp9lMdJUuNaqqK0PiLT3C3XOXZhqLopDFbCaVbn+vGgEQvMdPT8n719evsl6HNBYYpoik1mw0vDjttKF5lWMcR3pmS5Pqfz290qds94rADu57XP9qFlFjxj2xcU1TtZo0Nf5SwRjB2PGq0oKnz0/J/4e+tz5E34ppRuk2I2qtaZcO1Y5dNTIqXrfFPeODfcJOMA6Q1cKcgxam71rbz8MPmkapEoLbd0gf9F6uLoWRhvPb+1TblzBnMBYzhozbo2vTNFRLOiBrA91M49gax1aNxxavTbajdBeSa9HWmvqHbEOzOmBGGSfafWPINmykH8OMnb7AGNJ1nTx9fbDzWl4F+Q3tShYQLH/f9xMm0cbVUerjOIrBSSicDGCsEfcZBn4+tG24eYFreUr7v98dIuur8yFp5jB9777/aG1yqSjL2tL8b3T/3FPMJU0T9ecbzV4gDbXZa3+CMWuPM2Zck85dExsLms7uIdqO31jantPuT1ng9PoxZBVlGX+rr7Q558q1ILXy3FEUYd8ch5c9EGOvEObDuc4vi3lYk5B2autky+xL53o/FkapVytDrfdwn2atkb1Ttozh6dqd8O/H63COC7kZ2X6wq2SUXGoN0va9PLy+GtNIPyJNlTXJWuVRT9utPPwjyMDIgIJxNtmBtoNpG7v0/p6Mu6MMpcFkBfrsUTKe6jWoj0tnuO+RErHe4JmhrKu4Dt819j+RmCXy1zche2FxYi4+FZlpzJEjR44cOXLkyJEjR44cJ+PbmMYhIEp9f5z1ie5fymqVlTGKGMt4TSPfjWwHatr0ab2EIQDlHzlInXTYO8E0RhQmRWPalhzyVgYzIkmRre1zKlxFk3fOKMpSFtdLQwaiRgazCM2hBqU+lp/uHMq8YYLpVZxOcaq76086NPnfoKvre0U7cGZ0hgG2736QTkBYwmdmLjOfJ/u4VAyDaiacA5ZHbkAfVzcrExhzrF5H58/zlEOXd4oc+t50n6CuXrPozZ8IfwxeE1UUU8dGf92qInXsu0T0wyCtomRbZbnMjEUF5et1YMH2+40hqhHxT01YGD+iAcAi+XySmTDqw2MDovDi7oEJQpii2CekvVKWZTRLcuMfgVa6HZmGnTOGvpfD9mAudZiXPf2CYUnY71i7XFWqMToxbv6aSVZ4745hNPZMt6WvRxhxkZE5y5zxILBJcTzW+6TvjK1drwND/VXP8f3fggEATNT5R2pikL4fjGGEzUU3agivoutd20rXHM9Q8eMxY+cpczFinPHisxVOsS9cR9gbxg6cUCcmW/Pa5mfPRhL9Kd37GaLvO9luX6wvkOlhZleqLadPtbvWUHZ/rxNev2s2CZ7BA8HX+UqqcjIvRvYkXZf4cWWo0qyewuknZYh9iXOiD9+qIRyM46W0/uEwOlsb+eOI+lhlqQ9N/PsEw+iZs6l+K9U40i+b/cHmRVvruWyyqocVT826Jjp1P7cVcWzy7BZrO9Z6l1yLjPfdOt2yz0wSifMeRoEYNkbHaHwL9L1jFifO2L8Stl9d9g9FOr5Uepxjlkskjkmd02uLTMf9QcfzRp8tThn5/Nlo2lb+48uDVMXx9sApFSby4fOjfP05zCf4AZhrKq6qzrzs1FqaGI8x/YnsF8vy6X7dA4BXjiFmHI78DLQ/1T+EPnN1G/oKGV9X829r68w05siRI0eOHDly5MiRI0eOk/GNmsZB2kNzErH0SHRZ1SN9I68pU2Db9npE0IzRvsM2ddt9EfV2Xhvgjtu0SI518Bou8r77vp0wHOyDEgygyKJP7eeMoiikntUTxDIiHSk7N0Y0TukkptfMsSleF3oEVDv12bSOT8po9ZobP7Sn0XG2CXpMqQj0BL8HEftjEZBGK2mhbQvKCHI3H9WAmy/VCdih7J7B8/bt3m3TvjdE57fCMWRF0dhn4fhatw3dptNPehvxohjnzet10btraC6nQzoWOJahDYCZWatLGczRMAzG1HltBjq62o0voJ2VY32NAXHlYsbBGAMI6TVhp0pzxPFD91UWo+tIRoXTcCii2pzQhf/ZGPpBDruD6YxwelurLqf3mRxVFfsjo25Kjk5s7QuPav6KS/BYtzveltVFbVMto2e7Y6YKjr8RhTfGTO+Nl4fAOKKNpVxP37sTOlcMmjXRpNpzXtF/Ra1Sa6yUYNp8wiHxt5i7scOkyPF72DIafPmBgkwVZSVU925OrmQgjI7BO2D7MhOXjGEYpGkOVq6GkipXd1pWZpTBIqK1R0/U+zT9mLGxx/fJHFs5N+ZxfdCok/P60lS36ksx2Xzq7idp47xHHzLXSWX6rtUxdqd9+9wxDIO0bWulENgv86DpEHFGPbSjuoIpwzjOpAm/Od7XyYponbNt23RT1tx1t8m6xzuYV6xJ0rXf+Lvsb2Rmrr8pk8/PHWG9V8VSPSd8C4xVrSqb/7y23+ZHr+E8cX9Osme6YaJJj+u49BoUQ/qe9XXh15qj3/t1PvNhr9tqmkPy/3NH03by+eFpknFHGIOuffnpl8fEOyR8Fvu8iExKyVkt6BPbtu9V5Ug37nxBnBPtaCNH39txW/3LPj736LlSTo7MLualzeHb1iCZacyRI0eOHDly5MiRI0eOHCfjG2Ueg7oOunokigoMhaIHElGPKQuJVkxfFXH1zMBkz0ccUosT9ZD8b4o+RfrGiI2IyGBua4oId410bYou4ChV9ymaNltcwNWzUGcl6mNRNHyTOi2e0qqIiJyqx+NRrKI4zh4eQ7i9M6d3qT2lF6Gd+woHQEVPqpj/DqIC0kLNQ+IYM3SWGDS33LmxGTNOQVs0jiOnqYk7oSvA+lsSiFOOieGzlL01x9NZikQRvtD61Kl1OFmE3SOoh/1lENVB9YwHRfFwowMB827MVVWPxo00Q6Gs6vS1TJHVOCaIfi/9fBiGaSHo39QipIgrYSjukfZlW+YWXaYFnE85UP/Z6Ptetq9bc1fbPIW29oz6+DgHY7zRK6nrGuflXNY8c27jwSTXY5pJ8lsF6G0fTneO1sVcO0f6elhI6sTBruKmevP2dnJc54hBj8c0LtQG1HGucjrlYTE7yVr4TAPbB1Iup5MzVk3nuKEaJtd2wnC5mr1WR1dFS4xxkRkSO6ahpEZnmgUDA+X3dd4YpO9bcyRGW26u0I6paQ+tsVrGOJ7QhPt6y1ZX1NB6WBf9fKQRJ/hONUuZR3OhPKGrNEaJOm+z2vrHzumouFasm8Y1Kc8awyB919p8Yzoo3Nl3sIAxQ8DX54Msiozj8bb30TsPhKquTE/nnWpPFT8nTBPcptc/yTIz/XA6IXfOBdOzl+eKoihktpjb/hij0b2TVcE6qq7nEy+QUzFxWT6xBiC5pOs609HVVbp+89tCA01WFn2y9HOw7gLdqch4HHPj2ZBq1s8d7aGVT//xyeZ+jp3MNo6d/r3b7CZzldfdEzFT6XhGktdJd330C2EVYPVDXaWBU872sdrEtL3MHX6v56pjNNUXduv7sA3VhP/eyExjjhw5cuTIkSNHjhw5cuQ4Gd9sKDcMw1QnUKSIwtjZsDaEOH3FebI27dhv5V7rtkd1eXzetoVDtDq+55CweB6KVnWwFhERabWuGq+mqemujx7nuaIo4vEZco2r1hHW9bfQO49IeV0kYZqiEbPn8+JhlkFUrZ1NP5a+N10ICDYav5EDnV1DyzUP12BxVSZtcO4YZEg0FhPHwJGWUSRcl4iSpaye1Z9sU2QJlgBkzteoG7ujDY5JEIdyekbRHFHrlIkjEr2rr18K6tqlmg6YmnPHIMGdDMYcvR1Munexq5JMBUU1ncZxVuNOmjKO3j3415w/PVo30cfAxPQpS2f92tjL+BvPuNjxznDi035enL/OK8e4fdnIRmsFRvbreGZE1xYCnF/gAlkePzYbq12NNJ+dMO6LJzV5JzRnhubqdR1mMEYr/b5mfBzaSeYLKHVkssMrjNSlYnCo8ITBHqHHsJATNzzaQ9L2OMl6HNGwT5Bu+03KMJ4iKeK10PuwiONTOanJmWY0sE3TbJ41CqmqqCnnenL/oZEfZ0pE1kO1eMwvsH+OYTzpGOyzmsoi0TeOv3uK1fT3xzQzKh4Dv7VzcdeU85pdpJ1jLNQ51Oty215rMY50XV4DyPznNd+soQiv3atqHW8PUW96al6zzKBZOv/Rxr4fRt1kdCWOWVccv6+7d3ytdK4oykLqeS3tOjrRiojVCOeeizXP5zYf+nWCX0/FzJx0nPEZTIwnVV/auG7+IxX9WpJtVyfcUk/pm8uqmPT5SVvI6ey5c0TbtPL5Pz/beIoL8VzdgdGlM19uX3emaYz65rR/mI/CzFeCSOeDvq3sGER0rCYTyTIuj2eS+W0RtjZp03utmBW2huce5TxwUkfbWM3en2quo/HNJTf6vrPOfMr+1Wzw65lUdZpWZAXR52mxeROPeoOW8c7FTZqjVJHxKxOupcnS/nq2v7awFhHpupWljZH2gzX+Ya+LMC3+2R6+jdr9PVFIuDHpEFhYW2c7YppgttZ7Hm7TybC2AT2d/FibjFN6RGIqlRTF5IH+lEX15Eb35kb2u9jetsDy6XL0B72GWH6fPYb05mVyjgOg69uz2lKpGUQtDWB3fLHI+c/UWaQdsIFnMSm2PV/o2Cbl3i6U/kZ/RLoO7eeNdOwZaogpuEOaPmJpMTrInDIq+LMx9L3sN3tbzHsLaysaf2RiiQJ/Bz6p5bgvKOzDb3NsFDQxbnKL/zgWpYt/M1BwZXlC+Qq/GE0fEm08nF+mX/d9L5uXrbW12d27e9HGzKKwkiunSrNYirT7v1/A+cXxeKKzBYcOFT4VjVfuv/bgwK4hbetw70qyPz+WAUrwAH2pOGVCRkQjqvbkAxth5jQzB4bweZ0uTOz/RVyYTQucn76/wj7T4xxt1P6Mkg/9qEqBQj6fLc6/wC7LUhaLK3uQsQc4u2+nC81o+KbtOSf1Nn2QttRJyj7s0/RLHjLLMu4jyhDScXRo0/7nTTcmhhhOzjD0gwxlenwsZs04Q18vNS8OMkjXt5MHOs7Fl8Xou95S/QBTfUq1Gb24NgespDxKZ/NQBLD9opjryDbKQ7quYR+lyV00jdfGl/D7ruuk0/3uzXRPv+qv14XMnoYhHK/NO206fnpQoihKm09YHzEunjbMCq+2lnPn1o3SQQ2QYgqjzRbpWDRZwzvgOj4sTdcV43MRiSZmHEd5qfTUppWHHx/sPX3Wp9hGE6Z2lBLNXBnOg2eZzq2jPEDtATX2VRSFPWjSP/0D58m1CQSFBwvcXDj+29Zbuu3aESO/N3J6ao4cOXLkyJEjR44cOXLkOBnfbIQz9L2hA/6JujJTimgzXzurfOKUlXXcVZo6Z7/DuKUoTOT8W2GIR5ciH4TR61D0VW1MQNsq+qVICCYPpKtexDSkKKQsSzmAlCsSZsVe+xRdGGQwlKNswv9gJ6PBUNi0F/zD8jQOlTf2bIQO1Q6V8ezOBAU5YTRiqTb9YNdwIrI+YeRziThm9kOD+bYeI/kxs9D37XT7nUMOAdGwR44F6EspFccZQEiP2MiPw9s7W5tD5Yy+DkNkKbdeyK3XYn+h1BAKoJP+ulc7eWNcHcp2OFL4PpZNSNGxk6VlMKNwqSVlVU3Tjdx4YtsCnbVt6+/0sts4xEvbTRggE/ZbNkbKnJ47+m6Q7cvWGJO+9cfjGL5ROm3phP6kzmB2QiqPSQtOZByMkWafEtnPFEV3VuNsi+Pm3rF0zr0bH0Y3m2crLW3eDCYuY/DEPv3YVR8xz+JzY1lcurD9pk7nR5/6RDDOj+fJU+U7TjGQU+brNJYcf5q2LQw2jJA3iThHFEVgGkHla9cm3OvVAPNRStEezypiHvdlZHyfOZVaWlaFtYVfT8QyKMgTft3MgnHYp1iGbXAtQ9/l3LkX97Nfz7D4ozEMoQ181gX91Y8ns3lt83q3T7MBfJqcl9uMy3aEfadt3uybyI7oOAHTGTMTWJOkmTaVL1txxIzH3y+M56WbBi9W9msIEhnOqXHjVKXraco0JSYxekgxWyg1LytmLgUa5vpEVphIXJvTlvQ1z7z6fmxlnBxLbvfYyHDQj0Fk9h0O26PbPle0h1Y+//DJnlXIWoBhvHlDCmlktttBs772yGjSbfpzMiaRPsg9ytgxmutiqY3IfIuIlMrWC+y9S0OdlOLwGQFjyRX3zC4113rADCgzjTly5MiRI0eOHDly5MiR41zxjXBgkYhcYd9MK6UP1JElqiaiWEPhmjTf3/bg0NDWa7o0qqqaoLA+l9oLmY0Bc+hoRBd5mt8bmzrWZ46ja9Oc/nNHURajXP+AcIDU8To2TSkFcW6ffKesFZFz1wG0I9oBe9FuRBa9FrFzudoE6Mwpsa6d24jVmBg7GPGcMiATZOVMMUg4985ZmtPvOI6mjsjmsALpThmZ37L9tvbT91WX5spXI+bW+q7TMjZOJzNhy0Bp7ffxPX1gqYWafTkR+tP+UqZDwyBt00axOWxSl55rwhqqduNwSFlH7k/TCA6qCZg7TbTTqv4e23TT9J1A4LzRReX6+2F3kEb1c5F1O95/hwtpN8gKmdyL1rYwjVOmwmtpQCIxw6D/YGYWNVnpOHoM1S8dI05fsMwI/XzvMyRcPy8kXn8QeK+pL50e+VJaXRkG6Zp2kjUxYfYXsbyUMSRzvRetdACao+OaaoL7nzF3XAw6aieP93mf1cE+Qds9gzzeDn4BNte6Qux7zVS5BNNYlqUsl9fWD2nPSVmvKjIkVvQaVqtL1wSNjnWMRUN/vF3HxxC+N2ZmTmj7nf782DgvEue42gp9x7YzMxntD9ETAmO2y7BfmM+Ytp91mZvLjOoqC2MyyCQha8nWL9rGaKv4vl+vEYwN43ICkV3mOKPXQPicOXl2dNu27hxlEDH22LmfuJ6XauthGKTZH6y9aCfrRxNjlW5UgmqaCTV+9eUhTuntiL7vowEO63hnjDP2AxCJ9woGgBNjOVt395O1YI+WsWNtu9d9XSYDp2338svP/ybzRTBUo2zP9ZsbEYntxLVYP63l+fNzcj5e0znR9KuByNCmzLmZNtk1KOxe920avS3S+dGz9ZjbEN74KBynjpO6D7aJQdyXH78ca6qTkZnGHDly5MiRI0eOHDly5MhxMr4ZDiyKwlBzX5h6GGb6ir5hb4g2TF3banHYPbpHj+pIsg1ynL0zUVVVhpJPUFhFntGMgWaYhTHo+gnkqO/bEfsB2pVqT5rqcPT/54qhHwz9BHkCXZhoUsoyWicbk9slvwUlmjlWjKhgvyjkOnJ882ywLzlROqQUsReHaa6vpv1K9SThHPw11P13KTt39hiGNJ/foWQc68SyWkSKQq3fV5QH4b0i4c4Ri9x2zwKOryeIKEjXVstSgN5yLegLbGuS6+7s34uylFvdjxVqNtcznLnCcc9Va3juGPpBmn0z0Q8Rx+7jpjkkn3VoiRWRXC5D6Zvr62CdXc1uju8bJr2MyLOh1Y4JiCg+n4MkHi+V4ksa7NaVIdqR9arsnESi9uRyUUhZVxMX185lA4z16YZKO9TesxswjOirxqimyMgldISQn3KBg6Eytp59+33pPeXt3mebhc0RzAfcZ7XT7tYX038N0hzakd7Lz1Vlehzz2URX7C3yjSFrUw3Zb1mvd21klwenB52UENDLRluv9Nax646mVa9z3/XWr22Od1kDXq92ziiKQuq6mpRDmlj9m+N5N5k7YblO6em8Q7kfG4hxeaRTzBT30eIqZZrj/JCyKeNrH3W4KVtsLOoyzXY5d4S2nhvL5HWJfp3Rtq1snsJc9arFw3m/Q7vunNJP+Rlw/9oapK6mDK/Lbhhwu6RcxXO4zjA4XkMcy+PEOYj9Mj/OV147+6tN9oeD8cN03A1zhLJLDWvNUbbTkPY5vEMoRzObp31uWjGAV39Spa0H7PhoK9YUzVSzLjLKNDM2P3UNDUstt+ZhziWTj8yuI34G54i2beTr489yff1GREJJDZHYR2kP3j/847O8PL6E8+nTMQ02dD5Py9Jc3Yc1ifflOKbTNEYRHbBVQUgdvzkez9bv95tk23ixLFZLOx6yFMbZgyLx3n15eD7WVCcjM405cuTIkSNHjhw5cuTIkeNk/CHhwSkHJM+6BZAUNyRFL2foYDxqH/O1x/sAcTD3UhyKZvMRo5mi9iACHtXgaXw+XyXv7fORE1/nGEbPqnI+oD/njGEYpD20xjYZejapZTjVBp56D+IGary8Wuo2wuetYyYtv/7QGArrC8GaW53TlPp2NzS3O95vRKa13zyz+Hu0aH8oikKkKAyZ89oH2mVcXNn64DJlQ27e3oqIyN19gOzfXAXEcgUSpUwVdf32ID7oaPpe1lr/83WTauJoj+aQokTr53V4fQyvB1drqh4hjly/q7trPbewrcUsRaR+q+bhH42hH+SwO0QtrnMzjuPKlE3hPjOmzqGvaAO9ZoPr2pZTjacFtTlrXM8K/S2sPAxR6ibK9fe13USi1gBGYKZtzPW8FJJKFEVwGuxht/t0fB2scDTj8dixMWUVls71MdZx5DXV35VVyop0I4dQz1zE4w2/Bd2Xt/qBc+VcPwYW40l1Ji8Pz7LbhLZlfDStOxkQMGnKIJw7YNDNDViPeXmtzL0yS+z/5u1N1IU6ppHg/qYf8RrdUlM29+hvNTuhcRkqVtvOZXc0B+3nh5TtxVV8zGqNdWa0QXIMF9CgF0Uhs+Xc2g5GaKHvY13jiMbjFLjT9nvV/gPqbiw5rHib+h5Y7UE7r9GYZA6LqW6a8aHUWpXMtTdvw7xw+y7ME1d3aX9sRgXFYRY4p4OOd8zLPivi3FEUpcxmc8tUYP6xPqVtTB3Y54dnefz5q4iIPD19Tl7X66dwLpZ1pvPhQq+f6svIGrlahayRWteKs6qKOlu/TnA1HWFgyD5gbbjbheu+3b4m/0cnKyJyc8OgE8L0xYs0Y+jcMQxhPKRNm6ZJjjGeS7z2rGHnOq9QDx0We7GiLjrHnu5z6jCta5B9Y5lXrPu8xtKvQ5nPfU3pyulwizI6TDMv3t6+0f2n53yp+XEYBtnvt8YSwuKay7geO335888/W7tbJYgqdTplTcLcZrpZW4OkusXxXBtdwjsO0I5T5LSz6WGbto+dh7627UHK8k2yf++Pwdj3rWb5mWnMkSNHjhw5cuTIkSNHjhwn45vrNHZdM8m1JmDlTMdTlPZUHr+TsgqeycOVtGkPyf9BIMaM3+RJv3RuRrpvUH6QLT736P+4jlLRg7C17tWzmufX2gXk+jBh/Xzu/9ilzdezlNnxS+tdUusqzeOv3qV6gnGuvbG/++botkwn4hzKvA7Gah+OkCfvllp6lri6DL5RKMvo66VFd99UW1LXdaKrFYmM09VNQP++uwtI6fsbRZaXAWmGcewVcd2iw9D2W+/38vklMCh7RRvJSzctmnN3PezUbczpEGJtyNhfQa83z7CSd8k+TCd2AedDkYBI7jf7EaOYfh7HFc0uaBvTIXP/m14IDYSe3r4MiHe1QY+I01vKtBFBF5K6XFbunoluceF9ad9L3eXMUbKKKKqxSrAH64D6vb4GBBMtQuGLep4pirKQejEz9DcysGR8KPumbMdsXk+0WfQxWK7KmFjdh2n19H1PfS80zaz/Qp8AACAASURBVPEeNn2LOXKG18UV+rRwr6z0HqIeW4m2DwT4l8fwOWxOWUitbAfHaSycc2q9VO2vvu9l87IxNzr2A5MEs/Tm472IhIyEK9UezZ1ToSH/jLVvwrGTebDVfbAvIp7bQdaqKUOrcnBuyFwfr1UVxyTAapLpMl9GjRusvKz0px7FvkBbF1Upq5ul9RHGLerI7dZTFuzlS9AjvX4Nr2iY0G0x73knbLT0fkwQiXOZsQPmLpnqbTk+rv+9Xv9bzfS4XiySLa+1TQ/7xtqe4zVPB9W4M0ZfrvZoIVU1s7HOdFB6zq9fYfwDi/jl50/y8PCjiIg8PPwQPnv6JCIiO9i9Dn+FcOxzdQ6+vX0vIiL39x9EROTDh38WEZGbKjB/ZVXISl0uYW05LphOXivn7bDfhbnu9TWMG4eDMrgDDs+9zTuMjYzJbINaftO+cJ4Y+l62rzsbvzgey7pzWXZlUdqxwjD6+p3GOFpGQ6rTJ4xBHo2drBNglaPzMMeRutpa9orT+MLglqP7omCONE03PijheCITfBkH977vZLN5jnUaF2nNYcYOMswW85XcvXknIiL3H8L9y/jjsy182/sgy8+Y16KIayGXqTFfpmOzMemqcXzWsR1nV3TEw2juq5yTMBlBjXPj9drq34rMNObIkSNHjhw5cuTIkSNHjpPxTdDJMAzSdZ00itb4vGPLsydnfb603Gvy1tE0es0i4RkBz0juFDlqmn1kOs2tLNUPgXSQixydFt8kxxT1PtHZMKJP6XP1fp9qzS7jgjhI3w+jWn2pG5vPrT+Wau9rdPnaezBoIFSgI6Ci6EZEpvqFp08BtQPFXTuXNO+cV7pc7rEuwY69PM44xlqal3FPLcoi6qhkhObVKUoDErW8Xk60KbTdHO0bDBVsil63e9U48n/YRHSM+6YxneNuk7p5Xd0rI6SoEKgWyCsoGMj05iVlX7pxfUTqZu2iG5tIRG8vhaj2wyD77T5q5tBnuWvMmNCOWH2YxdlMkVN0mOY46OscpfUse6+nHYboMOu0XuYqa465egzaPoZGOg3HWOtBn0I/eqfXYbMJqCXjGGPluaMsS1ndrCb6E1BO6z96n5d1lbidikwdMulT5uzYpGMI7McStlD7UTf6TdHGGlUiItUch8lwPa9X4Xhg4GAYO3XL5Rrw/Xo+O6ml9jVXPTJ8ruiaTp5+eTQU+FbHB9qFNkbbOKsrY1A3B82wcZkfM3Si+r2lapOqt2Q3hPeMuWg9u66z6wJTAANHP+Y4OL5JjTDHPhDNobX+Y7Ve9TgZA0Gzx2PquaKqSrl5eyurm5RtsoyWLh1XDrtD1ITu0uyoWp3eo8uxzk3zqdPtOEwztztM7q3K1bOz+naz9JVrv9Pxf6t9AL3l88OzvCiTt34K4wT7MnZVr92ratnPHWVZyHw+t3uYNZZ3dCdms6Ws1H733bu/iIjI1VWYH1kzbbdhvcD4zhhI1gVsoF+nzZcLuVbW/u793dHj5frR75br0EeubzXrp/2bnZdIvDbtobX9Rl1dOL7tOlyD/fZ4re5zRdd28vr1xcbXmAGjY6O2B3Nc0Jr6frnW7+icVaYa8do5SJs7M87Ko2ww1ge7TdjmZpNeN5jFWCtS73lljmuXXYhWt5/V0SWbLBVdz7CmunoOfQbG8VJxcxP61v134dX3K7JChiG24bW6ok7cdV1dW8YBdIe+6sF4TOG+5j6L31E2Xsdb7jvc9Ln/b7S+JNljrP+aQ2MsLmMG+2L9TZYCzOnvjcw05siRI0eOHDly5MiRI0eOk/EHNI2ttNQ9dI6Fs1oR1XnUEMLmwTiCnqBd7CtF0Oap5obvRXcn78zamKtU1L2ht0iZxSut4QYShh4DZMnnZh8Ou8h2OG0lqBjHQ878OWMYJNHYgY6dchCrqtJQD/LJfX0qdJG8gsCiabp+k2qK/vou6AmWs5k8bcI5/0ORii8/htdnZRqfPz0l2zR3PkWwYcPQJYCSiEzrIQJjeCdLuZB2oyxLOz6R2O6gRiDqIDrv/vJW3nwf2ubmPtWmwBI0WlsNJPlA7UXt852eKyzDVlmUp+1WnrahrUGWQKBos+KuSI7rCh2Etg+sb+VcM7umNQR+Tx+g9qMe38yxzucONI0cB8fKPeWzDKqqsv4BI3d9pTrMBVokZUtKnE1TJD6yEnrPWw2sLrKPOKoKOt60duBskTJYXsNrx1tP68aWTi95dRUQzPt71VZdSNNYVqXdbyLTWmOxFqXTR4/+Z+gn2QrKasGo4dhr94iixcZY6jU4bPdWb4qA3YKVRHuJ2yXjmK9p6lnysiwiiq7tv2Nb6xTp9czZuYI6a7QhY/HMsVTsfxgGeXX/4xhh4Y3tJgOjTJmUmdVWTJ3A+34YuRWmbrczd09wfe0YGHNqambCIuo91vZ2Pfgt2yorHZ+0v19iDKFPo9M6lXkz7stjn4LxK4H2m/5HbU+vR/QMzn67NxYQVoTsB/rjfRPu9db1bd+nYS83ur31SIuJZpD5nHuNfVyqTxM+i8lnbDDOvvvrO/nLf/1eREYaeb0+rDnQYT389IuIiPzyy7+LSHRXjVo+XRNq1sGHf/4gH//+UUTi+cPKLrVdLHNC27r6S8joQFfMq/UDHX/2m718+vdwPD/+z59EROTrwyc9HjJxUsfpc0ffD7J93RlbyDqUOY91LP2rquqpF0iPx0F4z/jq9Wxo5Ww9wfpq5C1hjr26LmF+Zk1s2Q/LMN7D2l3d3OrxpZr2mC3YiWjCG+Pb3LTt4dzQtcJOnzvKspTV6saccj/8c9jfX/97YMejVl7X0YfoJutrXxOMQ3ha4GFBlszmkI6vYpkRvTGujJe96VaL5JXYrVNfBa6fzwZqD60MV9Q5TfdB3zhseY443lanIjONOXLkyJEjR44cOXLkyJHjZPwBTWNjOd8E7CCov7GK9czYvPU6oqwi07xomIOlsoSwhVEnicsSKMhuVHNsSLYV0fyP+j6wExzLy/OXsA2rAZm6g/Z9F2vJwT64epHEdnf+3Ou+62XztJH9Bue0FN0DBQFtXN2sDF32NRA9kg3q+aJo57WyBzBp5Lz/7a2yacul/PA1tNcvD4/JPsxdETZTmbP5PK0FCcoHulWP3DmLJtVRRT1Zqn+8RN2vsP1CVneRkYm1MbWGoaIzb78PaNrHv3+U794rSqXuqGgVGzQ1vCrj+KjaAJhH2u95G9C01124Bp9fX+Xxl5S1vdJj4zgKV1ut71KkHPaQ3PeNsnnN/hDdsxTxMr2jbuNWHTWHb8xx/73Rt72sH19Nh7Vdp6y9dzWuqtnk/jcmcRH61vIqoLAwLtwHlXeIVDQw0SQ5xzIQN5DS6BaMvjmtjca1sHqAs+hoiH4U1pL+i1vb3d173eZl9KO4AstNygiMPxeJ/WXztLE+z/1pjqtVylgRsLa0KQGTAnp82DfmtkjfYx/Xd2H/zzBATvcRa2Med+EO0tSUBaKtrZ/p8XFPXCKGYZjURrP+c6CWKGzpPmZ+mBM19ebSWpMe+Y5MQtq/zbmzKqOL3xU6w/CZuY6Cajs37AGHcO27daeaKnRi18uJPs/rn6P+9/z9uqwqubm/iY6n1FAc/H0c+y1j3NPXBxGZsjhx2zr2LNBYBdbku38J7BltCtO7flrLWrVwzy9hfkTDt31RLd8GTenOjkckjtXmzqyvOC53XW+sHNfm8VNwXR5+Yd2ENuxCjp7DIF3XW/887FIto7/nr++u5P3fAmuDHmx8/4vEjCT0929+CmPgpx+D6+rj488iEsd/xqw3393L9//ynYikrskiozqmOo6xT/o6WsixhlEk9pHFci53ejwT19AWZo35IF37nSuGvpfdZie7PbpEvV81M255lc5t9ay2/sp44d3fCcYZ09MyFtzqva3/jz4DjTybAy0sPVkP9Lk0o68sUmbRa8dxeB+GQeZL5nbNnHDz0u27sFZ/0Xvo/FFIVdXG3n74p9AH/+m//lVE4pi41v79+vRqcxfznc/MYDyCteT1SpnyusS1FF8WMrz6qM13Phgb/c7LS+oXQrYPx/DlH2Fc+0XZ8md9tun7zp6p3n4I58j9aRlRJ1zjfysy05gjR44cOXLkyJEjR44cOU7GNzONY7dQq8fodAKgeev1o+VF+/qGuD+RD81TsTmPlaqV0Kf0leZPg0IdDjvTEvRWH1LRQHVxii5cAUny2qmKOjg9NYhijchxHR+RmN8edVetnuPTtKH+ZHRtJy9fnmUHigYjpGgQqCdo2tXtylAD72BqaLIihS9P6nyq6Gj5kyL5ivj89//jv4lIZM/eXV/Lw6uyBAfHUCny4rU7MIy4TS2vQQ7VPVCPv+/7iHKbY1jqXAk63ykidu4oVNNIHv/6Oc0V906RXddLo/3t4BC1mXN83Cqz+LJDv6asqp4rrnmPyrg9fno0xAiEEFcvEEUC9gtE2up5wfIom8Dvd5tddM9y96uxeaB/F3JPFYn6r3CMOKHiEKb1ACv6R9SJ+TqNhEfrzcHMsX9Ea0j5zrZp9VwX6D/C8XHPwLzQxqYnvUsZD9qx63pZq5sZKCUIIezmcokD22X0o1IUCaO/WKXaRe+w2eybyIg4ncmVaiMZI2CTuBR+XPD1oYaRy2Rr9U81q0P7a+GclU2rp+PA5iUdf9lXsz/YcfMa3ep6/f918v9zxzAM0o6cRcf/F5m6E3dNZ5/BoFYz5jvaIWUSGIcYc3HL84zsfsSgV45dGTtAj6O7Sr0J/D1Wj1z40K3Wdco0egfhb9XJ/J4gKySyq3p+bcoe0Ze6ppOd1rckU4g1AeuNskzbmf4IA/LhbwGl/3ibuiv+9K8/29/4Gix03QHTbPNclzLfdQODq7pJbdNYx7iPmUN6LanvSu1D1iyr1XE30T8fhZRlIT39r6Veccq2jNkXnFw/4ZOg87/VlDTtfDi398ryMJBE9+zpfUofXC5SNt/rRa/vQ1vC1OO78OXHsN5hPI5ZW4WNa8y5BH16tQpj0W53Gaax73s5HLZ23jCMV7eh/W6cG/N4/vZO18xV4/FRRKT7qm3Pvax971pd2anB2zWdrS+5Hn7dPAzhvttuU83i3jxG0jWz1bOeLW3OZ96zbAi0efgJXMiptigKmc0W1sYwmx9vA7P5y3NYT1EP+PN/fra+RZ9jLEbT7OcV2uOtel+YPpI1m/ZJ6Yc4D7i54/N/fhaRqFHkXkLPjZaXjIiDraPD7w+HrR0H65bo16Hj/In14G9FZhpz5MiRI0eOHDly5MiRI8fJ+GZKoe87KfRZs+vQNobNNI1qSJQBPBy2ViMRZG+lef/oDW/vA9Poa2yBGsJEwV4St7dvZbN5tv2EfQRECBTB58bj9Ha1D8dgKJUihaB5u93a9oeLU9GlCAg6LF9n8hzRd528Pq0NNQIhqBy6a/W1iiKiOeaWlTItoCPPzyEH+uef/y18T5lcNFafNUd6/7+H813MIgJiromKsIAsWm2Z2tXn2aduaKAhY7dSUFj0dkOp6BWmqrDCF2K/yrKUq7srY5QNFTKXRnU4VcTn4YfPhoY9LEL/+z9haw4wr2htdB91ytwMrr4XSNXjL4+GMNH/ce8zl0IcIl+j+5tIRMq93vX9SBNqeiht6zffUwcr1RV4puFcMYhq0BTp8jrN+UHRx4NqKvvBGHR/XtwLsGDUW/L142DSXr8GdA+0e7N5Mc2KObHCGJaplo//g0TDGIC+w/bORowjzqK4IDJGMSZd38HCp6zPuYI6jdyDBH203+MMGP5//eZa3mgbendmjpH31BDdm3OvIvDU2+xSdqxtuol7M/d936VOy4xf3GOH7UK3lTKMMBzr5425Tm42r7q/sA+uq3fXPHcMQxin6Dc23rlzNj1/2ydMx/g3MF0HVxs36o+75HtLyzZR5qwqot7Q3TvRtTPsK9ZcjDUvRcaMuepGR9pf+vjC9QljaSwz4Pwa9LKq5PbNjdy80XtHPRR26OK1LZ5UO9f3vdy9V3+DD6Fvm66TsbhHn68unKpZ5PN312Et8fEuMBI/wp4tZqavZk1zcxuYBcYkY/q1jWws2KZacsbfscaUeeCXH34QEZGHh/QVVurDh3/+zXb7IzEMvex2G1nswjnSD60u6EsY81g7zWZLy/BizKXPmn5Z245xBidPY1m0nVhnjN190VBynV6fwr2Oi+rXn8PajfHNO3fyylDw/KDutE+fJnURvd8G7PSl9OehrdeWjceamXZhnrRsgu1+4r3AWpDzf/ocmLLNJtwLda1zrTbA27+oZ4XeS/T32WJmay3OmzUwa96xi6vIuCqBsr8t3hZkEkXHX2NLXW1YG9+pbXi4nHvqYnFl7WFu1G7tStu//+s7W4MwxjKurp+jU6nI6JzIDlBWO47xqRdIXVe2f7K7NmvV3+O0bOvjMvmtaXb/t3CN3v31XfK7oe+NYeR/6HttLc04/41jdWYac+TIkSNHjhw5cuTIkSPHyfhD0AmOoiAysG1el7ZYXFk9lGurlRheb+4DOued3HjqRRvhNW7o4tquMbQNhnChrq0gHiAiha915fKHq0ZrxigyUhal9EPKBhkKVFMXDg3V+bV2Qz/IfrM3dCGyh4pYtGneOizdOGg/2nPC4Lprtt0G5A105PNLeH+9WFieNwjuizIr6CNhmGM9IdiT8P5WUWnafVwfEBSnrlN2a7D+0Cfnfu4oq1JWN0tjc0F+QIVo4wfVRHz56WtE/BR1fVWmA50PNaWofYkmAZQItNRYH9weX7cTd0nQrb//JWzzbhn6OHrJz9+F6/T1a7gmXHf2Nb7+vUO2Oa4b1RkslEVvHRN6rgh6xsbQ/Yg0p0xnN3LfNCR0lbIhtA8IKfoBWBb68Y//b3Dmo04gaP9m8zRybVUdXRf21XtWa+QsNw6+B4MLoldVlV1j9CAg8lb/U5HCSzGNRRnaoqrC9hvrD9RAC+12oxqg5fXiiBMm9RqV3db+TjYC770Wzjv8Bs2ftsc2zczgnjGGCgbxKbQ52Qz0Z5hTmLj9dmdtzKs5cut4xD1dzy+jkxEJ95b1B8cCdKq5Y5zuR1ro0tU0s/q6ug3Ol5qTlnnhnDiJ5fUy1qxzbCDXl+vJ57F+V3osIOTcY8vrpTl88l2fiQG67bMXzhFlVcrq7kpu1Dl5kHCcjFvFtbIoOhZc318Zk43usbeMjLSP4gBOdg9t0ml771R/Ttvdvr2Rmzutw6jaLXTKZIPYuoM594ATaphH18qSffmk+iX1R9jvN/Kqfz9+DbUDcWhFP1kqy/P27fe/2mZ/NIZhCJ4D2r+4vpZdgF6tpP7s7ci5Os3QmDtH67GOWiSOo7An/l5/+foqn/7jU/LZj/8axvV//R//j4iIfPnyDxGJ2QW3t1qn8UrrTzsHdzJ3ttuVPD7+YucsMmYW03UVLqbnjuAVEjNCYLDpa8aajuZlWFjaEJ3cTp3aHx9De72+hn6zXGjNcmXFmR9ZXzDuNvvGrhv9G4aV41hdh9+MxwWRmEE2ZXfjutWyr8qYASUy0soy7h3RtZ4jyAph/xzbSjPq/v4+9Bs0jmVZRs2mjiHULYcd/eUh9J/x/C8S+z+aZfNC0EyE6zc38lEzIBZOw3mvDsRkMcH0o3H0WUCxbip1OBejtZHuQ8c0skC4Hw/bb8uW/KaHxqIopK7nlp4aBa9p+s1iEU745uatdVI+g3Z+faSwrbMMdxPb1ZvUUp/FR1mWcjiECcpSCytSMTFb0MUeJSFc2p3RxU5IX1a1DPqQOKspI5Ia87APb919riiKYjLxYswRLaGx9W/jhG+FQ0ktSm9cwqffYuhDJ/23z2Ei2zaN/PgpLBJNVG3FX5VK13Rk2nG1Ss0EoOt5OOAab583MXVrnj4ccqmiffNljHCqspT71ZUtpr2dO+kvpBuKjGzlnSGRDZ76nv/T9gwqZo5iD/1qs/yysb4aF5HhfSFhGxgU3bB4xIpf235DcXTdJwvmrmmtbyx10Fq4RbQtkJr04ehsMQy2aNODFJGY1uENWJZXC1tU0+cqB35Y+rVNPpq+pG1MfyZ96fk59Ou+7w3cwHiHxd64dMZ429xjTCKtW7AzKO9et7Je83Aa9s8YacCKtj397dwxDGGBTF9lLGRcJVVlnGZYjso2iExNTjDPWWAcAeBHwXd7oE+NSoqisLa1FF53rYlJ8fUuBb02L1oy6Clcz8NhZ23LQpax2gyOdJ/1/DLpZZQ3YaxlfKbfxMVEPDfa1oybaubUIdnGzlms28LWLRaIelbZNeZ6FbYPynToOGyAbFrkmXkRzze+f3V3bUYkmIHxUOHLm0TDuDPGMNhDnb5NYq4pZu/1oXFe1/KyScEiSy1v0jRGAykxuVCjoU9fAjDKgvFFx5W+H6yd6WfMf36c5/4wCYnOG8w5zKM8GD4+/pxIfEQiyIvZCOuOS0kJRMIawQNlPpVzvdMH3c8bA2lIV+SBfa/3HW2PCQqLVUA3+vh2qw/GRQQ36KOsF/7z//p3ERH59//vf4iIyFct10F7YZz48bt/ERGR9+9DSQUPbJdlKbMZaZWpccv1dVhsIxG51PghEtrVCAl3/07mmeV8ZGim/fiRvpSWhuM93399CePm15/CGt2P9Yfd3sYk1g4+1Zd1nclw3JpzPO6LxPFlqKqJ8YuVVOtSsmgYLjB+HAlL1ddjfq9l1CiB0fW9kSbPWnru66cwJmBaSCo5/RuDvPsPgSAzORlpvzp2v3lzayQA6bG2VrwL29o4sIbgvZUDMUO5WDqIdQwlbpDwcJyNldH5tgf0nJ6aI0eOHDly5MiRI0eOHDlOxrcxjVLIrJ5LrchMdaDQKuwfCAPoQWNpWfzPEDNluJYOnaLYKGkw0LQ3KqK2NKuul9fnYN7S6jZJKSV1VFxazqki1TF9RBH0Zif7PbbllPFQC/gSNrNJ/n/WKAJi4FN2QZWKjsLcASHYPK0nlvXRSCh8B+E6jCIsrZkXbQIS+/w5fO+XfwT0ZH9oLPUBUNMMFPTacU3ZlrFAr4pIfcU8KE0NGlsVG8ujLEV3oljtuaMqCrlbrYyx2/01nMPLl7S4Mojc6u7KkLaqTtMQLIXSs19NmuID6m1MwIiJJL2r1n5OKtOPXwO6hTHRXtnAR02VIEXWkKcOi23KScxjv4dJgNXQbW0UlST9+NwxDIM0+8O0oDnFxOfpfbp53kwYC1KdSP19c3ij20qZAs8wPn0N/Xm9Du1YSGHjhJXtwGjKmE+Q1nj8ItN0TM+ODcMwQmcp1ZKKzelDpKqcPYZBuraL44G31cZ2m/YtCvHYbtelxj8e7aS9YhH5FGEen7PZ7rtUZC8/8BkR3gDASlIckQWYTbtr+0sb4VR1JXcf7qydLGADMB0CoV/MrM2qSXoqRkHanylRoteJscWQegyiZimDKzI25Fok37U0whnpslx5pAJp8eex8ZOxD864grGMMd0zVOeIYQjHQCbENHsm7cHr/d7G2i8/BZaAjBGO08+TjE2wS2tlLblfsN9vmzbewzdaiNwZQcESkLGwdAXnY6pnSDGNspq5lcQaZ0aIxBRsmL5LZTrJMMjQ93YPkeZuaZEuG6VpD9KudR7R7IrZs6bAK2O3WGKIomsPM8o7XlapmsWyI8ZmwazpaLVRWc36NYzr251mBq1VrjGkbC7l18ZMraX2aVooDCPlqliDMt5dOnz5KNYRZOR0bW+sNvdZ4dZ90ZyQcULHX123xswA2F+V5XSDsVWseRirfOaNLiGlKNPMPgImnXm9ntWjFOY0ayeWtUpNd84dRRHalb5G2uezlkVjHUjW1dN2K//xEDLtWIs9/BjeY8DGPEc7rXRO5xmmduXibH7se8tgWGu5McqzIaeBDWTc8ZImzzCOpQaTcR7DG9YtZLf035atkJnGHDly5MiRI0eOHDly5MhxMr6NaSxLmc0XJjbmaZ2AfeO1OexjXrPZFaPlCO/IXY5CTgpKq+ZmhRVwqoe7vr+W+3dBtIrF+kEZL69pMebAGcb4wt/9szJhXTMqH4Hmh+frTfIbzHYuEb6QrpkDmX6RgsqDlJXTZijKs34JyBtFgUEwQSwNmZJUpwWKMvTDxCqc/V9rwWOvVzVUVFnmx8+KIinyiqahrEpjjqwwM6JpQxaxv74MvlGWpazmc1nNQ//afxf67leQaUWionnLfFSQtrT/iUzRM6/ViKJmZd8dO7xb76ycQX3A0EWtwT8ryqViczSO+zZl7abFz8PnVzLSkiq62Fkh7tSoget97ui7XjYvW+t7jCMweTCyXPNxrr2VA3h7Y9sK55BqGWE+KAsDswD6PdZddFirF6kemOtS2BiVMgjDkJZJsPIQe8a/PrKX6CV1Y9fXgZW40qLKMKbnDgT/xua2KQtjRibFlOGL5R/QMmLglOrAfEHiU9bdwzBErbqizr37rmdz/bY8S0ZmSlVVZpoAK+It820f34io/t4I5U2WiVFFODYtdaH75dxn8zoypsqwtk06bvcjBph9hO97feJs/DXp294QZNgDPrTSNjpeec2SlXhCg0e/17mleW5sDO9dqQqyXrZOU33uKKtyUp5ru8NYLW3/si5HbT5LfmN9XK8ZzAtjNplN3liMflrPatMmeXMn5reZK2HC+OFL+oyNA0VC+SvWSzBifOYNPNDjXSqM0XTliPg/ay2RqNtmHcAr4z2s11L1hjc3gdHDkI37k/akXearRezLGpRXs/1P1g9qWqLrnmjOEvr21dWdnUflysJd34XjIQvkypnonDuCEU5jx+HDsg10LD+Upd2rvuwR6z/a2mtfvT6d/t6Nsn6iH0Lox83IRyT89jgL6DOnxiVkOLao1zw+12PI2LXnz1TgmHa7tWXa0dc+qW5xaxrQ8P0fPj/I0y+BxX5xPgn8lmcU74cRy5ioZtZM3si+jNrJHc8wvjwTbUiZDubR66jJFRmbT8EsFzbnmoa6S7dl83suuZEjR44cOXLkyJEjtu9c/gAAIABJREFUR44cOc4V3+yeOpstrYwGLCGojjGMR+xysRGOmpT0edW/j0hgqgkyxHk+G+XvKqoyqGun29fBClmnSLk/FpDhuppZTnVZpkXTx20x3tZ5o5CyLCfb9uAtzGk1KyZMXdugWUyt2kHf0WLWihhiyQwSBCqxe91aPrXpVxR5Ild7tQq/BdVin3ZM4q91tHLHibF2CBQuorz3rMa5opCA9lR6rNcL8tLVpVQR58NIo0OeubEmxuaoY5m5UqX6AdrNX0iQxP12b7rQvlftoiKJ6GNelImkTMasSott41jn+2ffDdKTCVBxv6aOZaCO5NOfO/quk/Xro+kqjJFVRDrqhqfsV+XYE1C8qAcN7UJbm0W1anU513G7GFqu13yGXTX6jjZlIbx+AHQXBr4Zaa1gCig1hFvfG9VI4aw7dtQ8ZxRFOA76LX3RWENKzOg5j7VwVqKhTjWKvcti8BH1synDsrhaTMcnvRe81hL2hXuLe82ObeQOJxL6iul1WhjH1MIfLZnPLDlXFFUpy5vVBGk3h8MD2QBxPDed0gl9vemiZykKzP/pN/TVcqS3srY2vehxJNlbw1uJEBxru5RxbvYHQ6lBxBnzGpcVc5HxehikbVrZ7VM94vYZvU+qdZyv5rHEzbXq1ZTh947WzHcg9bMlGq9UO0SUVWltznWPmufwHbRNpk2zey/9vi9NMJst5eoq/A/fgLu74N+wWoVMBe8Jce4YRKQfIusUGUbWHBS+V5Zw6Cf3H3NZo+zN7R1lMLTsmjKM9JW+TdtlQeHz5dz2yz3N/Iz+EMaR7KbeZbBxbHhssFZZrW6sDSnTca1z/s3b0Na3dpyXYhp7aZq9zGdp+TnvZnzAQbkfRhk2ev9pWzO3kgXImjyOSWm7MLcxDlWz2tZilt2jx3EQ9XcYdI3oymXEMS1lv4hxJkZ0MU4ZU9aO7YU0jcMwyOGws/YiE+nrozKNmsmFd0Sza0bZkmkJPNEkoYXLLFjdhT6KJtbPeVYualPLWn9j86GO6/yWcd6X5oL19ven17qHbacO17T1wTI0MtOYI0eOHDly5MiRI0eOHDnOFH+gTmM1qsMDykFtGJCi6IDUKQs5E5gBzzqlOjDYLHQZ/gl7jOL6PHUQrZijrghznRYnjZod/Z1pMafoBrnVsKeRgUwdrs4b4dxAGcxBsEtRIkOd63JUKydlAazO5Az2VVEkGCrN418p+kdeNuc1DMPEmQvEHMaBz+dVug+vLQKpmxu7WNtvIVX7BmY5RV8vWY+qLEasCLoL7Xe46NEv95t9RIqtzx4v5t04BG7uCtSDLsGSFUVhfdfcFA+pnsw0RIpyd9QzQnPpdEpoBfabfax1SL+qU10BCJTX6Jwr+qGX/WFrqC/jhtdygALPl4vE/VUksh/malunqKcxjPrKGDVx5SzKUT919VtdAfDosJi6+xkCiYvoiJkzV0unb6A/gZhfruB8es4wi5snrfukqCMs3HwxMw2E3XPUAjV2K63rxzYrVyyecxvrxriO9E/vrunvc2vzRcrqc012dcyIqDYwZWm9TepkRXfXy+jsqrqSu/d3I0c7NwYvuN/j/DLpj642GmE6dhz4zPkunX+sBuByNkG2PYPTuLqNMALsw5h00cycLjJkoNXmFOv0haXb9jljkHBvwnJynIxXViNS22y+mNn9ZY6cdVoH2sZV7Y/UsGUbPnMjtlk8P2MSYX+cDp/+t31VDRGZCbv0+vSjmqR4JUQto15fzVh4fQ2u0FdX97/aZn80xnORSNQbDiWunJplM2O+uT5Z1B0W8P7uo4jEMZB2oa2pe8w8SX+8ulsZQ8z1uNN7GwYW9tK0asookk2CaypMLWvYm5u3xjDC7rBtmFDWK+WF3FOHoZfDYWvXnIyfUy7tXdNK37vMjRaGMdWVsm6lH401qCJxjLCxv+ql79P+XLhsmM71V7tXev+aZvINQ6z76d3xWZt07em1+DkDHxRfzxkW0Nyt68oYZ6s/jB8AngujjBoRkTcfA/vNfGhVAvwYMqsjq05tar2frtRj4/46XLcv16mOcqxdFInXiPuy67qRXpS+0SbbMBf77J6aI0eOHDly5MiRI0eOHDnOFd+uaVzOpcJRrAG9COicR4m7thnlt4enbfQnIEAgI3ZANejSlX5PHegcw7Bb7wxZNKYTxtGYT9W2zNPT9G5xgyIGbav5711jueAxR1xdjfR8BqtFdgGXpyGcLwiNMaKKWEwRr9rQ4pkyZV4rtd2ljpjk/JdoGjWvH10XQHg1q40lKI1JCZ+BFh0O4biiY5ei4HWqVwR5GbuQGTo/Qd55f1wDe64oisJ0gSIiS81lv3uDViPN/d88b4yR43/NPmXmfM05zoX2i458U+YKRBntgdfowTxe34AG9smruZK1Keo9Jmr5Xwfi7V16vzHH/fdGyFSY2b00dV/W2pKzyJ7AMHoNI+3SO0dC7hFzFh5ghVO9WT1bGDtDzBybBfqKHsq7wdk9ImktxLIqJw6V7CuycdwLl3JfLqxNREZssjkTpm5rgZUhcyFFtgmYET/OW71Gc7pOmfShH8wum7Eg/jY9jqjJ1gwVZQ/ZNu0JQ7rf7u1cuk6/o22PM62/zueOsirl5v7aWFwQaM8GGvPXDyNmLh0bYHT8+M02rVauq2lqx1KWts3B3PPIWgDF75L3S63juNR7bLC6eeq2PERXbF/ry6PUxlpeQqs7pHX1KCzK8fr+2R5aKYq0dibtiG4bV2qrqajnh9be134ku6csSxsHuKd8JhPXhrqM5mIIE1nBruvpDHGMms2o6aj1q7X/w8Cw7rhk366q2tg+zts710btXCd1ldZvLorI5omIfPinDyIicq9MDGO01SZ2mmhicbU0tsf0darH+u4vfxcRkS9fftTj0Dqbt2GfZK18+PDPYd/3ge28Vob2+u5WrlSDBgPK9aqdv8OlHIGHYZC2OUQ9X4tbvureGY9HmSyFWxvGdQMZZ9wL6bHHWurHz6Vve2m0Pq/K/qJTMus9nWP9OsEc7102XjzPflTDXbNUKmpaaz+6cG3dQkId987VT2YNVLkMmLIs7T72TCoZJXaP1KnDsHfPN0Z9NM9aBoS2S8VvlRVEW/n2TeibT3V6nccZgePzaQ+tzTdWD7U93o+/takz05gjR44cOXLkyJEjR44cOU7GN9ZpLGS+nEcXwTWooiJE5v6kT+9FEVFBe02Ru840R+kTc9S4hO95VG/zsokslWkrcYJSNKON9WFEZKJvMNZw4Fgiq2gIQFUn26SeITnlx5xi/2wMemzesc3cGdsUjanqys4NJqM03VpAJr5+Dq+W86+1k9BEcL7RWUlz4UcwBOh27ZBAELLBXAsD0gg7ZKwLroowA00Xr7fTQXgJo3fiOleURSGLOt4GjSKq1G1cz3DY1HO+u5qwIWgYfVjePqy0c89rDunvZosjeqQu1fqiI/DBsaBVm9Rharukrud4H8Y8NpdhGAl0MqC/3Le8926Os+UsagtmHrVM6/kZu+IYEO7PpiXTIeptqc8Iso0D7dz1775Pj6t32mJjO/X7s3ms4ca2bQyapfpezu9S4bWCURsIg58yXePfEGjIQPd5D1Pi2UPbDlrorjdWKPY1XJFVU20az9TJ01yU9TrjUNcsD/q+njB5XjvNcfo6veeKqirl6v5aru6pDZq2tX2vTue48bHSv/eWvZCyZrAdME4Lx1hzbmVdWhvRi/mNd9D1NTytTilzR5/OxUm2h13r43qYS0jQB3VPjU684f+eDRy7vx6cgzUZG1+0Du/T18/Jb9tDYMHuP4R58VT2xWG3H9WKVXdC1dEtHhfJb6OeOXVT9NkgRSgHJ03TWAYC145sh8UiHS/8uZ8riiI4sg/OI4Hxgr49bxjLG5E6rXe4VD3W+78GzeD7vwWmkXOiBjHXyOthGVcWVwvLPOM6ML6y7Y+f/p5sg0CXCcP47sNfRETkDm357ZVti1dbJ7qm/Vbt1++NYRikaQ+2XkV7ZvN0k9boq6qps/4pd/+xS6xIrOvpv9+OnYdtvULd1tT7oHVzamQzyQpUptGtncfH5Y8flt203Resfy4Sn1EOzo+inVHvEk+IJrqe6lwU3dTDeZOdR/9BH106zbh3Ux6Gwe4vc2bVNoNpfHgN9wh1uWk/X4fbt+d4vecz46wmrZ67X4f+VmSmMUeOHDly5MiRI0eOHDlynIxvK1xVFFLNqshwVbjtpe6aaNvGn8FCgiDwnQligitek9YWKXdh22gRti9bQzNhD8iv7/vgiGTOoIfrZNt2bA5tjwhmaecGkhdrEIKupPV/zhrDcLQWWmRR0DVE5sPqdrn6LYY2qJsWqBC6A15heTwbtrguDPW8uuuTzwylwU2rhw2ok2MxxtEzlEVhSAn51mPHxfFvLuUyWRSF5Y2LiDzvFOl3uh/Ocej7iWZFjB1Ma5iRSw4CdSpPPzr7VYYmttaG6XlvtCbZ0ur8KXOm7feqdYd8zbWuaSd15GBIjWnQ47hUTcxAoQ9271fOwXe5VO2POYOVo1pQI32cjNrUlc4yV7EqzYLAPQ/3uMXiSq5v1SXvTbgHYLvov7jijusNisS2hv2NjAEIaykLxwD4OoXVLGU5zx5FaD/TTzA+uP2hv+i73s4L10zuQeq0vqjTnLn7GYuaMlJe4zVGmrk3uIeWrs+ZjrtUZsfqw2l2gqK2C3VqHgsyDvvU/TVqMxlDLlOnsaoqeX93K+u7cO+ByHONJ2xNXU1cOGH9jNly/Yex9OoWrVvos9f3N/qq99DNaqJzsVeXtbBWDaaNB7ggOsfmcQaCufRR81K7E8cb+8K0nf5sDMMgzb6xOa10cxbG7Ny/bdNJR/1W7cMwjD/949/C/6nb59Yy+CWgebR5taS+487GmDcfg36u7+6T/XP90db+5aO6dKo7J/rcwtXq3K13MatnjpYwfEa2EWsd7zx97mB/0eVxmRyzZa/0w+iYwjHjxH7/MbQLbKFdP+371EImOFe7b2d1nBf1O6Y31zH7/ce/ikjMLtvtw3XFbZZ6jjCM71VfubpZRmbdsW8+O+NSmTjDMEjXNcbcwdRN2URdX4/GcPpQ65hwamOvVqF9cJc95c4+ZtK55mSl4cTKvRK1fXrfwYJZFg/ZgzrGkUFUz23+5TfR/Vm19fr5pRh0KQopysraOOoTU9+Qjhqsh1bWz2SQsLZKdY/LXj1d3jknVL1Xbpfh9cOturBqezQjh9ibRfjOlWaePLyEufY/vmhGxFN4z3p0q89BnXPGpo/2fW9jMWMZv7F6jW798nsjM405cuTIkSNHjhw5cuTIkeNkfBP0WpaFLK+Xxg5FFBvnNxzwInoQ6wulDCP/jy5g1E9KdXPmRKQINU/L+81ettvw9G0MV+1qXPXRSShs22lvYEZBtJromGbbtDpEynypUyzHDapyzkC7UZauxhROUyBRXWS8QDdA8wjTTulxW27/u4DMvXnznYiIvP2ozmbfpZqO6zfXIx2B6iqoewZKpO0KmluUKRrtGUeirKO7bkS103x+WaXM6bmjUE1j55yxNrtYl3F8fIfdIeo+jVFMaw+ZE59zJY1s5ZB8TvR9L7sNNU7DNlergMLSHvR/9nGtKO1BUSOrNzTSMoZji/pR7gNx7BfX69I6O4J7Cb0F9bm41G3TRiTN1Qw0Z0qnU6vqtIYpzn38/uo27Ov23e3EkdXXhCw88qzbOMyUYX9OUVrTRjetXVvGxomeDRbuEi6TIsGBue+tHXy9W98Xu7azYyraqDkWidojmEbaAcQSZnin/TwOr5GhtdqszvXT67uKmTKfzhHT1w6djRzo6BMLYz9S9pJ9zy7ENM6rSv727p2snYuyodhO21zP6olTLSw1yD9jCmwufRINI/q4dzpe/+1dYLFulkupyHxgLFN361bZzKeN6vpWYax4/BTYtOjmHA4XLVPMhCijPrJM0XbLvkCbcyEGfRgGGwvnSxg9ZQlxPhxpjTkudHPrl3DOm014hT2xvqpZD9Rv4/9kIzDubJ7WxsS/0WvAWEzGwrX+5t27MJf+lw+hpuDB3Xv0ccaMl4fniUsu92t0cb+8/nw+X8WxUa8n/S+O0cqqH9pJfUbWBT77ab/D1TFlMZlPyY6pXqOWnKwd9rd5CtcNDTB6a7waYD2XyzDes+60+0gZ+9u3N3Zc9BGuA1poxnA/X58rgqv4PDKdaIjd3DCul+37PI6rjbKD1EefF+F6sX71DuBkzo0z0x6ffhERkZeXBxEReX190t8yp6WZQqzto6eJZirY+BGz22A8YRRjNor2FV0TXMIrhP1cX9/JoUnXcITNO+gANztjGJkHG3ueUEb9Lr3v79Tx+Pv7cN9/VIaR9zik7kf6bOoyPm1D//3xMbT5q64HX77oeLVO51jC+2wcdgdbl6xVx+11kKerMfx6ZKYxR44cOXLkyJEjR44cOXKcjG+u01jPamO4QEFBBwxhGuUjU7tnviCXWTUr6pYEAsQ2QDKplQMbYAi1PhXPV3ORn8M+QN+iVip18TKXNUUoq5mrbaWI0ky1bX3XTeoGwjj2DuEri8sgIjIMhjZGDSlshbIXI2aI3H4YhehkGt7fvwtMIuzJahXQjzdaM+n7//Z9eP2X8Pr+bwEVrWeV1VEC7aReEMwj+hqO81SdP++OJsMgB3QpRfob76LLNTp3lEUhs7qWg2MJYAdgOECkdutdZBDdZ1E/GPPKRUTWjwHp+fw51JLabgNqZBpc9EyHrazXj/qdgHSDzL15Exjit28DQ/z15/8uIiIf1JEORPpVEVhz+DLHszay+POUfTImhvv5Ujo7DdpptUqPx7NPQ99P3FBLVwvNGD1l8rxTmCGZ6Cpm8bVydTO9K5o59qJfblLW0/rBPtWGlXUpM4dgem0SY1HfXUi7IYMM/SD1PDoQisR2HDboDsO320MjXZm2/0a1HOhkB6dbMx1bl+pC6IsLc5Cdm65r7urfeZ0d+0C7sduEa7JVtDTWil3ZdiIbAqMRzgnkF23VpcaQuqrku7s7eVU99N657YH+EvPFzFj1melbouOnSGxDrg/txnj+3fvAoMMwfnenzOP1tczVDXqrDOOjMotf16km6WkW/s/13BvyfNyJsawqqepUc25tYE7EKaN8iWD88OymzT/99BhpV59BFB3TldFWpubpa9ASMQ8wjjBmHvaNjTWMIzCNMIzMi7AFsAc1bKz9LvRP6gS240wFHbO5NsbC1akG7NxRlqUsr5eTe2nhMha60b1vjsw6jlPrkj788iUwNV9VV7pxuqzXR3VT1WsAw/f69dXmWK7Dlx/DNn7+/34SEZGHh3+IiMh+rzVFh9Rnwet7OajZYj7pqxNnTzfunTuKopC6mklV4jZKfVfvtTGu+5zOTb5fkL0z0bzC6prHhbL2uv4+dFtj+Q6Hve4PR9NUe2qZE5rhx3qb9XjTPOsr7FhpGtOZc0f1Ds1VdZnxo6pqeXP/nWx3YX3FHMf8Y6wzTqmvW1sXsA42Tb/2b377+EtYu7E+JrPDGHYdY550PHh4fZVSP7tWV+Snbfjs08+B5f38Q3jlGBgX0LLaesZ5fjT7xpyifV1NywgojzPavxWZacyRI0eOHDly5MiRI0eOHCfjDz3OW01ARZ/mTwE9iHXXFHWs5zKbp3XWesvNT+szRiZRUUN0cbovXLtuFLFuD639/fBDRP/CNlNE2VgJ9okjH7ooGLtRDZmmSdHLWN8trc10idpfw6BsR4FuUtkSWNY61QosVgtDpi23uU0dytBd4FQG0k1u/937gFSDyoNobF+3pu8gtxs3Jtw3qVOzGsK2PMvTOje+8fX5La0iaOOlaqyJBOQXA7va2FxF3/VccBo87A6xJuI21TsSnBLXZKfbBIF7egq1wbbbF30N7bvbrY1ppH/BNIKEgwii6VjDpigzH2vWxesnEpAn7ktfj9BrGUG3zx2DDKa1GAdomblx4hR4aIwtAHX1ujTTw+i9D3r98hTacf0aXqkZRVu/Pr3K1a1z7dP77OqOmoFaE1CROo80oodim0RZ1qbzY7yYteG9aUxx592n2rBzR+nGisYcfpUlH42Z9AOvMTJN2wwXQR37dB82ltykzDX/J3tEJI7/6HNaWF5FRX1dUnTSHKfp50fOrCkCP63TeGmNblkUcjWfm3YFzeDnPiDtvq5gPZ8ZGwjSvFPNFnMTjJbVAnMu0q0yKC+KTMNeNW0rlf79oszn5xdleJRpfFqH44P5YV6EOWMOnmT5jFw+zeXWsX2R0T4/gz70faJBMq2Z016SEdB3/YQRZTyNTKPeh42bs1Qj1rnfm/ZxOY+sjfbVT//xSUTimMv6hPb7UefWm7f6/xl6VmWJYOhWi9G852vmhX3B7tzevjnWVH86yqqUq7urkZY8HaN99kXf9XKojmddobN/fQzj5PMnNHI6x2qmxnpNBk7YTqVrrkJK0/Az/nNf8F1j1vQ3MMbm2r9M66FOmMfR35P1o3OoPHcURSnzxVIWC11PK3tcjeoyiqSZOL5eM/0Fl1jWq3EfysJTD7Eg4waPEcbQWu5u3+m2UsfVua7lYSKjmyo1FvEvSbPyknazmo5xf37/IjFD8dxRlqUsltcyaH1Z1gusbelf0VW1jxUFrK51mxzzg7KBMI0//N8/iMg0k4vnjbXeB59/eLD5zZjDOdmSjK+6JtF1Os9cjFuLVerLwCTT7A7RJ8AyoPSaa1v4ffzeyExjjhw5cuTIkSNHjhw5cuQ4Gd9EKeDqaa6YK5iu8EQdtYXh/8urlaFpxty0KSrhc5lBEkGleFoGxeZJe3WzMuTFcuKVEcNpy9c6NEYI5k6RAEO01LlvvlpITH0HfULPp/qvWVrn5awxDEGr06VugL62F6ju4mphCAXHA9pJe4J2vPtL0MKAxhvipr/DISq6cO5N00SONMdj9RdxRjRHS0UwHEqLTgn0dOgH+zvq2GA1quT1Ui6Tfd/Ly24rG+0zgC6wJCCptOd+uzd2aL9J8+BhA2baHiBRsLxV9b+IiMitInmvr1/1NSBUu92r6Tlg4EFQcbn9+PHvIiLy3X8N2tMbrdMGY2zOWEde0aTOyWnXNkWbCpr1rW5avzeKopS6nkuhDDr6ZssqcHX/xvcWCDcsKRob2h6U78vPAe3/8iVoXbzekDqxTbM3pNS7Ex92oU1hXHDmi99Psw1gKUD/ZrN5ZDLQEfCKdg2Xtv1lNNHDEMY7sgAq52QMUz1m/xkDzFXX1eSzWlCupmrFmE6GyTJl+sqqsHvlBZ2f6f5O9FdqYdn4lLKdYy2HaX9g6eyztF7epeqs9cMg6/1elorav7tRLZsyfdthzxdFJIxlMIxbvf5cD1hsNGxo8TjvtX7viwLL/2m17PQc295YGTI+LBxTwjZpW6vdptcAtnx2FffBb1qn24za4z75/JzRd71sX7d2nenbplekX47YfHOM1vEDV/BqFsZgxhXTp2t/tHWHjonUGqT2mkjU27LuoL3R2z1rjUfPfL/5LmwLB1wbI3D9ndc23xm7cSDrSL0K1JPg3T+9//VG+4NRVqXcvr2xsQDWxO4/W5OUdsyx3dNsgecvrCnCGA3bhQaOerk4he/xFzDX3pldx5WytRwPbWnji64bH78EB1Bz6EaTaYxjZJQ8I1O7TJvCZR+dO8qykqureztW6mJ7vZox/WURWUerNa5Onromm1nWTprt5dcqlWnEw6aXNyup6nfJ/i1TBNdP7eePv6jDp65fzNlX9wmrz1pmGHrTXKLftFrv1FXucZW+VF3uUhaLq6SWvMh0vIq1fk+vOxmjX7WGYsxGJHsh9Mmnp7AmYb338hLGh/X6ydZ7PP+8eRPWdX/72/8qIiJv3/4lOR6eubyPABlEpu8ui4lWF8a0Yaxu0tqUvzcy05gjR44cOXLkyJEjR44cOU7GNzONzb6JtZgUAcHpFIQSRKSe14Zk8JTr9R1816OcBGyV6chMd1HZZ10z1UmNY6pxTJ0L+yrVZZRlYccFEjIMes6zFG3yiMVZoiikKAo7Z/LVQQ7IuwZ1mC1mEWlW9ADUE7QPhLRwDmdEdJ2klosi4M9b2wbtZdq3GqaK2k3UZ6qTffM7mIy9sp9lVRr4be3tmISZR9nOHIeuk398fZQeRA62qEqZcKvTuD3EGoh6fcwlUpHvuk5dQUEu3/01IHh9+3fddjiGsYbPtCse+arStsZpz2tZ2RcIOXqbtmknTqIz56Lq6xaeO8qylNXq1pzb6hlMVKprhjGoZ9UEbaVtzeVM+xL6rOdndRvbhfewf6b1VDTwcNiOGEbc6tTJkhpRB82O0OM9VX+K35kW8LAzVrJucfTU+qloS3DM3V4GvR76XppDI8tOUWtFlj1jML7WY53g+DMbm40VTDM5uL8LVyexH9WRZSxDw2G1TnF261KmyusUfYCsFmUpPXoY59pcOobAu5ieK7q+l6/rtTng3ahTOO/RK6KjGfpBDm2qOabGZWPo9To9F6chhNVBZ7tWF8D149o0M61l6WhNOh0z0NShuWOM9Vk/xHje4Trtt8rCU2tP/2/6nwuwusMwyH67j7XNlHWK7suF/4ENrsx/tcvSMVfaVtcwu7R2oGWPOK3TbF5bu3ItfN1q7pNYH82zstSbTLN+iqoUcj0amxtYC4R93L8Nc8nHf/54sr3+TFR1JXfv7+K469Ye9Duyj4qisEwD5rODq7GKnt3f2/RH0x47jVU1qyfMIsdlDKOO/8yTzCFxTEt1XeOxbXCeEfR+c4Hvj69NzxWhduB9dCE1N/PUiXiceRMdjdHBav+2cT18j/vQ1iI6f5K5Z/XQi7hmj3Vtde1Vp/PBDgds7nnNuKH2afQ2UYZ95PDL/5j7vd6PmHWX0aEHB9e5vP9LcJ03/TYZTLfps0x7aK2vcT0aqyne2TZF4nkz99Mev/zy7yIi8vAQtI4wjofDLnq6UL9etaYfPvxBG2a+AAAgAElEQVQt7HNG9lqaMUQ2D32X9X50yJ9N6kz39H39/344rtv+rfjGh8YwKfRWcFgXIog0N3GBKuIMT5yxTefsaE+VaWAhwue7crrNY6LmY/+PJSv0c7e4SX5nD400PA+ULDC5kc+/ECkkDAZmQ68259z4nPd8PKEdKe4pMrWJZpD19vkHlx7WOsMMkTioM1mzCOFGmxSP12CbnUvR6yUObt58Jd6os6OfnysObSv//vBgqWU8LNY8WLnyE+M+Zul4Jl5Oz9s/wGHJbos2ikFfxYdu7PptMamvpAjTJyr/UHvqYVP78Xw5H00w4TrawyL2/y5l+dxRlKE4OA9bfkHmz6nv4zX3C0MeFp80BQzjG2zCi4JrQaqIs6yvKrP/jsWKXVqulbpJ73WbYHUCJMYPk6SmMJGQcmTnphNuKZcpuQHAZ4WIXRoj9/JWUxmHYbDveNAgpsBgBIC9+/HU8Tj2xNTKOBaH70TgzlnGc98ZAKPXBCCyTvtBsPo//mBp58G+TswxfzaGYZB+6M2A5krvo6Vrz67HZKWVvk8Nq06Nw378pp0Yx0lXJT37+fHLJI16uQnjTRx/9boAlryJKYYiIrNFmuI2GwEOvesLgzeZ6+jf5+/XfT/YeYuIpeFS2kIcyDH+HwDnMMRFVXgfvubb2Zf0YRxlrAxp0SohuKHMlST7ZyGHrT/X1qeeEuMSCxxO476zXIRzffdP4aGRtNlzR1mVsrq9igZr3ONW4iEtDdPMapmdMJJhnVKW98lvWKjf8tCIoZbu81ZBjcX1MpqKKFDOQyFymmgAl7bXuL+Mj20MjBhAYOnsdfJbL0c5d5RlKcvFtYG53sCLuc8MBUcAMOEN4hijAXHo77Tfla492MdstLb0MihbK+ouWScga+GBlYckL9nigagoSnuAtAdKPdfC+v7RJjpblGUhi6uFrV05/1u3JgMU2a13USJVp8Ad5oTedGihacYRTNZ7Rc/5SSVH2+3rpEzQzJkN7XeUTlM5nCPRSFNlzuU6r26WUi3T9YmRbGYuWCavvzdyemqOHDly5MiRI0eOHDly5DgZ38Y09r3stwdDGsqblLng1Wzl2y6aK2iAEGOBb6iUo8lBtioT/KqV7Ejw6et/etMdUGzbN6ltJ4paguR0I0TaM1xgCqCCTXN+aGSQgAp0LakymhY6KDPiUiz0S+lx1iliX7g0YFJEY+pomh7WmPB+mCD50TwnPW5DLE6UPKFdzdSiPJ0KST+JaaqXYRrbtpPPD49yrWzp/dWVHlvYPylIxnzs6glLS1gKNgZNzhab+4PyJh/uY0FukZDO1mnbfn0NKWY/PQUmzaPoIEvNPuwDFNsXgQW9XN2srE+A7mEqtXDi+d9K9/6jURSaclqnqU4cI2xAOcQMApA0n47KeX79JYjKHx+D8QFpqTAfmNTEY1DWp+tk6GG3sP3mNR0XsG0vXWbDpJh4H5iPru1MDF9I2r/9bwqHUp4ryAohhYb+Qh80VhW5gKRmKiKxDxnSTrp5e5xF2rSBUcEYZFxigrbjnohF08N34nivTD99dQUSnUoirFTCrpHB3MZTU63ILqXsyCWi6wfZa59juFzOSE1Os0DKvhyZhqXHyj0aU7U1gwDTAr0WMIykou60YHTXNSPkW+8rN1H2Vu4FU6LUeMMzjERZljIUaUpyM0rbFxkxFhcwLuvaTp4fnifzX+XGj4Q9dKmgNv8pawRb2bhyXdyfZNVcv0mzRK7vrm1/C5fePxgbQAr6PtmnMTGnsnyaLjKMfZq9s1KTJQx9OJ5LxDAMdl/6ckjLK2WxdQ5pDq19t6w1ldalAlduLue3MMW0MSzQGzUKqqsqZnfoOLBrUmMgb8REFhAGU1x/GyNG3dPO0TF8ca0UrhvZP+eOoiikqmexVJ0zEoslb44bDIZjDa9khjHW8VvOCSkZ6xqfbRS2lbbllm26uYR7PxogYQ6Zrh+YV4NBnKaFzznH4/Ku2q3dzxZFMIihXTD/IxOIdhz3VW+MxLhJyTTGW4x/VvfL5PuYGVIO5eP+v4hIaC/W9rQ1rCxmibdv7/T4UikP463PHrHv1XGdZfKMIU29pz9Vs29bg2SmMUeOHDly5MiRI0eOHDlynIxvom+6tpPnL0/25A3KBQoFKmxsxzj32omNQTHnrkyBIZiKuoHC2f8V5SjralIclzjFCHidDEYBiN8PI+tZj4qZyBtRNMzH4fyW+WgaCWtDdz6+mLFIRG5i0c/wf2MPXC60R99Nv4QOsWmNCQI9xnTB53obImNMb8oqgIKVIzTdo1qGCLpi0aCP546u7eT583NEahSdWegrhd5BnJtdE9vUtR39aYaxC0ir3hfoT/7b96F8xn95H+zSv7sLaNJiNpNG2+zrOjAIN0vVAKB30PvlUQskf/05iKqjNi0cC0jazSwWsIc1p29wTl6MfpEyMsSYWS5SNtmOc3Sv7VUbOCiqydhCH4xlS8Irtt+gf9i6Y2d+dXVr/6eY8vLqWl8xi1I2siHzIG0PY+Nhd1VDZkjr0MdyFHobe71k72zezx3DMEhzaA0VLSwJYIq0i4RzZGwz0xra+pG2RjeqJltazmS3DX31oKwu12CMnkYtOEyiGpAoCnt/Hww9bu7CPcKYYgWudWhpTdtBmYJewD4L158YtyIKf5nyJm3fyxfNDBCJBjgL01/qfETGxTCMCnanRk/L63SMh92YmA45VhXkvqreTdBrb6LTmDYqRanNdwDzqVnKcHRdZ/OxGRltYSvJbFBG+AJle/qul/XjOtrOm5FMaLubN+HePqZpbJWZ2jyFPksZnacvjBvhc8aL1XV4JSsEzdMHLXFx8/ZWVppx9eE27Pf9jTIKev3RuMJAP23Cvh834X76ug7vX3Qs+/LTFz22g/UVM0BzJYY4Hhijc0ff9bJb72yOmKnWy1gvvT/H2nvTBhapARzBmo/55/peWVzKRqk21Ixg9P6ZV5W06Mi4hxhfnU6fNanXBLOu8SUUyrJMNLvjbfk+TgbFuWMYBunaJrJEIyNJkWnJo3pWRb2/+mXBTB+0XAlGM/QPmOm7D6E/o1VdjJgpkXAfM+6bmSKvlAPS92bCtQ6MG/MBUblswmBCE8vEiUSWXty6z2dxnSuKIszFkRU/rlccR+WMgLoOljstH0jf+/5fQtkM1qyMn8zFzaj8iddO+2wEbyzm+yB9BY0qr/PlPJb3ws/JtSlZLt+axZeZxhw5cuTIkSNHjhw5cuTIcTK+jWnsWnl8/Nnckt42IUe3Vkckn4PdblpD9ECfQZgNidcnfQoygxyZDsBeA6qBK2FRFNG9EGTRo66ufEPUK6iWQBGkrSJ+IAhlWUtZppa/Xn8VHaXO78hXlIUsVgs5bMMxwGY2TnOZaI/03ECOQO0MyWhS9MjCaSHNGbGKhV1BdkHiPGJopTSsbEfYB5bb5uRlefaxsGzbpFoTkBO0SyvTlFxGu9G3nbx8ebH9w+TVilp7BLNtWtlvVG8E26H59xR79hEZb9FXRb8VqXrahv73/GVnaPSXtaLPymA8q0scDOPDD5/D/x+ek315neKYlebc7Dvo24xROG65f74IpWTsmBy7TDsWpWpeZ5WU+1TLTDYA4wroJmU8QP0ofn19fZ+8wmTNl/ORPXVaesRrnc1tsk71BLS9102WRRl1v3LCURi250KOnjIM0ndd1CGeQG7L0XjrtVWwCOt16HNPT0E3+tNP/yoiIp8//2fyuUiqMSPqambFmmFy7u4CY/P2bUBluT6G5jr9TLT8D9v07G84x5SFI0B4T92ffzb2h0b+53/8KDu1cSeDIGq/Xf8uhuhEiGOj0zJa+Qbndkvmw17Ho8P3YQ5uRi6spll07HwsifX/t/elzXEcSZaeZ91VOAmQ4CFxJLXU5+zYtPWa7cf9srb/d//C2H7ZNpuZbrUkSuJNkARQqAN1ZeWxH9yfR0YU0C2KBZmtbbwvRQKFqszISI9If/6e222XwEagBYda7msjdKlAyEvDPjjOkmadQWuIW4ghVUXFOqdc3UdtZ1N1RFXWItB1BPMIGsaribguS6NtAJoijPfe8S4RER2c8LVVxqbV0qqUNvYbcFOV7+w1pbG8/B7s2MUVx/LTER/Di5hjOXSqURzpPqPRshusYy3ePd6zfr5tlGVJ88lcGU0gdJzbtd1WFBpn1dxmuk1rAv4MzO2JtMmAM7jrCAqtY3vQNnsNrWISvR2YTpmX+DmqmuA+7sbZRhstFiqj+4MzrhO/MGdGZyO6DZRlQfPFhBpNu3UZxtpt0l7XlLttXrSNlbpN29rpjTVe/o/7eXFlWqytnHsdbYC0+gH7utzWypn9DvbImZ4X1mf1VZDroNdejgf39m0gCDb10ADW6et0o+oWLhpNt4oJ9wJixNGnvLYdH/N60BZn1BDPIVVFc3F7vxzJvYAxllY271/wmnsp7tjY++P+azgt2LBPjaJI74lKXd/JOmetILnBo+AmeKbRw8PDw8PDw8PDw8PD40Z8ENOY52u6vHynWqDdCWfhkDVAFgxZumyZKXs3Ez2MMmLLtvXZ+AzUXPcPr8881+uC3fpjN3vgOk2iES0yzss5+idJlkpYwzhuaD12ih6PYCUk27CouTBuG2EUUnvQ1nNFnbrqPKHrhONgHCprgxptZCDcfj3w/4JOCSwrgGaiYKPCKDD6AGgoHcc89+f4Lq0XR3bSmSdREhlH1cI+frCZyILD3XTbKIqSri6nVtNmolpfO3lFj8X1cr3hBGl6Xzr9uUQ/8/oJN3X9/s8/EBHRv7XsDD7q+a/GM70uyIArk7biKxcok8YZpZ0d1kfun3A2K3W0wnqeeVnTLNkuwnofhT+vxv1D4TL9eUf0RA5zHYSh3nf4G9c5Eb2P0HMRFQ3QF0LfBc2S6uyS2DQ4Tm12AT9XHXNhM6LItIKZS6c8R+N4pt+lPR3J7oGJe1bZoMXtZFSrsqJskWkWMWmAReTxSZ0eTsW6oFUJTSJ6fsr9LDEcTrDNpjhJdjn+t1viGlfTixIZ1iaOUxMDkJWVz4DGpdm0G3y7TJtxb5SKBB3HUhlgndfOGMMp+rb6rK3mS3ry5ye0/o3MB2ixnJ6SQFlW5jzwHvmd20gb94SrT3R1t0BVVnr9cH+BKUEDdKwf6EmGhunaXB3Hqf0chdlb57U1SCqIREuFewVsk+szsA2UZUmr1cqwIwu7eka1cuLCGUYRRTF0rra+Kl/bccJ1mMXYnf74loiIpqIlwhiljaTWEN2OH1grdo/4/jjZ49dd0TwaZhLOxXDQNX1/3aoHMDJgFO7e57ifur1lt4SqrChbZjpXcO9olVHb1iWmjYQWU46LN7F/szGai/P5Qp+FpueLBVyXxbkcMaHRpmYLLLjt/qz7mgXHXpf1cWHYFaMpxx4D/VVX8GCQuT4S34DR8P1Nw/VRqKqKsmyplVhuVYj2L26YqiHED1SWlV3xZHD0vlg/UXUAVjdfm/MnMhV9y9lyoy+lVmrMROMpVT2BRK1iwy3V7v+HtTeKEmU6U/SGTu313XUx3jaqitc3fH57YPs6YJ2u95WPYpuJbrZ5vixl64yfwxvl7NWZ/J7nP+Y5WEDTUzS3xr3+CldsVDPhemqvbZnf+3f3rfMAO79eZRvMfe4w/qrr/MCqEM80enh4eHh4eHh4eHh4eNyID9Q0rml0+Vaz+/vnd4nIZL/wxI3MzfJqYTIZGTSJ8kS95CdpMCnIGiJzdPiA3fTaorPAU/N6JfqAvNjoqwiGAtkCMEFGBwUNI3/3WuqJ1+r2hyfxUP8NgGFE5gZaidvQf0VJTLtHu6YnlzCkOCZkd3PJ0mSLTDOjLlujY+Bkj1xNh5txbU553OM4Ma5dkTjdojY7tjNKeIVLrauBRFap7tZp2Eo+d2SEod3B3Drs3457ap6t6ezlGSWiFcT8Q/YY2SF1+2o3NpwnU6fHKBjt0YjZ9cmIM5W4fu4r3Chns7G5H4RZxP2C64L+PWBq4IK2d5d/juw2gGOpqmJDv6o9OpHhzKEJ2xynbaAsWCeDc1TnxxnPh+4uX2Nk+aiqNuaOMtDSX6m/zyzJ/uiEiIy+Do6mOGdooYfnzBxMLhNKGzw/4Z6KLF3isFqIM2C9wAgYPVdhvz83Lp2Bo0tR92XHLW3bKMuSZpO5cRfU6g8+jlbXrtKoqkrd8UhZMGE5ZK4hi39455H9PsmEIwOL8UMGMwiCDb0Lzlt7mzp9OF13WcRbF0EQGIfVxK5s0D55qrG+HffUxdWCvv63v+j3gPm8e5fXsCiw3bzzdU5pZWv7UW2wcpidyKnWCBJ7PDCf4J68znIdu8ypTAFwL2F8Lk55DYCeB2wOYl/9mula6lSfaKYe8/wWzA/LsqD5fKw+Arq2CfMxPpdMvrJzDdMjMDb9avmzWKMIdhz3rDKRssaCncUrmIE8X1GW2fduInqydlf6DN5hvem+OK5C64SqkKMjfl1kdsVOnMZ6nJjT0BbeecAM4/1djvPT5e3odIu8oOnFROMWri9Y3AT7hK7d547IsCWTIcdis6bxK/rbjcfMyEAbPZlcEJFhplBN02p1zXrX5jHc2zsmIqJBX+4xqWrAd8znzNBg3cQ1QUyrM6ZdiVuxVPFcFXxdoTE9e3lmHd+2UVUVlWVR2xegr3WuvyequUOn8cY8xXpCcqtjT4trUY8PRPXeiuKovMb+3MQK43htb3jUk4BQiSDVTbI+oP9xUdoxPI5j3Ve5uml0RSidfeu2EUYhtXttanZsV35XU47fr+YrHUMcE+7r1dxmtaGjPf3xlIiIXn/H83otzs2Ym9iLlGWplVCAxhCZ5zuHoqm+z/EKfTbbsleB5jpyHHazZWX1pCaqacCd/d2HOtV6ptHDw8PDw8PDw8PDw8PjRnwQ01iWBV3NxhTF/CQ9PH9HROZpF9kxwzDVdDPyRA1WxbzCBZGzhWC+3r9mRqDVseuAtXdaUW5k+KuaJrH+N8ie6BO+sGqoxXZrf6uqVE2SAvoD6CaR1Q62rymI44h27+xoputSMsFZhvOVQ1JtnXG1Q007nEvhHgY3JrAjyA5BS1R3pSUiPf/1ujQutQKMlzp2OQ6AgLIGha3HAfJ1vuGShQwg+mPdEz3I0WBAt4GyrGg+XVAmTCPOrelketXNtWu0EsrEiN4EWW2XYYVO1+0Hhf9jHKM41PFXB1q5XvqdkkWHHmnvLvqGdeU4+VrMRV+Ca7BarDac5zQDJVnHEhm1W3L0LMuCFourjftNXTsla1rXY2oGEFpdGeMw4jHF/Lkac/XAfMyZwytxm4XWBRom6JYrqmr9FuGGajPA0Njg3kDmG1lvsPNun8b6+amuDz1l5RyRRZ5PFnQbKEXTqD2m0DvUySoqKxiGtM7tuabsXsnZTe3D1kClAPR1kr0HGyzZ47ouRR2f0WexYVdqbOjTHe0esrgYWmV9o0jZVFfLDl0IHOnAum8bWbag5y/+qowrYpfpveg4WWf5Bstv3Aul6kDmMzSp0EW6WiSMK+J8tsxqbtUyn/NNVploM7bhXkP1AvRHiIWrxUrjiVsh4vYzvg33wyAIKIoS1VLFct3XchBzuc51vW7iMKDdXbsnYOno0NW5Em6T6kopGjq5XvlqbdZh9BS9IVYBWM9VQ+TEQdwbaSvV48VnwC31y3v3iIho0OJrMr+FPtFEPM+G74Y6H9VzQuZ2mjprVxIpg+FW3qi+Wxh36Jihx+90mLnBnlA11Pr+VDXrqLQ5POLKEvQ+drW/0JFhTkROn+P6XrUpPg74W1ynt8IYvX37jD9zevmPhu1nox7/MA/ULb/AvhZVbrH+2+2p61YVID5AZwoG1t3vmWtV1rxBRAdMavtOREQNYRTB7gbYA6OqB6y99uQV9q7Z0ViIfWpcq5Yjqukol/ZatC0ExHENew7EKe1ZLYwdeq1m+z1dNzCW0Czruci9sZpv9rzkV9nXzO19dJTEOg4bHh4Sg3HfozoB39mUNbgp9+FSvmMs+56yqDb2e6bvp+0L4ZlGDw8PDw8PDw8PDw8Pj63hg5jGqiopyxY0n3G2YjjkTMzkgrNf2jsIDmOtVHuaICuh2sQ1skrIziPLn1u/n8+n1jHU3RHdWm/UYCND4jqiudlsZLRwDG6GhchkGjUj4zKO8fVam49BFEfUPxzQQDLlpz/wOJOTVUTGsp5Z1Z4rztig5jnVPo7IFnGtNDL7ypLU9ErQKCJjZL7fHgu9tuqiajNWrhPuarFShynXYVWZxt3bZRqpqqgoCnX3zZ/yGCdOtnRP5naUxJpZhg4J2SKw0XDbUiczyfS0JUO1kamS99UZNmTc8IoMIlgE/C3GqSu9U2fitFupltFkkfC3bn8zZPXw3o1enttCVVGRr7WXFL5Pe/It0MvVuLu6DoXIkpksms2mgB2BPtKwPOghVujnGIdCW6OoejKJA4gPACoXTCzC+Jk+gciSoxKhdLSMYIbAgm0dVUV5nlOOQ0f86tiChnrlhM7rmraqDmS1wczmmXPf4xo5DnhhFBrdc2xrLDEX3eoFNxO9dhj3QM4rTmLTZ1TiEe6VkfS2Gsvrbc3rPF/T2dlLrcjY/46zwugtC30+Mr55tt5wwMb80Pt1Q49ir13u+3Ev8+9sjTKAsVfGQuO6VM1At49MeQ7Hclkn14VmzaGZV0ds0bTlMuGu63P2sQiCkNK0QWnD7i8bLcEU2W7paStVrRQYR3hwu+91qysw/4ym1tbwNdoN05caPgfQX6PXb2KzQUZTBMdKuxIHxxBFESUSm8A4PDzkdfruDq+DeXF9T9JtoSjWNBq9p6srOSeZK9CAaQ9P7EFaqVYgIK72pNdx7OyRDMNtu1Kq67HDrjdaDY3/8DpA/2Z1FpXQhTVE+59GphqLv9veByWNhHK5xyZzjsnnr7hv5vOvXxAR0fv3/LqY2z2Rt4dqs7KNavPCqS5Iopii1Gaz1fVTmGF1/laPBj7vfir7GPTqQwUKKgXCsBbnZT0UvxFUA0LLqEcPjXEJXwzswxFfUNXW1rnRcNxTsabAcd519d8WKuJ7X/dVMl/A3IFhTGX8ep02TeUeXKpm3d4v4L7F3NyFztCpvDPPDCF+YKo8nHvC1X6qW7Hs8/pSaZDARbiUXqfXaEITvXfgam7vSayK0J8AzzR6eHh4eHh4eHh4eHh43IgPZBoryvOMZnPWf43HnJEZXbDm7mjOjlZgP5qdJjXkyRjOm8hC5Lmd1Q6c51dk6pGlSFNHF5Jntd5rrtMp9DLQIdjsZSF/l0PbKP9Xp8M41TptZYHA5oHh0Cf67Ws3wiikTr9jXGklyzCfXtnv0543qWb+3Ew1jrvLsoENvYq+D/39WtCMmR4ubjYT2WZkacuiqn/URubCZXjrdfjq+uroAft9ztLvdaSXWPt2+jQCcLaaTHhOYy4gI4asUWfQ0czNhs4KPbNSZP+l1yU0X67WA5n8pamvLxyNAjQlyMQBqnNI7Z6LpreSnQUr85LWhc3WNApbc6M9r65uh5GpqKJ1ninTCGYGcxbaAXXZbTU2mJTQyd6R4+KIY8ecU/fJyL4GcRIZpsDRnkH3BOA6gRWEPlh70uVgHiUeFTml0ssW8wjzHPfd+Jyz1pfn59cP1sciCCiOY9MHquAssas3wjxJGon+LnOYQtzXYE7WDkNsvtKtwjBaXWWF4Kgqr9CSGHassH7vVpPg7yncZFhQZXElrsXvX3BftdG70bVDtC3k+ZqGw1M9xtdPHxAR0f49Zofa4vQLZKs1BcI0uzpv3M9w8kVcRIzAOLkxGYx7s9syPY0zwxDW/+amrDYy4GDeTT8x05tR54b8Dm6aWKugnfpQncxPQRAElCRNZftQLYPvVJ1oaVyPl6gaSExMsd4LDTv6Gsu5Yh4aZ17ogeRzGon+G/c0rhXGQu8Xx3EWsR33Jpg19UmIAj2eTpfvj7s7vICnsrfJxeEzvCWmkZ1qJ+pMC2hli7DozZpuU/sOC9BLztUnu9p+fCZiAeYh7ucoDje0pdhjgAHF9TJO86hEsRl5zBntFR1FWp0zOuM48eLr50RE9OzZX4iI6P17/j/2k9sGu6eWuudtOHsw7DOwb6qqBjVa18cNtzLD3ZvUXeCJzD2uVT95rZrA0dxCi4oKHFTWoPLG3eehygbrfHe3p/EC/T1xfdA/cjbhysLc2atsC1VV0TpbU6viuQdt82FP9tqoDpD40GmUumeGA607PlpFg/2fM25urF7XqmvQ21SvLfrxRrbbM/YkpbjkQ88NF2M4MNfdcSNHW626TZn72ke1/LCqEM80enh4eHh4eHh4eHh4eNyID2IaidhJCTrD6ZT71gyH7HR6dfmQiEw/olavpU+3jUvp7zPnJ3tkJ5CtQJ20ZkMlq4PsRrPJn6O122GwoRWo91kk4l5KRDV3wxz9UvjpHjXYYAhS6T9IVUVpKjXOTsYXvbi03nu1/drrMAyp22puuNHClUp7nNV0DVGtJxqRyepphtX9Drf/l5u5rzkvga3CeCMzCrbLMGniHhXZuYi6loeINPubr3P9zAbZPT5bMv7RLfTBrCMIQ2q2mxRKxmYi7r0QSey84fp0k5kLdOyQzVzcwBpEzjioZhB6NkdHUxalYQlWxvWUf4f680SPm2iznxsYrbXTcy8IDJOYORpU48JrX+dtA/2oXO0wYoCrGehF4YauzmWeXGAe50tblwE2AKxK1UqVQnN1Lm7PJnyGyxQgZmn/Meivg4AaDWhubF3TfMp/A4ZxOHxz7Xl8LIIgoDg1TCNcZKOJfa5xrcehagMdBhHAGBpXVclOO268UeVoOUJTrYB7Jo5tfUdY2U6Y+GwwiqEbn2pMlqvFHYrb9LsXPLaI/3C/3TaqqqTVaq5uu3AonA75FVl0XUPmK6MbjW2GALFTGfLMcTdET2KHyCv172LNHCcZX6e1404cORpGXQMchti4vRqtL9ZazBs4R4NBwP3nshTbQML034sAACAASURBVBAElDSSjYoAjKtWbtT6N5eO9g/xU3s71xiWOtxqGowhYn2jZXpA4l7CeOI7Uu33StZ34bOWypBW1nmEYahs6a5U2kBrBf0dXFNPR7fDogdBQGEYqqPpaMSsPRxF0Q94R9xL87yo6bNkLst10DmNnrGOb4E6sgoDoo7KtWuilUjOngjMI9a9m4C5r5VDqoUMaCYM0runvI/98esnfK5vfyQi00+y3z/4u9/xcxEEAUVhZOZNjQUlMnOw3jdYfSSUXbdf1bEeFWNyX5Y191+izX1ftlxv7C/de1l7Okrng+XKdg8HI4t+7q0Or4WdnY4y1FiH0f8UjrVXM57PWD+3jqri8ZM5FjluqXDSzWUcV/la5xp0tACqYdQ5GlWUjmuq62yLXrzr5XqjIgrrAPbBScPWA2P9XMl+YqVOu47mPwoJxCfmvKleaFnf9aH6c880enh4eHh4eHh4eHh4eNyID2IagyCkJG3SSurckYWaSXZgIjqdo0fSf6emy5sOuSZ/seDMArLz0APhidvV5LlZjlj1TjXH0DWcV+E2xU/fs4mdAS+F0UC9dOH0JVO3pyRVp8v2ABpAYS/lu9D/Z7m0dYbbQBQE1Gk01OVIs6Ny3Mh8qfZqf1PrhUyl0V7a4xuWYJkkk+04l9UzsNpjzcnGutkRw1zZ2auqslkG1XgssloPx8D6LGg1VuLGN1ncTj+7OIlo92iXhu95TNG/CCz65Tt+rWe1kUFGhhhj7DpEbroX2vMN81adQMtSr1vh6HNArLlMhDJr0C8Vhf338tnZaq1MmdGgmt5MfLyF9bp9sKsojrHRQBbUdmusaxvBZKh+V7P31/cKRda/cJwf1dVR9U5rnfPIrKqbLVwQ5bMwX5ExXIqz23TCjBZ0sGCaoigh6u/Lv+3rBcZR59flu388bD8DYRhQo91QpnE+l+8dc6zulJLd1/5QTQoTWx/rxl7EmADOnWAcofFwst71voRGV8d/gvtee7ki/jtZz8CpoHBZiyiONjSx0DLC9RBxvd3qXz9YH4kgCKnRaCuTCf296aUoWWEpSlnNl7QS12gMCCpaoNEyWiN+W6nVHvZaB6hrXm4qQ1Rz7rCTOUE/I9cxQR8v+e7Ivn7o+buar7QCwnU/7ArTaDSzNw7X1tBoQa8vvYbl2KBrnk/mG/ojt1eZutdij4D1yKkmUUdJuFhnuf5N6FR9gIXF3Mb9VDiulMqOwVegMnsarbZoSk9fiXPYw7y55J6BL79//Y+G6WchDCPqdHboSlzFZzP2sTg/4+97+xRu4kYfi9gLvZquRXLe2is2dee4zEPED8cxO4pDZRjhPN4Vt95Crw9/lzq4tm3GDXHQrVzJFiu6fMdjCbfU09MfrHNWrWFqa5O3iYqqWs9LU/3Bx25XNAU1zwHsDUtnHFyHdI27zrpY33vwz7OaG3h17Sv27FjvoHtFpwT01Gy1ee+PKoT+ft/cq3JfXpxKteLZe+uzbo1pDAKKk8jojcH6r/kVTCOYx3mW6b8XPfgUwNmaxwx7FNVFw5dCrpdeT9k/YI4W3WLDLRz6SYwTNJdgOeGeCuC43b1mvRIncfZGpVPN86EOzJ5p9PDw8PDw8PDw8PDw8LgRH8Q0JnFKR3ceqXYQWYGp6MBGQ84aLK7uExH3qUK9+mwEvQczjqoDkmyFqwdzRRv6cFzry4YHZNe1D0yK20cN2kWwSfh/symsYpuPtdfbp51DPk7U38/F5QjZHjjHQs+5TURhSINWS53ekClAzTg0pWA+AsmeENXcwpxeXcj2IROF/0MzBG2NMjK5yTbf5ISnGgQnW1sUNjtgWB/pxSNjubxaGEazcLLbchxXSz7H8fx2+vZEcUQ7dwbU32GNRrfLr5jbmKcz0SX1drtGc+Fk+5G1QoZQWRPMz9xmy5CZqrvOaeYvt8cDQKYU2S1kjyqHZa/rkIh4rHHtSZJV7aRtfQZUIdnS7o26LQTi6Am4Lno4Vjiojc7GRk8gmWboBlR3JfO9OYf74fV6zGyJeQbGMaCgsPttGr1WhAMmInNdryZwjWZW+uqKM9RXU37NJK40mx1lm1wNjjrhSWwCS7lthFFInUFHM8votaWVHvJ/XI91lpvMvsPuAcp6q17aZrtdIMtfFuWG1tr0x7PnuXGiw/uFnZBsLbRNONZGu6GffSVrzNkZMwYXF8yK7O1xH+F273Y0jWnaoJOTz1XztH94l4iIBnd2rGMtapo7VKoUToa4kYu7od7Xdux1ezCWDqtb5kUtxtvsLsbUdQCnwGY23P6pylyu1nq/gYnTDHkKTRD/H8zONlFVFWXLTOdOQ2Ig9HXzCY8pmNEwCrW6As6HYMG0ggEMns5Vm5EMe9ffC2EcahxXnbSMG+JYYA/3BgOB9RtzWnvSJtEGIwbA6fPJc2H8RGO4bYRhRJ32gFotZouwDhay97t4w3s97E16ez3dr6jzeNN2UoDmEewJ4qzOM62ssnvTJY3EMPAyRhnuJYnnmBPZUuKrwzCnjl4QLOjkYkJvvmft86unrGFEz2ZUDmB/uLfH9/XZ+cubB+5noCwLWiyu9JjVI8KZA6ikKNaFziXsr929MMbDhbKF4imy1ko/VCOU+m/EB3QjCEiqmpyuBa7PAMart8vHtiNxcOfOjsYYsLvoQf7u3VMiIup0+L29wc61x/+xCMOAmt2WMp3QVL6fcJVkV5j9tqxT/WaTRjOOK7GjAcf+BefU7IgmOeYY0z/g89dqGvRO1Ps8rlU+iJYxRTwVxlyYT7yuMW+l8g77ZMwH7e+9zNRPRqt10Jfbccm/ac90Ez7oobHZ6tKXX/1XPWlYEUMkjUV6cvEpEXGTSwTpXbGK1c1CYdu6ZxnEtxIEZAMWOUYzmLDhdLHRasOlz+dSXoAH06W8IgDi/UlsPzAcnBzQ7hFPWlDLuKEnFxM5V57so8vbeWjc6XRoMOCgFTrGBCsxdlhc8WsQBLoIosTPWLPbi7e7+GlpLx4unb8Pw3BjU1g5jaWNaY4xz6n/Xh8GpHHrXBbw+fxKv6cx4hvu6pKvESyEhzP+/6vh5eZAbQFxI6GjT471QRblexfnPJdRio2kx2q+Q20pJVMDGcdUARt112gCiyQe0lBy0OqZ1hxa0odSUqfMOFQBt73BQ6Po5UzKEXE+etwr3bzoRk++HyXkk3O+X2Bbvm2EYUjNZofiWBrVStkKNheYm3hoHA5PTfmT2+RW/hbtDLAJcA0v8PfYqGETSWVlGiA7m+jlTMrHMpThiKHJFY8PSktheIJXJKM6nYEmoPbvcdzr7vIYX7w+t74TD57bRhiF1Oq1dDOB80bcNYkzaWVUFGaTkGIzbLdt2UDNZKn2XxNjtMTdPBi5saTehJjIGOOoUYH7cCLlOyhTa3WbGlewATg7403dZMLX6eCAk5gH92/HyKLR6NDnn/8r7UkD9ke/+YSIiO48vGMdOzYP5+W5riN4xbq4f4/LmoNdu6k85j3WIzcJqAm7KKIgtJMf+sDuJANQGoUNOTZFWENcY6xsmZk1E83TUeblXMfbaLlRlmw4NAjZfAWJmKNPjojImGnU54OazcgcROxN78sDSRPGYrZRiJYConS0ZZrBE/HYuYkNY3Rjb9hV0iLrHtbDJLUfOlUqEoZ6fceyOcTD4ptLXp+e//UZERG9+Nt2H2CAOInp4N4hJZIMQGKsIjtuvXzCG887D+5SX9YRfejr2InNeqKn/nMthy+vH7+qqkxSHHILJJVlfUNSdzY26x3/LX8GNvQA3n9xekEv/sr72Hfv+DWRhN+9wedEZB4ed3d5nn3zzf++bsh+NoqioOl0SNMpX1vEW01GlLaB3nQ6omy5I8dqN4HHHHIJEkixysreq1z3AOgSOPgdTN2M4STiiFxXKSntdu21D3Gwt9fTGP3uOcsynktbE+ynB/1DIrq9WB1GEXX6HbqSeXL+ihPAarQkD2dxKPKSMKS8xP27kFdp6wLJQAYzGn5tyTVpSwl1c8DjEUeGHCDiBEgqSVs8JCax/UgWOYTYpTzAQra1kMQT1hHsn9NmqvER1xPxEWsNWocV3gjHw8PDw8PDw8PDw8PDY1v4IKax1W3Rb//bHzQDidYVsCZ+9+4ZEREN3/6aiIiOPz3W7NPuHWbxNsokhVksCs4Kw85Xy1ClLQYyJtpgtarU0MZteFzKZ67EqEdLYcW0Zi0/bwiNDsEuShQP7h8o7Z87LNJoyJmJ8ZjZ1ZmwDNtEGIbUbTap32IWBRlhjM0czIcYEBVFQa2+bdiDrLGK0DWTKhkmp52AGUM+hqqCKDvaLB0WgBVAZjFyMtvaLF4yM8iC1Mv8XHtmfa+8fjPjOXZbGdU0Tejk0bGWByDDHH2X6DESmZYF6yyvmSg4DLBkN0PHirlejkBkGkynG6YXlTEdctqUIGOKTCKysWAvYOOMEpahlA9ps+Oi1O8Dw7gn7H9PTH4u33L2GA1nt40wDKnd7en3o2zFNURA5n4yPlezLaDpNCdG2WoPVt6SqZs1+HolTvmHjmdZmVYRYNdhzoKSzhXmopShauUCZ0uNScRIvlvYsHafdg45ltz77ISIDDOG+YWWQ4hr20YQBNwWQDLQrkHCcm5f4zCKNuYrrpMy6tpcmqyfa2mkY/NuHY/DHLqNwPXnzt8i2w5GeSAW/2BuiYjGZxwPLy84ew1zIZRToTz1/hf3N45rG0gbKd3/p0eaUT/5gq85yiZhYjK+5HkTJ7FmusGGzqS0Evc3zrcJ9ia1DWZ07q7tLHfdPr0qr88gm1Jhu2wJn7WSOL2WMk+wMvPxXI3hEPMBt0zqFjpuaGsTsH2IAXf6vFaHA54bY6mYOP3hDU0veW6kDcQLKT9TpprH2bWd1zZTpb0+4udpI6kZB11vKGHKfIWphTGOw15qmaYcw2w822CbYrlWr855vrx7zvuPd6e3sy4maUJ3Ht2hHZnD4zMeW5gdjka8Lp6fv5FjL6gq+D5DWR4qchoyxq6MCMA9XxBKrY1ZGT4b16dRa15OZCppwGDNhWVGmaprKhMIM4M2OG++f0PPnn3NPxP29OSEGcb7D/n18AGzX1oy/L9uHLafhbIsaDYba8WKufZiLCPrNvbbFxevdQ0Cg6plqio3wt+I4STMHwu7FNGUoha1n9nHV1XYo9uvAFrVdbs8R1BVePwpl/OieqKqKmXEnn37HRERvXjJYw8TnXaHP+Pe43t0G0gaCR0/PlazNMyXN46hVOf3UtHUaGhbC5STj9/zeo+Yi3jktunJZN53ZR1twjhOEFCgzLnufaS6Ca11wOxjT3I2GlvHgPGcSszGPmdwMND4CPOuc9kTaguXwr7ffio80+jh4eHh4eHh4eHh4eFxIz5M09hp0ld/+lKfUKHnO3uPmvBnRET06vm3RER08tk9ZRqhQaocnQuezo0xhAg5JUOiDe3l/0FgMtTG6MbOfKBZOFgKvOL9qMHu9zgDsrPDGWJkyPr7feoIc4H6ZWSyhkOuvc4k6+PqKreBMAiomSRaX40WDmAlkEmH4Hg6nGq2Y3ff1nustDEsf7ZhEqVZ8NrO3AH199+UNcZnIZunGVO5tmpCAAt00WBCAzscvqFUbKwjYRyRAXz17Ss+VxFMv/j6+fUH8ZFIooju7gxoT5oo43qD3X3zPdqdGMMJMIxqZBPbWiGw5IGaelxvpgD2JxONalkUOtYwTHEb+8rUVsMiZK/BGIOxuJL6dTBLzXaD+gc8N9ASB0wfrv2VMCGT4fjvjNjPRxCGlDZTbV8CLaWasazsTPzVbEQXQ85kV3KfoTUBxt5oF+0m6aljwuCakRR5oRm4Vc1Gn2jTrAb6amR31YhKKhfwPmhf+v0DOv6U9S+PvnrI36/z6c1PGKmPRxAEFMWRjhP0bJhHYAyAJI1Vg4RJ2HB0XKgCcNs+RBWMsGyNo2romqmymGCoXJbF7dGgphnCuGGu9pR548+7eDOk6ZDPBVpGmFgdHX1CREQPv2CN/Se/fXTdUH00kkZCx58e0/Gnx0RE9OARv+53+VgbMr9PJZ4/7zR0TYJpDyoaMD64V3ePOWsPfTs+Cxnq0I0pZam/gy7cbXCvrZGcljMjyV5jrUM2+/KdMOlpbJqja1shngvIwgNqunMLwH2q7T6aNuP4Xtj9p//xlLLnPCdmc2mfgGbnwmyDDcYwohIgc2JCGNrMVbPT1OqBNALjaLPnaLWiZixO0/bQqf6ZjXkerxYrjWPQIY0P+fhRrXP+irXRmDfbRhhH1N3pKUPX0pYXPA/LJ5V8Px/H+/fPjcYNY9Q1Wn0iM/+wdoViDBc52n/VhoJVLMtahYRt3jFzmEbsObBHjXLo1O2/QywbvR/Spezp+tIm6fNf/56IiL744xdEZOYIvmvbKMuC5vOJtvjAngxjjvYLwPn5K632Q6VWGH1GRJva742KFmcjGEo7EdBHZVno/hlQ3XklY0todyWtqRJhGvscsw5OxBDsZN86lovX5/T6O2b0nj79DyIyRpJ37z4mIqLjB8wwPvzNw2tG6uPRaKb0+MtHeg+++Ibj7/lrqfgQ5hFz8s7JAc0kJiiTKHMM8RHViMOWXf2Ea4HqBsT2uvmNVuU4z0VuGzRtnSVVYNirGdMtvp7Hj5ndbfdbute5OGWj0tdPXstXYX23q7Z+KjzT6OHh4eHh4eHh4eHh4XEjPkzT2GjQ7x5/olk61NW/ePk3IiJ684abor56/YSIiE6+/VxrrffuStZBNBF7x5y9wdP7eo3XzHpF1ni9lsxIaLJ5ykauHTamQksQfgqHLhKZEdj6dnvimioZEmQOO4OOZgnAdI3e206sYB9u0o18DMqqouV6bex2wRZINgE6GJzv+xe/09rsR/c5y73X5XOBtTCsjV39p1qL36BbLMtys/nuDU2/8XuwXtDXaVN0YdTQomU6Heo1QYsCHOfZS86gvjvlTNDlLbjUErE7Vq/Zons7wsz+3q5Tx3zF8VBZaZYSGbTenrhjCTuCrKdm9N0MqrYbsBmbMi+VbcOYIdua66sw807rFGS/ckfbpAz03T3NAEKj0ZIM/flbvh7QP96Wo2dVVbRerWtZUh4XsEfIIicJGhYXNBJWHfd9T7LBYCsx95A10+y+4zarjGQMx9tIM/3qJKeZbVujZNrCyFhLTMJ8xvsQV/b2junBl5wp/d2DB0RENBf3w+920QAeNvu3l7cLgkBjh7ZmKexxqV8LZF9dG/BmF8w5n6e2iyhsNikIJbuv1vnG2a/haFHVxVKbwdsOn7ieqP64t8+MGyzJh1fiqjyd670JjWlPXLA/efRbIiL6/F84C//b+7ejaYySiHaOdtQt8NEB318DaNJlrDMZ68HBgDodnvNgr1HBArb64DnP8z1hGvcPeG7h/Jvy2oLbn4xbXpSqL4TjJhpA6zwWJmEpsWSmFuzSVgq6crnOixn/v98c6JwAO4Y4BXbJZf63iYACiqNkIzb2mjzOR7KO/+ouZ9u/f3xMz//GfgsXF9DeOZouicFgxdZOHEW8BWKJDXESGdfs0m65sdmeg++HdmrHIBA6iPmoQhidjZTtQduCA2FtEOdxPtBT3xYQP3DfYt8GJhl7r9PTH+hU9n/KQEkcUQ1nw9Z04frpeCHewkF8bfwkXJ2963KLaiZcEzA4cSrsZmZX5uD9k+mFelt88eW/EhHRH//nH4mI6A+/5riB++ebb59dP0gfiaoqaZ0tN1z9EaN1n7EjlUFlqRUKWEcaUrF1eI+ZOly3fjWwvgvVMdB7uxUeZZnrNQXC0PYfUeZcvrMnFXtgFjFHoKdH5c7bZ+/ox29Zw4jOC5jngwHHzAdf8nr55f2TzYHaAlpJQr85OdEKjbfPeF+JFjKAVjt9caVML/ZHWnGjFVo8pkPnMwD1/IjhfG9iJeKptjXC3nDtxCnofOXn6HqAeIuxR0Vn2ky1QuTHf+cY+OIJv/Z6PI8O7vOYoxr0p8IzjR4eHh4eHh4eHh4eHh434oPSgY04ps+OjpQBe/0nrpH9/m9cAw6tGhpWP3v2V3W5S5u2exmYPLjhoTbX7d8I1gPNSMsKNb9FTecljV4djaP2lxFnJvSRQSYavdQ0Cy7HlDZTPZ6h1ANDx+TWe6cNzrbQFvuh50VB51OjOQITgz6SOAb0xXz58ht6/eRXRER0IjXND/c58/DghLVVqlM5g7bDdjJTxhGaj5ozIvoEqaMttEsox5YhWSw564f6a80CztCXkc+p7j6ZSDPo8/NX1ntw7aCZgHPsthEEAbXShAZtnhu/OeEMF7RDqE9HRmh8NtZsL7KdHXnPvjCO55LlQ905spvZynYYDJzM6jrLNYuObBayscgsISvtNgV32V/M6YHqGI9oVzKA/T5nzgr5XjjNKWuZ3c5YV2VJ2TKjxQR1+Zyhg1MkXqEnbrf72icTemncAzt7nCXThsIy5i5z7joY5rXeSmvH7Qwsg9t/yjRDRwWDMB1SbYBj2t/nufPwqwf0u1//ExERfXLA7O7ZlOeC21z6tlA53xE7/f7QP1fdlNe5jhXmPMbU7RGKeY++YW4/UmRUY23m3TL6L9Uy2tpTE4OFYWzzMRyLIyYYNuj0xhJTzl6e0XTCawTiObSMn/3hKyIi+uJ3fC0eH975e0P2sxFFEfX3esp0HUtfrm6Dxw9MBVjBg/sHdCT6x+bfeK6jSidJ2A+g3+d5g/VTG6Kf8Dk0HIaxKXE0C3JzHaCplvm8kOPIJJYs5L5HrIETn67FGqfMmqDO6QtU8bi9PYWljm193zYQhCElacNUY8j8w7wF+9prQQvWo/1jHi/04JvIeoK9APTUbYkBYMnRJxfxV9dFOGYX1UY/YlfLrj1j0dPS6cGGMTyT3q0/fPNX/v/ZS+2fh96A88mX/P1yb8FJE3ubbaOqKspzExOgJQfDeK/gWKeM8p+Jnj/nnnvwuICDp7rMQo/ctBlH7e/sNIvX8S3LmisveiHDsRmVElKJhjiH9QCu2XDAlDmDuR6GEX322b8QEdEf/wczjP/9T/+FiEzs/uaUqwCiW5jTjICCMNI+4tMLXivcfpWorhkMDnW/dC79pAcDnudNqVRAPAVLBpZ3ccX/dxl0IMsyXddcZ1Xsq2NZF+F0Chd2uKQiZuFaoRLk2V+e0ekps12o0sHa+eABx+r7wjR+enh47fF9LNIkoU8OD7X/N+YHnlnQz5I4DNPw7VD7wGI+gsFzMZtNrc/CPsE8j0gsEV+WJG2oHlR74sozDMYcbK6rC8Zad7zD47Uv1wCsYRAENDxl5vP5d98TEenYQz+6V/L1Ui+DnwjPNHp4eHh4eHh4eHh4eHjciA9KU0VhSP1Wix4d8BMq+lF9+jn3ZTw95WwpHL1Go/f06qnU0coT8MF9zt4gi4nMHdiFwYIzD5rBlGwV9IkryVCAgSCqZZ8cFhBP8e2WMHWiYewP+BjwtK6196FxkwMzB0c5MKDGMUpYSckEIPOzDayLgk5HY2W7UBu+u8vZpG6Xa5Kha7i8fEuvvuPvf/hr1lLtihtor8lZBIw/mEbXLdWMN8bC/A7joo5bsaM9EA0NmBrUsCNjjayScZ+cyM+vaLXkzwKjGEWimQF7LAwzxnvbKMuSZqsV7XZES9TjcXL754ABDMNAM6dgVJAF2pPPaIvO4FSye5eiGdzQHYJhlH5o69VaWT+wk8ZtGK6fYH0kiy1zQ3tjyvvAJOF+27+3T11he3Bu84X0MZXrtKEx2TLKoqDZ1Ujr8OH0Or202VxkSfv9feMQLDpY3GevX+5bn41MeKvPnwW2THucSmZ1JddxPl1oJlfZBEfXq1UFyjzaGh11jZNs6ckJa2C++OOv6PEdvlfb0h+OpjbrjM/GZ24dVUVlXmiGPY14noSqW7Sz/Ukj2egLBuYX4wOUjo4b44Hrhow8ft7qNlWXAyYRjIUyi8J+73f5dbfD7+/I+I2lr+TpmOMxtCiX70d6fY6P2SX17kOOgQ/FuRZVF3ottowwjqi721OmC46EYAOhZUS/xt2dPh1/wkzjnTvs6PpSfAGwdkKzdPoDZ9xxLeDiPJEKgkNhNXelUoLI3N85Kgnk+8HSzuS+hw5ee9yJZkeZxhxrgtG6Yt3A/YR4g+MDK38bmkaigKIoUQNIZPxfDjk23BXN13Sx0ONFJRP0xqjOgS8A7j9k+ptO1h0MI3oJar/jsrzxPnDnPxgKsGIYX/RN++E/mdZ48uT/EBFfe7C7xjVe7iXZy2A93BEmctso8oLGZ2NlqBBfURkAdgnHtZqvlKHCGA9lf9I+lUoSic2D3sD6W8SosHKqnGS8stWaUqxv8E0oZF8AN2apZMPaAm0XqkjQa7RQJ2E+z/ufPqYHv2K25qt/5vj92RGPaeRUq2DN3TaCIKA4TrRSbnxhuxirJk7m4O7ukWoAsadauXusMZ//zh0e6554i6CfN9YhjDGqybJlRtmK74HCcckGC9do272R4VviVqbg/kSP7bevXuheEPcjqkLuP34k/+dYfShOyNtGQByH49DR3cs+fiZzGFrhs7MXdPaG5/EdqUJTvXOOzgOm+pF/LpUQcq7wQEC1oj5LhJFWKkJjWpS23wMqIhryPvVjkT0H9vW4Boi74/Oxes5AL4/vVX8I+Vv06f6p8Eyjh4eHh4eHh4eHh4eHx40IXC3U331zEJwR0e00zPt/H4+qqtpKIbYf57+LrY0zkR/rfwA/1r8c/Fj/cvBj/cvBr4u/DPyc/uXgx/qXgx/rXw4/aaw/6KHRw8PDw8PDw8PDw8PD4/8v+PJUDw8PDw8PDw8PDw8PjxvhHxo9PDw8PDw8PDw8PDw8boR/aPTw8PDw8PDw8PDw8PC4Ef6h0cPDw8PDw8PDw8PDw+NG+IdGDw8PDw8PDw8PDw8PjxvhHxo9PDw8PDw8PDw8PDw8boR/aPTw8PDw8PDw8PDw8PC4Ef6h0cPDw8PDw8PDw8PDw+NG+IdGDw8PDw8PDw8Pb4aliwAAAAxJREFUDw8PjxvxfwGmSOyc2gBqMQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(16, 6))\n", "for i in range(30):\n", " ax = fig.add_subplot(3, 10, i + 1, xticks=[], yticks=[])\n", " ax.imshow(pca.components_[i].reshape((50, 37)), cmap='bone')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"Mean face\"" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(pca.mean_.reshape((50, 37)), cmap='bone')\n", "plt.xticks([])\n", "plt.yticks([])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's perform classification after we reduced dimensionality from 1850 features to only 100.\n", "We'll fit a softmax classifier, a.k.a multinomial logistic regression." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 74 ms, sys: 29.2 ms, total: 103 ms\n", "Wall time: 12.4 ms\n" ] } ], "source": [ "%%time\n", "from sklearn.linear_model import LogisticRegression\n", "\n", "X_train_pca = pca.transform(X_train)\n", "X_test_pca = pca.transform(X_test)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/yorko/anaconda3/lib/python3.6/site-packages/sklearn/linear_model/logistic.py:757: ConvergenceWarning: lbfgs failed to converge. Increase the number of iterations.\n", " \"of iterations.\", ConvergenceWarning)\n" ] } ], "source": [ "clf = LogisticRegression(multi_class='multinomial', \n", " random_state=17, solver='lbfgs', \n", " max_iter=10000)\n", "clf.fit(X_train_pca, y_train)\n", "y_pred = clf.predict(X_test_pca)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Accuracy: 0.723077\n", " precision recall f1-score support\n", "\n", " Ariel Sharon 0.47 0.53 0.50 15\n", " Colin Powell 0.73 0.72 0.73 65\n", " Donald Rumsfeld 0.55 0.55 0.55 29\n", " George W Bush 0.86 0.80 0.83 133\n", "Gerhard Schroeder 0.71 0.67 0.69 33\n", " Hugo Chavez 0.68 0.81 0.74 16\n", " Jacques Chirac 0.60 0.25 0.35 12\n", " Jean Chretien 0.38 0.50 0.43 10\n", " John Ashcroft 0.88 0.78 0.82 18\n", "Junichiro Koizumi 0.58 1.00 0.73 11\n", " Serena Williams 0.72 0.68 0.70 19\n", " Tony Blair 0.68 0.79 0.73 29\n", "\n", " micro avg 0.72 0.72 0.72 390\n", " macro avg 0.65 0.67 0.65 390\n", " weighted avg 0.73 0.72 0.72 390\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.metrics import confusion_matrix, accuracy_score, classification_report\n", "\n", "print(\"Accuracy: %f\" % accuracy_score(y_test, y_pred))\n", "print(classification_report(y_test, y_pred, target_names=lfw_people.target_names))\n", "\n", "M = confusion_matrix(y_test, y_pred)\n", "M_normalized = M.astype('float') / M.sum(axis=1)[:, np.newaxis]\n", "\n", "plt.figure(figsize=(10,10))\n", "im = plt.imshow(M_normalized, interpolation='nearest', cmap='Greens')\n", "plt.colorbar(im, shrink=0.71)\n", "tick_marks = np.arange(len(lfw_people.target_names))\n", "plt.xticks(tick_marks - 0.5, lfw_people.target_names, rotation=45)\n", "plt.yticks(tick_marks, lfw_people.target_names)\n", "plt.tight_layout()\n", "plt.ylabel('True person')\n", "plt.xlabel('Predicted person')\n", "plt.title('Normalized confusion matrix')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's compare this result with the case when we train the model with all initial 1850 features." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 2min 2s, sys: 1min 10s, total: 3min 13s\n", "Wall time: 16.5 s\n" ] } ], "source": [ "%%time\n", "clf = LogisticRegression(multi_class='multinomial', \n", " random_state=17, solver='lbfgs', \n", " max_iter=10000)\n", "clf.fit(X_train, y_train)\n", "y_pred_full = clf.predict(X_test)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Accuracy: 0.792308\n" ] } ], "source": [ "print(\"Accuracy: %f\" % accuracy_score(y_test, y_pred_full))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Well.. didn't work out as a cool example for illustration, logistic regression is still trained pretty fast with 1850 features, but accuracy is 79%, quite remarkably higher than 72%. But for images of higher resolution, and with heavier models, the difference in training time will be much more remarkable." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Some references\n", "- [PCA wiki page](https://en.wikipedia.org/wiki/Principal_component_analysis)\n", "- [PCA in 3 steps](http://sebastianraschka.com/Articles/2015_pca_in_3_steps.html)\n", "- [SVD wiki page](https://en.wikipedia.org/wiki/Singular_value_decomposition)\n", "- [Eigenface](https://en.wikipedia.org/wiki/Eigenface)\n", "- [sklearn.decomposition](http://scikit-learn.org/stable/modules/classes.html#module-sklearn.decomposition)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.0" }, "name": "lesson8_part2_PCA.ipynb" }, "nbformat": 4, "nbformat_minor": 1 }