{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Hierarchical clustering basics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Go to:\n", " \n", " - [Notebook configuration](hierarchical_clustering_basics.ipynb#Notebook-configuration)\n", " - [Dissimilar blobs showcase](hierarchical_clustering_basics.ipynb#Dissimilar-blobs-showcase)\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Notebook configuration" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:36:36.336670Z", "start_time": "2021-10-02T14:36:34.151849Z" } }, "outputs": [], "source": [ "import sys\n", "\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import sklearn\n", "from sklearn import datasets\n", "from sklearn.metrics import pairwise_distances\n", "from sklearn.preprocessing import StandardScaler\n", "from tqdm.notebook import tqdm\n", "\n", "import cnnclustering\n", "from cnnclustering import cluster, plot\n", "from cnnclustering import _fit" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Print Python and package version information:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:36:36.342880Z", "start_time": "2021-10-02T14:36:36.339076Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Python: 3.8.8 (default, Mar 11 2021, 08:58:19) [GCC 8.3.0]\n", "Packages:\n", " matplotlib: 3.3.4\n", " numpy: 1.20.1\n", " pandas: 1.2.3\n", " sklearn: 0.24.1\n", " cnnclustering: 0.4.3\n" ] } ], "source": [ "# Version information\n", "print(\"Python: \", *sys.version.split(\"\\n\"))\n", "\n", "print(\"Packages:\")\n", "for package in [mpl, np, pd, sklearn, cnnclustering]:\n", " print(f\" {package.__name__}: {package.__version__}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use [Matplotlib](https://matplotlib.org/) to create plots. The `matplotlibrc` file in the root directory of the `CommonNNClustering` repository is used to customize the appearance of the plots." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:36:36.354375Z", "start_time": "2021-10-02T14:36:36.345294Z" } }, "outputs": [], "source": [ "# Matplotlib configuration\n", "mpl.rc_file(\n", " \"../../matplotlibrc\",\n", " use_default_template=False\n", ")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:36:36.361633Z", "start_time": "2021-10-02T14:36:36.356063Z" } }, "outputs": [], "source": [ "# Axis property defaults for the plots\n", "ax_props = {\n", " \"xlabel\": None,\n", " \"ylabel\": None,\n", " \"xlim\": (-2.5, 2.5),\n", " \"ylim\": (-2.5, 2.5),\n", " \"xticks\": (),\n", " \"yticks\": (),\n", " \"aspect\": \"equal\"\n", "}\n", "\n", "# Line plot property defaults\n", "line_props = {\n", " \"linewidth\": 0,\n", " \"marker\": '.',\n", "}" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:36:36.370915Z", "start_time": "2021-10-02T14:36:36.363410Z" } }, "outputs": [], "source": [ "# Pandas DataFrame print options\n", "pd.set_option('display.max_rows', 1000)" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2019-09-11T14:38:11.051577Z", "start_time": "2019-09-11T14:38:11.034144Z" } }, "source": [ "## Dissimilar blobs showcase" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2021-03-22T13:19:52.308965Z", "start_time": "2021-03-22T13:19:52.302030Z" } }, "source": [ "Learn in this tutorial how to use the `cnnclustering.cluster` module for step-wise hierarchical clusterings, where\n", "one cluster step does not deliver a satisfactory result. We will also show how to use a data set of reduced size for cluster exploration and how we can transfer the result to the original full size data set." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will generate a sample data set of three clusters that have very different point densities and are spatially not very well separated. As we will see,\n", "it can be non-trivial (if not impossible) to extract all three clusters with a single set of cluster parameters. We will solve the problem by extracting the clusters in a two step procedure." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:36:36.427018Z", "start_time": "2021-10-02T14:36:36.373014Z" } }, "outputs": [], "source": [ "# Generate blobs with quite different point densities\n", "dblobs, _ = datasets.make_blobs(\n", " n_samples=int(1e5),\n", " cluster_std=[3.5, 0.32, 1.8],\n", " random_state=1\n", " )\n", "\n", "dblobs = StandardScaler().fit_transform(dblobs)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:36:36.451921Z", "start_time": "2021-10-02T14:36:36.428690Z" } }, "outputs": [], "source": [ "# Initialise clustering\n", "clustering = cluster.Clustering(dblobs)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:36:36.461227Z", "start_time": "2021-10-02T14:36:36.454767Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "alias: 'root'\n", "hierarchy_level: 0\n", "access: coordinates\n", "points: 100000\n", "children: None\n" ] } ], "source": [ "# Get basic information about the clustering instance\n", "print(clustering.info())" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:36:37.149252Z", "start_time": "2021-10-02T14:36:36.463400Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot the original data\n", "fig, ax = plt.subplots(1, 2)\n", "_ = clustering.evaluate(ax=ax[0], ax_props=ax_props)\n", "plotted = clustering.evaluate(\n", " ax=ax[1], ax_props=ax_props,\n", " plot_style=\"contourf\",\n", " plot_props={\"levels\": range(8)}\n", ")\n", "\n", "rect = ax[1].get_position().bounds\n", "cax = fig.add_axes([rect[0] + rect[2] + 0.02, rect[1], 0.025, rect[3]])\n", "cbar = fig.colorbar(plotted[-1][0], ax=ax, cax=cax, ticks=(0, 7))\n", "cbar.set_label(\"density\", labelpad=-15)\n", "cbar.ax.set_yticklabels((\"high\", \"low\"))\n", "for i in range(2):\n", " ax[i].set(**{\"xlabel\": \"$x$\", \"ylabel\": \"$y$\"})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking at these 2D plots of the generated points above, we can already tell that this is probably not the easiest\n", "of all clustering problems. One of the three clusters is hardly visible when the data points are drawn directly (left plot). More importantly, the point density between the two narrower clusters is as high as the density within the broader cluster (right plot).\n", "\n", "We also have generated a fairly large amount of data points. Although we can attempt to cluster the 100,000 points directly, this can be rather slow and memory intensive. For quick data exploration, it might be a good idea to perform the clustering on a reduced data set. We can predict the clustering later for the full sized set on the basis of the reduced result." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:36:37.153439Z", "start_time": "2021-10-02T14:36:37.150691Z" } }, "outputs": [], "source": [ "reduced_dblobs = dblobs[::100]\n", "rclustering = cluster.Clustering(reduced_dblobs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we created a cluster object holding a smaller data set by using a point stride of 100, leaving us with only 1000 points that can be clustered very fast. By visual inspection, we can now clearly spot three point clouds." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:36:37.465732Z", "start_time": "2021-10-02T14:36:37.154818Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, '1000 points')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the reduced data\n", "fig, Ax = plt.subplots(1, 2)\n", "_ = clustering.evaluate(ax=Ax[0], ax_props=ax_props)\n", "_ = rclustering.evaluate(ax=Ax[1], ax_props=ax_props)\n", "Ax[0].set_title(f\"{clustering._input_data.n_points} points\", fontsize=10, pad=4)\n", "Ax[1].set_title(f\"{rclustering._input_data.n_points} points\", fontsize=10, pad=4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When we pre-calculate pairwise point distances, we can plot the distribution of distances. This can give us a very basic estimate for a reasonable radius cutoff as one of the cluster parameters. For globular clusters, each cluster should be visible as a peak in the distance distribution around a value that is very roughly equivalent to the radius of the point cloud. We also expect a peak for each pair of clusters, roughly corresponding to the distance between the cluster centers. For more complicated data sets this approximation is not valid, but we can still get a feeling for the value range of meaningful radius cutoffs." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In general, we want to pick a rather small radius that allows us to estimate point density with a comparably high resolution. If we pick a too small radius, however, the clustering can become sensitive to (random) fluctuations in the point density which yields probably meaningless clusters." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:36:37.602224Z", "start_time": "2021-10-02T14:36:37.467304Z" } }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmoAAAGxCAYAAADSw5oOAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAABcSAAAXEgFnn9JSAABSsElEQVR4nO3dd3xT5f4H8M+TpOleQEvZlDJKy14yFRBBEQVUhIviBRUXoN7rQHFPhveyHL8rKg64KCrXAeJABZSNbFpmKdBCgdK90yTP74+0Jwkt0JHknLSf9+vFi5yTnJNvSqEfnimklCAiIiIi7dGpXQARERERVY5BjYiIiEijGNSIiIiINIpBjYiIiEijGNSIiIiINIpBjYiIiEijGNSIiIiINIpBjYiIiEijGNSIiIiINIpBjYiIiEijGNSIiIiINIpBjYiIiEijDO64qRDiHIAAACnuuD8RERGRF2kBoFBKGVXdC4WU0uXVCCFyfX19g2NiYlx+byIiIiJvkpSUhJKSkjwpZUh1r3VLixqAlJiYmLiEhAQ33Z6IiIjIO8THxyMxMbFGvYwco0ZERESkUQxqRERERBrFoEZERESkUQxqRERERBrFoEZERESkUQxqRERERBrFoEZERESkUQxqRERERBrFoEZERESkUQxqRERERBrFoEZERESkUaoGtcLCQjz22GOIiopCUFAQxowZg+TkZJdeK6XEwoUL0aZNGwQHB2P48OE4fvy4qz8KERERkcupFtSklBgzZgw+/fRTTJo0CfPmzUNiYiIGDhyICxcuuOzamTNn4umnn8aIESOwcOFCFBcXo2/fvjhx4oQ7Px4RERFR7UkpXf4LQEJcXJy8km+++UYCkL/88oty7vjx41Kv18vp06e75No9e/ZIAPKjjz5SzmVnZ8vmzZvLGTNmXPE9iIiIiFwhLi5OAkiQNchUqrWorV69GvHx8bjhhhuUczExMRg3bhxWrlxZHvhqde1bb72FyMhITJo0SXldaGgo7rnnHixduhR5eXlu+GRERERErqFaUFu3bh169OhR4Xzv3r2Rnp6O1NTUWl975MgRxMfHw8fHx+l1vXr1QkFBAceqERERkaapEtRKS0uRkpKCNm3aVHiu/NyRI0dqfW1RUREMBkOF14WEhADAFcMgERERkdpUCWrlXY5+fn4VngsICAAAFBcX1/rali1b4vz58xVeVx7Qzpw5U93SiYiIiDxGlaBWUFBge3NdxbfX6/UAAJPJVOtrBw4ciP379zt1cUopsWLFCgBATk5OTT8CERERkdupEtQCAwMBAGazucJzpaWlAICgoKBaX3vffffB398fEyZMwO7du3H48GHMmDEDSUlJAIBWrVrV8pMQERERuY8qQa18jFhmZmaF53JzcwHYZmfW9tqoqCh89dVXOHToEHr27InOnTvDaDRi1qxZAGwzRYmIiIi0quJIe0+8qcGAiIgIpWXLUflEgCZNmrjk2ptvvhkXL17EwYMH0aZNGzRs2BDPPfccfHx80K5dO1d8HCIiIiK3UG15jhEjRmD79u1Kd2W5HTt2IDY2Fi1btnTZtf7+/ujduzcaNmwIi8WC5cuXY9KkSQgLC3PZ5yEiIiJyNdWC2ujRo5GWloYvvvhCOXfkyBGsXbsWo0aNctm1l84enTNnDlJSUvD000+74FMQERERuY8qXZ8AMHbsWAwYMADTpk1DamoqdDod3nnnHURGRjqFqI0bNyI9PR133HFHta+9cOECevTogcmTJ6NVq1b49ddfsWrVKixbtgwdOnTw6OclIiIiqi7Vgpper8ePP/6IZ555BgsWLEBxcTGGDRuG+fPnIyIiQnndSy+9hI0bNzptKVXVa8PCwvDoo49iyZIlOHPmDOLj47F69WrcdNNNHv2sRERERDUhrrSnZo1vKkRCXFxcXEJCgsvvTURERORN4uPjkZiYmCiljK/utR4do5aeXYxDp7KvuOE6EREREdl4rOszLaMQ41/5DWaLxD/GdcK4wRX36iQiIiIiO4+1qG1NOA+zxdaStn5PmqfeloiIiMhreSyoFZVYlMdZeSWeelsiIiIir+WxoFZscghq+QxqRERERFfjuaBWag9quQWlMFusnnprIiIiIq/kuaBWYnY6zs43eeqtiYiIiLySKl2fAJCZy+5PIiIioitRpesT4Dg1IiIioqvxYNfnJUGNMz+JiIiIrki1rs+sPI5RIyIiIroSFYMaW9SIiIiIrsSDQc151mcmgxoRERHRFbFFjYiIiEijOEaNiIiISKPYokZERESkUeoFtfwSSCk99fZEREREXscjQa3UbIXF6hzKTKVWFF6ythoRERER2XkkqF3amlYuK7fYE29PRERE5JXUDWrcmJ2IiIjosjwU1MyVnudaakRERESXp26LGoMaERER0WWpHNTY9UlERER0OWxRIyIiItIoBjUiIiIijfJIUCu6zGQCBjUiIiKiy/NIUCvhGDUiIiKiavN412dooFF5nJXPFjUiIiKiy/FQ16c9qDVpGKA8zikwwWyxeqIEIiIiIq/j8a7Ppg5BTUogt4Ddn0RERESV8XjXZ1iwEX5GvXLM3QmIiIiIKueZoFZin/Xp56NHeLCvcswJBURERESV80xQK7W3qPn56hEe5DChgC1qRERERJXyzGSCEoegZry0RY1BjYiIiKgyHp9M4OdjQIMQdn0SERERXY1KXZ/2oMbJBERERESVU6nrk2PUiIiIiK7G412f/hyjRkRERFQlBk+8iWPXp69RD6OPfR21rHyOUSMiIiKqjEeCWpHjOmpGvdOCt2xRIyIiIqqcCl2fBjRw6PosNlmcghwRERER2bg9qEkpK3R9hgQaIYT9NZz5SURERFSR24OaqdQKKe3HfkY9DHodQgM585OIiIjoStwe1Bw3ZAdssz4BOK2lxkVviYiIiCpye1ArMjmPP/MtD2pcS42IiIjoijzaouZj0MGgt70l11IjIiIiujK3BzXnfT7ty3I4BTWupUZERERUgQe6Pp1nfJZzDGqZuWxRIyIiIrqUR7s+/X0dgxrHqBERERFdiUa6PhnUiIiIiC7l0Vmfjl2fDTiZgIiIiOiK1Ov6DLJ3febkm2CxShARERGRnUe7Pn197HvAh4f4KY+tEsgp4MxPIiIiIkcenfXp59D1GeCrh9HH/vbs/iQiIiJyplrXpxDikm2kGNSIiIiIHHk0qPk6zPoELt2dgF2fRERERI5Ua1EDuJYaERER0ZV4IKjZl+dwHKMGcC01IiIioitRteuzAbeRIiIiIrosD3d9Gpye4xg1IiIiosvz7BZSFbo+HcaoseuTiIiIyIlH11G78qxPBjUiIiIiR+rO+nRYRy2bQY2IiIjIicpdn/agVlhicZohSkRERFTfeaDr03F5jksnExidjjmhgIiIiMjOo12fl7aoGfQ6hAT6KMccp0ZERERk59agZrFKmEqtyvGlQQ0A9/skIiIiugy3BjXH8WnAZYIa11IjIiIiqpRbg1pxaVWCmn2cWibXUiMiIiJSuDeolTjP4rx0HTXgkhY1biNFREREpHBvULtksVudTlR4TWigvUUtt5Bdn0RERETlPNb1WVm3JwAE+tmX7Cgo5jpqREREROXc3PV59aAW5G9fniO/iEGNiIiIqJzHuj6rEtQKikrdWQ4RERGRV1E9qAX627s+8xnUiIiIiBRuDmqO20ddpkXNz6FFjWPUiIiIiBSaalFjUCMiIiKyUz+oObSolZqtKLlkkVwiIiKi+sqDQc1Q6WuC/J3Pc0IBERERkY3qLWp+Rj30DgvhcokOIiIiIhvVg5oQwnnmZzFb1IiIiIgATwY138qDGuA8Tq2ALWpEREREADwZ1CrZkL1ckNM2UmxRIyIiIgI8uY6ab+WTCQAgkNtIEREREVWg+hg1wHnmJ2d9EhEREdloouvTcYwaW9SIiIiIbLQxmYCzPomIiIgq0EbXp0OLWiG3kSIiIiIC4MnJBFfq+nRsUeMYNSIiIiIAHu36vPyszyDO+iQiIiKqQBNdn4Gc9UlERERUgVuDmtkilcf+VRyjls8xakREREQA3BjUrFI6HV+xRc1hZ4JCzvokIiIiAuDGoHZJToPvFRe85Rg1IiIioku5MajZk5pOAEbD5d/KcYxasckCs8XqrrKIiIiIvIYbuz7tj/2MegghLvtaxxY1AChgqxoRERGRZ1rUrtTtCQABlyzdwd0JiIiIiNzZoubQe+lvvPwaagCg0wkE+Dku0cEWNSIiIiL3taih6i1qABDkGNTYokZERETkxqDm0KJ2paU5ygVy5icRERGRE4+so3alxW7LBXG/TyIiIiInHllHrWpdn/YWNY5RIyIiIvLQrM+rTSYAgADHFjWOUSMiIiLyTNdnVcaoObWocb9PjygtLcXIkSNx8uTJKl9TWFiIxx57DFFRUQgKCsKYMWOQnJxc4XUFBQWYNWsW4uLiEBQUhF69euGTTz6B1crFjImIiKrq6k1dNVTtrk9/x+U52KLmLlJKpKamYt++fZgzZw42b95crWvHjBmDHTt2YOrUqYiOjsbChQsxcOBA7NmzB5GRkQBsAXDYsGE4evQoZsyYgdatW2Pr1q24//77cfDgQfzrX/9y18cjIiKqU9wY1Ko3mYCzPj0jJSUFrVq1gk6nQ+PGjat17XfffYd169bhl19+wQ033AAAGDFiBDp06IDXXnsNb7/9NgBg+fLl2LZtG7Zt24ZrrrkGADB58mS0bt0as2bNwrRp0xAdHe3aD0ZERFQHeWwLqatxnkzAFjV3iYyMxN69e5GVlYV//vOf1bp29erViI+PV0IaAMTExGDcuHFYuXKlEs53796NBg0aKCGt3M033wwA2LNnTy0/BRERUf2giS2kAOeN2TmZwH38/PzQtWtXhISEVPvadevWoUePHhXO9+7dG+np6UhNTQUAdOrUCVlZWTh37pzT6w4dOgQhBOLj42tWPBERUT3jkeU5qjLrM9BpZwJ2fWpNaWkpUlJS0KZNmwrPlZ87cuQIAODee+/FkCFDMHr0aGzatAmpqalYtWoVHn/8cbz00kvo0KGDR2snIiLyVm4bo1btWZ/+XEdNy/Ly8gDYWuQuFRAQAAAoLi4GAPj4+OCnn37CzJkzMWjQIOXc8uXLceedd3qoYiIiIu/nkVmffr7VnUzArk+tKSgoAADodBUbYfV625+vyWRSzs2bNw+ffvop5syZg9jYWKxZswYPPvggIiMjMXjwYI/UTERE5O08Muuzai1q9lIKS8ywWiV0OuGW2qj6AgMDAQBmc8XWztJSW7AOCgoCYJt08Pzzz2PdunUYNmwYAGD06NEIDAzEmDFjcOLECTRo0MBDlRMREXkvz8z69KnerE8pbWGNtKN88kFmZmaF53JzcwEAoaGhAID33nsP0dHRSkgrN3XqVOTk5GDlypVurpaIiKhu8Misz6p1fTo37nFCgbYYDAZEREQgKSmpwnPlkwiaNGkCADh16hRat25d4XXl56qzEwIREVF95pFZn1Xp+jTodfB1aHnjODXtGTFiBLZv3650dZbbsWMHYmNj0bJlSwBA+/btcerUqQrXlwe09u3bu71WIiKiusAze31WoesT4DZSWjd69GikpaXhiy++UM4dOXIEa9euxahRo5Rzt99+O06cOIEff/zR6fp33nkHAQEBGDFihMdqJiIi8mZum0zgyM+3am8T6O+DjNwSANxGyp2+/vprAMD+/fsBAGvXrkVkZCQiIiJw3XXXAQA2btyI9PR03HHHHcp1Y8eOxYABAzBt2jSkpqZCp9PhnXfeQWRkJJ5++mnldXfffTe+/PJL3HbbbXj88cfRrl07/PTTT/jqq6/w7rvvonnz5h78tERERN7LM0GtCl2fABDkx90JPGHcuHFOx9OmTQMAXHfdddiwYQMA4KWXXsLGjRudxhrq9Xr8+OOPeOaZZ7BgwQIUFxdj2LBhmD9/PiIiIpTXCSHw7bffYu7cuVi5ciVOnjyJ7t2744cffsDIkSPd/wGJiIjqCE0FNccJBYVsUXMbx/B1OeWB7VLBwcF499138e67717xer1ej1mzZmHWrFk1KZGIiIjgxjFq5Qx6AYO+am8T6LBEB1vUXONCVhGmLdyMu15fj6SzuWqXQ0RERNXg9qBW1dY0wHkbKY5Rq70SkwXPLNmBPccykJyWh7kr9qldEhEREVWDB4Ja1XtXAznr02WklHjri/04fDpHOXcwOQsHTlRcsJaIiIi0SVstan5sUXOVVRtPYu32lArnV/x6XIVqiIiIqCa0FdQcW9Q4Rq3G9hzLwKJVB5XjxuH+yuM/9p9DyoV8NcoiIiKiatJUUHOcTMAtpGrmfFYRnvtwJyxlm61GhPnhg6cGoXWUbcN0KYEvfj+hZolERERURdoKag4tatxCqvpKSi2Y9cFOZOebAAA+Bh3evL83GoX64W/Xxyiv+2HbaWTllahVJhEREVWRpoKa46zPAo5RqxYpJf71xX4cOpWtnHtqfBfER4cDAIb3bo4Gwb4AAFOpFf/746QKVRIREVF1aHbWJ9dRq57tien4YZt98sBt17bGqP4tlWNfHz3uGBytHK/6IxklJotHayQiIqLq0VaLmp9zi1pVVtAnm+XrjimPO0WH47HbO1V4zdiBrZU/j+x8E36sZFYoERERaYemglqgw16fFqtESSlbfKoi8WQWdh/LUI6nj42Dj6HiH21okBGj+tlb2T7/PQlWK8MwERGRVmkqqDmOUQO4llpV/ddhbbRO0eHoEtPwsq8dP7QNdML2OOVCAf48cM7d5REREVENaSqoGX10MOiFcsyZn1eXeiEfG/amKcd33dD2iq9v1igQg7s1VY4//zXJbbURERFR7WgqqAkhOPOzmj7/LQnlQ/laRgZiUOeoq17juFTH/hOZ3FaKiIhIozQV1ADncWqc+XllmXklTjM9Jw5rC51OXOEKm/jocHSNaaAc/7Qj1S31ERERUe1oL6ixRa3KVm1MhslsBQA0DPHFiD7Nq3ztzX3tkwq2H7rg8tqIiIio9jS1jhoABPlxv8+qKCw24+uNycrxuCFt4OtT9VDcp2OE8vjsxUKkphe4tD4iIiKqPU23qHHW5+Wt2XoaeYW2IBvgq8fYga2rdX1kuD+io4KVY7aqERERaY/bg5q/b/WCWpDD7gQFnPVZKbPFis9/s8/WvHVAKwQH+Fzhisr1ibO3qu04lO6S2oiIiMh13B7UfKs9mcChRa2YLWqV+X33WZzPKgIA6HUC44fGXOWKyl3TMVJ5vOvoRZgtVpfUR0RERK7h/q7PaoybAi7dmJ0tapeSUuK/6+wL3A7v3QyNw/1rdK9ubRvAWLaDQWGxGQdOZLmkRiIiInIND3R9Vm8yQaDTZAK2qF1q4740HDuTqxxPvP7KC9xeiZ/RgK5t7bsY7DjMcWpERERaor2uT4cxatyZwFmp2Yr3vj2kHA/s3BgxzUJqdc9rHGZ/bk/kODUiIiIt0XTXJ2d9Ovt200llGQ2dAB4eHVfrezqOUzuSko3s/JJa35OIiIhcQ3PLcwQ5TCbgOmp2+UWlWLr2qHJ864BWiG4SfIUrqqZN02A0CvUFAEgJ7Dx8sdb3JCIiItdwa1Az+uiqtKWRo0Cn5TnYolZu2S/HkFNgAgD4G/W4b2QHl9xXCIE+sfZWNa6nRkREpB1uDWrVbU0DuNdnZc5lFmLl7yeU47uHt0XDUD+X3f/S9dRk+S7vREREpCq3BjX/am4fBTiPUTOVWlFq5tpeS1YfVvb0bBTqiwk1XDftcvrERkCUNXxezCnGibQ8l96fiIiIasatQa26Mz4B5y2kAM78PHI6Gz/tSFWOp46KrfaSJ1cTFuSLDi1ClWPuUkBERKQNbgtqRh8doqOCqn1dgK8ejsPa6vOit1JKvP1NonLcpmkwRvZt6Zb36tOR49SIiIi0xm1BrVmjQMx+oE+1rxNCcBupMlsSLmD3UfsszOlj4qGv5uSMqnJcpmPv8QyUmCxueR8iIiKqOrcvz1ETAdydAGaLFe85tKb1jo3ANQ6D/l2tU3Q4AnxtXdWmUiv2JmW47b2IiIioajQZ1IK4OwFW/XESyedsg/qFAKaPjYMQ7mlNAwAfgw492jvuUuDc/SmlRG6BCRYrZ4QSERF5imtHpbtIfd+YPTO3GB+uOawcj+rXEu2ah17hCte4Ji4Cmw6cA2DbTuponxzsS8rA/qRM7EvKwMWcErRtFoK3H+2P0CCj2+shIiKq7zQZ1ALr+TZS//fdIaXLN9jfBw/d2tEj73tNrL1FLflcHibP2VjhNcfP5GLB1wfw8uSeHqmJiIioPtNm16fTGLX61aJ2MDkTP2xLUY6njopFeLCvR967eWQQmjYKuOrrftl5Bn/uP+eBioiIiOo3TQa1QKeuz/rTomaxSsz/8oBy3LZZCMYMauXRGu64Llp5rNcJdGwVhglD22D21N6Ijw5Xnpv3+T7klm1pRURERO6hza5Pp22k6k9QW7P1NA6fzlGO/zGuMwx6z2bp8UPaIL51OExmK+JahTktrtsqKgiTZ2+EyWxFRm4JFq06iBfu6eHR+oiIiOoTTbao1cfJBLkFJvznu0PK8fBezdC9XUOP1yGEQOc2DdCzfaMKOyC0jgrG/aPsm8H/uD0Vmw+e93SJRERE9YYmg1pgPVyeY8maw8gp60oM8NVj2th4lSuq3IShMYhrFaYcz12xD3mF9ePPiIiIyNM0GdSC6tnOBEdTcvDtnyeV48k3tUdEmJ96BV2BQa/Dc5O6w8dg+9a5mFOMxasOqlwVERFR3aTNoObQolZYxycTSCmx4KsDKF9HtmVkIMYPiVG3qKuIbhKM+0bau0B/2JaCbQncH5SIiMjVNBnUApxa1Op2t9r6PWnYl5SpHP/jzs5Ka5WWTRwWg9iW9kV456zYy/1BiYiIXEyTicCxRa0uTyYoKbXg3W/t+3kO7NzYaXN0LSvvAjXobdtaXcguxrq/zqhcFRERUd2i0aBmb1ErLLHU2f0lv9pwAmkZhQBsa5ZpdQLB5cQ0DcEt/VoqxyvXJ0HKuvlnRUREpAZNBjXHWZ9A3dydIDOvBJ/8dEw5vu3a1mjVOEjFimpm3JA2yuOks3nYdfSiitUQERHVLdoMag5j1IC6uTvBh2sOo7B8P88AH6fB+d6kdVQw+sbZu2u/XJ+sYjVERER1iyaDml4n4G/UK8d1rUUt6Uwuvt98Sjm+d2QHhAQaVayodu4cbG9V23zwHFIv5KtYDRERUd2hyaAGOO/3mV+HWtSklFj8vwSn5Thuv7a1qjXVVp+OEUq3rZTAVxvZqkZEROQKmg1qdXXm55aEC9h5OF05nn5bvMf383Q1nU7gToexaj9sS6lTf2ZERERq0WxCqIstamaLFW//L0E57tWhEQZ0aqxiRa5zY5/mCC77MyssNmPN1tMqV0REROT9NBvUgvwc9vusA2PUcvJNmP/lAZw+bxu/pRPAo7fHQwihcmWu4e9rwK0DWynHX21IrrPLqhAREXmKdoNagL1FLbfAe4Nadn4J/u+7RNz+4jp8u8k+gWBU/1Zo2yz0Cld6n9uvbQ29zhY8z2YUYvOBcypXRERE5N0MV3+JOiJC7ZuSp2cXqVhJzWTllWDFb0n438ZkFF2ytVKzRgF44JZYlSpzn6gGAbiuaxP8vucsAODL9SdwbdcmKldFRETkvTQb1Bo3CFAen8/0rqC249AFzPpgJwpLnANaSKAPJgyNwbjrop3G4NUl44e2UYLa7mMZOJqSg/Yt6lbLIRERkadotuszKtxfeXwuy3uCWmZuMV7+ZLdTSAsNNOKh0R2x6tUbMPnG9nU2pAFAp+hwdGwVphx/teGEesUQERF5OQ23qNmD2vnMQkgpNT/wXkqJeV/sR3a+CQDg66PHfTe3x22DohHgp9kvtUsJIXDn4DZ45dPdAIBf/jqDB27piIgwv6tcSXVRcXExiouLK30uICAARqP3LvRMROQJmm1Ra+zQolZYYvGKJTp+2pGKP/bZB9BPGxOHu29oV29CWrmhPZoqwazUbMUXvyepXBHV1q5du3D99dcjLCwMsbGxeOSRR5CdnX3V6+bMmYPw8PBKf33//fcVXl9UVIQnnngCzZs3R1hYGIYNG4b169e74RMREXkHzSaIsCAjjD46mEqtAIDzWYUIDtDuWKcLWUVY8NUB5bhXh0a4zct3HKgpH4MOf7s+BotX2daM+/bPk/j7iHZevU1WfXbgwAEMGDAAEyZMwMSJE3Hw4EG89957+OWXX7B9+3Y0bNjwqveoLGzFx8c7HWdkZODWW29FYmIipkyZgi5duiApKQmZmZku+yxERN5Gs0FNCIGocH+cvlAAwDahQKvLWUgp8eZ/9yqtfgF+Bsy6uxt0Om131brTrf1b4dOfjiGnwIQikwVfb0zGvV668Xx999hjj+HBBx/EokWLlHOjRo3CsGHD8Oqrrzqdv5zBgwdf9TVTpkzB4cOHsWHDBnTt2rU2JRMR1Rma7foEnMepaXlCwbebTmHHIfu2UI/f0QlRDrNW66MAPwPGDY5Wjr/ccAKFxdrvviZn2dnZ+OOPPzBr1iyn89dffz2GDh2Kzz//3CXvs2vXLqxevRozZ85kSCMicqDtoBau/SU6UtML8I7DtlADOzfGzX1bqFiRdtxxXTQCfPUAbIsWf7/l1FWuIK0JCwvD0qVL0bhxxa3OunbtivT0dGRkZNT6ff7973/Dx8cHDz74YK3vRURUl2g6qEWG22cKntdgi5rFKvHGsj3KgrahgUbM/FtXzc9O9ZSQQCPGDGytHK/4NQmmUsvlLyBNuueeeyo9n5aWBr1ej6CgoKveY8GCBWjTpg0aN26M++67D7m5uU7P79+/Hx06dEBWVhZuv/12NGjQAO3atcPHH3/sks9AROStNB3UojTeorb8l2PYl2Qf6PzUhC5oGMplKBxNuD4GPgbbt9nFnGL8tCNV5YrIFcxmM7Zs2YJBgwbB19f3qq9/9dVXcfvtt+O5557D999/j2uvvRYlJSUAAKvViqQk28zg4cOHIzY2FrNnz0ZYWBjuvfderFmzxq2fhYhIyzQ7mQC4ZC01jbWobT90AUvWHFaOh/VshqE9mqpYkTY1CvXDzX1bKPucLl93HDf3a6nsCUreae7cuUhLS6vyGLU1a9ZgwIABAIDY2FiMGDECH374IaZNm4bz58+juLgYBw8exJ9//omBAwcCAMaPH4/u3btj9uzZGDVqlNs+CxGRlmm6Rc1xLbX07CKYLVYVq7FLyyjESx/vgpS246aNAvDkhM7qFqVhE4e1RXkuS00vwPqyLabIO+3evRuvvvoqPv74Y/Tv3/+Kr33yySdx/vx5JaQBwA033ICGDRtixYoVAACDwfb/xT59+ighDbCNj5swYQK2bNlSpTXbiIjqIq8JalZp6zpTW0mpBc99uBO5BaUAbLsPzJ7aGyEBXCPscppHBGJYz2bK8bKfj0GWp1zyKidOnMCoUaPw5ptv4q677rrq64OCghAZGel0TgiBli1b4vBhW4t0SEgIAKBdu3YVro+Ots0cTk5Orm3pREReSdNBzdeoR1iQPQBdULn7U0qJf688gMOnc5RzMyd2Qbvm2lzfTUsmDbf/ED52JhdbEy6oWA3VRFpaGm644QZMnToVTzzxRK3uVVJSAh8f2563vr6+iI6ORlpaWoXXWSy2ySflrW5ERPWNpoMaAERpaC217zafwpqtp5Xj269tjRv7cCmOqohpFoKBne1LPHz28zEVq6HqyszMxPDhwzF27Fi8/PLLVb4uJSWlwrmSkhIkJSWhS5cuyrl+/fph+/btMJud19orb3Urb1kjIqpvNB/UHLs/1Zz5mXgyCwu+Oqgcd24Tjkdv76RaPd7IsVVt/4lM7DlW+/W3yP3y8/MxcuRIDBw4EG+99VaVl585ePAgBgwYgJMnTzqdX7x4MUpKSvDII48o5+655x4UFBRg2bJlyrmMjAwsX74ckyZNqtISIEREdZHm+xMaO6zwr9bMz9wCE2Z9sBOlZttkhgbBvnj9vt7KshNUNZ3bNECPdg2xuyygffbzUXRv10/lquhqxo4di4yMDAwZMgSrVq2q8PxNN92EwMBArF27FgAwcuRIAED79u3Rvn17dOvWDWPGjMHAgQOxa9cuvP/++5g0aRJGjx6t3GP48OG444478OijjyItLQ3+/v744IMP4O/vj9mzZ3vmgxIRaZD2g5oGWtRW/XESF7JtExn0OoHX7uuFiDCul1YTf7+xPXYf2woA2H4oHYdOZaNjqzB1i6Ir+vXXXwHYlsuoTHJyMgIDA5UWsvIWNKPRiO+++w7z5s3D119/ja+++gqdOnXC22+/jUceecSpZU4IgS+++AIvv/wy3n//fRQXF2Pw4MFYuHAhmjRp4t4PSESkYd4V1FRoUZNS4sft9nE2dw9vi+7tGnq8jrqiV4dG6NgqDIdOZQMAlv1yDG9O7V3l66WU2HLwPL7bfAq+Rj3uG9kBraOC3VQtAajyDN1LuzgBIDAwEK+88gpeeeWVq16v1+vx2muv4bXXXqtuiUREdZZ3BTUVWtQOnMhEanoBAEAIOG2JRNUnhMDfR7TDM0t2AgA27E1DcloeoptcOWyZLVb8vucslv18DEln85TzG/emYcLQGEy5qT38fTX/7ewVCorNWPbzMeQVmtCxdTi6tGmAFpGB3BqNiEgFmv/J5rg7QV5RKQqKShHo7+Ox91+73b7lUc/2jZyCI9XMwM5RiG4SjOQ0W+Ba9ssxvPj3HpW+1lRqwdrtKVi+7jjOXiys8LzZIrF83XGs++sMHr+jE67tGsVAUQu5hSb8851tSCxr8fymbEeJsCAjOkU3QOc24egf3xgxzUJUrJKIqP7Q/Gj4BsG+MOjtP3g92f1ZYrLgt11nlOObruFSHK6g09la1cqt++sMzlwsqPC6AycyMf6V3zHv8/0VQlr/To0rdIs/+8FOPPnedqUFlKonM68EMxZuUUKao+x8EzYdOIf/++4QJr25AfO/PIDCYnPFmxARkUtpPqjpdAKRKo1T+2P/ORSU/TAK8NVjcDcOanaVoT2aomkj24xei1VixbrjTs+v3XYa0xdtcfrz1usEhvduhmXPDca/Hr4GK14YgnuGt3MK8lsTL2DqW3/iXGbF1je6vPTsIkxbsBnHzuQq53q2b3TZLumvNybjnjc3YNfRi54qkYioXtJ81ycARIX7Ky0qnhyntnabfXHbwd2bcgyUCxn0Okwa3g5zV+wDAKzZloLJN3VAgxBf/N+3iVjxW5LyWr1O4Nb+LTHxhrZo1ihQOe/va8BDozvixmuaY/6XB/DXEVtoyCkw4ds/T+Gh0R09+6G8VFpGIWYs3uLUannXsBg8MiYOQgjkFpqQkJyFAyeysH7PWZw6nw8AOJtRiBmLtmDsoNZ4ZEwcAv3494OIyNU036IGOI9T89TuBOnZxdh5OF05vrkvuz1d7aY+zZVlTkrNVixdewQz39/hFNLCgox457H+eOpvXZ1CmqPWUcFYNKMf/n6jvTt1/d6z3E+0Ck6fz8cjCzY7hbT7b+6ghDQACAkwol98YzxwSyw+ffY6TL6xPfQ6eyvmN3+exKQ31rN1jYjIDbwjqIU7LHrroRa1n3emwFr2c75JwwB0jeGSHK5m9NFj4vUxyvF3m09hy8HzynFM02B89PS16Nr26l97IQRGD2ilHKdcKMAJh9mhZGexSvx1JB3zPt+HqW/96dS9PH1sHO4d2eGyEzKMPno8cEssPnxqENo6TCg4l1mEx9/eioPJmW6vn4ioPvGOoNbAs2PUpJT4cZt9tudNfZpDp+NMQne4dUArhAYaK5wf1CUK/3liEJo0DKjkqspFNQhAnMPiuev3nHVFiXWCxSqx51gG/rVyP26d9TMeXbwV3246hbyiUuU1T03ogonD2lbpfh1ahuGjp6/FvSPtrWsWq8ScFftgtljd8hmIiOoj7whqHp5McPh0DpLP2VtjbuRsT7fx9zXgziFtnM7dM6IdZk/tXaMxT0O6N1Uer9+TVuv6vJ2UEr/vPouJr/2OaQs3439/nERWnsnpNf5GPV78e3eMHdS6Wvf2Mehw/82xWDC9r3LuxNk8p65rIiKqHa8Y/Rvl0KKWnl0Ei1U6jZFxNcdJBF1jGqB5ROVjo8g1/nZ9Gxw6lYVT5/Nx/82xuKFXsxrfa3D3Jnj320QAQPK5vCotpltX7TmWgfe+TUTCyawKzxn0An06RuL6Hk0xqEsUgmqxNmGvDhG4dUArfL/Ztuba0rVHMLR7U/69ISJyAa8IapFh9qBmtkhk5pa4ba9NU6kF67h2mkf5GQ2Y99A1LrlXs0aB6NAiFEdScgAAG/aeRXSTDi65t6scS83ByXP5yC0wIafAhOx8E3ILTCgoNqNzmwYYP7QNfH30Nb7/yXN5eO/bQ9h04JzTeZ0AesVGYFiPZri2WxRCAip2OdfUI2M6YtP+c8jMK4Gp1Iq3vtiPhdP7cvFhIqJa8oqgFuBnQHCAD/IKbeNpzmcVui2obUk4j9wC2/v4+ugxtEfTq1xBWjO4WxN7UNuThik3aSOopWUUYsFXBysEKEebD57Hb7vP4PX7eqFFZFCV720qtWBb4gWs++sM1u85q0yEKTeoSxQeHt3RbfuihgQY8dgdnfDSx7sAADsPp2PdX2cwvHdzt7wfEVF94RVBDbCtpaYEtcwidIp2z/usdZhEcF3X2nUJkTqGdG+K91cfBgAcO5OLlAv51Qo9rma2WPHl+hP48IcjKDZZrvr6Y6m5mDL3DzwzsSuG9bx8N7DZYsVfhy/i111nsHFfmrI4s6P46HBMHxNXpZmztTWsZ1P8uD0F2xIvAAAWfn0QfeMiEVLJZBEiIqoarwlqjRv4K6umu2tCwfmsImxNsC8PcRPXTvNKLRsHIaZpsLJ5+/q9abhneLurXOUeB5MzMe/z/TjusOI/YKuxSQN/hAYaERpkRGigEeezirB6i218ZGGxGS8u3YU9xzLw6O3xSldoWkYhdh25iL+OpGP7oXTkFJgqvCcANI8IxMOjO2JwtyYe634UQuDJ8Z1x1+sbUFJqQXa+Ce9+m4hn7+rmkfcnIqqLvCeoOcz8POeGtdSKSsx45v0dsJT1GTUK9UOvDhEufx/yjCHdmyLp7BEAwIY9Zz0e1LLzS/DB6sP4dvMpOK67GxZkxIzb4nFjn+aVBqh+8ZF4c/le5BfZWse++fMkEk5mIbZlGP46kl7pxvTl/Ix6DOwchet7NsWATo1h0Ht+UnfTRoG4/+YOyoSO1VtO48Y+LdC9HdchJCKqCe8Jam5cS81qlXjtsz3KuCYAeOCWWLfOLCX3GtK9KT78wRbUDp/OwdmLBWh6mZ0NXMlUasHXG5PxyU9HlbBV7pb+LfHI6DiEBl2+K3Bwt6Zo1zwUL3z0Fw6ftn0/Hk3JwVGH701HRoMOfeMjMaxnMwzo1FgT25yNH9oGv+xMVVrA567YiyVPDmIXKBFRDaj/r3oVOe1O4OKgtmT1YWzYa19z684hbTCqX0uXvgd5VnSTYLRqHKTsS7lhb1qVF3OtCSkl1u9Jw3vfJuJshnOrV5umwXh6Qhd0qeLuFs0aBeI//xyId75JxNcbkys83yIyEL3aN0LPDhHo0zFCc+MoDXodZk7siqn/+hNSAqcvFODRt7di8Yx+DGtERNXkNUHNcS01V24j9eP2FHz2yzHluF9cJGbcFu+y+5N6hnRvik9+OgrANk7NXUHt0KlsLPr6IPafcN4+KcjfgCk3dcC4wdHV7oY0+ujxzzs7o2eHRvh6QzIiwvzQq4MtnDkOA9CquNbh+PuI9srX/2hKDh57eysWPdrPpcuCEBHVdV4T1Bx/OOUUmFBUYq51N8++4xmYs2KfchzdJBiv3tuTXZ51xJDuTZSgkJCchfNZRS4POdsPXcCT721XxjYCgF4nMHZQa9w7sj3Cgnxrdf/rujbBdV2b1LZMVUwd1QFFJjNW/n4CAHAkJQePv70Vi2b0R3CAtloBiYi0yiu2kAKAhqF+TgGqtt2fZy8W4NkPdqLUbNuXMCzIiLce6oNAjXUjUc21bRbitDq+Y/e2K6ReyMeLH+1yCmkDOzfGsucG4593dq51SPN2Qgg8elu80xZhh0/bWtbKl9ohIqIr85qgptcJp0VuaxPUSkotePr9HcjOty1t4GPQYc4DvT0y2Jw8RwiBId3trVEbXLhJe0GxGTPf36lsau5n1GP+tL6Y99A1bltU1hsJIfDY7fEYN9i+8OHh09l4/J2tyC9iWCMiuhqvCWrAJZuz12Kc2mc/H8OJs/ZN15+Z2LXKA73Juzhu0r7/RCZS0wtqfU+rVeLVT3cj+Zz9e+i5u7uhb1xkre9dFwkh8PgdnXDHdfawduhUNv7x7jYUmyou0ktERHbeFdRcsERHcloeljlMHrjjumju51mHdWgRiqaNbDOGpQTm/HcvrJfur1RNS388gj/327eBumd4O1x/hR0EyBbW/jGuE26/trVyLiE5Cy8u3Q2zxapeYUREGuddQa2WLWpWq8S8z/fBbJHK/R66taPL6iPtEULgwVvsf8a7j2Xgf3+crPH9Nu5Nw9K1R5Xj/p0aY+otsbUpsd4QQuCfd3bG6AGtlHObDpzD/C8PQMrahWciorrKa4PauRq0qK3Zehr7kuxLKDwxvjMC/Lxm4ivV0LCeTTG4m32s2nvfJSL1Qn6173PibC5e+2y3ctyycRBentyDs4SrQQiBJ8Z3xsDOUcq5bzedwqc/H7vCVURE9Zd3BbUG9kVvL1QzqGXmFuPdbxKV48Hdmjj9sKC6SwiBpyZ0QVjZjgDFJgteX7bXabbm1dgmD+xAYYltU/VAPwPmPthHc4vNegODXodX7+2B+Ohw5dyS1Yfxw9bTKlZFRKRNXhXUohxa1C5kFVVrrNHi/yUoM/QC/Az4x7hOLq+PtCs82BdPTeiiHO8/kYmvNpyo8vXvf38IZ8r22RQCeHlKT7RqHOTyOusLP6MBbz3UBy0i7TOt56zYh20JF1SsiohIe7wqqDlOJjCZrcjOL6nSdTsOXcAvO88oxw/d0hERYdpf3Z1ca0j3phjmMOj/P98fUraYupKE5Cys+sO+ldPkG9tjQKfGbqmxPgkL8sX8aX0RHmxr6bRYJZ77cCd2H72ocmVERNrhVUEtyN8HgQ5jyqoyTq3EZMG8L/Yrx3GtwjDWYeYZ1S9P3NkZDYJtC9GaSq14fdmeK3aBmi1WzFmxF+Vj3VtHBeHvI9p5otR6oVmjQPz7kb7wN+oBAEUmC6Yv2oIZi7bgryPpnGRARPWeVwU1wLlVbcOeq680//GPR3G2rMtKrxOYObErB3/XY6FBRjz9N3sXaEJyFv776/HLvn7Fr0lIclhzb+bfusLoo3drjfVNbMswvHF/b6e/l7uOXsSji7figX9vwuYD5xjYiKje8rqgNrCTfQLAil+P42By5mVf+9eRdCxfZ59NNmFoG7RrHurW+kj7ru3aBDf2aa4cv//9IXzy09EKYSDlQj6Wrj2iHI8Z2Apd23JhZHfoGx+JxY/2RyeHCQaALUg/9Z8dmDx7I/YnZahUHRGRerwuqP39xnbK/o1WCbz+2Z5KVze/kFWEF5fuQnmvVtOGAbh3ZAdPlkoa9vi4TsqWZFLaZh2+8NEuFJWYy85JzPt8P0xle8E2DPHFw6PjVKu3PujeriHef2Ig3n6sP3p1aOT03LEzuZi2cAtW/p7E1jUiqle8Lqj5+xrwwj3dUd5LcvpCAf7z/WGn15SarXjuo7+UvTyNBh3euL8X/H25ZhrZhAQYsWhGP6dN23/fcxYPzd+EtIxC/Lg9BbscBrX/Y1xnBAdwKQ53E0KgZ/tGWPxof3zw5CCnJXQsVolFqxLw4tJdKCjm1lNEVD94XVADgM5tGuBvw9oqx1+uP+H0Q/Xt/yUgITlLOX5ifGd0aBnmyRLJC7SOCsaHTw9Cn44Ryrljqbm4b94fWLQqQTk3sHOU0+bu5Bnx0eGY91AfvP/EQKX1EwB+230WU9/6Aycd9lolIqqrvDKoAcD9N3dAdJNg5fiNZXtQUGzGzztS8fVG+1IKo/q1xC39W1V2CyKEBBjxr4evwYShbZRz2fkm5BWWrbnnq8cT4ztDCE5AUUvnNg3w8TPXoWd7e3foyXP5uH/eH/ht15krXElE5P28Nqj5+ujxwj3dlZli5zKL8NLHuzD3833Ka9q3CMUTd3ZWq0TyEga9Do/e3gkv3NMdRoPzX4kHb+3otHUZqaNBsC8WzuiHexyWRiksseCFpbvwwtK/cL4GW8oREXkDrw1qgG1a/+Qb2yvHWw6eR7HJtsVPcIAP3ry/F3yNXEqBquama1rg3ccHoFGorZutR/tGuO3aaJWronJ6ncBDt3bEvIf6IMjfPt70t11nMeGV3/Hxj0dQUvb3n4iorhDumEElhEiIi4uLS0hIuPqLa8lssWLqW3/iSEqOw/sDbz10Dfpz9XiqgaISM46l5qBDyzD4cs00TUpNL8DLH+9C4qlsp/NNGgZgxm1xuK5rE3ZXE5FmxMfHIzExMVFKGV/da726RQ2wdVu9cE93+Dh0WU25sT1DGtWYv68BXWIaMqRpWPOIQCx5chBm3d1N2YIKANIyCjHrg78wfdEW/Lg9BQVl+/sSEXmrOrFeRZumIXh5cg8sXXsEvWIjMIXrpRHVeTqdwKh+LTG4WxMsXXsEX21IVrYD23MsA3uOZcBo0KFvfCSG9WyGAZ0ac4keIvI6Xt/1SUQEACfP5WHR1wex/VB6pc/7GfUY0bs5HrsjHn5GBjYi8pzadH3yXysiqhNaRwVj/rS+2Hs8E7/sTMX6vWeRW2Dv+iw2WfDd5lO4kFWEuQ/1gUHv9SM/iKge4L9URFRnCCHQvV1DzJzYFWtmj8D8R/piZN8WTrNEtyZewOvL9sBq5VZURKR9DGpEVCcZ9Lbxac9P6o41s0dgcDf77hK/7DyDxf9L4L6hRKR5DGpEVOcZffR4aXIPp90Nvlx/Ap/+fEzFqoiIro5BjYjqBV8fPeY82AexLUOVc0tWH8Y3f55UrygioqtgUCOieiPQz4B/P9IXLSMDlXP/Wrkfv+8+q2JVRESXx6BGRPVKeNm+oRFhtq3CpARe/mQX/tx/TuXKiIgqYlAjononqkEAFk7vh5BAHwCA2SLx3Ic7sXFfmsqVERE5Y1Ajonopuolt3bXypTvMFonnP/wLG/cyrBGRdjCoEVG9FdcqHItm9Eewv61lzWKVeP6jv7B+D8esEZE2MKgRUb3WsVUYFj3aD8EB9rD24tJdnGBARJrAoEZE9V5syzAsfrS/MmbNYpV46eNd+HlHqsqVEVF9x6BGRASgQ4tQLJ7hHNZe+XQ3XvlkN3ILTCpXR0T1FYMaEVGZ9i1C8faj/REaaFTO/bwzFRNfW89JBkSkCgY1IiIH7ZqH4v0nBiK+dbhyLjOvBM9+sBMvLP0LWXklKlZHRPUNgxoR0SVaNg7Cf54YiOlj42D0sf8z+duus7jr9fX4cv0JZOczsBGR+wkppetvKkRCXFxcXEJCgsvvTUTkSafP5+PN5Xux/0Sm03mDXqB/p8a46ZoW6B/fGD4G/r+XiCoXHx+PxMTERCllfHWvNbijICKiuqJl4yC8+48B+HpjMv7z3SGUlFoA2BbI/WPfOfyx7xzCgoy4oVcz/H1EOzQI8VO5YiKqS/hfQCKiq9DrBMYPaYMVLwzBXcNi0CjU1+n57HwTvtqQjAf+tQnp2cUqVUlEdRGDGhFRFTVpGIBpY+Pxv9duwPxH+uL6nk1hdOjyPJtRiMff3oqcfC7nQUSuwaBGRFRNBr0OfeMj8dq9vbB69ghMuam98lzyuTz8871tKCg2q1ghEdUVDGpERLUQHOCDqaNiMflGe1g7dCobM9/foYxnIyKqKQY1IiIXmDqqA+64Llo53n30Il74aBfMFquKVRGRt2NQIyJyASEEHr+jE0b0bq6c23TgHN5YthcZOcWwWl2/FBIR1X1cnoOIyEV0OoHnJnVDQbEZmw6cA2DbgurnnanwMegQGeaHxg0CEBXuj7bNQ3BL/1YI9OM/w0R0eWxRIyJyIYNeh9fu64ke7Rs5nS81W3HmYiF2H72ItdtTsHhVAia9sR47D6erVCkReQMGNSIiF/P10WPug30wql/LK7aYncsswmNvb8WcFftQUFTqwQqJyFtwCykiIjcrKCrF+awi26/MIhw/m4vvNp2CxWHcWmSYH56Z2A194yNVrJSI3IFbSBERaVigvw/a+PugTdMQ5dyt/VvhjeV7cCw1FwBwIbsY/3xvG27u2wJPjO8MPyP/eSYidn0SEamifYtQfPT0tZg6qgMMeqGc/2FbCv7xzjbkFbIrlIgY1IiIVGPQ6zDlpg74eOZ1iG0Zqpzfl5SJ6Qs3IzOX+4YS1XcMakREKotpFoIlTw7CLf1bKueOncnFQ/M3Iy2jUMXKiEhtDGpERBpg0OvwzMSuuGtYjHIuNb0AD83fhJPn8lSsjIjUxKBGRKQRQghMGxuPh0Z3VM6lZxfj4fmbcehUtnqFEZFqGNSIiDTmnuHt8PSELhBlcwxyCkyYsXgLjqXmqFsYEXkcgxoRkQaNGdQar0zpCb3OltYKi814ZslO5OSbVK6MiDyJQY2ISKOG9WyG2Q/0RllWQ1pGIV5Y+hfMFqu6hRGRxzCoERFp2MDOUXh4dJxy/NeRi3j320QVKyIiT2JQIyLSuInDYjCsZzPleOXvJ/Dj9hQVKyIiT2FQIyLSOCEEZt3dFe2a27egmrtiH2eCEtUDDGpERF7Az2jAnAf6IDTQCAAwma14dskO7l5AVMcxqBEReYkmDQPw2n32maAXsovx3Id/wVRqUbkyInIXBjUiIi/Sq0MEpt8WrxzvS8rEy5/s5kxQojqKQY2IyMvcOTgaI/u2UI437E3DW1/sh5RSxaqIyB0Y1IiIvIwQAs9M7Ir+nRor51ZvOY13v0lkWCOqYxjUiIi8kEGvw+v39UTXmAbKuRW/JWHZuuMqVkVErsagRkTkpfyMBsx76BqnZTv+890hfLvppHpFEZFLMagREXmx4AAfLJjWF80jApVzb32xH6v+SEYJZ4MSeT0GNSIiL9cgxA+LZvRDRJgfAEBK4N8rD+DWWb/g3yv348jpbI5dI/JSDGpERHVAk4YBWDi9H0ICfZRzeYWlWPXHSUyZ+wf+PnsjVv6ehGOpOSg1cykPIm9hULsAIiJyjegmwfjwyUH4+KejWL8nDcUme9fn8TO5WLQqAQCg1wm0jgpCTLMQtGsWio6twtC9XUMIIdQqnYguQ7ijOVwIkRAXFxeXkJDg8nsTEdHVFRSb8fvuM1iz9TQOnMi66ut7xzbC6/f1RnCAz1VfS0TVEx8fj8TExEQpZfzVX+2MXZ9ERHVQoJ8Bt/RvhfefGITPXxyKu29oi7bNQmDQV95qtvPwRTw0fxPSMgo9XCkRXQlb1IiI6pFSsxWnzufh+JlcJJ3Jxb6kTBxMtre4NQzxxbyHrkHHVmHqFUlUx9SmRY1j1IiI6hEfgw5tm4WibbNQAICUEh+sOYJPfjoKAMjILcG0hZvxypSeGNQlSs1SiQjs+iQiqteEEHjglljMuqsb9Dpbt2ixyYJnluzAVxtOqFwdETGoERERRvVvifnT+iLQz9bRIiWw4KuDWLL6sMqVEdVvDGpERAQA6B0bgf88MRCNw/2Vc5/8dBSf/XxMxaqI6jcGNSIiUsQ0DcEHTw1Cm6bByrn/fH8IK9ezG5Rqz2QyITs7u9JfxcXFapenSQxqRETkpFGoHxZN74eWkfb9Qxd9fRDfbz6lYlVUF6xYsQLh4eGV/nrnnXeqda+1a9fi5Zdfxt69eyt93mKx4I033kBMTAyCg4MxaNAgfPnlly74FJ7FWZ9ERFRBw1A/LHq0Px6evwnnMosAAHM/3wdfHz1G9GmucnXk7T7//HNERTnPKo6Jiany9dnZ2Zg8eTLS09PRunVrdOvWzen5oqIi3HXXXVi7di2mTJmCPn364OzZs8jKuvriz1rDoEZERJVqHO6Ptx/rj4fnb8bFnGJICby+bA98jToM7tZU7fLIi/Xt2xetW7eu8fVvvvkmOnXqhPXr11f6/MyZM7F27VqsWbMGw4YNq/H7aAG7PomI6LKaNQrE4kf7ISzICACwWCVeXLoLX29IhtXq+gXTia7m1KlTWLx4MW6//fZKnz9z5gyWLFmCe++91+tDGsCgRkREV9E6KhiLH+2n7ANqtkjM/+oAZizegtT0ApWro/rm+eefR+fOndGnT59Kn3/33XdRUlKCGTNmeLgy92BQIyKiq2rbLBQLpvdVWtYAYM+xDNzz5gZ8uf4EW9eoWlasWIGOHTuiYcOGGDduHM6ePVul6/bs2YPly5dj5syZEKLyfWv379+PoKAgREREYMqUKYiMjETz5s0xZ84cuGPbTHdjUCMioiqJaxWO5c8PwZDuTZRzxSYLFn59ENMWbkbKhXwVqyNv8uqrr2Lo0KF4/fXXsXv3bvTt2xcXL1684jVSSjz11FPo1q0bbrvttsu+7vjx4wgPD8eQIUMQGhqKN998E3FxcXj22Wfx3nvvufqjuB2DGhERVVmDYF+8cX9vvH5fL6fWtX1JmZj05gYsWX0YhcVmFSskb7B06VK8++67ePjhh/HDDz8gJSUFc+fOveI1P//8M3777TfMnj0bOt3l40tycjJSUlIwc+ZMLFy4EPfffz9Wr16Na665BnPnzoXZ7F3fnwxqRERUbUN7NMV/nx+C63vaZ3+aSq345KejmPDqb1i77TS7Q6mC8ePHIy0tDX/729+Uc7GxsejRowdWrFhx2essFguefvppXHvttRgxYsQV38NgMCAqKgoTJ05Uzvn6+mLKlClISUnBwYMHa/9BPIhBjYiIaiQ82Bev3dsLb07thYYhvsr5izkleH3ZXtz/1h/YdzxDxQpJa/z9/REVFVVhfFmrVq1w9uxZ5ObmVnrdZ599hgMHDuC5555DQUEB8vPzUVhYCAAoLi5Gfn4+TCYTACA0NBQxMTEVWt2io6MB2FrcvAmDGhER1crgbk2x8qXr8fcb28FosP9YOXw6Bw8v2IzH3t6Cz34+hn3HM1BSalGxUtKqkpISCCGg1+srfX7jxo0AgBEjRiA4OBjBwcG47rrrAAAPP/wwgoOD8eabbwKwtdClpaVVuIfFYvveMxi8awlZ76qWiIg0KcDPgAdv6Yhb+7fCe98l4rdd9ll8Ow9fxM7DtoHiPgYd4lqFoUtMA3RoEYY2TYPRPCIQBj3bDeqDlJQUtGjRwumclBKHDh1C27ZtERgYWOl1s2bNwv333+907vDhw5g6dSqeffZZjBw5Ei1btgQA9OvXD+vXr8f58+fRuHFjp9cDQJs2bVz5kdyOQY2IiFymScMAvHZvL4y7LgOLViXg0Klsp+dLzVbsS8rEvqRM5ZyPQYdWjYMQ3SQYraOCEODnA4NewKDXQa8TMOgFjAY9woN90SjUFw1D/BDgxx9f3iY9PR29e/fGjz/+iO7duyvnv/76ayQnJ2PBggWXvbZ9+/Zo37690zk/Pz/luYEDByrn7777bsyePRvvvfceXnnlFQC2LaWWLFmCQYMGIS4uzpUfy+34nU5ERC7XJaYhPnhyEHYfu4i9xzKwNykTCclZlXZ9lpqtOH4mF8fPVD4+qTIBvno0DPVDWJBRCXR6nYBOJ6DX6WA06BAU4INgfwOC/H3KHvsgNMiIRqF+iAj1Q3CAz2XX4iLXa9SoEUaMGIH+/fvj1ltvxdChQ3HixAksXLgQgwcPxvTp05XXrl27FgAwcuTIar9Px44d8cQTT+CNN96AyWRCixYt8NlnnyEtLQ1ffPGF1/2ZM6gREZFb6HQCvTpEoFeHCACA2WLFkdM52JeUgYPJWThxNhep6QWoyeTQwhILCi8UIOVCzXdGMBp0aBTqh0ahfggJ9IGf0QB/Xz38jHr4Gw3w89XD36iHr1EPXx/beb+yxzqdgAAgBCCEgBC2zxse5IuGIb4w+lQ+1qo+E0Lgww8/RI8ePfDJJ5/ghx9+QExMDJ577jnMmjXLaezYI488AgA4efJkjd5r3rx5aNmyJRYvXoyMjAz069cP27ZtQ2xsrCs+ikcJd6zSK4RIiIuLi0tISHD5vYmIqO4oKbXg9Pl8JKfl4URaHlIvFMBktsBskbBYrTBbJMwWK4pNFmTmliArr6RGwc7TwoKMaBjia2u9C/NH00YBaNYoEM0iAtA8IhAhAcar38SLSSmRX2RGbqEJuQWl0OsEGoX6IizIFzqdd7VouUJ8fDwSExMTpZTx1b2WLWpERKQaXx892jUPRbvmoVV6vcUqkZVXgoycYlzMLUFugQkWq4TVKmGxSlgsEhYpUWKyIL+oFPlFpcgrKkV+YSnyi8zIyivBxZximMxWt36u7HwTsvNNSDqbV+nzwQE+aNYoABFh/ogMs4W5iDA/RIT5ITzYF74++rJfOvj66OFj0EGnE7BaJaxSKp/ZapWAENDrAJ0o7/oVteres1glikvMKCyxoKjEjGKTBSWl9sfFpRYUFpmRU2BCToEtiCmPC0uRW2BCXmEpLJUkar1OOI01bBTqh8hw++ePLPs90M/gdV2U7sKgRkREXsPWMmP7Ad+hhveQUiKvsBTp2cVIzynGxexi5BeXoqjEgmKTuex3C4pMZpSYrCgpLQ8rtpa9EpMFVilh65CSsFoBCQmzxXbfqsgrLMXh0zk4fDqnynULAVS1E0wIW3BzeiwAAQG9XiiTNPQ6nTK2r9hkRmGxxa1LqFisEhdzinExpxjA5T+7TgD+vgb4+xoQ4KtHgJ8BfkYDjD46GA16GA06+Bh0MProYNDrnL82ZQ+k/WHZY1n29RDKmEa9w6SV8q+XhHS4FyqcK39KwP511QkBXVk3ePlrrVJCWm2/Z+aV1Phr5q6uz1xfX9/gmJgYl9+biIhIq6S0hZHybluLRcJstcJstqLUYoXZbGsRq090OgEp4ZUbortKcU4apNWcJ6UMqe617gpq5wAEAEhx+c2pMuWJOEnVKuovfv3Vw6+9evi1Vw+/9uqp6de+BYBCKWVUdd/QLUGNPEsIkQAANRmkSLXHr796+LVXD7/26uHXXj1qfO25FDQRERGRRjGoEREREWkUgxoRERGRRjGoEREREWkUgxoRERGRRnHWJxEREZFGsUWNiIiISKMY1IiIiIg0ikGNiIiISKMY1IiIiIg0ikGNiIiISKMY1IiIiIg0yqB2AURERHR1QggjgIDLPF0spSz2ZD3kGWxRqyOEED5CiLVCiNZq11JfCCF6CiF+E0JkCyEOCyHeE0KEqV1XfSGEaCuE+K8Q4oIQIkMIsVoI0VntuuoTIUR/IcTLQojBatdST0wEkHWZX9NVrKveEEL4CyH+LYRILfu3/1chxBB3vidb1LyYEEIAaA6gK4BnAAxQt6L6oywQbAbwBYAVADoBeATAcCHENVLKDDXrq+uEEF0AbABwFMBrAEwAHgWwRQjRS0p5RMXy6gUhhA+ADwF0LDu1Qb1q6p2/ATh3ybkkNQqpT4QQDQF8DyAOwMcA9gOIAdDAne/LoObdWgA4BcAK4LzKtdQ3iwC8L6V8rPyEEGINgF8BvAjgsctdSC7xPIBvAEyVUloBQAixGkAqgBlg64InTIUtLHS82gvJ5bZJKU+qXUQ99DGAWACDpZT7PPWm7Pr0bhcAdAMQDmC+uqXUH2Xdm9cCeNPxvJTyNwC/w/a/XXKvVwA8Vh7SAEBKeRa2LqDWahVVXwghggG8DGCVyqUQeYQQoieAWwDM9WRIAxjUvJqUslhKuU9Kmat2LfWJlDIbwL1SyspaMfcBiChrIic3kVImSCnzHc8JIWJh64LYo05V9crTAEoBfKtyHUSe8gRs3/Pve/qNGdSIakBK+dllnmoCwAIg/zLPkxsIISJg65bIAPCeyuXUaUKIprD90FoAoETlcuqriUKIQ2WTaL4q+zMh9+oC4AiAcCHEKiFEphDimBBiirvfmEGNyEWEEAYA/QH8KaXkDzAPEEI8KITYAeA0gFYARkkp01Quq657FUA2GIjV9CJswyyeB9ADwDYhRCN1S6q7hBA62CYNAMAvAA4DeBa2vwdLhRCj3Pn+nExA5DozYWtR4xg1z8mCraszG0BPAGOFEH9JKc2qVlVHCSE6AZgCYJqUslAIcbk1vci97pVSrgAAIcR6AIdg+/fnKVWrqrsaA/CDbXb/ICnlJgAQQqyE7d+fZwGscdebs0WNyAWEED1g+1/uFCnlFrXrqS+klF9KKR+UUg4HMAy2JVI8PoakHpkLIBnAR2oXUk+thO0/g5+Xn5BSHgawG7Y11sg9yv/jt6M8pAHKeOUvAPR35xqaDGpEtSSEaAPb/6ZmSSn/q3Y99ZWUcg+AZQDuFUK0U7ueuqZsUc+RsIU1XyFEEICgsqeNQoggIYSfagXWA1LKIinlOSmlvOSpUwCaCiFC1KirHiifsHeskueSy36PdtebM6gR1YIQogmAdQA+kFL+W+16CAfLfu+qahV103Vlvy8BkFf2q/yH1LNlx/9RoS4CfAFI2CYykYuVjTlOhq0181L6st/dNtyCY9SIakgI0QC2gaXfwLamFHmIECK2rMvnUuWz3057sp56YilsCzo7CgOwGrYZt0thW9uR3EQI0UJKmXLJOQHbosPHpZQF6lRWL2wFMFoIYbhkDGxs2e/JlVzjEmxRI6qBsm6ftQA2AXiqkq4IcpOyAezrhBC9LjkfBOAeACmwrWdHLiSlPC2l3OT4C8C2sqfLnzuqZo11WdkSNDuFEN0veeoO2LrdOAvXvT4DEAhgUvmJsvUy7waw7NJ1HV2JLWpeTghxR9nDLmW/jxRCXACQLqXcqFJZ9cE3ABoCWA/gdtt/ap38yP/dukfZbMNXYdvX8xvYlinwAfAAgCgAt3B5FKqDLgL4Gbbv++9h+75vA+Bx2PZZfUe1yuqHXwB8DWBx2ZCXIti2USuCrevfbQQbArybEOJyf4AbpZSDPVlLfXKFr3u5aO7F515CiH4A/gGgD2z/090O4Hkp5V4166pPytbuSgfwipTyZZXLqfOEED6wzWyeDKAdbBuxrwLwJpekcT8hhB62YS73wLZcxwYAj7t77UYGNSIiIiKN4hg1IiIiIo1iUCMiIiLSKAY1IiIiIo1iUCMiIiLSKAY1IiIiIo1iUCMiIiLSKAY1IiIiIo1iUCMiIiLSKAY1IiIiIo1iUCMiIiLSKAY1IiIiIo1iUCMiIiLSKAY1IqqThBDPCyH6ql0HEVFtMKgRUZ0jhBAAbgWwR+1aiIhqg0GNiDRFCLFGCHGylrfpBiBRSllS+4qIiNTDoEZEddGdAL5UuwgiotpiUCOiOqWs23MYgF/VroWIqLYY1IiorukFYL+U0qR2IUREtcWgRkR1zZ0AVqpdBBGRKzCoEZFqhBADhRB/CiFyhRDbhRBjAYha3E8AGAJgfTWvGyKEWC2ESBVCZJdNaIi55DWThRBSCNHrkvOumPxARFQpg9oFEFH9JIToCWAdgBIACwCkAfgHgH4AztTwttcA2CWlLK3mdR8D+A3APAAFAGYA+FMIESulzK1hLUREtcagRkRqeQ221rO+UsrDACCEWApgL4CAGt5zPGrW7RknpSwsPxBC/AYgGcAkAO/WsBYiolpj1ycReZwQIhDATQA+LQ9pAFA2AeBCDe+pA3AtgD+qe+0lIU1XVkMRgE41qYWIyFUY1IhIDeXjv/a58J79AWyTUpqre6EQwq9sy6ntsHXFFgDwL/tFRKQadn0SkRrKJwxYXHjP8ajBIrdCiGawjU9rC2AVgG8BHAewzIW1ERHVCIMaEakhqez3eFfcTAihh61F7fEaXD4NQAcAA6WUmx3u+WkVrw+swXsSEVUJuz6JyOOklPmwzficUtaiBUBp3epYg1sOArBZSlmTFrog2Lo6/3Kooy0qdnuWzyQNdXhdKGz7ihIRuQVb1IhILS8B2ABgpxBiQdm5yQB8YRvIXx3jASyvYR0/w7YcxwYhxArYAtr0Sl53vOz3qUKIbAANATwPwKeG70tEdFVsUSMiVUgptwK4BUAqbIHnRgB3wbY8R5UJIQwA+gDYWsNS1gKYA6A9gJkABgO4B0DGJa/bAdtSHTfBto/oiwAWAfiphu9LRHRVQkqpdg1ERDUmhBgGYKSU8p9q10JE5GpsUSMib1fTRW6JiDSPQY2IvJYQwgdAD9i6JYmI6hwGNSLyZtcD+E1yDAcR1VEMakTkzQYB+ELtIoiI3IWTCYiIiIg0ii1qRERERBrFoEZERESkUQxqRERERBrFoEZERESkUQxqRERERBrFoEZERESkUQxqRERERBrFoEZERESkUQxqRERERBrFoEZERESkUQxqRERERBrFoEZERESkUQxqRERERBr1/5O7eAtGFZHRAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "distances = pairwise_distances(rclustering.input_data)\n", "distance_rclustering = cluster.Clustering(distances, registered_recipe_key=\"distances\")\n", "\n", "fig, ax = plt.subplots()\n", "_ = plot.plot_histogram(ax, distances.flatten(), maxima=True, maxima_props={\"order\": 5})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a handy rational for a first guess on a suitable radius cutoff, we can use the first maximum in the just plotted distance distribution. For larger numbers of points, the radius can be usually smaller than for poorly sampled data sets. In this particular example, we could start with a radius cutoff of $r\\approx 0.3$ considering that we have a low number of points in the reduced data set. With this radius fixed, we can than vary the common-nearest-neighbours cutoff $c$ to tune the density threshold for the clustering." ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2019-09-19T10:35:37.964861Z", "start_time": "2019-09-19T10:35:37.962263Z" } }, "source": [ "### Parameter scan" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Blindly starting to cluster a data set in a happy-go-lucky attempt may already lead to a satisfactory result in some cases, but let's tackle this problem in a more systematic way to see how different cluster parameters effect the outcome. A scan of a few parameters shows that it is difficult to extract the three clusters at once with one parameter set. We also apply a member cutoff of 10 to prevent that we obtain clusters that are definitely too small." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:36:40.981826Z", "start_time": "2021-10-02T14:36:37.603805Z" }, "scrolled": true }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "df16107008164ca69250ff066ead6a7d", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/101 [00:00\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
n_pointsradius_cutoffcnn_cutoffmember_cutoffmax_clustersn_clustersratio_largestratio_noiseexecution_time
410000.3410<NA>30.6650.0870.026910
710000.3710<NA>30.6560.1500.027577
810000.3810<NA>30.6520.1820.027540
910000.3910<NA>30.6500.1980.028366
1010000.31010<NA>30.6450.2100.027894
1810000.31810<NA>30.6200.2980.030822
2010000.32010<NA>30.6140.3260.031672
2110000.32110<NA>30.6090.3360.032149
2210000.32210<NA>30.6020.3600.032596
2510000.32510<NA>30.3410.3990.031528
\n", "" ], "text/plain": [ " n_points radius_cutoff cnn_cutoff member_cutoff max_clusters \\\n", "4 1000 0.3 4 10 \n", "7 1000 0.3 7 10 \n", "8 1000 0.3 8 10 \n", "9 1000 0.3 9 10 \n", "10 1000 0.3 10 10 \n", "18 1000 0.3 18 10 \n", "20 1000 0.3 20 10 \n", "21 1000 0.3 21 10 \n", "22 1000 0.3 22 10 \n", "25 1000 0.3 25 10 \n", "\n", " n_clusters ratio_largest ratio_noise execution_time \n", "4 3 0.665 0.087 0.026910 \n", "7 3 0.656 0.150 0.027577 \n", "8 3 0.652 0.182 0.027540 \n", "9 3 0.650 0.198 0.028366 \n", "10 3 0.645 0.210 0.027894 \n", "18 3 0.620 0.298 0.030822 \n", "20 3 0.614 0.326 0.031672 \n", "21 3 0.609 0.336 0.032149 \n", "22 3 0.602 0.360 0.032596 \n", "25 3 0.341 0.399 0.031528 " ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Get summary sorted by number of identified clusters\n", "df = distance_rclustering.summary.to_DataFrame().sort_values('n_clusters')\n", "\n", "# Show cluster results where we have 3 clusters\n", "df[(df.n_clusters == 3)].sort_values([\"radius_cutoff\", \"cnn_cutoff\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The summary shows indeed that we got clustering with 3 clusters (as desired) for some parameter combinations. Apart from the number of clusters, it is, however often also of interest, how many data points ended up in the clusters and how many are considered outliers (noise). In this case we expect 3 clusters of more or less equal size (member wise) and we may be interested in keeping the outliers-level low. In the results giving 3 clusters, in one case the largest cluster entails one third of the data points (which is good), but the noise level is around 40 % (which is most likely not what we want). Let's plot a few results to see what is going on here." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:36:41.354117Z", "start_time": "2021-10-02T14:36:41.024906Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Cluster attempts in comparison\n", "fig, ax = plt.subplots(2, 2)\n", "Ax = ax.flatten()\n", "for i, pair in enumerate([(0.3, 4), (0.3, 10), (0.3, 20), (0.3, 25)]):\n", " distance_rclustering.fit(*pair, member_cutoff=10, record=False, v=False)\n", " rclustering._labels = distance_rclustering._labels\n", " \n", " _ = rclustering.evaluate(ax=Ax[i], ax_props=ax_props)\n", " Ax[i].set_title(f'{pair[0]}, {pair[1]}', fontsize=10, pad=4)\n", "\n", "fig.subplots_adjust(\n", " left=0.2, right=0.8, bottom=0, top=1, wspace=0, hspace=0.3 \n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "None of the above attempts was able to achieve a split into 3 clusters as we wanted it. One could now try to tinker around with the parameters a bit more (which is probably not very fruitful), or resort to hierarchical clustering. As we see in the plots above (lower right and upper right), two different parameter pairs are leading to splits in different regions of the data, separating either the lowest density cluster from the rest or separating the two denser clusters. So why not apply both of them, one after the other.\n", "\n", "Before we do this let's have another close look at the cluster results we obtained. Using the `summarize` method of a cluster object, we can visualize a summary table in a 2D contour plot, to evaluate a few quality measures versus the input parameters *radius cutoff* (*r*) and *similarity criterion* (*c*):\n", "\n", " - number of identified clusters\n", " - members in the largest cluster\n", " - points classified as outliers\n", " - computational time of the fit\n", " \n", "Let's also throw in a few more different values for the radius cutoff into the mix." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:37:21.644963Z", "start_time": "2021-10-02T14:36:41.355435Z" } }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "46efc8e4f306459f94dc4de1d4eaae33", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/9 [00:00" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Computing time\n", "fig, ax = plt.subplots()\n", "contour = distance_rclustering.summarize(\n", " ax=ax, quantity=\"execution_time\",\n", " contour_props={\n", " \"levels\": 50,\n", " }\n", " )[2][0]\n", "colorbar = fig.colorbar(mappable=contour, ax=ax)\n", "colorbar.set_label(\"time / s\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the *time vs. r/c* plot we can see how the total clustering time depends in particular on the neighbour search radius. Larger radii result in larger neighbour lists for each point, increasing the processing time, so if one has the choice, smaller values for *r* should be preferred." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:37:22.252459Z", "start_time": "2021-10-02T14:37:21.941625Z" } }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAqwAAAG2CAYAAAC6Z9RQAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAABcSAAAXEgFnn9JSAABy7klEQVR4nO29ebgtV1nu+34hHSFECEQPSCQQjoEEaR/DEUVADOeANF4vHtCLKCCK9MaDGDggcC4KCJ6Agg0SPPY0ClEEAkFBQidIdw0EMQSDQEgAE0i3s5rv/lE115qrZjWj+caoUVXvj2c9M3vWqFG192Sv9dtvfeMboqoghBBCCCGkVA4b+wYIIYQQQgjpg8JKCCGEEEKKhsJKCCGEEEKKhsJKCCGEEEKKhsJKCCGEEEKKhsJKCCGEEEKKhsJKCCGEEEKKhsJKCCGEEEKKhsJKCCGEEEKKhsJKCCGEEEKKhsJKCCGEEEKKhsJKCCGEEEKKhsJKCCGEEEKKhsJKCCGEEEKKZtLCKiJHiMjbROSklmMiIk8Skc+JyHUi8iEReUDHPA8QkQ/W4/5VRJ4sIpL8N0AIIYQQ0kOf6/Scc4yIvEJELhORq0XkLSJyu4S3mZzJCWstoieKyEMA/D2AB3UMfTaAVwH4IICnAbgKwNtF5P6N+e4H4B0AbgBwJoB3Afjt+nxCCCGEkKx4uE7ruQDeAuCnAfwxgF8GcCqAC0Tk2xPcbhZEVce+By9E5LsA/BuAXQBfBXArALdT1S+sjfkOAJcCeJmqPqd+73AAnwFwLYC7q+pu/f4nAHwTwP1Vdad+7xwAPwHgP6vqv+f5nRFCCCGEuLlOz7k/CuDNAB6oqu+q3zsZwGcB/I6qPjXRbSdlcgkrgMsB3A3AzQH8ZseYBwI4EsDZqzdUdRvAywDcBcAdAUBETgRwVwCvXMlqzUsAHA3gYba3TgghhBAyiIvrdPFQABeuZBUAVPViAG8E8MipljxOTlhV9XpV/aSqfrNn2BkAvqiqVzTe/0j9es+1cQDwsca4fwHwrbVxhBBCCCFZcHSdLs7AptcAlQOdAOA2UTc3EpMTVkduD+DzLe+v3jtlbRwAfGF9kFZ1Ep9fG0cIIYQQUjQicgSAE+HmQJPi8LFvIBHHAfhyy/vX1q9Hr407tKpnbRl7dMv7G4jIhR2HvhvAdQC+6DIPIYQQQvY4EcC1qvqfcl1QRP4awMkGU52Ijp/9qnqawfxd3LR+vb7lWNOBJsVchfUmqAqVm6zqVI8cGLcae2THMVcOO/Jw3PTkW8qp6Frbph2lJF3v96Cdc3le23f+qbPx53Pw93lwXWLfMWz8mW5M3Xd84NyhP39Fy/GWz77t/w6un23rNVrnsz13cy53XK/ri8V61c6/mh333Dq+Y5Luud3p+j2G/NY77ydgsu7fW89kkb8Xl3G91w/AdT73cY6I7XX9xu6P2969DmH/b4vi5COPPPzUk+8Qvpj+4n+9HDfcsH3I8J58uEn96uJAk2KuwnoN2n9vR9SvVw+MW429uuPYAbr+tSQiF558Szn1k79yFHTrRu3nbne8v9V+W7rdXcWx23FO1/u6037tznl25llB0vz9Nn+fO9uHOx2rfn3wz3Rn90adx/uOVccPXmu78Xmt/7o5FgC2dzc/39ZxHf8/2NHNsVst57fN2TZuu+1cx2tsnucuoS7zhc3rPrZr3q2u9zvmbptnq+Of3F3X3O4Yv93iBV1jt3ocYsfznK7x1TntJ+10vL+1231jnee0PmA7yA0OYwBgpzP/aFwTO4NjtmV4DABsyZbTuG1sO42r5rzBadwO3K69BXd3214b+7VrP4bt3WuzP6E8+Q7fjk/+f78efP5dv+csfObTX744cZLaxTX1q4sDTYp5GghwJYDjW94/rn69am3cESJybMfYq1reL5IuySTl0BRSH/pkNQXWsmqJj1SSvPTJJ6lwkdUxcZXVFGx7iC3pZLVIy8WBJsVchfUytNegrAqNv7w2Ds2xdc/Wk9FeB0sWRDNB9Tq3JeF0Pzfur2ZsumqNZbrqQ2p5JunoSldD6EpXLXFNV10YM111xTVdJXmpW3hegX4H+kq+O7Jjrt/NzwNwMxFpxvGn16/n16/vrF9/oDHurqhqPN4JA3zLASxh8joNYtLXWLndmC+DSIaSMl1dcnLbVg5gSV8JgS+W8mlZDuB0vQWmqz7lAOWg2N09FPw1Qt1tk/MA3KvuGLDO6QAuUtVLR7inaMr4KWTP36IqLj5z9YaIHAPgiQA+qqpfAQBV/VcAFwJ4hojcqB4nAH4RwBaqbVrj6Cr07xGUkPpVX7rqVwlxxVqUST8+Qu1bv+ozNqQWtYvuelf/H/h99aupsUxXXZlbuspyAFPORbUz1qNWb4jIKQAeDOCtY91ULJOM30TkEfV/3qV+fbCIXA7gClV9r6peJiIvBXCWiFwH4NMAHgPgJOxvFrDimag+wLeKyF8BeACARwL4n6r6jcS/lQ26ZLUPpqikFEpJYoG09+Kz4Crl3F0LrnzwSVfDFk75n9NFSLoak8hapquuuJYDWMN0tTyGXKcec18AJ6jqm9ZOfTOA9wN4lYjcBlXHgKeg2j3rpVluPgFTNZ03Nn79qvr1vQDuV//3c1B9OE8F8HgAH0e1r+571k9U1beLyI8AeCGAV6Lqm/YkAL+b4sYB/84A1Tn+P3wpsmROTLUcwLdDgM8cPmPbEtMuWW0baymrfeRKV13KAVyw7AwwBZiuZsXFdV4A4L5Y67moqjsi8iAAL0b1xPhoVKWQZ7bsADoZJmk06tA0st6t6uz6a2jsOwC8I/rGyKKJqUP1YWihlOuCq1yMseBqqulqKixKAXwJa33l35aqj6mlq66MWQ7gimu6WqKsqu5ieye881P7XkQh8zi5zv063v8WgCfXX7OgnOd3C8F6oZV1ispUNg8+HQRSreRvm7fUBVdTTVd9iS0H8Pm9pCwFCJHVPvrEc07paunlAOwMQMZk/J9EhCwAn/TVJw3d2FwgopWWDzGbBXhfy1MoSxDsFRYyHDtHbLqaS1atSwHmmq5OgSmnq6RcGKdNAMvuAGR5cDW/HaWUA8QutoptY2W9QYB1KUD/tfpvfoxdrYDxeq+OtatV2bKq0J3ro84n9vAnWUZCWlkluQ+2tCKENLCqXe3CXHITpKtjyepYlC6rmmHDBzIdmLBOmL56U9aiEkJyY7lBAJA/XR2Lkne2spRVV1HdUdbKkk1oNZkITVdZDlAuMdu2jk2uLVnbaFvYReJJsXisTUBzlgN0njOjdLXkUoDcslqMqOoudre/FXU+sWe6P3EJmQk+C7JSiuaYHQKsruM7z1gdAnx6sMbg2nvVdbGV9QYBIbWrobLala5aiyowD1l1hZsDkFxQWDNQSu0qyYdP26o+fAQ1V//VnIu4Smo55Yt/d4PN8W1zuLazyiWr1l0BQltYlSCrPjWrpcuqS7o6jwVWZCrQlgqmrxyANapp2N1JL2NWMhsqjilS2pJaSaWilA4BY2Apq6EdASir8ZTcb7WYcgBSLLSeGUKZnS59Ejq1cgCLHqwpmXJ6O4R1utqG9eYAvdcyllVXpiCrbF+VAN0FtsJ3umINaxrK/okyB2b8Q3Fp5EhfQ3EtBxhzsRVJw5TEO2e/1Vh8alZdoax2XJfpKnGAURwhBvQtnAo91ieXlnWkPqv2uQnBuMRuGBBCW1qaM10tnZIXWPksrqKsktKhsI4IF1yRVJQqlmxp5c4Yyal1H9XUhJYDDNWvzqF11RRktVh0F7IdsdMVSwKSwJ8ehEyctnKA1nEe5QA+9atLWHCVmjEWdKXe2apJisVWISxBVn0YY4HV3rWZrhIP+JOGkEIYa8EVsae0utK2BVcpmPpiq9JldUzYb5WMDYWVkIxYtbTqv4ZHTeqMHtGnTHotE9BcmwZMhZzbr/alqyk6Alhjna4SMiVYRLkwlEldciyk1HrBlUU5gM91fVpadV4vodhNdW6Xa1k+6vdZcBW6o1UIpXUUaGPMdLX0rgBA6eUACtm6Jup8Yg+FtVD6Ng0g47OzHf9Xx2dL1i6a9aup0tWueX1STa/ree8SlXLuMhJRyw4BMf1XLclZuzp1ltbCalsPQSl+ZA1aESEJcZVSi/rVrjlyL7aySFd9mOOir9CU1nXDAKd7KDRdJfkYU1YJacKEdYJwJ6s8WKSo1viWA3TJau7eq6lqZX1lNXW6GiKaoQmupdS6pKvWsppzG1Ygb/3qHDYIWLSs6i5kO+I+2NYqCeX9RF4I7ME6H9xTVNv2U67trFyxSCpL3451qriUA4Smq20i2pRQlzEHx/dfOLes5qTknqvWZQCE5ITWRMgIuEpuTDmARbraxRwfw+fApUOAS3LqMqZNVptSm1tWhxZLhcrqELnSVUtZLb1mFeBuViQvFFZCHNjdcRO0kA4Bro/c18eFpqtdsmrRGWDppOoOEJquDo2xltVUqerQudW1w3e1csGyldXSZHWKiCrkhmujzif2UFgLJKZDAOtb3Wn+Wa1L6Xr9alNW14+tJ6VNWe061peurqeiKdLVkhijndVSCFlo5dL0f2qymhOXdNWyhZWLrPrsYpVKVn3S1SLqV0mx0G7I7AiR9lyy2uRAamrUe9W3FMA3XfXtDlDK5gQltrMKuUbz92GRrrp0BGgfEymbbF21gVXNKmWVzA0KK9mj5HQ21b31CamrrDZxF9mwVlbr5QBLfmTPOtp2mulqyEYCpcjqVNJVF6xKAeYoq4S4UK6hzJiYDgElS6U1uX+vfW2seo8VtLNV6nSVpKWZnjbrVy3KJYZk1K3F1TRkNVf9qutiq1jGlNWUFJeuqkK23eqDu84n9vCnUmaGZDXlDldT2pZ1qmLumrxOFYvNAqZAiv6rLh0CfGmmpxbpapNNoR1fVl1wkVXXDgE5cF1oNRYsBSBjM00rWChDEjdVyWtSwu+jrytAavF0LQfwOW/ppFzIFTp3U4qH0lULfNNVH1l1kUwrWbUoBXCRVat01XKxFSFLZXwzWBBjpqtTIaesuraqSkHOR+6+5QA5rh2Lz737CGWqna2a6WqKxVZD6arLo/5QSpNVi1KA0phj7Wqx6aru4rAbros6n9hDYSUkERa1rf3zp5HBOdWvppDVUEntuo5Lshorq234pqtzorR0NXc5AGWVTBEKKyEFMyd5zI2zWDqIaqykdl0rhay231djzqDOAe0XYrqaHut0NQWUVZIaCishEaTuEBA7h+Uj+VLaSLnch9MiKCNRdVlM1XatkI4ALrIaUgqQslwgJ1YLrZiuVqTYzcpPVmfyf0xiAoWVFEOp9at9La3c5zCQUsMSA0v5DOkQEHp9C1nNJapd12mbO6esxuxoFUJJC62IO2P3XB21j6sqZDvi+mxrlQQKayZieq8ugRyy2r/y3+36Fm2rQjcMcJ1jb0xAuuq7u5X59SNX88fK6uD5EfO7iGrbuLZ6VBdZbb0Hhx2tfLBoP7Vkcm8UMHbfVZYCkBhoUYUw1CFgzi2tUt+7bzcAi+4BFqUCqepX55qu9slmaaJanTM8LkZWQ0U0ZFerOcFWVn7MLl0lxTJdyyGzIKWsmoinwQ5Xfcmra6Lq2381pJVVyenqWLKaQ1S7xlrL6hjpammLrUraKKBkxq9dHRuFbF0fdT6xh8KagRLKAUrc5SqFrIZI6rqUhm4YsH6sT2RzlANYlgL0UcruVjFlBJRVl3H84ZuCOZQDMF0lORnfpMgiNwywlNWYJLU3QXVMV0PrWvsE1VUgm3P0yWpIUmrdGSB3p4EQqQTKk9XSmGu6ynKAcdNVyirpg8JKslKKqPrO576gyj5dtegOEFIKEEqq3a0sCZXVYAGOlNCppatTlNU5M5V0tRhUgRsi/sz4VCIJFNYJMOUFVSmwElWLdLV/fvt0df2Ya7oaKqt951mXA4TWr8bUro5NTCnAmAyJpouslkhpvVetygFS9F3lJgFkDGhCqYls0zMnLMQ71UIqi9rV3msmTlet61ZDZdW6JIG0kyNdTUlp6erUZHUsUQVmnqySoqGwkiyUIKvuvVbD0lXXutYU6WoXlEQ7xioHGIu2cgCLdHWuW7AuQVZ98UlXKcJkCArryFgsuDKRwcLLDlItrBqa2yJdDSW2djVFKcBUSLXYyopSeq5aUuKOVrnSVQtZLbkEYO/6CykFkMidroQ1rEko21JI8SLpQszvIaWo+p7jmq5uHotvZVUKucsBQutXrZliumq92KpPNnPLakmlAJRVQvIwfRuaMEtsZ+VDqKz6iKp1pwHiT07x7MM6Xe2SVet0dWysZNUVymrHPAXJqm+6ShkmLlBYF8CYmwaEpquxGwCE0Dy/bzOAMXuvkn5C09Ac86WQ8xytrCyFs4upLbKyqlkdYu6yWiRsa1UkFNaJU3LJQMi95RLV5nX6ZHXzeg15zVAO0LsYawJ9T60JEb+Q2tUuWQ0pA4htYzXWFqx9lLbIamqy6pKuzh2mq8SVcm2HFC2jKfCVVV9RdZ3fT0jdk1efdLVvwZWL6C51wVWQYBrJqo+oAvFlALHtqXJswzpHWSXdsBSApGRZRlQQc69f9ZFtH1FNIanrcw7Jqk+ZQI50NScpFlyFbBjQLYyeguk5T/+13cd3CWgqWY0W2w7pzLVBQGmyuqR0lUJJSoLCSmaLr6wOjw2XTB9B9Wln1SaKU9jZaopYJattlCCrPrWrQ7LKZNUGl/pVH1L2XPWlaBlWhWxH1B+zhjUJFNYRcElXXRJKlzEuC66cruWRgpaQrprsiOUjjh4yu7GlqodgDonvGKUAS9jdKncZQBc+tahjyKrr4qycsmqJS7pKCEnDPH6adCAi3yUifyIil4rIN0TkXSLy/Y0xIiJPEpHPich1IvIhEXnAWPdMpoGPzFqlqxui2xDFVLIaWgowRI52VpblALH4tKTy2RwgdvtVV1nd2tVoWd3S3ey7WLmkqySeWXQHIEUzW2EVkdsC+ASAewB4OYBnAdgGcIGIPHRt6LMBvArABwE8DcBVAN4uIvdPcV9W6eocKC1dtdq5yqfm1Cdd7SNUVoeYSilAStEspRSg9VqRHQGsWljl3hQAsE1XLcsBctevura04kYBHqgCN2yFf7EkIAlzNqMXAjgE4N6qeiUAiMgfAHg7gN8C8Dci8h0Angfg11T1OfWY1wH4DICzReTuqnb/1LdcaGVVDmDN2LKdSoKtZHZqO1stiVLS1TZi21L5LLJqvb5BGYAL1rJqWbuac7GVa+1qKbLK7gAkB9OIT8K4B4APrGQVAFRVAbwNwG1F5HgADwRwJICz18ZsA3gZgLsAuGPG+wWQX/jGFkwXYjcECJkzVf2qFVa9V1PWmKaY26KMwGJHq1Tpqg/REpoxBXJNV12wlFVXSpPVLRxyktVtHCpOVgkJpXxbCeefAXyPiBzWSEnvBOBLAP4DwBkAvqiqVzTO/Uj9ek8An7a4mdzpaumk2BLVvc/q5p+fXweA/PWrZBwsBDlV7Wob0Umsp8SOka664CqrpbWxstzVKqQjQA5ZnUy6GtMlgCRhzgnrWQCOA3COiJwmIieJyJkAHg3gCXXaensAn285d/XeKXlutWIOImqNa7oaI6vD50yvZ+qKlPeTcocti3TWRzYtygFypqs+xCaxsYyRrrqQU1Zzk0NWCcnNbA1JVb8gIncH8CZUaSsA/DuA71PV1a+PA/DlltOvrV+PdrmWiFzYcehkYP6bBKQil6z67Gw1dK4PpcltTiw7BPjIZspygDZi09UuckpoV/1q7nQ1d92qZQsry7rVUph1ukqKZLY/MUXkaACvBXBrAI8D8EgA/wrgDSLynfWwmwCt3wVX382OTH2fqRhjwZUrluUAKZPV1nkiHtvHLLgaY7FWTIeAmITUd4er2LEWc6RKV1OVA+SqX7VMV52ul3mDgFI7AviSQyRDrqHganuyz2wTVgAvAnAfAHdS1csBQET+CsCHAfyZiNwPwDVo/zM4on692uVCqnpa2/t18nqq110PUHLZgOW9WS60ipkrJkGNkcwc6WuqzQKmhldCO7F01WIL1tSUuJtV7u1Xx6xdDRHJHAutdnZHXMylCmxxp6vSmM9PnTVE5EYAngjg3JWsAnsdAM4B8IOoOgBcCeD4limOq1+vSnun+5QsoqWSYuFWTDlATP/VmO1Y28RzZ/ewZJsFDDE091jlAMSOOW+9SlkduEaGUoBRZZUUy1wt6RYAjgHwhZZjq/dOAnAZqk4BTVaLrdrqW8mEGGxflag7QBOftNV3O9ah85vEyupU01Wf+lWWA9Rje/qv5iCnrLrWrJYoq6WKaui1CGljrsJ6Bar09LYtx06qX/8FwHkAflxETlPV9YVTp9ev56e6waXikoqm6LsaQkx3gFTtrIbS1bFlNTZdtahfJRWpygFypquD16Gszk5Wi0hXFdAbIv7/yYqAJEwzKhmgbln1VwAeISK3Wr0vIkcA+HlUW7ZeAuBvUS2wOnNtzDGoygk+qqpfyXG/ruUALBvYJ4X4puoO0JRXn9KBmGS2yVRl1ZdU7ax86ldTUUJ3gMHzMpUCUFb9yZl2Mlkl1szZgJ4F4AEAPiwir0C1wOrxqHqv/lC9mcBlIvJSAGeJyHWoNgl4DKoUtq1UYBKU3CFgCBfJtJLVEjcL6JNOl9rVJZG7nVUqcm7b2lYOYJmuWsgqywDcCem36n2NjDtZFZGukmKZrbCq6tdE5B4AXgLgKahaWL0fwKNV9bNrQ58D4HIAT0UltB8H8EBVfU+O+xwzNc2+DWyCRVJthMhqU0j7ZNZysVUfTFfdzg0dm3KOWAmNJXrb1oB0lbI6jKusMl0lZJPZCisAqOo3ADxhYIwCOLv+IiNika5aLrLaOyciXbWUzlBSdgSYMrl3t/IhdovV9jnjJu1LV3PVrOZmjF2sUnQECBXInOlqUSjitqNjDWsSlvmTaoKUXr86dH8W6WoqWc2VrjbxWWzVJGc5QIm1q7nbWVnUr7b9/IvtvxortmP1Xg0lZ7rqKqullwLkllWmqyQVFFZSBEOyOZasWrayipHbqbaSKoFU7ay6yFmTOidct16dImOWAkwF1q+SIcqO7WZO6alpLsaSVV+G0lXLna2stmKdes/VVPWrucsBYp4uAp4tqlqT2HS9V+fYwso6XXWay7gUICbpXHq6qgroVvj3iIk9uJgMjG1mRokdAlIutoqRVct0dah2NeXOVl3JbQ5ZZTnAQWK3Y43dLCB379Wcu1mVRsk7WU1NVpmuEhcY8ZGi6ZNdS1kdOp6ydjVFuppjoVXOLVhDmdruVq3Xii4xiEtXS5DVEtNVF3LXrY4hqrHXJcQVCusEmHPpQJ90xiSzvrIaUzbgm676EJKuWshq7EIrFyyFt4TNAqaervqUAsxVVl1xSVct61bnLKvFpqvb4/+DmxyEJQGEeGLZfso6XS1FVlPtapVqs4BYOe6S1bE7A8S2sloalj1XXUix9aovi21dRSbHfKM7Mmt8t12Nu5ZdXbBlK6um7OaQVRdylwLkTFdTlQJEJ6aZa1ctKC1dzV0KYNkRICTltBDV2aarpEiYsJLZESuYY7Wy2jjXQx5zyWqOUoDqXuKkNzZdjS0F6JLVFKUA3WPHS1enuEmAC5alAC6kKgWgrJIpwoSVDDJUS9pXY5trO1ZXUtevLp0SFlp1EdtdwKcUoI3YUgCTsV0LqIzrV0k/Y9atliCrxaOAbkV8b2clThIorAulhIVcoQuu+s6zfHzfOn/C+tWx7sOVnLtrtV/fXoZj09U2fOpWfUoBUqWrXbIaWg4wxcVWVrWrVqUAKepWrWpVLWSV6SoJYXxrWSglCOPSCHnUX2r9qjVjbxBQOq7paqysdtE1NlXtavd99F8wp6wuHR9xLClVpaySUGhNpDhSpKtdslrqVqyWWPRcLZXWhLTgsoQVJgLaKcJp0tXSZHXJ6aqrPJaUqgITklUVaExYoQLWBdhDYSXJiGn6b0mMhB6cJ832qW1zMfG0JffuWJZYlAL49F31lVXLnaysygAA276rFixdVgmJhcJKorAubbBOV/tkdShdTVkOUEr6umRS1K/GEJuu5pRV1y4AlqIK2MtqznTVAhd5tOyraimrk0lXSbFQWEl2rNPVELH0PWcoXS21HIDEk6J+1ZWcO1pZyqq1qALTltUSNgjwhbJKSoPCOiN0xi2WQiTXpxQgZbrqi+92rH0LsnL2X3VpaZWjB2vpuEpobClA7AYBoe2rxkpVgXnLas50dfGyqgKNeXo48+9hY0FhJcUQ0rM1R7rqPX8zjR0oB0jVy7U0WR2LtvpV13IA63Q1xY5WsYusfMR2KF2dQwlANV8+WS2NxcsqKRY+tywctr8KI2ah1WZtq185QAnk2obVhxjxdZbOEcQ5Rla7SFEK4ENIukpZDSPVBgFjQ1kl1tCGSBIsd7jqKgewSletugg4XX9Afi3KASxlNWcpQC6s01UXfNpY5d4gwJUpb7dqKauu5K5bZa9VW3S7nO9ZpIKfCMlKl3x2Ca5l7aqLrMamq0PlAJZMRVZdiZ2rLV21bGdlvdAq9/arsWNzMkbrKldZZSlATsr8/ycZBwormSS+bayC0lhjWbVOV5vkllVXUqSrlqLsmq42SVG36jc2X7pqheUOVrkXWAH5SwGAUkWymzmkq6RMWBJARsc3XbWS1ZI6AzTxLQUYQ1ZzLbQKTUld615dxrikpilktQufnqu+hHYHsMKnK8DgXI6lAC64yuoY6WpsOUCJUrw74j2pStT6ES14EeqUobCSbOTc3Wr/mmGyOna6as1YsppLfl0WW4VuFOBaCrB5Ty334CmrsRsEADY7WvXVr5a6i9UYyaqrrM41XSUkJRRWMilCdrSKGbskxpDVoblCU1KXVDZlKcAUZbWLWFm17ApQchnAFOtWAbaxItOBwkrMsegQYJHGlvSIf0ws09ucsup6Tmi66jKmKaKhi6ymIKs+u1qN0cKqZFn1wTpdtdyKlZCSobCOAHur7mMit5HpamnlAJb1q3NZZOV3/bB01ez6juGlj6xa4SOrsaTYyWpwLsOaVR/GKgWIkVXrcoNZpasa+XO6jDWOs4PmRCaDT2LKdHW6i6xKIXShVZNRBLSQrgBWlNq+CpierKaoi7WW1TEXXJFyobCSSVNaukrmS+hCK59xFi2spoRlujoHUsrqFEQVoKySbiisJAs+Namx9atjpqullAOU3hUgJ6H1q6Qd1/rV3JTcwspy+1VfWU3VaWDWsqoCjdlym99PkkBhJaPhU7/quqWqTxeBKe1qNTesBNFlwVUIKcsBrNLVlIutgLitWHNvEGC59eocZDVlO6xZ1aqSSUFhJcGkWDzWlq66ymrnnAGyasFYvVdT93TNheW2qgfnTTKtV+N/YtcZoFRZHatmdUqJ6jrFpKukWCisxJS21DTXhgGxKew6Y6SrvluxWl+viyk9Lk8luS71q01SpqslY7lBgBWU1XByJKqUVeIChTUzPqmkz1ifehuvezBoO1U6XDhlQ2oBturbOjQmpBzAJV21TGDHKgfIWb+aczcrF1ktvRvAFGW1ZFFl+8ny4E9qMgpjJrE5oASnJ6R+NaQcwCJd7ZPV0mpXY7BKV6cqq3NiybJKyoQ/VUnRxDzmD92Ctfn4nwxj320gREbjE9hU6Wrn9RPLagih6SpldT7pKmWVlMh8Ii1CHOCGAsuhKaMW6WpIZ4CxugL0nmPcGWCusuqDq6yWTkpZnYqoqkpUOZxOqO5/SlBYCRnAInG1mKPEHqdTJiRdbdKUURdZ7dv5akxZ7aOU3qu5ZTVFKUDKllMlMxVZJeVCYSWEFM8YnQqG0lVLWe3rBmApq31MIV0tFaar3VBUiRUU1oxw1eE8WNKCqlJbWjUXXDXrV4fKAYbSVWtZDUlVAXtZLTVdLbEUYOyFViHbr8ZgLauTFlWN/Hk9vW50k2A5P3knBuW2nZgFV+3j/Ha3amNoO9Y2hrZkdaFtW1brLVkt50q54GqqhMhqH6GyOna6WhopFloBiVpPGcxJWSVTgMKaiZQCGrXncSG47nDlNJeRrLbPHSCWAZ9PyhR3jA0DcsrqVNLVUFkN6QgQKqt96SoXWvnhI5Y501XKKpkKFNYM+Mrq3NPV0NWXobtWtc81fA+50lUXXCTTcktWd8G0TGrbr7khoAPlAFMghaxa161OSVYtSZWuOs/pIaux6WqOXawIsWLeZkQ2yC3DoZsBpE5Xm4yZruZc/V9qKUAp0pkjXc0tqyEtrKYmq6W3sSqtFCCVqM4nXY1rawWU8f1sblBYJ84cygGmSjNdtcIp/U0ouWOUAriSerFVauYuq671qqXK6thtrHJsFEBZJVOFwpoY3wbCcy8HsGTscoCQeS0f2/vO61ZWYFcKYFG3WlKXAsvOAE0oq425CpdV6x2tgPR1q9wQgEwd2hEZndCyAbe5bVLQVIugXMTP4jF+ibI6VAbgW7uaerFVLL6bAgCU1f65hmU1BVOrW+U2q/6oxv1cCignJw5QWIkZcTU//bTVpoaMaSMkTXUpB7DY3ar92n5/znaC2T9PCkkF7EUVyN8ZoK8UoIucvVZ77yOjrI7F2KUAKebMsaAquazS/MgaFNaC8C0H8K1f9e5WkEBAXea0SkVb505UDuB0bYfH9tZJroWsxopqiKQCm6LaNpd1qto2JqWs5twYIDRdzYl1ujrmQivnOY3rVmchqgB2dsdJ0Em5UFjJJHGR2pzdAcYsGQiti40R1RhJHTzXQFTbxoSUAIxVtzoV5pCupsBVLimrhLhDYSVBuKS1LjVATmOMygFS9V4NnSd1O6tQ4Qw/LyxJBdoltW3OFKLaNsatPZXLmM2L5axZBYZ3sQqtXbWW1bHSVddygBQLrUipsK1ViVBYSVFYJafNMW2y6rIN68ZuWG19Xh12zLIqB3CtX80pq6Fpqqukts0TIqpAmlS1fYydqA6eS1ndwEVW594VgJC5sYidrkTkxiLychH5dxG5UkTOF5H7rx0/XESeJyKXisi1IvJuEbn7mPc8R0L+xRqSrpZWCtAmq1bdAXzLAUJkdUelfTHUrvTuTtW1gGr11TZXW6LqUqfqkqq6LKzKLatbuzqYqpYmq64sTVZTwcSWkIrZJ6wicgsAfw3gVACvA/ApACcDOH5t2O8A+CkA5wD4JIDHA3iviNxLVT+T945JHyELsnKWAoRiWQMbUmrQJ6vt4922UT1wTuRcLqkqYFMCAORJVvsYOm8sWbXaxQqYT79VYBnpaq761bEXXLGtVZnMXlhRSeodAdxPVT/ZPFgnqT8L4OdU9TX1e68HcAmAlwJ4aI6bTN0hoERS9l/tI9U2rK5zj0W3fKZ/0BIrq65jXHqnuozxWTwVylAZQO+5Ea2rYjoCLEVWfVPVVLJaUhurpcgq8af2qCcDuDOAowF8FsA5qnqe5XVmXRIgIvdEJZwvaZPVmocAuArAH67eUNUrAfwugB8RkWMT32aW3a3muoNWaO9Vm2uH/fUJFcSU27G2YZWuWshqW7raxKVmtfU+Ar0xh9SGMJSu9mFRCuDCXGR1R7eKkNWU7OoWZZV0IiKPBfBPAB4O4FsAvgTgBwC8TUR+0/JasxZWAL8EYAvA7/WMOQPAp1Q3/kZ+BNVSP9ayToiQkoGSU9HSKEVWQ7dsDd29KlRqQ0nV8qqEdHVOsurDFHezWmwLKxXsbN8o+AsFbSkdilT8mIh0/oAUkcNQPYn+DQDfrqpnqOqPqOp3onpy/XQROdHqnuYurHdBFU3fXET+UkS+ISKfq/9FsOL2AD7fcu7qvVNS36QvcygHaCPFhgFWtaGh9auhPVJDU1j/WlS/8V5zZ5RVq44AQLnJ6Qrrnaz25o1MVy17reaW1W0cKkZWfcnRe5UsD1VVALcD8EEReXjXMFShoGCzl9dh9Xtm3xhmK6y1+Z9c//KdAC4CcBaAKwGcIyIPqY8dB+D6limurV+PdrjWhW1fa9fvZK6P6i1I8bi/xPrV0OuFyvAKi4VWFrLa3YXA7d5CSwFyMIfNAQD3NlaD8zikq67dAFxwlVUfUstqSaUAZNmo6stRlU0+UET+TkTu1TiuAJ4K4EwAV4jIR0XkQyLyZQC/D+CFqnqZ1f3M2Za+A5Vs3hnAfVT1AmBvQdXHUcnrWwHcBGh9Trb6Dn1k+ludPim2cc1Bbskco37VJC2NlFWLetUYWY1JV93HjS+nMfWrMViVAuRuXUVZLQfWr5aJql4O4MkicgqAXxeRLQDPVtWL6+N/KSKnAXgKKt86AsA7UC26usDyXuYsrKvvjv+4/oemqleKyF8A+BURuRmAa9D+53BE/Xr10IVU9bS29+uU9VSfmybdbG4G0N9/NUQqWzcYmEg5QCqGdrA6MNZAjl3HWstqTlLsaDVEqk0CLOtWXZirrIYwl9rV0mRVEfeEb/x/utqjqp8F8GMich8ArxORjwH4X6r69frYU1PfQ1k/GW35Zv36uZZjl9Svt0NVInB8y5jj6terbG9rn5BygJD61THKDpotq5oJ7BgtrVx2tto4x2FnK9e52kR0rP6rpUlxCVinq32bBXTeQ0RK25euptokoNS6VWtyJJ+lpKtLl1XSj6q+T1V/EMD7AbxTRJ4lIkfluPZsf2qp6iFUYnqrlsMru9gGcBnaa01Xi62+bH93pIl/euqXroZsw+pK6FasMaSef/j6HqmrT0Jr2BGgRFL1Xg2V1SEsalfnULfqy1TT1ZyyurN7A2V1wqjqGwH8FwDXoVqY9RgRSfrNerbCWvNBAPcSkWacd8f69RIA5wG4U70j1jqno+op9uG0t0hKwLUUwDIRbZurLfkcu341BbHXKr12tS0pHWML1iFZXWIpgPd1F5Ku5pbVomFbqz1E5Nb11vWvF5E3i8iLReTOAKCqW6r6SgD3B3AnAO8XkR9OdS9zF9Y/QrWo6qdWb9Ri+mgAf6yqVwM4F8BRAJ60NuaE+pzzVDXJ36zSuwNMaRGVRbraJKYUoC39LOkRvF/pQFz9aop0dY6y2sWW7s5eVnOXAqRsXwVMc9tVdgQgbdTdlD4P4PkA7gHgP6Pqb/9JEXnmapyqXqWqZwF4JIBHi8jbROQu1vdTtjXF804AbwLwShG5Faro+gn161kAoKofFZE/B/BcEbkxgK8C+HlUfzbPHeWuO5hr/9UmvuUA8dcrRyZdSCHEOZPYHEluKbKaanHVUDeAsWXVldylAKkJkdUQKWbvVZKJ3wPwpwCeXgd8qOtVnwbgxSLyR6r61dVgVf0igJ8RkbsBeGnd3uoX6hLNaGYtrKqqIvIoVP86+HlUba7eA+AZqvqVtaE/DeBiAI8FcHMAHwDwk6p6UdYbXigpNgzoopmIxpQCxKSrpZUDtDHldHVj/sSy6pOqDi2sGlNWrSixhRWQPl2dIkxXSRt1L/sjAfzbSlaBan2QiFyMalOA1sVWqvoJAP+t7ihwJGDzr8lZCysAqOoOqqS0My2tt2XtHUPsSNkhYKgcYOmkSGJjW1l19V1tElMKsHEfifutTlVWp1i3SqZF8fWrYFsrAFDVXRH5ZQCvFZEnoAr1tgGcCOAOAF6pqpcOzPE+y3ua1rNQQhrkTGfnSrtE2qez1mUHqXuuxravao5Zgqy6YlkK4EqJtatLSXFXTEFWyT6q+joA3wvg3QCOAXACgE8BeJiqPiP3/cw+YSUkBWOVAzhfI0GdqGu6mqsUwGVMTCnA5pj4BVbdc0+/DACwTVddKaF2daqwHIAMoar/BOBnxr4PgMJKMmDZccBywdUYrazGxFVsXdPRFKUAoXWrORZZbYxxlNWxk1UXSkxX57xJQAxWC664QUAPdVurmPOJPRRWQogZTdlNLapd43J0BLAgVladrsF01bkcIFRWp9YdgMkqmSIUVrIYlrwAK3W66nzeTGTVIl0dklUXSklXLXuuAuP1XQ2an7I6yKTSVVIsFFZSNDGPZZYqqKH1q5alAKGyGtsJYCxZTYFFKUDsQitLrGXVunZ17gutxkpVpyirVZeA8FKwOXQJKBEKK5kNsbWmpfdfLWEHrdBFVq7JapMxZdUH63S1BFm1SlbHEtWUZQChu1nlTlYpqWROUFiJOTF9Vn0WVcWkr3NZSBWKiyy6jAltX+VSBuCyIcDefaSQ0ETpqkUpwOA1EssqRdWP0FQ1VFb52J/MEQorGZVcfVSXWh4AuKWwTimpUSlAjKzG9lnNla7GEJOuliCq1TzzklWKajuUVJITCishZFRceqz6jAPCe63ujx2nCi1HC6vUUFbDrrN3XuGyugRJVZWokENn0NZKRA5TzfA4yAMKKyFkg9BygM0x/tfOWQrgNdZDYrvG5igHSMXSygByiypQtqwuQVTJAf5KRG4E4I0AzlXVq8a+IQorIQsjxS5YrvO6dAVoI0UpwNLIuTmABUuSVYrqJrt6CMr19qOhqj8qIt8J4McBnCsiV2JfXq8e454orCOwu8U/9hB8FmT5Ps6ZS4eAEBm1ql/dnNf7FK+uAG3E1qMCfuUAlvWrU9l+NZYxeqy6imSoqPpcY+M8o/6q1owpqiWw5HUPK1T1SwDOBnC2iHwXgP8O4O0icjmANwD4G1W9Ntf90JwImTGp2l65SG4Ty2TXIl312dHKdaOAzrGJ21iVsNjKpRxgjB6rJctqDKnS1TFEtRRJJd2o6qUAXgbgZSJyO1Ty+k4R+TKA1wN4m6pel/Ielt3bZwFMOc316SDg06aqOdY1XV0KIWIZco5LcpoqXc1du9rHUmTVFetSgNSMUbOaipyyuquH9r7ItFDVS1T1Jar6AwCeA+COAN4tIn8mIj8qIkeluO5yfyqPRKhA6kweT8T0aD04T7ryAJ95cpQDWBJUMjBiOUDr3IlqV336rvpsFNCXri5JVudaChBKSRsC7OzekEVWKanzQ1U/p6ovUtV7A/hfAO4K4B9E5I9F5CEicoTVtaYbv5HZ4VOj2kefoIamq2PWM+WsXw3pDtA8J2QL1qasxu5m5T+Wsrpx/oCszqUjwJS6AQDj7V4Vy5QkVSGRW7NOv61VCKr6GQAvAPACEbkzgEcCeJ6IXIiqbOB8VXVr5twChZVEs7uTPqjvk9m+byx9otkmq173FJGu5sCifrWZro4lq7Gi2jXep2YVoKzun09ZnQtsVzU/RORIAMd0HL5eVa9PfQ+q+s8A/hnAc0Xkbqjk9ecA/FjonCwJyMgSywH6ZLbvsX7oMZ901XWMaymADyWUAwzKp+d4l2v6yuqW2qSqpcjqDbrbK6s72B3cyapPVrdlp1dWt2SrV1a36/91n3+D8+IqF1ndwiEnWd3GodnIaknpai5ZnVK6WhIicoyIvEJELhORq0XkLfWCpyF+EsB/dHw9Jd0dt6Oqn1DVs1Q1WFYBJqyE7BGbhKZIV2PFOCdDW7CGyGoTi1S1Gh8vq11MeXMACyxrVb2vXXjyWdoiqxxMUlY18gmcQbc7EREAbwFwOoDXALgEwDMAXCAid1fVyx2m+QkAlzXeuzj+7sbBRFhF5BgAuzliZkLWSV0OkCtdjT1/KO1Mna4uUVZ9OwIspQzAFcvWVb6wFCBPujpJWS2HhwM4A8ADVfVdACAi5wH4LIDnAniqwxwfUtUvJLvDzFjFN88C8E0RebjRfGRh9Neopi+JSJGu+uC6WYArqfqvurBkWe0rBehjLpsCpKCU9lXED8pqNA8FcOFKVgFAVS9GtdvUI+sEdlFY/VR7CIBvAHhr1wARubuInCEiNzG6JiEHiK1f9ZnPBddWVj5YdQfoO99ioZUrc5LVMcnRvsqFMTYG2Lv2jGtXgWl1B5i6rCqq79+hX0bfIc4A8LGW9z8C4AQAt7G5zHSwEtaTAXxQVfu+a+4AeAeAXza65mTY3Tp8lAVXpW0aYNGD1af/ahfNcgCvTQccOwP43c+4i61SXmsoXR2crzBZ7SMkXY1dZAWU02s1RUcAl3R1R7ecZHJbD3nJ6mpe1/lb59g9tPcVw1QXW5Ew6t6lJwL4fMvh1XunOEz1kyLyGRH5uoi8UURubXaTI2BlNIcD6N2SS1U/JSKfA/BfAfyq0XXLJ+KfWnOSVR9cpTS0ftWF2NrV2HQ1RoxTlgNYpqtNfJr8j4VlKYBFGUCsrLowlqwOXtM4UbWsT7VcXDWlZJUc4OS6/+gGqnrawLk3rV/b1gVdW78e7XAPzwPwWlTtpf4HgA+JyD1U9WsO5xaHldV8AcDQBwAAFwH4PqNrzpqptrJyTVEtklJX+sQ2dpOAsdPV2HKAJkPlADG4bg6worR01UdWY0QViF9gBbjJqsVCK0tZzS2qpUoqkE5UU6erUy8HKIRV6WTbN4vVX/4jHeZ5nKr+GQCIyN8D+AyqNUfPjL7DEbAS1vMAPENE7quq7x0Y+21G1yQLYH3BlWv/VdfuAKlKAVKkq1aE9FLtnuvgr4fKAfqONSV0yrJKNrGSVVdyyuoSW1XNHVWJekqn1ffCix2S1C6uqV/bHG211enVPee/HlUJ5lf370kvEpGPoerRaiKsInJ3AD8C4D8BeKWq/ouI3BPAgwG8SNX2G6TVT8azUcXUfy4i39s2oN554Z4ArjC6JklEjp2r1gnpAuAqm+vjXFpZpSgF6LyWx9jQJDdOSMPl1qd21UVW+zYQGLNuleTFtVY1F6lklWUAi+eb9evxLceOq1+v6jpZVa9T1ctUN77Z/RuAW4vIcW3nuSIix4vIewBcAOD7AfwCKmkFgC8C+CUAj4u5RhsmZqKqXwTwWAC3APA+EfmteisuAICIfDuAPwBwawB/Z3HNORNbDlBK/WqI+IaUCrimqweuE7mjlY9ApkpX2wTS71r93QH6GEpX1/EpBeiSVdex++fYrfAvsSsAicNixT9llaRCVbdRhXsntxxeLbb6SsDUR6FughB4ayt+A1WXglNRbU6w9wOg3tDg9wE8MfIaG5hFaar6JlTR8NcBPBnAP4nI9SLyH6j+YB+NKsL+f62uSeZNbP9Vr7TToG61tHR1cx4fIXVPVy1LATbuI5OsWnYFmApWrawssKpdzV23SubLjh4W/GXEeQDuVXcMWOd0ABep6qVdJ4rIiS3vCYA7AfhXVb1m8ywvHgTgN1X139C+tPxCAN8deY0NTJ/9qur5AO4A4EwA7wdwCFXN6iEAbwPwA6r6OctrkmkQ29IqdpFWSO2qRSlAznQ1ZMyKmHR1HctSAEtZ7aNPVkPS1aFNAoaw2CSgpO4AY+5oRQ7CBVeT4lwAtwLwqNUbInIKqvrQvp73JwD4SF1fus4jANwOwKsN7u16ADfuOX4HVFvJmmL+7FhVr0NV03o2UPUTU+U/aYkdsbtSNcnZFQBIl67GlAMcnCc8Xe3DpxTAWlatSwFC01WXDgFDuHQIGJyjoHSVzAPKqjlvRhX8vUpEboOqY8BTAFwO4KWrQSJyXwAn1E+5AeBrqNLZD4jIX6Mqw7w9gGcAeA+A3za4t7cBeJaIvB3Al9YPiMhpAJ4G4H8bXOcAyYsdKaukiWVLq5D6VRemnq5u3kuPoBaQrrocSyGrXGjVTs50dWpbr7IrwEFSiequbiOqkfnEUdUdEXkQgBcD+EVUfVfPB3Cmqq4vXn8BgPuiriNVVRWRn0W1S9bPoCrVvBjAiwD8Wl0fG8uzANwHwD+hSnsVwCNE5NEAfgrAPyJB+WcZq3PIYomtU+2e1607QKp0tWtsrtpVq/6sY6SrvmNSyGpoujqFjQJy9V61lNVSugOklNUp9l1NK6vjoZCo778Km++/qvotVGuCntwz5n4t720BeEX9ZY6qXiMi/wVVe6zHopLlp6AS4/8J4BVGYnwACmthTHXDAAtybCZwQGQ7/qxzt7GySFdTlQMcPOZ8CdN0lbJaUcIWrLk3CQCMm/tHzDW1rgBTFNVqbparTIG6/POFAF4oIsdWb0Uv5uolb8NNQhzp2jDAun5147qZ21ilnGN/rrByAKsENSZdpaxWokpZHZgvcbqaQlZ3dctcVnd2b9j7SsGuHqKsEojIHUTkviJyGACo6tUAThWRV4vIm0XkMSmuy4S1ICzS1VJ6sOagq37Vd7OAIVK2sUqRrlo9xg+5F8AuXfXdEGDvvBnJqgulyKprN4CxZDU0XU0lq9awA4AtqcORiXMWgO9V1bsAewut/gFV94ArADxMRI5TVYsFXnvwEymEJZcC5GKoHCD3QqsuLNNVv+uGlQOsJ6h9mwT0CamFrO6oZpfV1EwlWZ2jrKbaHGCKskpIgwej2v51xf9EVcf6Par63QD+BMATrC+6nDhuASwpXbXGohSgC4t0tYuh+0tRDrB+LEUpQPtuV2lS1cFzB2Q1pueqRboaS6ysWosqML6sslZ1k6Wlq2SQWwK4FNjbkOCHALxbVf+9Pv53qPq+mkLDKQCmq+PiK6tjpKtWj/K7rxu/2MqiFKAkWR1iSFZje66mTldLk1UfsaSszo+S6ldV476fL2A35y9hf9vYHwBwAoB3rR3/dgBXWV+UwjoyVrJqla7u7tg8jl6fZ32Xq4MLqLoWVg0vuPKtX+06N7WspkxXfbGQXtc5YttYrZhismqxyKr3/JmJKpBmcZWPrE5RVOeSrJYkqsSZP0W1ccA9UG0V+3VUZQArHgbgw9YXpbCOyByS1S4xLYmpyKpvuto2vhQpdaUveR1iDFmNSVVLF1VgHqmq77yU1U0oqmSAXwVwLIAHoNok4IWq+jUAEJFTUW3N+mLri5ZpGAvAUlaXULsak676MMdktQ3X3a18eq92X8tt3Ob2rHnbVlXXtO8GkFpUgXmnqsC0ZJWiOnQNiurUqTcFeHrHsU8DuFWK687fdApk6mUAPte1KgeYOxbp6uYYVymNT2X76lfX8SkH6JwjUYFYTLI6JpTVsHmtZZV1qsNMRVYV4rUrYdv5xB4Ka2ZK6LUaU6e6fu2ucgCrOlgLfMoBLPqtlorrY36LHq6upQL9C7HCpDQmXQ0lZnHVULo6FSir6WWVravIGIjItwH4BoD7q+o/1O99C8DQN1RV1W+zvBcKa0ZiZTVGVEMlsuuaLrJawmKrlJRUu9o3fuN8gzpXCykNYYx0NWreyNZVU1hgtWRZZarqzlTSVbLBNqpNAa5ce+8vMSys5lBYJ0BJojpXprzQqm38+mP+PpF1bWcVurPVOr69V31Jla7GdASYO5TVPEy9I8AUZbWU9QZjo6rXALh/472fGeNelmUlIzJGR4BUsjqVdNWlHGBuolqN7ZbV9XS1Kas7B461Xg6A+2YBPtuwHjzWfjCmK0AfqWpXS+8KEJuuppLVKUBZ9Zl7erJK/Kg3D7hRvRgrGfwnROEsLel0IaWs7uwe1iqrW7uHtY7f3j2sVVZ39LDOOtmudlTt8uk73l5W+3a2Wk9XLXe22hgTkZCm2nZ1yi2srBZapaD0dDWXrO7s3pClKwBllYQiIv+PiHwIwLcAXCMinxCRJ9cCaw5tKANTSldzEZOuDs4dIKtTTlSr8d0CCrjLquv1AJudrSwILQVItTlA6bJqQQmlAGOQU1ZTQ1Hthjtd9VML6ZsA/F8A/h7AHwA4GsBdAfwWgIeJyINUbRcHUFhTE7HAJTRdLalutUtMQxl7odUU8VlkZVEK0MQnXW2WA3BzgMb5My0D8BXVnMnqnCQVSN9rdeqySpx4BoAHA7jfqnPAChF5CKpFWf8DwEstL0phLZApLrKy3vEqNF3tnG/B6Wro2NzpqpWsptocAAiX1aWIqm+takpRBcJldW41qgA3BSCm/ASAVzZlFQBU9a0i8lsA/juMhbXs58aGiMi9ReT5InK/xvsiIk8Skc+JyHUi8iERecA4dxmXquaQVXsxtd0owFd05yarMaROV5uyevBYelnd0t2onayWKKvbODQoqzu6tfflyrYe8q5V9U1VfWV1V7f2vlKzqk/N9eg/R6pKWV0U3w3gMz3HP41qe1ZTFiGsInIEqhqLXwVwv8bhZwN4FYAPAngagKsAvF1E7o/M5C4BiLmmL0nFdCblABayOvZCq3UpDV1o1SWdW7s6SuuqIWJ6rZYuq0OEJKopRRXwT1XnKKlAHlGtrjM/UVXsL2wN+Zp5CSsA/BOA+/YcfwCAT1lfdBHCCuAJAC5rviki3wHgeQB+TVUfo6qvAfAjAP4NwNkiku3PZ4x61dSyar21qkVpwDqlpas+Y12S1b7a1ZJKASwYqwxgiJQ7WY3dCaDEx/8+sppbVHOSQ1Sr68xPVokTvw3gp0XkF9c9SUSOEpFfBfCoeowpsxdWEbkpgOejKgJu8kAARwI4e/VG3UfsZQDuAuCO6e9wOouruq5nXSawjrWkxqz8bCNlKYCvrB5ITHs2Eticr/NQkoVWG9d3SEZT1awOMSSrY6arMcTWrJYoqz6kFtXcaeqKXKlqdS3K6lJR1TcDeC6qGtUrROR9IvJhAJejepL9G6r6Buvrzl5YAfwygC0Ab2k5dgaAL6rqFY33P1K/3jPhfQGYrqxai2lXOyuTuQ12LOlKV9sYW1aHzhk7XfUtB0i1KQAw7sYAvecmLgXovzZlNZQxJBXIK6rV9eYtqwrZ64Ed8qVI0oa0KFT1Ragc6Y2oXPJGqFpd3UdVfyXFNWfdJUBEbg3gl1A99m/723x7AJ9veX/13imJbm0UxqiRbWLd5qqL0GTWJ4G1EGGf67nKqk8pQN/2q2O0sWqSMlmN2XI1RlbHrFvNmaymFlWgPFnNTU5J3b/mvGWVuKOqnwLwxFzXm7WwAnghgCsBvBrAMS3HjwPw5Zb3r61fj3a5iIhc2HHoZJfzfcm5KUDotXKJ6YFrGiezIfhtoRq23erQWJfzqmPd5/UttNqYx6h2tSmgJbauAsrtCJC6dZWrUIY0/88hq6kYQ1QByipZHrMVVhG5M4DHAniyql4rIm3CehOg9afT6qfOkanuLzch6aqLrKasX+0id4cAn3KANiwWWbmOzbHQKke6WqKsptwUoPQ+q3OQ1RTp6lJS1eq6lFVSISKHo9oY4L8COB5orYFQVb2r5XVnK6wAXgLgEgCv7RlzDdr/DI6oX692uZCqntb2fp28ntp1XiqJjLmGy/xDYuq27arfdqwWi6/WE822NLYt8WyT1bZSgNhkNTZV7Vtk1VcG0Dw+lKz6tLGy2iTAZ1yJsjr3EoDQ7VRDRBVYZrKaW1LLkdPxGkT5hAcL5JWoSgGuBHAR2ksuzZmlsNY9VB8M4OcAHCUiRwE4tj58pIgcC2Ab1R/28S1THFe/XpX4Vp1JKao+c6/Lqk+6aiWrXelq17mudabWsmotqq5paqioAuH9VoFhWfXpGhDK1HawKjlVHZLJUEl1mbv33EJ2rsrV8D8X5QjqPqrjlFoQJx4O4G8BPFw1YuWqJ7MUVuw3tP39+muds+qv/4OqN+sZLeevFlu11beakEooXecNldS289ePh9auppbVvnS1KZJjiKqVpLbP3T9vTKoK+MvqULraVQ4wtItVKClkdc61qrkTVaCcVBVIK6ts9E9RnQjXAjg3p6wC8xXWcwCc33jvZgD+BsDr6uOXA7gPgB8XkdNUdX3h1On1a3OO7LiKpbWo9iWmvrLq8v5YpJTV0EQ1lai2jUktqyUQ2g0ghayWnKoC/VI5hqgC8bJqma6mktUcW6dOgVJkVdVtc5a+82fOuag86Q9yXnSWwqqqlwK4dP09Ebll/Z+XquoF9XvfRLXA6kwAj6/fOwZVbcZHVfUr2W46gpyySsaXVactWT1TVSBeVtvwTVc75wlMVymr69e37a86hMV8lNXlUIqsEideBeANIvKnqPqwfgnY/Kapqh+zvOiizURVLxORlwI4S0SuA/BpAI8BcBLaSwWyYtm+ykpWU6SrY5UDuPRAdamBdSnODykBGCtVbRvjIqu+pQBttJUDzF1Wh0QVGF9Wc/RU3ZhjAbJKKiirk+Pi+vWeqLZhbSKoVsyZPkZdtLDWPAdVecBTUaWsHwfwQFV9z5g35YpLuspk1Q2X9lVNyXWpWbWQVYtUFbCR1TaC0teEz81KkdUcO1bNTVYt6lWnIqusWS1XVtkloJfHYYQWDosxFFX9Glp6hamqAji7/losLrKac8OCEgjZySqHrLZLcv+cgJ2shtSt5k5Xu5iTrA6JanUP0ysDiGUqspoDyipJgar+4RjXXYywElssOgNMjWEZHU5fm8TKakgJAOC2GUCorJacrnaRU1ZzlABU95C3x2oJZQCWpJbVpS+0oqwSXyisheK0y5RROUCqdDV1/aolzXKAkHR1iEH5jJRVl1QVsJPVNtprW+3l1Dpd7WKusurCFGU1xW5WKaCsUlaJPxTWEQjZ4SpkjiHJDBXVUtLV1Auu1olNV+coq24Lsdwe8zfLAUJKAULqVkOS1VSLqyzqVat7GB5j+eh+brI61ZrV0iUVmI6oKtoXvfqcT+yhsGZmSDQtktVYUe0737czQN+xUtLVOTIVWfWpWw3pCGBds7oUWXVNV+ckq1MU1SlIKjAdUSVlQ2EtiCHRjBHVGEltOz+VrLoSe35Kxk5XXWS1jVJltZTWVSnbVllgUQYATEtWSxZVSiolldhCYc1In3DGyGpMohoiua5lAC6y2qQrXXUlTe2pXzmAJTk2BAAoqyv6alY7z0lcswq4pasuWJUCzKV1VQpZTSGqU5FUYB6iqpC4na42GxIRAyisM2cuvVVzlgNYSm9sunrw2MFfW2wIUN3D5nsustqGa83qWKTYFCCGKZYCxMgqRdV3zrJFdQ5ySqbDPGyGFEGzHGBsXJNPlw0DXK/R18oqphSgRFl16RowBiHdAMaAsupPibK6JFGloJIxobAumBI2Aiit/nQIn91PetPSGcpqaEeArnF9hPRaTcHYtatTkFWKqs+c5Ygq5ZSUBoV1AoTWr1rXrlbH7BZbNXGtX3VpZ9V3Tl/y2pyjb2xfuuqyO5XL2D5ZTS2qPmNjZLWLkF6rvfMVVA6Qs27VAsrqQXJsqUrGQ+EXTrSdT+yhsGYiVDpDzkstqoCNrLq0sgIO1q+6LsSyKAfoF9JwWd1yHBsjq66iCsSXAMTWreZabGXN2OmqC9a7WRFCyFhQWAvGUlZjuwEceD+hrDbpk9WQdLWP3jk8alP7jnXJal83gL4SgByi2jW2Gu/RR9WgFKCPFJ0BSk5XrdpYpYLpKiHEEgrryITUkZYiq33H+hZg9Qmq60YBfXO4Psb3SVe7jvX1XM0pq22iWl1z8z2fx/9d47u2W/WR1S5C09UQQmU1NF1dykIrymrI3KxfLQbdfMLlez6xh8JaKBbbt6bGoiuA66Kr3ppW49pVn1KAdUJkdXOO9usCfrLqn5T6jLWR1RylACmSVcpqx1gDSQXK3GI1dapakqwSUirlWxE5gOXK/lw9Wp0fybvWnTqmq70LvA6kpG6lAD51qwfuKaBm1acMYPN6m+9ZpKrVeMpq93nhsjpVUbWSVKBMUQWWVwKw+HSVFAuFNQNTSEvXCUlO+0oF1rGoXT1w3Z5kdJ2uUoC+rgCutam9Ehq4wGod15pVi1S1f3w6We1jyrI611S1tDQVmK6olpSuUlYr2CWgTKZlUjMjR1rqW+/qWrvatz1r12Ir69pVi1KAdULrVg9c1/GbnOscXbWpQ8f25ipIVjvHdghp7q1Xu2R1DqkqUJasUlTLEFUKKpkSFNYC6UpkrRZbtY33WWRlIauxPVebpCwF6CO0FODgHE6X6i0FKKUMwDdVzSWrJZUAuPZXzZmqus4VK6ulimrOx/5jiSrllEwdCutEsJBVi44AIbLaxKLnakgpQB9zS1fnKKu521aNJauu7aqmVK9KUc0vqhRUMjcorIXhU++aSla76lH7alute65uHDPoudrXxurAHBG1SyuaW692jjPo0tQloa7jrMoAfAhJVjvnoqy2z2UoY3OU1ZzklFWKajwKt5KrvvOJPRTWCeBT65pCVofGWfRc9TlWCn2P+UPG9THUGWCdLgG1IPUCq87rTmAHqynKauoyAEtZJYQsGwrrSMQuuGqTUFdZDS0BaBu3udNVWN2q645WTULLAfpS2rFwTXZD/uVvla76MNVSgJIJaeKfY642rGV1qukqIcQGCmtBtJUDuEpojKyGiGrbGAtZbdKcx2ILVh9ca2At6lfXcZXSpohapKspd7HKxZRKASyTVaCMutUpyOqSugEQf3yeapE8UFgLIbWs5hJVoL9mdUhW+6S3r2dqk+Yx1/rVPpw7BwTUr/bN7bIFK2Cz0Cp1r9Vc6WrnORn7rJYoqj7z+cpqisf/U21ZVV2LokqIJRTWEXApBwiVVZdUNYeotv06pgxgSFZj0lXXFPXgOf71qyHpqmsrq3b5bD9vrI0Bxi4FCJHVFKkqRXXo+pRUQsgmFNYCaKarLrJqlaqOLaou8/nK6lC6atF/tesc63R1HZddrYaOp6xZzUXJslqiqPrM6SqrlNT1a1FSCckBhXVBuGyf6rrF6hJw7b/afb5duupTCmApq6nTVUv66lY7z8kgq3MSVaDsNlVLrktlOys7VCPbWk3n3/+TgsJKeulrWTUHYssBLNPVkIVWO46paw5ZDSGk76ovIVuudpFCVn1W61s//gfGkdUpimqJkgpQVMlyoLDOhK5eq6UxlXKAVOlqyDasXaUALh0B+sZYy6pVz9Wx8V1gFSqrKUTVZ16K6tDcZQrqCooqWRrTsJwZEdJ/NURGXZLRkPQ0tn516oQ85u+iK111LQU4cF8trliKrIbsatW14KqrftW3dtW3FMBSVscWVSCvrE6pJVXpkgpQVHOgcN9BsOt8Yg+FdWR8tmLdOydEernYKulmAVsHUtS4dLX7Gvv/PVQKYFkCAITtZNVXt+rbGcBXVAHKaufYTLI6FVGdgqSuoKySJUNhLQyLBNaljdXGHJ6yOge6HvuH1LX64puuuv5rv4RU1VJUgfSpanUOZbVJqKxSVAkhKaCwFs5QOyuLcgGX9LVJ7nR1LHZcktPI0gDvewqoafXtsQrYpqqWj/+B+crqVEU11bapS37034Tpal4sdg0ktlBYMxKSnvqSYlW/bylACmLLAXLhUg4Qk676fhNdSqoK2JUAVPfm32e1c66RZZUcZIqySggByoixSDKGH/VnEFzPdDUFPtu6ToXhna4oq2NvClCCrDJdJYTMASasIxKy4Co1sQutTO4h4Tas7dcbbmflUg6QM13NKatTLAEAKKuAn6wSQkjJlGdMC2aoPnXouG9tqnVXgNZzMncGqK7Z3x1gDulqF6WKao5FVUBYrSrQLapAuppVH1F1nfPAeE9Z9U1Xp5isTrUcYJH1q7qDsRpEsa1VmVBYF8rYLaxa58jQxmpjzhmlq74Lq6y2Vx2znyqQV1Kr68VtCEBR7boPimobi5JV9d9emSwHCutEsExXx5ZVl44A1rLaJ6rN43OR1bFE1UdSrQW1OjdMUoFpiyowTVmlqHazCFmlpBJHKKyFErPVqk+bqtJkNUcJwNxlNaWopm74H9KWqjqv/wd7jKhW1w9//F+iqALjyypFtRuK6riotq8N8Dmf2ENhnQE+raxiugKUJqu5RRVIL6u5CVn5vzGHgayWmKhW186XqpYqqtV17AQq9er/KcrqIgR1nYJllZQLhbUQfHq0+qSvfjJr126qJFntE9XmcdfNAWJktQ+f7Vd96GtXtXkP/rWqG3MYyGrJqSowrqxSVLuuMR1ZXZykrqCskkAorAvGR2Z909XecyNkNSZVHU5c/UoANufvnnudlNuv9q3sjxnrUwqQWlZjRRUoR1aXkKpSVPdZrKSuoKySCCisE6AvffXZCKD/WHciGlMKUIqsNnGV1T66ZLVJVylA79zOiezwhG3paqq61VhZpah2jJ+IpOZu9j8FUV28pK6YmKy6fG8leaGwjkTfpgF9j/x7jwV2BpiCrDaJqVdt0kxNDxzrSVe7781tnGu66ro1a5uExpYCxMqqz+KqkEb/1b2ML6rAsKzOMU0dYzeqKUgqQFE9wMRklZQJhXXC+Kz+dz3WV7c6pqw209XeuTxqVpv01a12jis4XW2dv01sM8mqTwlACaIK2KSqc0pUx9oydQqiSkltgbJKjKCwFo7PYqwuXEsB+lpYhWwMsHcsw4YAXYTWrW7O4zbOdaFV6nTVp4WVq6zG9le1SlXnKqqh26jOWVQpqRNmwqKq8Kvxbzuf2ENhnQmu7apcF1r1Ja2+7at67ydh66oYWXVpX1Uda5+/KauuC61c+q5Wx/YPusiqq6gC7rKaogSAoupGiKRW15rGo//SRZWSOsCEZZWUC4W1AFxTVNd2Vq5S2peKuo6LbV/VdyyXrG7cR8Gy2rdJQIrFVSWkqrHtqapr2kimVZ1qzjS1ul75okpJnQmUVZIICutEcZdS/0TVJ13tvbZnKcDB6+STVd9drKpj7eeXLqslLqyiqA6TW1Sra7IdFSXVk5nIqkK9Fqy2nU/sobAuCJ++q3vnBKarPrLqk6yWWgJQ3ffafze+X7lsvTp0bJ2h+qqY+ivAXVa78G1ZtXn9MmTV6vF/blGtrlluqlq6qBJCyoPCWhg+u1jtnROw3WrfYqsufDYHWCdUVi1ENSRNbY6rjncfcxXV6ppr8/Qca9LXEcA1CfBJV13x3WZ1c+ymVOWQVYtU1XWenDWq1fXKTFUpqYSQGOKXoBeOiNxTRN4tIleKyEUi8moRuVljzOEi8jwRuVRErq3H332kW94jpENAX+9VF/o6Axy4jmMLqwNbpO4e1imr27uH7cnqjh7WPYfKnjBu7R7Wc0w2ktK9Yyp7sto3rjq+L6vNY9u7fqmqj6y6lgK0kStd7SoFaMO1FMBiO9VSZHVn95C3rO7qVtTj/5hUNYWs7ur23hchhMQw64RVRL4HwPsB/AWAPwNwZwBPAvBAEbmXqn69Hvo7AH4KwDkAPgng8QDeW4/5TP47ny59qeg6XTtYhaSqsYlqX5radryvTrXtuGu9avNYdbxfVpvpaopFVilKAYZ6rG7ew3xLAGLS1Opa5e1ONQdBZf2qJzOpXwUAaOQ//FnCmoRZCyuAVwD4PVV9+uoNEXkrgPMBPA/A0+sk9WcB/JyqvqYe83oAlwB4KYCHZr/rGdKXrO6N6UlV13GRVV9R9ZVUIE5U3Y7Hy+qUWld1pas5WlUBNgurXEU1VlKra5UlqnOQVICiGsScZJUUy2yFtX7s/4MAfmL9fVV9t4j8Xf3+0wE8BMBVAP5wbcyVIvK7AJ4lIseq6tWx9xO7AUBIbWtu+koB2t73ldUSRHVIUqvrNuaMFNXqvmxkdUodAaZUq+oiqiVIanUfdqI6F0kFKKpBUFRJRsq3oEBq6Xycqn615fAnAfyQiNwCwBkAPqW68dPkIwAEwN0BvC/t3aYnpEPAOusLrkIWbPVhLas5RLVtzJCIuoyhrK6uP50NAIZktRRRBexklaJK5iyriu6nU67nE3tmvehKVf+o49CtAOwAuBrA7QF8vmXM6r1TrO9rdyvu3wmxC6u6hNN1wVXr+Ih0tfW8iGR16HhzxX9IqlqKrLbh8422xPZVc5JVCyir9qjesPdFPNCd/S9CMjPbhLULETkcwL0BvE9VD4nIcQCubxl6bf16tMOcF3YcOjnsLsPoEtmD7/v/G6UrXR28H89SgDZiygDa51u7P4M61eqaB38dIqtthG652kbsAqsUu1gtQVbHak+1eR95t1YtEcppIJRTUgiLE1YAz0KVsK5qW28CtO4/ufpbemTKm1mvbc1dp+qSrrqUAgx1BohdZLU5X3jNatd7Y8uqb+uqrjGxW662MUav1Y17yLSwynWepcrqFNNVimogFFVSGIsSVhG5B6ruAI9V1Q/Ub1+D9j+HI+rXwQVXqnpax/UuBHBqwK12iqxbijqcrqaW1dX4UFm1WGDVVwawf084gEutanW9g7+2EtXq/sKS1RStq8ZOVpciqpaCun8fy05VKaokFEXcpiqsYU3DYoRVRG4P4K0Anq2qf7p26EoAx7ecclz9elXiW8tC6bKaY4FVrKi27UTlIqpt41xEFXCT1RStq4DyZXXKoppCUPfvY9miClBWCZkjixBWEbkVgHcBeI2qvrxx+DK015quFlt9Ofb662np+oKrrhQ1RboaSmmyapmqhqapQLioVuPyp6qAu6yO3Q1grqKaUlKr+6CoApRVQubK7IVVRI4H8E4Abwbw/JYh5wF4pojcYm3nKwA4HcC3AHw4+U1GkLoUoPWaDh0B9ueahqyWIqrA/GTVZ0OAPlm1ElXXuaxkdQ6iOoXaVYoqsUKhXnX+becTe2bd1kpEjgXwNgAXAHimautKlnMBHIVqy9bVeSeg2qr1PC3ku2BsK6smMaUAK1zaV+0d91iY1bfVKtBdBrD/3vp1u8sA+t6foqx2MXVZ3dEtp5X/rqlqCYuqLNjVQ0lldVe3975Khe2pCFkOc09Y3wzgFgD+HsD/LbIhN29X1Y+KyJ8DeK6I3BjAVwH8PKo/m+fmvFnApmuAS7o6OIdDKUAbob1W294L7bPa9t66lK6nq6XLqg+lbbcaW6/qIpaA3eN/wE1UgXHLAFInqiULKsAklZClMndh/eH69fUdx2+HqkvATwO4GMBjAdwcwAcA/KSqXpT8DmElpu4yOmYpwP577aUA7dft77Pat4NVdS9r/90jq20CCowrqzm6AYwpq32p6hCWj/+BsmWVkkpJzQpbWnltoELyMGthVR1o6Lk/bgtVmpotUV1PUn3wEVPrdHVo7JB4eolpy6P+g3P1Hx/q5dpVHrAxT+FlAGN2AkixuMqi6b/rXHvjChTVXAuoShZVSmomKKdkIsxaWOeCz2p/r7EG6WoboTtZtV83bBer1vvqeeI+h04AU29Z1SeY1mkqUJao5lzhT0ldMJRTMmEorBlZb2k1hE+ZQGg5QOzY0HTVp3a1fa7+2tV1XJLUUvurVvMdvEAuUQXyL6zaGDtimgqk7as6RguqEkWVgpoQyimZGRTWgvApExhKUn0e63d1Bth7z2Dr1f337GpXD95D+3l799VRuzolWW1jrqmq5UIqgKJaGhTVhFBUo1FoZ22/6/nEHgrrhBhKUocktmuxVdt7Pm2s9s5x2Hq1da7ANlY+nQHasC4DcCFFj1UXxpRVq1TVR1CBdJJazV2+qFbXLUtWKaqEkFAorIkZWvc19Oh/OEndPD4knkO1q21trCx6rg49vvd51D/UGWCdoTZWe3NmWGDlQo4uAKUtrGoTVV9BBfwkFQjrpZp6IwArKKuEkDlBYS2QEIn1SVf33vMoBWgbN9Rz9eBcwztatY413iRgf97GNWe6wMpaVksUVV9JBfKKau50laJKSBwK7aztdz2f2ENhnQghu1sNpauu54R2BSihFKAtXV0XUUtRDa1XtZTUuS6qap0zk6hW1/KXrqWv/KeoEkIsobCOQGgP1iZD5QDu88Slq23n5NjRapWuWslqyoVVKTsApKhPra6dRlSBblm12ja1CUU1L5RVQog1FNZCsJLYNobKAfrG+XQFaGOoK0CnjNb/nUNWrUTVKk0NkVSfFLUaHy+p1fz+i6RCZTVEVIH5Pf4vVVIBiiohJB0U1oJxrVVte8+1HCAkXW0jtBSg7b0U26+6yqrVo/+QRHUqaWo1v02i2ndOziS1ul6ZklqqoFJOR4btq5Kh6P4e6no+sYfCukBSpquxGwSELrLau6eBjgDWshqSqro8+ndZQDVlUbWQ1Bg5ra4VJ1ypRJWCSgBQSAlpQGGdKK71qz47WwHu6WrsBgGhdatt77WJ6dDmAEOyGlICkCtVTdGSav/a5Yrq2IJa3YO9pJYqqAAlNSkUUkK8oLAWRltLK98OAb7lACHp6t4cBZYCdMnqzkB5wP45ZaSqLo//LUR17PrULlmNFdT9+csTVUrqQqGkTgPRzu+jruezLsAeCuuE8O2/2rfYyrd2NaQUYKiF1VC/1S5ZXb3fVbe6P+f672PzeIpUNWRRVcjj/6ao5khTgXw1qhayatXgfymySlElhJQMhXVE+jYI6BNR33ZWfcf60lXXUoAUdauhsuq6yGpIVlOkqhaP/1P0Tt2fO2xbVMtUFSjj0f8KS1mlqBJCSDgU1gLoa2nVVw7Q1x0gNF3te6wfUrc61G91zEVW++/7yWqKVDWkTrUpqiFpajWvragOnZdCVq23S11CqkpRJaQdhfZ+P3U5n9hDYc3E7lb1R72S09Za1fq9vkf/felqX+2qa2eA5nlDuNa6Hpi7RTyHjlsustqvZbUvAciRqpaaqLqcS1kdF0oqIWSqUFhTo/2y2nxvXVZXctovsH6dAVxrV1cMLbTaf69fQmNbWK0IqVsdqmUF8pQApKhVbRPVPkmt5gwTVSA8VQXsZbV0Ua3mLENWKaqEkKlDYc2Ei6yu0yarfQJrka72JaNDC63aGEpKY87xKQVoe289Xc3RripHCcBYoupyfuguVe1z2cvXHGWVkkoImRMU1pFoq1vtf+zvVgqw+u82WW2Ob2tJtZ7ANmtXW8cb1q3udxfAxnuWi6xWshqyY1WKdlVLl1XXdJWiOgwltRDYvmrSKHTwe+rQ+cQeCuvIuHQKWJfVZimAi6yuS2hTVg+s8G+0sGqKanebqnSiWt1H/dqRqrZL6dpcDrJa8iYAUf0A0S+rg+cmlFUXUZ2KpFbzjiOqlNSRoJQSkhUKawb6ugCs6EtXN8cclNV1ae2SVZdU1UdUY3usbp63+V5sqrr+flcJQEitKmAjq2247F/ts3p1SFZTLa4C4mSVojoMRTUxFFJCioLCmpG+NHVz7EGB7VtktXeOo6z6PP5vpqdDorrx/t55/aLafN81Va1+H93vVe+7yWoqUQXsklXXUoAYUQXSLa4C8spqKkmt5qaozgbKKTmARj2Z4jZXaaCwjkBfZwBXmulq3wKrIVxldZ1UsjqUqlbz1ucElgCsi2rIo39guE4VsNta1aUTQEpBdTkfsKlVpaz2Q1klhCwVCmtBbKap3V0BhudyT1ddca1VBdLIqmUJQM7H/inT1DZRdZHLIUF1nQcYFlUgr6ymFNVqfsoqIYTkhsKanLqm06McoIuu2tUc6Wr7BgFxsjpUr2pZAtCVqqZKU10ktRpnk6bGJqiu8+yNc2xTlbMDQGpRra5BWSWEkDGgsGamqxxgKF0dktV1XNNVX1ndGRLRCZUA5ExUrUS1muvgezGLplzmODCuAEnNIaXVdcpo+A9QVs1gnSpxRFWdvy92nU/sobDOBN+FViGyOiSq1fiWLgEDC6sA91R1/X3fhVVdsjqFhVQuojonQc0lptW1ypHTdSiqnlBICZk1FNYMrNLUVOlqm6ymSlVTiWrz/ZBUtbqOu6zO5fG/xYIpwF1QAXtJnfPjfF8oqj1QSglZLBTWzOSQ1Y1rGsuqT1/V5vuxqerm++6Lq/pkdQqr/n1S1SlIajXnvHqjhkBB7YBySkZCoc5PrLrOJ/ZQWBOz8qX1zQNSy2pbw/8mY8qqT2/V/vfdW1Z1yWpOUa2uZ7Pyv+2b6ZiSuj/3uLJasqhSTB2gpBJCOqCwZqBZCtBGKlntSld9iJVVnxKA6p433w8tAajGb8rq2KJaXdMmVbXokdokpahW89vJaqmSSkH1gKJKCBmAwpqcg22t1tPU1MmqZTeAIVkds141JlVNWaNaXSvt4//YXaeapBbV6hpxslqioFJOA6CkkmKJ6xLAna7SQGFNjCpww/VHAchXAtAnqqElACGLqqwf/VfXsZXU0Eb/1bgwQa3mc5dPH1FNLajVNfJJaolyClBQvaGcEkIiobCmRiWLqKZaWLXxvmPT/+b7Y9endkmqq5xWY90Etbqem6QC8YupUtak7l9juZJKOfWEckoISQCFNTEKG1FN+dg/taRat6aqxttJaipBreb2W8VvLaqhglrNHyZqUxZVyqkHFFNCSEYorKmpJW9dVi0f/VsmqkOimjJJra6TT1RdGvpX8/oJajV3OkkFukU1Z3p68LrhNaljSirlNALKKpkxCvUur2qeT+yhsCZG0VxglSdVtXj03xTVkiUV8BdVnwS1mj9titp3jpWkjimnB+fJL6oUVEIImS4U1gz0yWruVNX38f/2rn2D/2r+8R77r4uqpaACeSQVGBbVWDHdv850209RUAkhZD5QWFOzVxKwL6KpF1WFpKpdj/+bspoiTd04FrnS3yVRdV3Nvz9PHkkFwtLUEgW1mi+PpFJOM8FSALIINKr+n22t0kBhzUDftqk+u1W5Jqvr/51CVsdMVIH4R//rsmotqYC9qAJpZXWqO05RUhNAISWEFAqFNTErHeuqWV1nqGYVcC8DqP7bRlZ9RLU6Fl6jCuRLVS0f+QNpRBVIJ6tTE1UKqgEUUkLIRKGwZmSoFAAYXmDVOqalZjWVrMaK6saxRKlqdaxdVn16pFb32/9oKFRUgfx1qlOSVApqIJRSQsgMobBmwKcUAOjvBhArq0Mtq7a1uwSgPWltl9TqGn6P/oF8iarvyn6gX0yHzgXiktTq/H6Bm5KMtkFBDYSCSogtqnGlVsoa1hRQWBOjKyFsKQXoqltdP9asW11/z1VW+zoB9NWrdolqbH0q4PbYH7BNU5uSWrKcVnOkFdSxG/VTUAOhoBJCFgiFNSPNUgDAf5FVm6z6bgbgWwLQJqouklqdY/fIH4hPU5uiGSumwLCcAjaP910FdWwR7YOSGgAFlRBCKKw5aPZbbUtWfcsA+lpX+W4G0FcC0JTVkkW1WZvaJaq+O0vtHXfc+cQiPd2fa9qSSkH1gGJKSBEoNOoJFne6SgOFNTEKqXat6hBVYLjPasrFVdayWsKKf1dRjVm5v8K1V59PPZTPN8oSRZWS2gOllBBCgqCwpkaBQ9tHAIjfvcpnQwCLxVXrTKGPqouoNiXVWkwPzu0nbr7/oi9JVimpDSimhBBiCoU1MYrh/qpbu4eNts3qUCeALdU9KU216r80UQ3d4SRXm6kSRJWCCkopIbNFI7/PsiQgBRTWxKjKqKLqumvV+q+bJQArUd37dabH/tV8/iv++x79r4tqTjGtrhdWE8XWUhFQKgkhZBZQWDMQK6oudarVr/s7AFTnor6X/V931ap2iWpsSyrAXVKreW1FFbBdGNVGiS2nJiGjFExCCCEtUFhrROQYAL8O4JEAjgVwPoBfVNVLYuZdLboCyhHVrr6q66LaJamu9ahAv6RWx923TfVpTeUrqlENomHTsD9WUIuXUYooIYR4EeMlqZxmTCisAEREALwFwOkAXgPgEgDPAHCBiNxdVS+Pmd9VVHMtpnJ97N+U1JBH/NUx9wS1Or9/Nf/Qav+2+tSmqI61ralFclqMnFJCCSGzRCO/z8bXsMZ4SWqnGQsKa8XDAZwB4IGq+i4AEJHzAHwWwHMBPDV04l2VwS1VfRv/r34ds0vVjmrvI/+mpG7LTlRiWs21KXwuu0+5tKOykFSrrU0tH+ePIqcUUUIIGZsYL0nmNGNCYa14KIALVx8sAKjqxSLyRgCPFJGnqYZvDtzspTp20/+uR/5tkgpU6elKTofS0ur8YTGt7mdYTvvGukhqNW5T+kqrMU0uppRQQgiZEjFektRpxoLCWnEGgPe0vP8RAI8CcBsAXwyZWBW4fudG3qv9fVtS+SapXY/715PUpqT27SpVjXeXzVgxBboXTnUlqSX0OU0qppRSQggxQCO/n5q4YIyXJHOaMVm8sIrIEQBOBPD5lsOr905B4Ie7C8G3tqo/5q4Eta8edfXrkH6pvikqUElqU1BXchry+L5v7FDT/r6V/BaP9ycnpJ0XpagSQshciPGS1E4zJosXVgA3rV+vbzl2bf16dN8EInJhx6E7XnHDVXjxpa8HsPZvLt3/7+a/w1Yh/cb7a8fW36teD57UnHt9X+PVf++/rn4TzffXztbme2130Xx36F+YDv8CdXhi4b5ns9XTj9KeopR2P4QQYsqJY1xUW8rdPDm5yw1U9bSBc2O8JNppSoXCCtykft1tObaKro4MnHt3B7vXXLH1jfL/JTPsPSfXrxenvRESCD+fcuFnUy78bMrmjgBunPmaVv9fiBHtGC9J6TSjQmEFrqlf2/4sjqhfr+6bwOFfS5Nn9S/FJfxepwg/n3LhZ1Mu/GzKpufpZTJU9WG5r9lCjJdEO02pHDb2DRTAN+vX41uOHVe/XpXpXgghhBCybGK8ZLZOs3hhVdVtAFdg/9HQOqfUr1/Jd0eEEEIIWSoxXjJnp1m8sNacB+Be9eq6dU4HcJGqXjrCPRFCCCFkmcR4ySydhsJacS6AW6HqTwYAEJFTADwYwFvHuilCCCGELJIYL5ml03DRVcWbAbwfwKtE5DaoVtc9BcDlAF465o0RQgghZHE4eYmI3BfACar6Jt9zp4ZMcHeuJIjITQG8GMCPo+pRdj6AM1X1C2PeFyGEEEKWh4uXiMh7ANxXtd55yOPcqUFhJYQQQgghRcMaVkIIIYQQUjQUVkIIIYQQUjQUVkIIIYQQUjQUVkIIIYQQUjQUVkIIIYQQUjQUVkIIIYQQUjQUVgIROUZEXiEil4nI1SLyFhG5neO59xSRd4vIlSJykYi8WkRulviWF0PMZ9OY594i8nwRuZ/9XS6X2M9HRG4sIi8XkX+v/w6dLyL3T3nPSyHy+9p3icifiMilIvINEXmXiHx/6nteGiJyhIi8TURO8jjH5HsimR7sw7pwRERQ7Tt8OoDXALgEwDMA3ATA3VX18p5zvwfARwD8BYD3AbgzgCcB+CKAe6nq15Pe/MyJ+Wwa8xwB4JMA7gTgBar6/BT3uzRiPx8RuQWAvwZwKoDXAfgUgJMBfEJV/zLdnc+fyO9rtwXwcQCXAfg9ANcC+DEA/w3Aw1T1b5Le/MypP5vbALgrgF8B8P0AbufS0N7qeyKZKKrKrwV/AfhRAArgjLX3TgawDeC3Bs79OwCvaLz3gHq+V1jf69K+Yj6bxjxPqj8rBfD8sX9fc/mK/XxQyerXAdx17N/L3L4iv6/9HwBfAXCztfcEwDsAfGHs39vUvwB8V/3Z7AD4cv3fJ6X+XPk1/S+WBJCHArhQVd+1ekNVLwbwRgCPrP9Fu0H92P8HAfza+vuq+m5UcvQTqW54QQR9NuvU2/M9HwATO3uCPx8RuWd9/ktU9ZPJ73R5xPzduQeAD6jqlWvnKoC3AbitiByf5pYXw+UA7gbg5gB+0/Pc6O+JZLpQWMkZAD7W8v5HAJyA6tHNBvU388ep6ldbDn8SwAn1I08STtBn0+CXAWwBeIvdbZGamM/nl1B9Lr+X4L5I3GfzzwBOEZHmz8c7AfgSgP8wucOFoqrXq+onVfWbAadbfE8kE4XCumDq2sYTAXy+5fDqvVO6zlfVP+o4dCtUj3uujrrBBRP72dRz3BqVGP1vAIdMb3DhGHw+dwHwWQA3F5G/rBf2fE5EHmt8q4vD4LM5C8BxAM4RkdNE5CQRORPAowE8oU5bSWYsvieSaUNhXTY3rV+vbzl2bf16tM+EInI4gHsDeJ+qUpLCsfhsXgjgSgCvNronsk/w51MndyfXv3wngItQSdKVqCTpIXa3uUii/u5otfjn7gBuiyptvQTALwL4PlV9u91tEk/Mf16RaXH42DdARuUm9etuy7Gd+vVIzzmfhSphZQ1rHFGfjYjcGcBjATxZVa8VkWOM72/pxHw+34HqB+udAdxHVS8AABF5ParV6WcBeKvdrS6O2L87RwN4LYBbA3gcgGsA/AKAN4jIGar6JcN7Je6k+HlFJgQT1mVzTf3a9g+XI+pX58f6InIPAM8D8FhV/UDkvS2d2M/mJaiSodda3hTZI+bz2a5f/3Elq8BeXfhfALg3exlHEft350UA7oPqHxOvU9U3oKqdvA7An3Fhz2iY/rwi04PCumxWRe9tq16Pq1+vcplIRG6PKhV6tqr+qcG9LZ3gz6ZuPP9gVNJ6lIgcC+DY+vCRInJsnSKRcGL+7qzO/VzLsUvqVzZCDyfm786NADwRwLm61tNTVbcBnIOqM8od7W6VeGD284pMEwrrgqm/CV+B/Xq6dVbF618ZmkdEbgXgXQBeo6ovt7vD5RL52dy3fv19AN+qv1YidFb969+1udNlEvP51LXdl6AqnWlyo/p1u+UYcSDy784tABwD4Astx1bvnRR+dyQUq59XZLqwhpWcB+ABInKEqm6tvX86gItU9dK+k+uehO8E8GZU/T6JHaGfzTkAzm+8dzMAf4NqR6VzUPVCJHHE/N35IICHi8jh9Q/iFav07pKWc4g7oZ/NFagWv9225dhJ9eu/WN0k8Sbq5xWZNkxYybmokp5Hrd4QkVNQPVLuXfhRP2p+G4ALADyT7V7MCfpsVPVSVb1g/QvAh+rDq2P8oRtP8N8dAH+EahHJT62dewtUrZP+WFVZixdH6N8dBfBXAB5RPzlanXsEgJ8H8AnwHxNjEvN3jkwcoWMsm7pm672o+kL+OqoVmE9Blb7fRVWvqMfdF8AJqvqmtXPfhSp1eA7aV26+XVWvaXmfOBDz2bTMdUtU6dELVPX5iW99EUT+3REAb0C1P/2vo1rQ8wRUtXj34kr0OCI/m1sC+CiqQOcVqBb7PB7VxgE/pKr/mPG3MktE5BH1fz4M1T/anozqqc8VqvreekzbZ+P0uZJ5QmElq+07Xwzgx1G12zkfwJl1P8LVmPcAuK+qytp7Q//nud36HMSf0M+mZR4KawJiPp/6h+/zATymPvc9AJ6hqqzDMyDyszke1aLFH0aVhL8fwK+o6mez3PzM6fnZ8V5VvV895j1o/2wGP1cyTyishBBCCCGkaFjDSgghhBBCiobCSgghhBBCiobCSgghhBBCiobCSgghhBBCiobCSgghhBBCiobCSgghhBBCiobCSgghhBBCiobCSgghhBBCiobCSgghhBBCiobCSgghhBBCiobCSgghhBBCiobCSgghhBBCiobCSgghhBBCiobCSgghhBBCiobCSghZFCJykoioiLxXRI4Xkd8UkS+IyLaIvGLs+yOEELLJ4WPfACGEZOZu9es1AD6F6vvgPwD4DICPjHRPhBBCeqCwEkKWxl3r1wcBeA2Ap6nq9SPeDyGEkAEorISQpXG3+vUDAJ6oqrsj3gshhBAHWMNKCFkad6tfn0lZJYSQaSCqOvY9EEJIFkTk2wBcCeAyALdWfgMkhJBJwISVELIkVvWr/0BZJYSQ6UBhJYQsibvVrx8f8yYIIYT4QWElhCyJVcJKYSWEkAlBYSWELIm71a8UVkIImRBcdEUIWQQicjiAqwF8XVW/c+z7IYQQ4g4TVkLIUrgjgKPAdJUQQiYHE1ZCCCGEEFI0TFgJIYQQQkjRUFgJIYQQQkjRUFgJIYQQQkjRUFgJIYQQQkjRUFgJIYQQQkjRUFgJIYQQQkjRUFgJIYQQQkjRUFgJIYQQQkjRUFgJIYQQQkjRUFgJIYQQQkjRUFgJIYQQQkjRUFgJIYQQQkjRUFgJIYQQQkjRUFgJIYQQQkjRUFgJIYQQQkjRUFgJIYQQQkjRUFgJIYQQQkjRUFgJIYQQQkjR/P/QzYuJFuLqSAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Noise level\n", "fig, ax = plt.subplots()\n", "contour = distance_rclustering.summarize(\n", " ax=ax, quantity=\"ratio_noise\",\n", " contour_props={\n", " \"levels\": [x/100 for x in range(101)],\n", " }\n", ")[2][0]\n", "colorbar = fig.colorbar(mappable=contour, ax=ax, ticks=(0, 0.5, 1))\n", "colorbar.set_label(\"noise / %\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ratio of outlier-points depends on the search radius *r* as well as on the similarity criterion *c* and increases continuously with the set density threshold. For high density thresholds (low *r* and high *c*) the noise ratio is comparably large. The desired amount of noise depends much on the nature of the underlying data set." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:37:22.562933Z", "start_time": "2021-10-02T14:37:22.253977Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Largest cluster\n", "fig, ax = plt.subplots()\n", "contour = distance_rclustering.summarize(\n", " ax=ax, quantity=\"ratio_largest\",\n", " contour_props={\n", " \"levels\": [x/100 for x in range(101)],\n", " }\n", ")[2][0]\n", "colorbar = fig.colorbar(mappable=contour, ax=ax, ticks=(0, 0.5, 1))\n", "colorbar.set_label(\"largest / %\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ratio of points assigned to the largest cluster shows a similar trend as the noise-ratio, only that it changes in a rather step-wise manner. This view could give a good hint towards reasonable parameter combinations if one already has an idea about the expected cluster size. It also shows for which parameters we do not observe any splitting (about 100 % of the points are in the largest cluster). " ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:37:22.800264Z", "start_time": "2021-10-02T14:37:22.564388Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Number of clusters\n", "show_n = 5\n", "\n", "fig, ax = plt.subplots()\n", "contour = distance_rclustering.summarize(\n", " ax=ax, quantity=\"n_clusters\",\n", " contour_props={\n", " \"levels\": np.arange(-0.5, show_n + 1.5, 1),\n", " \"vmin\": 0,\n", " \"vmax\": show_n,\n", " \"extend\": \"max\"\n", " }\n", ")[2][0]\n", "colorbar = fig.colorbar(mappable=contour, ax=ax, ticks=range(0, show_n + 1, 1))\n", "colorbar.set_label(\"# clusters\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The probably most telling view is given by the *number of clusters* plots. The analysis demonstrates nicely that for this data set a splitting into 3 meaningful clusters is hard to achieve. With increased density threshold, the number of obtained clusters does at first increase before it drops again when low density clusters become part of the noise. In general, clusterings that are stable over a wider range of parameter combinations tend to be more meaningful." ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2019-09-19T10:35:00.015683Z", "start_time": "2019-09-19T10:34:59.968481Z" } }, "source": [ "### Hierarchical clustering" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To use the hierarchical approach on clustering this data set, we will apply a pair of cluster parameters that will extract the lesser dense region of the data as an isolated cluster in a first step. That means we choose a comparably low value for the similarity criterion *c*. We can refer to these parameters as *soft* parameters, leaving the more dense regions of the data untouched and in one cluster. Remember that density in terms of common-nearest-neighbour clustering is estimated as the number of common neighbours within the neighbourhood intersection of two points with respect to a radius *r*. More common neighbours (higher similarity cutoff *c*) and/or a smaller neighbourhood radius (smaller *r*) will result in a higher density requirement. To make this more clear let's have a look again at some clusterings." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:37:23.189066Z", "start_time": "2021-10-02T14:37:22.801645Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Cluster attempts in comparison\n", "fig, ax = plt.subplots(2, 2)\n", "Ax = ax.flatten()\n", "for i, pair in enumerate([(0.3, 1), (0.3, 3), (0.3, 40), (0.3, 100)]):\n", " distance_rclustering.fit(*pair, member_cutoff=10, record=False, v=False)\n", " rclustering._labels = distance_rclustering._labels\n", " _ = rclustering.evaluate(ax=Ax[i], ax_props=ax_props)\n", " Ax[i].set_title(f'{pair[0]}, {pair[1]}', fontsize=10, pad=4)\n", "\n", "fig.subplots_adjust(\n", " left=0.2, right=0.8, bottom=0, top=1, wspace=0, hspace=0.3 \n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For these clustering, we again keep the radius fixed while we increase the similarity cutoff and therefore the density threshold. \n", "\n", "__Upper left__: Choosing a low (soft) threshold, results in no cluster splitting. The data set as a whole forms clusters in which the point density is *at least* as high as our density requirement.\n", "\n", "__Upper right__: When we increase the density requirement just a bit, we observe a splitting between the broadly distributed lower density cluster and the more dense clusters. Within both the resulting clusters the point density is higher than required by the parameters but they are separated by a low density region and therefore split. This parameter set can be used for the first step of the hierarchical clustering.\n", "\n", "__Lower left__: Increasing the density requirement further, eventually leads to a splitting between the two denser clusters. At his point, the broader low density cluster has already vanished into noise because the density within this cluster is lower than the density between the just split denser clusters. We could use this parameter set in a second hierarchical clustering step.\n", "\n", "__lower right__: Choosing even harder parameters leaves only the densest cluster. The second densest cluster falls into the noise region." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The central element of the hierarchical cluster functionality is the `isolate` method of a `Clustering` object. After a clustering (with soft parameters) we can *freeze* the result before we start to re-cluster. " ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:37:23.240691Z", "start_time": "2021-10-02T14:37:23.192280Z" } }, "outputs": [], "source": [ "# After the first step, we need to isolate the cluster result\n", "rclustering.fit(0.3, 3, member_cutoff=10, record=False, v=False)\n", "rclustering.isolate()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `isolate` method will create a new `Clustering` object (a child clustering) for every cluster of a cluster result.\n", "In our case we get two new child clusters (plus one for outliers). The clusters are stored in a dictionary under the `children` attribute of the parent `Clustering` object. The children dictionary of the data after isolation holds a `Clustering` object for each cluster found in the last step." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:37:23.250964Z", "start_time": "2021-10-02T14:37:23.242316Z" } }, "outputs": [ { "data": { "text/plain": [ "{1: cnnclustering.cluster.Clustering,\n", " 2: cnnclustering.cluster.Clustering,\n", " 0: cnnclustering.cluster.Clustering}" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "{k: type(v) for k, v in rclustering.children.items()}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since we will use different cluster parameters now for different clusters it would be nice to have something\n", "to keep the overview of which cluster has been identified under which parameters. This information is provided by the `meta` attribute on the object that stores the cluster label assignments on the `Clustering` which we get with `Clustering._labels`. Note that this is different to `Clustering._labels` which only return the actual labels in form of a NumPy array. The label meta information tells us three things:\n", "\n", " - `origin`: How have these labels been assigned? The entry `\"fit\"` means, they were obtained by a regular clustering.\n", " - `reference`: This is a related clustering object, i.e. the object that is associated to the data for which the labels are valid. For `\"fitted\"` labels this is a reference to the clustering object itself that carries the labels.\n", " - `params`: This is a dictionary stating the cluster parameters (*r*, *c*) that led to each cluster. For `\"fitted\"` labels, each cluster has the same parameters." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:37:23.260370Z", "start_time": "2021-10-02T14:37:23.252213Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "params: {1: (0.3, 3), 2: (0.3, 3)}\n", "reference: \n", "origin: 'fit'\n" ] } ], "source": [ "print(*(f\"{k}: {v!r}\" for k, v in rclustering._labels.meta.items()), sep=\"\\n\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Every single isolated child cluster is represented by a full-fledged, completely functional `Clustering` object itself. When we want to re-cluster a child `Clustering`, this is no different to clustering a parent `Clustering`. " ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:37:23.271234Z", "start_time": "2021-10-02T14:37:23.262265Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "alias: 'rootroot - 1'\n", "hierarchy_level: 1\n", "access: coordinates\n", "points: 667\n", "children: None\n" ] } ], "source": [ "child1 = rclustering.children[1]\n", "print(child1.info()) # Child cluster 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note, that the `hierarchy_level` in the above overview has increased to 1. We can again plot the distance distribution within this child cluster to see how this changed." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:37:23.403626Z", "start_time": "2021-10-02T14:37:23.273526Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "distances_child1 = pairwise_distances(child1.input_data)\n", "fig, ax = plt.subplots()\n", "_ = plot.plot_histogram(ax, distances_child1, maxima=True, maxima_props={\"order\": 5})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And then we can attempt the second clustering step." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:37:23.495031Z", "start_time": "2021-10-02T14:37:23.404901Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-----------------------------------------------------------------------------------------------\n", "#points r c min max #clusters %largest %noise time \n", "667 0.300 30 10 None 2 0.505 0.153 00:00:0.036\n", "-----------------------------------------------------------------------------------------------\n", "\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Now cluster the child cluster\n", "fig, ax = plt.subplots()\n", "child1.fit(0.3, 30, member_cutoff=10)\n", "_ = child1.evaluate(ax=ax, ax_props=ax_props)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a little extra feature a `Clustering` object has a `pie` method that allows to visualize the current state and splitting on the different hierarchy levels as a pie-diagram (from level 0 in the middle to lower levels to the outside)." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:37:23.628913Z", "start_time": "2021-10-02T14:37:23.496478Z" } }, "outputs": [ { "data": { "text/plain": [ "(-0.3, 0.3)" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The cluster hierarchy can be visualised as pie diagram\n", "fig, ax, *plotted = rclustering.pie(\n", " pie_props={\n", " \"radius\": 0.15,\n", " \"wedgeprops\": dict(width=0.15, edgecolor='w')\n", " }\n", ")\n", "ax.set_xlim(-0.3, 0.3)\n", "ax.set_ylim(-0.3, 0.3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively, a hierarchical tree can be drawn using the `tree` method." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:37:23.763098Z", "start_time": "2021-10-02T14:37:23.630234Z" } }, "outputs": [ { "data": { "text/plain": [ "(
, )" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Tree shows only isolated clusterings\n", "child1.isolate()\n", "rclustering.tree()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have isolated one cluster in the first step and two others in a further splitting on a lower hierarchy level, the last step that remains, is to put everything back together. This can be done automatically by calling `reel` on the parent cluster object into which the child cluster results should be integrated." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:37:23.767330Z", "start_time": "2021-10-02T14:37:23.764571Z" } }, "outputs": [], "source": [ "# Wrap up the hierarchical clustering and integrate the child clusters into\n", "# the parent cluster\n", "rclustering.reel()\n", "\n", "# Manually sort clusters by size (make largest be cluster number 1)\n", "rclustering._labels.sort_by_size() " ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:37:23.854460Z", "start_time": "2021-10-02T14:37:23.768996Z" } }, "outputs": [ { "data": { "text/plain": [ "(-0.3, 0.3)" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rclustering._children = None\n", "fig, ax, *plotted = rclustering.pie(\n", " pie_props={\n", " \"radius\": 0.3,\n", " \"wedgeprops\": dict(width=0.3, edgecolor='w')\n", " }\n", ")\n", "ax.set_xlim(-0.3, 0.3)\n", "ax.set_ylim(-0.3, 0.3)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:37:23.918057Z", "start_time": "2021-10-02T14:37:23.855744Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "_ = rclustering.evaluate(ax=ax, ax_props=ax_props)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Label prediction" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2021-03-22T17:46:20.686581Z", "start_time": "2021-03-22T17:46:20.680283Z" } }, "source": [ "Now, the parameter information saved for the labels becomes useful as they differ for the clusters from different clustering steps." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:37:23.922530Z", "start_time": "2021-10-02T14:37:23.919396Z" } }, "outputs": [ { "data": { "text/plain": [ "{'params': {2: (0.3, 3), 3: (0.3, 30), 1: (0.3, 30)},\n", " 'reference': ,\n", " 'origin': 'reel'}" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rclustering._labels.meta" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:37:23.932192Z", "start_time": "2021-10-02T14:37:23.923790Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Label\tr\tn\n", "--------------------\n", "1\t0.3\t30\n", "2\t0.3\t3\n", "3\t0.3\t30\n" ] } ], "source": [ "print(\"Label\", \"r\", \"n\", sep=\"\\t\")\n", "print(\"-\" * 20)\n", "for k, v in sorted(rclustering._labels.meta[\"params\"].items()):\n", " print(k, *v, sep=\"\\t\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The cluster result is satisfying. But we have clustered only a reduced set of 1000 points. We would like to predict the cluster label assignment for the full 100,000 points on the basis of the reduced set assignments. This we can do with the `predict` method of a cluster object. We call `predict` with another cluster object for which labels should be predicted as an argument. Similar to a regular `fit` we need to compute neighbourhoods for the points that need assignment, but this time we need relative neighbourhoods between two data sets. We want to compute the neighbouring points in the small set `rclustering` for the points in the big set `clustering`. When we predict labels we should do the prediction separately for the clusters because the assignment parameters differ. This is where the label info comes in handy showing us the parameters used for the fit as an orientation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "**Info:** A cluster label prediction requires a `Predictor` in the same way as a clustering requires a `Fitter`. See tutorial [Advanced usage](advanced_usage.ipynb) for details.\n", "
" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:37:31.629067Z", "start_time": "2021-10-02T14:37:23.933421Z" }, "run_control": { "marked": true } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, '3 (0.3, 30)')" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmoAAADpCAYAAACUaRsgAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAABcSAAAXEgFnn9JSAADNPklEQVR4nOz9eXhc53nej3/O7PuKwWAHAZKCSFELaYuyvEmqLLmJ7dZpnbhJl9RJ0yRtkzRJ+02ztWnSpmn6S+02TeImddYm8VLHTrwkkmxL1GpKIilSIEgQxL4OZt/3Ob8/Bu/LGWzEDpA493XhGnLmzJkzZ859nud9lvtRVFVFgwYNGjRo0KBBw8GDbr8PQIMGDRo0aNCgQcPq0Bw1DRo0aNCgQYOGAwrNUdOgQYMGDRo0aDig0Bw1DRo0aNCgQYOGAwrNUdOgQYMGDRo0aDig0Bw1DRo0aNCgQYOGAwrNUdOgQYMGDRo0aDig0Bw1DRo0aNCgQYOGAwrNUdOgQYMGDRo0aDig0Bw1DRo0aNCgQYOGAwrNUdOgQYMGDRo0aDig0Bw1DRo0aNCgQYOGAwrNUdOgQYMGDRo0aDig0Bw1DRo0aNCgQYOGAwrNUdtBKIpiUxTlLUVRPrHfx7IfUBTlXYqihBRFObrfx6LhzoWiKK2KoowrivLUfh/LTkJRlP+hKMqXFUXR7rsatgzNzhw+O6Ooqrrfx3BXQFEUBfhjIK+q6j/f7+PZLyiK8q+AHwLerapqdr+PR8OdBUVRDMBzwHOqqv7qfh/PTkJRFBNwDviaqqr/ab+PR8OdB83O1HHY7Iy2sluCoihGRVG+rijKkS3u4vuBvwf8+1X2bVtaTS8oipJZWlX3beLYjimK8qeKoiwqihJVFOUriqLcv8XjXL7vv6UoyrcURUkrijKpKMrvKIoS2MZ3+G3ABvz6ThyfhjsDiqK8Q1GUbyqKklAU5bqiKL+tKIpnC7v6BeA48MlVPqNFUZQ/UhQltvQ5f6Qoin8Tx3hGUZS/UhQlrijKvKIof7YNvi/f98cURfm2oihZRVFuKoryXxRFcTRuo6pqCfi3wC8rivKunfhcDXcGdvAertmZOg6XnVFV9dD+AQrQDXwYeBlQgSNb3M8Q8OtrvPYskAD+G/AvgBvALNC6gX0/AMSAbwM/BvwwcBVIAwPb/P7fD1SAzwP/DPhZIApcBqxb/Q7AvwLyQGC/f2Ptb/f/gPuBAvCHwA9Sd7KKwE3Av4n92Jau9X+xymsWYBCYA34J+ClgHngbsGxg308tXZN/A/wI8BPAFDCzER7eZt+/AJSB/wN8AvhPDZ+lW7atArwJfGG/fzftb2/+duoertmZFfs9NHZm3w9gX7889FB3zqpLBmCrjtpTS+89u8prH1167amG544uXbi/uYF9fx74TOMNH+gAasD/2sZ31y8Zuu9f9vzHl473Y1v9DoBjiWw/v9+/sfa3+3/At4D/sey5J5eumf+xif380NJ72lZ57V8vXW8nGp57bGn7n97Avl8H/v2y5x5Zev+/2cZ39wBZ4Mllz//M0r7fucp7/uHSPad3v3877W/3/3bqHq7ZmRX7PjR2Zt8PYF+/fH2V/iDgAv4NW3fU/gQIs2z1vPTaZ4DBVZ7/c2CRpTrBdfZ9H+BY5fko8NVtfv9HVnnu/uXGayvfAfgCMLTfv7H2t7t/S45KBQiu8to3gcVN7Osl4M01Xvvmatc78Brw+gb2/U5Av+w559K1vmVDtLSf1Xj0keWGaNnn1oD/b79/P+1v9/926h6u2ZnDa2cOdY2aqqoFVVUvq6qa2uau3gU8q6pqbZXXngIurvL8G0AA6LrNMV5VVTXT+JyiKPcCPuDS1g5X7vv8Kk+/Z+mxcd9b+Q4XgHsVRXFv5xg1HGyoqpoAfkBV1dAqL18GAhupI1MUxUjdmXpmldeswHtZ+xp8YOn96x3nm6qqVpc9vdq1vmnchkdvrbJ9mnpK55HtfK6GOwM7eA/X7MxKHAo7c6gdtZ2Aoig+4BgwssprRuo1cGOrvFU8N7DJzwsAf0B9pfPbmzrY2+/7DPDLwCvA80vPbfU7XKBec/DwTh6jhoMHVVX/eI2X2qmn+DJrvN6IU9Qj3Ct4BHQCJta+Bs1A7wY+Q2KpQPk3qdfR/flm3ruBfT8N/DjwZ6qq3lxjswtojtqhxFbu4ZqdAQ6xndEcte3j3qXHxVVecy49FlZ5Lbf0aNnIhyiK8sOKorxOvQC6F/iwqqrzmznQdfb9aUVRrlC/6G9ST9eIVdtWv8PE0uM9O3GMGu4sLMlsvBt4SVXV4gbecmLpcTUeuZYed4JH/0FRlAvUDV4F+JCqqrnbvG1DWOpQu049Kvgc9YLstTABdCqKYtuJz9Zw8LHNe7hmZw6xndEcte3Ds/QYXuU1+9LjaqFqkYYxbfBz4tTDxC9RjyB815Ix3AnMAOeph5h7qYegBbb6HZJLj96dOEANdxx+hnpE7ec3uL1n6XG3ebRI3VC8CrQAf0dRFGWD770dxpf2+zZwEnjfOttq/Dh82M493LP0qNmZZhwKHu3UD3CYIXLjq610hBDfaudZ1NRsJC2Eqqqfp96Zg6Iop4EXqRuaH9zwka69bym+qSjKDwJ/rCgKqqr+CVv/DqLuz7Pd49NwZ2EptfHvgU+oqvrqBt+2Vzz6nYbjfJq6hIYV+JWNHea6+/7Jpf0q1FM7X1EU5SlVVZ9fZfNGfsxu97M1HHxs8x6u2ZlDbGe0iNr2oS49Li9UhlsXkW+V10Q6J7nKa+t/oKpeot4B9AOKohzf7Ptvg98HrgG/umRwtvodBOG0a+wQQVGUfuCrwM+pqvqnm3jrejxKLD3uNI+epe6o/ayiKK7bbb+J/arAf6auQfXLa2ym8eMQYwv3cM3OHGI7c1d/uT1CYulxRdeJqqoV6qHq1WaSicLIreb/B5ceH9zi+1fFkpEZpN5h49/Gd2hdeozv5PFpOLhQFKWdem3W76mq+hubfHti6XG17q0w9ZTIWtdgka1fZ4PUI2o7WuOiqmqBeh3c6TU20fihYTP38MTSo2ZnmnEoeKQ5attHYulxrfbgZ4BHVpEPOAtcV1V1ar2dL7VIr4aOpcd137/OfoNLnURr7TvLrYt/K99BEGjTKzkNdx6WrqVngS9RnxywWSSWHlczRGnqtV/vbawnW/r3WeB5tT6eaa1js6wzSme7POpTFMW8yvPK0r7X2q/Gj0OCHbqHJ5YeNTvTjEPBI81R2z5Eu/RahuAvqRdV/wPxhKIoA8B3Uk8RrYmljrDnFEV557LnHcA/Aaapa1VtBQ8Bf6koStuyfT9EvVvvaw26U1v5DoJA17Z4fBruECxdj1+nPobt3y6tljeLG0uP6/HondT11ASepC7rsS6PqBcuf01RlGONTyqK0kFdDf11VVVXq/3ZCJ4G/myV1OlHqMuKfGWN97UCs0tOqIa7FDt4D9fszOo4FHbm0DcTKIrysaV/PrD0+J2KoiwCYVVVz93u/aqqRhVFuQm8Y41NvkRdL+a3FEXpop7C+VfUi0KbBsoqivIY9bll/29p3zlFUX4ZeFVRlC9RH9VjBP450AZ8pFH6YPn7b4PnqI+yuaYoyv+l3gnXQX1CQwj4ya18hwYIo/jmBo5Fw52NLwF+6ppIf3+VJsq/VlU1u+JdzXibemv+O4DVatt+h7rcxecVRfmv1IuHf5x6+uQzjRsqivKdAKqqfn3pcVhRlC8CVxRF+Sz1a9lNfd5njfroqjXffxv8EfDdwLCiKH9MfRbjPdRnkV5j7Rq1Y9THWmm4i7HZe/g6+9HszOo4HHZmv0cj7Pcf9SLN1f5e2MQ+/gSYWud1J/Bb1C+4FPAXrDKqCniBpfT9sucfpd6JM0E9j/9V4KGNvn+d41KAf0y9oDpKXV7gM6wy5Haj36Fh+2eBa/v9+2p/u/+3DofE35rXybL9vAS8uM7rbdSduDj1AdJ/yCpD35d4MrHK898J/BX1WpdZ4HNA30bfv85xGagPsn6eeorqOvDfWWUkz9L2nUvn5Wf2+7fT/vbmb6P38NvsQ7MzK7c/FHZGWfqyGrYBRVH+NvDXwMOqqu6bZ68oykeB/6iq6o4Wfm7hOOzUDekvqar6X/bzWDTcOVAU5UeoTwvoVVV1bh+P418DT6iq+nd3af8/CPxv6k7i9G58hoa7D5qdWXEch8bOaDVqO4Nnqa+if2Kfj+NdrJ422mt8mHrE4Pf2+0A03FH4E+qSFj+6z8ex2zz6GPAlzUnTsElodqYZh8bOaI7aDkCtj8H4deDjSxIF+4XLwP/dx88Xo4N+Cfg/qqpG9vNYNNxZUOt1bL8J/IiiKBsaebNLOMftGxS2BEVR3k29AWGz8iUaDjk0O3MLh83OaKnPHcJSO/6fUZ8f+E/UQ3piFUX5YeoRkXerOzRDUcPhgaIoJuCb1GtEf3G/j2cnoSiKnroT+LW7PVWjYXeg2Zk6Dpud0Ry1HcRSzvxV4NNqw6iawwJFUR6m3mL9XlVVx/b7eDTcmVhq5X8d+FFVVb+238ezU1AU5b8Bx4G/p94aRq1Bw6ag2ZnDZ2c0R02DBg0aNGjQoOGAQqtR06BBgwYNGjRoOKDYFcFbRVEWABt1RWMNGg4yuoGcqqptt91yF6FxRsMdhAPBGdB4o+GOwpZ5syupT0VRUmaz2Xn06GrzVfcPxWKRUunWSEC9Xk+pVJLPmc1mLBYLpVKJarVKrVbDbrdjNjeP8qtUKmSzWbmNTtccmNTr9ZTLZXQ6HaVSiWKxiMlkolarl6UYjUaq1SqVSkW+v1qtyj+oCxErioKiKPJ9qqrKf+t0OgwGA6qqyuMQivBr/aaNivG3+91vt6+dwGaOV5wLk8mEXq+X39dgMGA0GimXy2SzWXl+xPN6vV7uo1KpyPOl0+lQFIVCoYCqqjVVVfUrDmAPcRg4k8/nqdVqFItFdDpdE2+MRqPkQjqdlvwRv/tyzhgMBnQ6Hfl8nkqlAtDExQZBTPkorhdFUSTXNsIDwcXl25oNCm1OI0a9DhUVhRUTGbaE8WiB6hqHtRFeNvJGp9OtyZlarUYmk5HnT9xTTCaTfH+lUpH7q1arjZxRVVXd94zMQeTNRjhjt9sByGQy8rp1OBwYDLdiJ42cEfesWq2GXq+XtkDYmmKxSKVSWZUztVpNXsM6nY5cLid/V1VVJWfEdsuvrUbOiG02gr3kzEyiSKGyth3ZyDGL61xRFMxmM3q9Xp5LcT7L5TK5XE6eB51Ot+Je1/h54j4GUCgUoC4UvGne7NYIqemjR4+evHr16i7tfmsIhUK8/vqtqS1ut5tXX32ViYkJbDYbR48e5YknnqBWq3Hu3DlcLhcej4ezZ88SDAZX7Gt4eJixsTEuX75MLpcjHo/z6KOPYjKZSKVSLC4uEolEmJiYkDfAI0eO0NraSiqVIp/PA5BMJllcXMRkMjEyMkIsFpNEbLxAhHERP7zZbKZSqUjnTjiGqqrKmy8gb9IGg0HebMV71oLZbKZWq0nDuNPQ6/XyuBqPdTmEo9rouFqtVvx+P8VikWAwSKVSIRwOCyKgqqr8Pdvb2+X5KhaLRKNREokEDocDo9HIpUuXqFQq65+MvcGh44yiKEQiEd75znfS29tLMplkdnaWF154gUQiAdSNxKlTp2htbaVarZLNZonH6zOcC4UCZrOZN998k/n5ecrlsjQqggOVSgW9Xi+NnNlsxmAwUCwWKRQKGAwGyuWy5Ju4wep0OlRVldeoeH8jF776z++l17diHvu2oKoq/+yzY7w0unIEqHCylvN7te3EcYpHs9lMIBCgWCzS3d1NuVxmcXFROg/VahWj0UgwGOT48eNYrVa5P6PRyPj4OA6Hg0KhwKVLlyiXywelGeLA8WajnPH7/Tz77LOkUilcLhdPP/30mpyJxWJMT08zPj5OJBKhu7ubd7zjHczPzzM7O8uFCxfW5IzAzMwMhUKBZDLJ1NQUkUiEfD6P0+mUi1xVVSWPjEYjhUIBm80GQKlUkq8JzjQGDwSEIynsTeMx7BdnhLO7FhqdK/FotVrp6uoin8/j8XhQFIXZ2VkURSGfz1OtVjEYDASDQfx+P16vF4vFgqqqmEwmxsfHURSFYrFINptlcnKSWq22NnHXwV0z6zMUChGNRvH7/SsudoFgMMjZs2flduFwmFAoRDweJx6P09LSQiRSl2Tp6emR74tGo6vuM5lMks1miUQizM7O4nQ6+fa3v8373vc+urq6uHbtGqVSid7eXorFIl6vl1OnTpHJZKhWq7hcLhYXFymXyxiNRtLpNMlkEkVRpAMmPPbW1lb0ej2JRIJCoUC5XCafz0sHxmAwoNfrMZlMctXbeDNvXBGtMotxBUTUYzecNKgbBr1ev67BEd+t8f+5XI5yuYzJZKJarXL9+vUVkRXh0IXDYUwmEyaTCZ/PRyqVolKp4HQ6paO4dAwHwVHbF9yON7fjTH9/P7VajbGxMemkwe05k8vliMVilEolhoaGyOVydHZ2kslkUBSF1tZWMpkMXV1dnDp1Cp1Oh91uZ3R0lEKhwMTEBA6Hg+npabmwAaQTY7FYcDqd8toQ106xWCSfz8uInNFolO9dHmUTN+/lDhqA327YcYMjPvMz33uU+VSJH/t/E1yZu6U8IAzjepxZDlVVyefzFItF9Ho9RqORGzduUKlU5PlovIdkMhkWFxfxeDw88MADRKNRrl27JhdUbrdbLHw0zmyTM+fPnwdu2Zr1ODM7O8v4+Lhc/AM4nU46OztJp9NYLBY8Hg+ZTIb+/v4VnAHI5XKkUikymYyMqtVqNQqFgrwfi0ifuMYqlQrlcplKpSIXQWKxAPXrVbzeGO2t1WrSmRPYbc5EsmV+5HPjq3LmdoGJ5cjn85RKJRRFwWKxEIlE5LkoFoty8WYwGEilUlgsFmw2Gy0tLXg8Hl577TV53/D5fDJQUiqVtsSbu8JRa1zBjI6OrrqaFwgGg/K1aDTK6dOnaW1tJZ1OoygKyWSSeDyOoijS6Pj9/hXkjEajALhcLkqlEiaTCYvFgtvtZmFhAZfLhdVqpVAoUCzW59kWCgXGx8cJBAKcOHGC6elp5ufnUVWVeDzOxMSEXMkbjUa5+hcXwYMPPkgsFmNiYoLFxUUKhQKlUgm9Xo/BYMBqtWKxWGToXUSShOffmFa9HbZycW8Wt3MYl6eUBcrlsnRooU6qcrm8IvWVTqeZmprCYrFw8+ZN9Ho9+Xwen8+Hoij4fL41P+MwYKO8WYszAF1dXYyPj5NIJBgZGeGee+7B4/HcljMiDWOxWLBaraiqyszMDLlc/SZbKpVwOBwoisL4+DgPPfQQR44cIZPJcP36dTKZDLOzs/IGKiLWtVoNp9OJoig4nU56enqo1WqEw2HC4TDpdJpCoYDRaGziDEAikWgqN2jkzHJEsxUW00VanTtveADaXSY+/fE+3v3J5kiRXq9fN2W71vVcq9VIJBLYbDbpkIkovUiX1Wo1crkcoVAInU7HlStXmJqaolqtkslkcLvdeDweTCYTxWLxoETU9hT7yRmxSHW73fj9flRVJZVKSefKbDYTj8dJJBJNnNHr9TLqnMvlmJubk4sZcR2JDIOIItlsNhYXFwmFQqRSKUqlEkajEQCTyYTVapWfJ5w8ka0RWL7giWYrLKSKtLl2hzMtduOqnBE8Xq/EZrX0aLValdkXRVHI5XJyMSe+p1jwJJNJyb2LFy/K59xuNwaDgYGBAcbGxmCLDZx3haMmLubG/6/lqDVChCu9Xi9TU1O4XC4AvF4vbreblpYW/H4/wApy+v1+vvWtb7GwsEBbWxtms1lue/z4cQDuv/9+RkdHGRsbI5VKcfz4cXK5HO3tdVHpqakpuYKNxWJyFaLT6WRtlV6vx2q14vF4GB0dJRKJEI/HKZVKskZBrKaCwSCxWIxoNLoiZbmZVfheoDE9sxbWe11ERaDuuAHS4IjQvNFoJJ/Pk8lkUFVV1lKlUqkmJ/awYiu8aeQM1NM6yWQSr9fL8ePHcbvdnD17FlidMxcuXGBmZgaLxUJbW5v8HRRFoa2tXmObzWalgWhvbyeXy+F2uxkYGOCVV14hGo2ysLBALBaT15GouYK6kxcMBvF6vSwuLpLNZkkkEpTLZXl96HQ6vF4vgUCASCRCKBRakaYRNY2NaLyh/+xXZ/jM9+5ebVSL3ciPvqeV33llUT53u+t1Pc6INKfFYpHfTRgpET0X0fjFxUUZ7RfvE1mHg3Yv2UscNM7cd999pFIpHnnkEc6fP4+iKGQyGSKRiOTM5OQk4+PjhMNhksmkzLaICJlwOiwWCz6fT5YFzMzMyEWwKB8QdiabzRKLxWRtXGNEez3O/PzX9p4zqx1TI9Z7vVQqkc/nm+oCG2vZxF8mkwHqdimdTlMqlahUKsTjcYLBIKFQSHzGloq+7wpHze/3y/Cu+P9G0Bii7uvrY3x8XL42MDAgCTg0NCSfj8fjfP7znyeVSnH9+nXsdjtWq5WPfvSjZDIZUqkUPp+PeDxOOp3G4XDgdrsBZL7f4/Hg8/m4fv06hUKBSCRCKpWSKxOr1UpnZyeRSIRarSbrqkTIGpARA6vVKj9jcnJSRgx2K2W5UxC1EFuFiBKKkHtjLZtIGzcW0IoIY6ODuLi4eODP025iK7xZntaBW8bF6/XKCEMjZwD++q//mvn5eRYWFigWi1itVo4dO4bD4WB+fp7Ozk55swwGg7LeUHBGVVWCwSDt7e2SZ4ILJpMJo9FIa2sryWSSSqVCJBIhEomQy+VkOlVRFOx2u4y42e12wuGwjE7XajXe2WNjPHqrEDyaXdspmU+V1nxtp/CTT3Tw9x7089NfnuTKXG7bTlK1WqVYLEpeNBaIi4VfPp9vKjCHWxFOEY05rNhLzrz22mtMT09z5coVisUifr9/BWfS6TT9/f1MT0/jdruJxWKYTCbR8EEwGMTpdGKxWCgUCrKOTdRe+nw+ANLptKyzrtVqslkO6hEpm82GXq+XTmYkEqFYLFKtVnlHt3VdzjQ6QXvFmX9wpoUf+2K9dEBktLYKEXlu5IwoJRKPIsAiHFeoc81sNjM3NycbE2Br3RN3haO2nAgbiaY1vld4vLFYDKg7aVB30Px+P36/nzfffJPZ2VmGhoZIpVKyvqa7uxu9Xs/s7CxPPvkkFy5ckNG5jo4ORkZGZEFiPB4nn8/zxhtv8NRTT0kCNeb+RbF8rVbDYrFQrVabiqcbVy6ivqRUKhEKhZq6Hncau1mvtlU0ElDceAQEgYxGI263W5JMrCSTyaSsNQD2teNzv7BV3jRyRixyxPUhIg6CM+l0mpmZGYaGhigWiywuLtLR0SEXOO9617vQ6/WyoPrEiRNcu3YNr9cra3oEZ44dO4bX68XhcMiuLOFQeDweisUiRqMRo9Eo6xEFZwRvGms30+k0xWIRj0XhB9/dwo++N7giHR9Kl/mXX7hV96KqKscCZm6Gi9wMF6nWVPS6nelcWwu9PjO/8dFenvrta9veV2PUUEQJ4FZUQdyHLBYLLpcLnU4nG51EdG3p/RpndoEzo6OjxONxrl+/zvT0tFxIWK1WEonECs5A/d583333cfnyZaxWK9lsFpfLxdDQkHTERDqzMVMjUpi5XE6ks2Wtb+MiWjSoiQL5YrGI16rjE48cXM60u0385seO8Nj/HLr9xrfB8tpnaK4XbTynwWAQVVVZXFzEbrejKIp0erezwLkrHDVorglYDesVgC7v0gmHwzK6Njo6Sl9fH6lUStaGiZqxSCTC0NAQTqdTyhKI9928eZOjR4/S1tbG4OAgHo+HmzdvkslkmJ+f58aNGxw9elQ2BogVrdVqxWq1UiqVZNOBiAYtd5Qa05u71Z0pcNCctOVYnhIS57NUKhGPx7FarQQCAdn1JG4+S9jdu8YBxnq82QxnGiPSjZxZWFjg5s2bQL2GplQqce3aNVpaWlhcXCQQCMgF0sLCAk8++SROp5PJyUkAGSGIRqNMTk7S3d0t05zCGTebzbJVPplMys+BlSl/URRfrVa5L2jmk991D91e84rGFXl+nEY++0+P88OfHaPVaeRXPtSNQadQqan84temKVeq6E27fxvt9Znx2QzEcjsXzVqNM6I2NZFIkM/nCQQCOJ1OubDROLN7nDl79ix9fX0MDg4yMzPD7OwsRqORUqlEOBwmlUqRTqdXcKa7u5vp6WnpGIjf8Rvf+AZDQ0OySc5iscjFqoieAk3Naat14YssRD6f51SbhU9+18CGOdPnN/PvnuqUnPm152b3jDPtLtOOcma1FGnjAkdkxdra2nA6neTzeVlXKDpPt4q7xlFbD7crAF1edzA2NoaiKCQSCVKpFJOTk4RCIdmmLMgiUghmsxmdTsf58+c5deoU2WyWdDpNOp3G5XIRCARk3loUTIdCIa5du0Y0GpWv6XQ6CoUCmUxGpuuEIWpsi4ZmeYvVWqQPO0RThog4ivo/ceNr7FLSsBI7xRnBj2g0SiAQwGaz4ff70ev1OJ1Orl+/LjmjqipTU1MoikIgECCXyzEzM0M4HKZYLDIxMYHb7ZYF08Lg1Go1GXWGeneb4ExjkXMjZx7osPKn/+goBv2tepO1YNApfOb7jjYZJoNO4Vc/3L1n15Cqqjxx3MUXL8d27TMa6zbFfWV2dlaey8Oc8twItssZUSKTy+WwWCxks1nsdjs2mw2j0Yjdbsflcq3KGVFmEwwGyWQyDA8Py+CC3W5Hp9MxMzMjbYpOp5PRauGcidroRrsiUnaqqnJ/u4U/+8fHNsWZ5c/9wge7duRcbxQfvs/DH78R2bX9N3aMQ/23m56exuFwyA7RZefp8Nao3Q63KwBtTNM4nU7OnDnDpUuXuHHjBlD/EfL5PA6Hg5MnT9LS0kJ3dzcOh4Nnn31WGone3l4WFhaIRqPUajUWFxdxOp2ymD2RSJBOp6nVaqRSKRnxEcWYQuslmUzKCIF4rVGYsFEHTUh5aFiJxjo1ESkQWkCi1mCJaIe39XMN7CRn+vr6ePjhh9Hr9Xzwgx/k9ddfX5Uzot5SFOeKFvlcLkc+n8dsNlMoFMhms006TqVSSRotEW1bLvIpjkm853e/54g0OBvFcsO0l46+otQdw5FwoUl+YCfRKHgqoiiNdWxim6V/a5xZhu1yxul0yoa2YDDIgw8+SEtLC8FgkAsXLshSj9txJpvNygW/2WwmlUo1dS1CPdJcLBZlucBy2ReR5hNOnaqq/N7H+zbNmf3Gzz/dyVuzuV3jDNBoR2SmpjEtLRY5S9tsyec68I7aRvTRbofVCkDFfmu1GrFYTF7MYjXf29vLzMyMlO2wWq0ypHnmzBl0Oh1+vx+fz8c3vvENrFYrOp1Odn/Y7Xb6+/ulTMcrr7xCIpGQzpeI8jTeHMVfYy2aMDSNchnLvXgNKyEMDNzS1jKZTE3K3Q3dSHfW3ec22G3OCG2oubk5VFWVUeONcqa/v59vfOMbBIP1+paJiQkKhQJWqxW3243L5eLmzZsy+ty4aBE3QrGwEVwQRkxoHzVGVH02PdFsRdbJvLPHhtt64G99K6AoCn/wvf284zcGgbou1XrNDgIb3W65tIJw2ISDvEyVXuPMMqzVaCD2vbi4uC5nZmdncblcHD9+nHQ6TWtrKw8++CADAwM8+OCDG+aMmDYhnASxqBH3Q+F0i+yM6IZurL8SnPHb6zzx2gx3LGc+90+P8/E/HJHO2kb4sBnONHa1CltjtVqbdOQauHP3yXNsRh9tPazVdROPxxkZGcFms5HL5Th+/Dgej4doNIrP55PEAnjwwQe5//778fl8K2px3vnOd/LGG2+Qy+Vkl1oul2NwcJDu7m5effVVhoeHSSaTwK0omHAclqueN+bBG1uCN6J/pqGO1aKMjc7xMl2du8bo7DZnANlYI7ouVVXdNGeefvppxsfHeeutt1CUunp3JBLhlVdeobu7m7feeovx8XFSqZRsGhCrUtEwsKzOUEJw5v1HXfzC0x30+m7V06xVV3OnwGk18Fsf6+Vkm41Oj5mFVInfenmez12Mr9j2gQ4bn/p7vXR5zEzGirJzdC2sdi5FZFTwpqHE4s49icuwW5wRzQPC1rz66qvYbDbsdvuanHE6nTz++OPEYjEmJydJJpO8/vrrG+aM6PwHZAOIKAFYvoBphHju/cdc/OLTnfT6zHtS9L8X0OsU/vD7+vnFr8/wrx9vp9dnZjFd4l98YWIFH3aCM0KPUEQklwVU7r6uz63qo62GxgLQF198kampKRmeFEin03i9Xvx+P9FolNbWVvL5PDabTeqqRSIRpqamZAvz4OAgiqJw8+ZNTCYT4XBYbtfT0yM/a3ldlEjDiZoAWLsh4HY6MBo2jrs9TbxbnBkaGpKSM6vxZiOccTqdpFIpzp8/L5tsarUaoVCIQqFAPB7noYceauJMYzRAPDYK3C4rcAfqN9vf+Ghvkwp6o/bRnY6n7vXKf7e5TPzKd/byy9/Rw9eH4vzkl6bw2w2cDFr53x/vl6mqXp95y11wjXMr70bsFmcAhoeHpa0RHZZ2u31NzjSm6lOplEyjbZQzojNXzBctFovSUROTKRqjawKrceZucNIEHBYDn/x7R+T/W50mvvCJ47w6nuITfza+Jmd+67v7eN//WH882Wq2WZTX7JTdPtCO2lb10dZDKBRicnKShYUFmaa85557gHruv1E/raurS+owzc7O8sYbb5BOpxkdHWVubk52aXq9XtlNaDabCYfDuFwuHA6HVPJunBfYWPwvCp21iNnOYxOSInfNid8NzkB9lTgyMgLUB0kfPXqUrq4uUqkUjz322G05EwqFZGrGarXKiRFCLy0ej2M0GuVEEMEZUdjcOKtP6Bqthc98b/8dmabZDhRF4UP3+fjOk941ndF2l4mfeqKN//78wk58pMaZ22A1W3Pq1CkURVmVM1CfjvHNb36TdDpNPp9flzOi2UDMvBVj9cTCXzRQwS1ZlrW6D//3x/vw24078r3vFCiKwnv63Qz//INrciboNPLqT57kRz63Mvq2fF/L7fcatufuaybYjj7aWohGo3g8Hu655x5SqRSdnZ3cc889TaHqoaEharUavb291Go1hoeHKRQKvPbaa9hsNmw2m6zbKBaLJBIJTCYTbrcbq9VKNBqVQ29bWlpobW2VkwfEbLVGaBGz3cFh7ITdDc5A3ekVnHG5XPT29jZN7rgdZ/r7+6XwrFA+h7qREimCyclJLl26RG9vL93d3SQSCbnAEYZOYK3f9p+cbTl0Tlojbhcx/JH3tPFDjwb5ny/O8zsvL6677WHBbnFmI7ZmeHgYl8vFO97xDhKJBFeuXGF6epp4PM6DDz64JmdsNhtHjhzh29/+NsPDwxgMBrq6ukin01QqFYxG4wrOwOoZhX9ytuXQOWmNuB1nWuz16Nunzq3NmU3Y77vPUYPb66NtFmL15PF48Hg8TfUIjfUEYgbb3NwcuVwOnU4nQ9dCZkBVVZLJJO3t7TzxxBNks1lGRkaIRqPo9XopQDs7Oyu7PcXIJzEIV4OGncZOcwbqvBGcgVuTOzbKGUWpD1qPRCIy8vy3/tbfor+/n7/4i79gampKTqtIJpPEYjGSyaTsOtsoZ/7dBzp39HvfjdDrFH7y8Q5+4rF2fv6r07xwM7Whwum7GbvFmfVszTPPPCOj1MFgUJYUWK1W4vE4uVxuTc5cuXKF0dFR9Hq9dMzm5uZIJBKUSiU5z3aVGqkV+HdPapy5HRRl+5xZirrdfTVq62EzXTrLtz179izDw8MrthP1BKIYc2ZmRs7hTCaTeDweBgYGeM973kMwGOTzn/88ZrOZ8fFx+vr6AJidnZU1AoqiEI1GicViUmRT1NcYDAZN/+wAYIk8hyKcuR3OBINB+vr6GBsbo7+/X75/o5y5//77iUQifPvb35a1M8lkkvHxcTnqyW63YzAY5KzPxlFgIm3T2B29HMcCZgx3UV3NbkOn3NKCm0uW+MWvT/PSaHqjb9c4c5ttb2drbty4IVOeg4OD+Hw+6di53W4efvhhqtVqE2cAIpEIN2/elCK2RqNRTvEQOmmNTWiNU1uW8+ZYwHzHSW7sJ5Zz5se/OMFssnRbp01MAdmqrbkjHbXNdOks37avr49YLMbExARer5fXX39dDsSdmJiQ9QSNasxer1emN10uF+Pj41y5cgWHw0E6nSYWi/H1r39dOmbxeByDwSBH2YhGAkDqPjVCq0/bPyyd97veW95JzoyPjxMIBICNcyYWi/Hmm29iNpvJ5/OEw2G+9KUvYbFYJGdEnU06nSabzTalaSqVStNcV1hpdG6Gi3d8V+deQ5yrDreJz3zvUaLZMv/fX07x0thtHTaNM+ts2zgiSnT7L7c12WxWynWIgeiiNvPIkSN4vV5eeuklKdmUz+f5yle+QjablVMK7HY7xWKRTCbTNB4Nbsk3Nc6oXA6NM5tHI2e+8InjKIrCdLzIT35p7Q5RUcLB3Zr6XA2b6dIRK36XyyVVnKE+euP48eN4vV65P6/XKzVs7HY78/PzTE5OcvXqVex2O5OTk7z00ksoiiIH44oWaDHza2ZmBp1ORy6Xw+/3S7Ku54xpTtq+464X79wvziwsLPDmm29KWY1EIkE2mwXqxdBWq5VQKCTnr7pcLoxGY9OswUasV8/ptxs0g7NN+O1GPvN9R1fMa1wFGmeWvSYmDAjO9PT0yG5nr9fbtE+v18vp06ex2WyEw2FyuRwvvfSSbA740pe+xLPPPks2myWRSBCLxbDZbGSzWfR6PaFQCJ1Ox8LCgpxlLMoElmdpVuvyFNA4sz2Ic9ftNfPZf3qcf9Cg19aIhuzZlnhzR5JteVfOWl06oVBIrvhv3LjB3NwcLpdLqj/Pzs5KqQ2xD6/XS09PD/39/XR2dqLT6TAYDIyOjvLqq68yPj7O+Pg4ExMTcqVjt9vlRAGDwSDHRogxN1arVaZ1NFIcSNyRPNgM9oMzExMTvPTSS1y/fp0bN24wNjYm5QIsFgtQ73IzGAwyEiBqbCwWCw6HA4Nh42vJTreJSk1b9OwEgk4jn/3+4zzQYVtrE40zDajVaty4cYOFhQUGBwflYsLlcpFOp4nH46vypqOjg/vvv19yZmZmhldeeYWrV6/yxhtvcPPmTTl1Q6fTYTKZJGeECHEymZQpTpvNhslk2rCd0TizczDo6uK6a3FmO+Lqd2REbaNdOtFotGnF39nZKVuXg8GgnMUpUjlin2JawezsLH6/X9bcFIvFpi40oRXlcrkwGAzY7XZGR0ebtGzE6kZRFDm/TYOGvcZ+cEYURDeOoRHzBMXcXKfTydzcnCyAboTBYMBisZDL5dat5WzSQNJq1HYMBr3CFz5xnK9ejfPTX57a78PZc2ymG1Sn0zVNFBCOksfjobu7m6tXr67gzfDwMF1dXQwNDeH3+0kmk4yNjUnHbHkkzGq1YrPZ8Hg8XLlyRZbQ6PV6otGonLpisVhWHa6+HB+6z8Ov/51ejTM7CL1udzhzRzpqsLEuHdF14/V68Xq9sj4gGo1SrVaZnZ2VK59oNMrJkycBeOaZZ0in06iqSmtrK+FwWE4RaCxm1ul0clyOyWSiUCjIzjTxnOi8ESrqy2sFhLih1lSgYbex15wxGAxNA57h1iiVaDTaJHEjhGuNxrpMgF6vp1gsSi7BrVpOMc3jZKuJ3/7uI7Q6TbtyvjTUz/lHTvl4d5+TH/7cuqnQuxIb7Qb1+/2SM0BTjdrY2BhOp1N2TAvHb2JiookztVqNK1euoNfrm1L/YsRTPp+nUqnI9GmpVEKn02E0GtHpdJjNZjlmrTGiJngjuPiPH/bzM092YtSaCHYFgjPv73fxg58d2xHO3LGO2kbhdrsBmoRsoa6mvrCwwMLCAq2trbjdbqlr89Zbb5HL5bDZbLz//e9HVVWuXr1KrVYjkUhgNBrlRW8ymYjH45TLZbmKEaQQBBPzvxoGswK38tuak7b30Bo41sZOcyYej2MymWRkzmg0yqHRcGuQcaOBauRNY8ea6Pw82Wriz7//uGZs9gh+u3HdGpzDDNHtKZyz5eOjkskkIyMjtLa2otPp6OvrY3h4mJGREbLZLLlcjkcffRSHw8GRI0col8tyLrTggcFgIJfLMTo6SqVSkVFmYXPEiDWRzWm8t4lgwH1B84rpAxp2D26bYcc4c1c6asJ4iC615WgUIhRDbCcnJ3nllVdIpVJcvXpVDiN+4IEHgLpxcblcuN1ujEYjkUhErl7ESke0RZtMpiajYrFYpI5aIzSh2/2Ddt6bsVXOvP3228Tjcd566y05bLqRMw6HA6fTic1mIx6Py4HRxWKxiTPCKAmjYrFYJK8aIf7/ye/q1Zy0PYZBp/A739PHez61/kidw4LVONPYGSoiXx6Ph2AwyMLCAm1tbZw7d45KpcLw8LCcYjM8PEx7eztGoxGTyUR7ezvt7e1MTEyQSqWoVqsUCgX0ej25XE7evxqbB4TsUz6fbzpOkcHRnLS9h6hb+/g2nbW7zlETQoI3btwgm81y+vRp2aUmCOT3+/nyl7/M5OQktVqN1tZWXnrpJZLJJPF4nHA4jMfjQVVVnnvuOUZGRpiampI1M2IyQalUkulNYUDECkgUdFosljVneK4GLdKjYa+xVc5cvHgRgKtXrxKPx+W1uxpnRHoG6g6cmHcoUpuN9WtmsxmLxSK3Xw6/3UC3VzM4+4GAw0i/30wsd7gFcjfKmW9+85uMjY2RyWQIBAJyVmc8Hmd+fl46XVNTU1y5coUrV67IMU8Oh0PO6KxWq1itVorFoiyfEVFooUJgtVpXnUYAdc5oTtr+QK9T+PwnjvPuTw4Sy21N5P7AO2qbERwEZEg5l8s1EaRarcp9XLt2jfPnz5NKpUgkEgQCAXK5nJzNWS6XaW1tJZfLce3aNaLRqHS+rFYriqLg9/tlt5qoFQCkFIcgVuNKaCMDwTUnTcN2sVec0el0uFwuyRlRczYyMkIkEqFarWI2myVnPB6PdMosFotszhEr/lqthsViwWyuG5S1JAWi2QqxbBnfIR57s5/QKQotd9m53w5nxNxnoaMp9hEOhxkcHGRycpJCocBbb72Fw+GQ9qO9vZ10Ok2hUGBiYoJEItHEmfn5eQKBgORMuVxuKg0QpTNWq1XKRK0laxPNVohmy4d6VNR+Qqco+GxGfLatuVwH1lFbHlZuFBzcCKmEdMbU1BSLi4tEo1GuXbvGRz7yEQYHB6WhMJlMZLNZTCYTxWJRFoT6/X7efPNN4vF40/w0v98vRQmz2Sw2mw273S4dNlE3oKqq1NQR9QMaNOwm9pozTqcTVVXx+Xx4vV7y+TyhUIhkMkkymZR8aBTyzGazuFwuTCYTZrNZahAqiiJToiLisJrReaDDxm98tFdz0jTsCLbLGbvdjslk4vr161gsFubn55mbm+O9730vExMTKIqC2+2Wqf5KpYLNZkNRFLq6ushmswwPD1MqlaRorYimuVwustks5XJZqgqIxhuh21mtVmW9Wi6XW5czmpN2ELC1co0D6aiJIsypqalVRTbXU4seGBhgcnKS4eFh2tra5DzOyclJFEXh3LlzdHR0AHXDlE6nOXnyJD6fD4BTp07xxBNPcPHiRd5++22MRqOUEjh58iSPP/44r732GhcuXJCSBCId2ljQCTRFCwSE3o3muGnYSewXZ2w2Gw899BD9/f1cvnyZt99+m0wmg9VqxWq14vF4eOc738nCwoLkTCKRkOUDoiSgsbuzWCyuWhBdq9X4zY8dod2ldXlq2D52gjOpVGrF4PTLly/jdrvlgr1QKJDNZnG73XR3d1MqlXj3u9/N6dOnuXz5smy80ev1MhBw6tQpdDodo6OjFItFWTpgs9maatAEZ4TiQCOEI6fVpt35OJCOmiCKy+ViYWGBdDoto1y3U4sOBoM8/fTT9Pb2cuXKFcbGxlhcXJThZKfTyb333svHP/5xnnnmGQYGBkgkEvK9Ho+HQCDAkSNH8Pl8sk6gu7ubhx9+GEVRyGQyWCwWMpmMJKdw5oRxURQFm80m9y0g0qIaNOwk9oszTqcTvV7PwMAAAIuLiywsLBCLxeju7sZqtQJIzohVv5hKIOo3hfSNzWaTkWi//dbtKVFQ+dkPdGhOmoYdw05wJhqNct999/FXf/VXzM7OUiwWCQaDchqB0+nkrbfe4siRI8RiMRRFoaOjA5/P18QZMdXA7/djNpvx+/3cvHkTk8kkI22ZTAa9Xi8XLaI+zWazyVm7fruBaLbC8VYLk4ka/+iMV3PS7gIcSEdNaDmJLrPe3t4mqYALFy6QSqVwuVxS5XlwcFAOjD516hTBYJCBgQGGh4d54IEHuHHjBk6nk2QySSQSoaWlhQ9/+MNAvRg6k8lwzz334PF4iEaj+Hw+PB6PFLV1u91kMhlyuRxGo1EOya1Wq1KqQ8wqFIK4pVKpSXUdNCkODbuDg8KZarWKxWKht7cXo9Eoa3ccDofUEyyVSlIvzWAw4HK50Ol0FAoFcrkc97db+eTfPU67+5ZTFs2Wt1zfoUHDargdZ0ZHR6UD1dfXB9xKlUI9qnby5ElOnjxJS0sLFy9elCLPyWSSdDpNV1cXTz75JHCLMwMDA5IzAwMDXLlyhVAoREtLCw6Hg1gsRj6fx+FwAHX5GpH+FJG1Roctl8txqs3Cr32on16fWc7u1CYO3D04kHe+2ylCi6iVeBwcHORzn/scAG+88QaANDzC+Ig5nOPj41InKpVKSSPicDhIpVJA3Zm6dOkS+Xweu91OIBAglUoRj8exWq2SOCLsLGpxyuWydPCEEK42MkrDXuCgcCYSiVAoFOjq6mJmZgan04ndbpeNBsJxE3U2wlELBAJMT08D8MmPdq2InN3N9TWD8zl+/ZtzXJ3P0eIw8ugRBz/1RDsuy4G8Pd81WI8zwWCQvr4+zp07h9PpZHx8HICLFy8yMjICwOTkJE8//TTBYJBTp04RCAR4/fXXmZycZHBwkFOnTpFMJtfkjN/vJxwOMzc3Rz6fp6WlhWQyKeulPR6PjDg3csZoNGK1WvF6vSwuLgLwyb/bSdsSZ4TNuZsnDhw2zhzYb7WWIrQYcdM45HZsbKxpm7GxMU6dOgXUV0Dnz58H6iHuXC4nx+CIx2QyKYucnU4nN2/e5NKlS4RCIRKJBPF4XMoJOJ1Ostms7N4RUQBFUWTNmpAqENIcmuSGhr3AXnJG1KoJeYFGzoRCIRYWFmTxs8ViIRwOS84Ui0Wy2azkTDqdlmmdVpf5UKU3hxfz/IM/HOFD93n4yH2djIQL/OmFCC+PpfnCJ+7Bq0URdxXrTR7Q6XT09PTI/4+NjckUI9QXLY0p0eHhYaampkin07JbU1GUNTkTDof56le/yujoKIVCgUgkIptrTCYTuVxOlh5UKhXJGVVVyeVycpqHz6aXTtphwGHkzB03WLdxMG48HicSiciB0QL9/f3ArWLRRCLBjRs3pLPkdDpJpVJ0dnbidDqZnp4mFotJIqRSKXK5ujidUHoWqcyhoSEWFxcpFosYDAY8Hg9GoxFVVWU6tFAokM/nZeebNoxdw35ipznT09NDJpNhamoKRVEIhUJMT0+v4IxoCHjttddk/Y7BYJACuEJyQBRCP91v5Os/0LtHZ+Vg4D8/M8s/OOPnv/6dXr77tJ+fe7qT3/sH/UzFS/zWSwv7fXiHGoI3YqC6WMgLNJYRhEIhJiYmWFhYIBwOk8lkbsuZixcvSn4VCgWSyST5fB6XyyWbe8RixmKxSCF1wa18Ps93HLfwzA/17/3J2UccRs7cca6nCFcPDw+TSCRIJpMAPPnkk7IGR6fTyfqbRCIhh0x7PB4ef/xxmdsfHx9nampK6jyJVukPfOADzMzM8Pbbb5NOp2VNjZjtKeoDhFyHWA0tnzQgmgZEjVqjirQGDXuFneaMgM1mkyNwjh07Rk9PD8PDw+RyOfL5vNR1ElM5zGYzer2ejo4OTCYTU1NTTSnZX/7O7kM1bSBVqPDGVIb//l3Nzum7+5y864iDr15N8Asf7Nqno9Mg0p/CSUun05w5c4YjR44Qj8fxer2Ew2Gi0SiRSERyJp1O09nZyT333HNbznR1dXH16lXm5uaoVCrk83ny+bzsJBXanUajEYPBQCgUAm7VOmucqeNu58wd56gJbRtADrkFaG1t5cSJE7Ld+tKlS7KVub+/H0VROHPmDKdOnWqazeZ2u2X6c3BwkJaWFq5evYrdbpf1BNVqlXQ6jcVikfVoJlM91ByPx1eM7FgOLe2pYT+x05wR8wpfeOEFBgcHUVWVubk5Ojo66OrqIhKJoCiK7BwVEYBKpSJLCES9msCxgPlQGRwAl8XAr36khxbHyvq7e4NWvj2RIZ6r3JWpnIMOcb3HYrGm9KdOp2NgYIDXX3+diYkJnnvuOYLBoByuLuzJo48+CnBbzjz66KP09PQwPj5OKpUiHA7LCJpw2vR6vWy+aSyj0TjTjLuZM3fUtxFpGUDWgQnD09hSPTs7y9zcHF6vV9bPnDlzRq5sxGMikaC3t5fTp09z8eJFzGYz169fx+/3S9IlEgmy2Sw6nU5OGsjn81SrVQwGA+FwmGw2u6FImeawadhr7BZnBgYG6Orq4sqVK8TjcSlPY7PZ5FxPs9kshTrFyBsRFRAq7AI3w0XKVfXQGZ7vesC36vPhdBm9AnbTHVedcsdjo5wRtZXhcBibzUYkEuHEiRM4nU7C4XBTJE04a11dXdy8eZPx8XE5G3dgYIDXXnuNarWK0Whsqm8WAtOpVErOvhV2RONMM+5mztxRjlqjto3X68XtdtPS0tLUsTM6Oiq3sdls5HI5gsGgLKQeGxtDURRZgyNSP9evX+fChQvkcjk8Hg+PPPII7e3tzM3NyZSNmO3pcDiaNNSWO2la84CGg4Ld4szk5CTXrl1jaGiIXC5HNBrlySef5OTJk1K8U6/XA3XhzWAwKKPRuVxuheCzTqfj3399ml/9cPehr+es1FQuzWR5Z48Dk+HuMzoHHRvljNPpJJ/PS874/X5cLhder1dyBuqLm3PnztHT08P58+d59dVXqVQqzMzM4Pf7eeSRR+jq6iKRSGAwGNDpdBSLRSmaWygU5ESC5bZG40wddztn7ihHTejeCDRq3sCtWhy3243T6ZQrHqFHA/UC0KtXr8oWaafTyczMDKOjoxiNRpLJJFarlXg8zqOPPopOp2NmZoZIJMLCwgLVahWn00kmkyGbzUrNGvGn0+nWnLemQcNeYy85Mz09zd/+23+bxx57jLfffptIJEI8HqdardLS0iLHUlUqFSlwC7fkBL54OQZw6A3P770aIpyp8N+/68h+H8qhxEY5E41G6enp4bXXXpMam6LZQHDG5XKRSqVwOp0kEgm532QyicvlYnR0lEceeYSnn34aq9XKW2+9JTtLLRYL6XSafD5PqVRCr9drnFkDdztn7ihHbS3dm9VmssViMa5du8a9994LgNvtxufzMT4+LrtxRNRgdnYWt9tNMpmkpaUFu90u05+tra1Eo1HMZrOsVchms7LbMxqNUq1WpXOmOWkaDhLW04pq5M3AwMCOcCaRSOBwOPB4PJRKJWm4FEWR2oNC0FOkcURaFODyXPZQG5yr8zn+10sh/stHujnTbd/vwzmU2Chn/H4/kUgEp9Mp5TfERJtGztx3332k02mmpqbweDxSpkZVVTo6OmR5TSAQkHNzc7mcLCcQ03BEI1u5XG5qXHvhZkrjzF3OmTvKUYOVujehUIhnnnlGapyJuprZ2VmpEC0uYp2uHhIVKR2oG6OPfOQjXLx4kQsXLnD58mXMZjOTk5PcuHGDjo4OzGYzLS0t2Gw2HA4HoVBIFkeLbtDlswk1aDgoWE0rqpE3tVoNj8cjZWl2gzPic9LpNDqdDpPJJB21Rt68+4iTw4qpeJEf/twYP/VEO3/n/tXrcDTsDTbDmVAoRDAYXJMzqVSK/v5+GbX2+/2cO3cOh8NBJBLha1/7mpyl29PTQ6FQwGq1SkmO69evS1tTLBaB5gk3jx9zyczOYcNh4cwd56gtx/DwsFSKXlioa6iIGWujo6MMDg4SCARwOp1y8Ho8HmdkZIRgMMjbb7/NY489xpkzZ7h+/Tpms5l4PM7MzAyFQoGbN2/K7rh8Po/ZbKa3t5discjly5flyI9araZJb2i4Y9DIm3A4TG9vL52dndvmTKVSYXJyErvdzrFjx1AUBbPZjMVioVAoMD09LbupRTStEf/uqc49PxcHAYvpMp/401G++7SfH3xX634fjoZVsB3OTE9P89hjj+Hz+ZidncXv9xMKhZibm0NRlCbOWK1Wenp66OzsJBaLYTAYmkYRLufMr3zocKY9DxNn9tVRWy1ludn3xuPxpufFqBuv10sgEACgs7MTr9eLTqfj7NmznD9/nmAwKDVpzp07J0lhsViYn58nFotRKBQwmUxSd8rj8ZBIJKSyu6qqFAoFTR9Nw55hO5xpfH8jb4SO4HY5k0wmZerfYrGQzWZpb29fwZlyubwqZ44FzHf12Ju1kMhX+IE/G+Wpe938+Pvb9vtw7jocJM7cf//9AHK2bSQSkf9v5IyiKExMTPDGG29IsXVYOSta48zh4My+OWqNLdCjo6OcPXt2wyRqfG8ymZRhZ5fLxbve9S7gln6NaJEWiuwiZH316lW5v8bpBJFIRHanCeIUi0XGxsbo6uqiUCgwODhItVpFp9PhcDio1Worhq9r0LDT2A5nlr9/OW9Onz4ttZ62yhm4VQBdrVYpFAqUy2WcTicXL16kWq2i1+txuVxyzqd4H0A81xwpOAzIlqr80GfHeEe3nZ95suNQRkZ2E3vNGag7U8PDwzLVL+B0OonFYoyPj0vO6HQ62eUptNVyuRxGo5E333yThYUFuY2iKBpnOJyc2TdHrbEFWvx/owRa3j595MiRFe3T4jEQCEhF9snJSZ577jmOHz8ui5w7O+uplnQ6TTKZJJ1OYzAY6OjoIJPJSMHBTCbDyMiIfE4UgxqNRrq6uhgfH28qigZtEoGGncV2OLP8/WvxBrbOmc7OTkwmE5OTk2SzWcrlMlNTU5RKJQqFAoCc8tHd3c3o6Ci1Wk0ucLw2/dZOzB2Mf/mFcRK5Co8ccfDM9eSK199/1InNdPjOy05hLzkTjUap1WpcunSJGzduAPXIm81mk5yZmZkhn89Lzvh8PlwuF+FwmGKxSD6fJxQKMT8/TyaToVqtUq1WsVqtBAIBuXDSOHO4OLNvjtryFujGeYSbfa9onw6FQgwNDa1w2KLRKMlkkqmpKaBuYHp7e6lWq6RSKVk83bhaslgshEIhOYVAyBZUKhVqtZp01LLZLDMzM1SrVfmcWP1ozQUadhLb4cxq7x8YGABuGaOd4IzP56NcLsvSgUQiISPUgBwoPT8/j6qqTQuZ0Ujp0BVFvzqeAeBf/8Xkqq9/61+duOuMzl5iLzkTDAYZGhqSMjZQL8Xp7OyUnMlkMtjtdvr6+gAwmUx0dnZy7do1FhcXSSQSMhjQqCBQLBZlXWejXRmNlKjU1EOV/jyMnNk3R229FuitvHe1EDcgVzlQ17a5efMmqVSKiYkJORxXaKJZrVbcbjcdHR0cPXpU1tbEYjGq1Sq1Wk2GoUXqU1VVMplM0/GJ57VomoadxHY4s9r7gR3nTFdXF6lUim9+85vyc41Go4wMNIqANkagFUWhxWE8VE4awI1feGi/D2HTSBYqJPJ3RsptLzkjJDsEZ/L5PBaLBVVVmzgjJg80csZisfDVr36VcrksdQaFnYG6Tclms03lNYIrv/bc7F0533It3ImcSecrTMaLVGtbC97sazPBai3QW33v8hD38PCwbAJIJBJS6+bo0aMoiiJrAQRsNhuBQIBTp07hdDpJJpNcvnyZarVKqVTCYDBgNBoxmUzSaROkWo7lXTkaNOwUtsOZ5e8fGhpqem27nAF4/vnnGR4eRq/Xk8/nMRqN2O12ksmkVFYXOlCNUFWVcLrEZKxIr8+85e+nYXehqirhzJ1Vi7tXnLlw4QK9vb10d3czOzsrF/GiYQBW58zrr7/O1atXZe2Zqqo4nU50Oh35fH6F1qCA+P8fvxHhnz4SoMuj8eYgQlVVPvHnY5SrW8+w3fHyHALLQ9QCYuxNW1u9M8TlcgHIsTeCZCLdk81mee6550ilUsRiMZLJJLVaDVVVsVgsGAwGbDabLPxczSk7bOkbDXcmdpozqqqyuLjIwsIC5XJZzvm0WCxSmV0IRK+Fn/7yJL/5sSO0u0y78I01bBcXpzO33+guxu04I9KeQhft0qVLq3JGURRefPFFUqkU2WyWhYUFcrkcer0et9uN0WiUKgPxeFzqp62Ff/0Xk3zunx5Hf4hSoHcKpuNFrszlbr/hOrhrHLW1QtSNY28URWmqH/B6veTzebxeL319fQwNDfHWW29RLBYpl8uUy2VyuZyswXG5XFitVhYXF6UAodBPE87Z8ho1Lf2p4aBipzkj6mfS6TSKouB2u+nv78fj8bC4uEg6ncZisciINNDEIUVRuDKX47H/OcR7+5185nv7tQXPAcN/+9b8fh/CvmInODMxMcH58+cJh8OoqkqpVCKXy1Gr1eRc0ba2NlKplORMuVyWnDEYDCtq1a7M5fj4H47whU8c1zhzwLATs0fvGkcNVoa4G2cYCpXo06dPc/PmTa5cuSILnYVTNTw8TC6XI5vNylV/oVDAbDZTrVbp6enB5/MRDAaZmZmRqyQxGkcYnFqthl6vx2KxyAkGGjQcROw0Z8SUDqPRiF6vl2meTCZDuVzmxo0bVCoVWU6g1+vlhILGGtCXx9J89Wqcj5y6e9XGNdyZ2C5nbty4QSwWI5VKNdkZg8FAtVqlq6uLhx9+uIkzwpbodDr0er2s+RTOmslk4spcji9ejvH3H/RpztoBQpvLhM9mIJbbuh9wxzpqmxExdLvduN1u2R2q0+m4du0ak5OT1Go1rFYr2WyW7u5u0um0FLKtVCqYTCYMBgMWiwWr1SrrbXw+H1arVXaxiSharVaTQrl6vV6OE9GgYb+xUc60tLRQq9Xk6JtTp06tyhlFUTh+/DiJRAKz2Sxrz6xWK1CPLthsNpxOJ4uLixiNRpxOp1y4iPFrovlGGCFFUahUKvz0l6d4T58Tn924J+dHg4bl2A3OHDt2THJGZGMAucC3Wq2rckbIQel0OrnYUVVVcgbg5746zXAoz88fouaCg45wprwtJw3uUEdtPRFDQaxarcbzzz/P1atXsVqtnDlzhoGBAUKhkByka7Va5QgPIUAonDKTyUQikaBWq0mhTp/PR2trK+l0mitXrpDL5Uin05hMJsrlsiSMWPGI4mkNGvYbG+XMxYsXmZ2dZXFxUc7NBYjFYk2cEULPxWIRvV6PXq/HaDRSKBQoFApy0RIIBGS0LBwOk0gkKBaLGAwGyuUyRmPdCRPDpiuVSlMN27/9yyk+831H9/hsaVgNqqpycWZ7tTZ3EnaLM/F4nGq1islkks1pohu0UeZJcCaVSkmelUolTKZ6/abgTGNaFOCrQwnNUTsgUFWVH/38+O03vA3uSEdtLRHDRmINDg5y7do12W1ms9no7e2V6UqXy0V/fz/BYJBUKkUikUBRFAKBAEePHiWfzzM0NCQdOKEN9frrrzM9PU0ymSSXy8mOHJHCEY7d8hoCDRr2ExvlzOLiItFolMXFRWw2G/feey/nzp2jp6eniTMdHR3Mzs5SKpVob2+Xq/1EIiH5VC6XGRwc5PLly9y4cYOFhQWy2SxAU+RMGCBYOSLnpbE00WwZvxZV23dki4erm303OdPS0oKqqnR2dlIsFrFarYTDYQqFAlevXiUej3Pjxg0WFxfJZDIycqaqqpzqIezNcs5EsxXmUyWtIecAoFStbbuRAOCOzMstFy0U/19OrHw+TywWI5vNynE38Xhcing++OCD3HfffbJNur29nUAgQGtrq9TDMZvNspvt/PnzXLt2jVgsJtM3wiGrVqsYjUYMhjvS99Vwl2OjnBEdaoIzMzMz1Gq1FZwRtTiCMy6XS6Y6RRpmYWGBwcFBLly4wOLiYlOdjkj5iIjaeiUCP/y5cZJ5rc5zv+GwGPDZDs/9bTuccTqdxONx0uk03d3da3IG6pM+jh49KiNrY2NjnD9/flXOQL2ZQFEUyZnV6tF+7P9NaJw5ADAb9DvCmTuSdWuJGDa2Tnd1dZHJZGRdwMMPPwzQNAaqp6enqRBUURSSySShUEiSTAxdz+fzTE9PrxgRJWrYFEXBbDZL8dtGIU+RBtKgYb+wGc7YbDba2tro6+ujra2N0dHRFZwRs3QvXbrE9evXuXLlipxZKCLNxWJRzioUXdE6nU4uaERNWqFQaDJEwvAIDl2Zy/Hwbwzyvn4n//Xv9tCiRdf2BXPJ0rZrbe4kbJUz9957L6lUStqaVCrFo48+Smtr6wrOCL6Ew2G5+Bc1z6LuWZQWiCCAwWCQmZtGzjTaGY0zdxfuSEcNVnbeiJqBvr4+dDodfr+f06dPc+7cOVwuFx6PB7fbTTAYJBwOY7PZuHr1KidOnOD9738/AwMDRKNRnnvuOYaHhykUCuRyOVkvUy6XZdeN2WzGZrPh8/nw+Xz4/X7C4bAk7/IVTmPdmgYN+4WtciaTyazgzMmTJ4H6jMOpqSkymYzscC6Xy+h0OsrlsuwENZvNuFwuTCYTPp+Po0ePMjs7y8TEhJwDKiCMlCigFnhpLM27P3kVn83Ah+/z8PNPd2rdbXsEVVX58S9O7Pdh7Dm2wpmzZ88yPDzM7Ows2WyWXC4neRMMBldwplQqySkGYr6nqqpyFqjRaMTv98tRhrFYjEwm03Tti9QoNJcPaJzZX8zv0OLmjnXUGtFYMwDIok9BikbNm7fffptAIADUu9JEGHt4eJjx8XFeeeUV4vE4kUgEm81GMBiUBdJC68loNHLffffx1FNPkcvlsNlsXLp0icXFRfL5fJMchyCcWAFp0HAQsJOcuXz5MrlcjlAohN1ul5zJZrNSdsBgMHDvvfdyzz33YLVaZXlBIpEgnU43cUbM11UURdauNSKWq/DHb0Tw2Qz86HuDmuHZA3z6ldCO1NrcydgoZ4Rj9/bbb8tJHk6nk+Hh4VU54/V6aWtrw2AwkEwmZZONyWTi6NGjDAwMSIWB+fl5RkZGpO5aI0QZQT6fX3HsGmf2Hol8hR/bocXNgXfUNtIevVbRJ9xaEYVCIYaHh7Hb7dhsNjo7O/F6vdRqNZ555hlGRkaksrTX68VgMGAymXjqqae4du0ar732GlA3Ina7nY6ODsLhMPl8HrPZjKIo2O12dDrdCgI1tmBr0LDb2C/O2Gw2WlpaOH36NNeuXSOdTgP1xgGXy4Xf75fSN6FQSIqAzs7ONnFGcOV2C5tPnVvgU+cWONNl48+/XxP63C2oqsonX1jY78PYVewkZ1588UUA7rvvPgBZA33lyhVCodCqnHnssccYGRlhfn6eWq2G0WjEYrFw7NgxyRnx+R6Ph5mZmVWv99tpdmqc2RuoqsrZ3xjcsf0daEdtvfboRiwf67G8CHRwcJCvfvWrhEIhHA4HwWAQl8uF2+0mFotJg+J2u+XIKEVReOKJJ3jve9+LqqpMT0/LIbk9PT34/X5mZ2fxeDzEYjESiQSqquJyuZrmIQKy2UCDht3GbnLmyJEj+Hw+xsbGmJ2dBZo5Uy6Xefe7381TTz1FJpOhp6dHzjns6+vD6/WysLBAW1ubNDzpdBq32y0j1lAvFVguObAeLs5oQp+7BVVV+Z2XQ/t9GLuK3eLM8ePHeeyxx4jFYkxMTKxqZwRnHn/8cebm5ujt7ZWahF1dXbS2tjI9PS1HSOVyOSKRCH6/n3w+3xRx3ixnfuflkBZd2wWoqsoXL8d2dJ8H2lFbbwXTiLWKPqFOwnPnzjExMUE8HqejowObzcbs7Cx6vV5qpWUyGVlzMDIygtfr5cKFC+TzeaLRKOVyWXa0qarK9evXsVqtTE5Osri4iN1ulyOnBESBpxZN07BX2C3OiLmf4+PjJJNJFhcXyWazKzjzwgsvsLi4KEWfHQ4HFouFYrHI5OQk+XyeYrFIsViU8gKiRq3RYGw2Cv0bz8/zsYf8t99Qw6agKAp//Ebk9hvewdgtzoh6smQyiaIoG+IM1Ae3WywWLBYLU1NTTE5OYrPZWFxclGU0omGnsfFmtcHt6+FT5xZodxn5rgc13uwkFEXhM68t7ug+D7Q8x1rt0ashGAxy8uTJFQSLRqO4XC5sNhtwK3/vcrmIx+PMzs6SSqWwWq34/X5SqRQ+nw+Px0M6nea1114jFArR0tICQDweZ2Fhgbm5OfL5vByYm06nWVhYoFAoyOhZ49xPbUKBhr3AbnFGpG8AkskkmUyGXC63KmcuXrxINpvF7XZjsViIRCJEIhHZOJBOp4lGoxQKBakTJRoHGo1Po+L67RDNVpiOrz+4WsPmMRkr3vWdngeVM9FolMuXL0vOZLNZ8vm81G0Tk0AERGBgMxGyXz/ks1t3A+Wqymh0Z+9FuxZRq1QqDA0NbWjE01pYbwWzUfj9fjweD6dPnyYQCHDixAmOHTvG888/z5tvvkkikZDkcDgcuN1uhoaGAEgkElgsFhYWFrBarXI+mxDqrNVqeDweqRwt6gMao2hWq1WugIRMgRZhO3A4ED/IQebMo48+Sjgc5plnnmFwcFAOYbfb7Ss409LSwsjICKqqyoVMKBRCURQSiQSBQIBqtUo0GiWfz6+IDJhMpqaJIBstHfjJL03yuX96HL1OS+XsFL58Zc1o2oHgDGyfNweVM2NjY3KxEggEKBaLJJPJJs6Immi9Xo/JZJJTQcTzt7M10WyFZL6C23qgk2t3FL54aecj0Lv26+TzeUZHR9fN+W8Ey9ujt/J+QcKnn35aFnwKXSgAi8VCIpFAp9PR19dHd3c309PTOBwOFEVhcnKSXC4nHTQh0xEOh1EUhWKxSD6fl683rmyEsTEajdJJ04a0HzgcCMt+0DkzPj5OLpejWCzS0tJCJBIhHo8zMDAgORMIBLBarYyMjJBMJmUnW6FQkPIBkUgEnU4n0zfLtaCg3sHWaHA24qhdmcvx8T8c4Quf0IqkdwKqqvLSWHatlw/MCd4J3hxEzuTzefR6PWazmcXFRXQ6ndQcBKT0TeNMaWFn9Hq9rGu7HX7wz8e0Bc4OQVVVYvmdr0ffk3zc8hqAvcbycHU0GqWrq4uuri4sFgs6nY4HH3wQv9+PzWbjxIkTPPXUU5IAJpNJdr2ZTCZ0Oh0Wi0XuS6xmarVa01gP8X9hoITIp5YK1XA7HETOABw9ehS3243D4aCnp0fWfJ44cYLv/u7vpqWlRdbkGI1G3G43Xq9XckYsbAQvRLRM8EU4bmazWXJlM3yZTZY0J22HoCgKv/mxI/t9GJvCfvJmtzgDtxoFBGdKpVLTAqZxsSOkbTbKg9lkSXPSdgiKovCj7926w78W9iTeuVbOfyMt0bt1PKulQy9duiRTm263m87OTiKRCHa7HZfLRSqVIhAIEIvFaGtro1gsSgKJOptGcgihT4PBgNlslkPaBdk0aFgLB5Ezo6Oj9Pb2AvUaz56eHqanpyVnjh49yrVr14hGoxiNRrxeL5lMRtZ3Go1GGZGuVqtSc3A1zuh0OqxWK4VCgXK5LFNAt4useW363TsJhxDtLhM+m+GOqVNbjTd3C2dE6YAIBggboqqqbHQTQ91LpVLTPND1EM1WCGfKBBza9IKdgKIonOmycXFm53QHd81Rs1qtHD16dE1ybLQlejcQDAbp6+tjbGyM06dPc+rUKV588UVSqRROp1Mqsp8+fZrh4WH8fj8tLS1cvnyZ+++/n0KhgNVqxWQykc/nefvttzEYDOTz+SZSNEbk0ul00wpIW/VrWI47hTOPP/44p06dYmhoSM4AFY0zH/7wh8lkMvj9frLZLPPz85jNZnp7e7FYLHLix8jICPl8fl3OxGKxpuj0RjhzM1ykUlUx6DV+HRasx5s7kTPxeByTyURbWxtutxtVVUkkElLio7G7U0y9EXNzRQlO4zzdjeBHPz+ulQzsIJI7nP7ctfybwWBYtTtGYLWW6LUQCoUYGhoiFNoZPR9RO6AoCuPj4wwODjI5OcnCwgIjIyPE43F8Ph+9vb08/PDDtLS0MDw8TDKZpLu7G4/HA4DdbsfpdNLS0oLVam1Kz4gxUx0dHXK0TuNIHC2ipmE57iTOhEIharUaIyMjkjeijuYDH/gAra2t5HI5MpkMPp9PSnT4fD4CgcCGOFOtVps4s15koNHA/OLXp6nWNH7tBEKpgz/fcz3ebIYzsLO82QpnRJOA3W6nvb2dYrGITqdjYGAAm80mS28ELBYLPp9PvrdWq8m06GYa167M5Xh+JKXZpR1A5U7q+rwdbiceCEhl9ImJCbxe746tiJaTdWxsDI/HQzAYZGFhAVVVGR8fB2BqaoqpqSmSySSJRIJwOEwkEsFsNpNMJqWCtNVqlREDvV6P0+nk7NmzJJNJotHoqm3Uy9M4YujuZvVwNBwOHCTORKNRdDqd5IyYA5pOp4nH46iqSjqdJpfLMTk5SalUwuVykUwmcbvdcu6n2WwGWMGZRCKxQoNwNU1C0XTQ6NB98XKML16OcdRv5us/cq8WJdgGPnvxztZQ2yhnotEotVpN3vd3gjdb4UyxWCQcDpNMJrFYLJJHLS0ttLW1MTs7KzljMBiw2+088cQThMNhhoaGpKiucPhW44yo/Wxs5AH4kc/Xv/v1n38QncaZLeMrgztfJ7nnFe1ixQL1WWlHjx5dlRAiZP3222/LKBfsTLHocrL29/eTSCSkhMDc3ByTk5NMTU0xOjoqawna2toolUr09PRIdfW5uTkp6qnX67FarbKdWq/X09bWht1ul0WhUDc4y6MDjdpRWqOBhkYcRM74/X5qtZrkjFjMTE1NMTs7Sy6Xk5xRFEUaGkCmdux2O4BsMmjkjNvtllwSfFhucIQhErNEl2M0WuSLl2Paomcb+POLO6uwvlfYLGdGR0c5d+6c5Axsnzdb4Uxvby/33HOPrJNua2vDbDYzMzNDJpORqVAxtrC9vZ1KpcLAwACBQAC73Y7BYJDp0LWu/bU4A/DzX53WOLMN/O6r4R3f555G1FarFzh58uSq2wqSuFwuFhYWSKfTeL3edcUIN4rGVuparYZOp8PpdNLW1obT6SSZTDI4OEggECCXy0kZj7a2Nh599FHZxfnyyy9jMpnw+XzMzMzgcrnIZrPSAKVSKcrlMk6nk3g83iTLodfrm6IAwkETzQYiSqDhcOOgciYajRKLxTh+/DjpdFqqqAcCATKZDBaLhVwuR1tbG36/n46ODtxuN9evX5fpnpmZGZxOJ/l8HofDAdzijN1ux2q1Uq1WqVarsphaRJtFVACQnBHF0434ua9OYzYofOSUb9vn4LChpqoHPu25GrbCGUA2jHm9XmB94duNYCucicfj2O123v/+96MoCl1dXUxPT3Pt2jW6urpIJBK4XC7y+TxWq5VKpUIikaBarRIIBORoKiHj0RgQEHwRep46nW5Vznzxcoxuj0kbL7VFxHdBnmNPHbWNjuqAWyFrj8fDPffcQ29vLwMDAztWCCr2IwidTqdxOp14vV7S6TQ9PT3kcjmOHDkix0sFg0G+4zu+Qx670+nkwoULTE5OArciA7lcjnK5zNzcHG63W743EolQqVRk3YFY9YhZh5lMZkOdbRoODw4yZxKJBAA9PT0A8toPBAIoioLL5QLgIx/5CIFAgGg0Sm9vLxMTE3zjG98A6it7h8MhO6gFZ6rVKl1dXSwsLKwQ+NTr9fh8PorFIvF4XC621qph++kvT/H4MRdOiybquRnoFOWO6vgU2ApnAKkEIEY87QRvdoozXV1da3JmfHycQCAAwPHjxzEYDITDYTk/VzQaeL3eJs6Iv9XwqXMLAJqzdkCwp3eujdQLCGxVLXqjrdihUIjz58+TSCTwer2y07OlpQWn08k3v/lNGZ4+deqUbLGORqNydSaKOIVjl0gkGBsbIxAIkM1mmzrXhCK1mC8KSMNjNpspFApypbPRwboa7n7cDZwRCxVADmnv6upicXERl8vF5OQkdrudbDYrJ4DUajVpkBwOBwaDgUwmIxsQdDqdlPYQItLrpWs+8WdjfPp7+mjRJAg2jNnEnTk+6m7iTDAYZHBwkLfffhuv10swGFyVMwsLC+h0OlKpFB6PB51ORzKZJJVKyVpQwZmNNOeA5qxtBZXa7kSh99RR2ywpNqsWvTzk3dfXt+rqSGyXTCYZGRnh+PHjeL3epuiDCE+3trY2XaR+v59QKMQzzzxDOp1GURQef/xxrFYrL7/8soygdXR0kEgkZMrT4/HIbrfp6WkikQi1Wo1UKkWtVpMaa1ptgIZG7DVnzp49C7Di83aCM6+//jrxeJy5uTnuueceHA4H3/72t3E4HOh0OoxGI8VikWw2KznT2trKPffcw6VLl1hYWMBkMhGPx1foSd2ON1fmcrz7U1fx2Qx4rXp+//uO0u42bfg8HUb84tdn9vsQtoS7hTNiHxcvXiSdTmO32zl9+jRXr15dwZlSqSQXLH6/n56eHiYmJjCZTJhMJpLJJLFYTHJlox2hnzq3wKfOLXCmy8Ynv+uIxpnbwKDbnSj0nucCtjuqYz00hrzj8ThTU1P09PSs6OAR24kUkdvtbnrd7/fj9XplrYLT6SSVStHf308wGOTFF19kZGREftYDDzzAiRMnGBwcJJlMUiqVyGQyUghXpG3uvfde2traCIVClMtlSqUSRqMRnU6Hw+GQGjmw9mpHmxd6+LBXnAGkDA00d75tlzNDQ0PE43HJm2w2y8mTJxkaGkKn063LGbvdTkdHB+FwWHa1ibFsomatcbLBcohmhFqtRixXIZar8GNfnOA3/75meNZCNFvm5bH0fh/GlnE3cEbsW3BGr9fT2trK9PS0tAPpdJpKpSLFo202G5lMBpfLJXXZRN0a1MtzhEg7sG4Gp7Gc4OJMjh/74gS/8dFeen3mHTuXdxsmY7sThb6r2gsbQ9zpdFrm+6GZXI3beTweHnnkkSZSixXZ0aNH6evrk5GzS5cu8eKLL8rOoGw2SzgcJh6P09PTIwmQSCRkoae42IvFogzH22w2OXaqWq1SLBbJ5XIyPL2WEybqc7QwtIadwu0KpgVvtsuZWq1GOp2WnFk+VDqRSEjHazlnstksZrMZvV4vmwYA+fx6A6jFZyzvpL4yl+Ox3xziPz0zoy16lqFSVfnhz43v92EcWOwVZxq13ARvRD2mXq8nnU7LfwtB6FwuRywWY2ZmRkbYROTNYDCQy+UwGo2yPno1IWnBmeXPX5nL8dRvX+MH/myUSKa85fN3t2I+WeKnvzy5K/u+q6prG0PefX19UhMHmklzu9B4Y/3B8PAwU1NTqKpKKBSS0wusVqskztDQECdPnuT9738/X//61zEajdjtdnK5+ggJQSabzSajaVBf3ZRKJYrFIqqqksvlmjpwRP1NozzB7WpxNGjYDJZzAW4VPsMt3myXMz09PbS3t/P2229Tq9UYHByUumnT09MoiiI5lc/nV3Amk8kA9UVOtVolHK63wIvJBmtJdwjOrLW4+dpQgl/4YNfOnMy7AKF0mX/5hXGuzO3c+Ju7DXvFmWQySV9fH8FgUO4/FApx7733Sg1PqGePxBB2sXAxGAyyG1SI5Ap7VC6XpQ2CWxMSxDB3YWPW4szLY2lt8kcDylWV//qNWf74jd3THLyrHDVoDnmLrpnVSLJWaLyx/uDChQskEgkWFxcJh8PYbDbZGQp1Y7C4uEgul2NoaIju7m6+8zu/kxdffBGj0SiJEQ6HMZlMpFIpTp8+TVtbmySL+BODqhuhqioGg2HTKtMabo/1ugQPG5ZzYS3jsh3OQL1b7b777uPq1atYrVbm5ubo6uriqaeekpwRHFiNM2J+4fj4OAaDQU4vWM4LwZnG33c17jzQYeO3vrtvG2fu7sJPfHGCv76W2O/DuCOwV5zR6XR0dXUxODiI1Woln8/jdDp56qmnZM2nmAXa2P0cDAblIHij0cjNmzelFEepVFpxPAaDAUVRKBZvKeqvxxmP9a5zHbaEcLbEez45tOufc1ef7UaSbLRLpzFFmkql0Ol0srPTYrFIJ+3MmTOk02kWFxeZnJyku7ubarXKqVOnuPfee7l+/TrXrl1jeHhYym44HA4WFxe57777sNvtGI1G0um07AJdjsaImibZsTNYL7WsoQ7BGyEaulOc6e/vZ3p6GqvVSjQaldGx5ZwZGxsjl8tJYU/BGaPRiMPhwOPxrJj20Yj1VNkb8Rsf7SXo1LpABW4s5lc8J84joC0W18Fmbc1GOeP3+/H5fJIzAEeOHKGnp4dTp07x9ttv88Ybb3Dz5k3K5TLValWmRR999FGKxSKFQgGv17suZ0TJgV6vX9fWaJxpRsBuWtE80MgZuH137UZwVztqApsZzNvY2u1yuZiampLGpb29A53ZyTseqDcFRCIRzp8/z+LiItPT00xNTfHUU0/h9Xq59957ee2114hEIk0pULPZLDt4RGebaEAol8tUKpWmKIGoIdBukNuDULAXUyFEjUa5XNbO7SrYKc50dHTgcrlo6zrKPf2dt+XMpUuXSCaTcnETCoXQ6XREo1G8Xq8Uw7XZbJRKJUwmE5VKRdaHbnRR47cbtKLoBqjq6vMJTaZ6s4W4D9VqNW3E3TrYKG82ypnW1lbC4TC5XI7p6Wl5v/J6vSiKwhNPPMH8/DyXLl0ik8nI+bh6vZ4XXngBl8tFJpPB4XDgdrvJ5XLY7XbS6bTkTKN253pOhcaZlViteaBRI1VE9/V6vfADtkScQ+GobUYAMRgM0tfXx9jYGN3d3czOzgKQUV385UiQ3PUUgecv8qv//FFaW1ulHlStVpP1aceOHePatWvEYjGq1aoMOReLRaampujq6iKZTOJyuWQdgagrEDfGfD4vVdnFTVFz2G4VugIrDPJ658doNGI2m2VKzGQyNdZqaDnQZdgJziiKwmSkzF99KUKmnKSz5Trf/5hvVc6cOXOGmzdvkkqlSKfTGAwGqtUq5XKZ+fl5yuUyqVQKv98veSUiZ06nk3K5LKNwG3HUOt2mdetwDhuUVcRtDQYDZrNZnlOTydQoI6RxZhVslDeb5Yzf75f3L8GZJ554gps3b3Ljxg1ZMiCacISorZiuUyqVZLOCmMRTLpdX2JnG6OmK75atUKmpGHQaZwT+4980S9jodDosFovM3FgsFvL5PEajUQp3bwWHwlHbjADiwsICg9fHsJng6tWr2O12fL4ALydOUFHqq4lwqsLP/e5rfPrHT1OtVslms1y+fJl0Os3IyAjj4+OoqiojA40EMJvNOBwOTCYTExMTpNPppvoCs9lMpVKRnW2NY3JW+5HF6KnG4tC7GcJoLDewjcO5l68KRddfuVyWq8disSiLcdniKuduxnY54/cHmApnGc20wNJ5no3k+Mw3Kxyv1Dlz5coVUqkUN2/eJJ1Oo6oqi4uLZDKZpo5pm82Gy+XCaDSSTCYpFAoUCgW5wFEUBbPZTLFYlAujxnFTqzUa/N7H+zQnbR0IzpRKpaYCczE+D40zq2KjvAmFQvUUfwmmBjfOmcHBQRKJBENDQ5RKJVpaWkin06TT6SYbISSfzGYzyWSSZDIpU6PCztjtdml7DAaDXACv1rCmKAqPHXVpTtoyDC00lwuI1LHBYKBYLDZNG1oKJGxpgXMoHLWNCiBeHY/zc797iXAKPDb4W31eZpNFXk/2oC67qYdTFcLxDL/+678u02oAsVgMt9uN2WwmEAhQrVbJ5XIUCgX0er0kyMLCAqlUikwmIx0Iq9WK0WjEarXK7cvlstSXEuQRDobYX6FQOHTRtsY6JEVRMBqNMtQsnDURchbt6IVCoem9gEiVaXefZdg2ZxI9qMaVp3VqepYv/0mdMyJ6nMvliEQiGI1GPB4P2WxWpnEArFYrBoNBOmixWEymgEwmE0ajEZPJJIuhG2cdin0IR15VVVpdZrz2O6vOJpYt49vFY15IlUmVbi38xPkS6TGRIhNOMKBxZhVslDdvXJ3l0y9BIgcucwfdjgxDG+CMxWIB6s7UjRs3KBQKeDweWlpa5P0N6unU1tZW8vk8qVSKeDwuOWO1WrFarej1erxeryy7WU10vfG++isfurO6oxPZMp495IzIiomo5vKAy3bs812lo7YegsEgJ0+eXJM4qqryS394gXCqHplK5OCbow7eWPCjrnJPCrgM+P0tXLx4kd/4n5/m/gceAJAhzmw2i6qqdHd309/fj89XT/k4nU7m5+fJZDIkEgkZGWh0LgQ5RA2VcEYaa6wMBgMGg2Fbkh0Gg6FxhXxgsFzzaq1tGv+EQ2Y0GmX0RawSG/WERORSvGcJWhpnFew0ZwC6O9u4cOECn/viV3j44bqiu6IoUvBWVVU8Hg8+Xz3dc/ToUaxWK9lslmq1yuzsrIyc1Wo1KpWKlN8Qj6KgWvzGjb+70WjEZ7uz1qeqqvLPPze+owuxSLZCKF3/3aYSJX72mTBms1lKOTQaFhGhFoubpUeNM2tgI7z5/W+FSSwpoKSKeq5G3Wtypre7nedffI3XLwzy2GOPA8jrfWpqinw+L8dStba20tbWRktLC36/X0bbCoWCjKiJMpxGe9K4cBLPi+tAr9fT4jDecU0EP/WXUzvGGbGfcrX+OBUv8TN/vYjFYpGcabzPLK8xF9tsFXfWHWsXIDp0dCYns5Fm7aBkYfX32C0KFVXHd//yS+h1CtVaG0nzCeACFrsXv9dOfklYUMh0NKxE5U2wsVHAZDJJx0vUFIiIQKOgoYgGLa9d26zchNjnQZKoaEzzCud0tWaKxvMoQvlCe0sQorHerzHKZjAYZNRSr9eLGo2DcxLuAAjO6M2uDXMGQKfAYqrKT/zBLNWaSlTpA15CZ3JgNIF5KSomfmtRPyMiyKIpp1EsV0TSBGfEosVoNK4Q86xUKphMJm4s5u+oWptPvxLiylyOPzgf5gfe1brt/f3Ulyb5m+H61AGfTU+yiKyrEefaaDRSLpflYkYYG7PZLJqeNM5sAo2doAaLi4X4ysaN1eBzmsiXVH7us4vAIrF8OwA6k4NqPimbalwuF4qiMDc3h8lkkilRUdQu+CIWr0L8tlAoSLkOsbgVkSBhHwwGA+F0ial4kR7vndFMEM9XeHksze+8HNqRWaW/9s15/mY4QzhdwmvVkSwibYyImsGte5MQsxc1ax0dHaRSKapblG841I6a6NCZTaj81eWVr4v7eG2ZU54tqGQL9Yu7uvRiRa2fylL/95FxOnGmvo2hFCWbzdDW3k65XMbj8WAymRgfH6dYLGK1WmVtmdVqxWazUSwWZb2BMFpWq7Up1ScIJLreRLStsSZnrVE6YjDvfswVvZ0z2bjiaCxubYyKrFZ3JFKc4nWTySTPZ7lcxu12y7B/rVaT4f5arSaKfw9Hgd8OoLGrbTauotdBo5u7FmcanxOcKVbqv3e5//swOVwY069hKEWp6jMEWg1MT001caZxQkGpVMJiscjo83KxaIvFIqMOohO0VquRz+fR6/X8t2/O87NPdez8CdokxDUeyZRXHRivqiqffKE+HPv/XY5u21FL5it8bSgB1BdrsVxVRtbNZrPkTEtLCzqdTt6LRHrZ4XAQi8VA48yG0ciZFy/c5NnhjTs7sXSz5lmhVCdbuf/7sNmdODLfxqHPogDmpcJ1sVApFoskEgkcDgelUknWcorpNvl8nnK5LGsRG1PetVpN2qZisYher+c/P7fA//6e3p05KdvARjjzQ38+BsCfvBnhX7yvbVufly1W+MPz9Ygz1JsqRLmNwWCQ3bRer1eqOiznjMViwWw2UyqVtBq1zULoyvzVZUislBBa1dhsBGXFRsz9t+r/CUCZAsd9b6Lk5gmHw9Kx6unpwev1kkwm5aw2UWcjHAtRH9DS0kKtViOXy1GtVmWRoljxCIdNhLhFh1Yjlo/TEc7dTkTVhEPVGKVrnEu6Ef0yUYTZeKyN4XnxvNhPY+GseF2kwiqVChaLBYvFgtVqxeVyodPpaG9vx+v1MjU1hcViYWJiArQ0zoYhutpqNZW/vNLspMHWOVPVWTfEmd7eXtrb25mZmSEejzeNmxKLD7HI8fl8VKtVUqmUdObEtf/ZK2n+0dky3e79S+f86rMzfO7tLG4zdLt1/Ok/Pr5imy9djsl/e6zbK1OYjBWbRtw01p4t54zBYMBut+NyuXA6nbjdborFIjabjStXroDGmQ2jiTOXIZnfWDTtdqjp63ZGXCEmR50zqfnrLCwsoCgKdrsds9lMf38/hUKBTCZDNpuVJTomk6lJrsjhcEi5G6vVKmfrApyfKTKTrNDl3j+34VefneHP3krhs+nX5syVmJys0eff3izfclXl+/+07vSJYJiwaZVKhUKhgM1mw2azYbVa1+RMoVAQ954t8ebA16gJ0c3GuWc7Bb/fz2h4dSdtJ1HCQsT+KA8/fFYWP1utVqk6LRSks9msdE6cTicOhwO73Y6qqjidTlpaWrBarStqRho7ecSNdrV8uIg0NRZWb2Z2qHDyltWqyH8LZ02g0THbqFjmaulJRVGw2WxNjpn4zOX1AOVymWw2Kx8LhQLZbJZIJML09DSDg4PE43FaW1ulcwscvEK9bWC3OTMbV/ntFyG5i7xZjTOCE263G7fbjcViWZczNpsNn8+H3W5fkeavVCr80nNRotn9EZJWVZU/eiNaX3RV9FyaLa7gh6qq/OzXbrX/vzmV21QUXGw7GSvyQ58b56nfvsbb8/kVNWiCK0LCQXBmbm6OyclJxsfHSaVSWCwWPB6PxplNwu/3M5tQ+Z094kx//9F6inUpzdnS0oLH46G1tVVGz4SemuCSSGtXq1VaWlqkZmGjfl65XOY/fGP/OQOsy5l/95Vp+f+tcCaarUfmpxNFvvePRrgyl5N2pnGYfbFYlLW1oslpbm6OmZkZRkZGWFxclJzZqGzQWjjQEbXNiG5uBeGskS9e2rHdrYtUUc/EzCJTU1MsLi4C4PP5mJqaYmFhQWrb2O12dDod8/PzMrwqBlpDc21Z44UjhEAdDgeJRKJpJQR158ZqtTbNfhPPizoHUdS9fJSV+FyxfWPtjxBXFBDO3/LU6kbJIm4KjQ5hYzREhO9rtZoIJcvoowjViwiLqqoUCgVZ61Qul0kkEpRKJc6cOYPP5xN1bHdNGmcvOPOnb6yMpO0GUkU94XiGSCTCwkI9/Seu+YWFBRkBEoZmbm6uqVkkl8tJfiznC8CFqRQf+7yeb3x/C/o9rldTFAW/3UCiUJPc+/Sri/zIu1ulE/U7L4dW8GYzNTeKorCYqfDhz4zJhY+4BwjeiHuJKCkQ3BEzVKvVKtFolFwuR29vL1arFYvFQiaTWXmTuEOx25xpbW3la1dNpAorRzftNFJFPc7WVmqjNxkbG6NcLst651gsRi6Xk5E2j8dDOByWc3PFYj+bzcpyk0bO1Go13pxI8LHP6/aNMy0OI/F8/RpdizPLsVnOVGoqj//2COmyjkql3twEyHIj0ZQBdfsnHDVR3ynOVyKRoKurizNnznD8+HGeffZZ2KKtOdCO2mZENzcLVVX5939wYcupms2iWkjwJ5//tPTExWicSCQiw6KiAHFmZkY6HwaDQYrmCT2j1Vp9S6US8XictrY2zGazHGItUKvVyGaz0gkTTo/InTscDrn/aDS6Im0qDKB4/3LHTTh+wkkT0iKrOWhiGP3ylGtjs4SomRFpXpHz7+7uxu/343A4mJ+fB+o3WkGYxrSr2IdOp6NQKEgHM5FIMD8/T3d3t3DUdv8OukfYC87sVetFrZDkj3//01Ls1mg0MjMzI1enotHAbDYzNzcnBW/1er0UNG5ceCy/FvP5enjj05d9/PCDuj1tLqgrmjfrAf72qzH+x7kQD3VYuDjT3KRhsVio1Wp86twCnzq3wJkuG5/8e0dod62f2ml1GHjo3j4qhrphzuVy5PN5wuEwyWRS8lyUJ4juaaE7KPSfEokEHo+HQqEgyhN2Jn93ALCbnAGIpYpE03tzi1GLKT77f3+ffD4vx0dVKhXm5uZkuhPq99pUKkUkUh8kLu6v4noQKdHVOBOPx/mfbzj5sYfNe84ZUR8mnMjfeiXKb74U5oE20wrOCLHmzXIm6KzbmeWcicViZDIZeZ9Zzhmj0ShlgQDJs0Qiwf333y8cuXXardbGgXbUNiO6uVE0dqwtxHY559kAndmNLvAQidEXgVsr/MbIFiA1ogQqlQq5XI5yuSzTf6uFUMX4qZmZGVn0uByNzpdwWoRqcltbG+3t7YyOjhKPx1e8V9QwNBJXaFsJY9Momig6MlebHiC2bRwO3Ng00DiCQ3S9GgwGKeDY0tKCzWajUqnIlFgsFsPhcJBOp6lUKpjNZrxeb1Mdnti3y+Xi5MmTOBwO8fF3jaN2N3FGMbsouU4Qu/E8QFNHp4BOp2Nqaqrp2hYRIzHgei35GlVVyefz/O63bvJHr5h5vNfITz0WoO02N/LtYjJW5N/+1VT9Oy5d943dlcsNjjBMjbg4k+PH/t8Ev/HR3tuO9THoDQTa27HZbBgMBvx+v4xElstluTDT6XTY7XY5hzgajcrFm8fjoaurq/F60jizDhq7PEfDe9e0pZhduN7zc4Sf/W8U0mMyMGCxWOSCRVGUVRfjYkEkaqvEgnt5hiWfz/P7L47zuQt23t+t3xPOTMXrnGlc2Ih6Zr1ez6XZlfcl0bkKt3i1Xc7k83ksFgs3b96UARahm9ooHCyanbq6umQp0lJQYEs30APtqG1UPHCjaAxx12orO9Z2E4qi0P/4v2IMiAx/S958RUqusZtzOYRTJyIEa0FV1SaJgvUgnK5isUgqlcLr9TI/P082m11xDIIQy58XHXVAk/5SY8pWaF6JcyAibgaDQXYcCeOr1+uxWCzY7XaKxSJ2u11KMogZqDqdjomJCfx+P/l8HqvVSiaTwW63y2JOo9FIS0sL999/v5z+0NraSqlUoqenh5aWFt773vcCCAHJ5vDjHYy7jTNH3vej1KpVIsPfkteaELQVjTerpeqFgy8Ko2/nrBWLRf7qbfjy5TA+m4EPDLj4Tx/q2dHvs5gu87E/GiOcLsnIn9BDhFvRaIvF0iRe2hi1Fg6dqqpcDRX5O38wwWPH3fzik60E7CvrUkOZCrF8leQqnPF4PIhxaqJu9ciRI/J4xFgjkSZ7//vfj9vt5stf/jJonFkTjZy5efMmf/j63kpamO1+jn/Hz3Ppj74fkKLeTRNwVuMM3NI0bLQlyyFeK5fLfCWp7AlnotmKzDA1So6ISQBWq1XaCrjlpBmNRqlyoNPpuBoq8qH/M8p7jtj4xQ920eU2oKrQmBUNpSsspourcsblcmEwGOju7pZNe2fOnCGVSsmZ3T6fj2g0isvl4ujRoxw9epT7779fBAZyK77kBnCgHTWok2inwtCNIe58ee8MjoCiKPQ99qPERl6QhmOjHZeCNI0dkGthM12cwgEUs+EaFeGhfsG7XC5UVSWVSjWlFoUEgmjtbvxOpVJJrkaEs9aob2axWJpSuQ6Hg2AwiMlkalrhGwwGWltbSafTWK1W2aGWz+fxeDxyLqSq1scPCeHHd73rXXKWqtVqBeDYsWM88sgj9Pf3o9Pp8Pv9/Nqv/RrA/lTH7hLuNs70P/YviI28IK89kb65HX9EDRbcnhONr8dyFT5/KcYvfUf3jqV2KjWVf/2XM+RVE263tckRK5VK0rEUaZRGAV/BGZFeEds7HA46OzsJG038wy9FoZDkgU4n/+Z9HtocOmZSFX79lTzlsiLnOjZyplKpEA6H5RSVrq4uuru7KRQKspbp2LFjdHR00NnZyT333KNxZgNo5EyuxIY103YSRosTvdlFtZiSwQCB23GmUZ9zLSzPrkjO/O1uDPqd48yP/8UUmYoen89FNpuVmRhhawQ/RAmECB6YTCZZ7y0Es8WixGazMVW18s//uoBSSNHlNfMrH/DSatcxk6zwqy+mKRZVuYhbjTMmkwmPx0NbWxutra24XC58Ph/xeJyHHnqIrq4uVFXlyJEjDAwMEAwGxQJoS004B95R2ymEQiEikYistbAa65pP261Ri46+AkA2OgFAYuoCRqsbg8WNu/PUiu11OgMGZxuF+MyK126H3RKnFfVrwvECpNFoCNliMpmaRmEJ9fiFhQVMJpMs8BaOXqFQwOl0SsVz0cgg9m80Gkmn0+h0Onw+Hw6HQ0qVNKrOm0wmvF4ver2ebDYrncNCoYDZbCYSicj9Wa1WTCYTs7OzdHZ2yu/k8/kYGBjgkUceWe2GfFd1sO0UDgpnFJ1+S5wRLfRbxW+em+cnn9iY1lq1pq5ZXD2dKPJv/2qW4WiVQCCA3W6X13EkEmkqThYRNbvdLqVpGoWgXS5XXaC7YZajGP+TzpR5eTzD67MleoMekkXQ6y2USvXGouWcEc6i0+mU0j4dHR2Mjo7i9/uxWq0MDAzg9XpXK7DXOLMGarUaU1NTuFwu3G43QY+JUGJ7meLNcgbA5AqSWVhZxnI7bIczv/aNWX7hgxsbNbUeZ2YSRf7NX80yFC7jcrlob2+XdioajUrboNPppCapyMqYzeYmbdHGR0VR6OioczoejxPJlFhMF/n7f1Yi6LaQLuswGExAUU4YEnXckUiEarWK2WyWdiYajeJwOMjn85IznZ2deDyeFZxZOq/WrZzXQ+GoNYaiVVWtk6ezn9qzF7e97xvP/HrT/8df/N8AuDpO4e78zyu2V1V1S07aTmAtwVlRuyVa8xtFc8WsUiGTIVb7PT09PPTQQxSLRQYGBohEIhSLRSKRSNPEACHKC3Xla5/PJ7v0wuEwLS0tRKNR0um0VMoW9RGN+j6qqpJIJABkashgMHDvvfeSzWaBehdtZ2cniUQCs9mMy+WSKc7Glc0qOBQ82AwOEmcAKoX0qs/vJn7nlUV+4rF2dLeJqoXSZX78LyaZSZR48riTf/ZoKz1eMzPJCr/2rUVeHE2hKArBYJB3vOMdpNNpAoEA+Xye1157TXZ9iqga3Cp3qFarBINBKTUSi8Wks1YsFllcXESv18tIuJgmkC7rUNUqiURClhE0ckZEGyuVCm1tbXJmpMvl4vTp03g8nqbI8yq80TizCkKhEOPj4zidTlKpFKdPn+ZH29z80h9tT15gK5wpJOe39ZlbwR+/EeFfva8Nz23GtC2ky/zEX0wyHS/y9L0efuCRFnq8ZqYSJf7bCxFeGqs3hrW0tHDixAkURWFgYIBoNMrrr7/OzMxM0+QaYddE043H48FmsxEMBiVnRBAgGo1is9lIJBIyMlcsFkkUzJhM9SY4IV8iImn333+/rBMvl8s4nU7JGUVRNsSZu1aeY6fQGIr2er20tLRwT38nHf5rzEW3Vxz96L/4y01trygK7t53kJy8sK3P3QrWisg11iWIFby4+E0mE5VKhVKpJEUwRd5/cXGREydO8O1vf1umoUSnjQiLV6tV2XFps9lIJpOywNLpdDIzc8tpFVGxcrksw9kul0umMIURE68L5e329nYpz5DP5ymVSiSTSS5dusTp06f54Ac/eLu0xl0jNbBTOEicAXB1PUBs5KVtfe5W8PNfm+ZXvvNWOkdwpFJV+f+9EOK5m3mi2bJMGf2/K0n+8loOn81ANFuWKRibzYbRaCQSiRAIBBgfH5fvEc0RYtUvaupEXU0oFOId73gHXq+Xvr4+zp8/L4/P5/ORSCRkTY7BYMBqteJ2u8UEgSZOik7AkydPEo/HmZubIxaLUavVmjizRuS5ERpnVoHgjdfrxev1otPp+MA7O/mVP3lLTuTYCrbCmbYH/y4z3/7jLX/mVvHPPjvGp7+nb9WpAYvpMr/0zAIvT2RlR/Hn34rzpasZfDYDi6m6zIXX6wXqi/twOMyxY8cYHx8nFArJbm8hKaPX6+XsUqjbh1gsJrUW3/GOd3D+/HnJKZ/P1yQrJQIVwulKpVKSM0LmR3AG6g1/U1NTMmI/MTFBZ2fnbTmznbnah8JR8/v9XLhwgVQqhcvlwu/3oygK//ET7+Snf/s1Urm9vecUUzsvqrgdNDpmjaObltedCcMhdM1KpRKXL18mHo83TTgQjQSNUh3iInW73bII3Ol00tXVJY2M0DhzOp0AdHR0UK1W5fD6YrEo3y/0oBYWFmhrq48IaWlpIZWqRy+E9EBfX5+8ea5Doruq3mYnsB5nfvZ3XyeS2tu6m1xkfE8/T+CLl2N88XKMo/56QfhotMhRv5nJZFV2eDU6VeL/oWS5Sd5AzKLNZrOYTCbm5+clZxo7nkX3mIiwQb2YX2gAms1mjh07hqrWR8uJrm2n09mkpRiJRMjlcqtyJpVK4fF4KBaLOBwO2eVdKBSYnZ2lpaWF4eFhQOPMZrEab3Q6Hf/f9z7Af/nTVeYU7iICx9+3L47albkc7/7UVXw2A16rnni+fqkYjQYSBVWWwYgIssVioVgsEkqWZTozm83K61tIWc3Pz0sVBLGobxRtb5QXsdvtsrTA4/FIzgi5DVHPLPbhdDrl+K1GNQbRvJBKpejo6JBjt4QDKfiTTCYJh8PrNqQsOZJ3X9fnTiEcDsvIjXACAE4e8eCwGvfcUTO7gvuW/lwNy4fwigvVarXKrjpRsF+tVuWIGaHBIy7wxgkClUoFm82Gw+GQBsfhcGAwGGSNgaqqWCwW+vv7mZ6uq0m73W5ZnyPayhu7lJLJJC0tLbIerbGZQXzGxMQENpsNgJdfflmuznp7e5vSn6FQSBBbq7dZhrU4c1+fly/9pw/wvh//2p4ez35zZjRaXPFvUUogOCOaYjKZjDQ44jUxNSSbzTYJMAuDI6YniJE/er2eZDIp37e4uCiNisViYWBggMXFRXK5HDabjZaWFulw2Ww2OZIOmjkj0pv5fB5FUWSnnOh8Fcr8hUKBK1eu8MADD2ic2SBCoRDDw8MkEokVI/M+9K7uPXfULM5WDFY3lXxyTz9XIJarEGuyrRWpjSnOjeBGtVqVUTGhp2m322W36vT0dFPXqsjuiBFNNptN8qtWq0nJJsEvt9vN6dOnyeVyXL9+HY/HUx82Hw7Lzmtht4RYfK1Ww2q10tbWhsvlApATCERzRqlUYn5+ntHRURYXFwkG68K6jz32GKdO3aodbODNlnDXO2qhUIivfOUrTE5OykI/IWj47auhbadxtoLs4s09/8z1IJwcUVcmDIKQA2isFWucTFAqlWhvb6ejo4OJiYmmG1MgEMDv9+N2u0mn06hqfSWVTqdlTZnFYsHv98sC6mPHjslUptCs8Xq9jIyMoCiKJJBoUsjn89jtdnp7e2VDgjA8osDaYrEwMzNDLpeTLdRnz54F4PXXXxdyJ1sq8LxbsR5nAP7ob0b2/JgOGmcEGg0HNE/maNRGE1IcpVIJu91OZ2cn+XyeZDIpDVJbWxsdHR1ygsDQ0BAej4dQKCQbCho5I+Q0IpEILpeLzs5OgCbOiEVUNpvF6XSiqiqRSITjx48TCATkQGmxKBP6T5lMRs5Y1Thze4RCIZ599lmGh4fJZrOcPn0ar9crefOHf31jz4+pkAmv66TZ2p3k5veu9lPYmcZuZtFZKTgiygCWT7sxm8243W6gvvBwu91Uq1Xa29tpa2urNztZrdy8eZP29nZmZ2dJJpNS+NpqteL3+4nH4xw5ckSW+jidTlwul2ymEU02ImskAgqRSITOzk7JAzGEfUneCUByJhAIcO7cOQKBAMFgUNb7boc3d42jJlYzQNMKcHh4mHA4TDwelzMeP/jBD6KqKv/9C4N7fpzVSnHfVjhroVqtNilWCwdNiMMKR0t01Iguzu7ubk6ePClb+Z1OJ/Pz81Jq46Mf/SipVIpLl+qFtO3t7YyNjckCZ2GQstks2WyWI0eO0L4kMnjs2DFCoRDHjx+npaWFv/7rv6ZYLJLL5bBYLDKaJ0ZEdXd3c/bsWY4dO8bzzz/P1atXqdVqjaK2MjK0XIn8sGKznIG6Y/IHe+yoHUTOAFLTUFEUqSMoOjOz2axM7YjobrVa5Z577sFms2E2m2UHZjKZJBaL4ff7efzxx+no6ODNN9/kxIkT2O12vF4vxWJxVc4EAgGOHz++Kme+8Y1vyKiB1+uVnGlpaWFycpJ7772XEydO8OijjzI1NcXs7Czj4+M4HA4ZqdM4sxKDg4OMjY3R398voybDw8PcuHGDXC7H3Nwcra2teL1e6VTvNWdUVWXkb34d1zE/qZtRjM566t5/pgNbwE7n48dQdApqrUZ8JMLc86PorUYSQ4uU07tT1iB0NQVE9Eyk/IUmmoiWQd1hGxgYIJvNyvILkSG5evUqfr9f6pTdvHkTVVXp7++npaWF+fn5ps8TtWZut1vKZ7S2tkrbJxZH6XSacDiMXq+nUCgwNTVFS0sL165dw2azcfbsWbq6upiZmSGdTrO4uMjRo0cZHByUXHc6ndJJ3wnu3BWOWigU4plnnmFkpE6GyclJnn76aWl4xAo2l8tx4sQJAL7+3DlmI1vSntsWbn7rf+75Z24GQldNjF0yGAx4PB6q1aqcBFAsFmlra+Phhx/Gbrdz/fp1ORZKOGl+v5/Z2VkWFxeJx+MsLi5it9sJBoP09fWhKAr33nsvtVqNL3/5y9jtdsLhsCxk9vl8+Hw+dDqdbAb4whe+ILXeMpmMHHibSqWAukCnx+Ohp6cuutjT08PRo0eJxWJMTExIggvl8UY18sOGrXDmxRdfZD5R2VZR9FYw/tLv7ennbRaN6u8iFRMMBmU0SzTjWK1Wjh49KhcXXq+XQqEgG2va2tpIp9MMDw8zMzPD4uIigUCAlpYWWltbN82Zd77znfzu7/4uTqeTarUqZzrabDYURSEWi8n6ThGtePTRR9HpdLLuRuNMMwYHB/nc5z4HwBtvvAHQlOISvOns7KSvr4/h4WFeOH91zzmT1/85p//DyaaxfKtB0enwDbTiG2iVz1WKFUb+70Uw6NBbDCyc25360EZ5jeWcEZ3/Ho+H9vZ2KXAtpGtEhFhcv2+//Tb5fJ7FxUWKxSL33nsvbW1t8vsHg0FeeOEF2SwgFkXHjh2TTTcDAwOEw2F+6Zd+SWqmieyP4Mz09DROp1M2HiSTSR599FFaW1s5deoUV69exel0SicdVk6+2AoOlKPWOHZjM+KDQt5BIJVKSW92YGCAiYkJqbLt8Xj4/Oc/z+tvvIHe+jRVg2vHv8d6yC3p4BxkNDpliUQCn8+Hx+Nhbm6OdDotL1hRuN/S0oLf7ycSiTA2NiYvYIvFwtzcHKFQiFwux+joKO973/vo6uqSRuWFF17A7/fj9/uJxWJypmkymWyK8jz55JOMjY3JFX82m8XhcMhoRj6f5+bNm5w/f17OAnW73QQCAU6dOiVbuxuvrbNnz25rrMdBwF5y5o033iCbz0PgH4KyUgV/t1DKxfbss7YDIUUTi8XQ6XQEAgEmJyfJZrMy2jY6OkpHRwctLS3Y7XZSqRShUIhyuUwoFJIF1IIzUF9wnDhxYtOcec973sP09DTf/OY3paq70WiUDqXVamVxcZHf//3fl5wB5MJotWvrMHMGYGxsbMX/xf1FcMZms9HT08PFixd5+eWXmQ+FoPMTe8QZFeWeP8FlvDVHdiPDyBthMBs48YNn5f+Pf8+DZBdSXPyVb+3okQKyRCCZTGIwGPB6vczNzUnOlMtl5ufn6ejowOFwyFrOcDhMqVQiFApJnU0xj1M4fk8//TQGg4H+/n4uXrwo69hElE2v1zM+Pr5C7+x973tf0yD7jXDmxIkTnDx5khMnTqy4tsTki7tihFSjbtPo6OhqAotrwu/343Q6WVhYAJDdNlA/SWfOnCGdTuNyuXjttde4ePEiN2/eJKdM4z3zA+jM7t35UsugqrUD1USwHhrHPol2ZVEXI6IEFy9e5L777iOZTNLZ2Ul3dzeAHDofiUQYHR2lXC7j8Xg4evQoXV1d6PV6Jicnee6557BarczNzcnanKNHjxKPx0mn03XtriWDcfHiRfR6PR6PB5/PRyAQkNpvInwuIgb5fF7O/RTOx2rK48FgUMxFvSM72PaDM6lUCs9RB+ZjH22eu7KLOKj1acshuqPFEHPR4i/qb/L5PDMzM+j1ekKhEEePHsVut3PkyBHy+Tz5fF52pAmR4dbWVo4fP74lzjzzzDNEIhHa29tRVVVO6xCre6fTqXFmE5wB6O/vl5E08X9YyZmrV69y48YN3njjDVKpFLbEF3De9z27yJkqimcIfdsFFAPAzn2Ooig42t2877c+SuxaiPEvDu5YbZuwJ6qqkkwmpW1ZjzMWi0UKR8/Pz0sh9pmZGWw2G62trXR3dzM/P09PTw+XLl1iZmZGNtuYzeY95QxsnzcHxlFbnsdtLF6+HYLBIB/84Ac5cuQIwAphU51OR09PD4lEglAoxOzs7JLm1iiLMyOc+O7f3rHvsRZUVWX0+f+165+zUxDt04qiyIYAIRkg5DVEC3VfXx+dnZ243W5ZBCoGZYtB7z09PTz66KO43W6SyaRMV7rdbt73vvcBdTmO4eFhxsfHUVWVdDpNrVYjlUoxNzcn6xZsNhunTp3i+PHj+P1+wuEw586dIxgMMjY2JpsanE7nugOW7/QOtv3hTJ5Y+jlOHP+uHfse66FSzB3I+rTVIGYgiihvPB6XDThC+0+Mwenu7uahhx7C7Xbz5ptvArc443K5mJ+fJxAI8IEPfIAjR45smTOA1HETnPme7/kejTMN/9+MoybSnMtr1KCZM6lUiqGhIebm5pa6af+SjmKOlnd8Yme+CFWwToN9FsUaQe+K7/q6SVEU/Cfb8J9sQ63VmPjqNab/ZntNEsIxEw05mUxGNuiIrmgRbVvOGYfDIQv/LRYLJpNJckY4zIAcNP++972PhYUFAoEAmUxmTzkjlA62igPjqC3P4673xVfDerPahLbNjRs3ZLeiEEbVVWKUMmFMjsC2jv92SMxcIXz9m7v6GbsBRVHk0HihFyW62lKpFBMTExw7dkwWm6dSKWZmZjCbzeRyOXQ6Hd3d3djtdvr6+ggEArz++uu4XC4WFhZkPr+vr4/x8XotRCQSwWq1Mj4+zqVLl3jggQekLlQikaCjo4NkMinDy+J3F2kI0V0knI/VUh070Ymz37jbOaOqNa595T/s6mfsBpYPtBbimqLDbXx8nDNnzqzJmXK5THt7Oy0tLZw5c0bjzA5iu5yBurPW6KA17ktwRqBYLEoB4+jEhR1x1JTWC+gDb+9VQHv1Y9Dp6Ps793HkIye58X8vEnptalv7E/Ohheam4IwQYh4aGlqXM8lkUtYnHzlyBJ/PJ7khZlV7vV7cbrfs6NwKZwKBAMPDw3R3d6OqqhxNeDvOgJxRfGfP+hR53M3WDoiTI7xw8bg8R9zb28vs7KycNym0XMrlMhPP/w+Of+g/ouh2Z5Go1qpc/8q/35V97zbEmBnR9SlaqsUMULfbTSqV4plnnsHlctHd3U0qleLIkSN8+9vfljppZ86cQafTNf3Op0+flr+VWOl2dnYyOTkpU0Bms5np6Wnuu+8+0uk0R44cwel0yqJrQZBLly5JkcnGovi1Uh13QxfbXnNGpPXK5TLjz3+Kez70y7vHGVVl8Is/Q2Zx72UNdgIiGmAymeT9Rkh4CBmN/ebM+Pg4yWSS6enpJt0njTMrsVnOpFIpqbUlUuK5ZJhSLoHJ5tnGN6jumpOWX8ww8bVrJK4toqoqrj4/fX/3JPbOtUuDFEXhnn90BmBHnDUh22GxWGRTm06nk5Ix63Gms7OTEydO0NLSwsmTJwkEAvJ3hnr0NBKJkEzWI/Sb5YzA5OSktDWPPvpokwQH3JYzW/K5DoyjBuuv8FeDODnxeJyRkRF5wo4fPy5XnIJUY///9t4syK0rzfP734v9AhcXO5B7JnJlMplkJkVSKqpIdWlK1Iy7qivC0XZopmbxPHgNe+yZF3vGfvfDhO2ww0vERI89drvCPR0VUdWqjigpuqtESTVcSiQlMZnKhbkhF2yJ9WJf7vUD5hwCua8kgDy/CIUiSQBEAvd/z3e+833/b3kZT548QalUwtbWVkMaMrf9Et/98p/B//5/BaP1eMWlh6GqKpY++1/P9DVfJ6QQVafTQa/Xo1gsNoyaSiQSmJubw+PHj+ncT6/Xi0AgAL1ej3Q6jWvXrgEAFhYWsL29jdHRUYyPj9ObH/Bqp2u323H58mUsLS3BZDIhmUzCZDKB53n8+Mc/xrNnz7CwsIBMJoN0Ok3nH5JdbCgUQl9fH72O9jvqOItOnGbgdWmGdEaR6RNyaB6zv/ynGHz/H5+LZjae/OuWDdIA0MwAGbdGsgMmUy0R9aY1w/M8kskk1U297xPTTCPH0Uw8HseLFy+oYXT9xJZqtYqXn/z38P/gH8EodRzYjbkfnO3FuQRpmY0Uvv2fvoDJY0Hv3xwDp+Wx9dkSvv7nn2Pqv34Pglfc97kkWLMOOrD4p1+f+D2QRIBOp6MG7OVybQybyWTCzMwMZmdnqWaGh4cRjUahqiqi0eihmiENOI8fPz6RZiYmJqgNC9C41hxDMyc6/2yqQO24kA+HdK8tLS0hn8/TVtr79+9DFEU8e/YMsVgMW1tbSKfTyOVy9EIgu97c9ks8+9P/EFLPFIZ/+E+gM+5/YR6VWl3a/9KSR54EMo1Ar9fDZrNBr9cjmUxCFEVav0Za/YHaArSyskL/rK+vD5FIBABN/WJtbQ1TU1M0NU12IGSne/PmTVoPQG5md+/ehdvtpu8HqPni3L9/n2Yo9mK/o46z6MRpRXZqJhQKIZvNYmFhAT6fD4FAYJdmSPch8TlSFAU6nQ656CvNDL3/X54yU1CDBGkbj3926td6k5Cuab1eD6fTiUwmA1EUqUv6m9bM3bt3ac0b0Oj7xDTTyFE1s7i4iGq1iuXlZXqETU4fSHF8NrqIZ//vfwytSYLvyr+D7uv/3pGDNc7zFTTu8/H+DPx6Hs6rnRj5O1Pg+Nr7cV7x4dE/+zW2PlvG0L9/9eD3xnHwvdOP8MN1pF+eLPNarxmfz4dwOAytVgtBEGA2m2EymRAM1gbNr6ysNDTeCIJAtXFemnG79y/1OEwzsViMbNJau5ngJJAPRxRFLC0t0bPlTCaD2dlZjI2NAQDtqEqlUrQVnvikkBEv5EtJrT/DV//yp5B6pjD4g38Eg9l+ovdWqRTx3S/+25bOCtSjqioEQcC1a9ewubmJcrkMi8WCS5cuUdNUMridTCAgI6S8Xi+y2Sy9IaXTaWrjQYjFYhgfH284RtiZun78+DE4jmsY5G61WuFwODA8PAxZliGKIkZHR+nfH3TU0eodbCehXjOhUAiCIGBxcRE6nQ5fffUVpqam0N3d3dCFSEamEBNkAA2ZgtT6Mzz5v/7+v9XMfwGD2XGi99YuQRqBTPnw+/0ol8v7akYQBFitVmxubtIjtfPWDM/zuHv3Lt3M1vs+Mc00clTNAKA1TvF4nNbo1s+DJZqp5FPYePwzJFe/wsjf/KdHWGeq0Lhnzq0ure9vjcHoEGiQBgAGmwlaQYdCLHuk1+A4Dtf+8R2oqorQozUs/t/PjvUeSPenwWCg3f2kK/TGjRsN1zDx/SPTM4i/GjFfB85eM7FYjNqw7FxrDtOM1+ulpQ8noaUDtfoPR1EUvHz5EkajEfPz89Dr9fjiiy8wNTXVMB5Fq9XSL5MUyRcKBSogQmr9GZ7+q3/wbxef/xwG89GKTlVFwerv/gSh5786j1/5jVCpVFAoFJBMJmE0GhvmtN2+fRu3b9/Gz372MwSDQerULAgCSqUSNcwk8weB2kXv9/vpTgdoLOqtT1WPj48DAGZnZ+nfk1Q1EeDo6OiePmmE4x51tDP1munt7cXMzAx8Ph/m5+dRLBbxxRdf4Pvf/z6do0oyAZlMBoVCgdYr1gdqhJpm/oPja0ZVsPHk59h4/Kfn8Su/EVRVRaFQoE0E+2kmkUjAYDA0tPxns1nIsgyLxXJumiE6qV+k9lpcGEfXjFarpbrR6/VIpVJ0zVEUZU/NZCILePqv/gG0Jgmuoe+j//Y/3Lvu0xQ61+YBc+duP9FcSEYlW4alx3as1+I4Dh1v98N3qw+BX89h7eO5Iz+3WCwimUzCbDYjlUqhXC7Dbrfjgw8+AAD84he/oE05uVyOzs0lYw/Pc50hGrl3795r10xLB2oA6Aej0WjAcRyCwSBNYxoMBsTjcdy7dw+ZTAbr6+sN87v2W3DqqS0+/xBaUy2C1xpFCK4BlOQoLN5axk5rkiAHZ1BMh1vGJ+24EBPcQCBAMwMejweBQAD37t3DT3/6U3z66acIBAK0WFOn02FjYwOXLl0Cx3EYHByE3++nNTl7LRL7FWWSXW06naYu0DzPN9Sj1b/GSQ0tLwLkM1laWoIkSVQzlUoFFouFauarr77CxsYGKpUK8vk8yuUyzTzXz3XdyU7NAIDZMwSNXoBGJ0An2FHOJaDRmZAMfNW2miF1sNFolJpy7tTM8+fPkU6n8d133yGVSkGn0yEej1Pn9dehGVJzNTs7yzSzD0fVzNzcHFwuF3K5HEqlErU5AnCgPUMln0Lo+a8Qev4rGO3dqBRkqhkA8H/kgu78f01KSS5i/v95Aq1Zj447/hO9Bsdx6P1w7FiBGlmLt7a2oNfr6WhCoplLly7h0aNHePHiBdbW1uDxeBqGpL+udeZ1a6blA7VwOIxHjx5BVVWMjIxAURQ8f/6cDkvt6+vDwsICBEFAPB5HMpmknYwkrXoUiJdTJZ+iC0smdPQLsNXhOA65XA5zc3N0rBRQq6+RZRmXL1/GyMgIstksUqkUisUiZFmmxdF+v58eU5Kaj712IPPz87Tmo36oMdnVSpJE/w5AwzEncHpDy4sA0UwymYTdbse1a9fw+eefw+FwwGg0Us0AQDwepzfC4/oA1fufpdaenOnv0ApwHAdFUbC9vQ1FUehOv14zvb29SCQSWFlZQSQSofM45+bm6Kxdco2TRYHs/glMM+fPUTRD6qei0SgikUiDZkjJwFEg60u9Zi57f4KzNLHdj60vVhD+N2vIbqWgFfSY+E/fgUEyHv7EfeA4DuKAHfJK4sjPURQF4XC4ZrRrsUCr1VLN3L17F7du3UIymcTKygqdG12tVttaMy0dqJEPK5VKYXFxEcPDw3j77bdx/fp1PH36lM7OIyaNPM/TwOw4QRqjJh5ZlumxcSaTgVarxfr6OuLxOLa2tnDjxg3cvXsXfr+fFtSura2hWCzSGW73799Hb2/vnhd3OBzGt99+i5mZGZhMJkxNTTWkqomQ9jvmJDdT4qkDHN/Qst3ZSzNXrlzB2NjYLs2QY4XjLDKMVxAzzUwmQ13W99JMf38/JEnCZ599BqvVSutu8vk8RFHE/Pw8zVLv1A3TzPlzFM2Q9SQQCECn0zXUcwI48NTmMNy3eo7dHXpSdIIO5h4JGpMOmfUEtr/egthrA6c5+T1A9DuOFahls1m6zqTTaej1+gbN3Lt3D9PT0/TxyWSy7TXT0oEayczYbDaMjIxAkiT6hdy+fRuxWAwLCwvI5XK0BoTU3BDhsGDteJA0fiaTQbFYxPz8PHQ6Xa0LMJfD1NQU/uAP/gA2m60hK+NwOCDLckOH5s6Le35+ngZ4uVwOVqt1z4t/r0wcuZkmk0ksLi5iZGQENpvtRIaW7cxxNUO61kitFfn+GUeHHJEVCgXkcjmqGTInsLOzE5cvX8b09DQsFgvsdjvVzF7U64Zp5vw5imYURcH9+/dpcxppIjiLhIA0+Pq+D/f1briv1xojMutJfPM/fIFypoTRvzt9yDP3x2A7vjcyKU0iRtv7aeb73/8+FhYW2l4zLR2oESdoYj5369atXfVKJDVdKpXgcrlQKpWQSCTA8zxbdE5JNpulmTKO4+B2u2GxWNDf348PPvgAfX19iMfjmJ2dRS6X23XD2nlxJxIJOggcON4wYXIztdvtGB4ebriZMl5xXM10d3ejUqkgGo3SrjW2uTkZxH09mUxCo9Egl8thYWGBZl7u3r27SzPEw4lkB4BG3TDNnD+HaYbUK5GRRsRagnjonWZ0EAB03O4/g9/i+Fh6bPDc7EHwixX03huByWM50et0vTeIlZ+f3FaENLJdZM20dKAGoKGbqp76yDcajVLvolKpRJ2i2YJzcognlNFopIKov+DJDezzzz+nnWzb29vo7OzE4ODgngWYdrsdnZ2dyOfzMJlMtD7gIGZmZrC8vEznupHXYQvO/hxHM8S0k2TTmGZOjs1mgyAI4HkehUIBhUKBaoZYZty5c6dBMzMzM+jp6cHbb7+95zEM08zrYT/NAK90EwwGkc/n6VzHwxrVjoLQIb62Y8+9IN2gmY3UiQM1XsPD5LUgH84c+7nE4okMXr+ommnpQC0Wi8Fut9MPuj69GYvFqPM2x3EIBAJIJpMol8tUPKxO7eSoqgqz2UyHTNtsNhiNRnq2X08mk6HDboPB4L5dMqOjo5iamtrTD20vZmZm8Gd/9mf05/fffx8ej4d1rh3AcTQTDochyzKy2eypswKMWhe0yWRCNptFqVRCV1cX1czO45N6zczOzuLtt9/eVRANMM28Dg7SDPk5mUzSbvOtrS3aJX1azL22U7/GUciFZAi+3SbvxVQBAGBwnG60ayVbOtHzOI6jmcmLrJmWDtT2cgMOh8OYn59HPB7Hd999h3g8Tj2NEokEFRDxiGKB2skgIzesVitEUcT777+P7u5udHd3N3R1jo6OwuPx0N0L+fv9agL286jZi+Xl5Yaf0+k03nvvvTP7HduRo2pGEASIooh0Oo1sNks1Q0blMI7P9vY2NBoNrFYrJEnCtWvXcP36daiqSg08ATDNNBn7aYbUpi0tLeHJkyfU4DiXyyGTyaBarbaEZqqlCr79n3+Hy//RLYh9r7JL1UIFkUcBGOwmWA6Y93no6xcrKGdOFqjlcjkEg0F4PJ4LrZmWDtR2Gt7Oz8/j22+/RTgcRiQSoWNZiPlgfTaNDIBlnIxyuUyLN0dHR9Hd3Q2r1YpUKoWlpaWGTpsf/ehHuH//PqxW66GFl8cxDfT7/fj973/f8DPjYA7STDabxeLiIjKZDJxOJzWJJlqpN25lHB8yM9XhcOy6zlOpFB4/fsw004TspZm1tTUAwLNnz6gdB4CGhhtiz3Iaoo/WMfb3rp/rWqXRa9H3t0bx9T+/D9fVTkijbqhVBaEvV1FKF3D5P3kHvG4PE94jsvIXL0783FKphEKhltXr7Oy8sJpp6UANeFUA/fjxYwQCAczMzCCbzWJ+fh6FQgEulwvFYpF+2cDB9QaMo1OtVmEymdDT04MrV64gHo83FGk+evQIfr+fjqvhef5M08UTExMAajsev99Pf2YczF6aUVUVq6urCAaDcLlcWF9fJ6OC6Agcxukgi7hWq8Xo6Chu377NNNMi7NRMKBSCoih48eIFgsEgJElCJpOByWSi1hxnoRnHpO+1JBQ63h2AudOKjd8sYf2TBSilCsR+O0b//vVjTyaoR1VVbP12+fAHHkClUoHBYLjQmmnZQK3efZ7UCKTTacRiMczNzSGbrc0ns1gsdBB7sVhkC84ZotPp6CgPRVEwOzuLhw8fQlVVdHR0YHJyEr///e8xPDx87MLLo04XmJiYYIvNETlIM2tra5BlGcVikTqtk4wa644+W8rlMsxmMxKJBB4/fkwDZaaZ5mM/zUQiEcTjcQQCAciyjFKphGKxiFgs1rJ6sfqdGPefnc2EqqoIPVg99euQDs+LrJmWDNR2ugKLooinT58iFothdXUVGo0GBoMBqqoiGo2iVCrROhvG2cDzPB00vbKygj/5kz9BJBKhN7J0Oo1CoQCTyQSfz9fg/nwYzCn97DlMM2RUC9GMLMuoVqs0CGecDWSj+OLFC6yvr2NhYQHlchn5fB6lUq2Op1AowGw2M828YfbSzMLCAjKZDFZXV6GqKvWHTCQSVCdkTOFZoDPrqf1Rq8FxHLafbZ36dUjge5E105KBGilWTyQSkGUZiqIgl8shEonQtmgy+9NisWBzc5MWdxLIhX8WdQQXDY1GQzvYZFnG8vIyOjo6kMvloNfrodVqEQwGafq/r68PwG7ftP0g32/9z80qoFbhMM1UKhVotVo6eo20uhM7GwJrwDkZpKicjFQjmiFNGiaTCZFIBKVSCZVKBUajEV1dXUwzb5CdmhFFESaTCfPz8wBqHexEMzzP04QAqeus56S6Gf7bUy0ZpAG1jFriReRUr8E0U6MlAzWn04mvvvoKi4uLAIBQKISXL19CVVXE43HqtSKKIkqlEtLpNI28CTqdDoIgIJvNskDtGHAcB4fDgY6ODmrdYDAYUCqVYLPZUKlUUCwW4XK50NPTA6PRCKvVeqzdyl5dVozTcRzN8DyPbDaLQqHQoA1ycySt8oyjQeYPGgwGaLVaVKtVeqxsNBphMBjAcRzNCBiNRng8noZB0IfBNHP27NTMxsYGZmdnUSgUEIlEkMlkIMsyjEYj/U53ZqB5nm/QzHGCNaFDBH+K0U1vmtRa7PAH7QPHcTAYDDCbzQ2f70XVTEsGal6vF/39/ZBlGaqqYm1tDRzHIZvNQqfT0TZpnueRz+dhNpupgz5BURR2HHpMOI6DzWbDtWvXsLW1RRfrYrEIp9OJ0dFRdHR0QFEUrK6u0nEfExMTDbuXw2oC6rusmL/T2XBczQiCgFwu1/AaxDCabWyODs/zcLvdGBgYQDKZxPb2Nh0vJIoi/H4/hoaGYLVa6YxVAPB4PABqxzPE+f4gPTDNnD07NTMzMwO9Xo94PA6ttrZ0ms1mCIJATdS1Wu2uTUyxWDyRwXouKENVFHAtOmt35c9PNo2AbGw6Ozup1clF10xLBmpAzTcllUohEAjA5XJBURRsbm7SDBpQK9o1mUwNpnkkjcw62Y4Px3Eol8uIRCLI5XIol8v0M9zY2MDo6Cj6+vpw69YtRKNR6uQsyzJkWcZf//VfI5vNorOz89Ciz+O0TzOOxnE0Qzp6OY6jDuvk+IYFascjn8/TRg0yRspoNCISieCdd97B1atX6fcRj8cRj8chyzJSqRQ++eQTSJKEVCoFu91+YC0N08zZU68ZQRBgMplgNBoxMzMDo9GITCYDrVYLVVVhMpnoxr9+rTlNeU3wd6vo/H7rWaioqnqsQew7n1sqlSDLMg2I8/k8tFrtkTTz+PFjiKKIFy9eQBTFA9eaVtFMywZqJBqWJAmiKGJzcxMWiwUGgwHBYBCKosDhcCAUCuH58+f0qLNYLNIieFZrc3xKpRJCoRANdBVFoSn/Bw8eoLOzExzH4ebNm5iYmMDs7Cwttn3xouank81mMTw83NQ1Ae3IcTSzsLAARVFgs9no90u+b8bRURQFhUIBwWCQbhZVVaX3oWfPnsFqtdI6TrLDX1paQiKRwOLiIi0mJ11tTDevj52a4TgO8/PzcDgcSCQSSCaTkCQJXV1d+NWvfgVZlqHX6+laUygUTtUFmo/lDn9QE7Lxm5cnfi7RRzKZhNVqpRlK4jBwkGaAWk3ho0ePwHEcQqFQW6w1LRuoAa+i4dHRUczPz6OrqwsAGqbaLy8vU6NCMhiczNpr1TbqN0V995EkSZBlGZVKBR0dHdDr9dDr9chkavPciDBIHYAsyzRDAwCyLDd1TUC7clTNyLIMALSG02g0sg7QE0J0Q4rOFUVBR0cHdVYnmgFelQUQzQCgQ75lWYbdbme6ec3UayYWi2FqagpPnz7F4uIi+vr6MDIyAlEU6VzceDwOnU4HAA2nDich8iCAwZ+0lpVKtVI91RB2oJaF1Gq10Gg0MJvNUBQFdrsdgiAA2F8zQG1tIZohP7e6Zlo6UCPsFNL09DQ1vZMkCaurq9DpdFhfX6dHPHq9Hvl8/g2/89aCHHsJggCj0YhCoQCbzUY7QI1GI8Lh8K7OG0VRoCgKBgcHIUkS0uk07t6929I7nFbnKJqxWq0IBoPU3NNgMLDB7CeATHQwGo20AFqn00Gv18Nut1PN1LupE814vV709fVBkiT09fVhdHSU6eYNUX9M5na70d/fDwB00zMwMABBEPD1118jGo3SjkXyXV4UZv/3h6d+DXL8SerLSbBGhqjvp5lUKoXLly9DluW2WmvaIlAj7HfePDg4iO3tbXg8HlSrVTx79gz5fB4cx7EOthOQy+UgCAJ0Oh1cLheMRiN6enowOTkJnudp5004HMann36KhYUFAKBdOWyxaR7208z09DRMJhMkScLw8DBmZ2cRDoehqiotHWAcjWq1imq1ikqlsksz7777LoBahvrmzZsAsEsz5O+YZpqHvXSztrZGMz7xeBxra2uIRCLY3t6mFhLHpSwXUUzkYbCfbij666QQP/1xLTntIq4CkiRBr9djaGjoUM0AaNh4toNuWrOd5IiQYdMAMD4+Drvdju7ubvT29qKnp4fubFvVp+ZNQWqW8vk8vfnk83lkMhmIoojR0VGEw2E8evQIGxsb9Hk8z8PlcrWFcNoV0inV09ODrq4u3Lx5ExzHQRAEOBwOWK1W2h3KOBqkE7BQKOzSDBmFc+vWLQBgmmlB6jVjtVoxOTkJh8MBn89HrYy0Wu2J15nZf/EIlXxrbIxURUE+nDn8gYfA8zyq1Sry+TzS6TS16wBqMz5lWaYzN3dqRpZl8DyP8fHxttFNW2XU6pmZmcH9+/fp+CjSuhsMBtHT04NEIoG1tbVje9tcNDQaDd3d8DwPrVYLrVYLh8NBrR1UVUU6ncbXX38NWZZhtVqxsbEBWZaxuroKQRBgsVggimLL1wq0M0QzVqsV6XQaoijSKRMWi4WOk2JNBQdDvNJIbZpWq4Ver4fNZkO1WmWaaSP200yhUKDeXmTKx0nXGXk1gX/zT34FnUUP981uDP67k02bXNj6cvVEz6tfZ4hLg1arhSRJ0GhqA+HJ5/fll19icHAQH3/8MURRBAB89913MBqN8Hq9bamZtgzUwuEw7t+/j1AohEgkgnw+j3A4jFQqBZvNhrW1NQQCARSLRdZQcAAcx9H/eJ6HRqOBw+HA4OAgrFYr4vE4bSLgOA6FQgFPnz5FNBpFOp1GZ2cnBEHA4OAgJicn2ZFnE1OvmaWlJZhMtaOWWCwGjuNQLBaRSqVQKBTYsecBEL8nsqgQg2hyBJPNZplm2oR6zYRCIZhMJrx8+RKxWAzFYhGqqiKZTCKTyZyJFVQ5U8LWb5bhutoJacjVdMGaqqpY+v++OfHziW5IgOZ2uzE2NoZgMAiz2QwASCaTKJVKePr0KU2+OJ1OGphdv34d77zzTttppi3PL2KxGERRRDabRTKZpMaeiqLAbDZDlmXEYjF6U2Xsjaqq9Aaj0Whgs9kwNTWFqakplMtl+P1+2rkG1I5EiWM0UDvasVgsmJycxJ07d9pOPO1EvWY2NzcRi8WQyWRoQbvBYKBdiGSHy9gN8UkjY+ysViuGhoZw69Yt8DwPv98Pn88Hg8GAYrGIdDrNNNOiEM0AtVqqQCAAk8mEfD5Pr4NsNkuvhbPi2//xS3zxn/0C2zPBpjkNUlUVsefBEz+feDUaDAaIooi+vj784Ac/aNCMXq+nno/kGBR4pZmpqSmMjIy0pWbaMkpxOp10rEQ+n4der4fFYoHJZKILEJlvSI4mmm130kyQXY5Go0GxWMR3331Hj26KxSIN2MbGxuDz+eB2u2mX2vDwMEZHR9/0r8A4hHrNALWu6GQySYcdk4UHALW4YRwMyUIXi0Wsra3RTjaDwYCuri54PB64XC74fD709/fDYDDA4XAwzbQIRDMejwfZbBZ2u51O7zCZTCgUCkgkEnSzSzRzVtqZ/d8eopguvPFgTVVV5MIyZv+PR6d+LTIhRVVVPHz4kN53DAYDbW7q7u6m601PTw/VTDtb17Tl0afX68XAwAAePnwIjuOwvr4OABgbGwPHcfD5fIjH49Sqg+x2Llob9VEhgW5nZye2t7fhcrlgMpmgqirsdjveeustWuCpqiokSUJHRwc7umkhiGZmZmYgSRLtoLJarRAEAV6vFw6Hg45AAmrzcsvlMtPMHmi1WpjNZlrLSQZ6k/mF09PTUFUVW1tbqFar1CSa4zhMT08zzbQARDOBQAB9fX345ptv6AZ2YGCADg0n49o4joNerz/TcpvH/82vMfzTa/C90//akw2qqiIfz+Cr/+6vzuT1iGcaMdlWFAWxWAwjIyMAgDt37sBqtTZoZmxsDADa3k2gLQM1oBaZd3Z2Ip/PY319Hdvb23TItNVqhd1uRy6Xoxc3G42zN2TumtvtBs/z1DFakiTY7Xb09/djY2MDq6urMJlM4HkePT09sNlsrFutxeB5HhMTNXPNRCKB7e1tutFxOp20UJrohmlmb3ieh8VigcPhoAO5s9ksvF4vTCYTrly5gnQ6TUcTOZ1O8DyP7u5u2Gw2lq1sIXieR29vLwKBAGw2G0KhEK3fVVUVNpsN4XAY2WyWfq9nXRe9+Kdfo5QqoPfDsdcWrKmqisCv57D28dyZvB7HcbBarejo6KCNF6VSiRoH37p1C/l8HhsbGw2aAXAh1pq2CtTqh7A6nU5YrVYAtYugu7sbDocDuVyOFkorioJkMol0Ok0jdMKbTic3A1qtFlarFZIkIRKJ0Dq1fD6P7e1tDA8Pw2q14uXLlwiFQvD5fEgmk3C73QCA7e1tOiCX0bwQ3ZCgi4zK6e7upm3xPp8P169fRz6fh06nQyaTQalUogXAF1UvZNIAgeM4WCwWuFwuyLKMdDoNu90OoDYP95133sHKygpMJhO++eYb2Gw2GvhubGzQbAyjudmpGVVVkUgk4PP5apmmfJ4ey5END7FmIfVYZ6mZtY9rQZM4YEfne3543uo5t6DttEEa2eTV/2yxWCBJErLZLBKJBCRJgsFgQDabhdPp3Fcz5FSs3deatgnUwuEwHj9+DAB0cPHU1BQ2NjZgNBppRi2XyyEcDtNjG1EUUSjUzvlJsEaKgS8SOp0OiqLQ31uj0dAhxJlMhnYx8TwPg8GAjo4OLC0tgeM4eL1eBINBcByHzs5OWCwWqKpKB+Qys87mpV43wKsg7erVq5ifn4fJZIIgCFhdXUUikUC1WoVer6cF8GRo+0U8AhUEgc7yBECPtsxmM6rVKrLZLLXoqFQqGBgYwNLSEmw2G9xuN834WywWeu8RRRErKytwu91MM03KUTTjcrkQi8UQi8VQKpVgNBobajur1So93jtL5JUE5leeYP7/fAJxwI6uvzEE97WuMwvaVFVF6MHqiYM0kiQhay4ZrWY2m1Eul5FIJGhXudVqhdls3lczgiCgu7sbqVSq7deatgnUYrHYrp/rj3JmZmaQzWbhdrthsViwsbEBv99PPW5KpRIymQwymQytWbtIwdrOG4bBYADP87RbtlKpUOPOarVKA7P19XXcvHkTnZ2d8Hq96OzsRH9/P1KpFH2tVh+I287s1E06nUZvby96e3vp9z86OoqNjQ0kEgn4/X6Ew2HaQr+8vIxMJgOO4xq8kC4CpVIJGo2GZtW0Wi10Oh2KxSLt9iMWHBzHUc2kUin09fWB4zgMDg7S7GX9kSfTTPNyGs10dXVhaWkJ0WiU2h6d1wZHXklg7l/8HnP4PeyXa1YWrhtd0Oi1cF3pBK95db1VChWoahU606tuSlVVoZSr0Oi1KMRz2PjNIrZ+s3yq91Qul6nJPAkeNRoNSqUSyuUyzTaSQPYgzdy9exc8z9MZn0D76qZtArX6oazkZwD0z7q6Xu0qcrkcrl27hm+++QZWqxX5fB5GoxGBQACVSmXXIF1yA23njIGiKNBoNHSxEQQBgiBQR3WdTkf/nOd5VCoVWK1W3LhxA729vXjvvffoyA4ADTvOdu3EaQd26sbv92NlZQXAK83YbDYAtRv3N998g1KpBL1eD4/Hg0gkgnK5jGKxiEqlQhee+trPdoX8nqRrnBhBE0d1cixMjo/J/2/duoWJiQn4/X6mmRbkNJqxWCwwm83IZrM0SVAfrJ1X4JZ4EWn4PwCYvBYAQCVbQjlT6+jWWfTQmvXQCjrIKwn6Z+TvT4uiKCiXy9BqteB5HhzHwWQyQa/Xg+d5mpknJzcHaYaMKdxr3W832iZQ83q9uHnzJq1RI1H1wMAAlpeXMT09DbfbjVgshqmpKfA8j+9973sIBAKYm5vDzMwMFU46naY3WLLgkJtyOy48ZGenqipMJhM4joPL5YJWq0UikYBer6dDpQVBoLVrw8PD6O/v3zPdvNd3wWg+9tPNTs2QG+CDBw+wvr4OWZYRiUSwsbFBTXA5jqM3WVK31s6a0Wg0VBekY00QBORyOTrJQVEU6rJuMBgwMTGByclJppkW5rSaCYfDdARfvVcl0c/r0sxeo57KmdKuoOysgrR6zej1ejrlRpIklEolmhg4jmb2+y7ajbYJ1IDdg3LD4TBWVlbAcRzd8fA8T+s/xsfHAQCfffYZrWErFArUL4r8f2exMNn1tOoCpNFo6M2AeKSRIK2zs5POrCOTGyqVCnWGJpm0t956Cx9++OG+LdH7DftmNB/139V+miGP+8lPfgKgVkrw29/+FktLS3RiAfEMA9CgD3KDbmX7m/qxUORnnU4Hk8kEt9sNh8NBM2v1x/5GoxGxWAxmsxkDAwO4efPmvnU0TDOtw2k1k0gkYDabkc/n6WvWlw0QM/Z6TbUa9RllALRMwGQyUQ86EoydVDPAxdBNWwVqO4nFYrSrU1VVBAIB9Pb20mYDkjp98OABCoUCdUEmOxxSJF1/jENStTabjZoZlkoluhgBaOoRO2TnX18PwPM8jEYjOjo68MMf/hBDQ0Po7e3FzMwMTCYTisUitre3kU6n0dXVBQCYmprCnTt33vBvwzhrjqqZZ8+eYXl5GeVyGcPDw6hWq8jlctRImlBfMGyz2ZBKpVAul+mMXa22dgtqZs2QYxhyLKOqKjQaDQwGA/r6+vDuu+/C5/NhdHQUX331FRYXF+FwOGgDht1uhyAIuHbtWts6p19kTqIZv9+PxcVFGAwGbG9vU/P1+s2/wWCAy+VCLpdDuVxGKpVq2Fg3e7KAaJskNoiZrdlspkeZTDNHo+0CtXqLDkVRqHFnNBqljQXAq6LD+fl5RCIRRCIRZLNZdHR0YHp6Gt988w0tnicLCykO1mq1sNlsGBkZwczMDICaKWyhUEA+n28oum82dDod9Ho9TCYTcrkcHaslSRKmp6fh8/lo2zPP87h69So0Gg2WlpaoS70gCPD7/fQ16z/ziy6oVuQkmllYWEAsFkM2m4Xf74eqqlhcXIRWq0W5XEY+n6dNOqQWxWKx7NIM6ZrMZrNN2zlKsuhms5kezYiiCEmScOnSJYyMjODy5ctYX1+HKIrUX9DlciGTySCRSMDlckGSJHocxjTT2pyVZlZWVmgwRq4tErQBtY3O4OAgYrEYresCaqc99XYfzQZJXJBu12q1CrPZDI1Gg97eXgwMDOCdd95hmjkibRWo7bTokCQJw8PDkGUZHo+HXvzEzDMcDgMALBYLent7sbi4CFVV4XK5IIoiyuUyrT+JRqO0e0tRFOj1eszPz9M6A7IgkYL88/DKOS47W7I5joNOp4PT6UQ+n0e5XKYLUFdXF51HmE6n6WdjNpvxve99D3/4h3+Ip0+fQpZliKJIR9zsZYty0UTUypxUM0CtcDeVSsFgMMDr9SIajWJ7e5tmz4idB7lRK4qCubk5Ogux/kjdaDTSx7xp6jMbRDM2m41mzhVFgdFopJohhqeLi4sAaveTrq4uTE9PY2VlBYlEArIs4+7duzS7wjTTupy1ZgqFAiRJgtFoRKFQQDgcpg1tpVIJq6uryGazAGr2FsRaioxIbJZAjRx1ArWEgMVioWU2xWIRer0eTqcTV65cwcjICNPMMWirQG1n2zQA2O12ajg5MDCAeDyOZDKJVCqFP//zP6fFwFevXoXL5YLVakU6naaCSyaTNAW9vb0NVVVhNpsRDAbpzFCywBBPNtLZ0gxpabILI/YBdrsdw8PDKJVK2Nragt1up63l/f39SCQS1EQQADo7O+FyuTA+Pt5QJEvE8+jRIySTSfoZt2t7dLtyXM18+umntH3e4/HQOa9zc3OIRCK049FiscBut2N+fh6VSgWCICCZTFK7F6IPURRpK34zLDgkY042WxqNBiaTCQ6HA5IkIR6PUx/BK1euoL+/HwCouTZQ29z09/djYmKCaaYNOS/NGI1GDA0NoVwu03Unn8/TDQJZa+x2e4Pp9EGcp/3Hzm7VetsNg8GAoaEh6HQ6up64XC4MDAzg9u3bsNvtDXpnmjmYtgrUnE4nnjx5gnQ6DavVips3bwJAw5c+OzuLVCqFtbU1fPHFF7Db7chms+jp6cFbb70FnU6HmZkZarA3Pz9PFxWLxUJHUGm1WuRyuYZ/n2TVyA1+v+JpUkBJLA1OSn1XKqmbIVk8UhtEdjbFYhEWiwUWiwWxWIyO5iC/5wcffACPxwOn04loNIr79+/TlDRJPe8soH38+DFSqRQWFxfbfihuu3IczSSTSTx79gy5XA6qqiIajeL27duYnp7G5uYmtSSIx+Mwm80wGAyw2+0oFAq0/Z5k08i1SwK0+i7rnZohiwDxWzqNZupfk/yf/Hv1dhsul4sukKTrmdTRkXrOes0ANT+tnRlnppn24zw1AwButxsajaahFIAEZKRrkrCzyaUevV4PvV5P7XNOC9HMTp3yPA+tVgtRFGkGjayVpMabNN58+OGHGBsbY5o5Jm0VqAGvfJvI/3d2hBAPnFAoBADIZDJYW1uj5pXvv/8+xsfHIcsyotEoOjs7YTAYsLW1BYvFAp7nYbfbaQ3a9vY2NBoNvTDJ65Bjn3K53FAoTYI0j8cDnuexsbFBA0HS6VM/IWAvyBErEUaxWEQul2tYfIDawmOz2WCz2aAoCt2NkPdGpg2QGhzSBVvfbj4wMLDnzoXsKkmtniRJFy4d3S4cVTNkzqeiKAiHwygWi3j48CE0Gg1GR0epqafRaITP50MoFEJ/fz/tbCNTDra3twHUFqRKpQK9Xo9cLkdLC4jdB0Gj0dANh6qqSCaTDc0IGo3m0Fodco0bjUZotVqqVfI713eomUwm2O126PV6+rmQBaVUKqGjo4PeC4hmAGB6ehrLy8vw+/1MM23OeWkmmUxifHwcq6urKJfLNBMdCoVQLBbhdDqpqbLVakU4HIaiKPReTjRAasQsFgv0ej2i0Sh9jFarpTXVR9EMsWzieZ6eGJHgi9TTabVauN1u2Gw22phHjJ/JzNOOjg4Eg0Hcvn2bflb37t3D/Pz8vu+BaaZGWwVqsVisIQW9V3qU+K4oioJsNovNzU16w85kMggEArDb7RgbG0Mul4PP54MgCEin0xgcHITD4aD1AkNDQwgEApBlGYVCAZVKBQ6HA263G9VqFevr6wgGg8jn88jn8ygWi3Q0k8/nA4CGo0aO4yAIAsrl8q5snUajoV2lJLvncDgwMDCAly9fNriaS5JEa4VIJ54gCABA6wSy2SyMRiNMJhPdyRF2tpvvNc6m3vTRZrNdSPG0A8fRjCRJUFUVMzMzSKfTtJZrY2MDVqsV09PTePr0KSwWCzweD/L5PGw2GxwOB5aWluDz+XDt2jU8f/4c1WqVehaSzZBWq0WxWMTc3BzK5TItLSBWGGThIc8jfktGoxHFYnHX8SlZTAgGgwGCIMDpdNIpJECtu9vlciGRSNCft7a24HA46DD6arWKQqEAg8EAm83GNHOBOU/NkPu0x+NBLBaj9+hYLIbZ2Vnqu2a329Hd3Q1FURCNRhEOh+laQgIpsqEn93hSokOMd8n80Z2aMRgM9ISG2DaZzWZwHEc1Qmq5yaafzM2uVqtwOp1040RmQ3d0dMDj8UAUxV2fF7Hm2GsEFNNMjbYK1PabTrATr9eLP/qjP8Lg4CB++ctfUgFtbW3h6tWrAGo1ByQ9bbVa4Xa76Sy+5eVlOnh3fHwc1WoVX375JURRhNFoxEcffYTbt2/jk08+wSeffIKHDx/Szjer1Qqfz4fOzk4Eg0GYTCY694w8hgiFHKWSYmZy3FosFiFJEjweDwwGA3p7e2E2m+li5vP5kE6nEYlEEAqF6DgbAPD5fHRHZTKZMDw8jOHhYZp2BvYex3WQ0aCiKPQ5F1FErcxxNOP1ejE6OkpvtqVSCclkErIso6ura5dmyLUgyzJyuRwEQUA+n8fVq1dhNBrx8OFDqpk7d+7gxz/+MZaXl/EXf/EX+O1vfwuj0QhZliFJEjiOQ29vL3K5HBKJBN3Nk+YdAA2aIe7lPM/TbjqDwQBRFGmXsyzLVDNjY2NIJBI02040w/M8zUqQY6TOzs5Ta4Z8zrOzsxeyi62VOU/NWK1W9PT04MGDBw1lLZcvXwYArKysoFKpwGAwYHh4GB999BHi8Th+/vOf48GDBwiHw5BlmWaGh4aGGjRTrVah0+nA8zwEQaCd2SSwc7lcMJvNNAuYz+dhNptht9uhKAqcTict7XE6ndBqtVhdXUUwGKR+ijzP08wamcnp9/v3PLY8TDdMMzXaKlA7rkvxxMQEeJ6HJEkIhULw+Xzw+/00wiciqh/z8ujRI0iSBADY2NgAUCskJoOZXS4XNBoN5ufnqfXF4OAgkskk9ZLp6OiAIAjo7+/HxsYGPWKx2WzU2sDpdNLRTQaDAZcvX0Y4HMb29jYURYEgCIhGo7SA0+Vy0aDt7bffxi9/+UtEo1EqKmKb4HK5MDk5iWw2i6mpKdy4cWPXZ3WcGxGAC92N0+ocVzNerxc3btygx/YAMD4+TjO6+2mmu7sbQKNmrl27Rnf/XV1ddDRZsViksy/tdjudjmGz2ZDNZrG1tUUXG7vdDlEUEY1Godfrkc1mIYoirFYrLl++jGAwiEgkQoMyUutTqVQaNPPhhx/ik08+wfLyMrXhITVxHo8HN27cQDabhcfjwcTEBG7dunVizbAuttbmvDXj9XrB8zyeP39Om1TIEavb7aa1bSMjI+B5Htvb24jH4/TaKhaLSCQScDgcuzSj1+vhcDhgNBoRj8fphkUQBDgcDvT29kKn02FtbQ3JZBI6nY4GbEajEU6nEwaDAZIk4Sc/+Qnm5uawvLxMdUzm/RqNRly5cgWCIGBoaAiTk5NwuVwnWmuYZtosUAMOdiney4fF6XSir68PfX19AEB3yfURfH226NatW/RisdlstMNHVVWEw2FkMhn85V/+JTiOQygUQiqVAsdxuHbtGvUuA4B8Po/V1VV6hKLT6SCKIuLxOM0yWCwWeuzT0dFBj2tIwKfX62mGrr+/H93d3VTwuVwOVqsVPM8jHo9DURRYLBbYbDaMjY0dmEY+zo3oKJkERnNzEs2Q2kcAexZT1z/vKJr5+uuvsbm5iUePHiGVSkGWZVy+fBm9vb0AarWk8XgcwWAQgiDQBcHhcKBSqdCaMdLZ7HK54HA4kMlkEI1GIQgCtdrR6/Xo7+/H+Ph4g2ZIPc3nn3+ORCJBsxK9vb1UM+T3PSxbdpgGmG5am/PUDFBbh+rd+m/evIloNIqPP/6Y/tlOzaTT6UM1AwDd3d2IxWLUzNxms8Hj8dApG5lMBtVqFXq9HmazGTzPQxRFjIyMNGhmYmICn3/+OVZXV/H5558jmUzSjunJyUlYrVaMjIzAZrMdOMGGrTWH03aB2n7sF43vd6EcFMHvd2E9f/4cm5ub2Nraom3VRqMRHo8HqqoiHo8jlUrRAtJIJAKtVgufzwePx4NisQhBEGhdTrlchsPhQLFYpEc/ZLQTyQwMDQ3BbDbj3XffxejoKD2KJMHnpUuX8OTJExSLRXzve99Dd3f3kQoy97sR7bwJHTWTwGg9TqKZ/Z53mGbi8Ti+++47FItFGI1GSJKEfD6PQCCAQqEAWZYhyzLi8TgdY9bR0QGr1QpZlukiIcsyOjo6YDQawXEcvF4vPdrR6XTI5XIYHx+Hx+PZpRmbzYYf/ehH6O/vb9DMlStXIEnSnhmBeo6qGeDoGThGa3GemvF6vYjH46fWjNfrhSiK2NraokX/brcbRqORmtIS4/O9NHPnzh2Ew2HMzs7C4XBQzTx48AB6vR7Xr1/HlStXkEgkTrzWMM00cmECtYOi8f1usPs9Z6/Hj46OYnV1Ffl8ns4LJR5tiqIgEAigVCohFouhXC7D6/XC4XBAVVXY7XZMTk7i+vXr1HOnUCjQYx+ysyIz0shIHovFAkmSIIoiHA4HFTrwysunu7sbPT09WFhYQHd3N+x2+4lTxscNXBmtzUk0s9/zxsfHD9QMOd4kmikUCjQbTaYWSJIEq9WKfD4Pq9WKGzdu4Ic//CEePHiAlZUVFAoFWgtnNBoB1DTj8Xhgs9ngdDpPpBnyXs9SM0w37Um7a4Z0qtbrhkzp+OM//uMGs+iTrjVMM7u5MIHaSaLx4zzH6/Wiv78fm5ubtHOHtPF//fXXSKfTWF9fp8XNoijCYDDA7Xajr68PH330ESYmJjAyMkJb/MnuiRx1dnV1weFwANh9RLtT6KQwlAR5Z9HafJzAldH6nHQHe5x6rXrNWCwWvP/++5BlGc+fP0coFMLLly/p1AKiGZvNhkuXLlHNXLp0ibb4x+NxbG5uQhRF+u9YrVY4HI6m0gz5/Zlu2ovXpRlZluF2u5HL5fDWW2/Rmra9NCNJEhRFobOc33vvvRNrxuutecTVk06n6XErgCNlnw+CaWY3FyZQO0k07vV6MTAwcKA3EvAqTasoSoOf2XvvvUc70EjtmV6vx9jYGEZGRhp2Km63G0CtwYHMiguHw7vqFOprGUgAB+wv9LNsbb7IqeeLyGl2sKThZr9M1F6aqV90JEnCX/3VX1HN9PX1YXx8HJlMBlarFZ2dnVQz9Tfvnbt9phnG6+R1aMbhcMBqtSIUCoHjODoncy/N3Lp1C6IoIhQKobOzE7IsIxwOn1gzwO5r2u/3Y2Vlhf580uzzfq/PNHOBAjXg+NH4UbyR6i/yQCAAr9dLbTzi8TiAmjcNKR7t7u7G2NgY+vv7G4Kwo7Tz19fNJRIJLC4u0mLN/eqAzjJVfJFTzxeVk2im/qZ/2GOYZhjtxnlrBqgdN/p8PoiiCI7jsLq6uqdm7t27h1gs1hD4HGaBcZhm9nr8zrFPp4FpZjcXKlA7LkfpMql/jCiKkGUZvb29WFtbw+9+9zt0dXUBACYnJ2mGjewQ6oV3WDv/zn9PlmUAtbSzzWbbt6bhrFPFFzX1zDgaTDOHvx8Go57jagYAHA4HNBoN1tbWMDMzg8uXL0OSpF2aIa9zVAuMnf/eXprZq9yFaeZ84Q9/yMVl5wW91wVe/2d2ux13796l3jS5XA6Li4sAav5qExMTDQuDJEmoVqs05X2c90TqCYjPDksPM5qB16EZSZIwMDCAWCyGcDh85PfENMNoRo6rGaB2vDgwMIBQKASTyYRIJAJgt2bI8eXAwADVznHeE9NMc8AyagdwlBTsXo+ZnZ1Fd3c3FhYWANR2JfUXOEkrJ5NJLCwsYHh4GKlU6kj1MPX/3k6TxL1amvfiqI9jMI7LeWsGAJLJJFZXV2G3249kfHmQZshrH6YHphnGeXFSzcRiMYyOjh5ZM8RhYK9RTQf9e0wzbx4WqB3CUVKwOx9DzA1HRkaQTqdx9+7dPdPKZManLMuw2+0NKe+DLvK93tNRXZsvsrsz4/VwnpoBXulmr1mL++lmv/d0FD0wzTDOG6YZxkGwQO0cOGyHRLpaSOcOSS+T3dBJLvKjujZfZHdnRvNyVM0AtWMY4tVE/g44P90wzTCaEaaZiwML1M6Jg3ZI9QKbmpralVY+yUV+1JZm1vrMaFaOqhlyze5coM5LN0wzjGaFaeZiwAK1N8RBAjvJRX7UlmbW+sxoVfbqNKvnvHTDNMNoVZhm2gMWqDUhJ73Ij9rSzFqfGe3IeeqGaYbRjjDNtAYsUGtS2EXOYBwfphsG43gwzTQ/zEeNwWAwGAwGo0lhgRqDwWAwGAxGk8ICNQaDwWAwGIwmhQVqDAaDwWAwGE0KV2+Cd2YvynFpg8EgDg4OnvlrMxhnydLSEorFoqyqqvVNvg+mGUar0CyaAZhuGK3DaXRzXoFaCIAAYP3MX5zBOFt6AORUVfW9yTfBNMNoIZpCMwDTDaOlOLFuziVQYzAYDAaDwWCcHlajxmAwGAwGg9GksECNwWAwGAwGo0lhgRqDwWAwGAxGk8ICNQaDwWAwGIwmhQVqDAaDwWAwGE0KC9QYDAaDwWAwmhQWqDEYDAaDwWA0KSxQYzAYDAaDwWhSWKDGYDAYDAaD0aSwQI3BYDAYDAajSWGBGoPBYDAYDEaTwgI1BoPBYDAYjCaFBWoMBoPBYDAYTQoL1BgMBoPBYDCaFBaoMRgMBoPBYDQpLFBjMBgMBoPBaFJYoMZgMBgMBoPRpLBAjcFgMBgMBqNJYYEag8FgMBgMRpPCAjUGg8FgMBiMJuX/B+YMzSrFG47UAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rclustering._predictor = _fit.PredictorFirstmatch(\n", " rclustering._fitter._neighbours_getter,\n", " rclustering._fitter._neighbours_getter,\n", " rclustering._fitter._neighbours,\n", " rclustering._fitter._neighbour_neighbours,\n", " rclustering._fitter._similarity_checker,\n", ")\n", "\n", "fig, Ax = plt.subplots(1, 3)\n", "\n", "r = 0.3; c = 30\n", "rclustering.predict(clustering, r, c, clusters=[1], purge=True)\n", "_ = clustering.evaluate(ax=Ax[0], ax_props=ax_props)\n", "Ax[0].set_title(f'1 {(r, c)}', fontsize=10, pad=4)\n", "\n", "r = 0.3; c = 3\n", "rclustering.predict(clustering, r, c, clusters=[2])\n", "_ = clustering.evaluate(ax=Ax[1], ax_props=ax_props)\n", "Ax[1].set_title(f'2 {(r, c)}', fontsize=10, pad=4)\n", "\n", "r = 0.3; c = 30\n", "rclustering.predict(clustering, r, c, clusters=[3])\n", "_ = clustering.evaluate(ax=Ax[2], ax_props=ax_props)\n", "Ax[2].set_title(f'3 {(r, c)}', fontsize=10, pad=4)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T14:37:31.634454Z", "start_time": "2021-10-02T14:37:31.630541Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Label\tr\tn\n", "--------------------\n", "1\t0.3\t30\n", "2\t0.3\t3\n", "3\t0.3\t30\n" ] } ], "source": [ "print(\"Label\", \"r\", \"n\", sep=\"\\t\")\n", "print(\"-\" * 20)\n", "for k, v in sorted(clustering._labels.meta[\"params\"].items()):\n", " print(k, *v, sep=\"\\t\")" ] } ], "metadata": { "kernelspec": { "display_name": "cnnclustering38", "language": "python", "name": "cnnclustering38" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.8" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": true, "title_cell": "Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "164.988px" }, "toc_section_display": true, "toc_window_display": true }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 4 }