{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# CS109B Data Science 2: Advanced Topics in Data Science \n", "\n", "### Lab 3 - Clustering\n", "\n", "\n", "\n", "**Harvard University**
\n", "**Spring 2020**
\n", "**Instructors:** Mark Glickman, Pavlos Protopapas, and Chris Tanner
\n", "**Lab Instructors:** Chris Tanner and Eleni Kaxiras
\n", "**Content:** Chris Tanner and Will Claybaugh\n", "\n", "---" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "## RUN THIS CELL TO PROPERLY HIGHLIGHT THE EXERCISES\n", "import requests\n", "from IPython.core.display import HTML\n", "styles = requests.get(\"https://raw.githubusercontent.com/Harvard-IACS/2019-CS109B/master/content/styles/cs109.css\").text\n", "HTML(styles)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "from sklearn.decomposition import PCA\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn import preprocessing\n", "\n", "%matplotlib inline " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Learning Objectives\n", "\n", "By the end of this lab, you should be able to:\n", "* Explain what PCA is and know the differences between it and clustering\n", "* Understand the common distance metrics (e.g., Euclidean, Manhattan, Hamming)\n", "* Understand how different clustering algorithms work (e.g., k-means, Hierarchical, DBScan)\n", "* Explain the trade-offs between the clustering approaches \n", "* Quantitatively describe the quality clusters' fit, according to different metrics\n", "* Comfortably cluster any new data that you are presented with\n", "\n", "**This lab corresponds to Lectures #4 and #5 and maps to Homework #2.**\n", "\n", "## Table of Contents\n", "\n", "1. PCA Refresher\n", "2. Distant Metrics\n", "3. Clustering Algorithms and Measuring Quality of Clusters\n", " \n", "## 1. PCA Refresher\n", "\n", "
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Discussion #1 What is PCA? How can it be useful?
\n", "\n", "\n", "### How to use it ( via `sklearn`):\n", "\n", "\\# assume we a DataFrame `df`\n", "\n", "#### a. Instantiate a new PCA object:\n", "`pca_transformer = PCA()`\n", "\n", "#### b. Fit some data (learns the transformation based on this data):\n", "`fitted_pca = pca_transformer.fit(df)`\n", "\n", "#### c. Transform the data to the reduced dimensions:\n", "`pca_df = fitted_pca.transform(df)`\n", "\n", "Using two distinct steps (i.e., (b) and (c)) to fit and transform our data allows one the flexibility to transform any dataset according to our learned `fit()`. Alternatively, if you know you only want to transform a single dataset, you can combine (b) and (c) into one step:\n", "#### Fit and transform:\n", "`pca_df = pca_transformer.fit_transform(df)`\n", "\n", "### Example:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "ms_df = pd.read_csv(\"../data/multishapes.csv\")[['x','y']] # loads x,y columns of a dataset\n", "pca_transformer = PCA()\n", "fitted_pca = pca_transformer.fit(ms_df)\n", "pca_df = fitted_pca.transform(ms_df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**NOTE:** The above PCA transformation is a bit silly because we started with 2 dimensions and are transforming it to 2 dimensions -- no reduction. The data is still transforming the original data by applying a linear transformation so as to capture the most variance, but PCA is even more useful when the original data is high-dimensional. This example was just to remind you of the syntax.\n", "\n", "
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Discussion #2: We didn't scale our data before applying PCA. Should we usually do so? Why or why not?
\n", "\n", "

\n", "\n", "## 2. Distance Metrics\n", "\n", "In the picture below, we are concerned with measuring the distance between two points, **p** and **q**.\n", "
\n", "(edited from Wikipedia.org)\n", "
\n", "\n", "### Euclidean Distance:\n", "\n", "The Euclidean distance measures the shortest path between the two points, navigating through all dimensions:\n", "\n", "
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\n", "\n", "\n", "### Manhattan Distance:\n", "\n", "The Manhattan distance measures the cumulative difference between the two points, across all dimensions.\n", "\n", "
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Discussion #3: Where have we seen something like this before in CS109A? What are the effects of using one versus another?
\n", "\n", "
\n", "\n", "### Hamming Distance (extra credit):\n", "\n", "If our two elements of comparison can be represented a sequence of discrete items, it can be useful to measure how many of their elements differ.\n", "\n", "For example:\n", "- `Mahmoud` and `Mahmood` differ by just 1 character and thus have a hamming distance of 1.\n", "- `10101` and `01101` have a hamming distance of 2.\n", "- `Mary` and `Barry` have a hamming distance of 3 (m->b, y->r, null->y).\n", "\n", "Note: the last example may seem sub-optimal, as we could transform Mary to Barry by just 2 operations (substituting the M with a B, then adding an 'r'). The very related **Levenshtein distance** can handle this, and thus tends to be more appropriate for Strings.\n", "\n", "

\n", "\n", "## 3. Clustering Algorithms\n", "\n", "
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Question: Why do we care about clustering? How/why is it useful?
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\n", "\n", "We will now walk through three clustering algorithms, first discussing them at a high-level, then showing how to implement them with Python libraries. Let's first load and scale our data, so that particular dimensions don't naturally dominate in their contributions in the distant calculations:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " x y\n", "count 1100.000000 1100.000000\n", "mean -0.081222 -0.625431\n", "std 0.644967 1.176170\n", "min -1.489180 -3.353462\n", "25% -0.478839 -1.126752\n", "50% -0.132920 -0.297040\n", "75% 0.366072 0.250817\n", "max 1.492208 1.253874" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# loads and displays our summary statistics of our data\n", "multishapes = pd.read_csv(\"../data/multishapes.csv\")\n", "ms_df = multishapes[['x','y']]\n", "ms_df.describe()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " x y\n", "count 1.100000e+03 1100.000000\n", "mean 6.459479e-18 0.000000\n", "std 1.000455e+00 1.000455\n", "min -2.183985e+00 -2.320473\n", "25% -6.167723e-01 -0.426425\n", "50% -8.019252e-02 0.279331\n", "75% 6.938298e-01 0.745340\n", "max 2.440659e+00 1.598544" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# scales our data\n", "scaled_df = pd.DataFrame(preprocessing.scale(ms_df), index=multishapes['shape'], columns = ms_df.columns)\n", "scaled_df.describe()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plots our data\n", "msplot = scaled_df.plot.scatter(x='x',y='y',c='Black',title=\"Multishapes data\",figsize=(11,8.5))\n", "msplot.set_xlabel(\"X\")\n", "msplot.set_ylabel(\"Y\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3a. k-Means clustering:\n", "\n", "
\n", "\n", "
Table Exercise #1: With your table, collectively discuss how k-means works. Use a whiteboard, draw a bunch of dots, and walk through each step of how the algorithm works. When you're confident of your answer, speak with a TF to verify its correctness.
\n", "\n", "### Code (via `sklearn`):" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from sklearn.cluster import KMeans\n", "ms_kmeans = KMeans(n_clusters=3, init='random', n_init=3, random_state=109).fit(scaled_df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That's it! Just 1 line of code!\n", "\n", "Now that we've run k-Means, we can look at various attributes of our clusters. Full documenation is [here](https://scikit-learn.org/stable/modules/generated/sklearn.cluster.KMeans.html)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 1.06623356, 0.17403387],\n", " [-0.46343097, 0.54170897],\n", " [-0.98352608, -1.57663916]])" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "array([1, 0, 0, 1, 0, 0, 1, 1, 1, 1], dtype=int32)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(ms_kmeans.cluster_centers_)\n", "display(ms_kmeans.labels_[0:10])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting\n", "Take note of matplotlib's `c=` argument to color items in the plot, along with our stacking two different plotting functions in the same plot." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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du4p1p2LRNI0OwSFMu3E4dXwvfh8aBgTSMCDQ4zWLXEI6/5iPwcC4du1ZfCzKZXbKR6/nyZ69PT4122Zld3w8PgYDPRs2YniLVgxv0crrrW5p05bejRqzIvo4dkVhaPMWNAmswcYzp8i0ui5VmvV6bm3d1vu4PYhMSebdTRuISE4k0GTmga7debBbeKlKSRhkGTzuywSTrKdFzVrEZpxzO8OhKDQICAAKArZlJ46SkZ9P70ZN+OnAXrdg16oozI+K5O1BQ5B1JcvyqN+8Lr6BPuiNMjaLQnZ6Lu/f+RlPTJ9K2IB25GXmuT3HYXOwYc42EWwJQiURwZZQag0DApl7xyQyrfk4VJVgX7+qHlKlWnL8qMcZIUmSOJCUSK9Gjcv1fmeyMhkz53fyHU5sipNNp0/y84F9zBk/iW9H34bN6UTVtFK3tpnQviPH0lLdXkugyUTb2hfzfd4eNBQNWHz0CLKkQ9ZJ/KtPf48B1OxDEby7aX1BcKKBSS/zy23j6FBMg+dgPz/u7eyazD395tE8smwxiqphVxV8DQaaBdV0O68osRnnmLhgDhZHQamDVEsen+/cRmJuDm/dUPyOzAsCTSZ6NGzEzrizLjNYZr2eOzt2on+Tpmw+c8rlvTTr9Yxo2ZpaPr7siDvLg0sXoWoaVqeTH/bvdQleL+VQFRyqUuJga+Pc7RzbHY3NUrDEqSoqtnw7Xz79E1/t+gBV8bwga/JxL0irKAqHtxwlL9NCx/5tCawdUKIxCIJQNBFsCVfswq61642Pl5krTdMwV8Cs1nubN5BtsxUun11Ydnpj3WoWTLjrimfSxrfvyNqTMWw7exaHqmCUZXSSxLejbnOZ9TLKMtOGDuP1AYM4l2+hvn/A+ZkeV9/v2c20bZsKxwiQ64B7F89n2Z33cCQ1lTp+fnQKqVuixOz+TZqy+p4pzD8SSWJuDv0bN2VYi5Ye7+3N17t3esyl+vPwQZ7p1adUP8OfDBvBpAVzSM3LQ6NgObNvoyY81C0cgyzz7ajbeHPDWuKzszDIMhM7hPFq/xtQVJUnli8tDPigYEOJt3egeVDNUtUS2zhvm8sy4QV6g0zSyRQat21I7MHTaOrFINHka+KWR4e5nH86Ko6Xh72LJduCJEk47U7ufXsCE18aU+KxCILgmQi2BKGU7urYmR1xcYV9/C7wN5oIO7/TrzxtOXPaY55SRHISdkVx29G3LzGB9zdv4EhaKsG+fjzeoxcT2nd0C3D0Oh0zRo9hf1Iiu+LjqO3ry4iWrb224PE3Gr0+tis+jv/bvtnjY7l2Ozf8+iNmvR5V06jvH8DMMeOpH1D8rEmDgECe7tWn2PO8OZyS7DWX6nRWVqmCrRA/f9bcM5WdcWeJy8kmLKQubesEFz4+oGkoG+57AIvDgUmWC2emIpISsSvus1ieFiVlSeKdwUNLPCYAH38fJMlz3TOzn4m35r/A84P+TV6WBU3VUFWNfmN6cPMDF2f2Ek8m80y/N9yWHH97Zz5te7ai86AOpRqTIAiuRLAlCKU0pFlzJnUMY/ahCGSdDgkJg6zjx1tvr5CWMma93uOSkyxJhTsNLziYnMQ9i+YVLmedzc7inY3ryMzP55Hwnm7XkCSJbvUb0K1+2dq1fLV7h8egBihM4M+1FyxzncrM4LG//2LxpLvLdM+SaFW7NtEZ59yCVbui0MhLLltRdJJEn8ZFV9/3vWw5tzTlFfQ6GaNcul/Lox6+ka2Ld7m18TEYCxLpZb3MrJNfs2/NIdITMmjXuxVN2zUqPG/J1yv55vlfcdrdf8ZsFhtLv/mn3IOtxJPJzPnwL6J2HKdx2wZMfGkMrbo1L9d7CEJ1IoItQSglSZJ4c+Bg7u/cjR3xZwkymRnYNLRCEuMBJrQP49eI/dgumR0xyjKjWrVxC+4+3bHVLQcr3+nky907uL9Ltwob4+nMzBKfq2gax9LTicvOolFgjQoZzwWPh/di3clYj7lUtX0rZ0NHx5C6+BgM5Dnc+xJezq44WXcy1i34TUs4x7LvVnM68izterVixINDCahZsBu008D23Pnq7fz+3gL0BhlJJyHrZd5f8RqyvmDWU5Zlegzv4na/pFMpfPfCTI+B1gU5GbmlebnFOh0Vx1O9X8Oeb0dxKpw8fIYdy/by9sKXCB/WuVzvJQjVhQi2BOEKNa5Rg8Y1KjZYAHiud1+OpaeyMz4OvaRD0TTaBQfztocE76jUVI/XULWC5PDyDG6ScnN4d9MG1p+KLbKtj2cacdnZHsejaRr7khLYn5hIiJ8fw1q0vOJ+iO2CQ/jx1rH8e8MaYjMyMMl67grrxIt9B1zR9a7EhTy4+xbPR6NgVk2iIOfr8tlAvU7ntlQbvf8kzw96C6fdicPmYNeK/cz9aAlf7/6AkCYFy5iTXx/HiAeGcGB9JH6BPnS7qRMGY/Hv2dZFu4psu2TyNTFgnPsybsrZNL588kd2rzyATq9j0IS+PPbp/fgHFb9Z5vuXZ2HNzS+8r6Zq2Cx2Pn90BjNjvhSFVoVrkqRVQc2akgoPD9f27NlT1cMQhEqTkJNNts1Gi5q13BLBT6Sncyw9lWZBNT3u7suz2+nz03eFy3WXMuv17H3o8VLvWPQmz25n6MyfSM+3eF0+LI5Rp+OJnr15qmfBH/NTmRnsjDvLrEMRxGacw6mqGGUZgywzZ9wkWtWuXaYx2xUFg05XZX/Mc2w2VkQfJ9NqpUNICA8vXew2C2mW9ay5dwoNLlnifDz8JU7sO+lynk4nMWB8H97487kyjWn+J0v56bXZODzMbOkNMs06NeWzze9iNF8MAPNz87mv1dNkpWahnk+61xv1NGnbkG/3/6/Y9/e2oPuwZFs83m9u0g+FM3aCcDWSJGmvpmnhlx8XM1uCUA2k5uXx2PIlRKYko9fpkHU6/jv4Jka1blN4TqvatYsMOD7YuslrbtddHTsXGWil5uWx8fRJNE1jZKs2+HlJhL9gybEocux2t0BLwls1Knd2VeXr3TvpHFKPlTEnWHQ0ClVTXYq0OlQVyeHg8eVLWH3PlBJe2bPStgYqbwEmExM6hBV+/e2o23h8+ZLC4MSpqnx0080ugZbVYiMm4rTbtVRVY/eK/WUeU78xPfn5jT/cjks6iXv/M5Fxz43GaCr4ucnPzef43lgiNkSSn5tfGGgBOO1OEmOTObD+MF2HhLld71KBtf09BluSrMPs515pXxCuBSLYEoRqYMpfCziWnoaiaYVlE15cs5KmQUEeq49fkJiTw08H9rIvMYGDyUleZ5le7T/Q6zU+3raFb/buKkwif3ntKh7u1oNXinjO4dQUt92YULpgCwpKRHy0fQsxGedcctIupQHxOdmczcqqlGXbski3WFgQFUlsxjm61W/ALa3beg1yBzQNZfdDj7Ht7FkUVaVv4yZuQa6s16GTdR5rZRk91MkqrfrN6zLlvTv5+Y0/UBQVNJANMne/OZ47X7m98Lwl3/zDjBdmIhtkbBYbitN9PIpT4UxUfLHB1vjnR/P9y7+7JPQbzQZuvHtgiZY+BeFqJIItQahiR9NSOZmZ4RYo2RWFnw/s4+NhIzw+LzbjHLfP+R2r0+kyG3Q5Dbzuktx85hTfXhJoXTBj327CQuq6zKxdqm3tOvjo9W7LYN5H4d2prEyPRWIvJQGKdiVXrzxRqSlMXDAHp6pidTpZdvwYX+zaweKJkwuT8RVVZf2pWNadjCXI7MP49h0Y0sz7LjyD0UDf23qw7a/dLknsRh8jox723tKnOJqm8feM1Sz47G9yM/MIv7kLjds0xC/Ql36396RJ24aF5x7eEsWMF2diy7dDvvdrynqZxpc8D0BVVSRJcllavPXxm0mMTWHJN/9gMBlwWB30HNmNxz8v28ylIFRnItgShCqWmpfnVsIBChKo43OyvT7vg62byLXbi5xJkoDejRp7zaP59cB+r7Nhn+zY6jXYuq1tez7duQ2bopS5V6G/0egxz+xSdXz9aOql+XZ18cLqlS6vw+J04MhT+Hj7Ft4fOgynqjLlrwXsT0os7Kn5S8Q+Phw6nFvaeG9B9Nx3j5B0MoUzUXHodDqcToWuQzoy+Y1xVzzWr575iZU/rS+cXdqxdC+HNx/lh8OfULOu6/u8aPpy7PlFf3/0Rj31moXQZXBBiYjE2GQ+f2wG+9cdRifrGDi+N09+8QABNf2RJIlHP76PyW+MI+54IsGNa1OnQa0rfi2CcDUoWT8IQRDKXY7Nxrwjh9mflIjV6Xk3X3x2NlvPuufsAOyIO1tkoGXW6wk0mXhnkPcimZf3HrxUer57Xs0FgSYTCyfcRa+GjbyeUxIhvn7c1bGz18r7JlnG32Bk+ojR1XqXWrbNSvS5dLfjDlVlVUw0AMuOH2V/YmJhJfkLM2CvrF1FfhFlIfyD/Phy5zQ+Wv8fnv3uEb7e/QHvLX31ipfcMpIzWf79WpdlPFVRyc+1sviLFe7np2R53LGoO7/EaTAZGDSxLx9v+A86nY68bAtP9X6VfWsPoSoqTruTTfN38K9Bb3HphqyAmv6069WKOg1qoaoqJw+d5uSh01TnTVuCcKXEzJYgVIG9ifHcv3gBGgXNilVNQ5Ykt1mm+JxsHlq6mI9vupkRrVxnmQKMJo8zQrIkcXPLVnQMrsuEDmHU9PFeJX1Mm7bsS0rw+FjPBg09Hr8gNKgmv4+dwKjZM4lK81xywhP9+dfZvX4DfrltHJIksTL6OKeyMrE4HIU7Bm9s1oJejRpza+u21DCbS3z9qiBL3j+3XthVuuTYUSwe8txkncSehHgGNA31eg1JkmjavhFN2jbAx79sbbJiD57GaDbgsLmOxWFzcHDTEbfz+9wSzrHdMW6zW3q9njmJM/Cv4VruYc2sTdgsdpf2QE67k6STKRzceMStQGrUzhO8M/4jcrPyQIOAWv68Nf8F2vRoWabXKQjViQi2BKGSWBwODqckE2gy8cjSv9yKXBplGQMS1ssSxa1OJ6+tW83NLVtzLj+f+UcOc/xcOmEhdcmw5rvsQDTJMqNbt+V/N91cojHd0SGM7/fv4Wy263KlUafjpX7eE+Qv1aVefY6fT+6/nEmWsZ2vK2XW63miR2/CQurSunYd6vpf3OK/cOJkVkYfZ9PpU9T3D2BCh7Bqnwx/KT+jkd6NGrPt7BmX98Eky0zo0BHA6+ydplFksdmUs2n8b8pXHNoUBUCbHi148ZcnadSq/hWNNaRJHY9FTHWyzuM1Rz18E3/PWENqXHphwGXyNTHlvUlugRZAbMRprBb3Xo2qonLmaLxLsJWbmccrw97FknMxGcyaZ+Olm95h9plv8QusnMKzglDRRLAlCJXg90MRvL95A7JOh0NRsHsoAmpXFK+J7Fk2G79G7OPTHduxKwo2xYlZlgEJo07GpJexKwoNz5cNmH/kMKNbtym2GKhJr2f1PVP5dPtW5h45hF1RCG/QkDcHDqZ5zZLl0TzSvQdLjkW5BI8+ej23tmlLkxpBrD8ZS13/AKZ06ea1LZBRlrm1TTtubdOuRPesjv53081MnD+HNEteYR5bt/oNeDy8FwCTOnZi4+lTbrs4TXqZ7l7eF6fDyTP93uBcYkbhjsSoHSd4pt/rzIr96opmuRq3aUjr8BYc3XnCpb6WwaRn7HOj3c73DfDh6z0fsuy7VWxdvJuaIYGMeWokXQZ39Hj9ll2bYfYzuTXHlmQdoR0auxzbMGebx52WqqKyad52RjxQfJ9Ip8OJqmqFJSoEoToSRU0FoYLtTojj/sULit1xBxdngjzx1RvclqFkSWJosxYMCm3Ge5s3oGoaVqcTX4OBWj4+LJ44mVo+FT87cCw9jf9u3sDehHhqmMxM7dqdqV27V0ivyLI4l28hLjubpjWCKmRpUtU0tp09Q1x2Fh1C6hJ2SdkOTdP4cOtmfo3YV9hTU9ZJ/DpmPJ29NDDfsmgn/3f/V+TnuG4DNPuZePyzKSUKRjzJy8rjf1O+ZtfyfUg6iaCQGjw349FyaZdTUPT0KbLScgoDKYNJT2jHJny16wOX3LtZ785n5ttz3fK0dLKO+/4zkbteG+v1PtnpOXz26HdsX7IHVdVo27Mlz//wmEvfR0GobKKoqSBUkV8O7PdYbPRyBp2OIc2asyL6hMfHPeX7KJrGtvH5Z+YAACAASURBVLgznMnOKky8hoIlS7ui8OmObbw7+MpLBJRUm9p1mDlmfIXf50o5FIXX1q1m2fGjGOSCWcBJHcL49w1DyjUg1EkS/Zs09fiYJEm80n8gd3fqzLazZwg0mRkc2qzIJcTEmGQcVve8PGuejYSY5Csep18NP95e+CKWnHwsOfnUrl+z3DYg+Pj78OWuD/j62Z/ZtXw/eoPM4Dv78/D/7nG7R9iAdph8jW6zYEZzQRNtbzRN41+D3yLuWAJOR8GHk6gdx3m23xv8euILAmsHlMtrEYTyIoItQahgqZa8EhX6VDSNN/oPYk1sjFvdrAt/ojxdR6/TEeNhJ5xTVVkZfaJCgy1N04hKSyXf6SAspF6VV2n35uPtW/n7xDFsilI4czjvyGHq+gfwWHjPSh1Lo8AaLpXki9KiSygGk6EwoLjAx99My67NyjwW3wAffAPKlnDvSUjjOry94MViz+t0Q3s69GvL4S1HC3dHmnxNhA1sT8f+3sthHNx0hORTqS7vi6YVJPn/88t67vjXrWV/EYJQjkTpB0GoYEObtfCaHH0pH72eXYnxvNxv4Pl8rAI6ScLXYKBv4yYYLqvHZZJlbm/b3mswZ5ALzi9rLSxPTqSnM+jXH5kw/0+m/LWQ8O+/ZmX08XK/T1lpmsasQwfcZhfznU5+PrC3ikZVMl2GdKRRmwYYLslH0hv11G5Qk35jelThyMqHpmnc+/YERj1yI626NadNj5Y88tG9vPvXy0XOtCVEJ7m0C7rAlm9n3ewtRGyMFCUkhGpFzGwJQgW7q2Mn/jgcQXJunteWNBdomsbUrt2pHxDAN7t3kpyXR3iDhvyrTz+CzGYmL5zH2ewLdY80utSrz0t9B3AsLY2d8WdddsKZZT0ta9ai24yvyLRaaRJYg9cHDOKmFmXfUu9UVSYvnEt6vsUl0Ht+1Qpa165T4uT6yqBomtc6VllF1BmrDnQ6HR+vf5tf357L2t82oaoaN0zow/3vTkJvKNmv75QzqXz/8iz2rorA7G/m1sdv5o5/3YKsr7pZyISYJHYt38fsaYuw5lqRdBKapvHCj48zcHyfYp/fLKwJ3mKx6AMneWP0NNr1asV/l78mWgAJ1YJIkBeuWVvPnOadTeuJzThHkNmHB7uF81C38CpJ2s622fj90AFWx0Qj63QcSk7CftlSoUmW2Tb1kSLrYmmaxu6EeE5nZdK2TnBhAnZybi4TF/xJuiUfRVORgGBfP1LycrFeknBv1uuZMXqM17yiktp46iRPrVhGruOy2ks6HVM6d+PVATeU6frl7eZZv3Dcw1JrjwYNmTN+UhWMqHJkpWUztf2z5J7LLZwJMvka6TemF6/OerrSx2O3OfjvpE/Z888B7DaH27q4ycfIt/v/R6PWnndnXmDJzeeVYe8Rc+AkdqvnQNrka2Tqf+9i7DOjymv4glAsbwnyYhnxOqRqGsm5ueQV0yLlavbepvXcs3g+J86lo2ga6fkWpu/cxodbN1XJeAJNJh4L78XCiZOZO34Skzp2wkevR4eEQafDJMu8N/jGIgMtKEiy7tmwEXe07+iy062uvz+r757Co9170L1+A8a260CqJc8l0IKCml2fbN9a5teTYc1H9bB46VRVUi15Zb5+efvPoKGY9frCQFuWJHz0Bl4fMKhqB1bBln67Cmuu1WXJzWaxs2XhDpJOpVT6eH59aw57VkUUBEgePuc7nQorflzr9fmWnHz+e+enjA+eyol9McgGGbOfyeO5Noudf35eX15DF4QyEcuI15l/ok/w7w1rybZZ0YCbW7Ti/aHD8DVcO1PtS48f5ZeI/W7H851OZkYc4OmeffAzGqtgZAUkSeLtQUO5o31H1p6Mwaw3MKpVGxoGBl7xNR2KwtQlCwv77u2Oj8euei4hcSoz44rvc0GPBo1QPDS/9tUbGBRa9sTt8tarUWMW3HEnX+/ZxfH0NDqG1OXx8J60qFW7qodWoSK3HvU482Mw6ok9eJp6oSGVOp7lM9YU2WdRcShkJGd5ffw/4z/i0KYjOGwFy/FOu4LRbMBgLmhofbnqvHIjXF9EsHUdOZCUyPOrlrvUe/on5gQWp4MZo8dU4cjK11e7d3hNCNfrJBJzc2hZDf7IdgipS4dLZqfKYuHRI+xLTCj83noLtIByee0NAwO5K6wzfx4+VFik06zX06JWLW5u2brM168I7YJD+GKEe9HOa1mTdo04sO6w225Gh0MhZv9JUk6n0XNkVxq08Fznq7x5qix/KR9/M71GdvP4WGJsMoe3HC0MtC5w2p0YfU04uKxYrI+R4VMGl23Aleh0VBwLPl3Gmag42vdpw9hnR4kG3dcQsYx4Hflmzy63HVk2RWHz6VMk5+ZW0ajKX2qe92Usp6pSz79yavA4VZXNp0+x+GgU8TnZxT+hDBZGRZaoaKpZr+eFvv3L5Z5vDBjEp8NH0L9JU7qdT9SfO35StS3/cD0a8+QI9EbXz9SyXofD5mDuR0v4/uXfeCjseX55689KGU+nge2LfLxxu0b0u91zKY7k06kYjO7zA6qqUS80GN9An4IlRakgaGvTsyW3PDa8XMZd0SI2RPJkj1f45+f1RG49xqLpy3mo4/PERydW9dCEciJmtq4jZ7IyPZYIMMgySbk5Lr3qrmZd6tVn/amTHh+7s2Mn/CthCTE24xx3LZyLxe5AQyvYvRfWmdcHDCq34pGXMug8BzhGnYxeJ2FVFBoHBPLO4Bvp2bB8KmxLksSg0Ob0bxJ6TS1DX0vqN6/LB/+8yccPfkNiTBIaoKkamqq5FBKd//FSet7clfZ92ni/WDl4YvpUHuzwLJ4mnvUGmVdnPY3eoEdVVXYs3cva3zeh08sMu28QLbuGFiTVX/48o54eN3dl8hvj2Dh3O+cSM+jQrw1dBneskH9r5U3TND595DuXWT+n3UmeU+H7l2eVqF6ZUP2JYOs6Et6gITEZ53BelmvjUNRqtVW/rF7sO4Cd8XHkOxwuweWIFq2KTYh2KArf7NnJrEMR5Nnt9G3clNcG3ECzoJolvr+maTywZBGpea7FTH85sJ9fIw4QaDJyT6euPNmzN3pdySaX0y0W9iQWtMLp0aAhsk5Hts3Kpzu2sez4UeyKgl6nc/veFiwn6tA0jRSLhXlRh+nXpGmZd2Tm2Gy8uX4NK6NPoGgqLWvV5oOhw+hc78qaIwsVp0PfNvx05DNyM/PY+fdePn/8e/JzXEte2PMdrJm1qcKDrSZtG9L7lnC2L3HfZe4X5Ef95iFomsa0u6ezY+mewoBwx9I9DJ8ymFEP3ciKH9cVFkCVdBJmPxNjnx2FX6AvIx+8svZFVcmSbfG4WUFTNQ6sO1wFIxIqggi2riOPdu/JkmNHyXPYC3OafPR6HuwWToDJ846eq1HbOsEsmjCZz3ZuIyIpkYYBgTzVq0+Jyh28sHoFq2NjCpdb152MYXdCHKvuvp8Qv5LN/B1LT/NYNV5FA00jw2plxr7dnMnO5JNhI4u93le7d/DFrh0YZRlNA3+jkZ9vG8vTK//mTFZmYVPrC+GTUZYx6HSFjaEvlJjIdzpYFxvLqphobm7ZqkSvxZsHlizkYEpyYW7YsfQ0Ji+axz+T7y9Tor9wZRx2B5sX7CRq5wkatKjL0MkDCKzlulzuH+SHpNNx8SflIk3TcNqLX4YuD498dC8HNx7BmmdFcRb8bJp8Tdzz5ni+fvYX9q85SEJMUuFjUNCeaOWP6/hq9wc0adeQ+Z8sIzcjj243hjH1/bs85jYd2xPDsu9WkXsul/5je3PDhD4lrk1WmQxmIzqdhKcsS78aFd/XVKgc1e8nT6gwDQMD+WvSZD7evpUdcWep5ePDI917cHvbovMorkatahfMtEiSVOJlw/jsbFbFRLs0gtYoKJcwM2I/L/QdUKLr5Dscxc4cWZ1OVpw4zst9Bxa5fLvt7Bm+3r0Tu6IUBlUWh53JC+e6HLswVoCmNYIY2qw5v0UcIO+yfooWp4OFUZFlCraOpqUSmZricm8omBX8NWI/r1WzGlvXutzMPJ7q8xpp8eew5lox+Rj59d9z+GTjOzTv5PoBI3x4ZxSHe1Bl9jMxaFL55PIVp2HL+ny7/3/8+cEiDm6Kon7zugye1JcvnvgRm9WO4vC8uUNVVfauOsjYZ0dxy6NF52L99dUKvn95FnarA03V2LMqgqXf/sNH696udgGX0WTghjv6snHedhyXLJOafI3c/nTxH8aEq0P1+qkTKlxoUM1rfkdWbMY5Xli9ksMpBY16u9VrwMfDRhQ743IsPQ2jLLsEWwB2RWF/UskTVTuE1PUwd+DOKOuJzThXZLD128H9bonvGgXLeE4vOy5PZWYQ5OPjNV+lrHksZ7IyPS5/OlSV6HNpZbq2UHq/vTOPpJMphTNTtnw7tnw7H977Bd8d+Mjl3MBaATz99UNMf+IHVKeC4lQx+RoZNLEfXYd0rLQx1wsN4dlvHyn8+rVR75Ofm+8xl+sCWS/jG1h8H8ecjFxmvPibS8kLa56NmAOn2DBnGzfePbBMY68IT3/9IBkpWRzaHIXBqMdhczD0rgGMfVYUZL1WiGBLuGrlOxwsPX6UiOQkWtaqxdi2HdDrdNwx708yrfmFMz17E+MZP282G+9/qMidcqFBQW4NoAEMOh1tageXaEw2p5Mcu51pQ4fxwuqV2BXFaxkKu+KkaVCQ2/F0i4UzWZk0qRFEts3zVnlZpwNNc8vRgoKg53h6msegytdg4I72HUr0WrxpUzvYbVYLCirgd6lXdOVvofxtmLPN4xLgmaPxZKZmERRcw+X48PsH02lge9b9sYX8XCt9b+tBu16tqjSZ/NDmqCIDrQv6j+3l8Xh+npUD6w4jSRJ2qw29Ue9WX8yaZ2PT/O3VMtjy8ffhg5VvkBCTRNKpVEI7NKJWvZLniQrVnwi2hKtSqiWPMX/+TpbNisXhwKzXM33ndqZ27Y7V6XTJl1I0jVy7nTWxMYxs5b0GVJMaQYTWCCqsOn+BQZa5v0vXIsfjUBTe37KROZGHUDWNAKOJ9nWCiUhO8ni+SdYzOLQZDQIuzrY5VZVX165i6fGjmGQZu6LQITgEsyy7VYKXKMjN8hRsSYBBkvl61C08vPQvQMOhquh1Oka2bM3QZi2KfC3FaRoUxJBmLVh/KrYwt00nSfgYDEwO61ymawulpy+ix6G3/of1m9dl8uvjKmpIbs4ei2fzgh1oGgwY15smbRu6PO5fwxdrruc+lRdms95a8CL+QX5uj29dvIsP7pmO7nzTdafd6TVwjDuWQEJMUqXVFSutBi3qVduxCWUjgi3hqvTBlk2k5OUWBkVWpxOb08nsQxGFRTYvZVMU4rK9V6a2OBxMnP8np7MyXQKtZkE1+XjYCJrUcJ+ButQ7m9azICqyMPhIz7eQnm/xeK5JlrmzYyde7ueaA/b5jm38feKYSy7WkbRUAkwmJLudfKcTnSRhlGXeGjiEDiEh3Pbn72iXpeKb9QbGtG1Hr0aN2Tr1IVZEnyDHZqN/k6a0Dy6fiuGfDR/Jt3t2MetQBBaHg4FNm/JKvxuo7SsSeivb8AeGMOfDxS6V2XWyjrY9WxJQs+rLucz531/MfHtuYS7W7PcXcveb47nzldsLz7n96ZHM/M9cbJaLr8Fg0tN5cEfGPj2SzoM7YjRdLC+iaRpRO09waFMUv771p1uhU2/io5N4pMsLfLjqzVLvvEyNS2fm23PYvTKCgFp+jHt2NMOnDL4qyksIVU80ohauSp2//ZIcu/sSm06SMMsylsvynHwNBr4ddZvXHYmf79zGt3t2ueVrhQYFsfaeqUX+QrU4HHSf8ZXbc715rHtPXuznnmzv7TUFmky8MWAQq2Kjqe3jy+SwznQ8X3l+VcwJnln5N5Ikoagqsk7HnR078UYF1fMSqh+71c5rI9/n2O5oFKeK3ijjV8OXzza/R92mJVv+rijx0Yk83Olfbkt6RrOB7w58VNhwWlEUvnjiB1bN3IjRZMBhcxA+vAuvzX4Gk4/rTmmrxcZrI/7LiX2xOOxOjwn1BrMevV6PzWpHdbrP/jbr1JQZl+WzFSUjJYuHOj5Hbmaeyw7K0Y/exKMf3Vfi6wjXPm+NqMXMlnBV8lafSidJ1PcP4Ex2No7zZQmMskyLmrXo27iJ1+stPhrlMVhKys0lISenyOT6dIsFWdKBx83broyyTKDZvcyGpmnkegi0AHLtdsa378j49u4JzMNatGLzlIdZEX2cfIeDQaHNaF27TrHjEK4dRrOR/619i6gdxzm+J5aQpnXoOaJrtdh1t23xbpcm2BeoisrWxbuZ+NJtAMiyzLPfPsJ970zi7NF46jULIaSx55/jmW/P5ejuaI+9EC/QFI073xzLrHfnYfcQbJ2OPIst3+YWyHmzePpyLDlWl3IUNouNpV//w6SXx7jlxQnC5US7HuGqNK5dB0yXJbvrdTpuaNqMBRPv4s6wTtTy8aGOry/3derKH+MmFlmOQdZ5fkzTNK+PXVDX37/Es0g6SeLW1u3cjkuS5LVPYlgx/RPr+PpyT6cuPNy9hwi0rlOSJNG+TxvGPDWCvrf2qBaBFhQUHfX4L0OS0Hn4d1UzpAadBrb3GmgBrPp1Q5GBFhTkqvUe3Q0/DzleFx4vzXt0YEOkS1mGCwwmA7EHz5T4OsL1SwRbwlXpud596RhSF5MsI5/PY2rgH8C0ocMINJl5+4Yh7HnocXY9+BivDrih2HYyE9qHYda7/vKVgGY1axXbS9EoyzzXuy8+lz3fJMv46PX4G434GgwYdTKPh/f0WurhPzcMwUevRz4fuMmShI9ez9s3DCnm3RCE6qn/2F5IHoIqnU6i/7iLOwszUrKIj05E9bDh43LFFV81+5kYdv8gmoU15dbHh2Pyda2zZzQbGHJXf6+bBy5IOZPKoc1RZKVl07BlPY/BodPuJKRx1Te1F6q/6vHxRxBKSa/TFc5sKZqGTtNIycvleHoadXy9Lxd6c3+Xbmw+c4r9iYk4VAWjLGPW6/myhDXJpnbtToifH1/s2kFKXi6d6tbnpb79aVGzFs+vWsGakzGYZJnv9u5m3pFIZt1+B41ruC49dK3fgL8m3c03e3YRlZZK+zrBPBbekxa1xC9z4epULzSERz66l+9emOly/KH/u4f6zeqSmZrFf+/8jMitx5BlHT4BZp7//jF6j+7u9Zp9b+vButlbUJyuy/YBtfwJH96FYfcNovtNnQC485XbiTuWwKYFOwpywexOwga044npU71ePz/Pyn8nfcr+tYcwnM8f63d7L/QmPfb8i7NbeqOe1uEtCvPOBKEoIkFeuCr9cSiC9zZvcCv4WdNsZueDj5W45+ClNE1jX1ICB5KSqOfnz43NW2DSl+3zyPITx3lx9UqXHZI6SaJVrdqsmCwSa4XrQ8rZNLYu2oWmafS/vSchTQoS9x8Pf5nYg6ddAieTr5EvdkyjWUfPH5oykjN5oucr5JzLxZpnw+RrxGA08NmWd2navrHX+5+OPEv9FvVo1Kro/p0f3v8lm+Zuc0nqN/mauOneG9j21y7yMi2oqkr3YV14+dcnPZaj8CY1Lp2VP68j5VQqXYaEMWB8b5ddlsLVz1uCvAi2hGrFriisPRlDfHY2YSF16dmwkcd8qAnz/mBPYoLbcT+DgVm331FtGiJPmj+HXQlxbsfNej1/33VvqRpcC8K1JPbgaZ7p93phs+kLdLKO4VMG8/yMR70+12qxsf6PLRzbHU3jtg256d4b3HpBXgm71c6Ymvd5LCVRv3ldfjk+nbS4dHwDfUsVZAFEbIzkjdHTUJwKDpsTs7+ZeqHBfL71v/gGFF8ZX7g6iN2IQrlbFXOCH/bv5ZzFwg2hzXg0vCfBvqX7BXSps1lZ3DH/D/LsDuyKgkHW0a5OML/dPh6z3vXTn1zEzJXuCma1KoqnUg4AsqQj1273+JggXA/S4s95zJtSFZWk2GSXY6ePnCX24BkatqpHq27NMfuaGPHAUEY8MLRcx2S12LxWss/JyEWn0xXOypWGqqpMu3u6S2BpzbWSEJ3Egk+Xcc+/77jSIQtXierzV0m4qny1ewfP/bOCPQnxxGZmMOvgAUbNnsk5L4U8S+K5VctJs1jIc9hxqAoWh4PDKcl8s2eX27kTO3TCR+8+/e5vNNLBS+FOVdOwOUtW/LC8jGzZ2m3XJBTsfmwrdg4K17GWXUPd6m8BGH2MdB0aBoDd5uC1Ue/zRI9X+OyR7/jXoLd4uu/r5GXlVciYAmr6U7uB+2yzpJPoPKjoNldWi42UM6luuWQA8ScSyct0H7Pd6mD9H1uufMDCVUPMbAmllm2z8eWundiUi4GLQ1XJttn4ef8+/tW3f6mvmWnN51ByklsfQZuisOBIJM/17udy/NY2bVl/KpY1sdE4VRWjLKOTJL4dPaawxEO+w8EHWzex4Egk+U4HkiShaRqNA2vw1qAhDA5tDkB8djbb4s4QYDQxKDTUbRatLO7r0o3Fx6JIyMkm3+lEliQMsswHQ4dhKKJPoyBc62rVq8ktj97E8h/WFs746A0y/kF+jH50GFBQUyti/WGXoCx6XyxP9XmdGnUCaNq+EeOeG03jNg093qO0stNzaNuzJSmn07iQYqM36DH5Gnnwg7s9PsfpcPLVMz+z6pf1SDoJg9HAA9PuYvQjwwrPMZqNHuuNQUFwKVz7RM6WUGq74uN4aOkicjwsg3WqW4/FEyeX+prn8i30+fE7j42ga5hMhPj5k5ibQ7s6wbzSbyBd6xfsAIpMSWZnfBy1fHwY1qKVS4mHexbNY09CvMdipWa9npljxrPuZAw/H9iHrNMhIaGTJGaOGVeuOV/5DgeLjx5h/emT1PcP4O6wLrSqLXYYCoKmaaz5bRMLPltGbmYefW4J567XxlKzbkF7rPEhU8lKy/H6fJ2sw2AyMG3F64QNcK9fVxrZ6Tk83PlfZKfl4DhfXkKSJNr3bcNrs5/xWvtr+pM/sOrn9dguaZdk8jXx2u/P0Pe2HoXHHun6AicPnUG7JOgy+Zp47JP7GPXwTWUau1B9iAR5odycysxg5OyZhX0AL5CA4S1a8fGwEXy9eycLjkaiaRq3tm7HU7364G8s+hPcqNkzOZqW6tLpT0ZCkiSc2sUgzEev5/exE+hSREB0LD2N2+f87jbGS9X39yfNYnEL8Gqafdj54KNXtKNREITyc0vA3W4J9J40adeQHyM/K9O9fn17DnM+XOyWHG/yMTI36QePSexWi41xwVNd+lJe0LJbM77Z83+FXyfEJPH8Df/GkmNFU1U0VaPvmB688tvT1SrPVCgbb8GW+A4LpRYaVJP2dUIwXPYLwqzXM7VrdyYvnMcP+/eQlJtLcl4evx7cz4R5f+AspmDhp8NHEmgyFeZi+er1aBIugRZAvtPJ/7ZtLvJaMefS0UtF/3gn5uZ6nEmzKwp7EuKLfK4gCBUvfFgXj8VELxd/IglLTn6Z7rVr+X6PuxD1RpmYA6c8PifnXK7nCvlAWly6y9cNWtTj91Pf8Mafz/H4Z1P4avcHvPb7syLQuk6Uy3dZkqSfJElKkSTpsJfHJUmSpkuSFC1J0kFJkrqVx32FqjPjltvoXr8hJlnGz2AgwGjivSE3YVOcHD+X5rJ0Z1cUzmRnseFUbJHXbF27Dhvvf4jXBtzAw93CefOGIW4B3QVHUlO9XsehKCTm5mBVriwZXtFU9ibGFxscCoJQsR795D78a/kXm9dUsJxYthTk4Ea1PB532hVq1vXc+7BWvSCPY5MkaNOzldtxWS/Tc0RXRjww1GtNMOHaVF4J8r8AXwIzvTw+Amh1/n+9gG/O/1e4StXy8WX2uAkk5+aSabPSLKgmRlnm2z27sHtYurM4HBxMTuLG5i2LvG6gycTksM5AQZD2zsb1eGrw3MhLY+iM/HzGzZtNal7eFQdLVqeTb3bv4ucD+/jltnF0LKY3oSBcr/KyLaydtZnoAydp0SWUG+8eiF+gb7ldv27TYH4++jkrf1xH1M4T5GVZiNx2zGXZzmAyMGhSXwzGsm1s8VYJvmb9IK+PyXqZhz68m6+e+RmbpWC5U5IKcrGmvndnmcYjXFvKJdjSNG2TJEmhRZxyGzBTK0gQ2yFJUpAkSfU1TUssj/sLVaeuv79Lr79GgYGY9HqcDtct3b4GAw0DPX869MYoy9zXuQu/Rux3qRRv1ut5tldfj8+ZtmUj8dnZHpcHjbKMU1FRKT5P0eJ0YHE6uP+vBex4QORvCcLlkk+n8mSvV7HmWbHm2TD7mvjt7Xl8sfN96jcrvw8ogbUCmPDibQAoisKnD3/Huj+2FLbf6TSwHU99+WCZ7qFpGku/XeXxsfT4jCKfO+KBoQSF1GDWu/NJOZNG216tmPLuJJp3aurxfFVVSTmThm+gT7kUYhWuDpVV+qEhcPaSr+POHxPB1jXmpuYteWfjevKdzsIyDhIFgc7oVm1Kfb1/9emPTpL45cB+HKpCoMnMq/0HMrR5C4/nr4w54THQkiWJQ48+xdnsLEbN/s2lbMWFMXoKwexOhR1xZ+nfxPMvTkG4Xn351I9kp2UXljSwWmzYrXa+eOJH3l/+WoXcU5ZlXvjxce5/dxJnjsRRr1kIDVrUK/N1rRYblmzPOV8Om4OEmKQi79PnlnD63OKWE+1m21+7+fSR78jPtaIqCt1u7MQrvz1d6mr0wtWn2tXZkiTpYeBhgCZNSt9QWKhaJr2eeXfcyXOrlhOZUlAFuk3tOnwyfCR+xexG9ETW6Xih7wCe7d2PPLudAJOpsI6WJ8Wl0javWYvHe/Tkmz27cJzPKzPIMrXMPiTkethiLiEqvQuCB3v+OeBWO0pVNfaujkDTNI9ttspLnQa1qNPAc47VlTD5GNHpJI+1sCRJKtGOyOKc2BfL+5M/L1xuBNi7+iBvjfk/Pt7wnzJfX6jeKivYigcuzQZsdP6YG03TZgAzoKD0Q8UPTShvTYOCWDjhLjKtQM3twgAAIABJREFU+Wga1PQpe98vvU5HDbO52PNGtWrDgqhIl9ktWZLo3yS0sIjoUz37cFPzlqw4cRwAh6rw0/59Hq/nUBR6N2pU5vELwrVG1ss4He75lJ5a8FRHToeTtb9vZs2sTRhNBpp1aupx16HZ30TTDmX/HTDv46XYra4f3Jx2J8d2RxMfnUjDltWjn6tQMSor2FoCPClJ0p8UJMZniXyta1+QuXyaq57NymLmwf3EnDtHeIOG3BXWyeu1X+43kL2JCSTkZGN1OjHrDQSaTEwb6lo0sG2dYNrWCcbqdBD+/TfYVQ9/NCSJF/sOKLfXIQjXksGT+rHm98047ReX5A1GPYMm9q3QWa3yoKoqr416n6jtxwtnrUy+Row+Buz5F/NNZYPMG38+j1wO3R4SY5NdCppeoDfqSYs7J4Kta1y5BFuSJP0BDALqSJIUB7wFGAA0TfsWWA6MBKIBCzClPO4rXPv2JsZz76IFOFUFh6qyI/4sPx/Yx5JJd1M/wD25tIbZzPK77mXj6VMcTUslNKgmNzZvgdHLL8vYjAwkL4uP9fwDmNq1e7m+nmudQ1FYczKGI6kpNKkRxKhWbVyq+gvXjkc/uY/oiFPEHU9EU1V0Oh0NWtbj8c+q/6/33SsPELXjhMvyoM1ix2g2cP97k4iNOE290GBGPXxTueSEAXQZ3IGYAyfdank5bA6adXJPmbHl29g4dzsxEado1rEJN0zsi49f8bP7QvVUXrsRi9zjen4X4hPlcS/h+qFpGi+t/od858VPmlanE5vTybQtG5k+YrTH58k6HUOaNWdIs+bF3qOOry9OD7NaAM2Cgq5s4NepbJuVcXP/ICk3hzyHA1+DgQ+2bGL+hDtpFuTe3LeiHUpJZvrO7RxLT6V1rTo83asPneqWzx9OAfxq+PH17g85vOUop4/E0aRdQ8IGtKv2s1oAe1ZFYM21uh2XJInAmv68Oef5cr/n2GdGseKHteQqeSjOgjQHWa8jqG4QS75ayS2PDadGnYKSNmkJ53iq16vkZlmw5lox+5n46fXZfLlzGiFNgst9bELFE/vZhWor02olLjvL7bgGLDtxjFUxJ8p8jxA/f3o3auI28+Wj1/NQ9x5eniV48vH2rZzJyiLvfNkPi8NBls3KS6tXVvpYdsXHMXH+n6w7GUNcdjbrT8UyacEcdsSdLf7JQolJkkTYgHaMfuQmOg1sf1UEWgBB/8/eWYdHcW5x+J2Z1bgQPLi7u3uRom0ppS20WJ3S3npvheqtO9BSoKVQnOIW3N0CCU4EiBBP1mfuH4GUZXfjSGDe5+nzdGfmm/mG3eycPd85v18pX7Q611yDqBHxDfJxM6LoBJYJ4JeDX9DryS74h/ghCAKKrBB/MYG5ny7h6XovEx+dCMDPL/1O0pWUnIDQnGkhNTGd75799ZbMTeXWowZbKnctek3uideJa1eRZMoq8nW+69OPdhUr5ajhe2t1vNOpKx0rVSnyue8nVp6KxHZTllBWFI7EXSHzNnd0frhlI2a7PUfOQyE7K/pW2DoeWzyfBj9/T4cZ05h1+CDF5Q8r38U+syrO9HyiM6LG9fEniiJt8iHhUFhCKgbz8rQJePkaUBQlp/vRaraRnpzBzHf/BmD3ioPIDmcJG9khs3/tkWL7vKrcXu466QeV+xtFUbDLMlpJwkurpUuVqoSdO4s7LXgBWHv2DI82aFSka/rp9fw+cAgJWZkkmUxU8Q/IM9BTcSW3rMbtznhEXE10u/1CagoXUlMAyEq38b+d27iUkc6bHToX6jrJJhNf79rByjORpJjNlDJ68ULrNoxs2KTEZHnuFZLjUji5+zQBpf2o26ZWrv/+pSuF8M7fk/h05HcoioIiK+iMWh57ayirfwujWqPKNOqc/0ydxWQhPSmDwLIBeRbTpySkkRib5LJddsjsWZndFS1K7vMg+fGJVLk7UZ8oKncFNoeDL3dtZ/bRI5jtNqoFBvFhl+78r0cfes+eSXxWpssYh6JgdmMNVFhCvLwJ8VLFBQvLoDp1+fPoYaw3+GJKgkCLchVyLZK/mpXFpgvnEASBrlWqEmQsuN2LxW7nYmoKIV7eBBqN+OsNJJvzNiY22e38ceQQz7dsg69eX6Brhp07y7Orljtl8xJNWXy6bQt7Y2MRgPK+foxo2IhK/mr9361CURR+f3sOi75diVanQZEVAssG8L/1/6VMZc/1TW36N+epT0bw62uzUWSZtMQMpr72J6IootFpqFS3Al+GvYfRx3M3st1m55dJM1nz+6Zs8WajjrGfj+SBp7t7HGPw0uEpOZV2NZ25ny2hyyPtCLup01OjlWg/uLUaxJdQhLs5JdmiRQtl//79d3oaKreB19avYcXpSKfgyajRMH/YcOyKwvCFfzuZWwPoJYnVjz1JlTtQfK3iSobVyqOL5nEhJRmL3Y5eo8FHp2PhwyOo4Ovey3JB+DHe2bQBQRCQBAFZUfi0ey8G1amHyWZl6oF97IyOolpgEE82bkrdkNJA9gM2Oi2NlacimBt+lMvp6WglCUVR6FW9BtUDgph6cJ+TzZMnlwAfnY65Qx6mfgE8MNPMZlr99gvWPPw3taKIRhSZ0m8gHStXyff5VfLP9iV7+PyJH5w6C0VRoEqDSkw9/KXHcfvWHuaDoV86iYzeiFavpd+4Hjz33VNO28N3RvLPj6tJjkvFbrNz6sA5J69GvZeet+dOzFVR/r3B/2Pv6kNOwdS/43V8sOR1prwyk7gLCdhtdjQ6DcHlg/h22+ScInqVuxNBEA4oiuLy5qvBlsodJ9lkot3vU12CKQHoU6MmP/V9kHc3bWDxyROY7TYEQUAvSTzdtAWT2ra/M5NWcYusKOyIusjJxAQq+vm7ld04dTWROceOEHk1kT2xMS7n0Iki0wcM4anli53EabWiyP969iHQYOSNsLVcycjwOI/qgYG0Kl+RxREn0YgCdlmhjI8P0akpLgGXXpLY8dS4AmXUxixbwsYL5/J9fCkvL3Y/PSFX9wOVwvFqt/c5sjncZbveqGPKoS88mkh7GncjvkE+LE6ckfN6xdR1THllFlaT1WN2CqBWi+r8tPczj/vTkzN4qf3bREdcctknCAJ9nu7GxCnjOBR2jIvhMYTWKU+zno2KRe9L5dbiKdhSlxFV7gh2WUYSBARBIDY9Da0kuQRbCnDq6lUAPuzSnf41a7PsVAQaUWRwnXo0KauKAN5tiIJAx8pVPGZxlkdG8HrYWqwOh8eCcpss8+SyRS77bbLM6+vXIAiCy2flZs4mJ3MxJYW/hjxMoNFIWR9fziUnMXzRPKfsqUGj4YEatQhPiGf20SOkWswEGoxEXk3ALssMqFWHCc1b4avXk5CVSbrFgl7SsDXqQoH+XbJsNs4lJ1EjKLhA41TyJjPVtcQAspXsMz34HQIkRLuv67sRxw0K+aYME1MmzcJiyrvZIz4qAVmW2bpgF6umh+GwOej5eGd6PN4JjVaDb6APoz4czhejfsJ8U2ZNURTMmRZEUaR5z8Y079k4z+up3P2owZbKbWV71EU+2LKRc8lJeOt0PNm4KaObNMvxKbwRSRBoeG1pRxAEWlcMpXXFUJfjVO4MiVlZfLlzG+vPnUErSTxcryHPtWztsbnAYrfz5sZ1edbZKeCx48oqy3n6X17Hrig8t2o5e8c+A0CVgEBebt2OWUcOEZeZgVaSGF6/ET5aLRNW/OO05Hid6YcOsObMKYKNXhyNj0MjiohkL3kWpFrQIcsYVXHXW0KHIa2JOhmL1Wxz2i6IAtXciIVep1Hnely5kODS9XcdSSPRfnCrnNen9p9Do9PkGWwJAtRuVZMvn/qZbYt25yxvntp/lk1/7+DTNW8jiiJNujVAdrMMbfDW0/mhtrleQ6XkoUo/qNw2jsRdYfyKpZxNTkIhu8bn90MH+G7PLkY0bIzxpoe0TtLwbMvWd2ayKrmSZbMx6O/ZLI44QbLZTHxmJr8e3MfY5UvdHn8uOYkH/ppFls3mdn9BKEjhQ6Ipi6SsLL7fs5PWv/3Cj/t2k2Q20ah0GbaNGsMzLVox7dB+t4EWgNXh4HxKCvsvX8LqcJBls5Fhs+aZWbsZo0bL+rNnSLMU3dBYxZlBL/QlJLQUeq9so3tREtEbdbw8dTxanecA97F3hmH0Nbjt/DP4GAiuEMjY/z2es80n0BuHPff3XRCya7Z6Pt6JrQt3OdWRmTMtnNh9ioMbjgHgF+TLM9+MyjbBvjYHg7eeJl0b0PZB51WoxNirvD/0Cx4wPEpf4wg+e+IH0q6m5/Evo3I3oWa2VG4bP+zZ5ZLVMNntzA8/xq6nJ1DW24fphw6QYjHTuExZ3unUVV12uUv551qQZb/hl7nF4eDA5ViOx8fR4IZic5PNxkML/s5Xd+CtYMGJcKYe2IfF4cgJko4nxDNx7SoebdAIrSg5dVDeClIsZj7bvoWf9u1m6fCRbhsGTh88x8a521Fkhc4Pt6Nu65q3dE73Ct5+Xvxy8H+sm7WZvasOUqpCMAOf60O1RpVzHVe2Sml+OfA/Zk9eyNHNJwgs60+NptWQtBK1mlej07A26I3/dqhWa1SZkIrBxJy+7ORxqNVrKF0phIyUTGq3rMFTHz/K0S0nkB2uPwvMGWYObjhKi17ZS4P9x/eifrvarJmxiax0Ex0GtaJ578bM+3wpi75dSUZyJtWbVCbuYiLpSRk5Wbgt83Zwav9Zfj32lVrHVUJQgy2V28aZpKtusxIaUSI+M4OxzVsWu2q7yWZjb2wMoijQqnxFVT+rmDh45bKTjdKNhCfEOwVbC04cx+zh2FuNJAisPhPpkrmyyTL7LsUyvH7RNNoKglWWSU5I5/nBH6M7mYxvkDfDXh5A79FdmT15IfM+X4rVYgMFVkxdz4BnejH+iydu2/xKMkZvAwOf7cPAZ/sUaFy5qmX4z+/5c5ITBIGPV73FG70mk3QlBVESsVvtjJo8nIdeedDp2PPHotBoJWwW58+9Vq8loLRzoF21YWWe+XpUzuufJ85g1W9hOV2Sp/a7NmLYbQ4SY69yYN1RWj3QNF/zv5HMtCySLidTulIpp4BS5dahPnlUioU9MdF8s3sn51KSqBVUipfbtqN5uQpOx9QNCSE6LdUl4LLLskdpgKKw4dwZJq5dld0BpmSn+H/pN5B2oZ7rOFTyR/XAIPRumhpEQSDUzx+A6NRUXli9nPCEeBx3oOtZAB5r2JjNFy+43a8RRaoHBeGl1ZJpu10K9wppm88hypB0OZmfXvqd8F2RbJyz3Uk+wJJlYfnPa+kxshPVG1e5TXNTyY3ES0l8M24qcRcTAIFSFYN4bdbzNOpYz+XY9oNa8uML0122O+wOFny5nE1zdzD8jcEutVkZKZmsnLbepf7MHTaLjaiTMQUKtuw2Oz+9+DtrZ21Go5GQZYVHXh/IyHeGqfpdtxi1ZkulyGy6cI7Ryxaz91IMiVlZ7IyJ4vElC9kVHeV03Iut2mK4KbNk1GgY1aQp3jpdsc7pSkY6L65ZmV1jY7WSYbOSbrUydvlS0iyuBrQqBeOheg3Q3rR8oREEynj70KZiKHZZZtiCORyLvzOBFpBju9S5chU0outXnVYUqREUzJ+Dh1HexxdvrRbDLV6SkfUSivHfvwFzpoU10zc6BVrXsVps7Fy275bORyV/yLLMK53/y5HN4TjsMg67g7gLCbw74DNSElz9W40+Rj5f9y5BZQMw+howeGdnjxRFISU+lTOHzvPF6J9Y8NUyp3FXLsSjcePZ6A6tXkuluhULdB/T35rD+j+3YDPbMGWYsWRZmP/5P6z5fWOBzqNScNRgS6XITN66yaUWy2y38/G2zU7b6oaU5r3O3XPUxAWgRbkKTGpT/FpZK05FupUWEIDVZ4puYH2/E+zlxbyhj1AvJASNKKIVRdpXqszcYY9wPjmZ3rNnkpCVhVKgcvbixaHIxKal8VzL1vjrDTl6XwLZQf6HXXqgEUVqBZdi2+ixzB78EKWK6CBg1GjQugnsriMoCqI5f/VhiqwQufdMkeZzP6IoCif3nCbsr22cPx6V94B8cCjsGMnxqS6di3abg3WzNrsdU7tlDebGTOWLDe/RqFM9REl0qvWyZFn44/35WEz/FtGXqRziVuj0ZjRaieDyQTTvlf9lcIfdwYpf1mHJcg7szVkW5n66JN/nUSkc6jKiSpGQFYULKSlu951Kuur0+mzSVT7YsjGn1kcB9l2O5b+bw5jUpj0LTx4nJi2NluUr8kCNmkWqr0q1mN3KSdhkBxm32RT5XqVuSGlWPPoEaRYLGlHEqNHw1sb1LDxx/I5ls27EoSh46bSEeHmz+rEnmbp/D6vPnkYnSgypW4/eNf4tQBcEgbI+viS4sYXKDwICnSpXZnj9hryyfo2TGGsONhnfnfEIbgqnPXFo43E2/LmFiydj2PDnVmRZpuvwDjz+32F4+6vWUjeTnpzB670mEx0RiyAKyA6ZRp3q8f6S19DpCy+9EedBIsJqshJz6rLHcaIoUrtlDWJOXXI7XhAFLp2No2qD7NIG30Afej7RmQ2ztzoFRTqjjrqta3J8ewSiJNBxaBue/XZ0gYrjLSYrNg+BXEq8a3ZOpXhRgy2VAqMoCoevXOZw3BXKePvgr9eT6qalPcjo7Ck25cBerA7XDNiik+Esj4zAochYHA7+iTzJz/v3sOihRwvsV3edTpWr8Puhgy5F3JIo0rFS7l1KKgXD79p7tOTkCZZFnrwrAi2AxmXK5nhdJmRmMP9EODbZgdluZ8qBffwTGcGih0fkzB8KJitxIwoKY5q2oG1oJUyrlrs9RjTbCVodXaDzWk1Wvp0wDVlRsF2r41nywyp2LN3LjIjv0GjVr/Ab+e6ZaZw/FuWUHTqyOZzZHy7gqY9HFPq8NZpVBTcKbwZvPfXa1s5zfJkqpbl0Ns5lu93qIKiss2/mCz+OwT/En6U/rCIrzUTVhpV47vunaNy5PoqiFLq2yuhjILhcIPFuxFxrtaxeqHOq5B91GVGlQFgdDkb9s4iRSxby2fYtvL5hDVaHA4PkWov1bAtnjazwhAS3D2KHLJNlt+UUW2fZbESlpjD1wN5Cz7NFuQp0q1rVyQDZS6NlaJ361AouVejz3i/sjY3hgb9m0eCX7+n2x3TWnDmV55g/jh7yqFdVFPx1BQ+4K/r68cMD/XNeT1q3mnSrJWe5O8tmIzo1hR/27so5poyPD9UCAvMtmnojArArJpqRixd4PEb21RH/RE3sflpkUch3YGcxWXMCLQDZLnPlfDzPt34Tu634/71LKnabnR1L9rosw1nNNlb9FuZxXHpyBuE7I0mMvep2vyzLlK9elvrtaqE3/ltbqtFKBIT403V4uzzn9uibg3N0wK6jM2hpN7CFi9ehpJEYPXk4/6T8wVr7PKYd+YrGnesDFKmIXRAEnvv+Kad7EAQBg5eecTfoiancGtSfRSoF4o8jh9h3KTbnoXV9uSTY6IVw7XkgCALjm7fk8UZNnMbWCS7F6auJLgGXu4eO1eFg+alIXm3XsVDzFASB7/r0Z/25MyyJOIFGEBlWrwGdVTPgPFkQfpzXw9bmvL6QksLzq1fwVofOPNW0ucdxxSFYejNV/AOIy/TsgSgJAnWCQyjn68v5lGRKeXnxWMPG9KtZO+fBlJiVxfmUZJexVllmxakI3u7YJWfbd33688iiv7FdEzC9+bOpFUVkRXH5DOslDWvPnibKjfeiAOg1GoIMRpIba0hsFII+0ULZr49hSS98s8b541Esn7KOwS/0LfBYi8nC1gW7OXXwHJVql6fbYx3x9su/N+TdiMPuQJY9OA+YXUsHFEVh2mt/suynNWj1WqwWGy17N+HNv17C4KVHURT++Wk1s96bjznTgs6oo0GHOlw8GYPd6qDj0NY8+cEj+ZJOaNqtIROnjueXiTOwmKzIDoVOw9oyceq4XMeJudT/FYZ2A1vy6Zp3mD15AbGnr1CzWTWeeP8hqjZUs/23GtWIWqVA9Pjzd84luz649JLEmseeRCNJlDJ6oZUk1p87w7LICHSSxMP1GlDKy5tB8/7yqM90MzUCg1j3+OjivgWVXLA5HNT/5XsnsdLr6CWJzU8+zeYL57HKMt2qVsuR7LDLMo8tms++y7FFnoNWFPmwa3daVwhlw7mzfLFzOzbZtf5uSJ16fN6jN1IeD6QUs4nWv01xW0dVwdePbaPHOm3LstlYe+Y0lzLSKePtTdj5s+yNjSHY6MXIho35bMc2zDcthxskCRk8iqM+06IVr7btwLnkJMx2O3VKhRAVHs1nj//A+WMXczU1zo2qDSsx7chXBRqTHJ/K863fIO1qBuYMMwZvPTqDlu92fkLFmiXbb/S5Vm9wav9Zp22iJNJhSGvenTfJafuyX9by63/+dPIm1Bm0dBnenv/8/hyrfw/jpxdn5OhdARi89Dz96QgGFSLABXA4HFyNTcIn0AcvX2PeA1RKHKoRtUqx4PDwy1EQBCRRpIKvH4qi8OyqZWyLupiT7Vh39jRPNm7Kn4OHMW75UpLyUBM3ajSMaKgasN5ujsZfweGuuJvsQKLzrOlIQvYS2CfbNjOxTTvGN2/Fu5s2cCTOc6FwQbDLMoNq10Ov0RBgMOBQXOejEyXqly6TZ6AFEGAw0qhMWQ5duezUoaqXJB6q18DleC+tlsF1/9VOGnbTMdWDg3lu1fKcc8mKQoDBwKV0z/Ypvx86yNC69al+gyNC1YaVmXr4S/r7PObSIZZfki4nY7PacrWluZlfX/uTq7HJOdYz5kwLliwrX4/5ha+3fFioedwtvPLbM7zc6V3sVjtWsw29lw6jt4HxX7qKwy78armLCbTVbGPT3O289PNY/vxgoVOgBdmde7M/WlToYEuSJEpXCinUWJWSjVqzpVIgHqxdB72bDpgy3j45WY4d0VFOgRZk2/LMOHwQSRDI8CAgqRVFDBoNBo2GDpWqMPKmZUiVW8v5lGSmHzzgsZZIITvgMtntmO12LA4H3+3Zxd6YaBafDMfqIUgrKF5abU4nakxaqlsJD5vs4MFadfJ9zm969yXEyxtvrRa9JOGl0dK0bHnGF8KxoH1oZfaNeYZp/QcxqlFTHLKca6AF2TIUq067r3vzDym8oG9GShYfDnPNbCmK4tHMe8fSvS4ef4qiEL4z0u1yW0miWqPKzIj4jkffHEynh9oy6sPhzIj8ntKhrnWa6cnul6cVJTsATbqc5HZ/akKaWwNpFZXcUDNbKgAsizzJ93t3cSU9g9qlSvFGh060LO8qmDe+eSs2nj/HhZRkMm02DBoNGkHkuz79cmpkNp4/67Z+RxAElkScRC+596KrGhDIk02a0aRMWeqGlC62e1MUhT2xMSw/FYFGFBlUuy5Ny5UvtvPfC+yNjWH0P4sK7BFosdt5ae1K91IHheTGOSw/Fen2GI0oYnHkvzi8op8/W0eNYfOF88Smp9GwTBmalS1f6IJjrSTRukJFXl67Ml+m1LKiuF0KvXT2CuaMwptTO+wODoUd4+KJaCrXCyUzNZOfXprB5nk7cNhlmnRtwIs/j6FCjX+XByWNe7kAQRQQxJKvIh5UNpCR7z6U53GNOtVj17L9LkFpULkAfIN8qFCrPFEnYlzGla1authrqVTufdRgq4STajaz7FQE8ZkZNC9XgU6Vq2Tb0xSA2UcP8+n2LTmdZIeuXObJpYv4Y9AwWpR3ttzx0mpZ8shjbDx/lv2XYqng68fAOnUJMBhJzMrix727WBJxwu11JEGgvK+v2wezJAg0KVuOQbXrsvbsGbZGXaBJmXK0qlCxyDYS727awJKIk5jtNgRBYOGJ4zzdtAWT2ha/mGpJ5c2wdYXqJFTILkAvTvLjJlDQzzhkB0g9q9cozJTckmmzcdWUP3NtnSTRu7qzsbSiKLzeazJpV3PPiuWFqJE4dzSK0DoVmNjxXWIiL2G3ZQd2hzYe48W2bzHz1A/4BvoA0GNkJ1ZMXYfN8u/7LWkkWvZuUqDlyJLOmM8e4/Cm41hMVhw2B4IooDNomfjLuOwmny+e4MNhX2K5Qd1fb9S57dw7ffAcZ49cpEKNsjToUCdf31nHd0Tw6+uzOXf0IiEVghj57jC6jShcQ5DK3Y8abJVgjsRd4fHFC7ArMma7HS+tlrqlQpg9+KF8C4I6ZJmvdm13edCa7Xa+2LmNecOGu4zRiCK9qtek1w0PjzSLmQFz/yDJZMo1y/FYw8asO3uGY/FXnI7TShLdq1Wn/YxpWB0OrHY7Oo2GhqXLMHPg0EILnB65cpklESdy7k9RFEx2O78e3M+QuvWoEhBYqPPeK1jsdjKsFqLTCi9qWJy6WgZJ42QOPaRuPX7cu9sle1TRz5/yt8BPsyAYNRoMkoYM2XXpTSA7IFQU0GkkRjVuSr2bsrURe8+QmpBW5HkosozNYmVEpQlcvZR80z4Fi8nKupmbGDKxP4c3HcfgrSeobCCpiWk47DIanURgaX9enja+yHMpSYTWrsC0I18x/4t/CN8ZSWjt8jzy2iBqNK0KQKsHmvLB0tf4/a05RJ+6TPlqZRj90XBa9/u3I9dqtvJ2/085ufs0gnBNHLdqab7c+D5+wb4er716ehjfjJ+aoygfHXmJr8dNJSMlkwcLaKatUjJQg60SiqIoPL9quVP9U5bNRnhCPDOPHMp3LUqK2ewxo3Hqqqv4nSfmHDtKqtniNtDy0mqRBJFfBwzCW6fjtwcH8cq61eyIjkIUBPz1ej7t3pvPd2wl1WzOqRmy22wcibvCjMMHmdCiVb7nciNh58+6WAlBtgjlpgvnGd3k3gy2TibE89O+PURcTaReqRCea9WG2jfoi11ISebNsHXsvxQLCjjuoK0OZAfwkiDSoXJlJrb5V7doTNMWbLpwnojEBEw2G0aNFq0kOmlo3SkkUeTpps2ZdnCf09+QUaPhxVZtMNkdOBSZPtVrUr90GZfx6UkZRV62kzQSFWqU5acXZ5CV7j5kzm3kAAAgAElEQVTLZsmyErHvDK/3nszJXacxZ5nRGXQIwIPP9aZZ90Y079WoQGrk9wplKofwwo9jPO5v3rMxzXt6btT54/35nNgZ6WQcHR0RyzfjpvLeolfdjoncf9Yp0LqOJcvCjHf+pt/4nvfle3GvowZbJZTzKckkmVyXb8x2O4tPhuc72PLT69EIIlZc60kq+Pnnez67YqJc2uEBDBoNY5u2YEKLVjnZqQCDkekPDiHVbCbDZqWcjy9xGRlcSEl2eeSb7XYWnDhe6GDLqNGiEUWXIFASBBdT7HuFfZdieHJpdv1Vtp1SMuvPneGDLt0ZWLsuNllm6Py5pFrMbovPC0KtoGCi01ILtASplyRkRUFWFERBoFe1GvStWZu6ISEumUa9RsP8YcPZEX2RI1euUMbHh741ahW7cXlheaF1W2yyzIzDB5EVBb1GYlKb9jzRuGmeY+u2qenRPiW/tB/UkupNq/LH+/NzPW7L/F0IgpBjGXPd+HrL/J2M/+KJIi/V36+smbHJKdCCbL/E3Sv2e+wSnfHOXJdA6zpWs5W0qxkEls7/d6/FZOHiiRgCQvzUTse7mHvzaXMfIAmix1xEQepZtJLEU02bM/3QfqcHpkGj4eXWeSsjXyfUzx9JEFwFSxU4l5LM8EXzqBEYxJjmLXMyLP4GA/4GAwByLpmVomjB9a9Vhx/27saGc7ClAL2LsX7nbuL9zRudsnmyomBxOHhr43o+2rqZPjVqYrbbihxoeWu1fNenH1/s3M6O6IseC8UFsmuWNKJIoNHI/GHDCfHyJiErE3+9AaM29zohURDoWKkKHStVKdJ8bwWiIPBquw682LotqWYzgUYjmnwWT/sG+jDqw+HZZsRZBSuS13np+HrzB9RuUYMJzf6Dw5Z7kb4iK25NwTOSs7gQHp3jzadSMGwW95qBsqy49UIEOHPovMfzCaKAT0D+xWWXT1nLtNdmI4oCdqud2q1q8v6iV3NdwlS5M6gtFSWUSv7+lPNx/YMyajQ8Ur9hgc41sU07xjVriY9Wh0YUCfHy5pNuPeleLf9+WaOaNEN3U+pbEgRssoM1Z05xJO4KSyNPMmTeX+yKjnIZX97HN0c64kb0ksSgOvVctueXUH9/Jnftjl6S8NZq8dZqMWg0fNu7L0HGkq2Y7Q5FUYhITHC7T1YUMmxWpxq2ohBk9KJaYBC/DhjE9AcHuw0yNIJAv5q1ebNDZ75/oD+bnniasj6+SKJIWR/fPAOtkoJOkgjx9s53oHWdh199kI+Wv0HjLvXzvaQoaURe+fUZareoQUZKJuePuf495Z/Ce+2pQJv+zREl1/e8ZvNqHpXly1bx3Gk98Lk++W5SOBh2jKmv/ok5w0xWmgmr2caJXZG81fdjj0vKKncOVUG+BBORmMCIRfOxyQ4sDgc6UaJFhQr82n8Q2kKs+TtkGZPdjrdWW6gv4M0XzvPGhrWkWy04FAVvrY4Us8nl93Rl/wA2PvGUyzVOJsQzfNF87HK2lpOXVkuNoGDmDnm4yA/lFLOJLRcvIAkCnStXLbTBdUmg8ZQfSLd61ku6XrxdHIXt45u35PX2nQCYefggX+zclhPIaUURP72eVSOeJMTbu8jXupdRFIW3HviYY9tOOnW/eeKxd4Yy6sPhhO+KZGL7dwp93cAy/sy79KsacBWSxEtJPNfyDbJSszBnZVv6aHUavtn6oUcLnL2rD/HhQ1+6CNnWbVOTb7d/lG9Zibf6fcy+1Yfd7tPqNfQe1ZXnvn9KNSu/zXhSkFeDrRKOyWZj7dkz2dIP5csXSTuoOJAVhZi0VLy1Orr9Md3tQ18jiuwf+yx+bgKedIuFFacjuZyeRtNy5elcuWqh2vzvZ77etYPfDu132xhwHZ0kYXMUvSzeW6vl6IQXcj5zWy9eYNrBfcRnZtCxUhUmNG+lBlr5xGa1sejrFayeHkZibJJLLdB1jD4GXvx5LM16NGRC0/+QHFf4TlKDt56nPhmBJdNCs56NqNU8/9lslWyy0k2s/2MzEXvOULl+KH2e6kpAiD/JcSmc2n+WoHKB1Gha1el7OWzONqa++gdpV9PRaCUefLYPT386okCF8eMav5JrVlPvpaPf2B48841qeXY7UYMtFbecTbrK7tgYAvQGulerhkFTfMs6HWZMc6usrZckjkx4wWXZUaV4sMsy728OY+GJ425V3Q0aDeOatSQ8IY6w8+eKfL1Tz79c4OUzldxJjk/l1a7vERUR6+TULkoiAaX9+ePMD7zT/zOObAn3WGwNIIqCR3Pm60haCWQFjV5LhyGteX3W82qmqwhEn7rE12N+4cTuU+gMOlAUylUrw2dr3yGo7L8NILIsk5GSiZevsVDZp19fn83i71Ziz6XJQu+lY0nSzPtKP+1O4ynYUr8h71MUReHtjevoP3c2H2/bzBth62gzfSrH4uOK7RpPNWmO8aaOP70kMaBWHTXQuoVoRJGPuvVk95gJPFq/oVPXpU6SCPHypn+t2oU2P76R0l4Fr1NSyZvA0v78dvwb/rvgFao1rowoiQiigMFLj9HHwNxPFnN8R0SugVb1JlUoVTEYSSuh1Xt+2DpsDhwOGUuWhR1L9rBj6d5bcUv3BUt+WMXYhpM4vj0C2S5jzjBjzrQQdTKGD26yVRJFEb8g30Iv8w17ZQC+gd5otJ6/Sx12GVO6uVDnVyle1G/J+5Q1Z0/zT0QEFke2z12mzUqaxcLY5UuwORxsvnCeKfv3sur0qQJbuFxnVJNmDK1bH70k4avToZck2odW5oMu3Yv5blTcEWAw8nH3Xnzfpx9tK4ZSt1QIz7RoxcfdejBk3hw2X/TcFXUjueU48iNxcCe5mJLCvONHWX3mFJZiaAq4nQiCQMchbZh66Es6Dm2DVq8lK91E7OnLzP9qWa4ZDYCzhy8QH5WYHUzZ8/c3bM60sHbmpuKY/n1HfHQiv70+221nqMMuc/rgORJirhbb9QJL+9N3XE+PxvEAfkE++Ab5FNs1VQqPWjl3n/L38aNk2V1rQjIsFnrNnkFiVhZmux2DRoOf3sDChx6lnG/B2olFQeDDrj14sXU7ziZdpaKfPxX87qzq9/1Ij2o16FGtBsfi43h9/Rq+27MrzzEiAo3LliXE25t+NWvzxoa1Lh2MgQYDY5u5ZMvvChRF4aNtm5lz7AiiICAKIpIo8MegYTQqU/ZOT69AnD8exa7l+3O0sQBs5oIFjp5kCNxhziy8V+P9zK5l+yG35VcFvntmGlXqh/LAmO5OfpWFIXL/WRZ+tQzF4T67qffS8cy3o9Ql4bsENbN1n+JJE8kqy8Smp5Nps+FQFDJtNi5npNN55q9MWruKPbHRXC2gF14pLy9aVwxVA607wIWUZOYeP8qcY0cZsWgeEfl0BfDR6RjTtAUBegMRiQlM7tqTUl5eeF2TzqgRGMSChx4tVNfr7WDjhXPMO34MiyO7s/V65nbM8iW5ZgLuRsJ3ROb6DC/26+2M5OSe0zmvzx65wB/vz2P25AXZNWT3CQkxVzlz6DxWD1paNyOKQq5ZYJvFxp6VB1n0zQrGN3mVPSsPFGl+a2dsxOamiUIQBCrXq8jkZW/Q5WHV//VuQc1s3acMrlOPY3FXXLIVdg8PIruisDTyJP9EnkQrSXQIrczXvfu67ShUufMoisIHWzYyL/w4opD9vubmWXkjekkiwGDgPxvWkGWzoRFFNKLIlz37UD0oGL0k3fWekn8fP+Y2c2uy2Tkcd5nm5Sq4GXV3ElQuwK2WEwLcCpclm9nGN+OmMO3IV/z+9hwWf7sSm9WOIAjM/Wwpoz96lGEv33m7pFtF2tV0Jj/8NSd2RaLRalAUhQlfP0nfMT1yHdduUCumvDIrz/PbbQ7sNgefP/EjC+J+Q9IU7geLJcvqtvnB4K1nxNtDadqtYHqLKrcWNbN1nzKkTj0alymH1zX9Kq0oYtBoXArab0YBrA4H26Mv8uLqFbdhpioFxS7LfLp9C38dO4LFYcdkt+cr0BKAir5+9K9Zh4SsTLJstpzzme12Xt+wlir+AXd9oAV4lL0QBLDks37pbqFlnyYYvNz8qFFwH4QVA1EnYwnfGcnib1diMVmRHTIOuwOrycqMt+cQH+VeOPde4P0hX3B8+0msZhtZ6SZMGWZ+njiTI5vDcx0XXC6QF34agyjlLw1pt9s5d/RioefZcWgbDN6unwu7zUHzno3cjFC5k6jB1n2KVpL4c/AwvuvTjycbN+X5Vm1Z//hoBtSqk6/uMqvDwZ7YaK5kuEo7qNw57LLMk0sX8vvhgwUSLZUEgU1PPsXW0WOJTXfvdSgIAoevXC7O6d4yBtaug9GNjImsKDQvV/4OzKjwaHVa/rf+v4huFOZvlXSPKArsXX3Qo3fjzmX3piTP5fNxRO47g/2mIndLloUFXy3Lc3yf0d0oVSE4X9eSHTJ6d0F0PmnVtyktejfB4JNteSZKInqjjvFfPo5/KbVk425DXUa8j5FEke5Vq9O96r9Chm906MTeSzFcycjIVRQTsgO2hKwsyrqxDcoLi93OT/t2My/8OFaHg57VqvOf9h0J8XIWwLyQkszFlBRqBAe7tfO5mSsZ6fy0bw/boy5S2tubcc1aFsh2qCRidTjYdOEcl9PTybRaOXzlcoF9DyVRZEnESV5q3c6jWr+iKCXGvHtg7bosiTjBkbgrZNlsaEURSRT5skefHEP0kkTipWQMPgay0pxtWHKTfigsGq1Eu0Gt0Oo0bourBUFAukUZtTtNSnwaGp3GraBsYkxSvs7h7Z+3DZggCJSuFEJo7cIH/qIo8u78SRxYd4Rti3Zj9DXSe1RXqjVyr1yvcmcped86KreUAIORtY+NYv25M/x3UxhJZs8eWw5ZpkZgUKGuM2b5EvZfuoTFkR3QLY08yfboi6wfORpvnQ6Tzcazq5axOyYGnSRidTjoVb0mX/bs47EoOy4jg35z/iDdasUuy1xMTeF4fBwvt2nPmLu0ay4/2BwOph86wNzjRzHb7fSqXoOX27QjyOjFxZQUHl74N1m27Hu2y3KhbHisDgdnkrLb0kc0aMzumBhMN9U8WR2OErGECNk/BP4YNIzNF86z8cI5goxGHqrXgEr+AXd6aoXCk+FxftF76VzsYdwhaSVqtajOy1PHkXQlhbmfLXWRjVAUhXaDWhVpPncrVRqEupVu0Og0tOjdOF/nePDZPkx5ZZaLubgggNagQ9KIePl58eE/rxe5U1AURVr2aUrLPne3BIuKuoyo4gatJNG3Zm1WjXgi1+Mm5pIFyY3j8XEcvPxvoAXZy1+pZgv/RJ4EYPLWTeyOicbisJNutWJxOFh/7gw/79vj8bxTD+wj41qgdR2T3c43u3dgshXtYXUneX71cr7fu4votFQSsjKZH36MB/+eTZbNxotrVnDVlEWmzYbF4SiS32FkYnanYreq1ahbKsRlvwL8d3NYoc9/u5FEke7VqvNxt5680rZDiQ20ABp3qe82CMgvufktipJIs56NeeqTR5k0bQL129dh0bcrEUSR0R89is6gRWfQojfq0Bm0vPjLWILLlYygu6AYvQ2M/vhRp1oojU6DT4A3QycNyNc5+o7tTqeH2qAzaDH6GNAbdQiigNaYrSYvO2Re+mkMFWsWTfrhVhAflcCHD33JAJ+RDCk1mimvzsJiUqVAigM1s1UMmGw2VpyO5ERCPLWCS/FgrTp463R3elpFJjwh3uM+URAY27xloc57wsN5TXYbh65c5pH6DVkSccJFnsJstzP72GFeatPO7fid0RfdFoJLosjppKslTl8JIPJqItuiLjot6dpkmRSTmT+PHCLyamKBlww9EZOWyrH4OBqWLsOl9DSX/XZZZs2ZU1jsvUvkUlxJxsvXyMRp4/l23FTs10RKRUnMv35WLh8RWZbpOrwdR7ecYM7Hi7N1tgSYPXkhvUd35bfjX7Nn1SEkSaT94FZOljP3IkMn9ie0dgUWfLWMpMvJtOzTlIf/8yCBpf3zNV4URV6b8Twj3xnG0a0n+OH56SiygvWGzOLHj37LjMjvCakYTEpCKse3R+Ab5EODDnXc+iParDb2rTlMclwqzXs1omzl0sV2v9fJTM3kuVZvkpaYhiwrmLMsLPt5LWcOnufLje8X+/XuN9RvzCJyJSOdwfP+It1qJctmw6jR8vWu7Sx55DEq+uXvj/Nu5Wxyksfu8spFyBJU8g9way6tlyRqBAblKlOQYfWcoSrn68upJFeFZpvD4VILVlI4Hh/n9t8q61pgWqwIAkeuXKZh6TJk2txnQmQlO9hTBT9uPz0e60SdVjVZP2sz6SmZVG9chSmTZmI1uZcAyDcK7Fi6l8Mbj/8raKpkLxeumb6RhKhEPl3zzn0ljtnqgaa0eqBoS3Plq5clfGek2/o2WZYJ+2srskPmr48WodFlS0x4+Xnxv/X/pVKdf6VJdizdy0fDv3FyDGjQoQ5fbf4AsRitstbO3Iwpw+T0WbKZbUTsPcOZQ+ep0bRqsV3rfkRdRiwik7duJjErK6dN3mS3kWw2887GDXd4ZkWnRlCw244uAXi8UZNCn7dVhYqU9fF16XoUBQG7LLPu3BlqBbl29AhAm4oVPZ53fPNWLtIVOlGiZfmKBVa/v1uo4OvnVihRJ0kYNBpsbsRpBaBtxVC0BfwilgQx59+pQ6UqboO8aoGB+NwDWduSSsWa5Rj90aO8+OMY+o3twc/7P6fzw+0oXbkUdVrXoEm3Btn2LAWMi9KTMjwqxx/deoKjW04Uw+xLLoqisPLX9Yyu8yJDQ0bz4UNfEnM67x87GcmZbq2SbBY7pw+eZ+4nS7IlJtJMmNLNJF1K4q0HPkZRFBRF4ZdJM3l/yBcu1kzHt0fw2ePfF9v9QbYivbu6PlEUiiRRoZKNGmwVkY3nz7rUyciKwvboi8W2vHOn6FipMuV8fZ0e2gJQ2tub4Q0KL5gnCgJzhz5Cx0qV0YgikiDgp9cjKwo/7NvNW2HriElLw6DR5ARkWlHCR6fjnY5dPJ63TcVQ3u/cDR+dDm+tFp0k0Ta0Ej/2LbkCjK0qVKS0tw/STYGPJAhsuXjBbdZRAXbFRGOTZZdxnhAFAV+9js6Vs3+9vtG+E356PfprSxpaUcSo0fJp915FuR2VYia0dgXemjORb7d9RJnKpYnYcxpFUajeqHKuBsU3ojVoKVvF87KUzWLnYNix4ppyieTX12fzy8uziDl1mbSrGWxfspfnW72Rp95Y0+4N3Vr4GLz1JF1OxnxTEb2iQFxUAh8/+g07lu5lxZR1Hs+9Zf4ubLlk+gtK1QaV0Bnc1+BWrHX31ZeVNNRlxCIiiSK4yS6IQu7WDSUBSRSZP2w4k7duYvWZU8iKQreq1XivczcMbjJeBaGUlxfTHxyC2W5j0YlwPtm+NadG67rxdRlvH3pVq86ppKs0LlOOUU2a5ikz8VD9hgysU48LKckEGo0ldvnwOtmB6cNMWruafZdiEASBin5+vNiyLW9tWp/neE8F86IgoBVEHIoMCJT38+WbXn3RiCKpZjMbzp+hY6UqpFnMWOwO6oaE8GTjpiW6yPxeJTMti+davUFqQlp2DVemxaUTzhN6Lz0/7P4k14e6pBEJCLl/dZvSkzP458fVTnIQyrWapnlfLOOFH572OLZK/VB6jOzIxjnbczKHBm89jbvU9+xBqcC2xXvYs/KgWwmKnMMUhfSkDILKBuKwO9i5bD9Ht56gdGgwPR7vDIpCVEQs5aqVoXRoqTzvs89TXfn78yXYLDauf21odBoq1CxH3Ta18hyvkjtqsFVE+teszZKIk9jkfwMurSjSu3rNe6LGIdBo5Oveffm6d99bcn6DRsvSyJMuMgMA6VYLjzZsTB03nXG5oZMkagXn/eVSUijt7cPsIQ9lBz7X6s+iU1PznTmVBAGtJGG7oVtRVhSsigMF0EkiiVlZjFg8n+ENGvFP5EnMdjtmux2jRouXVssXvfrkS+dM5fazYfZWTOkmp2J5m8Wer6XEHo93omqDSpgyzR6PEUSRLsPbk5Vu4u/PlrBx7nY0WokHnu7OkIn90OqK9sPrbic6IhatXusS+DhsDsJ3ROQ5fuKU8bTu25zV08Ow2+z0fLwznR9px8qpG4jYe8ZtYCzbZaxK7lkrnUGLfyk/TJlmJnX+L7GnLmPKMKPVa5j+5hwEUUBv1GGz2GjeqzFvz52I3ui52jIgxJ/vtn/EN+OmcnL3KURJpMPgVrz489h74ll2p1GDrSLyVscuHI+P42JqCnZZRiOKlPXx5YMu3e/01EoMnorhBTx7Nd6P+OkNOf8f6u9PtYBAIvLRjSgA3/Xux4J9e2j6+++M2L6L2e3b8nOv7pj0eqwOR0428c+jh53OZ7LbsNjtfLhlI1P7D7ol96VSNCL3nXGbJREEIU+F+VW/bmD1b2G5djU+//1T+AZ680zz14k9fTlH8+vPDxZwKOzYPV88HxJayq0ZtSAI+Vpekx0y9drVonW/Zk4+iL1Hd2HN72FcCI/ODo7djPPUcSqIAqMmD0fSSCz+fAlRJ2KxmrPrrW481/VarwPrjvDLpJlM/GV8rnOtXC+Ub7d/hM1qQ5REt52RKoVDrdkqIn56PcsffZyp/QfxRodO/Nz3QdaOHEWg0Xinp1ZiGFynnltlcoNG61bvSSWbKf0HUsHXL6euyhN2Wab99h18Pe4Znty8DX+TidFbtrH9/Y8ZcOAQ3PBAdhe4yShsuXihuKevUkxUqV8JvdG1aSE/6vKKrHgOtAQICQ2mVMVgdizdS9yFeCdxVYvJSvjOSCL2nin03EsCIRWDadGzsUs9k86o5eH/DPQ4TlEU5nyyiCHBoxlR6RmGhjzFwq+X5wTAeqOeb3d8zLBJA9x6XGq02Ut4N/sfevt78cpvzzDs5Wzdr7C/tucEWp6wmm2sn7XFbbG+O7Q6rRpoFTPCrfLWKg5atGih7N9/b3pwlVQSsjL5bPtW1p87g0YUGVynHq+07ZBjaH0lI50Us5nqgUEeld5vxmK388TShYQnxJNls6GXJCRB5NcBg2gbWulW3k6JR1YU9sXG8PqGtUSlpbrsL5WWxuyp06mVnAKZmS77M3U6okoF8+QzY0n087xM6K3VcuyZF4t17irFQ9rVdJ6s+QIZqZm56mkVFp1Bi3+IHwnRrrIqWr2Wcf97nEEvPFD8F76LMGWa+f7ZX9kyfxcAAaX9eOnnsbTu19zjmAVfL2PWf+c7LRMavPRM+OZJ+o3tmbNNURServ8yl85cxmH/N/A1eOuZdvQrEmOS2L1iP97+XnQb0dGlmWFc41c4fywqz3sQJZF/Uv9wb2quUmwIgnBAURQXyxI12FLJ4UpGOtFpqVQNCKKUl6u/l9luo8cfM4jLzMip/dFJEvVCSjOt30CeX7OCI1cuoxElREHggy7dGFSnXr6u7ZBltly8wK6YKEp7eTOoTj1CvEt2cfvtItlk4oe9u5h55JDLvgcOHeGLOfPwsnr+5Zup0/HaiEdY3bRxTvfijYX1OlHiofoNmNy1R/FPXqVYiIqI5dWu75Ec5xpwexTLKwCSVkIQwG51zowYfQ28NvN5OgxuXbQLlBAsJgtZ6WYCQvzyXDodWvop0hLTXbaHVAxmTtQUp21XLyfzyYhvObn7FIKY3ZDw2sznadylfp5zWvrjan57Y3aedkyV6lZgevi3eZ5PpWh4CrbUmi0VLHY7r6xbTdj5s+gkDVaHncF16jG5a4/sbstrrDgVSYrZ7PQgtjocnLqayIglC7iQkoxdlnO6Ct/euJ7K/gE0LZe32aokinSrWo1uVauhKAp7Y2OYc/wIQUYvBtSqTYBBXZZ1R3h8HI8unp9rbZsjj4eCfMP+ZuXKk2GxcDEtFUVREASBWkGleKN9p2Kbs0rxU6lOBbqN6Mji71a6Lh8Ww+9ph83hstQliAJGbwOt+zUr+gVKCHqjPtci8+vIsuw20AJIupLisi24XCBfbfqAlIRUrCYrIaGl8l0HN2BCLw6FHePA+qMosowoCphNViRJynEa0Om1vPTLuHydT+XWoAZbKny6fQth589hcThyAqV/Ik9SyT+ACS3+NZw9GhdHlpuuQavDwbnkJJd6H7PdzvTDB/gxH8HWdeyyzNjlS9kXm22ErNdo+HzHVmYMHELL8p4FTe83DlyO5fs9u9kVfRF7MWWnBbIlIb7q3Zc0i4XzyUnUDC5F07Ll7ukC6HuF3qO6sGLKulx9EItC/Xa1SY5PJf5iAooCVRuE8vbfL9/z3YiFQRRFylUrw+VzcS77Qm9Qh7+ZgJCCu45IGokPlrzG6YPnCN8ZSXD5IKo2DGXpD6uJ2HOaKvVDeejVB6lcL7TA51YpPtRg6z5HVhTmhR93MoWGbAPnmYcPOgVboofnraesigJcSnf/684TC08cZ29sNKZrXoDXPQGfW7mc3WMmuFU1v9/YevECE1b+4+SXWBwowJ7YGIbMn8PIho15KxcBWZW7g+1L9jDrvXnERyVSpX4o/Sb0YsUva68t+wnZBdFK7kbU+cHgrWfYKwNoO6AFibFJaLQSgWVUzbXcGP/lE3w68jun5T29Ucf4L5+4Jder2awaNZtVy3n9/Pee9b9Ubj/F0o0oCEIfQRAiBUE4IwjCG272jxIEIUEQhMPX/htTHNdVKTo2h8NJI+xG0qz/Fnaa7TYWnjheoHPrJIkOoZULNGbhyfCcQOtGTHZbrsbY9xPvbwkrUKAl5pH5unm/2W7nr2NHOHA5tlDzU7k9rJ25ic8e/54Lx6PJSjNxYtcpVk5dxzvzJjFp2gRe/+MFFsZPx99NfZHWoKFx1/qUr14WSeP5MSAIAjqDlt6jutJ2QAsEQSCkYrAaaOWD9oNa8f7i16jVojo+Ad7Ua1uLj1a8SYteje/01FTuAEXObAmCIAE/AT2BGGCfIAjLFEW52UxrnqIozxf1eiqFwyHL/HZwP38cPUymzUqHSpV5o30nKvr5Uz0wiBte4OUAACAASURBVNNuDJyb37D8tyMqqkCmp1pRJEBvYHSTgtVz5HaF648Lq8OB2W7DV6e/75a3bA4HF1Ncaz48sa96VaJKBVMp8SreborkM3U6LoaUYl91Z5NZs93OssgImpfzvOShcudQFIXf3vjLpSjakmVl7qeL+X7nJznbPl/3Lm/0+Yi0xHQEUcBhczDh6yfpP74XU16dxT8/rAGcs9NavYZ+43tSqU5FmnZrQMVa2d8Fpw+eY/X0MDJSsugwuBXtB7Vy0o5ScaZFr8ZqcKUCFM8yYivgjKIo5wAEQfgbGAjc386ldxmvbVjL6jOncjIia06fZmd0FOtGjmZy1x6M/mcR1msK4xpBQK/R8PYNy0hW2ZHvQlsBeKJxU8Y3b1VgvbGH6jckPCHBRVHeW6ejemAQb4atY2nECRyKQlkfHyZ36UHnKvePG71GFPHW6cjIpbvwRhL9/Oj32iQGHDzMe4uWYLTaMNpsmLRaTDot7w8bzIqmTdz6t91fYWzJIjM1k/Qk90v0F8JjnF5XrFWeP8/+xKn9Z8lMzaJO65p4+Wb/XcZEXMJuc82S2ix20pMy6D++Z84PmmU/r2Haf/7EZrEhywq7lu1jxZR1fLrmHTXgUlHJg+JYRqwARN/wOubatpsZKgjCUUEQFgqCoFbq3UZi09NYdTrSaelJRsFks/Hn0UO0qlCRJY88xsDadWkQUpqH6zdk5YgnnGxy2odW8qj0fiNaUWRI3Xq83bGLW/kId9gcDsLOnWX20cPUCgqmQ6VKGDVaJEHAS6PFR6vjl74P8p/1a1gacQKLw4FdlolJS+PZVcs4Fu9ahHqvIggCo5s0w3iTCKxGFPHReihUFgSWN29Kx/feZnqXTqQajUzv0okO77/DimZN3RvlajQ8WLvurbgFlSJy7uhFnm/9lpMm042UqhDksk0QBGq3rEGzHo1yAq3V08M4sjXc43W2LdzDulmbgWx/wKmv/oHFZEW+1u1ozrRwcs9pti3aXcQ7unNE7D3Nd8/+yhejf2LPqoPIqmOFyi3idhXILwfmKopiEQRhPDAL6ObuQEEQxgHjACpVUgUti4PIxER0kpTTaXgdi8PBwcuXAKgVXIove3kWJvTTG/ioa3fe3RyGXZZxyDJ6SYMCaESBTJsNb62WUl7evNWhS77nFpWawiML55FhteJQZASgdYVQZg4cwv7LsQQZvehboxZmu52w82dd7sFstzN1/15+7Dsg39cs6bzYqi0ZVitzjh1FEsB67f3IyONBYdLr+br/A3zd3/V9FgUBrShmZzZFkZGNmtCsAF2kKrcHU4aJV7q8R0aKq0DtdaIjYhkY8AQ9Hu/MyHeGElgmgDOHzrPy1/WkJqbTfmAr7DYbP700I1fDaqvZyqz35tF7VFeObjmBRqdx8Qc0Z1rYumAXXR5pX2z3eLuY+9kS/vpoIVazDUVW2LpwF60eaMY7816+78oTVG49xRFsxQI3ZqoqXtuWg6IoNxYE/Qb8z9PJFEWZBkyDbFHTYpjffU+on7/brJRGEKge6Por2BND6zWgWfkKLD15gkyblR7VatCkbFnWnzvL+eRkagWXonvVavlWjgd4cfUKErIynWQjdsdG0y60Es+0+Fco8VxyElo3AaMCnE1Oyvf17gUkUWRQnXocj4/jwOVL+Takzo1H6zekelAwZrudblWr3VNG3vcSWxfuzpflSlaaiWU/r2Hz39up1aI6hzcex+GQUWSFfasP4bA5sFnzbrJIiL7KiV2RLpYx1xEEAS+/kqeBlxBzldkfLnAKHs2ZFvauPsjBDUdp3lOts1IpXooj2NoH1BQEoSrZQdZwYMSNBwiCUE5RlMvXXj4InCyG66rkk5rBwTQsXYYjcVdyDIcBtJLEqAIWsFcNCGRim3ZEpaaioKCXNAyoVSdnv0OWmXn4IH8ePUzWtYDspdbt3C4pJmRmujVSNtvtzD1+lDHN/hXhrRoYiM3h+pCRBIGmZfM2g72XCI+PY/jCv912bRaWcr6+Bf4sqNx+rl5Kzr+MgwJpVzPYv/aI02Z3ptW58cukWXyz9UM0OtfHhc6ope/YkucscGD9Ubd+hOZMC9uX7FWDLZVip8g1W4qi2IHngbVkB1HzFUUJFwThQ0EQHrx22IuCIIQLgnAEeBEYVdTrqhSM3wYMple1GmhFCY0oUj0wiJmDhlIlILBA5zmZmED3P3/ngTmz6DfnD7rMmu5UM/Xq+jV8sXMb51OSicvMZF74MQbM/ZN0i+sXvE12IHgow745sPLTG3iiUVOnWiWBbLPqG7XA7ge+2rWjwBpbRo0mx4rnZgRg2sH9jFy8gL2xMW6PUbk7qN+uNjo3ptO3kjOHzqPRavhk5Vv4Bvlg9DGgN+rQ6jX/Z+88A6OoujD8zM62bDqQkFASeif0XqUoiEqRJgioIDZExQKWT8TeKyhYUAGVpiAgHaT33gk9ISQhhJC6dXa+HwuRZWeTTQgkwDx/ILMzc+9mNzNnzj3nfRkyvj91WtW8qfMpCowmPYJCd7VG1OTWtKncWI7tOsnczxeyYvpazFnm4p7ODadIarZkWV4MLL5m25tX/f9V4NWiGEulcAQaDHzd/T6sDgdWyUGQwVjgc+TY7Qz6cxbpVwVO8RnpDP5rNhseHUma2czS47FuS30Op5N0q4W5hw/waEN301ZXwOC5BKYXRe6vWctj+7i27akYHMwPu3ZwyWKmWbkKjG3TnqjgO0vzZ//55AI7sFgdDrxVdMlAhtXKprNx7Eo6x8Tu99OpchUve6vcDC4kpHLpfAYVa5Vzs4eJ6VCHmk2rcmTrsdwMl6gVcUoSBV5N9tEzMah0IADRdStSs3lV9qw6kNt9GH8kAUmSEAtQOlASaNGjMUq/MK1eS9ehHYphRncOTqeTDwZ/xeaFO3E6JLR6LZNGT+WjFW9Ss2nV4p7eDaNIRE1Vbh0MWm2hAi2ApcdjFWu/JKfMotgjHDifjFbjedG1OBxsPeueMcmwWug75w+PGiwBiAoO5skmntkqQRB4OKYhax8Zwd4nn+XHB3pTvXTpQr2XW5nyQUEFPsYJPqnvWxwO3l67uhCzUikKsi5lM+6edxha/VlevGs8fcOHM++b/55jBUHg/SWvM3TCAKLrVCCqdnkeeq03AaEFN23X+ijXYDXbuJiUxqTRU9m35hAOu4TVbMNudbBm1kbmfLqwwGMXN34BfkyY/wp+gUZMgX74BfqhM+p46vNhVKp7ZzfLb5y/jZENX6JX6DDGdHiTg5uOFun5V/22ni2LdmLNsWK3OTBnWchOz2F8r49v625Q1a5HxWfOZ2dj86Lufj47i9plwpAVHpV1Gg2VQtyzT38dPoRV4Vx6UeR/7e4i0JC/2eudyjPNWvDskkVu9Xe+4GshfVxGOguOHqZ7tRoFanZQuX7ef+hL9q09hN3mwH65eHvqq79Tvlokzbs3AkBv0NH/pQfo/9IDucfdPawjE5/9ie1L93gaUXvB10xY9qVsXu48gcST57Fb3bsRrTk25n+zmIFje/l2shJEo071mZ34IzuX78VmsdOka0xuFu9WIC35EvO/WcKBjUeIqlWePs/3oGLN6xMhXvbLv3wz6sdcsdz96w8z9u63+XDZ/6jXxnO1oTAs+WmVYt1gTkYOJ/eeoVqj21M3Uc1sqfhM48hy6LWe8blJp6NJZHkaRkRSITAI7TUZlCtSAldzNPWCYoG3RhCIz0gv2onfRmTbbHy9dTNyEZlPe+O11SvoNes3sn0UT1W5flIT09iz5qBHl6Alx8rsT/7O89jIymV5b9FrzEv9OU/7navxpavxCnGHE7DbPE3oAbIzlOttUhPTWDNrIzuW7y3QWDcTo8lAm17NuWtgm1sq0Eo8lczwui8w57MF7Ft7iMU/ruKpJmPZu9a7blp+OJ1Ofhg7Q9GV4MdxM653yrlIdi/fhStenrcparCl4jPNypWnYdlItFcVlgq4pCXaREUjCAIz+vSnRYWK6DUiBlGkYlAwP/d8kApB7m729cPL4qf1FOEUBIGaZVTZAW9M2bmd4xdTfRKYvR5y7HaOXEhh5KL5ihlIlaInPSUDrV45k5h6zjd5E/9gf6o2rKykU+tBUJlAr+MpohDfC4JAgw51PLb/Mn4mQ6o8w+cjJ/NOv894qOITnDoQ5/tYRYwkSRzaEsuBjUcUFfNvNX569XeyL2Vjt7rei1NyYs2x8vnjkwv9IJadnkN2eo7ia6f2F91n13VoR4wmz5ULvUFLtca3Z1YL1GBLRYGTaRd5afkSus34hWeXLOTQZQNoQRBoEhnptv4gA6cvpbEvOQmAMiYT03v3Y+uIJ1kzbARrhg2nefkKHmP0rFmbQL3erUNOL4rUKFWGxhGqmKY3/j562KPO7UYhA5vPxtNg8jd3lEp/cVGhZjnF7lxRJ9L4KikCWZY5tPkoG+dv42JSmsf+L/30FAZ/o6JUw9W06d2c8Iph6AxaTEF+6P10CBrfxTy1ehG/QCNPfDrUbfuO5Xv58/NF2K12zJkWcjLNpCWn8/q97xdLTc6hLbEMLP8E4+55h9d7vE+/iBHsWL43/wOLicRTyUzo+yk9g4cyoNzjTH9njkeAuGvF3lwl/6s5f+YCmWlZhRrXFOiHzst3JqxC0dXGdnvsLmq3roExwFU7rDfqMPobeGPWmFuu0aIgqMGWihsHzyfzwMwZ/H30MLEXU1ly/Bj95vzB5vg4rA4HP+7eheOaJyerJPHllk1u24KNRsoGBHhVYvbX65nQsTOhRlebtVYQuLtqNab37quqN+eBN/mGKxhEEZ1GQ7VSpQk1Fq4R4lpsTidD581Fuo2LV0sCeoOOkZ8OwXDVU7+oE/EPMvHQOFdNVPKZFB6pOZpx97zLx49M5OHKz/DD2Om52Yyzsed49d73EXA9HOX1t7T85zVcSEhFlmWCw4JwSrLPWRFjgJGez3TnxwNfeNQJLfxumWJNTtalbGJ3nPDp/EVFTqaZV7u9y6Xz6a7AL8NMVlo2b/X5RDFQLW4upaTzTPNxbJq/jZxMMxeTLjHrw/m8P/grt/1MwV6s0AQwFFIaRNSK9H6+h9v3D8Bg0jP0rf6FOqcSWp2WD5e+wVt/vsTAsb0Y/v5gpp2YRMO76hXZGCURNdhSceO99WvIsduRLl90nbKM2eHgzTWrOJ/t3SLkSGpKgcZZdfIELyxfzAWzK23tvLzt5KWSdwEsSfStUw/jNXVzAhAZEMD9NWqi1WgQgOMXU0mzWHJfv17Mdju7ks4VwZlU8qLH4115e/4rNOkaQ1TtCtz/xN1M2fspZcq7Mgtv9vqIpJPJmLNcgYPdaufvSUvZ8NdWZFnm1e7vkZpwEXOWBbvVnmfwJDkkbBY7DptE4olkHDaH51Khly9PdO0KPPnZMMWMR46XGi5BI2DOsvj0eygqNs7fptgw4JScrPp9g9fjMtOyWPrzv/w9aSkJxxO97lfULJq8HGu21S1rZTXb2LpoJ+dOJOVu6/1sd4+gSGfQ0bZ3czepkIIy7K3+PDjmPowBRnQGHUFlAnn6y0dp37dVoc+phEajoUnXBgz/YDB9nu9BaHhw/gfd4qjdiCpu7E5KUtx+6lIaQQaDYrchUCDbH1mWeWvtandj7MtB3Qfr1/L7g0X3FHW7MbxREzbGn2FvchJ2SUIvihi1Wqb37sdv+/dikySPei5BEK67oF4QwHobF6+WJBp3iaFxlxiP7WePJZIQm+ixfGTNsTHl5WlMfeMPkk6dL9K56HRaj4J9g8nAPY/e5fWYDv1bc3jrMQ/fRafkpHbLGkU6v/zITM1SrNGyW+2kn1duxNm+bA8THvwUQSPgdEhMeUkmqlZ5LDlWwiqUYeC4Xj4rzDudTnav2k/8kXNE1S5Pw0710CiIqV7h0OZYD/9JcOl/ndofR7mqEQD0Gn0vpw+eZdVv69EbtblF7TuX7+ODh79i+PuDCI8K82mOV6PRaHj07YEM+V9fcjLMBIT65zlfFd9Rg607GFmWmXv4IFN37yTdaqFjdGUC9DqsZs+Lk0EUCTQYGNagEdP27nbrJDRqtTzXorXP42bb7SRlZSq+tu+8crCn4sKg1TKjdz92Jp5jT1IikQGBdKlSFYNWy9rTpxQL54uic9EqSSyKPUKlkBCPZgeVm0NORg4aL9pYyadTfCqKLyiSJGEK9MPpdGI12zD46anfrjbdh3fyeszdj3Rk2c+rOX0wHku2FY2oQafX8tx3jysWRt9IGnaqp2jLYwwwutXBXcGSY+Wdfp95BIon9p4BIOFYEoe3HuOZrx6l+/DOeY6dcTGTMR3Gc/5MCg67hFYnElE5nM/WTCAwNEDxmEr1oti9+oAry3gVksNJuWoRuT+LosiLPz7FsAn9+XT4t+xbdxi7xY7damfNrE3sWLaXnw59QUhY4f5WtTrtLdWdeSugBlt3EBaHncXHYtmTlESV0FCOX0xl3pFDuYHT3EMH0Gu1GEURy1VF2EatlofqxaARBF5u3Q5/nZ4fd+8gw2qlckgo/2t/l2IRvDd0Gg2iRoOkUOhd2s9LLYJKLoIg0LRceZqWc6+VKW0yKS7DFpVIxJxDB1h07Ch/DxhM1VJ3nphscVO5fhQa0XtEdSPUQPwC/fjt1Lesnb2ZtOR06revTf12tfOsBdMbdHy+7m3Wz93CpgU7CA0P5t6RXahcL6roJ5gPVWKiafdgSzb8tTW3jszob6B+21o06uRZI7Rz+d58mwSsOVamvDSNrkM7oNV5v4VOGv0zCbHncFyWOrBb7cQfPcd3L/zCK7+MUjym5zPdWDR5uVuwpdNrqd64suLvz+mU2X850MrdJjmxZFtY8O0yho5XVwlKCmqwdYdw0ZxDr1m/cdFsJsduxyhqsUjuT08OWUZ0OqlVJowjF1LQiyJWSaJbteq80qY94NLBGtW8JaOat0RyOhELmGLelnCWp/5ZoJht8dNq7zifw6Lk8cZNOXD+PGbHfxdenUZDoMHAJYvFQ9Q01GjMrevyBRmXJMTb6/7l1159i2raKj6i0+t4YcoTvDvgi5sznkFHj8e74B/sX2CzaZ1eR6dB7eg0qJ1P+6cmpvH3xCUc2XacyvWj6D36XiIqhRdm2h68/PMztOzRhCVTV+OwO7h7aEc6D26nGDA67JJPTydOyUniyeTc5gDJIbFh3jZ2LN1NSEQI3R69i/V/bs4NtHLPb3Owds5mr8FW2egwPlk1ns9HTub0gXg0ooZ2fVsy+tvHFfc/te8MOoPWY+nRZrFzYMOR/N+Iyk1DDbbuED7ZtIHkrKzcZaZrA60rWCUJgyiyZfiTnE6/RIXAIEqblLNNBQ20LlnMPLbgL3LsnjUJRlFkZONmDKxbv0DnVPmPLlWq8Wzzlny9bTM6jQa700ndsHDebH8XQ+f/idlhxyZJaDUadBoNU+7rxQvL/iEhU3lJ1xsb4s6QabWqKv/FQId+rZk85lcuJOSvu6URNURUCncrrPYFQXAtI7W4tzGPvDOwsFP1mbOx5xjV8lVsZtcy2P51h1jy4yo+WTWems2qXff5NRoNHfq3pkP//EsdmnSN8UlY02GXCC7jss2yWe28dNdbnDoQhyXLglYn8tcXi7yKdzqlvLt6azarxpTdn2LJsaLViXlmz8pWCvcI6MDVWVix1vWpyasULWqwdYew/MQxn4QwRUEgKjiEYKORBsaIfPcvCP8ci1XMaBlFLWPbtGNYw8ZFOt6dyJNNm/NwTEOOXEghzORP9GWbpOVDHmH63j3sSjxH1dBQBtVvQI3SZRR1nfJDBh76cxY/93yQMP+Ce/KpXB9PffEIHz8y0UPp+2q0ei3hUWW45KUI3Bt6o44RHz5MqweaFllmKT++G/MLOenm3GuDwy7hsEt8+dT3fLfj45syhysEhPjz/JSRfPHE9zgdkmIgozPoaHFv49yapqU/rebkvtO5n4fDLoFdQqPVoBEEt+BKI2pybZfyw5f6tkp1K1KtURWObj/utvSo1WvpPfpen8ZRuTmowdYdgtbHLJReFHmsURO3bRfNOZxMSyPdYmHekUPEZ6TTpmIUjzZqQpjJ95vtJYtZsaPN5pTIUsh2qRSOAL3eo54rzOTP6Bat+HzzBqbt28NvB/ZRLjCQMiZ/zmZmFHiMQxdSaD11CvdWr0mvWrVpH1WpwJlOlYIjOSQyL2ZRulwpEk8kKz68CILAvY93wZptYeWM9T6dVxBcXYZdhnS46Tfpvf8eVHwfJ/acxm6zo9N7Ok3cSLo83IG6rWux6vf1mDNd8hpLp/4LAjhsEs26NeSVX5/J3X/1HxsUA1+9UYdOr8NutWPJtmIMMGIKMDLqm+FFOt/3Fo3jsxHfsXnhTgDCK5ZhzI9PUqF6ZJGOo3J9qMHWHULfOvWYununm/q4KAgEGYxk221oBIEgg4H3O91NrTKulmGnLDNh7WpmH9yPIAhuUg1HLqTw69491A4rQ3RwKMMaNCKmbN6ZsBblK2LUaT2WEQ2illYVKioe43A6WXv6FGcz06kfHkGjiEhV9LSQvLvuX2YfOpD7OZ7NyCA5KwuBwhXRS7LMwtgjLD9xjOqlyzDzwQGYdDf3xni7c+ZQPOkXMjl77Bwpcans+fcAx3aexGr2ntXSGbQc3nKUYztP5XluQQC9n4EO/VqiM+i466G2xLT3tN650RgDjIrvR6vTInrpvrzRRFYpy8Nv/FeXOOLDh0k4nkRIeLCHJpTRpCwiKiDw9t9jiT+SwMn9cVSNiabDgNb4+fsuNmzOMnN892mCSgcQXUf5Gukf7M+bc17CkmPFmmMlqHSgeo0sgajB1h3Cs81bsuNcAgfPn0eSZbQaDaX9/JjdbyB6USTLZqNcYBCaq/5If96zk7mHDijaw9idTuxOJ7sSE9mTlMSS47F80Pluetas7XUOTSLL0bZiNOvjzuQWcftpdbSLjqZRhOdTWEJmBgPmzCTdasHhdCIKGmLKRvBzzz4YFAyxSyon0y5yJv0S1UuVLjbZhGybjVkH93t8lnank6ohoZxJT0dGzhWzLQhWSeJY6gUm79jKmFZti2rKty1nDp8l7nACUbXKeb2BJp9J4Y37PiDheBJ2a8GyvjaLPd9ACwHqt6/DsxNHUKmu8hxuFvc/eTdzPl3gFnDpjDo6D2pXYjSe9Ea9RzdgRmommxbsILJqBIYNRzwCxsDSgdRtXZN6bWoVasz53yzmx3G/odWLOOwSFaqX491F43IFbq/FaDIUqbTGlWyjGrgVDUJRaPDcKJo2bSrv2LGjuKdx2yDLMruTEjmUcp6KQcG0jYrOc+mnzdQpJGb57rMVoNez4/Gn0efhbyU5nSw4eoQ5hw8gAP3q1OP+GrUU5zFg7kx2JZ5zCwAMosgTTZrzfEvfdb2Kixy7naf++ZvtCQnoRBGb5KBLlap8fve96G6yB9jJtIv0nDmDbIXl2gCdnqENGhFqNPLBhrUU1pSnlJ8fr7XtQIvyFSkfFHR9E74NsZqtvNXnE/avO4yoE5HsEnXb1GTC/LFsX7qHmR/O42JiGvXb1+HgxiOcj7twQ+YhajUssc4sMTdRh93Bh0O+ZvOCHegMWhw2ibpta/HWXy8XKAt0M1kzeyOfPPKtS4pDdhXJI7hkLzQaDTqDjk9WvUnl+tGcO5HEwU1HCS0bQqPO9Xzy/9vz7wHeuP9DN70vjaihcv0oJu/65Ea+NbIzcpj8wi+s+n0DDruDBh3r8ty3j1OhhupZ6wuCIOyUZbmpx3Y12FLxRr3vvlbsHPRGgE7PjD798l1O9IUMq4VmP3ynWNQfGRDIxsdGXvcYN5pXVy5n/tFDbtkko1bLyMbNbnqwaHHYafL9d26yEFej02jQCBpiwsuyPTHB43VREPLNegmAn06H5HTycP2GvNi6DSnZOZQxmfArQcuLFoedv48eYUt8HBWCghlYP4bygTc+OJz0/M8s/n6FW5u+3qijeuMqHN9zOvfGKmgERYuZokLvp+ef7N9u2PkLS+KpZM4cPEv56hEefoslibTz6Txc+Wls12SydAYdQ8b3o1LdijS9pwFanZYvRk5h1W/rELUaBEGDKdiPz/6dkKsE7403e37E5oWe9z6DycCk7R8SXdt3XcOCIMsyz7V5neO7T2G3usoNBEHAP8TEr7HfqEKnPuAt2Lp11mJUbihmu52pu3cy78ghRI2GfnXq0SSyHBvizvhcz+OQnQQbiuZJVMrjZuO4BQyRJaeTeUcPYbtm2c7icPDb/j03PdgyanU80aQZU3Zuc1P/v4IrqHWyIzHBo4ZLp9F4aHQpcUWHC+CXPbuYsX8PoqDBicygejG82rZDsRfRZ1gt9Jz5GynZ2eQ47Og0IlP37GLqA71p4aVusDCcj7/A3M8WcnhLLBVqRNL0noYs/WmVoh7SwU1H3bbdyEBLEARa9CiZXb+RlctSNjqMgxuPcmp/HHVa1fC6ZFacbJq/TTEr6JScSHYHre533WdXTF/LvzM3uH3m5mwL43t/zA/7Ps9zjDQvXaSiTiQzNW+plvjYcyz5YSWWHCtN725Ii/sa+5RNAzi6/Tin9sflBlrgCsDsFjtLp66m/8s9fTqPiidqsKWC5HTy0F+zOXohJTcL8/mWjdQpE4ZJp8PqcOC46mar12iwXRPwiIJAtVKlc6UGrpdQPz+qlirNkQvuBtc6jUiP6jfXX60wSLLsNShUWsq7GTzbvCWl/fyYvHM7SVmZipmqa7eIuG7QUgEDXAn5skOA6/v0x4F9mHR6xrRqU7jJFxGTd2wjMTMj9/trd0rYnRJjli9hw6OPe11as0sSvx/Yx+yD+3HKMn1q1WFog0aKtYNxRxJ4tuWr2Mw2HHaJI9uO+9wVeKMx+usZ/PqDLPxuGdkZZpp1a0jVBpWKe1oAJJ0+z8udJ5CekoGgEbBbHdz/ZFee/PyRErPkCWC3OZAV/h6cTqdbkLLg22W5qvVXkJ0yiSeSSTieSPlq3rsFW97Xpm8/2QAAIABJREFUmJN7T3sE55Jdomqjyl7mZeetPp+wbfHu3G1Lp66mRpOqfLxqPHpD/tnl+CPnUPJ9spptHN+dTx2gSp6UjOpDlWJlzZlTnLiY6rbcZXE4OHLhAh91vYcB9WKoGxZOz5q1mfpAb6b17seTjZu5/BL1ekw6HVVDS/H9fUX71PPZ3d0J1BswXr6hmXQ6KgQFFsiHsbjQi2JuV+fVCOC18/JGIwgCg2Masv7Rxxlcv4FbM4Q3JPDIzhUGs8PBz3t25pkhS8nO5vSlNJ+yaIXln2OxHg8K4JIliUtXzibIsswTi/7m443rOHwhhaOpF/hi6yYenjdHca4/vDIdc6ZFUaPpZhAS4b0Jo0HHejzX5nWmvDyNX/43k+favM4XT0wuEv/M62V87485fyYFc5aFnAyX5MLiH1exbs7m4p6aGy3va6K4XW/U0ab3fw4YWWnK9a4aUZOnRhpAz2e6E1o2BL3xvwDJYDLw+EeDvdaxfTPqR7dAC8BudRC78wRLflyZ53hXiKpTQdH3yeCnp3qTKj6dQ0UZNbOlws5z5xSzLXanxLmMTN65y9Oqo3n5CjzepBn7kpMoYzJRJ8wlgDj74H4mbt9KSnYWNUuH8Vq7Dl59E89lZpCYlUm10NIEGz0vILXLhLHukRHMO3KIM+mXaBQRyT1Vq98ynYjvderK4D9nX86eONFrRAxaLa+361jcU6N3rTrMOXRAcUnxRmF2OPjn2FFmH9xPts3G/TVr8VC9GDKtNkYtWcje5CREQSBAr+fjLt3oUEn5Cb4gHEtN5bf9e0jMyuKuSpUxeJEScMoyfl6UuncnJbI14azb78ricHD4Qgrrzpym41XzlCSJPf8eKJbgpXqTyjz37UjiDifwxROT3bIsV9i+dDeS479gU3JIrP59A216tfBZbPNGcO5EEgmxiTivWUK1ZFuZP3GJT+rvN4uISuEMGd+PGW/PvZzlktH76enxeGdqNKkKwIZ5W0k8dV7xeL2fnui6eddcBYT4M3n3Jyz4dimbF+6kVEQIfZ7rQYOOdRX3N2dbWDFtreJrdquDlTPW0/OZ7vm+t5pNq1KtcWWObjuR2wUraAQMJj3dHvNuPq6SP7fGXUvlujmfnUW23U50cIhHRiMiIACjVuumowWu7EzZAGV3enAt9V19Q/xh53a+3Lop96a073wSj/z9J9N796VJ5H8Fr9k2G6OXLmJTfBx6UcQmSTzSsDGvtPb0Kws2GnkkD2X5pKxMkrOyqFqqNAF6Zb2b4qJB2QiWDB7Gz3t2cTQ1hYYRkQyNaZTn7/SmzS0ikhGNm/H9zm2AK+NmKYIMVl6YtDrGrliWaxV1JPUCfx46iE2SOHUpLXdZ0+xw8PTiBSx8aAhVQksBruzStoSzHLqQQlRQMB0qVc5XqHfpsVjGrFiCXZKQZJkNcafx1+k9vuuiIFA7LJxwf+XPZWdiAg6n5+8mx25n+7mzucHWiulrmTzmF4+lo2vRGbRo9VrMmcq+lFq9iMNWsM+iSkwUk7Z9hCAIxB89pxho6Y06EAQkh3tWxZJtZfm0NcUabOVkmtFolT/P7PScmzyb/Bk4tjfNuzdm9R8bkBwS7fu2onaL6gDYLDY+eWSSol2PVq9l7LRnfaqhCgjxZ9BrDzLotQfz3TczNTNPA22dwfdb/fuLX+eHV2awcvpa7FYHjbvWZ9TXwwkMLf7r1q2MGmzd5iRlZTJqySIOnk9GIwgE6g18cnc32kVVyt3ngZq1+HTzBrfjBEAvarm7im/eZHZJ4pvtWzwyJRaHg882beT3B/9zn39t9XI2xsdhk6Tcpctpe3dTJSSU2mHhrD1zCpNOT4/qNbzeAK8O2HSiiMPp5MkmzXi2easSVd9RMTiYNzvcVdzTUOSFlq3pU6sOa86cxCBqmbZ3N0dSb4zcgEHUYnHY3Wr/LA4HJ9IuIoNH/ZhNkpi2dzdvdexMjt3Ow3/NIfbiBRySE52oIcTox5x+A4kIUO6OskkSY1ctdwuqzA4HktNJ1VKlOZmWhqhxmRWV8jMxsft9XuceZgpAL4oenbFGrZayl7+fu1bu46unvs93eQhcXn1tezdn1YwNOBWWNAsaaAHEHU5g7exNtLy/KV8//YPiPiHhwWR6WdriBhbl+0LlelFoFbKOeqOO9n1bFsOM8qdKTDRVYqI9th/eegxvLljVGlWm2T0Ni3wupcuVQm/QY7d4BtkaUcN9I7v6fC4/fyOjJ41g9KQRRTnFOx61Zus2RpZlHv5rDnuTErFKEmaHg/M52Ty56G9OX0rL3S/E6MeM3v2ICgrGqNViELVUK1WaWX0H+Lxkd9Fs9loQHnvVDTzbZmPZieMedUBmh4P31q9lwNyZfLFlEx9vXEfHX39i2fFjiuccu3IZm+LjsEoSWTYbFoeDKTu3szBWdbovCNEhIQxr0JiWFSqSZlHOtFwvflotwxs1Qa/wXbJKkmLdkyTLxKWn89u+PbT7+Xv2JCeSY7djc0pk2+0kZmbw5KK/vX7njlxIUTyvzelEAHrXqoXD6STHbkcUBE6keTd2vqdqNXQaz0BAFAQeqOkSrPzjg3k+BVoGk4GGneuzZtZmxUCrsDjsEpPH/MquFfuUMxwCxHSoo9jpaPR32fQUJ6JW5KWpz2Aw6REvZ7gMJgPhUWH0fq5Hsc6toOiNeq/LyEGlb0x2SNSKPP7xw+iMnkXwLe5tRMeBxduYoqJmtm5rdiaeIyk7yyNrYHc6+W3/XrfaoZiyEfw7bDjxGemIGk2BdYdCjEavpsZXdyhm221erY8zbP8tv1zJeI1Zvpjt0U+72cBkWK2sPHVCMWCbsnM7D+ShYq/iSbrFQp9Zv5NuLfpgSy+KDK7fgHSrxatmm1Kno06jITkrk/c3rFWsK3MC+84n0/T7b/n+/l4edYEBej1OWTmYOXQhhUNXdbmeTr/EE4v+5o8+/Wlw2ckgMTOT4xdTiQoOITokhN8f7M/TixeQmJGJ5JDQ5jjockYkcW88KTot504kKY6lM+ro0L81cQfjCY0IoW6bWvz+7p8FVoX3hdTENLLSs5W9ly5ve/2PF3h3wOfIsozD5kBn1NOub8sSIQfRumczJm3/iIXfLSMlPpWm9zSk69AORaqKfjOo2awqpkCTxzKx0d9AjwJkmApKj8e7Elo2hOlvzyHxRDLh0WUYNmEAbXo299g3+UwKK6atJT01k+bdGtLk7gYlRq3/dkUNtm5jzmdnoVEIbRxOJ/EKnVeCIBAVXDjpBoNWy6MNG/Pznp1uN0ejVuumKRVm8ifEaCQ5O9un84qChg1xp7m7avXcbZlWq9dOulRzyavvKOnMPXwAi+TwqqcmCgI6UfSo6csPrUZDiNHIqlMnOZuh3OkHyrGB3enksA9Lmhk2K48t+ItNj40k6CqNt6jgEEr5mTiXmeGTTpzV4WDi9i1816Mnr6xcypJjsbn1hC0rVOTbex/ghwadebrnO9jtDjSJORwUBEb/sBGDSe9q0VcwmRS1Ii9MHone6KonfLX7e1hy8q7puh6CSgUodkEa/Q3cNbAtzbs3YtqJiayZtYmcy9IPNZv5VipwM4iuXYFRXxetUfPNRqPR8O7CcbzSZQKSQ8LplHFKTro91ilXg+tG0fqBZrR+oFme+2xasJ33H/oSSXLisDlYNnU1dVrX5L1FrxabF+WdgBpsFYL5Rw7xxZZNJGZlUjEomHFt2tO1asm5YF0hpmwENoXCXj+tljYVoxSOuD7GtGqDUSvy/a4d5NjtRAQE8Ebbjm71YYIg8G6nrjy7ZBFWh+sGr9W4QkIltXgEPDJmEQEBmHQ6j5u/BoG6YeEsij1CtVKlFaUXVDw5nJKSZyBl1GoZ2aQZ0/bu8TmY1YsijzdqSnxGOgtjjxTK6NpXHE4nS47FMqBeDCcupvLBxnWsPe3SBPJ1XBk4djGVyTu2svT4MaxX1RNuORvP22v/xfHhZpxxGVy5HV1ZKvK2fGg0GRj2Vv/cQAsgPcV70JkfgkYgMNSfjFTvkgJlo8MY/d0Ivn76R9eN3iFhMBlo9UBTmnVz1QqVigilzy22NHerUa1RZWae+4HtS3aTkZpJg45181WNvxnYLDY+HPK1m4+jOcvCwY1HWP3HBroW83Ly7YwabBWQuYcO8OaaVbk3p1OX0nhu2T983a0HXXwsJr9ZVAgKpnfNOiyIPZybbdKLIqVNJvrUVm4hvh40gsCo5q14pllLbJKEXhQVi9U7V67KzAcH8P3O7ZxOv0SzcuVpUDaCN1avJOcaOxnJ6aRN1H9FqPOOHOLzzRu5aDa7JRK0Gg2yLLMpPo4tZ+OxShI6jYbm5SrwQqs2NFQwulZxUS+8LEuOx3qVgZCBkY2bUTW0NK+sXJqvhVP9sLK80Ko1LyxbTIbVekMDLXA1Z1yyWtiVeI4h8+YUWs6iblhZft272yPwtEoS848eoso1Su9KCBqBkLAgSpcvxaBX+9DuQffi7hY9mnBsV+HEIf2DTUw7PpG3HvyUPasPeLxerloElepFUbl+NHVb12LVb+swZ1po9UBTYtrXKVGNI3cCeoOONr2ak34hgxN7TmO3OW6YzY6vHNocq/g9sGRbWTl9nRps3UDUYKuAfLp5g8fF2OJw8NHG9SUu2AJ4r3NXGkVG8uve3WTbbHSrVoMnmzbD/wbKJAiCkG9hfUzZCCbee3/uz7IsszPxHHMPHcAmSbk3aBlXgDu0QSPmHjrA+DWrcm+mMq4ALyIgAJNWx5lLl9yEWa2SxPr4M2xPTOD7+3rRNsqzc0gF+tSuy8TtWxSL1Y2iyJvt78Kg1dK1SlWCDcZ8g62GERE8v3SxWw3ejaZl+Yq8/u/KQgdaGlx1Yqlms+LrNknCP8QfW9KlPM+jM+j4dsdHXm1marWorrjdF4LLBOEf7M8HS17nfz0/YsfSPYArwCtfLYKPV7yZeyOtUD2SYW8NKPRYKtePLMv8+OpvzPtqMXqjDofdQeV6Uby76FWCyxSPUbtWJ3pN9+oViutVig412CoAdkkixUutUVx63hfh4kIjCPSvW5/+desX91TyRBAE3rmrC+ezs/j31Ckcl4ubLQ4HH2xYx6JjR9mVeM4jGHDKMgZRS1xGOnYvBdEWh4O3161m+cOP3vD3cSsSZDAwf8BgJqz9l3VnTgECoUYjTcuVZ3ijJjSKLIdTltmacJYapUuTmOXdm82k06EVRZw3PJ/1HzLQZ/bvhR5RwKXntiCfTlbdi83Rv7UGW7b3rkP/ID9KRYZ6fd0U6IeoExU1mABemTaKH16eTlqy+3KjzqDNlUDQ6rR8sPh1zNkWTuw+RWDpwGLPmJRkMlIzyc7IoWx02HUXgcuyTNzhs2Sn51CtUWW3JeJr+fePDSyYtBS71Z7bEHF89ynee+hLPl7xptu+aefTWT93CzmZN9ZCqXarGuiNOnIy3R8qjP4Guo/ofEPGLG5kWcacZXF1uvroEXkjUIOtAqDVaCjlZ1KsWykfVDxPKrcT2TYba8+czg20rmCVHOw4l+D1uPj0dCQvgdYVjl+8iFOWfbKouROpEBTMD/f3UnwtzWxm4J+zOJeZkad1jygIhBiN1CoTdtMV1As7ml6joWWFKNbHnc73/Lv9coh5oSWp767zut+ob4bneUOv3bI6fv5Gsi55PrSVrx5Jl8HtCQkLZsKDn+CwS0h2CaPJQGhECP1eesBtfz9/I/Xa3iadt9nZ8N578N138NRT8Prr4O9/XafMuJjJh0O+Yc/q/WhEDaZAP174/slCF6knnT7P/+7/kMRT5xG1GmSnzOhvR9DlYeWlt7lfLPIQuHXYJQ5sOELa+XRCw122Slv/2ck7Az4H2fX6jLfn0HVYR0ZPGuGx5GfOtvDPlBWs/2srgaH+9BzVvUC6XaIo8vaCcbza7V2cTidOh+uxqOuwjje8eL84WDtnM5PH/EJa8iX0fnp6P9eDoeP7FUvQJZQETyxvNG3aVN6xY0dxT8ONGfv28ME17ehGrZZPunSjR42axTizG0u2zcbsQ/tZefIEZUz+DGvQiMaR5Yp0jITMDO6e/nOBl4JEQaBRRCQ7E895vekG6Q3seXLU9U/yDmT0kkUsO3FMuYHhMgLQs2ZtXmvXEVmWaf/LD25LuiWV9lHRHExJ8bnw31+no+yo9QgKXzSNqGGZfRaZaVnEHU4gPKoMYRU8lxP3/HuAN+7/ALvVjlOSQYDqjaswcesHuYHa2WOJLJq8jKRTKTTuEkPXYR28euLd0sgy/PEHjB4NZjPk5IDJBH5+8M03MHCgojGyLzzX5nVid5xw6840mPR8tfG9AmeOZFnmkZqjSTqZ7GYpZDDp+WLdO1Rv7OkbOKTqMyQpWPYIgkBMx7o8/uFgoutWpF/Z4R5BmdHfwPg/X6bp3Q1yt1nNVka1eJXEE8m5Be46g47K9SrS4r4mdHv0LsKjfGsKsuRY2bxgB1lpWTTsVI+KNcvnf9Atxo7le3mrz8duDSwGk56ez3Tj8Y+G3LBxBUHYKcuyR+SqBlsFRJZl/jiwj6+2biIlJ4fIgEBeadOOnrextlO2zUbPmTM4l5WJxeFAwBVgvt6uI4PqN8j3+Ayrhb8OHyI29QJ1w8vSq2ZtxZoxh9NJsx++Jd1asFofvUZkfIdOfLBxLRaHw0Po0u9yN92tYGBd0pBlmVqTvvQaaJXy8+O+GrUY07INQYb/9JCm7NjG19s2Y7nccWoQRQL0eqqFlCI5J5vTl5fdFdQSSjQC0H5KPGcPK2day1QoxaXzGRj89Nisdpp2bcBrfzzvoRWVcTGTdXO2kHkxi8Zd6pco+YWbRlIS3HMPnDjhymxdi78/VK0Ky5ZBRME6+eKOJPB0k1fcuu4ANBqBzkPa88rPBXvwOrz1GGO7vo05y107S6MR6Dq0Ay9NfcbjmImjf+KfKSu8GpIbTHoGju3NnM8WkJPhWSvYaVA7Xp0xOvfnhZOXM+WlaVgVpENEnYhWJ/LmnJeK1XapJDG69Wsc3uIpim0wGfjrwtQ8l4CvB2/BlrqMWEAEQWBQ/QYMqt/gjlmW+n3/Xs5lZuZ62slcUXxfQ69addwER6/l1KU0Hpz9O1aHA7PDgd/RI3y9dTPzBwwmMtDdakWr0fBq2w5MWLu6QNktUSOgEWDV0Mf4fd9e/o49THx6OgZRRJJhYL0YRjUrmZYfJR0lK50rGESRHY8/rfjaE02b07x8BWYd3E+W3ca91WpyT9VqiJczNzZJIiEjHT+djhEL53EoJUXxPCWN6OBgslIPeX39wlmXEr3D5vr+7lyxl6+e/oGxv7jf3INKBXLfEzdO4PKWYP1674EWuLafOOHar1+/Ap36wtlUtHqtR7DldMoknkgu8FTTUzLQKCjzO50yqYlpCkdAt8c6sWLaWmTZhuTwDLisOTb++X6F1zGvTYRsXbRTMdACkC4vOX/48FfMTvoRrRdT9TuJxJPePmeZ9AuZilnnG4n6iVwHd0KgBbD85PHcQOtqRI2G/clJtKhQ0euxb6xeQYbVmlvYbnbYsUoO3l2/hklXdSNeoX/d+oT7BzBp+xaOX0z1STpABmIiIgkz+fNcy9Y817I1OZctXcoGBJY4g+pbCY0g0LpiFJvi49yaE0RB4K5KnksnV9MoshyNvCw160WRypdNpt/vdDcD5s4sccuOWo0Gyflfqb9Rq2Vcs7Z8emG5z+ewWeysnbWJ5797HIPfraWEflPIr2C9kAXtVRpEK6r06406GnaqV+Dz1W5ZHZuCubfBpKflfU08ti/+cSWTRk+9/JP3K1jquYvo/TyvT0Z/A12HtHfbFlo2GI1GcFvGvBbJ4eT47lPUal74rtfbhSoxldi1cp/HdlErElo2+KbPR9XnV8mXUn5+itslp0yQ0XsdieR0sjXhrGIH4b+nT3o9rmOlyszp9xDPt2yNPp9CRj+tlnZR0dS+RsDUpNNRtVRpNdAqAt67qyshRiMmrSuDadLqKO1n4n/ti8ZgO6ZsBMsffpTAEvRZaRCoGBRE++hKlA8MpH1UJWb07sepn7cp+gvmjexRk6NyYwkJC+aBZ7ph9P8vwNWIGrR6HUaTgdMH4/M8PjMtix/GzmBYjWd5qskrbFm0kwFje7qdT++nJ6xCGe5+xP3v4HxcCpNGT8VmsWOz2JEc3msdjQFGxk0fjcFPj96oQ6MRMJj0dBzQhqbXFL4/8Ew3Re/Dq3HKTnQGVcIB4NF3B2IwuV9TjCYDQ8b3L5bMn5rZUsmXoQ0asSHujNvSnkYQKBcYSK3SZbweJwgCGkFQNATW+vDE2i6qEh+yXvHYEIORIIOBh+rHMKxB8fu63c5UDA5mzbAR/H30MLGpF6gTFs79NWrluXxcmDEWDx7G0HlzOXVJeVnmWgL1ehYNHEKGzcrKkyf4attmr/uKl7PQ3pZEr8WJTHxGBtHBoax/dCTgugG/MXGpT8dfTWjZEIJKB+a/o0qRMvLjIVSpH83czxeSlnyJrEvZOJ1Opk+Yw/QJc2jXtyUv//yMR/eoOcvM003HciHhYu5y8MRRP9F5SDvemDWG+d8sJuNiFu36tOSBp+/xaFxY/+dWfPmaGUx6ej3bnba9W+RaKJkzLTTr3pAaTap67F+9cRWenTSCiaN+wumUsZk9JUiCywRRJUbVEwSo1bw6Hy1/kx9emc7xPacpXS6Uh9/oS9ehxSPcqgZbKvnSpmI0z7VozRdbNqITRZyyTFn/AH7u2SdPVWqNIHBP1WosP3HcrcBaL4r08qGhoEpoKQbVj2Hmgf2YLyvLm3Q6OkZX5pvu96mK2DeRAL2ewT40Q1wP5QODqBde1qdgq6zJn2/uvY+Kl03O64aX5e+jh3ML768mMiCQid3vo2JQMC2nTlEM/pVwOJ1sjI8j02ol0GDgzKGz6I06n02kBUFA76fjue9Gqt9Vb+TR4erT63kgCK7i9S5D2jOk6jPYk9OxX7UUuOGvrTTp2oAuD7sv1y3/dQ1pyem5gRa4uveW/7qWh8b14YMlb+Q5ruSQkPPq3BUENKJA16Edc4Vnr7VQcjqdrJi2lgXfLsNqttLpobb0Hn0v9wy7i479W3Nk23HmfbWYbUt3o9FoEEUNWoOWd/4eq37XrqJu65p8ueHd4p4GoAZbKj4yskkzBtarz96kJEL8/KgXFu7TH/XbHbtw7OJFEjLSkS43FFQvVZqxbdrneyzAG+060rFSZf48dBC700nPmrXoUqVaoS8oTlnmyIUU7E4ndcPCfcqwqdw8jFptnh2KVzKlqeYchs7/kyk9etIuuhIAb7S/i1FLFro5PBi1Wt5o14FGkeWwOOxeM63eEASwSA4CMRAeVcZroCVqNTglmaoNoilXPZJzx5MoXyOSAS/3VJQFUAHatXN1G+bVjVitmmu/6+D0gTjSUzI8tluyrSz+YaVHsLVr5X7FQnSdXsuRbccpG523vELrns349a3Z4KULUZZlRJ2Oxl1ivBo/f/rYt6z/c0vu8vNv7/7JmlmbmLT9Qwx+Bhp0qEuDDnWJP5rA/nWHCQ4Lovm9jdDp1SXEkooabKn4TJDBmHtj85VQPz+WDBrKlrPxnLqURo3SZWgSWc7nYEkQBNpFVXIzsy4sB84nM3LRfDKsVgRcGbavu99Hm4pq2r2k0K9OPRbFHvHoRtUAGo0mV9bDIcs4HA5eXrmUTY89gUYQ6FS5CpN79OTjTes5fSmNqOBgXmzVls6VXUsyRq2OFuUrsOVsvNtyok6jQSeKijZE5QICKeNnAiC8YhkadqrH7lUH3IKuK1pL1RpVVrMKBSEiAvbsgZkz4dlnXRpbZrNLY8tkgokTYcCAQutsXcFucyAodBIC2BSC54jK4Yha0aODUHbKlClfKt/xKtQox6DX+vDbu396Dc5tZhtTX/+ddn1aeLwWfzSBtbM3YbP8d6zNYifxZDLr5myh8+D/gs+KNcvflhpZtyPqY73KDUcQBFpVjGJQ/QY0LVe+WG5IZrudh+fNISkrixy7nWy7nTSLhZEL53u1YFK5+TQtV54nmjTHIIqYtDr8dTr8dXpKm/w99NMAMq1WN6us9tGVWPTQEA48NZrFg4blBlpX+LhLN8r6B+Cv06HTaDDpdNQoXYZFDw0h3OSP8bKn55XXPup6j9v39Y1ZY2jbpwU6gxadQUdYhdL8b9YYqjeuogZahUEQ4KGH4MwZeOEFCAlx/RsXd12CpldTtWElxaJxg0nvFrhc4f6n7kGrd884aUQNpcuXok6rGj6NOei1PgSH5e0qkngymQsJqR7bD26KRSN63pot2VZ2rfLsrlO5NVAzWyq3FBdyctgYfwY/rZb20ZUwan1Lm684edzDQBxcy4rzjhxiZJNmRT1VlUIyukUr+tapy8b4OPx1OjpWqkLfOX+QkuMZFEuyXCBT9cjAQP4dNpx/T58kLj2d2mFhtK4QhSAILB/yKLMP7mdrwlmqhobycExDKgS5t4j7+Rt57bfnMGc/gSXLQkh4sBpkFQX+/i67nvfeK/JTi6LI678/z5u9PsYpSditDvwCjFSJiabHyK4knkxm+9I9GP0NtOnVjArVIxn/58t88shEzFkWnJKTqg0r8eacF33+rBNPJpN50buHKIBTcjK02rN0GtSWF75/ItdCplRECIJCeYNOryW8oveGJJWSjRpsqdwyTN29k082rb9cZyUgCPDj/b1pXj5/E971Z84o+vpZJUnxJq5SvJQLDKJfnf/0kB5p0MhD7FYUBGLKRhBmKpiHnk4Uubuqpw5RkMHAiMZNGdE4f484P3/j7Wmfc5vSuEsMv8R+zYppa0hNuEjjrg1o0aMx08bPZu7nC0EQEEUN34z6kbf+eplm9zRkZsL3JBxLxC/ASJnyBRPAFDRCvtYIslPGbrWzZtZGoutUoN+LLu/LJl1jMAUasWRb3GRGRK1I9+GdCvzeVUoG6jKiyi3BwfPJfLp5A1ZJIttuJ9tuI8tmY/iCeVgc+XeHbUnYJNeVAAAgAElEQVSI8/pa6wpRRTlVlRtA3zr16FWrTq7tj0mno3JoKSZ2v6+4p6Zyi1CmXCkeGteHUd+MoPUDzTi8OZY/v/zHpYdltmHOsmDJtjLhwU+x5FjRaDRUrFm+wIEWQESlcMLzKaS/gjXHxryvF+f+LGpFPlszgeg6FTD46TEGGAktG8yEv8f67H2oUvJQM1sqtwRzDx/EpmB5AbD2zGnuUchUXE2q2dN77ArpVis2ScpXQFWl+NAIAu916srTzVqwPzmZiIAAGpSNUJfwiohNC7Yz76t/SE/NpE2v5jz4/H0EhBQsY3irseyXNdjMnl2HgkZg14p9tO5Z+NICQRD43+wxvNhxPA6bA5vFjlYvYjPbFDW4stPdr0/lq0Xyw77PSTzpMp2Oql3eQw9M5dZCDbZUbgmybTacinl5GbM9fx/FaqVKc+C8slfW//5dwQcb1jK770CiL+s2qZRMygcGUT4w78JjlYIxbcJs5ny6IFdm4GxsIiunrWPynk/wDzIV8+xuHA67QzHwkWXXa9dL5XpR/B43mY3ztpF67iJ1WtXgs8cnc/boObf9BI1Ak671Fc8RWaXsdc9DpWSghsoqtwTdqtVQVCy3O520jcpfumFcm/a5nWbXkm23k2rOYfTSRdc9TxWVW4n0CxnM/HC+m52Q3WInLfkS/3y/shhnduPpOKCNm/3OFSSHROMuMYU6Z8bFTKZNmM2zrV5jQt9POb7rJJ0Ht6P/yz2p17Y2Y75/EoPJgKh13Xp1Bi3+wSZGfPjwdb0XlZKPGmyp3BJ0rFSZNhWjcgMuURAwarW83LodZUz5P323rhjFT/f3JiY8AqWFJ6csczT1glosr3JHEbvjBHoFvz2r2cb2JbuLYUY3j+bdG9G6ZzOM/gYEAbQ6EYOfnucnjyzUEmr6hQxGNniJmR/O58jWY2yct5Vx3d5jydRVufvUb1ebybs+pvvwzsR0qMODL9zHjwe+oFzViKJ8ayolEHUZUeWWQCMIfNejJ2tOn2LJ8aP46/T0rVOPeuHuafaUnGy+2LKRNadOoRM19K9bn+GNmmDU6mhVMYr5AwfT/ucfOJvpqSgtAOcyMjiXmUm10FIFkhRQUbkVCQkP9hDvBNfSVljFgheG30oIgsC46aM5sOEImxZsxxToR+fB7Qod+Mz9fCEZFzJyLYFkGaw5Vr574Rc6D2qH3ui6nlSoUY7nvhtZZO9D5dZAkAtgXXGzadq0qbxjx47inobKLcKZS5e497dfMF8j8VAxKJjFg4bmBk+fblrPT7t3Yr1mPz+tFqcsoxNFHE4nzzZryVPNPBWeVVRuF2RZ5vH6Y4g/eg6n9J9orMGk5/O1bysaIqsoMzLmRU4d8Ox6NgX58cmq8erv8g5BEISdsix76Meoy4gqxcLpS2n8uncXsw/uJ91iKZJzvrNutUegBXA2I53f9+/N/fnJpi2IDgnNXZI0ilpEQcDudGKVJLJsNiwOBxO3b2HxsdgimZuKSklEEAQ+XPYG1RpVwuCnxxTohynIjxe+f1INDgpISNlgxe0Ou0RQ6cCbPBuVkoaa2VK56bgyS7sAGVGjQZZlJt37AB0rVb6u89ae9KVHtuoK9cPL8vfA/4pQ7ZLEipMn2JWYQCmjH19t24xdwQ7GX6eje7UaPNqoCbXLhJFhtaARNASoS4wqtxnnTiSRmZZNlZio28LQOOn0eWZ+OJ+DG49QrloEA8b2ok5L3+x2CsPWxbt4p//nbibWolakZrOqfLWx6JXxVUom3jJbarClclPZfu4sj8z/08No2KTTsW3EU4odh77S+PtJXPKSJWsbFc20Xn0VXzt1KY37fp+O2Ys4qigIiBoNEQEBnMt0WXA0K1eeT7t2JzKw6J5YLQ47C2OPsi3hLJWCQ+hftz5h/re31pGKyo3g7LFEnmk2FmuODckhIQig99Mzbvpo2va+MaUBsizz3kNfsG7OFhBcxumV60fx/pLXCQ1Xznqp3H7c0GVEQRC6CYJwVBCE44IgjFN43SAIwqzLr28VBKFSUYyrcuvx1+FDih6FGgTWx52+rnMPrd9QsdNQFASGNWjk9biKQcEY8hA0lWQZmyQRl56Ow+nE4XSyLeEs/eb8oWiOXBguWcx0++1XJqxZzZ+HDzJx+xY6TfuJvUmJRXJ+FZU7iamv/445y5Jb/O8qVrfxweCv6B85gpENXmTljHVcm2xIOZvKpOem8mSjl5nw4Kcc3nrM49ypiWl88PBXPBA0hD5lHuXb53/GnG3h2+d/Zus/u5BlGdkpIwiQkZqp2O2pcudx3cGWIAgiMAnoDtQBHhIEoc41uw0H0mRZrgZ8AXx0veOq3Jo4nN6kSWUc0vUFLs80b0mH6Epu2wRgRKOmdK7svf5Eq9EwvmMn/LzocCkhyTLpVitrz5wq5Gzd+WbrFhIzM8m5nF27Yks0ZvkSjxuCiooKnNp/hhXT13Jw01G3vxFzlpldK/e5+QpewWaxk5aczqn9cXz11PfMeGdu7muJp5IZ2eBFFk5ezom9p9k4fysvd36L9X9tzd3HkmNlVPNxrJ29CXOWhcyLWSyasoIXO47nn+9XuOmVOewS6SkZLPlxFSoqRSH90Bw4LsvySQBBEGYCPYFDV+3TE3jr8v/nAhMFQRBk9S5yx3F/jVosORabG1RcweGUaRedvzhpXuhEkak9H+T0pTSWHI/FpNVxb42aPhkV96xZm3KBgUzZsZ2N8We81n65z1nibEb6dc35CktOxCrWjJ3LzCAlJ5tw/4AiGUdF5VYi61I2P46bwZpZm5CdMm0fbEG/l+7nzQc+IunUeRAEtDotFWpG8umqt1j52zqmvvo7Nmv+fqmWbCt/fDCPKjHRVK4fxbQJc8jJMOd2ZV7Jhn3zzA+06dUMjUbDv39sIOtSNpLjv79Vu9XOmYPxaETP3IXVbGPXyn30HXN/0f1SVG5JiiLYKg/EX/XzWeDaRfHcfWRZdgiCkA6UBi4UwfgqtxDtoqLpXr06i48dw+Kwo9VoEAUN73XuSpDBWCRjVAoJ5ammBa/LaFauAs0eqMC8w4d4498VHnVl1yJqNNQJCy/sNN3w5svolGXVs1HljkSSJF5o/z8SYhOx21x/i6tmrGPFr2v+s9mRZexWO6cPxPNSp/GcjU3C7kOgdQW71c77g750ncopu8lfXCEnw0xKfCplo8OI3XHCLXuVex6bA6UaBo2oIaJS0VwjVG5tSpyoqSAII4GRAFFRUcU8G5WiRhAEPu7SjYH1Ylh18gQmnZ6eNWtTMbjkFJD2qlWbwxfO8+ve3UiyjPPylV2A3CVQgyhSu0wYTSPLF8mYD9VrwFdbN7nVs4mCQMOISEKMfkUyhopKUXHm8FkWfLuMlPgLNLunIV2GdsDPv2gelq6wc/k+kk+n5AZagFtG6Wpkp8yp/fGKrwHuf7zXYLPY/9tHAafTSUCIy6Uiqk4FDCY91hybx/hKx+sMWnqO6uZ9Xip3DEVRIJ8AVLzq5wqXtynuIwiCFggGUpVOJsvy97IsN5VluWlYWFgRTE+lpCEIAk0iy/NKm/aMat6yRAVa4JrfY42aoNOIuYEWuK6lWo2GcH9/hjdqwvTefREEL1foAvJYw8a0qRiNUavFT6vFX6ejXGAQX97To0jOr6JSVGz6ezvPNBvLosnL2bxgB1Nens5TjV8hO903q6tTB+L468t/WP7rGrIzcrzud3Lfmf8CoevA6G9g5MdD8t9RIRjTGbS0vL8p/sGuUoSuQzrkKsErHS8ILvV9o7+BkLAg3pg5hug6FZX3V7mjKIrM1naguiAIlXEFVQOBQdfsswAYBmwG+gKr1XotlbywOOz8dfj/7N11eFNn+8Dx70lOpKkiBQrF3d1dBmPDbdjYYIwZ7Df3jZdt8DJ3gXfO2IDBNmS4u7tradHSFmpJkxz5/RHoCElKWyqwPZ/r4gKSnHOepJI7z3M/932QFadOUNwWzPB6Dah7Q2ue/DRtzy6cqvcyogaYDQZ+7DOA6sWKBzz2YloahxMuUTY8nEpFimbreiajkf/17MOhhEvsu3iB0qFhtCpbDkMeBXOCkBdUReX9UV94zew47U4uxSXw+ycLuf+NgQGP1XWdjx6Zwsrp69A0DaPJyOfjvmXiX69Qt21N3wMk8mxzSM/HujHr/blcuejbpsvrkhKYLCZks4ziUqjfvjbPfft45v0hEcF8suFtJt//GUe3n/A5XtehWFQE760YT+kqpTCKFADhqlsOtq7mYI0FlgBG4Dtd1w9IkvQmsF3X9XnAt8A0SZKOA0l4AjJB8MvhdtN31i/EJV/BoSgYJIn5Rw/zZofODKhVJ0+vpek6lx0OQsxmLNftRlxw7Aiqn1/0Rkni5OUkv8GWqmm8unIZc48cwmw04tY0GpSKYsq9vQm1WLI1nprFI6lZXMzoCrenmANxKH56Kboy3KydvSnLYGvTvO2s+nU9TocnULvWQ3B833eZdf5/yKa/f/62LdnNz2/+5jeHKicsNguPvD8Cq83Cfc/34fvXf8XlCDxbVq5WWT5Z/xanD52leJmilCjr+3NetnoZJv71MkPKPori8s3rDAoNomz1vEkvEP458qTOlq7rC3Vdr6bremVd1ydeve2Nq4EWuq5n6Lo+UNf1KrquN7u2c1H4ZziRlMgv+/aw8NhRnDdJKs+OGQf2Ens10AJPQJShKIxfvRKH+9aXFa5ZcPQILb79mtbfT6XhlC8Yv3oFLlXlkj09s3jpjTIUJeCs1g97djL/6GGcqkrq1ZY/O8+f47VVy/NszELec6kqK0+dZN6RQ8SnpxX2cG5rttCggHlTtjBblscu+m6F3+Ry1a1yYOMRr9s+H/uNT14UQEiRYJ6e+gihRYKRzTKSQfKfayVB6SqlmLjgZbqP7kx8XAJ3j+pEy55NMQeZsQR7f/gxygaswRae+noMweHB1GpRzW+gdU1EZDg1mlXx2YFosZnp+WjXLF6FO1PC2UTeHPg+99qG0jN0OB+M/oq0K9lbNhY8brsEeeHOoes6r6zwzOQgeWZ9ZIOB6f0G3dIuvUXHjvotfGo0SOy9eIHm0b45EKqmceJyEkGyKVs5YBvjYnlx+WKvHYe/HdyPS1XpWrkKQbKJNLfvL/swizXg0uAPu3f57GB0qSqLj3t2Xlpl3+KGyRkZXExPo2xYOEG3UD1fyJ398RcZ8edsFFVDR8etaTzepDlPNm9Z2EO7LUVVKknZ6qU5tS/Wa9bJGmyh77juWR4bKEhD8r4vw+7kQswlvw91OxXuGd2Fbg92ZMvCnWycu42zx85zeOsxVEVD13QsNjMRkeF8uHoCC6YuZ3y/d1GcCrqu03FIGz7fPIlT++OwBls4sOEwBzcfo2LtsvR7ugfRVaOy/Vq8+utTPNP+DRIvXEFTNHRdp2HnuvR+4p+VEJ9hdzK2xStcvnAl82u+4ue1HN1+gq92vovBIFosZ4cItoRcW3jsKPOOHibjhtymh+f/wfqRY3KdPB4eYPedput+l+PWxcbwzJJFOBQ3mq5TITyCr3v0plx4RMBrfLZ1k09glKEo/Hn4IP1q1PS7hCgBnSoG7t+Y5vINzjw8M3PXB1tOReHVlcv469gR5KuJ+I83bcbjTZrnWdK9kDVV0xg593efFk9TdmylWZloWvgJ6v9p7KkOEs8lEVm2OFZb9pa6J/zxAi90mcDl+GQkScLtUrhndGfaD2qV5XF33d+efWsP+p3dqtOmRua/TRYZk8Xk1WPwmrBinnpzG/7cyrsPfo7iUlAV7WoTbRtVGlWk+T2NQIL7q4zFfUOC/aoZ61EVlRd/HAdAq15Ns/Wc/SkaVYRqTSqzcd52FLeCySyza8U+di7fS9O7A3esuNOsmbWR9CvpXsG126Vw/uRFdq86QKPOdQtxdHcOEZIKufbL/j1++wkmO50cuBSf6/OOqNfAp5q7BETagn3ymeKSk3l0wVwSHXbsbjcZisLRpESGzJmFmkUrnbhk/8VIjQYDxWzBlI+IQL4h6LHIMg819Gl5lal1Of8J7WXCwgi/oYbYW2tXeZZdVZV0twuH4ubLbVv44/BBn+OF/LH93Fm/y94OReHX/XsKYUQFR1VUPh37DQNLPsQTTV9iQImH+PE/s7KVkF6yfCQ/HP2MSQtf5blvH+enY5/x2Ecjb/ohod3AFjTsXBfr1SU8k8WEJcjMK9P/D7Pl7w8iRqORe8d0wRLkvevPYrMw8LleuJxuPhj91dW+h56fcafDhdPupPk9jahUrzzfvfKrT6AF4HK4WTNrU7Z3TmZlwx9b2fLXTs91dM+sm9Pu4u3BH2WrqOqd4viuU34DZMWtcvpAFuU2BC9iZkvINVeAKusGJNzZqMAeSNvyFXisSTO+2LYFk8GIjk6ENYjvevfz+YU+48Ben/6Emq6T4nSy6Uwcbcr5r0pfr2QpLqSneZV2uKZMaBg/9u7PE4vms+/iBYwGAxajzH8730WNLJLXX2zVjg2xsTgUNy5VzVxW7VC+Ir/u38tdlasQaQvGqSjMOXTAp0q9Q1H4avtW+tWsnd2XSrgFdsUdsLZS4FnKf4bvX/uVpT+sulpawRMYzH5/HpYgEzEHzrBp3jZkk8xdI9rxwJuDfWpoSZJEndY1/Jz5bwnnkjh3/AJlqkZRLKoIRqORCX+8wN41B9m2ZDdhxULoNLQtxUv7LsuPnjyMtMvprJ65Adks43Yq9Hy8K33GdufQ5qN+r+d0uFg9cwM7l+/1Oyt2jdFk5PLF5MxyDrm19KfVfoMQgP3rD/9jZnwq1i2PNdji81xls5GyNcRGgOwSwZaQa32q1+TgpXif5TijQaLOLZZpGNusJUPq1GfXhXNEWINoFFXa76zRudQUv21udHQupQf+9PpUi1asjY3B4XZnltcJkmXGNWuBRZaJlGVmDRjMhbRUTl5OItIWTOWixbIcc9nwcJYOf5Cf9uxi+3nPrMnBhEv8un8vBknirbWreadLV9qUKx+oviIJ9sB1h4S81bR0tN9G4kGyTI+qWQcSee30wTh+mvAbh7ccI6pSSYa+2j/f3qw1TWPuF4t9EtAz7E6+f20GkiRlNnCe9+VSDm05zsfr3sr28rbb5ebdB79g459bMVlMuDLctB/Ukme/eQzZJFO/Q23qd8j6A4XJbOL5759g+OsD+Gzct+xavpc5Hy7gyNbjDHi6Z8BdirbQIBLOJmV5boMkUaL8re/4zer1yEkmgOJWkCQJo3x7lonoOLgV37/2Ky6HC+1qv0nZZKR4mWI06vLPCCgLglhGFHJtYO261ClREtvVxG6zwYhVlvmo272Y8qC+TDGbjS6VqtCkdJmA9abalKuQef3rqZpGw6jAya7VihXntwGDaVe+AuEWC1WLFmNS56480rhZ5mPOpCQzet4fjJr7B31m/kKrb6ewMS42835N1zl4KZ4D8RczZ8gig4N5tlUbJnTozOHEBFyqilNVcSgKTlXhxeVL0HSdCKtvtW0JaJTFmIW8FWI2M6F9J6yynPn9ZZNN1CtZih7VqhfYOE7tO83Y5q+wbs5m4mMT2LP6AG/0nszKGevz5XpupztgsVBN1TIDrWuPPbknhoOb/M8m+fPdq7+yae42XBlu0pPtuJ1u1s3ZzM9vz775wdfRdZ03B33ArhX7UNwquqazf91h3hv1BeYg3595i81Mr8fvpundDTBZ/M8jWGxmHnjrPq9ly9zq9mDHzCXR60mS5JWDFsjZ4+d5rtN/uNc2jHttwxjf910ux+dNr9W8FBQSxGebJ9H4rvoYjAZkk5HWfZvz0do3RXJ8Dki3c23RJk2a6Nu3by/sYQhZUDWN1TGnWBsbQ3FbMP1r1qJ0aFiBXd+pKPSc8TNxyVcyl+WCZBM9qlXjnS653xV0JcNB6++m+szaBckyS4ePJD49jccWzstcbgoxm/nynl40iioNwAcb1/P1jq0+ifZBsswb7ToSbrHyzLJFmbsuDZKEVZaZPXBIlkuVQt47nHCJWQf2cTkjg7sqVaFr5SrIBfgm8mqPSWxbtIsbfxUXKRnOjLNT8/wNTdd1RlQey4WY7OVVWoLMPPL+CHo+1i1bj+8Vdj+OtAyf20OLhvB7wvfZHufBTUd4sevbZKR7n0s2y2iq5jO7VbpKKX448inJCSmMqf8cqUlpXnWwikcX5fGPR9G2X877pvqj6zrvj/qSNb9tRHGpmQHem3NfpGGnrGd87KkO7q/8BKlJaZ5WP4BRNlKqYgm+PfjRbVsMVdM0JEkSm3iyIEnSDl3XfZJ7xTKi4MWlqqialu0yBEaDgc6VKtO5UuV8Hpl/Flnm90FDmbpjGz/v202K04lLVTiX6ln+y24F9xsNnjPTbyNqt6rx456d/Lp/L+nX1fyyu9088OdsNowaQ5jFiqrrfpONdUDRde6uWo2iNhufb9tM7JUrNCgVxbhmLW66VCnkvRrFI3mjfadCu/6hLcd8Ai2AtCt2khNSKVIib9tZSZLE2M9G8dagDzMLjEqShEE2YDAafBLLDbKBMtksiaDresA8JnuKI0fjjDtyDn89dPwVEgVIOJPIlfhkipSMYMru95n9wXy2LtpJ0VJFGPBsT5p2a5Cj69+MJEk8//0T9H3yHnYs20tIhI22A1oQVjT0pseumL4Ol8OVGWiBZ9NC0oXL7Fy+L8/HmlfETFbuiWBLAOCyw8ErK5ey4tRJdF2nVmQJJnfpdkdUMw8xmzlw6SIOtztzOW9jXCx9Z/7C8vtHEhkcOBE2Pj2N73btYMvZM5QPj+DhRk0wGgycunzZ7+MVXWP7ubNoft4cNV3nr2NHGVKnHndXqcqPe3b6LS9x+koSqqbRrEw0P5UZkPsnngvHkxL5387tHE1MoH7JUjzcqCllwgpuJjIn9sdfZPbB/djdbrpXrUb78hX/ke2LipYqQmqibzFVSYLgsPxpQt783sZMXvo60978jTNHz1G1YSX6P9ODN3q/g+J0ZwZ/RtlIsdJFadApe50bJEmiauOKHN3uW7e6ZouqORpjhTrlcvR4yWDg2Q5vcPb4RUKLhjDgmZ5M2f1+vgcIVRpWpErDwCVh/Ik9dCZggdezR8/ftsGWkHsi2BLQdZ1hf/zGiaTEzIThffEXuW/2DFaOeIjitqwrQxe2k5eT2HQmzmt3nw44VYWf9+3m6Rat/R53NiWFnr9OI93twq1p7Iu/yNKTxxnZoFFmu50bGSSJkiEh7I2/6HOfU1FIvJrgXq9kKYbXa8BPe3b57Dr8ed9e0lxuJnXOXaXpI4kJ/LB7J3HJybQsW5bhdRsQ7icH7EZbz55h5Nw5ntnLq/lmvx8+yJyBQ6la7PaaUftm53Y+3LwBl6qi6ToLjx+lbbnyfHFPrywDrj0XL7D93FlKBAdzV6XKfgvJ3m6GvtKPDx/+2msHnSXITNcHOwRuepwH6rSuwTtLXve67ZMNE/lg9Jcc3nIcySDRrHtDnp76aI4ClnGfj+b5zhNwZbjRVA2jbMRsNfHEJ6NyNL5qjStRtVElDm466pVHFojT7iTuyHkAki+l8PNbs0lJTGHMuyNydN2CUKVhRawhVjJuWG41ykYq1stZkCncGcScoMCO8+eITb7iE1y4VZWZB/YW0qiy71hSot8cG5eqsu+ib1B0zYebN5DicmY+72ttgWYe2Od3lxpAuMXC8HoNsMq+n1OsJhPNykRn/v/lNu1pXdb3F2eGovDH4YMkOXK+83DFqRP0nTmd2Qf3s/FMLJ9v3Uy36T9wyX7zukGvr1qOQ1Ey88jcmka6y8XEdatzPI78dMmezgeb1pOhKJkzlXa3m3Wxp1l7OsbvMYqmMWb+nwydM5N3N6zllRVLafXtVI4kJhTgyHOn05A2PDBhEEEhVqwhVkxWE52GtuGxjx7Mk/MnJ6Rw7sQFtCzqzl1TrkYZPlk/kfmp05ifOo03/3wxx8uYNZpV5asd73L3qI5Ua1KZ7g914utd7+V49keSJCYtepXytW9eXPbGtjngCb7mfr4ER5oDXdc5tOUY0978jd8//oukC/5nrrNr5S/rGFXrKfoUeYAXu77FsZ0560DX4b5WhBYJ9tqBaLLIRFcvTb12tW5pbMLtScxsCcQmX/F7u1NVOZ6UWMCjyblKEUX9Bkdmg5GakYGXQdfHnvZbZ8vudtMiuixbzpzxqo5vMRr5fdAwyoWH07xMNJvPnMks6hokyzSOKs3mM7G8sHwxug79a9YmLiXF77XNRiOxyckUDcr+rKGm67y0fKlXKyOnqnLZ4eDLbVsYn0XeUYbi5sRl3y3xOrD13Jlsj6EgbIg9jdFggBtmBO1uN4uOH6VDBd837Zn797Ih7nTmsq0ngHbz2IK5rBgx6rZP6B34bC96P3E38XGJFCkZTvBN+gxmR0piKpOGfszetQcxykaswVaenvpItqqm3+qMWnS10jw95dFbOgeA1WZh8It9+PDhr3yW3QxGA6FFQogsV4yEuESuXPL9WTOajFyMTWDG5D9Z//sWXBkuTGaZ7179hddmPkOLHo1zPKbZH87nh/EzcV4dz87le3mm3RE+3vA2letXyNY5LEEWPt/yX6Y8P41Nc7dhMBroPLwdD00aett/rwq5I2a2BGoWj/SbzB0ky9QvefuXIqharBiNSpXGfMMOHpPRyP31Auc+BFp603SdD+7qzpjGTSkeZMNmMtGtchWWDH+Q8hERSJLElB59eKVtexqUKkXDUlG81rYDqS4XX23fRmxyMnEpyXy1fQsJ9nS/dTNdqkrZsJzNGMQmX8HupxG3W9NYcfJElseaDEZMBv87nMLM2WvTEoiqaayJOcUPu3eyIc5/AJsTFln2+5oZkAg2+Q8CZhzY53dDw4X0NGICfJi43ZitZqKrRuVJoAXwWs/J7FlzALdTISPdyZX4ZCYN/ZgTe2Ly5Py5kXo5jYRzSdmqVH9N7VbV/JaqqFCnLL9d/Iavtr9L9eZV/da2Ut0qp/bFsuGPLfNN1R4AACAASURBVDjtTnRNx5XhxulwMXHIRzgdgYuf+uN2uZk24bfMQOsap8PJj+Nn5uhcRUsV4eVpTzIvZRp/Xv6RcZ89hC00f3L0hMInZrYEakaWoHFUGbadO4vz6kyOUZIINpvpf4dUM/9fzz5MWrfmamV2hcZRZXizY2dKhQTeGfRww8b8Z81Krzdps9FIpwqVKGqz8VSLVjzVwrffW5LDzisrlrEyxrOZoHZkSXTgaGJC5usHnlknSZIwGQy4rpt5s8oy91atTrEc5sKFmC2ouv+loLCb5GwZDQb616zlU7k+SJZ5oEGjHI3jeol2O4NmzyA+PQ23piEbDFQIj+DX/vf57WOZHR3KV8RfaXezbGRALf/fj/56WQJISFm2bfqnOn3oDCf3xqC4vGcH3Rlu5ny0gBd+GFug47l88QqThn3C/nWHkAwGipcpwvPfj6Vq40r8/vEC/pq6HEdaBlUaVuTRD0ZQqV6FzGN/nfyH30r/KYmpmf++//UB7F65z6tQq8VmoceYLqyfs9lvMrrBaGDP6oM06579PoYJZ5P8LsfqOn43BQjCNWJmSwA8wcqoho0oFmQjxGzm3qrVmTd4eK7fMAtakMnEW526cODxJzk27hlmDRx803pVA2rVYXjdBpiNRkLNZixGmSZRZXinS+B6QrquM+z331gVcxJF01B1nb3xF3hz7SocfmadnIpCv5q1qR1ZAgnPzslRDRoxqdNdOX6OxW02GkeV9slPC5JNjMpGwPRauw60K18Bi9FIqNmC2WikZ7UajGkUuN/jzbyxejlxKcmkuz0tiuxuN8cvJzF5w9pcnzPIZOKbnn0INpkJMZkJNpkwG40836ottSJL+D2mb/WafvPowq0WKuey/MedLPFsErLJ9/XQNJ3zJwPnMeYHXdd5pMFz7F65H8Wt4na6OX8ynpe7T+Txpi/y/esziI9NIDUpjV0r9vFY4xdZNWND5vGb5+9AU3wDnJTENC6d8aQ5VG9ahbfnv0yFOmVBgpAiwQx+qQ8Pv3d/wJlWxZ3zlmIRJcLRVP/ni6rk/3tTEEDMbAlXWWSZ51u15flWbQt7KLmi6zq7L5xn+akTBMkmelevSdnwrJfpJEni5bbtebRJM44mJhAVGkq58AivxyQ57FxMT6d8eAQ2k4lt584Sl5Lss5lA03WMBoNP7liQyUSjqNJM6twVXddvOR/j07t7MHLuHE5cTsJoMOBSVQbXqUvfGjdPqrXKJqb06MPZ1BTikpOpXLQokbbc94fTdJ1lJ0/4PGeXqjL/yGEm5iKgvKZ5dFm2Pfwoa07HkKEotClbPsuZwBH1G7LkxDGOJCaQ7nZnVoX/rHuPf2UOTKX65XH7aYZstppomMdtgBxpDtbM2sTF05eo3rQKTbs38CrK+cvEOVy+6FsZ3elwcubIOZ9SWpqq8eHDX9G6bzPMFhO2sCA463tdXdW8Krg36FiH/+390OfnzOQn6ARwOVxsmrctRzNbQcFWuo3qyNIfVt0wi2Zm+OsFW8ZFuLOIYEu44+i6ztwjh5m6YytJDgetypbDpaqsijlJhqIgGwx8uW0Lb3fqkq2mzkWCgmge7b3jKUNx8/yyJSw7eRyTwYimazzetDklgkP8nkPRNEwGAxJ/v3dIeJL076nqaf2SF2/64VYr91arwfe7dpDudtGhfEVGNWyco3OXCQ2jTC6q/CuaxtrTMVxMT6NByVJUK1Y88KxBgOXOnLDKJrpVzl5tJossM3PAYNacjmHr2ThKhYTSq3qNbG9AOH/qIt+8NJ0dy/ZgCwmi1xN3M/DZnrdtv7qbiYgMp/fY7sz/aknmEppRNmILs9H7idx3VrjR6YNxPN3uDdxONxnpToJCrJSpGsWHayYQFOLJP1r4zQr/B+sEzN3SVI1jO05Su1V1+ozrzpTnpnmVxpBNRuq1r+W3gOiNPwu7V+8POP6lP66m7//dS7kcNFR+4uORmC0yC6YsQ1U0woqG8OhHD9L4rvrZPofw7yPa9Qh3nI82b+Sbndsyc60MgL+3dotRZvNDj2SrBtWNnl+2mAVHD/vkNz3WpDlfbd/it43PqAaNWX7qBKeuXEYCKkQU4ZO776VaseI5vn4gTy9ZyNITx/5+7pJEuMXKsvsfzNHOxpyKTb7CfbNnkuZyZeaNtStXgXS3i01n4ryCLqMk0b1KNT7t3gNd1z2B6G3afgTgcnwyD9V6ivRke2YLGIvNTJu+zXlp2pOFPLrc03WdFdPXMfvD+aReTqP5PY0Y9toAikUVybNrPNrweU7ujfGqgG+2muj/dA9GTRwKQL/iI0lN8i3amhWTReaLbe9QsU45NE3jk8f+x7Kf1mCyeFr1RFcrzX8Xv0pE5M03mfQt+iBpV/yXRjFZTDz8znD6PnlPjsYHnmR5R2oGoUVD/pWzp4J/ol2P8I+Q4nQydcdWryAo0ByKbJBYFxtDj2o3bwp7PYfbzfyjh3HdUHrAoSgsOHaYhqVKs+P82cwxGCWJELOFR5o049lWbbiY5nljKRnifxYst86kJLP4+FHv567r2N0upu/bw7hmLfP0etcbu3A+l+zpXkHVutgYRjdswuGESzgUBbvbjc1kIsxs4Z4q1Ri/agV/HT/CZYeDyOBgnmvZhgG1sleJPD8k2u0kOOxUCI/Acl1+17wvF5OR7vTqtee0u1g7ZzOjJg6hRLnbv4uCP5Ik0WV4O7oMb5cv578cn8zpQ2d8Wg25Mtys+HldZrBVt21NNs7d5nd8RpPBJ4kfoES5SCpcra9lMBh4esojDH99AMd2nqRE2eI5qtnV7N5GrPplnd+WSLLJSEhE7pbSTWYTpmK3f9Fc4fYggi3hjnIiKRGz0ehTlT0QYy5adaS6nEh+iw9Agt3O3PuG88mWTfx2cB8uVaVTxcq81LodIWZPWYK8CrLSXC7mHz3MiaQk6pQogcVo9PvcnarKjnPncnUNVdM4mHAJ2WCgRrHifj+hX0hL5VhSos+SoUNRWHziGKsfGM38o4c5lphIhNXKtL27eWrJQlza3+OMT0/njdUrMBmN9K5eM1djza10l4tnly5i9elTmAxGdHSea9mGB+o3ZP7XS5kx+U+//fbMFplT+2ILJdg6ufc0sz+cz5mj56nXriZ9/+/ePJ2RyguS5HeTIODJx1oxfR0NO9dh1MQh7Fy+12tHoMFo4IlPR1GqQgkmDHgf13U9GouUCmfiXy/7fC9GRhcjMjrnnQ4enjyMHUv3kOynDhdAqz43rzsmCLdKBFvCHaVkSIjPjFMgmq7TrlyFHF+juC2YUIsZp937DVgCmkSVwSLLvNC6LS+0zr/NBDFXLtN/1q9kKAoOxTNjFGI24/bz3E0GA5WLeu+423PxAm+tWcmeixcIs1h4sH4jHm/a3Cv43BB3micX/YVLVdHRKWINYmqP3tS8YcefW9UCLpM4VYVgs5nBderhVlVafjeFJIf/hsMZisKHmzYUeLD1/LLFrD59CpeqZn7vvLdxHedm7mHTZysCNjZW3CqlKpXM8fUObz3GpvnbMVvNdBzcmtKVS+Xo+G1LdjOh/3u4M9xoms7xnSdZ+M0Kvtz+DqUqeL42rgwXu1cdwO1006BjbYLDc7/RIbciIsOpULccx3ee8sm9Sku288ljU1EUlQffHMyX29/h57dmc2DjEaIqlmTIK/1odDVRf17yT+xatZ+4Q2eoVL8CddvWRHEpLJiyjPW/bya0aAg9H+uW68rqxcsU48djn/H1Mz+w9Kc1GI0GZLOM0WjkP388n2d1zQQhKyJnS7jjjJz7O5viYr1mTuSryekGScIoGdDR+ax7TzpVrJSrayw8doTnli3OrNZukCSCZBN/3jeUykWL4VJVPtm8kRkH9uJQFFpGl+X1dh2pEJE3sw9D5sxk27mzXrNJssFAmMVCqtPptRsySJZZOPQBykd4dlKeSEqk98zpXgVQg2SZ3tVr8nyrtpxJTcEmy/SaMT2zAv414RYLmx56xKunoK7rtP/xG87cUA3fYjQyumETnm3VBoA1MacYt2gBaW4XgcgGA0fHPp2LVyR3zqem0PaHb3wT+VWdyq/vALv/QMtklqnRvCofrnkz29fSdZ1Pn/iGZT+txuVwY5QNGIwGxn7+EN1Hdc72OYZVeIxLcd6dGwwGiQ5D2vDytCfZs+YA4/u8mxngKG6Vp74ew133t8/2WPPKmaPneLrt6zgzXDjSMnx2FoIn/+2DVROo3rRKts7pynDxVJvXiD18DqfdiSSBOcjCAxMGMfDZXrc0XqfDyd61hzDKRuq2rYHJLJYBE84msvTHNSSdT6JRl/o079HIazepkDMiZ0v4x/isew9eWr6E5adOYJA8VcXf6tCZGpGRrI45RdDViu8R1txXY76nanWK24L5cvsWYpOv0DiqDE80bZ4ZTI1dNJ91p09nFjFdHXOKnefPsfT+kbdUTgE8tbm23xBogWc3YLrLRccKFVkVcwodKBcWzuQu3TIDLYCvtm/FeUMCv0NRmHVgH78fPojZaMThdvvdCaZoOitOnuTeatUzb5MkiY+73cuIP2ejahpOVcVmMlEmNIwxjf9egklxOdH9vdte58bSGrci3eUi1eWkRHCI3+bUqU4n982Z6XfHpORQ0F1awGWw1v2a89TXY3I0nn3rDrF82prMkgCKWwW3yudjv6VVr6aEF7/5DtDLF6/4bTujaTo7l+3Bkebg9V6TcaR6NzD++NGp1GxRjeiqBdvxIbpaaX6O+ZI/P1vENy9N9/sYV4abxd+tzHawtWL6OuKOnMvcfajrnj6HP7w+g7tHdSK0SO6X6S1BFpp2C9xV4t9mx7I9jO/7Hpqq4nYqLP1xDRXrluO9lf/BbBGBaF4SwZZwxwkxm/n8np6kOp2kuJxEhYRmvtk+2CDv8lqalYnObCx96splFhw9gltVqV2ihFegBZ4P9BmKwvS9e/xWnc+JrHY2OVWVnRfOs3DoCIrbggkxm4lNSSbBbqf41TpUBy7F+62oroHXUpo/iqaR6KdBdqOo0qwa8RCzD+3nTEoKzcpE071KNa8WSc3LRPvUH7ueVZZ5MQ/quDncbl5ZsZRFJ44hIRFqMTOhfSe6V63u9bjvd+/kUrr/XWh6sEx6s0hCNvoW+KzapDKv/vJUjse1etZGr/IE1xhlI1sX7crWzFNQiBU0/wFrSJEQNs3f4fc+1a2y7KfVjHxrSM4GnQfSrtiZPvH3gPfrmu6Z9cqm9X9s9VvxXTbL7F9/mJY9c1+EV/ibqqpMGvqJ1/esIy2DE3ti+GvqMvqOy/kOTSEwEWwJd6xQi6VAKtz/vHc3E9etQdU1NE3HaAiUv6Sy5+L5W76eQZI8AVeAJf4kh4M3Vq9gZINGvLxiKXaXG6eqIF3dFVnMFuRV7ysnJInMAPNGkcHBPNakecBjSwSH0LZseVbE+LYtkSWJT7rdy12Vsze7caMd58/y057dJNjTSXI4OHU5KbMFktOu8NyyxZQICaFx1N/1khYeOxJ4I4UkkTiwEha7iml3QubNliAzoycNzdUYjUaD5wW88esmke16XUEhQbTo1YTN83d4FSW12Cz0f+peHKkOvxXMVUUlPUB5g/w29YVpONL85+mBp4xDu4HZ3ykbERmGZJDQbwg6dV0ntEjB56b9U53YHYPb5afrhd3FiunrRLCVx0S7HkHIQnx6GhPXrcapKiiahoaOW9P8zuCYDEaqF8vZzjWnovDLvj3c/8dsxi2az5Yzcew8fw5zgKbR4En833ImjicX/0Wiw4FDVdDw9AdMdmYQl+xbrTs7jJJEUWsQRxIT/CbiZ0eCn1kxALMsey115sTPe3cz4o/ZLDh6mE1n4jiSmODVaxI8y6RfbdsKwCV7Oo//NY9jSYn+TpdJkXQMD9alSMlwkKBMtShem/kMjbrUy9U4uwxvh9nqu/SiKRrN78l+lfJnv3mM2q2rY7aaCA63YbaauGd0Z+4dcxeNu9ZH9/O9Zw220LJX4eyq2zxve5aRfe3WNWjRo3G2z9fj0a4+r6MkQUh4MLVaVQ9wlJBTJrPsE9BeI5YQ856Y2RKELKw8ddJvPhB4ZqCuzwcyGw2MqJ/9fBCnojBw9gxOJCVmFildeeokfarXxBBg9uyaa0uC/rg1DatRpmRICKeTrxBiNmMyGLmc4Tv7UC4sHFXXOJeaiqbrnEtL5dUVy/h5726m9xvktUyYHYEaQgMBq81nJd3lYtL6NZkbFbISm3IFt6oyYNavnE9NydbMnj3YwKzz3+RJK6XqTasw6PnezHznT8BT3kDXdF6e/n852i0YHGbjveXjOXv8PPGxCVSsWy6zeGepCiUY8Fwvfv9oAU67E10Ha4iFxl3q5zpIvFVGU+DvkcZd6zNp4SsYclCCpWbzqox5936mPD8N2WRE13VCIkKYvOS1HJ1HyFqFOuUIjwwjI/2S1+3WYAv3jsl9qy3BPxFsCUIWDJLkt+aWBFQrWoyTVy6jaBp1IksysVMXSuegDc7cI4e8Ai3wzNDMOXwQUxZvKp4iqmaSnb55Lddo6NxfrwEPNmiEQZLYfCaOh+b9jlNVPX0cJQmz0ch/u3Rl1Nw/vAITu+Lm4KVLLDh6OFvtjq7Xv2Ztn+cEEGo256qS/p6LFzAZDNws40eWJJqWjmZlzEmSHHaUbAR2EtCgpCehPK8qgI8YP4guw9uxdeEuzFYTrfs2y1ZivD9lqkRRpop3wnvShct0Gtya+u1rsXzaWlwOFx0Gt6ZV76aFVsW86wPtmf/VUlwZ1y1JSVC9SWX+u+jVXI2r1+N303l4Ow5uOkpwWBA1mlcVgVY2xR05y/mT8VSsWy7LumSSJPHmny/yfOf/4HapaIqKDrTt34KOQ1oX3ID/JUSwJQhZ6FKpMv9Zs9Lndoss80G3e6herDhqLtvRLD1x3CcoAU8/xQcbNOTbXTtQbliyDDaZCLVY6FmtBj/t2RUwJ8lkMFA+IiJzVq5FdFlmDxzCF9u3cDQxgdqRJXmiaXNik5MxGQ04bziNQ3Hz17EjNw22FE0jzeVE1XS2nD1D6ZBQ6pYoxf5LF7FfbQhtlCQ+v6dnwBnCrIRbLFnOlsHVshwmE481acb8o4cDzoIZJSnzXBKe3otPt7y1N5Vti3exYMoyMtIz6Di4DZ2Ht6V05VL0Gdf9ls57o5TEVN6670MObDiCbDJilI2M/fwhOg8t/MbxD741hMNbj3Nidwy6rmMwGihephhvL/AtTJoTwWE2sXMwB+ypDt7o8w6HNx9DNsu4nW46DG7NM/97NGAph0r1yvPrmalsWbCDK/HJ1G1XK7Nyv5C3RLAlCFkoGmTjnc7deGH5YiRJyiyX8GSzltQs7snPMuSyJk3RoCCfpUgAHZ025SowrG4D5h45RKLdTsTV/o7lI4rQpVJl7G4Xcw8f8juLY5QkigQF0b68d0uTmpEl+Lx7T6/bEu12v3n4EhCWxeYDVdP4aPMGftizC6eioOo6FoMRk2zEIEk827INlx12IoND6Fmteq7LcNSKLEHJYM9y6PWvk8lgpGRIMBluhWbR0Tzbsg3RYeHIBqPf5cNgk4lBteuy+UwcF9LSaFCqFM+1akv1W+hb+e3L0/nz80WZO+cObDzK0h9X896K8XnewPqN3u9wZNtxFLeamTj/0ZiviapUklotquXptXLKarPw0dq3OLT5KCf3xlK6SikadKwtZqIK2MePTuXgxiO4nQrOqxX518zaSPma0Qx6vnfA48wWE237tyioYf5riaKmgpANl+zpLD1xHEVT6VShMmXDb94A92b2XLzAkDkzvWZiJDy7+jaMGnPTmaBL9nS+3LaFxcePkup0kaEqSECbcuWZ3LlbwLZBB+IvMvPAPtLdbu6qVJk3Vq3wSWwPkmW+790/4M7Edzas5ac9u/zOzAGEmi1sHf2oVw/C3IpNvsIDf87hkj0doyThUlWebdmG0Y28SwAcS0yk94xpZNww2ycBpUPDWDh0RJ7sXl0zayNTX5hGfGyCz33WECsvfP+Ez5uX2+XmxO4YrMFWyteKztGMz5lj53m0wXOZb6DXSBK06d+CN2Y9m7snIvxjuJxu+oSPwO2nG0Jk2WL8cvrrQhjVv5MoaioItyDSFsywuvXz9Jz1S5bitbYdeHvdamSDAV3XCbNY+bFP/2wtuUXaghnfvhPj23cCIENxIyFlGeD8uGcn72xYh1tVUXWdJSeOUbN4JJqu4VI1kMCtqjzZrGXAQMulqlkGWuCZnVsfe5rOlSr73KdoGp9v3cSPe3aR6nJRO7IEb7TrSOPSZfycyVMIdeWIUeyLv8iVjAwalCpFmMXq87gvt2/22aXoGYunknyjqV9Qv2QpJnfpRpWiOe+xB55A671RX2QWLr1RRloGm+Zv9wq21v2+hQ8e+hJd09E0jWKli/L2/JeIrlY6W9e8fOEKsln2CbZ0HeJP+wZ8wr+PO8MVcAOKPSVwWQ6h4IhgS/jXcyoKa0/HcMWZQcvoskSH3fqsVXYNrVufXtVrsvP8OULNZuqXispVbhPg1WLHn8sOB5PXr/XK87K73RxKuMQ7XboRbrGS4nTSvEw0xWyB+8UlOzNuurNQ13XSA7TteW3lMuZdl1u1L/4iA2fPoHuVqnzQtbvf5yFJEvVKZt1jcH98fMBxaZ5BsevCeQb+9iurHxhNuNU3YLuZb1/5JWCgBZ56WhEl/k6IjztylndGfOp1zLnjF3iu8wSmx3yZrbYoleqV86q5dY3JYqLxXYWzA1G4vQSHBxNVqSRnjng3pDcYJBqJ75HbglhUF/7VDsRfpOV3U3h26SImrFnJXdO+5+21q/y2sskvIWYz7cpXoGFU6VwHWtmx6Uwssp/6XXa3m6UnjtOmXHnuqVoty0ALoKg1COtNlgcdbjff797J/y3+iz0X/i70mmi3M/fIIb9J7EuOH+P/Fv+VzWfjzakoXhX9A9HxFJ/9/fCBXF3n4ulLWd4vm4zcfV0fxL+mLkdxeS9r6rqOPcXOntUHs3XN4PBghr7SD2vw30ugsslISISNvv8nCk8KHs9MfRSrzYJR9rytmywytnAbD08eXsgjE0AEW8K/mKbrPDT/D65kZJDmdmF3u3GqKjP272NVzKnCHl6eCzKZCBTLrYo5Sb2vP2PEn7M5dCk+y/MYDQaea9kGaxazMhqenLQFRw8z9PdZ/HHYE1jEJl8JWLtLA9aejuFc6t+9ARVNQ82iBdA1Ly1fwoXUtJs+DjxtlY4lZl3wNJDIsgGWHyVPfaJnvnmMcjX+Xg5NOJuEqvjfMXolPvvFZ4e9NoAXfhxHrZbVKFO1FD0e7crXu97LrL8lCHXb1uSrXe9x75i7qN+hNgOf7cW3Bz4iqlLJwh6agFhGFP7F9lw4T7rLd0nIrrj5df9eOlWsVAijyj+tossFnDlLu/o6rI89zcDzM/hj0DCqFguc1zSsXgOCZBPPLV+c5TV1PLXDxq9awT1VqlEuPCJwCx3AbDRyNjUFVdN5ZeVSNp+JQ5IkOlaoyNud7vLb5Puyw8Gi40dR9JsHZQA22URZgvhr6jJCi4bQ/N5GWIKylzg/8u0hfDTma69lQZPFRJ8nuzNi/CCsNu/zNOvekC1/7fDp9ae6Veq0qZGta17Ttl9z2vYL3C5JEKKrRjHu89GFPQzBDzGzJfxrOVU14K4wR4B8ozuZRZb5rlc/wswWQkxmbAGWAjMUhc+2brrp+frUrEWoOfu7+44lJVLMZqNXtRoYA7zuLlUlKiSUfrN+YdOZOFRdR9E0VsWcYtBvM/zOcl1Iz3pGy3xdCQJZkjA4FOb1m8JXz/zA+w99xeAyj3Bk+4lsPYfOQ9vy1NdjMme4ikcX5f++fpgx79zvE2gBdBjcmtKVS2EJMmfeZg220POxrpQom7OyE7GHz/LtK9P5fNw37Fy+t0CXugVBuDViZkv412pYKsrvG1aQbKJX9ZqFMKL81yiqNFtGP8r62NOcuJzEp1s3YXd7J19rus7e+As3PZdBkni0cVM+3bopy9kq8LQQulYrbFLnrthMJn7au9vrMUGyTP+atdkQF4vD7fZKdlc0jQR7OmtOx/jMOJYPj/DbqxJANhjoUKES286dwa1p1DdFcGnSCpRUJ9dneD3bcTzNuzekUZd6dB7ezm/gdE2X4e3pMrx9tlr8mC0mPtk4kflfLWHNrE3YwoLo+Vg32vRtluVxN1r07Qq+ePI7FLeKqqgs+WENzbo35NUZT4l6VoJwBxB1toR/tUXHjvDsssUomoaiadhMJmpHlmBa34E57gt4p0lxZtDsm6/99lhsV64CP/Tpf9NzZLjd1J/yecBgBzxFVuuWKMnv9w3zuv14UiIT165m+/mzhFmsjGrYiJENGjN5/Rq+2bXD5zxmo5HnW7XloYa+TY3v+eVHDif4lkEIkmV+6TeI+qU8bW9e6/lftvy1M+BYrcEWikYV4YutkwmJyH4/w/yUejmNwWXGeLfDwTPWl37+P2TZwJlj55FlI2VrlqFO6xqYrWavx+5cvpdvX55O3NHzlK5UkpETh9D8nkYF+TQE4V9B1NkSBD+6V61OzcgS/HZwP4l2Ox0rVqJLxcoY/wWzBWEWK72q1WDBsSNeuwOtsszYZv4rSjvcbk5cTiLSFkzJkBA2nY3DYpRxa77LrrLBgMlgoGJEEb7u4VvBukrRYnzvJ6CrFVkCm8nkM+MmGwwBK75P6ngX982Z6RX0XSsQe33JiBtrVd0oI93JpbgEZr03l1ETh2b52IKyc/k+ZJPsE2xlpDuZPPwTdB2cdk9OmMEgYbaZeeGHcZn5XVsX7eLNAe9nPvcTe2J4a+AHvDjtSZEDJggFRARbwr9ehYgiPN+q8HvMFYa3O91FsNnMzAP7UDSNSFswEzp0oomfAqPf797J+xvXYzRIuFWV5mXK0q9GLb/tcQAaR5XmPx0657glTvcq1Xh/03pcqopyNXgyG42UC4+gVdlyfo9pEFWaHZ0agwAAIABJREFUtzp2YcKaVRgNEqqmUzo0lO969fNa6us8rB2HtxzzSVi/ntupsHb2Zq9gy5XhYvOCHaQmpVG/Yx2iq0YFPD6vmSwyfnqhA5Bhd3L9F0DTdDLSnLxz/6dUafghURVLMvX5n3yCTKfDxdTnfxLBliAUELGMKAgCblXFobgJNVv85iGtPHWScYvme1WNNxmMNI+OZvu5sz51s2wmEx93u4cularkajyX7OlMWreGZSePIwGVixQlNiWZFKeTmsUjeaN9R5qW9q1w73C72Rd/kTCLherFivs8F8Wt8PLdEzm87TgZaRkBr1+lYQW+2vEeAEd3nODFu95CU1VUVUPXdLqN7Mi4z0ffUqPl7HI6nAws9TCO1OxXApfNRoa83I8R4wdxt/k+VMX/Mu8SZabI+RKEPBRoGVH8lAmCgMloJMxiDRg8TNmx1ac9j1tT2Xr2DK+2aY9VljEZDEh4Sit0rFCRThV9W/VkV6QtmI+63cP+x57kvtp1OZaUyJUMT+X6A5fieeDPORz0Uw8syGSiWZloahSP9PtcZJPM5KWv8eovT9Hz8W4UK10Eg9H716DFZqH3E90B0DSN13tNJu1KOvbUDJx2F64MN8t+WsPGudty/fxywhJk4c0/XyAoxEpQqBVrsAWTRUYyBA70FJdKcoKnXlnRqKJ+HxMeGSYCLUEoIOInTRCEm4pPT/d7u8lgoGmZaJYMe5CxzVrwUMPGfNurL5/e3SNPquGnOp1M37fHJ9BzZrM8hT9Go5EWPRrz5Oej+XTjREqWjyQo1EpQaBBmq4kO97Wi64MdADiy7QQOPzNgGelO/vrfslxdP6dUVaVWq+rMPDeVp6c8ymMfjeSHo59RvWmVgMuL1hArzbp7EuDvHz8Ayw27Ky02C8NevfkGCEEQ8obI2RIEwcel9HQOXIqnZEgINYtH0rpsec6mpmTmUF0jSRIVIopgNhoZ16xlno/jXFoqssHoU1pCBw752X2YUyXKRTJ17/usm7MZt0ulYcc6XhW33U53wNk+l8O3X2Fesqc6+GzsN6yeuRFNUancsCLPTH2UKg0rAvD890/wVJvXsKc4vKrUW2xmarWoRtO7GwBw98hOOO1OfvrPbzjSMrDYzAx9pT99xnXP1/ELgvA3EWwJgpBJ13XeXrea6fv2YDEaUTSNykWKMrlLNxYeP0Kay5UZcAXJMq+26ZCvJTJKh4SiaL6lKSSgRg4T72+k6zqz3pvLz2/NRpIkFLdK52FtefLL0ZjMnmbYNZpX9XusxWah09C2bFu8i8XfrcTtUug8tC1t+jfPVnPp7Hj13kkc2XYcxeWZ1Tu24yTPtH+Dbw9+TGR0McrVKMO0k1+w/Oe17Fiyh0tnEwktGsJd97en05A2mUuEkiTRZ+w99Hr8btKT7djCgvJsjIIgZI9IkBcEIdPvhw7w+qrlXst2ssFAs9LRvN/1bqbs2MaGuNNEhYQxpnETWpctn+9jmrBmJbMO7PMaU5AsM3PAYOqUyH3ft2XT1vDpY//z7Oi7yhJkpuvIjjx5XcuTjfO2MWnIx6iqhuJSsIZYqd6kMhVql2XJD6sydzZagy007FyXCX+8cMuJ8yf3nubJVq9mlnS4xmSW6f9MDx6aNCzAkYIgFCZRZ0sQhJv6bvcOn/woRdPYfv4sssHI+PadCnxMr7XtQLGgIL7dtYPka7sR23W8pUAL4Nf//uEVaIGnJMKS71fx6AcPYLZ4Zrda9WrKNwc+YumPq7kSn0zTuxtSpkopHmvyIq7rSipkpDvZtWI/u1ftp2Gnurc0trPHzmOUfVNq3S6FU/tib+ncgiAUPBFsCYKQKSXDf/0poySR5nJS3GYr4BGB0WBgbLOWjG3WMlstcrLr8sUrfm/XNQ1HqiMz2AIoVaEEI8YPyvz/3C8Wg58KYxnpGWxZuPOWg62KdcuhuH2XT81WU8ClTUEQbl9iN6IgCJk6VaqMyU85gGCzmXLhEYUwIm95WdeqRjP/QUto0VDCioVmeWxwuM1v3pNslgktcuttfqKrlabxXfW8GlhLBgmLzUKPR+665fMLglCwRLAlCEKmJ5o2p4g1CMvVQMIoSVhlmf927ponpRxuJw+/MxxrsNWrXpXFZubxj0feNKhr1bup37ILRqOBLsPb58n4Xp/1DP2f6UF4ZBhWm4WWPZvwxdbJRESG58n5BUEoOCJBXhAEL8kZGfy8bzeb4uIoGx7Ogw0a5bjlzp3i9ME4fprwG0e2HieqckmGvzaA+h1qZ+vYfesO8Uafd9BUz+5MTdV44YextO3vv6+kIAj/fIES5EWwJQhCnnAqCh9u2sCMA/vIUNw0LRPNf9p3okrRYoU9tHyjuBX2rj2E6lao264W1huKhwqC8O+SL8GWJElFgZlABSAGGKTr+mU/j1OBfVf/G6vreq/snF8EW4Jw5xiz4E/WnY7JLEAqASFmM0uHj6RkSEjhDk4QhBw5vusUWxbuJCjYSrtBLSle2n/bJ8FbfvVGfAlYoet6VWDF1f/749B1vcHVP9kKtARBuHPEXLnMutOnvSq964BTUflp767CG5ggCDmi6zqfPvE/nmr7Gj/9ZxbfvjKdB6qMY81vuWuPJXjcarDVG/jx6r9/BPrc4vkE4Y6n6xq6axt6xmJ09UJhD6dAHE9KxGz0/XXi0lT2XbyYL9dMtNs5feUK2m2cCiEIOaXrOvs3HObH8TOZ89ECki74LBblq92r9rPspzU47S40VcOV4caV4eK9kZ+TnmIv0LH8k9xqna2Suq6fv/rvC0CgKoNWSZK2AwowWdf1P2/xuoJwW9KVM+iXR4CWBBhAd6HbhiCFvpKnZQtuN5WKFMV9Q99EAJPBSK3IEnl6rUS7naeW/MW2c2cxShLBZjP/7dyVzhUr5+l1BKGgaZrGxMEfs3XRTjLsTswWE9+/9itvzH6OZt0bFsgYVk5fl9kV4XpGo5EdS/fQbkDe90D9N7jpzJYkScslSdrv50/v6x+ne5K/An3ELH91DXMo8LEkSQF/K0qSNEaSpO2SJG2/dOlSTp6LIBQ6/crjoJ4D3Q56GuAC+yzIWFTYQ8tXlYoUpVnp6MySEdeYjUZG1G+Qp9caNe93tpw9g0tVcSgKCXY74xYt4EjirTemFoTCtG7OFk+gle4EHVwZbpwOFxOHfITLmb+NzzMZJAJ9Lvwnf2DMbzcNtnRd76Lreh0/f+YCFyVJigK4+nd8gHOcvfr3SWA1EDBE13V9qq7rTXRdbxIZGZmLpyQIhUNXToMSA9w4w+NAt08rhBEVrK979GJgrTpYZRkJaBRVmlkD7qN0aFieXeNwwiWOJyVmNsO+xq2q/LB7Z55dRxAKw7KfVvudVQLYv/5wgYyhy7B2WPzsqlVVlcZd6xfIGP6JbnUZcR7wADD56t9zb3yAJElFALuu605JkooDrYF3b/G6gnD70dNBMvqf39VTC3w4Bc0qm3izYxcmdOiMDvlSBPVCWhqynwr3qq4Tm+y//Y4g3CkMfvIeM+8zFMysUr32tej+UGcW/m85iqJilD2z1S9NexJbaFCBjOGf6FaDrcnALEmSHgJOA4MAJElqAjyq6/pooCYwRZIkDc9M2mRd1w/e4nUF4fYjV8P/j5QFrN0LejSFRpIkf8XV80TtEiW8djxeY5VlWpUtl09XFYSCcffITuxasc9ndstgMFCnTY0CGYMkSTz+8Ui6j+7M1oW7sAZbaDegBUVKFn67rjvZLQVbuq4nAp393L4dGH313xuBW+vKKgh3AEmSIfy/6FeeAdyACgSBsRSS7YFCHt0/Q6QtmGF16zNj/14cigKAbDAQarYwrK5Y4hDubC17NaH9oFasnrkB1a0imz1v0ePnPIdsutW5kZypWKccFeuIDzB5RVSQF4Q8pivH0dN/Be08mNsi2fogSWL6Pa/ous7vhw/y3a4dpDiddKpYibHNWhBpu/UG0IJwOzixJ4ady/YSHBFM2/7NCS0iigLfKUS7HkEQBEEQhHyUXxXkBUEQBEEQhCyIYEsQBEEQBCEfiWBLEARBEAQhH4lgSxAEQRAEIR+JYEsQBEEQBCEfiWBLEARBEAQhH4lgSxAEQRAEIR+JYEsQBEEQBCEfiWBLEARBEAQhH4lgSxAEQRAEIR+JYEsQBEEQBCEfiWBLEARBEAQhH4lgSxAEQRAEIR+JYEsQBEEQBCEfiWBLEARBEAQhH4lgSxAEQRAEIR+JYEsQBEEQ7hCKWyHD7izsYQg5JBf2AARBEARByJojzcFn475l9YwNqIpGuZpleHrKI9RqWb2whyZkg5jZEgRBEITb3Pi+77F6xkbcTgVN1YjZH8eLXd/i3IkLhT00IRtEsCUIgiAIt7EzR89xcOMR3E631+1ul8Ifny4spFEJOSGCLUEQBEG4jZ07cRHZ7Jv1o7pVTu2LLYQRCTklgq1/AF13oKsX0HW1sIciCIIg5LEKtaNx3TCrBWCymKjVslohjEjIKRFs3cF03YWW/Br6xWbol7qix7dAs88p7GEJgiAIeahEuUja9muOxWbOvE0ySFiCzPQe270QRyZklwi27mB6yn/AMQ9wAhmgJ0PKBHTnmkIemSAIgpCXXvhhLENe7kfRqCJYQ6y06NGYz7b8l2JRRQp7aEI2SLquF/YYAmrSpIm+ffv2wh7GbUnX0tDjW+IJtG5grIQU8QmSSWwJFgRBEISCIknSDl3Xm9x4u5jZulNpSQT88qmn0BMHoSX0Q9eSCnRYgiAIgiB4E8HWncpYCiRjgDt1wAHKYfQrzxbkqARBEARBuIEItu5QkmSGkGeAoCwepYBrm5jdEgRBEIRCJIKtO5gheDhSxHsg1ybwl9IAWlpBDksQBEEQhOuIYOsOJ1m7Yij+BwQNxm+rS0MoGKMLfFyCIAiCEIimaezfcJhti3eRnmIv7OHkO9GI+h9CCnkC3bkUtFT+n73zDo+juvrwe2a7VsUqNiY0g+mmY2owvRkILRDTewmhB/jAhBpKIAkQeg2dUEN3ANN7szHNVIPp7lbX9jnfH3clS9pZaVfd+L7Po8fW7Oy9Z1crzZlTfsd0KPqAAFJxCSLWp7ZYLBbL0GDmpz8wcfwltDS0IOKQSaU57l+HsevROwy2af2GdbZ+JYhvONT8D225HxJvg385pOQwJLDKYJtmsVgsFgsAmUyGM3e8iNrZdR2O33jqnay64WhW2WClQbKsf7Ehj18R4gzDKT0Op/punIpLrKNlsVgsliHFx69+Rrw5Vx8yFU/x9M3PD4JFA4N1tiwWi8VisQwITXUtiMdx11Xq5zcMuD0DhXW2LBaLxWKxDAhrj1uddCqdczwcDfHbPTceBIsGButsWSwWi8ViGRCGDa/g4PP3JVQSQrIhrnBJiFFjlmPrCZsPrnH9iC2Qt1gsFovFMmDsd+ZerLHpqjx902Sa6prZat/N2fbAcQSCgcE2rd+wzpbFYrFYLJYBZd2txrDuVmMG24wBw6YRLRaLxWKxWPoR62xZLBaLxWKx9CPW2bJYLBaLxWLpR6yzZbFYLBaLxdKPWGfLYrFYLBaLpR+xzpbFYrFYLBZLP2KlHyxdoukfIPE8IBDaAfEvN9gmWSwWi8WyWGGdLUte3ObbofEqwAUEGq9Cy87AiR4y2KZZLBaLxbLYYNOIFk80/V3W0UoAKSBp/t/4DzT906DaZrFYLBbL4oR1tizexJ/HRLQ6o9m0osVisVgslkKwaURLHjT7le8xi6V/ULcJUtNAyiCwLtI6rdZisVgWU6yzZfEmvAM0XQukOz1gCuXbo24jpD4DXw3iHz1gJvYHmpqOxl8ACSLhXRD/CoNt0hKF23wfNF4GEgAUpAKqbkf8Kw22aZYlmFQyhT/gt46/pcfYNKLFE/GvCKUnAyEgkP0KQdlpHToS3aYb0bmbo3V/QufvhTv/92hmwSBZ3Tvchr+hC/aH5huh6Vp0/m64zfcPtllLDJqcBo2XAwnQJtBmcGehCw9H1SulbbH0L+88PZWDRx/PrpED2bPyUO7560O4rv0sWorHRrYseXFKj0LD25v6LREI7Yj4l297XOMvQvNNmItjwhxMf47WnYBUL15OiiY/gpYHgHj2iAukofFSNLw94hs+iNYtGWjLfzANGR2OgtZD6kMIbpD7HLfZPEcqbdTB0qd89Op0Lp5wJYlYEoCWhhgP/v1J4s0Jjr784EG2zrK40avIlojsKyLTRcQVkbFdnLeziHwpIjNE5Kze7GkZWMQ/Cik9Goke1cHRAtDmO0BjnZ6RhtSnaOaXgTOyD9D4MyxytNohDiReGWhzlkzchXjXAzrg1nc4om49bu3x6NyN0bnj0Pk7oMn3B8RMy5LB3Rc81OZotZJoSfDEdc+SiHW+KbBYuqa3acRPgb2B1/KdICI+4HpgPLAmsL+IrNnLfS1DAXeh93Hxg1s3sLb0FvEBHpERFcA30NYsmYR2BCK5xzWVE9XS2qOyTnDKfGV+QBcehaa/HwBDLUsCP301y/O4OELtnHrPxyyWfPTK2VLVz1X1y25O2xiYoarfqmoSeADYozf7WoYI4a2BoMcDAv6VB9iY3iHhXfF+LRkIbzPQ5iyRSMme4B/FIodLgDCU/RlxKtrO09QXkPoK42i1J4W23D0gtlp+/ay0zvLeD4hQtXTlwBpjWewZiAL5ZYAf233/U/aYZTFHokeBU4kpogdzcYxA2XmIeDkuQxcJrAmlx2FeSwgIm38rLkcc+4d1IBAJIdUPQtlECG4O4fFI1b9xood3PDHzs4me5pCG+HO483fHrT8TTX8zIHYPBM0NLTx102RuOv0uXn7gTVLJzo6mpa859MIJhEo6/h0LR0Psd+aeBEOBQbLKsrjSbYG8iLwAjPR46C+q+kRfGyQixwDHACy/fJ47C8uQQJwqqHkKbb4Hkq+BszQSPQIJrjfYphWNZmaDuwB8yxnZgdCWSMlhiK96sE1bohAJI9H9ILpf/pMCayxqyOiMOw/cuZD+Go0/C5V3I8F1+8fYAeKHL37mlC3OIRlPkWhJECkNc9d5D3DNO5dSXlU22Ob9all941W47NlzuOn0u/n2o+8ZNqKC/SfuyW7H7jjYplkWQ0S19wKVIvIKcLqqTvF4bDPgAlXdKfv9RABV/Vt3644dO1anTMlZ0rIEoepC/Em05X5zgQ3vhkQPRMSjtqene6R/QBfsDdqC0RUTIIQMuwoJb9dn+/Q3mp6JNlwCyXdBwlAyASk9qdsoo7oNkJwKThQCG2LKLIc2bv2ZEMvT1NAe/9o4Nf8dEJv6ixM2mchXU2bQ/k+1P+hn/JHbctL1Rw+eYRaLJQcRmaqqOQ2DA5FGfB9YRURWFPNXfz/gyQHYd0DQ9Pe49efjLpiA23Axmvl5sE36VaENf0EbzjeK4unPoOkadMEBqPZdGkWb/mV0ndoEXBWIow3nD0l9J83MReMvo6nPaL1Z0sx8dMG+kHwdI8VRD813o3Und7mW23wfOve3aP1paO2x6LxxaOrzAXgVvUPKL4WyU8G3LEgXad70pwNnVD/Q3NDCjA9n0vmeOJ1M8+rDbw+OURaLpWh6K/2wl4j8BGwGTBKR57LHfyMi/wNQ1TRwAvAc8DnwkKpO753ZQwNNfoQu2ANiDxtnoOV+dP5uaKq7ngFLIWj6W4g93UleIg7pmRCf3HcbJd/Gcw6kW29SUkMEVcVtuAidt51xjhbujy7YC80sQJtvBm2go3RCHBJvmKHiXuulPvEQEZ2P1h6B+bUduoj4cKKH4wx/CWepd81oH88TSwfWsD7GcfJrh/n8Qz8CabFYDL3tRnxMVZdV1ZCqLtWaKlTVX1R1l3bn/U9VV1XV0ap6SW+NHipow4XtUk8AKdBmtPHiwTSrYFSTuM334M7/Pe6CfdGWR1DNDLZZi0hOxfsj2oIm3+i7ffJGRtweXaw19RXa8iiaeKdPI2MaexRij7DIOYpB+iu0/tTscS8E0l97r9fyEJD0eCBuUpGLEyUHYZoa2hPOHl98iZRGWHvcGji+jr8HwXCAHQ7eapCsslgsxWIV5HuIagbSeQJ0yQ8G1pgeoOqiCw+H1Ce01r1o6itIvIpUXttHeyjacq9RmXcXgG8lpPwvSOi3hS3g1BhR0ZyywiA4S/eJjQBEj4SGvwLtI2hBCG2HOIU7W6optO4kSLxp7EbAGQ5V9yK+Eb23s+UubxHZ5FQgn5OcBP+K3g+5dXhG9CCbVl18kNITUXeOiYRKyNT3RcYjpScMtmm95ow7jufUcefSWNtMOpHCF/Sz4lrLcfD5+w62aRaLpUCss9VjHIxEgJfqeHSgjSme5OtZZ7G9/TFIvIamPkUCa/V6C22+EZpups2JycxAa4+Dqn8jwY26XyC0BUgkGz1s73E5SMnve21fKxLZG03PNM6MBEGTENwEqSguCKvNtxtHi/giczNxtP50pKoP9J/chjwPONkvrw69MJJH80zCO6CJ1+joZAKahkJ+PkMIET9ScRlaegZkvgffCr+aTtIRy9Vw19fX8t4z05g9cy6j1xvFOluuaccTWSyLEdbZ6iEigoa2gsRzuQ8GNxt4g4pEE+9mnZjOpCH5PvTS2VJNQvOt5FzIiaON/0Kq7+t2DZEAVN1jHLTMHDOfkRAy7ArE13dSbSKClJ+Olh5jUm6+pRHfb4pfqOVBcp3vDCSnom4D4pR3u4RqDNLfgzM811kIbQuxB1iUts7ilIHrFYlyoOSQ/JuFx0PLfyD1OebnZN5fSk82sh5DEHUXok23GvV4p8pIjbTrGBVfNfxKnKz2+AN+Nt998XKALRbLIqyz1Rvyzf9LfoiqDu07T81gLq6dcnQSNOm73uIuzO7hQXpGwcuIfzTUPAeZb01qyL9an0gTaHoGJN4BZxiEt0MkYpyh4Ia9WDXfvDQx0bJucJv/DU3XAA5oCg1tiVT8A3FMpFRKj0cTk7NzAhOYMUJ+kBKg8/iQEPhGIKVH5d3POLN3Q3wSGnsWnHKkZD+kV+9B/6FuLTp/d3BrMSN6vkHrP0XTf8IpPXawzbNYLJa8WGerN+QpPEbnYC6GnQt2hwaa+hJi9+M99NcH4e17v4lTlafeCvCvVNRSIgL+0b23iWwdWcO5EMvq8YofGs6DqjuRwDq9Wzy0A8QeIify5FsW8XXtwGp8MjReQ4dIYOI1tH4iUnmNMdVXDTWT0JYHTQelb3lIvgOZH+hYs+VAZF+k7M/d1pyJBCGyFxLZq+CX2deo22xqxJzhiOTv2dHme7J1Zu1kPzQGTdehJQcgjhX4tFgsQ5OB0Nla7NHML2jyfbTz4OV8F1CJ4D1nb2igTdfhHYURqLy1TwRDRYIQPYrcwcJhpOzUotdTtwXNzOq9JEFiMsSfwrz+hJE70Ca09o+97sSUspPAGQGUZI8EQUqQisu7fa42t6ttayMJiZeM6GjrHk4FTukxOFV3ICUHQmY2ucXxCu78oor7BwN1m3HrTkXnboLO2x6dtyUafzH/ExKv49k9KQFID31tMIvFsuRina0uULcFd+Ex6LydzMV47lZGuLS1nT96HLnORARKDuvyDn3QSX2CZ8hJIh0G/vYWiR4PZSeBZOt/fCsildciwY0LXkM1iVt/bvaCvBM6dzPclod6bJO2POTR0Yc5lvqkx+uCGV8kNf8zs/3Cu0PpcUjN5MLGxWTm53nAl43meOAuzDMjUPtcH0zdBtRt7Ns1606F+PMYByoB7ly07lQ09bH3E3wjManvzgs1D0nxWYvFYmnFphG7QBsuyApeJhbNYmu5x0gkDPsnhHaBkhkQexBQUIWSA/q83Vw1ibY8YFJf4kdKJkB4z547dP5RkPSoN9NMNjLTN4gIEj0Sokd2W8OmqqZ2qOVuU+wd3hmJHo42Xg6xJ2mLxGkcGi5BneFIeJvijcqrPC90SE91t4yqiaZkfoHAGMRnpCjEKUGiE4AJxdkV3ATiT5IjxSBByFesHxiTpxYsBKEevDceaHomWnd6NnIkaGAtU0fm793cUs3Mzv5udbY/gTbd6ik/ItHD0cQr5EZlFeonosNfHNo3ORaLZYnFOlt5UE1A/H/kXgwUUu+g87Y3/xe/uYCHtoeKi3H6uG5ENYMuPARSn9Gmh9XwBSTeQIZd2aM1pfR4dOEHdOycC0Nkj35LPXXXLKCNF0PLI7Sl0ppvRWNPgjub3J9BDG2+vmBnSzVmOu6cCiSyJ5r6iNyUnUCgsIHF6i5EFx5pivbxmWL2yO+Q8ot7fLGX0hPQxIvZDtHWtGAEys5GPKNXIE4ZWnZKp1qvEPhqkJIDemRHe9RtQRdMMKN/WiOhqY/QhfvB8Fe6nbnYJZlZJv2XM1BajXSDBxLcAA1uAUmPVKPWGeetUA03i8ViGUDsbWA+NEZewUfAOCrZmh9SkHgZmvpGDLQDiVch9QUdHCONQfwFNPVFj5aU4EZQcUVWGNSPUdreHyk/ry8sLhrNzMrKJrR3gBLgzsG7wp5srVL3uC0Po3M3RWuPQufvZbSwAmOyHXxgauvCRk6iQOdB686A9Jfm56BNxtbYJDMsu4eIf3mk+gmI7AO+FSH4W6TyZpySrgvXneiRSOUNENwS/GOg9Fik+om+KRaPP5ONnLX/GbjZz9/zvVvbPzpPlNEPgS4kDvLeDGj282KxWCxDDxvZyodUmHlrWlvgE+LQ8gBa9n95IxE9QZNvA956WJp4Awms3qN1ncgOaHh74yxIpE9tLhZNfoi3U5XA+yNaWBRKk9Og4SI6OKqZb0BHQcXVkHzTaDVF9kR8Iwuz1W0wHYCdOw6JQcvdED2woHU6rJl4E22+y6jsh7dBqh8uSJOrFQn9tnBV/mLsyvyE52dP49DLgevilKMlh5n3rM3JdsxnsSu5iuCmRv6ic92dZiCwXsdDqS+MzIh/JSSwZq/stVgslt5gna08iAjqVEGmUGcLIG0uRH05/NYZgVGq75xuSUPTVbi+FXAiO/RoaRHJP8B3IElLOgYfAAAgAElEQVR9Qt56qcCGkPqIRQ6TZC/Ip3S7rLbcTe77lgH9BfGNQMrPLt5WbSFvQFibi17Obb4DGv9Fm8PR9BUa+y9UP9nj6JSmv0Gb7zaSEMFNkJL9e9T4IIExqJTkit9K2EQHe4mU/Rn1rwjNt5mbmuCmSOmpbfVvnkR2heZbss5ea3o5AqHtwG0wXcP+VaHuREh+COIDddHAGkjlbUO+Q9Nisfw6sc5WVxQrnumM6PNRPRLZA22+Lk82LQX1p6GhV4as4ndBJLpISZWfjWR+QptuNPVbgfWQ0lOQwCrdr5uZS14tsc4yHoXiLAVONbidGwz8RuG9CNRtgsYr6egQJiAzH225Fyk9rmjzNPEGWns8xhHJQHKKcTqrn0B8w4tbLLQ1+JaF9HcscmyC2TRn76ckiAhSsjeU7F3Ec8JQ/QjafKupqZQIBLeG+KNo7csYAdnW9zO16Mef+hRtvBSpuLTXdlssFkux2JqtrgjvjIkqeeGj49sXRsrP8ywEV7cFTbyGJt5G83bDeSO+Eciwm9vVGHkQ9xgZtDjh5ose+hHfSCS8A07Nozgj3sKpvAEJrJp/qeaHcOdugzt7dUhNx/N+QlMQWLtHpooIUvE3jORH69phcIYV34Wamm6KxHNIQNP1uAsPRhNvFLycqqL1EzFRstYi+wS4dVltteIQ8UPpiSz6HRAzxqnqroIaAVTTaOxp3No/4tb9GU28U7QNnnY5ZThlf8YZ/gJS/bAR6HXntWmmmShp59+zJMSeNF2kFovFMsBYZ6sLpOQwc2ffpqXlA4JQfjlS/SSEdgLfchAch1TdgYRzIxtubBI6dzO07hS07nh07uamlqgYO0KbQuRwPDWGWguWF2eCG+L52pzhIMMKWkLdWtx546HxHHB/xjQ3tGBqq9pHKCNQelJRNVGdkdBmSM0TULK/KUwvPQGpeQbxFSmb4VTlH2lEEpLvorXHF64r5s7KjvLpTNo0cBSJJj+AujOAVn0tNV2dBThuqhm09mi04S+QeAniT6O1x+I2Xl20HV2SeJlcUdd8pMnbcGGxWCz9yBKdRlRNoU3XQst9pi4lsA5Sfi6SHcIsTilacig0Xoy5YGfMV8PZaGCdbvWGNP091E8E4h3+xmvtkTDizaKU2iWyLdryb3IHHYNKpZFNCKy5WBYCS9kZaPI9U+9G68zGEFJ+QdfaXG4txF8E0mhsUlaKwXMH06nn1CDRQ5HQFt7rqUL8MVPvpE0Q2h4pPRZxKnNX9I9Cys8t9qW22ysF/uXBv0J27FM+hyEGjZejkb3MLMOukJL86/SgjlCbriX38xaDlvvR0pMRp4toa+IVSE6jY4dpzEh6lEwouCGhW9z6LhzW9ggExlodLovFMigs2c5W/USIT6btgpKahi48yNS3+FdAk+9D46Xk6jxlsnpDE2D4y6aOxGv92GPkdq0BKMRfMsW+BSKBtdHIXhB/POuUAIRMsXLjhZjsiKLBDZDKm3ungVQEi9IyGcDXo+Hb4l8ZrXocGv4K6Y9AyqH0xC51tNyWSdBwRnbfbqIVEkCGXYP4l+vyNG24EGKP0eYgtNyDxp+Fmqf7rLBa3Ua04fxs6jcDvlXAt0K24DvfIOsMZH4C/4pdri3OMDS4iUe3ZARKDi3e2PQ3+TYyCvXOqLxP1cRLeHfR+iD5FkQKr9PqkuDG5P/5BzDpxBBIEKm4oG/2tFgsliJZYm/zNDMX4s+Sc+euCbT5NvPf5ttzH2+jAL0htx5PZ0szoMWPPpHyC5Bht0BkX4hMgMAaJgKjLZgLW8wURDfdUNB6mv4Bt/EG3MYr0eRHRdmibgNu3RnonDXROatl/10bt/58VPO9Z964ibdh4d6Qeh20AdyfoOE83KYb8+xdCw2nUXBaSIFuisM1Mxti7URVAUiBuxCNPWLOURdteQR3/t6483bFbbrBDFEuEFVFFx6RdbRSgAuZL40+VGBtvNPEgKbBI7rmhQz7J/hXByLZaFbQiNWW7NvJlkT39YP+1fPYpNnROV2Rr5My1afduuJfCSK/x/O+MTDOpPpL/2jGJvlX7rN9LRaLpRiW3MhW5nuQkMe4k0xWrR3IdCOSqHETcciDhLdB44/lts6jENy8aJNFBEKbIKFNUI2hczYk15lLGKehrGtpBLflEWi4kNbUqDbfhUZ2R8r/2r3au6pRtU9/Rce0VRJij6KZX5CqWwt6TZr6BGqPxmtsC003oJE9kE7jarT5XroWnG2PD0oOyR991BSkPkNT0zCRkM52xCHxFkQPQ+vPzEZCW2UabkTjz0D1fwuLJKanQ+Yrcoq3NQmpaXg7jg6EtkWcwmrXzHzGR9HU50b4NbBGh5Sdpr5GG87Oym04aGg7pOKv3qnSspPQBe/Q8YYjAiVH5H0/2wiOyRXpByCN+n6Tz63sGeE9so5yJ1JvIsNfKr4L02KxWPqYJTayhW/5/IXlra3joS0wCuN5kAh0VSMV3MKoYbevzZIIlByUt9ZLNY3GJ+PWn2MiTukf8tjYRZ1KzgiUTg+7C7OOVoJF0aGYmc2XfK/L5wKQmgqZ7/BOkSYg+U5+uzvb0ngduQ5O20Zo/bloZwHNPONcchEoORopO9V778Qrpnmh9nBovIK8aS/fsmj6m2wktJPKffrHrANWAOnv8f6V6yrCFISKSwpbvx0SWAMJb9PR0XIXmlE7qY8xzmoaEi+hCw/x7NKTwFpI1e3gXxsIGGmTstOQ0pO6NyA9M88DPiT5btGvp0sSrZHCTohjascsFotlkFlyI1vOCEwkw8NhyHyNJt5BooeZFJJbT+4f86Bx2ILj8m4h4kDlTRB/Bo0/BYSRkj/kVftWTaILD4P0Z9lomB9tvhOt+CdOZMeOazulqH+V7IDg9vggvF2XL53EG3Ts0Gs1II7G/4eENun6+emZ0FULvQSNM1bIsOLMjC4edCH5FjpvF6i82XRlAoS2zA5t9sC3qkkZBjZGovvnjQhp+ie09iTyp4lbCSLRAyH5Ad6OUgsaewKNP23qroKbItEjvQvAA6vlcZJDeDuuAClTN1jxt27s7B5tecRj/E4KMj9CagoEc8fkSHAsUvPfovcSpxQlSK4jHexb0V/I6uEJOZFBTZqfS2AdJLBa3+5psVgsRbDkRra0ifwRFUWbrgapRKqfgpJDwLcSOCNN8bZTY6JTVfd1290k4kMiu+FU3oxTeXXXY1Vij5tUU1vaMQ3EoeFMNCfdCVJxWfbC1aqDFAFnOFJ6etevHQc8U4VCQf63f+U8z8+iSTP7rhtU1byfXZIBYmj9Gaia1KGEdzXjlHINQ6ruwqm6A6fsuC5Tb6YOy8vxcTDvQcR0L1Zeg/hHGwfO82ftM2N/Ei+ZeYkt96Hzf4dmFomeqiZxm65HFxyOcdrbv3eO6SIM74j3e5+B2FOmpqy3pGeQtwi/wEgkgGYWmLq5rgjvQt4/L+GdCt6rECS8G94R6IyRz1iwL27LE326p8VisRTDkutsSRjP6E4rqWnogt1AHJzyM3GGP4sz4jWcpaYYcc3yszp0qKmm0PhktPk2I2CqhdYULUJjT+VJbQqkPsw9GlgDGf4ClJ4A4b2gbCJS8yziq+l6o9BWeSIsQSSye/eGBtYD/yqYyGDO4hDaDvEt0+0y2nhx1gEoALfBjJ8h68DWPGnkHBDAAWcZpPpBxFdd4Hrz8E7fhaD0dKTmcWT4G0hoK3M4uEV2OkBnJzNDx6hUGrSpg4io1h0PTTeAzqFj92QQQjsgNY8iFVdko60eSCgrD9FLAuvgKdKraqJu3aCpz3Hn7YrO2wqduwXugglo2rtmUXwjzbBzKTE3BFIKEkUqry+4/qxQJLCG+R0gRK7D6gJxaDwPXdz16CwWy2LLEptGFAkYKYXYg3nOcCE9E60/D6m8tsu1NDMHXTABtN7US0nQiJ1W/ae4+XZ5dbeUfEr24lQhpccWvgdGgVsrroT6P5sIVatjWHo0Eux+wLOIoMNugbqTIfUe5oKWnbNYchBSeny3a2hmDrQ8SP7oYmdSRoYhvLPRuPItjdQ8hrp1oKmii6AltAUae5rcKm4XCW+H+FfoeL74oeo+tPZPJu0mDhA2quVe8xcTb5rXmfocEu/g7dipmTqQtV1DW0HsIXIibpqCApzXbvGP9rAV8K3Ypi2nGjOyJNoIwc3bagvVrTeyKO27aFMfoQv3h+EveWqAmWHnb5vXL45JsUq+iQyL0PQMM5g7PROCGyPRg7odR+WUHoOGdzH1d541fT604Z9oysxLlMi+ENkbKXYkl8ViGRRUlYWz6wiE/JRXDYGZvkWyxDpbAFJ+Lpr6wmg7eZKGxIuops3FNg9a/xfTvt96kdS0cdQaryhK20dKJqDJd8lxACTa4/Ey+XAi26OhV410hcYhtHWXAq3tUU1B3XFGTRwXEyANQulJONFDCjMgNd04pR7pUbNe58iga7oTm65HSw5Ays4yo3N6GCXR4Dg8u/8CG+Y4Wq2IfwVk+KRs8X8SlSqYt6X3Bk42wpb6zHsfADJo7Cmk9AizfvQwNP54p+hmEALrGomD3tJ0hfdxMZE5TU4zgrtoNvKpaMmBSNmZaOxJ4/R1wDXp+MSrEN7ee2mJQBd6aZ3RxFto7R8xzmkGUh+iLfdBzeNdD6gGxL8s6l/Z29nSFojdS+vPQlPTIfEyUlmYTIrFYhk8PnvnK/5+yLXM/XEBqsqYzVdj4n0nU710YZI4Q4ElN40IiARxah6GYf8m/1vh0pXMgGrK1Ozk1P8kzYiSxFu4Cw/Hnbczbv2FXdfehLaFkj9golgR42RJBQy7GZLvG0ej5QHUbSjmZeZFnEpTsB89pGBHC4D4pKyj1eoUtKZq/oF6jovxwDdiUUStA45pPCDUaR5kdg8SEHsg+573glieou/0x571ce0R//KIf2UcXxWExpFbLxRBSo82//UtS35nywVdNBBb/CsilbeZQc/4zbrhHZFKb72xoklN9z6e/grXTaK1x2Z125pZ9F7fb97rzA94NhNoCjKdh3J7nKYumngXjT1uOjs9z1G0/uzsPq2/T0nQBrTxX92/PkBKDsgTIXbJaQxIvIKmPi5oXYvFMjjM/3kBZ+14ET/PmE0qkSKdTPPJ659z+jbn47rFl+sMFkt0ZKsVJzwONzw+29rf3mkSCKwPbh1u05UmvSIhKJmARI/JaispeS+mGs/epWcvUrEfTHdUzRM52lGQHXJc/he05GAjweBUoMHNoe54k/7QWFYx/nKovLOglF9/oDkSCFkkAMn380Y5OuAfA/7lsirl7Wuegtlogx9teRha7iFXeDaGtjycd+xOQcQn5a7bSupTCG5Q0DJS8Q+07iTzuiVgopqlxyLh8eaE4EZmxqPr5ZBEkGDHhgkJboQMf844rRIuKO1WMFIO6lHYLqVI6gPUK9XZ+l6Hd0J5mBx5DPF1G3XVzBx04cFGdR5AXTS0NTLsyo4RY3e++cohA8nXutyjzZzQOLTkCGi+lbYh39reeWtPGk28gQTWKWhti8Uy8PzvthdJpzr+/roZlwW/1PLJ65+z7lZjBsmy4liiI1vtkbIzzWDgtqHTYVODVHY2umBviD0JWmfShU23oHUnmudJMDsyxOutTNLxgt5aPN116kL8yyMl+yDhHcz4mOQH2Q5FNQ6XNqN1J3lqIxWCZmahzXejzXcUrIfVAaeCvMriBbb1iwhSebtxZgnS1v037GrEv7KpywptDHnTt4XWeuUzIJrngUwXtXMeyzilOFW3I8MnI5V3ICPewin906LHxUGqH/Eofg+Zz01w0zzrVvStowUQPZRFn+9WwlByMOb9zNdhGjcOtG9pOjZFhMG/jmmY6AKtO83UuWlL9nMcN1Gllns6nigR8t64SOE1Gk7ZyUbMtPwSZNh1QFcdr3YwtcUylPn561mkErk3ggrM/d7r5mxoYiNbWcQ3Emomm9qU9KfgXwWJ7Gm+dxvpGH2JQ+JtNPU1ElgFKb8EXfgHcGN4C2O2JwPJtws3LPYo3umbOtOhFli18LUAt+UhaLiodRFovBItPRGn9JiC15DIfmjsmVy7JOyp1QRZuYDYg1mb10UieyO+4Uj1fWhmnkld+ZbvKKUR3BjPiISUFNY12dVrKDkQTX3QqT5KTBTKv3rx6/mWzjojXo/VwPDX0djjxnkWQSJ7QXi3Hs2S7CkSPdaMqYo9kq2XS0Hkd0jpidnaOa/3OoKEf2duKqofQpuuz0YF/VDy+2yEt5th4alpHmvHoeV+iB6+aCun1DQJJF6lY0NB8bMdxTcCIrsYG4JrQfJ17xMjexW1rsViGVjWHrcmbz3xPvHmjs09mnFZdWwf1LIOEDay1Q5xojjR/XEqLsGJHmaKr1Mf4J0y87UJiop/OXMnXXEeOF0X8QL5W/yLs5b8kQhvNDMn62glsl9J82/TdWihEgyABNeHslMxdVWmpR+nGqm83bO7S1NfovN3gKYbzYW68Sp0/k5oZpZZzzfcRLI66ViJRKD8MiBMW0RFSiC4GYQ6irwWTWg7iOyPiaqVZF9DTXaId987QCKCU7IXTvXdOFV3IZE9u2y66A9EfDgVFyAj3kCq7obhr+JUXIKIH3FKoPxSzHudtUtKzASEbEpUnDKc8rNwRryOM+JlnNITuh9TpAny/pnxmKEpFZdlJSqykeW22Y779/BVg5SdjKcOV3BrHI90vsViGTpsd9A4KmrK8QcWXVtCJUE2Gr8+K6y53CBaVhw2stUdvtHgqYStHdrxRSIQ2Rtt/Hs3C0aQaOFRJCL7QNM3ufpbMsyIixZD4gW8HbQUGnsGKTux4KWc6OFoZM9srVKpadHP4zxowzlZEdlWYuAm0Ia/IZXXdL1PZDwaWAuNPQHagIS2huBmvXaITH3cWWj0UEhONYOeg5sMuAPUU9RtNp8Jp7r49yL1Bdp4EaS/xpUKiB6GRP+IE9kVDayNxh4Dtw4JbwPBLboV7u0SZynTDJH5sdMDgayQa0fEKUeq7zfOf+Zn8K+O+Jbq+f5garIqb0Trz8/Wzvkhsh9S/n+9WtdisfQ/kWiY69+/jLsvfJg3H3uXUCTIbn/ckb1P3nWwTSsK6Wndz0AwduxYnTJlyqDaoJk56Pydsx1arfjBvxJS/VTOhc5dcIAZfeJJBMr+jBMtPCWimjJF9qmp2UhAyOgEVd1ZdGGvNt+bdQY7RxR8ED0Op6yAmXdFoppE56yDZ0enlOAslSvWasmPug1o/cTszD8B3whTmxTarLDnpz5GFxxE7nDpCTjlZ/fcLk2iTTdC7GGTkgxvh5Sehvhq0OQHRv9KM5iblgj4qpDqRz0HYPcn6raAhKy+lsVi6RdEZKqqjs05bp2t7tHUJ+YCl/4WEHO3P+xvnkKLmngXrT2ajhezsEmFlP8FkXDx+6saBy45xYwKCo/voF5f8DqZ2ei8HcgVtgwj1Y8gRdZ/FbSnptE56+It6uk36VevOYJDCFVFYw9Dy11GyT60FVJ6YoeIi6ZnGE0t3zIQ2KDfarHcBftB6hM61zRJzWMFaXG5C4+B5KvkFoaHkBFv9+hzZdY9wkQ52z5bfpOWrXkWcUrMZ6/lQaOBFdgYiexuUpcWi8XyKyKfs7V45EwGGQmsjdQ8bfStJGBShvnODW0CldeiDZeYYcwyDKLHmOHEPbwAi4gpPM9TfF7wOr6RaNmZRjqiTT/Mb5Tju3C0VBPg1mVTVsV9ZET8aGgHSEwmd9hyGl2wHwx/YUin77TxYlNU3prKjT2KJl6EmkkgZWjdKZB4Lds5qeD7DVTeU/jooELtSH2dFUnt7Lgm0ea7kIoLu18k/TWeHXjiB3c2OEWmpgFNfWZSsR2c+DS49WjsSSS6H+Ibma2dslgsliWPoXuFG4KI093Q5Ox5oa2Q4Vuh6vau3qUfcKIHoaEtIf4ckIbwDkie2i/VDNpwqRG2JAM4aHhvpOLiohxHqbgQnT8N3Fkem9RnFci3K/q1aPp7I8XhX7XP5+217ZGZ5zFWKA1uE9p8n+nqS7wOJLLF4ED6O7T+/5Cqf/etMe7PxinK8ZUyxrEvhMBqkPiFnEU0XVhzhxepz/I8EMt2Iu7Xs3UHAU1/jzbfAMlppju29Fiklzc5FovFYp2tfmSoOVqtiH95aFU47wJt/HuHESeQgfjDqDsPqbql8P2cCjQ0HmK3e2yS8iie7sYutwGtPQ5SH2clDBJoyeFI2Z/7Pn2X/twI2eaoyicg+S5kfiK3Bi4NyXdQt6nHaTlP/KvnGW8UhEBO1NoTKT0RTbxFbs3WAYiTT3usG3zLYWZsdn4gBH0xZmiA0PQ36IJ9shFMFzLfoQvfQyv+jhPZebDNs1gsizFD0xtYAlBVNDkFt+HvuI3X90xctB9RTUFLe0erHclXuh475IEE1+o0fqf1AX/RulZadzqkPsREkxqBJLTcDfGnilqnIHy/8ZgJCOAD/wp4DnZuo5fCq50Q30iI7ImRZ2hnh0SR6IGFrREYYyJu/jWzz62C0hOQsjN6blhwI3BGknPvJgEksk/P1x1gtPGqrOhq+2aOODT+FfUcLWWxWCyFYZ2tQcDMgDsDXXgktNwGzdej83fFbXlisE1bhDaTW2PVjtS04tYL72iK+ztckINGWiO4SeFmuXWQfIvcuqUY2tzHaTswKdbAanRUTgcIICWHGb0urwCxbznPBope21P+Vyg7HXwrGEcpvDtS83hRe0lwI5yax3FGfo6z1Ds4pUf3Kgor4iBV90Hwt5j3wg/+NZCqe/u8bq1fSb6P582F25hnjJDFYrEUhk0jDgbJ17KaV63aWWnz1XAOGt4WcQofTdJvSDlmILbX/EAHnOIuom0K5I1XZWdQ+kyHZulJxaX+3EYjKOvVROvWFWVToUjlrWjdGVnlfweccqTiUiSwCpSegiZeNV2KxIAgiB+puLx/bBEHiR4C0UP6Zf2eIr5qpOpWVGOg6aHxGS4WXw2kPWZHAiyOr8disQwZrLM1CGjs6Wy6ohPiN1Gb8E4Db1RnU8RBS4+Hpis8HqwuuEaow9OcKqTiIqi4qPuT8+H7jUlHdhZ5xQehcT1ftwvEGWYcCbfeRPycpdscRPHVQM0zRgg0NRV8KyElfxjychb9hUik2MEGQwaJHoM2nNfpsxWCyG5ddiBbLBZLd1hnazAQP+aK5BWeGTpii07psbhuE7TciqljEXCWMYKqg1T8L+JDy/4K9adhaqJcTDQpipSe0L97OxVAhcfxUiR6MHBwv+5v6WfCu5uGh6abs9HTlBFnLT9/sC2zWCyLOVbUdBDQ5Pto7VEeI3hKjLDkELuLVk1lu/KiiH/0YJsDgKammxqtzI8Q3BQpOdREmSyWXqJuixFf9S3VL3V3Fovl14sVNR1CSHAjNHIItNyZPeIDFBl23ZBztABEAtnhwEMHCYxBhl052GZYfoWIUwLOGoNtRq9Jp9J89+mPRMrCLLNyDzXULBZLn2CdrUHCKT8NLdk3qzxeAuHtCxZNtVgslq548/H3+OeRN5BJu7jpDMussjQXPv5/jBw1YrBN+1Wiqrz3zDQm3fI8iZYk2+y/BdsfNA5/wF5iLQabRrRYLJZfEd9/9iPHb3wWiZZFOm+OIyw1agR3fX1tv83tXJK5+Yy7efqmycSbje5eOBpitbGjufyF8/D5hk4drqX/yZdGtDpbFovF8iviyRsnk0p01MhzXaVubj3T3/xikKz69TJr5hyevP7ZNkcLIN6c4Mup3/Lu0x8MomWWoYR1tvoAVRdNvI423YLGn0E9R6pYLBZL/zP/xwW4mVzFexGhdk79IFj06+ajVz7D8eVeSuNNcd55uu8zM/N/Wcj/bnuRyXe9QmNtU5+vb+kfbEK5l6jbhC48yAwC1gRIGCQK1Q8ivmUG2zyLxbKEMXbn9Zj6wsckWjqOkkql0qyx6SqDZNWvl7LKKI6Tm5r1B3xUjMiViukNj14ziX+fdZ9x7kS46tibWeu3q7H6xquw85Hb2kaIIYyNbPUSbboG0jOyIqUZI3rpzkfrzhxs0ywWyxLIDodsxfBlqwiGF42YCkdD7H7cjtQssxiNT1pM2Gj8+oiTeyl1XWWHg7bss32+/+xH/j3xPyTjKeLNCeJNcdLJNB++PJ2Hr3iSY9c9nTcee7fP9rP0LdbZ6i2xJ8kdOOxC6gOj12OxWCwDSLgkxHXvXcb+Z+/Niussz1pbrM7ptx/Psf88dLBN+1USDAUYvlyuE+v4hKnPf9Rn+7z4nzfIpLzn1WbSLolYkn8cfj3JROe5sZahgE0j9pp83ZzaxWMWi8XSf0TLSzjonH046Jx9BtuUXz0LZ9fy89ezc46nkxmeuul59jpp1z7ZJ51M4Wa6v6Z8NeUb1vrt6n2yp6XvsJGt3hLeBQh0OuhAYF3EiQ6GRRaLxWIZIFKJNOJRswUQa4pz53kPMHH8xdw28V7m/bSgx/tssdcmBCPBLs9RVwl1c45lcLA6W71E3QZ0wQRwZ5t6LUpAwkj1g4h/hcE2z2KxWCz9iKpyyMonMHvm3A7H/QEf4gjqKulUBhHBF/Cx+e4bMf3tLwmGA+x27I7sffIuLJxdx/fTf+Q3K4/MW+Suqlx7wm08f/erxFsSnomTEcvXcO/MG6yW2iCST2fLOlt9gGoaEi+hqc8R33IQ3tmM/LBYLBbLr57pb33JxJ0vJp3KkEqkCEdDqGoHYVkvQpEgZdVl1M9vIBgKkEqkWGerNTnvkdOJRMM556sqn739Fa//9x0+fu0zZn7yA/6AH8cnBEIB/vHCeay4tr3JH0z6xdkSkX2BC4A1gI1V1dMzEpHvgEYgA6S9DPFicXG2LBaLxbJks2BWLc/e/iKzvp3LuluN4YqjbySTyhS9TiAcYLsDxnHabcd1e+6smXP45LXPKa8uY+xO69rxQEOA/nK21gBc4Gbg9G6crbGqOr+Y9a2zZbFYLJbFkd0rDibWGO/RcwOhAE813oPP3zejflSVKRoGjeQAACAASURBVJM/4rVH3iYYDrDjIVuz2kYr98nalo7kc7Z65Qar6ufZxXuzjMVisVgsvyq2PWAck25+vkfPzaQzpFPpPnG2VJXLDr6Gt554n3hzAnGE5+54mQP/8nv2n7h3r9e3FMZAdSMqMFlEporIMQO0p8VisVgsg8Kf/nU4pcN61pG+wpjlCEVCfWLHR69Mb3O0wHQsJlqS3HvRI73qjrQUR7fOloi8ICKfenztUcQ+W6jqBsB44HgRySurKyLHiMgUEZkyb968IrYYOqgm0dhTuA1/Q1vuR107v8pisVjak4wneeuJ93n+nleZ/8vCwTanzwmGAtz6yRWMXHEEwXCAcGkYX8BH+0SQCPiDPgJBk2Ty+X2EoyFOuanvYhJvPPZezugmAHEc3n/2wz7bx9I13aYRVXX73m6iqj9n/50rIo8BGwOv5Tn3FuAWMDVbvd17oFG3Fl2wD7gLQFtQItB4pZmV6F9psM2zWCyWQefzd7/m7PGX4GZcVJVMOsP+E/fioHP39Tw/k8ngOE6flKy4rsvsmXOJlEWo7OPZhZ2pWaaau2dcx+fvfs2CX2q589z7+fHLXyBbK61qHKwNtluHH774mWE1ZUw4ay/W3HTVDvaqqz1OKUZKQzg+h0y643ByxxHCJVaTa6Do9zSiiERFpKz1/8COwKf9ve9goY1XQmZWdlYiQAy0Aa0/a1DtslgslqFAOpXmL7teSlNdMy2NMWJNcZLxFA9c/gQfv/ZZh3O//+xHTt3yXMaH9mfXkgP455E30NIY6/He7z87jf2WPZZj1j2dA1f4I6dtcz4LZ9f2aK3aOXVcf/LtHDz6eP409kxeuPc1vBrORIQ1N12VUWOWZc7381C34zmJliTvTJrKgl8W8uXUb7hk/6u44qgbaapv5u+HXcdu0QMZH96fU7Y4h5mf/lC0ndsfvBU+jy5FVWXT3xUkDGDpA3rlbInIXiLyE7AZMElEnsse/42I/C972lLAGyLyEfAeMElVn+3NvkOa+LNA5/lVCqlPUbd5MCyyWCyWIcNHr0z3lERIxhI88+8X276vnVPHyb89h+lvfoG6SiqR5qX/vM7Z4y/p0b4/fPEzF+5zBbWz60i0JEgl0kx/80vO2uliTyepKxoWNvLHDf6Pp2+azOyZc/n6g2+5+rhbuPXMe/I+p6muJW90Sl0l3pwgncyQaEnyyoNvctKmZ/PKg2+SSqRRV/ns7S85ZYtzqJ1TV5StK6yxLMdddRjBcIBIaZhIWYRwNMQFj55BSVmkqLUsPae33YiPAY95HP8F2CX7/2+BdXuzz+JFF6FesdORLBbLkk0ilgSPbKAqHaQSJt3yPKlEivZ+UCqRZsaH3zFj2kxWXn/FovZ94rpnSCc7DmnOpDPM+nYOX3/wLatuOLrgtZ6+aTJNtU2k2zmN8eYEj1/3LPuevodnenL0uisU7NTFmxP8+NUvHVTiVSHRkuA/l/6X468+ssP5seY4L9z9KlNf+JiRo4az2x93YtlVFinR73bMDozbexOmTv6IQCjA2J3X8xRNtfQf9urf10T2BDrnwX0Q3BQRexcxZGluhrPPhspK82+zjUJaLP3Bulut2cFJaSUcDbH1hM3bvv/mo+9JxlM55zk+x9Q9Fcmsb+fk1C21rjf/p+IK9D944RNP24KhADOmzfR8zruTPsjpMPQHffnr0Dz8skza5cnrn+O6k/7d5rg11TXzx/VO5+Yz7uHNx97j8eue5Y/rn877z07r8NyKmnK2PWAc436/KZFomGQ8yaNXT+LETSdy2jbn88qDbxYd4bMUjnW2+hgpPQkCa4CUAEGQKDgjkYpLB9s0ixeq8J//wAorwNVXQ12d+XeFFeD++8H+8bFY+pRoRZQTrj2CUCSI4zOXoHBpmDG/XZ1xv9+07bxVN1zJc/Cym8kwasyyRe+7/nZrew5pTiXSrDq2uOalkSuOwPEYPp1OZahZpirn+JuPv8flh15L3dz6DsczabdoB8d1lefueJn3njHO1EP/eIJ5Py1o6zjMpEwq8pL9ryKd7lzS0mpnmtO2Pp/b//IfvnhvBh+/+hlXHHUj/zrulqJssRSOdbb6GHFKkKqHkMpbkLL/QyquQIY/j/hGDrZpls7Mng3rrQfHHAMLFkBLtqmhpcV8f/TR5vHZswfXTovlV8b4I7bjuvcuY88Tx7PjoVsz8d6TuGTSxA41TbscvT2hSBBp59QEwgHGbL5aj+b/7XLUdpRVl+IPLqqeCUdD7HzENtQsU13UWnufvCuBcKDDMX/Ax/JrLMOKay2fc/6/J97nOSexc7F8ocSbEzx7u6lve/2/75BK5DpVzfUxjlnndBKxXNmHNx9/n++m/9jBpnhzghfufpWfvp7VI5ssXWOdrX5ARJDgxkj0ECS8LSJ2XtWQ5PXX4Ztv8qcMm5vN46+/PrB2WSxLAKPGLMdxVx7GGXccz+a7b4TP17HetaKmnGvfuZSNx69PIOQnWlHC747dkb8+cWaP9otWRLlx6t/Z/U87MXLUCFZaZwWOv+ZITrzuqKLXWmmdFTj7vlOoGF5OOBoiEAqw1hZrcOn/zvY8f9bMuT2yuSuSceNgRUrzl6f8+MXPnLjZ2bhux/TplOemtYmctsfxOXz6+ud9a6gF6GWBvMWy2ON0c7/R3eMWi6XfWGblpbn4qYl9tt6w4RUcd+VhHHflYb1ea/M9NmKT3TZg1jdziFaUULnUsLznLjVqOD9/1XcRo3A0xA4HG23wPU8cz5VH3+hZjwbw4xe/MOW5j9h4/Pptx6p/U4U/6COd7Fg75zgOFcPL+8xOyyLslcRisVgsliJZMKuW+T8tZJlVlu7S0QI44uL9CfVAQFQcwfE7IODzZ+vboiHW3WYtxu1j6tt2OGQrVt0ofydlOplm+ptfdDi28xHb5kQSAYLhABvtvF7Rdlq6x0a2LBaLxWIpkF++mc3F+13Fd5/+iDhC9W8qOfu+k1l941XyPmfLfTbDzbjcfNpdzP+lMBFVX8DH1W9dwojlaki0JHjxvtdoWNDEJrtswPrbrd3WxSgiXPDfMzhw1J9IJ3Nrt4KRQE7R/shRIzj34dO47OBrcNMurutSuVQFFz15Fn4PAVRL75Gh3Oo5duxYnTJlymCbYfm18vDDcPjhXcs8RKNwxx2wr/cYEYvFsuSQTqU5cNSfjOp8u0tnpCzC3TOuZdjw7sf/vPrIW1x6wNW4edJ+rfiDPp6ov4dgKNDlea28/fQUztvj8hzJiJLyCPd9d6PnUOx0Ks2MaTMJRYKMWmv5PhmHtKQjIlNVNUea36YRLUsu48bB6NHGofIiGoWVVzbnWSyWJZ73nplG48LGHIcmlUjx/N2vFrTGlr/fjNHrjMIf6HrWoYjDO08tCjb8PGMWfzv4Gg4cdRzHb3wWt511H+8/O410ykSzNtttLDdO/Qcjlq/BH/QTjARYeqWl+MeL53s6WgD+gJ/VN16FFddewTpa/YyNF1qWXEaOhA8/hAcegBNPNJIPsRhEIlBSAtddBxMmgP0jZLFYgK+nfusps5BOpo3iewGICJdNPoerjr6Zd56e4inwCmZ2YavY6s8zZvGnsWcSb07gZlzm/jCfr6Z8w6PXTCISDXHpM+ew2tjRrLzeKO777kZmzZyDusrSKy2FiFA7t57/XvUUUyd/zIjla9jnz79j7XFr9PyNsBSNjWxZlmxEYP/94fvv4dRTYdgw8+8PP8B++1lHy2KxtDHv5wV5Hys03QdQXlXGYRdN6LKw3R/wsfomKwNw94UPtzla7UnFUzQsaOLs8Ze0RbgASsoipJJpUsk0C2fXcsw6p/HoVZOYMW0mbz3xPhPHX8xzd75csL2W3mMjWxYLmJThJZeYL4vFYvEgn6aViLD86ssUvE7t3HpO/u05NDe0eD4eigRZc7PVWGPTVQGY/sYXOY5We9LJNB+9Mp01N1+Nvx96He9O+sCkKUVYdcMVc+Y4JlqS3HDKHWx7wBYEgoU7iZaeYyNbFovFYrEUwG/32IhwNJRz3B/0s+luG+Ycz9eA9r9bnyeZSHnOP0Rg2wPGUV5Txp7DDmXv6sNyxvx4PSfWFG9ztFKJFLGmOLHGGB+/+rlnqlJV+fGL4mdMWnqGdbYsFovFYimAdbcew2a7j21zuMQRQiUhDjh7L0YsPxwwHX7//st/2GPYIezkn8DxG5/JZ+981WGdbz/6npTHIGsAFF5+8E1ef+RtWhpjNNY2k4jljvppTzqZZqV1VmhztDosl8fhSyczlNeUFfKyLX2AlX6wWCwWi6VAVJUpz33IKw++RTASYIdDtmbNbLoP4O+HXcdrD7/dwUEKl4S47v3LWGENM0D7wb8/zp3nPtihzqo9Pr+PTNq7cL49rXMjVdUM9Va8041ChyiaP+BjrXFr8I8Xzi/gFVuKwUo/WCwWi8XSS0SEjXZenzPuOJ4Trj2Sptpm/nfbi8z85Htq59TxyoNv5USikokUD17+eNv344/cjnBpbjoSwPE73Tpa4giVI4fh+BwzzFox4qQejpbjc1h1w9GEIkFKyiMEI0HW2HRVzn3wzz149ZaeYgvkLRaLxWIpktnfzeXPW51HU10zmlFUldU2XplAKJCTynMzLt989F3b9+XVZdzw/uWct+flfPfpj23HQyVBRixf020tlbpK7Zw675qvdjg+h1BJkA13XJeqkRX4/H7GH70dm4zfoOjXa+kd1tmyWCwWyxJPrDlOJpXJKwDamYv+cCULfl6I6y7yeL5472syKe/o0srrrdjh2NIrLcWtH1/Jd9N/5MX7XiMRSzJu7025+Yy7CzO4C0fLH/BRs2w1qDL7u3ncf+mjgImITXnuQ0655Vi2P3DLwvax9Ak2jWixWCyWJZb6+Q2cu/tl7F11OPsudSTHrHsaX039psvnLJhVy8xPfujgaAEkYynC0VDO0OlgOMB+Z+3puVZFTRmBUICfvvyFdydN5ccvf+7dCwJqlq1mxbWXZ+5PHXXB1FUSsSRXH3criVii1/tYCsc6WxaLxWJZIlFVztjuQt5/7kPSqTTpVIaZn/zA6dtewIJZ+QdGJ+NJHMdb8LisKsofztiD0soojs9hjU1X4Z8vXcByq+XqcP309SyOWPMUHrz8cd5/9kP++69JxBrj3psWqK8sIux0+DZMnfxR3vmLjiN8+X7XDqWlb7HOlsVisViWSKa/9SWzZs4l00mHKp3MMOmW5/M+b+SoEQxbKnfodCAUYOsJW3DI+X/gsQV38lzqQa5561JW22hlz3Vu+vOdNNe1kMzKQKSTadTVti7DVkIlITbeZQNCJR2L6sWRDk6Y43PYcKd1WX/btfAH81cJua5SUuYt0GrpH2zNlsVisViWSGbPnOsZMEolUvz4Zf4idRFh4r0nM3Hni8mkMyTjKcKlYYYvW81+Z+5R8P7TXvrUWwdLoXqZKmpn1xEpDfOHM3bnD/+3B1cedROvPvQWvoAPFCpHDuNvz/yFr6fNZMEvCxmz+eqsNnY0zQ0teWcuAlQuVcHo9UYVbKel91hny2KxWCxLJCuvvyIZD7mEUEmQNTdb1eMZixiz+Wrc8eU1PHfHy8z6dg7rbj2GLffdrKgZieGSIEkPwVJ/0M99391AJpUhEAog2Rmt/3fnCRx07j588d4Mhi9bzVpbrI6I8JvRIzs8P1pewj6n/Y5Hr3qaeHPH2qyqkcO45OmJbWtaBgbrbFmWCDQzF22+BRJvgm8EEj0aCW0x2GZZLJZBZNSY5dhgu7X54MVP2pwen99H6bAoOx66dbfPr166kgPO3rvH++9y9A48evWkDg5XIBRguwPH4fP58Pl8Oc/5zeiROc6VF4ddOIFlRo/koX8+Qe3sOpZdbRk2231D1tx0NUYsX9Njmy09wyrIW371aGYuOv93oI1AVrFZIlB6Bk70oEG1zWKxDC6pZIoH//4Ek25+nkQsyWa7j+WISw6geunKAdn7oj9cydTJH+EP+smkM6y+ySpc9MSZeYde94TZ383lnN3+xpzv5uH4HVxXOeGaI9jpsG36bA+LIZ+CvHW2LL963IZLoOU+2hytVqQEGfEOIuFBsctisVjAdCV+P/1HllllaUaNWa5P11ZV/r+9Ow+TqyoaP/6t23vPPpOwL24oICBoRAH9yaogKAqyCwJ5Ca6oqKwqL4IoIKivoICiKERAZVNQWRQU2QQUVEAQEAQkCckks3VPb7d+f5w7S0/fnq2np2eS+jxPHjLdt+89vZCuOadO1bFbfZr/Pr2srFRFIh3ngjvPrJq8b6bH2vWYdVfuHioCLQA8KNr2Z2NMY22yxYbs8oEdZzzQAnjqoWdYOab4KkB+sMCNF/1mxq9nwlmwZdZ+kfXCb9cCeF2zOxZjjJlFr7ywEs+r/KpXX+kep5aYmVmWIG/WetJ0HJr/K5AddWsM4m9BIhMnmhpjzHzTu6qP846+iIdue7Sijhi4ZcS37/eWBoxs3WQzW2atJ4ldoOUkkDRIE5CA+FuR9m83emjGGDPjVJWT9voKD1cJtOKpOAs36WLvY3dvwOjWTTazZVxRvfx9UHgYvIWQfC/itTZ6WDPKazoCTX/I5Wh5nTajZYxZaz310DO89K+XKwqbiggdG7RxwKf35X0fe8+M7ng047Ngax2nmke7F0Px76AZIAV950LHFUj8TY0e3owSSUBs60YPY62hWoTcHWjuD+B1IamDkOjmjR6WMeu8Zf9egRcJydNSZcsdt+CQk8KbYpv6sWBrHaeZq6HwKDDU/DQLCrrmBFh4l1UZNqFckH4kFJ8MgvQoOvATtO0beKl3N3p4xqzTXrvDqynmK3dgJ9Jxtn3nVg0YkbGcrXVd9npGAq1RdA2UrCyCCaeZ66DwRBBogSutMQi9p6Ba2X5k1saVuwd/9cfxVx2BP3AVqiGfbWPWcptssSE7vf+tJNLx4dsiUY90a5p9FlueViNYsLXOq/IRmLu1bs1cMPgrQoN0gMLfZnUoQ/z+76KrPw65O6DwIPSdj646BNXcxA82Zi1z6lUncNQZB7P+5gtpW9DKnke+i+8+dC5NbU2NHto6yZYR13WpA6HvGSq+OL0uiLy2IUMy84BUS6z1oQEV+dXvhv7vAqNn1bJQfA6yv4T0QbM+JmMaKRKNcPAX9ufgL+zf6KEYbGZrnSfpQyD+1uDLMwKkQVqQju9YvpapStKHhQdc0gbRN87+gPIPg8RD7siiud/N+nCMMWY0m9lax4nEoOMHruxDfqj0w3sQz6aaZ4qqgvaDJN3rXdO5BtHMz2Dwty4objoCSfy/qZ+ntArNXgel55HYmyG179R6RCb2gNTBkLkGxMMF6jGk49K6Bulaegk0B5FXl1/Hayd87duzLgHGmIazRtSmLrT4IjAYfClGGj2chvGzt0PfWeCvBKKQPgRpOWlaQZdqHl11MBSfZWTZNwVNi/FaTpj8eQqPod0fBi0COVfs1etEuq5DvI6pjan4AuQfdMFO4h2IxN2SXulliGyOeM1TOl/16zyPrvkUFP+NC6BakfYLkfhb3f3qo6/sCv5yyoOuJNJ1NRJrwGybMWadU60Rtc1smRmlxRfQNZ90AYFE3FJT2zdcFfd1jOYfhJ7PMRIYFSFzLapZpO3sqZ8w+yso/Zvy/LosDFyGpg9HIgvQ0jI083Mo/QeJ7wip/ZAxy3265gugA6NuyECpgPZ9B2n78pSGJNFNIeqa56rm8decCIO3uSU9LaDpo5GWE2ua7VItot1HBAGr7270s+jq/4EFtyKRDRDxoPMKVzNOVwMeaAlav2yBljGm4SzYmiWqBcj9Di38A4lsFlRpn5nf+ucK1ZKrveQvA3w3waAZt0Nswc3ui3kdov3fpXLH3iBkb0JbTka8lqmdL/c70GzlHRKHwsNoaSG6+thgxiqPDt4GA5dA13WI1+7O4XdD6fmQsxcgdyswtWCrbHy958DgHUAehso/ZH6CRjZCmg6b9nnJ3R0Eh/6YC5bQ7PXQtAQGb0Gzv4TolhDfEWJvQGLbI156+tc1xpgZYsHWGFp8Fh24EkrPQXxHJH3Y8BfVtM/p97jlH3+5Cz5IQ98F0HUNEn31zAx8Lsg/ANpDxZciBTR7LST3dQVUvfUh8U5E1vKPX/G58NslCv4rMMVgC28Bbk/L2NdXUWmDni+MqnsFkIXSMrT/e0jrqcFt473mYQnmk6NagOx1wNgyC1nI/ABqCbb8V0DHPmeAPBRfQlcvcfmGQ43G8/dC+mAksfP0r2mMMTPIdiOOorl70JUfgOw1kL8H+r+HrnwvWlpR23n7vgWlF0d9EWZA16A9J9c+6LnEf6XKHUU3m7PqELT3HLTnRPSV3dDif2Z1eEPU70UHb0Nzd9W3AGdsG8L/F/MhstGUTyfpw6gMiASkGSKbQujntOCS6YeO9loh9mZcQvtoydrKI2gWqGx4C4C/evrnBYjtQHjyexoibVD4C8OBFri/Z65Bi2EzeMYYM/ss2AqoKtpzGm7ZZ+hLYxD8NWj/d2o7+eBvgMLYK0LhH6jfX9u555LYDsESVsUd4K/CvbaDbknIfwVd8+kZvbzm/4LfczL+6k+g2Ztd774x/Mx16Ipd0J5T0DUnoive7nKr6kCaPwUkxtyagqYlU9v5N3S+2FbQepbLg5Nml9ge2QTp/DHipahaiXbMtaT9fBfsSZMbDyk3i9v0P1Me08hJW9yMZeUdQXBXw6ljW0Bid9xYhyQgugmU+sfM5o26bv6+mq5rjDEzZS1fx5kCfzn43SF3FCF3Z23nFm+ciuxrTy0riW6Gpt4Hg7eMyi2K45782MDHh+K/0NJyJBL2JT01fv/3of8iXECnaO5PkLkWOn80vFypxWeh90wg58oHBHT1Elh4z4zn90js9dB1Ndp3LhT+7koQNB2PpA6c9jm99P5o6j2QfxS8ZohuPZx8rrFtofAI5TNMSUiXL+FJZANYcJsLRkovQWxbpMYG3SICbWegq0/ALSUq4LlyFy1fqOncANJ+gUv8z/7U5YMl90WajkUHLgdiVPwyIxGQ1pqva4wxM8GCrSGSpvrMQI2J7Mn3Q+YqyqtbexB7y1pXz0paz4bYIjSz1M04JPeB7A3gvxRytDeSSD0O1azb8u91hQZmWloF/f9Heb5QFop/d61bknu747I3UBn0BXJ3QmrfCccyVRLbGun88cyeU5KQeFvl7e3fRFcdHiznBs8z9iYk/eGQc0Qg8Y6ZHVdiV+i8Eh24xOWrxbdDmj6GRF9V+7klgjQdCk2Hlt+R+iA68AMqZ44FkrvVfF1jjJkJFmwFxGtF4293ybVlX8gpSB9V27mbP4Xm/wylZ11wIQmQZqT93JrOOxeJeJA+AEkfMHybTwkGLqc82AQiCyCyybjn8wd+BP3fAiKulED8bUj7t8p3cuYfcEnnY3vgaQYdvBUJgi38XkKDLfWrLEXNM976EHsj5O7CzW4JFB5FB76PNH9sVoYg8Tch8e9N+/GqCvn7XR6Wt7Bs166qQu63aOYa914n34ekD4K286H3ZFxWhAJxpOOyipIXxhjTKBZsjSLt56Pd/wPFp90yhOYh9T4kfejEDx7vvF4TdF3nlm2KT7gAI7F7zdXE5wtpOg4dvB1K/wUyQAIkgrRdMG79JR38PfR9i7Lk5/z9aM/nkY5LRm6rOjvoufYxQ+NI7oUO3hQSWPkzPsvTEPl7IfdHRmb4FBiE/u+iqQ+65cM5TDXv6mQV/x4sQyeh7+vQeSUSeyPaewZkb2L481B4HB38FdJ5FSTvH2nZE9th7d/paoyZV+xfpFHE60AWXIcWnoDSMohtNWNfUCICiZ0hsTOqJcjfjRaeguirILHbWh14idcMC26EwVtdMnpkYyR1ABJZOO7jdOAyyneZAeQh9yfU70a8TnccicpZLQDiSPrgUT/uAvGdIXcvLugTIAlNi5HIhtN/gg2kfk9Q3+rXuKW0kBIJ4kHuT5D+0GwPb0o0s9SVBhmuTZYFBV3zKbT9B245umypeBCK/4Tc75Hku2EdLJxrjJkfLNgKIbGtILZVXc7tam4dBv7LLkCQhJt96foZElmvLtecC0TibpYw9b7JP6haKQmJus0MXid+5jro/V8qlwfj0HJKWeK3iED7Ra647OAtIAkk9aHhli/zjaqPdh8e1PMam7M0mhfeNHquyV5PZRFYoLQyKF8RMguqGTT3JxdsGWPMHGXB1izTvvOCCt7Bl6MWQQfR3i8hHZfWfn5Vl+/ir4TY9jOy069h4jtB9r9U1G/SDNrzv2jLZ4NAK2RWK3UgXtPhFTeLeJDcC0nuVY8Rz678fcHS7HiBFoCikQ2h8DhEt3SvwTSon3GbDHJ3QWQDJH24+8VkNnitwdL+2Dti1mjaGDPnWbA124aXe0YrQe6PqBZryjXR0kto90eCHnJup5+mj0BaTqmpN91s0fxDbmdZ6WUXaKUPhcFbQfupCLgKf4buD1fePiT3O+DMOo+4wYpPg1YLtKKuvpaWgASsPhZF3AxX+7enPJunfj+66kC3vE4W8NDsTWjb1/Bmahdn6kDou5CK2a3IQoi8HjRst3CkplIaxhgzG6yo6ayrWnBr+mfMPYC/cn/0ld2g9B+XAK79QB4y1wRFVec2P3ODS47O/d5tIshcCd1HQvOnIFat7UqVQAvAH8DvXoy/6jD8gavQ0JyueS76GgjN9UtB6kPQ+hVc0L06+EwMgL8SXX0cOqqquxafxu85DX/Vwfi9X0dLyyrOqJkrg1m0oRw6HxiE3i/NWBV+SR8Ose2DMiyeex4k3W7RnuOCa0pwXxNIC9L+bSQ6/o5WY4xpNAu2Zlvi3VROKApEt0B7Po/fcyqaf2jSp9P8X9DVx7kAJVTWfVHOYaoF6Dub8mT4ggsO+r4OhfuncdYs5O+GwsPQdx7afYS7ztokvgt4G+CKeg7xwGtys5nkCQ3utQTZm91f839GVx7gks8Lj0DmSnTlvujYvo6DtxG67rhOMAAAHopJREFUXAtQcJ891YKriTZNInFXDb/9Uoj/P9wMcMHVaNMsQwVrIQKJnZH17keslpYxZh6oKdgSkfNF5J8i8jcRuUFEQjs2i8jeIvKkiDwtIqfUcs3Zon4/fu85+Mvfjr/8bfg9Z6J+b83nldZTILIhMFStPAXEXJLz4K8hez3avRh/ki2CNGzZpfKgkb/mH8TvPgp/xTvxu5eghcem8SxmWOl5qs9SFZk4JynM6F15g1B42i1JrkVEPKTrp0HR1hguCNkV6fqFq4bvd1NR2wyAHOqvAkB7vkR5i6oCaL/LLRzNq1KNXUsoEfw1J6PLd0CXvxl/5X5o/pFpPidxy5/5+3HvfdjnogD5e9bqHbzGmLVLrTNbtwPbqOp2wFPAqWMPEJEIcDGwD7A1cJiI1NYbpM5UfXTVAZD5MWi3W4bJXoOuOrjm2RHxOpEFv0HavwZNH4f04S7xdzhgUiAL/ZeFLudUKP5rggMSkHgPAP7g791SXf5+154o/wd01WFo/q81PKMZIO1VeipOQnzXoJZWsOSER/lMz5AMmvvDdEdYQXP34K98H/6yN+K/spvbFRl2nBbqOqMmXgde+wXI+v9A1n8cr+MSZKjJdeyt4cuMkkbiO7q+nKWwZuAKufvGPORIynsTAniuZlz/+a5FE3mgBMWn0NVHT7vRuGauYOJfIOrYQNwYY2ZYTcGWqt6mI91+7wfCkid2BJ5W1WfVJXdcA+xfy3VngpaW4fd9A7/7I/i956ClkXYyOvB9KD1H+RJMyfWRq7VPIsFySXIfvJbPBLk0IUsvQ7WRJjJuK5QkRDZEmo5xuxT7zqb8S8wVvdS+r1c9g2oWLT6H+vWrsC6RBRDfkfAgafioyptiOyId/4esdw/S8W2k7RxoPd8VtqwQBW/BjIxXc/ehqz8GxSeBgvtc9H4Ff2BkuVZLy/G7j0OXb4cu3w6/+yNo8cUZuX4YEancBBHbzi01jg6SJOXyouI7Ba9TtRzC8ts1vjtE3zDmmBg0nwj5v1Ixg6Z5NDO1NkVaehl/1aHBJpLxeBBfC4rQGmPWGTO5G/FY4NqQ2zcGXhj184tAZWO3WaTFp9FVh4AO4pYkHkSzP4POn7q6TFW/JHJo4YmZrenjNePehrEzO944ldFHSPOn0dUfpTyIikBkU0gfjaQ+gHhplyBe+m/4SQqV+V6qivZ/EwauCBpp+2j6cGg+AZHYjC7haPHpoJXOeDNACq3numP8XkjugxfdeOTuxK7BYQW0/xyX71UmWl7gtJbx9l9A5cxLFvr/z71G+O7z5S9neBks/wDafRAs/P2MtZFRVTT7cxi4FPxVEH0j0noyEtsOGKor9h3I3ug+3/iQPBBJH4iIoDree+g+j+qvcTWucveG5AWW3LUlGhKzFaEwMuuq+b+gvWe7c0gbNB2DNB03XIZCteRqhpVeZvxNJAk3M9f6xUm8QsYYMzdMGGyJyB1AWBn101X1puCY03H/Oi+tdUAisgRYArDZZpvVerpQ2nt2sFtv6B/1ImgR7T0D6fq5++KqZoJeflMlqQ+iA1cS2rNvKIAY7/GJndG2C6H/HDfDIs3QdBzStGRMPaVYUAogZIYqqMQ+mmZ+BAM/BgZHXqbMjyDzI5QImtgDaTsL8ULT9CZN/e4g8O2f8FjxX0aaPz7BUVFo/hz0ftWNnYi7re1cJPrqketqEXJ3oLk7XYPr1EFl94+r+GyVJ5Nx+XH5B0F7KM838sHPup2hqQPCHz9FOvBd6B9VZb/wILrqSOi6FoltCQQNp9MuwAo5A+PNbGnuAXTN8UHJhbDE9yIUHyN01hEPJI76fVB6Ee0+muEAVbuh/2LUX4W0nuZuy98H/hpCK+ADEIHolkE/xAMRr63KccYYM/dMGGyp6p7j3S8iRwP7AXuohhbCeQnYdNTPmwS3VbveZcBlAIsWLZr5OgngvgzDvmQKf3OtdLyuoFbVWIIk95nRoUj0dWjrGa44p0RxX1yCdFwyPAOifi/a9023vCIeJPdHmj/lei4CXmpPSO0Z5AZFQ2tqiXho+ig3U1U2K5OCpo9WDmzgB1R+wY4KTnO/R7v/A1031lTDSzM/C/JvJnqrU6FBYdm5tOiW9/L3M7JzruTG2/8t/NK/XHkBaUa7j3KtXjQDRNGBq9C2c/FSk3h/I5uG7/6UBEiLS/gPLTWRQYv/RgiCzIEfQe5uVyC0afGEta+0tNwVrJV2NLYdhLYzGkT7v4N0XDzh0xDx0NgiKDxE+esvEH8buuaT4cF5Gd81jPZXUT4z6UP+z64cSXQbKncyDkLmarT5BNfOqfTfcfL2POj4MV5ixwmfkzHGzEU1LSOKyN7AScC7VKv+q/wgsIWIvBoXZB0KVJb2nk2SDmYexooDHjQtgb4LKP+C8CC92O3ymmFe+kA0+W73270kIL6Ta29DkGC96mAovYDbKQZkrkLzD0DXdWWzVxMt7Unzp93W/Mw1QVK+QtMSJH1I5cH+mglGXXBBReFRiG8/pedbpvgkVUsKjCYCEwW62Zsg/0DI+XwoPQP933OziOljg6XToUCl6P70noYmd0ckMf51om8ID7ZiOyISQaOvd+/j2OBB0kh0S7S0El31/mDpNA/Fx10eWOuX8EL6F6oq2ncBZK4YSXiXZJUinwqFf4w//tFDajszmFnMubGQcGNPfdCVgphQCfxlhOfbDbql+kKVX26IoMWnkfj2ENuW0NldAGKI1r4T2BhjGqXW3YgXAS3A7SLyiIhcAiAiG4nIrwGCBPpPArcCTwA/U9XG1htIH4LbuTZaAlIHuETj9Eeg+figuGKKodkfafn8jA9F/X78gSvR3rNdAnVs++FAC3BFPv1llM8a5KH0bxecTYFIBK/1dGS9B5Cum5D1/ozX/InwmanoFpM7aen5qnep5tHszfh933b/9QfR3F34PV/C7zvP5WrFtqPyvRiSBGkCbwHS8cMJl440ewPj72IruCA7cwXhy2ISNEKeQLVNEoW/u//G3xEsN48OQKJuxjS5l9uA4fdQnlSehd6z8Fcdh7/iXfjdx6D5h0eul7nSHa8DQXHS7urPdbLLoeBm4mLbMfz5imwEnVcFDdirLemFGS/frloQlYHuw/BX7uuCPa9ab1AveL2MMWZ+qmlmS1VfV+X2/wLvHfXzr4GJthjNGmk+wRVtzP3BzRRoAeI7Iq2ucoWIIM2fRJuWuGbI3oKJZzumQUsvoas+NGpHYhId+J5rSh18YWrhsfClHM272ZXELlO+rnhp8DYf/5jWL7oyEeSousSnOZeTo35Fvz0tLUdXHQTaC5pBJQ16KoqHC3Qi6MBV0HJSMNOYZ+TLPeGCztZT3LWjW0+yn99kjvGrzGoG9zH++6w6zuPVVWUX8aDzp2jfN2DwZnfe5LuRlpMRiaO5PxIenGShEJSnyL+Mdj8MHRehmaWEL+lGcc95dNCWRJo/Me5zGHkueTdr6q9g+D0u/QdWH4+mqy0hRkEWgq5g3Ar+ZST4Exa8laD4L3T10S7Xru/rVL42frBbdWKq6mYxtQjR10+7D6QxxsykdfJfIpE4XsdFyIJbkLYLkAW/xOu8HJFkxXES2bgugRaA9n4V/NWjSj8MgvaivV8eGUNkM0YKoI4eXGLGk/XLTh9/K9K1FOLvcnWwQpWg/xvo6sXomCUz7f2KC1SHvrA1gwvcsiOPZRD6zoXOn0BiD9xMViukD0M6v4/E3ojEtpn0F6akD2KiYMkdOFSXa+ztLcFy1jgPFQ8iVQLVUbOB4rXgtZ2Jt/7DeOv/Fa/tXGQo5yyycOIxAjCI9p5VffOAJCH+TlzQJSAd0Hbe5PseDt7hguGyoKnk3rf+08MfE90Kuq5kar+nJSY+XgtQfB5ib3LlKYalIH0oEt206kNHTvEUunIvdOWBaPeh6CvvQHMPTGGcxhhTH+tksDVEopshyd0mvwstoP4AWngc9btrG0Dubip/21fIP4BfeNL9mNzHBVZlO748t+swsXtt15+AxLZFOi51S3nVaAbyfwmKWgY3qQZLbZOY+ZAYUnoer+NivA3+hrf+Q3itp1UEvpOS3BeSezH+F3sSmha7JtdBGQGkCaQD6fj+pAI7aT2dyqXPJNJy2qSGKeljCA32wpT+E7R4Cnk9tAj5e3CfDXX5UQMXuc+nKpq7G3/NifhrPoMO3snY/StafDakRAZUX/YDpAMvulmwVDnZfz6KhFeyH60ApWeRziuQltMh9jaI74q0f3NSr6tqHu0+MijSmnWfS38lumYJWloxyXEaY0x9zGSdrbWeqqIDF0H/94PaQnk0uSfSdu70Zr8kWmXXGrDqILTjO0jiXdB1Ldpz0kjic+wtSPu55bld9aI9wTLTeLJo9pdIanSt2insUJyhmUMRD2m/EC0ci2avd0nwxWeCWbUYUIDke5CmY1wie9NRLqFeOiCxy6RfT0nsCp2Xo33fdrlz0S2Q5s+4RO/JPD65G9pyAvR9O/gMDLWlCVlalCZIHwaDNwW7HN0SrHs+MaBv1MFZKD7vKrCXVsLg9cOzppq70wVtbeeN5Ojl75nUeMsEG0Sk/SK0+8Ou1AUaPIcilb88JBk3eBsWH8lXTB889ZpouTsJDei0hGZvQJqPn9r5jDFmBlmwNQWavQH6f0BZ7anB36FypqtePlXJD0D254T/1j+I9pwOC/+IRF+FdP3MtVdBhks+zApJM6kZjFEBk4igiT0gdwcTf9F6EH97LSOsHEpsGyS2zfDPWnjS1SCLvQGJjBRClcjGFTWvVIuujIHXPm4A7ZZZr5r2GL2mxWjqUCg+BV4Xmrsr2AE7OjcrBemj8bw02vULyN4c1AVb6HL1ej4Xkk6Xg8z1QUHVUZ8rzbrekOkjIL49Wnh8SrsWAZDU8M5ViW4GC+90mzRKKyC+A5q5xu10HX4OcYh0QeQ1kP8T1ct7eMG5j5jaeEbzV1YpHZF34zPGmAayYGsqBi6lMlE5B9lfoa1nTHl2S1o+jxYfC3bAhXwR+b1QehGirrireM3TGnYtROJoan/I3kj1pSCvYiZCWs9Aux9zu+Z00OUXEXWzTBJjpJ7YpXWbodPSMjR7I/jdSGJn8DYc93h/YCn0X+jyhwBNH4a0nOQKg9aBeE0Q38H9EDkS9VfDwA9dmQstQfqQ4WR3N+NzAJJ2waEWX3A14cLoIFUD+Nwf3AxctVpzVXmQOgoZtSFDJAKJUW1zWk6B2LZo5idBlf+9kKbF4K8ONoIEHRuGc8ya3c/xXZCWLyCRrimMZ4zYWwidTZU0kpjZYN4YY6bKgq2pqJqjpeD3Q2SKwZbXBJ3Xoiv3qtIQ2A/a+TSWtH4RLb4AhSqlJqTVJdKPvinSBQtuhdxdbikv+jpIvMslX+fuda2IEu+asdY1Y2nuj+jqT+KWtfKuXU10O+i8PLQemWZ/Df3nUdanMnM1SgRpPakuYxxNRJCWT6PNx0NpGXgLx53BlOimaHTzoBH56KAp5XpAll4Jf+DQhgWvM9iJOzYo84I/o2eJEtD5E7yhwHCc50BqPyS135hTtsOCX7sgLP+oW3ZtOsbNjs0QiW2JJveAwd8z8gtR0m1aSOw2Y9cxxpjpWKcT5KcsvojQ35699gmrmw/RwmNo5ueuFYr67guq6aNjdmABRF05ikmet55EkkjnZYQndUch/aEqVeujSHJPpPl4JLmH+zmyoWu3kty7boGWn3vIVZJn1AyPZtwMYvbG0MfowMVUNgQfhMzSoDL/7BBJumXjyfTFbL/YLSlKE+69SUJyT4isX/1BkWBXX3JPXO7XWB7E3h6cz4PYIqTr5xMGWhOONbI+XssX8Lquwms7Y0YDreFrtF2AtH7Z7WiMbg3Nn0E6r0LEfqc0xjSW/Ss0BdLyOTR/f/ClPJQInISWMyZsWaOaQ1cvgXxQlVsEvA2gcymSOhAtPgGZa0Hibgkp+jqk/Rt1fT5TIZJAW0+D3nMYmTmIgdeGpBc3cmhl/L5vBa2GwutYafbGoETEGKVlVc5YcqUXpGMGRzkzJLo5LLzL5UOVXoH4m5Hoa/H7Lw6S38e+BnEk/mb3WElB549dUOr34Mpy+IBA8a8u16rjarzoOIHbHCPilfWBVL8P/F7UW1BTSyljjKmVhLcznBsWLVqkDz30UKOHUUaLz7sGwPlHIbIZ0vzR4S+w8fh9F8LAjyhvJROF+DvwOi9z5y6tcIVKvQ2Q2Bvq8wRqpLkH0IHLXQJ24p1I07FzYvYNgvdm5X6M2/4nvjNe5xUVN/vdRwatfsbwupCF94xbEkL9brdcqkBy14a/Hlpaha58N+XN1uMQ2xav6+ryY1XdTtfBX1MenEWC1+ryWRr1zFG/G11zUtBhQVzvybavI/FFjR6aMWYtJyIPq2rFPzY2szVFEt0caTt36g/M/oLKIKAI+T+hOuiWjyLrQaRay5K5QRJvQxJva/QwwuX+wPhJ36nwPpCANH/e1Wkqa4GThOaTxw20/MxN0PtFGEqi7z0DbT0TL31A1cfUm0S6gnIhZwRNpmOQer+rXzX2WBE0dzeVs2AlyN83/NmcL1QV7T4aik8znHdW+g+6ejF03YJE61cI2BhjqrFga7ZUzfsJahTZKkftJEF4HhJAFFLvhcTe4Q+Nvwm6lqJ934TC4xDZGGn+JJKsnlytpWUu0CJXHuP1noEmdkIi4+9+nAy349Cb8jKYRF+HdC117YWQCR4/TnkO9efXZ7Pwt2CzyZjnpEU0ezXS8oWGDMsYs26zBPnZktyD0EAguuWslnRQvwd/4Ar8ntPxB65B/bAK4vNUci/CZ7ai0H4pXtvXxg06JLYtXucP8da/H2/BdeMGWoCrWxVKYfA3kx31yKO05MpV+Bk0/yD+yv3Q5VujK3bA7z1vWon6IpMI1JLvofL3LoHYtq6P5nzi/5fw6LAAxWdnezTGGAPYzNaskebPobl7g2Rk13QaiSJtX5u1MWjxGXTVIcF2/0HgZlcRv+s6JGQHm/qZIBcp6yqsRzaYtbFOh3idaNuF0HOiW9ZTgCK0nomXfGcdrlggvCVRKaSkwvj87C3Qdxb4GdysjI6cWzOQuQrV1XX5vLiNH/cFNdEywc7Y+Kx+NmdM9I1VipsmITbJnpHGGDPDLNiaJRJZCAt+i2Z/CcVHIPIaJP2hWU2m1p7TR9qrAJAFP4/2nYe0X1B+bP7PbvckAvjQW0KbP47X/PHaxuD3QOlliGxSlxk9L7Unmrg3yN/yIfEOxKvTTsLEbq7lTsUyXCxorD05mn8Qek6lPF9srEHI/hI/8irXmkbSSPpwSOxR80478TphwW9g8Ldo4TGIvApJvb8hRXRrJdHN0ORersn28OsZBa81fBeqMcbMAtuNuI5QzaPLt6Oydx0gTXjr/3XUsTl0xU7BbrbRUq5R8DRqLqkW0d4zXZ0ribkctvSRrnL4PN6W7/d9M9hlmifYjgjpD+O1Tj43yO9eDPm7J3Gkh+uHGGy0kBSkDsVrPXXK416bqZZcAdXMUjdTl9gDaT7B/cJjjDF1ZLsR13mC+7IOCbYYU1E9dw/huU+DaPa66QVbfd+E7E24ZPIgWMgsRSPrIU1HT/l8c4XX8lk0uSeavQXwkdR+SGy7qZ0ktHtAGJ+yHa2ahcxP0aaPIJGNpnbNtZhIBGk6BpqOafRQjDEGsAT5dYZILGhbMja+jkPqA2Nuq1anSkOqrE9MVSG7lMplsmxQgHR+k9i2eK2n4LWeNvVAC4LOBBP1X6xyv0SCPofGGGPmKgu21iHSdhZEXhW0d0mCpCG2DdLy2fID4zuHJxlLGknuO40rF4ImxCH8NdM439pFmj4WJKWP/t8xAd5GuCr9XRDbnvCJaIF65aQZY4yZEbaMuA5xidA3Q/7PUHoOoltC7E0VOVPitaGtX4Tes3HJ3yUXmMV3gcSuU7+uxNHI5lD6d+WdsW2n81TWKhLdDLp+EdT4egi8BUjT8WUNnbX4b3Tl/pQn4wtI0gXHpoxqzgXyXpf1RjTGNJwlyJuqtPg0mr0B/H4kuRfEd5l2Mrvm7gmaQ+dw+WAekEC6rpze0ts6yM/eCr2nMLxDVDqQzu8j0dc1emhzhmoJ7TsfMj91N0gcmj+L13REYwdmjFknVEuQt2BrlqmWIP8Q6BqI7eBa9KwjtPA3tP+7UHwGolsjzZ9AYq9v9LDmFdU8FP7ulh2jW83rnZz14Pee5/IDR+cWSgpp/RqSem/jBmaMWSfYbsQ5QIvPod1HBbWuBDSPNh2L13Jio4c2KyS2HdJxSaOHMa+JxCH+lkYPY05SLbhyD4zZxKFZtP8iC7aMMQ1jCfKzRFXR1ceBvxx0IKhhlYfMj9HBOxs9PGPmP+2nap9Hf/msDsUYY0azYGu2FJ8EfwUV9as0i2aWNmRIxqxVpA281vD7YlvP7liMMWYUC7Zmiw5QtVaS9s7qUIxZG4l40HwykBxzTxJp/nwjhmSMMYDlbM2e2DaEV2VPQtJySYyZCV76A6jXhvZfBKWXILY10vJZxEqMGGMayIKtWSKSQFvPgp7TcH30fLejLLIZkj6k0cMzZq0hyd2Q5G6NHoYxxgyzYGsWean90OgWaOYa8Fcgid0htR8iiUYPzRhjjDF1YsHWLJPYG5C2Mxo9DGOMMcbMEkuQN8YYY4ypIwu2jDHGGGPqyIItY8yco/5q1O9v9DCMMWZGWM6WMWbO0PyjaM/JUHrB/RzfCWk/D/E6GzwyY4yZPpvZMsbMCVpahq7+CJSeBQruT/5etPsoVMNq1BljzPxgwZYxZk7QzLWgY3sbFqH0IhQeaciYjDFmJliwZYyZG4rP4Ar+jiUu4DLGmHnKgi1jzNwQXwSkKm/XkjWSNsbMaxZsGWPmBEkdAF4L5Q3bk5B4JxJ9baOGZYwxNbNgyxgzJ4jXjHTdAKkDQDrB2wiaP4G0f6vRQzPGmJpY6QdjzJwhkYVI21eh7auNHooxxswYm9kyxhhjjKkjC7aMMcYYY+rIgi1jjDHGmDqyYMsYY4wxpo4s2DLGGGOMqSMLtowxxhhj6siCLWOMMcaYOrJgyxhjjDGmjizYMsYYY4ypIwu2jDHGGGPqyIItY4wxxpg6smDLGGOMMaaOLNgyxhhjjKkjC7aMMcYYY+ooWsuDReR84H1AHngGOEZV14Qc9xzQB5SAoqouquW6xhhjjDHzRa0zW7cD26jqdsBTwKnjHLubqm5vgZYxxhhj1iU1BVuqepuqFoMf7wc2qX1IxhhjjDFrj5nM2ToW+E2V+xS4TUQeFpElM3hNY4wxxpg5bcKcLRG5A9gg5K7TVfWm4JjTgSKwtMpp3qGqL4nIesDtIvJPVf1jlestAZYAbLbZZpN4CsYYY4wxc9eEwZaq7jne/SJyNLAfsIeqapVzvBT8d4WI3ADsCIQGW6p6GXAZwKJFi0LPZ4wxxhgzX9S0jCgiewMnAe9X1UyVY5pEpGXo78C7gX/Ucl1jjDHGmPlCqkxGTe7BIk8DCWBVcNP9qvpREdkI+IGqvldEXgPcENwfBX6qql+d5PlfAZ6f9gAbZwGwstGDMFNi79n8ZO/b/GPv2fxj79nkba6qC8feWFOwZcKJyENW4mJ+sfdsfrL3bf6x92z+sfesdlZB3hhjjDGmjizYMsYYY4ypIwu26uOyRg/ATJm9Z/OTvW/zj71n84+9ZzWynC1jjDHGmDqymS1jjDHGmDqyYKsOROR8EfmniPxNRG4QkfZGj8lMTEQOEpHHRMQXEdt5M4eJyN4i8qSIPC0ipzR6PGZiIvJDEVkhIlZncZ4QkU1F5E4ReTz4t/HTjR7TfGXBVn3cDmyjqtsBTwGnNng8ZnL+ARxAle4GZm4QkQhwMbAPsDVwmIhs3dhRmUm4Ati70YMwU1IEPqeqWwNvBz5h/69NjwVbdaCqt6lqMfjxfmCTRo7HTI6qPqGqTzZ6HGZCOwJPq+qzqpoHrgH2b/CYzASCfrjdjR6HmTxVfVlV/xL8vQ94Ati4saOanyzYqr9jgd80ehDGrEU2Bl4Y9fOL2BeAMXUlIq8CdgAeaOxI5qcJG1GbcCJyB7BByF2nq+pNwTGn46Zhl87m2Ex1k3nfjDHGjBCRZuA64DOq2tvo8cxHFmxNk6ruOd79InI0sB+wh1p9jTljovfNzAsvAZuO+nmT4DZjzAwTkRgu0Fqqqtc3ejzzlS0j1oGI7A2cBLxfVTONHo8xa5kHgS1E5NUiEgcOBX7Z4DEZs9YREQEuB55Q1QsbPZ75zIKt+rgIaAFuF5FHROSSRg/ITExEPigiLwI7AbeIyK2NHpOpFGw++SRwKy5h92eq+lhjR2UmIiJXA/cBbxCRF0VkcaPHZCa0C3AksHvwXfaIiLy30YOaj6yCvDHGGGNMHdnMljHGGGNMHVmwZYwxxhhTRxZsGWOMMcbUkQVbxhhjjDF1ZMGWMcYYY0wdWbBljDHGGFNHFmwZY4wxxtSRBVvGGGOMMXX0/wGuc3Vc5wHdcQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,10))\n", "plt.scatter(scaled_df['x'],scaled_df['y'], c=ms_kmeans.labels_);\n", "plt.scatter(ms_kmeans.cluster_centers_[:,0],ms_kmeans.cluster_centers_[:,1], c='r', marker='h', s=100);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
Question: Is this expected or did something go wrong? Should we always scale our data before clustering?
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Lessons:\n", " - Initializations matter; run multiple times\n", " - Total Squared distance should never get worse during an update\n", " - k-Means can struggle with clusters that are close together; they can get lumped into one\n", " - There's no notion of 'not part of any cluster' or 'part of two clusters'\n", " - [Visualization here](http://web.stanford.edu/class/ee103/visualizations/kmeans/kmeans.html)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Quality of Clusters: Inertia\n", "Inertia measures the total squared distance from points to their cluster's centroid. We obviously want this distance to be relatively small. If we increase the number of clusters, it will naturally make the average distance smaller. If every point has its own cluster, then our distance would be 0. That's obviously not an ideal way to cluster. One way to determine a reasonable number of clusters to simply try many different clusterings as we vary **k**, and each time, measure the overall inertia." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "wss = []\n", "for i in range(1,11):\n", " fitx = KMeans(n_clusters=i, init='random', n_init=5, random_state=109).fit(scaled_df)\n", " wss.append(fitx.inertia_)\n", "\n", "plt.figure(figsize=(11,8.5))\n", "plt.plot(range(1,11), wss, 'bx-')\n", "plt.xlabel('Number of clusters $k$')\n", "plt.ylabel('Inertia')\n", "plt.title('The Elbow Method showing the optimal $k$')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Look for the place(s) where distance stops decreasing as much (i.e., the 'elbow' of the curve). It seems that 4 would be a good number of clusters, as a higher *k* yields diminishing returns." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Quality of Clusters: Silhouette\n", "\n", "Let's say we have a data point $i$, and the cluster it belongs to is referred to as $C(i)$. One way to measure the quality of a cluster $C(i)$ is to measure how close its data points are to each other (within-cluster) compared to nearby, other clusters $C(j)$. This is what `Silhouette Scores` provide for us. The range is [-1,1]; 0 indicates a point on the decision boundary (equal average closeness to points intra-cluster and out-of-cluster), and negative values mean that datum might be better in a different cluster.\n", "\n", "Specifically, let $a(i)$ denote the average distance data point $i$ is to the other points in the same cluster:\n", "\n", "
\n", "\n", "
\n", "\n", "Similarly, we can also compute the average distance that data point $i$ is to all **other** clusters. The cluster that yields the minimum distance is denoted by $b(i)$: \n", "\n", "
\n", "\n", "
\n", "\n", "Hopefully our data point $i$ is much closer, on average, to points within its own cluster (i.e., $a(i)$ than it is to its closest neighboring cluster $b(i)$). The silhouette score quantifies this as $s(i)$:\n", "\n", "
\n", "\n", "
\n", "\n", "**NOTE:** If data point $i$ belongs to its own cluster (no other points), then the silhouette score is set to 0 (otherwise, $a(i)$ would be undefined).\n", "\n", "The silhouette score plotted below is the **overall average** across all points in our dataset.\n", "\n", "The `silhouette_score()` function is available in `sklearn`. We can manually loop over values of K (for applying k-Means algorithm), then plot its silhouette score. This should allow us to make a reasonable choice for selecting the 'optimal' number of clusters." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.metrics import silhouette_score\n", "\n", "scores = [0]\n", "for i in range(2,11):\n", " fitx = KMeans(n_clusters=i, init='random', n_init=5, random_state=109).fit(scaled_df)\n", " score = silhouette_score(scaled_df, fitx.labels_)\n", " scores.append(score)\n", " \n", "plt.figure(figsize=(11,8.5))\n", "plt.plot(range(1,11), np.array(scores), 'bx-')\n", "plt.xlabel('Number of clusters $k$')\n", "plt.ylabel('Average Silhouette')\n", "plt.title('Silhouette Scores for varying $k$ clusters')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing all Silhoutte scores for a particular clustering\n", "\n", "Below, we borrow from an `sklearn` example. The second plot may be overkill.\n", " - The second plot is just the scaled data. It is *not* a PCA plot\n", " - If you only need the raw silhouette scores, use the `silhouette_samples()` function" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "from sklearn.metrics import silhouette_samples, silhouette_score\n", "import matplotlib.cm as cm\n", "#modified code from http://scikit-learn.org/stable/auto_examples/cluster/plot_kmeans_silhouette_analysis.html\n", "\n", "def silplot(X, clusterer, pointlabels=None):\n", " cluster_labels = clusterer.labels_\n", " n_clusters = clusterer.n_clusters\n", " \n", " # Create a subplot with 1 row and 2 columns\n", " fig, (ax1, ax2) = plt.subplots(1, 2)\n", " fig.set_size_inches(11,8.5)\n", "\n", " # The 1st subplot is the silhouette plot\n", " # The silhouette coefficient can range from -1, 1 but in this example all\n", " # lie within [-0.1, 1]\n", " ax1.set_xlim([-0.1, 1])\n", " \n", " # The (n_clusters+1)*10 is for inserting blank space between silhouette\n", " # plots of individual clusters, to demarcate them clearly.\n", " ax1.set_ylim([0, len(X) + (n_clusters + 1) * 10])\n", "\n", " # The silhouette_score gives the average value for all the samples.\n", " # This gives a perspective into the density and separation of the formed\n", " # clusters\n", " silhouette_avg = silhouette_score(X, cluster_labels)\n", " print(\"For n_clusters = \", n_clusters,\n", " \", the average silhouette_score is \", silhouette_avg,\".\",sep=\"\")\n", "\n", " # Compute the silhouette scores for each sample\n", " sample_silhouette_values = silhouette_samples(X, cluster_labels)\n", "\n", " y_lower = 10\n", " for i in range(0,n_clusters+1):\n", " # Aggregate the silhouette scores for samples belonging to\n", " # cluster i, and sort them\n", " ith_cluster_silhouette_values = \\\n", " sample_silhouette_values[cluster_labels == i]\n", "\n", " ith_cluster_silhouette_values.sort()\n", "\n", " size_cluster_i = ith_cluster_silhouette_values.shape[0]\n", " y_upper = y_lower + size_cluster_i\n", "\n", " color = cm.nipy_spectral(float(i) / n_clusters)\n", " ax1.fill_betweenx(np.arange(y_lower, y_upper),\n", " 0, ith_cluster_silhouette_values,\n", " facecolor=color, edgecolor=color, alpha=0.7)\n", "\n", " # Label the silhouette plots with their cluster numbers at the middle\n", " ax1.text(-0.05, y_lower + 0.5 * size_cluster_i, str(i))\n", "\n", " # Compute the new y_lower for next plot\n", " y_lower = y_upper + 10 # 10 for the 0 samples\n", "\n", " ax1.set_title(\"The silhouette plot for the various clusters.\")\n", " ax1.set_xlabel(\"The silhouette coefficient values\")\n", " ax1.set_ylabel(\"Cluster label\")\n", "\n", " # The vertical line for average silhouette score of all the values\n", " ax1.axvline(x=silhouette_avg, color=\"red\", linestyle=\"--\")\n", "\n", " ax1.set_yticks([]) # Clear the yaxis labels / ticks\n", " ax1.set_xticks([-0.1, 0, 0.2, 0.4, 0.6, 0.8, 1])\n", "\n", " # 2nd Plot showing the actual clusters formed\n", " colors = cm.nipy_spectral(cluster_labels.astype(float) / n_clusters)\n", " ax2.scatter(X[:, 0], X[:, 1], marker='.', s=200, lw=0, alpha=0.7,\n", " c=colors, edgecolor='k')\n", " xs = X[:, 0]\n", " ys = X[:, 1]\n", " \n", " if pointlabels is not None:\n", " for i in range(len(xs)):\n", " plt.text(xs[i],ys[i],pointlabels[i])\n", "\n", " # Labeling the clusters\n", " centers = clusterer.cluster_centers_\n", " # Draw white circles at cluster centers\n", " ax2.scatter(centers[:, 0], centers[:, 1], marker='o',\n", " c=\"white\", alpha=1, s=200, edgecolor='k')\n", "\n", " for i, c in enumerate(centers):\n", " ax2.scatter(c[0], c[1], marker='$%d$' % int(i), alpha=1,\n", " s=50, edgecolor='k')\n", "\n", " ax2.set_title(\"The visualization of the clustered data.\")\n", " ax2.set_xlabel(\"Feature space for the 1st feature\")\n", " ax2.set_ylabel(\"Feature space for the 2nd feature\")\n", "\n", " plt.suptitle((\"Silhouette analysis for KMeans clustering on sample data \"\n", " \"with n_clusters = %d\" % n_clusters),\n", " fontsize=14, fontweight='bold')" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "For n_clusters = 3, the average silhouette_score is 0.4269854455072775.\n" ] }, { "data": { "image/png": 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eAbyfIRofIrLAJUevUNX3AgfhXuhh4C1Z5EzG9/nkiKiIjBeRuVmiS7a/+d5/ZWocIjIOZ3xco6r/rapH0le3kvVnONvXcBlt6+gzPM8SRzlwWg7PJteFglPk+J598tkXBjlKvQviju56RVUvVtV3BMKuwpX5kHXCEHiniJT6gYLkjEIXbt1dOpLtQnGbx5Jl+lZcmd6d4bngC/4c6J3xWZbiL9mJAreh7RjcZrtUMtW7A3GGG8BHVPUo+k7OyIXkqGDyJI1/4zZ/hYCPebflA4TRK5uIpL6P8knyiJu5IvK+pGPSRshAcPAlOUr83lRP/riUOlX9qqqehuvcgOvAJI+qS+ZLsr4lGWyd6qcnctRT6RiHa2vZ/mZmelhEZorIuSISHKwL6pjhLftc5o/T/dG3OLsOp+A20TeP/bOAv+XebXnAbahrBabievvJqaCX6VsDsZa+zSInB55di5sqjAfc5np/5wbcduJ6eDW46b2gvMn1LXGf1hu9+6RA/PW4ef/kWrVfBMLehBu5SG78uDxLvj4eiOsV3LR38rmMeZgur4G3p6TvVfrWzfTmNZnXnUzArWNJ+v9+yv0tuAa4xuddMi8ez1SuOOXXjXuhJneiKm6xtmTJl43e300Bt3SbRZLhpd0skmPdvinVP84YTqblMfxi3YBcfwj4nRy4X55aVrj1bMkF6Qkv96uBvF6Ge1lX++sen84G+hbA3+TDmhsI/4JM+UXfOrAa3Cjk1sBz2RaSBzdl1OPaUgfZN4tcFXjmKV9P4kF/9K2tavBhBjcjfHs42hcZTgrIVCdIr6vS+QtuFtmAq2vtqf4y5OdgN4tk1IcZwr8VN0q1Ade+kov+23Dtecg6IUNZp8szDcRZS//NIv+XRb9Pxi3IT9b5F3H6O7khY26WdP8hEN4a3EhP8rlknTuIvnW4zbg2FdxQkazTEiiXVlwd/gxuwCHZ/jq8fNvJoVx8uB8M+I3hdMO0gJsC7xmg7p0e8LsR1ybmkaMeyCDXstTyz7W+Bfym2yyyHkhkKe8IfXZDG85Q7kzj71s4PbkZV6eTZRajbyPpZ1PK/0ncOsKc6hRp6nGuempP/OFGqRWnV14KpCFZd+cMZ3y782WRr+HWB7biGth0n8FX4XY7Djvq1n0sxS20bcL10OpwyvU4dWt1UNV/evlqcMO3q/11anh34KYlH8b1FA/GVZC76D+q8DVcxerBTX0f7p+vx1XAapySWILLB4D/5++txBmw++NG1K4lc88W3MvrES9HKa7HOaTDk1X1Afq2wpfg8uGTg3i+Cb+WyfPbFC+/wVXSSbjh6jrcovz3Zwn2DtzxCxW4fGzF1aNT1beAQcjXhRtp+jkubxfiGs4dwFJV3TKY8AaI60rcWitwI6H/TDeN4f3uVLf2K1NY3Tjl+0Oc8lwATMEZhN8CXvZ5cRauRxvHjdydx8Dr5zLxPK5D042r5xXe7aO+nmTis7gRjOdx9XEeznhYm+WZ7+AMkibcC+o24PcpfupxOym3eT9zcC+O7+FHlvdQ+xoOvoZbD9rs5boL1xZg12nqVD4O/C9uSnYWrlPwCHCyqv5tGGT7K26NWRGufUVxRzqdqqpNu6sTBslPcUc5jceNPl9LGj2cRN2atqU4fV6Lq6fjcG3gUrJP71+Iq2MduPVg1+LXCwbCX41b5rIBp+934kdmU/wpboRuHS6PjsW9eBtxI46rcKN4PfRN6ebCI4HfK1W1TVV30NeWFNfJzMZ9uDWd9bg2swTXLvOKb6tLgetw7XUuruzuz/JMDDcY8zxOv1XiZ3ZSeNSHI7jlRBHchpizfJmCa39349rkQly+hHezTkEOemoPsQOnV2pxo6XTccbgLcASVd2U5dlBI4N89xpjDBH5Im6d3DPqppEMY0wjItOALlVt9tcluBfLobgzNt+YT/nyTeCrF99Ut6nQMIxRzG5tFjH2XUTkTFxv+VTv9P08imMYo4k34tZxPoMb0T4G12OP4ZYQGMY+hYi8i8x1+69+xsTYSzFD0MjEItwC753A91T1D3mWxzBGC8n1d4tw054NuI1B31XV/+RTMMPYQ0yhb3d0KqszuBt7CTY1bBiGYRiGMUbZnc0ihmEYhmEYxl6MGYKGYRiGYRhjFDMEDcMwDMMwxihmCBqGYRiGYYxRzBA0DMMwDMMYo5ghaBiGYRiGMUYxQ9AwDMMwDGOMYoagYRiGYRjGGMUMQcMwDMMwjDGKGYKGYRiGYRhjFDMEDcMwDMMwxihmCBqGYRiGYYxRzBA0DMMwDMMYo5ghaBiGYRiGMUYxQ9AwDMMwDGOMYoagYRiGYRjGGMUMQcMwDMMwjDGKGYKGYRiGYRhjFDMEDcMwDMMwxihmCBqGYRiGYYxRzBA0DMMwDMMYo5ghaBiGYRiGMUYxQ9AwDMMwDGOMYoagYRiGYRjGGMUMQcMwDMMwjDGKGYKGYRiGYRhjFDMEDcMwDMMwxihmCBqGYRiGYYxRzBA0DMMwDMMYo5ghaBiGYRiGMUYZ1YagiFwuIrfu4TjeLCJrAtcbReSkkYp/NCAiy0RkyzCGd5yIrBWRNhF5z3CFmxJHbzmNJkTkPBH5Z77lABCRC0Tk3/mWwxj9jJSuE5FLReSGPRzHTSLyLf+7n34fxjjy0s4Hq1tFZK6IqIhE9rBcy0Xkwj0Zx54gWFdy8DsieZkP8moI+sqc/EuISGfg+ryRkEFV/6WqB45EXLmSrnKOFsMnx4ZzBXCNqpar6p9GKM5Rgarepqon51uO4cQrvwPyLYcxdEaDrgVQ1atUdcQMhuHQ7+kMgDy286y6dbS8J4bCvtRxHe7BlT1NXg1BX5nLVbUc2Ay8O+B2Wz5lM3aLOcArQ3lwb+5t7c2y7yksT0YHpmv3GYasW/d1TNcMnVE9NewpFJGbRaRVRF4RkaOTN0SkSkTuFpE6EdkgIp/NFIiIvFNEVvlwtorIxd59IMs9W/wH+yHxJn/v9MC9fkPlqb0dETlIRB4QkQYRWSMi7/PuFwHnAV/yvfV7ReQWYDZwr3f7kve7VESe8PGvFJFlWdK/UUQu8XnQKCI3ikhxBr9p05VOtjTPrgfmBWQt8uX0F5/WdSLysYD/y0XkDyJyq4i0ABekhJctziNE5EURaRaRO4LpEZHTROQFn4YnRGRRhrReKyI/SHH7s4h80f/+iois9+W/SkTeG/B3gYg8LiI/EpF64PI05fwmEXnGy/iMiLwppUxOClz3Ts+JSLHPk3qfhmdEZFqGNMwSkT/6dlAvItek8bPLqEawjorIASLyqJdzp4jc4d0f895X+vw/d6D89en6soi8CLSLSMRfb/X5uEZE3pYuLUZe2W1dKyJLRGS7iIQDbu/1dSHnOp6tbfjru3w8zSLymIgcmkGeXv0uIudK/5HRbhFZ7u+9S0SeF5EWEakWkcsDwSTbQJN/7o2DbOfLReRKrytaReSfIjI5UyGIyMfE6ckGcXqzyrvvoltTnkv7nvCcJyKbfdv+auCZkPTpuHoRuVNEKrPIdoZv9y3+mVPS+Ektq366x+fd6z4vNoibZj8Y+CXwRi97k/dbJCI/8LLvEJFfikiJv7dMRLZ43bIduNG7Z9NNbxCRFT7uO4C070DvN+zj3ikirwPvSrn/YRF51Yf1uoh83LuXAX8DqgJ1rUpEjhWR/3i5tonINSJSmCn+EUVVR8UfsBE4KcXtcqALeCcQBr4DPOnvhYDngK8DhbgG8jrwjgzhbwPe7H9PBI70v5cBW9LJMUD8BcA64FIf/4lAK3Cgv78cuDAQ7gXAv/3vMqAa+DAQAd4A7AQO8fdvAr6VLX+A/YB6L1sIeLu/npIlf18GZgGVwOPJOIJ5kEO6dpFtoLLEKdJf4BrdEUAdcGIgj6PAe3w6StKElyk/ngaqfHpeBT7h770BqAWW+HI73/svShP2Cb4sJFA3OoEqf32OjyMEnAu0AzMCZRoDPuPLsSSlnCuBRuCD/v5/+etJGfLpcuBW//vjwL1AqU/DUcC4NPKHgZXAj3D1qhg4Pk2dmwsoEAk8uxxfR4HfAV/16ewNw99T4IDAddb89b9fwNW1EuBAn8dVAVnm51vnjNW/1HoXqHvDpWvXA28PXN8FfGUwdTxb2/DXHwEqgCLgx8ALgXs3kUa3pcg4DqczPh7wd7hP6yJgB/CeQH1NbTvBtjVQO1/u82Shbw/Lge9myLsTce+CI33afgY8lq3sspVtQPZf+bgXA93Awf7+54AngZk+vuuA32UI+1igGfeuCeHeQQcF0pjUJall1Zt/OB3VQt/7ZAZwaGqeBp79EfAXn8cVuPrynUCZxYDvedlLyKKbcHV3E/AF3HvubNy7J+37DPgEsJq+d+YjwXqAMwznAwK8Beggg13h3Y4Clvp8mIurf5/Ptz5Q1b1iRPDfqnq/qsaBW3AVGeAYnNFzhar2qOrruMr+/gzhRIFDRGScqjaq6ordjH8pUI5r0D2q+jBwH04JDMRpwEZVvVFVY6r6PHA3zujIlf8G7veyJVT1AeBZnCLPxDWqWq2qDcC3M8i6O+naBRGZBRwHfFlVu1T1BeAG4EMBb/9R1T/5dHQOIvifqmqNT8+9OCMT4CLgOlV9SlXjqvpbnPJbmiaMf+Ea95v99dlenhoAVb3Lx5FQ1TuAtTiFmKRGVX/myzFV9ncBa1X1Fn//dzjF8u4c0hYFJuEMsLiqPqeqLWn8HYszVP9XVdt9Hg9lnU0UN+1UlUMYueTvT31d6wTiOEV8iIgUqOpGVV0/BBmNPctw6drf4fWFiFTgdNLv0vjLtY7vgqr+RlVbVbUbZ3gsFpHxuTwrIiHgdmC5ql7nw1uuqi/5dv6il/ctuYRHbu38RlV9zbeHO+nTVamcB/xGVVf4tF2CGyWbm6Msmfimqnaq6kpcxzFZtp8AvqqqWwJ5ebakn2b9qJftAZ9PW1V19RBkSQCHiUiJqm5T1bRT3SIiOF3zBVVtUNVW4Cr617sE8A1V7fZ5m003LcUZgD9W1aiq/gF4Jouc7/N+k+/M7wRvqupfVXW9Oh4F/knfe2QXfP1+0teRjTijO9c6tkfZGwzB7YHfHUCxr6RzcEOvTck/3ChW2ukz4CycQtokbgrsjbsZfxVQraqJwP1NuF7SQMwBlqTIfh4wPUeZkmGckxLG8bgeViaqU2StSuNnd9KVjiog2YgzhVfN0Egtm3L/ew7wPyl5M4s06VVVBX5Pn6H7AaB3zZSIfCgwzdAEHAYEp3WyyV6FS2uQXPPyFuAfwO9FpEZEvi8iBWn8zQI2qWoshzCz8SVcz/ZpcdOCH8niN5f87c0XVV0HfB73kqkVkd8np7uMUcVw6drbgTP91OWZwApVTW0HkHsd74efsvuun5pswY34QP92mY1v40aXeqe3xU1pPyJu6rsZZyDlGl4u7TyTrsoalqq24WZ6hqp/B4p/DnBPoFxfxXXc0pXtLNzI5pBR1XbczMongG0i8lcROSiD9ym40eLnAvL93bsnqVPVrsB1Nt1UBWz1Oj9JunqZpIpd35m9iMipIvKkuCn8Jpx9kW3Kf6GI3CduSUMLzqjNtY7tUfYGQzAT1cAGVZ0Q+KtQ1bQjYqr6jKqeAUwF/oTrle0ONcAs37tMMhvY6n+34ypxkqCRVw08miJ7uap+MiluuiSkXFcDt6SEUaaq380i86wUWWuGkK50smWjBqj0IwPpwsslzMHGWQ18OyVvSn1PPR2/w/WC5+CmFO4G8Ne/Av4fbppnAm56XXKUrQanmILkVEd8j/WbqnoI8CbcKHJwFDWY1tkZevBB2v3/TPFtV9WPqWoVbsruF5J5p3Au+dsvX1T1dlU9HpcfipvOMfYOBqtrV+FemqfiOla3Z/CXrY5n058fAM4ATgLG46bZoH+7TIuIvB/X6TtbVaOBW7fjpiBnqep43Hq1ZHgD6Z+B2vlg6BeWX282aRBhDUVXnppStsWqmi6+atxU6EBkKztU9R+q+nbcoMVqnI5NJ/tO3DKdQwOyjVe34YkMz2TTTduA/fxIY5LZWdKxjV3fmYBbu4h7T/wAmObfDfeTvc5c69O7QFXH4TpTA9bZkWC0GYIFIvK0uI0Pr+Dm2TPxNNDqF4qW+F7iYSJyTKpHESkUtyB1vG/8LSdATBcAACAASURBVLgh5d3hKVzP6ksiUiBuo8a7caNL4NZInSkipf6F+tHAs/cBC0Xkg/7ZAhE5RtyCWXDrU+alxJfqdivwbhF5h097sbjFszOzyPxpEZkpbjHwV4E7hpCudLJlRFWrgSeA73gZF+HyYjBnlg0qTpxi+YTv5YuIlIlbDF6RzrO6qfmduCnrf6hqk79VhmvQdeAWB+NGBHPlflw5f0DcholzgUNw5Q+ujrzf5/PRuGlpfFxvFZHDxS26b8FNo6Wrs0/jFNZ3fTqLReS4NGmsw71M/tvXl48QUOoick6g7jT6dCfjS83/QeWviBwoIid65dmFU+672/6MkSNnXRvgdtz6sxNwawR3YYA6nrFt4EbzunEjZaW4kZUBEZE34Nbcvce3hyAVuJmLLhE5FmdsJqnzcmXSQQO188HwO+DDInKEby9XAU/5qcRcGKyu/CXwbd/pRUSmiMgZGfz+2sv2NnGbTPbLMJr3AnCCiMwWN11/SfKGiEwTt+GkDFeGbfTXMzPFb6Dws1K/An4kIlP98/uJyDuypCebbvoPbk3hZ329OpP+y3xSudP7nSkiE4GvBO4V4pa71AExETkVCB4ntAOYJP2XK1Tg6nmbz7dPMkoYbYZgFLeJYDFuDcUBZBg6VbeO5TTvbwN9L/JM60Q+CGwUNyT7CdxU7JBR1R6cgXSqj/sXwIcCayZ+BPTgKsRvCUw3+mnSk3FrHWpww/bJBa/gGtwh4oa2k2dFfQf4mne72BtYZ+B6FXW4ntD/kr1Mb8etY3gdN8S/y9l8OaQrnWwD8V+4XnsNcA9uTceDOT476DhV9VngY8A1OKNmHSm7kdNwO26EoXf0wo9sXI1TIDtwi8kfz1VoVa3H1dH/wb20vgScpqo7vZfLcMZYI/BN+o+cTAf+gFMcrwKP4qbSUuOI48rrANyxIFtwUy/p+BiujtQDh+IM9CTHAE+JSBtuZORz6taCgZvS/a3P//cNIX+LgO/i6tN23Kj8JdB7MK8dhzGKGYKuhb41dg8H6nsq2ep4trZxM27EcSuwCrfZIRfOwG0G+7f07eb8m7/3KeAKEWnFbYrpnTFS1Q7cdPLjvg30W2ucQzvPGa8XL8ONNm3D5UGmtZjp6PeeyMH/T3Dt/Z8+7U/iZkXSyfY0boPjj3CbRh5l15FQ1K1XvwN4EbfJKGgQh4Av4t4FDbg6kjSIHsYdjbNdRJJ592WcfnnSv7sfxG0+S0s23eTfbWf66wacnvxjprBwRuU/cGsqVwT9+nf4Z3H1pBHXcfhL4P5qXBt43ZdFFXCx99fqw+43ECNuSc6InenZL+7+0+WjBxEpBf4NfFJVn8q3PHs7IrIRt6trMAaYYRiGYRj7MKNtRDC5EPgF3BbwB8wINAzDMAzD2DOMOkNQ3ZbvI3DnGh0rIoNZk2UYhmEYhmHkyKj9JIuqNonII8ApuJ2axm6gqnPzLYNhGIZhGKOLUTUi6HcsTfC/S3AnmA/lwErDMAzDMAxjAEbbiOAM3O7EMM5IvVNVh7IF3zAMwzAMwxiAPbJrePLkyTp37txhD9fYi1nvD6Sfn8t5pIaRnueee26nqk4Z2OfeielOwzD2BNl05x4ZEZw7dy7PPvvsngjaMIwxjIhk+yTUXo/pTsMw9gTZdOeoWiNoGIZhGIZhjBxmCBojwyWXuD/DMAzDMEYNo22zSM60J55je/wqhIJ8i2LkwIwnHgZgW3RDniXJN0pEpjI78rN8C2IYhmEYe68hGGULXbqaCNPyLYqRA0oUgKjW5lmS/KL00EN1vsUwDMMwDGAvNgQBQlJKmLJ8i2HkgPhVCGEZ2+UV1XbK5U35FsMwDMMwAFsjaBgjjFAZen++hTAMwzAMYC8fETT2HmL7leRbhFFCgpCMy7cQhmEYhgGYIWiMEDt++4Z8i5B3YtpAgUylkJn5FsUwDMMwAJsaNowRQ6WHyeGLCEtFvkUxDMMwDMAMQWOEmPw/rzD5f17Jtxh5Q1VREhTLwnyLYhiGYRi92NSwMSIUrWzOtwh5JUE7hcyiWA7KtyiGYRiG0YuNCBrGCJCglcrQefkWwzAMwzD6YYagYexhotQRlolMDL0336IYhmEYRj/MEDSMPUhCuwhRwvzIHxCxlRiGYRjG6MLeTMaI0LOgPN8ijCiqCWLsBIkzOXQRYRmfb5EMwzAMYxfMEDRGhLprF+VbhBElJnWUyVImhz5KaWhxvsUxDMMwjLSYIWgYw4xqHASqwt8kIhPzLY5hGIYxjKxZs4bbbruNVatWUVlZybve9S5OP/10RCTfog0JMwSNEWHKJ18ExsbIYJwGyuUEMwINwzD2MV5//XUuvfRSenp6ANi2bRs33HADjY2NXHDBBfkVbojYZhFjRChc20bh2rZ8izEiqCQYJ+/ItxiGYRjGMPPHP/6x1wgMcu+999Le3p4HiXYfMwQNYxhJaCeoUhY6Ot+iGIZhGMPMxo0b07r39PRQU1MzssIME2YIGsYwkdAOYjQyI/wNmxY2DMPYB5kxY0Za90gkwtSpU0dYmuHBDEHDGAZUlRiNTAtfzITwafkWxzCMfYRXm9u5d0sdT+1sJp7QfIsz5jnjjDPSbgp561vfyvjxe+cxYbZZxBgRuhfvnQ0kV+I0UhpaRGXonHyLYhjGPkBPPMFVr2zguYbWXrcZJUVcuWge00qK8ijZ2Oawww7j0ksv5eabb6a6upqSkhJOPvlkzj///HyLNmTMEDRGhJ1XH5pvEfYIcW0nTjMQZ7ycbl8PMQxjWLi7urafEQiwrbObn66p5ttHHJAnqQyApUuXsnTpUlpbWykpKSES2bv1/t4tvWHkkYR2oNLDlNDHKZFDKZOl+RbJMIx9hEd3NKZ1f7GpjaaeKBMKC0ZYIiOVioqKfIswLJghaIwI085/HoAdv31DniUZPhJ0UCFvY0r4onyLYhjGPkZUM68HjCaU9licJ3c20x1PcMykcUwpLhxB6Yx9CTMEjREhsrUz3yIMKwntIU4bEdk7d4kZhjG6OXbSOO7bunMX93nlJbze1skPXt1EVzwBwC/Xwgf3n8E5c6aNtJjGPoDtGjaMQRLXVmJSz7TwF5gS+li+xTHygIj8RkRqReTlDPeXiUiziLzg/74+0jIaezfvnzOdmaX9N4WUhsOcv/+MfkYggAI3b9jGmpbhP9C4qamJ+++/n3vuuYetW7cOe/hG/rERQcPIEdUEMeoQKWBW6CdUhI/Lt0hG/rgJuAa4OYuff6mqnSVkDInxhRF+dNRCHt3RxNrWDqYWF3LS9EpeaGztZwQGeXRHIweOKxs2Ge68806uu+46CgsLiUQi3HjjjZx77rmcd955wxaHkX/MEDSMHFBVomyjPPQmpocvoVD2y7dIRh5R1cdEZG6+5TD2bYrDYd5RNYl3MKnXLZrlLMFs9wZDfX09V1xxBXfeeSeJRIJQKERVVRVVVVX8/ve/58gjj+Tggw8elriM/GOGoDEidC3Ze7+0EdMGVLopYh7Tw182I9DIlTeKyEqgBrhYVV9J50lELgIuApg9e/YIimcMBVWlLRanNBwmHNr1YOE9zVGVFYQE0tl8x04eNyxxfO973+Ppp58mkXAjj4lEgi1btlBSUsLEiRP5+9//zurVq2ltbWXRokUsXrw47SHLxt6BGYLGiFD/7b2z9xjXdhBl/8itFMtB+RbH2HtYAcxR1TYReSfwJ2BBOo+qej1wPcDRRx9tn44Yxfy9Zid3bNrBzu4o4woinL7fZN43Z9puGUEN3VEe3tFAQ3eUQ8aXs3TyOCKhzMv3JxcXcsG8Kn6zvv93bU+YOoGjK3ffEKyurubVV1/tNQKD1NXVISLcfPPNzJw5E4C77rqLJUuWcMkllxAOh3c7fmPkMUPQMDKgqsSlkWmhL5kRaAwKVW0J/L5fRH4hIpNVdddtoMZewSPbG/j5a1t6r1uiMW7duB2Ac+dO73Xf0dnNf3Y2A/CmKROYmuFYl1XNbfx+43b+urWeioIwFQUR7t26k4PGlXHl4nkUZzGq3jtrKoeNL+fR2ka64wmWTh7PkZUVwzIq19zcTFNTE83NzXR0dBCJRCgoKEBEiEajbNiwgXnz5vV75qmnnuKhhx7i5JNP3u34jZHHDEFjRJj+vmcB2H7n0XmWJHdi1FIuxzExdFa+RTH2MkRkOrBDVVVEjsWd0FCfZ7GM3eB3m7ZT3d5FWyxOYUiYUlzIuIIIf9m6k7NmTyUSCnHT+hp+uqaaaCJBRUGESUU1XHTAfrx75pTecLZ1dnPta1v4T10Ta1o76E4koBOmFxcxu6yY1S3t/Lm6rp9xmY4F40pZMK502NP5xBNPsH79euLxOOFwuNcYLC0tpaCggNLS0rTf1H388cfNENxLMUPQGBHCDT35FmFQJLQTJMS08BcIiR3UavRHRH4HLAMmi8gW4BtAAYCq/hI4G/ikiMSATuD9qllOCN4HUVXWtHSgwMKK0rysp9tdOmNxXm5uoz0a5x81DXQl4r33Gnpi7F9eDEBHPMGjNfVc8sI6Erhiru3uobYrwnVrt3L0pHFMKizgh6s388C2el5ubiORUDrjCUIixFRpj3YQV6UsEubPW+p2e8p5KNTU1HDfffcxc+ZMNm3ahIggIvT09BCJRDj++OPZvn172mdtjeDeixmChpGGuDQxKfRRimR+vkUxRiGq+l8D3L8Gd7zMmOSVpjZ+uHoztV2uAzipqIDPHzibIyr3nk9yPbitnuvXbaUznmBjWycNPVGKQiHCfvmeolS3d7OwopTikPB/qzaSQEmoEvM7OVo0yo6ubh6va6KhO8rjdU009sQAiJM0BCEkQo8qa1raKQmHqOvq4VPPrOabi+ZnnFreE6xYsQJVZdq0afT09LBu3TrC4TBFRUXst99+7Nixg4aGBiZPnrzLs8cff/yIyWkML3agtGGkoBpFKGBy6Px8i2IYex3tsThXvLSh1wgEqO+O8q2XN9DYHc2jZLmzsa2Tn66pptOf19cai1MQEtpjcQiM60Y1wcHjyvhbTT0t0Rg98QSt0Tgd8QQd8QQt0Tg1nd3EEsqD2xsASA6cxX04CYWEKnF1v9tiCRp7ovyrtokfrNo4JPnbY3H+U9fEioYWmrp7+FN1LT9dvZk/bN5BszdE01Fa2jfV3NbWRllZGeXl5RQXF1NYWIiI9E4RBznuuOM48cQThySrkX9G1YhgdXU1H/rQh9ixYwciwkUXXcTnPve5fItljDGiUssEeQ8hGf71N4axr/PYjkY64vFd3LsTCZbXNvLeWaP/s4wPbm8I2ntERCgICURCREJCQp1bTJVHdjTyz+0NbOnopi0WJxSYIlWguSfGgvKSXqNyUmEBWzuccRgWZxAmjUIFQgKCUNfdw93VdXzl0P2pLOpveGXjb1t38uv1NXQnEnTFE7ze1sns0mLKC9zmk3uq6/jOEQcwu6wYVWVLRzeRkDCjpIg3vvGNXH/99bS3t9Pd3d0bpogwaZI7yzCRSHDCCSfQ3NzMrFmzWLJkCYceeuiQ8tkYHYwqQzASiXD11Vdz5JFH0traylFHHcXb3/52DjnkkHyLZuwmHW/ddSphNBKljgJmMD18cb5FMYy9kuZo5hGnbKNRw83Wji7+ua2B5miMQ8eX8ZapEykM5zYJ1hbrb8hOKS6gtS1GQUiYVVrM5KICXmpqZ1wkRGE4RKECOANQtW/UD2BGSRFbOrs5cFwpa1o6KAqHmFtWzCvN7YgIxQLdqqhCWATxU8VOjhgvNbXylmmVOcm9vrWDa9du6TVit3R00RaLsba1g8UTywmJ0BKNccO6rbxvzjSuWVPN1k5n8C2oKOULB83mkksu4fvf/z6lpaX09PQQCoWYPXs2JSUlrF+/nubmZh544AFCoRCvvPIKRx+992wANNIzqqaGZ8yYwZFHHglARUUFBx98sH3bcB+h8asLafzqwnyLkZGEdhFlGyHK2D9ys40GGsYQOWxCecZ7h2e5N5w8UdfE/3tmDX+sruWh7Q38dE01X3lhHZ2xXUcq07E4Rc7JRYVUlRQRQhhXEKHV7xzev9zrCYGpxQVEJERhSCgOhSgOh5hdWsxB48roTigfnldFod8wM6W4kMUTyimPhDlgXBmTCwuIhJwRGBbpXYdYEg73jiQmaY3GWNXcxs6uXTfgPZQyktnkDe+oJvoZ4c/Ut/CNF9f3GoEAa1s7uOzF9Rxy+OHceOONXHnllSxcuJCqqirq6+tZsWIFNTU1TJ8+nZA/57Czs5Orr76aeJoRYGPvYVSNCAbZuHEjzz//PEuWLMm3KMY+TkLbiUsrU0NfYHzonURk7/0KimHkm8MmlPPGyeN7z9JLcmRlBUeOwGaRWCLBta9tIZaySXttawf3bd3JOXOmZXy2Kx7n1g3beWh7A2tbOhCBWaXFFIVDzCwt5sL5VRw3ZSJrWzu4ecO2fs9OLS6kvjtKUTjE9OIiKgrClEbcdOy4gjAPbG9gXnkJbbE4FZEw8ytKGV8Q4S9b6hCgORonJPQ+E0KYU1bMzFK3M1lV+c36Gv5as5NoQhHgzVMn8NkDZ1PkLcf2FEM3+AWSZH7s7O5hY1sXEYFxhQVUlRRR7J+v747y5M5m3jx1Iu973/v497//zd///nc6Ozvp7OxERGhubmbGjBm9u4QbGhpYtWoVhx9++CBLyhgtjEpDsK2tjbPOOosf//jHjBs3PJ/MMfLLjHc/BcC2e0eXYR/TRhBhZuhHVIRt15thDAdfPmQuD2yv51+1TSjwpsnjOaVq0ogcMbK2tZOmDNPTT9e3ZDUEr3xpAy82tQEwv6KEuu4otV09vGfWFE6tmsySye78vJmlRdy6cVu/z7xVFESYUlxIaTjMtJK+nb7Tiwu5bOV62mNxCsMhphYVcuiEMs6fN4PicJgzZ03lxaZWrnxpA9s6e7w/YUpRIUdMrOgdYf3Lljr+tKWuN1wFHqttoiwS5lMLZwHwhsoKHt7R2OunsrCA2u4eBBhfEKGmo5stnV2EcLuU67p6qOvq4cBxpUwodOsQ6/2GnldeeYUNGzZw4IEHArBmzRqam5tpbW2lqamJiRNdh7mrq4tbbrmF5uZmKisrOfXUUznhhBMGLCdj9DDqDMFoNMpZZ53Feeedx5lnnplvcYxhItQ5+qYOVGOodDMnfCOlocPyLY5h7DOEQ8IpVZM5pWrk1wYXZTmvMNu9V5vbe41AcOv0pvmjWxZWlFLd0cXDLzcwubiQU2ZM4r0zp3J3dW2/MJZNncB/7T+d5+pbEYEDykr45LNr6PRTp9GEsralg+caWni5qZ3PHDiL02dO4ehJ47nmmIP4zfoanmtooTAU4i3TJvDheVW9Yf+tJv155A9tb+DC+ftRGA5x/JQJPLCtoTcdM0uL6YgnGFfgvou8rbObsnCYSUUFvNbaQXfcnXq4srGNqcWFHFBRyoHjygBnCAaZOHEizc1ulLe1tZWJEyfS1dXFmjVr6OzspLi4mJqaGl5++WVqa2s5++yzM+a1MboYVYagqvLRj36Ugw8+mC9+8Yv5FsfYh1FNEGU7E+UsMwINYx9iXkUps0uL2dzRtcu9ZdMyL/vY2NaZ1r0nkeCna6qZEjjP7/6tO/naYftzQEUpD26vpyOW4KjKCk6bOYWySJjjprh4/ve513qNwFhCe6duO+MJNrV38qt1W+mMxTl37nRmlRXzjUXzSKib9k0dPc00ytmTUDribrQxEgrxzUXzeGRHI0/Xt1AUCvGtxfMpCof4d20TbdE44wrC1HX3EE1o73rCmCqtsRjd8TgHj3eGYHLEL8nkyZNpamqiqamp9/iY1atX09HRwdq1awEYP3488+fP56677uK0006juLg4rcyxWIxHHnmEFStWUFJSwoknnshhh5kezhejyhB8/PHHueWWWzj88MM54ogjALjqqqt45zvfmWfJjH2NmNRSKkcxJfzJfItiGMYw87+HzOGbL73OzsC5hSfPqORt0zPvvq0qLUrrXtPRTWGo/77KmCrXrdvKdccexPFTJ2QM87W2DhLq9hN3BzZ9xAPrF/+0pY73zprau6M5lGH6/JDxZTxT37KL+8zSot5pXYBIKMTbZ0zi7TMm9fM3tbiQ+2t2okB9d4zySIiuhDv8ujgUYlZpMSWa4La7/8jal14kEonQ09NDYaEzgEOhEAsWLKCzs5P3vOc9bNmyhZUrVxKJ9JkRzc3NbNq0ifnz57Np0ybGjx9PPB5nv/3268u7WIyvf/3rvPTSS71uDzzwAOeff76NIuaJUWUIHn/88YyxrzAZeSCu7YgUsF/4SiIyaeAHDMPYq5hbXsKvlhzMsw2tNPVEOXR8ObPK0o9OJVk0oZz55SWsTxkZ7PRTqxvbOkkAEwoiTCyMsK2zm22dPRkNyMd2NLK6qZ22WIx4om+zRtLM647F2dTWyeTiQta2dvBsQwvrWzuZXlLIO6smM7e8pF94582dzktNbXQFDMqQwAWB6eNsTC0u5JhJ43i6voWYKiJCSVggDAdVlFEeUlbf8HN+01zbu2ElGo0SjUYpK3OjhNOmTeOzn/0sixcv5tOf/jQlJSX9zhsEt3lk2rRp/PjHP2bLli0AzJ49m8985jMcdNBBLF++vJ8RmOS2227jpJNOYsKEzIa1sWcYVYagse/S/s7MC7RHmri0Mi30eQpkRr5FMQxjDxEJhVjqN3dko767h3/UNFDT2c2RlRVMKipgRUMrMVUOn1BOU0+U11o7ev3v7O6hsrCAA8pLenfbprKquY0fvLqJ8oIIxT0hWuLx3mnY5P+tXT3s6OphfWsnpzz8PAUhYUJhhGnFRTywrYGvH74/b6js2yw5v6KUHx65kHuqa9nQ3sn04iJOnzmldyo3F7548ByuWVPNpvZOOuNxCiTEzNIixhVGqHv2SbqrN1Iyse/onLKyMkKhEJdddhnjx4/ngAMO6J2ybmlpYerUqTQ1NfWLQ1Wpq6ujvLwvnM2bN/ONb3yD66+/nhUrVqSVLRaLsXLlSt7ylrfknB5jeDBD0BgRmr44Or7Zq6qIKONCb8+3KIZh5Jn1rR181e/oTTKxMMKPjlrItOJCtnf1cM/mHfTEE0RC0jtt29ATZXrJBOq6uvncs2tY0dBKcTjEGbOm8NVD9+e+LW4KdnpJIVs7uwhLHFEIbplLKERxZ/zt6OphQmGE9nicxp4Yh4wv49fra7imsv+pGbPKivnsQbMHnc7ueIJXm9spCof40iFzOGf2VL70/Dq64vE+w27dGmaVFe+yNjGRSNDS0rLLwdGLFi2iqamJuXPnsnXrVqJRNw0fDodpaWnh5ZdfprKysvfcwY6ODh5++GFKSvqPdAbJds/Yc5ghaIwpErRSyHwKZPR/5sowjD3LDetqdjl7r7Enxh2bdnDyjEo+9+xrNPTEiCl0RuMUhd1B0aXhMFOKIpz52Evs7Ok72Pnnr1XzYmNr70HTIQTBGZDxlGVPSt80cVyVaEIpDAsd8Tj13VFCIjR0Rwf1ebl0PLK9gevWbe1N54ySIj69YD/eP2caT+xsIp6AmWVFHLFgDi9sXZc2jODoXpIlS5Zwxx130N7eTlVVFWVlZWzatInCwkIaG90RNh0dHbS0tHDQQQcBsHPnTt72trfxz3/+c5fwJk6c2PtBCWNkMUPQGBH2O+kJALY++Ka8yqFEKZSZeZXBMIz80xWP83JzW9p7T+5s5vnGVnoSCRAojYRIaIhYQplTWsy0kiKea2zrZwQmebyumQUVzhDc0N5JWyxGTLXfFz8EZwhq4HdwHK41FmeGCCU5fhIvExvbOvnR6s394n65qY3TH32RwyeUISKEBJZNn8hhp7+LlY8+vMs6/crKyl0MtPvvv59f/vKXVFZWEo1GaWhoIBqNMmuWO88waQiCm0JuaGigtbWVu+66i+XLlzNjxgxqamp6Rx8rKyu59NJL+208MUYOy3VjzJDQTmLspFTs25iGMdZpjcbY4Q9wVpSueILOeILCUIjKwggzy4qpLCpgc3sXcZSQQGFY6EokEKA9mv5s1ARKUShMRISd3T0UhUN0xNwGj6TRB+77ror7LrEoFATOOCwQ4bgpEyjxmzaGyoMpn5yLJhJsaOskgdIUjTGxsICEwm/W1/DTow/kU5/6FL/+9a/p6nJH70ydOnUXA62jo4Mbb7wRVaWoqIjZs91UdXV1NR0dHUyfPp3x48f3njmoqqxdu5by8nIKCwtpaWmhpaWF6dOn84EPfIDa2lpKSkpob2/3S3f2/KHjRn/MEDTGBHFtJ0EzU0KfYnzo5HyLYxhGHtnY1smlL6yjLRZjR1cPbbE4AhSGQnRKHFBE3DTq/IoS1rd20rvdQ+HjC2Zy+4ZtrG3r2CVsQTh4fCkHjy/ltdYOWqMxuiMJogklrn1Hx4SABO7bwpOLC4j7UUNBeMu0iXxy4e7PXLSknD3Y2BMj4dMRS/Qf+Xt0RyMXnHIKU6ZM4aGHHmLKlCmcd955vcfHJFm1alWvoRiksLCQpqYmpk+fzoIFC9i+fTsNDQ10dXVRVlbGwoUL+xl5NTU13HDDDbS2tva67b///lxxxRW2c3iEMUPQ2OeJ6k5EwswM/YyKcH6npg3DyC8vNLTyhefWUN3RTVkkREIhoc5Ii2mcolCInd1RtnX2sLWjiwmFBSwcV0prNE44JHxr0XxOrprEhIIIj+xo7DMQPdOLC3nnfpNZ39rJPH8ETH13lPVtHagq0bgSCgkKzCgp5OBxZXQnlO54goKQcOH8/Xjv7OFZw7xoQjmPBD45lwgcYTOuoP/rvysa45vf/CbPPvtsr9tjjz3GFVdc0TvlC5k3dEyaNKn3KJlQKERVVRVVVVU0NjYyfvx4QilnMW7ZsoWtW7f2jigCbNiwgeuuu44vf/nLQ0uwMSTMEDT2aRLajUiIeZE7KZTcztsyDGPf5C9b6rhu7RZWtbQD0Bx1awUFCIsbjVPwo3NKT0LZ3tnD5vZuPJeRFgAAIABJREFUKgrCTCkuYEN7J/GEctzUCXxr8Xy+u2ojzdEYIYS5ZcX8/JiDqCiIsHhiOfuVFLG1s5tJRQVEE8XUdPYQEuWIieWcWjWZTy6YSWE4xOb2LrrjCeaVlxDO8hm8ILFEgkgo+xrCE6ZO5O/b6lnT4kYuJxQWUN3RzbTiQopS1h+2r3ymnxEIbnPHT37yE37wgx/0uh1yyCHMmDGDbdu29fMbiUS47LLLePTRR9m4cSMA8+bNY+nSpdx+++27yFZfX8/MmbuOej755JP09PTQ3NzMfffdx+uvv8706dM57bTTmDNnTtb0GkPDDEFjRGg9e+SNMNUEMWqZHPqkGYGGMcbpjMW5ZcM2tylDoT0WJ+p364IzBJG+qduwCKXhEC2xOJEQTCoqYP+yEu7bupPySJjz9p/BRw7Yjw/tP4NnGlooDYc5fGJ57xEzIsI3Fs3j6lc3saalg+klRRw8vowzZ03lbdMrqQiMyM0e4LDrIPdtqeOeLXXUdvUws7SIc+dMY9m09F9MKQy7T8z9o6aep+tbKPbfI362of8XSk6eUclrd/86bRhr1qxhx44dTJs2rTddl156KVdeeSW1te5by+FwmHPOOYezzz6bs88+m61btxIKhZgxYwbRaJQHH3yw12+SSCTCpEm7Hugfi8XYtGkT3/jGN/pNGz/00EN8/etf7/3qmDF8mCFojAgtn5g74nHGpJZxchKTQx8e8bgNwxhdrG3toCueQERIANHAWr04EFcoCAzGFYbcJ9iSX9koCEnvGre/bt3JB+ZOR0SIhEO8cUr6NW2l4TCn7zeFtmlx5peXsGBcacZPyOXCn6truWF9Te/1lo5urn51MxEJZfzUXXE4zBmzpnLGrL7p5rUtHTxa20hclaWTx7N4YgWfiqff/ALOOAsyd+5crr/+elauXElbWxuHHXYYlZV9xmjwk3IFBQVcddVVXHvttaxYsQJVZfHixSxatIgXX3xxl7gWLVrE3Xff3c8IBPeVk1//+tf87Gc/yyinMTTMEDRGBOlwSkZLd28XXC6oKjFqESlgRvhyQlI48EOGYezTJNfEdcfdrt+ICDH16/USbnNICEFRCsMhikOCap/RVhIOk1ClNRqnuSdGWzRORWHmV+gfN9dyy4ZtvZ+Wqyws4KuHzWXhuNy/BBIkocofq+vS3rtr846s3zxOZcG4UhaMK+3ntmTJEqqrq3fxO2vWrH6GXWtrKzU1NUyfPj3nc/+mTZvG5ZdfTkeHWydZVlbGtm3buPDCC6mpqaGoqIjKykomTJjAxz72Mb7yla/0PtvS0kJdXR3xeJwdO3b0G500hofdO6TIMHKk6vSnqDr9qT0ej2qUKNsoCS1iXuQuwrLrQaiGYeydbG7v4r4tdTy2o5GewDd3c2FueQkLKkr9d3ahvCBMeSRMWTjMnLJiKgsjTCkuYEZxISXhEDNLSxjnDb2iUIgCEVY2trGmtZ3qji4+8cxqnt7ZnDaul5vauPH1ml4jENzXSL798kZiicHJnaQ9FqehJ5r23paOXXfxDpazzz6befPm9XMrKSnh05/+NOC+MPKrX/2K888/n4svvpgLLriAn//857uMFmajtLSUsrIyXnrpJc477zxee+01WlpaaG5upq2tjUsuuYS5c+dSUVEBwLZt21i9ejX19fU0NTWxefNmrrrqql2+b2zsHjYiaOwzJLSbmOxkaujTTApdgMieH300DGPPo6pc+sI6/ryl7v+zd97xcVVn/n7OLdNHvcty78YF2xBCMxBKQkmWhABZIBDYJJAEdtn9JSQsAQJLyBLILgkbsqEnhEAKCQQISzfdGGMbY9xly5KsPtL0csv5/THSWLIKLrKKfZ/PR8hz7r1nzh0hzXfe877fF1NK8nSN6UEfty6Y1i+yNRTfnzeZ/1i3nU2ROKaUuBSFKp+bKq+bpGkx0e/l2NI8diUyrA/HaU9n+wGXunU+6oqDkKhCodrnJmKY/OfHO7jvU3P7df94pTk04POHMgZrOmMsLc4b8PhQ+DWVIpc+oBis8e19juGg8/v93Hnnnbz55pts3LiR0tJSTjnllNyW7x//+Eeefvrp3PmmafL8888TCAS49NJL9/p53nzzTa6++mp27dq9xd3jR/jb3/6WO+64g1mzZvHmm2/S0NCApmk5C5vi4mJqa2t5+eWXOfPMMw/4nh2yOELQYdwjpcSiE5so5cr1FKsXjvaSHBwOaVZ2hPlbQzutqQwz83x8qaaMSYGD1yf2to+282DtbuEQNkza0wY/Xr+dB4+Zu9cmxGUeFz8/ahYLCwM8UtuEX1PRuqt0K71ufnLkdMo8fVNJ7t1cz3+uryNmWt2efwrB7rzBjC1Z3trJuTV97V6SQ0QrE+bguXhDoQjBlyaWcd/Wxn7Hzps4PFuluq5z8sknc/LJJ/c79txzzw14zfPPP89Xv/rVvfoZWJbFfffdR2trK4lEIhdNdLlcNDU14XK5eOihh3jttddIpVJkMpncV1VVVc5q5oMPPnCE4DDiCEGHcU1WBIZAaFQrd5GnnDraS3JwOKR5samDn2/anUvWmEzzTnuYO46cwZSDIAbjpsVjO5r7jScti3VdMTZFEszO37e8uyumV7OoMMjfd7UTypjMzffzDxNKKdlDBK7sCPPcrg6K3TpJ28o9b20sxczuSGTU6L81urgoyJttXf3GNSFYWBjcp7X25vMTStGE4Mn6VlpSGWp8Hi6cVL5P+YH7S++2cQCxWIx4PE5nZyeJRAK//5N/BnV1dbS1tREOhzGM3ZHNVCpFfX09lZWV/OlPf0JRFCZOnEgsFsOyLBRFoaSkJNfhZKDex/vLxo0befnll0kmkyxZsoQTTjjhsGt1d3jdrcMhhyla0amgQrmegHrMaC/HweGQxrIlj27vL8pSls0f6lq4bt7kYX/OjeF4zuJlT8IZM9sPeC8wbJt32sLsTKSY6PNwbGk+Sz5hi/bZxnagu9Ak2et5DZO0ZeNWFRYNIOxOKi/klebOfr2ML55SQf4QBSZ7w5nVJZxZXYIt5QFVIO8rc+fOZf369di2TW1tLaFQdvvb5/NxzTXXcMstt/QpKhkIv99PW1sbqqr2EYIAmUwGXddzkcVgMIjX683lA3Z1dVFSUgLAqacOzwf+v/71rzzwwG7bnOXLl/Pyyy9z8803H1Zi0CkWcRgRIl+tIfLVmk8+cR+wZAyVAqZojzki0MFhBGhNZwYtWNjYbdI83AR0lYJBxFNAV5nTHQ1sSqZ5rz1MU7J/IUFHOsN3Vm7ipxvqeHxHMzd+uI3zXv+Q7dFkv3N705Y2iBgmQkChSydt2cQMK9unOJXm08V5LBhACOqKws0LpvDZymJK3TqLCgPcvmg6XxqmLVxgREUgwMUXX4ymabS0tOREoBCCmpoaWltb+a//+q9PnKO8vJy8vDzcbjequjuHu6fH8K5du1izZg11dXVYlsWMGTNwu91A1qvQ5XJxxRVXcMQRRxzw/YTDYR555JF+42vXrmX58uUHPP944vCRvA6jSnTYRWAYW6SoUP7dqQx2cBgh8nQtZ7uyJ0UufYArDpxZeX6WFOXRmTGJ9qpQFQi+M7MGKeEn63fwdltXd69eOK60gGtnT8TV3T3jga272JVMk7IstkSTJLs9885Zvobr503hH6dUANCZNni6sY11XTFaUxne74jQns4gZbftjCIQZAWQR1XwagMXpLWmMty4dhuN3aK0LW3gVduYnef7xG4gY5FQKERNTQ0//elPueyyy/D5fHg8HioqKnLbtJs2baK5uZmKiooh5zrvvPOora1FCIFhGJimiZQSXdfxeDxIKWlpaSEajTJ37lwWLFhANBrlyiuvZPHixei6nhOOB8LatWsHrXh+//33+cxnPnNA848nHCHoMCIo7RkA7JID9/ST0sIWcSaq/4tfWXrA8zk4OOwdfk3lpPJCXhqgKvbs6pKD9rw/nD8FgA+7YkQME6+q8PXp1VwxvZr7tzbyVq98PAm82dZFqUfn8mnVSCl5p9vmZWsvEQjQnjb4/Y5mpga9zAr6+NcPNtOeNogZJh+H4yQsi4wtc/2IVVtQ6NKo8Xso87h5pSVbKDJ5j9zIn2/cmROBPbzTHuYv9W18edL48cDbsmUL9957L1u2bEEIwcKFC5k+fTqFhYUDnr/ndu9AfOlLX+KVV16hvb2dRCJBQ0MD7e3tWJZFbW0thYWFxGIxEokEnZ2dVFRUcPHFF/Pee+/lWtWVlZXxrW99iyVLluz3vXk8g1daD3XsUGT8fTRxGJdUXvg+lRe+/8knfgK2zGDQRIE4D5/Y/z8CDg4O+8eVMyZwcnkhandExq+pXDq1kpMrBm5zNhwEdY0lRUGqfW5m5/m4emYNl0+rQko5oCgFeLGp73jctEgM0j3jpaYOnmpooz2dFTJtaYOkbZPp3X6ObPu5fJdGpdedu3ZdV988wFDaYO0eYz282tI54PhYJBwO88Mf/pAtW7YA2e3bNWvWsH37duQAEeGqqqoBewfvSVlZGbfccgsLFiygs7OTeDyOrusEAgGklIRCIaqrq5k5cyYnnngi9913H++++y5bt27NzdHa2sptt91Gc3P/fNW9ZfHixRQUDFxkc8opp+z3vOMRRwg6jCssOihVv0mF+v0D3hpwcHDYd9yqwr/OmcQjn57H3Utm8vCn5w6bfUlvTNtmeUsnP9+4ky8u/5A/7mwlZdmkbckf61u5ff0O7O6ewQMRNy3s7i3EJUVBYoZJxrRJmBYJ08a0JUUuDQRETYvXWkJ0ZUwsKUlbdh/Dak0INCX7tefz7Zm/OFTxSno/zaRHg5dffpl4vH/eZ8+2cG/cbjff/va39/pv8pw5c/jhD3/ItGnTmDlzJn6/v8+17e3tFBQUcMIJJ/Diiy+yfv36AVvOvfjii/txZ1k0TeP6668nPz+/z9gll1zC/Pnz93ve8YizNewwLpDSwqAFl6imSLnYEYEODqNMvks74ArYwUhZFjes3camSIK2VIbt8SQKgulBX054vdcRYVsswaw8H6+1dBI1LHRFUOp2EdBV5hcEEMBva5tY0RFhUyRBzLS6W8mBaStoiiBmWqxoD9OczNBpGGhC4FUUese8XIqC0R1N7B0MK9A1PlWcT28qvG5qfB7qB+j2cfR+GEmPFi0tLQOOa5rG+eefT2FhIRs3bqSkpIRTTz2V0tLST5wzFArx3HPPsX37djRNwzRNSktLaWpqIpPJ5M4zDAO/38+rr77K66+/Tl1dXe653W43lmURDAbZvn37gM+TTCYJh8N9LGcGYs6cOTz00EOsWrWKZDLJwoUL+/RMPlxwhKDDmEZKG1O0AApB5STK1X9zikMcHA5x/tbQzqZIAoBYdwTORrIjnmShHsh9EFwditIQT7Erkcbqlm7t6Qwzg34unVrJ3xrb+cPOFkJpA4+qYJGN9mlK1hS6JZUhbtjMzPNR6nHRaRiYUhIxTVQhsKREEwJdFfi7OxUF9Oz3aq+b782dlCtI6c23Zk7g5g9r+0QAq7xuLhhH+YHTp08f9NicOXOYP38+p5122l7P19jYyPe+9z0ikQiQbVm3efNmpkyZwqxZs9ixY0cu6jdt2jQAnnrqKSzLwjAMLMsilUrhcrnw+XykUileffVVvvGNb+QKVAzD4P777+ell14ik8lQUFDAV77ylSHNp3Vd55hjDm/XCUcIOoxZpLQwRDN54gyqtBtRxMHrXODg4DB2WNGxu4evu1eVbca2iZt2ToxtjCSIWzZzC/y0pjIkLRuvqlLk0pjs93LXhp1A1vcPkc1ndCsKppTk6xpCCPL0bHeRApfGRJ+HxkQaS0CpWydtZ+dzKQqlbp1it87l06qYVxBgWsA76M7EEQUBfnn0bF5o6qAtlWFG0MdnKooGrTIeiyxbtownn3yShoaGPuMLFizYr63TRx99NCcCARRFoaqqivr6eubOncucOXMwDINgMEh+fj7PPfccVncUNpPJkE6nURQlV5Di8/nw+Xz85S9/4aqrrgLg/vvv79MBpauri3vvvZe8vDyOP/74fV7z4YIjBB1GhPA3Ju/T+VLK7qKQz1Oh/juKOPBqYwcHh/GBLnaLvxK3TlNyd8SvuyMcFR5XVuABXlVlkn/3B0UL2BJN0J7O9LkGyOb6IZgW9NGRMdB7ibkKr5tSj4uEaXFyeRHHlubzVEMbLd1i7sJJ5QP6Bg5EmcfFxVMq9+f2xwQul4uf/OQn/P73v2fFihWoqsqyZcs4//zz92u+Dz74oN9YSUkJbrebY445hlgsxuzZs1FVlSeeeAK7VzTV5XKRTqdz3oOVlZVUVVWhKAobN24EIJFI8NJLLw343E8//bQjBIfAEYIOI0Ls/Kq9PteUnUiRxisWUqFe54hAB4fDjBPLCvgoHCNhWoQNkxKPTlfGRBECn6ZyRH6Aa2bX8L9bGgadI6CpzM7z82FXjBK3i5ZUVhRKCaoQpGybSo+rnyeiKgRBXePk8kJOLC/ktMrig3qvY5n8/HyuvPJKrrzyygOey+fzkUgk+o0HAgEuueSSXB/hW2+9FYCCgoJcWztVVVEUBY/HQ0lJCTU1u31pi4uzP58eo2td13Mm1D20trYe8PoPZZyqYYcRQatPotUP7eIPYMoQivAxSX2AyepDKMI3AqtzcHAYS5xeWYQmBB+FY9QnUrSkMggEtyyYykPHzOX2I6dT6XVzasXAIm1G0MekgJd/nFyBJgR+TWWSz0vasokYJinbYnMknhN8e3JEfoBjS/MHmNlhf9mzLVwmk2HTpk1s376db3/721x11VWsWbOGvLxsQc2ECRPQ9axJuaIo6LqOpml9RCDAWWedxVNPPcV1113Hli1bWLt2LZs2bepjFj1UvqODExF0GCHKv7YagMaXjh3wuC0zWKIDiUmN+t/4lAUjuTwHB4cxxIqOCKaUzMsPEDVMdEWh0KXxQlOIf5y8u3PF8WUFbI+V82R9ay6yN9Hn4XtzJwEwryDAHUfO4M/1rbzb3kUoY+DXVIK6Sr6uETZMWlIG182dzGstIQwpObo4n9MqisZlB5CxzAUXXEBDQwNvvvkmUko2b96Mpmm5SGBDQwO33norV199NS+//DJer5cjjjiCtrY2kskkc+fO5fjjj2ft2rVIKcnPz+fiiy/GNE3uv/9+IOtlWFdXRzgcpra2lpkzZ+Jyubjgggty62hoaODJJ59k69atlJWVcc4557Bw4cJReU3GCo4QdBhVpJRYdGERpkB8nmLtMtw4n94cHA4F2rutX8o9bib6B+7WYEvJc43tvNLSScqyWVIUzFmv+DUVf68Ci7BhsrYzxpJeNiyXTK3k7OoSNkTiFLg05uT19aSbkefj+/Mmc/OH27D6+yCzMRLnGn8NN8yfOkx37TAQmqZx3XXXcdFFF/HKK6/w8MMP4/f7+5yTyWSora3lqquu4uGHHyaRSFBVVcXEiRO5/vrrqa6uJhQKEYlEqK6uRtd1brrpptz15eXluX7IiUSCefPmcfnllzNjxgwA6urq+N73vpfbot6+fTvvvfce1157LSeffPLIvRhjDEcIOowqJm24RDXlyr+Rr3wORRxerX0cHA5FpJTcu6WB/2vqoLs5B4sKg1w3dxIBve/bzs831fNyr+4g9YkULckMJR49172kN9YAXS0K3TrHlg7cJaKHqDGw8TRAxBi456zD8DNhwgRqamr6iUCAtrY2HnjgAaZMmcK8efNYvHgxs2bNygk5gKKioj5ef6FQ3w4yxcXFubzByy+/nJkzZ+aOPf744/3yFKWU/Pa3v2XZsmUoh2kU2BGCDqOClDYm7agiQLX2Ezxi5idf5ODgMC54qqGNv+/q6DO2pjPKvVsa+O7cybmxhkSqjwjsQRXQnjIo9+4uFJNSEjFM7tpQR0MiTaXXxZcnlrO0OI+4aTEt6OsTPdyThYUBNkf7Fyv4NZUZQScXeSQZKGevsbGRxsZGampq6Ojo4JlnnuGZZ57hhhtuYPr06YNa9cyZM4cPP/yQrq4uFEWhuLgYr9ebE5p33nlnzvh6zZo1ubzD3rS1tdHW1kZ5+fjxeRxOHCHoMOJYMoolIgTEsVSpN6OJg9es3sHBYeR5oWng/r9vtYX5lmnlBFuPaXQPSdOiKZUhZphoisCtCgpc2TfubbEkSctmU7eY2xJN8GpLZ2472KOqnDexjAt75RD25gsTynizLUxTMp0bE8BlUysHNIV2OHjU1NSwbNkyli9fDoBlWTQ3N+N2u/F6vXz44Ye5Yo8f/OAHvPPOO/zoRz/C5errICGlpLW1lW3btuX8BZuampg0aRLf+MY3uOGGG0gms0WKLS0tbN68meLi4pwBdQ+aphEIHL6NChwh6HBQkdLCpJ2OfykBKTBoQRVBapSfEVRPGu3lOTg4HASie2y1GrZNQyJNZ8bgkrc+4jMVRXx1aiXFrt3RmYRpsSESz239VrhcCARTA14qvS460wZbYt3CUWa3eg1pk7Js8nSNCT4Pv9vRTLXPzQll/SuB810ady2ewXON7XwUzuYTnlFZzBEFh68AGE2uvfZapk6dyssvv0xLSwvFxcVUVVX1q/iNx+N89NFH/PWvf+3nYfjee++xatUq5s6dS3NzM9FoFF3X8Xq9tLS05ERgD2VlZdTX11NWVtZnG3jZsmUDblUfLjhC0OGgIKWBSQiEJE98lrwvnI4uyqigDJUCp1ewg8MhzMLCIMtbsx5wtpRsjCRIWhYeRcWwJc83dbAxEue/Fs9kgs9NQyKdNY3uFoECQZnHhUdVCaUNjiwMkOlJNpQQN61c+7a0bbMtmkQVgkqvm+d3dQwoBAGCusYFkyu4YMCjDiOJqqp88Ytf5Itf/CJdXV1cdtllxGKxfuKtxxPwrbfe6icE3333XQCEEASDQYqKiggGs4bfb7/9dr/3mdLSUjKZDLLn/zMhOO6444bFJ3E84whBh30i+wskyXb+tLq/m7kvMJFYCOGiQJxDvvKFrBXMpk3ZCWYN/AfawWE8IYR4EDgbaJVSHjHAcQHcDZwJJIDLpJT9WysconxlcjmrO6NEDJPOjEnSshAIJvrd2f1YYEc8xXuhCDfPn8p/bdzJ2s5sn1m3ojDJ78HT3UWiyzDZlUjTlEoTzmQjRb1NoAVg2pIN4TihtDFggYnD6CClZNeuXXi93j4FHntSUFDAiSee2Kc9HGSFWs827kDBA03TqKuro66uDsMwEEIQCARYuHAh5eXldHV19btm4sSJ/PKXvyQajVJSUpIrLDmccYSgw4DYMoFFFCGU7sZOErCQ2AihoeBB4EXBj0o+mihCpRhdlKFShF85CreYvHvCb34z+/2110b4ThwcDgoPA/cAvxnk+OeAGd1fnwLu7f5+WFDt83D3kpn8rbGdJ+tbiRguyj0ufHsUc+yIpTi2tICfHDmDmGmxMRzHq6o5sQiQsWzeaOvEtCUCgSHtXCUygCVBCImQEMoY1MYSPLC1kSumV4/Q3ToMxMqVK/n1r39Nc3MzQggWLVrEP//zPw8qvL7zne/gcrmora0lHo/jdruprq7OGUwfd9xx/a5RVZUtW7b0aUfX1dXFmjVr+MMf/sBdd93V75oTTjiBqqq973R1OOAIQYcctkxiE0cKEyE0KpUb8SpzEXi6hZ87+12Mn8bpDg4HAynl60KIyUOc8gXgNzIbQn9XCFEghKiUUjaNyALHACUeF1+bVkW1z80vNtUPeE6Vb3fy/5cnlnPnhrp+53hUBZtst5At0QQdaQO7++OpSjZS1KMbNaFQ4XHzdGMbX5hQSonHaU85GuzcuZMf//jHuVw/KSWrV6/mlltu4e677x7wGpfLxXe+8x1OPPFEbr75ZjKZTC4KuGDBAr7whS/0u+bVV1/F5XKRSqVyY0IITNMkEAhw1VVX8dhjjxEOh9E0jRNOOIFzzz2XO++8k1WrVuH1evnMZz7D+eefP2A18eGCIwQdkNLCoBlNlBAUp+IXRxNQPu1U8zo47D/VQG/109A91k8ICiG+AXwDyHVZOJQ4sayAx3Y005E2+oyXeVwcW7Lb+29ZeSHt6Qx/3NlK3LRQBJxQWsi2aIKGZJp8l8aSoiAtKYMtkQSqALeq0JkxMaVEEVDhdaEpAlvCxkiC4x0hOCo8//zzfQo+eqitrWXDhg3MmTNn0GsXLFjAb3/7W5YvX04oFGLOnDksXrx4wK3hXbt24fF4cLlcua1hXdcRQvDRRx9x2WWXcfrpp9PU1ERBQQG2bXP11VfnehjHYjEef/xxdu7cyQ9+8IPhewHGGY4QPAzp8fBDgJAKUpgUiC9Qqf4QIRwbBQeHkURK+Wvg1wBLly4doPfF+Majqvx44XR+vbWBD0LZPMClxXl8c3p1P9uWL00s5+zqUhoTKYrcOgUunds+2k5Dt+WLEIIKrwsbya5EGlNKbCSqAJ+m0JbOkLJsZuf5KHA5b2+jRVtb25DHhhKCAH6/nzPPPHPIc1avXk00GiUSiaCqKm63G03L/sw1TeOII47I/bunP/ETTzyRE4G9efvtt6mrq2PSpElDPuehivObMs7J7jzZ7C7g2P1Y5sZ7/m0ihQFCISBOJF85A51KdFGJJpyEWQeHYaQRqOn1eEL32GFJlc/NzQumkbKy3T16CkH2ZE0oyu92NLMpEqfU4+Kc6hI+X13CivYwvRVyldfNcSX5LG/twrBtNEWgdEeMoqaJS1GYlz+27EB6V6oe6syaNStX0dsbIUSfLiH7y9tvv81PfvITCgqyDhSGYWAYBoFAAF3XWbx4MUuWLOl3XW1t7aBz1tbWUlNTg2ma/fwKD3UcITiCyD6tkfbm37sfS+xs/h5pEAJkVtwJBAgdBR3QELhQ8CJw5b4U3AjhQqMIr1iMT1nUt5BjJLjhhpF9PgeH0eVp4DtCiMfJFomED6f8wMEYTAACrO+KcfO6WiwpkVLSlEhz/9ZGLpxcwffnTeZdzb0IAAAgAElEQVQ3tU00JtN4VIXTKorI0zW2x1P4NYWd8TSGzBYMBDSVY0vzx4zgCmdMHtzWyJttXZhSclRRHldMr6bS696neaSUrOmM0phIM8nvZX7h2PU/POOMM/j73/9Oa2trn/FTTz2VysrKA57/0UcfRUpJMBhk4cKFbN68mXQ6jRCCs88+m9tuu23An39vI2kpJdFoFNu28fv9vPbaa/zyl78klUoxd+5cvva1rzF79uwDXut4YEwKwYxsZKd5Za9q1d7fyT22ZASB3ue4pE/BGYj+Yz1nCkR3BG2gxwPRey2i72PZ+yzZ62jf+XanNSvZOYToHhXdcwoESq9zst8FGn5xNHnidALKcQj07ntXx8wfvCE59dTRXoGDw7AhhPg9cBJQIoRoAG6C7B8jKeWvgOfIWsdsJWsf87XRWen44c/1rZi2TVMqQ0sygyFtPIpCdGsj/3fKkRxbWkDEMPGqCrqi5FrTFbtdFLl04paNJrJic3LAO8p3k0VKyY0fbqM2ttsbb0VHhK2xJP9z1OwhW+L1JpwxuenDbWzrNc+cPD83LZi613OMJMFgkDvuuIM//vGPfPDBB3i9Xk499VTOPvvsA547lUpRX787/bbHAiaZTKKqKvfff/+g137uc5/jueeeo6Ojg61bt5JOZ1MOLMuis7OTsrIyAD7++GN++MMfcvfddx8WFcZjUghqFJOvnIlNmj1F0m6xJHCLmWiU7hZOQhny/P5jfQVX38cDXzeQSNt97Sc833gQbAeLNWuy3xctGt11ODgMA1LKr3zCcQl8e4SWc0hQF0+xK5mhMbm7AjRl22yMxHm2sZ0vTSwnT9/9lnVcaT4PbtOIGGbWP65bELkVhVPKB/esG0lWhaJ9RGAPHWmDV5tDnD2hdK/muX9bY04E2lLSmsrwcTjOqlCEr0+v5h9qSgeNtkopMWw54m30iouLD4pRs9vtJi8vj0gkkhsTQuDz+XJCbjAqKiq48cYbufDCC3MRxEAgQCQSoa6uDp/Pl2s1l0qlePbZZ/n6178+7Pcw1hiTQlARHkrVq0Z7GQ7Dyb/8S/a74yPo4OCwBwnTwi1Enz7APSgIlrd08qWJ5X3GParKjxZM5a4NdTQksteVeVxcPbOGIvfYsAKpT6SGONb/XgfCtG3ebN1tjLwtlqQzk63A3hiJ87sdzbwfivCTRdPRerVNs6XkZxvq+Et9GynbZl5+gK9OqeDUyvGVD97U1MTKlStxuVwcd9xxBINBzjrrLH7/+99jmiahUIhIJIKu65x00klIKfsEXTZv3kwikWD27Nl4PB7S6TRTp06lpqYGwzBobGwknU7jcrlob2/v03O4oaFhNG55xBmTQtDBwcHB4fDgd9ub+GtDG43dvYh1ReBVldybebnHRese1jM9TA/6uPfoOWyPJTFtyfSgd0ztvNT4PEMcc7MlkuCFpg4ihskRBQFOqyxCIHAp2R0ky7Z5qTlEXTyFV1XQFJETgUDOWHtTJMHbbWFOLM92bspYNhe99RHLW0PZVgC2ZHMkwYtNHZxRWcy/zZk0pnMMe/jd737HE088kcuvv++++/h//+//ceGFF/Lee+/x2GOP5SKDfr+fZ599lng8zvXXX8/27du54447aG5uzh2/4oorcpXFHR0d1NfXY1kWqVSKVCqFy+Vi8uTJuec/XKqIx60QTFkW22ODf9pyGFtMNLPVgjvD8VFeyfAzwecmqI/bXyUHh1Hj+V3tPF7XAkCRSydP14iZFknLJk/XKfe4qPK6meQfXFABTBkjOYF7sqQoyNSAt9/2cLFbJ2wYnPfGWuKmnW2LJyVR0ySgaZR5XZS7dd5ujxAzTUxboojdAlnp1rq9LXI+DsdzQvDJna282NRB0raxpMSW2SQm05Ysb+0klDG44YgpHF2SP1IvxT6zfv16Hn/88T5jmUyGn/3sZ/zgBz9gy5Yt6LpOMBhE6Y6E9oz90z/9E6+99hrJZJJgMJgTdL/4xS+44YYbMAyD+vp6pJQoioKu6xiGQTweJ5FI4PP58Pl8nHXWWSN+36PBuH33erEpxHdXb6HQNTa2AByG5n8iCQC+/e7Ho7yS4aUrY/D9uZO5dNqhn1Ds4DDcPNvYnvu3EDDJ72FnIoVAsLAggKpks63P32NbeLwghOCWBdN4qHYXb7R2YkrJksI8MrbFle9tImPbuSzylJ0tMtSEQW08mW2dR+9yQ0nCsnEJQYFLw6Uq1Pg8pC2brozBO+1dBHWVI4uC/HxzPQmrWwR2X20Btm0TzZhI4NEdzWNaCL7++usDjqdSKR5++GFisRimaeZEIGSF4rp169i4cWOu20g0GmXjxo3Mnz+fZDLJww8/TElJSR8XD7/fj5QSTdPo6uri+OOP59JLL6W8fHz+f7evjFshaEtJUFMpGSO5IA5Do3d/hD3Ufl5SSj5dOnb/mDo4jEVWdoT5+64OXmwK4VIFlR43LlWhwutGFYLmVAaAmUEfF04uZ0lx3iiveN+JmxYvNHWwritGga5x28JpzMrz8z+bG/j1lhYyto2UEotsv2TIij6jjwNFfzJSognBzKCP1lSG+kSKhGmxPZ7Mvp6KQlMyjSH7Xy2BpG2TsW22x5JkLHvEi0j2loE6k/SQSCQGvSaTyaDuUTiTyWRYvXo1AK2trfj9fnRdzwnAgoICSkpKUFWVCy+8kIsuumj4bmQcMG6FoMP44jf/9J3RXsKwI6XElJKqffQDc3A4nPlbQxu/3rrbW7sllSGUNpmb78etKpR6XMwrCHD/p+aMqXy/fSFqmHxv9ZZcEQvAS80hrphWxUPbdrE9lsSwh7IqG5rWdIZkyCZl2UgBXk3FsqHTzGDLgQVkDxnbZlVHlONK8nIf0McixxxzDC+88EK/cU3T+OxnP0tzczMul4tMJpM7Zts2mqZRUVGR2/oFctFBn89HMBgkPz+fhoaGfjmByWSSzZs3c8kll6DrOsuWLeOCCy7A4xk6NWG84whBhxFh4xGHnm1MxpYENJWAkx/o4LBXpC2b3+1ozj2u8rmJhE0MadOcTDMp4EUAX51SOW5FIMDTDW19RCBkxdkNa7fRkkrn7m1/paAiBHm6io0kaVoIVSFimrnI4lCYEjozBqvaOvndR1uYk4ny0ksvkUwmWbJkCaeffjpu9+h/uF26dCknn3wyr776am5MCMHll1/OGWecwYoVK4hGo2zZsgWru2NNj1l1eXk5hmHQ1NSUtc8xDDweDz6fj9LSUhRFoaamhsbGRiZPnkx7ezuNjY0kEgk2bNhAeXk5VVVV/OlPf2Lz5s3cdttto/IajBTOO5jDiDD7o6yP4KEkCDvSBv84ueKTT3RwOMzZFk0QNSwE2S3THvyaypx8f24r+KjiPL4woZSFhcF+c9hS8lZbF+91RHApgpPKisZs5evqzmi/sYxlsyuZxrRldlt4P+dWAE0INEVki0yEIGHa7HWAUUqkadDU0sY3f/VTSndsYurkyfj9flatWsVrr73G7bffPupt1oQQXHvttZxyyim89957uN1uli1blovg3Xbbbbz44ou88847NDU1MWPGDM4991wefvhh3nzzTTRNo7y8PFcRPGXKFCorK1EUhWQyidfrZfbs2SxdupSnnnqKoqIi0uk0pmnS2NiIlJIJEybw4Ycfsn79eubNm5dbW2trK6+//jrpdJqlS5cya9asUXqVhgdHCDqMCF+9/x4Arv/vwV3fxxuqYMy+ETk4jAWak2luX7+jT9VsSzJDuXe3yPBpKlMDXo4sDHLj/KkDziOl5McfbWdFx24T4ReaQlw4qZyLphx4y7LhJrBntw8JW6MJYqaFS0D6ALaFJVDq1il06VkzbcCUdq4oZOiLJaQSSFsiMxkSk2fRsvIt4tEoixcvxuVysXnzZl555RU++9nP7vcahwshBIsWLWLRAI0IXC4XZ511Vp/K3mg0SiQSIRKJ0NHRgW3bTJ48mdNPP526ujoMw2Dz5s1Eo1mhXlJSwsqVK6murmbHjh195m9tbaWqqgpFUdi2bVtOCL766qvcfffduSjk448/zmc/+1m+/e3x6x8/NrNEHRzGAYoQTBujthUODmOB2z7a3s86pcswaEtlqIsn2RpN0JxMY0nJ56oGNzp+tz3cRwT28ERdC62pzABXjC6fqejb2aQtnaElmcawJfG92b8dAlUISjwuyjwugrqGpoi9jwZaVtZ80MhApAsKi0mnknR2dvL666+zbt062tra+OCDDw5ojQeDaDSa2+odjIcffpidO3cyceJEjjzySJYsWUJxcXEuL7C2tjYnAnVdp6qqitWrVxMKhfpth5ummStY6elRHI1Gueeee3IisIfnn3+eVatWDeftjihORNDBYT8wbRtFCKp9o59L4+AwFtkUibMj3t/rtcilUxtL0pMC2JkxMGzJlmgi6xk4wIerVaH+W62QjY6t6ojwueqS4Vz6AXNCWSG1sSR/qW8jblis7YySOoAoYA8K2Z2Izm6D7UqPm7RlU6DBrlTmk7ebpQ2JGITas6KwK4S0bCwkGAatra2EQiHC4TAej4ezzjpr1Lc9Y7EY99xzD++88w62bVNWVsbXvvY1jj/++H7nvvHGGwPOsWHDBm6//fZcEYjX66WkpARd1/H5fLS2tjJt2jSamppy4k/XdTRNo7q6mqVLlwLw/vvv9ylO6c1bb73FkiVLhumuRxYnIujgsB9ETYs5+b5B+3s6OBzurA5FaUikaE6mMezsxqWUkl3JNAUujQUFQao82Q9STak0P9uwk++8v4kHelUU9+AZwuJkqGMjjZQSq1vwXTq1igc+NQdD2pjDIAIBXIpAAhHDojWVIZQxcCkK5V4XBbqGukd9jQBUer3RG0Y2EmhksgdXvU1PyYpt27l8usbGRh588EG+/vWvs3z58mFZ+/5yxx138NZbb2F3/z/U2trKT3/6UzZt2tTv3D0jdT3Yto1t21RWVjJ16lQqKyvR9ayVWVVVFaZpous6s2bNyrWYq6ys5Oijj+Y//uM/+ngVDsZ4Lm5yIoIODvtBwrRYVlY42stwcBhzSCm5a8NOXm7uoDmZwUbSkEgzLejFrSikbZtStwut2y+wRyJ1GSY1wF8b2lhanNenYOTk8kKebmjrF/HyqSrHjAFT5K6MwfdXb2V5aydSwqdL87l5/lRCGYPWvYnU7QWi+79eVWFpcRBNUbCkZE0oSqdhoquCIkWnK2Ngdj+hJgSIbIs5BZA+P9LjhfYWWPU2YsOa3FZrzxoNw8CyLHbs2EFbWxtXX301K1aswOsd+TSYhoaGnP9fb2zb5tlnnwVg7dq1+P1+TjzxRObPn88LL7yApmnk5eXlxNmSJUuYMWMGwWAwtzXcQ15eHhdddBHpdJpt27Yxa9YsTjvtNE4//fQ+fYcBjjrqqH6WNT0cd9xxw3XbI44jBB1GhPu+893RXsKwogrhdLVxcBiAN9u6WN7aiaYoVHndNCRT2Ei2x5LMDPrQhUKpW6czY+SqZzUh+kSz3mjt6iMEpwV9fH16NQ/V7sr57wU0levmTsa7Z2HGCGPZks+9spra+O5cyOd2tfNRV4wfzJtMytqrMo5PxKcpaCLbcUXrjlCpQlDqcdGRzqAgsIXMHrOzRtHZl0oiASlASLBKK+DZP6Js/BB7ENNm27ZzYqelpYXf/OY3fPOb38wd7+jo4LHHHuP999/H5XJx0kkn8eUvf3nYK43b2toGPfbss8/2sZa56aabcLlcNDQ0kE6n8Xg8zJgxg+rqar7+9a/jcrm49NJLueeee/rMU1xczLXXXktx8eA5qj0EAgGuueYa/vu//7uP4fVZZ53F4sWL9+MOxwaOEHQYEbZPH9/l9b2xu3t3lntG117BwWEs8lZbOPfvKp8bn6bQmsrQmTFpTRu4FMEHnRFSlp2rnhVk++/2YA9QEHDOhFJOLCvkg1AEt6qwpCgP9xjYFv79jubdIlBmazGStsW6rhg3rt1GSzK9dxW93WgiNxVCgl9X+cb0KpaVF3Hv5oZ+W5A1PjdBTcWjKqwPx/GpKrai4FIVXEIQNkwywkJK0BSBcHuwL7kK34M/I77irUGjlbZtk06n0TSNDz/8MDcej8e57rrraGlpyY09/vjjbNu2jRtvvHEf7vSTmTJlCpqm9esy0tHRQTweZ+LEiQCEQiHq6+vRdZ358+fT2dmZs4i599578fl8AJxxxhlUVlby97//nVAoxNy5cznnnHMoKirq99yDsWzZMubNm8cbb7xBKpXiqKOOYvr06cN306OAIwQdRoSFq94FYO2SY0Z5JQdOW9rg+LIClo7DtlcODiNNgUsnalh0CZMil4bL7eLdjnB33qBACNAVhc6MQcqy8agKx5YWDDhXvkvj5Iq9f9MeCd5q6yJl2qS7iy4sCYoABcHORJq0Lfd6a1gAXlXFrSrYUqIKwSS/h6tmTmRKwMurLZ1sivRtryaE4KIplXxjejVt6QwfhCLct3UXnZkMqztjxK2sCFSzu8QEdRW9oAD3ly4h+cEK7Iw9YCWuZVkIIUgmk2zbti03/vLLL/cRgT2sXLmSLVu2MGPGjH149YamoKCAs88+m7/+9a99xhOJRJ8+wO3t2Z7VhmEQj8cpLS3NHdu1a1cfobZgwQIWLFhwQOsqKSnh3HPPPaA5xhKOEHQYES74bdY/8FAQgraUnF5RhDKOk4MdHIaLl5tDvNjUQcy0WFQYZEFBgLfaunLHbSlpTWfQhCBP1+hIGwQ0FVNmxY6mKCgiGwHrSGe4dGoVS4r6G0r3sL4rxoqOMG5FYVl5IRN8o9f+qzNtsKIjTMy0stuv3eOWBAuJ2T2+t/Scqwhyf1/ipsXE7nv81owJ3LB2G9Feptw1Pg//OLkCVRFUeN2cWV3KqRXFXPr2enboKZKWDd0iUJLdynZpCr78QiguQ+6qH3w9UqIoClu3buUrX/kKLpeLSCRCOp0esPvItm3bhlUIAlx++eVUVlbywgsvEA6HWbhwIU1NTXz88ce5c3oXiewpagfrS+ywG0cIOjjsA2Z30vWnB4lYODgcSmyNJnilOUTMtDiyMMgJZQW5/DSAB7c18pf63XlcdfEUpW6dT5fk8U571vcvaVnEDAuPqvBRVyzbDYPsNqWKwrwCP7sSGaKGSaXHzXFD/G7ds6me/2vqyD1+oq6FK2dM4MxRso95qHZXVmgNwr4WibgEudcHIKhp1Pg8xEyLfJfG1KCPX31qDq80h2hJZZge9HFCaQGuPbbIk5ZNzLKYVxAg3BYm0UsoZWzJDJ+bcGsGNRFl4Drb3RiGQXt7OytXrmTGjBk0NzfT3t7OvHnzcpW3PfSO0g0XQgjOPPNMzjzzzNzYK6+80kcI5ufnE41Gc0UiPei6zubNm1m7di1HHHEEixYtQgiBZVk8/vjjPP300yQSCRYuXMgll1wy6lY5o4UjBB0c9oGUZTEt6KPI7RSKOBza/L2xnXu3NOTEzKstnbzYHOJHC6aiKwqhtMHTDe39rmtLG5xeWcy5NeW83dbF4zuaydM1DGmTsm0sKUmZNn5dxa+phDMWHZlsZW3YNPnRulpOKC3gu3Mn9cmH+yAU6SMCISu07tvayLGl+RSMQPFWayqDYdtU+zyYls1T9W3UJ1Iogr3q8zsUCpCna8zM86Mr2RZyXlUlX9f6dCrJ0zX+oaZsyLl6NqMVIZiT72NDOIEhbQQCv6ZQKCSxHVuYUl7O5nB4UJNmRVGwbZt4PJ77XlxcTDgcZvXq1ZSWllJRUYHX62XixIkDdgA5GJx00kmsWLGCt99+G8gK0K6urlwLOYBIJIKUkkceeQSAP/zhDyxdupR///d/57rrruNPf/oTqVQKIQTbtm3jo48+4he/+AU1NTUjcg9jCUcIOjjsA2lbUjOKW1EODiNB3LR4YNuufhGtdV0xXmnu5IyqYjZHE1iDCIgNkTgXTq5gSzSBR1Op8btzHUZUkc0L7Cm42hpLIoECXadAz74lvdHWxbKOQj7VyxrmnV5FKL0xpWRlR4TTKj+56nN/aUik+O+NO3P5eYUujahhsqYrSsrMtnfr2XrtzUBjA6ELQaFLI6hrFLn0Hq8YAL5YU4aq7FsaSoFLZ06enw2ROMVuF9ODWf9GU0oqPG5mKDba5jV05OWh6zqWZfXz4BNCIKVESoltZ/MIo9EobW1tuN1uMpkMbW1thEIhzjvvPG666aYR89JTFIXvf//7rF27ljVr1hAIBDjmmGNYs2YN69atIxAI8Nprr/WzeXn//fe55557eOyxx3K+hFJKOjo62LBhA08//fS4bhW3vzhC0MFhH0hZFtODTls5h0ObdV0x0vbAW54rO8KcUVVMkWvwt4+i7ujc1mhWOJV0+wY2JdJETIs8Xefz1SUYUtKeNih0aRS59T5C4t32cB8hqA4hMg5mvq5h2/xw7Tba0wbhjElLKkNTMo1EkrYkNvTJD+zNUCKwZ8UuJWsB8905k5ib7+fJ7ihjqVvn3JoyzplQOsQsg/Ptmdl8wi7DpMLrptTjotSt86MFUym0DC67VxIKhfD7/f289WDgXDvbthFCkE6ncblczJ49G5/PR35+/l7ZrwwnA/UhnjBhAmeffTYbNmzghRdeGPC6J554IicCe9PV1cW6detyj0OhEE8++SRr164lEAhw2mmnccoppwz/jYwBHCHoMCL8z7/eMNpLOGBMO/tH/+TysVW16OAw3LiHiED1dNOZmednRtDHlugeVayQ6xvc22JJVxRStkQIMKXN+nCcRYVBpge9A0aS9D3WcEJZAc/u6r8V7VIERx/ECv5328O0pw060ga1sSSmLUnbdu7vwd5IUE2AlGCTjf75VIUCt878ggDfmF7FKRXF+Lq3f0+tLMa07T65mPvDpICX//3UHF5v7aQllWFawMcxJXm5ec866yxWr16Npmmf2Dmjt3DqiRICNDU1MWvWrD72MmMd0zRz0c498fv9QHZb+bvf/S6tra1A9v7XrFlDXV0dX/va10Z0vSOBIwQdRoTGiZNHewkHRE9rrLOrS5jmRAQdDnEWFAQpdut0dPe07c3J5bs76vz7EZP52YadfNgVA7JbpldMq2ZmXvYN9fTKYv7a0EbStNgWTWLIrKDwdee+bY0liJsWeXr/t6I9O/fMKwhw3sQy/rSzNTemCcE/z5pIcIDrh4v2tIGUkoZEKpd71xMBVGCvPAJ9mkqepuHXFBQhEMDtR07nnOrSAUXwgYrA3s/72aqBC2muuOIK1q5dm7NmUVW1j8gbLG8QstG4RCLBzp070TRtzJkpz5o1i5KSkpytTG+OPfZYXnzxRTo6+uabKorCRRddBGTNqltbW7Esi507d9LR0YFt22zevJlp06Zx4oknjsh9jBSOEHQYEY56O9uvcuWxy0Z5JftH2rYp9ehcf8QUxzbG4ZBHVQQ/mDeZW9dtJ2xkzXwVAefVlLOkV/St2O3itkXTaU1liBkmE/2ePiKm1OPiRwumcvv6HaRsCwHk6xqT/V4QoCKYEfQRNsxcBw4BXDipgnkFfdt7QbZ/7ynlRbzXEcalKBxfWkDhQS7cmp3nx5Ayt1Xe48e3t/T0+11UGMxd+OWJZXx+wtAFHwcbIQQ/+tGPiEQiPPPMM8Risdwxt9tNLBYbVAz2bBFLKamrq6OoqIgdO3YwefLkEVr90CiKwr/+679y6623kkxmc1NjsRglJSUsXLiQnTt3sm3bNtrb27EsC7/fz0UXXZQTtBs2bACydjhdXbutkGKxGDfeeCOPPPIIkyZNGvkbO0g4QtBhRDj3D78Fxq8QTJg28wsC+Ee5nZWDw0gxK8/Pg8fM5f1QhHi3R2Bpr63elGXx910drOyI4FIEJ5cXMSXQP1o+Nz/AdXMn05rMoIhsNWxvSt0u7l46i3faukjbkqVFQcq9/T3qeqjxe6jxj1zB1px8P0cX5fNhZwwbCSIb0eyyzb0qBMmKX51jSvII6BrLygpZNIRP4khSVFTEL37xCzRN44knnkAIgcvlwrKsISOCUspct490Os3HH3/MNddcw3XXXTdmeu7Onz+fBx54gBdffJG77rqLHTt2sGPHDmpraykpKeGkk06io6ODQCDAmWeeyec///nctUVFRSSTyT4isAchBM8888whVVTiCEEHh73AsG3OHiWvMgeH0cI1SJePbAFFLRsj8dzYqlCU9zoifHvmhFy+Ww+z83yUely56GJvji7Jw6+pnHoQq34PlBsXTKE5leal5hASKNQFUcP8RA8+AJei4NNVfjBMuwlJM+vJOFwVunl5edx///1UVlby4IMPEg6HMYz+KQEDIYTAtm0ikQjhcJhf//rXHHPMMajq2PjAHAgE+POf/8zWrVuBbH5gIpEgEolQVFTEI488MmB/5M997nM88cQTJJNJDMPICeSioiICgQBNTU0jfSsHldFv1OjgMMZJmNlWS3Pz/aO9FAeHMcHrrV19RGBXxmBdV4y7Nuzgi6+v5c6P64j36n6hKQrfmjkBbQ/xMjvPz5mD5LCNJXRF4X+Oms2/zJ7I3DwfzalMrlBkMDmmAF5VIagrLCoMHLAIfL2lkytXbOD8N9dx8dvreXxH85BRu31BCMGtt97KaaedxowZMygoKPjEAhKgj73M1q1bCYVC1NbWDsuahoOVK1fywQcf9BmzbZv29nY2bNjAqlWrBrxuwoQJ+P1+DMPAtm0sy8IwDDQtGzubMmXKQV/7SOIIQQeHITBsm86MybdmTmBq0Dfay3FwGBOs69qdTxY3LbZEkyRNi7QlWdcZ45eb6/nKm+tI9IoAHltawP8cNZvzJ5ZzemUR/zZnIrcvmoZbHR9vQy5V4cyqYtrSBpK+ArB33qAAfIqStcRx6Uz0e/m32QeWT7ayI8xPN9TRmEwDEDFMfrejmUe3Nx/QvL1Zv349oVCImpoaCgqyUeC9jTpKKWlpaWHDhg0sX76cp556asSjZul0mh07dhCJRCfRjQUAACAASURBVHJjGzduzK3PMAwikQhdXV3E43G2b9/OLbfcwqZNm/rN9dJLL+H1epkyZQqBQIC8vDwCgQDhcNbL8pxzzhmZmxohnK1hB4ch6MqYfKaikK9OqRztpTg4jBny9N1bf62pDBJJwrLIdFurWBlJYzLNkX9fwZ2LZ+a88Kp8bi6ZOv5+l6SU/HprI7/a0kBtNEnCsvpUC9vdgTlVgEdV8KsqRW6dI/L9XDK1isUHaG/z5M62AcefaWzngknl/VrM7Q89+XC9DaT3BcuyaGho4Je//CXV1dU88MADXHTRRVxwwQUHvLZP4sknn+QPf/gD8XgcVVVZtmwZ3/rWtyguLqagoID6+nrS6XQ/02xFUfjxj3/MAw88kIv2AWzevBmAqVOn4vF4aG9vxzRN8vLyuOCCCygrG91Cn+HGEYIOI8LPrv+P0V7CfmHakqOK80bMMd/BYTxwWkUxTze0Y0lJ2rKx7GwP26wg2i0g2tIZ/nP9Dkrc+rjuz/3nnS38YlM9dfEUSdPqlxvYEyH0qyoLCgO4FQVDSq6cOYHPVBx47mNjMjXgeMKy6MwYQxbX7C2zZ88GsiKoo6NjUK+9oRBC0NHRQXV1NVJKHn30URYvXsyMGTMOeH2D8dprr/HQQw/lHluWxSuvvIKqqlx++eXceeed/e5FCJHrkxwKhVi7di1LlizJHe8RekIIqqurqa6uzh2bP3/+QbuX0WJ8xOQdxj3tZRW0l1WM9jL2GU3J2ls4ODjspsbv4d/mTCSoqfg0FVPaKGT98SwpMW2JZUssGyKmyd8a+/u5AWwMx3mhqYMN4fiAx3uzJZJgZUeYcKZ/wcnBpD2V4eZ122lLZ7Kid5DzNCFYVBigwKXj1VTydI33O/p37NgfJvkH9i4Nauqw9T0vKSlhypQphMNhdF3P+QruLZqmYdt2v64db7zxxrCsbzCeeeaZAcdfffVVhBAsXLiQ4uJiXC4Xqqqi6zr5+fmoqprbRk6l+grtM844Y8AikkmTJrFgwYLhv4lRxokIOowIx7/yfwC8ecoZo7ySfcOWUO30FnZw6McJZYV8qjift9u6+P6arWyOJAgbZh+z5aRlETUs2lJ9e74mTItb123no/DuXMMJPjeT/V62xZIUu3TOqi7h+LIC2lMZblu/na3RrB+cJgTnTSzjooOUrlEbTfBeRwSXoqAK+PmmerbHklhSYgwhjLyqwo5EChlP4VYUKryuvbKX2Ru+PLGMD7uiuS3oHs6tKUMfJvNpAI/Hw7Rp02hqaiIajeYKJYZCCIGqqiiKgqqqufzCHnpsZg4WexpD937ecDhMWVkZ8+fPp7Gxkfr6+j5FMD3VwHuKu4qKCm666SZ+9atfUV9fn2tnd8011xySu0OOEHQYEc58+o/A+BKC7ekMxW6N0oNsWOvgMF5xqQonVRTx6HHzOOGF97F7uY7YABKihsmkPXz/Hq7d1UcEJi2LpxvaKHTpTAl4aUqm+SgcoyNdxVtt4ZwIBDCl5PG6Fib5vRxfNrzbzfdvbeSphmw+Xns6w/ZYCoXszkDSGLqHSMy0UET2NUnbNpGoyZeGSaQtKAxy4xFT+X1dM1ujSco8Lr4w4f+zd+bxUZVn/76ec2bPZN9XIIRdFhEQ3IVqBRSBWmtdWm3tolWr1ldttSjaqnWvVvrzdW2rVUTE4vq6i0VUFgFZZc2+TpJJMuvZfn9MZsiQsGcheC4/+ZjznDPnPCdkcr5z38/9vTOZ2QOWVunp6fj9fvx+P16vN7ZmcF9EK4c1TSMxMTEujQowZcqUbp9jR4YPH85///vfTuNpaWlkZWVxyimnsGLFCnJzc6mtraWxsRFd17FYLITDYS6//HISEzv7Oo4ZM4YFCxZQU1OD3W4nNTW10zEQKVJ57733WLNmDU6nk2nTpsWlmfsDphA0MekC3TBQdIP/PXHkMfkJ0OS7w4bmNtY0tuCUZU7PTiXL0TnldaSUJCaQ67TjCamo7VEzAchCEGpfZ9uRj2ub4rarA2FUw8ATUhjU3nUE4NmdVai60aX1ynvVnm4VguubWmMiMDonA4NWVccqxAGjewbERezSbVbWN7diGEa3/A05IT0prqtLT3DyySezefPmuDZzsizHdRKJEr2nqAhMSEggGAyyfv16Ro8ejc1mY/r06T2+pu7CCy9k1apVndK7F198MRaLhVNPPZU1a9bw8ssvoygKDocDTdPIysrCarWyc+dOVq9ezdixY7FYLGzZsoUNGzYwaNAgTjjhBHJy9r2kKRwOc9ttt8VVHn/22WdcfPHF/PjHP+6xe+5uTCFoYtIFIV0nx2Hv1Q4GJibdiWEYPLKlLE50vbi7hhuHF3FadtfRjSO5VlDTSbVZCGo64XZFJEvgkCRGJrvjjg3vFWFqUyLpR6P9P9GuBFvCGkLQZUef1m5OOS6v98bNMaBGqqBV3SCoHyA9CtglgdMik+u0kWy1kGi1UB9SaA6rPd4Gr7uYMWMGq1evprW1lZqaGqxWa8w/Lyr4ohiGgSRJSJKErusoioLL5cLn81FRUcFLL73UK+vpBg0axAMPPMCrr77Ktm3byMrKYurUqTEBKoTg+uuv5/PPP0dRFGRZJj09nYaGBrZv384jjzzCBx98QEpKChUVFaxbtw5N07Db7YwaNYqFCxfus0r4o48+6tJ+5pVXXuH73/8+aWlpPXrv3YVZLGJi0gWtisb4o6QNlInJ4bCiwdsp8qYZBo9/W05APZieGAePEIIClwMhwGGRSLLJJNlkEiwyGQ4r+S573LEnpO2JbLUqKj5NpU2J9CJWO0Sd3FaZNGvX8YpxqT37/gzqOj5VRTG6KBDRNPD7oF0gWoTAbZFwW2QKXA4S2+fskKV+1ZbSarUyf/58Hn74Yc455xxKSkpISUmJdRDZm+gawmjLOb/fj6IoNDQ00NjY2GvzHjhwIDfddBN//vOfkWWZRx55hCuuuILrrruOjRs3Eg6HCQQC5OXlkZ2dTSAQoKysDF3XCQQCtLW18dZbb7Fs2TLa2toIBoN4vV7Wrl3L5Zdfvs/rfv31112Oq6rKhg0beuhuux9TCJqY7IWi6xgG/GxwXl9PxcTksFle37lPKkBQ01nT2D3VrB2ZVZDJwAQnVhF5rAgg1Wrlp8W5nVK7VxTnkWS10BAKs6XFj25Eq41ho9dHWIuIjtOyUvjl0IJO3TuyHTZmF3Svl9vJmcmx71sUDQwDzQDNaDfEUcLw3w9I/PONiJ/NxH7DpYgrZpJ0z42kfPUJqAouWULtkB/+fm56t3j89SZCCMaPH88//vEP5s2bR0FBQSwiuD+iRRiapuHz+fbZtaOnMAyDO+64g9WrV8fmumvXLu688068Xi/Z2dmxYxsaIlXsqqri8/lYt24dTU1NnaqeA4EAa9asYc2aNbS2dn7PuN3uTmNREhL6Tyeq/vUbatJvuW/+A9w3/4G+nsZB4QkpXF6cy0B315YNJib9gf21NOuJZa+XF+dySlYK41LdHJfsZlxqIjPyM/jN0MJOxxYmOPjrCUOxCIk0m5VBCU5GJbuxyRJhXacmGOa0rBSuGVrI2bnp3DuuhDOyUxmXmsglA3N4+IShJNu6d2XTmNREzmsvvmhRVCwdCz12bMF58xVM2bqSf95zF+FgkGBbK+FgkH/8+S4Gr1uO/7c/oXLDetY2tVLpDzI9N53L+6F5dpRAIMArr7xCXl5epwKQvRFCxIRgNDq4bt063n33XQKBwH5f212sXbuWsrKyTuPBYJD33nuPCy64IDYWjWL6fL5Y+jtKRzNtXddpamriV7/6FZMnT2bChAlce+21fPjhhwCcddZZXc4lMzOTcePGdeft9SjmGkGTXqEluXvXJPUkkhCcmdM/1naYmOyLUzJT+GSv1DCAS5Z7ZNmD22rhwfFDWd/USpkvSIHLwdhU9z4LJbyKSorNQkoHQZfjtBHSdAa6nfzPyIGx8VEpbkal7Dv60l38ckgBZ2an8cS35bxV2UCroqFv34LzkXm8/I/nmTVrVtzxFouF2bNnM3v2bJYuXcrFl1/B4LsfIWPkaJJslngx2c/4/PPP8fki/o5deep1JNrCTZKkmIgqLS3liSee4KWXXuKee+45oJg8Umpra/e775JLLgHg5Zdfpq6uDo/Hg9PpxGazoapqrBgm+gWRiKHNZqOioiIWKWxpaWH37t3U19dz0UUX8etf/5rnnnuOUCjS/i87O5s//OEPyHL/WRJgCkGTXmHau0sB+PCcWQc4sm9pU1RSrBaGJJrRQJP+zYkZyZyTm8671Xt81qyS4IYRRTh68CE1JjWRMamJ6IaBT9VIsMhdisHELtb+SSJScJHRh8UVQ5Jc3DG6mM0tPnY0eXH+7a44EdjU1MTHH3/Muq/XIEkSt8+7A1mWmTVrFv9+/jku/cUvOeVfS3m7soGLB+bsNzJ7NBMVgfX19fsVWVGixSSSJJGamkpSUmQdaGNjI08++SR33XVXj863pKRkv/tWr17NO++8g8fjoaioiHA4TFVVFRARuqFQKOZ5GBWDQgiSkpLi0sVer5dAIMDixYuZNWsWM2fO5IwzzmDjxo24XC5GjRrV75wmTCFo0iv0FyHYqmrcf/ygfv1J3sQkym+GFfL9vHRWe1pwWmROy0ohxdazIsswDBaX1/F6eT1eRSXTbuXE9GRyXXayHTYmpCUhS4Ish41xqYmsbeq89urs3CNvy3YkpNqt3DO2hI8XL2LsqFFxkcC75t3Oo39bENu+5rrfkp4eme+sWbMY/cijVH/6AfJZMwhpOs5+VCzSkeOPPx5FUdi9ezeyLCPL8gHNpSGSTvX7/TQ3N8fMpdeuXUsgEMDp7LkP2CUlJZx44ol8+eWXcePZ2dkUFhYyf/782PyDwSButxun04nT6USSJDIzM6mvr8fn88XWRBYUFBAKhTqlt8PhMMFgkPLycoYNG0ZCQgKTJk3qsXvraUwhaGLSTljXSbDInJFtpoVNjh1KEl2U9GCbxNK2AB/UNNKqaoxJcVMfCvPCrhog4sf5WV0zb1U1UOx2kmG3ke+0c/fYwWQ6bNw4vIh7N+5mc0sk+mQRgtmFmUw9CpZmnJCeRPby/+OWO+fFjZ8xdRqqqvDCiy/S3Orv9LqbrruWa+68mynnz+23IhCgsLCQIUOGxCpj7XY7fn/n++2KcDjMjh07GD9+fCw61htRsltuuYXFixfz0UcfEQqFmDRpEj/+8Y956qmnOonYlJQUGhoaGDBgQKzvcGFhIWlpaVx55ZVs376dt99+m2+//TZOCAohcLlcCCHIyOh+Q+++wBSCJibtBDWdPKe936ZyTEx6m49rGnl0a1nMSPmD6kZ2tgUY6I74b1b4g7G2c9X+MBl2G5WBEE98W86dYwaTardy//ghfFrTyAu7a6jwB3mnyoOiG1w2KBd7H1bcflBZT9WG9Zx77rlx4+fPmcv5c+by5tLXuxSC5513Hhf88If8uCizt6baY5xzzjl8/fXXeDwedF0nGAzut8sI7BF80e4kCQkJTJgwAYej5z1ZrVYrF110ERdddFHceDQFvDfFxcWce+65lJaWous6J598MjNmzMBqtXL88cezfPlysrOzYx1WIBJhtFqtnHzyybFIcH/HFIImJu34VI25hf3/j7eJSW8Q0nSe3F4Z101DMwzqQ2G8ioKiGzSFFXQj0mHEJ2k0hRVSbVbWNLbSqqgkWi3UBcP8fXslPlXDIkn4VI3/VNRTHQjxx9HFfXJv/61r5hefrsHmcGKxHNpj0mKx4HQ6GePs349XVVVRFIXm5mYsFgt2u53k5GS8Xu9+xWA0uhatJM7OzubXv/51b027SwYMGMDOnTs7jdvtdi655JLYesaOZGRk8MADD7Bw4ULeeecdysrKYi30Tj31VK666qremHqv0L9/U01MuhFJQFGCWSRiYnIwbPb68O1lTC0JCKga0TiZ3u7BpxkGFgTbWwOMSpZwWeSY397blQ2dzgPwlaeF0rYAA3rZxskbVnlo8258FivhYABVVQ9JDKqqSjAQ2K/H3NGOqqrMnz+ftWvX4nK5KCsro62tDYvFQkpKCn6/n3A43EkQyrKMy+XCYrEwbtw4br/9dk466aSYOOwrZs+ezfLlywmHw3Hj55xzTpciMEpubi7XX389119/PZqmUVtbS2JiYpe9ifsz5op4k15h/n2PM/++x/t6GvvEp2okW62cYHYTMTlIhBDnCCG2CiG2CyFu7WL/5UKIeiHE2vavK/tint3N+qZWfv/1dm5Zu40NzW3UB/c8XL1hFaskYRDpEBJdZWEQedgYGNQGwwxLcsXarpX5g52uYbRXHP+3vhlNP1CX3+5lRUMzqgEOq5WkYaN488034/Z7vV7ef/99AqHIfX/yySdUVFTE9r/xxhuMOWFCv7IP2ZtPP/2UtWvXApFU6OjRoyksjPhBjho1itNOO43U1FQcDgcOhwOr1YrFYkGSJBRFoaioiFGjRvHNN9906e3X2xQXF3P33XczevRoZFkmIyODyy67jCuvPPi3pCzL5OXlHXMiEMyIoEkvEXIc3ZE2b1jluuGFZrWwyUEhhJCBJ4CzgApgpRBiqWEYm/Y6dKFhGNf0+gR7iA3NbcxbvxPNMLAKgWYY7PIF0AyDHKedoK5jkwUpNhu1MYFoINhjcG0AvyopiJ2zwGVn5R6HG3yqxo7WAEFd49kdVbxX3cg1wwqYmL6n80dPorQLz2yHDe/3zuUvf32M2bNnx/b/85//5LrrrottX3DBBfzkxxfwj38vAuChxx/nnJ9c0Stz7SlWrlyJ1+vF5/Nhs9lIS0ujpKSE5OTkmPeexWIhOzubUCiEoiioqoqmaQghyMrKYseOHezYsYP333+fm2++mZNPPrlH5hq1eTkQI0eO5J577umROfR3TCFo0ivMeP0VAN6efWEfz6QzWnvkoq8tK0z6FZOA7YZh7AQQQrwMnA/sLQSPKV4prUVrXzQvhKAk0cW3LX6qAmGyHTYSLDLZDju5DhsBTccg4scW1g1SbFbS7VauHJzHkKRIFXO5L0iFP8Rmrw9JQKbdRqkviGLopFgtuCwyjWGFezfu5v9NGkGWY//Gxt3BxPQkntpeSbbDRtsZZ7PupadZunRpzEJm2rRp3Py7G+Ne872zzgZg6dKlfLNpM8+/elGn8/YXQqEQH330EVu3bgX29BNOSUkhKyuL2267Db/fzzXXXEN1dXXMe0+WI36RmqbR1NREZmZm7PVPP/00U6ZMiXUf6Q4+++wzFi5cSGlpKTk5OcydO5fp06d32/m/S5hC0KRXOOWT94CjUwjWB8MRnzOnva+nYtJ/yAfKO2xXACd2cdwPhBCnAd8CNxiGUb73AUKIXwK/BCgqKuqBqXYfu9ri/dQSLDJjU900h1UuHZTLaVkpPLKlnC0tPjLtVupCYYQQJFstjEpOIM1m5UcDcgDY3Rbgf77eRlDTKUpwUO4LstnrQwB5LjtFCXuqTBXd4MOaRn48MKfH7zHHaeeSgTn8v28rKAtpBK6Zx0U/vTxmKj1y5Ej+8uBDnV63dOlSLrn8Cn729+coSeud6GVPsHjx4liXjFAohM/nQ9d1vF4vFRUVzJ07F7fbTWNjI6FQCCEEuq7H2rRZLBaqq6tjQhAivX3Ly8sZMGBAt8xx+fLl3H///bHtmpoaFixYgKqqnHfeed1yje8SZh7M5DtNWNexSRJ3jx3c11MxOfZ4AxhoGMYY4H3gH10dZBjG/xqGMcEwjAkdH55HI119WJKEIN9lZ05hFnkuB/PHFHN+QSZjUhIoSXAy1O1iYnoiGXYrRQkO3qyspy4YZmFpLUEtUmyQYJEZnpxAcaITl0VmQIKjk41Tc1jtlXsEyHRY2dzqJ6TrMHgYgRvu5qIrf8GUM6eyZMmSWBRMVVWWLFnC5DOmcvGVv+SP//g3D/+wfwuRzz77jKSkJHJycvD7/bG+vFGx19jYSHl5OaqqxvoKGx2ixAAejyc2FiUhIaHb5rho0aIuxxcvXtzpuiYHxowImnynaQ6rTM9LJ60PW1qZ9EsqgcIO2wXtYzEMw+iw8o2ngfvp58wuzGTzRl+n8Rl5GTHPP5dFJs1mRQiJNIcNmySoDyqEbAaN4TbWN7fxVqUH1YiIQEXXEQgskiDJaqHcHySkGzjkeCE4Krn7hMT+8Kka92zYTUjTkYVANwyMwcMI3P8cX3z1GT+57Q58P/whNruDcCiIe+hI2s6cyZTf3c11MyYjS/3bhzRqvGyz2bBarbF2ax0NmXVdJxwOx4muaGo4+lVRUUFKSgqJiYmMGzeuW82X91WA4vF48Pl8/aJie8uWLWzYsIGUlBROPvnkHu26ciBMIWjynUYzDManHntVYCY9zkpgiBBiEBEBeBFwcccDhBC5hmFUt2/OAjb37hS7n5MyU7h+eBH/3l1DXTBMgkVmZl4Glwzak7JdWlHPczv3GPhu8vpoDCsMcDnJdkbW+Pk1jd1tAXyqhk/TEECy1cLABCdZdhuWvaKBI5ISOCmzd9Ktqz0teBUViyQw1EhxCwBWG5w8jbaTp4GuEQoGweHAJ8lYhKBKM7h93Q7uG1fS74rOVFVl9erVNDY2MmTIEKqrq2P7opXAUaLir6MwjEYGLRYLsiwTCoUoKyujurqa7Oxs/vznP3frfAsLC7v0BUxLS+vWyOOh4PF4CIfD5Obm7vc4TdN44IEHWL58eWzs2Wef5Y477mDYsGE9Pc0uMYWgyXcWwzCQhGBwD7bfMjk2MQxDFUJcA/wfIAPPGoaxUQhxF7DKMIylwHVCiFmACjQCl/fZhLuRaTlpTM1OpUXRSLBInUTPkvK6uO1oSrcmGIoJwbCuUx0IIQmBEBGx1ayobGnxc92wQo5LcbOsrglFN5ickczM/IxeE1eSEDhkCQGxwpjOB8ngSkAm4p0oBKRaZba2+Pm83stp2am9MtfuoLy8nDvvvJO6usi/m6qq+Hw+UlNTsVgsKIpy0OlWVVVRVRWr1UpxcTGJiYm43W7+9re/8eSTT3Zbm7kf/OAHPPDAA53G586d262t7Nra2vD7/WRmZu7zvLW1tfz1r3/lm2++ASIi9eqrr+a4447r8vj33nsvTgQCtLa28tBDD3Xrz+hQMIWgSa/wh0ef7uspdKI+pDAyKYGhSaYQNDl0DMN4G3h7r7F5Hb7/PfD73p5XbyCEINnW+fGh6joNISVuLJpeDel6zOqjIaRglSRynTZqguFI5T6CBIvEiRlJnJKVyvfz+qaK/4S0RJyyTKuisf9maqABmgGyYVAeCNOoaLxWXtevhOCDDz4YE4EQKfZITEzk9NNPZ9CgQbz44otomnZQreWiglHXdZqammLRserqajZu3LhPcXSonHbaaWiaxsKFC6msrCQjI4O5c+d2W6FIW1sbTzzxBCtWrEDTNHJzc/n5z3/OiSfG14Ppus68efPiWtiVl5czf/58FixYQFdrfj/77LMur1ldXc327dsZMmRIt9zDoWAKQZPvLAL41ZB8rP0sjWNicrRikSQKXQ52+wLUB8O0qRpCgK5HCkKi0Y6QppNms5LvckT8BzUdmySwShJNvVgU0hW7fcFYEYugQ2p4P2iAN6wQ1nTeq25kWW1TvxCD5eXlXaZYJUnC4/Hw5JNPkpiYyMKFC+NMs/dGluXYWsJoFXFZWRl5eXmkpKQQDod58sknqaqqQpIkTj31VC6//PL9dvXYF4Zh4Pf7Of300znzzDNRFKXbO5f85S9/iRlqQ0Sk3XvvvTz44IOUlJTExlevXt1lH+NgMMh7773HJZdc0mlfx5T6oezrSUwhaNIrzFn4TwCW/OgnfTyTCLphoBkGJWZa2MTkiAlrOp/WNbG+uQ0LsK6pFTWaTjQgoGnkOvd4AA5PSoi1lZOFIMGypwvH4MS+NZ9fXFZLss1Cht2KV1HwqfoBI4MAigGKqhFo9XPFio2smzkZt/XofsRGbWK6or6+nnXr1jF16lQ2btyIx+MhGAzGpYmjUUBJkmJm0lEMw2Dbtm0MHz6c0tJSJEmKtep7//332b59O48++ugheQu+8847vPLKKzQ0NJCamsqcOXOYM2fOYdx5PBs2bOCtt96ivr6ejIwMvvzyS+z2+Ap5TdN46623+O1vfxsbq6+v3+c597Vv8uTJbNrU2W40PT2doUOHHuYdHBlH92+pyTHDxBXLgKNHCNYFw4xITiCzFwxqTUyOZUKazm3rtrO1JdJhuMwXJKBp2CUZATitEkOSXOQ77fyyJJ98l4OBbgc//2Iz65paaVM1bJIgy2HjjKxURib3bcVnmT8ijjIcVsKGjlWS8IZVDjZWoxoGFYEQ16/aytNTRvXcRLuB4uJiMjIyaGhoiI2Fw2F27NhBZWUlt99+O7qus3379jibmCjR7WgxSbRi2DCMWMXx7t27ycjI6NSvedeuXaxcubJTunVffPDBByxYsCC23dTUxLPPPgtwRGLwk08+4eGHH47dy5dffsnOnTsZOXIkDocj7tiOKXRgv8JtX/tmzpzJypUrY2sKIVKhfd1113Wr4fahYApBk+8cbYpGut3Kn8eWHPhgk36PEOIUYIhhGM8JITIBt2EYu/p6XscK71Y1xEQggFeJ9BuWBIxLTYz5Afo1nSFJCRQlOKj0Bwm2VwuruoHe3lt4fNqhpwq7m3ynnepAiDynnTZFozYURpYEhm4gC1CN/aeLo/s+rWumIRgm4yj+sClJEldffTX33HNPzBtxx44daJpGRkYGTU1N7Nixg2AwiNVqjase7opoethut5Obm4vD4SA9PZ2UlJQujy8tLT1oIfjaa691Of76669z5pln8t5777Fr1y7S09OZMmUKI0aMOKCw0jSN559/Pk7gulwuNE2jqqqK4uJiVFUlFApht9vj0sIAJSUlTJ48mS+++CJuPD8/n6lTp3Z5TZvNxp/+9Ce++uorNmzYQHJyMlOnTiU9ve86sZ2TFAAAIABJREFUW5lC0OQ7R6uqMqcwl8IEx4EPNunXCCHuACYAw4DnACvwAtAzjU+/Y2i6wZuVDTSHFRKtFmQhYl0KVMOgTdFI6lBU4mj3GlxcVkdYNxjodjKww/leLavl3PwMbHLfrdudU5jJ6sYWJCEodjtpCitIskSCTaYxrKIb+oGjg0ak4rgxrBzVQhBg4sSJLFiwgPfff5+dO3dSX1+Pruts2LABv99Pa2vrQZ9LCIEkSRQVFcWsUAYPHsyOHTu6PD4/P/+gz93VWrzo+NVXX43X66W0tBSPx4MQgsmTJ/Ob3/yGadOmAZHuJq+99hobN24kJSWFGTNmUFBQgMfjiTufzWYjKyuL5uZmysrKqKurQ9d1bDYbU6dORdM0ZHnPUoZbbrmF119/nY8//phwOMykSZO48MILO0UTOyJJEpMnT2by5MkHff89iSkETb57GFDgMkXgd4Q5wPHAGgDDMKqEEKZx5BGi6Dof1DTy3I4q1je10aQoyAiKEhxk2K34/BGp1LE7yHHJ7liv4M0tnU2pAVpVjQp/kOI+XLs7JjWR244bxAu7qlnd2Ipdlihy2LBLEooRIKwJWtX9VxQrhkGLotGq9G3hy8GSm5vLT37yEzZu3MiyZcvYtGkTuq4TCARi0bKDsZCRJAlZlmPiMTExkRtuuIE77rijk+DKz88/6GggwIABA7osbPF6vdjtdnbv3h2X4l63bh2PPvooKSkpDBgwgBtvvJGmpqbY/jVr1vCjH/0ISZI6VUQXFRVht9upr6/HYrGQlJREXl4ey5YtIycnh8suuyx2rMVi4YILLuCCCy446Hs52jCFoEmvELYfPX18ZSFIs5u/+t8RwoZhGEIIA0AI0Tdus8cQH9U08vT2SpbVNaMYOpZ2exhEpOJ2ZJKLDLuNNkXD3V4EUuhycMOIPX2UWxWVDc1tBDUdl0Ui12kn1WZFACm2vu/yc2JGMidmJLPS4+Wu9btARNYVCwF2i4RmGLRp+y8hCWsav1uzjTfOGEfiUV40EmXw4MG0tLRgGAbBYLDLdYH7QpKk2FdiYiKnnHIKF198MYWFhdx777089dRTrFq1ClmWmTx5MldeeSUWi4WdO3eyZs0aXC4Xp556KomJXX9O+9GPfsS9997badzpdKKqaieh2dbWhqqqvPzyyyiKwvbt20lNTY1LF7/xxhtMmDCBr776Ku61QghSU1PJyenc2/qdd97h0ksv7RO/v56if/x2mvR77vzLE309BSASyZAEjE45+lsQmXQLrwghngRShBC/AH4GPNXHc+q3bG3x8eiWMjwhBaW9RZxqGBhG1BjawBNWmZiexC8H5xHQDTLsVsakuGMPzverPexuC+Jvt8poUzW2twYoSYRz8zOPqnaPE9KSyHfZqQyESLFaYnYyTlkipBso+xBJEhAyDFY3tvJGRT0XD9p/t4mjBYfDwbhx4ygtLY1VCHf0B9wf0RZzAwcO5K9//Stnn312bF9ubi7z5s1DURSEELHCkSeeeIJ33303dtyzzz7L73//e0444YRO5z/ppJP4wx/+wKJFi9i9ezf5+fnMnTuX559/nvLy8k5zFEJQU1PD5s2bkSQJn8+HxWKhpKQkZlvj9/uZPn06mqaxevVqIJIaPv/883n11Ve7vO/W1lYURcFmO7pT/oeCKQRNvlO0KRrHpyWSbj923sQm+8YwjAeFEGcBLUTWCc4zDOP9Pp5Wv+XdKg8GnTtuyBIUu13ohsGUjGQeGD+ky04ghmHwcmktqXYrRbqDqkCo3WYmUoFx7bDCTq/pS4QQ/HH0IO7buJvdviD5Tgc1wRCFiQ42ev2o7RY4e8sFDdB1A83QeHJbRb8RggCXXnopK1aswO/3o+t6rBL4QIUikiThcrn4zW9+w1lnndXlMR39/r744os4EQgRO5uHHnqI559/vkuhNWXKFKZMmRI3Vl5ezssvv4wsy3E+fAkJCVRVVZGRkRErhFFVle3btzNu3LhYZLCgoIA777yT6upq6uvrGTRoEImJiWzcuLFLm5fi4uJjSgSCKQRNeokf/fN/AVj4k1/26TyCus5ZOX1XnWXSewghZOADwzDOBEzx1w1E28UldYiORRFAss1CSNeZ9ck6fKpGsdvBWbnpXDQgG0mSCGg6dcEwADlOO1kOG0FNxyoJnLIc5yd4tJDvcvD4xOHsbPXjU3W2trTx8JZydCNSRQyRSuK9iQhmWF7v5f6Nu/jdiIHI0tGfTpwwYQKyLMfEU0cx2FWETJIkkpOTKSkpYebMmVxzzTUHdZ19ddhobW1l7dq1TJo06aDOc9FFF1FWVkZtbW3M9NrtdmO32wkEAuTk5BAOh2lubgYiYtDr9ZKamsrxxx8fS//m5ubG9Qm+9NJLmTdvXuznEL3XjusDjxVMIWjSK4xdE1mD0ZdCUDMMJARTc9L6bA4mvYdhGJoQQhdCJBuG4e3r+RwLjEhOYFVjC3ZZIsdhpzoY8dwTCAwMtrX4WdfUimFAQNNZ3djCW1UN/O/2SuaPGcxpWSmk2iyx7iGSELjaxV+Ow8Z/yuv4qLaJoKYzIT2JHxZlHRVrBgGKE114wyp3bdhJut1KkcvBTl8ARd9/2lQH/rRhN35N584xg3tnsofBpk2buP/++1m6dGlsfd3BpIRtNhvJycnMnDmTm2666aCvt78uGgdqZ7f39W+//XYuueQSFi1axIYNG4CIoXNOTg5OpxOXy0VRURFVVVWoqoqu64wfP54bb7wxdp5t27bxzjvv0NjYyPDhw5k5cyb3338/r732GqWlpRQUFDBnzhxGjBhx0HPrL5hC0OQ7g0/VKEl0dtkj1eSYpQ34RgjxPhArVTUM47q+m1L/ZUZeOh/UNFIdCFGY4MBtlfGEFIYlufCpOlZJxdA0AppOqP1hHtYNvm31c/+m3bgtg5ldkMVzOztbgejA0zv2jC+tqGelp4VHTxgaE4tHQljTebWsjk/rmgjrOpPSk/nxwOxDEpqf1DbG2s8NdDvwhBXqQwfw1gOCms7Sinp+NCCHEcl9W6/U2NjIiy++yJdffonVaqWkpIT6+noWLlxIfX39IbU5k2WZkSNHsmDBgkOqAIZImnf58uWdxp1OJ+PGjTukcwEMGjSIm2++GYjc42233caSJUsASEtLo7CwkMzMTHw+H4899hhjx46NvXbZsmU89NBDMQG6evVq3n//fR544AFuueWWA167oaGBd999l6qqKgYOHMj3v/99kpOTD/ke+grziWjyncAwDFrCKlcPKejrqZj0Lq+1f5l0A26rhQeOH8LrFXV83diK2+Lme7lp5Drt3LRmG0FNxzAg3CGio+iRdo5BTef1inruGlOMgcGS8nq8ikqG3coZWam8Wl7X6XrVgRAf1DQyqyDziOd+z8ZdrG7c44n3dlUDa5ta+euEoTjkgxOazR3sYDwhlY6rIPfXl1gxDLa2+Llt7XYemzCMgiP0MNUNg1WeFkp9QfKcdk7MSOpyTebeBINBbr31Vqqrq4GIefTbb79NS0sLwWDwkOYghMDtdnPHHXccsggEOPXUU1mxYkWcGJRlmWuuuWa/HnwHQlEU/vCHP1BRUUFycjLNzc14PB6amppiHoHz5s2L+QwmJCTwzDPPdIpC1tXV8dprr3HllVfu93rbtm3jj3/8Iz5f5HPmZ599xhtvvMF99913SD6JfYkpBE2+E9SHFE7KTOEHRVl9PRWTXsQwjH/09RyONZJtFn5anMdPiyPb21v9PLWtkg3Nbfg1DU03OgkiCYFNkqgNhhFC8IOibOYUZuFTIxYzH9Y07vN6W1t8wJEJwa0tvjgRGKUqEOKjmiZm5Gcc1HlGtkfzvGGVUn8ABLgsAr/a+Z73JqjpfFTbyCnvr+LSgTn8emjBYfmZtioqf1y3gx1tgdhYvtPOn8YO3qd5taqqfPzxxzz33HOsWLGCpKQknE4nHo+HUCh0yCIwSkZGRty6ukNBkiRuueUW1q1bxwcffEBjYyOnn346p5xyymGdL8rnn39OZWUlQgiGDBlCU1MT9fX11NbWkp2dTU5ODrqu8/nnn9PU1MSvf/1rGhu7/v37+uuvAfjmm2948803cblcTJs2jeOOOy52zNNPPx0TgVGam5v517/+xa233npE99JbmELQpFdoTer7MPlvhxce1Kdmk2MHIcQuugjUGIZR3AfTOeZY29jK/G92oug6uhFpFeffK7VolQSZDhsWSTCoQyRMEiLmr5exnyr+/e07WLZ1aIG3N9tb971vbyakJTE2xc3i9uilYRjoOlgPovWcDgRUDd2AT2ubKPMH+fukEYdcIPPPndVxIhCgMhDiqe2V3DxyIIvL6/igppE2RWVcaiIXD8zm2Yce4MMPP2TdunUEAgGqqqpi1jCHkgreG7/fj8fjQVGUuIrgQ+GTTz7h008/BSKCa/Hixdxxxx2HHU0rKyuLfS+EIC0tjdbWVhwORyfvv82bN3fqH9wRt9vNtddey+LFi9E0DSEETz75JFdddRXXXnstgUCgy8pigJUrVx7W/PsCUwia9Ar33vVQn107oGk4ZYlBbmefzcGkz5jQ4XsH8EPArBbqJv65qxq1XVAUu5182+rHMCLV+ZphYJckBiY4yHfaaFNVihIcNIeVTuvyxqa6KXQ5KPfHR6askuD7uUde5Z+1nzZv+9u3N0II5o0uZnOLj7VNbfhVDbtsYBiRNcgHklSaEYkMVgZD2GSJ18vrGJOSyJqmFpyyzBnZqQecz4c1jWiGgbyXqPnC4+WRLWV8Wrene8Zn9c18tKMUZfXXbNu2LVb8oes6qqrGWsIdLrIs88QTT/Dxxx9z9913H7KtyrvvvsuHH34YN1ZdXc1DDz3Eww8/fFhzKioq6jQWDAYJBoNUVVXR0NBAamoqeXl5WK1WVFVlzJgxrF+/vtPrJEli0aJFcd1VPB4PTz75JNOmTaOkpASLxRJXWRzF6ew/zxszPGJyzOMNq8wtzMJqRgO/cxiG4enwVWkYxqPAzL6e17GAouts6xBNc1stjE1JZGiSi5FJCfxlXAmXDswhz+WgIhDGMODl0lquWLGJV8tq+by+mT99s5Pb1m7ntfI6bhk1gDEdjN5znXZuGzWIPNeRdyWakJ5EvrPzeZyyxNmHKDRtssScwixGJieQ5bBFxJ2uHzA1DBF/QdUwqPCFWN/Uwk1rtjF32Tr+vauGf+2q5pdfbmZZbRN+VcOnxsvKDc1t/HbVVr5o8LKmsYVtrX6UDuvagqrOx7WdU5wVnka+aQ3GOobAHksYOLjWcVEkSYqJx2g1LkQqjvcWdAfDxx9/3OX4tm3bqKysPOTzQcR4eu90dUtLC+FwxLYoHA5TW1vLli1b0HWd4uJibrjhBkpKSmLHS5LE+eefz/r167v8+Xg8HpYtW4bNZuPUU0/tch5Tp049rPn3BWZE0KRX+MlTjwHwz1/0frGmEDAls+9T0ya9jxBifIdNiUiE0Py7d5jsbPWzuLyOHa0Bsh02wpqOTd7zAUtuTwOnWC1cP2IAqq7z8y82x0WvVMPgT9/sItlmIak9Nby2qZXXyuq5eeQArh9WSMgw8Ckai8pqefzbcrLsNmYVZHJKVsphzVsSgrvGDubxreURexug2O3kqiEFh9XJ5Lz8TD6pbaLaH4oVxhysQ6BB5GcQ1g1UQ0cnUlV9XIobv6px1VebGeh2IgvBmBQ3vx5agEUI7ly/k5Cuk2qz0hAO0xRWCGs6o9rFc2GCg9p2j8Yo0TSwT9Oh3RB6b2FzsFYtFosFi8VCOBxGkiQsFgtu9x7hvmrVKqZPn36QP4UIoVDosPbtD6vVyj333MMzzzzDF198QUtLC8nJyUiSFJcGDwQC5Ofnk5eXB8AjjzzC1q1baWxsZOjQoaSnp/PCCy90eQ1d12Pn+sUvfkF1dTVbtmyJ7R8/fjyXXHLJYc2/LzD/IJr0CsM3dg679wYNwTB5Tgcjk82Wct9ROq5JUIFdwIV9NJd+zbYWP7eu3Ua43TevMhCiLhTGIUud1vFNz4sUX6xraqMxHG+vEtJ0aoJhFMMgyWqhIRSmzBdENQy2t/kZm5rIhUVZLNhWEfPo84QUNm/y0aIUHHRhx95kOWzcPXYw3rCKouv7LKw4GJJtFh4aP5SHNpWyyesjpOscvPNdRAy2qTp2CQwkMDSawwpbWvwEVA2fqpPtsPFfpZndviCnZ6XE7HgKXHa8ikqLotIS1gjpLQxJdHHLiAH8ZXNp3HXKy8uRZRmr3U70XyFqDn0oXn0QET9OpzP2OkVRSE/fE009nErfCRMmsHPnzk7jGRkZDBw48JDP1/H1t9xyC7qu85///Idnn32WUChEZWUlXq8XWZbJzMxk9OjRca8bNmxY3Papp57Kli1bOolnu93OjBkzAEhMTOSBBx5g8+bNVFZWMmDAAIYMGXLYc+8LTCFocsxiGJFeoDePHHBUdiww6RV+bhhG3JNGCDGorybTn3m5tCYmAqPkO+00hBQkIsUQFiE4KzeNHw3IBiKm0nvTqqoYtBeWqBq72gKxtGqLolIdCPE/a7aR77J3Wtz/cmkNZ+emHVHRV3f5iCbbLKTZLSAiWQdxgGKRvRECFEMnrOr4Eaz2tEb6NxtQ4Q9S5g9iEYIESxu1gRAOi4xuGFQHQ9QHQyhGJAoZUCNp6cXl9SRYZKp9QXyNDTQ1NVFdXY0MDAy1Ue5wEAwG0XX9kEUgRP6eWq1WrFYrkiRht9tRFAW7PZJyP5xU6Jw5c/jyyy8pLd0jYC0WC1ddddURrV2MIklSrHOI3W6nuDi+Riy6b19cccUVLFu2jK1bt8bEoBCCyy67jFWrVrFkyRIKCgo4++yzGTFiRL81mzaFoMkxS0g3SLFZmJSe1NdTMek7XgXGdzHWuav9MUZA1djc4iPBIjM00dVJVB0qm72+TmNCRFLBD48fSsjQyXPa4wpBRqe4sUoirvuGRUQe8MlWCw0hJU48WdrnWB9SSLDKpO5VVNIUVvGEFLK7WO/X27QoKm9XeZAAWQgkIinfgxWDWocDNSIfWvdGMQx8qsbqxhYKEhxU+oI0KVrsGgYRO5lVnhY2NvsYleRk42efELS7MBSFUGUZ0rL32F1TTm5uLg6Hg927dxMMBrsscNgX0d8dt9vNqFGj2LZtW0wEyrLMhRdeyAknHPpbyu128+CDD/Lxxx+zefNmUlNTOfvss7vVf2/ixInk5ubGvBOjJCQk8L3vfW+/ry0uLuaFF17ghRde4PPPPycpKYlZs2bxxhtvxBWX/Oc//+Gee+5hwIAB3Tbv3sQUgibHLN6wynn5GaZlzHcQIcRwYBSQLISY22FXEpHq4WOatysbeG5nVawLRqHLwe9HDaTwCIyM0+1WWtXOdbE2SVCQ4MAud36fJdssXDYol2c7dAxJtsrkOOyk263sbttTJSyIiEqIVAt7QgohTcdlkSOp0HCkyvWL+mbOL8o+7PvoLna2BmhTNVwWmaCmE9b1iKn0oYQFDwLFMGhWNLzNvi7TzypgaJFrN+zagfzRW4iGekTAT4K3kVAohEKk20ZBQQF2u72T793+kCQpZjXjcDhISEhg7NixlJSUcP755zNmzJi4FPGh4nA4OOusszjppJNwu93IB2nufbBYLBbuvvtu/va3v7Fu3ToMw2Dw4MFcddVVpKamHvD1hYWF/P73v49t33333Xi98R0rW1paeO6557jzzju7de69hfmENOkVGjKzacjsvT/eumGgY3B+4ZF3JDDplwwDzgVSgPM6fI0HftGH8+pxNnt9/H1bRUwEApT7g9y9YdchVYjuzcx9rM37Xk56lyIwypzCLP5yfAln56ZxSmYK1w8vYvFpoylKcJBkizz0JSBBlij3B9nU7KMprNAQUtjtC/JVQwtbvX4qA5GU6K9WbuWHy9bjCYX3ec3eIMNhxSVLCAFOi0Sy1UKq1YrlyAKvXXKgfzWNiC1Nvd+P5nIT9tQRbGlGUZRYKlhVVRoaGg4pMhwtELFarTidTnJycrDZbEyfPp3777+fM88887BFYCgU4oUXXuCkk07C4XBQWFiI3W7npJNO4oUXXjjsYpGuyM7O5oYbbmDatGlkZGRgtVopLS095PeDYRisWrWqy31r1qw5pCjr0YQZETTpFR6+7c+9er0WRWNIoovRKWaRyHcRwzD+A/xHCDHFMIwVfT2f3uS9ak+X49WBEN80tzEmNfGwzntOXgbNYZXXyusIaDoWITgzO5WfD8474GtHJrs7FWwtmDicjd427lq/i+UNzbRpGoYaaeMmAy5Zpk3VUI1IizqnLHDIEgYGXzR4eXBTKfce33eL8gtcDqZkplAZCEUKYgTIIlKhLBlGrOVc9OtIOdCqPg3wpGRh/OAKjOIR8On/Ie3+NhbRs1qtDBs2DJ/Ph8fjQQjRpRBKSEjA4XDQ0tKC0+nEarXidru58cYbufjii3G73UfUAg7gq6++Yu7cuYwaNYqbb76Zc889N+bH9+abb7JgwQJuvfVWlixZwsSJE+NeGw6HsVqt+xW0qqrS1NREcnIyNpsNr9fLTTfdRH19PRDpDbxlyxZKS0uZPn06ZWVl5OfnHzC1K4TAZrN12YnFarV2ezSztzCFoMkxSZuqcn5BwRGvizLp93wthPgNkTRx7OllGMbP+m5KPUursu+oRIty+F0kAC4amMPswkyq/CEyHLaY/cvhIITguJREJmUks8sXoCmsUBdUwAAVg7pgGI1ItFAmIrCi7+ewofOVp4W6YPiQDKG7m5tHDsAmCV4vr6c+FEY3IpFNP3psXWRk3aNxwM4j3YFhc2BoGow8HpJT0V9/EalsB5IkIUkSw4YNw+VysW7dOhRFiYnBqCAcOHBgrH1aKBRi4sSJJCUlccEFFzB48OBumePKlSuZOXMmzzzzDLNmzYrbZ7FYmD17NrNnz2bp0qXMmDGDt99+m4kTJ/L555/z4osvUlZWRnJyMueddx4XXnhhp7/xS5cuZdGiRTQ3N+N0OpkxYwY2my0mAqPous4jjzzCq6++GjPCPuGEE/jd737HihUrWL16NU6nk6lTpzJmzJjY684880zeeeedTvd1+umn9+jzZv369bz00kt8++23ZGVlcd5558Uql48UUwia9ApX/u0BAJ6+5n96/Fp1wTA5DjsnZx6e55jJMcW/gC3A94G7gEuAzX06ox5mTGoiX3paOo1bhOC4lIQjPr9DlilOdO1z/7qmVt6oqKc+pDAk0cWcwkzy99NTd6O3jRynHQPwBBV0w4jr0KET9d7bMyYQWCRBm6L2qRBMtFr44+hirh1WSE0gxB/X7aDUF2KXz0+bonWI4glkDHTjwJG9w0VApBTZ7oh4Bq5ajhoKIhQFm80WK+6IFjuUl5fHqoc1TcNmszFq1Cgg0jHktttu4/TTT+/WOYZCIebMmdNJBG7evJmXXn6Z7KwsLr/8chISEpg1axbPPPMMc+bMYdGiRdx3330xwer1ennhhRcIh8NcdtllsfN8+OGHPPXUU7HtQCDA4sWLsVj2SJ3a2lrq6+vxer0oioLb7SY7O7JsaeXKlVxwwQXYbDZ8Ph91dXX8/e9/Z+bMmcyfP5/ExER++tOfUlZWxsaNG2PnHDFiBD/7Wc99tty4cSPz5s2LeRdWVFTw97//nba2Ni688MjdsEwhaNIrFG/f2ivXaQ4r2CSJl08Z3W02ESb9mhLDMH4ohDjfMIx/CCH+DXzW15PqSc7OTeODmkZ27dWP9odF2Z1au3U3H9c08siWsljka2dbgP/WN3P/8UMoSnBQ6Q+yqKyOTV4faTYLM/Iy2r0EFTwhhYCux4nAaHoV4o2Qk60Wchx2io6g+KU7SbFZWVHvJagbZDqseMKRn3NIM1ANAwnIT3Ci6Brl/lCcqO0uROz/AqOuGqlyN7qvFSEE4XAYVVV57733KC8v55JLLuHDDz+krKwMTdMYOXIk11xzDVVVVbjdbs4888yY0XJ3smjRIkaOHBknAj/88MO46t1773+I7Vs34XA4mDVrFo8//nicCOzIG2+8wYUXXhizsFm6dGmX1y0tLSU3N5fy8nJqa2uBSJ9kwzAoKysjNTUVm82Gx+OhrKyMAQMGsGvXnjW1//73v/F4PDz22GMkJydz3333sWnTJsrKyigoKIhFUXuKRYsWddkTesmSJcyePfuQW/vtjfmkNDlmMAwDv6bz4PFDTBFoEiXqo9sshDgOqAGy+nA+PY5DlrlvXAnvVDWwprEVt0VmWk4akzJ6truOphv8Y1d1p/SnT9VYWFrDpYNyuWnNNtraK4+rAyE2en0clxyJUrYqKjrx4o/2banDYJLFQrHbwc8G5x1VjgAt7Sl5SQiGJ7nwhBRaFBVZCH5QmElIhw3eNordLkp9QVoUlWZFJZJBNo5YHOpE0ujC14LYvgmj0QPBQFyf3NraWtLT01m7di3/+te/qKurIykpqZORck+xYMECbr755rixP9xxFxDp7PHaf97gs08+4tVXX+XSSy8F4Oqrr+a3v/0tY8eO7XS+QCBAY2NjrKVcVOTtTWJiIrt27WLXrl0A2Gw2DMNAlmUMw6CmpoaioiK8Xi+aplFWVhYnPA3DYNu2bSxZsoTLL78cgJEjRzJy5Mgj+4EcJLt37+5yvK2tjYaGhiMW7ebT0uSYoTmsUuRymClhk478rxAiFfgjsBRwA/P6dko9j8si84OibH7QizYrdaEwnpDS5b5NXh+vldXFRGBHtrf6mZadyvL6ZgTs+WoPcVmEYEp6EoYQjEtNZJDbyfS8dIYmHXmauzsZk5oIu2uAiBjMdNhidjjnFWRxQnoSpW0BPGGFwW4XTlni9PdXsdMXwKdoqF2Ybx8qOiD7fUirP0cJ+kEJQ7v1iyzLaJpGXV0dKSkprF27lvPPP/+Ir3mwaJrGV199xbnnnhs3/tXyZQBce+21ZGVl8dknH/HfFV/GhOB5553HBRdcwJgxY2Jr8EL9eBM+AAAgAElEQVShELquk56eHqta3rlzJ8FgkKqqKtLT02NRQsMwqK+vjxVy6LpOMBhEkqRYr2S/P9IzW5ZlHO3G23sjyzJr1qyJCcHeJDc3F4+ncxGYw+EgLS3tiM9vCkGTY4KAphHSdeaNHhTX+9Tku41hGE+3f/spULy/Y02OjESLjEUI1C5SeKk2K1tauvauC+oG03LTeLfaw7YWP3UhJda/V0KQaJVJtFmZP6aY49OOXnP4EckJnJKZwn/rm+PGT0hLZHxapFJ7gNvJAJyxfQ+NH8oln2/AE1I6RUIPB7n9HEY4jEXXMHQdvV08RSNgSnvP4XC4d+132tracLlccev1ohYxKRlZyLIcE3U1dXsKOywWC06nE03T0DSNnTt30traCkSicuvWreObb75hyZIltLS0UFlZSWVlJQMHDiQzM5OmpiaSkpJwu93U1tai63qsSCYqLKOp1fz8fFpbW9mxY0fc3G02W+wcfcHcuXPZsGFDp/Hp06cfcQU3mD6CJr1EZcEAKgt6xnXdMAzqgwrzxww+qh8UJr2PECJbCPGMEOKd9u2RQoif9/W8jkXcVgunZnUdjZ+el96pH3EUAeQ67JyUmcLIFDcnpidR5HKQYrWQZJUZkZzA7ccN6hfv7f8ZOYDrhhUyPi2RcamJXDWkgNuPG7TPatKTslKYkpGM2yJjlSLdSToeGY2OJkgCt0Xa7wPbIiDFKmN1urA6Hci63qlNm8ViiYmZE0888Uhu9ZBxu934/f44r71o1K65oQ5N02JRr5ysPf6vqqoSDAa54447qK2tpa2tDbvdTlFREW63m1tvvZWXXnoJgKSkJIYPH05SUlKs7+9pp51GZmYmTqcTl8tFIBCgpaUFn8+Hy+UiLy+PM844gwEDBjB48GBycnJiKWOIiMCSkhIkSTpgJ5KeYuLEidx0002xFLjb7ebCCy/stuikGRE06RWeuOmPPXbu2mCYyRnJTM87fHd7k2OW54HngNvat78FFgLP9NWEjmWuGlJAWDf4vL4ZA3DIErMLMjkrN500m5VVjZ2rmSdnJJPhsPGLknx2tQVoAIa3rxvMddq4b9wQ0uzxRS5V/hBferxYhOCkzGTS9yEyextJCM7KTees3IP/W5RsszA+LZF1TW1ohkGbqhHtyOeQBC5LpBOLLAmsQrCjzY9P0yPV1cYesSi329TYNQXruRdi+cfjNDU2xsRg1Bg6JyeHuXPnUlRU1O33vz9kWWbSpEm8+eabzJ49OzY+6eTT+Gr5Mh577DGWLH0TgFOm7BGpb7zxBpMmTcLpdFJUVNRp3vX19QghYuOJiYmxNY/nnnsuiqKwYcMGvF4vTU1NMZNtwzAIBoOcc8452Gw21qxZEzvn8OHDqa6uJj09neTkZKxWK7NmzTqsfsrdxemnn85pp50Wi6x2p2ehKQRN+jV6+6e2+WOKTc9Ak67IMAzjFSHE7wEMw1CFEEdmpmeyT5wWmVtHDaQhGKYhpFCY4CDBEnlgnZCexG+GFvDCrhq8iook4KSMFK4ZVghArtPO3ycN57O6Zir8IQYmRNb77r3UY+HuGl7cXRNLoz6zo4prhxUyLefI10r1BcOSEqjwhxiZnMA3zW3IQiCLyNrIyRnJ1AXD+FSNUYnuSMFHKMyABCsJFpk1ja1ohoEQESGYZrcT0FVIcPP/2Tvz8KjKs/9/nnNmX7IvhGxkgbCLCCooCO51t2pxeeuCrUvdWrWrb622Vmurba3V0r5YrVpbrVulav2puLKIC4IgsiQkJGRfZ9/OeX5/zGTIkBCiECBwPteVKznP2Z6ZSSbfuZ/7/t7TZsygvb2dtrY2AoEAJSUlnHvuuZx++unDXuW6K77zne/w8MMPpwjBu++8nRNPPJGbb74ZgMKSMs4///zk/ocffpjrrruO9vb2XV53sGXu+fPn8+ijj7J27VpCoVAyX1IIQWVlJR988AFWqzVlydrpdFJZWcnChQvJz8+nqqpqj9ro7S2EELjdX80QfjAMIWiwT7juvl8Aez8y2BGOMjcvk1EHQBN6gwMSvxAim0T6lRDiaKBn8FMM9pQcm4WcAfz9Th2dw4mjstgeCJNuMfWzs7GpajKaFtH0eLVwH7Z4Azy+tYmOcBRvTMOiCHKsFv64sZ7DM939IocjgfOK81jR1gOWeDcVk4i3rRvjtOEwqYxx2fFEYxyfn4ldVTmrKJcl2+OiaHKGky3eIBKocNsZbbfSUzqG2Ov/BiAnJ4ecnBzKy8u5++67cTr3b4HNBRdcwI9+9CNeeumlpIXMCSecwIYNG3jqH/9gVH4+l19+eTLv7aWXXmLDhg2cf/75/Qyhe0lLSyMYDPYbN5lMHHXUUbhcLiZPnsybb76Z3CeEQFEU1q5dS2ZmJmPGjCE9vX9VfSAQYPbs2XvjoR/QGELQYJ9Q2FA3bNe+pGzUsF3bYMRzM/Fq4QohxDIgFzh/8FMMhhOTolDqsu9y/1ZfkEe2bGdttw+TIpiTm8G3Kgtxm0280dTJ5z1+An081ZqDESrddla09+yyH/KBTLHTxn3Tx/LMthY2evzoEvJtlhRRm2Uxc+24ImyJ5cCJ6S5ebGgl3WyizGUnqGmAINNiYuERE5g9azxvvPEGHR0dTJgwgeOOO26Pveb2BlarlRdeeIHTTjstxVR6/Pjx/PzOO1OOfemll7jyyit55ZVXsFqtFBUVccIJJyQFXSAQoLa2llgsRnp6Ops2bWLMmDFYLBaEEFxzzTVkZmYCUF9fz+jRo2lvbycUChGJRJLFJz09PWzdupUpU6b0W27NyDg0HCgMIWgwYpFSEpWSsYN0OTA4NBFCXCCl/BfQBRwHVBFPpdoopRzY48Rgv9MZjnLbp1vwJmxmorpkaUsX24Nh7ps+jo86PSkiEEBHUucPEdOHq2fH8FPstHHLhFLybRaeruvvhTc7Nz0pAgGOzcvg2D6FOXoit9BlUlESKTKXXHLJ8E/8KzBz5kxeeeUVzj33XP74xz9y7bXXcuaZZyZ7DS9ZsoSHH36YDRs2JNvL9XLjjTdSUVHBa6+9xmuvvYbL5aKgoACz2Yzf7ycWi7Fw4UKOO+44Ro3aESDo7R7S0dHRbxk5Pz8fn89HW1tbyjkOh4O5c+cO/xNyAGAIQYMRS0ckyuR0J+496HdqcNDyY+BfwHNSyunA+t0cb3AA8P+aOpIisC8bPQHWdfsI9fHa0yVEdB0pIaZICvZjq7m9xYLSfOr9IZa378hemJDm5JqxRYOepwixR32fvyrNzc0899xzrF+/nqysLE477bQhLaXOnDmT6upqnn32WX7zm99wwQUXYLfbCQaDHHnkkVx33XWcf/75yariXhRF4cwzz0TTNOrqUleZepe9S0pKUgQdwIknnkhtbS2jRo3C5/OhaRpCCDIzMxk7diw+nw+fz5c8Pj8/n+9973vDko93IGL8BzUYkUgpiemSG6v2beWbwYihQwjx/4AyIUS/vlNSyrMGOMdgP9MYDO9y3/ZAmAK7lXyblYZAiEBMSxaMKELh6W2tTM9OO6C6jXxZzIrCjyeXUecLstUfpMBupeoAM87upaWlhVtuuQWPJ14JXl9fz5o1a1i4cCHnnnvubs+3Wq1ccsklXHLJJWiahs/nw+VyDakatqmpaZf7mpub+42dddZZbNq0iZdeegm3242UErfbzdixY1EUhbS0NBYsWMBJJ50EQGVl5SFVfGgIQYN9Qk3l3m1h5IlqVLgdSaNWA4OdOB2YDjwB3L+f52IwRAbrHVzqtDE/P5PPe3y0BMNYFAUEWBRBmsnEJm+AN5o7OXX0yMsT3JlSl33QPMoDgeeffz4pAvvyz3/+80sbHauqOmCxxq4oL9+1N/zO+z777DMWL15MTU0NLpeL3NxcsrKyUu6nKAqnnnrqoNc9mDmgPjotXLiQvLy8/VbabjB8LL7++yy+/vt77XreWIzpme5D6lObwdCRUkaklCuB2VLKd3b+2t/zMxiYk0ZlkzHAEufkdBfV3gCbvX4yzSYQYDcp2FUFh6pS4Y6LpuVtRkH4vmLDhg0DjgcCgX7LtnubefPmDdhfd+LEiUydOjW53djYyB133EFNTQ0QryQePXp0Sgu5zMxMbr311kNWBMIBFhG8/PLLuf7667n00kv391QMDmBiuo5dVbl6N3kzBgZSyoE9JwwOSNItJn51eCWP1zSxqsODVVWYmObghfo2/lqzHQBNj1f9lLps2FQFJNT4ggRiOs3BMHPzMjjxSxg6G3w1srKy2Lp1a7/x3ty74cRqtXLPPffw1FNPsXLlSlRV5bjjjuOiiy5KCQ68+uqr/YpDrFYr+fn5fP/736egoICysrIUD8FDkQPq0c+dO5fa2tr9PQ2DYeDmX8YbO/z2tl/u8bU8UY3DMlykWw6oX18DA4MvwfZAiA87PFgUhWNyM5J/z4UOGz+eXAbEc4Hnvf4xjaEduYOqiL8HdIajFDpsbPb5k7mCJiF4YGM9YV2OSCuZkcTpp5/Oxx9/3G98xowZ5OXlDfv9s7KyuP7667n++ut3ecxA+YJ9GTt27N6e1ojE+E9qsE/IaetvifBVkFIS0nQuHGN4BxoYjFSe3NrEM3UtSQG3uHo7N48vTbFEAVjX7afat5NZsACHSaEjEiXeVC2OTVFoC0doCkX46ZotqAJmZKUNaGxtsOfMnDmTq6++mqeeegqv14sQgiOPPJLvfve7w3K/pUuX8vLLLye9ERcsWMCYMWMGPaeiooKVK1cC8Z7FvR1FYPA8w0MNQwgajCg8UY1Sp425u2hub2AAIIR4kB0aoR9Syhv34XQM+vB5j6+fV15Ul/zuizqmZbpw9ckRDGoamuz/MpoUQZbJTJ7NTEiTBGIandEoAU0SiOk0BcNcuXIDh2W6OKswl6vHFu4yn7jGG+CZba184fGTYzVz+ugc5o/QdnX7mjPOOIOTTz6Z+vp60tPTyckZnijsv/71Lx5//PHk9uuvv87rr7/O7373O6ZMmYKu69TX1+N0OpNzqK6uJj09na6uLurq6ohEIphMJkaNGsU3vvENioqM1KJeDCFoMGLQpMQf0/jFYUZfYYPd8lHi+zHARODpxPYFwOd74wZCiFOBBwAVWCyl/NVO+63A48ARQAewQEpZuzfuPZJ5p6V7wPGILvmgw5PSM3hShotsq5m2cP9eslMyXBQ7bWz0+Pm0K750HNR0YlIiiOcSNwXDvNzYTonTxmkDLBXX+oL88NMtSX/CjnCUjZ5tdESinF+Svxce7cGPxWKhoqJiWK4tpSQcDvPss88C8ahedXU1PT3xoqCLL76YM888k6ampmQv4okTJxKJRNiyZQvt7e1s3rwZVVUxmUyoqoqUkuLi4mGZ70jFEIIGI4aWYIQzCnOYmze8icgGIx8p5d8AhBDXAsdKKWOJ7UXAe3t6fSGECjwEnAQ0AB8KIV6SUvYVmVcCXVLKSiHEhcC9wII9vfdIRx8gwtfLztE/p0nl1gml3LammpjcYSadYTZxx9RyuiMxbluzBYlEl5KoHj/fqsatZXzRuDn1/2vqGFAIPrutNcWkuu/4mYW58esY7DPWrl3Lu+++S2NjI6tXr6alpQWTycT27dtRFAWfz4eu65jNZjRNo6mpiUceeYQxY8Yk8xL/85//EAwGmTRpEs3NzUlfwry8vGQU8OWXX2bBggVD8iw8FDighOBFF13E22+/TXt7O0VFRdx5551ceeWV+3taBnuBLyZN3f1BgxDRdVRF8M3yAiMaaPBlyATSgM7EtisxtqccCWyRUtYACCH+CZxNarTxbOCOxM/PAn8UQggpB1FChwBH56Tz36aOfuMmIZiZldZv/PKK0YxPc/CnzQ00BSNMynDyvaoSShI+e9+uLOR/11QT0DQUBBZVYEuYSlsS330DdCsB2OwNDDjuj2k0BsOUHeBefgcTjz32GM899xwej4cPP/wQTdOSgi8SiWCxWNB1HV3X6f0T0nUdIQR+vx+LxUJaWhqdnZ3ouo7X68Xr9RKNRhFC0NramhSCHo8Hv99PWlr/37dDkQNKCP7jH//Y31MwGCYe//aepWR1R2J8rSCbSqOvsMGX41fAaiHEW8RdR+ayQ5ztCYVAfZ/tBuCoXR0jpYwJIXqAbKC970FCiKuAqyDeHutgZ3qWmxNHZfFGc2dyTABXVowm02oe8JyjczM4OnfgvOBLy0ezttvHqvYePu2Kt6ELazpWRSHHHb/etMyBjefzbJYBu5moQpBlGXguBrsnEAjw2muvsX79etLT0zn11FMHrdCtr6/nueeeA2Djxo1oiX7SwWAQKWW8SDAUQlGU5DaQ3A4Gg2zevJlx48YlheKWLVsIBoPEYjEAwuEwfr8/mUd4qLSPGwoHlBA0MNgVEjinOHd/T8NghCGlfFQI8So7RNoPpZSDe0rsY6SUfwH+AjBjxoyDPloohOCm8SUcn5/FBx09WBWF4/Izk11FpJRfOur/7cpCXtnegUlAr6xThKAlFGGMy843SgfO9zuzMIdPu7z9xufmZRj2VF8Rr9fLD3/4Q+rrd3xOev3117nppps44YQTkFKybNkyVqxYgaqqzJkzh4aGBgAikQheb/z1kFKi6/Fl+97fh95tiItAIUTy9yUajdLW1obT6aSjowMpJTabLdlDWFVVtm7dyuTJk1mwYIGxstQH4zfdYJ/w49tvAeCen3+5bl9SSnqiMdwmlQnpB2bPTYMDHhVoI/5+N04IMU5K+e4eXnM70DfjvCgxNtAxDUIIE5BOvGjEAJiS6WJKpguI/50/U9fCy9vb6YxEGed28D9lozh8gKXigXi/tQurKrCoCnriejY13nnk1gmltIYiPFXbTDCmMT0rjfn5mVhUhSNz0rmhqpi/b22mMxLFJATz8zMNs/o94KWXXkoRgRB/PR555BHmzJnDAw88wLvv7vjze+uttygsLKSmpob29nbC4TB9syd6BZsQAovFkjSI7isEeyODoVCI0tJSvF4viqKgKAoul4tIJILDEV9Nuuyyyzj11FOH+2kYURhC0GCf4PZ8tdZPzcEIuTYLP51chs1I7DX4kgghegs01gO94QQJ7KkQ/BAYK4QoIy74LgQu3umYl4DLgBXA+cDSQzE/MKLp+GIamRbTLqMwj9Y08kL9jiYwm7wB7vxsK/dMq9zlB8CQpvFmcxfrun08U9dMvT+EqohkgYeOxKQIljS0saJjx/vP8vYelrZ08oupFVhUhZMLsjk+P5O2cJQ0swmnaWS9z2i6JKLr2A+Qea9evXrAca/Xy5IlS1JEYC9Lly6lq6sLRVGwWCyEw+GU6B/E28PZ7fbk0q/ZbMZkMmE2m4nFYrhcLsaMGcMPfvADnn76aVavXk0oFMLhcJCXl4fFEveTPOaYY/b+g04gpWTNmjV89NFH2Gw25s+fT2Fh4bDdb29hCEGDAxZfTCPTaubfxx2GxajeM/hqnANUSSn7J4LtAYmcv+uB14hHHP8qpVwvhPg58JGU8iXgEeAJIcQW4sUqF+7NORzoxHSdx2qaeK2pg5Cmk2ezcPGYUSn2MBAvzHh5e3u/8zUpeb6+ldvSywhpGqoQmBPFH/6Yxo9Wb6bWH+8Zu9UXwq9pOFQl5b2iMRjm3bau5Hm9fN7j562WLk4ZnU1I07AqCgV2695+CoaVmK7z+NYmXmvsJKBpjHHauKx8NDOy928BRG/kbSCqq6v7jYXDYTweD9nZ2Xg8HhwOB5qmEY1GgXjkT1XVZGRPURScTieapmGxWBBCUFFRQUlJCffffz+lpaV0dnbS0dFBLBbD6/USDAYxm82Ul5dTUFAwLI9bSsl9992XInSfeeYZbrjhBk466aRhuefewhCCBgck3miMQEzj19PHGiLQYE+oAczsSB3ba0gpXwFe2Wns9j4/h4j7Fh6SLN7SyMuNOwReayjC77/YRppZZWZ2enK8JRgmog8cKF3X7ePHq7ewrseHWREcm5uRyAdsT4pAKSWqIhBa3EfQrIhk5FEVAtMuopDP1DXzXH0rTcEwWRYz5xbnck7x8LdG21s8vKmB1/sU3NT6Q9y1biu/mlbJ+H2URtPT00NXVxejR49ORtxOPPHEAaOClZWVAxZD9S4Fp6WlUV5eTnd3Nx6Ph+3btxMIBLDb7SiKgt/vR9d1nE5nUgharVbGjRvH0UcfzcUXX0xpaSkA5513Hi+++CLLli1LFp44nU5uuOGGYXsuVqxY0S/aKaVk0aJFHH300Qd0cYohBA0OSPwxjV8fPpZ5+YbDv8EeEQA+FUK8SR8xaHQWGV78MY3XmwdOh3yxvi1FCObbrVgU0U8MRjSddb5g0volqkveaumiKRihr7QTQuAyqUjZ24kErEKQYzMzPs1JcACfwI5wlBpfkPKEPUxnJMoj1Y3oEr5ecuCLwa5wlKUtXf3GNSn5d0PbsAvBYDDIgw8+yLJly9B1HbfbzRlnnMFJJ53E3Llzqa6u5sUXX0wu7xYVFfGDH/wAiLuD9F32tdvtqKpKVlYWqqqSmZlJXV0dFouFgoICFEWhurqaWCyG0+lMLh07nU4mT57MokWLGD16dMr8GhsbCYVClJeX4/P5sFqtZGdn88QTTzB//vykaN2b9Lay25lIJMInn3zCcccdt9fvubcwhKDBPmHN9COHfGxQ03CoKvPyDeNogz3mpcSXwT6kMxzdZZSvOZTaJcRpUvna6Bz+3dCWMt4eiZA9gJ3MFx4/xY7UZdxCu5UtWgCXojIpzYnTZEIIuKmqmP+rbqQjHEWTkrZQhJ5ojLZQlDKXrd+1X6hv5ZziXJQDvKK0JRQZsPUewPYB7HAGQ0pJXV0dqqoOuePGgw8+yHvvxX3ZQ6EQGzZs4M0332Ts2LHMmDGD6667jrPOOosNGzaQkZHBxIkT+fTTT1m9ejVTp07l008/TV4rIyODK664grVr1yZbxQUCAWw2G4WFhXR2dqKqatJDsBe/309PTw8bN27sJwTffPNNADIzM8nM3PF/pKenh48++ojZs2d/qedoKAxmTn2gG1cbQtBgn/D0pVcN+dieSIwfThpjlPcb7DG9HUYM9i35NgtOk4p/ACPn8gFMmhdWjMZlUvnP9nZ6ojEqXHbKXXZqfMEBr1/hclAf2CF4Mq1mxgoH7eEo3piGSVFYWD6aY/IyybNZ+fm6Gpa1duPXNEQinrg9GEYCRY4dgrA7GsMf03CbD+x/jYUOK2ZFJDup9GWMs7/A3RXr1q3jD3/4A01NTfFzx4zhe9/7HuXl5bs8p6uri2XLlgFxO5eNGzcSDsdfi5aWFqqrq/npT3/Kn//8Z4499lh0XedXv/oVK1asSLnOqaeeyuGHH8706dOxWq384Q9/4KGHHqKrqyuZH7h58+ZklTDAzrVWoVCI7OzsfnP0+/27nH+vnUwwGOSdd96hpaWFsrIyZs+ejcn01V/3uXPn8sYbb/QbdzgczJgx4ytfd19gJF8ZHFDEdIlJUTiz0PAMNPjqCCHShBD3CCGeEEJcvNO+h/fXvA4VLKrC+QMssZqE4IIBxhUhuHDMKJ48ZjIvzJ3K72dUcewuDKQBzizK4eyi3JQl4kBMQwCeqBbPR9y4jbPe/pT7N9RhEYIcq4VKl4NpmW4yEx6BTcEIkT5RpmyrGdcBUn07GG6zia+N7t8yz6IIzika2ntnV1cXd955Z1IEAtTW1nL77bcnhd2uzuuNzHV3d6cc2yva/H4/S5cuBeCdd97pJwIB3nvvPaZPn47NZiMUCrFixQqqqqqYMWMGQggCgQBNTU34fD4ikUiytVxfKisrmTJlSr9rT5s2bcC5CyGYNm0aDQ0NXHPNNTz00EM8++yz/OY3v+G73/0uHo9nl497dxx++OGcc845KWMWi4Wbb74Zm23o4nx/sEv5K4TwErdZAJJ/bzLxs5RSGr1ZDIbMHT+8Lv793ocGPc4f05iQ5jB6fBrsKY8Cm4HngIVCiPOAixPVw0fv15kdpOxsBH1+ST5pZhNLGtpoD0cZl+bgwtJRjEsbPH/NlKjwPbkgm5ca2mgKhmkORQhqGjZV5YT8TMalORmX5uSsolzWd/tY0+Xl15/XoSX+ZbWGJEFNw2VSmZbpZnswTE8kxoR0J2ZFMNphZbM3gETijWpkW+P3PK84b8SsRHyrYjSZFhOvbG+nKxJjYrqT/ykroHyI3ZeWLl1KKBTqN97T08Py5cuZP3/+gOcVFRXhcrnw+Xz9BKPL5Ur+3NraCjCgCIS4WFyzZg1HHXUUK1euxO/3o2ka1dXVRCIRYrFY0h9QVVWEEDgcjmSnkMrKSn73u98N+Hode+yxvP7666xduzZl/LzzziMvL4/bbruNzs7OlH11dXX8/e9/59prrx1wvkPhyiuv5OSTT07axxx77LEHdJFIL7sUglLKA3/2BiMGyyCfMPvii2kcM0gkwMBgiFRIKc9L/PyiEOI2YKkQ4qz9OamDkWWt3fyzrplaf4gCu5VzinI5rTAerTq5IJuTC/ov3Q2FdIuJKytGc/1HG+kIR1GEwGUS1AVCrOv2MTnDRXMwzMedXv68uYGApmFRFAQQ0nQkENJ1uqMxVCHQkNT6gpgVBW8slohoxKOUo+1Wzi3O5dQBomw7I6XkvdZu3m3tQgKzctKZn5+FquyZgGwKhnm9qYPOSIxJ6U6Oy8sc1DFBCMH5JfmcXzJw15TdsbMQ6ktHx659zy0WCxdeeCGLFy/G6dwh6k0mU0quXm9LuaHkzoVCIaSUbNy4MSkge/MCY7EYaWlpBINBVFVlwoQJnHHGGVxzzTW7jLSZTCbuuOMOli5dyocffojVamXevHnMnDkTn8/XTyD2smzZsj0SggDFxcVDzrU8UBjSgrgQ4lhgbKJdUw7gllJuHd6pGRyKWBTBbEMIGuw5ViGEIqXUAaSUvxRCbCduJO0a/FSDobKirZtffV6b3G4KhvnT5gZiUnLWEJcoB+O1pk7KXHbK+uQV6hL+VtPEMScYKxwAACAASURBVLnpiUpfSWs4QkjTiegSh6qiJyKDUV2iCEGu1UxLKEJTKILbvEOYWFWF/ykbxVU7dRL5osfP8/WtbPOHKHHa+HpxXrIS94GN9bzZx7ZlVYeHle093Da57CtHEz/s6OGe9bXJnL83mzv5z/Z27p5WiZSSN5o7qfEFGWWzcnJBFjm2Pa96nTBhAi+9NHAd1YQJEwY99+yzzyY3N5eXX34Zr9dLOBxm9OjRSWFWWlrKscceC8CcOXN4//33+10jLS2Nww47DIDp06fT09ODz+dL6SQihCAWixGNRrHb7RQVFeF2u/na1742pOXW8ePHM2vWLNLSUhcwezuS7MxIiQbvbXYrBIUQPwNmAFXEl1sswJPA8NlzGxySxHSJQCR7jhoY7AFLgOOBZPa2lPIxIUQz8OB+m9VBxr+2tQ44/ty2Vs4ozNmj6lspJet7fAPuW9fto9obAOK5SjZFIaTpaFISlXo82gcoCLIsprgZde8//0SCk01RqHQ7eLWxgwWlo5K9hT/t9HLHZzXJqtztwTCrOjzcPqUMt8mUIgJ7+aDDw6dd3iG3xOuLLiUPb2roV/hR4wvyxNYmPmjvoT0cTY7/u6GNXxxWvtsl9t0xa9Ysqqqq2LhxY8r4zJkzmTRpUr/jpZR8/PHHrF+/noyMDObNm8fs2bO5/fbbefbZZ3n33XeJxWLMmjWLBQsWJC1aZs2axSmnnMJrr72WvJbNZuPWW29N5vzl5+czefJkNm3ahNlsTi5Z97aP0zQNm82Gy+WitraWyy67jNmzZzN37lzOOOOMfkUeS5Ys4R//+AderzfZz/i6665LXuOwww5LqVzupVe8HmoMJSJ4LnA48AmAlLJRCGEsGxvsdTrCEY7LzxxxLZ4MDjyklD/Yxfh/gbH7eDoHLdv8/XPMIO7L54tppO1B9a0QArfZhCca67dPkzIunET8uDybhYgezwvUdIlZUYjqOkUOKz3RGNv8IXqiMayKgkBQ6rSRazXHI05SUh8IkW6JB4qf2NrUz5pFk5IntzYzKye931x6Wb0LIahLiS8Wz1ccSBjX+IIpQq8vT21tTgrUXgKaxl+2bOe+6eN2OZehoKoqd911Fy+++CIrVqxAVdWksNqZaDTKL37xixSj6CeffJKf/vSnTJ06lUsuuYRLLrlkwPsIIbj++us57bTT+OSTT3C5XBxzzDH9cue+/vWvs2rVKmpra5Pirzfv1GQyUVZWxpYtW/D7/VitVjZv3szmzZtZv349t912W/I6y5cv5y9/+UtyW9M03n77bQBuuSXe8/473/kOt912G21tOyyLKioqdvkYDnaG8lcakVJKIYQEEELsG8tyg4OKD2fNHXR/RzhCjs3Cd8f3d543MDA4MCl2Wtni7W/xkmE27ZXq21MLsnlmW0u/8Xn5maxo39E/uNhpI6zrdEcEdlVhlN1KRNPpjkT5rMuHTVXIMJuIIZFIGoNhcqxmBPGIYn5iqVWXkk2JSOPObPYGOH4Qb1PXANYjLzW08dy2VjojUTItJs4tzuPcnbqXWJVd5wG2hSP9hCDARk8ATzS2R0Ib4pG5Cy+8kAsvHLz74auvvtqvW0goFOKBBx5g8eLFQ1pSLS8vp6ysjDfeeIO77747afjc1dVFMBjksMMOo729HZPJRHp6Opqm4fF4UBSFGTNm4PF4krYwqqoSjUYxm82sXLmSjRs3UlVVBcB//vOfAe//3nvv8a1vfYv09HQKCgpYtGgR77//Pk1NTVRUVHDkkUeiDPJaHMwM5bfoGSHEn4EMIcS3gYXA/w3vtAwONl5YcOku9+mJT/e/OXwshQ5jWdjAYKRwXnE+9/bJEezl3OK8vWLKfNGYfLoiUd5s6USXoAiYl5fJdeOK+O7Hm6kPxCOSqhBUpTnxxzQuLs1nTZeP2kCIqJR4YzqqALtJxReLIYGIrtMTjZFpMXNMbga5CSGoCEGG2UT3AFHIdLOJ4/Iz+dvWJkI7dSsxCcH8nUTiK9vb+b8t25PbXZEYf61uRBUiJX+y2GnbpWdikWPg/seKAPM+zGfr9Q3cmdbWVjZv3sy4cUOLTv7yl7/kySefpLu7m1AoRCAQQFVV3G434XAYq9WKy+XC7/ejqirp6elIKQmFQvh8PqLRKMFgkEAgQEdHB263m4kTJ/LFF18khWB7e/++1RCPDHZ1dZGeHo/qWiwWjj/++K/wbBx87FYISinvE0KcBHiAccDtUsrXh31mBocMXZEYs3LSmZRh5PAbGIwkjs3LIKqX8HRdC9sTUbZzinI5ey/17BUIvlGSj01VqPYGOTzTzTkluVhUldsmj+GX62qTYtCiCM4ak48u4XOPH0ei7Vxv4a03FqPIYaU9FCOkx42uTy7I4tuVhSn3PL0wh7/XNiNlfEnYJASI+LjbbOK2SWXct6GOnoRYdJtUbqgqTorJXl6oHzh/8oX61n6FNLdOKOX2tdUpS8Tz8zPJtJh4vr5t50twdHY69j4R11AoRCwWS7Fv2ZsMFikbLBrY0tLCG2+8gcfjweVysWjRIqLRKLqu4/P50HUdTdOIRCJomkZPTw85OTnJimOTyURDQwMQN68OBAIpHUbC4TArV67kuuuuS95z/PjxKd6Ivbjd7n4dSAziDDWu/BlgJ55m+9nwTcfgYOXu734LgJ/8fnHKuD+m4Y9pRqWwwbAghHAAtwAlUspvCyHGAlVSyoHXjwy+NPNHZTF/VBYRTR/U7uTL0B2JsnhLI682trPB48dtMlHstPK5x8/brV3cm1g9eGhmFV94AnRForzb2sWShnZq/UFaQhHSTCYyLSba+3S0EwimZrqI6ZI/HTmeMQN0ObmgJI+lzZ282tRBRNexKyrnFOeyoDRu0zIty81jsybyWbcPXcKUDFfK424PRXi1sZ1lbd3YVZVcmwVzH2uZ9nCUqK5j7iOuip02/u+oCXzU6aUzHGViupMxLjsRTafOH+LjTm/y2HKXnWsSVc5dXV0sWrSIlStXous6EyZM4KqrrqKysnKvvA69HHPMMaxbt67f+KhRo3Z5r1WrVnHPPfckff+++OILurq6cDqdSYNoiBeE9C7zRqNRWlpaqKioSF6npKSE3/72tzz55JP89re/Tek0AhCLxXjnnXeSZs4XXHABK1euJBhMjbBeeOGFw9Jj+GBgKFXD3wJuB5YST6d4UAjxcynlX4d7cgYHN7qUdEWi/HRyWb+8GQODvcSjwMfArMT2duBfgCEE9zJ7SwTqUvLTNdXU+kNU+4JoUtIdjRLo0Zic4WJ7MMwz21r4dmUhQggmpDt5pq6FZW3xnEGTiM/DE4thUgQuk4ov0equdzn13OLcAUUgwDPbWmkKRZic7iKs61gVhWpfkPdbu5mbWP41KcqAhSGbPQF+urYaf0wjoOl0RKK0hCJMSHdgVRS6IjHsqsKqdg9H56SneA+aFIWjdypGsagKd0ytYJPHT40vSIHdytQMV9L+5Gc/+xlbt+5wctuwYQP/+7//y8MPP0xWVtZXfQn6ceqpp/LJJ5/w4YcfJsecTic333zzgBHBWCzGH//4x6QI7B2LxWL9hBzExaDFYiEcDvezdTnmmGMYO3Zs8phYLJYUkaqq4nA4+OSTT5KFJcXFxdx3333861//YuPGjWRnZ3PGGWdwzDGG0cmuGEpE8PvA4VLKDgAhRDawHDCEoMEe0RGOMiXdxbnFeXtsxmpgsAsqpJQLhBAXAUgpA+JQNQsbIXzc6aHWHyKs6QS1Hb2KI1KnIxwh327lg/aelCXdN/pYuuRYzTQGw0gkXZEY0zJddISj+GM6JxZkcXJBNnPyBi766ApH+PvWJqJSYlEUTMqO5dfn61uTQnBXLK7enuyvXGi3ssUXICp1vugJ4InFiGiSPJuZn62tZlyak7sOqyDLah70mkCyk0pI03ixoY1V7R46Nq3ng1UfIQNx773s7GycTid+v5833niDb3zjG7u9bl86OztZs2YNdrudI444IqWdm8lk4vbbb2ft2rVJ+5i5c+emGEr3ZdOmTXR1daWMpaen09TURDQaxeFwpHj5WSwWhBC4XC6OOOIIsrKysNvtHH/88Xz961+PPwfjxmE2m3G73SlCUAhBWlpaiiAtKSlJVggb7J6hCMEOwNtn25sYMzD4ynRForjNJv53SpkhAg2Gk4gQojetBSFEBTC0NjcG+4WGQPzlGehtIZgo0rDslLPm61PcYVUVKt12an0honE/caZkuPj+xDFMSB9YuEgpebSmkRfr2/iw04NAkG0xM8ZlSxa9rO/2c8+6rfhjGodnuZmU7uTZba2s6fbhNqnMy89kffcOQ+Qsq5lKHFR7AzSFw1gUBbuqENJ1Pu+JV7/+tbqRWyeWDul5iWg6/7ummo2eAFJK1j7+GC2bNmJNXLe5uZmSkhJGjRpFY2Nj6rmRCJ988gnhcJhp06YlCyZ6eeaZZ3jqqafQEsI7PT2d73//+zidTrKyspLRxalTpzJ16tTdzrWviIxGo9TW1tLR0YGUMhnRczgcBAIBzGYzVqsVXdfJy8vjG9/4Bqeffjr5+akdU84880weeOABtm3bltKtJC8vj5NOOmlIz6HBwAzWa/jmxI9bgA+EEP8m/mZ6NjBwfxYDgyES1SV3HTZmj01RDQx2w8+A/wLFQoi/EzfCv3y/zshgUEoSzgFmRSHNZMLTZ3mxt0Bi3k6RuWmZbt5r605uZ1rMCFfcz9BpUil12pD07yTRy78b2nihvg0pwSIUIlKnPRJBDUCp0872QBhPNMby9rgAXdbWTY0vyNg0B3ZVJaTpPF3XQr0/RGmfJecMiylR4aukdDTRkDQGIyxr6+ZmWTKkCut3W7v4qMNDZyRKYPMX9DRsA0ly+VoRUF9fT1ZWFmVlZcnz1q1bxz333IPH4wHi0b3LL7+cs88+G4C1a9fyxBNPpNxr48aNnH322UyaNAlVVZk1axY33njjLiOAO1NZWcno0aNpbGxk9erV9PT0JKN/DocDk8nElClTki3f1q1bh8fjobCwkBdeeIEXX3yRa665htNOOy15zfT0dJ5++mkWLlzI1q1bUVWV3Nxcjj76aK644oohzWtvU1dXx/vvv4+u68yePTslt3EkMVhEsNftsTrx1cu/h286Bgcr7887OfmzlBJdQpUhAg2GGSnl60KIT4Cjiec43ySlHNhfwuCAYHqWm0q3nS3eIGUuOxs9AUJ6vI9wjsXMUdlpnFucWnV7Sdko1nT7kubTneEoNb4g49wOIrrko04vq7t83DGlnGlZ/fshvNLYQUyXtIQihHUdb1TDrAhaghFG2Sw0BcOMdTuQUrItEKLOHyKk6XiiGqPt1mTkUAPCmo41kS8Z0nRiUmJRBRFNEpMSRcQjmv6YNog0hUBMY32PD6uiMDnDxeM1TWzwxCOJvurNRIorIBBEaW8hJnUsQkFKiZSSE088EYhHAu+++2683h2LerFYjMWLFzN+/HiqqqpYunRpyn27urrYtm0bAB6Ph4yMDJYvX44Qgh/96EdDeg2FENx6661ceOGFdHZ2piwBWywWCgsLueKKK7jsssuoqanhpptuIiNjR8GglJI///nPzJw5k9zcHa91eXk5b731Fh999BENDQ2UlJQwffr0/dIa7rnnnuOxxx5Lbj/zzDOcf/75XHbZZft8LnvKLoWglPLOfTkRg4ObV87Zka/SFooyOyedUXuhX6aBwRCwAV3E3+8mJnKT3t3PczLYBUIIfj61gsdqGnm3tZvDs9wU2a0cnZvOUdnpjE1z9Dun0GHjDzPG8WJ9G682tlPrD2FRFIKajluCEHErmKdqmwcUgtsDIT7t8tIdiaET/6Aa1XRCmk5DIIxDjYusxmCYllCEmN7by7g3chjvVlLisJFjNSd9CM2KQrrZTFsoQkDfke8Y1nQcqsJR2WkDRgOf29bCk1ubiSUElFNVWdPtRZeSQEwnPHYyel4hzJyD8sUaTO+8iklARkYGV199dTJyt2rVqhQR2Je33nqLqqqqZDu3Xlpadhh4a31yNJcvX05XVxeZmYPnSfYyZswYurq6UnoHa5pGKBSitbU1eZ+B+hBD3C5m+fLlychlL0IIZs6cycyZM4c0j+GgqamJv/3tb/3Gn332WWbPnp20vxkpDKVqOBf4ATCJ+BsqAFJKw4nRYMhYQ/FS/rDNjo7ktilfvUG7gcFQEULcCywA1gO9LsASMITgAYzbbOKGqhJuqBp6p6F0s4n1PX4Cmk5M6sQk1AWCeGMxKt1x8ThQ15B6f4imYBhfNC4CIZ6fqMl4BfNWXxCdeM9hRQgcJgU10ZpOCAESmoNhciwmnGYTvzq8Ek9UozEYptRp48ert/B2aydhCb3thCVxQbOwItXXbl23j/s+r+O/Te2AINNiotRpozoQpi0UwRvV0JEIdxr0dIGioE86nNI0JwWNNVitVk455ZTk9XYWeX3ptVeZMWNGimF0b1Wvoiikpe2ojJZS0t3dPWQh+M477+DxeBBCpLzXh0IhLBYLRUVFyeuONFauXLnLea9YseLgE4LA34GngTOAa4DLgP4OlwYGg/CzH90AwNX3/olCR7zPp4HBPuAc4r6BRoHIQc57rd1s9gZQiFvIxBKFIp2RKP6YhtOkktPnfaczHOXez2v5rNvHNn+YgKajiHh3ET2RvgLxTw8KAh1JWNOREhyqQoS4YPQkxNm6Hh8Vbge6hAnpzmRhitOkkmezooQiRHQdiPdGrnCn2tc0B8PcsbaGTV5/Qo5KOiNRQjGNqJR4YvH7SAnSYkPJHYVsa8amKLQXlFDa3sAtt9ySYio9bdo0FEVJVtn2ZcaMGQDMmzePt956i7Vr46n/brebUChEUVFRStGH2+2msLCw33V2xerVq0lLSyMUChGNpvZSttlsyZ7Gs2fP5tlnn+13vhCCWbNm9Rs/EBgsiDES29QNZcbZUspHgKiU8h0p5ULAiAYafCUius4V5QVGNNBgX1EDGJ86DgF6K3GFEOTZUl9yb2Kp9szCnOTYrz+v5fMePwIwKQKLosQjdcSNp3v7EAPJKCDEl5gVAWOcdmK6RCfefSTPZiXLYuaOz2qI9RFeDpNKucvO9Cw3R2SlMTs3nXFpDlQhUkyl/9vYQVjX2al7HV3RGIGYnpyXSRGYhMCUnkFmRRXlZWMYO2Uqjz32WD/hlJOTw8UXX9zvuTriiCOYPXs2EC8eufPOO7n55ps57rjjuPjii5k2bVo/H8KLL774SxkyO51OCgsLcTqdWK1WFEVBCIHFYuHGG29MRhvHjh3L+eefn3KuEIKFCxeSl3dg+MsGAgE2btxIR0fcMGX27Nm7FHzHHnvsvpzaXmEoEcFeKd8khDgdaAT2nlOlwSGDTrwn6JE7maYaGOxthBAPEl+BCwCfCiHepI9tjJTyxv01N4Phoa8fX6Hdii6hNRRBR+I2m7iwND/Z2q3eH2J9QjgqIr4EG9Q0dC0utKQEPRESNIv4mFuoWJW4HKtMcxDUdFxmFSSMdTvITNy/NRTh404vR+Wk449p5NnMfNDRg01RElXEcUE5NcOVMueWUHxJNs2ipnRDieoSiyJwqAohLS48EyvSFKQ5KXHZmZ+fidudmvvo9/t59dVX2bBhAxMmTMBkMpGZmcnMmTOZM2dOigWLyWRi/vz5HHXUUSxatAghBA0NDUgpmTlzJtdeey1HHXXUl3o9TjjhBP773/8yfvx4GhsbCQaD2Gw2qqqq+N73vpdy7GWXXcacOXNYvnw5qqoyZ86c5NLx/uaf//wnzz33HKFQCCEEs2fP5qabbuLqq69m0aJFySViIQTf/OY3GTNmzP6d8FdgKELwLiFEOvE2TQ8CacD3Bj/FwCAVSTyx+vLyAgrsAzdSNzDYi3yU+P4x8NJO+0ZeUpLBbjlhVBbPbmshosdz90qcNgodVhyqyqOzJuDus8zZ08d3EKDUaSOo6bSHI+gy3rc4JgUqYkdPXxHPXZyU7mJefiavNrYT0XTybda4IOxDWyjCnzc38PCmBpqD8WVnAaSZVarSnFS6HdxYVZxyTrnLzvtt3WRbzLSZongTtjmSuEWMWQjsqkJQi1dQW1WFHKuFdLOJi8aMSrmW1+vl+uuvp7a2FrvdjtlsRgjBddddx7x583b5HN5///2sWrUKs9mctKDp6urq5zs4FKqqqrjqqqt49NFHk9G/nJwcfvKTn2Ay9Zce5eXllJeXf+n7DCdvvvkmf//735PbUkqWLVuGxWLh5ptvTuZX6rrOrFmzRmwv490KwT49OXuA+cM7HYODkZ5IjKiuk2u19GvwbmAwHEgp/wYghLhJSvlA331CiJv2z6wMhpM8m4XbJpfx0KYGWhPRtQqXnVsmlKaIQIBKtz0hquLrsGZFYUq6i+5olEq3g5mZaXzc5WVpSyeBROWsiqDMZefKytGkmU0sa+tmkydAVJeMdlhJM+/4d7rFG+CfdS00h8Ig4kvLmg42VSXLYubhmePpikR5rbEDiyI4KiedU0Zn83JjOx3hKFVpDtrDUbojUbREvqI5Eam0SIWYlORbTFxePoozinLJtu5Ysg2Hw1x11VW89dZbybZrubm5lJaWsnjxYvx+P9u2bWPUqFGcdNJJZGdnA/FK2FWrVvV7XnVdZ8mSJYwfP/5LvyZnnHEG8+bN47PPPsNutzNlypSUSOSBziuvvDLg+Hvvvce3v/1t8vLyOPfcc/fxrPY+gxlK9y6tDIixtGIwFIKaRk80huvKKylNd8IITKQ1GNFcBjyw09jlA4wZjFCklAQSdizTs9JYfNQEanxBzIpCidM24Dk2VeWSMaNYXN2nA4eIL/HeP30cmVYzUkqWt/Xw9LZmWoMRJmW4OKMwh62+EA9urEeXEquq4InF8Ho0xqc5cJtNzMvLYFWHh/ZwFCkl0YSQUwSENI2QrrNoSwOvbu+gNRzBH9NwmVR+cVgFvz58LE/VNvNRh4fRdislThvL27qp8YXoCEfxxWLJPEazELSGo2RaUkXuX//6V1atWpVcspRS0traiqqqdHZ20tramozQvfDCC/z85z+nqqqKtrZd14D2tZT5srhcrgO26GN3dHZ2Djgei8Xwer39luNHKoNFBD8aZJ+BwW7xxTRCmsa1Y4uo+NqRhgg02GckegtfDJQJIfouDbuBgd/dDUYcL29v59ltLbSHo2RbzZxXnMeZRblUuPt7De7M2cV5FDlsvNrYTk9UY3KGk7MKc5O5fkIIjsnL4Ji8HUbHUV3nN5/XAfHcwgnpTpqDYboiMaK65NqxRRyfn8kF739GTNfxxnT0hMmzBPxRna3eIE9tbaIhECGU8BZsD8OVKz/nhbmH8d3xOyxz/l3fyhvNnQggoGkIwKooWFSBIgTvtnZzWKabkwviUb1IJMKbb7454NJrXV0dFoslZV8gEGDRokX87ne/o7S0FJPJRCwW63duZWXlbp/Pg5GJEyfy7rv9naays7P7tcAbyQxmKN3fLdHA4EvQE4lyQ1UxV1QUQnuimUNOzuAnGRjsHZYDTUAOcH+fcS9Gi8yDgv82trNoc0NyuyMc5S9btiOAM4pyd31iH47ITuOI7LTdH5igPRzFG9thshyMxU2nBXFHhInpTmwmlTKXndWd3qQI1GTCOxBJtS+ITVVQFZKVyCTO//lnNTwzZwq2xPJpRyTKFz0+gpqesJ4BXdOwKGYcidzF91q7k0IwHA4TDofJycmhu3tHyz2I+/dlZmbicKSK5C1bttDZ2UlWVhann346//53avMwp9PJOeecM+Tn6GDiwgsv5OOPP8bv9yfHeotCRtIS9+4YSrGIgcGXJqhpgOC4vIT5aK89wNtv768pGRxCSCnrgDpgZK5JGeyW5+sHXsp8vr51yELwy5JpMWFTFUKaTnckxmZvINnDWIkIbvlkE3cdVsn/jMnnmboWVCGIyB1djlUhEkvEOorOjiITCUFNZ1lrN2e+vYapGS4uKy/gjaZOgpqMVwv38TUM6RqK30t9WwBHh5XguNHY7XbcbjelpaUAjB49mqampuQSsdvtHrAXrhAi6Rd45ZVXkp+fz2uvvUZPTw9TpkzhoosuYtSoUf3OOxQoLi7m/vvv5/nnn2fTpk3k5uZy1llnMW3atP09tb2KIQQN9jqalLSHotwyoZTyISzRGBgYGHwZpJQ0BQf2CG8LR4nqeopH397CpqqcWpDNiw1tNARCyD5p9KPsFiK65MmtTdx1WAWT0p3UJ/oSIyWqInCoKoqIRxJjUqJLiSIEfk0jqkus5vj+Td4AP/50C9XeePQQwJ+IRAog5PFQ09UKgLl6Hd9+4XHuvvtuSkpKuOKKK7jrrrsoKioiPz8fn8+H0+nklFNO4a233ur3mGbMmJHMdRNC4HK5SE9PR1VVcnJyDpo8uK9KYWEhN9xww/6exrAyqBAUQqjAjVLK3+2j+RiMcKSUNAcjnFyQzXklB4YZqIGBwcGFEIISh41tgf4t1EbbrcMiAnu5vHw0upR80ukB4jl7hQ5rsmjj8x4/QghOHJXFI9WNKIJ4pQjxPL8cixmbVaU9HK9s1mXcK9CmKmSYzVgSc5dAaziCWRHYTQomRRCIacTCYXRAEwrmFUtp+vA9tkUifPHFF/zpT39i5syZ/PrXv2bJkiU0NjZSVlbGOeecQ25uLh6Ph48//jj5WEpKSvjOd76T3P7b3/6W0uWjpqaGZcuW8fvf/z4pCNvb2/nkk0+wWq0cddRR2GwDF+QYjBwGFYJSSi2RdG0IQYMh0RPVKHHauPfwSqN7iMF+JfFB9nEp5SX7ey4Ge58Fpfn8ZkPdgOPDiaoIFlYU8npzJ56ohlmIHS1IgAxL/N/qOLcjHpkUCuFEuzsFQVRKpmW4aA6a0IGwFi8ocZlMlLl2tJ1TRTyCGJW9FjcCt9lET1sLZgHp//kHvi/WJRto19fXc/vtt3PvvfcydepUbr755n5zv+OOO9i0aRNbtmwhPz+f4IbTeQAAIABJREFU6dOnJ9+nOzs7efHFF5PHBgIBtm7dyttvv82SJUuYPn06M2bM4LPPPku2rHM6nfzwhz/k8MMP31tPr8F+YChLw8uEEH8k3m84mTEppfxk2GZlMGKJ6Dq3TCgxRKDBfifxQbZUCGGRUkZ2f4bBSGJufiZCwLPbWtnmD1HksHJ+ST7H5WcO+71VRXBKYol4Zyalu/jJp1v4z/b4vgK7hc5IjFiiQwgCYlLy3NzDEAI+aO/hz5sbSDOb+r1vnlqQzbL2broiUSRgEgJ3NERm8zYCmzf0u7eUkqeffhpN03A6nYwbN67fMePGjRtwfNOmTcmK4Ugkwvr16+nu7o5XPEvJhx9+yHvvvcfEiROTOYN+v597772Xxx57zIgMjmCGIgR7syJ/3mdMYvQbNtiJkKZjEoIpGa7+O6+9dt9PyMAg3mt4WcJCpu8H2d/uvykZ7C3m5GUyJ2/4hd9AXFpegDem8XZLF5qM9xs+LNPN+61daICUENJ1QrpOscOKTVXxxzQsiuCnk8sYmxbPn650O2gJRXirpYuIprM9GKY7EsOiCE4cX0K52847LV1EdIndpBDyZ6K98RxfaFrKfNxuN52dnTz11FOsXRsvjC8tLeXHP/4xhYW7N/LPzNzxPLa2tuL3+1Pap0WjUWKxGNu2bSMvLy/Za9fv9/PRRx+NyB67BnGG0lnE6CZiMCS6I/ECkYydDE4BWLBg30/IwACqE18KcQ9BA4O9gllR+O74Ei4tK6AlFGG03coDG7fRK89ybBZaE3mALaEI0zLdZFvNZFnMzOnjTQhwY1Ux6WYTv1pfizemkW5WKXLYeKO5kyOy3Pz5qAls9gbItVqonDmWn3z0FpvXrEZLiEGLxUJubi41NTUp7eDq6ur45S9/yUMPPbTbVZqqqioqKyvZsmULwWAwxU/QarUSDseLcyKRCKFQKMWGpnefwchkt0JQCJEP3A2MllJ+TQgxEZglpXxk2GdnMGLQE58c5+7q03l9ffx7cfHA+w0MhgEp5Z0AQghXYtu3f2dkcLCRZTWTlTCh3uoLJsddJpVSh536QIiYlIR1nSKHjZ9MGoNpp2IWk6KQZ7MwPt3Z7/ofd3q5aIzOSQmvQIDf//73ZGZmsmTJEqxWK1lZWdTW1iKEoKCgIOX8+vp6NmzYwMSJE3f7WL75zW9yzz33oGlaMuJns9lQVRWz2UwkEkn+nJy7ycT06dOH8EwZHKgMZWn4MeBR4LbE9ibi+YKGEDQAeq0cIkzPclNgtwx80De/Gf9u+Aga7EOEEJOBJ4CsxHY7cKmUcv1+nZjBQUVzMMyL9W183uPHE42Rb7PgNpvIt1vItpoJaTq/mFrBkdnpqMrAkbnqPiKy3z5vkKq0HSJRURR+9rOfYbFYeOGFF9i6dStCCCorK5Pt4wA0TcPv97N58+ZBhaCUkgceeIA333wTiHsQ9vT0oOt60jjZbDbjcrnIz89PEYKXXnppyrKywchjKEIwR0r5jBDixwBSypgQQtvdSQaHDp2RGGUuG785fKxRJGJwoPEX4GYp5Vv8f/buPLyuslr8+HftfcbMTdK06UxLoS0tYxlkHmWwgAyKgICK8/RDrxcR5XqV4YIXveJVQUEFrt4rgqKiqLSAgAxCZWzFWigtdMo8neSM+12/P/bJaU5zkoY2ycnwfp6nT3L2uE7aJivvft+1ABE5HrgdOLKYQVkTx+aeBP/6/Hpi2fl/rak0bak088tKqAkHCTjCxXOm846pVYNeZ3pkgF+igWkF9n33u9/lmWeeob6+HlWloaGBtra2XFK2detWtm71eynfeuutPPPMM1x55ZUFk7ZVq1blkkCAiooKli5dyptvvkkikcDzPOrq6rjwwgs54ogjePnll4lEIpxwwgksXLhwSF8na+waSiLYLSI1+AtEEJEjgI4RjcoaNzxVejIeH184K9ej07LGkNLeJBBAVf8sIv2fv1nWbrpnUwOxbLHnqlCQ+WVRtvQk2dyTYHZJmDNm1vL+efW7uAqcUl/N/W810bPTIpA5JREOrs6f3rpu3TpWrlyZey0iTJ06lVdffZVYLEY6nWbzZr/93qxZswgGg6xZs4abb76Z66+/vt+9/1zgSU1paSmLFy/mxhtvpKysjOrq6lwtweOPP36X78caP4aSCH4e+C2wQESeBKYC7xnRqKxxIeUZmpIpVsyq5ahd/LZrWUWyQUSuwX88DPB+/JXEljUs1rTnTzutDYeoCQXJqHLzwfswu3RoZVVqwiG+fsB8blu/mde64giwvKaCTy6c1e9Jy+rVq/ud77ouixcvZu+99+b555+nurqa2tpaqqp2fG9++eWX2bZtW795hIMt9nBdN9e2zpqYhpIIrgWOA/bFL5u5Dn8FnjWJGVUaEin+dclcLt5r17/tWlaRfAj4GvAr/KcaT2S3WdawqAoFaE6m87aJCBHHyRWXHqp9K0r5r0P2pTWZzhWQLqTvit2+XNfl+OOPR0TYsKHw7zsdHR39EsHDDz+cdevW9Tu2urqavffe+229B2v8GUpC97SqZlR1raquUdU08PRIB2aNXW2pNE2JNGfPmjr0Kv7/8i/+H8saBSLSOwJ4qap+VlUPVtVDVPUKVW0ranDWhHJafW3B7UdNrRwwkduV6nBw0HOPPfZYAoH++wOBAMceeyzLli0reF5paSnz58/vt/3MM8/sV2Q6EAjwyU9+suB9rIllwL9hEZkOzASiInIQO5roVACFfx2xJry0MaQ8w51H7seSygKFowdy5pkjF5Rl9XeIiMwAPiQid5PXBAxUtbU4YVkTzakzamhIJPnN5iZSRhHg0JoKPrmPXypLVXmpLcbq1k7CjsPx06YM+XHxQGpqavjCF77ALbfcQjzurzaORqN89rOfpba2lnPPPZcnn3yS5ubmvPMuvfRSQqH+C08ikQg33ngjTzzxBGvWrGHKlCmcfPLJ/UYOrYlJeiuH99shchnwAWA58Bw7vpF2AXeq6q8Guujy5cu10ByG4fSbtxq5bs0bTI+GR/Q+Vr4tPUk+ML+ezy6a8/ZO7H3ssO++wx+UNWmIyN9UdfkQjvss8AlgPrCF/ERQVbX/sMgYMBrfO62R0ZXOsKk7wdRwkGnZn0uqyjdffZPHGncMQgvwqX1mc+qMmgGuNHTxeJwXXngBVeXggw8mGt3Rq7i1tZUHHniAtWvXMmXKFE4//XQOPPDAQa5m7YlYLMaaNWsoKSlh2bJlY66CxmDfOwccEVTVu4C7ROQ8Vf3liEVnjRuNiRQ14SDvnl339k/+2Mf8j7aOoDUKVPU7wHdE5FZVHdb+hiJSjV9LdR6wEXhvocfN2TJbr2RfvqmqZw1nHNbYUh4MsHSn9pp/benMSwLBn6j6w9c2c+QePDruFY1GOfLIwpWQqqurueyyy/bo+tbQ/OY3v+Huu+8mlfI7yUybNo2rr7664GP4sWgocwRniUiF+O4QkedF5J0jHpk1pjQnUlQGA9x95H7M2cPHGpY1WoY7Ccy6CnhYVRcCD2dfFxJX1QOzf2wSWESqHjHzNK3ePcTMU6hmdn3SMHimuXCltZRRVrd0DnpuVzrD003tvNTWlevcZI2M7du3c/fdd/Otb32LBx98kEQiMeRz165dyx133JFLAgEaGhq4/vrrMcaMRLjDbii/jnxIVW8RkVOBGuAS/FIMD41oZNaY0ZpMUxYMcMcRS6i3j+It62zg+OzndwF/Br5YrGCswXnawRbvy6R0U25bUGYx072egFSP6L0HG2kJDNBhBPypT3e/sY2U8RPAukiIL+83j/nldnr+cHvxxRe59tprc4nco48+ym9/+1tuuummvL7NA1m1alXB7Y2Njbz00kscdNBBwxrvSBjKiGDvv9YzgLuzrZnG1sNva8QkPP83mh8evtiOBFqWb5qqbst+vh0YaOl8RERWi8gzIvLuUYrN2kmz+UleEgiQ1s00m5HvkjpQ7/Wo67C8uqLgvr93xLjj9a25JBD8aTnXrXkDz9iRweGkqtx66615o3kAW7Zs4b777hvSNbq7u3dr31gylETwbyLyEH4i+CcRKQfGx3intcc6Uhk+ve9s9iqL7vpgyxqDRGSuiJyc/Tya/R62q3NWiciaAn/O7nuc+qvtBvrpPDc7Ofsi4NsismCAe300mzCubmpqentvztqlmHmi4PZu8xSqI9st9cDqcs7daU51yBH+ZfFcogG34DmrthVe0N6UTPNSe9ewxziZ9W3Dt7PnnntuSNcYaAFOIBAYsIzPWDOUR8OXAwcCG1S1J9tu7oMjG5Y1FsQyHgFHOLV+z1e38ZWv7Pk1LOttEpGPAB8FqoEFwCzgNuCkwc5T1ZMHuWaDiNSr6jYRqQcaB7jGluzHDSLyZ+Ag4PUCx/0Qvycyy5cvt0M+w67wl1QxA+4bTh9cMIOTp1ezurWTiONwdF3VoItEujMDJ6eD7bPevnB44KlOg+3r6+STT+aRRx7pV5D7wgsvHNKj5bFgKIng0dmP+4+15dDWyEl5hq5Uhv86ZB+qh6OH8MkD/ly1rJH0KeAw4K8AqrpeRHZj2Xue3wKXATdmP/5m5wNEZArQo6pJEakFjgK+sYf3tXZDqXNEwVHBUucwREanWPLs0siQawceOKWcpwosMgmIsKzqbdRutXaptraWpUuXsmbNmn77htpPORQKcf3117Ny5Uqef/55otEop5xyyrgq1TOU/wX/2ufzCP431b8BJ45IRFbRtSRTpIzy+cVzOGZa4Tkub9uLL/ofx9F/DmtCSKpqqveXWPF/8u/pMNCNwC9E5HJgE/De7LWXAx9X1Q8Di4EfiIjBn4Jzo6r+fQ/va+2GWudDJPSfZLQhty0gtdQ6lxcxqoGdNL2ahxtaWdfZk7f9wnnTqQoNwy/lVp4rrriCr371q2zZsiW37ZhjjuGss4a+0D8cDrNixQpWrFgxEiGOuF0mgqqa1xJCRGYD3x6xiKyiSXmGpmSK6nCQHxy8L8umDONvn1dc4X+0dQSt0fWYiFyN3yHpFOCTwAN7ckFVbaHAo2VVXQ18OPv5U8D4mCA0wQWkljnu94jp46T0TYIyi3I5DkfG5uK3kOtwwwF7s2p7K6tbOylxXU6eXs2B1buc2mrthmnTpvH973+fF154gaamJhYtWsS8efOKHdao2p1x8c34v+1aE0hzMkVQhMvmz+DT+8zGHaS0gWWNI1fhz3N+BfgY8CBwR1EjskadI2Eq5JRihzFkIdfhjJm1nDGzcB9ja3g5jsMhhxxS7DCKZpeJoIj8NzsepTj4C0eeH8mgrNHTlkyTNIYS1+V/j17KzJKx+VuyZe2mKPBjVb0dQETc7LaeQc+yLMuaJIYyIti38WUG+D9VfXKE4rFGiadKUyLFrJIIH1owg3fUVlIb6d+M3LLGuYeBk4FY9nUUvxh+4b5clmVZk8xQ5gjeNRqBWKOrMZ7i1Bk1fHnpXpQMUM/KsiaAiKr2JoGoakxEbHsGy7KsrAETQRF5hcKr6wS/jur+IxaVNaLaUmnqoiE+v3jO6CWBN9wwOvexrHzdInKwqj4PICKHAPEix2RZljVmDDYiOD7XQVuDak9lSHiGmw+eT014FB8FH2mfxFlFcQVwr4hsxf8ldjpwQXFDsizLGjsGSwSD+D018+YDishR+P01rXGmK50hbQx3vmM/lo52YdKnnvI/2oTQGkWq+pyILAL2zW5ap6rpYsZkWZY1lgyWCH4b+FKB7Z3ZfWcW2GeNMbF0hq6MhyNCdSjAF5fMG/0kEODqq/2Pto6gNfr2BZbgF8Q/WERQ1buLHJNlWdaYMFgiOE1VX9l5o6q+IiLzRiwia9h0pDK4Inx+0RyOqK1kr7Iotk2gNZmIyFeB4/ETwQeB04G/ADYRtCzLwq8LOJCqQfZFhzsQa3j1ZDw60hmuWDSbi/aqZ355iU0CrcnofPwuINtV9YPAAcD46ARvWZY1CgZLBFeLyEd23igiH8bvNWyNQQnPY1s8iSvClUvm8i5bmd6a3OKqaoCMiFQAjcDsIsdkWZY1Zgz2aPgK4H4RuZgdid9yIAScM9KBWW+Pp0pzIoUjwpeWzOPs2VMJOIPl+ZY1KawWkSrgdvzvYzHg6eKGZFmWNXYMmAiqagNwpIicACzNbv69qj4yKpFZQ6KqtKcyxD3D2bOn8vGFs6gbix1Cvv3tYkdgTUKq+snsp7eJyB+BClV9uZgxWZZljSVD6SzyKPDoKMRi7YbGZJq9SiN8ep/ZHF1XNXbnAR54YLEjsCYpETkXOBq/QP5fAJsIWpY1KM/zcN3J0XVrKL2GrTFIVYl7BqPKvy2bz37FKAnzdqxa5X88+eTixmFNKiLyfWBv4P+ymz4mIier6qeKGJZlWWPUo48+yj333MOWLVuYNm0a559/PqeddlqxwxpRNhEch4wq2+JJZpVEuGjedJZUlhY7pF277jr/o00ErdF1IrBYVRVARO4C1hY3JMuyxqLHH3+cb33rW7nXDQ0NfO9738MYwxlnnFHEyEaWXU0wjnjZ+YBb4kkWV5Tym+MO4PK9Z47dx8GWVXyvAXP6vJ6d3WZZlpXn3nvvHXB79nfJCcmOCI4Trck0KWPYv6qMk+urOWl6jU0ALWvXyoFXReTZ7OtD8VcS/xZAVc8qWmSWZY0pb775ZsHtzc3NJBIJotGJWULZJoLjQFc6Q8oYflKMHsGWNb79W7EDGM+6zKN0mpV4xCiRA6hyziUgU4odlmWNiDlz5rBx48Z+22tra4lEIqMf0Cixj4bHKFUlls6wpSdBQISbD15ok0DLevtWA0+o6mPANvyuIk+p6mPZbdYAmr07afC+RVxfIaVv0G5+zWbvC3jaWezQLGtEnH/++QW3n3feeRP6CZwdERyDEp6hNZlmQXmUd8+u44K505geDRc7rD3zgx8UOwJrcnocOEZEpgAPAc8BFwAXFzWqMS6jbXSY3+ReG03g0UFGm2njfmoDlxUxOssaGccddxzGmLxVw+eee+6EXigCNhEsut6OIAq4IgiQMsqVS+ZywbzpxQ5v+Oy7b7EjsCYnUdUeEbkc+L6qfkNEXip2UGNdUv+JkgEgpZtJsw2/DCM0mG9QYg6gxLG1Qa2J54QTTuCEE04gk8kQCEyOFGlyvMsxRlVJGaUrkyGW9jhtRg1HT62iJhxiSihATTjItLHYHWRPPPCA//HMM4sbhzXZiIi8A38E8PLsNjslZhfc7DxATztJs7Xf/u3mJubJXTgywb5PWVbWZEkCwSaCo645kSKjSnkwwLFTp3DctCpOra/FdSbu/AMAvvlN/6NNBK3R9f+ALwH3q+paEZmP7ZS0SxHZh7DsTac+tNMeISB1GI3Ro6spkyOLEp9lWcPHJoKjKOF5hByH/3nHEhaURSf05FPLGgtU9XH8eYK9rzcAny1eRONHvftl4voSGW0GQAgSktm4+IvWlHQxw7OscU1V2bx5M4FAgPr6+qLGYhPBUWJUaUlm+PjCmexdXlLscCzLsgYVkFrq3X9nm3ctiodDCf4sZhBClMjBRY7QssanNWvW8N3vfpctW7YAsHDhQj73uc8xe/bsosRj58qMAlWlMZHi0JoKLl8ws9jhWJZlDUmZHE25cxwupbkkEIRa93JcKS9qbJY1HrW2tvK1r30tlwQCrF+/nmuuuYZ0ujij7HZEcIQlPENrKs2Csij/ceDeE38uoGVZE4aIw3Tny/TIs3TrahyilDsnEJa9ih2aZY1Lq1atIpFI9Nve0tLCM888wzHHHDPqMdlEcATFMh7NiRRfXTafc+fU4UzmOYH/8z/FjsCahERkH+BWYJqqLhWR/YGzVPW6Ioc2bogIpXI4pRxe7FAsa9xraWnZrX0jyT4aHgEtyTTb40kyxnDDgQs4f+60yZ0EAsye7f+xrNF1O/6q4TSAqr4MvK+oEVmWNWktWrRowH37Fqnerk0Eh5FRZVs8SXUoyL8vm899x+zPmbPqih3W2HDPPf4fyxpdJar67E7bMkWJxLKsSe/oo49mwYIF/bYfdthhLF68uAgR2UfDw8ZTZXs8yaE1lXxl6V7MLp24Dap3y623+h8vuKC4cViTTbOILCDbFkNEzsfvOWxZljXqgsEg119/Pb/61a/461//iuu6HHfccZx11llFi8kmgntIVelMe3SmM5xSX80NB+5N0LEDrZY1RnwK+CGwSES2AG9g+wxbllVEpaWlXHLJJVxyySXFDgWwieCQqSpxz9DjeaSMIkBABE+VRRWlnDO7jhUza20SaFljhIg4wHJVPVlESgFHVbuKHZdlWdZYYhPBIWhPpYl7hmmREEdNrWJmSZhpkRDVoSBzSiPMK4sWO0TLsnaiqkZErgR+oardxY7HsixrLLKJ4E4SniGWyeRG/QSoi4S4ZfkCDppSbtvCWdb4skpEvgDcA+SSQVVtLV5IlmVZY4dNBLPSxi/8nMgYjqyr4qAp5blRvwOmlFMZsl+qPXLffcWOwJqcelcnfarPNgXmFyEWy7KsMWdSZzdGlaZkGgFcEc6cOZV3z6pjaVWpHfkbbrW1xY7AmoRU1bbAGEU95mW69UnAoUyOIuosLXZIlmXtwrhOBJuTab8mxAAUf5GHI4IjIIhfODGb4yU8wwFV5Vx/4ALqo2Fb9Hkk3Xmn//EDHyhmFNYkIyKXFtquqnePdiwTXZP3QzrMA7nXHfyOKj2HWvdDRYzKsqxdGbeJ4MHVFXxpv3mDHuMglAQcogGXqOsQcR2irkukz+d1kSAR1x2doCczmwhaxXFon88jwEnA84BNBIdRQtfnJYG92s39lDsnEpZ5ox6TZVlDM24TwdmlET66cFaxw7AsawxT1c/0fS0iVcDPixTOhNVtdm7e0nffXwm780YvmHFKNYPi4Ui42KFYk8y4TQQty7J2Qzdg5w0OMyE44D4lQ0rfJEg9IgMftycy2kyPvoAQoVQOxZHx09nJ025azI/oMo+hpIjKUmrcDxGRhcUOzZokbCJoWdaEJSIPQG4qsQMsAe4tXkQTU7lzDK3mp9Bn1rZiSOkmWryf0mZ+jisVVDsXUem8a1jv3er9glbzM8AA4EgZ050vUeLsP6z3GSnbveuI65rc67iuYav3FWa73yUoU4sY2fiyadMm7r77bl544QVKS0s55ZRTuPDCCwkGR+aXj4lk3CaCjzzyCFdeeSXGmGKHYg3BD9evB+CjBx88avcsLy/noYceIhy2j1omsZv7fJ4BNqnq5mIFM1EFpZ6p7qdo9m5DyQCQ0k24lOOI/2PG006avNtwqabMecew3Ddu1tJq/idvm9EY282NzJM7cSQ0LPcZKQn9Z14S2MtoD53mj5Q4y/G0hbDsa5PCQTQ3N3PVVVcRi8UAaG9v595772Xr1q1cddVVRY5u7Bu3iWBXVxciwsyZM4sdijUEN06fDsDMUVqYk0qlSKVSNgm0zlDVL/bdICI37bzN2nOVzqmUyuF0618x2kOzdzsi/f+/d5jfDVsi2KV/LrjdaBc9upoyOXJY7jNS0rql4HYlRZO5lYCpyW5xqHTOoNb5qC1tVsDvf//7XBLY15NPPsnmzZuZNcuuJxiMbYxrjYqk65IcxdXZPT09LFq0aNTuZ41ZpxTYdvqeXFBE3iMia0XEiMjyQY47TUTWichrIjIphiUCUkWlcyolzkEFk0CADM3Ddj8luVv7xoqQzC24PakbMJros8XQYX5Hl64cncDGmY0bNw64b9OmTaMXyDhlE0FrVJyxcSNnDPKfdbil02nq6+tH7X7W2CIinxCRV4B9ReTlPn/eAF7ew8uvAc4FHh/k/i7wPfykcwlwoYgs2cP7jhtBZuBIecF9Edl32O5TMkAeLgSIykHDdp+REpb5lDj578GQxNBDAP9RsKohoy2kdAvN3l2oeiMaU3d3N88++yyvvPIKqoNV6h07BnsyaJ8a7tq4fTRsjS9Hb90KwIPz5o3K/TKZDEuX2q4Gk9j/An8A/gPoOxrXtad9hlX1VWBXj+gOA15T1Q3ZY38OnA38fU/uPV44EqLauYBm746dtkeZ4rxn2O5TJkfRLvfTaR4GPFypwKWaWvcyAlI1bPcZSdOdq2jlp3Tqw6jGico+oAZHQhhNkeQfGPzRQU9becv7LDPdG3Clcthj+f3vf89PfvITkkl/NHXatGlcffXVzJ8/tjsyvutd7+JPf/oTiUQib/tBBx3EvFH6mTOe2RFBa8LpXUB06qmnFjkSq1hUtUNVN6rqhaq6CYjjL2ktE5E5oxDCTOCtPq83Z7f1IyIfFZHVIrK6qalpFEIbHVXO2Ux3v0hUlhKU6ZQ7xzPLvZmQzB7wnISuZ7v3Dd7MfIbt3n+S0NcGvUeXPkLCvIaLP/roaTdB6qmQM4btfSR0PVszX+X19HlszHyQVu8XqPrfY4ym6DKP02F+T0rf2sWVCnMkTK17OfMD/8uC4P3Mcr9ByPHntKV4M5cEArhUktI3aTY/2fM3tpN169Zx22235ZJAgIaGBq699lo8b2RHIfdUfX09X//619l3X3+0ORQK8c53vtMuFBkiOyJoTTg9PT3MmjWL0tLSYodiFZmInAl8C5gBNAJzgVeB/XZx3ipgeoFdX1bV3wxnjKr6Q+CHAMuXLx/WZ3Ed5k90mN/j0UpEFlPtvI+wLBjOWwyqzDmaMufoIR3bY15km/e1PquON9JtnqLe/VrBUjBG4zSb2xGBANUEqAYgQwOd+hBVsmK3407pVrrMo6R1Cx36B4x2oyRxKCGtjWRopsI5iW3etXjakTuv0jmDqe4ndvu+ACIutc6H2Za5CY+2HdsJExR/ukvMPMk094o9us/OVq1aVXB7c3MzL774Iocccsiw3m+4LV68mJtvvpl4PE4wGCQQsOnNUNmvlDXhdHR0cNFFFxU7DGtsuA44AlilqgeJyAnA+3d1kqqevIf33QL0Hfqald02alq9n2fr6/m69Rl6zAvMCtw8bC3fVD3kPgkmAAAgAElEQVQSrAOECPsisvsPmVrM3bkkMHd9MrSan1LifKPf8XFdi9F4wWv1mNVUObuXCHaaR2j0bgEMCV1Pik0ILg6loCBsBWOImacwdOSd22EeJCJLKXeO2a179ypzjmZ2oI7XM+ejJHGljAB1SO5H9vCXTSu06nYo+8aaaDRa7BDGHfto2JpwHMfh0EMP3fWB1mSQVtUWwBERR1UfBQZc6TuMngMWisheIhIC3gf8dhTuC/ijZW3ml/22K0naza+G5R495kU2eZezJfNFtmSuZJP3YeKmf028vlL6Js3enTR5t9Jt/ppbjKCaIanrC56T0FcLLlpwGLg0lPRp06aaodW7h02Zj7IhcxHbvf8krdsKnudpN03erfQmWhkaAYOSRkn71yNBQv9JeoBHwbEBStq8XRFnH6rd9xKRfQgyo08SCGXO8JfFOeCAAwpud12XZcuWDfv9rLHDjghao+LqI0ennlcqlaKsrGzAb2rWpNMuImXAE8DPRKQRv83cbhORc4D/BqYCvxeRF1X1VBGZAdyhqmeoakZEPg38CXCBH6vq2j17K0OXYgtKAkOCjDahpHCkjAC1JHcx724oMtrONu+6vBItGW1im/k6c+XHuFLW75xO8xCN3nfp7T7SwYOUOocz3fkS4OJIOUa7+p3nSmXBhTkR2Y+A1JHRxn77yuWE3OeN5ha6zJ9zr2P6OHF9idnudwhIdd55cX0Rzc7J02wC2EtJ5VrpeXQiAySiRlMFt++OWufDJHUDGd0xdzQo9dQ4Hxi2e/Q68cQTWbVqFevWrcvb/t73vpfq6uoBzrImApsIWhNKe3s7J5xwgi26avU6G3+hyBXAxUAl8PU9uaCq3g/cX2D7VuCMPq8fBB7ck3vtrgC1eMRI6D/IPUbUFtI0EJU9/yUppn8uWKfPaJyYPk7lTos1PI3R5P2Avi3oALrNX4nJk5Q7x1Ipp9Omv+h3zZ2v1UvEYbp7Fdu86/ByC8GFKuccypwjgN65fo/1O9fTDjrMH6hxL87GnSDFRjKa/6hXCGNI9os7SD0Bpwaj/R+ZljqHF4z37YiZp+nSP6OapEJW4EiEDA2EZC5lcvSIdEwJhUJcf/31rFy5kr/97W9Eo1FOOumkMT830NpzNhG0RsU5r78OwP0LRm6iujEGYwyf+MSeTda2Jg5V7RaRucBCVb1LRErwR+gmNJfKbKKWP5dMSeZGtfZExrST1m2kaUBJ41BKiJm4Upm3eKKXP9JWeKSsW5+hnGOpdi7Eo4susxIlgxCgwnknU5wL+p2jqvTos/ToS1TISbhSjSNhonIAQanLHZfSDeycxPVK4n9PajP30WZ+gdE4qkpKNhFiFqiwY/aUQUlhcAkyh1rnckqcg2jwvgXsWFEblaVUyDuH9DUcSLP3I9rNr3Ove/RvRGQ/ZrrXITKyP7LD4TArVqxgxYrdX2hjjT82EbRGxaENDcDIJoKxWIxFixYxd27hav3W5CMiHwE+ClQDC/BLuNwGnFTMuEZamm24OoUAddlOHgYhTIiZZNi+x9dPsYlUn+o4hhgJ/klEFxGV/vPJBks+e/eJBKhzP0mNczFpthGkvmCtPNUM28z19JjVfba6THM/n5cEAgSk0MJvX5DpxMxfaPHu2hGLCK5WZd+bICiCixDBIQIIYZlNrfshXCknLPPpMg/j0UlUDqBMjnxbyVpKt9CjqxFClMlRGHpoN/0XpSd0LTF9Iu+Rt2UNF5sIWhNGLBbj7LPPLnYY1tjyKfzizn8FUNX1IjtlCxNIQv9Bh/kjabOZNNsJySxCOhvFQwgiIgPObRsqo3HiugaXKjza++xRRAJEnf6F3KNy0IBzAMvluD7XThDTJ0noeoLUUeGcQkBq847v0kd3SgIBPJrM9ymVw3H6LBSJyN5EZD8SO03PFEJUOmfQ5H2/XzwBqcLRUjzaCclcHCpQkhhN4EgJQabjZrumhGQWNe5lA32pBtXi/Q9t5l56RyybuYMyORpQFI8MzRiNIYQIyFR69CXKsYmgNfxsImhNCPF4nIqKCk4/fY/ayFoTT1JVU71zRsUfrhkffbPepk7zMI3eLahm8GglzVbSuo0S2R+HHXPKyp0TB71ORpuJ6dOAoVTe0W+UzX8cnCAsC8nQlJuf50o1IfYqeE1HQkx3rmS7uaFPyRd/Pl9UDiBmniZuXqVDf5NNWv2/rzbzK2YEvka0T3e+bn2m4D2MdhPXlymVQ/tsi1Pn/D9a9ad0m6dQMoRkL2qdDxOSWTslsjsIgiulOJRkt5SSDQmP/slsr7h5hQ79I562E5ElVDkrCo5qxs0a2kz+fEglRbv5LSIBEroeZUdpnLRup1QPG/C+lrUnbCJoTQjt7e1cdtlltoi0tbPHRORqICoipwCfBB4ockzDTjVNi/kxnnaS4B8oKTzSQJwufYwgMwnJTCqdd1ElZw14nQ7zYHZRhz+3sJkfUet+hCrnzNwxAaYihIAUQeryEsXejhiFlDgHMk/uJKZPY+ihRA7GpYy3vCtI6UaSuokMDQgRorIIIYSSoMm7lTmB/+7zXjMY4giRXMLYq7fESkabaTK30m2eA5SI7McM9z8IyjQCMiV3fEQWF+wI4jpTcKkqWCIm6hQupdJh/kiT973c67i+TJc+wiz3m/3a3cX0iYLXcCghpRvzksBeCV2PqtqFcNaws3UErVGRcl1S7sjN0Xddl/337999wJr0rgKagFeAj+Gv4v1KUSMaAUneIG1a6eFFPNqyo1bd+I8ZDUIA0TCVzgpECv8/TOt2mrzbyF9gojR7t5PSHbWwXSml0ik08i5UyTmDxulICRXOSVQ5ZxKSmbSYu0jpRjyNkaEhG2+ClL6ZOyelG0lrI0Z72O59g07zMHF9hbi+SJodpWNcmUJUlqHqscX7Ct3mWXoHfxO6lu3m2rxafABTnPNxpaJfnDXO+6l1Lu93vCNRapz+9ciNJmkxd/bbntFGOgrM+du5cHYvEYcA0/Ie3wsuYfZCiZNiU8HzLGtP2BFBa1T8++F7XlJhIIlEgkAgYGsHWjkiMkdV31S/Kezt2T8TlkMZKV7vM5LUm8xpdszM4EiYNnMvUferBa8R07/Qmzh5xPC0FQUCMoWY+QvV7o7VuzXOhxCidOqDeNpJSOZR47y/YCu4wXR4K0mwBkMPHp3ZeMNkaCOEQbJjFUKQRvMdYuZJXKqyi2AaSelGREKEZAbTnX9FJEDMPENa+zdx8bSTLn2YKnl3bltKN+NSQ4LXQJUSZzm1zuWUOn7JlFlyM+3mt6R1G2HZi0rnLELSv2V0kg0YLVyeskdfpIb8eYSlcgSdPNTvWCFA1NkPx5Rg6AIMDuWIuHgao938CpdqypyjiMjCoX6ZLWtQNhG0xjVjDC0tLVxzzTVUVVXt+gRrsvg1cDCAiPxSVc8rcjwjKkhdrjyLovSfBum/TunGAa/h58x+cpRma257RrfTaR7KSwRFHGrci6nWi7LFqndvAUqCVzH0+NfMPgr2/+z40eTXPfRbuvn3FsLMI6h1eHQSZi/murfhiD+fL03hriFAXkeRmPkL271vAEqQOhBI6+a848OygGnu5+gyj9Jm7qUj8wdCMosq53wq+sy1dCkf8J4u/UccS2Q55c6JdJlH+mwVat2PAEqT3oZLBaqGDC2k9E2UNGIcHEpoN7+k2rmQate20rT2nE0ErVFxwT//CcA9++wzrNeNx+PMmzePc84Z/JGUNen0nUg1v2hRjBJDkrDsQ0abgXR2HFDxSyYKLv68uCAzBrxGmXMEzeaHeUlgr5RuJKH/JCL5/3/3ZBVyUjfgEMqNXfrX8bLdPATBISgzqXM/S1JfI80WVDM4UoFLFY6U4FCCK+W5JBAgPMCCFYCQ7NjXYn5Gb4Ks6uHRjuLR5N2eGxGE3t7D/9Xna/FW9rVS4ZyUve4sIrKEHl1NRltQDK5U4VJJhXNq7lxPO0noegJSxTT3c5TLifTocwhhyp3jCMkcVJWEs55O7yESrMOjHUMPDmXEdS1h2YsAtbSa/6PMOZaQDDwv07KGwiaC1qg4oLkZGP5EsLOzk1NPPXXXB1qTjQ7w+YTkSilRWYwhTkL/kR1l8+ehOZQSYCoAIZnHm5nPkNI3CclMqpzz+iQzc4jIEuL6St61g9TjSAnd5hki7vD9//W0i5DMxtNulASCIJQCQoksp979KiVyMK3mZ2z1vkaazYAgGiZIHWHZB0GIyL55143KAURkMQl9Nf99SD3lcjzgl6npHf3ztIsk63Pz9lK6iRbvHbmyMDuv7u3VZn6R+9r5992fNnMfBr/bSEabKJcTKZV3ANDq/S9t5r5c27qwLKTevZoSJ39Ki4gwzb0Ch1JazI8RDeLRlt2rpPRNXKlGcOjWpwnJe4b+RbesAmwiaI1byWSSTCbDiScOXg7DmpQOEJFO/JHBaPZzsq9VVfs/rxtnVJUuXUmH+ROGLlyqMdqD/xYzKB7gEmQ2IWcmUVlGh/lt7nx/ZOvbgEeF43fDqHBOJG7W4OGXhHGoQjBktAWjiWGNPyL74EolUZbi0YrROCIRAtRQ41xMqbOcVu8e3vI+j18QO4ISR4mTpgGXKsIyn0o5hy7zKDF9EhDK5Gjqna/Spv9Hlz6OkqFMjqDaeT+ORAB/9NGhgow2k+S1bBKo+CORIdrMfURkKSVyQMH5hgBp3YpqBpEAGW2n3dxHVJZgtDvbbaUMQyc9+iyqGVrN/+Wdn9T1bPe+wazANwpeP6UbCVCLIdknEfQXmhhi2UfO9ke4tefsvyJr3GppaeHSSy/l0EMP3fXB1qSiqhO+jVyL+QntZkfL4x59gRSbMCSAAA6hbMITokJW0KUrC16n1dxDuZyCiJ9ENcuduJRiNE6Cf2Zb1Qnt+iscL0KNe+mQYzTaQ0LXA0JE9sklYuCvwK12LqEhcwsZOlBSuOoSdOook+N4I/1+2vWB3AibEEIoAVIoGRytYFbgZlrNT4mZJ3PX7eYZyp3jqXM+T618uF9Mqkq73keKTST4Ox6x7DwCv6VciDmA30+51DmEoNTnzS3sFZTpuS4iPfq33IiiI/klrGL6DJ62oJohTSOGLoQAAaaS4FVSurng411HIqDgEMUQx19IE8x2YnHwk96jhvYXYVmDsImgNW6JCEuWLNn1gZY1wWS0jQ7jl0P06+qlSbENJY4QyLZDyx5LI+36SzKmlUIl6DLamO1BHCEgtdS5n6Yx893sSJmfBIZkDkKQNnMvYVlImfMOUrqZdvMbUvoGQamn0jkrt5JVVWnxfkSD+Q4ZGrPXmMk05wtUu+/rc+9WEvw9t0LW0E3GzGWrfplOXYmSIDePjyTg4FIGQInsT0Zb85JA8Eu5NHl30GH+gEsV5c6x1DgfzHUDaTO/oNX8FFerECJAR3aBjZ88e7T7XT1IAlDlnEeT9928e6gqEWd/usyjRGS/fmVm+hKCpLUluzBmR33ADC2EdO6ABarL5UTa+T0pNgJOdjQ0hRDBpZyp7if7Ffu2rN1hE0FrVHSFQrs+6G2Ix+OUl5dz1FH2N2Jr8knqBowmSbKBNNtR0rlVwzsXhzUk8LSVgNTi0dzvWgGpRQhjNIlHB+VyPE6gkre8T/v7qcoWkPZ16cMEdCpbMl/KJmqQ0HV0mSeod79CqbOcdr2fBvNf2T7H4M9te4vt3k0EZCoVzkkkdD3bvK8BHg4lKIqSppvnUe3MjnwFIPfYtjcZLENwKZcTaDU/I6mvAQ4BanEoJcGrKCkyWoIjUTrNSpK6gVnufwEeHbrj8bj/KDiYrbXo4CdchrRuo1T8Th6VzqmA0mbuJaONCCWotNNlHqKLhwChwjkNR6J9uqbsUC7HEueVvCSwV5rtBHVG/tKmrKgciGrvPM8wShBQQsyk2rmESue0/idZ1m6wiaA1Kv5j+fJhvV48Huewww6jvHzgsg2WNVEFpIYkr5PiTcBk0ySDP6rm5CWDDlEcKaVaLqDJfK/ftSrl3bSYu+jUBzEax5UKohzil1QpwGicVu+nuSRwB48Wc6efCHr3k6Gl37kZGukwv6PCOYl271cY/Np7SjqbKBmULsDDZQoO4WyHFA8/GfTXGJfK0cR4mi59mEx2PmOGZhzKcwlxb+FsTzuJ6VO0ys+olBV42jtd1ACZbNma7uycSs3OFHRyC0sAKp3TqHROw2iKzd7nSGlPn3eldJo/UOmsyI5iJrPbhSnOBUSdpTgmgmi4zz5/f1DqSfEGAQ7s97WK6yuEpJ6AVmPoRDFAAJcISdYV/LuxrN1hE0FrXEqlUnY00Jq0XCrx6CC/C4jQu1CkryAzqJQVVLqngZAb2QpIDVXOuXjaQbv5Ze54Tzvp4uE+CxLylTgH0+r9vGBcKd2Ep12ktZFCi7WVTLbEDblyLSZbOxCc7Mrh3pSvB5cyXMowxP15gUSY7n6RCAfQZL5NgBpSbMl9HTI0IoQRArhaSYJXc49eG80txHgao90k2QJ4mOwoZG+ZHX8eYgAhSkyfolyOzX9/vJnX9aSvtG5jXuBOuvVpDAlKOJBgdu5fQGqJyhK/QwpdCEECUodLee6R9c56+0MLITxi2dHV7MioUeqczxbsimJZb5dNBK1RcemrfimHuxcv3uNr9fbbPOww24Tdmpw8WrO9doMYUvgjZtD7YFgxuJQRlr2ZIhcRYBpt5l4iLGGue0d2TqBft+8N079lmuBkk8DetMznr9I9gw75A5kCq4j9xSkRorI/Cf17bnSul0MJUWc/wJ/nqLkk0B/NVBwElwB1eLSieAhBXIIIAeqd65jqfpDt3s3Z+4UIywJS+kZ2sYaTjXMhGW3Im38nGqGTlWRoQrNFrDV7X39eZWn2cTSEmEmXPko5+YmgagJVxaM1O+Kp2U4nUzESx5UygjqDFnMXzfpDHCmlQk6hnBPo5pl+XUnCMp+wLCj4dxyV/XGlmoSuJUNTfhxkaDTfo979UsFzLevtsImgNSoWtbXt+qAhisfjVFdXM3v27GG7pmWNJ0Fm+it7iSGkUdzsWJqfHJXLCcx1byVNE9vNtXimM3duqXMY050vISJ42jNgazQhwszA9XSalXh0UiL7Uy4n4UiESuc0Wry7+p1T4ZyESJAa9xK6Mquy9fkMgosQISzzmeK8j5S+RUo34lKFoaHPFQxCKQGqEUI4lCCAK9VMdT6Sq+3nEM2uwm3A0IlDGUIJLiW4lCME6eH13FUdSvDTp23ZBRcl2ce0mn2v0ez9ogSpJyDVqPZ9jOsLyz6kZVteBxKPDtI0ENSZNGS+RaeuzC0eMdpNu/6aMqeVaucS2sw9ueQ4JPOY7l4FQNysoV13tLKrcs4hLHsx3b2K183ZeTE4lJLSTTR530U0QI17mV00MoG0t7ezdu1aysvLWbZsGVJohdcws4mgNa6oKi0tLXzmM58Zlf8gljUWORJhivM+Gsx/AuSSQL+LSA1KnCSv0WLu6jMnztflPUGAOmqdy3EoJyB1ZLSx3z0isjcR2adgEekqOZeM00yn+VN2JE4oc46mxrkcAEMXAZlCRqfmauAFqGWGey1hmUebuR+RIBHdD5DsiJfm2uP5r4UIh1Af+AolshSRYO7+pXIEDfznTgsw2nFlH+a4P6BV76bH+xt+995qQjKHpL6VK+bsEITso1ePDhwilEp+GaoSp39ZqjRbso9sd4yUGnpQuojrK3TrU2RoJiRzCDItd17MPMHcwGVUOqeT0H/gSkWuEHbMPM127z9y10vpRmLmSWYGbiAqiymVw0myAcUjo83ZFnr+4/9G8x1i+hfmBe4iILbF5nj385//nHvuuYdMxv/7ra+v55prrhnxQQ+bCFrjSktLC4sWLeI977HV9K3JbUbgGrpSj9HN05AddXOpJizzSdNIi7mHhHkdR/yEx2iKFG/g0UHSe52YPkGN80GqnYuyhaX9VnVp3ZKdv6c0ez+i2rk4r/4f+L2Gp7ofZ4rzPtL6FgGZTlD87iWqSou5E4dSSmRp3nkxfYIyjszNf3MkRESXkGAtHu2QbS8HEKAOJEWH+TWlgYPyrpNiAwGZSko30zs/UAjiECUg1dQ71yAapksf7zNSCn4tvgB9l+n6o4Um7/oR2ZdKOb3f1zyuL/mrk6WEtDZh6MKQxCWKIZat4eh3/whIde5RMyhp3UxEFpHQdXSbZxBcypxj6PAeYuf5lEqKVu9/mRH4GiXOwXimHUOCOC/1idXBkKRHn6PN/IKp7kf7xWuNH8899xw/+9nP8rZt27aNG264ge9///sjOvCxc6UByxqzVJVMJsPVV19NRYWdJG1Z9YEvUi7HUCLLKZHDCMkMEvp3UrqJHvMscV4irQ2oKnFeIc1WDD1+twrtoNG7haDUM929mrDsTVJfR0kTZm8Eod38mm3etQXvndF20rqFoMzMJYEAHi2kdXvBc3rb15XJ0bkkyZEQEZZAtnyLSyUh5uYKO/foCxjNn2vYY14myHRK5ADCsoCw7ENUDsQhTEL/AUCN+4G8R6YBpgMuQjTvWg4Rqp2LqHLeTblzAnXu/2OGe0O/5Nc/tjz7sYSwzMWhFIcw/phsACd3bc0mtr2EANPZ4n2FNnMPKd1EUjfQ7P2ImD42wNfq7wBUOxfiSlX2a7ojYXWIIgiKR6dZVfAa1vjx8MMPF9y+efNm1q0b2VXidkTQGhXN0eiuD9qF7u5u6urqWLZs2TBEZFnjX5kcR4f8kaT+EyVFj24ElCDTcGUKoiGSbCLNdrw+5VwMXaR0CyGZSaf5A9PcfyFDU7YmX764vkxcXyUq/kIvVUOz+QGd5qHcAg2/k8enEQlm5/UFcp02+nKpIqPtxPQxorKMmHkaR8I4EsbVCj+p3KlsjT+/MH/MwpUKUH8UMEBN/31AUOqY7f43XfoIKd1IUGbQY46i2dzOjlHEABFZzFT3U7li2IN/vY+iWe7AaCwXXe/HALX4j7Wbs9ffMYJT7hxPktdI6vqdrujg0YWnXf1WDwdkSvZ9TGe2ewtv6edJ6gYEJ7syekfznJ2/Ptb4091deK7urvYNB5sIWqPiWwcdtOuDdqGzs5P3v//9dm6gZWU5EmKmez0d+gdavZ/hUkmAGgLiJ0dh2Yu4rs31Dvb5nUfSbCWgU8movy+pbwx4n5S+kUsE28wv6DAP9tlr6DKP4FJJrfshHCmhzDmOLtN/hCMk89mUubxPrb8AIZlNpZxDQl+mS//c75xS58hcK7deFXIqMR4vcP15ubl3AK6UUiVn5l5Pcc6j3DueFvMTPDookcOocS8ccOXuzhyJUO/+Gw3eN0hrEy7lZGghzF65EcSILiLNdlyqcaWCCnkn1c7FNJsf97ueZAth+6V68hPBSudduc8DUs30wJXE0k/kWu71vUqlcybW+HbQQQfx4osv9tseiURYPAzVNgZjE0FrXIjFYogIS5cu3fXBljWJOBJhipwDeLR4+StdXSr80ib04NGeHV3bMW/No4OILAIgSP2A9+i7r0P/UPCYTn2IGv2AP3/Q+RiGON3maXp75FbIaXSZR/NKygguKX0LxwlT63yctLeNhO54DBaSedQ6H+l3rxJnf2r5KC3e3bnC1mGZn1uFO5gK90Qq3BN3eVzcrCXNdsKyF2GZn9selcVUyXto0lsRAgSpx6PTb1knDgGpZqZ7A6VyRO6X1oz6Let2dDDZISSzCct8UvoW4CGEqHRWUCln5R0XlSVMkffQrvdna0gqQpgyeQfVznt3+X6sse3000/nscceY8OGDXnbP/CBD1BSUjKi97aJoDUqPrx2LQB37Lff2z43mUzS3t7OVVddxeGHHz7coVnWhFAqh9NC/5IuDkGCsgBP20izNW9fQKpzo0kVzim06/19Hnv6QrIXUdnR+cLTjoL3N9qd64XrSJR690uknUYy2khI5pDQdXR4fn9kQzy7mtjBZQoxfZJy51hmuv9JXF8ixSaCzKJEDh7wCUCVcyYVcjIJXYcr5blRPaOp3FzEEtk/b7XxUHjawVbv6yT1n7ltJc6hTHeuwpEQMfMUzebWbFmbSlwqMSQIyUyqnPMokyNzj3k97abRfJtu81dUk8R5laBMI8j03LUDUsss95sYesjQ6JcGktKCsc0MXEupLqfDewglSbmcyBT3/Lf9Hq2xJxqNctNNN7Fy5UpefPFFysvLeec738mSJUtG/N42EbRGxfyOwj88BmOMoaGhgfLycj7xiU9w3nnnjUBkljUxhGQ2U5z30Wbyu35McS6gW5/BlVIcomS0CSVDQKYy170jV3YkIFOY6V5Hk3c7CV0LuJQ6hzPV+XheMhaV/Yjry/3uH5a9+y2wCErdjgUb2YWxKd1Cmi19jnqLoPqFlkWEEjmQkgIt1wpxJEpJnyS12zxLg/k2RnsLSTuEZDYeXQSoptJ5FxXOyYNes8n8IC8JBOgxz9HGz6lxL6XDPNA/DiJktIkyOQpXynLbG8136DbPZN9biLDOJ6UbEQkRoJqw7E2dewWOhHAIEWDwEjAiQabI+Uxxzh/0OGt8ikQinHnmmZx55ug+6reJoDUmZTIZGhoaeNe73sU111xDKBTa9UmWNcnVuBdT6hxKzPwFMJQ6RxKVJbSbB2jxfpKbP+hIOdOdqwg5M/LOD8sCZgVuxNNuBLfgytka9xK2ZL680yPeADXOpbR7v6PF3I1HCyVyCNOcLxB0/EQwKgdkG7pt2emKStKsJ6OtBKQ6b4+nMZR0buHEYDLaynbvplxchjhx/Tvd+iwlHIAnrTR6t5DRFqrdCwpew2iCmHmq4L4ufYQaLiVN/5qL/rvI4NGGS1kuHv/R+A6ulBNlGSHmUR+4mqAM/Dj+7UjoemLmSQDKnKOGtPDFsnrZRNAak5qbm7ngggu48sor7eIQy3obChWBrnLOpFyOpUdfRAhTIgfn6gsWMtCjSf/6i5gV+Cbt5tek9E1CMpNK5yzaza9p9G7JFW2O6xo6zO9YGFhJyJmJIyFK5EB69ELNpB4AACAASURBVG/0LYMSoAaXKmL6FFWyAoCMttBovkePWQ0oYVnIVPdjeQtBdtalj+Ulp2ndRm/rvQwtucex7fpLqvTsgkmuH7vXbzuQrREIEVlIrEABbkfKCfQpIu2Xj+nfbxlAJTNsSWCL91PazD251+3ml0xx3kuNe8mwXN+a+GwiaI1JIsLxxx9vk0DLGiauVFIux+VeZ7SVTvNHUrxFiLlUOO/sNyI3kLDMY5p7RZ9rtdDs3Z5LAnPbaWGr92/Mc36UPW8vouyPRwuKh0tFrtxLb9Kkqmz1vkpKN+Wuk9T1bPX+jTnu93Mrone289xGw46SG9onuTMaJ8VmIuzd7xr+XMN9+j0a/v/snXmcVMW5v5+q0+vsCwMzzLAICIKIG6BGRVGigisxJComJuaqEY2/RMUYTbwSTcS4JDchJDExNzGJa3Jd4xLMvSZqVDQquIAgi7LNvvRM7+dU/f7o7sM0PQMDzAbUw6c/06eqzjnv6QHmO+9b7/sC5ImjASiVXyCs3szpo1wmv5glrr3UIEVhpzD1djIZ2HtLXG/MEoEZWtSjFMgT8YvRvXIfw/6NKT5k6Be2FBSwpaBg1wtJlYmpqqri6KOP7mOrDIYDk7jeyKfO1TSrh+hQr9Cs/sSnztUk9Kd7dL2IeiedyZpLWL/pvs+Xn0EKH15RhU/UdBKBknxxLABR/U6WCMygdISQWtatDZ33CgII/O57i84F6GW65l/XVFiXI0V23VNLlFEuUx42vxhDtedO8uVxeEQ5ATGBYdb1lMgdegILH+Vyfs71pSikpJf2+GX2H3Y991q3cwZDZ4xH0NAv/HzKlB6t01oTCoVYuHAhHo/562kw9AWNzv05niql22lUv2O4dctuX88SZXTuv9uZziHYoJhIiZxLq3q80wrBEOtrbneSJHXd3idJ1x1LAILyMAr0Cen9keARw3B0ayr03KlYc6GcsdO+vAExgRHWzwmp50myDb84iCJxeifRmurDXGXd1O01MhTLM/FQQZv6KzZNBMQhlMrzey0sLIS1k9mdzRkM2zE/aQ2Dirq6Ok444QTOPPPMXS82GAy7jdY2Ub2iy7mI+jda6t3ekpEvj8LHKBJs3GFG5NTDG2JdSoE8Md1v10OBPBGfqHHnO9fs25FdFX4eJheSL6bToV8FBEKfS1S/h0MTAg+FciZD5BW7fB6vqOi1PXb5cjr5cnqvXGtHCsQJNPEHcgW4oFCe2Cf3NOx/GCFo6BeuWpkqN9GdZ1BrTUtLC1JK7rnnHrM30GDoMywEPjTxnBkp/Hv8b2+053422PNdr53AR744jmHWt3LWBsTBBKyuM1sDYgJ54uh0Usl2PGIYhWLnhaCFkBSKmRQy0x3T2sGmAUnhTpNg9kW8oooK6woanPvYnoAjGWJd1mteR8P+jxGChn6humPHtkjZNDY2UlVVxcKFC02pGIOhDxFCUChPJqReyJkrFDNzT+ghQTmZQ7xv0qaeJqE3kS+mkS+PQ4jd34pead1Ei3qUdp3qRJIvplMmL9ojISeElVXAeX+jWJ5JvjiGDp3q4pIvjnPD7L2JUorVq1fjOA4TJ040W3f2I8x30jDgJBIJbNvmP//zPzniiJ4VkjUYDHtOufwqSb3V7cABEBRTKJdf2avrSuGj1Nr7wu9S+Ci3Lqaci/f6WgcCHjEkq6dyb/PBBx9w991309jYCEBJSQnXXHMN06ZN67N79gaJRIInn3ySV155BaUUxx9/POeddx6BQG7poAMZIwQNA05jYyNnnHGGEYEGQz9hiXyqPT8kpj8ioTfjEyMIiPG7PtFwwBEOh7ntttsIh7eX42ltbWXx4sX86le/YsiQ7jOwBxKtNbfddhvvvvuuO7Zx40befvttFi9ejJSmaEoG80kYBoxMhrDf7+fqq68eaHMMhv0WW7fi6HDOeEBMoEieakSgoVteeeWVLBGYIZFI8H//938DYFHPWLFiRZYIzLBq1SqWL1++y/NjsRiJRGKX6/YHjEfQ0C+sLy4GUuKvvr4eKSW2bePz+ViwYAFVVWZjs8HQ20T1KhqdXxPXawFJvpxOhVzQo5ZtBgOk6rp2R9se9JDvL1avXu2+j8fjOI5DXl6eO3fsscd2ed7GjRv59a9/zcqVKwmHwxx88MFce+21TJjQfVebfR0jBA39wm8OPRSAcEcHpaWl3H333YwePZrCwsJdnGkwGPaEpG5gq30LOt0aDRRh9Tq2rqfG+onJzDf0iCk7qQF7+OGH96Mlu0d5eTnxeJz169fT3p6qmen3+xk1ahRlZV130Glra+Omm26isbGRNWvWEI1G+eCDD1i2bBnXXnstV1111X7578aEhg39Sjgc5rjjjuOwww4zItBg6ENC6oVOInA7cb0+K0nEYNgZEyZMYMaMGTnjRx11FFOnTh0Ai3rG8ccfz8aNG10RCCnP4IYNGzj44K5LFy1btoz29nbWrVtHNBp1x8PhMI8++ih/+9vf+tzugcB4BA39wrXvvINSiptGjGD+/Ny2SwaDoXfZWRcOeyfdOwyGHbnuuus48sgjefnll1FKcdxxx3HaaacNau/Y2rVrqampIZlMEolEAAgGg4waNYpXXnmFiRNz+z1v3bqVWCxGRxflzmKxGH//+985/fTT+9z2/sYIQUO/UB6JkEgmueyyy7r9bcxgMPQefjGWDv7R7ZzB0FOklMyaNYtZs2YNtCk9pqmpifz8fCZPnkw0GqW9vZ3GxkY+/PBD7rnnHjZu3MhZZ53F1KlT8Xq9AIwaNQqlVJfXCwaDWV7C/QkjBA19jtaaRDJJeXk5X/va1wbaHIPhgKBIfJY28RS2bswaz5fTd9rGzWDYH5gwYQJCCLTWKKVYv349kUiERCJBW1sb9957L//93/9NSUkJkydPZubMmcyZM4cRI0awZs2arIzhwsJCioqKBnUofG8wQtDQp4RCIcLhMHl5eVRXVw/qUILBsD9hiQKqrR/RrP5ERL+FwE+hOIVSOW+gTTMY+pzq6mpmzZrFsmXLqK2tpaOjA8dxUErh8XiwbZva2lri8ThtbW10dHTw+uuv853vfIeCggL+53/+ByEE5eXl1NTUUF1dzdy5cwf6sfoEIwQNfUKmTExeXh5Llixh4o03YiSgYX9ACDEPuBWYCEzXWr/VzbqNQDvgALbWut/dCV5RwTDrm/19W4NhUPCNb3yDcePGcd111yGEwLIs1xnhOA6QSiDxeDy0trZiWRbLly9nyZIl3HDDDbzwwgs0NzdzyCGH8NnPfpZgMMi7777LW2+9hd/v5+STT2bEiBED+Yi9ghGChj6hrq6OY445hltuuYWhQ4fCcccNtEkGQ2/xPvA54Fc9WDtT6x1iswaDoV8QQjBnzhyefPJJnnjiCTc0rLXOWWvbNgAfffQRACNHjuSyyy5z57XW3Hvvvbz00kvu2GOPPcaVV17J7Nmz+/ZB+hhTPsbQqyil2Lp1KyUlJSxcuDAlAgHuuCP1Mhj2cbTWq7TWHw20HQaDoWdcfPHFSCndpBCtNVrrrK1KxemmB+Xl5V1eY/ny5VkiMHOdX//614O6sHZPMELQ0GuEw2Fqa2uZOXMmTz75JKNGjRpokwyGgUQDfxNC/FsIcXl3i4QQlwsh3hJCvNXQ0NAnhiT0FrY5d7AueT4b7Pk0Or9B6dwagwZDf6C15tlnn+X666/n6quv5ne/+91OO5jsLSeeeCIXXXQRZWVlCCFQSrkiMJFIIKXE5/MhhOjWu/faa691OZ5MJvn3v//dZ7b3ByY0bOgVWlpakFJyzz33cPLJJ+cuOP/81Ne//KVf7TIY9gQhxItAZRdTN2utn+zhZU7QWm8RQgwFlgkhVmut/7njIq31fcB9AFOnTs2NWe0ljm5ji3Mjjm5NHydo1U+S0JsY7lnU27cbEGzbJhwOU1BQgGVZA22OYRf87Gc/Y9myZe7xJ598wuuvv868efN4++23kVJywgkncMwxx+ScG4vFeOaZZ3jjjTfwer3MmDGD0047DSmz/VrRaJR//vOf1NfXM378eBYvXsxhhx3GokWL3LqC0WiUeDxOc3Mzb7/9Nsceeyx//vOfGTlyJHPmzKGiosK9nsfTvVza2dy+wL5tvWFQEI1GSSaT3Hfffd23HGpq6l+jDIa9QGu91wXTtNZb0l/rhRCPA9OBHCHY17SpF1wR2JmIfpuYXktA7Jt1PePxOI899hhLly5l+fLl5OXlEYlEmD59OgsWLGDevHn4/f6BNtOwA5s3b84SgRn++c9/8vbbbzNs2DAAXnrpJWbPns2CBQvcNbZt873vfS+rj/B7773HBx98wHXXXeeObdy4ke9+97tZIdvx48dz/PHHM3nyZAAaGxtZv349fr8fx3GIRCL861//YtOmTVRVVfHcc8/xgx/8gLFjUzU3Z8yYwQsvvJBjdyAQYNq0aXv5qQwsJjRs2GtaWlq49NJLB3XfSYOhPxFC5AshCjPvgdNIJZn0Owk+6X5Odz83mFm+fDljx47lD3/4AzfccAOxWIxQKEQsFuOGG27ggQceYOzYsbz55psDbaphBzLJGJ0JhUI0NTXldPR47rnnWL9+vXv86quvZonADC+99FLWuiVLluTs21uzZg1vvPEGkMoY3rJlC5Aqlp1IJEgkEoRCId5//31WrlzJxo0bue+++3j++ef50Y9+xL/+9a+cVns+n4/rr7+eYDC4m5/C4MJ4BA17RUNDA3l5ecycOXOgTTEY+gUhxFzgZ0AF8FchxLta69OFEMOB32it5wDDgMfT+5A8wINa6+cHwl4vw7ufE9X9aEnv8Oabb3LmmWdy//33c84552TNeTwezjvvPM477zyeeuop5syZw7PPPrvPe2z2J8rKynLGMqItk8zRmbfeeosxY1IF0D/44INur/v+++8zZswYmpqauhSbkPJGfvLJJ9TV1dHS0uImjWRKyWT2DdbW1tLQ0MAHH3zAO++8g9/vRymFZVnMnz+fYDDIqlWr2Lx5M0uWLGHZsmV88Ytf3Ge7ZhkhaNhjGhoaCAaDPProo1l7KQyG/Rmt9ePA412MbwXmpN+vBwaFi7xYnk6bfhqlw1njATGRoMjttzqYicfjzJ07N0sEtrS08Mwzz7Bq9Spqqmu48MILKS0t5ZxzzuH+++9n7ty5rFu3zoSJBwlHHHEE1dXVrkcOcOv7dfVzJC8vz31fUlLS7XV3Npdh1apV+Hw+2tvbsW07p4xM50ziZDJJMpnkww8/BFJboAKBAB0dHVxxxRW8+uqr7nlvvPEG77zzDnfeeSfjxo3bpR2DDRMaNuwR4XAYIQS/+MUveiYCTz019TIYDP2KRwxhuHU7QZHaGyXwUihPocr63gBbtvs89thjTJo0KcsTePhRh/PlL3+ZO354B1dddRWjx46mtrYWgHPOOYeJEyfy5z//eaBMNuyAEIJbb72ViRO3/xIyfvx4xo8fnxNi9fl8nHjiie7xrFmzuvQalpSUcOyxxwKp8i8TJkzIWRONRnEch4aGBvLz87usJQjbS8tkeg7X19fT2NhIR0cHjY2NvPbaa9zRRSm0RCKxz/49M0LQsEeEQiGuuuoqDjnkkJ6d8L3vpV4Gg6HfCYhxVHvuYIznMcZ4HmWY9S2s1BbGfYqlS5dmJQ8AHD31aC756iU888wznHTqSYRaQjz00EPu/IIFC/j5z3/e36YadkJlZSU/+tGPuO+++/jpT3/Kn/70J2677TYCgYC7Jj8/nxtuuMGt7wcwdOhQvvOd72TV+qupqWHRokX4fD537Oqrr846D2DYsGGUlJQQi8WIRqM7tU8p5WYhO46TJRodx2Ht2rVuOLkza9eu7eEnMLgwoWHDbpOpwH7KKacMsCUGg2F3kCKw60WDFMdxWL58OWeddVbW+OOPbY/SP/jogznnnX322cybNw/HcUxpmUFGVVWV+/6kk05i2rRpvPPOO0gpOfLII7OEYYZp06Zx//338/HHH+P1et39g50ZPXo0S5Ys4a9//SvxeJxJkyYxZswYLrjgApRSJBKJndrl9/vx+/2EQqGsotOQCmMrpWhpaWHIkCFZc5mM530NIwQNu01TUxNf/vKXGT68+03oOWSKdD73XN8YZTAY9ms6OjrIy8vrtmbbr3/zax584EG8Pi8XX3yxO+7xeAgGg3R0dOR4iQyDi7y8PI4//vhdrrMsq8vwL6RCuw8++CBPPfUUkUiEQCCAZVkcc8wxnHfeeaxYsSJH3HVGCEFRURHjx4/n7bffJh6Pu3NSSvLz8xFCuA6Rzpx77rk9eMrBhxGCht0iGo0ihGDu3Lm7e2LfGGQwGA4ICgoKiEQi2LadIwYfeOABLr8s1bzlHy/9I2vfsm3bRKNRCgoK+tVew8DwxBNP8MADD9DQ0EA8HicYDPLwww8TDAa5+uqreeONN3j88ccRQuTsExRC4Pf7ufbaaxk6dCgzZszgl7/8JbZtI4TA6/UihGDs2LGcfvrprFixgkQiQXl5ORdddFGXBbD3BYwQNPSYzD+sm2++mREjRgy0OQaD4QDCsiymT5/OM888w3nnneeOP/TwQ1xyySUA3HrrrcRiMRoaGlwx+PTTTzN9+nQTFj5A+OMf/8j777+f5bGrq6vjkUceYd68edx99900NDTw6quvEovFssRgfn4+AA8++CCxWKoFY0lJifsLSF5eHpWVlRx33HF86Utf4oYbbiAUClFeXr5P//0yySKGXWLbNtu2baO0tJSXXnqJz3/+8wNtksFgOABZsGABS5cuzRq74eYb3Pe33norp5xyCj9Y/AN3bOnSpVx11VX9ZqNh4NBas2LFipywbSKRYNWqVSSTSaqqqvj6179OUVERUkqklFiWRUFBgZstvGHDBpqbm2lubiYUClFVVcW8efOYNm0aXq+X1atXc80113DTTTcB7NMiEIxH0LALbNumrq6O2bNns3DhQrPHxmAwDBjz5s3jxhtv5KmnnnJLyHzvxu/x0ZrsAsKfO+9zADz11FOsWrXK/PJ6gBCJRNyyLzuSSCTczOLx48dTUVFBQ0MDjuMghCASieDz+dBaZwk7rTVbt27lH//4By0tLZSUlBAMBvH5fKxdu5bFixdz77339svz9RVGCBq6RWtNfX09F198Md/4xje6rN/UY3bI9DMYDIbdxe/38/jjjzNnzhy3qHRmb+COPPXUU3zta1/j2WefNcWkDxC8Xi+jRo1i1apVWSFfIQTjxo0jFAqRl5fHz3/+c5qamvD5fG5haaWUuwfecRz8fj+BQIBoNIrWmkgkgt/vp6Ghgfb2dg499FAsy2Lt2rWsX7++y+zlfQUjBA3dEgqFGD16NNdcc023mXo95vrre8cog8FwQDNt2jSeffZZ5s6dy5IlS7jyyis5++yz8Xg82LbN008/zdKlS1m1apVpL3eA4fP5mD17NkopamtriUQiBINBAoEA4XCY+fPn4/F4eO+997Btm/z8fLeuYEY4aq2xbRullJsxvOMvErFYjKamJoYOHQqQ09d4X2PQ7RF8/vnnmTBhAuPGjWPx4sUDbc4BTTgcZubMmXsvAg0Gg6EXmTZtGuvWreOSSy7hrrvuIhAIUFhYSCAQ4K677uIrX/kK69atMyLwAOSKK67g6KOPZvz48RxxxBEMHTqUWCxGYWGqgHo0GqWhoYFYLObuD8y0uMu8IFW3MtNmLhKJkEgksopIh8Oplo1+v5/x48f3/4P2IoPqJ7zjOFx11VUsW7aMmpoapk2bxjnnnMOkSZMG2rQDCq01bW1tJBIJTj755N65aOY6L73UO9czGAwHNH6/n/nz5zN//nwcx6Gjo4OCgoJ9fuO+Ye8oLi7m3nvv5fnnn+exxx7jo48+QilFW1sbZWVleL1eiouLqa+vJxAI4DgOjuOglHJFYFdlZRzHoa2tjaKiIgB3q9RFF13kZhvvqwwqj+Dy5csZN24cY8aMwefzccEFF/Dkk08OtFkHHI2NjZSUlHDPPfcwefLkgTbHYDAYdoplWRQXFxsRaABg48aN3H///dTX1xOJRGhvb+fjjz+mrq4OgEMOOQS/349Syn0BOy00rZRyxWBHRwehUIgZM2bwuc99rl+eqS8ZVB7BLVu2ZNWnq6mp4Y033hhAiw48Wltb8fl8LF261NQKNBgMBsOg5f333+exxx5jw4YNVFZWMnfuXI477jgee+wxtw5gXl6eu4dvy5YtVFRU4Pf7OeOMMxgxYgQPPPAAiUTC9fp1RgjhtpTrPFdYWEg4HObpp59mxowZ+2wh6QyDSggaBhalFO3t7dx3331GBBoMBoNh0LJy5UpuueUWV6C1tLSwatUqvvnNb/LRR9vLCVVVVREKhdwkkEy3kalTp/Laa69RVFSE4zhEIhEcx8kKC2fqDGZKzAAEg0Esy0JrzaZNm3juuef2eSE4qELD1dXVbNq0yT3evHkz1dXVA2jRgUU8HmfEiBFMnz59oE0xGAwGg6FbHnrooRwPHqS6ggwZMsQ9zvQNLiwsxOPxMGbMGBYsWMC7775LMpmkuLgYj8dDUVERwWCQwsJCSktL3SSSzkgpCQQC7nEkEqG+vr7vHrKfGFRCcNq0aaxdu5YNGzaQSCR4+OGH3aKhhr4nHo8zcuTIvrn4F76QehkMBoPBsJd8/PHHXY7X19czc+bMrLHi4mImTpzIwoULue+++1wvIcDQoUMJBoNAytuntcbn83HooYe6+069Xi8+n4/i4mKk3C6bLMvisMMO66Mn7D8GVWjY4/GwZMkSTj/9dBzH4dJLL+XQQw8daLMOGCKRCEcffXTfXHzBgr65rsFgOKDQ2ias38ShjaA4FJ8w21gORIYOHcqnn36aM56fn8+pp55KMpnkoYceIhQK4fF4OOmkk7jyyisBssScx+Nh0qRJNDQ0uO3kpkyZwpYtWzjqqKOYPn06Sil+97vf5dxvxIgR+0XXmkElBAHmzJnDnDlzBtqMA45kMgnA+eef3zc3iERSX/Py+ub6BoNhvyeuN7LNuRVbN7ljRfI0KuTVO834NOx/nHvuufzsZz/LGT/zzDPxeDycddZZnH766dTV1VFcXOzWEQSYNGkSZWVlNDc3AynPXmVlJZWVlVx77bU5HkWlFFJKHnzwQdasWUM4HKasrIxzzz13v+haM+iEoKH/aWpqwnEcvvrVr/ZdL+GMuDd1BA0Gwx5S5/woSwQChNTfCIhJFIlTB8gqw0Bw2mmnEQ6H+fOf/0woFCIYDDJ79mzmz5/vrvF6vdTU1OSc6/F4uO6667j99tuJRqPu+MyZM7usnSul5PLLL+edd95BSonf78fv9/Paa6+xbds2fvzjH+/TjRf2XcsNvUKmhc4jjzzC6NGjB9YYg8Fg6Ia4XkdCb+pyrl29RJE0QvBAY+7cuZx99tk0NTVRUlKyW965KVOm8Nvf/paXX36Z9vZ2jjjiiJ12CHnjjTfYtm2bW1A6w8aNG3nttdc48cQT9/g5BhojBA9wmpqa+PznP29EoMFgGNQoEt3OaeL9aIlhMOHxeBg2bNgenVtQUMDs2bN7tHb9+vWEQiGi0SjBYDBLEK5fv94IQcO+SUNDA2PHjuWaa64ZaFMMBoNhpwQ4GEuU4OjWnLl8aUpeGfqO9vZ2nnjiCVavXu2OFRQUMH78eDweD8OHDx9A6/aeQVU+xtB/JJNJpJQsXbp0n++TaDAYBg6tbWL6IxI6N4OzNxHCQ4W8ErGD/8IvDqZYnNWn9zYc2Nx///1Eo1F8Pp871tHRwaZNmygvL9+nvYFgPIIHJEopamtr+eIXv5hVeLNP+cpX+uc+BoOh3+hQr9KgfoWjWwDwi3EMs67HJ/qmEUCB/Aw+sYR29SI2LQTFYRSIE5HCt+uTB4CoXkVMr8ZDOfni2EFrp6F7tNa8/PLLSCk55JBD+OSTT9wahI7j8IMf/CCryPS+iBGCByANDQ1MnTqVb3/72/13UyMEDYb9irj+hFrnLsDpNPYx25xFjLR+iRB9E3DyiWrKrUv65Nq9hdZJtqk7iKg33TGPKGe4dZupe7iPoZRyy6sFAgEmTJiAbdsA+P3+fT4sDCY0fMCRKa65aNGirKKafU5jY+plMBj2C0Lqb3QWgRmSehtR/W7/GzSIaNVPZolAAFs3Uef8eLevZetmGpxf8Yn9dTbb19Omns/qh2voWyzLYurUqVljHo8Hj8fDtGnT9ov6lcYjeAChlCIUCvGLX/yi/3s4Z6qvmzqCBsN+gUNLt3P2TuYOBDrUy12Ox/VaknobXlHVo+s4OsRm53ps3QBAEog5H5GQn1BhXdFb5hp2waWXXsratWtpbd2eqFRWVsZXv/rVAbSq9zBC8AAiGo0yatQojj322IE2xWAw7OMExCQ66ErwCIJiUr/bM5jQ2DuZy/Widkebes4Vgdnjz1Iqz8cj+mmP9wFOTU0NS5cu5cUXX2TTpk2MHDmSWbNmUVBQMNCm9QpGCB5AtLS0uL0WDQaDYW8oErMIiedJ6E+yx+UZPfZ4DVaUjtKhX033Mz6MgMgtNKx0jIh+B4A8cSRSbE8YyBfHdplF7RU1+ERup4uu0FoTY3U3s4qYXkOBEYL9RmFhIXPnzh1oM/oEIwQPENrb2xk1atR+0SDbYDAMPFIEqLYW06qeJKLfQhKkUM6kUMzqcr3SMWwa8FCOFP3fc1xrRat+kna1DIcO8sQRlMkLc0RrTH/EVmcRSre7YwVyBsPkdW4CTIf6F/Xqv1A61UNdijyGyv9HgfwMACXyc0T0v4nrddvvj6ZMfnEXNjq0qEdo08/h6DYUMTQJLApz1npE+Z59EAbDDhgheIAQDoe5/PLL94uNrQaDYXBgiQLKrfmUM7/bNVprmtWDtOknUTqKwE+xnE25/GqfZRZ3RYNaQkgtc4/b9f8R0W8zwvopHlHm2lrr3JUlAjXQqp4krj8mICYQZDL16hfQKfyrdIQ65y4C4n48ogxL5FNj3U2HfoV29U/CqgPmCgAAIABJREFU+jW0VtQ599CqHmeo9f/wizFd2PgrQuq57QPaJsYagmIiku3i2S8OJiAm9N6HYzigMULwAMBxUntSZs6cOXBGmJC0wdCnaK3RJHdZqy6mP6JN/RVbN+AX4ymRZ/fpXrM2/RQt6uHtdhKnVT2BIEC51b2A7E2Sup6QejFn3NFttKm/Um59CYA4a7B1XdaahN6ATQO2ricpttKsH0QRwy8OylqnsWnX/6BUpMKHQnjIYyoN/AqBh8zv4HG9nq3OLYyyfpMVTnZ0G+2dhGr6IkjtJaJXYFGEVwyjUMximPWtvf1IDAYXIwQPAJqamjj99NOpqhrAfTtf3HlIxGAw7Bla2zSrP9Gmn0fpDvziYMrll8mTR+Ss7VCvUOv8iJSfC6L6fdr136mx7sYrKvvEvlb1dNaxTSu2rmeb830c3U6Z9fk+T3qI6/Vknjl37mP3/Y6JHA4d2GSSNZS7JhXirsAiO1kgEyrO0K5fQumOnHs6uo0O/TJF4rPuWIItWUkmiigxvQqNg6QQPweB9hCUh7oeTIOhNzB1BA8Q5s/vn9+8u2XTptTLYDD0Kg1qKS3qz67giOu1bHMWEdNrs9ZprWhUv2VHQeToNlrUo31mn6231w9NUkdcr8GhFYdW2tRTbHK+RbKLzNjOJPRmOtRrJPQWANrVP9hsX88G+xK2ObfnPOuOeMXQbuc8neYCjMfqJLIc3ea+tyhNfy3OmcuQJ4/KOnZ0U7f33TEb2EsVYLnHSb3NFaYWQaTIQwofLeovKB3t9roGw+5iPIL7OZmw8JgxuftR+pUvpUIvpo6gwdB72LqFkPrfnHGNTat6kkrrencsybYuS5EARPSKPrMxIManPVuKZFrIAUiCCGHh6FZa1eNUWJfnnKt0nDp1N2H1ujtmiRJs3YxI+zHC+g0i6h2qPYsJiIO7tMEvxhAUk4nq97PGBR6K5Znbj4WHofJqap070CQRwgINFkV4GJq+fyEePSRnf2OhPJWgmLjDfbvfx7fjnEeUUiRPcfcxKsKdrNzurdXESLCZAF0/q8GwuxiP4H5Oc3Mzhx9+OH6/f6BNMRgMvUySbXTV3QMgqTdnHafCmF0ni2W8XH1BmZwPWCginUKfAi/bi9rH9Afu+1RnklUoHaNJPZAlArVWtKv/zXk2TYIW9eed2lFp3USBPIGM180raqi0votfjM5aly+nMcpzH2XyS5TJCwlwCF5Gk2Qbcb0RWzfhYyzD5fcpkDMokDOotL7DUPn/cu6ZL6YTEIfkjAfFZPLEUTnjFXIBpfLzSFGAwI+kIO2lzO+0SuLBZAwbeg/jEdyPaWlpwePxcPPNNw+0KQaDoQ/wUY3A02UBY58YmXVsiWLy5TFZwipDkTytz2zMk4dTLX5Ik/N74nodkgBeKrHEdvFpUYqj26h17nbb0wnySLIFTzokC6lEE42NTSM+sp8vrtfs1A5LFFJpfRtHhtFEd7ov0SOGUGZ9IW1bMVudW9zP2KaJQjGaQnkKxWLOTu8phGS4dRst6i+E9b8AQYE4gRI5N6uCQ1SvokO9hCJBgAnk65NQJIiyEi2SWdcskCeYPYKGXsUIwf2URCJBLBbjJz/5CaNGjRpocwwGQx9giWIK5WezS46Q8reVyPNy1g+V11CrI0T1yvQ6D8XyLIrE6X1qZ1BMosZzJ9IOENFv58wXy9nUOncR7RSiVoSJ67VoxmGRh8CLwAtINA4ajejk4fQwrEe2pLxr+btcB6m6fq3qabyMSCVtCB8WxSjaadPPUCp2XZdVisBOS+w0O4/QrP6Yuh9J6vTdWBTgYyxehpDQm1FE8YuDKJAnUSG/3iPbDYaeYoTgfkpzczPz5s3j+OOPH2hTDAZDH1Ihr8BDKW36WRzdRkBMolx+qcs6dZYopNrzA8LqHZrVH0noLYT1m1i6iBLmIkTf/kgYZl1LnXOP25FDijxK5QX4xMgsEQikRZ4kxkoEfgQevAzFohyIZ4lAgBJ5Tq/aausmNjnfIqxfcy3y6CGppBEBYfU6pXLvCvQndT3N6k9Zx5oENs1YDMEjhmDpcsChxlqCX/Zzj3jDAYERgvspQgguuOCCwVNA+rrrBtoCg2G/RAiLMutCyrgQrfUu/807uo169RMc3QxAUodpch4gIT9lmNX9v1Olo6kuF2LP9xNaopjhnu+T1LXYtODnIKQIENUfZq1L6joSbMWmGbARJACBIoKfgymR84jqlWl7SimTF7pdPXqLeue/dtiLqLFpQJKHh2Fp72TXJPQmYvojPAwhKA7v9nsS0f+mcxa3Ynsha4dWPJSkz/VgsxU/Rggaeh8jBPdDWlpaCAaDVFcPov80zj57oC0wGPZ7evKLX5t63hWBnWlX/0h757L/33B0Ow3qF3SofwEOfjGGIfIygnLyHtvpFZV405mwSseIqbUk2IzWigSfoomgSZISSRKNB5nxAAqosm5CY6fFUkWvezJt3UxEv4sgH0EQTapciyJGjA+R+hMEXiLqHfLkke55Wivq1U9oV//njvnECKqsW7ssYSPw5RxrFODk1DQ0LeUMfYURgvsZjuMQj8d58MEH8XgG0bf3o49SXyeYtkgGw0AS5+NuZjRxvS5LCCZ1LevtC9OJGBYehqDRbHVuZaT4WU6f3t3F1i1scW4kqbeChhirSLVu87DdU6aBJJo8BDZxvZZW56+UWOfu9f27QxEFNAIIiDHE9BocQmjiZLJ2tU6w2f4OBdZn0DqJT4xA4MkSgZDyDtY7P6Ha88Oc++SLYxEE0MRcYevQhgBs6olr8HEQQTmpy1C/wdAbmPIx+xnhcJixY8dy8MGDrMbUFVekXgaDoc9QOkZcr++y2HEGb6ekCq1VulzLh+nXCpROAKkQ8if214npD9HYaOIk2UJCr0MTp8V5nKSuQ+uuO3b0hBb1MEm9lSTbSLKFVCmclPBLlbrJeDht10uoSdKgfk2dunuP77srvAx3O61I8gmIyelklSA+RuIXY1FEiLGSZudBovpd2tTT1Dp34OzQSUTj0K5fJuT8A61V1pwl8qm0bkCTpEO/jk0joNGkEkdsmhDCotL6Tp89q8FghOB+hNaatrY2vpQp3mwwGHodIcRdQojVQoiVQojHhRAl3aw7QwjxkRDiYyHEjX1tV7PzMOvs89mQvIR1yQupc37sirrOFMnZqRCk1sRZS4JNKFLiJaT+xjbn+6n/S9Rz2Lo+5/wkjUT1KhrUEj6x/4NPncvTYePdJ6yX49BBQm9Kyx/IFoAZtotNixKkkHSofxLVq7q9ttZJOtRrhNTfs7qb9AQhBEPk5Qg3aJZE4MGiCB+j0yObUSSxaSCmPyKhP8EhQpLtHZRsGojod4nrNdQ6t/GJ8x/EdihzkyeOQOpiBBJBHhYleChF4MXPmFQBa1MuxtCHDKLYoWFvSSaTFBUVceaZZ+56scFg2FOWAd/RWttCiDuB7wDf7rxACGEBPwc+C2wG3hRCPKX1DlkRe0mqwHE9UbWaWvV9HDfZQGA7W0B7Gea5Ouscn6imyrqFbc4P0p5DgUWJW1g5qlcQ0W8TZz2SvJx7KiKAg8VBQCp8XOvcSY24i4AYv1v2C7zYugmNnb6uZrvos0gJwowXzYMkiL9T95CoWkHQyu7mARDTq9nm3N7JMyoplmdiUYJNPX4xjkJxMlIEurUtX05jhPgpbeo5knorjg6nBJrwoLXGpgVFOwIPDm04tKGIp55Db0ARwqElXRg6H0EAWzewzbmd0db9CJFKNgmr5STYkA47pzKlQSKwcGjH0e09SgIyGPYUIwT3I1paWjjbJGUYDH2K1vpvnQ5fB7qqITId+FhrvR5ACPEwcC7QK0LQ0SFqnTvclmkd+hU0DoJAuqyKJkktLeohKvR/5AiePHk4JfpclGojJTqyfxTE9Id4qUSKIB5dls7eJZ3AYCMoxCsqOp2haHYexiPKier3sCiiSJ5BkTxlp8+RL46njWdx2C7YtndK0QiCgEJSgIdSvKIq3SElhSUKc66ptc02546s8LhDiG3OrfgZl856foFW8QTV1mI8XTt0gZTIVUSwRAmF8lRimfqLQqB1PG3j9s82Jd5CJNmaTnZJoEnipdoVcnG9gU+db+ETlQQ5gib1AAk+QaHIZEgLgkj8gENQTDEi0NCnGCG4HyGl5JRTdv4fr8Fg6FUuBR7pYrwaOsUIU17BY3rrpvXqZ64I1CRRxEh5ziSC7e0kk2zDoR1JrufLI0pzslYzWKKEfDGVNvUsPsYgCKb3r0WRFBAUh2WVT1E6QYt+FL84CJtmkrqWZvUn8sRUqq3bCcrDcu6htU1Urexku2sZ4EWgKORkhlvfZ5uzKLWPUG/DIR8vlQi8OLqDJuf3BMQk8sRUhBBE9Ao3KzqTeZzQG9E42DS57fSSegst6mEqrK4LNNc7SwipF7bbi8bLELSwcXQbkiAaLyLdsk6TTHtktSuYwYskkNrrp/04NODQjtZJkqKCVv0USRrS3lCbVLYwaCIIfHjEUMqtL3dpn8HQWxghuB+htaampmagzeia7353oC0wGHqMEOJFSNc3yeZmrfWT6TU3k/rp/acu1u3OvS4HLgcYOXLkLlankjjC6g33WGMjsNAoNAnoJAQF3m770haIk2gSD6B0uNO1HGzqaXb+RIt4hICYkBIxSHyMJE8cnq59l+2hsqlDYGHTQFxvcMfDejmb7Rup9txBnpySdU6Hfpk4a/AyPN2HONNKTWCRj1+MYoj1FTyimKRTS5T3XGEX4328jKTJ+T2pKDwExRSqrP9MZ+AmiOuNOLShcVCE08Jte0kWmyYanF8Q06sIiiMokXPxiBIcHaZFPUyT8zskRW6fX4HApoka6278jGWD/RWi+t/YtLj3SGEh8aNJhdEdbKANTcRdk/pagUMbNvWI9B+NRUoUK3yMYLT1AH5hOkMZ+hYjBPcTtNY4jkNlZVc/uwYBs2YNtAUGQ4/RWu/0L6wQ4ivAWcCpuuu02S3AiE7HNemxru51H3AfwNSpU3eZgrt9L13aFgJICnFoyRoHQZE8HSG6zgm0RD7DrVupc35MUm9Fo0noTXgoR4kwaIiyEp8YwSj5WyyRjxR5NDj30aae3sGmBD5RQywneUOhaKdFPZIjBCPpTiIWhVgUuhnBKfk6HC9VBMQkttm3kWBjp57KAo1Ngo1obIJ6EkJIonolbfoZCplFTH/sJsCkQuUZMTgagITeTJKtCALE9Xpi+mNC6nmGyMto1L8mptams5jBo4fg4yA3PBtWbxGwJlAsT8NRbVg0ktCb088aTXsInfSeP4dMJrRDKG1PHjb1WLo45R0kmd5HWJgW8hqBl2J5On5pRKCh7zFCcD9Aa019fT1FRUX4/f5dnzAQvJtqJM8RRwysHQbDXiKEOAO4AThJax3pZtmbwMFCiINICcALgIt64/4eKvGKSpK6NmUPAn+61p3ASgtDPwFxMFVW9554rTVR/SFKJ1E6nhZkpTn77hJ6EzE+oFCcDMAQeRleMZyQegGHEHnicIJ6ChH977SQyewlVKQSPjzE+Zi4/oQW9RBh9RZJtpLUDWgiSMqR5KMIu+FmSxSQL6cjySOiV6Z7C8fTXrNMQonCoQWHZjwMASCs/oVfHoSHchKE0+sEAi86HbLVJEmyLf1ZlrkhZ0WSkPN3vAzL2vdn04hFsetZlSIIQKE4lQZ+SVyvRxFJh7hFWsym3pMWhaT3baY+mxg2MRzeTM/bKDQWPiTB9PfUDzvpXGIw9CZGCO4HNDc3U15ezr333jvQpnTPN7+Z+vrSSwNqhsHQCywhFX9dlvYSva61/roQYjjwG631nHRG8dXAC6R+2v9Wa/1Bb9xcCEG5/Bq1zmIyiRUeyigQnyFPTEWTICDGUyzP3GnZkSb1O1rV/wAghZ+43kiSLQg9EUsUZK2N6/UUcrJ7/xJxFiXyLHc+qj4g6qwERLrwcpKUEBREeRetDmWzXoiinah+H03CDWVrbCQFeKnGoQVJkGHyW5TI80jwKakagnY3T5HytGWEIECSerxiGFLnY9NEKgFjBDb1QAInLRAtihH4SOiN6TNTYtOmEQ9lZMSbxibJNizKkHgpFDMAqFf/hYdyJHlEWe0WoU4lvGTsTZXCySTjpD4XO31dSUaoZtrnWRQh0iI+IMYBqaLbrerxTkk4p/d6Oz3DgY0Rgvs48Xgc27a59dZbmTgxt4yCwWDoXbTW47oZ3wrM6XT8LPBsX9hQII9lhLiHNvVXkrqBgDiYYnlWlvDTOomtW1OCZ4esU0eHaVPPpNc52DSjCKFJpEVPdkH6XXXwCMpDGaq/yQbn4rRoc0gJIoEiTIL1KN2OEF7XayiQpH4ESRQd+MRI8sRRVFrfJpAuEePTB+EXY9J1BkmfJ9I9P1LZzp0zngvkCa6AskRBVoaxV1dSaJ2ERRHNzkNYopBoljbPiDKw063rUl1YFIoYWitK5RcIqf/FEmVE9SoUbSSpS4tM3emV8gambHPSV98x6i/Sn4GVTuYReKnCK2rwiBKK5Rxs3cpm5zps3eCeFXHepkxfTJn1xZ1+TwyGnmKE4D5Oa2srs2bN4phjei0h0WAw7AP4xViGWtfkjGvt0Kz+SJt+DqXDeEQFZfJCiuRn3TVJtqFJoHSEGB+5iRqKKEm24ddj3CQMS5S6YeGd4RWVBDmSMK+hCJHxCIJMe+HA0sVZ5wg8+DkYAZTJCxkiL8sSrUIIKuWtRJ35JFhHJrtY4Eu/vK43ME8cTbE4EyG85MtjCavXs+2TlVTIBVgin5heTVx/3ClBBVIZvplwbCppJrV30caiDE2UJvVHoqxAiyRR/R4pEdvOdg9gSvxmBF4mK1u73kKLjFiUBNMJLGClv3pEOYXyJMrkRXhEOU3OH7JEYIYW9WiqLuIOnluDYU8wQnAfJhqNYlkWCxcuHGhTDAbDIKFJ/Z5W9bh7bOsG6p2fIsl3Q4qpfXAe4mzMEkOSAlIBzG34qCEoplBhfd3dF7czHEIp8aiTbO8VnBJ1qSQKL1bOvjeBJIAU/lTf3S7q5eVbhzNBvMQ29X1a1VOAxks1XqrIl9Pxi5F4RXX6edYR4BAq5bdp4S+06/9DEydPTKVMXuhmAFdZN1Pr3EVMf4xDc1qQjgQkcdalazKmClp7GIIikU7sSBDmTaQOpMvy+NkueDMCLw+BH008/Xkm0XgB5SbDpPY7pryAKd/hEPxiJKM8/51V1zDazW6CVFb0x+QJs+fasPcYIbgPEwqFuPHGGyktLR1oUwwGwyBA6Tht6rku51rVE64QtEQheeI4OnR2aziBRUAcgp+DGOH52W55nIJiUrosik7Lv06ePXyAwisqcXSju+fPohQp/PjFwQRFbq3BDF45hKHiKjxUEtUr8Igyhoj/IN86mkbnt9Q595IJwfrFGKqs71FmfZEyug6fesQQajx3UqLOZau9KBViTmdXS52PFH4S+hMkxQj8RHi9k2BWaS+gRpFIP2XnQtgWAomklBp5Nx38g5hejcCbzpRWiHSWdObT8VBOmfXlnOLWHlFKTkQ5c5edFMI2GHYHIwT3UZLJJI7jcOyxxw60KT3jhz8caAsMhv0eh1Y0sS7nMpmyGcrFl2jhQWwa0gkbeXhFNRaFCOHZ7bCjJYopEMcS1SvQ6dIt6RkkQfLFNLyiErBJ6M1pL9xYCuQMKnYICe9IVL3HFucmFBEEfpI6wja9iEJ9Gu36hay1cb2eWuduajyLd2lzgfwMo7y/okU9Rlx/jIehlFjnIPCw1bkFAFu3ZXlNU2VsVLryXwCJD4cwOl3/LzNeLr9MmWceZcwjqt4nrN+kQJ9MRC9HEcehGUWUQjGTIdZlBEXuHu8iMZsOXskZD4iJbktAg2FvMUJwH8O2berq6vD7/XzhC19g+PDhA21Sz/iMyXIzGPoaD+VYoghHh3Lm/IwBUv2Jm5zfEdFvpzNVy/CJ6qxOIfni+D26/xDrP2hX/yTJFrdtnKQInxhOhXUZxeJcbBrSSRypfrqZnrvdobXNJuc6onolmX12XobhFTU0qd/iE9U558T0ByT1tl0muQD4xWgqreztNVpr8uQ0IurNtMcvVQZG4E0ngGg0CSReLEpw6ECgAB9BDqNQzqTSusm9XlBOJshk93mi+j10un2cFF13dwHIk1OoYAFN6gGUTonroJjMMMtsBzL0HkYI7mM0NjZy/vnnc+ONN2JZ1kCb03P+lQ5BGUFoMPQZQngolfNodO7fYcaiVH4BWzenPGu6HQAfI4jxEXEdIyAOAcAvDqZMfmGP7u8XYyi2ZuckanjEUArFZxFC4GXobl2zSf2+kwgEcNLFoL04tKCpdNu8dcahAy8Q02uwdT1+MbZHwhBSSSpV8iZC4kXanRdJ6E2pPZDpH5kCL5IiFA7Qlk4qcfBSiSWKGWZd263AE8JDnjiyx89fLGfj5xAa1M+J63XYNNOu/5cS5roJPQbD3mCE4D5EOBxGa82VV165b4lAgJvSvx2bOoIGQ59SIs9DUkCrehKbevyMo0xeQFAeSpPzJ1cEAkiRR1BPwaaJAjmDAnEi+WJ6t91IekKlvMFN1FDEyBfTKJMXuIkau4PWNiH9AgJfulPHdpK6Lh1qzrXVEiV4dBmbnYXE9Or0qKBQnspQ+Y0ePZ8QHorFGRTLM/A5I2lTz2HTiNZJpMhH6gCKOFrEAAsPZa63MKRfpFR8breftyts3cQ29V3Xy5vUW2lyfk9CbmGY9f965R6GAxsjBPcREokEbW1t3HXXXZSVdV8k1mAwGIrkLIpkbpe8JJtzxoSw8DKUPHEUBXLv9xwL4aXMuoAyLtjraymiKB3Fy1ASbMqa0yQoF18hyttul5W0BQyRX6NB/6KTCEyd0a5exCdGUirm5txLa02M1SjdQUBMyhKuFfIqPAwlpJ/HoY2gmIJHDieUrsW4I0ndZTfBPaJNPdNlqL9d/Z0yeQFeMazX7mU4MDFCcB+hoaGB+fPnc8oppwy0KQaDYR/FS023cz4xotu5zmitaNVPEFJ/S7eYm0KZvAifGNlbZrpYohCvqEbrTIePejLFqvPEkVRYl6OI0KaeI8YqPJRSJGfjpTKdSZxLu3qRUrldCNq6kRb1F1rUI2gct7tHuXUxJfI8ICWWdxS3EbWSEF0LQZ8Y3UufQCr5pWs0cb3BCEHDXmOE4D5AJBKhuLiYSy+9dKBNMRgM+zDFcjZt+q9Z4WGAoJhCQIzv0TUa1C8JdSpR06FfJaJXMEReRrv6O3E24KWKUjmXAnnCXttcLr9MrV6MjxF49fB0fb58qj13IoSFRSFlVvaexqTOdPrIRaWLWwN0qNeptRcT5Z10r+BUuz4PI6i178SxYpTJeV3uxcuTUwioicT0qqxxjxhCoei9X9g9Yli3JWRSoXGDYe/Y840ghn5Ba01zczOXXXaZqRdoMBj2Co8oo9r6IXniKEiXOSmSs6mybu7R+bZuIqReyBlPqi1stq8lqleidDtxvYZa505CalnO2rjeSK1zJxvsS9hkf6vLNZ0pkJ9huHU7eXIaPjmKIus0arz3dlluxX1OKvB2kU0MpJ8dlE5Qr/4Lh1ZXBAIk2EKUt4iznlrn+3ziXE7c7UecTZX1nxTLM5GiAIGPAnki1dbiPdoP2R3F8sysNnoZgmKKKSFj6BWMR3CQ09LSwqGHHsq8efMG2pS94yc/GWgLDAYDqXIpwz2L0DoVYt1Z/b4dSQkilTOeYCtdXaVZPUyhmOXeI6E3s8W5AaWjADg0U+/8FFs3UWZ1v6cwT04hjyk9tlMIwRB5GbXO7W7xagBLlFEqU/dJidaOrHlNMp2UohB40TjYup5a5w5GWr/M+awskU+F9XUq+HqPbdtd/GIUVdYtNKrfkNCfIvCQLz9Dhbyyz+5pOLAwQnAQ09raSjQa5fLLL8fr3XmtrUHPEaYVksEwmNiT0iPdhSIVETzkRixsXY8ihEWqx3CL+osrAjvTov5CiTwHKfJ226buyJdHM0L8F23qOZLUEeBgiuUcLJHpd5ypEFhIKjim0CSyrmGJIiCVqRtjNUG690L2JXnySEbKn2Pr5lSP4h60/DMYeooRgoMQx3FobGxESskDDzzA5MmTB9qkvefFF1NfZ+VmMhoMhn0Dn6gmT04lot7KGpcEuhSJUhQi2R4mjeuPu7yuJkaCzQTo2T7Fnts7kgrrii7n8sSUVPFtQvj0cBJsRqc34wl8SPLwUOGuVzpCl27PfsQjTMUIQ+9j9ggOMmzbpra2lpkzZ/KHP/xh/xCBALffnnoZDIZ9mkq5kEJ5irtvzSdGMExehyTXm1cszkSI7f4Gj6jIWZNC4mFIX5jbLUJ4GSqvReDHK4YTYAIeSpEU4WcMATHRLVQtRZCgOLRf7euMo0O0qMdpcH5Bm3oepbtuI2gw7AnGIziIiMVi1NXVcd5557Fo0aLd2rtjMBgMu4PScTQJLFG4W+dJkccw61tUyCtTIeG0l8qnRtKiHsPRLUiRT7E4kzJ5Uda5JeIcIrzFjmmwBfKEAfF25cujGS3up12/7NYPbFK/I67XdlolKJeXIkWg3+0DiOsNbHFuzsr0bhX/Q7W12HgIDb2CEYKDhI6ODlpbW1m4cCHz5s0zItBgMPQJju6gUd1Hh3oZjY1fjGOI/BpBuXvRBykCSLaLoxJ5NsViDg6tqVp8XfQQzpNHMJRv0qz+gK0bEXgokCdRIfsu2WJXWKKYEnGWexwQi2nX/0tUv4ukkCL52R6X1ukLGpxf5ZT7SeptNKs/MtS6ZoCsMuxPGCE4gGRKw9i2TUlJCYsWLeLss/9/e3cfJUdV5nH8+5vXkGGSkAQiQl4ghmgQEiARcCEEUcxmhejyIiBqVnddQGTFw+LbHjabPYuwLHIOgoArHFwOKsqaFYMKAWXBaMJLICEBsyIGIQlJCJlhJmYyyfSzf9w7sdPpnqme6enqmX4+5/Tp6upbVc+t6rr9dFV13bNN++mNAAAWv0lEQVQ8CXTODZjXu74W++4NdtlLbOz6Z8brZhoK3HIlKamWOsb0WGZEzfto1hz2sIUamkt6q5VSqFFD6FqOuWmHQpe10WFr877Xbss5BE8EXf95IpiCN954A4Ddu3dz3HHHceGFF3LiiSfS1FRZDaJzbmjZZb/fJwnsZnTyVuZnjK3927LEIdVQj98MuTfhGkWR747SYpDfScJVDE8Ey6T7VjB1dXU0NTVx0003MXny5OpJ/u64I+0InKt6u21Twfc62VjGSFwSNRpOU80sdmSe3O+9Zs1OISI3FHkiWAZ79uyhra2Nr3zlK0ycOJEpU6YwenSVXeQ7dWraEThX9Rp0RMH3Gin8nkvPwTWX0mkb2G0b9o4bpmn7/RHHub7yRHCAZDIZOjo6aGtrw8y47LLLOP/883ufcKj6yU/C81lnpRuHc1WsQYdxYM2ptGee2Gd8rUYwsuavUorK9aROY5lQeyt/sqfZzSYaOJLhNcl7WXGuN54Illgmk6G1tZXNmzdz9NFHc9pppzF//nymT5+edmjpuvHG8OyJoHOpGlfzBRo4nLfsETLsYLiOZ3TNxX4rkgom1dKkE9MOww1RngiW2JYtWzj22GO5+uqrOfvss9MOxznn9iHVMbr2Ikbjpxadc54IllRHRweNjY3ceuutDBuWzs1HnXPOOeeS8kSwRNra2mhtbeXyyy/3JNA551xie+wN2uwxMraDA3ScXwPoysoTwX4yM7Zu3cru3bu55pprmD9/ftohOeecGyTaM8vY3PUfGHsA2M79HGizGVdzlXcu4MrCE8F+yGQybNq0iVmzZu29NYwr4J570o7AOecqSsY62JL5xt4ksFt75nGadKLfK9CVhSeCRTIzOjs72bFjBy0tLcyePZubbrrJTwf3Zvz4tCNwzrmKstNWkbEded9rt2U044mgG3ieCCbQ2tpKZ2cnELqFGz16NLNmzeKMM87gLL8dSjL33ReeP/rRdONwzrmKUfjUr6gpYxyumnki2IMtW7YAoWeQz372s8ydO5exY8fS0NCQcmSD0G23hWdPBJ1zDoADNIMaHUjG2vd770CdmkJErhp5IljAtm3bGDduHFdeeSWTJ09mwoQJaYfknHNuCKlRA+NqvsDrXddhdO4d31zzfpp0coqRuWriiSDQ3t5Oa2srtbW11NbWIomOjg4WLVrEjBkz0g7POefcENVUM4tJuos2e5yM7WB4zfEM01Fph+WqSFUngplMhm3btlFfX88VV1zBmDFjGDVqFCNHjuSggw7i8MMPTztE55xzQ1ytRjJKfr25S0dVJoK7du1i+/btAJx00klcfvnlTJ06NeWonHPOOefKq+oSwa1bt9LY2Mg555zDBRdcwKRJk9IOqTrcf3/aETjnnHMux5BPBDOZDFu3bgWgpqaG+vp6brvtNqZNm5ZyZFVm7Ni0I3DOOedcjiGbCJoZ7e3ttLS0cMwxx3DRRRcxceJEjjrqKOrqhmy1K9fdd4fnBQvSjMI555xzWYZURmRmvPnmm3R1dZHJZBgxYgRf+9rX+MAHPuDJX9o8EXTOOecqzpDIjsyMt956i507d3L00Ufz8Y9/nOnTpzNmzBjvtNs555xzroBBnQiaGZs3bwagubmZRYsWMXv2bGpqvGse55xzzrneDJpEcM+ePWzatImWlhZaWlpYsmQJW7ZsYe7cuVx77bV+9M8555xzrkgVkwiaGatWrWLbtm20t7fT1tbG9u3befPNN9m+fTsrV66ks7OTmpoaMpkMr776KtOnT+fGG2+kubk57fCdc8455wad1BPBnTt38qtf/YrFixezYsUK6uvr6erqoquri9raWurq6qitraWpqYmRI0funa6rq4t58+Z5EjhY/PSnaUfgnHPOuRypJIIdHR0888wz3HnnnaxduxYzo76+nnHjxlFbW5tGSG6gDR+edgTOOeecyzFgiWBbWxsbN27k9ddfZ9OmTbzyyiv88Y9/ZOPGjWzYsAGAhoYGxowZ48lfNfjmN8PzZZelG4dz/STpBuAsoBP4PfA3ZtaSp9x6oA3oAvaY2cxyxumcc0kMSCK4bt06TjnlFDo6OshkMmFBdXU0NDTQ2NhIY2Pj3n/27tixo0/LaG9vx8xKFrMbYD/4QXj2RNANfkuBL5vZHknXA18Gvlig7Olm9kb5QnPOueIM2BHBE044YUCP9B1xxBEcc8wxAzZ/55zLx8weznq5HDg3rVicc66/BiQRnDp1KnfddddAzNo55yrJp4D7CrxnwMOSDLjDzL6Vr5CkzwCfAZgwYcKABOmcc4Wk/q9h55yrNJIeAd6W562vmtmPY5mvAnuAewvM5hQz2yDpEGCppN+a2eO5hWKC+C2AmTNn+vUuzrmy8kTQOedymNn7e3pf0gLgQ8AZVuBiZTPbEJ+3SFoMvAfYLxF0zrk0aSD+cCGpDVhX8hnvbywwFC7EHir1AK9LJRoq9QCYamap3jxU0lzg68BpZra1QJkmoMbM2uLwUmCRmf28l3lvBV4pdczRUPoc5BqqdRuq9QKvW7lNNLOD870xUIng0+W4VUK5ljPQhko9wOtSiYZKPaAy6iLpJaAR2BZHLTezSyS9Hfi2mc2TdCSwOL5fB3zXzP4thXD3qoR1N1CGat2Gar3A61ZJ/NSwc84VwczeUWD8RmBeHH4ZmF7OuJxzri9q0g7AOeecc86lY6ASwby3SRjEyxloQ6Ue4HWpREOlHjC06lJuQ3ndDdW6DdV6gdetYgzINYLOOeecc67y+alh55xzzrkqVZJEUNJoSUsl/S4+H1Sg3M8ltUhaUsS850paJ+klSV/K836jpPvi+yskTep7TQZWgrp8QdILklZLelTSxDTiTKK3umSVO0eSSarIf1AlqYek8+N2WSvpu+WOMakEn68Jkn4p6dn4GZuXRpy9kXSXpC2S1hR4X5JujvVcLen4csc4WEm6QdJv43pbLGlU2jGViqTz4j6aqdT2phhJ29jBprf9e7CSND62r93fFf+QdkyJmVm/H8C/A1+Kw18Cri9Q7gzgLGBJwvnWAr8HjgQagFXAtJwylwG3x+ELgPtKUadSPxLW5XRgeBy+dDDXJZZrJtxAdzkwM+24+7hNpgDPAgfF14ekHXc/6vIt4NI4PA1Yn3bcBeoyGzgeWFPg/XnAzwABJwEr0o55sDyAM4G6OHx9obZ6MD6AdwFTgccqsb0psi6J2tjB+Oht/x6sD+BQ4Pg43Az832DZZqU6NTwf+E4c/g7w4XyFzOxRoK2I+b4HeMnMXjazTuD7cVmFln0/cIYkFbGMcum1Lmb2SzP7U3y5HDi8zDEmlWS7APwr4cumo5zBFSFJPf4OuNXMtkPoJaLMMSaVpC4GjIjDI4GNZYwvMQvdsL3ZQ5H5wH9ZsBwYJenQ8kQ3uJnZw2a2J76s5DamaGb2opmVoyODckjaxg46CfbvQcnMNpnZyjjcBrwIHJZuVMmUKhEcZ2ab4vDrwLgSzfcw4NWs16+x/4rdWyY2cK3AmBItv5SS1CXbpwlHPSpRr3WJp+vGm9mD5QysSEm2yVHAUZKWSVoee5WoREnqshC4WNJrwE+Bz5UntJIrdl9y+X2Kym1jqp1/xgexeInaccCKdCNJJvENpXvqhD37hZmZJP8rcj9IuhiYCZyWdix9IamG0AXXgpRDKYU6wunhOYSjJ49LOsbMWlKNqm8uBO42sxslnQzcI+ndZpZJOzBXOj211Wb241jmq8Ae4N5yxtZfSermXJokHQj8N/B5M3sr7XiSSJwIWg+dsEvaLOlQM9sUT9GU6vTZBmB81uvD47h8ZV6TVEc45bWNypOkLkh6PyG5Ps3MdpUptmL1Vpdm4N3AY/Es/duABySdbWZPly3K3iXZJq8RrkHbDfxB0v8REsOnyhNiYknq8mlgLoCZ/UbSMEKfmJV6uruQRPtSteqprQaQtAD4EHCGxQuaBove6jaE+Gd8EJJUT0gC7zWzH6UdT1KlOjX8APDJOPxJoFS/zJ4Cpkg6QlID4c8gD/Sw7HOBX1Ro49ZrXSQdB9wBnF3B16JBL3Uxs1YzG2tmk8xsEuFapEpLAiHZ5+t/CEcDkTSWcKr45XIGmVCSuvyR8IctJL0LGAZsLWuUpfEA8In47+GTgNasS1NcD+KlDVcT9sc/9VbepSbJ/uwqSPxvwp3Ai2b29bTjKUqJ/i0zBngU+B3wCDA6jp9J6IS9u9wThC+enYQjLR9MMO95hH/f/J5w+B9gEaEhg/Bl9kPgJeBJ4Mi0/4HTj7o8AmwGnouPB9KOua91ySn7GBX6L74E20SE09wvAM8DF6Qdcz/qMg1YRvgH4nPAmWnHXKAe3wM2AbtjO/Fp4BLgkqxtcmus5/OV+tmqxEdsJ1/NamNuTzumEtbtI/Hzsiu2ow+lHVM/67Pf/jwUHvn277RjKlG9TiH8IW911v41L+24kjy8ZxHnnHPOuSrlPYs455xzzlUpTwSdc84556qUJ4LOOeecc1XKE0HnnHPOuSrliaBzzjnnXJXyRLAfJI2R9Fx8vC5pQxxukfRCiZf1dkn3x+E5kpbE4YWSrirlsvIs+8OSpmW9XiDp7QO5zB5iOU/Si5J+GV9/T9JqSVdKWhRvyF1o2pmSbu7Hsr/S12nzzGt9vC+hc1VHUldW2/lc7JKr2HmMknRZ6aOrHJKuiO1dn3qAkTRJ0kVZrxdIuqUf8Zwnaa2kjKSZvZTtcfv0p2659XL944lgP5jZNjObYWYzgNuBm+LwDKCk3XaZ2UYzO7eU8yzChwn3oOu2AEglESTcU+7vzOx0SW8DZpnZsWZ2k5ldY2aPFJrQzJ42syv6seySJYLOVbmd3W1nfKzvwzxGAUUngpJq+7CstFwGfMDMPpakcOxdK9skoJQJ0xrgr4HHE5TtbfsUVbcck+hDvQbZti8bTwQHTq2k/4y/nh6WdACApMmSfi7pGUlPSHpn7oSSTsv6pfyspOb4C2hNgWVNk/SYpJclXZE1ny9IWhMfn4/j9pmPpKskLSwUm6T3AmcDN8R4vki4Ufi98fUBkk6Q9L9xuocUuhnMrdM4SYslrYqP9xaKMY6/WNKTcRl3SKqVdA3hpp13SroBeBg4LJY5VdLdks6N08+S9Ou4rCfjOsw+ktok6a743rOS5sfxCyT9KK6H30n69zj+OuCAuKx7c+p2SYyHrHncEof/J66XtZI+k2e9FLU94vjz4vpaJSlJg+xcxYv7+A2SnlI4yv/3cfyBkh6VtFLS8937KnAdMDnukzdk799xulsUutPrPgJ/vaSVwHn9aIfnSHpc0oOS1km6XaFvdSTdJunpuK//S9Z88rVFeeuas/zbgSOBnymc8Rgd25PVkpZLOjaWWyjpHknLgHtyZnMdcGqsw5Vx3Ntz27c4nzMl/Sau5x8q9Jm7DzN70czW5Yn16Kz2erWkKbnbp5e6FWqPJ8XtszI+3puvXso50ilpiaQ5cbhd0o2SVgEnK8H3VdVJ+47WQ+UBLASuisOTCB26z4ivfwBcHIcfBabE4RMJXeLlzusnwF/E4QMJfUJPAtbEcXOAJVnL/TXQSOg3dhtQD5xA6HWhKc5jLXBc9nzi9FcBC3uKDbgbODdrmseIvTnEZf0aODi+/ihwV5463UfohBugltAndKEY3xXXQX0s/03gE3mWnVuXuwndDDYQuoGbFcePiOswe71dm7VNRhHu4N9EONr5coxvGPAKMD6Way+w7Q8GXsp6/TPglDjc3cvOAYRf02Pi6/Vxe/VlezwPHNYde9qffX/4o9gH0MWfe19YHMd9BvinONwIPA0cEffdEXH8WELvKMqz7+zdv+PrW4AFcXg9cHXWe31th+cAHYQkphZYSmwbs/b12thOHdtDW5S3rnliWA+MjcPfAP45Dr8PeC4OLwSeAQ7IM33uOllAnvYtrtfHgaZY7ovANT1sv8fI6tEnxvaxONxAaO/22T691K1QezwcGBbHTwGe7qFet2S9XgLMicMGnB+HE31fVdsj9zCyK50/mNlzcfgZYFL8hfVe4IeSuss15pl2GfD1eOTpR2b2Wlb5fB40s13ALklbgHGEI2eLzWwHgKQfAadSoL/KImLLNRV4N7A0TldL6D4o1/uATwCYWRfQKqlQjBlCkvhUnOcBQDF9L08FNpnZU3F5b8X5Z5c5Ezhbf76+chgwIQ4/amatcZoXgImEbrnyMrOtCkdjTyJ0s/hOwjYEuELSR+LweEJjtq23CvSyPZYBd0v6ATBoOjZ3LstOC5fRZDsTOFbxqD4hWZlC6IbsWkmzCW3DYYQ2rlj3QVFtXaF2+EkzeznO63uEtvZ+4HyFo/51wKGEy2mM/G1Robr+oYf4TwHOifP5hcI16iPiew+Y2c6E6yFf+zYqxrss1rEB+E3C+RHLflXS4YR19btevrNyFWqPNwK3SJpB+PFwVDEzjbqA/47DSb+vqoonggNnV9ZwFyGZqQFa8jSA+zCz6yQ9SOhrcpmkDxJ+hSZdVk/bdQ/7XhIwLD4nii0PAWvN7OQip+ttnt8xsy+XcJ75lnGO5ZzmkHQixa3Pbt8Hzgd+S0huLZ6aeD9wspn9SdJj/Hl9dyt6e5jZJTHOvwKekXSCmfWaXDpX4QR8zswe2mdkOL17MHCCme2WtJ799yMovC912xGf+9MOQ0ju9ikq6QjC0fxZZrZd0t0FYtxbLfLUtR929F5kr3ztm4ClZnZhXxZuZt+VtILQJv00nup+uYhZFGqPFxL6jZ5O2G6Fvgd72vYd8eBD93JK/X016Pk1gmUUfw3+QdJ5AAqm55aTNNnMnjez64GnCEeYivUE8GFJwyU1ETpkf4KwUx0Sf002Ah9KEFsb0Jw17+zX64CDJZ0cp6uXdHSeeB4FLo1laiWN7CHGR4FzJR0Sy4+WNLGIuq8DDpU0K07frP0von4I+Jziz0JJxyWY725J9QXeWwzMBy4kJIUQfuVvj0ngO4GT8kxX9PaIn48VZnYNsJVwpNG5we4h4NLufUzSUbFdGAlsiUng6YQjWLB/u/QK4XrpRkmjgDPyLaQE7fB7JB2hcG3gR4FfEU757iCc6RgH/GUsW6gtKlTXnjwBfCyWnwO80X2EsQe566iQ5cBfSHpHnH+TpMRH3yQdCbxsZjcDPyacFk+6bCjcHo8kHFHNAB8nHMEjz7zXAzMk1UgaD7ynwHKSfl9VFU8Ey+9jwKcVLlxdS0gecn1e4c8Aq4HdhGvOimJmKwnXzD0JrAC+bWbPmtluYFEcv5RwBKu32L4P/KPCRbyT43xvl/QcYcc8F7g+Tvcc4bRLrn8ATpf0POFU+bQeYnwB+Cfg4bgOlhJOtSSteyehgf5GjGkp+/86/1fC9SKrJa2Nr3vzrVh+v9sdmNl24EVgopk9GUf/HKiT9CLh4ubleabry/a4QeGi+TWE611WJYjduUr3beAFYGX8bN9BOFp1LzAzth2fIO4j8Sj4sthW3mBmrxKux14Tn5/tYVn9aYefIlx/+CLhVO5iM1sVl/db4LvES0N6aIsK1bUnC4ETYjzXAZ/spTzAaqBL4Y8qVxYqZGZbCdfZfS/O/zfkOQAh6SOSXgNOBh6U1H1E83xgTfxOeDfwX7nbp5c4C7XH3wQ+GdfdO/nzkc/cei0jbIsXgJuBlQXq2Umy76uqIrPco9zOOeecyxWPxF1lZh9KOxbnSsWPCDrnnHPOVSk/Iuicc845V6X8iKBzzjnnXJXyRNA555xzrkp5Iuicc845V6U8EXTOOeecq1KeCDrnnHPOVSlPBJ1zzjnnqtT/A5ERCBPg5jI+AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# run k-means with 3 clusters\n", "ms_kmeans = KMeans(n_clusters=3, init='random', n_init=3, random_state=109).fit(scaled_df)\n", "\n", "# plot a fancy silhouette plot\n", "silplot(scaled_df.values, ms_kmeans)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
Exercise #1:
\n", "\n", "Using the silhouette scores' optimal number of clusters (per the elbow plot above):\n", "- Fit a new k-Means model with that many clusters\n", "- Plot the clusters like we originally did with k-means\n", "- Plot the silhouette scores just like the above cells\n", "- Which seems like a better clustering (i.e., 3 clusters or the number returned by the elbow plot above)?" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# your code here\n", "# %load solutions/exercise1-solution.py" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Quality of Clusters: Gap Statistic\n", "The gap statistic compares within-cluster distances (like in silhouette), but instead of comparing against the second-best existing cluster for that point, it compares our clustering's overall average to the average we'd see if the data were generated at random (we'd expect randomly generated data to not necessarily have any inherit patterns that can be easily clustered). For full details, you can [read the original research paper.](https://statweb.stanford.edu/~gwalther/gap)\n", "\n", "In essence, the within-cluster distances (in the elbow plot) will go down just becuse we have more clusters. We additionally calculate how much they'd go down on non-clustered data with the same spread as our data and subtract that trend out to produce the plot below." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimal clusters: 14\n" ] } ], "source": [ "from gap_statistic import OptimalK\n", "from sklearn.datasets.samples_generator import make_blobs\n", "\n", "gs_obj = OptimalK()\n", "\n", "n_clusters = gs_obj(scaled_df.values, n_refs=50, cluster_array=np.arange(1, 15))\n", "print('Optimal clusters: ', n_clusters)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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01.0-2.485489-2016.7452543.197501-0.048743327.709212
12.0-2.414842-1166.4226552.485720-0.047171201.216617
23.0-2.343297-680.4331891.7405760.124498278.323626
34.0-2.428315-477.0032291.9290030.125511419.030416
45.0-2.527884-445.7982961.003146-0.098308221.349425
56.0-2.406904-331.9220500.739480-0.003661215.946444
67.0-2.376581-272.5776090.732733-0.050279155.749504
78.0-2.289622-213.1024030.8795480.148301215.475149
89.0-2.392151-213.2267570.991139-0.066456126.100923
910.0-2.287996-168.8231400.7144120.113461167.342742
1011.0-2.366609-167.2502750.605772-0.023348122.170160
1112.0-2.306497-143.9932020.5918740.067395128.290998
1213.0-2.332732-135.4674480.598679-0.07111989.515897
1314.0-2.224408-111.9341860.509789NaNNaN
\n", "
" ], "text/plain": [ " n_clusters gap_value gap* ref_dispersion_std diff \\\n", "0 1.0 -2.485489 -2016.745254 3.197501 -0.048743 \n", "1 2.0 -2.414842 -1166.422655 2.485720 -0.047171 \n", "2 3.0 -2.343297 -680.433189 1.740576 0.124498 \n", "3 4.0 -2.428315 -477.003229 1.929003 0.125511 \n", "4 5.0 -2.527884 -445.798296 1.003146 -0.098308 \n", "5 6.0 -2.406904 -331.922050 0.739480 -0.003661 \n", "6 7.0 -2.376581 -272.577609 0.732733 -0.050279 \n", "7 8.0 -2.289622 -213.102403 0.879548 0.148301 \n", "8 9.0 -2.392151 -213.226757 0.991139 -0.066456 \n", "9 10.0 -2.287996 -168.823140 0.714412 0.113461 \n", "10 11.0 -2.366609 -167.250275 0.605772 -0.023348 \n", "11 12.0 -2.306497 -143.993202 0.591874 0.067395 \n", "12 13.0 -2.332732 -135.467448 0.598679 -0.071119 \n", "13 14.0 -2.224408 -111.934186 0.509789 NaN \n", "\n", " diff* \n", "0 327.709212 \n", "1 201.216617 \n", "2 278.323626 \n", "3 419.030416 \n", "4 221.349425 \n", "5 215.946444 \n", "6 155.749504 \n", "7 215.475149 \n", "8 126.100923 \n", "9 167.342742 \n", "10 122.170160 \n", "11 128.290998 \n", "12 89.515897 \n", "13 NaN " ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gs_obj.gap_df" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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YTwOpwAK3G+6zACLSXkTKelSNAm4BJgTprvt7EVknImuB8cC9kX4BxhgTKXOjaPCgly9zYalqzyoePwBc7d5fCsFXaFTVW8IXnTHGRI+Tp4tYsjX6qq/ARqIbY0xUe39jFsWlTjPxoI5pdGrZxOeIylkCMcaYKDbPM3gwmqqvwBKIMcZEreN5hXyyrbz6yu+5ryqzBGKMMVHqA0/11UWdm9OxRfRUX4ElEGOMiVreua+iqfG8jCUQY4yJQsfyCvl0+9HAdrRVX4ElEGOMiUrvb8iixK2+GtKlBe2bN67hjMizBGKMMVFoXpRXX4ElEGOMiTpHcgv4dHv09r4qYwnEGGOizPz1Wbi1Vwzr2oK2acn+BlQFSyDGGBNlYqH6CiyBGGNMVMnOyWf5Tqf3lQhcZQnEGGNMKN73VF8N79qSjGbRWX0FlkCMMSaqeAcPTomyua8qswRijDFRIvtUPit2HQMgTuDKAW19jqh6lkCMMSZKvLc+i7IFvi/p1oo2qdFbfQU+LShljDm3zV+fxd8/2cmAlCLG+R1MDInmqduDsQRiTBQ7nFPAz99aR/7JAkaOLiUpIforDfKLSvjJv9aQU1DM58BtR/OiZg3vaJZ1Mp/Pd5dXX02O8uorsCosY6Lab+Zt5P0Nh/hoXzH/XL7b73BCsnBTNjkFxQAo8LclO/0NKEa8u+5goPpqRI9WpDdt5G9AIbAEYkyUOpxTwLx15VUas1cf8DGa0M1Zvb/C9v99sZcjuQU+RRM7vP/X11zY3sdIQmcJxJgo9drneygq0cD2mr0n2Hkkz8eIanbyTBGZXx2u8FhBcSkvfbrLn4BixIETZ1i5+zgA8XHClf0zfI4oNJZAjIlCxSWlvLJ8z1mPV/51H23eX59FYUkpAE2S4gOPv/jZbvLcai1ztnc9pY+RPVrRKgaqr8DHBCIij4nIZhFZKyKzRaR5kGOSRWSFiKwRkQ0i8ohnXzcRWS4i20TkNRFJiuwrMCZ8Ptx0iIMn8wFnOosyc1YfQFWrOMt/c9aUJ7i7J/aiTRMn+JNnipj1+V6/wop63uqraB886OVnCWQBMEBVBwJbgIeCHFMATFDVQcBgYLKIXOru+x/gCVXtCRwHvhuBmI2JiJc+K28w/86obiS7P+Z3Hslj7b6TPkVVvexT+Xy2vXwOp2mDOzC5a2Jg/3NLdlDklk5MuX3HT/PlnhMAJMQJV/SL/t5XZXxLIKr6gaqWlWmXAR2DHKOqmutuJro3FREBJgCvu/teBKaHOWRjImJbdk5gKdM4ge+M7saQjPIe929FaTXW3LUHA3M4XdKtJW3TkhndIYH0pk7lwIGT+byzJjY6AkTSe+uyAvdH9UynRUrsVKZEyziQ7wCvBdshIvHASqAn8GdVXS4i6cAJTwLaB3So4vwZwAyAjIwMMjMzGzj0+svNzY3KuGoSi3HHQsz/2FjeY+miNvFsXb2cwS2K+OSAUx30xue7GZ2STXycVPUUvnj5szOB+xc0dt7nwjN5jG2XxJtbnccff3ctLU5uRSS6YveK9GfkVc/71jPpZJ2v7cdnO6wJREQ+BIKVxx5W1TnuMQ8DxcArwZ5DVUuAwW4byWwRGQBkBTu2ivNnAjMBhg4dquPGjavVa4iEzMxMojGumsRi3NEec25BMT9cvDCwfd+1QxnVM53SxYtpvaeEwzkFnCpUEjsOYGzv1j5GWtHuo3nsmJ8JQGK8cPf1l9EiJYnMzEx+OWEU83+3kNOFJezLVWjXn3EXtPE34GpE8jOy99hpdsxfDDjv24+vH0dak8QazgrOj892WKuwVHWSqg4IcitLHrcDU4CbtIaWQVU9ASwGJgNHgeYiUpYAOwLRWa43phZmr9pHrttbqUfrFEb2aAVAnAjXDiwfGxBt1VjeqqnLereuUA2T1iSRbw3vHNj+34+2RzS22jhxupBDeZFrp/H2vhrdM73OycMvfvbCmgw8CExV1dNVHNO6rHeWiDQGLgc2u8lmMXCDe+htwJzwR21M+KhqhcbzWy7tUqGqZ/pF5Qnk/fVZnCksiWh8VVFV3vIMcrx20NmD4L47uhsJbpXbip3HWLXneMTiC9WuI3mM/3+Z/HTJGe6e9SWn8ovCfs25Fea+io3Bg15+9sJ6GkgFFojIahF5FkBE2ovIu+4x7YDFIrIW+BxYoKpz3X0/Be4TkW1AK+C5yIZvTMP6bMdRtmY7fUZSkuL52pCK/Uou7JBG93RnTqm8whI+3HQo4jEGs+lgDtvcuBsnxnN5v7MHwbVv3phpg8ubKf8SZaUQVeU/397A8dNO0piz+gDXPLkkrIlu99E81u13etQlxkvQ9y3a+dkLq6eqdlLVwe7tTvfxA6p6tXt/rapepKoD3aqvRz3n71DV4e7z3KiqNleCiWn/8JQ+rru4A6nJFaszRKTCl3C0DCp821N9dXm/DJokBW9a/f5l3QP3P9h4iO2Hc4Me54f567P4eEvFEfR7j53hxmc/46mFWykpbfixN96xH2N7tSatcWxVX4GNRDcmKhw8eYYPNpaXKG4d0TXocdMGl1dzZH51mON5heEOrVqlpVqh/cMbX2W9M1KZ6Daeq8LMj3aEPb5Q5BUU8+jcjYHtvi3jSE12kmBJqfKHBVv41l+XceDEmaqeok5iber2YCyBGBMF/rl8T+BX7iXdWtI7IzXocV3TUxjcyZm0obhUK/yK9cOqPcfZ736xpjVOZEyv6nuG3TmuR+D+7C/3c+hUfljjC8WTC7cGRv23Sknihxcl897dYxjapUXgmBU7jzH5jx/zXgO93zuP5LHhwCkAkhLiYrL6CiyBGOO7wuJSXl1RPs3HbSO7Vnv8dM+vfL+rseZ4Gs+vvrBdjeuVDO3Sgos7OwmwsKSUv3/i71TvWw7l8NzS8hgeurovKYlCxxZNmDXjUu6d1Juy4Tan8ov591dW8dCbazldWL95vby9ry7r3fqs6spYYQnEGJ+9t/5gYLrzjGaNavw1OmVQ+8Agws93HWff8aCdGMOuqKS0whfh1CC9ryoTEe68rLwU8s9leyLS2ykYVeUXb62n2C35Devagq9dXN7GlBAfx92TevF/3x9Bh+aNA4+/umIvU55ayvr9dZ9Sxtv7KpbmvqrMEogxPvM2nn97eBcS46v/s0xv2ojRPdMD23N8Wifkk21HOOq2wbRtlszwbi1DOm9S3wx6tHZ6k+UUFPPPILMOR8Kc1QdYvtNZATA+Tviv6QOCjpAf2rUl7949psIX/Y7DeVz/zKf8bckOSmvZwL79cC6bDpZXX03sG5vVV2AJxBhfbThwki/cdSAS4oRvDe8U0nneMSFzVu/3ZYZeb++rawe1C3lqlbg44ftjy0shf1+6k4LiyI5pOZVfxK/nbQps3zGyKxe0bVbl8WmNE3nqWxfx2A0DA9PUF5aU8ut5m7j9hc/Jzgm9LeddT+ljfJ/WNG0ULTNK1Z4lEGN85C19XHVhO9o0Sw7pvCv6taVxovNFtuVQLpsO5oQlvqrkF5Xw/vryGYWmDgo6FV2Vpl3UnoxmzpoX2TkFzF4V2bacxz/YUqHa8J7Le9d4johw49BOzPvxGAZ2TAs8/vGWw1z1xyUs3pwd0rUrrDwYg4MHvSyBGOOTk6eLKkxJcuuILiGfm9IooUJbSaQb0xduyibPHQnfPT2FAR2q/vUeTKOEeL4zqltge+bHta8Kqqv1+0/y0me7Ats/v6ZfrUoB3dJTeP3OkRXGtRzNK+SOFz7nkXc2kF9UdWlqW3YOm7OcZN8oIS7QrTlWWQIxxif/WrmX/CJn3qUL2qZW6DYaCm811ttrDkTsC9i5XnnCunZQ+zrNrvvtSzoHxlvsOJJXYRxMuJSWKr+Ysz4w7fzonul1asROSojjoav68vJ3L6FNavnqgc9/sovpf/6ErYeClwi9jecTLmhDSgxXX4ElEGN8UVqq/GNZefXVrSO61vpLeEyv1rR0Jy08eDI/0CAcbifPFLF4c/mo7anVDB6sTmpyIjdfWl7qevaj7WFvy/nXyr2BxZsS44VHpvWv19Tyo3ulM/+esUzyNIRvzsrh2qeX8sry3We9nnNh8KCXJRBjfPDx1sPsPup0v01NTqhQmghVYnwc11xY/iUUqWqs9zeUr3s+oEMzerRuWufnumNkV5LcXmer955gRRiT4PG8Qn733ubA9oyx3esVe5mWKUn89dYh/Ne0/jRyx8HkF5Xy8Oz1fP8fKwOzBWw5lBOY66xxYjwTYrz6CiyBGOMLb+P5jUM6VTl/VE28iefddQcj0pvpbU+34Wm1bDyvrE2zZL42pPw5ng3jJIu/f/+rwGSJHZo35ofjezXYc4sIt4zoyts/HE0fzywCH2w8xOQ/fcyn249UrL7q26bO/+fRxBKIMRG299hpFn1V3mPnllo0nld2cecWdGrpDHI7lV9coWopHLJz8vl0+xHAWfd8yqD6V8N8b0x3ymqRFn91mM1Zp+r9nJWt3nuCWZ+Xjzf55bX9aOx2x21IfdqmMueHo7jN83966FQBN/1tOc97RrxPuTD2q6/AEogxEffyst2UVY2P7d2abu4U7XUhIhVKAeGuxprnWfd8eNeWtEtrXP0JIejeuilX9itfuLShJ1ksKVV+/ta6wHs+4YI2YZ17KjkxnkemDeC524YG2qhUnUGTAE2S4hnXJ/arr6AWCUREmoQzEGPOB/lFJbz2Rfm8V7deWvfSRxlvNdbCzdlhnRrEO+q9ro3nwXi7xL695kBggsaG8Mry3azf75RqGiXE8atr69dwHqqJfTOYf/eYCrMGlD0ejtKPH2pMICIyUkQ2Apvd7UEi8kzYIzPmHPTOmgOc8NTDj2+AhtSebVLp394Zh1FYXMr8dVk1nFE3e46eZvVepwdTQpxw9YCGq4a5qHMLLnGnQikuVZ5b0jCTLB7OKeCx978KbN81viedW0Xut3CbZsm89J3h/OzqC0hKiCMpIY7vjelW84kxIpQSyBPAlTjrkKOqa4Cx4QzKmHNR5SVrb760S8jTf9RkumehqXCtl+4d+1F53fOG4J3qfdbnezhxuv5rnfz2vU3k5DtVR11bNWHG2O41nNHw4uKEGWN78MXPJ/HFzycxsGPziMcQLiFVYanq3koPRcdizMbEkNV7TwSWME1KiOMbw0Kb9yoUzmA+5/5nO442+Dobqhq26qsy43q35oK2Tg+m04UlFZJtXazYeYw3PVOkPDJtAMmJ/lUdNUtOpFmMTttelVASyF4RGQmoiCSKyAPApppOMsZU5O26e+3A9oEG1obQNi2ZEd1bAU6DrXeVwIawOaviGIZJYZhBVkQqtIW88OmuaqcFqU5RSSm/eGt9YPuqAW25rHf1i12Z2gslgdwJ3AV0APYDg91tE+WO5xXW+Q/QNKyjuQUVxgHUZt6rUIWzGss78+6kfhlhm4JjysD2gbU3juUV8q8vKld+hObFT3fxlTudSJOkeH4xpV+DxWjK1ZhAVPWIqt6kqhmq2kZVb1bVo5EIztTd7C/3MeTXC7jiiY85nFPgdzjnvVmf7w2M3h7UMY1BnRq+HnzyhW0DKwKu33+KbW6Job5UtdLgwfDNIJsYH8d3R3smWVyyg2L3fQtV1sl8nliwJbD944m9aN+8/t2NzdlC6YX1vIj8vfItEsGZusnJL+KRdzZSqrDn2Gme93nZ0PNdSalWWDTp1hFdw3KdZsmJTPCML2ioMSGV1z0fG+aqoG8O70TzJk5bwd5jZ3hvfe16lf3XvI2BmYJ7tWlaYdZf07BCqcKaC8xzbwuBZkC9ftqIyGMisllE1orIbBE56+eYiCSLyAoRWSMiG0TkEc++F0Rkp4isdm+D6xPPueaFT3YFuooCvLpij1Vl+WjhpkOBL+CWKUlhnUSv4kJTBxpkcsKK6563rXHd8/pqkpRQIcnWZpLFpVuPVJiw8NFpA8Ie7/kslCqsNzy3V4CvA0Pred0FwABVHQhsAR4KckwBMEFVB+G0u0wWkUs9+3+iqoPd2+p6xnPOOHmmiL8uqTiS9/jpogp12CayvLPufn1op7D2BBrXp01givQ9x06zyp15tq6KS0orfCFfG8bqK6/bRnQhOdH5etpw4BRLtx2p8ZyC4hL+c055w/n0we0Z0aNV2GI0ddzUz7IAACAASURBVJvKpBdQr9FPqvqBqha7m8uAjkGOUVUtK+kkurfIr9sZY55bupNTbr9372DbFz7Z5cuyp+e77YdzWbK1fO6omy7pHNbrJSfGVxjgV99qrE+2Hw2se57RrBGXdIvMF3Krpo34+tDybs5/CWF6k78t2cmOI3kApDZK4GfX9A1bfMYRShtIjoicKvsXeAf4aQPG8B3gvSquHS8iq4FsYIGqLvfs/o1bBfaEiDQKdv755sTpQv7umbDtl1P6BX7FbTx4is93HfcrtPOWt+vuxAsy6NQy/KOgp3mqseauPUhRLRuhvbwJ6NqB7Rts4GMovjemO2WXW7rtCOv2nazy2L3HTvPUoq2B7fuu6E2b1NCWBzZ1J+H6VSoiHwJtg+x6WFXnuMc8jFMddr1WE4jbRjIb+JGqrheRdkAWkATMBLar6qNVnDsDmAGQkZExZNasWfV4VeGRm5tL06b1X5fg9S2FzN3htH20TxF+PboxL24o5KN9TolkWNt47hrccH9UDRV3JEUy5vxi5d7M05xxy9oPDG3EgPS6dX+tTdylqtyfeYbjBc6f1L1DGjGode2vW1ii/HjRafLd5rNfjkimW1rtqt/q+37/7+p8lmc5AQxvG88Pqvj8/mlVPl9mO8d1To3jlyOS65zsYvFzDeGNe/z48StV9aymiyo/VSJycXVPqKqratg/qbr9InI7MAWYWF3ycJ/rhIgsBiYD61W1rFK2QESeBx6o5tyZOEmGoUOH6rhx46q7lC8yMzOpb1xHcwv4waLFge2fTRvMhIHtad/3FB/9cQkAq7JL6T34kgbr0tgQcUdaJGN+edluzhQ7dfLd0lP4wfWXEVfHL7Xaxn3jmU3M/Nip9tlR0oq7x11U62u+u+4g+SXOn3m39BRun3pZrSchrO/7nd7rJFOeWgrAF4dK6HbhMLq0qjh78cJNh/gy+4vA9hM3X8qQWi4P7BWLn2vwJ+7qqrD+UM3t/9XnoiIyGXgQmKqqp6s4pnVZ7ywRaQxcTvmEju3cfwWYDqwP9hznk5kf7+C023WxT0ZqoB78grbNAiOUS0qVl5fVb3oIExpVrVB9dfOlXeqcPOpimmeqkQ82HCKvoLiao4Pzjv2o67rn9TWgQxpjejmz2ZYqZ3UQyS8q4VfvbAhsf2Nop3olD1M7VSYQVR1fzW1CPa/7NJAKLHC74T4LICLtReRd95h2wGIRWQt8jtMGMtfd94qIrAPWAenAr+sZT0zLzsnnxc92BbbvvbxXhS+r20Z2Ddy3Lr2RsWLnscBI6MaJ8dww5Kx+ImHVr10zerVxqjPOFJWwYOOhWp1/8kxRhUWvpkao91Uwd15WPsniv77Yx5Hc8oGxzyzext5jThfp5k0S+elVF0Q8vvNZSL2wRGSAiHxdRG4tu9XnoqraU1U7ebrh3uk+fkBVr3bvr1XVi1R1oKoO8LZxqOoEVb3QffxmT2+t89KzmTvIL3IaSvu3b8aV/Ss2PU3q2yYwPYR16Y2MlzwlvekXdSCtcWQn0RMRpl9U96lN3t+QRWFx+WeqZxv/2gRG9mjFhR3SACgoLuXFT3cBsPNIHs96emc9eOUFDTq/mKlZKL2wfgk85d7GA78HpoY5LhOirJP5vLy8/Mvq3km9z6pqSIiPqzD3knXpDa9Dp/J53zN6OhzzXoXCW2pYsvVIhV/uNfFOxjgtDDPv1kblSRZf+mw3eQXF/PLtDeXTw3RqzjcbcHZjE5pQSiA3ABOBLFW9AxgEpIU1KhOyZzK3BX4pDuqYxsS+wYfofGNYJ+vSGyH/XL6HYnfd12FdW9C3XTNf4ujUsglD3faAklKtMCCwOtk5+XziGbg3ZaC/CQTgqgHt6OIuBHXyTBF3vrySj7c467/HCfxm+oCItjEZRygJ5IyqlgLFItIMZ0yGpfoosP/EGWatKJ+t9N7Lzy59lGneJInrPFUaZdUApmEVlZTy6orwz3sVqml1qMZ617vuebeWUTERYXyc8L0x5aWQssGZ4HRQGNDBftP6IZQE8oXbG+qvwEpgFfBZWKMyIXl60bZAEf7izs1rXO/A25g+f0MWBxpw3WnjeH9DFtnu7MetUxud1R4Vaddc2I4E95f5l3tOsPtoXo3nzPFUX/nZeF7ZDUM6kt60YhtHetMk7r+ij08RmVDmwvqBqp5Q1WdxutLe5lZlGR/tPXa6wloJ91/Rp8ZultalN/xe+rT8Pf3W8M6+T+TXMiWpwg8L78SIwew5epov93jWPb8wfBM/1lZyYjy3e34EATx0Vd+Id1Aw5ar8dIvIRhH5uYgE+tCp6i5VXRuZ0Ex1nlq0NVDPPrxbS0aGOGmcdekNn81Zp1ix6xjgVLl8e3h4570KVeVqrOo6ULyztjzBjO3dOup6Nd1yaVfaNnNGo4/plc71F3eo4QwTTtX9PPoWkAJ84E6rfq+IRE959jy260geb3jWer6vmraPyqxLb/h41/Ce3L8tbdOiYy6my/tmkJLkTEGy43Ae6/efqvJY79xX0VR9VSatSSKz7xrJzFuG8LfbhvoyuNGUq24g4RpVfUhVewA/BjoDy0RksYh8L2IRmrM8uXArJW7pY1TPVlzaPfQZUq1Lb3icPFPEbE9Sv8WnrrvBNE6Kr9AWU1Vj+uasU2w55AypSk6M4/J+Db/ueUNol9aYK/q3pVFC+KbFN6EJqYJWVZep6r3ArUBznJHkxgfbsnMrfAHcO6l3rZ/DuvQ2vDdW7uOMWx3YO6Mpl3Rr6XNEFXmrsd5ZcyDwA8TL2z4yqW/41j03545QBhIOE5HHRWQ38CvgL0D0lW3PE39auDXQxXJs79YM7Vr7Lyrr0tuwSit1SLhlRNeoq1oZ1aNVoAdTdk4Bn20/WmH/WeueD7a2BVOz6hrR/1tEtgPPAPuBUao6TlWfVdWjVZ1nwuerrBzmeho577u89qWPMtalt2GoKk8u2lphIaPrL4q+L9+E+LgKAwIrV2N51z1vlpzA2N7pEY3PxKbqSiD5wGRVHaaqf1DVfZEKygT3xw+3UNZcMfGCNgzudNZS8iGzLr31l19Uwt2zVvPHD8sXMrpxaKeorfrxzo01f31WhR54b1dY97ydtS+YkFTXiP6oqm6tar+JrA0HTvKeZ36le+tR+ihjXXrrLvtUPt/4y2cVerGN6N6K+66o//9LuAzqmEZXdzqQ3IJiFm5yZtstLill3rryaU6isfeViU7+jnIyIfP+yr2yf0aDTN1gXXrrZv3+k0x9+hPWeJZYvemSzrz03eE0jdLSBziTEnrbNsqqsT7dfpQjuc66521SG3FJLXr1mfObJZAYsHbfiQrrOdxTh55XwViX3tp7d91Bbnj2U7JO5QPOgMFHpvbn19MHkBgf/X9O3mqszK+yOXG6sELvq2sHRXbdcxPbQl0P5Hq3J9YfROS6cAdlKnpiwZbA/WsGtmvQ2V2tS29oVJU/fbiVH7yyKrD2SmpyAi/cMYzbRkZfr6uqdEtPYVBHp/RaVKLM/nI/728orxq16itTG6F0430GuBNn9b/1wPdF5M/hDsw4Vu4+zuKvnGmrReCeib0a9PmtS2/N8otK+PGs1TzxYXki75aewlt3jWJMr+onsIxG3mqsP3ywhVx3uduurZowsKPNamtCF0oJZAJwpao+r6rPA1e7j5kI+KPnS2vqoPb0ykht8GtYl96qHXIby70LLI3q2YrZPxhJj9b+rdJXH1MGtaOslirXs1b6VJ/WPTexK5QEsg1nGpMyndzHTJit2HkssO5BnMDdDVz6KGNdeoNbt+8kU59eWqGx/OZLO/PCHcNp3iS6JhmsjTapyYzqefY4j6k+rzxoYk8oCSQV2CQimSKyGNgINBORt0Xk7fCGd357fMFXgfvXXdSR7mH8xWtdeiuat/YgN/7lUw6dctb2iI8T/mtaf349/cKYaCyvyfRKI837tWtGzzYNX7o157ZQ+hz+Z9ijMGf5dPsRlu0onxo8XKWPMmVdevefOBPo0vv1oeffwpOqyp8Wbq3QbbpZcgLP3DSE0b3OndHZVw5oy8NvrQt0CPB73XMTm2pMIKr6USQCMeVUtULPqxuHdKSzOwAsXMq69P72vc2A06X3xiEdz6s68TOFJTzw+poKa4d3T0/hb7cNDWvpzw9NGyVww5COvLxsD6nJCRW69xoTqlB6YV0qIp+LSK6IFIpIiYhUvaCAqbclW48EutMmxgs/nNAzItc9n7v0Zp3M5xszP6uQPEb3TGf2D0adc8mjzM+v6cdfbhnCOz8cTUaz6Fi7xMSWUCpzn8ZZXGor0Bj4N6De3XhF5DER2Swia0VktrvuelXHxovIlyIy1/NYNxFZLiLbROQ1EYndVk0PVeVxT+njG8M60bFFeEsfZc7XLr1r951g6tNLWetpLL91RBeev2MYaU3O3eVSkxOddUK6pqf4HYqJUaGuB7INiFfVErcr7+QGuPYCYICqDgS2AA9Vc+zdwKZKj/0P8ISq9gSOA99tgJh8t/irbFbvddakToqP467xkSl9lDnfuvS+s+YANz77Gdk5nsby6QN4dFpsjCw3xk+h/IWcdn/drxaR34vIvSGeVy1V/UBVyzqhLwM6BjtORDoC1wB/8zwmOGNRXncfehGYXt+Y/Fa59PHtSzrTLq1xRGM4X7r0lpY67Uw/evVLCoqdhuS0xom89J3h3HJp9KwmaEw0k5rmPhKRLsAhIAm4F0gDnnFLJQ0ThMg7wGuq+nKQfa8Dv8XpTvyAqk4RkXRgmVv6QEQ6Ae+p6oAg588AZgBkZGQMmTVrVkOF3WByc3Np2rQpqw4V8+SXzi/hxDh4bGxjmidH/lfwykPFPOXG0TQRHh/XhKT4sxvTy+KOJbm5uSQ2TuFv6wr4PKu8q3LbFOGei5NpmxKdpY5YfK8hNuOOxZghvHGPHz9+paoOrfx4KL2wyn6C5gOP1OaiIvIh0DbIrodVdY57zMNAMfBKkPOnANmqulJExtXm2mVUdSYwE2Do0KE6blydniasMjMzGTv2Mn735BLA+eK+bWQ3pk/u50s8o0tKeXNnJvtPnCG3CE6k9QzapTczM5NofD+rM3v+Iv6yMZF1WacDj43plc7T376YtMbR294Ri+81xGbcsRgz+BN3dSsSThORuzzby0Vkh3u7IZQnV9VJqjogyK0sedwOTAFu0uBFoVHAVBHZBcwCJojIy8BRoLmIlCXAjjirJsas+Ruy2JyVA0DjxHjuHNfDt1jO1Vl61+w9wSOf5bNuf3lj+e0ju/L87cOiOnkYE62qK68/CHhHmjcChgHjgH+v74VFZLJ7jamqejrYMar6kKp2VNWuwDeBRap6s5tsFgNliew2YE59Y/JLaaVxH7eN7Ep600Y+RnTudek9klvALc8t50SBkwgT4oTfXDeAX03tT4I1lhtTJ9X95SSp6l7P9lJVPaqqe4CG6Pf3NE67xgIRWS0izwKISHsReTeE838K3Cci24BWwHMNEJMvVhwsYWt2LgApSfHMGNvd54jOvS69763P4lS+02cjrXEiL313ODddYo3lxtRHdW0gLbwbqvpDz2a957AuawAP8vgBnBl/Kz+eCWR6tncAw+sbh9+KS0p5a1thYPs7o7vRMiU6hrTcNrIrr65wfkOUdelt3zyyvcIaysJN5Qty3TupFyN7nDvTkhjjl+pKIMtF5HuVHxSR7wMrwhfS+WXO6gNknXaqVVIbJfBvo/0vfZQ5V7r0ni4s5tPtRwPbE/tm+BiNMeeO6hLIvcAdIrLYXYnwDyKSCdwO3BOJ4M51RSWlPLmofNK+747pFnUjn8+FWXqXbD1CoTvWo2NToVPLyIzsN+ZcV2UCUdVsVR0J/Bewy709qqojVPVQVeeZ0L25ah+7jzr9B9IaJ/Kd0d18juhsZbP0AoFZemONt/pqcJtQJqA2xoSixu4nqrpIVZ9yb4siEdT5oKC4hCcXlo/FnDG2O82So6v0AbHfpbe0VFm0+XBge3DreB+jMebcYv0XffJ/n+9lvzvPVGqiMx4hWsVyl941+05wJNcZnJneNInuze0jb0xDsb8mH+QXlfDUovLSxzXdk0hpFL1VK7HcpfdDT/XV+D5tiDuP1jcxJtwsgfjg5WW7A7O/tkltxITO0Zs8ysTqLL0LN2UH7lvvK2MaliWQCMsrKOaZzO2B7R9N6Bl0osJoE4tdevcdPx2YHiYpPo4x59CStMZEA0sgEfbCp7s4lucMHOzQvDFfHxY7645X7tJbWBLdjene0seIHq2iuprQmFhkCSSCTp4p4i8flZc+7p7Yi0YJsdMrqHKX3uUHi2s4w1/e9o9Jfdv4GIkx5yZLIBH03JIdgfmYurZqwvUXd6jhjOhSuUvvgt3FUdulN7egmOU7jgW2J1j7hzENzhJIhBzNLeC5pTsD2/de3jsmZ4H1dundk1NaYR3xaLJky2EKS5zR533bNQuUnIwxDSf2vsFi1F8+3kFeoTMNSO+MpkwZ2N7niOqmeZMkrrmwPPbZX0bnMiwfeto/rPrKmPCwBBIB2afyK4yduO/y3sTHRX/Pq6p8zVP19vaaA4F5pqJFSamy+CvrvmtMuFkCiYA/L95Ggfsl2799M67sH2yV39hxafdWtEtLBuBYXiEfbTlcwxmRtXrv8UBPt9apjRjYIc3niIw5N1kCCbN9x0/zzxV7AtsPXNEHifHR0HFxwnTPyPTZX+7zMZqzLdjoKX1c0Ia4GC7tGRPNLIGE2dOLtlHkjpe4uHNzxvWp91pcUeF6TwL5cGM2J08X+RhNRd7Zd636ypjwsQQSRruO5PGvleW/zs+F0keZXhmpdG3mfHwKS0qZuy46pnnfc/R0YHngRglxjO5po8+NCRdLIGH0p4VbKSl1Sh8jurdi5Dn2ZTaqffnI7tmroqM3lnfw4Kie6TROip2BmsbEGksgYbL1UA5vrS7/Un3gyt4+RhMel7RLIMFtX/hi93F2H83zOSJYuNlbfWXdd40JJ0sgYfLEh1soG6Q9vk9rhnRp6W9AYdCskXBZ7/I2nTd9LoWcyi+qMPp84gXW/mFMOFkCCYP1+0/y7rqswPZ9l/fxMZrwuv7ijoH7s7/c7+vUJh9vOUyxW2U4oEMz2rpdjY0x4eFLAhGRx0Rks4isFZHZItK8mmPjReRLEZnreewFEdkpIqvd2+DIRB6aJxZsCdyf3L8tF3Y8d8chTOzbhtRkpy1kz7HTrNzt32qFFdb+sNKHMWHnVwlkATBAVQcCW4CHqjn2bmBTkMd/oqqD3dvqcARZF6v2HGfhZueLTMSZ8+pclpwYz5SB7QLbb/hUjVVcUlph9Pkk675rTNj5kkBU9QNVLZsLfBnQMdhxItIRuAb4W6Riq6/HPygvfUwd1J4+bVN9jCYyvNVY89YeIL+oJOIxrNx9nBPuWJSMZo0Y0KFZxGMw5nwjfk/HLSLvAK+p6stB9r0O/BZIBR5Q1Snu4y8AI4ACYCHwH6paUMXzzwBmAGRkZAyZNWtWOF4GAJuOlvA/n+cDECfw36Mb0zal5hydm5tL06ZNwxZXuJTFrao8+PEZDp9xPkt3DW7EsLaRXbxp1uZC5u9yEsi4Tgnc3r9R0ONi/b2ONbEYdyzGDOGNe/z48StVdWjlx8P2Vy4iHwLBJn16WFXnuMc8DBQDrwQ5fwqQraorRWRcpd0PAVlAEjAT+CnwaLA4VHWmewxDhw7VceMqP1XDUFX+/JfPACeB3DCkI9+8ZlBI52ZmZhKuuMLJG/e3irfw5MKtAHxVkMZPxg2LaCyPrswEnARy68TBjKuiDeRceK9jSSzGHYsxgz9xhy2BqOqk6vaLyO3AFGCiBi8GjQKmisjVQDLQTEReVtWbVfWge0yBiDwPPNCAodfJx1uP8PkupwE5MV740YRePkcUWddf1CGQQDK/OszR3AJaNQ1eCmhoO4/kseOwMwYlOTGOkT3OrQGbxkQrv3phTQYeBKaq6ulgx6jqQ6raUVW7At8EFqnqze757dx/BZgOrI9I4FVQVf7wwVeB7W8O60ynlk18jCjyuqanMKRLCwCKS5V31kRuahPv3Feje7YmOdFGnxsTCX71wnoap11jgdsN91kAEWkvIu+GcP4rIrIOWAekA78OX6g1W7DxUGBlvkYJcfxwQk8/w/HNdZ4JFt+M4EJTtva5Mf6IbEunS1WDfsOq6gHg6iCPZwKZnu0J4YqttkpLlcc94z5uubQLGc3OzwFsUwa249F3NlJY4ix1uy07h55twtsL7eTpokDVIcCECyyBGBMpNhK9nuatO8jmrBwAmiTFc+e4Hj5H5J/mTZIqzD8VialNMrdkByasHNQxjTbnafI2xg+WQOqhuKSUJz4sL33cMaor6RFqOI5W3mqst77cT2lpeLuJVxh9boMHjYkoSyD18NbqA4HeP6nJCcwYc/6WPsqM69OGFk0SAThwMp9lO4+G7VpFJaVk2uhzY3xjCaSOCotL+dPC8tLH98Z0J8394jyfJSXEMXVQ+8B2OKuxPt91jFP5zoQG7dOS6dvu3B/1b0w0sQRSR/9auZe9x84A0KJJIneM6upvQFHkOs/UJu+tO8iZwvBMbVK5+upcWe3RmFhhCaQO8otKeGrhtsD2nZf1IDXZSh9lBnVMo3vrFADyCkv4YGNWDWfUnqpWWvvcel8ZE2mWQOrgn8v3kHXKmbIkvWkjbh3R1d+AooyI8DVPKSQcM/RuP5zHrqPOGNQmSfFc2r1Vg1/DGFM9SyC1dLqwmGcyy0sfPxzfw9bdDmLa4PJ2kKVbD5PtJtyG4i19jOmVbqPPjfGBJZBaevHT3RzJLQSchttvXdLZ54iiU8cWTbi0u7OMb6nCnNUNO7WJdd81xn+WQGrhVH4Rz360PbD944m9aJRgv3yrcn2Faqx9Dfa8x/MK+WK3s/a5iI0+N8YvlkBq4e9Ld3LyjDNleJdWTfjakKDrYBnXVQPa0ijB+Yhtzsph44FTDfK8mVuyKRufOLhT8/N+8KYxfrEEEqLjeYU8t2RnYPueSb1IjLe3rzqpyYlc2b98SZjZXzZMKeTDTTZ40JhoYN+AIZq5ZAc5Bc6gtZ5tmjJ1UIcazjAA11/smdpk9QGKS0rr9XyFxaV89NXhwLYlEGP8YwkkBIdzCnjhk12B7fsu7018nA1aC8XonumBKqbDOQUs3XakXs+3Yucxct1E3rFFY3pnxN7So8acKyyBhOB/M7dzpsgZTd2vXTMm9w+2Uq8JJiE+jumeLr2z67lOSMW1P2z0uTF+sgRSg4Mnz/Dy8t2B7fuv6E2clT5qxdsb6/0NWeTkF9XpeVSVhZtt9Lkx0cISSA2eXrSNwmKn3n5wp+bWZbQO+rVvxgVtnYkO84tKeW993aY22ZqdG5h/rGmjBC7pZqPPjfGTJZAafGt450DSeOCKPlZlUkfexvTZdZzaxFt9NbZ3OkkJ9vE1xk/2F1iDAR3S+Pvtw3jv7jGM6mm/eOtq2uAOlNX8fbbjKPuOn671c1QYfX6B9b4yxm+WQELUt10zK33UQ0azZEb1TA9s13Zqk6O5Baza46x9Hicw3qoSjfGdJRATMd4Zet9ctQ/V0Je7XfzVYcoOv7hzC1qmJDV0eMaYWrIEYiLmiv4ZpLgzF28/nMfafSdDPtc7++6kflZ9ZUw08CWBiMhjIrJZRNaKyGwRaV7FcbtEZJ2IrBaRLzyPtxSRBSKy1f23ReSiN3XVJCmByQPaBbbfDHGCxYLiEj7e4h19btVXxkQDv0ogC4ABqjoQ2AI8VM2x41V1sKoO9Tz2H8BCVe0FLHS3TQz4mqc31jtrDwa6SFdn2Y5j5LnL4nZp1YQerW30uTHRwJcEoqofqGqxu7kMqO20ttOAF937LwLTGyo2E16Xdm9F+7RkAI7lFfKRp2RRlQpL115go8+NiRZSm4bMsAQg8g7wmqq+HGTfTuA4oMBfVHWm+/gJVW3u3hfgeNl2kOeYAcwAyMjIGDJr1qzwvJB6yM3NpWnT2PtVXde4//VVIfN2OqPRh2bE88OLkqs8VlV54KMzHM13PqcPDkumX6u6r8Fyvr3XfovFuGMxZghv3OPHj19ZqRYIgISwXA0QkQ+BYJNGPayqc9xjHgaKgVeqeJrRqrpfRNoAC0Rks6p+7D1AVVVEqsyCbtKZCTB06FAdN25c7V9MmGVmZhKNcdWkrnF36JvDvCec/8a1R5SLho8irUli0GM3HTzF0feXAJCanMD3po+v1zT659t77bdYjDsWYwZ/4g5bFZaqTlLVAUFuZcnjdmAKcJNWUQxS1f3uv9nAbGC4u+uQiLRzn6cdkB3sfBOdemWkMrBjGgCFJaXMXVf1mBBv9dVlvVvbGizGRBG/emFNBh4Epqpq0CHJIpIiIqll94ErgPXu7reB29z7twFzwhuxaWjXXVTemP5mNVOb2OJRxkQvv37OPQ2k4lRLrRaRZwFEpL2IvOsekwEsFZE1wApgnqrOd/f9DrhcRLYCk9xtE0OuHdSeBHduk5W7j7P7aN5ZxxzOKWDNvhMAxMcJ4/q0jmiMxpjqha0NpDqq2rOKxw8AV7v3dwCDqjjuKDAxbAGasEtv2ohxfVoHShhvrtrPvZf3rnDM4s3ZgdHnQ7q0oHkTG31uTDSxCmXjm+suKu+9PfvL/WdNbbLA0/5xuVVfGRN1LIEY30zs24bUZKcQvOfYaVbuPh7Yl19UwtKtRyoca4yJLpZAjG+SE+OZMrB8uds3PI3pn20/GlhGuHt6Ct1t9LkxUccSiPGVd2qTuWsPkO8mDe/iUVb6MCY6WQIxvhrSpQWdWzYBICe/mEWbs1FVFm32LB5l7R/GRCVLIMZXIlJpTMg+Nhw4xcGT+QCkNU5kaBebbNmYaGQJxPjOu1565leH+dcXewPb4/q0JsFGnxsTlewv0/iuS6sUhriljOJS5aVluwP7rPrKmOhlCcREBW8ppGw4SEKccFlvG31uTLSyBGKiwpQL25NUdIhQKAAAB1dJREFUqapqWNeWpDUOPkuvMcZ/lkBMVEhrknhWd11b+9yY6GYJxESN6y+uuDClrX1uTHSzBGKixmW9W9MtPQWA4d1a0qVVis8RGWOq48tsvMYEk5QQx2szLuXzXccZ3TPd73CMMTWwBGKiSptmyVwzsJ3fYRhjQmBVWMYYY+rEEogxxpg6sQRijDGmTiyBGGOMqRNLIMYYY+rEEogxxpg6sQRijDGmTkTLpj49D4jIYWB3jQdGXjpwxO8g6iAW447FmMHijqRYjBnCG3cXVT1rauzzKoFEKxH5QlWH+h1HbcVi3LEYM1jckRSLMYM/cVsVljHGmDqxBGKMMaZOLIFEh5l+B1BHsRh3LMYMFnckxWLM4EPc1gZijDGmTqwEYowxpk4sgRhjjKkTSyA+EpFOIrJYRDaKyAYRudvvmEIlIvEi8qWIzPU7llCJSHMReV1ENovIJhEZ4XdMNRGRe93PxnoReVVEkv2OKRgR+buIZIvIes9jLUVkgYhsdf9t4WeMwVQR92PuZ2StiMwWkeZ+xhhMsLg9++4XERWRsK/KZgnEX8XA/araD7gUuEtE+vkcU6juBjb5HUQt/QmYr6oXAIOI8vhFpAPwY2Coqg4A4oFv+htVlV4AJld67D+AharaC1jobkebFzg77gXAAFUdCGwBHop0UCF4gbPjRkQ6AVcAeyIRhCUQH6nqQVVd5d7PwflC6+BvVDUTkY7ANcDf/I4lVCKSBowFngNQ1UJVPeFvVCFJABqLSALQBDjgczxBqerHwLFKD08DXnTvvwhMj2hQIQgWt6p+oKrF7uYyoGPEA6tBFe83wBPAg0BEekdZAokSItIVuAhY7m8kIfkjzoe01O9AaqEbcBh43q16+5uIpPgdVHVUdT/w/3B+TR4ETqrqB/5GVSsZqnrQvZ8FZPgZTB19B3jP7yBCISLTgP2quiZS17QEEgVEpCnwBnCPqp7yO57qiMgUIFtVV/odSy0lABcD/6uqFwF5RGeVSoDbZjANJ/m1B1JE5GZ/o6obdcYLxNSYARF5GKea+RW/Y6mJiDQBfgb8ZySvawnEZyKSiJM8XlHVN/2OJwSjgKkisguYBUwQkZf9DSkk+4B9qlpWwnsdJ6FEs0nATlU9rKpFwJvASJ9jqo1DItIOwP032+d4QiYitwNTgJs0NgbL9cD5obHG/dvsCKwSkbbhvKglEB+JiODUyW9S1cf9jicUqvqQqnZU1a44DbqLVDXqfxWrahawV0T6uA9NBDb6GFIo9gCXikgT97MykShv+K/kbeA29/5twBwfYwmZiEzGqaKdqqqn/Y4nFKq6TlXbqGpX929zH3Cx+7kPG0sg/hoF3ILzK361e7va76DOYT8CXhGRtcBg4L99jqdabmnpdWAVsA7n7zUqp9kQkVeBz4A+IrJPRL4L/A64XES24pSmfudnjMFUEffTQCqwwP2bfNbXIIOoIu7IxxEbpTNjjDHRxkogxhhj6sQSiDHGmDqxBGKMMaZOLIEYY4ypE0sgxhhj6sQSiDnviUhbEZklIttFZKWIvCsivUWka7DZTkN8zttFpH0DxHaViHzhztj8pYj8ob7PGeQa97gjmY2pFUsg5rzmDtCbDWSqag9VHYIz+2p95226HWf6kdrEklBpewDOmISb3RmbhwLb6hlXMPfgTNRoTK1YAjHnu/FAkaoGBoup6hpVXeI9yC1RPO3Znisi49x1UV5w1+tY567fcQPOl/0r7kC0xiIyREQ+cks473um+MgUkT+KyBc4U+R7PQj8RlU3u3GVqOr/uud1FZFF7poVC0Wks/v4C+71y+LMdf8d516rbD2UV8TxY5xEt1hEFjfUm2rOD5ZAzPluAFCfiSEHAx1UdYCqXgg8r6qvA1/gzKM0GGdCvqeAG9wSzt+B33ieI0lVh6pq5eqp6mJ7CnjRXbPiFeDJEGK9CKe00Q/oDoxS1Sdxpogfr6rjQ3gOYwISaj7EGFONHUB3EXkKmAcEm269D04yWODUmBGPMz17mdfqcN0RwPXu/X8Avw/hnBWqug9ARFYDXYGldbi2MYCVQIzZAAwJ4bhiKv69JAOo6nGc1Q0zgTsJvsiWABtUdbB7u1BVr/Dsz6tnbEHjFJE4IMmzr8BzvwT7AWnqyRKIOd8tAhqJyIyyB0RkoIiMqXTcLmCwiMS5y4YOd49NB+JU9Q3g55RPEZ+DMyEfwFdAa3HXYBeRRBHpH0JsjwE/E5He7nlxInKnu+9Type3vQkoa7PZRXnSmQokhnAdb6zGhMx+gZjzmqqqiFwH/FFEfgrk43wJ31Pp0E+AnThTwG/CmSEXnCWIn3d/7UP5+tkvAM+KyBmc6qYbgCfdpXUTcFZ13FBDbGtF5B7gVbebrQJz3d0/cq/7E5yVFu9wH/8rMEdE1gDzqbp04zUTmC8iB6wdxNSGzcZrjDGmTqwKyxhjTJ1YAjHGGFMnlkCMMcbUiSUQY4wxdWIJxPz/9upYAAAAAGCQv/UcdpdEAItAAFgEAsASJCbxHq+KEXEAAAAASUVORK5CYII=\n", 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "gs_obj.plot_results() # makes nice plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we wish to add error bars to help us decide how many clusters to use, the following code displays such:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def display_gapstat_with_errbars(gap_df):\n", " gaps = gap_df[\"gap_value\"].values\n", " diffs = gap_df[\"diff\"]\n", " \n", " err_bars = np.zeros(len(gap_df))\n", " err_bars[1:] = diffs[:-1] - gaps[:-1] + gaps[1:]\n", "\n", " plt.scatter(gap_df[\"n_clusters\"], gap_df[\"gap_value\"])\n", " plt.errorbar(gap_df[\"n_clusters\"], gap_df[\"gap_value\"], yerr=err_bars, capsize=6)\n", " plt.xlabel(\"Number of Clusters\")\n", " plt.ylabel(\"Gap Statistic\")\n", " plt.show()\n", " \n", "display_gapstat_with_errbars(gs_obj.gap_df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For more information about the `gap_stat` package, please see [the full documentation here](https://github.com/milesgranger/gap_statistic)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3b. Agglomerative Clustering\n", "\n", "
\n", "\n", "
Table Exercise #2: With your table, collectively discuss how agglomerative clustering works. Use a whiteboard, draw a bunch of dots, and walk through each step of how the algorithm works. When you're confident of your answer, speak with a TF to verify its correctness.
\n", "\n", "### Code (via `scipy`):\n", "\n", "There are many different cluster-merging criteria, one of which is Ward's criteria. Ward's optimizes having the lowest total within-cluster distances, so it merges the two clusters that will harm this objective least.\n", "`scipy`'s agglomerative clustering function implements Ward's method." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import scipy.cluster.hierarchy as hac\n", "from scipy.spatial.distance import pdist\n", "\n", "plt.figure(figsize=(11,8.5))\n", "dist_mat = pdist(scaled_df, metric=\"euclidean\")\n", "ward_data = hac.ward(dist_mat)\n", "\n", "hac.dendrogram(ward_data);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
Discussion #4: How do you read a plot like the above? What are valid options for number of clusters, and how can you tell? Are some more valid than others? Does it make sense to compute silhouette scores for an agglomerative clustering? If we wanted to compute silhouette scores, what would we need for this to be possible?
\n", "\n", "### Lessons:\n", " - It's expensive: O(n^3) time complexity and O(n^2) space complexity.\n", " - Many choices for linkage criteria\n", " - Every node gets clustered (no child left behind)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "# %load solutions/discussion4-solution.py" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3c. DBscan Clustering\n", "DBscan uses an intuitive notion of denseness to define clusters, rather than defining clusters by a central point as in k-means.\n", "\n", "### Code (via `sklearn`):\n", "DBscan is implemented in good 'ol sklearn, but there aren't great automated tools for searching for the optimal `epsilon` parameter. For full documentation, please [visit this page](https://scikit-learn.org/stable/modules/generated/sklearn.cluster.DBSCAN.html)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.cluster import DBSCAN\n", "plt.figure(figsize=(11,8.5))\n", "fitted_dbscan = DBSCAN(eps=0.2).fit(scaled_df)\n", "plt.scatter(scaled_df['x'],scaled_df['y'], c=fitted_dbscan.labels_);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note:** the dark purple dots are not clustered with anything else. They are lone singletons. You can validate such by setting epsilon to a very small value, and increase the min_samples to a high value. Under these conditions, nothing would cluster, and yet all dots become dark purple.\n", "\n", "
\n", "\n", "
Exercise #2: Experiment with the above code by changing its epsilon value and the min_samples (what is the default value for it, since the above code doesn't specify a value?)
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

\n", "Instead of just empirically observing how the epsilon value affects the clustering (which would be very costly for large, high-dimensional data), we can also inspect how far each data point is to its $N^{th}$ closest neighbor:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "from sklearn.neighbors import NearestNeighbors\n", "\n", "# x-axis is each individual data point, numbered by an artificial index\n", "# y-axis is the distance to its 2nd closest neighbor\n", "def plot_epsilon(df, min_samples):\n", " fitted_neigbors = NearestNeighbors(n_neighbors=min_samples).fit(df)\n", " distances, indices = fitted_neigbors.kneighbors(df)\n", " dist_to_nth_nearest_neighbor = distances[:,-1]\n", " plt.plot(np.sort(dist_to_nth_nearest_neighbor))\n", " plt.xlabel(\"Index\\n(sorted by increasing distances)\")\n", " plt.ylabel(\"{}-NN Distance (epsilon)\".format(min_samples-1))\n", " plt.tick_params(right=True, labelright=True)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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U9gTChaTGfekwMbeSjEm2kwIetDQzs0O3eVc3r3zWomKHcVgKqcGcD/QA7wduBB4GXpNlUGZmM1l77yC7uwdYNb+0azCFJJgrImI4InIR8dWI+CzJPdBmZpaBzbuSRqJSbyIrJMGcM8a6Q302xszMDmLz7vJIMOP2wUj638BfAceOenK/Cbgt68DMzGaqXz20iwrB8nkNxQ7lsEzUyf9N4CfAPwD5Qzd3RsSeTKMyM5uhdnT0cf2GLbzljJXUVZfuXDAwQRNZRLRHxGaS8Wa2p0/zHw28WdKcaYrPzGxG+faGLQC86qSjihzJ4SukD+Y7wJCk40jGA1tOUrsxM7Mp9pN7tgFw0tLmIkdy+ApJMMMRkQP+BPhcRHwIWJxtWGZmM8/wcLBxeyfvesmxNNVlP0RM1gp6kl/ShcBbgR+l60r/zM3MjjC7uwcYHAqWzKkrdihTopAE8zbgTODvIuJRSUcDX8s2LDOzmefxPT0ALGmuL3IkU+OgQ8VExH3ApXnLjwKfzDIoM7OZ6L4n2wE4ccnsIkcyNSZ6Dua6iHiTpLsZY/6XiHhOppGZmc0w+3oGAVjYVFvkSKbGRDWYkaGZPe6Ymdk06M8NU1khqioL6b048o2bYCJiW/q2HRiZyezBiGjPPCozsxmoPzdEbVV5JBeYuImsFvgC8DrgUUDASknfA94VEQPTE6KZ2czQnxumpowSzERn8lGS25GXR8SpEXEKsIIkKf3f6QjOzGwm6R8cLqsazERn8nrgHRHRObIiff9X6TYzM5tCSRNZaY8/lm+iBDMcET2jV0ZEF2PcVWZmZodnYKi8msgmuossJM0l6XsZbTijeMzMZqxyayKbKME0AxsYO8G4BmNmNsX6ckMzowYTEaumMQ4zsxlteDi4Z2sHrzhhUbFDmTKZpkpJ50raKGmTpMvH2H6ZpPsk3SXpF5JWZhmPmdmRqrM/R3vvICcsbirK92dRXmeWYCRVAlcDrwJOBC6UdOKo3X4PtKbDznwb+Kes4jEzO5J19CbDxMyun/7B6rMqr7OswZwObIqIR9KHMq8Fzs/fISJuzrtT7bfAsgzjMTM7YrWnCaa5CAmGjMrrLBPMUuCJvOUt6brxvB34SYbxmJkdsTr60hpMcSYay6S8nmiomE4O3C02cidZpJ+piYiDDvVfKElvBlqBl4yz/RLgEoAVK1ZM1deamR0xNu9KKgeLZmc2knKLpPV5y2siYs1kD3Kw8jrfRHeRPaWnSdIs4K+BdwLfKyCOrcDyvOVl6brRwb4C+AjwkojoHyeWNcAagNbWVt8ibWZlpW9wiE/e+ACzaqtYOb8xq6/ZFRGt42ybsvI630GbyCTNkfQx4C6gCXheRHzgYJ8D1gGrJR0tqQa4AFg76tinkgyoeV5E7CzgmGZmZefeJ9tp7x3kb859BpUVYz16mLlMyutxE4ykFkn/ANwB5IBTI+KjEbG7kANHRA54N3ATcD9wXUTcK+lKSeelu30KmAVcL+lOSWvHOZyZWdl6YHsy5ONLn7mwKN+fVXk9UT/KY0Ab8GWgB3i7dCCzRsRVBQR9A3DDqHVX5L1/xcGOYWZW7u7Z2s6s2iqWzqkvWgxZlNcTJZhPcaCTvzhP/piZlbmB3DA/uPNJXnDsfPL/J74cTNTJ/7FpjMPMbEa6bdMuegaGeONzlx985xIz0W3KV4y3DYiI+EQG8ZiZzRh9g0P8/Q330zKrlpc+c0Gxw5lyE91F1j3GC5IHbP4m47jMzMrep27ayEM7u3jPy44rq4nGRkzURPbpkfeSmoD3Am8jGULg0+N9zszMDq6rP8d//mYzrztlCRe9YFWxw8nEhE/jS5oHXAb8BfBV4LSI2DsdgZmZlau+wSHed+2dDA4Fby3T5AIT98F8CvgTkifoT0qnSjYzs8P0+Vse5uf37+Cyc47ntBVzix1OZibqg/kAsAT4KPCkpA5JnemrY3rCMzMrL939Of7r9sc567gWLn356mKHk6mJ+mDKZ95OM7MjxI/v2kZbZz+fveDUYoeSuUklkXRUYzMzOwQ9Azk+eeMDHLOgkTOOmVfscDI32VrKuzKJwsyszEUE1/zqUXZ3D/CWM1aW3VP7Y5nsnC7l/4uYmU2hiODeJzu4fv0TfPU3j/GCY+dz0Zmrih3WtJhsgnltJlGYmZWpG+7ezl9/8w4Azj9lCVe96RQqijMk/7Q72HMwzySZNvN3EdEVEVvS9edGxI3TEaCZWan6zoYtfOD6PwDw0/e/mOMXzaxxgyeaD+ZS4AfAe4B7JJ2ft/nvsw7MzKyUXXv743zg+j+wfF49173zzBmXXGDiGsw7gOdGRJekVcC3Ja2KiM/gvhgzszFFBJ+/5WE+ddNGmuurufG9L6axdrK9EeVhorOuGHl6PyI2SzqbJMmsxAnGzGxMn7ppI5+/5WFetLqFf/mzU2ZscoGJb1PeIemUkYU02bwGaAFOyjowM7NS0p8b4mu/fYz/+J9HeNHqFr500fNomVVb7LCKaqLU+lYgl78inbf5rZK+kGlUZmYlor13kJ/eu51v3v44v398H89aMpur3nQKNVUeDGWioWK2TLDttmzCMTMrHbdt2sVl193Jjo5+ZtdV8bkLT+U1z1k8Ix6iLMTMbRw0MzsMj+/u4S+/so55jTV86aJWXnL8AqoqXWvJ5wRjZjYJnX2D3P7oHr7y683054a57p1nsnxeQ7HDOiI5wZiZFaCjb5APXf8Hfn7/ToaGg9qqCi4753gnlwlkmmAknQt8BqgEvhgR/zhq+4uBfwWeA1wQEd/OMh4zs8na0z3A52/exPfv3MqurgHefMYKXv3sxZy2ci511ZXFDm/KZFFeZ5ZgJFUCVwPnAFuAdZLWRsR9ebs9DlwMfDCrOMzMDsUTe3r48m2b+cqvH2U44BUnLOSiF6ziRasXFDu0KZdVeZ1lDeZ0YFNEPAIg6VrgfGB/wBGxOd02nGEcZmYFu2drO//8043csrENgNNWzOHDrz6B560q6/lbMimvs0wwS4En8pa3AM/P8PvMzCYtIti8u4dH2rr40V3b+N7vtzKnoZrLzjme152ylOXz6mfCbceZlNcl0cmfzqR5CcCKFSuKHI2ZlbrOvkH+8EQ7P79/Bzdv3Mlju3sAqKuu4PWnLuWDf/QMls6pL3KUU65F0vq85TURsSbLL8wywWwFluctL0vXTVr6I6wBaG1tjcMPzcxmiq7+HBu3d3LzAzt5YHsnj+/p5qGdXURAVYU4+xkLePPzV3LSsmZOOGo2zQ3VxQ45K7sionWcbVNWXufLMsGsA1ZLOpok0AuAP8/w+8xshssNDbNu814e39PN3VvbWffoXjbu6Ny/ffXCWayY18Afn7SE01bO4eTlc5hdV7YJZTIyKa8zSzARkZP0buAmktveromIeyVdCayPiLWSngd8D5gLvFbSxyPiWVnFZGblo6s/x5a9PTzS1s19T3Zw28O7eHB7J90DQwA01VZx8vI5vOY5izlh8WyetXQ2i5vLrtlrSmRVXiuitFqcWltbY/369Qff0czKRm5omEd2dXP3lnZ+8IcneXB7J9s7+p6yz3OWNfOcZc2ctmIup62Yy4p5DTNmauJCSNowQRNZJkqik9/MZoa+wSHaOvvpGxzi4bZu7t/WwYM7OvntI7vZ2zMIwIKmWs46roXjFs5i1fxGls6t54TFTdRWlc9Dj+XCCcbMpk3vwBDbO/rYkb62t/exo6OfHR19PNzWxUM7uxgaPtCqIsGKeQ28+PgFvODY+Tx7aTPPPGo2la6ZlAQnGDObch19g2za2cX92zp4fE8PuzoH2Nbey+2P7iE3/NRm+YaaSo6aXcfyeQ28/ISFrJzXSH1NJQubajl5+ZyyGo5lpnGCMbNDMjwc7OruZ8veXh7a0cmDO5IayEM7OtnWfqB/pKaygpZZNcybVcN5pyzhhce2cFRzHYtm17Jodh1NvourbDnBmNm4IoK9PYNsa++lvXeQPd0D3Pn4Pn798G42tXUxkDswakhtVQXHLZzFGcfMZ/WiWRy/sIlnHNXEsrkz4kl4G4MTjJkxPBzctbWd+7d1sHF7J3u6B3h8TzJ8SkffU2ZOp6aqgueumMvFL1jFsrn1HDW7juMXNbF8XoP7RuwpnGDMZpCRGslju7t5bHcPv354Fw/u6GLTzi66+pNE0lhTSUtTLUua63ntyUs4uqWRpXPqaW6oZk59DccsaHS/iBXECcasDOSGhtnTM0B7zyAdfYO09yav3V0D7OoaYHt7L4/u7uHRUTWSmsoKnrtyLq8/dSknL5/D6avmzZTBHW0aOMGYHcEigu6BIZ7Y08ODOzp5fHcP+3oHaevsZ2dnHz0DQ+ztGWDL3l7Ge2a6ulIsbKpjVUsD552yhFXzG1k1v5GV8xtYPq/BtRHLjBOMWRHkhoZ5aGcXu7sGeGJvD7u7+unoSwZlbOvsp713kO6BHF19uafd1ttYU8m8WTUcNbuO+Y01rJzfyOtPWUpLUy1zG2qYXV9Nc301s+uqmN9Yy+z6KtdIrCicYMymQETQ0ZdjZ8eBBwef3NfLnp4BegeG2LK3lyfbe+npH6J7IEfPwNBTHiiEZGTf4xc1sbi5jmcubqKptorG2iqa66uZ11jDs5c2c3SL+z+sdDjBmE1C3+AQ29v7eLK9l+3tfTyxp5dbHtzJA9s66R0cetr+TbVV1NdUsmh2HSccNZvG2koaaqporK1k9cImlsypZ0FTLcvm1lNdWVGEMzLLjhOMzVgDueH9neEjHeMd6StZl2NfT9JJvq29j+3tvfvHw8p30tJmLjh9OUua61nUXMeiploWzq7jqNl11Ne4tmEzlxOMlbyIoGdgiH29g+ztHmBfzyB7ewbY1zPA3p4kYfQMDtHRO8jOjn52dPbR1tlPz8DTaxz56qoraK6vZn5jLUua63juyjksbk6e+1jcXMdR6auhxv8ZmY3F/2XYEWVoOOjqz9Hdn2NvzwBP7utjb/cAe9Nk0d47wN7ukQRy4O/A0PC4x6yvrqSxtpJZtVUsnF3Hc5bNYWFTLXMbqg90iNdXM7tu5H3S7+HRec0OjxOMZSo3NLy/ZrEnTRQ7Ovr3v9/TPcDurgG27OthX88gXf25CW+3ndNQw5z6auY21LByfgOnLJ/DnMbkAcC5DdXMaUj+zm1M9mtucKIwKxYnGJvQ0HCwp3uA9t4BuvqTZy52dvTROzBE7+AwvQM5ugeG6BkYoje9O6p7IMfOjn52prfbjmdOQzXzGmqY21jDaSvm7r/Fdnbdgbunls6pZ15jsk9jTaVvtzUrIU4wM8DQcNDZN0hHb25/h3ZbZz/7egbo7MvR2Z9L/vYN7v/b3ju4/yG+vsHxm5+kpAmqoaaS+ppKGqqraKit5NgFszjz2PnMa6xJEkRD8ndOQzULm+qY21BNle+aMitrTjAlZGg46ElrCV39uaRmkTYrdfbnaO8Z4Ik9vWzv6GN3dz97u5MO7s7+3ITHra2qoKkuqTk01VXRVFfN4uZ6Gmsraa6vZvm8Bprrq5lVW8Xs+mqWzKmnobqSuupK6qorXKswszE5wUyzvsEhtuztYUdHMi1s3+AwXf2D7OsZZF9v8re9d4D23qQ20ZH+7erP0Z8bvyYxomVWDUvm1NMyq5bjFzbR3JDfeZ33hPesWuY11jCrtoqaKtckzGzqOcFMgcGhYXoGhugbTJqUNu3sYnt7Hzs7+9m6r5edHX3poIP9Txv6PF9VRdqJ3VC9/+ntVfMbaaqrYlZtFQ01VTTUVNJQW0ljTdX+pqdZdcmDe7Prqv2Ut5kdMZxgRokI9vUMsj2dL3zrvl6e2NNDW1c/nX3J7bNd/ckYUV3p+/Gep6ipqmBJ+qzEiUtmM7+xhgVNtRzVXM+yufX7m5ia6qqZU19NgzuxzayMzNgE094zyN1b2/nVpl1sS4f9GEkqo5uiaqoqWDCrNu2fSGoOK+Y10FRXRWNN0i8x0sk9q7YqHQKkjub6aicMM5uxZlSCeWx3N1f+8D627uvlge2dAFQIls1t4KjZdZy8bA5/9KxkiI9kzvA6lqZjRXmmPjOzyck0wUg6F/gMUAl8MSL+cdT2WuA/gecCu4E/i4jNWcSyvb2Pd35tAw9s7+Ss41p4/ysWc5yj8IEAAA1qSURBVPyiWbzguBaa66uz+Eozs5KRRXmdWYKRVAlcDZwDbAHWSVobEffl7fZ2YG9EHCfpAuCTwJ9lEc9165/goZ1dfPy8Z3HRC1Zl8RVmZiUpq/I6y/tTTwc2RcQjETEAXAucP2qf84Gvpu+/DbxcGXVavOdlx/GLy17i5GJm9nSZlNdZJpilwBN5y1vSdWPuExE5oB2YP/pAki6RtF7S+ra2tkMKRhKrWhoP6bNmZmWgZaQcTV+X5G2bsvI6X0l08kfEGmANQGtr6zhDIZqZ2QR2RUTrdH5hljWYrcDyvOVl6box95FUBTSTdB6Zmdn0yaS8zjLBrANWSzpaUg1wAbB21D5rgYvS928Efhkx3mDtZmaWkUzK68yayCIiJ+ndwE0kt71dExH3SroSWB8Ra4EvAV+TtAnYQ3JSZmY2jbIqr1VqFYbW1tZYv359scMwMyspkjaUUx+MmZnNYE4wZmaWiZJrIpPUBjx2iB9vAXZNYThHmnI+P59b6Srn8yulc1sZEQum8wtLLsEcDknrp7sNcjqV8/n53EpXOZ9fOZ/bVHATmZmZZcIJxszMMjHTEsyaYgeQsXI+P59b6Srn8yvncztsM6oPxszMps9Mq8GYmdk0cYIxM7NMzJgEI+lcSRslbZJ0ebHjmSxJyyXdLOk+SfdKem+6fp6kn0l6KP07N10vSZ9Nz/cuSacV9wwOTlKlpN9L+lG6fLSk36Xn8K10ED4k1abLm9Ltq4oZdyEkzZH0bUkPSLpf0pnlcu0kvT/9N3mPpP+SVFfK107SNZJ2Sronb92kr5Wki9L9H5J00VjfVe5mRILJmw70VcCJwIWSTixuVJOWAz4QEScCZwB/nZ7D5cAvImI18It0GZJzXZ2+LgH+ffpDnrT3AvfnLX8S+JeIOA7YSzJlK+RN3Qr8S7rfke4zwI0R8UzgZJLzLPlrJ2kpcCnQGhHPJhkocWQ63VK9dl8Bzh21blLXStI84G+B55PMFvm3I0lpRomIsn8BZwI35S1/GPhwseM6zHP6Acn82RuBxem6xcDG9P0XgAvz9t+/35H4Ipl/4hfAy4AfASJ5Qrpq9DUkGfH1zPR9Vbqfin0OE5xbM/Do6BjL4dpxYJbDeem1+BHwR6V+7YBVwD2Heq2AC4Ev5K1/yn4z5TUjajAUNh1oyUibFU4Ffgcsioht6abtwKL0famd878C/wcYTpfnA/simZoVnhr/pKduLbKjgTbgy2kT4BclNVIG1y4itgL/DDwObCO5Fhson2s3YrLXqmSuYZZmSoIpG5JmAd8B3hcRHfnbIvlfpZK771zSa4CdEbGh2LFkpAo4Dfj3iDgV6OZAEwtQ0tduLnA+SRJdAjTy9OalslKq16oYZkqCKWQ60COepGqS5PKNiPhuunqHpMXp9sXAznR9KZ3zC4HzJG0GriVpJvsMMCedmhWeGn+pTbW9BdgSEb9Ll79NknDK4dq9Ang0ItoiYhD4Lsn1LJdrN2Ky16qUrmFmZkqCKWQ60COaJJHMKHd/RFyVtyl/GtOLSPpmRta/Nb3L5QygPa+Kf0SJiA9HxLKIWEVybX4ZEX8B3EwyNSs8/dxKZqrtiNgOPCHpGemqlwP3UQbXjqRp7AxJDem/0ZFzK4trl2ey1+om4JWS5qa1vFem62aWYncCTdcLeDXwIPAw8JFix3MI8Z9FUi2/C7gzfb2apP36F8BDwM+Been+Irlz7mHgbpK7fIp+HgWc59nAj9L3xwC3A5uA64HadH1durwp3X5MseMu4LxOAdan1+/7wNxyuXbAx4EHgHuArwG1pXztgP8i6U8aJKl9vv1QrhXwl+l5bgLeVuzzKsbLQ8WYmVkmZkoTmZmZTTMnGDMzy4QTjJmZZcIJxszMMuEEY2ZmmXCCMRuHpK5J7n/2yEjQZuYEY2ZmGXGCMTuItGZyS958Lt9In1ofmWfoAUl3AH+S95nGdF6R29MBLs9P179f0jXp+5PSOVQainJiZhlzgjErzKnA+0jmEzoGeKGkOuA/gNcCzwWOytv/IyTDoJwOvBT4VDqC8meA4yS9Hvgy8M6I6Jm+0zCbPk4wZoW5PSK2RMQwyTA9q4Bnkgz0+FAkQ2J8PW//VwKXS7oTuIVkiJQV6ecvJhlS5b8j4rbpOwWz6VV18F3MDOjPez/Ewf/bEfCGiNg4xrbVQBfJ8PZmZcs1GLND9wCwStKx6fKFedtuAt6T11dzavq3Gfgs8GJgvqQ3YlamnGDMDlFE9JHMw/7jtJN/Z97mTwDVwF2S7k2XIZmH/uqIeJBklN5/lLRwGsM2mzYeTdnMzDLhGoyZmWXCCcbMzDLhBGNPIale0n9LqpyCY71vsg8RjjfciqSLJf3bYcTy60P9bBYkXSnpFRkcd//vJOldkt46wb5nS3rBVMcwGZIWSLqxmDFYdpxgbLS/BL4bEUOHc5A0Qb0POCKeUo+Iwy5IJU3Zbf0RcUVE/HyqjjfOd/z/EfGfE+xyNlDUBBMRbcA2SS8sZhyWDScYG+0vgB8ASFos6VZJd6ZDmrwoXX+hpLvTdZ8c+aCkLkmflvQHkifZlwA3S7o53f5KSb+RdIek6yXNStePOdzKGJanQ7Y8JOlv089eKel9eTH8naT3jv7gyMCVBxn25XmSfi3pD+kQL01pjWCtpF+SzMmOpA9JWifpLkkfz/uO70vaIOleSZek6yolfSX9re6W9P50/VdGblGWtFnSx9Pf5W5Jz0zXL5D0s/R4X5T0mKSWMc7tbZIelHQ78MK89R+T9MH0/aWS7ktjvlbSKuBdwPvT6/siSa+V9DslQ9v8XNKivONck/5uj0i6NO873poe8w+SvpYX93fS32jdSPKQ9JL0u+5Mv6MpPcz3Sf7dWbmJCL/8IiIAaoDtecsfAD6Svq8EmkiSxuPAApKHDX8JvC7dJ4A35X1+M9CSvm8BbgUa0+W/Aa4gecL9CZKHDwVcB/xojNguBrYB84F64B6gleSJ+jvSfSqAh4H5Y3y+K/17NtAOLEv3/w1wVnrujwDPS/ebnZ7fxcAWYF66/pXAmjTWCuBHwIvTbSP7jMQ3n2QImZ/lxTEn/fsV4I15v9N70vd/BXwxff9vwIfT9+emv2/LqPNanHc9aoDbgH9Lt30M+GD6/kmgdlQM+7eny3M5cGfp/wI+nbffr4Ha9DruJrkF+1nAg3nXeOT8vwmclb5fAdyfvv8h8ML0/SygKn2/FLi72P/+/Zr6l5/kt3wtwL685XXANZKqge9HxJ2SXgbcEknTBpK+QfLQ4PdJnnD/zjjHPoNkHK/b0gpDDUnhvn+4lfR4Xyd5tmQsP4uI3el+3yUpxP5V0m4lDzIuAn4/ss8Ebo+ILelxRoZ9aQe2RcQ6gIjoSLePfO+e9LOvTF+/T5dnkSTHW4FLlYwxBrA8Xb8ROEbS54AfAz8dJ6bvpn83cKAWdxbw+jSeGyXtHeNzz+ep1+NbwPFj7HcX8A1J3ye5VmNZBnxL0mKS6/No3rYfR0Q/0C9pJ8lv/TLg+ojYlcY48hu9Ajgx/e0AZqe11duAq9J/M98duQYkzw95VIMy5CYyy9dLUqMAICJuJUkeW4GvaIIO41RfjN93I5KC+pT0dWJEvH2S8Y1+aGtk+YskNY23AdcUcJzJDvvSnfdewD/kncdxEfElSWeTFKxnRsTJJAmoLiL2AieTjEf2rjTWiWIqJJ5D8cfA1cBpwDqN3Z/0OZLaz0nAO8n7t8DkfrMK4Iy832hpRHRFxD+S1IzqSf5H45np/nUk//aszDjB2H5pYVipZJRgJK0EdkTEf5AUjKcBtwMvkdSipCP/QuC/xzlkJ0mzGsBvSUYgPi49dqOk45l4uJXRzpE0T1I98DqS/yMG+B5JE9LzSIZ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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_epsilon(scaled_df, 3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Lessons:\n", " - Can cluster non-linear relationships very well; potential for more natural, arbritrarily shaped groupings\n", " - Does not require specifying the # of clusters (i.e., **k**); the algorithm determines such\n", " - Robust to outliers\n", " - Very sensitive to the parameters (requires strong knowledge of the data)\n", " - Doesn't guarantee that every (or ANY) item will be clustered\n", " \n", "
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Discussion #5:
When should we prefer one type of clustering over another? Should we always just try all of them? Imagine you work at Spotify and you want to create personalized playlists for each person. One could imagine a dataset exists whereby each row is a particular song, and the columns are features (e.g., tempo (BPM), average vocal frequency, amount of bass, sentiment of lyrics, duration in seconds, etc). Let's use clustering to group one's catalog of favorite music, which will serve as disjoint starting points for suggesting future songs. Specifically, imagine that you've 'liked' 500 songs on Spotify so far, and your recommendation algorithm needs to cluster those 500 songs. Would you first experiment with k-Means, Agglomerative, or DBScan? Why?" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 1 }