{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:26:56.727289Z", "start_time": "2017-07-11T19:26:56.449813Z" }, "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "from collections import Counter\n", "from custom import load_data as cf\n", "from custom import ecdf\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "from nxviz import CircosPlot\n", "import numpy as np\n", "\n", "\n", "%load_ext autoreload\n", "%autoreload 2\n", "%matplotlib inline\n", "%config InlineBackend.figure_format = 'retina'" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Load Data\n", "\n", "We will load the [sociopatterns network](http://konect.uni-koblenz.de/networks/sociopatterns-infectious) data for this notebook. From the Konect website:\n", "\n", "> This network describes the face-to-face behavior of people during the exhibition INFECTIOUS: STAY AWAY in 2009 at the Science Gallery in Dublin. Nodes represent exhibition visitors; edges represent face-to-face contacts that were active for at least 20 seconds. Multiple edges between two nodes are possible and denote multiple contacts. The network contains the data from the day with the most interactions." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:26:58.391902Z", "start_time": "2017-07-11T19:26:56.730458Z" }, "collapsed": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "# Load the sociopatterns network data. \n", "G = cf.load_sociopatterns_network()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:26:58.433094Z", "start_time": "2017-07-11T19:26:58.394090Z" } }, "outputs": [ { "data": { "text/plain": [ "(410, 2765)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# How many nodes and edges are present?\n", "len(G.nodes()), len(G.edges())" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Hubs: How do we evaluate the importance of some individuals in a network?\n", "\n", "Within a social network, there will be certain individuals which perform certain important functions. For example, there may be hyper-connected individuals who are connected to many, many more people. They would be of use in the spreading of information. Alternatively, if this were a disease contact network, identifying them would be useful in stopping the spread of diseases. How would one identify these people?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Approach 1: Neighbors\n", "\n", "One way we could compute this is to find out the number of people an individual is conencted to. NetworkX let's us do this by giving us a `G.neighbors(node)` function." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:31:43.408840Z", "start_time": "2017-07-11T19:31:43.369491Z" }, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "14" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Let's find out the number of neighbors that individual #7 has.\n", "len(list(G.neighbors(9)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**API Note:** As of NetworkX 2.0, `G.neighbors(node)` now returns a `dict_keyiterator`, which means we have to cast them as a `list` first in order to compute its length." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Exercise\n", "\n", "Can you create a ranked list of the importance of each individual, based on the number of neighbors they have? (3 min.)\n", "\n", "Hint: One suggested output would be a list of tuples, where the first element in each tuple is the node ID (an integer number), and the second element is the number of neighbors that it has.\n", "\n", "Hint: Python's `sorted(iterable, key=lambda x:...., reverse=True)` function may be of help here." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:26:58.521778Z", "start_time": "2017-07-11T19:26:58.475240Z" }, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "[51, 272, 235, 195, 161]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Possible Answers:\n", "sorted(G.nodes(), \n", " key=lambda x:len(list(G.neighbors(x))), reverse=True)[0:5]\n", "# sorted([(n, G.neighbors(n)) for n in G.nodes()], \n", "# key=lambda x: len(x[1]), reverse=True)[0:5]" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Approach 2: Degree Centrality\n", "\n", "The number of other nodes that one node is connected to is a measure of its centrality. NetworkX implements a **degree centrality**, which is defined as the number of neighbors that a node has normalized to the number of individuals it could be connected to in the entire graph. This is accessed by using `nx.degree_centrality(G)`" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:39:01.396421Z", "start_time": "2017-07-11T19:39:01.352941Z" }, "scrolled": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "[(100, 0.07090464547677261),\n", " (101, 0.03178484107579462),\n", " (102, 0.039119804400977995),\n", " (103, 0.06356968215158924),\n", " (104, 0.04156479217603912)]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# nx.degree_centrality(G)\n", "\n", "# Uncomment the next line to show a truncated version.\n", "list(nx.degree_centrality(G).items())[0:5]" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "If you inspect the dictionary closely, you will find that node 51 is the one that has the highest degree centrality, just as we had measured by counting the number of neighbors.\n", "\n", "There are other measures of centrality, namely **betweenness centrality**, **flow centrality** and **load centrality**. You can take a look at their definitions on the NetworkX API docs and their cited references. You can also define your own measures if those don't fit your needs, but that is an advanced topic that won't be dealt with here.\n", "\n", "The NetworkX API docs that document the centrality measures are here: http://networkx.readthedocs.io/en/networkx-1.11/reference/algorithms.centrality.html?highlight=centrality#module-networkx.algorithms.centrality" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Exercises\n", "\n", "The following exercises are designed to get you familiar with the concept of \"distribution of metrics\" on a graph.\n", "\n", "1. Can you create an ECDF of the distribution of degree centralities?\n", "2. Can you create an ECDF of the distribution of number of neighbors?\n", "3. Can you create a scatterplot of the degree centralities against number of neighbors?\n", "4. If I have `n` nodes, then how many possible edges are there in total, assuming self-edges are allowed? What if self-edges are not allowed?\n", "\n", "Exercise Time: 8 minutes.\n", "\n", "Here is what an ECDF is (https://en.wikipedia.org/wiki/Empirical_distribution_function)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Hint: You may want to use:\n", "\n", " ecdf(list_of_values)\n", " \n", "to get the empirical CDF x- and y-values for plotting, and \n", "\n", " plt.scatter(x_values, y_values)\n", " \n", "Hint: You can access the dictionary `.keys()` and `.values()` and cast them as a list.\n", "\n", "If you know the Matplotlib API, feel free to get fancy :)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:26:59.170405Z", "start_time": "2017-07-11T19:26:58.582315Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "<matplotlib.text.Text at 0x119f11c18>" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { 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1mJT3G5AH5a2h/o2UYj+Q9/N9rbz3+B/Jm4pzVN58/Xslfc3lWOYSQPyYcyy3CqCy+btn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\nAID8kYAAAACAmGLOOkLRP5zgZlAAAIA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"text/plain": [ "<matplotlib.figure.Figure at 0x10dbff2b0>" ] }, "metadata": { "image/png": { "height": 263, "width": 373 } }, "output_type": "display_data" } ], "source": [ "# Possible Answers:\n", "fig = plt.figure(0)\n", "# Get a list of degree centrality scores for all of the \n", "# nodes in the graph\n", "degree_centralities = list(\n", " nx.degree_centrality(G).values())\n", "x, y = ecdf(degree_centralities)\n", "# Plot the histogram of degree centralities.\n", "plt.scatter(x, y)\n", "# Set the plot title. \n", "plt.title('Degree Centralities')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:26:59.581660Z", "start_time": "2017-07-11T19:26:59.173031Z" }, "scrolled": true, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "<matplotlib.text.Text at 0x11d6d57f0>" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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v8ORFbWu6OrRl7RKlU8kqjCyYsK6s/668kH5G0g8lLQtyEjO7RtIjkl4t6WuSjkpaI2mL\npJvNLO2cey6UEQMAAFRZnEJuEHELxrsOHtdv7zmsKZe7vW/wpG7fcUD33rJCt66+KrJxlSOssP5R\neSF9QN4V9ocCnucL8oL6Zufc57JPmtln/D4+JekD5Q0VAACguuIWcoOIWzDuHRiddTxZU07q2fO4\nrlxwSexfYymkG0ydcw8554455wq8PPn5V9VvkjQk6fMzmj8p6UVJt5vZpYEHCgBAHeofGdOXegf1\nuf3H9KXeQfWPjFV7SJjFroPHtXHHgZxBXfJC7sYdB/SVg89EPLLilRqMewdGKz6m7fuPFRxP1pST\n7tt/rLIDCkmcbjC90d8+6Jybmt7gnBszs155Yf5NkvZHPTgAAOKmHq7ONpregVH17D6sQpnSOemO\n3fG9+hskGFfyz9E/Mpb3w08+BwZPqn9kLPbTjuJUuvFaf9ufpz378WdpoROZ2aFcDwWcSw8AQFSK\nvUq+6+Bxbby/wNXZ++N9dbYR3bPvSMGgnuUk/f6+I5UcTiDlBONKCXrlPoor/uWK05X1y/ztC3na\ns89fHsFYAACIVClXyXsHRnXH7sMFz+kkfTzGV2cbTf/ImI4OlxZYnxgei93V33KCcaX+HGfGM5Ee\nF6U4XVkPjXNuVa6HvOoyAADESqlzmHt2P17S+X97T2n7ozL2PnYi0uMqJY7BeH5rsOvPQY+LUpxG\nmL1yflme9uzzz0cwFgAAQlGoNF+pc5idnJ45da6kMRw/eS52V2cb0dFnT0d6XKXEMRgH/c1RLfzG\nKU5h/Ul/m29O+hJ/m29OOwAAFVVKTexip7WUOof5D/7hiUBj3/HwoLa9e0WgY4Hp4hiMly5s05qu\njpLm0nd3ddTEB9g4hfVsbfabzKxpekUYM2uTlJZ0VtL3qjE4AEDjKrXqSrH1pz/ytqUlz2F+IeBU\ngkePl3ZDIMK37DVteujJHwc6Lk7iGoy3rF2i23ccKKpKTZNJm9cuKbxjDEQ+Z93MWsxsmV9X/QLn\n3FOSHpS0WNKHZhx2l6RLJX3ZOfdiJAMFAEClzycvpf70Z74V3S+LM5OBl0JBSNavXBTpcZW0Ze0S\nNVlx+0YVjNOppD59y3UFx9Vk0r23rKiJKTBSSFfWzewXJP2C/22nv32zmT3gfz3qnPtN/+srJT0h\n6Wl5wXy6D0p6RNJ9ZrbW369bXg32fkmfCGO8AABI4c8nv3LBJSXVn47Sf7n8kmoPoeEtXdimazvb\n9GQJv01Z1tkWy6ka2WBc6INp1MH4ttVXa9GCebpv/zEdyPEBu7urQ5trbP2BsKbBvEHSr8x47rX+\nQ/KC+W+qAOfcU2b2Rkl3S7pZ0jskPStpu6S7nHOnQhovAKDOxGE++da9h/WD584G/0NU0K/89OJq\nDwGSfm/dcm28/0BR7yuTtHXd8koPKbC4BuN0Kql0KlnSvwlxZs7F8ON/hZjZoeuvv/76Q4cOVXso\nAICQhD2fXPKuBn7kbUsjnaZSiiZJUwX3etklLU164p63V2o4KNGug8cL/sbGJG3bsEK3rr4qqmGV\npV6CcZhWrVqlRx999FG/fHhgcbrBFACAC4r5z3/XwePq2XNY+a47ZeeTb7vFCz1xnU9eqjWv7dD3\nflD8zX0feVvBxb8RobhekS7H0oXxnK5TDwjrAIBYKfZKeT3NJy/V3e/6Sf3Zd57S7kcLL5bzi6sW\n6f1vuabgfohWvU3VQOUQ1gEAsVHKlfIv9g7WzXzyUmRvOPyjW9+gpQvb9CcPDWgsRznHttaEPnxj\niqAec1yRRiGEdQBALJRypfzjux8v+fxRBfW2uQmNvVR8LfRlfnWQIDccvv8t1+j9b7lGD35/WHse\n/aHGxjNqa03olusX6abXd+Y/EYCaQVgHAESi0K/7S6m8Emc3LHuV/uHxZ4temGXruuX64amzRd9w\nmGse802v7yScA3WKsA4AqKhi5qC/qm1uySt5xtWvv3WJfiaVLLn+dL3dcAggHIR1AEDFFCpR1zd4\nUhvvP6C3XPuqSMdVKdn55EsXtpUcvrnhEEAuhHUAQEX0Dozqjt2HC+7nJH37yR9XfkCSXnNZq559\nYbzo/cuZTx40fHPDIYDpCOsAgJIVE0B7AtwEWmkfeduSouqsS+HNJyd8AygHYR0AULRia6D3j4zp\nmVPnqjDC/JZ1tum21VdLEvPJAdQMwjoAoCil1EA/9PSpaAdXwPQpKkFWj2Q+OYBqIawDAAoqdbXQ\nV7XNjWRcN1yb1HeeHC15igrzyQHUCsI6AKCgUmqgO0mjZ16q5HAu+J13LNd7f/alwFNUCN8A4o6w\nDgCYVf/IWMk10Iu5gbNc08skMkUFQL0irAMAZrX3sRPVHsJFZpZJlLhKDqA+NVV7AACAeDs0FN3N\nojdcm5QV2Ge2MokAUG+4sg4AmHUKyfDp4hcRKle5c9ABoN4Q1gGggRVTN30iMxXo3M1N0mQJhzIH\nHQAuRlgHgAZVbN30ttZg/1W0t7bo+bPni6oiwxx0AMiNOesA0IAu1E0vkKSdk06fywTqY26iWfdu\nuI456ABQBq6sA0ADKqVuejmCrBYKAHgZYR0AGkyQuulBzEl419SDrhYKACCsA0DDiapuemd76yu+\nZw46AJSOOesA0GCiqpu+avGCSPoBgHpGWAeABhNV3fT1KxdF0g8A1DOmwQBAnSk0N/zsS+crPoZs\nzXQAQHkI6wBQJ4pZ4CidSmpisrJ1YHLVTAcABENYB4A6UOwCR9tuWaGpgFl9bqJJE5mpWUs+UjMd\nAMLFnHUAqHGlLHB0x+7HNTk1FaifuYkm7dzUre6ujpzt3V0d2rmpW7euvirQ+QEAF+PKOgDUuFIW\nOHKSJs4HC+stzU3UTAeAiBHWAaCGBVngaDJgX5fObb7wNTXTASAaTIMBgBoW1QJH0sWLHAEAKo+w\nDgA1LKoFjiQWOQKAaiCsA0ANi2qBI4lFjgCgGgjrAFDDJjLBbhZtLvFffxY5AoDq4AZTAIi5SlRe\naW9t0fNnzxdVRYZFjgCgegjrABBTxaxIGtTcRLPu3bDMq88+y34scgQA1UVYB4AY2nXw+KxBum/w\npDbef0BtlwT/Z/y21Vdr0YJ5um//MR3I8YGgu6tDm9cuIagDQBUR1gEgZnoHRnXH7sMF93OSTp/L\nlNUXixwBQLwR1gEgZnp2Px55nyxyBADxRDUYAIiR/pExPXPqXMX7mZOwivcBACgfYR0AYmTHw4OR\n9MNqpABQGwjrABAj3/3BaCT9sBopANQGwjoAxMgLZd4wWixWIwWA2kBYB4AYca6YZYrKw2qkAFA7\nCOsAECMtzZX9Z5nVSAGgtlC6EQAiVKieedCw3t6a0Nh4htVIAaDOENYBIAK9A6Pavv+Y+nKsFLqm\nq0NbylwpdN6chP504ypWIwWAOkNYB4AK23XwuHr2HFa+6eh9gye1cccBbbtlRVn9sBopANQfwjoA\nVFDvwKh6dh+edXqKJDkn3bH7cS2YV/4/y6xGCgD1gxtMAaCC7tl3pGBQz3KSTkdUuhEAUBsI6wBQ\nIf0jYzo6PFbSMZmAlRvnJCzYgQCAWCOsA0CF7H3sRGR9dba3RtYXACA6hHUAqJBDQ6ci62vV4gWR\n9QUAiA5hHQAqZPj0eGR9rV+5KLK+AADRoRoMAJRhtjKJE5mpQOdsbpImSzh0WSfVXwCgXhHWASCA\nYhY5Cqq9tUXPnz1fVBUZk7R13fLAfQEA4o1pMABQol0Hj2vjjgM5g7r08iJHZ146H+j8zSbdu+E6\nFarvYpK2bVjBqqQAUMe4sg4AJShlkaMzL00G6mNi0um21Vdr0YJ5um//MR3I8aGgu6tDm9cuIagD\nQJ0jrANACUpZ5CioKb+DdCqpdCo567x4AEB9I6wDQJGCLHIURMuMCYpLF3IDKQA0KuasA0CRolrk\n6MoF8yLpBwAQf6GFdTNbZGZfNLMfmdlLZjZkZp81s5JW6jCznzezB83sh2Z2zsx+YGZ/a2ZvDmus\nABBEVIsc/exS5qEDADyhTIMxs2skPSLp1ZK+JumopDWStki62czSzrnnijjPNkkfl/ScpK9KGpWU\nkvQuSRvM7JedczvDGDMA5DLb/PCoFjligSMAQFZYc9a/IC+ob3bOfS77pJl9RtJHJX1K0gdmO4GZ\ndUr6TUkjklY45/5zWtuNkv5Z0t2SCOsAQldM3fSgixyVggWOAADTlT0Nxr+qfpOkIUmfn9H8SUkv\nSrrdzC4tcKqf8MdzYHpQlyTn3EOSxiS9qtzxAsBMxdZNP3s+U9FxsMARAGCmMOas3+hvH3TOveKy\nk3NuTFKvpHmS3lTgPMckTUhaY2avmLBpZv9VUpukfwphvABwwYW66QXqMTonnT4XLKy3tyZY4AgA\nEEgY02Cu9bf9edqPybvyvlTS/nwncc6dNLM7JH1G0hEz+6q8uevXSHqnpG9Jen8xAzKzQ3malhVz\nPIDGEUXd9HlzEvrTjatY4AgAULIwwvpl/vaFPO3Z5y8vdCLn3GfNbEjSFyW9d1rTgKQHZk6PAYBy\nRFU3fU7CWOAIABBIrBZFMrOPS/oDSfdJ+hNJw/Kuhn9a0l+b2Ruccx8vdB7n3Ko85z8k6frwRgyg\nlkVVN72zvfXC1yxwBAAoRRhz1rNXzi/L0559/vnZTmJmN0jaJunrzrnfcM79wDl31jn3qKT1kk5I\n+piZvTaEMQNAZHXTVy0uabkJAAAuCCOsP+lvl+ZpX+Jv881pz1rnbx+a2eCcOyupT954V5Y6QADI\nhbrpAIC4CyOsZ8P1TWb2ivOZWZuktKSzkr5X4Dxz/W2+8ozZ5yeCDBIAZqJuOgAg7soO6865pyQ9\nKGmxpA/NaL5L0qWSvuyce1GSzKzFzJb59dmne9jfvs/MrpzeYGZvlxf6x+WtlAoABfWPjOlLvYP6\n3P5j+lLvoPpHXnkzaWZysqL9UzcdAFCusG4w/aC8EH2fma2V9ISkbnk12PslfWLavlf67U/LC/hZ\nfyevjvrbJD1hZnvl3WD6OnlTZExSj3PuuZDGDKBOFbMaaTqV1MRksKKNrYkmvZSZmrXkI3XTAQBh\nCGMaTPbq+hslPSAvpH9MXn307ZLeVEzA9hdUeoekj0o6Iu+m0o/JW0zpG5J+zjm3PYzxAqhfxa5G\n+pWDz2gqYIH1RHOTdm7qVndXR8727q4O7dzUrVtXXxWsAwAAfKGVbnTOPSPpPUXsNyTlXszPOXde\n0mf9BwCU5MJqpAX2c066Y/fjam0Jdr2iyUTddABAJGJVZx0AylHKaqRO0sT5YDeYtjS/HPKpmw4A\nqKRQpsEAQLUFWY006O2ll85tDngkAAClIawDqAtRrUYqvXJFUgAAKomwDqAuRLUaqcSKpACA6BDW\nAdSFqFYjlViRFAAQHW4wBVAzZqu8EnQ10uYmabKEQ1mRFAAQJcI6gNgrZpGjoNpbW/T82fNFVZFh\nRVIAQNSYBgMg1opd5Ojs+Uyg889NNOveDdflXvxhGlYkBQBUA1fWAcRWKYscnT4XLKxL0m2rr9ai\nBfN03/5jOpDjQ0F3V4c2r11CUAcARI6wDiC2SlnkqFysSAoAiCPCOoBYCrLIURBzEq+cAMOKpACA\nOGHOOoBYimqRIxY4AgDEGVfWAVRFoekmD/f/OJJxsMARACDOCOsAIlVMGcZ0KqkTz5+LZDwscAQA\niDPCOoDI7Dp4XD17DsvluWs0W4Zx2y0rdH6y8reWssARACDumLMOIBIXyjAWyODOSXfsflyTU8FW\nJC0WCxwBAGoBYR1AJEopw+gkTZwPFtYvndPMAkcAgLpBWAdQcUHKME4G7OuK+XO0c1O3urs6crZ3\nd3Vo56Zu3br6qoA9AAAQHeasA6i4qMowSl4pRhY4AgDUC8I6gIo7NHQqsr6ml2JkgSMAQK1jGgyA\nihs+PR5ZX5RiBADUE8I6gIqbyAS7WbS5xH+hKMUIAKg3hHUAsdXe2lKwsksWpRgBAPWIsA4gtuYm\nmnXvhusoxQgAaFjcYAog1m5bfbUWLZin+/Yf04HBkxe1d3d1aPPaJQR1AEBdIqwDiD1KMQIAGhVh\nHUDNoBQjAKDRMGcdAAAAiCnCOoCKy0xORnocAAD1grAOoOImJl2kxwEAUC+Ysw4gFLPd/DkVMHMH\nPQ4AgHo2Fk+dAAAgAElEQVRBWAdQlt6BUW3ff0x9Ocoqrunq0Ja1S9RU7MpGMwQ9DgCAekFYBxDY\nroPH1bPnsFyeK+B9gye1cccBzZvTHOj8Lc3M1AMANDbCOoBAegdG1bP7sArNVHFOevGlYDeKEtYB\nAI2O/wkBBHLPviMFgzoAACgPYR1AyfpHxnR0eKzi/cxJMGkdANDYCOsASrb3sROR9NPZ3hpJPwAA\nxBVhHUDJDg2diqSfVYsXRNIPAABxRVgHULLh0+OR9LN+5aJI+gEAIK4I6wBKNpGZqngfyzrbLiyq\nBABAoyKsA4gdk7R13fJqDwMAgKojrAOITHtrQoXqu5ikbRtWKJ1KRjEkAABijbAOIDLz5iS0c1O3\nurs6crZ3d3Vo56Zu3br6qohHBgBAPLGCKYCSZSaDrUiamZxUOpVUOpVU/8iYegdGdWY8o/mtCaVT\nSeaoAwAwA2EdQE6zhemJyWBrl04/bulCbiAFAKAQwjqAV+gdGNX2/cfUN3jyorY1XR3asnaJpoJl\n9cDHAQDQqAjrAC7YdfC4evYclssTqvsGT2rjjgOa21zoNtHcmoIdBgBAwyKsA5DkXVHv2X1YhS5+\nOyeNZ4JdIm9p5p52AABKwf+cACRJ9+w7UjCol4uwDgBAafifE4D6R8Z0dHis4v3MSTAPBgCAUhDW\nAWjvYyci6aezvTWSfgAAqBeEdQA6NHQqkn5WLV4QST8AANQLwjoADZ8ej6Sf9SsXRdIPAAD1grAO\nQBOZqYr3sayTRZAAACgVYR1AxZmkreuWV3sYAADUHMI6gMDaWxMqVN/FJG3bsELpVDKKIQEAUFcI\n6wACmzcnoZ2butXd1ZGzvburQzs3devW1VdFPDIAAOoDK5gCKEs6lVQ6lVT/yJh6B0Z1Zjyj+a0J\npVNJ5qgDAFAmwjqAUCxdyA2kAACEjWkwAJSZnIz0OAAAUBzCOgBNTLpIjwMAAMUhrAPQVMDMHfQ4\nAABQnNDmrJvZIkl3S7pZ0hWSnpX0VUl3OedKWsvczNZK+rCkN0taIOk5SYclbXfOfSOsMQONotDN\nn02F6i/mEfQ4AABQnFDCupldI+kRSa+W9DVJRyWtkbRF0s1mlnbOPVfkuf5Q0m9J+qGkr0salfQq\nSask3SCJsA4UqXdgVNv3H1Pf4MmL2tZ0dWjL2iVKp5JqaQ72S7agxwEAgOKEdWX9C/KC+mbn3Oey\nT5rZZyR9VNKnJH2g0EnM7L3ygvpfSnqfc25iRntLSOMF6t6ug8fVs+ewXJ6pKn2DJ7VxxwFtu2UF\nYR0AgJgq+39a/6r6TZKGJH1+RvMnJb0o6XYzu7TAeebKC/XHlSOoS5Jz7ny54wUaQe/AqHp25w/q\nWc5Jd+x+XBOZTDQDAwAAJQnjstiN/vZB59zU9Abn3JikXknzJL2pwHn+m7zpLnskTZnZz5vZHWa2\nxczeHMI4gYZxz74jKvbeTyfp9DnCOgAAcRTGNJhr/W1/nvZj8q68L5W0f5bzrPa345Iek/ST0xvN\n7F8kvds59+NCAzKzQ3malhU6Fqh1/SNjOjo8VtIxmYBVXeYkuMMUAIBKCuPK+mX+9oU87dnnLy9w\nnlf729+Sd7HvZyW1SVoh6UFJ/1XS3wYfJtAY9j52IrK+OttbI+sLAIBGFFrpxhBkPzhkJL3TOTfk\nf3/YzNZLelLSW8zszc657852IufcqlzP+1fcrw9pvEAsHRoqqVJqWVYtXhBZXwAANKIwrqxnr5xf\nlqc9+/zzBc6TbX9sWlCXJDnnzkr6pv/tmlIHCDSS4dPjkfW1fuWiyPoCAKARhRHWn/S3S/O0L/G3\n+ea0zzxPvlCfvVx4SZHjAhrSRGaq8E45lFqFcVln2ysWVgIAAOELI6w/5G9vMrNXnM/M2iSlJZ2V\n9L0C59kvb6768pnn8WVvOB0sY6wA8mhvbVGxt4uapK3rlldyOAAAQCGEdefcU/JuAF0s6UMzmu+S\ndKmkLzvnXpS8hY3MbJlfn336eZ6W9PeSrpa38ukFZnaTpJ+Td9X9H8sdM4CLzU00694N1xUM7CZp\n24YVSqeSUQwLAICGFtYNph+U9Iik+8xsraQnJHXLq8HeL+kT0/a90m9/Wl7An+5DklZK+oyZ/by8\nEo5dkn5B0qSkTc65fFVnAJTpttVXa9GCebpv/zEdGDx5UXt3V4c2r11CUAcAICKhhHXn3FNm9kZJ\nd0u6WdI7JD0rabuku5xzRZWncM790MxWSfo9Se+UV67xtLwr7p92zvWFMV6gnmUmJ8s6Lp1KKp1K\nqn9kTL0DozozntH81oTSqSRz1AEAiFhopRudc89Iek8R+w1J+X/T7i969Ov+A0CJJiaDrXA087il\nC7mBFACAagvjBlMAMTIVcDXSoMcBAIDKIawDdaap2JIuIR0HAAAqh7AO1JmWUguml3kcAACoHP53\nBuoMYR0AgPrB/84AAABATBHWAQAAgJgirAMAAAAxRVgHAAAAYoqwDgAAAMRUaCuYAojOg98f1p5H\nf6ix8YzaWhO65fpFuun1ndUeFgAACBlhHaghf/adp/QnDw1obDzziuf/8fsjamtN6MM3pqo0MgAA\nUAmEdaBGfOwr/6bdj57I2z42ntGn/+9RXZJgdhsAAPWC/9WBGvBn33lq1qA+3bnMVIVHAwAAokJY\nB2rAZ//pWLWHAAAAqoCwDsTcg98f1rnzkxXvZ07CKt4HAAAoDWEdiLm//O5QJP10trdG0g8AACge\nYR2IuaHRs5H0s2rxgkj6AQAAxSOsAzF3diJTeKcQrF+5KJJ+AABA8QjrQMw1WeXnki/rbNPShW0V\n7wcAAJSGsA7EXEtzZf+amqSt65ZXtA8AABAMYR2oU+2tCRW6Jm+Stm1YoXQqGcWQAABAiQjrQJ2a\nNyehnZu61d3VkbO9u6tDOzd169bVV0U8MgAAUKxEtQcAoHLSqaTSqaT6R8bUOzCqM+MZzW9NKJ1K\nMkcdAIAaQFgHGsDShdxACgBALWIaDAAAABBThHUAAAAgpgjrAAAAQEwxZx2oMm7+BAAA+RDWgSrp\nHRjV9v3H1Dd48qK2NV0d2rJ2CfXPAQBocIR1oAp2HTyunj2H5Vzu9r7Bk9q444C23bIi2oEBAIBY\nYc46ELHegVH17M4f1LOck+7Y/bjOns8E6iczORnoOAAAEB+EdSBi9+w7ogI5/QInaexcsLA+MVls\nLwAAIK4I60CE+kfGdHR4rKRjAkduC3ogAACIC8I6EKG9j52IrK/LL2mJrC8AAFAZhHUgQoeGTkXW\n15uvuSKyvgAAQGUQ1oEIDZ8ej6yvX/uZ10bWFwAAqAzCOhChicxUoOOaSpx/ftWCS1hYCQCAOkBY\nB2rAZSXOP793A/XZAQCoB4R1oAbMTTRr24britr3DzesYOVTAADqBCuYAjXittVXa9GCebpv/zEd\nGDx5UXt3V4c2r11CUAcAoI4Q1oGQ9Y+MqXdgVGfGM5rfmlA6lQxt/ng6lVQ6laxoHwAAID4I60BI\negdGtX3/MfXluOq9pqtDW9YuCa2vpQvbCOcAADQAwjoQgl0Hj6tn9+G8q432DZ7UxvsPqO0S/soB\nAIDikRyAMvUOjOqO3YcL7ucknT6XqfyAAABA3aAaDFCmnt2PV3sIAACgThHWgTL0j4zpmVPnKt7P\nnESJqyIBAIC6QFgHyrDj4cFI+ulsb42kHwAAEC+EdaAM3/3BaCT9rFq8IJJ+AABAvBDWgTK8ENEN\no+tXLoqkHwAAEC+EdaAMzuUr1hieZZ3UVAcAoFER1oEytDRX9q+QSdq6bnlF+wAAAPFFWAfKEDSs\nt7cmVKi+i0natmGF0qlkoD4AAEDtI6wDVTBvTkI7N3Wru6sjZ3t3V4d2burWrauvinhkAAAgTljB\nFKiSdCqpdCqp/pEx9Q6M6sx4RvNbE0qnksxRBwAAkgjrwKyiCNJLF3IDKQAAyI2wDuTQOzCq7fuP\nqW/w5EVta7o6tGXtEuaSAwCAiiOsAzPsOnhcPXsOK19Vxr7Bk9q444C23bIi2oEBAICGww2mwDS9\nA6Pq2Z0/qGc5J92x+3FNZKJZFAkAADQmwjowzT37jqjYZY6cpNMRrWAKAAAaE2Ed8PWPjOno8FhJ\nx2QCLmA6J1GoyjoAAABhHbhg72MnIuurs701sr4AAEDtIqwDvof7fxxZX6sWL4isLwAAULtCC+tm\ntsjMvmhmPzKzl8xsyMw+a2aBU4mZbTQz5z82hTVWIJcTz5+LrK/1KxdF1hcAAKhdoZRuNLNrJD0i\n6dWSvibpqKQ1krZIutnM0s6550o851WS/kTSGUnzwxgnMJvzk8EmoJtU9E2pkrSsk0WQAABAccK6\nsv4FeUF9s3PuF5xzPc65t0r6Y0nXSvpUKSczM5P0JUnPSfpfIY0RmFVTwHs+L2lpUrGHmqSt65YH\n6wgAADScssO6f1X9JklDkj4/o/mTkl6UdLuZXVrCaTdLequk9/jHAxXX0hzsr8MlcxK6d8N1BQO7\nSdq2YQUrnwIAgKKFMQ3mRn/7oHNuanqDc27MzHrlhfk3Sdpf6GRm9jpJ90ra7pz7FzN7awhjBCR5\n5Rl7B0Z1Zjyj+a0JpVPJC1NSgob1luYm3bb6ai1aME/37T+mA4MnL9qnu6tDm9cuIagDAICShBHW\nr/W3/Xnaj8kL60tVIKybWULSlyUdl/Q7QQdkZofyNC0Lek7Utt6BUW3ff0x9OYL0mq4ObVm7pOw+\n0qmk0qnkrB8IAAAAShFGWL/M376Qpz37/OVFnOv3JK2U9DPOuehKc6Cu7Tp4XD17DsvluQu0b/Ck\nNu44oLbWUO631tKF3EAKAADCEU46CYGZdcu7mv5HzrnvlnMu59yqPH0cknR9OedGbekdGFXP7sMF\nq7U4J50+l4lkTAAAAMUKoxpM9sr5ZXnas88/n+8E/vSXv5I3lWZrCGMCJEn37DtSUllFAACAOAkj\nrD/pb5fmac9OBs43p13y6qgvlfQ6SePTFkJy8irKSNJf+M99tuwRoyH0j4zp6PBYxfuZkwhY8xEA\nAKCAMKbBPORvbzKzpukVYcysTVJa0llJ35vlHC9J2pGn7Xp589j/Vd4Hg7KmyKBx7H3sRCT9dLa3\nRtIPAABoPGWHdefcU2b2oLyKLx+S9LlpzXdJulTSnznnXpQkM2uRdI2k8865p/xznJO0Kdf5zexO\neWH9L51z95c7XjSOQ0OnIuln1eIFkfQDAAAaT1g3mH5Q0iOS7jOztZKekNQtrwZ7v6RPTNv3Sr/9\naUmLQ+ofuMjw6fFI+lm/clEk/QAAgMYTxpx1+VfI3yjpAXkh/WPyrp5vl/Qm59xzYfQDlGIiM1V4\npzIt66RMIwAAqJzQSjc6556R9J4i9huSCq7MPn3/OyXdGXRcQKWYpK3rlld7GAAAoI6FcmUdiKPM\n5GSg4+bPaS74adIkbduwQulUMlAfAAAAxSCso25NTAarsN7UZNq5qVvdXR0527u7OrRzU7duXX1V\nOcMDAAAoKDYrmAJhmwq4GtKUk9KppNKppPpHxtQ7MKoz4xnNb00onUoyRx0AAESGsI661RRwraLp\nxy1dyA2kAACgegjrqGmzXfluaQ42yyvocQAAAGEjrKMm9Q6Mavv+Y+obPHlR25quDm1Zu4SwDgAA\nah5hHTVn18Hj6tlzWC7PnPS+wZPauOOA2lp5ewMAgNpGmkFN6R0YVc/uwyp076hz0ulzmUjGBAAA\nUCn8vh815Z59RwoGdQAAgHpBWEfN6B8Z09HhsYr3MycRsIwMAABAyAjrqBl7HzsRST+d7a2R9AMA\nAFAIYR0149DQqUj6WbV4QST9AAAAFEJYR80YPj0eST/rVy6KpB8AAIBCCOuoGROZqYr3sayTFUsB\nAEB8ENYBn0naum55tYcBAABwAWEdda+9NaFC9V1M0rYNK5ROJaMYEgAAQFEI66gZmcnJQMfNaTbt\n3NSt7q6OnO3dXR3aualbt66+qpzhAQAAhI4VTFEzJiaDLYc0MemUTiWVTiXVPzKm3oFRnRnPaH5r\nQulUkjnqAAAgtgjrqBlTAZcunX7c0oXcQAoAAGoH02BQM5oCLiwa9DgAAIBqI6yjZrQ0B3u7Bj0O\nAACg2kgxqBmEdQAA0GhIMQAAAEBMEdYBAACAmCKsAwAAADFFWAcAAABiirAOAAAAxBRhHQAAAIgp\nwjoAAAAQU4R1AAAAIKYI6wAAAEBMEdYBAACAmCKso2ZkJicjPQ4AAKDaCOuoGROTLtLjAAAAqi1R\n7QEAWf0jY+odGNWZ8YzmtyaUTiW1dGHbhfapgJk76HEAAADVRlhH1fUOjGr7/mPqGzx5Uduarg5t\nWbtE6VRSTRbs/EGPAwAAqDbCOqpq18Hj6tlzWC7P1e++wZPauOOAtt2yQi3NwWZtBT0OAACg2kgx\nqJregVH17M4f1LOck+7Y/bicmwrUD2EdAADUKlIMquaefUdU7HRyJ+n0uUwlhwMAABA7hHVURf/I\nmI4Oj5V0TCbgjaJzEkxaBwAAtYmwjqrY+9iJyPrqbG+NrC8AAIAwEdZRFYeGTkXW16rFCyLrCwAA\nIEyEdVTF8OnxyPpav3JRZH0BAACEibCOqpjIBKvsUmphl2Wdba9YWAkAAKCWENZRU9pbW1Ts7aIm\naeu65ZUcDgAAQEUR1lFT5iaade+G6woGdpO0bcMKpVPJKIYFAABQEaxgippz2+qrtWjBPN23/5gO\nDJ68qL27q0Ob1y4hqAMAgJpHWEdNSqeSSqeS6h8ZU+/AqM6MZzS/NaF0KskcdQAAUDcI66iKzORk\nKMctXcgNpAAAoH4xZx1VMTEZbDnSoMcBAADUIsI6qmIqYOYOehwAAEAtIqyjKpqKrb8Y0nEAAAC1\niLCOqmgpdXWjMo8DAACoRSQfVAVhHQAAoDCqwaBiKKsIAABQHsI6Qtc7MKrt+4+pL8eCRWu6OrRl\n7ZIqjAoAAKD2ENYRql0Hj6tnz2G5PFVb+gZPauOOA2pr5a0HAABQCIkJoekdGFXP7sMqVF3ROen0\nuUwkYwIAAKhl3K2H0Nyz70jBoA4AAIDiEdYRiv6RMR0dHqt4P3MSFFoHAACNg7COUOx97EQk/XS2\nt0bSDwAAQBwQ1hGKQ0OnIuln1eIFkfQDAAAQB4R1hGL49Hgk/axfuSiSfgAAAOIgtLBuZovM7Itm\n9iMze8nMhszss2ZW1KVQM7vCzDaZ2V4zGzCzc2b2gpn9q5n9mpnxwSLGJjJTFe9jWWcbiyoBAICG\nEkrpRjO7RtIjkl4t6WuSjkpaI2mLpJvNLO2ce67AaX5R0p9KelbSQ5KOS1oo6RZJ90t6u5n9onP5\nKnijmjKTkxU9v0naum55RfsAAACIm7DqrH9BXlDf7Jz7XPZJM/uMpI9K+pSkDxQ4R7+kd0r6B+fc\nhcu0ZvY7kvokbZAX3HeHNGaEaGIy2Geo1kSTXspMzVry0SRt27BC6VQyUB8AAAC1quypJf5V9Zsk\nDUn6/IzmT0p6UdLtZnbpbOdxzv2zc+7vpwd1//lhSf/L//aGcseLypgK+PuORHOTdm7qVndXR872\n7q4O7dzUrVtXX1XG6AAAAGpTGFfWb/S3D+YI2mNm1isvzL9J0v6AfZz3t0Ute2lmh/I0LQvYPwpo\nClj+vMmkdCqpdCqp/pEx9Q6M6sx4RvNbE0qnksxRBwAADS2MsH6tv+3P035MXlhfqgBh3cwSkn7Z\n//YfSx4dQlEoSLc0B/slzfTjli7kBlIAAIDpwgjrl/nbF/K0Z5+/POD575X0k5K+4Zz7ZjEHOOdW\n5Xrev+J+fcBxNKTegVFt339MfYMnL2pb09WhLWuXKJ1KhhLWAQAA8Eph3WBaEWa2WdLH5FWXub3K\nw2k4uw4eV8+ew8pXf6dv8KQ27jigbbesiHZgAAAADSKMy5rZK+eX5WnPPv98KSc1sw9L2i7piKQb\nnXMXX9pFxfQOjKpnd/6gnuWcdMfuxzWRKep2AgAAAJQgjLD+pL9dmqd9ib/NN6f9Imb2EUmfk/Qf\n8oL6cPDhIYh79h2ZtZzidE7S6XOEdQAAgLCFEdYf8rc3zVxl1MzaJKUlnZX0vWJOZmZ3SPpjSf8m\nL6j/ZwhjRAn6R8Z0dHispGMyAUs3zkkELCMDAADQAMoO6865pyQ9KGmxpA/NaL5L0qWSvuyce1GS\nzKzFzJb59dlfwcy2yruh9JCktc650XLHh9LtfexEZH11trdG1hcAAECtCesG0w9KekTSfWa2VtIT\nkrrl1WDvl/SJafte6bc/LS/gS5LM7Fck3S1pUtLDkjabXXTVdcg590BIY0Yeh4ZORdbXqsULIusL\nAACg1oQS1p1zT5nZG+WF7ZslvUPSs/JuEL3LOVdM+uvyt82SPpJnn+9IeqC80aKQ4dPjkfW1fuWi\nyPoCAACoNaGVbnTOPSPpPUXsNyTpokvmzrk7Jd0Z1ngQ3ERmqvBOOTQ3SZMlHLqsk0WQAAAAZsOK\nNAhNe2vLxZ/C8jBJW9ctr+RwAAAAah5hHRfJTE4GOq7ZpHs3XFcwsJukbRtWKJ1KBuoHAACgUcR6\nBVNUx8RksDqME5NOt62+WosWzNN9+4/pwODF61h1d3Vo89olBHUAAIAiENZxkamANdOzx6VTSaVT\nSfWPjKl3YFRnxjOa35pQOpVkjjoAAEAJCOu4SFPAdYpmHrd0ITeQAgAAlIM567hIS3Owt0XQ4wAA\nAJAbV9Yb1GxTVAjrAAAA8UBYbzC9A6Pavv+Y+nLc/Lmmq0Nb1i6pwqgAAACQC2G9gew6eFw9ew7L\n5bmBtG/wpDbuOKC2Vt4WAAAAcUAqaxC9A6Pq2X1YhQq9OCedPpeJZEwAAACYHZOMG8Q9+44UDOoA\nAACIF8J6A+gfGdPR4bGK9zMnEbDmIwAAAHIirDeAvY+diKSfzvbWSPoBAABoFIT1BnBo6FQk/axa\nvCCSfgAAABoFYb0BDJ8ej6Sf9SsXRdIPAABAoyCsN4CJzFTF+1jW2XZhUSUAAACEg7COspmkreuW\nV3sYAAAAdYew3gAyk5OBjps/p1mF6ruYpG0bViidSgbqAwAAAPkR1hvAxGSwCutNTaadm7rV3dWR\ns727q0M7N3Xr1tVXlTM8AAAA5MEKpg1gKuBqSFNOSqeSSqeS6h8ZU+/AqM6MZzS/NaF0KskcdQAA\ngAojrDeApoBrFU0/bulCbiAFAACIGtNgGkBLc7Afc9DjAAAAEA7SWAMgrAMAANQm0hgAAAAQU8xZ\nrxPcAAoAAFB/COs1rndgVNv3H1Pf4MmL2tZ0dWjL2iVVGBUAAADCQFivYbsOHlfPnsNyeUoz9g2e\n1MYdB9TWyo8ZAACgFpHialTvwKh6dh9WoRLqzkmnz2UiGRMAAADCxQ2mNeqefUcKBnUAAADUNsJ6\nDeofGdPR4bGK9zMnEXA1JQAAAISCsF6D9j52IpJ+OttbI+kHAAAAuRHWa9ChoVOR9LNq8YJI+gEA\nAEBuhPUaNHx6PJJ+1q9cFEk/AAAAyI2wXoPOvnS+4n0s62xjUSUAAIAqI6zXoInJytaBMUlb1y2v\naB8AAAAojLBeg6YCZvW5iSYVqu9ikrZtWKF0KhmsEwAAAISGsF6DmgJWVJybaNLOTd3q7urI2d7d\n1aGdm7p16+qryhgdAAAAwsIKpjHUPzKm3oFRnRnPaH5rQulU8hXzx1uag33GamluUjqVVDqVLNgH\nAAAAqo+wHiO9A6Pavv+Y+gZPXtS2pqtDW9YuUTqVLCusZy1dyA2kAAAAcUdYj4ldB4+rZ89huTzz\n0fsGT2rjjgPadsuKaAcGAACAqmHOegz0DoyqZ3f+oJ7lnHTH7sc1kclEMzAAAABUFWE9Bu7Zd0TF\nFnhxkk6fI6wDAAA0AsJ6lfWPjOno8FhJx2QClm6ckwhYRgYAAABVQVivsr2PnYisr8721sj6AgAA\nQPkI61V2aOhUZH2tWrwgsr4AAABQPsJ6lQ2fHo+sr/UrF0XWFwAAAMpHWK+yicxUoONKLbW+rJO6\n6gAAALWGsF6j2ltbVOztoiZp67rllRwOAAAAKoCwXqPmJpp174brCgZ2k7RtwwqlU8kohgUAAIAQ\nsYJplWUmJwMfd9vqq7VowTzdt/+YDgyevGif7q4ObV67hKAOAABQowjrVTYxGaxoeva4dCqpdCqp\n/pEx9Q6M6sx4RvNbE0qnksxRBwAAqHGE9QjMFqSnAi5wNPO4pQu5gRQAAKDeENYrqHdgVNv3H1Nf\njikqa7o6tGXtEjUFXFQ06HEAAACoHYT1Ctl18Lh69hyWy3PlvG/wpDbuOKB5c5oDnb+l1NqNAAAA\nqDmE9QroHRhVz+7DKjTDxTnpxZeC3WBKWAcAAKh/JL4KuGffkYJBHQAAACiEsB6y/pExHR0eq3g/\ncxJMWgcAAKh3hPWQ7X3sRCT9dLa3RtIPAAAAqoewHrJDQ6ci6WfV4gWR9AMAAIDqIayHbPj0eCT9\nrF+5KJJ+AAAAUD2E9ZBNZKYq3seyThZAAgAAaASE9RpjkrauW17tYQAAACACoYV1M1tkZl80sx+Z\n2UtmNmRmnzWzkiZXh3WeWtPemlCh+i4maduGFUqnklEMCQAAAFUWSlg3s2skHZL0Hkl9kv5Y0g8k\nbZH0XTO7Isrz1KJ5cxLaualb3V0dOdu7uzq0c1O3bl19VcQjAwAAQLWEtYLpFyS9WtJm59znsk+a\n2WckfVTSpyR9IMLz1KR0Kql0Kqn+kTH1DozqzHhG81sTSqeSzFEHAABoQGWHdf9q+E2ShiR9fkbz\nJyW9T9LtZvYx59yLlT5PPVi6kBtIAQAAEM6V9Rv97YPOuVeUQnHOjZlZr7wQ/iZJ+yM4j8zsUJ6m\nZbMdF4agK4uyIikAAABmCmPO+rX+tj9P+zF/uzSi81RV0JVFWZEUAAAAM4VxZf0yf/tCnvbs85dH\ndB4551blet6/4n59oePLsWrxAvUFWMWUFUkBAAAwE3XWQxZ0ZVFWJAUAAMBMYYT17BXvy/K0Z59/\nPs0vL+QAAAkhSURBVKLzVNXShW26trO0m0NZkRQAAAC5hBHWn/S3+eaSL/G3+eaih32eqvu9dcsL\nLnCUxYqkAAAAyCeMsP6Qv73JzF5xPjNrk5SWdFbS9yI6T9WlU0ndu+E6ViQFAABAWcoO6865pyQ9\nKGmxpA/NaL5L0qWSvpytjW5mLWa2zK+rHvg8cXfb6qtZkRQAAABlCWsF0w9KekTSfWa2VtITkrrl\n1U7vl/SJafte6bc/LS+YBz1P7LEiKQAAAMoRSlh3zj1lZm+UdLekmyW9Q9KzkrZLuss5V1Qtw7DO\nEzesSAoAAIAgwrqyLufcM5LeU8R+Q1L+6dzFngcAAACod9RZBwAAAGKKsA4AAID/v717D7mkruM4\n/v6ooJvmmlu2hIImpktCVJJX1DWwICwzjf7QLqSxgZmgEFimFpLRRU0qITNRAwtDJDKNUvJWf1ia\nmeutXDPUtN28r5r27Y+Zpw6n57jP3p4zM8/7BcNwfvObw2/5nJ3zPfPM/EYdZbEuSZIkdZTFuiRJ\nktRRFuuSJElSR1msS5IkSR1lsS5JkiR1lMW6JEmS1FEW65IkSVJHWaxLkiRJHWWxLkmSJHWUxbok\nSZLUURbrkiRJUkdZrEuSJEkdlaqa9hjmTZLVixYt2nHZsmXTHookSZIGbOXKlaxdu3ZNVS3ZmPdZ\naMX6g8D2wKqNfKu92vU9G/k+6gfzXnjMfGEx74XFvBeWaea9K/B0Ve22MW+yoIr1TSXJ7wCq6p3T\nHos2P/NeeMx8YTHvhcW8F5Yh5O0165IkSVJHWaxLkiRJHWWxLkmSJHWUxbokSZLUURbrkiRJUkc5\nG4wkSZLUUZ5ZlyRJkjrKYl2SJEnqKIt1SZIkqaMs1iVJkqSOsliXJEmSOspiXZIkSeooi3VJkiSp\noyzW10OSnZNcnOSRJC8mWZXkvCSvm/bYtGGSHJ3kgiQ3JXk6SSW5fB37HJDkmiRrkqxNcmeSk5Ns\nOV/j1vpLsiTJ8UmuSvJAm91TSW5O8skksx4Pzbvfknw1ya+SPNzmtybJ7UnOSLJkwj5mPhBJjm2P\n65Xk+Al9zLun2jqsJiyPTdind3n7UKQ5SrI7cCuwE3A1cA/wLmA5cC9wYFWtnt4ItSGS3AG8DXgW\n+BuwF/DDqjp2Qv8PAD8BXgB+BKwBjgD2BK6sqmPmY9xaf0lWAN8FHgVuAP4KvBE4ClhMk+sxNXJQ\nNO/+S/IS8HvgbuBxYFtgP2Af4BFgv6p6eKS/mQ9Ekl2APwJbAtsBJ1TVRWN9zLvHkqwCdgDOm2Xz\ns1X19bH+/cy7qlzmsADXAQV8Zqz9m237hdMeo8sG5boc2AMIcGib5eUT+m5P82X/IrDPSPs2ND/k\nCvjItP9NLhOzPozmoLzFWPtSmsK9gA+Z97AWYJsJ7We3GX7HzIe3tMf0XwJ/Br7WZnf8WB/z7vkC\nrAJWzbFvb/P2Mpg5aM+qH07zofj22OYzgOeA45JsO89D00aqqhuq6v5q/8euw9HAG4Arquq2kfd4\nAfhC+/LTm2GY2gSq6vqq+mlV/Xus/THgwvbloSObzHsA2rxm8+N2vcdIm5kPx0k0P9A/QfMdPRvz\nXlh6m7fF+twsb9e/mOWL/hngFuA1NH9a1XAd1q6vnWXbjcDzwAFJtp6/IWkT+Ve7fnmkzbyH7Yh2\nfedIm5kPQJJlwDnA+VV146t0Ne9h2Lq9N+G0JJ9NsnzC9ee9zdtifW72bNf3Tdh+f7t+yzyMRdMz\n8XNQVS8DDwJbAW+ez0Fp4yTZCvho+3L0IG7eA5Lk1CRnJjk3yU3Al2kK9XNGupl5z7X/ny+jubTt\ntHV0N+9hWEqT+dk0165fD9yf5JCxfr3Ne6tpD6AnFrfrpyZsn2nfYR7GounxczBM5wB7A9dU1XUj\n7eY9LKfS3FA841rg41X1xEibmfffF4G3AwdV1dp19DXv/vsBcBPwJ+AZmkL7ROBTwM+T7F9Vf2j7\n9jZvz6xLWrCSnAScQjO703FTHo42o6paWlWhOQt3FM2X+u1J3jHdkWlTSbIvzdn0b1TVb6Y9Hm1+\nVXVWez/S36vq+aq6q6pW0Ez+sQg4c7oj3DQs1udm5tfW4gnbZ9qfnIexaHr8HAxIkhOB82mm9Fte\nVWvGupj3ALVf6lfRTBqwBLh0ZLOZ91R7+culNJc4nD7H3cx7uGYmDTh4pK23eVusz8297XrSNekz\nswlMuqZdwzDxc9B+UexGc4PiX+ZzUFp/SU4GLgDuoinUZ3t4hnkPWFU9RPND7a1JXt82m3l/bUeT\n2zLghdGH49DM2gbwvbZtZk5u8x6umcvbRmfp623eFutzc0O7Pnz8KYdJXgscSHMX8W/ne2CaV9e3\n6/fOsu1gmhmBbq2qF+dvSFpfST4HnAvcQVOoPz6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"text/plain": [ "<matplotlib.figure.Figure at 0x11d4caba8>" ] }, "metadata": { "image/png": { "height": 263, "width": 373 } }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(1)\n", "neighbors = [len(list(G.neighbors(node))) for node in G.nodes()]\n", "x, y = ecdf(neighbors)\n", "plt.scatter(x, y)\n", "plt.title('Number of Neighbors')" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:27:00.065910Z", "start_time": "2017-07-11T19:26:59.584433Z" }, "scrolled": true, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "<matplotlib.text.Text at 0x11d718b70>" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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A8VnPvwHIA38K4JyrAn9LEgRERERERGSNpBUAWkBh1vNvAhzJ5ltnTAObUupPRERERESW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\n1M4eOruTZAuwrGnyP9P2hgjDuRyNBgsSYfrTBVI5/1wggu/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/hicozyZ8N6BTnHO/n+n1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\n", "text/plain": [ "<matplotlib.figure.Figure at 0x11d728b38>" ] }, "metadata": { "image/png": { "height": 263, "width": 384 } }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(2)\n", "plt.scatter(degree_centralities, neighbors, alpha=0.1)\n", "plt.xlabel('Degree Centralities')\n", "plt.ylabel('Number of Neighbors')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Exercise\n", "\n", "Before we move on to paths in a network, see if you can use the Circos plot to visualize the network. Order and color the nodes according to the `order` keyword. (2 min.)\n", "\n", "The CircosPlot API needs documentation written; for now, I am providing the following \"on-the-spot\" docs for you." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To instantiate and draw a CircosPlot:\n", "\n", "```python\n", "c = CircosPlot(G, node_order='node_key', node_color='node_key')\n", "c.draw()\n", "plt.show() # or plt.savefig(...)\n", "```\n", "\n", "Notes:\n", "\n", "- `'node_key'` is a key in the node metadata dictionary that the CircosPlot constructor uses for determining the colour, grouping, and ordering of the nodes.\n", "- In the following exercise, you may want to use `order`, which is already encoded on each node in the graph." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:27:11.038468Z", "start_time": "2017-07-11T19:27:00.068170Z" }, "scrolled": true, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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8ev+fcVg9eDwenn/+edq2bStXUH3ppZfQNE3aHIRwEzaItWvXAnDuuecCjSuw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79lyZIlaLVaqqureeSRR3jrrbcICAigpaWFxYsXc++998qJ9c8//8yFCxeYMGECACdPnmT9+vU8\n+OCDhIaG0tTUxIYNGxg3bhyhoaHU1tZy/vx5hg4dilqtprm5me3btzNgwAA5Ld+/fz+9e/cG4OzZ\ns+Tk5HDjjTei1WqxWCwShNfW1pKXl0doaCghISF07dpV0jXKy8s5efIkXbt2JSwsjPr6epqamqQn\nfFVVFXq9XtoeHj16lL59+0pbSDHB9vVdFyC3rKxMWmX6+fnJ8KLi4mKio6PxeDzs37+fiIgI0tLS\n0Ol0VFdXk5eXR1hYGAEBARKQi2bA5XJRUlJCcHAwer2+NbI+NFTy5NunlxoMBgwGA83NzZJSUltb\ni9lsltcvJvKC3200GttQdFwuF9XV1XJSL6b9wktebOdLUxGv+f5ufb5/OT/ha+87jRfgvKWlRVKA\nxD0QXH5f7rloDHzFsr6ONeKYvq8JYarv9lfi17d33hElRMw6nU66zjgcDnm+IthJ6AVEBQQEyFUW\ng8FASUmJFLnGxMRICpPJZKK+vl42A506daKsrEyuOJjNZiwWC263G5PJhNFopLm5mcjISK699loO\nHz6M3W6X7k+HDh2ivLycwMBArrnmGnJzcykrK8NgMDB48GDKyspoaWkhISEBPz8/Nm/ejNPppFev\nXvTr14+tW7dSXV1NZGQk1113HRs2bJArVx9//HEb7/17772XCRMm8N1331FXV0dSUhJXX301r7zy\nCoWFhej1eh588EECAwPZvn07ACNGjCAiIoIXX3yRoqIijEYjb731FsXFxTzxxBOy0Tl48CB/+9vf\npPd8t27dWLp0KcnJybLJCQkJ4aeffmLQoEHS3SY6OpqtW7fy+OOPc/Kz16jfuUKerxfwtrOpPFJS\nT79PDrBg74XfXKXpqI76v1MKKKr/HT8dHHlZHUC+o2R9vuoUf1uR+ZvbDO4Xzcmdd6HYDuL1ennh\nhRfYtWsXn332mRROvvnmm2zbto158+bRt29fPB4Pc+fOJTc3lx07drTxhC8qKuLNN98kNDSU+vp6\nHn/8cRISEnjggQdQFIWMjAw2bdrEnj170Ol0eL1e7r//fvr27cvIkSNRq9Xs3LmTvLw8brvtNtRq\nNRUVFXz77bdMmTJFgqCXX36Znj170rVrV6xWK59++iktLS1Mnz4dvV7PwYMHsVgsjBs3DoAdO3Yw\nadIkCYYzMzNJTU0lKCgIt9vNzp07ueGGGzAYDNjtdlatWkVoaChpaWloNBoOHjxIp06d8Hg85Ofn\nU11dTc+ePYmKipKUF6vVSk5ODjqdjsTERGkjGRgYiEajoampCbvdLl1GcnJyCA8PJyIiAoCmpiYZ\nliRCfYQYWAgHBQAWjjaXL1+mS5cueL1eCgoKKC8vJz09nZCQEKxWK2fPniUiIkJSScR5CADY3NxM\nWVkZAQEBEoSazWYJdEU5nU45JRZTfY/HQ3V1NSEhIUBbIG+32yX1oz2QFy48vr7tIjlWgB1fjjy0\n5b2L8gXGNptNTr0FGBT7F2JdX8AtGjoB2sS2vtP4K9WVGoorUWzaV3tLS1HCdlIIi8V1BQcHc+7c\nOemq4yvG1Wq1hIaGSj95RVGorKyU/PqmpiYJ3CMiIqSFo5jei/eCg4OpqamR37MQPWs0Gnr37o3D\n4aCoqAiz2cyQIUM4ePAgmZmZ6HQ64uLiCAkJITs7m5aWFuLi4oiIiKC0tBS1Wi3tJgsKCggNDWXq\n1KlkZ2fLtOcbb7yRCxcucPjwYYxGI9HR0Rw9elTelxEjRsjkWCGiHTt2LLt27WLLli243W4GDx7M\nn//8ZzZs2IDD4SA+Pp4hQ4awYcMGtm3bBsDs2bPp2rUrI0eOlLSldevWUV5eziOPPCLFvUeOHOGe\ne+4hPz9fnoPFYuHxxx/nyJEj8v6VlpbyzTffsGjRotbnee83nH1oOINi/H8zCfaTY0UsO/HbBgMd\n1VEd1VHQAeQ7CnA4Wli36TxfrDr19zHRlbfztDRzYPt8/Exajhw5gsFgoKWlhSlTplBZWcm2bdsI\nDQ3F5XJx1113UV5ezldffSVDl+68805JTRFc3euvvx6DwcCrr76KVqvl/PnzvPXWW0ydOpXhw4fj\ndrtZtGgRAE899RSKotDY2Mhtt93Gp59+KsHESy+9xB//+EcZCJORkUG3bt2IjIwEoLq6mm+++Ybr\nrrsOo9FIUVERixcvZurUqSQlJUnh66BBg4iLi8Nut3Py5EmGDBmCWq3GZrOxb98++vbti0ajoaam\nhsOHD5OWlobX6+X06dPk5uYyYcIEyYG3Wq0EBwdjsVi4dOkS4eHhmEwmYmJiJNWktLSUS5cu0alT\nJzndtNvtmM1mmZopOO7V1dXk5ubSvXt31Go1jY2NREZGykTPyspK4uLigFaQryiKpMgIsF1VVSVp\nFg0NDRw7doxu3brRqVMnSfcRU2ZhuWi327Hb7YSFhUmfeyHEtVgsxMfHy+2gFXiKkCpfaorL5aKp\nqYmAgAB5PYJaY7VaCQsLw8/PT/rhQyvfvq6uTu7LF0hbrVZJSxHUmvZCV/iFLy/APiDPVQBecc1i\nAi/CpUTjIATJvn71vo3Cr4FxsY14v70f/q81AL7e874Te41GQ0BAgGyAxD71ej1btmyRQN133waD\nQQZ22e12KisrZRMUFBQkwb9Op8NgMMhVh/DwcEpKSmTTIVaYfP3+XS4X0dHRDBs2jMzMTBwOB337\n9sXlcnHq1CkqKioICgqif//+5OTkUF1djZ+fHwMGDJANQ1paGpWVlezfvx+VSsWQIUMICwtj27Zt\nuFwuunTpQpcuXSTHvWfPnjz33HNt7tfIkSPp27cvu3btwmq1MmjQIPz9/VmyZAn19fVERUXxzDPP\ncPz4cYqKitDr9UyePJnLly/z7rvv0tLSQv/+/bn77rv5wx/+QGlpKQB33XUXw4cP5+qrr5Z2p+vW\nrePgwYMsXbpUHv/y5cvs3LlTpr4CFBcXk5+fzx133CEbnlOnTuGv1/LjM9Px2H47FGrZ8WJWZ5Vh\nb/ltimNHddR/Z/1Pu9H86641HSWq4278zquxycFtczbw/PwMKiqtvwB5H3wR4K+jU3Qz5XnvUXL5\nLAMHDqRTp058/fXX0tM7PT0do9HI2rVrpYXiDTfcgF6v5+OPP0av11NaWsqsWbNIT0/nL3/5C4qi\ncPHiRW677TbS09O58847gVYqTkZGBi+++CKRkZE0NDTwwgsv8PLLL9O1a1cUReHIkSN8/vnnvP76\n62g0GiwWC2+//Tb3338/JpMJu93O119/zeTJkyXnes2aNQQGBnLVVVfhdDrZtm0bJ06c4L777kOv\n11NYWMjZs2e58cYbUalUZGZmMmTIEEJDQ/F6veTm5hIZGSkpPAcPHmTEiBHSV33jxo2Eh4fLoKeT\nJ08SHR0tXWiqqqpISUmhS5cucnWhvr6erKwszGYz8fHxeDwe6urqCAsLQ1EUCaJFiM+JEyfo3r07\nBoMBl8uF2+2WVBUBWKBVG2CxWGSCp8FgkI1CaWkp0dHRtLS0cObMGUwmE927d5dAv7CwEJPJhNls\nluDWbrfL6y4qKiI4OFjScaKioqSeQJTdbpduN6LhE5N3IVytra2VgNRqtWI2mwkKCpIgUYBvkbSq\n0WikSFWr1eJwOKQFpy+o9qXXtLd+BKTzj9jW6XS2ocj4+tG7XC5p21hdXd1mei/2J0B3ey6776S+\nPd/dF+D/FoWi/T7FRN7Pzw9oXfkQWg0R3tSe3uPv7y91CYqiUF1dLUWuwllIbCdoNEJMLRKETSYT\ndXV1snESoWQajYbu3btjtVopKSkhNDSUfv36cejQIU6fPo1OpyM2Nhaz2cyFCxcAiI2Nxc/Pj7q6\nOgwGA+np6fz000+UlZURFxfHuHHjOHnyJNnZ2ZjNZq6//nr279/PxYsXMZvNvPPOO22ub8aMGYwZ\nM4YdO3ZQU1NDdHQ0/fv3Z+HCheTn52MwGJg6dSoJCQns2bMHgDFjxmAymXj22WepqakhPDycBQsW\nsGTJEkm76d69O4sXL2bcuHGUl5cD8MADDzBs2DCuu+46efyXX36ZwMBAbrjhBvna3/72N4KCgujT\np49sMpcvX05ycjKRkZFYi/OpeO8+Qi05BOo1XKnKmhw8tT2HKatP0uhoueI2HdVRHdVRHUD+d15v\nvv8zZ7Mt//iGD7boHNPA9g1PctONwwE4ffo0U6ZMYeLEiTzzzDMoSmuaaL9+/UhPT+eNN95AURQu\nXbrE1KlT6du3L88++yyKonDw4EHeeOMNnnzySUaOHAnATz/9xOLFi5kzZ47ky8+fPx+Xy8Vzzz2H\nTqfj/PnzLFmyhIyMDAwGA16vlwULFpCamsqwYcNQq9Xs2LEDk8nEkCFDUKlUFBUVUV9fL4G1x+Ph\nnXfeoX///oSFhVFdXc2HH35Ir169GDhwIBqNho0bN9KjRw/p2Z6ZmcnAgQOld3lmZiZpaWmo1Wqq\nq6vJysqia9eueL1ejh07RmFhIRMnTkRRFCoqKuRUvri4mJKSEhISEuT0XUypS0tLKS0tlfx5Qe8Q\nAK2hoYHg4GDsdjvFxcU4nU46deqEoijU1tbSuXNnSa+5fPmyvD/nz58nLCwMaJ1sBwcH43a7yc3N\nJSYmBoPBwOXLl7l06RIDBgyQDjnnzp2TE3dhI2mz2eSkuqKiQvK0a2pqCA0NlXacopxOJ83NzZhM\nJvz8/OSUV3DQ9Xp9mwRZsW1wcLAEib4CUrvdLqfZvkBeAE1hcQm/BD61B8gC5AogL6b3AsgL4C7+\nLMC6WJmoqqpq424jwLA45q/ZSPq+7ivkFefo617Tvny3VxRF6g7Ed6xSqQgMDOTkyZMSaGs0mja0\nGiGKFt+JmMYbjUYaGhrkZ4KCgrBarYhgKeEbD600GrECotfrJb0pMjKSHj16kJ2djcvlon///lRX\nV5OdnU1lZSVms5mePXtSUFBAY2Mj/v7+9OjRg8uXL6PT6UhPT+fs2bOcOHECk8kkE14zMjLQarX0\n7t1bUuwMBoN0hRI1dOhQBgwYgEajIS8vD5fLxYgRI9i/fz979uzB4XDQu3dv7rrrLjZs2IDb7SY1\nNZX09HTee+89srKy0Gq1PProo9TU1PDiiy9KvcbWrVt59dVXJfjv27cv7777rkydBujXrx9z584l\nJiZGNnbTp09n1qxZJCUlYbVaAbjvvvuYPn06PXr0kC44vRIiOfnavUSUnr7idy/qTGUTr+7L/81t\nOqqj/ltK+UVo///7TwdF/pfqAPK/0yotb+S5v+7i+5/yfnM7a+0ZNqx6jnXr1rFq1SopVv3hhx94\n+umnmTt3LjfddBMAWVlZTJs2jT//+c/cfvvtAOzdu5cXXniBmTNnSv75smXL2L59O99//720Q5w3\nbx7Hjx9v4y//6KOPMmTIECZPnozX62XdunUUFBRID2ir1crs2bN5/fXXJZf9r3/9K9OnT5d+6Tt2\n7GDYsGGSnnLu3DkuXbpE//79URSFM2fOsHbtWh544AGZpLpz507Gjx8vky9TUlIkIL548SLBwcFS\n4Hn8+HH69esnVyF++uknwsLCpBNMdna2DLqyWCxYLBbppS3AkG8KppiC19bWEhoaKkGnw+GQ/umZ\nmZl07doVnU6H1WrF399fTvjPnj0rp+OlpaXSUcPpdBIeHo6iKJSVlckwp5qaGnJzc+natSvR0dG4\nXC7y8vLk/RICRxFD7xuKpNFoJIdfnLcAfi0tLXIlQPjSi+l3Q0MDJpMJt9stQaXwvjebzZJ/L8Sk\n8AsVxld8KlYKruQW05677ju1FysdYj++1BrhF+7Lj9dqtW1SXdunyfqCd9/Je/tpuqgrCV199/Fr\noF4k36rVatnwKYqCXq9n3759Upfgey9MJpNc3WlqaqK2tlZ+FyLFVlBlmpqaZEMUEBAgVy3Ecyau\n2c/PTwL6bt26YbfbsVgsxMTE0LlzZ06ePElWVhYGg4GYmBgCAgK4cOECarWahIQE+dwEBAQQFxdH\nRkYGDQ0NpKSk0K9fP44ePUpZWRmhoaEMHDiQ7du309zcTHh4ON999528tsjISCl7QzUAACAASURB\nVPr378/gwYPZs2cP9fX19OvXD5VKxcqVK6muriYmJoaZM2eSlZUl049vuukmMjIy+Pbbb/F4PNxw\nww0MGzaMSZMmyYbxo48+Ii8vj9deew2v10twcDB79uwhJSVFNqV+fn4cO3aM5ORkea+Sk5NZsWIF\ngwYNkvScYcOGsWTJEsaPH8+5c+eAVhHsiRMnWLhwIRlvPIrt7M9X/M5FfZddyZPbsilpsP/mdh3V\nUR31+6sOIP87rOLSBm6+Yy3ffp9Ns811xW2Sk4J57sE0LIWf4XG7mD59OidOnGD//v0kJCQAsGTJ\nEpYtW8a6devo2bMnAJs2bWLevHksXryYfv36AfDJJ5+wfv16lixZQkpKCi0tLTz11FNUVFSwefNm\nTCYTNpuNadOm0dLSwoIFC9BqteTm5vLmm2/ywAMPSMDwxhtvMGvWLDmpO3fuHF9++SVPP/205KZv\n2rSJ66+/Hr1eT1NTE5mZmfTu3VsCpC+++IKUlBTi4uJobGxk7dq1uFwuyW/ft28fYWFhpKWl0dLS\nwrlz50hPT5ehSLm5uSQnJ0sqyqVLl0hKSpJOMBaLhYkTJ+L1erFYLFLIWVpaSnFxMYmJiXTq1Amt\nVttG0Hn58mXJfxfA1d/fH4CamhppJ3nhwgXi4+Ols0x9fT2BgYHS6Ua49VRXV8tQKIfDQUhICFqt\nlrq6Oux2u7SULCsrw26306NHD5lgW1lZiVqtxt/fH6PRiNPpxGazYTKZcDqdMj1WAG5fCz5xTS0t\nLWi1WnQ6nUx3tdvtEuALSo0Qn2q1WoKDg2WIlQC3QnDpOzX33Z84lviMAOXiXASg9vWIF/fXF/iK\n6bfwZRchT4KDLoB8e857ey6+731o/5qvILd9o+H7uSuVCM0S1pgulwudTkdzczM5OTlyhcAXyPv7\n+xMUFERTU5O0KRV8eLvdLj8TFBQkJ/qiKRXXGhAQICfLWq0WjUaDXq8nLCyMxMRESkpKUBSFq666\nioKCAi5evEhNTQ2BgYF069aNwsJCbDYbZrOZTp06cfnyZUwmEwMGDODw4cNkZ2cTGhrKqFGjqKqq\n4uDBg5hMJvr3709JSQmnT58mKCiI999/v839uPrqq0lPT6ewsFC6IXXr1o2vvvqKwsJCdDodo0aN\nolevXhw9ehRFURg/fjwNDQ28+eabWK1WkpOTefjhh7n99tvlddx6661cc801TJs2DafTiU6nY82a\nNcycOVPSgwAqKiq49dZbpeDVZDKRk5PDrFmzpOA1ISGBffv28eSTT8rwKZPJRElJCT/++COPP/44\nuFuo+vwFnkxWkRxi+uUCfRpBq8vNmrPljF95nOIOMN9R/5eq1R31f94j/l/76ShRHUD+d1jvfXyY\n2rrf/segqXoXd94+iq+//kqK/kR4y8mTJ6XI9LHHHiMjI4MjR44QFhaG1+vl9ddfZ926dWzatIno\n6GjcbjcPPfQQ2dnZfPXVVwQFBVFfX8+f/vQnunTpIj3ny8vLmTZtGj169GDmzJkAbNiwgYMHD/Lc\nc88RFBREaWkpr732Glu2bJE84Q8//JCkpCQ5jdu2bRu9e/emc+fOQGtoU3x8vOSSV1dXs3nzZvr1\n64fBYODSpUt89tlnzJgxg6ioKFwuF5s3b2bixIkYDAaqqqoICQmRtpDFxcX4+flJzvipU6fo2bOn\nFERu2bKFmJgYunbtitPplJaO9fX1VFVV0dTUxIABAyQ/XKfTUV9fT2FhobSpVKvV1NXVERQUJAGr\nAKdWq5X8/Hx5fRaLhejoaOlKIqq+vh632y2bAZ1OJ0F5WVmZ/O/y8nJKS0u56qqrMBqNNDU1cfbs\nWelVrtVqJZVFrCJUVFRIUNfQ0CC3E+V2u6W7iaCmCJtJm80mefJ1dXWS9uF2uwkNDSU0NLSNJ71v\nwqzwchcg2el04nA4JK/bdyLuC7p9PeWhVUPgO9kXnxfA3XfirVarpe0o/DJJF4D717zirzRtF/dA\n/PmfWQz60pWE5aTgu0OrreTp06dlUJXQI0Ar6BYWpXV1dTQ0NMj9iQbA6/XKtFcB6kUDDEjLT3Gu\n4tj+/v4kJCTgcrmor6+nU6dOmEwmCgsLycnJwWAwEBUVJf9+6fV64uPjpa5D5Cn8/PPPuN1uevTo\nQWJiIgcPHsRmsxEVFUViYiI7d+5Ep9Oxe/fuNlaTQ4YMoVu3bsTGxpKTk0NTUxPDhg3j4MGDHDt2\nDJvNRs+ePZk6dSpbt27F4/HQu3dvkpKSmD9/PiUlJfj7+/PYY4+xbNky9u7di9frJTk5mXfeeYcJ\nEyZQXV2Noig8+uijnDhxgrVr18rjb9myhb/97W+sWbNGPm+XL1/mww8/5IsvvpDfTUFBAStWrJC8\nfq1WS3FxMQUFBYwfP17u76MPP+ThiSPI+fLNVgD/K6s5NTYXbx0o/M1npqM6qqN+X9UB5H9HdeZc\nJX+4Yy2bt+a1JrReEUR4qC3dwLGDK7j99tu55ZZbmD9/Poqi4HA4ZADQgQMHMBqNuFwupkyZQnFx\nMUePHpU0itmzZ1NUVMSGDRtkwNGUKVPQarUsXLgQjUZDfn4+Dz30EHfffTcTJkyQHPpXXnmF2bNn\nM2DAADweD6+99hrBwcHMnDkTlUrFwYMH2blzJ6+//rqcrj7xxBM8++yzElwvWrSIm2++mYCAAJxO\nJ8ePH6dXr15y6rp79250Oh1JSUk4nU727dvHkSNHmDlzJmq1mvPnz2O1Whk4cCAul4uioiJSUlKk\nq0dRUZF0n6msrKSsrIzY2Fg8Hg8ZGRnU19dLylFVVRXNzc34+/tTWVlJfn4+qampErB7PB7JF8/N\nzSU+Pl4eR9BZPB6PpAa43W5ycnJITU1Fo9Fgs9kk+BWg1Ov1SktKYT3Z3NxMUFAQ0EoRMhqNBAQE\nUFVVRVVVFREREURGRuJyuTh79ix+fn5yAi7sKQWYKy4uxmQySaFxeyAvEl2FhaV4z+PxSJGroijU\n19dLjntTUxNRUVEEBgZK5xrh9+71eiWQczgc0h7S6XTKybJvIJTvJFx8575CVrFfYZvp+2chAvV1\nhfF6vdK3XuzLl8P/a9V+Ig9tVwmuVGL79h7zwlVGrGZoNBp0Oh2HDh2STYdvIxcQEEBYWJi8t4L+\n4bva4PW25gw0NTVJ3rwA2+LZE9+7APk6nQ6z2UxsbCw1NTUYDAa6d+9Ofn4+ZWVl1NfXYzKZSE5O\npri4WD4/oaGhVFRUSN78gQMHKCwsJCYmhqFDh1JUVERWVhb+/v5cddVVZGZmUllZKalnolJSUujR\nowfdu3cnKysLq9VKjx49qKur46effsJisRAVFcXYsWNlpoPZbOaGG25g+fLlHDp0CIA//vGPNDY2\nsnDhQlpaWggMDGTFihU89dRTnDlzBoDBgwczYsQInnjiCXn82bNnExQUxCOPPCJf+/777ykoKOCx\nxx7D6/Wi1Wo5d+4cp06d4o477pDf54EDB9DpdHTt2lV+9tFHH+Xee++la9eulGasp3b9IrzuXxe3\nbsypYMKqE5zqSIHtqP/2UvifdqP5111rOmbyojqA/O+kLhTW8Kd7N5B1vhKPxwdY+ICMHl2DyTpw\nH10TWzmg69ev55FHHuHZZ5+VCayNjY3ExcXRpUsX1qxZI0WgQ4cOJTg4mHXr1klwOWLECGJiYli0\naBEajYaysjKmTZvG4MGDueeee4BWoeunn37KypUrSUpKwuv18sEHH/DDDz/wxhtvEBERQUNDA088\n8QR/+MMfGDp0KA6Hg+XLlzNy5EgGDBiAoijk5+ezevVqCfZLS0vJy8sjPT0dtVotQ2yEHaXL5eKb\nb76hZ8+eBAYGUllZycqVK+nTpw+9evXC4/GwdetWxowZI1cQjEaj5JmXlpbi7+8v6S3Z2dmkpqZK\nAeimTZvo3LkzaWlp2Gw2CgsLiYiIwGazUVpaisfjkeLW5uZmSV8oKioiPDyc8PBwvF6vDF0SQFKI\nK0UqZ3BwsExg1el0ADKMxuPxcPHiRQIDA/F4WpNQIyIi5OqHsHQUn29qaiI1NRUh1BXA1WAwEBIS\nIqfYvn7wLS0tUozrC6SFJ74A/iqVSoJ5QeEwmUy4XC4peG1oaMBsNhMcHNymiRAAXAhMhdhVAHJB\nF/GlrfyWg4xvwyNCn8T5OZ1OudLQnj4jgLC4vvY8ePHdQFuBq9jGd5J/JYDfvnz3JwC0WC0Qoty6\nujouXbokve99vfz9/f2JiorCYrFIao3gw9tsNnkffa9Hq9VKGo24bt+mQViZiudTJBM3NjZSXV3N\nxYsXJe3Gz89PrvzEx8fT3NyMx+MhMTERi8VCZmYmJpOJ3r17Yzab2bdvHyqVioSEBIxGI0eOHMFo\nNMoQJlFpaWmSytbQ0IBGoyEpKYkffviB4uJitFot/fr1o0+fPmRlZaFSqZg0aRKnT59m5cqVOBwO\nBg0axODBg3nkkUewWq3odDpefPFFDh8+zJo1a/B4PERGRrJw4UIZJAeQmprK3LlzGTFihHzt4Ycf\nZujQoYwYMULqD9asWUNAQABDhgyRzdgHH3zAgAEDZCo1wE033cTChQsZPHgwubm5AGiydpP/2GhS\nA35FY+GF05WN3PptJhdqmn/zGeqojuqof//qAPK/g/J6vSxdfhxr85X58K3buPk54y2qLBXs37+f\n5ORkoFWYumDBApYuXcr1118PtHJDu3XrxpgxY3jttddQqVTU1NTQr18/Ro0axV//+lf52uDBg5k4\ncSJ33XUXiqJw4sQJHnnkER5++GGGDRuG1+vlnXfe4dixY/z4449ygv7QQw9RUlLC/PnzJV/+vffe\n49FHHyUuLo6amhreeOMNVq5cKfnZK1asIC0tTbrU/PjjjwwZMoTIyEhaWlrIy8uTjjEAFy5c4MKF\nC3L7c+fOsX79eubMmSPDXAoKChg9ejRut5vq6mqio6Ol40pZWZl0BLFYLNKK0ev1snPnThobGxk/\nfrxsYoRgtampiZycHK655hr0er2kNLjdbuk8ExMTIykOgufe0tJCY2OjFGjm5eURHx8PtE79hdtL\nc3Oz5K6XlJQQFBQkBaUJCQmo1WoaGhqAX3jWjY2N1NXV0blzZymCFNaURqMRg8EgqSsOh0PaQdrt\ndumwA8iJtxCiCsGqEOQ6HA7Jixf3UUzErVYrfn5+Mi1WiE8FAPal14hJf0tLiwxq8nWt8eWhi/IV\nygpQKxoZQaERjjpilUBMooXji7jGfwbCfQH+b3Hof6t83zcYDBLMazQanE6n5GQL8aV4lqCVwiGS\nci0Wi6TRCHAuwqxEAymSWsU9FjoB0byJVQqhYxB6DT8/P2JiYigrK6OqqoqGhgbUajWpqakUFRVJ\nkbWwrwwJCSEqKoqTJ09isVhITEykT58+ZGdnU1JSQkBAAGlpaRw4cACv18uqVava3JPRo0eTmJhI\nTEwMly5dorGxkYEDB7Jv3z65itatWzdGjhzJiRMn8Hq9DBo0CKPRyNtvvy3tKe+44w6ee+45yYu/\n4YYb6NmzJy+++CJOpxOj0ch7773HddddJ5sjnU7Hjz/+SK9eveRrwqUrOTlZfg9PP/00EydOJD4+\nXuYe3H///dx7773SDlZ8dtOmTUycOJHDhw8DYDQaW9Ogs89z4LWHrzyZ//uj1ezy8OGxy//0Oeqo\njvoPlaB2/f/+01GyOoD8v3kdPVnC8Bs/Z8PmbMCL19uWl6tSKcRFKVRd/IS6qnNcddVV1NfXk5mZ\nSUxMjOS8f/TRR2zZsoU+ffoAkJuby7Bhw3jwwQe5++67URSFwsJCRo0axeOPP860adNQFIW8vDwm\nTJjAggULuPrqq1EUhfXr1/P+++/zySefEBcXh8Ph4P777ycoKIh3331XBg3dddddREZGSn/5jRs3\nkpWVxb333ovRaCQ3N5evvvpKcuxdLhcvv/wyDz30kBR4rl+/nuHDh0vutwhREhPT7du3ExsbS0hI\nCHV1dWzfvh2Hw8G1116L2+1m9+7dDBw4UApjvV4vERERKIoihaXCxePChQskJSVJPvXatWvp1asX\naWlpkq4SHR0t015jYmIIDg6WwFq4zRQVFaHT6QgPD8ftdkvbPuFmI0BWVVUVkZGRaDQarFYrgYGB\nEowKwFZVVdVmwuzn5ycnq1VVVRL8tbS0oNFo0Gg0hIWF4XQ6OXfunPSf93g8BAUFyamqVqvFYrFI\nmgb8AqAFkHc6nTIV1mw2yxUDj8cj6TFiIi/CooQFpWiQxCRdTI0Fx1xco6DfCMcW+KWZECX+W0z1\nfSf9Qv8hgKrb7ZbUFTG1FxoFX5tKcc2Cey/+LOpKXPn2qwS/RclpXwLEG41GaU+q1Wo5ffr0FWk1\nQUFBhIWFYbVaqa+vl+fu6xuvKIpsCsQxhP5ANDu+qx/QStfx8/PDZDKhKAqdOnWirKwMq9VKWVkZ\nKpWKkJAQ/Pz8pNg6Pj5eBkklJiZSVFTEuXPnCA8PJy0tDZ1Ox+HDh9HpdHTq1ImGhgYKCwvZuXOn\nPDdoBb4xMTHEx8dTVVWF0+kkISGB8vJyDh8+LP3g+/fvj9vtxmq1EhERwdVXX83777/PhQsX0Ov1\n3HHHHaxevZpDhw7h9XpJSkriiSee4KGHHqK+vh61Ws0DDzzA888/T11dnTz++vXrGTdunHwtJCSE\nPXv20Lt3b6mfGDduHK+99hqJiYlyRWvUqFF88MEHJCQkUF9fD0BcXBwnTpxg9uzZfP/990Br81Vf\nX09RURF9+vTBXnCayg8fJ9RehUo8Ou3SYNedr2DgZ4c4XPLLeXZUR3XU76s6gPy/cV28XMecR7+n\nwmJt984vIEOnqmHXpvuY+8IcVCoVdXV19OzZk+bmZk6cOCGXgZ999lnWrl3LyZMnZXrowYMHufXW\nW3nvvfcYM2YMAEeOHOH222/nyy+/JD09HYA9e/bw6KOPsnr1ahITE3G73bzzzjts3bqVZcuW4efn\nR1VVFTNnzmT69OlMmTIFtVrNyZMnmTdvHlOnTmXgwIF4PB7eeustkpOTmThxIm63m4yMDCIjIxk8\neDBCcLZlyxZuuukm2VyIf6wVRaG4uJjIyEg5Qa6urmbfvn10795d2k2uXbuWadOmERISQm1tLSdO\nnGDs2LGo1WocDocEwy6XS3plixWIuro6OZXfsWMHlZWV3Hzzzej1eioqKqRgVADltLQ0tFotjY2N\n0ptd2ATGxsZKkG4ymSQNx+FwSO5yS0sL/v7+bXjebrdbcryFVaSYMjscDun5LpxFBAVGTIxjY2NR\nqVSS+y+m1bGxsXLKLj4fEBCA3W6X9BZBzxDHEgJLQb0Rx2hubpbuMyqVisbGRplGGx4eTkREBFqt\n9h9SW1taWiQVR1B1xLRcNGe+4L/9RB5+odaI6xIrIuJ4ornxpdaI84W2NJ1fA++/Vr7i1X9Wvvs2\nGAzSAUg0NAI8u91u9Hr9P/Djw8PDsVgscvVFrGKI+yf8/QXdRrwu7oXvioSg4Ajak7CoFJN2saLj\n9XpJS0ujpKQEh8Mhm16r1UpoaCh6vZ7z58/jdDqJjY0lJSWF48ePS3pZQkICBw8epKCggLKyMnk9\nMTExdOnSRf6dEA1HfHw8GRkZVFZWolKp6NWrF126dOHSpUtoNBpuvvlmNm/ezM6dO3G73YwZM4bK\nykpWrVpFS0sLAQEBzJ8/n3nz5lFQUICiKAwfPpxDhw614eU/88wzLF68WL6mUqnYv38/kyZNkk42\n3bp1Y/PmzfTv35+ioiIAunTpwq5du+jXr598LTAwkMuXL/Piiy/y2WefAa3P2OXLl2loaKBLly7y\nOblteDonn5uKsbEcVFeeRFZYndy5KYvCug6aTUf9N5Tqf8lPR8nquB3/ptVsc7F8VSZW65XpNK3U\nARs5pz5m8uTJPPLIIzz33HMoSmu4U69evTAajRw9elR6ps+ZM4cdO3ZQWFgoQ1HWrVvHU089xaZN\nm+jRowfQOrn6y1/+wv79+4mNjcXr9fLpp5+yfPlyVq1aRUhICDabjWeffZba2lpeeukl1Go1mZmZ\n/OUvf2HZsmV069YNlUrFqlWrWLt2LS+88AJRUVE0Njby/PPPM23aNK666ioaGhr46quvWLBggXSl\nEeciPOq3bt3K4MGDJW2nsrKS6OhoScUQiZjR0dFYrVYyMzM5evQoU6ZMwev18vPPP9O1a1e6du2K\nw+GgpaVFerw3NTWh0WikL3pBQQHR0dGo1Wpqa2v58ssv6du3L926dcPrbQ2NErSZ/Px86QcvptQG\ngwGNRkNFRYVM8RQTZ0EJqqurk37fFRUVcoVBCDUFyBWA2el0EhAQIGktAlyVl5fLabsA9UajkcDA\nQPz9/WlqapJTeeEHL+gV9fX11NXVSaqA8GWHX8SldrtdToMFRUev10s6jpj2Cucbwc0OCgoiOjpa\nToLbA3lfKol4X1CQ2ttPQts0VQFUBUgVVB0BVAVfXtB3xP4aGhok/9k3yfVKk/d/pX5L7Creb+9j\nL0TDwqozPz9f2mgK4A2tFBABuCsrK+X9EmJesV8/Pz/5335+fpJ+I5oCX1Av6F0CvBsMBqKjoykp\nKZGrOy6XSwZ61dfXoyiKnJ5rtVoiIyOxWCwUFhYSHR1Nly5dcLlcnD9/XnrMFxQUUFlZKe0boRU0\nDxgwgJCQEEJCQqiursbpdNKjRw92797NxYsXsdlsJCcn0717d+nfPmLECMrKyvjyyy9pbm4mOTmZ\n5ORkPvroIxobG9Fqtdx///3s3r2bffv2ySY2PDyc3bt3y+OPHj2a+vp6tm3bJl/7+OOPefPNN9mz\nZw9er5fQ0FCOHj3K5MmTOX78OADBwcHk5OQwadIkTpw4Ib+bqqoqli5dyvz58+V3fezYMQIDA4mN\njZUN46RJk1i+fHmrxeUnL+Kxtx/I/FJNLjefZZbQ7PrXG8WO6qjfeymK8oaiKDsVRSlSFMWmKEqN\noignFUV5WVGU0HbbJiqK4v2Nn29+4zh/VhTliKIoTYqi1CuKsltRlAm/tv1/tDqA/L9hnT5bwdgp\nX/H12jO/us1NYxMpyX4bp62EjRs3Mm3aNF588UUeeughFKU1NKhHjx5ERkayZ88e6R9+6623cvr0\naQoKCjAajXi9XhYuXMjixYv5+eefiY6Oxuv1smjRIr7++msOHDggBaHPPPMMJSUlvPPOOxiNRior\nK3nqqaekTRzAmjVrWL9+PT/88ANms5mWlhbmzp3L+fPnefnllzEYDBQUFPDJJ58wa9YsYmNjKSsr\n4+uvv+b555+XvN5FixYxa9YsOeE+fvw4PXv2RKPRUF1dLQORAJqamti9ezeJiYmYzWaKi4vZsWMH\nvXr1IiUlhebmZrZt28bEiRPx9/eX4j+DwSB93M1mswSk1dXVREZG4vF4OHDgAOfOnWPGjBmSr9zQ\n0CBBlNPpJDS09f8XFosFvV5PUFAQtbW1NDU1ER0dDSD54yqVSi7PazQaamtrJZ9c8MQF2BST43Pn\nzhEYGIjb7aa2tpb4+HhpbymCgcrLyzGbzRiNRsmDdrlcFBYWSt64TqcjJCREToMFFcbr9VJdXS3B\ns1hZEGJEkaLq7+8vJ8KC4iGm4k1NTW2AfGRkpGxcxCoG/BI0JcC3EH6KiXz7Eg2ALzAWU23h7OP1\nemWglqDa+FpVClGpoLAI8C549FcC5QJUX8mx5kqv/1YZjUYpTPa1hiwoKJDH8Z3GBwYGEhISQmNj\nI5WVlfIchchV3AOxuiIsJX1XVMT98dVGBAYGotFoCAwMlA2m0EsIMXlaWho1NTXSScnjaU3lNRqN\nMqHZYDAQGhpKt27dOHr0qKR8hYSEkJ2dLakmooYMGSK59XV1deh0OqKioigtLSUzM1OmJ6empkpq\nWadOnUhOTubjjz+WwWjjx4/niy++oKioCLVazbBhwwgICOCbb77B5XIREBDAiBEjWL16tTx2XFwc\nAwcO5NNPP5WvzZw5k/Lycr7++msp2t6zZw9PP/20PHdB/Xv00UelWFeI8Ldu3cq9994r97d+/Xp6\n9OhBWFiY/B5HjhzJd999x4wZM1izZg2ukgtUL3qAyZ1/yWsA2hh3LD9dysgvj3S42XTUf74Edet/\nxc9/yxU/BvgB24FFwAqgBZgLnFYUJf4KnzkFvHKFn3VXvKWK8jbwBRANfAp8DfQCvlcU5cH/jovo\nAPL/ZlVTZ+OexzdTUfnr05tAfzfvvjqBc1kHJQhZt24dt99+O2+++SazZs2SNJXevXuTmprKpk2b\nJBC4/vrrqaqq4ujRoxKwPfHEE2zatInDhw8TFBSE2+3mkUceITs7m3Xr1slJ7G233UZaWpoUlGZl\nZTF//nzuvvtu+vbti9vtZu7cudTV1bFkyRLpsf7kk0+iVquZM2cOiqKwfft2cnNzueWWW9Dr9eTk\n5GC32xk4cCDCVWbv3r0MHz4cgOzsbCIjI6XwtbKykvDwcBmuc/HiRUpLS6UuIDs7m61bt/LHP/4R\njUbD2bNn0ev19O3bF5VKhc1mIyAgAEACItHYlJWVERgYKM999erVpKSk0Lt3b+mdHRwcjL+/PxaL\nRZ6HzWZDrVZL8NTc3IxOp5P3TggdXS6XFL0KQCj8w1UqlaQACepJXl6eBPfNzc2YzWZMJpPkTwcH\nB9PY2EhFRQXx8fHy3A0GA7W1tVy8eFHyz+Pi4uREW1A21Gq1nMDCLwmkgt8vGhbfYCgR8iToQE6n\nk6qqKqAVyAcGBhIQENAmcEmIXkUCqbhW+MUX3pdW4zuJ96XD+No6Cg62mDq3d8oReoTa2to2/u+i\nfPfrC859nWquVP9sIu/7OfE8CGqM1WqlsbGR2traNpaRokJDQwkODqaoqEjytMX3L87d399fUmlE\nimt7io0A9eIeCJ1DaGiotFIVjaXNZpPahsrKSrxeLzExMVgsFoxGI2azmerqaplYnJqaSllZmQxM\nS01N5cyZM3z77bdt6Eepqal0796doKCgNsFdgYGB7Nmzh8bGRlQqFSkpJZGAzAAAIABJREFUKYSH\nh8uE4HHjxrFy5UoyMzNRq9WMGzeObdu2SQFsVFQUN998M0uXLqWhoQGdTse1117LqlWr5HEMBgO3\n3XYb7733njwnkSS7YMECqVP4/PPP2bx5M5988ok8v71797J06VKWLFkir+Xo0aPk5+czadIk+drH\nH3/MpEmTCA0NlU3WgAEDyMjI4M4772TlypVynxeO7mfxTem0VBX/HXD943NTbnUy6/sz1PxK0F9H\ndVRHtalAr9c72Ov1zvJ6vc96vd6HvF7vAOBVIAZ47gqfyfR6vXOv8PMPQF5RlKHAE0A+0Nvr9T7m\n9XofAPoBNcDbiqIk/lcvogPI/xuVze5izYYsLNVWvFx54qdSHJjYyyuvvELnzp3JycmR761YsYJZ\ns2bxwQcfcMsttwCtIHDAgAEMGTKEL774Qk64R4wYQVhYGBs3bpTAbsaMGRQWFvLjjz9iNBpxOBzc\ncsstxMbGMm/ePDQaDXV1dUyYMIE5c+YwbNgwNBoN27dvZ9myZcyfP5+wsDCampqYPXs2Y8eOZfr0\n6ajVanJycli4cCH9+/dn1KhReL1ePvnkE+Lj4xkzZgzNzc3s27ePO+64g+DgYDweD7t27ZKTrpaW\nFvbv30/fvn0xmUw0NDTIKaMAb4cPHyY4OFha9h05cgSn08ngwYNxOp18//33TJ06lYiICAmMRLCR\n4LGLVNaamhp5HseOHePQoUPccccdBAQEUFtbS3FxMeHh4dhstjace7FaEBQURFVVFSqVSq4C2O12\nTCYTHo+Huro6SQfxTXYVdAhf8acIA4LW1Qej0Yi/vz8tLS2Ul5cTGxuLoihkZWXRpUsXQkJCZPhQ\nY2MjFy5ckLQO4fGuUqmkN7kIi/LlVIsQKpG8KgBlQEAAGo1GAn9xD0UDJIBpQEAAoaGhUkzray/Z\n2NiIzWaT5yTujdAJiPvgO433BfbtBbQCsIsfX5qQALHV1dVtQqN893MlsH4l1xxxXvDPaTi+nxMr\nE2I1wOttDSUTzQsgPfZ1Oh0RERF4vV7Ky8slwNdqtfK6xH5EMyToSdAK8AVdx7eBEDkB4eHh+Pn5\nye9Tq9VSVFSEy+UiNTUVm82G3W7HbDZLAa7X6yUwMJCCggICAgIIDAykc+fOnD9/nqamJiIjI2lu\nbmbTpk1tvPqjoqIYOXKkpK4JC9hOnTpx4MABSkpKcLvdxMXFER0djc1mQ1EUxowZw6FDh9iyZQst\nLS306dOHkpISMjIypMZlzpw5fPnllxQXF6NSqejbty9bt25ts7Jxyy23sHTpUnk/oqKimD17Nk8+\n+aRcJXr22Wex2+288MILsvn59NNPJU1Q1DfffENISAhDhw6V3/1zzz3HPffcQ2hoqLzutLQ0jhw5\nwpw5c2SwlFqtJj8/n9jY2NaAui9ewd1U/6vPjqXZxTdny7B10Gw66j9T/+OT9v93rjVer/fXkjHX\n/P13yn/xEGLpbYHX6631Oe5F4ANAD9z5XzxGB5D/d6ni0gb+cMdq3v7gIK1iVu8/gPk//7EPj98d\njU5dz969e3n55ZdJTk7m1KlTcpvPP/+ce+65h+XLl8tAo6ysLIYNG8ZNN93Eu+++K11ZBg8ezNCh\nQ1m0aJEEA6NHjyYkJISlS5dKq8XrrruOGTNmcNttt6FSqbh06RK33XYbb731lkwn/eKLL8jIyGDB\nggUYDAaKi4u57777WLx4Md27d0elUrFx40a+//57Zs6cSWJiIjabjbfeeotRo0aRnp5OTU0N27Zt\n46677pLAZdWqVdx8883S5aWiooLOnTsjtAABAQESKFksFs6cOUNYWBgBAQHk5+ezbds2xo0bh9ls\nlt70I0eOxM/PD7vdLoOLBDASoLS+vl5SP+rq6ti2bRsmk4mrrroKjUbDiRMn0Gq1hIaGSmcYRVGo\nra3FYDAQEBAgKSPCPtJms0mALISuwq1H0ITgF8Aozktw7H0n42azWYI9ISwVlIO4uLg2LjNlZWVy\n8qlWq2Uqp91up7KyUjYaAhQDmM1mSXNobGykoaEBg8EgJ6vNzc0YDIY2KwfV1dW4XC60Wi0mk0nq\nGDweDzabTX5PTU1NEsjrdDoJyAVobM9hF+BVvCZoIyJ9VgB5cX12u73NRB5a8xPaU3T+MyVA/79K\nrVGr1dJTX7gbCaGxr+uO2F9gYCARERHU1dXJrAHhTiPAvnB08nq9EiB7PK0Jw2IaD8jjejweQkJC\n0Ov1xMTEIKhGIvVY5AjExMRQUlICILnser1eOtiIZy89PZ28vDxqamokDWbfvn3SRx1aGz6hawkO\nDqampgZ/f38iIyO5ePEiZ86ckQ1CQkKC5PZ369YNjUbD6tWrqampITIykujoaHbt2kVNTQ16vZ4b\nb7yRI0eOyNCn6OhoLly4IJtdgDFjxrBt2zb5mk6n44EHHuCll16S9qmTJ0+mX79+3H333fLePvnk\nkwQFBXH33XfLfc2dO5eRI0eSmpoqn82ZM2fy6quvEhUVJXMfEhMTOXfuHPfddx/Lli2T3//58+eJ\nj4+X2gVXcR7aVa8wu2/srz43b/xcyKS1Jyhu+O0E747qqI66Yt3099+nr/BejKIo9yiK8vzff/f+\njf2M/vvvn67w3pZ22/ynqwPI/xuU1+vlwWd+IK+guv07Esx73FauGajjnjkzuOeee1AUhf379/PS\nSy/Rq1cv6WMMsHTpUu6//37Wrl3L6NGtz9jx48cZM2YMd955Jy+88IIMFRo0aBCzZs3iscceQ1EU\nbDYb6enpjBo1iqefflq6n1x77bW888479O/fH5VKxdGjR3nppZd47733CA4Oxul08v7771NXV8ec\nOa0OOvv27WPx4sWsXbtW8m3ff/99zp07x2OPPYa/vz9lZWWsWLGCG2+8kYiICCoqKqitraVfv36o\nVCqKi4vJy8uTtplnzpwhLi6O4ODg1n8UXS78/PykSPTs2bM4nU5iYmJwuVxkZWVx9uxZrr/+etxu\nNzt27GDYsGF07txZxtwL8C4sFQX9Rbzn8Xg4evQop06dYvLkydLqMjc3VwpjdTqd5C3X1NRIvnpj\nY6OcYvtynR0OhxSo2u12VCqV5KuL8gWNwtlFnJfvZLy6ulou7Z85c4Y+ffoQHBwsaS8NDQ0UFRXJ\nxiEsLAyTyYTdbqe4uFjy5gVNRa1WExwcLLnWwtVETPlF0ycoQ+K6GhsbaWxsRK/XYzQaiYqKaiN4\nFSsQDoeD5ubmfwiGEhNn32m8uAdCuOp7nmIlRgB40RQIkCs+LwS2vuJY8Xnf3+3/Tvr+FvVrVpS/\nVhqNRjZvYjWsrq6ujQ2oAJHC8Uev11NSUiLvh2j2fMWwYvVEUGmgtfkS/HshQlYUReojwsPDMRqN\nkori7+9Pbm4ubreb5ORkSaUSk3zRQAYHB1NeXo5eryc6Ohqz2cylS5eorKykc+fOlJSU8N1337W5\n7j59+jBgwAC8Xi91dXUoiiJTiX/++Wcp+E1ISECr1crmd8CAAaxcuZL8/Hz8/f1JT09n165dFBYW\notVqSUlJQafTceDAASnCdrlcVFRUyGP36tWLCxcuUF5eLl+bPXs2n332maR/9e/fn1mzZvGnP/1J\nTvEnTZrEmDFjmDZtmvzeb7/9dh588EGSkpLkqsfYsWP5/PPPSUhIkMeNiooiPz+fhx9+mI8//hho\n/Xt0+vRpEhMT23xPnTt35uKZ/8Pee8dHWab7/+9nZjKZmt5DQgIkoQQUIgiiIoI0XV10BSwg7iqL\nHaXEpbi6dsW26DkL7nEVkdWgSxEVEUGaBAihJSGQBBJI72UmkymZ5/dHvG+eIO7ZPev5Hf1urtcr\nr8CUZ5428Lmu+1MOcf+lsdh0P9wQnmps574v8v8pPUZP9dT/uRvNP+da019RlEMX+/lnDllRlAWK\nojypKMpriqLsBp6mC8S/cJGXXwf8CXj2u99HFUXZoShK4gXbtALxgENV1arvbwZhi5X6z+zrxaoH\nyP/MS1VVvtlzhuMFNT/4D7a/00VTxVp+dcuNbN++nWnTpjF37lwUReHbb79l2bJlDB8+vJtTw3/+\n53+ycOFCGaoEsGfPHn7xi1+waNEi7r//fnQ6HaWlpVx55ZU888wzTJs2DeHwcckll/DII48wffp0\ndDodRUVF/OpXv2LDhg0kJCSgKAqffPIJmzdvZunSpVitVurq6lixYgWpqamMGTMGv9/PypUrKS4u\nZvny5ZhMJlpaWnj66afxeDzMnTsXvV7PgQMHpF+9qqqcOXOG0aNHSzC6c+dOLr30UoKDg+no6ODI\nkSMSiAvLQ2FH6XK5OHjwIBaLhfDwcKqrq9m1axcpKSnS43rHjh1MnTpVUmeE+FVQRYRjjHDGUJQu\nd5u9e/fi8/kYMWIEBoOBgoIC6SIjaDk+n0/aOtrtdgkghc1jZ2cndru92+sMBgMOh0PaAgpgrKWl\nCLGkw+Ggrq6OoKAgOZktLy8nISEBn89HQUEBCQkJ9O7dW1JoBGAX1JXQ0FCioqLwer00NjZKapUA\nKjqdDqvVKm0chWWm8DIXDixCVOpyuWQzdPr0aXQ6HXa7naioKKlh0G5bbFOsiGjTaYU1ppiea3nx\nwPeAvKCXaKf7Xq9XOgCJBk/QKy5mN/k/mdD/d+BKPC9AqmggPB4Pzc3N8nwIv3vx2qSkJGlLKfZL\ngGpA6hEEv1s0BNqmBZDNg8/nIzIyEpPJRExMDF6vF6fTSUhICDU1NZLWlZSURFVVlXS3EY2WzWaj\nra1N3oOXXXaZ1KMI0ezLL7/c7diHDh3KmDFjZFPX1NRESEgIsbGxHDx4kIqKCiwWCzExMfJ7azKZ\nGDduHFu3bmXfvn3odDpJU8nPz5f37eWXX84333wjmxG73d7N5jI6OhqPx0Npaal8bMqUKezevZuy\nsjJpebl48WJmz54tKTEZGRncd9993HDDDfJ6jB07ltdee43k5GTJf8/IyODLL78kLS1N2lGGhYVx\n7tw5HnvsMVasWCGvWU5ODklJSVitVnn9+vbtK92KsnduZ4a1DrPS/f7TMg+O1znYUdbQA+Z7qqf+\nfi0Afg/MA66ka4I+QVXVOs1r2ukC+BlA6Hc/Y4AdwDXA19+Bd1HB3/3+IR6ceDzkX935HiD/My63\nx8fc+Z9yz7zzEeZa8R3AL6eksfzJoQQoNbhcLqZPny653gKM79u3j8WLF3PllVd2s1hbvnw5mZmZ\n7NixQ060t23bxrRp03jhhReYMWMGiqJQUFDApEmTePfddxk9ejTQRccYPnw4K1as4IorrpBNw7x5\n89i4caOkWLzxxhu4XC6mTZuGyWTixIkTfPDBB9xyyy307t0bt9vNokWLGDVqFDNmzMBgMFBSUsLr\nr79OUlKSTJv95JNPsFgsTJgwgdbWVk6dOsXkyZMlWPn8888ZM2YMAQEB1NTU0N7eTkxMTLcJqRDu\n1tTUUFpaKqd9p0+fZufOnUyePBmdTsfRo0exWq2MHDkSo9Eop4OCtiFoGgJ4ianp4cOHqaio4PLL\nLyc6Oprm5maKi4sJDw+XfHBVVaUINT4+XgLdsLAwCWAtFoucpns8HoKCgiRXXXDGxSRWANfg4GBM\nJhNtbW1UVVVJe0KPx0NFRQVRUVGYTCaqqqo4d+4cw4YNkzznzs5OKisrpUuJTqcjJiZGgkIxMRUA\nRthCCrqQCOdxOp14PB4ZbiXAXUtLi9QalJSUAEiOvHDqEbQdAcgFT157zAKAC7qMVtSq9bDXpsMK\nAahwhNFeN+gOfLXfLbEtbbOgrb8ngP1HSrw2MDBQfobP56OlpUU2FVp3Iuji0iclJVFXVyeDuC4U\nuYoGSlGUbhQbq9Uq3ZCgi6Ijro/VaiU2NlY2pCJ998iRI6iqSlpaWjcBNiBXA2w2m0yOTU1NRafT\ncerUKVpbW0lOTuall17qFvokROGC7nX69GnpYnT69GkKCgqwWCxYrVa5qhYSEsIll1xCVVUVW7du\npaOjg4SEBOrq6jhx4gTt7e2YzWauvvpqsrOzqaqqknqPyspKeW4CAwMJCQmhuLhYntOMjAyqq6sp\nLCzE7/cTGhrKU089xcMPPyyn80lJSSxZsoRf/vKX8lgGDRrEmjVrSEtLk2C/X79+ZGdnM2jQIEkj\nstvtVFZWsmTJEt544w15Xffu3Uu/fv0ICQmRTVtaWhrFxcXSRaulpYUhoQF8Pu0Sbk6L+kH68K83\n5/PbL/Jxd/7PKWE99e9SCqry8/j5Tu1dqKpqxsV+/pmjVlU1RlVVBYgBbgb6AIcVRRmmeU2tqqpP\nqKqaq6pq83c/u4AJwH6gH3DPj3Qh/qnqAfI/43rlrW/ZtvP0D79A7STEfIapN13Hp59+KoVss2fP\n5sMPP+Tmm2/mgQcekFPtxYsXc+2113azf3vppZdYvHgx2dnZDBgwAIBPP/2UWbNmsWrVKiZNmoSi\nKOzfv59bbrmFbdu2kZaWBnQJZceNG8e6devo168fAOvXr+f999/n7bfflm4bS5YsYcSIEQwbNgyj\n0cj27dvZtWsXc+bMwW63U19fzwMPPMAf/vAHBg8ejKIo7Nq1i02bNnHDDTeQmpqK1+vlvffeIzU1\nlcGDB9PQ0IDb7aZ///7o9XrKyspwOBwkJSWhKIoE0FartRuwEdPd/Px8mpqaSExMpL29XYbWDB06\nFJfLxY4dO5g4caIMxxIhTQI4CW61ANg+n4/W1lays7PR6/VccsklGI1GSkpKaGxspE+fPt2Eh9XV\n1URERGAymXA6nQQHB0uvb0AmfJaWlhIXF4dOp5P7oBVhigmzoMQIgavwi4eupstgMEjKT2lpKcnJ\nyfTq1UvaO3o8HhobG2ltbcVgMBAcHCwtSQUFQet77na75fns7Oyko6MDt9tNW1ubfFwATQHIOzs7\nKS8vl3ztkJAQwsLCugFZARTFlF+4qgAy8VTbnGkn8gIcaznl2mm0WLUAugF8sZogHpdfrwsA/MWA\nuvax/24qeuH7BV3K4/HIBka4vIjj0QqBQ0JCJK3mwvAr0diJ94gpvbb5Eg2CoGgJX3iRtivSemNj\nYykqKqK1tRWbzUafPn1ktoFo3IQ7knAZstlsXHrppRQVFVFeXk6vXr3429/+1m0aHhERQXp6Oldc\ncQVNTU3dwsT0ej2HDh2SjWtcXJxcGYiOjiY+Pp5PP/2UyspKwsLCCAgIoLCwkNraWqxWK+np6VRU\nVFBcXIxOp8NkMlFbWytXIAASExMpLS2V56RXr14YDAby8vLo7OzEYrGwYMECnn/+ecrLywGIjIxk\n6dKl3HXXXfL8xcfH87e//Y2MjAyZ+BofH8+hQ4fIyMigoKBAnudz587x9NNP89JLL8lr/vXXX5OW\nliYtYKErbKqwsBCn0ym5+0FBQUyYMIG+0WHEVR1F8ft+UAP41ZkGlmef+bv3X0/11L97qapao6rq\nerrAeTiw+h94jw/483d/vVrzlJiMBHPxEo//y7HMPUD+Z1pny1v4YlvRDz6vKH70nm/465oVvPTS\nS4wYMYKvv/6a4OBgPB6PFFT98pe/5MEHH5RLuYsXL2bSpEndvJSff/55nnjiCXJycujbty/QZVcp\nePSCerN9+3Z+/etfy9Aj6LJcmzlzJlu2bCEqKgq/389bb73FmTNnWLRoEUajkba2NjIzM7nrrruI\njY1Fp9Oxbt06ysvLmTFjhoyif/bZZ1m1apWkdaxevZpjx47xm9/8huDgYJqbm9mwYQNXXXUVISEh\nNDU1kZKSIqf/O3fuZNiwYVgsFlwuF6WlpTLFVEwqxXTX4XCQn59PUFCQFNvt2LGDkSNHYrPZOHv2\nLFVVVYwbN66bJ7cAqAJwiim9wWCgo6ODY8eO0dLSwuDBg4mOjpYONoGBgXLS7vV6pf96TEyMpD+E\nh4fj8/lwOBzSpaaqqoqoqChsNpsE8qJx0O5PXV2dtI5samqiqqqK8PBwyXmuq6sjODgYnU5HVVUV\nTqeToUOHSlpHR0eHdJVxOByEhYURERGB1+ulublZ+rFrmwcRHCSEsA6HQ+6j4G2Lqbl4b2trK/X1\n9QQGBmKz2YiMjJROMYIGI86poG8I73y32y0Du4DvTeRFaWk64rWCGiWAqGgChPhVm+qqFbxe6Ibz\n/e/hPw7kL9Q3iEAw4QgkdA5awKylBsXFxdHQ0EBNTU23/dQ2M9rjFbx5IXIVrwsLC5PHGxoaSnx8\nPC6XC4/HQ0REBJGRkeTk5ABdLivt7e04HA65fY/HI5NoRcjUkCFD6Ojo4Pjx4+h0Os6dO8fBgwfl\n8QYGBjJs2DCGDh0qG5eioiIiIiKIjo4mLy9P3rNCz2EwGAgNDWX48OFs2bKFY8eOydWCU6dOcebM\nGQIDA4mIiMBms0lALjIUtCA+KSlJOgFBlwVqTEwMx44dw+v1YjQaufvuu1m3bp2c2NtsNh555BEy\nMzPl1D00NJRPPvmE8ePHywY3PDyc7OxsxowZw7FjXdo5k8lEXl4eL7zwAs8++6y8Pl9++SVDhgwh\nMjJS7t+gQYM4ceIEbW1tfPnllzgcDoKDg5kwYQIWi4U//elPrF7+DMbtq1H854/p/D3Y9fvz4jrO\ntrj+7j3YU//mpfzMfv6XSlXVMqAAGKQoSsQ/8BZBwZHUGlVVnUAFYFMUJfYi7xGOOKcu8tw/VT1A\n/mdYaz85xnU3v0dl9cWDP9IHRLHz099wzRVd4UzvvvsuixcvZuDAgezdu5ewsDB8Ph8LFy7kjTfe\n4MYbb+SRRx7BYDCQk5PD448/ztSpU1m9+nwz+swzz/DMM8+Qm5srXSLee+89HnvsMbZs2cLgwYOB\nron7/Pnzyc3NlUmrX3zxBcuWLWP9+vXSjeXJJ5+kT58+3HTTTej1eioqKnj55ZeZM2eOXI5fu3Yt\nYWFhjB49GkVR+PTTT8nOzubJJ5+UbhtvvfUWDoeDWbNmodfrKSoq4sCBA0yZMkV6laenp2M0GnE6\nnezdu5fLLrsMo9FIQ0MDLS0thIWFSYAoRI+qqlJRUUFeXh5JSUnodDoqKio4ePAgo0ePxu12s2/f\nPoYOHUpKSgqKotDR0SFBqvB0F4mtInSntbWVw4cPExwcLHn6p0+fxuVyERkZKYFfe3s7lZWVpKWl\noapdgUvCxaW9vR2DwSCj6k+ePEliYqLkqQuOvtvtljx50bQEBQXhcrk4c+YMNptN0mvOnTtHcHAw\nAQEBVFdX097eTp8+fWTCaktLi6ReCF58cnKyDH0SVA5FUWT6qMlkkufD4/FInrAAU2IyLlYhRJhX\neXm5FMZGR0dLqtKFzYlodgRoFIBXy5EXJf4sADGcF32KPwuwL94v/i6aAy0oFiWoOj9U2tf/o1x6\nsa9CayBAdmtrazdrTK0jj9FopHfv3pSUlHTTAGhXZ7TuPeI4AXlPATLHoKOjA6vVKh2cxKpVr169\nOHz4sKR4Cf63aAqEO1JISAg6nY6mpiaioqIYMmQI2dnZ0jZ13bp13Y45IyODwYMHk5SUhMfjoaio\nSNqQOp1O8vLyJEg3mUw0NzcTHR1NRkYGx48f59tvv0Wv1xMcHExJSYnkuIsVg/z8fBk4JppuUVFR\nUdTV1XVLDE5OTpbZFHq9nilTpnDkyBHy8vLw+/0EBgZy7733smLFChoaukwGLBYL7777LnfccYfk\nv9vtdr7++mtuvPFGjhw5AnTda7t27eJPf/oTL7zwgrzWGzduZODAgURFRUkQP2TIEPLy8mSybHt7\nO6GhoUyYMAGTycSrr77KihUr8Pv9XB7kZ9ddo0iPPE/T1U7oKx1uxq09yNq8yn/oPuypnvo3r7jv\nfv8jPq4jv/t9IUVi+3e/J13kPZMveM3/uHqA/M+scg5X8MTz2/H9Hb5jxZlthAQZWLlypbSQ3LBh\nA/fffz+JiYnk5OTIic8TTzzBs88+y/XXX8+8efMwGAwcPnyYzMxMpk+fzqpVq+R2n3zySV5++WVy\nc3NlcNKqVatYtmwZO3fulFaSa9as4dVXX2X37t1ymX716tWsW7eOVatWSaDw2GOPMX36dIYOHSod\nGj7//HOmTp2KyWSisrKS9evXM2rUKJKTk/F4PLzxxhukpKRw8803YzAYOH36NO+88w5JSUlcd911\nqKrKgQMHqKys5JprrpFL0MIdprS0FJ/PR1RUFIqiUFNTg8lkkmmkwqlFOKGUlZVRU1NDr169aG9v\np7CwELPZTFxcHI2NjRw7dowJEyZImpBIVxX0BUBORoUDzPHjxyVNJzg4uNtEXIBWYY8ppo4Oh0NS\nWgRNR3jKnzlzRrqVeDweKQAUXvKKotDQ0CDpMyKZ1el0YrPZ6Ozs5Ny5c1gsFkmlEeBs8ODBkpIl\n3FIEKBciSMGBFwBTuOoIn3fxuADvgm4kzpMoweevqqqSgVTC/UZM+bXcfwHkxSqEAPGCIw/nJ+ja\nlFbtdrTUEi2tRtsIXAzI/6N89/+JyFDsqzh/4rja2trktFqIXMW9EhgYSHR0NEVFRfKcah18xHvE\nfSm2qV3tAGRiq6qqhIWFkZiYKO0R4+LiCA4O5uDBg/j9fgYNGoTD4ZDaCeF4Y7PZZKNsNpsZNmwY\nxcXFnDlzBqPRKP3RRQ0cOJBBgwaRmpoqw66qqqoIDg4mKipKpr9GRUURGhrK2bNniYyMpG/fvjIf\nQtBsqqqqqKqqkunJvXv3pqKigtraWnnc2km81WqV3wVRffv2pbS0FKfTiU6nIyMjg+bmZg4cOCA1\nML/61a9Yt26ddJ0xGAy8+OKL/O53v5M6D7PZTFZWFvfccw+HDx8GumhnH374IR988IGk0yiKwl//\n+lfS09NJSEiQ12LYsGEcPXqU5uZmvvrqK5mWe9111xEYGMhTTz3Ff/3Xf6GqKqNHj+b9998n3m4i\nzVt7Ua48gM+vsnRnEQcrf9iHvqf+zUun/Dx+/sVSFCVVUZTv0V4URdEpivIsEAV8q37n/64oyjBF\nUb6HmRVFGUdXQix0pbZq60/f/V6iKEqo5j1JwAOAG/jLv3goPUBXeaHSAAAgAElEQVT+51QdHV4+\n/jQfv1/9QYDQ2X6IyjNbuOaaa6itreXFF1/kzjvvRFEUvvnmG2bPnk1oaCiHDh0iLi4Ov9/Piy++\nyOLFi5k8eTKPPfYYBoOBo0ePsmDBAu644w5ee+01uf1ly5bx1ltvcejQIUmV+eMf/8hLL73E7t27\nJcB/66232LBhA5988gmBgYH4/X5eeeUVioqKWLZsmUzLfPjhh8nMzKRXr14oisK2bdtobm4mIyOD\nwMBAjh07RnZ2Ntdffz0hISE0NzezZMkSHn30UYYM6bJv3bt3Lxs2bOD6669nwIAB+Hw+tm/fjtFo\nlEK83r17y6biwIEDDBo0CLPZLMWeVqtV+maLCaZYgj916hR6vV76cx89epSMjAxUVaWgoICYmBj6\n9+8vrQuNRqMErWJ7Ynne6/VKP/qoqCiSk5Ml1cBut0vApdfrcTqdnDt3joSEBGnDFxUVJbcjAGpD\nQwPNzc1ERkZKqomWIgJIaoTZbJa868rKSqxWKwEBAdTW1ko7Q8FnF57y4eHh6PV6qqqqcDgcBAQE\nUFdXR0hIiAR+LS0tEjSLKbI4h2K7Op1Ous2IFFGts4rP58PpdErag06nkxNYUWLqrygKHo9HcvYF\nCNcKVbWCVDjPkxfXRWvDKGxDBajVgn9BZ7nQn/5/qwTwFq4/QsgrRKPaBkS4EwnryObm7nRLscok\n7mmte484N1pgGxwcLEWr4r5zu93SmWbfvn0yVCkxMVH694sGzWg0EhoaKu+3+Ph4KfJ0u91kZWV1\n27/4+HjS09MZMGCA/H4eOXIEm82GzWajsrKS2tpayYuvra0FupqKhIQEsrOzOXfuHEFBQRLA19XV\nYbVa5YqgsJ4Udpji2gk9iViNAOjduzfV1dWSKtO3b1+CgoLYt2+fpIJNmDCBvXv3Sp68oihkZmay\ncuVKyX83Go28/vrrLFu2jEOHupzw9Ho9r732Glu3bpXCVkVReP/99+nbty99+/aV34eMjAwOHTpE\nQ0MDX331FR0dHURERDB+/HgCAgLIzMzko48+QlVVJkyYwNtvv43X6+Wjjz4i+Mwh0t0/PHVXgU8K\nq+nw9QRG9dS/dU0BqhVF+UpRlFWKojyvKMo7dNlCLgaqgXs1r38VOKcoyjqly6byNUVRvga20RXs\ntExV1W+1H/Dd318F+gLHvnvPW0AOEAYsULvCof6l6gHyP5M6W97MTXeuJWtDHjLw6QIw8ekHt/P0\n4gkYjUbKy8sZN24cJ06cYPHixdx///3o9XoOHjzIjBkzMJlMHDlyhN69e6OqKm+++SYPPvggEydO\nZP78+RiNRvLz81m4cCF33303Tz/9tPycxx9/nLfffpvs7GzCw8Pp7OzkxRdfZOXKlXz11VdERkbi\n9/t5+eWXKSws5I9//KPkbT/xxBPYbDZmz56NwWCgurqaZcuWsWTJEimOy8rKIiUlRU7Rv/76a2pq\napg8ebKkorz00ks8++yzREdH43a7Wb9+PdnZ2fzmN78hNDSUjo4OtmzZwiWXXILFYpFAQFBsCgoK\npKd0e3u7DCwS4UZiMt7Z2Ul1dTXFxcVYrVZMJhM1NTVUVlbSr18/nE4nhw8f5tprr5XCWQFitQJD\nQSMxGAw4nU727NmDxWLh8ssvJzAwkObmZjo6OuSEXADT8vJy4uLiCAwMpKGhQXL2xfRacLi1E30B\ngrX3h9vtpq6uToYyCbcYQZEQTjlitcTn88mJf+/evTGbzbhcLjmBFB78sbGxdHZ2ymmsoijY7XYp\neBQWlmK1Q0zM1e88zMUqhtlsliBcVVXq6rooh8JdRzsB16521NfX09nZ2Y3SJJocsRIiQLlobkRj\nIUC8dmItti+ORegDBJC/0LnmXwmH0pb2+MT+CF2FOGeC+qEF4cIiMzo6miNHjnTzlP8h5xzt+7XH\nK66BsI3s27cvLS0t6HQ6+vTpQ0BAALm5ufj9ftLT02ltbUVVVXn/GY1GIiIiMBqN1NTUEBISwpgx\nY2Rzvm3btm4ONeHh4QwePJhLL72UiIgI/H4/RUVF0rY1NjaWvLw8TCYTvXv3xu/3U1lZSUxMDAMG\nDKCkpITjx49jsVioq6uTTbmw7AwPD6ewsBA4f7+KEs2fNh03MjISp9MpQ6AiIyNJTEzk22+/paOj\nA0VRGD58OCdPnuxmT3nPPffw+eefk5+fL7edmZnJ22+/zaFDh+Q9tmjRInJzc1m5cqW8FqtWrSIy\nMpLhw4fL6zBixAhycnKoq6tj27ZtuN1uYmJiGD9+PAaDgUceeUQaEkydOpXXX38dt9vN+++/T3Fx\nMcaAAF79xWVsniYNN75XH52o5qZ1uT2c+Z76fonlnJ/6z79e24D/AiLpcqpZCNwCNAJPAYNUVS3Q\nvP594DAwnC6Afz9dPPcs4GpVVZ+52IeoqjqfrvTWamAOMAvIB36hquqbP8aB9AD5n0H5fH7mzt90\n8cAnMV3S1+FoLWXmzJmsXLkSi8VCQ0MDN910E7t27eKBBx7g8ccfl/7lt9xyCy6Xi9zcXPr16yfp\nL3fffTfXXXcdixYtwmQyUVhYKKPEtZHjmZmZrFmzhu3btxMcHExnZyfPPvssn3zyCZs2bSI4OBiv\n18tTTz2FXq9nwYIF8j/O+fPnM3LkSMaPHy/t6N5++20eeOABGTT03nvvcd1118nAls8++wyr1cqI\nESMA2LVrF7t37+axxx7DbrfT2NjI2rVrqaqq4r777kOn09HS0sLmzZu55pprUFWV3r17y6m3SDEN\nDQ1FUbq87z0eDyEhIVLwKoBSe3s71dXV1NTUSP7quXPnCA8Ply4hOp2O/v37S991q9XabboLyBAk\nr9dLRUUFubm59OnTh759++J2u6mqqsJut3eb4Le3t9PS0iIBvtvtlt7xWvqI8OUWAPVCAWZnZ6d0\nCBHcYyFcFd7z5eXl2Gw2yeUXr4uIiJCUnNLSUtnk1NXVkZiYiKIo3aaaAni7XC6ZDmswGDCZTHLq\nLkqAb0GfEcLS6upqyXnWAnkBqEVj0NzcjMvl6uaQI7j0FwJ5LSVFm2Kqbba0nyMaOeHuop2CC6D8\nYwH5C4WuqqrKlSy3243L5eqmD1BVVa5y6HQ6oqKiKC0t/R54F9sSYFK8V/t54riENkWv1xMXFyfv\nt6ioKJKSkti1a5cMUYqKipLah7a2NpxOJ6GhodjtdsrLyzGZTPTr1w+Px0NJSQk7d+6UDi7QxSdP\nTU1l6NChxMTEoCgKTqeTwsJC9Ho9iYmJ5OXl4fP5iIiIICoqihMnThAUFCS1GSLErqWlBZfLRXV1\ntbyeYWFhlJeXyym8toHQ6XRyQq89dlVVZcqtzWajf//+7N+/n/b2dhRFoX///tTX13PmzHn3l5tv\nvpnc3FyOHj0qz/GcOXP4/PPPyc3NlQ3Tb3/7W86cOcNf/vIX+dirr76K2Wxm0qRJ8nqMHj2a7Oxs\nampq2L59u2yWx44dK7e9bds2dDodt912G88++ywOh4N3332XiooKzGYzd9xxBykpKUTRQYJ6cR0V\nQFFTO3O35OPz93jM99S/X6mqmqeq6oOqql6qqmqEqqoGVVWDVVUdrqrqk6qqNl7w+v9SVfUGVVWT\nVFW1qaoaqKpqoqqq01VV3f3ffNa7323XqqqqXVXVMaqqbv6xjqUHyP8M6mRxHYVF9T/4vCmgBbN/\nF48++igbNmxg4sSJrFu3juDgYBwOB3fddRfr1q3jjjvu4PnnnycwMJDS0lJ+9atfUVtbS05ODunp\n6aiqyscff8zUqVMZM2YMjz/+OFarlZMnT7JkyRLmzp3LvHnz5OdmZmbyt7/9ja1btxIUFCSB+65d\nu1izZo10UsnMzGTgwIFMmzZNUkYeeughZsyYwaWXXopOpyM3N5ecnBxuuukmjEYjLS0tfPTRR3IK\n1dDQwPbt2xk8eDB9+vTB7Xazdu1aQkNDmTJlCkajkeLiYj7++GOsViu33XabBLj79+9n2LBhBAYG\n0rt3bwIDA/H5fBQWFpKQkCCbhZaWFrxer5wOiv9wFUWhtraW6upqGhoaCAkJob29ndraWhITE3G5\nXBQWFnL55ZdLAC8oNmJCKkCmABrt7e1s27YNu93OqFGjsFgs1NTUYLFYZFCVAO+1tbWEhoZiNBpp\nbW1Fr9dLMaHYfltbm2wUAOmaI3jRqqpSXV0tOb4mkwmr1SopEF6vV/KIBT8/JCRErkIIK8r6+no5\nfRUrCKLhALrRi7T0GkBaGAphZEdHh6T5CMtJv99Pc3MztbW1MhgqJCSkW+MigL+YWAvxr/h8cZ61\nQFusjggQK4CcOFdifwT1RLxXTPh/iFbzYwF5UVouvwDpQpcgmhPRcAi7U3G/iEmydlvinGmbD62D\njzgWkSwsGsiUlBSam5sxmUySCy8cVwYOHIjT6ZSrFeXl5ZjNZhITE/H7/TQ2NhIZGcnIkSPZsWMH\nOTk5UvwpzndycrLkxQcEBGC1WsnJycHpdEpb1MbGRsxmMykpKZSWluJyuYiOjiYhIYGcnBza29sl\nFUvw3IXvvaqq1NfXy3tbW0IHIr47gYGBMmyus7MTs9nMwIEDOXr0qFxpSkhIkEFR4pxdd911lJWV\nceTIEXkfTJs2jezs7G6PTZ8+nYqKCkmFURSFP/zhD6iqysyZM+X2xo4dy+7du6murmbHjh14vV7i\n4+MZO3YsPp+P2bNns3fvXnQ6Hffccw/Lli2jvr6ed955h9raWux2O3fddRcJCQmUlZXx3nvvMbo5\nj2jaubDEQLOwwUlRo/N7z/fUv3H9M64x/5c/PSWrB8j/xGvluwe56c61P/j8b2dfxs7ND5Oa0guP\nx8Nzzz3Hf/7nfzJ06FC2bt0qqScLFixgxYoVXH/99bzxxhtYLBaqq6uZMWMGJ0+eZM+ePXLa/fXX\nXzN+/HhGjBhBZmYmdrudkpISnnrqKR544AHmzJkjP3/x4sVs3ryZ9evXy2nu0qVLOX36NG+99ZZM\neVywYAE33ngjV111FTqdjubmZubNm8dDDz1EcnKy/FxVVWXyaUVFBdnZ2Vx22WUoisKJEyfIy8vj\n6quvJiwsjJaWFlasWMH06dNJT08HuvjyW7ZsISMjgyuvvBKfz8fRo0dxOp0kJSURFxcnw5fa2tqo\nra2VvHOXy4XD4cBoNGI2mwHk1FNQbOrr6yV4ampqwmw2YzKZaGhooL29ndTUVEkR0aZjXmjL6PP5\nqK2t5fPPP+eKK66gV69e+Hw+6eohgqACAwMl5UXQcoRoNSAgAEDSWNra2mSQjwDPQuyoKAqNjY1y\nIi04/wI8d3R00NTUJIGGoKzExsYSEhKCzWaTQtvi4mIZVNTR0SGdiARYbGpqwmq1Sm63sDq02Wzy\nfa2trfL4oGu1QtBwRFMiznVUVJSkfQByxUJwyIWbjrZ50dJgtOBcC2wF51kAuwsBn2g6BJC/cAL/\njwpe/5kSjZQA8qKR0IqoxUqROF673S5F3NoSKxLaYChxHrQ0IkVRJHVKURRCQkIICQnB7XYTHR1N\ndHS0TCW2Wq2EhYVJ0F9fXy+b38jISIqKiggODpZCzePHj0u3FlG9evUiLS2NkSNHyuMoLi6msrKS\nzs5OEhISqKiokLQuVVUpKSkhODiYpKQum0jBhxdTfuGkJO6XsrKyi15Tsd9aEG+1Wmlra6OzsxOT\nyUSfPn2kT76iKERGRhIQENDNY3748OHU19dz5MgR+diUKVM4ceIER48elY9df/31NDQ0sHnzZnkv\nLlmyBIfDwWOPPSbv6fHjx7N161YqKyv55ptv8Pl8JCYmMmbMGNxuN7NmzSInJwe9Xs+DDz7IvHnz\nqKioYPXq1bS0tBAeHs7dd99NZGQk+fn5/PWvf8XlcpEaH83W2WP47dBemvui+z13Q9YhVh4++z+4\nW3uqp3rqp1A9QP4nXH/bXMCLf9yN/weWPlXVR/bOvxAREcp7773HyJEjUVWVd955h6VLl5KQkMCO\nHTtITk7G6/XywgsvsHTpUq6++mr+/Oc/ExwcTGNjI3fffTfZ2dls27aNsWPHoigKBw8eZMyYMQwa\nNIjMzExCQ0M5ffo0zz//PA8//DB33nmn3I+lS5eybds23n//felYsnDhQpxOJ08//bT0Kl+wYAFz\n584lPT0dnU5HbW0tixcv5tFHHyU6OprOzk42bNjA4MGDpQhUpEAmJCQAsHPnTjweD9dccw0mk4my\nsjJWrVrF/fffT0xMDB0dHXz66afk5ORw6623kpycTGdnJ19++SXR0dFERkaSkpIiU0eFh7vdbkdR\nupIrXS4XoaGhEjAKwCQ8zquqqjCZTHJSn5SUhMPhoKKigrS0NMkR9/l8mM3mbg4hAjSLKfbBgwep\nr69n/PjxmEwm6uvrJc2kra2tm7BReK8Lmor4LXjKgucvwLl2uiuaC5fLhdPpxOv1YrfbJbVIeOfX\n1dUREBCAw+GgsrKSlJQUKYiNiIiQuoba2loCAgKkW4jgvQugBOddaARQ1ul0REREyP0VIklhOyka\nE6Cbb70I7hIAVtBdRLPgcDjw+XwYjcZuE3mtZ7p2dQXo5nsvJvtutxtFUaSeQzQiYqqr5cZ3ff9+\nfEqC2EdxrMIbX6woCK2FaBLFZL6+vv579Byxjxfy7y8MzDIYDLIp0uv1JCQk0N7eTlhYGElJSTQ0\nNFBYWIjBYKBv376Sq+/1ejl9+jQmk4nBgwdTVlZGe3s7vXv3Jjw8nJycHL744otuxxcZGUlqaioj\nRozAZrOhKAo2m42DBw9SV1cnw6WEzWJiYiJHjhxBp9MRHR1NWFgYhYWF8rsosgfEd0yEOjmdzu81\nNqKhFOdJcOnb29tlYxgfH09NTY106rHb7VitVsrKyuT3cMCAAXi9Xo4fPy4fu/rqqykrK5Ne9dA1\nYW9sbOTrr7+W38cFCxZQUVHBiy++KPdr/PjxbN68mcrKSnbu3ElnZydJSUlcddVVOBwObr/9do4f\nP05AQAALFy5k7ty5nD59mg8++ACn00lcXByzZ88mODiY/fv3s379erxeL2lpacycOZMgq4Wyz9ei\ndHovSi1WgRf3nWH9yZp/4k7tqf8nS+H/3o3mH/3pmcrL6gHyP+Ha+MUJ+AGwoNBJR8Nm9uz6lKuu\nugqv18uKFSuYOnUqAF9++SX33nsvZrOZHTt2MHToUAny7733Xi699FLWrFlDZGQkbW1tPPzww2ze\nvFmmpep0OvLz8xkzZgzx8fEsWrSIiIgISktLeeWVV3j00UflZ0GXNWV2djb/8R//0c1e0mKxMH/+\nfAIDA2lsbCQzM5OFCxfSu3dvAMrKynjjjTd46KGHCA4Oxu12s2bNGsaPHy9dcXJycoiOjsZut+Px\neFi/fj29evVi2LBhMpV23759zJw5k+DgYOrr6/nwww+pqqpizpw5Msp948aNpKSkEBcXR2JiogTG\nVVVVhIaGdrNS1Ov1EuwLz3YhwmxqaqKjowOPxyOBY1RUFA0NDTgcDuk+IfjsYvorrBgFvUVM5Xfv\n3s2ll14qnXsExUMAXSFoFeLT5uZmVFUlNDRUTrQFjUhQYbR8bzGBVVWVxsZGXC6XFHzabDZCQkLQ\n6/U0NjZSUVEhVwwqKyslX1mkzAYFBeF0Ojl9+rSkMAhqktgnwenW8rmFC45w1tHy4QWYAqTtZH19\nPS0tLbS2thIWFkZQUJCcVosGy2KxAMiwKeB77jVaSs2F7xegXdBVhKDRYDBIKovP55P89B+bRvO9\n77TS3fddNJZiNUAcl6IoMhAMkM2Zti4G2MU50Npo6vV66d4i/NHj4uKkgDYgIEBO1MVKkNlsxu12\nU1ZWJjns4t+GoKAghg0bxoEDB75nMxkSEkJycjJpaWmkp6fLZnLPnj3U1dXJFRuv14vf7yc1NZWi\noiK5wtO/f38OHz4sm2bR1LW1teHz+YiOjqahoUGuPGnrQhcp0QSLrAnRqDocDvl+q9WK3W7n3Llz\nsilISkrCaDRK/j50TeerqqooLCyUIH7UqFE0NTWxf/9+uepx3333UVhYyF/+ct5tbtKkSWzYsIHq\n6mp2796N3++nb9++jB49msbGRmbNmsXJkycJDAxkyZIlzJo1i7y8PLKysnC73SQlJTFz5kzMZjPb\ntm3jq6++QlVVhg8fzq233grA7bffzpYP3kH94s8ond8PjBK1qagHyPdUT/0cqwfI/wSrrsHJrPvW\nsfvbM4AKqr8boI+LsbNz8xxm3JKBoigUFhYyYsQISkpKWLx4MQ888AB6vZ4jR45wxx130Nraymef\nfcb48eMB+Oyzz7j55ptJTk7mo48+kjzvZcuW8c4777BmzRpuu+026dM+ceJETCYTCxYsICoqirNn\nz7JixQoWLlzI5MmT5X794Q9/4MSJE7z00ksSnD322GPExcXx61//GqPRSF1dHX/4wx9YtGgRUVFR\nAOTn57Nu3Tpmz54tHVSysrKYPHmyTLbMzs6mf//+BAQE0NjYyKeffsoVV1xBUlISnZ2dbN68GaPR\nyJgxYzCbzZSUlLBmzRosFgt33303VquVmpoadu3axcCBA0lLS5M88+bmZrxeL0FBQTJkyeFwSEGo\nSKoUwEqksQYFBeFwOPB6vcTFxeHxeKivr5fAU0xPzWZzN6oMIKkSTqeTI0eOUFFRwRVXXIHFYsHt\ndsv//AU9wOv1SpDe2tqK3++XLjVCUOpwOGhra5MBSVrAJsCr1iMekPx3sZJSUVEhp5uNjY20tbXR\nr18/IiMjMZvNmM1mCfrPnTsnRYICOGlXIwSYFE4+Xq+XmJgYqVEQk2ZBH9HpdNKCUDRJorEQNpTa\n0CbRHPj9fpqamrqBN7EPWvtF7Z9FMyFcX7Q0DNFwCUqNAPKitJP9H7PE6oAA3IIyJYCnaEyMRqMU\nNet0uotOn7WCVrHiotVUaAOitNsKDQ0lJCSE8PBwbDYbHo+HkydPotPp6N27t6Tf1NfXU1FRQVBQ\nEKmpqRQUFOD3++nTpw9tbW08//zz3a6HzWYjKiqKlJQUrr32WkmH8nq95Ofn09jYSFJSEl6vl/b2\ndpKTk/H5fJw+fVqC25qaGpxOJ0VFRQQEBGA0GqmtrZVaDbPZTHl5ebdrBch7RCt+Fsfc0dEh8xk6\nOzslpcxisWCz2aipqZHnLDY2FpvNRkFBgXwsPT2d+vp6Tp8+LT936NChMmNCnPdf//rXHD9+nE2b\nNsn9mjJlCh9++CG1tbXs2bMHVVVJTU1l1KhR1NbWcvfdd3Pq1CkCAwNZunQp06ZN48CBA2zcuBGv\n18vAgQO5/fbb0ev1rF+/nn379gFw7bXXMmnSJJqampg0aRL79u1DURRuG9qHnXeNJtZqvOj9t/Ns\nE3d9eoz6ds9Fn++pf5MSrjA/9Z+ektUD5H9i5fb4uOfhv7Enu+yCZ9TzYN5bitHg5rXXXuPpp5+W\nPuDXXnstX3zxBbNnz+app56S1JM77riDkydPsnr1am6//XYURSE7O5tx48ZhsVjIyspiwIABeDwe\nXn/9dZYvX86KFSuYM2cOAQEBlJeXc/PNN+NyuZg/fz4xMTGUl5ezcuVKFixYwNixY+VePv3005w+\nfZqlS5cSGBiI0+lk0aJFDB48mFtvvZWAgAAqKytZsWIFjz76qPR6PnjwIAcPHmTq1KkEBgbS1NTE\nl19+yTXXXCOpOceOHSM1NRWdTkdhYSH79+/n+uuvJyIiAqfTyV//+leuvPJK0tLSpIA2KyuLoUOH\nMmXKFCwWC8eOHePkyZMMGTKEAQMGSPeTyspK7HY7FotF2imKpXfhgiKCourr63G5XNTV1SEcW1RV\nJTk5maamJhwOh/To7+jokA2DABECSAJSZCrSWUWSqQCWApA3NzcTHBwsVztEoyGaD+gCr4IaI+g1\nQtgJSEqP1+ulqalJChtjYmIIDg5GVVWamprkRFJMxUNDQ0lOTpbHERQURHt7O2fPnkWv1+NyubqJ\nJsU+wnnAKNxN4uPjJd3IYDDISbgA0UIcK4KyqqurUVWV+Ph4OYEXqyAiMReQU1kBsgUIv1CcqhXM\nan3VRUNxIX3H7/fT3t4ur538Nv7ItJoLnXAEHUkkuQoQLqbxWkGv9vzD+VUJcT7F9i90rRH6ANEk\nBAQEkJiYKDUJHR0dnDp1SjYXoaGhWCwWmpubqampQVW7QposFgvl5eUyQOqRRx7pxk0Xnu4DBgxg\n1KhRMj8gIiKCr776iurqamJiYuSxm0wmEhISZHBaZGQkdrudhoYG8vLyUBRFJjsLoXNiYiKnTp3q\n1tCIe0mrDQC66Tv0ej02m03mMfh8PikEF/x/6LLKDA0N5eTJk/KxlJQUWltbOXv2rPyMIUOG0NjY\nKIO5dDodM2fOJDc3l127dsl9mzJlCn/5y1+oq6vj22+/RVVVBgwYwIgRIzh79iz33nsvxcXFmM1m\nnnzySW655RZ27drF1q1b8fv9ZGRkMHXqVHw+Hx988AH5+fno9XpuvPFGRo8eTX5+PhMnTqSkpISA\ngAAef/xxnnvuOYIVL+bq4h+8D/eUN3PvF/m4/07gYE/1VE/9tKoHyP/E6lh+NccLfniJ0xzQTEDn\nQX7729+Sm5vLb3/7Wz744APsdjvt7e385je/4dVXX2XixIm8+eabkgc/Z84cdu/ezfLly3nkkUfQ\n6/WcPHmSa6+9lqamJtasWcPll1+O3+/n/fff54knnmDZsmU8+uij0jt91qxZnDt3jnnz5hEXF0dl\nZSWrV68mMzOTUaNGyX184YUXqKqq4tFHHyUwMJC2tjYyMzO58sormThxInq9nrKyMrKysrj33nsl\nRWPXrl3U1tYyZswYdDodNTU15OfnS8eZ6upqqqqqpF3djh07aGpqYvLkyVgsFqqqqli3bh2//OUv\nJV/+66+/5rPPPuP2228nIyMDo9HIjh07aG1tZfjw4dI+0ev10tDQgN1ul8v7ra2t2O12CazFn8Xk\nuqGhQQLOtrY2CWpE4JGYTosJnxZ8CkCl0+mkI4hOpyM5ORhgl0YAACAASURBVFk6AAkgKRxbmpqa\n5D60trbi8/kICQmR7iXQNZV3Op0y3VUr9hQ8ciGq1TrYREVFyQTXU6dOSe5xdXU1JpOJ6OhoOZEU\nqwBOp5PS0lLcbre89uJ5rcBSUFdEMqXFYpHUEUGpEXQKQdUJDQ2VXOnm5maSkpKkmwkgmyRBjfF4\nPJISpZ26a8We4jkByMX+iUbI7XbLxkOA3o6ODlwuVzd/dvH5P2ZpGwgB6sVKwIXUGCFEFfeW1loR\n6AZexRRa7LM4NnFPiObI7/djsVhISUmRVqN+v59z585J0am4J+vq6mRicnBwsEwNDgoK4ve//303\nmo8Qk/bp04e0tDSGDRtGfX09BoOBs2fPcuLECVRVJS4uTq7MDBgwgIKCAkkhS01Npa6ujoKCAtxu\ntwTe1dXVkk9eVFQkufviHAA/COLFOROrPM3NzXg8Hrm/YpUOukKyIiIiKC4ulo/17t0bp9MpV7AU\nRWHgwIHU1tbKc6bX67n55pv59ttvZbIrwA033MDKlStpamoiOzsbVVUZNGgQGRkZlJSU8OCDD1Jc\nXIzFYmHZsmX84he/YOvWrbIRuPLKK5k8eTJtbW28++67lJWVYTKZmD59OkOGDGHLli1Mnz6d+vp6\nbDabHMqcPn2a+fPnY8/9HHtr9Q/ei8dq2zhe+8O2lT31/3j9K04y/3/+9JSsHiD/E6rcoxUseeZL\nVPzf/XSf+s399Qg+ee9OoqPCaG1tZfHixaxfv56xY8fyzTffEBcXh9fr5fnnn2fOnDkMGTKE1atX\nExcXR3t7O5mZmXz44YcsWrSI5557jsDAQCorK5kyZQp5eXmsWrWKcePGAbBp0yYWLVrE3LlzWbp0\nqfSlf+ihhzh27Bj3338/8fHxVFdXs3btWjIzMxk27HwAySuvvEJLSwv33HOPtE18/PHHmTx5MqNH\nj5aNxM6dO7n11lul2G7r1q0EBgaSkdFFGyotLaWlpYU+ffpgMBgoKyvDYDBIkLxu3ToiIyO56qqr\nMBqNFBYWkpOTw8SJEyXI2LhxI3v37mXBggX069cPn8/H5s2bCQ8PZ/jw4TKIqrm5Gb1ej8VikWJT\nIQTUBhfp9Xra2tqor6+nvLyciIgIWltbaW1tZeDAgVKgKGgnIlxJTDbFdFeAw46ODqqrqzl37hwD\nBw6UlBmPx0NjY6OkUogJophoi4An4Y0vAJ8QamonvFowCOcDooRYMiwsjNDQUClCFtPJ2tpaXC4X\nQUFBDBgwQJ53u92O3++Xlpxw3glGgEKtmFWcXzFRFish2qmy1lHGZDJhsVjkeU5ISJDnRTvlF6/3\n+/0yoEi7QiHoTVoRqZjoC1BrMpnweDxSm6BtfoSQ9kKa0o9d2gZDHI+YxotGEs7bRHo8Hnw+n9w3\nUVp3Gu2+aq+/llIUGBgobULj4uLo27evbIAqK7vSQQWNS+hcampqMJlMhISEYDKZpE3kpk2bqK8/\nb5MbEBCA3W4nJiaG1NRUJk+eLJNZg4KC+OKLL2hvbyc2NlY2lbGxsbjdbsrLy2lpaWHAgAE0NjZS\nWlpKXV0dFouFuLg4ORmPioqisbFRilPFORKNiDgn4hyLlQ0x+TcYDNLeMzAwELPZTFtbm7y3RI5C\naWmpfCw2NhaXy0Vtba2kJPXr14/a2lqZkKzX67n++uvZv38/RUVFct9uvPFGXn/9dVpbWzl48CAA\nl1xyCUOHDqWgoIB58+ZRXFyMzWZj2bJl3HDDDXz22WccOHAARVEYO3Ys11xzDTU1Nbz77rsy9Xbm\nzJn07duX//iP/+Chhx7C6XQSGRlJVlYWEydOZO/evSxbtqzLGjTYzrpfXcZ9wxK63YPaFaelO0+R\nW93dzrSneqqnfprVA+R/InUkr4rb7v3wgtAnVYJ5Ve3k2x2r6N8/lVWrVknnhDfffJOXX36ZXr16\nkZ2dzSWXXALA+vXrue6664iIiGDt2rX0798fr9fLK6+8wssvv8zMmTNZtWoVdrudpqYmbr/9dr78\n8ktef/11br75ZgICAvjmm29YsGABv/jFL3jmmWew2+20tLSwdOlSdu/ezb333kt8fDx1dXV88skn\nkkIj6rXXXsPtdjNjxgyMRiPNzc0sXbqUW2+9VfrHFxQUUFRUxMSJEyVA2bx5M7GxsaSmpuL3+zl5\n8iQWi4XY2FipCQgLC8NgMNDa2sratWu5/PLLGTRoEAB79uzB4/GQkZGB2Wzm7NmzZGVlUVZWxuOP\nP058fDzNzc18/PHHjBw5kvT0dIxGo/RsDwoKksv/zc3N0rVFcNwFUKytraWqqgqj0YhOp6OpqUkC\nIjGxFgJaQLqqCEGlAJmAdAYJDg4mOTlZutEIn3cx5RYgWbi1eDweYmJipJhPvE77Z1HChUW8tqWl\nhba2NnQ6HVarFZvNJgXF5eXltLW10dTUJFcmwsPD6dWrl5zqa3n1cN5VR1h2dt2358GvEAmHh4cT\nEBDQ7Zg6Ozul3V9rayuxsbFERUXR3Nws3XhiYmK6OduIpkGscAgRrzbFVdBRBC3qQgqL0WiU+60F\n8uIcCYcfUQJk/9hgXgBMAbQFUBefIxxlhLBYiHG1gFVs50Igf2EDIgCbOG/CXWnQoEGEhobidDol\nX9ztdhMbG4vf76ehoUG6KgmhtJiC79mz53te8cHBwYSEhNC/f3+ZfCw0HHv27KGiokJeVxE01atX\nLw4fPkxTUxMRERHo9Xrq6+spKirCbDaTnp5Obm4uTqcTs9mM0WiU9x8gqXBaMa84P+I7LgLBRLPs\ndru72buKFSahzSgvL5ePRUVF4fV6aWxslE1qYmIi9fX1kpJmMBgYN24c+/fv73ZObrrpJp577jna\n29vJzc0F4NJLL2Xw4MHk5uaSmZlJSUkJQUFB/O53v2PixIls2rSJY8eOYTAYmDBhAldccQWlpaWs\nWbOG1tZWoqKimD17NjExMWRmZvLKK6/g8/no168fW7ZsYcCAAWRlZcn01z59+rB8+XJS+/XFdjoX\nRfVfVPNR1OTijk1HOdYzmf/3KuV/2WnmR3Wt6RnLi+oB8j+RWrFqLx5v50WeUVFVP40Vm9i04QNS\nU1MJCgpixYoVTJo0CYAtW7bwyCOP0NnZybZt25g6dSo6nY6jR49y2WWXUVdXx+rVqxkzZgwAWVlZ\nzJs3j7Fjx5KVlSU55g899BB/+tOfeOqpp5g1axYWi4WDBw+SmZnJiBEjeOmllwgNDcXhcLB8+XI+\n//xzZs+eTXx8PI2NjXz22WcsWLCA1NRUufdvvtmVQHzTTTdJoepTTz3FnXfeSVpaGgDHjh3D4XAw\natQoaQX4xRdfkJKSQkJCAj6fj4KCAqKioggPD8fr9VJcXCzFsufOnWPjxo2MGzeOxMREPB4PX331\nFQkJCfTt2xdF6fKgz8rKQq/Xc9999xESEsLZs2fZtGkT119/vaTYdHR00NbWJifoDodD8sz9fr8E\nEMLKrrq6mry8PHr37o2iKJw7d45+/fpJwangYgMShGonr2KiJygter1e2mMC0jLS5/NJWoBWuCfC\nlwSVxuVySd6zNuEVkEJJAVLb2tpkMyD4zzabTQpqz5w5Q0NDAy0tLbK5SU5OlmDfbDYTEBBAXV2d\nPD5F6UroFBQZLcXF6XTS1tYmLf2sVms3B5+mpiY5yQ8KCpJTfyE+TkhIkM0QIGklWrqLEMAKOpIA\nbheGI4n3i9eJJkf7fq/XK0Gtdkp/sfpXxK/a5kJcJ20IlZZuY7VaJUVLKzLWXmNRYn+16a6igQLk\nSoTf7ycyMpK0tDQ6Ojro7OykoaFBrgiEhoZKipGg1IjrpNPp2L9/P6Wlpd2Ox263Y7PZSE5OZsSI\nEYwcOZKSkhKgS8+wb98+2fQ2NzdjsVjo27cv+fn5NDQ0oKpdScyNjY3k5eURGBjIgAEDKCwslMFl\nISEhnDlzphttRjR3gBS0AnIFSIBvcb20Ogu32y2n7mazmfDwcKqqqiSIDwsLw+v1SlqawWAgLi6O\npqYmmpubZWN4xRVXcPDgQWpqzlMkb7zxRp544gm8Xi9Hjx4F4LLLLiM9PZ19+/bx5JNPUlJSQkhI\nCIsWLeK6665j48aNnDhxAqPRyOTJk7nsssukMYDL5SIxMZFZs2ZhMpmYMWMGWVlZ+P1+Ro8ezZYt\nW7Db7bz66qtkZWWhqiqjRo3iueeeIygoiCeeeII3n/09hl1ZF3VGUxTw+lVWHLpQq9VTPdVTP7Xq\nAfI/gfpy+ylyj1Ve9LmIMAt/fuNGTLougVJxcTEhISEUFRWxcOFC7r//fgwGAwUFBdx7772UlJSw\natUqFi1ahMFgoKqqirFjx7Jt2zaWL1/OnXfeiaIo7N27l7vuuoukpCS++OILEhIScLvdPP/88/z+\n97/n4YcfZu7cudjtdgoKCli6dCmJiYksX76ciIgI2tvbefvtt1m3bh233367nHJv27aN+fPn069f\nP3kMK1euJCAggAkTJqDX66mtreWFF16Qn9/Z2cmhQ4cIDAwkPT1dUle2b9/OoEGDiIqKwu12c/Lk\nSWJiYggJCZGR7GFhYUBXM1BQUMA111xDZGQkTU1N7N27lwEDBhAdHY3L5eLgwYNs3LiRwYMHM23a\nNMxmM8ePHyc/P5+xY8cSGhoKdPnFBwYGSjeYxsZGrFar5McDEhC5XC7Onj0r90Wk5qakpMhpvFZ0\nKiamWpGhACJ1dXXs3buX9PR06aPv8Xjk0r/X65X0FzF5FtaDsbGxsgnShgVpgZ4A8gIACupLXV0d\nQUFB8pgiIyPlBLakpERymgWXPi4uTm5PewxatxetmFJMxoXVp5j+C1tPcU5cLpfcp46ODnmt29ra\nqKmpoU+fPtIS9MLJuJi8CmAvQKyWFw7nnWEEyBf7LMCyNu1V2GhqJ+XiuC+sfxXIC3CtdfrRcvWh\nC4wKupFWUyDqwmn8hSBfu4/ivAuRa58+fQgLC+vmFiSCnlRVpaGhgebmZsnPFx7+OTk5FBd3F0+G\nhoYSFBREdHQ0GRkZTJo0SVo4Go1Gtm7disPhkN8XVVXp06cPTqeTkpISHA4HiYmJNDY2UlhYCHQl\nqxoMBvl3u91OVVXV94C6+LtoogGp6RCWo+JeFRap2uAv6ALxNpuN2tpa+X0XqcRCVB0QEEBMTAyN\njY2S0mU0GsnIyODIkSPdqD433XQTjz/+OKqqSrHu5ZdfTlpaGrt27eKFF16gpKSE8PBwOWDZuHGj\nFLtOmjSJwYMHc+DAAT777DPcbjdpaWncdtttOJ1OSeFRFIUZM2awZs0a2traWLp0Kd9++y2KonDr\nrbcyf/58Ojo6uO222/j4449RVZXRVjd/mTyAcPP5lS7trXy4upWvzvxwqnhP/T9Y/9fc9x6O/D9d\nPUD+/7jeXn2AufM30NzScdHnzcYWrhrVh5qaGpm82traSnp6Om+//Ta33HKLnLLU1tbyyCOPsGPH\nDv4/9t48Psr6XP9/T/bJbMlkDwFCIGFHdpBFQEEUVFBBQXGBcloV97VqbbVWpD2i1VNtteKpVatV\nKyCigrKjIDuEJISETNbJMpl9JplkkszvD8794Qliv/7O0fr1fHO/XnlBMpNnnufzfCZz3dd93dd9\n3333sWbNGgwGA4FAgJtvvpnf//733HnnnTz44IPExsZy8uRJrrvuOtra2ti0aRNDhgyhq6uLV199\nlTvuuIPrr7+e++67D6vVis1m48knnyQxMZFnnnmG7OxsQqEQb7/9Nn/5y1+YN28eWVlZ+P1+du3a\nxR133KG84gHWrFmDXq9n2rRpREdH09DQwPPPP89NN91ETk4O4XCYffv2kZmZyYABA4iOjsbpdLJ3\n715GjBhBUlISwWCQqqoqMjIyMBgMeL1eAoEAer2ecDjM1q1bgdNMV3JyMtXV1VRUVFBQUEBSUhLN\nzc3s2rWLbdu2MX/+fCZPnkxXVxfbt2/HarUybNgwBQA8Hg8mk0kx22JTpx3KJE2VgUCAQ4cOqUZZ\nAWJpaWnExcUpyYYAbAHAWglIdHQ0LS0tHDt2jEjk9HRbra2kgGWx2ouNjVU2laFQCIPB0O35cXFx\n6rW04K61tVWBHpHtiKOM+HgLWx4OhykrK6O6uppAIIDZbCYpKUl5+gvwEdApbjnyOqKHF/mH2HNK\nEiN2kyJHaGtro7m5WdlTpqSkqKTN4XAoW08tMy4sqwB5rS5evs5ueNQmDzExMaqSIMmNto9AAPPZ\nrjXwPwPvZx9Hy8ZrnWW0DjOyt1paWtQ1acH6uc5He2zRiEdHR3djq00mE/369VPVHa/Xi9frRac7\nPeW1sbFR7enY2FhVlbPZbF+b2iqVHempmDVrFkajkerqanQ6HXv27KGhoUHZUQYCAdLS0khNTeXo\n0aM4nU7S09PR6XScOnVKab3Hjh3Lpk2b1Dm0tLQokC16f20Spu0HMBqN6r7qdDrlyKOVdgnol0nN\nPp9PDQizWCyqOiPJSGpqqnKoikQixMfHM2jQII4ePYrPd0ZbPn/+fO666y5iYmIoKSlBp9MxceJE\n+vfvz+eff87q1aspLy8nJSWFFStWMG3aNDZs2EBlZSUmk4lLL72UwYMHs23bNrZt20Y4HGbUqFFc\neeWVlJWVMXfu3G7ONE8//TSnTp3igQce4NSpUyQkJHDXXXdx7bXXcvz4cS677DKOHj1KdHQ0S5cu\n5bXXXmNCtoXo+vJzuvp52jq4dVMxa47W/rf3d0/0RE98v9ED5H/AaGzys+r5Hd/4eJQuDK17Wb58\nOVVVVezdu5d77rlH6WlvueUWrr32WsaMGcOf/vQn5Qe/cuVKXn31VebMmcPmzZvJyMigvb2dlStX\ncssttzB//nyee+45Bf6XL19OUVERGzduZMKECURFRfHhhx9y0003MXPmTB555BHS0tJoaGhg9erV\nhEIhVq1aRZ8+fejo6GDjxo2sWbOGWbNmkZmZSTAY5MCBA6ohVuLNN9/EaDQyceJEdDoddrudV199\nlSVLliid7IEDB8jNzSUnJ0c5Uxw/fpwhQ4ZgNpvxer04HA41oEhGtIu+dePGjQwcOJC8vDyMRiMl\nJSV0dHSQk5Oj9PKbN2+mqKiIn/70pwwcOJDW1lY2bNjAxIkTlcRGvNal8dXr9SppjNg2whkm2OPx\nsGfPHjIyMkhKSsLr9ZKZmakkL1ptrrDWossV1j4qKor6+np27NjBsGHDSEtLU4mCnFMwGFTTWAW0\nChgRRxs5d+2wI0CBWrkOAfEC5BMTEzEYDLS3t2O1WpXF3+7du5VjTmJiIlarlZSUlK9NUBXNvHaA\nkVh4ihxEWO6YmBiVbMj/29ra8Hq9CjzLsCG9Xo/D4SAcDpOSktKteRFQayDfiyxFGkjFPlTrVqPV\nTovPvyRK2v9LsiRJ29madIn/iWZemoEFfJ7dWCsuMzJjQQDr2a95tn+6thdAkkY5ljDR0dHRpKSk\n0KtXL9XEXFFRoeRW4XAYr9dLR0eHciSKiorCZrOpZk0Js9mMwWDAYrGQk5PDxRdfzKhRo5SUpLKy\nkqqqKkKhEH369FHN5WPHjuXo0aNUVlaq5m2bzYbL5SIpKYmLLrqIt99+W+nxRfImkZiYqB6LiopS\nPRzyWDgc7rZHpW9C9oWsd3x8vGLqRTYkCW0oFFLytpSUFDwej3LniY+PJy8vj7KyMuXCpNPpmDdv\nHrfccguJiYmUlpai0+k4//zz6du3Lx9//DEvvfQSp06dIiMjg5/+9KdMmjSJTz75hJqaGqxWK7Nn\nzyYvL49Nmzaxf/9+urq6OP/885k9ezZbt25l8eLFNDU1YTAYlDPNF198wa9+9SvcbjcpKSk88cQT\nTJkyhQ8++ICbbrqJpqYmEhMT+e1vf8sDDzxAaWkpc+fOxfPhGgh1Hyqmjd/uraAx2PaNj/fE/46I\nABGd7sfx9UMv1v9F0QPkf6CIRCJ8tPkEnZ1nPsC1MX50Dk8/MgaLCerq6lixYgWffPIJq1ev5qOP\nPlIl6ffee08xzi+//DLjx4+nq6uLt99+W8lhhNWORCJ88MEHXHLJJQwcOJA1a9aQmZmJ3+/ngQce\nYP369bz//vtcdtllREdHs3v3bhYtWsSQIUN48sknyc7Oxul08uKLL2K32/n1r39NXl4enZ2dbN++\nnddee43zzz+fzMxMWlpaKCkpYfny5WRlZalrfvfddzGbzcqVRhpRFy5cSFpammoEy8vLIz09naio\nKKqqqrDZbOTn55OYmKgGFVmtVqW7F2DS1NTEp59+yoUXXkhqaioxMTEcPXqU1NRUJcM5ceIE69at\no6WlhZ/+9Kekp6fT3NzM/v37GT16tHKxES95AT4CFoT9Ex27sMJNTU0UFxcrW75wONxNc67X6xWg\nEjAhTa1arfy+ffuIjo6mX79+SiLjcrkUoyjNiQI2BYzIFFmtVlzLyMq5aocqCWgRUCfuOHq9Xk1h\nraqq4ssvv1TuOGlpaZjNZsVsyrlLr4U0wgqoMZlM6vWcTifBYFCx4nq9XtlRihWnTPmE09NADQaD\n8rfXAnm5Vm0yERUVpZpB5XuR9cjvaNdFKglacCeNpMFgUIH2s9dRfqZd1/9uaLXuWhZeK+WRZEcG\nkJ39N+NcbLzWgUfWTNZdNN4Gg0G5COXk5NDQ0IDdbic2Nha9Xq/sRwXEWiwWjh071s1OEU6DeGHj\nTSYTF110EZMnT8Zut+Pz+XA4HBw9ehS/309ubi5er5eYmBgGDBhAc3MzJSUlhMNhevXqRXV1NU1N\nTej1ei644AI+//xz5QYTFxeH33+mAdNoNKrvpQIk+y4+Pr7b+1YrqZI1BLo1PWvdi/R6vdoPcv1p\naWl4PB51TL1eT1ZWFhUVFd2SiXnz5rF8+XKMRiNlZWXodDomTZpEr169+Oijj3jttdcoLy8nMzOT\nG2+8kfHjx/P5559TV1dHZmYmM2fOJDs7m48++ohjx46h0+m44IILmDZtGq+99hp33303fr+ftLQ0\n3njjDS6++GLeeecdXnjhBUKhEP379+e3v/0t/fv359e//jW//OUvaW1tpVevXrz77rtqGNV1112H\n3W4nsd3PfelBxmWdsXjVRlcEPj7l+F4cm3qiJ3rifxY9QP4HiEgkwiNPfsqTz2zhv3JgTje1nvkj\nefG0NK5ZcAl/+tOf1ETFZ555hlWrVjF79mzq6+tJS0sDUI2fp06d4umnn2bx4sVERUWxZ88efvaz\nn+FyudiyZQvz5s1TTbBTp04lGAzy1ltvMXDgQOVo8+yzz/LHP/6Rm2++WY0iv+666zAYDKxatYp+\n/frR0tLC66+/Tnl5OQ8//DCDBw8mEomwd+9e/vM//5Phw4eTlpZGIBCgurqa6667joyMDOD0h+b6\n9esxm82MGDFCldA/+eQTrrjiCqxWK8FgkKKiIgoKCrBarURFRSn7uby8PDUwqrW1laSkJHQ6nRoM\nEw6HOXXqFIcOHeKSSy7BaDTS2dlJUVEROTk5ymnj5MmTrFu3jl69erFgwQLF3sfExJCbm6sa51pb\nW7s1nkYiEcXSClsPp1lhn89HXV0dTU1NWK1WIpEIvXv3VmBKRsFL0iGSEGH3BczZ7XZ27NhBbm6u\nArShUIiWlhYlGxHwK+y+JA3C+Gu9xeV5Wq21hN/vV1phsQCVxCUuLg6z2UwwGGTv3r3U1NQoj3eL\nxYLBYFBOHTqdjpSUFOC0rEZeUwCjsPJer1exmyJzkCZe0fi7XC5CoZDSwicnJxMTE4PdbleAVitJ\nkrWEM+Be9NDCpMs9E0mU1mdcqiICdkW2Ied5NtP9XYe2GfVsUA+oBKu1tVU1oJ4N3M8FsOR5Zw+F\nkv9LtSQnJ0eB1AMHDijr1I6ODlpaWlTCKRp1cVyRMBqN6n1qMBgYM2YMM2bMwGq1cvz4cfx+P0eP\nHqWzs1Pdb3GKycvLY9++fTidTtLS0qipqaG5uRmdTsf48eNVRU72kVRM4DTbrmXmk5KSlKwlJiZG\ngXx5/0mTtoB42Suyn0SmptPpFKsv9z8hIYHk5GQ1DE5ePzU1tVtDbGxsLPPmzeOmm27CbDZjs9nQ\n6XRMnjyZjIwMNmzYwBtvvEF5eTlZWVksXryYUaNGsWvXLurr6+nbty/Tp08nKSmJjz/+WE12vfDC\nCxk/fjxPPPEEzz77LKFQiLy8PNauXcvQoUN5/vnnef/99+ns7GTy5Mn85je/ITY2luuvv5533nmH\nrq4uxo8fz4YNG8jNzeX+++/nySefpLW1lezsbN566y1uvW4Bl1q/eT7CU19W8Niush4w/789fmg3\nmm/71RMqoh9//PHv6ljf2YH+t8d76wt57o+7z/mYTqcjqquJw3tfIdLVxUUXXcScOXOor6/HZrNR\nUVHBrl27mD59Oo8//jiffPIJdrudtrY2XnnlFSwWC7feeis5OTkcPHgQp9PJ1q1byczM5M477yQm\nJoavvvoKr9fL+++/z4ABA3jwwQcpKyujqqqK48ePU1paypNPPklCQgIHDx7E4XCwZcsWJk6cyIIF\nCygsLMTpdFJcXExSUhKXXXYZVVVVOJ1O6uvrsdvtTJs2jZaWFjWKfcSIEdhsNjUls6Kigvz8fEwm\nk7Jua2trY+rUqVRXVytHlf79+ytfZ6/Xi8FgICUlBZ/PR0tLi/JVFzAqWmy3203fvn3p3bs31dXV\n6rlir+dyuRRAmzVrFna7nYaGBmpraxk9erQaB68FelrQLpplcf4QqYzWIlKabtvb2xWTarVaFUgU\nNlgaRgW4ih536NChlJeXK59vAR9msxmdTofT6VTNmpFIBIPBoOwSw+GwSh60A4KEVRX7PL1eT0ZG\nhnLZaW9vx+PxKImCaNjFjWbQoEGqh8DpdFJaWorL5SI2Npbhw4fj9/uV/752AJOAQnHGEamRaLVF\n9y3rPGjQIPr06UNFRQVut1slaX6/n4aGBoLBoAJnIiUSoCoVCvFc136v7W2IRCKYTCasVisej0dp\nq+W6bTabGsqk9Ww/F5D+n4SsgZZll70gbHpCQoKSAy0XVQAAIABJREFUeMC3H0glDceSKEn/gTgO\n6fV6Bg0axPTp02lqamLTpk3AaYeWpqYmUlNTFehuaGhg+/bt3Y4vIF7Y/d69e3PDDTcwduxYDh06\nRH19vWr+jIqKIj09nerqakwmE0OGDOHUqVMqge7o6KCxsZG2tjZGjx5NamoqH330keq30PY7iP+9\nrJcknJKQyaA22bupqandmoRlzaXipW10lmqn9FwkJCRgsVjweDwKsBsMBkwmEw6Ho9twqcsvv5xF\nixZhsVioq6tTIN5qtbJhwwbee+89Tp06RVZWFldddRVDhw7l2LFjNDQ0kJ+fz7hx44iLi2Pr1q1U\nVVVhNBqZMWMGBQUFrFixgo8//phwOMzYsWN58803iYuL43e/+x0HDx5UA6iWL19OWVkZS5Ysoby8\nnOjoaK6//npWr15NU1MTS5YsUc2xkydP5q233iIzM5PXX3+d5554jHD2ADBZz7mfipoDZBsTGJJq\n/Fb7rycAeOKHPoFvE0888cTPouOTsix9p//Qp/Ktwle9nc42b/3jjz/+yg99Lj909AD5HyD+/Nev\nKDl5ejCKFhDodDDzglxiwztwOZvYt28f+/bt4+KLL2bmzJkkJydz5MgRmpub2bRpEzk5OTz55JN4\nPB72799PZ2cnmzZt4ujRo/z85z9nwoQJHDp0iObmZvbs2UNLSwu33HILw4YNY+vWrfj9fjZt2kQo\nFFITGUtKSqisrOTLL7/koYceom/fvnz11Ve4XC62b99Ov379uOmmmygpKVHe5wkJCcydO5f6+noc\nDgcOh4Pa2lomTpyodM8xMTHk5+dTW1urwHxtba3SsrtcLpqbm+nq6mLcuHHKxzwUCpGbm4vP51Ng\n3mKxYDKZujWBCqAWMNrW1obH42HChAl0dnbS2NiI3+8nKSmJ6OhoQqEQbrebSCSC2Wzmwgsv5MiR\nI6ps3qtXL5qbm1WZXQC23DNpejMajQocSBOsAPr4+Hg1OdPpdCqrO4PBQEtLC+FwWIEGrZezSF5E\n3xsIBBRLLoAmIyND+bILoyjgRNhnrT2jAB4ZeiP67+joaPr06aOaPqXXwO/3K/98YWPl+qxWq2pA\nPXDgAC0tLZhMJvr06UNXVxdut5uuri6lqZZERUCQTOYNBAIYDAbVgwBnpCW9evWib9++2Gw2vF4v\nGRkZBINBZYcpw6VkGq2AKWFSRY4igE/b2CpJEaAGGwUCAaVVF/BbVVWlmiTFplEqCZFIRCUE/5OQ\ne6qd4Cp7TL5kDUUCJev0bY6tHaAlvQA6nQ6r1UpnZydms5mZM2fSv39/PvzwQyorKxXA107+ramp\nYdeuXd2OLxaTYtWanJzMokWLmD59OqFQiAMHDnD8+HE1ayEzMxO73a4qVeFwmBMnTigAXl9fTzgc\nZsCAAfTv35+PPvpI9cCIHAjo1lcCqGZWeX/KnpDvpcon91KSGVmX2NhY9Vxto2xXVxd6vR6DwaCa\nX+E0iI+Pj1c2lPKz2bNns3DhQiwWC01NTQoom0wmPv74Yz744AMqKirIzMxk7ty5DB48mLKyMpqa\nmhg6dCjnnXceXV1d7Ny5k9raWtLS0pg2bRrJycksW7aMAwcOAHDJJZfwH//xH7jdbuV4k5CQwLJl\ny5g3bx4ffvghd999t7JzffLJJ1m+fDmbNm3i1ltvpb6+ntjYWFasWMGvf/1rurq6uOuuu3jzzTfp\n7AjTO+Rg1AUXURXo6Ha/5aPKEBfF7H5p33aL98SPCcgn/BeQ/6Edab7FVw+QPxM90pp/YbSHO3nw\n8Y2s3Xicc8lpkiwJ/Pn5a/nk4/VcccUVREVFsX//fmUvdsUVV/DCCy+QkZFBIBDgiSee4A9/+APP\nPfcc69atU6Bw3bp1FBQUkJKSwosvvsjYsWMJh8O8++67/OpXv2LixIl8+umn5OTk0NHRwYsvvsiy\nZctYtmwZ99xzD3FxcZSUlHDDDTcwevRoXnrpJdLS0vD7/Tz55JOsW7eOX/7yl4wdO5a4uDi2bNnC\n3r17uf766xk1ahSxsbFUVFTw7rvvkpaWhslkwufzERsbq0rucFqqsmfPHhISEsjNzSUSiVBUVMSp\nU6eYNm2acqax2+3k5eWRmJhIZ2cnlZWVCswKwBaQ2dHRgclkoqOjg5qaGj7//HOmTJmiHHTq6uow\nmUxqQmlpaSnbt2/H5/OxaNEiVT6PjY0lOztbucNoLQIBZUXX2dlJUlKSmiYpzYF+v1/Z0un1elJT\nU4HTgF7AgejwBXQKOJTXLC4uVmBMQGkoFCIQCHQbhCR7SACs+NyfrbvWSnGE6RWWW+uRb7ValW+4\n/H5GRgbhcJiTJ09is9mwWq3ddPDp6endGoCFZRcpkUgjhHVvaWnpNsApLi5OVQU6OzspLy/H4XAo\nG9CUlBSSk5MVuBQQLS4mkrhogbB26qlWTy+JmTDVwjhLItXe3k5DQ0O3xE3LxH+XjLyAeDg3y65N\nIuV8vm3yoO0D0FqSSmIm1axRo0bR0NBASUkJnZ2dqslZ7kd5eTl79uzpdmxphhYQn5CQwKRJk7jg\nggtIS0vj4MGDVFRU0NDQQHR0NL169VLvC7PZTHR0NFVVVUr6IlNSU1JSKCgoYMuWLcotRwvi5T0o\nayWVCq11pOja4TRTL7p3qbZI0iRVGpHaSEVP1iwhIYH4+Hj8fn83EB8VFYXP51PnZDQamTVrFldd\ndRVGo1FJg6ZMmUJ8fDwbN25k/fr12Gw2srKymDVrFgMGDKCiogKHw8HIkSMZMmQIPp+P3bt3Y7fb\n6dOnD1OnTiUUCnHjjTdSXFxMTEwMN9xwA8888wwnT57k6aefpra2FovFwn333cfMmTNZuXIlv/jF\nL2hpaSEzM5O33nqLuXPnsnLlSu6//358Ph9Wq5WXX36ZW265hbKyMi677DLl+DVz5kw+XfcP/jx/\nHHGdbcrJRrvdPyxz8MjOk7R3fruqUE/0RE98v9ED5P+F8fRzW/n72qNn/fQMmJ84Og2bzUZnZyer\nVq3i6aefVtKTf/u3f2P16tUMGDCA//zP/2TixIlEIhHWrl3L7bffzpQpU7DZbN1087m5uezbt4+V\nK1dy9dVXExMTw969e7nvvvsIh8Ps3LmTUaNGAbB582auvvpqRowYwcqVKzGZTDQ0NHDLLbcApx1n\nxGv+pZde4pVXXuGee+7h/PPPR6/X8+WXX/LFF1+wcOFCxo4dS3x8PLW1taxduxaz2YzRaMTr9ZKS\nksLEiROVZ3t7e7vykM/JySESiXDs2DFqa2uZMmUKiYmJeDweGhsb6d27t2LeZWKiaNG1toMyJTIU\nClFcXMxXX33F3LlzlUxANOySKJw8eZJPP/2U/Px8JkyYgNFopKKigtzcXJKSkhTglQ9/AVcimdHp\nTg/AiYuLo6WlhVAopBh/AYnSVBgOh2lqalLAV8ClOKNoQarT6aSxsVEBLnlMjiHSHtH2an9XHDjg\nDPAT4KK9HpngaTQaVROqxWIhKipKARiRK4hF4aFDhxRjKcfp06eP0u3LeWilDoBKHoRNl/Xr6OjA\nYDAQExOjhki5XC6qq6tpa2tTEzxzcnJUMieJD6DW4FyDm2SSrVZyIxpoaX6U5l6tNKupqUmxtVpA\nrE2Oviswf65md+19k/sFZ5KKb4qznXkEvEvVRhJC+X9eXh4mk4kdO3aoypkkxYmJiZw4ceJrja0p\nKSmq2iTH7d+/P/Pnz6dfv35UVlZSWFioKhppaWkkJibS0NCg/NcrKipUY7T4wScmJjJ48GD27dtH\nTU2Nek9IoiP3VcvMyz4SkA4o0K6dgCzJstamVCu70lZZZL2kcicgXioaMlsAwGKxMHPmTObNm6cS\noKioKCZPngzApk2b2LhxI1VVVWRmZjJt2jTy8vKw2+04nU7Gjh1L//79aWho4PDhwzQ0NFBQUMD4\n8eMpKyvjtttuo7q6msTERO68804eeOABtm/fzosvvojT6aR379488sgjDBw4kOXLl/PWW2/R2dnJ\nqFGj2LBhA5mZmSxZsuQ0297ZyfDhw5VD1zvvvMOiRYuora0lISGBhx9+mBdeeAGv18u4ceNw7938\nDZsM3i9t4N/32b5xH/bEjzi02dv/zV89oaIHyP8L4zQTf66IMGfmAJYuGoTL5aK4uBi/38/ll1/O\n2rVrKSgooKOjgzVr1rB48WJaWlp46qmn+Ld/+zdiY2MpKSlh2bJlVFdXU1tby8iRI9HpTo+6nzNn\nDo899hi33XYb99xzD2azmaqqKh577DF27tzJxo0bufLKK4mNjeX48eNce+21tLa28vzzz5OVlYXP\n5+PRRx/l0KFDvPfeewwaNIjOzk7eeecdVq1axbJly5g+fTomk4nDhw+zfft25syZw7hx45Trxaef\nfqq0pl6vl5ycHEaOHKkaVdvb2yksLCQ+Pp7MzEy6uro4duwY9fX1KlHw+Xy4XC6ysrJUs1xDQwNw\n+sNUwLAwvsJYBwIBdu/eTWVlJXPnzsVsNuPz+QgEAhiNRvR6PXV1dZSWlrJ582bmzZtHr1691DAt\nGUKkHSykBcHCusuAIwGGgUAAv9+vtPkJCQnqOYFAgNbWVpXMiDREQIZIG7q6upT1n4B2YdXFqUOA\nmiQwAuS1DZ0CCOVfk8mkQGkkEsHr9aqqgwDF5ORk9fpw2jUnPz8fq9VKV1cXe/fuxefzKXYzIyOD\nzMxMtQbyWqJll9eXJEjAkciphAE1Go3qHCorK1WSER0djcFgIC0tTTmvCDjXsrQCygSAS3+BhEhk\nBOTq9XqCwaAC9pIUeb1etYe0jagS53Kx+e+EJJ9f+4ugqSzIvtb+/JvibGmOdj1EOiWORwkJCQwa\nNAi73U5RUVG3BuOYmBhOnjzJ8ePd/2ZZrVY1SVgqIVarlauvvpohQ4YQFRXFli1bqKysxO/3k56e\nTu/evSkpKSESiZCSkkJFRQVweh5GU1OTqqr079+fkpISysvLVeIi16S933BG+y9yGdkTAuIlWRGL\nSKkaaJueobtlpwzf0jr7SFVKQL842MhaTJ8+ncsuu4z4+HhaWloUiO/o6GDLli1s2rSJ6upq0tLS\nmDRpkhp05fF4GDduHFlZWdhsNk6ePInD4WD48OGcd955fPbZZzz++OM4HA6Sk5N5+OGHWbJkCe+/\n/z5vv/02gUCAIUOG8NBDD6HT6bj66qvZu3cvOp2OBQsW8Oabb3L06FGuuOIKjhw5QnR0NIsXL+ad\nd97BYDBw9913d2t2ffPNN7nhhht49913GTp0KCdOnMC/4VUMVYXdN5gGQ31Y3vRP92JP9ERP/Gui\nRyP/L4iOji5eeGU32784dc7HL7mwP39cvZDUVKtidGVMeXZ2Ntdeey3Nzc2cOHGC+vp61q5dS25u\nLldccQUjRoxg3759eDwetm7dSmtrK3/+85+pqKigqKiIjo4OvvzyS7Zv386DDz7ImDFjKCkpoaGh\ngUOHDuHxeHjwwQdJSEhQ32/evJns7Gxuv/129dwDBw4QDAb57W9/q5ijsrIyysvLufnmm5UHel1d\nHT6fjylTptDR0aFsA91utxo41NbWRmZmJoDSvnd2duJ2u8nMzCQ+Ph6fz4fT6SQxMZG8vDwcDodq\nPLRYLMr/XHTmoo0XgKrT6ZT0pLW1lcbGRgYOHEhWVha1tbX4fD4FaCORCA6Hg7i4OOLj4xk9ejQn\nTpxQ7itSXtf6vQvgEc10bGwsRqNRNW2K9V17ezsZGRlERUXR3Hx6QqKASXHQEV968X6X6aNimygV\nhpSUFHXN8jzxu9ZKBUTXr5UUSMTHx9O7d2/V7Cvsa25uLn6/X0mARCIEZxxOUlJSmDBhArW1tdjt\ndoqLi5VV4YQJE0hJSSEQCCiLyYSEBAAlrZGGYG0DrdhyimWlsM3x8fEqERM7z1AoRGJiopo2C2cc\nX4LBYDeXF0lopCIg1QlJlOLi4oiNjVX6eEkWRPIjkiFZT9l7Wpb8uwLz33QMrSe6Fsh/m9cU9lmu\nQVstkeqDxWJh2rRp7N69m5MnTwKoBMflcn1t2JPIqUwmk9KV6/V6Lr30UubPn09GRgZ79uxhy5Yt\nCoCKJWpFRYV6fbfbrapKouPOycmhpqaGmpoaleRpG7zPnlorrlLapEze//J9a2ur+l4qTtq/DfJ8\nSVzkvS1fsge0vvtyDunp6VxwwQVcfPHF3SRlkyZNIhQKsWvXLrZu3ao84ceMGUNubi5tbW34/X7G\njRtHUlISNpuNhoYGXC4Xo0aNon///vzlL3/h73//O16vl9zcXH7xi18wadIk3njjDXbs2EFHRwfn\nn38+t912GwcPHuSuu+6isbGRxMREHnroIVasWMEf/vAHnnrqKfV37je/+Q3Lly/HZrNx0003cfDg\nQXQ6HVOnTuWvf/0rWVlZ3HjjjaxevVr18jz68MP89bG7sHlaOOlp6QbiAdo6uoAIYzItRPUwpP8s\nflwa+X4X/vBs+7f48lVu69HI/1f0APnvOSKRCA89/jFr3tr/jc85duBv6OOCTJ48WVn4BQIBAoEA\nXq9XNaTl5+ezd+9ePB4Pn332Gc3NzVx99dVcdtllnDx5kvr6ekpKSti7dy8rV64kMzOTXbt2EQ6H\nqays5K233mL+/PksWLCAmpoa7HY7paWl2Gw2lixZwsSJE9mxYwd+v58vv/wSv9/Pvffei8fjwWaz\nUVpaSmlpKc8++yw2m42amhpsNhvFxcVcddVVWK1WBea9Xi9jxoxR1+JyuVTTpnyI9urVi66urm5g\n3uPxkJaWprzXnU4nRqORvn37KocIAcEyYEjK5MKoaT/wxQNbGiWHDx9ObGwszc3NBAIBLBaLYvVE\n25qfn4/BYKC6ulodu6Ojo9uwIO1gIJEFyDnJOYqetqWlhb59+9Lc3ExLS0s3bbeATa02V0CnAHUZ\ncCTVCDmGXq9XTZoCZMS5RsuIyz6E0wAvNTVVTXWVtRLP/fb2drKysmhtbVVWfsJOJiYmMmTIEAoK\nCjh06BD79u1TDaszZswATgNlYRwFMAlz2tbWpoCdgHaR14iLSnx8vDpOcnIybrdbeXXLkJuqqipq\na2sVKAO62RJKU6vcG5HSCBAXdlqGF/l8PpVkiuuOVDe08gptP4Kc43cR55LoaBtdhZ0+G8x+07G0\n1Rg4bZOYkJCgLEYF6Pbt25eUlBR27typ7FsBGhsbKSkp6XZckYLJPhf3nBEjRrB06VIGDRqE1+vl\n1VdfVU3kVquV3NxcDh48SHt7O/Hx8TgcDiV3aWxsVBanzc3NOJ1OxYDLtWglTFoplSQ3Z4N4Sdrk\n/GJiYlQVTvZLYmKiup/y90gkWHA68ZH3jRxDQHx0dDRZWVlMmTKFqVOnKpvW2NhYJk6cSDAY5Msv\nv2THjh3Y7XaSkpIYMmQIubm56HSnh7qNGTOGuLg4KioqcLlcSsqSmprKs88+y7Zt2wgEAowePZqH\nHnqI3NxcXn/9dQ4fPkx0dDQXX3wxN9xwA2vWrGH16tVq+u3zzz/P6NGjufvuu/nwww/p7OxUicHY\nsWP54IMPuOuuu5Qs78477+RXv/qVkjF+9dVXijz67LPPmDdvHj6fjwPHSyhqizmnmmFfvZf6YBsz\nc1P/6b78fzx+XEA+d8YPfSrfKnqA/JnoAfLfc5SdaubnT37yjY+3+Y/ha9zKZ599xmeffcb1119P\nUlISZrNZubY4nU5iYmIYPnw48+bNY//+/cpfefv27UybNo2FCxcqeYzD4WDTpk3MmzePq666is2b\nN9Pa2orX6+W9994jKSmJ++67j9bWViorK6msrOT48eOMHz+en/zkJ+zcuRO3201hYSHFxcWsWLEC\ni8VCSUkJtbW1fPHFF/z6178mFApRUVFBXV0dR44cYebMmfTt25eGhgbq6+vx+XwMHz5cfYCJFaNI\nRTo6OkhPT1dSEQGs4i6TkJBAIBDA7XaTkJBAdna2sk0UaYCUu7U2eyJ70bK70tTZ3t5OQUGBApCt\nra0YDAYFmMUmcty4cQSDQdVwp9frlY+7VlN7trY2PT0dr9erpESiz+7o6CAlJQWn06msDLVuJIDS\nJwsjqGXlxaqxoKBA2eAJQJbjdHZ2KocNATWiD9YyycLmyzrKc00mE21tbcryU/TrwqjrdDoKCgoY\nPnw4DQ0NbNq0idbWVlJTUxk3bpySHEUiEerr62lvb8dkMimHD/EZl0qJ3F8BkaK7loqG0WjE4/Go\n5uCWlhY1aKu4uFitm9ZVRmQWoqHXavThDDiMi4vDarUqRj4SiZCUlERzc7NqZBSmVhyGJBHQOgx9\nXyGAXPayturyz0JYbPndmJgYkpKS1PtF2GOj0ciAAQM4fvw4jY2NKqmsrKzEbrd3Ow8B8SINEwlL\nSkoKS5cuZerUqURFRfGXv/yFqqoq3G43ffr0UT7utbW1tLe309LSogCyDHgyGAx4PB4lQ5NrkKQc\nzkxPhjOuMtr3jzSrauU2chyLxaJkUoB6r8ua6vV65ewEqAZubeIr+yg2NpaMjAxmzJihBu8ZDAYS\nEhIYO3asmrewe/duNUF1wIAB9O7dG4PBQEdHByNHjqSjo4Oqqip8Ph+hUIhx48ah0+lYtWoVhYWF\nhEIhZs6cyYoVK4iLi+Nvf/sbpaWlmEwmLr/8ci699FIeffRR1q1bRzgcZsiQIbz66qs0NTVxzz33\nqCb5Sy+9lD/96U+YTCYeeeQR/vznP9PW1kZGRgYvvfQSc+fO5cUXX2TJkiU4nU50Oh2zZ89m165d\npKamUlpays6dO0kOBwhGx1PfGXPOPVfiDHJpXipWfdw5H++JHxmQ7zfjO3GV+d5da3qAvIoeIP89\nxztrj7D7q0r1vY4zAGDFTybx28evYP369fj9furq6njppZcYPHgww4YNIzU1lXA4rPzYxYlg4cKF\nBAIBiouLaWxsZP369SQlJXHttdcq/2aXy8Xu3bsxm808/vjjbN++XVkr7tq1i6KiIh599FGsVis2\nm43a2lpKSkqwWCw88sgjHD16FLvdTnV1NV988QULFixg2LBhFBYW4nA4+Pzzz7n11ltJTU2lpKQE\nh8PBkSNHGDNmDEOGDKGxsZGGhga8Xi/5+flKZuLxeJRFooAV0YpL81tHRweBQECB+WAwiM/nIyEh\ngYyMDLxeb7cGN2m6BLoxkVoWTcCo1+vFaDSSnp5OIBDodh7C3EsSMGTIEMUSSrlZJBZau0Bh6OPi\n4r7WEJedna3YP7HMlApAKBTq1qgJKOCmbdCU5Een0yn9vtfrJRI5PehIPLwFSAv4j0QiyupTji3J\njmj9RecMKKBmsVjUsYPBoHKS0el0GAwGBgwYQGJiIq+//jodHR0kJyczbNiwbo44jY2NKsEyGAyK\n1RbHIO2AH1lT6Q2QBkqpPoiFJ6AacYuKipR7j7Czcj8kCRLwK0mLgFvRvmdkZJCcnKySusTERNxu\nt5JHCbgT4Hd2M+13Iav5ZyGg/Oy99k0h16p15REHI6PRqByEhC0XC1hhy0tKSpScCk7726enpyvL\n0kgkovZwTEwMs2bNUk5PO3fuZMeOHbjdbpWcZ2ZmKhmUDEyTtRTZSyAQUM3h5wLu2v+LxEWsI6VS\nJsy6MPPy3KSkJDwez9dAvLyXpLIgyZkk69rX00rWMjMzueiiixgxYgRtbW2YzWZMJhMjR46kpaWF\nffv2sXfvXjXfITc3l8zMTFJTU4mKimLo0KF4PB7q6upUsiAzK1avXk1lZSWdnZ1ceeWVLF68GK/X\ny7p161Sj7IIFCxgwYAB33HGHGso1e/ZsfvOb3/D+++/z7LPP0tzcjMVi4d577+Xee+/FbrezfPly\nvvzySwAmTJjAG2+8QVZWFgsWLODVV18lHA6TmJjIv//7v7Nq1Sra2trYuXMnpaWlRCIR+vbtw+2z\nJ9NJFAcbfefce1mGeMZkWv7be/1/efz4gPyPIHqA/JnoAfLfYzz17Oc8/8rXBz8JmM9KsnHD9Vdx\n1113UVJSQmlpKaFQiPfff5/CwkIWLFhAcnKyavZsbW1VuvGZM2cydOhQvvrqK9xuN7t27aKsrIx5\n8+Yxf/58ampqqK6upry8nNLSUp566inKysrU8Kjy8nI+/fRTlixZwvjx41Wj7MmTJ/F6vdx///3K\nAtHlcrF161YmTZrErFmzKCwsxO12s23bNi699FLGjx/PsWPHcDqdHDt2jLy8PEaMGIHb7aapqQm/\n309eXh5wZgKqSFPEMUQ0vKIZlwFCRqNRsWSBQED5fgs7fjZ7B90//AVky886Ojrw+/306dOnm7OK\nuOFI86fIEHr37q0s9KQpMhQKddNLS8TGxqoqgyQbgHISEo24NIkKUBc2XUCiyG60jaHahtDMzEw8\nHo9qToxEIqpvQI4n66MdYiSDhQTESyIkgFEaIaXSITrjUChEfHy8OreMjAzKysrYtGkTXV1d9OnT\nh7a2NtLT09WwIbfbrby7xWozGAwq8CMJi1RjBLDKhFBh4T0eD+np6bS2thIMBsnJyaGlpQW73a76\nJrT3Gs4AWq1rixYYyrWmpqbSt29fgsGgkgIJqBSwJ0mUtsJz9n77vkJeR67n//SaUimQaxdZU3x8\nPGazWbkqSZO3w+HA6/USHx9PYWGhYsThdBUrOztb3QvZG7LH+vbty4oVKxg0aBClpaVs2LBBJQF6\nvZ7s7GzlCBUMBgkEAur+CynR0tKi1lfWW65T27CtvXeS1GjdZ4BuXvDR0dFqyJf8rl6vV0mEuExp\nv5ehcto1lvelMPGzZ89m8ODBasZDeno6w4YNIxQKsX//fg4dOoTT6SQqKopevXqRmpqq3JwGDBhA\nTU0NLpeL9vZ2EhISGDFiBEeOHOHll1+msbGRmJgYFi9ezOzZs6murmbLli00NDSQl5fHwoULaWlp\n4ec//zk1NTXEx8ezfPlyFi5cyDPPPMO6detob28nNzeXZ555hlmzZrFp0ybuueceampqiIuL4yc/\n+QmrVq3i+PHjzJgxg2PHjhGJRMjNzWXHjh1HKczUAAAgAElEQVRMnz4du93Oli1b1BC2CRMmMGrU\nKGJiYvjH229xMiHjnHvvS7uH1o5OJuck/zd3+//q+PEAeX3yj0gjv53OkKcHyNMD5L+32LqrnMee\n/vQbH4/tqqCq/FM+2rCBESNGcNtttzFmzBg+/vhjQqEQJ06cYM2aNUyfPp1+/fqpITwywj4cDjNs\n2DCuvPJKioqKqKuro7y8nM8++4yhQ4dy/fXXY7FYOHbsmBoItWzZMmJjY7HZbLS1tdHY2MjGjRvp\n378/S5cuxeFwYLfbOXXqFDU1NSxcuJCRI0eyZ88eAoEAu3btIiUlheuvv56ysjKcTid79uwhNzeX\nBQsWcPToUVwuF8ePHyc9PV1N+hQd6IABAxSzKWyq2BEmJSV1a+AUVlkaHIUtExZbO/RFAK8Ae+0H\nPXzdAUSOO3jwYCWv6ezsxGQyqYY4n8+ngFCfPn2oq6tTDLL4ep+tl5bSvgAQASpWq1U1GUZFRSkn\nmtjYWKUJloZPLRMsDjDC7gvrmJycrLT40gwbHx+vJBQyOVauVau/j4+P76b5FbcWYbBlGqow9XK+\n4hojicOuXbs4efIkSUlJ5Ofn4/V6lROPJF6SsAgIFlCUnJystMV+v18lbQI+4+PjMZlMykLUYDAQ\niZy2pJTje71eampqvsaeS4isRPTUkjiKhESaPQsKCvD5fHg8HuU6IjIrSfy0/2r30/cdZ7vk/DMg\nL9UGOCOfSkxMVI2eycnJyh1JqhBibVpcXNzNJUav19O7d2/FwEtPgzRRWywWNfyotraWLVu2YLPZ\nCIVCmM1m9Ho9er2e6upqampqVL+P9EE4nU5VmQO69QBor1sSB61USCt5kd+Li4tTSXN0dDRJSUlK\n3gZnpsBKUpSUlKT+dsi1aYdtye/IezQzM5NLL72UgoIC/H6/SvAHDhxIR0cHBw8eVOSGuPhYrVby\n8/NJTU0lOzubEydOqPekxWKhf//+fPLJJ7z//vu4XC6MRiPLli1j7NixlJaWsmfPHjweD8OHD2f+\n/Pns2bOH559/Ho/HQ0pKCg8++CBpaWn87ne/4/Dhw8TExDBlyhR+//vfk5WVxfPPP88LL7yA3+/H\narWycuVKFi9ezFNPPcXtt9+Ox+MhOjqaq6++mk8//RSTycShQ4c4cOCAkgHOnDmTzMxMysrKuPnm\nm/lq62awpEJaztf2n04Hh5t8jEgzkWvR///Z5v8vxI8HyP/YGPkeIA/0APnvLf7x0TG+Olh9zsfu\n+ulUxg4NU1xUhMvlYv369Xi9Xm6++WbuvPNONdkvEAjwl7/8BYfDwZw5c0hNTSU6OlrpSZ1OJ8nJ\nySxcuFDJDRwOB5s3b6atrY1rrrmGqVOnqmmwhw4dYtiwYYwaNYqysjJaW1vx+/3s3bsXu93O/fff\nr4bh2Gw2KisrGTZsGIsWLWLXrl34/X4OHz6Mx+NREwIbGxspKiqis7OTW2+9lcLCQjweD8XFxZjN\nZoYOHarYdKfTqRgtkX0Igyve7sKwC/MnrL3YLwqYT0xM7PYBDSgwr2UmhfUVEAengUNrayvR0dEM\nHjxY6bml3B4MBgmHwwSDQYxGo5LIaPXtkmhoQ15DhkQJAO/s7CQtLY2uri4FTqUhVfT7MpVWm2xI\nIiHnI3Ibk8mExWJRmn+RqcjUWpFjaddQ2ygorLRWHy+vJcyrTIwFFMDt7OzEaDQSFxfH5s2b8fv9\n5OfnM3fuXE6dOqX07ElJSbS3t6vzFpDe3t6uHpeIj49XE2oFuImzTVpamrrXBoOBuro61Yzncrmo\nr6/H6XSqhAPO+LtLtUHuudbmUWQn4ogUDodxuVy4XC5iYmIUcy0gUuwG/1UAXhtaff8/e32pqkiy\nJyA+Pj6etLS0bs4+ZrNZTci12WxfczXKyclRgF104NLHkJCQQEFBAcuXL6ejo4M9e/ZQXFysJGAx\nMTHq/hQXF9Pc3Izf71duN42NjarhVVuVOXvQU2JiYjemXth4ua+ig9dKjqKiokhNTVWJslyPJGUC\n4qXRW0C81lISzvjFR0VFkZGRwZw5cxg8eDDNzc3ExMTQr18/BgwYAMDBgwc5efKkmhlhMBhITk5m\n+PDh9OnTB5PJxJEjR9T5paenk5qayt/+9je2bduGz+cjMzOTpUuXkpuby/Hjxzl8+DDt7e2MHTuW\nCy+8kLfeeou1a9fS2tpKQUEB9957LzabjVdeeQW73Y7FYmHJkiU88sgjOJ1OfvGLX/Dxxx/T2dnJ\noEGD+OMf/0i/fv246qqr+Pvf/044HMZkMvGHP/yBRx99lEAgwLZt26iurkan0zF48GCmTJlCQkIC\n//Ef/8Ejjzxy2tUrNpbrJgxlyuQp7G84I8E6fR9O/9vblMDE7CR6olv8uIB83o+Ekbf1AHmJHiD/\nPcS6j4+z8rktdHad+4P3d7+cztw5lzJjxgz279+P0+nk6NGjfPLJJ4wbN477778fq9XKrl27aGtr\n48CBA7z77rvMmzePrKwsJS0Rdr69vV01YB06dEiB9iNHjjB58mSWLFmCw+FQTjM6nY5Zs2ZRXV2t\nmg3LysrYvXs3S5cuJSsri+bmZiorK6mpqSExMZF77rmHI0eO4HA4qKiooLCwkNtuu4329naqq6up\nrq6mqqqKO++8k/LyctxuN+Xl5cTExDB06FDVRNrQ0MCwYcMU8y3sp8FgoKGhQQ1gkg95AcLt7e3K\nHlL01qKnFocKYSRFm61tNNUywnBa9xwIBEhJSaFfv37U1taq4U0COoW1k+mVVqsVr9erXk9YeQFC\nWq2uJBLCmpvNZgWEoqKiCAaDCrzLJEphxQXMyLqI1aaAEYvFojz+ZR9IEhITE4PJZFLa/rOnhkpV\nQCoZojmWtdXr9SQnJ+P3+5U0RQZFiXZfr9ezZ88eOjo6mDRpEnPnzqW2thaHw0EgEMBkMqmkS6of\nAsoMBoOS4MBpXX5DQ4MCaVIl0Ov1GI1GNUFUJFAyIVgqS06n82se6wJ+xa1GQK7sAalCJCYmkpmZ\nidFopKqqCo/HQ0xMDOnp6UrjL+ckcbZzzb8i/k+vJ/Ihed9IVUOv16teANm3kvw2NTVRX1/f7Thx\ncXHk5uaq95UkdvJ7p/XSfbn44ovp168fBw8epL6+nmAwSHNzM3FxcaSnpxMOh5Wsz+VyqT3V3Nys\nJuZqp/FK8irXKT0S2iZwreOQNoHWVt6Sk5PxeDxqb2mntkZFRWG1Wru9X8S9Rnt/ZSAZQFZWFpde\neinDhg3Dbrej0+nIy8sjPz+fmJgYDh06pPagJDpms5nx48czaNAgIpEI+/fvV24/vXr1QqfT8cor\nr3D06FFaWlrIz8/nuuuuw2w2U1xcTFFREbGxsZx//vkMHTqUF154gf3799PZ2cnkyZO55ppr2L59\nO+vXrycUCtG7d2/uvfdeFixYwI4dO3jiiScoLCwkNjaW2bNn8+yzz3L8+HGuvPJKiouLASgoKGDX\nrl1MmDCBiooKduzYoSomU6dOZeDAgdTX17Ns2TKVEPTq1YsXX3yRaxYuJMFl5/26lm64SuJIk4/e\nJj0DrYb/3/v8f3H8uIB8vwt/6FP5VtED5M9ED5D/jmPnngp+eu97dHae+8M3pquKDf/4PXC6UWnx\n4sUEg0GKiopwOp2sW7cOv9/P3Xffzc0338zGjRtxu904nU7+/Oc/ExMTwwUXXKDYeQHiTqdTSVzE\nj7m6uprt27djNpu54YYb6NOnj5LaNDU1ccEFF+D1epW8pKmpiW3btjF69GimTZuGx+NR5XGv18st\nt9xCIBDg1KlTOJ1Odu7cybXXXktWVhYnT55UCcny5ctxu90qGQiHw5x33nm43W4A7HY7w4cP7+YG\nIg4nzc3NCkjIB7QAcQG+8mEu7jdaMC8gTqQoAuZFWiGNa5FIhNbWVjweDwMGDCA1NZW6ujqCwaBq\nMhbLSWGjk5KSVL+C6NbPJbERxlsAsVyHMNUCirSaXC2QEU9ruYbY2FjVHCf67vz8fFVREcZcAFxq\naipNTU0qEZHjw2ngrAXy4iAjrL4ADkkCRDculQZpZK2oqCA6Oprzzz+fwYMHEw6HcTqdyr4xIyND\nXZO47EgFQuQxosN3Op2qeqC1AzSbzeTn56vmyM7OToLBoJIb2e12xYRqLQpl/eCMxEa7xtJrYDab\nldb5+PHjBAIB4uPjycrKUn7mAuS19/iHYOb/WcieF0lXXFyc8nqX/hO3262kIg0NDWqYmkRcXBwp\nKSlkZmaqakVXVxctLS2Koc7KyqKgoIBx48ZRUVGhiIRgMIjb7SYpKQmTyaQa56W3JC0tjebmZhwO\nh3JZkgQbuq+nJA8iOdMONRMHmXP1KkgV6WwmXio0qampalKxViqklStJkguQmZnJrFmzGDVqFNXV\n1XR1ddGvXz8GDRpEfHw8hw8fprq6GpfLpSqLZrOZSZMmMWbMGLxeL/v27cNgMGC1WunTpw+NjY28\n/PLLamLxmDFjmDt3LpFIhJMnT1JWVkZycjKTJk0iPj6eF198UZEhc+fOZcSIEWzYsIG9e/cSGxvL\neeedx+OPP86gQYN4/fXXefnll7Hb7SQnJ3PTTTdx++2387vf/Y5f/OIXuN1uYmNjueqqq/jwww9J\nSEhg3759FBYWKmvbCy+8EKvVyl//+lfuvvtu7HY70dHRzJ8/nzVr1pCdnc2yZcu4647biUnPIS67\n39f2YlcEPqtsZnSGmd7mHonNf8WPC8j3v/A7d5j5XlxrKnqAvEQPkP+OY/VL2zlR5jjnY+NGphLb\n/iVer5uvvvqKzz//nPHjx3P55ZczZcoU9u/frwaxbNq0iWnTpvHYY4/hdrs5cuQIbW1tbN++nc2b\nNzN79myysrK6aefFv/nqq6/GYrFQXFyMw+Fg37591NXVMXPmTC6//HKKi4sVIzdw4ECVEIRCITwe\nDwcOHCAcDrNkyRJCoRANDQ3U1NTQ1NTEnDlz6NevH0eOHMHv97N7926GDx/OjBkzKCwsxOv1cvjw\nYS6//HJiYmKUe41MMnQ4HOrngwYNUk4x4nii1+vV1FKxIhRNuhZwim2j1qtcC+YFrGp9tbWsr1Z/\n7nK5OO+884iOjlZgVHTEMjRJAG1GxulmL/G+10ovgG56XkkaBDCIVZ0kACIRkAqAVgcvLKEcW5IQ\n+X9ycjJJSUkEg0G8Xq9au9jYWEwmE16vV0lv5LyEtdc2CRqNRuBMdUF6AkwmEw6HQzHrUgGJjY2l\nuLgYj8dDamoqc+bMUTIaAYzi8iNTWv1+v6rACLCLj49XQ57cbrfS0osERu6P2PfZ7XblYOP1etUc\nAGGaBeBpZVWAsrIUVl6el5CQoJjiUChEY2OjAq0Gg4HGxkbV1Kxdv/+Tj/u/OgQUy/VKc6tUZ2To\nmMibampqcDqd3Y5hMBgwGo1kZWVhNpuV3E3mCFgsFmJiYujduzfTpk3j1KlT6PV6xZofPXqU5ORk\nUlJSqKuro7a2lvLyctrb20lNTcXn89Hc3KyYcNG0n635j46O7jatVRJieUz7HoAzshq5dklaZTic\nPCc9PR2Px6N+Jo2v2mRPhmRFIhEyMjKYNm0akyZNwmaz0d7eTu/evRk+fDh6vZ4jR45QX1+vrknm\nEEybNo2pU6dSVVXFgQMHMJlMZGdn06dPH44ePcprr71Gc3MznZ2dzJgxg4kTJxIKhVSlNDs7m7Fj\nx2K323nzzTdpamoiKSmJyy+/HIPBwPr166mqqsJisTBr1iwefvhhWlpa+P3vf89HH32E3++nb9++\nPPDAA4wYMYKf/exnrF27lvb2dsxmM6tWreLxxx/H5XKxfft26uvriY6OZuTIkYwfPx6fz8fPfvYz\n3nvvPcLhMBkZGTz33HPcfPPNFBUVMXr0aPbs2XP6b17ZEYZNvRBv7LmZ964IXNyvx1v+v+LHBeTz\nfiSMfA+QV9ED5L/DqLV7eP7lXXj9rcAZPS6A2RjNjg33cOMN16uGUofDwT/+8Q8CgYCyHHO73ZSW\nltLc3MzatWtpa2vjl7/8JbNnz+aTTz4hEAhQV1fHG2+8QWJiIuPHjyctLY24uDjFrDudTsWqnzhx\ngsbGRk6cOMGxY8fIzs5m6dKlygPe7XZjsVgwm820tbUpNwmbzUZhYSHXXHON0tRWVVXR1NTEwIED\nmTNnDvv27cPn83H06FF0Oh0333wzJ06cwOVyUVRUpHSidXV1NDc309jYyIQJE2hqOj3a2+l00q9f\nP2JiYnC73d0aVUWSIlpZ7WRFkXgIwBcWV4b3CGAEuvmIiy+71sVFy8yPHTuWQCCg/PuFNda6yYTD\nYXJyclQlRDtNVhvCHopFnmjepXQvFQZxdAEU2ywgVis9ONvyMhwO06dPH6UdFyBuMBiUvaMM0NJ6\n3YsDiZy3yWRS6yYym8TERAYNGoTdbichIYFIJKJARVdXF6WlpYTDYXr37s2iRYtobm7G5XKpRj+x\nG5R1FxZfkg2LxaIAvdVqpaysjLa2NtU/IB758pyRI0cqhxVJgOrq6hTDqh3uo5U3ae+/ML0CBnU6\nHVarldTUVCorK5XMSxqupXn3bCD/r3CrOTv+mWe99lplEFZSUpJKXqQHAaCioqLbwCVASZeMRiM5\nOTmqWiGVnrS0NCUZmTBhgqow9e3bl9bWVvbs2YO4wASDQWw2G+Xl5fj9ftVj4XA4VDIs70Ft8gtn\nJsqKlO5c3v/f5EylZfdlD8vPMzMzlfwQzjTGSoIg+0L+XmRkZDBlyhQuuOACbDYbgUCAjIwMRo0a\nhdFopLCwkPr6enVNDQ0NGI1Gpk+fziWXXEJhYSGHDx/GbDarSdKbN2/mnXfeURI1IUNaW1upqqrC\n5XLRt29f5UK2efNmfD4fvXr14sILL8Tn87Fp0yZlP3zjjTeyaNEiDh06xB//+Ef2799PJBJh7Nix\n3H///VRXV3P33Xdz/PhxdDod/fv357333uPiiy/mxIkT7N27l5aWFsxmM9OmTSM3N5d//OMf3HHH\nHdhsNqKiopg1axavv/46/fr1U71bgUAAgPz8fI4dOczPpo/lzSOVhCJf35/BcAezclMxxZ3be/7/\nsfhxAfn+F/3g+vdvpZGv2NoD5P8reoD8dxS2KieXX7+GRkfga4/pdDp8rhI+eOffWbBgAZdddhlj\nx47lwIEDuN1uDh8+zMaNGxk+fDjXXnst48eP58CBA7hcLg4ePMiWLVu47LLLePjhhyksLKSyspJg\nMMjWrVvZs2cP48ePJycnB6vVSltbmxr+lJiYyFVXXYXP56O2tpaamhqOHDlCa2sr8+bNY8SIERQV\nFSlXErPZrABNS0sLbrebvXv3Mm7cOIYMGYLP56O6uloNO1m8eLFKOqQ5dunSpbhcLmpra6mqqiIp\nKYnzzjuP2tpafD4fdrudMWPGKIYsGAySnZ2NwWDA4XAoICFNmq2trQpMCqA5G8yLJl5AqjCpWi92\n7aAcrZWggDMB5QIaW1tbvybXkMpFdHS0KpULs6hlakVCIs2vAtoFJGtt/Lq6uhRzLa4iwhBKBUKq\nCNrziUQiilGWqbmSOMhEWS3AF5ZapDVatxytllgAjdlsVkmVyF/0er1yi+nq6mLgwIFcc801NDU1\nKecXSQzC4bDai1FRUUoC09XVRWZmpvL57t27N+Xl5cqbPCoqSjkaJSQkkJOTQ2JiIklJScrONCEh\nAY/Hg9Pp7DYLQLv+0J3Flb2htTI0mUy0t7crT/6EhAS1f0KhUDdHHO3a/98UAkSlgVccagTMike+\nzWb7WhKSlpaGwWBQ+/n/Y+/Mw6Osz73/mWTWTGYmM5PJvhGSkJCwBcIiCLJpgQJWRbRI0UNbq77a\no8ftuLbavrXF9liltrYutbYudYEq7igiCrKGPRCSkH2ZJZmZZLJP5v2D3j8moD128VL6cl+XVzDL\nM888yzzf+/59F+Gmd3d309nZic1mw263ExMTQ1paGqmpqcq6NS0tjW3btlFdXY3dbldhdC0tLcqR\nxmg0qgm0rIpFpwlLCQVOrvfo4y1fT7WF/Cwr0OgpfWJiogqhA4ZZzMr/yzUnoH/y5MnMnTuX2tpa\nlSRcVlaG3W5XdCG3241Go6GmpgaLxcLMmTNZtmyZyuewWCyUlZVhtVp57rnn2LBhgwprW7JkiUqA\nbmhooL+/nxEjRpCcnMxbb71FeXk5PT095OfnM3HiRKqrq9m5cyc6nY78/HxuuOEGRbF59tlnqaqq\nwmKxMG/ePK644gr+9Kc/sXbtWtxuN3q9nnnz5vHSSy/hcrn45JNPqKysVDShmTNnotFouP7663nm\nmWfo7e3F4XBw//33c/3113Pw4EEmTpzIJ598oj5b7r77bl544QUikQirV6/maPcQMa70067Lrv4w\nr1a1MT8nkQSD7p+6xv8N6gwD8mfKRP4skJc6C+T/RXXTXX/h8NG2T/1ZTKQTf9NLtLY08OijjzIw\nMMDll1/OihUr8Pv9aor96quv0tLSwiWXXMKKFSvweDxUVVXhdrtZv349vb29rFmzhoyMDLZt26Ym\n5+vWrcNoNDJ+/HiSkpJUYmZvby9dXV3Mnj2btLQ0amtr8Xg8HDhwgMbGRoqKili2bJkC53Di4SYT\nYHGb2bdvH3q9njlz5hAOh2lqasLtdtPX18fChQvVQ0kcbJYuXYrVaqWmpoaWlhbC4TDTpk2jubkZ\nv99PS0sLxcXF9PX1KYqKy+VSk/++vj4cDofip3d3dyuQASdpJtFCOVlWFz/66KCX6GRSmdZHu5gA\nin9tNBrJzs7G5/Mpbrjw5QUE+/1+zGYzycnJNDc3qymibE+AtgTQSFiTiGkNBoOikQgQEUGc0Eyk\ncZDfk0lz9GsIPUWmx7I9i8VCJBIZJtiEE9NIu91OOBxWQkIRRAqdQYCN0Gw0Gg1OpxOPx4NGo8Ht\nduP1eomNjWXGjBnKWlPen0z2Zbtut5twOKyCn8R+Ly4uTtF4vF6vcgQymUyEQiG1IpKXl0coFCIp\nKYn+/n6qqqoUbUSuJwGK0ZQkaUqiAZ9er1eNikyxZQVAbBqF0y+8fLluZJtfpZJpvDjt6HQ6EhMT\nFeVlYGBANc/RJRQrh8MBoLjx4XCYQCCgws/i4uJwOp3odDpcLpfi28+aNYsdO3awefNm4uLi0Ov1\nHD58GJ/Pp6hVkrsg5yF6tSzaPSiaFhQ9SY92HzoVxEd/L/qcyL0kgm+hhMnfCaCHk5QyuddSU1OZ\nMGGCMgHweDxKuOpyuaisrKS1tVVZdh45coT4+HimTJnC6tWref311zl27Bhms5nZs2cD8Nhjj/Hh\nhx8SGxtLUlKSoqFFIhGam5sxGAxkZWWh0Wh48803VbNVXFzMyJEjFQ/fbDYzbdo0rr76arRaLc8+\n+yzvvvsura2tpKWlsXDhQsaMGcOaNWvU5D4hIYFrrrmGhx56iPb2dj7++GNFlZs4cSLjxo1j06ZN\nXH311Rw5cgSAGTNm8Pvf/56SkhJWrVrFjTfeqKbwBQUFHD58mPnz5/PCCy+wYsUKKioqCNcexjRm\nGhHDydA2OEFj7gsP0djZy9dHJv2jl/i/S505QN50JnHkzwJ5qbNA/l9QkUiEnz6yiUDwxJQzejqY\nk+ng47dupqe7g3379tHX18eWLVt4/vnnOf/88/nGN77BzJkzKS8vx+v1cvjwYV577TVGjBjBf/zH\nfzBu3DjKy8sVd37jxo1cdNFFXHvttezYsUNRDrZs2cKuXbsYNWoUI0aMGJYK29nZSWZmJjNmzFDL\nwjU1NRw5cgSdTscll1yC2WymtrYWGP4glcmkiF7PO+88bDabEswGg0EmTZpEamqqEsHu3buX0tJS\nSkpKqK6upq2tjUAgwKRJkwgEAgQCAdxuNzk5OWi1WjwejwpSio+PJxAIEAwGSU1NVZNjWZY+VSgX\nTamQ75nNZjVZFeAgk/Fov+1oxxmZend1dakVAgmUEaAqXFNJnk1JSSESiSghYTTgEHeUaE/4/v5+\ntcIgATRyrIXXLCFKQkMRX3NpXgwGg9pfoSKZTCa1rzKZlf06lUaQlZVFV1eXAjXR4lexxxQKRCRy\nwiI0KytL0Vrq6uro6enBbDZTVlaGzWajqamJxMREFQQlxykjIwOfz6ecSqLdRmTaLiJa2b6sCMm5\ndDgcSgMRnQJqtVppampSFAcBntG+9dErItKkiKBXQKI0F+IqJNakwvOXv5Up8VcJzIuw1Ww2o9Pp\nMJvNmM1mFarm8Xhob28f9jcajUYJMMVONDc3F6PRSHNzswo70uv1irIXExOjgo3Gjx9PZ2cnGzZs\nIBAIoNVqqa+vV/QqaTyjw5nEzvNUOo00U8CwlY9PW12RbX0ajQ1OfmaJM5S4Tsl7jv4bp9Opmm+d\nTkdmZiZFRUXMmzePlpYW3G43JpOJsrIyMjIy1GdYW1sber2eiooKNTi5/vrreeWVV6itrcVkMrF4\n8WK8Xi8PP/wwe/bswWQyMXLkSGbPnn3CwlGvx+12Y7fbSUlJoaWlhU2bNuF2u9FqtYwZM4aEhAR2\n7dpFX18fCQkJLF26lCVLltDU1MSzzz7L7t276ezspKioiAsuuIC+vj4eeeQRDh48SCQSISsri5/+\n9KdcddVVHDp0SK3Culwu1Xzfc889/OpXv6Krqwur1cqdd97JbbfdxqFDhygrKxs2hb/33nt57rnn\n6Orq4pvf/CZPPfWUsoX9/jXf4zf/51u8VeMh0D94Emf99RQORiKsHJ32N+lh/x/UmQfkz4A6C+RP\n1lkg/09Wb98gN9y+jp3lwz3j5YNrsK+eOTMyWblyJVdccQXvvvsuXq+Xjo4OnnjiCerq6rjqqqu4\n7LLLCIfDHD58mI6ODt5++22OHj3KpZdeyooVK2hvb6empga3283GjRsJhUI8+OCD9Pb2qvTEmpoa\n3nvvPfr6+igpKSElJQWz2aw43xqNhlmzZqHRaGhpaaG1tZXDhw8TCASYOnUqU6dOpaqqSj1w5UEn\nglThvmdmZlJYWKi+19HRoRwd6uvr8WsbEOwAACAASURBVPv9HDp0CLvdzpw5c2hoaFANRHFxMYOD\ng8qJJzMzk/j4eAUi0tPTFcj1+XykpaUpkC50F6ETyBQ8mr8sk/ZoG0kBddHAIXraJ2BBJvs9PT3k\n5eUxNDREIBBQjYLwfK1Wq1qtKCoqorW1VXnjnwr0ornywumX15fXFvCl0+lU2FE0EBVgJJN72Xe5\nxoQaE82Hj4+Pp6WlZdjKg8TGC1AVCz5ZoRgcHFQe7rJ9AfxxcXH4fD7l4JGUlER6eroCaQMDAzgc\nDvX6g4ODOBwOIpEIPp9PTfRlIi6e3omJicP89sWWU669/v5+kpKSGBoaoqurS9GT/H6/0l1IAyLp\nttHNCwwHgBI2JUFRwoM3Go2YzWaV/Ct2l3Cyafoy+PF/q2JiTiT1JicnK/9/2f+mpiY1jZaS8y3B\nYSaTiYyMDCZNmkR5eTmBQEA1A8Kz12g02O12srOzKSwsRKvVsnnzZsrLy9FoNKpRCwaDylY12jFK\nQs+ip+GAarBguPf/Zx3nvwXi5ViI8H1wcPC09y6Vlpam3G1iY2PJy8sjNzeX2bNnK2cdjUZDWVkZ\neXl51NbWKpcfEXprtVpKSkq47rrrWL9+PQ0NDZhMJi655BIOHTrE2rVrVVjauHHjGDNmDI2NjUrI\nn5SURFxcHAcOHGDPnj0Eg0HMZjMlJSX09fVx7NgxRWdauXIlY8aMYc+ePbz00kscO3aMSCTC+PHj\nmTZtGrt37+bFF19UE/6ysjIee+wxSkpK2LVrFzU1NWg0GgoKCpgyZQoHDx7kuuuuU7z68ePH88QT\nT1BWVsYVV1zBzTffPIwLf+jQIebPn8+jjz7Kd77zHY4fPw5AaWkp69at4/zzz2fHtq386cPtaJyp\nisIsFewf5High/MynWhj/r8F82cUkLfmnyEc+eqzQF7qLJD/J+sHP3uLP6/f+6k/0zBEOLiJl178\nA9XV1Vx44YVcd911mEwmPvnkE+X48OSTTzJu3Dguu+wy5s+fz4EDB2hra6O6upr169djNpu5/vrr\nGTduHBUVFbS1tXH06FE2b97MxRdfzMKFC9m3bx/BYBCfz0d5eTn79+8nMTGR/Px85dstgKuwsJCc\nnBza2tpob2+nqqqK+vp65ZssE3E4EQYkFAvhPNfU1BAKhRg7dixarValtyYkJDBhwgS13erqarq7\nu7noootob29XD8SMjAyMRqMK4UlKSsLhcNDa2kpHRwe5ubnK7cXj8SigItSNgYEBjEajEpJGT0yF\njy4Wc9EuGAIUTg3ZiQYUMhEOh8OMHj1aiV9lWiuhRgLK+/v7SUtLw+PxnGZnJ3Z/sl8C6sV5R6aX\nApgGBwcVGA2FQsDJqWU09QVOgDIR7kWLCOFklL0E40RTGbKzs5UGQsSQFotFnW+Z8AvAl+Ot1Wqp\nqanB7/cTExNDUVERqampNDU1YbPZ1BTYarVit9uVS4rD4VAOH319fVitVkVVSkhIwGq1qv2V1xPO\nuohUhf5itVrR6/XK8u/48eN0dnaqKbNoD8TSVEooKNI4JSYmKuAnk3etVqtAoLi8RK+yfNWm8YDy\nbc/Ozqa7uxuAjo4OFZwVXQKqbTabagaTkpI499xzqa6upqqqitjYWDIzM9XKl06nQ6/Xk52dzTnn\nnKMcWzZu3EhnZyfBYFC5+wDDpu7CP5d79tR9OXU1TL7/94J4aezleJy68hP9e9FNbCQSobi4mPT0\ndGbOnInf71c6jkmTJlFUVKQGEG1tbcTExFBVVaW0IatXr+add96hqakJs9nMsmXL+Pjjj/nNb35D\nQ0MDSUlJnHPOOSQlJdHU1KRoWy6Xi76+Pnbu3MmxY8fo7u7GZrNRXFxMS0uLsokUvZTdbufdd99l\n06ZNNDc3Y7FYGD9+PLm5ubzxxhts3bqVQCCAw+Fg4cKFPPzww0QiEfbu3Yvb7cZisTBhwgRGjhzJ\nL37xC37xi1/g9Xoxm81cddVVPPDAAxw5coSpU6eyY8cOtTp4xx138Oc//5m2tjaWL1/OSy+9pFba\n7rnnHtasWYPRaOSyyy7jgQceoKe1AdOkOWhiYk879lX+broGBpmZ4fjbF/S/b51ZQD5v7pe9K5+r\nzgL5k3UWyP+TdesPXqMr1H/a9+02E3f/1xTqqnfQ3t7O0aNH+dOf/oTdbufb3/421157LR9++CEt\nLS10dnbywgsvsGvXLlavXs2ll15KXFwchw4doqOjg23btrFt2zbmzp3LypUr6e/v5/jx47S1tbF9\n+3bC4TA33XQTbrdb0V3q6urYs2ePAsZiKSi0CqfTSUlJiZp8t7S0UFlZiUajYfbs2bhcLjweDzEx\nMQSDwWEPzJ6eHrxeLw0NDaSkpJCSkkJPT4+aYoq7hc/no7m5mdraWhYvXkxsbCzNzc243W419RMr\nQZfLRWJiovqbnJwcFZ3u9XpJTExUfHChnkhwkEzdowF6tG+5TLUF3EVPhaPBRLSYViwwc3Nzh9n3\nCe0jMTFRhUrZ7XZiY2MJBAKnTR5lqi6vIR72AuQlCEpoNdJ8yPRZGhRpEmTSCSiRo9CCop1ZIpEI\nnZ2dw+gMMTExOJ1ORTsQLrH41Mv24+PjFWdcmpqBgQFlKWg2mzn33HPR6/XqPcvr9/b2kpqaSkZG\nhtJohMNhmpub1fuLRCIq4EtWGYRGJNNwmZiK+HVwcFDpKETr0dbWpmwxZcoszdWpHuVy3AEFUAU4\n9vX1qfMmx05eM3pa/FUqmcAXFBRgsVjo7OykoaEBj+d061vJXpBzKlScvLw8HA4HH3/8sTpv0lgN\nDg4q+8QpU6aQnp5OQ0ODopEEAgElWB8aGlKaFOHEi7YkurmNpmwJDUyOa7S+Ibrknv4sEC/b+ywh\nrWw7KyuLwcFB/H4/AIWFhWRmZjJ9+nSVYyDOVSUlJbS2ttLU1ERbWxuRSER5v48aNYoLL7yQPXv2\n0NjYiMVi4etf/zobN27kiSeewOv1kpGRwdy5cxkaGsLj8RAXF4fVasVms9Hc3MzOnTvVKl5aWhoZ\nGRlKQG4wGJgzZw4zZ84kHA6zfv16Dh48iNvtJi0tjVGjRqHT6Xj99dc5evSossa86qqruO2222ho\naODo0aOKIjhp0iS8Xi833ngjH3zwAQMDA+Tl5fHzn/+cxYsX893vfpdbbrlFfd4VFBSwd+9eFixY\nwI9//GNuvPFGmpqa0Gg0zJw5k1dffZWpU6fyu9/9jksuuYSKiooTDYpJx02Xfp2KAT194Wjx8Ymv\nnu4+VpVk/D2X+L9TnVlAPn/elz5t/1wT+ar3zgL5v9ZZIP9P1K69DfzhhV2fmuDqSgjxyJrvsmrV\nKiKRCAcPHiQYDLJx40Y+/PBDZs+ezQ033EB+fj6bN2+mu7ubqqoqfvOb35Cens7KlStZuHAhNTU1\nNDY20tzczFtvvUVnZyfXXHMN48aNo76+nubmZurr69m3bx8XXHABo0ePpqGhgc7OTtxuN4cPH+bw\n4cPodDoKCgoUr7urq0uJCePj4xXHtaamhvb2dkpKSiguLqa9vR2NRqMe2qcu4be0tNDb20t+fr6a\nbHZ0dFBaWgqcsJ7z+XwcOnSIKVOmkJubq4JU4EQaYygUUvaGKSkp+P1+GhoaSE9PV17jPp8Ps9lM\nZmYmHR0dyuFFwGh0oJAAcqGjRFNxhI4jgDd6OhhNpZBjpNPplChQQK3QUhISEgiHw/j9fhwOh6J/\nnOpgE+0GIyVgUt6HwWBQvH55PzLJFIAc7T4TTdeRVQjhf8tKhfDmpWTqLEJh4ZULf7+7uxuj0Qig\nGgqxNOzq6qKurk5xcHNzc9W5AhRot9vt6PV68vPz1TkJBAK0trYSCoUUoJRpbWxsrHJIsdlsuN1u\nBaqjOevSDA0NDeHz+aipqSEYDGIwGEhJSVGWm0KbONVzXK6DaDAf7dkviZ/RKzinJvd+lSo2NpaU\nlBRycnJUdoOs4kjJqo3oKmJjY0lLS1NCZAlBa25uxmQyKR68rHIUFRUxceJE0tLSiImJ4ZlnnmH7\n9u0q2EmsX6ObIDiZ4xAd0CTf/yz62an8+ej38L+BeNF4fNp5khWFSOSEhWpMTAzZ2dkUFRUxfvx4\nJdx2u91MnDiR0aNH097ergT9AwMDKmMgPz9fifYbGxtxOp3MmDGDN998kz/96U90dXWRm5vLggUL\naGtrIxgMDkt0FQtgj8dDOBxmxIgRamVSmuxFixZRWFhIW1sbf/nLX2hqalLDmIyMDNra2vj4449p\nbGxEq9VSWFjILbfcwqJFi6iqqqK2tpaYmBhGjhxJUVERzz//PD/96U9pbGxEr9dz4YUX8rOf/Yym\npibmzJnDli1b1L1x880389JLL1FVVcUll1zCO++8o4YWDz74IHfddRdut5tFixbx7LPP0tfXh16v\nZ+XKlWzYsIGJ+SN4duOHhEy20yg2/eEhpqQmkBpv/BxX979dnVlA/kyZyJ8F8qrOAvl/sLZsq+Hy\n7z7DwOCnczYbq9/m4f+5h4KCAq688kqWLVvGwYMHaW5upqWlheeff56Ojg6uvvpqvv/977N//37l\n8/zaa6+xceNGli9fzrJly8jMzKSyshK3201FRQXvvfceo0ePZtWqVcTExCigf+zYMQwGAwsWLMDv\n9xMMBpX15NGjR2lqaiIpKYmRI0dis9no6upCo9GQmppKYmIi3d3dtLe309LSQm1tLcnJyUydOlWB\noo6ODuVEIZPcYDBIIBCgqamJ1NRUBSb9fj85OTkkJibS0tJCMBikoqKCpKQkpk+frug3YsvW39+P\nx+PBbDaTlZWleL52u52kpCSVHikPKdkXmVqLD76AaAENMokXuoBMXKOn4jL1E7eeaLAhYjChoch0\nOhgMKl61TB6lOZAUVqlot5xokaqA5u7ubkWvke0YDAZ1rIVnLNuA4ZaYAooBLBYLZrOZcDhMe3v7\naVxxvV6v3nN8fLxqBgRQi/uJ7INsv7W1Fa/XC0BxcTHJycmKFmQymejq6lLcWgEuRqMRp9PJ8ePH\nh+kIBMxbrVY6OjrUqoOAuWAwqPQC3d3dital1WppbGykra1NOcvY7XZycnKw2WzqvEgD92mgUUCt\n0IVkkiuBVf39/Uo0+1kT3i+7xIFHgN2uXbtO20/hw8v5BhQPu7+/XznTiMbAarUqS1WAzMxMFToX\nExPDtm3b+P3vf4/b7R5GhYmmH8nxFm1D9OrUZ4H4z+LE/y2nIGnA5GenUmmk2TUYDOTk5NDX16e4\n7y6Xi6lTp5KTk0MwGFQgfsKECeTn59Pd3a1AfHd3N4FAgFAoRG5uLnl5eYTDYRobG0lJSaGgoIC3\n336bV155hf7+fgoKCli4cCFHjx4lFAphsVjIy8vD7/ezZ88ejhw5gs/nw2AwkJubq65TjUZDbm4u\n8+fPJzU1lYMHD7J582Zlg5uXl4fZbObo0aOKWpmQkMCkSZO4++67yc7Opra2lsbGRux2O/n5+QD8\n8Ic/VNkjWVlZ3HbbbVx++eXccsst3HbbbWpIk5WVxQcffMCyZcu46667uPPOO1WDs2DBAtatW0dJ\nSQk333wz119/PS0tLQAUFRXxxhtvcPnll/P+++8zffp0mnx+4sedc9o5C0fg1So345OtZFr+v0t8\nPbOAfP7cv8s95ktzrTkL5FWdBfL/YF35f57F6wt96s/0kSo6Wt6nu7ubF198kfXr13P55ZezatUq\nRo4cyZ49e/D7/ZSXl7Nu3Try8/O59dZbmTFjBhs3blShT48//jiRSIRVq1Yxb948QqGQCmUSjuXF\nF19MaWkpwWBwGKdz4sSJ2O12/H4/oVAIr9dLXV0dVVVV9Pb2KrqNgKSkpCQSE08k8bW3txMIBKir\nqyMcDlNWVkZqair9/f10dHQo9xCTyaSiz+UBODR0IhTIaDSqh2lhYaEK8JGkxNmzZ9Pb26umXkJ/\naW9vVxNdsc6LjY0lPz9fpZgODg6Sm5tLKBRS9BEBI9FWkAKsxcVEbPAE5MlSdrQNZPRyv2ynt7dX\nJYCKvaVYZ0oAj9A5pOmJFttFi2rF3lH48+LaIgASUAmmIsSUibxM3aUEgEcDKr1erxyLvF7vMJAk\n03ihJSUnJyu7R6ENiWAw+vetVitHjhyhp6cHrVZLdna2Om6ysmAwGPD7/Qogiy5DbCnr6+uVmLar\nqwuTyaQaiWAwyODgoALo4iAjFBDxlW9ubiYQCCjwb7FYyMrKwmazKc2ENFWf5rsfDTTlHMhxjZ7q\nilj6VDD6VahokOrxeBSoOvV3pNGW9yTnbcSIERw/flwdHwHF8fHxCvDrdDoWL17M5MmTVUN97733\n0tzcrK656HtLSu4juT9OrVOb23+EsiQUP7mfPs2TXppI0Q4EAgHC4bAC8WlpacqCNRQKUVxcTG5u\nLv39/cqdRgwCenp6yMzMxG63Ex8fj9vtVgL9TZs28eabb6LRaBgzZgznn3++SuC22WwUFBRQV1fH\nzp07VVaC0+kkLS1NrcIBTJw4kQkTJmCz2fjggw8UWJc03b6+Pqqqqqirq6Ozs5P09HTOO+88br/9\ndjQaDY2NjXR0dJCRkUFWVhZbtmzhwQcfpKqqCo1Gw5w5c/jhD39IIBDgoosuYvPmzQwODqLX61mx\nYgVvvfUWbW1tXHrppWzatIlwOExaWhqPPfYYN9xwA1u2bGHRokV8+OGHhMNhLBYL9913H7/+9a8x\nGAzMnDmTNWvWnHDcqj9GQlomMWkjTjt3Q8BBbxffLEr7u875v0GdeUD+DKizQP5knQXy/0BFIhF+\nuOYdwuGT3E+pWeeM5MM3f8DIkSP54IMPFFhdu3YtVVVV3HLLLVx11VW43W4qKyvp6Ojg1VdfZd++\nfVx55ZXccsst1NfXc/ToUXp6evjwww9Zv349c+fOZdmyZeTm5tLS0kJTUxNNTU188sknxMXFcfHF\nF2O32/F4PGqiZLVa1QNKHmgtLS3U19dTX19PXFwc+fn5uFwuBSRTUlLQarWKAytODpmZmUyYMAE4\nkcgqXObY2FhSU1MVrzwQCNDc3IzNZlO0FHHREYeb1tZWPB4PU6ZMUbQeWaaVZiEcDlNcXKy49sFg\nkIKCAhWJPjAwQHp6OgMDA3R2dirhqMViUQBcBJTAMN/56JCocDisePbRbjDRTjYC7sRdRiadkoI7\nNDSkvNuFLiLT6ehrJpoaIxPK6K8CMDUajaKhCJAUJw7hyMs1F/1vAdGJiYmEw2Ha2tqGAR3hiUvj\nlJGRgcViOc0+02q1DrPaBKisrFR2hSNGjFDiadE5iOMLnABTElQl10tra+uwCXFPTw82m42EhAQA\nFfDU2dlJT08PBoMBq9WqKDXNzc0qtEvoXSUlJeTk5JCeno7ValUUKDl/cjyjGyk5TgLiRSQarTeI\ntvv8W04pX0ZJ4yfUllNLPPxNJpOiCMXGxmKz2VRzLA2ew+FQK0oDAwPYbDa0Wi2lpaXMnj0bu93O\n+++/z49//GOVfivBWnI9y3Uj91y0HuWzaDGnil1h+GfoZ5XQaT7rvMi9ZTabSUtLU85SAwMDJCUl\nMXr0aAoKChgYGMDv9ys71lGjRtHf34/P51PNpOg4XC6X8oEPhUJkZGQQCoXYunUrW7ZswWAwMHHi\nRCZPnqxAfHJyMiNGjODQoUNs27aNhoYGIpEI6enp2O124KTGYfLkyeTm5hITE8PGjRvxer1KQJ6Q\nkIDP56OpqYn6+noikQi5ubksWbKEVatW0dXVpbj1MpT59a9/zYYNG/D7/aSkpPDtb3+bFStW8MAD\nD3DfffepFZeUlBSee+45rr32Wn784x9zxx134PF40Ol0LF26lFdeeYXk5GSWL1/OmjVr6OzsJCYm\nhjlz5vDee+8xbdo0br31VpYtW0ZDQwNwwtnqJz/5CX+873b2uoM0dA4XOQN0D4S5elzm5zrf/0Z1\nFsh/AXUWyJ+ss0D+76ye3gGuveVFjhwbHv4kH0zVFRvp7DjCDTfcwC233MLx48c5cuQIAwMDHDhw\ngEceeYSUlBRuvvlm5s+fz+7du/F4PNTW1vLcc8+h0+m46667WLBgAZs2bcLv9+PxeHjuuedoaWnh\n8ssvZ9asWRgMBkXTqampoaKigrFjxzJ16lTgBPARKkRSUhIGg4GBgQG6uroU2K6traW9vR2n00lu\nbi4WiwU4EVMeFxdHb28v7e3thEIhmpub0ev1lJaWqiCkUCikQLXL5cJmsxEMBunt7aWpqUlNYFNT\nUxkaGiInJ4ehoSG8Xq96YOXl5ZGenq6WsIWj3NHRQWdnJ5MnT6anp4eOjg7a29vJyMhQwtJIJKIS\nSCWFM3qyDSf9qQU8RFNvRNwZDoeJi4tTNJ1TJ7gCfoU3LmFFWq1WOQFFc/MFQEVPc+X1BXxFrwQI\nABIgIiJQeT8CXGR7p4J/AfDyfoWv39LSMgzsCGVE3mdaWhoOhwOv16veg6wAyKQ9JiZG2TwCCoyI\nJ7vsmzQHkpgqlKna2lp17RiNRjUpjqb0SIM0ODioXGfEDlMCweT4iQBTVonEyi8tLY2CggJmzZpF\nRkaG2s+srCycTucw7YDQeEQzIcdEr9cDJ5u+U0PIvgr1WTSU2NhYDAYDRqNRrSzJ8TMajdhsNqxW\nq3L8MRqN5OTk0NXVhc/nw2KxkJOTo4KRMjMz+e1vf8vjjz/O8ePHFY1KGh5ZdZL9keN1asbDqfVZ\notb/reTe+CzKlByD+Ph4BbqF4uZ0OsnMzGTy5MlqQGG1WnG5XIwbN04FqrW2tuLz+VRzbLFYlCBV\nq9WSkpJCQ0MDO3bsYO/evSpLoaCggCNHjtDb20tOTg4ul4vt27ezdetWvF4vJpOJzMxMdV/IilVp\naSnp6el4PB527NihUpMlnKujo0OtupjNZvLz81m1ahXnnXcegUCAxsZGEhIScDqdlJeX89vf/pYj\nR44QDoeZPHkyN954IwMDA3z3u99VQyW9Xs/XvvY13n77bQYGBli5ciXvvvsug4ODpKSksHbtWq6/\n/nqeeOIJli9fztGjR4lEIqSmpvKHP/yBW2+9la1btzJ9+nTee+89NSw5//zzOXDgAFOnTmXx4sW8\nt/8IcfljTjuP4UiEY/5uZmc60EaZE/yb15kD5OPsqdaCM0Xs+j7hnrNAHkDzLxRyffUUYV9A3X7f\nazzz512f8hMNkaFuAg1PEQmHSE5O5pe//CVLlizB7XazYMECFdih0WjIz8/npZdeorCwkN/97nes\nXbtWWQCOHj2aBx54gNGjR3PnnXfy+OOPK65wVlYW9913H+effz47d+5kw4YNbN++nZ6eHpxOJwUF\nBZxzzjl4vV62bt2qYsRFxObz+RQ3MiEhgYyMDEpLS5kxYwZTp05VKZ6NjY0cPnyYvXv3UlFRwdDQ\nkOKvFxUV0d3dzdNPP01tbS19fX1YLBYyMzNJSEigqalJJXwmJSUxbtw4CgsLMRgMdHR0cPToUbZu\n3UpnZycWi4VJkybhdDo5evSoEoIJGHY4HJx33nk0NTUpD2OXy6UCbwRYd3R0qEk+nADKMl0V8CYA\nWB4+p4pH4+LilFvJqWJJnU5HfHw8LpdLTUVNJhPt7e1KFGu1WhkaGiIYDCpNgQB3mcJH2/NJuqSI\nEhMSEujt7cXpdA4L8xJLRAFOQi2IiYnBZDIpcCDvIzMzk3A4TEVFxbDXl+0LRaiwsFA5BQWDQdX0\nCKC1WCzY7Xa2bt2qwHRmZibJyckkJSVhs9kwGAzq/QuFSa/XU1BQQCQSobKykkAgQEJCAtnZ2crZ\nKCkpSbluRCIR1aBJDkFPTw/x8fHExcURHx+vUmz7+vpU0zUwMKASRIXXn5SURE5ODn6/n8bGRiXc\n7OzsVJPYiooKdW6imyuh1EhJUyUrL9JUfZVKNCly/OW/U21KxZFGROsul4vk5GRqa2uJRE5YMY4Z\nM0aB1/Lycnbu3EljY6NaZZJpvKxmyLNDrjsBwDLh/7SJ+T/6vImm4pw6yZd7Ky4ujqSkJILBIH19\nfeh0OuLi4khNTWXatGnqupKwsuLiYtra2tDpdMpNSxKWAVpbW8nMzCQ7OxuTyURFRQX79u2jsbGR\n+Ph4Jk6ciMvlorGxkZ6eHgoKChgaGmLbtm3q3nM4HKSnpytRcHx8PKmpqYwaNQqLxUJdXZ0S/3s8\nHlJSUvD5fITDYdxuN52dndjtdgoLC/nmN79JZmamshlOTU3F5/PxzjvvUF5eTjAYxOl0smTJEqZP\nn86jjz7Khg0b1HPF5XJx55138q1vfYuHHnqIp59+Wt07c+fOZe3atXi9XlatWsXevScslQ0GAytX\nrmTNmjX09vYyb948ZVMJJ7QUr7/+OkVFRaxdu5Ybb7zxhL2uzcGIex9Ha3N+yrmE5YWp3DMt/x+6\nFs7AOiOWHzQazW69Y0RpxsL/+2XvyueqxjfuoL/9+J5IJDLxy96XL7vOAvm/syactwa3t+u076en\n2vjFD+dy4/e/zeHDh9UH3ejRo3n++efJy8vjL3/5C9dcc42alOt0Oi644AL++Mc/MjAwwE033cTm\nzZtVQM2FF17I7bffTmNjI1deeaWathiNRubNm8ddd92F2Wxm48aNfPDBB1RWVqpExqKiInJycqip\nqWHPnj10dXUpGoRM0gWAOxwO8vPzKSsrY+rUqRQVFWEymWhqamL//v3s27ePgwcP0t7ertxFSkpK\nMBgMvPjii+zfv1/RIbKyskhJSVE0GqFj5OfnM2XKFPWgra6uZvPmzerhWVxczIgRI5RwV9xONJoT\ncfKy0nDs2DF6enoUJSMQCADQ2dmpfKAFoAkNRSwJ4aT1ZPT0PdoBI9pJRqaaAlJ0Oh0WiwWLxaJ4\n4ZJMK+I2EayK/7oIVuGkJ7yA+bi4OOVJr9FosNlsivMu3uzyngSIRk8mBWjKNFx0CRkZGcoeNJru\n4nQ6VWMgNCqXy4XP51NNhkxwBbzpdDoOHTqE+I6L40lGRgajR49Wji8Oh0M55chxTUlJUQJquS5m\nzpyp+MYDAwO8/PLLtLS0YDQalgdnkQAAIABJREFUmTlzJqFQSAXiiP5g7Nix5OTkcOTIEfbu3auo\nWBqNho6ODuLj49VKkJy3aL2BaClCoRBOp5Pi4mIF9GXy2dzcjMfjUZSN/v5+tcKQkJCATqdT947Q\nqb5sIaxGo1FNldvtVlaPklkg13h8fDzJycnqnhAPf2lYnU4n06ZNQ6vVsnfvXurq6mhvb6etrU0l\nK4sIWhoFucfEIhRQKzSnutXIvn7Ws+bzAPxP+x1pHES4bbVaVaMoIuykpCQKCgqUmNtisSj/+La2\nNuLj42lqalL3gOiEjh49SlJSEpMnT6avr4/9+/dz4MABNc2fOHEiZrNZHfeCggLcbjdbt26lubkZ\nOBE+lZycrPQziYmJZGRkqLC5uro6Wltb1TZkMBATE0NLS4vi9Y8fP56LLrpIDVmEp75z504++ugj\nGhsbGRoaori4mIsuukhROaurq5XNa2lpKY8++ii9vb3cddddHD58mKGhIRITE7n33ntZsmQJP/vZ\nz1i7dq0650VFRfzxj38kNzeXO+64g4cfflhpH8xmM3fddRc333wzVVVVlJWVKQcrONEA/Oa5l3im\n30VL6KReQhg1LpOeDy6b+jfP+b9RnVlAftFPvuxd+VzV+Pp/nwXyf62z1Jq/o47X+3js6Y8ZDIeR\nvkXz13tUM1jPT35wFVdffTVjx45ly5YthEIhPB4Pjz/+ODt37uTWW2/l9ttvx+fzceDAAfr7+6ms\nrORXv/oVMTEx/OxnP2PMmDHs3r2bQCDAgQMHeO211ygoKOD+++8H4NChQ3R3d1NZWckbb7yB2Wzm\n61//Ojk5OepBIMEibrebpKQkCgsLiYmJobm5WVFChEogk8ZQKKTSVwOBAHq9nqysLLKzs4eF9rS2\nthIOh/F6vej1eqZPn66Cm2SCPDAwoCwBZdter1elG8pU1+l0EgwGFWjo6+sjIyODuLg4FUQloLi1\ntRWLxaL4+B0dHYreASe5w7J8LIAl2rFGgJfQAKIdagTkCLVEQPyp7hkCoIeGhhR1yGw2K761RMSL\nQPNUEa2AnlOFetHAXOgmAigFOAn9RSp6NUFAvghAxf4uemoq+ymrD0K3kum/NBQmk0kB1fr6egYG\nBjCbzUyYMEG5bgiHPTk5mVGjRmE2mykqKkKj0ajX7ejoIDExkYkTJyoBdFdXF/Hx8djtdtUQtra2\nUl9fz0cffYTP58PhcJCWdkIQl5SUpFYvRBPR39+Pw+FQotlIJEJycjL5+flYrVYAZVsZExNDSkoK\nqampSiMQDoeZPn06Y8aMoa+vD5fLRX5+Pnq9nq6uLnXMZBVEjpler1duPtF0Fjmf/8KhyOcqp9NJ\ncnKyaj6F/iUrI3Iti+ZBOPByzkUYnZOTQ3t7O9u3b+fw4cN0dnaqvAm5LuU6FrqXNMCS0yCgWihS\nX3QJxScmJgar1YrBYFAA1Gg0kpSUhMViUV+FPjRx4kScTqcaILS2tqok5czMTIxGI+Xl5VitVmbN\nmkUoFGL37t3s3r1bTdhLS0vR6/X4fD6GhobIzs5m//79bNu2DY/Ho1akEhISVNOXnp5OXl6eEuAe\nP36cxsZGpSMR7Y9Go1H5HRkZGZx77rksXryYhIQE3G43JpOJjo4O3nzzTbZt26Y+FxcuXMi5557L\niy++yO9//3uampoIh8MkJiayevVqfvrTn/Lyyy/zgx/8gPr6erRaLbNmzeKFF15gaGiISy65hFdf\nfVU1+f/1X//FU089xbFjx5g6dSrvvPOO0hXNnj2bAwcOMH36dIqLi7nnnnuUVa5Go+G73/0u27dv\nZ3xRAT9/5gUirnTFiJAajERYOMKFzaD7wq+Vr0CdOdQa01+pNWdABY+9d5Za89c6C+Q/Z1VWu/n6\nN39Ld8/pLhYaNLjr3+f/3v9f1NTUcMstt/Cf//mfDA4OUl5erlwH1q5dS3t7O2vWrOGaa65hy5Yt\ntLS00NfXx+bNm3n66aeZPXs2999/P36/n6qqKjo6OnjvvffYv38/3/ve91ixYgXl5eX4fD4CgQBb\nt25l3759TJw4kalTpyqRaUtLC+3t7cqCUpaIg8GgmmiL/Vq004fH41HBUn6/X7kvZGdnq4d/W1sb\noVBIBSXNmDFD2bjJxDIUCpGQkIDD4VDOL+KsEwqFyMzMJD09XdEtOjo6FPi02+3Y7fZhgtSuri7a\n29vR6XQkJiZiMBgIBALKhUZAlYgwhZN9ahCUAHvhlUeLYAWICeAWLrD8W4C/uLWIA4zBYCA+Pv60\nECGZxInLRzTYO5WDL/sotBadTofT6VT+5sLjllUGeR3h08v7iImJYfz48TQ2NiodgWxX3oMAsLi4\nOIxGowIy0cdJLEHFFWXChAkkJibS29urVmUSEhJITEwkEolQUlKiJugul0vxsGNiYpR1Znd3N62t\nrdTV1dHW1qbcNqxWK8eOHVNi14KCAjIyMigpKVF+5F6vl+7ubpKSktR5ycvLY3BwkI6ODkV/yc3N\npbS0lOzsbDVJj4mJITU1leLiYlpbW9W91dvbS0ZGhhJqOxwOUlJSMJvNynklmrNvMpnQ6/VYLJZh\nAF6Or4RawRfLqZfVCmnGnE4nvb296pxFT8QlgEtsSSW4zWAwkJycjNFopKWlRaU7C0iXyXr0+5Br\nUEq492KPGh2s9b/VPyN2lHMqegxxHJJGVnzvXS4XRqMRn8+H0+lUIL6trQ2NRoPP5zvhtNLXR0FB\nATqdjq1bt2IymZg1axbd3d1s27aN3bt3ExcXh8PhoLi4WGl0ZMVq27ZtHDt2jK6uLmw2G0VFRWqo\nIHa5BQUFOBwOgsEgR48epbW1VWlCJJBKq9Xi9/sxmUykp6czb948zjvvPOLi4pSb19atW9m0aROV\nlZX09vaSl5fH0qVLCQaD/Pa3v2X79u10dnai0+koKiriRz/6EWVlZdxxxx289tpr9PX1kZiYyB13\n3MFNN93E/fffzx133KGOSWlpKa+//jrz589n0aJF3HPPPSosKj09nU2bNnHzzTdz9dVXs2TJkmEB\nZGPHjqW1tZXFixezcuVKli9fTs8QWEvPPe0chiMRXqt2MzvLgcOo/4evhTOkziwgP2rel24t+bns\nJyvPAnmps0D+c9a1t77IsZrTUxMBLLo6vI0nhD/79u3j5z//OTExMdx5553ccMMNHDx4kOPHj9PX\n18f27dv53e9+R1ZWFv/zP//DlClT2Lx5s7JWfOWVV3j33Xe54YYbWLFiBQcOHFBi2DfeeIO4uDju\nvvtuZQnY1dVFfX09mzdvJhKJMG3aNDVFD4dPJGqKaHVwcJARI0YoRxFxGhGagnzt7+/H7XYrcN3V\n1UVqaiqTJk1S0+7e3l6am5sZGBjA5/NRUlJCcnIyHo+Hzs5ORQfRaDSkpKSoibkEVdXX15OcnExa\nWhpFRUX09fURCATw+XwqQlxsCAVMh0Ih/H6/cnwQi0ZA8d7Fgaarq4vY2FgcDoeaagvlQCbkAnzl\n3zA8Jl6m3VLSVAjQEUAtE36DwaBi6qMdUkTMGu2McipAkn2QZiM2NpbExESVbNrZ2TmM4hO9jVMn\n/mKTJ97ogBJBSmMhjjDR2xEffmkmJAgnNjaWRYsW0d/fT2xsLMnJyWRmZjJ27FjsdrtyRhJfd41G\ng9PpxGg0qmZPxJFGo5HY2Fh8Pp+a2ns8HjIyMtDr9eTk5NDb26uclPR6vVo9kWZQ7DntdjvZ2dmY\nzWaCwSB+v5/m5mYVTCVTURFK9/b2UlZWptKEfT6fcijRaDTq+hsaGiItLY2EhAS1WiHAVpoyaYKi\nRbPi6hIfHz9s+v2vnNTLKpSA2cTERBUsJBQv0ZdEu7jYbDblXiVN79DQiXCtxsZGZR0KJ4ByKBQa\n5ooj94dcY0ajEZfLRUJCgmqyPs1F519dsmIVGxurrGDlmk5MTFTg3eFwDNNjlJSUMHLkSKqqqhgc\nHCQUCqnVwjFjTogyt23bhlarZdKkScTExPDBBx9w4MABtfIxcuRIAEUvaW1tZd++fYrukpSURHp6\nulrNEN9+We3xeDwcOHBA2bjKqimcuD9DoZCivM2dO5dzzjlHpS673W42bNjAgQMHlAPUtGnTGDt2\nLO+88w4bNmygoaFBrRp87Wtf4wc/+AH79+/nJz/5CTU1Neh0OsrKynjyyScJBoNceeWVyorSZrNx\n991388gjj/Dkk0+yaNEiJXQ1GAzceeedrFu3jo8//pgJEyawY8cOdU5sNhtHjhzhv//7v/nFL37B\n3Llz2bNnz4l7vqEKe0o6MRkjTzuX/UMR6oI9LBmZ/EVfNl92nVlA/kyZyJ8F8qrOAvnPWWvWbiTY\nebo3cklhMjve/wkXX3wxb731lnogvv/++zz66KMUFBRw7733snz5cj766CO8Xi9dXV1s2LCBF198\nkYsvvpgHH3yQwcFBZV/W1NTE888/T1tbG/fffz8ZGRkcOXKEQCDAzp072bFjB0uXLuWb3/wmx48f\nV6Ko8vJyjhw5QlZWFiUlJSQkJGC1WtU0e3BwELfbjVarJTc3V1FsjEaj8vIWUKnVapWjhd/vp6Wl\nhYGBAcaOHUthYaHiELe2tioQlZqayogRIxTgFlqCCHHj4+MVV7Wzs5PKykq0Wi2pqamUlpZiMBjU\n8ZEJkdlsVuLG2NhYZaMpDhXRE1DZ9/j4eDWhDYfDio4jlIJogZwAc5nyCtgXYBYN7IHT/gZOghzZ\nT+Fpy2sCanoeHegUDfCiX0OA+dDQEC6XC2CY376AsOjXFoAlYlifzzfMflCST4VuIZNl8VAXXny0\niLS1tRU4MYmbMWOGSvCdNGkSo0aNUumY4nak0+nwer1otVqsVqt673a7ne7ubqxWK2azGb1eT2Zm\nptIHyN/Onj1bvZ+Ojg5sNpuiDUkDI+e4pqaGUCik6Ao2m42YmBg6OzsVVUd0IcXFxeq4Dg4OUlRU\nREJCgmp+BBzL/SJe5QUFBcoPX1YtZFVEViSKiopwOp3qXAhwF9rKyJEjyc7OJj09HUCtrvwjJYFe\nwkuPi4sjOzubpKQkdY9K9oA0v0ajUTX10WC7v79fiSaHhoYUDSk2NlZpDaKpZ3K9SROdmpqKzWaj\nsbFRfXZ8kSXnRETd0hBKs5eZmamaO5nC6/V6HA4HEyZMYNy4cezcuZNIJKLoU11dXYwfP57+/n72\n7t3LwMAABQUF2Gw23n77bY4dO6aGDeI9L83nsWPHqK2tpaurS2lGTCaTWg1xuVxMmDCBrKwsBgYG\nqKqq4ujRo+qab2pqUveK3W5XGqOkpCTmz5/P5MmTiY2NJRgM8tFHH/HBBx9QX19PX18fWVlZzJgx\nA7/fz/r169m3bx+BQEB9rq9evZqvfe1rPProo/zlL3+hu7ubxMRErr32Wq655hruv/9+HnroIbxe\nLzqdjqlTp7Ju3TpSUlKYPXs2L7zwgvoMKysrY//+/UyYMIHc3FyefPJJdf1qtVp++ctf8sorr3Dg\nwAEmTpzI+vXr1bXgcDjYsGEDv7h+Ne8fb8PbNzjsfMKJz62Vo9O/0GvnK1BnDpCPs6daC+d/6Y40\nn+e/YOXGs0D+r3VW7Po56pk/7+T2+1/l0w5Vf+dhJhZ28corr2A2m3n55Ze59tpr8fl86ndGjBjB\na6+9RmFhIa+//jrf//73aWlpUSBr2rRpypZyxYoVbN68WS1xJyYmcuWVV7J06VJ+97vfsXXrVpXK\nuGDBApYvX87GjRt56qmn8Hg8yh968eLFzJgxA51OR01NDU1NTRw9elRRSkQoZ7FYaGhooK2tTVlK\nyrK7iBJFKJmenk5WVhZjx44lLS2NgwcPUl5ezsGDB/F6vcTFxeFyuYiJiaGiooKKigp6e3sxGAyY\nzWZcLhd2u11N5aWJyMvLY9asWeTm5tLc3MyLL75IY2Mj3d3d2Gw2XC4XcXFxSmzo9/vR6/UkJSWR\nkpKiQIcAdwHkTU1NhEIhZYHZ1dWFx+NR3F/hOctEFVBTeqHOyP9H/1tAdmxsrHI5EdCg1Wrxer3q\nNaLTZoVPLJaK0UBbgJLwsOPj43E4HAowfvLJJ8odRhx5oifB8n7EnUYs9WSbVquVnp4exaOWECVJ\nTJV0yN7eXtUIhEIhtFot3/ve9xStZMSIEVitVgoLCykoKFAUk+7ubuUS093djc/nU/qFyspKNTkd\nGBjAZDIpLndsbKwKyZH9kUmgy+WipKRE6S7gZOBPW1sbHo8Hg8FAaWmpcvqpqqqioqKCxsZGvF4v\nFouF7OxsMjMzFYVMwF5dXR2BQEDRVGQFprKyUjmAuFwuWltb2bt3L7t371Z5B6mpqTidThISEhg1\nahRWq5V9+/ZRUVGhVhvEichqteJ0OtFqtdTW1lJXV6fC0/6eEsGpUJbMZjN2u52SkhKVPdHV1TXs\nvNtstmF2pqJTkIZOqHVCGQMUDUqaZzlPQh+Sa0fu4y86NEs0LtLMASpjwWQykZOTo4TocXFxSiyf\nkZHB3Llzyc7OZteuXQwNDdHe3q5EsSUlJYRCIWpqavB4PKSnp5OSksLmzZtpbm4mOTmZnJwcFfgW\niUSoq6ujublZaXREZCufQTExMeTl5VFQUEBqair19fWKdiPUNKFMWiwWXC6X2pbT6eSCCy5g7Nix\naLVa9u/fz9atW1XDYLPZyM3NJTExke3bt1NZWYnX62VwcBCr1UppaSmXX365Sg6X+6O4uJi77rqL\nvXv38sgjj9DU1ARAYmIit956KytXruQ73/kOL7/8sjqXCQkJPPbYY3zjG9/gggsu4N133x12TpYu\nXcr69evx+/1MmjSJ6upq9TOj0ch9993HLbfcwtDQEGVlZbRNWkjCtPNPO7ca4O5peVw6KvULunq+\nEnXmiF2dI0ozFj/wZe/K56rG126n3/fPiV01Gs1PgUlAAZAI9AB1wHpgbSQS8X3K35wD3AVMBUzA\nMeBJ4JFIJPKpUxqNRrMKuA4YDYSBcuDBSCSy4R/d92HbPwvk/3a9ufEwq//zuU/9WWRoEH/9Hwj3\nn7BBXLRoEc899xyxsbH86Ec/Uml3cGICMWnSJN566y1sNhv33Xcfjz76qKJMmEwmFi5cyH333UdD\nQwPXXXcd1dXV6mGal5fH6tWrsdvtPP3000rMlJaWxlVXXYXL5eJXv/oVe/bsUUu3JSUlLFy4kJyc\nHEKhEE1NTco/XiZvRqORtLQ0TCYTlZWVVFdX4/f7laNBVlaWsv/TarUkJycrgVxBQQH9/f0cOXKE\ngwcPUl1djUajUdMyeS3h4otLS0pKCgBer5dgMKimUmVlZUycOBGbzcaLL77IwYMHVXqqWCH29/er\niT6csFSTkBaZ9guXd2hoSFGDJIVWp9MpgC/TeZmSy0NMpu0ijoymypxq7ScgQ4Cb3W5nYGCAYDCo\nHv7RPvNCfRkcHFQ2ldH8fHldoQU5HA5MJhPHjx9X4FgoMVqtVllSRgt25fsyPXY4HIo6IkBfpvLi\nux8XF6em8ykpKXz00UcMDg7icDj4+te/rlxrRo0axbnnnktOTs6n8pxDoZDioQu3fWBgQOk1+vv7\nMRqNivrjdDrJy8tj7Nix6prs7u5W4sKsrCzOP/98JbQWWkM4HKayslIJpOXc2u12YmNjqa2tpaKi\ngoaGBtxutxLXms1mEhMTSUlJYXBwUFFxpLkFFO1BVpIGBgaoqKigqamJI0eOEAwGMZvNpKSk4HQ6\nVfCZ0+mkvb2d6upqtYIlTaHQrlpbW5XA8e8taYijBdQ2m40pU6bQ3t6u3KmEIiegX65xsUCUCbv4\nzktoklxX0vBJyRTeYDColQARvEug1hdVwvGXzw85pkNDQxiNRnJzc4mPj1eNX1NTE+3t7eTm5rJ4\n8WLi4+Opra1VTUdiYiJDQ0OMGDGCvr4+mpubaWhoICEhgaSkJLZv347P5yMxMZHCwkLi4+NVYFpd\nXZ2iDtpsNtXcisA3Pj6ecePGMXLkSOLi4igvL1f5C1lZWdTX11NTU0MgECAtLU1dL+FwmJSUFBYt\nWsTo0aPp7u7m3Xff5fDhw7S1tRETE0NycrISsR88eJDGxkb1mZeRkcGsWbM455xzeOutt9i2bRvh\ncJiEhASWL1/OjBkzeOSRR/j444/VZ/4555zDww8/zHvvvcdtt92mmk+dTsc3vvENnnrqKR566CHu\nvPPOYastmZmZyh1t3rx5bN68WTWksbGxXHLJJTz//PMALFq0iLfffvuEi1BGLrl3P0aM3vCp5/mh\n2UXMy078Qq+lL7HOLCC/9Kdf9q58rmr8y23/CiDfD+wBDgNuwMwJgD4JaAamRiKRhqjfXwq8DPQC\nLwDtwGJgFPBSJBJZ9imv8SDwX0Aj8BKgBy4DHMD1kUhk7T+6/+o1zgL5v13/ccOzvPV+xWnfjzPp\n+MOvLue+e67nww8/HCYuu+KKK3j00UcBuOKKK3jllVcUSNRqtSxZsoRnnnmGcDjMNddcw4YNG9QU\nzW63c9lll3HTTTfxzDPP8PDDD+P3+5XYbtKkSSxdupSamho2b96suODTp0/n4osv5uOPP+all15S\nvE273c6cOXMYN24cCQkJikdbU1OjpjnCOZaHyM6dO2lpaVGWaLm5ubhcLkWNkYm9xWIhPz8fi8WC\n2+2mra2N3bt3EwqFFOdeeMcSHCWe12Lj2N/fj8fjUW4J2dnZlJaWMn78eLZu3crWrVsVxcNoNCqB\nnwhkheZQUFCgKDcy7Ra3EZkux8XFYbVaVTBOW1vbsJClaKADJ4G6TL+jvy//CXAWMC5+82LzKM4z\n0VN+mWyKpzecFE3KfkhzJ64bbrcbj8czzO5PAo4k8TXaZzvaHrCwsFCl9Gq1WgXsBVQnJydjMpmI\njY1l/PjxuN1uXn75ZeXuIhST/Px8xccWz2673T7MSUeqt7eXtrY2fD4fPT09uN1ulXApqy0y5ZXt\nFBYWYrfbiUQi+P1+du/eTWdnJ1arlfPPP5/c3FzlrtTb26uu4/7+frKzs4eJUOU6qauro6amRoWf\nSWOcnJzM2LFjld+/wWAgISEBv99Pd3c3DQ0N6HQ68vLy0Gq11NTUUF5ejsfjUXQyo9GoXIv0er36\nKu9XgK44yvyzAlhpCMQhJnrVwuPxUFFRMYzmIsFe0qCcqvkQjr9cn4Ci5sjvy3uUfTebzUQiEZXA\n+0VRakSQLfeY0NakOZXPipSUFLV6IiFJqampXHrppZjNZlpbW2ltbcXr9eJ0OjGZTCQnJ6vmsqGh\nQa1uyEqM0LEMBoMSpYpFZV9fn0q/FmekSOREYNLYsWPJy8vD5/Nx6NAhAoEA8fHxZGdns2fPHiX0\nLykpwWg00t7eTk9PD9nZ2SxevJj8/HwOHTrEhx9+SH19PYFAAJfLpfQmhw8fpqGhAa/XSzh8InCt\noKCA8847D7PZzLp162hpaUGv15OXl8f3vvc9Dh48yAsvvEBTU5Nq0m+66SamTZvG6tWrKS8vV+5c\n2dnZPPvss8TGxjJ//vxhDafBYGDdunUsWLCA66+/nscee2xYsye8ea1Wy7XXXsvjjz8+7OcjR47k\niTfe4+YdjfQMnn4fzM1y8ss5o7+Qa+krUGeB/BdQ/yIgb4xEIqdFEGs0mh8DdwC/jkQi1/71e1ag\nCrAB0yORyC7ZBvA+MA24PBKJPB+1nXOAj4FqoCwSiXT89fs5wG5ONA6FkUik9h99D3AWyP/NikQi\nzLtoLYcrW5F7UR6K+thutmz4TzIzM3G73Vx44YWUl5erh2B8fDzXXnstP/rRjwiFQixYsIBPPvlE\nPRDj4uJYvXo1P/nJT6irq+O6665TS/cxMTGkpaXxrW99i0svvZQ77riD999/Xz1kHQ4Hs2fPJj8/\nn127dlFbW8vg4CB2u53ly5eTlJTE008/zcGDB+np6VGAZM6cOaSmpqLRaBSHvaamhmAwqCznUlNT\nKSws5MCBAwoYyHQ4Ly8Pq9WqPKgdDocS9kk668DAALW1tVRXVysQLR7e/f39inspIsb4+HgFaoX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sW89dZb9PT0sHTpUkpKSvT1mUwmrrrqKp566ikCgQALFizg4MGDYcc7NzeXwsJCRk2RLPnt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dZ3FxUcrtbMykjKShoQEtLS3w+XzI5/OYmprC1NRUhZZe2XTGkq9erxcQTlDO5ju+ttLS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E0x9a48LhMNP8aO0Ti8XswX7hwgUcOHAAarUawWCQG3qPx8PoOq3Nwk0DURStViu0Wi0LQePx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\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bwBOACXgU+Ov3PGYp8CIQBzwHvAwMAt4xGAzX/dNHwAkg/7MrODDze782fkI/pp89mpyc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\nH374gZKSE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y+zbds2mR0/bdo0tFotH374IT///DPhcNvo9zvuuEP+/5prriEvL48lS5bg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7O1vu3WQyicVHnQ8Ci5K4uDhZQB09epSsrCz8fj9VVVVkZ2fLAuz48eONiP3+/fvFR//9998z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\nAKm2g3/84x+B1Kx5Xl6eCe4SxqWUprKy0pSnQGoRbeZ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"text/plain": [ "<matplotlib.figure.Figure at 0x11d93f4a8>" ] }, "metadata": { "image/png": { "height": 309, "width": 377 } }, "output_type": "display_data" } ], "source": [ "c = CircosPlot(G, node_order='order', node_color='order')\n", "c.draw()\n", "plt.savefig('images/sociopatterns.png', dpi=300)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "What can you deduce about the structure of the network, based on this visualization?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Nodes are sorted by ID. Nodes are more connected to proximal rather than distal nodes. The data are based on people streaming through an enclosed space, so it makes sense that people are mostly connected to others proximal in order, but occasionally some oddballs stick around." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Paths in a Network\n", "\n", "Graph traversal is akin to walking along the graph, node by node, restricted by the edges that connect the nodes. Graph traversal is particularly useful for understanding the local structure (e.g. connectivity, retrieving the exact relationships) of certain portions of the graph and for finding paths that connect two nodes in the network. \n", "\n", "Using the synthetic social network, we will figure out how to answer the following questions:\n", "\n", "1. How long will it take for a message to spread through this group of friends? (making some assumptions, of course)\n", "2. How do we find the shortest path to get from individual A to individual B?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Shortest Path\n", "\n", "Let's say we wanted to find the shortest path between two nodes. How would we approach this? One approach is what one would call a **breadth-first search** (http://en.wikipedia.org/wiki/Breadth-first_search). While not necessarily the fastest, it is the easiest to conceptualize. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The approach is essentially as such:\n", "\n", "1. Begin with a queue of the starting node.\n", "2. Add the neighbors of that node to the queue.\n", " 1. If destination node is present in the queue, end.\n", " 2. If destination node is not present, proceed.\n", "3. For each node in the queue:\n", " 1. Remove node from the queue.\n", " 2. Add neighbors of the node to the queue. Check if destination node is present or not.\n", " 3. If destination node is present, end. <!--Credit: @cavaunpeu for finding bug in pseudocode.-->\n", " 4. If destination node is not present, continue." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Exercise\n", "\n", "Try implementing this algorithm in a function called `path_exists(node1, node2, G)`. (15 min.)\n", "\n", "The function should take in two nodes, `node1` and `node2`, and the graph `G` that they belong to, and return a Boolean that indicates whether a path exists between those two nodes or not. For convenience, also print out whether a path exists or not between the two nodes." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:27:11.092567Z", "start_time": "2017-07-11T19:27:11.041707Z" }, "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "def path_exists(node1, node2, G):\n", " \"\"\"\n", " This function checks whether a path exists between two nodes (node1, \n", " node2) in graph G.\n", " \n", " Special thanks to @ghirlekar for suggesting that we keep track of the \n", " \"visited nodes\" to prevent infinite loops from happening. This also \n", " removes the need to remove nodes from queue.\n", " \n", " Reference: https://github.com/ericmjl/Network-Analysis-Made-Simple/issues/3\n", " \n", " With thanks to @joshporter1 for the second bug fix. Originally there was \n", " an extraneous \"if\" statement that guaranteed that the \"False\" case would \n", " never be returned - because queue never changes in shape. Discovered at \n", " PyCon 2017.\n", " \n", " With thanks to @chendaniely for pointing out the extraneous \"break\".\n", " \"\"\"\n", " visited_nodes = set()\n", " queue = [node1]\n", " \n", " for node in queue:\n", " if node2 in G.neighbors(node):\n", " print('Path exists between nodes {0} and {1}'.format(node1, node2))\n", " return True\n", " else:\n", " visited_nodes.add(node)\n", " queue.extend([n for n in neighbors if n not in visited_nodes])\n", " \n", " print('Path does not exist between nodes {0} and {1}'.format(node1, node2))\n", " return False\n", " " ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:27:11.130414Z", "start_time": "2017-07-11T19:27:11.094558Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Path exists between nodes 18 and 10\n", "Path exists between nodes 22 and 51\n" ] } ], "source": [ "# Test your answer below\n", "def test_path_exists():\n", " assert path_exists(18, 10, G)\n", " assert path_exists(22, 51, G)\n", " \n", "test_path_exists()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "If you write an algorithm that runs breadth-first, the recursion pattern is likely to follow what we have done above. If you do a depth-first search (i.e. DFS), the recursion pattern is likely to look a bit different. Take it as a challenge exercise to figure out how a DFS looks like.\n", "\n", "Meanwhile... thankfully, NetworkX has a function for us to use, titled `has_path`, so we don't have to implement this on our own. :-) Check it out [here](https://networkx.github.io/documentation/stable/reference/algorithms/generated/networkx.algorithms.shortest_paths.generic.shortest_path.html#networkx.algorithms.shortest_paths.generic.shortest_path)." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:27:11.201570Z", "start_time": "2017-07-11T19:27:11.165701Z" }, "scrolled": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.has_path(G, 400, 1)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "NetworkX also has [other shortest](https://networkx.github.io/documentation/stable/reference/algorithms/shortest_paths.html) path algorithms implemented. \n", "\n", "We can build upon these to build our own graph query functions. Let's see if we can trace the shortest path from one node to another." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "`nx.shortest_path(G, source, target)` gives us a list of nodes that exist within one of the shortest paths between the two nodes. (Not all paths are guaranteed to be found.)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:27:11.241275Z", "start_time": "2017-07-11T19:27:11.203976Z" }, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "[4, 90, 111, 112, 132, 230, 335, 400]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.shortest_path(G, 4, 400)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Incidentally, the node list is in order as well." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Exercise\n", "\n", "Write a function that extracts the edges in the shortest path between two nodes and puts them into a new graph, and draws it to the screen. It should also return an error if there is no path between the two nodes. (5 min.)\n", "\n", "Hint: You may want to use `G.subgraph(iterable_of_nodes)` to extract just the nodes and edges of interest from the graph `G`. You might want to use the following lines of code somewhere:\n", "\n", " newG = G.subgraph(nodes_of_interest)\n", " nx.draw(newG)\n", " \n", "newG will be comprised of the nodes of interest and the edges that connect them." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:27:11.700990Z", "start_time": "2017-07-11T19:27:11.243761Z" }, "scrolled": true, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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WJEmSpCQRDocZNWoUr732Gm3btOHvQJ8ajj0RmAx8CoSr7P8C+A1weex7DnBO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\nxUqS1AWOLEuSpG7r1XBcWwvjxkFNTefn9pbcXKi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Xuj6zsmDvXrjyytT1KUmSJEnd5DTs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\nRK5CYII=\n", "text/plain": [ "<matplotlib.figure.Figure at 0x11dc6c4a8>" ] }, "metadata": { "image/png": { "height": 320, "width": 485 } }, "output_type": "display_data" } ], "source": [ "# Possible Answer:\n", "\n", "def extract_path_edges(G, source, target):\n", " # Check to make sure that a path does exists between source and target.\n", " if nx.has_path(G, source, target):\n", " nodes = nx.shortest_path(G, source, target)\n", " newG = G.subgraph(nodes)\n", " return newG\n", "\n", " else:\n", " raise Exception('Path does not exist between nodes {0} and {1}.'.format(source, target))\n", " \n", "newG = extract_path_edges(G, 4, 400)\n", "nx.draw(newG, with_labels=True)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Challenge Exercise (at home)\n", "\n", "These exercises below are designed to let you become more familiar with manipulating and visualizing subsets of a graph's nodes.\n", "\n", "Write a function that extracts only node, its neighbors, and the edges between that node and its neighbors as a new graph. Then, draw the new graph to screen." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:27:12.106747Z", "start_time": "2017-07-11T19:27:11.703464Z" }, "hide_input": false, "slideshow": { "slide_type": "skip" } }, "outputs": [ { "data": { "image/png": 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uLmbUqFEqvSIiTk4jviIiUmneeecdRo4cyXXXXUdqaio333yz0ZFEymTjxo10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Nttt+npp582HQdwOYfDoXnz5unmm2/W+vXr9corr5iOBAC2w1JnAIDXys/PV6NGjXTgwAEtWLBA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\nmRYtWmjat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"text/plain": [ "<matplotlib.figure.Figure at 0x11deb4748>" ] }, "metadata": { "image/png": { "height": 320, "width": 479 } }, "output_type": "display_data" } ], "source": [ "# Possible Answer\n", "\n", "def extract_neighbor_edges(G, node):\n", " neighbors = list(G.neighbors(node))\n", " newG = nx.Graph()\n", " \n", " for n1, n2 in G.edges():\n", " if (n1 == node and n2 in neighbors) or (n1 in neighbors and n2 == node):\n", " newG.add_edge(n1, n2)\n", " \n", " return newG\n", "\n", "fig = plt.figure(0)\n", "newG = extract_neighbor_edges(G, 23)\n", "nx.draw(newG, with_labels=True)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:27:12.538218Z", "start_time": "2017-07-11T19:27:12.109251Z" }, "slideshow": { "slide_type": "skip" } }, "outputs": [ { "data": { "image/png": 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QD9iffQer1XY83cMst0llWUSkgHNzcyMiIoLu3btz8eJF2rVrR1xcnOlYUkCp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udV/f333wwZMgR/f38A+vXrx+LFiylXrpziZCKvZGRk8Mcff+gLZ39//3/tezYzM9Pve3Z1dcXZ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\nkSNHuOmmm3jqqac47rjjwi5N7cCnn37K8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SxLkiRJkhTHsCxJkiRJUhzDsiRJ\nkiRJcQzLkiRJkiTF+X+o91SwgLfZCAAAAABJRU5ErkJggg==\n", "text/plain": [ "<matplotlib.figure.Figure at 0x120531940>" ] }, "metadata": { "image/png": { "height": 320, "width": 485 } }, "output_type": "display_data" } ], "source": [ "def extract_neighbor_edges2(G, node):\n", " neighbors = G.neighbors(node)\n", " newG = nx.Graph()\n", " \n", " for neighbor in neighbors:\n", " if (node, neighbor) in G.edges() or (neighbor, node) in G.edges():\n", " newG.add_edge(node, neighbor)\n", "\n", " return newG\n", "\n", "fig = plt.figure(1)\n", "newG = extract_neighbor_edges2(G, 19)\n", "nx.draw(newG, with_labels=True)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Challenge Exercises (at home)\n", "\n", "Let's try some other problems that build on the NetworkX API. Refer to the following for the relevant functions:\n", "\n", "http://networkx.readthedocs.io/en/networkx-1.11/reference/algorithms.shortest_paths.html\n", "\n", "1. If we want a message to go from one person to another person, and we assume that the message takes 1 day for the initial step and 1 additional day per step in the transmission chain (i.e. the first step takes 1 day, the second step takes 2 days etc.), how long will the message take to spread from any two given individuals? Write a function to compute this.\n", "2. What is the distribution of message spread times from person to person? What about chain lengths?" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:27:12.586925Z", "start_time": "2017-07-11T19:27:12.540058Z" }, "hide_input": false, "slideshow": { "slide_type": "skip" } }, "outputs": [ { "data": { "text/plain": [ "3" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Possible answer to Question 1:\n", "# All we need here is the length of the path.\n", "\n", "\n", "def compute_transmission_time(G, source, target):\n", " \"\"\"\n", " Fill in code below.\n", " \"\"\"\n", " length = nx.shortest_path_length(G, source, target)\n", " \n", " time = sum(range(1, length+1))\n", " \n", " return time\n", "\n", "\n", "compute_transmission_time(G, 14, 4)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:27:13.787964Z", "start_time": "2017-07-11T19:27:12.590135Z" }, "slideshow": { "slide_type": "skip" } }, "outputs": [ { "data": { "text/plain": [ "<Container object of 10 artists>" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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LAABAl7AAAAB0CQsAAEDXooSFqvqLqrqoqn5QVXdV1a1V9bdVdWJVPWqemn2q6vNj27uq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\n", 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"text/plain": [ "<matplotlib.figure.Figure at 0x121a735c0>" ] }, "metadata": { "image/png": { "height": 250, "width": 389 } }, "output_type": "display_data" } ], "source": [ "# Possible answer to Question 2:\n", "# We need to know the length of every single shortest path between every pair of nodes.\n", "# If we don't put a source and target into the nx.shortest_path_length(G) function call, then\n", "# we get a dictionary of dictionaries, where all source-->target-->lengths are shown.\n", "\n", "lengths = []\n", "times = []\n", "for source, sink_length in nx.shortest_path_length(G):\n", " for sink, length in sink_length.items():\n", " times.append(sum(range(1, length+1)))\n", " lengths.append(length)\n", " \n", "plt.figure(0)\n", "plt.bar(list(Counter(lengths).keys()), list(Counter(lengths).values()))\n", "\n", "plt.figure(1)\n", "plt.bar(list(Counter(times).keys()), list(Counter(times).values()))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Hubs Revisited\n", "\n", "If a message has to be passed through the network in the shortest time possible, there may be \"bottleneck\" nodes through which information must always flow through. Such a node has a high **betweenness centrality**. This is implemented as one of NetworkX's centrality algorithms. Check out the Wikipedia page for a further description.\n", "\n", "http://en.wikipedia.org/wiki/Betweenness_centrality" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:27:16.251679Z", "start_time": "2017-07-11T19:27:13.789666Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "<Container object of 410 artists>" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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LWAAAALqEBQAAoEtYAAAAuoQFAACgS1gAAAC6hAUAAKBLWAAAALqEBQAAoEtYAAAAuoQF\nAACgS1gAAAC6hAUAAKBLWAAAALqEBQAAoEtYAAAAuoQFAACgS1gAAAC6hAUAAKBLWAAAALqEBQAA\noEtYAAAAuoQFAACgS1gAAAC6hAUAAKBLWAAAALqEBQAAoEtYAAAAuoQFAACgS1gAAAC6hAUAAKBL\nWAAAALqEBQAAoEtYAAAAuoQFAACgS1gAAAC6hAUAAKBLWAAAALqEBQAAoEtYAAAAuoQFAACgS1gA\nAAC6hAUAAKBLWAAAALqEBQAAoEtYAAAAuoQFAACgS1gAAAC6hAUAAKBLWAAAALqEBQAAoEtYAAAA\nuoQFAACgS1gAAAC6hAUAAKBLWAAAALrWJCxU1bFVdV5VXVNVd1ZVq6oP7aTMEVX1iaq6varuraov\nV9Xrquohy5Q5saq+UFV3VdUdVXVVVR2zzPL7VtUZVXVjVd1XVT+oqg9X1WHLlHlCVZ1fVd+rqh1V\ntb2qzqmqA1Z2NAAAYDGs1ZmFNyf5wyS/nOS7O1u4ql6c5Ookz07ykSTvSrJ3knckuXCJMmcluSDJ\n45K8L8mHkjw1yceq6g87y++T5K+SvDXJnUnOTfLXSX4zyRer6vBOmYOTXJfkpCRfGOvzjSSvTfI3\nVfXone0bAAAsir3WaD2vT/KdJF9P8pwkVy61YFU9MsOH/X9M8tzW2hfH6W9JckWSY6vqhNbahVNl\njkhycpJbkjyztfajcfrbM3y4P6uqPt5a2z61qTckOTLJxUmOb609MJa5KMklSc6vqqdOpo/ek+Qx\nSV7TWjtvavtnj/t4ZpJXrvLYAADAprQmZxZaa1e21m5urbUVLH5skp9NcuEkKIzruC/DGYok+f2Z\nMpMP6GdOgsJYZnuSdyfZJ8PZgCRJVdVUmT+aDgSttY8muSbJL2QINpMyByc5OslkndNOS3J3kpdV\n1X4r2EcAANj05nGD8/PG8ac6865Ock+SI8bLiFZS5pMzyyTJwUl+PslNrbVbV1jmqHF82czZhrTW\nfpLks0keluRZnfUBAMDCWavLkFbj0HF80+yM1tr9VXVrkl9M8sQkN4zf5D8+yV2ttds667t5HB+y\nkm3sZpmjxzKXL7FMkqSqrlti1pOXKwcAABvJPM4s7D+O71hi/mT6o3Zx+fUsAwAAC2seZxYWXmvt\n6b3p4xmHp61zdQAAYJfM48zC5Bv6/ZeYP5n+411cfj3LAADAwppHWLhxHB8yO6Oq9kpyUJL7M/Rv\nkNba3Rn6bnh4VT2us74njePpew2W3MYalwEAgIU1j7BwxTh+YWfeszP84tC1rbUdKyzzopllkqE/\nhm8lOaSqDlphmUnfEEdX1YOOS1U9IkOfDfck+VxnfQAAsHDmERYuTvLDJCdU1TMmE6vqoUn+ZHz4\nZzNl3juOT62qA6bKbEvyqiQ7knxgMn3s72FS5k+nP/yPvUf/SpLrk3x6qswtSS5LMlnntDOS7Jfk\ng+OZDgAAWHhrcoNzVb0kyUvGh48dx/+2qi4Y//5ha+2NSdJau7OqXpEhNFxVVRcmuT3Jb2T4+dKL\nk1w0vf7W2rVjL8pvSPLlqro4yd5Jjk9yYJJXz/TenCRnJzkmQydwn6+qyzP0vXBchjMEvzvbn0KS\nP0hybZJ3VtXzk9yQ5PAMfTDclOTUVR4aAADYtNbq15B+OcmJM9OeOA5J8s0kb5zMaK1dUlXPyfDh\n+6VJHprk6xnCwDt7PUG31k6uqq9k+Nb/95I8kORLSd7eWvt4Z/kdVfWCJKck+e0kr09yZ5JLkpzW\nWru+U+aW8WzHH2e45OlXk9yW5NwkZ0z3Hg0AAItuTcJCa+30JKevssxnM3wYX02ZC5JcsIrl70ny\n1nFYaZlvJzlpNfUCYGvZdsql2f62X5t3NQD2uHncswAAAGwCwgIAANAlLAAAAF3CAgAA0CUsAAAA\nXcICAADQJSwAAABdwgIAANAlLAAAAF3CAgAA0CUsAAAAXcICAADQJSwAAABdwgIAANAlLAAAAF3C\nAgAA0CUsAAAAXcICAADQJSwAAABdwgIAANAlLAAAAF3CAgAA0CUsAAAAXcICAADQJSwAAABdwgIA\nANAlLAAAAF3CAgAA0CUsAAAAXcICAADQJSwAAABdwgIAANAlLAAAAF3CAgAA0CUsAAAAXcICAADQ\nJSwAAABdwgIAANAlLAAAAF3CAgAA0CUsAAAAXcICAADQJSwAAABdwgIAANAlLAAAAF3CAgAA0CUs\nAAAAXcICAADQJSwAAABdwgIAANAlLAAAAF3CAgAA0CUsAAAAXcICAADQJSwAAABdwgIAANAlLAAA\nAF3CAgAA0CUsAAAAXcICAADQJSwAAABde827ArBRbDvl0nlXAQBgQ3FmAQAA6BIWAACALmEBAADo\nEhYAAIAuYQEAAOgSFgAAgC5hAQAA6BIWAACALmEBAADoEhYAAIAuYQEAAOgSFgAAgC5hAQAA6BIW\nAACALmEBAADoEhYAAIAuYQEAAOiaW1ioqu1V1ZYYvr9EmSOq6hNVdXtV3VtVX66q11XVQ5bZzolV\n9YWququq7qiqq6rqmGWW37eqzqiqG6vqvqr6QVV9uKoOW4v9BgCAzWKvOW//jiTndKbfNTuhql6c\n5C+S3JfkoiS3J/n1JO9IcmSS4zplzkpycpLvJHlfkr2TnJDkY1X16tbau2aW3yfJX43r+2KSc5P8\n3LjuX6uq57XWPr9LewoAAJvMvMPCj1trp+9soap6ZIYP+/+Y5LmttS+O09+S5Iokx1bVCa21C6fK\nHJEhKNyS5JmttR+N09+e5LokZ1XVx1tr26c29YYMQeHiJMe31h4Yy1yU5JIk51fVUyfTAQBgkW2W\nexaOTfKzSS6cBIUkaa3dl+TN48PfnynzynF85iQojGW2J3l3kn2SnDSZXlU1VeaPpgNBa+2jSa5J\n8gtJnrMG+wMAABvevMPCPlX1O1X1pqp6bVUdtcT9B88bx5/qzLs6yT1JjhgvI1pJmU/OLJMkByf5\n+SQ3tdZuXWEZAABYWPO+DOmxST44M+3WqjqptfbpqWmHjuObZlfQWru/qm5N8otJnpjkhqraL8nj\nk9zVWruts92bx/EhK9nGMmW6quq6JWY9eWdlAQBgo5jnmYUPJHl+hsCwX5KnJvm/kmxL8smq+qWp\nZfcfx3cssa7J9Eft4vK7WgYAABbW3M4stNbOmJn01SSvrKq7MtyYfHqS31zveq2F1trTe9PHMw5P\nW+fqAADALpn3PQs97x3Hz56aNvlWf//0Tab/eBeX39UyAACwsDZiWPj7cbzf1LQbx/E/u1+gqvZK\nclCS+5N8I0laa3cn+W6Sh1fV4zrbeNI4nr4/YcltLFMGAAAW1kYMC88ax9+YmnbFOH5hZ/lnJ3lY\nkmtbaztWWOZFM8skQ38M30pySFUdtMIyAACwsOYSFqrqsPEXi2anb0sy6VX5Q1OzLk7ywyQnVNUz\nppZ/aJI/GR/+2czqJpcznVpVB8xs41VJdmS4yTpJ0lprU2X+tKp+ZqrMi5P8SpLrk0z/ShMAACys\ned3gfHySk6vq6iTfTPKTDP0c/FqShyb5RJKzJgu31u6sqldkCA1XVdWFSW5P8hsZfvL04iQXTW+g\ntXZtVZ2doVfmL1fVxUn2Hrd9YJJXz/TenCRnJzkmQydwn6+qyzP0vXBchr4cflfvzQAAbBXzCgtX\nZviQ/6+THJnh/oQfJ/lMhn4XPjh+0/9PWmuXVNVzkpya5KUZQsXXM4SBd84uP5Y5uaq+kuFMwu8l\neSDJl5K8vbX28c7yO6rqBUlOSfLbSV6f5M4klyQ5rbV2/RrsOwAAbApzCQtjh2urvpyntfbZJL+6\nyjIXJLlgFcvfk+St4wAAAFvWRrzBGQAA2ACEBQAAoEtYALaUbadcOu8qAMCmISwAAABdwgIAANAl\nLAAAbGAun2SehAUAAKBLWAAAALqEBQAAoEtYAAAAuoQFAACgS1gAAAC6hAUAAKBLWAAAALqEBQAA\noEtYAAAAuoQFAACgS1gAAAC6hAUAAKBLWAAAALqEBQBYQ9tOuXTeVQBYM8ICAADQJSwAAABdwgIA\nANAlLADACrgXAdiKhAUAAKBLWAAAALqEBQAAoEtYAAAAuoQFAACgS1gAAAC6hAUAAKBLWAAAALqE\nBQAAoEtYAAAAuoQFAACgS1gAAAC6hAUAAKBLWAAAALqEBQD2uG2nXDrvKsCa23bKpdo2C09YAObC\nmywAbHzCAgAA0CUsABuSsw6wfvy/AUsRFgAAgC5hgYXlmngAgN0jLABzJdABwMYlLABsUIIUAPMm\nLAAAAF3CAgAA0CUsAMA6cnkZsJkICwAAQJewwJbm51UBAJYmLMAGJcTAnuFLAoCVExYAgC1NeFx/\njvnmISyw4XlBAQCYD2EBYAEJ2QCsBWEBYA24Dh6ARSQswDrzgRKArcJ73uYnLAAAAF3CAgAALGGr\nnx0RFlhzrt0GAFgMwgJsAWsd4OYdBjdyIN2o9YJF53+PpWgbu0dYAIAtyoeoxec5ZncJC2xaXgAB\nAPYsYQEAAOgSFvgnG/k68NValP3Yajxv87NZj/1y9V6k1zR+ynMK60tYgE3OByIAYE8RFgAAgC5h\nATY4Zw3YXXuiDa1nu/Q/ADA/wgKbmg8Re4bjCqwXrzcr4zgxL8ICm44XzI3N87M1uXeGjUq7hN0j\nLMAuWskbkDcpNiPtFgZb7X9hs4f+zVz3jUxYANikvDGyKDb7h9TV2uz3EbG1CAtsCVvtjWgr2krP\n72r2dSsdF9gd/legT1hgy/LGsHa24rHcivu86Bb1S4Xd3adFPCYblWPNRiQssFOL+ga60az1MV7J\n8+Z53TnHaM/aWQ/Mm8Vmqus8TV6XFu14Ldr+LGcRnz+WJyzAOtmdF1cvzGtvV46p52F1NsPx8sFn\n7W3117r13od5HjP/P1uDsLCF7Kl/6I3yQrFR6rFaW/2NdbWm93mj7P9q67FR6r2nLPL+7el9W2r9\ni3xMl7OrH0YX/f1uZzZLPTcqx+/BhIWOqnpCVZ1fVd+rqh1Vtb2qzqmqA+Zdt/WwGf9JXJO7mKY/\nKCzqN1jz2qeVbncrBqF5BdK13NZKQsciPFfLWfT9SxZnH3v7MfuavxFfKxfl+O+MsDCjqg5Ocl2S\nk5J8Ick7knwjyWuT/E1VPXqO1ZurRb3WdDXWa9/X41uxrfw89mz047HR67enrTY0rsUXCJv9/329\nt7Enbfb692z191M2D2Hhn3tPksckeU1r7SWttVNaa8/LEBoOTXLmXGu3m7wwrd5WC0lbZT+Tzbmv\nm7HOG8meuKRld87S7Orz2XtN2qptY70u5VyL47ua95L1ONMEKyEsTBnPKhydZHuSd8/MPi3J3Ule\nVlX7rXPV1t1W+nC82Wz1a3FnOVvyUyv5UNs7XvM4bnvq2vxFeu3aaPcvrMcZnZVai4CwGdrJnqjj\nRr60cL0DGSsjLDzYUeP4stbaA9MzWms/SfLZJA9L8qz1rtha2yjXAk7bCHVYC7vz7eHOro3cSMdo\nV95w1msf9sSHrNV+A7nez9VGahvrZfY1bCMeg41Yp41iZ8+Zb9bnZ6OdUd8o9Ug2Vl3Wi7DwYIeO\n45uWmH/zOD5kHeqybubZ8PfE6djlTs2vZnureRNbbUDYTN9s7cxSx3e5474I+71SK3nD3WqXlKz3\nvu6pb8TX+xKW1dqdD3ubpf3N8/9mrd5P9tS2V/q+tJrXqHl/EbMR1rsVVWtt3nXYMKrq/07yiiSv\naK29vzP/zCRvSvKm1tp/XmY91y0x65f23Xffhxx22GFrUt/V+up370iSPOXx+3f/7llu/lMev/+D\n1ttb92rrMb3O2fXPztuV/Vmt3vpWsu098fdsHZKlj/3O9mm67EqP60qW2dXnpLc/s/NX2k535e+l\n9m1n+7wn9J6febSx5eo2Xb+l1rGnnpO1/L9f7b7vyXqv1XOy3P/SnvzfWGm7Xc0+reR1Y0/8P0zb\n2TFdqt4rLbMe+7Oz99y1fG3rHb/etifz1vq5Wqo+08/JbJmlnrfd/QzS2956u+GGG3Lvvffe3lrb\nrR/nERamrENYeEqSuzLcE7GenjyOv7bO22UxaU+sNW2KtaQ9sdY2a5valuTO1tpBu7OSvdamLgtj\nEkuXioOexfi2AAAHb0lEQVST6T9ebiWttaevWY3WwCS8bLR6sTlpT6w1bYq1pD2x1rZ6m3LPwoPd\nOI6XuifhSeN4qXsaAABgYQgLD3blOD66qh50bKrqEUmOTHJPks+td8UAAGC9CQtTWmu3JLkswzVe\nr5qZfUaS/ZJ8sLV29zpXDQAA1p17Fv65P0hybZJ3VtXzk9yQ5PAMfTDclOTUOdYNAADWjTMLM8az\nC89IckGGkHBykoOTnJvkWa21f5hf7QAAYP346VQAAKDLmQUAAKBLWAAAALqEBQAAoEtYAAAAuoQF\nAACgS1gAAAC6hAUAAKBLWFhgVfWEqjq/qr5XVTuqantVnVNVB8y7bsxPVR1bVedV1TVVdWdVtar6\n0E7KHFFVn6iq26vq3qr6clW9rqoeskyZE6vqC1V1V1XdUVVXVdUxa79HzFNVPbqqXl5VH6mqr4/t\n446q+kxV/Yeq6r7PaFMsp6r+S1VdXlXfHtvH7VX1t1V1WlU9eoky2hQrVlW/M77/tap6+RLLaFPR\nKdvCqqqDk1yb5DFJPprka0n+TZKjktyY5Ei9UW9NVfV3SX4pyV1JvpPkyUn+n9ba7yyx/IuT/EWS\n+5JclOT2JL+e5NAkF7fWjuuUOStD7+ffSXJxkr2TnJDkwCSvbq29a413izmpqlcm+bMktyW5Msm3\nkvyLJL+VZP8Mbee4NvVmo02xM1X1P5J8Kcn1SX6QZL8kz0ryjCTfS/Ks1tq3p5bXplixqvq5JF9J\n8pAkD0/yitba+2eW0aYmWmuGBRyS/GWSlqFxTk8/e5z+3nnX0TC3tnFUkiclqSTPHdvDh5ZY9pEZ\n3qh3JHnG1PSHZgijLckJM2WOGKd/PckBU9O3JfmHDC+82+Z9HAxr1p6el+EN9Gdmpj82Q3BoSV6q\nTRlW2a4eusT0M8e28J6padqUYTVtq5L8dZJbkrx9bAcvn1lGm5oaXIa0gMazCkcn2Z7k3TOzT0ty\nd5KXVdV+61w1NoDW2pWttZvb+Cq2E8cm+dkkF7bWvji1jvuSvHl8+PszZV45js9srf1oqsz2DO1x\nnyQn7WL12WBaa1e01j7WWntgZvr3k7x3fPjcqVnaFDs1toeeD4/jJ01N06ZYjddk+JLjpAyfh3q0\nqSnCwmI6ahxf1nkD/0mSzyZ5WIZTurCc543jT3XmXZ3kniRHVNU+KyzzyZllWGz/cxzfPzVNm2J3\n/Po4/vLUNG2KFamqw5K8Lcm5rbWrl1lUm5oiLCymQ8fxTUvMv3kcH7IOdWFzW7IttdbuT3Jrkr2S\nPDFJxrNVj09yV2vtts76tL0toqr2SvLvxofTb57aFCtWVW+sqtOr6h1VdU2S/5QhKLxtajFtip0a\nX5M+mOHyyDftZHFtaspe864Ae8T+4/iOJeZPpj9qHerC5rbatqTtMfG2JE9J8onW2l9OTdemWI03\nZrhhfuJTSf59a+3vp6ZpU6zEW5P86yT/W2vt3p0sq01NcWYBgDVVVa/J8IsgX0vysjlXh02stfbY\n1lpluGH+tzJ8k/u3VfW0+daMzaSqDs9wNuG/ttb+Zt712WyEhcU0SbD7LzF/Mv3H61AXNrfVtiVt\nb4urqj9Mcm6Gn7w8qrV2+8wi2hSr1lr77621j2T48Y5HJ/lvU7O1KZY0Xn703zJcUvSWFRbTpqYI\nC4vpxnG81LVxk1+RWOqeBphYsi2NL8AHZbh59RtJ0lq7O8l3kzy8qh7XWZ+2t8Cq6nVJzkvy1QxB\n4fudxbQpdllr7ZsZgugvVtX/Ok7WpljOwzO0jcOS3DfVEVvL8AuRSfK+cdo542NtaoqwsJiuHMdH\nz/aeWlWPSHJkhjv5P7feFWPTuWIcv7Az79kZflXr2tbajhWWedHMMiyIqvqPSd6R5O8yBIUfLLGo\nNsXu+pfj+B/HsTbFcnYk+fMlhr8dl/nM+HhyiZI2NW3eHT0Y9swQnbIZVjBkZZ2y/X10TGNYvh29\nZXzOv5jkwJ0sq00ZdtaeDkmyf2f6z+SnnbJ9Vpsy7O6Q5PQs3SmbNjUONe4IC2bsmO3aJI9J8tEk\nNyQ5PEMfDDclOaK19g/zqyHzUlUvSfKS8eFjk/zvGU6lXjNO+2Fr7Y0zy1+c4YXuwgxd3v9Gxi7v\nk/wfbeaFpKr+a5I35MFd3h+f4VrjzdvlPf9MVZ2Y5IIM3/Kel/6vgWxvrV0wVUabYknj5Wz/OcO3\nvbdm+KD1L5I8J8MNzt9P8vzW2vVTZbQpVq2qTs9wKdIrWmvvn5mnTU3MO60Y9tyQ5OeSfCDJbUn+\nR5JvJjknU4nXsPWG/PSblKWG7Z0yRyb5RJIfJbk3yVeSvD7JQ5bZzr9P8v9m6CHzJ0k+neSYee+/\nYd3bU0tylTZlWEWbekqSd2W4pO2HGa4Nv2N87k/PEmevtCnDaocscWZhar421ZxZAAAAluAGZwAA\noEtYAAAAuoQFAACgS1gAAAC6hAUAAKBLWAAAALqEBQAAoEtYAAAAuoQFAACgS1gAAAC6hAUAAKBL\nWAAAALqEBQAAoEtYAAAAuoQFAACgS1gAAAC6hAUAAKDr/wcY57cpEX1AeAAAAABJRU5ErkJggg==\n", "text/plain": [ "<matplotlib.figure.Figure at 0x121880f28>" ] }, "metadata": { "image/png": { "height": 250, "width": 389 } }, "output_type": "display_data" } ], "source": [ "btws = nx.betweenness_centrality(G, normalized=False)\n", "plt.bar(list(btws.keys()), list(btws.values()))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Exercise\n", "\n", "Plot betweeness centrality against degree centrality for the network data. (5 min.)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:27:18.280215Z", "start_time": "2017-07-11T19:27:16.253393Z" }, "scrolled": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "<matplotlib.text.Text at 0x121a0c860>" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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QJEmSVInBhCRJkqRKDCYkSZIkVVJrMBERz4qIt0TEvk3H9omIf4qI2yPipog4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\n6b2sWbeBqRPH8d75s3j761/d9HjNtJJvO2W98o5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"text/plain": [ "<matplotlib.figure.Figure at 0x1198d0940>" ] }, "metadata": { "image/png": { "height": 277, "width": 393 } }, "output_type": "display_data" } ], "source": [ "# Possible answer:\n", "\n", "deg_centrality = nx.degree_centrality(G)\n", "btw_centrality = nx.betweenness_centrality(G)\n", "\n", "deg_cent_sorted = [i[1] for i in sorted(zip(deg_centrality.keys(), deg_centrality.values()))]\n", "btw_cent_sorted = [i[1] for i in sorted(zip(btw_centrality.keys(), btw_centrality.values()))]\n", "\n", "plt.scatter(deg_cent_sorted, btw_cent_sorted)\n", "plt.xlabel('degree')\n", "plt.ylabel('betweeness')\n", "plt.title('centrality scatterplot')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Think about it...**\n", "\n", "From the scatter plot, we can see that the dots don't all fall on the same line. Degree centrality and betweenness centrality don't necessarily correlate. Can you think of scenarios where this is true?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "What would be the degree centrality and betweenness centrality of the middle connecting node in the **barbell graph** below?" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2017-07-11T19:27:18.608362Z", "start_time": "2017-07-11T19:27:18.282072Z" }, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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pyZdffknfvn25cOEC3bp1IzY21ipzX83X15dXXnkFgGeeecapDxATEREREbEF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