{ "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", "# list(G.neighbors(7))" ] }, { "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": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "51 50\n", "272 47\n", "195 43\n", "235 43\n", "161 34\n", "dtype: int64" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "\n", "(pd.Series({n: len(list(G.neighbors(n))) \n", " for n in G.nodes()})\n", " .sort_values(ascending=False)\n", " .head(5)\n", ")" ] }, { "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]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An alternative:\n", "\n", "```python\n", "sorted([(n, G.neighbors(n)) for n in G.nodes()], \n", " key=lambda x: len(x[1]), reverse=True)[0:5]\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An alternative from [**@dgerlanc**](https://github.com/dgerlanc) using generator expressions to save on memory materialization cost & time:\n", "\n", "```python\n", "gen = ((len(list(G.neighbors(x))), x) for x in G.nodes())\n", "sorted(gen, reverse=True)\n", "```\n", "\n", "This answer was raised on [GitHub](https://github.com/ericmjl/Network-Analysis-Made-Simple/issues/75)." ] }, { "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": [ "Text(0.5,1,'Degree Centralities')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { 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\n", "text/plain": [ "
" ] }, "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": [ "Text(0.5,1,'Number of Neighbors')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "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": [ "Text(0,0.5,'Number of Neighbors')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Mev9tgAP2z9o2DWxK6XwiIiIiIrIEaQWAJ4CXznr/WuAx59zxWdsuJ3kgWERERERE1khaAeAvgJvM7Ctm9nngJuAjF7S5BXgkpfOJiIiIiMgS+Ckd573A84H/CBjwSeD3z+40s28GrgP+OqXziYiIiIjIEqQSAJxzbeAHzexNyVtXvaDJIeBm4HAa5xMRERERkaVJJQCY2Z8DX3PO/dFc+51zZ9D8fxERERGRNZfWMwA/SFIKVERERERELmFpBYDDKACIiIiIiFzy0goAHwFeYWaDKR1PRERERERWQFoB4PeAe4DPmdmrzGxrSscVEREREZEUpVUGdKb7asDfAZjZXO2ccy6tc4qIiIiIyDOU1mD884BL6VgiIiIiIrJC0loH4NY0jiMiIiIiIisrrWcARERERERkHUh9Pr6ZZYFrgQFgCjjQXSlYRERERETWWGp3AMysz8zeB0wCDwB3AfcDk2b2PjMbSOtcIiIiIiKyNKncATCzPuCLwA1AleSh4JPAduA5wE8CLzKzFzjnptM4p4iIiIiIPHNp3QF4K8ng/73Abufcrc65H+g+HLwb+FPg+m47ERERERFZI2kFgO8Dvuyce7NzbnL2DufclHPuZ4F/BV6b0vlERERERGQJ0goAu0jm/C/kbuDylM4nIiIiIiJLkFYAaADDF2mzpdtORERERETWSFoB4KvA68zs6rl2mtle4Pu77UREREREZI2ktQ7AHwCfBb5qZn8MfI6kCtA24FbgZ4Ey8K6UziciIiIiIkuQSgBwzv2Lmf008G7g17o/ZxnQBn7GOffPaZxPRERERESWJrWVgJ1z/6+ZfRr4IeBmoJ9kJeD7gb9yzh1J61wiIiIiIrI0qQUAAOfcUeB30jymiIiIiIikJ9UAICIiIpeWWjNkotmmHTuynjFYyFIuBGvdLRFZQ6kGADN7A/BGkilAfcA0yRSgP3fOfTjNc4mIiMj8xmotjow1OFNtMd1sETnwDfoKOTZXcuweKjJUzq11N0VkDaQSAMwsC3wceBXJQ78RMAoMAd8O3Gpm3w/c5pxrp3FOERERmdvxiSYHTk5xYrJJrdWmks/ieUYzcoyMTnNqOst4vcV12/vZMVhY6+6KyCpLax2AtwKvBr5CMuDPO+e2A3ngpcC/kYSDX0npfCIiIjKHsVqLAyenODRaw/eNa7f1sWtTiR39RXZtKnHttj583zg0WuPAySnGaq217rKIrLK0AsAPA48Dtzrn7nbOdQCccx3n3F0kawEcAn40pfOJiIjIHI6MNTgx2aRc8NnRX8TLnP9fvZfJsKO/SLngc2KyyZGxxhr1VETWSloBYCfwd865cK6dzrkW8HfAjpTOJyIiIheoNUPOVFvUWm22VfILtt1WyVNrtZP2zTn/+xaRDSqtAHACyF6kTbbbTkRERFbARLPNdLOVzPnPLPxfvJfJUMlnmW62mGjq8TyRXpJWAPgIcJuZ9c2108wGgNsAVQISERFZIe3YETnwPFtUe88zIpd8TkR6R1oB4B3APcC/mdkPmtlOM8t2X98AfJnkQeDfSul8IiIiPavWDDk2XufQaI1j4/VzU3iynuEbxIsc0Mexw7fkcyLSO5ZUBtTMOsBcv10M+NA8268Gmks9p4iISK+7WG3/oZJPXyHHyOg0caez4DSguNOhOtNm65Y+BgsXm8UrIhvJUgfj+5k7AIiIiMgKWExt/8sGCnToUM5lOVWdYUd/cd7jnarOUM5l2VzJaWVgkR6zpADgnLs15X6IiIjIPGbX9i8XfK4d7Dvv2/240+FUdYZDozU2l7OUcx5naiHHabCtkp+zba0ZsWdLmd1D84cEEdmYNB1HRETkEndhbf8Lna3tf5wGtVaHbX15+goBJyabfOPU9Lm7BXHsqM60Keey7NlS5rrt/QyVc2twRSKylhQARERELmGza/tfOzhnsb1ztlXyfOPUNFDg6q0lNpVy5z0vEPjG1i19bK7k2D1U1OBfpEelFgDMLAu8BvhmYBDw5mjmnHM/ltY5RURENrql1vbPWIVbdg9Sa4ZMNNu0Y0fWMwYLWc35F+lxqQQAM7sM+CfgWpKKP/NxgAKAiIjIIi23tn+5EGjALyLnSesOwB8C1wF/DbwfOAZEKR1bRERkw4viDmHcoeMgYxB4GXwvc662fzNafG3/wDfV9heReaUVAF4G7HfOvSGl44mIiPSEVhRTb8XMtGPCKH4qAPge+axHMciotr+IpCqtAJAHvpLSsURERHpCM4yZbITUWhFh3CHnZzAzoo6j3ggJvAzlnE8l76u2v4ikJq0A8HVgd0rHEhER2fBaUTL4n2y2CfwMQ/kAs6em7ZSdox7GTDbb9OWzbKkEHBtvqra/iCxbWgHgD4C/NLPrnXMPp3RMERGRDaveiqm1IgI/+Zb/QmZGOedTI6KTcewaKpP1PNX2F5FlW1IAMLMXX7BpBPgk8CUzezdwLzA512edc/uXck4REZGNIoo7yZz/uMNQfuGpOqXAY6weMlgM2FwKVNtfRJZtqXcA7iIp6XkhA942z76z5lofQEREpGeEcYcwis/N+V+ImZHzM4RRzHBfnlv6C6rtLyLLstQA8A4WHuSLiIjIPDou+bnY4P8sMzv3GVBtfxFZniUFAOfc7Sn3Q0REZMOZ75v6jCWlPqPO4r5Lc87hZYyMSvuLSArSeghYREREusZqLY6MNc6bq+8b9BVybK7k2DGQJ/A96o2QsnML3glwztGKOhSLAYE3/xoAIiKLpQAgIiKSouMTTQ6cnOLEZJNaq32uWk8zcoyMTnNqOst4vcD2gQKBl6EexnNWATqrHsYEXoZ81sNXABCRFKQSAMzszkU06wDTwAHgb51z96RxbhERkUvFWK3FgZNTHBqtUS74XDvYN2e9/kOjNdpxzK7BMhnPqBFRCrzz7gS47joAYdRhoJCllFMNDRFJR1p3AG7tvjqSSkAXmr39e4FfNbP3OefenNL5RURE1tyRsQYnJpuUC/6cK/Z6mQw7+oscp8FoNWSg0OaKzSVqrYixeniuKtDZaT+Bl2GgkGWgGJDzFQBEJB1p3UvMA3cAjwL/CbgCKHRff6i7/Q5gJ/B/AQ8AbzKzN6Z0fhERkTVVa4acqbaotdpsq+QXbLutkqfWalOdiQh8GCrnGCwG+BnDAD9jDBYDhso5NpUDCoEG/yKSnrTuALwNeB5wo3Nuetb2o8CHzewfgK8Db3LO/aaZ3Qc8AvwY8Ocp9UFERGTNTDTbTDdbyZz/zMLfr3mZDJV8lulmi0bY4fJNBaK4Qxh36LikQlDgZTTnX0RWRFq/Wd4A/M0Fg/9znHNTwCdI7g7gnBsDPg3ckNL5RURE1lQ7dkQOPG9xtTo9z4hc8jkA38tQDHzKOZ9i4GvwLyIrJq07AJcB7Yu0aQPbZ71/kmTqkIiIyLox3zf1Wc/wDZrR4mr7x7Ej8I3sIgODiEha0vp64TjwajObM1CYWRb4HuDErM1bgMlneiIz+30z+xczO2ZmTTMbN7P7zeztZjY0z2deYGaf6rZtmNmDZvYWM9OkShERWZRWFDNeDxmpthiZnnnqp9pivB5SDDL0FXJUZ9rEnc6Cx4o7HaozbfoKOQYL2VW6AhGRRFoB4EPANcA/mdkLzSwDYGYZM3sR8E/AVd12Z70AeGgJ5/p5oNQ95ruBDwMRcDvwoJldPruxmb0G2A+8GPhb4E+BAPgj4KNLOL+IiPSYZhgzXgsZq7WYaIREHYcjWcl3opFsDyOo5H3KuSynqjMLHu9UdYZyLsvmSo5yIVidixAR6UprCtDvkjwE/EqSwXbHzMaBTSQhw4DPdNthZtuBfyd5LuCZ6nPOPe03q5n9DvBrwFuBn+5u6wPeD8TArWfXHjCztwF3AreZ2eudcwoCIiIyp1YUM9kImWy2CfwMQ/ngvHr95W69/slmm758li2VgGPjTY7TYFslP+c6ALVmxJ4tZXYPPb1UqIjISkvlDoBzLnTOvQr4EeBzwBTJ4H+6+/5HnXOvdM6F3fYnnXM/4Jz7+BLONd/XKv9f9/XqWdtuI5lq9NHZC491j/Eb3bc/9Uz7ICIivaPeiqm1IgI/Qznnnzf4BzAzyjmfwM8QZDPsGiqzZ0uZKHJ849Q0R8frHJ9qcHS8zjdOTRNFjj1byly3vZ+hcm6NrkpEelladwAAcM59iPOn+aymV3dfH5y17aXd18/M0X4/0ABeYGY551xrJTsnIiLrTxR3mGnHhHGHofzCU3VKgcdYPWSwGLC5FLCplONMtcV0s0XkIPCNrVv62FzJsXuoqMG/iKyZVAPAajKzXwLKQD/J9KMXkQz+3zmr2b7u66MXft45F5nZEySlSPcABy5yvnvn2XXtM+u5iIisF2HcIYzicyv0LsTMyPkZwihmuC/PLf0Fas2QiWabduzIesZgIas5/yKy5tZtAAB+Cdg66/1nSKYajc7a1t99nZrnGGe3D6TcNxER2QA6Lvm52OD/LDM79xmAciHQgF9ELjlLCgBm1gE6wPXOuUe77xdT+Ng551IJHc65bd2+bCWpKPRO4H4ze5Vz7r5FHubsb/SL9t0599w5D5DcGbhlkecTEZFL1EwYUQsj4g54GSgHPhlLav1HncXV9nfO4WWMjEr7i8glbKmD8f0kg+bGBe9XnXPuNPC3ZnYfyVSfvwRu7O4++w1//1yfBfouaCciIj2mOtNmpNpiutGm3moTO4dnRimXpZT3wEG74yg7t+CdAOccrahDsRgQaBVfEbmELSkAOOduXej9WnDOHTGzh4HnmNlm59wZ4BGS5wOuAc6bw99dtOxKkjUEDq12f0VEZO2N10KOjtc5U2vRCCNKOZ9MxojiDuMTdYqBT+AZhSBLPhtTzs3/32Y9jAm8DPmsh68AICKXsPX8DMBcLuu+xt3XO4E3AC8H/vqCti8GisB+VQASEek91Zl2UqJzskkx53HFUInMrJr9nU6HsUbIeKNNOXaYJTe6S4F33p0A110HIIw6DBSylHJaZF5ELm2pf0VhZiUzu9nMvm0Fjn2tmW2bY3umuxDYMPAl59xEd9fHgTPA683sebPa54Hf7r59b9r9FBGRS99ItcWZWotizmNLOX/e4B8gk8mwpZynv5il1e4QdaDTcYzVQ6ozbWqtiOpMm7F6SKfjGChkGSgG5HwFABG5tKV2B8DMdgLvJqnH75E8E+B3970I+DPgp51zdy3jNC8H/sDM9gMHgTGSSkAvISnleQr4ibONnXPTZvYTJEHgLjP7KDAOfA9JidCPAx9bRn9ERGQdmgkjphttGmHEFUOlBdsOFQOqzToGlHIeJXzCKKbjwMsYxWJAPutRynka/IvIupBKADCz7cBXSAbjf0/yTfy3zmryle62/wjctYxT/TNJkHgh8GyS8p11kod/PwS8xzk3PvsDzrk7zOwlwK8DrwXywOPAL3Tbr8nDyyIisnZqYUS91e7O+V/4Zngmk6GU82lHMYGfYaAQEMYdOi6pEBR4Gc35F5F1Ja07AG8nGeB/p3PuLjN7O7MCgHOubWafJxm4L5lz7uvAm5fwuS8Cr1zOuUVEZOOIOxA7R2aR9TozGSN2jrgDvgb8IrLOpRUAXgn8/UWm9xwFUn8uQEREZD6T9RlGqiFh3CHwMgxXAgZKebwMeJZU+1mMTseR9TJo3C8iG0FaAWAr8NhF2rSBhSdaioiIpODkZJNHTlU5NdlkotEicg7fjMFijm0DBXYPFSjlsoxP1Ol0OgtOA+p0OtRbEZsGS5SDjVY8T0R6UVq/ycaByy/S5hqSh3RFRERWzMGRGvceGePoWJPpmZD+QhbfMxpRh5OnpnhysslItcCWSp5i4DPWCNlSzs97vLFGSDHw6StmySsAiMgGkNZvsi8C32Nm25xzTxvkm9nVJBV8/iql84mIiDzNyckm9x4Z45FTVfoKPs/a2Y/vPVWZJ4pjjnfvDjTDiB0DJRqtmFFmGCoGc64D0GjF7BgoMFzJrcUliYikLq3ZjH9AUl3nbjN7BckCW2fXBHgF8EmgA/xhSucTERF5mkdOVTk61qSv4LN7qHze4B/A9zx2D5XpK/iMVts028ngPo4dh8fqnJ5uMlqb4fR0k8NjdeLYsWOgwK5NJSr57BpdlYhIulK5A+BY43UJAAAgAElEQVSc+4qZ/STwPuAfZu2a7r5GwBudcw+lcT4REZELTdZnODWZTPt51s7+BdvuGCjw4JNT1Gcihso+lUKW6UabeqtN7JIHfjcNlugrZhmu5DT4F5ENJbXJjM65D5jZF4CfBp4PDAFTwJeBP3HOPZLWuURERC40Ug2ZaLS6c/4XXpDL9zz6C1kmGi2aoeOabRVmwohaGBF3wMtAOfA1519ENqRUf7M55x4Dfj7NY4qIiCxGGHeSaj/e4mr7+54ROUfYLQWa14BfRHqEftOJiMi6cqba4Phki1YUk/M9dgzk2FwpJivyWlLtZzGi2FHMZghU3F9EesySA4CZLek3pnNucb+ZRUREZjlyps6DT05yfLzBWP2p2v5DpRw7NhXZvanAYDHHyVNTRHG84DSgKI6ZarbZ0V9kuBKs4lWIiKy95dwBaC/hM26Z5xQRkR700PEpvvj4CE+MNphutekvZMl6Rj3qcOLkFEfGG5zcUiTn+fTlA45PNtk9VJ73eMcnm/TlA7YNFBgozb8GgIjIRrScwfgxkgH9YpRJHgoWERF5Ro6cqfPFx0d4+ESV/qLPzcP9ZP2n/vtqRxHHJpo8fKLKzsE8xWyGsUbEkbEaOwYKc64DMN2M2Letwr5tlbW4JBGRNbXkAOCcu+JibcwsC/ws8OvdTYeXej4REelNDz45yROjDfqLPnu2PH3AnvWT7YdGq4zV2gwMl9m3rcDRsSYPPjl1biXgKHZMNdv05QP2bavw3N1DbB8orMEViYisrRWbjmNmrwN+D7iSpBzoLwPvWanziYjIxnOm2uD4eDLt5+bhhWv7Xz5Y4P5jU0RRhxt39DNcKXBqsslEI3leoJjNsKO/yLaBAvu2VTT4F5GelXoAMLMXkKz4+80kC4C9B3iHc24i7XOJiMjGdnyyxVg9qe0/e9rPXLK+T38hy1i9RTt23HrtMJP1GUaqIWHcIfAyDFcCzfkXkZ6XWgAws6uAdwL/ATDg48CvOucOpXUOERHpLa0oJnKO7CJr+2e7tf1bUQzAQCmvAb+IyAWWHQDMbBPwduC/AAHwr8AvOue+vNxji4hIbzg8Ns2jJ2s02jHFrMc128tcMdRHzvfwLan2sxjt2FHKZsj5C68ELCLSy5azDkAAvAV4K9APHCT5xv8TKfVNREQ2uAeOTLD/sREOjdQYq7eIncPr1vbfM1zm2TsGGSrlOHFyinYULTgNqB1FTDXb7BoosmMgt4pXISKyviznDsAjwC5gnCQI/KlzLk6lVyIisuF97sApPvXgcQ6ONqiGEZWcT+BnmGnHnKpOc3S8wbGxGkOlPH25LMcmmnNWATrr2ESTvlyWHZuKbK4UV/FKRETWl+UEgN0k6wAY8EvAL5lddI6mc87tXsY5RURkA3jgyASfevA4D52o0lfMcvNwH0E2e25/2G5zdGKGh05U2TnQ5rKBPJONmEOjVS4fLMy5DsBUI+L6yyo8a+fAWlySiMi6sdxnAAzY1P0RERFZlP2PjXBwtEFfMctVw0//Vj/IZrlqOMvjI1XO1NtsqeS5/rIKT4w2uP/Y1LmVgNtna/vnslx/WYUXXjXM7s2lNbgiEZH1YzkLgWXS7IiIiPSGw2PTHBqpUQ0jbh7uW7DtrsE89z85TT2MuXFHhe39RY6PNxirJ7X9S9lMMud/U5Fn7RzQ4F9EZBFWbCEwERGRuTx6Mnngt5Lzz5v2M5cgm6WS8xmrt6jNdHj1c3Yki4NNtmhFMTnfY8dATnP+RUSeAQUAERFZVY12TOwcgb+4G8mBnyF2jkY7qTOxuaKHfEVElkMBQEREVsQjpyf52rEp6q2IUs7npsv72bd1gGLWwzNjpr24wnFh1KEUeBSzqu0vIpIGBQAREUnVlx4b5bMPn+LgSJWJeniutv9gKWDvcIVn7agwVMpxqjpN2G4vOA0obLeptiJ2DRa5Znt5Fa9CRGTjUgAQEZHU/P39T3LHfUc5PNak3o4pBh6Bl2EmihkdqXF8osnRM1WCwKcS+BydmOGq4fkDwNGJGSqBz57hZGVgERFZPgUAERFJxZceG+WO+47yyOk65bzPjUN5gtxTK/KGrRZPToU8crrOtrJPMZdlvNHm8ZEquwbzc64DMN1oc8NlFV589fBaXJKIyIakACAiIqn47MOnODzWpJz32TNXbf9cjj3DOQ6NVJmY6dBf8blhoMDB0Qb3Pzl9biXgMOpQbUVUAp8bLqvwymft4Dm7B9fgikRENqYl1fI3s3Ez++VZ73/TzF6cXrdERGQ9eeT0JAdHqtTbMTv7gwXb7uwPqLdj2lGHb7t6mFuvHeaGbX2UAo+MQSnwuGFbH7deO8wbnr+Hb79u2ypdhYhIb1jqHYABID/r/e3dn/3L7I+IiKxDXzs2xUQ9TOb8z5r2M5cgl6MYzDBRDwk7HX7uO/dxeGyaR0/WaLRjilmPa7Zrzr+IyEpZagA4DexMsyMiIrJ+1VtRUtvfW2Rtfy+p7V9vRQBcMdSnAb+IyCpZagD4MvBDZhYDJ7vbbjWzi33OOed+a4nnFBGRS8Bc9f1LOT+p7R8tsrZ/3KGU9Sjl9CiaiMhqW+pv3v8KXAP8l1nbbu3+LMQBCgAiIuvQQvX9B4pZcDGNMCZstRacBhS2WjTCmJ0DBW66vH8Vr0BERGCJAcA597iZ3QRcCewA7gI+CPxFaj0TEZFLxsXq+5eyHo1WSNxxPDkVsmd4/gDw5FRIKeuxd7jCvq0Dq3gVIiICyygD6pzrAAeBg92pP4edc3en1TEREbk0LLa+f1jrEHVgdLoJJNV+5mpXm4nYt7XEy65XdR8RkbWQyuRL59ySyomKiMilb7H1/QHGay28jKMddfj6qTrFYIbAyxDGHRphTCnrsW9rie+9ZRcvuHrLal+KiIiwAguBmdlO4GaSUqFTwH3OuSfTPo+IiKy82fX9bxzKL9h2Z3/AZLPN5lISFCbq7XPPCpSyHjsHCuwdrvCy67dp8C8isoZSCwBmtgv4M+C75tj3T8CbnHOH0zqfiIisvKXU94cML75mmJsu739atSDN+RcRWXupBAAz2wZ8keSB4MMkC4KdBLYDLwJeBnzBzJ7nnDuVxjlFRGTlLae+/76tAxrwi4hcgtK6A/A2ksH/rwD/wzl3rhC0mXnAzwP/HfgN4GdSOqeIiKTka8fHueeJCWqtNuVcluddOchNOzapvr+IyAaU1m/o7wY+65z7gwt3dMPAu8zsO4FXoQAgInLJ+OeHTvKPD57g4GiVqUab2IFn8Lf3Zdm7pcKzdlYYLAWMjtRU319EZINIKwBsAz58kTb3cvGFwkREZJV85F8P84l7DnNsssVMFJPPemQzRjN2TIw1ODXV4uiZKl42Synrqb6/iMgGkVYAmAJ2X6TNrm47ERFZY//80Ek+cc9hDo01KQYelw8UyOWfGty3ZlqcqrY5NNZkMD9DIfCZnIk4NFJVfX8RkXUurQDwBeA2M/t/nHNfunCnmX0L8DrgH1M6n4iILMM/PniCY5MtioHH7i3lp+3P5XPszuc4Mlqj1nYMlAL29fscHmuqvr+IyDqXVgD4HZLnAO42s48CnyOpArSNZNrPDwAd4HdTOp+IiCzR146Pc3C0ykwUc/lAYcG22ypZHjvTJHIdXnrNVh4fb3BwpKr6/iIi61haKwHfZ2a3AR8E3gD84KzdBowDb3TO3ZvG+UREZOnueWKCqUabfNY7b9rPXHL5HPlsyFSjTdvg9tfcxCOnJ1XfX0RkHUutTptz7h/MbDfwGuAWoJ9kzv/9wB3OuXpa5xIRkaWrtZJqP9mMLap9NmPELvkcoPr+IiLrXKqFmruD/I90f0REZA3N9019OZfFM2jGblHHaXccBd8o57Ir3GMREVkNWqlFRGSD+dJjo3z24VPnzdX3zBgsBewdrrBnU4H+YpaJsQatmdaC04BaMy1m2jHb+nI878rBVbwKERFZKQoAIiIbyN/f/yR33HeUw2NN6u2YYuAReBlmopjRkRrHJ5ocHSrgZTLkfY9T1Ta7FwgAp6pt8r7H3i0VbtqxaRWvREREVooCgIjIBvGlx0a5476jPHK6Tjnvc+NQfs56/Y+crjOQz1DxHeOtDkdGa2yrZOdcB6ARxuwZKvDdz7psLS5JRERWgAKAiMgG8dmHT3F4rEk577NnuPK0/UEux57hHIdGqjSjDsODZQbaEccmWzx2pkk+G5LNGO2OY6Ydk/c99gwVeO3zruA7b9i+BlckIiIrQQFARGQDeOT0JAdHqtTbMTcO5Rdsu7M/4Oun6mS9DC+/4TL+/ckqB0erTDWS6kAF39jWl2Pvlgrf/azLNPgXEdlgFABERDaArx2bYqIeJnP+cwvX9g9yOYrBDBP1kHIhxx/9wDV87fg49zwxQa3VppzL8rwrBzXnX0Rkg0olAJjZncAXnXNvS+N4IiLyzNRbEbFzBF5mUe0DL0PsHPVWBMBNOzZpwC8i0iPSugPwfODLKR1LRETmcXhsmkdP1mi0Y4pZj2u2l7liqI9SzsczYyaKF3WcMO5QynqUcroRLCLSa9L6zf8YcHlKxxIRkQs8cGSC/Y+NcGikxli9da62/1Apx57hMrs3FRgsBYyO1AhbrQWnAYWtFo0wZudAgZsu71/FqxARkUtBWgHgfwH/zcx2OeeOpnRMEREBPnfgFJ968DgHRxtUw4hKzifwM8y0Y05Vpzk63mDvliKB51HKejw5FbJneP4A8ORUSCnrsXe4wr6tA6t4JSIicilIKwB8Evgu4Itm9vvAV4FTwNPWmVdAEBFZvAeOTPCpB4/z0IkqfcUsNw/3EWSz5/aH7TZHJ2Z46ESVoVKWgZxxuh5xaKTKzv5gznUAajMR+7aWeNn129bikkREZI2lFQAOkQz2DXj3Au1ciucUEdnw9j82wsHRBn3FLFfNVds/m+Wq4SyPj1Sph93a/uWIw2NNvn6qTjGYIfAyhHGHRhhTynrs21rie2/ZxQuu3rIGVyQiImstrcH4XzLHt/0iIrJ0h8emOTRSoxpG3Dzct2DbXYN57n9yml1+ke+6fpivHa9ycKTKRD0kdo5S1mPnQIG9wxVedv02Df5FRHpYKgHAOfejaRxHRESe8ujJ5IHfSs4/b9rPXIJslkrOT9rnA25/zU08cnqSrx2bot6KKOV8brq8X3P+RURE03FERC5VjXac1Pb3F1nb309q+zfaSSnQfVsHNOAXEZGnST0AmNm1wHVA2Tn3obSPLyLSK4pZL6nt315kbf+oQynwKGa9Fe6ZiIisZ4v7WmkRzOw5ZnYP8BDwceCDs/a9xMwaZvbqZZ5jyMx+3Mz+1sweN7OmmU2Z2RfM7MfMbM7rMbMXmNmnzGy8248HzewtZqb/JUVkzT18coIPf/kJ/uzuR/nwl5/g4ZMTAFyzvcxQKUe1FRG22wseI2y3qbYihko5rtleXo1ui4jIOpXKHQAzuwa4C/BIqgBdA7xiVpP9wDhwG0nJ0KV6HfBe4CTwOeAosBX4PpK1CF5hZq9zzp17INnMXgN8ApgBPtbtx6uBPwJe2D2miMiqu/sbp/n0109ycKTKZD0kduAZ3HFfwN7hCq+4cTt7hsscHW9wdGKGq4bnfw7g6MQMlcBnz3CyMrCIiMh80poC9HYgAJ7rnDtgZm9nVgBwzjkz+1fgm5Z5nkeB7wH+0TnXObvRzH4N+DfgtSRh4BPd7X3A+4EYuNU5d093+9uAO4HbzOz1zrmPLrNfIiLPyMe/epS/ufcIR8ZnaLZjCoFHkDEasWNstM6JyRmOnqlyyxVD7N1S5KETVR4fqbJrMD/nOgDTjTY3XFbhxVcPr+FViYjIepBWAPgO4G+ccwcWaHOUZLGwJXPO3TnP9lNm9j7gd4Bb6QYAkjsOW4C/PDv477afMbPfAP4F+ClAAUBEVs3d3zjN39x7hMdGGpRzHldsKj5twa4TUyGPjTQA+JYrNwFwcLTB/U9On1sJOIw6VFsRlcDnhssqvPJZO3jO7sE1uSYREVk/0goAA8CTF2mTIblLsFLOTpCNZm17aff1M3O03w80gBeYWc4511rBvomInPPpr5/kyPhMMvifa3GvXI4rhnMcHqlyZHyGXZvbvOH5e9j/2AiHRpLSoLFzlAKPXYNF9gyXefHVwxr8i4jIoqQVAEaAqy7S5gbgWErnO4+Z+cAPd9/OHuzv674+euFnnHORmT3R7dceYKG7FyIiqXj45AQHR6o02zFXbCou2Pay/oADpxscHKkSBPBz37mPw2PTPHqyRqMdU8x6XLNdc/5FROSZSSsA3An8gJntc849cuFOM/smkmlCf5rS+S70TuBG4FPOuf9/1vb+7uvUPJ87u/2ihbLN7N55dl27qB6KiAD3H5lksh4mc/5nTfuZS5DLUQhaTNZD7j8yyfXbB7liqE8DfhERWZa0yoD+HsnUm/1m9lPAZQBmdkP3/SeBKvCulM53jpn9HPCLwDeAH3qmH+++ugVbiYikpN5qEzsIMnbxxiTtYpd8TkREJA2p3AFwzj1iZq8F/hr4k+5mAx7svk4C3+ecO5rG+c4yszeTlB19GPgO59z4BU3OfsPfz9z6Lmg3L+fcc+fpw73ALRfvrYj0msdHpzhwfJp6GFMKPK7b0Ucpl8UzaMSL+94h7DiKvlHKzV8CVERE5JlIbSVg59xnzOxK4EeA5wNDJAPrLwMfmGNwvixm9haSWv5fJxn8j8zR7BHgeSTrEpw3haf73MCVJHcuDqXZNxHpbV89NMad3zjNwZEq4/WQ2Dk8MzaVAipFHy/jaIYxYau14DSgsNWiGcZc1p/n5t0XnakoIiKyKKkFAADn3CTJN/LvTvO4FzKzXyGZ9/8A8F3OuTPzNL0TeAPwcpK7E7O9GCgC+1UBSETS8pmvneCTDxzj0JkmtTCinPMJvAwzUczp01XKgc90K8Y5x4mpkCuG5w8AJ6ZCClmPvcMVrt+uCj8iIpKOVAPAaugu4vUOkm/0X3aROwsfB34feL2Z/fGshcDywG9327x3JfsrIr3jq4fG+OQDxzhwskalkOXZmysEwVPVj8Mw5Nhki3Y7Io5grB7CSJXL+oM51wGotWKuHi7yihu3r8XliIjIBpVqADCzNwBvBG4mmV8/DdwP/Llz7sMpHP9HSAb/MfB54OfMnvYg3WHn3AcBnHPTZvYTJEHgLjP7KDBOsprwvu72jy23XyIiAHd+4zSHzjSpFLLsnau+fxCwdzgJBCen6tDpEMaOA6cbFIIWQcYIO8n0oELW4+rhIt/33N285Nqtq30pIiKygaUSAMwsSzKYfhXJQ78RMEryHMC3A7ea2fcDtznnllPK4sruqwe8ZZ42dwMfPPvGOXeHmb0E+HXgtUAeeBz4BeA9zjlVABKRZXt8dIqDI1VqYcSzNz998D/b5QM5xhshQ0WPy/pKjNaTUp+xg6JvXNafZ+9whVfcuF2DfxERSV1adwDeCrya5IHftwKfd851zCxDMtf+90jCwa/w1NSbZ8w5dztw+xI+90XglUs9r4jIxRw4Ps14PUzm/AcLL3oeBAHlnI+f8XjFs7ezd2uZ+49MUm+1KeWy3Lx7QHP+RURkxaQVAH6Y5Fv1W51z4dmNzrkOydSbW0mq9fwoywgAIiKXqnoYEztH4C1ueZXAyxA7Rz2MuX77oAb8IiKyatIKADuBP549+J/NOdcys78D3pzS+URE1sThsWkePVmj0Y4pZj2u2V7miqE+SoGHZ8ZMFC/qOGHcoZT1KAXeCvdYRETkfGkFgBPAxVapyXbbiYisOw8cmWD/YyMcGqkxVm+dq+0/VMqxZ7jM3s0FNpUCTp+uEobhgtOAwjCk1oq4fKDAdTv65m0nIiKyEtIKAB8BftTMftM5N33hTjMbAG4D/ndK5xMRWTWfO3CKTz14nIOjDaphRCXnE/gZZtoxp6rTHB1vcGxLkUzGKAc+xyZb56r9zOXYZIty4LN3uMJVW+ZbqFxERGRlpBUA3gHcCPybmb0D2A+cBrYCLwHeBvwb8FspnU9EZFU8cGSCTz14nIdOVOkrZrl5uI8g+9QNz7Dd5ujEDA+dqLKlnKWvkGF0us3BkSqXD+TmXAeg2mxz3fYyL1WFHxERWQNLCgBm1gHmKp9pwIfm2X410FzqOUVE1sL+x0Y4ONqgr5jlqrlq+2ezXDWc5fGRKtVWh+39BTaXchw60+TfT1TPrQQcxh1qrYhy4HPd9jKvfs7lfNOeoTW4IhER6XVLHYzvZ+4AICKyYRwem+bQSI1qGHHz8MJz9XcN5rn/yWl2eRm+47rtPHxymoMjVcbrIbFzlLIelw8U2Dtc4aXXbtXgX0RE1sySAoBz7taU+yEicsl59GTywG8l55837WcuQTZLJeczVm+Ry2b4lVdez+OjUxw4Pk09jCkFHtft6NOcf/k/7d15mFxXee/771tTV/UkqQdNLVmDsWzZGFt4wj4K2MYYcDAeOYeThAQu+JKEhyHAzUAS7HC4kMBlxrmXMPmQwIWDPGKM4ykOGIMt2TI2HiSjWWoNPUhdPdRc6/yxdsutVk9SV1d1V/0+z1NPqfe49upW1Xr3XutdIiIVp+44IiLjGMoFuf0jU8ztH/G5/YdyPhXoq9rnqcEvIiKzjgIAEal5j7y4n4deOEB/OkdTPMoVZy7m8rVLqI8Guf1zU8ztny/SEAtTH1VufxERmb1KGgCY2dXAufiJwcZ6Xu6cc+8t5TlFRE7Wtx/dwh2b97O3d5BUzg9sMuCnz3SyrKWBN5zWQmtDHQf6k2RzuQm7AWVzOfozeU5ZUM+aJY1luwYREZETVZIAwMxWAPcCZ+K/P8fjAAUAIlJxn7r7We58ag99WSgCoeBVAPpy0H9wkM7Dg5zS1khTLMLuw2letXD8AGD34TRNsQirF/qZgUVERGarUj0B+CpwFvAd4HvAPiBfomOLiJTUtx/dwp1P7eFw1n8INkchkXglX38qlWUgB4ezkOkcYFV7lHQuxu8O9XPKgviY8wAkh3KctbSJ15+2sAJXJCIiMnWlCgAuB/7dOfe+Eh1PRGTG3LF5P31B47+9+fgZexOJGIkEdCWzpIFkFl63uoltXUNs3ps8OhNwNl+kP5OnKRbhrKVNXPWaDs5dsaDs1yMiInIiShUA5IDnSnQsEZEZ88iLvs9/EX/nfyKNUTiSg+RQjjVtTSxvbWT7IZ8atOAcDbEwpyyoZ/XCRl5/2kI1/kVEZE4oVQDwS+DVJTqWiMiMeeiFA6Ryvr//yG4/Y0kkYiRzWVI52HFkkM/csI6dPUm27h9gKFegPhpmzRL1+RcRkbmlVAHAJ4FfmNk7nXM/LNExRURKrj+dw+EDgKkI4bMX9KdzAKxsbVaDX0RE5rSSBADOuc1m9kbgp2b2fuBpoG/sTd3/KMU5RUQm8uSOLh7b2n00t//6NW1cuKqdpngUw2f7mYoi/oOyKT5JfyEREZE5olRpQOcBnwVagDcEr7E4QAGAiMyY2zft4u7NnezsTtKfyVN0EDK46+ndrGxrZnV7PYmoT/WZSmUn7AaUSmUpAokoXHHm4vJdhIiIyAwqVRegLwGXAg8B/wp0ojSgIlJmtz68lQ0bd3BwIE+uALEIhA2yRdifzNM92MueniSRCIRyMJCDRGL84w0EYwWWtTRw+dolZbsOERGRmVSqAOBtwOPOuStLdDwRkRNy+6ZdbNi4g85knroILGoME4/Hj65Pp9P0DBXoTOaJ4D/8svhUn43jzAOQBxbE4Pp1avyLiEj1KFUAkAAeL9GxRERO2N2bOzk44Bv/HS0Nx62Px+N0xGFf7yD5IixIhMnmCvRlg1SfuSwhfJ//4ZmBF8TguvOW895LTy/z1YiIiMycUgUAm4HVJTqWiMgJeXJHFzu7k+QK/s7/RFrrw+ztK1AXMd58xiKe2jvA3t5BUjk/SCmC7/O/rKWB69ctUeNfRESqTqkCgP8B3Gtm651zj5XomCIiU/LY1m76M3liEY7p9jOWeDxObHCQ/kye+c0N/PQvzueRF/fz0AsHjmYMuuLMxerzLyIiVatUAcAS4F7gETP7AfAUY6cBxTn3vRKdU0QE8Dn6i84P+J2KsEHRvZLb//K1S9TgFxGRmlGqAOA2/NNzA/44eLlR21iwTAGAiJyU8e7UN8WjhIJsP1NRcBALKbe/iIjUplIFAO8p0XFERI7z7Ue3cMfm/cf01Tfgp890sqylgdee0kRTXYT9yTzpdHrCbkDpdJpsHlrrI6xf01a2axAREZktSjUT8P8sxXFEREb71N3PcudTe+jLvpKdJ4SfybcvB/0HB+k8PEgsGiIahp6hAh0TDAPoGSoQDcPKtmYuXNVenosQERGZRUr1BEBEpOS+/egW7nxqD4ez/sOqeZx8/YezEMsWqTPIFH2qz9b6secByORhaXOEa9YtrcAViYiIVJ4CABGZte7YvJ++oPHf3hw7bn0iESOR8JN55YGmBLTFIhwcyLO3r0BscJCw+T7/2TxEw77xf+MFq7jh/BVlvx4REZHZoCQBgJltn+Kmzjl3ainOKSLV7ZEXfZ//Iv7O/0Qao34yr3wOLj1rIdt60+zsTtKfyVMMBvy21kdY2dbMNeuWqvEvIiI1rVRPAEIcn/UHYB4wP/h3J5Ar0flEpMo99MIBUjn/4TKy289YEokYyVyWVA4ywPduupgnd3T5+QGCjEHr17Spz7+IiAilGwS8crx1ZvYq4KtAA/DmUpxPRKpffzqHwwcAUzF8F2I4t/+Fq9rV4BcRERnDjI8BcM79zsyuB34L3Az8zUyfU0Tmlg0bd3Hfc50MZPI01kW46uylNMWjGD7bz1QU8R9oyu0vIiIysbIMAnbOpc3sQeC/owBARAKfvfc57tq8n0ODuWP6EP7H1l4ao5ANfk6lshN2A0qlshSBRBSuOHPxTBZZRERkzitnFqA8oG9mEQHgz//1Se5/vouxJu91QP+IEUMDOUgkxj/WQHf+B4wAACAASURBVDBWYFlLA5evXVLikoqIiFSXsgQAZtYGXAfsKcf5RGR2++y9zx3T+DegfkTPnaHcsVkF8vhUn43jzAOQBxbE4Pp1avyLiIhMplRpQD85wfGXA9fgMwKp+4+IcNfm/Ucb/w1jdNkfDgYGRzwFKOJTfSZzWULBz8MzAy+IwXXnLee9l54+k8UWERGpCqV6AnDLJOuTwKedc58r0flEZI7asHEXh4KWvU2yrfHKk4DWOGQLkAqeDkTwff6XtTRw/bolavyLiIhMUakCgMvGWV4EDgMvOefyJTqXiMxh9z3XebRRXz9Jwp766CtPAc4+pYU/unglD71w4Ghu/yvOXKw+/yIiIieoVPMA/GcpjiMi1W8gc3L3AgYyeS5fu0QNfhERkWkqZxYgEakhDz7fyYPP7z96t/5NZy3hTWctpbHu5D52TnY/EREROdZJf6Oa2VQn6DyGc26srH8iUiW+8chL3LF5P/t6h0gXfH99A+77zQE6WrawoiV8tG//UG7ibkBDQfcfA646e+mMl11ERKQWTOeWWm7yTY4zPHZPRKrQJ+94hrue3kdyRC+fEH4234ECbOkaYv9hiAEZjk31OZbh9Qsbotx4wYqZKLKIiEjNmU5jfA+Tf38PawRap3EuEZnlvvHIS0cb/yGgIQyJxCu391OpHIMFjgkOwA/ynWgegBBwrfL7i4iIlMxJBwDOuZWTbWNmUeCDwN8Gi3ae7PlEZHa7Y/P+o43/tsbj+/UkElESQPdAjiIQB7L4VGGOY3P+DwsBbzmrnb9529kzWHIREZHaclL9+KfCzN4BvAh8Hn+D7y+BtTN1PhGpnAef72Rf7xDg7/xPZHh9JAyXr57HoobocfMBGLCoIcpN60/hn991YcnLKyIiUstK3h/fzC4BvgBcCOSBrwKfcs4dLvW5RGR2ePD5/aQL/t8ju/2MJZGI0j+QI12AlvkJnvg/17Nh4y7ue66TgUyexroIV529VH3+RUREZkjJAgAzexXwj8B1+Bt4G4C/ds5tL9U5RGR26k/ncEz9kWII3+2nP+37/dx4wQo1+EVERMpk2gGAmbUANwPvxyf3+BXwMefcr6d7bBGZXZ7Z08MT23oZyORorIty0aktnLu8laa478ZTmOJxivgPn6b4JFMBi4iISMlNZx6AGPAR4G+AecA2/B3/20tUNhGZJX727D5+8ptOtnclSabyFByEDe58ejer25vpmB8nHvapPlOp3ITdgFIpf9c/HoY3naXsPiIiIuU2nScAW4BTgF58IHCrc26qNwBFZI647Rfb2bBpB/v6smQKReoiIaIhI1VwHDmc5mAyS8e8GHUxGEjBYAESExxvMPiU6Gip501naXIvERGRcptOALCCVyb5/DjwcbPRuTyO45xz6ugrMkf87Nl9bNi0g12H0ySiYTrm1RGPx4+uT6fTHBrIs+twmhgQxncD6h7IjTsPQBFojsD1yu0vIiJSEdMdA2BAS/ASkSrzk990sq8vSyIa5pS2xuPWx+NxTonD7u4BcgXH4qYI/aksyTz0F6B/IEcI3+gf1hyBa1/bwfsvP6Ns1yEiIiKvmM5EYDM2h4CIVN4ze3rY3pUkUyjSMa9uwm0XNkbY3pthUXOIy85YzMadSfb1DpEu+MeEEXyf/46Weq5ft0SNfxERkQoq+TwAIlIdntjWSzKVpy4SOqbbz1ji8Th1kRzJVJ7lrc18+obzePD5Th58fj/96RxN8ShvOmuJ+vyLiIjMAgoARGRMA5kcBQfR0KRjewC/XcH5/QDedNZSNfhFRERmIQUAIjXuyR1dPLa1++id+vVr2rhwVTuNdVHCBqmCm9JxckVHImI01im3v4iIyGymAECkRt2+aRd3b+5kZ3eS/kyeooOQwV1P72ZlWzPndjTQnIhw5HCadDo9YTegdDpNJl9kUVOMi05VTgAREZHZTAGASA269eGtbNi4g4MDeXIFiEX8xF7ZIuxP5uke7GVPT5JQJExdOMShgTynTDAM4NBAnrpwiNXtzZy7vLV8FyIiIiInTAGASI25fdMuNmzcQWcyT10EFjWGj8vt3zNUoDOZpzHstxnM+VSfCxsjY84DkMoVWLEgztXnqM+/iIjIbKcAQKTG3L25k4MDvmHf0dJw3Pp4PE5HHPb1DpIqQnM8RlssxL6+LNt7M9RFckRDRq7oyOSL1IVDrFgQ58bzV/HW13RU4IpERETkRCgAEKkhT+7oYmd3klzB3/mfSGt9mL19BQrFIlee0cFL3YNs70qSTOUpOEhEjEVNMVa3N3P1OUvV+BcREZkjFACI1JDHtnbTn8kTizCl3P6xwUH6M3nyIeOf33UBz+zp4YltvQxkcjTWRbno1Bb1+RcREZljFACI1JD+dI6i8wN+pyJsUHR+P4Bzl7eqwS8iIjLHKQAQqULj3alvikcJBdl+pqLgIBaCprhy+4uIiFSLORcAmNmNwBuAc4FzgCbg+865P5pgn0uAvwNeB8SB3wHfAb7mnCvMeKFFyuRnz+7jJ7/pPKavftjgzqd3s7q9mdPbGmiqi7A/mZ9Sbv9sHlrrI6xf01bGqxAREZGZNOcCAHxD/hxgANgLnDHRxmZ2DXA7kAZ+BPQCVwNfAv4L8I6ZLKxIudz2i+1s2LSDfX1ZMoUidZEQ0ZCRKjiOHE5zMJlld3eSUDhENAw9QwU6JhgG0DNUIBqGlW3NXLiqvXwXIiIiIjNqLgYAf4Fv+P8O/yTgP8bb0MyagW8CBeBS59ymYPnfA48AN5rZO51zP5zxUovMoJ89u48Nm3aw63CaRDRMx7y6MfP17zqcpiECcYPBvE/12Vo/9jwAmTwsbY5wzTrl9hcREakmcy4AcM4dbfCbTTqS8UagHfjecOM/OEbazP4OeBj4M0ABgMxpP/lNJ/v6siSiYU5pazxufTwe55S4n8wrU3C0zIsxL5/n4ECevX0FYoODhM33+c/mIRr2jf8bL1jFDeevqMAViYiIyEyZcwHACbo8eL9/jHU/B4aAS8yszjmXKV+xRErnmT09bO9KkikU6ZhXN+G2CxsjbO/NEA3BlWcv4ZnOQXZ2J+nP5CkGA35b6yOsbGvmmnVL1fgXERGpQtUeAJwevG8dvcI5lzezHcBZwGrgxYkOZGZPjbNqwjEIIjPtiW29JFN56iKhKeX2r4vkSKbyNDQk+N5Nr+HJHV1+foB0jqZ4lPVr2tTnX0REpIpVewAwL3jvG2f98PL5ZSiLyIwYyOQoOIiGppbcPxoyCs7vB3DhqnY1+EVERGpItQcAkxluMbnJNnTOnTfmAfyTgdeWslAi4/nVtkP8fEvX0bv1rz+9nca6KGGDVGHSP2MAckVHImI01im3v4iISC2q9gBg+A7/vHHWN4/aTmRW+tETO7hrcye7upMMZIsUHYQM7n56N/PrY+TyeTJ5ppTbP5MvsqgpxkWntpTxCkRERGS2qPYAYAtwPrAGOKYPv5lFgFVAHthe/qKJTM2XH3iJDRt30D1YJFf0GXrCwWy+BweK9A6lyRUhBBwayHPKBMMADg3kqQuHWN3ezLnLW8t2DSIiIjJ7hCpdgBn2SPD+ljHWvR6oBx5XBiCZrX70xA42bNzBwf4i4RAsaTKWtSRYsiDh35uMcMhPdJEDegcL7O4eIJ1OH3OcdDrN7u4BUrkCHfNiXH2OcvuLiIjUqmoPADYA3cA7zez84YVmFgc+Hfz4/1aiYCJTcdfmTroHi8QisGRB4rjuPfF4nCULEjRE/ICWEJArOLb3Zth2qJ/d3QNsO9TP9t4MuYJjxYI4N56/ire+pqMi1yMiIiKVN+e6AJnZtcC1wY+Lg/eLzey24N/dzrmPAzjnkmZ2Ez4QeNTMfgj0Am/HpwjdAPyoXGUXORG/2naIXd1JckVoa5g4w8+ChJHud9SFYPXCBIPpAslUnoKDRMRY1BRjdXszV5+zVI1/ERGRGjfnAgDgXOBPRi1bHbwAdgEfH17hnLvLzN4A/C1wAxAHfgd8FPiqc25qqVNEyuznW7oYyBaJhplSfv/oUAoLw4Ur23nz2Yt5YlsvA5kcjXVRLjq1RX3+RUREBJiDAYBz7hbglhPc55fAVTNRHpGZ0p/OUXR+wO9UhA2Kzu937vJWNfhFRERkTHMuABCpNt94eCv3PtfJUDZPfSzC285eyvvfuIameJRQkO1nKgoOYiFoiiu/v4iIiIxPAYBIhXz0B5u4/4WDDOVHLs3w3IGX+cp/vMw5HfU0xkIcHChOKb9/rgAtiRCvP12z+oqIiMj4FACIVMA7bv0FG/ckx10/lIdf7RoiAURDcDjlWDLBMIDDKUc0BCvamrn41IWlL7CIiIhUDQUAImX20R9sOq7xHx7x78KIf6cAK0KkCPsPp1iQsGOeBKTTaQ6nHNk8LGoKce065fcXERGRiSkAECmz+184ePTf4THWDy8bDgQcvnHfPVhkf78jOpQibL7Pf67gnxAsagpx4wWr+G8XrZrh0ouIiMhcpwBApIy+8fDWUX3+p2btoiYG8sau7iQD2SLFYMBvSyLEirZmrl23VI1/ERERmRIFACJldO9znUf/Pdbd/5HCvPIU4MBAnp985FJ+te0QP9/SRX86R1M8yutPb1effxERETkhCgBEymgoexK3/0fsd/GpC9XgFxERkWlRACAyA+5/bh8P/LaT/nSepniEK1+9lLec3UF9LAJkTvh4fj8RERGR6VOrQqSEbn3oRe7YvJ/O3hQZ5wfwGvCzZw/x+ZYtLGp6ZdsCE3cDGpkN6G1nK7uPiIiIlIYCAJES+cSPn+buzfsZHDVzrwNSDrb1pDhw+MSPWx+B979xTUnKKCIiIqIAQKQEbn3oxWMa//UGicQr/71SqTxDjuOCg+G7/OPNAwDwljMXlbq4IiIiUsMUAIiUwB0jGv+t9cf/t0okIiSAniAHqOGfDAwb3egfdsHyZr74B+eXsqgiIiJS40KVLoDIXHf/c/vo7E0B/s7/RIbXxw3OWxpljFjBbxeB61+ziB9/4PdKWFIRERERPQEQmbYHfttJJridP7Lbz1gSiQhDQ3kyDla0L+D2D13ANx7eyr3PdTKUzVMfi/C2s5eqz7+IiIjMGAUAItPUn84f051nKlywH/gBvmrwi4iISLkoABCZoid3dPHY1u6js/CuX9PGhavaaYpHjuvTPxkDmuL67yciIiLlpxaIyCRu37SLuzd3srM7SX8mT9FByOCup3ezsq2ZVQti1JlP9ZlK5SfsBpRK+bv+dQZXvlq5/UVERKT8FACITODWh7eyYeMODg7kyRUgFoGwQbYI+5N5ugd72dMToS4KqSwMOUhMcLyh4DHB0pYEbzm7oyzXICIiIjKSAgCRcdy+aRcbNu6gM5mnLgKLGsPE4/Gj69PpND1DBTqTeaLuldSePUP5cecBAGgIwfXrlpT3YkREREQCCgBExnH35k4ODvjGf0dLw3Hr4/E4HXHY1ztIvghtMRhK+8m+hhwMBTn/R2oIwTXrlvCBK9aW4xJEREREjqMAQGQMT+7oYmd3klzB3/mfSGt9mL19BRLRCJetaeGpPf109qbIOP9EwPB9/pe2JLhejX8RERGpMAUAImN4bGs3/Zk8sQjHdPsZSzweJzY4SH8mz+IFjTz8zgu4/7l9PPDbTvrTeZriEa589VL1+RcREZFZQQGAyBj60zmKzg/4nYqwQdH5/QDecnaHGvwiIiIyKykAkJr22MsHefSlQ0dz+196xkLWn7aIpniUUJDtZyoKDmIhaIpHZ7bAIiIiItOkAEBq0vcf38admzvZ3Z1kMMfR3P73PL2bU9qaOWdpE011EfYn86TT6Qm7AaXTabJ5aK2PsH5NWxmvQkREROTEKQCQmvP5n73A7Rt30DsEOSBqvvGfK0JXHo7sSbK3J4lFwkTD0DNUoGOCYQA9QwWiYVjZ1syFq9rLdh0iIiIiJ0MBgNSU7z++jds37qBrCKIhWBTnuNz+R9LQNQR1ViAagnTep/psrR97HoBMHpY2R7hmnWb2FRERkdlPAYDUlDs3d9IbNP4Xzz/+tn48HmdxHA4cSZMvQlM8TEvUODiQZ29fgdjgIGHzff6zeYiGfeP/xgtWccP5KypwRSIiIiInRgGA1IzHXj7I7u4kOfyd/4nMj8PBIXDFAm9au4yXDg2xsztJfyZPMRjw21ofYWVbM9esW6rGv4iIiMwZCgCkZjz60iEGc77P/1Ry+0dTaT9AOBTiezddzJM7uvz8AEHGoPVr2tTnX0REROYcBQBSM4Zz+4emmNs/NCq3/4Wr2tXgFxERkTkvVOkCiJTLcG7/opva9sPBgnL7i4iISDXREwCpOo+8uJ+HXjhwtKvOFWcu5vK1S7j0jIXc8/RuuvJMKbd/zsH8KFx6xsIyll5ERERkZikAkKrx7Ue3cMfm/eztHSSVAwcY8NNnOlnW0sD165ZwSlszR/YkOZKGxRMMAziShihwSlsz609bVKYrEBEREZl5CgCkKnzq7me586k99GWhiO/bFgIKQF8O+g8O8vVHfseaxU201Ps8/weOpJk/zjwAuSK018N1yu0vIiIiVUYBgMx53350C3c+tYfDWf8H3RyFRCJ2dH0qlWUgB4ezsPVAP2csagaS9A75VJ/RVPro2ICc83f+2+vhhgtW8YeXnFqpyxIRERGZEQoAZM67Y/N++oLGf3tz7Lj1iUSMRAK6kln6spDMFvjgFWdw5+ZOdncnfapP5ycHmx/13X6uW7dUjX8RERGpSgoAZE575EXf57+Iv/M/kcYoHMnB3t5BliyoZ8MHfo/HXj7Ioy8dOjpg+NIzFqrPv4iIiFQ1BQAypz30wgFSOd/ff2S3n7EkEjGSuSypnN/v8rVLWH/aIjX4RUREpKZoHgCZ0/rTORxT/0MO4bMDDU/uJSIiIlJr9ARA5oyndnXz+Ms9DGRyNNZFueS0VpriUQyf7Wcqivg/ek3uJSIiIrVKAYDMevds3sM9z3SyoytJMp2n4CBscNfTu4lHQzh8wz6Vyk7YDSiVylIEElG44szF5Sq+iIiIyKyiAEBmtX959Hds2LiD/f1ZsgWoi0DYjEzRsbcvSywM+WDbgRwkEuMfayAYK7CspYHL1y4pR/FFREREZh0FADJr3bN5Dxs27mBPX5Z4xFjSFDlu0q6uwTy+V78PBLqSWRrHmQcgDyyIwfXr1PgXERGR2qUAQGate57pZH+/b/wvb208bn08Hmd5HOgZIJl2FPBdgY7kIJnLEgp+Hp4ZeEEMrjtvOe+99PRyXoaIiIjIrKIAQGalp3Z1s6MrSbYAS5om/jNtb4gwlMvRaDAvEaYvXSCV888FIvg+/8taGrh+3RI1/kVERKTmKQCQWenxl3tIpvPURTim289Y4vE4dZEcsXCId1y0irM6mnnohQNHJ/e64szF6vMvIiIiElAAILPSQCYXZPuxKW0fNqPg/H6Xr12iBr+IiIjIOBQASEU9uaOLx7Z2H71bv35NGxeuaqexLkrYIFN0UzpOwTnqQkZjnfL7i4iIiExEAYBUxO2bdnH35k52difpz+QpOggFuf1XtjXzmqWNNMcj7O3Lkk6nJ+wGlE6nyeT9WIBLTmst41WIiIiIzD0KAKTsbn14Kxs27uDgQJ5cAWIRP7FXtgj7k3m6B3vZ05MEQsTC0DWY99l+xtE1mCcWhlXtzZy3oq1s1yEiIiIyFykAkLK6fdMuNmzcQWfSD/Bd1Bg+Lrd/z1CBzmSehgjEQjCUd+zpGaC9Yex5ANJ5x/J5Md5+7tJKXJKIiIjInKIAQMrq7s2dHBzwjf+Olobj1sfjcTrisK93kHQR2htitIZgf3+WXUdy1EVywYBfRyYPsTAsnxfjxgtW8fZ1yytwRSIiIiJziwIAKZsnd3SxsztJruDv/E+ktT7M3r4Crljkyld38NKhQXZ0JUmm8xQc1IWM9oYIq9qbefu5S9X4FxEREZkiBQBSNo9t7aY/kyc2xdz+scFB+jN5QpEw33rPRTy1q5vHX+5hIJOjsS7KJae1qs+/iIiIyAlSACBl05/OUXR+wO9UhA2Kzu8HcN6KNjX4RURERKZJAYCU3JaDR3huTx+DmTwNdRHOXj6P0xfNpykeJRRk+5mKgvODgJviyu0vIiIiUioKAKRkHn+5iwdeOMC2Q/0cHsxScI6wGQsaYpy6sImOphhNdRH2J/NTyu2fzUNrfYT1a3TXX0RERKRUFABISdyzeS93Pb2bnT0pBnMF6mNhYuEQ6XyBrkMD7DucYmVrgngsQjScp2eoQMcEwwB6hgpEw7CyrZkLV7WX70JEREREqpwCAJm2x1/u4q6nd7Pl4CCN8Qivbo0Tq6s7uj6bybC3L8uWg4PUxxz1EejP+lSfrfVjzwOQycPS5gjXrFNufxEREZFSUgAg0/bACwfY2ZOiMR5h9cKm49bH6upYvbCO7Yf6yeWLdLTUkRxKc3Agz96+ArHBQcLm+/xn8xAN+8b/jRes4obzV1TgikRERESqlwIAmZYtB4+w7VA/g7kCr26dOLXnsnkxfntgkI4FCa48o40ndiXZ2Z2kP5OnGAz4ba2PsLKtmWvWLVXjX0RERGQGKACQaXluTx+HB7O+z/+Ibj9jidXVUR9Lc3gwy6KWRr535Vk8uaPLzw+QztEUj7J+TZv6/IuIiIjMIAUAMi2DmTwF54iFQ1PaPhYOUXCOwUwegAtXtavBLyIiIlJGU2u1VQEzW2Zm3zGzTjPLmNlOM/uymS2odNnmsoa6CGEzsoWpJffPFoqEzWioU+wpIiIiUgk1EQCY2anAU8B7gCeBLwHbgQ8DvzKz1goWb047e/k8FjTEGMoWyGYyE26bzWQYyhZY0BDj7OXzylRCERERERmpJgIA4J+BhcCHnHPXOuf+2jl3OT4QOB34vytaujns9EXzOXVhEw3RMHv7shNuu7cvS0M0zKkLmzh90fwylVBERERERqr6AMDMVgNXAjuBW0etvhkYBN5lZg1lLlrVuPLMxaxsTTCQzrP9UP9xTwKymQzbD/UzkM6zsjXBlWcurlBJRURERKQWOmJfHrw/4Jw7pqO6c67fzH6JDxBeBzxc7sJVg0tOa6d7IHN0JuDfHhikPpYmFg6RLRQZyhZoiIY5fVED1772FC45TYN+RURERCqlFgKA04P3reOsfxkfAKxBAcBJe/u6ZbQ11vHACwfYdqifw4NZCs7REA2zbH6CUxc2ceWZi9X4FxEREamwWggAhkeb9o2zfnj5hJ3SzeypcVadcTKFqkaXnNbOJae1s+XgEZ7b08dgJk9DXYSzl89Tn38RERGRWaIWAoDJWPDuKlqKKnL6ovlq8IuIiIjMUrUQAAzf4R8v72TzqO3G5Jw7b6zlwZOB155c0UREREREyqvqswABW4L3NeOsPy14H2+MgIiIiIhI1aiFAOA/gvcrzeyY6zWzJuC/ACng1+UumIiIiIhIuVV9AOCc2wY8AKwEPjBq9T8ADcD3nHODZS6aiIiIiEjZ1cIYAIA/Bx4HvmpmbwReBC4CLsN3/fnbCpZNRERERKRsqv4JABx9CnA+cBu+4f8x4FTgq8DFzrmeypVORERERKR8auUJAM65PcB7Kl0OEREREZFKqoknACIiIiIi4ikAEBERERGpIQoARERERERqiDnnKl2GOc3MehKJRMvatWsrXRQRERERqWIvvvgiqVSq1znXOp3jKACYJjPbATQDOytclHI4I3h/qaKlqG6q45ml+p1Zqt+ZpzqeWarfmac6np6VQNI5t2o6B1EAIFNmZk8BOOfOq3RZqpXqeGapfmeW6nfmqY5nlup35qmOZweNARARERERqSEKAEREREREaogCABERERGRGqIAQERERESkhigAEBERERGpIcoCJCIiIiJSQ/QEQERERESkhigAEBERERGpIQoARERERERqiAIAEREREZEaogBARERERKSGKAAQEREREakhCgBERERERGqIAoAaYGbLzOw7ZtZpZhkz22lmXzazBSd4nJZgv53BcTqD4y6b6XPPdpWoYzNrNbP3mdmdZvY7M0uZWZ+ZPWZm7zWzqvn/Xcm/4VH7v8vMXPB638ldzexT6fo1s98zs9vNbH+w334ze8DMrprelc0eFf4c/v2gPvcGnxPbzezHZnbx9K9sdihF/ZrZm8zsC2b2sJn1Bv/PH5vCfmea2f8ys0NmljazLWb2D2aWmN5VzS6VqGMz6zCzD5rZz0b8zfeY2YNmdn1prqxGOef0quIXcCpwEHDAXcA/Ao8EP78EtE7xOK3AlmC/h4Pj3BX8fBBYPVPnnu2vStUx8KfBuk7g+8Bnge8AR4LlGwgm+5vLr0r+DY/af3lQt/3BPu+rdN1UQ/0Cfxds0wV8F/gM8C/ARuBzla6fuV7HwD8F67uBbwX7bACyQBH4o0rXzyyq3+G6TAHPBf9+bJJ9LgIGg/r8QVDfG4f3BeoqXT9zuY6D8zhge/D58NmgntPB8i9Wum7m6qviBdBrhn/B8O/Bf5IPjlr+xWD5/zfF43xjrP9swIeC5ffP1Lln+6tSdQxcDlwNhEYtXwzsDva5odL1M1frd9Q2BjwEbAM+T3UFAJX8jHhHsO5BoGmM9dFK189cruPgs6AAHAAWjlp32XDDqtL1M4vq92LgLCAMrGTyxmkYeCHY7u0jlofwQZYD/rrS9TPH6/h64A1jLF8L9AX7n1fp+pmLr4oXQK8Z/OXC6uA/xw6ObyQ2AQP4OxcNkxynARgKtm8atS4UHN8x4u5Tqc4921+VrONJjveJYPuvVbqOqqF+gQ/j75a+HriFKgkAKvwZEcLf1RsE2itdF1VaxxcFy+4e55hJoL/SdTQb6neM465k8sbp5cE2/zlBuXYyx5/EVrKOJ9n/X4L9P1bpOpqLr6rpIyxjujx4f8A5Vxy5wjnXD/wSqAdeN8lxLgYSwC+D/UYepwg8EPx42Qyce7arZB1PJBe856e4/WxVFo+XVwAAEL1JREFU8fo1s7X4x9Bfcc79/ISvYHarZP1eAqwC7gMOB/3U/8rMPlxNfdOpbB2/jO+acqGZtY3cx8xej2+8PTT1S5mVKvldM3zu+0evcM5tB7YCK/AN6Llstn6fV8v3XEUoAKhupwfvW8dZ/3LwvmYGjlOqc892lazjMZlZBPjj4MfjvpjmmIrWb1CX/4rvUvWJSc4xF1Wyfi8I3g8CTwP34gOtLwOPm9l/mln7JOedCypWx865XuCvgEXAC2b2L2b2WTP7X/iA4UHg/ZOcd7ar5HeNvue8sl+nmTUDN+CfADwwyeYyhkilCyAzal7w3jfO+uHl82fgOKU692xXyToezz8Crwbuc879+xS2n80qXb+fBNYB651zqUnOMRdVsn4XBu9/iu9acAXwBP6O6ReANwM/Bi6d5NyzXUX/hp1zXzaznfgEATeNWPU74Dbn3KFJzjvbVfK7Rt9zxy4vy3WameEHtC8C/tk592I5zltt9ASgtlnw7ipwnFKde7Yrax2b2YeAj+GzMrxrmuecC2asfs3sQvxd/y845341zePPVTP59xsese5G59zDzrkB59zzwHXAXuANVdYdaCwz+hlhZn+JH5B6Gz6TSwNwHn78xffN7HPTPO9sV8nvGn3PzYwv4BMI/AL4aJnOWXUUAFS34ah83jjrm0dtV8rjlOrcs10l6/gYZvYB4Cv4rBSXBY//57qK1O+Irj9bgb+fvJhzViX/fg8H79udc78ZuXHwtGX46dWFk5x7tqtYHZvZpfi0lPc45z7qnNvunBtyzj2ND7L2AR8zs7ncR72S3zX6nvPKdp1m9nngL4CfA1c55zIzfc5qpQCgum0J3sfrl3da8D5ev77pHKdU557tKlnHR5nZR4CvA7/FN/4PTHK+uaJS9dsYbLsWSI+Y/MsBNwfbfDNY9uVJzj2bzYbPiCPj7DMcIMz1yZQqWcdvC97/Y/TGzrkh4El8O2DdJOeezSr5XaPvOa8s12lmXwI+jv97fqtzbmAmz1f1Kp2GSK+Ze+Ef906WumuIydPPNXLi6edKcu7Z/qpkHY9Y/1fBus1AW6XrpBrqF9/o/NY4r6eDbX8R/PzfKl1Pc61+g+Vt+CweR4DYGMf8WbDPOytdT3O4jr8WLPvUOMf8RbD+6krXU6Xrd4zjrkRpQCtex8F2BtzKKwN+E5Wuk2p4VbwAes3wL/gEJ+8AzgDOGOM4wxPQfGHUck0EVtk6/vtg3SagpdJ1UW31O055bqFK5gGodP0C/xas+/So5W/Cz7twBJhf6Tqaq3UM/Ndg+QGgY9S6twZ1nGKOz8peqvodtc1KpjcR2I+p4YnASljHBnwz2O4+IF7puqiWlwUVLFXKzE4FHsdn3LgbeBE/Ocxl+Md1lzjnekZs7wCcczbqOK3Bcdbgp/9+Et894hrgUHCcbdM591xVqTo2sz/BD+wr4O/0jdX/cqdz7rYSXGbFVPJveJzy3ILvBnSTc+5b07y8iqvwZ8RCfA7xV+HvRj+JzwJ0Hf4L/w+ccz8u7RWXXwU/I0L4htsVQD9wJz4YWIvvHmTAR5xzXyn5RZdRCet3PfC+4MdGfJrJQ/inUQT7vHvUPhfhfxdR/GDr3cAbgfPxf9tvdFXQT71SdWxmN+NvuqTwKYKzYxTvGefcXdO5vppU6QhEr5l/AcuB7wL78f95duEHix53xxj/pevGOU5LsN+u4Dj78anllpXi3HP5VYk65pU70RO9Hq103czV+p2gLMP1XhVPACpdv8E+X8R3L8gCPfgGxusqXS/VUMf4hulHgF/jZ/7N4xtc9wJXVrpeZlP9Au+e7DN1nHOfib/j3w1k8A3if6DKuqpUoo7xN7km+567rdJ1MxdfegIgIiIiIlJDlAVIRERERKSGKAAQEREREakhCgBERERERGqIAgARERERkRqiAEBEREREpIYoABARERERqSEKAEREREREaogCABERERGRGqIAQERERESkhigAEBERERGpIQoARERERERqiAIAERGRaTKzd5uZM7N3j1q+08x2nuCxbgmOdWkJiygicpQCABGpWUEja+QrY2ZdZva0mX3LzN5qZuFKl3O2M7MzzOxrZvZbM+szs6yZdZrZT83svWYWr0CZnJk9Wu7zTsV4wYKISLlEKl0AEZFZ4B+C9zAwHzgLeBfwXmCTmf2hc25rpQo3m5nZJ4Gb8TeUfg38T2AAWARcCnwL+DPg/AoVsdLeeBL7fB34IbC7xGUREQEUAIiI4Jy7ZfQyM1sEfA14B/CQmZ3vnDtU7rLNZmb2CXzwtAd4h3PuiTG2eRvwsXKXbbZwzm07iX26ge4ZKI6ICKAuQCIiY3LOHQTeCTwKLAc+MXobM2sxs8+a2Ytmlgq6vzxsZleOdUwzm2dmXzazvWaWNrOXzOyjZrY66BJy26jtbwuWrzazD5rZs8F5Hh213ZvN7D4z6w66MW0zs8+b2fxxyrHMzL5uZtuD7XvM7B4zu2Cq9WNmK4FbgBxw1ViNfwDn3L3AW8bY/yIz22BmB4IuQ3vM7BtmtnSMbR8N6iFiZp8ws5eDcu8xs38ys9iIbd9tZi748Q2junjdMlz24fo2szVm9iMzO2RmxeF+92Z2npl9xcx+Y2a9we/rZTP7gpktOIF6OmYMQPC7+27w43dHlW9lsM24YwCC7la3BdeeMbODZvYDMzt9jG0Xmdn/Y2ZbzGzQzI4E/77NzFZP9RpEpProCYCIyDicc0Uz+zS+K8t/N7O/cM45ADNbgQ8OVgK/AO4HGoC3Afeb2fudc98cPlbQD/4R4LXAZuD7wDzgb4Hfm6QoXwm2+SlwH1AYcdxP4u/C9wL3AoeA1wAfB64ys4udc8kR278WeABoAf4duANoA64FHjOz65xz902het4DRIEfOud+O9GGzrnMyJ/N7D3AN4EMcA/+CcJpwPuAq83sdc65sbq//CCoh58BSeAq4C+BhUF5AJ4J6uNmYBdw24j9Hx11vFOBJ4Ct+N9HIjguwE3AdcB/Ag/hu4e9Fvgo8FYzu8g51z/RdY/jNuAIcA1wd1DeYUcm2tHM3oL/fUWBnwC/A5YB1wO/b2aXOeeeDratB34ZXOODwfYGrAjOvQHYfhLlF5Fq4JzTSy+99KrJF+D8x+CE29Th73I7YNWI5Y8CReCdo7afj2/UpYBFI5b/fXCM/x+wEcuXA13ButtGHeu2YPm+kecesf6yYP3jwPxR694drPvSiGURfKMxDbxh1PZLg/PsB+qmUHcPB8d/3wnW+RogG5SjY9S6y/HBzZ2jlj8anOspoGXE8obgOAVg8Ri/20fHKcPK4d898JlxtlkBhMdY/t5gv78ap77fPWr5TmDnVLYdsf6WYP2lI5YtAA7juwadOWr7s/DjLp4esezq0b//EetiQFO5/p/ppZdes++lLkAiIhNw/u51T/BjO4CZnQO8AbjdOffDUdsfwd99jgM3jFj1J/iA4W+cc27E9nuAL09SjM8553aMsfxDwftNwXlHluM2fCDyhyMW/z7+jvDXnHP/OWr7TuBzwGKmNnB1SfC+dwrbjvRn+DvYH3bO7RtVhkfwTwSuNrOmMfb9K+dc74jtB/F37kOc3CDjg7wyAPwYzrldzrnCGKu+g39K8OaTON90/DE+uLzZOffCyBXOuefxT1TWmdmZo/ZLjT6Qcy7rTu7phYhUCXUBEhGZnAXvww33i4P3ecP9ykdpD97XAphZM77hvcc5t3OM7R+b5PxPjrP8YvzTiXeY2TvGWB8D2s2s1TnXM6LcK8Yp92kjyj1ZN6DRdTJVw2V4wzhjDhbiu9uswd/xH2nTGNvvCd6n3C9/hN+4Ud2ThplZFHg/fhzImfjuWiNvmnWcxPmmY7jezhnnd7cmeF8LvIDvurQP+Oug29d9+C5Bz4wT2IhIDVEAICIygaDvfkvwY1fw3hq8vyl4jacxeG8O3g+Os914y4cdGGd5K/5z/OZJ9m/EP8UYLvdYwcLo7SfTCZyB74N+IobL8H+daBlGP+UI5IP3k5mvYbx6BfgRfgzAdnxf/QP4MQsAH8F3DSun4Xq7aZLtGgGcc0kzex3+CcfbeeWJRbeZ/TPwaedcbkZKKiKzngIAEZGJrcd/Vh4ccfe+L3j/sHPuq1M4xvDA0kXjrB9v+bDx7rL3ASHnXMs468faHuAa59w9U9xnPI/h++y/Efj2Cew3XIZ5bsTg5AoZs17N7Hx84/8hfIaj3Ih1IfzA43IbrrdznHPPTmUH59xe4L1mZvinGJcDHwA+iX+a8fczUVARmf00BkBEZBxBY+9vgx9/MGLVr4P3ybL3AP5uLP5OcsdwqsdR1p9kEX8NLDCzs05ge5hiuSfxXXz3oxvG6Hd+DDMbebe8lGWYSJGTeyoA8Krg/Z4x7pJfiM8WNB3DXXBOpHwnXW/Oe9459zVeeWJ17YkeR0SqhwIAEZExmNlC/Gysl+JnZP3M8Drn3CZ86s/rzez/GGf/s4NjDPse/jP3s8Ed2eHtluO7lJyMLwXv3xwnf35D0A1k2N3ANuADZnbVOOW+OEghOaHgacgt+HEGPw3umo91vLfg03YO+zo+cPiSma0ZY/uYmZUiOOjBZ1g6GTuD90tHLgx+n7eefJGOGh5UfsoJ7PNdfJrQm83swtErzSw0ct4AM3v1OMHm8NOmoRM4t4hUGXUBEpGaN2JQZQifaeUs/F35GH4A7h86PzvrSH+Az+v/bTP7ED6f/BF8n/jXAK/GD9wcnj34c/i7ru8ETjezB/ADS/8r8PNgXfFEyu2ce9jM/hr4LPCymd0H7MD3A1+Bz1T0GMFEXM65nJldj8///1MzexyfKWgI31i+AFiNz/AzaQPROfcZMxseg7AxON4mfErKRcDr8QOLN43Y56UgaPoO8LyZ3Y/Pwx/FN4h/Dz/W4owTqYsxPAy808x+gh9MnAd+7pz7+RT23YgfMHt9cE2PBdfzVmALfvzDdPwKX78fMbMWXhkD8jXnXN9YOzjneszsRuBO4Ndm9jDwPP5v5hT831orPvsUwBXAF4Pyv4T/O1yGnwOgCHx+mtcgInOYAgARkVcG0WaBfvwEUt8DbgcecM4d1zB3zu01s/OAD+LTff4hvkvHAXwWlq8Bz43YPmVmlwGfAm4E/gLfWP8M/mnCtbwyVmDKnHP/ZGa/xKcEXY9v4PXhM8D8C8d2XcI592yQxvSj+EnL3oNvEO7HT1B2Mz7X/FTP/ykz+zHw5/h5Cd6Db4T24IOLfwL+bdQ+/2ZmvwE+FuxzJTCIb1hvwA/Ana4P4/v4vxE/YVgIPyB20gDAOVcws7cDnw72/RC+Pr8VLHthgt0n5Zw7bGY34Ov6Pfj5DMDX05gBQLDfw2Y2PMnbm/HBUhZfb4/g/16H/Ts+vezr8X8Tzfjf8YPAF51zj0/nGkRkbrMR6ahFRKQCzOwmfGP9T51z36h0eUREpLopABARKRMzWxpMuDVy2XJ8d5MlwMrRk2OJiIiUmroAiYiUz+3BBFNP4ccLrMR3w6nHzxCsxr+IiMw4PQEQESkTM/tz4F34gbHz8INlNwNfd87dUcmyiYhI7VAAICIiIiJSQzQPgIiIiIhIDVEAICIiIiJSQxQAiIiIiIjUEAUAIiIiIiI1RAGAiIiIiEgNUQAgIiIiIlJDFACIiIiIiNQQBQAiIiIiIjVEAYCIiIiISA1RACAiIiIiUkMUAIiIiIiI1BAFACIiIiIiNUQBgIiIiIhIDfnfSUlz7GS63msAAAAASUVORK5CYII=\n", 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" ] }, "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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\n", 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" ] }, "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. \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", " If you would like to see @dgerlanc's implementation, see \n", " https://github.com/ericmjl/Network-Analysis-Made-Simple/issues/76\n", " \"\"\"\n", " visited_nodes = set()\n", " queue = [node1]\n", " \n", " for node in queue:\n", " neighbors = list(G.neighbors(node))\n", " if node2 in neighbors:\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": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Path does not exist between nodes 18 and 100000\n" ] } ], "source": [ "def test_path_does_not_exist(G):\n", " g = G.copy() # so that we do not mutate original graph.\n", " g.add_node(100000)\n", " assert not path_exists(18, 100000, g)\n", " \n", "test_path_does_not_exist(G)" ] }, { "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": 14, "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": 14, "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": 15, "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": 15, "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": 16, "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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\n", 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" ] }, "metadata": { "image/png": { "height": 320, "width": 479 } }, "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": 17, "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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\n", 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" ] }, "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": 18, "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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C4MFQEIsRurvD55+rKIsUIs0si4iIU/Dx8aFr166kpKQwe/Zss+OISDH30UcfMXHiREqUKMGyZcvo2rWrUWQPHrT/ol/NmhnjqiiLFCrNLIuIiNPYtWsXTz31FBUrVuTs2bN4eHiYHUlEiqGpU6fy+uuvY7FYWLx4MX379r39gJQU+OwzmDIFYmPzfyJPT2N7qHHjtJiXiAk0sywiIk6jWbNm+Pn5cenSJVasWGF2HBEphmbMmMHrr78OwOeff35nUQaj2I4fDzExsGgR+Pvn7ST+/rB4sfH58eNVlEVMopllERFxKkuWLKF///7Ur1+fyMhILAW9oI6IiM3s2bMZMWIEAHPnzmXIkCG5/3B0NEREGI8DByAuzri32c0NKlSARo3Az8942NZnEBFzqSyLiIhTSUpK4uGHH+bChQts376dZ555xuxIIlIMLFiwgFdeeQWAmTNnMmrUKJMTiUhB02XYIiLiVNzc3Bg2bBgA06dPNzmNiBQHixcv5tVXXwXg008/VVEWKSY0sywiIk7n999/p0qVKqSkpHDq1CmqVKlidiQRKaKWL19Onz59sFqtfPzxx7z55ptmRxKRQqKZZRERcTre3t706NGD1NRUgoODzY4jIkXUV199Rb9+/bBarUyePFlFWaSY0cyyiIg4pX379vHEE09QoUIFzp49S5kyZcyOJCJFyOrVq+nevTs3b97kvffe44MPPjA7kogUMs0si4iIU/L396dp06bExcUREhJidhwRKULWrl1Ljx49uHnzJm+99RaTJk0yO5KImEAzyyIi4rRWrFhBr169qFOnDkeOHNE2UkVRdDTs329stxMZCbGxkJwMrq7g6QkNGxpb7TRurO12xC42bdrECy+8QHJyMq+99hqffPKJ/m4RKaZUlkVExGklJydTtWpVfv/9d7Zs2UJgYKDZkcQeEhJg5UoIDobw8Nx/rkkTGDkSevQAD4+CyydF1tatW3n++edJTExk1KhRzJgxQ0VZpBjTZdgiIuK0XF1dGTFiBAAzZswwOY3ctZQUmDoVfHxg4MC8FWUwjh8wwPj81KnGeCK5tH37djp27EhiYiJDhw5VURYRzSyLiIhzu3DhApUrV+bGjRucOHGCatWqmR1J8iMqyijIe/bYb8ymTWHhQvD1td+YUiT99NNPtGnThmvXrjFo0CDmz59PiRKaUxIp7vS3gIiIODUvLy969uyJ1WolKCjI7DiSHyEh0KCBfYsyGOM1aGCML5KFvXv30q5dO65du0bfvn2ZN2+eirKIAJpZFhGRIuDAgQP4+flRrlw5zp07R9myZc2OJLk1bx4MHVqw57BYYM4cGDKkYM8jTiciIoLAwECuXLnCyy+/zLJly3BxcTE7log4CH1tJiIiTq9Ro0Y0b96c+Ph4lixZYnYcya2QkIIvygBWKwwbphlmuc2hQ4do3bo1V65coWvXrixZskRFWURuo7IsIiJFwpgxYwBjoa/U1FST00iOoqKw9OmDBXL12J7LYTun+8yA9G9YrTB4sHFvtBR7//nPf2jVqhVxcXG88MILLF++nFKlSpkdS0QcjMqyiIgUCS+++CI+Pj78/PPPbN682ew4kp2UFBg4kAcg20fa5k+uwOO5GPY72yNLSUkwaJBWyS7mjh8/TmBgIBcvXqR9+/aEhobi6upqdiwRcUAqyyIiUiSULFmSkSNHAtpGyuF99hns2cMfkO2jhu3w54GKOQx5FRgNlAOyXft6927j/FIs/fLLLwQEBHDhwgVat27NqlWrcHNzMzuWiDgoLfAlIiJFxqVLl/Dx8SExMZGff/6ZGjVq5PwhKVwJCcY+yLGx2R52EGhoe/0d8EIOw/4P8BkwHfgG47Lt/sCizA729ISYGPDwyOxdKaJOnjxJixYtOHfuHM8++yxr166ldOnSZscSEQemmWURESkyKlasSJ8+fQC0jZSjWrkyx6IMsNj2fD/QPodjDwAzgQbAyNxkiI2F0NDcHClFRHR0NAEBAZw7d46nn36aNWvWqCiLSI40syzi7KKjYf9+iIiAyEjjl8DkZHB1NWZPGjYEPz9o3BiqVjU7rUiBO3z4MPXr16ds2bLExMRQvnx5syNJev7+EB6e7SE3gYeAC8A4YFo2x6YCTwARwE9AM6AlOcwsp+XYuzf3ucVpnT17lhYtWnD69GmaNWvGpk2buOeee8yOJSJOoKTZAUQkHxISjNmZ4OAcf+lk06a/XzdpAiNHQo8euvxQiqx69erRsmVLtm3bxqJFixg7dqzZkSRNdHTOf2cBGzCKMhiFNztBwH5gMEZRzrV9+4w8+hKxSDt//jwBAQGcPn2aJk2asGHDBhVlEck1XYYt4kxSUmDqVON+v4EDc/VL523Cw2HAAOPzU6dqRVgpstIK8syZM7WNlCPZvz9Xhy2yPdfDuLQ6K+eAf2As/vVxfvJEROTnU+Ik/vjjDwICAjhx4gSNGjVi06ZNutJERPJEZVnEWURFQfPm8PrrubrfL1uxscY4zZtrz1Epkjp27EiVKlU4efIk69evNzuOpMlFOY0F1tpeD8jh2DHAX8A/yXm17PzmEef03//+l8DAQH7++Wfq1avHDz/8QIUKFcyOJSJORmVZxBmEhECDBrBnj33H3bPHGDckxL7jipjMxcWFUaNGAdpGyqFERuZ4yAogGeM+sd7ZHLcWY9XrphiXYOfLgQP5/aQ4sEuXLtGqVSuOHTtG7dq12bJlCxUr5uvrFBEp5lSWRRzdvHnQpw8kJRXM+ElJ0LevcR6RImTw4MGULl2azZs3c+zYMbPjCORpFex2gFcWx1zDWPXaBQgGLPnNExeX30+Kg4qLi6N169YcPnyYmjVrsnXrVu6//36zY4mIk1JZFnFkISEwdGjBn8dqhWHDNMMsRUqFChXo168fYNy7LA4gOTnbt48DaSsxZLew17+A34BBwGPA1QyPtNUYbqb7WaZbfxTUl5BiiitXrtCmTRsiIyN59NFHCQsLo1KlSmbHEhEnprIs4qiiorD06YMFcvXYnuHjLXP5OQswCYzCPHiw7mGWImX06NEALFmyhDjNIprP1TXbtxfZnj2Bjtkcd8b2PB+4J5PHTtv7Iel+doZMuLnlnFmcwl9//UW7du0IDw/nkUceISwsjAcffNDsWCLi5FSWRRxRSgoMHMgDkO0jbfMnV+DxDEN45vDZ9OuBNkp7kZQEgwZplWwpMmrXrk3r1q25fv06X3zxhdlxxNMzy7dSgWW21z0x/l4rcFrwqUi4du0aHTp0YPfu3Tz88MOEhYVRuXJls2OJSBGgsiziiD77DPbs4Q/I9lHDdvjz3LkS7Dc5fDbtEkcvjHsDb9m92zi/SBExZswYAIKCgkjRF0Hmatgwy7c2A+dtr3PaW3kRxmXVWT1apBsn7WdVMxuoUaPMfipO5Pr163Ts2JEdO3bw0EMPERYWRlXtnS0idqKyLOJoEhJgypQcDzsIHLK9zukXy4xuYKw4C8ZqsyUzHjBlipFDpAho37491atXJzo6mjVr1pgdp3jz88vyrbSFvWoDTQolDNnmEceXmJhI586d+fHHH/H29iYsLIzq1aubHUtEihCVZRFHs3JlnlaMvR9on8dTrAf+a3s9ILMDYmMhNDSPo4o4phIlSty6d1nbSJmsceNMfxwPrLa9zuuXf3dFZdlpJSUl0bVrVzZv3oyXlxdbt26lRo0aOX9QRCQPVJZFHE1wcI6H3ASW215nOjOcg7Si3QCodxc5RJzFgAEDKFu2LD/++COHDx82O07xVbUqNLlz3jgUSMD4paRPYWXx9zfyiNNJTk6mR48erF+/nooVK7J161Zq1apldiwRKYJUlkUcSXQ0hIfneNgG4ILtdV5nYS4B63Lz2X37jDwiRUD58uUZOHAgoG2kTDdixB0/egXjvuIUwB7rF2+zjbcojznE8d24cYNevXrx/fffU6FCBbZs2cLjj2dc4lJExD5UlkUcyf79uTpske25HsbscF4sB5IxZqN753RwREQeRxdxXKNGjQJg2bJlXLp0yeQ0xdhLL2W7Knah8PQ0cohTuXnzJv369WPVqlWUL1+ezZs306BBXv8VFBHJPZVlEUeSi3IaC6y1vR6Qj1OkXYLdHuN+57vNI+IsatSoQbt27UhMTGT+/Plmxym+PDxgwgRzM0yYAO7u5maQPElJSWHQoEF8+eWX3HPPPWzatAk/3XMuIgVMZVnEkURG5njICvIwM5zBUSCt/ubq8u0DB/J4BhHHNnbsWABmzZrFzZs3TU5TjI0bB02bmnPuZs2M84vTSE1NZciQISxdupQyZcqwYcMGnnjiCbNjiUgxoLIs4kjysAp2O4w9kvMi7bMVMfZmzlFcXB7PIOLYWrduTc2aNYmJiWH16tU5f0AKhosLLFwIbm6Fe143N+O8Li6Fe17JN6vVyogRI/jiiy/w8PBg3bp1PPXUU2bHEpFiQmVZxJEkJ2f79nEgbfmvvC7slQIss73uCbjm5kNJSXk8i4hjS7+N1PTp001OU8z5+sKCBWCxFM75LBbjfDVrFs755K5ZrVbGjBnD3LlzcXd3Z82aNbRo0cLsWCJSjKgsizgS1+wr7CLbsyfQMY9D/wD8bnud66Jd2LM+IoWgf//+lCtXjp07d3JAtxqYq3dvmDOn4AuzxWKcp3deb14Rs1itVsaPH09QUBCurq6sXr2awMBAs2OJSDGjsiziSLJZITaVfMwMp5N2CXYdoHFuP1ShQh7PIuL4ypYty+DBgwFtI+UQhgyBpUsL7ss5d3dj/CFDCmZ8sTur1co777zDtGnTKFWqFKtWraJNmzZmxxKRYkhlWcSRNGyY5VubgfO213m9BPsK8F1+PtuoUR7PJOIcRo0ahcViYfny5Vy4cCHnD0jB6t0bDh60/6JfzZoZ42pG2alMnDiRjz/+mJIlSxIaGsrzz+dqlQ0REbtTWRZxJNlsg5E2M1wbaJLHYVcCiYAL0MdOeUScWbVq1ejYsSPJycnMmzfP7DgCxj3MO3fCJ5/cdpWNNT9jeXoa4+zYoXuUnczkyZOZPHkyLi4urFixgs6dO5sdSUSKMZVlEUfSOPMLpOOBtHV78zqrDH8X7ecA77x8UGVZirAxY8YAEBwcTHIOi+tJIXFxgfHjISYGFi3iap065OluZn9/WLzY+Pz48Vr12sl8/PHHvP/++5QoUYIlS5bQrVs3syOJSDFnsVqt+frSVkQKiL8/hIff9qPPgVcxvt06CzyYh+FOAI/ZXn8JvJSXHHv35uFMIs7FarVSt25djh49yvLly+nZs6fZkSSDoKAgPhk9mtdbtmRUs2bG3u9xccZK/W5uxroKjRoZX+z5+UHVqmZHlnyaNm0ar732GhaLhYULF9K/f36+GhYRsa+SZgcQkQxGjICBA2/70Su2R348Sj4vYxwxIp9nFHEOFouFMWPGMHToUGbMmKGy7ID27t3LGaBE9+76O6kICwoK4rXXXgNg/vz5Ksoi4jA0syziaBISwMcHYmNNi3CzfHlK/vGHsYqsSBF2/fp1fHx8iIuLY+/evfj7+5sdSdKpWbMmv/zyC/v378dPt4UUSXPnzmXYsGEAzJ49+9ZrERFHoHuWRRyNhwdMmGDKqdO+OXsnPp433nuPq1evmpJDpLCULl2aV199FYAZM2aYnEbSi4uL45dffsHd3Z169eqZHUcKwBdffHGrHE+fPl1FWUQcjmaWRRxRSgo0bw579hT6qU9VqkSNP/4gBahcuTLTp0+nc+fOWCx5WmZHxGmcOXOGatWq4eLiwpkzZ/D2ztMyeFJANm3aRNu2bXnyySf56aefzI4jdrZ06VL69++P1Wrlk08+Yfz48WZHEhG5g2aWRRyRiwssXGgsYFOY3Nyotm0be8LD8fPz4+zZs3Tp0oWOHTty+vTpws0iUkiqVKlC586duXHjBnPmzDE7jtjstS0w+MQTT5icROztyy+/ZMCAAVitVj766CMVZRFxWCrLIo7K1xcWLIDCmtG1WIzz1axJ48aN2bt3L0FBQZQrV45169ZRp04dPvroI22xI0XS2LFjAZgzZw5JSUkmpxFQWS6qVq1aRZ8+fUhNTWXSpEm8/fbbZkcSEcmSyrKII+vdG+bMKfjCbLEY5+nd+9aPXFwMYacaAAAgAElEQVRcGDlyJFFRUfTs2ZOEhAQmTJhAgwYN2L59e8HmESlkTz/9NPXr1+fChQuEhoaaHafYs1qtKstF0Pfff8/LL79MSkoK7777Lu+9957ZkUREsqWyLOLohgyBpUsL7pJsd3dj/CFDMn3b29ub5cuXs3nzZh577DGOHz9Oy5Yt6d+/PxcuXCiYTCKFLG0bKTAWGtJyHuY6deoUly5dwsvLiypVqpgdR+xg/fr1dOvWjZs3b/LGG28wefJkrYUhIg5PZVnEGfTuDQcPQtOm9h23WTNj3HQzyllp1aoVhw8fZtKkSbi5ubFkyRJ8fX2ZO3cuqamp9s0lYoJevXpx3333ERERwe7du82OU6yln1VWoXJ+P/zwA126dOHGjRuMGzeOjz/+WP9/FRGnoLIs4ix8fWHnTvjkE/D0vLuxPD2NcXbsgJo1c/0xd3d33n//ff7zn//Qpk0b4uLiGDZsGE8++SQHDx68u0wiJnN3d2eI7QoLbSNlrrSyrH2vnV9YWBidOnUiKSmJESNG8Omnn6ooi4jTUFkWcSYuLjB+PMTEwKJFkNdfJP39YfFi4/Pjxxvj5cOjjz7Khg0bCA0Nxdvbm7179+Ln58f//M//8Ndff+VrTBFHMHz4cFxcXPj666+JiYkxO06xpfuVi4YdO3bQsWNHEhMTefXVV5k5c6aKsog4Fe2zLOLsoqMhIsJ4HDgAcXGQlGTc41yhAjRqBH5+xqNqVbufPj4+nvfff5+ZM2eSmprKgw8+yPTp0+natat+KRKn9PLLL7Ny5UomTJjAhx9+aHacYicpKYly5cqRnJxMXFwc9957r9mRJB927dpFmzZtuHr1KgMGDGDBggWUKKE5GhFxLirLImIXkZGRDBs2jH379gHQtm1bgoKCqF69usnJRPJm165dPPXUU1SsWJGzZ8/i4eFhdqRiJTw8HH9/f3x9fTl+/LjZcSQf9u3bR+vWrYmPj6d3794sXrwYl3xeySQiYiZ9xScidtGwYUN27drF7Nmzuffee9m4cSOPP/44kydP1r614lSaNWuGn58fly5dYsWKFWbHKXZ0CbZzO3DgAG3atCE+Pp4ePXqwaNEiFWURcVoqyyJiNy4uLgwbNoyoqCj69u1LYmIi77//PvXq1SMsLMzseCK5YrFYGDt2LGAs9KULsAqXyrLzOnz4MK1bt+by5cu8+OKLLFu2jJIlS5odS0Qk31SWRcTuHnjgAZYsWUJYWBi+vr788ssvBAYG0rt3b/744w+z44nkqEePHnh5eXHo0CF27NhhdpxiRWXZOR09epTAwEBiY2Pp2LEjX375JaVKlTI7lojIXVFZFpEC8+yzz3Lo0CE+/PBD3N3dWb58Ob6+vsyaNYuUlBSz44lkyc3NjWHDhgEwffp0k9MUH7Gxsfz666+4u7tTt25ds+NILkVFRREYGMjFixdp27YtX331Fa6urmbHEhG5ayrLIlKgXF1dmTBhAseOHaN9+/ZcuXKFUaNG0bRpUyIiIsyOJ5KlYcOGUapUKVavXs2ZM2fMjlMspC0Q6Ofnp1lJJ/Hrr78SEBDAn3/+SatWrfjmm29wc3MzO5aIiF2oLItIoXjkkUdYu3Ytq1atwsfHh/379+Pv78/o0aO5cuWK2fFE7uDt7U2PHj1ITU1l1qxZZscpFnQJtnM5deoUAQEB/P7777Rs2ZLvvvtOq8eLSJGisiwihcZisdClSxeOHz/O+PHjsVgsBAUF4evry5dffqmFlMThjBkzBoD58+dz7do1k9MUfWll2d/f3+QkkpMzZ84QEBBATEwMzZs3Z82aNZQuXdrsWCIidqWyLCKFrmzZsnzyySccOHCAZs2a8ccff9CzZ0+ee+45fv31V7Pjidzi7+9P06ZNuXz5MiEhIWbHKdKsVuuty7A1s+zYYmJiCAgI4MyZMzRt2pT169dTtmxZs2OJiNidyrKImKZevXrs3LmT+fPn4+npyZYtW3j88ceZOHEiiYmJZscTAf6eXdY2UgXr5MmTXLp0CS8vL6pUqWJ2HMnC77//TkBAAKdOnaJx48Zs2LCBe+65x+xYIiIFQmVZRExVokQJXnnlFaKiohg4cCDJycl88MEH1K1blx9++MHseCJ07doVb29vjh49qv3CC1D6WWWLxWJyGsnMn3/+SUBAAL/++isNGjRg06ZN3HvvvWbHEhEpMCrLIuIQ7r//fr744gv+/e9/U6dOHU6cOEGbNm146aWXOH/+vNnxpBhzdXVlxIgRgDG7LAVDi3s5tv/+978EBgYSFRVF3bp12bx5M56enmbHEhEpUCrLIuJQnn76aSIjI/n4448pXbo0oaGh+Pr6MmPGDG7evGl2PCmmhgwZgqurK2vWrOHkyZNmxymSVJYdV2xsLK1bt+bo0aPUqlWLLVu2cN9995kdS0SkwKksi4jDKVWqFG+++SbHjh3jhRde4K+//mLs2LH4+/vfulRTpDB5eXnRq1cvrFartpEqAElJSURGRmKxWGjSpInZcSSdy5cv89xzz3Ho0CFq1KjB1q1b8fLyMjuWiEihUFkWEYdVpUoVvvvuO7777jsefvhhIiMjadq0KcOHDycuLs7seFLMjB49GoAFCxZw9epVk9MULYcOHSI5ORlfX1/Kly9vdhyxiY+Pp23btkRERFC9enXCwsLw9vY2O5aISKFRWRYRh/fCCy9w7Ngx3nrrLVxcXJgzZw6+vr4sW7ZMqxNLoWnUqBHNmzcnPj6exYsXmx2nSNEl2I7n6tWrtGvXjr1791K1alXCwsJ46KGHzI4lIlKoVJZFxCmUKVOGf/7znxw8eJCnn36aCxcu0Ldv31sLzogUhrFjxwIwc+ZMUlNTTU5TdKgsO5Zr167RoUMHdu3aReXKlQkLC+Phhx82O5aI84qOhq+/hnfegbZtwd8fGjQwntu2NX7+9dfGceJQLFZNy4iIk7FarSxevJg33niDixcv3rrH+d1338XDw8PseFKE3bx5k0ceeYSYmBg2btxImzZtzI5UJDz22GOcOHGCiIgIGjVqZHacYi0hIYGOHTuydetWHnzwQbZv386jjz5qdiwR55OQACtXQnAwhIfn/nNNmsDIkdCjB+h3GtNpZllEnI7FYmHAgAFERUXxyiuvcOPGDT788EPq1KnD+vXrzY4nRVjJkiUZOXIkANOnTzc5TdFw6dIlTpw4gbu7O3Xr1jU7TrGWmJjIiy++yNatW6lUqRJhYWEqyiJ5lZICU6eCjw8MHJi3ogzG8QMGGJ+fOtUYT0yjsiwiTqtixYrMnz+fn376iXr16nH69Gk6dOhA165diYmJMTueFFGvvvoq7u7ubNiwgV9++cXsOE4vbYV7Pz8/SpUqZXKa4is5OZlu3bqxadMm7r//frZu3UrNmjXNjiXiXKKioHlzeP11iI29u7FiY41xmjc3xhVTqCyLiNN78skniYiIYOrUqZQpU4ZvvvmGWrVq8emnn2pvZrG7ihUr0qdPHwCCgoJMTuP80sqy7lc2z40bN3jppZdYt24dFStWZOvWrdSuXdvsWCLOJSTEuA95zx77jrtnjzFuSIh9x5VcUVkWkSKhZMmSvPbaaxw/fpwuXbpw9epVxo8fj5+fH7t37zY7nhQxY8aMAWDhwoVcuXLF5DTOTYt7mevmzZv07t2b1atXc++997J582ZdDi+SV/PmQZ8+kJRUMOMnJUHfvsZ5pFCpLItIkVK5cmVWrVrFunXreOSRRzh8+DBPPvkkQ4YMIfZuL4kSsalbty7PPvssV69eZdGiRWbHcVpWq1UzyyZKSUmhX79+fPXVV5QrV47NmzfTsGFDs2OJOJeQEBg6tODPY7XCsGGaYS5kKssiUiS1b9+e//znP0yYMIFSpUoxf/58atasyaJFi7Q3s9hF2uyytpHKv5MnT3Lp0iUeeOABbU1UyFJTUxk0aBArVqygbNmybNq0icaNG5sdS8S5REXB4MH8BXwPvAe0A+4DLLZHbu42PgAMAKoB7oAH8CgwCDiY/kCrFQYP1j3MhUhlWUSKrNKlS/Phhx9y6NAhWrZsycWLFxk4cCAtWrTg6NGjZscTJ9exY0eqVq3KyZMntQp7PqW/BNtisZicpvhITU1l6NChLFmyhNKlS7NhwwaaNm1qdiwR55KSYqx2nZTEVqAT8P+AjcClPAwTDPgDi4HTGAUb4CSwEGgM3HbxdVISDBqkVbILicqyiBR5tWrVIiwsjKVLl+Ll5cWOHTto0KABb7/9NteuXTM7njgpFxcXRo0aBcCMGTNMTuOcdL9y4bNarYwaNYrPP/8cDw8P1q1bR/Pmzc2OJeJ8PvvstsW8vID2wEQylNtsHAPGAClAa+A/wHXb4zDQ0vbeKIzyfMvu3cb5pcBZrLoeUUSKkbi4OCZMmMDcuXOxWq1UqVKFGTNm8MILL5gdTZxQXFwcPj4+XL9+naNHj2oF4Tx64okn2LdvH1u2bCEwMNDsOEWe1Wpl3LhxzJgxAzc3N9auXUurVq3MjiXifBISjH2QbWuhpAAu6d6OBh6xvT4O+GYxzETgA6AcEAPck+H9eMAH+AuYBoxL/6anJ8TEgIdHvv8zJGeaWRaRYqVChQrMnj2b3bt307BhQ86cOUOnTp3o3Lkzv/32m9nxxMlUqFCBfv36Aca9y5J7SUlJHDx4EIvFontlC4HVauWNN95gxowZuLq6snr1ahVlkfxaufK2fZRdsjk0O3/anh/jzqIMRol+zPb6juvgYmMhNDSfZ5bcUlkWkWIpbUZr+vTp3HPPPXz33XfUqlWLf/3rX9y4ccPseOJERo8eDcCSJUuIi4szOY3zOHjwIMnJyfj6+lK+fHmz4xRpVquVd999l6lTp1KyZEm+/vpr2rZta3YsEecVHGyXYarann8FrmbyfrztPYBGBZhDsqayLCLFVsmSJRkzZgxRUVH06NGD69ev89Zbb9GwYUN27NhhdjxxErVr16Z169Zcv36dBQsWmB3Haeh+5cIzadIkPvroI1xcXFi5ciUdO3Y0O5KI84qOhvBwuwzVB2Pl63igC8Y9zABWjPuXO2Ncgv0cxirbd9i3z8gjBUZlWUSKvQcffJCVK1eyadMmqlevztGjR3nmmWcYNGgQFy9eNDueOIG0baSCgoJI0QqluaKyXDg+/PBDJk2aRIkSJVi+fDldunQxO5KIc9u/325D+QDfAPcCm4E6QGnboy5GeX4XWJPdIBERdssjd1JZFhGxee655zhy5Ajvv/8+rq6uLFy4kJo1a/L5559rH13JVvv27alevTpnzpxhzZpsf60Rm3379gEqywXp//7v//jHP/6BxWJhyZIl9OjRw+xIIs7PzuW0LUZRrm77cwKQaHudCFzGWB27sPLI7VSWRUTS8fDwYNKkSRw5coRWrVoRGxvLq6++ytNPP83hw4fNjicOqkSJErfuXZ4+fbrJaRzfpUuXOHHiBB4eHtStW9fsOEXS9OnTefPNNwH44osv6N27t8mJRIqIyEi7DjcRaAK4AWuB/9oea4GHgFnAU0CWK2IcOGDXPHI7lWURkUzUqFGDH374gRUrVlCpUiV27dpFo0aNeP3117l6NbNlOKS4GzhwIGXLlmXbtm36YiUHabPKfn5+lCxZ0uQ0RU9wcDDjxhmbzMybN48BAwaYG0ikKEm3CvbdCsHYOsoL+DfQAbjP9uhg+5kXxuXY/8xqEC0sWaBUlkVEsmCxWHj55ZeJiopi1KhRWK1Wpk6dSq1atfj222/RNvWSXrly5Rg4cCCgbaRyovuVC878+fMZOXIkALNmzeLVV181OZFIEZOcbLeh0q5D6gdUzOT9ikBf2+vvshokKclueeROKssiIjkoX748M2fOZN++fTRu3JiYmBi6dOlCx44dOX36tNnxxIGMGjUKgGXLlmlxuGyoLBeMRYsWMXToUACmTZvGiBEjTE4kUgS5utptqOO250eyOaaa7Tk6qwPc3OwVRzKhsiwikkt+fn7s2bOHoKAgypUrx7p166hTpw5Tpkwh2Y7fNIvzqlGjBu3btycxMZHPP//c7DgOyWq1anGvAhASEsKgQYOwWq3861//unUZtojYmaen3YZKK2K/ZXPMGdvzPVkdUKGC3fLInVSWRUTywMXFhZEjR/Lzzz/Tq1cvEhISePfdd6lfvz7btm0zO544gLRtpGbNmsXNmzdNTuN4Tpw4QWxsLA888ACVK1c2O06REBoaSr9+/bBarXz44Ye88cYbZkcSKboaNrTbUPVtzyuAzFZDuQp8aXud5VeLjRrZLY/cSWVZRCQfKlWqREhICFu2bKFGjRpERUXx7LPP0q9fPy5cuGB2PDFR69atqVmzJjExMXz77bdmx3E46S/BtlgsJqdxft9++y29evUiNTWViRMnMmHCBLMjiRRp12vVyvTnF9M90i+5dTnDe+k3ohxue/4NYwupA0CK7XHA9rO0WecxWQXy88vjf4HkhcqyiMhdCAwM5PDhw3zwwQe4ubmxdOlSatasydy5c7U3czFVokSJW7PLM2bMMDmN49H9yvazZs0aXnrpJVJSUnjnnXeYOHGi2ZFEiqT4+HhCQkLo3LkzDW2L5mVc4vP+dI/0c73NMryX/pLrnsBY2+ufAD+gjO3hZ/uZBfh/wHNZhVNZLlAWq5ZzFRGxi5MnTzJq1Cg2btwIGGVg9uzZNLTjJVviHK5evcpDDz1EfHw8ERERNNJlcrf4+/sTHh7Oli1bCAwMNDuO09q4cSOdOnUiOTmZ8ePH83//93+aqRexo/j4eNasWUNoaCibNm0iybbqtMVi4WjZstT666/bjs/t//pOA1Uz/CwMmAfsBv60/cwbY3/lkRiFO1P+/mD7AlIKhmaWRUTspHr16qxfv57Q0FAefPBB9u7dS+PGjRk3bhzx8fFmx5NCVLZsWQYPHgxodjm9pKQkDh48iMVioUmTJmbHcVpbtmyhc+fOJCcnM2bMGBVlETtJm0Hu1KkTXl5e9OnTh++//57k5GSeeeYZgoKCOHfuHLUy+XvdmstH1UzOG4Bxb/IZINH2OA0sI5uiDKAV7wucZpZFRApAfHw8EydOZMaMGaSmpvLggw8ybdo0unfvrl9qi4lTp07x6KOPUqpUKc6ePYuXl5fZkUy3d+9emjZtSu3atTl69KjZcZzStm3baN++PQkJCQwfPpxZs2bp7xSRuxAfH8/333/PV199dccM8jPPPEP37t3p0qUL3t7ef38oIQF8fCA21qTUGKtynzsH7u7mZSgGNLMsIlIAypUrx7Rp04iIiOCJJ57g/PnzvPTSS7Rr146TJ0+aHU8KQbVq1ejYsSPJycnMmzfP7DgOQfcr352dO3fy/PPPk5CQwODBgwkKClJRFsmH+Ph4li1bdmsGuW/fvrdmkFu0aHFrBnnbtm2MHDny9qIM4OEBZi+mN2GCinIh0MyyiEgBS01NZf78+bz99ttcvnwZNzc3JkyYwFtvvYWbm5vZ8aQAbd26lVatWuHt7U10dDSurq5mRzJV7969Wb58OXPmzGHo0KFmx3Eqe/bsoXXr1ly9epV+/fqxcOFCSpTQnIdIbqWfQd64cSPJyclADjPI2UlJgebNYc+eAkydhWbNYMcOcHEp/HMXMyrLIiKF5MKFC7zxxhssWbIEgBo1ahAcHKxFjoowq9VK3bp1OXr0KMuXL6dnz55mRzLVo48+ysmTJ4mMjKRBgwZmx3Ea+/fvJzAwkPj4eHr16sWSJUtw0S/JIjm6cuXKbYt0ZVaQu3btSqVKlfJ3gqgoaNAAbJduFwo3Nzh0CGrWLLxzFmMqyyIihWzbtm2MGDGC48ePA9CzZ08+/fTT/P9jLQ5t3rx5DB06lKZNm7J7926z45jm4sWL3H///Xh4eBAfH0/JkiXNjuQUIiMjCQgI4PLly3Tr1o0VK1bo/3Yi2cipIPfo0YMuXbrY79/ckBDo2xcKo1JZLLB0KfTuXfDnEkBlWUTEFMnJyUydOpXJkyeTkJBAuXLlmDJlCsOGDdOMURFz/fp1fHx8iIuLY+/evfj7+5sdyRTr16+nQ4cONG/enB07dpgdxykcOXKEZ599lkuXLtGpUye++uorSpUqZXYsEYdz5cqV2xbpKvCCnNG8eTBsWMEWZosF5syBIUMK7hxyB93sIiJiAldXV9555x2OHj1Khw4diI+PZ9SoUTRt2pT9+/ebHU/sqHTp0rz66qtA8d5GSot75c2xY8cIDAzk0qVLdOjQgZUrV6ooi6Rz5coVli5dygsvvICXlxf9+vVjzZo13Lhxg5YtWzJr1izOnz9/62quAr16a8gQY8a3oNYhcXc3xldRLnSaWRYRMZnVamX16tWMGTOGmJgYLBYLI0aM4MMPP6R8+fJmxxM7OHPmDNWqVcPFxYUzZ87kfgGZIqRt27Zs2rSJ0NBQunfvbnYch/bzzz/TokUL/vzzT9q0acPq1atx16q3ItnOILdo0eLWIl2m3dYUFQUDB9p30a9mzWDhQt2jbBKVZRERB3H16lUmTZrEtGnTSElJoVKlSnz66ae8/PLL2h6mCOjatSvffPMN77//PpMmTTI7TqGyWq1UrFiRuLg4zpw5w8MPP2x2JId14sQJWrRowfnz5wkICGDt2rV4eHiYHUvENFkV5BIlSty2irXDrPuRkgKffQZTptzdPsyensb2UOPGadVrE6ksi4g4mMOHDzN8+HB27doFQGBgIMHBwdSoUcPkZHI3/v3vf9OiRQu8vLz47bffitW2Yb/++is1atSgUqVKnD9/Xl/+ZCE6OppnnnmGs2fP8swzz7B+/XrKlCljdiyRQpdWkENDQ/nhhx8cvyBnJiEBQkMhOBj27cv95/z9YeRI6N7d2M9ZTKWyLCLigFJTU1m4cCFvvvkmsbGxuLq68vbbb/POO+/ockwnZbVaadiwIYcOHWLx4sX069fP7EiFZtmyZfTt25dOnTqxevVqs+M4pN9++40WLVoQHR3NU089xcaNGylbtqzZsUQKzeXLl2/NIGdWkNMW6XrggQdMTpoP0dEQEWE8DhyAuDhjuyk3N6hQARo1Aj8/41G1qtlpJR2VZRERB3bx4kXeeustvvjiCwCqV6/OrFmzaNOmjcnJJD8WLlzIoEGD8PPzIzw8vNjMsI4ePZqgoCCmTJnCO++8Y3Ych3Pu3DlatGjByZMneeKJJ/jhhx8oV66c2bFEClx2BTn9PchOWZClSFBZFhFxAjt37mTYsGEcPXoUgO7duzNt2jQeeughk5NJXiQmJlK5cmUuXrzITz/9xJNPPml2pELh7+9PeHg4W7duJSAgwOw4DuWPP/6gRYsW/PLLLzRq1IitW7dy7733mh1LpMCkL8ibNm3ixo0bgAqyOCaVZRERJ3Hjxg0+++wz/vd//5fr169zzz33MHnyZEaOHEnJkiXNjie59O677zJlyhR69OjBypUrzY5T4BITEylXrhw3b97k8uXLmjFN58KFC7Rs2ZLjx49Tv359wsLC8PT0NDuWiN2pIIuzUlkWEXEyv/32G2PHjr1172eDBg2YM2eO9q91EufOnaNKlSqAsaCTj4+PyYkK1p49e2jWrBm1a9e+dWWEGLdYBAQEcOTIER5//HF+/PFH7rvvPrNjidhNWkFOW6RLBVmcUQmzA4iISN48/PDDfPvtt3z//fdUqVKFgwcP0qxZM4YPH05cXJzZ8SQHDz30EN26dSMlJYXZs2ebHafA7d27F0Bf5qQTGxtL69atOXLkCL6+vmzZskVFWYqEy5cvs2TJEp5//nm8vLzo378/69atIyUlhWeffZbZs2dz/vx5wsLCGD58uIqyODzNLIuIOLFr164xefJkpk6dys2bN/Hy8uKTTz6hT58+xWbxKGe0a9cunnrqKSpWrMjZs2eL9D66vXr1YsWKFcyZM4ehQ4eaHcd0V65coVWrVuzfv5/HHnuM7du34+3tbXYskXy7fPky33333a1FujLOIPfo0YMXX3xRxVicksqyiEgRcPToUUaMGMG///1vAFq2bElwcDC1atUyOZlkxmq14u/vz/79+1mwYAGDBg0yO1KBqV69OqdOnSIyMpIGDRqYHcdU8fHxtGnThj179lCtWjW2b99e5C/Dl6Ipu4LcsmVLunfvroIsRYLKsohIEWG1WlmyZAmvv/46Fy9epFSpUrz++uv84x//oHTp0mbHkwyWLl1Kv379qF+/PpGRkUXySoD//ve/eHl5Ubp0aa5cuVKsF6K7evUq7dq1Y+fOnVSpUoXt27ffunddxBnkpiB36dIFLy8vk5OK2I/KsohIERMbG8s777zDvHnzAKhatSpBQUF06NDB5GSSXlJSElWqVOHPP/9k27ZttGjRwuxIdrdu3Tqef/55nn766VtXPRRH169fp0OHDmzbtg0fHx+2b99OtWrVzI4lkqO0ghwaGsrmzZtVkKXY0QJfIiJFjKenJ3PnzmXXrl3Uq1eP6Ohonn/+ebp27crZs2fNjic2bm5uDBs2DIAZM2aYnKZg7Nu3Dyjei3slJibSqVMntm3bhre3N2FhYSrK4tAuX77M4sWL6dChA15eXgwYMID169eTkpJCQEAAs2fP5vfff2fr1q0MGzZMRVmKNM0si4gUYTdv3mTmzJm8//77XL16lTJlyjBp0iTGjBlDqVKlzI5X7P3+++9UqVKFlJQUTp06VeQuy23bti2bNm3iq6++olu3bmbHKXRJSUl07tyZjRs38sADD7Bt2zZ8fX3NjiVyh7i4uFuXWGc2g5y2SJeKsRQ3KssiIsVATEwM48aNY9WqVQDUrVuXOXPm8OSTT5qcTPr06UNISAhvvPEG//rXv8yOYzdWq5WKFSsSFxfHb7/9RuXKlc2OVKiSk5Pp1q0ba9as4b777mPbtm3UqVPH7Fgit6ggi+RMZVlEpBjZsGEDI0eO5PTp0wC88sor/POf/6RixYomJyu+wsPD8ff359577yUmJoYyZcqYHckufqGIzPcAACAASURBVPnlF2rWrIm3tzfnzp0rkguYZeXGjRu89NJL/5+9Ow+P6Xz/OP7OHkuCKGIPEUsS+1bfLrSqtD9Kq1GliaqltVRrX1pd1FJqqS1UKZKitlaVql2qSimlIrILEUuIiCX7zPn9MZImZkKWmTmZ5H5dl0vMnPOce2yZzzzPuR9++uknXFxcOHDgAM2bN1e7LCEeGZCfe+657C7WEpCF0JGwLHKLiYG//4aTJ+Gff+DWLUhPB3t7cHGBli2hdWto0wbc3NSuVghRCCkpKcycOZPZs2eTkZHBE088wZw5c3j77bdLVaApTjp06MCxY8f45ptvGDp0qNrlGEVWt++ePXuybds2tcsxm8zMTN566y02btxIxYoV2b9/P61atVK7LFGKSUAWovAkLAtISYGNG8HfH06cyP95bdvCiBHQpw+UKWO6+oQQJhEaGsrw4cM5ePAgAE8//TTLli3D29tb5cpKnw0bNtCvXz+8vLw4e/ZsifjQYuTIkSxdupSZM2cyefJktcsxC41Gw4ABA1i3bh3Ozs7s27ePtm3bql2WKIWyAvKmTZvYt2+fBGQhCknCcmmm0cDXX8PMmboZ5MJycYEpU+DDD8HGxnj1CSFMTlEU1q9fz5gxY4iPj8fW1pYxY8bwySeflJjlwJYgIyMDNzc3rly5wr59++jcubPaJRVZ27Zt+fvvv9m/fz/PP/+82uWYnFarZdCgQaxZs4by5cuze/du6QkgzEoCshDGJ2G5tAoNhYED4dgx44355JOwejVIp08hLE5iYiIfffQRy5cvR1EU6tSpw6JFi+jZs6fapZUa06dPZ+rUqfTo0YPt27erXU6RpKam4uzsTGZmJrdv38bZ2VntkkxKq9Xy3nvv8e2331K2bFl27drFs88+q3ZZohRITExk27ZtbN682WBAzmrSVaVKFZUrFcIySVgujdatg0GDIC3N+GM7OMCqVdC/v/HHFkKY3PHjxxk2bBinTp0C4JVXXmHRokUlbkuj4ig+Pp7atWuTkZFBREQE7u7uapdUaEePHuV///sfXl5eBAcHq12OSSmKwsiRI/H398fR0ZGdO3eWipl0oZ6cAXnv3r1kZmYCuoD8/PPPZ88gS0AWouis1S5AmNmKFfDWW6YJyqAb19dXdx0hhMVp164dx48fZ9GiRTg5ObF9+3Y8PT2zm4EJ06latSr9+vVDURSWLl2qdjlF8tdffwHQvn17lSsxLUVRGD16NP7+/jg4OPDzzz9LUBYmkZiYyOrVq3n55ZepWrUq77zzDrt27UKr1fLCCy/wzTffcO3aNfbu3cvQoUMlKAthJDKzXJqsW6cLyuZgZQWBgTLDLIQFu3LlCmPGjGHjxo0AeHp6smzZMlleakKnTp2idevWODs7c/nyZZycnNQuqVD69evHhg0bSlR374cpisLEiRP56quvsLOzY9u2bbz88stqlyVKkFu3buW6BzlrBtnGxibXPcgSjIUwHQnLpUVoKLRoka8Z5TXAwMccUw6497iBHBzg9Gm5h1kIC7dnzx5GjBhBZGQkAG+//TZz5syRN2gm8swzz/DHH3+wZMkSRowYoXY5heLu7k50dDSnT58usfsLT506lenTp2Nra8uWLVvk/n5hFBKQhSheJCyXBhoNPP10vpt5rUEXlu0AlzyOKQdE5WewDh3g8GHpki2EhUtNTeXLL79k1qxZpKenU6lSJWbPns2gQYOwtpY7eoxpy5Yt+Pj40KhRI0JCQizu9/fGjRtUrVqVsmXLkpSUhK2trdolGd20adP49NNPsbGxYePGjfTu3VvtkoQFu3XrVq4mXQ8H5D59+tCrVy8JyEKoQMJyaTBvHowbl+/D16ALyx2BQ8a4/ty5MHasMUYSQqgsIiKCESNGsHfvXgA6dOjA8uXLadasmcqVlRyZmZnUr1+f2NhYdu3aRbdu3dQuqUB27txJ9+7defbZZwkKClK7HKObNWsWU6ZMwdramnXr1tG3b1+1SxIWKD8B+dVXX+WJJ55QuVIhSjfL+rhaFFxKim4fZTXNnKmrQwhh8Tw8PNi9ezcbNmzA1dWVo0eP0qpVK8aOHcvdu3fVLq9EsLW1zV5+vWjRIpWrKbis5l7t2rVTuRLjmzdvHlOmTMHKyoo1a9ZIUBYFcuvWLb777jteeuklqlWrxqBBg/jtt99QFIUuXbqwYsWK7CZdQ4YMkaAsRDEgYbmk27gRbt1St4Zbt2DTJnVrEEIYjZWVFX379iU0NJT3338fRVGYP38+TZo0YevWrciCpaIbPHgwjo6O7Nq1i/DwcLXLKZCS2gl78eLFjHuwSmvlypX4+vqqXJGwBPkNyHv27JGALEQxJGG5pPP3V7sCneJShxDCaCpUqMCiRYs4fvw4bdu2JS4ujtdff53u3bsTHR2tdnkWrXLlyrz1YPeCxYsXq1xN/mm1Wo4fPw6UrLC8fPlyRo0alf31O++8o3JFojjLCsjdunWTgCyEhZN7lkuymBioV6/Ap61Bd8/yE0BVIBqwBeoCXYBRQMFHBS5cADe3wpwphCjmNBoN33zzDVOmTCEpKQlHR0c+/vhjxo0bh4ODg9rlWaSzZ8/SrFkzypcvz+XLl6lQoYLaJT1WWFgYjRs3pnr16sTFxWFlZaV2SUW2atUqBg8eDOg+uBg5cqTKFYniKCEhIfse5P379+e6B/n555/P7mItwVgIyyIzyyXZ338X6fSbwHmgLJAKnAO+BryA9YUZ8OTJItUjhCi+bGxsGD58OKGhofTv35/U1FQ+/vhjWrRowcGDB9UuzyI1bdqU5557jnv37rFmzRq1y8mXnEuwS0JQDggIYMiQIQDMnz9fgrLIJSEhgVWrVtGtWzdcXV0ZPHgwu3fvzp5B/vbbb2UGWQgLJ2G5JCtkOK0BfA4EowvJCej2VN4JeAIpgB/wu5nqEUJYDldXV77//nv27dtHw4YNCQ0N5fnnn8fX15fr16+rXZ7FyVr6u3jxYjQajcrVPF5Jul95w4YNDBw4EEVR+PLLLxk9erTaJYlioCABefDgwRKQhbBwsgy7JOvWDXbvNuqQSUAbIBLoAPxZkJO7doXffjNqPUKI4istLY2vvvqKGTNmkJqaSsWKFZk5cyZDhw7FRvZezxeNRkODBg2IiYnhl19+oXv37mqX9Eht2rTh5MmTHDhwgOeee07tcgpt8+bNvPnmm2g0GqZNm8bUqVPVLkmo6FFLrDt37oyPjw+9evWSYCxECSRhuSRr1w5OnDD6sKuBdwAr4DpQpSD1PJh1EEKUHtHR0YwcOZJdu3YBui2Fli1bRqtWrVSuzDLMmzePcePG0aVLF/bs2aN2OXlKTU3FyckJjUZDUlISTk5OapdUKNu2bcPHx4fMzEymTp3KtGnT1C5JqCArIG/atIkDBw5IQBailJKwXJK1aAFnzhh92BB09y0DHAfa5vfE5s3h9Gmj1yOEKP4UReHHH39k1KhRXLlyBWtra0aOHMkXX3yBs7Oz2uUVa4mJidSqVYvk5GTOnTuHp6en2iUZdPToUf73v//h7e3N2bNn1S6nUHbu3Mmrr75KRkYGEydOZNasWSXi3muRPzkD8v79+7NvfZCALETpJfcsl2T29iYZNuenKwV5C6E1UT1CiOLPysqK3r17Exoamn3v56JFi2jcuDGbNm2SvZkfoVKlSgwYMAAo3ttIWfr9yrt37+a1114jIyOD0aNHS1AuJRISEli5ciVdu3alWrVqDB48OHsFx4svvph9D/Lu3bvlHmQhSiGZWS7JTHDPMvy3DBsgnvwvw94NjG7SBG9vb7y8vPD29sbb2xt3d3dsbW2NXqcQovg6ffo0w4YN49ixY4DuTenSpUtp0KCBypUVTyEhIXh5eVG2bFkuX75MpUqV1C5Jz5tvvskPP/zAN998w9ChQ9Uup0D2799P9+7dSU1NZeTIkSxatEiCcgmWkJDATz/9lH0P8sMzyH369KFXr15UrlxZ5UqFEGqTsFySTZ4MX35ZoFMUHj1bfAfdsutwoB1QkDuQZwFTDDxub29PEwMhum7dulhby+IHIUoqrVbLypUrmTRpEomJiTg4ODB58mQmTpyIo6Oj2uUVOy+++CJ79+7lq6++Yty4cWqXo6d+/fpcuHCB06dP07x5c7XLybegoCBeeuklUlJSePfdd1m2bJkE5RLoUQH5hRdeyF5iLQFZCJGThOWSbMsW8PEp0CkxQF9gCNAFqPPg8XTgADAe3ZZS1sBe4PkCjJ22bh3nGjcmODiYc+fOERwcTHBwMJcuXTJ4fLly5fD09MwVoL28vKhZs6a8kRGiBImPj2fChAmsXbsWAA8PD/z9/XnhhRdUrqx42blzJ927d6du3bpERUUVq47iN27coGrVqpQtW5akpCSLWS105MgRunbtyv379xk4cCArV66UD2lLkJs3b+Zq0iUBWQhRUBKWS7KYGKhXr2CnADnPcATKoZtRznjwWFlgOeBb0HouXAA3N72H79y5Q0hISK4Qfe7cOa5evWpwmAoVKujNQnt5eVG1atWCViSEKEaCgoIYNmwY58+fB6Bv377Mnz+f6tWrq1xZ8aDVamnYsCFRUVH89NNP9OrVS+2Ssu3YsYMePXrw7LPPEhQUpHY5+fLXX3/RpUsX7t69i6+vL6tXry5WH0CIwskrINva2uZq0iUBWQiRHxKWS7oCbh+VAqwE/gDOADfQBeVygAfQGRgG1C1MHQXcNiohIYFz587lmoUODg7m1q1bBo+vUqWKwRBdsWLFglYrhFBJeno68+fPZ9q0aaSkpODs7MyMGTMYNmyYBBlg4cKFfPjhh3Tq1ImDBw+qXU62qVOnMn36dMaPH8+cOXPULuexTp48SefOnUlKSqJv3758//338vfLgt28eTN7ibUEZCGEMUlYLunWrIGBA9WuQlfHg26uRaEoCtevX9dbyn3u3Dnu3r1r8JyaNWvqBWhPT0/Kly9f5HqEEKYRExPD+++/z44dOwBo3bo1y5cvp02bNipXpq47d+5Qs2ZN7t27x5kzZ2jWrJnaJQH/3U+9ZcsWevfurXY5j3TmzBmee+45EhMT6d27Nxs2bMDOzk7tskQBPS4g9+nTh549e0pAFkIUiYTlki4lBWrVgjxmY83CxQXi4sCEDXsURSE2NlYvQIeEhJCSkmLwnHr16umF6MaNG0tjISGKCUVR+Pnnnxk1ahSxsbFYWVkxbNgwZsyYUapXjIwaNYrFixczaNAgVq5cqXY5aLVaXFxcSEpKIjY2llq1aqldUp6Cg4N57rnnuHnzJq+88gqbN2/GXrY1tBj5Cci9evXCxcVF5UqFECWFhOXSYN48ULNz6ty5MHasKpfWaDRcuHBBL0SHhoaSkZGhd7y1tTUeHh56IdrDw0NmHoRQyb1795g2bRrz589Ho9FQrVo15s+fz5tvvlkqm/2Fh4fTqFEjHB0diY2NVX3f17CwMBo3bkyNGjWIi4tTtZZHOX/+PJ06dSI+Pp6XX36ZH3/8EQcHB7XLEo/xqICcs0mXBGQhhClIWC4NNBp4+ml4sJ+pWXXoAIcPQzG7FywjI4OIiAi9EB0REYFWq9U73s7OjsaNG2eH6Kyf69WrJ/e5CWEmZ8+eZdiwYRw5cgSAzp07s3TpUho1aqRyZeb3f//3f/z666/MmjWLSZMmqVpLQEAAAwYM4NVXX+XHH39UtZa8hIeH07FjR65du0aXLl3Yvn27rCIqxrIC8qZNmzh48KAEZCGEaiQslxahodCiBaSlme+aDg5w5gxY0BvZ1NRUwsLCcgXo4OBgLly4YPD4MmXKZO8RnTNE165du1TOeAlhalqtljVr1jBhwgQSEhKwt7dn4sSJTJ48mTJlyqhdntns3r2bbt26UatWLaKjo1Vd+TJixAj8/f2LRXA3JCoqio4dOxIXF8dzzz3Hjh07KFu2rNpliYdIQBZCFEcSlkuTdevA1xfM8UduZQWBgdC/v+mvZQb37t3j/PnzeiE6ryWHTk5Oeku5vb29qVatmoRoIYzg5s2bTJo0iVWrVgFQv359li5dSrdu3VSuzDwURcHT05PQ0FA2bdqEj4+ParW0adOGkydPcuDAAZ577jnV6jDk4sWLPPvss1y6dIlnnnmGXbt2Ua5cObXLEg/cuHEje4m1BGQhRHEkYbm0WbEC3nvPtIHZygqWL4ehQ013jWLi9u3bufaGzgrTN27cMHi8i4uLXoD28vKSbp1CFNKRI0d47733CA4OBuD111/n66+/pmbNmipXZnr+/v6MGDGCp59+msOHD6tSQ9b2XhqNhqSkJJycnFSpw5DY2Fg6duzIhQsX6NChA7t37y5W9ZVWjwvIWV2sJSALIYoDCcul0bp1MGiQaZZkOzrCypUlZka5sOLj4w2G6KSkJIPHu7q66oVoT09PnJ2dzVy5EJYnIyODhQsX8umnn5KcnEz58uX54osvGDlyJLa2tmqXZzL37t2jVq1aJCUlcfLkSVq1amX2Gv7880+eeuopvL29OXv2rNmvn5crV67QsWNHIiMjadu2LXv37qVChQpql1VqSUAWQlgqCculVWiobv9lYzb96tABVq+2qHuUzUlRFK5cuaK3lDskJIT79+8bPKdOnTp6IbpJkyal6t5MIfLr0qVLfPDBB2zbtg2AFi1asGzZMp588kmVKzOdsWPHMn/+fAYMGMCaNWvMfv0FCxYwZsyYYrONFcD169fp2LEjYWFhtGzZkv3791OpUiW1yyp1sgLypk2bOHToUK6A3KVLF3x8fCQgCyGKPQnLpZlGA19/DTNnFm0fZhcXmDIFPvyw2HW9tgRarZaLFy/qzUKHhoaSZmD238rKCnd391wB2tvbm4YNG8p+oUIAO3bsYOTIkVy8eBErKyuGDBnCrFmzSuSb8ujoaBo0aICdnR2xsbFUrVrVrNfv27cvGzduZMWKFQwZMsSs1zbkxo0bdOrUiZCQEJo1a8aBAwfkNhczkoAshChpJCwLSEmBTZvA3x+OH8//ee3awYgR4OMDMtNpdJmZmURFRemF6PDw8Ow3IDnZ2trSsGFDvRDt7u4u21uJUic5OZnp06fz1VdfkZmZSZUqVZg7dy6+vr4lrslez5492b59O9OmTWPq1KlmvXa9evWIiYnhzJkzNGvWzKzXflhCQgLPP/88//77L56enhw6dIgqVaqoWlNpcOPGDX788Uc2b94sAVkIUeJIWBa5xcTAyZO6H6dOQWKi7t5mBweoVAlatYLWrXU/3NzUrrZUSktLIzw8XG+P6KioKAz9c3ZwcMje3ipnU7G6detibW2twisQwnxCQkIYPnw4QUFBAHTs2JFly5bRpEkTlSszngMHDtC5c2eqV69OTEyM2VaYxMfHU61aNcqVK0dSUpKqH8olJibSuXNn/vnnHxo1asShQ4dwdXVVrZ6SLmdAPnjwIFqtFvgvIGfdgyzL34UQlk7CshAlRHJyMufPn9cL0ZcuXTJ4fLly5fDy8tLb4qpGjRolbuZNlG6KohAYGMi4ceO4ceMGdnZ2jBs3jo8//rhE7LerKApNmzbl3LlzrF+/njfffNMs192xYwc9evSgY8eOHDp0yCzXNCQpKYkuXbpw4sQJGjRoQFBQEDVq1FCtnpJKArIQojSSsCxECZeUlERISIheiL527ZrB4ytWrKi3lNvLy0uWMwqLd+vWLSZPnsyKFSsAcHNzY/HixXTv3l3lyopuxYoVvPvuu7Rv355jxmzc+AhTp05l+vTpTJgwgdmzZ5vlmg+7e/cuXbt25ejRo9SrV4+goCBq166tSi0lUV4B2c7OLtcSawnIQoiSSsKyEKVUQkKCXoA+e/YsiYmJBo+vWrWqwRAt27EIS3Ps2DHee+89zpw5A0CvXr1YuHAhderUUbmywktOTqZWrVokJiZy7Ngx2rdvb/Jrvvjii+zdu5ctW7bQu3dvk1/vYffv3+ell17i8OHD1KlTh6CgINzk9qAii4+Pz9WkSwKyEKI0k7AshMimKArXrl3TC9HBwcHcu3fP4Dm1atXSC9Cenp6UK1fOzNULkX+ZmZksWbKEqVOncu/ePcqVK8dnn33GBx98gJ2dndrlFcrEiROZM2cO/fv35/vvvzfptbRaLS4uLiQlJREbG0utWrVMer2HJScn0717dw4ePEjNmjUJCgrC3d3drDWUJPHx8bmadElAFkIIHQnLQojHUhSFS5cu6YXokJAQUlNT9Y63srKiXr16eiG6cePGODg4qPAKhDAsLi6ODz/8kC1btgDQtGlTli1bxlNPPaVyZQV38eJF6tevj42NDRcvXqR69eomu1ZoaChNmjShRo0axMXFmew6hqSmptKzZ0/27NmDq6srQUFBNGzY0Kw1lAQSkIUQ4vEkLAshCk2j0XDhwgW9WeiwsDAyMjL0jrexscHDwyNXV25vb+/sfWKFUMuuXbsYOXIk0dHRAAwaNIjZs2db3B69r7/+Olu3buWTTz7h888/N9l11q5dy9tvv82rr77Kjz/+aLLrPCwtLY3XXnuNX3/9lapVq3Lo0KES1dnc1B4XkPv06cMrr7wiAVkIIR6QsCyEMLqMjAwiIiL0QnRkZGT2m7Oc7O3tadSoUa5ZaG9vb+rVqyfbWwmzSUlJYebMmcyePZuMjAwqV67MnDlzePvtty3m7+Hvv/9Ox44dqVq1KpcuXTLZSo7hw4ezbNkyvvzySyZOnGiSazwsPT0dHx8ftm/fTuXKlTl06BDe3t5mubYlk4AshBCFJ2FZCGE2qamphIaG5grQwcHBxMTEGDy+bNmy2XtE5wzRtWrVku2thMmEhYUxfPhwDhw4AMBTTz3FsmXLaNq0qcqVPZ6iKLRs2ZIzZ86wdu1a/Pz8THKd1q1bc+rUKQ4ePEinTp1Mco2cMjMz6du3L1u3bqVSpUocOHCAFi1amPy6liorIG/atImgoKBcAfnFF1/Ex8dHArIQQuSDhGUhhOru3btHSEiIXoi+cuWKweOdnZ31lnJ7e3tTtWpVCdHCKBRFYcOGDYwZM4br169ja2vL6NGj+fTTT4t987rVq1fzzjvv0Lp1a06cOGH0fxMpKSk4Ozuj1WpJSkqifPnyRh3/YRqNhrfeeosffviBChUqsH//flq3bm3Sa1qi/ATknj17UrFiRZUrFUIIyyFhWQhRbCUmJmaH55wh+ubNmwaPr1y5st4stJeXFy4uLmauXJQUt2/f5qOPPmLZsmUoikLt2rVZvHgxPXv2VLu0PKWmplK7dm1u3rzJH3/8YfRmZUeOHOHpp5+madOm/Pvvv0Yd+2EajYaBAwcSGBiIk5MTe/fuNcu2WJbi+vXr2UusJSALIYTxSVgWQlic+Ph4vQB97tw5kpKSDB5fvXp1vRDt6emJk5OTmSsXlurEiRO89957nDp1CoAePXqwaNGiYruv70cffcTMmTPp06cPGzduNOrY8+fPZ+zYsQwePJhvv/3WqGPnpNVqGTJkCN999x3lypVj9+7dFtml3NgkIAshhPlIWBZClAiKohAXF6cXokNCQkhOTjZ4Tt26dfWWcjdu3JgyZcqYuXphCTQaDf7+/nz88cfcuXOHMmXK8MknnzBmzBjs7e3VLi+XuLg46tatC0BMTIxR90Hu27cvGzdu5Ntvv2Xw4MFGGzcnRVEYNmwY33zzDWXKlGHXrl107NjRJNeyBI8LyFlNuiQgCyGEcUlYFkKUaFqtlpiYGL1Z6PPnz5Oenq53vLW1Ne7u7noh2sPDo9gFIqGOq1evMmbMGH744QcAPD09WbZsGc8++6zKleWWFWonT57MzJkzjTZuvXr1iImJ4cyZMzRr1sxo42ZRFIVRo0axZMkSHB0d2bFjB507dzb6dYq7rIC8adMmfv/9dwnIQgihAgnLQohSKTMzk8jISL0QHR4ejkaj0Tve1tY2e3urnCG6fv362NjYqPAKhNr27t3L8OHDiYyMBGDAgAF89dVXVKlSReXKdP7880+eeuopKleuTGxsrFFWTMTHx1OtWjXKlStHUlKS0f/uK4rC2LFjWbBgAfb29mzfvp2uXbsa9RrF2aMCcteuXbO7WEtAFkII85CwLIQQOaSlpREWFqYXoqOjozH036WjoyNNmjTJFaC9vLyoU6eOxezNKwovNTWV2bNnM2vWLNLS0qhUqRJffvklgwcPVv3PX1EU2rVrx99//82qVat45513ijzmL7/8wiuvvELHjh05dOhQ0YvMQVEUJk+ezOzZs7Gzs+PHH3+ke/fuRr1GcXTt2rXsJdYSkIUQoniRsCyEEPmQnJzM+fPncwXo4OBgYmNjDR5fvnx5vLy89EJ09erVZXurEigiIoKRI0eyZ88eADp06MCyZcto3ry5qnUFBgbi5+dHs2bNOH36dJH/7n388cfMmDGDCRMmMHv2bCNVqfPpp58ybdo0bG1t2bx5M7169TLq+MVJXgHZ3t4+1z7IEpCFEEJdEpaFEKIIkpKSsveIzhmir1+/bvD4SpUq6S3l9vLy4oknnjBz5cLYFEVh8+bNfPjhh1y9ehUbGxtGjRrF559/rlrn9bS0NOrWrcv169c5dOhQkZtkdenShX379rF161Zee+01I1UJ06dPZ+rUqdjY2LBhwwZ8fHyMNnZxkTMgBwUFZa9UyQrIWfcgV6hQQeVKhRBCZJGwLIQQJnDz5k29pdzBwcEkJiYaPL5atWp6AdrLy0veOFugO3fuMHXqVJYsWYJWq6VmzZosXLiQ1157TZVVBZ999hmff/45r732Glu3bi30OFqtlkqVKnHnzh0uX75MzZo1jVLf7NmzmTRpEtbW1gQGBtKvXz+jjFscSEAWQgjLJmFZCCHMRFEUrl27phegz507x7179wyeU7t2bb0Q3aRJE8qVK2fm6kVBnTp1ivfee48TJ04A8NJLL7FkyRLq169v1jquXbtGnTp10Gg0REVFFXpv6PPnz+Pp6UnNmjW5fPmyUWpbsGAB49v6WgAAIABJREFUY8aMwcrKitWrVzNgwACjjKumrICc1aQrZ0DOeQ+yBGQhhCj+JCwLIYTKtFotsbGxeiE6JCSEtLQ0veOtrKyoX7++Xohu1KgRDg4OKrwCkReNRsOKFSuYPHkySUlJODo68tFHHzF+/Hiz/ln5+vry/fffM378eObMmVOoMdasWcPAgQOLPEOdZenSpYwcORLApHs2m4MEZCGEKJkkLAshRDGl0WiIjo7OFaCDg4MJCwsjMzNT73gbGxs8PDxyBWhvb28aNGiAra2tCq9AZLl+/Trjxo3j+++/B6BRo0b4+/vz/PPPm+X6J06coF27dlSsWJHLly8XamXCsGHDWL58ObNnz2bChAlFqmfFihW8++67APj7+zNs2LAijaeGa9eusXXr1uwmXRKQhRCi5JGwLIQQFiY9PZ2IiAi9EB0VFZXdVTcne3t7GjdurBei3dzcVN/eqLQ5cOAAw4cPJywsDID+/fszb948qlWrZvJrd+jQgWPHjrF8+fLsoFoQrVu35tSpU0VuFPbdd98xaNAgABYuXMioUaMKPZa5SUAWQojSRcKyEEKUECkpKYSGhurdDx0TE2Pw+LJly+Lp6akXomvWrCnbW5lQWloac+fOZfr06aSmplKhQgVmzZrF0KFDsbGxMdl1f/jhB9588008PT0JDg4u0J9xSkoKzs7OaLVakpKSKF++fKFq+P777/Hz80NRFObOncvYsWMLNY45PS4g9+nThx49ekhAFkKIEkjCshBClHB3794lJCRErzv3lStXDB5foUKF7OCc877oqlWrmrnyki06OpqRI0eya9cuANq2bcvy5ctp1aqVSa6XkZGBm5sbV65cYd++fXTu3Dnf5x45coSnn36apk2b8u+//xbq+hs3bqRfv35otVpmzpzJ5MmTCzWOOWQF5E2bNnH48GEJyEIIUUpJWBZCiFLq1q1bnDt3LleIDg4OJiEhweDxTzzxhN4stJeXF5UqVTJz5SWHoij8+OOPfPDBB8TFxWFtbc2IESP44osvTBLEsvYz7tGjB9u3b8/3efPnz2fs2LEMHjyYb7/9tsDX3bp1K2+88QYajYbPPvuMTz/9tMBjmNqjAnK3bt3w8fGRgCyEEKWMhGUhhBDZFEUhPj7e4B7Rd+7cMXhOjRo19EK0p6dnoZfqlkZ3797ls88+Y+HChWg0GqpXr86CBQvo06ePUZfE37hxg9q1a2ff9+7u7p6v89544w02bdpUqK7V27dvp3fv3mRmZvLRRx/xxRdfFJtl/levXs1eYi0BWQghxMMkLAshhHgsRVG4fPmyXog+d+4cKSkpBs9xc3PTW8rduHFjHB0dzVy95Thz5gzDhg3j6NGjAHTp0oWlS5fi4eFhtGsMHDiQNWvWMHr0aObPn5+vc9zc3Lh48SL//vsvTZs2zfe1fv31V3r16kVGRgbjx49n9uzZqgdlCchCCCHyS8KyEEKIQtNqtVy4cEEvRIeGhpKenq53vLW1NQ0aNNAL0R4eHtjZ2anwCoofrVbLqlWrmDhxIomJiTg4ODB58mQmTpxolA8a/vnnH1q1aoWzszOXL1/Gycnpkcdfv34dV1dXypcvz+3bt/PdhGzPnj288sorpKWl8cEHH7BgwQLVgrIEZCGEEIUhYVkIIYTRZWZmEhkZqbeUOyIiAo1Go3e8nZ0djRo10gvR9erVM2mH6OLsxo0bjB8/nrVr1wLQoEED/P396dKlS5HHfvbZZzl8+DBLlixhxIgREBMDf/8NJ0/CP//ArVuQng729sRnZrLqn39I9fTk8507wc3tseMfOHCA//u//yM1NZXhw4ezZMkSswflxwXkrCZdzs7OZq1LCCGE5ZCwLIQQwmzS0tIICwvTC9HR0dEGj3d0dMTT0zNXgPby8qJOnTqqL+c1l99//51hw4YREhIC6O4fnj9/PjVq1Cj0mFu2bMHXx4cPqlVjVp06WJ04kf+T27aFESOgTx8oU0bv6cOHD9OtWzeSk5MZMmQIy5cvN9t+3lkBedOmTfzxxx8SkIUQQhSJhGUhhBCqu3//PufPn88VoIODg7l8+bLB452cnPDy8tIL0a6uriUyRKenp7NgwQI+//xzUlJScHJyYsaMGQwfPrzgM+8aDZr587kzaRKVtNrCF+XiAlOmwIcfwoMajh49yosvvsi9e/d4++23WbVqlcmD8pUrV7JnkHMGZAcHh1xLrCUgCyGEKCgJy0IIIYqt27dvExISohei4+PjDR7v4uKit7WVt7c3lStXNnPlphETE8OoUaP45ZdfAGjVqhXLly+nbdu2+RsgNBQGDoRjx4xX1JNPwurVHL9zhy5dunDnzh369+/P2rVrTbaEXgKyEEIIc5CwLIQQwuLcuHEjOzznDNG3b982eLyrq6veLLSXl5fFhqmff/6Z999/n9jYWKysrBg2bBgzZsygYsWKeZ+0bh0MGgRpaUavR2tvz3u2tnybnEyfPn1Yt24dtra2Rr2GBGQhhBDmJmFZCCFEiaAoClevXtUL0OfOneP+/fsGz6lTp45eiG7SpAlly5Y1c/UFd//+faZNm8b8+fPJzMykWrVqzJs3j379+ukvRV+xAt5916T1aIFvWrRg8PHjRuts/riA3KdPH7p37y4BWQghiuoRjR5xcYGWLaF1a2jTJl+NHksKCctCCCFKNK1Wy6VLl/RC9Pnz50kzMMtqZWWFu7u73lLuRo0aYW9vr8IreLTg4GCGDRvGH3/8AcDzzz/P0qVLady4se6AdevgrbfMUotiZYVVYCD071/oMbIC8qZNmzhy5IgEZCGEMJWUFNi4Efz9wYiNHksSCctCCCFKJY1GQ1RUlN4sdFhYGJmZmXrH29ra4uHhkWsW2tvbG3d3d6MvOS4orVbL2rVrGT9+PAkJCdjZ2TFx4kQ+6t0bxyef5G5aGgeBE8DfD35OeHDueaDxY8Y/B8wFDgDXAGegFTAM6PXwwQ4OcPo0NH7cqP95VEB+6aWX8PHxkYAshBDGotHA11/DzJm6GeTCMtDosaSRsCyEEELkkJ6eTnh4uF6IjoyMxNC3TAcHBxo3bqwXouvWrWu2LZOyJCQkMGnSJFauXIk1cMLBgVZpaWwDXs3jnMeF5e+BQUD6g19XBO4DGQ9+PRxY+vBJHTrA4cOPfPMUFxeXvcRaArIQQpiJCRs9FuRDUkshYVkIIYTIh+TkZEJDQ/VC9MWLFw0eX65cOTw9PXMFaG9vb2rUqGHy7a2OHDnC0ddfZ9y1ayjAz8C7QBugLVATGPrg2EeF5ZNAB3TB+P+AxUA9IA1YC4x68LU/ulnmXObOhbFjcz0kAVkIIVRkwkaPODjAqlVFug2nOJKwLIQQQhTB3bt3s7e3ynlf9NWrVw0eX6FCBb1ZaG9vb6pUqWK8olJSUGrVwurB8joNkHOONwZd6IVHh+VXgW1AHSAMcHzo+ZnAR8ATwEUgV1s0Fxe4fJm4W7ceG5B79OiBk5NT4V6rEEKIxzNDo0esrGD5chg69PHHWggJy0IIIYQJ3Lp1S28WOjg4mISEBIPHV6lSRS9Ee3l5PXo7qLysWaNbZpeHGB4fljXo7k1OBmYBkwwckww4oeuEvQXo/dDz0z08mBoRkf3rrICc1aRLArIQQpiBGRs9YmUFRWz0WJxIWBZCCCHMRFEUrl+/bjBE37171+A5NWvW1JuF9vT0pFy5cnlfqF27R3Y2jeHxYfk64Prg658w0MjrATd0s8rvAcseeu4voKMEZCGEUE9oKLRogVUBll4fAjrm+HUM/33PeJQT6G73KUyjx+JKwrIQQgihMkVRiI2NzQ7OWT+HhISQkpJi8Jx69erphehGjRrheO0a1Hv025oYHh+W44FqD742NGucpRYQBzwD/J7zNQFWwL2zZynv7f3IeoQQQpiARgNPPw3HjmV/+JmXO0AKYA9cASrneC6G/75nVCNvu4HmWb/IR6NHSyBhWQghhCimNBoNMTExerPQoaGhZGRk6B1vbW3NSFdXFl658shxY8jfMuwK6DpfTwOmGjgmCaiELhi7A5GGLrZlC/TOK2oLIYQwmXnzYNy4fB3aAjgDvAZsfei5GP77nlGg4Gig0aOlkbAshBBCWJiMjAwiIyNzBejg4GAiIiKYrtUy+THnx5C/Bl+90HXSroYuCJd/6PmP0DX5AqiKbum2nsmTdXt5CiGEMJ+UFKhVK1/7KJ8GWj74+mfglYeej6GQYflBo0fKlCnIWcWKrdoFCCGEEKJg7OzsaNKkCU2aNMHHxyf78dTUVNI7d4Y//zTKdT4CdqILwd2AeejeUN0CVgGzATt0W0vluaP0qVNGqUUIIUQBbNyYr6AMuq0AAaoALxuzhlu3YNMmGDDAmKOalYRlIYQQooRwdHTE0cDy7MJqC6wEhgBHgCcfer4BujdWi4C8enZH/f03M955BxsbG70ftra2Bh83xXPGGs/Ue2QLIYRR+Pvn67BMYP2Dr/tjgnDo7y9hWQghhBDFRHq6UYcbALQHlgB/oJtVrgZ0B8YAWXejeeRx/t2EBFavXm3UmtRkZWVltmBuyR8qPOo5a+s81yEIIYwhJuaROyLktAtdQ0fQ/X//OB2Ac+hWFLkCT6HbDeHpvE44flxXj5tbvuopbiQsCyGEECWAoijExcXhnJqKs5HHbowuLBvyx4OfO+TxfM369Vk5ZQoajcbgj8zMzAI/V5hzjDGeVqtFURQyMzPJzMwkrQBbsYjcLP1DALVrt7a2llUOIm9//53vQ9c8+LkZuiZfj3MMXfNH0N3LHAOsAz4AFqDbBUHPyZMSloUQQghherdv3yY8PJzw8HDCwsKyvw4PDyc5OZld6O4vNoe/0DUIswL65nFMFQ8PBg0aZKaKTEtRFLRabbEK+pZ4LSDX16JwrK2tS9yHAOYer8R+4HDyZL4OuwXsePD12484zhEYju7/+Zbomj0qwD/AZ8AvwEJ0jR6n5FWPhe6KIGFZCCGEKGbS0tKIiooyGIrj4+PzPK9KlSrcdHDQdR81sWRg5IOv+/Jfp1Q9rVqZvBZzybkEWxReaf7AwVjjZX1wk27k2y5KGysrq2IR9I19rY67dj12X2WADUA6ukDY/xHHuQJLH/69A1oB24E+wGZ0uyMMx0APCwtu9ChhWQghhFCBVqvl8uXLBgNxTEwMWq3W4HllypShYcOGNGrUiIYNG2Z/7eHhQaVKlXT7GufokJ3lZo6vE3N8ffuh51zI3dn6ff6bTSiLbv/lIGAi8DdQC92MQp5at37Us6IUsra2xtraGjs7O7VLsViKopToDxXMca2s2yoyMjIM7ltvyf6CfIXlrC7YL6GbFS6s2ejC8n1gP6A3h5yY+PAjFkPCshBCCGFCiYmJuYJw1tcRERGkpKQYPMfa2hp3d3eDobhGjRqPbpDUpo3Bh6vkcfjD9xpfANxy/HoJ/92vXBHdm6Gst5UN0W0tZWhsBd3Mw+Vq1aiVd7VCiELImhG1tbXFwcFB7XIsUtbsvCUG/cc9V2XPHkhKeuTrPw9ktQAraq/qeui+D9wAog0dYMH9HSQsCyGEEEWUmppKZGSkwVnimzdv5nletWrVcgXhrK/d3d2xt7cvXDFubtC2bb47oT7ObHQzBSHo3gg5o2v41Qd4F8jrbboVutmNJ595hk6dOuHn50fv3r1xdjZ2+zEhhCi4En1bRbt2j/0esObBzy5ADyNcUnnws8G7wC34Ax0rRVGUxx8mhBBClG5arZbY2FiDs8QXL14kr2+n5cqVMxiIGzZsSIUKFQyeU2Rr1sDAgaYZuwCWtW/PmDNnSE1NBXRLyHv16oWfnx8vvPACtrbymb0QQhhdt26we3eeT2uB2sAVYAR573aQXxeA+g++3gy8/vABXbvCb78V8SrqkO9SQgghRA4JCQl6s8NhYWFERkZmh76H2djYUL9+fYOhuEaNGmbtuHrx4kU+3rGDr4HKZruqAS4uDDt0iP7p6WzdupWAgAAOHTrEhg0b2LBhA66urvTv3x8/Pz+aNWumZqVCCFGytGz5yLC8F11Qhvwtwc66rSYvWR2wywDPGzrAghs9ysyyEEKIUiclJYXIyEi9rZfCwsK4detWnue5urrq3UPcsGFD6tWrV/hl00Zy9+5dvvzyS+bNm0daWhoTbW35MjPzsW9yTGbuXBg7NtdDMTExrFu3joCAAMLDw7Mfb968Ob6+vvTr14/q1aubu1IhhChZ8mj0mKUfuk7YnsC5fAzXEd2WhD2AJoANugB9GpgGbHtw3GfAp3nVY6FbR0lYFkIIUSJpNBouXbpkcJY4NjY2z2XT5cuXNxiIPTw8iuX9tlqtlrVr1zJlyhSuXbsGQL9+/Zg1fTp1+vWDY8fMX1SHDnD4MORxL6CiKBw/fpyAgAB++OGH7A8orK2tefHFF/Hz86Nnz56ULVvWnFULIUTJEBMD9Qxv6HcHXafsFHQ9KSbkYzg34OKDr+3Q9a5IfjBGlpHAIvL4cPbCBV0/DQskYVkIIYTFUhSFmzdvGmysFRkZSVoeHThtbW2pX7++wVDs6upq1mXTRREUFMTo0aP5559/AGjfvj0LFiygQ4cHPa5DQ6FFC/N2InVwgDNnoFGjfB2elpbGr7/+SmBgIDt27MjewsXJyQkfHx/8/Px45plnHt0BXAghRG55NPlaCQxBt0VgLFAjH0NtRrd0+zhwDbgF2KPbOvApYCjQ/lF1/PVXAYsvPiQsCyGEKPaSk5OJiIgwOEt8+/btPM+rUaOGwe2X3NzcLHqP1+joaCZMmMDWrVsBqFWrFrNnz6Zv3776oXLdOvD1BXN8u7eygsBA6N+/UKcnJCSwceNGAgIC+CvHm6u6devi6+uLr68vDRs2NFa1QghRchWTRo+sWQMDiro5lXokLAshhCgWNBoNMTExBmeJY2Nj8zzPycmJRo0a6XWa9vDwwMnJyYyvwPTu3LnDjBkz+Prrr0lPT6ds2bJMmjSJsWPHPnrJ8ooV8N57Jg3MWuDs8OE0X7rUKOOFhYURGBhIYGAgly5dyn68ffv2+Pn58cYbb1C5sqotzIQQovhKSYFateARfThMzsUF4uLA0VG9GopIwrIQQgizURSF+Ph4vaZa4eHhREVFkZ6ebvA8Ozs73N3dDc4SV61a1WKWTReWRqNh1apVfPzxx9y4cQMAPz8/Zs6cSc2aNfM3yLp1MGgQpKUZvelXhq0tb2dm8lOZMuzfv/+/ZeBGoNVqOXz4MAEBAWzevJm7d+8Cur8T3bt3x8/Pj5dffln1BmtCCFHszJsH48apd30DjR4tjYRlIYQQRnf//n2DgTg8PJykpKQ8z6tVq5bB7Zfc3NxK7Z68+/fvZ8yYMfz7778APPXUUyxYsIC2bdsWfLDQUJSBA7EyZtOvDh1QvvuOIXPnsmrVKlxcXDhy5AiNGzc23jUeSE5O5ueffyYgIIA9e/ag1WoBcHFx4c0338TPz4+2bduW+A9PhBAiXzQaePrpYtno0VJIWBZCCFEomZmZxMTE6N1DHB4eTlxcXJ7nVahQIc9u0+XKlTPjKyjeIiIiGDduHNu3bwd09+3OmTMHHx+fIoXBzRs3cqxvXz62tqbSg7BZKC4uMGUKfPgh2NiQmZnJq6++yo4dO6hTpw5Hjx6lRo38tI4pnKtXr7J+/XoCAgKyP0gAaNiwIX5+frz11lvUrVvXZNcXQgiLYAGNHoszCctCCCHypCgK169fN9hYKyoqiszMTIPn2dvb06BBA4OzxFWqVJGZv0dITEzkiy++YMmSJWRkZFC+fHmmTJnC6NGjcSzifV9arZZmzZpx7tw5VixcyJAKFcDfH44fz/8g7drBiBG6PTzLlMn1VHJyMp07d+bYsWM0bdqU33//nYoVKxap5vw4c+YMgYGBrFu3Lnv7LIBOnTrh5+dH7969i+W2X0IIYRYW1OixuJGwLIQQgrt37xIREWFwljjrHlFDateubXCWuG7duthY+NIrc8vMzGTFihV88sknJCQkYGVlxTvvvMP06dNxdXU1yjW2bNmCj48PtWvXJiIiAgcHB90TMTFw8qTux6lTkJgIaWncSk7meEQESfXr88acOdC69WP3ykxISOCpp54iLCyMjh078ttvvxU55OdXZmYm+/btIyAggJ9++onU1FQAypQpQ69evfDz8+OFF14otUv6hRClmBkaPWJlBcuXw9ChpruGmUlYFkKIUiIjI4MLFy4YnCW+evVqnudVrFhRr9t0o0aNaNCgwaM7MIt82717N2PGjCEkJASAjh07smDBAlq2bGm0a2i1Wpo3b05wcDDLli3jvffee+w5586dw9vbG3d3dyIjI/N9rYsXL9KhQweuXr3K66+/zg8//GD2D0/u3LnDli1bCAgIICgoKPtxV1dX+vfvj5+fH82aNTNrTUIIoaocjR6NztERVq4sMTPKWSQsCyFECaIoClevXtULxOHh4URHR+e5bNrBwYEGDRoYnCWuXLmyLJs2kfPnzzN27Fh27doFQP369Zk7dy69evUy+u/51q1bef3116lVqxaRkZH/zSo/QlpaGmXKlMHKyork5OR8nZPl33//5ZlnnuHOnTuMHDmSRYsWqfb3KCYmhnXr1hEQEEB4eHj2482bN8fPz49+/foZbfZeCCGKtdBQ3f7LRm70yOrVJeIe5YdJWBZCCAt0584dg52mw8PDuXfvnsFzrKysqFOnjsHtl2rXri3Lps0oISGBzz//HH9/fzQaDc7OzkydOpX333+/QIE0v7RaLS1atODs2bP4+/szbNiwfJ9bv359Lly4QEhICE2aNCnQdQ8dOkTXrl1JT09n1qxZTJo0qaClG5WiKBw/fpyAgAB++OEHbj3Yf9Ta2pquXbvi6+tLz549ZcWEEKJk02jg669h5syi7cP8UKPHkkjCshBCFFPp6elER0cbDMU5mxg9rHLlygYbazVo0IAyDzVkEuaVkZGBv78/n3/+OYmJiVhbWzNkyBCmTZtG1apVTXbdH3/8kd69exdoVjnLSy+9xG+//cZPP/1Er169CnztzZs388Ybb6AoCqtXr+btt98u8BimkJaWxq+//kpAQAA7d+4kIyMDACcnJ3x8fPDz8+OZZ57B2tpa5UqFEMJEUlJg0yajNnosaSQsCyGEihRFIS4uzuCexBcuXECj0Rg8z9HREQ8PD4OhuHLlymZ+FeJxFEVh586djB07NnsZ8AsvvMD8+fNp2rSpSa+t1Wpp2bIl//77L0uXLmX48OEFOv+DDz5g0aJFzJ49mwkTJhSqhsWLFzNq1ChsbGz45ZdfeOmllwo1jqkkJCSwceNGAgIC+Ouvv7Ifr1u3Lr6+vvj6+tKwYUMVKxRCCBPLo9EjDg5QqRK0aqVr8piPRo8liYRlIYQwg9u3bxsMxOHh4SQnJxs8x8rKCjc3N4OBuHbt2jLjZSHOnj3LmDFj2LdvH6DbB3jevHn83//9n1nu4c2aVa5ZsyZRUVEFXubt7+/PiBEjeOedd1i1alWh65gyZQqzZs2ibNmyHDx4kHbt2hV6LFMKCwsjMDCQwMBALl26lP34k08+ia+vL2+88YZ8ICWEEKWEhGUhhDCStLQ0oqOjDW6/FB8fn+d5TzzxhMHGWu7u7mbbckcY340bN/jkk09YsWIFWq2WihUr8umnnzJ8+HDs7e3NUoNWq6VVq1acOXOGJUuWMGLEiAKPsW/fPrp06cLTTz/N4cOHC12LoigMHDiQtWvX8sQTT3DkyJFiPVur1Wr5/fffCQgIYPPmzdm9AOzs7OjevTt+fn68/PLLZvuzFEIIYX4SloUQogC0Wi1xcXEGA3FMTAxardbgeWXKlMHDw0MvFHt4eODi4mLmVyFMKS0tjcWLF/PFF19w584dbGxsGDZsGJ999pnZZyR/+uknXnvtNWrUqEFUVFShPnyJjY2lTp06VKlS5ZEf+uRHRkYGPXv2ZNeuXbi5uXH06FGL6EKdnJzMzz//TEBAAHv27Mn+d+7i4sKbb76Jn58fbdu2la7xQghRwkhYFkIIAxITEw3uRxwREUFKSorBc6ytrXFzczM4S1yzZk1ZNl3CKYrCtm3bGD9+PFFRUYCuOdbcuXPx9PRUpZ5WrVpx+vRpFi9ezMiRIws1jlarpXz58qSkpHDr1i0qVapUpLru37/Pc889x4kTJ2jRogVBQUE4OzsXaUxzunr1KuvXr2ft2rWcPXs2+/GGDRvi5+fHW2+9Rd26dVWsUAghhLFIWBZClFqpqalERUXpbb0UFhbGzZs38zyvatWqBrdfql+/vkm2/RHF3+nTpxk9ejSHDh0CoEmTJsybN0/VRlbbtm3j1VdfLdKscpYWLVpw5swZjh07Rvv27Ytc240bN/jf//5HZGQknTt3ZufOnRb5b+fMmTMEBASwfv36XB3qO3XqhJ+fH71797aoDwKEEELkJmFZCFGiabVaYmNjDc4SX7x4kbz+CyxbtqzBxloNGzakYsWKZn4Vori6du0aH3/8Md999x2KouDi4sK0adMYOnQodnZ2qtWVc1Z50aJFvP/++0Uar0+fPmzevJmAgAB8fX2NUmN0dDT/+9//uH79On379mXdunUWu/oiMzOTffv2ERAQwE8//URqaiqgu/3i1Vdfxc/Pj86dO2Nra6typUIIIQpC/tcWQpQICQkJBjtNR0REZL9xfZiNjQ316tUzGIhr1qwp9x+KPKWmprJgwQJmzpzJvXv3sLW15f3332fq1KlFXqZsDNu3b+f06dNUr16dIUOGFHm8Ro0aAbpO0cZSv359du3aRceOHfnhhx9wdXVl/vz5FvnvztbWlm7dutGtWzfu3LnDli1bCAgIICgoiPXr17N+/XqqV69Ov3798PPzo1mzZmqXLIQQIh9kZlkIYTFSUlKIjIw0GIoTEhLyPM/V1dXgLHH9+vWlk60oEEVR2LJlCxMmTCAmJgaAHj16MHfu3GLT2VlRFFq3bs0///xJYkBsAAAgAElEQVTDwoULGTVqVJHHDAwMxM/PDx8fHzZt2mSEKv+zb98+Xn75ZTIyMvjqq68YN26cUcdXU0xMDN9//z0BAQFERERkP968eXP8/Pzo16+fRTQ4E0KI0krCshCiWNFoNFy6dMlgIL506VKey6bLly+fa2Y4KxR7eHhQoUIFM78KURL9/fffjB49mj/++AOApk2bMn/+fF544QWVK8tt+/bt9OzZk+rVqxMVFUWZMmWKPObx48dp3749zZo148yZM0aoMrcNGzbQr18/QBfM33rrLaNfQ02KonD8+HECAgLYsGEDiYmJgK4pYNeuXfH19aVnz56ULVtW5UqFEELkJGFZCGF2iqKQkJBgcPulyMhI0tLSDJ5nY2ODu7u7wVBcvXp1i1y+KYq/uLg4pkyZQkBAAABVqlRh+vTpDBo0CBsbG5Wryy3nrPLXX3/NBx98YJRxb9++TaVKlShTpgz37t0zyb3FCxYsYMyYMdja2rJz505efPFFo1+jOEhLS+PXX38lICCAnTt3kpGRAYCTkxM+Pj74+fnxzDPPWOz920IIUZJIWBZCmExycjIRERF6nabDw8OzZ1YMqV69usHtl+rVq6dq0yRRuiQnJzNv3jy+/PJLkpOTsbe358MPP2TKlCnFdrXCL7/8wiuvvIKrqyvR0dFGmVXOUq1aNeLj47l48SJ16tQx2rg5jR8/nrlz51KuXDkOHTpEmzZtTHKd4uLmzZts3LiRgIAAjh8/nv143bp18fX1xdfXt9gs7xdCiNJIwrIQokg0Gg0XL140OEscGxub53lOTk4Gt1/y8PDAycnJjK9AiNwURWHDhg1MnDiRy5cvA/Daa68xZ84c3N3dVa4ub4qi0KZNG06dOmXUWeUszzzzDH/88Qd79+412dJzrVaLn58f69ato0qVKvz55580aNDAJNcqbsLCwggMDCQwMJBLly5lP/7kk0/i5+fHG2+8gYuLi4oVCiFE6SNhWQjxWIqicOPGDYPbL0VFRZGenm7wPFtb2+xl0w+H4mrVqsmyaVHsHDt2jNGjR3Ps2DEAWrZsyYIFC+jYsaPKlT3ejh076NGjh0lmlQEGDx7MqlWrWLJkCSNGjDDq2Dmlp6fTvXt39u7di7u7O0eOHKFatWomu15xo9Vq+f333wkICGDz5s3cu3cPADs7O7p3746fnx8vv/yyNCcUQggzkLAsjCsmBv7+G06ehH/+gVu3ID0d7O3BxQVatoTWraFNG3BzU7ta8ZD79+8TERGRKxBnheKkpKQ8z6tZs6bBQOzm5ib7igqLEBsby6RJk1i/fj2g66A+Y8YMBgwYUOzuSzZEURTatm3LyZMnWbBgAR9++KHRrzFnzhwmTpzIqFGjWLhwodHHz+nu3bt06tSJU6dO0bp1aw4ePFgqV5wkJyezbds2AgMD2bNnD1qtFoDKlSvTt29f/Pz8aNu2rXzwKIQQJiJhWRRdSgps3Aj+/nDiRP7Pa9sWRoyAPn3AyDMgIm+ZmZnExMQYnCWOi4vL8zxnZ+fsMJwzFHt4eFC+fHkzvgIhjOfevXvMmTOHuXPnkpKSgoODA2PHjmXSpEkWFc52/j97dx5XY97/cfx12rNF9p1RirGFTGWZLLeIYWhGqM5g3MZgjLIMGctt35fhZhjraUKmIUMJw1jGvu8RFYNiLJMtpTq/P476GXdMUV3nnD7Px+M81NU51/X2EPqcz/X9fMPD6dixI2XLliU2NjbXu8oAmzZt4uOPP8bDw4PIyMhcP/+rbt++jZubGzExMbRt25bNmzcX6G5qfHw8a9asYfXq1Zw9ezbzuIODA35+fvj6+lK1alUFEwohhPGRYlm8vbQ0mDcPpkzRdZDflq0tBAbCkCFgAB0cQ6DVarl9+3aW2y9dvXo1c/rqq8zNzbGzs8tyT+IyZcpI90IYjfT0dIKCgggMDOTWrVsAeHt7M23aNKoZ2F0vWq2WJk2acOzYMebMmYO/v3+eXOfixYvUrl2b6tWrExMTkyfXeNWVK1dwc3Pjzz//xMfHB41GI1OigdOnT6PRaAgODub27duZx93d3VGr1Xh5eVGsWDEFEwohhHGQYlm8nago6N0bXqzryxUuLrByJTg65t45jdyjR48yp02/euv0w4cPX/u6ypUrZ1kQV61aVW6bFkbv999/x9/fn2PHjgHg7OzM3Llzadq0qcLJ3s7LXeWYmJg826s3JSUFa2trtFptZhc+Pxw7dgx3d3eePHnC8OHDmTFjRr5c1xCkpqayY8cOgoKC2LhxI8+ePQPA2tqaLl26oFarad26tfy7LoQQb0mKZZFzwcHw+efwmr1w34mlJSxfDj4+uX9uA/X8+XNiY2Oz7BJndMSyUrx48Sy3X7Kzs6Nw4cL5+DsQQj/ExsbyzTff8NNPPwFQoUIFpk2bho+Pj8F2K7VaLR988AFHjx5l9uzZBAQE5On17OzsuHr1KufOneP999/P02u9bNu2bXTs2JHU1NQ87Z4bssTERH7++Wc0Gg179uzJPF6+fHl69uyJWq2mXr16CiYUQgjDI8WyyJmlS+GLL/L2GioVfP899OuXt9fRI1qtlvj4+Cz3I46JiSE1NTXL11lYWGBnZ5dlUVyqVCm5bVoIdHdgTJ06lTlz5pCcnIy1tTUjRoxg+PDhBv/GUUREBB06dKBMmTLExsbmWVc5Q4cOHYiIiGDDhg106dIlT6/1qqCgINRqNQBr166le/fu+Xp9QxIXF8ePP/6IRqMhOjo683j9+vVRq9X07NmTcuXKKZhQCCEMgxTLIvuCg8HXN3+upVJBUJDRdZgfPnyYZUF8+fLlzO1BslKlSpW/FcQZRXGVKlUMYlKvEEpIS0tj1apVjB49OnNdp4+PD1OnTqVy5coKp3t3Wq0WFxcXjhw5wqxZsxg6dGieX9Pf35958+YxdepURo4cmefXe9XMmTMZMWIE5ubmbN26ldatW+d7BkOi1Wo5fPgwGo2GdevW8eDBAwBMTEzw8PBArVbTuXPnPBkIJ4QQxkCKZZE9UVHQoEGWt14/BmoBN158vhLo9cpzHgKbgO3AUeA6oAUqAC2AwYDTqye2tIRTpwxuDXNKSgqxsbH/M2n68uXLJCQkvPZ1JUqUwMHB4X+6xDVq1MjzbpEQxmb37t34+/tz6tQpAFxcXJg3bx4ffPCBwslyz9atW/H09KRMmTLExMTkS5f8+++/58svv6R3796sWLEiz6/3Kq1WS0BAAPPmzaNo0aLs2bMHJ6f/+d9DZCE5OZmIiAg0Gg3h4eGZgx6LFSvGp59+ip+fH82bNzfYJQlCCJEXpFgW/ywtDZo1e+0wryHAyztuZlUs2wNXXvq8ELpiOenF56bAdOB/+iKurrBvn95NydZqtdy6dSvL7ZdiY2NJS0vL8nWWlpbY29tnuSdxyZIl8/l3IYTxuXr1KsOHD2fjxo2AbpjdjBkz8Pb2NqplCVqtFldXVw4fPszMmTMZNmxYvlx3165dtG7dGjc3N/bv358v13xVeno6PXv2JCQkhLJly3Lw4EGqV6+uSBZDdffuXUJCQtBoNBw5ciTzeNWqVfHz88PPz4+aNWsqmFAIIfSDFMvin82eDa/5QewE0ARoDBx+cSyrYrkaYAv0BToAVYF04By6Yvu3F88LBzxfvcisWZAPtxdmJTExMcuCODo6midPnmT5GpVKRdWqVbOcNl2lShV5116IPJCYmMikSZOYP38+z58/p3DhwowcOZKhQ4ca5S2mkZGRtG/fntKlSxMbG5tva69v3LhB5cqVKVWqFH/++We+XDMrycnJeHp6smvXLuzt7dm/fz+lS5dWLI8hu3TpEkFBQQQFBXH9+vXM4y4uLqjVary9vbG1tVUwoRBCKEeKZfFmSUlQqVKW+yinAx8AJ9HdWt3wxfGsiuV9QPPXXQJoBFwE3Pn/wjmTrS3cuAF59ANvcnIyMTExWRbFd+7cee3rSpUqlWVBbGdnh5WVVZ5kFUL8XWpqKsuWLWPs2LGZxVuvXr2YPHkyFSpUUDhd3ni5qzxjxgyGDx+er9cuUqQIT58+5d69e4oWUQ8fPqRFixacPn0aZ2dndu3aRZEiRRTLY+jS09PZu3cvGo2Gn376KXOOhrm5OR07dkStVuPp6YmFhYXCSYUQIv9IsSzebNUq3X7KWZiPris8CFgAZNzgmFWx/E/+A4wHiqJb35xljs8+y+FZ/196ejo3b97Mcj/i2NhY0tPTs3ydlZXV/wzVyvhY3mkXQlk7duwgICCAc+fOAdC8eXPmzp1Lo0aNFE6Wt7Zt20a7du0oVaoUcXFx+T7R28nJiVOnTnHw4EFcXFzy9dqvio+Px83Njbi4ONq3b8+mTZswNzdXNJMxePr0KWFhYWg0Gnbs2JH5f2TJkiXp3r07arUaZ2dno1raIIQQWZFiWbxZkyZw9Oj/HL6JbqhXIeASYMO7FcsLga9enC/Lm5ubNIHDh7P6yt88ePAgy0nT0dHRPH36NMvXqFQqqlWrluX2S5UqVZLbpoXQM5cuXWLYsGFs2bIFgGrVqjFz5ky8vLyM/od3rVaLm5sbhw4dYvr06YwYMSLfM3Tv3p2QkBBWrVrFZ+/wJmZuuXz5Mk2bNuXu3bt89tlnrFy50ui/D/JTfHw8a9asYfXq1Zw9ezbzuIODA2q1Gl9fX6pUqaJgQiGEyDtSLIvXi4uD1wxN6QpsBIKAjM2k3qVY/hQIRbf++bUlcWwsVKtGcnIyV65cybIoftMautKlS2dZEL/33nty27QQBuDBgwdMmDCBhQsXkpqaStGiRRk9ejRff/11gfk7vH37djw8PChVqhSxsbGK3HY8duxYJk6cSGBgIJMnT87362fl8OHDtGrViqdPnzJq1CimTJmidCSjdPr0aTQaDcHBwZnbsQG4u7ujVqvx8vKiWLFiCiYUQojcJcWyeL3QUPj00/85vBnoxP+uL37bYjljSFgasBjo/5rnTaxfn5UPH3Lt2rXX3jZtbW2d5aRpe3t7SpQokYNUQgh98fz5c5YsWcK4ceO4f/8+KpWKvn37MnHiRMqWLat0vHyj1Wpp2rQpBw8eVKyrDBAcHIyvry9eXl6EhoYqkiErERERdOrUibS0NL777ju++uorpSMZrdTUVHbs2IFGoyEsLIxnz54Buv+Du3Tpglqtpk2bNpjq2U4WQgiRU1Isi9cbNQqmTfvboSdAbSAeOPXi4wxvUyw/QlcoR6EbEHYYMHvNc6cAowETExOqV6+eZVFcoUIFuW1aCCOydetWAgICiIqKAqBly5bMmTOHBg0aKJws/+3YsYO2bdsq2lUGOHr0KE2aNKFu3bqcOXNGkQyvs2rVKnr37o1KpSIkJIRPs3jDV+SuxMREQkNDCQoKYs+ePZnHy5cvj4+PD35+ftSrV0/BhEII8fakWBav164dbNv2t0NDgTnACHT7Ir8sp8VyKtAF2AIUB46g24/5dW47OXE/OJgaNWrINE4hjNyFCxcYOnQokZGRANSoUYPZs2fTqVOnArkeVavV0qxZMw4cOMC0adP45ptvFMuSmJhI8eLFsbKy4smTJ3r3BuXUqVMJDAzEwsKCbdu24e7urnSkAiMuLo4ff/wRjUZDdHR05vH69eujVqvp2bMn5cqVUzChEELkjBTL4vVeGe51Ct1+yhXQbfP06vzVnBTL6YAaCEY31Gsb0Cw7ebIx5EsIYbju3r3L+PHj+f7770lLS8PGxoYxY8YwaNAgLC0tlY6nmIyucsmSJYmLi1N8i6Ry5cpx+/Zt4uLiqFq1qqJZXqXVahk8eDALFy6kWLFi7Nu3Tzqb+Uyr1XL48GE0Gg3r1q3jwYMHgO7OMA8PD9RqNZ07dzbKPdCFEMZFv94OFvolJeVvn36Nbl3xZEALPH7lkSH5xedZz57WvfZLdIWyBbpBYf9YKAMkJ2c7uhDCsKSkpDB37lzs7Oz473//i1ar5csvvyQ6OpqhQ4cW6EJZq9Xyn//8B4Bhw4YpXiiDbhIy6CaT6xuVSsW8efP45JNPePjwIe3atePatWtKxypQVCoVLi4uLFq0iPj4eDZs2MDHH3+MqakpW7dupUePHpQrV46+ffuyZ8+e184hEUIIpUmxLF7vlVudM37UUKPbD/nVR4b+Lz6vTdaGAEvRrU1eB7TNbp4C/MOyEMZKq9Xyyy+/UKdOHQICAkhMTORf//oXp0+fZtGiRZQuXVrpiIrbuXMn+/fvx9bWloEDByodB4CaNWsCum2b9JGpqSlBQUF8+OGHxMfH4+Hhwb1795SOVSBZWlrSpUsXNm7cyK1bt1i4cCFNmjTh4cOHLF++HHd3d9577z3GjBmjt99PQoiCS4pl8Xq2trl+ylHAd+i+8VajW7OcbTLNWgijcubMGf71r3/RuXNnoqOjcXBwYMuWLWzbto06deooHU8vvNpVLlq06D+8In/oc2c5g5WVFWFhYdStW5dLly7RsWNHnj593T1PIj+UKlWKgQMHcvjwYS5evEhgYCCVK1fm2rVrTJo0CQcHB1xdXVm8eDH3799XOq4QQkixLN7Ayelvn8ahu4X6dY8MK198HvfK6SYC09CtbV4K9MxpnoYNc/oKIYQeunPnDl988QVOTk7s3LmTEiVKMH/+fM6ePUuHDh0K5ACv19m1axe///47tra2DBo0SOk4mfS9s5yhePHibN26lSpVqnDo0CG8vb1JTU1VOpYAHB0dmTx5MnFxcfz222/07t2bIkWKcOjQIQYMGEC5cuXw8vJi06ZNpLyyLEwIIfKLFMvi9Ro1yrVTzQPGvvh4AfC5wnmEEPkvOTmZGTNmYGdnx9KlS1GpVAwePJgrV64wePBgzM3NlY6oV17uKg8dOlRvuspgGJ3lDBUrViQyMhJbW1u2bNlC//79kdmm+sPExAR3d3dWrFjB7du3CQ4OxsPDg7S0tMy1zhUqVGDQoEEcOXJE/uyEEPlKpmGL14uLg+rVs/30N03DNkHXbTYB/mkF4lGgclZfiI2FatWynUcIoR+0Wi0bNmxgxIgRxMTEAODp6cmsWbOoVauWwun0165du2jdujW2trbExsZSrFgxpSNlSklJoVChQqSnp/PkyRODmGp88OBBWrduTVJSEmPGjGHChAlKRxJvcOvWLdasWcPq1as5d+5c5nEHBwfUajW+vr5UqVJFwYRCiIJAOsvi9apVA2fnXDlVxjsy6cDtf3ikZXWCJk2kUBbCAJ04cQJ3d3c++eQTYmJiqF27NpGRkYSHh0uh/AZarZbx48cDEBAQoFeFMoCFhQXvvfceWq2WK1euKB0nW1xdXQkJCcHExISJEyeyePFipSOJN6hQoQLDhg3jzJkznDx5koCAAMqWLculS5cYPXo0VatWpWXLlqxcuZKHDx8qHVcIYaSkWBZvNmBAtp+asXa51xu+lp1HtXfMIYRQXnx8PH369KFx48bs3buXkiVLsmjRIk6fPo2Hh4fS8fTe7t272bdvHyVKlOCrr75SOk6WDGXd8ss++ugjlixZAsDAgQPZsGGDwonEP1GpVDRo0IDZs2dz48YNIiIi6N69O1ZWVuzevZs+ffpQrlw5fHx82LZtG2lpWb7lLoQQb0WKZfFm3t55MhU7R2xtdTmEEHovKSmJKVOmYG9vz8qVKzEzMyMgIIArV67w5ZdfYmZmpnREg6DPXeUMhrRu+WV9+/ZlwoQJaLVaevbsyb59+5SOJLLJzMyM9u3bs3btWhISEli2bBkffvghSUlJrFmzhnbt2lG5cmWGDx/O2bNnlY4rhDACUiyLN7O2hsBAZTMEBoKVlbIZhBBvpNVqCQkJwdHRkdGjR/PkyRM+/vhjzp8/z+zZsylevLjSEQ3G7t272bt3r153lcEwO8sZvv32W/r3709ycjKdOnX625pYYRhsbGz4/PPP2b17N7GxsUycOBF7e3vi4+OZNWsW9erVw8nJiTlz5pCQkKB0XCGEgZIBX+KfpaVBs2Zw6FD+X9vVFfbtA1PT/L+2ECJbjhw5gr+/PwcOHACgXr16zJ07l1atWimczDC5u7uzZ88eJk6cyLfffqt0nNfavXs3LVu2xMXFhYMHDyodJ8fS0tL45JNPCAsLo2LFihw8eJDKlbMcLykMhFar5fDhw2g0GtatW8eDBw8AMDU1pW3btqjVajp37mwQA+mEEPpBimWRPVFR0KABJCfn3zUtLeH0aXhxq58QQr/cuHGDwMBAgoKCAChTpgyTJ0+md+/emMobXG8lowAtXrw4cXFx2NjYKB3ptW7dukXFihWxtbXl3r17Ssd5K0lJSbRt25bff/+dWrVqZe5pLQxfcnIy4eHhaDQawsPDM/fXLlasGJ9++ilqtZpmzZphYiI3WQohXk+KZZF9wcHg5wf58S2jUkFQEPj45P21hBA58vTpU2bOnMn06dNJSkrCwsICf39/AgMD9XZ9raFo2bIlu3fvZsKECYwZM0bpOG+k1WopVqwYjx8/5s8//6RUqVJKR3orDx48oHnz5pw/f56mTZuyY8cO6Twambt37xISEoJGo+HIkSOZx6tVq4avry9+fn6ZywqEEOJlUiyLnFm6FPr3z9uCWaWC77+Hfv3y7hpCiBxLT09nzZo1jBo1ihs3bgDwySefMH36dN577z2F0xm+PXv24O7ubhBd5QyNGjXixIkT7N+/Hzc3N6XjvLU//vgDNzc3bty4QefOnQkNDZVhdEYqKiqKoKAggoKC+OOPPzKPu7i4oFar8fb2lrsLhBCZ5N4TkTP9+uk6vpaWeXN+Kyvd+aVQFkKvHDx4EFdXV/z8/Lhx4wYNGzZkz549/PTTT1Io55L//Oc/APj7+xtEoQyGOxH7VZUrVyYyMpLixYuzadMmBg4ciPQSjJOjoyOTJ08mLi6OXbt20atXL4oUKcKhQ4cYMGAA5cqVw8vLi02bNpGSkqJ0XCGEwqRYFjnn4wOnToGLS+6e19VVd1659VoIvXHt2jV69OiBm5sbR44coXz58qxcuZKjR4/SokULpeMZjb179/Lbb79hY2PD4MGDlY6TbYY8EftV77//Pps3b8bKyoqlS5cyceJEpSOJPGRiYkLLli1ZuXIlCQkJ/Pjjj3h4eJCWlsaGDRv4+OOPqVChAoMGDeLIkSPy5okQBZQUy+LtODrC77/DrFnvvg+zra3uPPv2yTAvIfTE48eP+fbbb3F0dGTdunVYWVnx7bffcvnyZXr16iVDcXLZy11lQ9pmK6OzbAzFMkCzZs1Yu3YtJiYmjBs3jh9++EHpSCIfFC5cGB8fHyIjI/njjz+YOXMmderU4d69e/z3v//lgw8+oFatWkyZMoXr168rHVcIkY9kzbJ4d0lJsH49LFoELw3O+EdNmsDAgfDpp7r9nIUQiktPT0ej0RAYGEh8fDwAPXr0YNq0aVSpUkXhdMZp3759tGjRAhsbG+Li4gyqWD5+/DiNGzfm/fffN6q9ir///nu+/PJLTExM2LhxI506dVI6kshnWq2W06dPExQURHBwMLdv3878WsuWLVGr1Xh5eVG0aFEFUwoh8poUyyJ3xcXB8eO6x4kT8OCBbrspS0soUQIaNoRGjXSPatWUTiuEeMnevXvx9/fnxIkTADRp0oS5c+ca9OAmQ9CmTRt27tzJuHHjGD9+vNJxcuTRo0cUK1YMS0tLnjx5YlRbho0bN44JEyZgZWXFzp075e9BAZaamsqOHTvQaDSEhYXx7NkzAKytrenatSt+fn60adPGqL7/hRA6UiwLIUQBFxsby4gRIwgNDQWgYsWKTJ8+nR49esjt1nnMkLvKGSpUqEB8fDwxMTFUr15d6Ti5RqvV0q9fP5YtW0aJEiXYv38/tWrVUjqWUFhiYiKhoaFoNBr27t2bebx8+fL4+PigVqupW7euggmFELlJfgoSQogC6uHDh4wcORJHR0dCQ0MpVKgQ48eP59KlS/j4+EihnA8y1ip//fXXBlkog/GtW86gUqlYvHgxH330EQ8ePMDDw4ObN28qHUsozMbGhs8//5w9e/YQExPDhAkTsLOzIz4+nlmzZlGvXj2cnJyYM2cOCQkJSscVQrwj6SwLIUQBk5aWxooVK/j222+5c+cOAH5+fkyZMoVKlSopnK7g+P3332nevDnFihUjLi6OEiVKKB3prXzxxRcsXbqU+fPnG9Qk7+x6+vQpbdq04eDBg9SpU4d9+/YZ7BsbIm9otVoOHz6MRqNh3bp1PHjwAABTU1Patm2LWq2mc+fOWMt8FiEMjrQNhBCiANm1axcNGzakX79+3LlzBzc3t8wf8qRQzl8vd5UNtVAG49o+KiuFChVi8+bNODo6cu7cOTp37py5ZlUI0N2F4OLiwqJFi4iPj+fnn3+mc+fOqFQqtm7dSo8ePShXrhx9+/Zl7969pKenKx1ZCJFN0lkWQogCIDo6muHDh7Np0yYAqlatyvTp0+nWrRsqlUrhdAXP/v37adasGcWKFSM2Nhbbd92CT0Fbtmzho48+ok2bNuzYsUPpOHnm2rVruLm5cevWLby8vAgJCZGBTuKN7t69y7p169BoNBw9ejTzeLVq1fDz88PPzw97e3sFEwoh/okUy0IIYcT++usvJk6cyIIFC3j+/DmFCxcmMDAQf39/uSVQQW3btmXHjh18++23TJw4Uek47+Ty5cs4ODhQpUoVrl27pnScPHX27FmaN29OYmIiAwcOZMGCBfJmk8iWqKgogoKCCAoK4o8//sg87uLiglqtxtvb26DfNBPCWEmxLIQQRig1NZUffviBsWPHcvfuXVQqFb1792bSpEmUL19e6XgF2oEDB2jatClFixYlLi7O4H9Afv78OYUKFSI1NZUnT55QqFAhpSPlqT179tC2bVtSUlKYPHkygYGBSkcSBiQ9PZ09e/ag0WgIDQ3l8ePHAFhYWNCxY0fUajXt27fHwsJC4aRCCJBiWQghjM727dsJCAjg/PnzALRo0YK5c+fSsGFDhStbMF4AACAASURBVJMJAA8PD7Zv324UXeUMDg4OXL58mdOnT1OvXj2l4+S50NBQunXrhlarZcWKFfTu3VvpSMIAPXnyhLCwMIKCgtixY0fmWuaSJUvSo0cP/Pz8cHZ2lrsXhFCQFMtCCGEkoqKiGDZsGOHh4QBUr16dWbNm0aVLF/lhS08cPHgQNzc3o+kqZ+jUqRObN29m/fr1fPrpp0rHyRcLFy7kq6++wtTUlE2bNtGhQwelIwkDduvWLdasWcPq1as5d+5c5nEHBwfUajW+vr5UqVJFwYRCFEwyDVsIIQzc/fv3+frrr6lbty7h4eEULVqUGTNmcPHiRbp27SqFsh7JmIA9ePBgoymUwfgnYmdl0KBBBAYGkpaWRrdu3Th8+LDSkYQBq1ChAsOGDePMmTOcPHkSf39/ypQpw6VLlxg9ejRVq1alVatWrFq1ikePHikdV4gCQzrLQghhoJ4/f87ixYsZP348Dx48wMTEhL59+zJhwgTKli2rdDzxikOHDuHq6kqRIkWIi4ujZMmSSkfKNT/88AP9+vXDz88PjUajdJx8o9Vq6dOnD6tWraJkyZIcOHAg840DId5Vamoq27dvR6PRsGnTpswty6ytrenatSt+fn60adNGprILkYeksyyEEAZGq9USHh5O3bp1+frrr3nw4AGtW7fm5MmTLFmyRAplPfVyV9mYCmUomJ1l0O2vu3TpUjw9Pbl37x4eHh7Ex8crHUsYCTMzMzw9PVm3bh0JCQksW7aMFi1akJSURHBwMO3ataNy5coMHz6cs2fPKh1XCKMknWUhhDAg586dIyAgIHM/W3t7e2bNmsVHH30kt1vrscOHD+Pi4mKUXWWAhIQEypcvT/Hixbl//36B+1588uQJrVq14siRI9SvX589e/ZgY2OjdCxhpGJjY/nxxx/RaDRcuXIl83iDBg1Qq9X06NGDcuXKKZhQCOMhxbIQQhiAP//8k3HjxrFkyRLS09OxsbFh3LhxDBw4ULYYMQCenp5s3bqVUaNGMWXKFKXj5DqtVouNjQ2PHj3izp07lC5dWulI+e7u3bs0bdqUy5cv06pVKyIiIrC0tFQ6ljBiWq2WQ4cOodFoWLduHX/99RcApqameHh4oFar6dSpE9bW1gonFcJwSbEshBB6LCUlhQULFjBx4kQSExMxNTWlf//+jB8/nlKlSikdT2TDkSNH+OCDDyhcuDBxcXFG++fm7OzMsWPH2LdvH82aNVM6jiJiY2Nxc3MjISEBb29v1qxZg4mJrHgTeS85OZnw8HA0Gg3h4eGkpqYCUKxYMT799FPUajXNmjWT70chckj+xgghhB7SarWEhYXx/vvvM2zYMBITE/Hw8ODMmTMsXLjQaAsuY5SxVvmrr74y6j+3grpu+WXVq1dn69atFC1alJCQEAICApCehMgPlpaWdO3albCwMOLj41mwYAHOzs48fPiQ5cuX8+GHH1KjRg3Gjh1LdHS00nGFMBhSLAshhJ45ffo0rVu3pkuXLly5cgVHR0ciIiKIjIykdu3aSscTOXDkyBEiIiIoXLgwQ4cOVTpOnnJwcADg0qVLCidRVoMGDQgLC8Pc3Jz58+cza9YspSOJAqZUqVIMGjSII0eOcPHiRQIDA6lcuTJxcXFMnDiRmjVr4urqyuLFi7l//77ScYXQa1IsCyGEnrh9+zb//ve/cXJy4rfffsPW1pYFCxZw5swZ2rdvr3Q88RYyusqDBg0y6q4ySGf5Za1atSIoKAiAESNGZH4sRH5zdHRk8uTJxMXFsWvXLnr16kWRIkU4dOgQAwYMoHz58nh5ebFp0yZSUlKUjiuE3pE1y0IIobBnz54xb948pkyZwqNHjzAzM2PgwIGMHTsWW1tbpeOJt3T06FGaNGlC4cKFiY2NNfqhVydPnqRhw4bUqlWLCxcuKB1HL8yfP58hQ4ZgZmbGli1b8PDwUDqSEDx58oSwsDA0Gg2//vor6enpAJQsWZIePXqgVqtp3LhxgZtqL0RWpFgWQgiFaLVafv75Z4YPH05cXBwAHTt2ZNasWZm3tArD1bFjR8LDwxkxYgTTp09XOk6ee/z4MUWLFsXc3JykpCRMTU2VjqQXvvnmG2bMmEHhwoXZvXs3jRs3VjqSEJlu3rzJmjVr0Gg0nDt3LvO4o6Mjfn5++Pr6UqVKFQUTCqEsKZaFEEIBx48fx9/fn3379gFQp04d5syZw7/+9S+Fk4nccOzYMZydnSlUqBBxcXFG31XOUKlSJW7evMmVK1eoUaOG0nH0Qnp6Or169SIoKIjSpUtz4MAB7OzslI4lxN9otVpOnz6NRqMhODiYO3fuAKBSqXB3d0etVuPl5UXRokUVTipE/pI1y0IIkY9u3bpF7969cXZ2Zt++fZQqVYrvv/+ekydPSqFsRDLWKg8cOLDAFMog65azYmJiwvLly/Hw8ODPP//Ew8OD27dvKx1LiL9RqVQ0aNCAOXPmcPPmTcLDw/H29sbCwoLffvuN3r17U7ZsWXx9fdm2bRtpaWlKRxYiX0ixLIQQ+SApKYlJkyZRs2ZNVq1ahZmZGcOHD+fKlSt88cUXmJmZKR1R5JLjx4+zZcsWChUqxLBhw5SOk69kInbWzM3NCQ0NpXHjxsTExODp6cmjR4+UjiVElszMzPD09GTdunUkJCTwww8/0KJFC5KSkggODqZdu3ZUrlyZ4cOHc/bsWaXjCpGnpFgWQog8pNVqWbt2LQ4ODowZM4YnT57QpUsXLly4wIwZM7CxsVE6oshlL3eVy5Qpo3Ca/CWd5dcrUqQI4eHh1KhRgxMnTuDl5SXTh4XeK168OH379mXPnj3ExMQwYcIE7OzsiI+PZ9asWdSrVw8nJyfmzp1LQkKC0nGFyHWyZlkIIfLI4cOH8ff35+DBg4Bu/9W5c+fi7u6ubDCRZ44fP07jxo0pVKgQsbGxBa5YjoiIoEOHDrRq1YqdO3cqHUcvXb16FTc3N+7cuYOPjw8ajQYTE+ldCMOh1Wo5dOgQGo2GdevW8ddffwFgamqKh4cHarWaTp06YW1trXBSId6d/OsshBC57I8//sDX1xcXFxcOHjxI2bJlWbZsGceOHZNC2chNmDABgAEDBhS4Qhmks5wdNWrUICIigiJFihAcHMw333yjdCQhckSlUuHq6srixYtJSEjg559/pnPnzqhUKiIiIujevTvlypWjb9++7N27N3NrKiEMkXSWhRAilzx58oQZM2Ywc+ZMkpKSsLS0JCAggFGjRskE0QLgxIkTNGrUCGtra2JjYylbtqzSkfJdamoqhQoV4vnz5zx+/JjChQsrHUlv7dixA09PT1JTU5k9ezYBAQFKRxLinfz555+EhISg0Wg4evRo5vFq1arh5+eHn58f9vb2CiYUIuekWBZCiHeUnp5OcHAwI0eO5NatWwB069aN6dOnU61aNWXDiXzz8ccfs2nTJoYOHcqsWbOUjqOYWrVqERUVxcmTJ2nQoIHScfRacHAwvr6+AKxZs4YePXoonEiI3HHx4kWCgoIICgrixo0bmcddXV1Rq9V069YNW1tbBRMKkT1SLAshxDvYv38/Q4YM4dixYwA0btyYuXPn0qxZM4WTifx08uRJGjZsWKC7yhky3jQICQmhW7duSsfRe7Nnz2bYsGGYm5sTERFBmzZtlI4kRK5JT09n9+7dBAUFERoayuPHjwGwsLCgY8eOqNVq2rdvj4WFhcJJhciarFkWQoi3EBcXh7e3N82aNePYsWNUqFCB1atXc/jwYSmUC6CMtcpffvllgS6U4f/XLcv2UdkzdOhQAgICeP78OV26dOHkyZNKRxIi15iYmNCqVStWrlxJQkICP/74I23btiU1NZUNGzbw8ccfU6FCBb766iuOHj2K9PCEvpHOshBC5MCjR4+YNm0as2fPJjk5GSsrK0aMGMGIESNkfWYB9XJXOSYmhnLlyikdSVHLly+nb9+++Pr6EhQUpHQcg5Ceno6vry9r166lbNmyHDhwgPfee0/pWELkmZs3b7JmzRpWr17N+fPnM487Ojri5+eHr68vVapUUTChEDpSLAshRDakpaWxevVqRo8enbmXZM+ePZk6dar8h17AdenShbCwMPz9/ZkzZ47ScRS3b98+WrRogbOzM0eOHFE6jsFISUmhQ4cO/Prrr9jZ2bF///4COVFdFCxarZZTp04RFBREcHAwd+7cAXQTt93d3VGr1Xh5ecmQTKEYKZaFEOIf7NmzB39//8zbIz/44APmzZuHi4uLwsmE0k6dOoWTkxNWVlbExsYW+K4ywJ07dyhbtiw2NjY8ePAAlUqldCSD8fDhQ9zd3Tl58iTOzs7s2rWLIkWKKB1LiHyRmprK9u3b0Wg0hIWFkZycDIC1tTVdu3ZFrVbTunVrTE1NFU76GnFxcOwYHD8OJ0/C/fuQkgIWFmBrC05O0KgRNG4MMvzTYEixLIQQr3H16lVGjBjBhg0bAKhcuTLTpk2jR48eUgAIALp27crGjRsZMmQIc+fOVTqOXtBqtZQoUYLExEQSEhIK/BrunEpISMDNzY3Y2FjatWvHL7/8grm5udKxhMhXf/31F6GhoWg0Gvbt25d5vHz58vj6+uLn50fdunUVTPhCUhKEhMCiRfDSdln/yNkZBg6Ebt3A2jrv8ol3JsWyEEK8IjExkcmTJzN//nxSUlIoVKgQI0eOZOjQoRQqVEjpeEJPnD59mgYNGmBlZUVMTAzly5dXOpLeaNKkCUePHmXv3r00b95c6TgGJzo6Gjc3N+7evYtarWbVqlXyBp0osGJjY/nxxx/RaDRcuXIl83iDBg1Qq9X07Nkz/9+US0uDefNgyhRdB/lt2dpCYCAMGQL62jEv4GQathBCvJCWlsaSJUuwt7dn5syZpKSk8Nlnn3H58mXGjBkjhbL4m4wJ2F988YUUyq9wcHAAZCL227K3tyciIoJChQqh0WgIDAxUOpIQiqlevTpjxozh8uXLHDhwgP79+1O8eHFOnTpFQEAAFStWpEOHDoSEhJCUlJT3gaKioFkzGDbs3Qpl0L1+2DDd+aKiciefyFVSLAshBLBz506cnJzo378/f/75J82aNePo0aOsWrWKihUrKh1P6JkzZ86wYcMGrKys+Oabb5SOo3cyto+6fPmywkkMl7OzMz///DNmZmZMmzaN7777TulIQihKpVLh6urK4sWLSUhIIDQ0lE6dOqFSqYiIiKB79+6UK1eOvn37snfvXtLT03M/RHAwNGgAhw7l7nkPHdKdNzg4d88r3pkUy0KIAu3y5ct06tSJNm3acPbsWapWrcr69evZu3cvjRs3Vjqe0FMZXeV+/fpJVzkL0lnOHe3atWP58uUADBkyhPXr1yucSAj9YGlpiZeXF5s2beLWrVssWLAAZ2dnHj58yPLly/nwww+pUaMGY8eOJTo6OncuunQp+PrCi8FjuS45Gfz8dNcRekPWLAshCqQHDx4wceJEFixYQGpqKkWKFGH06NEMGTIEKysrpeMJPXbmzBnq16+PpaUlMTExVKhQQelIeidjSrijoyMXL15UOo7Bmz59OiNHjsTCwoLIyEhatmypdCQh9NLFixcJCgoiKCiIGzduZB53dXVFrVbTrVs3bG1tc37i4GBdoZwfVCoICgIfn/y5nngjKZaFEAVKamoqS5YsYdy4cdy7dw+VSkWfPn2YNGmSbPsjsuXTTz8lNDSUwYMHM3/+fKXj6KUnT55QpEgRzM3Nefr0KWZmZkpHMmharZYhQ4bw3XffUaxYMfbu3Uv9+vWVjiWE3kpPT2f37t1oNBp+/vlnHj9+DICFhQUdO3ZErVbTvn17LCws/vlkUVHQoAGPkpP5DTgKHHvx670XT7kIOOYw4xAg43+QD4HdL3/R0hJOnQLHnJ5V5DYploUQBUZkZCRDhw7lwoULALi7uzN37lwaNGigcDJhKM6ePUu9evWkq5wNlStX5saNG0RHR2NnZ6d0HIOXnp5Ojx49WL9+PeXLl+fAgQNUk71ahfhHT548ISwsDI1Gw6+//pq5lrlkyZL06NEDtVpN48aNs544n5amG7516BBhQJfXXCOnxfJx4AMg7cXn/1MsA7i6wr59MiVbYbJmWQhh9C5evIinpyft27fnwoUL1KhRg40bN7Jr1y4plEWOTJw4EdCtVZZC+c1k3XLuMjExQaPR4O7uTnx8PO3atePu3btKxxJC7xUuXBgfHx+2bdvG9evXmTFjBu+//z737t1j4cKFNGnShNq1azN16lSuX7/+9xfPm/e3YV5lAE9gHPC2K4vTgS8AFdDoTU88eFB3faEo6SwLIYzWvXv3GD9+PIsXLyYtLY1ixYoxZswYvvrqKywtLZWOJwzMuXPnqFu3LhYWFsTExMiU9H8wYMAAFi9ezJw5c/D391c6jtFITEykRYsWnDlzhg8++ICdO3dSuHBhpWMJYVC0Wi2nTp1Co9GwZs0a7ty5A+gmbrds2RI/Pz+8PD0pWqtW5vZQacDLPd44oPqLj3PSWZ6P7hZsf+A+sJrXdJZBtw/zjRtgbZ2T357IRdJZFkIYnZSUFObNm4ednR0LFy5Eq9XSv39/oqOjGTZsmBTK4q283FWWQvmfSWc5b9jY2LB161aqVq3K4cOH8fb2JjU1VelYQhgUlUqFk5MTc+fO5caNG4SHh+Pt7Y2FhQW7du2id+/eDK1U6W/7KOfGzdA3gDFABeA/2XnB/fsgU/AVJcWyEMJoaLVaNm/eTJ06dfD39+evv/6iTZs2nDp1isWLF1OmTBmlIwoDde7cOX766ScsLCxkX+Vskr2W806FChXYtm0bJUuWJDw8nC+++AK5UVCIt2Nubo6npyfr1q0jISGBH374gebNm9P3+fNcv9Zg4BEwByia3RctWpTrOUT2SbEshDAKZ8+epW3btnTq1Ino6Ghq1qzJ5s2b2b59O3Xr1lU6njBwEydORKvV8u9//5tKlSopHccgSGc5bzk4OLBlyxasra1ZsWIFY8eOVTqSEAavePHi9O3bl70aDU2A3HwLajOwEWgDeOfkhUeOQFxcLiYROSHFshDCoN25c4f+/fvToEEDfv31V4oXL868efM4e/YsHTt2zHq6pRA5cP78+cyu8siRI5WOYzCqVq2KhYUFt27dyty2ReQuFxcX1q9fj6mpKZMmTWKRdKCEyB3HjgG6IVy54QkwCLAAFr7NCY4fz6UkIqekWBZCGKTk5GRmzpyJvb09S5YsQaVS8dVXX3HlyhW+/vrr7O2dKEQ2ZHSV+/btK13lHDA1Nc3cMkpuxc47HTt2ZOlS3VzeQYMGsWHDBoUTCWEEcrk4HQtcB4YDDnqQR2SfFMtCCIOi1WrZuHEjtWvXZsSIETx8+JD27dtz9uxZvvvuO0qWLKl0RGFELly4wPr166Wr/JZk3XL+6NOnD5MmTUKr1dKzZ0/27t2rdCQhDNvJk7l2qlPoJmBXA0a/7UlOnMitOCKHpFgWQhiMkydP0rJlS7p27UpMTAy1atVi69atREREUKtWLaXjCSOU0VX+/PPPqVy5stJxDI6sW84/gYGBDBgwgOTkZDp16sTZs2eVjiSE4XppCva7SAf6odt26jvgrTeAevAgV/KInJNiWQih9xISEvj8889p1KgRe/bsoWTJkixcuJAzZ87Qrl07peMJI3Xx4kVCQkIwNzdn1KhRSscxSNJZzj8qlYrvvvuOrl27kpiYSPv27bl+/brSsYQwTCkpuXKa1cBRoC3QEnj8yiNj07e0l46lZXWi5ORcySNyToplIYTeevbsGVOnTsXe3p4VK1ZgampKQEAA0dHRDBw4EDMzM6UjCiMmXeV3J53l/GVqakpwcDAtWrTg5s2btGvXjvu51CETokDJpbkn1178uh3dVlGvPoJffP33l47ty+pElpa5kkfknBTLQgi9o9VqWb9+PY6OjgQGBvL48WM6derE+fPnmT17NiVKlFA6ojByUVFRrFu3TrrK7+jlzrLsA5w/rKys2LRpE3Xq1OHixYt89NFHJCUlKR1LCMNia6t0gr+Tn3sUI8WyEEKvHDt2jObNm+Pt7c21a9eoW7cuv/76K5s2bcr8wVuIvPZyV7lKlSpKxzFYpUqVokSJEjx69IiEhASl4xQYxYsXZ+vWrVSuXJkDBw7QvXt3UlNT//mFQggdJ6dcOc14dHs1v+7x2YvnffjSMfesTtSwYa7kETknxbIQQi/cvHmTzz77DGdnZ/bv30/p0qVZsmQJJ0+epHXr1krHEwVIVFQUa9eula5yLlCpVLJuWSGVKlUiMjKSEiVK8MsvvzBw4EDp7guRXY0aZXn47kuPl0du/fXK19LzKY/Ie1IsCyEU9fTpUyZMmEDNmjXRaDRYWFgwYsQIoqOj6devH6ampkpHFAVMxhY8ffr0ka5yLpB1y8qpXbs2mzdvxsrKiqVLlzJhwgSlIwlhGBo3zvJw6ZceL/d6XV/5Wq6P1pNiWTFSLAshFJGenk5wcDAODg6MGzeOp0+f4uXlxcWLF5k+fTo2NjZKRxQF0KVLl6SrnMuks6yspk2bsm7dOkxMTBg/fjxLly5VOpIQ+q9aNXB2VjqFTpMmujxCEVIsCyHy3aFDh3Bzc8PX15cbN27g5OTE7t27CQ0N5b333lM6nijAJk2aRHp6Or1796Zq1apKxzEK0llWXufOnVm8eDEAX375JZs2bVI4kRAGYMCA/zn0pvXHLz+qZfMSq148f3cOc4j8o9LKAhYhRD65fv06I0eOZO3atQCUK1eOKVOmoFar5XZrobjLly9Tq1YtTExMiI6Oppq8k58rzpw5Q/369alZs6YUzAr7z3/+w/jx47GysuLXX3+ladOmSkcSQn8lJUGlSqDk9mu2tnDzJlhZKZehgJPOshAizz1+/JixY8fi4ODA2rVrsbS0ZPTo0Vy+fJnevXtLoSz0wstdZSmUc4+9vT0AMTExPH/+XOE0BdvYsWPp168fz54946OPPuLChQtKRxJCf1lbQ2CgshkCA6VQVph0loUQeSY9PZ2goCBGjRpFfHw8AN7e3kyfPl1ucRV6RbrKeatq1apcv36dS5cuyRZwCktNTeWTTz5h06ZNmVtLVapUSelYQuintDRo1gwOHcr/a7u6wr59IA0FRUlnWQiRJ37//XeaNGlCr169iI+Px9nZmd9//51169ZJoSz0TkZXuVevXlIo54GMdcsy5Et5ZmZmrF27Fjc3N/744w/at2/PgwcP/vmFQhREpqawciVYWubvdS0tddeVQllxUiwLIXJVbGws3bp1o3nz5hw/fpyKFSsSFBTEoUOHZH2c0EvR0dEEBwdjZmZGoNK33BmpjG6yrFnWD9bW1mzevJlatWpx7tw5OnfuzLNnz5SOJYR+cnSE5ctBpcqf66lUuuu9eJNRKEuKZSFErnj48CGjRo2iVq1a/PTTT1hbWzNu3DguXbqEr68vJibyz43QTxld5c8++4zq1asrHccoyfZR+sfW1pbIyEgqVqzIvn378PHxIS0tTelYQugnHx/4/vu8L5hVKt11fHzy9joi2+SnVyHEO0lLS2PZsmXUrFmTadOmkZycjK+vL5cvX2b8+PEULlxY6YhCvNaVK1ekq5wPZPso/VSlShUiIyOxsbFhw4YNDB48GBllI8Rr9OsHQUF5d0u2lZXu/P365c35xVuRYlkI8dZ+++03GjVqxL///W9u376Nq6srhw8fJigoSAbGCIMwadIk0tLSUKvVssd3HpLOsv6qU6cOv/zyC5aWlixatIgpU6YoHUkI/eXjA6dOgYtL7p7X1VV3Xuko6x2Zhi2EyLErV64wfPhwwsLCAF13Yvr06Xh7e6PKrzU9QryjK1eu4OjoCOiKOCmW805aWhqFCxcmOTmZxMREihUrpnQk8YoNGzbwySefoNVqWb58OX369FE6khD6Ky0N5s2DKVPebR9mW1vd9lBDhsgwLz0lnWUhRLYlJiYyfPhwateuTVhYGIULF2bSpElERUXRvXt3KZSFQZk8ebJ0lfOJqakpdnZ2gG6gmtA/Xbt25b///S8A/fr1Y8uWLQonEkKPmZrC0KFw4wasWgVNmuTs9U2awOrVutcPHSqFsh6TzrIQ4h+lpqaybNkyxowZw927d1GpVPTq1YtJkyZRoUIFpeMJkWNXr1792zraGjVqKJzI+Hl5ebFhwwaCg4Pp2bOn0nHEa4wZM4ZJkyZhbW3Nrl27cMnt202FMFZxcXD8uO5x4gQ8eADJybo1ziVKQMOG0KiR7iFbFBoMM6UDCCH0244dO/D39+f8+fMANG/enLlz59KoUSOFkwnx9jK6yr1795ZCOZ/IumXDMGHCBG7dusWKFSvo0KED+/fvz1yuIIR4g2rVdA8vL6WTiFwkt2ELIbJ06dIlPvroI9q2bcv58+epXr06oaGh7NmzRwplYdCuXr2KRqPB1NSU0aNHKx2nwJCJ2IZBpVKxZMkSOnbsyP3792nXrh23bt1SOpYQQihCimUhxN/cv3+fIUOGUKdOHbZs2ULRokWZNm0aFy5cwMvLS9YlC4M3ZcoU0tLS8PPzk65yPpLOsuEwMzMjJCQEFxcXrl27Rvv27UlMTFQ6lhBC5DtZsyyEAOD58+d8//33jB8/nvv376NSqejbty8TJ06kbNmySscTIlfExMRkFm1RUVGZQ6dE3rt37x6lSpWiSJEiPHz4UN54MwB3796lWbNmXLp0CXd3dyIjI7HMqz1mhRBCD0lnWYgCTqvVEhERQb169Rg8eDD379+nZcuWnDx5kqVLl0qhLIxKRlfZ19dXCuV8VrJkSWxtbXn8+DHx8fFKxxHZUKpUKSIjIylfvjy7d+/Gz8+P9PR0pWMJIUS+kWJZiALs/PnztG/fng4dOmR22cLCwti5cyf169dXOp4QuSomJobVq1djYmIia5UVIuuWDU+1atXYunUrxYoV46effmLIkCHITYlCiIJCimUhCqC7d+8ycOBA5eUkbgAAIABJREFU6tevz7Zt27CxsWH27NmcP3+ezp07y+2RwihNmTKF1NRUfH19sbe3VzpOgSTrlg1T/fr1CQsLw8LCggULFjBjxgylIwkhRL6QraOEyC9xcXDsmG7/vZMn4f59SEkBCwuwtQUnJ93ee40b59n+eykpKSxcuJAJEyaQmJiIiYkJAwYMYPz48ZQuXTpPrimEPoiNjc3sKn/77bdKxymwpLNsuFq2bElQUBDdu3dn5MiRlCtXjs8++0zpWEIIkaekWBYiLyUlQUgILFoER4+++bnbtv3/x87OMHAgdOsG1tbvHEOr1fLLL78wbNgwrly5AkDbtm2ZPXs2derUeefzC6HvMrrKfn5+0lVWkHSWDVu3bt24ffs2gwcP5vPPP6dMmTK0b99e6VhCCJFnZBq2EHkhLQ3mzYMpU3Qd5LdlawuBgTBkCJiavtUpzpw5g7+/P7t27QJ0nZ05c+bQvn17ud1aFAhxcXHY29uTnp7OxYsXMws2kf/OnTtH3bp1sbOzIzo6Wuk44i2NGjWKadOmUahQIX777TeaNGmidCQhhMgTsmZZiNwWFQXNmsGwYe9WKIPu9cOG6c4XFZWjl96+fZt+/frh5OTErl27KFGiBN999x1nz57F09NTCmVRYGR0lXv27CmFssJq1KiBSqUiNjaWlJQUpeOItzRlyhTUajVPnz6lQ4cO8saHEMJoSWdZiNwUHAyffw7Jybl/bktLWL4cfHze+LTk5GTmz5/PpEmTePToEWZmZgwYMIBx48Zha2ub+7mE0GPXrl3Dzs6O9PR0Lly4kLlmViinevXqxMXFcfHiRRwdHZWOI97S8+fP6dSpE5GRkVSvXp0DBw5Qrlw5pWMJIUSuks6yELll6VLw9c2bQhl05/Xz010nC1qtlp9//platWrxzTff8OjRIzp27Mi5c+eYP3++FMqiQMroKvfo0UMKZT0h65aNg7m5OT/99BPOzs7Exsbi6enJw4cPlY4lhBC5SoplIXJDcDB88UXeX0erhf79ddd7yYkTJ3B3d+eTTz4hNjaW999/n23btrF582YpEESBde3aNVasWCETsPWMTMQ2HkWKFCE8PBw7OztOnjxJ165d5fZ6IYRRkWJZiHcVFaW79Tq/aLW660VFER8fT58+fWjcuDF79+6lVKlSLF68mFOnTtG2bdv8yySEHpo6dSqpqal0795dbvfVI9JZNi6lS5dm27ZtlC1blp07d9KrVy/S09OVjiWEELlCimUh3kVaGvTune1br7VAMNAaKAlYAdWB/kBsTq6bnMyNtm1xsLNj5cqVmJmZMXToUKKjo+nfvz9mZrIrnCjYrl+/zooVK1CpVIwZM0bpOOIl0lk2Pu+99x5bt26laNGirF27luHDhysdSQghcoUUy0K8i3nz4NChbD31OdAF8AV2AQ+BQkAcsASo9+J4dmiBSn/8wb+fPuXjjz/mwoULzJo1i+LFi+fwNyCEcZo6dSrPnz+nR48e0lXWM9JZNk5OTk5s2LABc3Nz5syZw+zZs5WOJIQQ70ymYQvxtpKSoFKlbG8PFQDMBcyAmUA/dMXyjRdf+wmwAS4C5bMZ4XnRopjfvg3W1jkML4Txun79OnZ2dqSmpnL+/Hlq1aqldCTxkvT0dAoXLsyzZ8/466+/sLGxUTqSyEVr166lZ8+eAPz444/4/MMODkIIoc+ksyzE2woJyXahfAf474uPA4Ah6AplgErAWqAWkAhMykEE80ePYP36HLxCCOM3bdo0nj9/Tvfu3aVQ1kMmJibY29sD0l02Rj169GDOnDkA9OrVi+3btyucSAgh3p4Uy0K8rUWLsv3UXUDGfFD/LL5uCgx+8fFadLds50UOIYzdH3/8wbJly2Stsp7LWLcsxbJx8vf3Z9iwYaSmpuLl5cXx48eVjiSEEG9FimUh3kZcHBw9mu2nX3vxqw1Q7jXPyVhV+QA4kZMsR47o8gghMtcqe3t7S1dZj2WsW5YhX8Zr+vTp+Pj48PjxYzw9Pbl69arSkYQQIsf+r717D66qvPc//t4ESeKlQlrrz0o1caqiVrkEI4mxKMpFFEXx1hO1WpTirdKf1rYZq44z5VQEjYrIj0LFw+FYLSoV64FOjzci94BoL3T6648oN0VJuARCoiG/P9aOhk0IueydtXfyfs3s2St7rfU838wwTD77edbzGJaltli1qlWXR6LvzW2m8UWj47+2th6/tZfYsGEDs2bNclQ5BTiy3Pl169aN3/72twwdOpStW7cyfPhwtm7dGnZZktQqhmWpLVoZTk+Mvu8CNhzkmr81Ot6c4HqkzujXv/41tbW1XHPNNZx++ulhl6NmOLLcNfTo0YOXXnqJAQMG8K9//YuRI0dSVVUVdlmS1GJuxiq1xZo1rbr8AqAHwXPLjwBTY87XAiWNft7V2npWt2rittTpbNy40WeVU0ifjAzGAIP+8hfqR4wgUlEBtbXQowdkZUH//pCbCwMHQnZ22OWqHY466ihef/11CgoKKCsrY8yYMSxYsIAePXqEXZokHZJhWWqLFq6C3eCbwHjgSWAawbPLtwHHAn8BfgqsBw4jWNyr1VM+Kitbe4fUqTQeVT7jjDPCLkdNqa4OdhGYNo2eK1cyD+CLL2DRogOvbfzZ2WfDHXfANde4TV6KOvbYY1m0aBEFBQX86U9/YuzYsTz33HN06+YER0nJzX2Wpbbo1w/Wrm3VLTXA1cCCg5y/A/gz8A/g18DPWtN4377w3nutqkfqLDZt2sRJJ53E559/zvvvv893v/vdsEtSY3V1UFICEye2+ovG/WRlQXExTJgAaWnxq08dZtWqVZx//vns3r2b++67j0ceeSTskiSpWX6lJ7VFG6aPpQN/AF4ELge+A+QAFwMvE0zD/ih67cmtbjy91fVInUXDqPJVV11lUE4269ZBYSHce2/7gjIE9997b9DeunXxqU8dauDAgbz00kt0796dSZMmUVJScuibJClEjixLbTFiRNNTB9thBXBO9HgT8K3W3Dx8OCxcGNd6pFTQMKpcW1vLBx98YFhOJnPnwtixUFMT/7bT02HWLCgqin/bSrg5c+Zw4403AvD8889z3XXXhVyRJDXNkWWpLfr3j3uTz0bfz6eVQRlgwIC41iKlikceecRR5WQ0YwZcf31igjIE7d5wQ9CPUs4NN9zApEmTALjxxht54403Qq5IkppmWJbaIjc3rs0tBWZGj3/RlgbiXI+UCjZv3syMaFh64IEHQq5GX5o7F370o8T3U18P48cH/Snl3HvvvUyYMIHPP/+c0aNH857rbkhKQoZlqS0GDmz1LW8CjwP/D6iLflYJPAUMB74AxgHD2lKPYVld0COPPEJNTQ1jxozhzDPPDLscQfAs8dixfESwDsMo4ASCNRuOAvoCPwe2HKKZWmAS0A84EugJ5AMzgP2eHauvD6Z6+wxzyolEIkyZMoVrr72WXbt2cfHFF7N+/fqwy5Kk/fjMstRWeXmwcmWLL58N3Bw97k7wB+AOvvrD7xZgOtDqNV7z8mD58tbeJaW0zZs3c9JJJ1FTU8PatWs566yzwi5JdXVQWMiGZcs4kf1D7deA3Xz1RWEv4CWCPehj7QSGAGXRnw8n+DKxNvrzpcArxOx9mZ8Pixe7SnYKqqmpYeTIkbzxxhucfPLJvPvuuxxzzDFhlyVJgCPLUtvdfnurLi8E7gb6E+yzvAfoDVwHvAH8hjYE5TbUIXUGkyZN+nJU2aCcJEpKYNmyLwPxJcDvgQqCLwb3AK8T7AJQCYwGPm6imVsJgnIWwVZ7VdF7ZwMZwGvAg7E3LV0a9K+Uk56eziuvvELfvn355z//yaWXXsru3bvDLkuSAEeWpbarrobevdu/HUp7ZGXBpk2QkRFeDVIH27JlCyeddBJ79+51VDlZNPr/cAdQTjDluinrCL403As8xP7Bdw3QsFzhH4DLYu59ApgAZEb7+Gbjk1lZsHEjZGa2+ddQeLZs2UJBQQHl5eWMHDmS+fPnc9hhh4VdlqQuzpFlqa0yM6G4ONwaiosNyupyJk2axN69e7nyyisNysnihRe+/OLwaA4elAH6AIOix2Ux5/4r+n4qBwZlCNZ1OBqoJtiffj8VFfDiiy2vWUnluOOOY9GiRXzjG9/g9ddfZ9y4cTieIylshmWpPSZMgEGDDn1dIuTnB/1LXciWLVuYPn064ArYSWXatFZd/vXoe13M529G3w+20GEmcF70uMnNhlpZh5LLKaecwmuvvcbhhx/O7Nmzuf/++8MuSVIXZ1iW2iMtDZ59FtLTO7bf9PSgXxezURfTMKp8xRVX0Ldvc+OX6jDl5a1a7PAL4N3oceOdsesJpmgDnNHM/adH3//W1MkVK4J6lLLOOeccfv/735OWlsbEiROZOnVq2CVJ6sIMy1J79ekDs2ZBJNIx/UUiQX+nntox/UlJ4uOPP3ZUORmtWtWqy58mWNirG3Bjo893EqyYDfCtZu5vOHfQ7afKYid3K9WMHDmSmTNnAvDjH/+YefPmhVyRpK7KsCzFQ1ERTJ+e+MAciQT9FBUlth8pCTWMKo8ePZp+/fqFXY4atCKcvg80rPRwJ/uPIDde/7i5JboOj75XxaEeJa+bbrqJiRMnUl9fT1FREW+99VbYJUnqggzLUryMGwdz5iRuSnZGRtD+uHGJaV9KYo4qJ7E1a1p02RaC7aL2ALnAIzHnGy/l1K6vHVevbs/dSiI///nPufPOO6mtreXyyy/n/fffD7skSV2MYVmKp6IieO+9+C/6lZ8ftOuIsrqoRx99lOrqai6//HL69+8fdjlqrAXb51UQLNq1HjgZ+CPBnsmNHdnoeE8zbTWcO/JgF1RWHrIepYZIJEJJSQlXXXUVO3fu5OKLL+bDDz8MuyxJXYhhWYq3Pn2gtBQmTw72/WyPrKygncWLfUZZXdYnn3zCM888A8CDDz54iKvV4Wprmz29AxgO/AU4AfgzcGwT130NOCJ6vLmZ9hrOHXewC2pqmq1HqSUtLY05c+YwePBgNm/ezIgRI9i2bVvYZUnqIgzLUiKkpcE998DGjTB7NuTlte7+vDx47rng/nvucdVrdWkNo8qXXXaZo8rJqEePg57aDYwEVgH/iyAon3CQayPAadHjvzbTXcMq2Kcf7IKO3p1ACZeRkcH8+fM588wzWbduHaNGjWLPnubmH0hSfETq3fFd6hjl5cHCM2VlwTN1lZXBCEh6OvTqBQMGQG5u8MrODrtaKSl88skn5OTkUF1dTVlZGQMGDAi7JMUaMQIWLTrg42rgEoK9k78OvE3zW0IB3Ac8CvQB/t7E+b0EoXsHMB34UVONDB8OCxe2sHilkk2bNlFQUMBHH33EqFGjePnll+nevXvYZUnqxPwfRuoo2dnBa8yYsCuRUsbkyZOprq5m1KhRBuVk1b//AWG5FriSICj3BP7EoYMywPcJwvI64DXg0pjzvyEIypnAFQdrxH8nndbxxx/PwoULKSwsZMGCBdx2223MmDGDSEdt3Sipy3EatiQpKW3dupWnn34a8FnlpJabu9+PdcC/AQuBo4D/BloaX/sD10SPbwJeb9TmfwA/i/78E+CbLaxHnctpp53Ga6+9RmZmJjNnzuShhx4KuyRJnZjTsCVJSem+++7j0UcfZdSoUbz66qthl6ODKS+HnJwvf3wHGBw9zgCObubWbwMrYz7bCQwBGnZLPpwgLDcs23Up8ArNTI1bv95HWbqABQsWMHr0aPbt28czzzzD+PHjwy5JUidkWJYkJZ2tW7eSk5PDnj17WLVqFbmOFia3vDxYGcTet4ALWnjbiUB5E5/XAo8DzwP/F0gjWNDrZuBWmtmHOS8Pli9vYe9KdTNnzuTWW2+lW7duzJs3jyuuOOjkfElqE6dhS5KSzpQpU9izZw+XXnqpQTkV3H77l4fnA/UtfJUfpLkeBFOu3wOqCJ5TXgqMo5mgHFOHOr9bbrmFhx9+mH379vH973+f0tLSsEuS1Mk4sixJSiqffvop2dnZ7Nmzh5UrVzJw4MCwS9KhVFdD795QURFeDVlZsGkTZGSEV4M6XH19PbfffjvTp0+nZ8+elJaWcsYZLVlOTpIOzZFlSVJSmTx5Mnv27OGSSy4xKKeKzEwoLg63huJig3IXFIlEmDp1KqNHj2b79u2MGDGCDRs2hF2WpE7CkWVJUtL49NNPycnJYffu3axYsYKzzz477JLUUnV1UFgIy5Z1fN/5+bB4MaSldXzfSgrV1dUMGzaM0tJSTj/9dEpLS+nVq1fYZUlKcY4sS5KSxpQpU9i9ezcjR440KKeatDR49llIT+/YftPTg34Nyl1aZmYmr776KmeccQZ/+9vfuOyyy6iurg67LEkpzpFlSVJS+Oyzz8jOzmb37t0sX76cvLy8sEtSW8ydCzfcAB3x50UkAnPmQFFR4vtSStiwYQMFBQVs3LiR0aNHM2/ePNL8IkVSGzmyLElKCg2jyhdffLFBOZUVFcH06UGQTaRIJOjHoKxGvv3tb7Nw4UJ69uzJ/PnzueOOO3BcSFJbObIsSQrdZ599Rk5ODlVVVSxbtoxzzjkn7JLUXnPnwtixUFMT/7YzMmDmTIOyDqq0tJShQ4eyd+9eHn74YX75y1+GXZKkFOTIsiQpdI899hhVVVWMGDHCoNxZFBXBe+/BoEHxbTc/P2jXoKxmFBYW8vzzz9OtWzceeOABZs6cGXZJklKQI8uSpFBt27aN7OxsqqqqWLp0KYPiHa4Urro6KCmBiRPbtw9zVlawPdSECS7mpRabPn06t912G926deOVV17hsssuC7skSSnEkWVJUqgaRpWHDx9uUO6M0tLgnntg40aYPRta+zx6Xh4891xw/z33GJTVKuPHj+eBBx5g3759XHvttSxZsiTskiSlEEeWJUmhaTyqvGTJEvLz88MuSR2hvBzKyoLX6tVQWRk825yeDr16wYABkJsbvLKzw65WKa6+vp5x48Yxc+ZMsrKyKC0t5bTTTgu7LEkpwLAsSQrN/fffz69+9SuGDRvGokWLwi5HUif1xRdfcOWVV7JgwQJOOOEElixZwvHHHx92WZKSnGFZkhSKiooKsrOz2bVrF++++y4FBQVhlySpE9uzZw8XXXQRS5cu5cwzz+Sdd96hZ8+eYZclKYn5zLIkKRSPP/44u3btYtiwYQZlSQl3+OGHs2DBAvr06cMHH3zA6NGj2bt3b9hlSUpijixLkjqco8qSwvLhhx9SUFDA5s2bueqqq/jd735HmgvHSWqCI8uSpA7XMKo8dOhQg7KkDnXiiSeycOFCjj76aObNm8fdd9+NY0eSmuLIsiSpQ1VUVJCTk8POnTspLS3l3HPPDbskSV3Q22+/zbBhw6itrWXixIn84he/CLskSUnGkWVJUocqKSlh586dXHTRRQZlSaEZPHgwc+fOJRKJUFxczOzZs8MuSVKScWRZktRhKisryc7OZufOnSxevJjCwsKwS5LUxU2dOpW77rqLtLQ0Xn31VUaOHBl2SZKShCPLkqQO0zCqfOGFFxqUJSWFO++8k+LiYurq6rj66qtZvnx52CVJShKOLEuSOsT27dvJzs5mx44dvPPOO5x33nlhlyRJANTX1/PDH/6Q2bNn8/Wvf50lS5ZwyimnNH9TeTmsWgVlZbBmDVRUQG0t9OgBWVnQvz/k5sLAgZCd3RG/hqQ46x52AZKkrqGkpIQdO3YwZMgQg7KkpBKJRJgxYwZbt27l9ddfZ/jw4SxZsoTjjjtu/wurq+GFF2DaNFi5svlGFy366vjss+GOO+CaayAzM/6/gKSEcGRZkpRwjUeV3377bb73ve+FXZIkHWD37t0MGTKEFStW0LdvX95++22OPvpoqKuDkhKYODEYQW6rrCwoLoYJE8C9naWk5zPLkqSEe+KJJ9ixYwcXXHCBQVlS0jriiCP44x//yCmnnMLatWu58sorqX3/fSgshHvvbV9QhuD+e+8N2lu3Lj5FS0oYR5YlSQnVeFT5rbfeYvDgwWGXJEnNWr9+PQUFBQz5+GOe7daNHvv2xb+T9HSYNQuKiuLftqS4cGRZkpRQTz75JDt27OD88883KEtKCTk5Oay45RbmQmKCMkBNDdxwA8yYkZj2JbWbI8uSpITZsWMH2dnZbN++nTfffJPzzz8/7JIk6dDmzoXrr++YviIRmDPHEWYpCTmyLElKmCeffJLt27czePBgg7Kk1LBuHYwdC8Aq4JfACOA7wNFAOnA8cDkw/xBNvQlcA3w7et8RwOnAXcC/Gi6qrw/68xlmKek4sixJSghHlSWlnLq6YPGtZcsAGA/8n0anjwS+APY2+mwM8DxwWExTvwB+3ejnI4Ba4PPozxnAPOCShgvy82HxYlfJlpKII8uSpIR46qmnHFWWlFpKSr4MygD5wONAGbAr+qoGPgJ+Gr3mJfYPxQB/avTZ94H1QBVByF4CnBU9vh7Y0XDT0qVB/5KShiPLkqS427FjBzk5OVRWVvLGG29wwQUXhF2SJDWvuhp6927V9lA3AP8JnESjadXAD4D/AE4G/g7EjhWvj94D8AowuuFEVhZs3AiZma0uX1L8ObIsSYq7p556isrKSr73ve85qiwpNbzwQqv3UT47+r455vNPou9ncWBQBsgBsqLHuxufqKiAF19sVQ2SEsewLEmKq507d/LYY48B8OCDDxKJREKuSJJaYNq0Vt+yJPqeE/N5dvT9faCuifvWAw2xvH8c6pCUGIZlSVJcNYwqn3feeU6/lpQaysth5coWXVpFEILvAF6IfnZnzDW3ABHgn8CNwIfRz/cBS/lq2vWtBKtj72fFiqAeSaEzLEuS4sZRZUkpadWqZk9vJAi/EeAooC8wjWBF64eB22OuHwj8Nnr+vwhGmo8EMoECgoXCJrP/Stv7KStr9a8gKf4My5KkuJk6dSoVFRUUFhYyZMiQsMuRpJY5RDhNA46NvnpEP+tOsD1U7Khyg5sI9mE+JvrzboKtowD2EEzDrj3wthbVI6ljGJYlSXGxa9cupkyZAsBDDz3kqLKk1LFmTbOnjwM+jr6qgX8QTK9+EOgH/DXm+s8JpmKPAL4DvAVUApv4ak/micBQvtp3eT+rV7flt5AUZ4ZlSVJcNIwqn3vuuY4qS0otrVgFuxtwCjAL+N8Eey5fT/A8coNJ0fOnA28Cg4GewLeA64D/IZiivRiY2VQnlZWt/AUkJYJhWZLUbrt27WLy5MmAo8qSUlDtQSdEN+uu6Pt7QOOx6Sei77cD6U3cdwpwSfT4D001XFPTpnokxZdhWZLUbk8//TQVFRUUFBRw4YUXhl2OJLVOjx6HvqYJxzc6/lf0fRvwafQ4dkupxk6Kvpc3dTK9qYgtqaMZliVJ7VJVVeWosqTUlpXVptvWNzo+Mvre+I/rj5q5t2E7qaOaOtmrV5vqkRRfhmVJUrs8/fTTbNu2jfz8fC666KKwy5Gk1uvf/4CP6oD6Q9z2aPS9O5AfPe4FnBA9/m20nVgbgYXR43OaanjAgEP0LKkjGJYlSW1WVVXFo48Gfy46qiwpZeXmHvDRBr7aL3ljo8/3ETyjXMRXi3PdRRCSG4yPvq8EriRYPbueYOXrtwhWyd5JELJj92g+WD2SOl73sAuQJCWR8nJYtSrY43PNmmCF2Nra4Hm+rKxg9CU3FwYOhOxspk2bxrZt2xg0aBBDhw4Nu3pJapuBA5v8eDUwNnqcQTDVehfQePmtmwhWv27sp9F75wGvRl+ZBGH5i+g1hwG/IVgx+wCGZSkpROrr6w81w0SS1JlVV8MLL8C0abByZYtvq8vN5e5//INZVVXMX7iQ4cOHJ7BISUqwvLz9/g+sBeYTbPO0AthCsHhXBsE063zgZuDcZpp8GXiOYIT5M4JRqt7ABcCPgTMOVsfy5e37XSTFhWFZkrqqujooKYGJE1u1x2isHd2787V//3ciP/kJpKXFsUBJ6kCzZ8PNN4ddRVDHD34QdhWSMCxLUte0bl3wR+GyZfFrc9AgePZZ6NMnfm1KUkeprobevdv15WG7ZWXBpk2QkRFeDZK+5AJfktTVzJ0L/frFNyhD0F6/fkH7kpRqMjOhuDjcGoqLDcpSEnFkWZK6khkz4Ec/SmwfkQhMnw7jxiW2H0mKt7o6KCyM/5eJLZGfD4sX+ziLlEQMy5LUVcydC9df3zF9RSIwZw4UFXVMf5IUL+vWBbNkamoOfW28pKfD2rVw6qkd16ekQ3IatiR1BevWwdix7CLYwuSXwMXAN4BI9LWumdtvanTdoV43A9TXw9ixQb+SlEr69IFZs4Iv/TpCJBL0Z1CWko77LEtSZ1dXFyzmVVPD/wBXtKGJo4Fjmzn/OdCwJM6Ahg9rauCHP3RaoaTUU1QEu3fD+PHBl3+J0vDYirNwpKTkyLIkdXYlJfs9f/dNYCTwIDCjhU08AXzczOv+6HWHAf/W+MalS4P+JSnVjBsXPE6Snp6Y9jMygvZd30FKWj6zLEmdWcxWKHVA4zHeciAnevx3oK2bPvUD1hKMWr8cezIrCzZuDFaalaRUk4it9vLzg632nHotJTVHliWpM3vhhf32DE3EZOi10RcEzzYfoKICXnwxAT1LUgfo0wdKS2Hy5ODLv/bIygraWbzYoCylAMOyJHVm06YlvIvnou/HECwaFlYdkpQwaWlwzz3BLJnZsyEvr3X35+XBc88F999zj+s4SCnCadiS1FmVl0NOTvOX0L5p2F8AvYFPgLuBZp9OXr8esrNb2YMkJanycigrC16rV0NlZbCwYXo69OoFAwZAbm7w8v8+KSW5GrYkdVarViW8i/8mCMpwkCnYjZWV+QejpM4jOzt4jRkTdiWSEsRp2JLUWZWVJbyLhinYZxEs8tWsDqhHkiQpXgzLktRZrVmT0OYrgAXR4x+05IbVqxNXjCRJUpwZliWps2q0CnYi/A6oJXiep6glN1RWJrQeSZKkeDIsS1JnVVub0Oaz3lEIAAAEOklEQVQbpmCPAI5tyQ01NYkrRpIkKc4My5LUWfXokbCm/w6siB63aAo2BCvESpIkpQjDsiR1VllZCWu6YVQ5C7ispTf16pWYYiRJkhLAsCxJnVX//glpdh/wn9Hj64AWj18PGJCQeiRJkhLBfZYlqbPKzW3y488aHTdecmt7zLksmv5G9c/Apuhxi6dgN1OPJElSMjIsS1JnNXBgkx8fc5DL82N+Xg9kN3FdwxTs04C81tRjWJYkSSnEadiS1FllZ8PZZ8e1yZ3AK9HjVo0q5+UF9UiSJKUIw7IkdWa3337AR/UtfGU30dzXgD3R8z9rZx2SJEnJLFJfX18fdhGSpASprobevaGiIrwasrJg0ybIyAivBkmSpFZyZFmSOrPMTCguDreG4mKDsiRJSjmOLEtSZ1dXB4WFsGxZx/ednw+LF0NaWsf3LUmS1A6GZUnqCtatg379oKam4/pMT4e1a+HUUzuuT0mSpDhxGrYkdQV9+sCsWRCJdEx/kUjQn0FZkiSlKMOyJHUVRUUwfXriA3MkEvRTVJTYfiRJkhLIadiS1NXMnQtjxyZmSnZGBsycaVCWJEkpz7AsSV3RunVw883xXfQrPx+efdap15IkqVNwGrYkdUV9+kBpKUyeHOyD3B5ZWUE7ixcblCVJUqfhyLIkdXXV1fDiizBtGqxY0fL78vLgjjvg6quD/ZwlSZI6EcOyJOkr5eVQVha8Vq+Gysrg2eb0dOjVCwYMgNzc4JWdHXa1kiRJCWNYliRJkiQphs8sS5IkSZIUw7AsSZIkSVIMw7IkSZIkSTEMy5IkSZIkxTAsS5IkSZIUw7AsSZIkSVIMw7IkSZIkSTEMy5IkSZIkxTAsS5IkSZIUw7AsSZIkSVIMw7IkSZIkSTEMy5IkSZIkxTAsS5IkSZIUw7AsSZIkSVIMw7IkSZIkSTEMy5IkSZIkxTAsS5IkSZIUw7AsSZIkSVIMw7IkSZIkSTEMy5IkSZIkxTAsS5IkSZIUw7AsSZIkSVIMw7IkSZIkSTEMy5IkSZIkxTAsS5IkSZIUw7AsSZIkSVIMw7IkSZIkSTEMy5IkSZIkxTAsS5IkSZIUw7AsSZIkSVIMw7IkSZIkSTEMy5IkSZIkxTAsS5IkSZIUw7AsSZIkSVIMw7IkSZIkSTEMy5IkSZIkxTAsS5IkSZIUw7AsSZIkSVIMw7IkSZIkSTEMy5IkSZIkxTAsS5IkSZIUw7AsSZIkSVIMw7IkSZIkSTEMy5IkSZIkxTAsS5IkSZIUw7AsSZIkSVIMw7IkSZIkSTEMy5IkSZIkxTAsS5IkSZIUw7AsSZIkSVIMw7IkSZIkSTEMy5IkSZIkxTAsS5IkSZIUw7AsSZIkSVIMw7IkSZIkSTEMy5IkSZIkxTAsS5IkSZIUw7AsSZIkSVIMw7IkSZIkSTEMy5IkSZIkxTAsS5IkSZIU4/8DVrp9+woLMesAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "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": 19, "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": 19, "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": 20, "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": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "image/png": { "height": 250, "width": 390 } }, "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": 21, "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": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 250, "width": 390 } }, "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": 60, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 263, "width": 393 } }, "output_type": "display_data" } ], "source": [ "dc = pd.Series(nx.degree_centrality(G))\n", "bc = pd.Series(nx.betweenness_centrality(G))\n", "\n", "df = pd.DataFrame({'dc': dc, 'bc': bc})\n", "df.plot(kind='scatter', x='dc', y='bc')" ] }, { "cell_type": "code", "execution_count": 23, "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": [ "Text(0.5,1,'centrality scatterplot')" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 277, "width": 393 } }, "output_type": "display_data" } ], "source": [ "# Possible answer:\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": 24, "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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\n", 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